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g/(-42)). What is the greatest common factor of s and l? 22 Suppose 0*i - 6682 - 11266 = -7*i. What is the greatest common factor of i and 4? 4 Let b = -24 + 46. Let m(o) be the third derivative of -o**4/12 + 61*o**3/6 - 113*o**2 - 2*o. Let p be m(25). What is the greatest common divisor of b and p? 11 Let z(u) = 3*u**2 + 502*u + 1751. Let y be z(-164). What is the highest common divisor of y and 312? 3 Let q = -65 - -72. Let v(j) = j**3 - 7*j**2 + j + 18. Let t be v(q). Calculate the highest common factor of t and 5. 5 Let w be ((-24)/(-9))/((-2)/(-255)). Let k(o) = -2*o**2 + 268*o - 1999. Let y be k(8). Calculate the highest common divisor of w and y. 17 Suppose -395 = -6*a + 115. Suppose 84*w = a*w - 1. Let f = 40 - 29. Calculate the highest common factor of f and w. 1 Suppose -5*i + 17 = -3. Suppose -i*j + 2*j + 88 = 0. Let s be ((-195)/26)/(6/(-88)). What is the greatest common factor of s and j? 22 Suppose r + 112 = 2*h - r, r + 3 = 0. Let p = 134 - h. Calculate the highest common divisor of p and 54. 27 Let w(r) = 2*r**2 - 8*r + 24. Let o be w(8). Suppose -140 = o*k - 93*k. What is the greatest common factor of 840 and k? 28 Let b be -1 + 7 - (-27)/(-9) - -179. Let q = 215 + -202. What is the highest common factor of q and b? 13 Let n(f) = 949*f**2 - 7*f - 1. Let c be n(2). Suppose c = 10*z - 59. Calculate the greatest common divisor of 24 and z. 24 Suppose i - v = -2 + 7, -2*i - 2*v + 30 = 0. Let c be 8636/20 + 2/i. Suppose -8*a = -2*a - c. Calculate the greatest common factor of 8 and a. 8 Suppose 11 + 10 = -4*j + c, 5*j + 39 = -3*c. Let r be (4/(-5))/(j/2025). Let s be 21 + -5 + 13 - -1. Calculate the greatest common factor of s and r. 30 Let g be 5 - (-12)/6 - (1 - -1). Let y(a) = -a**3 + 5*a**2 + 3*a - 4. Let u be y(g). Let s = 47 - 25. Calculate the highest common factor of u and s. 11 Suppose 0 = 4*t + q - 81, t - 43*q + 45*q = 8. Suppose 4*v + 0*v = 20. Suppose v*z = 211 + 339. What is the greatest common divisor of t and z? 22 Let s = 32805 + -17040. What is the highest common factor of s and 30? 15 Let q = -5742 + 5753. Calculate the highest common divisor of 21131 and q. 11 Let w(g) = -g + 70. Let m be w(26). Let j = -23 + 25. Suppose -5*r = -2*t + 34, j*t - 4*r + 12 - m = 0. What is the highest common factor of t and 3? 3 Suppose 334*r - 332*r = 155 + 409. What is the highest common divisor of r and 7473? 141 Let i = -222 + 224. Suppose -3*y = -i*d + 10 + 24, y = -d + 12. Calculate the greatest common factor of d and 224. 14 Let h be (-2741)/(-3) + 2/(-3). What is the greatest common factor of h and 99? 11 Let w(z) = -13*z**2 + 1671*z + 29. Let g be w(126). What is the greatest common divisor of g and 106? 53 Suppose -3*c = -5*v + 87 - 29, -4*c - 2*v - 34 = 0. Let r = c - -9. Let t be (-10377)/(-99) - r*(-2)/(-22). Calculate the highest common divisor of t and 21. 21 Let g(y) = 3*y + 1. Let a be g(3). Let c = 467 - 607. Let n be (-1295)/c - (-6)/8. What is the highest common factor of a and n? 10 Let g = -2253 - -2528. Calculate the greatest common divisor of 561 and g. 11 Suppose 0 = m - 4*b + 32, 4*m - 14 = 6*m + 2*b. Let g be -6*30/54*m. Calculate the greatest common factor of g and 30. 10 Let y(h) = 23 - 3*h - 34 + 2*h. Let k be y(-19). Calculate the greatest common divisor of 2 and k. 2 Suppose 2*d = 4*h - h - 33, -5*h + 36 = 3*d. Let p(r) = 21*r**2 - 2*r - 2. Let c be p(-4). Let t = -333 + c. Calculate the greatest common divisor of h and t. 9 Let v = -326 - -326. Suppose -4*r - 3 + 51 = v. What is the highest common divisor of 132 and r? 12 Let f(w) = -69*w - 183. Let p be f(-3). What is the greatest common divisor of 696 and p? 24 Suppose -t = -z - 0*z - 13, -z = 1. Suppose 2 + t = 7*f. Suppose f + 5 = d. What is the highest common factor of 14 and d? 7 Let x(w) = w**2 + 9*w + 3. Let q be x(-8). Let k be (-10)/(-8) - (189/(-12) + 4). Let g = q + k. What is the highest common factor of 112 and g? 8 Let d = -144 - -144. Suppose -12*z + d*z = -108. Suppose 6*l = z*l - 12. What is the highest common divisor of l and 1? 1 Suppose 9 = -4*s - 11, s = -t + 1. Suppose 17698 = -19*u + 192*u - 43544. Calculate the greatest common factor of t and u. 6 Let b(x) = 3*x**2 - 2*x - 17. Let v be b(-6). Let i = v - 103. Suppose i = 4*w + f - 25, -5*w + 10*w - 41 = 2*f. What is the greatest common factor of 21 and w? 7 Let c(m) = -97*m + m**3 - 184*m**2 + 33 + 377*m**2 - 178*m**2. Let p be c(-19). Calculate the highest common factor of p and 54. 54 Suppose 53 = 2*p - 83. Suppose -4*o + p - 4 = 0. Let j(x) = 4*x**2 + x + 6. Let s be j(-6). Calculate the greatest common factor of s and o. 16 Suppose -5*n - 4*f = -7 + 57, -3*n = 4*f + 30. Let r be 266/(-5*4/n). Calculate the greatest common divisor of 76 and r. 19 Suppose -14*m = -18*m + 512. Let q(c) = 24*c + 280. Let x be q(-11). Calculate the greatest common factor of m and x. 16 Let s be ((-1)/10)/(7/(-70)) + 2531. What is the greatest common factor of s and 36? 12 Let o = 712 + -702. What is the highest common factor of o and 124? 2 Suppose -j - 5*x - 156 = 30, 0 = 5*j - 3*x + 986. Let h = j - -203. What is the greatest common divisor of h and 203? 7 Suppose 154 = -4*f - l + 33, 111 = -4*f + l. Let c be -1 + -11 - 8 - -7. Let k = c - f. Calculate the highest common divisor of k and 4. 4 Suppose 3*g + y + 156 = 734, 5*y = -4*g + 745. What is the highest common factor of 130 and g? 65 Let x = -3 + 1. Let k be ((-3)/x)/((-15)/(-80)). Suppose -u = -4*n + 13 + 19, 7*n - 5*u - 56 = 0. What is the highest common divisor of n and k? 8 Let t = -557 + 385. Let j be -5 + (-120)/(-25) + t/(-10). Suppose 2*p - 186 = -3*z + 67, 0 = -3*p - 3*z + 372. Calculate the highest common factor of p and j. 17 Suppose 0 = -5*x - 10, -4*x = 3*u - 3958 + 366. Calculate the highest common divisor of u and 13440. 240 Suppose -2 = -5*q + 3. Let g be (130/4)/(q/2). Suppose -3*w = n - 13, -10*n + 28 = 5*w + 23. What is the highest common factor of g and w? 5 Let x(o) = -256*o - 381. Let u be x(-12). Calculate the greatest common factor of u and 78. 39 Let b(g) = -g**3 - 10*g**2 + 21*g + 34. Let y be b(-10). Let o = -171 - y. Let n = 12 - 7. What is the highest common divisor of o and n? 5 Let z(n) = -3*n**3 + 61*n**2 - 67*n - 51. Let g be z(19). Let b(a) = 159*a + 1. Let w be b(1). What is the highest common factor of g and w? 40 Let m(t) = 7*t**3 - 6*t**2 + 4*t - 3. Let q be m(3). Calculate the highest common divisor of 1176 and q. 24 Let k = -4 - -9. Let n be (135/(-12))/(4*15/(-320)). Suppose u = k*f + 29 - 74, -2*u + n = 5*f. What is the highest common divisor of 40 and f? 10 Suppose -6*m + 7*m - 31*m + 16080 = 0. Calculate the highest common divisor of m and 938. 134 Let a = 700 + -1027. Let r = a + 360. What is the highest common divisor of r and 759? 33 Let g = -2991 - -2998. Let c be (-4)/(-2) + (-3 - -3). Suppose 2 + c = 4*f. Calculate the greatest common divisor of f and g. 1 Suppose -71 = -y + 7*d - 2*d, -y = 3*d - 111. Let o = -85 + y. Suppose -13*a = -o*a - 28. Calculate the highest common divisor of 21 and a. 7 Let y be (-20)/(-130) - (-14155)/13. Suppose 12*z + y = z. Let t = z - -106. Calculate the greatest common factor of t and 28. 7 Let v(r) = 22*r**2 + 72*r - 3. Let g(t) = -65*t**2 - 217*t + 10. Let u(j) = -4*g(j) - 11*v(j). Let b be u(-5). What is the highest common divisor of 77 and b? 7 Let a be 4 + (-4 - (-6 - -4)). Suppose j - a*j + 95 = 0. Suppose m - 34 = -2*i, -m + 6*m = 5*i + j. What is the greatest common factor of 16 and m? 8 Suppose 5*i = 5*w + 215, -2*w = 4*i - 160 + 30. Calculate the greatest common factor of 44 and i. 4 Suppose 2*k + 5*o = 136 - 14, -206 = -3*k + 4*o. Suppose -38 - 22 = 3*t. Let l be (k/(-4))/(5/t). What is the greatest common factor of l and 6? 6 Suppose 0 = 4*a - 134 - 146. Let d(s) = s**2 - 7*s + 1. Let u be d(9). Suppose -8*f + 61 = -u. Calculate the highest common factor of a and f. 10 Let k = -442 - -438. Let b be 3 - (k - (3 + (-720)/(-4))). Calculate the highest common divisor of 20 and b. 10 Let o(k) = -k**2 - 126*k - 711. Let r be o(-6). Let u = -4 - -26. Let p = u + -4. What is the highest common divisor of r and p? 9 Suppose -268 - 964 = -0*a - 14*a. Calculate the highest common factor of 957 and a. 11 Suppose m - 44 = 5*i, i - 4*m + 1 = -4. Let s
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
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0 What is the units digit of 782?
{ "pile_set_name": "DM Mathematics" }
22110 In base 6, what is 20342 - -4? 20350 In base 4, what is -2332021 + -32? -2332113 In base 10, what is 51440 + -6? 51434 In base 11, what is 630 + 269? 899 In base 16, what is b - -1301? 130c In base 13, what is 3 - -620aa? 620b0 In base 10, what is -783 - -369? -414 In base 3, what is 110100 + -12210101? -12100001 In base 6, what is 455241 + -3? 455234 In base 3, what is 120000 - 21000? 22000 In base 15, what is -2 + -13d11a? -13d11c In base 15, what is 4 + -b3988? -b3984 In base 12, what is 5 + -13a2? -1399 In base 4, what is -11 - -2201123120? 2201123103 In base 9, what is -70475 + 1? -70474 In base 6, what is -2 + 400? 354 In base 3, what is 102100002200 + 2? 102100002202 In base 3, what is -10012112222 + -11? -10012120010 In base 16, what is -332 + -f3? -425 In base 9, what is -63 + 14354? 14281 In base 10, what is 15 + 5933? 5948 In base 8, what is 2341546 - 5? 2341541 In base 10, what is -114730 + 0? -114730 In base 15, what is -12106 + -3? -12109 In base 13, what is 159 - -20a? 366 In base 2, what is -10011111111 + -1110011? -10101110010 In base 5, what is 4113 + -4303? -140 In base 11, what is -2 + 5214? 5212 In base 11, what is 19590 + 1? 19591 In base 5, what is -22 - 21213? -21240 In base 2, what is -10000000 - -1000001000010? 111111000010 In base 14, what is -117 - -80? -77 In base 13, what is 6635 + 3? 6638 In base 3, what is -10021121002 + -12? -10021121021 In base 8, what is -10213141 + 5? -10213134 In base 13, what is -69 - 111b? -1187 In base 9, what is -877 + 15? -862 In base 13, what is -133a82c - 5? -133a834 In base 9, what is -11 - -114580? 114568 In base 16, what is -e8ee5 - -5? -e8ee0 In base 6, what is 44130 - 4? 44122 In base 12, what is -133314 - -6? -13330a In base 3, what is 2020 + -110220? -101200 In base 3, what is 22012202 - 2000? 22010202 In base 6, what is -1 - -233034? 233033 In base 9, what is -76 + -26610? -26686 In base 12, what is 152 - -4761? 48b3 In base 16, what is -3 + 7e3c? 7e39 In base 9, what is -37 + -1768? -1816 In base 13, what is -1a3c3 + 4? -1a3bc In base 16, what is -11f - -e0? -3f In base 2, what is 10111 - 1010100111101? -1010100100110 In base 11, what is 5450 - 3? 5448 In base 9, what is -12328 - -4? -12324 In base 6, what is 1 + 144222? 144223 In base 7, what is 1363 + 3013? 4406 In base 10, what is -383977 + -3? -383980 In base 5, what is -2 - 1321123? -1321130 In base 9, what is -164 + -76? -251 In base 4, what is 2 - 11020003202? -11020003200 In base 9, what is 6220 - 206? 6013 In base 14, what is 2 + -32b? -329 In base 16, what is 22 - -ec7? ee9 In base 7, what is 0 + 41240? 41240 In base 13, what is 373c4 - 5? 373bc In base 12, what is 41a5 - -2? 41a7 In base 8, what is 5123 - 6? 5115 In base 14, what is -160a - 0? -160a In base 8, what is -1170 + 2554? 1364 In base 10, what is 0 + 4219? 4219 In base 11, what is 421 - 17? 405 In base 13, what is 88944 - -5? 88949 In base 16, what is -8 + -27a8? -27b0 In base 11, what is 1 + -a6956? -a6955 In base 16, what is 7a8c - -33? 7abf In base 4, what is -102 - 31231? -31333 In base 9, what is -10 + -11504? -11514 In base 7, what is -50 + 4531? 4451 In base 8, what is -2341 - -17? -2322 In base 4, what is 23 + 110? 133 In base 9, what is 134233 + -4? 134228 In base 10, what is 3 + 613925? 613928 In base 7, what is 521 - -16334? 20155 In base 13, what is 90 - -630? 6c0 In base 16, what is -4 - -792a? 7926 In base 10, what is -10935 - -3? -10932 In base 14, what is 5b52 - 25? 5b2b In base 2, what is 1101101 - -10000000000000? 10000001101101 In base 16, what is -16af4 + -4? -16af8 In base 6, what is 14 + -101552? -101534 In base 8, what is -3357163 - 6? -3357171 In base 15, what is -26 - 1019? -1040 In base 5, what is -2 + -20440314? -20440321 In base 9, what is 5834 - -11? 5845 In base 2, what is 10011010001111101110 - -101? 10011010001111110011 In base 10, what is -5 - -5751? 5746 In base 15, what is 2 + 37c58? 37c5a In base 8, what is -1 - 31235? -31236 In base 15, what is c4 + 3644? 3718 In base 14, what is -5 - 732? -737 In base 2, what is 0 + -1000010111100? -1000010111100 In base 7, what is 33030 - 0? 33030 In base 3, what is -10101 + 12211120? 12201012 In base 12, what is -127 + -a? -135 In base 9, what is 20552 - -10? 20562 In base 11, what is 15 + 1379? 1393 In base 13, what is 47a9 + 5a? 4836 In base 6, what is -134055 + 2? -134053 In base 5, what is 3341 - -2342? 11233 In base 4, what is 32201101 - 0? 32201101 In base 4, what is 2303030 - -11? 2303101 In base 16, what is 3437 - -4? 343b In base 4, what is -30221311 + 0? -30221311 In base 12, what is -3 - 859? -860 In base 9, what is -11 - 163888? -164010 In base 5, what is 21321 + 31? 21402 In base 4, what is -2003231222 + -3? -2003231231 In base 5, what is 10 + -1001402? -1001342 In base 12, what is a527 - -6? a531 In base 16, what is -7b + -b8? -133 In base 6, what is 2514 - -133? 3051 In base 10, what is 27 + 44505? 44532 In base 14, what is 3bbd + -91? 3b2c In base 11, what is -4 - -72391? 72388 In base 13, what is -4 - 5885? -5889 In base 15, what is 3 - -1ca27? 1ca2a In base 9, what is -201872 + -1? -201873 In base 15, what is 4 + -124605? -124601 In base 5, what is -111 + 412222? 412111 In base 16, what is -19b6 - 1? -19b7 In base 6, what is -103223 - 0? -103223 In base 15, what is -1a8 + 71e? 566 In base 9, what is 2465 + -13? 2452 In base 8, what is 27 - -147255? 147304 In base 13, what is 38457 - 42? 38415 In base 15, what is 3283 + 4? 3287 In base 5, what is -2034113124 - 2? -2034113131 In base 7, what is 45 - -46125? 46203 In base 16, what is -c021c - -2? -c021a In base 3, what is -20101022111 - 0? -20101022111 In base 14, what is -2 - -b517? b515 In base 4, what is -223233 + -2133? -232032 In base 6, what is -2500434 + -10? -2500444 In base 8, what is 2146 - -25? 2173 In base 6, what is 4411421 + -2? 4411415 In base 12, what is 1 + 133a29? 133a2a In base 14, what is b - -1531? 153c In base 2, what is 100010101 - -11100010011? 100000101000 In base 3, what is 21001220100 - 11? 21001220012 In base 15, what is 31 - 8c? -5b In base 15, what is 68 + -e? 59 In base 6, what is -355322 + -3? -355325 In base 2, what is 110110010 - -1100011? 1000010101 In base 16, what is 1dde5 - -45? 1de2a In base 6, what is -23053404 - -2? -23053402 In base 8, what is -273706 - 0? -273706 In base 2, what is -101 - -1001010011001? 1001010010100 In base 16, what is 4 + 159ab? 159af In base 3, what is 20211102 + 2? 20211111 In base 7, what is -3344425 - -15? -3344410 In base 15, what is -30e63 + 4? -30e5e In base 14, what is -469564 - 0? -469564 In base 3, what is 1 + -1100220001000? -1100220000222 In base 9, what is -1 + -562631? -562632 In base 12, what is -1 - 175127? -175128 In base 3, what is 2211220 - 21? 2211122 In base 4, what is -33 - -3231? 3132 In base 5, what is 3424 - -13223? 22202 In base 11, what is a03979 - 3? a03976 In base 12, what is -48 - 44? -90 In base 5, what is 10 + 21313442? 21314002 In base 9, what is -652275 - -5? -652270 In base 9, what is -33 + -74445? -74478 In base 7, what is -14662020 - -2? -14662015 In base 8, what is 252172 - 0? 252172 In base 13, what is -78 + 17? -61 In base 15, what is -132e4 - -2? -132e2 In base 9, what is 305 + -76? 218 In base 10, what is 477 - 58? 419 In base 9, what is 1 + -185885? -185884 In base 5, what is 14 - 224031? -224012 In base 9, what is -2 - -215654? 215652 In base 12, what is -12612 - -1b? -125b3 In base 3, what is 0 - -2020101? 2020101 In base 6, what is -502 + 5401? 4455 In base 16, what is 19c - 53? 149 In base 15, what is -18 - -201? 1d8 In base 2, what is 110 + -10010101011110000? -10010101011101010 In base 16, what is 41 + 1f4? 235 In base 6, what is -42105 + 1? -42104 In base 3, what is 22011111000010 - 10? 22011111000000 In base 3, what is -11 + 100020111? 100020100 In base 13, what is 30802 + 1? 30803 In base 2, what is 100100110 + -10010111010? -1110010100 In base 11, what is 134 + -62? 82 In base 6, what is 2 + 1532? 1534 In base 9, what is 47 - 616? -558 In base 4, what is -1030020 - 10220? -1100300 In base 6, what is 0 - -3155342? 3155342 In base 9, what is 1566621 + 5? 1566626 In base 10, what is -4 + 22497? 22493 In base 5, what is -343240 - 41? -343331 In base 10, what is -635173 + -1? -635174 In base 7, wh
{ "pile_set_name": "DM Mathematics" }
tiple of 12 and 10? 60 Find the common denominator of -37/258 and -41/24. 1032 What is the common denominator of -32/285 and 7/494? 7410 What is the smallest common multiple of 942 and 24? 3768 Calculate the common denominator of -71/1470 and -121/270. 13230 Calculate the least common multiple of 11 and 9. 99 Calculate the common denominator of -99/4 and 53/2709. 10836 Calculate the lowest common multiple of 336 and 148. 12432 Calculate the least common multiple of 2560 and 160. 2560 Calculate the lowest common multiple of 42 and 60. 420 What is the smallest common multiple of 515 and 35? 3605 What is the common denominator of 49/54 and 4/33? 594 What is the common denominator of -151/1188 and 69/10? 5940 What is the common denominator of -13/87 and 7/58? 174 Calculate the lowest common multiple of 2520 and 40. 2520 What is the least common multiple of 3340 and 334? 3340 Calculate the least common multiple of 2226 and 2544. 17808 Calculate the common denominator of -31/720 and -2/9. 720 What is the common denominator of -97/128 and 31/32? 128 What is the common denominator of 101/28 and 31/1546? 21644 Calculate the common denominator of -40/13851 and -44/513. 13851 Calculate the common denominator of -103/6948 and 83/8106. 48636 What is the lowest common multiple of 3808 and 896? 15232 What is the smallest common multiple of 396 and 2277? 9108 Calculate the lowest common multiple of 88 and 330. 1320 What is the common denominator of -73/356 and 61/112? 9968 What is the common denominator of 17/64 and 47/4064? 8128 What is the least common multiple of 552 and 12? 552 Calculate the lowest common multiple of 90 and 8154. 40770 What is the least common multiple of 760 and 152? 760 What is the least common multiple of 18 and 741? 4446 Calculate the lowest common multiple of 806 and 16. 6448 Calculate the common denominator of 14/129 and -44/339. 14577 Calculate the common denominator of -119/18 and 149/30966. 92898 Calculate the smallest common multiple of 20 and 512. 2560 What is the lowest common multiple of 408 and 816? 816 Calculate the least common multiple of 105 and 150. 1050 What is the common denominator of 47/6 and 4/23? 138 What is the common denominator of -41/80 and 47/4650? 37200 What is the common denominator of -1/21 and 23/351? 2457 Calculate the smallest common multiple of 1104 and 10. 5520 What is the least common multiple of 3 and 1563? 1563 What is the common denominator of 97/60 and -50/9? 180 Calculate the smallest common multiple of 3 and 7. 21 What is the common denominator of -1/915 and -4/549? 2745 Calculate the common denominator of 81/1660 and 41/15. 4980 Calculate the lowest common multiple of 600 and 2. 600 What is the smallest common multiple of 96 and 18? 288 Calculate the least common multiple of 418 and 231. 8778 Find the common denominator of 1/35 and -22/189. 945 What is the smallest common multiple of 340 and 130? 4420 Calculate the smallest common multiple of 2 and 58. 58 Calculate the least common multiple of 810 and 2700. 8100 Calculate the common denominator of -85/128 and -3/640. 640 What is the least common multiple of 1125 and 10? 2250 What is the common denominator of 97/90 and 79/2205? 4410 Find the common denominator of 3/34 and -81/374. 374 Calculate the common denominator of 41/180 and -17/6. 180 Calculate the smallest common multiple of 238 and 1071. 2142 Calculate the lowest common multiple of 496 and 96. 2976 What is the common denominator of -18/11 and 77/32? 352 What is the smallest common multiple of 1677 and 27? 15093 Calculate the common denominator of -16/167 and -51/131. 21877 Calculate the smallest common multiple of 1176 and 108. 10584 What is the common denominator of 31/72 and 143/552? 1656 Calculate the lowest common multiple of 14 and 360. 2520 Calculate the common denominator of -145/8256 and -49/4. 8256 What is the common denominator of -1/42 and 52/35? 210 What is the common denominator of -47/1941 and 14/15? 9705 What is the least common multiple of 432 and 2592? 2592 What is the common denominator of 25/6 and -83/21282? 21282 Find the common denominator of 43/138 and 11/54. 1242 Find the common denominator of 45/2 and -17/2. 2 Find the common denominator of -79/10 and -53/1928. 9640 What is the common denominator of 73/48 and 67/9834? 78672 Calculate the lowest common multiple of 33 and 21. 231 Find the common denominator of 111/980 and 109/196. 980 Find the common denominator of 63/1118 and 23/30. 16770 What is the smallest common multiple of 102 and 561? 1122 Calculate the least common multiple of 390 and 39. 390 Calculate the least common multiple of 39 and 14. 546 What is the common denominator of 89/5050 and 11/2525? 5050 Calculate the lowest common multiple of 117 and 143. 1287 What is the least common multiple of 20 and 10744? 53720 Calculate the common denominator of 127/84 and 13/30. 420 Calculate the lowest common multiple of 429 and 975. 10725 Calculate the least common multiple of 644 and 966. 1932 Find the common denominator of -25/114 and -149/12. 228 Find the common denominator of -67/340 and 59/204. 1020 Calculate the smallest common multiple of 2628 and 876. 2628 What is the common denominator of -11/78 and -77/8? 312 Calculate the common denominator of 31/8 and -71/148. 296 What is the common denominator of -125/4524 and -70/1131? 4524 Find the common denominator of 113/80 and 21/50. 400 Find the common denominator of -85/16 and -77/302. 2416 What is the common denominator of 143/108 and -97/132? 1188 Calculate the least common multiple of 64 and 11. 704 Calculate the common denominator of 15/8 and 61/1400. 1400 Calculate the lowest common multiple of 229 and 229. 229 Find the common denominator of -143/120 and -79/24. 120 Calculate the common denominator of -11/15 and -73/714. 3570 Calculate the common denominator of 59/246 and 89/6. 246 Calculate the smallest common multiple of 9667 and 35. 48335 What is the common denominator of 51/128 and -67/16? 128 What is the smallest common multiple of 45 and 4560? 13680 Find the common denominator of -103/528 and -71/1584. 1584 What is the common denominator of -1/4340 and -62/77? 47740 What is the least common multiple of 9 and 15258? 45774 Calculate the least common multiple of 4 and 4422. 8844 What is the least common multiple of 500 and 200? 1000 Calculate the least common multiple of 6 and 135. 270 Find the common denominator of 107/854 and 93/154. 9394 Calculate the common denominator of 13/3 and -49/27. 27 What is the common denominator of 47/4 and -67/26? 52 Find the common denominator of 53/60 and 19/18. 180 Find the common denominator of 79/176 and -111/44. 176 Calculate the lowest common multiple of 588 and 980. 2940 Calculate the lowest common multiple of 8 and 208. 208 Find the common denominator of -16/85 and 13/90. 1530 What is the smallest common multiple of 6 and 554? 1662 Calculate the common denominator of 71/555 and 101/1480. 4440 Find the common denominator of 143/6 and -61/34. 102 What is the common denominator of -7/38 and -17/32? 608 Find the common denominator of -87/22 and 17/140. 1540 Calculate the common denominator of 49/1903 and -27/1730. 19030 Calculate the least common multiple of 189 and 924. 8316 Calculate the least common multiple of 9042 and 10. 45210 Calculate the least common multiple of 22 and 7070. 77770 Calculate the common denominator of 143/288 and -65/88. 3168 Find the common denominator of -27/19 and 7/74. 1406 What is the smallest common multiple of 11 and 335? 3685 What is the common denominator of 32/873 and 4/9? 873 What is the least common multiple of 10 and 662? 3310 Find the common denominator of 47/26 and -21/1084. 14092 Calculate the lowest common multiple of 6549 and 407. 72039 What is the common denominator of -5/3216 and 19/1072? 3216 What is the smallest common multiple of 50 and 1000? 1000 Find the common denominator of -19/58 and 37/46. 1334 What is the common denominator of -23/5 and 77/90? 90 Calculate the common denominator of 32/287 and 81/82. 574 What is the common denominator of 59/9 and 103/20? 180 What is the lowest common multiple of 153 and 187? 1683 What is the common denominator of 41/75 and 57/110? 1650 What is the lowest common multiple of 2
{ "pile_set_name": "DM Mathematics" }
is the units digit of m? 3 Let g = 43 - 29. Let d = -12 + g. What is the units digit of d? 2 Suppose x + 3 = 1. Let g be -6*(x + 1)*-1. Let c = g - -11. What is the units digit of c? 5 Let d(m) = 14*m**3 - m**2 + 2*m - 1. Let o be d(1). Suppose -o = -4*z + 134. What is the units digit of z? 7 Suppose -18 = -g - 2*g. What is the units digit of g? 6 Let u be 1 + (8 - (0 - 2)). Let t = 34 - u. Suppose 5*p - 5*n - 25 = 0, n = -p - 2*p + t. What is the units digit of p? 7 Suppose -2*n = 3*n. Suppose -3*d + n*m + 58 = m, -2*d = -2*m - 44. What is the units digit of d? 0 Let q(c) = 0*c - 5 + c - 2 + c. What is the units digit of q(6)? 5 Let y be (-40)/(-16)*(-16)/(-10). Suppose j = 4*j. Suppose -f - p + 8 = j, 3*f - 2 = y*p - 6. What is the units digit of f? 4 Suppose 0 = 4*x + 41 + 7. Let h = x - -24. What is the units digit of h? 2 Suppose 23*a = 28*a - 15. What is the units digit of a? 3 Let m be 1 + -1*4 + -3. Let a be (0 + -11)/(3/m). Suppose -h = h - a. What is the units digit of h? 1 Suppose 13*j - 10*j = 303. What is the units digit of j? 1 Suppose 3*f = 4*f. Let s(l) = l - 16. Let q be s(7). What is the tens digit of 3/(q/(-33)) - f? 1 Let q(w) be the second derivative of -w**5/20 + 7*w**4/12 - w**3 - 3*w**2 - 2*w. What is the units digit of q(5)? 4 Suppose -5*j - 1 - 38 = 3*m, 4*j + 30 = -3*m. Let f = j + 13. What is the units digit of f? 4 Suppose -2*j + 4*a = -3 - 13, -3*a - 75 = -5*j. Suppose -k = k - j. Suppose -2*v - g - 1 + 10 = 0, 0 = 4*v + 5*g - k. What is the units digit of v? 6 Let w(y) = y**2 - 7*y + 1. Let m be w(8). Let h(l) = -l**3 + 10*l**2 - 10*l + 7. Let s be h(m). Let j(b) = b**2 - 3*b - 1. What is the units digit of j(s)? 9 Let c = 8 - 5. Suppose 0 = -w - 5*l - 21, l + c + 2 = -w. What is the units digit of (5/2)/(w/(-4))? 0 Suppose 0 = -5*h + 5*f + 5, -6 - 3 = -4*h - f. Suppose -2*n - 2*z = h*n - 24, 36 = 5*n + z. Suppose -5*k + n = -7. What is the units digit of k? 3 Let j(o) = -o**2 + 6*o - 2. Let b be j(4). Suppose -b*m = -7*m - 6. What is the units digit of (-4)/m*(11 - -1)? 8 Suppose -2*n - n = -3. What is the tens digit of (n/(-2))/(7/(-182))? 1 Suppose -3*f + 7 = 5*c + 1, -6 = -3*f - 4*c. Suppose -f - 18 = 5*d. What is the units digit of (6/(-8) - 1)*d? 7 Let n be (1/3)/((-7)/(-147)). Suppose 4*i - n*i = -81. What is the tens digit of i? 2 Let a be (5/2)/(2/(-12)). What is the tens digit of (-10)/a + 68/6? 1 Suppose -3*u = -7*u + 200. Suppose -2*z + u = 2*i, 0*z + 2*i = -z + 26. What is the tens digit of z? 2 Suppose 7*l + 5 = 2*l. What is the units digit of (-27)/(-3) - 1 - l? 9 Let t be -4*(2 + -3) + 1. Suppose 0*v + t*v - 20 = 0. Suppose 3*b = 3, 2*m - 5*b = v*m - 11. What is the units digit of m? 3 Let l(t) = -6*t + 41 + 18*t**2 + 3*t - 42. Let x(o) = 17*o**2 - 2*o - 1. Let f(s) = -4*l(s) + 5*x(s). What is the units digit of f(1)? 4 Let l(v) = 5*v. Let b be l(1). Suppose z = b*z - 12. Suppose -4*c = 2*r - 7 - 23, -z*r + 3*c + 18 = 0. What is the units digit of r? 9 Let c(y) be the third derivative of -y**6/60 - y**5/30 + 5*y**4/24 + y**3/3 - 4*y**2. What is the tens digit of c(-3)? 2 Suppose -5*t + 36 = -194. What is the units digit of t? 6 Suppose -3*w - 2*w = 5*m - 305, 0 = -w - 4*m + 58. What is the tens digit of w? 6 Let a(g) = -2*g**2 + 12*g - 9. Let r(d) = -d**2. Let j(u) = a(u) - r(u). What is the units digit of j(6)? 7 Let k(u) = -89*u - 1. What is the tens digit of k(-1)? 8 Let j(z) = z + 4. Let o be j(0). Suppose -o*p = -p. Suppose p*t - 3*t = -9. What is the units digit of t? 3 Let r(h) = -10*h**3 - 2*h**2 - 6*h - 10. What is the hundreds digit of r(-3)? 2 Let x(w) = -2*w**3 - 3*w**2 - 3*w - 3. Suppose -3*o - 2*z - 2 = 0, -5*z + 2*z = -6. Let b be (o/5)/((-4)/(-20)). What is the units digit of x(b)? 7 Let a(o) = o**2 + 4*o - 4. Let r be a(-5). Let d be ((-12)/(-10))/(3/10). Suppose -j + d = r. What is the units digit of j? 3 Let r(f) = -f**3 - 8*f**2 - f - 1. Let h(i) = 2*i**3 + 15*i**2 + i + 1. Let b(k) = 2*h(k) + 5*r(k). What is the units digit of b(-10)? 7 Suppose 5*b + 4*j - 121 - 163 = 0, -5*b - 3*j + 283 = 0. What is the units digit of b? 6 Suppose -11 = -5*b - 2*t, -4*t + 7 = -5*b - 0*t. What is the units digit of b? 1 Let b be (-2 - 0) + 5*1. What is the units digit of (6/8)/(b/12)? 3 Let g(r) be the second derivative of -r**4/12 - r**2/2 + r. Let d be g(-1). What is the units digit of (-17)/d - 6/4? 7 Let x = 2 - 1. What is the units digit of x? 1 Suppose -62 = 3*y - 4*l + 3*l, 4*y = 2*l - 84. What is the units digit of (-2)/5 + (-128)/y? 6 Suppose 20*r = 25*r - 210. What is the tens digit of r? 4 Suppose -1 = t + 6. Let n(u) = -3*u + 7. What is the units digit of n(t)? 8 Let g be (-28)/(-6)*(-72)/(-28). Let s = g + 8. What is the units digit of s? 0 Let k(b) = -3*b - 1. Let g be k(-6). Suppose 2*u - 8 = -4*r, r = 4*r - 4*u - g. What is the units digit of r? 3 Let q = 21 + 25. What is the tens digit of q? 4 Let v(d) = d**2 - d - 2. Let w be (-2)/(-1) + -1 + 2. Let x be v(w). Suppose x = 4*p - 8. What is the units digit of p? 3 Let a = 5 + -3. What is the units digit of a? 2 Let a(i) = -i + 8. Let z be a(-7). Let y be z*2*6/4. Suppose y = 5*j - 5*v, 3*v = 2*j - 10 - 8. What is the units digit of j? 9 Let w(d) = 3*d**2 - 14*d - 15. What is the units digit of w(9)? 2 Suppose 8 = -2*b - 4. Let p(f) = -f**3 - 6*f**2 + 7. What is the units digit of p(b)? 7 Suppose -s + 4*o = 5, 0 = 5*s - 3*s - 2*o - 2. Suppose x - s*x = 5*f - 51, 5*x = 2*f - 32. What is the tens digit of f? 1 Let s(f) = -f - 6. Suppose -3*o - 19 - 5 = 0. What is the units digit of s(o)? 2 What is the units digit of -1 - (-31*6)/3? 1 Suppose 0 = -2*x + 4*c + 26, 0*x + 29 = 2*x - c. Suppose 0 = 4*o - o - x. Suppose n - o = -2. What is the units digit of n? 3 Let q = 10 + -16. Let m be -2 + q/3 + 10. What is the units digit of 1 + 1*m - 2? 5 Suppose z - 3*z = 12. Let q(d) = -d**2 - 6*d + 6. Let t be q(z). Suppose 0 = 2*m + m - t. What is the units digit of m? 2 Let q(c) = -c**2 + 7*c + 4. Let a be q(7). Suppose -2*s = 2*l - 3*l - 8, -4*s - a*l - 8 = 0. What is the units digit of s? 2 Suppose 5*o + 25 = 0, -2*o - 22 = -y + 12. What is the units digit of y? 4 Let b(u) = -6*u - 15. What is the units digit of b(-7)? 7 Let g be (-1)/3 - 80/(-6). Let k be 0*(-2)/6 - 12/(-2). Let q = g - k. What is the units digit of q? 7 Let l(g) = -g**3 - 4*g**2 + 5*g + 3. What is the units digit of l(-5)? 3 Let l = 4 + 2. Let n = l + -2. Suppose 0 = -3*t + t - y + 10, -y + 16 = n*t. What is the units digit of t? 3 Let w be (-2)/5 + (-108)/(-20). Let t(r) = 19*r**2 + r. Let z be t(1). Suppose 0 = -w*q + z + 5. What is the units digit of q? 5 Let k be (0/1)/(2 - 1). Suppose k = -3*t + t. Let q = 4 + t. What is the units digit of q? 4 Suppose -5*d - 46 = -x + 56, -d + 408 = 4*x. What is the hundreds digit of x? 1 Let v(h) = h**2 - 4*h + 1. Let z be v(3). Let k = 15 + z. What is the tens digit of k? 1 What is the units digit of (-354)/(-3) - (-4 + 8)? 4 Let k = -31 - -16. Let o(b) = b**3 + 15*b**2 - b + 2. What is the units digit of o(k)? 7 What is the hundreds digit of (-41382)/(-234) - (-2)/13? 1 Suppose -4*m - 2 = -2*t - 0*m, 0 = -3*t - 3*m + 21. Let d(p) = -p**3 + 6*p**2 + p - 6. Let q be d(t). What is the units digit of (-6)/(-10) + q/10? 3 Suppose -3*q - 3*b - 9 = 0, 3*b = 3*q - 13 + 4. Let t be (2/2 - q) + 1. Suppose t*z = -0 + 24. What is the units digit of z? 2 Let d(q) = q**2 - q. Let z be d(1). Suppose -80 = -2*t - 3*s, s = -z*t - 4*t + 150. What is the tens digit of t? 3 Let q(m) = 6*m**2 - 6*m + 3. What is the units digit of q(4)? 5 What is the tens digit of 33 - (3/(-3) + 2)? 3 Let w = -4 + 6. Let y(v) = v + 1. What is the units digit of y(w)? 3 Let w(t) = -t**2 + t + 3. Let f be w(5). Let v = -6 - f. What is the tens digit of v? 1 Let i(n) be the first derivative of n**4/4 + 2*n**3 + 2*n - 3. Let q be i(-6). Suppose -q*z = 3*z - 55. What is the tens digit of z? 1 Let g be (-2)/5 + (-17)/(-5). Suppose g*q = -5*k, 0*q - 5*k + 25 = -2*q. What is the units digit of (32/20)/((-1)/q)? 8 What is the tens digit of ((-40)/6 - -1)*-3? 1 Let t be (50/(-40))/((-2)/8). Suppose -2*q + 4*p + 46 = -0*q, 20 = t*p. Let z = q + -16. What is the tens digit of z? 1 Let o(r) = r**3 + 2*r**2 + 1. Let d be o(-2). Suppose -7 - d = -2*z. What is the units digit o
{ "pile_set_name": "DM Mathematics" }
Let o = 2 - 1.6. What is the third smallest value in o, q, h? o Let t = -113.9 - -114. Which is the third biggest value? (a) 0 (b) t (c) -4 (d) -3/5 d Let t = 31 - 95/3. Let c = -2.1 + 0.1. What is the third biggest value in 3/5, c, t? c Let h = 9 - 12. Let n = 4.4 + -0.4. What is the second biggest value in 2, h, n? 2 Let h(w) = 9*w**3 + w**2 + w + 9. Let m(r) = 5*r**3 + r**2 + r + 5. Let c(k) = 6*h(k) - 11*m(k). Let d be c(-4). What is the third biggest value in d, -3/4, 2? -3/4 Let n = 1.6 - 1.5. Which is the second biggest value? (a) n (b) 1.1 (c) -0.3 a Let l be 18/8*3/(-9). What is the smallest value in 4, -0.3, l? l Let j = 0.13 + -3.13. Which is the third biggest value? (a) j (b) -2 (c) 2/5 a Let r = 21 - 18. Let y = -98/3 + 34. Which is the smallest value? (a) y (b) -0.4 (c) r b Let f = -0.06 + 2.06. Let d = f - 6. Let l = -0.2 - 0. What is the second biggest value in l, d, 0? l Let t = 6 - 4. Let q be (-2)/7 + 2 - t. What is the second biggest value in q, -5, 4/3? q Let j = -5 + 9. Suppose 0*z - 3*z = 0. What is the third biggest value in 0.4, z, j? z Let z = 0.33 + -0.63. Which is the third biggest value? (a) 5 (b) -0.02 (c) z (d) -0.5 c Let l = -0.1 - -2.1. What is the second biggest value in -0.2, -2, l? -0.2 Let p = 260.25 + -2.25. Let u = 252.92 - p. Let r = 0.08 + u. What is the third biggest value in 1/7, r, 0.3? r Let d = -14.9 + 14.5. Suppose 4*j + 0*j = 4. Which is the smallest value? (a) 3/5 (b) j (c) d c Let s = 1 - 0.9. Let w = s - -0.9. Let a = 1.1 + -1. What is the third smallest value in a, 2, w? 2 Let o = 37 - 31.94. Let p = -0.06 + o. Let f = p + -5.3. What is the smallest value in -0.1, f, 1/2? f Let h be 12/(-8) + 18/4. What is the third biggest value in h, 2/9, -4? -4 Let j = 5.8 - 0.8. Let x = -4.1 + 4. What is the biggest value in j, x, 0.2? j Let b = 41 - 36. Let j = -4.3 - -4. What is the third biggest value in 0, b, j? j Let k be (2/(-3))/(-2 - -3). Let l = -19.5 + 19. What is the third biggest value in k, -0.3, l? k Suppose 12 = 4*i - 4. Which is the third biggest value? (a) i (b) -1/4 (c) 2 b Let p = 0.03 - -3.97. Suppose 2*g + 0 - 4 = 0. Let i = -1 + g. Which is the smallest value? (a) -1 (b) i (c) p a Let x be 9/(-18) + 3/4. What is the third smallest value in x, 2/9, 1/2? 1/2 Suppose 0 = 5*h - h + 4. Which is the third smallest value? (a) h (b) 7 (c) 3 b Let y be (-2)/8*(-2)/(-30)*5. Which is the smallest value? (a) 2/7 (b) 2/5 (c) y (d) 1/8 c Suppose -3*q - 4 = -2*k, -4*q = -2*k + 5 - 1. Let n be k/(-8)*16/28. Let y = 2.1 - 0.1. Which is the third smallest value? (a) n (b) 0.5 (c) y c Let m = 61 - 58. Which is the biggest value? (a) m (b) -0.1 (c) -4 (d) -1/2 a Suppose 2*v = -3*v + 4*i - 64, -5*v + 2*i - 62 = 0. Let g be (v/140)/((-2)/10). Which is the second biggest value? (a) 4 (b) 3/5 (c) g b Let i = -4.28 + 1.32. Let g = -0.04 + i. What is the biggest value in 4, 3, g? 4 Let o be (-9)/6*(-6)/18. What is the second biggest value in o, -0.1, 5? o Let p = -5 - -10. What is the biggest value in -3/4, 4, p? p Let b be 14/6 - 16/(-24). Let t be -2 + (b - 16/12). What is the third smallest value in -1, t, 0.5? 0.5 Let s = 2 + 2. Let y(q) = -108*q. Let j be y(-1). Let v be (3 + 0)*(-8)/j. Which is the second smallest value? (a) v (b) -3/2 (c) s a Let h(u) = 3*u - 6. Let c be h(4). Let z(x) = x**3 - 5*x**2 - 5*x - 8. Let a be z(c). Let m be (-52)/16 - a/8. What is the third smallest value in m, 3, -5? 3 Let v = 0.07 - 0.07. Suppose 0 = -2*w + 6*w + 4. Let m be w/3*(-5 + 8). What is the second smallest value in m, v, -4? m Let i = -1/104 - -365/104. What is the third smallest value in 2, -0.2, i? i Let n be (-9)/(1/(-4)*6). Suppose -n*w = -4*w. Which is the third biggest value? (a) w (b) -2/3 (c) 4 b Let y = 38.5 - 38. Let h be (-5)/(-7)*(-3)/(-5). Let t = 5.13 + -0.13. What is the biggest value in t, y, h? t Let o be (2/(-4))/(90/(-60)). Which is the biggest value? (a) -1/9 (b) o (c) -5 (d) 1/6 b Let f = 15 + -21. Let d = 6 + f. Which is the second smallest value? (a) d (b) 1/7 (c) 5 b Suppose -6*m + 1 + 11 = 0. What is the third smallest value in 2/11, -4/3, m? m Let q = -1402/9 - -156. Let u = 12 - 7. Which is the smallest value? (a) -2 (b) q (c) u a Let m = 1.3 - 1.9. Let f = 1 + m. What is the third smallest value in f, 5, 0.2? 5 Let d be 56/(-5)*25/6. Let x = -46 - d. Let k = 355/6 + -59. What is the third smallest value in x, k, 2? 2 Let z = 16 + -49. Let x = 32.54 + z. Let h = -0.06 - x. Which is the third biggest value? (a) h (b) 1 (c) 2 a Let b = -0.1 + 0.6. Let w = b + 1.5. What is the second biggest value in w, 1, 5/4? 5/4 Let j = 3.06 + -0.06. Suppose b = -b - 4*h - 20, -3*b = -2*h - 2. Let s = -2.93 - 0.07. What is the second biggest value in b, s, j? b Let t = 3.5 - 3.3. Let u = -0.2 + 0.2. Which is the second biggest value? (a) -2 (b) u (c) t b Let y = -8 - -6. Let f = 1 - y. Let p = 389/4 - 98. What is the third smallest value in -4, p, f? f Let l = -38 - -34. Which is the smallest value? (a) l (b) -0.3 (c) 5/6 a Let f be (-8)/5*2/(-8). Let a = -0.13 + 6.13. Let q = a + -5. What is the smallest value in q, f, -3? -3 Let o = 0.01 - -3.99. Let r = 0.17 + 1.23. Let h = -1.2 + r. What is the third smallest value in -5, h, o? o Let r = -0.015 + 2.715. Let v = -3 + r. Let z be -1*-4*(-3)/(-102). Which is the second biggest value? (a) v (b) z (c) 0.3 b Suppose -8 = -0*g - 2*g - 2*n, 0 = -4*g + 2*n + 10. Suppose -g*l + 1 = 4. Which is the second smallest value? (a) -3 (b) -2 (c) l b Let u = -5 - -4.6. Let j be (0 + (-2 - -1))*6. What is the biggest value in j, 2/11, u? 2/11 Let z = -2.7 + -0.3. Let t = z + -2. Let u = t - -5.3. What is the smallest value in u, 0, 2/13? 0 Let h be (-6)/9 + 24/63. Which is the third biggest value? (a) -4 (b) -1 (c) h (d) -1/6 b Suppose y + 2*k = -0*y + 9, 3*y = -k + 7. Let i(s) = s - 2. Let m be i(4). Which is the third biggest value? (a) 5/4 (b) y (c) m b Let n = 1 + -1. Let t = 3.7 - 0.7. Let c = n + t. What is the third smallest value in 2, c, 2/9? c Let g = -8 - -6. Let x = 0.06 - 0.46. Suppose 2*m - 2 = 2*r, 5*r + 11 = m + 2*m. Which is the second smallest value? (a) x (b) r (c) g c Let x = 11 + -6. Let k = x + -5.2. Which is the smallest value? (a) 2 (b) -5 (c) k b Let g = -9.3 + -13.1. Let m = 23 + g. What is the third smallest value in -0.1, m, -4? m Let h be ((-11)/(-3) - 3)*3/(-4). What is the third biggest value in -3/2, 1/4, -5, h? -3/2 Let m = 1/65 + 61/260. Let k = 15 - 34. Let r = k + 23. What is the third biggest value in r, -2, m? -2 Let q be (-2)/4*-10 + -1. Suppose q*s + 5 - 1 = 0. Which is the third smallest value? (a) s (b) -6 (c) 4 c Let g = 561 + -15149/27. What is the third smallest value in -5, g, -0.4? g Let a = 1.32 - 0.22. Let k = 0.1 - a. What is the second smallest value in k, 2/5, -4? k Let k = 0.7 + 0.3. Let u = -0.065 + -0.035. Let l = -2 - -2.1. Which is the third biggest value? (a) l (b) k (c) u c Let d = 7.4 + -10.4. Which is the second biggest value? (a) 1/6 (b) -2/9 (c) d b Let b = -0.2 - -0.15. Let u = 0.055 + 0.045. What is the third biggest value in b, u, -5? -5 Let o = -4 - -4.2. Let y = 0.1 - o. Let x = 1.1 + y. What is the third biggest value in -1/4, x, 0.5? -1/4 Let p = 0.8 - 1. Let k = 0.06 + -0.16. What is the biggest value in k, 5, p? 5 Let f = -0.7 + -0.5. Let w = f - -0.2. Suppose -11*n = 2*n + 39. Which is the smallest value? (a) w (b) n (c) 0.1 b Suppose a + 2*i = -a + 3234, -5*i + 4861 = 3*a. Let g be 3 + 3 + a/90. Let d = g - 214/9. What is the second smallest value in -4/9, d, 4? d Let j = 24 + -24.22. Let t = j - 0.08. What is the second smallest value in t, -0.4, -4? -0.4 Suppose -m = -4*m + 510. Let i = -1528/9 + m. Let p = 8.3 - 8. What is the smallest value in 4, p, i? i Let g = -0.5 + 0. Let i(v) = -v + 1. Let n be i(-7). Let p be (-4)/(-10) + n/5. Which is the third smallest value? (a) 3 (b) p (c) g a Suppose 4*k + 0*k = -432. Let d be 2 - (k/(-15))/3. Which is the third smallest value? (a) 0.1 (b) d (c) -0.1 a Let o(k) = k**2 + 8*k + 8. Let r be o(-10). Suppose r = 2*q + 2*q. Let v be q/(-5) + (-12)/(-30). Which is the third biggest value? (a) -4 (b) 2 (c) v a Let t = 128 - 127. What is the th
{ "pile_set_name": "DM Mathematics" }
5. 1 What is the remainder when 1077145 is divided by 5951? 14 What is the remainder when 3202932 is divided by 6? 0 Calculate the remainder when 7480724 is divided by 935086. 36 What is the remainder when 1470554 is divided by 822? 818 Calculate the remainder when 21601069 is divided by 21601011. 58 What is the remainder when 36680 is divided by 18237? 206 What is the remainder when 68981894 is divided by 470? 464 What is the remainder when 336504 is divided by 30591? 3 Calculate the remainder when 79771778 is divided by 12. 2 Calculate the remainder when 32469409 is divided by 1411713. 10 Calculate the remainder when 21147134 is divided by 56. 22 What is the remainder when 332911447 is divided by 8? 7 What is the remainder when 7755291 is divided by 1871? 1867 Calculate the remainder when 25732 is divided by 2563. 102 What is the remainder when 23399039 is divided by 1680? 1679 What is the remainder when 712527 is divided by 142409? 482 Calculate the remainder when 53072 is divided by 7563. 131 What is the remainder when 22008 is divided by 10574? 860 What is the remainder when 2122268 is divided by 177? 38 Calculate the remainder when 6766902 is divided by 2255623. 33 Calculate the remainder when 33958142 is divided by 1101. 1100 Calculate the remainder when 117345 is divided by 58500. 345 What is the remainder when 148198 is divided by 73855? 488 Calculate the remainder when 4833590 is divided by 321. 293 What is the remainder when 58469 is divided by 397? 110 What is the remainder when 965577 is divided by 678? 105 What is the remainder when 3273490 is divided by 818372? 2 What is the remainder when 194407 is divided by 200? 7 Calculate the remainder when 16170 is divided by 2009. 98 Calculate the remainder when 147850 is divided by 29550. 100 Calculate the remainder when 78177558 is divided by 13. 4 What is the remainder when 8476472 is divided by 170? 102 Calculate the remainder when 4415842 is divided by 169839. 28 Calculate the remainder when 161197599 is divided by 76. 3 What is the remainder when 12670851 is divided by 46? 13 What is the remainder when 850430 is divided by 262? 240 Calculate the remainder when 2506157 is divided by 29835. 17 Calculate the remainder when 6279 is divided by 220. 119 Calculate the remainder when 9911411 is divided by 36. 35 What is the remainder when 1117982 is divided by 1117936? 46 What is the remainder when 144018 is divided by 51? 45 Calculate the remainder when 155472 is divided by 51820. 12 Calculate the remainder when 40394717 is divided by 175. 167 Calculate the remainder when 3068518 is divided by 273. 271 What is the remainder when 2950836 is divided by 151? 145 What is the remainder when 594471 is divided by 1234? 917 Calculate the remainder when 67507 is divided by 63770. 3737 Calculate the remainder when 5543358 is divided by 945. 933 Calculate the remainder when 67384561 is divided by 4454. 4449 Calculate the remainder when 216703 is divided by 8334. 19 What is the remainder when 295401 is divided by 1860? 1521 Calculate the remainder when 120690 is divided by 1896. 1242 Calculate the remainder when 10232924 is divided by 41. 21 What is the remainder when 425985 is divided by 9259? 71 Calculate the remainder when 5607677 is divided by 1401919. 1 Calculate the remainder when 13324 is divided by 5232. 2860 Calculate the remainder when 163864 is divided by 773. 761 What is the remainder when 53225 is divided by 51522? 1703 What is the remainder when 648806 is divided by 90? 86 Calculate the remainder when 603731 is divided by 579. 413 Calculate the remainder when 394604 is divided by 128046. 10466 What is the remainder when 1803241 is divided by 853? 852 Calculate the remainder when 81245 is divided by 11604. 17 What is the remainder when 64867 is divided by 164? 87 Calculate the remainder when 31218352 is divided by 27725. 2 Calculate the remainder when 38925 is divided by 242. 205 Calculate the remainder when 299804 is divided by 1153. 24 What is the remainder when 1585914 is divided by 121993? 5 What is the remainder when 335429 is divided by 1398? 1307 Calculate the remainder when 9577042 is divided by 525. 517 What is the remainder when 37273 is divided by 6931? 2618 Calculate the remainder when 196567169 is divided by 2409. 2405 What is the remainder when 79667 is divided by 76031? 3636 Calculate the remainder when 1779449 is divided by 593078. 215 What is the remainder when 1380211 is divided by 153348? 79 Calculate the remainder when 1516813 is divided by 303362. 3 What is the remainder when 1400510 is divided by 8? 6 Calculate the remainder when 207489976 is divided by 192. 184 What is the remainder when 18469079 is divided by 6156135? 674 Calculate the remainder when 50702 is divided by 3110. 942 Calculate the remainder when 43533162 is divided by 220. 2 What is the remainder when 96564 is divided by 18070? 6214 Calculate the remainder when 11370 is divided by 2088. 930 Calculate the remainder when 2058 is divided by 1386. 672 What is the remainder when 351208517 is divided by 40? 37 Calculate the remainder when 568431 is divided by 23684. 15 Calculate the remainder when 1938319 is divided by 1123. 21 What is the remainder when 3011893 is divided by 1214? 1173 Calculate the remainder when 17474716 is divided by 4533. 1 Calculate the remainder when 20382 is divided by 2709. 1419 What is the remainder when 9866562 is divided by 10027? 10021 Calculate the remainder when 3086543 is divided by 32. 15 Calculate the remainder when 397661 is divided by 66276. 5 Calculate the remainder when 1751 is divided by 1441. 310 What is the remainder when 70809 is divided by 71? 22 Calculate the remainder when 125703 is divided by 5708. 127 What is the remainder when 263498 is divided by 43760? 938 What is the remainder when 7670656 is divided by 426147? 10 Calculate the remainder when 78820 is divided by 343. 273 What is the remainder when 29363258 is divided by 62? 58 Calculate the remainder when 4951230 is divided by 4623. 4620 What is the remainder when 543748 is divided by 54? 22 What is the remainder when 452167 is divided by 452019? 148 What is the remainder when 203843679 is divided by 5072? 5071 What is the remainder when 1664792 is divided by 3635? 3597 What is the remainder when 394181 is divided by 876? 857 What is the remainder when 185670 is divided by 30394? 3306 Calculate the remainder when 401849 is divided by 30. 29 Calculate the remainder when 6071082 is divided by 333. 159 Calculate the remainder when 24473 is divided by 4040. 233 What is the remainder when 626888 is divided by 313387? 114 Calculate the remainder when 7320860 is divided by 10. 0 Calculate the remainder when 3796260 is divided by 401. 394 Calculate the remainder when 97300 is divided by 32408. 76 Calculate the remainder when 1427169 is divided by 475675. 144 What is the remainder when 6615881 is divided by 14? 13 Calculate the remainder when 447409 is divided by 11490. 10789 Calculate the remainder when 3269139 is divided by 3569. 3504 Calculate the remainder when 3000381 is divided by 3686. 3663 What is the remainder when 1053786 is divided by 2911? 4 Calculate the remainder when 1306273 is divided by 236. 13 What is the remainder when 52023301 is divided by 49? 1 Calculate the remainder when 823704 is divided by 25740. 24 Calculate the remainder when 248056 is divided by 5766. 118 What is the remainder when 17866380 is divided by 140? 0 Calculate the remainder when 1551298 is divided by 265. 253 What is the remainder when 4241956 is divided by 3065? 3061 What is the remainder when 109596716 is divided by 50? 16 Calculate the remainder when 1226130 is divided by 31. 18 What is the remainder when 336581 is divided by 31? 14 Calculate the remainder when 54191500 is divided by 13. 12 Calculate the remainder when 797759 is divided by 1494. 1457 What is the remainder when 32030729 is divided by 19? 16 Calculate the remainder when 1827790 is divided by 581. 545 What is the remainder when 8029898 is divided by 2676631? 5 Calculate the remainder when 1294841 is divided by 4204. 9 What is the remainder when 68415107 is divided by 8? 3 Calculate the remainder when 128163 is divided by 853. 213 What is the remainder whe
{ "pile_set_name": "DM Mathematics" }
j. Solve b - 20 = -s*b for b. 5 Let r(g) = -g**2 + 5*g - 4. Let k be r(1). Suppose 6*h - 8 + 8 = k. Suppose 4*f = 6 - 2. Solve 2*i - f + 5 = h for i. -2 Suppose 0 = -3*n - 26 + 35. Solve -n*p - 3*p = 0 for p. 0 Let t(b) = b**3 + 12*b**2 + 12*b + 13. Let f be t(-11). Suppose 2*m + f*m = 8. Suppose 4*g = 2*g + m. Solve -3 = l + g for l. -4 Suppose 7*w = 26 + 2. Suppose 4*x = -m + 2*m + 15, 0 = 5*m - 25. Solve w*o - 2 = x*o for o. -2 Suppose 6*o + 10 = 3*i + 5*o, -2*i = 4*o - 16. Solve -i*b = 7 + 9 for b. -4 Let u(x) = 121*x**2 - x. Let b be u(1). Suppose 8*j - b = 4*j. Let i = j + -27. Solve i*v + v = -4 for v. -1 Suppose 6*q + 22*q = 168. Solve q*k + 10 = 8*k for k. 5 Let g be (24/5)/(448/840). Solve 8 = -g*j - 19 for j. -3 Let g = -22 + -2. Let n = -22 - g. Solve n*k = -k for k. 0 Let d = -155 + 281. Suppose -d = -13*k - k. Solve k = 3*j - 0 for j. 3 Suppose 0 = 5*x - 2*j - 192, 4*j - 110 = -3*x - 0*x. Let i = x + -34. Suppose -i*d - 4 = -5*d. Solve d*a = a for a. 0 Let q be 10/(-75) - 184/(-30). Let l be ((-4)/q)/(6/(-135)). Suppose -l = -y - 13. Solve y*i = -i + 3 for i. 1 Suppose 22*o - 17*o = -30. Let f = o - -11. Solve 4*h = -h + f for h. 1 Suppose -2*n + 7*n + g + 11 = 0, 5*g - 35 = 5*n. Let k be (2 + 16/(-6))*n. Solve -s = -k*s for s. 0 Let d = 66 + -16. Let k = 53 - d. Solve 3*g = 6*g + k for g. -1 Suppose s = -4*l + 17, 3*s = -9 - 0. Solve 0 = -3*f + l + 7 for f. 4 Let x(p) = 55*p**3 + p**2 - 2*p + 1. Let c be x(1). Suppose -3*s = 5*h - 8*h - 15, 4*h + c = -3*s. Let i = -6 - h. Solve -i = -q - q for q. 2 Suppose 0 = -2*u + 4*x + 12, 3*u - x = -4*x + 63. Suppose 0 = -u*d + 18*d - 4. Solve -2 = d*j - 0*j for j. -1 Let s be ((-833)/(-28) - 3/(-12)) + 3. Let i be s/3 - 5 - (0 + 2). Solve -j + 0*j - i = 0 for j. -4 Let g(m) = -4*m - 29. Let c be g(-6). Let s be ((10/3)/c)/(4/(-6)). Solve -2*i = -3 - s for i. 2 Let o = 102 - 44. Let p = o + -51. Solve -p*d + 3 = -4*d for d. 1 Let f be (-84)/(-35) - (-4)/(-10). Let r be -1 + f - (-8 + 1). Suppose -4*h = 5*c + 16, 5*c + r = h - 3*h. Solve -g + 0*g + 1 = c for g. 1 Suppose -s + 3*n = 7*n + 26, 5*s = n - 25. Let d = s + 11. Suppose 5 = d*o - 5. Solve o = 2*a - 2 for a. 2 Let x be (14/(-8))/(1/8). Let o be (-2)/8*x*2. Suppose -1 - o = -2*l. Solve 10 + 2 = -l*m for m. -3 Let m(h) = -h**2 - 3*h + 12. Let o be m(-5). Suppose -4*p + 17 = 4*u - 11, p + 5 = o*u. Let c be (-112)/(-42) - (-1)/p. Solve 0 = -c*l + 5 + 1 for l. 2 Suppose -15*b + 479 = -1. Solve b*m - 8 = 34*m for m. -4 Suppose -2*z + 4*z - 84 = 0. Let s = z - 36. Solve s + 6 = 4*j for j. 3 Let v be 2 + (-226)/(-5) + 64/80. Solve 0 = -v*m + 53*m - 5 for m. 1 Suppose 3*b - f - 17 = -0*b, 2*b = 4*f + 8. Solve -3*q + 3 = b for q. -1 Let y be 20/15*(-6)/(-4). Let g be 18/5 - (-171)/(-285). Let b(j) = j + 7. Let l be b(-4). Solve l = -g*q + y*q for q. -3 Let t be ((-165)/(-220))/((-1)/(-4)). Solve n = -4 + t for n. -1 Let l(k) = k**3 + 7*k**2 + 10*k + 7. Let o be l(-5). Solve -3*h - 16 = -o for h. -3 Let n = 104 - 101. Solve n*s + 4 = s for s. -2 Let u(x) = 2*x**2 - 17*x + 12. Suppose -2*z - 3*r + 10 = 0, 2*z - 4*r - 11 - 13 = 0. Let h be u(z). Solve 0 = h*o + 4 for o. -1 Let g be 0/(-1 + 1 + (-10 - -12)). Solve g = 11*n - 9 - 13 for n. 2 Let s be 2/(-4) + 663/34. Suppose -s = -4*p + 1. Suppose k - p*k + 60 = 0. Solve 2*c + 3*c = k for c. 3 Let s be (-21)/14*(-16)/(-3). Let b = s + 14. Solve -f = -b*f for f. 0 Let x(o) be the third derivative of -6*o**2 + 0 + 1/2*o**3 + 0*o + 1/6*o**4. Let i be x(3). Solve 6*c - i = c for c. 3 Suppose -5*j + 4*r = -38 + 6, -2*r = 2*j - 2. Let t(y) = 3*y - 42. Let c be t(16). Suppose 5*x - 2 = 4*z - 0, 0 = 3*x - c. Solve z*m - 6 = j*m for m. -3 Let o(j) = j**2 - 12*j + 16. Let w be o(11). Suppose -w*p + 11*p - 72 = 0. Solve 5*a - p + 2 = 0 for a. 2 Suppose 58*b + 640 = 1858. Solve -b = -2*t - 11 for t. 5 Let t(n) = n - 2*n**3 - 9 + 6 + n**3 + 2 + 5*n**2. Let s = -5 - -10. Let w be t(s). Solve 0*q + 8 = w*q for q. 2 Suppose -11 = -2*k + 19. Let v be 11 + 24/8 + -10. Solve -v*i + 3 - k = 0 for i. -3 Suppose 4*n = -2*v + 76, 33*v - 36*v + 2*n = -74. Solve 3 = -5*z + v for z. 5 Let m = 631 + -581. Solve 4*b - m = -46 for b. 1 Let c be (477/(-4) + 8/32)*1. Let v = 119 + c. Solve a + 4*a + 25 = v for a. -5 Suppose -4 = -2*c + c. Suppose -4*n + 2*r = 2, -2*n - 3*r + 337 = 326. Suppose -n = -3*o - 4*v - 3, -c*o + 10 = -v. Solve p + o*p = 6 for p. 2 Suppose -480 = -26*m - 14*m. Solve -m = -4*w - 28 for w. -4 Let k(j) be the third derivative of 6*j**2 + 1/24*j**4 + 0*j + 0 + 3/2*j**3. Let a be k(-7). Solve -a + 0 = -2*f for f. 1 Let p be (3*-9)/((-705)/2350). Solve -k + p = 87 for k. 3 Suppose 8*l - 153 = -113. Let u(w) = w + 4. Let v be u(-4). Solve -5 = -v*r - l*r for r. 1 Suppose 14 = d + 5*r, 0*d + 2*r = 2*d - 4. Suppose d*c + 2*b - 20 = 0, 0*b + 16 = 4*c + b. Solve 2*f = 3*f - c for f. 3 Suppose 6*m + 5*m = 44. Solve 4 = m*l - 0*l for l. 1 Let p be 196/(-3) - 1/(-3). Let f = 69 + p. Solve l - f = -l for l. 2 Suppose 18 = 3*j - h, -2*j + 2*h + 24 = 2*j. Solve m = j*m for m. 0 Suppose -5*z + 17 + 0 = 4*h, 0 = -z + 3*h + 11. Suppose 0*c - 19 = -4*y + c, -z*c = -5*y + 35. Solve 0*r - r = y for r. -4 Suppose 6*l + 60 = -0*l. Let q be (-6)/(-4) + (-45)/l. Let r(m) = -m**3 + 8*m**2 - 7*m + 3. Let i be r(7). Solve 0*w + i*w + q = 0 for w. -2 Suppose u = 3*u - 4. Suppose 5*b - o - 35 = 0, -5*b = -6*o + 3*o - 45. Let z(a) = 44*a - 264. Let h be z(6). Solve u*i + h*i + b = 0 for i. -3 Let k = 0 - -8. Let d = -72 + 75. Solve r + d*r = -k for r. -2 Let n(v) = v**3 + 4*v**2 + 4*v + 3. Let m be n(-3). Suppose 0 = y - m*y - 2. Solve -y*l = l for l. 0 Let h be (6/(-4))/((-6)/(-112)). Let a be 2/4 - (3 - h/(-8)). Solve 3 + a = -q for q. -4 Suppose w - 5*y + 4 - 6 = 0, -3*y = -2*w + 4. Solve 7*x - w*x = 4*x for x. 0 Let j(s) = s**3 + 27*s**2 + 24*s - 32. Let z be j(-26). Solve 0 = -6*g + 2*g + z for g. 5 Suppose -u + 4 + 0 = 0. Let h be 0 + (-4)/u + 1. Suppose 2*n = -h*n. Solve n = v + v - 4 for v. 2 Suppose -6*v + 8 = -2*v. Suppose 19 = 3*q + 5*r, 5*r = q - 7 + 14. Suppose q*d = 12 - 3. Solve -d*a = -v*a for a. 0 Suppose -2*p - 3*d = -11, p + 7 = -d + 11. Solve p - 4 = -s for s. 3 Let d(a) = a**3 - 13*a**2 + 23*a - 9. Let u be d(11). Suppose -3*p + u*p + 3 = 0. Solve -8 = 5*k - p*k for k. -4 Suppose -6*n = -9*n - 18. Let f be 0 + n/2*2. Let a be (-9)/f + (-6)/(-4). Solve 0*m = a*m for m. 0 Suppose 27*l - 16 = 23*l. Solve 0 = s - l*s - 6 for s. -2 Let r be 52/(-12) + 4 - (-618)/(-9). Let b = r + 69. Solve 2*y = -b*y + 4 for y. 2 Let j = -81 - -144. Let h = j + -40. Suppose -n = -3*a + 5 - h, 2*a + 13 = n. Solve n*v + 4 = v for v. -2 Let i = -1432 + 1453. Solve i = -20*a - 19 for a. -2 Let v(d) = d**3 + 2*d**2 + 2*d. Let z be v(-2). Let p be 2/z - (-5)/2. Suppose 0 = p*q - 1 - 3. Solve q*x = -3*x for x. 0 Let i = 49 - 47. Suppose 3*o = -i*f + 50, 2*o - 30 = f - 4*f. Solve 3 = -3*h + o for h. 5 Let s = 7 + -3. Let c be (-308)/(-42) - 10/(-6). Let o be (-11)/(-1) + -1 + 0/(-1). Solve c*b = s*b + o for b. 2 Let h be (9 - 246/30)*(-15)/(-2). Solve j - h*j + 10 = 0 for j. 2 Suppose -27*p = -14*p - 130. Solve -p*v = 10*v - 80 for v. 4 Let h(a) = -a**2 + 13*a - 7. Let w be h(12). Suppose -o - 3 = -5*q, 0 = w*q - q - 4. Solve -o = -2*b - 0 for b. 1 Let t(s) = -s**3 + 8*s**2 - 8*s + 9. Suppose 2*o - 6 - 8 = 0. Let d be t(o). Let x(c) = c**2. Let z be x(d). Solve 4*p - 2*p - z = 0 for p. 2 Suppose -b = 5*v + 65, 4*b = 3*b + 2*v - 72. Let t = 72 + b. Solve t*a - 3 - 5 = 0 for a. 4 Suppose t - 4*g - 2 + 4 = 0, -2 = -2*g. Let d be 27/(-36)*(-8)/2. Suppose 0 = -d*m + 5*m. Solve m = -0*s - t*s for s. 0 Suppose -3*z = -4*z + 2. Suppose 0 = z*r + r - 36. Let p be r - 3*4/12. Solve -3 = 4*f - p for f. 2 Suppose 240 = -0*n + 4*n - 5*l, -l = -4. Suppose 3*u + 73 = 4*w, -3*w + n = 2*u + 6. Solve -3*i - w = -4 for i. -5 Let m be 5/((4/6)/((-76)/(-57))). Solve m*w - 8 = 8*w for w. 4 Let t be 18/(-45) - 185/(-25). Solve -t = -5*r + 3 for r. 2 Suppose 5*l + 2*p = 12, -l + 4*p + 4 = -4*l. Suppose -4*u = -s + 28, s - l = -3*u - 11. Let f = s + -4. Solve f*h + 4 = -4 for h. -2 Suppose q - 43 + 24 = 0. Solve 5*i - 6 = q for i. 5 Suppose -19*g + 23*g = 8. Solve 0 = g*l - 3*l for l. 0 Suppose -n - 24 = -2*w + 2*n, 5*w = 3*n + 69. Suppose -2*o = 5*d - 3*d - 6, 0 =
{ "pile_set_name": "DM Mathematics" }
a Which is the third smallest value? (a) 1/2 (b) 78 (c) -0.08782 b What is the fourth biggest value in 89, 126/5, -0.1, 11, -1/6? -0.1 What is the fifth biggest value in 2/11, -0.9, -4, 1395168, -0.3? -4 Which is the biggest value? (a) -881 (b) 2/5 (c) 8 (d) -37 c What is the smallest value in -1/3, 5, -1112481? -1112481 Which is the third smallest value? (a) 1/2 (b) -0.3 (c) 2 (d) 3/2 (e) 856 (f) -23 a Which is the second smallest value? (a) -2/7 (b) 0 (c) 3 (d) -11 (e) 1 (f) 455 a What is the second biggest value in -1189089, 6, 16? 6 What is the second smallest value in -0.5, -12/23, -17, 1742/3, 21/10? -12/23 Which is the third smallest value? (a) -0.48 (b) 126.01 (c) -0.3 (d) -4 c Which is the third smallest value? (a) 0.1 (b) 137 (c) -1/2 (d) -2226 a What is the second biggest value in 624377, 6, 3/4? 6 Which is the biggest value? (a) 1 (b) -730 (c) 7.3 (d) 3/23 c What is the fifth smallest value in 0, 2, -2, 0.18, 514? 514 What is the second biggest value in -6, -134, 0.4, 23866? 0.4 What is the fifth smallest value in -2, 3, -6, 4, 19561, -5/4? 4 Which is the second biggest value? (a) 1/42 (b) -7 (c) -1/13 (d) -0.78 (e) -2 (f) 1 (g) -1 a Which is the third smallest value? (a) -7 (b) 3/16 (c) 69 (d) -226 b What is the second biggest value in -37087, 2/13, 0.0765? 0.0765 What is the fifth smallest value in -498, 66, -1/10, 0, -17? 66 What is the second biggest value in 1, 0.2, -2/3, -4, 0.095, 0.0928? 0.2 Which is the smallest value? (a) 77.8 (b) 73 (c) -18/755 (d) 0.1 c What is the second biggest value in 977, 49, 41, 1, -1/2? 49 What is the second smallest value in -8.8, -6, 424, 3? -6 What is the second biggest value in 0.07, -259321, 11? 0.07 What is the fourth biggest value in -2/7, 17, -0.015, -14, 19? -2/7 What is the second biggest value in -23302, -2/5, 8/5, -0.0144? -0.0144 Which is the fifth smallest value? (a) 423/20 (b) -2/9 (c) -0.11 (d) 5 (e) 3/7 a What is the second biggest value in -4/21, -6, -16, 1, 43, -2, 2/5? 1 Which is the fourth smallest value? (a) 0.03 (b) -2 (c) 3/1198 (d) -67 a What is the seventh smallest value in -5, -0.2, -0.009, -16, -0.5, -0.07, 0? 0 What is the second smallest value in 9, 0.4, 3996, 8? 8 What is the second biggest value in -2/3, -4, 0.5, 4861256? 0.5 Which is the fourth biggest value? (a) 20 (b) 53 (c) -0.7 (d) 9 c Which is the fourth smallest value? (a) 17/5 (b) 0.3 (c) 8 (d) -6 (e) -6748 a Which is the second biggest value? (a) -0.2 (b) -2/17 (c) 0.004225 (d) -4 b What is the fifth smallest value in -2/375, -1/17, 4, 3/2, -2/3? 4 What is the third biggest value in -3, -170, 25, -13? -13 What is the third smallest value in -3/4, 2, 13, 0.348799? 2 What is the seventh smallest value in 116, -5, -2/51, -10, 219, -0.1, 0.2? 219 What is the fifth biggest value in 1163, 1/7, -1/2, -2, -0.4, 3/4? -1/2 Which is the biggest value? (a) -0.2 (b) 1.6 (c) -109140 b What is the biggest value in -0.5, 0.017, -0.09, -125? 0.017 Which is the third biggest value? (a) 0.44 (b) 22 (c) -194/3 c What is the third biggest value in 42116, -9, 38, -3? -3 What is the fourth biggest value in -4, 279074, 0, -1/7, 5? -1/7 What is the biggest value in -0.3, 1, -56, -0.04, -5.681? 1 Which is the second smallest value? (a) -1 (b) -2.87 (c) 1 (d) 4 (e) 2.58 a What is the biggest value in -0.06, 1/130, 6, -2/39, 3/2? 6 What is the seventh smallest value in 13, -2, -115, -0.3, -1/3, -2/257, -2/7? 13 Which is the fifth smallest value? (a) 7/6 (b) -229/5 (c) 4/7 (d) 2 (e) 2.2 (f) 15 e What is the fifth biggest value in -7, 25, -1/4, 33, -5, -4? -5 What is the third biggest value in -1014580, -2/5, 3? -1014580 Which is the fifth biggest value? (a) -1/5 (b) 2/7 (c) -910 (d) 2/3 (e) 2 (f) 11 a Which is the third smallest value? (a) 7 (b) -3 (c) 2/5 (d) -6612 (e) -123 b Which is the second biggest value? (a) -145158 (b) -8 (c) -3/7 (d) 68 c Which is the fifth smallest value? (a) 15 (b) -0.018 (c) -4 (d) 3/4 (e) 0.4 (f) -5 d What is the second biggest value in 2, 2/17, -3361, 6, 2/81? 2 Which is the smallest value? (a) -23 (b) -2370 (c) 9 (d) 0.03 (e) -0.06 b Which is the second smallest value? (a) -2/19 (b) -1/3 (c) -28 (d) 52 (e) -132 (f) 8 (g) -0.3 c Which is the smallest value? (a) 0.3 (b) 0.2 (c) 4.5 (d) -11 (e) -0.1 (f) 6177 d What is the fifth smallest value in -4449.5, -0.6, -0.1, -0.2, -69, -0.4, -3? -0.4 Which is the smallest value? (a) 0.5 (b) -0.1 (c) -11 (d) -9 (e) -271 e Which is the smallest value? (a) 4 (b) -3137953 (c) -7 b Which is the smallest value? (a) -119 (b) -3203 (c) 2/5 (d) -0.45 b Which is the sixth smallest value? (a) -1/3 (b) -1 (c) -145 (d) -5 (e) -228 (f) 0.3 (g) 1 f What is the biggest value in -49.3, 0.5, -0.09227? 0.5 Which is the smallest value? (a) 0 (b) -1/4 (c) -0.1 (d) -3/7 (e) 10 (f) -7732 (g) 1/9 f What is the biggest value in -5, 99, 9, -2/11, -6, -2/13? 99 What is the smallest value in -0.15, 1, 1/7, -597, -3/4, 0? -597 Which is the second smallest value? (a) -7 (b) -601 (c) 12 (d) 13 (e) 0.4 (f) 2/3 a Which is the third biggest value? (a) 9 (b) 6 (c) -77 (d) -11 (e) -1/3 (f) 0 (g) -3 f Which is the fourth biggest value? (a) 383.29 (b) -71 (c) -1/10 (d) -3/13 b Which is the second biggest value? (a) 2 (b) -2/5 (c) -0.7 (d) 236 (e) 40/3 (f) 0.3 (g) 0.4 e What is the fifth biggest value in 3, -0.06, 15688.9, -2/5, 0.5, 2? -0.06 Which is the biggest value? (a) 11 (b) -2/3 (c) -3/10 (d) 4 (e) -3/7 (f) -4 (g) 7 a Which is the third smallest value? (a) -1/4 (b) 0.2 (c) -27 (d) 5 (e) 30 (f) -5 (g) 213 a Which is the fourth biggest value? (a) -0.2 (b) 2.05 (c) -11 (d) 0.355 c What is the smallest value in -0.312, -11, 5, 1, -7/8, 8? -11 What is the fifth smallest value in -0.3, -1.42, -3, 2/8255, -0.1, 1/2? 2/8255 Which is the second biggest value? (a) -2 (b) 0.3 (c) 25 (d) -38.56 (e) 14 e Which is the smallest value? (a) 1/8 (b) 3 (c) 0.8098 (d) 0.0528 d Which is the second biggest value? (a) -1/56 (b) -1/10 (c) 1/1173 (d) 0.03 c What is the fourth biggest value in -684, -5, -0.1, -3, -2, -2/5? -3 Which is the third smallest value? (a) 0.2 (b) 0.009 (c) 236 c What is the fourth biggest value in 223, -1396, -5, -1.8? -1396 Which is the fourth smallest value? (a) -4/3 (b) 389 (c) 3 (d) 0.6 (e) 10 e Which is the smallest value? (a) 1/2 (b) 27/12925 (c) -10 c What is the third biggest value in 41, 2, 0.327, -9/19? 0.327 Which is the biggest value? (a) 5 (b) 38 (c) -1/5 (d) -6 (e) 847 (f) -0.01 e Which is the fourth biggest value? (a) -1 (b) 64 (c) -3/2 (d) 0.4 (e) 0.8 (f) 231 (g) 5 e What is the third biggest value in 4, -3/5, -1, 89.97? -3/5 What is the third smallest value in 1.97, -0.4, 2/9, -2332? 2/9 What is the second smallest value in 0.5, -2, -561, -49? -49 What is the fourth biggest value in 2/11, 138/563, 0.5, -4, -3, -2/11, -0.05? -0.05 Which is the third biggest value? (a) 0.5 (b) 513 (c) 10 (d) -0.5 (e) -1 a Which is the smallest value? (a) 3843 (b) 7 (c) 80 (d) 0.4 d Which is the smallest value? (a) -3 (b) -4 (c) 4 (d) -25.6 (e) -0.3 (f) 151/4 d Which is the fifth biggest value? (a) 2/9 (b) 6 (c) -0.1 (d) 0.25 (e) 29 (f) -10 c What is the sixth biggest value in 0.11, -1/4, -3, -3/23, 3, -28? -28 What is the second biggest value in 0.5, 5, 234, 8, -16/3, 4? 8 What is the second biggest value in -7/5, -18167, -0.3, 0.081? -0.3 Which is the second smallest value? (a) -774 (b) -24 (c) 209 b What is the second smallest value in -2/5, -17, 0.8, -625, -13/7? -17 What is the second smallest value in 0, 1/5, -1/8, -0.4, -214, 3/7, -0.34? -0.4 What is the sixth biggest value in 7520, 0.06, -1/6, -0.4, 7, -3/5? -3/5 What is the third smallest value in 3, -523.8, 442? 442 What is the smallest value in -0.5, -0.4, -3144, 4517? -3144 Which is the fifth smallest value? (a) -15 (b) 1 (c) 1/4 (d) 2 (e) 943 (f) -0.5 d What is the third biggest value in -0.0765, -9, 0.276? -9 What is the third biggest value in -4/99, -0.245, 3/7, 0.039? -4/99 What is the fourth smallest value in -3/5, -0.26442, 0.051, -2? 0.051 What is the third biggest value
{ "pile_set_name": "DM Mathematics" }
8*a**2 + 1026*a + 4 Let u(d) = -2*d. Let s(w) = -5*w**2 + 263*w. Give s(u(x)). -20*x**2 - 526*x Let c(b) = 4*b - b - b. Let u(a) = 6*a. Let s(j) = 3*j. Let z(l) = 5*s(l) - 2*u(l). Give c(z(f)). 6*f Let m(z) = 2*z - 135. Let q(b) = b**2. Calculate m(q(a)). 2*a**2 - 135 Let c(z) = -2*z. Let y(k) = 44*k + 16. Give c(y(g)). -88*g - 32 Let p(q) = 3*q - 77. Let d(y) = -8*y. Give p(d(x)). -24*x - 77 Let j(z) = -z. Let s(w) = 2075*w**2. Determine j(s(v)). -2075*v**2 Let q(u) be the first derivative of -u**2 + 1. Let n(y) be the third derivative of -y**5/30 + 17*y**2. What is n(q(l))? -8*l**2 Let n(j) = -1 + 8 - 3*j**2 - 7. Let a(x) = -13*x. What is n(a(w))? -507*w**2 Let j(n) = -2*n. Let h(x) = -13*x**2 + 68*x. Calculate h(j(c)). -52*c**2 - 136*c Suppose -w = 2*w. Let p(n) = w*n**2 + 0*n**2 + 2*n**2. Let q(b) be the third derivative of b**4/24 + b**2. What is q(p(v))? 2*v**2 Let q(p) = -3*p + 2*p + 9*p + 0*p. Let r(m) = -2*m. Calculate r(q(s)). -16*s Let r(y) = 3*y. Let i(u) = 10*u. Suppose -24 = -0*b + 4*b. Let f(v) = b*i(v) + 21*r(v). Let a(d) = -4*d + 0*d + 2*d. What is a(f(j))? -6*j Let s(y) = 3*y**2. Let z(d) = 14*d - 8. Give z(s(m)). 42*m**2 - 8 Let b(g) = -2*g. Let f(n) = -5*n + 2. Let z(v) = -10*v + 4. Let y(r) = 5*f(r) - 2*z(r). Calculate y(b(t)). 10*t + 2 Let c(g) = -3*g. Let t(d) = 6*d. Give c(t(r)). -18*r Let v(k) = 141*k. Let c(h) = -8*h. What is v(c(y))? -1128*y Let z(u) = -2*u**2 + 17*u. Let f(q) = 3*q**2. What is z(f(r))? -18*r**4 + 51*r**2 Let r(a) = 23*a**2. Let k(u) = -3*u**2. Calculate k(r(p)). -1587*p**4 Let g(b) = 12*b + 2. Let i(j) = -2*j**2. Determine i(g(f)). -288*f**2 - 96*f - 8 Let p(a) be the first derivative of -2*a**2 - 1. Let j(x) = 6*x**2 - 4*x - 4. Let o(i) = 7*i**2 - 5*i - 5. Let f(h) = -5*j(h) + 4*o(h). Give f(p(b)). -32*b**2 Let m(r) = 16*r**2. Let u(h) = -6*h**2. Calculate m(u(q)). 576*q**4 Let s(v) = 19*v**2 + 2. Let j(x) = -2*x. Let k(o) = -o**2 + 9*o. Let h(g) = 9*j(g) + 2*k(g). Calculate s(h(w)). 76*w**4 + 2 Let s(o) = -2*o. Let n(t) = -75*t. Give s(n(g)). 150*g Let o(y) = 3*y**2 + 5 - 3 - 2. Let v(t) = 8*t. Determine v(o(r)). 24*r**2 Let g(f) = -6*f. Let v(c) = 2*c. Let z(y) = 3*g(y) + 8*v(y). Let l(m) = -m + 1. Let q be l(-2). Let o(j) = 2 - q*j**2 - 2. Calculate z(o(d)). 6*d**2 Let r(n) = -2*n**2. Let f(v) = 505*v. Give f(r(z)). -1010*z**2 Let c(v) = -8*v. Let p(q) = -23*q - 6. Give p(c(m)). 184*m - 6 Let s(d) = 9*d**2. Let c(u) = 22*u. Give s(c(g)). 4356*g**2 Let z(n) = 11*n. Let p(o) = -7*o - 9. Let r(f) = 3*f + 4. Let b(q) = -4*p(q) - 9*r(q). What is z(b(x))? 11*x Let u(k) = -37*k**2 - 2*k - 2. Let g(l) = 630*l**2 + 35*l + 35. Let x(f) = 2*g(f) + 35*u(f). Let c(a) = 2*a**2. What is x(c(v))? -140*v**4 Let c(h) = -2*h**2 - 30*h. Let n(d) = -2*d**2. Calculate c(n(a)). -8*a**4 + 60*a**2 Let n(r) be the first derivative of -3 + 0*r + 3/2*r**2 + 0*r**3 + 5/24*r**4. Let w(u) be the second derivative of n(u). Let t(k) = k. Give w(t(h)). 5*h Let z(a) = 2*a. Let j(y) be the first derivative of -y**5/10 + 2*y**2 - 1. Let h(t) be the second derivative of j(t). What is h(z(l))? -24*l**2 Let t(q) = 9*q**2 - 15. Let c(i) = -2*i**2 + 4. Let h(o) = 15*c(o) + 4*t(o). Let y(s) = -8*s**2. Calculate y(h(b)). -288*b**4 Let i(m) = -6*m + 5. Let s = 4 + 1. Let z(h) = h - 1. Let v(b) = s*z(b) + i(b). Let d(w) be the first derivative of -2*w**3/3 + 1. Determine v(d(o)). 2*o**2 Let u(d) = -2977*d. Let y(s) = -3*s. Give u(y(c)). 8931*c Let g(u) = u. Let z(x) = 3 + 11*x**2 + 20*x**2 - 1. Give g(z(q)). 31*q**2 + 2 Let y(h) = 4*h. Let m(a) = -954*a. Give y(m(z)). -3816*z Let a(k) = 9*k**2. Let h(p) = -12*p. Give a(h(q)). 1296*q**2 Let g(c) = 0*c + 3*c - 2*c. Let h(o) be the first derivative of o**4/6 - 4*o - 1. Let q(k) be the first derivative of h(k). Determine q(g(w)). 2*w**2 Let q(b) = -10*b. Let r(t) = -3*t + 1. Calculate r(q(x)). 30*x + 1 Let t be (-1)/3 + (-52)/(-12). Let n(m) = 48 - t*m - 48. Let g(j) = 1. Let x(f) = 2*f - 2. Let i(b) = 2*g(b) + x(b). Determine n(i(p)). -8*p Let y(x) = 369*x**2. Let o(t) = -3*t**2. Calculate y(o(c)). 3321*c**4 Let d(y) be the second derivative of 0 + 1/2*y**3 - 2*y + 0*y**2. Let z(m) = -3*m**2. Give d(z(i)). -9*i**2 Suppose 24 = 14*y - 8*y. Let w(s) be the third derivative of -s**2 + 1/30*s**5 + 0 + 0*s + 0*s**3 + 0*s**y. Let x(h) = 3*h. Calculate w(x(l)). 18*l**2 Let f(c) = 2*c**2. Let r(s) be the first derivative of 12*s**3 + 20. Determine r(f(h)). 144*h**4 Let w(s) = 2*s - 20. Let d(p) = 35*p. What is w(d(n))? 70*n - 20 Let k(r) = -2*r**2. Let c(u) = -5*u**2 + 106. Calculate c(k(h)). -20*h**4 + 106 Let j(h) = -5*h**2 - 332. Let s(p) = -3*p**2. Give j(s(a)). -45*a**4 - 332 Let t(n) = -n. Let m(b) = -1686*b**2. Determine m(t(r)). -1686*r**2 Let v(q) = 3*q. Suppose -4*z = -0*z + 16. Let p = z - -3. Let x(j) = j**2. Let o(f) = 3*f**2. Let b(y) = p*o(y) + 4*x(y). Give v(b(g)). 3*g**2 Let n(p) = 3*p**2. Let h(r) be the first derivative of r**4/24 + r**2 - 2. Let t(m) be the second derivative of h(m). Give n(t(z)). 3*z**2 Let k(n) = 15*n + 7. Let l(v) = v**2. Determine k(l(t)). 15*t**2 + 7 Let d(z) = -2*z. Let h be (-141)/(-21) + 4/14. Let q(b) = 1 + h*b**2 - 5*b**2 - 1. Give q(d(g)). 8*g**2 Let d = -3 + 4. Let l(o) = -d - 5*o**2 + 5 - 4. Let k(z) = 2*z. Calculate l(k(v)). -20*v**2 Let d(q) = -q + q - 3*q**2. Let m(j) be the first derivative of j**2 - 5. Give m(d(n)). -6*n**2 Let b be 1 + (-3 - -2) + 4. Suppose -b*a + 3*a - 17 = -2*i, -13 = -i - a. Let v(s) = i*s + 2*s**2 - 10*s. Let t(z) = 2*z**2. Calculate v(t(h)). 8*h**4 Let k(u) = 25*u. Let t(j) = 349 + 3*j - 349. What is t(k(c))? 75*c Let b(m) = m. Let n(c) = 86*c**2. What is n(b(z))? 86*z**2 Let f(h) = h. Let o(d) = -2*d**2 + 3*d + 24. Give f(o(k)). -2*k**2 + 3*k + 24 Let p(x) be the second derivative of 0*x**3 + 0*x**2 + 0 - 7*x + 13/6*x**4. Let f(q) = q**2. Calculate p(f(m)). 26*m**4 Let k(n) = 0*n**2 - 2*n**2 + n**2. Let m(o) be the first derivative of o**5/30 - o**2/2 + 1. Let w(l) be the second derivative of m(l). Determine k(w(j)). -4*j**4 Let q(d) = d + 8. Let j be q(-8). Let f = j - -2. Let i(y) = -y**f - 3*y**2 + y**2. Let v(g) = -2*g**2. What is i(v(z))? -12*z**4 Let n(y) be the first derivative of 5*y**2/2 - 11. Let l(o) = -4*o. Determine n(l(m)). -20*m Let b(a) be the second derivative of a**4/4 + a. Let i(l) = -3 - 2*l + 6 - 3. Calculate b(i(c)). 12*c**2 Let i(w) = -418*w**2. Let n(y) = 7*y**2. Calculate i(n(a)). -20482*a**4 Let m(a) = -a**2. Let u(c) be the second derivative of 5*c**4/24 + c**2/2 + 2*c. Let j(v) be the first derivative of u(v). What is m(j(l))? -25*l**2 Let v(n) = n**2. Suppose -5*r + 5*c = -80, r + 7 = -c + 31. Let m(w) = r*w**2 - 6*w**2 - 7*w**2 - 11*w**2. What is m(v(p))? -4*p**4 Let t(u) be the second derivative of u**4/2 - 13*u. Let y(c) be the first derivative of -c**2/2 + 1. Give y(t(o)). -6*o**2 Let c(i) = 6*i**2. Let j(q) = 41*q**2. Calculate j(c(n)). 1476*n**4 Let g(c) = -78*c. Let t(o) = 40*o. Give g(t(m)). -3120*m Suppose z - 2*h + 20 = 5*z, 10 = -2*z + 4*h. Let t(q) = -3 + z - 2*q**2. Let j(w) = -2*w**2. Calculate t(j(n)). -8*n**4 Let k(c) = 26*c. Let s(x) = 21*x. Give s(k(z)). 546*z Let i(t) = -4*t. Let c(n) = -11*n + 3. Let s(h) = 32*h - 8. Let z(a) = 8*c(a) + 3*s(a). What is i(z(x))? -32*x Let q(r) = -170*r**2. Let k(m) = 9*m**2. Give k(q(l)). 260100*l**4 Let j(i) be the first derivative of -i**2/2 - 4. Let g(q) = -26*q. Determine g(j(c)). 26*c Let g(r) = -2*r. Let a be 160/26 - 4/26. Let f(k) = 2*k + a*k + 0*k + 0*k. Give g(f(y)). -16*y Let d(w) = 4*w**2 - 197*w. Let y(v) = 2*v**2. Give d(y(t)). 16*t**4 - 394*t**2 Let s(k) be the third derivative of k**5/40 - 2*k**3/3 + 7*k**2. Let w(g) be the first derivative of s(g). Let z(a) = 0*a + a + 0*a. Calculate w(z(b)). 3*b Let d(v) = -14*v**2. Let x(o) = -11*o + 7. Let q(a) = -3*a + 2. Let k(w) = 21*q(w) - 6*x(w). Determine k(d(c)). -42*c**2 Let h(v) be the second derivative of -v**3/6 + 16*v. Let p(a) = 5*a**2. Calculate h(p(d)). -5*d**2 Let m(j) = -j. Suppose -5*u + 8*u = 0. Let v(c) = c + u*c + c - 5*c. Give v(m(x)). 3*x Let u(m) = 19*m**2. Let t(x) = 8*x**2. Calculate u(t(s)). 1216*s**4 Let j(q) be the second derivative of -q**4/12 - 5*q. Let g(k) = -13 + 22 - 9 - 5*k. Determine g(j(c)). 5*c**2 Let x(d) = 8*d - 15*d - 2 + 2. Let p(h) = 3*h. Gi
{ "pile_set_name": "DM Mathematics" }
. Let z be (-32)/c - (-4)/(-14). Solve -z = -4*o + 6 for o. 2 Let h = -9 + 11. Solve h*z = z + 4 for z. 4 Suppose 5*v - 42 = -17. Solve v*r - 4 = -19 for r. -3 Let m be -31 - -8 - (1 + 1). Let g = m - -37. Solve -5*b + g - 2 = 0 for b. 2 Let n(o) = o**2 + 4*o - 6. Let x be n(-5). Let q = x - 0. Let i be (-8)/4*(q - 0). Solve -i*l + 0 = 8 for l. -4 Let i(l) be the third derivative of l**6/720 + l**4/24 - 3*l**2. Let x(z) be the second derivative of i(z). Let m be x(4). Solve 3*s + m = -s for s. -1 Let v(a) = a + 7. Let k be v(-7). Solve 2*o - o + 5 = k for o. -5 Let r be (-45)/(-12) + 2/8. Let f(i) = i**2 - 3*i + 2. Let u be f(5). Let t = 8 + -6. Solve t*g + u = r for g. -4 Suppose 0 = 3*u - 0*m + 2*m - 2, 4*m - 4 = -5*u. Solve u = 3*f + 14 + 1 for f. -5 Let r = 44 - 66. Let o = -22 - r. Solve o = -4*h - 2 - 10 for h. -3 Let x be (-3 + 3)/(0 - 2). Solve 2*b = -x*b - 8 for b. -4 Let n(l) = -l**3 - 2*l**2 - l - 1. Let t(g) = g - 2. Let a be t(0). Let p be n(a). Let j(c) = c - 1. Let v be j(p). Solve r = -v*r for r. 0 Suppose 0 = -15*p + 2 + 43. Solve -p*w - 10 = 2*w for w. -2 Suppose 3*c + 0*c + 5*k = 5, 4*c - 14 = -3*k. Suppose -8 = c*b - b, -8 = v + 5*b. Solve -4*m + v = 10 for m. -2 Let p(s) = s**3 - s**2 + s + 10. Let k be p(0). Let w = k + 0. Let u = -85 + 120. Solve u = -5*x + w for x. -5 Let u(l) = 4*l. Let a be u(-2). Let d(p) = -p + 3. Let c be d(a). Suppose -3*m + c = 4*x, -4 + 31 = 5*m - 2*x. Solve -9*q = -m*q for q. 0 Let z be (44 - 18)*1*-1. Let d = 40 + z. Solve -5*o = -d - 6 for o. 4 Suppose -12 = -x + 4*a, 25*a = 3*x + 20*a - 36. Let r be 4 - (0 - 4/2). Let k be ((-6)/1)/(r/(-3)). Solve k*q - x = -q for q. 3 Suppose -3*z + 0*z = 6. Let m be z/10 - 16/(-5). Let i be m - (-3)/6*2. Solve 6 = -j + i*j for j. 2 Suppose 3*d + r = 9, -32 = 5*d - 10*d + 4*r. Suppose -q - 19 = -d*u - 2*q, 4*u + 1 = -5*q. Solve 9 = u*w - 3*w for w. 3 Let b be (-1)/((14/12)/7). Let i(c) = c**3 + 6*c**2 - c + 4. Let g be i(b). Let t = g + -6. Solve 0 = 3*l - l + t for l. -2 Suppose -q = 3*q - 12. Let a = 89 + -89. Solve k + a*k = -q for k. -3 Let n be (1 + 3/(-6))*-2. Let l be 1*(n - (5 - -2)). Let d = l + 12. Solve 0 = -o + d*o - 15 for o. 5 Let x = -87 + 91. Solve o - 3*o = x for o. -2 Suppose 0 = -4*s - 226 + 226. Solve -12 = -s*j - 3*j for j. 4 Let o(s) = -s + 1. Let n(k) = -5*k + 5. Let h(j) = n(j) - 4*o(j). Suppose -a - p = 1, 2*a = -3*p - 0*p. Let f be h(a). Solve -f*q + 6 - 2 = 0 for q. 1 Let y be (2 - 2 - 3) + -3. Let o(i) = i**3 - 3*i**2 + 4*i - 4. Let v be o(3). Let u = y + v. Solve -u*t + 2 = -3*t for t. -2 Let t = 9 + -3. Suppose 14*r - t = 12*r. Solve 0*h + r = -h for h. -3 Let u(k) = -k**3 + 10*k**2 - k + 12. Let w be u(10). Let b be (w + 0 - 13)*-1. Solve b = -5*a + 1 for a. -2 Let v = -23 + 25. Solve b - v = 2 for b. 4 Suppose -4*b + 6*b - 16 = 0. Let u = 7 + b. Let q = 30 - u. Solve -3*c + q = -6*c for c. -5 Suppose 0 = 3*g, 0 = -l - 4*l - 5*g + 10. Solve 3 = h - l for h. 5 Suppose -5*y = 5*w + 35, -3*w + 3 = -5*y - 8. Let p(i) = -i**3 - 3*i**2 - 4. Let o be p(y). Suppose -3*r + 12 = r. Solve -r*a - o = a for a. -3 Suppose -2*x - 2*x = -304. Let r = -51 + x. Solve 2*u - 7*u = r for u. -5 Suppose -v - 36 = 2*r - 5*r, 0 = 3*r + 3*v - 48. Suppose -5*y + 2 = -r. Solve 0*a - 6 = y*a for a. -2 Let w be 2*(-1)/((-2)/3). Let i(x) = x + 1. Let g be i(w). Solve -g*d + 2 = -2*d for d. 1 Suppose -3*r - 1 = 2. Let f be -6 - -4 - 2*r. Solve 5*i + 15 = -f*i for i. -3 Suppose 2*a + 3 = 3*a. Suppose 2*i - 6 = -i. Suppose -i*c + 4 = 4*o, c = 3*o - 0*o - 3. Solve c = -2*j - a*j for j. 0 Let x(u) = -3*u**2 - 9*u - u**2 + 3*u**2. Let i = -6 + -2. Let m be x(i). Solve 3*k - m*k = -5 for k. 1 Let f = 0 - -3. Suppose 0 = -f*c + 6*c. Solve c = -0*t + 2*t + 2 for t. -1 Let z = 9 - 3. Let u = z + -6. Suppose 2*t = -u*t + 2. Solve 0 = -n + 4 + t for n. 5 Suppose -3*h + k - 8 = -3*k, 2*h + 6 = 3*k. Suppose z - 6*z = 0. Let a = z - h. Solve a*l - 9 = -3*l for l. 3 Suppose 4*f = 27 - 15. Solve 2*m = f*m for m. 0 Let v be 21/(-27) - (-8)/(-36). Let g(o) = 2*o**2 - o. Let t be g(v). Solve -t*r - 2 = 1 for r. -1 Let d be (1 + 0)/(2/(-6)). Let r = -72 + 111. Let c be (r/(-12))/(d/12). Solve 0 = -3*l + c + 2 for l. 5 Let p(u) = -2*u + 21. Let o be p(10). Solve -w + o - 2 = 0 for w. -1 Suppose -v = 5*d - 16 - 5, -5*v = 4*d. Let o be ((-24)/(-5))/((-15)/(-50)). Let c be (6/(-8))/(v/o). Solve -2*q + c = 5 for q. -1 Let q(l) = -l**3 - 17*l**2 + 20. Let w be q(-17). Solve -u + w = -6*u for u. -4 Let f = 8 + -6. Suppose -2*q + 5*j - 1 = 0, -j - 1 = -q - 0. Solve -f*p = -4 + q for p. 1 Let o be 4 + 0 + 2/(-2). Suppose o*f - 9 = 0, f = 3*d + 4*f - 27. Suppose d = 3*a - a. Solve -a*q + 6 + 0 = 0 for q. 2 Suppose 4*t + 10 + 26 = 0. Suppose 7*d - 96 = -d. Let g = t + d. Solve 4*p = p + g for p. 1 Let v = 12 - 7. Let o be (-1)/(-1) + v + -6. Solve 5*f + 10 = -o for f. -2 Let a(x) = x**3 + 4*x**2 + 3*x + 1. Let v be a(-3). Let i = v + 1. Let f be 0/i*2/4. Solve f*s = -5*s for s. 0 Suppose 5*j = -5*q + 10, j + 0 + 6 = -3*q. Let r = j + -4. Solve r*t = 3*t for t. 0 Let u(l) = -l**2 + 4*l - 3. Let o = -3 - 1. Let g(n) = n**2 - 4*n + 2. Let p(c) = o*u(c) - 5*g(c). Let s be p(4). Solve -s*k + 4 = 2*k for k. 1 Let a(c) = -c**3 - 2*c**2 - 2*c + 1. Let d be a(-2). Solve 7*m + 10 = d*m for m. -5 Suppose -4*y - 38 = -3*l - 12, y + 49 = 5*l. Solve -l = d - 3*d for d. 5 Let n(x) = x**3 + 5*x**2 - 4. Let m be n(-5). Let s be m/14 - (-210)/49. Suppose -f + s*f - 24 = 0. Solve -k + f = k for k. 4 Let j = 29 - 26. Solve -l = -j*l for l. 0 Let g(d) be the second derivative of -d**5/20 + 5*d**4/6 - 3*d**3/2 + 2*d**2 - d. Let p be g(9). Let r = -32 - -32. Solve p*t + t + 25 = r for t. -5 Let o = 4 + 4. Solve -5*k = -28 + o for k. 4 Suppose 3*x - 3 = -5*z + 4, 2*x = -z. Let j(g) = -1. Let k(p) = -p**2 - 5*p + 5. Let d(u) = 4*j(u) - k(u). Let o be d(-7). Solve 0 = -z*w + o + 3 for w. 4 Suppose -g = -2*g + 10. Suppose 0 + g = 5*s. Solve -s*v + 1 = 7 for v. -3 Let l(w) be the second derivative of w**4/12 - 7*w**3/6 + w**2/2 - w. Let f be l(8). Suppose 0 = 2*k - 11 + 3. Solve -s - f = -k*s for s. 3 Suppose -6*i - 8 = -7*i. Suppose -4*j + r + i = 0, 2*j + 2*r + 4 = -2*j. Let b be (-5)/(-1) + (-1 - j). Solve 8*h - b*h = -10 for h. -2 Let t(u) = u**3 - u**2 - 2*u + 2. Let f be t(2). Solve f*l - 10 = -4 for l. 3 Let z be 0 - (0/(-2) + -4). Suppose -2*x = -4*x. Suppose z*b + b - 20 = x. Solve 0 = 2*n - 0 - b for n. 2 Suppose -2*m = 2*m. Let o(f) = -4*f + 16. Let z be o(3). Solve -z = -n - m*n for n. 4 Suppose 2*l - 1 = -3*l + 3*j, 2 = -j. Let g = 1 - 2. Let c = g - l. Solve c = -4*i + 2 + 6 for i. 2 Let w be (-1)/3 - 46/(-3). Solve 2*q = -3*q - w for q. -3 Let c = 43 - 23. Solve 0 = h + 3*h - c for h. 5 Let i(u) = -u. Let v be i(3). Let f(a) be the first derivative of -a**4/4 - a**3 - a**2 - 2*a + 5. Let t be f(v). Solve -l = -t*l for l. 0 Suppose 0 = 3*q + 5*x + 3 + 57, 0 = -5*q - x - 78. Let f be 2/5 - (-96)/q. Let j(b) = -b**2 - 8*b - 9. Let k be j(f). Solve c = -6 + k for c. -3 Let t = 15 - 12. Solve t*p - 1 = -16 for p. -5 Let a = 20 - 15. Suppose 15 - 5 = a*q. Solve -4*x + q*x + 6 = 0 for x. 3 Let a(y) = y**3 - 8*y**2 + 9*y - 9. Let d be a(7). Solve 3*x + d + 4 = 0 for x. -3 Let j(d) = d**2 + 4*d - 2. Let o be 13/(-3) + 4/(-6). Let c be j(o). Suppose -5*z - 5*n + 50 = 0, -c*n = 5*z - 2*n - 30. Solve -2*b = -1 + z for b. -2 Suppose -6*r = -3*r - 5*n + 5, 4*r - n = -1. Suppose -5*h + l = -4*l - 90, r = -h - 3*l + 6. Solve 2*q - h = -3*q for q. 3 Let x = -7 + -38. Let b be 4/(-10) + (-18)/x. Solve b = -2*p + 5 - 3 for p. 1 Let u be (0 + 1)*(0 + 3). Suppose l - 16 = -u*l. Let h = -3 + l. Solve -2*c - h = -3*c for c. 1 Let d(i) = i**2 + 25*i - 52. Let u be d(-27). Solve 0 = u*f - 0*f for f. 0 Suppose -12 = -2*w + b, -w + b + 11 = 3. Let d be w/(-14) - (-16)/7. Solve -4*p = -d*p - 8 for p. 4 Let s be 0/2 + 32/2. Let p = s - 11. Solve f - p = -0*f for f. 5 Let k(x) = x**2 - 3*x - 11. Let w be k(-8). Suppose -3 - w = -4*h. Solve -d = 3*d - h for d. 5 Let x be 2/(-9) - (-604)/(-36). Let j = -9 - x. Suppose j*s + u - 102 = 3*s, 3*s - 54 = 3*u. Solve -5*g + 0 = s for g. -4 Suppose -10*q + 10 = -8*q. Solve 0*y = y + q for y. -5 Suppose j = 3*j - 5*u + 4, -3*j - u + 11 = 0. Suppose -4*v + 104 - 7 = j*n, 3*v - 78 = 3*n.
{ "pile_set_name": "DM Mathematics" }
(m*m**25)/(m/(m*m**(2/7)*m*m)))/(m**14/m)**(-5/4) assuming m is positive. m**(1247/28) Simplify (o*o**4)/(o/o**(1/2))*o**(-6)*o**(-4/13) assuming o is positive. o**(-47/26) Simplify (l**(2/51)*l)**(-1/13)/((l*l*l**2)/(l*l*(l**(-9/8)*l)/l)) assuming l is positive. l**(-16999/5304) Simplify ((a**(-1/8)*a)/a**(-4))/((a**(-1)*a)/a)**(4/43) assuming a is positive. a**(1709/344) Simplify (q**(-2/5)/q*q**17)/(q**(1/5)/q*q*q*q/q**(1/3)*q) assuming q is positive. q**(191/15) Simplify (r**(-4/7)*r**(9/5))/(r**12/r*r**(2/9)) assuming r is positive. r**(-3148/315) Simplify (((i/(i*i**(-1)))/i*i)**(13/2)/(i*i**(-6)*i**(-1/5)))**(-1) assuming i is positive. i**(-117/10) Simplify (b*b/(b/((b**(-1/6)*b)/b)))/b**(-6/5)*b/(b/(b**(-20)/b))*b**8*b assuming b is positive. b**(-299/30) Simplify ((f*((f*(f/f**(-4))/f)/f)/f)/f**5*f**4/f*(f*f**5)/f*f)**(1/4) assuming f is positive. f**2 Simplify ((m**(-1/4)*m*(((m*(m/(m**(-1/9)/m))/m)/m)/m)/m*m)**7)**(-1/7) assuming m is positive. m**(-31/36) Simplify (x*x**(-2)*x**(2/31))/(x**(-1/7)/x)**(2/5) assuming x is positive. x**(-519/1085) Simplify (g**(2/21)*(g**(-24)/g)/g)**(-34) assuming g is positive. g**(18496/21) Simplify (c*c**(-1/5)*c)**21/(c**2/c**14) assuming c is positive. c**(249/5) Simplify (v**(-3))**(3/17)/(v**5)**(-3/11) assuming v is positive. v**(156/187) Simplify x**(-10)/x**(-1/5)*(x*x/(x**(-2/5)/x*x))/(x*x**0/x) assuming x is positive. x**(-37/5) Simplify ((w**6/w**(2/3))/(w/w**(-1/4))**(5/6))**(11/4) assuming w is positive. w**(1133/96) Simplify ((l**(-1))**47*(l*l/l**12)/(l**(-3/5)*l))**4 assuming l is positive. l**(-1148/5) Simplify (y**(2/7))**(-35)*y/((y*(y/y**(2/7))/y)/y*y)*y*y**(-2/19)*y assuming y is positive. y**(-1040/133) Simplify (j*j**(-5)*j*j**(-8))/((j**(-6)*j)/j**(8/3)) assuming j is positive. j**(-10/3) Simplify (m*m**(4/13)*(m*m*m**(-17))/m)/((m*m**(-22/7))/m**(5/3)) assuming m is positive. m**(-2971/273) Simplify (l/(l/l**27))**(-6/11)*l**(-3/11)*l**(1/2) assuming l is positive. l**(-29/2) Simplify ((k*(k/k**(-1))/k)**(-18/7)/(k*k**0)**(-9))**2 assuming k is positive. k**(54/7) Simplify (w**(-3/7)*w/((w/w**(4/5))/w))/(w/(w*w/((w**21*w)/w))*w**(-25/4)) assuming w is positive. w**(-1733/140) Simplify ((l*l**14)/l*l*l*l)/(l*(l/(l/(l*l**(-7))))/l)*(l*l*l*l**(2/11)/l*l*l)/(l/l**(6/5)) assuming l is positive. l**(1506/55) Simplify (u**(-3)*u*u)**38*(u**(-4/5))**(-6/11) assuming u is positive. u**(-2066/55) Simplify (v/v**(1/8))/(v**(-18)*v)*(v**(-10))**(-34) assuming v is positive. v**(2863/8) Simplify (i/(i**(1/3)*i))**(-25)/(i**(2/3))**(-5/11) assuming i is positive. i**(95/11) Simplify (l**(1/19)/(l/l**(-3)))/(l**(-8))**(-1) assuming l is positive. l**(-227/19) Simplify (y*y**(-1))**(1/51)*(y/(y/y**2))/((y*y**(-12)/y)/y) assuming y is positive. y**15 Simplify ((c**(-9)*c*c**(-3/5)*c)**(-1/44))**4 assuming c is positive. c**(38/55) Simplify (o**(2/11)*o)**(-25)/(o*o**(-1)/o)**(16/5) assuming o is positive. o**(-1449/55) Simplify ((c/(c*c*c/(c/(c*c**13/c)*c*c)))/((c**(1/7)*c)/c))/(c/(c**(2/15)/c)*c/((c/c**(2/39))/c)) assuming c is positive. c**(-20558/1365) Simplify ((a*a*a*a**(-3)*a)/(a**(-5)/a*a*a))/((a*a**13*a)/(a/(a**(-10/7)*a))) assuming a is positive. a**(-60/7) Simplify ((q**(1/4)*q*q**(-2/5)/q)/(q**(1/4)/(q/((q/q**(-9))/q))))**(-1/53) assuming q is positive. q**(42/265) Simplify (o**(1/10)*o*o*o*o*o**5)/((o/(o**(1/2)/o*o*o))/(o/(o**(-6/5)*o)*o*o)) assuming o is positive. o**(64/5) Simplify ((t/((t/(t/t**(3/2)*t*t))/t)*t)/(t/(t/(t*t**(-3)))*t))/((t/(t/t**3*t*t))/(t/(t*t/(t/(t/t**(-6/5)))))) assuming t is positive. t**(13/10) Simplify (u**26/u)/u*u**(-30)*(u**7/u)/((u**(2/5)/u)/u) assuming u is positive. u**(8/5) Simplify (t**(14/3))**(2/9)/(t**(-3/14)*t*t*t**(-8/11)) assuming t is positive. t**(-89/4158) Simplify (d/(d/(d/d**(-3)))*d)**42*d**(3/7)/((d/(d**(-2)/d*d))/d) assuming d is positive. d**(1459/7) Simplify ((c/(c*c/(c**(-39)/c*c)))/c**(-20))**(-16) assuming c is positive. c**320 Simplify (q*q**(-4)*q*q)**(-25)*((q*q*q**4)/q*q*q)**(-5/4) assuming q is positive. q**(65/4) Simplify (w**(-4/5))**(2/31)/(w/w**12*(w*w*w*(w**(-4/3)*w*w)/w*w*w*w*w*w)/w) assuming w is positive. w**(1991/465) Simplify (((m/m**(5/3)*m*m)/m**(2/7))/(m*m*(m*m**(-1/4))/m)**21)**(-3/8) assuming m is positive. m**(2999/224) Simplify (u*u*u/(u*u**11)*u)**35*(u*u/u**(4/3))/u**(24/11) assuming u is positive. u**(-9290/33) Simplify ((m*m**(1/4))/m**(-13))/(((m*m/(m/(((m*m*m**10)/m)/m)))/m)/(m/(((m*m*m**7/m)/m)/m))) assuming m is positive. m**(-3/4) Simplify (((d/d**(2/27))**(-7))**(-12/19))**(-1/56) assuming d is positive. d**(-25/342) Simplify (b*b*b**6)/b*b*b**(1/6)*(b/(b**(-2/15)/b*b))/b**(-8/3) assuming b is positive. b**(359/30) Simplify (n**(1/44)/(n**(-8)/n*n))/(n**(-1/5))**(1/9) assuming n is positive. n**(15929/1980) Simplify l**(2/51)*l*l/(l*l*l*l*l/l**1)*l**(-4/3)/(l*l**(-12/11)) assuming l is positive. l**(-599/187) Simplify f**(18/11)/((f*f*f/(f/((f*(f/(f/f**7))/f)/f*f)*f)*f)/f)*(f**(6/19))**(1/12) assuming f is positive. f**(-2649/418) Simplify (m*m**(-2/13))**(-11/4)*((m/(m**(7/8)*m))/m)/(m*(m*m/(m*m/m**(-4)*m)*m)/m) assuming m is positive. m**(-21/104) Simplify (o**22/(o*o**(-9)))**(-34) assuming o is positive. o**(-1020) Simplify (x/(x**(-13)*x))/x**(-3/5)*(x/(x*x**(-4)))**(-1/21) assuming x is positive. x**(1408/105) Simplify s*s**4*s**15*s**(2/5)*s*s/s**2 assuming s is positive. s**(102/5) Simplify (((((((h*h**(-2/71))/h*h)/h)/h)/h)/h)/h)/h**(-2)*h**(-3/4)*h*h/(h*h**(-33)) assuming h is positive. h**(8867/284) Simplify (r/r**(-3/5)*r*r**(-2/9)*r**9*r*r**2)**(-5/6) assuming r is positive. r**(-647/54) Simplify c**(-12)*c/c**(2/23)*(c**(-2/9)*c*c*c)**(8/9) assuming c is positive. c**(-16055/1863) Simplify (r**(-5)*r*r**0)/(r**(-4)*r/(r*r**(1/18)/r)) assuming r is positive. r**(-17/18) Simplify ((c/c**(2/7))/(c/(c**9/c)))**(-49) assuming c is positive. c**(-378) Simplify (p**4*p**(1/4))/(p**(-1))**(-31) assuming p is positive. p**(-107/4) Simplify (b**(-5))**(-9)*(b**(-8))**(-8/17) assuming b is positive. b**(829/17) Simplify v*v*v/v**(-6/11)*v*v*v**11*v*(v**(-3)*v)/v**13 assuming v is positive. v**(28/11) Simplify ((((((c**(-3/7)/c)/c)/c)/c)/c*c**7)/((c/c**(-3/8))/c**7))**(-1/41) assuming c is positive. c**(-403/2296) Simplify (v*v**(1/4)*v*v*v**3*v*v*(v/(v*v**(-6)/v))/(v*v/(v/v**(-2/9)*v)))**(-4/7) assuming v is positive. v**(-557/63) Simplify (l/l**(24/11))/l**(2/9)*(l**(-26))**8 assuming l is positive. l**(-20731/99) Simplify (r**(-16)/r**3)**18 assuming r is positive. r**(-342) Simplify (((y/(y**(-1/3)*y))/y)/(((y**(1/9)/y)/y)/y))/(y**(1/4)*y*(y*y/y**(-3/8))/y) assuming y is positive. y**(-29/72) Simplify f/(f**(-8/11)*f)*f/f**(5/3)*f*(f/f**(-24))/(f/(((f/((f/f**(-7))/f))/f)/f)) assuming f is positive. f**(563/33) Simplify (k**(2/13))**(1/11)*(k**(-1/13)/k)**21 assuming k is positive. k**(-3232/143) Simplify v**(-1/19)/(v/((v**(3/20)*v*v)/v))*(v*v/(v*v**(2/3)))/v**(-2/13) assuming v is positive. v**(8663/14820) Simplify (((q**(-2/27)/q)/q*q**(-5))**29)**32 assuming q is positive. q**(-177248/27) Simplify ((j**(1/9)/j)/j)**(7/6)*(j**(-6)*j*j)/(j*(j**(-2/9)*j)/j) assuming j is positive. j**(-377/54) Simplify (y**6/(y**(-2/11)*y)*y/y**(-6/11)*y/(y*y*y**(-2/3)*y)*y*y)**(-11) assuming y is positive. y**(-244/3) Simplify (k**(-16)*k/(k*(k/(k/(k/(k/k**(-19)*k))))/k))/((k**(10/7)*k)/(k*k*k**4)) assuming k is positive. k**(60/7) Simplify (l**1/l)**8*l**10/(l*(l**(-1/5)*l)/l) assuming l is positive. l**(46/5) Simplify (((((((q/(q/(q**(3/2)/q)))/q*q)/q)/q)/q)**46)**(6/17))**(-1/39) assuming q is positive. q**(230/221) Simplify (j**(1/18))**(-1/8)/(j/(j*j**(7/3))*j*j**10*j*j) assuming j is positive. j**(-1537/144) Simplify (h**(-4/3)*h*h**2*(((h/h**(2/5))/h)/h)**(3/20))**17 assuming h is positive. h**(7429/300) Simplify (b**(-2/11))**36/(b*b**(-1/17)*b)**48 assuming b is positive. b**(-18648/187) Simplify (g**7)**(-4/25)*g**21/(g**(-1/3)*g) assuming g is positive. g**(1441/75) Simplify (a/(a**(-23)*a)*a/a**21)/(a**(-3/4)*(a*a/(a**(-10)/a)*a)/a) assuming a is positive. a**(-37/4) Simplify ((d**(-4)/d)/d**(-12))/(d**0)**(-20) assuming d is positive. d**7 Simplify (x**(-1/6)/(x/(x**10*x)))/(x**(-3/10)/x*x/(x**18/x*x)) assuming x is positive. x**(422/15) Simplify (t**6/t**(-11))/((t**(-4/9)/t)/(t**(-11)/
{ "pile_set_name": "DM Mathematics" }
+ 6/(-10) + 1. Suppose -5*o = 13 + 7. Which is the closest to d? (a) -5 (b) 0.5 (c) o b Suppose -5*t + 23 = 2*s + 5, -3*t - s = -10. Let d = 1.3 - 0.3. Let z = d - 1.2. Which is the nearest to -1? (a) t (b) z (c) -5 b Let x = 94.95 - 97. Let z = x - -2. Let q = z + 0.35. Which is the closest to -1/4? (a) q (b) -2/9 (c) -0.3 b Suppose 27 = -4*i + 23. Which is the closest to i? (a) -5 (b) 5 (c) 2 c Let u = -24.7 - -25. Let h be (-5)/(-5) - (-5 - 1). Suppose 3*t - h*t = -20. Which is the closest to 1? (a) 3/2 (b) t (c) u a Suppose 4*k + 0*g = 5*g + 20, 0 = -2*k + 4*g + 16. Which is the nearest to 2/7? (a) k (b) 9 (c) -2/7 a Let t = -2.7 + 3. Let a = 15 - 15. What is the nearest to a in 1, 2/3, t? t Let d be (0 - 0)/(-1 + 2). What is the closest to -2/3 in -3, -2, d? d Let z = -6 + 5. Let p = -2 + 4. Let t(u) = -u**3 + 2*u**2 + 2. Let r be t(p). Which is the closest to -2/7? (a) z (b) -1/5 (c) r b Let u = -0.21 - -0.3. Let p = 0.09 - u. Which is the closest to -0.1? (a) -1/2 (b) p (c) -0.1 c Suppose -9 = -3*i, 2*d + i - 4 = 3. Suppose -3*y - 3*g - 9 = 0, d*g - 6 + 0 = 4*y. Which is the closest to -1? (a) 3/4 (b) 2 (c) y c Let u = -0.017 + 0.017. What is the nearest to 0 in -1/5, 2, u? u Let k = -2 + 2. Let h = 2 - 2.5. Let f = -3.7 + 0.7. What is the closest to k in 0.1, h, f? 0.1 Let n = -52/1559 + 584886/54565. Let a = 52/5 - n. What is the nearest to 1/2 in 0.5, -3, a? 0.5 Let a = -3 - -2.6. Let y = -4.4 - a. What is the nearest to 1/4 in y, 2, 2/5? 2/5 Let b = -1 - -5. What is the closest to 1 in b, -5, 0? 0 Let b = 3/37 - 58/259. What is the nearest to -1 in 1, b, 21? b Suppose -4*q = q. Suppose 3*m - 4*m + 3 = 2*p, 0 = -5*m + 5*p. Which is the nearest to 0.1? (a) -4 (b) q (c) m b Let t = -4.3 - -1.3. Let o = 0.18 + 1.82. What is the nearest to o in 0, 5, t? 0 Let u = -0.11 + 0.21. Let n = -1 + 1.3. Let q = 0.07 - -0.93. Which is the closest to u? (a) q (b) n (c) -5 b Let l = 4 + -7. Let q = -0.79 + 0.4. Let a = q - -0.29. What is the nearest to a in -2, l, 0.4? 0.4 Let j = -4/31 - 42/155. What is the closest to -2 in -1/9, j, 5? j Let q = -15 + 5. Let o = 9.9 + q. Which is the closest to o? (a) 1 (b) -2/7 (c) -1 b Suppose 4*m - 4*o - 32 = 0, o = -2*m + m + 2. Let k be (-56)/(-20) - 4/m. Which is the nearest to 1? (a) -4 (b) k (c) -3/5 b Let z be (0 - 1) + (-15)/(-13). What is the closest to z in 1/3, 0.4, -2? 1/3 Let i = 7 + -12. Let u = 0.5 + -0.4. Which is the nearest to 0? (a) u (b) -2/15 (c) i a Let u = 0.092 + 0.008. Which is the nearest to u? (a) 1.1 (b) -1 (c) -4 a Let d(o) = -o + 4. Let t be d(4). Let v = 16 + -16. What is the nearest to t in -2/7, -0.2, v? v Let m = -0.115 - 0.885. What is the nearest to m in -4/7, 0.5, -1/3? -4/7 Suppose -2*x - 18 = 4*z, -5*z = 2*x + 24 - 1. Let o = z + 8. Which is the nearest to -0.1? (a) 0.4 (b) o (c) -0.1 c Let s = -29 + 25. What is the nearest to -2 in 2/11, -5, s? s Let q = 1.3 - 0.3. Let r = 5 - q. Let n = -3 + r. What is the closest to n in -0.2, 4, 0.4? 0.4 Let x = -0.1 - 0. Let t = 7.9 - x. Let h = t + -5. Which is the closest to 0? (a) h (b) -0.5 (c) 0 c Let i = -47 + 191/4. Let o = -1.3 - -1. Let s = o + -0.2. Which is the closest to -1? (a) s (b) 0.4 (c) i a Let p be (-2)/(-30) - (-12)/(-30). Which is the closest to p? (a) 2/5 (b) 0.5 (c) -3 a Let d = 0.01 - -2.99. Let m = 34 - 34.4. Which is the closest to -1? (a) d (b) m (c) -3 b Let y = -41.06 - -41. Let v = -0.1 - -0.14. Let d = v - y. Which is the nearest to d? (a) -1 (b) 0.2 (c) 4 b Suppose 0 = -m + 5*z - 4 + 3, 5*m + 5 = 4*z. Which is the nearest to m? (a) 0 (b) 5 (c) 3 a Let r = -0.04 - 0.96. Let z = 0.5 + r. Which is the closest to -2/7? (a) -2/19 (b) z (c) 3 a Let x = -0.3 - 1.7. Let i be (-38)/(-8) + (-3)/(-12). Suppose 5*c + i - 10 = 0. What is the nearest to c in -0.1, x, 3? -0.1 Let x = 5 - 5.1. What is the nearest to 2 in 1/4, -5, x? 1/4 Let t = -3 - -8. What is the closest to -2 in -0.05, t, 2? -0.05 Let d be ((-6)/(-16))/(3/2). Let t(l) be the first derivative of -l**3/3 - 7*l**2 - 15*l + 5. Let m be t(-13). What is the closest to d in 5, -0.2, m? -0.2 Let g = -1 + 0.9. What is the nearest to -0.2 in 0.4, 2/19, g? g Let t = 1.7 + 5.3. Let x = t + -10. What is the closest to 1 in -5, x, -2? -2 Let y be (-3)/6 + (-6)/(-8). Let r be -1 + 1 + 6 - 1. Let k = -2/77 + -65/462. Which is the nearest to y? (a) k (b) -0.2 (c) r a Let n be 2/14 - (-27)/63. Let j = -3/17 - 45/34. Let o = 1 + -1. What is the closest to o in j, -2/11, n? -2/11 Let g = 5 - 5.2. Suppose 3*f + 4*q = 2*q - 1, 4*q = -8. Let l be ((-1)/(-4))/(f/4). Which is the nearest to l? (a) -1/2 (b) g (c) 0.2 c Suppose 3*y - 2*y = 6. Let v(l) = y - 15*l + 7*l**2 + 21*l - l**2 - l**3. Let u be v(7). Which is the closest to u? (a) 1 (b) -0.4 (c) -5 b Let n be 2/(-6) - (-4)/(-15). Suppose 3*j + 33 = -3*m, -j + 14 = -2*j + 2*m. Let d = 8 + j. Which is the closest to 0.2? (a) d (b) n (c) -5 b Let l = 14 - -3. Let a = l + -9. Let v = 7.9 - a. What is the closest to v in 5, -0.1, 0.1? -0.1 Let o be 14/5 + (-4)/(-20). Suppose -r = o*a + 10, -2*r = -a - r - 2. What is the nearest to 0 in 1, a, 4? 1 Let n be (-3)/(-6)*((-18)/(-3))/3. What is the closest to n in 14/9, 0.4, -1/3? 14/9 Let l(r) = -r**3 - 2*r**2 - r + 4. Let g be l(0). What is the nearest to 1 in g, -0.8, -0.5? -0.5 Let l = -3 + 9. Let a = l - 2. What is the nearest to 0 in -3, -1/2, a? -1/2 Let b be (-27)/72*8/18. Let j = 2 + -2. What is the nearest to j in b, -1/4, 5? b Let q = 7 - 5.8. Let g = q + -0.2. Suppose 2*u + 6*u - 8 = 0. Which is the nearest to g? (a) u (b) 2/13 (c) 4/5 a Let m be (4/(-12))/(4/(-24)). What is the nearest to -0.2 in m, 2/5, -4? 2/5 Let u = -1 + -2. Let x = -2.96 - u. Which is the nearest to 0.1? (a) -0.3 (b) 3 (c) x c Let f = 78 - 388/5. Which is the nearest to f? (a) -1/6 (b) 0.3 (c) 3 b Let u = -5 - 3. Let x = -9 - u. What is the nearest to 0.1 in 5, -3/2, x? x Let y = 0.177 - -0.123. Which is the nearest to -2/5? (a) y (b) 2/7 (c) 2/5 b Let m be (21/28)/((-54)/16). Let v = -14 + 14. What is the nearest to -0.3 in v, m, -5? m Let c = -29.9 + 30. What is the closest to -3 in 3, -0.2, c? -0.2 Let f = -6.12 - -0.12. Let h = f - -6.5. Let t be 5/(-42) - (-2)/7. Which is the closest to 0? (a) h (b) -0.2 (c) t c Suppose -5*d - 3*j = -4*d - 6, 8 = 4*j. Let i be (1/(-3))/(3/(-18)). Which is the nearest to d? (a) i (b) -1/3 (c) -3 b Let z be 12/3*2/(-4) + -3. What is the nearest to 2/7 in 2, 0.25, z? 0.25 Let t = 0.1 + 7.9. Let o = t + -7.8. Let x = o + 0.1. What is the closest to 1/2 in x, -1, 4? x Let o = 0.2 - 0.5. Let t be (-2)/(-2*4 + 1). Let m be 3 + -3 + (1 - -3). Which is the nearest to t? (a) 2 (b) o (c) m b Let s = -0.9 - -1.6. Let y = 0.3 + s. Let f = y - 2. What is the closest to f in 0, -0.5, -4? -0.5 Let d = -0.173 - -0.573. Suppose 4 = -2*t - 6. Which is the nearest to 0.1? (a) -3 (b) d (c) t b Let i = -0.17 + 0.27. Suppose y - 2 = 3*y. Which is the closest to 0.1? (a) y (b) 4 (c) i c Let x be 1 - ((-75)/(-27) - 2). What is the closest to -4 in -4, x, -2/5? -4 Let t = 6 + -1. Let v = 10 - t. Which is the closest to 0.1? (a) 4 (b) v (c) -5 a Let i = 87/95 - 6/19. Let g = -7 - -10. Let h be 1/14*(-12)/g. What is the nearest to h in i, -1/10, -1? -1/10 Let w = -12 + 27/2. Which is the nearest to 0.1? (a) 0.4 (b) -2/3 (c) w a Suppose -l + 4 = i + 22, 4 = -l. What is the closest to 1/4 in -0.2, i, -5? -0.2 Let t be (-26)/(-18) + 0 + -1. Suppose -3*x - 5 = 4, -2*z + 20 = -4*x. Suppose z*u = 3*u - 3. What is the closest to t in u, 0.2, 2/3? 2/3 Suppose -8 = -5*g - 3. Which is the nearest to g? (a) -0.1 (b) 1/5 (c) 0.4 c Let f = 35 - 34.6. Which is the nearest to 0.4? (a) f (b) -1/4 (c) 0.3 a Let x = -0.14 + -5.86. Let w = 3 - 19/7. Which is the nearest to w? (a) 1 (b) -2 (c) x a Let h = 10.1 + -10. What is the nearest to h in -0.4, -3/7, 3? -0.4 Let s = -1.94 - -2. Let p = -0.36 + s. What is the closest to -0.1 in p, 0.4, -5? p Let o(b) = b**3 + b**2 + 3. Let j be o(0). What is the nearest to 0 in j, 1/11, 0? 0 Let l = 64 - 66. Which is the closest to -2/3? (a) l (b) 2/9 (c) 4 b Suppose 4 - 10 = 3*u. Let v be 0/(-1) + 4/14. Let p be (-2)/(-4)*(-2)/(-5). What
{ "pile_set_name": "DM Mathematics" }
+ 0*k)*(-k**4 + k**4 + k**4) + (31 + 3 - 11)*(k**5 - 1 + 1). 19*k**5 - 2*k**4 Expand (x**4 - 2*x**4 + 2*x**4)*(-54 - 20 - 17). -91*x**4 Expand (-9*o - 21*o + 44*o)*(504 - 7*o**4 - 504). -98*o**5 Expand (9*c**2 - 25*c + 25*c)*(4*c + 3*c**2 - 4*c)*(-39 + 17 + 18). -108*c**4 Expand (-2 + 3 + 1)*(n**3 - 3*n**3 + 3*n**3) + (3 + 15*n - 3)*(-5 + n**2 + 5). 17*n**3 Expand (-15 + 6 - 4)*(t**5 + 0*t**5 + 0*t**5) + (t**4 + t**4 + 0*t**4)*(-2 - t + 5 + 8*t). t**5 + 6*t**4 Expand 4*j**4 - 5*j**4 + 3*j**4 + (-3*j**2 + 2*j**2 + 3*j**2)*(-2*j**2 + 3*j**2 + 3*j**2) + j**3 + 3*j**4 - j**3 + (-4*j + 4*j + 5*j)*(5*j**2 - j**3 - 5*j**2). 8*j**4 Expand (-40*z - 58*z - 64*z)*(z**2 - z**2 + 2*z**2). -324*z**3 Expand (-1 + 1 - 2)*(-q**3 + 2*q**3 - 6*q**3) + 20*q**3 + 19*q**3 + 5*q**3 - q**2. 54*q**3 - q**2 Expand (-1 + f - 2*f + 4*f)*(f**2 - 5*f**2 + 3*f**2)*(-4 - 16*f + 4). 48*f**4 - 16*f**3 Expand -208*q - 616*q - 590*q + (-3 - 2 + 4)*(0 + 0 + q). -1415*q Expand 3*j - 3*j - 4*j**4 + 2*j**2 + (-2*j**2 + 4*j**2 - 8*j**2)*(57 - 57 + 12*j**2). -76*j**4 + 2*j**2 Expand (3*h**3 - 3*h**3 + h**3)*(0*h + 0*h + 4*h**2) - 92*h**2 - 9*h**5 + 56*h**5 + 93*h**2. 51*h**5 + h**2 Expand -3*b**2 + 2 - 2 - 30*b - 5*b**2 + 30*b + (4*b**2 - b**2 - b**2)*(1 - 6 + 4). -10*b**2 Expand ((-1 - 1 + 0)*(1 - 1 - r) - r - 2*r + 5*r + 3*r - 3*r - 2*r + 0*r + 2*r + 0*r + r - 3 + 3 + 0*r - 3*r + 5*r + (2*r - r - 4*r)*(-3 - 1 + 5))*(0 - 2 + 0). -8*r Expand (15 - 1 + 2)*(3 + 23 + 24*r**3 - 23*r**3). 16*r**3 + 416 Expand (g + 5*g - 4*g)*(1 - 4 + 6 - 2*g)*(-2*g**2 - g**2 - 11*g**2 - 3*g**2 + 3*g**2 + 3*g**2 + (g**2 + 1 - 1)*(3 + 0 - 1)). 36*g**4 - 54*g**3 Expand (4 - 2 - 4)*(q - 2*q - 3*q)*(0 - 4 + 2)*(2 - 12 - 11). 336*q Expand (240*z**2 + 398*z**2 + 15*z + 16*z - 31*z)*(0*z + 0*z + 2*z**2). 1276*z**4 Expand 2*q**2 - 2*q**2 - 3*q**2 + (-9*q - 4*q + 3*q)*(-9*q - 13*q + 16*q). 57*q**2 Expand (0 - 4 + 3)*(156*r - 1 + 3 - 136*r). -20*r - 2 Expand (1 + 2 - 1)*(-2 + 2 + 5*d)*(2*d - d - 2*d + (2*d + d - 5*d)*(0 + 4 - 2) - 4*d + 4*d - d). -60*d**2 Expand 4*f**2 - 2*f**2 - 4*f**2 + (5*f + 0*f - 3*f)*(0*f - f + 0*f) - 133*f + 133*f - f**2 - 3*f**2 + 4 - 4. -8*f**2 Expand (0*z**3 - z**3 + 2*z**3)*(5 - 3 - 3)*(37 - 36 + 6*z - 13*z). 7*z**4 - z**3 Expand (0*y**4 - y**4 - 1000*y**2 + 974*y**2)*(4 - 4 - 6). 6*y**4 + 156*y**2 Expand (u**3 - 6*u**3 + 3*u**3)*(-17*u + 193*u + 217*u) + (-u**3 + 2*u**3 + 0*u**3)*(2*u - 6*u + 2*u). -788*u**4 Expand (-11*m**5 + 2*m - 2*m + 3*m**5 + m**4 - m**4 + (2*m - 2*m - 2*m)*(4*m**4 - 2*m**4 - 3*m**4) + m**4 - 4*m**5 - m**4)*(2 - 5 + 4). -10*m**5 Expand 831*g**4 + 3*g**2 - 22*g**5 - 831*g**4 + (-g**4 + 2 - 2)*(g + 4*g - 3*g). -24*g**5 + 3*g**2 Expand 2879*w**2 - 2879*w**2 - 193*w**4 + w**3 + w**4 - w**3 + (-2*w**2 + 2*w**2 - 2*w**2)*(w**2 - 3*w**2 + 3*w**2). -194*w**4 Expand (-o + 2 - 2)*(1 - 1 - 4)*(-3 + 2*o**4 + 3) + o**5 + 3*o**5 - 2*o**5. 10*o**5 Expand (-1 + 0 - 1)*(2*v - 2*v - v**3 + (v**2 - 2 + 2)*(3*v + 2*v - 2*v)) + 3 - 3 - 5*v**3 + (-1 + 0 - 1)*(4 - 4 - v**3). -7*v**3 Expand (7 + 338 - 34 + 280)*(-2 + 4 + 1)*(0*f + 0*f + 2*f). 3546*f Expand (-51*c - 52*c + 83*c)*(c - c + c)*(c - 3*c + 3*c). -20*c**3 Expand (544*s + 10*s**3 - 544*s)*(-5 + 3 + s - 2). 10*s**4 - 40*s**3 Expand -3*s**2 - 2*s**3 + 3*s**2 - 2*s**3 - 5*s + 5*s - 2*s**3 + 4*s**3 + 0*s**3 + (-1 + 1 + 2*s)*(0*s + 2*s**2 + 0*s) + 2*s**3 - 13*s**2 + 1 - 473*s + 473*s. 4*s**3 - 13*s**2 + 1 Expand -83*c**4 - 55 + 55 + (-3*c**4 - 3*c**4 + 4*c**4)*(0 - 3 + 1) + c**4 - 2*c**4 + 2*c**4. -78*c**4 Expand (2*v**2 - 2*v**2 + 17*v**2)*(2 - 5 - 1)*(3*v + v - 5*v)*(-4 - 2 + 5). -68*v**3 Expand (0*z**5 + 2*z**5 - 4*z**5)*(2 - 2 + 1) + 28 + 778*z**5 - 11 - 17. 776*z**5 Expand (-63 + 32 + 17 + 590)*(w**2 + 0*w**2 + 0*w**2). 576*w**2 Expand -3*p**2 + 0*p**2 - 4*p**2 + (-p - p + 0*p)*(0*p - 2*p + 0*p) - 2 - p**2 + 2*p - p**2 + 8*p**2. 3*p**2 + 2*p - 2 Expand k**2 + 1 - 1 + k**2 - 4 + 4 - 2*k**2 - 3*k**2 + 3*k**2 + (-k**2 + 4 - 4)*(2 - 3 + 2) - 5*k**2 + 2*k**2 + 2*k**2 + 481 - 1359*k**2 - 961 + 480. -1361*k**2 Expand (8*f - 19*f + 19*f)*(3*f - 5*f - f)*(-1 + 1 - f). 24*f**3 Expand (0*m + 3*m - 4*m)*(2*m - 264 + 0*m + 287). -2*m**2 - 23*m Expand -v**4 + v**2 - v**2 + (-3*v**4 + v**4 + 0*v**4)*(3 + 2 - 6) - 7*v**4 + 7*v**4 + 10*v**4. 11*v**4 Expand (4*i**2 + 1 - 1)*(-2*i**2 - i**2 + 2*i**2) + 3*i**4 + 3*i**4 - 5*i**4 + (2*i - i - 2*i)*(5*i**3 + 0 + 0) - 3*i**3 + 3*i**3 + 2*i**4. -6*i**4 Expand (2*u - 6*u + 2*u)*(-1787*u**2 + 5217045 - 5217045) + u**3 + 3*u**3 - 3*u**3. 3575*u**3 Expand (2*o**2 - 8*o**2 - 2*o + 22*o**2)*(-9*o - 4 + 4) + 0*o + 2*o**3 + 0*o + (-6*o + o + 3*o)*(o**2 - 3*o**2 + 4*o**2). -146*o**3 + 18*o**2 Expand (-2 - 2 + 3)*(3*y**2 - 4*y**2 - 2*y**2) + 4*y**2 - 5*y**2 + 4*y**2 - 2*y**2 + 8 - 8. 4*y**2 Expand (69 + 13*c - 69)*(c**2 + 3*c**2 + 0*c**2)*(c - c + 2*c). 104*c**4 Expand (-2*t - t + t + (2*t - t - 3*t)*(5 - 1 - 1))*(9699*t + 9701*t - 29 - 19411*t). 88*t**2 + 232*t Expand -165*k**2 + 41*k**3 + 165*k**2 - 19*k**3 + 12 + (-1 - k**2 + 1)*(2*k - 4*k + 0*k). 24*k**3 + 12 Expand (-69*b**2 + 161*b**2 + 130*b**2)*(0 + 3 - 2). 222*b**2 Expand (2 - 2 - 1)*(0*p + 0*p + 2*p)*((1 - 2 + 3)*(1 - 3 + 3) + 2 + 3 - 6 - 1 + 0 + 2 + 0 - 5 + 0). 6*p Expand ((2*o**2 + 0*o + 0*o)*(-2 + o + 2 - 1) + (-5*o + o + 6*o)*(-o + o - 2*o**2))*(-35*o - 59*o + 7*o). 174*o**4 + 174*o**3 Expand 20*p - 20*p + 2*p**4 + (-2 + 2 + 1)*(60*p**3 + 2*p**4 - 59*p**3 + 14*p**4) + (4*p - p - 4*p)*(-4*p**3 + p**3 + 2*p**3). 19*p**4 + p**3 Expand -3*v**3 + 0*v**3 + 2*v**3 + 2*v**3 + v**3 - 8*v**3 + (0*v - 2*v + 0*v)*(0*v**2 + 4*v**2 - 2*v**2) - 3*v**3 - 4*v**3 + 5*v**3 + 2*v**3 - 4*v**3 + 0*v**3. -14*v**3 Expand (3*t - 4*t + 2*t)*(-t**4 - 3*t**4 + 5*t**4) + (-5*t + 1 - 1)*(0*t**3 + 3*t**3 - 5*t**3)*(0 + 3*t + 0). 31*t**5 Expand (-8*k - 4*k + 3*k)*(k**4 - k**3 + k**3) + (0*k**3 - 2*k**3 + k**3)*(-12*k - 7*k**2 + 12*k) + 3*k**5 - 3*k**3 - 17*k**2 + 17*k**2. k**5 - 3*k**3 Expand (6*x**2 - 4*x**2 + 0*x**2)*(3 + 4*x - 3)*(0 + 2*x + 0 + 4). 16*x**4 + 32*x**3 Expand (4*i - 13*i - 9*i)*(5 - 1 - 12)*(0 - 2 + 0). -288*i Expand (-5 + 0*m - 4*m + 6*m + (-4 + 2*m + 4)*(-2 + 4 - 1))*(4*m - 4*m + m). 4*m**2 - 5*m Expand (1 - 1 + g)*(-g + 2*g + g) + 3*g**2 + 6 - 6 - 48*g**2 - 728 + 728 + 5*g**2 + g**2 - 4*g**2 + (4*g**2 - 6*g**2 + 4*g**2)*(-4 - 1 + 3) - g**2 + 2*g - 2*g. -46*g**2 Expand -1 + 1 - o + (-2 - 2 + 3)*(102 - 102 + 10*o) - o - o + 8*o. -5*o Expand (0 + 0 + l)*(1 - 1 + 1) + (-26*l + 33*l + 54*l)*(2 - 1 + 1). 123*l Expand z**5 - 2*z**5 + 5*z**5 + z**5 - 12*z**5 - 6*z**5 - 2*z**5 + 0*z**5 + 0*z**5 + 2*z**5 + 2*z**5 - 5*z**5 + (2*z - 5*z + z)*(-z**4 + 4*z**4 - 2*z**4). -18*z**5 Expand (48 + 71 - 5 - 1)*(-3 + 3 + l). 113*l Expand (f + f - 3*f)*(0 + 0 + 2)*(-3*f**2 + f**2 + 4*f**2) + (1 - 2 + 11)*(-f**3 + 0*f**2 + 0*f**2). -14*f**3 Expand (-4*k**2 + 4*k**2 + 2*k**3)*(0 + 0 - k) + (2*k**2 - 4*k**2 + 0*k**2)*(-2367 + 159*k**2 + 2367). -320*k**4 Expand -1 + 1 + a + (3 - 3 + 1)*(-a + 5*a + a) + (2 + 2 - 3)*(-2*a - 1 + 1) + 4*a - 3*a + 3*a. 8*a Expand (6*q**2 - 2*q**2 - 2*q**2 + (q - q + 2*q)*(3*q + 0*q - 2*q) - 2*q**2 - 3*q**2 + 4*q**2)*(2*q**3 - 21*q**3 + 3*q**3). -48*q**5 Expand -4*m + 2*m + 0*m + 6*m - 2*m - 2*m + (4*m - 4*m - 2*m)*(4 - 2 + 1) + 0*m - m + 0*m. -7*m Expand (-2*n**2 + n**2 + 2*n**2)*(-3*n + 5*n - 4*n) - 10*n**3 + 11*n**3 + 21*n**3. 20*n**3 Expand -25 + 2*q**4 + 25 + (-q - 4*q + 3*q)*(-2 + 2*q + 2)*(-13*q**2 - 19*q**2 + 11*q**2). 86*q**4 Expand (-d**4 + 37*d - 32*d + 59*d**3 - 83*d**3)*(5*d + d - 5*d). -d**5 - 24*d**4 + 5*d**2 Expand 2*m - m - 2*m + (15*m + 5 - 5)*(1 + 1 - 1)*(-7 + 2 + 0)*(-1 + 2 - 3). 149*m Expand (66*o - 21*o + 23*o)*(3*o**3 + 0*o**3 - o**3) + (4 + o**3 - 4)*(2 - 2 - 2*o). 134*o**4 Expand -149*n**3 - 37*n**4 + 36*n**4 + 38*n**3 + (-2 - 2*n + 2)*(2*n**3 + n**3 - n**3). -5*n**4 - 111*n**3 Expand (4 + 1 - 2)*(-7*v**4 + 11*v**4 - 2*v**4 + 53*v**3). 6*v**4 + 159*v**3 Expand -6*q**2 + 2*q**2 + 11*q + 3*q**2 - 3*q**2 + q**2 + q**2 + (1 - 3 + 0)*(1 + 2*q**2 - 1) - 7 + 7 + 2*q**2 - 29*q**2 + 30*q**2 - 33 - 5. -3*q**2 + 11*q - 38 Expand (-b + 9*b - b)*(-7 - 2 + 0)*(-2*b**2 + 0*b**2 + 3*b**4 + 0*b**2). -189*b**5 + 126*b**3 Expand (-4*v**3 + 4*v**3 - 2*v**3)*(-126*v - 48*v - 76*v). 500*v**4 Expand (119*m + 36*m**2 - 119*m)*(8*m - 5*m + 14*m). 612*m**3 Ex
{ "pile_set_name": "DM Mathematics" }
ng 2 j and 1 v. 6/85 Four letters picked without replacement from {s: 6, l: 3, v: 8}. Give prob of picking 3 s and 1 v. 8/119 Three letters picked without replacement from {m: 1, i: 1, w: 4, r: 1, t: 6, h: 2}. Give prob of picking 1 w, 1 r, and 1 m. 4/455 Three letters picked without replacement from {y: 1, c: 2, n: 2, r: 1, q: 1, l: 2}. What is prob of picking 2 n and 1 r? 1/84 What is prob of picking 2 k when two letters picked without replacement from {y: 2, u: 4, k: 2}? 1/28 Two letters picked without replacement from {g: 4, c: 2, k: 4, y: 2, q: 2}. Give prob of picking 1 y and 1 c. 4/91 What is prob of picking 2 m when two letters picked without replacement from {g: 1, m: 12, c: 3}? 11/20 What is prob of picking 1 m and 1 v when two letters picked without replacement from fuutuvuubutfumummuu? 1/57 Four letters picked without replacement from {q: 7, l: 5}. Give prob of picking 4 q. 7/99 What is prob of picking 1 y, 1 t, and 1 q when three letters picked without replacement from {y: 1, t: 1, b: 6, q: 1}? 1/84 Two letters picked without replacement from {r: 1, b: 3, a: 1, f: 2}. What is prob of picking 1 a and 1 b? 1/7 What is prob of picking 1 e and 1 r when two letters picked without replacement from {x: 4, a: 5, r: 1, l: 1, g: 1, e: 1}? 1/78 What is prob of picking 1 y, 1 c, and 1 r when three letters picked without replacement from {r: 1, g: 11, y: 1, t: 2, c: 4}? 4/969 Four letters picked without replacement from quuuququuu. What is prob of picking 2 q and 2 u? 3/10 Two letters picked without replacement from qqqohhalhhhhqqlqa. Give prob of picking 2 a. 1/136 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, m: 10, j: 4}. 1/120 Two letters picked without replacement from {e: 1, j: 11}. What is prob of picking 2 j? 5/6 Two letters picked without replacement from {i: 4, v: 2, m: 7, b: 1, f: 6}. Give prob of picking 1 b and 1 v. 1/95 What is prob of picking 2 v and 1 x when three letters picked without replacement from {h: 1, v: 4, b: 3, g: 1, x: 4, a: 1}? 6/91 Four letters picked without replacement from vvreufvpuevrvf. What is prob of picking 1 u, 2 f, and 1 r? 4/1001 Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 1, l: 1, m: 2, o: 1}. 1/10 What is prob of picking 3 h when three letters picked without replacement from hrzhzxhzzzzzrrzrzzh? 4/969 Calculate prob of picking 2 j and 1 n when three letters picked without replacement from hhjhhnjhjhhnhhhhhh. 1/136 What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 8, w: 2}? 16/45 Calculate prob of picking 2 x when two letters picked without replacement from dxxrdddddxx. 6/55 What is prob of picking 1 j and 1 l when two letters picked without replacement from {q: 1, l: 1, p: 1, g: 1, j: 1}? 1/10 Calculate prob of picking 2 s and 1 f when three letters picked without replacement from {f: 3, s: 3, t: 5}. 3/55 Two letters picked without replacement from clvcwqii. What is prob of picking 2 i? 1/28 What is prob of picking 2 n when two letters picked without replacement from {n: 6, x: 12}? 5/51 Three letters picked without replacement from {x: 1, r: 12, f: 2, u: 4}. Give prob of picking 1 r, 1 f, and 1 x. 8/323 What is prob of picking 1 v, 1 m, and 1 w when three letters picked without replacement from mvvkmvvvkwdv? 3/55 Four letters picked without replacement from {t: 7, y: 1}. What is prob of picking 4 t? 1/2 Two letters picked without replacement from uuwwuwwuueuuweu. What is prob of picking 1 u and 1 w? 8/21 Four letters picked without replacement from {g: 4, u: 2, o: 2, t: 3}. What is prob of picking 1 t and 3 g? 2/55 Three letters picked without replacement from dnsdulndzdun. Give prob of picking 1 l and 2 n. 3/220 Calculate prob of picking 1 z, 1 r, and 2 j when four letters picked without replacement from jrjzjrzr. 9/35 What is prob of picking 3 f and 1 l when four letters picked without replacement from lflfffkfff? 1/3 Three letters picked without replacement from rffaahrfraarraafafa. Give prob of picking 1 h and 2 r. 10/969 Three letters picked without replacement from {h: 2, n: 1, m: 1, j: 1}. What is prob of picking 2 h and 1 j? 1/10 What is prob of picking 1 g, 1 h, 1 q, and 1 m when four letters picked without replacement from {m: 3, g: 9, q: 1, c: 2, h: 2}? 27/1190 Calculate prob of picking 2 n and 2 m when four letters picked without replacement from tmnnnbzmmnmnnggzgn. 7/170 What is prob of picking 2 y when two letters picked without replacement from yyygeygyggggyye? 1/5 Four letters picked without replacement from {g: 2, d: 5, n: 1, j: 1, b: 3, e: 1}. Give prob of picking 1 b, 1 n, and 2 g. 3/715 Two letters picked without replacement from {n: 2, f: 4}. What is prob of picking 2 f? 2/5 Calculate prob of picking 1 i and 1 d when two letters picked without replacement from idaaaaaadxxaa. 1/39 Four letters picked without replacement from {k: 5, y: 2, a: 5, v: 5}. Give prob of picking 2 v and 2 y. 1/238 What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 1, m: 2, c: 2, t: 1, f: 1, x: 1}? 1/14 What is prob of picking 2 e when two letters picked without replacement from {e: 9, z: 3}? 6/11 Two letters picked without replacement from {c: 2, z: 4}. Give prob of picking 1 c and 1 z. 8/15 Three letters picked without replacement from mmmmmymmmwyywmyymmm. Give prob of picking 2 y and 1 m. 40/323 Calculate prob of picking 2 m and 1 p when three letters picked without replacement from tpmtttttttmmtmmmttt. 5/323 What is prob of picking 3 m when three letters picked without replacement from mmmmm? 1 Four letters picked without replacement from vcvvvvvmvmvmvvvmm. Give prob of picking 1 m, 2 v, and 1 c. 55/476 What is prob of picking 1 n, 2 z, and 1 j when four letters picked without replacement from {n: 4, j: 3, z: 9}? 108/455 Calculate prob of picking 1 g and 2 y when three letters picked without replacement from mgqqycgygqmgggmmg. 7/680 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {x: 1, k: 1, j: 1, p: 2, l: 1, q: 2}. 1/14 What is prob of picking 1 l and 2 y when three letters picked without replacement from {l: 7, y: 6}? 105/286 Four letters picked without replacement from xwwlwin. What is prob of picking 1 i, 2 w, and 1 x? 3/35 Four letters picked without replacement from {a: 11, n: 5}. Give prob of picking 4 a. 33/182 What is prob of picking 2 t and 1 q when three letters picked without replacement from {v: 3, q: 4, t: 4, h: 3, x: 3, l: 3}? 2/95 Calculate prob of picking 1 s, 2 a, and 1 z when four letters picked without replacement from aajasazaaszjs. 18/143 Four letters picked without replacement from {k: 2, v: 5}. What is prob of picking 3 v and 1 k? 4/7 Calculate prob of picking 2 r when two letters picked without replacement from {v: 2, z: 1, r: 4}. 2/7 Calculate prob of picking 2 j and 1 m when three letters picked without replacement from mqmhqqjmmqmjm. 3/143 Calculate prob of picking 2 g when two letters picked without replacement from ghgh. 1/6 What is prob of picking 1 e, 1 d, and 2 m when four letters picked without replacement from xdedmm? 2/15 Four letters picked without replacement from {f: 2, t: 1, h: 1, i: 1, a: 1, r: 1}. What is prob of picking 2 f, 1 h, and 1 t? 1/35 Four letters picked without replacement from yyojooyo. What is prob of picking 1 o and 3 y? 2/35 What is prob of picking 1 d and 1 i when two letters picked without replacement from idiiiiiiiiii? 1/6 Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {f: 1, r: 2, w: 2, d: 1, l: 2, c: 1}. 1/9 What is prob of picking 2 a, 1 d, and 1 s when four letters picked without replacement from {r: 1, s: 2, b: 4, d: 1, a: 2}? 1/105 Calculate prob of picking 3 o when three letters picked without replacement from {i: 1, o: 3, r: 1, g: 2}. 1/35 Calculate prob of picking 1 f and 2 w when three letters picked without replacement from uwfuffwuwfuwww. 15/91 Three letters picked without replacement from xexx. What is prob of picking 3 x? 1/4 Two letters picked without replacement from mmmmmmmmhmh. Give prob of picking 1 m and 1 h. 18/55 Two letters picked without replacement from {k: 1, v: 1, x: 6, n:
{ "pile_set_name": "DM Mathematics" }
11460247? False Does 25 divide 448266? False Is 53 a factor of 49265? False Is 180 a factor of 5230620? True Is 54 a factor of 101396? False Is 6 a factor of 2696754? True Is 174454 a multiple of 7? True Is 70273 a multiple of 13? False Is 1061 a multiple of 148? False Does 716 divide 1686752? False Is 20 a factor of 69100? True Is 2128485 a multiple of 289? True Is 38113 a multiple of 7? False Is 223511 a multiple of 5? False Is 237565 a multiple of 45? False Does 30 divide 3593970? True Is 506 a factor of 103224? True Is 26 a factor of 116506? True Is 129 a factor of 84317? False Is 52 a factor of 875329? False Is 5 a factor of 961330? True Is 79251 a multiple of 4? False Does 202 divide 48613? False Is 117 a factor of 17401995? True Is 15287 a multiple of 246? False Is 275775 a multiple of 25? True Does 706 divide 2966612? True Is 8971102 a multiple of 1457? False Is 34 a factor of 1226040? True Is 793728 a multiple of 212? True Is 51 a factor of 12546? True Is 12 a factor of 43368? True Is 250640 a multiple of 26? True Is 13 a factor of 1019243? False Does 85 divide 87523? False Is 848105 a multiple of 94? False Is 1058092 a multiple of 217? True Does 102 divide 325321? False Is 14 a factor of 801561? False Is 10 a factor of 160671? False Is 132168 a multiple of 167? False Is 61398 a multiple of 34? False Is 34 a factor of 596860? False Is 45 a factor of 1172025? True Is 10 a factor of 691623? False Is 494046 a multiple of 14? True Is 135598 a multiple of 10? False Does 30 divide 308023? False Does 260 divide 515507? False Is 904215 a multiple of 195? True Does 805 divide 2695324? False Is 95180 a multiple of 5? True Is 107479 a multiple of 21? False Is 1841556 a multiple of 114? True Is 41 a factor of 19885? True Is 98445 a multiple of 5? True Is 453 a factor of 1819508? False Is 5 a factor of 141328? False Is 1374814 a multiple of 29? False Is 113685 a multiple of 17? False Is 591 a factor of 495258? True Does 75 divide 31070? False Does 35 divide 700? True Does 150 divide 4809000? True Is 13794570 a multiple of 54? True Is 355 a factor of 1935460? True Is 128 a factor of 344064? True Is 4496298 a multiple of 22? False Is 15 a factor of 4140? True Is 70 a factor of 1392090? True Does 19 divide 628605? False Does 30 divide 1366026? False Is 262 a factor of 8019034? True Does 111 divide 3606057? True Does 43 divide 1622221? False Does 12 divide 127716? True Does 65 divide 307783? False Is 383 a factor of 5167819? True Is 542 a factor of 754622? False Is 44 a factor of 8062760? False Is 16659643 a multiple of 1157? True Does 41 divide 73677? True Does 164 divide 190842? False Is 25734 a multiple of 6? True Does 813 divide 27778? False Does 7 divide 180168? False Is 129 a factor of 1474470? True Is 59 a factor of 412468? False Is 43162 a multiple of 72? False Does 58 divide 1061748? True Does 2 divide 251040? True Is 205 a factor of 8136195? False Is 161115 a multiple of 5? True Is 818049 a multiple of 106? False Is 339 a factor of 1680048? False Is 19 a factor of 342212? False Is 4032945 a multiple of 93? True Is 363 a factor of 1908538? False Does 3 divide 5719? False Does 440 divide 199352? False Does 258 divide 229943? False Is 193 a factor of 2181286? True Is 1009836 a multiple of 12? True Does 10 divide 3481502? False Does 20 divide 10820? True Is 148317 a multiple of 369? False Is 10 a factor of 103860? True Is 11 a factor of 693375? False Is 187 a factor of 14140836? False Is 201826 a multiple of 63? False Does 40 divide 107817? False Is 55587 a multiple of 6? False Is 7 a factor of 617792? True Is 17328 a multiple of 16? True Is 10438 a multiple of 27? False Does 91 divide 83777? False Does 1675 divide 27308660? False Does 517 divide 55061? False Does 12 divide 248153? False Is 909 a factor of 7382450? False Is 24 a factor of 1399200? True Is 208 a factor of 211107? False Is 32857 a multiple of 9? False Does 10 divide 293610? True Is 31 a factor of 310931? False Is 52 a factor of 2295688? False Is 139348 a multiple of 11? True Is 81060 a multiple of 70? True Is 2487865 a multiple of 191? False Is 130 a factor of 167967? False Is 249 a factor of 447951? True Is 20810 a multiple of 19? False Is 3171650 a multiple of 458? True Is 25 a factor of 744975? True Is 9839689 a multiple of 391? False Does 202 divide 164855? False Is 227 a factor of 2299737? True Does 37 divide 7635431? True Does 4 divide 37759? False Is 27629 a multiple of 69? False Is 12438580 a multiple of 14? True Does 14 divide 720762? True Is 6 a factor of 726671? False Is 3967960 a multiple of 230? True Is 3638106 even? True Is 16010575 a multiple of 479? True Is 2 a factor of 29139? False Does 12 divide 105864? True Does 3 divide 16466? False Is 124 a factor of 3240? False Does 169 divide 184645? False Does 26 divide 109193? False Is 15 a factor of 13938735? True Does 15 divide 49868? False Does 6 divide 485112? True Is 3991621 a multiple of 101? True Is 60048 a multiple of 432? True Is 34 a factor of 1546898? True Is 239220 a multiple of 6? True Is 58 a factor of 970108? True Is 700566 a multiple of 118? True Is 216598 a multiple of 43? False Is 4346843 a multiple of 17? False Does 26 divide 725790? True Is 12 a factor of 2968426? False Is 422350 a multiple of 146? False Does 1130 divide 5300817? False Does 2 divide 20747? False Is 138 a factor of 6190956? True Does 244 divide 1112970? False Does 22 divide 793303? False Is 367 a factor of 3046834? True Is 548 a factor of 1072436? True Does 14 divide 67371? False Is 70350 a multiple of 30? True Is 481 a factor of 82251? True Does 70 divide 9905039? False Does 40 divide 597119? False Does 62 divide 1597120? True Is 1077 a factor of 4018287? True Does 225 divide 323536? False Does 24 divide 2386848? True Is 6281964 a multiple of 156? True Is 294 a factor of 10582282? False Is 1546904 a multiple of 23? False Is 3103065 a multiple of 15? True Does 400 divide 2302065? False Does 105 divide 688737? False Is 386 a factor of 1581442? True Does 8 divide 13708066? False Is 36748 a multiple of 27? False Does 303 divide 69177? False Is 101669 a multiple of 19? True Is 1575612 a multiple of 243? True Does 12 divide 95146? False Does 12 divide 387773? False Is 501 a factor of 5859195? True Does 5 divide 39695? True Is 47 a factor of 337653? False Does 1032 divide 1228080? True Is 8596 a multiple of 7? True Is 22548924 a multiple of 1356? True Does 7 divide 133199? False Is 118135 a multiple of 13? False Is 1363809 a multiple of 41? False Is 140408 a multiple of 8? True Is 1433360 a multiple of 164? True Is 7 a factor of 1120077? True Is 3349166 a multiple of 74? True Does 17 divide 3806827? True Does 205 divide 2695953? False Is 95706 a multiple of 26? True Does 126 divide 44352? True Does 73 divide 159152? False Is 20 a factor of 155942? False Is 63280 a multiple of 20? True Does 323 divide 768094? True Does 52 divide 290949? False Is 320234 a multiple of 167? False Is 310 a factor of 31930? True Is 110 a factor of 15149? False Does 27 divide 14138? False Does 14 divide 206563? False Is 30227 a multiple of 309? False Is 6391084 a multiple of 74? True Is 14919 a multiple of 14? False Is 281 a factor of 894423? True Is 29454 a multiple of 7? False Is 162570 a multiple of 9? False Does 26 divide 190216? True Is 282 a factor of 4984914? True Does 5 divide 145785? True Does 60 divide 116319? False Does 221 divide 1074831? False Is 7 a factor of 39648? True Is 264709 a multiple of 33? False Is 130 a factor of 79820? True Does 380 divide 156526? False Is 21 a factor of 2160249? True Is 7 a factor of 127666? True Does 54 divide 220914? True Does 21 divide 27846? True Is 2224365 a multiple of 793? True Does 13 divide 56589? True Is 648102 a multiple of 14? True Is 19804 a multiple of 2? True Is 117 a factor of 58617? True Is 80 a factor of 53120? True Is 50 a factor of 3368000? True Does 6 divide 14226737? False Is 65 a factor of 114977? False Is 3491302 a multiple of 167? True Is 13 a factor of 4437303? True Does 162 divide 2908709? False Does 150 divide 138900? True Is 261847 a multiple of 5? False Does 31 divide 441814? False Does 21 divide 131061? True Is 143 a factor of 46189? True Is 44240 a multiple of 35? True Is 21 a factor of
{ "pile_set_name": "DM Mathematics" }
rst derivative of 28/5*p**5 + 23 + 0*p**4 + 0*p**2 + 0*p**b + 27*p. What is the derivative of n(u) wrt u? 112*u**3 What is the third derivative of 59*n**3 + 5*n**3 + 1493*n**2 + 0*n**3 - 343*n**2 + 89*n**3 wrt n? 918 Let l(i) be the first derivative of -564*i**5/5 + i**4/4 + 4*i**3/3 + 34*i**2 + 455. Find the third derivative of l(s) wrt s. -13536*s + 6 Let m(j) = -j**2 - 13*j - 12. Let u be (-14)/(-161) + 144/(-69). Let f(k) = -14*k - 9. Let c(d) = u*m(d) + 3*f(d). Find the first derivative of c(p) wrt p. 4*p - 16 Suppose -33*f = -29*f - 140. Suppose -f + 11 = -6*p. Find the third derivative of -4*g**3 - 3*g**2 + 8*g**3 - p*g**3 - g**4 wrt g. -24*g Let d(g) be the first derivative of -496*g**2 - 5889*g + 990. Differentiate d(l) wrt l. -992 Let r be ((-12)/(-45)*-3)/(1/(-15)). Suppose 5*j - 1 = -4*k + 33, -3*k - r = 0. Differentiate 16*z + j*z + 12 - 44*z + 11*z wrt z. -7 Suppose 0 = 7*a - 2*a - 10. Let u(b) be the first derivative of -45 + 44 + 7*b**a - b**3 - 6*b**3. Find the second derivative of u(t) wrt t. -42 Suppose 5*i + 175 = 5*o, 4*i + 8 = -0*i. Differentiate o*s - 62*s + 126 - 66*s with respect to s. -95 Let h(b) be the first derivative of -9 - 77/2*b**2 - 93*b - 1/3*b**3. Find the first derivative of h(g) wrt g. -2*g - 77 Suppose 4*o - 296 = 188. What is the second derivative of 121*n**4 - 5*n**5 - o*n**4 + 19*n - 7*n**3 wrt n? -100*n**3 - 42*n Let j = 20 - 6. Let z(w) be the second derivative of -j*w**2 - 17*w + 970 - 970 - w**4. What is the first derivative of z(v) wrt v? -24*v Let i(r) = -3*r**3 - 2*r**2 + 3*r + 1. Let q(v) = -1527*v**3 - 711*v**2 - 6*v - 4. Let s(m) = 2*i(m) + q(m). What is the third derivative of s(y) wrt y? -9198 Suppose 2*a - 24 = -4*a. Suppose 3*k = -2*s + 11, -2*s - 3 = -3*k + a. What is the third derivative of 28*r**k + 118*r**2 - 124*r**2 - 9*r**3 wrt r? 114 Let y be 1885/117 + -16 - (-34)/18. Let t = -37 - -69. Find the third derivative of t*b**4 - y*b**2 + 8*b**2 - 45*b**4 wrt b. -312*b Let y(m) be the first derivative of -24*m + 0*m**2 + 3/4*m**4 + 8/3*m**3 - 107. Find the first derivative of y(a) wrt a. 9*a**2 + 16*a Let r(k) = -113*k**2 - 6*k - 79. Let o = -339 - -342. Let m(g) = 226*g**2 + 10*g + 159. Let c(q) = o*m(q) + 5*r(q). What is the derivative of c(p) wrt p? 226*p Let y(z) = -43*z**2 - 6*z - 7. Let m(s) = -86*s**2 - 13*s - 13. Suppose 24 - 30 = -k. Let v(x) = k*m(x) - 13*y(x). Find the first derivative of v(g) wrt g. 86*g Let h(l) = -3384*l**3 - 594. Let k(w) = -6763*w**3 - 1188. Let i(n) = 5*h(n) - 2*k(n). What is the derivative of i(m) wrt m? -10182*m**2 Let r(a) be the third derivative of 0 - a**2 - 61*a - 89/24*a**4 - 71/3*a**3. Find the first derivative of r(y) wrt y. -89 Find the second derivative of -26635*y**2 + 14*y**5 - 26599*y**2 + 53194*y**2 - 8375*y wrt y. 280*y**3 - 80 Let k(o) be the third derivative of -17*o**6/60 + o**5/10 + 425*o**3/3 + 566*o**2. Differentiate k(d) with respect to d. -102*d**2 + 12*d Let p(o) = -4886*o**2 + 11*o - 27. Let t(w) = 4888*w**2 - 10*w + 27. Let y(k) = 2*p(k) + 3*t(k). What is the second derivative of y(h) wrt h? 9784 Let y(v) = -59*v - 31. Let c(z) = -54*z - 30. Suppose 4*k + 3 = -3*q - 16, k = 3*q - 1. Let o(i) = k*c(i) + 5*y(i). What is the first derivative of o(l) wrt l? -79 Let r be (-3)/(-15) - (-2247)/(-35). Let q = 68 + r. Find the second derivative of 13*p**4 - 17*p**q - p - 31*p**4 wrt p. -420*p**2 Let l(d) be the first derivative of 3*d**4/4 + 2*d**3 + 5*d**2/2 + d - 1647. What is the second derivative of l(k) wrt k? 18*k + 12 Suppose -3*j - l - 3*l = -62, 0 = -4*j + 5*l + 124. Let d = -22 + j. Find the second derivative of -7*h**4 + 0*h**d - 9*h + 21*h + 7*h wrt h. -84*h**2 Let d(z) = 32*z**2 + 51*z + 794. Let j(f) = -28*f**2 - 50*f - 795. Let y(r) = -5*d(r) - 6*j(r). What is the first derivative of y(a) wrt a? 16*a + 45 Let p(r) be the first derivative of -26*r**5 + 1000*r**3/3 + 2789. Find the third derivative of p(x) wrt x. -3120*x Let f(a) = -4*a**2 - 25. Let i(b) = -1. Let q(o) = o + 2. Let g(t) = -i(t) - q(t). Let l(x) = -f(x) + 4*g(x). What is the derivative of l(r) wrt r? 8*r - 4 Suppose 0 = 3*w - 2*v - 2*v - 268, -3*w + 5*v + 266 = 0. What is the derivative of -34*m + w - 103 - 16*m + m wrt m? -49 Let i = -22476 + 22482. Let g(p) be the third derivative of 11/30*p**5 + i*p**3 + 0*p - 47*p**2 + 0 + 0*p**4. Differentiate g(w) wrt w. 44*w Suppose 0 = 9*a - 4*a - 255. Suppose -3*x - 3*h + a = 0, -2*h + 78 = 4*x - 0*h. Differentiate 10*w**2 + 10*w**2 + x + 0*w**2 + 6 with respect to w. 40*w Let d(w) = 3530*w**3 - 3*w + 10813. Let r(c) = -3528*c**3 + 4*c - 10813. Let s(l) = -4*d(l) - 3*r(l). Differentiate s(t) wrt t. -10608*t**2 Let k = 1 - -24. Suppose -w + 6*w - k = 0. Differentiate 121*b - w - 55*b - 90*b with respect to b. -24 Let t(u) = 82*u**3 + 5*u - 4. Let l be t(1). Find the second derivative of 7*c + l*c**5 + 3*c**5 + 11 - 43*c**3 + 19*c**3 + 24*c**3 wrt c. 1720*c**3 Let w(t) = -1642*t**4 + 2272*t**2 + 21*t - 63. Let n(q) = -2*q**4 - q**2 + q - 3. Let f(a) = 42*n(a) - 2*w(a). Find the third derivative of f(x) wrt x. 76800*x Let q(c) be the second derivative of -172*c**7/21 + c**5/20 - 5*c**3/6 - 93*c**2/2 - 1328*c. Find the second derivative of q(w) wrt w. -6880*w**3 + 6*w Let d be 54/4 - 160/440*-11. Let n(v) be the second derivative of d*v**2 + 5/2*v**3 - 31*v + 0. Find the first derivative of n(k) wrt k. 15 Find the second derivative of -191*o - 208*o + 14*o + 44*o + 853*o**2 - 22*o wrt o. 1706 Let q(n) be the second derivative of 0*n**2 + 0 + 9/14*n**8 - 13/4*n**4 + 0*n**3 + 0*n**6 + 0*n**5 + 0*n**7 + 97*n. Find the third derivative of q(c) wrt c. 4320*c**3 Find the second derivative of -6 + 7*f**2 - 11*f**5 + 134*f**3 + 1543*f - 7*f**2 - 111*f**3 + 5 wrt f. -220*f**3 + 138*f Let j(q) = -q - 1. Let d = 36 - 40. Let n(f) = -64*f**5 - 28*f + 4. Let p(u) = d*j(u) - n(u). What is the second derivative of p(o) wrt o? 1280*o**3 What is the derivative of -28*i**3 + 4870*i**4 - 951*i**4 + 3230 + i**4 + 28*i**3 wrt i? 15680*i**3 Let h = 217 - 171. What is the first derivative of h*r**3 - 102 - 7 + 14 wrt r? 138*r**2 What is the second derivative of 15 - 1703*u - 1299*u**2 + 3461*u - 1820*u wrt u? -2598 Let u(r) = -3*r - 30. Let v be u(-9). Let b be (-8)/(-2) + (v - -1). What is the derivative of -9*h - 2 + b - 1 - 8*h wrt h? -17 Let d = 172 - 169. Find the second derivative of -85*h**d + 77*h + 48*h**3 + 50*h**3 wrt h. 78*h Let d(p) = -9068*p**2 + 8959*p + 5. Let h(g) = 13603*g**2 - 13437*g - 8. Let w(a) = -8*d(a) - 5*h(a). What is the second derivative of w(x) wrt x? 9058 Let v(j) be the first derivative of 51*j**6/10 + 83*j**2 + 52*j - 90. Let f(t) be the first derivative of v(t). Find the first derivative of f(k) wrt k. 612*k**3 Let g(x) = -x + 1. Suppose q = 6*l - l + 11, -3*q - 1 = 2*l. Let d(z) = 57*z + 49. Let r(p) = q*d(p) - 2*g(p). What is the first derivative of r(c) wrt c? 59 Let c(p) = -2399*p**3 + 3318*p**2 - 93*p - 3. Let u(v) = -2*v**3 + 31*v + 1. Let l(n) = -c(n) - 3*u(n). What is the third derivative of l(m) wrt m? 14430 Suppose 222*h + 272 = 256*h. Let f(c) be the third derivative of -11/3*c**3 + 0*c + 25/24*c**4 + h*c**2 + 0. Find the first derivative of f(l) wrt l. 25 Let c be (2/(-2))/((-3)/(48/8)). Find the third derivative of 0 - 25*b**5 - 4 - 771*b**c + 759*b**2 wrt b. -1500*b**2 Suppose 4*m + 5 = -5*b, 13*m - 10*m + 12 = -b. What is the derivative of -b*t**2 + t**2 + 385*t**3 - 383*t**3 + 4*t**2 - 61 wrt t? 6*t**2 + 4*t Let f(p) be the third derivative of -26*p**7/5 - 1172*p**3/3 - 2*p**2 + 47. Find the first derivative of f(x) wrt x. -4368*x**3 Suppose -4*x = q + x - 69, 4*q - 181 = -x. Find the second derivative of 21*l**4 + 8*l**4 + 49*l + q*l - 33*l wrt l. 348*l**2 Let z = -48 - -52. Suppose 3*n + 3 = j, 5 - 1 = z*n. What is the third derivative of 21*i**4 + 20*i**2 - 36*i**4 + 15*i**4 - 18*i**j wrt i? -2160*i**3 Let b(g) be the third derivative of 0 - 13/70*g**7 - 19*g**2 + 0*g**5 - 19/3*g**3 + 0*g + 0*g**6 + 0*g**4. Find the first derivative of b(u) wrt u. -156*u**3 Let a(u) be the third derivative of -17*u**6/15 - u**5/12 + 1729*u**4/24 - 129*u**2. Find the second derivative of a(h) wrt h. -816*h - 10 Let j = 68 - 19. Let t = j - 40. What is the third derivative of 2*r**4 - 2*r**4 - t*r**2 -
{ "pile_set_name": "DM Mathematics" }
ve decimal places. -0.00013 Let u = -3076 + 3076.000001879. What is u rounded to seven decimal places? 0.0000019 Let w = -2.2 + -0.8. Let x = w + 3.2. What is x rounded to one decimal place? 0.2 Let s = 1116.00001521 + -1116. What is s rounded to 7 dps? 0.0000152 Let v(f) = 431*f**3 - 368*f**3 + 1041*f**3 + 1376*f**3. Let u be v(5). What is u rounded to the nearest 100000? 300000 Suppose 7*i = 2*i - 30. Let j(z) = 8*z - 10. Let h be j(i). Round h to the nearest 10. -60 Let r = 2747 + -4702. Let l be (-7 - r/25)*(-50)/(-4). Round l to the nearest one hundred. 900 Suppose -21*y + 1376958 = -844842. What is y rounded to the nearest one thousand? 106000 Let i = 826545007.0000099 - 826544918. Let b = i + -89. Round b to 6 decimal places. 0.00001 Let i = 19425303385 + -19425302595.0000373. Let k = i + -790. What is k rounded to five decimal places? -0.00004 Let r = -24122 + 24118.0086. Let q = 7 - 3. Let t = q + r. What is t rounded to 3 dps? 0.009 Let q(c) be the third derivative of -17*c**6/40 - c**5/60 + c**4/3 + 2*c**3/3 + 8*c**2. Let x be q(6). Round x to the nearest one thousand. -11000 Let p(l) = -l**3 + 2*l**2 + 6*l - 7. Let o be p(3). Let c be -5 + o + 8572/4. Round c to the nearest one hundred. 2100 Let l = 1361.626 + -1369. What is l rounded to 0 dps? -7 Let d = 53 - 49. Let z = 3.9994 - d. Round z to four decimal places. -0.0006 Let r = -153 + 170.6. Round r to the nearest integer. 18 Let c = -0.3032 + 1248.3032. Let o = c - 1292.95. Let p = 44 + o. Round p to one dp. -1 Let p = 10.4 + -21.2. Let z = p - 0.2. Let m = z - -11.00014. Round m to four dps. 0.0001 Let x = -5179.19932 + 5179. Let o = 1.2 - 1. Let w = o + x. Round w to four decimal places. 0.0007 Let f = 18.04 + -18. Let r = f - -21.96. Let c = r - 22.0000046. Round c to six decimal places. -0.000005 Let g = 5338.006 + -5329. Let c = g - 9. Round c to two dps. 0.01 Let r = 0.0524802 - 0.0524. Round r to five decimal places. 0.00008 Let a = 1212 - 1212.0913. Round a to 2 decimal places. -0.09 Let l(s) = 1929956*s - 88. Let r be l(-2). What is r rounded to the nearest 1000000? -4000000 Let h = -71.25 - -6.45. Round h to the nearest 10. -60 Let z = -37 - -22. Let c(n) = 533*n**2 - 6*n - 15. Let v be c(z). What is v rounded to the nearest 100000? 100000 Let n be 4/(-10) + 17411694/485. Round n to the nearest ten thousand. 40000 Let p(v) = v**2 - v + 1180. Let c(q) = -q**2 + 10*q - 21. Let t be c(7). Let w be p(t). Round w to the nearest one hundred. 1200 Let o = -476.000000139 - -476. What is o rounded to seven dps? -0.0000001 Let m = -4.601 + 0.072. Round m to 0 dps. -5 Let b = -11814 - -2325. Let n be 91*(-1 + 356/(-2)). Let c = b - n. What is c rounded to the nearest 1000? 7000 Let u = 3216461 + 67743539. What is u rounded to the nearest one million? 71000000 Let i = -294 - -289.556. Let g = -0.216 + i. Let n = g + 0.56. What is n rounded to zero decimal places? -4 Let n = -14.6 - -25.27. Round n to 1 dp. 10.7 Let c = -1156.765 - -1155. What is c rounded to two decimal places? -1.77 Let d = 3120.7 + -3266. What is d rounded to the nearest ten? -150 Let n = 949 + -493. Let r = n + -228. Suppose 0 = 4*d - 2*j + 7*j + r, 5*d + j + 285 = 0. Round d to the nearest ten. -60 Let x be (-868)/6 + (2 - (-21)/(-9)). Let q be (1 + 7046/(-6))*(x - 5). Round q to the nearest 10000. 180000 Let x = 6973.33068 + -6973. Let w = -0.33 + x. Round w to 4 decimal places. 0.0007 Let p be (-152)/(-7) + 2/7. Let q(k) = k**2. Let w(a) = 116*a**2 + 2*a - 1. Let u(y) = p*q(y) - 2*w(y). Let s be u(3). What is s rounded to the nearest 1000? -2000 Suppose 4*w - 821932 = -0*w. Let z = 134483 - w. What is z rounded to the nearest 10000? -70000 Let y = 1.9 + -71.9. Let u = y - -72.7. What is u rounded to 0 decimal places? 3 Let y = -254085.11294 + 254364.11294262. Let j = -279 + y. What is j rounded to seven dps? 0.0000026 Let d(g) be the third derivative of -1/15*g**5 - 2/3*g**3 + 1/6*g**4 - 9*g**2 + 0*g - 17/120*g**6 + 0. Let a be d(4). Round a to the nearest one hundred. -1100 Let u = -173.00308 - -173. What is u rounded to 4 decimal places? -0.0031 Let f(m) = -178*m**3 - 18*m**2 + 13*m + 8. Let y be f(-24). What is y rounded to the nearest one million? 2000000 Let s = -364 + 198. Let a = 165.9771 + s. What is a rounded to 3 decimal places? -0.023 Suppose -v - c - 12 = 0, -c = v + 2*v + 32. What is v rounded to the nearest ten? -10 Let a be ((-4)/(-3))/((-4)/(-9)). Suppose 2*v - 1979990 = 3*q, -4*v + 436532 = -a*q - 1543448. What is q rounded to the nearest 100000? -700000 Let b(o) = -16*o + 14. Let n be b(-6). Suppose -5*p + n = -0*p. What is p rounded to the nearest 10? 20 Let k be ((-3)/6)/(-1)*2. Suppose 0 = 4*m - 9 + 5, -3*s - 1 = -m. Let t be (k - s) + (3 - -2496). Round t to the nearest 1000. 3000 Let v(b) be the third derivative of -1/6*b**3 + 0*b - b**2 + 0 + 1/24*b**4 - 7/20*b**5. Let m be v(1). What is m rounded to the nearest ten? -20 Let r(y) = -y**3 + 2*y**2 + 2. Let u be r(2). Suppose -j + 2*o + 39206 = -o, -u*j - 4*o = -78392. Round j to the nearest 1000. 39000 Let r = 231.526 - -0.474. Let s = 247.9 - r. Round s to zero decimal places. 16 Let n = 7998.004039 + -7959.00403927. Let p = 39 - n. Round p to 7 dps. 0.0000003 Let p = 205.598797 + -205.6. Round p to 4 decimal places. -0.0012 Let l = 0.29 - 32.29. Let t = l + 32.00012. Round t to five decimal places. 0.00012 Let i = -1111 + 1110.997523. What is i rounded to 3 decimal places? -0.002 Let m = 0.12 + -119.12. Let d = m + 118.45. What is d rounded to one dp? -0.6 Let d = 0.1 + -0.25. Let l = -8452 + 8452.149904. Let j = l + d. Round j to five decimal places. -0.0001 Let s = 355 - -280. Suppose -m - 1225 = s. Round m to the nearest 100. -1900 Let a = -15655653611.4 - -12387400105. Let g = -3268253645.40000059 - a. Let u = g - -139. What is u rounded to 7 dps? -0.0000006 Let z = -4 - -1. Let u = 3 - z. Suppose 11*p = u*p - 430000. Round p to the nearest ten thousand. -90000 Let h = -538.3 + 89.3. Let y = 449.0988 + h. Let v = y + -0.1. What is v rounded to 3 dps? -0.001 Let i = 0.61 - 7.01. Let x = 12 + i. Let m = -5.5907 + x. Round m to three decimal places. 0.009 Let n = 1299.0004536 + -1299. What is n rounded to four dps? 0.0005 Let a = -19 - -29. Suppose 0 = a*x - 9199 - 4701. Round x to the nearest one hundred. 1400 Let d = 55 + -51. Let g be (-3)/d - (-88)/32 - -2558. What is g rounded to the nearest one hundred? 2600 Let c = 7.817 + -3.1. Round c to one dp. 4.7 Let n = -16 - -6. Let z = n + 10.027. What is z rounded to two decimal places? 0.03 Let f = 0.1 - 0.24. Let n = f - 0.04. Let y = 2.28 + n. What is y rounded to the nearest integer? 2 Let w = 2904776893.4 + -2904776710.39999869. Let n = 436 - 619. Let i = w + n. What is i rounded to seven dps? 0.0000013 Let z = -939.99998097 + 940. Round z to 6 dps. 0.000019 Let d = 0.059074 + 173020.940926. Let g = d + -173020.300012. Let i = g + -0.7. Round i to five decimal places. -0.00001 Let m(z) = z**3 - 2*z + 650. Suppose -7*p + 3*p = 0. Let y be m(p). Round y to the nearest 100. 700 Let l = 558 - 558.283. Let k = 0.013 + l. What is k rounded to one dp? -0.3 Let w = -0.0505 - -0.04747. Round w to three decimal places. -0.003 Let n = -113 - -128.7. Let j = n - 15.789. Round j to two dps. -0.09 Suppose 3*z - 2517 = -p, -25*p + 3*z - 7563 = -28*p. Round p to the nearest 10. 2520 Let d = -14429 - -5467. What is d rounded to the nearest one hundred? -9000 Let t be (-2)/(-16) + 10746/48. Let p = -374 + t. Round p to the nearest one hundred. -200 Let c = -65.317 + -0.403. Let f = c - -64. Let d = f + -11.18. What is d rounded to the nearest integer? -13 Let r(b) = 587*b + 28. Let f be r(6). What is f rounded to the nearest 1000? 4000 Suppose u - 29780002 = 4*z, 2*z + 9*u = 4*u - 14889990. Round z to the nearest one million. -7000000 Let h = -0.0271496 - -0.0269. What is h rounded to four decimal places? -0.0002 Suppose 2*a + 2 = -4*i, 0 = 2*i - 5*a + 28 + 3. Suppose 5*n = -3 + 8. Let b be n - (-1 + (-28001 - i)). What is b rounded to the nearest ten thousand? 30000 Let s = 10 + -7. Suppose -2*c + 8 = -s*c. Let q be c/20 + (-8999996)/10. What is q rounded to the nearest 1000000? -1000000 Let r = -0.032 - 43.968. Let f = r - -23. Let s = f + 20.99963. Round s to 4 dps. -0.0004 Let h = 69 +
{ "pile_set_name": "DM Mathematics" }
u(-7). Let i(y) = 3*y**2 - 2*y + 1. Give l*z(v) - 3*i(v). -v**2 + 4*v - 1 Let q(z) = 12*z + 3. Suppose 3*h - h = 6. Let p be q(h). Let o(b) = -b**2 + 2. Let u(s) = -7*s**2 + 13. What is p*o(g) - 6*u(g)? 3*g**2 Let i(q) = -11*q + 5. Let l(j) = -18*j + 11. Give 13*i(z) - 6*l(z). -35*z - 1 Let h(n) be the first derivative of 2*n**3/3 - n**2/2 + 2*n - 130. Let r(l) = -3*l**2 + 2*l - 2. Calculate -5*h(b) - 4*r(b). 2*b**2 - 3*b - 2 Let j(a) = 18*a. Let t(o) = 20*o - 1. Determine -6*j(h) + 5*t(h). -8*h - 5 Let d(l) = 11*l - 4. Let x(z) = 25*z - 9. Let i(o) = 7*d(o) - 3*x(o). Let u(g) = -g. Give 3*i(v) + 5*u(v). v - 3 Let a(f) = -4*f - 5. Let v(p) = 2*p + 2. Determine -3*a(k) - 8*v(k). -4*k - 1 Let u(t) = 2*t. Let q(z) = -2*z. Suppose -5*v = -6 - 4, 2*g - 28 = -3*v. Suppose -g = -3*s - 0*s - 2*i, -2*s = -3*i - 16. Give s*u(b) + 6*q(b). -2*b Let r(n) = 4*n + 3. Let g(l) = 3*l - 1. Calculate 3*g(p) - r(p). 5*p - 6 Let d = -518 - -521. Let h(s) = -s**2 + 1. Let k(p) = 14*p**2 + 3. Give d*h(y) - k(y). -17*y**2 Let r(b) be the third derivative of 7*b**4/8 - 9*b**2. Let x(g) = 7*g. What is -3*r(s) + 8*x(s)? -7*s Let n(i) = -23 - 28*i + 5*i + 12*i + 9*i. Let y(b) = 3. What is -3*n(d) - 24*y(d)? 6*d - 3 Let u(y) = -1 - 2 + 4. Let z(i) be the second derivative of i**3/6 - i**2 - 362*i. Calculate 3*u(b) + z(b). b + 1 Let j(c) = -3*c - 43. Let o be j(-16). Let v(s) = 16*s**3 + 8*s. Let i(m) = 11*m**3 + 5*m. Calculate o*v(l) - 8*i(l). -8*l**3 Let q(c) = 8*c - 40. Let x(g) = 8 + 18 - 27. Give q(r) - 40*x(r). 8*r Let a(m) = -18*m + 4. Let q(j) be the third derivative of 3*j**4/8 - j**3/3 - 134*j**2. What is -3*a(k) - 7*q(k)? -9*k + 2 Let u(z) = -2*z**2 - z. Let a(r) = -8*r**2 + 2*r. Give 5*a(x) + 15*u(x). -70*x**2 - 5*x Let f(s) = -s**2 - 1. Let u(p) = 20*p**2 + 2*p + 18. What is 36*f(a) + 2*u(a)? 4*a**2 + 4*a Let t(s) = -s**3 + s + 1. Let g(z) = -z**3 + 10*z + 7. Give g(v) - 6*t(v). 5*v**3 + 4*v + 1 Let x(m) = 2*m**3 - 4*m**2 - 2. Let u(q) be the third derivative of -q**5/60 - q**3/6 - 318*q**2. Give -4*u(i) + x(i). 2*i**3 + 2 Let a(p) = 17*p**2 + 5*p - 5. Let o(v) = 2*v**2 - v + 1. What is -a(m) - 3*o(m)? -23*m**2 - 2*m + 2 Let v(m) = 201*m**3 + 6*m - 6. Let a(i) = -28340*i**3 - 845*i + 845. Give -6*a(c) - 845*v(c). 195*c**3 Let p(s) = 73*s. Let r(l) = 74*l - 1. Calculate -3*p(m) + 2*r(m). -71*m - 2 Let h = 17 + -14. Let c(b) be the third derivative of 2*b**2 + 0*b + 1/6*b**4 + 5/6*b**h + 0. Let o(s) = -3*s - 4. Determine -4*c(l) - 5*o(l). -l Let u(h) = 7*h**3 - 9*h**2 - 46*h - 4. Let i(l) = -3*l**3 + 4*l**2 + 24*l + 1. What is -5*i(k) - 2*u(k)? k**3 - 2*k**2 - 28*k + 3 Let r(c) = -c. Let q(n) = 4*n - n + 5*n - 6*n. Calculate -q(j) + 5*r(j). -7*j Let i = -27 - -34. Let h = -13 - -10. Let d(r) = -r**2 - 2*r + 5. Let b(s) = s. Let v(m) = 2*b(m) + d(m). Let z(o) = -2*o**2 + 11. Calculate h*z(a) + i*v(a). -a**2 + 2 Let n(m) = 4*m**2 + 33*m + 1. Let c(r) = -r**2 - r - 1. What is 2*c(l) + n(l)? 2*l**2 + 31*l - 1 Let o = -1355 - -1356. Let k(c) = -17*c**2 + 85*c + 85. Let h(a) = -a - 1. What is o*k(j) + 85*h(j)? -17*j**2 Let i = 6 + -4. Let y = 49 + -54. Let s(a) be the first derivative of 2*a**3/3 + a**2 + 2*a + 1. Let g(h) = 4*h**2 + 5*h + 5. Determine i*g(k) + y*s(k). -2*k**2 Let h(u) = -70*u**3 + 12*u**2 + 6*u - 6. Let v(j) = 70*j**3 - 10*j**2 - 5*j + 5. Give -5*h(m) - 6*v(m). -70*m**3 Suppose -2*g + 1 = -3*s, -30 = -5*s - 4*g - 17. Let l(m) = m - 4*m - 3 + 0*m. Let b(o) = -o. Give s*l(u) - b(u). -2*u - 3 Let q be (90/75)/((-2)/(-55)). Let r = q + -25. Let b(k) = 3 - r*k + 4*k**2 - 7*k + 18*k + 0*k**2. Let v(n) = 5*n**2 + 4*n + 4. Give -4*b(w) + 3*v(w). -w**2 Let z = 520 + -515. Let n(u) = 3*u**3 + 5*u**2 - 5*u - 5. Let p(l) = -4*l**3 - 8*l**2 + 8*l + 8. Give z*p(g) + 8*n(g). 4*g**3 Let d(f) = -f**2 - 11*f - 22. Let y be d(-8). Let t(n) = -4 - 2*n - 30*n**2 - n + 10 + 32*n**y. Let l(s) = -s + 1. Calculate -5*l(h) + t(h). 2*h**2 + 2*h + 1 Let p(m) = -m. Let q(c) be the third derivative of c**4/8 - 5*c**3/2 + 143*c**2 + c. Calculate p(v) + q(v). 2*v - 15 Let x(j) = 3*j - 6. Let t(f) = -3*f + 14. Let g(s) = 4*s - 21. Let v(w) = 5*g(w) + 8*t(w). What is -4*v(d) - 5*x(d)? d + 2 Let c(k) = -10*k**3 - 8*k**2 + 4*k - 4. Let z(g) = 9*g**3 + 10*g**2 - 5*g + 5. What is -5*c(b) - 4*z(b)? 14*b**3 Let c(z) = -9*z**3 + 3*z**2 + 3*z - 21. Let d(a) = -10*a**3 + 4*a**2 + 4*a - 22. Let i(u) = -4*c(u) + 3*d(u). Let o(x) = 4*x**3 + 12. Calculate 5*i(g) - 8*o(g). -2*g**3 - 6 Let l(n) = -22*n - 18. Let t(m) = m + 5. Give -l(y) - 3*t(y). 19*y + 3 Let y(k) = 6*k**2 + 12*k + 14. Let m(w) = 2*w**2 + 4*w + 5. Give 8*m(j) - 3*y(j). -2*j**2 - 4*j - 2 Let d(v) = -4*v**3 + 7*v**2 + 2*v**3 - 5*v - 4 + 0*v**3 - v**3. Let u(j) = -3*j**2 + j**3 + 0 + 9*j**2 - 3 - 4*j**3 - 4*j. Calculate 4*d(t) - 5*u(t). 3*t**3 - 2*t**2 - 1 Let l(m) = 7*m**3 - m**2 - 2*m + 3. Let g(v) = -8*v**3 + v**2 + 3*v - 4. Suppose -23 = 5*q - 4*b, 2*q - 4*q = -4*b + 14. Determine q*l(p) - 2*g(p). -5*p**3 + p**2 - 1 Let i(v) = -30611*v + 14 - 12*v**2 + 30611*v. Let h(r) = -8*r**2 + 9. Give -8*h(y) + 5*i(y). 4*y**2 - 2 Let w(h) = 4*h + 1. Let v(t) = -25*t + 2. Let q(o) = 27*o - 3. Let s(f) = 5*q(f) + 6*v(f). Determine -6*s(r) - 22*w(r). 2*r - 4 Let c(i) = -20*i**3 - 14*i**2 - 11*i + 8. Let s(n) be the first derivative of -7*n**4/4 - 5*n**3/3 - 2*n**2 + 3*n + 112. Give -4*c(o) + 11*s(o). 3*o**3 + o**2 + 1 Let p(x) = x - 5. Suppose -q - 1 = 2. Let v(i) = 7*i - 23. Let z(o) = 4*o - 12. Let d(n) = q*v(n) + 5*z(n). What is 3*d(l) + 5*p(l)? 2*l + 2 Let a(m) = 15*m**2 - 7*m - 5. Let z(y) = -22*y**2 + 11*y + 8. Let n(t) = 2*t**3 + 16*t**2 - 16*t - 123. Let q be n(-8). Determine q*z(r) + 8*a(r). 10*r**2 - r Let q(u) = -2*u**3 - 18*u**2 - 18*u + 18. Let l(s) be the second derivative of s**4/12 + s**3/6 - s**2/2 - s + 31. Give -72*l(n) - 4*q(n). 8*n**3 Suppose -4 = 16*l - 17*l. Let h(k) = -21*k**3 - 7*k**2 + 7. Let v(y) = -11*y**3 - 4*y**2 + 4. Give l*h(o) - 7*v(o). -7*o**3 Let h(l) = 18995*l**2 - 725. Let p(m) = -157*m**2 + 6. Calculate -6*h(c) - 725*p(c). -145*c**2 Suppose 3*m = -m - 20. Let p(c) = -3*c - 2. Let z(x) be the third derivative of x**4/24 + x**3/6 + 3572*x**2. Determine m*p(r) - 10*z(r). 5*r Let x(o) = 27*o**2 - 22*o + 12. Let c(n) = -n**2 + 2*n - 2. Determine -6*c(b) - x(b). -21*b**2 + 10*b Let l(k) = -3*k - 2. Let i be (-3)/(6/4) + -1. Let f(d) = 191 - 1020*d - 194 + 1018*d. Determine i*l(a) + 2*f(a). 5*a Let h(w) = -7*w**2 - 7*w - 1. Let k(x) = -15*x**2 - 15*x - 2. Let f be 56/42 - 20/(-3). Suppose 13*l - 65 = f*l. Give l*h(u) - 6*k(u). -u**2 - u - 1 Let n(b) = 128*b**3 + 3*b - 7. Let v(h) = -43*h**3 - h + 2. Calculate -2*n(i) - 7*v(i). 45*i**3 + i Let s(n) = -21*n - 561. Let x be s(-27). Let i(q) = -q + 1. Let m(k) = -3*k + 2*k + 3*k - 2. Determine x*i(g) + 4*m(g). 2*g - 2 Let p(a) = 12*a**2 - 15. Let y(u) = -u**2 + 1. Suppose 4*c = -2*l - 3*l + 355, 2*l - 88 = -c. Give c*y(h) + 6*p(h). -18*h**2 Let c(s) = 108*s + 15. Let p(y) = -54*y - 8. What is 6*c(o) + 11*p(o)? 54*o + 2 Let s = 101 + -90. Suppose 0 = -h - 2*h + 18. Let t(v) = -9*v**2 + 4*v - 17. Let y(l) = 5*l**2 - 2*l + 9. What is h*t(u) + s*y(u)? u**2 + 2*u - 3 Let p(h) = 55*h**3 - 5*h**2 + 11*h - 11. Let q(t) be the second derivative of -11*t**5/20 + t**4/12 - t**3/3 + t**2 - 132*t + 2. Calculate -2*p(j) - 11*q(j). 11*j**3 - j**2 Let z(f) = 3*f**3 - 2*f - 438. Let h(q) = -19*q**3 + 13*q + 2628. What is -2*h(y) - 13*z(y)? -y**3 + 438 Let z = -26 + 30. Suppose z*n + 41 + 7 = 0. Let p(k) = -20*k**2 + 22. Let c(u) = 8*u**2 - 9. Calculate n*c(h) - 5*p(h). 4*h**2 - 2 Let q(y) = -28*y**2 + 9*y - 5. Let c(t) = -t**2 + 2*t - 1. Give 4*c(a) - q(a). 24*a**2 - a + 1 Let o(w) = 8424*w**2 + 99*w - 396. Let f(x) = -337*x**2 - 4*x + 16. What is 99*f(i) + 4*o(i)? 333*i**2 Let w(d) = 2*d**2 + 2*d. Let b(i) = -24*i**3 + 12*i**2 + 12*i + 8. What is b(n) - 6*w(n)? -24*n**3 + 8 Let a(w) = w + 9. Let h(q) = q**2 - 26*q - 127. Let k be h(30). Let y(l) = -3*l - 27. What is k*a(d) - 2*y(d)? -d - 9 Let l(j) = 2484*j**3 + 11*j**2. Let k(a) = 827*a**3 + 4*a**2. What is -11*k(z) + 4*l(z)? 839*z**3 Suppose 10 = -3*t + 1. Let i be (1/4)/(t - (-13)/4). Let c(v) = -v**2. Let q(w) = w**3 - 5*w**2 - w. Determine i*q(a) - 6*c(a). a**3 + a**2 - a Let k(b) = b + 4. Let c = -101 + 156. Let n(o) = c*o
{ "pile_set_name": "DM Mathematics" }
e third derivative of 0 - 1/8*p**s + 1/28*p**7 - 9/80*p**6 - 1/224*p**8 + 7/40*p**5 - 2*p**2 + 0*p**3 + 0*p. Factor b(y). -3*y*(y - 2)*(y - 1)**3/2 Let a = -333 + 335. Factor 1 + 2*i**3 + 92*i**2 + 8*i - 82*i**a - 1. 2*i*(i + 1)*(i + 4) Let u(t) be the first derivative of t**4/30 - 996*t**3/5 + 2232036*t**2/5 - 2223107856*t/5 - 1268. Factor u(s). 2*(s - 1494)**3/15 Let c(l) be the third derivative of 9*l**7/35 - 1503*l**6/40 - 1533*l**5/8 - 38575*l**4/96 - 5375*l**3/12 - 2015*l**2. Solve c(r) = 0. -5/6, 86 Let u = -193678 + 2517816/13. What is b in 40/13*b + 200/13*b**2 + u = 0? -1/10 Let k(m) be the third derivative of m**7/350 - m**6/25 - 207*m**5/50 + 108*m**4 + 945*m**3/2 + 6698*m**2 - m. What is c in k(c) = 0? -21, -1, 15 Let k(g) be the second derivative of 625*g**7/42 + 25*g**6 - 75*g**5/4 - 190*g**4/3 - 40*g**3 - 708*g - 1. Let k(l) = 0. Calculate l. -4/5, -3/5, 0, 1 Let i = -7440211/11 + 676383. Solve -4/11*l**4 + i*l - 2/11 - 2/11*l**3 + 6/11*l**2 = 0. -1, 1/2, 1 Suppose 12*t + 4*k = 15*t + 43, 11*k - 149 = -2*t. Suppose 1/9*o**t - 2/3*o**2 + 1/9*o**4 - 4/9*o + 8/9 = 0. What is o? -2, 1, 2 Let f = -85794 + 85796. Factor -1/3*q**5 - 17/3*q**2 + 0 + 5*q**3 - q**4 + f*q. -q*(q - 1)**3*(q + 6)/3 Let z(s) be the first derivative of s**5/5 - 11*s**4/2 - s**3 + 34*s**2 - 44*s - 2029. Let z(o) = 0. Calculate o. -2, 1, 22 Suppose 44 = 5*c + 24. Find y, given that 1 + 9 - 5*y**2 - y**4 + 3*y**4 + 15*y - 7*y**c - 15*y**3 = 0. -2, -1, 1 Let m(f) = 4*f**2 + 8931*f + 4946166. Let z(x) = 2*x**2 + 4469*x + 2473082. Let d(h) = 3*m(h) - 5*z(h). Factor d(l). 2*(l + 1112)**2 Let q be 4/(-6)*12/(-7). Let n = 71/154 - 7/22. Factor -q*w - 1/7*w**2 + n*w**3 + 12/7. (w - 2)**2*(w + 3)/7 Determine n so that -n**2 - 4*n**2 - 1449 - 10048*n + 13093*n - 4621 = 0. 2, 607 Factor -25*t + 1/8*t**2 + 0. t*(t - 200)/8 Suppose 4*a - 30 = 3*j, -2*j + 3 - 1 = a. Suppose 7*l + 1643*l**2 - 25*l - 1646*l**2 - a*l = 0. What is l? -8, 0 Let n be 57/(-3800)*4/(-9). Let t(v) be the third derivative of 0*v + 0 + 0*v**3 - n*v**5 - 1/60*v**4 - 11*v**2. Solve t(b) = 0 for b. -1, 0 Let p(h) be the first derivative of h**5/5 - 33*h**4/4 + 21*h**3 - 31*h**2/2 + 7885. Suppose p(u) = 0. What is u? 0, 1, 31 Let 49*p - 321*p**3 - 6*p**4 - 16*p - 17*p - 19*p + 495*p**2 - 165 = 0. What is p? -55, -1/2, 1 Let 964 + 1435*d - 1414 + 174*d**3 - 139*d**3 + 480*d**2 = 0. What is d? -9, -5, 2/7 Let a(y) be the first derivative of 0*y - 11/3*y**4 + 56/45*y**5 - 448/27*y**3 + 79 - 128/9*y**2 - 2/27*y**6. Factor a(w). -4*w*(w - 8)**2*(w + 1)**2/9 Let q(t) = -40*t - 355. Let h be q(-9). Let k(f) be the first derivative of 2/15*f**3 + 3 + 0*f + 1/5*f**4 + 2/25*f**h + 0*f**2. Factor k(y). 2*y**2*(y + 1)**2/5 Let q = 12 - 4. Let w = 10 - q. Factor -d - 2*d**2 - d**2 - w*d + 13 + 5. -3*(d - 2)*(d + 3) Let u = -310 + 312. What is l in 57*l + 26*l**2 - 30 + 4 + 8 - u*l**4 - 78 - 8*l**3 + 23*l = 0? -4, 1, 3 Let m(n) be the first derivative of n**3 - 135*n**2/2 + 378*n + 7935. Suppose m(i) = 0. Calculate i. 3, 42 Let u(a) be the first derivative of 3*a**5/10 + 21*a**4/8 + 11*a**3/2 - 21*a**2/4 - 18*a + 3885. Let u(i) = 0. What is i? -4, -3, -1, 1 Let v(m) be the second derivative of 47*m + 4/9*m**3 + 0*m**2 + 1/7*m**7 - 3 - 13/30*m**5 + 16/45*m**6 - 8/9*m**4. Let v(r) = 0. What is r? -2, -1, 0, 2/9, 1 Let b(x) = -x**2 + x + 1. Let t be (-3)/(((-84)/(-16))/(-7)). Let n(s) = 26*s**2 + 29*s - 1. Let m(j) = t*b(j) - n(j). Determine d, given that m(d) = 0. -1, 1/6 Let n(o) = -116*o**2 - 698*o - 9. Let g be n(-6). Determine i, given that -1/4*i**2 - 5 - 4*i + 1/4*i**g = 0. -2, 5 Let w be 8/1 - 50/(-110)*-11. Let v(n) be the third derivative of -1440*n**3 + 0*n + 1/24*n**6 + 90*n**4 + 0 - w*n**5 - 6*n**2. Solve v(y) = 0. 12 Let x(y) = -55*y**2 - 198*y + 355. Let a(g) = -6*g**2 + g - 7. Let v(z) = -36*a(z) + 4*x(z). Factor v(j). -4*(j - 2)*(j + 209) Let a(y) be the third derivative of -y**8/1680 + 29*y**6/600 - 4*y**5/25 - 7*y**4/30 + 8*y**3/5 + 546*y**2. Let a(h) = 0. Calculate h. -6, -1, 1, 2, 4 Let y(h) be the first derivative of 3*h**4/20 - 207*h**3/5 + 42849*h**2/10 - 985527*h/5 - 1845. Determine a so that y(a) = 0. 69 Let w be (-6 + (0 - -6))/(6*9/(-27)). Factor -4/3*x**3 + w - 8/3*x**2 + 0*x. -4*x**2*(x + 2)/3 Determine z, given that -3/2*z**3 - 279 - 36*z**2 + 633/2*z = 0. -31, 1, 6 Let y(i) be the third derivative of i**5/420 + 85*i**4/84 + 169*i**3/42 + 734*i**2. Solve y(v) = 0. -169, -1 Let x(y) be the second derivative of y**8/1680 - 17*y**6/360 - 3*y**5/10 - 5*y**4/6 - 7*y**3 - 15*y + 1. Let c(b) be the second derivative of x(b). Factor c(r). (r - 5)*(r + 1)*(r + 2)**2 Let t(r) be the second derivative of r**5/80 - 10*r**4/3 + 317*r**3/24 - 79*r**2/4 + r + 135. Solve t(q) = 0. 1, 158 Find n, given that 0 + 7/3*n**2 + 1/3*n**4 - n - 5/3*n**3 = 0. 0, 1, 3 Let f(z) be the second derivative of 3*z**5/80 + 147*z**4/8 + 585*z**3/8 + 219*z**2/2 + 5673*z. Find w such that f(w) = 0. -292, -1 Let t(o) = -8*o**4 - 78*o**3 - 199*o**2 - 117*o. Let x(i) = 55*i**4 + 545*i**3 + 1390*i**2 + 820*i. Let w(r) = -20*t(r) - 3*x(r). Solve w(v) = 0. -12, -2, -1, 0 Let n = 103201/20 + -5160. Let i(y) be the third derivative of 0*y - 1/70*y**7 + 0*y**5 - 1/4*y**4 - 24*y**2 + 0 + n*y**6 + 1/2*y**3. Factor i(s). -3*(s - 1)**3*(s + 1) Let v(j) be the first derivative of j**7/420 + j**6/90 - 28*j**3 + 3. Let k(f) be the third derivative of v(f). Factor k(d). 2*d**2*(d + 2) Suppose 284 = 13*s - 587. Factor s - 47 + 4*n**2 - 36. 4*(n - 2)*(n + 2) Let w(z) be the first derivative of -z**6/144 + 11*z**5/30 - 299*z**4/48 + 169*z**3/18 + 77*z**2/2 + 20. Let k(r) be the second derivative of w(r). Factor k(o). -(o - 13)**2*(5*o - 2)/6 Let v be (-252)/(-14) + -2*(-2 - 1). Let 0 + 4 - 16 - f**2 + 17*f + v*f - 48*f = 0. Calculate f. -4, -3 Let b be (-20607)/27 + (-4)/(-18). Let n = b - -6869/9. Find h, given that n*h**3 - 4/9*h**2 + 0 + 2/9*h = 0. 0, 1 Let k(u) be the second derivative of -u**7/945 + u**6/90 - 11*u**5/270 + u**4/18 + 38*u**2 - 52*u. Let b(c) be the first derivative of k(c). Factor b(v). -2*v*(v - 3)*(v - 2)*(v - 1)/9 Let w = 148 + -146. Let u(j) be the second derivative of 0*j**3 + 0 + 1/32*j**4 + 1/80*j**6 + 3/80*j**5 + 0*j**w + 16*j. Solve u(z) = 0. -1, 0 Suppose -j + w - 17 - 9 = 0, j = -2*w - 23. Let r = j + 33. Factor r + 3*q - 4*q + 2*q**2 - 8*q + q. 2*(q - 2)**2 Let a be 28*(3 + 92/(-16)). Let w = a - -263/3. Solve 0*u - w*u**2 + 2/3 = 0 for u. -1/4, 1/4 Let r(i) be the second derivative of -i**5/190 + 223*i**4/57 - 16724*i**3/19 + 98568*i**2/19 - 79*i - 42. Solve r(q) = 0 for q. 2, 222 Let z(m) = -42*m**3 - 92*m**2 - 61*m - 2. Let w(u) = -41*u**3 - 91*u**2 - 63*u - 1. Let d(x) = 3*w(x) - 4*z(x). Factor d(l). 5*(l + 1)**2*(9*l + 1) Suppose 3*z = -12*g + 9*g + 1560, -1560 = -3*z + 4*g. Let p be ((32/z)/2)/((-2)/(-10)). Let -4/13 + 2/13*n**2 + p*n = 0. What is n? -2, 1 Let n(r) = -10*r**2 + 2044*r - 9968. Let o be n(5). What is h in -2/5*h**o + 84/5*h + 86/5 = 0? -1, 43 Let q(s) be the first derivative of -5*s**6/36 - 17*s**5/30 + 7*s**4/2 + 8*s**3/9 - 32*s**2/3 - 8*s - 4814. Suppose q(i) = 0. What is i? -6, -1, -2/5, 2 Let r = -224 - -243. Solve -37*x - r*x + 22 - 28*x**2 - 10 - 24*x = 0. -3, 1/7 Let s = -6311 - -6313. Let m(z) be the first derivative of 0*z - 3/10*z**4 - 1/5*z**s - 2/25*z**5 - 2/5*z**3 - 22. Factor m(q). -2*q*(q + 1)**3/5 Let u = 193265/143 - 17475/13. Find y such that 800/11 + u*y + 2/11*y**2 = 0. -20 Find i such that -18/7*i - 6*i**2 + 34/7*i**3 + 0 - 6/7*i**4 = 0. -1/3, 0, 3 Let i(h) be the second derivative of h**7/630 + h**6/90 - h**5/2 - h**4/6 + 20*h**3/3 + h - 14. Let w(c) be the third derivative of i(c). Factor w(n). 4*(n - 3)*(n + 5) Let q(c) be the second derivative of c**8/168 - 4*c**7/105 - c**6/12 - 26*c**2 - 13*c. Let u(j) be the first derivative of q(j). Let u(x) = 0. Calculate x. -1, 0, 5 Let k(u) = u**3 - 4*u**2 + 2*u. Let o be k(5). Let f = o + -32. Factor 10*d - d**3 + 0*d**3 + 6*d**f - 15*d**2. 5*d*(d - 2)*(d - 1) Suppose -2*b - 47 = -3*r, 3*b + 0 = -3*r + 72. Suppose -r*w = -14*w - 135. Let 45*t + 0*t**2 + 4*t**2 - 14*t**3 + w + 17*t**3 + 17*t**2 = 0. What is t? -3, -1 Factor 66*a**2 + 2215*a**3 + 2216*a**3 + 442*a**2 - 4429*a**3. 2*a**2*(a + 254) Let y be (20 + 4)/6 + -5 - -30
{ "pile_set_name": "DM Mathematics" }
positive. h**(-303/88) Simplify ((q*q*q*q**(-11))/(q*q/q**(2/13)))/(q**(-28)*q**28) assuming q is positive. q**(-128/13) Simplify (c**(-2/9)*c*c**(3/4)*c*(c**(1/3))**(2/27))**(-15) assuming c is positive. c**(-4135/108) Simplify u**(-16)*u*u**4*u**(-15)/((u*u*u**17*u)/u*u) assuming u is positive. u**(-46) Simplify ((g*g**(-5)/g)/(g*(g*g/g**(-10)*g)/g*g)*g*g**5*g*(g**10/g)/g*g*g*g)**26 assuming g is positive. g**(-26) Simplify (((s**(-18)/s)/s)/(((s/(s/((s/(s*s*(s*s*((s/(s*s**(-12/7)*s))/s)/s)/s))/s))*s)/s)/s))/(s/s**5)**(-34) assuming s is positive. s**(-1073/7) Simplify (c*(c/c**(-32))/c)/c*c**(-6/13)*(c**(-13)/c)**(-2) assuming c is positive. c**(774/13) Simplify (f/(f*f/f**7))**10*f**(-11)*f*f**(-1/27) assuming f is positive. f**(1349/27) Simplify (t*(t/((t*t*t**(-6))/t*t))/t)/t**(2/51)*((t*t**(3/4))/t)/t**(-21) assuming t is positive. t**(5449/204) Simplify (((g/(g*(g/g**7)/g))/g**3)/(g**(-1/5)*g**5))**2 assuming g is positive. g**(-8/5) Simplify w**33*w/(w/(((((w**(-6)/w)/w)/w)/w*w)/w*w))*w**(-37)*w**(-28) assuming w is positive. w**(-41) Simplify (r*r**3*r*r*r)/r*r*r**14/r*r*(r/(r/(r/(r**(-2/5)*r))*r))**(1/12) assuming r is positive. r**(419/20) Simplify (j*j/j**42*j**34/j)**16 assuming j is positive. j**(-112) Simplify (q**7/q)/((q*q*q**(4/3))/q)*(((q*q*q*(q**(-1/3)/q)/q*q)/q)/q)**8 assuming q is positive. q Simplify (s*s**(2/3))**30*(s*(s*(s/(s**(-5)/s))/s)/s)**(-24) assuming s is positive. s**(-118) Simplify (u*(u**(2/53)/u)/u*u**(-11))/(u**(1/23))**(14/5) assuming u is positive. u**(-73652/6095) Simplify f/(f*f**(-2/15))*f**35*(f**(-4/11)/f*f*f)**39 assuming f is positive. f**(9892/165) Simplify (j**5/(j*j**(4/3)))/((j*j**3)/j)**24 assuming j is positive. j**(-208/3) Simplify (s**24)**(-11)*((s/s**(-6))/s)/(s*s**(-7/3)/s) assuming s is positive. s**(-767/3) Simplify (((h**(-1/8))**(-16/5))**(-23))**(-1) assuming h is positive. h**(46/5) Simplify (i/i**(-5/2)*i**(-10)*i)**23 assuming i is positive. i**(-253/2) Simplify ((x*x**(-1/22))/(x/x**13))/(x**(-7/4)/(x/(x*x/((x/x**(-3/5))/x*x*x*x)))) assuming x is positive. x**(3807/220) Simplify ((o**1)**(-37)/(o**4/(o**(-7/2)*o*o)))**(2/133) assuming o is positive. o**(-85/133) Simplify (d*d/((d*d**(-1/18))/d)*d*d**3)/((d**(10/9)*d)/(d*d*d**(2/5))) assuming d is positive. d**(571/90) Simplify (o*(o/(o/(o**(2/3)/o)))/o*o)**(-17/5)*(o/((o*o**(-26))/o))/o**(-5/7) assuming o is positive. o**(2672/105) Simplify r*r**(2/65)*(r/((r*r/(r/(r*r/r**(-4))))/r))/r*((r**8*r)/r)**0 assuming r is positive. r**(-323/65) Simplify (v/v**(-2/85)*v*v*v*v**15*v)/(v**0/(v/v**(3/7))) assuming v is positive. v**(12254/595) Simplify ((s/s**(-2))/s*s*s*s**(-2/47)*s)/(s**(-3))**25 assuming s is positive. s**(3758/47) Simplify s**(1/37)*s**(-8)*((s/s**(-3/14))/s)/s**(1/10) assuming s is positive. s**(-10177/1295) Simplify l*l**15*l**19*(((l**(1/3)/l*l)/l*l)/l)**(-3/4) assuming l is positive. l**(71/2) Simplify (r*r/(r/(r/(r/r**(-2/17)))))/((r**5/r*r)/r)*(r*r**8)/(r**(-7)/r) assuming r is positive. r**(236/17) Simplify o**(-3)/(((o*o**(-6))/o)/o)*o/o**(-2/3)*o**(-12)*o assuming o is positive. o**(-16/3) Simplify (w*w**10)/w**(-2/145)*(w/(w/(w**(-1/68)/w*w)))/w*w/w**(-12)*w assuming w is positive. w**(236631/9860) Simplify (((t*t*(t*t*t**(-5/3)/t)/t)/t)/(t**(-6/7)*t*t))/(t**(-8)/(t*t/t**15)) assuming t is positive. t**(-143/21) Simplify (u/u**(-12))/u*(u*u**(-4)*u)/u*u**(-10)/u**(-20) assuming u is positive. u**19 Simplify (k*k**(-1/9)*k)/(k/(k*k**13))*k**(1/2)/(k**(1/4)/k) assuming k is positive. k**(581/36) Simplify (j/j**3*j**(-1/5)/j*(j*j**(-1/8))/j*j**(-2/9))**(-9) assuming j is positive. j**(1277/40) Simplify z**28*z*z*(z/z**15)/z*z*z*z/(z/(z*z**(-24)*z))*z**(4/17) assuming z is positive. z**(-81/17) Simplify (((j/(j/(j/j**3)))/(j/((j**3*j)/j)))/((j/(j/(j*j**(4/7))))/j**(1/2)))**(-38) assuming j is positive. j**(285/7) Simplify ((u*u*u*u**(-9)*u*u)/u**20)**45 assuming u is positive. u**(-1080) Simplify (k/k**(1/22)*k**(-1/71))**49 assuming k is positive. k**(71981/1562) Simplify (u*u**10/u*u*u**(2/5)*u*u)**(-2/53) assuming u is positive. u**(-134/265) Simplify (w**(-19)*w*w*w*w**(1/51)*w)/(w**(9/4)*w**38) assuming w is positive. w**(-11267/204) Simplify (g/g**2)**9/(g**4/(g/(g*g*g**10))) assuming g is positive. g**(-24) Simplify (z*z/(z**(-5)/z)*z**(10/3))/(z/(z/z**(-2)*z)*z**(4/9)) assuming z is positive. z**(125/9) Simplify ((u**(2/5))**(40/3)/((u*u**(-8/5))/(u/u**(-1/16))))**(-15/2) assuming u is positive. u**(-1679/32) Simplify s**(2/7)/(s/(s/(s**(-14)*s*s)))*s**0*s/s**(-4) assuming s is positive. s**(121/7) Simplify (t**10/t**(-2/13))/(t*t**(-3/4))**34 assuming t is positive. t**(43/26) Simplify (c/c**(-16)*c/c**13)/(c**(-2/11)*c**7) assuming c is positive. c**(-20/11) Simplify ((x*x**(-3/2))**(-34))**3 assuming x is positive. x**51 Simplify (v**(2/7))**1/(v/(v/v**(1/7)*v)*v*v*v**(2/15)/v) assuming v is positive. v**(1/105) Simplify (r**(-1/4)*r)/(r*r**(-1/8))*(r/(r*r/((r**(-7/2)/r*r)/r)))/(r/((r*(r/(r*r**(-4)))/r)/r*r)) assuming r is positive. r**(-21/8) Simplify (m/(m/(m*m**(-1/5))))**43*(m*(m/(m/m**(-9)))/m*m*m)**(1/13) assuming m is positive. m**(2201/65) Simplify l**22*(l/l**(-9/8))/l*l*(l*(l/((l**22/l)/l))/l)/(l*l**(2/15)) assuming l is positive. l**(479/120) Simplify ((l*l*l**(-3/2))/l)**(-21)/(l**(4/9)/(l**(2/17)/l)) assuming l is positive. l**(2807/306) Simplify ((i*i**1)/i*i**(-3/8))/((i/(i**(-1/3)/i))/i)**(1/5) assuming i is positive. i**(43/120) Simplify o/(o*(o/(o*o**(-5/2)*o))/o)*o**11*o**15*o**23 assuming o is positive. o**(97/2) Simplify (((c*c*(c**7*c*c)/c)/c)/c)**(3/7)*(c/(c**(-12)/c))**(6/7) assuming c is positive. c**(108/7) Simplify ((g**(1/7)*g*(g**(-6)*g)/g)/(g**2*g*g**(-1/2)))**(2/15) assuming g is positive. g**(-103/105) Simplify (u**(-5/3)*u**(3/10)*u)/(u*u/(u/(u/u**0)))**(-4/9) assuming u is positive. u**(47/90) Simplify b/b**5*b*b/(b*b**(-20))*b**(-34)*b/(b*b**(8/5)) assuming b is positive. b**(-93/5) Simplify ((q*q/(q*q**(-2/15)))/(q*q**(2/41)))**(-31) assuming q is positive. q**(-1612/615) Simplify (c**(-2/3))**(-2/35)/((c/c**(-5/3))/c*((c*c**(-1/3))/c)/c) assuming c is positive. c**(-31/105) Simplify (b/b**(1/19)*(b*b**(-18)*b)/b)**(2/69) assuming b is positive. b**(-610/1311) Simplify (((((d*d/d**(-3/8))/d)/d)**10)**(11/5))**(-18/7) assuming d is positive. d**(-297/14) Simplify (t*t*t**(1/6))/t**13*(t*t/(t/t**(-2)))**14 assuming t is positive. t**(-149/6) Simplify (s**3)**(-20/11)/(s**15)**(-1/17) assuming s is positive. s**(-855/187) Simplify (r/((r**23/r)/r*r))/(r*r/(r/(r*(r**(-4)/r)/r)))*r**12/(r**23*r) assuming r is positive. r**(-29) Simplify ((h*h/(h*h**(-13/3)*h*h)*h)**40)**32 assuming h is positive. h**(16640/3) Simplify ((j**(-9)/j*j*j)/(j*j*(j*j**(-19))/j))/(j*j**(3/13)/j)**(23/4) assuming j is positive. j**(399/52) Simplify (u*(u/(u/(u*u*u/(u*u/(u*u**(4/3)/u))*u)))/u)**(-47)*(u*u*u/u**(3/7)*u)**(3/4) assuming u is positive. u**(-12935/84) Simplify (((y*y*y/(y/(y/((y/(y*y**(-2/5)/y*y))/y)))*y*y*y)/((y**4/y)/y))**15)**10 assuming y is positive. y**690 Simplify h**(-23)*h*h/h**(-10/3)*(h*h*(h/(h/h**(-6)))/h)**(-39) assuming h is positive. h**(532/3) Simplify h**(-1/5)*h*h*h/(h/h**(-21))*(h**(-2/55)/h)/h**(-1/5) assuming h is positive. h**(-1102/55) Simplify w**(-9)/(w/(w**(6/17)*w)*w)*(w**(-5))**(2/9) assuming w is positive. w**(-1646/153) Simplify (d*d**(-3/10)*d)/(d*d**(-2/43))*d/(d/d**(-15)*d)*d**(-3) assuming d is positive. d**(-7849/430) Simplify (r/r**(-2)*r/r**(-2/11))/((r/(r/(((r*r**(-14))/r)/r)))/(r/r**(-1/17))) assuming r is positive. r**(3785/187) Simplify ((n**(-5)*n**(-5/7))**32)**(-26) assuming n is positive. n**(33280/7) Simplify ((l*l**(1/5)/l*l**(-3)/l)/(l**2)**(-4/11))**(2/13) assuming l is positive. l**(-26/55) Simplify (q/(q*(q/(q*q**(16/7))*q)/q))/(q/q**12)*(q*q**(-1/5)*q)**(1/4) assuming q is positive. q**(1923/140) Simplify x*x*x*x*x*x**(1/2)*x*x*x**27*x*(x**(-17)*x)**14 assuming x is positive. x**(-377/2) Simplify (o**1*o**(3/5))/(o**(2/23)/((o*o**(2/7)/o)/o)) assuming o is positive. o**(643/805) Simplify (y**2*(y/(y**(2/9)/y)*y)/y)**47 assuming y is positive. y**(1598/9) Simplify (t**(-20)*t**4*t)/((t*t/(t*t*t/t**(-21)))/((t/t**35)/t)) assuming t is positive. t**(-28) Simplify (w**3*w**(-5)*w*(w**6*w)/(w**(1/4)*w))**(2/19) assuming w is posit
{ "pile_set_name": "DM Mathematics" }
ommon factor of 1401344 and 4669? 161 What is the greatest common divisor of 225 and 3155967? 9 What is the greatest common factor of 1384 and 145824? 8 Calculate the highest common factor of 2557 and 1766. 1 What is the greatest common divisor of 559396450 and 50? 50 Calculate the greatest common factor of 79784690 and 1370. 1370 What is the highest common factor of 1244 and 16395609? 311 Calculate the greatest common factor of 5938 and 50. 2 What is the greatest common divisor of 1729808 and 1622352? 1168 Calculate the greatest common factor of 159365414 and 390. 26 What is the highest common factor of 3066 and 84116676? 42 Calculate the greatest common factor of 44856220 and 80. 20 What is the greatest common divisor of 122604 and 1207? 17 Calculate the highest common factor of 1704 and 136224008. 568 Calculate the highest common divisor of 8845 and 155058157. 1769 What is the greatest common divisor of 2118 and 108762? 6 Calculate the greatest common divisor of 8147178 and 3774. 222 What is the greatest common factor of 88910 and 35088070? 5230 What is the highest common factor of 27820760 and 6784? 424 Calculate the highest common factor of 10166 and 540566. 442 Calculate the highest common factor of 1342941 and 3039879. 5619 Calculate the highest common divisor of 3716755 and 1120. 35 Calculate the highest common divisor of 558 and 1400418. 18 Calculate the greatest common divisor of 648 and 120552. 24 Calculate the greatest common divisor of 2289690 and 8398. 494 What is the greatest common divisor of 194913650 and 365? 365 What is the greatest common divisor of 27293560 and 2140? 2140 Calculate the greatest common factor of 994 and 31314479. 497 Calculate the highest common factor of 164193 and 723453. 717 What is the highest common divisor of 3261058 and 1? 1 Calculate the highest common factor of 29732911 and 174291. 1417 Calculate the greatest common factor of 7197761 and 6328. 113 Calculate the greatest common divisor of 143 and 306526. 11 Calculate the greatest common factor of 2150075 and 1275. 425 Calculate the greatest common factor of 22352 and 165550088. 11176 Calculate the greatest common divisor of 3542 and 725802. 154 What is the highest common factor of 77970871 and 1342? 671 Calculate the highest common divisor of 119 and 411817. 7 Calculate the highest common factor of 58988804 and 259. 259 What is the highest common divisor of 3729256 and 243049? 289 Calculate the highest common divisor of 8877 and 8415. 33 Calculate the highest common divisor of 216 and 19647414. 54 Calculate the highest common divisor of 526 and 442510. 2 What is the highest common divisor of 63330712 and 1168? 584 Calculate the highest common factor of 12590 and 219520. 10 Calculate the highest common divisor of 88 and 14990936. 8 Calculate the highest common divisor of 2599965 and 225. 45 What is the highest common divisor of 14960 and 15318160? 880 What is the highest common divisor of 2424 and 94009992? 2424 Calculate the greatest common divisor of 3439535 and 16445. 1265 What is the greatest common factor of 1021537689 and 249? 249 Calculate the highest common divisor of 68856 and 23784. 24 Calculate the highest common divisor of 10748381 and 21. 7 Calculate the highest common divisor of 864 and 20088216. 216 Calculate the greatest common factor of 12474434 and 13790. 2758 Calculate the greatest common divisor of 8400 and 745430. 70 What is the greatest common divisor of 28528645 and 1016? 127 Calculate the highest common divisor of 2444 and 36993606. 1222 Calculate the highest common divisor of 328893345 and 4455. 1485 Calculate the highest common factor of 3675 and 462615. 15 Calculate the highest common divisor of 1984 and 410626. 62 What is the highest common factor of 15405321 and 3165? 633 Calculate the greatest common divisor of 36513 and 375. 3 What is the greatest common divisor of 6119 and 688518? 29 Calculate the greatest common factor of 275859354 and 1374. 1374 What is the greatest common divisor of 16543 and 127729? 71 What is the greatest common divisor of 196 and 815801? 49 Calculate the greatest common divisor of 41136571 and 1148. 287 Calculate the greatest common factor of 654523913 and 38. 19 Calculate the highest common divisor of 122877 and 6620373. 2997 Calculate the highest common divisor of 129667 and 598424. 127 What is the highest common factor of 825 and 157695? 15 Calculate the highest common factor of 17350 and 3631702. 694 Calculate the highest common divisor of 54344 and 862778930. 13586 What is the greatest common divisor of 70357 and 100786? 161 Calculate the greatest common factor of 9877112 and 304. 152 Calculate the greatest common divisor of 109962 and 256947. 123 What is the highest common divisor of 2351367 and 36? 9 Calculate the greatest common factor of 1412 and 1537550804. 1412 Calculate the highest common divisor of 223527 and 3957. 3 What is the greatest common divisor of 862480900 and 10568? 5284 Calculate the greatest common divisor of 10908015 and 240. 15 Calculate the highest common factor of 74784558 and 1314. 438 What is the greatest common factor of 140261 and 78023? 451 What is the greatest common divisor of 655902 and 45279? 117 Calculate the greatest common divisor of 1611 and 10744515. 9 Calculate the greatest common divisor of 304 and 70620336. 16 What is the greatest common factor of 18 and 829711269? 9 What is the greatest common divisor of 21 and 386475? 3 What is the greatest common divisor of 7954660 and 14? 14 What is the greatest common factor of 11430 and 672592? 254 What is the highest common factor of 436553621 and 7? 7 Calculate the highest common divisor of 2661236 and 81832. 212 What is the greatest common factor of 55 and 497859362? 11 What is the greatest common factor of 41522 and 69914? 26 What is the highest common factor of 15360496 and 64? 16 Calculate the greatest common divisor of 6679307 and 1. 1 Calculate the greatest common factor of 92 and 1035603796. 92 What is the highest common divisor of 14680649 and 79? 79 Calculate the highest common factor of 6221904 and 47436. 708 Calculate the greatest common divisor of 100233980 and 5368. 2684 What is the highest common factor of 12426 and 1076654912? 4142 What is the greatest common factor of 2781 and 675? 27 Calculate the greatest common factor of 189360 and 6504. 24 What is the greatest common divisor of 56 and 87789352? 56 Calculate the highest common divisor of 17927 and 29139058. 2561 Calculate the greatest common factor of 127641 and 1080477. 813 What is the greatest common divisor of 3555215 and 2514? 419 What is the highest common factor of 877 and 17703122? 877 Calculate the greatest common divisor of 1061074 and 10108. 266 Calculate the highest common factor of 7527705 and 3420. 285 Calculate the greatest common divisor of 63943080 and 60. 60 What is the highest common factor of 1220 and 3516260? 20 What is the greatest common divisor of 94 and 120972454? 94 What is the greatest common factor of 1764 and 379281? 21 Calculate the greatest common divisor of 726 and 5445066. 66 Calculate the highest common factor of 601120 and 5892640. 2080 What is the highest common factor of 105618 and 1369902? 174 Calculate the highest common factor of 523206690 and 177. 177 Calculate the highest common divisor of 15 and 26484145. 5 Calculate the greatest common factor of 1173 and 8688. 3 Calculate the highest common factor of 123585 and 186450. 165 Calculate the greatest common factor of 114925 and 25705. 5 What is the highest common divisor of 256263 and 693? 21 Calculate the greatest common factor of 18669 and 37211. 127 What is the highest common factor of 1870 and 93332448? 374 What is the greatest common divisor of 7 and 32403294? 7 Calculate the highest common divisor of 1 and 36300689. 1 Calculate the highest common factor of 354752 and 298816. 1472 Calculate the greatest common divisor of 46907 and 441. 7 What is the greatest common divisor of 574 and 9153158? 14 Calculate the highest common divisor of 11 and 12859616. 11 Calculate the highest common factor of 789 and 22119352. 263 Calculate the greatest common factor of 16562 and 5877942. 98 What is the highest common divisor of 28 and 38122875? 7 What is the h
{ "pile_set_name": "DM Mathematics" }
, 17136, 19292, 22064? 308*d**2 + 14364 What is the g'th term of -246656, -493241, -739822, -986399, -1232972, -1479541, -1726106? 2*g**2 - 246591*g - 67 What is the b'th term of -11, -7160, -19075, -35756, -57203, -83416? -2383*b**2 + 2372 What is the n'th term of 1737, 1734, 1727, 1716? -2*n**2 + 3*n + 1736 What is the f'th term of -80808, -164639, -248470? -83831*f + 3023 What is the v'th term of 3119236, 3119243, 3119254, 3119269, 3119288, 3119311? 2*v**2 + v + 3119233 What is the o'th term of -106222, -106178, -106158, -106174, -106238, -106362? -2*o**3 + 58*o - 106278 What is the c'th term of -1413, -5697, -12869, -22941, -35925, -51833, -70677? -2*c**3 - 1432*c**2 + 26*c - 5 What is the z'th term of 335, 1383, 4223, 9749, 18855, 32435, 51383, 76593? 149*z**3 + 2*z**2 - z + 185 What is the b'th term of -1111458530, -1111458531, -1111458532, -1111458533, -1111458534? -b - 1111458529 What is the p'th term of -386665, -387026, -387627, -388468? -120*p**2 - p - 386544 What is the v'th term of 46545568, 93091138, 139636708? 46545570*v - 2 What is the i'th term of 722174, 2888692, 6499556, 11554766? 722173*i**2 - i + 2 What is the o'th term of 184563, 184542, 184521, 184500, 184479? -21*o + 184584 What is the u'th term of 107046, 215985, 324924, 433863, 542802, 651741? 108939*u - 1893 What is the r'th term of 480588, 961078, 1441564, 1922046, 2402524, 2882998, 3363468? -2*r**2 + 480496*r + 94 What is the m'th term of 58579, 57661, 56743, 55825, 54907? -918*m + 59497 What is the l'th term of 2639, 22474, 76315, 181166, 354031, 611914, 971819? 2834*l**3 - l**2 - 194 What is the b'th term of -154054088, -308108177, -462162266, -616216355, -770270444, -924324533? -154054089*b + 1 What is the x'th term of -2805, -5774, -8897, -12162, -15557, -19070, -22689? 2*x**3 - 89*x**2 - 2716*x - 2 What is the c'th term of -2100, -5842, -11186, -18132, -26680, -36830, -48582? -801*c**2 - 1339*c + 40 What is the w'th term of -153, -297, -605, -1161, -2049, -3353? -14*w**3 + 2*w**2 - 52*w - 89 What is the n'th term of 12863, 24641, 36437, 48251, 60083, 71933, 83801? 9*n**2 + 11751*n + 1103 What is the j'th term of -987, -1566, -2517, -3840, -5535, -7602, -10041? -186*j**2 - 21*j - 780 What is the g'th term of 426423, 426644, 426863, 427080, 427295? -g**2 + 224*g + 426200 What is the x'th term of 2257020, 2257046, 2257072, 2257098, 2257124, 2257150? 26*x + 2256994 What is the k'th term of -28693, -51530, -74367? -22837*k - 5856 What is the u'th term of 3125, 11481, 25091, 43955? 2627*u**2 + 475*u + 23 What is the w'th term of 1587446, 3174879, 4762312, 6349745, 7937178, 9524611? 1587433*w + 13 What is the c'th term of 1971, 2156, 2337, 2508, 2663, 2796, 2901, 2972? -c**3 + 4*c**2 + 180*c + 1788 What is the u'th term of -54748, -54743, -54738, -54733, -54728, -54723? 5*u - 54753 What is the b'th term of -454741, -909471, -1364197, -1818919? 2*b**2 - 454736*b - 7 What is the c'th term of -1694869, -1694887, -1694907, -1694929, -1694953? -c**2 - 15*c - 1694853 What is the o'th term of 4484, 8958, 13440, 17936, 22452, 26994, 31568? o**3 - 2*o**2 + 4473*o + 12 What is the j'th term of -121534, -247617, -373700, -499783? -126083*j + 4549 What is the v'th term of 1080, 4724, 11618, 22434, 37844, 58520? 112*v**3 + 953*v**2 + v + 14 What is the a'th term of 186493189, 186493176, 186493149, 186493102, 186493029, 186492924, 186492781? -a**3 - a**2 - 3*a + 186493194 What is the o'th term of -1525, -2387, -3259, -4141, -5033? -5*o**2 - 847*o - 673 What is the s'th term of -20949, -41645, -62341, -83037, -103733, -124429? -20696*s - 253 What is the v'th term of -94558, -94537, -94516, -94495, -94474, -94453? 21*v - 94579 What is the m'th term of -68836, -70221, -71606, -72991, -74376? -1385*m - 67451 What is the l'th term of -14339, -22827, -25463, -22247? 2926*l**2 - 17266*l + 1 What is the n'th term of 2248, 1219, -1582, -7043, -16052, -29497, -48266? -148*n**3 + 2*n**2 + n + 2393 What is the c'th term of -403190, -403143, -403096, -403049, -403002, -402955? 47*c - 403237 What is the m'th term of 431156, 431149, 431142? -7*m + 431163 What is the v'th term of -9117, -18384, -27661, -36954, -46269, -55612, -64989, -74406? -v**3 + v**2 - 9263*v + 146 What is the t'th term of 29363, 63612, 97861, 132110, 166359? 34249*t - 4886 What is the k'th term of -48953, -49059, -49173, -49295? -4*k**2 - 94*k - 48855 What is the d'th term of -1686, -519, 2232, 7227, 15126? 110*d**3 + 132*d**2 + d - 1929 What is the o'th term of 826995, 826872, 826735, 826578, 826395, 826180, 825927? -o**3 - o**2 - 113*o + 827110 What is the j'th term of 7635, -10594, -40975, -83508, -138193, -205030? -6076*j**2 - j + 13712 What is the q'th term of 5939, 23644, 52915, 93554, 145363, 208144, 281699, 365830? -33*q**3 + 5981*q**2 - 7*q - 2 What is the u'th term of 9108, 35823, 80348, 142683, 222828, 320783? 8905*u**2 + 203 What is the a'th term of -800, -3792, -8834, -15974, -25260? -8*a**3 - 977*a**2 - 5*a + 190 What is the r'th term of -2224652, -4449362, -6674070, -8898776? r**2 - 2224713*r + 60 What is the v'th term of -18159398, -18159397, -18159396, -18159395? v - 18159399 What is the q'th term of 223894, 223165, 222436, 221707, 220978? -729*q + 224623 What is the r'th term of 9553, 19073, 28601, 38137? 4*r**2 + 9508*r + 41 What is the w'th term of -305214, -610262, -915310? -305048*w - 166 What is the c'th term of -500317595, -500317596, -500317597, -500317598? -c - 500317594 What is the a'th term of -10295002, -10294991, -10294976, -10294957, -10294934, -10294907, -10294876? 2*a**2 + 5*a - 10295009 What is the j'th term of -8576, -22910, -46808, -80276, -123320, -175946? -j**3 - 4776*j**2 + j - 3800 What is the v'th term of -263, -2427, -8301, -19733, -38571? -308*v**3 - 7*v**2 + 13*v + 39 What is the t'th term of 1658800, 3317653, 4976518, 6635401, 8294308, 9953245, 11612218, 13271233? t**3 + 1658846*t - 47 What is the p'th term of -1729938, -3459870, -5189802, -6919734, -8649666, -10379598? -1729932*p - 6 What is the g'th term of 13027141, 13027132, 13027123? -9*g + 13027150 What is the u'th term of -43616, -173029, -388716, -690677, -1078912, -1553421, -2114204? -43137*u**2 - 2*u - 477 What is the p'th term of 869563762, 1739127526, 2608691290, 3478255054, 4347818818? 869563764*p - 2 What is the u'th term of 112764, 112959, 113154? 195*u + 112569 What is the r'th term of 9831382, 9831383, 9831384? r + 9831381 What is the t'th term of 31364502, 31364504, 31364506, 31364508, 31364510? 2*t + 31364500 What is the v'th term of 1687164, 1687046, 1686928, 1686810, 1686692, 1686574? -118*v + 1687282 What is the f'th term of -63764, -127469, -191174? -63705*f - 59 What is the u'th term of -221, 62, 359, 670, 995, 1334, 1687? 7*u**2 + 262*u - 490 What is the o'th term of -12451, -22123, -31793, -41461, -51127, -60791, -70453? o**2 - 9675*o - 2777 What is the c'th term of -2881188, -2881190, -2881194, -2881200? -c**2 + c - 2881188 What is the g'th term of 2246, 17992, 60764, 144074, 281434, 486356, 772352? 2252*g**3 + g**2 - 21*g + 14 What is the f'th term of -5118, -11347, -28268, -61227, -115570, -196643? -891*f**3 + 8*f - 4235 What is the w'th term of -110901, -221798, -332697, -443598, -554501? -w**2 - 110894*w - 6 What is the u'th term of 2067, 2832, 3597, 4362, 5127? 765*u + 1302 What is the c'th term of -116419, -462938, -1040469, -1849012, -2888567, -4159134, -5660713? -115506*c**2 - c - 912 What is the n'th term of 765732, 1531456, 2297180? 765724*n + 8 What is the j'th term of -1869840, -1869876, -1869910, -1869942, -1869972, -1870000, -1870026? j**2 - 39*j - 1869802 What is the c'th term of -136, -544, -1090, -1768, -2572, -3496, -4534, -5680? c**3 - 75*c**2 - 190*c + 128 What is the f'th term of 56647, 113334, 170021, 226708? 56687*f - 40 What is the c'th term of 11201, 13330, 16879, 21848? 710*c**2 - c + 10492 What is the x'th term of 567, 5930, 20341, 48324, 94403, 163102, 258945, 386456? 754*x**3 + 85*x - 272 What is the l'th term of -123, 190, 785, 1668, 2845? l**3 + 135*l**2 - 99*l - 160 What is the r'th term of -9839, -38306, -85403, -151130, -235487? -9315*r**2 - 522*r - 2 What is the c'th term of 46815, 94312, 141843, 189426, 237079, 284820? 3*c**3 - c**2 + 47479*c - 666 What is the s't
{ "pile_set_name": "DM Mathematics" }
implify 3 + (-5*(2 + 2*sqrt(243) + sqrt(243) + sqrt(243) + sqrt(243) + 5))**2. 15750*sqrt(3) + 153103 Simplify (((-1*sqrt(182))/sqrt(7) - sqrt(26)) + sqrt(26))/(sqrt(98) + 1*sqrt(98)). -sqrt(13)/14 Simplify (5 + 3 + -3*sqrt(891)*2 + 1)**2. -972*sqrt(11) + 32157 Simplify (-5 + 5*-1*sqrt(52))**2 - (3 + (sqrt(13) + -2 + sqrt(13) + sqrt(13))**2 - (((sqrt(156)*-2)/sqrt(12))**2 + sqrt(13))). 113*sqrt(13) + 1253 Simplify ((sqrt(240)*2*4)/sqrt(8))/(-3*((-2*sqrt(12))/sqrt(2) + sqrt(6))). 8*sqrt(5)/3 Simplify 1*(-1 + sqrt(200)*2 - (sqrt(200) + (sqrt(200) + -2)*6)**2). -9945 + 1700*sqrt(2) Simplify (((sqrt(198)*-1*5)/sqrt(6))/(1*sqrt(300) + (sqrt(3) - -2*sqrt(3)*-3 - sqrt(3))))**2. 275/16 Simplify (-2 + (sqrt(567) + 1)*-5)**2 + (sqrt(140)/(sqrt(880)/sqrt(11)))**2. 630*sqrt(7) + 56903/4 Simplify (-3 + sqrt(300)*-1 - (sqrt(300) + -2 + sqrt(300) + -1) - -4*((1*(4 + sqrt(300)) - sqrt(300)) + sqrt(300)))**2. 320*sqrt(3) + 556 Simplify (-2*sqrt(375))/sqrt(3) - (sqrt(5) + (-3*sqrt(80) + sqrt(80))**2 + 3). -323 - 11*sqrt(5) Simplify 1*(2 + 5 + sqrt(539) + 1)**2*6. 672*sqrt(11) + 3618 Simplify 1*(((sqrt(847) - (sqrt(847) + sqrt(847)*-2))*5 + 0 + sqrt(847) + 5)**2 - (-3 + 0 + sqrt(847) + 1)). 1199*sqrt(7) + 102514 Simplify -5 + (sqrt(77)/sqrt(7))**2*6 + (sqrt(11)*-2 + -4 + 1*(sqrt(55)/sqrt(5) + sqrt(11)))**2. 77 Simplify (3 + 0 + sqrt(72) + sqrt(72) + 4 + -3 + sqrt(72)*2 + 3*(sqrt(72) + sqrt(72) + -1))**2. 120*sqrt(2) + 7201 Simplify -4*(1*-1*sqrt(1280))/(2*sqrt(44)/sqrt(99)). 48*sqrt(5) Simplify ((2*sqrt(96) - sqrt(96))/sqrt(2))/sqrt(6) - (-5 + sqrt(16)/sqrt(2) + 1). 4 Simplify (((sqrt(448) + sqrt(448)*3*6)**2 - sqrt(448)) + -5)*-5. -808615 + 40*sqrt(7) Simplify (sqrt(48) + (sqrt(768))**2*6 + -5*sqrt(12)/(sqrt(12)/sqrt(3)))*6. -6*sqrt(3) + 27648 Simplify (sqrt(128) + -2)**2 - sqrt(14)/(sqrt(7)*1) - (0 + sqrt(128) + -4)**2. -12 + 31*sqrt(2) Simplify -2*(5*sqrt(432)*2 - (sqrt(432) + (-5*(sqrt(432) + 1 + sqrt(432)))**2))*-4*3. -1037400 - 26208*sqrt(3) Simplify 0 + 2 + sqrt(5) + sqrt(5) + 0 - (4 + (0 + sqrt(5)*-2)**2). -22 + 2*sqrt(5) Simplify (-2*sqrt(121))/sqrt(11) + 5 + (sqrt(176)/(sqrt(32)/sqrt(4)))/sqrt(2). -sqrt(11) + 5 Simplify (3*sqrt(2662))/(-3*sqrt(2)*-6). 11*sqrt(11)/6 Simplify ((-6*sqrt(102)*1*3)/((sqrt(726) - (sqrt(726) + sqrt(726) + 1*sqrt(726) - sqrt(726)))*5))**2*2. 11016/3025 Simplify (1*(-3 + (sqrt(128) - (-3 + 0 + sqrt(128)))))**2. 0 Simplify (sqrt(84) - (sqrt(84) - 3*(-2*sqrt(84) - sqrt(84))))/sqrt(12) + (sqrt(28) - (-3*sqrt(28))**2)*5. -1260 + sqrt(7) Simplify -5 + ((1*sqrt(847)*4)**2 - (3 + sqrt(7) + (sqrt(70)/sqrt(5))/sqrt(2))**2). -12*sqrt(7) + 13510 Simplify -4*(1 + sqrt(539))*4 + -1. -112*sqrt(11) - 17 Simplify 1 + 0 + sqrt(162)*-3 + 1. -27*sqrt(2) + 2 Simplify (-1*sqrt(190)*-2*6)/(sqrt(80)/sqrt(2) - sqrt(360)*1). -3*sqrt(19) Simplify -2*(sqrt(7) - (sqrt(63) - sqrt(63)*2 - sqrt(63)))**2 + -4 + 4*(sqrt(448) + (2 + (sqrt(448) - (sqrt(448) + sqrt(448)*2)))**2). -224*sqrt(7) + 6494 Simplify 3*(sqrt(13) + -1) + (sqrt(1053)*2)**2 + sqrt(13) + sqrt(13) - (sqrt(13) + (2*sqrt(13))**2*-4 + -3). 4*sqrt(13) + 4420 Simplify (-2*sqrt(243) + 0 + (2*sqrt(243)*5 + sqrt(243) + sqrt(243) - sqrt(243)) + ((sqrt(243)*2 - sqrt(243)) + -4 + sqrt(243) - (-1 + sqrt(243) + -1)))**2. -360*sqrt(3) + 24304 Simplify (((sqrt(3)*1 - sqrt(3))*-3*4)**2 - 1*sqrt(21)/(sqrt(112) + sqrt(7) + sqrt(7))) + 2. -sqrt(3)/6 + 2 Simplify 4*(-5 + 2*(sqrt(325) + -1))**2*4*-4. -86336 + 8960*sqrt(13) Simplify (sqrt(200) + 3*sqrt(200))/(sqrt(10)*4*4)*5. 5*sqrt(5)/2 Simplify ((sqrt(42) + sqrt(42) + sqrt(42)*5)/sqrt(3))/(sqrt(14)/(sqrt(12)/sqrt(6))). 7*sqrt(2) Simplify ((sqrt(8) - (sqrt(88)*3 + sqrt(88) + sqrt(88))/sqrt(11))/(-3*sqrt(256)) + -1)**2. -sqrt(2)/3 + 19/18 Simplify (-5 + 4 + sqrt(2)*-2 - (2 + sqrt(162)*-1))**2 + 1. -42*sqrt(2) + 108 Simplify -3 + sqrt(2057) + 2 - -4*sqrt(2057)*-1. -33*sqrt(17) - 1 Simplify (-6*(sqrt(612) + sqrt(612) + -3 + (sqrt(187)*-5 - sqrt(187))/sqrt(11))*2)**2. -5184*sqrt(17) + 89424 Simplify (-1 + sqrt(7) + 2 - (sqrt(7) + ((sqrt(7) + sqrt(21)/sqrt(3) - sqrt(7))*2 - sqrt(7)) + sqrt(7)))**2 - (1 + -2*sqrt(7)*-2)**2. -84 - 12*sqrt(7) Simplify ((3 + (-1 + sqrt(68))*6)*1*-6)**2. -2592*sqrt(17) + 88452 Simplify sqrt(91)/(sqrt(700)*2) - 3*(sqrt(1872) + 1). -719*sqrt(13)/20 - 3 Simplify ((sqrt(196)*-2 + (sqrt(24)*-1)/sqrt(6))/((sqrt(162) - (-2*sqrt(162) - sqrt(162)) - sqrt(162)) + (sqrt(2) - ((sqrt(16)*2)/sqrt(8) + sqrt(2)))))**2. 18/25 Simplify ((2*sqrt(114) - sqrt(114))*-6 + sqrt(114) + -2*sqrt(114)*-5)/(sqrt(384)*-2) + -3. -3 - 5*sqrt(19)/16 Simplify -3 + -3 + -5*(3 + -2*sqrt(192) - sqrt(192))**2. -8691 + 720*sqrt(3) Simplify (((1*sqrt(550) - sqrt(550))*-3)/sqrt(10))/(sqrt(5) + sqrt(35)/(-1*sqrt(7)) - (1*sqrt(5) + sqrt(5))*-1). 0 Simplify (-4*(-2*sqrt(49) - sqrt(49)))/(sqrt(847)*2 - sqrt(847)). 12*sqrt(7)/11 Simplify (5*(sqrt(77) - sqrt(77)*2) - 2*-1*sqrt(77))/((sqrt(1584)*2 - sqrt(1584))*-5). sqrt(7)/20 Simplify (sqrt(11)*1)**2 + -3 + 3 - -1*(4*sqrt(44))/sqrt(4). 11 + 4*sqrt(11) Simplify 6*(-5 + (sqrt(162) - (2*sqrt(162)*6 + sqrt(162)))/sqrt(6)). -216*sqrt(3) - 30 Simplify (-5 + (sqrt(4050) - 3*sqrt(4050)))**2 - ((1*sqrt(600) - sqrt(600))/sqrt(12) + (2*sqrt(450))/sqrt(9)). 890*sqrt(2) + 16225 Simplify (5*(sqrt(76) + (sqrt(76) - 4*sqrt(76))) - sqrt(76))/(sqrt(400)*-1) + 5. 11*sqrt(19)/10 + 5 Simplify 0 + sqrt(567)*-1*-4 + 3. 3 + 36*sqrt(7) Simplify (-2 + sqrt(637))*-1 + (sqrt(13) - sqrt(117)*6) + 3. -24*sqrt(13) + 5 Simplify -4 + sqrt(72) + (sqrt(72) - (2 + sqrt(72))) + (sqrt(72) - ((sqrt(72) + sqrt(72)*2 - sqrt(72))*1)**2). -294 + 12*sqrt(2) Simplify ((sqrt(153) + sqrt(153)*-5 + sqrt(153))*2)/sqrt(9) - (sqrt(425)*1 - (sqrt(17)*1 + 3)). -10*sqrt(17) + 3 Simplify (3*sqrt(176))**2 + 5 + sqrt(176) + -4*sqrt(176) + 5. -12*sqrt(11) + 1594 Simplify -3 + (5*(-3*sqrt(95) - sqrt(95)))/sqrt(5) + -5. -20*sqrt(19) - 8 Simplify 2*(4*sqrt(56)/sqrt(32) + 0). 4*sqrt(7) Simplify (0 + (sqrt(88)/sqrt(2) + -2)*-4 + -3)**2. -80*sqrt(11) + 729 Simplify (sqrt(60)/sqrt(6)*4)/(sqrt(2) - 1*sqrt(200) - sqrt(2)). -2*sqrt(5)/5 Simplify -1 + (-3*(-2 + sqrt(11)) + sqrt(11) - (sqrt(11) - -4*(-1*sqrt(11) + sqrt(11)))**2). -2*sqrt(11) - 6 Simplify sqrt(95)/((sqrt(45)*-2)/sqrt(9)) + sqrt(76)*6 + 5 + sqrt(76)/sqrt(4). 5 + 25*sqrt(19)/2 Simplify -2*(-4*sqrt(252))/(sqrt(4) - sqrt(16)*2)*-6. 48*sqrt(7) Simplify (0 + 3*(3 + sqrt(3))*-6)*-5. 90*sqrt(3) + 270 Simplify 3 + 2*sqrt(7) + sqrt(28) + -4 - 2*(sqrt(56)/(sqrt(72) - sqrt(8)) + sqrt(7)). -1 + sqrt(7) Simplify (1 + (4 + sqrt(6)/sqrt(3) - (sqrt(180)/sqrt(9))/sqrt(10))*-1*-3)**2. 169 Simplify 6*(sqrt(1377) - 4*(sqrt(1377) + 1))**2 + -5. 1296*sqrt(17) + 74449 Simplify (sqrt(315)/sqrt(5)*-5)/((sqrt(81) + sqrt(81)*-4 + sqrt(81) - sqrt(81)) + sqrt(81) - sqrt(81) - sqrt(9)). sqrt(7)/2 Simplify sqrt(126)/(1*sqrt(21)/sqrt(3)) + 4 + -2. 2 + 3*sqrt(2) Simplify -5*(-1 + -5*sqrt(70)/((sqrt(90)*-1)/sqrt(9))). -25*sqrt(7) + 5 Simplify ((1*sqrt(132)/(-1*1*sqrt(12)) + 2)*-4)**2 + 4. -64*sqrt(11) + 244 Simplify 1*(1 + (-4 + 2*sqrt(567) + sqrt(567) + -1)*5)**2. -6480*sqrt(7) + 128151 Simplify (-3*-6*(6*sqrt(136)*-2 - sqrt(136))/(sqrt(56)/sqrt(7)*-6))**2. 25857 Simplify (5*(sqrt(128)*1*-6 + 3))**2. -7200*sqrt(2) + 115425 Simplify -1 + (1*sqrt(468))**2*-6 - ((sqrt(13) + 0)*2 + (sqrt(13)*-1)**2*-5). -2744 - 2*sqrt(13) Simplify sqrt(280)/(sqrt(40)/sqrt(4)) + sqrt(70)/(sqrt(10)*-1)*-6. 8*sqrt(7) Simplify ((sqrt(114) - -3*-2*sqrt(114)) + (sqrt(114) - -6*sqrt(114)*2))/(-1*sqrt(6)*1 + sqrt(30)/sqrt(5)*-6). -8*sqrt(19)/7 Simplify sqrt(50) - (sqrt(50) + (1*sqrt(600) - sqrt(600) - sqrt(600) - sqrt(600))/sqrt(12)) - ((3*sqrt(24)*-2 - sqrt(24))/sqrt(12))**2. -98 + 10*sqrt(2) Simplify ((2*sqrt(80))/sqrt(10) - (-1 + sqrt(14)/(sqrt(7)*-2)))**2 + 0. 9*sqrt(2) + 83/2 Simplify ((sqrt(132) - 1*-4*sqrt(132))*4)/(((5*sqrt(588) - sqrt(588)) + sqrt(588) - sqrt(588))*-6). -5*sqrt(11)/42 Simplify (-6*(-4 + (sqrt(98) + 1)*4 + sqrt(98) + -2*sqrt(98) + 1))**2. 1512*sqrt(2) + 31788 Simplify (5 + 0 + (sqrt(1100) - (-4 + 1*sqrt(1100))) + 3 + -5)**2. 49 Simplify (0 + -2 + sqrt(1800) + -1 + -2)**2. -300*sqrt(2) + 1825 Simplify (2 + 1 + sqrt(272) + -4*(0 + sqrt(272)) + (sqrt(272) + 0 - sqrt(272)) + 1 + -3)**2. -24*sqrt(17) + 2449 Simplify (-5 + sqrt(468) + 1 + (0 + sqrt(468))*-1)**2 + 5. 21 Simplify
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from {x: 8, h: 2, i: 3, c: 3}? 1/70 Calculate prob of sequence bm when two letters picked without replacement from mbmbbhhbmmmbmbmbmb. 32/153 What is prob of sequence hiuv when four letters picked without replacement from {v: 2, h: 1, u: 2, j: 2, l: 1, i: 1}? 1/756 Calculate prob of sequence cczc when four letters picked without replacement from {c: 9, e: 7, z: 3}. 21/1292 Calculate prob of sequence eree when four letters picked without replacement from eeeereereeee. 4/33 What is prob of sequence rvz when three letters picked without replacement from {v: 4, z: 6, r: 9}? 12/323 Four letters picked without replacement from pggphhhpghhprhgd. What is prob of sequence drhh? 1/1456 Two letters picked without replacement from {v: 3, c: 5}. What is prob of sequence cv? 15/56 Two letters picked without replacement from pnpppnnpnppppnnn. Give prob of sequence nn. 7/40 What is prob of sequence cc when two letters picked without replacement from gycgyqqc? 1/28 What is prob of sequence vww when three letters picked without replacement from {w: 2, v: 1}? 1/3 Calculate prob of sequence xe when two letters picked without replacement from hehxxxhhiehxhxhhlhx. 2/57 What is prob of sequence oop when three letters picked without replacement from {p: 10, o: 2}? 1/66 What is prob of sequence rput when four letters picked without replacement from umpuutuppupmpuumrup? 1/1938 Three letters picked without replacement from {b: 5, z: 9}. What is prob of sequence bbb? 5/182 Four letters picked without replacement from {w: 8, n: 6, o: 3}. Give prob of sequence nwow. 3/170 What is prob of sequence htzt when four letters picked without replacement from hhtzthrh? 1/210 What is prob of sequence pyyy when four letters picked without replacement from {y: 6, j: 4, p: 3}? 3/143 Four letters picked without replacement from {b: 2, j: 2, r: 2, x: 8}. Give prob of sequence xjxx. 4/143 Four letters picked without replacement from {u: 1, t: 6, g: 1, y: 2, d: 5}. What is prob of sequence tgdt? 5/1092 Three letters picked without replacement from {i: 3, c: 2}. Give prob of sequence cic. 1/10 Four letters picked without replacement from nanannajnga. What is prob of sequence ajgn? 1/396 Three letters picked without replacement from {p: 8, j: 4, g: 3, t: 1, s: 1}. Give prob of sequence psp. 7/510 Four letters picked without replacement from fxffffxxxff. What is prob of sequence ffxx? 7/110 What is prob of sequence uhh when three letters picked without replacement from {h: 5, u: 5, d: 2}? 5/66 Calculate prob of sequence dhww when four letters picked without replacement from {w: 5, d: 1, h: 14}. 7/2907 Two letters picked without replacement from bbzb. Give prob of sequence bz. 1/4 Calculate prob of sequence aaqa when four letters picked without replacement from {q: 12, a: 7}. 35/1292 What is prob of sequence brbb when four letters picked without replacement from {c: 4, o: 6, b: 3, r: 1, m: 1}? 1/5460 Calculate prob of sequence ss when two letters picked without replacement from cscscss. 2/7 Three letters picked without replacement from kkcccppc. What is prob of sequence kpc? 1/21 What is prob of sequence bcc when three letters picked without replacement from {q: 1, c: 2, h: 1, x: 1, b: 2, d: 1}? 1/84 Calculate prob of sequence ccw when three letters picked without replacement from rcywcwc. 2/35 Calculate prob of sequence vyh when three letters picked without replacement from {x: 10, t: 1, u: 3, y: 2, v: 2, h: 2}. 1/855 Four letters picked without replacement from biibaaibii. Give prob of sequence aiib. 1/42 What is prob of sequence oo when two letters picked without replacement from eeeeeoeeoee? 1/55 What is prob of sequence qqz when three letters picked without replacement from {q: 5, z: 8}? 40/429 Four letters picked without replacement from zsszzkkzzs. Give prob of sequence zksz. 1/42 Two letters picked without replacement from {b: 1, o: 1, c: 2}. Give prob of sequence bo. 1/12 Two letters picked without replacement from ygygzybzyzzvzzg. Give prob of sequence gz. 3/35 What is prob of sequence pc when two letters picked without replacement from ccpcccccccccccccccc? 1/19 Two letters picked without replacement from {d: 1, e: 3}. Give prob of sequence ed. 1/4 Three letters picked without replacement from {x: 2, m: 1, a: 4, d: 3, o: 1, n: 1}. Give prob of sequence mdd. 1/220 What is prob of sequence rxx when three letters picked without replacement from {p: 1, v: 4, r: 1, x: 2}? 1/168 What is prob of sequence wrh when three letters picked without replacement from gorxhwxg? 1/336 What is prob of sequence hhfx when four letters picked without replacement from fhxxhxxhxxxxhhhxhxxh? 77/14535 Three letters picked without replacement from {m: 2, a: 1}. What is prob of sequence mam? 1/3 Calculate prob of sequence yybc when four letters picked without replacement from ccscycuulysubyu. 1/1365 Three letters picked without replacement from ddddcddccdddddcccd. Give prob of sequence ddc. 11/68 What is prob of sequence rrjd when four letters picked without replacement from {i: 1, d: 7, r: 6, j: 6}? 7/646 Two letters picked without replacement from qooolvaoqoqlqovoa. What is prob of sequence qv? 1/34 What is prob of sequence yo when two letters picked without replacement from qpqlblppyqpo? 1/132 What is prob of sequence fvfg when four letters picked without replacement from fvfgffhg? 1/70 Calculate prob of sequence obga when four letters picked without replacement from ocbccbcaga. 1/1260 Calculate prob of sequence ii when two letters picked without replacement from {w: 5, i: 5}. 2/9 Calculate prob of sequence nddq when four letters picked without replacement from {s: 1, b: 1, n: 10, d: 5, q: 1, r: 1}. 25/11628 Two letters picked without replacement from {w: 5, j: 2, e: 2, g: 11}. Give prob of sequence gg. 11/38 Calculate prob of sequence sfff when four letters picked without replacement from yyfyyyssffyyyif. 2/1365 Calculate prob of sequence bvvv when four letters picked without replacement from {b: 4, v: 5, d: 1}. 1/21 Calculate prob of sequence yfoo when four letters picked without replacement from fiyoiiofiffryi. 2/3003 What is prob of sequence fr when two letters picked without replacement from {f: 10, r: 3, e: 1, a: 1, b: 3, q: 1}? 5/57 Two letters picked without replacement from {y: 1, c: 1, w: 1}. Give prob of sequence cy. 1/6 What is prob of sequence euv when three letters picked without replacement from {b: 1, k: 1, u: 3, v: 1, e: 1}? 1/70 Three letters picked without replacement from {a: 1, h: 2, o: 7}. What is prob of sequence aoo? 7/120 Three letters picked without replacement from {x: 9}. Give prob of sequence xxx. 1 Two letters picked without replacement from {t: 5, f: 2}. Give prob of sequence ff. 1/21 What is prob of sequence kkd when three letters picked without replacement from dkkddkdd? 5/56 Three letters picked without replacement from adwdadwdddadwdadbdw. Give prob of sequence awd. 80/2907 Four letters picked without replacement from iicyiiciii. What is prob of sequence iyii? 1/24 Calculate prob of sequence vb when two letters picked without replacement from {w: 2, n: 2, v: 1, b: 1}. 1/30 What is prob of sequence ho when two letters picked without replacement from {h: 2, g: 2, p: 2, o: 2}? 1/14 Four letters picked without replacement from {v: 4, s: 2, w: 1, t: 3, j: 2}. Give prob of sequence tttj. 1/990 What is prob of sequence juqq when four letters picked without replacement from {j: 2, u: 1, b: 2, s: 1, q: 4}? 1/210 Four letters picked without replacement from immmzrmrmmmimmmmrir. What is prob of sequence imzr? 11/7752 What is prob of sequence cvs when three letters picked without replacement from {v: 2, s: 2, g: 1, c: 6, l: 1}? 1/55 Three letters picked without replacement from lnbnnbgbbkkb. Give prob of sequence kkg. 1/660 Three letters picked without replacement from {o: 5, j: 1, w: 1, h: 11, p: 2}. What is prob of sequence whp? 11/3420 Three letters picked without replacement from {u: 3, x: 1, a: 2, c: 7, e: 1, s: 3}. What is prob of sequence css? 7/680 Two letters picked without replacement from zzppppppppppzpp. Give prob of sequence zp. 6/35 Two letters picked without replacement from wggjobjr. Give prob of sequence br. 1/56 Three
{ "pile_set_name": "DM Mathematics" }
t(7920))/sqrt(405). 13*sqrt(11)/9 Simplify 1 + ((sqrt(156) + sqrt(156) + sqrt(156) + sqrt(156)*1)/sqrt(12) - (1 + sqrt(117))). sqrt(13) Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77)*-2 - sqrt(77))*-1) + sqrt(77) + sqrt(77))*2)/(-2*2*sqrt(7) + sqrt(63)*5). 2*sqrt(11)/11 Simplify 5 + 3 + -1*sqrt(2299) + -5*(sqrt(2299) + -2)**2. -11507 + 209*sqrt(19) Simplify 2*(sqrt(21)/(sqrt(60)/sqrt(5)) - ((-1*sqrt(448)*-5)**2 + sqrt(448))). -22400 - 15*sqrt(7) Simplify (4 + -5 + sqrt(300) + 0 + 0 + sqrt(300) + -3)**2. -160*sqrt(3) + 1216 Simplify 3 + (0 + sqrt(448) - 2*sqrt(175))**2. 31 Simplify (sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99)*3*4) - sqrt(99))/sqrt(9) - (2 + sqrt(891)*-1). -5*sqrt(11) - 2 Simplify ((sqrt(57) - -6*sqrt(456)/sqrt(8))/((sqrt(72)/sqrt(3))/sqrt(8)))**2. 931 Simplify (((sqrt(180)/(sqrt(36)/sqrt(4)))/sqrt(2))/(1*sqrt(162)*-4))**2. 5/1296 Simplify -6*-2*(sqrt(136) + sqrt(136) + 4*3*sqrt(136) + sqrt(136))/sqrt(8). 180*sqrt(17) Simplify sqrt(304)*2*1 + -1 + (-1 + 3*sqrt(19) - sqrt(19) - (sqrt(76) + -5))**2. 15 + 8*sqrt(19) Simplify (((-6*-2*sqrt(21))/((sqrt(560) - sqrt(35) - sqrt(35))/sqrt(5)) + -5)*-5)**2. -1500*sqrt(3) + 3325 Simplify 2*(sqrt(700) + (sqrt(700) - -3*(sqrt(700)*-3 - sqrt(700)))**2 - ((sqrt(700) - (sqrt(700) + 1)*-3) + sqrt(700))**2)*-1. -134382 + 580*sqrt(7) Simplify (sqrt(153) + 1*(sqrt(153) + sqrt(153)*-2) + (1*sqrt(153) - sqrt(153) - sqrt(153))*-1)/(sqrt(108)/(sqrt(12) + 5*-2*sqrt(12))). -9*sqrt(17) Simplify (6*(sqrt(50)/sqrt(2) + sqrt(25)) + -5*sqrt(225))/(sqrt(45)/(sqrt(144)*3)). -36*sqrt(5) Simplify ((sqrt(5) - (sqrt(720) + 1) - (0 + sqrt(320))) + 2*sqrt(605) + 5 + sqrt(80))**2. 56*sqrt(5) + 261 Simplify (2*sqrt(14)*6)/(sqrt(14)/(sqrt(7) + (sqrt(7) - (sqrt(28)/sqrt(4) - sqrt(7))))). 24*sqrt(7) Simplify (1*sqrt(20)*6)/((sqrt(196) - (sqrt(196) + sqrt(196)*-1)) + sqrt(196)) + 0 + -2*-1*sqrt(405). 129*sqrt(5)/7 Simplify (sqrt(171)/(sqrt(12)/sqrt(4)))/(sqrt(3) - sqrt(300)*-1) + -1. -1 + sqrt(19)/11 Simplify (4*sqrt(200)/sqrt(5))/(sqrt(32)/sqrt(16)). 8*sqrt(5) Simplify ((-1 + sqrt(2) + 3 + -2)*1 + -3)**2*-3. -33 + 18*sqrt(2) Simplify ((sqrt(448) + sqrt(448)*-4)*-1 + 3 + sqrt(448) + -1 + 2)**2*-5. -35920 - 1280*sqrt(7) Simplify (-2*sqrt(891) + 3 + (0 + sqrt(539) - sqrt(539)) + 2)**2. -180*sqrt(11) + 3589 Simplify -1 + -4*(1 + sqrt(76) + -3) + (4*sqrt(76)*-2 + sqrt(76) - (-3 + (sqrt(76) - (sqrt(76) + sqrt(76)*-1 + sqrt(76) - sqrt(76))))**2). -78 - 10*sqrt(19) Simplify (2*sqrt(147)*-5 + sqrt(147)*-1 + sqrt(147) + -1)**2 + -1. 140*sqrt(3) + 14700 Simplify 6*-5*(-1*(-3 + sqrt(1573))**2 - sqrt(1573))*2. -3300*sqrt(13) + 94920 Simplify (2 + sqrt(171) + 2 + sqrt(171) + sqrt(171) - (sqrt(171)*2 - sqrt(171))*4)**2 + 1. -24*sqrt(19) + 188 Simplify 4 + 0 + -5*3*sqrt(343) + -2. -105*sqrt(7) + 2 Simplify (1*sqrt(20))/sqrt(10) + 4 + 3 + (1 + sqrt(72) - sqrt(72))**2 + 4. sqrt(2) + 12 Simplify sqrt(42)/(sqrt(240)/sqrt(10)) - (-2 + sqrt(7) + (-2*sqrt(7) - sqrt(7)))*3. 6 + 13*sqrt(7)/2 Simplify 1 + (3*(sqrt(1053) + 0 + sqrt(1053) + sqrt(1053)) + sqrt(1053) + 6*(sqrt(1053) + -1 + sqrt(1053)) + sqrt(1053))**2. -2484*sqrt(13) + 557074 Simplify (sqrt(972) + ((sqrt(972) - sqrt(972)*-2) + sqrt(972))*-5 - sqrt(972))/((sqrt(18)/sqrt(18) - sqrt(9)) + 1*(sqrt(9) + 1*sqrt(9))). -90*sqrt(3) Simplify -5*(5*sqrt(36)*-2)/(sqrt(192) + sqrt(192)*1). 25*sqrt(3)/4 Simplify 1 + (sqrt(1210) + sqrt(1210)*-1 + sqrt(10))/(sqrt(125) + -2*sqrt(125)) + 1. -sqrt(2)/5 + 2 Simplify -4*(-1 + sqrt(13) + -2 + 5 + (((sqrt(1573) + 1 - sqrt(1573)) + sqrt(1573) - sqrt(1573))**2 - sqrt(104)/(sqrt(8) - sqrt(128)))). -16*sqrt(13)/3 - 12 Simplify (sqrt(2916)*1 - (-1*sqrt(180))/sqrt(5))/(-6*sqrt(768)*-3). 5*sqrt(3)/72 Simplify (-2*sqrt(125)*-6 + ((sqrt(125) + 2 + sqrt(125))*4)**2)*1. 700*sqrt(5) + 8064 Simplify ((-2 + sqrt(1216) + 1)*5 + -2)**2 + -1. -560*sqrt(19) + 30448 Simplify (sqrt(39)/(sqrt(3) + sqrt(12)) - (sqrt(39)/sqrt(108))**2) + -5*sqrt(52)/((sqrt(16) + sqrt(4) - sqrt(4))*2). -11*sqrt(13)/12 - 13/36 Simplify ((sqrt(171) + -6*(sqrt(171)*-2 - sqrt(171)))*-2)/(((sqrt(729) + (sqrt(729)*-1 - sqrt(729)))*3 - sqrt(729)) + sqrt(729)). 38*sqrt(19)/27 Simplify (sqrt(96)/(sqrt(128)*-3))/((sqrt(8)*1*-4)/sqrt(2)). sqrt(3)/48 Simplify -2 + (sqrt(2299) - (-1*sqrt(2299) + -4)**2)*2. -4632 - 154*sqrt(19) Simplify -1 + (-3*-4*sqrt(68)*2)**2. 39167 Simplify (-4 + ((sqrt(243) + sqrt(243)*-2)**2 - ((sqrt(72)/sqrt(4))/sqrt(6) - sqrt(18)/(sqrt(6)*-1))))*-4. -956 + 8*sqrt(3) Simplify ((-4*sqrt(132) - sqrt(132))*4 - sqrt(132) - sqrt(132))/(sqrt(84)/(-3*sqrt(7))). 66*sqrt(11) Simplify (sqrt(168)/(sqrt(144)/(sqrt(12)*-2)))/(1*(sqrt(2) - sqrt(10)/(sqrt(5)*2))). -4*sqrt(7) Simplify ((sqrt(117) - (sqrt(117) + 0 + -1)) + -1*sqrt(117)*1)*-4 + -1. -5 + 12*sqrt(13) Simplify (2*sqrt(99) + -1)**2 - (-4*(sqrt(11) - ((sqrt(44)*1)/sqrt(4) - sqrt(11))))**2. -12*sqrt(11) + 221 Simplify (5 + sqrt(405) + -2 - (5 + sqrt(405)*-1))**2 + 4. -72*sqrt(5) + 1628 Simplify ((sqrt(275) + -2 + -1*sqrt(275))*2*-4*2)**2*-3. -3072 Simplify 2*(-4*-4*sqrt(77))/(sqrt(7) - (sqrt(7) + sqrt(112))*5). -4*sqrt(11)/3 Simplify -4*(0 + (sqrt(99) - -4*(sqrt(99) + 1) - sqrt(99)) + 0 + sqrt(99) + sqrt(99) + 1)**2. -14356 - 720*sqrt(11) Simplify ((2*sqrt(91))/sqrt(7))**2 + -2 + 3*((1*sqrt(13))**2 + -1). 86 Simplify (sqrt(5445) - (1*sqrt(5445)*-6 - sqrt(5445)))/(sqrt(729) + (sqrt(729) - sqrt(729)*-2) + -1*sqrt(1089)). 88*sqrt(5)/25 Simplify 2*1*-1*(sqrt(147) + (sqrt(147) + 0 + sqrt(147))*-3)*-5. -350*sqrt(3) Simplify (sqrt(1296)*-1*4)/((-2*sqrt(12) - sqrt(12))*-1 - 3*sqrt(192)). 8*sqrt(3)/3 Simplify -1*(-1 + 2*(sqrt(68) + 1 + -4)). -4*sqrt(17) + 7 Simplify ((sqrt(2112)*5)/(sqrt(11) - sqrt(396)*5))**2. 4800/841 Simplify (-3 + (4*sqrt(176) - (sqrt(11) - 1*sqrt(891)) - (sqrt(176)*-2)/sqrt(4)))**2. -168*sqrt(11) + 8633 Simplify (3 + 1*sqrt(891)*4 + sqrt(891) + -2 + 2)**2. 270*sqrt(11) + 22284 Simplify (-3*(-5 + sqrt(684) + -1 + -2*2*sqrt(684) + sqrt(684))*2)**2. 5184*sqrt(19) + 99792 Simplify (2*(sqrt(288) - (sqrt(288) - (sqrt(288)*-1 + 4)))*5)**2*6. -57600*sqrt(2) + 182400 Simplify 3*5*(3 + sqrt(242) - sqrt(242))*-5. -225 Simplify 3*-1*sqrt(720) + ((sqrt(720) + -1)*-4)**2. -420*sqrt(5) + 11536 Simplify ((sqrt(208) + 1 + -4)*-2 + (0 + sqrt(208) + 0 + sqrt(208)*-1 + 5)**2)*-6. -186 + 48*sqrt(13) Simplify (-5*((sqrt(294) - sqrt(294)*-3) + sqrt(294)))/(sqrt(147) - (4*sqrt(147)*5 + sqrt(147)) - sqrt(147)). 25*sqrt(2)/21 Simplify 6*(sqrt(55)/(sqrt(11) + sqrt(33)/sqrt(3)) + 3 + 5). 3*sqrt(5) + 48 Simplify (1*((sqrt(66) - (sqrt(66) + sqrt(66)*-3))*-5 - sqrt(66)))/((sqrt(72)/sqrt(2))/sqrt(6) + (sqrt(6) - -1*sqrt(24)/sqrt(4))). -16*sqrt(11)/3 Simplify (3*(-2*sqrt(5000) - sqrt(5000)))**2 + ((sqrt(32) + 1)*3 + -4*2*sqrt(32))**2. -120*sqrt(2) + 405809 Simplify (3*-2*(sqrt(114) + 3*sqrt(114) + sqrt(114)))/(sqrt(294)*-2 - (sqrt(6) + (sqrt(6) - (sqrt(150) - ((sqrt(150) - sqrt(150)*-1) + sqrt(150)))))). 15*sqrt(19)/13 Simplify ((sqrt(3744) - (sqrt(3744)*-2*1 - sqrt(3744)))/(sqrt(162) + sqrt(162)*-2*-4 + sqrt(162))*4)**2. 13312/225 Simplify ((sqrt(2057) + sqrt(2057)*2 + 2 - sqrt(2057))*-6 - 6*-1*sqrt(2057)*-6)**2. 12672*sqrt(17) + 4739472 Simplify -4 + ((sqrt(378)/(sqrt(27)/sqrt(3)))/sqrt(6) - (-1 + sqrt(175))*5). -24*sqrt(7) + 1 Simplify (((sqrt(288) - ((sqrt(288) - -1*sqrt(288)) + sqrt(288)))*-1 + sqrt(288) + sqrt(288))/((sqrt(63) + sqrt(126)/sqrt(2))/sqrt(7)) + 4)**2 + -1. 64*sqrt(2) + 143 Simplify -3*(sqrt(25)*1*-2)/((sqrt(150)/sqrt(10))/sqrt(3)). 6*sqrt(5) Simplify (-2*(-4 + 0 + sqrt(833) + 2 + (0 + sqrt(833) + -5 - sqrt(833))))**2. -392*sqrt(17) + 3528 Simplify (sqrt(96)/sqrt(72) - -1*sqrt(300))/(-1*sqrt(4)*-2*-6). -4*sqrt(3)/9 Simplify ((sqrt(95) + (sqrt(95) + 5*2*sqrt(95) + sqrt(95) - sqrt(95) - sqrt(95)))/(-1*sqrt(405)) + 3)**2. -22*sqrt(19)/3 + 3028/81 Simplify (-1*sqrt(833)*2 + (-2*((sqrt(68) - sqrt(68)*-2) + sqrt(68)))**2)*-3. -13056 + 42*sqrt(17) Simplify 4 + (-6*1*sqrt(1900))**2 + -4. 68400 Simplify (-5*-2*sqrt(425) + -6*1*sqrt(425) + 2)**2. 80*sqrt(17) + 6804 Simplify (-3*((((sqrt(14) - sqrt(28)/sqrt(2))*5 - sqrt(14)) + sqrt(14) - sqrt(14)) + sqrt(14)))/((2*sqrt(18)*-1)/sqrt(9)). 0 Simplify (sqrt(240)/sqrt(4)*1)/(sqrt(1452)*-1) + -5. -5 - sqrt(5)/11 Simplify ((sqrt(187) - (sqrt(187) - (sqrt(187) - (sqrt(187) - sqrt(187)*4*-6))))*2)/(sqrt(121)/sqrt
{ "pile_set_name": "DM Mathematics" }
0.3 (b) w (c) 1 (d) 1/3 a Suppose 6237 = 20*f - 3903. Let o = f - 2532/5. Let s be (2/(-6))/(4/6). What is the closest to -2/11 in 5, o, s? s Let x = 1126/515 + -28045/9991. Let c = x - -2/97. What is the closest to -2 in 0.5, c, -0.3? c Let g = 24 - 24.2. Suppose 4*s + 2*n - 8 = 0, -s = 4*n - 372 + 356. What is the closest to 0 in g, -3, 8, s? s Let v = 1992 - 1991.5. What is the nearest to 2/7 in -0.31, v, -1? v Let o = -4.804799 - 0.195201. Let c = 197/132 - 8/33. What is the nearest to -1 in c, -0.5, o, 34? -0.5 Let s = -831 + 826.37. Let g = -1.63 - s. Which is the nearest to 1/4? (a) 2 (b) g (c) -82 a Let w = 187 + -103. Let m = w - 84. What is the closest to m in 0, -7/5, -0.1? 0 Let n = -1443 + 1448. Let m = -0.156 + 2.156. What is the nearest to -0.2 in n, 3, m, -0.6? -0.6 Let l be (-4)/2 - (-35)/(-2). Let v = l - -18. Let i = 1494 - 1497. Which is the closest to 1/4? (a) 0.2 (b) v (c) i a Let i = 4.1 - 4. Let j(s) = -30*s + 935. Let w be j(31). Which is the nearest to -5? (a) i (b) w (c) 4 a Let u = -870.3 + 869.8. Which is the nearest to -0.3? (a) u (b) 6 (c) -14 a Suppose 7*c - 180 = 3*c. Suppose 2*q - c = -23. Suppose k = q - 10. What is the nearest to -2 in k, 0, -2/5? -2/5 Let d = 1021 + -608. Let o = 416 - d. What is the closest to 1 in 54, o, -3? o Suppose 6 = -3*g - 6. Let t = -58897.5 + 58897. What is the nearest to 7/2 in 4, g, t? 4 Let w = 9 - 13. Let o = w + 6. Suppose -434*x + 224*x = -218*x - 40. What is the nearest to 2.6 in o, x, 2/15? o Suppose 29*f - 9 = 20*f. Let m = -223.94 - -224. Which is the closest to f? (a) m (b) -4 (c) 1 c Let j = 37351 + -37356. Let k be 5/(-2) + 3/(-6). What is the nearest to -1 in -0.1, j, k? -0.1 Let q be (-9)/18*64/176. Let n = -7.5 - -7. What is the nearest to -9 in -0.4, q, n? n Let i = -8876.4 + 8876. What is the nearest to i in 0, -2/5, -1/131? -2/5 Let h = -997 - -900. Let z be (2 + (-42)/18)/1. What is the nearest to -1/4 in z, -2/3, h? z Let y be 45/(-148) + (-300)/(-5550). Let m be (-40)/(3/(1 + -2)). Let s = 13 - m. Which is the closest to y? (a) -3 (b) s (c) 2/13 b Let t = -17.819 + 17.779. Which is the closest to 0.4? (a) 1/3 (b) 12/7 (c) 1 (d) t a Let n = -71 + 126. Let o = -54.7 + n. Let c = -1.1 - -0.5. What is the closest to -1 in o, 2/15, c? c Let y = 5963 - 5958. Which is the nearest to 3/10? (a) 0 (b) -8 (c) y a Let d be ((-29)/((-19285)/(-76)))/((-4)/(-10)). What is the closest to 2 in 6, 64, d? d Let a be 1/(-5 + (-64)/(-12)) + (-320)/108. What is the closest to a in -4, 2, -5/2? 2 Let q = -138 + 129. Let u = q + -3. Let y = u - -9. Which is the nearest to 4/5? (a) y (b) 2 (c) 2/7 c Let z be -3 + (4/762)/((-17)/(-9741)). Let u = 249/635 + z. What is the closest to u in 0.1, -0.2, 2? 0.1 Let y = -4729 - -23647/5. What is the closest to -1 in -6, -0.13, y, 1? -0.13 Let w = -4214 - -4181.43. Let v = -0.77 - w. Let f = -31 + v. Which is the closest to 1? (a) f (b) -5 (c) -2/5 a Let y = -772/9 - -86. Let f = 0.821 + -4.821. Which is the closest to 6? (a) f (b) y (c) 3 c Let g = -265313.4 - -265313.7. Let r be (-4)/(-3) + 1/(-1). Let l be 1*-1 - (-8)/10. Which is the nearest to l? (a) g (b) r (c) 0 c Let c = 679 + -324. Let y = c - 4613/13. Suppose -5 + 1 = -4*r. What is the nearest to -0.1 in -0.6, y, r? y Let j = 0.6 + -0.62. Let t = 0.02 + j. Let q = -15412 + 15412.1. What is the closest to q in -5, 2, t? t Let j = 3.85 - -12.15. Let w(r) = -r**3 + r**2 - r. Let u be w(1). What is the nearest to u in j, 3, -4? -4 Let b = -3 - -4. Let w(m) = 3*m**2 + 18*m + 19. Let x be w(-5). Suppose -5*r + 16 = -9*r + x*k, 3*r + 16 = 4*k. What is the closest to r in -0.1, b, 0.5? -0.1 Let w be (-6)/(35/10 - 2) - 30/2. Which is the closest to -1/4? (a) w (b) 4 (c) -5 b Let j = -2146.2 - -2146.5. Which is the nearest to 2/7? (a) j (b) -91 (c) 6 a Let v be ((-90)/(-35) - 3) + (-27)/(-63). What is the closest to v in -1.4, 0.02, 3? 0.02 Let s = 759/2 + -371. Let n = 1855 - 1852. Which is the nearest to s? (a) 1/8 (b) 1/3 (c) n c Let f = -526773 + 526774. Let k = 0.04 - 3.04. Suppose -5*r = -6*r + 2. What is the nearest to f in r, k, 0.3? 0.3 Let a = 40659.04 + -40659. Let o be 1/(-3) + 2 + -2. What is the closest to 0 in a, -5, o? a Let c = -80 + 62. Let f = c + 16. What is the nearest to -0.2 in f, -2/3, -0.1? -0.1 Let s = 218/5 - 44. Let d = 91 - 90. Suppose -15 = 7*x - d. Which is the closest to s? (a) 0.06 (b) -0.3 (c) x b Let u = 21 - 25. Let f = 0.2 + 0.3. Let z be (-48 - -43) + (-11)/(-2). Which is the closest to z? (a) u (b) -6 (c) f c Let t = 4/1267 - 5088/6335. Which is the nearest to -0.151? (a) t (b) -2 (c) 0 c Let n = -220 + 140. Suppose -i - 21 = x + 2*i, -2*i - 46 = 2*x. Let v be (-20)/x*(-36)/n. What is the closest to -1 in v, 7, 0.5? v Suppose 22*i - 23*i - 34 = -5*x, 2*i + 28 = 5*x. Which is the nearest to 0.1? (a) -1/6 (b) 2 (c) x a Let z = -24119 + 24119. What is the nearest to -2/5 in 20, z, 5, -0.5? -0.5 Let r = -1918.8 + 1913.8. Let g = 0.6 + -0.1. What is the nearest to -5/2 in r, g, -1? -1 Let q = -144659 - -144664. Let v = -1 + 9. Which is the nearest to v? (a) 2 (b) 0 (c) q (d) 0.2 c Suppose -12 = -3*x - x. Let q = -233 + 230. Which is the closest to x? (a) q (b) 4/7 (c) 0.3 b Suppose -o = 4*k - 3, 5*o + 2*k = -36 + 15. Let t = -4.1 + 0.1. Let l = -22 + 22. Which is the closest to -0.1? (a) o (b) l (c) t b Let h be -11 + 24/1 + -17. Which is the nearest to -2/7? (a) -2/5 (b) -3/2 (c) h (d) -3 a Let v = -4147/10380 + -1/2076. Which is the nearest to -9? (a) v (b) -0.1 (c) -0.2 (d) -1/2 d Let y = -207 + 197.4. Let r = y - -9.6. Which is the nearest to r? (a) 4 (b) 0.09 (c) -0.5 b Let g = 51.157 + -50.857. Let h = 203/12 - 65/4. Which is the nearest to h? (a) 9 (b) g (c) -1 b Suppose -264 = 226*p - 230*p. Suppose -3*a - p = -90. What is the nearest to a in 1.1, 3, 0.1? 3 Let w be ((-30)/360)/((-1)/((-2)/3)). Let g = 2/45 - w. Let p = 2 + 1. Which is the closest to -0.1? (a) -4 (b) p (c) g c Let r = 22116 - 22111. Which is the nearest to -2? (a) 20 (b) r (c) 3/11 c Let v be (25/(-10))/((-460)/(-69)). Which is the closest to 2? (a) 3 (b) v (c) 2/31 a Let o be (-3*(-2)/(-42))/(1/(-101)). Let m = -209/14 + o. Which is the nearest to -1? (a) 37 (b) 4 (c) m (d) -3 c Let z = 1 + -0.991. Let l = 2.407 + -7.416. Let i = z + l. What is the nearest to 0 in 17, -0.4, i? -0.4 Let z = 6418/9 + -713. Let j = -3.65 - -3.75. What is the closest to -2/3 in z, 3, j? j Let z be (-1827)/(-377) + (-8)/(-52). Which is the nearest to -12/7? (a) -2 (b) z (c) -3 (d) -7 a Let v = -3.9 + 4. Let u = 7061 - 7065. What is the nearest to -1 in 0, v, u? 0 Suppose 5*u - 2*u = -2*l - 460, -l + 617 = -4*u. Let o be 5 - 0 - u/(-33). What is the nearest to 2/5 in -2, o, 49? o Let w(j) = 2*j**2 - 8*j - 5. Suppose 0 = 41*y - 48*y + 35. Let n be w(y). Which is the nearest to -1/3? (a) -1 (b) -0.9 (c) n b Let b = 289.353 + 0.647. Let o = -290.2 + b. What is the closest to -2/7 in o, 3, 7? o Let a be (-43)/9 + (-4)/18. Let z be (-2)/(-5)*270/189. Let s = 2/185 + 551/370. What is the closest to 1/3 in s, z, a? z Let s = 184.184 - 184. Let d = 0.284 - s. Which is the closest to d? (a) 1/8 (b) -3/5 (c) -2 a Suppose -5*g + 4*z - 37 = 0, -3*z = -3*g - 0*g - 24. Let w = 1.29952 - -6.70048. Which is the closest to w? (a) g (b) 5 (c) -0.02 b Let z = -9.06 - -9. Let p = 0.2 + 0.2. Let u = -3681 + 3684. Which is the closest to u? (a) p (b) z (c) -0.1 a Let h = 6.3 - 3.3. Let t be -2 + 3 + -2 + 1. Let b = 11.3 - 11.1. What is the closest to b in 0.5, t, h? t Let v = -74.77 - -108.77. Let w = -10 + 6. What is the closest to 0 in -5, v, w? w Let v = 1241 - 847. Let w = -1189/3 + v. What is the nearest to -1/3 in w, 5, 0? 0 Let a = 83.169 + 0.331. Let d = a - 84. Let j be (-8)/(-16)*8/2. What is the closest to j in 1/5, d, 2? 2 Let p be 5 - (-5 + (-19)/(6 + (-98)/12)). What is the nearest to 0.2 in p, -0.4, 0.4? 0.4 Let j = 0.255 + -28.855. Let v = -28.8 - j. Which is the closest to -1? (a) -0.02 (b) -7 (c) v c Let r = 16.3 + 3.7. Let c = r + -20. What is the closest to 0.1 in -5, 2/33, c? 2/33 Suppose 24 - 24 = -72*c. What is the closest to c in -2/21, -4, -0.6, -0.4? -2/21 Let o = 5 - 4.6. Let x = 52
{ "pile_set_name": "DM Mathematics" }
-25 divided by 2020269 -25/2020269 Divide 10798467 by 269. 40143 Calculate 3826345 divided by 1. 3826345 -396 divided by 176982 -66/29497 What is -2678294 divided by 1? -2678294 Divide -5526960 by 2763480. -2 What is 212225225 divided by 31? 6845975 Divide -4551261 by -13. 350097 What is -13791972 divided by 6? -2298662 Divide 2812392 by -1. -2812392 -1028 divided by -5117 1028/5117 -339 divided by -150023 339/150023 115183968 divided by 6 19197328 3 divided by 13378144 3/13378144 -33982940 divided by 20 -1699147 Calculate 19 divided by 3445386. 19/3445386 Divide 8190 by -8575. -234/245 Calculate -2 divided by -136731996. 1/68365998 Divide 0 by 1095790. 0 What is 7492671 divided by 1? 7492671 What is 23790294 divided by 1321683? 18 What is 136275392 divided by 17034424? 8 -197978240 divided by -2 98989120 What is -112672203 divided by -1? 112672203 Calculate -111139890 divided by 145. -766482 Divide -119367625 by 425. -280865 58389148 divided by -1 -58389148 Calculate -57156 divided by -8. 14289/2 -72342675 divided by 9 -8038075 What is 143107 divided by 2001? 143107/2001 What is 363771304 divided by 61? 5963464 Divide 1509824 by -761. -1984 What is -39297 divided by 58? -39297/58 What is -5 divided by 19159526? -5/19159526 13615390 divided by 13 13615390/13 6335989 divided by 9 6335989/9 Divide 441540 by 180. 2453 Divide -4479 by -1108. 4479/1108 Divide -414586 by 256. -207293/128 What is 3049523 divided by 8? 3049523/8 Divide -13192873 by -6. 13192873/6 What is -2928556 divided by -2? 1464278 What is 3 divided by 37127484? 1/12375828 Calculate 13613301 divided by 13613301. 1 Divide 10158208 by -244. -41632 What is -214 divided by -431098? 107/215549 Calculate 28 divided by -17077. -28/17077 Calculate -832416333 divided by -12523. 66471 What is 203481213 divided by 1? 203481213 Divide 3209163 by 12. 1069721/4 Calculate 233934 divided by -2. -116967 What is -126712764 divided by -7039598? 18 What is -36417 divided by -33? 12139/11 -517837 divided by 15 -517837/15 231 divided by -202110 -77/67370 Divide 24070 by -2339. -24070/2339 Divide 195160 by -28. -6970 4752510 divided by 610 7791 Divide -3808543 by -3. 3808543/3 Divide -1185 by 23842. -1185/23842 Calculate 194300638 divided by 957146. 203 Calculate 925407 divided by -3. -308469 What is 59 divided by -18003? -59/18003 -621336850 divided by -1525 407434 Calculate 10411578 divided by 5994. 1737 What is -12 divided by -600407? 12/600407 Divide -2 by -207812034. 1/103906017 What is -4929561 divided by -4929561? 1 What is -232300629 divided by -8603727? 27 Calculate 4127 divided by 59326. 4127/59326 -248 divided by 46077 -248/46077 What is -11 divided by 1572371? -11/1572371 723684236 divided by 1078516 671 Divide -19731 by 1. -19731 What is -251369744 divided by 907472? -277 Calculate 4088 divided by -94033. -4088/94033 What is -1 divided by 3785939? -1/3785939 Divide -38723330 by -3. 38723330/3 What is 207348736 divided by -256? -809956 -379 divided by -14561 379/14561 What is 31 divided by -7617563? -31/7617563 13877650 divided by -2 -6938825 What is -26759026 divided by -9? 26759026/9 Calculate 20 divided by 190811. 20/190811 What is 40 divided by 28671? 40/28671 Calculate 268012014 divided by -2. -134006007 What is 2 divided by -1228403? -2/1228403 Divide -7849896 by 1962474. -4 What is 82212100 divided by 2? 41106050 3 divided by 14173480 3/14173480 Calculate 14255100 divided by -33700. -423 What is 2326 divided by -75199? -2326/75199 Divide -3276175 by -195. 655235/39 Calculate -9955825 divided by 398233. -25 Divide -122688378 by -3. 40896126 2513 divided by -24292 -2513/24292 Divide 1283 by -40122. -1283/40122 Calculate -247670160 divided by 30. -8255672 Divide -165581415 by -1. 165581415 What is 10759 divided by -7705? -10759/7705 271572768 divided by -72 -3771844 What is -33518850 divided by -6? 5586475 What is 402 divided by -6641? -402/6641 -491095 divided by -11 44645 Calculate 71524564 divided by -31. -2307244 Calculate 12976 divided by -701. -12976/701 Calculate -129326616 divided by -102. 1267908 What is -329964600 divided by -785630? 420 What is -3029370 divided by -419? 7230 Calculate -3643200 divided by 5. -728640 What is 54423595 divided by -5? -10884719 -21839265 divided by -1197 18245 -221864902 divided by 4 -110932451/2 -400277 divided by -343 400277/343 Calculate 1658574252 divided by -6. -276429042 0 divided by -3996602 0 What is -4 divided by 3723541? -4/3723541 Divide 12779193 by -21623. -591 -4064564 divided by -28 145163 What is 4 divided by -43006641? -4/43006641 What is 8746 divided by 12? 4373/6 -610268986 divided by 86 -7096151 Calculate 28055433 divided by -128107. -219 Calculate 110651 divided by -23. -110651/23 -512986092 divided by 256493046 -2 What is -1300722178 divided by -1? 1300722178 What is 15 divided by 140741? 15/140741 Divide -325321 by 12. -325321/12 -205872843 divided by -33 6238571 Divide -46288838 by 1. -46288838 Calculate 554924812 divided by -569738. -974 -14236545 divided by 1933 -7365 -1127980 divided by 40285 -28 What is 39263452 divided by -1? -39263452 Calculate -461535536 divided by 88. -5244722 Calculate -35341349 divided by -1. 35341349 Divide 2117 by 28146. 2117/28146 What is 49640734 divided by -8? -24820367/4 Calculate -72191271 divided by -1. 72191271 Calculate 3003 divided by -3170. -3003/3170 What is 6624592 divided by 52? 127396 4860 divided by -1476 -135/41 -594507570 divided by -6 99084595 Divide 5078841 by 1. 5078841 What is 809165 divided by -13265? -61 What is -10356006 divided by -2202? 4703 Divide 365183 by -98. -52169/14 Divide 1067 by -15295. -1067/15295 153652503 divided by -6 -51217501/2 Divide 56373996 by 18791332. 3 Calculate 1755 divided by -3837. -585/1279 Calculate 58002882 divided by -11289. -5138 Divide -5472 by -18397. 5472/18397 -4137 divided by -762 1379/254 -77317113 divided by 25772371 -3 What is -26299440 divided by -584432? 45 What is 136403685 divided by -35943? -3795 Divide -3776873 by -47. 80359 What is -1662 divided by -10496? 831/5248 Calculate -6 divided by 179677036. -3/89838518 Divide 5 by 1049136. 5/1049136 Calculate 42796 divided by 426. 21398/213 82665675 divided by 855 96685 Calculate 58909096 divided by 5153. 11432 What is 5116484 divided by -4? -1279121 What is -31660671 divided by 4? -31660671/4 What is -4 divided by -308300895? 4/308300895 What is -19927688 divided by 1? -19927688 23521780 divided by 5 4704356 Divide -486 by 1118. -243/559 -1957 divided by 44562 -1957/44562 Divide -17224864 by -4306216. 4 -3590580 divided by -10 359058 Divide -20487357 by -3267. 6271 Divide 169753 by 52. 169753/52 Divide 149467878 by -1215186. -123 Divide 1229360650 by 7. 175622950 144312898 divided by -2 -72156449 Divide -16157 by 5. -16157/5 62755916 divided by 11 62755916/11 -162612027 divided by 123 -1322049 Divide 268301780 by 4. 67075445 Calculate 11 divided by -199891. -11/199891 Calculate 182393497 divided by -11. -16581227 -316630803 divided by 6 -105543601/2 17351 divided by -341 -17351/341 Calculate 116049894 divided by 58024947. 2 What is 7497452 divided by 1? 7497452 11 divided by 106708530 11/106708530 What is -390080 divided by 40? -9752 -2 divided by 1189776 -1/594888 Calculate -5 divided by 159804865. -1/31960973 What is -11008575 divided by 1735? -6345 What is -3970530 divided by -3? 1323510 What is 206143296 divided by 24? 8589304 Divide -19673 by -2809. 19673/2809 What is -5 divided by 14757496? -5/14757496 Calculate -300194 divided by -30. 150097/15 58970600 divided by -7969 -7400 Calculate -255873020 divided by 65. -3936508 Calculate 24960640 divided by -4992128. -5 What is -4 divided by 32323184? -1/8080796 Calculate -116850720 divided by -105. 1112864 What is 2 divided by -1048677? -2/1048677 1695 divided by 108026 1695/108026 Calculate -118615278 divided by -9309. 12742 14047282 divided by 394 35653 -757145012 divided by -4084 185393 Calculate -99603 divided by 651. -153 Calculate 3092934 divided by -57. -54262 What is 119878 divided by 872? 59939/436 What is 50756721 divided by -3? -16918907 Divide -28 by -12619528. 7/3154882 What is -2834557 divided by 257687? -11 What is -664594740 divided by -1044? 636585 What is 9208465 divided by -2? -9208465/2 Calculate 565 divided b
{ "pile_set_name": "DM Mathematics" }
z - 8*z + b*z wrt z? -8 Let q(t) = -28*t**3 - 3*t**2 - 23*t. Let f(v) = -141*v**3 - 17*v**2 - 114*v. Let b(i) = 2*f(i) - 11*q(i). What is the third derivative of b(k) wrt k? 156 Let p(z) be the first derivative of 2/3*z**3 + 3 + 2*z + 0*z**2. Differentiate p(h) with respect to h. 4*h Let l be (-2)/6 + (-91)/(-39). Differentiate 2*a + 0*a + 4*a + 5 + l*a wrt a. 8 Suppose 0 = -3*y - w + 10, 2*y + 6 = 5*y - 3*w. Let g be (y + -5)*2/(-2). Find the second derivative of -2*d**3 - d - d**5 + g*d**3 wrt d. -20*d**3 Differentiate -1 + 8*y + 9*y + 0 - 4*y with respect to y. 13 Let x(j) be the second derivative of -j**9/7560 - j**7/840 - j**4/4 - 2*j. Let i(p) be the third derivative of x(p). What is the third derivative of i(z) wrt z? -48*z Let m(t) be the second derivative of -t**10/30240 + t**7/840 + t**4/6 + t. Let g(f) be the third derivative of m(f). What is the third derivative of g(z) wrt z? -60*z**2 Let h = 29 + -19. Suppose -3*r + h = 2*r. What is the third derivative of r*l**4 + 3*l**4 - 4*l**4 + l**2 wrt l? 24*l Find the second derivative of k**3 - 98 + 0*k**3 + 52 + 48 + 17*k - 8*k**2 wrt k. 6*k - 16 Let i(y) = 34*y**2 - 24*y + 7. Let u(f) = 17*f**2 - 12*f + 4. Let r(j) = -4*i(j) + 7*u(j). Find the second derivative of r(d) wrt d. -34 Let c(l) be the first derivative of 45*l**4/4 + 27*l - 24. Differentiate c(t) with respect to t. 135*t**2 Let m be (-1)/4 - (-34)/8. Suppose 2 = -3*o + 2*o, m*o = 5*d - 18. Find the second derivative of 1 - 1 + 2*f + f**d wrt f. 2 Let a(l) = -2*l**4 + 7*l**3 - 6. Suppose -3*b = 14 + 7. Let f(v) = v**4 - 5*v**3 + 4. Let o(g) = b*f(g) - 5*a(g). Differentiate o(w) wrt w. 12*w**3 What is the first derivative of 2 - 10 + q**2 + 4 wrt q? 2*q Let y(i) = 36*i**3 - 7*i**2 - 43*i - 7. Let v(c) = 18*c**3 - 4*c**2 - 21*c - 4. Let g(h) = 7*v(h) - 4*y(h). What is the second derivative of g(q) wrt q? -108*q Let b(h) be the first derivative of -5*h**8/336 - h**5/20 + 3*h**2/2 + 1. Let p(f) be the second derivative of b(f). Find the third derivative of p(i) wrt i. -300*i**2 Let f(j) = 10*j**3 - 2*j**2 - 7*j + 2. Let x(z) = 29*z**3 - 7*z**2 - 20*z + 7. Let w(u) = -7*f(u) + 2*x(u). What is the second derivative of w(o) wrt o? -72*o Let g(s) = -s**3 + 6*s**2 - 5*s + 3. Let v be g(5). Suppose v*i - i = 26. What is the first derivative of -16 + i + d**3 + 0*d**3 wrt d? 3*d**2 Differentiate -29*u + 19 + 18 - 9 + 1 with respect to u. -29 Find the third derivative of 2*b**6 - 16 + 16 - b**2 - b**2 wrt b. 240*b**3 Let m(t) = 28*t**2 - 21*t + 7. Let a(y) = -4 + 4 - 2 - 7*y + 4 + 9*y**2. Let h(q) = -7*a(q) + 2*m(q). Find the second derivative of h(c) wrt c. -14 Let r(d) = 2*d**2. Let h be r(-1). Find the second derivative of -h*p**4 + 2*p**4 + 4*p - 7*p**5 wrt p. -140*p**3 Suppose 2*d + 2 - 6 = 0. What is the third derivative of z**3 + 5*z**2 + z**3 - z**d wrt z? 12 Let p(y) be the second derivative of -y**7/280 + 7*y**5/120 + y**3/2 + 7*y. Let l(z) be the second derivative of p(z). Find the second derivative of l(c) wrt c. -18*c Let m(u) be the second derivative of 0 + 0*u**2 - 5/12*u**4 - 2/3*u**3 + 2*u. Find the second derivative of m(s) wrt s. -10 Let f(n) = -n**3 - n**2 + n + 4. Let x = 2 - 2. Let j be f(x). Find the third derivative of -3*c**2 - j*c**6 + 3*c**6 + 3*c**6 wrt c. 240*c**3 Let n = 2 - 2. Let b be 5 - -3*(-2)/3. What is the second derivative of n*r - 3*r + r**3 - r**b + 3*r**5 wrt r? 60*r**3 Let g be (-1)/2*-10 + -3. Suppose -7*d = -2*d - 10. Differentiate g - 2*a + 3*a + d*a wrt a. 3 Suppose -2*r = -5*s - 34, 1 = -s + 3*r - 11. Let d(o) = 2*o + 5. Let b(y) = 9*y + 21. Let k(c) = s*b(c) + 26*d(c). Differentiate k(p) wrt p. -2 Let j(r) = -8*r - 2*r**3 + r**3 - 2*r**3 - 7*r**2 - 1 + 2*r**3. Let x be j(-6). Find the second derivative of n**2 - n**2 + 2*n + 10*n**5 - x*n**5 wrt n. -20*n**3 Let i(j) = 4*j**4 + 3*j - 2. Let z(h) = -4*h**4 - 4*h + 3. Let a be 6 - (0 + 4/2). Let y(g) = a*i(g) + 3*z(g). Find the first derivative of y(c) wrt c. 16*c**3 Let t = -13 + 8. Let h = -3 - t. What is the third derivative of -5*g**2 + 4*g**2 + 2*g**h - g**3 wrt g? -6 What is the second derivative of -18*n + 11*n - 14*n - 5*n**5 wrt n? -100*n**3 Let u(c) = 16*c**4 - 8*c**2 - 4*c + 4. Let a(w) = 15*w**4 - 9*w**2 - 3*w + 3. Let x(g) = -4*a(g) + 3*u(g). What is the third derivative of x(b) wrt b? -288*b Let v(s) = 5*s**5 - 3*s**3 + 17*s + 3. Let j(n) = 6*n**5 - 2*n**3 + 17*n + 2. Let g(x) = 3*j(x) - 2*v(x). What is the second derivative of g(f) wrt f? 160*f**3 Let s(z) = -z - 12. Let h be s(-5). Let m = 10 + h. Find the second derivative of m*u - u + 0*u - 2*u**3 + u**3 wrt u. -6*u Let b(p) be the second derivative of -p**4/12 + 21*p**2/2 - 2*p. Find the first derivative of b(q) wrt q. -2*q Let p(z) be the first derivative of 9/2*z**2 + 0*z**4 + 0*z**3 + 0*z**5 + 0*z + 3/2*z**6 + 2. Find the second derivative of p(v) wrt v. 180*v**3 What is the third derivative of 5*p**2 + 2*p**5 - 5*p**5 + 3*p**2 - 6*p**2 wrt p? -180*p**2 Let r(s) be the third derivative of s**7/210 - s**4/24 + 2*s**3/3 + s**2. Let a(g) be the first derivative of r(g). Differentiate a(t) wrt t. 12*t**2 What is the second derivative of -14*h**4 + 7*h - h + 10*h**4 wrt h? -48*h**2 Suppose 4*t = -4*j + 20, 2*t + 0*t + 25 = 3*j. What is the third derivative of 29*m**3 - 14*m**3 - 9*m**5 + j*m**2 - 15*m**3 wrt m? -540*m**2 Let z(c) be the third derivative of -1/10*c**5 + 0*c**3 + 0 - 1/120*c**6 + 0*c + c**2 + 0*c**4. Find the third derivative of z(g) wrt g. -6 What is the third derivative of -2*v**4 + 3*v**2 + v**4 - 3*v**4 wrt v? -96*v Let l = -4 - -13. Find the second derivative of -7*h + 8*h - 7*h**5 - l*h wrt h. -140*h**3 Suppose 3*i = -5*m, 11 = 4*m + i + 4. Let v be m/(-3)*-5 - 3. What is the second derivative of 2*u + u + 4*u**2 - 2*u**3 - 4*u**v wrt u? -12*u Let i(q) = q**3 + 7*q**2 - 7*q - 1. Let g(h) = h - 1 - 3*h + 4*h**2 - 3*h**3 - 2*h + 4*h**3. Let l(k) = -7*g(k) + 4*i(k). Differentiate l(s) wrt s. -9*s**2 What is the derivative of 15*c + 7 - 4*c + 9*c wrt c? 20 Let p(v) be the second derivative of -13*v**6/30 - 4*v**2 - 13*v. What is the derivative of p(j) wrt j? -52*j**3 Let g(d) = -d**3 + 3*d**2 + d - 1. Let s be ((-6)/8)/((-2)/8). Let y be g(s). Find the first derivative of 0*x**2 - 4*x**2 - 1 + y*x**2 wrt x. -4*x Suppose -3*p = -4*n + 11, -2*n = -2*p + 4*p - 16. What is the third derivative of 3*m**3 + m**2 + 5*m**3 - 5*m**p wrt m? 18 Let a(h) = 24*h**5 - 10*h - 14. Let s(o) = 5*o**5 - 2*o - 3. Suppose 3*u = u + 28. Let k(z) = u*s(z) - 3*a(z). Find the second derivative of k(p) wrt p. -40*p**3 Suppose -12 = -5*d - 2. What is the third derivative of 7*j**2 + 3*j**3 - 4*j**d + 0 + 0 wrt j? 18 Let l(h) = h + 3. Let d be l(0). Find the third derivative of -4*o**2 + 0*o**6 + o**6 + d*o**2 wrt o. 120*o**3 Find the third derivative of -29*n**6 - 31*n**2 - 772*n**3 + 772*n**3 - 5*n + 4*n wrt n. -3480*n**3 Let r(t) = -t + 15. Let j be r(13). What is the third derivative of 3*u**3 - 9*u**j + 15*u**2 - 3*u**2 wrt u? 18 Suppose 0 = -y, k - 3*y = -3*k + 8. Differentiate 7 + 6*p**4 - 10*p**4 - p**k + p**2 with respect to p. -16*p**3 Let y(o) be the third derivative of o**5/12 + 5*o**3/6 - 2*o**2. Differentiate y(g) with respect to g. 10*g Let h(q) = -9*q**2 + 6*q - 5. Let f(p) = p**2 - p + 1. Let s be (4/(-2) - -1) + 7. Let n(o) = s*f(o) + h(o). Differentiate n(j) wrt j. -6*j Suppose -3 = -3*h + 3. What is the third derivative of -2*i**h - 4 + 4 + 5*i**6 wrt i? 600*i**3 Let v = 175 + -175. Let t(n) be the third derivative of v + 3*n**2 + 0*n**4 + 0*n - 1/2*n**3 - 1/20*n**5. Differentiate t(b) wrt b. -6*b Let t(n) = 6*n**6 + 4*n**4 - 4*n**3 + 4*n**2 - 4. Let y(d) = d**4 - 15 + 14 + 0*d**3 - d**3. Let v(a) = t(a) - 4*y(a). Find the third derivative of v(m) wrt m. 720*m**3 Suppose 2*h - 5*h = -12. What is the third derivative of -4*z**3 + 47*z**4 + 4*z**3 - 6*z**2 - 41*z**h wrt z? 144*z Let r(h) = -3*h - 3. Let q be r(-3). What is the third derivative of -9*m**2 + 4*m**6 - 4*m**6 + 3*m**q - 6*m**6 wrt m? -360*m**3 Let y = -35 - -38. Let p(c) be the second derivative of 0*c**2 - 4*c - 1/4*c**4 + 0 + 2/3*c**y. Find the second derivative of p(b) wrt b. -6 Let l(f) be the third derivative of 0 + 0*f + f**2 + 1/4*f**4 - f**3. What is the derivative of l(k) wrt k? 6 Let v(b) be th
{ "pile_set_name": "DM Mathematics" }
f. 2568*f**2 Find the second derivative of -405*n**5 + 195*n wrt n. -8100*n**3 What is the first derivative of 17*j**2*z - 2171*j**2 - 3*j*z + 8*z wrt z? 17*j**2 - 3*j + 8 Find the second derivative of -3*c**3*t**2 + 116*c**3*t - 23*c*t**2 - 2*t wrt t. -6*c**3 - 46*c Differentiate 97*u**3*x**2 - 2*u**3*x - u**2 - 223*x**2 with respect to u. 291*u**2*x**2 - 6*u**2*x - 2*u Find the second derivative of 1842*c**2*t**3 - 2*c**2*t - 4*c*t**3 - 2*c*t**2 + 5*c*t - 2*t wrt c. 3684*t**3 - 4*t Find the first derivative of -2*r**4 + 33*r**2 - 150 wrt r. -8*r**3 + 66*r What is the first derivative of -171*v**3 - 209 wrt v? -513*v**2 Find the third derivative of -190*u**6 - u**2 + 56 wrt u. -22800*u**3 What is the third derivative of 2*t**4 + 2*t**3*y**2 - 16*t**3*y - 6*t**2*y**2 + 4*t + y**2 wrt t? 48*t + 12*y**2 - 96*y What is the third derivative of -5118*q**3 - 2*q**2 - 2*q + 122 wrt q? -30708 What is the first derivative of -24*i**2 - 2*i - 1431? -48*i - 2 What is the third derivative of 13*i**6 + 9*i**3 + 45*i**2? 1560*i**3 + 54 What is the derivative of -x**4 + 12*x**2 + 8*x - 5000? -4*x**3 + 24*x + 8 What is the first derivative of -493*a - 1702 wrt a? -493 Find the second derivative of 154*f**3 - 14*f - 3 wrt f. 924*f Find the second derivative of -2*t**2*w**5 + 94*t**2*w - 5*t**2 + 3743*w**5 wrt w. -40*t**2*w**3 + 74860*w**3 What is the second derivative of b**2*l**2*r**2 - 539*b**2*r**2 - b*l**2*r**2 - 16*b*r**2 - 9*b + 2*l**2*r**2 wrt b? 2*l**2*r**2 - 1078*r**2 What is the second derivative of i*r**2*z**2 - 12*i*r*z**2 - i*r*z - i*z + 8*r**4*z - 12*r**2 + 16*r*z wrt r? 2*i*z**2 + 96*r**2*z - 24 Find the first derivative of 2*g**2*n*v - 46*g**2*n - 41*g**2 - 29*n*v**2 + 220*v**2 wrt v. 2*g**2*n - 58*n*v + 440*v Find the second derivative of 19478*x**4 + 5*x - 2199 wrt x. 233736*x**2 What is the third derivative of 532*i**6 + 37*i**2 - 3? 63840*i**3 Find the third derivative of 2*c**2*d**3 + 7*c**2*d*r**3 - c**2 - 1446*c*d**3*r + 234*c*d**2*r**3 - c*r**2 + 2*d**3*r**3 wrt d. 12*c**2 - 8676*c*r + 12*r**3 What is the derivative of -p**2*v**3 + 65*p**2*v + 296*p**2 wrt v? -3*p**2*v**2 + 65*p**2 Find the third derivative of 797*i**5 - 3*i**4 + 2*i**2 - 6970 wrt i. 47820*i**2 - 72*i Find the third derivative of 364*d**6 - 6358*d**2. 43680*d**3 Differentiate 218*d**2*j*p - d**2*j - 2*d**2*p - 2461*d**2 + 2*d*j*p wrt j. 218*d**2*p - d**2 + 2*d*p Find the third derivative of -239*c**5*k**2 - 21*c**5*k + 2*c**2*k + 13*c*k**2 + 2*c + 2*k**2 wrt c. -14340*c**2*k**2 - 1260*c**2*k What is the first derivative of -9*i*r**2 - 6*i*r + 4*i - r**2 + 2*r - 37 wrt r? -18*i*r - 6*i - 2*r + 2 What is the derivative of -2*h*l**2*u + 4*h*l**2 - h*l*u - 361*h*l - 318*l*u**2 wrt u? -2*h*l**2 - h*l - 636*l*u What is the third derivative of -g**6 - 564*g**4 - 341*g**2 wrt g? -120*g**3 - 13536*g What is the derivative of -2*i**2 - 156*i + 739 wrt i? -4*i - 156 What is the second derivative of 10380*q**2 + 2834*q wrt q? 20760 Find the second derivative of 13*m**3*z**5 - 2*m**3*z**4 - 51*m**3*z + m*z wrt z. 260*m**3*z**3 - 24*m**3*z**2 What is the second derivative of m**3 + 89*m**2 - 147*m - 2? 6*m + 178 Find the second derivative of -y**3 - 109*y**2 - 160*y + 1. -6*y - 218 Differentiate 75*i**2*p**4 + 2*i**2 + 3*i wrt p. 300*i**2*p**3 What is the second derivative of -1314*a**2 + 23*a - 89 wrt a? -2628 Find the third derivative of 486*t**3 - 2*t**2 - 7*t - 1 wrt t. 2916 What is the second derivative of 2*j**3*s**2 - 420*j**3 - 1211*j**2*s**2 - 2*j**2*s + 3*j**2 + 2*s**2 wrt s? 4*j**3 - 2422*j**2 + 4 Find the second derivative of -167*r**2 + 2*r + 15. -334 Find the third derivative of 159*h**2*n**3 + 5*h**2*n**2 + 5*h**2 wrt n. 954*h**2 Find the third derivative of -10976*c**4 + c**2 - c - 41. -263424*c Differentiate -299*z**2 - 9. -598*z What is the derivative of -f**3*n**3 + 34*f**3*n**2*x**2 + 452*f*n**3 + n**3*x + 6*x**2 wrt x? 68*f**3*n**2*x + n**3 + 12*x Differentiate j**3 + 275*j**2 + 526. 3*j**2 + 550*j Find the first derivative of 3*a*b*g + 2*a*b*z + 833*a*b - a*g**2 + 2*b*g**2*z - b*g*z + b*z - g**2*z + g wrt a. 3*b*g + 2*b*z + 833*b - g**2 What is the derivative of 2*g*t*x - 3*g*t + 2*g*x + 2*g + 2*t*x - 9*t wrt x? 2*g*t + 2*g + 2*t Find the second derivative of 2*m**3*o**4 + 3*m**3 - 2346*m*o**5 + 10*o wrt o. 24*m**3*o**2 - 46920*m*o**3 Find the first derivative of 2651*b*h**2 + 959*h**2 wrt b. 2651*h**2 What is the second derivative of -3*h**3*t**2 + 3*h**3 + 5*h**2*t**3 + 14*h**2 + 4*h*t**3 + 2*t wrt t? -6*h**3 + 30*h**2*t + 24*h*t Find the second derivative of -194*a**2*x + 4*a**2 - 1162*a*x + 8*x wrt a. -388*x + 8 Find the second derivative of -80*f*z**3 - f*z + f + 22 wrt z. -480*f*z What is the third derivative of -6*w**2*z**3 - 192*w**2*z**2 - 2*w*z - z**4 + 7*z**3 - 3*z**2 wrt z? -36*w**2 - 24*z + 42 Find the third derivative of 10*d**2*l**3*m*z**2 + 9*d**2*l**2*m + 3*d**2*z**2 - d*l**2*m*z**2 - d*l**2 - d*l*m*z**2 + l**3*z**2 wrt l. 60*d**2*m*z**2 + 6*z**2 Find the third derivative of -3*r**5 - 118*r**4 + 8*r**3 - 12040*r**2 wrt r. -180*r**2 - 2832*r + 48 What is the third derivative of 123*d*q**3 - 3*d + q**2 + q wrt q? 738*d Find the second derivative of 3*g**2*i**2*x**2 - 4*g**2*i*x**2 + 3*g**2 + 103*g*i**2*x**2 - 3*g*i*x**2 wrt i. 6*g**2*x**2 + 206*g*x**2 Differentiate -2*q**4 - 5*q*s**3 + 6*q - 272*s**3 wrt q. -8*q**3 - 5*s**3 + 6 Differentiate -2*b*c**2 + 3*b*u + 7*b + 1462*c**2*u**3 - c*u**3 - 2*u**3 with respect to c. -4*b*c + 2924*c*u**3 - u**3 What is the first derivative of -16694*h**2 - 17100? -33388*h What is the derivative of 16093*w + 23706 wrt w? 16093 Find the third derivative of -14*m**2*z**4 + 4*m**2 - 20*z**2 wrt z. -336*m**2*z What is the first derivative of -2*h*j - 2878*h - 985*j - 1 wrt j? -2*h - 985 What is the second derivative of -5058*x**2 - 326*x - 4 wrt x? -10116 What is the third derivative of -i**4 - 9*i**3 + 2*i**2 - 112*i? -24*i - 54 What is the third derivative of -490*i**3*s**3 - 132*i**3*s + 4*i**2*s**2 wrt s? -2940*i**3 Differentiate 145*l*n**4 - 456*l - 2*n**2 + 1 with respect to n. 580*l*n**3 - 4*n Find the second derivative of -o**2*q**2 - o**2 + 12*o*q**2 - 3*o*q - 7*o wrt q. -2*o**2 + 24*o Find the third derivative of -5*i**4*u + 60*i**3*u - 71*i**2*u + 3*i wrt i. -120*i*u + 360*u What is the first derivative of -28*s**2*u**3 + 5*s**2*u**2 + 201*u**3 wrt s? -56*s*u**3 + 10*s*u**2 What is the second derivative of -595*o**5*q - 13*o**4*q**2 + 3559*o*q**2 + q**2 wrt o? -11900*o**3*q - 156*o**2*q**2 What is the second derivative of -67*r**4 - 5*r**3 - 3624*r wrt r? -804*r**2 - 30*r What is the second derivative of -r**3*v + r**3 + 2432*r**2 + 880*r*v + 2 wrt r? -6*r*v + 6*r + 4864 Find the first derivative of 26*f*k**3*n + 4*f*k*n**2 - 2*k**3*n - 18*k*n**2 - 2*k wrt f. 26*k**3*n + 4*k*n**2 Find the third derivative of 43*a**4 - 2*a**2 + 8*a + 6. 1032*a Find the third derivative of j**5*s + 34*j**3*s**3 + 50*j**2*s**3 + 2*j*s**3 wrt j. 60*j**2*s + 204*s**3 Find the third derivative of -2*l**3*s**2 - 20*l**3 - l**2*s**2 + l - 9*s**2 wrt l. -12*s**2 - 120 What is the derivative of -4*n**3 + 3*n**2 - 330 wrt n? -12*n**2 + 6*n Differentiate 12*j**4 + 2*j**3 + 106 with respect to j. 48*j**3 + 6*j**2 What is the second derivative of 3*k*t**3*z**2 - k*t**2*w - 19*k*t*w*z + k*t*z**2 - 21*k*w*z**2 - 2*t**3*w + 8*w*z wrt z? 6*k*t**3 + 2*k*t - 42*k*w Differentiate -4*t**2*x**3 + t**2*x**2 - 113*t*x - 21*x**3 + 6 with respect to t. -8*t*x**3 + 2*t*x**2 - 113*x What is the derivative of 568*p**4 + p**2*s**3 - 1240*s**3 wrt p? 2272*p**3 + 2*p*s**3 Find the second derivative of -2*k**2*x**2 + 2*k**2 + 6*k*x**4 - 5*k*x + 3*x**4 - 11*x wrt x. -4*k**2 + 72*k*x**2 + 36*x**2 What is the derivative of g*m**3*y + 7*g*m*y + 113*g*n*y - 3*g*n - 2*m**3*n + 4*m**3*y - 2*m**3 - 2*m**2*y wrt n? 113*g*y - 3*g - 2*m**3 Find the third derivative of -94*t**3*v**2 - t**2 + 26*v**2 wrt t. -564*v**2 What is the third derivative of 3*w*z**5 + 480*w*z**3 + 26*w*z**2 + z**2 - 15 wrt z? 180*w*z**2 + 2880*w Differentiate -262*u**4 - 251 with respect to u. -1048*u**3 Find the first derivative of 2*j**4 + 3*j**3*n**2 - 4*j*n**2 - 99*n**2 wrt j. 8*j**3 + 9*j**2*n**2 - 4*n**2 What is the second derivative of r**3*x**3 - r**3 - 164*x**3 - 83*x wrt x? 6*r**
{ "pile_set_name": "DM Mathematics" }
m(y) = -6*y + 9*y**3 + 7 - 2 + 4*y**3 + 2 - y**2. Is m(3) composite? False Let v(d) = -4*d**3 - 4*d**2 - 3*d - 4. Suppose -25 = -3*p + 4*a, 0*p = -4*p - 5*a - 8. Suppose -13 + 4 = p*o. Is v(o) a prime number? False Let k = -5 + 7. Suppose 13 = -k*f + 5. Let o(i) = -i**3 - 2*i**2 + 5*i - 1. Is o(f) prime? True Suppose -5*w + 8*w = -4*b + 13855, -13865 = -3*w + b. Is w a prime number? True Suppose 0 = -4*o - 0*o + 16. Let p(y) = 9*y**3 - 6*y**2 + 2*y - 3. Is p(o) prime? False Suppose -p = -3*p + 4. Is 1288/24 - p/3 a composite number? False Suppose 4 = -2*i - k + 5, 3*i = -3*k + 9. Let c be i - (-1 + 3) - -2. Is (-76)/c + -2 + 1 composite? False Suppose k + 2*k = -6. Is (-70)/k - (-2 - 0) prime? True Is (15/10)/((-6)/(-21260)) prime? False Suppose 1092 = 3*g + 303. Is g a prime number? True Let j = -3574 - -6279. Is j a prime number? False Let w = -18 - -20. Is (7/w + -3)*1730 prime? False Suppose -2*q + 60 - 14 = 0. Suppose -3 + q = 5*s. Suppose 0 = s*v - 323 - 65. Is v composite? False Let d be (-8 + 3 - -4)/(-1). Let u(s) = 6*s**2 - s + 1. Is u(d) prime? False Suppose 0*u - 5*x = -4*u + 10127, -5061 = -2*u + 5*x. Is u prime? False Suppose -18*v - 4604 = -22*v. Is v composite? False Let q(n) = 145*n**2 - n + 1. Let v be (-1 + 1)*(-2 - -3). Let r be (-1 + -2)/(-3) + v. Is q(r) a composite number? True Is -2 + 2 - (-85 - 2) a prime number? False Suppose -2*h = -3*r - 0 - 13, 3*h - 3*r = 18. Suppose h*a - 1435 = -0*a. Is a composite? True Suppose 4*l + 995 = 63. Let t = 496 + l. Is t a prime number? True Is (1195/3)/(4/12) prime? False Suppose w + 4*s = 27, w = s - 4*s + 26. Suppose w = 4*q - 161. Is q composite? True Let r be 129/(-30)*8*-5. Let g = 301 - r. Is 2/(-2 + 4)*g a prime number? False Let o(s) = -s**3 + 6*s**2 - 4*s - 1. Suppose 9 = k + 2*k. Is o(k) a composite number? True Let z be -21*(-3)/(-27)*3. Let f = -7 - z. Suppose 3*u - 214 + 73 = f. Is u prime? True Let a = 0 + -2. Suppose -4*l + 238 - 686 = 0. Is 5 + a - (2 + l) a composite number? False Let q = -373 - -1118. Is q a composite number? True Is 1183 - -6*2/(-6) prime? True Suppose -7*p + 5440 = -8077. Is p prime? True Suppose 5*a - 2*x + 3605 = 9572, 3582 = 3*a - 3*x. Is a composite? False Let f(n) = n - 4. Let d be f(0). Let y(w) = 4*w**2 - 2*w - 5. Is y(d) a prime number? True Suppose 4*q + 31 = 1619. Is q prime? True Suppose 16 = -4*v, 8*v - 3*v - 405 = -5*w. Is w composite? True Let y(f) be the third derivative of f**4/24 + 635*f**3/6 - 5*f**2. Is y(0) a prime number? False Let t(g) be the third derivative of g**6/15 - g**5/30 + g**4/12 - g**3/6 - 3*g**2. Let p be t(1). Let q = p + 184. Is q a composite number? False Suppose 31 = j + h - 5*h, 0 = -5*j + 2*h + 227. Is j composite? False Let q be (-2)/4 - 275/2. Suppose 3*h + 807 = 3*x, -4*x + 1052 = 2*h - 24. Let t = q + x. Is t composite? False Suppose -5*p = 3*h - 107, -5*p = h - 128 + 29. Is p*-1*1*-1 a prime number? True Let d = -249 - 20. Let f = -160 - d. Is f composite? False Let v = 12 - 8. Let a(l) = -l + 6. Let o be a(v). Suppose 10 - 62 = -o*p. Is p a prime number? False Suppose 3*w + 7*k - 2*k = 4663, -3*w + 4699 = -4*k. Is w composite? True Suppose 9*o - 379 = 1520. Is o composite? False Let v(x) be the second derivative of x**4/2 - x**3/2 + x**2/2 - 2*x. Let l = -15 - -18. Is v(l) a prime number? False Suppose 3*m = -3, -5*u + 2*m = 4*m - 23. Suppose 8 = -l - l, 2*l = -3*o - 17. Let v = u + o. Is v composite? False Let g be (-152)/(-36) + (-2)/9. Is (-1)/4 - (-461)/g prime? False Suppose 9 = 2*d + d. Suppose 0 = -s - 2*s - d. Let m(v) = -21*v. Is m(s) a composite number? True Let k(f) = 5*f**2 - f - 1. Is k(-3) a prime number? True Let d(u) = 4*u**2 + 2*u + 1. Let j be 51/34*(-16)/6. Is d(j) prime? False Suppose -2*t - 170 = -3*y - 527, -719 = -4*t + y. Let a = t + 7. Let s = 336 - a. Is s a prime number? True Let w be 362/(-9) - 4/(-18). Let b = -28 - w. Suppose u - 3*t = 4*u - b, 0 = 5*u - 3*t - 20. Is u a composite number? True Suppose -16*t + 19*t - 207 = 0. Is t prime? False Let h(r) = -2*r - 1. Let f be h(2). Is (-3)/f - (-4152)/30 a composite number? False Let t be 2 - (-2 - (3 - -523)). Let o be t/(-4)*18/(-15). Is o*((-4)/(-3))/4 a composite number? False Let p = -193 - -276. Is p a prime number? True Suppose 5*o - 10 + 0 = 0. Suppose 3*n - o*n = 19. Is n prime? True Suppose 0 = -9*x + 4*x - 5195. Let z = x - -1924. Suppose -2*g = 3*g - z. Is g a composite number? True Let m(r) = -1 + 5*r + 18*r**2 + 2 - 3*r - 3. Let g(a) = -a + 6. Let h be g(4). Is m(h) a prime number? False Let x be ((-2)/(-2))/1*2. Suppose -3*n - 110 = -0*g - 4*g, 0 = -x*g + 4*n + 60. Is g composite? True Let q(f) = f**3 - 5*f - 6. Is q(5) composite? True Suppose 3*v = 162 + 18. Let l = -38 + v. Is l composite? True Let h(w) = 3*w - 3. Let m(t) = -5*t + 7. Let f(p) = 7*h(p) + 4*m(p). Let o be 0*(-2*1)/(-4). Is f(o) a prime number? True Let q be 0 + (4 - 0/2). Suppose -3*n + 683 = 4*d, 0 = q*n + 5*d - 98 - 813. Is n/5 - (-2)/10 composite? True Let j(r) be the first derivative of -r**2/2 + 2*r - 1. Let m be j(7). Let t(x) = 2*x**2 + 4*x + 3. Is t(m) composite? True Suppose -3 = 5*t - 28. Let i = -1 + t. Suppose -58 = -i*w + h, -5*h - 11 + 1 = 0. Is w a composite number? True Is (2 - (-1 - -2)) + 148 composite? False Is ((-10)/4)/(8/(-48)) a composite number? True Suppose 0 = -3*b - 3*k, 4*b + 2*k - 15 = -b. Suppose 2*y + y = t - 62, -b*t + 327 = 2*y. Is t prime? False Suppose -2*d + 6 = -10. Suppose -4*f + 11 = 5*b - 11, -4*f = -2*b - d. Is (-1)/f - (-424)/12 a composite number? True Let g(c) = -9*c**3 + 2*c**2 - 4*c + 11. Is g(-6) a prime number? False Let s(v) = -v**3 + 11*v**2 - 8*v + 4. Let t be s(8). Suppose 0 = -5*d + 2*d - 5*z + 10, 2*z = 2*d + 4. Suppose t = -d*x + 4*x. Is x a prime number? False Is (2716/6)/((-24)/(-36)) a prime number? False Is 228/16 + (-6)/(-8) a composite number? True Let o(f) = f**3 + 12*f**2 - 24*f - 1. Is o(-10) composite? False Let s(n) = n**2 - 7*n + 7. Let p(m) = -m - 10. Let q be p(0). Let o = 2 + q. Is s(o) composite? False Let d = 8 + -2. Let t(q) = 22*q + 7. Is t(d) composite? False Suppose -3*b - 4036 = -7*b - 4*g, -2*b + 2010 = -2*g. Is b a prime number? False Let r = 2 + -3. Let q be (-2)/((-4)/(-34)) + r. Let d = 43 + q. Is d a prime number? False Let y = 18 - 13. Suppose -4*d + 0 = y*p - 9, -15 = -2*d + p. Let n(s) = s**3 - 6*s**2 + 9*s - 1. Is n(d) composite? False Suppose -3*s + 6 = -0. Suppose 0 = 4*b - 4*c + s*c - 6, 25 = -5*c. Is (28 - -5) + 1 + b a prime number? False Let m be (1/3)/(3/45). Suppose 0*y + y = 3*t + 22, -m*t = y + 18. Is y a composite number? False Suppose 169 = -3*w + 2512. Is w a prime number? False Let b(a) = a**2 - 4*a - 10. Is b(-3) composite? False Let v(r) = -3*r + 4. Let u be v(4). Let y be (u/6)/4*-12. Suppose -y*s + 10 = -6. Is s prime? False Suppose -3*v + 1038 = -885. Is v composite? False Let v = 4422 - 2491. Is v composite? False Let x(c) = -c**3 + 34. Is x(0) prime? False Let t = -7 + 41. Let l = -3 + t. Is l a composite number? False Let s = -13498 - -23633. Is s a prime number? False Suppose 0 = 2*r + r - f - 996, -2*r = f - 659. Is r a prime number? True Suppose 3*x - 2*x = 35. Is x a composite number? True Let v be 8/(-12) - 14/(-3). Suppose v*t = 2*t + 4. Let x(u) = 2*u**3 + 3*u**2 - 3*u + 1. Is x(t) composite? False Suppose 4*w - 1176 = -2*y, -3*y - 2*w = -0*w - 1760. Suppose y = q + q. Is q a prime number? True Let m(g) = -16*g + 21. Let i(f) = 5*f - 7. Let p(s) = -11*i(s) - 4*m(s). Let w be p(6). Let y = 8 + w. Is y a prime number? False Is -3*3598/63*15/(-2) a prime number? False Suppose -28 = -4*w - 0*w + 5*t, -t = 4. Suppose -3*u - 12 = -k + 4, -w*k + 28 = -5*u. Suppose 5*s - 77 = k*s. Is s composite? True Suppose -2*g + 14 - 6 = 0. Suppose -d + 5 = 3*k + 2*k, -4*k - 12 = g*d. Is ((-46)/(-2))/(3 - k) a prime number? True Let c be (-20)/(-9) - 14/63. Let t be 1/(-1) - (-1 + 0). Suppose 70 = -t*x + c*x. Is x a composite number? True Let f = -60 - -106. Suppose c + 3*j - f = 2, -2*c + 41 = -5*j. Is c a composite number? True Let x(i) = 2*i + 4*i + 0*i + 7 + 6*i. Is x(3) composite? False Suppose -2*t + 5 = -t. Suppose -j - 3*j + 2*a = 2, t*j + 8 = -3*a. Is -5 + 3 - (j - 66) composite? True Is (-2372)/(-15) + (-6)/45 composite? True Suppose
{ "pile_set_name": "DM Mathematics" }
578, 555, 522, 479, 426? -5*d**2 + 2*d + 594 What is the v'th term of -1545, -3065, -4581, -6093, -7601, -9105, -10605? 2*v**2 - 1526*v - 21 What is the c'th term of 67097, 67074, 67035, 66980, 66909, 66822? -8*c**2 + c + 67104 What is the r'th term of 562, 2631, 4700? 2069*r - 1507 What is the t'th term of 35927, 71839, 107751, 143663, 179575, 215487? 35912*t + 15 What is the c'th term of 793, 1636, 2479, 3322, 4165, 5008? 843*c - 50 What is the g'th term of 25850, 25851, 25852, 25853? g + 25849 What is the i'th term of 382237, 382238, 382239, 382240, 382241? i + 382236 What is the v'th term of 150469, 150472, 150475, 150478, 150481, 150484? 3*v + 150466 What is the w'th term of -1160, -1813, -2468, -3125, -3784? -w**2 - 650*w - 509 What is the t'th term of -11762, -47038, -105832, -188144, -293974, -423322? -11759*t**2 + t - 4 What is the b'th term of -629, 110, 1333, 3034, 5207, 7846, 10945, 14498? -b**3 + 248*b**2 + 2*b - 878 What is the s'th term of 2465, 4941, 7419, 9899, 12381, 14865? s**2 + 2473*s - 9 What is the t'th term of -50275, -100550, -150823, -201094, -251363, -301630? t**2 - 50278*t + 2 What is the b'th term of 2772559, 2772557, 2772555? -2*b + 2772561 What is the y'th term of -123, -139, -125, -63, 65, 277, 591? 3*y**3 - 3*y**2 - 28*y - 95 What is the j'th term of -711, -5584, -18811, -44568, -87031, -150376, -238779, -356416? -696*j**3 - j**2 + 2*j - 16 What is the m'th term of -286, -1156, -2604, -4630, -7234? -289*m**2 - 3*m + 6 What is the t'th term of -175, -605, -1329, -2353, -3683, -5325, -7285, -9569? -t**3 - 141*t**2 - 33 What is the c'th term of -9902, -20089, -30276, -40463, -50650? -10187*c + 285 What is the d'th term of -2071, -1960, -1839, -1702, -1543, -1356, -1135, -874? d**3 - d**2 + 107*d - 2178 What is the p'th term of 12254, 12222, 12190, 12158, 12126? -32*p + 12286 What is the i'th term of 2, 99, 272, 521? 38*i**2 - 17*i - 19 What is the p'th term of -4970, -4994, -5042, -5126, -5258, -5450, -5714, -6062? -2*p**3 - 10*p - 4958 What is the y'th term of 893792, 893799, 893810, 893825, 893844, 893867, 893894? 2*y**2 + y + 893789 What is the b'th term of -94291, -188582, -282873? -94291*b What is the t'th term of 66, 28, -6, -36, -62, -84, -102? 2*t**2 - 44*t + 108 What is the l'th term of -157, -311, -465, -619, -773, -927? -154*l - 3 What is the f'th term of 4426, 6530, 8634, 10738, 12842? 2104*f + 2322 What is the v'th term of 1250, 1116, 746, 20, -1182? -20*v**3 + 2*v**2 + 1268 What is the t'th term of 3169, 3001, 2833? -168*t + 3337 What is the l'th term of -24123, -24112, -24091, -24054, -23995, -23908, -23787? l**3 - l**2 + 7*l - 24130 What is the s'th term of 108589, 108583, 108565, 108529, 108469? -s**3 + s + 108589 What is the v'th term of -134, -306, -516, -764, -1050, -1374? -19*v**2 - 115*v What is the i'th term of 2472851, 2472850, 2472849, 2472848, 2472847? -i + 2472852 What is the w'th term of 978, 980, 982? 2*w + 976 What is the j'th term of 508850, 1017698, 1526546? 508848*j + 2 What is the f'th term of 2, -171, -344, -517? -173*f + 175 What is the a'th term of -2659, -2592, -2521, -2446, -2367, -2284, -2197? 2*a**2 + 61*a - 2722 What is the b'th term of -21723, -43398, -65075, -86754, -108435, -130118? -b**2 - 21672*b - 50 What is the n'th term of -36, -171, -404, -747, -1212? -2*n**3 - 37*n**2 - 10*n + 13 What is the z'th term of 35793, 71585, 107377, 143169, 178961, 214753? 35792*z + 1 What is the c'th term of -881, -776, -573, -248, 223, 864, 1699, 2752? 4*c**3 + 25*c**2 + 2*c - 912 What is the g'th term of 290, 560, 770, 890, 890? -5*g**3 + 305*g - 10 What is the j'th term of -67, -288, -809, -1756, -3255, -5432, -8413, -12324? -21*j**3 - 24*j**2 - 2*j - 20 What is the r'th term of 99, 917, 3129, 7431, 14519, 25089, 39837, 59459? 116*r**3 + r**2 + 3*r - 21 What is the n'th term of -450, -431, -414, -399, -386, -375, -366? -n**2 + 22*n - 471 What is the m'th term of -4305, -34439, -116223, -275481, -538037, -929715? -4304*m**3 - m**2 - 3*m + 3 What is the a'th term of -233, -447, -645, -827? 8*a**2 - 238*a - 3 What is the p'th term of 2563, 2577, 2595, 2611, 2619, 2613, 2587, 2535? -p**3 + 8*p**2 - 3*p + 2559 What is the r'th term of -19742, -19732, -19724, -19718, -19714, -19712, -19712? -r**2 + 13*r - 19754 What is the u'th term of -4143, -4154, -4181, -4224, -4283, -4358? -8*u**2 + 13*u - 4148 What is the f'th term of -142807, -285611, -428415? -142804*f - 3 What is the j'th term of -2435, -4876, -7319, -9764, -12211, -14660, -17111? -j**2 - 2438*j + 4 What is the i'th term of -1045, -1129, -1275, -1483, -1753, -2085? -31*i**2 + 9*i - 1023 What is the k'th term of 51828, 51839, 51850, 51861, 51872? 11*k + 51817 What is the s'th term of 42000, 42004, 42010, 42018, 42028, 42040? s**2 + s + 41998 What is the l'th term of -15242, -15249, -15258, -15269, -15282? -l**2 - 4*l - 15237 What is the p'th term of 1113516, 1113515, 1113514? -p + 1113517 What is the m'th term of -28, -3, 32, 71, 108, 137? -m**3 + 11*m**2 - m - 37 What is the a'th term of 84091, 84097, 84115, 84151, 84211, 84301? a**3 - a + 84091 What is the r'th term of -15973, -15970, -15967, -15964, -15961, -15958? 3*r - 15976 What is the c'th term of -735, -1607, -2501, -3429, -4403? -2*c**3 + c**2 - 861*c + 127 What is the q'th term of -2658, -5320, -7982, -10644, -13306, -15968? -2662*q + 4 What is the m'th term of 9136, 9144, 9156, 9172, 9192? 2*m**2 + 2*m + 9132 What is the l'th term of 24270, 24266, 24262, 24258? -4*l + 24274 What is the j'th term of 2127, 4220, 6313? 2093*j + 34 What is the g'th term of 1180, 1206, 1254, 1324, 1416? 11*g**2 - 7*g + 1176 What is the q'th term of 11, 171, 637, 1571, 3135, 5491, 8801? 27*q**3 - 9*q**2 - 2*q - 5 What is the n'th term of 1202971, 2405941, 3608911? 1202970*n + 1 What is the p'th term of -1363, -5382, -11987, -21100, -32643, -46538, -62707, -81072? 13*p**3 - 1371*p**2 + 3*p - 8 What is the w'th term of 402, 372, 326, 270, 210? w**3 - 14*w**2 + 5*w + 410 What is the t'th term of 7457, 7460, 7447, 7406, 7325, 7192, 6995, 6722? -2*t**3 + 4*t**2 + 5*t + 7450 What is the l'th term of -594, -1160, -1726, -2292? -566*l - 28 What is the y'th term of 53781, 53777, 53771, 53763, 53753, 53741? -y**2 - y + 53783 What is the j'th term of 2152, 2124, 2066, 1972, 1836? -j**3 - 9*j**2 + 6*j + 2156 What is the g'th term of -88, -143, -198, -253, -308? -55*g - 33 What is the a'th term of -192, -1612, -5484, -13032, -25480, -44052, -69972? -204*a**3 - 2*a**2 + 14*a What is the y'th term of -93, -521, -1229, -2211, -3461? y**3 - 146*y**2 + 3*y + 49 What is the r'th term of -58, -104, -146, -190, -242, -308, -394? -r**3 + 8*r**2 - 63*r - 2 What is the a'th term of 15719, 15715, 15709, 15701, 15691? -a**2 - a + 15721 What is the o'th term of -340713, -340696, -340659, -340596, -340501? o**3 + 4*o**2 - 2*o - 340716 What is the o'th term of -882, -861, -838, -813? o**2 + 18*o - 901 What is the l'th term of -1964, -3934, -5922, -7928? -9*l**2 - 1943*l - 12 What is the r'th term of -734, -2970, -6684, -11870, -18522, -26634, -36200, -47214? r**3 - 745*r**2 - 8*r + 18 What is the a'th term of -233, -453, -663, -863, -1053, -1233? 5*a**2 - 235*a - 3 What is the t'th term of -21453, -42941, -64429, -85917, -107405, -128893? -21488*t + 35 What is the v'th term of -909, -897, -861, -789, -669, -489, -237, 99? 2*v**3 - 2*v - 909 What is the j'th term of -222, -678, -1438, -2502? -152*j**2 - 70 What is the a'th term of 77, 90, 153, 290, 525, 882? 4*a**3 + a**2 - 18*a + 90 What is the b'th term of 91, 207, 325, 451, 591, 751, 937? b**3 - 5*b**2 + 124*b - 29 What is the b'th term of 2366, 1229, 92, -1045, -2182? -1137*b + 3503 What is the y'th term of -209, -101, -5, 73, 127, 151, 139, 85? -y**3 + 115*y - 323 What is the t'th term of -2751, -10831, -24297, -43149, -67387? -2693*t**2 - t - 57 What is the a'th term of -720, -1482, -2254, -3036, -3828, -4630, -5442? -5*a**2 - 747*a + 32 What is the q'th term of -24280, -24284, -24280, -24262, -24224? q**3 - 2*q**2 - 5*q - 24274 What is the i'th term of 4, -22, -88, -212, -412, -706, -1112, -1648? -3*i**3 - 2*i**2 + i + 8 What is the d'th term of 265265, 265279, 265303, 265337, 265381, 265435, 265499? 5*d**2 - d + 265261 What is the r'th term of 6031, 6054, 6099
{ "pile_set_name": "DM Mathematics" }
m + m + (4 - 2 - 4)*(2*m - 3*m + 2*m). -6*m Expand (253 - 360 - 502)*((5 - 5 + k)*(k**2 + 2*k**2 - k**2) + 4*k + 2*k**3 - 4*k). -2436*k**3 Expand (20*c - 20*c + c**2 - 2*c**2 - c**2 + 4*c**2 + (-3*c + 3*c + c)*(-c + 0*c + 2*c))*(0*c - 29*c - 20*c). -147*c**3 Expand 144*t**3 + 125*t**3 - 107*t**3 + (-t + 2*t**2 + t)*(-t + t - 3*t). 156*t**3 Expand (3*r**2 - 64*r**2 + 26*r**2)*(2*r + 0*r - 4*r). 70*r**3 Expand (-1 - 46 + 7)*(4 - 3 - 2)*(3*p - 3*p - p). -40*p Expand (5*l - 2*l - l)*(1 - 1 + l) + (269*l + 1125 - 1125)*(2*l - l + 2*l). 809*l**2 Expand (-u + 5*u - 6*u)*(-4 + 0 - 1)*(3*u**2 + 0*u**2 + 0*u**2). 30*u**3 Expand (-21 - 57 - 3 - 13)*(2*m**2 + 0*m**2 - m**2). -94*m**2 Expand (3 - 5 - 9)*(13*m**4 - 8*m**4 + 25*m**4). -330*m**4 Expand 6*p**4 - 31*p + 31*p + 0*p**4 + 3*p**4 - 2*p**4 + (2*p - 2 + 2)*(p**3 - p**3 - p**3) - 57*p**2 - 13*p**4 + 57*p**2. -8*p**4 Expand (5*z + 0*z + 4*z)*(-z + 0*z - z) - 5*z**2 - 10*z**2 - z**2. -34*z**2 Expand (52*a - 12*a**3 - 52*a)*(-a + 4 - 4) - a**4 - a**4 + a**4 + (-a + 1 - 1)*(-a**3 - 3 + 3) + 2*a + 2*a**4 - 2*a. 14*a**4 Expand (-2*a - 2*a - a)*((-3*a + 3*a + 2*a**4)*(0 + 0 - 1) - 4*a**4 + 3*a**4 + 0*a**4)*(2 - 4 - 1) + (-5*a**4 + 2*a**4 + a**4)*(-1 + 1 - a). -43*a**5 Expand (-2*r + 3 - 3)*(23 - 86 - 48) + (1 - 4 + 5)*(r - 2*r + 0*r). 220*r Expand (-4*s + 0*s - 3*s)*(0*s - 2*s + 0*s) - s**2 + 0*s**2 - s**2 + (s + 2*s - 5*s)*(s - 3*s + 0*s) + 2*s**2 + 0*s**2 - 4*s**2 - s - s**2 + s. 13*s**2 Expand (5 + 5 - 9 + 2*o**2)*(4*o - 9*o + 12*o + o - 3*o + 4*o + (-5*o + 3*o + 4*o)*(3 + 2 - 4) - 3*o - 2*o + 4*o). 20*o**3 + 10*o Expand -v**2 + 5*v**2 - 3*v**2 - 3*v**2 + 4*v**2 - 3*v**2 + (2*v - v + 0*v)*(0*v + 0*v - v) + 6*v**2 - v**2 + v**2. 4*v**2 Expand (0*b**2 + 2 + b**2 - 4)*(-13*b + 0*b - 15*b). -28*b**3 + 56*b Expand (l - 1173*l + 2306*l)*(-3 + 3 - 3*l)*(-5 + 4 - 1) + 4*l**2 + 3*l - l - 3*l**2. 6805*l**2 + 2*l Expand 17*q**3 + 23*q**3 - 11*q**3 + q**3 + q**3 - q**3 + (0*q**2 + 0*q**2 - q**2)*(q - q + 2*q) + 2 - 2 - 2*q**3 - 4*q**3 - 2*q**3 + 5*q**3. 25*q**3 Expand l + l + 124*l**3 - 67*l**3 + 2*l**3 - l**3 - 2*l**3 - 2*l**3 - 2*l**3 + 6*l**3 + (-l - 3*l + 5*l)*(-3*l**2 + 5*l**2 + 0*l**2). 60*l**3 + 2*l Expand (115*w**2 + 13455 - 13455)*(2 + 2 - 5 - 2*w + (2*w - 4*w + w)*(0 + 1 - 2)). -115*w**3 - 115*w**2 Expand (3*f**2 + 2*f**2 - 6*f**2)*(6*f**2 - f**2 + 3*f**2) + 4*f**4 - 2*f**4 - f**4. -7*f**4 Expand (0 - 4*y + 0)*((-1 + 0 + 3)*(-6 - 3 + 6) - 3 - 1 + 5). 20*y Expand (-2 - 2 + 3)*(-519*z**3 + 86*z**3 + 90*z**3). 343*z**3 Expand (w - w - w)*(w - 3*w + 7*w) + (5*w - w - 3*w)*(-3*w + 3*w - 4*w). -9*w**2 Expand (-2*m**3 - m**3 + m**3)*(89*m**2 + 26 - 26). -178*m**5 Expand 26 - 26 + 19*q**2 + 5*q**2 + q - q + (-1 + 1 + 2*q)*(3*q - 2*q + q). 28*q**2 Expand (-2*j**3 + 0*j**3 - 2*j**3)*(0*j + j - 2*j)*(5 - 11 + 5). -4*j**4 Expand (6*t - 6*t - 2*t**2)*(-t**2 + t**2 + 2*t**2) + (2 - 2*t**2 - 2)*(3*t**2 + 2*t**2 - t**2) + 4*t**2 + 3*t**4 - 4*t**2. -9*t**4 Expand (3*w - 5*w + w)*(-3 - 3 + 4) + 23*w - 84*w - 208*w. -267*w Expand (-304 - 69 + 803)*(-t - 4*t + 0*t). -2150*t Expand (5*z**4 - 5*z**4 + 3*z**5)*(-2 - 77 + 2)*(0 - 1 - 1). 462*z**5 Expand y**3 - y**3 - 2*y**3 + 2 + y**3 - 3*y**3 + 0*y**3 - y**3 + 6*y**3 - 3*y**3 + (-4*y**3 + 0*y**3 + 2*y**3)*(5 - 3 - 3) - y**3 + y**3 - y**3. -y**3 + 2 Expand 1 - 1 - 3*z + (-2 - 3 + 6)*(0*z + 2*z - 4*z) + 10 - 11*z - 22 + 12*z. -4*z - 12 Expand (-1151*w + 456*w + 425*w)*(4*w - 2*w - 3*w). 270*w**2 Expand -26*u**2 + 26*u**2 + 3*u**4 + (-u**2 + 3*u**3 + u**2)*(-2*u + 4*u - u) + 3*u**2 + 2*u**4 - 3*u**2. 8*u**4 Expand -226*i**4 - 45*i**4 + 68*i**4 + (-3 + 3 - i**2)*(-2*i**2 + 2*i - 2*i). -201*i**4 Expand (-3*g**3 - g**3 + 6*g**3)*(-4731 + 35*g + 4731) + 2*g**4 + 0*g**3 + 0*g**3. 72*g**4 Expand (-4*l**3 + 6*l**3 - 3*l**3)*(-2*l + l - 4*l) + 23*l**4 + 22*l**4 + 32*l**4 - 22*l**4. 60*l**4 Expand 2*i**4 - 4*i**4 + i**4 - 2*i**4 + i**4 + 2*i**4 + (i**2 - i + i)*(2*i**2 + 0 + 0) - 11*i**4 - 27 + 27. -9*i**4 Expand (-6 - 6 - 11)*(-2*y - 3*y + 13*y + 1)*(2*y**2 - 2*y + 2*y). -368*y**3 - 46*y**2 Expand (-2 + 3*y**3 + 2)*(141*y + 424*y - 35*y). 1590*y**4 Expand (0*n**4 - 3*n**4 + 0*n**4 + (5*n**2 + 0*n**2 - 4*n**2)*(-3*n**2 + 0*n**2 + 2*n**2) - n + n - n**4 - 5*n**4 + 0*n**4 + 4*n**4)*(7*n - 5*n - 4*n). 12*n**5 Expand (5*i**2 - i**2 - 5*i**2 - 1)*(-32*i**3 - 324*i**3 + 97*i**3). 259*i**5 + 259*i**3 Expand (-2 + 4 - 4)*(-2 + 1 + 2)*(26*y**4 + 0*y**4 - 13*y**4) - 20*y**4 + 0 - 1 + 17*y**4. -29*y**4 - 1 Expand (1340*k**2 - 364*k**2 - 105*k**2)*(0*k**3 + 0*k**3 + k**3). 871*k**5 Expand (0*t - t + 3*t)*(-3*t + 3*t + t) - 11*t**2 - 48*t + 48*t + (3*t - 3*t - t)*(-3*t + 2*t + 0*t). -8*t**2 Expand (3*q - 6*q + q + 1 - q - 1 + (2*q - 2*q - 2*q)*(-2 - 1 + 2))*(-q**4 - 4*q**4 - 2*q**4). 7*q**5 Expand (u**2 - 3*u**2 + 6*u**2)*(2*u + 2*u - u). 12*u**3 Expand (-2 - 3*s + 2)*(((s + 5*s - 4*s)*(-1 + 5 - 1) - 2*s + 6*s - 2*s)*(4*s - s - s) + 0*s**2 + 2*s**2 + 2*s**2). -60*s**3 Expand (-8*q**2 + 4*q**2 + q**2)*(3*q**2 + 3*q**3 - 3*q**2) - q**2 + 2*q**5 - 17*q + 17*q. -7*q**5 - q**2 Expand (-o + 0*o + 0*o)*(-2*o**3 - o**3 + 5*o**3)*(-32 + 84 - 292). 480*o**4 Expand (-4*h + 4*h - 2*h - h - 3 + 3 + (-6 + 3 + 2)*(2*h - h + 0*h) - 4*h - h + 4*h + 3*h + h - h + 2*h - h + 3*h)*(-4*h + 0*h + 5*h). 2*h**2 Expand -116*j + 0 + 146*j + 3 + 0*j + 2*j - 4*j + (-j + 2*j + j)*(4 - 1 - 1). 32*j + 3 Expand -2*c**5 - 2*c + 2*c + (2*c**4 - c + c)*(3*c + 0*c - 5*c) + 4*c**5 - 3*c**5 + c**5 - 13*c + 5*c**5 + 13*c + (-5*c + 2*c + c)*(28 - 28 + 9*c**4). -17*c**5 Expand (-2*s + 6*s - 51*s**2 + 56*s**2)*(2*s**2 - s**2 + 0*s**2). 5*s**4 + 4*s**3 Expand (-71 - 64 - 59 - 108)*(d**5 - d**5 + 3*d**5). -906*d**5 Expand (-14*k**3 + 6*k**3 + 10*k**3)*(0*k**2 + 8*k**2 - 2*k**2) + (-5*k**3 + 3*k**3 + k**3)*(0*k**2 - 2*k**2 + 4*k**2). 10*k**5 Expand 2*u**4 + 0*u**3 + 0*u**3 + (3*u - 3*u + 2*u**2)*(1 - 1 + u**2) + (226 - 226 - 142*u)*(-2*u**3 + 6*u**3 - 2*u**3). -280*u**4 Expand -u**4 + u**4 + 2*u**4 + 0*u**2 + 0*u**2 + 8 - u**4 + (-2*u**3 + u**3 - u**3)*(u + 5*u - 3*u) + 21*u**4 + 96*u - 96*u. 16*u**4 + 8 Expand 80*c + 92*c + 316 - 171*c + (-1 - 2 + 1)*(-c + 0*c - c). 5*c + 316 Expand (2*p + 3 - 3 + (260*p - 22*p + 267*p)*(-5 + 2 + 2))*(-3 + 5 + 0 - p). 503*p**2 - 1006*p Expand (2 - 2 + 2*q)*(-4*q**2 + 4*q**2 - 2*q**2)*(-q + 3*q - 15*q)*(90 - 22 - 46). 1144*q**4 Expand (-4*u**2 - 5*u**2 + 0*u**2)*(7*u**2 + 34*u**2 + 8*u**2)*(-2*u + 3*u - 4*u + 2). 1323*u**5 - 882*u**4 Expand (2 - 3 - 1)*(0*n + 5*n - 4*n) - 241 + 111 + 13*n + 111 + n. 12*n - 19 Expand (8 - 1 + 9)*(-89*f - 208*f + 82*f - 66*f). -4496*f Expand 0*i**3 - 6*i**3 + 5*i**3 + (2*i**3 - 3*i + 3*i)*(6 + 0 + 23). 57*i**3 Expand (4 - 4 + 1)*((-k + 2*k + 0*k)*(1 - 1 + 2) + (42 + 17 + 0)*(2*k - 5*k + k)*(1 + 2 + 3)) + 2*k + 0 + 0. -704*k Expand 0*a + 15*a**3 - 6*a + 3*a + (-2*a**2 - 2 + 2)*(-1 - 2*a + 1) - 3*a**3 + 3*a**3 + a**3. 20*a**3 - 3*a Expand (4 - q - 4)*(0 + q + 0) - 134*q**2 + 785*q**2 + 134*q**2 - 4*q**2 - 2*q**2 + 5*q**2 + (2 - 2 - 1)*(-3*q**2 + 6*q**2 - q**2) + 2*q**2 - 4*q**2 + 3*q**2. 782*q**2 Expand (2 + 0 + 0)*(-1 - 1 - 7)*(-47*a - 128 + 128). 846*a Expand (-25 + 25 + 5*n + (-1 - 1 + 1)*(-2*n - n + 4*n))*(24*n - 47*n - n). -96*n**2 Expand (f**2 + 2*f - 2*f)*(-2 + 3 + 2) - 30*f + 26*f**2 + 56*f - 25*f. 29*f**2 + f Expand (-81 - 93 + 34)*(u**2 + 0*u**2 - u + u**2). -280*u**2 + 140*u Expand (-14*d**2 + 6*d**2 + 2*d**2)*(-3 + 6 - 4 + (-1 + 2 + 1)*(-2 + 3 - 2))*(3 + 0 - 4). -18*d**2 Expand (0*c**4 + 2*c**4 - c**4)*(2*c - 2 - 1 - c) + 60*c**5 + 24*c**2 - 24*c**2. 61*c**5 - 3*c**4 Expand (4 - 6 + 4)*(540 + 2*x - 1032 + 534). 4*x + 84 Expand (0 - 1 + 0 + (-1 + 2 + 3)*(4 - 1 - 2))*(-4*a + a + 2*a - 5 + 5 - 2*a + (-2 - 3 + 3)*(4 - 4 - 2*a) + a + a + 0*a). 9*a Expand 93*h**3 - 667*h**3 + 87*h**3 + (-6*h**2 + 3*h**2 + h**2)*(-h + h - h) + h**3 - 2*h**3 + 0*h**3. -486*h**3 Expand (275 - 333 + 183)*(4*s + 2*s - 3*s)*(5 - 2 - 1). 750*s Expand (-3*y**2 + 3*y**2 - y**2)*(53*y - 27*y - 16*y) + (3*y - y - y)*(2*y**2 - 3*y**2 + 0*y**2). -11*y**3 Expand (2*k**4 + 0*k**4 - 4*k**4)*(118 - 343 - 452 + 48). 1258*k**4 Expand (50*p**2 - 983 + 983)*(p + 4*p - 4*p) - 1 + 1 - p**3 + 4*p**3 - p**3 - 2*p**3. 50*p**3 Expand ((-u + u + u)*(3 + 0 - 1) - 3*u + 3*u - 3*u)*(u - u - 3*u). 3*u**2 Expand (-2*l + 39*l
{ "pile_set_name": "DM Mathematics" }
+ -1? 874 In base 7, what is -203 + -2? -205 In base 2, what is -110001001010 + -11? -110001001101 In base 4, what is -3 - -103? 100 In base 11, what is 10 + -82? -72 In base 16, what is -3 + -67? -6a In base 4, what is 1 + -20300? -20233 In base 9, what is 2 - -878? 881 In base 15, what is -ee0 - -2? -edd In base 2, what is -11010 + -11011? -110101 In base 10, what is -55 - 16? -71 In base 2, what is 1000000 - 1? 111111 In base 13, what is 17b + -10? 16b In base 2, what is -110001010 + -11? -110001101 In base 8, what is 541 - 1? 540 In base 13, what is 4 + 119? 120 In base 13, what is -27b - 3? -281 In base 7, what is -5 + 163? 155 In base 14, what is -3a5 + -1? -3a6 In base 8, what is -3 + 34? 31 In base 5, what is 204 + -32? 122 In base 9, what is 4814 + 5? 4820 In base 4, what is 20223 - 1? 20222 In base 12, what is -127 - -19? -10a In base 2, what is 100101 - -1111011? 10100000 In base 4, what is -20 + 10320? 10300 In base 11, what is -98 - 3? -a0 In base 13, what is -24 + 6? -1b In base 3, what is 2121 - -1111? 11002 In base 5, what is 1110 - -32? 1142 In base 13, what is 1 - 376? -375 In base 3, what is -2122 + -2? -2201 In base 16, what is 3 - -22? 25 In base 2, what is 11000010 - 101? 10111101 In base 5, what is -10 + -1440? -2000 In base 14, what is -48 + 21? -27 In base 14, what is -1 + b9? b8 In base 9, what is 5 + 4? 10 In base 16, what is -4 + a6? a2 In base 5, what is 340 - 32? 303 In base 5, what is 204 - -201? 410 In base 2, what is -11 + -100100000010? -100100000101 In base 14, what is -6 + -42b? -433 In base 9, what is 3 + 45? 48 In base 7, what is -16 + -44? -63 In base 12, what is 9 - 20? -13 In base 11, what is -124 - -1? -123 In base 2, what is 0 + -11110110001? -11110110001 In base 11, what is -2784 - -1? -2783 In base 13, what is 2 + 99? 9b In base 4, what is 21302 + -10? 21232 In base 8, what is 1 + 526? 527 In base 14, what is -a - 1a? -26 In base 5, what is 1 + -13001? -13000 In base 5, what is -2 + 30041? 30034 In base 16, what is 24 + 4? 28 In base 2, what is 1001010 + -1? 1001001 In base 13, what is 187 - -3? 18a In base 12, what is 3 + -129? -126 In base 3, what is 122021110 - 2? 122021101 In base 7, what is 13 + 35? 51 In base 7, what is -24 - 551? -605 In base 11, what is 131 + 11? 142 In base 14, what is 2b0 + -2? 2ac In base 14, what is -31a + -5? -321 In base 13, what is -99 - 5? -a1 In base 3, what is 0 + -222200? -222200 In base 9, what is 43 + 2? 45 In base 10, what is -2 + -23? -25 In base 3, what is 0 - 100202? -100202 In base 4, what is 32311 - 2? 32303 In base 14, what is -2 - 1a? -1c In base 14, what is -13 + 10? -3 In base 2, what is 1001 + -10110? -1101 In base 5, what is 0 + -22? -22 In base 15, what is -63c - -5? -637 In base 12, what is 4 + 3? 7 In base 3, what is -112220 - 2? -112222 In base 10, what is -8976 - -4? -8972 In base 9, what is -4 - -66? 62 In base 16, what is -7b + -3? -7e In base 4, what is -112 + 23? -23 In base 5, what is -11 + -14214? -14230 In base 15, what is 6e8 - -3? 6eb In base 13, what is -36 + 79? 43 In base 3, what is 11 + 12002? 12020 In base 10, what is 83 + -2? 81 In base 7, what is 141 + 14? 155 In base 3, what is 1 - 1122? -1121 In base 9, what is 22 - -7? 30 In base 9, what is 1 - 20? -18 In base 3, what is 210222 - 0? 210222 In base 7, what is -164 - 0? -164 In base 11, what is -15 - -20? 6 In base 12, what is 64 + -19? 47 In base 8, what is 12 - -30? 42 In base 14, what is -352 - -2? -350 In base 7, what is 451 + 0? 451 In base 8, what is 2275 + -4? 2271 In base 16, what is 2 + 3b8? 3ba In base 14, what is b4 - -3? b7 In base 4, what is -32 + -32123? -32221 In base 8, what is 5 - 753? -746 In base 2, what is -11000001110 - 1? -11000001111 In base 14, what is 172 - 4? 16c In base 14, what is -53 - -10? -43 In base 15, what is -756 + 1? -755 In base 12, what is -5 + -3700? -3705 In base 12, what is -3 + -5? -8 In base 6, what is -55342 + 1? -55341 In base 13, what is -65 - -3? -62 In base 2, what is 11 - -111011101? 111100000 In base 15, what is -d - -1a? c In base 12, what is 6 - -1? 7 In base 2, what is 10110 - -11100? 110010 In base 15, what is -6 + 22? 1b In base 12, what is -293 + 6? -289 In base 9, what is -582 + 4? -577 In base 12, what is 3 + -25? -22 In base 6, what is 51 - 2? 45 In base 15, what is 3 - -78? 7b In base 5, what is -1120 + 110? -1010 In base 15, what is -34 - 1ee? -233 In base 16, what is c + -5? 7 In base 6, what is -3 + 2112? 2105 In base 11, what is 4 - 1? 3 In base 5, what is -42 - 3413? -4010 In base 16, what is -e + 60? 52 In base 10, what is -463 + -41? -504 In base 11, what is -15 + -4? -19 In base 15, what is -21dc - -4? -21d8 In base 5, what is -13 - 41? -104 In base 8, what is 10 - -102? 112 In base 12, what is 1126b - 2? 11269 In base 14, what is 2b - 30? -3 In base 8, what is 2 - 1523? -1521 In base 4, what is -10232303 - -11? -10232232 In base 7, what is -1 - 2261? -2262 In base 8, what is 2315 + 2? 2317 In base 13, what is -2ac - 0? -2ac In base 4, what is 301 + -1031? -130 In base 3, what is -22220 - -12? -22201 In base 8, what is 346 - -51? 417 In base 16, what is -ab + -12? -bd In base 14, what is -31 - 1? -32 In base 9, what is -3526 + -5? -3532 In base 10, what is -996 - 3? -999 In base 11, what is 24 + -266? -242 In base 4, what is -10300 + -12? -10312 In base 14, what is 12 + 50? 62 In base 16, what is -1 - db? -dc In base 9, what is 4 + 404? 408 In base 9, what is -1 - 208? -210 In base 4, what is -23 - 1000? -1023 In base 7, what is -6 - -42? 33 In base 5, what is 1 + -2004? -2003 In base 13, what is 3 - 186? -183 In base 8, what is -236 - 4? -242 In base 15, what is -5 - -a? 5 In base 4, what is 0 + 22111? 22111 In base 13, what is 4 - -29? 30 In base 7, what is -1451 + -2? -1453 In base 2, what is 101 - -1? 110 In base 8, what is 5 + 35? 42 In base 11, what is 16 + -267? -251 In base 15, what is -68d - -b? -682 In base 5, what is -41204 - 11? -41220 In base 7, what is -255 + 0? -255 In base 13, what is 23 - 6b? -48 In base 9, what is -16415 - -3? -16412 In base 8, what is -601 - 0? -601 In base 13, what is 58 + 52? aa In base 9, what is 47 - 171? -123 In base 15, what is -3 + a? 7 In base 9, what is -10 - 210? -220 In base 16, what is -fdd + 5? -fd8 In base 4, what is -10 + 103? 33 In base 13, what is -13 - -3? -10 In base 3, what is -2110 - 1021? -10201 In base 11, what is -1683 + 2? -1681 In base 4, what is 10 - 1311? -1301 In base 5, what is 234 + -4? 230 In base 12, what is 1901 - 5? 18b8 In base 16, what is -206 - 1? -207 In base 15, what is 4 + -1e? -1a In base 14, what is -1d - -18? -5 In base 14, what is -1276 + 3? -1273 In base 3, what is -21 - -1010122? 1010101 In base 11, what is 4 + -90? -87 In base 14, what is -b - -1aa? 19d In base 12, what is 1307 - 4? 1303 In base 13, what is 3 - b1? -ab In base 6, what is -5 - 103? -112 In base 8, what is 5424 - 14? 5410 In base 16, what is 1a + -4? 16 In base 7, what is 543 + -4? 536 In base 11, what is 439 + -4? 435 In base 8, what is 123 + 343? 466 In base 12, what is -98 - -12? -86 In base 5, what is -1232 + -4? -1241 In base 11, what is 41 + -4? 38 In base 10, what is 294 + -24? 270 In base 14, what is -5 - 100? -105 In base 8, what is 226 + -6? 220 In base 8, what is 1732 + -3? 1727 In base 7, what is 235 + 1? 236 In base 11, what is -558 - -14? -544 In base 12, what is 4 - 8? -4 In base 8, what is -1 - 31? -32 In base 8, what is -1 - -402? 401 In base 12, what is -587 - -3? -584 In base 15, what is -147 + 5? -142 In base 5, what is -1 - -11430? 11424 In base 2, what is -1001011111 + -1010? -1001101001 In base 10, what is 0 + -136? -136 In base 2, what is -1001100110111 + 101? -1001100110010 In base 16, what is 7 + -11? -a In base 16, what is 174 + -3? 171 In base 7, what is 16 + 5? 24 In base 9, what is 11 - -751? 762 In base 5, what is -342 - 4? -401 In base 7, what is -1 - 3032? -3033 In base 11, what is -126 - -2? -124 In base 3, what is -2222 - 12? -10011 In base 9, what is 1 + 2044? 2045 In base 13, what is -69 - 3? -6c In base 13, what is -12 + -283? -295 In base 10, what is -7 - -48? 41 In base 12, what is 3 - -49? 50 In base 3, what is 11201100 + 11? 11201111 In base 10, what is 2 + -757? -755 In base 15, what is 1 - -18? 19 In base 2, what is
{ "pile_set_name": "DM Mathematics" }
*j*k + 8*k*u wrt j. -24*k*u - 6*k + 2154*u - 6 What is the third derivative of a**2*o**3*p + 47*a**2*o**2*p - 3*a**2*o**2 - 3*a**2*o*p + 821*a*o**3 + 17*a*p wrt o? 6*a**2*p + 4926*a Differentiate -93*c**2*y + 479*c**2 - c*y + 36*c + y + 1 wrt y. -93*c**2 - c + 1 What is the first derivative of 1584*x**2 - 18*x - 333097 wrt x? 3168*x - 18 What is the third derivative of -22*k**5 - 109*k**4 + 20*k**3 + 21*k**2 + 2473*k - 2? -1320*k**2 - 2616*k + 120 What is the third derivative of 502*k**2*l**3 - 21137*k**2*l**2 + 490*k*l**3 + 2*k*l**2 + 2*l**2 wrt l? 3012*k**2 + 2940*k Differentiate -66623*a**2 - a - 660004. -133246*a - 1 What is the third derivative of 4*b**3*t**3 - 3*b**3*t**2*x - b**3*t**2 + 3*b*t**3*x + b*t**2*x + b*t*x + 888*t**3*x - 112*t**2 wrt t? 24*b**3 + 18*b*x + 5328*x What is the derivative of 5513253*s + 4506483? 5513253 What is the first derivative of -z**4 - 3*z**3 - z**2 + 1596*z + 183871? -4*z**3 - 9*z**2 - 2*z + 1596 Differentiate -8080*b**2*m**2 + 2*b**2*m + m**2 + 17*m - 44 with respect to b. -16160*b*m**2 + 4*b*m What is the first derivative of -15*g**2*i - 823*g**2 - 192*g*i**2 + 3*g wrt i? -15*g**2 - 384*g*i Find the second derivative of 17*n**4*y + 1209*n**2*y**3 + 17676*n*y - y**3 wrt n. 204*n**2*y + 2418*y**3 What is the second derivative of -1359*f**5 - 42*f**3 + 9*f + 71? -27180*f**3 - 252*f What is the derivative of 3*a**4 + 6514*a**2 - 909849 wrt a? 12*a**3 + 13028*a What is the third derivative of 50295*p**3 - 344436*p**2 wrt p? 301770 What is the first derivative of -1169*b**2*p**2 - 2*b**2*p - 95*b**2 - 14*b + 5*p + 3 wrt p? -2338*b**2*p - 2*b**2 + 5 Differentiate 455912*l**2*t + 361084*t wrt l. 911824*l*t Find the third derivative of -x**5 - 10905*x**4 - 7*x**2 + 26328 wrt x. -60*x**2 - 261720*x Find the second derivative of 135341*d**4 - 71631*d - 3. 1624092*d**2 Find the first derivative of 114*r**4 + 2*r**3 + 7*r**2 - 5*r + 659668. 456*r**3 + 6*r**2 + 14*r - 5 What is the second derivative of -1051*x**3 + 464*x**2 - 1111462*x wrt x? -6306*x + 928 What is the derivative of -5*p**4 - 2*p**2 - 9232*p - 304483 wrt p? -20*p**3 - 4*p - 9232 Differentiate -q**3*r**2 - 13*q**3 - 103*q**2*r**3 + 2*q**2 - 1355*q wrt r. -2*q**3*r - 309*q**2*r**2 What is the derivative of 222*g**3*m**2 - 2*g**3*m - 6*g**3 - 63*g**2 - 134*g - 15*m**2 wrt m? 444*g**3*m - 2*g**3 - 30*m Find the third derivative of 765*g**3*i**2 + 2*g**3*i + 13*g**3 + 36309*g**2*i**2 + 9*g*i**2 + 2*i**2 wrt g. 4590*i**2 + 12*i + 78 What is the third derivative of -4389*p**6 - p**2 - 1075*p + 5 wrt p? -526680*p**3 What is the second derivative of -18533*v**2 - 1941*v + 6 wrt v? -37066 What is the derivative of 337191*p**3 - 340283? 1011573*p**2 Find the second derivative of 3*j**5 - 58*j**4 + 3015*j**2 + 930943*j. 60*j**3 - 696*j**2 + 6030 Find the third derivative of -1134779*t**3 - 1372452*t**2. -6808674 Find the third derivative of 529*u**4 + 69*u**3 + 12*u**2 - 282*u - 12 wrt u. 12696*u + 414 Find the second derivative of 295516*j**4 - 346488*j wrt j. 3546192*j**2 Find the third derivative of 2613*w**4 + 7*w**3 + 2297*w**2 + 4 wrt w. 62712*w + 42 Find the second derivative of -2*g**2*n**2*z**3 - 26*g**2*z**3 + 676*g*n*z**2 - 1447*n**2*z**3 + n*z**3 wrt n. -4*g**2*z**3 - 2894*z**3 What is the second derivative of 54*c*h**2*i + 350*c*h*i**3 + 13*h**2*i**2 - 5*h**2*i + 3*i**3 - 251*i wrt i? 2100*c*h*i + 26*h**2 + 18*i What is the second derivative of 2788*m**2*n**2 + 7*m**2*n + m*n + 2*m + 2*n**3 - n**2 + 709 wrt n? 5576*m**2 + 12*n - 2 What is the first derivative of 21496*j**2*z**2 + 28*j**2 + 120*j wrt z? 42992*j**2*z Find the third derivative of -152710*m**3 - 1016196*m**2. -916260 Differentiate 9844*a**4 - 57077. 39376*a**3 What is the third derivative of 794913*m**3 + 837651*m**2 wrt m? 4769478 What is the third derivative of -84*c**3*l**5 + 41*c**3*l**4 + 5*c**3*l - 14*c**2*l**2 - 65*l - 6 wrt l? -5040*c**3*l**2 + 984*c**3*l Differentiate -36226*b**2 - 38168 with respect to b. -72452*b Find the second derivative of -14697*h**2*x**3 + 1360*h**2 - 10*h*x**2 + 37*h*x - 1 wrt x. -88182*h**2*x - 20*h Find the first derivative of -3826*d**2 + 9*d - 874193. -7652*d + 9 Find the third derivative of 203736*p**3 - 16*p**2 + 4061. 1222416 Find the second derivative of -9190*x**2 + 20250*x. -18380 Differentiate -32*i**3 - 2*i**2 + 274*i - 44114 wrt i. -96*i**2 - 4*i + 274 Differentiate 1170021*p - 418924 with respect to p. 1170021 What is the third derivative of -31926*q**4 - 4*q**3 + 261*q**2 - 3*q - 9 wrt q? -766224*q - 24 Find the second derivative of 41412*l**2 + 16*l + 42. 82824 Differentiate -35188*j**2 - 137855 with respect to j. -70376*j Find the first derivative of 2685650*v - 3597454 wrt v. 2685650 Find the second derivative of -47467*v**3 + 42079*v wrt v. -284802*v What is the first derivative of 79*a*s**3 + 9*a*s - 2*a + 149164*s**3 wrt a? 79*s**3 + 9*s - 2 What is the third derivative of -38737*v**3 - v**2 + 283*v - 4 wrt v? -232422 Find the first derivative of 211*i**2*o + 29*i**2*v - i**2 + 633*i*v - 5*o*v + 33*o + 1 wrt o. 211*i**2 - 5*v + 33 Find the first derivative of 232865*f**3*u**2 - 5*u**2 - 5*u - 564 wrt f. 698595*f**2*u**2 What is the derivative of 4*m*n**3*q + 2*m*n**3 + 2*m + 170*n**2 + n - 902*q + 4 wrt q? 4*m*n**3 - 902 Find the second derivative of -3*m**3 - 27385*m**2 + 1468*m wrt m. -18*m - 54770 Find the third derivative of -2032009*c**3 - 3*c**2 - 1405*c - 7. -12192054 Find the third derivative of 639*b**3*r**3 + 6*b**3 + 2*b**2*o**2*r**3 - 21*b*o**2*r**2 + b*o*r - 3*b*r**2 - o*r**2 wrt r. 3834*b**3 + 12*b**2*o**2 What is the second derivative of -829*a**2*q**2 + 23*a**2 + 46*a*q**2 - 3236*a*q wrt q? -1658*a**2 + 92*a What is the third derivative of 10*m**3*n**3 - 287607*m**3*n**2 + 3775*m*n**3 wrt n? 60*m**3 + 22650*m Find the third derivative of 4927256*b**5 + 2059191*b**2. 295635360*b**2 Differentiate -789*u**3*y**2 - 276*u**3 + 3*u**2 + 70*y**4 - 18 with respect to y. -1578*u**3*y + 280*y**3 What is the third derivative of 36495*s**3 - 37876*s**2 + 2 wrt s? 218970 Find the second derivative of -15946*b**5 + 7996*b + 8. -318920*b**3 What is the second derivative of -105122*f**4 + 361168*f wrt f? -1261464*f**2 What is the second derivative of 76*g**4 + 3125*g**3 - 5364*g? 912*g**2 + 18750*g What is the third derivative of -75876*z**6 + 4298*z**2 - 3*z? -9105120*z**3 Find the second derivative of -308258*a**2*s + 54*a*s + 338*a + 2*s - 1 wrt a. -616516*s What is the derivative of -36*h**4 - 48*h + 26772 wrt h? -144*h**3 - 48 Find the second derivative of 1621112*j**2 - 6513011*j wrt j. 3242224 Find the second derivative of 2124*c**4*h - 4*c**2*h**2 + 9*c*h**2 - c*h + 15*h wrt c. 25488*c**2*h - 8*h**2 What is the second derivative of -2*h**2*p*v + 2*h**2*v**2 - h**2 - 2*h*p*v**2 + h*v**2 - 10*h*v + 1364*p*v**2 + 27*p wrt v? 4*h**2 - 4*h*p + 2*h + 2728*p What is the third derivative of 175*d**3*g**2*i**2 + 35*d**3*g*i**2 + d**2*g**2*i**2 + 774*d*i**2 + 10*d wrt d? 1050*g**2*i**2 + 210*g*i**2 What is the third derivative of 2*a**2*g**4 + 29949*a**2*g**2 + 26251*a*g**3 wrt g? 48*a**2*g + 157506*a What is the second derivative of -29745*t**5 + 67906*t? -594900*t**3 Find the second derivative of -39*m**3*z**2 - 69*m**3*z + 1292*m**2*z**2 + 2*m**2*z - 581*m**2 + 3*m*z**2 + 2*m - 2*z wrt z. -78*m**3 + 2584*m**2 + 6*m Find the third derivative of 3*g*p**4 + 2*g*p**3 + 5*g*p**2 - 4*g*p + 18*p**4 + 124*p**3 + p**2 + 571 wrt p. 72*g*p + 12*g + 432*p + 744 Find the second derivative of -24*l**2*z**3 + 12*l**2*z**2 - 54866*l*z**3 wrt l. -48*z**3 + 24*z**2 What is the third derivative of -2*b**3*p**5 - 254997*b**3*p**3 + b**3*p - 17*b*p**2 + b*p + 157*b wrt p? -120*b**3*p**2 - 1529982*b**3 What is the second derivative of 132*b**2*h**2*r*w + 35*b**2*w - b**2 - 76*b*h**2*r*w - 25*b*h - 3*b*r*w + 2*b*w wrt h? 264*b**2*r*w - 152*b*r*w Differentiate 1173017*c**2 + 1630309 wrt c. 2346034*c What is the derivative of 32790*g*v + 1639*v - 1 wrt g? 32790*v What is the third derivative of -53*m**2*y**3 + 3561386*m**2*y - 7344*m*y**3 - y**2 wrt y? -318*m**2 - 44064*m Differentiate 1534516*h**3 + 1041902. 4603548*h**2 Find the third derivative of 307*o**6 - 5*o**5 - 21*o**4 - 62*o**2 - 5993*o. 36840*o**3 - 300*o**2 - 504*o Find the second derivative
{ "pile_set_name": "DM Mathematics" }
*(v + 1)*(5*v + 2)/3 Let h = -7189/6 - -3596/3. Factor 0 - 3/4*x + h*x**2 + 1/4*x**3. x*(x - 1)*(x + 3)/4 Let a(g) be the second derivative of -g**5/10 - 5*g**4/6 + 2*g + 1. What is b in a(b) = 0? -5, 0 Suppose 0*y + 8*y = 32. Let -18*s**3 - 3*s**y + 3*s - 3*s**2 + 2 + 0 + 11*s**3 = 0. What is s? -1, 2/3 Let b(m) = 3 - 1 + m - 3. Suppose 30*r + 53*r + 332 = 0. Let j(z) = -z**2 + 2*z - 1. Let f(x) = r*b(x) - 4*j(x). Solve f(o) = 0 for o. 1, 2 Suppose 0*s = s, 0 = 4*a + 4*s - 28. Suppose -7*o = a*o - 42. Factor -1/3*q**o + 0*q + 0 + 1/3*q**2. -q**2*(q - 1)/3 Let d(l) be the first derivative of 9*l**5/10 - 2*l**4 + 5*l**3/6 + l**2/2 - 13. Find i, given that d(i) = 0. -2/9, 0, 1 Let s(w) = -w**4 - w**3 + w**2 - 1. Let g(m) = 9*m**4 + 72*m**3 + 417*m**2 + 660*m + 306. Let v(z) = g(z) + 6*s(z). Solve v(h) = 0 for h. -10, -1 Let -91/2*d**2 + 9/2*d**4 - 46*d - 9*d**3 - 14 = 0. Calculate d. -1, -2/3, 14/3 Suppose -z = 642 - 645. Let h(y) be the second derivative of 3/5*y**2 - 8*y + 1/5*y**4 + 3/100*y**5 + 1/2*y**z + 0. Factor h(o). 3*(o + 1)**2*(o + 2)/5 Let k(s) be the first derivative of -s**7/420 + 2*s**6/45 - 7*s**5/20 + 3*s**4/2 - 2*s**3 - 44. Let x(b) be the third derivative of k(b). Factor x(m). -2*(m - 3)**2*(m - 2) Suppose -4*n - 47 = -167. Suppose -n = -13*a + 9. What is j in 0*j - 2/3*j**a + 0 + 0*j**2 - 2/3*j**4 = 0? -1, 0 Let c(u) be the third derivative of -u**5/20 - u**4/8 + 34*u**2. Factor c(m). -3*m*(m + 1) Let 100 - 12*c**4 + 1274*c**3 - 337*c**3 + 160*c - 436*c**3 - 376*c**2 - 373*c**3 = 0. What is c? -1/3, 1, 5 Factor 2*a**2 + 50/11 - 2/11*a**3 - 70/11*a. -2*(a - 5)**2*(a - 1)/11 Let f = -5407/6 + 1805/2. Factor 0*q + f - q**2 - 1/3*q**3. -(q - 1)*(q + 2)**2/3 Suppose 19*d - 25*d + 36 = 0. Let p(w) be the first derivative of w**4 + 3 + 4*w - 8/3*w**3 - 1/3*w**d - w**2 + 4/5*w**5. Let p(i) = 0. Calculate i. -1, 1, 2 Let u(d) be the first derivative of -d**5/12 + 10*d**4/9 - 35*d**3/6 + 15*d**2 + 6*d - 11. Let j(i) be the first derivative of u(i). Let j(v) = 0. Calculate v. 2, 3 Factor 91*a**2 + 12 - 44*a + 320*a**3 + 309*a**2 + 78 - 483*a + 92*a. 5*(a + 2)*(8*a - 3)**2 Suppose 0*w - 988 = 4*w - 996. Factor -2/3*a**w + 0*a + 0. -2*a**2/3 Let u(o) be the second derivative of 0 + 1/3*o**4 - 2*o**3 - 34*o + 4*o**2. Factor u(j). 4*(j - 2)*(j - 1) Let p(q) be the second derivative of 0 + 6*q + 1/5*q**2 + 2/15*q**3 + 1/30*q**4. Factor p(o). 2*(o + 1)**2/5 Find h such that -472/7*h**3 + 1152/7*h - 4/7*h**5 - 92/7*h**4 + 0 + 768/7*h**2 = 0. -12, -1, 0, 2 Let g(n) = -14*n + 322. Let o be g(23). Let r = 1 + -1. Determine i, given that 2/3*i**4 - 4/3*i**2 + o*i**3 + r*i + 2/3 = 0. -1, 1 Let p(v) be the second derivative of 0 + 1/5*v**5 + 2/3*v**4 - 11*v - 8/3*v**3 - 16*v**2. Factor p(y). 4*(y - 2)*(y + 2)**2 Let u(b) = 3*b**2 + 13*b. Let g = -48 - -46. Let z(x) = -x**2 - 4*x. Let k(h) = g*u(h) - 7*z(h). Factor k(c). c*(c + 2) Solve 2/11*k**3 - 48/11*k - 46/11*k**2 + 0 = 0 for k. -1, 0, 24 Suppose 4*c = -5*t - 10, 4*t - 6*t + 3*c = -19. Factor 4/5 + 11/5*f - 3/5*f**t. -(f - 4)*(3*f + 1)/5 Let k be (-2)/18 + (-4 - (-52)/12). What is h in 2/9*h**2 - 2/9*h**3 + 2/9*h - k = 0? -1, 1 Let d(s) = 4*s**2 + 43*s - 107. Let k(x) = -4*x**2 - 44*x + 108. Let z(p) = -4*d(p) - 5*k(p). Find i such that z(i) = 0. -14, 2 Let u = 4045/528 + -359/48. Determine p, given that 0*p**3 - 2/11*p**4 + 0*p + 0 + u*p**2 = 0. -1, 0, 1 Let f(i) be the second derivative of -2*i**7/21 - 16*i**6/15 - 23*i**5/5 - 28*i**4/3 - 8*i**3 + 2*i + 16. Find x, given that f(x) = 0. -3, -2, -1, 0 Let r(x) be the second derivative of x**7/357 - x**6/51 - x**5/34 + 15*x**4/34 - 108*x**2/17 - 227*x. Let r(t) = 0. Calculate t. -2, 3 Let i(j) be the first derivative of -162*j - 42 - 2/3*j**3 - 18*j**2. Factor i(p). -2*(p + 9)**2 Let x(s) be the second derivative of -5/3*s**4 + 1/6*s**6 + 20/3*s**3 + 0*s**2 + 0 - 1/2*s**5 - 8*s. Let x(a) = 0. What is a? -2, 0, 2 Let n = 3 - -3. Suppose u - b = b + 4, -2*u + 2*b = -n. Solve -4 + 4*f + 4*f - u*f**2 - 2*f = 0 for f. 1, 2 Let a(o) = 2*o**2 - 2*o - 1. Let j = -23 + 22. Let i be a(j). Factor -21*d**i - 4*d**5 + 21*d**3 + d**4. -d**4*(4*d - 1) Let o(x) = 15*x**4 + 85*x**3 - 265*x**2 - 225*x + 280. Let m(k) = k**4 + 6*k**3 - 19*k**2 - 16*k + 20. Let i(z) = 55*m(z) - 4*o(z). Solve i(p) = 0 for p. -2, 1 Let v(r) be the third derivative of 2/39*r**4 + 1/780*r**6 + 4/39*r**3 + 1/78*r**5 + 0 - 6*r**2 + 0*r. Factor v(n). 2*(n + 1)*(n + 2)**2/13 Let c(t) = -9*t**2 - 27*t - 72. Let y(r) = -r**2 + 2*r - 3. Let o(b) = c(b) - 4*y(b). Let o(d) = 0. Calculate d. -4, -3 Let w be 15/6*15/2. Let q = -20515 + 20517. Factor 45/2*x**3 + 0 + 27*x**q - w*x**4 + 6*x. -3*x*(x - 2)*(5*x + 2)**2/4 Let t(r) be the second derivative of 0 + 2/3*r**3 + 1/6*r**4 + 0*r**2 - 3/10*r**5 - 1/15*r**6 + 1/21*r**7 - 14*r. Factor t(g). 2*g*(g - 2)*(g - 1)*(g + 1)**2 Let u(z) be the third derivative of -z**6/48 + 5*z**5/36 - 5*z**4/16 + 5*z**3/18 + 129*z**2. Suppose u(a) = 0. What is a? 1/3, 1, 2 Let o(l) be the first derivative of -l**7/8820 + l**5/315 + l**3/3 + 7. Let k(s) be the third derivative of o(s). Factor k(m). -2*m*(m - 2)*(m + 2)/21 Let y(a) be the second derivative of -a**2 + 7/8*a**4 + 1/20*a**6 + 0 - 1/4*a**3 + a - 17/40*a**5. Find g such that y(g) = 0. -1/3, 1, 4 Let t be 0/((-4 - -8) + -3). Let f(m) be the third derivative of t*m**4 + 0 + 0*m + 2/9*m**3 - 1/45*m**5 - 3*m**2. Factor f(w). -4*(w - 1)*(w + 1)/3 Let k = 63 + -39. Let h be ((-5)/(75/(-4)))/(k/140). Find m, given that 4/9 - h*m - 4/9*m**3 + 14/9*m**2 = 0. 1/2, 1, 2 Let a(w) be the first derivative of 4/3*w + 28/3*w**6 + 52/3*w**5 - 23/3*w**3 + 7/3*w**2 + 13 - 379/24*w**4. Suppose a(f) = 0. What is f? -2, -1/4, 2/7, 2/3 Let t(d) be the third derivative of d**6/1440 + d**5/160 + d**4/48 + 4*d**3 - 36*d**2. Let l(n) be the first derivative of t(n). Find u such that l(u) = 0. -2, -1 Let h be -6*92/(-8) - -3. Let g = -70 + h. Factor -k**4 - 1/2*k**g - 1/4*k + 7/4*k**3 + 0. -k*(k - 1)**2*(4*k + 1)/4 Solve -384/13 - 224/13*w - 38/13*w**2 - 2/13*w**3 = 0. -8, -3 Let b be ((-12)/(-36))/(-1*(-5)/9)*5. Factor 0 + 4/9*p - 2/3*p**b - 2/9*p**2. -2*p*(p + 1)*(3*p - 2)/9 Factor -2/11*r**2 - 16/11 - 18/11*r. -2*(r + 1)*(r + 8)/11 Let b be ((-5)/(-10))/(2/(-108)). Let r = 29 + b. Factor 5*y - 4*y**r + y + 18*y + 6 - 42. -4*(y - 3)**2 Let c be (8 - 119/14)/(2/(-16)). Let v(r) be the third derivative of 1/40*r**6 + 0 + 2*r**2 + 1/20*r**5 + 0*r - 1/70*r**7 + 0*r**3 - 1/8*r**c. Factor v(i). -3*i*(i - 1)**2*(i + 1) Let v(i) be the second derivative of -i**7/630 + i**6/60 - i**4/3 + 8*i. Let z(q) be the third derivative of v(q). Factor z(w). -4*w*(w - 3) Let b = 1 - 7. Let h be (12/18)/((-2)/b). What is l in -l - 19*l**2 - 5*l + 4*l**4 + 7*l**2 - h*l = 0? -1, 0, 2 Let y(m) = -70*m**3 - 195*m**2 + 1145*m - 1250. Let f(t) = -17*t**3 - 49*t**2 + 286*t - 312. Let x(r) = -25*f(r) + 6*y(r). Determine i, given that x(i) = 0. -15, 2 Let -j - 17/4*j**2 + 3/4 - 5/2*j**3 = 0. Calculate j. -1, 3/10 Suppose 5832/7 + 216/7*b + 2/7*b**2 = 0. Calculate b. -54 Let s = 6/65 + 33/65. Let k(j) = j**3 - 5*j**2 + 3*j + 6. Let v be k(4). Factor 2/5 + 1/5*o**v + s*o. (o + 1)*(o + 2)/5 Let g(p) be the first derivative of 21/4*p**4 - 17*p**3 - 18*p - 3/5*p**5 + 51/2*p**2 - 42. Factor g(s). -3*(s - 3)*(s - 2)*(s - 1)**2 Let o = 71/28 + -583/252. Factor -2/9*g**2 + o*g**3 + 0 + 0*g. 2*g**2*(g - 1)/9 Let h = 37 - 30. Let o be 1/(-5)*-5*3/h. Factor 6/7*a - o - 3/7*a**2. -3*(a - 1)**2/7 Let f = 40113/8 - 5014. Factor -f*b**3 - 1/8*b**2 + 1/2 + 1/2*b. -(b - 2)*(b + 1)*(b + 2)/8 Suppose -60 = 19*l - 24*l. Solve -3*w**2 - 3*w**2 + 7*w**2 - l*w**4 + 11*w**4 = 0. -1, 0, 1 Let g(f) be the third derivative of -f**6/300 + 3*f**5/10 - 161*f**4/20 - 529*f**3/15 - 181*f**2. Suppose g(r) = 0. Calculate r. -1, 23 Solve 111*f - 186 - 5*f**2 + 24*f + 515 - 39 = 0. -2, 29 Let a be (-6)/(-15) - 4/10. Suppose 262 - 38 + 356 = 116*z. Let 2/7*d**4 + 2/7*d**z + 0*d - 2/7*d**2 - 2/7*d**3 + a = 0. Calculate d. -1, 0, 1 Let h be ((-2)/6)/(9/(-513)). Suppose h = -2*r + 59. Factor 24*v**2 - r*v**4 + 186*v**4 + 44*v**4 + 75*v**5 + 132*v**3. 3*v**2*(v + 2)*(5*v + 2)**2 Solve -729/2*f + 81 - 408*f**3 + 594*f**2 + 96*f**4 = 0. 3/4, 2 Let w be (5 - (-182)/(-35)) + (-1262)/15. Let p = w + 85. Sol
{ "pile_set_name": "DM Mathematics" }
e in v, -5, s, -0.5? s Let m(v) = -v**3 + 13*v**2 - 24*v + 23. Let u be m(11). Which is the smallest value? (a) u (b) 6 (c) -32 (d) 2/17 c Let g = 2672.57 - 2672.37. Let f = -5 + 7. Which is the second biggest value? (a) 4 (b) g (c) f c Let j = -12 - -8. Let h = 1946.9 - 1943.9. Let o = 0 - 0. What is the second smallest value in j, o, -3, h? -3 Let j = 34252 - 34251.7. Let c = 2 - 1.8. What is the third biggest value in c, j, 0.01? 0.01 Let k = 320 + -901. Let y = -573 - k. What is the smallest value in 0.3, y, 1/2? 0.3 Let u = -232966/17 + 13704. Which is the smallest value? (a) u (b) -1/4 (c) 305 b Let r = 14.17 + 5.27. Let k = r + -0.44. Let t = -19.2 + k. Which is the smallest value? (a) 0.4 (b) 0.02 (c) t c Let v = -367 - -4770/13. Let m = 29.4 + -29. What is the second biggest value in m, 1/2, v, 4/9? 4/9 Let l be (-90)/144 - 540/(-96). Which is the smallest value? (a) 37 (b) l (c) -1 c Let g = -9971.5 - -9971. Which is the fifth smallest value? (a) g (b) 1.8 (c) 0.012 (d) -2/3 (e) 4 e Suppose -2*z = -z + 1, -2*n = -4*z + 26. Let u be (n/9)/((0 - -6)/3). What is the second smallest value in -9, -1/10, u? u Let r = 404.3 - 448. Let z = r + 44. Which is the second biggest value? (a) 1/4 (b) z (c) 2 b Let j = 120 + -77. Let l = -3540 - -3497.3. Let x = l + j. What is the second smallest value in 4, 2/3, 2/7, x? x Let r = -28316 - -198213/7. Which is the second smallest value? (a) -0.2 (b) -0.5 (c) r (d) 0.04 (e) 4/7 a Let i be -4 + 6 + (0 - 172). Let g be (-14 - -12)/(116/i) + -3. Suppose 3*f + 12 = -f. What is the fourth smallest value in f, 1/5, 2/3, g? 2/3 Suppose 136*u - 162*u + 4602 = 0. Suppose -6*x - u = -195. Which is the biggest value? (a) -3 (b) x (c) -100 b Let v = -0.102 - -9.102. Let r = 0.434 - 0.434. Which is the second smallest value? (a) -4 (b) r (c) v b Let r = -0.0858 - -1.0858. What is the biggest value in -1, 2/13, -8, r, -0.04? r Let u be (-14 + 501/36)/((-6)/(-16)). Which is the fourth smallest value? (a) -0.2 (b) u (c) 0 (d) 0.04 d Let y = 9.98979 + 0.01021. Let w = 4 - 7. Which is the smallest value? (a) -1/2 (b) y (c) w (d) -1 c Let n = -1 + 9. Let p be n/(-16) + (-42)/(-100). Suppose 4*d = 2*d - 10. What is the biggest value in -2/9, p, d? p Let h be (-4)/(-14) + 41/(861/(-90)). Let n = 0.7 + -0.4. Let t = 0.2 + n. What is the fourth biggest value in 2/7, t, h, -1? h Let x be 2 - (-4 + (-22)/(-4)). Let n = -409895291/1091391 - -2/155913. Let r = n + 375. Which is the smallest value? (a) r (b) x (c) 0.4 a Let n = -352 + 21. Let z = n + 328.3. Which is the third smallest value? (a) 4/3 (b) z (c) -1/4 a Suppose 0 = q + q. Let x be (-4 + q)*(-2)/4. Let s = 599149/3 + -199716. What is the biggest value in s, 3, 0.5, x? 3 Let j = -11 - 5. Let v = j - -25.8. Let h = 0.2 + v. Which is the third smallest value? (a) -0.4 (b) -2 (c) h c Suppose i + 2*l = 37, 0 = 4*i - 194*l + 193*l - 139. Let t = -0.4 - 2.6. Let n be 396/847 + (-4)/22. Which is the smallest value? (a) n (b) t (c) i b Let p = 193.6 + -41.6. Let u = p - 151.97. What is the biggest value in -0.2, -0.1, u, 0.07? 0.07 Let d = 455.5 - 454.5. What is the fourth smallest value in 2/17, d, 3, -2/13, 2/3? d Let j = 8708 + -261239/30. Let m = 0.056 - 0.156. Which is the smallest value? (a) j (b) -1 (c) m b Let i = 16.1 + -2.1. Let h = -14.5 + i. Let p be -2 - 32/(-3)*144/624. What is the biggest value in h, 0, p? p Let r be (4/(-18) + (-66)/(-54))/6. Which is the smallest value? (a) -2/5 (b) r (c) -5 (d) 11 c Let f = 11.244 - 11.144. Which is the biggest value? (a) -10/9 (b) 12/19 (c) f b Let g = -17439 + 17441. Which is the third biggest value? (a) 4 (b) 165 (c) g c Let x = -1825.3 - -1788.71. Which is the third biggest value? (a) x (b) 5 (c) -1/3 a Suppose -j + 3 = -17. Suppose j*m + 17 = 3*m. Let h = -59 - -235/4. Which is the fourth biggest value? (a) 0.4 (b) 2/7 (c) h (d) m d Let f be 14*1107/7194 - 4/2. Let y = f + 3/109. Which is the smallest value? (a) y (b) -4 (c) -0.3 b Let x = 0.41 + -0.34. Let y = 1.23 + x. Let h be (-2 + (-4)/8)*1. Which is the third smallest value? (a) h (b) y (c) -5 b Let p = 108 + -77. Let g = p - 31. What is the second smallest value in g, -0.7, -3, 3? -0.7 Let x be (-2)/3 + (-2 - -3). Let t = -103.8 - -103.6. Suppose 2*y = -8*r + 3*r + 4, 3*y + 3 = -3*r. What is the third smallest value in x, t, y? x Let s = -3630.1908 + -0.8092. What is the second biggest value in s, -5, -4/5? -5 Let o = -209.1586 + 209.2. Which is the second biggest value? (a) -2/11 (b) o (c) -1 (d) 3/8 b Let y be 27/(-16)*6592/(-48). Let d = y + -232. Which is the third smallest value? (a) d (b) 2/7 (c) -11 b Let o(u) = -u**3 + 15*u**2 - 14*u + 37. Let p be o(16). Let x = 2214/5 + p. What is the smallest value in x, -5, 1/2? -5 Let h be ((-4)/(80/15))/(42/28). Which is the biggest value? (a) -5/18 (b) h (c) -3 (d) -0.2 (e) 13/7 e Let p = -0.2 + 4.2. Let m be ((-40)/200)/(3/6). Which is the biggest value? (a) 1/4 (b) m (c) p (d) 1/3 c Suppose -36 = 8*h + h. Let s be 51/6*(-5 - -1). Let a = s + 31. What is the second smallest value in a, 3, h? a Let v = 16/511 - -1453/2555. What is the third biggest value in 1/2, v, -29? -29 Let a = 1757 - 1236. Let k = a - 520.5. Let w be ((-1)/(0 - -1))/9. What is the third biggest value in k, 2/5, 3/7, w? 2/5 Let d = 0.1 - 0.2. Let l = 281.285 + -281. Let q = l - -0.115. What is the second biggest value in q, -8, d? d Let t = 25.873 - -0.127. Let v = 130.9 - t. Let z = v + -105. Which is the biggest value? (a) 0.2 (b) -11 (c) z (d) 1 d Suppose -13*j = 199 - 251. Which is the fourth biggest value? (a) 40 (b) 4/3 (c) -0.5 (d) j c Let z = -0.3091 - -5.3091. What is the third biggest value in 3/227, 1, 0, z? 3/227 Let m = -133.1733 + 133.1. Let w = -1.9267 + m. What is the second smallest value in 1, w, 116, 4? 1 Suppose 3*x - 16*x + 117 = -26. Let h = 4.3 + -4. Which is the biggest value? (a) h (b) 1 (c) -0.5 (d) x d Let v = -11.9424 + -0.0576. Let d = -6.3 - -6. Which is the second smallest value? (a) 3 (b) d (c) v b Suppose 3*p + 0*t = -2*t + 14, 4 = 2*p - 4*t. Which is the fourth biggest value? (a) 0.3 (b) -0.5 (c) p (d) 0.014 b Let s = 309 + -205. Let z = s - 101. What is the third smallest value in z, -2, 2/5, 1? 1 Let g = -28 + 26. Let o = -21 - -21.32. Let q = o + -0.52. Which is the third smallest value? (a) -5 (b) 5 (c) q (d) g c Let y = -2064 + 2064.4. What is the third smallest value in 1/10, -3/16, 5, y? y Let g = -2/2333 + 4716/58325. Let q = 12.85 + 0.15. Let o = q - 10. What is the biggest value in o, 2/19, g? o Let n = 8396 + -10010. What is the third smallest value in 0.4, n, 2? 2 Let r = 416 + -410. Let k be (-1 - r) + (-1122)/(-165). Let z = -3 - -5. Which is the biggest value? (a) 0.5 (b) k (c) z c Let v = 1.96 - -0.04. Let f = -381 + 550.6. Let m = -170 + f. Which is the third smallest value? (a) -1.9 (b) m (c) v c Let f = 59105.31 - 59105. Let n = 0.5 + -0.3. Which is the third biggest value? (a) n (b) -4 (c) f (d) 1 a Let m = 5556 + -5552. Which is the fourth smallest value? (a) m (b) -0.1 (c) 5 (d) -42.3 c Let u = 1243 + -1243. Let w = -10 - -9. What is the biggest value in 0.16, -2, w, u? 0.16 Let m = -19.87 + -0.63. Let y = 16.5 - m. What is the third biggest value in 2, y, 3? 2 Let o be (-1 - 1 - -3)/(2 - -135). Let p = 283/1233 - o. Which is the second smallest value? (a) 2/21 (b) 4 (c) -1/6 (d) p a Let g(t) = 2*t**3 + 2*t**2 - 2*t - 3. Suppose 0*v + 3*k = v - 8, 2*v = k + 1. Let h be g(v). Which is the second smallest value? (a) -4 (b) h (c) 0.06 b Let j = 0.35 + -0.05. Let s = 187774 + -187771.75. Which is the second biggest value? (a) s (b) j (c) 5 a Let b = 1 - 1. Suppose -7*p = -7, 29*a = 34*a + 5*p - 20. What is the second biggest value in 22/9, a, b? 22/9 Let i = 5 + -11. Let r = -3876.7 + 3877. Which is the second smallest value? (a) r (b) 6 (c) i a Let n = -2499.9 + 2500. What is the third smallest value in 0.4, 5, 1034, n? 5 Let p = -15.07 - -15. Let j = p - -4.07. Let v = 65.35 - 65.5. Which is the third smallest value? (a) v (b) -1 (c) j c Let d = -364 + 363.6. Let s = -0.3 + -0.08. Let k = 0.02 - s. Which is the third biggest value? (a) -2
{ "pile_set_name": "DM Mathematics" }
*3. -3*y**3 Collect the terms in 14*q + 5*q - 15*q. 4*q Collect the terms in -34*y**2 - 28*y**2 + 130*y**2 - 31*y**2 - 34*y**2. 3*y**2 Collect the terms in -3 - 3*r**2 + 6 - 3. -3*r**2 Collect the terms in -14*a**3 + 4*a**3 - 9*a**3. -19*a**3 Collect the terms in -o + 3*o - 26 + 26. 2*o Collect the terms in 21*x**2 + 8*x**2 - 33*x**2. -4*x**2 Collect the terms in 125*x - 243*x + 120*x. 2*x Collect the terms in 3*u**3 + 1544*u - 1544*u. 3*u**3 Collect the terms in -3*b**2 - 8*b + 1 + 8*b - 2. -3*b**2 - 1 Collect the terms in -3 - 5 + 6 + 2 + o. o Collect the terms in 885861 - 885861 + 6*g**2. 6*g**2 Collect the terms in -t**2 - 7*t**3 + 3*t**3 - 2*t**2 + 3*t**2. -4*t**3 Collect the terms in 43*j**2 - 3 + 3 - 17*j**2. 26*j**2 Collect the terms in -5*m - 4*m - 4*m + 0*m. -13*m Collect the terms in -4*u - 7*u + 8*u. -3*u Collect the terms in 10 - 10 + 4*o**2. 4*o**2 Collect the terms in -12*u**3 + 24*u**3 - 13*u**3. -u**3 Collect the terms in 34*i - 55*i + 24*i. 3*i Collect the terms in -8*x**3 + 49*x**3 + 39*x**3. 80*x**3 Collect the terms in 36*p**2 - 64*p**2 + 34*p**2. 6*p**2 Collect the terms in 742*d**2 + 2*d - 2*d + 1363*d**2. 2105*d**2 Collect the terms in -13*r + 4*r + 3*r - 2*r. -8*r Collect the terms in 11*h**2 - 18*h**2 + 24*h**2. 17*h**2 Collect the terms in 110*y - 27*y - 25*y - 29*y - 28*y. y Collect the terms in 1 - 1 - 272*x**3 + 268*x**3. -4*x**3 Collect the terms in -u + 0*u + 74*u**2 + 0*u + 0*u. 74*u**2 - u Collect the terms in 19*c**2 - 280*c - 3*c**3 - 19*c**2 + 280*c. -3*c**3 Collect the terms in -3*z - 1 + 0 + 9. -3*z + 8 Collect the terms in -5*u**2 - 4*u**2 + 5*u**2 - 2 + 6*u**2. 2*u**2 - 2 Collect the terms in -1675*o - 88*o**2 + 1675*o. -88*o**2 Collect the terms in 32 + r - 91 + 31 + 32. r + 4 Collect the terms in u - 29*u - 6*u. -34*u Collect the terms in -2 + 2 + 28 - 2*y - 28. -2*y Collect the terms in -55*a**3 - 54*a**3 + 107*a**3. -2*a**3 Collect the terms in -14*u - 5*u - 5*u - 22*u. -46*u Collect the terms in 10*p**2 + 2*p**2 - 17*p**2 + 7*p**2. 2*p**2 Collect the terms in x**2 - 10*x - 14*x**2 + 10*x. -13*x**2 Collect the terms in 32*p**2 - 2*p**3 + 23*p**2 - 41*p**2 - 14*p**2. -2*p**3 Collect the terms in 12*o**2 - 8*o**2 - 7*o**2. -3*o**2 Collect the terms in 88*z**3 + 76*z**3 - 153*z**3. 11*z**3 Collect the terms in -152*p**3 + 308*p**3 - 157*p**3. -p**3 Collect the terms in 1785*u + 3 - 1791*u - 3. -6*u Collect the terms in -12 - 33*p**3 + 12. -33*p**3 Collect the terms in -13*p**2 + 12*p**2 - 8*p**2. -9*p**2 Collect the terms in 6*p**2 - 20*p**3 - 2*p**2 - 4*p**2. -20*p**3 Collect the terms in 535*d - 534*d - 5 + 17. d + 12 Collect the terms in -1077 + 1077 - 10*o**2 + 0*o**2. -10*o**2 Collect the terms in 19*o**2 + 0 + 0 - 22*o**2. -3*o**2 Collect the terms in 50*s + 48*s - 142*s + 45*s. s Collect the terms in -3*g**3 - 3*g**2 + g**2 + 4*g**3. g**3 - 2*g**2 Collect the terms in -43054*q + 43054*q - 5*q**3. -5*q**3 Collect the terms in 92*g + 13*g**2 + 18*g**2 - 92*g. 31*g**2 Collect the terms in -8*r**2 - 2*r**2 - r**2 + 9*r**2. -2*r**2 Collect the terms in -3*n + 3*n - 42*n**2. -42*n**2 Collect the terms in 44591 + 2*x - 44591. 2*x Collect the terms in -17*g**2 + 11*g**2 - 6*g**2. -12*g**2 Collect the terms in -1269*d + 418*d**2 + d**3 + 1269*d. d**3 + 418*d**2 Collect the terms in 4*k**2 - 199*k - 6 + 6. 4*k**2 - 199*k Collect the terms in -6 - 6 + 17 - 5 - 2*a**3. -2*a**3 Collect the terms in 21*q - 4*q**3 + 8*q - 43*q + 15*q. -4*q**3 + q Collect the terms in 1 - 2 + y**2 + 2*y**2. 3*y**2 - 1 Collect the terms in 0*n - 46*n + 45*n. -n Collect the terms in 133535 - 133535 + y**2. y**2 Collect the terms in 46 - 94 - 263*q**2 + 48. -263*q**2 Collect the terms in -19*n**2 + 13*n**2 - 23*n**2 - 12*n**2. -41*n**2 Collect the terms in -10*k**3 + k**3 + 6*k**3. -3*k**3 Collect the terms in d**3 + 297 - 297. d**3 Collect the terms in 2253*x - 6*x**3 - 2253*x. -6*x**3 Collect the terms in -4*m**2 + 12*m**2 - 9*m**2. -m**2 Collect the terms in -78*m**2 + 163*m**2 - 82*m**2. 3*m**2 Collect the terms in -11*d - 2*d + 16*d. 3*d Collect the terms in -13*s**2 + 4*s**2 + 50*s**2. 41*s**2 Collect the terms in -24 - 28 + 2*d + 52. 2*d Collect the terms in -2*d**3 - 3*d**3 + 4*d**3 - 7*d**3. -8*d**3 Collect the terms in 2*r**2 - 3*r**2 + 74 - 48. -r**2 + 26 Collect the terms in 4*o**2 + 10*o**2 + 0*o**2 - 2*o**2. 12*o**2 Collect the terms in -16*y + 46*y - 8*y - 16*y - 5*y. y Collect the terms in 0*z**2 + 13*z**2 - 5*z**2 - 5*z**2. 3*z**2 Collect the terms in -k + 174 - 174 + 7*k + 5*k. 11*k Collect the terms in 41*l**2 + 3*l - 7*l + 2*l. 41*l**2 - 2*l Collect the terms in 3*h + 6*h + 15*h - 4*h. 20*h Collect the terms in -3*k**2 + 0*k**2 + 7*k**2 - 7*k**2. -3*k**2 Collect the terms in -6*c + 17*c - 4*c - 2*c + c. 6*c Collect the terms in -7*y**2 - 3*y**2 + 15*y**2 - 43*y. 5*y**2 - 43*y Collect the terms in 32 - 10*k**3 + 29 - 61. -10*k**3 Collect the terms in 19 - 11 + 0*y - 8 + 20*y. 20*y Collect the terms in -5*o**2 - o**2 - 2*o**2. -8*o**2 Collect the terms in -3*h + 1489 - 1489. -3*h Collect the terms in -21*x + 93*x + 89*x + 0*x. 161*x Collect the terms in 4*c - 3*c - 4*c. -3*c Collect the terms in 16863*a**2 + 16860*a**2 - 33723*a**2 + 4*a**3. 4*a**3 Collect the terms in 40*r - 10*r - 15*r - 17*r. -2*r Collect the terms in -3*n - 7*n + 2*n + 6*n. -2*n Collect the terms in 2 + 10*k**3 - 5 + 4 + 13*k**3. 23*k**3 + 1 Collect the terms in -124*w**2 + 6*w**3 + 124*w**2 - 3*w**3. 3*w**3 Collect the terms in 2*j - 13*j**2 - 5*j + 3*j. -13*j**2 Collect the terms in 13*r**2 + 16*r**2 - 32*r**2. -3*r**2 Collect the terms in 13 + 42 + z**2 + 55. z**2 + 110 Collect the terms in -3 + 2 + 1 + 130*f**3. 130*f**3 Collect the terms in 176*h + 44*h + 322*h - 5*h. 537*h Collect the terms in 3*y - 5*y + 12*y + 4*y. 14*y Collect the terms in -624503*o + 624503*o - o**2. -o**2 Collect the terms in -25*l + 25006 - 25006. -25*l Collect the terms in 21471 + 0*q**2 - 21471 - 4*q**2 + 0*q**2. -4*q**2 Collect the terms in -88 + 46 + 43 - 26*c**3. -26*c**3 + 1 Collect the terms in 6*h + 3 - 16*h**2 + 55*h**2 - 6*h. 39*h**2 + 3 Collect the terms in 15*u - 94 + 3*u**2 + 94. 3*u**2 + 15*u Collect the terms in -9602*h**2 - 2 + 2 + 9604*h**2. 2*h**2 Collect the terms in 169*a**3 - 1 + 4*a**3 + 1. 173*a**3 Collect the terms in 11*r**3 - 5*r**3 + 9*r**3. 15*r**3 Collect the terms in -12*f + 54*f**3 + 12*f. 54*f**3 Collect the terms in -29*h + 167*h - 606 + 604. 138*h - 2 Collect the terms in 16 - 107*g + 109*g - 16. 2*g Collect the terms in 7*q + 16*q + 3*q + 2*q. 28*q Collect the terms in 667*k**2 + k**3 - 3 + 3 - 667*k**2. k**3 Collect the terms in -4*h**2 - 19*h**2 + 10*h**2. -13*h**2 Collect the terms in u**2 - 20477*u + 20477*u. u**2 Collect the terms in -17 + 0 + v - 9 - 19. v - 45 Collect the terms in 66 - 18*r**3 - 66. -18*r**3 Collect the terms in 13*n - 2*n - 3*n. 8*n Collect the terms in -439*l**3 + 879*l**3 - 437*l**3. 3*l**3 Collect the terms in -168*p**3 + 339*p**3 - 167*p**3. 4*p**3 Collect the terms in 15*z**3 + 12*z**3 + 3*z**3 - 2*z**3. 28*z**3 Collect the terms in -c - c + 9*c. 7*c Collect the terms in 1 - 8 - 45*n + 16 - 9. -45*n Collect the terms in 3 - 3 - 85*q**2. -85*q**2 Collect the terms in 5*x**3 - 5*x**3 + 3*x**3. 3*x**3 Collect the terms in 11657*l - 125*l**3 - 11657*l + 129*l**3. 4*l**3 Collect the terms in -1 + 144*a**3 + 1 - 172*a**3. -28*a**3 Collect the terms in -22*k + 3*k**2 + 10*k + 12*k. 3*k**2 Collect the terms in 7*r - 9*r - 13*r + 13*r. -2*r Collect the terms in -5*b**2 - 41*b**2 + 45*b**2. -b**2 Collect the terms in -1119*r - 4 + 4. -1119*r Collect the terms in 12*n**3 + 0*n**3 + 698 - 698. 12*n**3 Collect the terms in 5 - 2 - 3 + 166*w**3. 166*w**3 Collect the terms in 2*c**2 + 50*c**3 - 7*c**2 + 5*c**2. 50*c**3 Collect the terms in 88 + 4*n**2 - 23*n**2 - 45 - 43. -19*n**2 Collect the terms in -12278*q**2 + 12278*q**2 + 11*q**3. 11*q**3 Collect the terms in -83901*l**2 - l**3 + 83901*l**2. -l**3 Collect the terms in 7388 + 4*h**2 - 7388. 4*h**2 Collect the terms in -4270 - x**3 + 4270. -x**3 Collect the terms in 401*x - 31*x**3 + 34*x**3 - 401*x. 3*x**3 Collect the terms in 195 - 96 + 20*i**2 - 99. 20*i**2 Collect the terms in -7*d - 4*d + 4*d - 3*d. -10*d Collect the terms in 227*d - 44*d + 478*d. 661
{ "pile_set_name": "DM Mathematics" }
2*f**3) - f**3 - 3*f**3 + 3*f**3 to q + j*f + s*f**2 + n*f**3 and give n. -717 Express (-1 - 5 + 3 - b)*(-30 + 30 - 14*b)*(10*b + 6*b + 0*b)*(-1 + 1 - 2) in the form s*b**3 + p + d*b**2 + x*b and give d. -1344 Rearrange -16*m - 194*m**2 - 55*m - 153*m - 5*m + 189*m**2 to the form o + f*m**2 + a*m and give a. -229 Rearrange 345*z + 459*z + 254*z - 33*z + 619*z to b*z + s and give s. 0 Rearrange 37 - 84 + 43 - n to the form w*n + y and give y. -4 Express (38*c + 25*c - 8*c)*(-2*c**3 - 5*c**3 - 8*c**3 - c**3) in the form w*c**4 + b + k*c + p*c**2 + u*c**3 and give w. -880 Rearrange -2770 + 436*r + 2770 to the form d*r + h and give h. 0 Rearrange (-31*v - 19*v - 15*v)*(2*v**2 + 3*v - 3*v) to a*v**2 + d*v + y*v**3 + j and give y. -130 Express 3 - 6*a + 3*a + 6*a + (a + 3*a + 3*a)*(-4 + 4 - 3) as d + o*a and give o. -18 Express 177 + 7*v + 186 + 176 - 525 as t + z*v and give z. 7 Express 116*a**3 + 193*a**3 + 221*a**3 + (3*a**2 - 3*a**2 + 2*a**2)*(-5 + 2*a + 5) + 0*a**2 + 0*a**2 - 2*a**3 as t*a**3 + d*a**2 + s*a + q and give t. 532 Express 125*s**2 + 2 - 293*s**2 + 5*s - 5*s in the form l*s + j + q*s**2 and give j. 2 Express 5*v**2 - 3*v**2 - 4*v**2 + (-2*v + 2*v - v)*(0 - v + 0) + 433*v**2 - 16*v - 226*v**2 - 224*v**2 in the form h + z*v**2 + u*v and give u. -16 Express -21*y + 35*y**2 - 2*y + 2*y**3 + 25*y - 2 + 3*y**4 in the form w + d*y**4 + p*y + j*y**2 + o*y**3 and give p. 2 Express -28 + 14*o**3 + 28 - 5*o**3 + 0*o**3 + 2*o**3 + (-4 + o + 4)*(3 - 3 - o**2) + 3*o**3 + 0*o**3 - 2*o**3 as d*o + k*o**3 + c + z*o**2 and give d. 0 Rearrange 4693*v + 4688*v - 240 - 9378*v - 68 to the form j*v + b and give j. 3 Express -2*z**3 + 44 + 30*z**2 - 56*z**2 + 24*z**2 as g*z + s*z**2 + v*z**3 + u and give s. -2 Rearrange -66*k + 23*k - 1 + 3*k**2 + 28*k to y*k + f*k**2 + v and give f. 3 Rearrange (17 - 8*v - 17)*((0 + 3 - 1)*(-v + v + 2*v) + 14*v + v - v) to x*v + u*v**2 + b and give u. -144 Rearrange (160*f + 276*f - 23*f)*(2 - 2*f**2 - 2) to the form i*f**3 + j*f + b + d*f**2 and give i. -826 Rearrange 22 + r + 10 - 14*r**2 - 15 to t*r + y + k*r**2 and give k. -14 Rearrange -21 + 56*u**2 + 678*u**2 + 55 - 34 to k*u + y*u**2 + a and give y. 734 Rearrange (0 + 0 - 5 + (-3 + 2 + 0)*(0 + 0 - 2))*(43 - 228*d**4 + 230*d**4 + 56) to l + k*d**4 + n*d + m*d**2 + a*d**3 and give l. -297 Express (-98 + 48 + 306*r**2 + 49)*(-4*r**2 + 4*r**2 - r**2) as x*r**3 + q + z*r + w*r**2 + i*r**4 and give i. -306 Express -352*h**2 + 8 + 884*h**2 + 3 - 11 in the form i*h**2 + l + z*h and give i. 532 Rearrange -397 - 397 - 670*g + 794 to the form t + o*g and give o. -670 Express -54*l - 12 - 6 - 9 + 38 - 13 as x*l + r and give x. -54 Rearrange 18*g**3 + 2*g + 869 - g**2 - 869 + 0*g to the form f*g + s*g**3 + d*g**2 + w and give f. 2 Express -3*h**3 - 10 + 2*h**3 - 15*h**2 - 4 - 13 + 21 in the form b + n*h**3 + t*h + g*h**2 and give n. -1 Rearrange (-5 - 2 - 2)*((-7 - 12 + 17 + 82*p)*(2 + 2 - 5) - p + 2 - 2) to the form t + j*p and give j. 747 Rearrange -m**3 - 6*m + 2*m - 3*m - 406*m**2 + 420*m**2 to w*m + f*m**3 + k*m**2 + y and give w. -7 Rearrange -1 + f + 3*f + 3 + 9702*f**2 - 9710*f**2 to q*f**2 + w*f + y and give w. 4 Rearrange -2 - 3 - 21*n**3 + 49*n**3 + 29*n**3 + 13*n**3 to a*n + i + j*n**2 + r*n**3 and give i. -5 Rearrange 87 - 6*j**4 + j**2 - 15*j**3 + 2*j + j**4 - 88 + j**4 to the form p*j**3 + z + g*j**4 + t*j + i*j**2 and give i. 1 Express -132*p**2 - 115 - 50 - 3*p + 164 in the form v + x*p + w*p**2 and give w. -132 Express -244*a + 536*a + 841*a in the form w*a + q and give q. 0 Rearrange ((3 + 1 - 2)*(-2*n**3 + 2*n - 2*n) + 75327 - 75*n**3 - 75327)*(-3*n + 2 - 2) to m*n**2 + r*n + b*n**3 + y*n**4 + l and give y. 237 Express -3 + 4 - 23*l**3 + 17*l - 15*l - 2 as p*l + v + x*l**2 + m*l**3 and give v. -1 Rearrange -o + 145*o**4 - 3 - 154*o**4 + 5*o**2 + 2 + o**3 - 3*o**2 to the form m*o**4 + b*o + f*o**3 + h*o**2 + v and give m. -9 Express (2*k + 0*k + 0*k)*(-3 - 1 + 2) + k - 1 + 1 + k - k + k + 73*k - 13*k + 11*k + 2*k in the form i + l*k and give l. 71 Rearrange (11*l + 34*l**2 - 10*l + 3 - 37*l**2)*(-2*l + 4 - 4) to y*l**2 + d*l**3 + b + s*l and give y. -2 Rearrange -34 + f + 22 - 104*f**3 - f + 108*f**3 to the form q*f**3 + t*f + k + z*f**2 and give k. -12 Rearrange 70*d + 207*d + 396 - 201 - 195 to r*d + m and give m. 0 Express 14*f**2 - 41*f**2 + 14*f**2 - 25*f + 14*f**2 as a*f + x + q*f**2 and give q. 1 Express 105 + 67*a - 65*a + 4 in the form u + c*a and give c. 2 Rearrange 22 + 10 + c - 88 - 104 + 3 to x*c + v and give x. 1 Rearrange (-1 + 1 + 2)*(-2*w + 0 - 5 - 1) + (2*w + 3*w - 3*w)*(-4 + 10 + 1) to z + j*w and give j. 10 Express 2360*u**3 - u**2 - u - 15*u**4 - 2361*u**3 - 17*u**4 in the form b*u**2 + k*u**3 + h*u + z*u**4 + d and give z. -32 Rearrange 5641*x - 11276*x - 6 + 5637*x to the form j + a*x and give a. 2 Rearrange -3*g + 39215*g**2 - 13*g**3 - 39213*g**2 - 18*g**3 - 2 to the form r*g + b*g**3 + j + d*g**2 and give j. -2 Express (-77*s + 31*s - 11 + 38*s)*(3 + 1 - 5)*(4 - 4 - 1) as d*s + a and give d. -8 Rearrange -91*r**4 - 96*r**4 + r + r**3 + 2*r**2 + 1 - 2*r**2 + 193*r**4 to the form v*r**2 + w + q*r**4 + x*r**3 + l*r and give x. 1 Express (13*r + 4*r**2 - 1 - 15*r - 2*r**2)*(-5 + 0 + 1) as m*r**2 + o*r + y and give o. 8 Rearrange (5 + 0 - 3)*(-39615 - 264*y + 39615)*(0 + 1 - 3) to v*y + g and give v. 1056 Rearrange (2*f**3 - 9*f**2 + 9*f**2)*(-55 - 11 - 65 + 17) to the form l + v*f**3 + j*f + w*f**2 and give j. 0 Rearrange -1 + 67*b**3 - 15*b**4 + 19*b**4 - 69*b**3 - b + 0 to x*b**4 + l*b**2 + a + y*b + k*b**3 and give k. -2 Express (-3*n - 3*n + 4*n)*(508325*n - 508325*n + 525*n**2)*(n - n + n) as z*n**2 + y + u*n**4 + j*n + t*n**3 and give t. 0 Rearrange (-505 + 232 + 243)*(3*b**2 - 3*b**2 + 2*b**2) + (0*b**2 + 4*b**2 - 2*b**2)*(2 + 3 - 4) to o*b**2 + v + k*b and give o. -58 Rearrange 692*m**3 + 8 + 691*m**3 - 1386*m**3 to the form z*m**2 + g*m + c + n*m**3 and give n. -3 Rearrange -1059*w**4 + 2*w + 2130*w**4 - w + 3*w**2 - 2*w**3 - 1060*w**4 - 2 to z*w**4 + v + r*w**3 + g*w**2 + j*w and give r. -2 Rearrange z**3 - 5*z**3 + 9*z**2 - z**4 - 29*z**2 + 13*z**2 to the form a*z**4 + l + n*z**2 + i*z + g*z**3 and give n. -7 Rearrange 0*o**4 + o**4 + 0*o**4 + (-3 + 0 + 1)*(-18*o**4 - o**4 - 3*o**4) to the form m*o**4 + t*o + d*o**2 + l*o**3 + g and give m. 45 Rearrange (-106 + 92 - 496)*(-5 + 5 - 2*b) to l*b + i and give l. 1020 Rearrange -8*t**4 + 208*t**3 + 213*t**3 - 29 - t**2 + 0*t**2 - 423*t**3 to the form b + s*t**2 + z*t + m*t**4 + g*t**3 and give m. -8 Express (0*f**3 + 2*f**3 - 4*f**3)*(-4 + 3 - 1)*(599 + 358 - 119) in the form t*f**2 + z + v*f + r*f**3 and give r. 3352 Express (27 + 21 - 9 - 8)*(2*d**2 - 2408 + 2408) as f*d**2 + j + q*d and give f. 62 Rearrange (-3*q**4 + 2358*q + 84*q**3 - 2358*q)*(0 + 0 + 3) to a + h*q**4 + y*q**3 + d*q**2 + i*q and give a. 0 Express -r**2 + 17 + 51*r**4 - 52*r**4 + 23*r**2 in the form t*r + c*r**2 + f + x*r**4 + b*r**3 and give x. -1 Rearrange b + 2*b**2 + 2 - 21*b**3 + 20*b**3 + 1 + 3 to the form l + p*b + q*b**3 + o*b**2 and give p. 1 Express 1 - j**4 - j + 42*j - j**2 + 3*j in the form b*j**2 + c*j + p*j**4 + q + w*j**3 and give p. -1 Express -68*a - 72*a + 63*a**4 + 2 - a**2 + 142*a in the form q*a + x*a**2 + n + z*a**3 + v*a**4 and give q. 2 Rearrange 14*j**3 + j**2 - 4*j**2 + 2*j**3 - 7 + 7 - j to the form g*j**3 + n + r*j**2 + s*j and give r. -3 Rearrange 4 - 2 + 1 - 3*l + 3 + 5 to g*l + k and give g. -3 Rearrange -711*q**4 + 4416*q**2 - 4416*q**2 + (0*q**3 - q**3 - q**3)*(-4*q + 2*q + 4*q) to the form m*q**3 + y*q**4 + a*q**2 + k + n*q and give y. -715 Rearrange 99*g**2 - 62*g**2 - 35*g**2 - 655 to the form h*g + w*g**2 + a and give w. 2 Rearrange -17*h**3 - 3 + 3 - 14*h + 19*h**3 + 5*h - 2 to q*h**3 + j*h**2 + t + d*h and give q. 2 Express -2*q**3 + 12*q + 4*q + 28*q**3 - 9*q**3 as p + f*q**3 + s*q + w*q**2 and give f. 17 Rearrange (-2*a + 0*a + 0*a)*(-4*a + 3*a - a) + (-12*a + 12*a + 22*a)*(-4*a - 8*a + 8*a) to the form n + r*a**2 + y*a and give r. -84 Rearrange u - 63 + 0*u - 247 - 246 to the form l*u + f and give f. -556 Express 184*b - 3042 + 3042 in the form l*b + n and give l. 184 Rearrange 4 + 3 - 3 - 4 - 1820*y to the form r*y + m and give r. -1820 Express (-185*t + 233*t +
{ "pile_set_name": "DM Mathematics" }
i. List the prime factors of 6/(-3) - (0 + (-904)/i). 2, 7 Let q(i) = 30*i + 9. Let t(z) = 5*z + 38. Let u be t(-7). What are the prime factors of q(u)? 3, 11 Let w(f) be the third derivative of f**6/120 + 11*f**5/60 - 2*f**4/3 - 8*f**3/3 + 19*f**2. Let b = -12 - 0. What are the prime factors of w(b)? 2 Let s be (3/(-6))/((-1)/(-2)). Let n(h) = -22*h - 222. Let m be n(-10). What are the prime factors of s - (m + 5*-12)? 61 Let k(d) be the first derivative of d**3/3 + 2*d**2 + 3*d - 7. Let s be k(-5). Suppose -s*m - 58 = -10*m. List the prime factors of m. 29 Suppose 16 = 4*g, 0 = h - 3*h - 2*g + 16. Let f(t) = 4*t - 14. Let j(o) = o - 1. Let n(s) = -f(s) + 5*j(s). What are the prime factors of n(h)? 13 List the prime factors of (-122)/3*10*(-45)/75. 2, 61 Let n = -31 + 36. Suppose 0*q + 4*y + 324 = 2*q, -2*q = n*y - 369. What are the prime factors of q? 2, 43 Let l = 460 - -789. List the prime factors of l. 1249 Suppose 5*z - 3*z - 764 = 0. Let i = z + -265. What are the prime factors of i? 3, 13 Suppose 0 = k + 5*i - 495, 0 = k - 2*i - 3*i - 495. List the prime factors of k. 3, 5, 11 Let v = 6 + -11. Let k = 2 + v. Let l(y) = y**2 + y - 4. What are the prime factors of l(k)? 2 Let d(w) = 4*w**2 + 3*w + 9. Let z be d(-4). Suppose z = -4*a + 265. What are the prime factors of a? 3, 17 Let t(p) = -p + 2. Let q be t(4). Let j be 1/(-2) - 455/q. Suppose -20 = 3*g - j. List the prime factors of g. 3, 23 Let p = -49 - -85. Suppose -178 = -2*h - p. List the prime factors of h. 71 Let l(k) = k**3 + 2*k**2 - 3*k - 2. Let m be l(-3). Let z be (m + 1)/((-2)/14). What are the prime factors of (0 - -1)/(z/315)? 3, 5 Suppose 123 - 131 = -2*o. Suppose 5*w + z - 1330 = -0*z, -815 = -3*w - o*z. List the prime factors of w. 5, 53 What are the prime factors of 4*6/3*4220/16? 2, 5, 211 Suppose 234*y - 8127 = 225*y. List the prime factors of y. 3, 7, 43 Let r(j) = -65*j - 3. Let n be r(-4). Suppose -2*o - 41 = -n. What are the prime factors of o? 2, 3 Let n(a) = 29*a - 44. Let x(f) = -15*f + 22. Let c(h) = 4*n(h) + 9*x(h). Let m be c(-6). Suppose 83 = 3*d - m. List the prime factors of d. 73 What are the prime factors of (-214)/1177 + 1/(-11)*-1223? 3, 37 Suppose -4*l + 6*r - r - 105 = 0, -4*l - 5*r - 135 = 0. List the prime factors of 7/(((-3)/l)/1). 2, 5, 7 Let o be 1646/(-12) + (-16)/(-96). Let d = -83 - o. What are the prime factors of d? 2, 3 Let m(r) = r**3 - 12*r**2 - 27*r - 26. List the prime factors of m(16). 2, 283 Let j be 3*1/(2 - 1). Let z(k) = 3*k - 2. Let v be z(2). Suppose -d = -g + v*d + 29, -12 = j*d. List the prime factors of g. 3 Let b = 83 + -17. Let w = 110 - b. List the prime factors of w. 2, 11 Suppose 6*g - 3291 + 183 = 0. Suppose 4*c - g = 3*p, 0 = -3*c - 0*p - p + 382. List the prime factors of c. 2 Let o(g) = -875*g - 374. List the prime factors of o(-3). 2251 Let w(n) = -3*n + 15. Let q be w(8). What are the prime factors of q/36 + (-466)/(-8)? 2, 29 Let l(y) = -y**3 + 4*y - 3. Let v be l(-3). Suppose -3*m + m + v = 0. List the prime factors of ((3 - -1) + m)*2. 2, 5 Let n(c) = -5*c**3 + c**2 + c + 2. Let t be n(3). Let a = -111 + t. What are the prime factors of -2 - (-9)/((-36)/a)? 2, 7 Let z = 425 + 321. What are the prime factors of z? 2, 373 Let s = 333 + 60. List the prime factors of s. 3, 131 Suppose -2*b = 2*b - 20. Suppose 7*t + 4 = b*t. What are the prime factors of t*(-3)/(-2) - -14? 11 Let q(z) = -10 + 8*z - 13 + 2*z + 4. List the prime factors of q(18). 7, 23 Suppose -2*h = h - s + 835, 0 = -4*h - 3*s - 1135. List the prime factors of 5/2*h/(-10). 2, 5, 7 Let b(y) = 2 + 0 - 3 + 2 + 2*y. Let u be b(-2). List the prime factors of (-2 - -24) + 1 + u. 2, 5 Let d = 49 + -46. List the prime factors of ((-10)/d - 0)/((-20)/330). 5, 11 List the prime factors of (-2534)/(-10) + (60/(-25) - -2). 11, 23 Let q = -126 - -210. Suppose -2*f = 10, -3*u - f + q = -4*f. List the prime factors of u. 23 Suppose -4*i + 7*i - 24 = 0. Let l = i - 8. Suppose -3*n + n + 30 = l. What are the prime factors of n? 3, 5 Suppose 2*n = -2*r - 14, 3*n - 49 = 5*r - 6. List the prime factors of (r/6)/(19/(-342)). 2, 3 Suppose -2*j = -3*o + o + 2720, -3*o = -4*j - 4082. Suppose -5*t + o = 9*t. What are the prime factors of t? 97 Suppose -4*p = -5*z + 2008, 2*z - 915 = p - 110. What are the prime factors of z? 2, 101 Let q be 4/10 + (-299)/(-65). Suppose -3*d + 2*w = -4, 0 = -4*d + q*w - 3 + 6. List the prime factors of d*2 + (-102)/(-6). 3, 7 Let n(b) = 10*b - 1 + 9*b**2 - 29*b**3 + 4 + 30*b**3. What are the prime factors of n(-6)? 3, 17 Suppose -3*j - 4*t = -6285, 76*t - 71*t = 2*j - 4190. List the prime factors of j. 5, 419 Let h(a) = -36*a - 1. Let q(i) = 37*i + 1. Let g(t) = -t**3 - 7*t**2 - 4*t + 6. Let b be g(-6). Let d(v) = b*q(v) - 5*h(v). What are the prime factors of d(-1)? 41 Let b = -9 + 3. Let v(i) = 7*i + 21. Let y(w) = -10*w - 31. Let g(q) = -7*v(q) - 5*y(q). List the prime factors of g(b). 2 Suppose 142*i - 2944 = 140*i. List the prime factors of i. 2, 23 Let h = 102 - -42. Suppose w = -w + h. List the prime factors of w. 2, 3 Suppose -7*m = -4*m. Suppose -f + 0*z + 72 = 5*z, m = 4*z + 8. List the prime factors of f. 2, 41 Let c(y) = -y**2 + 17*y + 20. Let n be c(23). Let m = n + 274. What are the prime factors of m? 2, 3, 13 Let u = 354 - 362. Let d(o) = -o**3 + 10*o**2 + 8*o + 3*o - 1 + 2*o**3. What are the prime factors of d(u)? 3, 13 Let t = 6 + -3. Suppose i - 35 = -4*i. Suppose 0 = t*s - 5 - i. List the prime factors of s. 2 Suppose 5*o - 183 = -x, -4*x - o + 507 = -x. Let i = x + -68. List the prime factors of i. 2, 5 Let y = 301 - 215. Let i = y + -50. What are the prime factors of i? 2, 3 Suppose 0*p = 5*c + p - 969, 0 = -p - 1. Suppose -5*j = g - c, 2*g - 137 - 303 = 3*j. What are the prime factors of g? 2, 107 Let y(t) = t**2 - 5*t + 9. Suppose -5*z + 15 - 1 = -4*i, 10 = -z + 4*i. What are the prime factors of y(z)? 3, 5 Suppose 3*t - q - 94 = 38, 0 = q + 3. Let r = -8 + t. Suppose 0 = -2*a + 6*a - 5*p - r, 0 = -a + 3*p + 7. What are the prime factors of a? 2, 5 Let h = 84 + -89. Let i(g) = 3*g - 2. Let k(a) = -3*a + 3. Let d(r) = 2*i(r) + 3*k(r). List the prime factors of d(h). 2, 5 Let f = 33 - 78. Let q = f + 65. List the prime factors of q. 2, 5 Suppose -8 = -2*w + 3*f, -w - 4*w + 2*f + 20 = 0. Suppose -y = 2*x - 7*x - 68, 347 = w*y + 5*x. List the prime factors of y. 83 Suppose 590899 = 89*l + 219057. What are the prime factors of l? 2, 2089 Let p(m) = m**3 - 5*m**2 + 16*m - 9. What are the prime factors of p(15)? 3, 827 Let h(t) = -t**3 - 24*t**2 - 31*t + 53. Let z be h(-23). Let j = z - 158. What are the prime factors of j? 79 Let w = -19 + 33. Let r = 48 + w. What are the prime factors of r? 2, 31 Let g = 29 - 27. Let f be -2 - (-2 + -30)/g. Suppose v = -d + 11, 2*d + f = -v + 3*v. What are the prime factors of v? 3 Suppose -4805 = -12*t + 3247. What are the prime factors of t? 11, 61 What are the prime factors of (-8)/14 - 94050/(-315)? 2, 149 Let w(q) = -1031*q - 17. List the prime factors of w(-1). 2, 3, 13 Let x(o) = 10*o**2 - 19*o + 160. List the prime factors of x(9). 17, 47 Let g = 1146 - 730. Suppose 3*t = -14 + g. What are the prime factors of t? 2, 67 What are the prime factors of 2*(-5 - 369/(-18))? 31 What are the prime factors of (756/(-10))/(120/(-8100))? 3, 7 Let b(x) = -x**3 - 9*x**2 - 7*x + 9. Let d be b(-8). What are the prime factors of (-528)/(-15) + d/(-5)? 5, 7 Let p = -10 - -15. Suppose -p*f = -4*f - 63. List the prime factors of f. 3, 7 Suppose 57*f + 40 = 59*f. List the prime factors of f. 2, 5 Suppose 4*y = -g + 298, 2*y - 4*y + 590 = 2*g. List the prime factors of g. 2, 3, 7 Suppose -5*n - 32 = -2. Let t(y) = y**3 + 6*y**2 - y - 4. Let f be t(n). Suppose -4*d = -0*a - f*a + 84, -4*d = a - 18. List the prime factors of a. 2, 17 Suppose -3*k + 312 = -354. Let a = 143 - k. Let d = -49 - a. List the prime factors of d. 2, 3, 5 Suppose d = 6*d + 5*p - 35, -d + 22 = 4*p. Suppose 0 = -3*r - 0*g - g + 603, 0 = -3*r - d*g + 600. List the prime factors of r. 2, 101 Let f(x) = -x**3 - 3*x**2 + x + 2. Let y be f(-3). Let h(s) = -16*s - 3. Let v(r) = 16*r + 4. Let k(o) = 3*h(o) + 2*v(o). What are the prime factors of k(y)? 3, 5 Let w = -17 - -131. Let h = w + -69. What are the prime factors of h? 3, 5 Let
{ "pile_set_name": "DM Mathematics" }
b) 0 (c) 0.5 (d) o (e) 1/5 c Let s = -5.925 + 3.925. Which is the biggest value? (a) -1/6 (b) s (c) -55 a Let z = 10479 + -12979. What is the second biggest value in 0, 3, z? 0 Let t = -1427.1 + 1425.1. Which is the second biggest value? (a) 1/3 (b) t (c) -1/54 (d) -4 c Suppose q - 16 = 811*f - 813*f, -f + 2*q - 32 = 0. Let w(i) = -62*i**3 + 2*i**2 - i. Let o be w(1). Which is the biggest value? (a) f (b) 1 (c) o b Let g = -2.9 - -7.9. Let x = 1/69 - 71/138. Which is the smallest value? (a) -3 (b) 15 (c) g (d) x a Let o = 4115 - 4117. Which is the biggest value? (a) o (b) 0 (c) 84 c Let v = 0.9 - -0.1. Let q = 34.992762 - -0.007238. Which is the second smallest value? (a) 3 (b) v (c) q (d) 1/5 b Let t = 7043 - 4936. Let f be t/(-84) + ((-26)/(-24))/13. What is the smallest value in -2/11, 1/3, f? f Let t = -368/1737 + -2/193. Let r = -0.067 - 2.633. Let n = -0.3 + r. What is the third smallest value in t, n, -0.5? t Let v = -882 + 112. Let h be (-2)/(-14)*v/(-330). Which is the biggest value? (a) 0.1 (b) h (c) -1/3 (d) -14 b Let r = -0.9858 + -32.0142. Which is the second smallest value? (a) 3 (b) 1/29 (c) r (d) -2 (e) -1 d Let w = -320.1 - -67.1. Which is the third biggest value? (a) -3 (b) -0.5 (c) w c Let g = 50552/11 + -4596. What is the second biggest value in 0.2, -5, 0.7, g? 0.2 Let t = -2.27 - -1.87. Let z = 240 - 239.6. Suppose -2*q = 3*w - 4, -3*q - w = 2*q + 16. Which is the third biggest value? (a) z (b) t (c) -1/8 (d) q b Let o = -0.6 + 0.9. Let c = 2076.98 - 2077. Let r = 95/2 + -47. What is the biggest value in c, o, r? r Let x = -29253 - -29255. Which is the third smallest value? (a) -123 (b) x (c) -0.2 b Let f(x) = x**3 + 8*x**2 + 9*x - 7. Let w be f(-6). Suppose -j + w*j + 70 = 0. Let l = 0.336 + 0.164. Which is the third biggest value? (a) l (b) -0.3 (c) j c Let h = 7991.2 + -7993. What is the second biggest value in 2, -1/250, h? -1/250 Let o be (56/144*6/(-28))/(26/104). What is the fourth biggest value in -4, o, 3/5, 4/5, -5/6? -5/6 Let j = -4432.14 - -4432. Let v = -0.6 + 1.74. Let f = j + v. Which is the biggest value? (a) f (b) -5 (c) -1 a Let l = -198 - -160. Let n = 75 - 112. Let x = n - l. Which is the biggest value? (a) 3 (b) x (c) -2 a Let n = 6185 + -228855/37. Which is the fourth biggest value? (a) 1 (b) 2/11 (c) n (d) -4 d Let z be 2 + 4 + -5 + 2. Let h be 8/(-20) + (-5376)/135. Let l = 40 + h. Which is the second smallest value? (a) l (b) z (c) 0 c Let m = -2.3 - -2. Let d = -256/5 + 1029/20. What is the biggest value in 5, m, -2/7, d? 5 Let x = 2.12154 - 2.05154. Let a be 192/14 + (-4)/(-14). What is the smallest value in -0.3, 0.1, a, x? -0.3 Let o = 47 + -27. Suppose 0*h - o = 5*h. Let b = 4148 - 4145. What is the second smallest value in b, h, -2? -2 Suppose 0 = 2*w + 9 - 1, 3*g - 3*w = -21. Let m = g - -6. Which is the biggest value? (a) m (b) 1 (c) 0.5 (d) 2 d Let t = -183 + 185. Let z be (t/(-4))/(6/(-492)). Which is the biggest value? (a) z (b) -0.3 (c) 3 a Let t = -0.1 - -0.2. Let w = 17529 + -17529.1. What is the smallest value in t, 1/2, -3, w? -3 Let u = -2263 + 2266. Which is the biggest value? (a) u (b) 0.3 (c) -31 a Let y = 1172 + -1757. Let m = -585.05 - y. What is the fourth smallest value in -2, -1/3, m, -4? m Suppose -47 - 17 = -2*h. Suppose 0 = 5*k + 2*l + 91, -k + l - 6*l = h. What is the third smallest value in k, -2, 3? 3 Let x = 430.03 + -429.83. Which is the biggest value? (a) 1 (b) x (c) 0 (d) -4000 a Let n = -399/52 - -90/13. Let w be ((-9)/7 - 64702/(-52360))/(8/20). What is the biggest value in 1/5, n, w, 1? 1 Suppose 0 = 4*i + 4*y + 4, 3 = -0*i + i + 3*y. Suppose -9381 - 2391 = 9*x. Let k = 1313 + x. What is the second smallest value in i, k, 3, 1/6? 1/6 Let f = -242.89 - -123.89. What is the biggest value in 3/8, 5, f? 5 Let j(s) = -152*s**3 + 22 + 5*s + 6*s + 6*s**2 + 2 + 151*s**3. Let p be j(10). Let v = p + 1866/7. Which is the biggest value? (a) v (b) -5 (c) 2/9 a Let u = -62 - -62.2. Let k = 950173/205 + -4635. Which is the smallest value? (a) u (b) 0.5 (c) k (d) -3 d Let n = 1734 - 1747. Let r = 11.25 + -0.25. Let d = r + n. What is the third biggest value in 0.4, -7/6, d? d Let m = -54.5 - -55. Let a = -42 + 38. Let s be (a/42)/((-8)/3 - -3). What is the fourth smallest value in m, 0.7, 5, s? 5 Let s be (-18)/10 - 18/90. Let i be s/4 - 56/336. What is the second smallest value in 4, i, 3? 3 Let t be (-20)/(-50) + (-1714)/10. Let v = t + 853/5. What is the second biggest value in v, -3, 2/3, -1.8? v Let y(u) = -38*u + 2241. Let w be y(59). What is the second biggest value in 710, w, -2? w Let j = -249.7 + 250. Let r = -1159/2184 - -20/39. Let n = r - 137/168. Which is the biggest value? (a) j (b) -5 (c) 3/7 (d) n c Let z = -0.09 + 0.29. Let l = 2088 - 2086. What is the fourth smallest value in z, -0.3, 1, l? l Let u = -0.8548 - -0.8948. Which is the second biggest value? (a) -2 (b) -42 (c) u (d) -4/3 d Let o = 9.6 + -17.85. Let g = 8 + o. Let m = g - -1.25. What is the fourth biggest value in -4, m, -2/7, -15? -15 Let q = 35.3036 - -2.6964. Which is the third biggest value? (a) 2/3 (b) q (c) -8 c Let x = -3.719 + 5.719. What is the biggest value in x, 5, 84? 84 Let n be (149 + -151)/((-14)/2). Which is the second biggest value? (a) n (b) 1346 (c) 0 a Suppose -3*l = -3*g + 12, 0 = 29*g - 25*g + 4*l + 8. Which is the fourth smallest value? (a) 3 (b) -4 (c) g (d) -2.69 a Let f = 25 - 24. Let a = 2 + -1.6. Let u = 384 + -389. What is the third smallest value in 1/34, u, f, a? a Let g = 2.01 + -0.01. Let k(s) = -15*s + 121. Let o be k(11). Let w be 5*(-4)/16*o/110. What is the third smallest value in g, -0.37, w? g Let j = 31 + -31.007. Let p = j + 0.307. What is the biggest value in 1, 5, p? 5 Let x be (-4)/10 + 0 + (-32)/(-180). Let v = -91.4 + 89.4. Which is the fourth smallest value? (a) v (b) 0.1 (c) 77 (d) x c Let w = 0.0069 + 1.9931. Let t = -6 - -4. Let q = t + w. What is the third biggest value in -0.8, q, -3? -3 Let h = -0.51 - 4.19. Let j = h - -1.2. Let r = -68 + 1022/15. Which is the third smallest value? (a) -5 (b) r (c) j b Let c = 1471/5820 + -4/1455. What is the smallest value in 20, -0.1, -1/8, c? -1/8 Let x = 39 - 77/2. Let o = 3072 + -3068. Which is the third biggest value? (a) x (b) o (c) -3/4 c Let p = 409 + -405. Let x = -0.1 - -2.1. Which is the biggest value? (a) -2/3 (b) -0.27 (c) p (d) x c Let x = 5124 - 5123.8. What is the third biggest value in x, -2/3, -10/227? -2/3 Let s = -576.3 + 575.9. Which is the third smallest value? (a) 2 (b) 140 (c) 0.1 (d) -2 (e) s c Let n = 2011 + -90499/45. Let x = n + -152/315. Let t be (-14)/8 - (-1 - 1). What is the second biggest value in x, -4, t? x Let l be 561/(-143) - 10/130. Which is the second smallest value? (a) 32 (b) l (c) -0.04 (d) 3 c Let x = -694 + 695. Let t = 1.08 + -1. Let g = -5.08 + t. Which is the third smallest value? (a) 1/7 (b) g (c) x c Let n = -1955 - -1959. Let i = 0 + 0. Which is the third smallest value? (a) n (b) i (c) -38.6 a Let g = -45452/5 + 9091. Which is the second biggest value? (a) -0.1 (b) 7/32 (c) g b Let j = 10141 + -10143. Which is the biggest value? (a) 5 (b) j (c) -0.2 (d) -2/5 (e) -1/4 a Suppose -4*d = -8 - 0. Let y(h) = h + 17. Let p(g) = -g - 25. Let l(x) = -5*p(x) - 8*y(x). Let m be l(-2). What is the fourth smallest value in d, 1, m, 0? d Let q = 2.2 - 2. Let s = 1.5 + q. Let y = -2 + s. What is the second smallest value in y, 2, 12/13? 12/13 Let k = -78335 + 78336. Let z = 12 - 25. Let a = z + 9. What is the fourth biggest value in k, a, -0.4, -4/13? a Let p = 2.1 - 2.13. Let u = -356 + 359. What is the fourth biggest value in -3, p, u, -0.2? -3 Suppose -400 = 519*o + 424 + 214. Which is the third biggest value? (a) -2/179 (b) 1/4 (c) o c Let n = -241.4 + 241. Let r be (-5)/1 - (6 - 7). Let o = -515/4 + 128. Which is the second biggest value? (a) r (b) n (c) o c Let f = 9869 - 9862. Suppose 0 = -2*n + 3*n. Which is the second smallest value? (a) f (b) -3/5 (c) n c Suppose -7 = 5*r + 5*z + 3, -14 = 3*r - z. Let l be 5/(-10) - r/2. Which is the second smallest value? (a) 1/5 (b) 4 (c) l c Let p = 971 - 974. Which is the sec
{ "pile_set_name": "DM Mathematics" }
k + b*k**3 + a*k**2 and give l. 2 Express 5*m + 0*m**3 + 2*m**2 - 4*m + 2*m**4 + 0*m + 2*m**3 as j*m**3 + o*m + r + y*m**4 + w*m**2 and give y. 2 Rearrange -3 + 5 - 7*h + 2*h**3 - 2 - 2 to c*h + x*h**3 + j + y*h**2 and give j. -2 Express (6 - 3 - 1)*(-2 - 1 + 2)*(-2*s + 0*s + 4*s) in the form m*s + i and give m. -4 Express (0 - 1 + 3)*(-l - 3*l + 2*l) - 9 + 9 - 4*l + (-2*l + 5 - 5)*(-2 + 1 + 0) in the form x + c*l and give c. -6 Express (-79 + 79 + 123*t)*(-6*t**2 + 5*t**2 + 3*t**2) as q*t + u*t**3 + g + h*t**2 and give u. 246 Express 3*v - v + 2*v + (2 + 1 + 0)*(-3*v - v + 2*v) as f*v + m and give f. -2 Rearrange 0*t - 8*t**3 + 1 + 3*t + 4*t**2 - 3*t**2 - 5*t to g + p*t**2 + m*t**3 + s*t and give p. 1 Express 9*t**4 + 10*t**4 - 3 + 3*t**3 - 21*t**4 - 2*t**2 - t as a*t**4 + p*t**3 + v*t**2 + w + m*t and give a. -2 Rearrange 3 - 4*z**2 - 3*z**2 + z**2 to the form u + o*z**2 + y*z and give u. 3 Rearrange 4 + a**3 - 2 + a**2 + 7 to i + x*a**2 + l*a**3 + u*a and give l. 1 Express 12*u + 10*u + 9*u - 5*u in the form l*u + o and give o. 0 Rearrange -34*w + 78*w + 97*w - 33*w to the form u + m*w and give m. 108 Express -d**3 + 12*d + 1 + 77*d + 6*d as f*d**3 + v*d**2 + r*d + b and give r. 95 Express 3 + k - 3 + (-1 + 3 + 0)*(0*k + k - 2*k) + (3 - 1 - 1)*(-5*k + 2*k - 3*k) as h*k + r and give h. -7 Rearrange -4*d**2 - 6*d**2 + 2*d**2 - d**2 to q + p*d**2 + y*d and give p. -9 Express -5*x - 76*x**3 + 38*x**3 + 4 + 35*x**3 as l*x**2 + b*x + q*x**3 + z and give q. -3 Rearrange (-219 + 130 + 140)*(0 - 3*p + 0) to the form t*p + s and give t. -153 Rearrange 51*s**3 - 4*s**2 - 3 + 4 - 50*s**3 + 2*s**4 to r*s**4 + l*s**2 + j*s + x + w*s**3 and give x. 1 Rearrange -4*h + 1 - 1 + (h - h - h)*(3 + 0 - 4) + 3*h - 3*h - 2*h to i*h + d and give i. -5 Express -1693*w**2 + 811*w**2 + 844*w**2 as h*w**2 + i*w + q and give h. -38 Express 42*f**2 - 111*f**2 + 49*f**2 as j*f**2 + t*f + b and give j. -20 Express -c**2 - 11*c**2 - 10*c**2 as u + b*c + x*c**2 and give x. -22 Rearrange 472*n - 475*n + 4*n**3 + 11*n**2 - 5*n**2 to j*n**3 + m*n + v + q*n**2 and give q. 6 Rearrange (3 - 3 - 2)*(1 - 1 + 2*c)*(3*c**2 + 0*c**2 - 7*c**2) to the form a*c**3 + h + y*c + w*c**2 and give a. 16 Express 5*g**2 + 20*g**2 + 4*g**2 - 6*g**2 in the form s*g**2 + o*g + t and give s. 23 Express s**2 + s**4 + 2*s**4 + 2*s - 2*s**4 + 10*s**4 in the form p*s + b*s**2 + q*s**3 + j + g*s**4 and give b. 1 Express 2*u**4 - 3*u**2 - 5*u + 3*u - 19*u + 2*u**2 as b*u + q*u**2 + j*u**3 + f*u**4 + v and give f. 2 Rearrange (-2*p**2 - 15*p**2 + 4*p**2)*((1 - 3 + 0)*(0 + p**2 + 0) + (p - 2*p - p)*(2*p - p + 0*p)) to s*p**4 + h*p**2 + z*p + y*p**3 + n and give s. 52 Express 2*m**3 + m**4 - 24*m**2 + 25*m**2 + 3*m - 4*m**4 as o + g*m**3 + b*m + x*m**2 + j*m**4 and give g. 2 Express s**2 - 32*s**3 - s**2 + 3*s**3 - s**2 in the form t*s + x*s**2 + w*s**3 + n and give t. 0 Rearrange 2*t**2 + 0*t**2 + 6 + 2 to the form x + d*t**2 + w*t and give x. 8 Rearrange 0 - 2 + 3*u - 1 - 6*u + 2*u**4 to d + s*u**4 + t*u + k*u**3 + n*u**2 and give d. -3 Express 4*z**4 - 6*z**4 - z**2 - 2*z + 5*z as l*z**4 + m*z + i*z**2 + d*z**3 + g and give m. 3 Rearrange (-2*i + 7*i - 3*i)*(-4 + i + 6 + 2)*(4*i - i - 2*i) to the form k*i**3 + q*i + p + o*i**2 and give o. 8 Express (3*s**2 - 4*s**2 + 3*s**2)*(5*s**2 - 4*s**2 - 2*s**2) - 1 + 1 + 8*s**4 in the form u*s**2 + w*s + g + r*s**3 + i*s**4 and give i. 6 Express q**4 - 27*q**2 - 2*q**3 - q**4 - 1 - q**4 + 26*q**2 as i*q**2 + r + a*q**3 + z*q**4 + s*q and give z. -1 Rearrange 2*u + 27*u - 12*u to the form x + v*u and give v. 17 Rearrange (2 + 1 - 4)*(n - 3*n + n) + (-3*n - n + n)*(4 - 5 + 2) + (-4 - 3 + 5)*(2*n + n - 4*n) + 5*n - n - 2*n to the form l + m*n and give m. 2 Express -44*v**2 + 25*v**2 - 2*v + v**3 - 4 + 21*v**2 + v as u*v + n*v**2 + z*v**3 + p and give n. 2 Rearrange 2*t**4 + 2*t**3 + 2*t**2 - 166 + 83 + 84 + 14*t to the form r*t + o*t**4 + b*t**2 + c*t**3 + k and give c. 2 Rearrange -r**3 + 7*r - 8*r**2 - r**2 + 9*r**2 - 2 to q*r**3 + m*r + z + a*r**2 and give q. -1 Rearrange -2*w**2 - 3*w**2 + 2*w**2 to i + q*w + c*w**2 and give c. -3 Rearrange x**2 + 0*x - x - 2*x + x to the form p + t*x + g*x**2 and give t. -2 Rearrange (2 - 2 + 2*f**2)*(33 - 13 - 11) - 3*f**2 - 3 + 2*f**2 + 2 - f to the form g*f + d + y*f**2 and give y. 17 Express (0*v**2 - v**2 + 0*v**2)*(2*v - 2*v - 2*v**2) + 132 - 132 - 12*v**4 as f + i*v**2 + p*v + s*v**4 + w*v**3 and give s. -10 Rearrange (-r + 3*r - 3*r)*(-4*r + 6*r + 0*r) to the form o*r**2 + m + f*r and give o. -2 Rearrange (-5*n**3 - 6*n**3 + 3*n**3)*(0 - 2 - 1)*(-4 + 3 + 2) to the form z*n**3 + m*n**2 + f + w*n and give z. 24 Express (-3*i**2 + 6*i**2 - 16*i**2)*(2*i - 2*i - i**2) + 4*i**4 - 6*i**4 + 3*i**4 as n*i + u*i**3 + j*i**2 + s*i**4 + t and give t. 0 Rearrange (-2 + 2 + 1)*(0 + 0 + 5)*(-2 + 3 + 12)*(-3 - 2 + 6)*(2*r - r - 3*r) to g + b*r and give b. -130 Rearrange -142*f + 142*f + 2*f**2 - 4 to the form q*f**2 + o*f + z and give q. 2 Express -4 + 3 - 11*u - 15*u - 3 in the form o*u + f and give f. -4 Express -9*k - k**3 + 2 + 0 - 4*k + 12*k - 5*k**4 in the form j*k**4 + w*k + i*k**2 + z + u*k**3 and give j. -5 Rearrange 21 - 9 + 74*d**2 - 78*d**2 to the form y*d + u*d**2 + g and give u. -4 Rearrange (1 + 1 + 3)*(-3*t + 5*t + 4*t) to the form m*t + k and give m. 30 Rearrange -1 - 243*s - s**2 + 255*s + 1 to the form p + m*s**2 + v*s and give m. -1 Rearrange q + 3*q - 6*q - 4*q to t + n*q and give n. -6 Rearrange 59 - 116 + 3*v + 15*v**2 + 57 to the form t*v**2 + g + i*v and give t. 15 Rearrange (3*c**2 + 0*c**2 - 6*c**2)*(-18*c + 1 + 11*c - 3) to the form n*c + m*c**2 + h + x*c**3 and give h. 0 Rearrange 8*v**2 - 41 + 39 + 22*v**2 to the form i*v + n + w*v**2 and give i. 0 Rearrange (1 - 5 + 3)*(-5*d**4 + 3*d**4 + 3*d**4 + (-9*d - 9*d + 23*d)*(3*d**2 - 3*d**3 - 3*d**2)) to p*d**4 + q*d**2 + c + b*d**3 + m*d and give q. 0 Rearrange -5*r**2 - 18*r**2 + 6*r**2 + (3 + 2 - 7)*(3*r - 3*r - 2*r**2) + r**2 - 4 + 4 + 0*r**2 - r**2 - r**2 to z*r + k*r**2 + x and give k. -14 Express -2*g**2 + g**2 + 7*g**2 + (-4*g**2 + g**2 + 5*g**2)*(-2 + 1 - 1) as l + w*g + b*g**2 and give b. 2 Express -2*m - 2*m**3 + 2*m + (-3*m - m**2 + 3*m)*(-5 + 5 + 2*m) - 2*m**3 + 0*m**2 + 0*m**2 + 3*m + 3*m**3 - 3*m as l + b*m**3 + r*m**2 + h*m and give b. -3 Express (1 - 1 - 12)*(7*g + 0*g + 4*g) in the form k*g + b and give k. -132 Express w**4 + 0*w**4 + 6 - 2*w - 2*w**4 + (2*w + 2*w**2 - 2*w)*(w**2 + 3*w**2 - 2*w**2) as h*w**2 + r*w**4 + v*w + p + k*w**3 and give r. 3 Rearrange 20*l**2 + 27*l - 13*l - 14*l to the form h*l + v*l**2 + w and give v. 20 Express -9*v**3 - 1 + 0*v**2 + 0*v**3 + v**2 + 5*v**3 in the form g + u*v**2 + z*v**3 + n*v and give g. -1 Rearrange 1 + w - 2*w**4 + w - 4*w - 3*w to c*w**4 + t + f*w + r*w**3 + p*w**2 and give t. 1 Express 2*p**3 - 10*p + 3*p**2 + 11*p - 3*p**2 + 1 in the form i*p + b + l*p**3 + w*p**2 and give i. 1 Rearrange -4*n - 14*n + 3*n - 5*n to y*n + g and give y. -20 Express -6*n + 5*n**2 + n**2 + n**4 + 4*n + 2*n**3 in the form t*n**4 + c*n + u*n**2 + q*n**3 + x and give c. -2 Express (-2 - 2 + 25)*((2 + 2*r**2 - 2)*(2*r + 1 - 1) + (-4*r**2 - 2*r**2 + 5*r**2)*(-r - 2*r + 5*r)) as x*r**2 + n + v*r**3 + g*r and give v. 42 Express (2*l - 2*l + 2*l**3)*(15 + 5 - 5) + (2 + 0 - 1)*(0*l**3 + 2*l**3 - 4*l**3) in the form x + b*l**2 + m*l**3 + q*l and give m. 28 Express -2 + 13 + 56*l - 11 in the form t*l + r and give t. 56 Express g**3 - 2*g**3 + 1 - 12*g**4 + 14*g**4 in the form n*g**3 + k*g**4 + o + v*g**2 + t*g and give k. 2 Rearrange -5*o + 4*o - 2*o - 3*o + 6*o - 2*o - 3*o + o + 0*o + 4*o + 0*o - 3*o + (-2 - 2 + 2)*(-o + o + o) + 5 - 5 + 6*o to f + x*o and give x. 1 Express 3*k**2 - 5*k**2 + k**2 + (-1 + 1 - 4*k)*(2*k + k - 2*k) + k**2 + k**2 - 3*k**2 in the form c + p*k + s*k**2 and give s. -6 Rearrange 4 - 43*o - 35*o + 102*o - 34*o to the form d + l*o and give l. -10 Express 61 - 61 - 9*j as m + x*j and give x. -9 Express (-2*k + 0*k + k)*(1 - 1 + 2) + 4*k - 4*k - 2*k + 4*k - 7*k - 10*k + (k - 2*k + 0*k)*(3 - 1 + 2) as o + v*k and give v. -21 Express (t + 2*t - 5*t)*(-7 - 2*t + 3*t + 4) as i*t + d*t**2 + f and give i. 6 Express -26*s**3 + 2*s - 1 + 28*s**3 + s**2 - 6 in the form r + p*s**2 + q*s + j*s**3 and give j. 2 R
{ "pile_set_name": "DM Mathematics" }
4*r - 575. Is k(64) a multiple of 116? False Suppose 0 = -22*h + 19*h + 9. Suppose 5*v - 3*g - 26 - 737 = 0, -4*v = -h*g - 608. Is 4 a factor of v? False Suppose 3224*w - 3227*w = -3, -4*z = -5*w - 57563. Is 7 a factor of z? True Suppose -3*d + 6347 = c - 1215, 2*c - 4*d = 15054. Is c a multiple of 7? False Let o = -42 - -80. Suppose -39*n + 5 = -o*n. Suppose -3*s = l - 127, -n*l - s + 622 = s. Is 45 a factor of l? False Let x(a) = a**3 - 15*a**2 - 101*a + 25. Let h be x(20). Suppose q = -h*r + r + 357, -4*q = -4. Is 14 a factor of r? False Let y be 525 + ((-1)/2)/(9/36). Let l = y - 331. Does 32 divide l? True Let m = 15584 - 15380. Does 51 divide m? True Suppose -1659*v + 1663*v - 5040 = 0. Is v a multiple of 36? True Let h(m) = -m + 1. Let b be h(-17). Suppose -3*d - b = -5*d. Suppose -d = -10*o + 51. Is o a multiple of 2? True Let x = 151 + 2357. Does 11 divide x? True Let i(b) = -284*b + 687. Is i(-12) a multiple of 35? True Let s(g) = 2*g + 6*g + g**3 - 35 - 22*g**2 + 12*g - 5*g + 10*g**2. Does 9 divide s(14)? True Let a = 399 - 179. Is 80 a factor of (-8 + a/15)/(3/216)? True Suppose 5*z - 4*d - 6176 = 0, z + 4*d + 0*d = 1216. Let m = z + -536. Is 12 a factor of m? True Suppose 0 = -63*n + 61*n - 5*j + 31406, 4*n = -3*j + 62784. Is n a multiple of 25? False Let x = 1252 + 2983. Does 2 divide x? False Suppose b - 3*i = 5*b + 4, 2*b + 5*i = -2. Does 17 divide b + (-632)/(-3) - (-198)/(-297)? False Let y = 29015 - 11975. Does 120 divide y? True Let q(z) = 3 - 1 - 6 + 9 - 2*z + 23. Let t be -2 - 2/(2/(-13)). Is 2 a factor of q(t)? True Let l = 51 + -562. Let c = l - -793. Is c a multiple of 6? True Let u(h) be the first derivative of h**3/3 - 3*h**2/2 - 20*h + 27. Let g be ((-15)/(-2))/((-6)/8). Does 22 divide u(g)? True Let u(d) = d**2 - 2*d - 486. Let v(l) = -3*l**2 + 3*l + 974. Let s(r) = -5*u(r) - 2*v(r). Does 27 divide s(0)? False Let g(h) = 32*h + 12*h - 23*h + 4 + 33*h. Suppose 0 = -3*a + 12 - 0. Does 22 divide g(a)? True Suppose 0*m + 5*m - 80 = -5*y, -60 = -3*m + y. Let l(j) = -j**2 + 17*j + 40. Let b be l(m). Suppose -4*n - 12 = 0, b*f - 486 = 3*n - n. Is f a multiple of 12? True Suppose -1 = 2*y - 3*y. Let w be (-2104)/(-4) - (-3 + 2)*y. Suppose 2*n - 7*n - w = -3*p, 572 = 3*p + 4*n. Does 46 divide p? True Let a = -14090 - -31343. Is 27 a factor of a? True Let m(p) = -p**3 + 9*p**2 + 39*p - 8. Let a = -63 + 73. Is 13 a factor of m(a)? False Suppose -2*n - 12*c + 8*c + 78 = 0, -2*c + 156 = 4*n. Suppose n*v = 30*v + 1611. Is v a multiple of 15? False Suppose 664 = 125*o - 121*o - 2*u, -5*o + 2*u = -828. Does 3 divide o? False Suppose 117 - 567 = -5*d. Let g = 51 + -47. Let o = d + g. Does 31 divide o? False Let k = -92 + 95. Suppose -k*u = -37 + 7. Suppose u*r - 626 = 514. Is 38 a factor of r? True Suppose -j = 2*f - 513, -j - 17*f + 498 = -12*f. Does 8 divide j? False Suppose 14*y = 41*y - 17*y - 81340. Does 49 divide y? True Does 58 divide (2 + 485)/(4/(-3)*63/(-252))? False Suppose -3*q - 230 = -74. Let u = q + -37. Is 0/(-2) + -6 + (1 - u) a multiple of 12? True Suppose 7448 = 22*r - 8*r. Suppose -2*v - r = -7*h + 5*h, -4*h = -2*v - 1064. Does 14 divide h? True Let t(v) = -180*v**2 - 5*v - 5. Let i be t(-1). Let w = i + 387. Is w a multiple of 9? True Suppose 11*k - 177 = -177. Let a = -6 - -11. Suppose k = -4*t + 6*o - o + 885, -3*t = -a*o - 665. Is 55 a factor of t? True Let q = 10479 - 125. Does 35 divide q? False Let o(u) = 28*u - 25. Let a be o(6). Suppose 172 = 5*r + 692. Let k = a + r. Does 13 divide k? True Suppose -417 = -4*t + 5*z - 47, 98 = t - 4*z. Let o = t - 61. Suppose -o = -f + 24. Does 29 divide f? False Suppose -27*j + 0*j + 0*j = -128925. Is 25 a factor of j? True Suppose -q = -3*l + 10, -5*l + 8*l = 3*q + 12. Suppose 3*g - 759 = -l*w + 5*g, -3*w - 5*g + 780 = 0. Does 17 divide w? True Let g(m) be the first derivative of -23*m**2 + 151*m + 69. Is g(-18) a multiple of 16? False Suppose -53946 = -35*g + 8*g. Let t = g + -1228. Is 35 a factor of t? True Let o be ((-1)/(0 + 1))/(24/(-840)). Let h = o + -33. Suppose -h*y - 2*y - 5*j = -90, -3*j = -2*y + 34. Is 4 a factor of y? True Suppose 5*z + 2*g = 2*z - 8, -4*g - 4 = 0. Is 15 a factor of 7/14*-8*778/z? False Suppose -53*w - 38*w + 189007 + 629629 = 0. Does 52 divide w? True Suppose -16*t = -50*t + 102. Suppose 4*a - 5*m = 4033, t*a + m + 394 = 3395. Is a a multiple of 8? False Let b(o) be the first derivative of -o**2/2 + 4*o - 20. Let x be b(2). Suppose 2*c = -2*s + s + 88, 5*c + x*s = 222. Is c a multiple of 9? False Let u = -33 - -50. Let z = -2295 - -2292. Is u - (1/3 + 10/z) a multiple of 10? True Let j be (14/35)/((-4)/125)*-6. Suppose -a - j = -101. Is 13 a factor of a? True Let y(m) = -25*m - 165. Let n be y(-25). Let j = n + -274. Is j a multiple of 62? True Let n(q) = 1291*q**2 - 915*q - 10. Is 301 a factor of n(-5)? False Suppose 0*x - 2*x + 3*s + 11 = 0, -x + 3*s = -1. Suppose 0 = x*u - 15*u + 4*m + 2028, -2*m + 6 = 0. Does 24 divide u? True Let l(y) be the first derivative of y**3/3 - 3*y**2/2 - 18*y - 25. Let w be l(-4). Is (-76)/w*(-5)/2 a multiple of 8? False Suppose 3*m = -0*m - 5*x + 2265, -4*m = 5*x - 3025. Let q = m - 512. Is 8 a factor of q? True Suppose 0 = -4*t + 18*t + 4*t - 11412. Is 4 a factor of t? False Let u = -216 + 219. Is ((-332)/(-20) + u)*5 a multiple of 14? True Let a(d) = -19*d + 74. Let n be a(4). Does 17 divide n/((-12)/(-6)) - -358? True Suppose 8*i = v - 28461, v + 5*i - 11325 = 17045. Is v a multiple of 13? True Let f be (-2 - 0)/((-1)/(-154)). Suppose 13*s + h + 527 = 10*s, 2*s - 2*h + 354 = 0. Let t = s - f. Does 33 divide t? True Suppose 6*c + c = 4291. Let v = -277 + c. Suppose -5*w + v = -w. Is 10 a factor of w? False Let m = -16366 - -17809. Is 23 a factor of m? False Suppose -3*u = -4*r + 15714, 2*u = -3*r + 7967 + 3810. Does 6 divide r? False Let f(n) be the third derivative of 2*n**5 + n**4/24 + n**3/6 - 5*n**2. Let s = -572 + 571. Is f(s) a multiple of 30? True Suppose -55*s + 59*s = 16, -5*x = -4*s - 12549. Is 13 a factor of x? False Suppose 0 = 2*g, 2*v - 4*v = -4*g + 82. Let t = -133 + 218. Let d = v + t. Is 44 a factor of d? True Suppose 3*s - 5*h - 34311 = 63159, 32550 = s + 5*h. Is 15 a factor of s? True Let l(i) = 20*i - 100. Let u be l(5). Suppose 21*b + 11648 - 31178 = u. Is b a multiple of 15? True Suppose -292*y = -287*y - 5450. Suppose 16*m - 878 = y. Is m a multiple of 17? False Suppose -5*h + 168*n = 170*n - 80316, 4*n + 80358 = 5*h. Does 29 divide h? True Let z = -289 - -294. Suppose -1067 = -z*a + 1693. Does 46 divide a? True Suppose 4*b - 17 + 9 = 0. Let y be ((-4)/(-5))/(b/(-15)). Does 20 divide 6/((-60)/235)*y? False Suppose -5*k - 2*g - 577 = 0, -k + 0*k + 5*g = 110. Let p = -24 - k. Let m = -3 + p. Does 14 divide m? False Let m(k) = 5*k + 30. Let q = -123 - -123. Let i be ((-45)/(-10) - 4)*q/1. Is m(i) a multiple of 6? True Let w(o) = -o**2 - o + 160. Suppose n = 3*f - n + 4, -21 = -3*f - 3*n. Suppose -f = -4*h - 2. Is 16 a factor of w(h)? True Suppose 36 = -3*l + 5*w, 4*l - w + 18 = -13. Is 13 a factor of -5 + l/(7/(-135))? True Let r(z) = z**3 + 4*z**2 - 15*z + 16. Does 123 divide r(9)? False Does 31 divide (-1)/(8 - 2) - (-2 - (-1271824)/(-96))? False Suppose -103*r + a = -102*r - 36651, 146685 = 4*r + 5*a. Does 14 divide r? False Let p(f) = -f**2 + 26*f - 46. Let j be p(24). Suppose -2*q - j*q - g = -2348, 5*q - 2936 = -g. Is q a multiple of 42? True Is 37 a factor of (-9591)/(-184)*-2*296/(-6)? True Suppose 4*j - 24546 = 49414. Does 43 divide j? True Let d(m) = 20638*m**2 - 134*m - 132. Is d(-1) a multiple of 16? True Suppose 867 = 3*q - 0*q. Let g = -172 + q. Is g a multiple of 13? True Let m(d) = 0*d - d + 2*d - 18 + d. Let k be m(9). Suppose k = -4*i - 0*i + 952. Is i a multiple of 30? False Let w = -101 - -106. Suppose -7*z + 735 = -3*z + w*p, 3*p = z - 171. Is z a multiple of 12? True Suppose 11*f - 5*r - 51 = 8*f, -3*r = 2*f - 53. Is 2 a factor of -70*(f/4 - 6)? False Let w(t) = 553*t**2 + 385*t + 2655. Is 119 a factor of w(-7)? False Let f = 125 + -123. Suppose -1038 = -f*s - 290. Is s a multiple of 22? True Let k be ((-22)/(-33))/((-1)/(-1275)) + -4. Suppose 6*b - k = 414. Is 10 a factor of b? True Suppose -3*d = 4 - 19, 3*y + 2*d + 146 = 0. Is 19 a factor of 26/y + (-288
{ "pile_set_name": "DM Mathematics" }
- 140*k + 302. Let h(b) = 4*b**2 - 38*b + 76. What is -22*h(c) + 6*n(c)? -4*c**2 - 4*c + 140 Let c(t) = 467*t + 4. Let x(n) = 7*n - 1. Calculate -2*c(p) - 10*x(p). -1004*p + 2 Let f(q) = 14*q + 8. Let b = 326 + -318. Let v(u) = 9*u + 5. Let y(z) = -z**2 - 10*z + 39. Let i be y(-12). Suppose 5*p + i = 2*p. Calculate b*v(s) + p*f(s). 2*s Let h(n) = 42*n - 1. Let i(y) = -2*y**2 - 168*y - 1883. Determine -4*h(r) - i(r). 2*r**2 + 1887 Let h(k) = 2071*k + 24. Let a(l) = -163608*l - 1904. Determine 3*a(c) + 238*h(c). 2074*c Let w(t) = -4*t**3 + 4*t**2 + t + 1. Let p(z) = z**3 + 12*z**2 + 6*z - 49. Determine -p(a) + 3*w(a). -13*a**3 - 3*a + 52 Let p(w) = -1. Let u(c) = 16 - 14003*c**3 - 41 + 13998*c**3. Determine -25*p(x) + u(x). -5*x**3 Let d(g) = 3*g**3 - 4*g**2 - 123*g + 10. Let y be d(7). Let l(x) = 9*x**2 + 9*x. Let z(u) = u. Give y*z(p) + 2*l(p). 18*p**2 Let q(i) = 154*i - 380. Let a(j) = 155*j - 504. Calculate -3*a(v) + 4*q(v). 151*v - 8 Let r be (12/(-36))/((-2)/(-6)). Let f(o) = 8*o**2 - 6. Let l(t) = 9. Let n(v) = 2. Let j(g) = -l(g) + 4*n(g). Determine r*f(p) + 4*j(p). -8*p**2 + 2 Let z(r) = -r - 63. Let w(f) = f - 7. Determine -2*w(j) + z(j). -3*j - 49 Let h(o) = 132 - 3*o - 220 + 2*o + 88. Let z(x) = -40*x. Determine -6*h(y) + z(y). -34*y Let j(c) = -15*c**2 + 2*c - 1. Let i(y) = -6483*y**2 + 9*y - 5. Give -i(x) + 5*j(x). 6408*x**2 + x Let b = 27 + -41. Let y(p) = 5*p + 1. Let j(r) = 70054 + 34*r - 10*r - 70050. What is b*y(s) + 3*j(s)? 2*s - 2 Let w(n) = -44*n. Let h(m) = -45*m. Suppose 397*j - 1667 = 77*j + 573. Give j*w(b) - 6*h(b). -38*b Let g(p) = -87*p + 81. Let q(f) = 188*f - 164. Calculate 13*g(w) + 6*q(w). -3*w + 69 Let v be ((-42)/6 + 5)*5/4*-2. Let f(t) = 2*t**2. Let m(o) = o**3 - 3*o**2. What is v*f(z) + 4*m(z)? 4*z**3 - 2*z**2 Let y(a) = -a**3 + 24*a**2 + 8*a - 10. Let v(d) = -d**3 + 24*d**2 + 7*d - 9. What is 6*v(o) - 5*y(o)? -o**3 + 24*o**2 + 2*o - 4 Let m(o) = -10*o**2 - 35*o + 38. Let y(i) = 8*i**2 + 31*i - 36. Determine -5*m(l) - 6*y(l). 2*l**2 - 11*l + 26 Let z(y) = -38 + y + 12*y - 2*y - 10*y + 39. Let u(v) = 4*v + 6. What is u(g) - 6*z(g)? -2*g Let t(s) = -12*s - 1. Let h be -6 + 110/(26 - 15). Let z(y) = -11*y - 1. Give h*z(r) - 3*t(r). -8*r - 1 Let a(h) be the first derivative of -2*h**2 + 11*h + 1. Let f(o) = -o + 1. Let g(d) = -19*d + 272. Let k be g(57). Let z = 806 + k. Determine z*f(p) + a(p). p + 6 Let c(w) = w**2 + w + 1. Let v(m) = -18*m**2 - m - 1. Let i(g) = g**2 - 32*g - 587. Let t be i(45). Calculate t*c(q) - 2*v(q). 34*q**2 Let w(j) = -8*j**2 + 29*j + 27. Let z(t) = t**2 - 6*t - 2. Give -w(a) - 6*z(a). 2*a**2 + 7*a - 15 Let s(d) = d - 12. Let n(j) = -j - 1. Let a = 22364 - 22365. Calculate a*s(u) + 4*n(u). -5*u + 8 Let u(m) = -9*m + 2. Let j(c) = 219395*c - 47868. Determine j(b) + 23934*u(b). 3989*b Let x(p) = 11*p + 29. Let u(f) be the first derivative of 7*f**2/2 + 19*f - 1361. What is 8*u(g) - 5*x(g)? g + 7 Let g(a) = -a - 1. Let c be g(5). Let k(y) be the third derivative of 1/24*y**4 + 0 + 2/3*y**3 + 0*y + 6*y**2. Let x(w) = -w - 5. What is c*k(s) - 5*x(s)? -s + 1 Let x(w) = w**3 - w**2 + w - 1. Let q(n) = -4*n**3 + 2*n**2 - 13*n + 2. Let l be (25/(-100))/((-18)/(-8) - 2). What is l*q(y) - 2*x(y)? 2*y**3 + 11*y Let x(l) = -9*l**3 + 5*l**2 - 4*l + 5. Suppose 329 = 6*s + 299. Let f(d) = -14*d**3 + 8*d**2 - 6*d + 8. Determine s*f(z) - 8*x(z). 2*z**3 + 2*z Let b(f) = 5*f**3 - 15*f**2 - 2*f - 2. Let o(y) = -6*y**3 + 15*y**2 + 2*y + 2. Suppose -t + 18 = -2*v, -19*v = -2*t - 14*v + 43. Determine t*o(g) + 5*b(g). g**3 - 15*g**2 - 2*g - 2 Let o(k) = k**2 - 1471*k. Let p(g) = 11*g. What is 2*o(q) - 6*p(q)? 2*q**2 - 3008*q Let w = 27 - 16. Let v(b) = 5*b**2 + 10*b + 6. Suppose 74*u - 91 = 57. Let p(z) = -z**2 - 2*z - 1. Determine u*v(f) + w*p(f). -f**2 - 2*f + 1 Suppose 0 = -3*d + 5*y - 1, 3*y = 4*d + 860 - 866. Let u(x) = x + 1. Let o(m) = 2*m**2 - m + 2. Give d*u(l) - o(l). -2*l**2 + 4*l + 1 Let b(d) = 8*d**2 - 2*d - 1. Let u = 5357 - 5349. Let o(a) = -12*a**2 + 3*a + 1. Determine u*b(r) + 5*o(r). 4*r**2 - r - 3 Let o(b) = 202*b**2 + 8*b + 8. Let d(x) = 203*x**2 + 11*x + 8. Give -3*d(m) + 4*o(m). 199*m**2 - m + 8 Let v(n) = 7*n**2 + 2*n. Let t(s) = 15*s**2 + 15*s + 150. Let o(x) = x + 15. Let u(q) = -10*o(q) + t(q). Give 6*u(h) - 15*v(h). -15*h**2 Let r(j) = -2095*j**2 + 7*j + 55. Let n(g) = -1048*g**2 + 4*g + 30. Give -11*n(t) + 6*r(t). -1042*t**2 - 2*t Let x(h) = 262*h**3 + 7*h**2 - 17*h - 7. Let w(a) = 131*a**3 + 4*a**2 - 9*a - 4. Give 7*w(g) - 4*x(g). -131*g**3 + 5*g Let j = 263 - 259. Let g(i) = 2*i**2 - 9*i**2 + 11*i**2 - j*i. Let r(x) = -x. What is -g(b) + 4*r(b)? -4*b**2 Let q = 2 + 1. Let p(v) be the first derivative of 2*v**3/3 - v + 141. Let a(c) = 2*c**2 - 1. What is q*a(m) - 2*p(m)? 2*m**2 - 1 Let b(i) = i**3 - 3. Let m(g) = -3*g**3 + 8. Let y = 11 + -8. Let j(q) = 24*q - 20*q - q**2 - 7 + 7. Let z be j(y). Give z*m(p) + 8*b(p). -p**3 Let b(c) = -126*c**2 + 11*c - 57. Let f(q) = -43*q**2 + 4*q - 19. Calculate 3*b(z) - 8*f(z). -34*z**2 + z - 19 Let u = -19385 + 19391. Let h(a) = 6*a**3 - 5*a**2 + 5*a. Let c(l) = 7*l**3 - 6*l**2 + 6*l - 1. Calculate u*h(d) - 5*c(d). d**3 + 5 Let w(o) = 2*o**2 + 9*o + 1. Suppose -2*h = -16*b + 12*b + 8, -2*b + 3*h = 8. Let n(x) = -2*x + x + 5*x + x**2 + 0*x. Give b*n(v) - 2*w(v). v**2 + 2*v - 2 Let w(t) = 1 + 10*t + 16*t + 14*t - 52*t + 8*t. Let p(v) = 11*v - 3. Determine 3*p(o) + 8*w(o). o - 1 Let i(w) = -w. Let r(f) = 15*f - 12. Let l be r(6). Let q = 92 - l. Let d be (q/4)/((-18)/(-108)). Let b(g) = 8*g. What is d*i(o) + 3*b(o)? 3*o Let q(p) = 4*p - 450. Let k(t) = -6*t + 920. Calculate 3*k(o) + 7*q(o). 10*o - 390 Let d(g) = 44*g - 35. Let t(p) = -21*p + 17. What is -2*d(j) - 5*t(j)? 17*j - 15 Let w(u) = 49*u**2 + 524*u - 8. Let j(v) = -35*v**2 - 525*v + 6. Determine -4*j(x) - 3*w(x). -7*x**2 + 528*x Let h = -705 + 703. Suppose 5*g = -17 - 18. Let v(u) = 1 + 1 + 3 - 4*u**2. Let k(q) = q**2 - 2. Calculate g*k(w) + h*v(w). w**2 + 4 Let j(r) = -12*r**2 - 3*r + 3. Let g(c) = 71*c**2 + 17*c - 17. Suppose -o - 10 = -8*m + 4*m, 0 = 4*o - 2*m + 124. Determine o*j(w) - 6*g(w). -18*w**2 Let n(h) be the first derivative of h**4/2 - 5*h**2/2 - 6*h + 115. Let b = 54 - 51. Let q(d) = d**3 - 3*d - 3. Calculate b*n(x) - 5*q(x). x**3 - 3 Let x(z) be the third derivative of -z**4/24 + z**3/6 + 993*z**2. Let l(q) = q**2 + 5. Let o be l(0). Let t(d) = 4*d - 2*d + 0*d - 2. Give o*x(u) + 3*t(u). u - 1 Let u(d) = 2 + 11*d**3 + 0*d**2 - d**2 + 13*d + d**2. Suppose -25 = 17*p - 76. Let q(y) = -5*y**3 - 6*y - 1. Determine p*u(z) + 7*q(z). -2*z**3 - 3*z - 1 Let p(h) be the third derivative of -h**4/24 + h**3/6 - 13*h**2. Let m(f) = 1. Let o be ((9/(-18))/(-1))/((-3)/6). Calculate o*p(v) - 2*m(v). v - 3 Suppose -251*u = -109*u - 100*u - 126. Let q(x) = -10*x - 4. Let f(a) = -20*a - 7. Give u*f(l) - 5*q(l). -10*l - 1 Let x(d) = -13*d - 7. Let o = 19853 - 19847. Let q(k) = -14*k - 6. Give o*q(p) - 5*x(p). -19*p - 1 Let k(p) = -4*p**2 + 4*p - 3. Let h(w) = -42896*w + 9*w**2 - 42898*w + 85785*w + 7. Calculate 3*h(b) + 7*k(b). -b**2 + b Let d(f) = -14*f**3 - 5*f**2 - 5*f - 5. Let j = -144 + 232. Suppose j = 3*v + 8*v. Let u(c) = 21*c**3 + 8*c**2 + 8*c + 8. Determine v*d(i) + 5*u(i). -7*i**3 Let i(n) = 219*n - 275. Let r(j) = 2*j - 47. Give -i(q) + 6*r(q). -207*q - 7 Let d(f) = 17*f - 19. Let k(q) = -43*q - 1. Let o be k(-1). Let g = o - 39. Let y(l) = 6 - 3*l - 3*l - 2*l + g. Give 6*d(j) + 13*y(j). -2*j + 3 Let l(u) = -124766559*u**2 - 3*u + 124766558*u**2 - 2 - 2*u. Let x(i) = 2*i**2 + 11*i + 5. Give -9*l(v) - 4*x(v). v**2 + v - 2 Let n(u) = 3*u**2 - u + 2. Let r be 3114/865*10/(-4). Let b(v) = -v**2 - 1. What is r*b(j) - 4*n(j)? -3*j**2 + 4*j + 1 Let y(v) = -2*v**3 - v**2 - v + 1. Let j(b) be the second derivative of b**5/10 + b**4/12 + b**3/6 - b**2/2 + 542*b - 2. Calculate -2*j(g) - 3*y(g). 2*g**3 + g**2 + g - 1 Let i(n) = -255*n**3 + 13*n**2 + 6*n. Let z(p) = -256*p**3 + 18*p**2 + 8*p. Calculate 4*i(b) - 3*z(b). -252*b**3 - 2*b**2 Let q(a) = -a + 2. Let t(x) = 3*x - 5. Let p be (-3 - -9) + 1 + -4. Suppose -p*r + 27 = -6*r. Let s = 89 - 93. Give r*q(w) + s*t(w). -3*w + 2 Let r be (-4)/22 + 11172/(-2926). Let v(g) = -g. Let x(t) = -5*t + 14. Calculate r*v(w) + x(w). -w + 14 Let l(n) =
{ "pile_set_name": "DM Mathematics" }
8*t(z). What is the first derivative of r(p) wrt p? 20*p**3 + 5 Differentiate -36*h - 6*h**2 + 25 + 35 - 16 with respect to h. -12*h - 36 Suppose 3*f = -4 - 2, 16 = 2*c + 2*f. Find the second derivative of -3*t**2 - 17 + 7 + 10*t + c wrt t. -6 What is the second derivative of 78*y**4 + 4 + 9 - 21 + 9 - 24*y wrt y? 936*y**2 Let a(j) be the second derivative of j**5/20 - 61*j**3/3 - 319*j**2 + 2*j - 218. What is the first derivative of a(f) wrt f? 3*f**2 - 122 Let x(m) be the second derivative of 19*m**6/15 + m**5/20 - 367*m**4/6 + 628*m. What is the third derivative of x(k) wrt k? 912*k + 6 Let l(q) be the third derivative of -17*q**7/210 + q**6/10 - 362*q**3/3 + 535*q**2. Differentiate l(i) with respect to i. -68*i**3 + 36*i**2 Suppose 0 = -4*i + 15 + 25. Let u(r) = -6 + r + i - 9*r**3 - 4. Let s(l) = -4*l**3 + l. Let z(v) = 7*s(v) - 3*u(v). What is the second derivative of z(k) wrt k? -6*k Let v = -41 - -44. What is the third derivative of 17*c**2 - 78*c**3 + 78*c**v - 28*c**6 + 0*c**2 wrt c? -3360*c**3 Let v(p) be the second derivative of 0 + 0*p**2 + 0*p**6 + 0*p**7 - 23*p + 0*p**5 + 5/2*p**4 + 3/56*p**8 + 0*p**3. Find the third derivative of v(f) wrt f. 360*f**3 Let t(i) be the third derivative of -i**7/35 + i**6/30 + 139*i**4/24 + i**3/3 - 2*i**2 - 299. Find the second derivative of t(l) wrt l. -72*l**2 + 24*l Let c(d) be the second derivative of -d**6/30 - d**5/5 + d**3/6 + 21*d**2 + 272*d. What is the second derivative of c(a) wrt a? -12*a**2 - 24*a Differentiate 22*i - 2*i + 6*i + 14*i - 155 wrt i. 40 Let k(p) = -p**2 - 8*p + 12. Let c be k(-9). Let n be ((-9)/(-6))/3*0. Differentiate 0 - 5 - 6*q**3 + n + 3*q**c with respect to q. -9*q**2 What is the third derivative of -1846*s + 29*s**2 + 925*s - 135*s**5 + 923*s wrt s? -8100*s**2 Let n(c) be the second derivative of 131*c**7/42 + c**6/30 - 3*c**4/4 + 9*c**2/2 - 164*c. Find the third derivative of n(l) wrt l. 7860*l**2 + 24*l Let n(k) be the third derivative of -57*k**5/20 - 25*k**4/24 - k**3/2 - 161*k**2. Find the second derivative of n(j) wrt j. -342 Let r(k) = -8*k**4 + 3*k**3 - 3*k + 11. Let o(y) = 15*y**4 - 5*y**3 + 5*y - 21. Let j(d) = -6*o(d) - 10*r(d). What is the first derivative of j(w) wrt w? -40*w**3 Let b(n) be the third derivative of 0*n + 7/30*n**5 + 0 + 3*n**2 + 0*n**4 + 5/3*n**3. What is the derivative of b(j) wrt j? 28*j Let o(s) be the third derivative of -89*s**9/504 + 2*s**5/15 - 5*s**4/12 - 59*s**2 - s. What is the third derivative of o(i) wrt i? -10680*i**3 Let n(a) be the first derivative of 29*a**5/5 + 16*a**3 - 29. Find the third derivative of n(v) wrt v. 696*v What is the third derivative of -45*x**2 + 4*x - 8*x + 0*x + x**4 - 44*x**5 wrt x? -2640*x**2 + 24*x Let g(v) be the third derivative of -8*v**7/105 - v**4/8 - 71*v**3/3 + 2*v**2 + 17*v. What is the derivative of g(y) wrt y? -64*y**3 - 3 Let x(f) = 783*f**2 - 6*f + 85. Let u(c) = -784*c**2 + 5*c - 78. Let d(p) = -4*u(p) - 3*x(p). Find the second derivative of d(v) wrt v. 1574 Let h be (-338)/(-6) + 13/(-39). Differentiate -118*z**2 - 23*z**4 + 62*z**2 - 25 + h*z**2 with respect to z. -92*z**3 Let i(c) be the first derivative of 0*c**2 + 0*c - 2/3*c**6 + 0*c**5 + 11/3*c**3 + 0*c**4 + 17. Find the third derivative of i(r) wrt r. -240*r**2 Let z(f) be the third derivative of -2*f**2 + 0*f**3 + 9/20*f**5 + 0*f + 11/12*f**4 + 0. What is the second derivative of z(k) wrt k? 54 Let u(r) be the third derivative of -2*r**4 - 11*r**3/2 + r**2 - 11*r. Let g(k) = -49*k - 34. Let q(p) = -2*g(p) + 3*u(p). Differentiate q(c) with respect to c. -46 Let j be (4 - 5)/(1/(-5)). Find the third derivative of -229*d**j - 15*d**2 + 229*d**5 - 16*d**6 wrt d. -1920*d**3 Suppose -4*z + 2*x + 24 = -28, -3*x = 2*z - 18. What is the second derivative of -7*q**2 + z*q - 7*q - 7*q wrt q? -14 What is the second derivative of -7530*x**3 + 3*x**2 + 7*x - 2 - 3*x**2 + 7634*x**3 + 2*x wrt x? 624*x Let u(l) = -556*l + 1515. Let k(t) = 277*t - 758. Let i(y) = -11*k(y) - 6*u(y). What is the derivative of i(v) wrt v? 289 Let m(z) be the second derivative of 3/14*z**8 + 0*z**6 - z**4 + 0 + 0*z**7 + 17*z + 0*z**5 + 0*z**3 + 0*z**2. What is the third derivative of m(b) wrt b? 1440*b**3 Let b(u) = -u + 1. Let k be b(-1). What is the derivative of 47*s - 1 - k - 39*s wrt s? 8 Let b = 22 - 15. Let l = -3 + b. Find the second derivative of -3*u + 4*u**3 - 4*u**4 - l*u**3 wrt u. -48*u**2 What is the first derivative of 2*c - 29 - 244 + 109 - 218 - 74*c**2 wrt c? -148*c + 2 Find the second derivative of 0*a**3 + 39*a + 4 + a**3 - 82*a**2 - 20*a - 4*a**3 - 1 wrt a. -18*a - 164 Suppose -w = -u + 2*u - 7, -1 = u - w. What is the first derivative of 17*q + u*q - 2*q + 6 wrt q? 18 Let l(f) = -7*f**5 + 9*f**4 - 3*f**3 + 9*f**2 + 6*f - 2. Let p(c) = c**5 + c**3 - 2*c. Let d(z) = l(z) + 3*p(z). What is the third derivative of d(b) wrt b? -240*b**2 + 216*b Let u(k) = 53*k + 38. Let a(o) = -o - 2. Let m(i) = -3*a(i) - u(i). Differentiate m(r) wrt r. -50 Let f = -101/26 + 96/13. Let k(j) be the first derivative of 7 + 0*j - 7/5*j**5 + 0*j**4 - f*j**2 + 0*j**3. Find the second derivative of k(a) wrt a. -84*a**2 Let s(h) = -18*h**4 - 4*h**3 - 115*h**2 + 3*h. Let r(z) = -2*z**4 - z**3 - z**2 - z. Let c(f) = 2*r(f) + s(f). What is the third derivative of c(q) wrt q? -528*q - 36 Let q(l) be the first derivative of -8*l**6/15 - 7*l**3/2 - 12*l + 8. Let n(a) be the first derivative of q(a). Find the second derivative of n(t) wrt t. -192*t**2 Let w = 55 - 53. What is the third derivative of 6*l**2 - 25*l**2 + 7*l**w - 8*l**6 - 6*l**6 wrt l? -1680*l**3 Let a(f) be the third derivative of f**9/8640 + f**6/90 - 11*f**5/60 - 10*f**2. Let z(t) be the third derivative of a(t). Differentiate z(s) wrt s. 21*s**2 Let b(d) be the first derivative of 0*d**4 - 33 + 0*d**3 - 1/6*d**6 + 29/2*d**2 + 0*d + 0*d**5. Find the second derivative of b(v) wrt v. -20*v**3 Suppose 0 = r + 5*r - 168. Let b(o) = 18*o**3 - 10*o**2 + 14*o. Let d(n) = n. Let v(t) = r*d(t) - 2*b(t). Find the third derivative of v(a) wrt a. -216 Let z = 60 + -57. What is the second derivative of 23*a**5 - 80*a**z + 41*a**3 + 39*a**3 - 34*a wrt a? 460*a**3 Suppose 14*b - 100 = 9*b. Suppose b = -59*j + 64*j. What is the second derivative of 2*a**2 - 7*a**j - 2*a**2 - 2*a + 3*a**4 wrt a? -48*a**2 Let d(j) = 16*j**3 + 2*j**2 - 3*j + 196. Let a(b) = -64*b**3 - 9*b**2 + 11*b - 785. Let w(f) = 2*a(f) + 9*d(f). Differentiate w(i) wrt i. 48*i**2 - 5 Let a(v) = 334*v**2 - v + 22. Let k(f) = -3*f**2 - f + 1. Let h(l) = -a(l) - k(l). What is the second derivative of h(z) wrt z? -662 Let a(c) be the second derivative of -c**7/252 + c**6/90 + c**4/12 + 11*c. Let m(f) be the third derivative of a(f). Find the second derivative of m(y) wrt y. -20 Let l(c) = c**3 - 12*c**2 + c - 9. Let s be l(12). Let q(g) = -g + 6. Let v be q(s). What is the first derivative of -8*n**4 - 39 + 48 + v*n**2 - 3*n**2 wrt n? -32*n**3 Let x(q) be the first derivative of 1/2*q**6 + 0*q**5 + 0*q + 1/3*q**3 - 40 + 1/7*q**7 + 0*q**4 + 20*q**2. What is the third derivative of x(l) wrt l? 120*l**3 + 180*l**2 Let j(w) be the second derivative of 0*w**5 - 1/3*w**7 + 0*w**6 + 0*w**2 + 0 - 31*w + 3/2*w**4 + 0*w**3. Find the third derivative of j(t) wrt t. -840*t**2 Let k(b) be the third derivative of -b**5/60 + 5*b**4/24 - b**3/2 - 7*b**2. Let a be k(2). What is the derivative of -4*h**a + 0 + 8 + 3*h**3 - 3 wrt h? -3*h**2 Let i be 10/4 + 0 + (-34)/(-68). What is the third derivative of -16*o**i + 7*o**3 + 9*o**3 + 18*o**2 - 27*o**4 wrt o? -648*o Let z(a) = 19*a - 18. Let q(u) = 17 + 11*u - 2*u - 5*u - 24*u. Let y(o) = -3*q(o) - 2*z(o). What is the derivative of y(n) wrt n? 22 Let n(p) be the first derivative of -541*p**5/5 - 169*p + 700. Differentiate n(m) wrt m. -2164*m**3 Find the second derivative of 7*i**2 + 19544*i**5 - 19541*i**5 + 19*i - i wrt i. 60*i**3 + 14 Let m(h) be the third derivative of -23*h**7/210 + 127*h**3/6 - 5*h**2 + 26*h. What is the first derivative of m(c) wrt c? -92*c**3 Let f(t) = 11*t**2 - 35*t + 90. Let z(l) = -2*l**2. Let q(a) = f(a) + 5*z(a). What is the derivative of q(m) wrt m? 2*m - 35 Let r(z) = 80*z**2 - z + 18. Let t(p) = 160*p**2 - 3*p + 36. Let c(d) = -7*r(d) + 4*t(d). What is the second derivative of c(n) wrt n? 160 Let
{ "pile_set_name": "DM Mathematics" }
320 a multiple of 136? True Does 16 divide 224002? False Is 35 a factor of 60164? False Is 87 a factor of 15345949? False Does 126 divide 1490161? False Is 391838 a multiple of 36? False Is 14 a factor of 3143425? False Is 743850 a multiple of 150? True Is 948342 a multiple of 15? False Does 7 divide 756812? True Does 2657 divide 1086813? False Is 796 a factor of 16324731? False Is 198747 a multiple of 176? False Does 5 divide 166510? True Is 13047 even? False Does 21 divide 2293? False Is 47880 a multiple of 133? True Does 174 divide 7099443? False Does 210 divide 4246556? False Is 32 a factor of 329250? False Is 4425620 a multiple of 9? False Is 59373 a multiple of 3? True Is 1138428 a multiple of 12? True Does 10 divide 88716? False Is 219163 a multiple of 131? True Is 741406 a multiple of 233? True Is 34 a factor of 94928? True Does 690 divide 2272860? True Is 8840850 a multiple of 75? True Does 23 divide 664792? True Is 2597584 a multiple of 60? False Is 1710 a multiple of 5? True Is 667 a factor of 1829581? True Is 322 a factor of 37354? False Does 14 divide 6766396? True Is 356216 a multiple of 14? True Is 101 a factor of 66651? False Is 148 a factor of 1730564? True Is 71 a factor of 2540748? False Does 67 divide 696521? False Is 5941428 a multiple of 832? False Is 62 a factor of 391001? False Does 89 divide 230562? False Is 1589568 a multiple of 10? False Is 4629124 a multiple of 66? False Does 204 divide 151745? False Does 345 divide 120511? False Does 83 divide 4354263? True Is 10 a factor of 281340? True Is 2816814 a multiple of 13? True Is 533436 even? True Is 47 a factor of 7659402? True Is 5105960 a multiple of 20? True Does 26 divide 983060? True Does 69 divide 1177830? True Is 3 a factor of 3365556? True Is 46 a factor of 2392? True Does 140 divide 2584568? False Is 1320808 a multiple of 428? True Does 13 divide 329056? True Is 34 a factor of 6742302? True Is 36 a factor of 730018? False Is 53333 a multiple of 19? True Is 69 a factor of 359797? False Is 2022804 a multiple of 252? True Does 258 divide 300054? True Is 8 a factor of 54800? True Does 13 divide 4364882? False Is 54 a factor of 344196? True Is 2061078 a multiple of 21? False Does 30 divide 2608525? False Does 78 divide 10793643? False Is 369665 a multiple of 649? False Is 2920272 a multiple of 90? False Does 22 divide 2289055? False Is 6 a factor of 1136603? False Is 8 a factor of 49864? True Does 87 divide 1766013? True Is 17 a factor of 165733? True Does 89 divide 2623809? True Does 249 divide 26859381? True Does 347 divide 3246814? False Does 61 divide 3382943? False Does 125 divide 99250? True Is 45 a factor of 1508130? True Is 9375263 a multiple of 464? False Does 231 divide 473550? True Is 257 a factor of 915691? True Is 317016 a multiple of 17? True Is 36690 a multiple of 90? False Is 12 a factor of 10753284? True Is 1389532 a multiple of 218? True Is 134 a factor of 61162? False Is 534 a factor of 379926? False Is 692274 a multiple of 90? False Is 20762560 a multiple of 920? True Is 61 a factor of 22495458? True Does 114 divide 5544618? True Is 31 a factor of 237026? True Does 72 divide 3959411? False Does 5 divide 8918987? False Is 14 a factor of 594835? False Is 45 a factor of 2329605? True Is 124879 a multiple of 190? False Is 1069 a factor of 7810114? True Is 319 a factor of 2653761? True Is 144 a factor of 600768? True Does 116 divide 639213? False Does 126 divide 244818? True Does 344 divide 435848? True Is 62250 a multiple of 83? True Is 249 a factor of 5325861? True Is 63 a factor of 845145? True Is 47652 a multiple of 418? True Is 53 a factor of 6546877? False Does 213 divide 2714898? True Is 13304828 a multiple of 70? False Is 217100 a multiple of 65? True Is 161050 a multiple of 3? False Is 41 a factor of 156993? False Is 25 a factor of 780225? True Does 46 divide 155664? True Is 128109 a multiple of 29? False Does 44 divide 3435608? True Is 411136 a multiple of 214? False Does 50 divide 101209? False Is 69 a factor of 521433? True Does 154 divide 21408? False Is 451 a factor of 913726? True Is 99030 a multiple of 114? False Does 378 divide 14568498? True Is 6148161 a multiple of 24? False Is 1500522 a multiple of 939? True Is 57 a factor of 79860? False Is 111 a factor of 387057? True Is 8 a factor of 36536? True Is 27740 a multiple of 54? False Is 7020725 a multiple of 79? False Does 162 divide 336216? False Is 747807 a multiple of 5? False Is 104 a factor of 3324181? False Is 1075 a multiple of 24? False Is 653778 a multiple of 209? False Does 14 divide 549598? True Does 19 divide 7969493? True Does 549 divide 4525435? False Does 61 divide 594262? True Does 854 divide 372344? True Does 45 divide 94052? False Is 22820003 a multiple of 1033? True Is 140 a factor of 436202? False Does 268 divide 6268252? True Is 203 a factor of 1059051? True Is 19 a factor of 119814? True Does 13 divide 9041? False Is 119 a factor of 838593? True Is 310251 a multiple of 28? False Is 5745597 a multiple of 143? True Does 88 divide 9922? False Is 3707489 a multiple of 13? False Is 38 a factor of 63954? True Does 574 divide 8742736? False Is 2 a factor of 58043? False Is 778855 a multiple of 245? True Is 1441 a factor of 12910053? False Is 86 a factor of 21758? True Is 226 a factor of 236268? False Does 33 divide 11695728? True Is 8 a factor of 4954552? True Is 8 a factor of 782328? True Is 356 a factor of 291395? False Does 36 divide 100584? True Does 16 divide 165089? False Is 145 a factor of 242923? False Is 54 a factor of 21226? False Does 15 divide 13120314? False Is 1477445 a multiple of 209? False Is 92 a factor of 9090469? False Is 160954 a multiple of 23? True Does 442 divide 303654? True Is 11 a factor of 1839981? True Does 195 divide 129655? False Is 12678758 a multiple of 41? True Is 301784 a multiple of 28? True Does 47 divide 318522? False Is 499961 a multiple of 301? True Is 20 a factor of 472960? True Is 14749642 a multiple of 34? True Is 115 a factor of 4714882? False Does 352 divide 323840? True Is 52 a factor of 3337764? False Does 7 divide 150101? True Does 2 divide 3219? False Is 24 a factor of 1007435? False Is 88486 a multiple of 13? False Is 335 a factor of 1671650? True Is 805664 a multiple of 32? True Is 274303 a multiple of 9? False Does 2 divide 3796890? True Is 87280 a multiple of 8? True Is 42 a factor of 330078? True Does 630 divide 1015560? True Does 52 divide 490880? True Does 418 divide 1275197? False Is 39 a factor of 496086? False Is 13934 a multiple of 10? False Does 2440 divide 9252115? False Is 25 a factor of 138582? False Does 10 divide 4888690? True Does 7 divide 308091? True Is 208641 a multiple of 28? False Is 8 a factor of 3932098? False Does 55 divide 6900850? True Is 113 a factor of 1517926? False Does 102 divide 28180458? True Is 436 a factor of 69197? False Does 830 divide 11271108? False Is 191 a factor of 78310? True Is 141 a factor of 15078822? True Is 14695 a multiple of 5? True Does 17 divide 72794? True Is 155 a factor of 117173? False Does 3 divide 6781? False Does 1826 divide 1128468? True Is 49 a factor of 403123? True Does 952 divide 11958072? True Is 79717 a multiple of 143? False Does 115 divide 834453? False Is 15277407 a multiple of 867? True Is 151118 a multiple of 6? False Is 258 a factor of 9150747? False Does 252 divide 399587? False Is 41 a factor of 94765? False Is 166738 a multiple of 26? True Is 135 a factor of 227475? True Is 11 a factor of 539? True Is 71 a factor of 58291? True Is 531 a factor of 597906? True Is 639114 a multiple of 362? False Is 246 a factor of 294216? True Does 139 divide 173985? False Is 196 a factor of 333396? True Is 139172 a multiple of 4? True Does 10 divide 57600? True Is 17 a factor of 1391233? False Is 25 a factor of 47238? False Does 167 divide 9339398? False Is 253 a factor of 293986? True Does 359 divide 1054742? True Is 1091 a factor of 12961080? True Is 156860 a multiple of 94? False Does 35 divide 56558? False Does 244 divide 1160708? True Is 70 a factor of 348390? True Does 16 divide 80601? False Is 624 a factor of 2122848? True Is 4 a factor of 20988? True Is 1567277 a multiple of 541? True Does 89 divide 1587849? True Does 22 divide 25518? False Is 24 a fa
{ "pile_set_name": "DM Mathematics" }
+ 17. Let h(d) = -5*b(d) - 8*k(d). Let o be h(-2). Let r = o + 38. Does 13 divide r? True Is 17 a factor of (-3 + 10 - 2) + 1146? False Let i(z) = 2*z**2 + 3*z - 10. Let h(y) = y + 4. Let f be h(-2). Let q be (f/5)/((-6)/(-60)). Does 17 divide i(q)? True Let t = 25 - 35. Does 13 divide ((-4)/(-5))/(-2) - 784/t? True Let i(j) = -44*j**3 + 2*j**2 - 2. Suppose -5*f + 4*s + 27 = 0, 0 = 2*f - 4*s - 5 - 13. Let c be i(f). Is c/(-24) - 2/(-12) a multiple of 24? False Suppose 0 = 196*s - 189*s - 15918. Is s a multiple of 21? False Suppose 4*v + 2*g = 10, 0 = 5*v + 2*g - 0*g - 13. Let i(f) = f**3 - f**2 - 4*f + 4. Does 10 divide i(v)? True Suppose -3*m - 12 = -l, 3*l = -l + m + 37. Suppose -7*q + 3*q - l = -3*a, 15 = 5*a. Suppose -5*p + y + 40 = q, 52 - 6 = 4*p + 2*y. Is 9 a factor of p? True Suppose 5*f + 2*z - 22 = 0, 2*f - 2*z - 6 = -0*z. Suppose -4*j - 3*u = -0*j - 6, -f*u = 2*j + 2. Is 50/(1 - (j + -4)) a multiple of 10? False Let a(u) = -u**3 + u + 10. Let b be a(0). Suppose -4*r + 74 = -b. Let k = -10 + r. Is k a multiple of 5? False Let t(j) = j - 8. Let w be t(0). Let n be ((-6)/w)/((-30)/(-80)). Suppose 118 - 351 = -4*g - 5*o, 0 = 3*g - n*o - 169. Does 19 divide g? True Let g be 6*(-4)/(-18)*(-39)/(-26). Suppose g*y = -5*l + 228, 2*l - 97 = -3*y + 8*y. Does 23 divide l? True Suppose 0 = -6*k + 32 + 4. Let c = -2 - -20. Suppose -c = -2*h + k. Is h a multiple of 12? True Let n be -3 + (8 - 3)*9. Suppose -d - d + n = 0. Let t = 8 + d. Is 12 a factor of t? False Suppose -4*o = -7919 + 667. Is o a multiple of 33? False Suppose 7917 = 2*p + 2035. Does 50 divide p? False Let o(z) = z + 4. Let m be o(8). Let s(b) = 8*b + 17. Is 17 a factor of s(m)? False Does 17 divide (1 - (-18)/4)*8? False Let o(n) = -n**2 + 11*n - 28. Let s be o(6). Suppose 6*g = -s*g + 552. Is 8 a factor of g? False Let w = 90 + -85. Does 21 divide 2/(-10) - (-631)/w? True Suppose 2*w + 6 = 5*q, 6 = -0*q - q + 4*w. Suppose 0 = 5*o + q*x - 788, -3*o = -x - 203 - 272. Is o a multiple of 16? False Let x(h) = -63*h**3 - 3*h**2 - 3*h - 6. Is x(-2) a multiple of 4? True Suppose 103*r + 6 = 104*r. Is (r*53/(-2)*1)/(-1) a multiple of 6? False Let t(u) = -u - 3. Let w be t(-3). Let k be (0 - w) + 24/8. Suppose k*j + 29 - 230 = 0. Is j a multiple of 17? False Let v(k) = -k + 6. Let x be v(3). Suppose -x*h = -5*u - 65, 2*h - u - 17 = 17. Is 2 a factor of (27/h)/((-15)/(-50))? True Suppose 0 = 5*u + 184 - 79. Does 8 divide 110/7 - 6/u? True Let a = -6 - -8. Suppose -a*n + 2 = 0, n + 10 - 89 = -g. Is g a multiple of 6? True Suppose -2 = 2*g - 0, -2*s - 5*g + 631 = 0. Is s a multiple of 3? True Let z(o) = 5*o + 29. Does 18 divide z(23)? True Let h(m) = 3*m**3 - 10*m**2 - 11*m + 39. Is 51 a factor of h(10)? False Let s(h) = 206*h + 450. Does 42 divide s(5)? False Let m = -196 + 268. Is m a multiple of 18? True Let t = 146 - 140. Suppose -j = -k - 4*j, -2*j - t = 0. Is 2 a factor of k? False Suppose 2*t - 160 = 2*c, 0 = 2*t + c - 70 - 75. Suppose -i - 42 = 3*p - 2*p, i = 2*p + t. Let h = p - -62. Does 23 divide h? True Let z(t) = t**2 - 32*t - 557. Is z(-54) a multiple of 21? False Suppose -3*s - 12 = 2*h - s, -3*h + 3*s = 0. Is 26 a factor of h + (0 - -75) - (2 - 1)? False Let z = 2604 - 1548. Is 96 a factor of z? True Let d(m) = m + 15. Let y be d(-11). Suppose -71 = -y*o - 5*w - 0*w, o = -5*w - 1. Does 13 divide o? False Suppose -4*i - 62 = -2*s - 246, -3*s - 3*i - 285 = 0. Let t = 3 + -37. Let r = t - s. Is 20 a factor of r? True Is 27 a factor of (-9450)/(-7) - 5 - -5? True Let v(q) = -5*q**3 - q**2 - 2*q + 4. Let l(c) = c**3 - 18*c**2 + 3. Let f be l(18). Let s(m) = -3*m + 6. Let y be s(f). Is v(y) a multiple of 20? False Is 1 + 6 + 557 + 12 a multiple of 32? True Suppose g - 24 = 17. Suppose -g - 251 = -4*z. Does 28 divide z? False Let t = -30 + 33. Is 7 a factor of 11 + t*(-12)/9? True Is (1 - 1)*6/18 + 77 a multiple of 6? False Suppose 2851 - 8758 = -3*a - q, a - 1971 = -q. Is 24 a factor of a? True Suppose 30*u = 580 + 950. Is 11 a factor of u? False Suppose 2 + 14 = 2*u. Suppose -u*b = 3*b - 847. Does 7 divide b? True Let y(c) = 13*c + 21 - 12*c + 36 - 21. Is y(-11) a multiple of 5? True Let b = -245 + 250. Is b a multiple of 2? False Suppose 5*h - 3*h + 2 = 3*w, 5*h = -5. Let x be (-22)/(-77)*(7 - w). Suppose -239 = -3*z - k, -2*k = x*z - 43 - 123. Is z a multiple of 26? True Suppose 5*x = 3*z - 590, -1020 = -4*z - 5*x - 210. Suppose -5*n = -i + z, -700 + 100 = -3*i - 5*n. Does 25 divide i? True Suppose -3*n = -46 - 83. Does 3 divide n? False Suppose -4*r = -4*k - 760, 122 = -r - k + 316. Suppose -4*i + 0*i + r = 4*l, -l + 2*i = -36. Is 11 a factor of l? True Let h = 0 + 15. Let y be 8 + h/(-5) + 3. Is 6*4/(y/11) a multiple of 8? False Let x = -161 + 66. Does 6 divide 27/(x/(-20) - 4)? True Let c(h) = -29*h - 109. Is c(-9) a multiple of 13? False Suppose -2*p - 60 = -8*p. Suppose -b + 4 = -p. Does 7 divide b? True Let z = -101 - -280. Suppose -g - 3*g = 3*v - 145, -5*g - 3*v + z = 0. Does 2 divide g? True Let z(l) = -7*l**3 - 5*l**2 - 5*l - 4. Let p be z(-3). Suppose 0*q + p = 4*j - 5*q, j = -5*q + 45. Does 10 divide j? True Let r(m) = -11*m**2 + m - 6*m + 4*m + 3*m**2. Let u be r(1). Let o(s) = -3*s - 12. Is o(u) a multiple of 5? True Let h = 49 - 47. Is (-558)/(-9) + h/((-4)/(-6)) a multiple of 16? False Does 16 divide (-8604)/(-42) - 2/(-14)? False Suppose 2*d = -5*o - 2 + 22, 0 = 4*d - 5*o - 10. Let q = d - 1. Suppose q = -2*f + 42. Is 5 a factor of f? False Let t(f) = -14*f**2 + 5 + 2*f - 4 + 39*f**2. Let o be t(-1). Suppose -5*d + 2*d = -o. Is d a multiple of 3? False Suppose -44*f = 10549 - 47509. Does 40 divide f? True Let h(d) = -1200*d - 379. Is 57 a factor of h(-4)? False Let d = 9 - 6. Suppose d*u + 174 = 5*u. Suppose -3*c = -3*i - u, -5*c - 3*i + 154 = i. Does 10 divide c? True Is 4 a factor of (-1 - (-282)/12)*2? False Suppose 0 = -z - 3*z + 1544. Let w = z + -276. Let j = -65 + w. Is j a multiple of 13? False Let b(h) = -h**3 + 2*h**2 + 4*h + 4. Let k(i) = i**3 + 15*i**2 - i - 5. Let l be k(-15). Let o = l - 14. Does 16 divide b(o)? False Suppose 194139 = 4*z + 49*z. Does 19 divide z? False Suppose -641 - 1319 = -4*x. Is x a multiple of 14? True Suppose 4*o - 2*q - 15 - 5 = 0, 22 = 5*o - q. Suppose 3*d + o*z + 268 = d, -2*d + 3*z - 296 = 0. Let k = -45 - d. Is 27 a factor of k? False Is (421/2)/(9 - 51/6) a multiple of 7? False Suppose -2*i - 4*l + 72 = -3*l, 4*i = -5*l + 144. Is 18 a factor of i? True Suppose -p + 55 = 4*z, 0*z + 323 = 5*p - 4*z. Does 7 divide p? True Let s be 13 + (-3)/(-3)*-3. Let u be 37/2*s + -1. Suppose 6*g - 2*g = u. Is 20 a factor of g? False Let z(v) = v**3 + 14*v**2 + 13*v + 2. Let g be z(-13). Suppose 3*o + g*d - 7 = 0, -o - 28 = 2*o - 5*d. Does 15 divide (-72 - 3)*1/o? True Suppose -3*o - 5*q = -4*o - 41, 4*q = o + 36. Let h = 658 + -679. Let v = o - h. Is 5 a factor of v? True Let i be 78/14 + 1 + 16/(-28). Is (-1 - (-7)/i) + 1319/6 a multiple of 42? False Let q(w) = 30*w**2 + 12*w - 153. Does 94 divide q(9)? False Suppose -25*y + 550 = -20*y. Is 11 a factor of y? True Let m = 90 - -8. Suppose w = m - 25. Is w a multiple of 21? False Let a = -2035 + 4710. Is a a multiple of 32? False Suppose -3*d = -3*n - 60 - 36, -2*n = 4*d + 82. Is 4/5 - 917/n a multiple of 4? False Let y(q) = 608*q**2 - 19*q - 19. Is y(-1) a multiple of 4? True Suppose 17 = 5*o - 3*d + 4*d, -3*o - 4*d = 0. Suppose 0 = -x + 3*x - 4. Suppose x*i + 0 = -6, o*t - 4*i = 100. Is t a multiple of 11? True Let m be 1/((-3)/(-45))*(-21)/(-9). Does 39 divide 95/m + -3 - (-4372)/14? True Suppose -72*q + 5745 = -67*q. Is 37 a factor of q? False Let y = 379 - 181. Let o be (-2)/7 + y/(-42). Let x(k) = k**3 + 5*k**2 - 2*k + 10. Is x(o) a multiple of 14? False Let p = 25 - 63. Let s be (p/(-4))/(4/8). Let q = s - 14. Is 5 a factor of q? True Suppose 3*p = 8*p - 135. Let x be 3 + -19 + 3 + 6. Let u = p + x. Is u a multiple of 8? False Suppose -5*y - 234 = -29. Let i = 45 - y. Is 15 a factor of i? False Let u = -4 + 6. Is u*2/(-20) - (-164)/20 a multiple of 4? True Is 6 a factor of (-2*1)/((-20)/240)? True Suppose 11*o = 2592 - 733. Is 8 a factor of o? False Let s(d) = -d**3 + 10*d**2 - 8. Suppose -w = 118 - 126. Is 20 a factor of s(w)? True Suppose 0 = -y - 5, -6*n = -3*n + 2*y -
{ "pile_set_name": "DM Mathematics" }
+ s*h**2 + v and give f. -9 Express -55*i - 39*i**2 - 62*i + 169*i - 55*i as u*i + o*i**2 + d and give d. 0 Express (-v**2 - 3*v**2 + 2*v**2)*(-31 - 100 - 21)*(4 - 1 + 0) in the form u + s*v**2 + r*v and give s. 912 Express -4 + 7*q - 20*q - 8*q as f*q + r and give f. -21 Rearrange (0 + 1 + 0)*(0*g**2 + 0*g**2 + g**2) + g - 269*g**2 - 124*g**2 + 274*g**2 + 3 to the form z + o*g + x*g**2 and give x. -118 Rearrange (2614*q + 2829*q - 6307*q)*(2 - 3 + 2) to the form u + r*q and give r. -864 Rearrange (-1 + 2 - 3)*(-1 + 2 + 1)*(-t**4 - 30*t**2 + 11*t**4 + 25*t**2) to n*t**3 + v*t**2 + y*t + j + s*t**4 and give v. 20 Rearrange 1361 + 4*c + 1367 - 2580 to g + l*c and give g. 148 Express -524197*s**2 - 15*s + 524187*s**2 + 2*s**4 - 3 - 4*s**4 as a*s**2 + x*s**4 + g*s**3 + n*s + l and give l. -3 Rearrange (2*f + 0*f - f)*(-4 + 4 + 6*f)*((0 + 2*f + 0)*(0*f - f + 3*f) + 5*f**2 + f**2 - 5*f**2) to the form s*f**2 + i*f**4 + r*f + b*f**3 + p and give i. 30 Rearrange -35*m**3 - 50 + 0*m**3 + 34*m**3 + 3*m**3 to the form i*m**3 + a*m**2 + g*m + k and give i. 2 Rearrange (-63*k + 8 + 58*k - 5)*(-17 + 17 - 10*k**2) to the form a*k**2 + g*k + o*k**3 + z and give a. -30 Express -2 - 1 + 201*l**2 - 168*l**2 + 17 in the form w*l**2 + a + q*l and give q. 0 Express 8*s**2 + 8*s - 8*s + 2 + (3*s - 2 + 2)*(-4*s - 3 + 3) in the form u + d*s + z*s**2 and give u. 2 Express (197*s - 668*s + 67*s)*(9*s**2 + 2 - 2*s**2 - 3*s**2) in the form f*s**3 + j*s**2 + z + w*s and give w. -808 Rearrange -4*w**2 + 5*w**2 - 2 + 68*w**3 - 39*w + 41*w to the form m*w**3 + q + s*w + r*w**2 and give s. 2 Express -65*j**3 + 6*j - 20*j**2 - 50*j**2 - 69*j**3 - 73*j**3 + 206*j**3 as m*j + g*j**3 + v*j**2 + p and give g. -1 Express -10*k - 57*k**3 - 35*k**2 + 12*k + 56*k**3 in the form f*k**2 + i + q*k**3 + w*k and give w. 2 Express -132 + 2*c + 29 + 28 + 31 - 6*c**3 + 36 as v*c**2 + n*c + j + t*c**3 and give j. -8 Rearrange 2 + 547*u**2 - 1089*u**2 + 2*u**4 + 549*u**2 + 2*u to f*u**2 + a*u**3 + o*u**4 + w*u + s and give s. 2 Express (3 - 3 - 8*x**3)*(0*x + 3*x - 26*x) - x + 2*x**4 - 1 - x**3 + x**3 as j*x**2 + f + s*x**3 + i*x + y*x**4 and give f. -1 Rearrange -5*j**2 + j**2 + 7*j**2 - 10*j**2 + 2 - 529*j + 9*j**2 to the form x + t*j**2 + h*j and give x. 2 Express 50 - 13 + 1897*f - 22 - 15 in the form x + o*f and give o. 1897 Express -15*k - 22*k**2 - 40*k**2 + 16*k + 3 - k**4 in the form l*k + a*k**4 + d*k**3 + c + b*k**2 and give a. -1 Express (13 + 11 - 7)*(31 - 57 - 16*g + 26) as y*g + c and give y. -272 Express -13 + 10*j**2 - 8*j + 14 + j**3 + 0*j**2 as b*j**3 + r*j + t*j**2 + q and give q. 1 Express 140*h**2 + 4 + 25*h**2 - 3 - 1 as a*h**2 + s*h + u and give a. 165 Express 12 - 86*k**2 + 13 - 25 as c*k**2 + g + b*k and give c. -86 Express 129*q + 482*q + 622*q in the form p*q + j and give p. 1233 Express 22 - 103*j + 49*j + 50*j as x + l*j and give x. 22 Rearrange (-1 + 1 + 2*k**2)*(-5*k + 4*k - 2*k)*(8 - 1 - 2)*(-4 + 3 + 5) to the form f*k**3 + w*k**2 + u*k + b and give f. -120 Express (3 - 1 - 3)*(-2*s + 2 - 2)*(-76*s**2 + 565*s**2 + 762*s**2 - 90*s**2) as b + p*s**2 + k*s + x*s**3 and give k. 0 Express (-r + 0*r + 3*r)*(-25 + 9*r + 41 - 15) - r**2 + 0*r**2 - 2*r**2 as g + v*r**2 + k*r and give v. 15 Express -2*x**2 - 2 + 2*x - 6*x**3 + 72*x**4 - 149*x**4 + 76*x**4 + 3*x**3 as p + f*x**4 + c*x**2 + i*x + w*x**3 and give p. -2 Express 1 - 2 - 1100*v - 1 + 2 in the form a + h*v and give h. -1100 Express -19 + 4*f**3 - 22 + 3*f**3 - 5*f**3 + f - 3*f as a*f**3 + l + i*f + n*f**2 and give i. -2 Rearrange (0*j + j - 3*j)*(-513 - 267 - 521 + 142)*(j + 2*j**2 - j) to t + v*j**2 + u*j + s*j**3 and give s. 4636 Rearrange 5*u + 3*u + 4*u + 30 - 5*u + u to the form d*u + m and give m. 30 Rearrange 5*n**3 - 5*n**3 - 3*n**4 + (175*n**2 + 29*n**2 - 8*n**2)*(5*n**2 - 4*n**2 + 0*n**2) to d*n**2 + r*n**3 + j + u*n**4 + v*n and give u. 193 Rearrange -12 - 24*p**2 - 15*p**2 + 63*p**2 - 21*p**2 to the form y*p + z*p**2 + c and give c. -12 Rearrange -5*w + 81*w**3 - 439*w**2 + 440*w**2 + 6*w to d + t*w**2 + b*w**3 + o*w and give t. 1 Express 5*u**3 - 9*u**3 - 19*u**3 - 9*u**3 + 0*u**3 + 6*u**3 + (-2*u - 4*u + 4*u)*(-1 - 2*u**2 + 1) as m*u**2 + c + q*u + l*u**3 and give l. -22 Express -2*z**4 + 7*z - 2*z**2 + 1 - 2*z**3 + z**3 - 3*z as y*z**2 + s*z**4 + i + g*z + v*z**3 and give s. -2 Express 36 + 11*k + 11*k + 6*k - 29*k in the form o + a*k and give a. -1 Express (0*d + 0*d - d + 1)*(-5 + 6*d + 5)*(-2*d + 0*d + 5*d) as o*d + f*d**2 + r + z*d**3 and give z. -18 Rearrange -29 + 14 + 0*d**3 - 2*d**3 - 10 - 9*d**3 to the form j*d**2 + c*d + m + r*d**3 and give m. -25 Express -136*x**2 - 1 + 8*x**2 + 1 in the form h*x**2 + u + v*x and give h. -128 Rearrange 4*f**2 - 20*f**2 - 5*f**2 + 3 - 3 - f**2 + (-2*f + 1 - 1)*(1 + 2*f - 1) - 169*f + 23*f**2 + 169*f to z*f + r + y*f**2 and give z. 0 Express (1 - 2 + 0)*(-3*g**3 + 2*g**3 - g**3) + 0*g**2 + g**3 + 0*g**2 + 151*g**3 + 791*g**3 + 439*g**3 in the form j*g**3 + d*g + v*g**2 + l and give j. 1384 Express (-3*u - 4*u + 6*u)*(0 - 16 + 45)*(2 - 3 + 2)*(-5 + 2 - 1) as n*u + q and give n. 116 Rearrange -6*v + 2*v**2 + 5*v**2 - 2 - 6*v**2 - 4*v**2 to the form l*v + h*v**2 + m and give m. -2 Express -9 + 0*c**4 + 26*c + c**3 - 2 - 2*c**4 + 10 - 3*c**2 in the form g*c**4 + v + w*c**2 + u*c + y*c**3 and give w. -3 Express (105*f**2 + 209*f**2 + 121*f**2)*(-1 - 3*f - f + 2*f)*(2*f + 5 - 5 + 1) as v + l*f**4 + a*f**2 + c*f**3 + n*f and give c. -1740 Rearrange (13*z + 91*z**2 - 6*z - 7*z)*(2*z**2 + 0*z**2 - 4*z**2) to the form v*z**2 + d*z**3 + l*z**4 + g*z + x and give x. 0 Express u**2 + 3 + 4*u**3 - 3 + 17*u**3 + 291*u - 290*u as l*u + k*u**3 + j*u**2 + x and give l. 1 Rearrange -10*u + 5*u**2 - 2865 + 2865 to the form c + k*u + i*u**2 and give k. -10 Rearrange (-4 - 2 + 2)*(19 - 9 - 6*s - 17) to a + z*s and give z. 24 Rearrange 878 - 1747 + 151*s + 876 to the form t*s + o and give t. 151 Express -14*h**3 + 49*h**3 - 8*h**3 + 2*h**3 - 7*h**3 + 18 in the form m + g*h**3 + p*h**2 + k*h and give m. 18 Rearrange 0 - 97*s - 90*s + 9 - 99*s - 8 to m*s + r and give m. -286 Rearrange 770 - 9*i - i**2 + 39*i - 18*i - 11*i to the form l*i + d*i**2 + p and give l. 1 Express (-4*l + 2*l + 4*l)*(3*l**2 - 2 + 2)*(44*l - 16*l - 49*l) in the form t*l**3 + d*l**4 + r*l**2 + w + a*l and give d. -126 Rearrange (5 + 1 - 3)*(b**4 + b**2 - b**2) + 0*b**2 + 0*b**2 - 2*b**4 + 204*b**4 - 211*b**4 + 0*b**3 - 2*b**3 to p + m*b**4 + k*b**3 + a*b + r*b**2 and give m. -6 Express (2 - 5 - 2)*(-5 + 2 + 0)*((0*k**4 - k**4 + 0*k**4)*(1 - 6 + 0) + 3*k**4 - 6*k**4 + 0*k**4) in the form t*k**3 + x*k + v*k**4 + a + l*k**2 and give v. 30 Rearrange -1277*d**3 + d + 0*d**2 + 1535*d**3 - 2*d**2 to i*d + j*d**3 + l + b*d**2 and give i. 1 Express 2 - 1 - 2 - 1 + 329*r**2 - 282*r**2 as u*r**2 + y*r + z and give z. -2 Rearrange -2*i**3 - 60*i - 53*i + 2 + 116*i + i**2 + i**3 to y*i**3 + d + f*i + z*i**2 and give d. 2 Express (0 - 1 - 1)*(988009*u**2 - 988009*u**2 + 5291*u**3) in the form r + i*u**3 + d*u**2 + l*u and give i. -10582 Express -25*j**2 + 51*j**2 - 16*j**2 + 3*j - 6*j - 9*j**2 - 1 - 5*j**4 in the form q*j + z + g*j**3 + f*j**4 + v*j**2 and give f. -5 Rearrange -4*u + 23*u - 2*u + (2 - 1 + 0)*(2*u - u + u) - 8*u - 14*u + 25*u - 1 + 2*u + 1 to the form m*u + y and give m. 24 Express (0 + 0 + 1)*(-l + 4*l - 5*l)*(-23 + 10 - 12)*(-1 + 4 - 2) in the form s + b*l and give b. 50 Rearrange -r + 63 - 5 - r**4 + 785*r**2 - 784*r**2 to t*r**4 + x*r**2 + a*r + w + h*r**3 and give a. -1 Express 77 + 32*c + 61 - 138 in the form h*c + p and give h. 32 Express (-10 + 23 + 38)*(-a + 2*a - 4*a)*(-1 + 1 + 2) in the form v*a + t and give v. -306 Express (3*s**2 - s**2 + 5*s**2)*(-160 + 160 + 36*s) in the form n + m*s**3 + j*s**2 + w*s and give m. 252 Express (-1704 + 2083 + 2781)*(-3 + 3 + l) in the form x + d*l and give d. 3160 Rearrange (17 - 36 + 3 - 39)*(-4*v**3 + 5*v**3 + v**3) + v**3 - 4*v**3 - 3*v**3 to w*v + j*v**2 + m + o*v**3 and give o. -116 Rearrange (48 + 26*i**3 - 48)*(4 - 1 - 2) + (0*i + 0*i + 2*i**2)*(3 + 2*i - 3) + i**3 - 5*i**3 + i**3 to the form a*i + t*i**3 + w + m*i**2 and give t. 27 Rearrange -17*i**3 - 27*i**3 + 45*i**3 - 15*i**3 - 3 + 2*i to the form j + l*i**2 + z*i**3 + h*i and give l. 0 Expres
{ "pile_set_name": "DM Mathematics" }
(4/(-20))/(-2054*(-63)/8190)? -1/79 Calculate (6/(-4)*(-544)/(-4760))/((-21)/5). 2/49 (8*(-20)/320)/(38/386) + (-55)/(-11) -3/38 (6/(-4))/((-55)/176*-8 + 8 + -9) -1 Evaluate ((-297)/(-22) + -13)/(((-10)/4)/((-405)/(-162))). -1/2 Evaluate -160 - 109296/(-690) - (-172)/(-5). -36 (-116)/14*(-119)/(-34) + 62 33 Evaluate -12 + 86 + ((-5)/(-20)*44 - 0/(-10)). 85 Evaluate (1410/105)/((-88)/(-154))*4/2. 47 What is (-101 - -27) + (-90860)/(-1210)? 12/11 -39*(-102)/(-493) - (-8)/116 -8 Evaluate (31/93)/(52/(-4368)). -28 What is the value of (6/(-93)*717/478)/((9/4)/(-3))? 4/31 3775/(-165) + (-1652)/13629 -23 What is the value of (-19)/(133/(-21))*((3 - 0) + 0)? 9 Calculate (-2 - -5)*516/(-9)*185/(-740). 43 What is the value of (3 - 575/185)*(6 + 990/(-180))? -2/37 1763/2*(-21696)/(-466464) 41 ((-1420)/40 - -33)*(-9)/(-135) -1/6 (-615)/270 + (-380)/(-152) 2/9 What is the value of (-5 - -16)/1*(-35 + 31 + 0)? -44 What is the value of (19/((-5453)/(-738)))/(-2*(-3)/(-56))? -24 What is 53720/2400 - 23 - 2/(-3)? 1/20 What is the value of (-6)/68 + 389487/12138? 32 Calculate (10/(-7))/(52/(-40404)*37). 30 70*(5786/(-2367) - 417/(-270)) -63 Calculate ((-858)/(-676))/((-121)/3146). -33 Evaluate -9*1 - ((-8073)/1500)/(405/675). -3/100 Calculate (-402162)/9674 + 3/(-7). -42 What is the value of (-354)/(-59)*2/21*(-294)/(-2436)? 2/29 1*(17/34 + (-21)/(-2) - 2) 9 Calculate (-1151100)/(-11745) - 146/19053. 98 Evaluate 24/28 + (7/98)/((-1938)/17544). 4/19 Evaluate ((-144)/(-15))/(-36*(-96)/1080). 3 Calculate 20124/(-10062) + 70 + -1. 67 (-546)/(-351)*432/1260 8/15 What is the value of -20*((-27)/72)/3*(-23 + -7)? -75 61 - (4108/84 - -12) 2/21 Calculate 213*(-97 - 876/(-9)). 71 What is ((-10)/(-6))/((-17523)/1062) - 5/(55/(-6))? 4/9 What is the value of ((-17409)/(-7461))/((-7)/(-81)) - (-3 + 21)? 9 What is the value of (-1146)/3820*(-21)/(-9)? -7/10 Evaluate (34387/5206)/(((-5)/(-2))/(-5)) + 13. -4/19 What is ((-4898)/62)/((-48)/84 - (-77)/49)? -79 Calculate 35/(-20)*745/149. -35/4 Evaluate -4*9/66 - (110 + (-652036)/5929). -4/7 (7/(13552/(-32)))/((-135)/990) 4/33 Calculate (87 - 2)*(102/(-357))/(6 - (-136)/(-21)). 51 Calculate -14 + (-20)/(-4) + -22 - 4. -35 What is the value of (31/((-68448)/64))/(9/(-69))? 2/9 Evaluate (-3 - 589/(-95))*40/(-16). -8 What is -3 + -2 + 19760/(-912)*(-1)/3? 20/9 What is (18*8/240)/(43/(27520/216))? 16/9 Evaluate (-7540)/(-1690)*(-2535)/(-130). 87 Calculate 21 - 32 - 0 - -17 - 16/(-1). 22 Evaluate 33 + 266/(-7) + (85 - (2 + -6)). 84 5904/(91 - 163)*2/4 -41 What is 63/(-90)*(-25670)/(-8456)? -17/8 Evaluate 62 + 4 + 2*(-23)/92*30. 51 Evaluate (-1567335)/9086*(12/(-10))/(-3). -69 Evaluate (-33)/5 + (-8950)/22375. -7 Evaluate ((-252)/(-336))/(66/36). 9/22 15/132*(-4872)/(-3045) 2/11 What is (220/(-5) - (-15 + 3)) + 48/6? -24 Evaluate 11130/(-294) - (28 + -66). 1/7 What is the value of (54/(-32))/(8751/(-186688))? 36 Evaluate 3 + 140*(-456)/(-18620). 45/7 Evaluate (4 + (-207)/78)*(-546)/(-420). 7/4 Evaluate -7 - (-11 - 5) - (22178/(-2470) + 18). -2/95 Calculate (-2268)/4914 + 4/(-5)*(968/429 + -3). 2/15 Calculate 1602278/10141 - (-135)/(-3). 113 ((-26)/(-52))/((-56)/4816) -43 What is the value of (20/15 - (-126)/54)/(-1)? -11/3 ((-15)/(-222))/((-845)/507)*(-2)/3 1/37 Calculate ((-3)/(-12)*69/6)/(116/(-928)). -23 What is (-1 + 54/22)*(128271/676)/253? 12/11 What is -12 - (-6 + -13 - (12 - (15 + -4)))? 8 Evaluate (-3)/(3/14)*90024/16368. -77 Calculate ((-23 + 20)*(-11)/33)/((-10)/(-35)). 7/2 (-86)/((2 + -11 - 0)*259/(-2331)) -86 (-20)/9*(3905 - 3887) -40 Calculate (416/7360 - 8/(-184))/(3/295). 59/6 What is the value of 42816/(-74928)*(-2)/(1 - 3)? -4/7 Calculate (20/3 - (-4)/((-96)/(13 - -3)))*-6. -36 (-1672)/1881 + 5/3 7/9 ((-6183359)/728)/(-119) - 77 -45/8 What is the value of (-1)/7*34545/14805? -1/3 ((-497)/(-140154))/((-1)/(-6)) 1/47 Calculate -3*(-3)/(-6)*(-1)/(((-46)/2)/506). -33 (-637)/(-156) + -4 - (1 + (-485)/20) 70/3 What is the value of -9*(-1)/6*21080/(-930)? -34 What is ((-4 + (-1125)/(-30))*-1)/(10/20)? -67 Calculate (540/20)/(2/(-8)*((10 - -16) + -24)). -54 (-160)/15*1116/248 -48 What is 23/((-1173)/612) - 1078/(-90)? -1/45 (-24)/30*-15 - (-110316)/(-9222) 2/53 ((-94)/611)/((-15)/(-9) + 1)*16/6 -2/13 Calculate (-66)/990 + (-1820)/(-2400) - (-2)/(-3). 1/40 What is the value of 2752/(-2752)*3/18? -1/6 What is the value of (36 - (-3)/(63/294) - -1*4) + -7? 47 Evaluate 9440/4248*(-9)/(-1). 20 Evaluate (-640)/(-96)*(-369)/328. -15/2 What is the value of ((-5184)/90288)/((-4)/22)*19? 6 Calculate (-186)/(-12) + -11 - ((-10428)/24)/(-11). -35 What is 513/(-19) + 22 - (-85 + 5)? 75 What is 2/(-10) - ((-20 - -8)*(-188)/(-680) - -3)? 2/17 (2/9)/((-321)/(-37557)) 26 What is the value of (10 + 0)*(-1 - (-21)/12)*356/3115? 6/7 329745/(-13585) + (26 - 1) 8/11 5/14*(5 - 4)*(-64)/(-480) 1/21 What is (16/(-12) - 2)/((248/(-837))/(-4))? -45 Calculate (88/((-34320)/1443))/((-2)/20). 37 Evaluate ((-9)/15)/((-531)/2655). 3 What is the value of (-3)/9*2 + (-89)/(-4)*(-416)/(-13416)? 1/43 Calculate 32 + ((-68)/20 - 11937/345). -6 Evaluate 4896/1736 - (-3560)/11036. 22/7 Calculate 3/4 - (14 + 6132/(-105))*20/(-32). -27 Calculate 23 + (140/300*-145)/3. 4/9 ((-25)/(-221) + (30/51)/5)/(-150 + 149) -3/13 Calculate ((-76)/24 - 28/(-14)) + ((-5787)/(-54) - 3). 103 Evaluate 1974/423*(-70)/(-147). 20/9 12/21*(-15 - (-11266)/731) 4/17 Calculate 2/(((-1005)/(-30753))/(25/(-30))). -51 What is (0 - (-690)/25)/((-11942)/(-4265))? 69/7 Evaluate ((-14 - -19) + -7)/(-2 - 8*-3). -1/11 Calculate 253/22*-1*-2*-2. -46 Calculate 266240/12288 + 33/18. 47/2 Calculate (-4*432/320*5)/3. -9 What is the value of (-327)/(295935/(-2534))*220/(-14)? -44 What is the value of 0 + -8 - ((-52)/16)/((-69)/(-168))? -2/23 Evaluate 1 + (-1*(-4)/10)/(147/16905). 47 Evaluate (11906008/108040)/(19/20). 116 Evaluate 228/6916*52/12. 1/7 -7 - (-1*1 + -640 + 626 + (-20)/(-3)) 4/3 46 + -9 + -44 - -3*1*4 5 What is the value of ((-90)/48 - -3) + (-579)/24? -23 1/7 + (-127 + 172369/1358)/((-3)/344) 25/3 Evaluate -87 - 110/495*-315. -17 Calculate 2/36 - 58800/42336. -4/3 What is the value of 744/(-62) + 7 - (-46)/10? -2/5 Evaluate 32/(7007/429 - 16). 96 Calculate (-9)/(-5)*4510/116358. 3/43 Evaluate (-11 - -13)*145/58. 5 What is the value of -15*((-3575)/(-198) + -11 - ((-85)/(-17) - -2))? -5/6 -164 + 153 - (-39 - 45) 73 Evaluate (-179)/63 + 18920/(-385) + 52. 1/63 Calculate (-87358)/(-1116) + 7098/(-91). 5/18 What is 22 - 19 - ((-75)/200 - (-1083)/72)? -35/3 Calculate (5/1 - (-1927)/1128*-12) + 10. -11/2 Calculate (-12070)/(-355) - (-236)/(-6). -16/3 What is -167 + 162 + ((-332)/6 - (-5 - 119/(-21)))? -61 What is the value of 50/(-920)*(-952)/3570? 1/69 Evaluate 20930/644 - (-3 + (-5)/(-10)). 35 18/63 - ((-2603)/665 + 4) 1/5 What is the value of (20/(-12)*((-33610)/3050 - -11))/(2/(-1))? -1/61 What is (-84)/348*(-726)/15246? 1/87 Calculate (9846/369225)/((-2)/(-8)*(5 - 130/25)). -8/15 Evaluate 21483/(-341) + ((-10)/5 - -8). -57 151/2114*1491/(-15) + (-14)/(-2)*1 -1/10 (0 - (-90)/(-475))/(20/(-55) - 507/2145) 6/19 Evaluate (10/(17 - 12))/((-9)/30*13/39). -20 Calculate (-439)/(-9) + (-11 - (-3540)/324)/(2/(-6)). 49 ((-39)/(-4))/(501/90 - (-75)/(-1125) - 4) 13/2 Calculate (-24)/30*((-19499)/1628 + 11 + 1)*-1. 1/55 What is 670/804 - ((-20)/(-50) + (-11)/30)? 4/5 What is the value of (1620/450 - (3 + 1))*(-90)/(-1008)? -1/28 (-80)/(-56) + (2 - 132/9)/((-91)/234) 34 Calculate (-5 - 64/(-12))*114/(-95)*(-20)/(-136). -1/17 6370/50388 - (4 - 858/221) 1/114 (-1266)/27219 + -67*14/172 -11/2 Evaluate (2 - (-4454)/(-50)) + (-6)/275*627/(-171). -87 What is (10/(2*(-100 - 3)))/(5/2)? -2/103 5 + 8 + (-423)/(-66)*(-13 - -11) 2/11 What is (-4)/146 - (-55 - 3285625/(-59787))? 2/117 Evaluate (-58 + 4)/(-48 - 2278/(-67)). 27/7 What is the value of (-4 - 8*(21/(-6) + 888/(-48)))/4? 43 What is -8*(4/240*(-160)/64)/((-3)/78)? -26/3 What is 168/952 + 968/(-3944)? -2/29 Calculate 13148/2926 + 2*(-2)/(-11) - (-20 + 22). 20/7 What is the value of ((-198)/(-110))/(8/100) - 20? 5/2 What is the value of -43 - (-3807)/162 - 19*-1? -1/2 Calculate (11/6)/(-9 - 114/(-9)). 1/2 What is the value of ((-161)/(44758/(-5421)))/(((-2)/4)/1)? -39 Calculate -112 + 179 - (-44)/(8 - -3). 71 76627/(-515570) - 24/(-2640) -6/43 What is the
{ "pile_set_name": "DM Mathematics" }
of n? True Suppose -2*v = -3*y + 24890, 4*y = -v - 86 + 33280. Does 18 divide y? True Let o = -3743 + 17855. Is 32 a factor of o? True Suppose 0*d - 3*d = -24. Let c be 15 + -17 + -10 - -663. Suppose d*k = 421 + c. Is k a multiple of 45? False Let h(c) = 8*c - 217. Let u(o) = -25*o + 650. Let x(f) = 17*h(f) + 6*u(f). Is x(8) a multiple of 50? False Let j be (-13)/(234/12) + (-10)/(-6). Let o be 1*76*(j/4 - -1). Suppose -o = -d + 5*k, 2*d + k = -k + 214. Does 27 divide d? False Let j(n) = 229*n**2 + 10*n - 11. Is j(-5) a multiple of 26? False Suppose -32019 = -4*r - 575*t + 580*t, -40014 = -5*r + 3*t. Is 99 a factor of r? False Let g be -2 - -1 - (-16)/(8/(-4)). Let c be (-9)/6*(g + (-9)/(-3)). Suppose 0 = 4*n + 4*f - 0*f - 60, f = n - c. Does 12 divide n? True Suppose 7*y = -221 + 9797. Does 152 divide y? True Suppose 46 = -3*k - b - 0, -2*b = 5*k + 76. Is 7 a factor of 2*4/k - 2620/(-8)? False Suppose -11*b = 42994 - 146983 - 180647. Is b a multiple of 25? False Let j(p) = -7*p + 9. Let m(o) = -13*o + 17. Let x(f) = -5*j(f) + 3*m(f). Let s be x(0). Let q(n) = -n**2 + 11*n - 18. Does 12 divide q(s)? True Let n(s) be the first derivative of -33*s**4 - 2*s**3/3 - s**2 - s + 142. Is n(-1) a multiple of 3? False Let v(h) = -14665*h + 319. Is 7 a factor of v(-1)? False Let d = 5 - 3. Suppose 8*j = d*j + 60. Is 3/(18/j)*(-630)/(-35) a multiple of 10? True Let n(o) = 2*o - 46. Let z be n(25). Suppose 0 = 3*f - 5*a - 0*a - 1, 2*f = -z*a + 30. Does 2 divide f? False Suppose 55*n + 12022 = -15808. Let p = n - -752. Is 3 a factor of p? True Let p(l) be the second derivative of -l**5/20 - l**4/3 + 3*l**3 + 15*l**2/2 - 72*l - 2. Does 5 divide p(-7)? False Let g(m) = 479*m + 364. Does 19 divide g(3)? False Let g = 769 - 337. Suppose 0 = -11*n - 404 - g. Does 18 divide (-13 - n)/(3/10)? False Suppose 697*g = 735*g - 211432. Is 4 a factor of g? True Suppose 134*r = 3305526 + 188032 + 51948. Is 5 a factor of r? False Suppose -191807 + 48175 - 203120 = -172*x. Is 24 a factor of x? True Suppose -18716 = -3*i + 2*w, -15*i + 5*w = -18*i + 18751. Does 26 divide 231/(-45) + 5 - i/(-15)? True Suppose -4*o + 26356 = -4*z, -4*o + 3*z + 27935 - 1574 = 0. Does 14 divide o? True Let r = 199 + 5909. Is 6 a factor of r? True Let t = 26 + -23. Let c be ((-675)/(-12))/(t/12). Suppose -14*j + 15*j = c. Is 45 a factor of j? True Suppose 3*j + 4*p - 13 - 3 = 0, 8 = -4*j + 2*p. Suppose 24*t = 19*t + c + 4874, -4*t - 4*c + 3904 = j. Is 15 a factor of t? True Suppose -8*p = 98 - 90. Is 7 a factor of (p + 0 + (-444)/4)/(-1)? True Let q(c) = 796*c + 5. Let i be q(6). Is 5 a factor of i/56 + (-6)/16? True Let j(i) = i**3 - 17*i**2 - 36*i + 9. Let b(f) = -f - 1. Let s(w) = 3*b(w) - j(w). Is 61 a factor of s(17)? True Let v(d) = 5*d + d**3 - 9*d**2 - d + 6 + 0*d**3. Let r be v(5). Let p = -12 - r. Is 9 a factor of p? False Let q(i) = -144 + 13*i - i**2 + 53 + 69. Is q(8) a multiple of 9? True Let b = -13276 - -13425. Is 2 a factor of b? False Let d(c) = -c**3 - 6*c**2 + c - 38. Let t be d(-7). Suppose 0 = t*u - 5*x - 1520, u + 4*x - 381 = 5*x. Is 11 a factor of u? True Suppose 2*h - 1536 = 8*o - 6*o, 3*h - 5*o - 2302 = 0. Is 19 a factor of h? False Let c(o) be the first derivative of 21*o**2/2 - 36*o - 28. Does 9 divide c(3)? True Let n(m) = -m - 10. Let h be n(-12). Suppose h*f + f = 351. Let d = -83 + f. Is d a multiple of 17? True Suppose -5*u + 2*u + 141 = 0. Let n(z) = 36*z + 180. Let x be n(-5). Suppose -4*a - 119 = -2*d - u, 4*d - 5*a - 153 = x. Does 22 divide d? False Suppose 16*p + 80 = 8*p. Is (16/(-5))/(p/325) a multiple of 8? True Does 27 divide ((-34)/51)/(4/3)*-11462? False Is (15086/(-190) - -25)/(1 + 77/(-75)) a multiple of 60? True Let l be -3*-2*((-5)/2 - -3). Suppose -5*m + l*q + 49 = 0, 46 = 3*m + 2*m - 2*q. Suppose -212 + 780 = m*n. Does 7 divide n? False Let u(s) = s**2 - 6. Let b be u(-6). Let y be (170/(-136))/((-2)/40). Suppose b*g = y*g + 35. Does 7 divide g? True Let b(s) = s**2 + 4*s + 2. Let f = 17 - 23. Let v be b(f). Let u(h) = 6*h - 14. Is u(v) a multiple of 14? True Suppose -2621 = -p - 2*y, p + 0*y - 2*y = 2649. Does 191 divide p? False Let b(u) = u**2 - u + 7. Let w be b(-2). Suppose 414 - 1428 = -w*c. Does 2 divide c? True Suppose -2 = k + 38. Let z = -56 - k. Let w(n) = 2*n**2 + 18*n + 22. Does 41 divide w(z)? True Let s = -215 - -94. Let b = s - -113. Let l = b + 54. Is l a multiple of 9? False Suppose -5308 = -c - 921. Is c a multiple of 94? False Let o(q) = -q**2 + 3*q - 80. Let n be o(20). Let g = n - -590. Is g a multiple of 6? False Let s(f) = 2*f + 1. Let q be s(-2). Let k(a) = -27*a**2 - 40*a - 59. Let n(r) = -18*r**2 - 27*r - 39. Let b(c) = -5*k(c) + 7*n(c). Does 5 divide b(q)? True Let j(n) = -42 + 22*n + 18 + 37. Let c be j(6). Suppose 142*s - c*s = -42. Does 3 divide s? False Let n(u) = 39*u**2 + 3*u + 6. Let d be n(-3). Suppose -14*w + 436 = -d. Is w a multiple of 7? True Let g(n) = -n**3 - 10*n**2 - 19*n - 82. Let o be g(-9). Suppose 12*u + 4*i = o*u + 1252, -3*i - 15 = 0. Is u a multiple of 6? True Suppose -2399012 + 744580 = -82*k. Does 194 divide k? True Suppose -5*n + 2*t + 114 = 0, -4*n - 5*t + 39 = -72. Let l = 34 - -82. Let p = l + n. Is 15 a factor of p? False Suppose -62*r = -38*r - 72. Suppose -2486 = -5*o - 4*k, -r*k + 581 - 75 = o. Is o a multiple of 72? False Suppose -3*o = 3*f - 7302, -16*o + 18*o = -f + 2432. Is f a multiple of 4? True Let y(z) be the second derivative of 62*z**3/3 + 11*z**2/2 - 45*z. Is y(1) a multiple of 9? True Let z(g) = -g**3 - 13*g**2 + 19*g + 50. Let p be z(-14). Is 104*(1/(-2))/(p/40) a multiple of 3? False Is 2233845/(-81)*9/(-15) a multiple of 47? False Let q = 41 - 43. Is 6 a factor of -5 + (-195)/(-30) - 153/q? True Let a(f) = -455*f - 3421. Is 21 a factor of a(-60)? False Let f(y) = 4*y**3 - 14*y**2 - 3*y. Let l(c) be the first derivative of c**4/4 - c**3/3 + c**2/2 - 27. Let t(h) = -f(h) + 5*l(h). Does 7 divide t(-7)? True Let v(z) = -3*z + 13. Let j be v(3). Suppose 20 = j*n, -4*n + 9*n - 16 = 3*r. Suppose 0 = 5*i - r*b + 3 - 897, -6 = 2*b. Does 24 divide i? False Does 201 divide (-24)/(((-238)/55811)/(3/7))? True Suppose 0 = 41*n - 36*n - 4*y - 417, -y = -5*n + 423. Does 17 divide n? True Suppose 5*r - 3*y = -4*y + 5, 4*r - 4 = -5*y. Let c be (((-330)/(-8))/r)/(11/44). Let k = c - 57. Is k a multiple of 32? False Let q = 2356 + -2087. Is q a multiple of 8? False Suppose -84*x + 199*x = 798560. Does 62 divide x? True Let m be (2 + (-8)/6)*(388 - -8). Let r = -43 - -82. Suppose r*n - m = 35*n. Is 22 a factor of n? True Suppose -21*z + 221733 = 33321. Does 9 divide z? False Suppose -9*q + 13*q + 120 = 0. Let d = -52 - q. Let m = 25 + d. Is m a multiple of 3? True Let r(c) = 2565*c - 3213. Is r(5) a multiple of 54? True Suppose 5*s + 0*s = 420. Let k = -88 + s. Is 63 + 35/14*k/(-10) a multiple of 16? True Let r = 7934 + 4781. Does 10 divide r? False Suppose 653057 = 66*i + 148619. Is i a multiple of 11? False Let g = 8 - 5. Let t = 224 + g. Is t a multiple of 41? False Suppose -2*c + 33*r = 30*r - 8094, -5*c - 2*r + 20254 = 0. Does 135 divide c? True Let f be 2/6*((2 - -32) + -1). Suppose 876 = f*h - 1687. Is h a multiple of 16? False Let w(r) = -6*r + 1060 - 2*r**3 - 17*r**2 - 3*r**3 - 1082 + 4*r**3. Is w(-17) a multiple of 10? True Let v = 3357 + -1888. Suppose 16*x = v + 3107. Is x a multiple of 13? True Let g be (-303)/(-33) + 2/(-11). Suppose 3*a + l = g + 1, -2*a + 9 = 3*l. Suppose -4*b - q = -160, 29 = 2*b - a*q - 51. Is b a multiple of 22? False Let c = 20322 - 1219. Is 32 a factor of c? False Suppose u - 1547 = -3*z, -4*z = -u + 953 + 580. Is u a multiple of 23? True Suppose 0*o = -o. Suppose o = v + 2 - 3. Does 17 divide (-60)/(-4 - -2) + v? False Suppose -v + b + 173 = -2*b, -4*v = -5*b - 713. Suppose -2*l + 0*l = -6, -2*p = 3*l - 597. Let s = p - v. Is s a multiple of 14? True Let a(r) = 112*r**2 - r + 2. Let l(m) = m**2 - 12*m + 37. Let f be l(7). Does 3 divide a(f)? False Suppose -119130 = -18*v - v. Does 5 divide v? True Suppose -3*m + 119 = -2*w, -5*m - 4*w + w + 211 = 0. Suppose 5*p = s + 1185, -m*s = -p - 37*s + 237. Is 6 a factor of p? False Suppose -6*i + 10408 = -8047 + 5495. Is 45 a factor of i? True Does 9 divide (-480593734)/(-21897) - 4/(-54)? False Let y(b) = 10*
{ "pile_set_name": "DM Mathematics" }
2 + 4*u + 2. Let v be y(-4). Suppose 3*q = 5*q + 3*o + 2, -5*q + 4*o + v = 0. Let d(l) = -2 + q + l. Give i(d(b)). b Let b(x) = 2*x + 3. Let q(i) = 44*i + 68. Let y(l) = -136*b(l) + 6*q(l). Let a(k) = -6*k. Give y(a(z)). 48*z Let b(s) = -4*s + 5. Let r(a) = 2*a - 3. Let x(j) = 3*b(j) + 5*r(j). Let n(q) = -q**2 + 0*q**2 + 7*q**2. Give x(n(c)). -12*c**2 Let h(n) = n - 79. Let t(i) = -290*i**2. What is h(t(a))? -290*a**2 - 79 Let p(q) = -93*q. Let k(n) = -26*n. What is k(p(i))? 2418*i Let a(h) = 2*h. Let t(k) be the second derivative of -k**7/1260 - k**4/3 - 3*k. Let u(f) be the third derivative of t(f). Give a(u(d)). -4*d**2 Let r(n) = 5*n. Let u(l) = -12*l - 11. Let j(p) = -3 - p + 3 - 1. Let d(z) = -22*j(z) + 2*u(z). What is r(d(b))? -10*b Let t(r) = -4*r. Let j(s) = -676*s. What is t(j(d))? 2704*d Let z(a) be the third derivative of a**5/60 + a**3/3 - 4*a**2. Let j(o) be the first derivative of z(o). Let m(t) = 4*t**2 - 2*t + 2*t. Calculate m(j(y)). 16*y**2 Let v(l) be the second derivative of 11*l**4/6 + 8*l. Let t(a) = a**2. Calculate v(t(r)). 22*r**4 Let j(d) = d. Let w(a) = a**2 - 10*a + 14. Let p be w(9). Let g(n) be the third derivative of 0*n + 0*n**4 - 1/60*n**p - n**2 + 0 + 0*n**3. What is g(j(v))? -v**2 Let f(n) = -10*n**2. Let a(y) = 57*y**2. What is a(f(l))? 5700*l**4 Let i(b) = 4*b**2 - 2*b. Let f(c) = 20*c**2 - 11*c. Let j(l) = 2*f(l) - 11*i(l). Let k(o) = -o**2. Determine j(k(n)). -4*n**4 Let s(p) be the third derivative of -p**5/30 - p**2. Let h(q) = q + 8. Let a be h(5). Let m(r) = -r - a + 13. Give s(m(c)). -2*c**2 Let g(r) = 4*r**2 - 6*r - 6. Let t(v) = -v**2 + v + 1. Let x(u) = -g(u) - 6*t(u). Let f(z) = -4*z**2. Determine x(f(n)). 32*n**4 Let z(u) = -3*u - 4. Let k(l) = l + 1. Let s(n) = 4*k(n) + z(n). Let d(r) = 25*r. Let o(q) = 12*q. Let x(c) = -6*d(c) + 13*o(c). What is s(x(y))? 6*y Let d(n) = 312*n**2. Let k(r) = r. Calculate d(k(s)). 312*s**2 Let u(x) = -9*x. Let i(v) be the second derivative of v**3/2 + v. Determine i(u(p)). -27*p Let v(d) = 8*d**2. Let m(s) = -11*s + 9. Let a(y) = 5*y - 4. Let z(n) = -9*a(n) - 4*m(n). Determine v(z(o)). 8*o**2 Let y(k) = 8*k**2. Let o(g) be the third derivative of 5*g**2 + 0*g**3 + 0*g - 1/60*g**5 + 0 + 0*g**4. What is y(o(j))? 8*j**4 Suppose 2*a - 42 = -4*h, -h - 29 = -4*a + 2*h. Let v(j) = 6 + 2*j + 5 - a. Let r(w) = -4*w. Give v(r(u)). -8*u Let d(t) be the third derivative of t**5/30 + 2*t**2. Let m(v) = -2*v + 7. Let p(k) = -k + 2. Let n(s) = -2*m(s) + 7*p(s). Give d(n(r)). 18*r**2 Let k(o) = 2*o. Suppose -5*y = -7*y + 4. Let q(f) = -17 + f**y + 17. Give q(k(u)). 4*u**2 Let v(l) = 2*l**2 + 142. Let z(s) = -4*s**2. Determine v(z(q)). 32*q**4 + 142 Let o(x) = -7870*x. Let h(y) = -y**2. Give h(o(g)). -61936900*g**2 Suppose -2*l - 12 = l. Let d(p) = p. Let z(x) = -3*x. Let v(t) = l*d(t) - z(t). Let f(w) = 4*w. What is f(v(b))? -4*b Let y(p) = -p**2. Let n(m) = -8*m**2 + 14. Let c(w) = -3*w**2 + 5. Let t(k) = 14*c(k) - 5*n(k). Give y(t(l)). -4*l**4 Let o(q) = 105*q + 15. Let j(z) = 15*z + 2. Let u(b) = -15*j(b) + 2*o(b). Let l(k) = -3*k**2. What is l(u(w))? -675*w**2 Let m(z) = z. Let q(u) = -2*u + 780. Calculate m(q(r)). -2*r + 780 Let x(k) = 3*k. Let t(h) be the third derivative of -h**4/8 + 5*h**2. Calculate x(t(q)). -9*q Let r(p) = -2*p. Let j(a) be the second derivative of a**5/40 - 5*a**3/6 - 3*a. Let m(i) be the second derivative of j(i). Calculate m(r(b)). -6*b Let h(u) = u**2. Let s(l) = -4214*l. Give s(h(q)). -4214*q**2 Let r(n) = -2*n**2. Let b(x) = 15678*x. What is b(r(t))? -31356*t**2 Let v(f) = 5*f**2. Let m(n) = -n**2 - 15*n - 14. Let h be m(-14). Let w(d) = -d + 3*d - d + h*d. Determine v(w(g)). 5*g**2 Let b(r) = -11*r**2 - 19. Let q(v) = -v. Calculate b(q(n)). -11*n**2 - 19 Suppose 21 + 11 = 5*f + 4*c, -3*f + 14 = 5*c. Let z(t) = t + 2*t + 8 - f. Let u(n) = 8*n. Calculate z(u(i)). 24*i Let i(j) be the first derivative of -5*j**2/2 - 1. Let k(x) = -x**2 + 3*x. Let r(v) = -v. Let m(t) = -k(t) - 3*r(t). What is i(m(h))? -5*h**2 Let y(n) = -n - 2*n + n - n. Let u(i) = 2*i - 2*i - 3*i + i. What is u(y(q))? 6*q Let t(n) = n**2 - 2*n**2 - 2*n**2. Let x(c) = c**2 + 3. Let z(l) = 2*l**2 + 4. Let s(d) = 4*x(d) - 3*z(d). What is t(s(q))? -12*q**4 Let q(p) = p. Let i(m) = -3 - 6 + 9 - m. Calculate q(i(b)). -b Let m(c) = 2*c**2. Let w(p) = -p. Let y be w(-8). Suppose 4*i + 3*r + 0*r = 20, 2*i = -r + y. Let o(f) = 0*f + 0*f + i*f. Give o(m(j)). 4*j**2 Let p(l) = -l. Let o(w) = -6. Let h(u) = o(u) + 5*p(u). Let n(s) = 11*s + 13. Let x(v) = -13*h(v) - 6*n(v). Let b(q) = q. Give x(b(t)). -t Let b(v) = -4*v. Let m(a) = -77*a - 56. Let k(g) = 14*g + 10. Let o(f) = 28*k(f) + 5*m(f). Calculate o(b(u)). -28*u Let t(h) be the second derivative of h**7/1260 + h**4/6 - h. Let x(b) be the third derivative of t(b). Let u(m) = -2*m. Calculate x(u(s)). 8*s**2 Let y(i) = -17*i - 13. Let k(f) = 4*f + 3. Let h = -13 - -7. Let t(b) = h*y(b) - 26*k(b). Let d(q) = -9*q**2. Determine t(d(n)). 18*n**2 Let z(o) be the third derivative of o**5/20 - 12*o**2. Let k(u) = 10*u**2. Give k(z(t)). 90*t**4 Let f(a) = 4*a. Let g(x) = 9*x. Let n(m) = -m**3 - 9*m**2 - 7*m - 6. Let b be n(-8). Let w(r) = b*f(r) + 6*g(r). Let t(d) = d - 4*d - d. Determine t(w(h)). 8*h Let k(v) = v**2. Let g(o) = -o - 5*o - o. What is k(g(y))? 49*y**2 Let v(z) = 89*z + 2. Let o(i) = -2*i**2. Determine o(v(b)). -15842*b**2 - 712*b - 8 Let s(f) = -7*f**2. Let u(d) be the first derivative of d**6/360 + d**3/3 + 1. Let m(y) be the third derivative of u(y). Calculate m(s(t)). 49*t**4 Let f(x) = -3*x. Let j(w) = 3*w**2 + 4. Let i(c) = 3*c**2 + 21 - c**2 + 3*c**2 + 10*c**2. Let n(h) = -4*i(h) + 21*j(h). Give n(f(g)). 27*g**2 Let h(k) = -k**2. Let m(i) be the third derivative of i**8/20160 - i**5/60 - i**2. Let l(y) be the third derivative of m(y). What is h(l(u))? -u**4 Let h(k) = -4*k**2. Let g(p) = -556*p. Determine g(h(s)). 2224*s**2 Let u(m) = -m + 3. Let k be 3/(-4)*2*-2. Let x(d) be the second derivative of -d**3/6 + d**2 + 2*d. Let a(r) = k*x(r) - 2*u(r). Let q(i) = -i. What is q(a(f))? f Let u(t) = -2*t**2. Let d(y) be the first derivative of -y**3 - 9. What is u(d(g))? -18*g**4 Let i(y) = 4*y**2. Let h(f) = -2*f**2 + 5. Suppose 0 = 6*a - 2*a + 20. Let n(c) = c**2 - 2. Let z(g) = a*n(g) - 2*h(g). Give z(i(p)). -16*p**4 Let l(k) = -k. Let y(c) = 44*c - 3. Calculate l(y(q)). -44*q + 3 Let u(z) be the second derivative of -z**4/12 - 13*z. Let q(b) = -23*b - 17. Let m(s) = -4*s - 3. Let g(a) = 34*m(a) - 6*q(a). Determine u(g(w)). -4*w**2 Let y(a) be the second derivative of a**7/2520 + a**4/12 + 3*a. Let w(h) be the third derivative of y(h). Let u(b) = -5*b. Calculate u(w(n)). -5*n**2 Let p(q) = -285 + 285 + 8*q. Let h(m) = -3*m**2 - 4*m - 4. Let l(v) = 2*v**2 + 3*v + 3. Let c = 8 + -11. Let x(f) = c*h(f) - 4*l(f). Calculate p(x(r)). 8*r**2 Let g(k) = -1703*k**2. Let n(i) = -i. What is n(g(p))? 1703*p**2 Let z(k) = -k. Suppose 0 = -5*h - 3*j - 27 - 7, -h + 2*j + 1 = 0. Let o be (h + 0)*16/(-40). Let q(f) = -f**2 + 2*f**o + f**2. Give z(q(x)). -2*x**2 Let p(u) = 3*u**2. Let y(b) be the third derivative of b**4/8 + 10*b**2. Calculate p(y(o)). 27*o**2 Let v(c) = c**2 + 2. Let f(r) = 9*r + 5. Let p(z) = -2*z - 1. Let w(k) = f(k) + 5*p(k). Give v(w(o)). o**2 + 2 Suppose q - 6 = -0*q. Let l be (-6 + 1)*q/(-5). Let y(p) = p**2 - l*p**2 + 4*p**2. Let g(z) = 2*z**2. What is y(g(d))? -4*d**4 Let m(b) = 11*b**2 + 2*b. Let z(w) = 45*w**2 + 9*w. Let f(x) = -27*m(x) + 6*z(x). Let y(g) = -2*g. Determine f(y(k)). -108*k**2 Let j(b) = 784*b**2. Let t(v) = 2*v**2. Calculate j(t(m)). 3136*m**4 Let y be (-2)/6 + 6/18. Let c(s) be the first derivative of 2/3*s**3 + y*s**2 + 3 + 0*s. Let i(a) = a. Give i(c(m)). 2*m**2 Let i(z) = 2*z**2. Let r(k) = -1411*k. Determine i(r(l)). 3981842*l**2 Let z(l) = 19*l. Let m(t) = 2*t**2 + 4*t. Let i(c) = c**2 + c. Let g(u) = -4*i(u) + m(u). Calculate z(g(j)). -38*j**2 Let v(m) = 144*m. Let o(g) = 11*g. Let p(k) = 27*o(k) - 2*v(k). Let z(s) = -4*s. Calculate z(p(j)). -36*j Let c(o) = -4*o**2. Let q(g) = 4*g - 5. Let n(l) = -8*l + 11. Let f(a) = 2*n(a) + 5*q(a). Let v(u) = -3*u + 2. Let i(h) = -2*f(h) - 3*v(h). Calculate c(i(p)). -4*p**2 Let a(o) = -2*o - 447. Let s(n) = 15*n**2. What is a(s(j))? -30*j**2 - 447 Let f(s)
{ "pile_set_name": "DM Mathematics" }
s**4/2 - 408*s**2. Calculate x(t(b)). -3456*b**2 Let f(u) = 148*u. Let m(r) = 91*r. Let l(a) = -8*f(a) + 13*m(a). Let i(x) = 2282*x**2. Calculate l(i(y)). -2282*y**2 Let b(v) = 60*v. Let i(a) = -8*a - 6. Let x(r) = -13*r - 10. Let j(g) = 5*i(g) - 3*x(g). Give b(j(s)). -60*s Let g(t) = -4*t - 26. Let c(p) = p**3 - 6*p**2 - p - 1. Let v be c(6). Let b be g(v). Let y(d) = -6660 + 6660 - d**b. Let k(r) = 40*r**2. Calculate k(y(l)). 40*l**4 Let y(x) = 4*x**2 + 8*x + 219. Let n(u) = 6*u**2 + 18*u + 419. Let c(s) = -4*n(s) + 9*y(s). Let t(o) = 2*o**2. Determine t(c(v)). 288*v**4 + 14160*v**2 + 174050 Let p(n) = 9*n**2 + 21*n + 11. Let z be (-2)/(-4) - 459/34. Let r be p(z). Let f(a) = 40*a - r + 1259. Let x(k) = -k. Give x(f(o)). -40*o Let n(h) = 3*h**2. Let w be -4 + 62 + -4 + 0. Let t(b) = 110 - w + 10*b - 56 + 5*b. What is n(t(c))? 675*c**2 Let l(a) = -6*a. Let p(c) = 156*c**2 + 1300*c - 3. What is p(l(v))? 5616*v**2 - 7800*v - 3 Let a(l) be the third derivative of 6*l**4 - 1901*l**2. Let m(k) = -14*k**2. Give m(a(w)). -290304*w**2 Let f = 3105 + -157. Let c(h) = h**2 - 1471 + f - 1477. Let n(b) = -74*b**2. Give n(c(r)). -74*r**4 Let w be (-164212)/(-6100) - -3*(-2)/(-75). Let f(b) be the first derivative of 0*b + 19/2*b**2 - w. Let v(o) = -o. What is v(f(c))? -19*c Let g(r) = -6*r**2 - 4 + 4. Let f(b) = -1277*b**2 - 1272*b**2 + 3834*b**2 - 1269*b**2. What is g(f(n))? -1536*n**4 Let v(i) = 9*i + 7. Let b(a) = -5 - 3 + 7 - 4*a - 2. Let c(r) = 7*b(r) + 3*v(r). Let k(d) = 22*d. What is c(k(p))? -22*p Let l(n) = -436*n + 5. Let m(q) = 8*q - 28. Give m(l(p)). -3488*p + 12 Let j(b) = 39*b. Let t(i) be the first derivative of i**2/2 - 7*i - 53. Let x(u) = 1. Let n(y) = 3*t(y) + 21*x(y). Calculate j(n(s)). 117*s Let g(y) = y**2. Let r(v) be the second derivative of 157*v**3/2 + v**2/2 - 8976*v. Give g(r(i)). 221841*i**2 + 942*i + 1 Let p(t) = -12*t**2 - 22. Let s(i) = 2*i**2 + 4. Let u(g) = -2*p(g) - 11*s(g). Let b(n) = 1271*n. Give b(u(q)). 2542*q**2 Let c(m) = -2*m. Let r(i) = -39*i - 8. Let d(s) = 3. Let j(b) = -13*b - 18. Let z(a) = 5*d(a) + j(a). Let o(w) = 4*r(w) - 11*z(w). Calculate o(c(n)). 26*n + 1 Let j(k) = 3*k**2 + k - 798. Let x(t) = 69*t + 2. Give j(x(a)). 14283*a**2 + 897*a - 784 Let t(v) = 103392773*v. Let c(i) = i. Calculate t(c(a)). 103392773*a Let v(n) = 12*n**2 - 932*n - 8. Let b(o) = 3*o + 23. Give b(v(p)). 36*p**2 - 2796*p - 1 Let s(r) = -2*r. Let n(o) = -222*o**2 + 340 + 336 + 338 - 1014. Determine n(s(l)). -888*l**2 Let i(c) = 14*c - 12. Let n(l) = -16*l + 14. Suppose -252 = -36*b - 0*b. Let p(y) = b*i(y) + 6*n(y). Let t(r) = 76*r**2. What is t(p(h))? 304*h**2 Let p(w) = -w. Let k(v) be the first derivative of v**2/2 - 1247*v + 636. What is p(k(a))? -a + 1247 Let x(y) = -17*y**2 - 36*y - 6. Let j(h) = -20*h**2 - 42*h - 7. Let l(k) = 6*j(k) - 7*x(k). Let i(p) = 18325*p. Calculate l(i(u)). -335805625*u**2 Let j(s) = -1039*s**2. Let f(i) = -656*i + 1963*i - 654*i + i**2 - 653*i. Calculate j(f(h)). -1039*h**4 Let c(h) = 10*h**2. Let m(i) = -2 - 5*i - 2507*i**2 + 2 + 2491*i**2. Let v(r) = -104*r**2 - 32*r. Let o(a) = -32*m(a) + 5*v(a). What is o(c(d))? -800*d**4 Let s(q) = -38*q**2. Suppose -b - 10 = 5*l, 5*b + 5*l + 4 = -6. Let c(w) = 11*w + b*w - 3*w**2 - 11*w. Calculate s(c(r)). -342*r**4 Let o(d) = 0 + 0 + 2 - 2 + 8*d. Let g(n) be the second derivative of n**4/6 - 52*n. Give o(g(u)). 16*u**2 Let k(l) = 1497*l**2. Let r(d) = d - 34. Let h(n) = 6*n - 187. Let g(c) = 4*h(c) - 22*r(c). Calculate k(g(y)). 5988*y**2 Let k(t) = -5*t - 4. Let n(b) = -64*b**2 + 80*b + 64. Let u(y) = -16*k(y) - n(y). Let s(r) = 46*r**2. Give s(u(g)). 188416*g**4 Let g(c) = 3*c**2 + 2*c + 3. Let y(o) = 2*o**2 - 6*o - 9. Let i(q) = 3*g(q) + y(q). Let j(f) = -38*f**2. Calculate j(i(x)). -4598*x**4 Let v(x) = 3*x**2 + 17*x. Let w(u) = 13*u**2 + 25. Let i(a) = 32*a**2 + 60. Let c(g) = 5*i(g) - 12*w(g). Determine v(c(t)). 48*t**4 + 68*t**2 Let f(h) = -2029349*h - 1. Let w(y) = -4*y. Calculate f(w(g)). 8117396*g - 1 Let p(s) = 24382*s - 8129*s - 8130*s - 8126*s. Let f(b) = -3*b**2 - 111*b. Give f(p(y)). -27*y**2 + 333*y Let s(m) = 143*m**2. Let w(t) be the first derivative of -22*t**3/3 + 4941. Calculate s(w(r)). 69212*r**4 Let s(z) = -2*z + 123126 - 123126. Let n(w) = -44*w - 7. Let h(a) = 86*a + 17. Let k(b) = -2*h(b) - 5*n(b). Give k(s(u)). -96*u + 1 Let g(c) = -1509*c**2. Let x(q) = 15043*q. Calculate x(g(y)). -22699887*y**2 Let r(u) be the second derivative of 0*u**2 - 45*u + 5/4*u**4 + 0*u**3 + 0. Let l(b) = 2*b. What is r(l(w))? 60*w**2 Let n(s) = 2*s**2 + 24. Let l(a) = 29289*a. Determine l(n(z)). 58578*z**2 + 702936 Let h(y) = 2*y. Let l(b) = 86*b**2 - 125605*b. Calculate h(l(d)). 172*d**2 - 251210*d Let f(x) = -2*x**2 + 909*x + 225. Let q(j) = -37*j - 2. What is q(f(y))? 74*y**2 - 33633*y - 8327 Let d(p) be the first derivative of 64*p**3/3 + 489. Let h(i) = -10*i. Determine d(h(m)). 6400*m**2 Suppose 1298194 = -47*v + 66*v. Let n(q) = -26*q + v - 2*q**2 - 68326. Let p(b) be the first derivative of -b**3/3 - 1. Determine p(n(t)). -4*t**4 - 104*t**3 - 676*t**2 Let m(d) = 2*d**2 + 71. Let x(g) be the first derivative of 3*g**2/2 + 602. Determine m(x(f)). 18*f**2 + 71 Let c(n) = 49*n + 8. Let f(j) = -98*j + 18. Let h(z) = 278*z - 51. Let l(k) = 17*f(k) + 6*h(k). Determine c(l(a)). 98*a + 8 Let b(s) = s + 32. Let u(q) = 1401*q + 29888. Let c(y) = 934*b(y) - u(y). Let i(v) = 4*v**2. Calculate c(i(z)). -1868*z**2 Let o(x) = -2*x**2. Let j(m) = 6448829*m**2 - 7*m. Calculate j(o(p)). 25795316*p**4 + 14*p**2 Let z(h) = 225305*h. Let r(i) = 4*i**2. Calculate r(z(p)). 203049372100*p**2 Suppose 323*j = 317*j + 3666. Let c(l) = -611*l**2 - j*l**2 + 1201*l**2. Let r(z) = -5*z**2. Determine c(r(b)). -525*b**4 Let d(a) = -5*a. Suppose -4*h - 2*i - 6 = 0, 4*h - 4*i - 18 - 6 = 0. Let f be (-3)/(h + -2 + 0 + 0). Let k(t) = -f*t**2 + 8*t**2 - t**2. Calculate d(k(p)). -20*p**2 Let c(s) = -3*s. Let v(m) = 9*m + 11. Let h(j) = 7*j - 11*j + 11*j + 14*j + 31 + 4*j. Let t(z) = 3*h(z) - 8*v(z). Determine c(t(d)). -9*d - 15 Let x(j) = -2*j**2. Let h(m) be the first derivative of 13*m**2/2 + 32*m - 1197. Determine x(h(f)). -338*f**2 - 1664*f - 2048 Let i(n) = -7*n + 10. Let c(x) = 2764*x + 12 - 1384*x - 1388*x. Let s(w) = -5*c(w) + 6*i(w). Let t(l) = 27*l**2. What is s(t(h))? -54*h**2 Let p(z) = 39620400*z**2. Let x(b) = 9*b. Calculate p(x(n)). 3209252400*n**2 Let d(c) = -63 + 28 + 35 - c. Let i(j) be the first derivative of 239*j**2/2 + j + 2. Calculate d(i(o)). -239*o - 1 Suppose 0 = 1414*f - 1429*f. Let k(i) be the third derivative of 21*i**2 + 7/6*i**4 + 0*i + 0 + f*i**3. Let b(s) = -s. What is k(b(t))? -28*t Let n(h) = -22*h**2. Let t(v) = -14634*v + 13. What is t(n(o))? 321948*o**2 + 13 Let n(r) = -21*r**2. Let i(k) be the first derivative of 156 + 0*k + 0*k**2 + 2/3*k**3. Calculate n(i(w)). -84*w**4 Let z(m) = -1097768*m. Let p(h) = 16*h. Give z(p(n)). -17564288*n Let m(g) = 2*g. Let h(q) = -2643267*q - 3. Determine m(h(x)). -5286534*x - 6 Let g(q) = 2*q + 40066827. Let p(w) = w. Give p(g(o)). 2*o + 40066827 Let h(v) = -v**2. Suppose 5*z = 575*p - 579*p + 6, 2*p - 8 = -5*z. Let o(y) be the first derivative of 0*y - 8 - 17/2*y**z. What is o(h(l))? 17*l**2 Let k(j) = -20*j + 8. Let v(l) = 51*l - 20. Let q(o) = 5*k(o) + 2*v(o). Let i(n) = -4*n - 118. Give i(q(c)). -8*c - 118 Let p(d) = 57*d**2. Let u(g) = -7535247*g. What is u(p(q))? -429509079*q**2 Let w(t) = -t - 11. Let m(o) = -1114052*o. Determine m(w(p)). 1114052*p + 12254572 Let f(v) = 7*v**2. Suppose -5*n + 25 = 5*q, 3*n = -5*q + n + 16. Let a be q/((1/(-2))/((-3)/6)). Let i(h) = 9*h**2 + 0*h**2 - 12*h**a. What is f(i(d))? 63*d**4 Let d(o) = 2*o**2 - 4*o**2 - 2*o**2. Let p(v) be the second derivative of v**3 + 1426*v. What is p(d(s))? -24*s**2 Let p(y) = 81*y - 14*y - 68*y. Let a(x) = -30*x**2 + 8*x. Calculate a(p(r)). -30*r**2 - 8*r Let c(r) = 70*r**2 - 533*r - 11. Let i(b) = b. Calculate i(c(m)). 70*m**2 - 533*m - 11 Let h(m) = 8*m. Let f be 7 - (-8*(-4)/8 + 3). Let y(l) be the second derivative of -14*l - 1/4*l**4 + 0 + f*l**3 + 0*l**2. Determine h(y(d)). -24*d**2 Let v(c) = 113*c + 1. Let j(y) = -129333*y. Determine j(v(b)). -14614629*b - 129333 Let m(h) = 3450944*h. Let x(g) = 3*g. Give m(x(s)). 10352832*s Let i(
{ "pile_set_name": "DM Mathematics" }
et a = -21 + n. List the prime factors of a. 2, 3 Let r(x) = 9*x**3 - x**2 - x. Let o be r(-1). Let n = o + 11. List the prime factors of n. 2 Suppose -5 = -2*y + 3. Let p = y - 1. What are the prime factors of p? 3 Let j be 2/(-7) - 222/(-42). Suppose -j*w + 2*w = 0. Suppose w = l - 5*r + 2, -l - 46 = -6*l - 3*r. List the prime factors of l. 2 Let c(w) = -45*w. Let m be c(-5). Suppose -5*j + m - 55 = 0. What are the prime factors of j? 2, 17 Let j be (87 - 3)/(2/(-2)). Let i = j + 130. Let w = i - 33. List the prime factors of w. 13 Let i(h) = -h**2 - 5*h + 7. Let n be i(-6). Let v = -8 - n. Let f = 17 + v. List the prime factors of f. 2 Let u be (-2 - 6)/(-4) - -1. Suppose w - 4*v + 7 = 0, u*w - 64 = 4*v - 9*v. What are the prime factors of w? 13 Suppose 2*x + 12 = 4*h, -4 = -3*h - 5*x + 5. Let v be (40 - (0 + -3)) + -2. Suppose 0 = -3*r + 4*j + v, 46 = -0*r + h*r - 5*j. What are the prime factors of r? 7 Let i be ((-26)/(-3))/(4/(-6)). Suppose 4*q = f, f - 2*q - 2 = 3*q. Let d = f - i. What are the prime factors of d? 5 Suppose 5*b + 23 = 3*u - 17, u + 4*b + 15 = 0. Let z be (-2)/(0 - (-3)/(-60)). Suppose -u*p + 55 = -4*w, 3*p - z = -p + 4*w. List the prime factors of p. 3, 5 Let z = 11 + -4. Let q = 7 - z. Suppose -5*x - 2*o - o + 85 = q, -5*x = -2*o - 85. What are the prime factors of x? 17 Let x be (0*(-2)/(-4))/(-2). Suppose x = -0*r - r. Suppose r*n + 2*n = 6. List the prime factors of n. 3 Suppose -6*g + 7*g - 12 = 0. List the prime factors of g. 2, 3 Let b = -86 - -169. List the prime factors of b. 83 Let p = 3 + 16. Let v = p - -11. What are the prime factors of v? 2, 3, 5 Suppose -5*l = 4*f + 7, l + 3*f = 4*f - 5. Let c(r) be the third derivative of r**5/20 + r**4/8 - r**3/3 + 2*r**2. List the prime factors of c(l). 2 Suppose -4*g + 8*g + 36 = 0. Let h be -3 - -3*6/g. Let m(a) = -3*a. What are the prime factors of m(h)? 3, 5 Let r(d) = -d**2. Let n(s) = -3*s**2 - 9*s - 3. Let j(x) = n(x) - 4*r(x). Let o be j(7). Let b = o - -31. List the prime factors of b. 2, 7 Let f = -56 - -101. Suppose -o + 35 = 5*j, -5*o - 2*j + 38 = -f. What are the prime factors of o? 3, 5 Let w(g) = -g**3 - 10*g**2 - g - 14. Let r be w(-10). Let x = 0 - r. What are the prime factors of x? 2 Suppose -w - 6 = -5*m - 71, m = 5*w - 229. What are the prime factors of w? 3, 5 Suppose 3*b - 126 - 39 = 0. What are the prime factors of b? 5, 11 Let n(t) = -t**3 - 3*t**2 - 5*t - 5. Let y(o) = o**3 + 4*o**2 + 5*o + 4. Let k(x) = 2*n(x) + 3*y(x). List the prime factors of k(-5). 2 Let n(u) = u - 2. Let j = 0 + 5. Let a be n(j). Let l(q) = 5*q. What are the prime factors of l(a)? 3, 5 Let n be (-3 - -1)/(2/(-4)). Let d = n + -2. Suppose -d*l = -5*p + 30, 0 = 5*p - 4*l - 2 - 18. What are the prime factors of p? 2 Let b(d) = d**3 + 2*d**2 - d + 3. What are the prime factors of b(3)? 3, 5 Let k(m) = -6*m + 16. What are the prime factors of k(-8)? 2 Suppose -3*x - 75 = -0*x. Let f = 36 + x. What are the prime factors of f? 11 Let c(r) = r + 2 + 5 + r - 5. List the prime factors of c(2). 2, 3 Suppose 5*l - 939 = -224. List the prime factors of l. 11, 13 Let i be ((-70)/25)/(2/(-10)). Suppose -4*l + 2*l + i = 0. List the prime factors of l. 7 Let b(p) = -3*p + p + 3*p. Let y(c) = c**2 - c - 3. Let h be y(-3). List the prime factors of b(h). 3 Let a = 10 + -10. Suppose -22 = -4*m - 5*l - a, -3*l + 6 = 0. What are the prime factors of m? 3 Let w = 12 + 7. List the prime factors of w. 19 Let t = -10 + 14. Suppose 57 = -t*f + 7*f. List the prime factors of f. 19 Let v(r) = 79*r**2 + r. Let l be v(1). What are the prime factors of 6/(l/(-44) + 2)? 3, 11 Let m be (-3)/12 + 3/12. Let p = m + 0. Suppose -h + 2 + p = 0. What are the prime factors of h? 2 Let y(x) be the first derivative of 3*x**2/2 - 2*x + 4. Let c be y(-2). Let m = c + 18. What are the prime factors of m? 2, 5 Let t = 2 + -1. What are the prime factors of (t - 0)/((-7)/(-28))? 2 Let i = -11 - -15. Suppose 4*c - 15 = i*k - 3*k, 3*c - 4*k - 21 = 0. What are the prime factors of c? 3 Let x = -39 - -57. What are the prime factors of x? 2, 3 Let n = 6 + -2. What are the prime factors of n? 2 Let y = 13 - 7. What are the prime factors of y? 2, 3 Suppose -j - 2*f - 9 = -4, 4*f = j - 25. Let i = j + -5. Suppose l - 4 = z, -2*l + 0*z - 2*z + 24 = i. What are the prime factors of l? 2 Suppose 5*t + 4*b - 57 = 0, 8*t - 3*t - 5*b - 30 = 0. Suppose -t = -0*g - 3*g. Suppose 2*j + 3 = g*u, 3*u + u = -j + 15. List the prime factors of j. 3 Suppose 30 = 5*t + 10, -532 = -4*s + 2*t. List the prime factors of s. 3, 5 Suppose -70 = -3*f + 29. What are the prime factors of f? 3, 11 Suppose -3*o - l - 19 = 63, 0 = -2*o + 2*l - 52. Suppose -j + 5*j = -5*y - 183, 5*j + 213 = -y. Let m = o - j. List the prime factors of m. 3, 5 Suppose 0*o = -4*o + 320. What are the prime factors of o? 2, 5 Suppose -4*q + 5*q = 20. What are the prime factors of q? 2, 5 Suppose -6*m = -3*m - 57. List the prime factors of m. 19 Let f(t) = -5*t - 2. Let d be f(-6). Let s = d + -12. What are the prime factors of s? 2 Suppose -32 = -5*r + 2*o, r + o = 4*r - 19. Suppose r*x = x + 190. List the prime factors of x. 2, 19 Let m = -160 - -274. List the prime factors of m. 2, 3, 19 Suppose 0 = -4*n + 4*l + 568, 3*n + 0*l = -4*l + 419. List the prime factors of n. 3, 47 Suppose 3*j - 170 = 37. What are the prime factors of j? 3, 23 Suppose 5*d - 9*d = -24. Suppose 0 = 2*s - 5*m + 18, -2*m - 45 = s + 4*s. Let o = d - s. List the prime factors of o. 3, 5 Suppose s - 60 = 6*s. Let a = 3 - s. What are the prime factors of a? 3, 5 Suppose 5*k - 12 = 188. List the prime factors of k. 2, 5 Let f = 13 - 11. Suppose a - f*a = -34. List the prime factors of a. 2, 17 Suppose -4*l = 2*c - 16, 5*c - 3*l - 2 = -1. Suppose -5*t = -4*w - 46, -5*t = -c*w - 39 + 1. What are the prime factors of t? 2, 3 Let z = -2 - -2. Suppose -4*m + 29 + 24 = -a, z = -3*a - 3. List the prime factors of m. 13 Suppose 22*z - 20*z - 390 = 0. List the prime factors of z. 3, 5, 13 Let l be (-2 - (-10)/4)*-2. Let i be l/(-1 - (-2)/4). Suppose -o + 6*o - 3*m = 82, i*o = -5*m + 39. What are the prime factors of o? 17 List the prime factors of 49 - (-1 + 0 + (1 - 4)). 53 Let r(o) = o**3 + 6*o**2 - o - 4. Let x be r(-6). List the prime factors of x/4 - (-44)/8. 2, 3 Let t = -13 - -18. Suppose -5 = -2*g + t. List the prime factors of g. 5 Let f be (1 + 1)*(-1 - 0). List the prime factors of 756/45 + f/(-10). 17 Let y(o) = -2*o**3 - 3*o**2 + 2. Let c = -2 - 0. What are the prime factors of y(c)? 2, 3 Let p(n) = n**3 - 11*n**2 - 11*n - 15. Let i = -7 + 19. Let s be p(i). Let m = s + 18. What are the prime factors of m? 3, 5 Let v = -201 + 296. List the prime factors of v. 5, 19 Suppose 5*u + 47 = 3*m, -2*m + 4*m - 5*u - 28 = 0. What are the prime factors of m? 19 Suppose k + 3*z = 30, 5*k + 4*z + 62 = 234. What are the prime factors of (-30)/9*k/(-5)? 2, 3 Suppose -3*u + 2*h + 11 + 10 = 0, 5*u - 5*h = 35. What are the prime factors of u? 7 Let k = 141 - -61. What are the prime factors of k? 2, 101 Let x = 0 - -3. Suppose -2*j + 5*y = -16, 2 + 4 = -x*y. Suppose -2*s - 47 = -5*w - 3*s, -j*w = -s - 33. What are the prime factors of w? 2, 5 Let k(g) = 3*g - 1. Let m = -8 + 18. What are the prime factors of k(m)? 29 Let t = 32 - 7. List the prime factors of t. 5 Let o(z) be the third derivative of z**6/120 - z**5/30 + z**4/6 - z**3/3 - 4*z**2. Let c be o(2). List the prime factors of ((-55)/15)/((-2)/c). 11 Let a = 457 + -55. List the prime factors of a. 2, 3, 67 List the prime factors of 76/20 + 2/10. 2 Let a = -24 + 24. Suppose 3*v - 140 - 13 = a. List the prime factors of v. 3, 17 Let y = 80 - 21. List the prime factors of y. 59 Let p(r) = 10*r**2 + 4*r - 3. Let k(g) = -30*g**2 - 11*g + 8. Let q(l) = -4*k(l) - 11*p(l). What are the prime factors of q(1)? 11 Suppose v - 176 = -v. Let q(p) = -p**2 - 5*p. Let l be q(-4). What are the prime factors of (1/2)/(l/v)? 11 Suppose 15 + 9 = 3*s. What are the prime factors of s? 2 Suppose -7*m + 260 = -3*m. Let s = m + -31. Suppose -2*l + 3*i - i = -18, 0 = 4*l - 2*i - s. What are the prime factors of l? 2 Suppose -w = 0, 5*t - 2*w = 302 - 12. List the prime factors of t. 2, 29 Suppose -39 = -7*p + 4*p. List the prime factors of p. 13 Suppose -2*m = 5*r - 401, 0*m + 5*r = 2*
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
*d + 14 = -2*x + 3*x, 2*d = -4*x. Let j be (1/x)/((-30)/50). Which is the third biggest value? (a) j (b) -2 (c) 2/7 b Let f = -5 - 3. Let z = -11 - f. Let n be 2/4 + (-4)/40. Which is the biggest value? (a) z (b) n (c) 1/2 c Let s be 12/8*4/(-21). Which is the biggest value? (a) -2 (b) s (c) 5 c Let y = 0.21 - 1.21. What is the third biggest value in 4, y, 0.3? y Let s be (2/6)/((-2)/(-12)). Suppose c - s = -0*c. What is the smallest value in 2/3, c, 0.5? 0.5 Let k = 0.9 - -3.1. Let h = k - 3.8. Let y = -0.7 + h. What is the smallest value in y, 3, -5? -5 Let x = -1.2 + 0.2. Suppose 2*o = 4*j + 34, -4*j + j - 1 = 2*o. Let i = 5 - o. What is the second smallest value in i, 0.3, x? x Suppose -11 = h + 2*o, 2*h - 7*o + 2*o - 5 = 0. Which is the third biggest value? (a) h (b) -3 (c) -2 a Let x(s) = -10*s. Let p be x(-6). Let k be (-95)/p - (-2)/6. Which is the biggest value? (a) k (b) 4 (c) -3 b Let n = -0.12 + 13.12. Let k = 13.7 - n. Let r = 1 - k. Which is the second smallest value? (a) r (b) 0.1 (c) 3/4 a Let o be ((-4)/(-28))/(3/(-9)). Let h(r) = -r**3 + 4*r**2 - 2*r - 2. Let t be h(3). Let w = 0 + 0.4. Which is the smallest value? (a) t (b) w (c) o c Let n = -0.4 + 0.2. Let t = 7 - 4. Which is the third smallest value? (a) n (b) t (c) 4 c Let y = 10 + -7. Let d = 0.1 + 1.9. Which is the biggest value? (a) d (b) y (c) 0 b Let h = -9 + 11. Which is the third smallest value? (a) h (b) -0.5 (c) -1 a Let k = 27 + -24. Let x = k - 2. Let v = -1 - -0.8. What is the smallest value in 5, v, x? v Let s = 8.84 - 9. Let n = -0.06 - s. Let r = -1 - 0. Which is the third biggest value? (a) n (b) r (c) 4 b Let x = -1.2 + 6.2. What is the second biggest value in x, 0.2, -2/7? 0.2 Let x = -1.99 + 2. Let u = 0.41 - x. What is the third smallest value in -0.5, 1, u? 1 Let g be (-1)/(-5) + (-34)/70. What is the third biggest value in 3.1, g, -4? -4 Let k be 8/18*(-885)/(-10). Let p = 40 - k. Which is the smallest value? (a) 1 (b) 4/7 (c) p b Let p = -4 - -6. Which is the third smallest value? (a) -0.041 (b) 0.2 (c) p c Let z = -22.9 - -22. Let u = z - -3.9. Which is the biggest value? (a) u (b) 5 (c) -2 b Let l = -0.38 - -0.08. Let g = 1.3 + -0.3. Let d = -1 + 1. Which is the biggest value? (a) g (b) l (c) d a Let o be ((-9)/(-6))/(3/(-4)). Let l be (-28)/13 - 4/o. Which is the third biggest value? (a) l (b) 2 (c) -2 c Let f = -0.91 + 0.11. Let p = f - -2.8. Which is the second smallest value? (a) 0.4 (b) -0.4 (c) p a Let u = 0.6 + -0.6. Let j = u + 0.1. Which is the smallest value? (a) -1 (b) j (c) -4/5 a Let v = -5 + 6. Let l be (3/4)/((-27)/24). What is the third biggest value in l, 0, v? l Let w = 1.1 - 6.1. Let f be 1/(-1)*(-141)/(-47). Which is the second biggest value? (a) f (b) w (c) 0 a Let i = -12 - -7. Let y = 4 + i. Which is the second smallest value? (a) -5 (b) -1/5 (c) y c Let v = 0.07 - 0.05. Let q = v + -0.02. What is the second smallest value in q, 5, 1? 1 Let j be (-14)/4 + (1 - (-12)/(-8)). Which is the smallest value? (a) -1 (b) 1/14 (c) j c Let q = 1.4 + -4.4. Which is the smallest value? (a) 0.23 (b) 1/6 (c) q c Let q = -13 - -15. Let x = -0.9 + -0.1. Let n = q + x. What is the third smallest value in n, -2/3, 2? 2 Let o = -31.5 + 32. Suppose 0 = -2*h - 2*x + 2, 2*h - 5*h - x = -1. Let r be (-3)/6*(h - 0). Which is the biggest value? (a) 1 (b) o (c) r a Let r = 43.9 + -44. Which is the biggest value? (a) r (b) 1.7 (c) 5 c Let u(h) = h**3 - h**2 + h + 32. Let k be u(0). Suppose q + 3*y - 3 = 4*q, -4*q - k = 3*y. Which is the third smallest value? (a) -0.5 (b) q (c) 4 c Let x = 1 - -2. Let n = 0.37 + -0.07. Let p = 0.04 - -4.96. Which is the third smallest value? (a) p (b) n (c) x a Let g = -53 + 64. What is the smallest value in -5, g, -0.3? -5 Let i = 30 - 30.1. Let h = -4 + 3.9. Let t = h + 0.2. Which is the second biggest value? (a) i (b) t (c) -1 a Let o = -3.6 + 0.6. Let f(n) = n**2 - 2*n - 8. Let x be f(-6). Suppose -4*p - 5*t + t - x = 0, 5*t + 45 = -4*p. What is the smallest value in o, -2/7, p? p Let j = -62 - -61. What is the second biggest value in -1.1, 0.2, j, 2/15? 2/15 Let z be (-96)/(-70) - (-20)/(-25). Which is the smallest value? (a) 8 (b) -1/6 (c) z b Let n = -0.9 + 0.7. Which is the biggest value? (a) 0 (b) -3/4 (c) n a Let x = -134/5 - -27. Suppose 4*h = -0*h + 80. Suppose 5*k + v + 20 = 0, -5*v + h = -2*k - 3*v. Which is the third biggest value? (a) 4 (b) x (c) k c Let z = -6 - -8. Let g = -2 + z. Let w = -3 - g. Which is the smallest value? (a) 2/3 (b) -2/23 (c) w c Let g(d) = -d**3 - 3*d**2 + 2. Let m be g(-3). Suppose 2*q - 2 = -4*p - 0, p = -q + m. Which is the smallest value? (a) 5 (b) 2/5 (c) p c Let y = -10/11 - -7/44. Which is the fourth smallest value? (a) 0.5 (b) 2/7 (c) y (d) -4 a Let m = -25/17 + 1492/1003. Let w = m - -115/177. Let h(k) = -3*k**3 + k + 1. Let f be h(-1). What is the second smallest value in w, 0.5, f? w Let t(x) = -11*x + 9*x + 4*x. Let w be t(1). Which is the second smallest value? (a) -3 (b) w (c) 0.1 c Let w = 0.06 - -1.94. Let r = 2.6 + w. Let o = -0.4 - r. Which is the second biggest value? (a) o (b) -0.2 (c) 1 b Let w = 2.6 + -0.6. Let n be 16/88 + -25*3/231. What is the third biggest value in w, -4/7, n? -4/7 Let y = -7 + 7.2. Let i = -7/50 + -9/650. Which is the second biggest value? (a) -1/9 (b) y (c) i a Let v = -1.66 + 1.8. Let g = 3.86 + v. What is the smallest value in g, -0.2, -2/11? -0.2 Let m = -0.02 + -0.18. Let q = m - -0.6. Which is the second smallest value? (a) 1/2 (b) 4/3 (c) q a Let i = 22 - 21.8. What is the third smallest value in i, 5, 0? 5 Let z = -2 + 1.8. Let d = 116 - 1042/9. Let w be (-4)/(-8) - 38/60. What is the second smallest value in z, w, d? w Let t = -4.9 + 21.9. Which is the third biggest value? (a) 0.1 (b) -2/11 (c) t b Let z = -19 + 23.8. Let x = z - -0.2. Which is the third smallest value? (a) -1/11 (b) x (c) -0.3 b Let t(y) = -y**2 + 9*y - 10. Let v be t(7). What is the second smallest value in 7, v, -0.3? v Let q = -16 + 9. Let k = q - -4. Let o = 0 + -4. Which is the second biggest value? (a) 4 (b) o (c) k c Let w be 60/27*(-15)/40. Let i = -7.06 + 7. What is the third biggest value in w, 1, i? w Let m = -2.6 + 3. Let t = 2 + -2.1. Which is the third biggest value? (a) t (b) m (c) -0.3 c Let z = 55/3 - 217/12. What is the third smallest value in 1, 0.5, z? 1 Let h = -0.061 + -0.039. Which is the second biggest value? (a) 1 (b) -2 (c) h (d) 12 a Let s(n) = -n**3 + 8*n**2 + 8*n + 12. Let h be s(9). What is the second biggest value in h, 2, -2? 2 Suppose 0 = -3*x - 2*x - 3*u - 151, -49 = 2*x + 5*u. Let f = x - -65/2. Which is the third biggest value? (a) 2 (b) f (c) 0.2 c Let k = 0.17 + -0.2. Let r = k + 0.33. Which is the smallest value? (a) r (b) 4 (c) -1/8 c Let d be (-15)/28 - (-2)/7. Let q be (-2 - -1) + -5 + 1. Let c(b) = b**3 + 4*b**2 - 6*b - 6. Let r be c(q). What is the biggest value in r, d, 2? 2 Let w = -20 - -15. Let q = 0.8 - 0.3. Which is the second biggest value? (a) q (b) 0.2 (c) w b Let w = 25/8 + -739/24. Let u = w - -27. Which is the third biggest value? (a) u (b) -3 (c) -2/5 b Let t = 1181/9 + -131. Which is the third biggest value? (a) 2/15 (b) -0.5 (c) t b Suppose y + 3 = -3*y + 3*m, 4*m = -2*y - 18. Which is the smallest value? (a) y (b) 3 (c) -2 a Let p be 33/(-12) + (-6)/(-8). Let r = 0.5 + -3.5. Let b = 5 + -9. What is the smallest value in b, p, r? b Let t(d) = d**3 + 4*d**2 - 6*d. Let h be t(-5). Which is the second smallest value? (a) -0.4 (b) 4 (c) h b Let g = 10 + -10.1. Which is the smallest value? (a) g (b) 2/11 (c) 2/3 a Let u = 1.43 + -1.3. Let t = 6.87 + u. Let a = t - 4. What is the second smallest value in 2/9, -0.3, a? 2/9 Let w = 6 + -4. Let g = w + 1. Which is the third smallest value? (a) -4 (b) -1/3 (c) g c Let z = 3 + -3.5. Let n = -1 - z. Suppose 0 = -0*v - v - 5*y, 2*y = -2*v + 8. Which is the third biggest value? (a) v (b) 0.4 (c) n c Let u = -59 - -5. Let v = u + 54.51. Let x = v + -0.01. Which is the smallest value? (a) -1/3 (b) -1 (c) x b Let x be 6/5 - (-12)/(-9). What is the smallest value in 0.5, x, -0.6? -0.6 Let x = 1.4 + -2. Let z
{ "pile_set_name": "DM Mathematics" }
-5*r + 81 + 164, 4*r + j = 191. Let q(y) = 25 + y - r + 23. Let n(i) = -10*i. Determine q(n(d)). -10*d Let g(a) = -2990*a + 1. Let z(d) = -13*d**2 + d. Determine g(z(h)). 38870*h**2 - 2990*h + 1 Let d(r) = -370*r. Let j(x) = 34*x**2 + 7. Give d(j(p)). -12580*p**2 - 2590 Let w(p) = -3*p**2. Let u be ((-5)/(-3) - 1)/(4/(-6)). Let m(r) = -r**2 + r. Let v(z) = 30*z**2 - 24*z. Let b(g) = u*v(g) - 24*m(g). What is w(b(c))? -108*c**4 Let m(p) = 28*p. Let c(f) = -136*f**2 - f + 5. Calculate m(c(a)). -3808*a**2 - 28*a + 140 Let k(p) be the first derivative of -2*p**3/3 - 19. Let h(j) = -j - 5. Let i(g) = -4*g - 16. Let d(f) = -16*h(f) + 5*i(f). Determine k(d(t)). -32*t**2 Let m = -15 + 21. Let p(f) = f. Let a(z) = 2*z. Let r(k) = m*p(k) - a(k). Let j(b) = -b + 6. Let s(d) = -2*d + 9. Let v(y) = 3*j(y) - 2*s(y). Determine v(r(h)). 4*h Let y(l) = 15*l. Let o(f) = -400 + 209 + 191 + 8*f. Determine y(o(w)). 120*w Let o(x) = x. Let v(u) = 91*u. Give v(o(f)). 91*f Let f(q) = 17*q**2. Let m = -10 + 12. Suppose 3*i - 8 = -m. Let r(w) = -6*w**2 + 3*w**2 + 2*w**2 + 2*w**i. Determine f(r(z)). 17*z**4 Let g(k) = 228*k**2. Let r(m) = 3*m**2. Determine g(r(x)). 2052*x**4 Let k(v) = -10*v. Let t(a) be the third derivative of -1/60*a**5 + 8*a**2 + 0*a**3 + 0 + 0*a + 0*a**4. Determine t(k(w)). -100*w**2 Let n(y) = 7*y**2. Let r be (-2)/4*(-26033 + 9). Let m(k) = 13012 + 2*k**2 - r. Give m(n(g)). 98*g**4 Let m(o) = 0*o + 4*o + 5*o. Let t(h) = -710 - h**2 + 710. Calculate t(m(y)). -81*y**2 Let l(y) = -7614*y. Let h(q) = -6*q. Give h(l(s)). 45684*s Let d(i) = 29*i**2. Let n(z) = 12*z**2 + 49. Calculate n(d(p)). 10092*p**4 + 49 Let l(i) = -7*i. Let v(n) = 87*n**2 - 4*n - 8. Give l(v(d)). -609*d**2 + 28*d + 56 Let u(a) = 6*a**2 - 3385*a - 2. Let z(t) = -3*t**2. Give u(z(w)). 54*w**4 + 10155*w**2 - 2 Suppose -2*y - 5*z = -4 - 29, -2*z = 5*y - 51. Let u = 115 - 16. Let l(x) = y*x - 99 + u. Let m(b) = b**2. Determine m(l(s)). 81*s**2 Let f(w) = 29*w**2 - 12*w. Let t(v) = -v**2 + 24. What is f(t(g))? 29*g**4 - 1380*g**2 + 16416 Let o(u) be the second derivative of -1/6*u**3 + 4*u + 0 + 0*u**2. Let n(z) = -27*z. Let i(r) = 13*r. Let k(s) = -9*i(s) - 4*n(s). Determine o(k(d)). 9*d Let s(q) = -q. Let o(n) = -121*n**2 + 66. Determine s(o(c)). 121*c**2 - 66 Let j(p) = 24*p**2. Let q(r) be the second derivative of 0 + 0*r**2 - 2/3*r**3 + 50*r. Calculate j(q(g)). 384*g**2 Let q(v) = -5*v**2. Let r(g) = 4*g**2 + 3182*g - 2. Calculate r(q(d)). 100*d**4 - 15910*d**2 - 2 Let u(q) = -31*q - 1. Let k(d) be the second derivative of -5*d**4/12 + 43*d. What is u(k(l))? 155*l**2 - 1 Let l(w) = -3*w. Let d(y) = -y + 6665. Calculate l(d(j)). 3*j - 19995 Suppose 8*b + 8 = 12*b. Let f(m) be the first derivative of 0*m - 1 + 1/2*m**b. Let i(x) = 10*x**2. What is i(f(y))? 10*y**2 Let z(i) = 6*i. Let y(s) be the third derivative of s**4/8 + s**3/3 + 23*s**2. Let k(o) = -3*o - 3. Let q(v) = -2*k(v) - 3*y(v). Determine q(z(g)). -18*g Let z(h) be the third derivative of 5*h**4/12 + 446*h**2. Let r(u) be the first derivative of 2 + 0*u + 1/2*u**2. What is z(r(j))? 10*j Let v(y) = 2*y**2 + 10*y. Let b(c) = 11*c - 6. Give v(b(f)). 242*f**2 - 154*f + 12 Let a(h) be the third derivative of h**5/20 - h**2. Let b(p) = 101*p**2 - 45*p**2 - 62*p**2. Calculate a(b(u)). 108*u**4 Let n(f) = 2*f. Let z(t) = -10*t. Let l(o) = 5*o. Let v(w) = 7*l(w) + 3*z(w). Let g(s) = 4*s. Let c(y) = -3*g(y) + 2*v(y). Determine c(n(a)). -4*a Let d(c) = 8*c. Let n(h) = -18*h**2 - 5. Let m(a) = -98*a**2 - 28. Let z(r) = 5*m(r) - 28*n(r). Calculate d(z(o)). 112*o**2 Let s(r) = 56*r**2. Let z(g) = 850*g**2. Calculate s(z(x)). 40460000*x**4 Let h(n) be the first derivative of 0*n**2 + 2*n**2 - 4 + 12. Let a(s) = -6*s. Calculate h(a(m)). -24*m Let b(m) = 34*m - 23 + 23. Let x(u) be the first derivative of -u**2/2 - 125. Calculate x(b(d)). -34*d Let f(b) be the third derivative of b**4/12 - 39*b**2. Let d(l) = -4*l**2. What is f(d(w))? -8*w**2 Let g(r) be the third derivative of r**4/24 + r**2. Let d(n) = -81*n - 36. Let u(c) = -23*c - 10. Let o(y) = 5*d(y) - 18*u(y). Calculate g(o(x)). 9*x Let j(i) = 478*i. Let r(l) be the second derivative of l**4/6 + 7*l - 2. What is r(j(o))? 456968*o**2 Let o(s) = -4*s**2 + 9. Let w(u) = -3*u**2 + 123*u - 57*u - 66*u. Give w(o(f)). -48*f**4 + 216*f**2 - 243 Let x(u) = u. Let c = 1183/1779 - -1/593. Let j(l) be the second derivative of 0 + 9*l - c*l**3 + 0*l**2. Determine j(x(i)). -4*i Suppose -3*f = -0*f - 54. Let w(d) = -18 - d + f. Let t(a) = 0*a**2 + 3*a**2 - a**2. Calculate w(t(v)). -2*v**2 Let d(q) = -74*q. Let t(k) = -11*k**2 + 10*k**2 + 2*k**2. Give d(t(p)). -74*p**2 Let u(b) = -11*b - 66. Let g(r) = -1. Let h(x) = -66*g(x) + u(x). Let d(i) = 10*i**2. What is h(d(o))? -110*o**2 Let t(k) = 3*k**2 + 15*k - 4. Let w(q) = -q**2 - q + 1. Let y(l) = -t(l) - 4*w(l). Let j(m) = -2*m. Calculate y(j(x)). 4*x**2 + 22*x Let i(t) = 47*t**2. Let j(c) = -50*c + 147*c - 49*c - 46*c. Calculate j(i(f)). 94*f**2 Let o(p) = -6*p. Let c(x) = 2*x**3 - 5*x**2 - 7*x - 1. Let f = 18 + -13. Let l be c(f). Let u(h) = -89 + l + h. Calculate o(u(w)). -6*w Let i(y) = 6*y. Let k(p) = 15*p + 2206. Calculate i(k(r)). 90*r + 13236 Let y(x) = -16*x**2. Let m(o) be the first derivative of o**3/6 - 28*o + 23. Let v(s) be the first derivative of m(s). Give v(y(z)). -16*z**2 Let c(n) = -20*n**2. Let p(s) = -6513*s. What is p(c(j))? 130260*j**2 Let b(c) = -3*c**2 - 10*c. Let q(t) be the first derivative of -2*t**3/3 + 523. Give q(b(k)). -18*k**4 - 120*k**3 - 200*k**2 Let y(n) = 16*n. Let w(q) be the first derivative of 2*q**2 + 37. Calculate y(w(u)). 64*u Let r be 10/50 + (-98)/(-10). Suppose 2*g - r = -3*g. Let o(c) = 0*c**2 + 11*c**g - 3*c**2. Let x(j) = j. Determine x(o(u)). 8*u**2 Let r(m) = 7*m - 6. Let g(z) = -20*z + 17. Let c(l) = -6*g(l) - 17*r(l). Suppose -13*t + 304 = -11*t. Let w(k) = -t - 6*k + 2*k + 152. Calculate w(c(h)). -4*h Let g(t) = -17*t**2 + 25*t**2 - 11*t**2. Let d(h) = h. Let s(i) be the second derivative of -i**3/3 + 8*i. Let q(b) = -4*d(b) - s(b). Give q(g(x)). 6*x**2 Let j(w) = 2*w**2. Let x(b) be the first derivative of -29*b**3/3 - 192. Give j(x(y)). 1682*y**4 Let c(r) be the third derivative of r**4/12 - r**2. Let b(y) be the first derivative of 1/3*y**3 + 0*y + 0*y**2 - 14. Give b(c(i)). 4*i**2 Let u(o) = -o. Let p(f) = -15*f**2 + 860*f - 860*f - f**2. Calculate u(p(t)). 16*t**2 Let m(q) = -21*q**2 - q. Let u(d) = d**2 - 200. What is m(u(s))? -21*s**4 + 8399*s**2 - 839800 Let v(i) be the first derivative of -2*i**3/3 - 2. Let o(f) be the second derivative of 0*f**2 + 0 + 1/6*f**3 - 16*f. What is o(v(d))? -2*d**2 Let j(q) = -22*q - 78. Let w(p) = 78*p**2. Calculate w(j(d)). 37752*d**2 + 267696*d + 474552 Let v(d) = d. Let x(m) = -7*m**2 + 6*m. Let z(c) = -9*c**2 + 6*c. Let j(w) = 3*x(w) - 2*z(w). What is j(v(r))? -3*r**2 + 6*r Let r(f) = -4*f**2. Let i(c) be the second derivative of 295*c**4/12 - 425*c. Give r(i(a)). -348100*a**4 Let b(f) = -4*f. Let c(t) = 15*t**2 + 3*t. Let d(l) = 24*l**2 + 2*l - 1. Let m(a) = 2*c(a) - 3*d(a). Calculate m(b(q)). -672*q**2 + 3 Let a(k) = 10*k + 1. Let f(p) = -7*p. Let s(m) = m. Let r(b) = -f(b) - 6*s(b). What is a(r(c))? 10*c + 1 Let i(h) = 2*h. Suppose -5*g = -3*t + 12, -3*t - 3*g + 10 = -2. Suppose t + 0 = 2*s. Let w(n) = 3*n**2 - 2*n**s - 4*n**2. Calculate i(w(c)). -6*c**2 Let b(y) = 2*y + 1. Let d(w) = 4*w + 3. Let k(i) = 7*b(i) - 4*d(i). Let c(a) = 3*a. Calculate k(c(f)). -6*f - 5 Let c(d) = 6*d**2. Let q(i) = -68*i**2 - 21*i**2 + 33*i**2. What is c(q(o))? 18816*o**4 Let m(h) = 150*h. Let f(s) = -2107*s. Determine f(m(v)). -316050*v Let s(i) = -i. Let b(j) = j**2 - 1. Let l(x) = 6*x**2 - 271*x - 4. Let f(o) = -4*b(o) + l(o). Give s(f(h)). -2*h**2 + 271*h Let o(j) = j + 18. Let h(a) = -11*a - 94. Let n(z) = h(z) + 5*o(z). Let f(x) = 4*x**2. Determine n(f(r)). -24*r**2 - 4 Suppose -75 = -4*r - 3*y, 2*y - 1 = 1. Let s(k) = -6*k + r*k + 7 - 7. Let g(b) = -4*b**2. Determine g(s(i)). -576*i**2 Let g(t) = -t. Let m(j) = -3*j**2 + 10*j - 1. Let n be m(3). Let w(k) = 61 + 1 - 21 - n*k. What is g(w(y))? 2*y - 41 Let p(k) = -674*k**2 - 11. Let t(d) = 135*d**2 + 2. Let u(z) = -2*p(z) - 11*t(z). Let w(r) = -2*r**2. Calculate u(w(m)). -548*m**4 Let r(o) = -24*o**2. Let n(f) =
{ "pile_set_name": "DM Mathematics" }
at is the second derivative of y(p) wrt p? -6*p Let l(c) = 4 - 6 + 3 + 5*c**3 + 3 + 7*c. Let h(v) = v**3 + v + 1. Let r(k) = 4*h(k) - l(k). Find the second derivative of r(t) wrt t. -6*t Let c be (-2)/(-5) + 90/25. Differentiate -3 - 3 + c + 0 + 3*x**2 with respect to x. 6*x Find the third derivative of 310*i**3 + 2*i**2 - 295*i**3 - 6*i**2 wrt i. 90 Differentiate -54*w**2 + w**2 - 10*w**2 - 17 + 6*w**2 with respect to w. -114*w Let u = -9 + 8. Let y(t) = -2*t. Let o be y(u). What is the second derivative of r**5 + 3*r**5 - 3*r - o*r**5 wrt r? 40*r**3 Let u(g) be the third derivative of 3*g**7/70 - g**3/6 + 14*g**2. Differentiate u(d) wrt d. 36*d**3 Let b(i) be the third derivative of -3*i**6/40 - 2*i**5/15 - 8*i**2. What is the third derivative of b(m) wrt m? -54 Let k(i) be the first derivative of 0*i**4 + 2/7*i**7 + 0*i**2 + 7 + 0*i**6 + 1/3*i**3 + 0*i**5 + 0*i. Find the third derivative of k(u) wrt u. 240*u**3 Differentiate -5*f + 19*f + 39 + 0*f with respect to f. 14 Let d = -1 + 4. Let j(b) be the first derivative of -11*b**2/2 + 3*b - 1. Let r(t) = -5*t + 1. Let c(k) = d*j(k) - 7*r(k). What is the derivative of c(z) wrt z? 2 Let u = 10 + -6. Suppose u*x = 2*x + 6. Find the third derivative of -r**5 + 4*r**2 - 3*r**5 - 5*r**2 - x*r**2 wrt r. -240*r**2 What is the third derivative of 7*t**5 + 0*t**5 - 5*t**5 - t**2 wrt t? 120*t**2 Let l = -11 + 17. Let g be 3 - (l/3)/2. Differentiate -f**4 - 1 - 5*f**g + 5*f**2 wrt f. -4*f**3 Suppose -2*p + 3 = 4*g - 3, 4*g = -p + 7. What is the third derivative of m**2 + 0*m**2 - 5*m**g + 2*m**4 - 5*m**4 wrt m? -72*m What is the derivative of -15*i**2 - 5 - 3 - 10 wrt i? -30*i Find the first derivative of 6 - 13*y + 12 + 19*y wrt y. 6 Let o(w) be the third derivative of -w**7/840 - w**4/12 + w**3/6 - 3*w**2. Let q(p) be the first derivative of o(p). Find the first derivative of q(z) wrt z. -3*z**2 What is the second derivative of 2*b**4 + 16*b**5 + 4*b - 2*b**4 + 0*b**4 wrt b? 320*b**3 Suppose 0 = 2*l + 1 - 7. Find the third derivative of h**2 + 3*h + 0*h**2 - l*h + h**3 wrt h. 6 Let r(f) be the first derivative of 0*f + 4 + 1/2*f**2 + 2*f**3. What is the second derivative of r(k) wrt k? 12 What is the derivative of 6 - 11*a - 11*a + 13 + 9*a wrt a? -13 Let b = 92 - 92. Let s(i) be the second derivative of 2/15*i**6 + 0*i**4 + 0*i**5 + b + 1/2*i**2 + 0*i**3 + 4*i. Differentiate s(x) with respect to x. 16*x**3 Differentiate -5 + 11 - 5*w + 10*w with respect to w. 5 Let v(n) be the second derivative of 3*n**5/4 + 25*n**3/6 + 2*n. What is the second derivative of v(m) wrt m? 90*m Let y(z) be the third derivative of 1/2*z**3 + 0*z**5 - 2*z**2 + 0*z + 0*z**6 + 0 + 1/210*z**7 + 0*z**4. Find the first derivative of y(m) wrt m. 4*m**3 Suppose 4*q = -0*b + 5*b - 21, -9 = 3*b + 3*q. Let y = b - -3. Find the second derivative of -m + m**3 + 3*m**y - m**3 - m wrt m. 36*m**2 Suppose -3*a + 50 = 2*a. Suppose -4*z + a = z. Find the second derivative of -6*f + 4*f - 4*f**z + 3*f**2 wrt f. -2 Let d(c) = -4*c**2 - 5*c. Let u(p) = -5*p**2 - 5*p. Let s(h) = 3*d(h) - 4*u(h). Find the second derivative of s(k) wrt k. 16 Let z(u) = u**4 + u**3 - u**2 - u - 1. Let k(p) = -8*p**4 - 2*p**3 + 2*p**2 + 2*p + 10. Let l(i) = -k(i) - 2*z(i). Find the first derivative of l(b) wrt b. 24*b**3 Let u be 1*4/16*0. Let k(f) be the first derivative of -2 + u*f**2 - 1/4*f**4 + 0*f - 1/3*f**3. What is the third derivative of k(h) wrt h? -6 Let z = -21 - -34. Let a = z + -9. What is the second derivative of x + 3*x**a - x**4 - 5*x**4 wrt x? -36*x**2 Let f(w) be the second derivative of -5/12*w**4 + 0 + 0*w**2 - 2*w - 1/6*w**3. Find the second derivative of f(t) wrt t. -10 Let w(v) be the second derivative of -17*v**5/20 + 2*v**4/3 - 11*v. What is the third derivative of w(j) wrt j? -102 Let m(l) = 7*l**4 - 14*l + 4. Let y(g) = 6*g**4 - 14*g + 3. Let w(x) = -4*m(x) + 5*y(x). Differentiate w(n) wrt n. 8*n**3 - 14 Suppose -3*q + 9 = 3. Find the third derivative of 2*u**5 - 3*u**5 + u**q - u**5 wrt u. -120*u**2 Let k(j) be the third derivative of j**8/1120 + j**6/120 + j**4/4 - 3*j**2. Let p(w) be the second derivative of k(w). Find the second derivative of p(i) wrt i. 36*i Let d(b) be the third derivative of -4*b**5/15 + b**3/2 - b**2. Find the first derivative of d(j) wrt j. -32*j Let v(c) be the first derivative of 2 + 0*c**2 - 5/3*c**3 + 4*c. What is the first derivative of v(s) wrt s? -10*s Let k be 0/(3/1) + -2. Let y(f) = -f**3 - f**2 + 1. Let l(d) = 3*d**6 + 2*d**3 - 2. Let q(w) = k*y(w) - l(w). Find the third derivative of q(n) wrt n. -360*n**3 Let l(i) = i**2 - 7*i - 5. Let z(b) = b**2 - 7*b - 10. Let h be z(9). Let d be l(h). What is the third derivative of 2*s - s**d - 2*s + 2*s**2 wrt s? -6 What is the first derivative of 47*p**4 + 4 - 2 - 62*p**4 wrt p? -60*p**3 Let z(j) = 3*j**3 + 5*j**2 + 5*j + 9. Let q(s) = 5*s**3 + 7*s**2 + 7*s + 14. Let g(a) = 5*q(a) - 7*z(a). Find the first derivative of g(k) wrt k. 12*k**2 Let r(v) = 11*v**3 - 6*v + 8. Let l(c) = -c + 1. Let y(t) = -6*l(t) + r(t). What is the derivative of y(w) wrt w? 33*w**2 Let g(s) be the first derivative of -s**6/24 + s**4/24 - 4*s**2 - 4. Let l(j) be the second derivative of g(j). Find the second derivative of l(o) wrt o. -30*o What is the third derivative of 1669*j + 6 + 68*j**3 + j**2 + 9 - 1669*j wrt j? 408 Find the first derivative of 8*w - 21*w + 20*w - 2 wrt w. 7 Suppose 5*c = 3*k + 40, k = 5*c + 4*k - 10. Let g be (-20)/8*(-6)/c. What is the derivative of -2*h**3 - 2*h**3 + 2*h**g - 1 wrt h? -6*h**2 What is the third derivative of -a**4 + 2*a**2 + 3*a**2 + a**2 wrt a? -24*a Let j(f) be the first derivative of -3*f**5 + 9*f - 14. What is the derivative of j(v) wrt v? -60*v**3 Let m(o) = 2*o - 2. Let z be m(3). Find the third derivative of 6*j**2 - 52*j + 2*j**z + 52*j wrt j. 48*j Let s(x) = -5*x**3 - 20*x**2 - 11. Suppose 3*z - 4*z = -2. Let a(m) = -m**3 - 4*m**2 - 2. Let b(g) = z*s(g) - 11*a(g). Find the third derivative of b(v) wrt v. 6 What is the third derivative of 4*c**3 + 9 - 9 - 6*c**2 wrt c? 24 Let d(q) be the second derivative of -q + 0 + 0*q**3 + 0*q**5 + 0*q**6 + 1/6*q**4 + 0*q**2 + 1/42*q**7. What is the third derivative of d(n) wrt n? 60*n**2 Let r(i) be the first derivative of -i**3 + 0*i + 0*i**4 + 1/3*i**6 + 0*i**2 + 0*i**5 + 2. Find the third derivative of r(j) wrt j. 120*j**2 Let f(w) = w**2 - w + 2. Let y be f(2). What is the third derivative of 36*r**3 - 36*r**3 - y*r**2 + r**2 - 3*r**4 wrt r? -72*r Find the second derivative of -3*w - 4*w + 5*w**4 - 13*w**4 + w**4 wrt w. -84*w**2 Let o(s) = 2*s**4 + 4*s**2 + 3. Let q(n) = -6*n**4 - 11*n**2 - 8. Let v(f) = -11*o(f) - 4*q(f). What is the first derivative of v(t) wrt t? 8*t**3 Suppose 0 = -5*x + 15, -3*x - 7 = -2*h - 4*x. Differentiate 6*g**3 + 39*g**2 - 7 - 39*g**h wrt g. 18*g**2 Let d = 2 - -1. Suppose -d*j - 2*j + 25 = 0. What is the second derivative of -j*s - 2*s**5 + 2*s + 2*s wrt s? -40*s**3 What is the second derivative of 2 - 2 - 95*a - 9*a**2 + 79*a wrt a? -18 Let i(y) = 9*y**2 - 3*y + 14. Let n(c) = -17*c**2 + 5*c - 27. Let h(l) = 5*i(l) + 3*n(l). Differentiate h(w) wrt w. -12*w Let u be (8/20 - (-54)/15)/2. Let s(o) be the first derivative of 1/2*o**4 + 0*o + 0*o**3 - 3 - 1/2*o**u. Find the second derivative of s(t) wrt t. 12*t Find the third derivative of 25*m**3 - 8*m**3 - 13*m**5 - 7*m**3 - 7*m**3 + 43*m**2 wrt m. -780*m**2 + 18 Let i(d) be the third derivative of 0 + 0*d + 0*d**3 - 3*d**2 + 0*d**4 + 1/15*d**5 - 1/24*d**6. Find the third derivative of i(q) wrt q. -30 Let s(d) be the second derivative of 8*d**5/5 - 3*d**2 + 19*d. Differentiate s(a) with respect to a. 96*a**2 Let n = 9 - 5. Find the third derivative of n*l + l**2 - 3*l + 2*l**5 - l wrt l. 120*l**2 Find the third derivative of -9*i**5 - 6*i**2 + 14*i**2 + 2*i**2 wrt i. -540*i**2 Find the second derivative of 13*p**2 + 0*p**2 + p + 9*p**2 - 5*p**2 wrt p. 34 Let c(j) = 14*j**4 - 3*j**2 - 4*j. Let u(d) = 29*d**4 - 7*d**2 - 7*d. Let x(i) = -7*c(i) + 4*u(i). What is the third derivative of x(a) wrt a? 432*a Let q(c) be the third derivative of 13*c**8/336 + 3*c**4/8 - 13*c**2. Find the second derivative of q(r) wrt r. 260*r**3 What is the third derivative of 9*f**2 + 9*f**2 + 43*f**5 - 40*f**5 wrt f? 180*f**2 Let t(j) = -
{ "pile_set_name": "DM Mathematics" }
. Determine p(k(v)). 90*v**2 Let h be 21/7*4/6. Let p(m) = 2*m**2 - m**2 + 0*m**2 - 2*m**h. Let i(r) = 2*r. Give p(i(d)). -4*d**2 Let i be ((-3)/(-6))/((-2)/(-20)). Let w(j) = 9 - 9 - i*j. Let h(x) = -2*x**2. Calculate h(w(y)). -50*y**2 Let i(c) = 6*c. Let f(r) be the third derivative of -5*r**4/24 - 35*r**2. What is f(i(j))? -30*j Let w(a) = -6*a. Let q(g) = 2*g**2 + 5. Let b(c) = -3*c**2 - 8. Let r(l) = -5*b(l) - 8*q(l). Determine r(w(x)). -36*x**2 Let g(q) = 3*q + 2 - 2. Let z(o) = -o + 6. Let m(i) = i - 5. Let p(u) = 6*m(u) + 5*z(u). Give p(g(x)). 3*x Let y(l) be the third derivative of -l**5/60 - 2*l**2. Let s(a) be the third derivative of -11*a**4/24 + 4*a**2. What is s(y(x))? 11*x**2 Let s(h) = 49*h**2. Let r(u) = u. What is s(r(i))? 49*i**2 Let c(q) = 3*q. Let u(j) be the second derivative of -j**5/60 + j**3/2 + 3*j. Let y(x) be the second derivative of u(x). Determine y(c(n)). -6*n Let b(z) = -13 + 13 - z. Let d(n) = -3 + 3 - 5*n**2. Calculate b(d(g)). 5*g**2 Let s(f) = -2*f. Let m(q) be the third derivative of 61*q**4/24 + 3*q**2 + 12. Determine m(s(a)). -122*a Let s(x) = 7*x - 6. Let h(w) = 2*w**2. Calculate h(s(g)). 98*g**2 - 168*g + 72 Let m(n) = -28*n**2 - 23*n**2 + 53*n**2. Let k(p) = 18*p**2. What is k(m(i))? 72*i**4 Let r(s) = 28*s**2. Let l(x) = -2*x + 196 + 0*x - 196. Determine l(r(a)). -56*a**2 Let g(r) be the third derivative of -r**5/30 + r**2. Let k(z) = 4*z + 5. Suppose 5*d = -7 - 23. Let y(x) = -5*x - 6. Let s(o) = d*k(o) - 5*y(o). Give s(g(n)). -2*n**2 Let a(l) = l**2 + l**2 + 0*l**2 - l**2. Suppose 4*j = 5*i + 10, -3*j - 3*i = 2*i + 10. Let z(v) = v - v - v + j. Give z(a(t)). -t**2 Let a(d) = -6*d + 3*d + d. Let j(v) = -4*v. Calculate j(a(u)). 8*u Let w(f) be the third derivative of f**4/8 + 11*f**2. Let q(h) = 20*h**2. What is q(w(p))? 180*p**2 Let m(g) be the first derivative of -g**2 + 2. Let d(p) = -3*p + 0 + 2*p + 0. Give d(m(o)). 2*o Let w(h) = -h**2 - 11428*h + 11428*h. Let l(m) = 16*m. Calculate l(w(f)). -16*f**2 Let m(k) = -4*k. Let t(w) = -4*w**2 + 9. Let s(f) = -f**2 + 2. Let p(l) = -18*s(l) + 4*t(l). Determine p(m(b)). 32*b**2 Let o(y) = -221 + 221 - y. Let k(d) = -d**2. Determine o(k(q)). q**2 Suppose -3*l = 5 + 55. Let n be (l/15)/((-2)/3). Let u(s) = -2 + s + 2*s + n. Let v(x) = x. What is v(u(a))? 3*a Let w(x) = 2*x. Let a(o) be the first derivative of -o**3/3 + 9. Determine w(a(r)). -2*r**2 Let h(k) = 3*k**2 + 0*k**2 - 4*k**2. Let n = -5 + 7. Let z(c) = 2 + 0*c - 2 - n*c. What is h(z(v))? -4*v**2 Let s(n) = -3*n - 4. Let r(c) = -c**2. What is r(s(k))? -9*k**2 - 24*k - 16 Let n(r) = 5*r**2 - 32*r - 1. Let u(h) = -3*h**2. What is n(u(d))? 45*d**4 + 96*d**2 - 1 Suppose -z + 0*z + 3*b + 8 = 0, 2*z + 4*b + 4 = 0. Let a(w) = 10 + 2*w**z - 10. Let j(k) = k - 4. Let y(m) = m - 3. Let t(x) = 3*j(x) - 4*y(x). Give t(a(n)). -2*n**2 Let p(v) = 2*v**2. Let b be ((-14)/(-35))/((-1)/(-10)). Let c = b + 2. Let n(u) = 6 - 6 + c*u**2. Determine n(p(h)). 24*h**4 Let c(q) = 4*q + 5. Let v(l) = -5*l - 6. Let j(w) = 6*c(w) + 5*v(w). Let d(n) = 7*n**2. What is d(j(s))? 7*s**2 Let d(u) = 45*u**2 - 35 - 35 + 70. Let n(t) = 3*t**2. Determine n(d(s)). 6075*s**4 Let p(c) = -24*c**2. Let u(r) be the third derivative of r**4/12 + 11*r**2. Give p(u(m)). -96*m**2 Let p = 13 - 11. Let x(b) = 0 + 0 - 5*b**2 + 6*b**p. Let l(g) = 3*g. Give l(x(m)). 3*m**2 Let n(p) = 273*p. Let o(z) = 5*z**2. Calculate n(o(i)). 1365*i**2 Let v(h) = -7*h. Let t = 24 + -22. Let m(c) = c**2 - 1 - 1 + t. What is m(v(g))? 49*g**2 Let c(s) be the second derivative of s**3/6 + 4*s. Let w(o) = 10*o**2. What is w(c(b))? 10*b**2 Let t(u) = -14056*u + 2. Let z(l) = -2*l**2. Calculate t(z(s)). 28112*s**2 + 2 Let u(f) = -f. Let b(o) = 6*o - o + 22*o. Give b(u(v)). -27*v Let j be (-52)/(-16) - 1/4. Let u(x) = -2*x - 3*x + j*x. Let h(s) = -3*s**2. What is h(u(t))? -12*t**2 Let h(x) = x + 5*x - x. Let g(l) = l**2 + 2*l + 2. Let q = 8 - 6. Let p(z) = 4*z**2 + 7*z + 7. Let j(c) = q*p(c) - 7*g(c). Calculate j(h(w)). 25*w**2 Let t(r) = 9*r**2 + 3*r. Let u(p) = 10*p. Determine t(u(n)). 900*n**2 + 30*n Let c(y) be the first derivative of 2*y**3/3 + 8. Let l(z) = -15*z**2. What is c(l(a))? 450*a**4 Let x(m) = m**2. Suppose 0 = -5*l - u + 3*u + 4, -8 = 2*l + 4*u. Let s = l + 0. Let y(w) = -w + 0*w + s*w. Calculate x(y(h)). h**2 Let y(b) = -5*b. Let d(t) = 715*t**2 + 2*t + 2. Determine y(d(n)). -3575*n**2 - 10*n - 10 Let p(m) = m**2. Suppose 18 = 3*o - 3*s, -2*s + 14 = 2*o + 2. Let b(y) = 1. Let i(w) = 2*w**2 - 6. Let t(r) = o*b(r) + i(r). Determine p(t(j)). 4*j**4 Let q(o) = 7*o. Let f(b) = b + 31. Give f(q(v)). 7*v + 31 Suppose 0 = 2*u - u. Suppose 0 = -4*b + 20, u*b = -3*i - 3*b + 27. Let v(y) = -1 + 1 - i*y + 5*y. Let a(l) = -3*l. Give a(v(w)). -3*w Let m(o) = -5*o**2 + 2*o + 2. Let q(f) = -189*f**2 + 77*f + 77. Let p(i) = 77*m(i) - 2*q(i). Let a(b) = 2*b**2. Give p(a(t)). -28*t**4 Let z(s) = 2*s. Let j(v) be the first derivative of 4 + 0*v + 1/2*v**2. Calculate j(z(c)). 2*c Let a(y) = 4*y**2 + 2*y**2 - 4*y**2. Let p(x) = 8*x**2. Give p(a(v)). 32*v**4 Suppose 4 = -4*l - 0*l + 4*m, 5 = l + m. Let z(o) = -5*o + 2*o**l + 5*o. Let k(a) be the third derivative of a**5/20 + a**2. What is k(z(c))? 12*c**4 Let g(l) = -5*l**2 + 11*l + 11. Let y(t) = -t**2 + 2*t + 2. Let q(u) = -2*g(u) + 11*y(u). Let i(d) be the second derivative of 2*d**4/3 - d. Calculate i(q(b)). 8*b**4 Let o(k) = -k**2 + 13*k. Let z(v) = -3*v. Let j(w) = -6*o(w) - 26*z(w). Let s(l) be the first derivative of l**3 + 6. What is s(j(x))? 108*x**4 Let t(u) = 2*u. Let a(x) = 2*x + 25 + 16 - 7 - 10. Calculate t(a(s)). 4*s + 48 Let w(z) = -2*z. Let m(t) be the third derivative of 0 - 7*t**2 + 0*t + 0*t**3 - 1/6*t**4. What is w(m(r))? 8*r Let q(v) = -3*v**2. Let l(f) be the first derivative of 7*f**5/120 + 5*f**3/3 - 3. Let r(x) be the third derivative of l(x). Determine r(q(z)). -21*z**2 Let m(v) = 5*v + 9*v**2 - 5*v - 6*v**2. Let a(r) = 6*r**2. What is a(m(i))? 54*i**4 Let x(k) = 5*k. Let s(f) = -23*f**2. Determine x(s(b)). -115*b**2 Let q(d) = -3*d**2 + d**2 + 5*d**2. Let r(z) = -z**2. Determine q(r(p)). 3*p**4 Let l(c) = 291*c**2 - 4. Let a(y) = y**2. Determine l(a(z)). 291*z**4 - 4 Let h(n) = n**2. Let t(u) = 112*u - 55*u - 55*u. Give h(t(i)). 4*i**2 Let r(z) = -z**2 - 2*z - 15. Let a(p) = -p. Determine r(a(g)). -g**2 + 2*g - 15 Let q(n) be the first derivative of 3/2*n**2 + 2 + 0*n. Let i(l) = -3*l. Determine q(i(g)). -9*g Let c(p) be the first derivative of -p**3/3 + 7. Let a(b) = 6*b**2. Give c(a(k)). -36*k**4 Let l(a) = 7*a**2. Let t(h) = 1. Let n(g) = -g**2 - 6. Let r(o) = n(o) + 6*t(o). Determine l(r(c)). 7*c**4 Let t(f) = -3*f**2. Let o(j) = 21. Let q(p) = 4. Let y(b) = -2*o(b) + 11*q(b). Let a(r) = 3*r - 2*r + 3 - 2*r. Let m(h) = 2*a(h) - 3*y(h). Calculate t(m(i)). -12*i**2 Let u(j) = -4*j + 7. Let s(a) = -a + 2. Let d(l) = -7*s(l) + 2*u(l). Let k(m) = -2*m + 6 - m - 4*m. Let v(h) = -h + 1. Let z(p) = k(p) - 6*v(p). Give d(z(b)). b Let v(x) be the first derivative of 21*x**2/2 + 7. Let m(s) = -s. Give v(m(d)). -21*d Let q(x) = 5*x - 3*x - 4*x. Let f(g) be the third derivative of g**7/2520 + g**4/8 + 2*g**2. Let u(b) be the second derivative of f(b). Calculate u(q(y)). 4*y**2 Let t(g) = 2*g**2 + 13*g. Let q(o) be the third derivative of o**5/60 + o**4/4 + o**2. Let i(j) = -13*q(j) + 6*t(j). Let h(w) = w**2. What is i(h(x))? -x**4 Let y(u) be the second derivative of 0*u**3 + 3*u + 0*u**2 + 1/12*u**4 + 0. Let n(h) = h. What is y(n(p))? p**2 Let b(g) = 3*g. Let w(k) = 5895*k - 5895*k - 27*k**2. Give b(w(o)). -81*o**2 Let r(t) = 2*t**2 - 6*t. Let g(b) = -5*b**2 + 14*b. Let s(f) = -3*g(f) - 7*r(f). Let i(l) = -26*l**2. What is s(i(m))? 676*m**4 Let j(v) = 4*v. Suppose -2*z = -4*g + 24, -4*g + g + 18 = 2*z. Let i(q) = -4*q - 6. Let k(x) = -1 - 4*x - 4 + x. Let r(p) = g*k(p) - 5*i(p). What is j(r(m))? 8*m Let n(h) be the first derivative of -h**3 + 2. Let t(o) = -3*o - 13. Let x be t(-6). Let u(i) = -x + i**2 + i**2 + 5. What is n(u(r))? -12*r**4 Let t(c) = 3*c + 3*c - c. Let j be (-28)/(-12) - 4/(-6). Let m(k) = j*k**2 - 3*k**2 - k**2. Give t(m(l)). -5*l**2 Suppose 0 = t + 3*c + 1, -2*t - 3*c = 2*c + 1. Let l(r) = 5*r**t - 5*r**2 + 2*r**2. Let p(q) be the second derivative of -q**4/12 - 2*q. Give l(p(a)). 2*a*
{ "pile_set_name": "DM Mathematics" }
equence rzz when three letters picked without replacement from rzzzrzzrzqzrrzzrzr. 35/272 Two letters picked without replacement from {r: 11, m: 9}. What is prob of sequence mm? 18/95 What is prob of sequence dp when two letters picked without replacement from suppsd? 1/15 What is prob of sequence xxo when three letters picked without replacement from xxeo? 1/12 Calculate prob of sequence go when two letters picked without replacement from {b: 1, o: 3, e: 3, g: 1, s: 2}. 1/30 Three letters picked without replacement from anvnaavnni. What is prob of sequence nnv? 1/30 Two letters picked without replacement from ujm. Give prob of sequence jm. 1/6 Four letters picked without replacement from djddjdjjjd. What is prob of sequence jdjd? 5/63 What is prob of sequence wssm when four letters picked without replacement from {l: 2, p: 2, m: 4, s: 3, w: 1}? 1/495 Calculate prob of sequence ecc when three letters picked without replacement from {t: 5, u: 5, e: 1, c: 5, k: 3}. 10/2907 Three letters picked without replacement from {q: 12, j: 7}. Give prob of sequence jqq. 154/969 Three letters picked without replacement from {k: 1, r: 1, f: 1, l: 1, t: 2, y: 1}. What is prob of sequence ktt? 1/105 Four letters picked without replacement from yzzxczfzzzzchzycf. Give prob of sequence zyfy. 1/1785 Two letters picked without replacement from oajoaajcaposa. What is prob of sequence co? 1/52 Four letters picked without replacement from {n: 4, u: 7}. Give prob of sequence uunn. 7/110 Four letters picked without replacement from ndnuunnuunnuuund. What is prob of sequence dndn? 1/520 Calculate prob of sequence hsdh when four letters picked without replacement from {d: 1, h: 2, s: 1}. 1/12 Three letters picked without replacement from {t: 4, a: 1, y: 1, j: 4}. What is prob of sequence jtj? 1/15 Two letters picked without replacement from xjbtoxl. Give prob of sequence xt. 1/21 What is prob of sequence fl when two letters picked without replacement from llffllffqfflfl? 3/13 Calculate prob of sequence ccg when three letters picked without replacement from {g: 6, c: 4}. 1/10 What is prob of sequence sm when two letters picked without replacement from swm? 1/6 What is prob of sequence pu when two letters picked without replacement from {c: 2, u: 6, y: 2, p: 1, t: 7}? 1/51 Calculate prob of sequence bgj when three letters picked without replacement from {g: 4, b: 10, j: 2, o: 4}. 2/171 What is prob of sequence zlzd when four letters picked without replacement from {l: 3, z: 15, d: 2}? 7/646 Four letters picked without replacement from ffflffeeeflf. Give prob of sequence lflf. 7/990 Two letters picked without replacement from {f: 1, l: 1, q: 1, o: 5, u: 1}. What is prob of sequence fu? 1/72 Two letters picked without replacement from jpjpjjj. What is prob of sequence pj? 5/21 Calculate prob of sequence opo when three letters picked without replacement from {w: 5, z: 1, o: 3, f: 2, p: 3, r: 6}. 1/380 Two letters picked without replacement from xxnyxyzylzzyxzzz. Give prob of sequence ln. 1/240 Two letters picked without replacement from {w: 4, m: 3, f: 1, p: 3, j: 2, x: 2}. Give prob of sequence wp. 2/35 Two letters picked without replacement from ffffffrffr. Give prob of sequence rr. 1/45 What is prob of sequence qjj when three letters picked without replacement from jjjjjjjjqjjjjjjjjjj? 1/19 What is prob of sequence vvvv when four letters picked without replacement from vvvlvvvvvlv? 21/55 Three letters picked without replacement from {p: 2, c: 3, e: 1, f: 2, i: 2, v: 2}. Give prob of sequence iic. 1/220 What is prob of sequence dd when two letters picked without replacement from {a: 7, c: 3, d: 4}? 6/91 Calculate prob of sequence fqct when four letters picked without replacement from {q: 1, c: 3, t: 1, i: 4, f: 2}. 1/1320 What is prob of sequence uka when three letters picked without replacement from {k: 1, r: 1, u: 2, a: 1, c: 1, w: 1}? 1/105 What is prob of sequence yy when two letters picked without replacement from {y: 3, u: 4, j: 6}? 1/26 Calculate prob of sequence zd when two letters picked without replacement from {a: 1, w: 6, d: 1, l: 4, z: 3}. 1/70 What is prob of sequence taww when four letters picked without replacement from awwtwaawwwtwwwdw? 9/728 What is prob of sequence ff when two letters picked without replacement from {g: 1, l: 18, f: 1}? 0 What is prob of sequence ff when two letters picked without replacement from aaaaaaafaf? 1/45 Three letters picked without replacement from xpxjxpxxjpxx. What is prob of sequence pxp? 7/220 Calculate prob of sequence cc when two letters picked without replacement from {i: 6, z: 3, f: 1, j: 5, c: 5}. 1/19 Four letters picked without replacement from {c: 3, x: 11}. Give prob of sequence cxxc. 5/182 Four letters picked without replacement from imgqymmmgmiiiigiiiy. What is prob of sequence yiiq? 7/5814 Calculate prob of sequence owr when three letters picked without replacement from xooorwrooowxoxw. 1/65 Two letters picked without replacement from nrroonnrcrnno. What is prob of sequence cn? 5/156 Calculate prob of sequence ccib when four letters picked without replacement from {n: 4, i: 4, b: 4, c: 6}. 1/153 Three letters picked without replacement from {m: 3, u: 1, r: 2, p: 1}. Give prob of sequence mrm. 2/35 Two letters picked without replacement from ffffolffofffllfk. Give prob of sequence kl. 1/80 Three letters picked without replacement from jhxkjjfhxjsjfkjkjkjh. Give prob of sequence jhh. 2/285 Three letters picked without replacement from mmzozmzozzzmozzmo. What is prob of sequence zoo? 2/85 What is prob of sequence dmmw when four letters picked without replacement from {w: 7, m: 4, d: 8, u: 1}? 28/4845 What is prob of sequence ym when two letters picked without replacement from ooyokkyomymyoom? 2/35 Calculate prob of sequence wmhh when four letters picked without replacement from {m: 1, w: 1, d: 1, h: 6}. 5/504 Calculate prob of sequence kks when three letters picked without replacement from {a: 4, k: 3, s: 3, c: 3, p: 4}. 3/680 Calculate prob of sequence zuz when three letters picked without replacement from {k: 1, u: 1, z: 3, m: 1, j: 1}. 1/35 Four letters picked without replacement from {m: 5, b: 3}. Give prob of sequence mbbb. 1/56 Calculate prob of sequence pwdz when four letters picked without replacement from {z: 2, p: 13, d: 1, w: 1}. 13/28560 Two letters picked without replacement from gglmlmllhmpli. What is prob of sequence mi? 1/52 What is prob of sequence bjbc when four letters picked without replacement from ibwicicwjibjwcbj? 9/7280 Two letters picked without replacement from anafjfjnfjdffndddja. Give prob of sequence jj. 2/57 Two letters picked without replacement from wwupb. Give prob of sequence pw. 1/10 Calculate prob of sequence hek when three letters picked without replacement from hykhekekyhekhhkhhkk. 49/1938 Three letters picked without replacement from iiiuititiiiisittiit. What is prob of sequence tut? 10/2907 What is prob of sequence dd when two letters picked without replacement from wddwwdwdwdwdwddddwwd? 11/38 What is prob of sequence jn when two letters picked without replacement from {e: 5, p: 1, n: 1, i: 3, j: 1}? 1/110 What is prob of sequence ptpp when four letters picked without replacement from {t: 3, p: 3}? 1/20 What is prob of sequence upp when three letters picked without replacement from {u: 1, x: 8, q: 1, y: 1, p: 1}? 0 What is prob of sequence ha when two letters picked without replacement from jsdakjkkjjkjhaakdkjd? 3/380 Three letters picked without replacement from {y: 2, q: 2, r: 1}. What is prob of sequence ryy? 1/30 Three letters picked without replacement from {f: 2, j: 1, r: 2}. Give prob of sequence ffr. 1/15 Three letters picked without replacement from sssofgoooggco. What is prob of sequence oof? 5/429 Calculate prob of sequence zcd when three letters picked without replacement from zdizdddzczz. 2/99 What is prob of sequence wj when two letters picked without replacement from {a: 1, j: 1, w: 2}? 1/6 Four letters picked without replacement from {j: 7, u: 4, n: 3}. What is prob of sequence juun? 3/286 Two letters picked without replacement from mddydti. What is prob of sequence ty? 1/42 Two letters picked without replacement from fffffffff. What is prob of sequence f
{ "pile_set_name": "DM Mathematics" }
135. Solve -8*p = p + h for p. -3 Suppose -24*u + 34 - 10 = 0. Solve 0 = 5*m + 24 + u for m. -5 Suppose 8*h - 3*h - 5*v = 175, 5*v + 70 = 2*h. Let q = 16 - h. Let o be (-6)/(2/(-1)) - q. Solve o = 4*y + 6 for y. 4 Let x be 40/(-7)*315/(-90). Solve -12*o - 8 = -x for o. 1 Suppose 1 = 4*g + 5*p - 2, 2*p = -3*g + 11. Let t be ((-1)/(-2))/(2/16). Suppose 5*v + 2*w + 3*w = 15, w - 9 = -t*v. Solve 0 = -v*k + g*k + 15 for k. -3 Let z = -58 + 68. Solve 2 = 6*t - z for t. 2 Suppose 0 = -5*r - 5*h + 40, 29*r - 22 = 27*r + h. Solve -r*y = -29 - 1 for y. 3 Let t = 3 - 2. Let x(g) = 2*g**2 + g - 1. Let n be x(t). Let z(d) = -17*d - 149. Let f be z(-9). Solve -f = -n*p + 3*p for p. -4 Suppose -16 = -q - 11. Solve -43 = -q*z - 63 for z. -4 Let g(o) = -o**3 + 3*o**2 - 1. Let y be g(2). Suppose 9*q = 11*q - 8. Solve -q = y*z + 8 for z. -4 Let k(y) = -2*y**3 + y**2 + 9*y + 7. Let n be k(-2). Suppose n*c - c = -c. Suppose 5*g = 3 + 2. Solve 4*v - 3*v + g = c for v. -1 Suppose 0 = -4*k - 5*r + 35, -k + 3*k = r + 21. Solve -9*m = -14*m - k for m. -2 Let c = 25 + -21. Suppose -c*d = -3*d + 22. Let q = 23 + d. Solve r + q + 1 = 0 for r. -2 Suppose 5*o - 2*h = 71, -5*h = -3*o + 3 + 51. Suppose 0 = -9*g + o*g - 24. Solve 0 = -x + g*x - 25 for x. 5 Suppose 155*b + 167 + 130 - 1382 = 0. Suppose -3*n - 2*n = 0. Solve -4*h + b*h = n for h. 0 Let b be 72/8 - (-1 - -1). Solve -3*q + b*q = 0 for q. 0 Let f(h) = -154*h - 917. Let l be f(-6). Solve l = 5*m + 12 for m. -1 Let m(i) = 24*i - 418. Let r be m(18). Solve -22 = -12*a + r for a. 3 Let t(o) = -o**3 + 10*o**2 + 38*o + 25. Let i be t(13). Solve 6*p + 30 = i for p. -3 Let s = -1195 - -1218. Solve s - 25 = 2*n for n. -1 Suppose -98 = -2*g - m + 40, 0 = 5*g - 5*m - 330. Solve -g*v = -65*v - 15 for v. 5 Let t = -97 - -97. Solve t = 33*r - 30*r + 12 for r. -4 Suppose 5*m = 0, 0 = -2*v - 2*v - 3*m + 8. Suppose -v*k + 1 = -5. Suppose -k*g + 20 = 14. Solve g*r + 2*r = 20 for r. 5 Let q(a) = a**2 - 4*a + 8. Let u be q(2). Solve w - u = -w for w. 2 Suppose -8*o + 4*o + 24 = 0. Let n be (-63)/(-14)*(-20)/o. Let b be (3 + 3)/(-3) - n. Solve 3 = 4*a - b for a. 4 Let x be (-7 - -4 - -3)/((-7)/7). Solve x = 10*c - 15*c - 15 for c. -3 Let b be 553/70 - 2/(-20). Solve 7*p = b*p + 2 for p. -2 Let p(r) = -r**2 + 7*r - 1. Let c be p(5). Let y be -1 + -3*(-3)/c. Solve -u - 2*u = y for u. 0 Let x = 209 + -182. Solve -n = -10*n - x for n. -3 Let a = 204 - 192. Solve -3*x - a = 3*x for x. -2 Let w be (3 + -1 - 13) + -1. Let z(a) = a + 15. Let l be z(w). Solve -l*f + 25 = 2*f for f. 5 Suppose -2 = -4*s + 4*r + 2, -5*r = s + 5. Solve s = 2*p - 7 + 5 for p. 1 Suppose -37 = -2*z + g, -3*g + 14 = -z + 40. Solve -14*x - 3 = -z*x for x. 1 Let k(p) = -p + 4. Suppose 5*h - 28 = -4*u, 0*h - 4*u - 8 = -4*h. Let b be k(h). Suppose 2*j - 6*j - 3*y + 32 = 0, -3*y = 0. Solve b*s - j = 4*s for s. -2 Suppose 0 = -3*s + 7 - 1. Suppose u - 2*j + j = 2, 0 = -s*u + 4*j - 4. Suppose -u*l = 3*l - 45. Solve -c = -l*c - 20 for c. -5 Suppose -8 = -3*r + r. Suppose a - x = -r*a + 18, -18 = -4*a + 2*x. Solve -a*o = -5*o - 2 for o. -1 Suppose p - 20 = 5*s + 6*p, -2*s = 3*p + 12. Solve s = 3*l - l - 4 for l. 2 Let l(s) = 3*s + 33. Let m be l(-11). Solve m = 5*f + 10 - 0 for f. -2 Suppose 1 = 2*y - 7. Let d(z) = -2*z + 16. Let u be d(11). Let h(l) = -l**3 - 6*l**2 + l + 6. Let g be h(u). Solve g = t - 5*t - y for t. -1 Suppose 0*b = -2*b - 28. Let t = 24 + b. Suppose 4*p + 0 = -4*g + 4, t = 3*g - 4*p. Solve 3*r + g = 2*r for r. -2 Let g(z) = 2*z**3 + 35*z**2 + 19*z + 44. Let d be g(-17). Solve -236*c = -234*c - d for c. 5 Let b(n) = 2*n**2 + 15*n - 1. Let t be b(-8). Solve -q - 24 = t*q for q. -3 Let p = -1201 + 1228. Solve 9*x = p*x for x. 0 Let w be 6568/104 - (-2)/(-13). Suppose 2*d = -4*p + 3*d + 49, w = 5*p - 3*d. Suppose 0*q - 6 = q - 4*t, 3*q = 2*t + p. Solve 2*k = -q + 2 for k. -2 Suppose s + 16 = 40. Let q(r) = -2*r - 11 - 3*r + 6*r + s. Let y be q(-10). Solve -2*u - y = -u for u. -3 Let h(z) = -z**2 - 17*z - 72. Let f be h(-9). Solve a + 5*a + 30 = f for a. -5 Let d(r) = 2*r + 5. Let k be d(-5). Let b = 5 + k. Let j be (-98)/(-14) - 2*1. Solve b*s = s + j for s. -5 Suppose 2*j = 5*u - 6, j + 3 + 0 = u. Suppose 2*q - 4*a = -8 - 4, -q = -5*a + 15. Solve q = -g - u + 1 for g. 1 Suppose 8*k + 387 = 1179. Solve -5*y + k - 79 = 0 for y. 4 Let i be 8/(9/(-144)*-8). Suppose -4*q = q. Suppose i*c - 18*c + 4 = q. Solve -c + 22 = 5*x for x. 4 Let o(f) = f**2 - f - 21. Let t be o(-4). Suppose -3*r + 2*r - 12 = 0. Let b be (-84)/r - (t - 0). Solve -x = -3*x + b for x. 4 Let u be (-4 - 125/(-5)) + -1. Suppose -5*y + u = -y. Solve -4 = y*p + 1 for p. -1 Suppose -18 = -6*y - 0. Let d = -2 + 2. Suppose d = -h + 4*s - 18, -s = -h - h - 1. Solve -y*t - h = -2*t for t. -2 Let x(v) = -v - 3. Let t(f) = -2*f**2 - 47*f - 32. Let o be t(-23). Let k be x(o). Solve 0 = 2*p + k + 4 for p. -5 Let r = 29 + -11. Let l = r - 16. Solve -c = l*c - 9 for c. 3 Suppose -7*w + 8 = 5*y - 3*w, -5*y = 5*w - 10. Suppose -2*v + y*v = -6. Suppose -10*u = -14*u + 8*u. Solve -6*q + v*q - 6 = u for q. -2 Let c(u) = -u**2 + 7*u + 2. Let y be c(6). Suppose 0 = y*h - 8 - 8. Suppose 3*f + 5*m + 28 = 6*f, -4*f + m + 9 = 0. Solve 3 + f = -h*d for d. -2 Let u = -7 + 3. Let x be 6/(u - -34)*15. Solve -x*p + 1 - 4 = 0 for p. -1 Let t(f) = 3*f + 3. Let i be t(-1). Suppose -3*g - 23 + 62 = 4*n, i = 5*n + 2*g - 40. Solve 3*b - b = -n for b. -3 Let i be 2/(-8) - (5 + 196/(-16)). Solve -2*d + i = 11 for d. -2 Suppose -4*t + 163 - 3 = 0. Solve -2*c + t = 8*c for c. 4 Suppose a + 34 = g, 3*a + 141 = -0*g + 4*g. Let l = -35 + g. Solve 0 = -7*j + l*j - 15 for j. -5 Let g = 5 + 9. Suppose g*q = 21*q. Solve -5*z + 11 + 4 = q for z. 3 Let q be (-30)/(-40)*(-4)/(-3) - -196. Solve -i + q = 201 for i. -4 Let s be -40*(-2)/(-4)*-4. Suppose 2*u - s = -4*a - 0*a, 116 = 3*u + 4*a. Let p be -4 + -1 + u/3. Solve 4*t - p = 9 for t. 4 Let a be ((-66)/15)/(2/(-10)). Let h = 25 - a. Suppose y + h*y = 0. Solve y*t = -4*t for t. 0 Let b(a) = 3*a**3 - 5*a**2 + 5*a - 5. Let v be b(2). Solve 0 = h - 4 + v for h. -5 Let z(v) = -4*v - 11. Let b(q) = 7*q + 23. Let g(y) = -3*b(y) - 5*z(y). Let d be 5*16/(5/(-3)*3). Let p be g(d). Solve 0*u + u = p for u. 2 Let h(o) = o**2 + 35*o - 285. Let j be h(7). Solve -j*l + 30 = 48 for l. -2 Suppose 4*n + 59 = 5*r, -19*r - 29 = -22*r - 4*n. Solve -r*p = 18 - 29 for p. 1 Suppose -9*j - 14*j + 92 = 0. Solve -5*m = j*m + 36 for m. -4 Let z be 0/(-4) + 4/2. Let u(b) = b**2 + 5*b + 4. Suppose -4*t - 8 = -2*c + 20, 2*t + 30 = 5*c. Let w be u(t). Solve 0 = -z*h + h - w for h. -4 Suppose -9 = 3*h - 4*s, 2*h + 4*s - 2*s = -20. Let d(n) = n**3 + 6*n**2 - 7*n + 3. Let z be d(h). Solve -10 = -z*m + 8*m for m. -2 Suppose 0 = 62*n - 60*n - 14. Suppose t - 15 = 5*m, -4*m + 9 = -n*m. Solve 2*p + t = 8 for p. 4 Let b = 23 + -18. Solve -17 = b*z - 2 for z. -3 Let x(y) = y**3 + 23*y**2 - 138*y + 61. Let v be x(-28). Solve -z = -7 + v for z. 2 Suppose -i - 3*i + 92 = 0. Suppose 0 = -2*n - i + 27. Solve -o + 15 = n*o for o. 5 Let y = 247 + -242. Let r = 3 + -1. Solve y*z = r - 7 for z. -1 Let c = 93 - 87. Suppose y - 3*y - 23 = -5*x, 2*x + 3*y - 13 = 0. Solve 2*k - x*k + c = 0 for k. 2 Let m(t) be the third derivative of t**6/120 + t**5/20 - 5*t**4/24 - t**3/3 - t**2 + 2*t. Let u be m(-4). Solve -9 = -u*z - 3 for z. 3 Let v be 2*13 - (-9 + 7). Let a = -20 + v. Solve 3*p + a = 5*p for p. 4 Suppose -o - 3*q = -9, -7 = -5*o - 4*q + 5. Suppose o = 2*l - 0*l - 8. Suppose -r = h - 3 - 7, -5 = -4*r + 3*h. Solve -r*n = -l - 1 for n. 1 Suppose 0 = 5*h - 17*h + 60. Suppose -4*a + h + 3 = 0. Solve a*n - 4*n = 2 for n. -1 Suppose m - 150 = -119. Suppose 3 = -4*z + m. Solve 0 = 3*d + z + 2 for d. -3 Suppose -7*x = -12*x + 10. Suppose x*w = 3*w - 4*u - 2, -w = 2*u - 2. Suppose 3*a = -0*i + 5*i - 3, -5*i = -2*a - 7. Solve -w*d - 5 = -i*d for d. 5 Suppose -18*v = -19*v + 24. Suppose -10*w + 6 = -v. Solve -w*t = -8 + 5 for t. 1 Let z(u) = -3*u**2 + 8. Let o be z(0). Solve 3 + 5 = o*h for h. 1 Let k be 9/3 + (-2 - -54). Suppose l - 87 = -3*w, -3*w - 2*l + k + 35 = 0. Let x = w + -24. Solve -u = -x*u for u. 0 Suppose -2*g + 21*f = 16*f - 121, 0 = 3*f + 9. Solve 13 = -10*k + g for k. 4 Suppose 0 = -14*q + 13*q + 2. Let h be -1*q*44/(-8). Suppose 0
{ "pile_set_name": "DM Mathematics" }
- 2. Suppose -3 = t + 2*j, 3*j = -2 - 4. Calculate the remainder when 36 is divided by w(t). 10 Suppose -2*f = 4, -3*f = o - 8*f - 12. Calculate the remainder when 35 is divided by o - (1 + 3)*-4. 17 Suppose -4*o + 4 = -16. What is the remainder when 16 is divided by o? 1 Let w(p) = 6*p + 1. Let n be w(2). Let z be (-6)/(-4)*114/9. Let s = z - n. Calculate the remainder when 10 is divided by s. 4 Suppose 0 = -h + 3*y + 25, -4*h - 4*y = -7*h + 100. Suppose -r + 3*u + 11 = 0, -2*r - 26 = -4*r + 2*u. Calculate the remainder when h is divided by r. 12 Let b be (-3)/(-4) + 675/12. Suppose -3*v - 9 = -b. What is the remainder when v is divided by 6? 4 Let z be (-54 - 0)/((-2)/5). Suppose z = 4*r + r. Calculate the remainder when r is divided by 7. 6 Suppose -4*s = i - 87, 97 = 4*s - i - 0*i. Suppose -2*z = -1 - s. Let t = -92 + 138. What is the remainder when t is divided by z? 10 Let l be 4/10 - 126/(-35). Suppose l*n + 5*h = 5*n + 14, 0 = n + 5*h - 26. What is the remainder when 16 is divided by n? 4 Let z = 61 - 43. Let f = z - 12. Suppose -l = 3*m - 50, -m + 2*l = -5*m + 68. What is the remainder when m is divided by f? 4 Let i(c) = -2*c + 36. Calculate the remainder when 49 is divided by i(9). 13 Let x(j) = -j**3 - 7*j**2 - 7*j - 6. Let t be x(-5). What is the remainder when 9 is divided by 40/14 + (-3)/t? 0 Suppose -3*m - 5*d + 30 = m, 2*m - 4*d - 2 = 0. Suppose -2*p - 4 = 0, 0 = -n - m*p + 2 - 4. What is the remainder when n is divided by 3? 2 Let z = -13 + 22. Calculate the remainder when (-1150)/(-90) - (-2)/z is divided by 7. 6 What is the remainder when 335/(-20)*-4*1 is divided by (3 - 2)/(1/17)? 16 Suppose l - h = 14, l - 26 = -0*l + 5*h. What is the remainder when (-140)/50*(-30)/4 is divided by l? 10 Let b(q) = -6*q + 39. Let y(t) = -t**3 + 4*t**2. What is the remainder when b(4) is divided by y(3)? 6 Let j(f) = -5*f - 2. Let u be j(-4). Calculate the remainder when (3 - 2)*u*1 is divided by 11. 7 Suppose 0 = 2*g - 8 - 0. Suppose p - 10 = -g*p. Suppose 0 = 3*r - p - 4. Calculate the remainder when 2 is divided by r. 0 Let q be 0/(-1)*(1 - 0). Suppose 0*o + o = 4*s, -2*o + 5*s + 6 = q. Let r = 532 - 519. What is the remainder when r is divided by o? 5 Let o(a) = -a**2 + 7*a + 1. Calculate the remainder when 42 is divided by o(5). 9 Suppose -2*o + 8 = -c, 3*c + 4*o = 23 + 3. Suppose 16 = 3*b + c*p - 5, 3*b + 5*p = 30. What is the remainder when 14 is divided by b? 4 Let f be (11/((-55)/(-870)))/1. Suppose 3*p - 9*p = -f. Let k(a) = a**3 - 5*a**2 + 5*a + 4. What is the remainder when p is divided by k(4)? 5 What is the remainder when 35 is divided by 50/6 + (-16)/(-24)? 8 Let w = -27 + 12. Let o = -10 - w. Suppose -5*j + 55 = -5*m, 0 = -m + 2*m + o. Calculate the remainder when 23 is divided by j. 5 Let p = 157 + -86. What is the remainder when p is divided by 15? 11 Let f = -27 - -51. Let c be ((-4)/(-6))/(4/f). Suppose k - 20 = -k + v, -c*k = -5*v - 40. Calculate the remainder when k is divided by 4. 2 Let b = 94 + -45. Calculate the remainder when b is divided by 18. 13 Suppose -h - 6*h = -406. Calculate the remainder when h is divided by 15. 13 Suppose -5*h - 2*p - 30 = 0, -35 = 4*h + 2*p - 11. Let r(s) = -s**2 - 8*s. What is the remainder when 35 is divided by r(h)? 11 Let d = -39 + 69. Suppose 5*t + 3*u = 119, 10 = -4*u - u. Let q = 41 - t. Calculate the remainder when d is divided by q. 14 Let k be 1*(2/(-1) - -1). Let f(d) = 2*d**2 + 3*d. What is the remainder when f(-6) is divided by 4*k/(-2) - -12? 12 Calculate the remainder when 4/(-18) - 1675/(-45) is divided by 8. 5 What is the remainder when (138/(-115))/(1 + 13/(-10)) is divided by 1? 0 Let r = 46 + -29. Calculate the remainder when r is divided by 10. 7 Let l(q) = -q**2 + 6*q - 10. Let m be l(8). Let o = -12 - m. What is the remainder when 69 is divided by o? 13 Suppose 5*c = -10 - 20. Calculate the remainder when (2 + 15/c)*-30 is divided by 8. 7 What is the remainder when (-7)/(5/(-20)*(3 + -1)) is divided by 6/(-4)*20/(-6)? 4 Suppose -4*y + s = 4*s - 112, -4*s - 59 = -3*y. What is the remainder when 76 + (-1 - -3) + -5 is divided by y? 23 Let o = 10 + 3. Suppose -o = -l - 2*f, -3*l + 8*l = 4*f + 37. Let x = 4 - -13. Calculate the remainder when x is divided by l. 8 Suppose 20 = 4*y + y. Suppose -4*m = -3*m - 2*p - 2, 5*m + y*p = 38. Calculate the remainder when 16 is divided by m. 4 Let n be 4/12*3 - -63. Suppose -38 = -3*q + n. What is the remainder when q is divided by 9? 7 Suppose 0 = a + 61 - 73. What is the remainder when 71 is divided by a? 11 Suppose -4*u + 6*u = 4. Suppose -u*v - 20 = 3*v, -2*q - v = -4. Suppose -4*n + 4 = -q. Calculate the remainder when 2 is divided by n. 0 Let l be 3/3*2/1. Suppose -3*i + 10 = -l*i. Calculate the remainder when 26 is divided by i. 6 Let y(w) = -w + 0 - 2*w - 4. What is the remainder when y(-5) is divided by ((-1 - 3) + 16)/2? 5 Suppose 60 = 5*w - 20. Let l(z) = 10*z + z**3 + 0 - 7 - w*z**2 + 6*z**2. What is the remainder when 2 is divided by l(9)? 0 Calculate the remainder when 52 is divided by 14 - (2 + -4)/((-3)/(-6)). 16 Let w be ((-50)/20)/(1/(-2)). Suppose h + 10 = 6*h. Suppose w*j = 3*f - 35, 2*f - h*j + j = 14. What is the remainder when 9 is divided by f? 4 Calculate the remainder when 2/(-5) + 3576/40 is divided by 10. 9 Let d = 3 - -26. Calculate the remainder when d is divided by 15. 14 Let n be (8 - -1)*(-1)/1. Let r = 14 + -3. Calculate the remainder when 94/3 + (-6)/n is divided by r. 10 Suppose 0 = -2*l + 3*b + 28, -6*l + 3*l = 5*b - 42. Suppose -4*d + 72 - 4 = 0. What is the remainder when (49/l)/(2/28) is divided by d? 15 Suppose d = 4*v + 8, -3*d + 3*v = -2*v - 17. Suppose -4*g = -d*k - 8, -2*k + 0*g - 3*g = -16. What is the remainder when 2 is divided by k? 0 Suppose -9 = -3*b - 6. What is the remainder when 2 is divided by b? 0 Let k be ((-4)/(-10))/((-3)/1425). Let w = -32 + 45. What is the remainder when k/57*(-15)/2 is divided by w? 12 Let x = 17 + -13. Calculate the remainder when 57 is divided by (0/x - -3) + 27. 27 Let m(w) = 2*w - 4. Let f be m(4). Calculate the remainder when 810/42 + (-2)/7 is divided by 1/((4/7)/f). 5 Suppose -f + 4*f - 111 = 0. Calculate the remainder when f is divided by (-1)/(116/40 + -3). 7 Let r = -39 - -4. Let m = r + 11. What is the remainder when 26 is divided by (m/18)/((-4)/42)? 12 Let i be (-560)/(-30) - 2/3. Let f = 5 + -9. Calculate the remainder when 34 is divided by i/(-1)*4/f. 16 Let t(a) = 2 - 4*a**2 + 7*a + 3*a**2 - 3. Suppose -i = i - 10. Calculate the remainder when t(i) is divided by 5. 4 Let j be (-116)/16 - 1/(-4). Calculate the remainder when 2 is divided by j/(-9) + (-2)/(-9). 0 Let q = -38 + 68. Let c = -125 - -187. Let r = c - q. What is the remainder when r is divided by 17? 15 Let m = -3 - -5. Suppose 7*o + 15 = m*o. Calculate the remainder when 3 is divided by -1 - o - 0/(-1). 1 Let l = -2 + 1. Suppose 5*d + u - 33 = 0, -16 - 13 = -5*d - 3*u. What is the remainder when ((l + 21)/1)/1 is divided by d? 6 Let w = -135 + 316. What is the remainder when w is divided by 23? 20 Let f(t) = t**3 + 9*t**2 - t - 6. Let m(h) = -h**3 - 5*h**2 - 3*h - 5. Let k be m(-4). What is the remainder when 4 is divided by f(k)? 1 Suppose 2*t + 3*d - d - 54 = 0, 2*t + 5*d - 39 = 0. Calculate the remainder when t is divided by 18. 14 Let j(p) = -p + 2. Let u be j(3). Let c = 18 - u. Calculate the remainder when ((-28)/6)/((-1)/12) is divided by c. 18 Let z(n) = 29*n - 1. Calculate the remainder when z(3) is divided by 22. 20 Let v = -104 + 138. Calculate the remainder when 168 is divided by v. 32 Suppose 3*v = 3*d, -5*v - 2*d + 4 = -5*d. What is the remainder when 6 is divided by v? 0 Let t = -19 + 29. Calculate the remainder when 37 is divided by t. 7 Let h = 21 - 13. Let z be (1/(-2))/(2/h). Let p(b) = -6*b - 1. What is the remainder when 21 is divided by p(z)? 10 Suppose 2*z - 2*s - 48 = 0, -3*z = -0*z + 5*s - 64. Let b = 12 - 10. Suppose -w + 137 = b*o, 2 - 6 = -4*w. Calculate the remainder when o is divided by z. 22 Let u = -61 - -99. What is the remainder when u is divided by 14? 10 Suppose -4*o + o + 7 = 2*x, 1 = -o + x. What is the remainder when (5/3)/(o/9) is divided by 9? 6 Let f(w) = -5*w - 67. Suppose 4*s - 116 = -3*y, -7*s - 5*y = -2*s - 145. Calculate the
{ "pile_set_name": "DM Mathematics" }
-1 + -2. Suppose 5*x - 5*r + 5 = 0, 3*r - 7*r + 28 = 4*x. Let c be 1 + (2 - 3 - 0) - -3. Solve x*b = -o*a - 2*b + c, 3*a = 3*b + 9 for a. 2 Suppose 12*i - 19*i + 28 = 0. Solve -3 = 3*g + 5*y + 3, -2*y = -i*g + 18 for g. 3 Let t = -1 + 22. Let k = t - 13. Solve -h + 14 = 2*h - 2*l, 4*l = -4*h - k for h. 2 Let q = -125 - -125. Solve -4*v = q, 2*u + 10 = -2*v - v for u. -5 Suppose 16 = r + 14. Suppose 2 + r = 2*x. Solve 4 = u - 3*q, -2*u + q = -x - 1 for u. 1 Let w = -13 - -15. Solve -4*m = -w*k - 22, 0*k + 2*k + 3*m + 1 = 0 for k. -5 Let i be (-3)/(3/(-5) + 1 + -1). Solve -z = -i*q - 0 - 6, -7 = 5*q - 2*z for q. -1 Suppose 204*w - 180 = 184*w. Solve -r + 5 = 4*i + 2, -3*r - 3*i + w = 0 for r. 3 Suppose 2*d + 84 = -58. Let g = 73 + d. Solve -u + 5 = -i, -4*i + 9 - 5 = g*u for u. 4 Let z be (2/2 + (-2)/2)/3. Suppose 0 = 3*w + 3, 4*d - w = -z*w + 1. Solve d*f = -4*f + 5*l + 4, f = l for f. -4 Let w = -107 + 109. Solve w*x - 6*x - 4*d = 4, 0 = 4*x - 3*d + 25 for x. -4 Suppose 0*g - 13 = -g. Let o be (((-270)/(-12))/(-9))/((-15)/48). Solve 0 = b - s - o, 0*b + g = -4*b - 5*s for b. 3 Let f = 139 - 137. Solve k - 6 = -f*w - 4*k, w - 4*k + 10 = 0 for w. -2 Let n(x) = x**3 - 7*x**2 + 6*x + 6. Let j be n(6). Suppose j*s = 3*s. Suppose t - 3*t = s. Solve 4*b + b = -a + 12, -3*a - 9 = t for b. 3 Suppose -2*a + 2 = -a. Suppose -10 = -a*k + 4*x, 3*x + 4 - 1 = 0. Solve k*i - 2*s = -5*s - 9, -i - 5*s - 7 = 0 for i. -2 Suppose 0 = -2*h + 7*h - 4*u - 16, -h - 3*u - 12 = 0. Let b be (-6 - -3)/(2/4). Let c be 10 + b - 2*1. Solve -5*n + c*x + 2*x + 6 = h, 0 = -n - 5*x + 7 for n. 2 Let r be 2 + (-2)/((-2)/(-7)). Let n be (-2 + 7)/r + 81. Let b be 16/10 + 32/n. Solve 4*t + 3*w + b = -9, -3*w = 5*t + 16 for t. -5 Let c = 48 - 53. Let x(g) = -11*g - 27. Let j be x(c). Solve 0 = 2*p + 4*v + 18, 0 = 3*p + 5*v - 5 + j for p. -1 Let c = -8 - -8. Suppose c*u - 11*u = -88. Let i be (2 - -4 - 1) + -2. Solve -i - u = w + 3*k, 6 = -2*k for w. -2 Let o be (3 + (-5 - 0))/(1/(-52)). Suppose 0 = 99*x - o*x + 20. Solve l - 2 = 0, 4*u - 6 = -x*l + 6 for u. 1 Let j(c) = -c**2 - 3*c + 10. Let k be j(-7). Let a be 0/2 - k/2. Solve 5*m + 4*y = -a - 4, 5*m + 2*y = -9 for m. -1 Let x = -415 + 415. Suppose 2*v - 30 = 5*l, 5*l = l - 4*v - 24. Let i(q) = q**2 + 6*q + 3. Let a be i(l). Solve -m = m + 3*g - 5, x = a*m + 4*g - 7 for m. 1 Let y be 1/3 - 56/(-21). Suppose -y*r - 5 = -4*r. Suppose -3*m + 3*m = 3*m. Solve -r*c + 3*j + 24 = m, 0 = -0*c + 4*c - 2*j - 18 for c. 3 Suppose -19 = -2*m + 47*r - 42*r, -2*r - 62 = -4*m. Solve -4*b + m = -4*h + 1, -4*h = -5*b + 20 for h. 0 Let x(t) = 3*t. Let z(b) = -b**2 + 8*b + 3. Let w be z(9). Let r be x(w). Let i = r - -30. Solve 5*a - 2*p = 25, 4*a - 5*p = 49 - i for a. 3 Let c(m) = -7*m + 318. Let f be c(45). Solve -2*d + f*o - 5 = 5, -5*d - o - 8 = 0 for d. -2 Let t = 30 + -20. Suppose -2*j = 3*w - 30 + t, -4*w - j + 35 = 0. Let q(s) = s**3 + 3*s**2 - 3*s - 4. Let u be q(-3). Solve w = -2*o, 3*l + 3*o + u = -7 for l. 1 Let c = -32 + 45. Let r be 0 + (-6)/(-6) + c. Solve 0*k - 2 = k, 5*s + 3*k = r for s. 4 Suppose 2*l + 4*x + 6 = -78, 0 = -l - 3*x - 43. Let v = -40 - l. Solve v = -5*y + 4*w + 33, -4*y - 4*w = -w - 14 for y. 5 Let v = 18 + -18. Solve 11 = 3*o + 2*y - 6, -4*o + 3*y = v for o. 3 Suppose -f + 4*h - 3*h + 15 = 0, -55 = -4*f - h. Suppose 2 = 8*i - f. Solve -q - 5*k - 22 = 2*q, 0 = -i*q + 3*k + 17 for q. 1 Let j(f) = 3*f**2 + 7*f - 3. Let k = -44 + 41. Let i be j(k). Solve 4*d - 4 = -s, 3*s + 7 = i*d - 11 for d. 2 Let u = 10 - 6. Suppose -2*g = 4*b + 6, 4*g - 3*g - 6 = b. Suppose g*h = 6*h - 84. Solve 0 = o + d + 8, 0 = -u*o + d - 4*d - h for o. -4 Let g(z) = 2*z**3 + 14*z**2 - 37*z - 5. Let u be g(-9). Solve 4*c + 10 = v - 2*v, u*v - 2 = -2*c for v. 2 Suppose o - 1 = -y - 6, -3*o = -4*y + 15. Solve -4*i = 5*t - y - 21, i - 2*t = -11 for i. -1 Let h(d) = d + 8. Let w be h(0). Suppose 4 = l - s, s = -w*l + 4*l + 11. Solve 2*j + 4 = 4*n + l*j, 4*n = 5*j + 4 for n. 1 Let s be 2/((-17)/(-10) + 102/(-85)). Solve 5*g + 2*p = -11, s*p = 3*g + p + 15 for g. -3 Suppose -7*a - 28 = -11*a. Let i = a - 9. Let w(x) = x**3 + 6*x**2 + x. Let k be w(i). Solve 2*j = -2*c + k, 0 = -5*c - 2*j - j + 31 for c. 5 Let b(m) = -2*m**3 + 18*m**2 + 6. Let v be b(9). Solve 0 = 2*g + 4, q + 4*g - 12 = v*q for q. -4 Suppose 0 = 6*o + o - 30 + 2. Suppose -t + 6*t = -10. Let q be t/((-6)/(-10) - 1). Solve 0 = l - o, 0*z - q*l + 40 = -4*z for z. -5 Suppose -b - 29 = -2*b - 4*s, -2*s = b - 19. Let h be 30/b + (-3)/9. Suppose -8 = q - 3*q. Solve h*n - 4*n = -q*w, 5*w = 0 for n. 0 Let b be 0/(8/(-12)*6). Solve 0 = 5*o + 5*n + 5, 1 = -b*o + o - n for o. 0 Let n be (10/(-4))/((-2)/4). Suppose -3*w + 0*v - n = -5*v, v = -4*w + 24. Solve 2*b = 3*r + 3*b + 16, w*b - 20 = 5*r for r. -5 Suppose -7*t + 4*t + 4*s = 7, 0 = 4*t + 4*s - 28. Solve 3*c = -5*j + 14, -5*j = -t*c - c + 7 for j. 1 Let k(l) = 16*l + 40*l**2 + 4 - 2 - 39*l**2. Let q be k(-16). Solve 0 = q*h + 8, 28 - 11 = j - 5*h for j. -3 Suppose -5*s + 18 - 3 = 0. Let f = -81 + 68. Let j(v) = v**3 + 13*v**2 + 3. Let t be j(f). Solve t*g - 2 = s*y + 1, y = 5*g + 7 for g. -2 Suppose -7*v + 30 = -19. Suppose -5*z + v = -18. Solve -5*q + 3*p = z*p - 7, 2*q + 3 = 5*p for q. 1 Let v = 15 + 27. Let h = -39 + v. Solve -b = -i - h*b, 0 = -i - 4*b + 2 for i. -2 Let v = 178 + -167. Solve 5*b - 9 = -0*y + y, -b - 3*y - v = 0 for b. 1 Let x = -341 + 346. Solve x*d = d - 16, -32 = 4*q + 4*d for q. -4 Let q be (-7 + (1 - -3))/((-6)/16). Suppose z = 3*r + q, -2*r - 22 = -4*z - 0*r. Solve -3*o - 3*p + 24 = 0, z*o - p = 12 + 4 for o. 4 Suppose 38*g = 35*g + 45. Suppose 33*t + g = 36*t. Let u = 11 - 8. Solve s = t*j - 12, 14 = 4*j + u*s - 7 for j. 3 Let v = -648 + 651. Let o = -5 - -9. Suppose o*h - 72 = -5*t, 6*t - 3*t = 2*h - 14. Solve 2*w = 4*b + 14, -h = w - 0*b + v*b for w. -1 Let b(z) = -29*z - 1561. Let o be b(-54). Let h = -1 - -6. Solve 0*p + o*r + 28 = -4*p, 0 = -h*p + 5*r + 10 for p. -2 Let u = 243 + -238. Solve -5*k + m = 11, -4 + 24 = -u*m for k. -3 Let b be 12/(-1)*(-15)/(-30). Let f be ((-156)/18)/(2/b). Let a = -22 + f. Solve a*o = 2*k + 22, 2*o - 23 = 6*k - k for o. 4 Let a = -7 + 16. Let d = 8 + -5. Let g(p) = -p**3 + 5*p**2 + 2*p - 7. Let c be g(5). Solve -d*y = q - a + c, -4*q - 4 = -2*y for q. 0 Let r be 5/(-15)*-17 + (-6)/9. Solve 2*i - i = -4*t - 15, 6 = 3*i - r*t for i. -3 Let b = 224 + -197. Solve -5*h = -f, -5*f = 2*h - 0*h + b for f. -5 Let i = -4 + 15. Let x = -34 + 35. Suppose -x = 10*l - 21. Solve 3*j + i = -7*g + 3*g, -l*j = -g + 11 for g. 1 Let r be (3 + 12)*(-1)/(12/(-20)). Solve 3*f - 3 = -l + 4*l, -5*l = r for f. -4 Suppose -m + 3*f = -28, 2*m - 32 = 3*f + 21. Let y = m - 25. Solve 3*x - 2*a = 3 - 8, 3*x - 5*a + 17 = y for x. 1 Let q be -1*4/12*93. Let x = -29 - q. Solve x*l = 3*p, -p - 3*p + 11 = l for p. 2 Suppose 41 = 6*m + 35. Suppose -3*h - 5*d = -17, -4 = -h - 3*d - m. Solve -2*l + 6 = 5*a, -3*l + 0*a + 2*a = -h for l. 3 Let j(b) = -b**3 + 5*b**2 + 46*b. Let f be j(-5). Solve -x + 11*h = 7*h - 4, 2*h + f = -4*x for x. -4 Let g(q) be the first derivative of -q**2/2 + 3*q - 5. Let c be g(3). Solve -5*l - 4*s + 7*s = c, -l = 5*s + 28 for l. -3 Let w = 1021 + -1017. Solve 0 = w*v - 2*s - 6, -2 - 2 = -3*v + s for v. 1 Suppose -307 = -7*q + 428. Let s be (-2)/12*2 - q/(-45). Solve p - 2*o = -5*o - s, -5*p - 20 = 5*o for p. -5 Let n be (2*-42)/(-4)*-1. Let u = -17 - n. Solve -2*b + 2*i - 4 = 0, 2*b - b + u*i = -12 for b. -4 Let i = 40 + -29. Suppose i - 36 = -5*u. Suppose -u*v + 3*c - 1 = 1, 16 = 4*v + 2*c. Solve t - 10 = 5*z - 4*t, -3*t - v = 5*z for z. -1 Let z be (7 - 12) + 14/2. Solve 15 = 3*x, z*d + 3*x - 14 = x for d. 2 Let d(y) = -y**2 - 4*y. Let o be d(-4). Suppose 11*l + 20 = 13*l. Suppose l*k = 4*k + 18. Solve o = k*p - 4*s + 16, -p - 5*s - 7 = 2*p for p. -4 Let d(j) = j**3 - j**2 + 4. Let t be d(0). Suppose -5*w + 196 = 151. Solve 2*o + z = 2*z + w, 5*z = t*o - 33 for o. 2 Let a(y) = 4*y**2 + 14*y - 27. Let r be a(-6). Suppose q + 1 = 2*g, -2*g - 5*q = 18 + 11. Let c = g - -6. Solve 24 = 4*u - 2*v, -u + r = c*u - 4*v for u. 5 Let m(k) = -7*k**3 + 3*k**2 + 4*k. Let q be m(-1). Solve -4*x - 2*c - 8 - q = 0, -5*c - 10 = 5*x for x. -5 Let l be (-3)/(-2) - 7/(-2). Solve 2*s + 20 = -3*s, -5*s - l = -5*t
{ "pile_set_name": "DM Mathematics" }
+ 0.264. Let n = -131 + o. Which is greater: 1 or n? n Let o = -21 + 24. Let v be o - (4 + -5 - 1). Suppose -3*r = -3, -3*r + 2*r = -v*y - 6. Which is bigger: y or -2/11? -2/11 Let k be (83/(-77) + 1)*(-2 - 12). Suppose 3*x - 24 = 3*b, 0 = -2*b - 3*x + 6 - 2. Let m be (-4 - -5)*b/(-4). Is k < m? False Suppose 0 = 7*i - 32 + 18. Suppose 0 = -4*s + 4*b + 2 + 2, 0 = s - i*b - 3. Which is greater: -17/41 or s? -17/41 Let n be 884/(-26)*(-27)/(-6) + -7. Which is smaller: n or -152? n Suppose -984*a = -986*a. Suppose a = -4*w - 17*i + 12*i - 12, 4*w = 5*i + 28. Let c = 3 + -2. Which is bigger: w or c? w Let r = -11.623 + 7.623. Which is bigger: -225/7 or r? r Let m be (((-15)/(-21))/1)/((-18)/(-126)). Suppose 0 = 2*b - 5*w + 6*w - 64, -w - 146 = -m*b. Is 31 < b? False Let r = 2.94 - 126.94. Let j = 131 + r. Let n = -1 - -0.8. Is j != n? True Let b = -474 - -1070. Let s = -44699/75 + b. Let v = s + 61/1050. Which is smaller: v or 1? v Let k be ((-2)/(-84))/(118/(-256280012)). Let f = k + 1085824/21. Let b = f + 26/59. Which is smaller: -4 or b? b Let o = 13 + -14. Let p = 166.897 + -167. Let g = p - -0.703. Which is smaller: o or g? o Let j(x) = 716*x**3 + 5*x**2 - 2*x - 1. Let r be j(1). Let i = -654 + r. Is 64 less than i? False Let o(j) = 8*j**2 + 691*j - 414. Let q be o(-87). Let y be (-2 - 5)/(-1) + 0. Are q and y unequal? True Let a = -74588306/1141 + 65371. Is a equal to 1? False Let h = 43/474 + 118651/948. Let z = h + -92183/736. Is 0 < z? True Let i(n) = 235*n + 113 - 35 - 465*n + 234*n. Let y be i(-20). Is -1 > y? True Let h be 287/(-273) + (-4)/(-78). Is h greater than or equal to -66/403? False Let z be (8 - 1)*33/77*(-96068)/21. Is z <= -13725? False Suppose 0*h = -5*h + o + 331, 3 = -3*o. Let t be 4/22*1 - 1068/h. Which is greater: -17 or t? t Let g(w) = 1093*w + 9694. Let x be g(-8). Is 951 bigger than x? True Let z be 2*(-27)/(-42)*(326800/(-24))/19. Which is smaller: -920 or z? z Let p be 0 - -4 - (2 + 624/28). Let i = p + 647/35. Which is bigger: i or -2? i Let k = -179 - -175. Let p = 63.9 + -60. Let g = p + -4. Which is smaller: k or g? k Suppose 10*v = 13*v. Suppose -11*i + 6*i + 110 = v. Is i > 106/5? True Suppose -423 = 34*n - 81*n. Suppose 21 = -15*o - n. Which is bigger: o or -3/5? -3/5 Let g = -17839 + 17802. Which is smaller: 19 or g? g Let t = -1068 - -453. Let h be (32/(-20))/4*t/6. Let o = h - 42. Which is greater: o or -5/3? o Let q be 4/100*5 + 54/(-1770). Let a be (1/(-3))/(20/60). Is a less than q? True Let o be 3 - (-4)/((-8)/(-26)). Let t be (-8)/o*(-4)/6. Let b be ((-2)/(-12))/((209/429)/19). Which is smaller: t or b? t Suppose 637 = -9*v + 2*v. Let u = v - 11. Let h = u - -713/7. Which is greater: 0 or h? 0 Let q(a) = -6*a - 59. Let o be q(-16). Let h = -197 + 195. Which is smaller: h or o? h Let t(b) = b**2 + 3*b - 2. Let x be t(0). Let i be (32/12)/(x/(-3)). Suppose i*a = 5*a. Which is bigger: a or 1/6? 1/6 Let a = 476.205 - 0.205. Let i = -476.1 + a. Is i smaller than 77/2? True Let q = 249.984 - -0.016. Let v = -249.9 + q. Let z = 0.6 - 3.6. Is v equal to z? False Suppose 4 = 2*w - 2, -2*w + 6 = 2*p. Let o be p/(-3) - (7 - 60). Let m = -1114/21 + o. Is m equal to -0.2? False Let b = 1.0904 + -0.0904. Which is smaller: 12.65 or b? b Let h = 6.84 + -245.84. Let c = 237 + h. Is c less than -17? False Let n(k) be the third derivative of k**4/24 + 35*k**3/6 + 204*k**2 - k. Let f(z) = -2*z**2 + 2*z + 1. Let q be f(4). Let g be n(q). Is 2 bigger than g? False Let t be 6/(-36) + (-50)/(-12). Suppose -11*l + 8*l = -138. Let z = 48 - l. Which is bigger: t or z? t Let v = 76/55 - -20/11. Let y = v + -69/20. Let g = -19389 - -135719/7. Which is greater: g or y? y Let s(a) = 2*a**2 + 10*a - 26. Let d be s(-15). Let t = d - 422. Which is smaller: -149 or t? -149 Let j = 4.895 + -4.695. Which is bigger: j or 1019? 1019 Let b be -699 - (0 + (2 - 2)). Let t = b - -30059/43. Suppose -1 = 38*u + 37. Which is bigger: t or u? t Let c = -4503 - -2590. Does c = -1914? False Let o(z) = -z**2 + 5*z + 10. Let g be (-10 - -17)*(-2)/(-2). Let r be o(g). Which is greater: -6 or r? r Suppose 6*n - 191 = 181. Suppose -114 = 4*x + n. Let t = -8 - 37. Which is bigger: x or t? x Suppose 0 = -5*o - 0*o + 840. Suppose 5*g - 671 = -3*r + 172, -4*g = -3*r - 669. Is g at least o? True Let h(v) = 3*v + 12 + 0*v - v + v**2 + 2*v. Let t be h(-9). Let i be -4 - t/12*2. Is 0 not equal to i? True Let c be 4 + 6*(-10)/15. Let i = 408564 + -9388541/23. Let t = -367 + i. Which is bigger: t or c? c Let a be -80*(4 - 33/15*2). Suppose 2*j - 8 = -4*r - 0*j, r = 2*j + 2. Let l be (r/5)/(3/240). Is l > a? False Let y be (2 + 22)/(12/162) + 8. Is 0 at least as big as y? False Let q be (-1)/(2 - 198/102). Suppose -27*v + 23*v = 40. Is q < v? True Let o = -82 + 81.996. Let m = o + -0.396. Let s = 7/17 - -169/85. Is m smaller than s? True Let t be (1140/(-24))/(-19)*162/33. Which is greater: t or 13? 13 Let y = -1279 + 1273. Which is greater: -348 or y? y Let n(r) = 5*r**3 - 22*r**2 - 19*r - 4. Let s(g) = -9*g**3 + 44*g**2 + 37*g + 7. Let m(j) = -5*n(j) - 3*s(j). Let f be m(11). Are f and -174 non-equal? True Suppose i + 5*z - 1109 = 0, -3*z + 2318 = 2*i + 121. Which is smaller: 1096 or i? i Let s(x) = -6*x**2 + 48*x + 2. Suppose 22 - 2 = 3*d + 4*l, 21 = 3*d + 3*l. Let c be s(d). Are c and 16 nonequal? True Let r be (-9 - -4) + (-36)/18 + 42793/6113. Does r = 0? False Suppose 4 = 4*r + 2*d, 15*r = 12*r - 2*d + 1. Suppose -3*a = -r*q - 291, -4*q + q = -6. Are 98 and a equal? False Let v = 240493/2171 - 1440/13. Let b = v - 13/57949. Which is greater: 1 or b? 1 Let a(s) = s**3 + 4*s**2 - 6*s - 2. Let r be a(-5). Suppose -52 = r*j + 47. Let w be (j/6)/((-5)/(-20)). Is -21 less than w? False Let h be (14/(-322))/(3/(-6)). Let p(i) = -i**3 - i**2 + i - 6. Let a be p(0). Is h greater than a? True Let h = -8 + 13. Let n = 27282 + -27290. Is h < n? False Let o = -55 + 76. Let q be 14*((-3 - o/(-4)) + -2). Let d be (-20 + 22)*3/2. Is q >= d? True Suppose -m + 3*i = 12253, 5*m = 10*m + 3*i + 61301. Which is smaller: m or -12258? m Let r = -5 + -17. Suppose 5*h = 5*z - 1185, 5*h - 2*z + 940 = h. Let q = -255 - h. Are r and q equal? True Let m be (-3)/((-6)/(-7))*48/(-28). Let t be (183/(-30) + m)*24/(-34). Which is bigger: 0 or t? t Let z be (1 - (-72)/(-84)) + 10862*4/(-304920). Is -1 less than z? True Suppose -5*j = -5*t + 30, -9*t - 48 = -14*t - 4*j. Suppose -4*s + 2*c + 728 = 0, 2*s = -12*c + t*c + 364. Which is smaller: -0.1 or s? -0.1 Suppose 29*d = -3*d + 1280. Suppose -d*m + 54 = -34*m. Is m at least as big as 15? False Let c = -72366 + 376243/5. Which is bigger: 2884 or c? 2884 Let k = -341/8 + 65797/1544. Which is smaller: -1 or k? -1 Let k(z) = 24*z + 1210. Let p be k(-51). Let c(q) = q**3 - 7*q**2 - 11*q + 12. Let b = 12 + -4. Let x be c(b). Which is bigger: p or x? x Let u = 0.35 - -13.65. Let n = u - 14. Is n less than 12/41? True Let l be (3 - 1)/1 + 1. Suppose -l*m = -0*m + 12, -3*u = -3*m - 57. Which is greater: u or 1/2? u Let j be (3816/(-27))/8*-3*(-1)/14. Which is bigger: 1 or j? 1 Let z be 1196/552 - (1 + 5/(-6)). Let c(x) = x**3 + x**2 - 12*x + 23. Let t be c(z). Let n be 9/2*(-7 - -9). Is n less than t? True Let j(n) = n**3 - 3*n**2 - 3*n. Let q be j(4). Let f(s) be the third derivative of s**6/120 + s**5/30 - s**4/8 - s**3/3 + 72*s**2. Let k be f(-3). Is k > q? False Let n = 5207/112 + -745/16. Which is bigger: -190/7 or n? n Suppose 0 = t - 4*t - 42. Let u(x) = -x**2 - 179*x - 535. Let p be u(-3). Which is bigger: t or p? p Let c(m) = m - 18. Let i be c(15). Let d(l) = -2 + 31*l - 12*l**2 + 10*l**2 - 37*l. Let s be d(i). Which is smaller: 22 or s? s Let n be -5*(-15)/(45/21). Which is greater: n or 23? n Let k be ((-12)/(-16))/((-2)/(-360)). Suppose 31*o + k = 22*o. Which is greater: o or -20? o Let c = -47973/443 + 5692931/92587. Let p = c + 516/11. Do -3 and p have the same value? False Suppose 2*i + 6 = 5*x - 17, -2*x = -4*i - 22. Suppose -f + k - 8 + 13 = 0, 2*k = x*f - 13. Is f greater than 34? False Let z = 1319 - 1369. Are z and -6 equal? False Let z be (8/(-12)*(-12)/8)/(-4 - -5). Let q = -2279 + 316779/139. Which is greater: z or q? z Suppose -94*f + 87*f + 301 = 0. Suppose -25*k = -f*k - 18. Is -1/77 smaller than k? False Let c = -31
{ "pile_set_name": "DM Mathematics" }
5 + -635? -662 In base 4, what is -22033 - 30? -22123 In base 15, what is -3 - 1e3? -1e6 In base 14, what is 5 + 16? 1b In base 15, what is -4 - 446? -44a In base 5, what is 23 - 42? -14 In base 15, what is 7 - -2ad? 2b5 In base 14, what is 1a5 - 2? 1a3 In base 16, what is 2f + -1? 2e In base 3, what is 1 - 112201? -112200 In base 15, what is -2 - 17a? -17c In base 14, what is 18 + 24? 3c In base 5, what is -143 + -12? -210 In base 15, what is 44 - -2? 46 In base 16, what is 1 - -4e? 4f In base 15, what is d - 9? 4 In base 3, what is 101 - 221? -120 In base 9, what is -10 - 60? -70 In base 3, what is 102 - -1021? 1200 In base 15, what is 0 - d4? -d4 In base 12, what is -2 - 94? -96 In base 9, what is -4 + 17? 13 In base 3, what is -121222 + -10? -122002 In base 12, what is -10 + 1447? 1437 In base 8, what is -1 - -121? 120 In base 11, what is -9 + -9? -17 In base 8, what is -17 + 1162? 1143 In base 4, what is -3021 + 2? -3013 In base 7, what is -21 - -1033? 1012 In base 14, what is 3a10 - 2? 3a0c In base 7, what is 613 + 4? 620 In base 9, what is 170 - -6? 176 In base 4, what is -31313 + 21? -31232 In base 2, what is -111 - 1100010? -1101001 In base 16, what is -6 + -167? -16d In base 9, what is 6 - 1434? -1427 In base 16, what is -25 - 103? -128 In base 15, what is -6c7 - -3? -6c4 In base 15, what is 112 + -2b? d6 In base 15, what is 23 + -5? 1d In base 10, what is 27 - 2? 25 In base 13, what is -a - -286? 279 In base 11, what is a77 - 3? a74 In base 16, what is -3 + -fc? -ff In base 2, what is 111101011011 - -101? 111101100000 In base 6, what is 254 - -1? 255 In base 2, what is -1011011101 + 101? -1011011000 In base 7, what is -3 - 265? -301 In base 12, what is -3a7 + -b? -3b6 In base 11, what is -419 - -14? -405 In base 2, what is -11101110 + 110? -11101000 In base 3, what is 112 - -22? 211 In base 3, what is -10 - 1001? -1011 In base 11, what is 5 + -76? -71 In base 11, what is -1 - a22? -a23 In base 11, what is 21 + 13? 34 In base 11, what is -13 - a? -22 In base 12, what is -1 + -395? -396 In base 15, what is -724 - 5? -729 In base 6, what is 0 + 3323? 3323 In base 6, what is 20 - 4? 12 In base 12, what is 106 - -6? 110 In base 6, what is -23 + -23? -50 In base 5, what is -20 + -111? -131 In base 5, what is -2 - 222? -224 In base 16, what is -10 + -d? -1d In base 8, what is 1 - -702? 703 In base 9, what is 72 + 2? 74 In base 9, what is -3 - -7? 4 In base 8, what is -14 + -1451? -1465 In base 15, what is 3 + -e6? -e3 In base 3, what is 112021 + 11? 112102 In base 9, what is 134 + -23? 111 In base 9, what is -1117 - -4? -1113 In base 5, what is 320 + -22? 243 In base 3, what is 11 + 1201102? 1201120 In base 14, what is -3 + -8bd? -8c2 In base 12, what is -3 + 65? 62 In base 2, what is -10011011011101 + -1? -10011011011110 In base 5, what is 423 + -100? 323 In base 11, what is 5887 - 3? 5884 In base 8, what is -4227 + 3? -4224 In base 14, what is 4 + 3? 7 In base 11, what is 31a3 - -5? 31a8 In base 14, what is -8d51 - -1? -8d50 In base 4, what is 3 - -2022? 2031 In base 13, what is 1 - 9? -8 In base 5, what is -111343 + -4? -111402 In base 10, what is -57 + -21? -78 In base 3, what is -11 + -1112? -1200 In base 14, what is -651 + -1? -652 In base 2, what is 1110111 + -1000000? 110111 In base 5, what is -4 - -11? 2 In base 15, what is 5 + 37? 3c In base 10, what is 12 + 88? 100 In base 13, what is a7 - 28? 7c In base 11, what is 164 - -4? 168 In base 5, what is 112 + -4? 103 In base 12, what is 8 - -7? 13 In base 7, what is -34 + -1666? -2033 In base 8, what is 104 - -3? 107 In base 4, what is 21 + 113? 200 In base 6, what is 234 - 2? 232 In base 5, what is -1123 + 14? -1104 In base 16, what is 3 + -3? 0 In base 6, what is 5 + -131? -122 In base 5, what is -4 + 131? 122 In base 3, what is -1212 + -11011? -20000 In base 4, what is 130 - 10? 120 In base 8, what is -5 + -301? -306 In base 14, what is 4 - -314? 318 In base 10, what is -2145 + -2? -2147 In base 5, what is -1212324 + 2? -1212322 In base 9, what is 2 + 38? 41 In base 16, what is -6 + -4? -a In base 8, what is 251 - 3? 246 In base 11, what is -a - -353? 344 In base 14, what is 3a7 + 1? 3a8 In base 3, what is -10110002 - -12? -10102220 In base 13, what is -4 + -1187? -118b In base 4, what is -10 - -103? 33 In base 9, what is 3 - -561? 564 In base 12, what is -17a8 + 2? -17a6 In base 2, what is -1101000010111 + -101? -1101000011100 In base 3, what is 21 - -2010212? 2011010 In base 11, what is -1787 + 3? -1784 In base 2, what is 0 + 111001100? 111001100 In base 7, what is -1150 + -5? -1155 In base 7, what is 11604 + 2? 11606 In base 12, what is -12b - -2? -129 In base 2, what is 1010 - 1100? -10 In base 16, what is -c + -2d? -39 In base 12, what is 1 - 5? -4 In base 11, what is 1 - -31? 32 In base 3, what is -102221 + 11? -102210 In base 2, what is 1001010111111 - 0? 1001010111111 In base 16, what is -d + 0? -d In base 11, what is 20661 + -2? 2065a In base 10, what is -1 + 1? 0 In base 14, what is 1 + -63? -62 In base 2, what is -1 - -101000? 100111 In base 13, what is 372 + 3? 375 In base 13, what is 2 + -638? -636 In base 11, what is -995 + 2? -993 In base 10, what is -42 - -2? -40 In base 2, what is 100 - 1011000? -1010100 In base 3, what is 12012202 - 1? 12012201 In base 5, what is 1423 - 10? 1413 In base 2, what is 1 - -1110100? 1110101 In base 8, what is 1202 - 6? 1174 In base 9, what is 5 - -61? 66 In base 9, what is 11 - 277? -266 In base 6, what is -344 + -2? -350 In base 6, what is -33 + 453? 420 In base 7, what is 636 + 0? 636 In base 11, what is 4 - -180? 184 In base 2, what is -1001011110011 + -101? -1001011111000 In base 16, what is -5dd + 3? -5da In base 16, what is -5 + 37? 32 In base 3, what is 0 + 1010212? 1010212 In base 3, what is 1 + -111211? -111210 In base 9, what is 4 - 3480? -3475 In base 11, what is -6a + 13? -57 In base 12, what is -2 - -34a? 348 In base 8, what is -3 - 1120? -1123 In base 10, what is -19 - -116? 97 In base 13, what is -88 + 5? -83 In base 9, what is 2 - 2187? -2185 In base 3, what is 1001022 + 1? 1001100 In base 10, what is 3969 - -3? 3972 In base 5, what is 3 - 102? -44 In base 5, what is -1012 + 122? -340 In base 14, what is -da - -a? -d0 In base 14, what is 6 + 59a? 5a2 In base 6, what is 13532 + 5? 13541 In base 7, what is -33 + -16? -52 In base 14, what is 1b09 + 2? 1b0b In base 16, what is -8 + 69? 61 In base 13, what is a - 9a2? -995 In base 13, what is -1 + -ac? -b0 In base 10, what is 9 + -9? 0 In base 6, what is 4 + 100? 104 In base 12, what is -1 + -b8? -b9 In base 2, what is -11 + -10011101? -10100000 In base 4, what is 221 - 101? 120 In base 5, what is 2043033 + -4? 2043024 In base 4, what is -113 - -1020? 301 In base 12, what is 0 - 3b? -3b In base 15, what is -21 - 1? -22 In base 5, what is -4 + 201? 142 In base 8, what is 26 + 106? 134 In base 4, what is 0 - -3100? 3100 In base 15, what is -2c + 2? -2a In base 10, what is -4 + -6? -10 In base 5, what is -30304 + 23? -30231 In base 12, what is -8 + -1? -9 In base 7, what is -1 - 0? -1 In base 10, what is -372 - 2? -374 In base 10, what is 2309 - -4? 2313 In base 15, what is 34 - 5b? -27 In base 11, what is -3 + 433? 430 In base 11, what is -8 - 18? -25 In base 7, what is -54 + -4? -61 In base 11, what is -9 - -152? 144 In base 6, what is 3 - 143? -140 In base 13, what is 3a2a - -1? 3a2b In base 2, what is 101 - -1010001110? 1010010011 In base 15, what is -14 + 4? -10 In base 7, what is -560 - 4? -564 In base 5, what is 1110 + 2? 1112 In base 2, what is -1100110 - 1? -1100111 In base 16, what is 0 + -5b? -5b In base 15, what is -33 - -c? -26 In base 6, what is -3 - 30512? -30515 In base 5, what is 234 - 10? 224 In base 6, what is -21413 + -4? -21421 In base 15, what is -156 - 4? -15a In base 8, what is 144 - 2? 142 In base 9, what is 5 - -107? 113 In base 12, what is 8 - -36? 42 In base 9, what is 1 - 3670? -3668 In base 4, what is 20002 - 103? 13233 In base 6, what is 2 - 3402? -3400 In base 3, what is -11220 - -11? -11202 In base 3, what is 10 + -11001? -10221 In base 9, what is -27 - -8? -18 In base 12, what is 4b7 - 5? 4b2 In base 10, what is -5 + -43? -48 In base 3, what is 11 + -202122? -202111 In base 13, what is 39 - -1? 3a In base 4, what is 10 - -111? 121 In base
{ "pile_set_name": "DM Mathematics" }
o - 273*o - 14, 4*o = x - 18 for o. -5 Solve -4*y + 5*y = 3*a - 8 - 10, -47*a - 212 = 2*y - 70 for y. -24 Solve 10166*n + 7 = r + 10171*n, 4*r = -5*n - 32 for r. -13 Solve 0 = 2*d - 8443*p + 8440*p + 22, -5*d - 4*p = -37 for d. 1 Solve -5*c + 4*c + 74 = 16*a, 32*c + 28 = -3*a + 36*c for a. 4 Solve -2*c + 4*m + 191 = 2*c + m + 34, 5*m = 15*c - 570 for c. 37 Solve -23*g - 15*h + 90 = -27*g, 0 = 4*g + 2*h - 6*h + 24 for g. 0 Solve 546*i - 558*i + 2*m = -3*m - 70, -i + 5*m + 15 = 0 for i. 5 Solve 6*w - 4*h + 15 - 1 = 4*w, 109*h - h - 324 = 0 for w. -1 Solve 5*j = 3*x + 72, 2*j + 115 - 244 = -13*x - 86 for x. 1 Solve -4*b = 2*x - 1384 + 1346, -89 = -4*b - 5*x for b. 1 Solve -251*c + 425 = -5*b + 189, -c = 3*b - 10 for b. 3 Solve 3*k + 3*w + 57176 = 57161, -2*w = -k + 13 for k. 1 Solve -4*g - 3*z = 15, -136*g + z + 495 = -219*g for g. -6 Solve 490 = -15*b + 213*m - 208*m, -5*m + 28 = -b for b. -33 Solve 2 + 0 = -5*h - 5*m - 13, -32*h - 20 = -5*m + 2 for h. -1 Solve 2745*r - 2743*r + 322 = 9*t, 5*r + 3*t + 25 - 136 = 2*r for r. 1 Solve -m - 23 = 2*r, -4*r + 10 = 38*m + 12 + 8 for m. 1 Solve -36*i + 78*i + 41*x = 39*i + 1312, -4*x + 128 = 5*i for i. 0 Solve 12*a - 5339 = 11*l - 6670, -4*a - 436 = 4*l for l. 1 Solve -4*i - 47304 + 47348 = 2*u, 2*u - 34 = i for i. 2 Solve t + 21*w = -2*t + 20*w - 7, 973*t + 1 = 968*t + w for t. -1 Solve -t - 257 + 183 = -u - 2*t, -5*u = t - 358 for u. 71 Solve -30 = 3*o + i + 3*i - 1, -5*i - 38 = 5*o + 7 for o. -7 Solve 0 = 2*y - 106*g - 222, 9*g - 8*g + 13 - 26 = -3*y for y. 5 Solve -13*s + 0*s + 11280*l = 11284*l - 48, 4*s - 18 = 2*l for s. 4 Solve -2*f + 4*f - 3*f = -3*u - 100, 1417 = -f - 150*u - 3838 for f. -5 Solve -18*w - 8 = -14*w, -y + w + 13 - 19 + 15 = 0 for y. 7 Solve 7*c - z - 39 = 0, -5 = -1982*c + 1980*c - z + 1 for c. 5 Solve -284*k = -282*k - 6, 5*t - 8 - 3 = 6*t + 23*k - 28*k for t. 4 Solve -4*z + 54 = -9*u, 2*z - 2*u = 396659 - 396637 for z. 9 Solve 0 = -3*g - 3, 2*g - 4 - 1 = 4*o - 0 + 2 - 1 for o. -2 Solve 0 = 36*c - 37*c - 22, 3*r - 65*c + 68*c + 78 = 0 for r. -4 Solve -3*s = -2192142 + 2192241, -5*s = 5*d + 145 for d. 4 Solve -120*y + 243*y - 20 = 5*b + 124*y, 15 = -b + 2*y for b. -5 Solve c = -69358*t + 69356*t + 21, 0 = -13*c - 4*t + 295 for c. 23 Solve 41 = 3*b - 5*g, 5 = g + 7 + 2 for b. 7 Solve -2*u - 7*u = -3*b - 2*b - 4*u - 3*u + 23, 0 = -35*b - 5*u - 105 for b. -1 Solve 8*m - 77 = t, 121060*t - 121061*t - m + 13 = 0 for t. 3 Solve -1744720*h - 3*i = -1744719*h - 98, 3*i - 83 = 2*h for h. 5 Solve -22 = 8*c + 2229*h + 2232*h - 4466*h - 0, -5*h + 6 = -4*c for c. -4 Solve q - 23*r + 6*r - 22 = -4*q - 14*r, -15*r + 15 = 0 for q. 5 Solve 2*s = w + 83, -6*w + 315 = 10*s - 111 for s. 42 Solve 3*c - 8*o + 75 = 0, -3*c + 4*o + 1175172 - 1175235 = 0 for c. -17 Solve 0 = -5*n - 4*d - 2039 + 2208, 208 = -75*n + 78*n + 5*d for n. 1 Solve 5*v - 15 = 4*r, 19 = 44088*r - 44087*r - 3*v + 5*v for r. 5 Solve -3*l - 5*b = -9, 35352*l + 3*b = 35335*l - 25 for l. -2 Solve 4*k - 42 = 2*w, 0*w - 17 = -284*k + 282*k - 3*w for k. 10 Solve -206*y = -3*i - 211*y + 51, 3*i = 8*y + 51 for i. 17 Solve 3*h - 8*h - 77 = -2*r, -6047*r + 6040*r + 202 = 5*h for r. 31 Solve 20*q = -633*r - 629*r + 1265*r + 75, -2*r - 20 = -5*q - r for q. 3 Solve -3*o + 0*o + 4*y - 110 = 0, -57*y = -11*o - 62*y - 423 for o. -38 Solve -3*r = -148*k - 891, 267*r + 266*r - 1 = k + 538*r for k. -6 Solve 3*s = -4*g - 26, s - 5*g - 6906 = -6902 for s. -6 Solve -8895470*i + 8895500*i = -3*l - 42, 5*l + 21 = -i for l. -4 Solve -71*p = 11*n - 8*n - 116*p - 109*p + 582, 3*n + p = -117 for n. -40 Solve -4*k + 4*h + 4 + 4 = 0, -3*h + 2*h - 8 = h - 6*h for k. 4 Solve 7762*s - 2*j = 7762*s + 2, 0*s + 0*s + 5*j + 39 = 2*s for s. 17 Solve -54*z + 442 = -2*i, -398*i + 395*i + 1 = z + 8 for z. 8 Solve -2*f - 12 = 2*b, -5*b - 16*f + 125 - 1 = -165*f for b. -5 Solve -2*v - 26 = -d, 319*v - 322*v - 5*d = -182 for v. 4 Solve 2*r - 157734*x = -157735*x + 5, 0 = 3*r - 5*x + 25 for r. 0 Solve 5*m - 104*a + 99*a - 45 = 0, -3*a - 59 = -6*m - 2*a for m. 10 Solve -3*x = -5*g + 38 + 2 + 6, -4*x + 2 = g - x for g. 8 Solve 118741 = 2*y - 4*i + 118355, 2*y - i = -0*y + 104 for y. 5 Solve 11*y - 4*y + 182 = -3*t + 3*y, 2*y - 18 = 6*t - 124 for t. 2 Solve 5*z + 57 = 4*m, 0 = -4*z - 701400*m + 701395*m + 20 for z. -5 Solve 0 = 3*k + u + 199 - 227, -16*u - 103 = 10*k - 19*u for k. -1 Solve -3*s = 4*q - 79, -3*s - 15*q + 4*q = -107 for s. 21 Solve 4*p - 6*h = -9*h - 9, -18 + 53 = -5*h for p. 3 Solve -776*a + 80 = -780*a - 2*s, -2*a = -3*a - 3*s - 10 for a. -22 Solve -2*o - 3*q + 4 = 0, 720*o - q = 719*o + 2 for o. 2 Solve 5*r = -p - 25, p - 14*r = 40 + 32 - 21 for p. -5 Solve -7*q = -9*q + 7*q - 10*f - 55, -2*q - 16*f = 78 for q. 1 Solve -4*z - 2*p = -26, -121074*z = -121070*z - 2*p - 14 for z. 5 Solve -8286*h + 8287*h = -6*f - 177, 10*h - 150 = 4*f for h. 3 Solve 2*z - 70 = -2*o, 0 = 3*z + 4*o - 34833 + 34726 for z. 33 Solve -6*r = 12*h - 102, 2*r - r = 19*h - 22*h + 27 for h. 10 Solve 273*v - 277*v - 3*y + 21 = 1, 2*y + 32 = 3*v for v. 8 Solve 2*n - 2*b = 8, -7*b + 3273521 - 3273507 = 0 for n. 6 Solve -16*h = 5*b + 17, 2*h - 7*h - 279*b - 166 = -148*b - 186*b + 9 for h. -2 Solve -5*d = 4*g + 96, 0 = 2*d - 1510*g + 1500*g - 240 for d. 0 Solve -4*m = b - 28, b - 3024021*m + 3024023*m - 11 + 8 = 13 for b. 4 Solve 4*p + 5*k + 48 = 0, 0 = 506*p - 531*p + 5*k - 155 for p. -7 Solve -11*c = 5*p + 36, -2*p - 2*p + 183*c - 15 = -182*c + 360*c for p. -5 Solve 41 - 43 = b - 5*h, -47 = -15*b - 2*h for b. 3 Solve -11*p + 65 = -p + v + 4*v, 2*p = -3*p + 2*v + 19 for p. 5 Solve 0*n + 30 = 4*o - 5*n + 12 - 153, -12*n = 3*o - 79 + 502 for o. -1 Solve -119 = -4*g + 221, 522*g - 524*g + 158 = -4*s for s. 3 Solve 5*h - 8901 + 8912 = -3*t, 3*h = 4*t + 63 for t. -12 Solve 3*b - 3*b = 4*y - 40, -8*y + 123 = 36*b + 151 for b. -3 Solve -618*l = -5*g - 613*l + 40, -6*g + l + 23 = 0 for g. 3 Solve -p = -4*g - 360, 8*g + 3249 - 2533 = 3*p for p. -4 Solve -y = -961*f + 958*f + 8, 2*y + 10 = 4*f for y. 1 Solve -2*p - 24 = 3*w, -4*w + 5*p = -30*w + 23*w - 42 for w. -4 Solve -5*r = -4*c - 6838 + 6736, 3*r = 4*c + 66 for c. -3 Solve 7*d + 11*d = 23*d - 3*i - 14, 37*d - 142 = -d + 5*i for d. 4 Solve 1707*f - 1717*f = -4*g + 118, 5*g - 3*f = 43 for g. 2 Solve -5*o = b - o + 2, 0 = -3*b - 1713*o + 1712*o - 6 for b. -2 Solve -2*g + 3*b - 703 = -717, -g - 20 = 3*b for g. -2 Solve 0 = -n - 5*z - 30, -117*z + 99*z - 54 = 0 for n. -15 Solve 204885*p - 204888*p - 3 = 0, 0 = -3*x - p - 100 for x. -33 Solve 3*f - 5*v + 114 = 0, 7474 = 3*f + 4*v + 7561 for f. -33 Solve -557*o + 562*o - 58 = a, -2*o + a = -26 + 1 for o. 11 Solve -52270*c + 52265*c - 155 = -5*u, 14*c + 369 = u for u. 5 Solve -3*w - 392*m + 389*m - 39 = 0, w + 49*m - 83 = 0 for w. -15 Solve 0 = -k + 4*y - 6*y + 8, -2*y + 51 = -4*k - 16*k - 6*y + 247 for k. 10 Solve -4178*g + 78 = -4180*g, -4*n - 6*g - 290 + 29 = g for n. 3 Solve 20048*n = 20052*n + 6*c - 58, -c = 3*n - 33 for n. 10 Solve 5*v = 3*u - 237, -2*u = -15563864*v + 15563859*v - 238 for v. -48 Solve 4*t = 3*n - 60, 781*n - 5*t = 785*n - 80 for n. 20 Solve -45 + 98 = -7*d + i + 78, -4*i + 7*i + 21 = 3*d for d. 3 Solve 294*d = 280*d + 6*u + 38, d - 9 - 13 = -7*u + u for d. 4 Solve -s - 334 + 248 = -5*i, 5*i = -5*s - 430 for i. 0 Solve -2*l = 3*o - 64, 387*l = 2*o - 395*l + 781*l + 25 for o. 2 Solve 69175*y - 46 = 69176*y - 4*f, -3*y + f - 83 = 0 for y. -26 Solve -47899*k + 18 = -2*t - 47895*k, 0 = 10*t + k + 111 for t. -11 Solve -33 = 44*a - 41*a - 3*l, 3*a + 5*l - 15 = 0 for a. -5 Solve -2632*q - w + 6 = -2634*q, 3*w = -q - 3 for q. -3 Solve -12*b - 2*s = 2*s + 428, -28*b = -26*b - 5*s + 60 for b. -35 Solve -18*x = -15*x - 5*b - 21 - 10, 5*b = -7*x - 61 for x. -3 Solve 2*p = y + 5 + 13, -45654*y + 45659*y + 2 - 22 = -p for p. 10 Solve y + 2*y - 93 = 3*k - 81, -3*y = -k - 12 for y. 4 Solve -c + 59 = 4*z, 16004*z - 16007*z + 36 + 14 = -5*c for z. 15 Solve -34*o = -26*o - 15*x + 14*x - 2, 9*o + 4 = -2*x for o. 0 Solve -2*n - 28418 + 28437 = 3*v, -n - 22 = -3*v for v. 7 Solve -3*k - o = 5, 18*o + 0 - 5 = -5*k + 15*o for k. -5 Solve 5*b + 3*c + 26 = 1, 3*b - 8*c + 15 = 0 for b. -5 Solve -4*f + 11*t = -2, t = 6*f - 1052 + 1080 for f. -5 Solve 37*i = v - 3051 + 3230, -3*i + 8 = i - 2*v for i. 5 Solve 21 =
{ "pile_set_name": "DM Mathematics" }
or t. 2 Let h(c) = c**3 + 6*c**2 - c - 26. Let d be h(-5). Solve -d*p = -p + 15 for p. -5 Let t = -252 - -428. Let k = -111 + t. Suppose 0 = -5*q - 5*y + k, -104 + 9 = -5*q + 5*y. Solve -4*u + 0 = q for u. -4 Let p be (15/10)/((-6)/(-16)). Suppose -i + 5 = 5*m, -6*i + 15 = -p*m - 3*i. Let v be (8/2)/(-4)*m. Solve v = -j + 6*j - 20 for j. 4 Let v(c) = -c**2 - 5*c. Let q be v(-4). Solve -2 = -q*l + 2 for l. 1 Suppose -18*l = -14*l - 64. Let x(n) = -n**2 - 10*n - 12. Let w be x(-7). Solve 5*r = -w - l for r. -5 Suppose -4*a + 7*a - 15 = 0. Suppose 0 = -3*q + 5*f + 64, a*q = 5*f - 15 + 105. Solve -5 = -2*s - q for s. -4 Let c(s) = s + 3. Suppose 0 = o + 4*o + 2*o. Let b be c(o). Solve -b = -2*g - 1 for g. 1 Let v(m) = -2*m**3 - 18*m**2 - 13*m + 24. Let q be v(-8). Solve -l + 7*l + 30 = q for l. -5 Let w be 1/(-2) + 3/6. Suppose 3*r = 5*r - 5*l - 25, w = 4*r - l - 5. Solve r*g - 1 = g for g. -1 Let l(w) = -83*w - 1. Let h be l(1). Let q be (28/h)/(2/(-24)). Solve -4*m - q = 4 for m. -2 Suppose 3*m = -2*k + 15, 4*m = -2*k + 16 + 2. Suppose -k*u - 2*u + 35 = 0. Solve u*s = 4*s for s. 0 Let k be -2*(225/(-6) - 3). Let a = -141 + k. Let r be a/35*(2 + -9). Solve r = g + 2*g for g. 4 Suppose 5*i - 10 - 5 = 0. Suppose 2*l + i*n = -l - 6, -2 = 4*l + 2*n. Solve 0 = -s - 3 + l for s. -2 Let p(d) = -1 + 2*d - 3*d + 8*d + 0*d. Let x be p(1). Suppose 0 = x*i - 5*i. Solve i + 5 = -t for t. -5 Let m = 0 - -7. Suppose v = -3*x - 4, v = 4*x + x + 20. Solve -2*j = -m*j - v for j. -1 Suppose 2*m - 3*m = -4. Let s be (-7)/((-35)/m)*45. Let w = -34 + s. Solve w*o - o = -1 for o. -1 Suppose -10 = 5*c, 4*m - m = -2*c + 5. Let l = 2 - m. Let f be 4/(3 + -2 - l). Solve 0*x - f*x = 8 for x. -4 Suppose -3*a + 16 - 131 = -5*r, -r - 2*a = -36. Solve -5*s = -r*s - 105 for s. -5 Let y = 37 - 37. Suppose 7*s - 53 + 18 = y. Solve 3*l - s = 4 for l. 3 Let d be (-6)/(-8) + (-6)/8. Solve d = 7*k - k - 12 for k. 2 Suppose 0 = -4*c + c + 15. Suppose 0 = 4*p - c + 13. Let y = p - -2. Solve 5*l - 20 + 5 = y for l. 3 Suppose -6*l + 12 = -3*l. Let w(p) = -p**2 + p + 13. Let t be w(-3). Solve -y = -l - t for y. 5 Suppose j = 2 - 4. Let w be (3/9)/(j + (-13)/(-6)). Solve -w*s - 8 = -0 for s. -4 Let s(a) = a + 11. Let b be s(-6). Let x = 204 - 199. Suppose 0 = -n + 2*n. Solve b*r - x = -n*r for r. 1 Suppose 9*w - 14*w - 10 = -4*z, 2*z = 5*w. Solve -75*p - w = -74*p for p. -2 Let w be ((1 + 1)/4)/(15/90). Suppose 0 = -4*j - 5*c + 16, -4*c = c + 20. Solve -6*k + j = -w*k for k. 3 Let v be 12/(-21) + 25/7. Suppose 4 + v = u. Solve 0 = -u*f + 4*f for f. 0 Let a(x) = -x**2 - 6*x + 1. Let c be a(-6). Solve 7*m + c = -6 for m. -1 Let g be 7/(-2 - 18/(-8)). Suppose -2*i - 4*c = -5*i + 21, -4*i + g = 5*c. Solve -19 = 4*m - i for m. -3 Suppose 50*s - 53*s = -15. Solve -3*f = -4*f - s for f. -5 Suppose -o - 4*g = 15, 39 = -8*o + 3*o - 2*g. Let r = 12 + o. Solve 0 = r*a - 2 + 7 for a. -1 Suppose d + 32 = 42. Solve -29*i + d = -31*i for i. -5 Let d be (-14)/(((-4)/(-6))/(-1)). Let b be -3 + (d/(-1))/(-3). Suppose -2*f + 4 = -5*k - 18, b*k = 2*f - 18. Solve 4 = n + f for n. 3 Let n be 3 + (-1 - (2 - 2)). Let v(u) = 2*u**2 - 5*u - 14. Let c be v(-2). Solve -c*y + 10 = -n*y for y. 5 Suppose -19 = 11*q - 12*q + 2*x, -2*q - 5*x + 20 = 0. Solve -2*j - 3*j = -q for j. 3 Suppose 0 = -234*v + 219*v + 240. Solve 13*o = v*o + 9 for o. -3 Suppose 0*n = -5*n + 25. Suppose 6*f = n*f + 25. Solve 8*z - f = 3*z for z. 5 Let r = 14 - 14. Suppose 2*l - 8 = -r*l. Suppose -2*h = -l*y + 12, -7*y - 5*h = -6*y - 14. Solve -4*j + y - 12 = 0 for j. -2 Let s = 742 + -712. Solve 0 = -s*p + 23*p + 21 for p. 3 Let j(o) = -10*o + 16. Let u(w) = 3*w - 5. Let s(n) = -4*j(n) - 14*u(n). Let i be s(4). Let h be i/(7/(14/(-4))). Solve 0*l + l = -h for l. -1 Suppose 5*p - 45 = 2*p. Let z be (-4)/4 - 5/(-1). Solve z*m - m = p for m. 5 Let r = -145 + 115. Let q = -28 - r. Let n be (0/1)/(0 + 1). Solve n*g + g = -q for g. -2 Let t = -40 - -43. Solve 4*f = 11 - t for f. 2 Let r be -35 - -39 - 4/(-2). Let l = 3 + 0. Solve 0*j - l*j = -r for j. 2 Let v = 318 - 329. Suppose 0*g + g - 13 = 0. Let j = v + g. Solve -j*y + 6*y - 8 = 0 for y. 2 Let m(b) = 5*b**3 - 2*b**2 + b + 2. Let t be 6/(-9) + 48/18. Let x be m(t). Let k be x/10 - 6/(-15). Solve -j + k*j + 12 = 0 for j. -4 Suppose -15*q = -19*q. Solve -5*x + 23 + 2 = q for x. 5 Let u(z) = -z**3 - 7*z**2 - 4*z + 3. Let k be u(-6). Let c = k + 34. Let v = c + -22. Solve -v*j + 15 = -0*j for j. 5 Suppose -5*z - 17 = -82. Solve 4*v + 21 = z for v. -2 Let j(t) = -t**3 - 31*t**2 + 31*t - 29. Let l be j(-32). Suppose -i - 5 = -5*c, 4*c + 15 = -c + 5*i. Solve c*p + 1 = l for p. 1 Suppose 69 = -27*i + 393. Solve 8*b - i*b - 12 = 0 for b. -3 Let k(d) = 5*d**3 - 8*d**2 + 3*d + 4. Let y(c) = 14*c**3 - 24*c**2 + 10*c + 12. Let p(w) = -11*k(w) + 4*y(w). Let m be p(7). Solve 2*h + 6 = -m for h. -5 Let n = 240 + -235. Solve -4*a = n*a for a. 0 Suppose 0 = -4*w + 16, -g = w - 4*w - 38. Let y = -47 + g. Solve 2 + y = c for c. 5 Let n(f) = -4*f - 4*f - 2*f. Let s be n(-1). Solve 3*k + s = -2*k for k. -2 Suppose 0 = -50*t + 16*t + 102. Solve -18 + 12 = -t*l for l. 2 Let l be -3 + (-8 - -10) + 0 + 4. Suppose 5*v = -r - 3*r + 13, v + l = 2*r. Solve 0 = r*d - 4 for d. 2 Let q be 469/91 - 2/13. Suppose 136 - 11 = q*t. Solve t = -4*n + 9 for n. -4 Suppose -4*d - 40 = -6*a, 3*d + 35 = 5*a - 0*d. Let w = 2 + -2. Solve -5*v + w = -a for v. 2 Let k(s) = 2*s**3 - 23*s**2 + 55*s + 14. Let a be k(8). Solve 2*l = a*l - 4 for l. 1 Suppose 3*f - 379*l - 28 = -381*l, 2*f = -2*l + 22. Solve -47*y + 44*y = f for y. -2 Let g(r) = -r - 17 + 17 + 14. Let m be g(12). Solve -m*n + 9 = -5*n for n. -3 Let q(g) = -3*g. Let i be q(1). Let a be (-136)/(-24) - 1/i. Suppose -l = l - a. Solve -z - 6 = -l*z for z. 3 Suppose 0 = -95*n + 98*n - 9. Solve n = d + 4 for d. -1 Suppose 4*x + 0*x + 160 = 0. Let h = 46 + x. Solve 4 - h = -w for w. 2 Suppose 84 = -6*r + 12*r. Suppose -r*o = -6*o - 16. Solve 4*a - 6 = o for a. 2 Let g = 117 + -100. Suppose 0 = -6*d + g*d. Solve -2 = -w - d for w. 2 Let y = 5 - -40. Suppose 2*g = 5*g - y. Suppose 3*w - 5*w = -4*p - 20, 0 = 5*p + g. Solve w*q = 5*q for q. 0 Suppose 4*d - 536 - 80 = 0. Let r = 156 - d. Solve -1 = r*z + 7 for z. -4 Suppose 109*q - 3668 - 7995 = 0. Solve 19*y - q + 12 = 0 for y. 5 Let n be 3*(35/(-3))/(-5). Let h(b) = -2 - 5*b + n + 6 + 4*b. Let j be h(6). Solve 0 = 3*s - j - 1 for s. 2 Suppose 0 = -6*k + 244 - 70. Suppose k = s + 23. Solve -z = -s*z for z. 0 Suppose 5*a - 19 = -4*v + 2*a, 2*v + 2*a - 8 = 0. Solve -5*t + 8 = -v for t. 3 Suppose 157 + 47 = 6*b. Solve 22*u - 5*u - b = 0 for u. 2 Let m = 692 - 651. Solve 5*h + 31 = m for h. 2 Let h = 35 - 35. Let v(r) = -r**3 + 4*r**2 + 4*r - 6. Let k be v(5). Let d = -8 - k. Solve h*t + 9 = d*t for t. 3 Let a(b) = -2*b**2 - 4*b + 4. Let z be a(0). Suppose -y = z*m - 41, -m - 4*m + 50 = y. Let j be (1 - -6) + 0 + -1. Solve m = -5*n - j for n. -3 Let u be (10/(-8))/(1/(-4)). Suppose 3*z = -u*i + 32, 4*i = z + 3 + 9. Solve r = 5*r - i for r. 1 Let d(c) = -c**3 + 7*c**2 + 7*c + 11. Let o(g) = -g**3 + 3*g**2 + 3*g - 2. Let x be o(2). Let t be d(x). Suppose 5 = -t*h + 14. Solve 14 = -h*l + 2 for l. -4 Let f = 12 - 9. Let m be (10/(-2))/(f - 4). Suppose -m*y = -v - 13, -35 + 8 = -v - 5*y. Solve 4*s = 1 + v for s. 2 Let r be -5 + 5 + (-12)/(-3 - -1). Solve 2*z = r*z - 8 for z. 2 Let c be 6/(-9)*(-945)/18. Solve -5*x + 10 = c for x. -5 Let u be (-2 + -2 - -3)*(-13 - -2). Let j = -1 + u. Solve 0 = -3*v + v + j for v. 5 Suppose -4*y + 4*q + 4 = 0, 0*q = -3*q + 9. Solve -t - 8 = -y for t. -4 Suppose 11*t - 16*t + 5 = 0. Suppose -5*l - t + 30 = 2*u, u + 4*l = 22. Suppose -u*b = 1 - 9. Solve b*d + 15 = d for d. -5 Let n(u) = u**3 - 2*u**2 - 4*u + 5. Let h be n(3). Solve -h = 2*x + 2 for x. -2 Suppose 83*w = 245 - 79. Solve w*g = 4*g - g for g. 0 Suppose -4*n - 8 = -4*t, 0 = n - 2*n - 5*t + 22. Solve n*o = -0*o - 8 for o. -4 Let a be 4/(((-4)/(-6))/1). Suppose 0 = -4*f - 4*t + 44, -t = -0*f - 2*f + 7. Let m = f - a. Solve -3*j + m*j = 6 for j. -2 Let y = 925 - 925. Suppose 4*s - 2*p = 2*s + 8, 0 = 5*p - 5. Solve y = -s*i + i for i. 0 Let c be -2 + (3 - 1) - 0. Let v be (-3)/(-1)*(-2 + 3 - c). Solve -v*x + 2 = -1 for x. 1 Let k(j) = -3*j**2 - 45*j - 27. Let y be
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of v? 3, 5 Let q(j) = 0*j + 0 - 5 - 2*j. Let z = 54 + -62. What are the prime factors of q(z)? 11 Let v(y) = -y**2 - 2. Let a be v(0). Let u(c) = -8*c - 1. What are the prime factors of u(a)? 3, 5 Suppose -f + 268 = 3*j, -3*f - 441 = -5*j + f. List the prime factors of j. 89 Let y be 106/4 + (-3)/(-6). Suppose 2*m = t + y, 3*m + 3*t - 31 = 14. What are the prime factors of m? 2, 7 Let u(g) be the second derivative of g**5/20 + g**4/12 - g**3/6 + 4*g**2 - 3*g. List the prime factors of u(0). 2 Suppose -m = -k + 30, 3*k + k - 5*m - 117 = 0. List the prime factors of k. 3, 11 Let d = -29 - -304. What are the prime factors of d? 5, 11 Suppose -5*s + 11 = -4. Let b = 16 - s. What are the prime factors of b? 13 Let a be (-2)/4 - (-22)/4. Suppose -5*c = 4*y - 4*c - 97, -5 = -a*c. List the prime factors of y. 2, 3 Let y(c) = -61*c - 12. List the prime factors of y(-4). 2, 29 Let i = -80 + 89. List the prime factors of i. 3 Suppose -4*m + m + 2*k = 38, -2*m = 3*k + 21. Suppose -65 = 6*x - 239. Let l = m + x. List the prime factors of l. 17 Suppose 4*d - 117 = -3*j + 2*d, 2*j = 2*d + 78. What are the prime factors of j? 3, 13 Let o = 9 - 6. Suppose 0*v + o*v + i - 4 = 0, 2*i = -4*v + 2. Suppose 48 = t + v*t. What are the prime factors of t? 2, 3 Let n = 3 - -8. Let j(l) = -l + 13. Let q be j(n). Suppose -14 = -q*o + 26. What are the prime factors of o? 2, 5 Suppose 13 - 1 = -2*h. Let v be 230/h - 1/(-3). List the prime factors of v/(-6) - 4/12. 2, 3 Let s(v) be the second derivative of v**3/3 - v**2/2 - v. Suppose 5*y = 0, d + d + 2*y - 8 = 0. List the prime factors of s(d). 7 Let n(m) = 7*m + 6. What are the prime factors of n(5)? 41 Let i be -1 + 3 + 3 + -2. What are the prime factors of (16/(-10))/(i/(-15))? 2 Suppose -2*g = y + 3*y + 14, 0 = 3*y + 3*g + 3. What are the prime factors of (-58)/y - 10/15? 3 Suppose -1 = -2*a + 3*a. List the prime factors of (a + -9)*(-12)/8. 3, 5 Let w(o) = -3*o - 1. Let q be w(-1). Suppose -q*c = 2 + 2. Let l(b) = -3*b**3 - 3*b**2 - 3*b - 1. List the prime factors of l(c). 17 List the prime factors of ((-4 - -2)/6)/((-12)/4068). 113 Let f = -81 + 125. List the prime factors of f. 2, 11 Let s = 168 + 118. What are the prime factors of s? 2, 11, 13 Let y(r) = r + 6. Let h be y(-3). Let d(z) = 4*z - 4. Let j be d(h). Let t = j - 4. List the prime factors of t. 2 Let f = 8 - 4. What are the prime factors of f? 2 Let l = -41 - -48. What are the prime factors of l? 7 Suppose 4*h + 5*d - 441 = 4*d, -2*d - 108 = -h. Suppose 5*g + 5*k - h = 0, 5*k = 5*g + k - 119. List the prime factors of g. 23 Suppose -n + 52 = 5*t - 75, -n + 143 = -3*t. List the prime factors of n. 137 Let u(t) = -6*t + 37. List the prime factors of u(-10). 97 Suppose -2*t + 5 + 1 = 0. Suppose -2*z - 3*p + 7 = 0, 0 = t*z + 4*p - 5*p - 5. Suppose -h - 11 = -2*a, z*h = 5*a - 2*a - 17. List the prime factors of a. 5 Let u = 289 - -34. What are the prime factors of u? 17, 19 List the prime factors of (9*1)/((-10)/(-90)). 3 Suppose 4*y = -y. Suppose y*i - 2*i = -18. What are the prime factors of i? 3 Let j be 1/(1/(4/2)). Suppose j*x = -0*x + 90. Suppose -3*f + x = 3*y, -5*y + f = -4*y - 7. List the prime factors of y. 11 List the prime factors of 13/(-26)*158/(-1). 79 Let x = 0 + 165. What are the prime factors of x? 3, 5, 11 Let d(j) be the first derivative of -j**2 - 9*j + 5. What are the prime factors of d(-17)? 5 Let v(y) = -y**2 + 6*y. Suppose -3*q + 2 + 16 = 0. Let r be v(q). Suppose r = 5*u + 4*b - 121, 2*u + 3*b + 36 = 90. List the prime factors of u. 3, 7 Let z be ((-2)/(-2))/(3/21). Suppose z = 4*y - 3*y. List the prime factors of y. 7 Let k be (-66)/(-24) + (-6)/8. Suppose 12 = k*w - w. List the prime factors of w. 2, 3 Suppose 3*m = 2*m - 1. Let k(y) = -y**2 + 4*y. Let b(v) = v - 1. Let n(t) = m*k(t) + b(t). What are the prime factors of n(5)? 3 Suppose -10 = -7*j + 2*j. What are the prime factors of 4*(j - 3/12)? 7 Suppose 0*y - 5*s = -y + 1, 2*s - 14 = -2*y. Suppose -8*l = -y*l + 18. Let t = 9 - l. What are the prime factors of t? 2, 3 Let m be (4/4)/((-1)/17). Let y = m - -29. What are the prime factors of y? 2, 3 Suppose 8*m + 5 = 3*m. Let x(i) = -4*i - 4*i + 5*i - 6*i. List the prime factors of x(m). 3 Suppose 4*t = -9 + 25. Let f = 46 + -27. Let j = f - t. What are the prime factors of j? 3, 5 Let o be (0/(-2) - -1)*28. Suppose 0 = 5*h - 11 - 19. Suppose -h*w = -2*w - o. What are the prime factors of w? 7 Suppose 0 = -9*d + 163 + 89. What are the prime factors of d? 2, 7 Let r be (-10)/(-7)*(-9 - -16). What are the prime factors of r/(-5) - (-42 + 1)? 3, 13 Let y(g) = -4*g + 7. Let b be y(-6). Let w = b + -19. What are the prime factors of w? 2, 3 Suppose -6*h = -182 - 238. List the prime factors of h. 2, 5, 7 Let g(u) = -u**3 - 4*u**2 - 3*u - 5. Let x be g(-5). Suppose x - 103 = -4*l. List the prime factors of l. 17 Suppose 1 = -y - 2, 3*j - 6 = 2*y. Suppose 4 = -j*p + 2*p. What are the prime factors of p? 2 Let h = 28 - 0. Suppose o + 3*o + h = 0. What are the prime factors of (-192)/(-14) - 2/o? 2, 7 Let h(p) = -p + 12. Let s(k) = -k + 6. Let c(y) = -6*h(y) + 11*s(y). List the prime factors of c(-7). 29 Suppose -c - 5*f - 12 = 0, 4*c - 1 = 2*f - 5. What are the prime factors of -69*5/(15/c)? 2, 23 Let h(p) = p - 16. Let i(r) = -1. Let z(t) = -h(t) + 6*i(t). List the prime factors of z(0). 2, 5 Let n(b) be the third derivative of 3*b**2 + 0*b - 1/12*b**4 + 1/120*b**6 + 0 + 1/15*b**5 - 2/3*b**3. What are the prime factors of n(-4)? 2 Suppose 163 = 5*b + 8. Suppose -5*x = -9 - b. What are the prime factors of x? 2 Suppose 67 = 2*a + 15. Suppose 0 = -z + 2*z - a. What are the prime factors of z? 2, 13 Let f(l) = l**3 - l**2 - 10. Let y be f(0). Let n = -6 - y. What are the prime factors of n? 2 Suppose 4*q + 7 - 25 = -d, -45 = -5*d - 5*q. Suppose g - d = -g. What are the prime factors of g? 3 Let x = -15 - -18. List the prime factors of x. 3 Let v = 42 - 20. Suppose -c + v = 2. List the prime factors of c. 2, 5 Let h(n) be the second derivative of -n**3/2 - n**2/2 - 2*n. Let u be h(2). Let f(c) = c**2 + 7*c + 5. List the prime factors of f(u). 5 Let l = 21 + -5. What are the prime factors of l? 2 Suppose 0 = 4*z + 226 - 790. What are the prime factors of z? 3, 47 Suppose 4*x = -3*x + 168. List the prime factors of x. 2, 3 Suppose -l = 5*v + 13 - 3, -37 = 4*v - 5*l. Let u(x) be the third derivative of -x**4/6 + x**3/6 - x**2. What are the prime factors of u(v)? 13 Let q(p) = 2*p - 4. Let h(c) = 8*c**3 + c. Let w be h(1). Suppose 4*z = z + w. List the prime factors of q(z). 2 Let u = -66 + 47. List the prime factors of (-7)/21 + u/(-3). 2, 3 Let b(o) be the first derivative of o**5/60 + o**4/6 + o**2 + 2. Let l(j) be the second derivative of b(j). What are the prime factors of l(-6)? 2, 3 Suppose -4*s + 149 - 589 = -5*a, 4*a = -4*s + 388. What are the prime factors of a? 2, 23 List the prime factors of -6 + 4/2 - (-500)/2. 2, 3, 41 Suppose 13 = 5*t - 2. Let y(u) = u - t*u**2 + 7*u**2 + 1 + u**3 + u. What are the prime factors of y(-3)? 2 Suppose t - 445 = -3*d + 5*t, -2*t = 2*d - 306. List the prime factors of d. 151 Let t(g) = 3*g**2 - 2. Let o be t(-3). Let k(r) = -12*r**2 + r. Let m be k(-1). Let d = m + o. What are the prime factors of d? 2, 3 Let c(o) = o**2 - 2*o + 3. Suppose -3*p = -4*h + 1 - 5, -2 = -p + 2*h. Suppose 5*y - 4*i + 10 = p, 0 = 5*y - y - 3*i + 7. What are the prime factors of c(y)? 3 Suppose 0 = 4*i - 16 + 4. Let o = 2 - 2. Suppose k - i*k + 8 = o. List the prime factors of k. 2 Let f(n) = 2 - 9 + 10*n - 1 - n**2. What are the prime factors of f(8)? 2 Let u(m) = -11*m**2 + 12*m**2 + 13*m - 2*m + 18. List the prime factors of u(-12). 2, 3, 5 Suppose w = -0*w. Suppose w = x - 1 - 5. What are the prime factors of 4/x + (-20)/(-6)? 2 Suppose -3*l = 3, -3*q + 7*q - 452 = 4*l. What are the prime factors of q? 2, 7 Suppose 0 = 2*f - 3*f - 5. List the prime factors of 16/5 - (-1)/f. 3 Let h(q) = q**3 + 5*q + 5 - 5*q + 5*q**2. Let i be (-9 + 0)/3 - 1. What are the prime factors of h(i)? 3, 7 Suppose b - 191 = -4*c - c, -3*b = -4*c + 168. List the prime factors of c. 3, 13 Let d(a) = -4*a - 26. List the prime factors of d(-10). 2, 7 Let s(x) = -x**2. Let u be s(2). Let o = -10 - -1. Let f = u - o. What
{ "pile_set_name": "DM Mathematics" }
(300) - (sqrt(6)/(-5*sqrt(2)) - sqrt(3)))**2 + ((-5 + 1 + sqrt(300))*1)**2. -624*sqrt(3)/5 + 17408/25 Simplify 5 + -5*((4*sqrt(108))/(sqrt(45)/(sqrt(15)/sqrt(3))))**2. -955 Simplify (-3*(sqrt(112) - (2 + sqrt(112))*2)*-5 + -1 + 2 + 1)**2. 6960*sqrt(7) + 28564 Simplify (-3*-5*-1*sqrt(288) + -2 - -1*(sqrt(450) + sqrt(450) + -1*sqrt(450) - (-1*sqrt(54))/sqrt(3)))**2. 648*sqrt(2) + 52492 Simplify (0 + (1*(sqrt(240) - sqrt(15)))/(sqrt(80)*5) - (-1*sqrt(21)/(sqrt(63)*-1) + -4))**2. -22*sqrt(3)/15 + 19321/1200 Simplify (1*sqrt(152)*-3 + sqrt(152) - (sqrt(152) - (1*sqrt(152) + sqrt(152)))*-5)/(-5*(sqrt(8) - (sqrt(8) - sqrt(16)/sqrt(2))*4)) + -3. -3 + 7*sqrt(19)/5 Simplify 4*(sqrt(495)*3)/(2*sqrt(1584) + sqrt(11))*4. 144*sqrt(5)/25 Simplify -3*(4*sqrt(735)*6 + sqrt(735))/(sqrt(10)/sqrt(98)*-1) + 2. 2 + 3675*sqrt(3) Simplify (sqrt(1188) + (sqrt(1188) - -3*(sqrt(1188) - sqrt(1188)*-4)))/(-4*2*sqrt(176) - sqrt(176)). -17*sqrt(3)/6 Simplify (-6*(sqrt(700) + sqrt(700) + -1*(sqrt(700) + -1) + sqrt(700)) + -2 + (-2 + sqrt(700) + 1 - 1*(sqrt(700) + -2*sqrt(700))))**2. 1800*sqrt(7) + 70081 Simplify -4*((sqrt(1331) - (-3 + sqrt(1331) + 1) - sqrt(1331))**2 + 1*sqrt(1331) + 0 + sqrt(1331)) - ((-1 + sqrt(1331))*2 + (-3 + 0 + sqrt(1331))**2). -6678 + 132*sqrt(11) Simplify -6*(-5 + ((sqrt(833) - -1*sqrt(833)*-4)*-5 + 6*(2*sqrt(153)*6)/sqrt(9))**2). -3195528 Simplify -2 + ((3*(sqrt(468) + -1*(sqrt(468)*-1 + sqrt(468) + sqrt(468))))/(sqrt(1296)*-1 + sqrt(27)/sqrt(48)))**2 + -2. -4 Simplify -1*(3*(-2*6*sqrt(1573)*-1 + 3)*-2)**2. -8154756 - 28512*sqrt(13) Simplify (-4 + (0 + 0 + sqrt(7) - (sqrt(21)/sqrt(3) + -3)) + ((sqrt(504)*3)/sqrt(8))/(sqrt(225) + (sqrt(225) - sqrt(225)*-1)))**2. -2*sqrt(7)/5 + 32/25 Simplify -1 + -3 + sqrt(192) - (sqrt(192) - -4*(2*sqrt(192) + sqrt(192)))**2 - (1 + -3 + (sqrt(192) - sqrt(192)*-3*4 - sqrt(192))**2). -60098 + 8*sqrt(3) Simplify ((4*(sqrt(500)*-1 + 2) - 5*sqrt(640)/sqrt(8)*-6) + 0)**2 + -4. 1280*sqrt(5) + 32060 Simplify -2 + (sqrt(35)*2*3 - (-1*sqrt(245))/sqrt(7))/(-6*sqrt(10)/sqrt(50)). -35*sqrt(7)/6 - 2 Simplify ((-1 + -5*(2 + sqrt(2736) + sqrt(2736)))**2 - (-6*((sqrt(2736) + 0)**2 + sqrt(2736)) - (2*sqrt(2736))**2*6))*-4 + -5. -1423209 - 10848*sqrt(19) Simplify (sqrt(1960)*4 + (sqrt(40) - sqrt(1960)*1) + sqrt(40) + sqrt(40))/((sqrt(32) + (sqrt(96)*2 + sqrt(96))/sqrt(3))/(2*sqrt(100))). 60*sqrt(5) Simplify (-3*((sqrt(176) - (sqrt(176) - (1 + sqrt(176) - sqrt(176))))**2 + sqrt(11) + -5) + sqrt(11) + -2*sqrt(55)/sqrt(5) + (-1 + sqrt(11))**2*5 + -4)*-4. -272 + 56*sqrt(11) Simplify -2*(-3*sqrt(396)*-2 - (2 + sqrt(396) + 1*sqrt(396)) - (3 + 3 + 2 + sqrt(396))*4)**2. -2312 Simplify ((1*sqrt(72)/sqrt(4))/(sqrt(144) + sqrt(144) + 1*sqrt(144) - sqrt(9) - sqrt(9)) - (sqrt(550)/sqrt(11) + sqrt(32) + -4))**2. -356*sqrt(2)/5 + 8721/50 Simplify (((sqrt(171) + 1)*3*2 + -3 + -1*sqrt(171) + sqrt(171) + sqrt(171)*1 + -1 + -4)*-6)**2. -3024*sqrt(19) + 301788 Simplify (0 + ((sqrt(352)*-1)/(sqrt(539) - 2*sqrt(539)) - (sqrt(2)*-5 + 1 + sqrt(288)*2)))**2. 258*sqrt(2)/7 + 33331/49 Simplify -1 + (2 + sqrt(567) + sqrt(7) + sqrt(28)/sqrt(4)*6 - 6*(3 + sqrt(63))) + -4. -21 - 2*sqrt(7) Simplify ((sqrt(3300) - 2*1*sqrt(3300) - sqrt(3300))*3)/((sqrt(77)*-1)/sqrt(7) + sqrt(11) + (-1*sqrt(11)*-3 - sqrt(11) - sqrt(11))). -60*sqrt(3) Simplify ((3*1*sqrt(2)*-5 - (1*sqrt(66)/sqrt(3))/sqrt(11))*6)**2 + 0. 18432 Simplify (-4 + (sqrt(98) + 0)*1 + sqrt(98) + (sqrt(6)/sqrt(3) + 5 - (sqrt(50) + 2 + sqrt(50))) + 2)**2. 10*sqrt(2) + 51 Simplify -4 + -3*-6*(-1 + 5*sqrt(88)/sqrt(2) + -1)**2. -720*sqrt(11) + 19868 Simplify (-5*(-1*sqrt(160)*-1)/(sqrt(40)/((sqrt(105)/sqrt(7))/sqrt(3))))**2. 500 Simplify -6*(1 + ((sqrt(39) - sqrt(624))*-3 - sqrt(39))/sqrt(3)*2*2*-6). -6 + 1152*sqrt(13) Simplify (-1*1*sqrt(171))/(-2*sqrt(81) + sqrt(9)) - -5*(sqrt(38)/sqrt(2) + 5 + -3*(sqrt(19) - 1*sqrt(19)))**2. 251*sqrt(19)/5 + 220 Simplify 4 + -2 + -3*((sqrt(1053) + 0 + sqrt(1053) - sqrt(1053)) + sqrt(1053))**2 - (-4*sqrt(1274))/(2*(-3*sqrt(2) - sqrt(2))). -12634 - 7*sqrt(13)/2 Simplify ((sqrt(18) - sqrt(18)*-2)*5 + sqrt(108)/(sqrt(36)/sqrt(6)))/(4*-5*sqrt(96)*-2). sqrt(3)/10 Simplify (3*(-1*sqrt(85) - sqrt(85)) - sqrt(85))/(sqrt(500)*-2) + -2*-5*(sqrt(272)*-2 + sqrt(17)). -1393*sqrt(17)/20 Simplify -1*3*(sqrt(11) + (sqrt(11) - 5*(-2 + sqrt(11)))) - ((-2*sqrt(1584) + 1 - sqrt(1584)) + -3 + -1*sqrt(1584)). -28 + 57*sqrt(11) Simplify 3*(-6*2*(sqrt(432) + 1) + ((0 + sqrt(9)/(sqrt(6)/sqrt(2)))*-5)**2). -432*sqrt(3) + 189 Simplify 6*(-1 + -3*(sqrt(12)*1 + 2 - 1*sqrt(588))**2)*4*-6. -20736*sqrt(3) + 188496 Simplify 5 + sqrt(1331) + (sqrt(1331) - (sqrt(1331) + (sqrt(1331) + 2 + sqrt(1331) + sqrt(1331))*1))**2 + (-5 + sqrt(1331)*-3 + sqrt(1331))*-6 + 0. 275*sqrt(11) + 12018 Simplify sqrt(1216) + 1 + 4 + 6*(sqrt(1216) + 0) + sqrt(1216) - (2 + 5*sqrt(1216)*2 + 4)**2. -121631 - 896*sqrt(19) Simplify (-2 + (-5*-3*(sqrt(1700) + sqrt(1700) + -3 + sqrt(1700)*2) - (sqrt(17)*-1 + 3 + sqrt(68)*2)*2*-3))**2. -35844*sqrt(17) + 6493549 Simplify (sqrt(336)*-2 + -2*1*sqrt(21))/((sqrt(66)/(sqrt(6)/sqrt(3)))/(-2*sqrt(1584))). 240*sqrt(7) Simplify (5 + 5*sqrt(2299) + -1 + sqrt(171)*4)**2*-6. -511842 - 3216*sqrt(19) Simplify ((sqrt(475) + sqrt(475)*2 + -2 + sqrt(475))*-5 + (2 + sqrt(475) + 5 - sqrt(475)) + -1*(sqrt(475) + -1) + sqrt(475) + sqrt(475) + sqrt(475))**2 + -2. -3240*sqrt(19) + 154222 Simplify 2 + 2 + (sqrt(63)/(sqrt(9) + sqrt(36)))**2 + (-1 + sqrt(847) - sqrt(84)/sqrt(300))**2. -108*sqrt(7)/5 + 185008/225 Simplify 1 + (1*sqrt(12))/sqrt(4) + -1 + ((-1 + sqrt(3))*6 - sqrt(3)) + (sqrt(3)*1)**2*-2. -12 + 6*sqrt(3) Simplify -5*((3 + ((sqrt(1088) - 2*(sqrt(1088) - sqrt(1088)*-6)) + -4 + -4*sqrt(1088) + sqrt(1088))*1)**2 + 1). -1392650 - 1280*sqrt(17) Simplify 1 + 3 + (sqrt(187)*-1*4*-5)/((sqrt(396) + (sqrt(396) - sqrt(396)*-2))*5). sqrt(17)/6 + 4 Simplify (-5 + (1 + sqrt(304) - sqrt(304))*1)**2 - 4*((1 + sqrt(475))**2 - sqrt(475))*6. -11408 - 120*sqrt(19) Simplify (1 + -4 + 1 + sqrt(252))**2 + (1 + sqrt(252) + 0)**2 + -2*sqrt(252)*-3. 24*sqrt(7) + 509 Simplify (6*(sqrt(567) + -2*sqrt(567)) + -2)**2 - -6*(sqrt(70)/(sqrt(20)/sqrt(2)) - (sqrt(7) + 1*sqrt(7) + 2)). 210*sqrt(7) + 20404 Simplify ((5*(4 + sqrt(1573) + 0))**2 - (sqrt(1573) + (2*((sqrt(1573) - 2*sqrt(1573) - sqrt(1573)) + sqrt(1573) - sqrt(1573) - sqrt(1573)))**2 + 4))*-1*-5. -84535 + 10945*sqrt(13) Simplify (-6*sqrt(260)/(sqrt(5) - ((sqrt(35)*-4)/sqrt(7) + sqrt(5)))*-4 + 5 + 3)**2. 192*sqrt(13) + 1936 Simplify ((-2*sqrt(405)*-5)**2 - (sqrt(980) + sqrt(30)/sqrt(96))) + 5. -57*sqrt(5)/4 + 40505 Simplify (-2 + sqrt(1053)*4 - sqrt(1053)) + sqrt(1053) + sqrt(1053)*2 + 4 + ((sqrt(1053) - (-1 + sqrt(1053) - sqrt(1053))) + 3 - ((-2*sqrt(1053))**2 + 2)). -4208 + 63*sqrt(13) Simplify (sqrt(39)/(sqrt(75) + sqrt(3) + sqrt(3)) - (-1*sqrt(39))/sqrt(3)) + sqrt(26)/(sqrt(8)/sqrt(4) + sqrt(2)) + (sqrt(208) - sqrt(13)) + 2 + -1. 1 + 65*sqrt(13)/14 Simplify (sqrt(272) + -3 + -2 + sqrt(272) + sqrt(272) + 2)**2 - (-5 + sqrt(17)*-4 + -1 + sqrt(17) + -2 + sqrt(17)). -70*sqrt(17) + 2465 Simplify 2*(-4*(2 + sqrt(68) + -4) + 1)**2*-5. -11690 + 1440*sqrt(17) Simplify (((-1*sqrt(6300) + 5)*1)**2 + 0)*5. -1500*sqrt(7) + 31625 Simplify ((-2*-1*sqrt(66))/(1*-1*sqrt(2)))/(-1*(sqrt(11) + (sqrt(11) - (sqrt(11) + 1*sqrt(539))) + sqrt(539)*2)). sqrt(3)/4 Simplify (4*((1 + sqrt(153) + -4)**2 - (-1 + sqrt(153) + 2*sqrt(153))) + -2 + -1)*4*2. -864*sqrt(17) + 5192 Simplify -1*((1 + sqrt(17) + sqrt(204)/sqrt(432))**2 - sqrt(68)/((sqrt(1100)/sqrt(11) - sqrt(4)) + sqrt(4)))*-1. 32*sqrt(17)/15 + 869/36 Simplify (-5*sqrt(612)/(sqrt(768) + sqrt(768)*3 + sqrt(768) - sqrt(12)))/((sqrt(18)/sqrt(2)*-3)/(sqrt(18)/sqrt(6)*3)). 5*sqrt(17)/39 Simplify (5*-2*sqrt(3500)*-3)/((sqrt(567) - (sqrt(567) + -2*sqrt(567)) - sqrt(7) - 6*sqrt(28))*2). 30*sqrt(5) Simplify 3 + (-5 + (3 + -5 + (sqrt(448) + -1 + sqrt(448))*6)**2)*3 + 1. -4608*sqrt(7) + 193717 Simplify -3*(1 + sqrt(1216) + sqrt(1216) + 1 + 1 + sqrt(1216)*2 - (-3 + sqrt(1216) + (sqrt(1216) + sqrt(1216) + 0)**2*1 + sqrt(1216)))*5. -240*sqrt(19) + 72870 Simplify -4 + ((1 + sqrt(612) + -1 + -2 + 4)*-1 + 5 + -2)**2. -12*sqrt(17) + 609 Simplify -3 + (0 + -2 + sqrt(567) - (6*(sqrt(567) + -2))**2) + -4*-5*(sqrt(567) + sqrt(567)*-6 + 4). -20481 + 405*sqrt(7) Simplify
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
(c). Let v(l) = 11*l + 8. Give 5*v(p) - 8*x(p). -p Let k(g) = 5*g**2 - 6. Let i(h) = 2*h**2 - 3*h**2 + 7 - 5*h**2. Give -6*i(v) - 7*k(v). v**2 Let y(w) = w**3 - 2*w**2 + 2*w + 18. Let q(a) = a**3 - 2*a**2 + 2*a + 17. Determine -2*q(r) + 3*y(r). r**3 - 2*r**2 + 2*r + 20 Let z(h) = -1 - 2*h + 2*h + 4*h. Let b be (3 - 17)*(-1)/(-2). Let p(l) = -9*l + 2. What is b*z(x) - 3*p(x)? -x + 1 Let g be ((-1)/2)/((-1)/4). Let r(a) = 2*a**g + 1 + 0*a**2 - a**2. Let v(q) = -q**3 + 2*q**2 + 4. Suppose -3*i + 4 - 1 = 0. Calculate i*v(m) - 4*r(m). -m**3 - 2*m**2 Let j(m) = 7*m - 9. Let n(a) = a + 1. What is -j(w) + 4*n(w)? -3*w + 13 Let x(s) be the third derivative of 0 - 1/60*s**5 - 2*s**2 + 0*s**4 + 1/6*s**3 + 0*s. Let z(q) = 3*q**2 - 3. Determine -4*x(t) - z(t). t**2 - 1 Let v(q) = -2*q + 10*q**2 - 4 + 6*q**2 - 18*q**2 - 6*q**3. Let l(t) = 11*t**3 + 3*t**2 + 3*t + 7. Let y be (-6)/4*(-8)/(-3). What is y*l(a) - 7*v(a)? -2*a**3 + 2*a**2 + 2*a Let f(u) = u**2 - 6*u. Let i(j) = j**2 - 5*j. Let n(z) = -6*f(z) + 7*i(z). Let t(y) = -3*y**2 - 5*y. What is -5*n(b) - t(b)? -2*b**2 Let y(d) = 14*d - 1. Let g(m) = 27*m - 2. What is -4*g(u) + 7*y(u)? -10*u + 1 Let n(w) = 6*w + 5. Let c(u) = 7*u + 4. Determine 3*c(j) - 2*n(j). 9*j + 2 Let o(y) = -7*y - 6. Let s(a) = 4*a + 3. Let u(i) = 3*o(i) + 5*s(i). Let t(x) = -1. Give -3*t(n) + u(n). -n Let i(p) = -7*p**2 + 4*p - 6. Let k = -12 + 25. Let r(s) = -15*s**2 + 9*s - 13. What is k*i(a) - 6*r(a)? -a**2 - 2*a Let l(x) = x - 1. Let t be l(-3). Let p(w) = -1. Let a = 2 - -1. Let s(k) = 3*k**2 + 1 - a - 2*k**2. Determine t*p(m) + s(m). m**2 + 2 Let j(a) = -9*a**3 - 12*a. Let r(g) = -g**3 - g**2 - g. Let f(u) = j(u) - 5*r(u). Let k(y) = 2*y**3 - 2*y**2 + 3*y. Calculate -3*f(o) - 7*k(o). -2*o**3 - o**2 Let m(y) = 27*y**2 - 6*y + 15. Let b(i) = -13*i**2 + 3*i - 7. Determine -13*b(o) - 6*m(o). 7*o**2 - 3*o + 1 Let b(i) = 2*i**2 - i. Let q(p) = -p**2 - 5*p. Let w(m) = -m**2 - 6*m. Let k(r) = 5*q(r) - 4*w(r). What is b(l) + k(l)? l**2 - 2*l Let r(t) = 11*t + 3. Let f(u) = 165*u + 44. Calculate -3*f(i) + 44*r(i). -11*i Let v(l) = 9*l - 8. Let r(o) = -5*o + 4. Determine 7*r(f) + 4*v(f). f - 4 Let b(g) = -7*g + 7. Let h(z) = 7*z - 6. What is 4*b(c) + 5*h(c)? 7*c - 2 Let l(k) = -225*k. Let y(z) = -9*z. Calculate 6*l(r) - 153*y(r). 27*r Let q(l) = 3*l**2 + 3*l - 3. Let t = -2 - 1. Let f(u) = -3*u**2 - 4*u + 4. Give t*f(j) - 4*q(j). -3*j**2 Let c(f) = 9*f**2 - 5*f. Suppose 4*j + a + 5 - 11 = 0, 0 = -j - 2*a - 2. Let g(r) = 0*r + 7*r**j - 4*r - 3*r**2 + 2*r. Determine 2*c(z) - 5*g(z). -2*z**2 Let c(v) = v**2 - 21*v + 11. Let i(g) = 4*g - 2. Determine -2*c(o) - 11*i(o). -2*o**2 - 2*o Let k(y) be the second derivative of y**5/20 - y**4/12 + y**2/2 + 2*y. Let x(v) = -7*v**3 + 5*v**2 - 5. Calculate -10*k(w) - 2*x(w). 4*w**3 Let n(y) = y**2 + y + 1. Let m(x) be the first derivative of -4*x**3/3 - 3*x**2 - 7*x + 2. Let i be (4/(-2))/2 - 0. Let p = -13 - -8. What is i*m(z) + p*n(z)? -z**2 + z + 2 Let q(o) = -3*o - 2*o**2 - o**3 + 2 - 2*o**3 + 0*o + 8*o**3. Let f(n) = -n**3 + n**2 + n - 1. Determine -3*f(y) - q(y). -2*y**3 - y**2 + 1 Let g(p) = p**2 - 8*p - 10. Let l be g(9). Let q(a) = 13*a**3 - 6*a. Let n(k) = -k**3 + k. Give l*q(w) - 6*n(w). -7*w**3 Let v(y) = -9*y**3 + 13*y**2. Let q(a) = -4*a**3 + 6*a**2. What is 13*q(m) - 6*v(m)? 2*m**3 Let w(k) = 4*k - 4*k + 4 - 1 - 7*k. Let y(n) = -6*n + 3. What is 5*w(p) - 6*y(p)? p - 3 Let q(d) = d - 1. Let b(n) be the third derivative of -n**4/4 + 5*n**3/6 + 11*n**2. What is -3*b(j) - 15*q(j)? 3*j Let n(z) = 17*z. Let f(j) = 17*j - 1. Determine 2*f(a) - 3*n(a). -17*a - 2 Let w(i) = -16*i + 2*i + 5*i + 2 + 3*i. Let v(s) = 19*s - 7. What is -2*v(u) - 7*w(u)? 4*u Let h(c) = -4 - 6*c + c - c. Let l be (-5)/(20/8) + -8. Let f(r) = 3 - 2 - 2*r + 4*r. Give l*f(n) - 3*h(n). -2*n + 2 Let k(l) = -9*l - 1. Let r(u) = u. Give k(n) + 4*r(n). -5*n - 1 Suppose -18 = w + 5*i, -w + 4*i = w - 20. Let c(u) = -1 + 4 - 9*u + 2*u**2 + 1. Let d(j) = 2 + 3*j**2 - 4*j - 10*j**2 + 8*j**2. Give w*c(m) - 5*d(m). -m**2 + 2*m - 2 Let f(b) = -4*b**3 - 9*b**2 + 2*b. Let o(i) = i**3 + i**2 - i. What is f(x) + 2*o(x)? -2*x**3 - 7*x**2 Let b(v) be the third derivative of v**5/15 - 7*v**4/24 - 13*v**3/6 + 15*v**2. Let p(o) = o**2 - 2*o - 4. Calculate 2*b(h) - 7*p(h). h**2 + 2 Let z(d) = -d - 5. Let k = 60 - 58. Let x(o) = -2. Give k*z(a) - 5*x(a). -2*a Let f(o) = -2*o**2 + 3*o - 2. Suppose -70 + 62 = 4*d. Let h(b) = -b + 1. Give d*h(l) - f(l). 2*l**2 - l Let k(p) = p**2 - 3*p + 1. Suppose -3*d + 54 = -d. Let h = -20 + d. Let i(w) = 2*w**2 - 5*w + 2. Let r(t) = -t**2 - 3*t. Let f be r(-4). Give f*i(l) + h*k(l). -l**2 - l - 1 Let g be 1 - (-3 - -2 - 1). Let z = g + -1. Let j(q) = q**z + 0*q - 5*q + 6*q. Let s(u) = 4*u**2 + 3*u. Calculate -6*j(r) + 2*s(r). 2*r**2 Let b(i) be the third derivative of i**4/6 + i**3/2 - 28*i**2. Let v(s) = s + 1. Give b(n) - 5*v(n). -n - 2 Suppose -42*c + 26*c + 64 = 0. Let b(g) = -g**3 - 2*g**2 + 3*g. Let h(w) = w**3 + w**2 - 4*w. Determine c*b(z) + 3*h(z). -z**3 - 5*z**2 Let h(a) = -a + 13. Let v be h(4). Let t(f) = 2*f**2 - f - 6 - 7*f**2 + 5*f. Let x(b) = -11*b**2 + 9*b - 13. Calculate v*t(s) - 4*x(s). -s**2 - 2 Let j(b) = 10*b + 6. Let k(g) = -28*g - 17. Give -17*j(h) - 6*k(h). -2*h Let d(o) = -7*o + 2. Let c(w) = -w - 1. Determine -3*c(x) - d(x). 10*x + 1 Let t(j) = 6*j + 7. Suppose 0 = -5*r + 4*f + 20, -15 = 4*r + 2*f - 57. Let u(s) = 3 - r*s + 1 + 11*s. What is 3*t(y) - 5*u(y)? 3*y + 1 Let q(g) = -14*g**3 - 2*g**2 + 3*g - 3. Let p(u) = -29*u**3 - 4*u**2 + 5*u - 5. Determine -3*p(j) + 5*q(j). 17*j**3 + 2*j**2 Let c(r) = -5*r**3 + 10*r**2 + 1 + 0*r + 0*r. Suppose t + z = -0*t + 8, 3*z = 3*t - 42. Let h(q) = q**3 - 2*q**2. Calculate t*h(m) + 2*c(m). m**3 - 2*m**2 + 2 Let i(o) be the second derivative of -o**4/8 - o**2/2 + o. Let u(p) be the first derivative of i(p). Let c(h) = -1 - 25*h - 21*h + 62*h. Give 2*c(j) + 11*u(j). -j - 2 Let p(q) = -2*q**2. Let j(u) = -4*u**2. Suppose 5*i + z - 5 = 0, 3*i - 4*i + 17 = -3*z. Let k be (-240)/130 + i/(-13). What is k*j(n) + 5*p(n)? -2*n**2 Let k(d) = -3*d**3 + d**2 - 4*d - 3. Let u(c) = 0*c**2 - 3*c - 2 + c**2 - 2*c**3 + 0*c**3. Give 3*k(h) - 4*u(h). -h**3 - h**2 - 1 Let k(n) = -31*n - 5*n**2 + 3*n**2 + 29*n. Let b(m) = -3*m**2 - 3*m. Determine -5*b(v) + 7*k(v). v**2 + v Let d(y) = 32*y**3 - 4*y**2. Let o(q) = 128*q**3 - 17*q**2. Determine 9*d(a) - 2*o(a). 32*a**3 - 2*a**2 Let f(i) = i + 1. Let l(x) = 5*x. Let k(o) = -11*o + 1. Let u(c) = -4*k(c) - 10*l(c). Determine 4*f(y) + u(y). -2*y Let k(b) = 12*b**2 + 7*b + 8. Let n(w) = 12*w**2 + 6*w + 7. Give -6*k(l) + 7*n(l). 12*l**2 + 1 Let z(q) = -5*q**3 + 6*q**2 - 5*q - 1. Let i(m) = -6*m**3 + 7*m**2 - 6*m - 1. Determine -6*i(n) + 7*z(n). n**3 + n - 1 Let w(l) = -6*l + 5. Let i(p) = 11*p - 10. Give -4*i(z) - 7*w(z). -2*z + 5 Let t be (-124)/(-8) + (-1)/2. Let j be (-1)/(t/(-9) - -2). Let a(c) = -c - 5. Let s(p) = -p - 3. Give j*a(o) + 5*s(o). -2*o Let x(l) = -10*l - 11. Let u(h) = -9*h - 10. Calculate -7*u(w) + 6*x(w). 3*w + 4 Let t be (3*1)/((-15)/40). Let h = -4 - t. Let k(w) = h - 3 - 2*w - 3. Let q(b) = -b. Calculate -k(m) + q(m). m + 2 Let w(g) = 4*g + 7 + 3 + 11*g. Let k(f) = 5 + 3*f + 8*f - 4*f. Let q(p) = -5*k(p) + 2*w(p). Let z(o) = 6*o + 6. What is 5*q(i) + 4*z(i)? -i - 1 Let s(q) = -3*q - 9. Let u(y) = y + 4. Suppose -2*v - 3*v - t - 10 = 0, 2*t = -5*v - 10. Determine v*s(i) - 5*u(i). i - 2 Let i(n) = 9*n - n - 8*n**3 - 7 - 5*n**2 - n**2. Let d(j) = 10*j**3 + 17*j**2 + 26*j**3 - 13*j**3 + 20 - 23*j. Calculate 6*d(f) + 17*i(f). 2*f**3 - 2*f + 1 Let g(n) = 4. Let l(p) = -3. Let y(j) = 4*g(j) + 5*l(j). Let f(w) = -4. Let o(d) = -f(d) - 3*y(d). Let s(u) = 2*u - 6. Give -5*o(t) - s(t). -2*t + 1 Let r(o) = -7*o + 2. Let q(p) = -p + 1. Let d be -1 + -3 - (11 + -17). Determine d*q(f) - r(f). 5*f Let p(i) be the third derivative of -2*i**4/3 + 5*i**3/3 + 11*i**2. Let n(q) = -3*q + 2. Calculate -11*n(d) + 2*p(d). d - 2 Let n(v) = -10*v + 4. Let k(b) be the second derivative of -7*b**3/6 + 3*b**2/2 - 59*b. Calculate 7*k(h) - 5*n(h). h + 1 Let c(x) = 5*x**3 + 8*x + 8. Suppose 0 = -4*z + 13 + 43. Let m = z + -6. Let p(o) = -3*o**3 - 5*o - 5. Calculate m*p(g) + 5*c(g). g**3 Let s(a) = -6*a**3 - 4*a**2 + 2*a - 4. Let r(t)
{ "pile_set_name": "DM Mathematics" }
= -3*q - 3. What is the remainder when 31 is divided by y? 7 Let i be 4*(2 + -3 - -10). Suppose 2*s + 2*s = 3*d + i, -5*d = 3*s + 2. Calculate the remainder when 11 is divided by s. 5 Let i(z) = z**3 + 3*z**2 - 3*z. Let u be i(-3). Let m(k) = 22*k**2 - k - 1. Let v be m(1). Let a = v - u. Calculate the remainder when 21 is divided by a. 10 Suppose 90 = -2*w - 2*x - 3*x, -125 = 3*w + 5*x. Calculate the remainder when (294/w)/(1/(-5)) is divided by 22. 20 Suppose -j - 12 = 3*j, -3*i - 3*j = -198. Suppose 0 = 4*z - 4*m - 96, 4*m + 121 = 5*z + 1. What is the remainder when i is divided by z? 21 Let x(c) = c**3 + 8*c**2 - 11*c - 10. Calculate the remainder when x(-9) is divided by 2. 0 Let g(d) = d + 15. Calculate the remainder when g(-5) is divided by 3. 1 Suppose 0 = -3*c - 4*p + 212, 0*c + 4*c - 3*p - 241 = 0. Let r = c + -14. Calculate the remainder when r is divided by 13. 11 Calculate the remainder when 55 is divided by 5*90/25 + -4. 13 Suppose 0 = 5*c - 470 - 215. Let q = -94 + c. Calculate the remainder when q is divided by 22. 21 Let l(p) = p**2 - p - 3. What is the remainder when 16 is divided by l(-3)? 7 Suppose 2*j = -5*u + 39 + 29, -5*j = -20. What is the remainder when 21 is divided by u? 9 Suppose -41*w + 10 = -39*w. What is the remainder when 38 is divided by w? 3 Let g = -106 - -119. What is the remainder when g is divided by 6? 1 Suppose -4*z = -8*z + 52. Calculate the remainder when (-2)/(-6) - 284/(-12) is divided by z. 11 Let t = 4 - 0. Suppose h - t*o - 12 = 0, o = 2*h - 36 + 12. Calculate the remainder when 34 is divided by h. 10 Let s be 2/8 + (-23)/(-4). Let t = s + -4. Calculate the remainder when 8 is divided by t + -2 - -2 - -3. 3 Suppose -5*o - 27 = -z, 101 = 4*z + o + 14. Calculate the remainder when z is divided by 8. 6 Let d(u) = -3*u + 4. What is the remainder when 47 is divided by d(-3)? 8 What is the remainder when -1 + -2*(-4)/2 is divided by -6 + 2 - 5/(-1)? 0 Let d be (2/5)/(1/5). Suppose 2*b - x = 11 - d, -b - 8 = 2*x. Suppose -b*w = -3*l + 17 - 46, -2*l = 5*w - 101. What is the remainder when 36 is divided by w? 17 Let k(t) = -t**3 + 3*t**2 + t - 1. Let n be k(3). Suppose g + n = 18. Calculate the remainder when g is divided by 6. 4 Suppose -3*s - w = 1, 2*s - 2 = -5*w + 3*w. Let g be (-10)/(-2)*s/1. Let j = g + 8. Calculate the remainder when 4 is divided by j. 1 Let k(f) = -4*f**2 - 3*f - 2. Let o be k(-2). Let n(l) = 2*l - 1. Let t be n(-1). Let w = t - o. What is the remainder when 26 is divided by w? 8 Suppose 0 = -3*n + 4*n - 210. Suppose 0*a + 5*a = n. What is the remainder when a is divided by 11? 9 Suppose 2*l = 26 + 36. Suppose 3*b + 4 = g - 6, 5*g = -4*b + l. Calculate the remainder when 13 is divided by g. 6 Suppose -7*h = -4*h - 27. Calculate the remainder when 35 is divided by h. 8 Let w(t) = 7*t**2 + t + 0*t + 15*t**2. What is the remainder when w(-1) is divided by (-11*(-1 + 3))/(-2)? 10 Let h = 7 + -11. Calculate the remainder when h*(1 - 8/4) is divided by 3. 1 Suppose 5 = 2*c - 13. Suppose -2*f - a + 37 = 0, -f = a - 2*a - 17. What is the remainder when (-64)/6*f/(-12) is divided by c? 7 Let a(z) = 9*z**2 + 6*z - 4. What is the remainder when a(-4) is divided by 30? 26 Let c = -28 - -85. What is the remainder when c is divided by 20? 17 Let c(u) = 25*u - 14. What is the remainder when 97 is divided by c(2)? 25 Let t = -119 - -216. What is the remainder when t is divided by 25? 22 Suppose -2*c - k + 112 = 0, -c - c = 4*k - 100. Calculate the remainder when c is divided by 15. 13 Let l(i) = 2*i**2 + 4*i - 1. What is the remainder when l(-4) is divided by 10? 5 Let r be (-798)/(-33) - (-2)/(-11). Suppose r = c - 3. What is the remainder when c is divided by 10? 7 Let m(s) = -s**2 + 17*s + 62. What is the remainder when m(18) is divided by 24? 20 Let s(x) = -x - 2. Let l be s(-6). Suppose 4*p - l*c - 28 = 0, -3*c = 3*p - 29 + 8. Calculate the remainder when p is divided by 5*(-3)/(15/(-4)). 3 Suppose -n + 0*n - 9 = 0. Let x(m) = -m**3 - 8*m**2 + 4*m + 13. What is the remainder when x(n) is divided by 15? 13 What is the remainder when 6/(-3 + 0)*228/(-8) is divided by 12? 9 Let n = 27 + -6. What is the remainder when 125 is divided by n? 20 Let v(x) = 5*x + 1. Let z be 25/9 + (-6)/(-27). Suppose -k = 4*k - 45. Calculate the remainder when v(z) is divided by k. 7 Suppose -d = 2*p - 7*p + 31, 16 = 3*p + 2*d. Let y = 1 - -3. Calculate the remainder when y is divided by p + 12/4*-1. 1 Let a(k) = 7*k**2 - 2*k + 1. Suppose -13 = 5*r - 3. Suppose v + t - 2*t - 20 = 0, -4*v = -5*t - 83. Calculate the remainder when a(r) is divided by v. 16 Calculate the remainder when 20 is divided by (4 + -3 + -23)/(-2). 9 Suppose b - 37 = -2*c, 3*b - 5*c - 148 = -b. Calculate the remainder when b is divided by 21. 16 Let h = 5 - 1. What is the remainder when h is divided by 2? 0 Let k be (7/(-14))/(1/(-4)). Let a be (-2 - 14/(-4))*k. What is the remainder when (-775)/(-15) - (-1)/a is divided by 18? 16 Let f(y) = 1. Let x(o) = 23*o - 3. Let p(c) = -3*f(c) - x(c). Calculate the remainder when p(-1) is divided by (5 + -1)/(1/2). 7 Suppose -2*z - 15 = -3*z. Calculate the remainder when 41 is divided by z. 11 Suppose -4*h - 5*t + 535 = 0, -4*t - 445 = -3*h + t. Suppose 0 = -4*n + h + 20. What is the remainder when n is divided by 21? 19 Suppose 0 = 3*p - 37 - 44. Let l = 127 + -120. Calculate the remainder when p is divided by l. 6 Suppose -t = -4*g - 45, -3*g - 5*t = g + 39. Let m(l) = -l**3 - 11 + 8*l - 4*l**2 - 7*l**2 + l**2. Calculate the remainder when 64 is divided by m(g). 20 Suppose -6*p + 4*p = -6. Let m(l) = 2*l**2 + 2*l - 3. Calculate the remainder when m(p) is divided by 11. 10 Let c(b) = 3*b + 2. Let t be (-27)/6*6/(-9). What is the remainder when c(t) is divided by 1/(2 + -1) - -3? 3 Let m be (-8)/(-2)*117/12. Suppose 3*d = m + 9. Calculate the remainder when 62 is divided by d. 14 Let u(x) be the third derivative of 11*x**5/30 + x**4/12 - x**3/6 + 5*x**2. What is the remainder when 68 is divided by u(1)? 22 Let c = 14 - 8. Suppose -s + c*s = 95. Calculate the remainder when s is divided by 5. 4 Suppose 0*w + 288 = 4*w. Calculate the remainder when w is divided by 15. 12 Let z(m) = -m**3 - 14*m**2 + 12*m + 8. Calculate the remainder when z(-15) is divided by 8. 5 Let m(k) = -8*k**3 + k + 1. Let f(z) = -z**2 - 6*z - 5. Let q be f(-4). What is the remainder when ((-4)/q)/(-4)*39 is divided by m(-1)? 5 Let c(l) = -2*l - 6. Let a be c(-5). Suppose a*w - 24 = 3*v, 5*w + 4*v = 4 - 5. What is the remainder when 13 is divided by w? 1 Suppose o - i + 24 = 3*o, -5*o - 3*i + 62 = 0. What is the remainder when 59 is divided by o? 9 Calculate the remainder when 10 is divided by (0 + (-12)/(-7))/(16/56). 4 Let v(z) = z**2 + 3*z - 6. Let n be v(-5). Suppose -n*f + 34 = 2*g, 3*g + 12 = 4*f - 17. Calculate the remainder when 2 + 21 + -1 + 1 is divided by f. 7 Suppose 0 = 3*o + b + 9 - 59, -4*o + 62 = -b. What is the remainder when 109 is divided by o? 13 Let b = -54 + 78. Let f be (2/(-4))/((-3)/(-318)). What is the remainder when b is divided by 2/(-8) - f/4? 11 Let y(f) = 83*f**2 + 3*f + 2. Let i = 3 + -4. Calculate the remainder when y(i) is divided by 21. 19 Suppose 4*u + 5*i = 224, 16 = 5*i - i. Calculate the remainder when u is divided by 9. 6 Let i = 14 + -4. Let q(c) = -3*c - 6. Let s = -12 - -8. What is the remainder when i is divided by q(s)? 4 Suppose -2*m = 5*y + 9, 3*y + 0 = 2*m + 1. Let k(c) = -3*c - 29. Calculate the remainder when (57/9)/(y/(-3)) is divided by k(-12). 5 Let o = 44 + 5. Calculate the remainder when o is divided by 6. 1 Suppose -3 = -v + 3*w + 5, 0 = -5*v + 5*w + 60. What is the remainder when 25 is divided by v? 11 Let l = -4 - -10. Calculate the remainder when (-20)/(3*2/(-12)) is divided by ((-4)/(-3))/(l/63). 12 Let o be (-6)/(-4)*(-400)/(-24). Let v = o + -2. What is the remainder when v is divided by 8? 7 Let x = 30 + -7. Let m = x - 9. Calculate the remainder when m is divided by ((0 - 3) + -2)/(-1). 4 Let h = -28 + 61. Suppose 5*z - h = -283. Let q = -27 - z. What is the remainder when q is divided by 8? 7 Let k(x) = x**2 + 19*x - 3. Calculate the remainder when k(-20) is divided by 9. 8 Let y(b) = -8*b - 7. Let c(j) = 25*j + 20. Let n(w) = -3*c(w) - 8*y(w). What is the remainder w
{ "pile_set_name": "DM Mathematics" }
Let t be (-63)/496 - (-9 + 9141/1023). Which is the closest to t? (a) -0.1 (b) 0.1 (c) 1 a Let x be 0/(6/1*(-9)/(-18)). Let d = 5.6 - 6. Let g = -246 - -1229/5. Which is the nearest to x? (a) g (b) d (c) 2/19 c Let q = -3243 + 3243. Which is the nearest to 2? (a) 9 (b) -0.09 (c) q c Let v = -1207 - -1206. Let y = -3.5 - -3.6. Which is the closest to v? (a) y (b) 89 (c) 2/9 a Let c be 14/5*785/628. Let b = -0.7 + 0.8. What is the closest to b in c, 4, -0.3? -0.3 Let z = -1310/23 - -2597/46. Let c = 0.2 - 0.6. What is the closest to -0.3 in c, z, 5? c Suppose 5*d - 759 = s + s, -141 = -d - 5*s. Let f = 152 - d. Let z(v) = v**2 - v + 1. Let t be z(2). What is the nearest to -3 in 0.4, f, t? 0.4 Let j = 2124 - 2124.4. What is the nearest to -0.1 in j, -13, 8, -8? j Let q(v) = -v**3 - 19*v**2 - 30*v - 218. Let g be q(-18). Which is the nearest to g? (a) -5 (b) 399 (c) 0.2 (d) -2/5 d Let g be ((135/(-66))/5)/(51/68). Which is the closest to 3? (a) g (b) -4/9 (c) 3/7 c Let f be 0 - (-1 - -2 - 0). Let l be ((-335)/(-1340))/((-10)/8). Suppose 3*k + 15 + 0 = 0. Which is the nearest to f? (a) -1 (b) k (c) l a Let v = -0.081 - 45.919. Let h = 13 + 33. Let p = v + h. Which is the nearest to p? (a) 4 (b) -4/3 (c) -1 c Let m = 29720 + -29720. Which is the closest to m? (a) -1/6 (b) 10.3 (c) 2/29 c Let w = 0.484 - 0.584. What is the closest to 1/3 in -23, w, -4? w Let d = 144205 - 144202. Suppose 1 + 8 = -3*o. Which is the nearest to 3? (a) 0.1 (b) o (c) d c Let x(s) = -s**3 + 10*s**2 - 10*s + 7. Let y be x(9). Let n = -28.55 - -29. Let u = 0.05 + n. Which is the closest to -1/4? (a) y (b) u (c) -2/9 c Let m(r) = r**3 + 20*r**2 + 32*r + 246. Let x be m(-19). Which is the nearest to 27? (a) 1/2 (b) -0.4 (c) -2/9 (d) x a Let w = 2/5 - -11/10. Let y = -0.219 + 0.102. Let l = y - -0.517. Which is the closest to -2/11? (a) l (b) w (c) -0.1 c Let s be (506/69)/(5/120). Which is the nearest to s? (a) -5 (b) 2/9 (c) 2 c Let v = -0.593 - -0.893. Let r be (-6)/(-15) + 24/(-135). Let a = -0.97 - -1.07. What is the nearest to v in r, 4, a? r Let r(d) = -d**2 - 6*d + 27. Let w be r(-12). Let l = 47 + w. Suppose l*v - 24 = 2. Which is the nearest to v? (a) -0.5 (b) -2 (c) 0.4 c Let w = -6301 - -6306.35. Which is the nearest to w? (a) -2/9 (b) 0.5 (c) 2 c Let n = 664.4 + -664.3. Which is the closest to n? (a) -0.4 (b) 0.2 (c) 730 (d) 5 b Let s = -29 + 27.87. Let u = -1.03 - s. What is the closest to u in 1/21, -3, 1? 1/21 Let l be 2*(-15)/(-24)*4. Let v = -137/39 + 1115/273. What is the closest to -1/3 in l, v, -2/5? -2/5 Suppose 4*j - 2*s = 0, 0*j = -j + 2*s + 3. Which is the nearest to -0.2? (a) -0.3 (b) 151 (c) j (d) 0 a Suppose -5*q + 113 = v + 92, q = 5*v - 27. Which is the closest to 7? (a) q (b) 1/3 (c) 2/11 (d) -0.1 a Suppose 260 + 195 = -5*x. Let o = -77 - x. Suppose 2*i + p - o = -2*p, 15 = 3*i + 3*p. Which is the nearest to i? (a) -0.4 (b) 1/12 (c) 0.6 c Let d(a) = -a**2 + 28*a + 46. Let i be d(16). Let j = -233 + i. What is the nearest to -1/3 in -0.2, j, 4.4? -0.2 Let j = -417.9 + 534.9. What is the closest to 1 in 0.2, j, -0.1? 0.2 Let c = -13.47 - 1.33. Let y = -9.8 - c. Let t be (2 + -2)*-1*1. What is the closest to t in y, 0.4, -0.1? -0.1 Let l(n) = -2*n**3 - 20*n**2 - 2*n - 24. Let d be l(-10). Let b be (79 - d) + 12/(-4). Let a = -85 + b. What is the nearest to 5 in a, 4, -0.3? 4 Suppose -o - 5 = 0, -4*l - 462*o + 32 = -466*o. What is the closest to 7/24 in 0.1, 5, -3, l? 0.1 Let b = 17996 - 18000. Let l(c) = -c + 4. Let h be l(3). What is the closest to -1 in h, b, -3/5? -3/5 Let d(u) = -2*u - 8. Let i be d(-3). Let j be (-1 - i)/((-2)/10). Let z = -2.2 + 2.05. What is the nearest to 1 in z, j, 1? 1 Suppose 0 = 262*r + 309*r - 2480 + 196. Which is the nearest to -13? (a) r (b) -2 (c) 3.43 b Let q = -1757 - -1756.5. Which is the nearest to 0.1? (a) -0.4 (b) q (c) 1/9 c Let j = 21.728 + -22.128. Which is the closest to 0? (a) j (b) 14 (c) -4 (d) 1/3 d Let s = 2/1197 - 1598/1197. What is the nearest to 26 in -4/5, -1/3, s, -2? -1/3 Let s = 20128 - 20130. Let v = -10 + 6. Which is the closest to 1/9? (a) s (b) v (c) 6 a Let k = 97189 + -485944/5. Let h be (-1 - 7)*2/4. Which is the nearest to 0.2? (a) 1 (b) k (c) 4 (d) h b Let w = 0.005 + 2.695. Let q = -0.18 + 0.88. Let g = w - q. What is the closest to -0.1 in -2/7, -2/15, g? -2/15 Let t = -23.08 + 25. Let u = t - -0.08. Let i = -370.6 + 370.7. What is the nearest to 1 in u, i, -5? i Let t = -1851 - -1926. Which is the nearest to -2? (a) -0.2 (b) -3 (c) t (d) 0.2 b Let y be ((-12)/(-32)*-4)/(-3). Which is the closest to y? (a) -453 (b) 3 (c) -5 (d) 1 d Let w be (-2)/69*(4 + -3). Suppose 5*l = 4*n + 3, l + n = -2*n + 12. Which is the closest to w? (a) l (b) 1/4 (c) -1 b Let l = 5124.589 + -5128. Let i = 0.589 - l. What is the closest to -1 in -1/8, -0.1, i, -2/7? -2/7 Let y(u) = -23*u**2 - 174*u + 66. Let t be y(-8). Let h = -290/99 + 28/9. What is the nearest to 0 in t, 3, h? h Let c = 165.95 - 166. Let h = -3 - -4. Let j = -7 - -5. What is the nearest to h in -0.4, j, c? c Let q(v) = 2*v + 87. Let s(o) = -o**3 + 8*o**2 - 10*o + 38. Let x be s(8). Let a be q(x). What is the nearest to 1.7 in 2, a, 0.3? 2 Let p be -2 + (-5)/((-10)/6). Let w = -1.2237 - -1.5237. What is the nearest to w in -3/5, 5, p? p Let q be -29 + 12/36*0*(-3)/15. Which is the nearest to 2/9? (a) 1/3 (b) -5 (c) q a Let t(k) = -k**3 - 12*k**2 - 46*k - 386. Let u be t(-11). Which is the closest to u? (a) -3 (b) 2/29 (c) -2/7 (d) 5 c Let r = 24143 + -24145. Which is the nearest to -5? (a) -1 (b) -65 (c) r (d) 1 c Let j = 2394 - 2393. What is the nearest to -1 in -9, 0.3, j, -5? 0.3 Let z(k) = 2*k - 2. Let l be z(3). Let f be -98 + 108 - (9 + 0). Let w = 0.8 + 4.2. Which is the closest to f? (a) l (b) w (c) -0.02 c Let t = 9489.943 + -9490. Which is the nearest to t? (a) 0.2 (b) 2 (c) -2 a Let m = 1016.527 - 1018. Let z = -1.273 - m. Let y = -0.1 + 0.6. Which is the nearest to z? (a) y (b) 2.4 (c) 3 a Let i = -1.2 - -0.2. Let k be (-12207)/351 + 35 + 280/(-1098). Which is the nearest to i? (a) k (b) 1/3 (c) 0.1 a Let y = -2946 + 2947. What is the nearest to 1 in y, -145, -2/5, -1? y Let o = -1954 + 1958. Which is the nearest to -2? (a) 1/3 (b) 20 (c) o a Let h = -0.008 - 0.002. Let x = h - -2.01. Let t = -2.04 + x. Which is the nearest to 0.2? (a) -5 (b) t (c) 5 b Let y = 3/4958 - -4937/34706. Which is the closest to 1? (a) -7.4 (b) 0 (c) y c Let t = 8795 - 8790. Which is the closest to -18318? (a) t (b) -2 (c) -1/4 b Let q be (1456/44)/(-13) + 2. Which is the nearest to -2/7? (a) -1 (b) -2 (c) q (d) -17 c Let w = -3.29 - 0.71. Let h = 851.3 + -851. Let f = 5 - 3. What is the closest to h in w, -2/11, f? -2/11 Let i(x) = 2*x**2 - 139*x + 0*x**2 + 17 + 153*x. Let t be i(-6). Which is the nearest to 4? (a) t (b) 0 (c) 1/7 a Let n = -0.553 + 0.453. Let l(g) = -g**3 - 6*g**2 + 7*g + 10. Let h be l(-7). Which is the nearest to h? (a) n (b) 0.4 (c) -2 b Let t = 3156 - 3156.131. What is the closest to 3 in -1, t, -1/3? t Let f be (-11)/((-44)/(-16)) + (-201 - -2). Let n = -204 - f. Let x = -0.1 + 0.4. Which is the closest to n? (a) 4 (b) 1/4 (c) x b Let x = -5.55 + 5.45. Which is the closest to 0.1? (a) -3/40 (b) 1 (c) x a Let u = 2219 + -2218.7. Which is the nearest to -5? (a) u (b) 2/21 (c) -1/3 (d) 0.1 c Let n be (84/(-77) - -1)/2. Let i be (-5)/(-6) - (2/(-1))/(-6). Let j be ((-4)/(32/12))/4. Which is the nearest to i? (a) 1 (b) n (c) j a Let c = -858 - -861. Let p = 0.198 - 0.398. What is the nearest to 0 in 15, p, c? p Suppose 2*u - 94 + 70 = 0. Let s be (u/(-14) - -1)/((-10)/35). Which is the nearest to s? (a) -0.5 (b) 1 (c) 3 (d) 2 a Suppose d - m = -4*d + 35, 2*d - 4*m + 4 = 0. Let r be -4*1/d*-2. Which is the closest to r? (a) -2 (b) -0.1 (c) -1/23 c Let s = 9 + -8.775. Let w = s + -0.225. Which is the closest to 0.1? (a) -3.8 (b) -2 (c) w c Let h = 0.0611 - -1.9389. Which is the closest to 0.2? (a) h (b) 5 (c) 103 a Let w be -3 - (9784/(-276))/(4/(-36)). Let d = 322 + w. What is the nearest to 2/5 in 2/19, d, 0? 2/19 Let n = 179 - 717/4. Let q be (1/(-3))/((-1)/24). Let y
{ "pile_set_name": "DM Mathematics" }
*o*z**2 + 13*z**2 + 2408*z wrt z. 1192*m*o - 4*o + 26 What is the third derivative of -18*z**6 + 2*z**4 - 138*z**3 - 35858*z**2? -2160*z**3 + 48*z - 828 What is the third derivative of 195612*c**6 - 2*c**5 - 2*c**2 - 3*c + 16687? 23473440*c**3 - 120*c**2 Find the first derivative of -52440*r**2 - 65034 wrt r. -104880*r Find the third derivative of 27*h*j*k**3*l + 2063*h*j + 1228*h*k**3 + 2*h*k**2*l - 2*j*k**4*l - 47*j*k**2 + 2*k - l wrt k. 162*h*j*l + 7368*h - 48*j*k*l Find the third derivative of 1399*n**4 - 29*n**3*y**2 + 12*n**2*y + 18*n*y**2 - 3*y**2 + 2 wrt n. 33576*n - 174*y**2 What is the derivative of -200310*h**3 - 2*h**2 + 188183? -600930*h**2 - 4*h Find the second derivative of 19593*j*k**2 + j*k + 3520*k wrt k. 39186*j Differentiate -92*o**3 + 11*o**2 + 4*o - 38202 with respect to o. -276*o**2 + 22*o + 4 What is the third derivative of 15*i**2*w**3 - 78*i**2*w**2 + 4*i*w**3 + 33*w**3 + 353*w**2 wrt w? 90*i**2 + 24*i + 198 Find the third derivative of 814002*o**4 + 2*o**3 - 340708*o**2 + 3*o wrt o. 19536048*o + 12 What is the second derivative of 6858*n*p**2*w**3 - n*p**2 - 7*n*p*w + 2*p*w**2 - 5*w**3 - 29*w - 1 wrt p? 13716*n*w**3 - 2*n Find the second derivative of d**3*j - d**2*j + 399144*d**2 - d*j + 828383*j wrt d. 6*d*j - 2*j + 798288 Find the second derivative of -562*d**4*x**2 + 174*d**4*x - 6*d*x**2 + 917*d - 4 wrt d. -6744*d**2*x**2 + 2088*d**2*x Find the third derivative of -271316*o**3 - 3620085*o**2 wrt o. -1627896 What is the third derivative of 8895*h**3*j**4 + 230*h**3*j**2 - 44*h**3*j - 2*h**3 - 31*h**2*j**5 + 19*h**2*j + 1 wrt j? 213480*h**3*j - 1860*h**2*j**2 What is the third derivative of 448293*n**3 + 106662*n**2 - n + 1 wrt n? 2689758 What is the third derivative of 454204*d**3 + 53*d**2 - 2466? 2725224 What is the third derivative of 203*a**3*n*y**3 - 16*a**3*r*y**2 - 2*a**2*n*r*y**2 - 46*a**2*n*r*y - 3*a**2*n*y**3 + 7*a**2 + 2*a*y**3 wrt a? 1218*n*y**3 - 96*r*y**2 Find the third derivative of -4811*c**4 + 8*c**3 - 75931*c**2. -115464*c + 48 Find the second derivative of -4*c**2*i**2 - 25755*c**2 - 34209*c*i**2 - 6*i - 1 wrt i. -8*c**2 - 68418*c What is the third derivative of -2*j**5 - 21012*j**3 - 3*j**2 + 4408*j wrt j? -120*j**2 - 126072 Find the third derivative of 296080*g**3 - 19*g**2 + 973*g + 1 wrt g. 1776480 Find the second derivative of 69*b**4 - 493*b**3 - 314159*b. 828*b**2 - 2958*b Differentiate 12012*t**2 + 105425. 24024*t What is the first derivative of -v**3*z + 3959*v**3 + 10*v**2 - 677*z - 157 wrt v? -3*v**2*z + 11877*v**2 + 20*v Differentiate -14410*i**2*v + 4*i*v**3 + 84*v**3 + 3*v**2 + 31 wrt i. -28820*i*v + 4*v**3 What is the first derivative of 142*m**2*s**2 + 36*m**2*s + 6*m**2 + m - 5*s**3 + 10079 wrt s? 284*m**2*s + 36*m**2 - 15*s**2 What is the first derivative of 2089658*y**3 + 1416682? 6268974*y**2 What is the derivative of 265289*f**2 + 368609 wrt f? 530578*f Find the third derivative of 2*j**6*x + 233715*j**4*x**2 + 2*j**2 - 83228*j*x - 2*x**2 wrt j. 240*j**3*x + 5609160*j*x**2 What is the third derivative of -15*t**4*u**3*y + 1204*t**3*u*y**3 + t**2*u**3 + 1726*t*u**3*y**2 + t*u**2*y**2 + 7*u**2*y**3 wrt t? -360*t*u**3*y + 7224*u*y**3 Find the second derivative of -992*c**3 - 209*c**2 + 755391*c. -5952*c - 418 What is the second derivative of 2*o**4 + 15173*o**2 - 2382*o wrt o? 24*o**2 + 30346 What is the first derivative of -2*a**2*q + 3*a**2 - 2690*a*q**2 + 6793*q**2 + 12*q wrt a? -4*a*q + 6*a - 2690*q**2 What is the third derivative of -f**6 - 1495*f**4 - f**3 - 340*f**2 - 2*f - 1 wrt f? -120*f**3 - 35880*f - 6 Differentiate 1503*w**2 + 12*w + 368837. 3006*w + 12 Differentiate -211692*p**3*x**2 - 6*p**3 - 5624 with respect to x. -423384*p**3*x What is the second derivative of -945613*s**2 - 1793813*s? -1891226 What is the second derivative of 5472122*d**4 + 149*d + 15296 wrt d? 65665464*d**2 Find the first derivative of -24*k*l*o - 93*k*l - 2*k*o + 3*k + 10*l*o - 65*l - o wrt k. -24*l*o - 93*l - 2*o + 3 Find the third derivative of -54093*v**3 - 8*v**2 + 65*v + 36 wrt v. -324558 What is the second derivative of -1368106*k*w**2 - 2*k*w + 4668*k + 5*w - 4 wrt w? -2736212*k Find the second derivative of -686918*s**2 - 6*s + 28015. -1373836 What is the first derivative of -4627084*b**3*j*l**3 + 3*b**3*l**3 - 1835023*l**3 - l**2 wrt j? -4627084*b**3*l**3 What is the second derivative of 30*a*i*s**3 + 194*a*i*s**2 - 13*a*i*s - 2630*a - 2*i*s**3 wrt s? 180*a*i*s + 388*a*i - 12*i*s What is the first derivative of 315619*d*f + 261690*d wrt f? 315619*d What is the second derivative of b**2*v**2 - 2*b**2*v - 3423*v**2 - 2264*v wrt v? 2*b**2 - 6846 What is the third derivative of -493305*x**4 - x**3 - 4347*x**2 + 5*x + 6? -11839320*x - 6 Find the first derivative of -33081*u**2 + u - 83943 wrt u. -66162*u + 1 Differentiate -f**2 + 137608*f + 329146 with respect to f. -2*f + 137608 Find the first derivative of -183642*z**2 - 185763 wrt z. -367284*z Find the third derivative of 3*n**5 - 9698*n**4 - 19*n**3 + 1559*n**2 - 524*n wrt n. 180*n**2 - 232752*n - 114 Find the first derivative of -30*l**2*r**2 - 12434*l**2*r - 91033*l**2 wrt r. -60*l**2*r - 12434*l**2 Find the third derivative of 1265*a*i**4*v + 2*a*i**3*v + 219*a*i**2*v - 4*a*i**2 - a*i + i**3 wrt i. 30360*a*i*v + 12*a*v + 6 Find the third derivative of 2*g*j*w**3 + 861*g*j + 13*g*w**3 - 24*g*w**2 - 2762*j*w**3 + w**3 wrt w. 12*g*j + 78*g - 16572*j + 6 What is the second derivative of a**4 + 35501*a**3 + 4*a**2 - 112289*a wrt a? 12*a**2 + 213006*a + 8 What is the second derivative of 103550*s**2*t*x + 1274*s*x + 28*t*x + 2*t wrt s? 207100*t*x What is the third derivative of 2*a**3*p**3 - 85*a**3*p**2 - a**3*p + 73544*a**2*p**3 wrt a? 12*p**3 - 510*p**2 - 6*p Find the second derivative of -43*f**5 + 3*f**4 + 46*f**2 - 3807*f + 1. -860*f**3 + 36*f**2 + 92 Find the second derivative of -f**2*h**3*k*t + 447*f**2*h*t + 23*f**2*k*t + 3*f*h**3 - 2*h**3*t - 6*h**2*k + 80*k*t - 2*t wrt f. -2*h**3*k*t + 894*h*t + 46*k*t Differentiate 302*j*o**3 - 140*j*o**2 + j*o + 17*o**3 + 2*o**2 - 116*o - 5 wrt j. 302*o**3 - 140*o**2 + o Find the second derivative of 12*u**4*x + 12277*u**4 - 29412*u*x - 6*u + 6*x wrt u. 144*u**2*x + 147324*u**2 What is the first derivative of 2*d**2 + 89*d - 78 wrt d? 4*d + 89 What is the third derivative of -174173*f**3 + 58154*f**2? -1045038 Differentiate -1415*j**3*v**2 - 5*j**2*v**3 + 4050*v**3 - 5*v**2 wrt j. -4245*j**2*v**2 - 10*j*v**3 Find the second derivative of -166*i**3*l + 12*i**2*l + 2*i*l - 6*i - 3*l - 6 wrt i. -996*i*l + 24*l What is the derivative of -15*k**2*y**2 + 23*k**2 + 3817*k*y**2 + 12*k + y**2 - 795 wrt y? -30*k**2*y + 7634*k*y + 2*y Find the first derivative of 573*q**4 + 14*q + 40339. 2292*q**3 + 14 What is the second derivative of -684583*d**2 + 5740*d + 86? -1369166 What is the second derivative of 36931*q**5 - 251430*q? 738620*q**3 What is the third derivative of 43800*k**4*l**2*z + 2*k**3*l**3*z + 2*k**2*l**2*z + 1774*k**2*z - k**2 + 8*l**3 wrt k? 1051200*k*l**2*z + 12*l**3*z What is the second derivative of 915*h**3*z**3 + 375*h**3 + 8*h*z**3 + 4975*h*z**2 wrt h? 5490*h*z**3 + 2250*h What is the third derivative of -4253*g**3*m**3 + 3*g**3*m + 2*g**2*m**2 - 18*m**3 - 97*m**2 + m wrt g? -25518*m**3 + 18*m Find the second derivative of -9*g**5 + 3806*g**3 - 2*g**2 + 228336*g wrt g. -180*g**3 + 22836*g - 4 What is the derivative of -13477*c**4 + 51868 wrt c? -53908*c**3 What is the second derivative of 229*a**5 + 536*a**4 - 313803*a wrt a? 4580*a**3 + 6432*a**2 What is the third derivative of -459585*r**5 - 12*r**2 - 8301? -27575100*r**2 Find the second derivative of -70449*i**2*r + i**2 - 650*i*r + i - 12*r - 1 wrt i. -140898*r + 2 What is the first derivative of -1261199*r*w + 3667933*r wrt w? -1261199*r What is the second derivative of -746905*h**5 - h**4 + 1809507*h? -14938100*h**3 - 12*h**2 What is the first derivative of -95*p*z**2 + 889*p*z - 2102*p - 24 wrt z? -190*p*z + 889*p What is the first derivative of -32*o**2 + 3*o - 146883 wrt o? -64*o + 3 Differentiate 45268*h*j**3 - 7372*j**3 + 2*j**2 + 7*j with respect to h. 45268*j**3 Differentiate 307*f**3 - 3*f**2 - 14*f + 113748 wrt f. 921*f**2 - 6*f - 14 Find the third derivative of -2662405*v**3 - 116037*v**2 - v. -15974430 Find
{ "pile_set_name": "DM Mathematics" }
n -3, q, 1/5? 1/5 Let u = -2.6 + 1.6. Which is the closest to -0.1? (a) 0.4 (b) 0 (c) u b Let l be ((-1)/3)/((-1)/2). Let i = -4.7 - -5. Let j = 408.1 + -408. What is the closest to j in -1, l, i? i Let x(t) = -t**2 - t + 16. Let u be x(-4). Let v = 0.41 - 0.01. What is the nearest to 0 in v, u, 1? v Let u = -493/11 + 45. Which is the closest to u? (a) -2/15 (b) 0.4 (c) 3 b Let f = -2 + 3. Let j = -2.5 - 9.5. Let w = j + 9. What is the nearest to f in 2/17, w, 0.4? 0.4 Let g = 5.9 + -6. Which is the nearest to -1? (a) -0.01 (b) g (c) -4 b Let l = 3 - -1. Which is the closest to 0.1? (a) l (b) 0.1 (c) 2/11 b Let v be (-2)/2 - 12/12. Which is the closest to 0.1? (a) -1 (b) -2/11 (c) v b Let t = -0.487 + 4.467. Let g = -0.02 - t. Let m = -0.14 - 0.06. Which is the nearest to 2? (a) g (b) m (c) 0.3 c Let i = -67/3 + 22. Suppose -2*q - 4 = 2*q. Let x(h) = 3*h**3 + h**2 - h - 1. Let m be x(q). What is the nearest to m in i, 5, -0.5? -0.5 Let o = -5.7 + 6. Let x = 617/5 - 124. Let j = 2 + -3. What is the nearest to j in o, x, 5? x Let j = 20 - 41/2. Let g = -0.5 - -0.8. Which is the nearest to -5? (a) j (b) -2/5 (c) g a Let d = 67.1 + -62. Let n = d + -5. Which is the closest to n? (a) -0.5 (b) 1/6 (c) 1 b Let h = 2.3 - 0.3. Let g = h + -2.1. Let m be 3*-1 + (136/(-20))/(-2). What is the nearest to m in 2/3, g, -0.5? 2/3 Suppose -3*f - 6 = -6*f. Suppose -f*s = -0*s. Let p = 2.9 + -3. Which is the nearest to -0.1? (a) p (b) 2/23 (c) s a Let h be 46*((-15)/6 - -3). Let g = 139/6 - h. Let v = 0.25 + 0.05. Which is the closest to -1? (a) v (b) g (c) 2 b Let t = 4296/515 - -6/103. Let w = -304/35 + t. Which is the nearest to w? (a) 3/4 (b) -5 (c) 5 a Let r be 387/(-234) + 2/13 + 2. Let g = 3 + -4. Let s = 4.94 - -0.06. Which is the closest to g? (a) r (b) -0.3 (c) s b Let w = 14 + -12. What is the closest to -1/4 in -2, w, -1/5? -1/5 Let y = 3.1 + -3. Let l be -1*1 + (-1)/2. Let k = 17 + -13. Which is the nearest to y? (a) -3/4 (b) k (c) l a Let j be (-145)/(-600) - 0 - (-2)/15. What is the closest to 0 in 3, j, -22/3? j Let b be 15/21 + 1 + -2. Let j be (-2)/(-4)*(-2)/(-5). What is the closest to j in -5, b, 5? b Let x be 2/5 + 8/5. What is the closest to 6 in -2, x, -0.4? x Suppose 2*a - 16 = -3*d + a, -d + 16 = 3*a. What is the nearest to 2/5 in -5, -3/7, d? -3/7 Let t = -6 + 4. Let m = 2.215 - 0.215. What is the nearest to t in -2, m, -1/5? -2 Let w = -71 + 74. Let k = 15 + -11. What is the nearest to 0 in w, k, -0.3? -0.3 Suppose 0 = 2*o - 6, 9*o = 3*l + 4*o + 18. Let z = -5.13 + 0.13. Which is the closest to 1/3? (a) z (b) l (c) 0.2 c Let q = 11/5 + -59/20. Let i be ((-2)/(-4))/(2/(-4)). Let d = 0.07 - -3.93. Which is the nearest to i? (a) q (b) d (c) -4 a Let q = -91 + 92. What is the closest to q in 6/5, 2, -2? 6/5 Let p = 0.3 - -0.2. Let l(r) = -2 + 0 + 0*r**3 - r**3 + 2*r**2. Let o be l(2). Which is the closest to o? (a) p (b) -1/3 (c) -0.5 c Let t = -8 - -7.6. What is the nearest to -2/7 in t, 2/15, -3? t Suppose 4*c - v + 4 = -c, -1 = -3*c + 4*v. What is the closest to 0.1 in c, -0.08, 0.5? -0.08 Let x = 0.56 - 0.46. Let y = 3.4 - 3. Which is the nearest to x? (a) -1 (b) 5 (c) y c Let d be (-18)/(-4)*(-2)/(-6). Which is the nearest to -0.1? (a) 2/5 (b) d (c) 2/31 c Let i = 0.5 + -5.5. Let a = i - -7. Let z(b) = -b**2 + 4*b - 3. Let v be z(2). What is the nearest to a in v, 5, -0.4? v Suppose -2*h + 5*j - 5 = 0, 9 - 3 = 2*j. Which is the closest to 0? (a) h (b) 0.1 (c) 3/5 b Let w = -0.3 + 0.7. Which is the nearest to -2? (a) 1 (b) w (c) 0.2 c Let r = 13 + -12. What is the closest to 1 in r, 0.4, 0.3? r Let u = -1.1 + 0.6. Suppose -m = 3*m. Suppose -4*w + m*w + 4 = 0. Which is the closest to 2/5? (a) -2/5 (b) w (c) u b Let j = 4 + -9/2. Let t = -4.318 - -0.018. Let q = t + 0.3. Which is the nearest to 0? (a) q (b) 2 (c) j c Let d = 46 + -48. Which is the closest to 17? (a) d (b) 3 (c) -0.2 b Let z = 4.7 + -5. Let m = -0.0629 + 0.2629. Which is the nearest to 0.2? (a) 2 (b) z (c) m c Let v(f) = -f**3 + f**2 + 3*f. Let m be v(2). What is the nearest to 0.1 in -1/5, -2, m? -1/5 Let z = -8 - -10. Suppose 2*l + 4*u - 34 + 8 = 0, -5*u = -25. Which is the nearest to z? (a) 5 (b) 2/3 (c) l c Let q = 0.08 - -0.22. Let v = 2 + 4. Let r be (-3 + 0 + 7)/v. What is the closest to -1/3 in q, r, 2/7? 2/7 Let d = -644/5 - -129. What is the closest to 4 in 4, -2, d? 4 Suppose 4*s + 7 - 15 = 0. What is the closest to 2/7 in s, -0.5, 0.2? 0.2 Let z be 50/(-6)*(-2)/10. Let g(l) = -l**3 + 6*l**2 - 4*l - 5. Let y be g(5). Which is the closest to y? (a) z (b) -2/3 (c) -0.5 c Let k be -2 - 11/((-33)/10). Let j = 1125/7 - 161. Which is the closest to j? (a) k (b) 0.2 (c) 2 b Let f = 159.5 - 160. Let o(x) = -x**3 + 6*x**2 - x + 5. Let d be o(6). What is the closest to d in f, -4, 5? f Let r be 0 + 1 + 3/(-3). Let g = r - -1. Let j = 68 - 478/7. Which is the closest to j? (a) 2 (b) -0.3 (c) g b Let i = 10 + -10.5. Suppose 3*t + 9 = 0, -x - x + 9 = -3*t. What is the closest to -0.03 in 2, i, x? x Let m = -3.9 + 6. Let t = m + -2. Let q(x) = -2*x**2 - 7*x - 6. Let v be q(-3). What is the closest to 2/7 in v, -2/5, t? t Let r = -142.8 + 143. What is the closest to -1 in -0.2, r, 1? -0.2 Let p be 2/(-30) + 4/10. Let s = -283/40 + 36/5. Let i = -3.4 + 3. Which is the closest to p? (a) -1/5 (b) i (c) s c Let y be -3 + 6 + (-58)/18. Suppose 5*t + 20 = 3*x, -3*x - 23 = 5*t - 3. Which is the closest to x? (a) -0.5 (b) -3/4 (c) y c Let c = -60 + 58. What is the closest to -1 in c, -0.4, -1? -1 Let u be 22/(-88) - 17/(-100). Let n = -0.4 + -2.6. What is the closest to 0.1 in 2/9, u, n? 2/9 Let o = -1.7 - -2. Let v be (-3 + (-4)/(-2))*2. Which is the closest to -1? (a) o (b) -3 (c) v c Let q = 128 - 129. Which is the closest to q? (a) 0.4 (b) 2 (c) -1/5 c Let j be ((-2)/(-3))/(2/(-3)). Let b be -2 + ((-86)/34)/(-1). Let x = -19/68 + b. What is the closest to j in -2, -3, x? -2 Let o be 16/6*4/(-48). What is the nearest to 1/7 in o, 0.4, -1? 0.4 Let f be 4/(-6) - (-2)/(-15). Let x = 3.12 - 3. Let m = x - -0.08. What is the nearest to m in f, -0.5, -4? -0.5 Let l = -33 - -32. What is the nearest to l in -1, -0.4, -1/7? -1 Let o(f) = f**3 - 4*f**2 - 3*f - 9. Let x be o(5). Let t = -4 + 7. Let r = -7 + t. Which is the closest to x? (a) 0.5 (b) -0.3 (c) r a Let r = 5.8 + -5.69. Which is the closest to r? (a) 2/7 (b) 4 (c) -0.2 a Let q be (-20)/12*(-4)/(-10). Which is the closest to q? (a) 5 (b) 2 (c) 1/4 c Suppose -t - 3*t = 0. Let n = -52345/56 - -6845/7. Let f = n + -43. What is the nearest to t in 3, f, 1? f Let o = -8.78 - 0.22. Let k = 9 + -1. Let j = k + o. What is the nearest to -1 in -1/10, 5, j? j Let d = -2 - -3. Let n = 56 - 55.8. Which is the closest to d? (a) 1/3 (b) n (c) -0.1 a Let g = -6 + 7. Let x = -0.3 + -2.7. Which is the closest to g? (a) -2 (b) 1 (c) x b Let i = -0.17 - -8.17. Let z = -7.7 + i. Let j = z - -0.1. What is the nearest to 1 in j, 2/9, 5? j Let r = 192 - 191. Which is the closest to 1/4? (a) r (b) -1 (c) 3 a Let m = -4.919 + -0.081. What is the nearest to 1/2 in 13, 0.2, m? 0.2 Let l = 31 - 34. What is the nearest to 1/4 in l, 0, -2/7? 0 Let f = 5.07 - 0.07. Let z = 20 + -12. Let m be (3/18)/(2/z). What is the closest to m in f, 0.3, 1? 1 Let d = 17 - 16.6. Which is the closest to 0? (a) d (b) 4 (c) 5 a Let y = 6.3 - 6. Let z = 14 - 12. Let g = 0.1 - 2.1. What is the closest to g in y, 2/17, z? 2/17 Let w = 1/35 - 73/105. What is the closest to w in 2, -0.4, 3? -0.4 Let t = -1 + -1. Let j = 0.0685 - -2.9315. Which is the closest to -1? (a) -2/7 (b) t (c) j a Let w be -4*(-1 - 6/(-5)). Which is the closest to -1? (a) w (b) -2 (c) -5 a Let d = 0.4 - 1.4. Suppose -2*j + 1 = 11. Let i = -6 + 9. Which is the closest to -1/2? (a) j (b) i (c) d c Let o = 135/44 - 13/4. What is the nearest to 1/3 in 0.03, 0.4, o? 0.4 Let r = 0.11 + -10.11. Let o = r + 10.1. Let q be ((-3)/2)/(18/8). Which is the closest to o? (a) q (b) -4 (c) -1/5 c Let d = -5.12 - -0.12. Let q = 9 - 4. Suppose 0*r - 3 = -q*l - 2*r, -2*r = -l - 9. What is the nearest to 1/2 in d, l, -0.5? -0.5 Let c be ((-5)/(-4))/((-2)/(-24)). Let r = c - 44/3. Let i = -358/77 +
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
o + c, -4*o + 260 = 2*j. Calculate the greatest common divisor of j and g. 20 Suppose 73*q - 115*q + 1134 = 0. What is the highest common divisor of q and 1269? 27 Let v(k) = 10*k + 2. Let n = 14 + -13. Let b be v(n). Suppose -32*p = -33*p + b. What is the highest common divisor of 96 and p? 12 Let v = 2 + -26. Suppose -3*n = -219 + 108. Let j = v + n. Calculate the highest common divisor of 26 and j. 13 Suppose 347952 = 101*w - 549099 - 384639. Calculate the greatest common factor of 15 and w. 15 Let k be 4/(-22) + 316/44 + -1. Let u = 76 + 86. What is the greatest common factor of u and k? 6 Let x = 9156 - 8823. Calculate the greatest common factor of 72 and x. 9 Let b be 10*4 + -9 + 88/8. Let k be 10 + -8 - -2 - (-2 - b). What is the greatest common divisor of k and 300? 12 Suppose -3*s + 2*v + 35 = 4*v, 49 = 5*s + v. Let u be (-20)/(-30) - (-1704)/s. Calculate the highest common factor of 20 and u. 10 Let j be 26*(2 + (-5 + 4)/(-1)). Let q be 8/3*(-3 + j)/1. What is the greatest common factor of 25 and q? 25 Let w be 351 + 0 + (3 + -4)*-1. Let a be -3*2*3*w/(-48). Calculate the greatest common divisor of a and 594. 66 Suppose -3*z + 2 = -13. Suppose -4*t = z - 57. Let j(h) = -h**3 + 12*h**2 + 15*h - 21. Let u be j(t). What is the greatest common factor of 10 and u? 5 Let q be 0/1*(-7)/21. Let u = 1 + q. Suppose 4*a = 3*y - 27, -224*a + 10 = 5*y - 219*a. Calculate the highest common divisor of u and y. 1 Suppose -63 = -4*v - 5*c, 1537 = v - 5*c + 1465. What is the greatest common factor of 5967 and v? 27 Let j be (0/8)/(0 + 1). Suppose z + b - 22 = j, b = 5*z - 35 - 99. Calculate the highest common divisor of z and 442. 26 Let w(a) = 7*a + 66. Let u be w(-9). Let b be (1 - -193)/((-1)/(-1) + -3). Let r = b - -100. Calculate the greatest common factor of r and u. 3 Let a(z) = -85*z - 1. Let t(u) = u**2 - 15*u**2 + 13*u**2 + 21*u + 45. Let b be t(23). Let h be a(b). Calculate the highest common divisor of h and 21. 21 Let d = -17504 - -17609. What is the highest common factor of d and 34755? 105 Suppose -378 = -5*c + 147. Suppose -n + 2*n - 65 = 5*u, 2*n - 5*u - c = 0. Let w be (-26)/(-4)*(-7)/((-28)/n). What is the greatest common factor of 26 and w? 13 Let l = -79827 - -79926. Let s(f) = -f**2 - 7 + 4 + 9*f - 6. Let p be s(6). What is the greatest common divisor of l and p? 9 Suppose 4*k = 4, 0*v + 2*k = 2*v + 928. Let z = 676 + v. Calculate the highest common factor of z and 3. 3 Let m = 3172 + -3159. Calculate the greatest common divisor of m and 9. 1 Let h be 2/25 + 3 + 4282278/275. Calculate the highest common divisor of 267 and h. 89 Let g(d) = 2*d + 8. Let m be g(8). Let j be 23/2 - (-48)/96. Let z be 4/m - (-214)/j. Calculate the greatest common divisor of z and 12. 6 Let u(x) = x**2 + 18*x - 55. Let d = -90 - -68. Let t be u(d). Calculate the greatest common divisor of 132 and t. 33 Suppose 50*l = 30*l + 200. Suppose -l*n + 157 = 17. Calculate the greatest common factor of 133 and n. 7 Suppose 0 = 5*u - 127 - 133. Let m = 106 - u. Suppose -5*n - 336 = -4*g - 187, -4*g + 146 = -2*n. What is the highest common divisor of g and m? 18 Let g(v) = -3*v + 9. Let b be g(-11). Let w(s) = 8*s - 2. Let o be w(-5). Let d = 56 + o. What is the highest common factor of d and b? 14 Suppose 0 = -695*s + 711*s - 6208. What is the highest common factor of s and 1843? 97 Let v = -9008 - -10759. What is the highest common factor of v and 206? 103 Let v be (-228)/(-10) + 68/(-85). Suppose -v*q + 4*q = -360. What is the highest common factor of 140 and q? 20 Suppose -3*u - 3*y = -7*u + 19, -u = 5*y + 24. Let s be (-6)/9 - 32/6. Let r(t) = -t + 3. Let m be r(s). Calculate the highest common divisor of u and m. 1 Suppose -44*l + 6030 + 125 = -3745. What is the highest common factor of l and 2100? 75 Let n(s) = -57*s - 4506. Let g be n(-82). What is the greatest common divisor of g and 3066? 42 Suppose -5*w + 282 - 72 = 5*j, -2*j - w = -87. Let r = -42 + j. What is the highest common divisor of 24 and r? 3 Suppose -23*p + 2*p - 3*p = -5520. Calculate the greatest common divisor of 782 and p. 46 Let x be -6*(24 - 6)/6*-2. What is the greatest common factor of 732 and x? 12 Let i = -3985 - -4023. What is the highest common divisor of i and 11381? 19 Let o be (180/24)/((-1)/28*-2). Let h = -521 + 551. Calculate the highest common divisor of o and h. 15 Let k(j) = 126*j. Let c be k(1). Suppose -22*f = -17*f + 5*n - 1025, 4*f = -n + 835. What is the greatest common factor of c and f? 42 Let b(m) = -6*m - 81. Let d be b(-19). Suppose 486 = c + 4*i, -4*c + d*i + 1989 = 34*i. What is the highest common divisor of c and 6? 6 Let z(a) = 28*a**2 + 5*a - 3. Let j be z(3). Let h = 149 + -147. Let y be (h/(-5))/(4/(-240)). Calculate the highest common factor of j and y. 24 Let y = 4142 + -1730. Calculate the greatest common divisor of 67 and y. 67 Let i(c) = -c**3 - 3*c**2 - 5*c - 4. Let y be i(-2). Suppose 30 = z + n, -3*z + y*n - n = -82. Calculate the greatest common divisor of 4 and z. 4 Let m = 1532 - 1456. What is the highest common factor of 1767 and m? 19 Suppose 18412*k = 18426*k - 1358. Calculate the greatest common divisor of k and 873. 97 Let f(m) = m**2 - 56*m - 492. Let y be f(-8). What is the greatest common divisor of y and 12500? 20 Let l = 341 - 329. Suppose 11*t + 312 = l*t - 3*x, 5*t - 1522 = -4*x. What is the highest common divisor of 18 and t? 18 Let z(d) = -15*d - 6. Let u be z(-8). Let m be 9/((-108)/(-34908)) + 1 + -3. Suppose 0 = -19*i + 2*i + m. Calculate the highest common divisor of u and i. 57 Let h(z) = 2*z**3 + 91*z**2 - 45*z + 48. Let y be h(-46). Calculate the greatest common factor of y and 106. 2 Suppose 0 = 2*r + 4*y - 450, 186 + 636 = 4*r - 5*y. Calculate the greatest common factor of r and 9. 3 Let q(d) = -d**2 - 50*d + 1587. Let v be q(21). Calculate the greatest common divisor of v and 2352. 48 Suppose -6*y + 4*y = 5*z - 23, -17 = -5*y + z. Suppose 4*t - q = 668, -q = y*t + 4*q - 692. Calculate the greatest common divisor of t and 63. 21 Let m(v) be the second derivative of 7*v**3/6 + 3*v**2 - 2*v + 11. Let j be m(18). Calculate the greatest common factor of j and 12. 12 Let n(z) = 32*z**2 - 149*z + 2830. Let w be n(24). Calculate the greatest common factor of 74 and w. 74 Let h = -15432 + 15484. What is the highest common factor of h and 55172? 52 Suppose 0 = 4*f + f - 360. Let l = -7417 - -7633. What is the highest common factor of f and l? 72 Let j(r) = 12*r**2 - r - 1. Let m be j(-1). Let h be 2/5 + 3 + 103/5. Suppose h*y - 887 + 23 = 0. What is the greatest common factor of y and m? 12 Let a be (-8)/12 + (-11264)/(-66). Calculate the greatest common divisor of 918 and a. 34 Let w = -4815 - -4990. Calculate the greatest common divisor of w and 42. 7 Let s = -133 + 139. Suppose z + u - 2 = s, 16 = 3*z - 5*u. Calculate the highest common factor of z and 280. 7 Let f(m) = 2*m**3 + 3*m**2 - 34*m + 87. Let a be f(16). Calculate the highest common divisor of 22 and a. 11 Suppose -16558 + 5979 = -11*n + 10508. Calculate the greatest common factor of n and 351. 27 Let g(q) = -q**3 + 15*q**2 + 22*q + 22. Let f be g(16). Suppose -2*p + 32 + f = 0. Calculate the highest common factor of 25 and p. 25 Let v be 171/36 - 154/56. Let t(a) = -2*a**2 + 146. Let u be t(0). Calculate the greatest common divisor of u and v. 2 Let x = 2 - -1. Let i = 286 - 281. Suppose 24*m = i*m + 285. What is the highest common factor of x and m? 3 Suppose 108 = 5*u - 2*d - 30, 2*u - 5*d = 51. Let a be (u/(-35))/(4/(-30)). Let v = a + 6. Calculate the greatest common factor of 36 and v. 12 Let y(t) = -t**3 + 14*t**2 - 33*t - 3. Let k be y(9). Suppose 3*v + h - 242 = 97, -v = 3*h - k. What is the highest common factor of v and 38? 38 Let o = -1855 + 2379. What is the greatest common divisor of o and 1? 1 Suppose 3*o = -5*n - 748, 4*n + 601 = 11*o - 16*o. Let k = 264 + n. Calculate the highest common divisor of 46 and k. 23 Let w(v) = -29*v - 1201. Let k be w(-45). What is the greatest common factor of 8 and k? 8 Let t(y) be the third derivative of -5*y**4/24 - 11*y**3/2 + y**2 - 30*y. Let k be t(-7). What is the highest common divisor of k and 8? 2 Let j(s) = 12*s - 28. Let y be j(16). Suppose y = 5*f - 76. Let a be (156/16)/((-2)/(f/(-9))). Calculate the gre
{ "pile_set_name": "DM Mathematics" }
th term of -12278, -36106, -59924, -83726, -107506, -131258, -154976, -178654? f**3 - f**2 - 23832*f + 11554 What is the l'th term of 399, 1132, 2315, 3948, 6031? 225*l**2 + 58*l + 116 What is the a'th term of -1936, -1879, -1764, -1561, -1240, -771? 5*a**3 - a**2 + 25*a - 1965 What is the w'th term of 74466775, 148933552, 223400343, 297867154, 372333991, 446800860, 521267767? w**3 + w**2 + 74466767*w + 6 What is the m'th term of -201, -1010, -2231, -3870, -5933? -m**3 - 200*m**2 - 202*m + 202 What is the w'th term of -5734, -11376, -16904, -22318, -27618, -32804, -37876? 57*w**2 - 5813*w + 22 What is the k'th term of -4006385, -8012760, -12019135, -16025510? -4006375*k - 10 What is the b'th term of 8431, 8445, 8421, 8335, 8163, 7881, 7465, 6891? -4*b**3 + 5*b**2 + 27*b + 8403 What is the r'th term of -5899, -5750, -5603, -5458, -5315? -r**2 + 152*r - 6050 What is the l'th term of 15644940, 31289853, 46934768, 62579685, 78224604? l**2 + 15644910*l + 29 What is the r'th term of 690, 1454, 2462, 3714, 5210, 6950? 122*r**2 + 398*r + 170 What is the n'th term of -1107, -4675, -10617, -18933, -29623, -42687, -58125? -1187*n**2 - 7*n + 87 What is the d'th term of 13297, 25189, 37075, 48955, 60829, 72697, 84559? -3*d**2 + 11901*d + 1399 What is the h'th term of -21998, -45187, -68376? -23189*h + 1191 What is the p'th term of -23775, -46410, -69035, -91644, -114231? p**3 - p**2 - 22639*p - 1136 What is the r'th term of 158763572, 317527149, 476290728, 635054309? r**2 + 158763574*r - 3 What is the j'th term of 13869057, 13869058, 13869059, 13869060, 13869061? j + 13869056 What is the y'th term of 89756, 89921, 90188, 90551, 91004, 91541, 92156, 92843? -y**3 + 57*y**2 + y + 89699 What is the k'th term of 33175, 33186, 33201, 33220, 33243, 33270? 2*k**2 + 5*k + 33168 What is the g'th term of 229858, 229938, 230018, 230098, 230178, 230258? 80*g + 229778 What is the y'th term of -21881, -21829, -21777? 52*y - 21933 What is the k'th term of -1251682, -1251310, -1250938, -1250566, -1250194, -1249822? 372*k - 1252054 What is the g'th term of -48347, -193386, -435117, -773540? -48346*g**2 - g What is the i'th term of -10034, -20341, -30656, -40985, -51334? -i**3 + 2*i**2 - 10306*i + 271 What is the r'th term of -1810, -3784, -5620, -7318, -8878, -10300? 69*r**2 - 2181*r + 302 What is the a'th term of 1687, 7115, 16299, 29239, 45935? 1878*a**2 - 206*a + 15 What is the z'th term of 787553, 787527, 787501, 787475, 787449, 787423? -26*z + 787579 What is the s'th term of 1546082, 3092164, 4638242, 6184316? -2*s**2 + 1546088*s - 4 What is the n'th term of 717, 1925, 4167, 7983, 13913, 22497, 34275? 90*n**3 - 23*n**2 + 647*n + 3 What is the p'th term of -55051, -54467, -53905, -53377, -52895, -52471, -52117? -2*p**3 + p**2 + 595*p - 55645 What is the v'th term of -569993, -570014, -570035, -570056? -21*v - 569972 What is the c'th term of 71284339, 142568676, 213853013, 285137350, 356421687? 71284337*c + 2 What is the p'th term of -77384, -154759, -232120, -309461, -386776, -464059, -541304, -618505? p**3 + p**2 - 77385*p - 1 What is the c'th term of -106696905, -213393811, -320090717, -426787623? -106696906*c + 1 What is the k'th term of -15992, -15949, -15876, -15773, -15640? 15*k**2 - 2*k - 16005 What is the z'th term of -90295, -90297, -90299, -90301, -90303? -2*z - 90293 What is the j'th term of -29760, -60028, -90292, -120552, -150808? 2*j**2 - 30274*j + 512 What is the l'th term of -7523, -5115, -1099, 4525, 11757, 20597, 31045? 804*l**2 - 4*l - 8323 What is the a'th term of -78990, -78997, -79008, -79023, -79042, -79065? -2*a**2 - a - 78987 What is the x'th term of 7836, 31150, 69692, 123204, 191428, 274106, 370980, 481792? -43*x**3 + 7872*x**2 - x + 8 What is the x'th term of -11166, -11087, -10996, -10887, -10754, -10591? x**3 + 72*x - 11239 What is the w'th term of 1110903, 1110889, 1110863, 1110819, 1110751, 1110653, 1110519, 1110343? -w**3 - 7*w + 1110911 What is the d'th term of -206786, -208122, -209458? -1336*d - 205450 What is the p'th term of -307364, -614678, -921944, -1229162? 24*p**2 - 307386*p - 2 What is the d'th term of -337489, -337871, -338903, -340909, -344213, -349139? -54*d**3 - d**2 - d - 337433 What is the h'th term of -1765853, -1765900, -1765979, -1766090, -1766233, -1766408? -16*h**2 + h - 1765838 What is the u'th term of -2882, -8482, -16790, -27800, -41506? u**3 - 1360*u**2 - 1527*u + 4 What is the u'th term of 8136009, 8136005, 8136001, 8135997, 8135993? -4*u + 8136013 What is the y'th term of 24236, 63562, 117978, 187484? 7545*y**2 + 16691*y What is the h'th term of -340408, -680820, -1021230, -1361632, -1702020? h**3 - 5*h**2 - 340404*h What is the b'th term of -39504, -318348, -1075198, -2549058, -4978932, -8603824? -39834*b**3 + b**2 - 9*b + 338 What is the n'th term of 84555319, 169110640, 253665961? 84555321*n - 2 What is the r'th term of -145, -247, -195, 89, 683, 1665, 3113? 13*r**3 - r**2 - 190*r + 33 What is the v'th term of 134181, 134282, 134453, 134694, 135005, 135386? 35*v**2 - 4*v + 134150 What is the s'th term of -206109, -824565, -1855367, -3298515, -5154009, -7421849? -206173*s**2 + 63*s + 1 What is the y'th term of -16606, -17074, -17540, -18004? y**2 - 471*y - 16136 What is the j'th term of -8529, -8323, -8119, -7917? -j**2 + 209*j - 8737 What is the i'th term of 31084, 31011, 30940, 30871, 30804, 30739, 30676? i**2 - 76*i + 31159 What is the p'th term of -91424, -91177, -90928, -90677, -90424, -90169? p**2 + 244*p - 91669 What is the b'th term of -1866512, -3733041, -5599584, -7466135, -9332688, -11199237, -13065776, -14932299? b**3 - 13*b**2 - 1866497*b - 3 What is the b'th term of 285499, 1142091, 2569779, 4568563, 7138443? 285548*b**2 - 52*b + 3 What is the b'th term of 39997, 160198, 360601, 641200, 1001989, 1442962, 1964113? -b**3 + 40107*b**2 - 113*b + 4 What is the c'th term of 3247, -5309, -19569, -39533? -2852*c**2 + 6099 What is the p'th term of 7847, 14617, 21387, 28157, 34927? 6770*p + 1077 What is the v'th term of 8729832, 17459665, 26189498? 8729833*v - 1 What is the l'th term of -1922, -3490, -4360, -4184, -2614? 58*l**3 + l**2 - 1977*l - 4 What is the f'th term of 2251, 1564, 351, -1388, -3653, -6444? -263*f**2 + 102*f + 2412 What is the w'th term of 79603, 79435, 79135, 78697, 78115? -w**3 - 60*w**2 + 19*w + 79645 What is the t'th term of 309332, 308971, 308610? -361*t + 309693 What is the a'th term of -719, -2714, -6075, -10826, -16991, -24594, -33659, -44210? -4*a**3 - 659*a**2 + 10*a - 66 What is the f'th term of -651594, -1303199, -1954804, -2606409, -3258014, -3909619? -651605*f + 11 What is the m'th term of 95497, 95258, 95019, 94780? -239*m + 95736 What is the a'th term of -37118, -38860, -40600, -42338, -44074? a**2 - 1745*a - 35374 What is the p'th term of -30873, -62008, -93407, -125064, -156973, -189128, -221523, -254152? p**3 - 138*p**2 - 30728*p - 8 What is the d'th term of 31874, 127426, 286674, 509618, 796258, 1146594, 1560626? 31848*d**2 + 8*d + 18 What is the l'th term of -339, -871, -2327, -5175, -9883? -78*l**3 + 6*l**2 - 4*l - 263 What is the z'th term of 73779, 147202, 220625, 294048? 73423*z + 356 What is the h'th term of 2203121, 4406243, 6609363, 8812481, 11015597? -h**2 + 2203125*h - 3 What is the k'th term of -208347, -208218, -208089, -207960, -207831? 129*k - 208476 What is the s'th term of 6492789, 6492792, 6492795? 3*s + 6492786 What is the b'th term of -246198, -246188, -246162, -246114, -246038, -245928, -245778? b**3 + 2*b**2 - 3*b - 246198 What is the j'th term of 216, 699, 1408, 2343, 3504, 4891? 113*j**2 + 144*j - 41 What is the i'th term of -88413, -176175, -263927, -351663, -439377, -527063, -614715, -702327? i**3 - i**2 - 87766*i - 647 What is the h'th term of 18057, 15446, 12833, 10218, 7601, 4982? -h**2 - 2608*h + 20666 What is the h'th term of -10119598, -10119596, -10119594, -10119592, -10119590, -10119588? 2*h - 10119600 What is the i'th term of 696900, 696908, 696930, 696972, 697040, 697140, 697278, 697460? i**3 + i**2 - 2*i + 696900 What is the i'th term of 3880, 7799, 11760, 15769, 19832, 23955, 28144, 32405? i**3 + 15*i**2 + 3867*i - 3 What is the g'th term of -1858, -7651, -17278, -30739, -48034? -1917*g**2 - 42*g + 101 What is the r'th term
{ "pile_set_name": "DM Mathematics" }
ainder when 220829 is divided by 154? 147 What is the remainder when 31229417 is divided by 104? 89 What is the remainder when 44176 is divided by 107? 92 What is the remainder when 490410 is divided by 446? 256 Calculate the remainder when 137432710 is divided by 388. 6 What is the remainder when 42582263 is divided by 14194083? 14 What is the remainder when 411864 is divided by 547? 520 What is the remainder when 1446421 is divided by 6? 1 What is the remainder when 48946049 is divided by 1990? 9 Calculate the remainder when 195758 is divided by 65079. 521 Calculate the remainder when 1108954 is divided by 85302. 28 What is the remainder when 772187 is divided by 829? 388 What is the remainder when 517134493 is divided by 928? 925 What is the remainder when 17505 is divided by 8750? 5 Calculate the remainder when 5211462 is divided by 6074. 6044 Calculate the remainder when 2420478 is divided by 1667. 1661 Calculate the remainder when 350992 is divided by 38. 24 What is the remainder when 309776 is divided by 61818? 686 What is the remainder when 7452320 is divided by 1354? 1258 Calculate the remainder when 1541921 is divided by 38547. 41 What is the remainder when 5859752 is divided by 23? 19 Calculate the remainder when 1794158 is divided by 85. 63 What is the remainder when 6184 is divided by 5944? 240 What is the remainder when 254746 is divided by 42365? 556 What is the remainder when 54742567 is divided by 1231? 1228 Calculate the remainder when 102164214 is divided by 7561. 7543 Calculate the remainder when 154900 is divided by 5059. 3130 Calculate the remainder when 383057 is divided by 12. 5 What is the remainder when 3628363 is divided by 592? 587 Calculate the remainder when 30419 is divided by 1027. 636 Calculate the remainder when 93314 is divided by 507. 26 What is the remainder when 120358 is divided by 85? 83 Calculate the remainder when 108101 is divided by 108090. 11 What is the remainder when 19039 is divided by 1282? 1091 Calculate the remainder when 7409758 is divided by 645. 643 Calculate the remainder when 11541183 is divided by 17783. 16 What is the remainder when 77461 is divided by 25456? 1093 Calculate the remainder when 11044572 is divided by 45. 42 What is the remainder when 749103 is divided by 374528? 47 Calculate the remainder when 14864184 is divided by 2951. 2948 Calculate the remainder when 17144580 is divided by 18. 12 What is the remainder when 695797 is divided by 6827? 6270 What is the remainder when 1550993 is divided by 1194? 1181 Calculate the remainder when 4116570 is divided by 1. 0 What is the remainder when 2072154 is divided by 3070? 2974 Calculate the remainder when 271094 is divided by 1216. 1142 What is the remainder when 1143014 is divided by 103345? 6219 Calculate the remainder when 54192 is divided by 54089. 103 Calculate the remainder when 1645056 is divided by 807. 390 Calculate the remainder when 1325525 is divided by 50. 25 What is the remainder when 5318036 is divided by 7554? 20 What is the remainder when 6321630 is divided by 820? 250 What is the remainder when 1409337 is divided by 39? 33 Calculate the remainder when 378473 is divided by 32. 9 Calculate the remainder when 7539878 is divided by 175346. 0 What is the remainder when 2638474 is divided by 53846? 20 Calculate the remainder when 58982 is divided by 11769. 137 What is the remainder when 4090886 is divided by 58441? 16 What is the remainder when 217780 is divided by 2901? 205 What is the remainder when 34080704 is divided by 209084? 12 What is the remainder when 45563740 is divided by 123? 112 Calculate the remainder when 86666 is divided by 2551. 2483 What is the remainder when 229092 is divided by 264? 204 What is the remainder when 1973186 is divided by 10067? 54 What is the remainder when 410367 is divided by 1554? 111 Calculate the remainder when 7776470 is divided by 103680. 470 Calculate the remainder when 90599 is divided by 318. 287 Calculate the remainder when 1784010 is divided by 272. 234 What is the remainder when 77413 is divided by 1725? 1513 What is the remainder when 21263 is divided by 10415? 433 What is the remainder when 278443869 is divided by 16? 13 What is the remainder when 998576 is divided by 298? 276 What is the remainder when 4100843 is divided by 241226? 1 Calculate the remainder when 62693 is divided by 6266. 33 What is the remainder when 10884597 is divided by 40? 37 Calculate the remainder when 28197 is divided by 5402. 1187 What is the remainder when 59193 is divided by 1907? 76 Calculate the remainder when 273928757 is divided by 27. 14 Calculate the remainder when 50232 is divided by 822. 90 Calculate the remainder when 46815603 is divided by 41. 40 Calculate the remainder when 1204746 is divided by 602370. 6 Calculate the remainder when 69830947 is divided by 35. 32 What is the remainder when 140597 is divided by 747? 161 Calculate the remainder when 8371604 is divided by 82887. 17 Calculate the remainder when 896904 is divided by 896896. 8 What is the remainder when 30113463 is divided by 9016? 23 Calculate the remainder when 6446 is divided by 3100. 246 Calculate the remainder when 11594628 is divided by 80. 68 Calculate the remainder when 2599127 is divided by 866240. 407 What is the remainder when 54973414 is divided by 37? 35 What is the remainder when 21000966 is divided by 547? 542 Calculate the remainder when 221002000 is divided by 257. 247 Calculate the remainder when 71131 is divided by 1458. 1147 Calculate the remainder when 2255862 is divided by 563956. 38 What is the remainder when 10543273 is divided by 1757209? 19 What is the remainder when 6526511 is divided by 36? 35 What is the remainder when 32369 is divided by 199? 131 What is the remainder when 1305742 is divided by 261148? 2 What is the remainder when 4842031 is divided by 66? 7 Calculate the remainder when 9061 is divided by 7726. 1335 Calculate the remainder when 3063278 is divided by 688. 302 What is the remainder when 132785150 is divided by 31? 29 Calculate the remainder when 384065 is divided by 127984. 113 What is the remainder when 1430383 is divided by 1189? 16 Calculate the remainder when 582907 is divided by 94. 13 What is the remainder when 125860348 is divided by 15? 13 Calculate the remainder when 17228128 is divided by 51. 22 What is the remainder when 2784348 is divided by 4337? 4331 Calculate the remainder when 577495 is divided by 44416. 87 What is the remainder when 626184 is divided by 29811? 153 What is the remainder when 5260038 is divided by 1010? 968 Calculate the remainder when 68829359 is divided by 3437. 3434 What is the remainder when 10184958 is divided by 80? 78 What is the remainder when 516814 is divided by 30291? 1867 What is the remainder when 2509905 is divided by 2895? 2835 Calculate the remainder when 98504 is divided by 815. 704 What is the remainder when 26743192 is divided by 142251? 4 What is the remainder when 30815 is divided by 30815? 0 What is the remainder when 87817139 is divided by 6403? 6397 Calculate the remainder when 16728 is divided by 1385. 108 Calculate the remainder when 4131399 is divided by 41. 34 What is the remainder when 24058 is divided by 357? 139 What is the remainder when 113000 is divided by 16027? 811 Calculate the remainder when 13233717 is divided by 1784. 5 Calculate the remainder when 6070468 is divided by 633. 631 What is the remainder when 12240 is divided by 70? 60 Calculate the remainder when 1289858 is divided by 4942. 4938 What is the remainder when 861099 is divided by 1054? 1035 What is the remainder when 22815 is divided by 17029? 5786 Calculate the remainder when 16904368 is divided by 591. 586 Calculate the remainder when 574510 is divided by 191503. 1 What is the remainder when 150890 is divided by 408? 338 What is the remainder when 606103 is divided by 12895? 38 Calculate the remainder when 149058 is divided by 2926. 2758 What is the remainder when 118124 is divided by 23600? 124 Calculate the remainder when 10037 is divided by 6097. 3940 What is the remainder when 4362235 is divided by 462? 31 What is the remainder when 851543 is divided by 94? 91 Calculate the remainder when 15896765 is divided by 928. 125 Calculate the rema
{ "pile_set_name": "DM Mathematics" }
(base 13) to base 3. -21211211012111 Convert 11011310230 (base 4) to base 5. 320201242 Convert -42550 (base 11) to base 16. -f1be Convert -11054240 (base 6) to base 8. -1214320 -6385a (base 13) to base 6 -3502252 782688 (base 12) to base 10 1912136 Convert 23303120 (base 4) to base 7. 260642 What is -38901 (base 14) in base 6? -2551205 Convert 33435245 (base 7) to base 13. 7a6bb8 -115553524 (base 6) to base 11 -129a248 Convert 3db02 (base 15) to base 12. 9686b 83477 (base 11) to base 2 11101101101011001 -242467 (base 8) to base 13 -2bb83 Convert 16b92 (base 16) to base 12. 45a42 Convert 12304223 (base 9) to base 7. 102135540 1103100332 (base 4) to base 6 11150542 Convert -75281 (base 11) to base 6. -2202453 What is 10011001111101001001 (base 2) in base 11? 3a0864 What is -2b2034 (base 12) in base 3? -1101001100111 -44c15d (base 15) to base 16 -320fad What is 10101100000010000000 (base 2) in base 6? 23034120 -30054 (base 8) to base 13 -57c8 Convert -21405411 (base 7) to base 15. -26358c What is 40003505 (base 6) in base 15? 172052 What is 68922 (base 14) in base 16? 3e122 What is 7c8e3e (base 15) in base 12? 1bb1272 What is 15123388 (base 9) in base 14? dd8915 Convert 4299ba (base 16) to base 7. 52046106 What is -11210101111221 (base 3) in base 6? -130330341 Convert -124201 (base 7) to base 2. -101101000101000 What is -100031232 (base 4) in base 8? -201556 What is 110010111100010010110011 (base 2) in base 3? 221010110110122 344701 (base 9) to base 2 110010100000011011 Convert -d0d828 (base 15) to base 12. -33a3418 What is -2ba15 (base 13) in base 14? -22365 What is -2044511 (base 6) in base 2? -11000010011011011 What is -10111111001010011001101 (base 2) in base 12? -2121011 What is 3043441022 (base 5) in base 11? 3578680 Convert 17241070 (base 8) to base 2. 1111010100001000111000 Convert 106329 (base 11) to base 16. 295d7 25350105 (base 6) to base 9 1483845 What is -1a7ae (base 16) in base 11? -74542 Convert 225033 (base 7) to base 13. 1537b Convert -a5704 (base 15) to base 13. -154a9b What is -2401124244 (base 5) in base 10? -5489324 What is -734846 (base 12) in base 4? -12322122312 What is -35750023 (base 9) in base 5? -13431433111 -433471 (base 11) to base 15 -da38c What is -10001020121201 (base 3) in base 2? -110001011001110001111 Convert -7256188 (base 9) to base 7. -44640623 Convert 385a4 (base 12) to base 6. 1351524 116b715 (base 14) to base 12 2958333 Convert 1866547 (base 9) to base 15. 15a7d1 What is 50373 (base 12) in base 2? 11001011100000111 -118857 (base 9) to base 12 -358ba What is -33164142 (base 7) in base 12? -b58b00 Convert 54cad1 (base 15) to base 14. 773213 What is 11323130002 (base 4) in base 2? 101111011011100000010 Convert 1100011111111111 (base 2) to base 10. 51199 Convert -1614603 (base 7) to base 6. -4434213 31211031110 (base 4) to base 8 15451524 Convert -115a87 (base 13) to base 4. -1210233200 Convert -8a715 (base 12) to base 4. -230332001 -10000100000011101010 (base 2) to base 9 -1013876 Convert -10000001100100011011 (base 2) to base 6. -15213003 -1e6dd (base 15) to base 16 -18469 Convert -4225145 (base 6) to base 3. -101110110102 22543 (base 15) to base 11 75042 What is 285270 (base 10) in base 6? 10040410 What is 12322032101 (base 4) in base 7? 21252614 Convert -6004547 (base 9) to base 7. -36063103 Convert -1483752 (base 10) to base 13. -3cc47a -85aa6 (base 11) to base 7 -1030515 What is 6b572 (base 13) in base 16? 2ff77 What is 408e3 (base 16) in base 2? 1000000100011100011 Convert 130131142 (base 5) to base 7. 5233144 -112112321 (base 4) to base 12 -44bb5 7797b (base 12) to base 3 22001121112 1221102120112 (base 3) to base 12 419242 -969ba1 (base 12) to base 15 -3207e1 What is -437018 (base 9) in base 13? -91a4b Convert -3054661 (base 7) to base 13. -cab79 What is 1466623 (base 7) in base 16? 313b4 -5a432 (base 12) to base 13 -4344b Convert -2acbe (base 16) to base 11. -10a779 What is 20002022211 (base 3) in base 5? 12313134 Convert bdeb6 (base 15) to base 2. 10010011011110100111 Convert -b983 (base 15) to base 5. -2224043 What is 6a960 (base 12) in base 9? 237220 What is 150155414 (base 6) in base 13? 844846 What is -11022313313 (base 4) in base 11? -846250 134125 (base 10) to base 5 13243000 151c72 (base 14) to base 13 1c9792 101112211210 (base 3) to base 15 417d6 Convert -21540312 (base 6) to base 14. -12d1d2 What is 202330200123 (base 4) in base 14? 130665d What is 31000101133 (base 4) in base 8? 15002137 -195668 (base 10) to base 7 -1443314 What is -134134233 (base 5) in base 7? -5614415 What is 135bb5 (base 12) in base 9? 538782 -13100122 (base 6) to base 5 -102141410 What is -15c05 (base 15) in base 12? -34765 What is -7346722 (base 10) in base 13? -16a2c96 -130233010022 (base 4) to base 12 -2633322 1203420 (base 7) to base 6 3134010 Convert -2303330132 (base 4) to base 11. -46383a Convert -4472 (base 16) to base 5. -1030042 ab4e (base 16) to base 13 16c65 What is 103242454 (base 6) in base 12? 74942a What is -3971944 (base 10) in base 13? -a90b82 16cd3a (base 15) to base 4 10032022231 -320341401 (base 5) to base 12 -547716 22716 (base 14) to base 7 466026 What is 491003 (base 10) in base 3? 220221112022 -241024213 (base 5) to base 8 -4172217 What is 11503681 (base 9) in base 12? 1a67b01 Convert -1001001002220122 (base 3) to base 16. -e3638a -79799 (base 10) to base 8 -233667 -11278665 (base 9) to base 11 -3106903 -310230303 (base 4) to base 9 -358083 What is -10111010110001111000101 (base 2) in base 4? -113112033011 -1441344230 (base 5) to base 8 -16553476 What is 11553401 (base 6) in base 8? 1330011 Convert 5216704 (base 10) to base 2. 10011111001100111000000 Convert -118292 (base 12) to base 14. -755ca Convert -22b76a3 (base 13) to base 7. -160114523 Convert -10110001000001010110110 (base 2) to base 14. -aadd0a What is -6329b (base 16) in base 9? -678141 -1011000011111011100 (base 2) to base 4 -1120133130 344ab (base 16) to base 6 4331335 Convert 1058363 (base 9) to base 7. 4563624 What is 6320907 (base 10) in base 4? 120013030023 -12037037 (base 8) to base 16 -283e1f What is -2501873 (base 9) in base 2? -101001011111011010010 Convert -66201 (base 7) to base 13. -7701 Convert -1379150 (base 12) to base 4. -32312202030 Convert -28b7b3 (base 15) to base 16. -1df27a 217e0b (base 16) to base 15 2d5555 Convert 10111100100001101010 (base 2) to base 8. 2744152 What is 693cf7 (base 16) in base 6? 403454011 Convert -1002011304 (base 5) to base 8. -7445264 -14423203 (base 5) to base 8 -456263 What is 1430011 (base 5) in base 15? 8d56 5242301 (base 8) to base 7 14563503 Convert -45401014 (base 7) to base 8. -17042657 What is -7cb84 (base 13) in base 16? -37ba2 What is -152542324 (base 6) in base 13? -8884b1 2b241 (base 13) to base 7 460064 Convert 567701 (base 14) to base 3. 12112101012012 Convert -8b335a (base 12) to base 4. -20133010312 What is 59ac3e (base 16) in base 5? 3001024143 What is -205305103 (base 6) in base 16? -3730bf Convert -1291 (base 12) to base 16. -84d Convert -28836 (base 9) to base 5. -1112020 -10b7b18 (base 12) to base 7 -36302303 Convert 2993952 (base 11) to base 13. 10a7a01 What is -15bad5 (base 15) in base 12? -428a0b Convert -a4793 (base 13) to base 12. -123159 What is 3a657 (base 14) in base 6? 3030221 What is -1201031 (base 6) in base 5? -3444233 Convert -574495 (base 13) to base 10. -2065978 What is 1010111011010010010111 (base 2) in base 4? 22323102113 10223221331 (base 4) to base 13 33c887 -1100111000111111 (base 2) to base 5 -3142144 Convert -4413002 (base 7) to base 8. -2041110 What is -60063023 (base 8) in base 5? -11211442133 20a26d (base 14) to base 8 4153331 Convert 112212244 (base 5) to base 16. 7bd3f Convert 101011110010100 (base 2) to base 3. 1010202101 What is 101204504 (base 6) in base 7? 20546155 422340321 (base 5) to base 2 110101110001010101001 What is -2067191 (base 14) in base 8? -72314453 59800 (base 10) to base 14 17b16 Convert -48862c (base 13) to base 4. -12212323000 Convert -11c196 (base 14) to base 13. -184564 What is 31480b (base 12) in base 5? 144302212 40088 (base 10) to base 14 10876 -11e791 (base 15) to base 9 -1548241 What is -42e1 (base 15) in base 11? -a704 What is -abbb (base 14) in base 12? -15281 Convert -38766 (base 9) to base 16. -661e Conv
{ "pile_set_name": "DM Mathematics" }
at is the p'th term of 136, 548, 920, 1258, 1568? p**3 - 26*p**2 + 483*p - 322 What is the w'th term of 1293502, 10347929, 34924238, 82783369, 161686262, 279393857, 443667094, 662266913? 1293490*w**3 + w**2 - 6*w + 17 What is the l'th term of 13873, 55553, 125047, 222355, 347477? 13907*l**2 - 41*l + 7 What is the t'th term of -414, 1563, 3534, 5499? -3*t**2 + 1986*t - 2397 What is the c'th term of 1409102, 1409110, 1409138, 1409198, 1409302, 1409462, 1409690, 1409998? 2*c**3 - 2*c**2 + 1409102 What is the a'th term of -425256, -1701032, -3827332, -6804156, -10631504? -425262*a**2 + 10*a - 4 What is the l'th term of 21622619, 21622616, 21622613, 21622610, 21622607? -3*l + 21622622 What is the r'th term of -16488, -12322, -8150, -3972? 3*r**2 + 4157*r - 20648 What is the i'th term of 14003575, 28007161, 42010747? 14003586*i - 11 What is the k'th term of -550823, -2203381, -4957633, -8813573, -13771195, -19830493? k**3 - 550853*k**2 - 6*k + 35 What is the w'th term of -1775, -1992, -2223, -2474, -2751, -3060, -3407? -w**3 - w**2 - 207*w - 1566 What is the a'th term of 38691696, 77383396, 116075096? 38691700*a - 4 What is the z'th term of 35714, 71437, 107170, 142913, 178666, 214429, 250202? 5*z**2 + 35708*z + 1 What is the t'th term of -18712, -18719, -18710, -18679, -18620, -18527, -18394? t**3 + 2*t**2 - 20*t - 18695 What is the i'th term of 18371, 18719, 19067, 19415, 19763, 20111? 348*i + 18023 What is the g'th term of 10045, 34669, 75709, 133165, 207037? 8208*g**2 + 1837 What is the m'th term of -10204, -10272, -10384, -10540, -10740, -10984? -22*m**2 - 2*m - 10180 What is the f'th term of 3498927, 3498924, 3498921, 3498918? -3*f + 3498930 What is the j'th term of 72076, 278628, 622882, 1104838? 68851*j**2 - j + 3226 What is the f'th term of 1409411, 2818974, 4228535, 5638094, 7047651, 8457206, 9866759? -f**2 + 1409566*f - 154 What is the z'th term of 766292, 1531587, 2296894, 3062219, 3827568, 4592947, 5358362? z**3 + 765288*z + 1003 What is the h'th term of -213607884, -213607882, -213607878, -213607872, -213607864? h**2 - h - 213607884 What is the g'th term of -26673698, -26673704, -26673710? -6*g - 26673692 What is the f'th term of 98665, 98671, 98667, 98647, 98605, 98535, 98431? -f**3 + f**2 + 10*f + 98655 What is the x'th term of 7682472, 15364966, 23047460, 30729954, 38412448? 7682494*x - 22 What is the d'th term of 189450, 380067, 570684, 761301, 951918, 1142535? 190617*d - 1167 What is the m'th term of -5235, -23000, -53301, -96144, -151535? -m**3 - 6262*m**2 + 1028*m What is the t'th term of 2910044, 2910029, 2909988, 2909909, 2909780? -2*t**3 - t**2 + 2*t + 2910045 What is the f'th term of -12454, -49870, -112234, -199552, -311830, -449074, -611290? -f**3 - 12468*f**2 - 5*f + 20 What is the b'th term of -10, -179, -514, -1015, -1682, -2515, -3514? -83*b**2 + 80*b - 7 What is the v'th term of -1276902, -2553814, -3830732, -5107656? -3*v**2 - 1276903*v + 4 What is the u'th term of -8471476, -8471478, -8471480? -2*u - 8471474 What is the p'th term of -10994, -22376, -33762, -45152, -56546, -67944? -2*p**2 - 11376*p + 384 What is the m'th term of -13556, -14486, -15416, -16346? -930*m - 12626 What is the v'th term of -7136, -7045, -6890, -6671, -6388, -6041, -5630? 32*v**2 - 5*v - 7163 What is the w'th term of -1379, -5013, -10915, -18959, -29019? 21*w**3 - 1260*w**2 - w - 139 What is the b'th term of -655573, -655622, -655663, -655690, -655697, -655678? b**3 - 2*b**2 - 50*b - 655522 What is the h'th term of 9154, 15778, 22430, 29110? 14*h**2 + 6582*h + 2558 What is the t'th term of -603379, -1206525, -1809667, -2412805, -3015939, -3619069, -4222195? 2*t**2 - 603152*t - 229 What is the q'th term of 1327882, 1327963, 1328044, 1328125, 1328206, 1328287? 81*q + 1327801 What is the q'th term of 844924, 844904, 844884, 844864, 844844? -20*q + 844944 What is the a'th term of -7560, -15110, -22640, -30150, -37640? 10*a**2 - 7580*a + 10 What is the s'th term of -540, 83, 1162, 2733, 4832, 7495? 6*s**3 + 192*s**2 + 5*s - 743 What is the q'th term of -637714, -637706, -637698? 8*q - 637722 What is the m'th term of 5165, 9169, 13173? 4004*m + 1161 What is the f'th term of -13243, -12425, -11607, -10789, -9971, -9153? 818*f - 14061 What is the o'th term of 122604, 245110, 367422, 489444, 611080, 732234, 852810? -16*o**3 - o**2 + 122621*o What is the a'th term of -35185, -34551, -33493, -32011, -30105, -27775? 212*a**2 - 2*a - 35395 What is the c'th term of 5813, 4826, 3839, 2852, 1865, 878? -987*c + 6800 What is the q'th term of -1666029, -1665705, -1665165, -1664409, -1663437? 108*q**2 - 1666137 What is the r'th term of -176949, -176504, -176059, -175614? 445*r - 177394 What is the p'th term of 13572, 13530, 13470, 13386, 13272, 13122, 12930, 12690? -p**3 - 3*p**2 - 26*p + 13602 What is the d'th term of -280409, -280316, -280237, -280178, -280145? -d**3 - d**2 + 103*d - 280510 What is the s'th term of -58706, -58965, -59224? -259*s - 58447 What is the w'th term of 5604038, 11208077, 16812116, 22416155, 28020194, 33624233? 5604039*w - 1 What is the l'th term of 15880, 63589, 143094, 254389, 397468? -l**3 + 15904*l**2 + 4*l - 27 What is the o'th term of -22100, -44138, -66176, -88214? -22038*o - 62 What is the p'th term of -14682, -15611, -16540? -929*p - 13753 What is the i'th term of -23439161, -46878312, -70317449, -93756566, -117195657? i**3 + i**2 - 23439161*i - 2 What is the s'th term of 188, 1250, 3152, 6002, 9908? 18*s**3 + 312*s**2 - 142 What is the f'th term of -11549, -14334, -17093, -19814, -22485, -25094, -27629? 2*f**3 + f**2 - 2802*f - 8750 What is the i'th term of 198, 286, 454, 696, 1006, 1378, 1806, 2284? -i**3 + 46*i**2 - 43*i + 196 What is the k'th term of -58699, -234355, -527115, -936979, -1463947, -2108019? -58552*k**2 - 147 What is the x'th term of 416410, 832802, 1249194? 416392*x + 18 What is the x'th term of 302867, 605835, 908803? 302968*x - 101 What is the r'th term of -64617, -64784, -64951, -65118? -167*r - 64450 What is the z'th term of -1617, -991, 55, 1521, 3407, 5713? 210*z**2 - 4*z - 1823 What is the z'th term of 27975480, 55950964, 83926450, 111901938, 139877428, 167852920, 195828414? z**2 + 27975481*z - 2 What is the d'th term of 1026240, 1026396, 1026818, 1027638, 1028988, 1031000? 22*d**3 + d**2 - d + 1026218 What is the b'th term of 185282, 185466, 185650, 185834, 186018? 184*b + 185098 What is the v'th term of -16427, -65762, -148011, -263174, -411251, -592242, -806147? -16457*v**2 + 36*v - 6 What is the x'th term of -34861, -139295, -313345, -557005, -870269, -1253131? x**3 - 34814*x**2 + x - 49 What is the j'th term of -16532, -16511, -16490, -16469? 21*j - 16553 What is the k'th term of -370056400, -370056403, -370056406? -3*k - 370056397 What is the t'th term of -689460, -689519, -689578, -689637? -59*t - 689401 What is the m'th term of 830, -242, -1314, -2386, -3458, -4530? -1072*m + 1902 What is the a'th term of -37638, -75969, -114996, -154719, -195138, -236253? -348*a**2 - 37287*a - 3 What is the j'th term of 453495992, 453495988, 453495984? -4*j + 453495996 What is the h'th term of -35794367, -71588741, -107383115? -35794374*h + 7 What is the f'th term of 206, 393, 434, 251, -234, -1099, -2422? -13*f**3 + 5*f**2 + 263*f - 49 What is the y'th term of 3769, 4751, 5799, 6913, 8093? 33*y**2 + 883*y + 2853 What is the r'th term of 74753, 74767, 74791, 74825? 5*r**2 - r + 74749 What is the b'th term of 57880, 56726, 55572, 54418? -1154*b + 59034 What is the y'th term of 43163283, 86326568, 129489853, 172653138, 215816423? 43163285*y - 2 What is the v'th term of 18698384, 18698383, 18698382? -v + 18698385 What is the l'th term of 21432, 42856, 64306, 85794, 107332? 2*l**3 + l**2 + 21407*l + 22 What is the q'th term of -44689, -89247, -133803, -178357, -222909? q**2 - 44561*q - 129 What is the s'th term of 34032449, 34032448, 34032447, 34032446? -s + 34032450 What is the s'th term of 363893, 363928, 364031, 364238, 364585? 6*s**3 - 2*s**2 - s + 363890 What is the y'th term of 21329, 69665, 117999, 166331, 214661, 262989? -y**2 + 48339*y - 27009 What is the j'th term of 46252, 92468, 138624, 184690, 230636, 276432, 322048, 367454? -5*j**3 + 46251*j + 6 What is the k'th term of -21857413, -43714825, -6
{ "pile_set_name": "DM Mathematics" }
ctors of k? 277 List the prime factors of 4/14 + 22673/49 + 7. 2, 5, 47 Suppose -95540 = -16*s - 18*s. List the prime factors of s. 2, 5, 281 Let f = 76 + 383. List the prime factors of f. 3, 17 Suppose -7*z + 3037 = -1779. List the prime factors of z. 2, 43 Let s be (-6)/(-24) - 59/(-4). Let h be s/10*202/(-3). Let p = h + 143. What are the prime factors of p? 2, 3, 7 Let p(q) = -381*q**3 - 3*q**2 - 2*q. What are the prime factors of p(-1)? 2, 5, 19 Let h(u) be the second derivative of u**4/6 - u**3/3 - u**2 - 6*u. Let t be h(-1). Suppose -8 = -t*g + 8. What are the prime factors of g? 2 Let p(s) = 2*s**3 - 9*s**2 + 6*s + 6. Let o(u) = -3*u**3 + 19*u**2 - 11*u - 12. Let x(d) = 3*o(d) + 5*p(d). What are the prime factors of x(-12)? 2, 3, 5 Let p(k) = 3*k - 10. Let f(w) = -w**2 + 1. Let u(s) = 7*s**2 + 9*s - 6. Let c(z) = -6*f(z) - u(z). Let m be c(-8). List the prime factors of p(m). 2, 7 Suppose 0 = 4*s - 72 - 4. Suppose -3*m - s = 11. Let j(g) = -g**2 - 13*g + 10. List the prime factors of j(m). 2, 5 Let w(v) = 46*v**2 + 2. Let b be w(-2). Let l = b - 76. List the prime factors of l. 2, 5, 11 Suppose 5*t - 7060 = -4*s, -s = t - 5*s - 1388. List the prime factors of t. 2, 11 Suppose 4*z - 4*o + 24 = 0, z - 3*o + 4*o = -8. Let s(u) = -u**2 - 5*u + u - 5*u + 10. List the prime factors of s(z). 2, 3 Let s(c) = -2*c - 12. Let d(r) = 3*r - 5. Let z be d(4). Let i be s(z). Let q = 28 + i. List the prime factors of q. 2 Let z(s) = -s**3 + 22*s**2 - 22*s + 45. Let l be z(21). Suppose -d = -4*d + 9. Suppose -2*m = -d*m + l. List the prime factors of m. 2, 3 Suppose 22*j - 1413 - 6001 = 0. What are the prime factors of j? 337 Let p(q) = 3767*q**2 - 91*q + 90. What are the prime factors of p(1)? 2, 7, 269 Let m be (-1 - -58) + (-5 - 0). Suppose -17 = 5*b - m. What are the prime factors of b? 7 Let h(l) = 7 + 9 + 159*l**2 - 16. What are the prime factors of h(-1)? 3, 53 Let s(o) = 2*o**3 + 51*o**2 + 24*o - 23. Let b be s(-25). Let y(d) be the third derivative of 13*d**5/60 - d**4/24 - 2*d**2. List the prime factors of y(b). 2, 5 Let y be 4/22 + (-155)/(-55). Suppose 4*z = -0*b + 3*b - 35, -y*b = -z - 20. Let a = b - -32. What are the prime factors of a? 37 Let x be ((-20)/(-6) + -2)*3. Suppose 3*m + 100 = 4*m - 2*d, -x*m + 5*d + 403 = 0. List the prime factors of m. 2, 3, 17 Let z = -192 + 1520. What are the prime factors of z? 2, 83 Suppose -34 = -5*l + 2*s, -5*l + 78 = 3*s + 29. Suppose 103 = l*g - 177. List the prime factors of g. 5, 7 Suppose -5*x - 5 = -0. Let t(m) = -11*m**3 + m**2 - 3*m - 3. Let y(v) = v**3 - v - 1. Let n(k) = t(k) - 2*y(k). What are the prime factors of n(x)? 2, 7 Suppose -4*r - r = -50. Suppose r - 6 = -u. What are the prime factors of u/18 - (-762)/27? 2, 7 Suppose 4*u - 181 = -3*r, u - 6*u + 5*r = -235. What are the prime factors of u? 2, 23 Let q(w) = 2*w + 6. Let a be q(-3). Suppose 2*b - 486 = -4*t, a = -2*t - 2*t - 3*b + 491. List the prime factors of t. 7, 17 Suppose -5*v = -5*o + o + 2234, 2*o - 1124 = -v. List the prime factors of o. 3, 11, 17 Let j(u) = 4*u**2 - 27*u - 159. List the prime factors of j(24). 3, 499 Let o(v) = 1. Let b(s) = -s + 1. Let x(f) = -6*b(f) + 5*o(f). Let t be x(-3). Let d = t - -41. What are the prime factors of d? 2, 11 Let t(w) = 27*w - 32. Suppose 0 = v + 4*q - 8, 3*v = -2*q + 14. What are the prime factors of t(v)? 2, 19 Suppose 0 = 3*u, 0*x = -2*x + 3*u - 8. Let v be x/8 - 3129/2. List the prime factors of 2/9 - v/45. 5, 7 Suppose 14 + 1 = c. Let j = c - 13. Suppose 0 = j*s + s - 51. What are the prime factors of s? 17 Let z(k) = -k**3 + k**2 - 2*k - 1. Let w be z(-1). Suppose i - 2 = 1, w*i = 4*d + 1. Suppose -d*j - 210 = -8*j. List the prime factors of j. 5, 7 Let r be (17 - 13)/((-1)/(-2)). Let l = r + 26. List the prime factors of l. 2, 17 List the prime factors of 7/(182/(-1131))*(-136)/6. 2, 17, 29 Let h(o) = 2*o**2 + 5*o. Suppose -7*i + 2*i + 29 = -4*c, 0 = 5*i - 5*c - 30. Suppose -f - 5*q + 16 = -i*f, -3*q - 20 = 5*f. What are the prime factors of h(f)? 2, 3 Let w(c) = 11*c - 19. Let v be w(6). Suppose 0 = q + t + 4*t - v, -t = q - 51. What are the prime factors of q? 2, 13 List the prime factors of 4 + 4324/3 - 2/6. 5, 17 Let k be (1 - (1 - 1))*4. Suppose -4*b + 316 = 5*g, g - k*g + 5*b = -160. What are the prime factors of g? 2, 3, 5 Suppose 19*r - 2090 - 2090 = 0. List the prime factors of r. 2, 5, 11 Let z be 18 - 0*(-2)/(-10). Suppose -z*l + 162 = -16*l. What are the prime factors of l? 3 Suppose 0*g + 6 = 4*p - 5*g, 0 = 4*p - 2*g - 12. Suppose 0*v + 4*v - 108 = -p*w, -w - 4*v = -18. Suppose -u + w = 4*u. List the prime factors of u. 2, 3 Let g(y) = -y**2 - 10*y - 2. Let k be g(-10). Let p(v) = -8*v**3 - 4*v**2 + 4. What are the prime factors of p(k)? 2, 13 Let j(b) = -b - 8. Let a be j(-7). Let u be a + (-3 - -3 - 14). Let s = u - -26. List the prime factors of s. 11 Let b(s) = s**2 - 4*s + 7. Let r be b(3). Suppose 0 = 4*j - 0*j. Suppose j = -3*z + 5*c - r*c + 75, 2*z - c = 51. What are the prime factors of z? 2, 3 Let u = 6 - 4. Suppose 5*m + u*l - 29 = 0, 4*m + 4*l = 9*l + 43. Suppose 3*z - 5*k + 32 = m*z, 27 = 3*z + 3*k. What are the prime factors of z? 13 Let z be 1/3 + -4 + 85/15. List the prime factors of 1/z + (-124)/(-8). 2 Let c = 80 - 92. What are the prime factors of (c/(-15))/(8/820)? 2, 41 Suppose -t + 5330 = 12*t. List the prime factors of t. 2, 5, 41 Suppose 15 = 4*u - u. Suppose -2*b - 5*o + 39 = -67, 0 = 3*b - u*o - 209. List the prime factors of b. 3, 7 Let s(d) = 3*d**2 - 2*d**2 + 14 + 14*d - d - 32. What are the prime factors of s(6)? 2, 3 Suppose -4*w = -6*w + 4. Suppose -b = w*u + u - 12, b - 5*u + 20 = 0. Suppose b = 4*i - 27 - 89. What are the prime factors of i? 29 Let r(h) = -h**2 + 6*h + 3. Let k be r(6). Let o = 25 - k. Let d = o - 16. List the prime factors of d. 2, 3 Suppose 4*w + 65 = b, -2*w - 6 = -0*w. Suppose 16 = -4*v, 2*v - 5 + b = -4*k. Let r = k + 13. List the prime factors of r. 3 Let w(y) = -y**3 - 2*y**2 + 3*y - 2. Let x be w(-3). Let s(v) be the first derivative of -v**4/4 + v**2 - v + 26. What are the prime factors of s(x)? 3 Suppose -2*g - o = 4*o - 107, 189 = 3*g - 2*o. What are the prime factors of g? 61 Let n(l) = l**3 + 34*l**2 - 11*l - 46. List the prime factors of n(-33). 2, 19, 37 Let o(z) be the second derivative of 7*z**3/3 - z**2 - 10*z. List the prime factors of o(1). 2, 3 Let w = -17 - -376. Suppose -w - 225 = -4*b. What are the prime factors of b? 2, 73 Let c = -1696 - -3321. List the prime factors of c. 5, 13 Let l be 68/8 - (-2)/(-4). Let d be (-6)/l*(-4 + -12). Suppose -3*z = -2*g + 2*z - d, -g = z - 8. What are the prime factors of g? 2 Let v = 1551 - 912. What are the prime factors of v? 3, 71 Let q = 811 + -524. Suppose -9*t + q = -694. List the prime factors of t. 109 Let z = 391 + -37. Suppose -682 = -7*a + z. What are the prime factors of a? 2, 37 Let b(d) = 80*d**2 + 26*d + 161. What are the prime factors of b(-5)? 3, 677 Let w be 5/(-20) + -2 + 348/(-16). Suppose -2*v - v = -123. Let z = v + w. List the prime factors of z. 17 What are the prime factors of 19048/20 - (-14)/(-35)? 2, 7, 17 Let g be 19/(-7) + (-14)/49. Let p(i) = -3*i**3 + 2*i**2 - 3*i + 3. What are the prime factors of p(g)? 3, 37 Let g = 18 + -27. Let m(s) = 10 + 2*s**3 + 10*s**2 - s**3 + 6*s + 0*s**3 + s. List the prime factors of m(g). 2, 7 Let z(j) = j**3 + 14*j**2 + 12*j - 13. Let l be z(-13). Suppose 5*w - 12*w + 651 = l. What are the prime factors of w? 3, 31 Let w = 37 - 30. What are the prime factors of 18 - -3 - (w - 3)? 17 Suppose 0*w + w - 8 = 0. Let n(j) = -j**3 + 8*j**2 + 9*j + 10. What are the prime factors of n(w)? 2, 41 Suppose -s + 2*m = -m + 20, 2*m + 8 = 0. Let h = 83 - s. What are the prime factors of h? 5, 23 Let x be -2 - (-234 - 0)/2. Let c = x + -82. List the prime factors of c. 3, 11 Let k(y) = 68*y**3 - y**2 + 4*y - 2. What are the prime factors of k(1)? 3, 23 Let k(x) = -x**2 + 11*x - 12. Let j be k(8). Suppose 0 = -2*m + j + 8. What are the prime factors of (m/(-6) - -1)*-63? 2, 3, 7 Let n(h) be the second derivative of 0 + 1/12*h**4 - 5*h + 1/3*h**3 - 1/20*h**5 + 3/2*h**2. What are the prime factors of n(-2)? 11 What are the prime factors of -3*17/34*(-2572)/6? 643 Suppose 0 = 16*n - 546 - 14. List the prime f
{ "pile_set_name": "DM Mathematics" }
-2 - 1 + 0 - 2*n. Let m(p) = -67*p - 69. Let k be m(-1). Calculate v(k). 1 Let w(d) = 6*d + 47. Let s be (15/45)/(60/63 - 1). What is w(s)? 5 Let h(k) = -2*k**3 - 12*k**2 - 3*k + 40. Let v be h(-5). Let r(o) = o**3 - 6*o**2 + o - 7. Determine r(v). -27 Let q(r) = 2*r**2 - 17*r - 5. Suppose -2*m - m + 45 = -9*a, 5*m - 4*a - 53 = 0. What is q(m)? 4 Let f = 26 + -24. Let b(r) = -f*r + 12 - 3*r - 7 + 6*r. Determine b(6). 11 Let q(v) = 3*v + 6. Let o(w) = 12*w + 356. Let u be o(-29). Give q(u). 30 Let k(q) = -2*q + 9. Let m be -15 + (-54)/(-9) + 19. Calculate k(m). -11 Suppose 21 = 2*v + 2*x - 3*x, 5*v = -3*x + 36. Let q be 2/(-4)*(-49 + v). Suppose 2*n + q - 8 = 0. Let y(m) = m + 10. Calculate y(n). 4 Let k(r) be the first derivative of -r**5/40 + r**4/24 - 22*r**3/3 - 16. Let b(m) be the third derivative of k(m). Let l be 11/3 + (-1)/(-3). Calculate b(l). -11 Let q be 0*2/(-4) - 0. Let p(z) = z + 70 + 64 - 155. What is p(q)? -21 Let i(f) = f**2 - 6*f + 6. Let h = 828 - 823. Determine i(h). 1 Suppose -4*l - 5*i = -8, 8*i + 12 = 11*i. Let d(c) = -c + 1. What is d(l)? 4 Suppose 3*q - 3*j = -6*j - 6, 4*q - 2*j - 22 = 0. Let a be (6 + 12)*1/q. Let t(z) be the second derivative of -z**3/6 + 2*z. What is t(a)? -6 Let b(w) be the second derivative of -w**4/6 + 11*w**3/6 - 7*w**2/2 + 17*w + 1. Calculate b(8). -47 Let c(v) = -v - 6. Let t(w) be the second derivative of w**3/6 + 7*w**2/2 - 7*w. Let z(b) = -3*c(b) - 2*t(b). Give z(-4). 0 Let x(r) be the first derivative of 9/2*r**2 + 12*r + 1/4*r**4 + 3*r**3 - 11. Determine x(-8). 4 Let g(w) = w**2 - 2*w - 2. Let z(o) = -o**3 - 6*o**2 - 7*o - 5. Let q = -8 - -13. Suppose -5*j = u + 20 + 1, 5*j + 45 = q*u. Let c be z(j). What is g(c)? 13 Let n(x) = -2*x - 3*x + 14 - 17 - x**3 + 7*x**2 + 0. Calculate n(6). 3 Suppose 24 + 10 = 2*s. Let z = s - 14. Let h(o) = -3*o - o**3 + 0*o - 1 + 3*o**2 - 1 + 2*o**z. Calculate h(-4). -6 Let c(r) = -r - 5. Let b(k) be the first derivative of 4 + k - 5/2*k**2 - 1/3*k**3. Let j be b(-4). Determine c(j). -10 Suppose 0 = 9*a + 126 - 81. Let m(n) = -n**3 - 7*n**2 - 2*n + 7. Give m(a). -33 Suppose 728 - 708 = 4*y, -o = -5*y + 24. Let a(p) = -6*p**2 + 9*p - 7. Let h(i) = -3*i**2 + 4*i - 3. Let d(k) = -4*a(k) + 9*h(k). Give d(o). -2 Let h be (-1)/(-3) + 222/(-18). Let r = h + 15. Let a(t) = -t**2 - 7 - t + r + 9*t. Give a(4). 12 Let q(j) = 0 + 3 - 2*j - 4. Let d(r) = r**2 - 22*r + 1. Let x be d(23). Suppose -4*g = -i - 2*i + x, -i = 4*g + 8. Calculate q(i). -9 Let r(u) = -3 + 93*u**2 + 2 - 29*u**2 - 33*u**2 - 30*u**2. Give r(-1). 0 Let h(u) be the first derivative of -u**4/4 + 4*u**3/3 + 3*u**2 - 4*u + 88. What is h(5)? 1 Let u be -2 + 5 + (-2)/(-1). Let s(z) = -2*z**2 - z - 1. Let h(p) = -p**2 - 2*p - 1. Let i(m) = -3*h(m) + 2*s(m). Give i(u). -4 Let y be (1 + -5)*(-2 - 0). Suppose z - 2*z = y. Let r(p) be the third derivative of -p**5/60 - 3*p**4/8 - 3*p**3/2 + 319*p**2. What is r(z)? -1 Suppose -n + 4*v = -12, -3*n = -3*v - 0*v. Let p(h) be the third derivative of -1/15*h**5 - 1/3*h**3 + 0*h + 0 + 0*h**4 - 1/120*h**6 + 4*h**2. Give p(n). -2 Let g(k) = -35*k + 39. Let h(i) = 57*i - 58. Let r(x) = 8*g(x) + 5*h(x). Determine r(-5). -3 Let b(o) be the second derivative of o**5/20 - o**3/2 - o**2 - 474*o. Give b(-1). 0 Let q(i) = i**3 - i**2 - 7. Let m be q(3). Let c(t) = 8*t + 5. Let d(x) = 15*x + 10. Let w(k) = m*c(k) - 6*d(k). Give w(4). -13 Let m = 18 - 34. Let q be (-26)/(-4) - (-8)/m. Let r(j) = -q*j**2 + 3*j**2 - 3*j**2 - 2 - j + j**3. Determine r(6). -8 Let w = 3 - 4. Let d(t) be the third derivative of t**6/40 - t**5/20 + t**3/3 + 16*t**2. Let u(a) = a**3 + a**2 - 1. Let p(s) = d(s) + u(s). Determine p(w). -5 Suppose -4*x = -3*x - 2. Let p(n) = -2*n - 39. Let o be p(-20). Let h(y) = -18*y + o + 9*y + 6*y. Give h(x). -5 Let v(l) be the second derivative of -l**4/12 - 3*l**3/2 + l + 29. Give v(-7). 14 Let n(z) = -z - 9. Suppose i - 4 = m, 4*i + 0*m + m = 11. Suppose i = s - 1. Let w be (8/s)/((-5)/10). Determine n(w). -5 Let g(c) = c**2 + 3*c + 3. Let v = -39 - -37. Let k be v/2 + 0 + -3. What is g(k)? 7 Suppose 0 = -2*x + 3*x - 121. Let s(c) = -c**2 + x*c + 2*c**2 - 2 - 1 - 126*c. Give s(6). 3 Suppose -13*r + 5*r = -24. Suppose 2*c - 7*c + 10 = 0. Suppose r*j + 1 = c*j. Let d(m) = -4*m + 1. What is d(j)? 5 Let s(u) = u**2 - 20*u + 24. Let r be -2 + 0 - (-27 - -16). Suppose -4*v = -r*v + 95. Let z be s(v). Let y(h) = h**3 - 4*h**2 - 8*h + 6. Determine y(z). -9 Let p = 2 + -1. Let k(a) be the second derivative of 7*a**5/60 - a**4/24 + a**3/6 - 11*a**2/2 + 10*a. Let c(r) be the first derivative of k(r). Give c(p). 7 Let z(y) = -y**2 - 3*y - 2. Let g = -17 + 19. Let c be 318/30 + g/5. Let l = c - 14. Determine z(l). -2 Let j(w) = -w**2 + 106*w + 1029. Let x be j(-9). Let q(h) be the first derivative of h**2/2 - 8*h - 2. What is q(x)? -14 Let a = 300 - 307. Let w(f) = -2*f**2 - 9*f + 1. Give w(a). -34 Suppose -1 - 15 = -4*t. Suppose -3*w - t*w = 14. Let z(k) = -3*k - 3. Calculate z(w). 3 Let t(p) = -5*p - 5. Let z(w) = 1. Let d(q) = -t(q) + z(q). Let b be 42/63*1*-6. Calculate d(b). -14 Let o(r) = r**3 - 2*r**2 + 2*r + 9. Suppose m - 16 = 4*j, -3*m - 2*j - 8 = -0*j. Let f be o(m). Let p(t) = -t**3 + 9*t**2 + t - 13. What is p(f)? -4 Suppose 5*c = 2*h - 0*h - 9, 3*h + 21 = -4*c. Let t(g) = -37 + 13 + 10 + 11 - 3*g. Determine t(c). 6 Let x(l) = 2*l + 4. Let v(p) = p**2 + 5*p - 4. Let d(f) = f. Let g(i) = 5*d(i) - v(i). Let h be g(-3). Give x(h). -6 Let u(a) = a**2 - 6*a + 6. Let s(b) = -b + 15. Let c = 6 + -4. Let t be 1 - (-14 + 2 + c). Let f be s(t). Give u(f). -2 Let z(x) = 2*x**3 + 17*x**2 + 9*x + 12. Let k be z(-8). Let p(i) = 5*i - 8. Calculate p(k). 12 Let x(f) be the second derivative of -f**4/4 + 8*f**3/3 - 3*f**2 - 150*f + 1. Give x(6). -18 Suppose 0 = -26*h - 20 - 136. Let k(d) = -d**2 - d + 1. Calculate k(h). -29 Let i(m) = -19*m + 11. Let l(h) = -16*h + 8. Let q(b) = 5*i(b) - 6*l(b). Calculate q(-13). -6 Suppose 5*d - t = -18 - 77, d = -2*t - 30. Let r be (-70)/d + (-2)/(-4). Let s(l) = -4*l + 4. Give s(r). -12 Suppose 0 = x - 4*o + 2, 4*x - 2*x - 2*o = 2. Let g(b) = -b**2 + 318 - 6*b - 316 - b**x. What is g(-5)? -18 Let v(c) = -3*c**2 - 4*c + 19. Let t(o) = -4*o**2 - 6*o + 18. Let d(h) = -2*t(h) + 3*v(h). Determine d(6). -15 Let g(q) = -q**2 + 2*q + 6. Suppose -4*n = y - 29, 4*y - 33 = -3*n + y. Determine g(n). -18 Let t(f) = 18*f - 12*f - 9*f - f**2 + 5 + 1. What is t(-5)? -4 Let g(s) = 5*s - 12. Let o(v) = -v + 1. Let n(q) = g(q) + 4*o(q). Suppose -b = 38 + 65. Let m = -97 - b. Calculate n(m). -2 Let d(i) be the third derivative of 1/120*i**6 + 0*i - 1/30*i**5 + 17 + 2*i**2 - 1/6*i**3 - 1/24*i**4. Determine d(2). -3 Let c(t) = 2*t - 7. Let f be c(5). Let p(b) = -3*b**2 - 11*b + 11. Let h(i) = -10 - 4 + 5*i**2 + 16*i - 3. Let k(r) = 5*h(r) + 8*p(r). Calculate k(f). -12 Let f(a) be the first derivative of -a**5/60 - a**4/8 - a**3/3 + 1. Let g(b) be the third derivative of f(b). Let v be (-11)/(-352)*-12 - 70/(-16). Give g(v). -11 Let k(p) = -p**3 - 2*p - 28. Let c be k(0). Let t = -26 - c. Let g(o) = -o**3 + 2*o**2. Calculate g(t). 0 Let k = -22 - -27. Suppose 12*t - k*t = 28. Let d(i) = i - 1. Let w(o) = 3*o - 4. Let x(a) = 5*d(a) - w(a). What is x(t)? 7 Let t(c) = 4*c - 13. Let d(p) = 17*p - 41. Let g(m) = -2*d(m) + 7*t(m). Calculate g(5). -39 Let l(r) = -3*r - 1. Let p(f) = f**2 - 19*f + 22. Let i be p(16). Let u be i/6 - 8/(-6). What is l(u)? 8 Let d(f) = -4 + 10*f - 5*f - 2 + 2*f. Let y(h) = -6*h + 5. Let v(a) = -5*d(a) - 6*y(a). Calculate v(6). 6 Let g(p) = -p**2 - 4*p - 5. Let x(k) = -3*k - 1. Let r be x(1). Let y be g(r). Let m(s) be the third derivative of s**5/60 + 5*s**4/24 - 3*s**2. Give m(y). 0 Let y(d) = -d. Let o(p) = p - 1. Let j(b) = -9*b + 4. Let f(x) = j(x) + 5*o(x). Let a be (1 - 3 - -2) + 1. Let q(s) = a*f(s) - 2*y(s). What is q(-1)? 1 Let m(t) = 11*t**2 - 5*t**2 + 5 - 5*t**2 - 7*t + 18*t. Calculate m(-9). -13 Let a = -1649 - -1645. Let i(c) = -7*c - 22. What is i(a)? 6 Let u = -15 + 17. Let d(q) be the first derivative of q**u - 1/4*q**4 - q**3 + 5*q - 3. Determine d(-4). 13 Let u(q) = q**2 - 6*q - 2. Let x = 249 - 243. Determine u(x). -2 Let l(o) = 2*o - 4. Let q = -55 - -60. Suppose -16 = q*v - 46. Determine l(v). 8 Let a = 1655 - 1660. Let c
{ "pile_set_name": "DM Mathematics" }
nce xxx when three letters picked without replacement from xxxyxxxxxxxxxxxxxy? 35/51 Four letters picked without replacement from {d: 4, f: 14}. Give prob of sequence dfdf. 91/3060 What is prob of sequence tn when two letters picked without replacement from atwfwhntffhf? 1/66 Three letters picked without replacement from yyffryffymr. Give prob of sequence rmf. 4/495 Calculate prob of sequence nl when two letters picked without replacement from {k: 6, n: 1, x: 1, p: 1, q: 3, l: 1}. 1/156 Four letters picked without replacement from flqqlqlfqfqfq. What is prob of sequence fffl? 3/715 What is prob of sequence mef when three letters picked without replacement from eeefefmueeef? 7/440 Two letters picked without replacement from {w: 1, e: 1, s: 1, t: 1, x: 1}. Give prob of sequence te. 1/20 Four letters picked without replacement from {d: 4, v: 3, m: 1, z: 3}. Give prob of sequence mvvz. 1/440 What is prob of sequence nnyt when four letters picked without replacement from ytynynytttyyt? 1/286 Three letters picked without replacement from hhhr. Give prob of sequence hhh. 1/4 What is prob of sequence vz when two letters picked without replacement from {z: 3, v: 4, y: 5}? 1/11 Two letters picked without replacement from {i: 1, q: 2, e: 2, g: 2, h: 4, r: 6}. Give prob of sequence ie. 1/136 Three letters picked without replacement from {j: 1, w: 1, g: 1, v: 1, d: 4, y: 12}. What is prob of sequence gyw? 1/570 Three letters picked without replacement from {a: 1, h: 1, d: 2}. Give prob of sequence add. 1/12 Three letters picked without replacement from {v: 2, w: 1, f: 2, z: 2, s: 5, t: 2}. What is prob of sequence fsz? 5/546 Calculate prob of sequence pzq when three letters picked without replacement from tttqptststtztmqs. 1/1680 Four letters picked without replacement from {x: 1, t: 4, f: 2, n: 2, k: 1, i: 4}. What is prob of sequence nnfi? 2/3003 Calculate prob of sequence dd when two letters picked without replacement from {t: 4, n: 2, s: 1, d: 3, x: 8, f: 2}. 3/190 What is prob of sequence dkz when three letters picked without replacement from zdzzzdzzzkkzddzzdzdd? 77/3420 Three letters picked without replacement from {u: 4, n: 5, g: 1, e: 1, b: 3, f: 4}. Give prob of sequence bge. 1/1632 What is prob of sequence ldd when three letters picked without replacement from {k: 4, d: 2, l: 8, w: 2}? 1/210 Calculate prob of sequence zpde when four letters picked without replacement from {e: 4, y: 4, z: 6, q: 1, d: 1, p: 3}. 1/1292 Calculate prob of sequence mhnh when four letters picked without replacement from {h: 9, n: 1, m: 1}. 1/110 What is prob of sequence mq when two letters picked without replacement from {c: 2, m: 5, u: 2, j: 1, l: 4, q: 1}? 1/42 Two letters picked without replacement from gfffffffffffffgfgfgg. Give prob of sequence gg. 1/19 What is prob of sequence bba when three letters picked without replacement from {a: 1, m: 1, b: 2}? 1/12 Calculate prob of sequence bb when two letters picked without replacement from {b: 6, d: 5, k: 1, g: 5}. 15/136 Two letters picked without replacement from {r: 5, w: 2, d: 6, q: 1, a: 1}. Give prob of sequence qa. 1/210 What is prob of sequence lwl when three letters picked without replacement from llswsfdllslf? 1/66 What is prob of sequence fv when two letters picked without replacement from fvvfvfvvffff? 35/132 What is prob of sequence ysy when three letters picked without replacement from yggyssyygygsys? 5/91 Two letters picked without replacement from wmmbhbm. What is prob of sequence hw? 1/42 Four letters picked without replacement from lnqfnnnnnfnlnnssjnnn. Give prob of sequence ffjn. 1/4845 Calculate prob of sequence ee when two letters picked without replacement from legelelelegeee. 4/13 Three letters picked without replacement from ibniaapibbaipa. Give prob of sequence nbb. 1/364 Two letters picked without replacement from wwqgggqgqggowgqqooq. What is prob of sequence oo? 1/57 What is prob of sequence bewu when four letters picked without replacement from {b: 1, e: 3, j: 1, c: 1, w: 3, u: 5}? 15/8008 What is prob of sequence bcbx when four letters picked without replacement from bxxxxxxxxxxxxpbcpxx? 7/23256 What is prob of sequence ssgs when four letters picked without replacement from {g: 9, s: 5}? 45/2002 What is prob of sequence pjd when three letters picked without replacement from jpjsd? 1/30 Calculate prob of sequence ann when three letters picked without replacement from {a: 4, n: 6}. 1/6 Three letters picked without replacement from scscccztsc. What is prob of sequence csz? 1/48 Two letters picked without replacement from {e: 3, l: 2, k: 4, x: 10}. What is prob of sequence ek? 2/57 What is prob of sequence mjlj when four letters picked without replacement from mjjmjjjjooomlommjm? 7/2040 Calculate prob of sequence iv when two letters picked without replacement from eokkivvyo. 1/36 Two letters picked without replacement from labbzqa. Give prob of sequence ql. 1/42 Two letters picked without replacement from lunaomu. What is prob of sequence lo? 1/42 What is prob of sequence hwty when four letters picked without replacement from hhfeftfthhthwfyhtwh? 7/11628 Calculate prob of sequence vpwv when four letters picked without replacement from vvvvpvwvvw. 1/60 Three letters picked without replacement from {k: 5, c: 1, b: 1, g: 3, y: 3}. Give prob of sequence cbk. 5/1716 What is prob of sequence assr when four letters picked without replacement from {s: 2, r: 1, a: 1, k: 1}? 1/60 Calculate prob of sequence ss when two letters picked without replacement from {t: 14, s: 5}. 10/171 Four letters picked without replacement from hbfwwwhhhf. What is prob of sequence wfhw? 1/105 Four letters picked without replacement from {p: 1, f: 4, c: 2}. Give prob of sequence ffcf. 2/35 Three letters picked without replacement from {c: 7, u: 6}. What is prob of sequence ccc? 35/286 Two letters picked without replacement from {o: 1, k: 3, b: 1, j: 2, t: 1, q: 3}. What is prob of sequence kk? 3/55 Calculate prob of sequence rnd when three letters picked without replacement from ddtpntddr. 1/126 Four letters picked without replacement from pvpupupuucu. Give prob of sequence uvuc. 1/396 Two letters picked without replacement from juebhww. Give prob of sequence wu. 1/21 Calculate prob of sequence ejte when four letters picked without replacement from eewejjetjjwjt. 1/143 What is prob of sequence pdl when three letters picked without replacement from {n: 1, p: 2, q: 6, d: 1, x: 6, l: 2}? 1/1224 What is prob of sequence tvsv when four letters picked without replacement from {s: 4, v: 1, t: 2}? 0 Four letters picked without replacement from {o: 11, g: 1}. Give prob of sequence gooo. 1/12 Calculate prob of sequence oob when three letters picked without replacement from {x: 2, o: 2, h: 2, c: 1, j: 1, b: 1}. 1/252 Four letters picked without replacement from {t: 1, b: 3, c: 2, u: 6}. What is prob of sequence bttt? 0 Calculate prob of sequence uw when two letters picked without replacement from uuoglngoguuwlggllono. 1/95 Four letters picked without replacement from xxahaahakaaaak. What is prob of sequence akkh? 4/3003 Two letters picked without replacement from gdnnddpndngngpn. Give prob of sequence pg. 1/35 Calculate prob of sequence ffz when three letters picked without replacement from frfazzfarzrza. 2/143 What is prob of sequence gr when two letters picked without replacement from {g: 1, a: 1, r: 4, o: 1, q: 2}? 1/18 Calculate prob of sequence ych when three letters picked without replacement from cjeqhyyhq. 1/126 Three letters picked without replacement from fuzuufffrrorrfoluurz. Give prob of sequence ouz. 1/342 Three letters picked without replacement from xkkjjpkxkkjxk. Give prob of sequence xjk. 9/286 What is prob of sequence lm when two letters picked without replacement from {m: 10, l: 2}? 5/33 What is prob of sequence fn when two letters picked without replacement from fngmmmfnmfn? 9/110 Three letters picked without replacement from {m: 5, k: 2}. What is prob of sequence kmm? 4/21 Calculate prob of sequence qm when two letters picked without replacement from {e: 1, q: 1, m: 2, x: 1, c: 2}. 1/21 Three letters picked without replacement from zdyyyzy. Give prob of sequence zyd. 4/105 Two letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
rms in 30089*d**3 + 7*d**2 - 30045*d**3 - 5*d**2 + 4*d**2 - 6*d**2. 44*d**3 Collect the terms in 2003*q**2 + 747*q**2 + 786*q**2 - 3538*q**2. -2*q**2 Collect the terms in -9572*x**3 - 17514*x**3 + 1430*x**3. -25656*x**3 Collect the terms in 63488*q**3 + 66939*q**3 + 77937*q**3. 208364*q**3 Collect the terms in 3004764*m - 3004764*m + 12732*m**3. 12732*m**3 Collect the terms in -4229*r**2 + 29777*r**2 + 7417*r**2. 32965*r**2 Collect the terms in -3538*q**3 + 1428*q**3 - 1154*q**3. -3264*q**3 Collect the terms in -5*v + 471 + 300 + 9*v + 0*v - 5*v. -v + 771 Collect the terms in -10101*p**2 - 5270*p**2 - 2603*p**2. -17974*p**2 Collect the terms in -18*p - 236 + 7 - 395 - 45 + 7. -18*p - 662 Collect the terms in -2873*w + 32*w**2 + 2873*w + 9. 32*w**2 + 9 Collect the terms in 59091 - 41*n - 33*n + 107*n - 41*n - 59091. -8*n Collect the terms in -47*v**2 - 163*v + 12*v**2 + 21*v**2 + 61*v + 5*v**2 + 14*v**2. 5*v**2 - 102*v Collect the terms in -1422797839696981*h + 7*h**2 + 1422797839696981*h. 7*h**2 Collect the terms in -13310*a + 2659*a + 2658*a + 2667*a + 2660*a + 2664*a + 10. -2*a + 10 Collect the terms in 15 - 7 + 28164298*p - 8 - 28164288*p. 10*p Collect the terms in -85*b + 146 + 43*b - 148 + 33*b + 32*b. 23*b - 2 Collect the terms in -7154*i**3 + 1823*i**3 + 5208*i**3. -123*i**3 Collect the terms in -4 - 1047*h**3 - 8983*h + 8985*h + 1 - 6. -1047*h**3 + 2*h - 9 Collect the terms in 0*z - 79*z**2 + 68 - 2*z + 42*z**2 + 52*z**2. 15*z**2 - 2*z + 68 Collect the terms in 10053*y - 19947*y - 4 + 11 + 10023*y. 129*y + 7 Collect the terms in 3*o**3 + 942*o - 332*o - 511*o. 3*o**3 + 99*o Collect the terms in -123*v**3 + 39*v**3 - 32*v**2 - 41*v**2 - 43*v**2 + 116*v**2. -84*v**3 Collect the terms in -2 + 1139*d**2 + 21*d + 845*d**2 + 19*d - 11*d. 1984*d**2 + 29*d - 2 Collect the terms in 7971*d - 7973*d - 333*d**3 + 2*d + 2*d**2. -333*d**3 + 2*d**2 Collect the terms in 84987*d**3 - 85044*d**3 + 0*d - 4*d. -57*d**3 - 4*d Collect the terms in -88*v + 191*v + 3997*v**2 - 4055*v**2 - 102*v. -58*v**2 + v Collect the terms in 792*p**2 + 863*p**3 + 797*p**2 - 2382*p**2 + 793*p**2. 863*p**3 Collect the terms in 8193760*n**2 - 13*n**3 - 29*n + 29*n + 8193700*n**2 - 16387460*n**2. -13*n**3 Collect the terms in -124 + 103 - 135 + 97 - 20*p**3 + 59. -20*p**3 Collect the terms in 470*f - 994*f - 4946*f - 4201*f - 1241*f. -10912*f Collect the terms in 211*p**2 + 4*p**3 - 211*p**2 - 484*p - 390*p + 1303*p - 429*p. 4*p**3 Collect the terms in 138 + 149 - 287 + 426*k**3 - 410*k**3. 16*k**3 Collect the terms in 39625831*m - 79251651*m + 39625825*m. 5*m Collect the terms in 730 - 140*t**2 + 823 - 1513. -140*t**2 + 40 Collect the terms in -18911527*o**2 - 4*o**3 + 27*o - 2*o**3 + 4*o**3 - 27*o + 18911527*o**2. -2*o**3 Collect the terms in -301 - 1242955*v + 301 + 18*v**3 + 1242954*v. 18*v**3 - v Collect the terms in -759 + 2*b + 207 + 257 + 268. 2*b - 27 Collect the terms in 82 - 3399*q**2 + 5 - 87 + 937*q**2. -2462*q**2 Collect the terms in -117*c - 110*c + 276*c - 91*c + 8. -42*c + 8 Collect the terms in -20 - 19*x - 14*x + 7*x + 34 + 46. -26*x + 60 Collect the terms in -473881691 + 473881691 + 69*q. 69*q Collect the terms in -25402 + 25877 - p - 8*p + 2*p + p. -6*p + 475 Collect the terms in n - 7*n + 14*n - 8*n - 25028*n**3. -25028*n**3 Collect the terms in -91 - 398*g + 405*g + 30 + 33 + 28. 7*g Collect the terms in 2*q**2 - 2450*q + 3464*q - 1014*q. 2*q**2 Collect the terms in 26800*p**2 - 13402*p**2 - 13398*p**2 + 906*p**3. 906*p**3 Collect the terms in 52743*s + 9844*s**2 - 52743*s. 9844*s**2 Collect the terms in 52 - 155 + 14686*h**3 + 103. 14686*h**3 Collect the terms in 85*o + 115*o + 567*o - 729*o. 38*o Collect the terms in -9775 + 650*f + 3266 + 3258 + 3251. 650*f Collect the terms in 18239394 + 170*k - 18239394. 170*k Collect the terms in -10447256*w**2 + 10447256*w**2 - 4*w**3 + 9*w**3 - 2*w**3. 3*w**3 Collect the terms in -196070839*l + 196070835*l + 47 + 4. -4*l + 51 Collect the terms in -654*f**3 - 17*f**2 + 17*f**2 - 701*f**3 + 1347*f**3. -8*f**3 Collect the terms in 5578 + 40*d + 5585 + 5591 - 22339 + 5585. 40*d Collect the terms in 8358*l - 3676*l - 4094*l. 588*l Collect the terms in -524*l + 29*l + 6269*l. 5774*l Collect the terms in -207024*o + 103485*o + 12 + 103536*o. -3*o + 12 Collect the terms in -15775 - m + 24592 - 11700. -m - 2883 Collect the terms in 97*h**3 + 7 + 21974*h**2 - 21974*h**2 - 18*h**3. 79*h**3 + 7 Collect the terms in 16793*a - 11*a**2 - 2*a**2 + 8 - 16834*a. -13*a**2 - 41*a + 8 Collect the terms in 74502*m**2 + m**3 - 57104*m**2 - 58*m - 17398*m**2. m**3 - 58*m Collect the terms in -1057*s**3 - 7*s + 753*s**3 + 1046*s**3 + 7*s. 742*s**3 Collect the terms in 3 - 12*d**2 + d**2 - 12*d**2 - 66*d**3 - d**2 + 103*d**3. 37*d**3 - 24*d**2 + 3 Collect the terms in -3*l**2 + 4*l**2 - 7*l**2 + 5*l**2 + 2218*l - 1112*l - 1106*l. -l**2 Collect the terms in 21190*o**2 - 10558*o**2 - 10533*o**2 - 15. 99*o**2 - 15 Collect the terms in 40395*b**2 + 67083*b**2 + 57436*b**2 + 1185*b - 1185*b. 164914*b**2 Collect the terms in -43*y**2 - 49*y**2 + 93*y**2 - 1037*y - 8. y**2 - 1037*y - 8 Collect the terms in 0*d**3 - 21081*d + 0*d**3 + d**3 - 41068*d. d**3 - 62149*d Collect the terms in 535167*i + 535135*i + 0 - 1070295*i + 2 - 2. 7*i Collect the terms in p**2 + 20*p**3 - 1184*p + 22*p**3 - 49*p**3 + 0*p**2. -7*p**3 + p**2 - 1184*p Collect the terms in 2587*h**2 + 2466 - 598 - 2589*h**2 - 2*h. -2*h**2 - 2*h + 1868 Collect the terms in 206 + 276 - 31*p**2 - 3*p - 137 + 33*p**2 + 137. 2*p**2 - 3*p + 482 Collect the terms in -1166*a + 32 - 32 - 252*a. -1418*a Collect the terms in -81*r + 24*r**2 - 15*r**2 + 1180 - 12*r**2. -3*r**2 - 81*r + 1180 Collect the terms in -5051890*t - 7993312*t + 3356827*t. -9688375*t Collect the terms in 38*d**3 + 1389844 - 1389844 - 173*d**3 - 51*d**3. -186*d**3 Collect the terms in -5*k - 6*k - 3*k + 13 + 35 + 30. -14*k + 78 Collect the terms in 128*h**2 + 20164091022*h - 20164091022*h. 128*h**2 Collect the terms in -2936*w**2 + 54*w**2 - 103*w**2. -2985*w**2 Collect the terms in 572*j - 304*j**2 - 257*j**2 - 596*j + 563*j**2. 2*j**2 - 24*j Collect the terms in -474*k**3 + 997 + 532*k**3 - 997. 58*k**3 Collect the terms in 276*y**3 - 270 + 375*y**3 + 248*y**3 - 1016*y**3. -117*y**3 - 270 Collect the terms in 7431*w + 7433*w + 7380*w - 22234*w. 10*w Collect the terms in -194 - 6*u + 109 - 8*u + 95. -14*u + 10 Collect the terms in 45126*d - 15026*d - 3*d**2 - 15124*d - 15101*d. -3*d**2 - 125*d Collect the terms in 311 - 130 - 40*j - 53 - 128. -40*j Collect the terms in -5940*b - 6388*b + 1254*b + 319*b. -10755*b Collect the terms in -2 + 1 + 342*y**2 + 1 - 215*y**2 + 345*y**2. 472*y**2 Collect the terms in 6614 + w - 13109 + 6669. w + 174 Collect the terms in -3498*o**2 + 216*o**3 + 3497*o**2 - 49*o**3. 167*o**3 - o**2 Collect the terms in -113*i**3 + 2 + 632*i**2 - 41*i**3 - 627*i**2. -154*i**3 + 5*i**2 + 2 Collect the terms in 8698*m - 2908*m - 2890*m - 2911*m. -11*m Collect the terms in 48 - 2974*x + 85 + 8921*x - 2977*x - 2978*x. -8*x + 133 Collect the terms in -89886*l**3 + 66307*l**3 - 116270*l**3. -139849*l**3 Collect the terms in -8*u + 2*u + 2340*u**2 + 2417*u**2 - 7178*u**2 + 2416*u**2. -5*u**2 - 6*u Collect the terms in 3636*s**3 + 332*s**3 - 2*s**2 - 7351*s**3 + 6 - 5. -3383*s**3 - 2*s**2 + 1 Collect the terms in -127*g**3 - 2*g**3 - 120*g**3 - 112*g**3. -361*g**3 Collect the terms in -279*k**2 + 1965*k**2 - 1684*k**2. 2*k**2 Collect the terms in -133*x**3 - 116*x**3 + 254*x**3. 5*x**3 Collect the terms in -4*k - 732 + 2*k**3 - 729 - 3*k + 2173 - 712. 2*k**3 - 7*k Collect the terms in -89*a - 15 + 20*a - 5528*a**3 + 23*a + 45*a. -5528*a**3 - a - 15 Collect the terms in 46588*t + 13212*t + 1372*t - 8283*t + 64368*t. 117257*t Collect the terms in 4055422*n**3 - 8110907*n**3 - n + 4055456*n**3 - n. -29*n**3 - 2*n Collect the terms in 36*z**2 + 105*z**2 + 4221 - 18*z**2. 123*z**2 + 4221 Collect the terms in -228145*p**2 + 74043*p**2 - 228123*p**2 - p**3 + 98865*p**2. -p**3 - 283360*p**2 Collect the terms in 2*j**3 - 483*j**2 + 255*j - 509*j**2 - 255*j + 992*j**2. 2*j**3 Collect the terms in 176 + 3846594*m - 176. 3846594*m Collect the terms in -156 + 0*r + 64 + 22*r + 89. 22*r - 3 Collect the terms in 362081*
{ "pile_set_name": "DM Mathematics" }
sing order. -0.2, n, b Suppose -7*z = -183 + 204. Put z, -8, 1 in increasing order. -8, z, 1 Let n = -47/286 + 9/26. Put 2/7, 0, 5, n in descending order. 5, 2/7, n, 0 Suppose 2*d = -13 + 5. Let k = -51 - -21. Let f be 54/k - (-1)/(-5). Sort f, d, 1 in descending order. 1, f, d Let h be (-86)/16 + 129/344. Put 2, 4, 7, h in descending order. 7, 4, 2, h Suppose 15*u = 4*u + 7*u. Let f(c) = -2*c**2 - 4*c + 1. Let x be f(-2). Sort x, 4, 3, u. u, x, 3, 4 Suppose i = 0, 2*q + 3*i = 2*i + 62. Sort 0.3, q, -0.5, -2/11 in decreasing order. q, 0.3, -2/11, -0.5 Let q = -1 + 1.2. Let m = -3945 - -3944.7. Put -2/3, q, 1, m in decreasing order. 1, q, m, -2/3 Suppose -z + 0*s = 5*s - 25, z - 20 = -4*s. Let v = 9.3 - 6.3. Sort 0.5, z, v in decreasing order. v, 0.5, z Let v = -30 - -35. Suppose 2*y - 12 = v*y. Suppose 4*f = -l + 13, 5*f = -0*f + 10. Put -2, y, l in descending order. l, -2, y Let a = 2.9941 - -0.0059. Sort a, -0.3, -0.7, 0.05. -0.7, -0.3, 0.05, a Let q = -0.1 - -0.4. Let w = 0.46 + -0.09. Let c = -0.87 + w. Put -5, q, c in descending order. q, c, -5 Let d be 156/80*48/9 - -3. Put 1, 4, d, 5 in decreasing order. d, 5, 4, 1 Let v = -0.305 - -0.27. Let k = -1.035 - v. Let i be (-22)/(-20) - (-2)/(-4). Sort -6/11, i, k in descending order. i, -6/11, k Let h = -99 + 104. Let v = -9 - -7. Sort v, h, 1 in descending order. h, 1, v Let t = -6 - -6.5. Let r be ((-18)/(-28))/((-9)/(-12)). Let z = r + -4/21. Put -4, t, z in ascending order. -4, t, z Suppose 8*v + 2 = -150. Let n = 17 + v. Sort n, 5/3, -3 in decreasing order. 5/3, n, -3 Let g(y) = 4*y - 1. Let r(n) = -2*n. Let k(h) = -6*g(h) - 14*r(h). Let j be k(-4). Let u be 5/(-7) - j/(-35). Sort -3, 2, u in descending order. 2, u, -3 Let g = -589 - -607. Sort 4, g, -5, 3 in descending order. g, 4, 3, -5 Let g(z) = 11*z + 284. Let l be g(-26). Put 4/7, -4, 2, l in decreasing order. 2, 4/7, l, -4 Let c = 398/693 + -2/693. Let f be (-18)/(-4)*(-124)/186. Sort c, f, 0.03. f, 0.03, c Let w(m) = -m**3 + 10*m**2 - 10*m + 8. Let i be w(9). Let f be (-2)/(-4) + i/2. Suppose 7*k - 8*k - 5 = f. Sort 4, 3, k in increasing order. k, 3, 4 Let b = -22 - -104/5. Sort -316, b, -4/5 in decreasing order. -4/5, b, -316 Suppose -6*r + 20 = -r. Let i(m) = 3*m**2 + 73*m + 307. Let j be i(-19). Sort -3, j, -5, r in increasing order. -5, -3, j, r Let m be (-2)/(-4)*(-20 - -4). Let o be m/28 - 11/(-14). Let c = 3.06 + -3. Put c, -0.1, o in decreasing order. o, c, -0.1 Suppose 4*b + 4*u - 24 = 0, -u + 0*u - 9 = -2*b. Let x = 10 - b. Sort -4, 4, x in decreasing order. x, 4, -4 Let h(m) = m**2 - 5*m. Let t be h(5). Let b(s) = s**3 - s**2 - 3*s - 3. Let q be b(4). Let x = q + -30. Sort x, t, -5. -5, t, x Let a = -43 + 134. Let v be (13/a)/(2/(-7)). Put v, 2/3, 5 in decreasing order. 5, 2/3, v Suppose -f - 3*g = -1 + 10, -3*f - 66 = -4*g. Let d = f + 26. Sort 3, d, 2 in decreasing order. d, 3, 2 Suppose 3*u + 19 = 4. Let b be 132 + -7 + 2/2 + 2. Let n = b + -126. Sort 4, u, n in descending order. 4, n, u Suppose u - 1 = -0*u. Let b be (8/(-9) + u)*-2. Put 0.2, b, -0.2 in descending order. 0.2, -0.2, b Let u = 20 - 22. Let f be (-3 - u) + 15/25. Let r(c) = c**2 + 5*c - 2. Let j be r(-5). Sort 0.8, j, f. j, f, 0.8 Let o be -3*2 - (159/(-9) - -12). Put 2/13, o, -0.442 in ascending order. -0.442, o, 2/13 Let f be 3/((-1)/((-4)/54)). Let c = 117 - 115.89. Let q = -0.11 + c. Sort f, q, -2 in descending order. q, f, -2 Let h = 4.2 - 3.2. Let s = -0.8 - -0.84. Let c = s - 0.24. Put h, 0.2, c in increasing order. c, 0.2, h Let r = 5.46 - 0.06. Let y = 6.4 - r. Sort -0.4, y, 0.5, -3 in increasing order. -3, -0.4, 0.5, y Let g = -1 - -4. Let n be g/2 - 2/(-4). Let q = -97 + 94. Sort n, q, 0. q, 0, n Let b be (119/(-14) - -7)/((-3)/4). Sort 1/3, b, -5, -2/5. -5, -2/5, 1/3, b Let k(j) = j**2 + 4*j + j + j + 7*j + 12. Let t be k(-12). Suppose 4*s + 33 - 13 = t. Sort 3, 1, s in descending order. 3, 1, s Let h(k) = 2*k + 1. Let c be h(0). Suppose 2*b - 40 + 10 = -4*d, -3*d = b - 23. Suppose 5*a + 6 = d*a. Put 0, a, c in descending order. a, c, 0 Suppose -4*b + 10*h + 264 = 8*h, 5*b + h = 330. Put b, -1, 5 in decreasing order. b, 5, -1 Suppose 4*f + 0*f = -20. Suppose 6 = -4*b + 3*a, 0 = 4*a - 229 + 237. Put 19, -1, f, b in ascending order. f, b, -1, 19 Let a = 96.8 - 97. Put a, 0, 0.5, -11 in increasing order. -11, a, 0, 0.5 Let k = 211.7 + -212. Sort -0.1, k, 2, -0.05 in increasing order. k, -0.1, -0.05, 2 Suppose 30*q + 33 = 33*q. Let z = -4 - -6. Sort q, -1, z. -1, z, q Let t = 0.6 + -0.5. Let s = -42.6307 - -0.0307. Let b = 43 + s. Sort t, -5, b. -5, t, b Let x be 27/(-33) - -1 - (-80)/44. Put -24, x, -2/11 in increasing order. -24, -2/11, x Suppose 7*p - 12 = 13*p. Put -43, p, -5 in decreasing order. p, -5, -43 Let u(q) = q**3 + 7*q**2 + 7*q + 9. Let c be u(-6). Let w(v) = -6*v - 47. Let s be w(-8). Sort c, s, 4, 0. 0, s, c, 4 Let f(i) = -i**2 + i. Let u be f(0). Let v = 8 + -3. Let k(r) = 6*r**2 - 75*r + 34. Let g be k(12). Sort g, v, u. g, u, v Let m(u) = -u**2 - 48*u - 132. Let s be m(-45). Put 7, 2/5, -5, s in descending order. 7, s, 2/5, -5 Let n(g) = g**2 + 4. Let y be n(0). Suppose -4 = -5*x + 11. Suppose -7 = 5*p - l, -5*l - 2 + 15 = -x*p. Sort -5, p, y. -5, p, y Let a = 1.14 + -63.14. Let h = -61 - a. Let n = 0.2 + 0. Sort h, n, 2/11. 2/11, n, h Suppose 10*r = 13*r - 54. Suppose 5*v + 3*p = r, v + 2*v - 14 = -5*p. Sort -4, -3, v, 5 in decreasing order. 5, v, -3, -4 Suppose -8*o + 6 = -6*o. Let t be -2 - (38/(-8) + o/4). Put -5, -6, t, -3 in decreasing order. t, -3, -5, -6 Let y = -3749.031 + 3753. Let x = y + 0.031. Put -0.4, -4, x in descending order. x, -0.4, -4 Suppose 0 = 5*k - f + 2945, -28*f + 30*f = -5*k - 2960. Sort -0.1, k, 3 in decreasing order. 3, -0.1, k Suppose -3*o - 4 = -p, 21*p = 16*p - 3*o - 34. Suppose -2*t = -a - 1, t + 3*t + 4 = -4*a. Sort p, 5, t in descending order. 5, t, p Suppose -2*r + 9 = -q, q - 4*q = -r - 8. Let t(g) = g**3 - 3*g**2 + g - 1. Let n be t(3). Suppose 20 = -n*x + r*x. Sort x, -5, 1. -5, 1, x Suppose -3*z + 2*w - 5*w = -9, 5*z - 4*w = 33. Suppose 4*m + 3 = -3*u, -4*u - 3 = -0*m + z*m. Let d be (3 + -1)*(-3)/(-2). Sort 2, d, m in descending order. d, 2, m Let i(g) be the second derivative of g**4/12 + 4*g**3/3 - 9*g**2/2 - 9*g. Let q be i(-9). Suppose q = -3*v - v + 8. Put 3, -5, v in increasing order. -5, v, 3 Let v = -259 + 255. Sort v, -2, 3 in descending order. 3, -2, v Let j = 9 + -7. Let k = 4 - j. Let i = -80 + 83. Sort -1, k, i in increasing order. -1, k, i Let t = 11 - 15. Let i be 6/10 + (-16)/((-400)/(-15)). Put t, 23, i, -1 in descending order. 23, i, -1, t Let k = -405 - -407. Put -4, k, -20 in descending order. k, -4, -20 Let u = -635 + 634.5. Sort 2/9, u, 4, 1 in decreasing order. 4, 1, 2/9, u Let q = -0.03 - 2.97. Let h = -3 - q. Let r = -116.7 + 117. Put h, r, -3 in ascending order. -3, h, r Suppose 17*y - 237 + 815 = 0. Put y, 2, 0.5, 6 in descending order. 6, 2, 0.5, y Suppose 2*r = 2*n + 12, -2*r + 2 = 2*n - 10. Suppose -3*f + 27 - r = 0. Sort 5, f, -5 in decreasing order. f, 5, -5 Let j = -30 + 28. Suppose 0 = 84*o - 77*o - 35. Sort o, -5, j, -3 in decreasing order. o, j, -3, -5 Let x = 12 - 7. Let d = -93 - -93. Sort d, x, -16. -16, d, x Let n = -112 + 112. Let f = -3.4 - -2.9. Sort f, -5, n in descending order. n, f, -5 Let p(w) = -3*w - 20. Suppose 0 = -4*h, 3*h + h - 18 = 3*c. Let g be p(c). Let q(x) = x + 3. Let b be q(-4). Sort b, g, 1. g, b, 1 Let c = 2485 - 2491. Put c, 6, -2, -5 in decreasing order. 6, -2, -5, c Suppose -3*a = 4 - 13. Let p(z) = -9*z - z**3 + 2*z + 7*z**2 + a - 1. Let t be p(6). Sort t, -1, 9 in decreasing order. 9, -1, t Let s be (6/18)/(2/(-34)) - -4. Put -1/6, -5, s, -1 in ascending order. -5, s, -1, -1/6 Let w be 0*((-35)/7 + (-72)/(-16)). Sort w, 5, -334 in ascending order. -334, w, 5 Suppose -5*c + 3*r - 19 = 0, 5*r = -8*c + 9*c - 5. Sort 0.2, c, 1, -2/11 in decreasing order. 1, 0.2, -2/11, c Suppose 5 + 10 = 3*j. Suppose 0 = 5*z + 154 - 149. Put 0, z, 6, j in decreasing order. 6, j, 0, z Suppose 2 = -0*u + u. Let i = -2.5 - -0.5. Let v = -4 - i. Put v, u, -3 in decreasing order. u, v, -3 Let s = -326 - -326.1. Sort -5, -6/5, s. -5, -6/5, s Let h be (-2)/((-2)/(-9))*(-6)/18. Let g = -110 - -92. Sort -3, h, 4, g in descending order. 4, h,
{ "pile_set_name": "DM Mathematics" }
4 What is the value of 4*((-3)/(-9) + (-20)/24)? -2 What is the value of (-217)/62*(-2)/14? 1/2 Evaluate (5/(-3))/((-530)/60 + 8). 2 Evaluate (-2)/(-9) + (-384)/756. -2/7 Calculate (-4)/24 + (-82)/36 + 2. -4/9 (-4)/(-54)*3*36/16 1/2 What is 24/(-10)*(345/(-30) - -14)? -6 What is the value of 7 - 10 - 25*4/(-36)? -2/9 What is (2/10)/(0 + -10 + 9)? -1/5 ((-6)/(-14) - (-656)/112) + -6 2/7 What is -3*(50/15 - 2)? -4 Evaluate ((-3)/(-22))/((-84)/(-112)). 2/11 Evaluate 5 + 20/5*1 + -8. 1 What is ((-2)/5)/(78/(-30))? 2/13 What is the value of ((-21)/14)/(9/12)? -2 What is the value of 10/(-40) - 40/(-64)? 3/8 Calculate -4 + 424/40 + -6. 3/5 Calculate -3 - (500/(-36))/5. -2/9 What is the value of -5 - (-2)/(1 - 3)? -6 What is (5 - 5)/(6/3)? 0 Calculate ((-8)/(-12))/(4/6). 1 What is the value of 3/(-15)*-2 - (-153)/(-45)? -3 Evaluate ((-31)/(-11) + -3)/(10/(-22)). 2/5 What is the value of 4 - (-48)/(-72)*3/2? 3 Calculate -2 + (2 - 0) + -2*2. -4 Evaluate 231/39 - (-34)/442. 6 Evaluate 27 + -34 + 0 + 5. -2 (-3)/15 + (-39)/(-45) 2/3 What is the value of (-24)/6*(-9)/(-6)? -6 -17*12/(-34) + (-8 - 1) -3 (-1073)/609 - 6/(-14) -4/3 Evaluate ((-58)/116)/((-45)/12 + 1). 2/11 What is the value of (-2 + 27 - 10)*1/3? 5 (-36)/(-270)*18 - (-3)/5 3 Evaluate (26/4 + -5)*-2. -3 Evaluate (-14)/56 + 3/6. 1/4 Evaluate ((-6)/8)/((-3)/8). 2 ((-8)/36*3)/(24/(-36)) 1 What is the value of (312/(-208))/((-42)/(-8))? -2/7 Evaluate 15/6*((-12)/25)/3. -2/5 What is (-1276)/(-464) + 2 + 11/(-4)? 2 Evaluate (-4)/(-6)*9/2. 3 Calculate 6 + 240/(-45) + (-8)/3. -2 What is 7 + (-1020)/140 - (-72)/7? 10 What is 1/2 - 3/6? 0 Evaluate ((-1)/(40/(-18)))/(174/232). 3/5 What is (-535)/150 + 4 - (-8)/20? 5/6 -3 - (-6 - -4) - 1 -2 Calculate (-2)/(-13) - (-945)/195. 5 Evaluate (-4)/(-2 + -10)*(-4 - -1). -1 Calculate (2/((-16)/(-4)))/((-2)/(-4)). 1 Evaluate 3/((-45)/(-50))*(-6)/4. -5 What is 4 + (10/(-1))/2? -1 Evaluate 34/(-1870) - (-4)/(-22). -1/5 Calculate (10 + -14)/((-5)/(-10)). -8 What is (104/48)/(-13)*(2 + 2)? -2/3 12/(7 - 13) + (-12)/(-5) 2/5 What is 2*((3 - 2) + 1)? 4 Evaluate 4*(-1 - 42/(-44))*-1. 2/11 Evaluate (-266)/42 - 5/(-15). -6 What is the value of ((-3)/(-4))/((-39)/(-208))? 4 Evaluate (-4)/5*(50/1)/10. -4 (2/(-4))/(25/(-200)) 4 Calculate (-1)/3 + 112/480. -1/10 What is (-8)/11*(-7)/((-252)/9)? -2/11 2/(-4)*(-49 - -47) 1 (75/10 + -7)/3 1/6 1/4 - (-85)/(-68) -1 What is the value of (-4)/14 + 155/(-70)? -5/2 (2 - 2) + 3/((-105)/(-14)) 2/5 Calculate (29/5 + -5)/(1/(-5)). -4 Calculate 32/6 - (2 + (-15)/9). 5 What is 2/(-1) + ((-64)/(-30) - 0)? 2/15 (-35)/25 - (-6)/(-10) -2 What is 3/(-4)*6/(-9)*1? 1/2 Calculate (-5 + -6 - -12)*(-2 + 1). -1 What is the value of 18/54*(9/6)/(-1)? -1/2 What is the value of -11 - (2 + -6 + -4 + 1)? -4 What is the value of -2*(0 + 1 - 1/(-2))? -3 What is (66*19/(-342))/((-2)/(-6))? -11 Calculate ((-15)/12)/((-1)/(-4)). -5 What is ((4 - 5) + 2)*3? 3 Evaluate (-15)/25*10/(-84). 1/14 What is the value of ((-8)/2)/2*9/90? -1/5 Calculate (1 - 1)*2/(-8). 0 Evaluate 292/(-219)*(-3)/4. 1 (-36)/693 - 3/33 -1/7 What is the value of (-35)/(-20) - 4/(-16)? 2 What is 1 + (2 - 5)/1? -2 ((-36)/(-8) + -5)*0 0 Evaluate (-2 - 1)/(21/(-28)). 4 Calculate -8 - -3*10/30. -7 What is the value of 4/336*78 - (-6)/(-4)? -4/7 What is the value of ((-66)/44)/(-6*2/(-32))? -4 What is (-12)/8 + (-156)/(-24)? 5 Evaluate (12/63)/((-5)/15). -4/7 (-10)/35*-7 - (0 + -1) 3 Evaluate 17/51 + 3/((-27)/48). -5 10*(-6)/24 - 6/(-6) -3/2 What is the value of (-10)/15 + 4*(-3)/(-6)? 4/3 Evaluate 4/(880/4) + 7/(-35). -2/11 What is (1/(-3))/(6/(25 - 7))? -1 Evaluate ((-20)/(-12))/((1 + -3)/6). -5 What is 3 + 0 - 0/(-9)? 3 -4*(5 + 1/(24/(-150))) 5 What is ((-6)/(-12))/(6 + -8)? -1/4 What is the value of (-21)/(-105) - (148/(-110) - -1)? 6/11 What is (-15)/42*84/315? -2/21 What is (14 + -16)/(-176)*8? 1/11 What is (52/(-78) - 35/6) + 5? -3/2 What is ((-1 - 0) + 3)*(-7 - -5)? -4 Evaluate 364/(-195) - (16/(-30))/(-4). -2 Evaluate 2940/(-198) - -14 - 4/(-6). -2/11 Calculate 12/(-75)*(-10)/(-4). -2/5 What is the value of (-4 - -1)/(2 - (0 - -1))? -3 Evaluate ((-27)/(-6) + -7)/5. -1/2 What is the value of (-32)/7*3/(-6) - 2? 2/7 Calculate 4/(20/5) - 1. 0 Calculate (-2)/(-18)*2*27/18. 1/3 ((-12)/3)/(56 - 38) -2/9 (-3)/12 - (-37)/4 9 Evaluate 316/237 - 19/12. -1/4 What is the value of -10*6/12 - (5 - 11)? 1 What is the value of (-2 + 4 + -3)*(6 + 0)? -6 (-19)/(-57) - (4/(-3))/2 1 What is the value of (-918)/(-4536) + (-1)/(-12)? 2/7 Calculate ((-24)/40)/(-6*3/(-90)). -3 Evaluate (-3)/65 + (0 - 3/(-15)). 2/13 Calculate -6 - (4 - (7 + 18/2)). 6 Evaluate 34/51*(-6)/14. -2/7 (-68)/(-144) + 0 - 4/18 1/4 Calculate (3/(-68))/(249/(-664)). 2/17 Evaluate (-4 - (5 + -1)) + 4. -4 Calculate (-52)/182 + 4/(-14)*-1. 0 Calculate 50/(-160)*(-2)/(-5). -1/8 What is (152/(-12) - -14)/((-40)/36)? -6/5 ((-168)/(-10))/(-3) - 24/(-40) -5 What is the value of 1*(-2)/(-1) + (-40)/20? 0 What is the value of 1/((-13)/(-26)) + -6? -4 Calculate 5 + (-4 - 2*(-15)/(-24)). -1/4 Calculate 11 + 2 - (-100)/(-20). 8 Evaluate (3 - 3)/5 - -3. 3 Calculate 1*4/(-6)*(-150)/(-20). -5 Evaluate (((-28)/(-2))/(-168))/(2/(-8)). 1/3 Calculate ((-3)/15 - 198/(-45)) + -5. -4/5 Evaluate 34/(-153) - (-20)/36. 1/3 Evaluate ((-5)/(-190))/((-9)/18). -1/19 Calculate -59 + 56 - (-2 + 0 - 1). 0 What is the value of (0/(-15))/(-1 - 2)? 0 What is the value of 240/18 - (14 - 4)? 10/3 322/(-35) + (-154)/(-70) -7 What is the value of 8/(-30)*(-1 - 15/(-60))? 1/5 1*(-6)/15 + (-3)/(-5) 1/5 2/4*(-10 + 4) -3 What is the value of 32/(-306) + (-30)/(-135)? 2/17 Evaluate (12/(-30))/(2*2/(-40)). 4 Calculate (-5)/15 + 8/18. 1/9 What is the value of 1/(-6) - 2242/228? -10 What is ((-6)/15)/(3/(-6))? 4/5 What is the value of 1*2*1*91/(-182)? -1 What is (-99)/81 - 3 - 4/(-18)? -4 What is (6/18)/((-2)/(-36))? 6 Evaluate 5191/(-37232) - 1/(-13). -1/16 What is (-12)/54*(-6)/8? 1/6 What is the value of (-602)/(-364) - (-6)/(-4)? 2/13 ((-8)/(-50))/(72/(-180)) -2/5 Calculate (-451)/484 + -3*2/(-8). -2/11 Evaluate (-10)/(-75)*(-3)/(-2). 1/5 What is the value of (9/(-78))/((-21)/(-28))? -2/13 What is the value of 1 + 0 + 14/28? 3/2 What is 2168/(-813) + -1 + (0 - -2)? -5/3 Calculate (-18)/(-8)*(-2 + 12/(-18)). -6 What is the value of (-819)/(-441) + (-1)/(-7)? 2 (-52)/(-1365) - (-4)/(-30) -2/21 What is (-72)/132 + 17/11? 1 Evaluate -14 + (12 - -4) - -8. 10 What is the value of (-6)/(-69) - 3800/23598? -2/27 What is ((-4)/10)/(-2*8/30)? 3/4 Evaluate (-28)/(-4)*(-6)/(-63). 2/3 What is the value of 48/(-195) + (132/30 - 4)? 2/13 Calculate (-12)/60*15/(-9). 1/3 Evaluate ((-7)/2 - -2)*-2. 3 ((-2)/8)/(8 - 13/2) -1/6 164/123 - (-16)/(-3) -4 Evaluate (-270)/324 + 7/12. -1/4 Calculate 1/((-100)/25 + 17/4). 4 What is the value of -8 + -19*(-32)/72? 4/9 (-1)/(-14) + ((-2553)/(-14))/37 5 -2*(((-12)/8 - 1) + 0) 5 3*16/(-432)*2*-1 2/9 ((-5)/(-2))/1*(-184)/230 -2 Evaluate 20 - 29 - (-63)/6. 3/2 Evaluate 2*(-10)/5*-1. 4 Calculate (-851)/(-138) - (-1)/(-6). 6 What is the value of ((-4)/(-42))/(4/(-12))? -2/7 (-108)/(-15) - (2 - -6 - 0) -4/5 Calculate ((-75)/12 + 6)*0. 0 Evaluate (4/(-12) - -1)*(-3)/2. -1 (-1)/3*(-72)/(-40) - 0 -3/5 Evaluate (1*(1 - 3))/(1900/760). -4/5 What is (-69)/63 - 2*1/(-3)? -3/7 What is ((-6)/(-5))/(8/(-10))? -3/2 What is 78/182 - (-6)/(-14)? 0 What is the value of (16 - 15) + (-1 - -2)? 2 ((-32)/(-5) + -6)*5/8 1/4 What is the value of (5 + 0)/(1*5)? 1 What is the value of -4 + (0 - -1)*85/17? 1 Calculate 20/(-18)*((-57)/(-15) + -4). 2/9 What is 13/(-182)*(-14)/4? 1/4 8/(-16)*(-9 + 1) 4 Evaluate 2/(-6) + (638/(-435))/(-11). -1/5 What is the value of (-12285)/(-1547) + 3/51? 8 What is 4 + -1 + (-85)/25? -2/5 What is 2 + (0 - 7/((-385)/(-120)))? -2/11 What is the value of 22*(-6)/(-240) + (-6)/8? -1/5 Calculate (-10)/(-9)*-4*36/96. -5/3 Evaluate (-3)/3*(-8)/(-4). -2 What is the value of -1*0*2/4 - 2? -2 Calculate 64/208 + (-10)/(-52). 1/2 Evaluate ((-36)/(-24))/(6/(-4)). -1 What is (814/(-55) - -9) + 6? 1/5 (-27)/(-36)*(-3)/6 -3/8 Evaluate 1*3 - (7 - (6 - 5)). -3 Evaluate (322/21 + -12)/(2/(-3)). -5 102/136*(-4)/6 -1/2 Calculate 42/(-196)*(-7)/2. 3/4 What is the value of (1/(-2))/((-25)/(-150))? -3 (103/(-1442))/((-1)/6) 3/7 What is (-1)/(-8) + 26/(-16)? -3/2 Evaluate (-7)/7*(2*
{ "pile_set_name": "DM Mathematics" }
, 74390, 106694, 144888, 188978? 238970 What comes next: -50, 112, 222, 148, -242? -1080 What is the next term in 646, 1832, 3568, 5860, 8714, 12136, 16132? 20708 What is next in 1033220, 1033210, 1033176, 1033106, 1032988, 1032810, 1032560? 1032226 What is next in -4930, -13502, -22074, -30646, -39218, -47790? -56362 What is next in -899821, -899635, -899449, -899263, -899077? -898891 What is next in -33319, -33388, -33495, -33634, -33799, -33984, -34183? -34390 What is the next term in 540, -6721, -13982, -21243, -28504? -35765 What is next in 52788, 105164, 157540, 209916, 262292, 314668? 367044 What is the next term in -12170, -18213, -28288, -42401, -60558? -82765 What is the next term in -8049, -15583, -23117, -30651, -38185, -45719? -53253 What comes next: -23150, -23476, -24010, -24746, -25678, -26800, -28106? -29590 What is next in 37260, 75000, 113262, 152046, 191352? 231180 What is the next term in 6962, 11826, 14580, 15224, 13758, 10182? 4496 What is next in -1466837, -1466835, -1466831, -1466831, -1466841, -1466867? -1466915 What is next in 30297, 121163, 272627, 484707, 757421, 1090787, 1484823, 1939547? 2454977 What comes next: 31134, 124656, 280550, 498810, 779430? 1122404 What is the next term in -3518, -3898, -4424, -5102, -5938, -6938, -8108, -9454? -10982 What is next in 4141, 21847, 51353, 92659? 145765 What comes next: 7462, 8099, 9152, 10615, 12482, 14747, 17404, 20447? 23870 What is the next term in -3211327, -6422724, -9634121, -12845518, -16056915, -19268312? -22479709 What is next in 15287, 17488, 19689, 21890, 24091? 26292 What is the next term in -621, -884, -1147, -1410, -1673, -1936? -2199 What is next in -219057, -218800, -218543, -218286, -218029, -217772? -217515 What comes next: -4051, -3862, -3555, -3130? -2587 What is the next term in 110, 49, -36, -151, -302, -495? -736 What is next in -20339362, -20339360, -20339356, -20339350? -20339342 What comes next: -494, -550, -716, -1010, -1450, -2054? -2840 What comes next: -2643, -20982, -70603, -167148, -326259? -563578 What is the next term in 1489, 2797, 4111, 5437, 6781, 8149, 9547? 10981 What is next in -14425, -28751, -43075, -57397, -71717, -86035, -100351? -114665 What comes next: -93880, -93891, -93902, -93907, -93900, -93875? -93826 What comes next: 2317, 4984, 7897, 11056, 14461, 18112? 22009 What comes next: 120569, 121000, 121431, 121862, 122293, 122724? 123155 What is next in -1887, -3192, -4489, -5778, -7059, -8332? -9597 What comes next: -17348425, -69393693, -156135805, -277574761, -433710561, -624543205, -850072693? -1110299025 What is the next term in 4521, 4868, 5215, 5562, 5909? 6256 What is next in -21666, -43418, -65176, -86940? -108710 What is the next term in 147781, 147799, 147817, 147835, 147853? 147871 What comes next: -52268, -53333, -54404, -55481? -56564 What is next in 11481, 11791, 12101, 12411? 12721 What is next in 419062, 1676468, 3772220, 6706318? 10478762 What is next in 13498, 26989, 40488, 53995, 67510? 81033 What is next in 1561, 2988, 4423, 5860, 7293, 8716, 10123? 11508 What comes next: 530030, 530035, 530030, 530009, 529966, 529895, 529790, 529645? 529454 What is the next term in 226131, 226112, 226093? 226074 What is the next term in -4379, -7223, -8533, -8309, -6551, -3259, 1567? 7927 What comes next: 25452337, 50904679, 76357023, 101809369? 127261717 What is the next term in -261, -373, -463, -531, -577? -601 What is next in 12829, 51369, 115575, 205429, 320913, 462009? 628699 What is next in 484210, 484189, 484168, 484147? 484126 What is the next term in 15216, 61118, 137702, 244968? 382916 What comes next: 368671, 369085, 369499, 369907, 370303, 370681, 371035, 371359? 371647 What comes next: 8090, 61807, 207612, 491549, 959662, 1657995? 2632592 What is the next term in -720, -886, -1188, -1626, -2200? -2910 What is next in -4198, -4238, -4278? -4318 What is the next term in 60651025, 60651026, 60651027, 60651028, 60651029? 60651030 What is next in -8867, -38891, -88983, -159149, -249395, -359727, -490151, -640673? -811299 What comes next: -4220603, -16882390, -37985369, -67529540, -105514903, -151941458, -206809205? -270118144 What comes next: -388670, -1554700, -3498084, -6218822, -9716914? -13992360 What comes next: -78811341, -157622678, -236434015, -315245352, -394056689, -472868026? -551679363 What comes next: 86249, 86284, 86319, 86354, 86389? 86424 What is the next term in 49586, 49491, 49430, 49421, 49482, 49631, 49886, 50265? 50786 What is the next term in 57043, 114041, 170993, 227905, 284783? 341633 What is the next term in 1341293, 1341312, 1341331, 1341350? 1341369 What is next in -108822, -108741, -108606, -108417, -108174, -107877? -107526 What is the next term in -2033, -3096, -5027, -7826, -11493? -16028 What is next in 722431, 722287, 722155, 722041, 721951, 721891? 721867 What comes next: 41570632, 41570630, 41570628, 41570626, 41570624? 41570622 What comes next: 11568, 15403, 19238, 23073, 26908? 30743 What comes next: -149806, -150150, -150492, -150832, -151170? -151506 What is the next term in 681, 649, 495, 159, -419, -1299? -2541 What is next in -2586, -2676, -2794, -2946, -3138? -3376 What is next in -451527595, -451527596, -451527597? -451527598 What is the next term in -1038, -4065, -9108, -16167, -25242, -36333? -49440 What is next in 4534, 36971, 125296, 297451, 581378, 1005019, 1596316? 2383211 What is the next term in 27878, 55908, 84064, 112352, 140778, 169348? 198068 What comes next: -5614, -5525, -5412, -5269, -5090, -4869, -4600, -4277? -3894 What comes next: -979, -3608, -7897, -13846, -21455, -30724, -41653? -54242 What is the next term in -880387, -880386, -880385? -880384 What is next in 490836, 982579, 1474324, 1966071, 2457820, 2949571? 3441324 What comes next: 1060932, 1060387, 1059842, 1059297? 1058752 What is next in -11047, 2285, 15617, 28949? 42281 What comes next: -1892881, -7571498, -17035859, -30285964? -47321813 What is next in -11566, -11451, -11246, -10939, -10518? -9971 What is next in -50682446, -101364892, -152047338? -202729784 What is the next term in 322988, 323021, 323060, 323111, 323180, 323273, 323396? 323555 What is next in 6755, 26698, 59875, 106286, 165931, 238810? 324923 What is the next term in -5017933, -5017876, -5017779, -5017642, -5017465? -5017248 What is the next term in 103957940, 103957935, 103957928, 103957919, 103957908, 103957895, 103957880? 103957863 What is next in 1514079, 3028120, 4542093, 6055962, 7569691, 9083244, 10596585? 12109678 What is the next term in 6093514, 6093513, 6093512? 6093511 What comes next: 9000, 13480, 25630, 49284, 88276, 146440, 227610? 335620 What comes next: 5861, 10809, 15775, 20765, 25785, 30841, 35939? 41085 What is the next term in 5882, 11125, 15704, 19619, 22870, 25457? 27380 What is next in -11446, -12240, -13032, -13822, -14610? -15396 What is the next term in -164517, -327220, -489923, -652626, -815329, -978032? -1140735 What is the next term in 1116, 946, 692, 378, 28? -334 What is the next term in -11805212, -11805155, -11805098, -11805041? -11804984 What comes next: 780855, 780847, 780839? 780831 What is next in -573411, -573330, -573115, -572700, -572019, -571006, -569595? -567720 What comes next: -841, -1984, -3399, -5086, -7045? -9276 What comes next: 19438, 19992, 21516, 24496, 29418, 36768, 47032, 60696? 78246 What comes next: 102402429, 102402432, 102402437, 102402444, 102402453, 102402464? 102402477 What comes next: 1147654, 2295306, 3442956, 4590604? 5738250 What is the next term in 183, 1949, 3715, 5481? 7247 What is the next term in 29, -102, -365, -826, -1551, -2606, -4057, -5970? -8411 What is next in 426982, 853990, 1280998, 1708006, 2135014? 2562022 What is the next term in 18672999, 18672998, 18672989, 18672966, 18672923, 18672854, 18672753? 18672614 What is next in -36920, -36827, -36704, -36575, -36464? -36395 What is next in -2922, 21836, 46594, 71352, 96110, 120868? 145626 What is the next term in -4762, -3973, -3184, -2395, -1606, -817? -28 What is next in -7096653, -7096659, -7096669, -7096683, -7096701, -7096723, -7096749? -7096779 What is next in 366276, 366262, 366248? 366234 What is the next term in -8596, -34106, -76526, -135856, -212096, -305246? -415306 What is next
{ "pile_set_name": "DM Mathematics" }
the closest to 1 in 1.49, -7, 3/5, -3, 0.3? 3/5 What is the closest to 1 in 1/3, -0.462, -0.5, -5? 1/3 Which is the closest to 2/3? (a) 0.5 (b) 3/7 (c) 1.065 (d) 0.4 (e) -0.5 a What is the closest to -2 in -9/5, -3/10, 2/347, 0.02? -9/5 What is the closest to 0.1 in 28, 1/3, 1/2, 76? 1/3 Which is the nearest to -0.06? (a) 9 (b) 1.02 (c) -0.6 (d) -0.3 d What is the closest to -22 in -1/20, 1, -2/3, 0.4, 0.1? -2/3 Which is the closest to -2? (a) -24 (b) 2 (c) 0.1 (d) 0.9 (e) -5 c Which is the closest to 0.632? (a) 1/5 (b) -4 (c) 1 c What is the closest to 62 in -0.3, 0.1, -5/3, 12? 12 Which is the closest to 158? (a) -128 (b) 3 (c) -9 b What is the closest to 0 in -5, -165, -0.4, 37? -0.4 Which is the closest to 138? (a) 1 (b) -1/3 (c) -6 a What is the closest to -1 in 0.6, 3, 0.3, -984? 0.3 What is the nearest to -1022 in -8/7, -1, 2, 1? -8/7 Which is the nearest to 3/2? (a) -1/6 (b) 27 (c) 21 a What is the nearest to 2.4 in 2/11, -1/5, 0.07, 1, 70? 1 Which is the closest to 1/3? (a) 1/4 (b) 86 (c) 9 a Which is the nearest to -2/5? (a) -2 (b) 1/86 (c) -109/11 b Which is the closest to -30? (a) -71/2 (b) 0 (c) -5 (d) -3 (e) -4 a Which is the nearest to -14? (a) -2 (b) 0.3 (c) -10567 (d) -3/4 a Which is the closest to -0.1? (a) 1 (b) -31 (c) 2 (d) -15 (e) -5/3 a What is the closest to 0.1 in -11/6, -3/4, -1, -91? -3/4 Which is the nearest to 0.3? (a) 12.2 (b) 0.5 (c) -4 (d) 3 b What is the closest to 106709 in -1/3, -2, -0.1? -0.1 What is the nearest to 274 in 1, -3873, 5? 5 Which is the nearest to -4? (a) 1/2 (b) 9 (c) -4 (d) -5 (e) 31 c Which is the closest to -25? (a) -8 (b) 2/309 (c) 3 (d) -2/7 a Which is the nearest to 0? (a) 35 (b) 0 (c) -1 (d) 0.5 (e) 28 b What is the closest to 0.4 in 230, -1/8, -4, 126, 0.4? 0.4 What is the closest to -0.1 in -4, -3391, 2/3, 12/47? 12/47 Which is the closest to 0? (a) 7454 (b) 2 (c) 4 (d) 0 d Which is the nearest to -8/3? (a) -2/15 (b) 5 (c) -5 (d) -47/4 (e) -0.5 e What is the closest to 0 in -36, 1/30, 18? 1/30 Which is the nearest to -1/4? (a) 5 (b) 1 (c) -1/8 (d) -2/21 (e) 632/115 c What is the closest to 0 in -73, 3.9, 5, -2? -2 What is the nearest to -0.1 in -32.6, -1/7, -4, 294? -1/7 What is the nearest to 2 in 551, 5, -5, 4? 4 Which is the closest to 0.7? (a) -6 (b) 0.2 (c) -2262 b What is the nearest to 198 in 13/2, 2, 0.5? 13/2 What is the closest to -3 in 0.7, -6, -2? -2 What is the closest to 0.1 in 5, -353, -1/4, -1? -1/4 Which is the nearest to 2/109? (a) -2 (b) 0.2 (c) 36/13 (d) -0.2 (e) -1/2 b What is the closest to 2 in 6, 2, -2/103, 3/7? 2 Which is the closest to 1? (a) -83/29 (b) 1/6 (c) 1/3 (d) 3 c Which is the closest to 0.01? (a) -0.4 (b) -2 (c) -0.7 (d) -14 a Which is the closest to -2/7? (a) 1.1 (b) 0.37 (c) 6/13 b Which is the nearest to -0.4? (a) 0 (b) 0.4 (c) 2/11 (d) 0.12365 (e) -1 a Which is the closest to -40? (a) -2/9 (b) -2 (c) 27 (d) -4/3 b Which is the closest to -62? (a) -0.01 (b) -0.6 (c) -0.5 b Which is the nearest to 0.2? (a) 1/10 (b) 0.5 (c) 2/17 (d) 689 c Which is the closest to 1? (a) 0.3 (b) 1 (c) -4/405 b What is the nearest to 0 in 0.29, -8, -15? 0.29 Which is the closest to 4? (a) -5 (b) -6 (c) 0.31 (d) 7 d What is the nearest to 243 in 0.3, -2/21, -5, 3, 15? 15 Which is the nearest to 1/2? (a) -0.049 (b) -21/19 (c) -4 a What is the closest to 4/9 in 4.56, 3, 65? 3 What is the nearest to -3/64 in -0.17, -1/2, -17? -0.17 What is the closest to -0.061 in -2/11, -3/4, -0.05? -0.05 What is the nearest to -2 in 3, 2, 2/7, -482, 0.06? 0.06 Which is the closest to -1? (a) -14 (b) -2/9 (c) -1/7 (d) -0.1 b What is the nearest to -20.6 in -4, -1, -1/6, -3? -4 Which is the nearest to -2.9? (a) 3/2 (b) 19747 (c) 0.3 (d) 5 c What is the nearest to 1/3 in 1/3, 4, -4/7, 5452? 1/3 What is the closest to -0.2 in -28/89, 3, 0.5, -0.1? -0.1 Which is the closest to -3/82? (a) -0.2 (b) -1 (c) -0.04 c What is the nearest to 0.2 in -2/45, -3/2, -5? -2/45 Which is the nearest to 0.1? (a) 201 (b) 12 (c) 0.5 c Which is the closest to 1? (a) 63 (b) 6 (c) 4 (d) 10/7 d Which is the nearest to -87? (a) -3 (b) 0.5 (c) -27 (d) 4 c What is the closest to -1/2 in 1, 0.5, 5, -6533, -1/7? -1/7 Which is the closest to 4? (a) 0.3 (b) -120 (c) -2/11 (d) -39 a Which is the closest to 0.1? (a) -12 (b) -6 (c) -2/11 (d) -15 c What is the closest to 1 in -1496, 2/7, 2, 5/3? 5/3 What is the nearest to 0.0002 in 4, 19, -7, 1/4? 1/4 What is the nearest to 268 in 5/3, -3, -7/3? 5/3 What is the closest to -1 in 0.2, 188, -0.1, -3, -11? -0.1 What is the closest to -2/5 in 17, -5, -129? -5 Which is the nearest to -1.73? (a) 1/2 (b) 2/5 (c) 0.25 (d) -3 d What is the closest to 38 in 6, -16, 2.4? 6 What is the nearest to 0.0073 in -2/5, 0.2, 5, -9/5? 0.2 What is the nearest to -2/3 in 2, -378, -2/5, -0.5? -0.5 What is the nearest to -0.058 in 1/4, 4/5, 0, -2/3, 0.4? 0 What is the closest to 17 in -0.5, 11/18, 0.4? 11/18 Which is the nearest to -2? (a) 1052 (b) 2 (c) 3 (d) 0.4 d What is the nearest to -295 in 1/9, -0.5, 6? -0.5 Which is the nearest to 2.5? (a) -2/3 (b) -1/4 (c) 0.3 (d) -82 c What is the closest to -1/2 in -0.035, -3, 0.4, -1, 2/15? -0.035 What is the nearest to 1 in -96381, 1/5, 2/3? 2/3 What is the nearest to 2 in 361/17, -4/3, -2/9, 1/2? 1/2 Which is the closest to -0.1? (a) 6 (b) 8 (c) 32 a Which is the closest to -1.7? (a) -0.2 (b) -0.7 (c) -2/3 (d) -2 (e) 8.7 d What is the closest to 0.1 in 56, 40, 0.3, -4? 0.3 What is the closest to -2 in -2/11, -1/5, -18.4, 0.0282, -3? -3 What is the closest to 4 in -14, 0.072, 0.06? 0.072 What is the nearest to 200.06 in -3/2, -60, 0.3? 0.3 What is the nearest to 2 in 7, 847, -0.1? -0.1 Which is the closest to 1? (a) -4 (b) 0.1 (c) -3 (d) 410/31 b Which is the closest to -0.191? (a) 0.3 (b) 0 (c) -2/9 (d) 1/2055 c What is the closest to 2 in -23, -1/2, -1.63? -1/2 What is the nearest to -0.1 in -0.035, 10/11, 5, -17, 3/5? -0.035 What is the closest to 2 in -2/33, -91, -1/7, 2? 2 What is the closest to -0.4 in -2, 1/4, 198, -0.4? -0.4 What is the closest to 0.2 in 1258, -0.2, 2, -5/4, -3? -0.2 What is the closest to 0 in -1/4, -6, -270? -1/4 What is the nearest to -0.7 in -12, -63/5, 12/11? 12/11 Which is the closest to -2/9? (a) -1/8 (b) 2/3 (c) 2/13 (d) -64 a What is the nearest to -2/7 in -0.0112, -2, 3, -1/6? -1/6 Which is the closest to -1? (a) 40/9 (b) -2 (c) 1 (d) -0.3 d Which is the closest to -1/2? (a) -5 (b) 22 (c) 5 (d) 1/12 d What is the nearest to 2/17 in 1.09, 4, -3, -2? 1.09 Which is the nearest to -7/4? (a) -0.07 (b) -3 (c) 2/27 (d) -2/15 (e) 0.1 b Which is the closest to -24? (a) -12 (b) 5 (c) -0.4 (d) 0.2 a Which is the nearest to -4? (a) -4/3 (b) -4/5 (c) -1 (d) -5 (e) 4/15 d Which is the closest to -2/3? (a) 7 (b) 3/5 (c) 23 (d) -1 (e) 208 d Which is the closest to -0.4? (a) -1 (b) -119 (c) 38 (d) 5 (e) -2/3 e What is the closest to 42/5 in 0.1, 4, 4.9? 4.9 Which is the closest to -0.1? (a) 5 (b) -3/5 (c) 24/31 (d) -3/8 d Which is the nearest to 0? (a) -2.9 (b) -0.4 (c) -4 (d) 6 b Which is the closest to -1/145? (a) 3 (b) 13 (c) 4 a What is the closest to -5 in 0.3, 5, -192/11? 0.3 Which is the closest to -0.1? (a) 0 (b) 1/45 (c) 1.44 (d) 2/7 a Which is the nearest to 0.1? (a) -2 (b) 3 (c) -10.141 (d) 0.4 d What is the nearest to -10 in 4, 2/5429, 6? 2/5429 Which is the closest to 6? (a) -1 (b) 6.7 (c) -7 b What is the closest to -1/4 in 6, -2.3, 2.1, 2/3, -1/3? -1/3 Which is the nearest to 6? (a) 5 (b) 2/3 (c) -33 (d) 1 a What is the closest to -1 in 3/2, -18, 0, 3, -3? 0 Which is the closest to 2.2? (a) 20 (b) -0.2 (c) -4 (d) -9 (e) 56 b Which is the nearest to 3/14? (a) -8 (b) -0.5 (c) 2 (d) -100/7 b What is the closest to 10.5 in -0.1, 2, -0.4, 3/16, -3/5? 2 Which is the closest to 78? (a) -0.2 (b) -5 (c) -235 a Which is the closest to 179? (a) 2/13 (b) 0 (c) 6/5 (d) 0.4 (e) 0.5 c Which is the nearest to -21? (a) 0.22 (b) -117 (c) 4 a Which is the closest to -18? (a) -20 (b) 7 (c) 0.2 a Which is the closest to -0.1? (a) -4 (b) 28 (c) 2/9 (d) 0 (e) 562 d What is t
{ "pile_set_name": "DM Mathematics" }
d m such that -m**3/5 - 123*m**2/5 + 630*m - 1160 = 0. -145, 2, 20 Suppose -2*f**5/7 - 416*f**4/7 + 1272*f**3/7 + 1244*f**2/7 - 4630*f/7 + 2532/7 = 0. What is f? -211, -2, 1, 3 Suppose 9825*i**2/4 - 127731*i/4 + 39/2 = 0. Calculate i. 2/3275, 13 Factor 4*b**3 + 13428*b**2 + 187080*b - 427904. 4*(b - 2)*(b + 16)*(b + 3343) Factor 5*t**2 - 64025*t. 5*t*(t - 12805) Let -a**3 - 4442*a**2 - 4937280*a - 9856800 = 0. Calculate a. -2220, -2 Factor 76*z**2 - 60296*z + 120288. 4*(z - 2)*(19*z - 15036) Determine p, given that p**4/8 + 169*p**3/8 + 819*p**2/8 - 169*p/8 - 205/2 = 0. -164, -5, -1, 1 Find b, given that -2605*b**3/2 - 7816*b**2 - 23457*b/2 - 9 = 0. -3, -2/2605 Let -3*z**3/5 + 24312*z**2/5 - 49231791*z/5 - 98560854/5 = 0. Calculate z. -2, 4053 Solve 5*x**5 - 120*x**4 - 2435*x**3 + 58670*x**2 + 9660*x - 232760 = 0 for x. -22, -2, 2, 23 What is b in -4*b**5/3 - 188*b**4/3 + 15020*b**3 + 136780*b**2/3 + 704*b/3 - 60784 = 0? -131, -2, 1, 87 Find z such that -5*z**3 - 625*z**2 + 141645*z - 419175 = 0. -243, 3, 115 Factor 2*v**2/9 - 42800*v/9 - 342784/3. 2*(v - 21424)*(v + 24)/9 Suppose 3*a**2 + 25134*a - 706104 = 0. Calculate a. -8406, 28 Let 7*u**5 + 163*u**4 + 1131*u**3 + 1997*u**2 - 2458*u - 840 = 0. Calculate u. -12, -7, -5, -2/7, 1 Suppose -2*n**5 - 56*n**4 - 358*n**3 + 56*n**2 + 360*n = 0. Calculate n. -18, -10, -1, 0, 1 Factor 3*m**3/4 - 3543*m**2/4 + 7077*m/4 - 3537/4. 3*(m - 1179)*(m - 1)**2/4 Solve 4*t**5 - 36278*t**4 + 82283008*t**3 - 123125264*t**2 - 493734464*t + 822286240 = 0 for t. -5/2, 2, 4534 What is c in 4*c**2/9 + 256220*c/9 + 256208/3 = 0? -64052, -3 Let -4*n**4 - 10788*n**3 - 9719892*n**2 - 2944868940*n - 17321622552 = 0. Calculate n. -897, -6 Let 3*a**2 - 924*a - 9540 = 0. Calculate a. -10, 318 Suppose j**3/3 - 44*j**2/3 - 172*j - 432 = 0. Calculate j. -6, -4, 54 Factor 20*n**2 - 7972*n - 3192. 4*(n - 399)*(5*n + 2) Factor 4*c**3 + 3115*c**2 + 628772*c + 8609516. (c + 382)**2*(4*c + 59) Find v, given that -2*v**4/7 + 25400*v**3/7 - 80263100*v**2/7 - 2425065000*v/7 - 18230951250/7 = 0. -15, 6365 Factor r**2/2 + 402*r - 32486. (r - 74)*(r + 878)/2 Solve -v**4/6 + 119*v**3/2 - 10561*v**2/2 - 32041*v/6 = 0. -1, 0, 179 Suppose -18*n**4 + 51*n**3 + 171*n**2 + 117*n + 15 = 0. What is n? -1, -1/6, 5 Determine a, given that -111*a**3/7 + 8088*a**2 + 53661*a/7 - 438 = 0. -1, 2/37, 511 Factor -34*r**3/9 + 195496*r**2/9 - 281008250*r/9 - 33062500/9. -2*(r - 2875)**2*(17*r + 2)/9 Solve -2*p**5 + 36*p**4 + 212*p**3 - 832*p**2 + 894*p - 308 = 0. -7, 1, 22 Determine r, given that -50*r**5/3 + 2882*r**4/3 - 7402*r**3 + 51430*r**2/3 - 27472*r/3 - 5880 = 0. -9/25, 2, 5, 49 Factor -5*d**3 + 115*d**2 + 245*d + 125. -5*(d - 25)*(d + 1)**2 Let 2*d**5 + 86*d**4 - 182*d**3 - 86*d**2 + 180*d = 0. What is d? -45, -1, 0, 1, 2 Factor -9*o**3/4 - 681*o**2 - 68089*o - 2252280. -(o + 120)*(3*o + 274)**2/4 Factor 22743*f**3 + 22755*f**2 - 45474*f - 24. 3*(f - 1)*(f + 2)*(7581*f + 4) Suppose -3*u**4/7 + 597*u**3/7 - 13800*u**2/7 - 1742400*u/7 - 1728000/7 = 0. What is u? -40, -1, 120 Determine c, given that 380*c**5/3 - 2734*c**4/3 + 3166*c**3/3 + 5266*c**2/3 - 398*c - 60 = 0. -1, -2/19, 3/10, 3, 5 Factor 2*w**5 + 420*w**4 - 1700*w**3 + 2560*w**2 - 1710*w + 428. 2*(w - 1)**4*(w + 214) Factor 2*c**3/5 - 216*c**2/5 - 7360*c. 2*c*(c - 200)*(c + 92)/5 Solve -2*u**3/13 + 336*u**2/13 - 310*u/13 - 4008/13 = 0 for u. -3, 4, 167 Factor u**4/3 + 12953*u**3/3 - 25910*u**2/3. u**2*(u - 2)*(u + 12955)/3 Factor -3*h**4/7 + 1359*h**3 - 9212517*h**2/7 + 2480121615*h/7. -3*h*(h - 1363)**2*(h - 445)/7 Let 2*r**3/5 + 330044*r**2/5 + 396042*r + 2970288/5 = 0. Calculate r. -165016, -3 Determine q, given that q**3/2 - 877*q**2/2 - 12204*q = 0. -27, 0, 904 Let 3*w**3/4 - 375*w**2/4 + 2571*w - 4773 = 0. What is w? 2, 37, 86 What is v in -4*v**3 + 254*v**2 - 124*v - 126 = 0? -1/2, 1, 63 Find c, given that -2*c**2/11 + 459600*c/11 - 26404020000/11 = 0. 114900 Factor -3*l**3 + 78504*l**2 - 514435623*l + 11279619714. -3*(l - 13073)**2*(l - 22) Find m, given that 4*m**2/7 + 2088*m/7 + 231680/7 = 0. -362, -160 Factor 2*d**2/3 + 1837*d - 2757. (d + 2757)*(2*d - 3)/3 Find k, given that -5*k**5 + 6435*k**4 + 12910*k**3 - 25770*k**2 - 12905*k + 19335 = 0. -3, -1, 1, 1289 Factor 2*u**3 - 984*u**2 + 7776*u - 15488. 2*(u - 484)*(u - 4)**2 Let -i**5 - 15436*i**4/3 - 6622043*i**3 - 8821960*i**2 - 6615184*i/3 = 0. Calculate i. -2572, -1, -1/3, 0 Let -15*f**4/8 - 48*f**3 - 141*f**2/2 + 36*f = 0. What is f? -24, -2, 0, 2/5 Let 9*o**3/5 - 8292*o**2/5 + 68499*o/5 - 21912/5 = 0. Calculate o. 1/3, 8, 913 Find h, given that 4*h**4 - 178*h**3 - 6294*h**2 + 17338*h + 23450 = 0. -25, -1, 7/2, 67 Factor -2*u**4/7 - 234*u**3/7 + 968*u**2/7. -2*u**2*(u - 4)*(u + 121)/7 Solve n**3/3 + 171310*n**2/3 + 7336950332*n/3 + 14673215432/3 = 0 for n. -85654, -2 Factor 5*r**5 - 1480*r**4 + 140760*r**3 - 5501600*r**2 + 76895440*r. 5*r*(r - 158)*(r - 46)**3 Factor 20*z**3 - 10544*z**2 + 1485392*z - 24774144. 4*(z - 254)**2*(5*z - 96) Factor -21374*i**2/9 + 30874*i - 52/9. -2*(i - 13)*(10687*i - 2)/9 Suppose -5*h**3 - 8420*h**2 - 3493760*h + 43146240 = 0. Calculate h. -848, 12 What is n in n**3 + 23102*n**2 = 0? -23102, 0 Find u such that -2*u**4 + 1135832*u**3 - 2271658*u**2 + 1135828*u = 0. 0, 1, 567914 Solve d**2/4 - 6899*d/4 + 143997/2 = 0 for d. 42, 6857 Find g such that g**3 + 568*g**2 - 1723*g - 5710 = 0. -571, -2, 5 Factor -2*g**3/5 + 138*g**2/5 + 608*g/5 - 1752/5. -2*(g - 73)*(g - 2)*(g + 6)/5 Factor -p**3/5 - 5132*p**2/5 + 4*p/5 + 20528/5. -(p - 2)*(p + 2)*(p + 5132)/5 Factor -1131*f**2 - 548541*f - 2910. -3*(f + 485)*(377*f + 2) Find r such that 3*r**4 + 633*r**3 + 32760*r**2 = 0. -120, -91, 0 Suppose a**2/5 - 302692*a/5 + 22905611716/5 = 0. Calculate a. 151346 Suppose -2*t**4/19 + 1104*t**3/19 + 12314*t**2/19 + 40464*t/19 + 40536/19 = 0. Calculate t. -6, -3, -2, 563 Solve -s**2 + 59*s + 536 = 0. -8, 67 Factor -i**2 - 2296*i + 4596. -(i - 2)*(i + 2298) What is a in 2*a**2 - 1182*a - 9584 = 0? -8, 599 Factor -2*j**4 - 2008*j**3 - 8000*j**2. -2*j**2*(j + 4)*(j + 1000) Factor -2*h**4 + 90*h**3 + 4184*h**2 + 7992*h. -2*h*(h - 74)*(h + 2)*(h + 27) Let 38*s**2/3 - 14482*s/3 + 508 = 0. What is s? 2/19, 381 Determine c, given that -3*c**2/4 + 7209*c/4 - 3603/2 = 0. 1, 2402 Let 5*a**3/6 - 115*a**2/6 + 40*a/3 + 110 = 0. What is a? -2, 3, 22 Factor 2*x**4 + 48*x**3 + 342*x**2 + 648*x. 2*x*(x + 3)*(x + 9)*(x + 12) Factor -3*z**5 + 171*z**4 + 1719*z**3 + 4101*z**2 + 3744*z + 1188. -3*(z - 66)*(z + 1)**3*(z + 6) Factor 14*a**3/3 + 78812*a**2/3 + 110894110*a/3 - 63393800/3. 2*(a + 2815)**2*(7*a - 4)/3 Determine t so that -2*t**3/7 - 103748*t**2/7 + 207502*t/7 - 103752/7 = 0. -51876, 1 Solve -u**5/3 + 1471*u**4/3 + 4424*u**3/3 - 2936*u**2/3 - 17680*u/3 - 11792/3 = 0 for u. -2, -1, 2, 1474 Find l, given that -2*l**3/5 + 86*l**2/5 + 386*l/5 - 94 = 0. -5, 1, 47 Factor 4805*v**3/4 + 966735*v**2/4 + 186975*v/4 + 9045/4. 5*(v + 201)*(31*v + 3)**2/4 Factor -3*z**2 - 36324*z - 362940. -3*(z + 10)*(z + 12098) Factor -z**3/3 + 590*z**2/3 + 20927*z/3 + 60112. -(z - 624)*(z + 17)**2/3 Factor -i**3/3 - 274*i**2 + 19173*i - 322344. -(i - 33)**2*(i + 888)/3 Find n, given that 36*n**3 + 1280*n**2 + 6000*n = 0. -30, -50/9, 0 Factor o**3/2 + 47*o**2 - 2361*o/2 + 3105. (o - 18)*(o - 3)*(o + 115)/2 Let -6*o**5/5 - 9307*o**4/5 - 13270*o**3 + 64863*o**2/5 + 23152*o/5 - 12352/5 = 0. What is o? -1544, -8, -1/2, 1/3, 1 Factor -3*d**3 + 1530*d**2 - 7533*d - 21210. -3*(d - 505)*(d - 7)*(d + 2) Find l, given that -5*l**5 + 8995*l**4 - 89615*l**3 + 295365*l**2 - 322020*l = 0. 0, 3, 4, 1789 Suppose -4*t**5 - 2144*t**4 - 426712*t**3 - 37363488*t**2 - 1214801316*t = 0. What is t? -157, -111, 0 Factor 3*x**3/5 - 603*x**2/5 - 1134*x. 3*x*(x - 210)*(x + 9)/5 Determine c so that 490*c**4/3 + 210*c**3 - 575*c**2/6 - 210*c - 135/2 = 0. -1, -9/14, 1 Determine a, given that 4*a**5 + 424*a**4 + 14344*a**3 + 161808*a**2 + 120852*a - 297432 = 0. -51, -27, -2, 1 Factor 4*s**5 + 116*s**4 + 860*s**3 + 1900*s**2. 4*s**2*(s + 5)**2*(s + 19) Find b, given that -15*b**5/4 - 117*b**4/2 + 1011*b**3/4 + 2817*b**2/2 - 3975*b + 1350 = 0. -18, -5, 2/5, 2, 5 Factor 2*g**3/7 - 288*g**2/7 + 570*g/7 - 284/7. 2*(g - 142)*(g - 1)**2/7 Find y, given that 2*y**3 + 350*y**2 - 17200*y = 0.
{ "pile_set_name": "DM Mathematics" }
0 for j. 147 Solve -79454 = -891*p - 396*p + 9349 for p. 69 Solve 325*t = 519*t + 1268*t - 90644 for t. 62 Solve -314*l - 392320 = 712*l + 2045*l + 1833*l for l. -80 Solve 1287*t + 144*t + 5187*t + 489732 = 0 for t. -74 Solve 12974*h + 77711 = -6111*h - 36799 for h. -6 Solve -565*t + 458*t - 2782 = 0 for t. -26 Solve 1735*j - 83212 = -638 + 28466 for j. 64 Solve 0 = -54*o - 6742667 + 6741965 for o. -13 Solve -29247*l + 29166*l = -810 for l. 10 Solve -284*s = -49*s - 3457 - 7823 for s. 48 Solve -33*h - 141*h + 6912 = -30*h for h. 48 Solve 1464 + 3884 = -170*o - 1799 + 517 for o. -39 Solve -3789 - 25740 = 579*i for i. -51 Solve -140*j + 1275 = -1447 - 918 for j. 26 Solve 28269 = -1143*a - 9817 + 10654 for a. -24 Solve 849 + 421 + 362 = 56*s - 5*s for s. 32 Solve -124065 + 14109 = 833*l for l. -132 Solve 157*x + 7235 = 2578 + 2459 for x. -14 Solve -179898*y - 5875 = -179773*y for y. -47 Solve 20513 = -608*l - 25937 + 2674 for l. -72 Solve -47*j - 433 - 1987 - 353 = 0 for j. -59 Solve 25 - 196 = -32*t + 309 for t. 15 Solve -17786*m - 118462 = -794330 for m. 38 Solve -7781*f - 192717 = 2907*f + 498192 - 49629 for f. -60 Solve 13131 = 1046*i - 3083*i - 109089 for i. -60 Solve 190*v - 6626 = 11*v - 166*v - 761 for v. 17 Solve 25*d = -32*d - 33*d - 87*d + 9381 for d. 53 Solve -2108 + 1476 = -95*i + 16*i for i. 8 Solve -4853*c = 1760*c + 99132 + 178614 for c. -42 Solve 143*a = 16043 - 63978 + 32777 for a. -106 Solve 1958*r - 3628 = -1670 for r. 1 Solve -13281 = 588*t - 30636 - 32037 for t. 84 Solve 1017*o + 326*o = -28203 for o. -21 Solve 371*r + 16359 = 3003 for r. -36 Solve 188*q = 164*q + 360 for q. 15 Solve 24*w = 86*w + 11*w - 876 for w. 12 Solve -60*p - 6120 + 24140 = 205*p for p. 68 Solve -3100 = -1729*s + 1629*s for s. 31 Solve 241*b = 554 + 1133 for b. 7 Solve -48*s - 51*s = 2028 + 1140 for s. -32 Solve -573 - 557 - 1635 = 94*i + 6165 for i. -95 Solve -6*c + c = -77 + 114 + 78 for c. -23 Solve 105743 = 83*i + 110474 for i. -57 Solve -158*l = -23665 + 5541 - 2574 for l. 131 Solve -20340 = -2073*l + 8682 for l. 14 Solve -32970*i = -32204*i + 86558 for i. -113 Solve 7795*i = 6859*i - 9360 for i. -10 Solve 39*x - 2404 = -64 for x. 60 Solve 0 = 46133*n - 46206*n + 6570 for n. 90 Solve -110*t - 4547 + 410 = 43 for t. -38 Solve -3571*m - 17675 = -993*m - 234227 for m. 84 Solve -2129*f + 47916 = -1666*f - 4805*f - 125764 for f. -40 Solve -1677*s - 7957*s - 278778 = -28294 for s. -26 Solve -64155*j = -64405*j + 16500 for j. 66 Solve -8702 - 10543 = -551*f + 25386 for f. 81 Solve -2931 = -121*o + 636*o + 213*o - 11667 for o. 12 Solve 0 = 398*n - 38*n - 2981 + 32501 for n. -82 Solve -1838*m = 3496*m + 2887*m - 945415 for m. 115 Solve 4428 = -144452*z + 145190*z for z. 6 Solve -8923 = 3495*y + 1825 - 263 for y. -3 Solve 265*u = 44*u - 6409 for u. -29 Solve -68*w - 2142 = -116*w - 3*w for w. 42 Solve -305*l + 99 - 1 = -291*l for l. 7 Solve 32196*i = 31281*i + 76860 for i. 84 Solve 4326*n + 310156 = -2723*n for n. -44 Solve 0 = -534*z - 2466 - 6472 - 22034 for z. -58 Solve 0 = -2323*r - 4013 - 633 for r. -2 Solve -7149 = 71*p - 510*p + 15679 for p. 52 Solve 383*d + 14697 = -317*d + 1050*d + 1283*d for d. 9 Solve 7913 = -574*g - 400 + 55381 for g. 82 Solve -719430 = -11332*q + 85142 for q. 71 Solve 6324*m - 520030 = 1954*m for m. 119 Solve 0 = -1386*a + 945*a - 328 - 1436 for a. -4 Solve -116 - 76 = 4*z - 0*z + 84 for z. -69 Solve 0 = -166641*m + 166966*m + 6500 for m. -20 Solve -28*y - 1517 - 455 = -y + 2*y for y. -68 Solve -2450 = 129*k - 779*k + 5320 - 38320 for k. -47 Solve -13*o = -0*o + 48 + 472 for o. -40 Solve -46 + 61 - 355 = -30*v + 380 for v. 24 Solve -23*y - 105 - 1687 = -17*y - 70*y for y. 28 Solve -16*o + 21*o - 56 = -2*o for o. 8 Solve -6060*s + 6196*s + 5304 = 0 for s. -39 Solve 634*u - 131*u - 3864*u - 10083 = 0 for u. -3 Solve -684*m - 484*m - 18243 = 859*m for m. -9 Solve -135748 - 86139 = 3056*n - 10024 + 14281 for n. -74 Solve 75*o - 3302*o + 321195 = 2408*o for o. 57 Solve 523*p = -27136 + 25567 for p. -3 Solve -2389 = 373*m + 9547 for m. -32 Solve 172*o + 6312 + 6443 = -3884 + 3911 for o. -74 Solve 0 = 61*c + 375162 - 371075 for c. -67 Solve -144200 = 3606*z + 43554 + 89908 for z. -77 Solve 3494*t = 1545*t + 87705 for t. 45 Solve 237*o - 8082 = -16614 for o. -36 Solve -5390 = -2724*d - 2633*d + 5511*d for d. -35 Solve 0 = 2635*w - 1771*w - 25056 for w. 29 Solve 0 = 40029*i - 39458*i + 20556 for i. -36 Solve -1863*h + 15062 + 42695 = -7448 for h. 35 Solve 210*c + 81223 = 861*c + 1277*c - 59521 for c. 73 Solve 362*t - 18384 = -21*t for t. 48 Solve -3069 = -8562*c + 8661*c for c. -31 Solve -7636 + 7135 = -873*b + 52687 + 37604 for b. 104 Solve 34864*y + 34863*y + 4920 = 69686*y for y. -120 Solve 3297*v - 35181 = 15515 - 7835 for v. 13 Solve 15*c + 24*c - 61*c - 494 = -35*c for c. 38 Solve -1787*x + 3876 = -1246*x + 1332 - 1784 for x. 8 Solve 6364*v + 6353*v = 12671*v - 973 + 2629 for v. 36 Solve -8470*t - 855114 = -969*t for t. -114 Solve 0*w - 5*w + 1767 = 3*w - 65*w for w. -31 Solve -148*k + 6648 = 10200 for k. -24 Solve 6096 - 1139 = -358*p - 12152 - 791 for p. -50 Solve 286*a - 1504 = -524 + 2082 + 84 for a. 11 Solve -1912008*o = -1912026*o + 2178 for o. 121 Solve -24*x - 26640 = -398*x - 346*x for x. 37 Solve -166*g + 3694 + 668 = -2628 - 314 for g. 44 Solve -955*n = -709*n + 20172 for n. -82 Solve 0 = -282*p - 2913 + 1511 - 5465 + 1227 for p. -20 Solve 975*k + 37665 + 59205 = 1876 + 419 for k. -97 Solve 945*p - 38*p + 3845 + 690 = 0 for p. -5 Solve -2954 + 62 = 243*o + 4884 for o. -32 Solve 18655*u - 1316984 + 240884 = 304370 for u. 74 Solve 1970*p = 146*p + 209*p for p. 0 Solve -229*b - 42578 + 44868 = 0 for b. 10 Solve -95*x - 1874 - 2116 = 0 for x. -42 Solve -38633*j + 39433*j = 60800 for j. 76 Solve -515*z + 1535 = -431*z + 178 - 911 for z. 27 Solve 0 = 132*g - 926537 + 913997 for g. 95 Solve 0 = -2650*q + 64254 + 65596 for q. 49 Solve -141 = 1100146*o - 1100193*o for o. 3 Solve 9144*y = 27451*y - 2032077 for y. 111 Solve 943*z + 7913 - 194 = -14913 for z. -24 Solve -4813 = -233*l + 2567 - 1788 for l. 24 Solve 1959*j = 1855*j - 312 for j. -3 Solve -8253 = -8*d - 1840*d - 28581 for d. -11 Solve -39*y + 2180 + 2186 = 79*y for y. 37 Solve -387 = 163*j + 1094 + 4224 for j. -35 Solve 34940*o - 98550 = 38882*o for o. -25 Solve -14209*z + 294163 = -402078 for z. 49 Solve 7565*i = 7571*i - 474 for i. 79 Solve -4693*r - 362016 = 335*r for r. -72 Solve 0 = 166*c + 7044 + 321 + 1599 for c. -54 Solve 23394 = 1257*y + 180519 for y. -125 Solve 6093*u - 50445 - 100087 = 154118 for u. 50 Solve -6078*c - 6056*c + 12115*c = -323 for c. 17 Solve -1077*p + 22366 + 18370 = 7934 - 5970 for p. 36 Solve -1879 = -190*s + 3200 - 1469 for s. 19 Solve 15738 = -86374*v + 86632*v for v. 61 Solve -4479*z + 58373 - 52661 = -77777 - 95671 for z. 40 Solve -279974 + 261551 = -801*y for y. 23 Solve 142 = -37*a + 31*a - 170 for a. -52 Solve 3097 + 4319 + 41412 + 51230 = 2042*q for q. 49 Solve -2936*m = -3319*m + 6511 for m. 17 Solve 73 + 144 = -20583*x + 20576*x for x. -31 Solve -90*t + 3405 = 165 for t. 36 Solve 321*o = -1739*o + 29433 + 20775 + 67212 for o. 57 Solve 259537 = -8514*v + 167254 - 256791 for v. -41 Solve -81*b = 166*b + 302*b + 3850 + 7679 for b. -21 Solve 316 + 504 = -813*s + 1633 for s. 1 Solve -3370*t = -3908*t - 3172 - 6512 for t. -18 Solve 23*p + 3031 - 209 = 1488 for p. -58 Solve -185*j - 76*j + 501*j + 1200 = 0 for j. -5 Solve 0 = 38*o - 68*o + 295*o - 3445 for o. 13 Solve 237*n = -44939 + 55130 for n. 43 Solve -41*q - 22178 = -477*q - 1250 for q. 48 Solve 3876 = -345*i - 37*i + 3958 + 18636 for i. 49 Solve 0 = -3204*o - 8453 - 23821 - 28602 for o. -19 Solve -77*l = 49*l + 673*l - 2457 - 11126 for l. 17 Solve 9044*u = 40520 + 102314 + 923203 + 73507 for u. 126 Solve 0 = -1545*c + 1760*c - 4730 for c. 22 Solve 25421*j - 25462*j - 1558 = 0 for j. -38 Solve -2671 - 3505 = -94*f + 2378 for f. 91 Solve 0 = 3099*r - 2863*r + 9676 for r. -41 Solve -2851*k - 79269 + 600709 = -14563*k - 579488 for k. -94 Solve 39*g = -1930203 + 1926225 for g. -102 Solve -36233 - 21187 = -1595*s for s. 36 Solve -2371*d = -422*d - 469*d - 68746 - 126614 for d. 132 Solve 4520 = 417*p + 35*p for p. 10 Solve -665 - 2819 = -372*b - 880 for b. 7 Solve 9743*n - 4937*n =
{ "pile_set_name": "DM Mathematics" }
rime? False Is 2072068343 a composite number? False Is 3493151659 composite? False Is 26561920111 composite? False Is 494157137 a prime number? False Is 878781913 composite? True Is 741326237 composite? False Is 12278295989 composite? False Is 3066995461 a composite number? False Is 630912791 a prime number? False Is 13190517881 a prime number? True Is 34800463741 composite? False Is 368770993 a prime number? False Is 141757000697 composite? True Is 5775404395 a composite number? True Is 50184168413 a prime number? False Is 5881624543 composite? False Is 7855642981 a composite number? False Is 211829513 a prime number? False Is 225997823 composite? True Is 2661404557 composite? True Is 5589403541 prime? True Is 344814739 a composite number? False Is 6363534991 prime? False Is 1948221751 a prime number? False Is 936539927 a composite number? False Is 2335675039 prime? True Is 758677981169 prime? True Is 311909469067 a prime number? False Is 6258106642 composite? True Is 803341837 composite? True Is 43889611547 composite? True Is 825092753 prime? True Is 17450927107 a composite number? False Is 10970124215 a prime number? False Is 1352143043 prime? False Is 653069829 a composite number? True Is 1016454311 composite? True Is 2016466853 a composite number? False Is 1708964573 prime? False Is 3885200851 composite? True Is 335910208331 a composite number? True Is 4896124283 composite? True Is 13707210463 composite? True Is 127079717539 prime? True Is 3420145447 a prime number? False Is 22252557073 prime? False Is 368863771 composite? False Is 36647401921 composite? True Is 33811498183 a composite number? False Is 23570723 composite? True Is 2580341149 a prime number? False Is 29907773641 prime? False Is 923141627 a prime number? True Is 128904581321 composite? False Is 14543074853 composite? True Is 4166135177 prime? True Is 2697095419 prime? False Is 1366925709 composite? True Is 837054923 a composite number? False Is 14700958735 prime? False Is 29797121749 a composite number? True Is 2826062501 composite? False Is 1169859443 prime? True Is 24674910697 a prime number? False Is 6326044061 prime? True Is 26852270519 a prime number? False Is 696696211 prime? True Is 311830199 a prime number? True Is 24879865441 a composite number? True Is 199784399 a prime number? True Is 429266501 prime? False Is 67640669737 composite? True Is 92515109 a composite number? False Is 107807971 a prime number? True Is 63794409803 a composite number? False Is 275301517 composite? False Is 1505625161 composite? True Is 49353869 a prime number? True Is 23096059647 a prime number? False Is 44218303549 composite? True Is 87461323591 a prime number? False Is 1887884939 prime? False Is 59029732183 prime? False Is 152908783879 prime? True Is 14313542273 a composite number? False Is 2676220109 a prime number? True Is 124021053745 a prime number? False Is 6454391709 a composite number? True Is 16550432293 a composite number? True Is 11279886139 prime? False Is 12438569861 prime? False Is 36209587 a composite number? True Is 754977823 composite? False Is 257037959 a composite number? False Is 1104358327 composite? False Is 1108682359 composite? False Is 6878616837 composite? True Is 6499361087 composite? True Is 125307318793 a composite number? True Is 2074321021 prime? True Is 121936635907 composite? True Is 58823378573 prime? True Is 27389547173 composite? False Is 1007656259 prime? True Is 716336167 a prime number? True Is 1715554483 a prime number? True Is 277447351 a composite number? False Is 4411888457 composite? True Is 1034162929 a prime number? False Is 611613257 a composite number? False Is 555726433 a composite number? True Is 29665844269 a prime number? True Is 62326231 a composite number? True Is 294209897 a prime number? True Is 11154186647 composite? True Is 648257633 prime? True Is 110239699259 a composite number? True Is 217321427 composite? False Is 369416747 a composite number? True Is 152601013 prime? True Is 68174770877 a prime number? False Is 31811900183 composite? True Is 40719342927 a prime number? False Is 8919629833 a composite number? True Is 13357640039 composite? False Is 98214755719 composite? True Is 1879027307 a prime number? True Is 620498663 a composite number? False Is 126383819 composite? False Is 2957606621 a composite number? False Is 8933612291 a composite number? False Is 6221600827 a composite number? True Is 414981055 prime? False Is 4147257613 a composite number? True Is 76496099 composite? False Is 5638730827 a composite number? False Is 11219993353 a prime number? False Is 29479134449 prime? True Is 2740855219 composite? False Is 2163476027 composite? True Is 4729040203 a prime number? True Is 1263168293 a prime number? False Is 7237405671 a prime number? False Is 2295621637 a composite number? False Is 2941543289 composite? True Is 3141399803 composite? True Is 49250129 prime? False Is 134931682789 a composite number? True Is 46219385 prime? False Is 1330912183 prime? False Is 2619301273 a prime number? True Is 4533114097 prime? False Is 600180211 prime? True Is 51436976561 a prime number? False Is 19619749141 composite? False Is 8274838139 a prime number? True Is 569240887 composite? False Is 862987723 a prime number? False Is 688300889 prime? True Is 9216530233 a prime number? False Is 76704783523 composite? False Is 4367209757 a prime number? False Is 51216157483 composite? False Is 610636469 composite? False Is 23078608997 composite? False Is 140547928637 a composite number? False Is 19400667973 a composite number? False Is 9271308021 a prime number? False Is 529501199 prime? True Is 7823655857 a prime number? True Is 591996443 prime? False Is 673988033 composite? True Is 209812567 prime? True Is 1310833933 a composite number? False Is 3838569121 a composite number? True Is 7268704211 a composite number? False Is 1338469129 prime? False Is 23392251257 a prime number? True Is 16080338747 prime? False Is 7344445547 prime? False Is 26767885229 a prime number? True Is 2331775733 a composite number? True Is 8716603003 prime? True Is 2116263767 composite? False Is 13516127579 composite? False Is 15561492211 a composite number? True Is 345478277 a prime number? False Is 108817421 a prime number? False Is 60252542593 a composite number? False Is 4450415483 a composite number? False Is 1515823535 composite? True Is 7266143009 prime? False Is 2282123329 composite? True Is 12364201331 a composite number? True Is 1911011651 a composite number? True Is 10421504609 prime? True Is 2983575521 a composite number? True Is 2511235307 a composite number? True Is 2501784223 a composite number? False Is 178180617605 a prime number? False Is 32633094653 a prime number? False Is 343205621 a prime number? False Is 42268573114 a prime number? False Is 1121670679 prime? False Is 11269143385 a composite number? True Is 52762077419 a composite number? False Is 21912848527 prime? False Is 557632177 a composite number? False Is 12648076319 prime? True Is 2016033869 prime? True Is 1474917321 a prime number? False Is 129932726311 a composite number? False Is 3859258729 a prime number? False Is 612529511 prime? False Is 15107957729 prime? True Is 49266145459 a prime number? False Is 162143921 a prime number? True Is 9742965497 a composite number? False Is 134636732499 prime? False Is 93255103 a composite number? False Is 2051832129 a prime number? False Is 76204277 prime? False Is 7381536619 composite? True Is 8647061285 prime? False Is 122569753 a prime number? False Is 1359309527 a composite number? False Is 12127628971 a composite number? True Is 83944296167 a composite number? False Is 30153660913 a composite number? True Is 13908334399 prime? True Is 2404796561 a prime number? True Is 313381909 composite? False Is 2230529033 composite? False Is 6701544463 a prime number? True Is 142493509 prime? False Is 2246523893 a composite number? False Is 761861593 composite? False Is 11726116609 composite? False Is 1095215189 a composite number? True Is 5180092387 composite? False Is 4037926397 a composite number? False Is 13570681991 a prime number? True Is 3497640617 composite? False Is 10442320687 composite? False Is 17548668167 composite? False Is 1860376549 co
{ "pile_set_name": "DM Mathematics" }
27977939*j**3*v**2*z**3 + 9*j**3*v**2*z**2 - 2*j**3*z - 9801*j**2*v + 5*j*v**2*z**2 + 2*j*v*z**2 wrt z? -167867634*j**3*v**2 What is the second derivative of -17901231*l**3 - 146122081*l wrt l? -107407386*l Find the second derivative of 13341*m**4 + 9*m**3*t**3 + m**3 + 87*m*t**3 - 2*m - 1439*t**3 wrt m. 160092*m**2 + 54*m*t**3 + 6*m Find the third derivative of -34504539*b**4 - 2*b**3 - 142927724*b**2. -828108936*b - 12 What is the first derivative of -2*r**2 - 107464571*r - 25371967 wrt r? -4*r - 107464571 Find the third derivative of -3803*s**4 - 11059*s**3 - 100654752*s**2. -91272*s - 66354 Differentiate -19111555*g + 16213349 wrt g. -19111555 Differentiate 16*f**3 - 321953*f**2*j**3 - j**3 + 17*j**2 + 799*j - 19 with respect to f. 48*f**2 - 643906*f*j**3 Differentiate -452*k**3 - 8548*k**2 - k - 33341265. -1356*k**2 - 17096*k - 1 Find the second derivative of -85*f**3*y + f**3 + 337*f**2*y + 49*f**2 + 64*f*y - 3*f + 487631 wrt f. -510*f*y + 6*f + 674*y + 98 Find the second derivative of 156*o*t**3 - 8*o*t**2 + 15079422*o*t + t**3 - 48*t**2 wrt t. 936*o*t - 16*o + 6*t - 96 What is the first derivative of -30*s**3 + 148823*s + 14165786? -90*s**2 + 148823 Find the first derivative of -362730*o - 6831830 wrt o. -362730 What is the second derivative of 16384658*v**2 - 50180223*v wrt v? 32769316 Find the second derivative of 2*f*m*t**2 + 3267*f*m + 38*f*t**2 + 5788*f + 891536*m*t**2 + m + t wrt t. 4*f*m + 76*f + 1783072*m Find the third derivative of 8511159*q**3*w**3 + 2*q**3*w**2 + 56*q**3*w + 2*q**3 - 4*q**2 + 4*q - 486*w**2 wrt w. 51066954*q**3 What is the third derivative of 26020*r**2*y**3 + 157*r**2*y**2 - 183*r*y**3 - 126*r*y - 34*y**2 wrt y? 156120*r**2 - 1098*r What is the first derivative of 212392554*h**3*y**2 - 2*h**3 + 1204013979*y**2 wrt h? 637177662*h**2*y**2 - 6*h**2 Find the third derivative of 4*t**5 + 3516252*t**4*y**3 - 75*t**2*y**2 - 9*t**2*y + 2*t*y**3 + 3*y**2 wrt t. 240*t**2 + 84390048*t*y**3 Find the second derivative of -57662939*g**2 - 303*g - 87734 wrt g. -115325878 Find the first derivative of 7*i**4 - 31786*i**3 + 3*i - 447265846. 28*i**3 - 95358*i**2 + 3 Find the third derivative of 18445797*p**3 + 4541*p**2 + 3*p + 85. 110674782 What is the derivative of -643*k**3 + 5*k**2 + 7919*k + 42123172? -1929*k**2 + 10*k + 7919 What is the first derivative of -388476819*p + 189187896 wrt p? -388476819 Differentiate 223140338*l**2*o - 875355309*l**2 wrt o. 223140338*l**2 What is the third derivative of 2618*x**4 + 6892*x**3 + 67084887*x**2 wrt x? 62832*x + 41352 Find the first derivative of -2424579*q**2 - 1987035. -4849158*q Find the second derivative of 62*s**4 + 556*s**3 + 27*s**2 - 73579*s + 78 wrt s. 744*s**2 + 3336*s + 54 What is the first derivative of -50549830*r**2*x - 333*r**2 - 72330*r wrt x? -50549830*r**2 What is the second derivative of 933686993*q**2 - 30217*q + 4882? 1867373986 Find the third derivative of -1387093896*l**4 + l**2 + 21018692*l. -33290253504*l Find the third derivative of 17296013*d**3 + 26209183*d**2. 103776078 What is the first derivative of 749663998*v - 237936581? 749663998 What is the third derivative of -5347794*x**3 - 13305300*x**2 wrt x? -32086764 What is the derivative of -163435799*s**3 + 472334597 wrt s? -490307397*s**2 Find the first derivative of 4*q**4*u**2 + 4712651*q**3 - 20404*u**2 + 234 wrt q. 16*q**3*u**2 + 14137953*q**2 Find the third derivative of -499*r**6 + 2195*r**5 + 5*r**3 - 2*r**2 + 26758*r - 261. -59880*r**3 + 131700*r**2 + 30 Find the second derivative of 18925622*c**2 + 21083225*c. 37851244 What is the third derivative of -61184*j**6*o + 1830*j**5 - 341*j**2*o - j**2 - 5*j*o - 3*j - 4*o + 2 wrt j? -7342080*j**3*o + 109800*j**2 Differentiate 743*z**2 - 6166*z - 7756000 wrt z. 1486*z - 6166 What is the second derivative of 15475685*c**4 - 5*c - 4754? 185708220*c**2 What is the third derivative of -119*f**3*r + 55074*f**3 - 263*f**2*r - f**2 + 5731*r wrt f? -714*r + 330444 What is the derivative of -357616*u**3 - 14*u + 32782594 wrt u? -1072848*u**2 - 14 What is the first derivative of 36*p**4 - 2*p**3 + 2407*p - 5676844? 144*p**3 - 6*p**2 + 2407 What is the third derivative of -72270662*k*u**3 - k*u**2 + 3*k*u - k - 35920*u**2 + u + 4 wrt u? -433623972*k What is the third derivative of 6371272*r**4 + r**2 + 2174*r - 346? 152910528*r Differentiate -12*m**4 - 4721218*m**2 - 976495580 with respect to m. -48*m**3 - 9442436*m Find the third derivative of 30*x**5 - 1962*x**4 + 6*x**3 + 51089220*x**2 wrt x. 1800*x**2 - 47088*x + 36 Differentiate 7*o**4 - 278394*o**2 + 10557059 wrt o. 28*o**3 - 556788*o Differentiate 59816298*m**2*p - 75593460*m**2 with respect to p. 59816298*m**2 Find the third derivative of -48293*a**6 + 126*a**3 + 6067583*a**2. -5795160*a**3 + 756 Find the third derivative of -81654175*k**4 - 15500365*k**2 wrt k. -1959700200*k Find the third derivative of -480299302*f**3 + 15*f**2 - 2974*f + 1143. -2881795812 Find the second derivative of -20226*h**5 + 12981*h**4 + 372176275*h. -404520*h**3 + 155772*h**2 What is the second derivative of -s**4 - 4300775*s**2 - 15942617*s wrt s? -12*s**2 - 8601550 Differentiate 295405403*r**2 - 257700715. 590810806*r What is the second derivative of 474966312*i**2 + 26665856*i + 3? 949932624 Find the second derivative of -346*o**2*s**2 + 2*o**2*s - o**2 + 7*o*s**3 - 1108*o*s**2 - 3102655*o*s wrt s. -692*o**2 + 42*o*s - 2216*o What is the first derivative of -1314*b*d**3 - 50337*b + 74*d**3 - 2823*d**2 + 52 wrt b? -1314*d**3 - 50337 Find the third derivative of -f*z**4 - 370*f*z**3 - 2*f*z**2 - 5*f*z - 40248*f - 4*z**4 - 102*z**3 + 2*z**2 - 6*z wrt z. -24*f*z - 2220*f - 96*z - 612 Find the second derivative of 255315157*q**5 - 319376538*q. 5106303140*q**3 What is the second derivative of 5*f**5 - 194166*f**2 + 5073033*f wrt f? 100*f**3 - 388332 What is the second derivative of -1185625249*j**3*q**2 + 169901*j**3*q - 1221*q wrt q? -2371250498*j**3 What is the third derivative of g**3*t*y - 34268160*g**3*t - 7999*g**2*t*y - 107*g**2*t + 2*t*y - 2*y wrt g? 6*t*y - 205608960*t Find the second derivative of -59156*g*o**2 - 367357*g*o - 1621*o**3 - 80*o wrt o. -118312*g - 9726*o What is the third derivative of 192216988*f**6 + 11272*f**2 + 78*f + 30 wrt f? 23066038560*f**3 What is the derivative of 115*c*d*w**3 - 2*c*w**3 + 2*c*w**2 - c + 21488*d*w**2 + 217*w**3 + 59*w**2 + 588*w wrt d? 115*c*w**3 + 21488*w**2 What is the third derivative of 9602398*l**4 - 142706202*l**2? 230457552*l What is the third derivative of 4390864*s**4 - 2*s**3 - 37*s**2 - 54*s + 2416 wrt s? 105380736*s - 12 What is the second derivative of -j**3*z - 3250*j**3 - 2*j**2*z + 28*j**2 - 50797984*j*z wrt j? -6*j*z - 19500*j - 4*z + 56 Find the third derivative of 56427*o**5 - 2420*o**4 - o**2 - 113753 wrt o. 3385620*o**2 - 58080*o Find the second derivative of 159754418*r**2 - 145551685*r + 2 wrt r. 319508836 Find the second derivative of -15164028*l**2 + 225*l - 19849. -30328056 Find the first derivative of 48*m**3*x**3 + 4993*m**3 + 270*x**3 - 7*x**2 + 151*x wrt m. 144*m**2*x**3 + 14979*m**2 Find the second derivative of 51453464*t**2 - 28905816*t wrt t. 102906928 What is the first derivative of -13567377*v*x - v + 2972384 wrt x? -13567377*v Differentiate 20802*c**2*g - 1630*c*g - 80033711*g with respect to c. 41604*c*g - 1630*g Differentiate 3349*k**3*r - 324*k**3 + 2*k*r - 1193247*r with respect to k. 10047*k**2*r - 972*k**2 + 2*r What is the second derivative of -81211996*d**2 - 393979286*d? -162423992 Find the first derivative of -3230*c**3*m - 8964933*c**3 + 30*c**2*m - 2*c*m + 2*m wrt m. -3230*c**3 + 30*c**2 - 2*c + 2 What is the first derivative of 117*c*w**4 - 39651*c*w**2 - 3472660*c - 14 wrt w? 468*c*w**3 - 79302*c*w Find the third derivative of -143*g**4 - 242106*g**3 - 7010118*g**2 - 18*g. -3432*g - 1452636 Differentiate 5387811*n - 106904459 wrt n. 5387811 What is the second derivative of -1376908*o**2 - 25077843*o wrt o? -2753816 Differentiate -2838976*r - 1892735 with respect to r. -2838976 Find the third derivative of -32121925*t**3 - 20412*t**2 - 2*t - 182. -192731550 Find the second derivative of 61064440*w**2 + 6*w - 12646572 wrt w. 122128880 What is the second derivative of 2*b*q**2*z - 35*b*q**2 + 3014*b*q*z + b*z - 2*b + 8263*q**
{ "pile_set_name": "DM Mathematics" }
v) = v + 1. Let b(i) = m(i) - n(i). Does 3 divide b(a)? True Let u = 5 - -58. Is u a multiple of 6? False Suppose -4*v + 3*h = 2*h - 117, 5*h + 165 = 5*v. Let a = 66 - v. Is 9 a factor of a? False Let h be 8/6 + 2/3. Suppose -p - 20 = -z, 10 = -z - h*p + 39. Suppose 0 = 2*m - 4*u + 3*u - 37, 3*m + 5*u = z. Is 8 a factor of m? True Let p be ((0 + 2)*-1)/(-1). Suppose 1 - 18 = y - 5*f, -p*y - f = -10. Suppose y*c = 5*c - 18. Is c a multiple of 9? True Suppose -2*u = 2*u + 3*z - 604, u + 2*z - 156 = 0. Is 18 a factor of u? False Let j be 8/(-28) + (-5)/7. Let r = -2 - j. Does 7 divide r + -2 + 1 + 17? False Let i(b) = b**3 - 3*b**2 - 6*b + 4. Let v(z) = z**2. Let q(x) = i(x) - 2*v(x). Let t be q(6). Suppose u = 4*p + 45, 3*u + t*p - 2*p - 135 = 0. Does 23 divide u? False Let r = 42 + -4. Is 14 a factor of r? False Let n(z) be the third derivative of -z**6/120 + z**5/10 + z**4/3 + z**3/6 + 2*z**2. Let l be n(7). Suppose 0 = -x + l - 1. Does 7 divide x? True Does 21 divide (-4 - 32/(-6))*93? False Suppose -d - 7 = -2*z, -4*z = 3*d - 2*z + 37. Let m = d - -32. Is (m/(-14))/((-1)/16) a multiple of 12? True Let a = -11 - -61. Is 10 a factor of a? True Suppose 7*d + 5*x = 3*d - 103, 3*d + 3*x + 75 = 0. Let f = d - -41. Is 7 a factor of f? False Let g(j) = -197*j**3 - j**2 - j - 2. Is g(-1) a multiple of 39? True Let k be (-3 - (-5)/2)*-14. Let j = -8 + k. Is 25 a factor of (3 + -2)*49 - j? True Is ((-682)/4)/(8/(-16)) a multiple of 26? False Suppose 4*y - 4*u = -u + 6, 5*u = -4*y - 10. Suppose y = -2*n + 5*n - 48. Suppose -3*r = r - n. Does 4 divide r? True Let h = -13 - -17. Suppose h*t + 16 = 0, -w + 4*t + 36 = -0*w. Does 12 divide w? False Suppose 0 = -2*l - 4*a + 26, 10*l + 2*a - 28 = 6*l. Let o(k) = -k + 86. Let n be o(0). Suppose 9 + n = l*f. Is 19 a factor of f? True Is 106 + ((-42)/(-28))/(6/8) a multiple of 7? False Let p = 19 + -33. Let g = p - -28. Does 14 divide g? True Let r(i) = -i**3 + 4*i**2 + 4*i - 1. Suppose -4 + 0 = -u. Does 8 divide r(u)? False Let x = -9 + 67. Does 29 divide x? True Let o(z) = z + 11. Let m be o(0). Suppose -5*b + m = -9. Suppose -5*h - 63 = -6*h - b*p, -2*p - 205 = -5*h. Is 14 a factor of h? False Let g(r) = 5*r + 1. Let p(l) = -l - 1. Let b(o) = -g(o) - 6*p(o). Let i be b(-6). Is (-1)/((2/18)/i) a multiple of 8? False Suppose f - 16 - 1 = 0. Is 4 a factor of f? False Let s = -6 - -6. Let h = 0 + 36. Suppose w = -2*f + h, s = -4*f + w - 4*w + 72. Does 8 divide f? False Suppose 26*t - 149 = 25*t. Is 31 a factor of t? False Suppose 8*q - 56 = 4*q. Does 14 divide q? True Does 12 divide 1280/28 - 4/(-14)? False Let p(x) = 2*x + 13. Let u(z) = 3*z + 20. Let v(q) = 7*p(q) - 5*u(q). Let c be v(-10). Let d(k) = 12*k**3 - k**2 + k - 1. Is d(c) a multiple of 3? False Is 13 a factor of (-200)/(-6) - 2/6? False Suppose -4*f + 720 = 6*f. Does 4 divide f? True Suppose -1 = 2*l + 3, 4*p + 2*l - 16 = 0. Suppose -p*a = -2*a - 60. Is a a multiple of 5? True Is 16 a factor of 3688/10 + (4 - (-38)/(-10))? False Let g(v) be the second derivative of 1/6*v**3 - 3*v + 0 + 5/2*v**2. Is 5 a factor of g(0)? True Suppose 3*r = -73 - 29. Let c = 110 - 47. Let i = c + r. Is i a multiple of 12? False Suppose -a = a - 8, -k = -5*a - 61. Is k a multiple of 3? True Suppose -o = -2 - 10. Is 3 a factor of o? True Let u(q) = -6*q + 2. Let b(i) = i**3 + 5*i**2 - 6*i - 6. Let d be b(-6). Is u(d) a multiple of 10? False Let l be -4 - (-139 - 1) - -2. Suppose -l - 27 = -5*r. Is r a multiple of 7? False Suppose -2*g - 3 + 7 = 0. Suppose -3*v - 34 = -3*f - 5*v, -f = g*v - 10. Does 15 divide (16/6)/(f/198)? False Suppose 2*q + 1 = 3*n + 88, 5*q - 4*n = 214. Suppose 12 - q = -j. Is 10 a factor of j? True Let m = 13 - 8. Suppose -5*i + 235 = 5*r, -4*i + 3 = m*r - 233. Suppose -2*t - 2*t = -r. Is t a multiple of 6? True Let s be 3/(-1) - (-2)/(-2). Let w be s/14 + (-74)/(-14). Suppose w*m = 3*n - 116, 78 = -2*n + 4*n - 3*m. Is n a multiple of 14? True Let k(l) = 9*l**2 + 2*l - 7. Does 34 divide k(-3)? True Suppose -3*o = u - 66, o - 5*o - u + 89 = 0. Let p = -25 + 35. Let f = o - p. Is 13 a factor of f? True Let v = -22 - -29. Is 3 a factor of v? False Does 11 divide ((-5)/25 + 51/(-20))*-4? True Suppose f - 4*f + 15 = 0. Suppose 3 + f = 4*t. Suppose -m = -t*j + 21, j - m = -7 + 17. Is 3 a factor of j? False Suppose 4*v - 171 = 3*o + 108, 0 = 5*v - 3*o - 351. Is 24 a factor of v? True Suppose 24 + 21 = t. Suppose -3*v - 5*j + 26 = -t, -69 = -3*v - 3*j. Is 4/v + (-916)/(-44) a multiple of 12? False Let z = 94 + -48. Suppose -5*a + 5*t = -z - 64, 3*a - 50 = -t. Is 5 a factor of a? False Suppose -2*l + 7*l - 500 = 0. Is 26 a factor of l? False Let d be (1 - 129/(-1)) + 2. Suppose 28 + d = 4*v. Suppose -5*z = -165 + v. Is 9 a factor of z? False Suppose -7*t + 2*t - 5*p = -200, -4*p + 43 = t. Suppose -2*n - 5*c = -116 + t, c + 73 = 3*n. Is n a multiple of 7? False Suppose 4*n = n + 6. Suppose 45 = n*d + 5*j + 11, -2*j - 6 = -2*d. Does 5 divide d? False Suppose 5*r = -5*f + 2*f + 37, 3*f - 19 = 4*r. Let s = f + 17. Is 13 a factor of s? True Let j(v) = 6*v**2 + v + 4. Suppose -3*u = -2*l + 11, 2*u = 3*l - 2*u - 15. Let w(x) = -x**2. Let o(a) = l*j(a) + 5*w(a). Is o(0) a multiple of 2? True Let z = 38 - 3. Is 2 a factor of z? False Let v(b) = 6*b**2 + 3*b + 3. Let z(w) = w**3 - 3*w**2 - 6*w - 3. Let p be z(5). Let r be p/(-5) - (-12)/30. Is v(r) a multiple of 13? False Let q(s) = s**2 + 8*s - 5. Let l be q(-9). Suppose -l = -n + 9. Is n a multiple of 8? False Suppose -5*j = -2*j - 3*v - 129, -2*v = -3*j + 130. Suppose c - j = -c. Is 11 a factor of c? True Let l = 8 + 1. Does 3 divide l? True Let i(z) = 17*z - 48. Does 39 divide i(12)? True Let s be 22/10 - 3/15. Suppose -5*o = -s*o. Suppose -64 = -4*q - o*q. Is q a multiple of 8? True Suppose r - 82 = 8. Is r a multiple of 30? True Let h = 16 - 16. Suppose -b + 27 - 6 = h. Is b a multiple of 10? False Is 49 a factor of 49*((-1)/(2/(-10)) + -3)? True Let w = -17 - -42. Suppose -2*c + 91 = -w. Is 17 a factor of c? False Suppose 0 = 2*z + 6*z - 680. Does 5 divide z? True Let c(l) = -84*l. Does 28 divide c(-1)? True Suppose -2*n - 3 + 7 = 0. Suppose 19 = 4*m - 5. Does 13 divide -3*(-26)/m*n? True Suppose 147 = -2*q - q. Let d(b) = 22*b**2 + b - 1. Let i be d(-2). Let w = i + q. Is w a multiple of 17? False Let v(a) = -a**3 - 8*a**2 + 3*a - 1. Let w be v(-8). Let b(c) = 3*c**2 - 3*c + 2. Let m be b(-3). Let i = m + w. Does 12 divide i? False Suppose 0 = -7*p + 5*p + 58. Is p a multiple of 29? True Let h(r) = r**3 - 14*r**2 - 13*r + 14. Is 44 a factor of h(15)? True Let s = 23 - 12. Let q = 15 - s. Suppose 0 = 3*x - q*x + 35. Does 13 divide x? False Let n(l) = l**2 + 13*l - 5. Suppose -4*s = -32 - 8. Let b be n(s). Suppose -6*t + t = -b. Is t a multiple of 18? False Suppose 4*r + 10 = 6*r. Suppose -5*f + 3 + 8 = -3*v, 0 = -f + v + 1. Suppose r*m - f*m = 10. Is 6 a factor of m? False Let l(d) = 9*d**2. Is 2 a factor of l(-1)? False Let n be (-3)/(-9)*(2 + -2). Suppose n = -3*a - 3*m + 48, 3*m + 74 - 31 = 4*a. Suppose -v - a = -43. Is v a multiple of 15? True Let g = -168 + 384. Does 9 divide g? True Let a = 14 - 1. Is 13 a factor of a? True Let a(q) = -2*q + 3. Let x = -1 + -3. Is 5 a factor of a(x)? False Suppose -5*k = -182 - 83. Is k a multiple of 16? False Let f(c) be the third derivative of c**6/10 + c**5/60 + c**4/24 + c**3/3 + c**2. Let x(u) be the first derivative of f(u). Is 18 a factor of x(-1)? False Does 5 divide 6*(-14)/(-3) - 0? False Suppose 3*t - 6 = t. Suppose 30 = t*y - 2*y. Does 15 divide y? True Let s(c) = -2*c**3 - 2*c**2 + 2*c + 2. Let p be s(-2). Suppose 2*j = p, -41 - 28 = -4*n + j. Is 10 a factor of n? False Let y(c) = -c**2 + 11*c - 13. Let w be y(9). Let a(k) = k - 3. Is 2 a factor of a(w)? True Let h = -19 - -35. Is 8 a factor of h? True Let t(v) = 10*v. Is t(1) a multiple of 2? True Suppose 5 = -3*n - 2*n. Let h(w) = 7*w**2 + w. Is h(n) a multiple of 6? True Suppose 2*g + 3*s = 8*s + 22, 55 = 5*g + s. Is 6 a factor of g? False Suppose 5*w - 5 = 30. Is 7 a factor of w? True Let f be (-4)/(-3)*3/(-2). Let z = 3 - f. Let g = -3 + z. Does 2 divide g? True Let l = 20 + -16. Suppose -l*f + 59 = 15. Is f a multiple of 4? False Suppose 5*y + 5*n - 70 = 0, 2*n = 5*y - 3*n - 60. Is y a multiple of 5?
{ "pile_set_name": "DM Mathematics" }
rm of -584, -1166, -1748? -582*y - 2 What is the k'th term of -25, -22, -19, -16? 3*k - 28 What is the q'th term of 76, 71, 54, 19, -40, -129? -q**3 + 2*q + 75 What is the u'th term of 213, 241, 287, 351, 433, 533, 651? 9*u**2 + u + 203 What is the f'th term of -7369, -14756, -22153, -29566, -37001, -44464, -51961? -f**3 + f**2 - 7383*f + 14 What is the j'th term of 316, 340, 364, 388, 412? 24*j + 292 What is the x'th term of 1011, 1015, 1021, 1029? x**2 + x + 1009 What is the z'th term of -19, -68, -151, -268, -419, -604, -823? -17*z**2 + 2*z - 4 What is the q'th term of -1, -41, -107, -199, -317, -461? -13*q**2 - q + 13 What is the r'th term of -139849, -139848, -139847, -139846? r - 139850 What is the q'th term of -24, -176, -600, -1434, -2816, -4884, -7776, -11630? -23*q**3 + 2*q**2 + 3*q - 6 What is the m'th term of -43, -73, -87, -73, -19? 2*m**3 - 4*m**2 - 32*m - 9 What is the v'th term of 163, 162, 161, 160, 159? -v + 164 What is the y'th term of -130, -212, -296, -382? -y**2 - 79*y - 50 What is the a'th term of 16071, 16069, 16067? -2*a + 16073 What is the l'th term of 293, 294, 295, 296, 297, 298? l + 292 What is the a'th term of 77, 121, 239, 467, 841? 6*a**3 + a**2 - a + 71 What is the d'th term of 138, 139, 140? d + 137 What is the m'th term of 4933, 9866, 14799? 4933*m What is the i'th term of -1762, -7065, -15912, -28309, -44262, -63777, -86860? -i**3 - 1766*i**2 + 2*i + 3 What is the g'th term of -19, -11, 3, 23? 3*g**2 - g - 21 What is the a'th term of -84, -163, -240, -315, -388, -459, -528? a**2 - 82*a - 3 What is the b'th term of -38, -19, 14, 61, 122, 197? 7*b**2 - 2*b - 43 What is the o'th term of 159, 157, 151, 141, 127, 109, 87? -2*o**2 + 4*o + 157 What is the t'th term of 3, -5, -13, -21, -29? -8*t + 11 What is the f'th term of 15, 70, 169, 318, 523, 790, 1125? f**3 + 16*f**2 - 2 What is the v'th term of 98, 55, -18, -121? -15*v**2 + 2*v + 111 What is the q'th term of -381, -753, -1125, -1497, -1869? -372*q - 9 What is the y'th term of -33, -72, -121, -180, -249, -328? -5*y**2 - 24*y - 4 What is the n'th term of -200, -418, -636, -854, -1072? -218*n + 18 What is the x'th term of -1848, -7383, -16608, -29523, -46128? -1845*x**2 - 3 What is the v'th term of -42, -42, -32, -6, 42? v**3 - v**2 - 4*v - 38 What is the r'th term of 2, 5, 8, 11? 3*r - 1 What is the k'th term of -1445, -1448, -1451, -1454? -3*k - 1442 What is the m'th term of 5251, 5250, 5249, 5248, 5247? -m + 5252 What is the h'th term of 0, -13, -46, -99? -10*h**2 + 17*h - 7 What is the i'th term of 33, 59, 75, 75, 53, 3, -81, -205? -i**3 + i**2 + 30*i + 3 What is the o'th term of -13, -43, -93, -163, -253? -10*o**2 - 3 What is the f'th term of -44, -54, -64? -10*f - 34 What is the p'th term of 7, 52, 135, 262, 439, 672? p**3 + 13*p**2 - p - 6 What is the m'th term of -1827, -3652, -5477, -7302? -1825*m - 2 What is the p'th term of 1, 41, 143, 337, 653, 1121, 1771, 2633? 5*p**3 + p**2 + 2*p - 7 What is the l'th term of 78, 154, 230, 306, 382, 458? 76*l + 2 What is the c'th term of 775, 1716, 2655, 3592? -c**2 + 944*c - 168 What is the l'th term of -48, -129, -284, -549, -960, -1553, -2364? -6*l**3 - l**2 - 36*l - 5 What is the u'th term of -497, -496, -495? u - 498 What is the h'th term of -1051, -1050, -1049? h - 1052 What is the z'th term of 4500, 8996, 13480, 17946, 22388, 26800? -z**3 + 4503*z - 2 What is the v'th term of 129, 122, 105, 72, 17, -66? -v**3 + v**2 - 3*v + 132 What is the u'th term of -457, -455, -455, -457, -461, -467? -u**2 + 5*u - 461 What is the c'th term of -4, -18, -42, -76? -5*c**2 + c What is the o'th term of 0, 9, 32, 69, 120? 7*o**2 - 12*o + 5 What is the s'th term of 1, 18, 53, 112, 201, 326, 493? s**3 + 3*s**2 + s - 4 What is the f'th term of 1373, 1380, 1385, 1388, 1389, 1388, 1385? -f**2 + 10*f + 1364 What is the g'th term of -85, -147, -183, -181, -129, -15, 173, 447? 2*g**3 + g**2 - 79*g - 9 What is the h'th term of 337, 657, 977? 320*h + 17 What is the r'th term of -9, -63, -159, -303, -501? -r**3 - 15*r**2 - 2*r + 9 What is the d'th term of 1329, 1294, 1229, 1128, 985, 794, 549? -d**3 - 9*d**2 - d + 1340 What is the u'th term of -379, -751, -1123, -1495, -1867? -372*u - 7 What is the z'th term of 50, 99, 148, 197? 49*z + 1 What is the d'th term of -754, -751, -746, -739, -730, -719? d**2 - 755 What is the s'th term of 65, 61, 59, 59, 61, 65, 71? s**2 - 7*s + 71 What is the p'th term of 7, 24, 39, 52? -p**2 + 20*p - 12 What is the j'th term of 2, 7, 12, 17? 5*j - 3 What is the m'th term of -1204, -1208, -1214, -1222, -1232, -1244? -m**2 - m - 1202 What is the u'th term of -18687, -18683, -18677, -18669, -18659, -18647? u**2 + u - 18689 What is the w'th term of -39, -33, -27? 6*w - 45 What is the m'th term of 45, 88, 131? 43*m + 2 What is the f'th term of 31, 64, 105, 154, 211, 276? 4*f**2 + 21*f + 6 What is the o'th term of -308, -275, -220, -137, -20, 137, 340, 595? o**3 + 5*o**2 + 11*o - 325 What is the d'th term of 279, 283, 287, 291? 4*d + 275 What is the i'th term of -640, -645, -648, -649, -648? i**2 - 8*i - 633 What is the n'th term of -176, -235, -338, -491, -700, -971, -1310, -1723? -n**3 - 16*n**2 - 4*n - 155 What is the x'th term of -55, -64, -69, -64, -43, 0, 71? x**3 - 4*x**2 - 4*x - 48 What is the c'th term of 8393, 8392, 8391, 8390, 8389, 8388? -c + 8394 What is the y'th term of 9, 66, 227, 546, 1077, 1874, 2991, 4482? 9*y**3 - 2*y**2 + 2 What is the x'th term of 44, 87, 142, 215, 312, 439, 602? x**3 + 36*x + 7 What is the x'th term of 2484, 4970, 7460, 9954, 12452, 14954, 17460? 2*x**2 + 2480*x + 2 What is the s'th term of 58, 119, 286, 613, 1154, 1963, 3094, 4601? 9*s**3 - s**2 + s + 49 What is the x'th term of -85, -79, -71, -61, -49? x**2 + 3*x - 89 What is the g'th term of 839, 1679, 2519? 840*g - 1 What is the y'th term of -1, -18, -73, -184, -369? -3*y**3 - y**2 + 7*y - 4 What is the x'th term of -589, -551, -487, -397, -281? 13*x**2 - x - 601 What is the f'th term of -677, -2692, -6045, -10730, -16741, -24072? f**3 - 675*f**2 + 3*f - 6 What is the p'th term of 19, 132, 329, 616, 999, 1484? p**3 + 36*p**2 - 2*p - 16 What is the m'th term of -2512, -2519, -2512, -2485, -2432, -2347, -2224, -2057? m**3 + m**2 - 17*m - 2497 What is the k'th term of -17, -24, -17, 10, 63, 148, 271, 438? k**3 + k**2 - 17*k - 2 What is the f'th term of 251, 252, 243, 218, 171, 96? -f**3 + f**2 + 5*f + 246 What is the g'th term of -14, -18, -24, -32, -42, -54, -68? -g**2 - g - 12 What is the r'th term of 42, 41, 40, 39? -r + 43 What is the k'th term of 30, 56, 68, 60, 26, -40, -144? -k**3 - k**2 + 36*k - 4 What is the t'th term of -13, -49, -111, -199? -13*t**2 + 3*t - 3 What is the d'th term of 179, 356, 533, 710, 887, 1064? 177*d + 2 What is the d'th term of 92, 863, 2956, 7031, 13748? 110*d**3 + d**2 - 2*d - 17 What is the h'th term of -35, -6, 39, 100? 8*h**2 + 5*h - 48 What is the y'th term of -15, -10, 9, 48, 113? y**3 + y**2 - 5*y - 12 What is the j'th term of 262, 254, 238, 214, 182, 142, 94? -4*j**2 + 4*j + 262 What is the u'th term of -47, -98, -185, -308? -18*u**2 + 3*u - 32 What is the a'th term of -588, -2361, -5308, -9423, -14700, -21133, -28716? a**3 - 593*a**2 - a + 5 What is the y'th term of -215, -209, -177, -101, 37, 255, 571, 1003? 3*y**3 - 5*y**2 - 213 What is the y'th term of -3282, -3284, -3286, -3288? -2*y - 3280 What is the i'th term of -619, -620, -621, -622, -623, -624? -i - 618 What is the c'th term of 19, 54, 159, 370, 723? 6*c**3 - c**2 - 4*c + 18 What is the u'th term of 11, -17, -45? -28*u + 39 What is the j'th term of -590, -594, -600, -608? -j**2 - j - 588 What is the y'th term of 37, 101, 165, 229? 64*y - 27 What is the m'th term of 154, 158, 162, 166, 170? 4*m + 150 What is the z'th term of 23, 63, 133, 239, 387, 583, 833? z**3 + 9*z**2 + 6*z + 7 What is the y'th term of -7, -18, -35, -58, -87? -3*y**2 - 2*y - 2 What is the r'th term of 106, 203, 292, 373, 446, 511? -4*r**2 + 109*r + 1 What is the w'th term of -149, -104, 15, 244, 619, 1176, 1951? 6*w**3 + w**2 - 156 What is the a'th term of 1, 49, 171, 403, 781, 1341, 2119? 6*a**3 + a**2 + 3*a - 9 What is the b'th term of -22, -71, -150, -259, -398, -567, -766? -15*b**2 - 4*b - 3 What is the h'th term of -425, -850, -1275, -1700, -2125
{ "pile_set_name": "DM Mathematics" }
Let g be ((-21)/(-6))/(o/(-4)). Let n be j(g). Solve 5*k + n = -3 for k. -1 Let c be ((-5)/2)/((-2)/4). Suppose w = c*w. Solve 0 = -j - w*j - 4 for j. -4 Let b(x) = -x - 3. Suppose p = -0*c + c + 1, 5*p = 3*c + 7. Suppose -6*g - 16 = -2*g + p*f, 4*g = f - 22. Let d be b(g). Solve 0 = -2*j + d + 6 for j. 4 Let n = 37 - 15. Let r = -31 - -16. Let d = n + r. Solve 2*q - 3 - d = 0 for q. 5 Let g(s) be the first derivative of -s**3/6 - 3*s**2/2 - 2*s - 2. Let u(d) be the first derivative of g(d). Let t be u(-3). Solve t*j = -4*j - 16 for j. -4 Suppose -p + 0 + 13 = 0. Solve p + 12 = 5*r for r. 5 Let x(l) = -l**3 + 6*l**2 - 5*l. Suppose 3*b - 18 = -3*g, -b + g + 4 = -0*g. Let z be x(b). Solve 0 = -z*p - 3*p for p. 0 Let n(f) = 2*f - 6. Let z be n(4). Suppose s = -0 + z. Solve 2*b - b = s for b. 2 Suppose -5*x - 2*x = -6*x. Solve -2*v - 4 - 2 = x for v. -3 Let x(l) = -3*l - 3. Let s be x(-2). Suppose -2*p + 3 = -s. Solve -p*f - f = 20 for f. -5 Suppose 112*z - 116*z + 8 = 0. Solve k - 1 = z*k for k. -1 Let t(h) = -h**3 + 13*h**2 - 11*h - 7. Let o be t(12). Let j = o - -3. Solve 0 = 3*a + 2 - j for a. 2 Let g = -4 + 6. Let q(u) = -2*u**2 - u - 3 + 14 - 6*u**2 + u**3. Let s be q(8). Solve -s*y - g = 4 for y. -2 Let p(x) = 6*x - 10*x - 5 - 6*x. Let a be p(-2). Solve -3*d - 2*d + a = 0 for d. 3 Let o be (0 + (-2 - -2))*1. Suppose 0 = -3*d + s - 77, o = 3*d + 2*s + 2*s + 82. Let z be (-2)/(-3) + d/(-6). Solve -t = -z*t - 8 for t. -2 Suppose 27 = 2*o + 3*p, 4*p + 35 - 2 = 5*o. Let z = 9 - o. Solve c - 2 = -z for c. 2 Let t = 7 + 1. Let j = t + -2. Let f(o) = -o**3 + 6*o**2 - o + 6. Let h be f(j). Solve h = -2*k + 2 + 2 for k. 2 Let m(b) = 3 - 5 - 3 + 3 + 4*b. Let a be m(2). Let v be a + -3*(-2)/6. Solve 0 = -5*k - 3 - v for k. -2 Let w(m) = m - 5*m - 3 + 9*m - 1 + m**2. Let s be w(-6). Solve 0*h - s*h = -8 for h. 4 Let z = 7 - 4. Let v(p) = 16*p - 6 - 14*p + 2 + 1. Let o be v(z). Solve -8 = -o*c - 2 for c. 2 Let s = 66 - 64. Solve -2*q = s*q for q. 0 Suppose 0 = -c + 4*i - 18, 3*c - 2*i = 5*c - 14. Solve c*s = 7*s for s. 0 Suppose -2*q - 4 = -0*q, -5*q = 3*a + 19. Let o(i) = -11*i**3 + i**2 - 1. Let g be o(-1). Let f = a + g. Solve -2*n = -0*n - f for n. 4 Let v = -17 - -20. Solve -5*f - 8 = -v for f. -1 Suppose -l + 8 = 3*m, -5*l + 0*m + 8 = -m. Solve -3*i = l*i for i. 0 Let k(n) = 2*n**2 - 4*n + 4. Let o be k(2). Let l(r) = -r**2 + 2*r - 1. Let j be l(1). Solve g + j = -o for g. -4 Let r(b) = b**2 - 8*b - 5. Let v be r(9). Solve v*f + 2 + 2 = 0 for f. -1 Suppose -13*d + 11*d = -4. Solve -d = u - 1 for u. -1 Suppose -2*w + 11 = -1. Solve -w = -0*c + 2*c for c. -3 Suppose -2 - 2 = -4*z. Solve 0 = 4*b - 7 - z for b. 2 Let y be (-1 + (-6)/(-10))*10. Suppose 4*z = 6*z - 2. Let g = z - y. Solve g = -8*o + 3*o for o. -1 Let z(n) = 8*n**3 - 2*n**2 - n + 2. Let k be z(1). Let g = 12 - k. Solve g*b - 20 = b for b. 5 Let t = 39 + -36. Let o be 2/7 + (-2)/7. Solve t = -y - o*y for y. -3 Suppose 0 = 4*z + 4, -6 = 4*v - 3*z - 1. Let l = -13 - v. Let g = 19 + l. Solve 2 = -2*x + g for x. 3 Let p = -12 - -12. Solve -4 = -p*x - 2*x for x. 2 Suppose 21*n = 22*n - 9. Solve -4*b + n = -3 for b. 3 Let w = -92 + 101. Solve w - 1 = -4*h for h. -2 Suppose -2*j - 1 = -3*j. Let c(s) = -s**2 - j - s + 3*s + 2 + s**3. Let r be c(2). Solve -r = 3*z - 0*z for z. -3 Let f(x) = -3*x**3 - x**2 + 3*x - 3. Let p be f(2). Let m = -24 - p. Solve s + m + 0 = 0 for s. -1 Let f be (-35)/10 + 1/2. Let w = 0 - f. Suppose -o - z + 7 = 0, 4*o + 11 = w*o + 5*z. Solve -o = -u - 2 for u. 2 Suppose 12 = z + 3*z. Let k = 30 + -27. Suppose 0 = -3*c + t + z, -k = 4*c - 2*c + t. Solve c = 5*y - 0*y - 5 for y. 1 Let s be (0 - 0)/(0 + 1). Suppose 0 = 6*v - 11*v - 60. Let j be 9/4*(-16)/v. Solve s = -2*h + h + j for h. 3 Let z(d) = -d + 7. Let m be z(5). Solve -m = 5*t - 3*t for t. -1 Suppose -2*z = 3*h - 0*z - 2, 4*h + 5*z = 5. Solve m + 3*m = h for m. 0 Suppose 8*h - 1 - 7 = 0. Solve 2*u + h = 3*u for u. 1 Let a = 5 - 4. Let c = a - 0. Solve -c = y - 5 for y. 4 Suppose 25 = 2*q + 5*f, 3*q - 41 = -5*f + f. Solve -5*u + 2*u = q for u. -5 Let u(n) = -n**3 + 3*n**2 - 4*n + 2. Let z be u(2). Let s be (-5)/((-5)/z) - -4. Solve h + 0*h = s for h. 2 Suppose l - 12 = -3*c, -4*c = l - 4*l - 3. Suppose -c*k - 2 = -4*k. Let z be (-4)/18 - 20/(-9). Solve z*p = -k*p for p. 0 Suppose 5*b - 14 = 2*a, b + 0*a = 5*a + 12. Solve -2*v + b = -v for v. 2 Let p be (-2 + -12)*(-7)/14. Solve 8 = p*w - 3*w for w. 2 Suppose 5*v - 16 = -1. Suppose 0 = -4*c - 3*n + 28, 9 = 5*c + n - 15. Let j = 2 + -2. Solve j = -3*t + c*t + v for t. -3 Let v(d) = -d - 1. Let t(b) = b**3 - 6*b**2 - 14*b + 2. Let w(a) = -t(a) + 6*v(a). Let k be w(7). Let z be (9/(-3) + -1)*k. Solve z*f - 2*f = 10 for f. 5 Let b = -20 - -21. Let l(r) = -5*r - 1. Let n be l(-1). Solve -n = -a + b for a. 5 Suppose -2*o = o + 18. Let a(l) = l**3 + 6*l**2 + 3. Let c be a(o). Solve 3 = 2*f - c for f. 3 Let a(k) = -k**3 - k**2 - 2*k - 1. Let s(d) = 4*d + 5. Let o be s(-4). Let v = o - -8. Let n be a(v). Solve 2 = -5*q - n for q. -5 Let q be -2*4/8 + 1. Solve -3*s = -q*s + 6 for s. -2 Suppose 0 = -o + 3 - 1. Suppose 0 = 2*i + i - 4*q + 4, 4*q = o*i + 8. Solve -i*v - v - 15 = 0 for v. -3 Let h(g) = -2*g + 18. Let r be h(9). Solve r = 4*q + q for q. 0 Let n(j) = 5*j - 7. Let a(t) = 4*t - 7. Let y(q) = 7*a(q) - 6*n(q). Let l be y(-5). Solve 0 = -x - l*x - 4 for x. -1 Let d(l) = 5*l - 21. Let g(m) = m + 1. Let r(t) = -d(t) + 4*g(t). Let u be r(0). Solve -5*o + 0*o + u = 0 for o. 5 Suppose 6 = -b - 2*b. Let y(h) = h**3 + 3*h**2 - 2. Let m be y(b). Solve -t - m*t + 9 = 0 for t. 3 Let j = -5 - -7. Let u be 14/(-3) - (-2)/3. Let m(p) = -4*p - 4. Let b be m(u). Solve b = j*c + 2*c for c. 3 Suppose -5*s + 36 + 59 = 0. Let o = s - 19. Solve o*u + 6 = -2*u for u. -3 Let h be (0 - -1)*6/3. Suppose -w + 3*w = -h. Let y be (1*w)/((-5)/10). Solve -b + y*b - 3 = 0 for b. 3 Let v = -35 - -83. Suppose -4*o + 2*a + 24 = 0, -o - v = -6*o - 2*a. Solve 5*y - o = 7 for y. 3 Let q be (-20)/7*35/(-10). Solve 0 = -4*w + q + 6 for w. 4 Let n be (4/(-8))/((-2)/20). Solve -n*u + 12 = -u for u. 3 Let f = -7 - -4. Let s be ((-1 - f) + 2)/1. Suppose s*u = 3 + 1. Solve 2*x - 3 = u for x. 2 Suppose 8 = -0*g + 4*g. Let o = 4 - -1. Suppose -o*q + 5 = 5*x, -4*q + 2*q = 5*x - 14. Solve -g*u - x + 0 = 0 for u. -2 Suppose -12 = 3*r + 5*k - 34, 5*r = 2*k + 16. Solve -r*u = -6 + 2 for u. 1 Suppose -3*g - 4*h = -0 - 40, -4*h + 56 = 5*g. Suppose i = 0, 0 = -2*k - 2*i + 4 + g. Solve 2*c + k = -c for c. -2 Let w be 7/(-4) - 1/4. Let l = w - -7. Let o = -1 - -1. Solve l*x - x + 4 = o for x. -1 Let p = 2 + -2. Let j be (-21)/(-28) + (-22)/8. Let f = p - j. Solve f*o = -o for o. 0 Suppose -2*d + 6 = d. Let h = -9 - -8. Let f be (h - -3)/((-6)/(-9)). Solve -d*p - f = p for p. -1 Let n(a) = a - 2. Let o be n(5). Let l be 1 - -4*4/(-16). Let w be (l - 0)/(18/9). Solve 6*s - o*s = w for s. 0 Let k be 3 - (-3)/(6/4). Let w = 8 - 1. Let o = w - k. Solve o*l + 0*l = 2 for l. 1 Let l(t) be the third derivative of t**4/12 + t**3/3 - t**2. Let s be l(-2). Let i = 1 - s. Solve -2 = i*p - 5 for p. 1 Suppose -5*s - 19 = 3*u, -2*s - 2*u = 2*u + 16. Let d = s - -4. Suppose i = d*i. Solve i*l = -l - 3 for l. -3 Let q(v) = 2*v**3 - 3*v + 1. Let z(l) = 3*l**3 - 4*l. Let u(t) = 4*q(t) - 3*z(t). Let n be u(0). Solve 0 = n*i - 7*i + 6 for i. 2 Let q = -2 - -3. Let z be (2 - 2/q)*1. Solve 3*j - 4*j + 4 = z for j. 4 Let n(c) = -c**2 + 2*c + 8. Let o be n(4). Suppose -h + 0 + 10 = o. Solve -5*w + 5 = -h for w. 3 Let n be -3*(12/9)/(-2). Solve 0 = -3*m - 14 + n for m. -4 Let t be (-3 - 1)/(-6 - -2)*1. Let j be (1 - 1)*(-2)/(-4). Suppose -5*g - 3*o + 10 = 0, j = 3*g - 0*g + 3*o - 6. Solve x = t + g for x. 3 Let y(a) = -a**3 - 8*a**2 - 9*a + 4. Let t be y(-7). Suppose 0 = 3*w - 6*w + t. Solve 0 = -2*k - w - 4 for k. -5 Suppose 4*o = -3 - 5. Let x = 1 - o. Solve -3*i - 12 = x for i. -5 Let k = -5 + 10. Solve 14 = k*v - 6 for v. 4 Let w(n) = -9*n**2 + 1 - 23 - 11 + 25*n. Let f(u) = 5*u**2 - 13*u + 17. Let s(y) = -11*f(y) - 6*w(y). Let z be s(-8). Solve -r = -z*r for r. 0 Let s = 27 - 25. Solve -s*g = g for g. 0 Suppose -8 = -4*u + 4. Solve -25 = -2*h - u*h for h. 5 Let b be 14/(2/(-1)) + 1. Let l = 8 + b. Solve l*o = -2*o - 4 for o. -1 Let n = 1 - -
{ "pile_set_name": "DM Mathematics" }
)/2 Factor q**3/4 + 1440*q**2 - 57675*q/4 + 72125/2. (q - 5)**2*(q + 5770)/4 What is f in -5*f**5/3 - 45025*f**4/3 + 1083395*f**3/3 - 768155*f**2/3 - 2076670*f = 0? -9029, -2, 0, 3, 23 Find j such that 2*j**2 - 968*j - 4890 = 0. -5, 489 Factor m**2/10 - 20274*m/5 - 1151406. (m - 40830)*(m + 282)/10 Solve -2*p**4/7 + 19506*p**3/7 + 195226*p**2/7 + 47418*p + 156208/7 = 0. -8, -1, 9763 Find n, given that -2*n**5 + 1126*n**4/5 - 32844*n**3/5 + 49684*n**2/5 + 154462*n + 177870 = 0. -3, -7/5, 7, 55 Determine a so that -2*a**5 - 22468*a**4 + 179830*a**3 - 472120*a**2 + 494632*a - 179872 = 0. -11242, 1, 2, 4 Suppose -2*i**4/5 - 368*i**3 + 191142*i**2 - 570844*i + 1900352/5 = 0. What is i? -1291, 1, 2, 368 Factor -5970*j**2 - 1764087*j/2 + 3546. -3*(4*j + 591)*(995*j - 4)/2 Factor s**3/3 - 962*s**2/3 + 266236*s/3 - 7589544. (s - 558)*(s - 202)**2/3 Let w**3/2 + 20223*w**2/2 + 2762208*w + 189935334 = 0. Calculate w. -19947, -138 Factor -z**2/10 - 54208*z/5 + 108426. -(z - 10)*(z + 108426)/10 Let -u**4/5 - 55*u**3 + 50862*u**2/5 - 1796036*u/5 + 3611608 = 0. Calculate u. -410, 22, 91 Solve z**3/7 + 12770*z**2/7 - 371171*z/7 = 0. -12799, 0, 29 Factor -x**2/5 - 46397*x/5 - 4907234. -(x + 535)*(x + 45862)/5 Let 5*j**5 + 19945*j**4 + 258635*j**3 + 775255*j**2 - 258640*j - 795200 = 0. What is j? -3976, -8, -5, -1, 1 Factor 5*j**3 + 4725*j**2 + 238980*j + 2319200. 5*(j + 13)*(j + 40)*(j + 892) Suppose -3*s**5/7 - 363*s**4/7 - 8046*s**3/7 + 70698*s**2/7 - 115791*s/7 + 53505/7 = 0. Calculate s. -87, -41, 1, 5 Factor 3*v**2 + 27438*v - 5693541. 3*(v - 203)*(v + 9349) Determine d, given that 2*d**3/13 + 1233266*d**2/13 - 36999780*d/13 = 0. -616663, 0, 30 What is f in -f**2/3 + 21879104*f/3 - 119673797960704/3 = 0? 10939552 Factor -k**2 + 167471148*k - 7011646353109476. -(k - 83735574)**2 What is g in -8*g**3 - 792626*g**2 - 198146*g + 990780 = 0? -99078, -5/4, 1 Let 2197*f**5/3 - 3287726*f**4/3 - 13860483*f**3 + 19658254*f**2/3 - 3048284*f/3 + 52312 = 0. What is f? -13, 2/13, 1509 Factor 2*b**3/3 - 1868*b**2 + 524790*b - 38952576. 2*(b - 2496)*(b - 153)**2/3 Find w such that -w**2/3 + 4759408*w/3 - 5662991127616/3 = 0. 2379704 Find z such that z**4/4 - 4564411*z**3/4 - 1141103*z**2 = 0. -1, 0, 4564412 Determine j, given that -2*j**5/5 + 1698244*j**4/5 + 12*j**3/5 - 2037896*j**2 + 13585958*j/5 - 5094732/5 = 0. -3, 1, 849122 Determine q, given that 24*q**5 - 48012*q**4 + 35376342*q**3 - 11305967937*q**2 + 1306362798807*q + 1317704191122 = 0. -1, 302, 1133/2 Factor 1480479529*v**2 - 5540688*v + 5184. (38477*v - 72)**2 Suppose -5*u**3 - 18850*u**2 - 393645*u = 0. Calculate u. -3749, -21, 0 Find v such that 20*v**3 + 1510915*v**2 - 1888705*v - 2266410 = 0. -75547, -3/4, 2 Let 5*w**2 + 69476650*w = 0. What is w? -13895330, 0 Suppose a**3 + 49768*a**2 + 398080*a = 0. Calculate a. -49760, -8, 0 Factor 5*w**2 - 4189645*w + 4189640. 5*(w - 837928)*(w - 1) Let -9261*v**5 + 5183514*v**4 - 318534993*v**3 + 6982781140*v**2 - 54656068400*v + 47986648000 = 0. Calculate v. 1, 460/21, 493 Find s, given that 2*s**2 - 3385896*s + 1433036465352 = 0. 846474 Factor -4758*r**3 - 2645*r**2/3 - 50*r/3. -r*(61*r + 10)*(234*r + 5)/3 Suppose 5*g**3 - 31950*g**2 - 127865*g - 95910 = 0. What is g? -3, -1, 6394 Factor x**2/4 - 47513*x/2 + 1377036. (x - 94968)*(x - 58)/4 Factor -2*y**2/15 + 87062*y/15 - 3524752. -2*(y - 42915)*(y - 616)/15 Find z such that 2*z**3/19 + 641990*z**2/19 + 27601956*z/19 + 26959968/19 = 0. -320952, -42, -1 Find u such that -4*u**4 - 12564*u**3 - 100132*u**2 + 388404*u - 275704 = 0. -3133, -11, 1, 2 Suppose -2*q**5 + 8953044*q**4 - 26859120*q**3 + 26859116*q**2 - 8953038*q = 0. Calculate q. 0, 1, 4476519 Factor -779637*b**2 - 779635*b + 2. -(b + 1)*(779637*b - 2) Let 78*s**5 + 72778*s**4 + 75960*s**3 - 432472*s**2 - 22368*s = 0. Calculate s. -932, -3, -2/39, 0, 2 Determine f, given that -4*f**5 + 5453*f**4 - 145755*f**3 + 175042*f**2 - 34736*f = 0. 0, 1/4, 1, 26, 1336 Suppose 15*v**4 - 18365*v**3 - 16885105*v**2 + 5642645*v + 11260810 = 0. What is v? -613, -2/3, 1, 1837 Suppose 5*o**3 - 84165*o**2 - 589620*o + 3704800 = 0. Calculate o. -11, 4, 16840 Let 58*v**2 + 2713*v + 4635 = 0. What is v? -45, -103/58 Let -5*p**2 - 4148740*p - 12446175 = 0. What is p? -829745, -3 Find r such that 2490084*r**4 - 1601702349*r**3 + 371859841*r**2 + 6976501*r + 31507 = 0. -7/789, 1/4, 643 Find y, given that 2*y**2 + 979300*y - 3917232 = 0. -489654, 4 Find g, given that -993*g**4/2 + 2054477*g**3/8 + 1564805*g**2/8 - 62353*g - 1295/2 = 0. -1, -10/993, 1/4, 518 What is p in -3*p**4/2 + 148287*p**3/2 - 918023721*p**2 + 44812275930*p - 85953050100 = 0? 2, 47, 24690 Factor 4*n**2 + 10895584*n + 7419609418816. 4*(n + 1361948)**2 Solve x**5 - 3053*x**4 + 75727*x**3 - 81299*x**2 - 1384256*x + 1392880 = 0. -4, 1, 5, 23, 3028 Find r, given that -1445*r**5 + 4331*r**4 + 36137*r**3 + 30445*r**2 + 84*r = 0. -3, -1, -4/1445, 0, 7 Determine o so that 2*o**2/7 + 193456*o + 32747070944 = 0. -338548 Factor -i**3/3 + 34*i**2/3 + 35*i - 2646. -(i - 27)*(i - 21)*(i + 14)/3 Solve 10*j**3 - 934954*j**2 + 8787720*j - 3365496 = 0 for j. 2/5, 9, 93486 Factor -a**2/7 + 904*a/7 + 214476. -(a - 1758)*(a + 854)/7 Suppose -27*j**5/4 - 47769*j**4/4 - 38415*j**3 - 7920*j**2 + 47688*j + 10596 = 0. What is j? -1766, -2, -2/9, 1 Solve 2*f**2/7 - 7692436*f/7 + 7396696451762/7 = 0 for f. 1923109 Let 4*k**5/5 + 2866*k**4/5 + 9974*k**3/5 - 5704*k**2/5 = 0. What is k? -713, -4, 0, 1/2 Factor 4*r**2 - 355828*r - 411572232. 4*(r - 90099)*(r + 1142) Find y, given that y**3 - 351434*y**2 - 11598379*y - 11246944 = 0. -32, -1, 351467 Suppose s**4/8 + 15051*s**3/8 - 22581*s**2/4 = 0. What is s? -15054, 0, 3 Find i, given that 2*i**4 - 14*i**3 - 1056*i**2 + 5688*i + 66528 = 0. -21, -6, 12, 22 Factor -h**3/6 + 1090603*h**2/3 - 1189414903609*h/6. -h*(h - 1090603)**2/6 Let -6*r**3/11 - 355824*r**2/11 - 97038*r = 0. Calculate r. -59301, -3, 0 Factor q**2/7 + 333313*q/7 + 7377070. (q + 155)*(q + 333158)/7 Determine u, given that 4*u**3 - 292*u**2 - 569384*u - 569088 = 0. -342, -1, 416 Suppose -r**2/5 - 326304*r/5 - 26618575104/5 = 0. What is r? -163152 Factor 3*j**2 - 922525026*j + 70921035299691723. 3*(j - 153754171)**2 Solve -113*i**2 + 22479*i + 1592 = 0 for i. -8/113, 199 What is g in -g**5/4 - 23*g**4 + 1345*g**3/4 - 577*g**2 - 5316*g + 15120 = 0? -105, -4, 4, 9 Find r, given that -3*r**3 - 1050012*r**2 - 5249997*r - 4199988 = 0. -349999, -4, -1 Find m, given that 4*m**5 - 5668*m**4 + 1980136*m**3 + 10117112*m**2 - 26151980*m + 14060396 = 0. -7, 1, 653, 769 Let -3*c**5 + 148437*c**4 - 2450836779*c**3 + 13547089969575*c**2 - 723854685138750*c - 3112329071625000 = 0. Calculate c. -4, 58, 16475 Solve -26*y**4 + 54466*y**3/3 + 258502*y**2/3 + 142094*y/3 - 61864/3 = 0. -4, -1, 11/39, 703 Determine p so that 114*p**5/13 + 241910*p**4/13 + 127120742*p**3/13 - 1288111718*p**2/13 + 207522976*p + 3671304 = 0. -1066, -1/57, 3, 7 Determine u so that -2*u**4/3 + 48*u**3 - 1042*u**2/3 - 2012*u + 5040 = 0. -5, 2, 12, 63 Find f, given that -f**2 + 81240178*f - 1649991630367921 = 0. 40620089 Solve 4*x**2 - 21176*x - 1004108 = 0 for x. -47, 5341 Factor -x**2 + 418985900*x - 43887296099702500. -(x - 209492950)**2 Factor 5*u**4 - 3945*u**3 - 101630*u**2 - 97680*u. 5*u*(u - 814)*(u + 1)*(u + 24) Find f, given that -371358*f**4 - 866799*f**3 + 700761*f**2 - 123225*f - 99 = 0. -3, -11/13754, 1/3 Factor -4*w**3 - 2567076*w**2 - 25670460*w - 64175900. -4*(w + 5)**2*(w + 641759) Find y, given that 4*y**3 - 149460*y**2 + 896636*y - 747180 = 0. 1, 5, 37359 Let -m**3/6 - 22874579*m**2/3 + 91498319*m/6 - 7624860 = 0. What is m? -45749160, 1 Determine k so that k**2/7 + 39087712*k/7 + 381962307348736/7 = 0. -19543856 Suppose -2*z**4/7 + 2368*z**3/7 - 474622*z**2/7 - 476992*z/7 = 0. Calculate z. -1, 0, 257, 928 Solve -r**4/3 + 55558*r**3 - 6945055553*r**2/3 - 888928*r + 37040296368 = 0. -4, 4, 83337 Find r such that -2*r**2/5 + 62358*r/5 - 3610036/5 = 0. 58, 31121 What is l in 38702*l**2/3 - 1702912*l/3 + 352 = 0? 12/19351, 44 Factor v**2/3 - 111002612*v/3 + 3080394967705636/3. (v - 55501306)**2/3 Suppose 2*a**2/15 + 15553664*a + 453593369671680 = 0. What is a? -58326240 Determine l, given that -7*l**4 - 117567*l**3 + 9405210*l**2 - 186303200*l - 54000000 = 0. -
{ "pile_set_name": "DM Mathematics" }
= 0. -2, 3, 4 Let -j**2/2 - 29*j/2 + 15 = 0. Calculate j. -30, 1 Find n such that 5*n**2 + 2630*n - 7935 = 0. -529, 3 What is c in -2*c**5 - 12*c**4 - 18*c**3 - 8*c**2 = 0? -4, -1, 0 Factor -2*h**2 - 140*h - 2450. -2*(h + 35)**2 Determine u so that 4*u**3 + 236*u**2 + 3596*u + 3364 = 0. -29, -1 Suppose -w**3 + 6*w**2 + 25*w + 18 = 0. What is w? -2, -1, 9 Find y such that 4*y**3 - 540*y**2 + 11232*y - 63936 = 0. 12, 111 What is g in 18*g**2 - 520*g - 58 = 0? -1/9, 29 Factor -5*c**4 + 300*c**3 - 1930*c**2 + 4020*c - 2385. -5*(c - 53)*(c - 3)**2*(c - 1) Factor -2*y**3/15 + 46*y**2/5 + 428*y/15 + 96/5. -2*(y - 72)*(y + 1)*(y + 2)/15 Factor 14*w**4/19 - 6*w**3/19 - 20*w**2/19. 2*w**2*(w + 1)*(7*w - 10)/19 Determine h, given that 4*h**5 + 684*h**4 - 4960*h**3 + 4400*h**2 + 22656*h - 22784 = 0. -178, -2, 1, 4 Solve -5*w**4 + 105*w**3 - 370*w**2 - 1920*w - 1440 = 0. -2, -1, 12 Find t such that 5*t**2 - 550*t + 15125 = 0. 55 Factor 2*k**4/5 - 8*k**3/5 - 2*k**2/5 + 8*k/5. 2*k*(k - 4)*(k - 1)*(k + 1)/5 Factor 3*o**4/4 - 12*o**3 + 63*o**2/2 - 30*o + 39/4. 3*(o - 13)*(o - 1)**3/4 Suppose v**5 + 102*v**4 + 2977*v**3 + 19176*v**2 + 35344*v = 0. Calculate v. -47, -4, 0 Determine v so that v**3/6 + 58*v**2/3 + 3245*v/6 - 3481/3 = 0. -59, 2 Let 2*j**5 - 10*j**4 - 146*j**3 - 254*j**2 - 120*j = 0. What is j? -5, -1, 0, 12 Factor 4*r**3/3 - 28*r**2 + 24*r + 160/3. 4*(r - 20)*(r - 2)*(r + 1)/3 What is q in q**2/5 - 33*q/5 + 32/5 = 0? 1, 32 Factor n**4 + 2*n**3 - 7*n**2 - 20*n - 12. (n - 3)*(n + 1)*(n + 2)**2 Let 85*l**3/9 + 83*l**2/9 - 2*l/9 = 0. Calculate l. -1, 0, 2/85 Let 2*k**2 - 2302*k + 2300 = 0. Calculate k. 1, 1150 Suppose -20*w**5 - 576*w**4/7 + 652*w**3/7 + 144*w**2/7 - 80*w/7 = 0. Calculate w. -5, -2/5, 0, 2/7, 1 Factor 5*d**4 - 120*d**3 + 810*d**2 - 880*d - 1815. 5*(d - 11)**2*(d - 3)*(d + 1) Factor 5*o**5 - 140*o**4 + 375*o**3. 5*o**3*(o - 25)*(o - 3) Solve 2*t**3 + 180*t**2 + 694*t + 516 = 0 for t. -86, -3, -1 Find p, given that -24*p**5 - 51*p**4 - 51*p**3/4 + 111*p**2/4 + 39*p/4 - 15/4 = 0. -1, 1/4, 5/8 Factor 2*m**2 + 142*m + 1008. 2*(m + 8)*(m + 63) Let 3*u**5 + 51*u**4 - 57*u**3 - 51*u**2 + 54*u = 0. Calculate u. -18, -1, 0, 1 Solve -g**3 + 3*g - 2 = 0. -2, 1 What is i in 2*i**2/9 + 4*i/9 - 70/9 = 0? -7, 5 Factor -2*l**2/7 - 192*l/7 - 4608/7. -2*(l + 48)**2/7 Factor -4*m**3 - 524*m**2. -4*m**2*(m + 131) Let -4*l**3 - 76*l**2 - 72*l = 0. Calculate l. -18, -1, 0 Factor -2*g**2/5 + 1734*g/5. -2*g*(g - 867)/5 Factor 3*q**3 - 33*q**2 + 78*q - 48. 3*(q - 8)*(q - 2)*(q - 1) Factor 15*h**3 - 24*h**2 + 3*h + 6. 3*(h - 1)**2*(5*h + 2) Determine b so that -b**2 + 133*b/5 + 54/5 = 0. -2/5, 27 Solve -4*h**4 - 12*h**3 - 12*h**2 - 4*h = 0 for h. -1, 0 Let 3*n**2/4 - 141*n/2 + 279/4 = 0. Calculate n. 1, 93 Determine g so that 3*g**5 - 12*g**4 + 18*g**3 - 12*g**2 + 3*g = 0. 0, 1 Factor -m**4 - 2*m**3 + 8*m**2. -m**2*(m - 2)*(m + 4) Solve 5*g**2 + 1880*g = 0 for g. -376, 0 Factor 10*d**3/13 + 36*d**2/13 - 136*d/13 + 48/13. 2*(d - 2)*(d + 6)*(5*d - 2)/13 Let 5*s**5 + 75*s**4 + 315*s**3 + 405*s**2 = 0. What is s? -9, -3, 0 Let 2*d**3/5 + 2*d**2/5 - 42*d/5 - 18 = 0. Calculate d. -3, 5 Factor f**3 + 10*f**2 - 53*f + 42. (f - 3)*(f - 1)*(f + 14) Factor -4*x**5 - 32*x**4 + 80*x**3 - 8*x**2 - 76*x + 40. -4*(x - 1)**3*(x + 1)*(x + 10) Find y such that -5*y**3/4 - 2095*y**2/4 - 55640*y - 162240 = 0. -208, -3 Solve -12*t**3 - 1341*t**2 + 1692*t - 339 = 0 for t. -113, 1/4, 1 What is l in -2*l**2/5 - 9*l/5 + 1 = 0? -5, 1/2 What is o in 2*o**2 - 134*o/5 + 52/5 = 0? 2/5, 13 Factor -3*n**4/4 - 249*n**3/4 - 243*n**2/2. -3*n**2*(n + 2)*(n + 81)/4 Factor -l**5/4 + 3*l**4/2 - 13*l**3/4 + 3*l**2 - l. -l*(l - 2)**2*(l - 1)**2/4 Determine a so that -10*a**4/7 + 96*a**3/7 + 50*a**2/7 - 96*a/7 - 40/7 = 0. -1, -2/5, 1, 10 Suppose -2*m**5/7 + 116*m**4/7 - 32*m**3 = 0. What is m? 0, 2, 56 Let 2*t**5/21 - 34*t**4/7 + 338*t**3/7 + 7486*t**2/21 + 272*t - 672 = 0. What is t? -3, 1, 28 Find g, given that 2*g**3/7 + 114*g**2/7 + 2166*g/7 + 13718/7 = 0. -19 Factor 20*i**2 + 108*i + 40. 4*(i + 5)*(5*i + 2) Factor 4*j**3 - 816*j**2 - 25200*j - 181888. 4*(j - 232)*(j + 14)**2 Let -2*m**2/5 + 54*m/5 - 52/5 = 0. Calculate m. 1, 26 Find p, given that -10*p**5/3 - 82*p**4/3 - 266*p**3/5 + 98*p**2/15 + 416*p/15 - 8 = 0. -5, -3, -1, 2/5 Factor 4*v**2 + 536*v + 17956. 4*(v + 67)**2 Factor 2*r**3/5 + 2*r**2/5 - 24*r/5. 2*r*(r - 3)*(r + 4)/5 Factor -f**3/3 - 47*f**2/3 - 44*f. -f*(f + 3)*(f + 44)/3 Determine s, given that -9*s**4 + 525*s**3 - 165*s**2 - 525*s + 174 = 0. -1, 1/3, 1, 58 Factor s**2/3 - 49*s/3 + 598/3. (s - 26)*(s - 23)/3 Let 2*v**4/13 - 10*v**3/13 + 4*v**2/13 + 16*v/13 = 0. What is v? -1, 0, 2, 4 Factor -q**3/5 + 1777*q**2/5 - 788543*q/5 - 790321/5. -(q - 889)**2*(q + 1)/5 Factor -15*z**4 + 50*z**3 - 45*z**2 + 10*z. -5*z*(z - 2)*(z - 1)*(3*z - 1) Find k such that -k**3/9 - 118*k**2/9 + 484*k/9 - 488/9 = 0. -122, 2 Solve -o**4 + 16*o**3 = 0. 0, 16 Factor 2*j**5 + 74*j**4 - 76*j**3. 2*j**3*(j - 1)*(j + 38) Let 3*d**5 + 18*d**4 - 111*d**3 + 102*d**2 + 108*d - 120 = 0. What is d? -10, -1, 1, 2 Find p, given that -p**4/2 - 87*p**3/2 - 2097*p**2/2 - 8897*p/2 - 5043 = 0. -41, -3, -2 Determine r, given that 3*r**2/8 - 75*r/8 + 54 = 0. 9, 16 Factor b**3 + 36*b**2 + 240*b + 448. (b + 4)**2*(b + 28) Factor 2*x**3/5 - 8*x/5. 2*x*(x - 2)*(x + 2)/5 Suppose x**3/5 + 99*x**2/5 - 102*x/5 - 40 = 0. What is x? -100, -1, 2 Factor -g**2/5 - 7*g/5 - 12/5. -(g + 3)*(g + 4)/5 Factor 3*i**3/5 - 9*i**2/5 - 3*i/5 + 9/5. 3*(i - 3)*(i - 1)*(i + 1)/5 Solve -3*d**2 - 162*d = 0. -54, 0 Solve -c**3 + 2*c**2 + 4*c - 8 = 0. -2, 2 Factor 4*m**3/7 - 12*m**2 + 284*m/7 - 204/7. 4*(m - 17)*(m - 3)*(m - 1)/7 Factor -u**2/7 - 1324*u/7 - 438244/7. -(u + 662)**2/7 Find n, given that 5*n**5 + 5*n**4 - 5*n**3 - 5*n**2 = 0. -1, 0, 1 Factor -4*g**5 + 16*g**4 - 20*g**3 + 8*g**2. -4*g**2*(g - 2)*(g - 1)**2 Solve 2*y**2/7 + 54*y/7 + 100/7 = 0 for y. -25, -2 Determine d, given that 2*d**2 - 142*d + 408 = 0. 3, 68 Find x such that -4*x**4 - 48*x**3 - 104*x**2 + 48*x + 108 = 0. -9, -3, -1, 1 Factor -p**2/5 - 3*p/5 + 2. -(p - 2)*(p + 5)/5 Factor -3*u**3 + 450*u**2 - 16875*u. -3*u*(u - 75)**2 Determine a, given that 2*a**2 - 660*a + 54450 = 0. 165 Factor 2*p**3/9 - 182*p**2/9 + 4048*p/9 + 4232/9. 2*(p - 46)**2*(p + 1)/9 Suppose 106*c**3 - 158*c**2 + 52*c = 0. Calculate c. 0, 26/53, 1 Suppose 6*p**2 - 3*p - 45 = 0. Calculate p. -5/2, 3 Factor -4*c**4 + 28*c**3 - 24*c**2. -4*c**2*(c - 6)*(c - 1) Factor 5*y**4 + 100*y**3 - 5*y**2 - 100*y. 5*y*(y - 1)*(y + 1)*(y + 20) Solve -21*t**5 + 83*t**4 - 43*t**3 - 71*t**2 + 64*t - 12 = 0 for t. -1, 2/7, 2/3, 1, 3 Factor -i**4 - 18*i**3 - 105*i**2 - 196*i. -i*(i + 4)*(i + 7)**2 Factor s**3/7 - 283*s**2 + 982080*s/7 - 980100/7. (s - 990)**2*(s - 1)/7 Factor -3*c**2 - 1473*c - 2934. -3*(c + 2)*(c + 489) Find f such that -3*f**3 + 60*f**2 - 204*f + 192 = 0. 2, 16 Let -4*h**5 - 100*h**4 + 960*h**3 - 3040*h**2 + 4160*h - 2112 = 0. Calculate h. -33, 2 Factor 3*v**2/4 - 3*v/2. 3*v*(v - 2)/4 Factor -2*w**2 + 256*w - 8192. -2*(w - 64)**2 Find z, given that 2*z**3 - 26*z**2 + 88*z - 64 = 0. 1, 4, 8 Solve -2*s**4/3 + 22*s**3/3 - 22*s**2 + 10*s/3 + 100/3 = 0 for s. -1, 2, 5 Factor -v**5 - v**4 + 2*v**3. -v**3*(v - 1)*(v + 2) Let 4*k**3/3 - 632*k**2/3 + 2480*k/3 - 2464/3 = 0. What is k? 2, 154 Factor -5*u**4/4 - 1485*u**3 - 885055*u**2/2 - 880605*u - 1758245/4. -5*(u + 1)**2*(u + 593)**2/4 Find m such that -m**3/5 + 8*m**2/5 - 19*m/5 + 12/5 = 0. 1, 3, 4 Factor -3*l**2 - 213*l + 216. -3*(l - 1)*(l + 72) Let -2*k**4 + 48*k**3 - 132*k**2 + 128*k - 42 = 0. Calculate k. 1, 21 Solve 5*j**5 - 5*j**4 - 25*j**3 + 25*j**2 + 20*j - 20 = 0. -2, -1, 1, 2 Let y**3/3 + 23*y**2/3 + 79*y/3 + 19 = 0. What is y? -19, -3, -1 Suppose 5*y**4 - 30*y**3 - 35*y**2 = 0. What is y? -1, 0, 7 Factor -4*c**2/7 + 192*c/7 - 2204/7. -4*(c - 29)*(c - 19)/7 Solve s**5 - 11*s**4/3 + 10*s**3/3 + 2*s**2 - 13*s/3 + 5/3 = 0. -1, 1, 5/3 Factor 2*a**3/7 + 120*a**2/7 - 246*a/7 + 124/7. 2*(a - 1)**2*(a + 62)/7 Factor -5*o**2 - 60*o + 140. -5*(o - 2)*(o + 14) Factor 12*f**2 - 93*f - 24. 3*(f - 8)*(4*f + 1) Factor 4*d**3/7 + 1324*d**2/7 + 2636*d/7 + 188. 4*(d + 1)**2*(d + 329)/7 Suppose 2*w**5 - 10*w**4 + 10*w**3 + 10*w**2 - 12*w = 0. Calculate w. -1, 0, 1, 2, 3 Solve
{ "pile_set_name": "DM Mathematics" }
f = 0, -66 = -4*k + 3*c + 127. Calculate the greatest common divisor of k and 7. 7 Suppose -4*r = 4*v + 28, 5*r - 4*v - v = -15. Let q = r + 15. Calculate the highest common factor of 5 and q. 5 Let f(y) = 5*y + 1. Let v be f(4). Suppose 300*r - 4744 + 544 = 0. Calculate the greatest common factor of v and r. 7 Suppose -m = -2, -4*q + 8*q - m = 46. Let r be 4/6 + (-861)/9*-2. What is the highest common divisor of r and q? 12 Let g = -6 + 80. Let m = 142 + g. What is the highest common divisor of m and 24? 24 Let h(a) = 9*a - 4*a - 113*a**3 + 5 - 6*a**2 + 114*a**3. Let q be h(6). Suppose 4*f + 3 = q. Calculate the highest common divisor of f and 1. 1 Let m = -254 + 286. What is the highest common factor of 96 and m? 32 Let t(n) = 13*n - 128. Let x be t(12). Calculate the greatest common factor of 36 and x. 4 Let z = -534 + 586. What is the highest common factor of z and 52? 52 Suppose -4*l + 23 = 3*x, 0 = 5*l - l - 4*x - 16. Suppose 5*z = -2*d + 53, 2*z - l*z = -3*d + 111. Calculate the highest common factor of 85 and d. 17 Let k(y) = -y**2 - y - 1. Let f(x) = 3*x**2 + 24*x + 32. Let b(o) = f(o) + 2*k(o). Let s be b(-21). Calculate the greatest common divisor of s and 45. 9 Let j(y) = -4*y**2 - 27*y + 50. Let a(i) = 7*i**2 + 53*i - 99. Let b(k) = -3*a(k) - 5*j(k). Let u be b(-23). What is the highest common factor of u and 14? 14 Let r = 66 - 84. Let n = r + 34. Let w(a) = a**3 - 8*a**2 + a - 4. Let m be w(8). Calculate the greatest common factor of m and n. 4 Let i = 7 - 0. Let d(x) = -7*x**3 - 6*x**2 + 0*x**2 + i*x**2. Let c be d(-1). Calculate the highest common divisor of 4 and c. 4 Suppose 2*a - 51 = z + 29, -z = 4*a + 92. Let d be (z/(-15))/(6/15). Let g = -10 + d. What is the highest common factor of g and 32? 4 Let h be ((-35)/105)/((-2)/18). Calculate the highest common divisor of h and 129. 3 Suppose 0 = -33*u + 31*u + 8. Suppose s + 5*j - 194 = 0, 197 = s - 0*s + u*j. Calculate the greatest common factor of s and 19. 19 Suppose -13*y = -2*y - 3872. What is the highest common factor of 32 and y? 32 Let l(z) = -3*z + 113. Let w be l(12). Let a(c) = 7*c - 3. Let u be a(2). Calculate the greatest common factor of u and w. 11 Suppose 45*z - 44*z = 52. What is the greatest common factor of 65 and z? 13 Let l be 8202/8 + (-5)/20. What is the highest common factor of l and 41? 41 Let k = 25 - 28. Let c be 6*((13 - 2) + k). Suppose 2*r + 12 = 2*h, 5*r = -h + c - 18. Calculate the highest common factor of 110 and h. 10 Let w(l) = 3*l + 13. Let p be w(-5). Let n be ((-1140)/(-45))/(8/3 + p). What is the greatest common factor of n and 57? 19 Suppose -4*j + 867 = -j. Let c = j + -179. Suppose -3*x + 9 = -21. What is the greatest common divisor of x and c? 10 Let n be ((-15)/(-6) - 1)*4/6. Let k be n - (-2 - -3) - (1 + -2). What is the greatest common divisor of 11 and k? 1 Suppose -3*r - 17 + 8 = 0. Let u be r/9 + 758/6. Let k = 63 - 45. What is the highest common factor of k and u? 18 Suppose 0 = -2*v - 5*i - 30, -4*v - v - 4*i = 92. Let r be (95/v)/(3/(-24)). Let k be 565/10 - (-2)/4. Calculate the highest common divisor of k and r. 19 Let j = 135 - 115. Suppose -28 = -3*d + j. What is the highest common divisor of d and 2? 2 Let f be 11/2 - (-3)/(-6). Suppose 5*w - r = 830, -3*w - f*r + 590 - 120 = 0. Let z = 40 + -25. Calculate the greatest common divisor of z and w. 15 Suppose 5*f + 0*f = 30. Let x(v) = -3*v**3 + v**2 + 2*v + 1. Let g = -21 - -20. Let j be x(g). What is the highest common divisor of j and f? 3 Let c = 75 + 2. Let z = -21 + c. What is the greatest common factor of z and 14? 14 Let b(v) = 2*v**2 - 7*v - 5. Let z be b(6). Let r = -321 - -331. What is the greatest common factor of z and r? 5 Let j = -35 - -73. Let l = 3082 - 3063. Calculate the highest common divisor of j and l. 19 Let c be (-232)/(-12) + 2/3. Suppose -28*x = -6*x - 440. Calculate the highest common factor of x and c. 20 Let b = -202 - -206. What is the greatest common factor of 8 and b? 4 Let g be (-148)/(-16) - (-3)/(-12). Let p(u) = u**2 - u - 7. Let j be p(g). Calculate the highest common divisor of 26 and j. 13 Let c = 147 + -99. What is the greatest common factor of 324 and c? 12 Suppose -1280 = 49*k - 59*k. Let m(c) = -17*c**3 - 1. Let i be m(-1). Calculate the greatest common factor of i and k. 16 Suppose -28*r = -13*r - 165. Suppose 3*t + a = 2*t + 6, -3*a - 6 = -5*t. Suppose 124 = t*c - 107. What is the highest common factor of r and c? 11 Let b be 13 + (0 - 9) + (-16)/(-2). Calculate the highest common factor of b and 300. 12 Suppose 4*u + 2*q + 87 = 309, 164 = 3*u - q. Calculate the highest common factor of 10 and u. 5 Let w(c) = -c**2 - 9*c - 12. Let s be w(-9). Let m be (8/(-3))/(s/(-108)). Let o be ((-66)/m)/((-2)/(-8)). Calculate the greatest common factor of o and 55. 11 Let n be 4*(-3)/(-12) - (-31 + -3). Let j(q) = -q**3 - 6*q**2 - 3*q - 4. Let l be j(-6). What is the greatest common divisor of l and n? 7 Let v be (190/(-76))/((-5)/12). Suppose -51 - 21 = -3*f. What is the greatest common factor of f and v? 6 Suppose -4*h + 5*x + 26 + 40 = 0, -5*x = 3*h - 67. Calculate the greatest common divisor of 3 and h. 1 Let r(p) = -p**2 + 7*p - 5. Let q be r(6). Let y be (-7)/21 - (-80)/24. Calculate the highest common divisor of y and q. 1 Let s(y) = -9*y - 7. Let g be s(-5). Let i = -102 + 121. Calculate the greatest common factor of i and g. 19 Suppose 1040 = 42*v - 2*v. Calculate the highest common divisor of v and 286. 26 Suppose -7315*a + 3375 = -7310*a. What is the greatest common factor of 125 and a? 25 Let n(t) = -78*t - 76. Let b be n(-2). Suppose -3*f + 105 = -3*i - 483, -5*f = 5*i - 1020. What is the greatest common factor of f and b? 40 Suppose 0 = 18*x - 23*x + 40. Suppose 48 = 9*s - x*s. What is the highest common divisor of s and 12? 12 Let d be 18/(-144) + (4 - 1830/(-48)). Let b(j) = -2*j**3 - 2*j**2 + 4*j + 4. Let x be b(-4). Calculate the greatest common factor of x and d. 42 Let w be 1819/51 - (-2)/(-3). Let c be (6 + -3)/(-3)*0. Suppose c = -2*m + 12 + 16. Calculate the greatest common factor of w and m. 7 Let v be (-4)/22 - (-168)/(-44). Let w(d) = d**3 + 4*d**2 + d + 5. Let n be w(v). What is the highest common factor of n and 9? 1 Let g(c) = -5*c + 10*c + 2*c**2 - c**2 - 3. Let b be g(-5). Let l be (-4)/12 - 13/b. Calculate the highest common divisor of 20 and l. 4 Suppose -3*p = -3, -1 = -2*s + p - 0*p. Suppose -109*x = -86*x - 253. Calculate the highest common factor of s and x. 1 Let u = 5 + -5. Suppose 0 = 4*z + v - 111, -3*z - 2*v + 5*v + 72 = u. Calculate the greatest common factor of z and 27. 27 Let s be 2/7 - (-2)/((-42)/69). Let m be s - (-11)/((-55)/(-540)). Calculate the greatest common divisor of 15 and m. 15 Suppose -8*d + 10*d - 1660 = 0. Suppose -5*r = -5*l + 1605, 2*l - d = -5*r - 181. Calculate the greatest common divisor of 14 and l. 14 Suppose -p - 4*u + 1 = 0, -4*p - 3*u = -0 - 17. Suppose p*n - 5*w = -20, 3*n + 0*w = -4*w + 23. Calculate the highest common factor of 9 and n. 1 Let x(h) = h**3 + 52*h**2 - 286*h + 135. Let a be x(-57). Let c(r) = 3*r**2 - r. Let p be c(3). What is the highest common factor of p and a? 24 Suppose 19*m - 260 = 15*m. Suppose -p = -0*p - 13. What is the highest common divisor of m and p? 13 Let j = -237 + 335. What is the greatest common factor of 28 and j? 14 Let z be 6*2*(-1)/(-6). Let p be -1 - (-1*z - 32). Suppose 29*v - 5940 = 53*v - 204*v. What is the greatest common factor of p and v? 33 Let z be ((-38)/(3 - (-66)/(-21)))/2. What is the greatest common factor of 19 and z? 19 Suppose -m + 4*m = -4*h + 69, 5*m - 60 = -3*h. Let i = 19 - h. What is the highest common divisor of 20 and i? 4 Let m(q) = -q**3 + 46*q**2 + 7*q - 301. Let t be m(46). Suppose -4*r + 23 + 89 = 0. What is the highest common divisor of t and r? 7 Let y be (48/(-144))/(-2*(-1)/(-324)). Calculate the greatest common factor of 702 and y. 54 Let d be (152/(-32))/((-2)/(-8)). Let j be (-4)/(-1) - (d + 1). Suppose -j*w - 81 = -25*w. Calculate the greatest common divisor of 243 and w. 27 Suppose -7*j + 1 = -13. Suppose -j*i = -7*i + 105. Calculate the greatest common divisor of 7 and i. 7 Let a = -4 + -33. Let h = 2 - a. Let y(t) = -3*t - 4. Let i be y(-10). Calculate the highest common factor of h and
{ "pile_set_name": "DM Mathematics" }
15*k**2/2 + 1754*k. Is v(f) prime? False Let h be 194*((-2)/(-3) - 530/(-60)). Suppose -z = -2*d - 2*z - h, -5*d - 2*z - 4610 = 0. Let j = d - -1601. Is j a prime number? True Let d(c) = -2 + 5 + 0 - 4 + 99*c. Let j be d(6). Suppose -4*q + 595 = a, 0 = -2*a + 3*a + 3*q - j. Is a a composite number? False Suppose 145*l - 2636177 = 104*l. Is l composite? True Let d(k) be the third derivative of 7*k**6/120 + 3*k**4/8 - 5*k**3/6 + k**2 - 16*k. Is d(3) a prime number? True Let m(n) = 7*n - 80. Let y be m(12). Suppose -13*a + y*a = -46881. Is a a composite number? False Let r be (-34)/51 - (-1 + 410/6). Let x = r + 76. Suppose 2*n + 1506 = x*n. Is n a composite number? False Let g(h) = 7 - h - 4 + 282*h**2 + 6*h. Let x be g(-3). Suppose -6*q + x = -3*q - 3*j, 2*q - 3*j - 1685 = 0. Is q composite? True Let a(c) be the second derivative of -899*c**3/6 + 15*c**2/2 - 10*c. Let m be a(-4). Suppose -4*g + m = 5*k, -2*g + 2145 = 3*k - 5*g. Is k composite? False Let g(f) = 275*f + 38. Let m(s) = -412*s - 57. Let j(y) = 7*g(y) + 5*m(y). Is j(-11) a composite number? True Let c(b) = 6*b**3 + 154 - 68 + 13*b**2 - 6*b**2 - 79 - 5*b. Suppose 1 + 9 = 2*q. Is c(q) a prime number? True Let c(w) = -23*w**2 - 11*w - 120. Let a be c(30). Let p = a - -31555. Is p composite? True Suppose 5*l = -72*x + 77*x + 4985615, -l - x = -997111. Is l a composite number? True Suppose 12*a - 45227 = 734041. Is a a composite number? True Suppose 49*q - 1606100 = 2911455. Is q composite? True Suppose 0 = 4*y + 3*f - 780745, -58*y + 55*y + 585606 = -3*f. Is y composite? False Suppose 3*m + 139299 = 6*m. Is m a prime number? False Suppose 6787689 = 14*r + 2569447. Is r a composite number? False Suppose -6*a - 19 = -91. Let z be a/7*-2*(-14)/4. Suppose -z*p + 10*p + 934 = 0. Is p a composite number? False Suppose 0*b + 3*b = j - 439, -b - 898 = -2*j. Let r(p) = -7*p + 164*p**3 - 7 - 3*p**2 - p**2 - j*p**3. Is r(-2) composite? False Suppose -122097 = 110*d - 681667. Is d composite? False Let s = 2496539 + -1373428. Is s a prime number? False Let s(c) = 79*c**2 + 3*c + 7. Let y be s(4). Let w = y + -723. Let q = w - 349. Is q a composite number? False Suppose 40*m = 45*m - 1566 - 1599. Suppose -5*f - 1094 = -3*q - 5892, -2*f - q + 1917 = 0. Let j = f - m. Is j composite? True Suppose -21*d + 16*d + 327333 = 4*v, -2*d = 3*v - 130936. Is d a composite number? True Suppose 5*t - 530465 = -5*k, -5*t + 18*k + 530429 = 17*k. Is t prime? True Suppose 1693 = 2*n - 1669. Let p = n + -1190. Is p composite? False Suppose y + 1798 = -5*h, h - y + 6*y = -374. Let z = 140 - h. Is z prime? True Let m = -48 - -58. Let i(c) = -m + 5 + 11 + 2*c**2 - 27*c + 15. Is i(-20) a prime number? True Suppose 17*n - 198862 = -18*n + 33*n. Is n a prime number? True Let t = -121437 - -727610. Is t composite? False Let k = 414 - 409. Suppose -16808 = -k*c + 7562. Is c prime? False Suppose -4*m - 64 = 4*m. Let z be m/(-2) - (1 - 4037). Suppose -4*p - 2*y = -z, 5*p - y = 2788 + 2269. Is p a prime number? False Let y(c) = -13*c - 10 - 1 - 121*c. Let m be y(-5). Suppose 5*n - m - 791 = 5*z, -z - 1454 = -5*n. Is n prime? False Let z = 5189 + 32133. Is z composite? True Let k(o) = -10*o + 17. Let f(u) be the second derivative of 29*u**3/6 - 51*u**2/2 - 9*u. Let w(y) = -2*f(y) - 7*k(y). Is w(5) composite? False Let g be 126/12*16/(-12). Let r(q) = 2*q + 30. Let y be r(g). Suppose y*l - 7*l + 825 = -4*d, -5*d = 4*l - 619. Is l composite? True Let p(v) = -229*v + 9. Let i be (-6)/(-27) - (-58)/(-18) - -4. Let b be p(i). Let x = b - -343. Is x a composite number? True Suppose -122*w + 1729 = -115*w. Suppose w + 1575 = 2*o. Is o a composite number? False Suppose -10323 + 616027 = 5*k - q, -3*k + 363453 = -4*q. Is k prime? True Let t(h) = 1878*h - 389. Is t(37) prime? False Let s = -1350 - -2519. Let x(a) = 1533*a**2 - 83 + s*a**2 + 84 + 2*a. Is x(1) prime? False Suppose -4*r + 29 = 3*z, -4*r = 2*z - 24 - 2. Suppose 8204 = 5*q + z*s, -3*s = -12*q + 10*q + 3269. Is q composite? True Let l(h) = 139*h - 8652. Is l(109) a prime number? False Let n = 54 - 51. Suppose -2*d + 12 = 3*d + 3*l, n*d - 4*l = -16. Is (-1)/5 - (d + 23508/(-15)) a composite number? False Let p = -409 + 413. Is (4106/p)/(-6 - (-156)/24) composite? False Let q(p) = -32*p**3 + 10*p**2 + 136*p + 179. Is q(-29) a composite number? False Suppose 42*c - 18*c + 720 = 0. Is ((-170020)/c)/((-10)/(-15)) a prime number? True Is (203 - 212) + (-309352)/(-2) a prime number? True Let s(x) = 74226*x**2 - 74*x + 153. Is s(2) prime? True Suppose y + 129*j - 131*j - 384343 = 0, -j = -8. Is y composite? False Let z = 234373 + -129216. Is z a prime number? False Let s(a) = -a**3 - 10*a**2 + 11*a + 2. Let z be s(-11). Suppose -66 = -5*u + z*n, -69 = u - 6*u + 3*n. Is (1 - 270)/(7 + (-88)/u) prime? False Suppose -14615 = -2*v - 3*c + 5819, -v - 4*c + 10207 = 0. Is v a prime number? True Suppose -n + x - 2*x = 3, 3*x = -6. Is 603 + (-2 - n)/(5/20) composite? False Suppose z = -4*i + 340969, 2*z + 174521 - 856433 = 5*i. Is z prime? False Let w(s) = -104179*s + 588. Is w(-1) a composite number? True Let q be 152/114*18/4. Is (-2 + 56096/q)*9/6 a prime number? False Let o be 23 - (6/3 + 0). Let n be (-16785)/(-2) - (o/(-6) - -2). Suppose -6*f + 0*f = -n. Is f a prime number? True Let s be 0/(-1 + (-3 - -2))*1. Suppose -b - w - w - 7 = s, 0 = -w - 5. Suppose 12 = 4*z, -2*p - b*z + 348 = -243. Is p a composite number? True Let z(q) = 6*q**3 - 6*q**2 - 7*q + 12. Suppose -11*j + 675 = -777. Let c be ((-33)/j)/(2/(-40)). Is z(c) composite? False Is 335/134 + (-801521)/(-2) prime? False Let x = 175 - 170. Suppose -b = x*l + 2*b - 12955, 2*l + 5*b = 5163. Is l composite? True Let q = -13029 - -6663. Let m be q/(7/((-21)/6)). Suppose 5*f + m = 8*f. Is f composite? False Let m(j) = -j**3 - 11*j**2 - 12*j - 16. Let o be m(-10). Suppose -o*b = -8429 - 2799. Is b a prime number? False Let h be (-7196)/((18/6)/3). Let r = h - -10973. Is r a composite number? True Let b be (-3 - -17)/1 - (0 - 3). Let d(w) = w**3 - 16*w**2 - 19*w + 36. Let l be d(b). Suppose t + 0*t = -1, 0 = l*z + 5*t - 2133. Is z a prime number? True Let m = 93018 + -52045. Is m a composite number? False Let o be 387 - (-7)/(56/(-12))*2. Suppose 13*f - o - 1631 = 0. Is f prime? False Let u = 127336 - 82383. Is u prime? True Is 95913/3 + (32 - 34) composite? True Let a = 106 + -100. Is 4038 + -2 + -5 + a composite? True Let w(g) = 2*g**3 + 4*g**2 - g + 5261. Let o = 228 + -228. Is w(o) a prime number? True Suppose 0 = 86*j - 0*j + 2302138 - 11378664. Is j a composite number? False Suppose 55*v + 2928 = 58*v. Let k = v + -2398. Let q = 2429 + k. Is q prime? False Let n(j) = 937*j**2 + 103*j - 727. Is n(33) a composite number? True Let f(o) = o**3 + 27*o**2 + 7*o - 4. Let y(v) = -18*v**2 - 14*v + 15. Let j be y(1). Is f(j) prime? True Let x(j) = j**2 + 13*j + 12. Let g be x(-11). Is (4/((-8)/(-7)))/(g/(-2740)) prime? False Let i = 704 - -347195. Is i a composite number? False Let g be ((-30)/(-8))/(9/12). Suppose s - g*j = 1067, s + s = -j + 2145. Let h = s - 581. Is h prime? True Suppose -3*n + 954681 = -4*w, -11*n + 11*w + 1272925 = -7*n. Is n a prime number? False Let f(k) = -38*k**3 - 13*k**2 + 14*k + 36. Is f(-7) a prime number? False Let f(x) be the third derivative of 1/6*x**3 + 1/15*x**5 + 15*x**2 - 1/4*x**4 + 0 + 0*x. Is f(-9) prime? True Suppose -3846736 = -76*s + 67*s - 525853. Is s composite? True Suppose 483*r - 514*r = -3732325 - 6816324. Is r composite? True Let y(j) = 441*j - 8. Let l = -282 + 289. Is y(l) a composite number? False Let j = -167 + 185. Is (-1 - (-22)/j) + (-58808)/(-72) a composite number? True Let i = -1629 + 4089. Suppose x - m = i, 3287 = 4*x + 2*m - 6571. Is x prime? False Let n be (38/(-5))/(46/115). Let c(m) = -31*m - 24. Is c(n) composite? True Suppose a - 2949 = 5*l - 9332, 0 = l - a - 1279. Let k = 604 - 937. Let x = k + l. Is x a composite number? True Let d(b) = b**3 + 3*b**2 + 2293. Let r be d(0). Let i = r + -672. Is i prime? True Suppose 0 = -3*o - 15, 8*w - 40 = 4*w + 4*o. Suppose -7 - 3 = -3*c + t, 0 = 5*c - w*t. Suppose -c*i - 3 = -373. Is i a prime number? False Let d(j) = 3*j**2 - 17*j - 3. Let c be d(6). Suppose 23 = c*x + 11. Is -587*-1*(x + -3) composite? False Suppose -41*g + 294
{ "pile_set_name": "DM Mathematics" }