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is -1 + (-2 - 3 - 0) + 5 - -7? 6 -11 - (-5 + (-6 - -12) - 6) -6 -1 - -39 - 3 - (5 + 1 + 4) 25 Evaluate 27 + -19 + (-4 - 0 - -12). 16 5 + (-4 + (6 - (7 - 4)) - -12) 16 What is -149 - -153 - (3 - 0)? 1 Evaluate 20 - (11 - (-1 + -1) - (-121 + 126)). 12 Evaluate -4 + -4 + (7 - 14) + 5 - 8. -18 Evaluate (-9 - 2) + (6 - 1) + -1. -7 What is the value of (-1 + -5 - (-23 - -16) - -5) + 7? 13 What is the value of -4 + -2 + (4 - 8 - -19) + -12? -3 Evaluate -16 - (-15 - 11) - (-2 + 3). 9 What is 11 - -10 - (-2 + 12 + 1)? 10 Evaluate 30 - 9 - (-10 + 3 + 2). 26 3 + (2 - 7) - (0 - -3) -5 Evaluate -6 + (-1 + 3 - (-11 - 5)) + -8. 4 Calculate (121 - 112) + (-1 - -2). 10 Evaluate -1 - 1 - (-6 + -1 - (16 + -26)). -5 -6 + (-105 - -114) + 1 + -22 + 3 -15 Evaluate 15 - 0 - (-39 - -52). 2 What is the value of -39 + 50 - ((-3 - 2) + -6)? 22 (2 - 2) + 14 + (126 - 116) 24 Evaluate -11 - -17 - -8 - 13. 1 What is -22 + 41 + -38 - 10? -29 Calculate 4 - (-7 - (-7 + -1 - -16)). 19 Calculate (23 - (18 + -1)) + -9 - -7. 4 What is 7 + -13 + 4 - 0 - -11? 9 Evaluate (-11 - (-14 + -1) - 7) + -1. -4 Calculate -15 + 13 + (13 - -2) - -5. 18 Calculate -5 + (13 - ((15 - 0) + -5)). -2 Calculate -8 - (17 + -12 - 0 - 0). -13 (5 - -1) + (-29 - -27) + 16 20 What is -14 + (0 - 6) + 17? -3 8 + -20 + 2 + 21 11 Calculate 27 - (5 + (42 - 34)). 14 What is (117 - 110) + (-7 - 2) + 0? -2 What is the value of (6 - 7) + 7 + -17 + 6 + 6? 1 (3 - (19 + -11)) + 1 + 3 -1 (-1 - 1) + (255 - 268) -15 8 - -1 - (55 - 55) 9 Evaluate 0 + -22 + (527 - 514). -9 Evaluate 7 - (5 - 25 - -60). -33 What is the value of -9 + (54 + -9 - 3 - 13)? 20 Calculate 65 + -45 + -32 + 1. -11 What is 87 + -97 + 0 + 15? 5 Evaluate 9 - -6 - 26 - 2. -13 What is (18 + -28 - (-1 - 10)) + (-3 - -19)? 17 1 + (4 - 11) + -14 + 35 15 4 - (-17 + 2 + 38) -19 What is the value of -12 - (-14 - (-26 - -17))? -7 Evaluate 1 + -4 + (38 - 22) + -9. 4 -18 + 0 + 2 + 5 + -53 + 51 -13 What is 10 + 0 - (17 - (6 + 4 - 7))? -4 Calculate -40 - 2 - (-1995 - -1972). -19 Calculate 2 - (-25 + 2) - 26. -1 Evaluate -7 - (6 - 9 - (4 + -2)). -2 Calculate (3 + -3 - -6) + (-4 - 5). -3 Evaluate (0 - -22) + -23 + 28 + -33 + 16. 10 What is the value of 9 - (-9 + -7 + 14 - -3 - -2)? 6 What is 4 - ((9 - 3) + 3 + -7)? 2 Calculate 12 + -7 + (-22 - (12 - 20)) + 11. 2 What is 15 + -2 + -8 + -12 - -9? 2 -7 + 14 - ((-2 - 7) + 1) 15 Calculate 1 + 5 + -11 + (6 + -9 - -8). 0 (-9 - -4) + (17 - (6 - 20)) 26 -9 + (10 - -10) + -17 + 5 -1 Evaluate 17 - (-1 + 19 + -2). 1 (-19 - (-35 + 3)) + 21 34 Evaluate -87 - -33 - (-47 + 20). -27 Calculate 12 - (251 - 229 - (10 - 0)). 0 What is 4 + (6 - 7 - -43) - 8 - 2? 36 Calculate -4 + 4 + 9 + -1 + -12. -4 (22 - 18) + 7 + -2 9 What is (388 - 385) + (-4 - 2)? -3 Calculate -6 + -1 + 3 + 0 + 2 + 0. -2 Calculate 0 + 10 + -9 + 8 + -2. 7 Calculate 4 + -17 - (-4 + -26). 17 Calculate -34 + 36 - ((8 - 0) + 2). -8 What is the value of (-9 + 6 - -9) + -11? -5 (-13 - (9 + (10 - 5))) + 10 -17 Calculate 16 + (31 - 24) + -49. -26 (8 - (1 - 3)) + -215 + 194 -11 What is the value of 11 + -22 + 17 + 10 + -14? 2 Evaluate (-1 - 1) + 3 + 1 - (-7 - -27). -18 What is (0 - 3) + (21 - 15) + 3 - 5? 1 8 - (5 + (6 - (-5 + -12)) + 1) -21 Evaluate -7 + 4 - 1 - -20 - (-5 - -2). 19 33 + -5 + (11 + -4 - -1) 36 Calculate -11 + -44 + 21 + 29. -5 Evaluate -1 + 7 + (2 - 0) + 4. 12 5 + -4 - (-3 - (7 + -7)) 4 What is -4 + 15 + -21 + 0 + -5? -15 Calculate 24 + 0 + (6 - (8 - 1)). 23 What is the value of 7 + (-9 + 7 - (14 + -2)) + -1? -8 What is the value of 0 - 25 - -53 - (4 - 1)? 25 Calculate 2 - -8 - (4 - 4 - 2). 12 -14 - -39 - (-4 - -2 - (2 - 7)) 22 Calculate -8 - (6 + -4 + -1 + (9 - 9)). -9 What is 50 + -52 + (-1 - (-5 + 7))? -5 (2 - 12 - -2 - (-11 + 7)) + 6 2 Calculate (11 - (-10 - 12)) + -56. -23 (-21 - -20) + -14 + 0 + -1 + 4 -12 -29 + -31 + 47 + 9 -4 What is the value of -1 + 11 - (5 + -20 + 0 + 22)? 3 9 + (9 - 1) + (-109 - -97) 5 What is 74 + -22 - 32 - 35? -15 Calculate (13 - 10 - 1) + -3 + 22. 21 Evaluate 42 + -25 - (12 + -5) - (-2 - 3). 15 -365 + 388 + -1 + -9 13 Evaluate (-7 - -7 - 3) + (-3 - 3) + 0. -9 What is the value of (-10 + (11 - -2) - -16) + (2 - 7)? 14 What is 17 + -10 + 13 + -24? -4 -1229 - -1249 - (47 + -1) -26 What is the value of (11 - -6) + -17 - (-1 + 0)? 1 Calculate (2 - 8) + -50 + 42 + (-1 - -7). -8 Evaluate (32 - (-12 - -28)) + -16. 0 What is (-5 - 4) + (38 - 40)? -11 What is the value of -6 - (0 - (-2 - (11 - 19 - -35)))? -35 Evaluate -27 + 53 + 5 + (-5 - -2). 28 Evaluate 5 + 6 + -5 - (-3 - 3 - -6). 6 Evaluate -1 + -3 + (-11 - (-9 + 2)) - -22. 14 What is the value of 0 - (3 + 0) - (-476 + 454)? 19 What is the value of -4 + 3 + -4 + (5 - 8) + 13? 5 Calculate -8 - (83 - 71 - (-2 + 17)). -5 What is -18 + (-3 - 42) + 34? -29 Evaluate -5 + -5 + (20 - (-1 - -6)) + -9. -4 Evaluate -1 + 4 - (215 + -187). -25 Evaluate (-23 + -1 - 1) + (128 - (104 - -31)). -32 (0 - -3) + -53 - (-52 - -33) -31 What is 43 + -44 - (-11 + 2)? 8 Calculate 13 + 19 + 0 - 57. -25 Evaluate -1 + -14 + 25 - 11. -1 Evaluate -13 + -6 + (-16 - -25). -10 What is (-1 - -3) + 4 + (-11 - -7) + 1? 3 Evaluate (-16 - (1 - -1 - 9)) + -4. -13 Evaluate 1 + -13 + -2 + 2 + -286 + 279. -19 Calculate 10 + 2 + -5 - 2 - 2 - 5. -2 (-1 - -18) + 8 + -14 + -12 -1 Evaluate 29 + -15 - ((5 - -2 - 2) + 1). 8 Evaluate (-7 - -9) + 3 + -1 - -5. 9 (12 + 1 - (-3 + 39)) + 15 -8 Evaluate -1 - -1 - (-1 + -1 - (135 + -144)). -7 What is -2 - 1 - (-9 - 2 - -9) - -4? 3 41 - (-14 - (-46 + 4)) 13 What is -18 - (-3 - -6) - (331 - 320)? -32 What is the value of 0 + -3 + (21 - -3) + 46 + -53? 14 What is the value of (3 - -7) + -63 + 73 + (1 - 8)? 13 What is the value of (0 - (-10 - -2)) + 21 + (38 - 59)? 8 What is -240 + 246 - (-1 + 8)? -1 What is -2 - -21 - (1112 - 1081)? -12 What is the value of (35 - 40) + -3 + 5? -3 What is the value of -1 - 10 - (59 + -64) - 20? -26 What is the value of (-9 - -8 - (0 + -5)) + -16? -12 8 + (-6 - 3) + -10 + 11 0 What is the value of -9 + (-1 - -8) + (11 + 27 - 10)? 26 (-2 - (6 - 6)) + 1 + -11 - -8 -4 What is 5 + (11 - 16) + -39 + 14? -25 What is the value of -15 + (24 - -1) + -9? 1 6 - (3 + (-6 - -8) - 6) 7 Calculate -6 + 0 - ((6 - 19) + 7 + 10). -10 What is 7 + -42 + 5 + 11 + 3? -16 What is -1 - (-49 + 20 + 28 + 1 + 11)? -12 (-5 - -12) + -36 + (8 + -19 - 1) -41 Calculate 57 + -68 - (-1 + 2 - 3). -9 Evaluate 14 - -10 - (-21 - -54). -9 What is the value of (0 + -15 + 0 - -30) + (0 - 9)? 6 Calculate -14 - (-2 + -43 - -28). 3 What is 0 + -9 - (-50 + 104 + -56)? -7 Calculate (7 - 4) + (-12 - -7 - (-17 - -3)). 12 What is the value of (-5 - (-4 - (-7 - (-9 + 0)))) + 10? 11 -8 - (-18 - (0 - 6)) 4 What is the value of -6 - ((8 - 10 - 35) + 9)? 22 What is (92 - 69) + 0 + 0 - 19? 4 What is (4 - 0 - 2 - 18) + (-11 - -4)? -23 Evaluate 18 - (-6 + 12 - (6 - 10)). 8 What is the value of (6 - -9 - 21) + 22? 16 Calculate 28 - 27 - 10 - -7. -2 Evaluate 21 + (-26 - -39 - 17). 17 What is 19 + -27 + (18 - 0)? 10 What is the value of (-2 + -7 - -18) + -16 - -10? 3 What is the value of (-29 - -29) + (-1 + -8 - (1 - -2))? -12 What is (-126 - -110) + 0 + 22? 6 Calculate -17 - (-10 - (3 + -3 - 6) - 2). -11 Evaluate -25 + (33 - 52) + 16. -28 Calculate 6 + -11 - (-3 + (-3 - (1 + -10))). -8 Evaluate (-3 - (-13 + 7)) + 6 + -1. 8 What is the value of (4 + -8 - 3) + 4 + -1 - -13? 9 Evaluate 0 + -1 + 10 + -5 + -13. -9 Calculate (146 - 126) + (-12 - 2). 6 (-39 - -20) + 3 + 18 - 17 -15 Calculate -3 + (-4 - -7) - (14 - 14). 0 Calculate 0 + 3 + -66 + 51. -12 Evaluate -2 + 0 - 9 - (-695 - -666). 18 Calculate 5 + (0 - -1) + 0 + 2. 8 What is the value of (12 - 13) + -3 + 5 + -6? -5 What is the value of -26 - (-151 + 163 - (17 - -1))? -20 What is -75 + 92 - (28 - (-8 - 0))? -19 What is -8 - (8 + -4 + (-25 - (-6 - -4)))? 11 What is 3 + (7 - -2) - (-160 - -180) - -17? 9 Evaluate (-13 - (33 + -4)) + 33. -9 What is the value of 0 - -4 - (-9 - (2 + -6) - -2)? 7 What is 3 + (-31 - -27 - (-9 + 1))? 7 Calculate -6 + (-4 + 1 - (7 + -6) - 3). -13 What is -117 + 92 + (5 - 7 - 9)? -36 What is the value of 2 + 0 + -2 + -4 + (33 - 9)? 20 What is the value of 8 + (3 - (10 + -7 - -6))? 2 Evaluate 231 + -211 + 0 + -3 - -4. 21 Calculate 9 + -34 + 22 - (-1 - 1). -1 What is (6 - (17 - 3)) + 3 + 2 + -3? -6 -7 - 16 - (-60 + 26) 11 Evaluate -1 + 3 + -5 + 10 -
{ "pile_set_name": "DM Mathematics" }
363. Is c prime? False Let p(m) = m. Let q be (-3)/1*-4*1/(-6). Let d be p(q). Is (-6)/d + (8 - -308) prime? False Let x = -25 + -115. Is 46396/x*(-3 - (-2)/(-1)) prime? True Let x = 129 + -129. Is (x - 1) + -36*209/(-2) composite? False Let p(u) = -u + 1. Let j be (2 + -1)*3 + -7. Let t be p(j). Suppose -t*f + 303 = -1342. Is f a composite number? True Let b(g) = 553*g**2 - 32*g + 20. Let z(c) = 69*c**2 - 4*c + 3. Let n(t) = -2*b(t) + 17*z(t). Let q = 8 - 13. Is n(q) prime? False Is (-689282)/(-19) + (-9 - 6) prime? True Suppose -5*w = -10, -w - 411109 + 109032 = -3*h. Is h a composite number? False Let b(x) = 14734*x + 401. Is b(5) prime? True Let g = 1792 - 2284. Let s = 180 - 369. Let a = s - g. Is a composite? True Let o = 68 + -66. Suppose 3*z = -3*g + 5343, 3*g + o*z - 2894 = 2451. Is g composite? False Let j(w) = -4*w - 5. Let n be j(-2). Suppose n*s = 5*z - 449 + 2456, 0 = 3*z. Is s prime? False Let z(v) = 27*v**3 - 294*v**2 + 23*v - 23. Is z(20) a prime number? True Let g be (-10 + (-54)/(-8))/((-2)/8). Is ((-191802)/12)/g*-2 composite? False Suppose -5*r = -2*w - w + 538729, 0 = -5*w - 2*r + 897861. Is w prime? True Suppose -36*o + 33*o - 9 = 0. Is 149868/126 - ((-18)/14)/o a composite number? True Let d(v) = 44*v + 7. Let l be d(-3). Is (2 + 1192/(-10))/(50/l) prime? True Let y(b) = -313*b - 10. Let u be -3*6/(12/(-10)). Suppose 9*x = 4*x - u. Is y(x) a prime number? True Suppose -3*u + 9 = n - 1, 2*n = 2*u - 12. Suppose -105 + 25 = -u*z. Suppose -z = l - 30. Is l a prime number? False Let j be 466 + 0 + (-2)/1. Suppose 4*p - 8 = 0, p + 2914 = 8*t - 5*t. Suppose j = 2*s - t. Is s composite? True Suppose -n = -g - 162821, 7*g = 2*n - 222838 - 102804. Is n a composite number? False Let n(z) = 317*z**3 - 2*z**2 + 2*z + 1. Suppose 2*c + 12 = 4*u, -11 = -3*c - 2*u + 3. Is n(c) a prime number? False Suppose 5*q - 1976764 = 2*b, 159*q - 155*q = 5*b + 1581401. Is q composite? True Suppose 2*h + f = 822640, 0 = -h + 2*f + 510402 - 99097. Is h a composite number? True Let s(j) = -796*j - 39. Let t(x) = 199*x + 10. Let i(g) = 2*s(g) + 9*t(g). Is i(19) prime? True Let t = 55655 - 33946. Is t composite? True Let n be (-3 + -3 + (-19)/(-3))*23586. Is n/12 - (-5)/(-30) a prime number? False Suppose 0 = m - 3*w - 14, -2*w = -2*m - 6*w - 2. Suppose -11*o + m*o + 30 = 0. Suppose -2*d - 4*u + 874 = 0, 452 = d - o*u - 6. Is d composite? False Let h be 30/14 - (-7)/(-147)*3. Suppose -2*x = -2*w + 2596, 2*w - 5*x + h*x - 2596 = 0. Suppose -5 = 5*d, 3*d - 3235 = -4*v - w. Is v prime? False Let y(k) be the first derivative of -9 - 1/2*k**2 + 1061*k. Is y(0) prime? True Let c(b) = 2*b + 1. Let o(m) = -38174*m - 32. Let u(r) = -3*c(r) - o(r). Is u(1) a composite number? False Suppose 16*h = 18*h + 5*m - 38074, -5*h = 3*m - 95204. Is h prime? False Let c(t) = -639*t - 899. Is c(-2) a prime number? True Is 11156*309/21 - (666/63 + -11) composite? True Let v(t) = -t**3 + 5*t**2 - 4*t + 4. Let h be v(4). Suppose -h*p - 21 = -p. Let q(g) = 36*g**2 + 12*g + 5. Is q(p) prime? False Let d = -52 + 52. Let c(z) = z**3 - z**2 + z + 2. Let s be c(d). Suppose -2*h - s*v = -3*h + 885, h - v = 881. Is h a prime number? True Suppose -4*d + 2*l = 0, 14*d - 12*d + 4*l = -10. Is (d + 0)*(31 + -2442) a composite number? False Suppose -3*b + 15 = 2*b. Suppose -63 = 4*u + 3*p, 81 = -4*u - u - b*p. Is (-1)/(-6) - 31227/u a composite number? True Let q be ((-8)/(-3))/((-11)/165). Let j = 35 + q. Is 422/j*(-20)/8 a composite number? False Suppose 2*h = 1 - 9, -4*t + h + 20 = 0. Suppose 3*q - 1091 - 1386 = -t*o, 0 = 5*o - 5*q - 3140. Is o prime? False Is ((-6)/7 - (-3224)/1736) + (342790 - 0) a prime number? True Let m(o) = -o + 13. Let x be m(7). Suppose -p + 2131 - x = 0. Suppose v = i + 583, -2*i - 207 = -4*v + p. Is v a prime number? False Let f be 8/(0 + 2/(-431)). Suppose -258*k + 19602 = -264*k. Let t = f - k. Is t a composite number? False Let l = 1776 - -754. Suppose z - 751 = -2*a + 1770, z - l = -5*a. Suppose -1121 = -w + h, -5*h + z - 259 = 2*w. Is w prime? True Let h = 90906 - 50647. Is h composite? True Let b be (-65)/(-7) + 4/(-14). Let y be (2/3)/((-1)/b). Is ((-108)/24)/(y/8) a composite number? True Suppose 19*l + 8*l = 115425. Let w = -413 + l. Is w a prime number? False Let l = -25774 - -67823. Is l prime? False Let u(a) = -57*a - 10. Let o be u(-3). Let l = 466 + o. Let r = l - -140. Is r composite? True Let q(r) = -264*r - 23. Let k be q(-7). Suppose 0 = 5*c + 2*n + 446 - k, 0 = 3*c + 5*n - 816. Suppose 14*g - 2509 = c. Is g a prime number? True Is 10/(-220)*-11 + (-503364)/(-8) a prime number? True Suppose -26*r + 8 + 200 = 0. Is (r - 3 - -15041) + 1 a prime number? False Let o be 1*((-10)/15 - 2/(-3)). Suppose o = 2*n - 3*n + 1, 2*c + n = 15119. Is c a composite number? False Let n(c) = -757*c**3 + c**2 - c. Let h be (3 - 25/10)*2. Let z be n(h). Let p = 1800 + z. Is p a prime number? False Suppose 8*b = 4*b + 16. Suppose 4*l + 583 + 274 = j, -b*j = -3*l - 3480. Let v = -566 + j. Is v prime? True Suppose 0 = 5*m - 4*x - 16831, -3*m + 8035 = x - 2084. Is m composite? False Let n(t) = 4*t**3 - t**2 + 9. Let g be n(3). Let s = -19 + g. Is s a prime number? True Let v = -111 + 119. Suppose 0 = p + s - 451, 2*p - v*s = -12*s + 898. Is p prime? False Suppose -s - 1880640 = -3*x + 2*s, 5*x + 4*s - 3134337 = 0. Is x composite? True Let j = -7264 + 11730. Let r = 10081 - j. Is r a composite number? True Is 72/48 + (-3606825)/(-30) prime? False Suppose -r + 14*q + 30049 = 9*q, -5*q + 30009 = r. Is r composite? False Let x(z) = -959*z**3 + 2*z**2 + 4*z - 3. Let q(j) = j**3 - j**2 - j. Let m(s) = s**3 - 2*s**2 + 1. Let h be m(-1). Let t(o) = h*q(o) - x(o). Is t(1) prime? False Let g(l) = 12796*l - 436. Let v(d) = -3199*d + 109. Let r(p) = -2*g(p) - 9*v(p). Is r(4) prime? False Let c be 1 + 19228/5 - 212/(-530). Let w = c + 1738. Is w a prime number? False Suppose 7*y = -y + 40. Suppose -5*j + 0*s = 5*s + 15, 3*j - 4*s = y. Is ((-432)/(-30))/(6/440) + j prime? False Is -6*1234/(-12) + -4 prime? True Let w(y) = y - 1. Let a(o) = -2*o**3 + 2*o**2 + 7*o + 3. Suppose f + 2*f - z - 2 = 0, -2*z - 1 = -3*f. Let m(i) = f*a(i) - 4*w(i). Is m(-4) a prime number? False Let m(h) be the first derivative of h**6/360 - h**5/24 - 11*h**4/24 + h**3 + 8. Let a(u) be the third derivative of m(u). Is a(-6) composite? True Is ((-306)/(-17) - 24) + 10*203686/4 prime? False Let i(f) = 20*f**2 - 57*f - 1022. Is i(-45) a prime number? True Suppose -17*t = -91158 - 7561. Is t prime? True Suppose -77607122 = -358*q - 88*q. Is q composite? False Let p be (-2 - -16) + 60/10 + -5. Is p/3 - (-7504)/14 a prime number? True Suppose 2*m + 29*n = 25*n + 44, -2*n = 5*m - 150. Suppose 0 = -m*h + 1209841 + 676911. Is h prime? False Let t = 37171 + 45586. Is t composite? False Let z be -12 + (0 - (-2 - 0)). Let m = z - -13. Suppose p - 4*u = 301, -m = 6*u - 5*u. Is p composite? True Let l(g) = g**3 - 17*g**2 + 19*g - 20. Let q be l(17). Is (-877)/(q/51 + -6)*1 composite? True Suppose 0 = t + 18*v - 13817, 0 = 5*t + 3*v - 61931 - 6980. Is t prime? True Let t(b) = -2456*b + 5025. Is t(-68) prime? False Suppose -f + 6 = -1. Suppose 3*h = -2*u + 40 - 7, 0 = -5*u + 2*h + 54. Suppose f*w + 1795 = u*w. Is w a composite number? False Suppose -17*t = -23*t + 12. Suppose 5*p = 2*h + 24295, -4*p - t*h - 166 + 19620 = 0. Is p prime? True Let d = 3455 + 7485. Let r = -6951 + d. Is r a prime number? True Let k be -2 - ((13 - 8) + -535). Let n = 327 + -50. Let j = k - n. Is j prime? True Is (-1849707)/(-18) - (-15)/20*2/(-3) a prime number? True Let g(v) = 128*v**3 - 2*v**2 + 3*v + 5. Let a be g(-1). Is 1*((-157040)/a + 2/16) a prime number? False Is -2*1/4 - (6154467/2)/(-29) a prime number? False Suppose 4*p - 2*m + 50689 = m, -3*p + 5*m = 38025. Let r = p - -23849. Is r a composite number? True Let u(o) be the first derivative of -8*o**5/15 - 7*o**4/24 + 5*o**3/3 - 4. Let x(q) be the third derivative of u(q). Is x(-2) a composite number? True Suppose 4*o - 226 = -78. Suppose -o*u + 34*u = 1083. Let f = u - -770. Is f composite? False Let x = -70 + 94. Let w be x/(-4) + 2 - -7. Suppose -w*o = -128 - 1765. Is o a composite number? False Let i(w) = 31*w**3 + 35*w - 295. Is i(11) composite? False Let m be -2 + 3 + 3516 +
{ "pile_set_name": "DM Mathematics" }
by -63016? 1/15754 Divide 97606 by 2. 48803 1508 divided by 4 377 What is -15 divided by 80327? -15/80327 What is -211944 divided by 4? -52986 What is -52 divided by 504? -13/126 What is -52280 divided by 10456? -5 4 divided by -25643 -4/25643 Calculate 1875126 divided by -3. -625042 Calculate 906971 divided by -69767. -13 What is 54946 divided by -662? -83 Calculate -82350 divided by 10. -8235 What is -26409 divided by -6? 8803/2 Divide -28188 by -28188. 1 Calculate 1913940 divided by 343. 5580 -166144 divided by 176 -944 Calculate 43636 divided by -2. -21818 Divide 32221 by 1. 32221 Divide 128 by 15525. 128/15525 Divide -145044 by -9. 16116 What is -698868 divided by -4? 174717 1004320 divided by -5 -200864 Divide -39 by -4440. 13/1480 Divide -7280 by -3640. 2 Calculate -996 divided by 437. -996/437 Divide -39261425 by -5. 7852285 -33 divided by -303 11/101 What is -49 divided by 20058? -49/20058 -8638 divided by -617 14 What is 677480 divided by 4? 169370 Divide 13915 by 14. 13915/14 -4 divided by -442576 1/110644 Calculate 2 divided by 32921. 2/32921 0 divided by -5715 0 Calculate 308020 divided by 77005. 4 Calculate 226 divided by -56. -113/28 Divide 1491074 by 2. 745537 What is 594 divided by 835? 594/835 Calculate -1 divided by -54. 1/54 -288 divided by 91 -288/91 20 divided by 2476 5/619 Divide -236548 by -4. 59137 Divide -47 by -29665. 47/29665 What is 116628 divided by -6? -19438 Divide 19322 by -8. -9661/4 Calculate 0 divided by 10425. 0 Divide -909 by 301. -909/301 -2124 divided by -188 531/47 What is 914 divided by -53? -914/53 Divide 41 by -3677. -41/3677 What is -4 divided by -64423? 4/64423 Calculate 1824 divided by 53. 1824/53 What is -12096 divided by 336? -36 1188264 divided by -7716 -154 Calculate 494 divided by 56. 247/28 -57960 divided by 24 -2415 Divide 0 by 56558. 0 1 divided by -459938 -1/459938 Calculate -2720720 divided by 2. -1360360 102270 divided by 20454 5 Calculate -209506 divided by -2354. 89 Calculate 129954 divided by 33. 3938 Calculate -2 divided by -865. 2/865 Divide -607005 by 3. -202335 Divide 949 by 1371. 949/1371 What is 546903 divided by 182301? 3 Divide -8037 by -19. 423 0 divided by 463064 0 -1445 divided by 36 -1445/36 -292272 divided by 146136 -2 Calculate 90670 divided by 18134. 5 What is 8 divided by -51434? -4/25717 Calculate 233600 divided by 1600. 146 Calculate 507 divided by 311. 507/311 What is -1860 divided by -12? 155 What is 241984 divided by -60496? -4 Calculate -41381 divided by -1. 41381 What is 22168 divided by 11084? 2 Calculate -1042578 divided by 9. -115842 -435568 divided by 15556 -28 Divide -342140 by 342140. -1 What is -179659 divided by 1? -179659 Calculate -93684 divided by 148. -633 What is -523328 divided by -20128? 26 What is -5539 divided by 4? -5539/4 65985 divided by 265 249 Divide 7700 by -44. -175 Divide -4 by -48859. 4/48859 What is 17070 divided by -1? -17070 Calculate -284097 divided by 1. -284097 5 divided by 59895 1/11979 Divide 408555 by 3. 136185 What is -2004 divided by 501? -4 What is 113051 divided by 5? 113051/5 Calculate 5421 divided by 13. 417 Divide -4 by -177217. 4/177217 -235580 divided by 117790 -2 -248 divided by -1041 248/1041 -62 divided by -283 62/283 What is -118990 divided by 10? -11899 189 divided by 4507 189/4507 What is -22734 divided by -11? 22734/11 What is -14184 divided by 1576? -9 What is -8 divided by -141083? 8/141083 38508 divided by -3 -12836 18575 divided by 5 3715 -9495 divided by -114 3165/38 Divide -1286670 by -8355. 154 Calculate -11323 divided by -1. 11323 Calculate -38 divided by 967. -38/967 What is -127652 divided by -388? 329 What is 5 divided by 13250? 1/2650 Divide 0 by -1298746. 0 Divide -61316 by 4. -15329 Divide -57824 by 6. -28912/3 Calculate -150 divided by -6256. 75/3128 Calculate -16317 divided by -10. 16317/10 What is -646114 divided by -2429? 266 What is 2 divided by -37318? -1/18659 Divide 25656 by -20. -6414/5 What is 1 divided by 26028? 1/26028 Calculate -799 divided by 1923. -799/1923 What is -160 divided by 6112? -5/191 What is -1154 divided by 52? -577/26 What is -1008902 divided by -10733? 94 What is -520 divided by 1737? -520/1737 Divide -1927401 by 3. -642467 0 divided by -36825 0 -4 divided by -26038 2/13019 349713 divided by -5733 -61 -1164136 divided by 8 -145517 Divide 4736445 by 395. 11991 Divide -2600 by 520. -5 Divide -5 by 121818. -5/121818 Divide 5715702 by -18. -317539 3842 divided by -38 -1921/19 -2588880 divided by -53935 48 0 divided by -113418 0 Calculate 79577 divided by 79577. 1 What is 140 divided by -15739? -140/15739 3798970 divided by 245 15506 -91948 divided by -4 22987 What is -34 divided by -286? 17/143 What is 784213 divided by 3? 784213/3 What is 75225 divided by -51? -1475 143 divided by 13814 143/13814 Calculate 494722 divided by 247361. 2 0 divided by 36886 0 Divide 613 by -90. -613/90 Divide -28 by 2141. -28/2141 Calculate -4 divided by -4870. 2/2435 Calculate 2 divided by 9400. 1/4700 Divide 1 by -3893. -1/3893 -97 divided by 138 -97/138 -559 divided by -1 559 Calculate 461870 divided by -1. -461870 Calculate 323 divided by 437. 17/23 What is 0 divided by -59404? 0 Calculate 257305 divided by -51461. -5 What is -47801 divided by 3? -47801/3 Divide 98745 by 2. 98745/2 Calculate 322518 divided by -6. -53753 Divide -5 by -6552. 5/6552 3568474 divided by 274498 13 216 divided by 4 54 -4 divided by 32887 -4/32887 Calculate 86933 divided by 7903. 11 Divide -317755 by 63551. -5 -466380 divided by 93276 -5 Calculate 19 divided by -6795. -19/6795 Calculate -59201 divided by -1117. 53 What is -8 divided by 710? -4/355 -308172 divided by 6 -51362 Calculate -51 divided by 1457. -51/1457 Divide 2 by -426748. -1/213374 Divide -6435 by -5. 1287 -15021 divided by 9 -1669 Divide 11 by -2902. -11/2902 What is -20885 divided by -20885? 1 What is 2 divided by 150621? 2/150621 484396 divided by 436 1111 -261488 divided by -65372 4 Divide 33 by -30494. -33/30494 Divide 10229 by 2. 10229/2 Divide 133 by 626. 133/626 Divide 5 by 2420. 1/484 172600 divided by 2 86300 -9043753 divided by -3 9043753/3 -290261 divided by -3 290261/3 Calculate 189389 divided by 6. 189389/6 What is 29900 divided by -92? -325 What is 654528 divided by 5844? 112 1795 divided by -314 -1795/314 Calculate -53328 divided by 13332. -4 What is 0 divided by 28847? 0 Calculate -190323 divided by -190323. 1 85462 divided by -494 -173 Calculate -218490 divided by 5. -43698 Divide -71346 by -759. 94 Divide -144717 by 144717. -1 Divide 4 by -38594. -2/19297 What is -347170 divided by -233? 1490 What is 222940 divided by 785? 284 3402 divided by 74 1701/37 What is -5486688 divided by 18? -304816 -232 divided by -1145 232/1145 Divide -248292 by -1. 248292 Calculate -101844 divided by -1886. 54 Calculate -79217 divided by 79217. -1 Divide 0 by -226158. 0 -3934871 divided by -4 3934871/4 -30018 divided by -1 30018 111510 divided by -22302 -5 Divide 25070 by -10. -2507 -21574 divided by -3 21574/3 -1944 divided by 8 -243 What is -152103 divided by -3? 50701 Calculate -718358 divided by -43. 16706 Divide -477630 by -159210. 3 What is -101289 divided by -57? 1777 37605 divided by 12535 3 Calculate 104006 divided by 119. 874 What is -1922152 divided by -4? 480538 What is -14640 divided by 610? -24 Calculate 1275 divided by -13. -1275/13 18970 divided by 51 18970/51 What is -455757 divided by -1? 455757 What is -1625516 divided by 52436? -31 5 divided by -52197 -5/52197 What is -21 divided by -8742? 7/2914 What is -623 divided by -10? 623/10 What is 1399620 divided by -1? -1399620 Calculate 936852 divided by 44612. 21 34358 divided by 2 17179 203388 divided by 997 204 What is 1245790 divided by 910? 1369 Calculate -26 divided by 5437. -26/5437 -270 divided by -1 270 What is 9519 divided by -6? -3173/2 Calculate 48825 divided by -525. -93 2 divided by -247724 -1/123862 33 divided by 109 33/109 What is 2682326 divided by -6? -1341163/3 What is 315900 divided by -36? -8775 Calculate -2377347 divided by -3. 792449 Divide 388500 by -15. -25900 Divide -1557 by -14. 1557/14 152670 divided by 21810 7 154985 divided by 139 1115 Calculate -91609 divided by 7. -13087 Divide 4 by -6163. -4/6163 822 divided by -116 -411/58 Divide -198 by 3986. -99/1993
{ "pile_set_name": "DM Mathematics" }
hat is 13 (base 12) in base 13? 12 Convert -13 (base 16) to base 12. -17 Convert -13 (base 6) to base 12. -9 Convert -100 (base 2) to base 3. -11 -11 (base 11) to base 5 -22 What is 2 (base 5) in base 4? 2 0 (base 8) to base 13 0 Convert -a6 (base 13) to base 9. -161 -40 (base 10) to base 11 -37 What is 1152 (base 6) in base 12? 1b8 1 (base 6) to base 14 1 Convert -2 (base 8) to base 11. -2 Convert 5a (base 16) to base 3. 10100 What is 6 (base 9) in base 6? 10 What is 3003 (base 4) in base 11? 168 What is 52 (base 9) in base 6? 115 -15 (base 7) to base 16 -c What is -45 (base 13) in base 15? -3c Convert -9 (base 11) to base 9. -10 -3 (base 4) to base 9 -3 Convert -14 (base 11) to base 13. -12 44 (base 7) to base 11 2a -5 (base 6) to base 4 -11 What is -6 (base 15) in base 6? -10 Convert 3 (base 8) to base 11. 3 Convert 57 (base 9) to base 11. 48 Convert 13 (base 9) to base 12. 10 Convert -19 (base 12) to base 7. -30 Convert 17 (base 9) to base 14. 12 What is 88 (base 14) in base 3? 11110 What is -1242 (base 5) in base 4? -3011 Convert 0 (base 5) to base 10. 0 What is -6 (base 10) in base 8? -6 Convert 0 (base 2) to base 14. 0 Convert 1 (base 2) to base 15. 1 What is d (base 16) in base 7? 16 -102 (base 10) to base 9 -123 -2 (base 10) to base 7 -2 What is -16 (base 10) in base 14? -12 What is -3 (base 13) in base 7? -3 Convert -303 (base 5) to base 13. -60 What is -161 (base 11) in base 4? -2330 Convert 10 (base 6) to base 9. 6 Convert 55 (base 15) to base 5. 310 Convert 1 (base 14) to base 4. 1 What is 0 (base 9) in base 7? 0 Convert 4 (base 12) to base 14. 4 Convert -4 (base 13) to base 8. -4 Convert -3 (base 10) to base 14. -3 What is 11 (base 7) in base 13? 8 47 (base 8) to base 15 29 What is -15 (base 9) in base 12? -12 a (base 13) to base 9 11 3 (base 16) to base 4 3 Convert 224 (base 6) to base 8. 130 15 (base 7) to base 6 20 Convert 1 (base 5) to base 14. 1 Convert -6 (base 15) to base 10. -6 Convert -3001 (base 4) to base 13. -11b -e (base 15) to base 4 -32 46 (base 11) to base 6 122 What is 1c (base 15) in base 16? 1b Convert 19 (base 10) to base 16. 13 What is 5 (base 11) in base 3? 12 -101 (base 2) to base 4 -11 -11 (base 6) to base 5 -12 Convert -111 (base 10) to base 12. -93 -75 (base 14) to base 15 -6d What is -22222 (base 3) in base 4? -3302 What is -111 (base 2) in base 5? -12 What is 147 (base 13) in base 10? 228 What is -134 (base 7) in base 8? -112 What is 3 (base 10) in base 9? 3 1 (base 6) to base 2 1 2 (base 15) to base 12 2 What is 1 (base 9) in base 3? 1 0 (base 16) to base 8 0 What is -44 (base 10) in base 8? -54 Convert -86 (base 12) to base 4. -1212 Convert 5 (base 9) to base 4. 11 -4 (base 5) to base 3 -11 445 (base 6) to base 10 173 23 (base 4) to base 15 b Convert 2 (base 3) to base 14. 2 45 (base 16) to base 8 105 -5 (base 13) to base 16 -5 What is -63 (base 12) in base 15? -50 What is -136 (base 8) in base 10? -94 101 (base 3) to base 7 13 Convert -1b (base 14) to base 13. -1c 2 (base 9) to base 12 2 1 (base 5) to base 8 1 Convert 63 (base 11) to base 10. 69 0 (base 15) to base 14 0 371 (base 8) to base 13 162 Convert -1 (base 7) to base 8. -1 Convert 81 (base 13) to base 10. 105 Convert 1 (base 4) to base 5. 1 Convert 128 (base 11) to base 8. 227 What is 19 (base 16) in base 6? 41 What is 1212 (base 3) in base 6? 122 What is -3 (base 4) in base 15? -3 What is -2 (base 14) in base 7? -2 2 (base 7) to base 11 2 What is -9 (base 13) in base 6? -13 What is -1 (base 2) in base 10? -1 What is -65 (base 7) in base 4? -233 Convert -30 (base 10) to base 9. -33 -9 (base 11) to base 10 -9 145 (base 8) to base 14 73 Convert 51 (base 15) to base 10. 76 What is -10 (base 2) in base 7? -2 Convert -2220 (base 3) to base 10. -78 What is 0 (base 11) in base 8? 0 10 (base 5) to base 10 5 What is 0 (base 4) in base 3? 0 Convert -5 (base 8) to base 13. -5 What is 3 (base 16) in base 4? 3 Convert 1110 (base 2) to base 11. 13 What is -45 (base 13) in base 5? -212 34 (base 11) to base 9 41 Convert -100 (base 3) to base 10. -9 44 (base 15) to base 9 71 What is 11 (base 6) in base 12? 7 100121 (base 3) to base 10 259 Convert -1 (base 11) to base 9. -1 -10010010 (base 2) to base 5 -1041 -a7 (base 12) to base 16 -7f What is -10 (base 9) in base 6? -13 What is 2 (base 4) in base 5? 2 Convert 101 (base 2) to base 13. 5 What is 5 (base 16) in base 7? 5 Convert 101011000 (base 2) to base 15. 17e 1 (base 11) to base 8 1 What is 4 (base 5) in base 2? 100 What is 8 (base 9) in base 13? 8 What is 86 (base 13) in base 15? 75 131 (base 9) to base 7 214 Convert 2 (base 5) to base 13. 2 330 (base 6) to base 14 90 2 (base 3) to base 10 2 Convert f6 (base 16) to base 4. 3312 30 (base 7) to base 15 16 What is -154 (base 7) in base 3? -10021 What is -14 (base 7) in base 11? -10 Convert 2b (base 15) to base 8. 51 -2 (base 8) to base 2 -10 -111 (base 4) to base 14 -17 -54 (base 8) to base 7 -62 Convert -22 (base 9) to base 15. -15 Convert -11010 (base 2) to base 9. -28 Convert 1 (base 12) to base 4. 1 Convert 3 (base 16) to base 6. 3 Convert -4 (base 14) to base 10. -4 62 (base 13) to base 6 212 What is 19 (base 12) in base 5? 41 Convert a1 (base 12) to base 6. 321 -2 (base 4) to base 5 -2 What is 9 (base 15) in base 10? 9 Convert -503 (base 6) to base 9. -223 Convert 24 (base 5) to base 15. e What is 14 (base 9) in base 12? 11 Convert 17 (base 15) to base 14. 18 Convert 2 (base 9) to base 13. 2 Convert -3 (base 9) to base 13. -3 What is -2 (base 5) in base 10? -2 What is 46 (base 16) in base 7? 130 What is -145 (base 6) in base 11? -5a What is 2a (base 14) in base 7? 53 What is 25 (base 11) in base 7? 36 Convert 2 (base 14) to base 15. 2 10101 (base 3) to base 2 1011011 What is -27 (base 8) in base 11? -21 Convert -1 (base 9) to base 4. -1 Convert -8 (base 16) to base 6. -12 What is 17 (base 8) in base 16? f -5 (base 11) to base 16 -5 What is 178 (base 13) in base 2? 100001100 What is 11 (base 2) in base 9? 3 What is -1 (base 11) in base 8? -1 -213 (base 7) to base 9 -130 101 (base 7) to base 3 1212 What is 1001 (base 3) in base 15? 1d What is 11 (base 11) in base 16? c -3 (base 8) to base 11 -3 Convert 6 (base 12) to base 7. 6 10 (base 3) to base 2 11 -b (base 13) to base 16 -b What is -50 (base 11) in base 6? -131 What is -2 (base 5) in base 10? -2 What is -1001011 (base 2) in base 4? -1023 Convert 110 (base 3) to base 10. 12 Convert 10 (base 3) to base 6. 3 What is 443 (base 5) in base 7? 234 What is 1 (base 8) in base 12? 1 -10 (base 13) to base 16 -d Convert 20 (base 8) to base 6. 24 What is -314 (base 7) in base 9? -185 Convert a (base 12) to base 14. a Convert 1 (base 16) to base 4. 1 Convert -c (base 13) to base 16. -c Convert -5d (base 14) to base 15. -58 Convert 9 (base 15) to base 12. 9 203 (base 4) to base 8 43 Convert 11011 (base 2) to base 15. 1c What is 2042 (base 5) in base 4? 10100 What is 20 (base 11) in base 8? 26 Convert 111 (base 2) to base 12. 7 55 (base 14) to base 2 1001011 What is 1 (base 6) in base 15? 1 What is -33 (base 13) in base 5? -132 10 (base 4) to base 8 4 3 (base 11) to base 14 3 0 (base 5) to base 9 0 4 (base 13) to base 8 4 Convert -11 (base 2) to base 15. -3 What is -6 (base 15) in base 14? -6 What is 1 (base 3) in base 11? 1 Convert -5 (base 8) to base 13. -5 a (base 15) to base 11 a -173 (base 12) to base 3 -22120 What is -8 (base 15) in base 2? -1000 Convert -10000 (base 2) to base 15. -11 2 (base 9) to base 16 2 -10 (base 5) to base 13 -5 7e (base 16) to base 4 1332 Convert 68 (base 9) to base 8. 76 Convert -12 (base 3) to base 4. -11 -24 (base 13) to base 10 -30 What is 7 (base 11) in base 10? 7 What is 51 (base 13) in base 4? 1002 What is 50 (base 14) in base 6? 154 What is -151 (base 8) in base 4? -1221 Convert 3 (base 16) to base 14. 3 Convert -205 (base 8) to base 7. -250 7 (base 11) to base 10 7 2 (base 5) to base 2 10 Convert -5 (base 14) to base 3. -12 12 (base 7) to base 10 9 Convert -4 (base 15) to base 13. -4 What is 38 (base 15) in base 4? 311 What is 13 (base 15) in base 2? 10010 Convert -10001 (base 2) to base 9. -18 a (base 16) to base 10 10 -14 (base 7) to base 12 -b Convert 1021 (base 3) to base 14. 26 What is -77 (base 9) in base 7? -130 Convert -2 (base 15) to base 5. -2 Convert -2 (base 8
{ "pile_set_name": "DM Mathematics" }
he closest to -0.1 in -7, w, -3/4? -3/4 Let l = -31.25 - -31. Let v = 0.15 - l. Suppose 2*s + 2 = 4. Which is the nearest to s? (a) v (b) 3/8 (c) -0.1 a Let q = 4.4 - 4. Let x = 3.13 + -0.13. Which is the nearest to 2? (a) -0.5 (b) x (c) q b Let q = -5 - -3. Which is the nearest to q? (a) -5 (b) -2/9 (c) -0.3 c Let r be (-6 - -8)*3/15. Let d be 1 - (12/(-9))/(-4). Which is the nearest to d? (a) r (b) -1 (c) -0.1 a Suppose 0 = h - 5*h, -d + 4*h - 3 = 0. Let m = -3.4 + 4. Let u = -0.2 + m. Which is the nearest to -2? (a) -0.1 (b) u (c) d c Let h be (-26)/30 + (-2)/(-3). Let t = 1748/7 - 15706/63. Let b = t - 4/21. What is the nearest to h in b, -0.2, -1/7? -0.2 Let o = 4.99 - -0.01. Which is the nearest to -1/2? (a) -1/5 (b) -1 (c) o a Let s = 270 + -1893/7. Let r = -3.7 + 3.5. Which is the nearest to -2? (a) r (b) -5 (c) s c Let t = 88 + -85. Which is the nearest to 0? (a) t (b) 1 (c) -10/7 b Suppose -4*v - 8 = 0, -2*z + v = -4*v - 22. Let u be 8/90*9/z. Let d = -1199/2015 + -2/403. Which is the closest to 0? (a) d (b) u (c) 4 b Let g = -0.51 + 0.01. Let z = -1.2 + 0.2. Let f = 0.35 - 1.35. What is the closest to f in g, z, 1/6? z Let q = 64 + -59. Which is the closest to 4? (a) 0.4 (b) 0.3 (c) q c Let x = -1/42 - -5/14. Let q = 1 - 1.3. Let y = q + -3.7. What is the closest to 0 in y, 5, x? x Let t = -2.3 + 2. Let n = 30 - 28. Which is the nearest to t? (a) 3 (b) 0.5 (c) n b Let q = 0.23 + 0.17. What is the nearest to 0.1 in 3/5, 1, q? q Suppose 3*f = -4*x - 33 - 15, 3*x - 15 = 2*f. Let g(b) = -b**2 - 7*b - 3. Let j be g(-5). Let i be 16/f*(-3)/j. What is the closest to 0.1 in i, 2, 0.3? 0.3 Let t be ((-1)/(-7))/((-9)/45) + 1. Which is the nearest to t? (a) -5 (b) 0.12 (c) -1/10 b Suppose -3*m + 51 = 5*g, m + 0 = -5*g + 47. Let r be (4/(-14))/(g/(-7)). What is the nearest to 0 in 1, r, 4? r Let r be (-19)/5 + (2 - -2). Let x = 1.5 + -1. What is the closest to -2/3 in r, 1/9, x? 1/9 Let g = 0.29 + -0.29. Which is the closest to g? (a) -1 (b) -1/4 (c) 0.5 b Let f be 2/(-8) - 1/(-4). Let c = 19/5 + -4. Let b = 1 + 2. What is the closest to 0.1 in c, b, f? f Let y = -1 - 0. Let x be (3*-7)/(y - 0). Let l be ((-1)/3)/(x/18). What is the closest to l in -0.1, -1, -0.5? -0.1 Let y = 0.67 + -0.27. Which is the nearest to 0? (a) y (b) -2 (c) 0.2 c Let h = -0.4 - 2.6. Which is the closest to -0.1? (a) -4 (b) h (c) 1 c Let x = 0.4 - 0.5. Let u(h) = -3*h + 2. Let z be u(2). What is the closest to -1/4 in z, x, 1? x Let v = -2.5 - -1.5. What is the closest to v in -2/3, -0.2, 0.4? -2/3 Let m = 1.2 + -1. Which is the closest to -8? (a) m (b) -4 (c) -5 c Let c = 4 + -3.7. Let p be (315/6)/(-7) + 8. What is the nearest to p in 5, 5/3, c? c Let l = 0.4 + -1.4. Let f be (-5)/4*(-6)/75*-4. Which is the nearest to l? (a) f (b) -2 (c) -3/5 c Let d be 81/30 - 2/10. What is the nearest to 6 in d, -3, -2/15? d Let z = -0.57 - -0.6. Let u = -2.27 - z. Let f = u - -2. Which is the closest to 0? (a) f (b) -0.4 (c) -4 a Let j be ((-1794)/36)/(-13) - 4. Suppose 0 = 2*w - w + 5*f - 25, 0 = -5*w + f - 5. What is the closest to 2/9 in w, j, 2? w Let y = 3/25 - -41/75. Let s be (-2)/((-14)/10 - -1). Let n = 10 - s. Which is the closest to y? (a) n (b) -1 (c) -0.3 c Let k = 4 - 7.9. Let f = k + 4. Let z be (3/5)/((-8)/20). Which is the closest to f? (a) z (b) 1/6 (c) 2 b Let j = -13.8 - -13.8. What is the closest to 1 in -0.3, j, -8? j Let j = 8 - 16. Let f = -13 + 0. Let o = j - f. Which is the nearest to 0? (a) -4/3 (b) -3 (c) o a Let s = 2 + -3. Let z = -2/33 + 41/132. What is the nearest to -2/5 in -0.2, z, s? -0.2 Let i = 1.2 + -0.2. Let h = 6 - 2. Let c = h - 3.9. What is the nearest to c in -3, i, -0.4? -0.4 Let u be ((-15)/9 + 2)*9. Suppose 0*c + 9 = -u*c. What is the nearest to 1/3 in c, -1, -0.3? -0.3 Let t = 0.5 - 1.5. Which is the closest to 2/7? (a) 2/5 (b) t (c) -6 a Let n = 0.3 - 0.2. Suppose -2*q - 20 = 2*q + x, 2*q - 3*x - 4 = 0. What is the nearest to n in q, -0.4, 0.3? 0.3 Let g be 1/(-7) + -1*(-4)/(-28). Which is the closest to -0.2? (a) -2 (b) g (c) 1/2 b Suppose 3*y = 6, 5*u - 2*y - 1 + 5 = 0. Let p = -8 - -11. Which is the nearest to u? (a) -1/2 (b) 0.2 (c) p b Let m = 4.9 - -0.1. Which is the closest to -0.1? (a) -0.1 (b) -0.3 (c) m a Let f = -38 + 36. What is the closest to 1 in -2/9, -1/2, f? -2/9 Let j be (4 + 153/(-39))*2. Which is the nearest to 0? (a) j (b) 3 (c) -1/9 c Let j = 27 - 137/5. Let o = -72 + 1366/19. What is the nearest to 0 in 5, o, j? o Let o = -209/3 + 69. What is the closest to o in 0, -3/7, -5? -3/7 Let x(w) = w**3 - w**2 + w. Let u be x(0). Let q(z) = z - 1. Let j be q(-2). Which is the nearest to u? (a) -1/2 (b) j (c) 5 a Let o(d) = 2*d - 3. Let l be o(4). Let x = 7.3 + -5.3. Which is the closest to x? (a) l (b) -3 (c) -0.5 c Let u = -6.4 - -6.3. Let s be (-2)/(-3)*(-3)/4. What is the closest to u in s, 2, 1/4? 1/4 Let x be (4 - 4)*(-5)/10. Let r = -45/4 + 151/12. Which is the nearest to x? (a) r (b) 3 (c) -2/17 c Let n = -0.65 + 0.65. Let t = 3 + -3.1. Let b = 0 - t. What is the closest to n in 1, b, 4? b Let x = -4.78 + -0.22. What is the nearest to 0 in 3, -4, x? 3 Let h = 1.4 - -3.6. Let j be 2/6 + (-2)/3. What is the nearest to -2/7 in 0, h, j? j Let q = -0.168 + 4.168. What is the closest to 0.2 in -4, q, 1/6? 1/6 Let x = 65 + -62. Which is the closest to -1/14? (a) 0.1 (b) x (c) -2 a Let x = -4.7 + 4. Let s = -0.79 - x. Let q = s + -0.01. Which is the nearest to q? (a) 5 (b) 0 (c) 3 b Let i = 1.5 + -2. Let z be (-3)/((-150)/(-95)) + 6/4. Which is the closest to -1? (a) 5 (b) i (c) z b Let g = -0.02 + 0.42. Let z = -17 + 17.3. Which is the nearest to 0? (a) -2 (b) z (c) g b Let q be (-1 + (-6)/(-14))/((-4)/4). What is the closest to -1/2 in -5, q, 0? 0 Let t = -119.1 + 120. Which is the nearest to 0? (a) 2/5 (b) t (c) 2 a Let i = -7.3 + 16.3. What is the nearest to -2/3 in 1, -2/13, i? -2/13 Let v = 2/253 - 763/506. Which is the nearest to 0.1? (a) v (b) -1 (c) -0.6 c Let w = -0.75 - -0.8. Let f = w + -0.1. Let s = -0.15 + f. What is the nearest to 1/3 in s, 0, -0.4? 0 Let r = 3.3 - 5. Let u = 0.11 - -0.19. Let b = u - r. What is the nearest to b in 2, 5, -0.1? 2 Suppose 0 = -y - 0*y + 1. What is the nearest to y in -0.5, 4, 0.1? 0.1 Let x = -2/33 + -29/66. What is the nearest to x in -1, 1/5, -4? -1 Let k = 5.8 + -4.8. Which is the nearest to k? (a) -2 (b) -1 (c) -11 b Let t = 13 - 63/5. Which is the closest to t? (a) -3 (b) 0.4 (c) -0.6 b Let x = -8 - -8.3. Let m = 1.9 + -3.2. Let k = m + x. What is the closest to 1/4 in -0.5, 3, k? -0.5 Let o(d) = d**3 + 4*d**2 + d + 4. Let h be o(-4). Let u = -0.02 - 0.38. Suppose 0*b = -3*b + 2*z - 3, 5*b + 4 = 3*z. What is the nearest to h in u, 3, b? u Let r be 3/(-4) + 1/(-4). Let n = -0.024 - 1.976. Which is the nearest to -2? (a) r (b) n (c) 3 b Let g = -4.3 - -4. Let w = g - 4.7. Let t = -0.15 + 0.25. Which is the closest to 0.1? (a) w (b) 2/5 (c) t c Let f = -8 - -7.2. Let n = 1 + f. Let u = -1.8 - n. Which is the nearest to -2/5? (a) u (b) -3 (c) -3/5 c Let q = 33 - 31. Which is the nearest to q? (a) -6 (b) -4 (c) -0.1 c Suppose 6*o + 0 - 6 = 0. What is the nearest to o in -1/59, -0.3, -0.2? -1/59 Let l = 0.3 + 0.2. Which is the closest to -2/15? (a) l (b) 0.2 (c) -0.2 c Let p = -0.01 - -0.01. Let m = 3.3 + -0.3. Let x = m - 2.8. Which is the closest to x? (a) -1 (b) p (c) 1/5 c Let y = -57.7 - -57. Which is the nearest to 2/7? (a) -1 (b) 0.5 (c) y b Let x = -25.4 + 25. Let k be (-1)/(-5) + 9/(-20). Which is the closest to 0.1? (a) x (b) 0 (c) k b Let i = -174 - -1564/9. Let l(z) = -z - 1. Let w be (0*(-3)/(-9))/1. Let f be l(w). Which is the closest to 0? (a) 4 (b) i (c) f b Let r = 0 + 0.2. Let w = -0.7 + r. What is the closest to -1 in w, -1/9, 2/9? w Let z = 1 - 5. Suppose -4*f + 4*m - 72 = 0, -3*f + 74 = -8*f + m. Let a be (-2)/(-3)*6/f. What is the closest to a in z, -1/4, 2/7? -1/4 Let b = 60 - 59.7. What is the closest to 0 in 0.07, b, 2? 0.07 Let o = 0.35 - -0.05. Which is the nearest to 1/2? (a) 0.3 (b) 0.5 (c) o b Let c be (6/4 + -1)*-1. Let i be (-4)/(-6)*(-4)/24. Let o = -1.9 + 4.9. What is the closest to c in i, -0.1, o
{ "pile_set_name": "DM Mathematics" }
ny minutes are there between 11:01 PM and 2:24 AM? 203 What is 231 minutes after 5:57 AM? 9:48 AM How many minutes are there between 7:03 PM and 9:55 PM? 172 What is 570 minutes before 10:53 PM? 1:23 PM What is 176 minutes before 4:35 PM? 1:39 PM How many minutes are there between 10:56 AM and 7:33 PM? 517 How many minutes are there between 2:01 PM and 5:28 PM? 207 How many minutes are there between 4:15 AM and 9:40 AM? 325 What is 167 minutes after 1:59 PM? 4:46 PM How many minutes are there between 7:10 PM and 1:26 AM? 376 What is 432 minutes after 8:08 AM? 3:20 PM What is 195 minutes after 12:20 PM? 3:35 PM How many minutes are there between 4:32 AM and 4:09 PM? 697 How many minutes are there between 8:56 PM and 10:40 PM? 104 How many minutes are there between 2:32 AM and 4:40 AM? 128 How many minutes are there between 1:39 AM and 1:12 PM? 693 How many minutes are there between 3:46 AM and 6:51 AM? 185 What is 610 minutes before 1:45 PM? 3:35 AM How many minutes are there between 9:53 AM and 1:53 PM? 240 How many minutes are there between 12:09 PM and 11:38 PM? 689 How many minutes are there between 6:33 AM and 6:10 PM? 697 What is 345 minutes after 1:18 PM? 7:03 PM What is 665 minutes before 6:26 AM? 7:21 PM How many minutes are there between 6:40 PM and 8:46 PM? 126 What is 568 minutes after 9:42 PM? 7:10 AM How many minutes are there between 9:09 AM and 5:55 PM? 526 What is 586 minutes before 3:28 PM? 5:42 AM How many minutes are there between 10:42 PM and 7:19 AM? 517 What is 470 minutes after 6:45 AM? 2:35 PM What is 664 minutes after 9:54 AM? 8:58 PM How many minutes are there between 3:06 PM and 5:07 PM? 121 How many minutes are there between 10:11 PM and 12:27 AM? 136 What is 149 minutes after 11:01 AM? 1:30 PM What is 4 minutes before 10:49 PM? 10:45 PM How many minutes are there between 6:06 AM and 1:16 PM? 430 How many minutes are there between 11:28 PM and 4:17 AM? 289 What is 690 minutes after 1:22 PM? 12:52 AM How many minutes are there between 1:59 AM and 4:44 AM? 165 How many minutes are there between 8:41 AM and 8:35 PM? 714 How many minutes are there between 12:07 PM and 9:40 PM? 573 How many minutes are there between 2:03 PM and 9:37 PM? 454 How many minutes are there between 7:31 AM and 4:19 PM? 528 How many minutes are there between 4:06 PM and 8:18 PM? 252 How many minutes are there between 7:30 AM and 6:46 PM? 676 How many minutes are there between 5:18 AM and 9:16 AM? 238 How many minutes are there between 11:48 PM and 11:43 AM? 715 How many minutes are there between 11:01 PM and 8:46 AM? 585 How many minutes are there between 12:08 PM and 10:51 PM? 643 How many minutes are there between 2:56 PM and 1:16 AM? 620 What is 661 minutes before 11:35 AM? 12:34 AM How many minutes are there between 11:29 AM and 8:46 PM? 557 What is 123 minutes before 11:34 AM? 9:31 AM How many minutes are there between 9:07 PM and 10:39 PM? 92 What is 584 minutes before 6:48 PM? 9:04 AM What is 679 minutes before 2:38 AM? 3:19 PM How many minutes are there between 10:43 PM and 1:19 AM? 156 What is 120 minutes after 12:37 AM? 2:37 AM What is 457 minutes after 12:09 AM? 7:46 AM How many minutes are there between 2:09 AM and 8:48 AM? 399 How many minutes are there between 7:15 AM and 4:56 PM? 581 How many minutes are there between 7:47 PM and 7:20 AM? 693 How many minutes are there between 1:09 AM and 2:16 AM? 67 How many minutes are there between 11:09 AM and 1:33 PM? 144 What is 156 minutes after 1:55 AM? 4:31 AM How many minutes are there between 10:09 AM and 6:32 PM? 503 How many minutes are there between 2:24 AM and 8:19 AM? 355 How many minutes are there between 8:17 PM and 12:32 AM? 255 What is 528 minutes after 3:10 PM? 11:58 PM How many minutes are there between 4:44 PM and 11:12 PM? 388 What is 611 minutes before 5:41 PM? 7:30 AM How many minutes are there between 11:25 AM and 5:37 PM? 372 How many minutes are there between 12:02 AM and 10:25 AM? 623 How many minutes are there between 11:11 AM and 1:44 PM? 153 What is 578 minutes before 8:05 PM? 10:27 AM How many minutes are there between 5:29 PM and 4:33 AM? 664 What is 507 minutes after 6:24 PM? 2:51 AM How many minutes are there between 11:33 PM and 2:13 AM? 160 What is 432 minutes after 4:02 PM? 11:14 PM What is 327 minutes after 10:35 AM? 4:02 PM How many minutes are there between 7:59 PM and 7:16 AM? 677 What is 136 minutes before 11:16 PM? 9:00 PM What is 298 minutes after 6:09 PM? 11:07 PM What is 524 minutes after 5:15 AM? 1:59 PM How many minutes are there between 10:03 PM and 9:03 AM? 660 What is 194 minutes after 10:17 AM? 1:31 PM How many minutes are there between 10:48 PM and 8:39 AM? 591 What is 705 minutes before 12:52 AM? 1:07 PM What is 492 minutes after 4:29 PM? 12:41 AM How many minutes are there between 6:07 PM and 1:31 AM? 444 How many minutes are there between 4:34 AM and 7:38 AM? 184 How many minutes are there between 12:38 AM and 11:02 AM? 624 How many minutes are there between 4:26 AM and 10:08 AM? 342 How many minutes are there between 7:30 PM and 11:42 PM? 252 What is 609 minutes before 5:33 AM? 7:24 PM How many minutes are there between 1:32 AM and 3:19 AM? 107 How many minutes are there between 4:49 PM and 5:00 PM? 11 What is 63 minutes before 8:04 PM? 7:01 PM What is 599 minutes before 2:17 PM? 4:18 AM What is 237 minutes before 11:02 AM? 7:05 AM How many minutes are there between 11:46 AM and 2:18 PM? 152 What is 714 minutes after 3:40 AM? 3:34 PM What is 238 minutes before 9:32 PM? 5:34 PM How many minutes are there between 2:28 PM and 8:00 PM? 332 What is 88 minutes after 1:49 AM? 3:17 AM What is 503 minutes after 9:31 PM? 5:54 AM How many minutes are there between 8:36 AM and 4:52 PM? 496 What is 139 minutes after 9:44 AM? 12:03 PM How many minutes are there between 6:13 PM and 8:28 PM? 135 How many minutes are there between 2:09 AM and 1:46 PM? 697 What is 706 minutes after 9:36 PM? 9:22 AM What is 345 minutes before 4:23 AM? 10:38 PM What is 165 minutes before 5:46 AM? 3:01 AM How many minutes are there between 10:05 AM and 11:27 AM? 82 What is 266 minutes before 4:46 AM? 12:20 AM How many minutes are there between 9:08 AM and 8:56 PM? 708 How many minutes are there between 10:16 AM and 5:20 PM? 424 What is 155 minutes after 12:43 AM? 3:18 AM What is 103 minutes after 12:04 AM? 1:47 AM What is 576 minutes before 3:34 PM? 5:58 AM How many minutes are there between 7:19 AM and 11:23 AM? 244 How many minutes are there between 4:55 PM and 12:03 AM? 428 How many minutes are there between 11:02 AM and 8:53 PM? 591 How many minutes are there between 8:15 PM and 1:40 AM? 325 What is 149 minutes before 7:35 PM? 5:06 PM What is 197 minutes before 11:27 AM? 8:10 AM What is 69 minutes before 5:23 PM? 4:14 PM What is 418 minutes after 2:14 AM? 9:12 AM How many minutes are there between 4:05 AM and 8:16 AM? 251 How many minutes are there between 8:44 PM and 4:54 AM? 490 What is 292 minutes after 5:54 AM? 10:46 AM What is 681 minutes before 10:57 PM? 11:36 AM What is 665 minutes before 8:47 AM? 9:42 PM How many minutes are there between 5:57 PM and 7:58 PM? 121 What is 667 minutes after 2:51 AM? 1:58 PM How many minutes are there between 11:42 PM and 3:19 AM? 217 What is 128 minutes before 12:22 PM? 10:14 AM What is 669 minutes before 9:25 AM? 10:16 PM How many minutes are there between 7:26 AM and 10:37 AM? 191 What is 231 minutes before 11:32 AM? 7:41 AM What is 253 minutes before 11:29 AM? 7:16 AM What is 173 minutes after 4:02 AM? 6:55 AM What is 115 minutes before 10:31 PM? 8:36 PM What is 605 minutes before 11:26 AM? 1:21 AM What is 318 minutes after 6:01 AM? 11:19 AM What is 88 minutes before 7:38 PM? 6:10 PM How many minutes are there between 11:05 AM and 11:59 AM? 54 What is 466 minutes before 1:25 PM? 5:39 AM What is 9 minutes after 3:24 PM? 3:33 PM What is 156 minutes before 12:17 PM? 9:41 AM How many minutes are there between 1:03 AM and 6:44 AM? 341 What is 391 minutes after 7:54 PM? 2:25 AM What is 547 minutes before 12:33 AM? 3:26 PM What is 366 minutes after 4:17 PM? 10:23 PM How many minutes are there between 1:44 PM and 11:17 PM? 573 What is 428 minutes after 8:34 PM? 3:42 AM What is 250 minutes after 1:05 AM? 5:15 AM What is 679 minutes a
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 a. 2/9 Two letters picked without replacement from rjrjrjwjrjr. Give prob of picking 1 r and 1 j. 5/11 Calculate prob of picking 2 j when two letters picked without replacement from {s: 5, p: 2, j: 6}. 5/26 Three letters picked without replacement from {j: 1, l: 14, r: 2}. What is prob of picking 1 j and 2 l? 91/680 Three letters picked without replacement from iudodzuzruzr. What is prob of picking 1 o and 2 r? 1/220 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {i: 2, f: 5, g: 9}. 3/8 What is prob of picking 1 o, 1 g, 1 d, and 1 f when four letters picked without replacement from ooaodpggfaa? 1/55 What is prob of picking 2 o, 1 m, and 1 p when four letters picked without replacement from {m: 1, q: 1, k: 1, p: 2, o: 2}? 2/35 Calculate prob of picking 2 w and 2 d when four letters picked without replacement from {w: 5, d: 4, u: 3}. 4/33 Three letters picked without replacement from ggggg. What is prob of picking 3 g? 1 What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 5, v: 1, r: 3, t: 1, b: 6, q: 3}? 10/57 What is prob of picking 1 d, 1 n, and 1 i when three letters picked without replacement from {g: 1, u: 7, n: 4, d: 1, j: 2, i: 3}? 1/68 Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {z: 17, t: 1}. 1/6 What is prob of picking 1 f and 1 a when two letters picked without replacement from {f: 3, a: 8}? 24/55 Three letters picked without replacement from {k: 1, y: 1, m: 6, a: 1, t: 1, u: 1}. Give prob of picking 1 k, 1 m, and 1 u. 2/55 Calculate prob of picking 2 r and 2 d when four letters picked without replacement from {d: 6, r: 2}. 3/14 What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 4, t: 3, s: 1, l: 2}? 8/45 Calculate prob of picking 2 a when two letters picked without replacement from ccacac. 1/15 What is prob of picking 1 f and 1 o when two letters picked without replacement from {o: 6, f: 3, k: 3, n: 1, g: 1}? 18/91 Two letters picked without replacement from ugugvuvuuvvgugv. Give prob of picking 1 g and 1 v. 4/21 Two letters picked without replacement from ztzftzuzfxzxfppu. What is prob of picking 1 t and 1 z? 1/12 What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 5, u: 5, b: 8}? 25/153 What is prob of picking 1 r and 3 q when four letters picked without replacement from {r: 7, q: 7, l: 1, c: 2}? 7/68 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from yyhhywwhwwywhhwly. 15/68 Two letters picked without replacement from omddmobbmpoppdbmp. Give prob of picking 1 o and 1 b. 9/136 Calculate prob of picking 1 w and 2 h when three letters picked without replacement from hhduhwhu. 3/28 Calculate prob of picking 1 b and 1 w when two letters picked without replacement from evxvxxxxxxxxbwxb. 1/60 What is prob of picking 1 b and 2 f when three letters picked without replacement from bbibfbfbbfffirffi? 63/340 What is prob of picking 2 j and 1 t when three letters picked without replacement from {t: 8, j: 3}? 8/55 Four letters picked without replacement from {v: 3, s: 13, r: 3}. Give prob of picking 2 s and 2 v. 39/646 Two letters picked without replacement from vznnnzzrrrorronnov. What is prob of picking 1 v and 1 z? 2/51 Four letters picked without replacement from {a: 3, q: 9}. Give prob of picking 1 a and 3 q. 28/55 What is prob of picking 1 r and 1 n when two letters picked without replacement from {k: 3, z: 1, x: 2, n: 1, r: 4}? 4/55 Four letters picked without replacement from {z: 2, o: 2, m: 8, b: 1, j: 6, y: 1}. What is prob of picking 1 b, 1 j, and 2 m? 56/1615 What is prob of picking 3 l and 1 a when four letters picked without replacement from {a: 4, u: 4, l: 3}? 2/165 Calculate prob of picking 2 c when two letters picked without replacement from mmcmcmmcmccccm. 3/13 Calculate prob of picking 1 k, 1 i, and 2 f when four letters picked without replacement from hlfichkchff. 1/110 Four letters picked without replacement from {z: 1, y: 1, g: 2, t: 1, x: 2, c: 1}. Give prob of picking 1 c, 1 y, 1 z, and 1 g. 1/35 Calculate prob of picking 2 a and 1 e when three letters picked without replacement from {v: 5, z: 1, a: 6, e: 1, d: 1}. 15/364 Three letters picked without replacement from zfzfzfzz. Give prob of picking 3 f. 1/56 What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 4, t: 4, p: 7}? 16/105 Four letters picked without replacement from {x: 2, e: 5, z: 2, i: 1, t: 2, y: 1}. What is prob of picking 1 x, 2 t, and 1 i? 2/715 Three letters picked without replacement from jnjmnnjjnnn. What is prob of picking 1 j, 1 m, and 1 n? 8/55 What is prob of picking 1 u and 2 x when three letters picked without replacement from wuuhiwwwiiuxiiwiwwxu? 1/285 Three letters picked without replacement from {s: 1, n: 2, z: 4, e: 2, b: 10}. Give prob of picking 1 z, 1 b, and 1 s. 40/969 Four letters picked without replacement from xrxxrrxrrrrxrr. Give prob of picking 1 x and 3 r. 60/143 What is prob of picking 1 c and 1 b when two letters picked without replacement from {p: 1, c: 1, b: 1}? 1/3 Three letters picked without replacement from vvaifvt. Give prob of picking 1 f and 2 v. 3/35 Calculate prob of picking 1 u, 1 a, and 1 r when three letters picked without replacement from {a: 4, u: 1, h: 1, r: 2}. 1/7 Two letters picked without replacement from {x: 2, h: 5, s: 3}. Give prob of picking 1 s and 1 h. 1/3 Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eeooeeoeeeoeee. 40/91 Three letters picked without replacement from {f: 1, n: 1, h: 3, p: 5, d: 3, r: 2}. What is prob of picking 1 h, 1 r, and 1 f? 6/455 What is prob of picking 1 n and 2 p when three letters picked without replacement from punrp? 1/10 Three letters picked without replacement from {j: 2, v: 1, i: 1, l: 2}. Give prob of picking 1 j, 1 l, and 1 v. 1/5 Three letters picked without replacement from uuuuuuu. Give prob of picking 3 u. 1 What is prob of picking 1 s and 1 f when two letters picked without replacement from fsff? 1/2 Two letters picked without replacement from {p: 2, u: 3, m: 1, e: 4, k: 2}. Give prob of picking 1 p and 1 m. 1/33 Four letters picked without replacement from nvnnznvnqvqznnnv. What is prob of picking 1 q and 3 v? 2/455 What is prob of picking 1 t, 1 a, and 2 o when four letters picked without replacement from hohtccohcthttact? 1/364 Two letters picked without replacement from {n: 6, i: 3, u: 2, r: 1, g: 2}. Give prob of picking 1 n and 1 g. 12/91 Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {l: 1, e: 3, t: 7, r: 1}. 7/22 Two letters picked without replacement from {v: 1, w: 3, h: 1, b: 1, t: 1}. What is prob of picking 1 v and 1 b? 1/21 Two letters picked without replacement from {v: 1, e: 2}. What is prob of picking 1 e and 1 v? 2/3 Three letters picked without replacement from ikkikiikiiiiiiki. Give prob of picking 3 k. 1/56 Two letters picked without replacement from ogoqq. What is prob of picking 1 q and 1 o? 2/5 Three letters picked without replacement from eppbreurbiprb. Give prob of picking 1 u and 2 e. 1/286 Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {n: 3, c: 5, f: 1, k: 7, j: 3}. 5/57 Calculate prob of picking 2 a when two letters picked without replacement from hhaahihahhthhhh. 1/35 Three letters picked without replacement from daragrrdadgggwgdor. What is prob of picking 1 r, 1 d, and 1 g? 5/51 Calculate prob of picking 2 z and 1 w when three letters picked without replacement from wwzwwzw. 1/7 Four letters picked without replacement from aavvvav. What is prob of picking 1 v and 3 a? 4/35 What is prob of picking 1 y and 2 j when three letters picked without replacement from {j: 7, y: 1}? 3/8 What is prob of picking 3 z when three letters picked without replacement from wzypuzzzyzyzeypzy? 7/136 Three letters picked without replacement from ohxhhhhooohhhohk. Give prob of picking 2 o and 1 k. 1/56 Three letters picked without replacement from {a: 1, j: 1, k: 1, d: 1, n: 1}. Give prob of picking 2 n and 1 k. 0 What is prob of picking 1 l, 1 s, and
{ "pile_set_name": "DM Mathematics" }
13 -1 - (-5 + 11 + -17) 10 What is the value of 0 - -1 - (1 - -7) - -5? -2 Evaluate (8 - (10 + -1)) + 4. 3 What is 20 - -38 - 28 - 11? 19 58 + -31 + (-2 - 21) 4 -1 + (-4 + -2 - (7 - 9)) - 11 -16 Calculate (-1 - -7) + -29 + 25 + -13 - -23. 12 14 - -1 - (2 + 0 - -9) 4 What is the value of 8 - 3 - ((-12 - (-12 + -4)) + -12)? 13 Evaluate 13 - (16 - -7) - -20. 10 Calculate (8 + -5 + 8 - 3) + 4 + 10. 22 2 + -11 + (1 + 3 + -3 - 6) -14 Calculate 0 + -13 - ((13 - 19) + 5) - 3. -15 What is the value of -575 + 555 + (5 - (-1 + -1))? -13 What is -19 + 56 + -7 + -5? 25 What is -23 + 5 - (-40 + (59 - 33))? -4 What is (3 - -27) + 117 + -142? 5 (45 - 40) + -8 + 4 + 17 18 (2 - 6) + (9 - (-6 + 2 - -5)) 4 What is the value of 2 - (40 + -13) - -13? -12 Evaluate -11 - (7 + 2 + -2 + -19). 1 What is the value of 16 + -8 + (-11 - -20) - 6? 11 Evaluate -7 + (-28 - -46) + 1 + -6 + 2. 8 What is -8 + 16 + (-7 - -10 - 1)? 10 Evaluate -12 - (-18 + 14 - (-1 - -1)) - -6. -2 Calculate -10 + (9 - 7) + -3 + 23. 12 Evaluate (239 - 243) + -4 + (-1 + -1 - -7). -3 (4 + -10 - -31) + (-6 - 3) 16 Evaluate -11 - -9 - 29 - -14. -17 What is (-4 - -8 - 0) + -2 + 7? 9 (1 + 8 - 15) + (1 + 3 - 0) -2 Calculate (1 - -6) + (-1 + 4 - 15 - 1). -6 Calculate -14 - (-16 + (13 - 1)) - -1. -9 Calculate 13 + -19 + -1 + -7 + (-17 - -23). -8 Calculate 34 - (-14 + 32 - -8). 8 What is the value of 4 + (8 - -8 - 8 - 3 - 2)? 7 What is the value of (3 - (18 - 7)) + 13 - 10? -5 What is -21 - -23 - 6 - -3? -1 What is (-28 + -3 - (-4 - 0)) + (9 - 3)? -21 5 - -14 - 10 - (11 + 7 + -8) -1 Evaluate 4 + (-11 - (8 - 16 - -1)) - 3. -3 Evaluate 1 - (-3 - -1) - (20 + -23 - -38). -32 Evaluate -9 + 32 + -26 - (1 - 0 - -2). -6 What is -25 - 8 - 5 - -10? -28 13 + (2 - ((-5 - 8) + 26)) 2 Calculate -9 + 5 - ((-1 - 15) + 9). 3 Evaluate 4 - (-15 + 8 - -7 - 0). 4 What is the value of 1 - (13 - (-7 + 14 + -6))? -11 10 + (-12 - -15) + -2 + -3 + 1 9 What is the value of 6 - (33 + -40 - (-19 + 2 + 2))? -2 Calculate 17 + (-6 - (13 + (12 - 20))). 6 Calculate -2 + 18 + (-22 - -1 - -12). 7 What is 29 + 0 - (-171 - -211)? -11 -11 - ((25 - 31) + 4 + -2 + 5) -12 What is -6 + (21 - 21 - (-9 + 7 + -3))? -1 What is (-32 + 15 - -36) + 0? 19 Calculate (0 - -13) + (1174 - 1200). -13 Calculate 23 - 37 - (-20 - 0). 6 -6 + 2 + 3 - (-66 + (13 - -18)) 34 What is (11 + -2 - -4) + -12 - -19? 20 What is the value of -1 - ((11 - 4 - 16) + 2)? 6 14 + (2 - 18) - -18 16 What is 29 - (9 + -57 + 46)? 31 Calculate -16 - (-23 + 1 + 0). 6 What is -4 + (-9 - (-28 + 15)) + 0 + -2? -2 What is (8 - 11) + (-3 - -7) - 0 - -21? 22 What is the value of 0 + -9 + (-3 - -5) + -3 + 19? 9 -2 - (-16 + -6 + 31) -11 (-22 - 2) + (17 - (4 - -7) - 9) -27 (0 - 15) + (-7 - -9) + (-31 - -37) -7 Calculate -2 + -6 + (-6 - (-37 + 11)) + 3. 15 What is the value of 22 + -27 + -9 + 1? -13 4 + -4 + -15 + -2 + 9 -8 What is 1646 + -1651 - ((-3 - 44) + 3)? 39 What is 4 - ((65 - 59) + 1 + -1 + 6)? -8 What is -6 + (-8 - 2) + -9 + 1? -24 Evaluate -5 + (2 - -14) - (-27 + 37). 1 What is the value of 293 - 289 - (-23 + 1) - 15? 11 What is -4 + 22 + (-18 + -24 - -38)? 14 Evaluate (10 - (-4 + 36) - -2 - 3) + 7. -16 Evaluate 16 + (-56 - (11 - 34)). -17 What is the value of -8 + (-4 - -3 - (-17 - -32 - 8))? -16 What is the value of 10 + -17 + 2 + 4 + 8 - 0? 7 What is the value of -2 + (-71 - -63) + (-2 + 1 - 0)? -11 Evaluate -2 - (5 - (5 + 1)). -1 What is the value of -9 - (2 - (3 - (5 - 3)) - -8)? -18 What is -13 - -15 - 17 - -3? -12 (5 - 7 - 0 - -4) + 5 + -8 -1 -12 + 4 + 0 + 3 - -5 0 Calculate 45 + (-32 - -22) - -3. 38 99 + (-19 - 15) - 40 25 Evaluate (12 - (22 - 8)) + 9. 7 What is (65 - -17) + -30 - 24? 28 (-2 + (-2 - -2) - (46 - 48)) + 12 12 What is 7 - (-9 - (5 - 12)) - 18? -9 -3 + (-1 - (3 + -2)) + (31 - 35) -9 What is -2 - (-14 - (4 + -8))? 8 Calculate (-14 - -6) + -10 + 7 + 14. 3 Evaluate (-9 - -25) + -12 - (3 - (-2 - -4)). 3 Evaluate -1 + 2 + -1 - -12. 12 Calculate -20 - (-7 + 21 + -34). 0 Calculate 17 - ((-9 - 2) + 9 - (-10 + 3)). 12 What is (14 - 12 - 2) + 1 + 3 + 6? 10 What is the value of 13 - 38 - (6 - 16)? -15 3 + -5 + 8 + -11 - (0 + 0) -5 Evaluate -7 - (1 + 5) - (-23 - -29). -19 Calculate 175 - 184 - (9 - 1). -17 What is the value of (0 - -9) + -1 - (-81 + -16 + 94)? 11 What is -16 + 33 + -8 + -10? -1 What is the value of 21 + -26 + (3 + -3 - -17)? 12 What is the value of 9 + -3 + -8 + 16 + -21? -7 Calculate 4 + -9 - -9 - -6 - (-4 - -4). 10 What is the value of 10 + -13 - 2 - (27 + (4 - 6))? -30 -5 - ((0 + -10 - 2) + (5 - 0)) 2 Calculate 15 + -42 - (-24 - -8). -11 What is the value of -11 + (-7 - (-9 + -9 + 8))? -8 Calculate -21 - (-7 + -4) - (-27 - -2). 15 What is -5 - (-2 + -1) - ((9 - -10) + -18)? -3 What is the value of 9 + -20 + 10 + -9 + 1? -9 What is the value of 3 - (-1 - (7 - 22))? -11 -18 + -23 + 33 + 0 -8 What is the value of (-3 - (39 - 6) - -2) + 9? -25 10 - ((-2 - (2 - 6)) + 3) 5 What is -8 + 10 - -7 - (3 + (0 - -4))? 2 What is the value of -8 + (6 - ((0 - 1) + (-46 - -47)))? -2 Evaluate 9 - (-6 + 18 + 2). -5 Calculate -16 - (22 + -50 - 2). 14 Calculate -12 - (-4 + 12 + -9). -11 Calculate -10 + 8 + 9 + 6 + 0. 13 What is -21 - (-31 + -9) - 23? -4 Calculate (6 - -3) + -1 + -23 + 20. 5 Evaluate (-2 - (-1 - (4 - -10))) + -1. 12 What is the value of 8 + -1 + -41 + 12 + 6? -16 Evaluate -1 + -12 - (-3 - (30 - 6)). 14 Calculate (1489 - 1478) + (-1 + 8 - 0). 18 Evaluate 17 + -2 - (10 - -9). -4 What is -12 + 17 + 4 + -17 + 36? 28 6 + 4 + (-10 - (9 + -26)) - -7 24 What is (-3 - (3 + -18)) + -25? -13 What is 1 - 4 - (34 + -43) - (21 - 0)? -15 What is -6 + 15 + (-7 - -2) - -7? 11 What is -14 + (-7 + -12 - -46)? 13 What is the value of (99 - 73) + (-3 - 9)? 14 What is -1 + (5 - 0 - 11) + 7? 0 What is (-1 - (12 - 13)) + -15? -15 (0 - (-4 - 2)) + 4 10 What is -10 + (0 - 14) + 31? 7 -17 - ((-3 - 2) + 3) - -3 -12 Evaluate 14 - (-6 - -2) - 11 - (2 + 7). -2 3 - (14 - ((-59 - -68) + -19 + 1)) -20 -2 + (1 - -1 - -5) + -33 + 10 -18 Evaluate -5 - (-10 - -11 - 17 - (2 + -2)). 11 -10 + 7 + (-15 - (-1 - 3)) -14 Calculate (-1 - 38 - -13 - (-3 + 0)) + -2. -25 What is the value of 2 - (-8 + (0 - -7) - (-11 + 3))? -5 What is -3 - -31 - ((2 - 3) + 1)? 28 Calculate 10 + (11 - 29 - -12 - 28). -24 What is the value of -5 + (3 - (-1 - 0 - 3))? 2 Evaluate (-58 + 37 - (2 - 7)) + 10. -6 11 + -13 + 37 + -28 7 (7 - (-6 + -5)) + 0 18 What is -15 + (4 - -47) + -16? 20 What is the value of 26 + -23 + -1 + 0 + -10? -8 What is -3 - (1 + 14 - 20)? 2 Evaluate (-123 - -130) + (7 + -3 - (-1 + 2)). 10 What is -14 + (1 - (-13 - -1))? -1 What is -2 + (193 + -204 - (1 + -16))? 2 Calculate 3 + 1 + 15 + (-11 - 7). 1 What is -3 - (-12 - ((8 - 2 - 3) + -3))? 9 What is the value of (7 - 12) + (29 - 13)? 11 Evaluate 31 - (5 - (1 - 25 - -15)). 17 Calculate 1 + -84 + 87 + (1 - 3). 2 (3 - 4) + 8 - (11 - 1 - 19) 16 Calculate (-2 + 8 - (-7 + (1 - 2))) + -1. 13 Calculate 9 - (14 - (-2 + 5 + (-16 - -5))). -13 What is the value of -8 + 11 + -5 - (8 - 26)? 16 What is the value of -269 - -274 - (-2 - 4)? 11 What is (-2 - (-6 + 1)) + -15 - (-1 + 1)? -12 What is -2 - (-37 + 35 - (1 + -2 - 12))? -13 Calculate 27 + (-48 - -20) - (1 + -4). 2 5 - ((5 - 10) + 0 + -1) 11 11 + (7 - 1) + -9 + 3 11 Evaluate 2 + -8 - (20 + -25) - 8. -9 -1 - 6 - (20 - 33) 6 What is 9 + 0 + -3 + 7 + -15 - 9? -11 What is (-2 - (5 + -9 + 6)) + 1? -3 Calculate 11 + (-8 - -20 - 6) + -8 - -3. 12 Evaluate -11 + -4 + 3 + 5 + -9 + 2. -14 What is the value of -9 + (2 - 5 - (24 + -14 + -7))? -15 What is -21 + 3 + 3 - (-4 + (2 - 1))? -12 What is -2 - ((-29 - -34) + (-13 - (0 - 3)))? 3 What is the value of 0 + (-19 - (7 + -3 + -7)) + 5? -11 Calculate 3 + 0 - -4 - (3 - -12). -8 Calculate (11 - 1) + 151 + -153. 8 What is -17 - -4 - -8 - 13 - -10? -8 Evaluate 10 - ((7 - -3) + (-23 - -10)). 13 Evaluate 7 - (1 - (0 + -14)). -8 What is -9 - (8 - (24 - 8))? -1 Evaluate 2 + (4 - 9 - 1) + -1 + -7. -12 -14 + -10 - (-18 - 23) 17 What is -62 + 52 + 18 + (1 - (1 - 1))? 9 Calculate -25 - (41 - 55) - (15 - -1). -27 42 + (-4 - 19) - 51 -32 Calculate (7 - (4 + 9)) + -15 + 10. -11 Evaluate 21 - (16 - (-14 - -16)). 7 Evaluate -1 + 3 + -6 - (22 + -22 - 6). 2 Evaluate 11 + (-13 - -1 - 12). -13 Evaluate -22 + (1 - -11) + (4 + -1 - 0). -7 What is -10 - (-5 - -7 - 11 - -7) - 6? -14 What is the value of
{ "pile_set_name": "DM Mathematics" }
ecimal places. 0.58 What is 1613755.3 rounded to the nearest one thousand? 1614000 What is 2575.571 rounded to the nearest integer? 2576 Round 78.85 to the nearest ten. 80 Round -170.54505 to zero decimal places. -171 What is -0.0008367 rounded to 5 dps? -0.00084 What is 627990.3 rounded to the nearest one million? 1000000 What is 124591600 rounded to the nearest 1000000? 125000000 What is 13614.8 rounded to the nearest ten? 13610 What is -278.28 rounded to the nearest 100? -300 What is -0.001899481 rounded to 6 decimal places? -0.001899 What is -9718626 rounded to the nearest 100000? -9700000 Round 234914.55 to the nearest 100. 234900 What is -0.00105252 rounded to 5 decimal places? -0.00105 Round 149.86192 to the nearest ten. 150 What is 651060.8 rounded to the nearest one hundred thousand? 700000 Round 6.19592 to two dps. 6.2 Round 183941 to the nearest 10000. 180000 Round 2924230 to the nearest one million. 3000000 What is 38664.806 rounded to the nearest 10000? 40000 What is 0.00000440661 rounded to 7 decimal places? 0.0000044 What is -4955.37 rounded to the nearest 1000? -5000 Round 0.0108982 to two decimal places. 0.01 Round 0.000001521395 to 7 decimal places. 0.0000015 What is -0.00282489 rounded to four dps? -0.0028 Round 0.00000511093 to 7 decimal places. 0.0000051 Round -0.0000686452 to 7 decimal places. -0.0000686 What is 0.006868881 rounded to five decimal places? 0.00687 What is -56407.1 rounded to the nearest 100? -56400 Round 8.50881 to two dps. 8.51 Round 244571.2 to the nearest one hundred. 244600 What is -173.39883 rounded to 1 dp? -173.4 What is -0.5430235 rounded to 1 decimal place? -0.5 What is 3786543 rounded to the nearest one thousand? 3787000 What is 53771968 rounded to the nearest ten thousand? 53770000 What is -0.000119024 rounded to four decimal places? -0.0001 What is -0.00000318968 rounded to seven decimal places? -0.0000032 What is 54102030 rounded to the nearest one million? 54000000 Round 85.71 to one dp. 85.7 Round 0.00000867399 to 6 dps. 0.000009 What is -22.232237 rounded to two dps? -22.23 What is -0.0004001814 rounded to six decimal places? -0.0004 Round 8356.18 to the nearest 1000. 8000 Round 14970.5 to the nearest 100. 15000 Round -5.10153 to 2 decimal places. -5.1 What is -2652.0247 rounded to the nearest ten? -2650 What is 2082.66 rounded to the nearest one thousand? 2000 Round -13466.85 to the nearest 10000. -10000 Round 34018.5 to the nearest one hundred. 34000 What is 400.89382 rounded to the nearest 10? 400 What is -0.000001992821 rounded to 7 dps? -0.000002 Round -0.0000812001 to 5 dps. -0.00008 Round 6.6142 to 2 decimal places. 6.61 What is -8580.048 rounded to the nearest ten? -8580 What is -39029.84 rounded to the nearest 10? -39030 Round -2080324 to the nearest 1000. -2080000 What is -0.39382645 rounded to 1 dp? -0.4 What is 141409500 rounded to the nearest one million? 141000000 What is 0.0002168039 rounded to five dps? 0.00022 What is -7078.6578 rounded to the nearest one hundred? -7100 Round -62.78367 to the nearest 10. -60 What is -0.00002040556 rounded to 7 decimal places? -0.0000204 Round 0.0001092516 to seven decimal places. 0.0001093 Round -67506.2 to the nearest one thousand. -68000 Round -140809000 to the nearest one hundred thousand. -140800000 What is -57.33 rounded to the nearest 10? -60 Round 6.20815 to 0 decimal places. 6 Round 1074010 to the nearest ten thousand. 1070000 What is -14595500 rounded to the nearest 100000? -14600000 Round 212.84 to the nearest integer. 213 What is 0.30365 rounded to one decimal place? 0.3 What is 558304 rounded to the nearest 100000? 600000 What is -107922.933 rounded to the nearest 100? -107900 Round -5859250 to the nearest 10000. -5860000 Round -706499000 to the nearest one million. -706000000 Round -1297.9585 to the nearest one hundred. -1300 Round -202518600 to the nearest 1000000. -203000000 Round 52.7832 to zero decimal places. 53 What is -205001000 rounded to the nearest one million? -205000000 What is -0.49554896 rounded to 3 dps? -0.496 What is -69.909 rounded to the nearest 10? -70 What is -83845.29 rounded to the nearest one thousand? -84000 What is -1.54462 rounded to one decimal place? -1.5 What is 18.2678 rounded to zero decimal places? 18 Round 0.00000286058 to 7 decimal places. 0.0000029 What is -0.00007560578 rounded to six decimal places? -0.000076 What is -509.211 rounded to the nearest one hundred? -500 What is 434645000 rounded to the nearest 1000000? 435000000 What is 28559.83 rounded to the nearest one hundred? 28600 Round -0.01615505 to four decimal places. -0.0162 What is -232.417 rounded to the nearest ten? -230 Round -324.208 to the nearest ten. -320 Round 0.00014780881 to 6 decimal places. 0.000148 Round 107.959 to zero decimal places. 108 What is -0.005860244 rounded to three decimal places? -0.006 What is 0.21760678 rounded to 4 dps? 0.2176 Round -533920400 to the nearest 1000000. -534000000 What is -0.000042356833 rounded to 7 dps? -0.0000424 What is 0.016247952 rounded to three dps? 0.016 Round 6.05115 to two decimal places. 6.05 Round 0.00041686607 to seven decimal places. 0.0004169 Round -81.073979 to two decimal places. -81.07 Round -0.5435664 to 4 decimal places. -0.5436 What is -0.009114725 rounded to 6 decimal places? -0.009115 What is -0.000007980254 rounded to six decimal places? -0.000008 Round -41365300 to the nearest one hundred thousand. -41400000 Round 0.00115424 to five dps. 0.00115 What is -0.0000261281 rounded to six decimal places? -0.000026 Round 5471294 to the nearest 10000. 5470000 What is -1812199.8 rounded to the nearest 1000? -1812000 Round 0.009087457 to five dps. 0.00909 What is -0.00069377691 rounded to four decimal places? -0.0007 Round -0.101979 to three decimal places. -0.102 Round -0.0000082659991 to six dps. -0.000008 Round -2583.1563 to the nearest 10. -2580 What is -0.0498534 rounded to 4 decimal places? -0.0499 Round -0.004843638 to 3 decimal places. -0.005 Round 25434154 to the nearest 100000. 25400000 What is -16.76289 rounded to two decimal places? -16.76 Round -652727.8 to the nearest 10000. -650000 Round 0.0005878763 to six decimal places. 0.000588 Round -2388860 to the nearest one hundred thousand. -2400000 What is 0.179766 rounded to 3 dps? 0.18 Round -52.226766 to 2 dps. -52.23 Round 24341 to the nearest 10000. 20000 Round -0.0008918 to four dps. -0.0009 Round -15841.26 to the nearest 100. -15800 What is -9632.37 rounded to the nearest 100? -9600 What is -4187.64 rounded to the nearest one hundred? -4200 Round 15843.72 to the nearest one hundred. 15800 Round 185083500 to the nearest one hundred thousand. 185100000 Round 0.9868035 to four dps. 0.9868 What is 1.3307271 rounded to 3 decimal places? 1.331 Round 2.74069 to two dps. 2.74 What is -2.4061796 rounded to three decimal places? -2.406 What is -27977938 rounded to the nearest 100000? -28000000 Round 46415560 to the nearest one hundred thousand. 46400000 What is 241.774 rounded to the nearest ten? 240 What is -66883.97 rounded to the nearest ten thousand? -70000 Round -79321160 to the nearest ten thousand. -79320000 What is 62.77632 rounded to two decimal places? 62.78 Round -1847373 to the nearest 100000. -1800000 What is 4286690 rounded to the nearest 100000? 4300000 What is -0.000000004388 rounded to seven dps? 0 Round -0.835906 to one dp. -0.8 What is 1879900700 rounded to the nearest 1000000? 1880000000 Round -0.030953667 to three dps. -0.031 Round -128682600 to the nearest one million. -129000000 Round 0.015783566 to 5 dps. 0.01578 What is -1327816.3 rounded to the nearest 1000? -1328000 Round 0.0002438756 to four dps. 0.0002 What is -66.5973 rounded to the nearest ten? -70 What is 7976039100 rounded to the nearest one million? 7976000000 Round 10288.03 to the nearest one thousand. 10000 What is -15.274637 rounded to 2 dps? -15.27 Round -161.0864 to the nearest ten. -160 What is -13133390 rounded to the nearest ten thousand? -13130000 What is -149441 rounded to the nearest 100? -149400 Round -2728.183 to the nearest one thousand. -3000 What is 1732649 rounded to the nearest 100000? 1700000 Round 17325.94 to the nearest 10. 17330 What is -15670980 rounded to the nearest 10000? -15670000 Round 0.21709501 to 2 dec
{ "pile_set_name": "DM Mathematics" }
is the value of 324/504*(-7)/18*-3? 3/4 Calculate (-3)/2*(-10)/3. 5 Evaluate 76/190*(-1)/2. -1/5 Calculate (-6)/8*(-1)/(-21)*-16. 4/7 What is the value of (-3*4)/(-3)*9/612? 1/17 What is the value of (-9)/(-6)*(-12)/(-18)? 1 What is 3/(24/32*7)? 4/7 (747/(-332))/(30/(-8)) 3/5 Evaluate (246/205)/(3/(-20)). -8 What is (-368)/(-6900)*4/(8/5)? 2/15 What is the value of (3/(-9))/(11*(-4)/(-660))? -5 (4/(-15))/((-58)/(-87)) -2/5 Calculate (-18)/90*(2/(-2))/1. 1/5 (4/(-18))/(-6*2/(-18)) -1/3 Calculate (336/414)/14*6/4. 2/23 Calculate (1/(-2))/(11/2). -1/11 Calculate -1*(-3)/(-9)*60/4. -5 63/(-9)*((-72)/28)/2 9 -10*1*6/(-60)*6 6 Calculate (-36)/(-12)*2/18. 1/3 What is the value of (1/(150/40))/((-2)/5)? -2/3 Evaluate ((-3)/(-2))/((-35)/(-10)). 3/7 What is 5*(-20)/(-225)*2/12? 2/27 4/56*2*108/18 6/7 What is the value of ((63/(-14))/(-9))/(2/4)? 1 What is (-7)/(7/4)*(-1)/2? 2 ((-5)/2)/(35/84) -6 Evaluate 65/(-39)*2/(-20). 1/6 Evaluate (-1764)/42*3/18. -7 15/6*(-14)/(-35) 1 What is the value of ((-6)/8)/((-55)/220)? 3 (0/((-6)/2))/1 0 Evaluate 9/18*(-3)/(-3)*6. 3 (416/468)/(((-2)/9)/(-1)) 4 What is 72/1008*14/4? 1/4 What is (462/55)/14*1*-3? -9/5 Evaluate 2/(5/(-15)*27). -2/9 Calculate 2*(7/(-2))/1. -7 (17/1360*16)/((-8)/10) -1/4 Evaluate ((-60)/72)/((-2)/4). 5/3 Calculate 14/4*480/(-280). -6 Evaluate ((-4)/(-36)*3)/3*-15. -5/3 Calculate -8*((-34)/20)/17. 4/5 Calculate (((-220)/2)/11)/(-1*2). 5 (-11)/11*1*(-2)/18 1/9 What is the value of 4/144*-3*-3? 1/4 Evaluate ((-7)/21)/(((-6)/2)/6). 2/3 Calculate (-1*(-12)/(-144))/(2/(-6)). 1/4 2*14/(-84)*3 -1 What is the value of (-14)/(-105)*6/(-4)? -1/5 What is the value of ((-60)/(-6))/(-5)*(-1)/(-8)? -1/4 Evaluate (6/(-22))/((-35)/385). 3 Evaluate (-1)/(2*4/32). -4 What is the value of ((-7)/(84/9))/(27/(-12))? 1/3 Evaluate ((-16)/(-24))/(3*(-6)/27). -1 Calculate (-2)/(-3)*1/((-8)/(-36)). 3 What is the value of 8/(-1)*(4/8)/1? -4 What is 12/(-14)*1*(-10)/15? 4/7 What is -10*(-1)/14*-7? -5 Calculate ((-3)/(-63))/(6/12). 2/21 Calculate (54/(-6))/324*4. -1/9 2*2*1*(-84)/(-168) 2 What is (-5)/2*((-280)/(-25))/7? -4 Evaluate ((-5)/(-2))/((-34)/68). -5 246/164*(-2)/57 -1/19 What is the value of (-504)/288*(-6)/14? 3/4 What is (-16)/50*((-35)/2)/(-7)? -4/5 What is (3*(-6)/45)/(196/(-140))? 2/7 What is (-1304)/2282*(-28)/(2*1)? 8 Calculate ((-19)/((-95)/10))/3. 2/3 Evaluate ((-22)/(-11))/(-1*2). -1 1200/(-24)*1/(-5) 10 What is (70/3)/10*(-16)/28? -4/3 Evaluate (4/(-12)*-2)/((-12)/(-27)). 3/2 What is 6*2/2*19/152? 3/4 Calculate 30/9*33/22. 5 120/(-80)*1/3 -1/2 What is (-1)/(-1*(-5)/15*-6)? 1/2 What is (1/(18/(-15)))/((-1)/6)? 5 Evaluate (30/(-35))/((12/21)/4). -6 What is 0*2*(-4)/16? 0 What is the value of (-3)/(-14)*2*(-21)/(-21)? 3/7 What is ((5/4)/((-7)/42))/6? -5/4 Evaluate (0/(9/3))/(13/13). 0 What is the value of (-115)/46*-3*1/10? 3/4 Calculate ((-4)/18)/(13*15/1755). -2 What is the value of ((-14)/(-49))/((-2)/14)? -2 (4/(-42))/(7/((-63)/2)) 3/7 What is the value of (125/100)/((-1)/4)? -5 (-252)/(-448)*8/3 3/2 ((-111)/(-370))/(6/5) 1/4 Calculate -5*15/(-50)*-2. -3 Evaluate (1/(-2))/(7/70). -5 Calculate 12/(-8)*16/6. -4 Evaluate (-2)/1*49/(-588). 1/6 (-2)/((2/(-12))/((-1)/(-3))) 4 Calculate (12/40)/(9/(-12)). -2/5 What is the value of 1/(-22)*1914/(-348)? 1/4 What is (2/(-4))/(19/((-38)/7))? 1/7 Evaluate (1/(-5))/(1*(-18)/135). 3/2 What is -1*(-3)/3*2? 2 Evaluate (30/4)/(635/508). 6 Calculate (16/16)/((-4)/(-4)). 1 What is (2/4)/((-77)/22)? -1/7 Evaluate (-2)/(-12)*2*-2. -2/3 (54/4)/((-315)/(-210)) 9 3/3*-2*1 -2 What is (-3*(-3)/(-63))/((-5)/10)? 2/7 What is (0*5/(-30))/3? 0 Calculate (3/4)/((-11)/(1320/(-225))). 2/5 What is the value of (-6)/(-468)*13*8/(-14)? -2/21 What is ((-152)/95)/((-8)/(-20))? -4 (-14)/(-3)*24/(-16)*1 -7 ((-2)/(-26))/((-8)/(-16)) 2/13 What is ((-12)/(-30))/((-3)/5)? -2/3 Evaluate ((-6)/10)/(39/(-455)). 7 Evaluate ((-1)/(-7))/((-102)/119). -1/6 Evaluate ((-25)/(-850))/((2/(-2))/(-4)). 2/17 (-3)/((21/(-28))/(14/(-8))) -7 (21/308)/(21/84) 3/11 Evaluate ((-8)/42)/(10/(-105)*-9). -2/9 Calculate 2/((-22)/55)*1/1. -5 What is the value of (((-4)/2)/(12/3))/1? -1/2 What is (48/(-16))/((-45)/10)? 2/3 ((-4)/42)/(6/(-14)) 2/9 ((45/12)/5)/(255/(-40)) -2/17 What is (12/(-15))/((-56)/(-140))? -2 Evaluate 72/(-27)*(-45)/(-75). -8/5 What is the value of ((36/15)/3)/(7/5)? 4/7 Evaluate (4*11/341)/2. 2/31 ((-4)/(-6))/(8/12*-1) -1 What is (-6)/(-10)*-2*3/9? -2/5 Calculate (-51)/(-34)*(-24)/4. -9 What is the value of (-8)/8*2*-1? 2 Calculate (2*1/(-10))/1. -1/5 1/(-4)*848/(-318) 2/3 What is 3/(-15)*((-280)/(-21))/4? -2/3 Calculate 18/42*2/3. 2/7 What is 8/4*68/17? 8 Calculate 2/(-42)*36/(-12). 1/7 What is the value of (-18)/(-4)*15/(45/2)? 3 Evaluate ((-5)/(125/(-10)))/((-12)/(-15)). 1/2 Evaluate (-4)/(-3)*(-1950)/(-520). 5 (3/(-18))/((-6)/8) 2/9 Evaluate 8/36*(-48)/(-80). 2/15 10*(-126)/21*1/(-15) 4 What is ((-1)/1*-1)/((-18)/18)? -1 Evaluate ((-3)/4)/(15/(-100)). 5 Evaluate (5/1)/((-435)/(-348)). 4 (18/((-12)/(-4)))/(4/(-2)) -3 What is 6*3/18*(-4)/2? -2 Calculate 60/2*(-3)/(-18). 5 6*(-5)/(100/(-5)) 3/2 Evaluate (-9)/(-2)*((-1121)/(-114))/(-59). -3/4 What is (9*3/(-18))/(7/2)? -3/7 What is the value of (3*1/30)/((-6)/(-45))? 3/4 Evaluate ((-99)/(-132))/(9/4)*6. 2 Calculate (92/161)/(2/7). 2 What is (-1)/((-8)/(-128)*8)? -2 What is the value of (-18)/(-42)*5/(30/(-42))? -3 Calculate (2*-2)/(-2)*(-15)/10. -3 What is the value of (96/(-56))/((-20)/70)? 6 -8*1*(-5)/(-10) -4 What is the value of ((-6)/(-24))/(2/8)? 1 What is the value of 4/(-5)*40/(-8)? 4 What is the value of 13/91*(-21)/(-9)? 1/3 Evaluate ((-23)/46)/(3/(-21)). 7/2 What is the value of 18/(-30)*16/12*5? -4 -12*((-8)/16)/(-1) -6 What is (167/668)/(1/16)? 4 Evaluate ((-30)/24)/(10*(-3)/18). 3/4 Evaluate 4/8*3*2. 3 -3*1/(-4)*40/10 3 Evaluate 4/5*35/(-7). -4 Evaluate 9/(-12)*(-4)/1. 3 Evaluate 18/27*(-42)/4. -7 What is 28/7*(-1)/12? -1/3 What is the value of (1/(-9))/((12/27)/(-4))? 1 Evaluate (-4)/((-3)/(15/(-10))). -2 Evaluate (-1)/(2/(-3)*(-9)/(-30)). 5 (1/(-3))/(2/(-3)) 1/2 Evaluate (5/(-3))/((7/(-3))/(-7)). -5 Calculate (-1*6/54)/(20/(-270)). 3/2 What is the value of -25*6/90*3/1? -5 What is the value of -1*4/80*5? -1/4 What is (0/((-9)/(-3)))/((-2)/1)? 0 What is the value of (-8)/6*((-234)/32)/(-13)? -3/4 Evaluate (((-5)/(-2))/(-5))/((-325)/(-100)). -2/13 Evaluate (0/(-4))/((-11)/11). 0 Calculate 0/(((-12)/(-21))/((-2)/7)). 0 Evaluate (-27)/(-6)*(-4)/(-12)*-4. -6 Calculate ((-8)/224)/(13/(-52)). 1/7 Calculate 6/(-136)*304/(-114). 2/17 (2/1)/(15/6) 4/5 What is the value of ((-4)/(-18))/(10/(60/(-14)))? -2/21 Evaluate ((-20)/30)/(12/(-42)). 7/3 Evaluate ((-35)/(-2))/5*(-354)/(-413). 3 Evaluate 1/1*10/(-70)*-21. 3 Calculate 5/(-30)*8*(-3)/(-1). -4 What is (-6)/(((-45)/(-10))/3)? -4 What is the value of -6*(-2)/((-64)/(-4))? 3/4 Evaluate (18/(-18))/(1/(-1)). 1 (-2)/24*-1*9/(-2) -3/8 (-16)/48*(-3)/(-1) -1 (-9)/(-42)*(-1)/((-3)/8) 4/7 Evaluate (8/(-8))/(-1)*10. 10 What is 0/(2*(-1)/2*2)? 0 Evaluate (((-15)/(-5))/(-21))/(2/(-4)). 2/7 (((-3)/(-5))/((-132)/(-220)))/1 1 Calculate 14/(-4)*13/(182/(-6)). 3/2 Calculate 7/(49/2)*(-42)/(-6). 2 Calculate 2/(-4)*91/(-273). 1/6 What is the value of (-72)/(-6)*3/(-12)? -3 What is (2/4)/((-18)/(-120)*-2)? -5/3 What is the value of (6/9)/(50/45*3)? 1/5 What is the value of 5/(-5)*(12/3)/4? -1 What is (2/28)/(4/14)? 1/4 What is (1/7)/(24/(-84))? -1/2 What is 14/((-21)/(-3))*-2? -4 What is 6/52*100/(-75)? -2/13 Evaluate ((0/86)/((-4)/2))/1. 0 What is 3*((-6)/1)/(-18)*-3? -3 Evaluate (40/(-4))/(((-135)/18)/3). 4 ((-1)/1)/((2*1)/(-4)) 2 What is (-9)/(-6)*4/(-6)? -1 What is the value of 7/14*(-2)/(-4)? 1/4 Evaluate (0/(-38))/(5/((-5)/3)). 0 Evaluate ((-4)/3)/((598/3)/23). -2/13 Evaluate (-15)/(-9)*-3*1. -5 What is 3/(-21)*(-4)/(-4)? -1/7 Calculate (1/(-3))/((-3)/(72/44)). 2/11 Calculate -1*(-1)/((-117)/18). -2/13 Evaluate ((-6)/9)/((-78)/117). 1 (12/(-40))/(99/55) -1/6 (15/(-3))/10*10 -5 What is the value of (60/(-70))/(((-20)/35)/(-4))? -6 What is the value of ((-2)/(-4))/((-3)/(-6))? 1 1/(2/(-10))*1/(-1) 5 Calculate ((-24)/60)/(((-3)/(-3))/(-1)). 2/5 ((-1)/2)/((-8)/16)*3 3 Calculate -1*2/4*(-60)/60. 1/2 Calculate -2*9*5/(-30). 3 Calculate ((-12)/(-2))/(-3)*(-18)/180. 1/5 Evaluate -20*((-10)/5)/(-12)*3. -10 ((12/(-
{ "pile_set_name": "DM Mathematics" }
s c Let w = -1 + -14. Suppose -13*s + 8*s - 15 = -2*t, -4*s - 24 = -4*t. Which is the nearest to w? (a) s (b) -0.3 (c) -2/25 a Let w be (6/21)/((-28)/70 - (-48)/70). Which is the nearest to -1/3? (a) -0.2 (b) -135 (c) w (d) -4 a Suppose 46*q + 6*q + 324 = -56*q. What is the nearest to q in 0, -1/3, -12/7, 2? -12/7 Let p be (-2)/(-9)*(-78 - -75). Let o = -17 + 16.97. What is the nearest to 2 in 0.5, o, p? 0.5 Let j = -3017 - -3019. Let o = -1/15 + -23/105. Which is the closest to o? (a) 1/8 (b) -1/3 (c) j b Let v = -160 + 4016/25. Let x = v - -501/350. Let k = 11/7 - x. What is the nearest to 2 in -1/3, k, 0? 0 Let x = -52 - 77. Let i = x + 129.364. Let s = i - 0.064. What is the nearest to 3/4 in s, 0.2, 1? 1 Suppose 1 = -5*z + 6. Suppose 0 = 6*u + 3 - 9. Let h be (u/(-2) - -2)/((-13)/(-26)). Which is the closest to z? (a) -4 (b) -3 (c) h c Let v = -2761 + 2762. Let b = 5.5 - 5. What is the nearest to 4 in b, -2/7, v? v Let u = 49179 - 49177. Which is the closest to u? (a) -5 (b) -1/2 (c) 0.5 (d) -19 c Suppose 3*m - 270 = -3*j, -5*m + m + 3*j = -381. Let a = 94 - m. Let k be 3 + (-44)/8 + a. What is the nearest to 2/5 in k, 5/6, -2/13? 5/6 Let q = -55885/4 + 13971. What is the closest to 5 in 4, q, -2/13, 66? 4 Let i be (-3 - 320/(-108)) + 24/216. Which is the nearest to 0? (a) -3 (b) -4 (c) 0 (d) i c Let b = -14319.5 + 14320. What is the nearest to -23/10 in 0.1, b, -4/3? -4/3 Let r = -1536.965 - -1376. Let o = -165 - r. Let f = 0.035 + o. What is the closest to 5 in 2, f, 1? 2 Let b = -262 - -285.39. Let p = b - -0.61. Let g = 24.1 - p. What is the nearest to 0.1 in g, -0.1, -2? g Let r be (2 + 0)*106/636. Let h be (2 - (1 + 1)) + 12/(-48). Which is the closest to h? (a) -2 (b) r (c) -4 b Let z = 764 + -770. Let q = -9.958 - 0.042. Let w = -9.9 - q. What is the nearest to -2/5 in z, -4, w? w Let n = 33.4334 + -33.4. Let b = n + 0.9666. What is the nearest to -0.099 in b, 0.4, 0? 0 Let z(g) = 2*g**3 + 2*g**2 - g + 1. Suppose 10 = -4*p + 2*f, 0*p - p - 1 = f. Let u be z(p). Let a = 420 + -418. What is the nearest to -1/4 in u, a, -0.2? -0.2 Let s = -20158 + 20162. Which is the closest to 0.11? (a) -34 (b) 1 (c) -3 (d) s b Let s be (-2)/(-4)*(25 - 3). Let g = -11301/28240 - -1/5648. Which is the closest to s? (a) -1/7 (b) g (c) 0.8 c Let v(h) = 5*h**3 + 40*h**2 + 57*h - 20. Let z be v(-6). Suppose s = 3*s - 4. Which is the closest to -2? (a) z (b) s (c) 1/5 a Let n = 16476.6 + -16477. What is the closest to -2/5 in n, 0.4, -1.5, -24? n Let j = 10.041 - 13.041. What is the closest to 0.2 in j, 2/7, 17? 2/7 Suppose 5*m + 2 = 2. Suppose s - 10 = -2*f, -4*f + m*f = -4*s + 4. Suppose -24 = -o + 3*o - s*z, 0 = -2*z + 10. What is the closest to -5 in -1, 0.02, o? o Suppose -8*k + 11*k + g = 26, -13 = 2*k + 5*g. Which is the nearest to -0.08? (a) k (b) -2 (c) -1 (d) 5 c Let j be (11/(-2))/(2/4). Let b = 879 - 4393/5. What is the nearest to 2/9 in b, j, -0.5? b Let y = 1.9 + -23.9. Let n = 21.979 + y. Let h = 0.089 - n. Which is the closest to 0? (a) h (b) 5/4 (c) 2/9 a Let x(r) = r**3 - 16*r**2 + 14*r + 19. Let l be x(15). Let o be (-3 - -6 - 5) + l + -2. What is the closest to o in 2/15, 2, -3? 2/15 Let u = 46 - 136/3. Let l(i) = i + 34. Let h be l(-3). Suppose -3*m = -y - 9, -26*m - 15 = y - h*m. Which is the nearest to y? (a) -3 (b) u (c) -0.2 c Suppose 2*y = 10, 5*v = y - 5*y + 15. Let i be (2 + 42/(-24))/v. Let t be 2*(-9)/12 + -1. Which is the nearest to i? (a) 0.1 (b) t (c) 5 a Let q = 0.151 - -0.459. Let t = 0.19 + q. Which is the closest to t? (a) -0.3 (b) 3/4 (c) 0.1 (d) 1 b Suppose 42*n - 37*n + 25 = 0, -s = -3*n - 14. Which is the closest to s? (a) 3 (b) 0 (c) 7 (d) -31 b Let t = 19.755 - 22.755. Which is the nearest to 0.1? (a) 535.3 (b) 0.1 (c) t b Suppose -1829 + 427 = -74*j + 596. Which is the closest to 5? (a) j (b) -0.6 (c) 0.4 c Let h = -0.17 - 128.83. Let j = -124 - h. What is the nearest to -1/2 in 1/4, 0.7, j? 1/4 Let d(u) = -2*u**2 + 80*u - 154. Let b be d(2). Let x = 1.96 + -0.06. Let c = x + 6.1. What is the nearest to c in -1, 5/2, b? 5/2 Let w(f) = f**2 + 5*f - 150. Let n be w(10). What is the nearest to n in -1, 0.04, 0.07, 5? 0.04 Let p(z) = -2*z - 116. Let g be p(-56). Let a = 1.4 + -1.3. What is the closest to a in 4/9, 0.11, g? 0.11 Let v = 206/5 - 41. Let m = 119265 - 119266. Which is the nearest to 2/3? (a) v (b) m (c) 5 a Let m be (6/(-24))/((-3521)/(-1764) - 2). Which is the nearest to -1? (a) m (b) 9 (c) 1/4 c Let d = 23665889/200074 + 1/28582. Let m = 119 - d. Which is the closest to -2/3? (a) 2/17 (b) 0.5 (c) m a Let z = -1 - -0.7. Let b(a) = 8*a**2 + 10*a + 12. Let d be b(-1). Let q be ((-28)/(-35))/((-4)/d*7). What is the closest to q in 0, 2, z? z Let h = -5/36 - 1/9. Let o = -21 + 21.32. Let y = 1450 + -1449. What is the nearest to 0 in h, o, y? h Let z be (-1 - (2 + -5))*(-15 - 1485/(-90)). Let n = 0.2 - 0.3. Let k = 0.2 + n. Which is the nearest to k? (a) -3/4 (b) -2/3 (c) z b Let f = 23.1 - 23. Let u = -402 - -404. What is the closest to 15 in f, u, 0.2? u Let o = 17.6 + -17.9. Let v = -0.07 - 2.93. Let h = 28 - 28. Which is the closest to -2/5? (a) h (b) v (c) o c Let w = 8 + -12. Suppose -4*y - 183 - 355 = a, 5*a - 660 = 5*y. Let x = y - -1208/9. What is the nearest to w in 2, x, 3? x Let i = -12061 + 36188/3. What is the nearest to i in -4, 7, 0.3? 0.3 Suppose 25*d = 35 + 115. Let s be -5*10/150 - (-2)/d. Let j(h) = 2*h**3 - h**2 - h + 1. Let l be j(1). What is the closest to s in -0.3, -2/3, l? -0.3 Let i = 662 + -934. Let o = i + 272. Which is the closest to 0.06? (a) o (b) 4 (c) 0.1 c Let x = 5.98 - 6. Let y = -0.22 - x. Suppose 0 = 22*q + 20 + 46. Which is the nearest to y? (a) -2 (b) q (c) 3/7 c Let d = 7/244 - -223/732. Let k = 5 + 2.5. Let y = -7 + k. What is the nearest to y in -2, d, -1/2? d Let z be 2/27 - 13289/2619. What is the nearest to 14.28 in -2/3, -1, -0.2, z? -0.2 Let w = 62 + -65. Let s = -504/23 - -22. Which is the closest to 18/7? (a) w (b) -0.5 (c) s c Let o = -2197/330 + -1/110. Let q = o + 109/15. Let l = -0.003 - -0.003. What is the closest to -1/6 in -5, q, l? l Let o = -1.454 - -1.654. Let u = -14.3 + 15. What is the closest to o in -0.2, -0.4, u? -0.2 Let n = -91/12 + 53/6. Let s = 29 - 29.09. What is the nearest to 2 in -2, n, s? n Let z = -10220.1 - -10220. Which is the closest to 2? (a) 0.3 (b) 2/23 (c) -5 (d) z a Suppose 3*j = 5*l + 2095 - 2106, 2*l + 5*j = -70. Let h = 4 + -8. Let z = 1.8 + -2. Which is the nearest to z? (a) -0.1 (b) l (c) h a Let x = -71.951 + -4.049. Which is the closest to 0.2? (a) 6/7 (b) x (c) 2/7 c Suppose -46*n + 51*n = -2*v - 747, v + 447 = -3*n. What is the closest to n in -1, 0.3, 0.5, 0.1? -1 Suppose -18 + 30 = 3*j. Let r be (-5 - (-1)/1) + -5 + j. Let d be -4 - -3 - r/((-5)/3). Which is the closest to 6/5? (a) 1/3 (b) d (c) -1/10 a Let h = 7.977 - 8.277. Which is the nearest to -666? (a) h (b) -1 (c) 0.4 b Let v = 174.6 + -174.4. Which is the nearest to 1.1? (a) -1/4 (b) -0.04 (c) v (d) -2 c Let g = -3824 - -80302/21. What is the closest to g in 0, -5/6, -3/2? 0 Let k = -3 - 0. Let i = 46 + -45.9. Let w = 192 + -188. What is the nearest to i in k, w, -5? k Suppose 0 = -4*d - 19*k + 17*k - 36, -5*d - k = 33. What is the closest to d in 2, 12, 3? 2 Let u = -2018/15 - -26264/195. Which is the closest to -27? (a) u (b) 3/10 (c) 3/7 a Let t = -6052.7 - -6056.7. Let f be (1/(-2))/((-1)/4). Which is the nearest to f? (a) 11/6 (b) t (c) 3 a Let f be (-15 + -4)*(-2)/48. Let g = 391/312 - f. Let v = 31/39 - g. Which is the closest to v? (a) -0.3 (b) 0.02 (c) 3 b Let p = -234.44 + 234.38. Which is the nearest to -2/3? (a) 2/7 (b) p (c) -1/7 (d) -0.08 c Let j be (-11 + 3 + 0)/(-2). Suppose -6*k = -257 + 113. Let q be k/4 - 39/6. Which is the closest to q? (a) -0.5 (b) 2/19 (c) j a Let d be (-9 - -6) + 4 + 5. Let f = -19/3 + d. Which is the closest to f? (a) 0.1 (b) -3 (c) 1 a Let d = -11.39 + 7.39. Suppose -5*w + 100 = 5. Which is the closest to 1/2? (a) d (b) -2/7 (c) w b Suppose 123 = -114*z - 105. What is the nearest to -15 in z, 1, 7? z Suppose 4*y + 2*y = 24. Let x be 0*(y/2 + -3). Suppose -3 = -x*s + s. What is the cl
{ "pile_set_name": "DM Mathematics" }
(base 13) to base 9. -48 Convert 98 (base 11) to base 2. 1101011 -2 (base 14) to base 5 -2 Convert 123 (base 12) to base 9. 210 Convert 23 (base 7) to base 2. 10001 What is 120 (base 7) in base 10? 63 What is 2201 (base 4) in base 14? b7 Convert -2 (base 7) to base 12. -2 What is 1310 (base 5) in base 9? 247 Convert 40 (base 6) to base 3. 220 What is -4 (base 11) in base 7? -4 Convert 3 (base 11) to base 13. 3 What is -3 (base 14) in base 2? -11 -2 (base 6) to base 4 -2 -3 (base 9) to base 8 -3 Convert -1 (base 6) to base 8. -1 230 (base 4) to base 15 2e Convert -14 (base 7) to base 4. -23 What is 3 (base 4) in base 6? 3 Convert 39 (base 10) to base 8. 47 Convert -15 (base 12) to base 16. -11 -38 (base 13) to base 3 -1202 -2 (base 12) to base 9 -2 What is -220 (base 4) in base 3? -1111 Convert -222 (base 6) to base 4. -1112 Convert -45 (base 13) to base 15. -3c -2 (base 5) to base 11 -2 What is 1333 (base 4) in base 2? 1111111 -110 (base 2) to base 14 -6 Convert -10 (base 4) to base 11. -4 What is 45 (base 7) in base 6? 53 112 (base 3) to base 4 32 -22 (base 4) to base 12 -a 8 (base 11) to base 3 22 What is -2 (base 10) in base 7? -2 What is c (base 15) in base 3? 110 What is -1 (base 4) in base 2? -1 What is -2 (base 9) in base 15? -2 What is -8d (base 14) in base 12? -a5 34 (base 14) to base 16 2e -424 (base 5) to base 11 -a4 Convert 10 (base 2) to base 15. 2 2 (base 11) to base 15 2 -24 (base 5) to base 13 -11 -6 (base 16) to base 2 -110 Convert 1010 (base 3) to base 5. 110 Convert 1021 (base 4) to base 7. 133 Convert -6 (base 7) to base 6. -10 Convert -2 (base 13) to base 5. -2 What is -8 (base 14) in base 10? -8 What is -147 (base 10) in base 16? -93 Convert 11 (base 14) to base 15. 10 28 (base 15) to base 8 46 Convert 6 (base 15) to base 9. 6 Convert 5 (base 6) to base 13. 5 Convert 5 (base 16) to base 14. 5 Convert -2 (base 7) to base 14. -2 What is -23 (base 5) in base 13? -10 What is 2 (base 6) in base 3? 2 What is -1 (base 13) in base 11? -1 What is 2 (base 4) in base 10? 2 -2 (base 11) to base 13 -2 What is -13 (base 10) in base 2? -1101 What is -26 (base 15) in base 7? -51 Convert 23 (base 9) to base 5. 41 What is -5 (base 8) in base 3? -12 -4 (base 12) to base 3 -11 Convert -3 (base 4) to base 13. -3 2 (base 3) to base 6 2 What is -4 (base 5) in base 14? -4 -3 (base 8) to base 16 -3 -80 (base 13) to base 12 -88 -3 (base 4) to base 8 -3 -10 (base 4) to base 10 -4 Convert 10 (base 8) to base 4. 20 Convert -b6 (base 12) to base 5. -1023 Convert -2 (base 6) to base 2. -10 What is 112 (base 4) in base 7? 31 Convert -26 (base 8) to base 16. -16 Convert -22 (base 5) to base 13. -c Convert 2101 (base 3) to base 12. 54 Convert -3 (base 14) to base 10. -3 What is 2 (base 10) in base 16? 2 What is -11 (base 2) in base 14? -3 7 (base 12) to base 11 7 What is -6 (base 7) in base 11? -6 Convert -201 (base 3) to base 13. -16 Convert -312 (base 6) to base 2. -1110100 What is -35 (base 15) in base 4? -302 What is -14 (base 13) in base 14? -13 What is 46 (base 14) in base 12? 52 -42 (base 7) to base 8 -36 What is 11110 (base 2) in base 4? 132 Convert 3 (base 16) to base 2. 11 -10 (base 2) to base 11 -2 3 (base 4) to base 14 3 Convert -170 (base 12) to base 16. -e4 What is -10 (base 3) in base 8? -3 Convert -4 (base 12) to base 14. -4 -204 (base 5) to base 6 -130 15 (base 11) to base 9 17 0 (base 9) to base 5 0 6 (base 9) to base 3 20 What is -1 (base 11) in base 16? -1 What is 2 (base 10) in base 12? 2 What is -7 (base 8) in base 14? -7 Convert 6 (base 15) to base 10. 6 Convert 2 (base 4) to base 5. 2 Convert -311 (base 4) to base 8. -65 2 (base 12) to base 2 10 Convert -31 (base 9) to base 2. -11100 Convert -1011 (base 3) to base 4. -133 Convert 4 (base 8) to base 16. 4 What is -3 (base 13) in base 11? -3 7 (base 9) to base 10 7 Convert 0 (base 4) to base 15. 0 What is -3 (base 12) in base 2? -11 Convert -11 (base 4) to base 14. -5 -6 (base 15) to base 16 -6 What is -2 (base 9) in base 15? -2 Convert 5 (base 7) to base 15. 5 What is 102 (base 3) in base 9? 12 What is -1 (base 4) in base 5? -1 What is -3f (base 16) in base 9? -70 23 (base 5) to base 2 1101 Convert 1 (base 15) to base 11. 1 What is -19 (base 14) in base 4? -113 8d (base 16) to base 10 141 -58 (base 13) to base 4 -1021 What is 88 (base 9) in base 7? 143 1 (base 8) to base 12 1 What is 3c (base 13) in base 15? 36 208 (base 9) to base 12 122 11010 (base 2) to base 3 222 Convert 11b (base 16) to base 12. 1b7 3 (base 12) to base 7 3 Convert 1 (base 4) to base 9. 1 Convert -1 (base 16) to base 5. -1 What is 10011 (base 2) in base 8? 23 What is 1110 (base 2) in base 16? e 1 (base 16) to base 8 1 What is -5d (base 14) in base 9? -102 -8 (base 16) to base 14 -8 11 (base 7) to base 11 8 -3 (base 16) to base 3 -10 Convert -66 (base 12) to base 5. -303 Convert -7 (base 13) to base 14. -7 What is 3 (base 13) in base 12? 3 Convert 4 (base 14) to base 11. 4 Convert -a (base 13) to base 3. -101 5 (base 7) to base 5 10 10 (base 2) to base 12 2 What is -1 (base 2) in base 10? -1 What is -10 (base 4) in base 13? -4 Convert 1 (base 11) to base 15. 1 111 (base 4) to base 12 19 Convert 1102 (base 3) to base 13. 2c What is -54 (base 6) in base 4? -202 What is -64 (base 12) in base 16? -4c Convert -1 (base 3) to base 2. -1 Convert -302 (base 4) to base 13. -3b Convert 2 (base 12) to base 11. 2 -2 (base 13) to base 9 -2 23 (base 4) to base 14 b What is 2020 (base 3) in base 13? 48 Convert 24 (base 16) to base 13. 2a What is -2 (base 9) in base 6? -2 -5 (base 12) to base 15 -5 What is -2 (base 5) in base 6? -2 -60 (base 12) to base 6 -200 -2 (base 11) to base 14 -2 -1211 (base 3) to base 8 -61 -18 (base 11) to base 10 -19 What is -5 (base 11) in base 12? -5 What is -3 (base 4) in base 9? -3 Convert 14 (base 10) to base 8. 16 2c (base 13) to base 10 38 What is 125 (base 7) in base 10? 68 What is 101 (base 2) in base 10? 5 What is 3 (base 5) in base 6? 3 -14 (base 5) to base 16 -9 a4 (base 12) to base 9 147 What is 11101 (base 2) in base 14? 21 What is 14 (base 6) in base 14? a Convert 11 (base 9) to base 7. 13 38 (base 9) to base 6 55 What is 4 (base 15) in base 5? 4 What is 17 (base 8) in base 4? 33 -69 (base 11) to base 7 -135 Convert -6 (base 9) to base 6. -10 What is -10 (base 3) in base 10? -3 What is -1110001 (base 2) in base 4? -1301 What is -1110 (base 2) in base 7? -20 Convert 55 (base 12) to base 10. 65 e (base 16) to base 11 13 What is 110 (base 8) in base 5? 242 Convert 101 (base 2) to base 5. 10 Convert -112 (base 7) to base 5. -213 -42 (base 10) to base 11 -39 Convert -3 (base 15) to base 16. -3 4 (base 6) to base 4 10 What is 7 (base 8) in base 4? 13 Convert -308 (base 9) to base 6. -1055 Convert -3 (base 8) to base 2. -11 What is -12 (base 14) in base 10? -16 What is -52 (base 6) in base 4? -200 Convert -200 (base 5) to base 6. -122 Convert -63 (base 12) to base 4. -1023 2 (base 8) to base 15 2 What is 2233 (base 4) in base 13? 106 1 (base 2) to base 5 1 3c (base 13) to base 3 1220 Convert 8 (base 15) to base 9. 8 Convert -3 (base 13) to base 14. -3 Convert -a (base 13) to base 4. -22 33 (base 8) to base 11 25 What is 1111 (base 2) in base 13? 12 Convert 11 (base 2) to base 4. 3 -21 (base 10) to base 13 -18 What is -4 (base 8) in base 14? -4 Convert -1 (base 3) to base 15. -1 Convert -157 (base 9) to base 11. -111 What is -3 (base 12) in base 7? -3 What is 6 (base 9) in base 4? 12 Convert -3 (base 4) to base 13. -3 11 (base 3) to base 14 4 What is -31 (base 8) in base 4? -121 What is -3221 (base 4) in base 10? -233 2 (base 10) to base 11 2 101 (base 8) to base 9 72 Convert 116 (base 8) to base 11. 71 -11 (base 2) to base 13 -3 -7 (base 16) to base 12 -7 What is 37 (base 14) in base 8? 61 What is 20210 (base 3) in base 14? d1 Convert -1 (base 10) to base 6. -1 1 (base 11) to base 2 1 Convert -13 (base 9) to base 16. -c Convert 8d (base 14) to base 16. 7d What is -4 (base 14) in base 9? -4 -1 (base 11) to base 4 -1 -152 (base 12) to base 6 -542 -111 (base 5) to base 14 -23 What is -100010 (base 2) in base 15? -24 What is 0 (base 14) in base 12? 0 Convert 40 (base 14) to base 5. 211 Convert 4 (base 16) to base 6. 4 0 (base 6) to base 5 0 -32 (base 10) to base 7 -44 -11 (base 7) to base 11 -
{ "pile_set_name": "DM Mathematics" }
65132 = 0. What is w rounded to the nearest 1000? -79000 Let l = 0.16387 + 339.27613. Let u = -371 + l. Let h = u + 5.46. Round h to the nearest integer. -26 Let p = -0.9 + 0.864. Let w = -1216.03708 - -1216. Let l = p - w. Round l to 4 dps. 0.0011 Let s = 2735 - 1319. Let w = s + -1415.99998826. What is w rounded to six decimal places? 0.000012 Let a = -401 - -401.227. Let g = a - 0.317. Round g to one dp. -0.1 Let f = -654.35 - -120.25. Round f to the nearest ten. -530 Suppose 0 = -3*n - 7*n + 434917900. Let o = -27501790 + n. Round o to the nearest one million. 16000000 Let i = -12177.5 - -8734. Round i to the nearest 10. -3440 Suppose -187*q = -29*q - 1057494. Round q to the nearest one hundred. 6700 Let s = 39586 - 41782.1. What is s rounded to the nearest 100? -2200 Let a = 859.472 - 863. Let t = a - -3. Round t to 1 dp. -0.5 Let x = -72538.80008 - -72536. Let b = 9.1 + -6.3. Let q = x + b. Round q to four decimal places. -0.0001 Suppose 0 = -11*t - 55573 - 52007. Round t to the nearest 10000. -10000 Suppose 3*v - 23 = -14. Suppose 6*z = 3*z + 9. Let b be z/(v/(-4)) - -1480004. Round b to the nearest one million. 1000000 Let y = 9.8517 - 9.8516917114. What is y rounded to six dps? 0.000008 Let j = -7763 + 7751.6675. What is j rounded to the nearest integer? -11 Let j = -111.216 - -112. Let o = j + -0.8259. What is o rounded to 2 decimal places? -0.04 Let d = 4737 - 4736.992923. Round d to 4 decimal places. 0.0071 Let j = -2.70296 - -0.26486. Let k = j + 2.49. What is k rounded to 3 dps? 0.052 Let n = 151.68 + -6010.48. Round n to the nearest one hundred. -5900 Let p = 51444.9999944982 + -51445. Round p to seven decimal places. -0.0000055 Let a = -1068878415498.999999447 - -1068878416107. Let f = 608 - a. Round f to seven decimal places. -0.0000006 Let q = 28267.6 - 25896. Let f = -2627 + q. Round f to the nearest 10. -260 Let v = 49.993 + -50.19607. Round v to three decimal places. -0.203 Let m be ((-148882237)/(-196))/((-2)/(-16)). Suppose 0 = -5*s - m + 941826. Round s to the nearest ten thousand. -1030000 Let s = 1825.70153 + 0.43097. Let z = 1837.93249608 - s. Let f = z + -11.8. What is f rounded to seven dps? -0.0000039 Let q be (-132)/(-792) + (-467940001)/6. Round q to the nearest one million. -78000000 Let g = -198 - -200.7. Let f = 2.04 - g. What is f rounded to two dps? -0.66 Let u = -44671546 - -31444937. Let q = u + 13226617.999999. Let l = 9 - q. What is l rounded to 5 dps? 0 Let n be 75452/(-182) - (-18)/(-42). Suppose -3*d = 7 + 8. Let w be d + n*(0 - -1). What is w rounded to the nearest one hundred? -400 Let a = 0.010863 - 0.01086185645. What is a rounded to 7 decimal places? 0.0000011 Let v = 45150 + -106011. Let p = -42261 - v. What is p rounded to the nearest one thousand? 19000 Suppose -32*p - 40 = -31*p. Let g be (-4)/3 - (-2)/(-3). Let q be g + ((-2)/4)/(10/p). Round q to the nearest one million. 0 Let q = 13655.3279603 - 13654.38. Let y = -0.938 - 0.01. Let u = q + y. Round u to six dps. -0.00004 Let u = -6023 + -5974. Let y be (7 - 801)/(u/3000 + 4). What is y rounded to the nearest 10000? -790000 Let r = 112.13465 - 111.82. Let g = -2.013 + 2.32. Let f = g - r. Round f to three decimal places. -0.008 Let n = -3784.115 - -3762. Let w = -0.085 + n. Round w to the nearest integer. -22 Let n = -28.146 - -28.145982736. Round n to 6 dps. -0.000017 Let c = 1156.76 + 298.54. Let j = -1369 + c. Let n = j - 88. What is n rounded to the nearest integer? -2 Let n = 24.2734 - 24.3. Let s = n - -0.026369. What is s rounded to 4 decimal places? -0.0002 Let z = 52.59 - 0.59. Let f = z + -55.56. Let v = f - -3. Round v to one decimal place. -0.6 Let s = -12255.87 + 12045. What is s rounded to 0 decimal places? -211 Let p(d) = -4*d - 8. Let x be p(-6). Let q(n) = -x*n**2 - 5*n - 13 + 2*n**2 - 12 + n**3. Let f be q(15). What is f rounded to the nearest ten? 130 Let i = 105377.03 + -105382.2700716. Let l = -5.24 - i. What is l rounded to six decimal places? 0.000072 Let a = -11.2601 + 10.704. What is a rounded to two decimal places? -0.56 Let z = -5.313 + 5.31306832. Round z to six dps. 0.000068 Let h = 39853369.000857 - 39853654. Let m = h - -285. Round m to four dps. 0.0009 Let v(r) be the third derivative of -r**5/12 + 11*r**4/12 - 2*r**3/3 + 999*r**2. Let d = 4 - 22. Let a be v(d). Round a to the nearest 100. -2000 Let q = 351.65 - -0.35. Let u = 383.8 - q. Round u to the nearest integer. 32 Suppose 4*f + 0*y = 4*y, f + 4*y = 10. Suppose a - 3*l = 20, f = l - 3. Let p = a - 32. What is p rounded to the nearest ten? 0 Let d be (15/6)/(4 - (-209569)/(-52392)). Round d to the nearest one thousand. -131000 Let c = -26 - -13. Let w = -1253671808 - -1253671820.99999981. Let r = w + c. Round r to 7 decimal places. -0.0000002 Let t = 885 - 838. Suppose t*n - 30375 = 2*n. What is n rounded to the nearest 100? 700 Let m(n) = -7800001*n**2 + 4. Let f = -30 - -32. Let q be m(f). What is q rounded to the nearest 1000000? -31000000 Let l = -5.105 + 60.775. Let f = l + -56. Let q = f - -0.307. Round q to two decimal places. -0.02 Let n = 10.4 + 15.9. Let b = 30.4 - n. Round b to the nearest 10. 0 Let a = -15.4 - -105.4. Let i = 90.404 - a. Round i to two dps. 0.4 Let l = -469.61452 - -455.614. Let w = -1.66 + -12.34. Let n = w - l. What is n rounded to 4 dps? 0.0005 Let l = 2.82 + -291.82. Let o = l - -290.23. Let v = o + -0.03. What is v rounded to the nearest integer? 1 Let i = 5584 - 5584.3559. What is i rounded to 1 decimal place? -0.4 Let q be ((-3)/3)/((-6)/552*4). Let a(o) = 9*o**2 - 72*o - 5. Let h be a(q). What is h rounded to the nearest one hundred? 3100 Let l = -12882522517 + 12882522392.00000494. Let g = l - -125. What is g rounded to five dps? 0 Suppose -5*p - 238*h = -242*h - 70829992, -3*h = 3*p - 42498006. What is p rounded to the nearest 100000? 14200000 Let h = 356 + -699. Let f = -343.000916 - h. Round f to 5 decimal places. -0.00092 Let q = -99731 - -99686.097. Let u = q + 44.4. Let h = u - -0.764. Round h to two decimal places. 0.26 Let g = 1306 - 1307.764. What is g rounded to two decimal places? -1.76 Let c = -1668.50283 - -2586.51004. Let l = -918 + c. Round l to three decimal places. 0.007 Let q = 983.465 - 977. Let b = q - 6.4644742. Round b to 5 dps. 0.00053 Let o = 11027406 - 11027515.0003325. Let f = o + 109. What is f rounded to 5 decimal places? -0.00033 Let j = -25402 + 25401.99996294. What is j rounded to 4 dps? 0 Let w = -35755148731 - -35756900690.86591. Let n = 1751067.86591733 - w. Let p = n - -892. What is p rounded to six decimal places? 0.000007 Let g(q) = -3928*q**2 + 104*q + 32. Suppose 384 = -22*w + 38*w. Let i be g(w). What is i rounded to the nearest one hundred thousand? -2300000 Let f = 8283.99 - 8319. What is f rounded to one decimal place? -35 Let v = 2638 + -3865. Let k = v + 1226.998562. Round k to 4 decimal places. -0.0014 Let m = 9 + -86. Let z = 47 - m. Let b = -124.000126 + z. Round b to five decimal places. -0.00013 Let d = 14177679178 + -14177679351.99999646. Let k = 0.31 - 174.31. Let y = d - k. Round y to seven decimal places. 0.0000035 Let w = 202 - 61. Let k = 141.059 - w. Round k to 2 decimal places. 0.06 Let j = 273503343615.000006445 + -273503341937. Let m = j - 1678. Round m to six decimal places. 0.000006 Let b = 59 + -55. Let c be (11 - 3)*(-9)/b. Let j(z) = -z**3 - 12*z**2 - 18*z - 18. Let a be j(c). What is a rounded to the nearest 100? 2300 Let x = -0.19 - 0.27. Let k = 0.4184 + 0.0236. Let r = x + k. Round r to three dps. -0.018 Let v = 18 - 57. Let t = v - -39.0688. Round t to two dps. 0.07 Let c = -4.48 + 3.5. Let l = -0.02 + c. Let t = l + 1.11. What is t rounded to one dp? 0.1 Suppose 26 = 2*f + 4*r, -f - r + 17 = 3*f. Let u be (-23)/(-4)*72/f. Suppose 5*m = -u - 207. What is m rounded to the nearest ten? -70 Let b = -41.83797232 - -0.83798. Let t = -41 - b. What is t rounded to six dps? -0.000008 Let b = -71.2017048 - -71.2. What is b rounded to four decimal places? -0.0017 Let l be 1 + -3 - (2 - 7). Suppose h - 14800 = l*h. Round h to the nearest 1000. -7000 Let d = 6538.999973844 + -6539. Round d to seven decimal places. -0.0000262 Let n = -56.2 + 5.2. Let i = -58.9 - n. Let y = -7.9000233 - i. Round y to 5 decimal places. -0.00002 Let b = 77.5708726 + -77.563
{ "pile_set_name": "DM Mathematics" }
8*f - 2. Calculate 9*u(w) + 2*v(w). 2*w**2 - 4*w - 2 Let k(h) be the third derivative of h**5/10 - 7*h**4/6 + h**3/3 + 133*h**2. Let f(p) = -4*p**2 + 19*p - 1. What is 7*f(n) + 5*k(n)? 2*n**2 - 7*n + 3 Let b(x) = 402*x - 19. Let c(q) = 141*q - 6. Give 4*b(z) - 11*c(z). 57*z - 10 Let k be (6 + (-3)/(-9) + (-451)/66)*-12. Let l(x) = -17*x**3 - 8*x**2 + 6*x + 11. Let n(f) = -8*f**3 - 4*f**2 + 3*f + 5. Calculate k*l(c) - 13*n(c). 2*c**3 + 4*c**2 - 3*c + 1 Suppose -o + u = 13 + 10, -3*u - 11 = 2*o. Let g(p) = -36*p**2 - 36*p - 26. Let r(k) = 7*k**2 + 7*k + 5. What is o*r(w) - 3*g(w)? -4*w**2 - 4*w - 2 Let h(s) = -5*s**2 + 36. Let y(v) = 14*v**2 - 108. Let z be 3*(8 - (17 - 11)). Calculate z*y(l) + 17*h(l). -l**2 - 36 Let h(l) = 7*l**3 - 9. Suppose 5*a + 12 = -2*p, -81*p + 4*a = -76*p - 36. Let r(u) be the second derivative of 3*u**5/10 - 4*u**2 + u. Give p*h(d) - 5*r(d). -2*d**3 + 4 Let n(w) = -1915*w - 11. Let s(o) = 1909*o + 13. Give -6*n(q) - 5*s(q). 1945*q + 1 Let z(w) = 2*w - 1. Let u(r) = -5*r + 756. Calculate -u(f) - 2*z(f). f - 754 Let n(m) = -28*m**2 + 3*m - 13. Let z(q) = -28*q**2 + 3*q - 13. Give 3*n(w) - 2*z(w). -28*w**2 + 3*w - 13 Let y(q) = -2*q**3 + 5*q**2 + 4*q. Let f(b) = -3*b**3 + 9*b**2 + 7*b. Let h(x) = -x + 6 + 3*x + 2. Let k be h(5). Suppose 6 - k = -3*o. What is o*f(u) - 7*y(u)? 2*u**3 + u**2 Let b = 4 - 10. Let d(u) = 5*u - 2. Let g(f) = -29*f + 11. Let r(a) = 34*d(a) + 6*g(a). Let s(c) = -11*c - 6. Suppose 11*l = 13*l - 34. What is b*s(y) + l*r(y)? -2*y + 2 Let k(q) = -15*q + 84. Suppose -11*t + 86 = 20. Let a be k(t). Let j(c) = 5*c**2. Let i(u) = -30*u**2. Give a*i(h) - 35*j(h). 5*h**2 Suppose -3*s + 5*m - m = -6, 0 = -3*s - 2*m + 6. Let o(a) = 1 - 31*a - s + 32*a. Let l(n) = -1 + 9 - 3*n + 0 + 2 - 3. Give l(p) + 4*o(p). p + 3 Let n(m) = 4*m**2 - 2*m - 3. Suppose -49*c + 13*c = -17*c - 1843. Suppose 0*l - 192 = -2*l. Let k = l - c. Let u(i) = -i**2 + 1. Give k*n(o) - 2*u(o). -2*o**2 + 2*o + 1 Let p(v) = 8*v**2 - 8*v + 6. Let u = 310 + 42. Suppose -12*m - u = -44*m. Let y(b) = 15*b**2 - 15*b + 11. Calculate m*p(x) - 6*y(x). -2*x**2 + 2*x Suppose 13 + 11 = 4*k. Let b(z) = -8*z**2 - z + 6. Let o(a) = -8*a**2 - a + 5. Let c = 937104 - 937109. Give c*b(s) + k*o(s). -8*s**2 - s Let m(g) = 5*g**2 + 46*g - 699. Let w(t) = -21*t**2 - 207*t + 2795. Determine 9*m(a) + 2*w(a). 3*a**2 - 701 Let b(q) = q**3 - q**2 - 1. Let i(m) = 3*m**2 - 32 + 13 + 13 + 5*m**2 - 14*m**2 + 8*m**3. Calculate -4*b(w) + i(w). 4*w**3 - 2*w**2 - 2 Let x(t) = -2*t**3 - 123*t**2 - 64*t - 169. Let h be x(-61). Let q(v) = 21*v. Let j(l) = -63*l. Give h*q(n) + 5*j(n). -21*n Let k(g) = 129*g + 15094. Let u be k(-117). Let o(i) be the first derivative of -9*i**4/4 - 3*i**2/2 - i + 5. Let m(y) = -y**3. Determine u*o(d) - 6*m(d). -3*d**3 - 3*d - 1 Let c(i) = -11*i**2 - 63*i - 15. Let k(o) = -30*o**2 - 188*o - 42. Calculate 8*c(x) - 3*k(x). 2*x**2 + 60*x + 6 Let w(f) = 28 + f**2 + 12 - f - 39. Suppose -7*d + 20 = -2*d. Let j(k) = k**2 + 0*k**2 - d + 4. Give 2*j(h) - w(h). h**2 + h - 1 Let l(h) = -2*h**2 - h. Let p(m) = 2455*m**3 + 6*m**2 + 4*m. Determine 4*l(v) + p(v). 2455*v**3 - 2*v**2 Let y(s) = -9*s**2 + 148*s + 11. Let o(n) = 32*n**2 - 444*n - 32. Give -2*o(m) - 7*y(m). -m**2 - 148*m - 13 Let x(j) = -3*j**2 - 1622*j + 18. Let s(q) = 5*q**2 + 3243*q - 33. Give -6*s(g) - 11*x(g). 3*g**2 - 1616*g Let j(m) = -2*m**3 - 169*m**2 - 2*m. Let x(p) = -3*p**3 - 166*p**2 - 2*p. Calculate -3*j(c) + 4*x(c). -6*c**3 - 157*c**2 - 2*c Let v(b) = -7*b + 5. Let n be 8/(5 + -3) - 1. Suppose -8 = 2*p - 2*l, 0 = -2*p + 15*l - 20*l - 36. Let w(s) = -20*s + 14. What is n*w(f) + p*v(f)? -4*f + 2 Let d(f) be the third derivative of -f**6/720 + 23*f**4/24 + 232*f**2. Let k(o) be the second derivative of d(o). Let m(q) = 2*q - 1. What is k(t) + m(t)? t - 1 Let j(h) = -17*h - 9. Let d(n) = 173*n - 5 - 69*n - 64*n - 48*n. Give -9*d(r) + 4*j(r). 4*r + 9 Let n(r) = r**3 - 12*r**2 - 6*r - 19. Let s be n(13). Let l(o) = -334*o**2 - 342*o**2 - 353*o**2 + 1009*o**2. Let b(z) = z**2. Determine s*b(v) + 4*l(v). -8*v**2 Let a(b) be the third derivative of -b**4/4 + 2*b**3/3 + 35*b**2. Let r(k) = -k + 1. Let g = -24 + 41. Suppose -5*p + g = -3. Determine p*r(t) - a(t). 2*t Let i(v) = 355*v**3 + 11*v**2 - 23*v + 11. Let z(y) = -178*y**3 - 6*y**2 + 12*y - 6. Determine -6*i(k) - 11*z(k). -172*k**3 + 6*k Let r be (-207 - -208)/((-1)/4). Let f(j) = -2*j. Let d be -2 + (-24)/10 - 2/(-5). Let g(b) be the second derivative of b**3/6 + b. Determine d*g(h) + r*f(h). 4*h Let j(m) = 16*m - 3. Let f(a) = -91*a + 1916. Let b be f(21). Let x(h) = 32*h - 5. Calculate b*j(r) - 3*x(r). -16*r Let n(f) be the second derivative of 11*f**4/12 + f**3/6 + 5*f**2/2 - 462*f. Let h(r) = 6*r**2 + r + 3. Determine -5*h(a) + 3*n(a). 3*a**2 - 2*a Let j(p) = -p**2 - 1. Let m(b) = 83*b**2 + 10. What is 5*j(g) + m(g)? 78*g**2 + 5 Let a(n) = -3*n - 219. Let l(o) = o + 101. What is -6*a(g) - 13*l(g)? 5*g + 1 Let u(d) = -13*d - 1136. Let q(s) = 7*s + 566. Determine -11*q(h) - 6*u(h). h + 590 Let f = -757 - -762. Let n(o) = 4*o**3 - 2*o**2 + 5. Let r(l) = 2*l**3 - l**2 + 2. Give f*r(z) - 2*n(z). 2*z**3 - z**2 Let b(n) = 133*n - 169. Let q(t) = -46*t + 57. Calculate -4*b(y) - 11*q(y). -26*y + 49 Let k(m) = 19*m**3 - 1841*m**2 - 11*m - 7. Let p(a) = 6*a**3 - 617*a**2 - 3*a - 2. Calculate -2*k(l) + 7*p(l). 4*l**3 - 637*l**2 + l Let z(n) = 15*n + 280. Let h(p) = 8*p + 130. Let u(o) = -13*h(o) + 6*z(o). Let i(v) = -9*v - 7. Give -8*i(f) + 5*u(f). 2*f + 6 Let h(w) = 56*w - 2. Let s(b) = -4*b**3 + 80*b**2 - 7*b + 143. Let y be s(20). Let r(c) = -111*c + 3. Give y*r(z) + 5*h(z). -53*z - 1 Let t(i) = 1712392*i**3 - 5742*i**2 - 5742*i + 1914. Let b(m) = -4471*m**3 + 15*m**2 + 15*m - 5. Give 1914*b(p) + 5*t(p). 4466*p**3 Let t(p) = p**2 + 17*p - 10. Let m(b) = 24*b - 10. What is -2*m(x) + 3*t(x)? 3*x**2 + 3*x - 10 Suppose -s - 8 = -12, 2*z + s = 1270. Suppose 0 = -10*n - 213 + z. Let r(p) = 17*p**2 + 5*p. Let j(k) = 144*k**2 + 42*k. Determine n*r(o) - 5*j(o). -6*o**2 Let t(o) = 5. Let s(p) = 6246 - p - 6246. Let z(h) = h**3 - 4*h**2 - 1. Let r be z(4). Let b(l) = -5*l - 11. Let u(i) = r*b(i) + 6*s(i). Give -7*t(c) + 3*u(c). -3*c - 2 Let b(a) = -3*a + 1. Let w(f) = 158*f**3 - 44*f + 12. Give -12*b(r) + w(r). 158*r**3 - 8*r Let y(n) be the first derivative of n**2/2 + 25. Let v(o) = -222*o + 672*o - 9*o**2 - 222*o - 223*o. What is -v(q) + 5*y(q)? 9*q**2 Let l(v) = 18*v - 2090. Let w(u) = 4*u - 418. What is -3*l(f) + 14*w(f)? 2*f + 418 Let h = 6121 + -6125. Let v(a) = 48*a. Let m(b) = 7*b. Give h*v(r) + 27*m(r). -3*r Let f(s) = -29*s**3 - 6*s**2 + 3*s - 928. Let a(g) = 49*g**3 + 10*g**2 - 5*g + 1857. Determine 3*a(p) + 5*f(p). 2*p**3 + 931 Let t(j) = 4*j**2 - 276*j + 279. Let v be t(68). Let h(q) = 2. Let a(w) = w + 4. What is v*h(g) - 3*a(g)? -3*g + 2 Let x(g) = 9*g - g**2 - 23*g + 7*g + 4 + 2*g**2 + 13*g. Let h(v) = 2*v**2 + 13*v + 9. Suppose -2*q + l = -29, -7*l = -4*q - 2*l + 67. What is q*x(r) - 6*h(r)? r**2 - 2 Let a(j) = -16*j**3 + 14*j**2 - 8*j + 104. Let x(i) = -4*i**3 + 3*i**2 - 2*i + 25. What is 2*a(k) - 9*x(k)? 4*k**3 + k**2 + 2*k - 17 Let t(y) = 37*y**3 - 129*y - 3 - 312*y - 3*y**2 + 444*y. Let m(h) = -112*h**3 + 10*h**2 - 10*h + 10. Give 3*m(o) + 10*t(o). 34*o**3 Let l(v) = -4299*v - 24. Let m(a) = -157016677*a - 876588. What is 73049*l(d) - 2*m(d)? -4297*d Let i(c) = -c**3 - 10*c**2 + 314*c - 2. Let j(y) = 6*y**3 + 55*y**2 - 1568*y + 11. Give 11*i(v) + 2*j(v). v**3 + 318*v Let i(v) = -911*v**3 - 6*v**2 + 2*v + 6. Let p(w) = -1818*w**3 - 13*w**2 + 4*w + 13. Calculate -13*i(d) + 6*p(d). 935*d**3 - 2*d Suppose 7*p = 4*p - 18. Let s(z) = 15*z**3 + 11*z**2. Let m(x) be the first derivative of -x**4 - x**3 - 3356. Calculate p*s(y) - 22*m(y). -2*y**3 Let z(s) = -74*s + 111. Let b(c) = c - 1. Let k = 2182 - 2071. Give k*b(y) + z(y). 37*y Let f(g) = -149*g + 10. Let j(r) = 416*r - 33. What is 7*f(u) + 2*j(u)? -211*u + 4 Let b(y) = -1. Let z(d) = d**3 - 151*d**2 - 459*d - 456. Let n be z(154). Let t(f) = f**3 - 9. Give n*b(a) - t(a). -a**3 + 3 Let u(h) be the third derivative of h**7/2520 - 7*h**4/3 - 7*h**2 + 1. Let l(t) be the second derivative of u(t). Let p(b) = -b**2. Give -5*l(d) - 4*p(d). -d**2 Let r(l) = -14*l**3 + 5*l**2 + 3*l + 5. L
{ "pile_set_name": "DM Mathematics" }
+ 18/(-171) -4 (2/8 + -2)*(-200)/(-140) -5/2 Evaluate -12 + (1*-1)/((-31)/155). -7 -5 - (2 - 3)/((-1)/(-8)) 3 Evaluate (-6 + (-182)/(-35))*10/52. -2/13 (31/434)/(2 - (-3)/(-2)) 1/7 Evaluate 10/(-30)*1/((-1)/(-15)). -5 Calculate (3/(-1530)*-17)/(1/9). 3/10 36/14*350/150 6 Evaluate 8*1 + (-756)/63. -4 What is the value of 14/56 + (-3)/(-20)? 2/5 What is the value of -5 - 1 - (100/(-10) - -2)? 2 Calculate 36/9 + 3/(42/(-62)). -3/7 What is the value of 2/(-7) + (-20)/(-70)? 0 8/136 - (-64)/68 1 What is (-26)/(-5) + 252/(-210)? 4 Calculate (4 + 0)/(-12) + 7/15. 2/15 What is 44/(-24) - -1*(5 + -3)? 1/6 Evaluate ((-91)/(-364))/(-2*2/(-16)). 1 Calculate -3*((-234)/27 - -7). 5 Calculate (770/330)/((-7)/(-18)). 6 What is the value of (-2)/2*3/9? -1/3 Calculate 6/1*9/66 - 1. -2/11 What is (-39)/6 + (16 - 7)? 5/2 Evaluate (1 - -1) + (-48)/27. 2/9 What is -4 + 33/4 + (9 - 14)? -3/4 Evaluate (1/6)/(((-14)/1)/(-84)). 1 Calculate 24/6 + -6 - 2. -4 What is the value of 20/(-25)*(-40)/(-16)? -2 Calculate -2 + (87/35 - (-4)/(-20)). 2/7 -1*(0 - (3 - 62/20)) -1/10 210/36 + -11 - -5 -1/6 Evaluate 5 + 1 - (82 - 76). 0 What is the value of (-44)/11 + (3 - 1)? -2 What is the value of (-10)/8*-6*2/20? 3/4 Calculate 24/18*(-1)/2. -2/3 3 - (-4 + (-244)/(-36)) 2/9 What is (-222)/(-714) + (-9)/21? -2/17 (-1)/(-5) - 2369/6695 -2/13 What is the value of 9/42*56/(-48)? -1/4 Calculate 18/(-66) + 18/66. 0 What is (-47)/(-9) + -5*16/360? 5 Calculate (-237)/474 - (-4)/6*2. 5/6 Evaluate -2 - (-5)/(-40)*-14. -1/4 Evaluate 144/(-504) + (-3)/14. -1/2 ((-5)/(15/(-9)))/((-3)/(-3)) 3 What is (-2)/36 + (175/(-42))/25? -2/9 -5 + 11 - (4 - 3) 5 Evaluate 36/84 + ((-12)/14)/3. 1/7 What is the value of 328/(-210) + 1 - (-12)/90? -3/7 Calculate 36/(-16)*((-4)/6)/(-1). -3/2 What is the value of -3 - 93/(-7) - 10? 2/7 What is 147/(-637) - (-93)/65? 6/5 Evaluate (-35)/12*214/(-749). 5/6 (2 - 3)/(-14 + 7) 1/7 30/(-165) + (-30)/(-286) -1/13 Evaluate (11 - 35)/8 + (3 - 0). 0 What is (-21 - -18)*(-10)/(-6)? -5 What is 6 + (-12)/2 + (-1)/4? -1/4 Calculate 6/(-15)*40/32*-6. 3 Evaluate (-568)/96 + (-12)/(-1 - 1). 1/12 Evaluate 1*-4 + -1*(-45)/9. 1 What is (6/(-10) - (-8)/80)*-2? 1 What is (2/(-4))/((-39)/468)? 6 Calculate ((-1)/3)/(2 + (-7)/2). 2/9 What is (13/14 - (-16)/28)*-2? -3 What is 62/1368*6 - (-4)/(-24)? 2/19 What is the value of (21/(-7) - -1)/8? -1/4 (-21)/((-231)/(-22)) - -6 4 Calculate (-1650)/4200 - 1/(-7). -1/4 10/(-25)*(-3 - (-7)/2) -1/5 (4 - 4)/7 - 3 -3 Evaluate 24/42*((0 - 0) + -1). -4/7 What is the value of (50/(-2300))/(2/8)? -2/23 (1/(-22)*-11)/((-3)/30) -5 What is (1/(-3)*-1)/(215/(-3870))? -6 10/12*((-9)/(-15))/3 1/6 What is (-16)/6 - (-36)/(-108)? -3 What is (6/(-81))/((-4)/(-12)) + 0? -2/9 What is the value of ((-64)/(-9))/(-4) - 16/72? -2 What is the value of (1344/36)/14*(5 - 2)? 8 Evaluate -3 - ((-42)/18*-1 + -4). -4/3 Evaluate (-10)/(-3)*5/((-75)/18). -4 (6 - 5)*(-4 - 2/2) -5 What is the value of (-1 - (-5 + 3)/4)*4? -2 What is the value of (7 - (1 - -7))/((-2)/(-4))? -2 Calculate ((-2)/(-8))/((-11)/(-176)). 4 3 + 42/(-6) - -3 -1 What is the value of 4/(-6)*(3 + (-21)/6)? 1/3 ((-3)/(-12))/((-6)/8) -1/3 What is 2/(-9) - 276/(-27)? 10 Evaluate 4/3 + (-1088)/204. -4 What is the value of (-17)/((-1683)/22)*(3 + 0)? 2/3 What is the value of 1*30/(0 - 10)? -3 -2*(236/56 + -4) -3/7 What is (0 + -2)*(-18 - -19)? -2 Calculate 1/5*16 + (-6 - -3). 1/5 8 - 175/21 - 2/(-18) -2/9 12 - 10 - (-15)/(-6) -1/2 Evaluate (13 - 114/9)*(-1 - 1). -2/3 Calculate 13 + 3/4 + 2700/(-400). 7 What is 4/(-3)*15/520*-4? 2/13 Evaluate 14/6 - ((-16)/6 + 2). 3 What is -2*(-2 + (-20)/(-8))? -1 Calculate (-2 - (-76)/50)*(-170)/(-68). -6/5 What is (((-40)/28)/(-5))/(6/(-84))? -4 Calculate -5 + (0 - 5) - -7. -3 (-4)/(-14) + (-12)/21 -2/7 What is 2/4*(-52)/65? -2/5 What is the value of 4/(-7) - (-47790)/76405? 2/37 Calculate (1/(-3))/((-9)/135)*1. 5 What is (-6)/(-4)*((-70)/(-15) + -4)? 1 What is the value of (-4)/14 - (-252)/(-147) - 0? -2 Evaluate ((-3)/(-18))/(-8 - (-208)/24). 1/4 Calculate 3/21*(-2 + 0). -2/7 Calculate (-24)/(-80)*20/(-15). -2/5 2/(-24) - (-126)/216 1/2 Evaluate 17/4 - 3*7/84. 4 What is 1/(6/22) - 3? 2/3 What is (-3)/(-2)*75/(-225)*8? -4 (-434)/(-490) + (-4)/14 3/5 What is the value of 14/2 - 1020/150? 1/5 Evaluate -2 + 2 - (68 - 65). -3 What is 5/10*(-3 + 7/3)? -1/3 What is -9*((-455)/63 + 7)? 2 Calculate ((-368)/(-180) - 2)/(6/(-18)). -2/15 What is the value of 738/205 + 2/(-15)*-3? 4 What is 26/7 - (-6)/126*6? 4 Calculate (-3)/(-12)*-2*50/(-25). 1 (-208)/936 - (-1 + 110/126) -2/21 Calculate 3/(-9)*1 + (-210)/45. -5 Calculate (15/10)/(-3) - (-1 - 0). 1/2 Calculate (-11)/12 - (3 - 15/4). -1/6 Calculate ((-6)/20)/(3/(-8)*2). 2/5 Evaluate 5 + -11 + -10 + 18. 2 What is (6/11)/((-9)/(-3))? 2/11 Evaluate (2/4)/(10/60). 3 Evaluate (-184)/138*1/(-6). 2/9 Evaluate -3 + (1 - 3/4) + 3. 1/4 Evaluate -1 + -1 - (-26)/14. -1/7 (28/(-6))/7 + 40/42 2/7 What is (-6)/(-15)*(-10)/(-44)? 1/11 What is (-7)/(245/(-60)) - (4 - 2)? -2/7 (-65)/(-30) + -7 - 2/12 -5 What is 2*(455/(-14))/13 + -2? -7 Evaluate (142/51 - 2) + 4/(-34). 2/3 4/8*(-23)/(-46) 1/4 What is the value of 7*8/(-64)*2/7? -1/4 Evaluate (-68)/16 - (84/48 - 1). -5 Evaluate (-2)/(6 - 2 - -4). -1/4 40/105*(-15)/(-20) 2/7 Calculate 12/8 - (2 + -1 + 0). 1/2 What is (-1)/1 + 5 + -3? 1 What is 1*(-8)/10 - -1? 1/5 Calculate (-7)/(-9)*(-10)/35*-3. 2/3 15/(-25)*(-125)/(-15) -5 Calculate (-3 - 52/(-16))*1. 1/4 What is the value of (-10)/12 + 4/(-8)? -4/3 Calculate 2/3 - (-442)/(-51). -8 What is 2/(-23) - (-32)/(-7452)*-3? -2/27 (-2)/4*(6 - 4) -1 What is (2 - -158)/10 - 9? 7 Calculate ((-12)/(-27))/(56/(-12)). -2/21 Calculate (3 + 0 + (-24)/9)*3. 1 8/10*66/(-88) -3/5 What is the value of 4 - 12/(120/70)? -3 6/(-10)*6/(-18) + -1 -4/5 Calculate -1*(-3)/(-9) - 580/(-1479). 1/17 Calculate (-49)/441 - (-69)/378. 1/14 Evaluate ((-4)/(-5))/((-4)/20). -4 What is -3 + 2/(-4 + (-110)/(-25))? 2 What is ((-2)/(-7))/(30/70)? 2/3 What is 3 - -2 - 13 - -13? 5 Evaluate (-204)/(-32) + (-19 - -13). 3/8 What is ((1 - -2)/3)/((-1)/(-2))? 2 What is the value of (2/(-7))/((-4)/(-8))? -4/7 0/(-1) - (-8 - -7) 1 What is (12/(-315))/((-44)/(-110))? -2/21 84/378 - (-58)/(-18) -3 (-6 - -9 - 2) + 2 3 Calculate 2/4*60/6. 5 Calculate (-3198)/(-819) - (-4)/42. 4 What is the value of (-4)/(-18) + 448/(-720)? -2/5 0 + 6 - (9 - 4) 1 What is the value of (53/212)/((-2)/24)? -3 (-84)/(-315) - 4/30 2/15 What is the value of 2/(111/(-12) - -9)? -8 Evaluate ((-228)/304)/(18/(-16) + 1). 6 Evaluate 92/56 - 1 - 1/2. 1/7 What is the value of (-848)/(-3286)*2/8? 2/31 What is the value of (-700)/(-315) + (-4)/18? 2 Calculate -3 + 70/16 - (-3)/(-8). 1 What is the value of 6/(-4)*(-3)/(180/(-16))? -2/5 Calculate (-4)/(-6) + 2/(-6). 1/3 (-3)/18 + (-36)/(-54) 1/2 ((-10)/36)/((-60)/(-270)) -5/4 Evaluate 1 - ((-40)/70 - (-33)/21). 0 What is ((-2)/(-4))/((-4)/(-8))? 1 What is the value of 2 - 3*(-20)/(-48)? 3/4 (510/(-4675))/((-2)/10) 6/11 Evaluate 14/35 + (-72)/130. -2/13 Calculate ((-4)/(-36))/(-4 - (-36)/8). 2/9 33/(-126) + 0 + (-17)/102 -3/7 84/(-10) - (-1 + -7) -2/5 Calculate -6*4/3 + 2/2. -7 Evaluate 3 - 4/(480/348). 1/10 Evaluate (-8)/12 - 17/(-3). 5 What is -2*(-5 - (-102)/12)? -7 What is (-12)/42 + 0 + 37/7? 5 Evaluate (-147)/196*(-2)/(-3). -1/2 (-882)/84*(-4)/6 - 8 -1 What is the value of 4*-2*(-3)/8? 3 What is (-4)/(-30) - (-3484)/(-2730)? -8/7 What is the value of ((-15)/126)/(10/8)? -2/21 What is the value of 969/2052 - 2/8? 2/9 What is (-1)/(-3) - (-13 + 4335/315)? -3/7 What is the value of 5/((-70)/(-11)) + 2/(-7)? 1/2 What is ((-2)/(-8))/((-14)/168) - -4? 1 What is (-12)/(-30) + ((-512)/60)/16? -2/15 What is 0 + 0 - (-2)/(-6)? -1/3 Evaluate ((-3)/(-4))/(15 + 2610/(-160)). -4/7 What is the value of (-51)/21 + (-25)/(-5) + -3? -3/7 Calculate 6/((-24)/20)*1. -5 Calculate (-136)/34 - (-1)/2*0. -4 2/((-8)/6) + 1/(-2) -2 What is the value of (1 - 8) + (3 - 0)? -4 (-3 + 4)*0 + 8 8 Calculate 6/33 + -69*2/33. -4 Evaluate 1 + -5*(174/42 - 4). 2/7 Evaluate (-2 + -1 + 4)*-2 + 3. 1 Evaluate (-21)/(-14) + 3/(-2) + 1. 1 What is the value of (-20)/(-171) + -13 + (-690)/(-54)? -2/19 What is 2/66*(-4 - -10)? 2/11 (-116)/(-18) + (-212)/477 6 Calculate ((-4 - -3) + 4)/(-1). -3 1 + -1 + 5/(-35) -1/7 What is (-3 -
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of i? 3 Suppose -2*f + 2*m + 555 = 3*f, 0 = 4*m - 20. What are the prime factors of f? 113 Let q(p) = -5*p - 6 + 12*p - 12*p. List the prime factors of q(-7). 29 Let l = -7 + 17. What are the prime factors of l? 2, 5 Let x(r) = 3*r**2 - 2*r + 1. Let v be x(1). Suppose h - v*l = -3*l - 1, -11 = -5*h - l. What are the prime factors of h? 3 Let p(n) = -2*n**3 - 2*n**2 - n - 2. Let r be p(-2). Suppose -l - r = 3*l. List the prime factors of 3*2/(-6)*l. 2 Let t = -6 - -6. Suppose t = z - 2*z + 2. List the prime factors of z. 2 Let h(a) = a**2 - 4*a - 1. Let v be h(4). What are the prime factors of (v + (0 - 0))*-14? 2, 7 Let n(y) = -y**2 - 8*y - 1. Let f = -12 - -6. List the prime factors of n(f). 11 Suppose -5*l + 2*s - 40 = 0, 4*l - l = 3*s - 33. Let y(a) be the first derivative of a**3/3 + 5*a**2/2 + 2*a - 13. List the prime factors of y(l). 2 Let a = -4 + 44. List the prime factors of a. 2, 5 List the prime factors of (2/(-4)*2)/((-3)/342). 2, 3, 19 What are the prime factors of -4 + 0 - -2 - -41? 3, 13 List the prime factors of (690/8)/((-19)/(-76)). 3, 5, 23 Let l = 59 - 26. List the prime factors of l. 3, 11 Suppose 6*u - 3*u - 25 = -4*r, -3*u - 3*r = -24. What are the prime factors of (-172)/(-14) - 2/u? 2, 3 Let g be (3/4)/(1/4). Let y be 7/(g/(-3) + 2). Suppose y*m - 3*m = 36. List the prime factors of m. 3 Let w(d) = d - 9. Let b be w(8). Suppose 5*g - 5*i = 40, -3*g + i = -0*i - 32. Let a = g + b. List the prime factors of a. 11 Let q = -79 + 254. What are the prime factors of q? 5, 7 Let z(a) = a**3 - 2*a**2 - 5*a. Let g = -11 - -15. List the prime factors of z(g). 2, 3 Let h(f) be the third derivative of f**5/60 - f**4/12 + f**3/2 + f**2. List the prime factors of h(4). 11 Suppose -3 - 20 = 2*a - 5*o, -2*o = -a - 9. Let q = a - -2. What are the prime factors of q? 3 Let s be 4/2*(-2)/(-4). What are the prime factors of (s + -7)*(4 - 7)? 2, 3 Let d be 1*35 - (-10)/(-5). Suppose -p - 3 = -2*s, -2*s - 5*p + 0*p + d = 0. List the prime factors of s. 2 Suppose 2*x + 2*q + 2 = 0, 2*x - 4*q + 0*q = -2. Let u(s) = -48*s**3 - s**2 + 1. What are the prime factors of u(x)? 2, 3 Let n be 1/2*(8 - 16). List the prime factors of n/6 + 74/3. 2, 3 Let v = 39 + -19. List the prime factors of v. 2, 5 Suppose -o + 588 - 146 = 4*b, -5*b - 4*o = -547. What are the prime factors of b? 3, 37 Let n be 22/4 - 3/2. Let v = 9 - n. Suppose -2*w + h + 40 = -2*h, 0 = -v*w + 5*h + 95. What are the prime factors of w? 17 Let r = 33 - 24. What are the prime factors of r? 3 What are the prime factors of -3*(-1 - (-26)/(-3))? 29 Let x(d) = 7*d - 2*d + 2*d - 5. Let g(b) = -b. Let w(m) = -6*g(m) - x(m). List the prime factors of w(-6). 11 Let o be (12/6)/((-1)/(-2)). Suppose -g = -2*a + 35, 3*a - o*g - 35 = g. What are the prime factors of a? 2, 5 Let k(t) = -t**2 + 10*t - 4. Let x be k(8). Suppose x = i + 2*i. List the prime factors of i. 2 Let d(c) = -2*c**3 + 4*c**2 + 2*c - 2. List the prime factors of d(-2). 2, 13 Suppose -4*u - 9*q + 8*q + 987 = 0, -2*u + 5*q = -499. List the prime factors of u. 13, 19 Let k(u) = u + 6. Let p be k(12). What are the prime factors of (-2*13)/(p/(-27))? 3, 13 Suppose 0 = -p, -3*y + 5*p = -8*y + 35. Suppose -11*l + y*l + 120 = 0. What are the prime factors of l? 2, 3, 5 Suppose 3*o - 2*o = 0. What are the prime factors of -2 - o - -1 - -11? 2, 5 Suppose -5*m = 2*i + 1 + 5, -i - 3 = 0. Suppose -5*v + 47 + 113 = m. List the prime factors of v. 2 Let t = 14 - -8. Suppose -2*u + n - 2*n = -43, -n + t = u. What are the prime factors of u? 3, 7 Suppose 0 = 2*z + 34 - 116. What are the prime factors of z? 41 Suppose 5*y + 5*c - 30 = 0, 4*y + 0*c + c = 24. What are the prime factors of y + (-6)/(-9)*3? 2 Let q(x) = 3*x**3 - 3*x**2 + 3*x. Let d(g) = g**2 + 6*g + 2. Let z be d(-6). List the prime factors of q(z). 2, 3 Suppose 2*j - x - 35 = 0, -4*x - 15 + 40 = 3*j. Suppose -6 = 3*k - 2*k. Let y = k + j. What are the prime factors of y? 3 What are the prime factors of -16*-2*(-4)/(-16)? 2 Suppose -4*c = 10*u - 12*u - 1206, -5*c = 4*u - 1514. List the prime factors of c. 2, 151 Let i(g) be the second derivative of g**5/4 - g**4/6 + g**3/3 - g**2/2 - g. Let j be i(1). Suppose j*s = 7 + 5. List the prime factors of s. 3 Let j(m) = m + 1. Let r be j(-1). Suppose r = -0*t - 4*t + 36. What are the prime factors of t? 3 Suppose -2*d = 4*k + 2*d - 184, 5*d + 210 = 5*k. What are the prime factors of k? 2, 11 Suppose 0 = -4*o - 12 - 108. Let n = -12 - o. List the prime factors of n. 2, 3 Let z(s) = s**3 - 5*s**2 - 9*s + 5. Let l be z(6). Let b = l - -23. List the prime factors of b. 2, 5 Suppose 0 = 5*w - 4*y - 8 + 32, -4*w = -5*y + 21. Let s = w - -9. What are the prime factors of s? 5 Suppose -6*x = -x - 310. Let n = x + -38. List the prime factors of n. 2, 3 Let o = 352 + -239. What are the prime factors of o? 113 Let f = -8 + 4. Let j(k) = k**3 + 5 + 3*k**2 - 2*k**2 + 3*k**2. List the prime factors of j(f). 5 Let j(n) = 2*n**3 - 5*n**2 + 2*n - 4. List the prime factors of j(4). 2, 13 Let a(k) = 6*k. Suppose -20 = -5*b - 5*h, 0 = b + 3*h - 2 + 4. What are the prime factors of a(b)? 2, 3, 7 Let i = -7 - -74. What are the prime factors of i? 67 Let f = -27 + 63. Suppose 131 - f = 5*n. Suppose 4*q = -4*d + 28, 2*q = 3*d + 3 - n. What are the prime factors of d? 2, 3 Suppose -a + 7*p = 3*p - 5, 4 = 3*a - p. Let s be ((-4)/(-6))/(a/6). Suppose -s*y + 25 = -7. List the prime factors of y. 2 Suppose 5*i = x + 3, -4*i = -2*x + 3*x + 3. Suppose -n - n = i. Suppose -4*p - 4 = n, 4*p + 8 = -g + 2*g. List the prime factors of g. 2 Let n(s) = -s + 9. Let q be n(-9). Suppose y = 4*y - q. What are the prime factors of y? 2, 3 Let u = 2 - -20. List the prime factors of u. 2, 11 Let w(j) = -j**3 + 8*j**2 + j - 8. Let f be w(8). Suppose 3*z - 40 = -5*x, -3*z = -4*x - f*x + 5. Suppose -z*h = -71 + 16. What are the prime factors of h? 11 Let r = 106 - -178. Let t be (-2)/(-9) + r/18. Let z = -6 + t. What are the prime factors of z? 2, 5 Let m(k) be the third derivative of -k**4/12 - k**3/6 - 2*k**2. Let f be m(5). Let v = f + 15. What are the prime factors of v? 2 List the prime factors of ((-2)/(-3))/((-58)/(-14703)). 13 Suppose -t - 4*t = -10. Suppose y - 17 = -w - t*w, 32 = 5*w - 2*y. List the prime factors of w. 2, 3 Let l be 1/(1 + -2) + 1. Let x = 13 + l. Suppose 5*q = x + 12. What are the prime factors of q? 5 Let g(d) = 2*d**2 - 1. What are the prime factors of g(-2)? 7 Let k(h) = -h - 4. Let g be k(-10). Let m = -1 - -6. Suppose 0 = -3*q + m*n + 61, -4*q = -g*n + 2*n - 68. List the prime factors of q. 2, 3 What are the prime factors of (-20)/(-15) - 3020/(-12)? 11, 23 Let s(l) = -l**3 + 6*l**2 - 3*l - 6. Let p be s(5). Suppose h + p*h = 85. List the prime factors of h. 17 Let o = -36 + 50. Suppose 3*c - 4*c = 5*d - 8, 3*c + 14 = 4*d. Suppose 2*m + 4*r = -0*r + o, 2*m - d*r = 2. List the prime factors of m. 3 Let f be (-1 + 3)*(2 + -3). Let l = f + 6. List the prime factors of l. 2 Suppose 12*l + 1512 = 4*d + 13*l, -4*d = -2*l - 1524. What are the prime factors of d? 379 Suppose 0 = -2*x + 3 + 3. Suppose 3*d = -2*r + 11, -2*r = -3*r + x*d + 1. Let h(i) = -i**3 + 6*i**2 - 2*i - 5. What are the prime factors of h(r)? 19 Let a be (0 + 3 + -1)/1. Let v(t) = -t**3 + 5*t**2 - 5*t + 2. Let y be v(3). Suppose 2*c = -y*q + 55, -q - 4*c + 47 = a*q. What are the prime factors of q? 3 Suppose -2*j = -10, 5*j + 49 = 5*g + 14. What are the prime factors of g? 2, 3 Suppose -4*j - 32 = -4*w, w - 2*j - 1 = 3. Let l be -1*(1 + -1)/2. Suppose -w = -4*h + 8, k + h - 18 = l. What are the prime factors of k? 13 Let f(h) = -6*h - 1. Let c be f(-2). Let k = 5 + c. What are the prime factors of 0 + k + 12/4? 19 Let d = -35 - -17. Let i = -11 - d. List the prime factors of i. 7 Suppose 13*k = 8*k + 300. List the prime factors of k. 2, 3, 5 Suppose -w + 4*k + 33 = 0, 6*w - 57 = 2*w + k. Let h = w - -2. List the prime factors of h. 3, 5 Let z(l) = -13*l**3 - 2*l**2 + 1. Let a be (-3 - -5)/(0 + -2). List the prime factors of z(a). 2, 3 Suppose i = 2*m + 1, -3*m = -3*i - 2*m + 3. List the prime factors of -28*((-1)/2)/i. 2, 7 Let i(r) = -11*r. Let p be i(-2). What are the prime factors of 422/p - (-14)/(-77)? 19 Let p(c) = -c**2 + 6*c + 18. What are the prime fac
{ "pile_set_name": "DM Mathematics" }
0.3. Let y = v - 1. Let l(q) = q**2 - 4*q - 8. Let t be l(6). Which is the third biggest value? (a) y (b) 4/5 (c) t a Let m = 4.09 + -4. Let l = -0.11 - m. Let u = 151/286 - 9/26. Which is the second smallest value? (a) -4 (b) l (c) u b Let m = -2 - -1. Let i = -0.2 - 0.2. Let d = 0.04 - -0.26. What is the smallest value in m, i, d? m Let k(y) = y + 3. Let m be k(-3). Suppose -2*l + l - 5 = 0. Which is the second biggest value? (a) l (b) m (c) 0.4 b Let s = 0.37 + -8.87. Let u = -8 - s. What is the second smallest value in -5, -2, u? -2 Let b(y) = y**2 - y - 1. Let s be b(2). Suppose -4*j = -5*k - 16 - 24, 20 = 4*j. Let a = 1.6 - 2. What is the third smallest value in k, a, s? s Let g = -1.8 - -1.92. Let x = g + -2.12. Let m = 0.3 + 0.1. What is the third biggest value in x, m, -3? -3 Let a = 19 - 8. What is the second biggest value in 2/13, -4/7, a? 2/13 Let q(z) = z**3 - 26*z**2 - 4. Let x be q(26). Which is the smallest value? (a) x (b) 0.1 (c) -20/7 a Let i = -1.1 + 1.04. What is the smallest value in i, -1/4, -2/5? -2/5 Let d = -29.22 + 29. Let j = d - -0.02. Which is the smallest value? (a) 2 (b) 5 (c) j c Let o = 1 - 5. Let r = -1 + o. Which is the smallest value? (a) r (b) -3/4 (c) 1 a Let o be 4*(-1)/(-2) - 3. Which is the third biggest value? (a) o (b) -5 (c) -1/8 b Let o = -2 - 25. Let q = o - -25.7. What is the smallest value in -0.5, q, 0.5? q Let r = -5.19 + 0.19. Which is the biggest value? (a) r (b) -1/5 (c) -0.4 b Suppose -s = g + 1, 4*s - g + 4*g = 1. Which is the second smallest value? (a) s (b) 0.4 (c) 0.3 b Let d = 8 + -3. Suppose -k - 3 = -d. Suppose -k - 2 = 2*m. Which is the second smallest value? (a) 0 (b) m (c) 0.4 a Suppose 7*d = v + 3*d - 2, -5*v + 5*d + 10 = 0. Which is the biggest value? (a) 1/5 (b) 0 (c) v c Let a = -40 + 48. What is the fourth biggest value in 2, -2/7, -0.1, a? -2/7 Let g(c) = -2*c**2 + 1 + 3*c**2 + 1 - c. Let y be g(3). Suppose 5*b + y = -2. What is the third smallest value in b, -0.2, 1? 1 Let t = 0.318 - -0.082. What is the smallest value in t, 5, 1, -2? -2 Let y(m) = m - 8. Let w be y(11). Let h be (-5)/(-2 + w) + 3. Let i = -11 + 6. Which is the second smallest value? (a) i (b) -0.2 (c) h c Let w = -0.7 - -0.2. Let h = 1 - 0.93. Let t = -0.03 - h. What is the smallest value in -3, t, w? -3 Let z = -25/2 + 12. What is the smallest value in z, 0.1, -0.4? z Let g = 0.1 + -0.6. Let t = 265 - 264.5. Which is the biggest value? (a) t (b) g (c) 2 c Let n = 9 + -24. Let s = -13 - n. Which is the second smallest value? (a) s (b) 0.5 (c) 3/5 c Let f be 8/(-12)*-3*1. Let i be (8/10)/(0 + f). Suppose p + 5*t = 13, 2 = 4*p + 3*t + 1. Which is the third smallest value? (a) i (b) -2/5 (c) p a Let x(s) = s**2 + 6*s + 3. Let g be x(-6). Which is the third smallest value? (a) -4 (b) 0 (c) g c Let s = 15 - 15.5. What is the second smallest value in -6, s, 0.4? s Let o = -2 + 2.5. Let w = -0.8 + o. What is the third biggest value in -2, 1, w? -2 Suppose -6*g + 2 + 22 = 0. Which is the smallest value? (a) 5 (b) -0.03 (c) g b Suppose -2*v + 25 = 3*v. What is the second smallest value in -0.02, v, -2? -0.02 Let b = 0 + 0. Let x = -0.244 - 3.756. What is the third biggest value in x, 1/3, b? x Let j = -81 + 67. Which is the biggest value? (a) 1 (b) j (c) 0.2 a Let x = 245 - 3187/13. Which is the second biggest value? (a) x (b) -3/8 (c) 0.3 a Let o = 0.3 - 0.1. Let j = -3.83 + -1.17. Which is the biggest value? (a) j (b) o (c) -10 b Let z = 0.19 + 0.01. Let n = z - 0.3. Which is the second smallest value? (a) n (b) -4 (c) 1/7 a Let p = -3367417/4 - -836387. Let l = -5498 - p. Let c = l - -31. What is the second smallest value in 0.2, c, 0.5? c Let n = 1.5 + -1.5. What is the third biggest value in -0.3, n, -0.7? -0.7 Let l = -299/165 - -2/165. What is the biggest value in l, -1/7, 1? 1 Let p = 1.3 - 1.1. Which is the third smallest value? (a) p (b) -0.4 (c) 0.5 c Let j = 23/4 + -21/4. Which is the third biggest value? (a) 1 (b) -0.4 (c) j b Let g = 0.6 + 2.4. Let k = g + -8. Let x be 88/(-96) + 2/3. What is the second biggest value in k, x, -4? -4 Let q = 166 - 160. Which is the third smallest value? (a) 8 (b) q (c) 2/9 (d) -2 b Let k = -85 - -88. Which is the second smallest value? (a) 0.16 (b) 4 (c) -3 (d) k a Let g be (-156)/(-210) - 3/5. What is the third biggest value in g, -0.7, 3? -0.7 Let o = -0.6 - -0.6. Let j = -1/3 - -5/6. Which is the third smallest value? (a) j (b) o (c) -0.2 a Let u = -5.6 + 6. Let t = 1500/209 + -126/19. Let i = 4/33 + t. What is the second biggest value in u, i, 5? i Let y be 1/(3*-3)*-2. Suppose -v - 3*p + 0*p = -7, 4*v - 5*p = 11. Suppose v*h + 5 = -15. What is the second smallest value in y, h, -1? -1 Let v = 38.8 - 39. What is the smallest value in -5, v, 0.5, 0.2? -5 Let h = -18.5 - -19. Which is the third biggest value? (a) h (b) -2/3 (c) -1 c Let a be 0/(-3) + (-2)/(-7). Let z = -72/217 - 3/31. What is the smallest value in 0.4, z, a? z Let l = -6 + 11. Let m be (-82)/60 - (4 - 6). Let s = -2/15 + m. What is the smallest value in s, l, 1? s Let m be 25198/(-23544) - (-1)/4. Let k = m + 45/109. Let x = -2/27 - k. Which is the second smallest value? (a) x (b) 1/4 (c) 0.1 b Let l = -9 - -10. Let d = 5.4 - 5. What is the smallest value in d, 0, l? 0 Let r be (10/(-36))/(2/(-6)). Let v = 4 - 3.9. Let o = v - 0.6. What is the smallest value in o, r, 1? o Let k = 68 - 70. Let a = -0.36 + 0.06. What is the third smallest value in k, -3/8, a? a Let n = -0.9 + 1.9. Suppose -3*x = r + 11, 4*r + 4*x = -x - 30. What is the smallest value in 4, n, r? r Let d(c) = -c**3 + 7*c**2 + c + 5. Let x be d(7). Let s be -1*1 + 9/x. Let n be (-2)/((-2)/(2/3)). What is the biggest value in n, -0.1, s? n Let y = -864/5 - -172. Which is the second smallest value? (a) y (b) 0 (c) 0.4 b Let i = 17.4 + -17. Let l = i + 0.1. What is the second smallest value in l, 3, -2/11? l Let i(j) = -2*j**2 + 2*j - 2. Let q be i(-4). Let t be (8/q)/((-6)/(-9)). What is the biggest value in -4, 2/17, t? 2/17 Let k = -30 + 32. What is the third biggest value in k, 5, 0.4? 0.4 Let f = -45 - -30. Let u be (-28)/(-30) + (-6)/f. Which is the third biggest value? (a) u (b) -2/9 (c) 0.5 b Let x be 1/(-1*(1 - 0)). Let p be (-14)/4 - 2*x. Let f(z) = -z**3 - 18*z**2 + 21*z + 42. Let q be f(-19). Which is the smallest value? (a) 0 (b) p (c) q b Let z = -0.156 + -0.054. Let p = 0.01 + z. Let h = -1 - -0.5. What is the biggest value in p, h, 1/5? 1/5 Let f = 28.1 - 28. Which is the third biggest value? (a) -3 (b) -2/5 (c) f a Let q be 3/44 - (-2)/(-8). Let i = 1.94 - -0.06. Which is the second smallest value? (a) q (b) i (c) -0.1 c Let p = 59 + -60. Let u = 2.5 - 2. What is the second smallest value in u, p, -1/3? -1/3 Suppose -3*n + 30 = 3*s, 2*n - 2*s - 16 = -3*s. Suppose -2 = w - 5*t, 5*w - 4*t + n = -4. Let x = 0.1 - -0.4. What is the third biggest value in w, -0.1, x? w Let i = -2.9 + 1.9. What is the third biggest value in i, -7, 0.4? -7 Suppose -2*i - 1 = -5. Let c be (20/12)/5*i. What is the third biggest value in c, -4/5, -3? -3 Let q = -0.8 + 0.86. Let i = q - 0.1. Let z = i - 0.36. Which is the second smallest value? (a) z (b) -4 (c) 3/7 a Let h be 4 + 0/(-1 - 2). What is the second biggest value in -1/8, h, -2/5? -1/8 Let q = -5.8 + 9. Let g = -3 + q. Which is the third smallest value? (a) 5 (b) 0 (c) g a Let r = 1215/7 - 173. Let l = -4 + 8. Let j = l + -5. Which is the biggest value? (a) j (b) r (c) 1/7 b Let n = 5.03 + -0.03. Let w = -78 - -78.5. What is the third smallest value in n, w, 0.02? n Let o = 7.3 + -7. Let f = 0.21 + 17.79. Let z = 14 - f. Which is the second smallest value? (a) o (b) 0.5 (c) z a Let q = -1 + 3. Let v = 1.2 - q. Let z = v + 0.3. What is the second biggest value in z, -3, -1/7? z Let k = 0.1 - 0.3. Which is the fourth biggest value? (a) 0.1 (b) k (c) -0.5 (d) -4 d Let u = -160 - -155. Which is the biggest value? (a) u (b) -1/2 (c) -1 b Let x = -5.14 - -5. Let f = x + 0.04. What is the smallest value in -2/7, f, -0.2? -2/7 Let w be ((-4)/30)/(22/(-2)). Let y be 626*4/(-880) + 3. Let l = w + y. What is the smallest value in l, 3/5, -2? -2 Let p = -15 - -13. What is the se
{ "pile_set_name": "DM Mathematics" }
sqrt(88)/sqrt(2))/sqrt(4). -sqrt(11) + 3564 Simplify 5 + -1 + (3 + sqrt(13))**2. 6*sqrt(13) + 26 Simplify (2*-6*(sqrt(7) - -1*sqrt(7)) - -1*(sqrt(448) + -1))**2. 32*sqrt(7) + 1793 Simplify -6*(1*(sqrt(26)/sqrt(2) + sqrt(13) + -1))**2. -318 + 24*sqrt(13) Simplify (sqrt(48) - ((-3 + sqrt(1728) - sqrt(48)) + sqrt(48))**2) + -3*(sqrt(48)*3)**2. -3033 + 148*sqrt(3) Simplify -3*(sqrt(130)/(sqrt(10) + 1*sqrt(10)) - (sqrt(39)/sqrt(3) - sqrt(13))*-1). -3*sqrt(13)/2 Simplify (4*sqrt(78))/sqrt(6) + -3. -3 + 4*sqrt(13) Simplify 1 + (1*sqrt(275) + -2)**2. -20*sqrt(11) + 280 Simplify (sqrt(1782) + sqrt(1782) + (sqrt(1782) - 3*sqrt(1782)) + sqrt(1782) - sqrt(1782) - sqrt(1782) - sqrt(1782))/(sqrt(8)/sqrt(4)*-2). 9*sqrt(11) Simplify 2*((sqrt(175) - sqrt(175)*-2) + sqrt(175) + sqrt(175))**2*3. 26250 Simplify ((((sqrt(3) + 0)*1)**2 - sqrt(3)) + -1)*1. -sqrt(3) + 2 Simplify sqrt(15)/sqrt(48)*-2. -sqrt(5)/2 Simplify (4*sqrt(119)*3 - sqrt(119))/(sqrt(350)/sqrt(2)). 11*sqrt(17)/5 Simplify (sqrt(170) + sqrt(170)*-2 + sqrt(170))/sqrt(10) + sqrt(17) - -3*sqrt(153). 10*sqrt(17) Simplify -5 + sqrt(15)/(sqrt(30)/(sqrt(40)/sqrt(4)) + sqrt(3)). -5 + sqrt(5)/2 Simplify (-2 + sqrt(832) + sqrt(832) + sqrt(39)/sqrt(3) + 2)**2. 3757 Simplify (1*(sqrt(91) + (sqrt(91) - (5*sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91)))))/sqrt(7). -6*sqrt(13) Simplify (2*-3*sqrt(175) + -5)**2. 300*sqrt(7) + 6325 Simplify sqrt(7) + ((sqrt(28) + sqrt(168)/sqrt(6))/sqrt(4))**2 - (sqrt(63) + -2 - sqrt(63)). sqrt(7) + 30 Simplify -3*(0 + (sqrt(2) + (sqrt(20)*-3)/sqrt(10))**2). -24 Simplify 4*(-4*sqrt(36)/sqrt(2))**2. 1152 Simplify 2 + (((sqrt(165)/sqrt(3))/sqrt(5))**2 - (6*sqrt(275) + sqrt(11))). -31*sqrt(11) + 13 Simplify (2*sqrt(16))/(2*2*sqrt(2) + sqrt(2)). 4*sqrt(2)/5 Simplify sqrt(78)/sqrt(6) + 0 - ((sqrt(468) - sqrt(13)) + -4). -4*sqrt(13) + 4 Simplify (3*(sqrt(5) + sqrt(20)))**2 + -4. 401 Simplify (sqrt(171)/(-3*sqrt(36)))**2. 19/36 Simplify 3*(sqrt(252) + 0)**2. 756 Simplify (-1*(1*sqrt(11) + -2 - sqrt(297)/sqrt(3)))**2. 8*sqrt(11) + 48 Simplify ((sqrt(2500) + (1*sqrt(2500) - sqrt(2500)))/(-2*3*sqrt(5) + sqrt(5)))**2. 20 Simplify (-1*(sqrt(27) + 0 - ((sqrt(12)*2)/sqrt(4) + sqrt(3))))**2. 0 Simplify (-4 + sqrt(1331) + 1 + sqrt(1331) + 4)**2. 44*sqrt(11) + 5325 Simplify (sqrt(320) + -5*sqrt(320)*1)*1. -32*sqrt(5) Simplify sqrt(7) + 1*(sqrt(7) + 0 + sqrt(7)) - (sqrt(7) + -5 + sqrt(28)). 5 Simplify 3*sqrt(33)/(sqrt(96)/sqrt(2)). 3*sqrt(11)/4 Simplify (sqrt(21)/sqrt(3))**2 + 0 + (-3 + sqrt(63))**2. -18*sqrt(7) + 79 Simplify (sqrt(45) + (sqrt(2205) - sqrt(45)))/sqrt(9) - sqrt(5) - sqrt(80)*1. 2*sqrt(5) Simplify (sqrt(320)/(sqrt(16)/sqrt(2)))/(2*sqrt(512)). sqrt(5)/16 Simplify (sqrt(114)/(sqrt(30)/sqrt(5) + sqrt(6)) + 4)**2. 4*sqrt(19) + 83/4 Simplify sqrt(68)/((sqrt(324) + sqrt(324)*-2 + sqrt(324) - sqrt(324)) + sqrt(4)). -sqrt(17)/8 Simplify 4 + -5*(sqrt(56)/(sqrt(32)/sqrt(4)*-6))**2. 109/36 Simplify (5 + sqrt(3)*-2)**2 + sqrt(36)/sqrt(300). -99*sqrt(3)/5 + 37 Simplify (3*(sqrt(56) + sqrt(14)))/(sqrt(6)/(sqrt(3)*-1) + sqrt(2) + sqrt(2)). 9*sqrt(7) Simplify sqrt(77)/(-2*sqrt(63))*-6. sqrt(11) Simplify ((sqrt(1377) + 2 - sqrt(1377))*-2 - sqrt(1377))**2. 72*sqrt(17) + 1393 Simplify (-3*(sqrt(11) + 1) + sqrt(11) + 4 + (sqrt(44) - sqrt(11)))*4 + 3. -4*sqrt(11) + 7 Simplify -6*(sqrt(8)/sqrt(64) + -3). -3*sqrt(2)/2 + 18 Simplify sqrt(99)/(sqrt(90)/(sqrt(10) + 1*sqrt(10))). 2*sqrt(11) Simplify 0 + (sqrt(15)/(sqrt(20)/sqrt(4)) - sqrt(6)/(sqrt(6)/sqrt(3))). 0 Simplify sqrt(143)/(sqrt(176) - 2*sqrt(176)). -sqrt(13)/4 Simplify -1*(-1 + sqrt(17))**2 + -5. -23 + 2*sqrt(17) Simplify (-4*-4*(sqrt(19) + sqrt(19) + 0)*-4)**2. 311296 Simplify ((sqrt(3) - (sqrt(15) + sqrt(75)/sqrt(5))/sqrt(5)) + 2)**2. -4*sqrt(3) + 7 Simplify (5 + sqrt(162))*5. 25 + 45*sqrt(2) Simplify 1*sqrt(200) - sqrt(16)/(sqrt(40)/sqrt(5)). 9*sqrt(2) Simplify (sqrt(1584) - (1 + sqrt(1584) + 4))**2 + ((-1 + sqrt(11))*1 - sqrt(11))*-4. 29 Simplify (sqrt(1216)*2 - sqrt(2299)*-2 - (1*sqrt(2299) - (4 + sqrt(19) + 0)))**2. 224*sqrt(19) + 14912 Simplify sqrt(187)/(sqrt(33)/sqrt(3)) - (sqrt(612) - -1*sqrt(612)). -11*sqrt(17) Simplify sqrt(110)/(sqrt(10) + (sqrt(10)*-1 + sqrt(10))*5). sqrt(11) Simplify (-4 + sqrt(275)*4)*3. -12 + 60*sqrt(11) Simplify ((-5*-4*sqrt(13) - sqrt(13)) + sqrt(39)/sqrt(3)*-3 + sqrt(13))**2. 3757 Simplify (sqrt(2541) + 2*sqrt(2541))/(2*sqrt(108)). 11*sqrt(7)/4 Simplify sqrt(5) + 6*(sqrt(720))**2 - ((sqrt(5) + sqrt(20)/sqrt(4))*-4)**2. sqrt(5) + 4000 Simplify (sqrt(192) - (sqrt(192) - sqrt(192)*-1) - sqrt(192))**2 + 6*(sqrt(3) + (sqrt(9)/sqrt(3))**2). 6*sqrt(3) + 786 Simplify (-2*sqrt(2736) - 4*(sqrt(38)/sqrt(2))**2) + 0. -24*sqrt(19) - 76 Simplify 2*(((sqrt(3) - (-2 + sqrt(363))) + sqrt(3))**2 + sqrt(30)/(sqrt(10)*1)). -70*sqrt(3) + 494 Simplify (((-3*sqrt(8))/sqrt(4))**2 - sqrt(2)) + sqrt(2) + 1 + -3. 16 Simplify -1*(-1 + sqrt(343)). -7*sqrt(7) + 1 Simplify sqrt(18)/(1*sqrt(6)) + (3*(sqrt(3) + -1))**2. -17*sqrt(3) + 36 Simplify (-1*(sqrt(68) - (0 + sqrt(68))) + 4 + sqrt(68) + 0)**2. 16*sqrt(17) + 84 Simplify 1*(-6*-1*sqrt(119))/(sqrt(700) + sqrt(700)*1). 3*sqrt(17)/10 Simplify -4*((sqrt(16)/sqrt(2))/sqrt(4) + sqrt(2)). -8*sqrt(2) Simplify sqrt(1573) + (sqrt(1573) + sqrt(1573)*2*2 + sqrt(1573) + sqrt(1573))**2 - (sqrt(1573) + (sqrt(1573) - (0 + 1 + sqrt(1573) + sqrt(1573)))). 11*sqrt(13) + 77078 Simplify -4 + sqrt(39)/sqrt(3) + 5. 1 + sqrt(13) Simplify ((sqrt(68) + sqrt(68) + 0)*3)**2 - ((sqrt(68)*2 + sqrt(68) - sqrt(68))**2 + 4). 2172 Simplify -6*(0 + sqrt(832)*1)**2 + -4. -4996 Simplify (sqrt(35) + sqrt(3500)*1 + sqrt(35))/(sqrt(700)*-1). -6*sqrt(5)/5 Simplify 0 + sqrt(180) + -1. -1 + 6*sqrt(5) Simplify -2 + (-4*5*sqrt(5)*-2)**2. 7998 Simplify -2 + ((sqrt(56)/(sqrt(6)/sqrt(3)) + sqrt(28))/(sqrt(64) - 2*sqrt(64)))**2. -1/4 Simplify ((sqrt(19) - sqrt(133)/sqrt(7)) + -4 + sqrt(171)*2)**2. -48*sqrt(19) + 700 Simplify (sqrt(448) + (sqrt(448) + -5 + sqrt(448) - sqrt(448)) + (sqrt(7) - sqrt(84)/sqrt(12)) + 0)**2. -160*sqrt(7) + 1817 Simplify ((sqrt(84)/sqrt(3) + sqrt(28))*-6)/(sqrt(4) - ((sqrt(24)/sqrt(3))/sqrt(2) - sqrt(4))). -12*sqrt(7) Simplify (sqrt(1620) + -1 - (sqrt(45) + -1 + sqrt(3645)))**2. 720 Simplify (sqrt(304)*1 - sqrt(304))**2 + sqrt(19) - (2 + sqrt(1539))**2. -1543 - 35*sqrt(19) Simplify (1 + sqrt(500) + -1 + 1)**2. 20*sqrt(5) + 501 Simplify ((-1 + sqrt(2057))*1)**2. -22*sqrt(17) + 2058 Simplify 4 + (-3 + sqrt(1100) + -1 + sqrt(1100))**2*-6. -26492 + 960*sqrt(11) Simplify -6*(-4*(sqrt(28)/sqrt(4))**2 - (sqrt(252) + 1))*-1. -174 - 36*sqrt(7) Simplify (((sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252) + -1*sqrt(252)))/sqrt(12))/(sqrt(343)*2))**2. 3/196 Simplify (-5*sqrt(1584)*-1)**2. 39600 Simplify (sqrt(2432)*1)/sqrt(2). 8*sqrt(19) Simplify ((-1 + sqrt(7) + 1)**2 + sqrt(7))*5. 5*sqrt(7) + 35 Simplify (sqrt(114)*3)/sqrt(6)*2. 6*sqrt(19) Simplify (sqrt(2) - sqrt(32)*6) + (-1*sqrt(32))**2. -23*sqrt(2) + 32 Simplify (1*(4 + (sqrt(304) - -2*sqrt(304))))**2. 96*sqrt(19) + 2752 Simplify -5*sqrt(6)/(1*sqrt(2)). -5*sqrt(3) Simplify (-5 + 2 + sqrt(19) + sqrt(19) + sqrt(19) + 2 + 1)**2. 171 Simplify (sqrt(187) + sqrt(187) + sqrt(187)*2*-3 + sqrt(187))/(sqrt(11) + 1*sqrt(176)). -3*sqrt(17)/5 Simplify 4 + 3 + sqrt(13)*1. sqrt(13) + 7 Simplify 5 + (sqrt(17) + 0 + sqrt(85)/sqrt(5))**2 + 3*(sqrt(272) + sqrt(17))**2. 1348 Simplify sqrt(33)/(sqrt(352)/sqrt(2)). sqrt(3)/4 Simplify (-3*sqrt(60)/sqrt(4))/(sqrt(125) + sqrt(125)*2). -sqrt(3)/5 Simplify (sqrt(304) + 3)*6. 18 + 24*sqrt(19) Simplify sqrt(40)/(3*sqrt(8)) + 5. sqrt(5)/3 + 5 Simplify (sqrt(75) - -4*sqrt(75))*-4*-2. 200*sqrt(3) Simplify ((sqrt(500) + 1*sqrt(500))*-5)**2 + -1*sqrt(500) + -2. -10*sqrt(5) + 49998 Simplify sqrt(104)/(sqrt(8)*-3)*-1. sqrt(13)/3 Simplify ((sqrt(98)*-2 + sqrt(98) - (-3 + (sqrt(2) - sqrt(32)) + sqrt(2)))*1 + -2)**2. -10*sqrt(2) + 51 Simplify -4*sqrt(2)*3 - sqrt(12)/sqrt(384). -97*sqrt(2)/8 Simplify -4 + sqrt(1100)*-3. -30*sqrt(11) - 4 Simplify (3*(sqrt(11) + 0))**2*-6. -594 Simplify sqrt(2) + (sqrt(16)/sqrt(128) - sqrt(2)) - (sqrt(2) - sqrt(72)*-1). -27*sqrt(2)/4 Simplify (5*(sqrt(1377) + 2*sqrt(1377)*-1 - (sqrt(1377) + sqrt(1377) + 0 + sqrt(1377))*2))**2. 1686825 Simplify 5*(sqrt(637) + -2)*4. -40 + 140*sqrt(13) Simplify sqrt(20)/((sqrt(60) + (sqrt(60) - sqrt
{ "pile_set_name": "DM Mathematics" }
greatest common factor of o and 52? 26 Suppose 5*p + 20 = 9*p. Suppose -65 = 3*s - 8*s - 2*j, -2*s + 5*j = -55. Calculate the greatest common factor of s and p. 5 Let r be 1 + 0 + (4 - 3). Suppose r*n + 29 = -3*v + 6*v, -3*v + 5*n + 32 = 0. Calculate the greatest common factor of 1 and v. 1 Suppose 0 = 3*c + 224 + 364. Let y be c/3*12/(-8). Calculate the greatest common divisor of y and 14. 14 Suppose -5*a = -86 + 1. Suppose o - 271 = 2*o. Let j be o/(-4) - (-2)/8. What is the greatest common factor of j and a? 17 Let m = -53 - -61. What is the highest common divisor of m and 104? 8 Let k = 17 + 30. Let l = k - 19. Suppose 2*j - 57 = -4*g + 111, 3*g = -j + 126. Calculate the greatest common divisor of l and g. 14 Suppose 8*g - 7*g = 4. Suppose -g*i + 5*k + 80 = -2*i, 3*i - 3*k - 102 = 0. What is the greatest common factor of 10 and i? 10 Let h = 30 + -9. Let w = 30 - 45. Let k = -12 - w. Calculate the highest common factor of k and h. 3 Let l(g) = -g**3 - 4*g**2 + 2*g - 3. Let c be l(-5). Calculate the greatest common divisor of c and 60. 12 Let x(f) = f - 8. Let d be x(5). Let s = 11 + d. What is the greatest common factor of s and 4? 4 Suppose -2*b = -7*b. Suppose 2*d + 4*a - 2 = b, 2*a + 2*a + 25 = d. Suppose -3*u = -320 + 104. Calculate the highest common factor of u and d. 9 Let i = 44 - -7. Suppose -j + i + 4 = 0. Let d be ((-1)/1)/(-1) - -10. Calculate the greatest common divisor of d and j. 11 Let w(m) = 2*m**2 + m. Let x be w(-3). What is the highest common factor of 3 and x? 3 Let k be 2/7 - (-1410)/14. Suppose -5*o + 4*i + 97 = i, i = -5*o + k. Suppose 0*h + 120 = 4*h. Calculate the highest common factor of h and o. 10 Let b(o) = 14*o**2 + 5*o - 4. Let j be b(4). What is the highest common factor of j and 30? 30 Let h be (-1)/2*(-4 - -4). Suppose d + 4*d - 25 = h. What is the greatest common factor of 5 and d? 5 Suppose -4*i + i - 24 = 3*q, 3*i - 12 = 0. Let s = -8 - q. Calculate the greatest common divisor of s and 16. 4 Suppose -47 - 7 = -3*h. Suppose 2*q - h = -0*q. Let z(y) = -y. Let n be z(-3). What is the greatest common divisor of q and n? 3 Let k(g) = 26*g**2 - g. Let c be k(1). Suppose 5 = -m + c. Let w be 2 + 0 + (0 - -2). Calculate the greatest common divisor of w and m. 4 Suppose 0*b - 2*b = -16. Let o = b + 0. Let n = 16 - o. Calculate the highest common factor of 2 and n. 2 Let n = 52 - 35. Suppose -2*o + n + 3 = 0. Calculate the greatest common factor of o and 25. 5 Let b(h) = -23*h**3 + 2*h + 3. Let q be b(-1). What is the highest common divisor of 216 and q? 24 Suppose -3*i - 3*q = -39, -2*q - 79 = -7*i + 2*i. What is the highest common factor of 15 and i? 15 Let f be 3 + (-6)/(-3)*1. Suppose -d + 2*d - 4*i - 19 = 0, 0 = 3*d + f*i - 125. What is the greatest common factor of 7 and d? 7 Let u = -4 - -11. Let s be ((-24)/(-28))/(1/(-7)). Let j be (9/s)/(3/(-70)). Calculate the highest common divisor of u and j. 7 Let l be -4*(-9)/12 + 4. What is the greatest common factor of 56 and l? 7 Suppose 0*y - 2*g + 94 = -5*y, y - 5*g = -28. Let h = y + 3. Let r be (-220)/h + (-1)/(-3). What is the highest common divisor of r and 6? 3 Let d(v) = 5*v**3 + v**2. Let n be d(1). Let s(o) = 4*o**2 - 8*o - 6. Let r be s(n). What is the highest common factor of r and 10? 10 Suppose 4*r = -r + 15. Let h be 2/r - 4/6. Let x be 0 + 1 + 9 + h. Calculate the highest common divisor of x and 70. 10 Let d be (28/(-3))/(1/(-3)). Let z be (3 - (-122)/6)*3. What is the highest common factor of z and d? 14 Let d(s) = -9*s**2 + 2*s - 11. Let b(u) = 9*u**2 - u + 10. Let c(i) = 7*b(i) + 6*d(i). Let x be c(-3). Calculate the greatest common divisor of 28 and x. 14 Let r be 6/4*(-2)/(-3). Let u be (-6 - -1)/(r/(-11)). What is the greatest common divisor of u and 22? 11 Let r(u) = 17*u + 2. Let h be r(2). Calculate the greatest common divisor of 12 and h. 12 Suppose 0 = b - 5 - 1. Let c = b + 5. Let m = 39 + -28. What is the greatest common divisor of m and c? 11 Suppose 4*o = 29 + 7. Suppose 5 = 2*z - 1. Suppose -48 = -n - z. Calculate the highest common factor of n and o. 9 Suppose 3*k - 14 = -f, 2*f = -0*f + 4*k + 18. Calculate the greatest common factor of 22 and f. 11 Let y = 25 - 5. Let k = y + -14. Suppose -2*p + 100 = 4*h, -2*p + 2*h - 29 = -141. What is the greatest common divisor of p and k? 6 Let s = -8 + 19. Calculate the highest common divisor of s and 44. 11 Suppose o = w - 9, -3*o - o = w - 19. Let q(a) = a**2 - 4*a + 2. Let x be q(3). Let u be -3 - (-91)/(x - -2). What is the highest common factor of w and u? 11 Suppose -a - 4*h = 2485, 4*a = 4*h - 1683 - 8257. Let x be 2/(-5) + a/(-25). Calculate the greatest common factor of 11 and x. 11 Suppose 3*z + 15 = 8*z. Suppose z*d - 4*c - 90 = 0, 61 = 2*d - 3*c - 0*c. What is the highest common divisor of 39 and d? 13 Let c(n) = n**2 - 15*n - 18. Let i be c(17). Let r(w) = 24*w**2 - w - 1. Let p be r(-1). Calculate the highest common divisor of p and i. 8 Let k be ((1 + 1)*-1)/(-2). Let w be k/(-3 + (-111)/(-36)). What is the highest common factor of 60 and w? 12 Suppose -1 = w + 4*g, 2*w + 16 = 6*w - 4*g. Let a be (1 - (-24)/w)*18. Suppose -a = o - 3*o. Calculate the greatest common divisor of 9 and o. 9 Let z = 4 + -1. Suppose 132 = z*l + u, -5*l = -u + 69 - 297. Calculate the highest common factor of l and 5. 5 Suppose -l = 2*w, 2*l - l - 2*w = 20. What is the greatest common divisor of 110 and l? 10 Let j = 270 - 108. What is the greatest common divisor of j and 18? 18 Suppose 0 = -k + 2*k. Let q = 2 - k. Suppose -3*m = m - 2*j - 8, q*j = 2*m - 6. What is the highest common divisor of 11 and m? 1 Suppose 0*p - 5*p + 15 = 0. Calculate the greatest common factor of 24 and p. 3 Let l = 93 - 138. Let x = l + 69. What is the highest common factor of 264 and x? 24 Let f(i) = i**3 - 11*i**2 - 11*i - 11. Let x be f(12). Suppose t - 12 = -x. Calculate the greatest common divisor of t and 22. 11 Let p be ((-378)/45)/(2/(-20)). What is the greatest common factor of p and 21? 21 Let n(o) = o**2 + 9*o + 27. Let m be n(-10). What is the highest common factor of m and 296? 37 Let y be 0 + 12/(-8) + 59/2. Calculate the greatest common divisor of y and 4. 4 Suppose -2*r = z - 45, -2*z + 3*z = -4*r + 35. Suppose -5*p + 157 - 47 = 0. What is the greatest common divisor of p and z? 11 Let b = 3 + -1. Suppose -6*f + 3*s = -2*f - 19, 5*f = b*s + 15. What is the highest common factor of f and 1? 1 Let t be 13 + 7/(7/(-4)). What is the highest common factor of t and 45? 9 Suppose -4*m + 117 = 33. Calculate the greatest common divisor of m and 35. 7 Suppose -2*l - 14 = -40. Let q = 31 + 21. What is the greatest common divisor of l and q? 13 Let d = 3 - 1. Let c be d + -1 + (-28)/7. Let j = c - -13. What is the highest common factor of 110 and j? 10 Let j = 111 - 57. Suppose 2*u - u = -c + 1, -5*u = 20. Let x = 1 + c. What is the highest common divisor of x and j? 6 Suppose 4*d - 5*s - 1 = 0, d + 2*s = 2 + 8. Suppose -82 = -3*n - d. What is the highest common factor of n and 26? 26 Suppose 0 = -2*m + 3*m. Suppose m*g + 22 = 2*g. Let p be 1 + -1 + 2 + 20. Calculate the greatest common factor of g and p. 11 Suppose -2*g + 2*z + 754 = 2*g, -4*g + 761 = 5*z. Suppose 0 = -5*j + a + 101, 3*j - 83 = 3*a - 8*a. Calculate the highest common divisor of j and g. 21 Let j = -39 + 13. Let p = 38 + j. What is the highest common factor of p and 24? 12 Suppose 6*q - 11*q = 15. Let s = 2 - q. What is the highest common divisor of 40 and s? 5 Let h = 43 - 25. Let c(u) = 4*u**2 - 2 + u**3 + 5*u + 0*u**2 - 2. Let i be c(4). What is the greatest common factor of h and i? 18 Let w(q) = -q + 9. Let t be w(7). Let s be 3/(14/4 - t). Suppose 198 = 4*o - s*p, -61 + 15 = -o + 4*p. Calculate the highest common factor of o and 10. 10 Let p be 610/90 + 2/9. What is the greatest common factor of 1 and p? 1 Let t(k) = -k**3 + 4*k**2 + 14*k - 16. Let z be t(5). What is the greatest common factor of z and 261? 29 Let s(l) be the second derivative of 4*l**3/3 - 2*l**2 + l. Let d be s(-3). Let q be d/6*(-504)/16. What is the greatest common divisor of 21 and q? 21 Let l be 2/(-6) - 6/9. Let x be -1 + (l - -2) + 339. Let p = -186 + x. What is the highest common factor of 17 and p? 17 Let p = -37 - -71. What is the greatest common divisor of 34
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 8826770 is divided by 1705. 1690 Calculate the remainder when 125263 is divided by 717. 505 Calculate the remainder when 7276391 is divided by 7276388. 3 Calculate the remainder when 129758 is divided by 1019. 345 What is the remainder when 490677 is divided by 180? 177 What is the remainder when 76116100 is divided by 55? 5 What is the remainder when 342297 is divided by 864? 153 What is the remainder when 41615185 is divided by 46? 43 Calculate the remainder when 10792 is divided by 9960. 832 What is the remainder when 82400 is divided by 869? 714 What is the remainder when 1030161308 is divided by 15? 8 Calculate the remainder when 1726348 is divided by 863174. 0 Calculate the remainder when 6829048 is divided by 292. 44 Calculate the remainder when 56396 is divided by 167. 117 Calculate the remainder when 220451 is divided by 4121. 2038 Calculate the remainder when 222735 is divided by 577. 13 Calculate the remainder when 15744998 is divided by 1918. 136 What is the remainder when 81840 is divided by 6267? 369 What is the remainder when 35051829 is divided by 216? 213 Calculate the remainder when 504187 is divided by 348. 283 Calculate the remainder when 167220048 is divided by 48. 0 Calculate the remainder when 10105833 is divided by 521. 517 What is the remainder when 1043984 is divided by 795? 149 Calculate the remainder when 320139 is divided by 22867. 1 What is the remainder when 33713704 is divided by 14? 10 Calculate the remainder when 4427716 is divided by 88. 84 What is the remainder when 5583591 is divided by 20? 11 Calculate the remainder when 684492 is divided by 684486. 6 Calculate the remainder when 2500530 is divided by 1250263. 4 What is the remainder when 9794 is divided by 3155? 329 Calculate the remainder when 298938 is divided by 99636. 30 What is the remainder when 33906913 is divided by 62? 43 What is the remainder when 184313 is divided by 16745? 118 What is the remainder when 29485373 is divided by 37? 36 What is the remainder when 1439036 is divided by 155? 16 What is the remainder when 5641862 is divided by 11019? 134 Calculate the remainder when 225399 is divided by 56342. 31 What is the remainder when 280540276 is divided by 79926? 16 Calculate the remainder when 18406600 is divided by 357. 37 What is the remainder when 957848 is divided by 25206? 20 What is the remainder when 5655154 is divided by 3733? 3392 What is the remainder when 271329711 is divided by 41? 34 Calculate the remainder when 53774233 is divided by 51. 37 What is the remainder when 184616584 is divided by 4343? 4340 What is the remainder when 174218 is divided by 3063? 2690 Calculate the remainder when 87615 is divided by 12219. 2082 What is the remainder when 2980240 is divided by 90310? 10 What is the remainder when 76066057 is divided by 758? 757 Calculate the remainder when 38402 is divided by 1445. 832 Calculate the remainder when 25087354 is divided by 14. 12 Calculate the remainder when 6621707 is divided by 6621670. 37 Calculate the remainder when 963432 is divided by 1090. 962 Calculate the remainder when 37440979 is divided by 12480321. 16 Calculate the remainder when 1044654 is divided by 543. 465 Calculate the remainder when 25781442 is divided by 61. 36 Calculate the remainder when 1262698 is divided by 60119. 199 Calculate the remainder when 96375 is divided by 1325. 975 Calculate the remainder when 4025033 is divided by 18721. 18 Calculate the remainder when 8781 is divided by 1200. 381 What is the remainder when 111045 is divided by 457? 451 Calculate the remainder when 255941 is divided by 63978. 29 What is the remainder when 8441434 is divided by 133991? 1 What is the remainder when 8842145 is divided by 202? 201 What is the remainder when 18797 is divided by 1452? 1373 Calculate the remainder when 76643100 is divided by 145. 15 What is the remainder when 3859884 is divided by 1156? 0 What is the remainder when 481053 is divided by 40068? 237 Calculate the remainder when 2649866 is divided by 493. 484 Calculate the remainder when 12867722 is divided by 1628. 10 Calculate the remainder when 22954590 is divided by 16. 14 What is the remainder when 11726651 is divided by 37? 19 Calculate the remainder when 253093 is divided by 426. 49 Calculate the remainder when 3887850 is divided by 356. 330 What is the remainder when 113074 is divided by 4340? 234 What is the remainder when 5700281 is divided by 271? 67 What is the remainder when 54073832 is divided by 159? 158 Calculate the remainder when 1213349 is divided by 606006. 1337 Calculate the remainder when 42266181 is divided by 43. 19 What is the remainder when 3407314 is divided by 227154? 4 What is the remainder when 1718887 is divided by 703? 52 Calculate the remainder when 14823152 is divided by 157. 154 Calculate the remainder when 509134 is divided by 3034. 2456 What is the remainder when 2010425 is divided by 38662? 1 Calculate the remainder when 11600960 is divided by 325. 85 Calculate the remainder when 23647443 is divided by 213040. 3 What is the remainder when 5089158 is divided by 424096? 6 What is the remainder when 1145144558 is divided by 10? 8 What is the remainder when 2765310 is divided by 2142? 2130 Calculate the remainder when 37222080 is divided by 257. 256 What is the remainder when 120131 is divided by 2362? 2031 What is the remainder when 21409653 is divided by 916? 901 Calculate the remainder when 3328025 is divided by 19928. 49 Calculate the remainder when 837665 is divided by 11797. 78 Calculate the remainder when 256424 is divided by 402. 350 What is the remainder when 1759115 is divided by 251200? 715 What is the remainder when 51462286 is divided by 785? 41 Calculate the remainder when 1815266 is divided by 1405. 6 What is the remainder when 20281506 is divided by 387? 384 What is the remainder when 167897 is divided by 868? 373 Calculate the remainder when 9549934 is divided by 4509. 4381 What is the remainder when 10771874 is divided by 383? 382 Calculate the remainder when 10737 is divided by 2202. 1929 What is the remainder when 47919 is divided by 47894? 25 Calculate the remainder when 383029 is divided by 54656. 437 Calculate the remainder when 6017949 is divided by 54215. 84 What is the remainder when 12172 is divided by 392? 20 Calculate the remainder when 28327 is divided by 1172. 199 What is the remainder when 8179582 is divided by 254? 20 What is the remainder when 7979499 is divided by 161? 17 What is the remainder when 4093461 is divided by 4318? 4315 What is the remainder when 125443 is divided by 7269? 1870 Calculate the remainder when 9254866 is divided by 238. 236 What is the remainder when 2771288 is divided by 261? 251 What is the remainder when 558004 is divided by 557470? 534 Calculate the remainder when 2156050 is divided by 63413. 8 Calculate the remainder when 2797656 is divided by 699403. 44 What is the remainder when 18023404 is divided by 175? 154 What is the remainder when 2571675 is divided by 1145? 5 What is the remainder when 22126 is divided by 244? 166 What is the remainder when 208232 is divided by 3321? 2330 Calculate the remainder when 180736328 is divided by 102. 80 What is the remainder when 15231965 is divided by 11444? 1 What is the remainder when 1224075 is divided by 136006? 21 Calculate the remainder when 19999197 is divided by 40. 37 What is the remainder when 868628 is divided by 434177? 274 What is the remainder when 118061 is divided by 3058? 1857 What is the remainder when 59282 is divided by 146? 6 Calculate the remainder when 195657304 is divided by 14. 10 Calculate the remainder when 5893287 is divided by 168. 15 What is the remainder when 5907849 is divided by 3725? 3724 Calculate the remainder when 106058490 is divided by 11387. 11359 Calculate the remainder when 2967089 is divided by 213. 212 Calculate the remainder when 4312066 is divided by 753. 388 What is the remainder when 79395 is divided by 79370? 25 Calculate the remainder when 8212463 is divided by 137. 135 What is the remainder when 90277 is divided by 4520? 4397 Calculate the remainder when 223896170 is divided by 977. 11 Calculate the remainder when 175969 is divided by 853. 251 Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
vative of 14211213*k**4 - 2*k**3 + 34294640*k wrt k. 170534556*k**2 - 12*k What is the derivative of -5441*x**3 + 8*x**2 - 142*x - 269655246? -16323*x**2 + 16*x - 142 Find the third derivative of -37*q**4*s + q**3*s**3 + 594591*q**3*s + 877087*q**2*s**3 - 82*q**2*s**2 wrt q. -888*q*s + 6*s**3 + 3567546*s Find the third derivative of 138301748*z**3 + 52*z**2 - 4*z - 23684. 829810488 Find the second derivative of -2*r**5 - 40618862*r**2 - 39456*r - 1559 wrt r. -40*r**3 - 81237724 What is the third derivative of 31*m**5 + 708*m**4 + 29*m**3 - 30504435*m**2? 1860*m**2 + 16992*m + 174 What is the second derivative of 2*u**5 - 3574930*u**3 + 159926*u + 2? 40*u**3 - 21449580*u What is the derivative of -1031150440*b - 497916114? -1031150440 Find the second derivative of 19606811*w**5 + 2*w - 72652. 392136220*w**3 Differentiate 259*i**3*w + 37854*i*w + 364*w - 10533 with respect to i. 777*i**2*w + 37854*w Find the third derivative of 1895*l**5 + 28691*l**4*s - 13068446*l**2*s - 9*l*s wrt l. 113700*l**2 + 688584*l*s What is the first derivative of -1318805*y - 7964245 wrt y? -1318805 Find the third derivative of 186214854*h**3 + 63164764*h**2. 1117289124 What is the second derivative of -988598*h**2*l**2 - 3*h**2*l + 556*h**2 + 140*h*l + 78*h - 149*l**2 wrt l? -1977196*h**2 - 298 What is the first derivative of 198534810*i**2 - 69375132? 397069620*i Differentiate 154380597*j**2 + 483316289 wrt j. 308761194*j Find the second derivative of -31410330*s**2 + 12780305*s. -62820660 What is the second derivative of 6236*g**4*v - 82*g**3*v - g**2*v + 21*g*v + 10*g - 326 wrt g? 74832*g**2*v - 492*g*v - 2*v What is the second derivative of -24974712*a**2 + 33039336*a wrt a? -49949424 What is the derivative of 33927881*s**2*t**4 - 5652089*s**2 - 2*t**3 + 3 wrt t? 135711524*s**2*t**3 - 6*t**2 Find the second derivative of -73670629*k**2 - 35526*k + 614 wrt k. -147341258 What is the first derivative of 13*o*t**3 + o*t**2*u + 51255*o*u - 363*t**3*u + 7810621*t**3 wrt u? o*t**2 + 51255*o - 363*t**3 What is the third derivative of 670729*q**6 - 33*q**4 + 3*q**3 - 672*q**2 - 56671? 80487480*q**3 - 792*q + 18 Differentiate 517152*c**3 + 459*c + 941750306 with respect to c. 1551456*c**2 + 459 Find the second derivative of -2*q**4 + 15*q**3 + 34117*q**2 - 30349084*q. -24*q**2 + 90*q + 68234 Find the third derivative of 10257440*g**3 - 1504255*g**2 + 2*g. 61544640 What is the third derivative of 969*q**3*x**2 - 83963*q**3*x*y**2 + 8*q**2*x**2 - 15*q**2*x*y + 11*q**2*y**2 + 851*x**2*y**2 + x**2 wrt q? 5814*x**2 - 503778*x*y**2 Find the third derivative of 990021*i**4 - 6*i**3 - 682*i**2 + 3829*i - 2. 23760504*i - 36 Differentiate -6641*y**2 + 307*y - 74854791. -13282*y + 307 Differentiate -2015995*o + 55442269 wrt o. -2015995 Find the first derivative of -581615*g*h**3 + 5858*g*m**4 + 116996*h**3*m**2 - 75*h**3 wrt m. 23432*g*m**3 + 233992*h**3*m Find the third derivative of 49582912*i**3 - 697777*i**2 + 4*i. 297497472 Differentiate -2804200*c*g*n + 14*c + 2*g*n**3 - 331*n**3 - 159 wrt g. -2804200*c*n + 2*n**3 Find the third derivative of 8790917*g**3*v**3 + g**2*v**3 + 600*g**2*v**2 - 3702*g**2*v wrt g. 52745502*v**3 Find the third derivative of -12295969*g**5 + g**3 - 122997290*g**2 wrt g. -737758140*g**2 + 6 Find the second derivative of -23*o**5 + 718640*o**4 - 4*o - 1555109 wrt o. -460*o**3 + 8623680*o**2 What is the third derivative of 44444460*m**6 + 3*m**4 + 13*m**2 - 4457213*m wrt m? 5333335200*m**3 + 72*m What is the third derivative of -7*c*t**4 - 486908*c*t**3 - 6*c*t**2 - 5*c*t - 1842*t**2 + 27*t wrt t? -168*c*t - 2921448*c What is the third derivative of 2*v**5 - 9*v**4 + 46257*v**3 + 493024*v**2 - 5*v + 1? 120*v**2 - 216*v + 277542 Find the first derivative of 296*o*v**3*y + 314*o*v*y - 117*o*v + 41609*o*y - 489*o wrt v. 888*o*v**2*y + 314*o*y - 117*o What is the first derivative of -173529840*g + 57401815 wrt g? -173529840 Find the third derivative of 20*u**3*z**3 + 17*u**3*z**2 + 2*u**3 - 29953*u**2*z**6 - 15859*z**2 wrt z. 120*u**3 - 3594360*u**2*z**3 What is the third derivative of -12660462*n**3*v + 5698248*n**2*v wrt n? -75962772*v Find the second derivative of 6480569*m**3 + 17114565*m wrt m. 38883414*m What is the second derivative of -473691189*k**4 + 3*k - 174059086 wrt k? -5684294268*k**2 What is the third derivative of -4*r**6 - 1081313*r**5 + 82921156*r**2 wrt r? -480*r**3 - 64878780*r**2 Find the second derivative of 83418552*k**2 + 296979791*k. 166837104 What is the third derivative of -472150488*w**3 + 47476300*w**2? -2832902928 Find the second derivative of 681523*g*n**2 - 22*g*n*u**2 - 2*g*n - 3*g*u + 4*n**2*u**2 + 2*u**2 - 163*u wrt n. 1363046*g + 8*u**2 What is the second derivative of 255827*b**2*m**2 - 94*b**2 + 3*b*m - 2046367*m**2 wrt b? 511654*m**2 - 188 What is the second derivative of -3*h**2*m**2 + 218*h**2 + 8907*h*m + 2476890*m**2 wrt m? -6*h**2 + 4953780 Find the third derivative of 10816860*n**5 - 9521942*n**2 wrt n. 649011600*n**2 What is the second derivative of -30103*f*i**4 - 98*f*i**2 + 11*f*i + 2*f - 9*i - 22874 wrt i? -361236*f*i**2 - 196*f Differentiate -2*h*i**3 - 3150305*h + 4202849*i**2 wrt i. -6*h*i**2 + 8405698*i Find the second derivative of -8611965*g*p**2 - 25814*g*p - 8*g + p**2 + 2*p + 3 wrt p. -17223930*g + 2 Find the second derivative of -19061*a**2*r**2 + 350*a**2*r - 4012*a**2 + 1665*a*r**4 + 32*a*r wrt r. -38122*a**2 + 19980*a*r**2 Find the second derivative of a**2*j**3 - 8*a**2*j**2 - 7493*a**2 - a*j**3 + 46*a + 1278*j**3 + 4 wrt a. 2*j**3 - 16*j**2 - 14986 Differentiate 2*k**4*q**2 - 6751333*k*q**3 - 18*q**3 - q**2 - 66792*q + 9 wrt k. 8*k**3*q**2 - 6751333*q**3 Differentiate -20*o**3 - o**2 - 854744*o + 27433504 with respect to o. -60*o**2 - 2*o - 854744 Find the third derivative of 4351735*f**3 - 3499*f**2 + 652. 26110410 Differentiate 4337967*i*s + 29832925*i wrt s. 4337967*i Find the third derivative of 38723*v**5 + 136*v**4 - 11*v**3 + 19527*v**2 - 3402. 2323380*v**2 + 3264*v - 66 What is the third derivative of -126287*o**6 - 17*o**4 - o**3 - 12779443*o**2 - 5*o + 1? -15154440*o**3 - 408*o - 6 Find the first derivative of 29645038*d + 27522298. 29645038 What is the second derivative of 73949329*s**2 + 327189101*s wrt s? 147898658 Find the second derivative of 16219906*n*r**3 + n*r**2 + 10*n*r - 23*n - 2*r**2 + 348*r + 2 wrt r. 97319436*n*r + 2*n - 4 Find the second derivative of -46966315*m**2 - 7803745*m - 6 wrt m. -93932630 What is the second derivative of 535023433*j**3*m + 46227874*j*m - j + 2*m wrt j? 3210140598*j*m Find the first derivative of -c**3 - 172947230*c**2 + 36194050 wrt c. -3*c**2 - 345894460*c Find the third derivative of -936*h**5 + 520*h**3 - 6821016*h**2. -56160*h**2 + 3120 Find the second derivative of -2*c**2*g**2 + 9381671*c**2*g - 10*c**2 + c*g**2 + 8*c*g + 38*c - g**2 + 2321*g wrt c. -4*g**2 + 18763342*g - 20 Find the first derivative of 3901979*t**4*w - 41*t**4 - 3*w + 18034009 wrt t. 15607916*t**3*w - 164*t**3 Find the third derivative of -1640*f**4*q + 80125*f**4 - 605456*f**2*q - 2*f**2 wrt f. -39360*f*q + 1923000*f Find the third derivative of -72*b**4 + 7018*b**3 + 3*b**2 - 22*b - 67398. -1728*b + 42108 What is the third derivative of 6*j**4*z - 2*j**4 - j**3*z - 86629*j**3 + 1949*j**2*z + 158*j**2 wrt j? 144*j*z - 48*j - 6*z - 519774 Find the first derivative of 851*b**2 - 6558*b + 13022544. 1702*b - 6558 Find the third derivative of 13422284*z**3 + 2*z**2 - 4*z + 543624 wrt z. 80533704 What is the third derivative of -18450771*b**3 - 2485539*b**2 wrt b? -110704626 What is the second derivative of 29872*i**4 + i**3 + 138*i**2 + 466691736*i wrt i? 358464*i**2 + 6*i + 276 What is the third derivative of -3506636*d**3 + 29650*d**2 - 7? -21039816 What is the second derivative of 171*k**2*n**2 - 97*k**2*n + k**2 - 2*k*n**2 + 4*k*n + 3757*n**2 - 277*n + 1 wrt n? 342*k**2 - 4*k + 7514 Find the first derivative of -4268145*g**3 + 1060210. -12804435*g**2 Find the second derivative of 1743*o**3 - 12*o**2 - 2850410*o. 10458*o - 24 Differentiate -11*j**4 - 6682682*j**2 + 628302797. -44*j**3 - 13365364*j What is the third derivative of 409149*k**4 + 410*k**3 - 471192639*k**2? 9819576*k + 2460 Find the second derivative of -1240*f*t**2 + f - 104*t**2 - 1106777*t + 2 wrt t.
{ "pile_set_name": "DM Mathematics" }
se q = -4*s - 5*h + 136, -3*s + 38 = -2*h - 41. What is the remainder when s is divided by 10? 9 Let w = 4 + -4. Suppose w = -4*c + c + 27. Calculate the remainder when 33 is divided by c. 6 Let o(i) = 15*i**2. Let q = 10 - 9. Calculate the remainder when o(q) is divided by 6. 3 Calculate the remainder when 35 is divided by (34/4 - 2)*2. 9 Let s(g) = 11*g - 1. Let k(h) = 5*h**2 - 8*h - 10. Calculate the remainder when k(-2) is divided by s(1). 6 Suppose 0 = -y + 4 - 0. Let k = -5 - -1. Let a(r) = -r**2 - 6*r + 3. What is the remainder when a(k) is divided by y? 3 Suppose 5*w + 0*k - 425 = 3*k, -3*k = -w + 73. Calculate the remainder when w is divided by 30. 28 Let r(j) = 2*j**2 + 5*j. Let q be r(-6). Let i = -9 + q. Calculate the remainder when i is divided by 9. 6 Let q(x) = x**2 + x. Suppose -9*k + 172 = -5*k - 3*r, -8 = -2*r. Calculate the remainder when k is divided by q(-4). 10 Suppose 0 = -4*c + 3 + 5. Let y = 0 + c. Let g = -6 + 8. What is the remainder when y is divided by g? 0 Suppose -10*d = -6*d - 12. Suppose -d*k + 2*k = -20. Let t = -58 - -116. What is the remainder when t is divided by k? 18 Let g be ((-2)/(-3))/(4/162). Suppose 93 = 3*w - g. Let f(j) = j**2 - 3*j + 4. Calculate the remainder when w is divided by f(5). 12 Let v = -1 - 5. Let x = -4 - v. Suppose 0*g = 5*g - 20. Calculate the remainder when g is divided by x. 0 Let x = 1 - -3. Suppose -4*d + 72 = -r, 0 = 2*d + 4*r - 32 - x. Calculate the remainder when d is divided by -5*(-3 + -3 + 5). 3 Calculate the remainder when 4 is divided by (-2)/7 + 16/7. 0 Let s be 2/(-5) - 60/(-25). Let d be (2 - 1)*(-2)/s. Calculate the remainder when -70*d/((-10)/(-4)) is divided by 15. 13 Let a(z) = -z**2 + 18*z - 10. Calculate the remainder when 17 is divided by a(17). 3 Suppose 3*r + 11 = -7. Let y(h) = -h**2 - 9*h - 5. Calculate the remainder when y(r) is divided by 5. 3 Let l(c) = 18*c**2 - 2*c - 2. Let k be l(2). Suppose -19 = -5*r + k. Calculate the remainder when (-3 - -51)/((-6)/(-4)) is divided by r. 15 Let s(r) = 20*r. Let g be s(1). Let i = g + -13. Let j(m) = -m**3 - 5*m**2 + 7*m + 9. Calculate the remainder when i is divided by j(-6). 1 Let r be 7 + -8 + (-1 - -4). Suppose 156 = -0*w + r*w. Let o = -50 + w. Calculate the remainder when o is divided by 15. 13 Suppose -9*s - s + 170 = 0. What is the remainder when 33 is divided by s? 16 Let q be 1184/28 + 2/(-7). Suppose 2*a - 3*j + 7*j = q, -j = -5*a + 61. Suppose -s + 40 = 5*p, p - s = -2 + 4. What is the remainder when a is divided by p? 6 Let c = 1 - 5. Calculate the remainder when 25 is divided by (-82)/(-6) + c/6. 12 Let v(x) = x**2 + 4*x - 4. Let o be v(-6). Suppose -3*n - 243 = 45. What is the remainder when 46 is divided by ((-8)/6)/(o/n)? 14 Calculate the remainder when 8/(-52) - (-2140)/52 is divided by 21. 20 Suppose 41 = 2*l + l + 4*t, 0 = 5*l - 3*t - 78. What is the remainder when 29 is divided by l? 14 What is the remainder when 3 is divided by (-192)/(-84) + 2/(-7)? 1 Let x(f) = f**3 + 4*f**2 + 2*f + 4. Let u be (1 - 4)/(1 + 0). Calculate the remainder when ((-2)/(-4))/(1/26) is divided by x(u). 6 Let r(a) = 2 + 5*a - a - 3*a. Let y be r(-2). What is the remainder when 45 is divided by 1 + y - (-10 - 1)? 9 Let h(g) = -g**3 + 5*g**2 + 3*g - 4. Suppose 0 = -5*a + 2*t + 15, -3*a - 5*t = -13 - 27. What is the remainder when 2 + -2 - 42/(-2) is divided by h(a)? 10 Let r(n) = -n**2 - 7*n + 3. What is the remainder when r(-4) is divided by 6? 3 Let r = 8 - 3. Suppose 0 = r*j + u - 50, j = 4*j - 3*u - 12. Calculate the remainder when 7 is divided by (-4)/6 - (-33)/j. 1 Suppose 5*t + 25 = -0*t. Let f = t + -1. Calculate the remainder when 67 is divided by 4/f - 159/(-9). 16 Suppose 3*q - 52 = -q. Calculate the remainder when 62 is divided by q. 10 Let x = -156 - -186. What is the remainder when 118 is divided by x? 28 Suppose -22 = 5*l + 2*i, 0 = 2*l - 5*l + 3*i - 30. Let g(p) = p**2 + 3*p - 2. Calculate the remainder when 30 is divided by g(l). 14 Let j(p) = 11*p**3 - 2*p - 1 + 0*p + 4*p. Suppose u - 46 = -u. Calculate the remainder when u is divided by j(1). 11 Suppose -j = -3*x + 47, -5*x + 3*j + 77 = -0*j. Calculate the remainder when x is divided by (-1)/(-4) + (-35)/(-4). 7 What is the remainder when (2 - 21/15) + 1776/15 is divided by 31? 26 Let g = -4 + 14. What is the remainder when 25 is divided by (g/(-20))/((-1)/30)? 10 Let v(f) = 5*f - 2. Let u be v(1). Suppose -y + 2 + 84 = 5*d, u*d = 5*y - 290. Calculate the remainder when y is divided by 31. 30 Suppose 0 = 2*h + 13*h - 375. What is the remainder when 97 is divided by h? 22 Let u = 3 + -1. Suppose -3*m - u = -8. What is the remainder when 13 is divided by (21/6)/(1/m)? 6 Let f = -16 + 10. Let o(h) = h**2 + 3*h + 5. Calculate the remainder when 45 is divided by o(f). 22 Suppose -r = -1, -3*n + 3*r + 61 = -2*r. Calculate the remainder when 41 is divided by n. 19 Let m(x) be the second derivative of -x**3/6 + x**2 + x. Calculate the remainder when 35 is divided by m(-7). 8 Suppose l = -3*l - c + 4, 2*c = 4*l - 16. Let z(t) = t**3 + 13*t**2 + 13*t + 14. Calculate the remainder when z(-12) is divided by l. 0 Suppose 0*w - 2*w = -6. What is the remainder when 1/(w + 267/(-90)) is divided by 8? 6 Let v be (-3)/(-4)*(5 + -1). Suppose 2*m + 41 = v*m. What is the remainder when m is divided by 14? 13 Let p(z) = z + 0*z**2 - 5*z**3 + 7*z**2 - 6*z**2 - 7*z**3. What is the remainder when 47 is divided by p(-1)? 11 Let t be -1 - -1*2 - -3. Suppose 30 = t*u - 58. Calculate the remainder when u is divided by 12. 10 Let u(p) = -7*p**3 - 5*p**2 - 4*p + 8. Let n(w) = -11*w**3 - 7*w**2 - 6*w + 12. Let g(v) = 5*n(v) - 8*u(v). Calculate the remainder when 23 is divided by g(-3). 7 Let q = -2 - -14. Calculate the remainder when 46 is divided by q. 10 Let a(w) = -3*w**3 - w**2 + 2*w + 3. Suppose -3*b - 7 = -h, 4 - 13 = -3*h + 5*b. What is the remainder when 75 is divided by a(h)? 18 Let y = 3 - -23. Let o = 0 + 5. Suppose 4*z + 2*k - 52 = 0, 5*z + o*k - 12 = 48. Calculate the remainder when y is divided by z. 12 Let o(p) = p + 2. Let b be o(8). What is the remainder when 0 - (0/3 - b) is divided by 4? 2 Suppose -4*s + 4*r + 96 = 0, -5*r + 7 + 3 = 0. What is the remainder when 92 is divided by s? 14 Let c(o) = -24*o**3 - 2*o**2 - o + 1. Calculate the remainder when c(-1) is divided by 9. 6 Calculate the remainder when (328/(-6))/((-10)/15) is divided by 17. 14 What is the remainder when 4/(4/(-3)) - -21 is divided by 7? 4 Let q = 0 + -2. Let y = 5 + q. What is the remainder when 4*y/(-9)*-18 is divided by 13? 11 What is the remainder when 25 is divided by 3/(65/(-20) - -4)? 1 Suppose 0*t = 3*p - t - 55, 5*p - 2*t - 92 = 0. Calculate the remainder when 2*(-2)/((-8)/p) is divided by 5. 4 Let h(r) = -4*r + 1. Let o be h(-2). Let n(y) = y**3 - 9*y**2 + 4*y - 13. What is the remainder when 67 is divided by n(o)? 21 Suppose 171 = 14*u - 235. Calculate the remainder when 317 is divided by u. 27 Let n = -6 - -22. Calculate the remainder when 48 is divided by n. 0 Let a(p) = -2*p**2 - 11*p - 9. Let b be a(-9). Let r = -35 - b. Calculate the remainder when r is divided by 19. 18 Suppose -3*m = -5*s + 79, -s - 2*m = -0*m - 21. Let q be 23/(6/(-3) + 1). Let b = q - -29. What is the remainder when s is divided by b? 5 Let v(n) = -n**2 + 7*n. Suppose -2 = 2*x - 8. What is the remainder when v(x) is divided by 5? 2 Let m be 1 + 1 - (-2 + 4). Let a(b) = 2*b - 14. What is the remainder when 16/(1 - m) + 2 is divided by a(12)? 8 Suppose -426 = -12*b - 114. Calculate the remainder when 154 is divided by b. 24 Let n(o) = o**3 - o**2 + 58. Let p(c) = -c**3 - 6*c**2 + 6*c - 7. Let g be p(-7). Suppose 0 = 2*v - 32 - 8. What is the remainder when n(g) is divided by v? 18 Suppose t = 4*i + 28, -2*i - 3*i = 10. Suppose 11*z + 7 - 876 = 0. What is the remainder when z is divided by t? 19 Let o = 7 + -3. Calculate the remainder when 25 is divided by 21*(24/9)/o. 11 Let n = -7 - -11. Suppose -4*q = -4*p - n, 5*p - 1 = 4*q - 2. Suppose 0*g = 4*g - f - 68, -2*g + p*f + 34 = 0. What is the remainder when 33 is divided by g? 16 Suppose -61 = -2*b - 2*p + 7*p, 3*b - 120 = -2*p. What is the remainder when 151 is divided by b? 37 Let n = -26 - -30. Let g(q) = -q**3 - 6*q**2 - 5*q + 3. What is the remainder w
{ "pile_set_name": "DM Mathematics" }
is prob of picking 4 f? 1/323 Calculate prob of picking 2 v, 1 h, and 1 n when four letters picked without replacement from nnnnnvvhvvvvvnvnu. 7/85 Calculate prob of picking 2 p and 2 e when four letters picked without replacement from {e: 5, y: 1, p: 4}. 2/7 Three letters picked without replacement from {h: 1, k: 3, n: 2, w: 4, u: 2}. Give prob of picking 1 h and 2 n. 1/220 What is prob of picking 1 x and 2 c when three letters picked without replacement from {c: 6, i: 1, m: 2, q: 2, x: 4}? 12/91 Two letters picked without replacement from {d: 3, x: 1, p: 1, s: 7}. Give prob of picking 1 s and 1 d. 7/22 What is prob of picking 1 a and 1 w when two letters picked without replacement from {q: 5, m: 5, w: 2, j: 1, a: 5}? 10/153 Three letters picked without replacement from wwhwwffmee. Give prob of picking 2 w and 1 f. 1/10 Calculate prob of picking 1 d, 1 n, 1 i, and 1 s when four letters picked without replacement from ndbdnski. 2/35 What is prob of picking 1 x and 2 z when three letters picked without replacement from jxzxxxzzjxjz? 3/22 Two letters picked without replacement from {r: 18, u: 2}. What is prob of picking 2 u? 1/190 What is prob of picking 2 c, 1 z, and 1 r when four letters picked without replacement from {z: 1, r: 3, c: 2, x: 10, o: 1}? 3/2380 Two letters picked without replacement from gcrqruuc. Give prob of picking 1 r and 1 g. 1/14 Two letters picked without replacement from {g: 1, u: 1, q: 1, i: 1, d: 1, w: 2}. What is prob of picking 1 d and 1 i? 1/21 Two letters picked without replacement from wkpwggggpiwgwgwgwg. What is prob of picking 1 i and 1 k? 1/153 Three letters picked without replacement from {l: 5, y: 1, c: 1, v: 1, e: 3, n: 1}. Give prob of picking 1 c, 1 e, and 1 y. 3/220 Four letters picked without replacement from mbgbqgqbbnnmb. What is prob of picking 2 g, 1 b, and 1 q? 2/143 Two letters picked without replacement from qfcucbqbccbf. What is prob of picking 1 b and 1 f? 1/11 Three letters picked without replacement from nnhtkso. What is prob of picking 1 t and 2 h? 0 What is prob of picking 1 p and 1 a when two letters picked without replacement from {a: 1, v: 2, q: 3, p: 1}? 1/21 What is prob of picking 2 s and 2 n when four letters picked without replacement from {s: 6, n: 2}? 3/14 Four letters picked without replacement from kukkkufokffu. What is prob of picking 3 f and 1 u? 1/165 Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {l: 1, n: 2, i: 2, a: 2, c: 1}. 1/7 Calculate prob of picking 1 h, 1 l, 1 m, and 1 y when four letters picked without replacement from rmyyyylmmyvmmhmmyymm. 21/1615 Calculate prob of picking 1 k and 1 l when two letters picked without replacement from klflfllrfrlkfrl. 4/35 Two letters picked without replacement from jlr. Give prob of picking 1 j and 1 r. 1/3 Two letters picked without replacement from uuuhhuhuhhuhuuuuhuu. What is prob of picking 2 h? 7/57 Two letters picked without replacement from alaljlaajlj. Give prob of picking 1 a and 1 j. 12/55 Two letters picked without replacement from ddddddddddsdddddddd. Give prob of picking 2 d. 17/19 What is prob of picking 3 d when three letters picked without replacement from {d: 7, m: 1}? 5/8 What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 1, x: 4, d: 1, p: 6, k: 3}? 1/105 Three letters picked without replacement from kfdkmbf. Give prob of picking 1 m, 1 f, and 1 b. 2/35 Two letters picked without replacement from vvvwwvvwvvwbvb. What is prob of picking 2 v? 4/13 Three letters picked without replacement from {x: 4, z: 10}. What is prob of picking 2 z and 1 x? 45/91 Four letters picked without replacement from {z: 7, p: 12}. Give prob of picking 3 z and 1 p. 35/323 Two letters picked without replacement from {c: 1, s: 1, x: 5, f: 4, e: 5}. What is prob of picking 2 x? 1/12 Two letters picked without replacement from eepeezmpeeppe. What is prob of picking 1 e and 1 z? 7/78 What is prob of picking 1 u, 1 p, and 1 g when three letters picked without replacement from pmugrpq? 2/35 What is prob of picking 1 o, 1 l, and 1 u when three letters picked without replacement from lnutuoeet? 1/42 Two letters picked without replacement from fhnfnhnnfffnfffnf. What is prob of picking 1 h and 1 n? 3/34 What is prob of picking 4 t when four letters picked without replacement from {f: 4, t: 7}? 7/66 Three letters picked without replacement from xxdqqoqqdoqqqxxxxdq. Give prob of picking 1 x and 2 o. 2/323 Two letters picked without replacement from tbtttbbtbbbbbb. Give prob of picking 2 t. 10/91 Two letters picked without replacement from vxqxskj. What is prob of picking 1 v and 1 s? 1/21 Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {m: 1, u: 3, v: 3, k: 8, l: 1, q: 3}. 8/57 Calculate prob of picking 1 g and 2 k when three letters picked without replacement from kkkkggkggk. 1/2 Two letters picked without replacement from kkkkkpkkkkkkk. Give prob of picking 2 k. 11/13 Calculate prob of picking 2 p when two letters picked without replacement from {f: 3, p: 13}. 13/20 Four letters picked without replacement from {h: 4, f: 4, v: 1, b: 5, w: 6}. What is prob of picking 1 h, 1 f, and 2 w? 16/323 Calculate prob of picking 1 q, 1 a, and 2 h when four letters picked without replacement from {q: 2, k: 3, h: 4, t: 2, a: 1}. 4/165 Three letters picked without replacement from {h: 1, x: 12, a: 6}. Give prob of picking 2 a and 1 h. 5/323 What is prob of picking 2 m when two letters picked without replacement from mffwmmmmmwmmmmm? 11/21 Three letters picked without replacement from xyycoogogg. Give prob of picking 1 c and 2 y. 1/120 Calculate prob of picking 2 x when two letters picked without replacement from {x: 5}. 1 What is prob of picking 1 r and 3 u when four letters picked without replacement from uuruuuuuuuuuuuu? 4/15 What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 1, s: 1, l: 3, h: 10, o: 4}? 1/57 What is prob of picking 2 b when two letters picked without replacement from bbbb? 1 Two letters picked without replacement from {p: 5, o: 7}. Give prob of picking 1 o and 1 p. 35/66 Two letters picked without replacement from {l: 1, f: 8, i: 8}. Give prob of picking 2 f. 7/34 Two letters picked without replacement from {i: 7, k: 3}. Give prob of picking 1 k and 1 i. 7/15 Calculate prob of picking 2 v when two letters picked without replacement from {s: 1, p: 8, o: 6, v: 3}. 1/51 Four letters picked without replacement from {a: 3, d: 5, i: 1, h: 6, m: 2, t: 3}. Give prob of picking 1 h and 3 d. 4/323 Two letters picked without replacement from kbzkkkkbzbkbbkbbbbbb. Give prob of picking 1 z and 1 b. 11/95 What is prob of picking 1 m, 1 q, and 1 y when three letters picked without replacement from {q: 2, x: 1, y: 1, m: 1}? 1/5 Two letters picked without replacement from dttddggtgggdygdt. What is prob of picking 1 d and 1 y? 1/24 Two letters picked without replacement from {y: 1, u: 4, i: 1, f: 3, l: 2}. What is prob of picking 1 f and 1 i? 3/55 Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zzgzviuyyzzy. 5/22 What is prob of picking 1 p, 1 d, and 1 w when three letters picked without replacement from wwwwwwdpw? 1/12 Two letters picked without replacement from {o: 2, f: 5, g: 3}. Give prob of picking 1 f and 1 o. 2/9 Two letters picked without replacement from {q: 2, h: 2}. What is prob of picking 1 h and 1 q? 2/3 Two letters picked without replacement from {b: 4, c: 4, o: 8}. Give prob of picking 1 o and 1 c. 4/15 Calculate prob of picking 1 b, 1 h, and 1 g when three letters picked without replacement from ghhdphhdb. 1/21 Calculate prob of picking 2 n and 2 t when four letters picked without replacement from {t: 3, n: 13}. 9/70 What is prob of picking 3 q when three letters picked without replacement from qqjqdjqjjq? 1/12 Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {u: 5, s: 4, e: 1, t: 1}. 1/55 Four letters picked without replacement from {s: 2, x: 2, v: 5, q: 4}. What is prob of picking 1 s, 1 x, and 2 v? 8/143 Three letters picked without replacement from {z: 2, u: 5}. Give prob of picking 3 u. 2/7 Calculate prob of pic
{ "pile_set_name": "DM Mathematics" }
8*h**3/3 - 9*h**2/2 + 6*h - 14. Let m be b(9). Suppose v = -m + 5. Sort -5, 0, v in descending order. 0, v, -5 Let s(j) = j**2 - 5*j - 105. Let v be s(13). Let c be (4 - 16)/(-3) - -2. Let i = c - 1. Sort v, -4, i in increasing order. -4, v, i Suppose -3*a - 16*x = -19*x + 15, -4*x = -a + 4. Sort 3, -37, a. -37, a, 3 Let h(i) = -i**3 + 9*i**2 + 6*i - 10. Let k be h(9). Suppose 2*u = k - 26. Let g be 2/1 + (u - 14). Sort 5, 1, g, 6 in ascending order. g, 1, 5, 6 Suppose -5*q + 489 = -416. Let g = -1264/7 + q. Sort 26, g, -1. -1, g, 26 Let l = -0.0914 - 0.0886. Sort 2/3, l, 21. l, 2/3, 21 Let j = 6 + -8. Suppose -17*m + 11*m + 24 = 0. Suppose 0*r - 4 = -m*r. Put r, -5, 4, j in decreasing order. 4, r, j, -5 Let l = 94.76 + -98.76. Sort 4, -0.5, 62, -0.2, l in decreasing order. 62, 4, -0.2, -0.5, l Suppose 8 = t - 1. Let b be -3 + 3/1 + 27/(-27). Put -4, b, t in decreasing order. t, b, -4 Suppose -2*a + 4*a = -128. Suppose 10*t - 2928 = 34*t. Let j = 117 + t. Sort -3, j, a in ascending order. a, j, -3 Let q = 50494/7 - 7213. Put q, 34, -11, -5 in ascending order. -11, -5, q, 34 Let p = 5 + -6. Let i be -2 - 1/(9/(-30)). Let d be (0 - -2)*570/(-380). Sort d, i, p in descending order. i, p, d Let t = 445 - 437. Let y be (81 - t) + (1 - 2) + 3. Sort y, -1, 0 in ascending order. -1, 0, y Let h be (5/(-25))/(5/(-25)). Let s(o) = o - 16. Let l be s(15). Put -4, h, l, 5 in descending order. 5, h, l, -4 Let g = 1132 - 1128. Suppose -3*s = -s - 6. Sort 5, 7, s, g in ascending order. s, g, 5, 7 Suppose -93*f = -96*f. Suppose 4*o - 7*o - 6 = f. Put -1, -3, -8, o in increasing order. -8, -3, o, -1 Let w = -51 + 29. Let t be (w + 19)/(6/10). Suppose -4*n = -5*n. Put -10, 5, n, t in increasing order. -10, t, n, 5 Let f = 0.8 + 0.2. Let b be (-37)/((-2849)/(-22))*-1. Sort f, 2/11, 5/6, b in ascending order. 2/11, b, 5/6, f Suppose 2*j + 15 = 7*j. Suppose 0 = -10*v + 6*v. Let i(k) = 19*k**2 - 133*k + 1. Let p be i(7). Sort j, v, 2, p. v, p, 2, j Let m = -0.0128 - 0.8872. Sort m, -3, 1, 0.01, 0.2. -3, m, 0.01, 0.2, 1 Let z = 11768/11 + -1070. Put z, 5, 19, 20, 1 in increasing order. z, 1, 5, 19, 20 Let j be (0 - 27/(-52)) + 0. Let b = 14423/364 + j. Let p = 40 - b. Sort p, -5, -14 in decreasing order. p, -5, -14 Let d = -10064 - -10068. Put 5, d, 486, 1 in descending order. 486, 5, d, 1 Suppose s = 2*v - 2, 1 - 3 = 3*s - 2*v. Let k be (-22 - -30) + -28 - -23. Sort k, 1, 7, s. s, 1, k, 7 Let c = 12440 - 12436. Sort -3, 1, c, 1/88. -3, 1/88, 1, c Let r(k) = -34*k**2 - 6*k + 13. Let c be r(-2). Sort -2/11, -1/4, -1/6, c in descending order. -1/6, -2/11, -1/4, c Let o be 0*(-1 - 3/(-6)). Suppose -x + 2*i + 6 = 0, o*x + 2 = -2*x - 3*i. Let f be (-25)/(-20)*(2 + 0 + x). Put -4, 4, f in increasing order. -4, 4, f Let x = 38409 + -38408.1. Sort 6, x, 0.07, -0.3 in increasing order. -0.3, 0.07, x, 6 Let g be (2 + -1)*7/168*8. Let d be ((-1182)/9)/(4 - 6). Let t = d + -65. Sort g, -0.5, -2/21, t in descending order. t, g, -2/21, -0.5 Let g be (12/15)/((-2)/(-10)). Suppose -2*p = -j, 0*p - g*j - 3 = -5*p. Let n = -173695 + 173698. Sort n, p, -3, 1 in ascending order. -3, p, 1, n Suppose -5*t + 3*q = 8421, -4*t + q - 8427 = t. Sort 3, t, -4 in descending order. 3, -4, t Suppose 44*j - 1322 + 222 = 0. Let b(t) = t**2 - 8*t + 9. Let g be b(6). Put g, j, -2 in increasing order. g, -2, j Let m be ((-33)/(-44) + 114/(-24))/4. Put -308, m, 2 in ascending order. -308, m, 2 Let v(u) be the third derivative of u**6/120 - u**5/3 + 65*u**4/24 - 17*u**3/6 + 5*u**2 - 8. Let q be v(16). Sort -5, 21, q in descending order. 21, q, -5 Suppose -11*z - 5*r + 5 = -12*z, 4*r + 2 = 2*z. Put -4, 715, z in increasing order. -4, z, 715 Let w = -10736 + 10732. Sort 2, w, 73, 9 in ascending order. w, 2, 9, 73 Let o(z) = -z**2 - 13*z + 514. Let g be o(17). Sort -35, 6, g in increasing order. -35, g, 6 Let p(z) = -2*z**3 + 2*z**2 - 4*z + 1. Let c(j) = -j**3 - j**2 - 2*j. Let u(b) = c(b) - p(b). Let r be u(0). Sort 2, -3, r, -4 in descending order. 2, r, -3, -4 Let q = 19794 - 19794.7. Put -215, -3/4, q in increasing order. -215, -3/4, q Let i = -111/4 - -221/8. Let b be (3 + -2)*-1 - (-24 + 2). Suppose 11 = -2*j - l, 6*j - 2*j + b = -l. Sort 0.09, j, i in descending order. 0.09, i, j Let n(a) = a**3 - 6*a**2 + 2*a - 10. Let x be n(6). Let q be (-3)/x*40/15. Let i be (-18 + 4 + q)/(-2). Put i, 5, -5 in decreasing order. i, 5, -5 Let y(x) = 22 - 7*x - 3*x**2 + 6*x**2 - 9*x. Let p be y(3). Put p, -1, 38 in descending order. 38, p, -1 Let a = 5212503/100 + -52125. Let r be (-12)/45 - (-2)/(-5). Put r, a, -4 in increasing order. -4, r, a Let b = 19/3 - 7. Let u = 1.67905 - 0.67905. Sort b, u, 3/7 in decreasing order. u, 3/7, b Let x = 120 + -34. Let z = x + -82. Put -2, -1, z, 1/5 in descending order. z, 1/5, -1, -2 Let d be -2*3/(-72) + ((-1870)/(-120))/(-11). Let s = 48.2 + -48. Put 22, s, d in decreasing order. 22, s, d Let p = -208.33 + 210. Let l = p + -2.57. Let u be (-9)/6 + 1 + 1. Put l, -3, 0.3, u in decreasing order. u, 0.3, l, -3 Let f = 3371 + -3374. Sort f, 1, -1/2, 12/25 in descending order. 1, 12/25, -1/2, f Let a be ((-40)/(-50))/(27/5 + -4). Suppose 0*m = -4*m - 8. Sort a, m, -18 in decreasing order. a, m, -18 Let l be 19 + 666/(-45) + -4. Sort -2, -2/31, l, 3.7 in descending order. 3.7, l, -2/31, -2 Let t be 4/6 - (2 + 808/6). Let i be 10/(-8) + (-34)/t. Let z = -8 + 1. Put z, i, -2, 4 in increasing order. z, -2, i, 4 Let r = 103 - 96. Suppose 0 = -4*w + w + 4*j + 58, 74 = 4*w - 2*j. Let q be w/4*6/9. Sort r, 1, q in decreasing order. r, q, 1 Suppose -t + 13 = -2*t - 3*d, -t - 2*d = 8. Let w be (-5)/t*12/20*-2. Suppose w*k - 17*k = 126. Put k, -2, 4 in descending order. 4, -2, k Suppose 3*a + 140 = 2*v + 35, 0 = -v + 4*a + 65. Let s be 15*11*2/22. Suppose -v + s = 3*f. Sort 1, f, 0 in decreasing order. 1, 0, f Suppose -34984 - 10748 - 32913 = -107*a. Put -2, -3, a in ascending order. -3, -2, a Suppose 2680 = 32*p + 1144. Let o be 33/6 + 2/(-4). Sort o, -2, p in increasing order. -2, o, p Let t be 5/6 + 4/(-8). Let g be (50/6)/(18/189). Let r = -86 + g. Sort -3, -4, t, r in increasing order. -4, -3, t, r Let r(h) = 7*h + 37. Let m be 4 - 12/(-6) - 12. Let s be r(m). Sort 2, s, 1, 5 in descending order. 5, 2, 1, s Let n = -21925/4 + 5480. Let b = 3 + -3.2. Suppose h + 16 = 4*h + 2*r, -14 = -3*h - 4*r. Put n, b, h in ascending order. n, b, h Let j = -3539 - -28309/8. Sort -12, 1, j in decreasing order. 1, j, -12 Let s = 238 + -2144/9. Let m = 2067.3 + -2067. Sort -0.17, m, s in descending order. m, -0.17, s Let c = 6579 - 6581. Sort -3, 0.3, 0.5, c, -2/7 in descending order. 0.5, 0.3, -2/7, c, -3 Let o(c) = -7*c - 88. Let q be o(-3). Let y = -25 - q. Sort -4, -5, y. -5, -4, y Let c = 18257 - 18231. Put -102, c, 0 in ascending order. -102, 0, c Let p be ((-4)/(-6))/(-9*8/(-2916)). Suppose 28*w + 1 + p = 0. Sort 2, 26, w in descending order. 26, 2, w Suppose 4*f = 2*f + 14. Suppose -3*j - 4*j + f = 0. Let m = -209 + 205. Sort 4, j, m in ascending order. m, j, 4 Let u = 12.561 - 9.561. Sort -41/26, 1/3, u. -41/26, 1/3, u Let v be (-14)/2 + 52 + -1 + -44. Put 60, -33, v, 4 in decreasing order. 60, 4, v, -33 Let u = -568 - -562. Let n be -3 + 57/(-21) - u. Let f = 113/315 + 3/35. Sort 2, f, n. n, f, 2 Let s be -6 - -7 - (3 - 7) - (6 + 1). Sort 1, s, 18, 0, -3. -3, s, 0, 1, 18 Suppose -80 = 225*q + 145. Sort 3, -14, -10, q, 1 in increasing order. -14, -10, q, 1, 3 Let c = 18/19 + -128/95. Let q = -0.123 + 26.923. Let z = -26.5 + q. Sort z, c, -2/17, 5. c, -2/17, z, 5 Let h be (6/22)/((-42 - -29)/(-26)). Put h, 0.9, 3/10, 2/13, 0.4 in descending order. 0.9, h, 0.4, 3/10, 2/13 Let x = 824 + -816.62. Let v = x - 0.38. Let r = -221 - -226. Put -2/7, 3, r, v in descending order. v, r, 3, -2/7 Let l = 322 - 322. Let i = 1 - -13. Suppose i = 5*s - 6. Put s, 43, l in descending order. 43, s, l Let s(o) = -2*o**2 - 79*o + 44. Let f be s(-40). Let c = -8 + 6. Sort c, f, -4, -5 in descending order. f, c, -4, -5 Let a be (-6)/33 - ((-4872)/(-66) - (-5 - 5)). Sort 5, a, 0.06 in decreasing order. 5, 0.06, a Let s = -11.374 - -12.074. Sort -3, -1, s, 21/4. -3, -1, s, 21/4 Let s = -18857 + 18861.5. Put 0.3, s, 4 in increasing order. 0.3, 4, s Let p = 0.0337 + -0.8187. Let q = -2.215 + p. Sort 2, q, -3/7 in desc
{ "pile_set_name": "DM Mathematics" }
. Let x = 85 - c. Find the second derivative of 10*i**x + 2 - 31*i**2 + 19*i - 2 wrt i. -42 Let t be (-48 - -52) + 4/(-2)*1. Find the third derivative of -2539 + 2539 - 160*i**4 + 234*i**t wrt i. -3840*i Let n(v) be the first derivative of -145*v**3/6 + 56*v**2 - 74*v - 85. Let r(k) be the first derivative of n(k). Find the first derivative of r(q) wrt q. -145 Let c(m) = -80*m - 80. Let j = 39 + -36. Let u(f) = -3*f + j*f + 9 + 0*f + 9*f. Let o(b) = 4*c(b) + 35*u(b). What is the derivative of o(w) wrt w? -5 Find the third derivative of 5112 - 1098*x**2 - 5112 + 1770*x**3 wrt x. 10620 Let m be 345/(-230)*(5/(-3) - -1). Let a(h) = 46*h**2 - 4*h - 2. Let i(z) = -2*z + 1. Let u(d) = m*a(d) - 2*i(d). Differentiate u(t) with respect to t. 92*t Suppose 9*x - 10*x + 14 = 0. Suppose -2*r + 4 = -x. Find the third derivative of -5 + 2*j**4 + r - 4 - 33*j**2 wrt j. 48*j Let t(b) be the second derivative of 3*b**5/20 + 65*b**4/12 + b**3/3 - 10895*b**2/2 + 20*b - 54. Find the first derivative of t(s) wrt s. 9*s**2 + 130*s + 2 Let m(k) be the first derivative of 5394*k**5/5 + 13*k**3 - 43*k**2/2 + 889. Find the third derivative of m(u) wrt u. 129456*u Let u(c) be the second derivative of 13*c**6/30 - 11*c**4/3 - 73*c**3/6 - c**2/2 - 1687*c. What is the second derivative of u(d) wrt d? 156*d**2 - 88 Let v(h) be the third derivative of 142*h**5/3 + 2507*h**4/24 - 1663*h**2. What is the second derivative of v(r) wrt r? 5680 What is the second derivative of -90*d - 2 - 125*d + d**2 - 224*d - 319*d**3 - 593*d**3 - 196*d wrt d? -5472*d + 2 Let x = -130 + 194. Find the second derivative of 26*m + 6323*m**2 - x*m**3 - 6323*m**2 wrt m. -384*m Let y(u) = 2*u**2 + 70 - 22*u - 37 - 32. Let i be y(12). What is the second derivative of 2*l - 23 - 15 + 29*l**4 + 70 - i wrt l? 348*l**2 Let d(h) = -15857*h**3 + 120*h + 31. Let k(q) = -5285*q**3 + 40*q + 8. Let z(p) = -6*d(p) + 17*k(p). What is the second derivative of z(r) wrt r? 31782*r Let a(m) be the first derivative of 1940*m**3/3 - 18*m**2 - 7*m - 2087. Find the second derivative of a(f) wrt f. 3880 Let x(o) be the first derivative of 1/4*o**4 + 49/2*o**2 + 0*o - 126 - 4*o**3. What is the second derivative of x(q) wrt q? 6*q - 24 Let s(q) be the first derivative of 11*q**7/14 - 31*q**4/6 - 53*q - 29. Let i(z) be the first derivative of s(z). Find the third derivative of i(k) wrt k. 1980*k**2 Suppose o = -3*a + 20, 0 = 3*o - 8 + 2. What is the third derivative of 118*u**2 - a + 127*u**2 - 147*u**6 - 258*u**2 wrt u? -17640*u**3 Let h(s) = s**2 + 9*s - 20. Let c be h(-11). Find the first derivative of -14432*r**3 + 14432*r**3 + 2*r**4 + 6*r**c - 12 wrt r. 8*r**3 + 12*r What is the second derivative of 1036 + 2*s - 26*s**2 + 482 + 26*s**2 + 7943*s**5 - 7612*s**5 wrt s? 6620*s**3 Let h(q) = -10*q - 86. Let i be h(-9). What is the third derivative of 3*c**2 - 32*c + 13*c - c**2 + 213*c**i + 10*c wrt c? 5112*c Find the second derivative of -2342108*f + 21*f**3 + 2336159*f + 276*f**3 wrt f. 1782*f What is the first derivative of 10667*k**2 + 3059 - 35 - 10668*k**2 - 513*k**4 wrt k? -2052*k**3 - 2*k Suppose 0 = -4*i + 6*i - 8. Let p = -134 + 141. What is the first derivative of 5 - p + 7 + b**i + 13 wrt b? 4*b**3 Let j(k) = 3303*k**2 - 85*k + 35. Let q(l) = -827*l**2 + 22*l - 9. Let s(u) = -2*j(u) - 9*q(u). Find the second derivative of s(g) wrt g. 1674 Let h(y) = y**3 + 8*y**2 + 8*y + 9. Let o = -47 - -40. Let t be h(o). What is the third derivative of -2*f**3 - 15*f**3 + 2*f**t + f**2 wrt f? -102 Let y(f) be the second derivative of 11/6*f**3 + 85*f + 0*f**5 + 0 + 0*f**4 - 23/5*f**6 + 0*f**2. Find the second derivative of y(r) wrt r. -1656*r**2 Let c(j) be the first derivative of 2/3*j**6 + 0*j**4 + 0*j**5 + 0*j**2 + 0*j + 64/3*j**3 + 16. Find the third derivative of c(a) wrt a. 240*a**2 Suppose -4*y = 3*g + 3, 4*y - g = -6*g - 13. What is the third derivative of 233*a**2 - 6*a**3 - 180*a**2 + 2*a**3 - 8*a**y wrt a? -72 Let l(m) be the first derivative of 109*m**6/6 + m**4/4 - 5*m**2/2 + 52*m - 581. Find the second derivative of l(h) wrt h. 2180*h**3 + 6*h Let q(d) = 44*d**2 - 3*d - 42. Let z(c) = 132*c**2 - 8*c - 124. Let t = 169 + -177. Let s(a) = t*q(a) + 3*z(a). Find the first derivative of s(o) wrt o. 88*o Find the third derivative of -68*f + 138*f + 292*f**3 - 70*f + 2772*f**2 - 595*f**3 wrt f. -1818 Suppose -112 = -n + 3. Find the third derivative of u**2 + n*u**4 + 19*u - 4*u - 46*u wrt u. 2760*u What is the second derivative of 133*c**2 - 133*c**2 + 203*c + 811*c - 1157*c**3 wrt c? -6942*c Let d(q) be the third derivative of q**6/36 + q**5/40 - 19*q**4/4 - 23*q**3 - 65*q**2 + 2. Let i(y) be the first derivative of d(y). Differentiate i(u) wrt u. 20*u + 3 Suppose 0 = -5*s + 34 + 66. Let q be 0/(-1) - (1328/(-581) - 6/(-21)). Find the first derivative of -s*d**2 + 13*d**q - 5 + 16 + 4 wrt d. -14*d Find the second derivative of 218*b**3 - 315*b + 1169*b**3 - 99*b**3 - 1716*b wrt b. 7728*b Let a(c) = -4*c + 33. Let q be a(8). Let n(s) = 8*s**2 - s - 41. Let d(r) = -r**2 - 1. Let p(j) = q*n(j) - 6*d(j). What is the derivative of p(b) wrt b? 28*b - 1 Let n(f) = f**2 - 22*f + 10. Let m be n(0). Let w = -4854 - -7680. Find the second derivative of -w + 2826 - 14*p**2 + m*p wrt p. -28 Let r(a) = a**4 - 6*a**3 + 12*a**2 - 190*a + 4031. Let k(w) = w**4 - w**3 + 2*w**2 - w. Let v(i) = -6*k(i) + r(i). What is the first derivative of v(j) wrt j? -20*j**3 - 184 Let d(g) be the second derivative of -149*g**4/12 + 4*g**3/3 - 47*g**2/2 + 4*g - 98. Find the second derivative of d(p) wrt p. -298 Find the second derivative of 44*y**4 - 44*y**4 - 488*y + 182*y + 803*y**5 - 2649*y**5 wrt y. -36920*y**3 What is the second derivative of -506*n + 27*n**5 + 98*n**5 + 129*n**5 - 790*n - n**4 + 0*n**4 wrt n? 5080*n**3 - 12*n**2 Let q(m) = -m**2 - 7*m - 5. Let n be q(-3). Suppose 0 = -n*b - 38 + 115. Differentiate 9 - 10*o**4 - 8*o**4 + b + 16 with respect to o. -72*o**3 Let r(z) = 2*z - 17. Let b be r(11). Differentiate -84 + 30*s**4 + 16*s**4 + b - 20*s**4 with respect to s. 104*s**3 Suppose 229*h - 216*h - 845 = 0. Find the second derivative of -h*k - 111*k + 95*k**2 + 106*k**2 wrt k. 402 Let y(v) = -v**2 + 26*v - 1. Let b(t) = -t**3 + 1220*t**2 + 1729*t + 3. Let p(h) = -b(h) - 3*y(h). What is the second derivative of p(w) wrt w? 6*w - 2434 Let g(t) = -399*t**3 - 4*t**2 + 8*t + 8190. Let b(n) = -400*n**3 - 5*n**2 + 10*n + 8182. Let m(v) = 4*b(v) - 5*g(v). Differentiate m(c) with respect to c. 1185*c**2 Differentiate 1198*u + 1090*u - 403 - 2115*u + 2*u**3 with respect to u. 6*u**2 + 173 Let r(y) = -y**3 - 14*y**2 - 4*y - 28. Let t be r(-14). Let o(n) be the first derivative of -8*n**3 + 0*n**3 - 667*n + 678*n - t. Differentiate o(k) wrt k. -48*k Let l(n) be the third derivative of 0*n**3 + 17/60*n**6 + 9*n**2 - 2*n + 35/24*n**4 + 0 + 0*n**5. What is the second derivative of l(g) wrt g? 204*g Suppose 2*h + 2*p = 12 - 10, 9 = -3*p. Find the first derivative of 99*f**2 - 53*f**2 + 3*f**3 + 290 - h*f**3 - 54*f**2 wrt f. -3*f**2 - 16*f Let f(p) = 30*p**2 - 143*p**4 - 2*p**3 + 14*p - 19*p + 3*p. Let a(n) = -n**4 + n**3 + n. Let x(c) = -2*a(c) - f(c). Find the third derivative of x(g) wrt g. 3480*g Let d(l) = l**2 - 8*l - 16. Let a be d(11). Let p = -6 + a. What is the derivative of -17 + 8 - p - 21*b wrt b? -21 Differentiate 219*v + 136*v - 22*v - 24*v - 407 + 85*v with respect to v. 394 Suppose 5*v = 4*o + 9, -3*o - 37*v = -34*v - 27. Find the third derivative of 6*s**5 + 8*s**5 + 3*s**4 + 42*s**2 - 164*s**2 - 5*s**o - 107*s**2 wrt s. 840*s**2 - 48*s Let m = 19 - 1. Let g(v) = -8*v + 27. Let r be g(3). Find the second derivative of -w - m*w - 14*w**r + 2*w**3 wrt w. -72*w Suppose -j - 7 + 14 = 0. Find the second derivative of 21*l**2 + 17*l + 9*l**2 - 5*l - j*l**2 wrt l. 46 What is the third derivative of 30825*v**2 - 31172*v**2 + 162*v**5 - 572*v**5 wrt v? -24600*v**2 What is the second derivative of -6859*h**2 + 15591*h**2 - 435*h**2 + 2752 + 2*h wrt h? 16594 What is the third derivative of 41*h**6 - 10*h**6 - 19*h**6 + 2*h**5 + 1039*h**2 - 28*h**6 + 2*h**5 wrt h? -1920*h**3 + 240*h**2 Let s(l) be the first derivative of -480*l**2 + 1083*l - 216. Differentiate s(y) wrt y. -960 Let n(s) be the second derivative of 467*s**6/30 + 3*s**5/20 + 168
{ "pile_set_name": "DM Mathematics" }
. Let h be z(22). Let u = h + 300. Which is the smallest value? (a) 4 (b) 0.4 (c) 0.1 (d) u d Let o = -5622 + 5621. Which is the biggest value? (a) o (b) 0.74 (c) -5 b Let x = -3 + 2.8. Suppose 278*j = 277*j + 5*p + 70, -4*j - 4*p = -16. Which is the third smallest value? (a) 0 (b) j (c) x b Let s be (-9)/(-21)*(0 + -1). Let h = -373.9 + 374. Which is the biggest value? (a) h (b) -1/6 (c) s a Let d = -0.09 - 4.91. Let g = 3 - 3.5. Let h = -3.33 - -6.33. Which is the third biggest value? (a) d (b) h (c) g a Suppose 4*l - 3*g = -17, -3*l + g - 10 = 9. Let f be (13/(-6) - -2)*-1*2. Which is the second biggest value? (a) 5 (b) l (c) f c Let g be (-872)/72 - (-40 - -28). Which is the fourth biggest value? (a) -1/3 (b) -4 (c) g (d) -2 (e) -2/37 d Let h be (-8)/2 - (3 + -2). Let f be 175 + -180 - (-46)/10. Which is the second biggest value? (a) -2/7 (b) h (c) f c Let d be 858/(-935) - (36/102)/(-3). Which is the third smallest value? (a) d (b) 9/10 (c) 4 c Let r = 0.01 - -0.29. Suppose 0 = 8*q - 11*q + 18. Let g = 1.23 - 4.23. What is the third smallest value in q, g, r, 4? 4 Let p = 361.9 - 362.3. Which is the third smallest value? (a) 2 (b) 14 (c) 12 (d) p c Let i = -5084.5 + 5084. Let q = 1 + 3. What is the third biggest value in q, i, -0.3? i Let c = -0.122 - -0.932. Let h = 1.11 - c. What is the smallest value in -2/63, -5, 5, h? -5 Let k = -412.3 - -413. Let o = 0.0525 + -0.0525. Which is the third biggest value? (a) 0.1 (b) k (c) o (d) -2/3 c Let f(x) = -x**3 + 22*x**2 + 29*x - 1. Let n be f(24). Let v = n - -1815/4. Let w = 35/12 + v. What is the smallest value in -5, w, 0.9? -5 Let j = 2.4 - -1.6. Suppose -2 = 2*n - 12. Let o be 10/((-130)/63) + n. Which is the fourth biggest value? (a) 0.8 (b) j (c) o (d) -4 d Let y = 4704.723 + -4706. Which is the third smallest value? (a) -1/4 (b) 0.3 (c) -1/2 (d) y a Let y = -5 - -8. Let t = 3.3 - y. Let f = 5313/21220 - 2/5305. What is the smallest value in t, f, -5, -3? -5 Let v be (135/(-10))/(-9)*-34. Let l be 0/v - (-2 - 0/(-1)). Which is the fourth biggest value? (a) -0.2 (b) l (c) -0.1 (d) -1.4 d Suppose -z = 4*m - 5*z + 280, 0 = 3*z + 9. Suppose -24 = -r - 20. Which is the biggest value? (a) m (b) r (c) 3 b Let u be 4*(-12)/144*(-6)/2. What is the fourth smallest value in u, -2, -1/2, -31? u Let q = 0.4 + -0.1. Let l = -25679 - -25679. Let r = -0.07 - -4.07. What is the fourth smallest value in r, q, l, -0.3? r Let y(d) = -d**3 + 4*d**2 - 2*d - 2. Let i be y(3). Let u = -9339.97 - -9340. Which is the third smallest value? (a) u (b) i (c) 2 c Let q = -13.99546 - 0.00454. Let t = 4.006 - 0.006. What is the third smallest value in 0.5, t, q? t Let k = 0.309 + -0.309. Suppose 16 = -3*d + 31. Let s be (-4)/d*(-1 + 6). What is the biggest value in k, -0.3, s? k Suppose 2*k - 13 = -d, 0 = d - 5*k + 3*k + 7. Suppose -10*q = -6*q + d*o + 12, 5*q = 2*o - 15. Which is the smallest value? (a) -5 (b) q (c) 3 a Let y be ((-33)/44)/(1155/56). Which is the third biggest value? (a) y (b) -4/9 (c) 0.3 (d) 0.1 a Suppose 35*k - 15*k = -3900. Let f = -193 - k. Which is the biggest value? (a) f (b) -0.06 (c) -7/3 a Let f = 0 + -2. Let q = -103 - -49. Let u = q + 49. Which is the biggest value? (a) f (b) -1 (c) u b Let u = -1/3 + 2/3. Let q = -11.7 + 9.7. Which is the biggest value? (a) u (b) 0.5 (c) q b Let m = 9.338 - 9.638. Which is the fourth biggest value? (a) -1 (b) -6 (c) m (d) -3 b Let i = -159 + 241. Let j = i - 85. What is the second smallest value in j, 4, 3/19? 3/19 Suppose 0 = -4*j - 3*v + 9, -12 = -3*j - 0*v - 4*v. Let y = 0.963 - -436.037. Let k = y - 437.1. What is the second smallest value in k, j, 2/45? j Let d(y) = 23*y**2 + 8*y + 6. Let a be d(-5). Suppose 4*w + a = -35. Let b be (-2)/(-8) + 68/w. What is the second biggest value in b, 6, 2/21? 2/21 Suppose y - 2*y = -3*m + 42, m = -3*y + 14. Let u be 4/m - (4/7)/(-2). Which is the smallest value? (a) -0.1 (b) 2 (c) u a Let o be 1 + 37/(-9) - 702/1053. What is the fourth smallest value in o, 3/13, 2, 3? 3 Let i be (2/4)/(21/(-6)). Let l = -217 - -221. Let h be (2/(-24))/(2/(-6)). Which is the third biggest value? (a) h (b) i (c) l (d) -0.1 d Let n = -33725 + 136133/4. Let z = -309 + n. Which is the second smallest value? (a) 24 (b) 3/7 (c) z b Let r = 29.87 - 30.37. What is the third smallest value in -5.29, 0.2, r? 0.2 Suppose -1398 = -12*u - 1638. What is the third smallest value in 29, -1, u? 29 Let t = -1.4106 + 3.4106. Let b = 32 - 31.83. Let q = -8.83 - b. What is the fourth biggest value in t, -4, q, 1/7? q Let p = -53.88 - -0.88. Let o = 214 + -161.1. Let r = o + p. Which is the biggest value? (a) r (b) 1 (c) -0.5 b Suppose 0 = 4*s - 0*s - 28. Suppose -s*h - 3 = -8*h. Let t be 32/(-24)*h/14. What is the third biggest value in t, -5, 1.4? -5 Let q be 11723/(-38) + (-21)/3. Let p = 317 + q. What is the smallest value in 0.5, p, 2/9? 2/9 Let h = 7.27 + -7.07. What is the second biggest value in h, -2/3, -0.01, 4/7, -0.04? h Let g = -0.084 - 0.216. What is the third smallest value in g, -363, -1/6? -1/6 Let n = -0.49 + -42.51. Let u = n + -19. Let z = 56 + u. What is the smallest value in z, -0.5, 5? z Let z = 0.39 + -6.79. Let w = -5.4 - z. Which is the second biggest value? (a) w (b) 2/13 (c) 22 a Let x = -276.1 + 270.1. Which is the second biggest value? (a) 12 (b) -2 (c) x (d) -2/3 d Let h be ((-9522)/(-14812))/(0 + 3/(-7)). Suppose 0 = -0*m - 4*m + 8. Let q be (-5 - 0) + 2/1. Which is the second smallest value? (a) h (b) q (c) m a Let y be (-2)/(-8) + (-14310)/9720. What is the fourth smallest value in -1/2, -2/7, 0, y? 0 Let f = 2876 - 2875.9. Let m = 52.13 - 52. Which is the second biggest value? (a) -0.1 (b) f (c) m b Let n be 5/(-9) - 2/(-6). Let i = -9.8169 - -0.8169. Which is the second smallest value? (a) n (b) i (c) 0.5 a Let x = 0.0687 + -0.1787. What is the third biggest value in x, 3, 3/7, 0.5? 3/7 Let j(x) = x**3 - 9*x**2 + x + 53. Let l be j(8). Which is the fifth smallest value? (a) l (b) -2.9 (c) -5 (d) -1/3 (e) 3/8 e Let b = 9351 + -9348. What is the biggest value in -21, b, 15? 15 Let m = -28.7 - 9.3. Let q = m + 36. Let d be 15/((-15)/(-3)) + 26/(-8). What is the third smallest value in q, -5, d? d Let r = 1.07 - 1.85. Let q = r - -1.08. Which is the fourth smallest value? (a) 2/23 (b) -2/7 (c) -0.4 (d) q d Let x = 288/431 - 2/1293. Let r = 219 - 222. What is the second smallest value in -1, 0.07, x, r? -1 Let b be 6/(-18) + -2*3 + 3140/420. What is the smallest value in 0.3, -1/6, -5, -0.1, b? -5 Let y = -0.02 - 1.98. Let f = 0.08 - -0.22. Suppose i = 3*o - 26, -7*i - 97*o - 2 = -100*o. Which is the third biggest value? (a) f (b) i (c) y (d) 3 a Let k = -637 - -72. Let h = 564 + k. What is the smallest value in 3/2, 1, -4/25, h? h Let d = -22.1 - -20. Let g = -0.37 + 0.57. Which is the third biggest value? (a) d (b) -0.2 (c) g a Let l = -1225 - -1225. Which is the fourth smallest value? (a) 2 (b) l (c) 0.141 (d) -3/5 a Let o = -431.4 - -431.6. Let j be 2/(-6) + 133/21. Let i be (-15)/4 - (-18)/j. What is the third biggest value in i, -1/5, o, 0.1? -1/5 Let f = 15866 + -15740. Let h be (3 + 11/(-5))/(-2). Which is the second biggest value? (a) -5 (b) f (c) h c Let o = -269/1419 - -1/129. Let p(h) = -h - 18. Let f be p(-14). Let l = 2879 - 14399/5. Which is the third biggest value? (a) o (b) -11/3 (c) l (d) f b Let r = -1692 + 1696. Which is the smallest value? (a) 2/3 (b) 26 (c) r a Suppose v + 5 = 9. Let x = 57 + -57.33. Let b = -0.53 - x. What is the third biggest value in 5, b, v? b Suppose 3*m = 7 - 139. Let a be (1 + (-26 - -23))/(4/(-78)). Let o = a + m. What is the biggest value in o, -5/6, 2? 2 Let n be 1/4 - 21/60. Let f be (84 - 39) + (-3 - 34). Which is the smallest value? (a) 1/2 (b) f (c) n c Let w = 2069.9 + -2070. Which is the fourth biggest value? (a) -4 (b) w (c) -5 (d) 1/2 c Let k(x) = 16*x - 79. Let p be k(5). Let q be (-6 - (-7)/((-14)/(-23)))/p. What is the smallest value in -5, q, 1? -5 Let u = -195 - -194.6. Which is the second biggest value? (a) 0.2 (b) 2/153 (c) u b Suppose -2*t - 3*d + 117 = 0, 4*t - 95 - 130 = 3*d. What is the fifth biggest value in
{ "pile_set_name": "DM Mathematics" }
3 Suppose 0*b + 27 = b. Let i(v) = v**3 + 20*v**2 + 100*v + 44. Calculate the remainder when b is divided by i(-8). 3 Let k = 464 - 460. Let a(r) = 2*r**3 - 8*r**2 + 4*r - 12. Calculate the remainder when 94/10 + (-2)/5 is divided by a(k). 1 Let l(k) = -k**3 - 29*k**2 + 121*k - 35. Let f be l(-33). Suppose 2*u - 214 = -z, 34*u - 31*u - f = -5*z. Calculate the remainder when u is divided by 10. 6 Let t(u) = u**3 + 4*u + 1. Let v(k) = 108 - 10*k - 213 + 120 - 8*k. Calculate the remainder when v(-8) is divided by t(3). 39 What is the remainder when -78*(-26)/5*485/388 is divided by 144? 75 Let j(d) = d**3 - 4*d**2 + d + 2. Let g be j(4). Let t be (-8)/g*12/8. What is the remainder when ((-3)/t)/(3/50) is divided by 9? 7 Let i = -1547 - -1637. Calculate the remainder when 2429 is divided by i. 89 Let y be (6/5)/(-4 - (-1981)/490). Suppose -3*x = 3*f - 8 - y, -38 = -3*f - x. Calculate the remainder when 18 is divided by f. 5 Suppose 0 = -6*a + 20 + 10. Let k(x) = 2*x**2 - 6*x - 1. Suppose 10*m + 11*m - 945 = 0. Calculate the remainder when m is divided by k(a). 7 Suppose 0 = -0*b + b - 2*y - 119, 0 = -2*y - 2. Suppose -3*s + 5*f = b, s + f + 56 = -3*f. Let i = s - -73. What is the remainder when i is divided by 15? 14 Let g be (-6)/(-27) + (-3)/(-27)*52. Suppose -g = d - 33. Calculate the remainder when 1/((-4)/(-536)) + 0 is divided by d. 26 Suppose 19*o = -111 + 2068. Calculate the remainder when o is divided by (10/(-4))/((-4)/56). 33 Let s = 514 - 493. Suppose 9*d = s*d - 2508. Calculate the remainder when d is divided by 42. 41 Let f = 4869 - 4808. What is the remainder when 429 is divided by f? 2 Suppose -z + 0*z = -80. Let f be (-42 + 45)/(-1 + 2). Suppose 0*w - w = f*y - 42, 0 = -y - 5*w + 14. Calculate the remainder when z is divided by y. 10 Let y be (7/63*-6)/((-2)/93). Calculate the remainder when 270 is divided by (-8097)/(-93) - 2/y. 9 Let m = 66 - 47. Suppose 16 = -4*k - 4*p, 0*p + 4*p - 11 = 5*k. Calculate the remainder when ((-1)/k)/(11/1848) is divided by m. 18 Suppose -4*a + 483 - 393 = j, -3*j = -4*a - 302. What is the remainder when j is divided by 6? 2 Let l(c) = c**3 - 77*c**2 - 163*c + 587. What is the remainder when l(79) is divided by 58? 18 Suppose h = -3*c + 121, 80 = 2*c + 5*h + 8. Calculate the remainder when ((-2)/(-14) - -1) + 33/8085*79835 is divided by c. 40 Let s = 4 + 0. Suppose -p + 5*r = -33 + 6, -s*p + 154 = 3*r. What is the remainder when p is divided by -107 + 94 - ((-410)/18 - (-76)/(-342))? 7 Let r = -1177 - -1185. What is the remainder when 420 is divided by r? 4 Let n(g) = -7*g + 4. Let z be n(-3). Let f = z - 23. What is the remainder when (-112)/(((-4)/16)/(f/8)) is divided by 29? 25 Let n(y) = -6*y - 21. What is the remainder when (1*-71)/(3/15*175/(-35)) is divided by n(-6)? 11 Let p = 65 - 22. Suppose -38 - p = -3*o. Suppose -5*w - 5*h + 49 + 46 = 0, 0 = -2*w - 5*h + 44. Calculate the remainder when o is divided by w. 10 Suppose m - 59*w = -62*w + 63, 3*w = 4*m - 402. Suppose -2 + 10 = z. Calculate the remainder when m is divided by z. 5 Suppose -427 = -26*v + 74 + 201. Calculate the remainder when 4472 is divided by v. 17 Suppose -40*n + 43*n + 3*d - 651 = 0, 5*n + 2*d = 1058. Calculate the remainder when 822 is divided by n. 198 Suppose 4*g - 268 = -2*k, 0 = -9*g + 3*k + 1615 - 892. Suppose 980 + 812 = 4*z. Calculate the remainder when z is divided by g. 73 Let p(d) = d**3 - 37*d**2 + 209*d + 121. Suppose -25 - 35 = -5*b. Calculate the remainder when p(30) is divided by b. 7 Let v(b) = -b**3 - 77*b**2 + 155*b - 153. Calculate the remainder when 234 is divided by v(-79). 66 Suppose 147 = 12*u + 3. Let f(v) = -28*v. Calculate the remainder when f(-1) is divided by u. 4 Let i = -50 - -265. Calculate the remainder when i is divided by (-149 - 6)*(-32)/160. 29 Let k(s) = -s**2 + 19*s + 7. Let p(z) = 2*z**2 - 39*z - 15. Let x(y) = 13*k(y) + 6*p(y). Calculate the remainder when x(12) is divided by (2/2)/((-2)/(-16)). 5 Let u = -18 + 18. Suppose t - 3*c - 27 = u, 104 = -5*t - 5*c + 319. Calculate the remainder when 135 is divided by t. 18 Let t = -14 - -14. Suppose 239 = 3*r - t*k - 2*k, r - 93 = -2*k. Calculate the remainder when r is divided by -1 + 0 + 0/(-5) - -23. 17 Let o be ((-4)/(-6) - 0)/(56/(-672)). What is the remainder when 136/((13 - 3) + o) is divided by 40? 28 Suppose 0*v + 3*v - 246 = 0. Let g be 1/(2/3*13/26). What is the remainder when v is divided by 0 - 1 - (g + -47)? 39 Let b(w) = w**3 - 16*w**2 + 23*w - 9. Let f = 314 + -284. Calculate the remainder when b(15) is divided by f. 21 Suppose 2706 = -10*a + 546. Let c = a - -219. Calculate the remainder when 2*-3*(-6)/4 is divided by c. 0 Suppose -323*h - 40 = -328*h + 345. Let x = 33 - 17. What is the remainder when h is divided by x? 13 Let j(u) = 3*u**2 + 33*u + 33. Let x be j(-10). Suppose -3*p = a - 209, 9*p = 12*p - x*a - 213. What is the remainder when p is divided by 57? 13 Let v(p) = -p**3 + 33*p**2 + 76*p + 461. What is the remainder when v(27) is divided by 82? 81 Let s(u) = -2*u. Let y(j) = -j - 44. Let q(l) = -4*s(l) - 2*y(l). Calculate the remainder when 51 is divided by q(-7). 15 Suppose -4*v + 2*t + 1788 = -2*t, v + 3*t = 459. Suppose 8 = 3*z - 7*z. What is the remainder when (v/3)/2 - z is divided by 13? 12 Let v = -5 - -2. Suppose 3*j = 7*j + 3*r - 105, 0 = -4*r - 20. What is the remainder when j + (-1)/((3/2)/v) is divided by 12? 8 Let y = -44 + 51. Suppose -3*r + 4*d = -158, 0 = 2*r - 3*d - 60 - 46. Let s = r - 23. What is the remainder when s is divided by y? 6 What is the remainder when (-2 - (-2 - 14)) + -2 is divided by 4*70/(-80) - (-2201)/142? 0 Let a(o) = -o - 8. Let g be a(2). Let v(x) = 5*x - 4. Calculate the remainder when ((-4)/g)/((-12551)/(-2090) + -6) is divided by v(6). 24 Let g = 56 + -58. Let i be 1 - ((g - (6 + -3)) + 3). Suppose -17 = i*n - 56. What is the remainder when 18 is divided by n? 5 Suppose -5*p + 4*o = -179, -291*p + 288*p = o - 121. What is the remainder when 139 is divided by p? 22 Suppose 3*i - 4*r - 78 = 0, 0 = -5*i - 0*i - 5*r + 95. What is the remainder when 1251 is divided by i? 19 Suppose 0 = 304*s + 1146 - 6010. What is the remainder when 1463 is divided by s? 7 Let j = 166 - 159. Suppose -j*u + 322 = -112. What is the remainder when u is divided by 17? 11 Suppose 10*v - 350 = 60. Let w(j) = 4*j**2 + 39*j + 208. Calculate the remainder when w(-7) is divided by v. 8 Let c be (6/(-12))/((-1)/78). Let t = c + 92. Suppose 12 = 2*i + 2*i + 4*v, -2*v = -i + 15. What is the remainder when t is divided by i? 5 Suppose 9*s = -461 + 695. Calculate the remainder when 3526 is divided by s. 16 Let i(b) = 4*b**3 + 3*b**2 - 25*b + 80. What is the remainder when i(7) is divided by 95? 94 Let w(y) = 24*y**2 - 5*y - 6. Let p be w(-2). Suppose -p = -9*k + 35. What is the remainder when 42 is divided by k? 12 Suppose -2*p = 241*x - 237*x - 40, 0 = -2*x - 3*p + 24. Calculate the remainder when 27 is divided by x. 0 Let h = 34122 + -33954. Calculate the remainder when 324 is divided by h. 156 Let p(v) = -46*v**2 - 2170*v + 65. Calculate the remainder when p(-47) is divided by 125. 66 Suppose 2*w - 32 = -2*h + 14, 4 = 4*h. Let f be 4*(-2 + (-565)/20). Let o = f - -127. What is the remainder when w is divided by o? 4 Suppose -4*u = f - 1051, 0*u - 3*u - 2*f + 792 = 0. Suppose -627 = -162*x + 143*x. What is the remainder when u is divided by x? 31 Let f(n) = 9*n + 119. Calculate the remainder when f(-12) is divided by 11. 0 Let u(w) = -w**3 - 14*w**2 + 39*w + 141. What is the remainder when 321 is divided by u(-16)? 2 Let k = 78 + 190. Let v be 3/((-36)/k)*-3. Let s = v + -18. Calculate the remainder when 195 is divided by s. 48 Suppose 3*u - 30 = n, 0 = 4*u + n - 5*n - 40. Suppose 0*h + 3*b = 3*h - 192, 4*h - 251 = 5*b. Let t = 107 - h. Calculate the remainder when t is divided by u. 8 Let d(p) = 3*p + 2. Suppose -55 = -9*l + 4*l. Suppose -5*k + 5*q + 750 = 60, 0 = 3*k + 4*q - 421. What is the remainder when k is divided by d(l)? 34 Suppose -84*b - h - 150 = -87*b, 230 = 5*b + 5*h. Suppose 0 = -3*j + 209 + 955. What is the remainder when j is divided by b? 45 Let d = 38 + -1. Let p = -138 + 141. Suppose 57 = p*x - 0*x. What is the remainder when d is divided by x? 18 Let z = 180 + -177. Calculate th
{ "pile_set_name": "DM Mathematics" }
5, 5, -2, 4 in descending order. 5, 4, -1, -2, -35 Sort 4, 18, 27, -3. -3, 4, 18, 27 Put 0.4, -0.01, -790 in increasing order. -790, -0.01, 0.4 Sort -3, 1, 21726 in decreasing order. 21726, 1, -3 Put 1, 5, -2, -4 in increasing order. -4, -2, 1, 5 Sort 20, 0, 2 in descending order. 20, 2, 0 Put -1, 1, 516 in increasing order. -1, 1, 516 Sort 0.4, -0.2, 0.065, 2/7. -0.2, 0.065, 2/7, 0.4 Put -1, -0.03, 0.3, -2/77 in ascending order. -1, -0.03, -2/77, 0.3 Put -3, 35, -0.03 in descending order. 35, -0.03, -3 Sort 7, 2, 58, 4 in descending order. 58, 7, 4, 2 Sort 0, -6, -2, 5. -6, -2, 0, 5 Sort 5, 0, 0.23 in descending order. 5, 0.23, 0 Put -104, -2/11, -2/5 in descending order. -2/11, -2/5, -104 Sort -1, 8, -9, 5. -9, -1, 5, 8 Put -798, -0.2, 1 in decreasing order. 1, -0.2, -798 Sort 3, 0.4, -17/2, -2, -3/7 in descending order. 3, 0.4, -3/7, -2, -17/2 Put -4, 0, -3 in descending order. 0, -3, -4 Sort -3, 4, 0.3, 0.9, -13 in descending order. 4, 0.9, 0.3, -3, -13 Sort 0.1, 0.4, 0.3, 0.2. 0.1, 0.2, 0.3, 0.4 Put -5, 5, 1076 in increasing order. -5, 5, 1076 Put 0.1, -28, 0.12 in decreasing order. 0.12, 0.1, -28 Sort -5, -2, -4, 1 in decreasing order. 1, -2, -4, -5 Put 1, -3, -1, 5 in increasing order. -3, -1, 1, 5 Put -2/9, -5/3, -0.3, -3 in ascending order. -3, -5/3, -0.3, -2/9 Put -0.4, -2, 0.072 in increasing order. -2, -0.4, 0.072 Sort -23, -0.5, -0.063, 0.5, 1/5. -23, -0.5, -0.063, 1/5, 0.5 Sort -0.023, 2, 0. -0.023, 0, 2 Sort -0.1, -10, 12.5 in descending order. 12.5, -0.1, -10 Sort -0.1, -2/341, 2/3, 3, 4/3 in increasing order. -0.1, -2/341, 2/3, 4/3, 3 Sort -5, 29, 0, -1 in ascending order. -5, -1, 0, 29 Sort -941, -1, -5 in decreasing order. -1, -5, -941 Sort -5, -2/7, -1/2, -2/21. -5, -1/2, -2/7, -2/21 Put 0.2, 5, -169 in increasing order. -169, 0.2, 5 Put -0.5, 3/10, 3/8 in descending order. 3/8, 3/10, -0.5 Sort -0.2, 1/3, 9, 2 in descending order. 9, 2, 1/3, -0.2 Sort -3, 0, -18, 3 in increasing order. -18, -3, 0, 3 Sort 5, -2, -20, 2 in decreasing order. 5, 2, -2, -20 Sort -67, 4, 2/9, 9.3, 0.5 in decreasing order. 9.3, 4, 0.5, 2/9, -67 Put 0, 88, 13, 2, -5 in increasing order. -5, 0, 2, 13, 88 Put -1, 2/3, 0.5, 1/4, -1/17 in increasing order. -1, -1/17, 1/4, 0.5, 2/3 Sort -5, -3, -34, -2 in descending order. -2, -3, -5, -34 Sort -5, 64, -2 in descending order. 64, -2, -5 Put 0.7, -0.3, 6, 1/7 in decreasing order. 6, 0.7, 1/7, -0.3 Put 1232, -0.5, 5, -0.4 in decreasing order. 1232, 5, -0.4, -0.5 Put 10, 5, 20 in descending order. 20, 10, 5 Sort 40, -2, 4 in increasing order. -2, 4, 40 Put -253, 0, 2, -5 in decreasing order. 2, 0, -5, -253 Sort 1, 3/7, -4, 2 in decreasing order. 2, 1, 3/7, -4 Put 0.091, 0.2, -3 in descending order. 0.2, 0.091, -3 Sort 1, 3, -1/6. -1/6, 1, 3 Put -50, 2, 17 in decreasing order. 17, 2, -50 Put -1, 5, 83, -8, -3 in descending order. 83, 5, -1, -3, -8 Put -4, -5, 7, 4 in increasing order. -5, -4, 4, 7 Put -0.04, -1/2, -4, 0.05, -0.4 in increasing order. -4, -1/2, -0.4, -0.04, 0.05 Put -5, -3, -15, -2 in descending order. -2, -3, -5, -15 Sort -1, 0.1, -31, -0.3, 0.5 in increasing order. -31, -1, -0.3, 0.1, 0.5 Put -2, -4, -13, -3, 4 in increasing order. -13, -4, -3, -2, 4 Put 24, 4, -5, -3, -35 in increasing order. -35, -5, -3, 4, 24 Sort 0, 2182, 5. 0, 5, 2182 Sort 237, -4, -5, 1, 0 in descending order. 237, 1, 0, -4, -5 Sort 5, -6, -1, 62. -6, -1, 5, 62 Sort -11/273, -1/5, 1/3 in ascending order. -1/5, -11/273, 1/3 Sort -8, -2, 1 in decreasing order. 1, -2, -8 Sort -5, 186, -1 in decreasing order. 186, -1, -5 Sort 2/15, 15, 1, 2/5, 1/5 in increasing order. 2/15, 1/5, 2/5, 1, 15 Sort -3, 42, 0, 2, 21. -3, 0, 2, 21, 42 Sort 5, -2, -0.3, 4 in ascending order. -2, -0.3, 4, 5 Sort -7, -4, -0.01, -0.3. -7, -4, -0.3, -0.01 Sort -156, 1/5, 0.3, 2/9. -156, 1/5, 2/9, 0.3 Put 2/3, 2.2, 1, -2/5, -3 in decreasing order. 2.2, 1, 2/3, -2/5, -3 Sort -62, 0.08, 1/23 in decreasing order. 0.08, 1/23, -62 Sort -2, 1/6, -0.1, 4/3, 0.04 in ascending order. -2, -0.1, 0.04, 1/6, 4/3 Put -6, 0, -15, -2/3, 0.3 in increasing order. -15, -6, -2/3, 0, 0.3 Sort 0.5, -3, -0.11, -4 in descending order. 0.5, -0.11, -3, -4 Sort -3/4, -5, -15/2, -0.1 in descending order. -0.1, -3/4, -5, -15/2 Put -13, 3, 0.1, -0.2, -71 in decreasing order. 3, 0.1, -0.2, -13, -71 Sort -1/3, 0, 0.12 in decreasing order. 0.12, 0, -1/3 Sort 53, -78, 5 in ascending order. -78, 5, 53 Put -1, -108, 2, -3 in descending order. 2, -1, -3, -108 Sort 0.2, -0.1, 5, 11 in descending order. 11, 5, 0.2, -0.1 Put 1, -8, -26, 2 in descending order. 2, 1, -8, -26 Sort -11, 3, -2, -3, 5. -11, -3, -2, 3, 5 Sort 0, -31, 1, -5, 1/2 in descending order. 1, 1/2, 0, -5, -31 Put 1, -1/4, -0.3, -0.5 in ascending order. -0.5, -0.3, -1/4, 1 Sort -1/9, 3, -2/3, 1/6 in ascending order. -2/3, -1/9, 1/6, 3 Put 14, 1, -129, 0 in increasing order. -129, 0, 1, 14 Sort -1, -5, 155, -0.4 in decreasing order. 155, -0.4, -1, -5 Put 8, 1, -50, 4 in descending order. 8, 4, 1, -50 Put 5, -1, 2, -14 in descending order. 5, 2, -1, -14 Put 0.2, 0.64, -0.2 in decreasing order. 0.64, 0.2, -0.2 Sort 5, 10, -3/4, 3/2 in decreasing order. 10, 5, 3/2, -3/4 Put -1, -5/4, 5, -3/2, 2/3 in ascending order. -3/2, -5/4, -1, 2/3, 5 Sort -0.3, 5, -5, -3, -2/13 in descending order. 5, -2/13, -0.3, -3, -5 Sort -3, 4, 16, 1 in ascending order. -3, 1, 4, 16 Put 1, -4, -2, -3, 1/5 in descending order. 1, 1/5, -2, -3, -4 Sort 0.5, 5/93, -4/5 in increasing order. -4/5, 5/93, 0.5 Sort -11/4, -2/7, 0.8 in ascending order. -11/4, -2/7, 0.8 Sort -3, 11, 5. -3, 5, 11 Sort 23, 8, 5. 5, 8, 23 Sort 2, -232, 3 in decreasing order. 3, 2, -232 Sort -2, -373, 1 in ascending order. -373, -2, 1 Sort 10, 1, -286 in increasing order. -286, 1, 10 Put 0.1, -3/31, 1/2, 3/7, -1/4 in descending order. 1/2, 3/7, 0.1, -3/31, -1/4 Put -5, 227, -4 in descending order. 227, -4, -5 Put 0.5, 0.27, -3/4, 4 in increasing order. -3/4, 0.27, 0.5, 4 Sort 4, 18.7, 0.3, 1, 1/3 in ascending order. 0.3, 1/3, 1, 4, 18.7 Sort 0, 187, 1 in decreasing order. 187, 1, 0 Sort 2/7, -276, 1/2, -2 in decreasing order. 1/2, 2/7, -2, -276 Sort -0.5, 5, -0.6. -0.6, -0.5, 5 Sort 3/7, 0, 1, 2/13, -17 in decreasing order. 1, 3/7, 2/13, 0, -17 Sort 4, -0.1, 0.65 in decreasing order. 4, 0.65, -0.1 Sort 1/184, 0.2, -0.1, 2/9 in decreasing order. 2/9, 0.2, 1/184, -0.1 Put 4, 14, -6, -1 in decreasing order. 14, 4, -1, -6 Sort 8, 13, -2, -7, -5 in descending order. 13, 8, -2, -5, -7 Put -1/11, -0.4, 2/7 in decreasing order. 2/7, -1/11, -0.4 Sort -289, 1, -2 in ascending order. -289, -2, 1 Put -21/4, -0.4, -3 in ascending order. -21/4, -3, -0.4 Sort -2, 0, -3, 2 in decreasing order. 2, 0, -2, -3 Put -67, -10, 1/3 in descending order. 1/3, -10, -67 Sort -4, -11, 3, -4/7, -0.6. -11, -4, -0.6, -4/7, 3 Put -28/3, 0.3, -0.5, -1/93 in increasing order. -28/3, -0.5, -1/93, 0.3 Sort -1, 53, 3, 0, -3/2 in decreasing order. 53, 3, 0, -1, -3/2 Put -8, -2, 9 in ascending order. -8, -2, 9 Sort 12, -21, 0 in increasing order. -21, 0, 12 Sort -1, -3, -5, -27 in decreasing order. -1, -3, -5, -27 Put -1, 1, -75, 0, -11 in decreasing order. 1, 0, -1, -11, -75 Sort 4, 14, -5, 5 in descending order. 14, 5, 4, -5 Put -3/7, -0.1, -123 in descending order. -0.1, -3/7, -123 Sort -4, 3, 1/2, -2/31, -1 in descending order. 3, 1/2, -2/31, -1, -4 Sort -66, 2, 3, 8, 4 in increasing order. -66, 2, 3, 4, 8 Sort 2, -6, 4, -2 in descending order. 4, 2, -2, -6 Put 0, 5, 20 in decreasing order. 20, 5, 0 Put -1, 16, 4 in descending order. 16, 4, -1 Put 4, 40, -1, 3 in ascending order. -1, 3, 4, 40 Sort 3/32, 7, 1 in descending order. 7, 1, 3/32 Sort -2, -15, 0.1, 3/5 in descending order. 3/5, 0.1, -2, -15 Sort 1/2, 57, -4, 22, 0.3 in decreasing order. 57, 22, 1/2, 0.3, -4 Put -3, 5, -13 in descending order. 5, -3, -13 Sort -2/3, -18/17, 2, 0.4 in decreasing order. 2, 0.4, -2/3, -18/17 Sort 1.71, -0.4, 1 in decreasing order. 1.71, 1, -0.4 Sort 0.1, -0.3, 2/15, -0.1, 3.2 in descending order. 3.2, 2/15, 0.1, -0.1, -0.3 Put 0.1, -1/3, -205 in ascending order. -205, -1/3, 0.1 Sort 2, -2, -9, -3 in descending order. 2, -2, -3, -9 Put 4, 0.1, -2338 in ascending order. -2338, 0.1, 4 Sort 16, 2/11, 2/9, -2, -0.3 in ascending order. -2, -0.3, 2/11, 2/9, 16 Sort -2, -35, -3, -1, 4. -35, -3, -2, -1, 4 Sort 4, -18, 9.6. -18, 4, 9.
{ "pile_set_name": "DM Mathematics" }
iggest value in 1/2, 5, d? d Let u = -50 + 49.48. Let a = u - -0.12. What is the second smallest value in 0.29, a, 0.2? 0.2 Let g = -39/88 + 3/44. Let o = -0.4158 + -0.0842. What is the second biggest value in 1/2, 4, o, g? 1/2 Let k = -291 + 287. What is the second smallest value in 5, k, -2/11, -5? k Let o = -0.064 + 8.064. Which is the second smallest value? (a) 2 (b) 3 (c) 2/7 (d) o a Let a = -172 + 186.2. Let u = 14 - a. What is the smallest value in -4/7, -4, u? -4 Suppose 4*z = 9*z - 25. Suppose 2*m + z = 5*r - 3*m, 0 = -4*r - 5*m - 5. What is the fourth biggest value in -0.1, -2, r, 1/4? -2 Suppose -3*u - 6 = 0, 4*d + 3*u + u = -116. Let z = d - -50. Suppose -24*s = -z*s. Which is the smallest value? (a) 0.1 (b) s (c) 4/3 b Let m = -45/16 + 379/112. Let g be 4/(-15) - 6/15. Let t = 0.72 + -0.32. Which is the biggest value? (a) t (b) g (c) m c Let w = -114 - -1024/9. Let x be -2 - -2 - ((-25)/9 - (-32)/(-144)). Which is the second smallest value? (a) 13 (b) w (c) x c Let p be (-2)/(-7) - 24/(-14). Let r = -9.6 + 6. Let d = r - -4.6. Which is the smallest value? (a) d (b) p (c) -5 c Let r = -218 + 218.4. Which is the second smallest value? (a) -1 (b) -4 (c) r (d) -3 d Let d be ((-9)/(-2))/((-50)/60) - (-109 - -104). Let g = 0 + -1. Which is the third biggest value? (a) d (b) 5 (c) g c Let s = 1/46 - -77/690. Which is the smallest value? (a) -0.21 (b) s (c) -3 c Let j be -8 + (-288)/(-45) - -1. Which is the fourth smallest value? (a) -0.08 (b) j (c) 0.5 (d) -15/4 c Suppose 3*t + s + 0*s = 11, 3*t + 5*s - 19 = 0. Suppose 3*x = 2*v + 14 + t, 4*x = v + 16. Let j = 6.4 - 6. What is the smallest value in v, j, -0.2? v Let m(w) = 14*w**2 - 11*w. Let l be m(1). What is the smallest value in -2, 5, 10, l? -2 Let u(x) = -4*x + 9. Let i be u(-9). Let n = i - 179/4. What is the second biggest value in -0.3, n, 0.4? n Let h = 1177 - 2353/2. Let r = 149/3 + -49. Which is the second biggest value? (a) h (b) r (c) -0.05 a Let x be (4/1)/(0 - -1). Let p = -19.03 - -64.11. Let n = p + -45. Which is the third smallest value? (a) x (b) n (c) 3 a Let o = 122 - 608/5. Which is the smallest value? (a) 58 (b) o (c) -1/2 c Let w = 926.8 - 927. Which is the fourth biggest value? (a) 5 (b) 0.1 (c) 9 (d) w d Suppose -h + 12 = 4*s, -5*h - s = 3*s - 44. Let m = 2.7 + 22.1. Let i = m + -25. Which is the second smallest value? (a) i (b) h (c) -2 a Let k = -38 + -27. Let t = 66 + k. What is the third smallest value in 0.3, t, -2/5? t Let p = 0.3 - -0.7. Let r = 1.6 - -19.4. Let l = -18 + r. Which is the third biggest value? (a) l (b) p (c) 2/7 c Let u(o) = 9*o**2 - 44*o - 9. Let g be u(5). Which is the biggest value? (a) g (b) 8 (c) -2/7 (d) 16 d Let o(f) = f**3 - 8*f**2 + 6*f + 4. Let l be o(7). What is the biggest value in l, 0.5, 1, -6/7? 1 Let u = -75 + 823/11. Let f be (-1)/(-15) - 66/(-198). Which is the second biggest value? (a) 0.05 (b) f (c) u (d) 3/7 b Let m = -14/19 - -276/323. Suppose 0 = 2*x - 0*x - 10. Suppose -2*l - 24 = -x*d, 0*l = 4*d + 5*l - 6. Which is the biggest value? (a) 1/3 (b) m (c) d c Let g be -1 + 2 + 5/(-7). Let u = 1415 - 1415.3. Which is the fourth biggest value? (a) g (b) 0.4 (c) u (d) 0.038 c Let g be (-1 + 0)/((60/(-1592))/(-3)). Let h = g + 80. What is the fourth smallest value in -1, h, 5, -0.4? 5 Let h = -20 + 11. Let q = -9 - h. Suppose -25 = -6*d + 11*d. Which is the smallest value? (a) d (b) q (c) 2/9 a Let l be ((297/22)/(-27))/((-2)/(-8)). What is the second smallest value in 1/4, l, 1/23? 1/23 Let g = 1457/10 + -291/2. Which is the second smallest value? (a) g (b) -1/4 (c) 0.3 (d) -0.3 b Suppose 40 = 3*g - g. Suppose 2*p + 2*p = g. Let k be p/(-2 - (1 - 4)). Which is the second biggest value? (a) 0.2 (b) k (c) 2/5 c Let k be 6/36*((-15)/(-3) - 1). What is the third biggest value in k, -1, -1/11? -1 Let o = 0.1 - -0.1. Let z = o - 0.2. Let q = 2254 - 2250. Which is the second biggest value? (a) -0.2 (b) q (c) z c Let s = -4 - -2. Let f be 34/(-200) - 1/(-4). Let l be (-70)/(-100)*1/(-7). What is the second biggest value in l, s, f? l Let x = 10.2 - -82.8. Which is the second smallest value? (a) 4 (b) x (c) -2/5 a Let v = 1.997 + -2.297. Which is the smallest value? (a) v (b) 2 (c) 1 (d) -45 d Let z = 193.6 + -194. Let i = 3 + -8. Which is the third biggest value? (a) i (b) 0.7 (c) -1 (d) z c Suppose 0 = -292*t + 295*t - 27. What is the second biggest value in t, -2, -4/11? -4/11 Let c be 1*((-2)/(-13) + 0). What is the second biggest value in c, 11, 3? 3 Let r be (-15)/(-75)*(-5)/(-58). Let t = 121/290 - r. Let q = -1 - 0. Which is the smallest value? (a) 2/9 (b) t (c) q c Let p = -1.1 + 0.6. Let g = -5 - -4.7. Let a = 101/165 - -3/55. What is the third smallest value in p, g, a? a Let x = -0.19 + -0.77. Let z = 1.2 + x. Let v = -0.04 + z. Which is the second biggest value? (a) 2/13 (b) 2 (c) v c Let j(h) = 2*h + 22. Let p be j(-7). Suppose -5*l = -5*b - p*l + 6, -b + 9 = -2*l. What is the third biggest value in 2/7, b, -2/3? -2/3 Let k = -663092/23 - -28830. Suppose -4*o + 10 - 2 = 0. Let i be -2 - ((-34)/10 + o). Which is the second biggest value? (a) i (b) 0.5 (c) k c Suppose 219*j + 3 = 218*j. Let t(v) = v**2 + 2*v. Let y be t(j). Let z = -0.9 - 0.1. Which is the third smallest value? (a) -1.2 (b) z (c) y c Let c be 137/(-548) + 19/(-20). What is the smallest value in -5, c, -73? -73 Let m be 12*1/((-3)/(-6)). Let u be (m/9)/(1/3). Suppose 2*s - 6*s = -u. Which is the second biggest value? (a) s (b) -4 (c) 0.2 c Let y(u) = u**2 - 5*u + 2. Let g be y(3). Let n(q) = -q**3 - 5*q**2 - 5*q - 9. Let x be n(g). Let v = 0.1 - 0.2. What is the second biggest value in x, v, 5? v Let f = 0.46 - -7.54. Which is the second smallest value? (a) f (b) -0.5 (c) -9 b Let l be (23 - 24)/(3/3). Let y = 0.08 + 1.42. What is the second smallest value in y, 5, l, -2? l Let q = -2/3 + 5/12. Let z = -23.7 - -20.77. Let i = -0.07 + z. What is the second biggest value in i, q, 0.3? q Let x = 46/9 + -49/9. What is the second smallest value in -3, 1, x, -2? -2 Suppose -4 = -3*x + x + 2*b, -5*x - 18 = 2*b. What is the biggest value in 2, x, 0.08, 1? 2 Let p = 10/33 + -31/66. Which is the smallest value? (a) p (b) 0.4 (c) 5 a Let f = 94.5 + -51.5. Which is the second smallest value? (a) 4 (b) f (c) -0.05 a Let s = 0.088 - -0.942. Let z = 1.23 - s. Which is the third smallest value? (a) -3 (b) -2 (c) z (d) 1 c Let g(q) = -q**2 + 3*q + 5. Let x be g(4). Let d = 58 + -58.46. Let t = -0.66 - d. Which is the biggest value? (a) t (b) x (c) -2 b Let u be (-4 - 1)*(-3 + -1). Let k be (-2)/15*(-90)/u + -1. What is the smallest value in 5, -2/27, k? k Let l = 5 - 6. Let k = -72.66 - 0.34. Let v = k - -71. Which is the biggest value? (a) l (b) -0.3 (c) v b Let j = 0.0422 - 0.3422. Which is the second biggest value? (a) 2/7 (b) 10 (c) j (d) 2/5 d Let j = 225 + -211.1. Let u = -14 + j. Which is the second biggest value? (a) -2 (b) 1/2 (c) u c Let w be (-130)/39*9/(-6). Which is the second biggest value? (a) 0.2 (b) w (c) -0.3 (d) 1.7 d Let n = 4.07 - 0.47. Let l = -3.4 - n. Let x = 3.5 - 3. What is the smallest value in x, -5, l? l Let v = 441 + -441.065. Which is the smallest value? (a) -3 (b) v (c) 1/7 a Let v = 0.6 - -3.4. Let s = -7084 - -7081. Which is the fourth biggest value? (a) v (b) -0.1 (c) 14 (d) s d Let p = -947/4 + 557/2. Which is the second biggest value? (a) 2/7 (b) p (c) -0.1 a Let n = -2.91 - -2.97. What is the second biggest value in -1/3, 1/5, n, 2/7? 1/5 Let h = -1.738 - -0.138. What is the biggest value in h, -4, -0.01? -0.01 Let y = 14.945 - 15. Let j = 1.455 + y. Which is the third biggest value? (a) j (b) 4 (c) -1 c Let b(t) = t. Let q(c) = -c + 3. Let o(a) = -4*b(a) + q(a). Let n be o(0). What is the third biggest value in n, -1/5, 0.3, -0.4? -1/5 Let l be -12 + (1824/(-36))/(-4). Let w = -1 - -1. Let f = 0 + 3. What is the third smallest value in l, w, f? f Let w = 24 + -21. Let p be w/(-2) + 162/180. What is the smallest value in -0.14, p, 4? p Let f(l) = 23 - 92*l - 97*l + 187*l. Let i be f(10). Let u = -2/149 - -312/1043. Which is the biggest value? (a) -12 (b) i (c) u b Let k = 11.4 + -
{ "pile_set_name": "DM Mathematics" }
1/28 Calculate prob of sequence wddw when four letters picked without replacement from {w: 10, d: 4}. 45/1001 Four letters picked without replacement from {f: 1, t: 1, r: 2, y: 1, j: 1, a: 1}. Give prob of sequence tjfa. 1/840 Two letters picked without replacement from fhfbffhhhhbfhhhfh. What is prob of sequence hf? 27/136 What is prob of sequence le when two letters picked without replacement from obuuuouuuoouooeol? 1/272 Calculate prob of sequence hf when two letters picked without replacement from hoohfhoohfofohh. 3/35 What is prob of sequence zoxj when four letters picked without replacement from {x: 5, z: 2, j: 4, o: 4, m: 2}? 1/357 Three letters picked without replacement from eabekxxbxekblxlaxx. What is prob of sequence lae? 1/408 What is prob of sequence rnrn when four letters picked without replacement from nrnrrnrrnnnnr? 21/286 Calculate prob of sequence vfqb when four letters picked without replacement from nqqvfpbvqnqvpv. 2/3003 Calculate prob of sequence pp when two letters picked without replacement from eeeeeeeeeeppep. 3/91 Four letters picked without replacement from gohgghgzzohjhooooo. What is prob of sequence ooog? 7/612 Four letters picked without replacement from zztzzztzzzztztzttzz. What is prob of sequence tztz? 65/1292 Calculate prob of sequence gpu when three letters picked without replacement from popdduggpp. 1/90 Three letters picked without replacement from kll. Give prob of sequence llk. 1/3 Calculate prob of sequence iivv when four letters picked without replacement from {v: 4, i: 2}. 1/15 Calculate prob of sequence zv when two letters picked without replacement from {z: 2, v: 1}. 1/3 Two letters picked without replacement from fsmmabn. Give prob of sequence sm. 1/21 Calculate prob of sequence nis when three letters picked without replacement from {n: 3, e: 2, i: 5, s: 2}. 1/44 Two letters picked without replacement from {q: 3, s: 2, r: 4, w: 3, v: 2, h: 1}. What is prob of sequence sr? 4/105 Two letters picked without replacement from vmmvvvmvmm. What is prob of sequence mm? 2/9 Calculate prob of sequence ssuu when four letters picked without replacement from usussusuusus. 5/66 Calculate prob of sequence hhh when three letters picked without replacement from nnhccchchcnhhcn. 2/91 Calculate prob of sequence gnn when three letters picked without replacement from ggnnn. 1/5 What is prob of sequence jd when two letters picked without replacement from hhyhhhyyyhdhjhhhh? 1/272 Two letters picked without replacement from lxlllkllxgkkkll. Give prob of sequence kk. 2/35 Three letters picked without replacement from yvvaccagva. Give prob of sequence aca. 1/60 Two letters picked without replacement from {e: 2, f: 4, d: 1, j: 1}. Give prob of sequence jd. 1/56 Three letters picked without replacement from {m: 11, i: 3}. Give prob of sequence iim. 11/364 Calculate prob of sequence zuu when three letters picked without replacement from {g: 3, z: 4, u: 2, j: 1}. 1/90 Two letters picked without replacement from ttbtnnbt. What is prob of sequence nt? 1/7 Four letters picked without replacement from eevvnaiavvaeiaaa. What is prob of sequence aive? 3/910 Four letters picked without replacement from nucudnluaan. Give prob of sequence lnnl. 0 Calculate prob of sequence vhhv when four letters picked without replacement from {h: 2, v: 5}. 1/21 What is prob of sequence bbb when three letters picked without replacement from bbbbbbyyyyb? 7/33 Two letters picked without replacement from {c: 1, l: 1, b: 8, i: 7}. What is prob of sequence bb? 7/34 Two letters picked without replacement from {b: 10, c: 3, v: 1, a: 4}. What is prob of sequence cv? 1/102 Two letters picked without replacement from qkexeqe. Give prob of sequence qx. 1/21 Three letters picked without replacement from qwwwwqgdqpqwwwgdqd. Give prob of sequence pqg. 5/2448 Two letters picked without replacement from {b: 4}. What is prob of sequence bb? 1 Four letters picked without replacement from mwmccwcmzlzzwmccmz. Give prob of sequence mzmc. 5/918 Three letters picked without replacement from sjvvjsusjjjgjussvss. What is prob of sequence gss? 7/969 Three letters picked without replacement from viiiiiviiiviviiiiiiv. Give prob of sequence vvv. 1/114 Three letters picked without replacement from bbbbbbbbbbsbsbbbsb. Give prob of sequence sss. 1/816 Three letters picked without replacement from sskkskskkk. Give prob of sequence ksk. 1/6 Two letters picked without replacement from wowdwwqsw. Give prob of sequence ws. 5/72 What is prob of sequence bt when two letters picked without replacement from {s: 3, t: 3, b: 12}? 2/17 Two letters picked without replacement from buhvqvhj. Give prob of sequence hq. 1/28 Three letters picked without replacement from {p: 2, j: 2, q: 3, y: 4, x: 2, l: 1}. What is prob of sequence xxp? 1/546 Two letters picked without replacement from {s: 1, a: 5, w: 4}. What is prob of sequence ww? 2/15 Three letters picked without replacement from {p: 2, k: 2, e: 2, x: 1, l: 1}. Give prob of sequence pxk. 1/84 What is prob of sequence xqu when three letters picked without replacement from {q: 1, u: 1, x: 1}? 1/6 Two letters picked without replacement from owywyjy. Give prob of sequence wo. 1/21 Three letters picked without replacement from {g: 8, a: 3, w: 2, v: 3}. What is prob of sequence wwg? 1/210 Four letters picked without replacement from {s: 1, c: 1, x: 6, w: 1, u: 4}. What is prob of sequence cxxs? 1/572 What is prob of sequence aq when two letters picked without replacement from aqaqaqqaaaaaaaaaaq? 65/306 What is prob of sequence zsz when three letters picked without replacement from {s: 3, z: 9}? 9/55 Calculate prob of sequence guuo when four letters picked without replacement from {j: 1, o: 1, g: 1, u: 2}. 1/60 What is prob of sequence eev when three letters picked without replacement from {e: 2, v: 2, b: 9, q: 3}? 1/840 Two letters picked without replacement from {z: 3, e: 2, t: 1, k: 10}. Give prob of sequence ez. 1/40 Three letters picked without replacement from {z: 1, m: 2, v: 3, k: 1, g: 1, y: 3}. Give prob of sequence kgy. 1/330 Three letters picked without replacement from {i: 2, f: 1, c: 1, o: 1}. Give prob of sequence cfi. 1/30 Four letters picked without replacement from {p: 13, h: 3}. Give prob of sequence hphh. 1/560 Calculate prob of sequence yy when two letters picked without replacement from {w: 3, y: 2, a: 3, b: 2, p: 1, q: 4}. 1/105 What is prob of sequence bgg when three letters picked without replacement from {g: 2, b: 2}? 1/6 Calculate prob of sequence bk when two letters picked without replacement from {i: 1, t: 1, c: 1, b: 4, k: 2}. 1/9 Two letters picked without replacement from rwtrrllrele. Give prob of sequence et. 1/55 What is prob of sequence nnii when four letters picked without replacement from {n: 2, o: 1, f: 6, i: 7, p: 4}? 7/9690 What is prob of sequence uq when two letters picked without replacement from fqbuw? 1/20 Calculate prob of sequence ty when two letters picked without replacement from ftpttyfypdyyd. 1/13 Two letters picked without replacement from aiaaiasasaisa. Give prob of sequence ai. 7/52 Three letters picked without replacement from {t: 5, z: 9}. What is prob of sequence zzz? 3/13 Calculate prob of sequence kn when two letters picked without replacement from nkknvnu. 1/7 Four letters picked without replacement from {p: 2, l: 3, o: 7, r: 1, i: 6}. What is prob of sequence plpo? 7/15504 Calculate prob of sequence xxw when three letters picked without replacement from lxxwmpj. 1/105 Calculate prob of sequence eeoe when four letters picked without replacement from sjefjefjojjejsje. 1/1820 What is prob of sequence pp when two letters picked without replacement from ppppp? 1 Four letters picked without replacement from tttttttttitiitt. Give prob of sequence ittt. 11/91 What is prob of sequence in when two letters picked without replacement from {n: 7, i: 3}? 7/30 What is prob of sequence ee when two letters picked without replacement from wkkkekewe? 1/12 Three letters picked without replacement from {q: 6, r: 3, u: 2, d: 4}. What is prob of sequence qdu? 8/455 Two letters picked without replacement from {m: 5, w: 2, q: 5}. What is prob of sequence qm? 25/132 What is prob of sequence je when two letters picked
{ "pile_set_name": "DM Mathematics" }
4*t))*(19*t - 30*t + 14*t - 5) to the form r*t + l + d*t**2 and give r. -55 Rearrange 6*h + 4 - 7*h + 3*h - 4*h + 2 + 7*h**2 to the form r*h + u*h**2 + l and give l. 6 Express -24*z + 24*z - 47*z**2 + 1594*z**3 - 1593*z**3 in the form u*z**2 + t*z**3 + a*z + x and give x. 0 Express 82 - 3*k - 2*k**3 + 2*k**2 - 10*k**4 + 0*k**2 - 84 in the form i*k**4 + f*k + h + x*k**3 + p*k**2 and give h. -2 Rearrange (-5*d - 5*d + d)*(124 + 130 + 199) to the form y*d + g and give g. 0 Rearrange -7367 + 1242*r + 7367 to the form u + j*r and give u. 0 Express -n + 200 + 212 + 3*n - 399 + 0*n in the form s*n + k and give s. 2 Rearrange -1 + 166*q**4 - q - 4*q**3 + 172*q**4 - 336*q**4 + 2*q**2 to s*q + a*q**4 + r*q**2 + c*q**3 + d and give c. -4 Rearrange 3*k - 3*k - 13 + 19 - 4*k**2 to x*k**2 + o*k + q and give x. -4 Rearrange 5 - 2*v**3 - 7*v**4 + 3*v**3 + 8*v**4 + 0*v**4 to x + p*v + s*v**3 + l*v**2 + t*v**4 and give s. 1 Express 3*l**2 - 3*l**2 - l**3 + (-2*l**2 - 4*l**2 + 3*l**2)*(-2*l - 3*l - 53*l)*(-3 + 5 - 1) as o + f*l**3 + a*l**2 + r*l and give f. 173 Express -17*z**4 + 2 + 55952*z**3 + 2*z - 55952*z**3 as p*z**4 + c + v*z + a*z**3 + t*z**2 and give c. 2 Rearrange (j - 2*j - 2*j)*(136*j**3 + 45*j**3 - 50*j**3) to the form m*j**3 + n*j + y + p*j**2 + r*j**4 and give y. 0 Rearrange (24*v + 36 - 53*v + 27*v)*(3*v - 2*v - 2*v) to the form f*v + c + p*v**2 and give f. -36 Express (-3 + 0 - 1)*(-4 + 1 + 1)*(5 - 5 - 2341*r - 425*r) as b + q*r and give q. -22128 Express (-3 + 1 + 5)*(0 + 20*r - 1 - 9*r) + 1 - 1 - 3*r + 5*r - 2*r - 8*r in the form n + g*r and give g. 25 Express (g**3 - 4*g**3 - g**3)*(-4 + 3 + 0 + (1 - 2 - 1)*(2 - 3 + 4)*(-1 + 7 - 1)) in the form w + a*g**3 + y*g**2 + p*g and give a. 124 Rearrange 8 - 31*t**2 + 3 - 11 - t**3 + 0*t**3 - 6 to the form q*t**3 + i + y*t**2 + n*t and give y. -31 Express 4*k**2 + 8*k + 357 - 357 as o*k + q*k**2 + y and give o. 8 Rearrange (3009857*k**2 - 8 - 3009860*k**2 - 7*k + 3*k)*(2*k + 1 - 1) to the form a + b*k + o*k**3 + z*k**2 and give b. -16 Express (c**2 + c**2 - 4*c**2)*(-4 + 4 + c) + (-c - c + 5*c)*(-36*c - 46*c - 5389*c**2 + 5391*c**2) in the form t*c**3 + b + p*c**2 + s*c and give p. -246 Rearrange -942 + 2*q**3 + 2*q**2 - q**2 + 942 - q + q**3 to u*q + p + j*q**2 + s*q**3 and give j. 1 Rearrange 327*z**2 + 253*z**2 + 112*z**2 - 169*z**2 to a*z + c + r*z**2 and give a. 0 Express (-1 + 2 - 7)*(w**3 + w**3 + 0*w**3) - 5*w**3 + 10*w**3 - 17*w**3 as p*w**2 + j*w**3 + h + r*w and give j. -24 Rearrange (224 - 3*k - 248 + k**2 + 0*k)*(-7*k + k + 4*k) to z*k**2 + q*k**3 + o + u*k and give u. 48 Express 274*m**3 - 277*m**3 - m**2 - 23*m - 16*m as c*m**3 + q + j*m + y*m**2 and give y. -1 Express (-15 + 22*k**2 - 16*k**2 - k**2)*(-2 - 2 + 2) + (-2*k + 2*k + k)*(-4*k + 3*k + 0*k) - k**2 + 5*k**2 - 2*k**2 as p + z*k**2 + m*k and give z. -9 Rearrange 12*s - 12*s + 32*s**3 + 0*s + 3*s**3 + 0*s + (-2*s**3 - 2*s**3 + 5*s**3)*(8 - 8 - 2) to the form l*s + r*s**2 + z + w*s**3 and give w. 33 Express (-y - 2*y + 5*y)*(-6*y**3 - 12*y**3 + 0*y**3) + 4*y - 335*y**4 - 4*y + 92*y**4 in the form b*y**4 + o*y**2 + a*y**3 + s*y + t and give b. -279 Express -2 + 546*u**3 + 533*u**3 + 2*u**2 - 1145*u**3 + 2*u in the form m*u + v*u**2 + s*u**3 + j and give v. 2 Rearrange (-2*w + w + 8*w)*(-412*w + 415*w + 0 + 4) to k + f*w + x*w**2 and give f. 28 Express -w**3 + 2*w**4 + 7 + w**4 + 5*w - 6*w + 0*w**4 as p*w + r*w**2 + m + z*w**4 + b*w**3 and give b. -1 Rearrange 0*m + 11*m**3 + 2*m - m + 1 - 31*m**2 + 18*m**3 - 30*m**3 to z + a*m**3 + r*m**2 + n*m and give n. 1 Express 83*z - 19*z + 39*z + z - 2*z**2 in the form y*z + b + q*z**2 and give y. 104 Rearrange (-2*u + 2*u + 12*u)*(-3 - 2 + 10 + 12) to w + h*u and give h. 204 Express ((u - 4*u - 3*u)*(2*u - 2*u + u) + 26*u**2 + 5*u**2 - u**2)*(0*u - u + 2*u) in the form o + h*u**2 + q*u + a*u**3 and give a. 24 Express (9 - 7 + 151)*(3*f - 3*f + f**2) in the form g*f**2 + x*f + z and give z. 0 Rearrange 1 + 8*l**2 + 1333*l - 665*l - 665*l to r*l**2 + h + u*l and give u. 3 Rearrange 0 + 0 + 2*d**2 + 14115*d + 125*d**3 - 14117*d to the form a + r*d**2 + w*d**3 + m*d and give m. -2 Express (67 - 27 - 22)*(0 - 1 - 1)*(0*p - p + 2*p) as c*p + i and give c. -36 Express -66*o - 18 - o**3 - 17 - 17 + 53 in the form b*o**2 + r*o + q + a*o**3 and give q. 1 Rearrange 3*b**2 - 3*b**4 - 221*b + 109*b + 111*b + 2 + b**3 to i + n*b**3 + y*b**2 + r*b**4 + a*b and give a. -1 Rearrange v - 3*v + 3*v - 3 + 3 + v - 4*v + 0*v + v + (2 - 1 - 3)*(-2*v + 0*v + 3*v) to the form z*v + u and give z. -3 Express -6*i**2 - 5 + 195*i**2 + 250*i**2 + 3 - 65*i**2 in the form h + z*i + f*i**2 and give f. 374 Rearrange 2 - 29913*o - 15*o**2 + 29913*o to the form j + b*o**2 + s*o and give s. 0 Rearrange (76*x - 19*x - 351*x)*(-1 - x - 2 - 2) to the form z*x + g + w*x**2 and give g. 0 Express 7*n + 2 + 0*n**3 - 9*n - 3 + 6*n**3 as r*n**2 + o*n + b*n**3 + h and give o. -2 Rearrange m**2 + m**2 + 154 - 168 to z*m**2 + q + y*m and give z. 2 Express 1 - 3 - 5 + 3 + 2 + 73*x in the form c + d*x and give d. 73 Express 30 + 29*y**4 + 60 + 6*y**3 - 3*y**2 - 90 as o*y**3 + d + g*y**2 + q*y**4 + j*y and give q. 29 Express -68*g**2 - 69*g**2 + 0*g**2 in the form d + j*g**2 + f*g and give j. -137 Express (3*r**2 + 2*r**2 - 2*r**2)*(2 + 1 - 1)*(-20*r + 21*r - 76*r) as l + t*r**2 + g*r**3 + c*r and give g. -450 Rearrange (-2*p + 10 - 10)*(-2*p + 0 + 0) - 2 + 2 + 2 - 2*p**2 to f*p**2 + d*p + h and give h. 2 Express -28*c**2 + 10*c**3 + 2*c + 5*c**4 - 6*c**4 - 18*c**3 + 10*c**3 as d*c**2 + l*c**3 + f*c + i + r*c**4 and give r. -1 Rearrange -645*o**2 - o - o - 2*o - 2*o**3 + 646*o**2 + 4 to the form b*o**3 + j*o + f*o**2 + s and give f. 1 Rearrange 3 - 3 - y**2 - 2*y**2 + 2*y**2 + y**2 + (-1 + 2 + 0)*(5*y**2 - 3*y**2 + 0*y**2) - 120*y**2 + 2482*y**2 - 2 + 2 to o*y**2 + h*y + q and give o. 2364 Rearrange -4*r**2 - 11*r - 174 - 165 - 168 + 506 to the form j*r + s + m*r**2 and give m. -4 Rearrange 24*p**2 + p**3 - 23*p**2 - 24 + 5*p**4 - 3 + 3 + 0*p**3 to the form c*p + t*p**2 + q*p**3 + u + r*p**4 and give q. 1 Rearrange (-12*w + 14*w + 105*w)*(11*w + 5*w**2 - 11*w) to the form g + a*w**3 + d*w**2 + c*w and give a. 535 Express -2*h - 16*h - h**3 + 22*h + 3 in the form v*h**3 + y + f*h + o*h**2 and give y. 3 Rearrange (-1 + 2 + 0)*(-5*x + 4*x - x) + (-13 - 10 + 0)*(-5*x + 2*x + 7*x) to v + l*x and give l. -94 Express (3 - 2 + 5)*(-2 - 4 + 5)*(13436*i - 13436*i + 458*i**2) as b*i + x*i**2 + p and give x. -2748 Rearrange 18*p - 5*p - 26 + 26 + (-2 + 5 - 1)*(5*p - 5*p + p) to the form b*p + m and give b. 15 Express -10*v**2 + 251*v - v**2 - 252*v + 5*v**2 + 2*v**3 - 7*v**2 as u*v**3 + c + y*v**2 + w*v and give u. 2 Express 2 - 6*z**3 - 5916*z - 9*z**4 + 5914*z - 2*z**3 - 2 as s*z**4 + c*z + a*z**3 + b + h*z**2 and give c. -2 Rearrange 22*u**2 + 20*u**2 + 3*u**3 - 4*u**3 - 44*u**2 - 13*u - 34*u + 2 to p*u + y*u**3 + v*u**2 + s and give v. -2 Express r**2 - 49*r - 3*r**2 - 2*r**4 + 6*r**4 - 45*r in the form s*r**2 + j*r + m*r**4 + h*r**3 + t and give j. -94 Rearrange 13*a**4 + 6*a**4 + a**2 - a**3 + 0*a**3 - 1 + a**2 to the form g*a**3 + n*a**2 + t*a**4 + d*a + x and give x. -1 Express -u**4 + 825 + 2*u + 102337*u**3 - 102337*u**3 in the form l*u**2 + o*u**3 + n + m*u**4 + j*u and give j. 2 Rearrange -43*u + 94*u - 313*u**2 + u**3 - 51*u to the form w*u**2 + h*u + g + j*u**3 and give j. 1 Express 17*y - 11*y + 416*y**2 - 2459*y**2 - 6*y in the form x*y + i*y**2 + z and give i. -2043 Rearrange 13*v + 139*v**3 - 279*v**3 - 5*v**4 + 133*v**3 to k*v + s + r*v**3 + n*v**4 + t*v**2 and give k. 13 Rearrange (199 - 17*c - 422 + 200)*(5 - 3 - 4) to o + m*c and give m. 34 Express (-2*p - 3*p + 4*p)*(4*p**2 - p**2 + 0*p**2) - 3*p**2 - p**3 + 3*p**2 - 22*p**3 - 64 - 110*p**3 + 64 as k + b*p + m*p**2 + c*p**3 and give c. -136 Express (797*n - 385*n - 374*n)*(0*n + 4*n + n) in the form l + o*n**2 + b*n and give o. 190 Rearrange (-94622*g**2 - 184*g**3 + 94622*g**2)*(0*g + g + g) to i + m*g**2 + x*g + z*g**3 + y*g**4 and give i. 0 Express 6*s**2 - 36*s**2 - 31*s**2 as z*s**2 + h*s + o and give z. -61 Express 5*g**2 - 9*g**2 - 3*g**2 + 7*g**2 - 5*g**2 - 13*g**2 + (0*g - 3*g + g)*(-5*g + 2*g + g) as m + c*g**2 + s*g and give c. -14 Express -2*r - 9 + 7 + 4 + r**2
{ "pile_set_name": "DM Mathematics" }
-113, -247, -379, -509, -637? x**2 - 137*x + 23 What is the g'th term of 331787, 331783, 331777, 331769, 331759, 331747? -g**2 - g + 331789 What is the t'th term of -376, -1535, -3480, -6211? -393*t**2 + 20*t - 3 What is the p'th term of -13432, -26803, -40112, -53359, -66544? 31*p**2 - 13464*p + 1 What is the q'th term of -2943715, -5887432, -8831149? -2943717*q + 2 What is the t'th term of -182580, -365154, -547726, -730296, -912864, -1095430? t**2 - 182577*t - 4 What is the d'th term of -172513, -345045, -517577, -690109, -862641, -1035173? -172532*d + 19 What is the h'th term of -300278, -600549, -900818, -1201085, -1501350? h**2 - 300274*h - 5 What is the s'th term of 3626, 3639, 3662, 3695, 3738, 3791? 5*s**2 - 2*s + 3623 What is the q'th term of -140, -341, -644, -1085, -1700? -6*q**3 - 15*q**2 - 114*q - 5 What is the p'th term of 8686, 17375, 26064, 34753, 43442? 8689*p - 3 What is the k'th term of 12695, 25381, 38067, 50753, 63439, 76125? 12686*k + 9 What is the b'th term of -2039, -2030, -2007, -1964, -1895, -1794, -1655, -1472? b**3 + b**2 - b - 2040 What is the g'th term of 211, 404, 597, 790, 983? 193*g + 18 What is the n'th term of 13372, 26644, 39916, 53188, 66460, 79732? 13272*n + 100 What is the x'th term of 212, 1253, 4010, 9341, 18104, 31157, 49358, 73565? 143*x**3 + 40*x + 29 What is the k'th term of -4930, -4958, -4986, -5014, -5042? -28*k - 4902 What is the r'th term of 399, 598, 787, 960, 1111? -r**3 + r**2 + 203*r + 196 What is the x'th term of 5355, 5356, 5357, 5358, 5359? x + 5354 What is the u'th term of -38278, -152825, -343746, -611047, -954734, -1374813, -1871290, -2444171? -u**3 - 38181*u**2 + 3*u - 99 What is the i'th term of 13929, 27975, 42021, 56067, 70113, 84159? 14046*i - 117 What is the j'th term of -2854310, -2854313, -2854318, -2854325, -2854334, -2854345, -2854358? -j**2 - 2854309 What is the n'th term of -227159, -454318, -681475, -908630, -1135783, -1362934, -1590083? n**2 - 227162*n + 2 What is the g'th term of 4206, 8396, 12584, 16770, 20954, 25136? -g**2 + 4193*g + 14 What is the n'th term of 341, 451, 551, 635, 697, 731, 731? -n**3 + n**2 + 114*n + 227 What is the l'th term of -3846, -7597, -11352, -15111? -2*l**2 - 3745*l - 99 What is the t'th term of -115, -437, -959, -1681, -2603, -3725, -5047? -100*t**2 - 22*t + 7 What is the n'th term of -212, 65, 810, 2257, 4640, 8193? 39*n**3 + 4*n - 255 What is the y'th term of -203, -89, 25, 139? 114*y - 317 What is the d'th term of 496, 184, -334, -1058, -1988, -3124, -4466? -103*d**2 - 3*d + 602 What is the h'th term of -2786, -5551, -8300, -11033, -13750, -16451, -19136? 8*h**2 - 2789*h - 5 What is the r'th term of -289, -310, -341, -382, -433? -5*r**2 - 6*r - 278 What is the s'th term of -96889, -96888, -96885, -96880, -96873, -96864, -96853? s**2 - 2*s - 96888 What is the b'th term of 586, 1184, 1794, 2416, 3050? 6*b**2 + 580*b What is the v'th term of -476, -468, -452, -428, -396, -356, -308? 4*v**2 - 4*v - 476 What is the t'th term of -28562, -28532, -28502, -28472, -28442, -28412? 30*t - 28592 What is the u'th term of 21840, 21816, 21792, 21768, 21744, 21720? -24*u + 21864 What is the w'th term of 178798, 178800, 178802, 178804? 2*w + 178796 What is the p'th term of -390933, -781866, -1172799, -1563732, -1954665? -390933*p What is the a'th term of -1383, -1605, -1811, -1995, -2151, -2273, -2355, -2391? a**3 + 2*a**2 - 235*a - 1151 What is the q'th term of 639814, 639813, 639812, 639811? -q + 639815 What is the l'th term of -13739, -13744, -13753, -13766, -13783, -13804? -2*l**2 + l - 13738 What is the h'th term of -649, -5203, -17581, -41701, -81481, -140839, -223693, -333961? -653*h**3 + 6*h**2 - h - 1 What is the c'th term of -444, -551, -658? -107*c - 337 What is the h'th term of -275, -310, -345, -380, -415? -35*h - 240 What is the b'th term of 115, 839, 2821, 6691, 13079? 105*b**3 - b**2 - 8*b + 19 What is the h'th term of 1264, 2831, 4398, 5965, 7532? 1567*h - 303 What is the o'th term of 1384, 2835, 4290, 5749? 2*o**2 + 1445*o - 63 What is the a'th term of 409, 4740, 11959, 22066, 35061? 1444*a**2 - a - 1034 What is the m'th term of -185772, -185775, -185780, -185787? -m**2 - 185771 What is the z'th term of 92, -59, -294, -655, -1184, -1923? -7*z**3 - 102*z + 201 What is the u'th term of -1996, -1985, -1998, -2047, -2144, -2301, -2530? -2*u**3 + 25*u - 2019 What is the h'th term of -30732, -61466, -92200, -122934, -153668? -30734*h + 2 What is the k'th term of 638, 941, 1446, 2153, 3062, 4173, 5486? 101*k**2 + 537 What is the a'th term of 1955, 1948, 1941, 1934, 1927? -7*a + 1962 What is the n'th term of 741, 717, 669, 591, 477, 321, 117, -141? -n**3 - 6*n**2 + n + 747 What is the o'th term of 3418, 13675, 30770, 54703? 3419*o**2 - 1 What is the i'th term of 876, 1805, 2734, 3663, 4592? 929*i - 53 What is the h'th term of -31192, -31186, -31184, -31192, -31216, -31262, -31336? -h**3 + 4*h**2 + h - 31196 What is the h'th term of -1819, -2606, -3395, -4186, -4979? -h**2 - 784*h - 1034 What is the o'th term of -5364, -5355, -5346, -5337, -5328, -5319? 9*o - 5373 What is the m'th term of -8938, -8949, -8958, -8965? m**2 - 14*m - 8925 What is the p'th term of -64, -571, -1456, -2719, -4360? -189*p**2 + 60*p + 65 What is the u'th term of -2275, -4460, -6645, -8830? -2185*u - 90 What is the m'th term of -224, -208, -184, -152, -112, -64? 4*m**2 + 4*m - 232 What is the c'th term of -1081051, -1081045, -1081029, -1080997, -1080943? c**3 - c**2 + 2*c - 1081053 What is the k'th term of -297, -288, -265, -222, -153? k**3 + k**2 - k - 298 What is the j'th term of 25951, 25950, 25949, 25948, 25947? -j + 25952 What is the y'th term of 393, 1136, 1879, 2622? 743*y - 350 What is the r'th term of 65401, 65403, 65403, 65401, 65397, 65391, 65383? -r**2 + 5*r + 65397 What is the b'th term of -3787, -3855, -3923, -3991, -4059, -4127? -68*b - 3719 What is the d'th term of -7792, -15665, -23538, -31411, -39284, -47157? -7873*d + 81 What is the m'th term of 998, 970, 924, 860, 778, 678, 560? -9*m**2 - m + 1008 What is the h'th term of 23, 159, 375, 671, 1047, 1503, 2039? 40*h**2 + 16*h - 33 What is the i'th term of -5044, -5072, -5118, -5182, -5264, -5364, -5482? -9*i**2 - i - 5034 What is the q'th term of -3677142, -3677141, -3677140, -3677139? q - 3677143 What is the r'th term of -1256, -10086, -34050, -80714, -157644, -272406? -1261*r**3 - r**2 + 6 What is the a'th term of 6, -30, -140, -360, -726, -1274, -2040, -3060? -6*a**3 - a**2 + 9*a + 4 What is the j'th term of -891, -922, -973, -1044, -1135, -1246? -10*j**2 - j - 880 What is the h'th term of 220355, 220350, 220341, 220328? -2*h**2 + h + 220356 What is the i'th term of -57845, -115682, -173509, -231320, -289109, -346870, -404597? i**3 - i**2 - 57841*i - 4 What is the a'th term of 802, 3477, 7934, 14173, 22194? 891*a**2 + 2*a - 91 What is the y'th term of 4260, 4250, 4236, 4218? -2*y**2 - 4*y + 4266 What is the x'th term of -76, 111, 302, 497, 696? 2*x**2 + 181*x - 259 What is the o'th term of 82417, 659366, 2225377, 5274982, 10302713, 17803102, 28270681? 82422*o**3 - o**2 - 2*o - 2 What is the k'th term of -125, -285, -539, -887, -1329, -1865? -47*k**2 - 19*k - 59 What is the q'th term of -16549, -16895, -17255, -17635, -18041, -18479, -18955? -q**3 - q**2 - 336*q - 16211 What is the d'th term of 2664, 2868, 3216, 3714, 4368, 5184? d**3 + 66*d**2 - d + 2598 What is the g'th term of -23240, -46484, -69728, -92972? -23244*g + 4 What is the l'th term of -5829, -11661, -17493, -23325, -29157, -34989? -5832*l + 3 What is the d'th term of -27891, -27881, -27871, -27861? 10*d - 27901 What is the o'th term of 785, 1386, 1987, 2588, 3189? 601*o + 184 What is the n'th term of 71620, 143209, 214800, 286393, 357988, 429585? n**2 + 71586*n + 33 What is the t'th term of 24600, 49199, 73798? 24599*t + 1 What is the p'th term of -166890, -166883, -166876, -166869? 7*p - 166897 What is the r'th term of 10753, 21539, 32327, 43117, 53909, 64703, 75499? r**2 + 10783*r - 31 What is the x'th term of 48014, 96032, 144034, 192014, 239966, 287884? -x**3 - 2*x**2 + 48031*x - 14 What is the g'th term of 79556, 159109, 238662, 318215, 397768, 477321? 79553*g + 3 What is the l'th term of 65, 69, -11, -217, -591, -1175, -2011? -7
{ "pile_set_name": "DM Mathematics" }
r**2 - l**2*r + 8999*l*r**2 - l*r - 14688*r**3 wrt r. 528*l**2*r - 88128 Differentiate 26570*g*h + 3966*g + 6 wrt h. 26570*g Differentiate 4*a**4 - 2727*a**3*n**2 - 629*n**2 - 2412*n wrt a. 16*a**3 - 8181*a**2*n**2 What is the second derivative of -16*y**3 + 596*y**2 - 12684*y wrt y? -96*y + 1192 What is the second derivative of 35*q**2*s**4 + 4*q**2*s + 2*q**2 - 12*q*s - 549*s**5 wrt s? 420*q**2*s**2 - 10980*s**3 What is the derivative of 14*i**4 + 2769*i**2*j + 124764*j wrt i? 56*i**3 + 5538*i*j What is the third derivative of -4*j**3*q**3 - j**3*q**2 - 14273*j**2*q**2 + 698*j*q**5 wrt q? -24*j**3 + 41880*j*q**2 Find the third derivative of 792*j*m**6*s - 8*j*m**3*s**2 + j*m**2*s**2 + 2*j*m*s - 68*m**2*s**2 - 2*m**2 wrt m. 95040*j*m**3*s - 48*j*s**2 Find the third derivative of -2*p**3*s**3 + 1118*p**3*s + 23883*p**2*s**3 wrt p. -12*s**3 + 6708*s What is the second derivative of -411303*l**5 + 2*l**2 + 69879*l + 2 wrt l? -8226060*l**3 + 4 Find the first derivative of -2165*p**2 - 80*p - 593382. -4330*p - 80 Find the third derivative of 5*i*p**3*x**2 - 611*i*p**3*x + 117*i*p**2 + 2*i*p*x**2 - i*p*x + p**3*x**2 - p**2 - 26*p wrt p. 30*i*x**2 - 3666*i*x + 6*x**2 Find the first derivative of -766*s**3 + 82*s**2 - 154083. -2298*s**2 + 164*s Find the third derivative of -895*j**4 + 5*j**2 - j + 65. -21480*j Find the third derivative of 11011*p**5*z**2 - p**4*z**2 - 3*p**2*z**2 - 5*p*z**2 + 3*z**2 - 35*z wrt p. 660660*p**2*z**2 - 24*p*z**2 What is the derivative of 5*a*m**3 + 37627*a*m**2*w**2 + 2*a*m**2 + 448*a*m - 9*m**3*w**3 + m**3 wrt w? 75254*a*m**2*w - 27*m**3*w**2 What is the third derivative of -1113207*s**3 - s**2 - 6140*s + 1? -6679242 Find the second derivative of -56152*p**3*s**2 - 10*p**3*s - 2*p**2*s + 5*s - 20 wrt s. -112304*p**3 What is the third derivative of 39165*a**3*v**3 - 2*a**2*v**2 - a**2*v + 5*a*v**2 + 3874*v**3 + v**2 wrt a? 234990*v**3 What is the derivative of 842077*m - 1269438? 842077 Find the first derivative of -24897*b**4 - 84866. -99588*b**3 Find the first derivative of o**4 - 3*o**3 + 16936*o - 553247. 4*o**3 - 9*o**2 + 16936 What is the derivative of 73928*a + 186827? 73928 What is the first derivative of 95*x**4 + 1375*x + 126860 wrt x? 380*x**3 + 1375 What is the second derivative of -48*f*q**3 + 2*f*q - 1891*q**4 - 476369*q wrt q? -288*f*q - 22692*q**2 What is the third derivative of 2*k**4 + 571*k**3*t**2 - 2*k**2*t + 2*k**2 + 10*k*t**2 + 16*t**2 wrt k? 48*k + 3426*t**2 What is the second derivative of 4533*c**2*k**2 + 70*c**2*k - 15051*c**2 - 16*c*k**2 - 2*k**4 wrt k? 9066*c**2 - 32*c - 24*k**2 Find the first derivative of -459*q*u + 10160*q - 8*u wrt u. -459*q - 8 What is the first derivative of 25607*w**3 + 58181 wrt w? 76821*w**2 Differentiate -26907*r**2 + 48366 with respect to r. -53814*r Find the third derivative of -7*b**3*n**3 + 144*b**3*n - 1275*b**2*n**3 - 43*b*n**2 + 2*n**3 wrt n. -42*b**3 - 7650*b**2 + 12 What is the second derivative of 22694*l**4*x + 3*l**2*x**3 - 170*l*x**3 + 2*l*x - 32 wrt l? 272328*l**2*x + 6*x**3 What is the first derivative of -4*k**2*p - 68982*k**2 - 4*k*p**2 - 16*k*p + p**2 wrt p? -4*k**2 - 8*k*p - 16*k + 2*p Find the first derivative of 71*b**2*o + 379*b**2 + 2200*b*o - 3*b + 51 wrt o. 71*b**2 + 2200*b Differentiate -11968*h*s**3*v**3 - 74682*s**3*v**3 - s**3*v**2 wrt h. -11968*s**3*v**3 Find the third derivative of -14*k*n**5 + 793*k*n**2 - 726*n**5 - 3*n**2 - 2*n wrt n. -840*k*n**2 - 43560*n**2 What is the second derivative of -2676066*i**4*n + 9*i*n + 5603*i wrt i? -32112792*i**2*n Find the second derivative of -16800*i*v**3 - 34*i*v**2 + 5*i*v - 46523*i wrt v. -100800*i*v - 68*i What is the third derivative of 402057*d**5 - 6362*d**2 - 2*d - 3 wrt d? 24123420*d**2 Find the third derivative of 194403*f**6 - 80287*f**2. 23328360*f**3 Find the third derivative of -16*a*z**3 + 4*a*z**2 + 1465*a*z - 12*a - 13985*z**3 + z - 2 wrt z. -96*a - 83910 What is the second derivative of 427*w**4 + 2957*w**2 - 997633*w? 5124*w**2 + 5914 What is the third derivative of -147*u**6 - 4*u**4 - 14*u**3 + 3702*u**2 - u wrt u? -17640*u**3 - 96*u - 84 What is the derivative of 12061*r**3 + 3*r + 8638? 36183*r**2 + 3 Differentiate 7520*t**4 - 2*t + 9955. 30080*t**3 - 2 What is the second derivative of -22*l**4 - l**3 + 992*l**2 - 33*l + 2778 wrt l? -264*l**2 - 6*l + 1984 Find the third derivative of -o**5 + 60*o**4 + 402*o**3 - 202*o**2 - 5*o. -60*o**2 + 1440*o + 2412 Find the first derivative of -50*n**3*x + 6859*n**3 + 3846587*x wrt n. -150*n**2*x + 20577*n**2 Differentiate 73334*r**2 - 100278 with respect to r. 146668*r Find the third derivative of 1248606*i**4 + 1347247*i**2 wrt i. 29966544*i What is the derivative of 214008*h - 103947? 214008 Find the third derivative of -5869512*u**5 - 6*u**2 + 253095*u + 2. -352170720*u**2 Find the second derivative of 1836418*g**2 + 38939*g - 35. 3672836 What is the third derivative of 14*h**3*n**3*u - 39*h**3*n - h**3*u**2 + 3*h + 558*n**3*u**2 + 221*n**2 wrt n? 84*h**3*u + 3348*u**2 Find the second derivative of 921031*q**2 + 2825*q + 63. 1842062 Find the first derivative of 2473*o**3*y**3 - 135707*o**3 - y**4 wrt y. 7419*o**3*y**2 - 4*y**3 What is the second derivative of -3*a*r**3*z**3 - 7*a*r**3 + 25*a*r - 14*a*z**3 - 286*r*z**2 + 53*z wrt z? -18*a*r**3*z - 84*a*z - 572*r What is the first derivative of 2*a**2*c*w + 5*a**2*c - 37*a**2 - 5482*a*c*w - a + 10 wrt w? 2*a**2*c - 5482*a*c Find the third derivative of -275*k**4*u - 2771*k**3*u - 24*k**2*u - k**2 + 2*k - 220*u - 4 wrt k. -6600*k*u - 16626*u What is the third derivative of -176*i**5*o**2 + 37*i**5 - 3996*i**2 + 9*o**2 wrt i? -10560*i**2*o**2 + 2220*i**2 What is the third derivative of 3*x**5 + 618*x**4 + 10*x**3 + 865463*x**2 wrt x? 180*x**2 + 14832*x + 60 What is the second derivative of 328265*h**3 + 118312*h? 1969590*h What is the second derivative of 12*b**2*d*v**3 + 4*b**2*d*v + 14*b*d*v**2 - 521*b*v - d*v**2 + v**2 wrt v? 72*b**2*d*v + 28*b*d - 2*d + 2 Differentiate 1107*y**3 - 78*y - 1761967 with respect to y. 3321*y**2 - 78 What is the derivative of -43*b**3 + b**2 + 3*b*d + b + 51873*d wrt b? -129*b**2 + 2*b + 3*d + 1 Differentiate 76804*y**2 - 78972. 153608*y Find the second derivative of -27*l**5 - 50*l**4 - l**2 - 5383*l. -540*l**3 - 600*l**2 - 2 Find the third derivative of 407551*l**3*z**3 + 4561*l**3*z**2 + 3*l**3*z - 2*z**6 wrt z. 2445306*l**3 - 240*z**3 Find the second derivative of 36796*l**5 + 11818*l wrt l. 735920*l**3 Find the second derivative of 246421*o**3 - 8*o - 16427. 1478526*o What is the second derivative of -82300*f**2 - 77192*f wrt f? -164600 What is the derivative of -10707*u + 16065? -10707 Find the first derivative of -50*d**4 + 45*d**2 + 37931 wrt d. -200*d**3 + 90*d Find the second derivative of -991268*b**2*q - 22*b + 6006*q wrt b. -1982536*q What is the first derivative of -4184*t + 2283 wrt t? -4184 Differentiate h**3*n - 4*h**3 - 6777*h**2*n + 256*n - 19 wrt h. 3*h**2*n - 12*h**2 - 13554*h*n What is the second derivative of 16*s**5 - s**4 - 7*s**3 + 1233*s + 2 wrt s? 320*s**3 - 12*s**2 - 42*s Differentiate -1196164*w**3*z - 107076*w**3 - 8 wrt z. -1196164*w**3 Find the third derivative of 56587*r**4 - 4735*r**2 - 10*r wrt r. 1358088*r Differentiate 2085747*d**3*f**2 + 18678*d**3 + 47*d**2 wrt f. 4171494*d**3*f What is the second derivative of 22492*x**2 + 5601*x - 4? 44984 What is the third derivative of 39403*m**4 - 20*m**2 + 3*m + 11? 945672*m Find the third derivative of -67*c*h*k**3 + 49925*c*h*k**2 - 2*h*k**6 + 121*h*k**3 + h*k**2 wrt k. -402*c*h - 240*h*k**3 + 726*h What is the second derivative of -298734*b**2 + 400276*b wrt b? -597468 Differentiate -39595*t + 59489 with respect to t. -39595 Find the third derivative of 238*c*y**4 + 194*c*y**2 + y**5 - 60*y**3 + 45*y**2 - 2*y wrt y. 5712*c*y + 60*y**2 - 360 What is the third derivative of 124*i*m**6 - 2911*i*m**2 - i*m - 357*m**6 wrt m? 14880*i*m**3 - 42840*m**3 What is the second derivative of -d**4 + 12491*d**2 + 30801*d? -12*d**2 + 24982 What is the third derivative of -3*r**4*y + 13*r**4 + 11*r**3*y - 79*r**3 + 278*r**2*y - 2*r*y + 48*r - 5 wrt r? -72*r*y + 312*r + 66*y - 474 Find the first derivative of -6*a*i*z - 27425*a*i + 3*a*z - 4552*z wrt i. -6*a*z - 27425*a Find the second
{ "pile_set_name": "DM Mathematics" }
+ x = -20. Solve 20 = -s*h - 2*h for h. -4 Let f(g) be the second derivative of g**5/20 - g**4/6 - g**3/6 - 2*g**2 - 3*g. Let r = -6 + 9. Let b be f(r). Solve -1 + b = a for a. 1 Let u(h) = 3*h - 4*h + 4 - 3. Let y be u(-2). Solve p + 0*p - y = 0 for p. 3 Suppose -63 = -5*o - 4*o. Solve -4*t - 5 = o for t. -3 Let t be (-61)/(-5) - 20/(-25). Solve 4*n = -5 + t for n. 2 Let i(o) = -1 + 0*o + 4 - 2*o. Let m be i(2). Let h = m + 3. Solve j + h*j = 3 for j. 1 Let q be 4/(-6)*54/(-3). Suppose b + 3*y = 6*y + q, -4*b - y = -22. Suppose -3*k = -0*k - b. Solve 3 = -5*d - k for d. -1 Let a be 26/(-14) + 2 + (-695)/(-35). Solve 2*o - 7*o = -a for o. 4 Let o(q) = -2*q**3 + q - 1. Let g(a) = 2*a**3 - a + 1. Let c(d) = -3*g(d) - 4*o(d). Let j be c(1). Solve y + j*y - 12 = 0 for y. 4 Let y be 2/((-2)/(6 + -8)). Suppose 2*w - 2*k = 0, w + 2*k = 5*w - 6. Solve -g + w - y = 0 for g. 1 Suppose -5*s + 7 = -13. Solve -s*w = -11 - 1 for w. 3 Let x(n) = n**2 + 18*n - 8. Let o be x(-19). Solve 0 = o*b - 10*b + 1 for b. -1 Suppose 12 = 5*f - 23. Suppose 0 = 5*h - f - 3. Solve h = 3*k - 1 for k. 1 Suppose -4*u + 4*n = -16, -4*n + n = -u - 4. Solve u = -m - m for m. -4 Suppose -4*b + 0*b + 20 = 4*f, 4*f + 5 = b. Solve 2*h + 0*h = f for h. 0 Suppose 9 = -4*r - 3. Let k = -3 - r. Solve k = -4*w - w + 10 for w. 2 Suppose 0 = n + 5*w - 27, 0*n - n + 7 = w. Suppose 5*q + 25 = 0, 13 + 3 = n*g + 4*q. Solve -5*h + 2 + g = 0 for h. 4 Let g be (-8)/12 - (-40)/6. Let y = g - 2. Suppose -y = -h - 2. Solve 0*r = -h*r + 8 for r. 4 Suppose -2*h - 15 + 19 = 0. Let t(w) = w**3 + 7*w**2 - 9*w - 8. Let m be t(-8). Solve m = -h*q + 2 - 6 for q. -2 Suppose 5*x - 2*r - 20 = 0, 5*r + 12 = -5*x - 3. Solve -7*k = -x*k for k. 0 Suppose -5 = 3*q + 2*q. Let f be ((-15)/(-12))/(q/(-4)). Suppose 3*r + 4*p = 20, -r - 2*p - 2 = -f*p. Solve r*m - 6*m = 2 for m. -1 Suppose 3*c = 2*c + 3. Let g be 0 + (0 + c)/(-3). Let z be (2 + (g - -1))*2. Solve s = z - 0 for s. 4 Let u be 6 + 0 + (1 - -2). Suppose l + 0*x = 2*x + 16, -x = 5*l - 69. Suppose 2*k + k + l = 4*w, 2*k - u = -w. Solve -w*h - 1 = 14 for h. -3 Let y be 55/22 + 6/4. Solve -1 = q + y for q. -5 Suppose -5*q + q = -12. Solve 0 = g - q*g - 2 for g. -1 Suppose 2*h + 4 - 1 = -w, 4 = -4*h. Let s be w/2 + (-15)/(-30). Solve s = -0*d + d for d. 0 Let r = 71 + -71. Solve -2*d - d - 15 = r for d. -5 Suppose -3*x = 5*o - 4*x - 1, 5*x + 5 = 3*o. Suppose j - 17 - 8 = o. Suppose 0 = -2*f + r + 10, 6*f - r - 15 = 3*f. Solve 0 = -0*w - f*w - j for w. -5 Suppose -4*a + 12 = -2*t, -a + 3 = -t - t. Let j = -3 + t. Let y = j - -7. Solve 3*p + y + 2 = 0 for p. -2 Let t be 3*3 + (1 - 1). Let g be 20 + ((-18)/6 - 1*-2). Suppose 3*a + 0*a - g = -z, -3*z = -2*a + t. Solve a = -s + 4 for s. -2 Let q = 53 - 49. Solve -q*n = -7 - 9 for n. 4 Let q be (-16)/(-3) - 1/3. Suppose -1 = -2*w + q. Solve 0 = -w*n - 10 - 5 for n. -5 Let d(b) = -b**2 - b - 1. Let s be 6/(-8) + (-2)/8. Let o(x) = 4*x**2 + 16*x - 1. Let f(m) = s*o(m) - 6*d(m). Let c be f(6). Solve -5*p - c = 1 for p. -4 Let b(x) = -x - 1. Let p(d) = -3*d - 2. Let h(l) = 9*b(l) - 4*p(l). Suppose -j + 1 = 2*z - 2, -z - 3 = -4*j. Let w be h(j). Solve 0 = 2*o + w + 2 for o. -2 Suppose -2*c - 4*h - 52 = 2*c, c + 1 = 2*h. Let z = 11 + c. Solve 0 = -3*a - z*a + 15 for a. 3 Suppose -d + 45 = 12. Suppose 2*c - 5*n - d = 0, 0 = 3*c - 4*c + n + 9. Suppose c*a = 3 + 9. Solve -a*y - 5 = -4*y for y. 5 Suppose 5*w - 41 + 1 = 2*t, 0 = -4*w - 5*t + 65. Let k be 5/w - (-19)/(-2). Let b be 2/k + 58/18. Solve 2 + 7 = b*c for c. 3 Let b be (0/(0 - 5))/(-2). Solve -g + 1 - 5 = b for g. -4 Suppose 0 = 3*m - 0 - 15. Let z(j) = -j**3 + 4*j**2 + 6*j - 4. Let r be z(m). Suppose 2*v + 15 = -5*w, v + 3*w + 7 + 2 = 0. Solve v*d - r = -d for d. 1 Let j be 8/(-12) + 8/3. Solve -j*l - 7 - 3 = 0 for l. -5 Let t(d) = 2*d**2 - d + 1. Let y(j) = -j**2. Let b(u) = -t(u) - 3*y(u). Let n be b(-4). Solve -3*m = n - 2 for m. -3 Let d = 91 + -87. Solve 0 = -d*q + 18 + 2 for q. 5 Let z(v) be the first derivative of -v**3/3 + 3*v**2 + 4*v - 3. Let h be z(6). Solve 9*w = h*w + 20 for w. 4 Let m(g) = -g**2 + 16*g + 1. Suppose 3*u - 4*a = 37, -3*u + 5*a + 39 = 2*a. Let y be m(u). Solve 0 = 5*o - o + y for o. -4 Let a(l) = -3*l - 8. Let m be a(-4). Solve s = -0*s - m for s. -4 Suppose 2*j = -0*j + 6. Suppose 4*w - 38 = -4*l + 94, -2*w + 3*l = -91. Suppose w = 5*p - j*k, -3*p + 5*k = -6*p + 50. Solve 2*o = -0*o - p for o. -5 Suppose 0 = 4*g - 0*g - 16. Let v(i) = -3*i + 5*i + 0 - 5. Let u be v(g). Solve u*d = d for d. 0 Let d = 0 + -6. Let x(g) = 5*g**2 - 5 + 0*g**2 + 11*g - 3*g - 3*g**2. Let c be x(d). Solve -7 = -3*m - c for m. -4 Let z = -7 + 9. Suppose -4*u = z*c - 32, 3*c - 5*u - 3 - 1 = 0. Solve -c = -7*o + 3*o for o. 2 Let l = 6 - 1. Suppose -l + 0 = -m. Solve 0 = m*c - c + 20 for c. -5 Suppose -k + 1 = r, 6 = 3*r + 2*k + 2*k. Let q(l) = -3*l**3 - l**2 - 3*l - 3. Let b be q(r). Suppose 12*h - 4 - 80 = 0. Solve 4*m = h - b for m. -4 Let x(a) = -a**2 - 12*a + 10. Let i be x(-12). Let y be i/35 - 26/(-7). Solve 0*s = -y*s - 12 for s. -3 Let k = 18 + -24. Let j be 9 + 3 + k - 3. Solve 0*g = -g + j for g. 3 Let s be ((-8)/(-4))/((-2)/8). Let v be 3*5/((-30)/s). Solve 0 = 3*a - v*a for a. 0 Suppose -h + 6*h = 115. Suppose 0 = -5*f - 2*t + h, 0*t = -f - t + 4. Let z(u) = -u**3 + 2*u**2 - 1. Let c be z(1). Solve 5*b + c*b = f for b. 1 Let r = -3 + 7. Let m(n) = -3*n + 19. Let d be m(6). Solve -r - d = -5*l for l. 1 Let u(v) = -v - 5. Let y = -5 + -3. Let p be u(y). Solve -5*r - 10 = -p*r for r. -5 Let o = 27 - -16. Let r = 1 - -3. Suppose -2*w = 4*k + w - 19, 5*w = r*k - o. Solve -3*y - k = 2 for y. -3 Let p = 4 - 4. Solve -i + 0 - 4 = p for i. -4 Suppose 27 - 90 = -3*z. Suppose -3*r + z = 6. Solve -r*s = -2*s for s. 0 Suppose 5*a = 3*c - 0*c + 122, c = -3*a + 76. Let u(o) = o**3 - 6*o**2 + 5*o + 6. Let v be u(5). Solve -v*z - a = -z for z. -5 Suppose w = -2*w + 24. Suppose -4*o + w = -0*o. Suppose 5*z - 2*m - 25 = 0, -6 = 3*z + 4*m + 5. Solve -z*v + 10 = -o for v. 4 Let w be (3/2 - -2)*-2. Let m(q) = -q**2 - 6*q + 9. Let r be m(w). Solve -10 + 2 = -r*t for t. 4 Let b(i) = -i**3 + 7*i**2 + 9*i - 3. Let s be b(8). Solve 21 = -4*h + s for h. -4 Suppose -5*i - v = -4*v - 25, 0 = 5*v + 25. Suppose i*g - 20 + 8 = 0. Suppose -n + y - 23 = -5*n, 0 = 5*n - 5*y - 35. Solve n*k = 3*k - g for k. -2 Let r(o) = -o**3 - 17*o**2 + 19*o + 22. Let z be r(-18). Solve 4*y + z = -0 for y. -1 Suppose 6*k + 0*k - 150 = 0. Solve -4*s + k = s for s. 5 Let b be 16/72 + 6/(-27). Solve b*u - 9 = -3*u for u. 3 Suppose 3*f - 4*w - 15 = 16, 0 = -f - 4*w - 11. Solve -f*g - 5 - 10 = 0 for g. -3 Let f = -3 + 3. Solve -2*z + 0 + 2 = f for z. 1 Let z be 0 - 4*22/(-4). Let c = z + -16. Suppose 2*a - 3 = -k + c, 0 = -3*k - 3. Solve i = a*i + 20 for i. -5 Suppose x = -x - 2*j + 6, -j = 5*x - 3. Solve -6*b + x*b = 0 for b. 0 Let f be (-46)/(-8) + 36/(-48). Solve 17 = -f*z + 2 for z. -3 Let u be (-10)/(2 + (-8)/2). Solve -20 = -5*i - u for i. 3 Let c(y) = -2*y - 4. Let d be c(-6). Let i = 9 - d. Solve 3*h - i = -7 for h. -2 Suppose -3*j + 6*j = 60. Solve 5*w - j = w for w. 5 Suppose -13 = -3*f - n, -2*f + 6*n = 3*n - 27. Suppose 3*l - 3*h = 6, 5*l + 0*h + 2*h + 11 = 0. Let q = 1 + l. Solve q = 2*k - 0*k + f for k. -3 Suppose 2*w + 16 = -4*g, -g = -w + 4 - 3. Suppose 0*u + 3*u - 15 = 0. Let i be (g - 34/(-10))*u. Solve -20 = -i*q - 2*q for q. 5 Let d(y) = y**3 + 4*y**2 - 2*y - 2. Let f be d(-4). Solve -6 = -4*g + f for g. 3 Suppose 0 = 5*c - c - 12. Suppose k = 3*k - o - 18, c*k - 5*o = 41. Solve 0 = 5*f - k + 2 for f. 1 Let f be (-20)/(-6) - (-4)/6. Solve 0 = f*t + 11 + 9 for t. -5 Suppose 0 = -3*l + 2*m + 25, -l - l + 2*m = -18. Solve -3*r - 4 + l = 0 for r. 1 Let k(w) = w**3 - 8*w**2 - 9*w + 2. Let z = -3 + 12. Let o be k(z). Solve u - 7 = -o for u. 5 Let h(c) = c**2 + c. Let d be 48/(-18) + (-2)/(-3). Let w be h(d). Solve 0*l + w*l = -4 for l. -2 Let n(b) = -b**2 + 6*b + 5. Let g be n(6). Solve -2*k - g = -3*k for k. 5 Suppose b - 2*d + 6 = 0, -4 = 4*b - 3*d + 5. Suppose -5*n + 24 + 6 = b. Solve 2*z = -0*z - n for z. -3 Let z(t) = -t - 4. Let s be z(-6). Suppose -4*h = -18 + s. Solve 20 = h*u + u for u. 4 Let z(a) = a. Let k be z(2). Let l(h) = h**3 - 2*h**2. Let t be l(k). Solve -d - 3*d - 16 = t f
{ "pile_set_name": "DM Mathematics" }
be the third derivative of h**4/24 + 8*h**3/3 + 3*h**2. Let z(a) = 28*a + 2933. Let s be z(-105). Determine t(s). 9 Let w(c) = c**2 - 41*c + 273. Let m be w(33). Let v(y) = y**3 - 10*y**2 + 16*y - 29. Give v(m). 34 Let w(x) = -x**2 + 7*x - 8. Let y be w(6). Let g be 2/y*1*2. Let q(m) = 1 - 12*m - 3*m + 2*m**2 - 7*m + 21*m. Give q(g). 11 Suppose -48 = 2*s + 2*h, -230*s + 231*s + 26 = -2*h. Let f(n) = 2*n + 43. Give f(s). -1 Let i(g) = g - 4. Let r(f) = 8. Suppose -2*j + 34 = 5*m + 46, 2*m - 2*j = -2. Let p(t) = m*r(t) - 5*i(t). Let o be (-4)/10 - 54/(-10). What is p(o)? -21 Let t(o) = -4*o**2 + 4*o**2 - 4*o**2 - 1 - o + 2*o**2. Suppose 5*z - 4*j + 35 = 0, -51*j + 6 = 3*z - 48*j. What is t(z)? -16 Let u(v) = 10*v**2. Let c be 3 + (7 - 8) - -1. Suppose 8*s = 3*t + 6*s - 1, 2*s - 5 = -c*t. Determine u(t). 10 Let w(y) = -1103 - 1329 + 2268 - 32*y. Give w(-5). -4 Let a(p) = -63*p - 124. Let r be a(-8). Let j(i) = 2*i**2 + r*i - 1 - 382*i + 4*i**2 - i**3. Give j(3). 20 Let p(a) = -a**2 + 23*a + 42. Suppose -63 = -3*i - 3*m, 3*i + 13*m - 67 = 12*m. What is p(i)? 42 Suppose -35 = 5*h - 5*g, 3*h - 2*g + 21 = -3*g. Let t(q) = 19*q**2 + 11*q + 12. Let w(d) = 35*d**2 + 21*d + 21. Let z(o) = -11*t(o) + 6*w(o). Determine z(h). 8 Let n be 11 + (0 - 4) + 0 + 0. Let h(j) = 94*j**2 + 3*j - j**3 - n*j - 90*j**2. Let w(g) = g**2 - 8*g + 10. Let d be w(7). Give h(d). -3 Suppose -81*g - 18 = -87*g. Suppose -5*a + 2*m - 19 = 0, -g*a - 3*m - 26 = -2. Let j(u) = u**2 + 3*u + 4. What is j(a)? 14 Let l(w) be the third derivative of -7*w**5/120 + w**4/6 + 52*w**3/3 + 111*w**2. Let r(x) be the first derivative of l(x). Calculate r(3). -17 Suppose 5*o = 33*o. Let s be 6 - (-3 + 1)*-2. Let u(l) = 0*l + 5 + 5 - l - s. Determine u(o). 8 Let n(d) = 5*d**2 - 175*d + 476. Let x be n(32). Let j(y) = -y**2 - 33*y - 110. Give j(x). 6 Let v(y) = -4*y**2 + 11. Let n(a) = 11*a**2 + a - 34. Let b(l) = -3*n(l) - 8*v(l). Let z(d) = -d**2 - 32*d + 138. Let m be z(4). What is b(m)? -4 Let t(u) = -5 + u**3 - 7*u - 2*u - 2*u**3 + 9*u**2. Let w = -267 - -272. Suppose -12 = -s + w*z + 11, s + 4 = -4*z. Give t(s). -13 Suppose -h = 1, h - 427 = 3*s - h. Let l = s - -140. Let v(w) = 3*w**2 + 3*w - 3. What is v(l)? 15 Let j(h) = -72 + 289 - 57*h - 86 - 80. Give j(1). -6 Let t(s) = -9*s**2 - 41*s + 10. Let g be (-31)/7 + 21 + (-3744)/182. Give t(g). 30 Let f(z) be the third derivative of 0 + 1/120*z**6 - 11/60*z**5 + 0*z + 18*z**2 - 1/12*z**4 + 5/6*z**3. Calculate f(11). -17 Let a be (-28)/(-36) - (-2)/9. Suppose -4*j + j + 16 = 5*y, -5*y + 10 = 0. Let r(i) = -7*i**j + 5*i**2 + 1 - i**2 - 7*i**2. Give r(a). -9 Let i = -101 + -124. Let n = -237 - i. Let l(w) = -w**3 - 12*w**2 + 1. Determine l(n). 1 Let w(l) be the second derivative of l**5/20 + l**4/3 - 4*l**3/3 - 7*l**2/2 + 75*l - 2. Let b = -68 - -63. Give w(b). 8 Let b(w) = w. Let p be 0 - (-4 - 1) - -345. Let j = 346 - p. Calculate b(j). -4 Let t(q) be the first derivative of q**4/4 + 16*q**3/3 + 13*q**2/2 - 5*q - 1222. Determine t(-15). 25 Let r(z) = 6*z + 160. Let k(u) = u**3 + 20*u**2 + 19*u - 27. Let w be k(-19). Let t be r(w). Let d(n) = -2*n - 6. Determine d(t). -2 Let i(u) = u**2 + 2*u + 5. Let o = -744 + 747. Let r be ((-72)/54)/(o/(-9)). Give i(r). 29 Suppose -609 - 119 = -41*r - 72. Let d(i) be the third derivative of 0*i - 1/2*i**5 - 1/6*i**3 - r*i**2 + 1/12*i**4 + 0. Calculate d(1). -29 Let s(w) = 6 - 3*w + 17*w - 49*w + 18*w + 18*w. Let m = 10 - 17. Give s(m). -1 Let x(y) = 216*y**2 - 426*y**2 + y + 44 + 211*y**2. Determine x(0). 44 Suppose 0 = -41*w + 42*w. Suppose 2*m + q - 14 = 0, 2*q + q + 6 = w. Let r(i) = -i**2 + 7*i + 11. Calculate r(m). 3 Let m(p) = 6 - 4 - 7 - 2*p - 3. Let r = 400 + -418. Let k be (-3)/2 + -11 + (-135)/r. Calculate m(k). 2 Let l(m) = 8*m + 2. Suppose -265*w = -264*w + 2. Calculate l(w). -14 Suppose 0*n - 3*n - y = -1, 0 = 2*n - 3*y - 19. Let o(c) = 5*c - 7. Let z(q) = -3*q + 6. Let m(d) = n*o(d) + 3*z(d). Determine m(-7). -3 Let d(g) = g + 8*g**2 - 9 - g**2 + g**3 + 2. Suppose 1498 + 417 = -248*y + 179. Calculate d(y). -14 Let n(f) = -2*f**3 - 9*f**2 + 16*f + 2. Let t(v) = -3*v**3 - 20*v**2 + 33*v + 3. Let q(l) = -5*n(l) + 3*t(l). Calculate q(14). 69 Let g(w) = w**2 + 4*w - 12. Let l be g(-6). Suppose -4*c + 3*a - 9 + 3 = 0, -5*c + 2*a - 11 = l. Let o(b) = -b - 2 - 2 + 3. What is o(c)? 2 Let f(o) = -21 - o + 3797*o**2 + 3783*o**2 - 7579*o**2. What is f(-5)? 9 Let a(y) = -2*y + 14. Let i be a(10). Let z be 3 - i*(-3)/6. Let o(k) = 3*k + 5. Let p be o(z). Let l(s) = -3*s - 3. Determine l(p). -18 Suppose 9 + 19 = 4*g. Suppose -2 - g = 3*h. Let f(o) = -25*o + 2. Let n(q) = -61*q + 7. Let b(r) = 5*f(r) - 2*n(r). Calculate b(h). 5 Let t(b) = -b**3 + 47*b**2 - 64*b - 29. Let d(r) = 2*r**2 + r + 3. Let v(p) = 5*d(p) - t(p). Determine v(35). 9 Let i be -2 - 1/(2/(-28)) - 15/(-3). Let s(p) = -4*p + 89. Determine s(i). 21 Let h(i) = 8*i - 57. Suppose -650*j - 203 = -679*j. Give h(j). -1 Let h be ((-10)/(-4))/((-7)/(-1190)). Suppose 0 = 5*d + 2*q - h, d + 2*q + 170 = 3*d. Let o = d + -76. Let a(s) = -s**3 + 8*s**2 + 10*s - 12. What is a(o)? -3 Let x(v) = 2*v + 9. Let l(y) = y - 1. Let t(m) = 3*l(m) - x(m). Let r = 35 - 37. Let d(f) = f**3 + 3*f**2 + 2*f. Let a be d(r). What is t(a)? -12 Let x be (2 - (-6)/(-3))/(5 - 8). Suppose 25 = 2*u - 6*v + 3*v, x = -4*u - v + 85. Let t be 8/u + 3/5. Let y(o) = -16*o**3 - o**2 - o + 1. What is y(t)? -17 Let z(f) = -19*f**3 + 18*f**2 - 14*f - 13. Let q(p) = 23*p**3 - 19*p**2 + 19*p + 13. Let d(h) = 5*q(h) + 6*z(h). Let r = 11 - 29. Let o = 6 + r. Give d(o). -1 Let o = 2938 + -2901. Let j(b) = b**3 - 39*b**2 + 73*b + 50. Determine j(o). 13 Let m(z) be the first derivative of 13*z**2/2 + 93*z + 9787. What is m(-6)? 15 Let k(o) be the second derivative of o**6/360 - o**5/12 + o**4/12 + 65*o**3/6 + 61*o. Let z(y) be the second derivative of k(y). Determine z(8). -14 Let h(b) = 29*b - 45. Let q(x) = -140*x + 223. Let s(n) = 29*h(n) + 6*q(n). Determine s(-8). 25 Suppose -358 = -7*w - 316. Let p(n) be the first derivative of 2 + 0*n**2 + 2*n**3 - 1/4*n**4 + n. Calculate p(w). 1 Let z = -5866 + 5892. Let d(m) = -m**3 + 28*m**2 - 51*m - 11. Give d(z). 15 Suppose o + 1 = -4, -4*l - 20 = 4*o. Let x(m) = -m**2 + m + 100. What is x(l)? 100 Let j = 12640 + -12649. Let d(p) = -2*p + 1. Let u(m) = m - 1. Let o(x) = 3*d(x) + 4*u(x). Give o(j). 17 Suppose y - 25 = -5*q, -y + 25 = 5*q + y. Let f(x) = 4*x**2 + 2*x**2 - 2*x + q*x**3 + 0*x**2 - 4*x**3. Determine f(-6). 12 Let q(m) = 5*m**2 - 5*m - 43. Let k(s) = 4*s**2 - 4*s - 38. Let z(v) = 6*k(v) - 5*q(v). Let u be (-4)/26 + 10/65. Suppose u = -g - 3*g. Give z(g). -13 Let u be 1 - (-5 + (3 - 1)). Let t(s) = -419 - 411 + 840 - 5*s. Determine t(u). -10 Suppose 250 = 11*h + 327. Let i(q) be the second derivative of -q**4/12 - 4*q**3/3 - q**2 + 143*q. Determine i(h). 5 Suppose -4*m + 65 = -15. Suppose -4*f - 8 = -m. Suppose 3*y + 15 = -f*r, -6*y - 8 = -5*y + 4*r. Let u(w) = w**2 + 4*w. Calculate u(y). 0 Let h(b) = b**2 - 3*b - 7. Let j = -289 + 428. Suppose j = 4*l + 3*s, 0 = -2*l + l - 3*s + 28. Let v = 43 - l. Give h(v). 11 Let x(d) be the first derivative of d**4/4 - 10*d**3/3 + 3*d**2/2 - 1411. Calculate x(8). -104 Let f(b) = 77. Let w(l) = 15. Let s(d) = 2*f(d) - 11*w(d). Let c = -9 + 14. Let r(y) = y + 1. Let m(t) = c*r(t) + s(t). Give m(4). 14 Let u(i) = -3*i**2 + 6*i - 4. Suppose 18*j + 2*d = 16*j + 4, -j = -5*d + 4. Calculate u(j). -1 Let z(y) = y**3 + y**2 - 12*y - 2. Suppose -22*l = 30*l - 156. Determine z(l). -2 Let q be (-10)/(-6)*(-40 - 8236/(-145)). Let v(s) = -s**3 + 29*s**2 - 30*s + 71. Calculate v(q). 15 Let m(o) = -358*o - 350*o + 1073*o - 5 - 354*o. Give m(2). 17 Let q(z) = 2*z + 15. Suppose -3*a - 485 = 4*t - 466, 0 = -5*t + 4*a - 47. Give q(t). 1 Suppose -3*m = -3*b, 25 = 17*m - 14*m + 2*b. Let r(h) be the third derivative of h**4/24 - 5*h**3/3 - h**2. What is r(m)? -5 Let x(w) = -2*w**3 + w + 1. Let v(h) = 3*h**3 + 22*h**2 + 73*h + 461. Let n be v(-7). Calculate x(n). 2 Let a(z) = 13. Let x(v) = 33*v + 71. Let q(t) = a(t) - x(t). Determine q(-2). 8 Let g(k) = 4*k + 11. Let s(o) = 1. Let p(x) = -g(x) - 3*s(x). Let n be p(-4). Let y(f) = -4*f**n - 3 + f + 2 + 5*f**2. Give y(2). 5 Let u = -69 - -72. Suppose u*w = -3*w + 42. Suppose
{ "pile_set_name": "DM Mathematics" }
180359, -8180367, -8180375, -8180383? -8*u - 8180343 What is the u'th term of -1999, -1810, -1623, -1438, -1255? -u**2 + 192*u - 2190 What is the m'th term of -13463581, -13463583, -13463585, -13463587? -2*m - 13463579 What is the w'th term of -1197367, -2394743, -3592119, -4789495? -1197376*w + 9 What is the r'th term of -24420267, -48840539, -73260811? -24420272*r + 5 What is the s'th term of 5255485, 5255487, 5255489, 5255491, 5255493, 5255495? 2*s + 5255483 What is the j'th term of -27979235, -27979238, -27979241, -27979244, -27979247? -3*j - 27979232 What is the u'th term of 15325, 14519, 13173, 11287? -270*u**2 + 4*u + 15591 What is the h'th term of -12428, -109696, -373714, -887858, -1735504? -13896*h**3 + h**2 + h + 1466 What is the y'th term of -55965560, -111931121, -167896682, -223862243, -279827804? -55965561*y + 1 What is the a'th term of 23893445, 47786889, 71680333, 95573777? 23893444*a + 1 What is the w'th term of 14592, 29129, 43666, 58203, 72740, 87277? 14537*w + 55 What is the b'th term of -1512456, -1512463, -1512470, -1512477? -7*b - 1512449 What is the w'th term of 30880, 30938, 31010, 31096, 31196, 31310, 31438? 7*w**2 + 37*w + 30836 What is the a'th term of 2632, 11469, 26176, 46753, 73200, 105517? 2935*a**2 + 32*a - 335 What is the q'th term of 59, 587, 2027, 4829, 9443, 16319, 25907? 75*q**3 + 6*q**2 - 15*q - 7 What is the w'th term of 11920, 11796, 11672, 11548, 11424? -124*w + 12044 What is the p'th term of -4238085, -16952100, -38142117, -67808130, -105950133, -152568120, -207662085, -271232022? p**3 - 4238007*p**2 - p - 78 What is the t'th term of 37641, 65630, 93619, 121608, 149597, 177586? 27989*t + 9652 What is the o'th term of 411477, 822947, 1234415, 1645881? -o**2 + 411473*o + 5 What is the k'th term of 540336, 2161396, 4863162, 8645634, 13508812? 540353*k**2 + k - 18 What is the l'th term of 4879, 9475, 14071, 18667? 4596*l + 283 What is the t'th term of 1658299, 3316578, 4974857, 6633136, 8291415? 1658279*t + 20 What is the d'th term of -483689, -967364, -1451039? -483675*d - 14 What is the f'th term of 4627, 11335, 22515, 38167? 2236*f**2 + 2391 What is the x'th term of 9580, 19248, 28916, 38584, 48252, 57920? 9668*x - 88 What is the p'th term of 133, 164, 259, 466, 833? 8*p**3 - 16*p**2 + 23*p + 118 What is the g'th term of 2086, 4156, 6276, 8446? 25*g**2 + 1995*g + 66 What is the c'th term of 6948, 7544, 8138, 8730, 9320, 9908, 10494? -c**2 + 599*c + 6350 What is the i'th term of -687113, -687114, -687115, -687116, -687117? -i - 687112 What is the f'th term of -5175, 3385, 26635, 71925, 146605? 1225*f**3 - 5*f**2 - 6395 What is the d'th term of -1025, -3669, -7933, -13817? -810*d**2 - 214*d - 1 What is the k'th term of -266462, -266821, -267180, -267539, -267898? -359*k - 266103 What is the n'th term of 248490719, 248490716, 248490713, 248490710, 248490707, 248490704? -3*n + 248490722 What is the o'th term of -2198186, -8792714, -19783586, -35170796, -54954338, -79134206, -107710394, -140682896? o**3 - 2198178*o**2 - o - 8 What is the s'th term of 7872694, 15745375, 23618054, 31490731, 39363406, 47236079, 55108750? -s**2 + 7872684*s + 11 What is the l'th term of 734758, 734772, 734786, 734800, 734814? 14*l + 734744 What is the j'th term of -182351, -364690, -547013, -729314, -911587, -1093826, -1276025? j**3 + 2*j**2 - 182352*j - 2 What is the b'th term of -4324, -7061, -11626, -18025, -26264, -36349? -b**3 - 908*b**2 - 6*b - 3409 What is the o'th term of 19484, 77970, 175460, 311960, 487476, 702014, 955580? o**3 + 19496*o**2 - 9*o - 4 What is the p'th term of -13363, -53548, -120531, -214318, -334915, -482328, -656563? -p**3 - 13393*p**2 + p + 30 What is the k'th term of -49068, -196633, -442572, -786885, -1229572? -49187*k**2 - 4*k + 123 What is the i'th term of 802, 1617, 2504, 3457, 4470, 5537, 6652, 7809? -i**3 + 42*i**2 + 696*i + 65 What is the y'th term of -2000, -8198, -18564, -33098, -51800? -2084*y**2 + 54*y + 30 What is the r'th term of 697, 417, -843, -3083? -490*r**2 + 1190*r - 3 What is the t'th term of -16174048, -16174053, -16174058? -5*t - 16174043 What is the d'th term of -120492, -241384, -362684, -484392, -606508? -204*d**2 - 120280*d - 8 What is the w'th term of -1623755, -3247500, -4871245? -1623745*w - 10 What is the b'th term of -370, -1333, -2838, -4807, -7162? 13*b**3 - 349*b**2 - 7*b - 27 What is the i'th term of -2176, -2431, -2686, -2941? -255*i - 1921 What is the t'th term of -1202391, -1202364, -1202317, -1202250, -1202163, -1202056? 10*t**2 - 3*t - 1202398 What is the t'th term of 8525247, 8525249, 8525253, 8525259? t**2 - t + 8525247 What is the r'th term of -783, -200, 1789, 5184, 9985? 703*r**2 - 1526*r + 40 What is the q'th term of 621, 1979, 3449, 5025, 6701, 8471? -q**3 + 62*q**2 + 1179*q - 619 What is the p'th term of 787, 3888, 12247, 28492, 55251? 438*p**3 + p**2 + 32*p + 316 What is the b'th term of 93036, 93138, 93240? 102*b + 92934 What is the y'th term of -12135091, -48540971, -109217431, -194164465, -303382067, -436870231, -594628951? y**3 - 12135296*y**2 + y + 203 What is the r'th term of 3684800, 7369764, 11054728? 3684964*r - 164 What is the k'th term of -45276533, -45276534, -45276535, -45276536? -k - 45276532 What is the i'th term of -31354, -60877, -90400, -119923, -149446, -178969? -29523*i - 1831 What is the g'th term of -5851686, -5851639, -5851592, -5851545, -5851498, -5851451? 47*g - 5851733 What is the n'th term of -58481, -118476, -178471, -238466? -59995*n + 1514 What is the r'th term of -367, -497, -591, -631, -599, -477? 3*r**3 - 151*r - 219 What is the w'th term of 5241, 9591, 13043, 15597, 17253, 18011, 17871? -449*w**2 + 5697*w - 7 What is the r'th term of -35928, -60518, -101502, -158880, -232652, -322818, -429378? -8197*r**2 + r - 27732 What is the u'th term of 1170575, 4682440, 10535595, 18730040, 29265775, 42142800? 1170645*u**2 - 70*u What is the x'th term of -638814, -1279036, -1919258, -2559480, -3199702? -640222*x + 1408 What is the c'th term of 18675733, 37351467, 56027199, 74702929, 93378657? -c**2 + 18675737*c - 3 What is the h'th term of -1837991, -3675990, -5513989, -7351988, -9189987? -1837999*h + 8 What is the j'th term of 511, 2815, 6947, 12907? 914*j**2 - 438*j + 35 What is the r'th term of 1586, 437, -1540, -4345, -7978, -12439? -414*r**2 + 93*r + 1907 What is the v'th term of -8038, -15117, -22196, -29275, -36354, -43433? -7079*v - 959 What is the o'th term of -2311, -9362, -21067, -37402, -58343, -83866, -113947? 4*o**3 - 2351*o**2 - 26*o + 62 What is the h'th term of 657060, 657041, 657022, 657003, 656984, 656965? -19*h + 657079 What is the p'th term of 326564609, 653129219, 979693829, 1306258439, 1632823049? 326564610*p - 1 What is the o'th term of 116168, 116296, 116436, 116594, 116776, 116988? o**3 + 121*o + 116046 What is the i'th term of 11524634, 23049266, 34573898? 11524632*i + 2 What is the l'th term of -150709, -301412, -452107, -602794? 4*l**2 - 150715*l + 2 What is the i'th term of 870, 1473, 1484, 609, -1446, -4975? -49*i**3 - 2*i**2 + 952*i - 31 What is the r'th term of -11702, -23252, -34778, -46280? 12*r**2 - 11586*r - 128 What is the w'th term of 50694, 50725, 50770, 50829, 50902? 7*w**2 + 10*w + 50677 What is the z'th term of 1137, 928, 579, 84, -563, -1368, -2337, -3476? -z**3 - 64*z**2 - 10*z + 1212 What is the y'th term of -31076591, -31076587, -31076581, -31076573, -31076563, -31076551? y**2 + y - 31076593 What is the t'th term of -15159, -15032, -14821, -14520, -14123, -13624, -13017, -12296? t**3 + 36*t**2 + 12*t - 15208 What is the m'th term of -1689595, -1689621, -1689647? -26*m - 1689569 What is the s'th term of 5084, 18638, 40654, 71132, 110072, 157474? 4231*s**2 + 861*s - 8 What is the y'th term of -37694, -37731, -37792, -37877, -37986, -38119? -12*y**2 - y - 37681 What is the h'th term of -70970515, -70970512, -70970507, -70970500, -70970491, -70970480, -70970467? h**2 - 70970516 What is the f'th term of -3248, -4672, -4328, -2216? 884*f**2 - 4076*f - 56 What is the n'th term of -33935, -24976, -10043, 10864? 2987*n**2 - 2*n - 36920 What is the w'th term of -9789, -39173, -88133, -156675, -244805, -352529, -479853? -w**3 - 9782*w**2 - 31*w + 25 What is the a'th term of -2663, -11051,
{ "pile_set_name": "DM Mathematics" }
, 19 What are the prime factors of 7874? 2, 31, 127 List the prime factors of 51657. 3, 67, 257 What are the prime factors of 10483? 11, 953 List the prime factors of 69516. 2, 3, 1931 What are the prime factors of 12168? 2, 3, 13 List the prime factors of 3313. 3313 List the prime factors of 11497. 11497 List the prime factors of 597. 3, 199 List the prime factors of 50973. 3, 13, 1307 List the prime factors of 1244. 2, 311 What are the prime factors of 52483? 31, 1693 List the prime factors of 25752. 2, 3, 29, 37 What are the prime factors of 38070? 2, 3, 5, 47 What are the prime factors of 6093? 3, 677 List the prime factors of 772. 2, 193 List the prime factors of 59. 59 What are the prime factors of 7954? 2, 41, 97 What are the prime factors of 20470? 2, 5, 23, 89 List the prime factors of 84017. 84017 List the prime factors of 893. 19, 47 List the prime factors of 1775. 5, 71 What are the prime factors of 9151? 9151 What are the prime factors of 20775? 3, 5, 277 List the prime factors of 7705. 5, 23, 67 List the prime factors of 3867. 3, 1289 What are the prime factors of 1141? 7, 163 What are the prime factors of 1645? 5, 7, 47 List the prime factors of 5697. 3, 211 List the prime factors of 1202. 2, 601 What are the prime factors of 1716? 2, 3, 11, 13 What are the prime factors of 6445? 5, 1289 List the prime factors of 345. 3, 5, 23 What are the prime factors of 24403? 23, 1061 What are the prime factors of 9877? 7, 17, 83 List the prime factors of 5704. 2, 23, 31 List the prime factors of 19088. 2, 1193 What are the prime factors of 746? 2, 373 What are the prime factors of 395? 5, 79 What are the prime factors of 1543? 1543 List the prime factors of 643. 643 List the prime factors of 139166. 2, 149, 467 What are the prime factors of 5868? 2, 3, 163 List the prime factors of 129. 3, 43 What are the prime factors of 9035? 5, 13, 139 List the prime factors of 62904. 2, 3, 2621 What are the prime factors of 484? 2, 11 What are the prime factors of 16185? 3, 5, 13, 83 What are the prime factors of 46031? 191, 241 What are the prime factors of 10091? 10091 What are the prime factors of 3796? 2, 13, 73 List the prime factors of 444. 2, 3, 37 List the prime factors of 2628. 2, 3, 73 List the prime factors of 9933. 3, 7, 11, 43 List the prime factors of 27413. 79, 347 List the prime factors of 14792. 2, 43 List the prime factors of 26234. 2, 13, 1009 List the prime factors of 29226. 2, 3, 4871 What are the prime factors of 3682? 2, 7, 263 What are the prime factors of 8544? 2, 3, 89 List the prime factors of 13802. 2, 67, 103 List the prime factors of 8528. 2, 13, 41 List the prime factors of 617. 617 What are the prime factors of 55325? 5, 2213 What are the prime factors of 18344? 2, 2293 List the prime factors of 761. 761 What are the prime factors of 21107? 21107 List the prime factors of 2787. 3, 929 What are the prime factors of 897? 3, 13, 23 List the prime factors of 134439. 3, 41, 1093 What are the prime factors of 35622? 2, 3, 1979 What are the prime factors of 53329? 17, 3137 List the prime factors of 39769. 39769 List the prime factors of 5127. 3, 1709 What are the prime factors of 1341? 3, 149 What are the prime factors of 609? 3, 7, 29 List the prime factors of 41573. 7, 5939 What are the prime factors of 83077? 83077 What are the prime factors of 5364? 2, 3, 149 List the prime factors of 38395. 5, 7, 1097 List the prime factors of 37221. 3, 19, 653 List the prime factors of 1874. 2, 937 What are the prime factors of 75? 3, 5 What are the prime factors of 1898? 2, 13, 73 What are the prime factors of 148? 2, 37 What are the prime factors of 1070? 2, 5, 107 What are the prime factors of 45242? 2, 22621 List the prime factors of 24818. 2, 12409 What are the prime factors of 181? 181 What are the prime factors of 19211? 19211 List the prime factors of 117. 3, 13 List the prime factors of 25248. 2, 3, 263 List the prime factors of 2931. 3, 977 What are the prime factors of 1051? 1051 What are the prime factors of 22592? 2, 353 What are the prime factors of 47799? 3, 47, 113 List the prime factors of 10935. 3, 5 What are the prime factors of 396? 2, 3, 11 List the prime factors of 2444. 2, 13, 47 List the prime factors of 753. 3, 251 List the prime factors of 54096. 2, 3, 7, 23 What are the prime factors of 3799? 29, 131 What are the prime factors of 194? 2, 97 What are the prime factors of 2556? 2, 3, 71 List the prime factors of 5257. 7, 751 What are the prime factors of 6667? 59, 113 List the prime factors of 8456. 2, 7, 151 What are the prime factors of 18660? 2, 3, 5, 311 List the prime factors of 67547. 67547 List the prime factors of 157282. 2, 19, 4139 List the prime factors of 83692. 2, 7, 61 List the prime factors of 1395. 3, 5, 31 What are the prime factors of 37522? 2, 73, 257 What are the prime factors of 1629? 3, 181 List the prime factors of 2111. 2111 What are the prime factors of 641? 641 List the prime factors of 2937. 3, 11, 89 What are the prime factors of 1126? 2, 563 List the prime factors of 217. 7, 31 What are the prime factors of 1823? 1823 List the prime factors of 6884. 2, 1721 What are the prime factors of 1069? 1069 What are the prime factors of 549? 3, 61 List the prime factors of 1776. 2, 3, 37 List the prime factors of 1181. 1181 List the prime factors of 4549. 4549 List the prime factors of 3074. 2, 29, 53 List the prime factors of 14041. 19, 739 List the prime factors of 551. 19, 29 What are the prime factors of 67639? 11, 13, 43 List the prime factors of 375. 3, 5 List the prime factors of 374. 2, 11, 17 What are the prime factors of 2382? 2, 3, 397 List the prime factors of 27111. 3, 7, 1291 List the prime factors of 82431. 3, 43, 71 List the prime factors of 2530. 2, 5, 11, 23 List the prime factors of 25799. 25799 List the prime factors of 377. 13, 29 List the prime factors of 1333. 31, 43 List the prime factors of 622. 2, 311 List the prime factors of 115653. 3, 19, 2029 What are the prime factors of 39977? 7, 5711 List the prime factors of 1144. 2, 11, 13 List the prime factors of 9783. 3, 1087 List the prime factors of 10399. 10399 What are the prime factors of 1784? 2, 223 What are the prime factors of 2876? 2, 719 List the prime factors of 2722. 2, 1361 List the prime factors of 3050. 2, 5, 61 List the prime factors of 7311. 3, 2437 List the prime factors of 218. 2, 109 What are the prime factors of 591? 3, 197 What are the prime factors of 12274? 2, 17, 19 List the prime factors of 5068. 2, 7, 181 What are the prime factors of 4734? 2, 3, 263 What are the prime factors of 103? 103 List the prime factors of 8478. 2, 3, 157 List the prime factors of 1176. 2, 3, 7 List the prime factors of 403. 13, 31 List the prime factors of 145698. 2, 3, 7, 3469 List the prime factors of 2401. 7 List the prime factors of 22968. 2, 3, 11, 29 What are the prime factors of 30859? 30859 What are the prime factors of 1460? 2, 5, 73 What are the prime factors of 19070? 2, 5, 1907 List the prime factors of 124889. 71, 1759 What are the prime factors of 67194? 2, 3, 3733 What are the prime factors of 200521? 239, 839 List the prime factors of 343. 7 List the prime factors of 637. 7, 13 What are the prime factors of 8290? 2, 5, 829 What are the prime factors of 5914? 2, 2957 What are the prime factors of 29372? 2, 7, 1049 What are the prime factors of 5666? 2, 2833 List the prime factors of 9179. 67, 137 What are the prime factors of 5748? 2, 3, 479 List the prime factors of 1994. 2, 997 List the prime factors of 1425. 3, 5, 19 What are the prime factors of 1117? 1117 List the prime factors of 681. 3, 227 List the prime factors of 27294. 2, 3, 4549 What are the prime factors of 14826? 2, 3, 7, 353 List the prime factors of 185. 5, 37 List the prime factors of 11644. 2, 41, 71 List the prime factors of 31632. 2, 3, 659 List the prime factors of 1856. 2, 29 List the prime factors of 287. 7, 41 List the prime factors of 4166. 2, 2083 List the prime factors of 22992. 2, 3, 479 List the prime factors of 11888. 2, 743 What are the prime factors of 13449? 3, 4483 What are the prime factors of 35830? 2, 5, 3583 What are the prime factors of 779? 19, 41 What are the prime factors of 43482? 2, 3, 7247 List the prime fact
{ "pile_set_name": "DM Mathematics" }
-18369, -18196, -18017, -17838, -17665? -t**3 + 18*t**2 + 72*t - 18881 What is the l'th term of 141249, 565000, 1271253, 2260008? 141251*l**2 - 2*l What is the o'th term of 1992, 8876, 20696, 37458, 59168, 85832, 117456, 154046? o**3 + 2462*o**2 - 509*o + 38 What is the n'th term of -17159, -31187, -45207, -59219, -73223? 4*n**2 - 14040*n - 3123 What is the b'th term of 552759, 1105574, 1658389? 552815*b - 56 What is the w'th term of 768, -1361, -3490, -5619, -7748, -9877? -2129*w + 2897 What is the r'th term of 1795, 3485, 5095, 6637, 8123? 2*r**3 - 52*r**2 + 1832*r + 13 What is the c'th term of -530168, -530159, -530142, -530117, -530084? 4*c**2 - 3*c - 530169 What is the q'th term of 656474, 2625899, 5908272, 10503593, 16411862, 23633079, 32167244? 656474*q**2 + 3*q - 3 What is the k'th term of 3850, 4368, 4670, 4756, 4626, 4280, 3718? -108*k**2 + 842*k + 3116 What is the p'th term of 121, 811, 2517, 5701, 10825, 18351? 77*p**3 + 46*p**2 + 13*p - 15 What is the o'th term of -28660, -56424, -83292, -109264, -134340, -158520, -181804? 448*o**2 - 29108*o What is the a'th term of -62575, -124897, -187219, -249541, -311863? -62322*a - 253 What is the r'th term of -439124, -1756492, -3952104, -7025960, -10978060, -15808404? -439122*r**2 - 2*r What is the m'th term of 9295, 9291, 9289, 9289, 9291, 9295? m**2 - 7*m + 9301 What is the i'th term of -1956, -1129, -292, 561, 1436, 2339, 3276, 4253? i**3 - i**2 + 823*i - 2779 What is the b'th term of 2355, 2070, 1619, 1020, 291, -550, -1485, -2496? 3*b**3 - 101*b**2 - 3*b + 2456 What is the m'th term of -11546114, -23092233, -34638352? -11546119*m + 5 What is the l'th term of -5341, -8351, -11361? -3010*l - 2331 What is the f'th term of 10924, 6714, 2504? -4210*f + 15134 What is the f'th term of -1057405, -2114808, -3172211, -4229614? -1057403*f - 2 What is the i'th term of 14594, 14176, 13480, 12506, 11254? -139*i**2 - i + 14734 What is the o'th term of 55507, 55539, 55523, 55435, 55251, 54947, 54499, 53883? -4*o**3 + 60*o + 55451 What is the l'th term of -161963, -161964, -161965, -161966, -161967? -l - 161962 What is the q'th term of -37514, -73620, -109722, -145820, -181914, -218004? 2*q**2 - 36112*q - 1404 What is the o'th term of -221425, -221441, -221467, -221509, -221573, -221665? -o**3 + o**2 - 12*o - 221413 What is the v'th term of 215120, 215123, 215126, 215129, 215132? 3*v + 215117 What is the z'th term of -39321, -39228, -39081, -38886, -38649, -38376, -38073, -37746? -z**3 + 33*z**2 + z - 39354 What is the h'th term of -7809, -15045, -22281, -29517, -36753? -7236*h - 573 What is the u'th term of 128, -799, -2836, -5989, -10264? -u**3 - 549*u**2 + 727*u - 49 What is the w'th term of -2222036, -2222070, -2222154, -2222312, -2222568, -2222946? -4*w**3 - w**2 - 3*w - 2222028 What is the l'th term of 7980842, 7980866, 7980908, 7980968, 7981046, 7981142, 7981256? 9*l**2 - 3*l + 7980836 What is the r'th term of -21, -167, -389, -675, -1013, -1391, -1797? 2*r**3 - 50*r**2 - 10*r + 37 What is the x'th term of 103333, 826618, 2789823, 6612910, 12915841, 22318578, 35441083, 52903318? 103327*x**3 - 2*x**2 + 2*x + 6 What is the j'th term of -19960, -39844, -59714, -79570? 7*j**2 - 19905*j - 62 What is the s'th term of 188606, 753947, 1696032, 3014861, 4710434? 188372*s**2 + 225*s + 9 What is the a'th term of -2133953, -4267903, -6401853, -8535803, -10669753? -2133950*a - 3 What is the j'th term of -43944841, -43944838, -43944835, -43944832, -43944829, -43944826? 3*j - 43944844 What is the t'th term of 1607404, 3214828, 4822250, 6429670, 8037088, 9644504, 11251918? -t**2 + 1607427*t - 22 What is the l'th term of 2762, 3350, 3818, 4106, 4154, 3902, 3290? -10*l**3 + 658*l + 2114 What is the v'th term of 1828, 3763, 5746, 7777, 9856, 11983? 24*v**2 + 1863*v - 59 What is the d'th term of 40315, 322656, 1088999, 2581342, 5041683, 8712020, 13834351? 40333*d**3 + 3*d**2 + d - 22 What is the t'th term of -2747, -5481, -8223, -10973, -13731? -4*t**2 - 2722*t - 21 What is the d'th term of -1082, -8442, -28366, -67136, -131034, -226342? -1047*d**3 - 31*d - 4 What is the m'th term of 181, 1023, 2007, 3133, 4401, 5811, 7363? 71*m**2 + 629*m - 519 What is the q'th term of 753, 7667, 19191, 35325, 56069, 81423? 2305*q**2 - q - 1551 What is the b'th term of 1190076, 1190135, 1190198, 1190265, 1190336? 2*b**2 + 53*b + 1190021 What is the s'th term of -5174, -10018, -14862? -4844*s - 330 What is the x'th term of 8156, 15297, 21422, 26531? -508*x**2 + 8665*x - 1 What is the f'th term of 1408, 5756, 13020, 23194, 36272, 52248, 71116? -f**3 + 1464*f**2 - 37*f - 18 What is the g'th term of 3392993, 3393005, 3393017? 12*g + 3392981 What is the l'th term of 4266, 34334, 116148, 275646, 538766, 931446, 1479624? 4323*l**3 - 65*l**2 + 2*l + 6 What is the t'th term of 1481, 2028, 2943, 4226? 184*t**2 - 5*t + 1302 What is the c'th term of 55393048, 55393043, 55393038, 55393033? -5*c + 55393053 What is the x'th term of 20755243, 20755242, 20755241? -x + 20755244 What is the g'th term of 13315, 27993, 44035, 61441? 682*g**2 + 12632*g + 1 What is the z'th term of -1063953, -2127900, -3191845, -4255788, -5319729, -6383668, -7447605? z**2 - 1063950*z - 4 What is the k'th term of 366854, 733702, 1100550, 1467398? 366848*k + 6 What is the c'th term of 160671423, 160671421, 160671419, 160671417? -2*c + 160671425 What is the x'th term of 989, 1847, 3321, 5411? 308*x**2 - 66*x + 747 What is the u'th term of 1696, 1720, 1794, 1918, 2092, 2316? 25*u**2 - 51*u + 1722 What is the l'th term of 3028463, 12113803, 27256035, 48455159? 3028446*l**2 + 2*l + 15 What is the c'th term of -434, -4485, -15534, -37079, -72618, -125649, -199670, -298179? -583*c**3 - c**2 + 33*c + 117 What is the k'th term of -45003, -179852, -404549, -719094, -1123487, -1617728? -44924*k**2 - 77*k - 2 What is the i'th term of -367213, -734431, -1101649, -1468867, -1836085, -2203303? -367218*i + 5 What is the j'th term of 351, 2561, 8551, 20217, 39455, 68161, 108231? 316*j**3 - 6*j**2 + 16*j + 25 What is the u'th term of -172, -1017, -3316, -7795, -15180, -26197, -41572? -121*u**3 - u**2 + 5*u - 55 What is the l'th term of -1184, 204, 1626, 3082, 4572? 17*l**2 + 1337*l - 2538 What is the a'th term of -47431, -46975, -46519? 456*a - 47887 What is the o'th term of -330193, -330222, -330255, -330286, -330309, -330318, -330307? o**3 - 8*o**2 - 12*o - 330174 What is the o'th term of -362, -546, -548, -368, -6, 538, 1264? 91*o**2 - 457*o + 4 What is the t'th term of 857400, 1714805, 2572210, 3429615, 4287020? 857405*t - 5 What is the u'th term of -11119, -17262, -23401, -29536, -35667? 2*u**2 - 6149*u - 4972 What is the z'th term of 52407, 104848, 157317, 209814? 14*z**2 + 52399*z - 6 What is the u'th term of 4615, 18557, 41845, 74485, 116483, 167845, 228577, 298685? u**3 + 4667*u**2 - 66*u + 13 What is the r'th term of -2104, -9636, -22624, -41062, -64944, -94264, -129016? r**3 - 2734*r**2 + 663*r - 34 What is the l'th term of 3277, 13128, 29571, 52612, 82257, 118512, 161383, 210876? l**3 + 3290*l**2 - 26*l + 12 What is the l'th term of 144744, 144824, 144904? 80*l + 144664 What is the g'th term of 613229, 2452758, 5518659, 9810938, 15329601, 22074654, 30046103, 39243954? g**3 + 613180*g**2 - 18*g + 66 What is the p'th term of 21039, 168259, 567839, 1345953, 2628775, 4542479, 7213239, 10767229? 21029*p**3 + 6*p**2 - p + 5 What is the p'th term of 115422, 115428, 115434, 115440, 115446, 115452? 6*p + 115416 What is the b'th term of 1836824, 3673632, 5510440? 1836808*b + 16 What is the y'th term of 6171205, 6171186, 6171167, 6171148, 6171129? -19*y + 6171224 What is the s'th term of 23698, 47996, 72294, 96592? 24298*s - 600 What is the n'th term of 19989888, 39979806, 59969724, 79959642? 19989918*n - 30 What is the p'th term of -3870642, -3870637, -3870622, -3870591, -3870538, -3870457? p**3 - p**2 + p - 3870643 What is the n'th term of -1833, -1223, -613, -3? 610*n - 2443 What is the s'th term of -385, -473, 41, 1457, 4075, 8195, 14117? 50*s**3 + s**2 - 441*s + 5 What is the d'th term of -3449959, -13799818, -31049583, -55199254, -86248831, -124198314? -3449953*d**2 - 6 What is the b'th term of 362, 2620, 8530, 19850, 38338, 65752? 293*b**3 + 68*b**2 + 3*b - 2 What is the w'th
{ "pile_set_name": "DM Mathematics" }
Let s = 4 + m. Solve 4*p = -3*q, -s*q - 5*p + 3*p = 0 for q. 0 Let y(x) = -x - 5. Suppose 5*a + 19 = -26. Let g be y(a). Solve 3*c + g*w = 32, 5*c + 4*w - 40 = -0*w for c. 4 Let g be (-2)/(-4) + (-9)/(-6). Let x be -2 + 1 + 0 + 3. Let j be (6/(-4))/(x/(-4)). Solve -j*l - 9 = -2*a, -l = l + g for a. 3 Let h be (8/12)/(2/6). Suppose k + h = 3. Solve 5 = -2*a + 2*r - k, -a = -4*r - 3 for a. -5 Let a = -12 + 25. Suppose m = 2*h + a, 9 = -3*m + m - 3*h. Solve 7 = -5*v + 3*d, -m*v - 5 = -2*d - 1 for v. -2 Let h = 1 + 6. Solve 5*w - 4*k - 10 = 2*w, -3*k = 5*w - h for w. 2 Let w = -4 + 9. Solve w*q = -0*z + 3*z - 3, -q = -4*z + 4 for q. 0 Suppose 3*u = -4*v - 6, -2*u + 5*v + 0*v = -19. Let z be u + 7/(14/4). Solve 15 = -j - 0*j + z*b, -2*b = -j - 9 for j. -3 Suppose 2*z = z + 2. Suppose z*w = 13 + 3. Solve 4*t = -4*r - 8, 5*r - 2*r = -2*t - w for r. -4 Let x(l) = -l**3 - 5*l**2 + 14*l + 8. Let p be x(-7). Solve 3*j = 3*b, -4*b + 2*j + 18 = p for b. 5 Let q = -8 - 7. Let k = -3 - q. Solve -3*z + 9*l + 6 = 4*l, 0 = 4*l + k for z. -3 Suppose 0 = -u - 2*i, 18 = 5*u - 5*i - 12. Solve 9 + 15 = 4*p - u*m, -4*p - 3*m = -3 for p. 3 Let u be (-1)/(-3) - 39/9. Let z = u + 4. Suppose -3*n - 20 - 7 = -5*q, -4*n - 16 = z. Solve q*y + 4*g + 10 = 0, 3 = -2*y + 3*y - 5*g for y. -2 Let t(c) be the first derivative of -5*c**2 - 2*c + 3. Let a be t(-2). Let h = a + -13. Solve -u + h*m + 19 = -3*u, 5*u = 5*m + 40 for u. 3 Let v(w) = w**3 - 6*w**2 + 9*w. Let c be v(4). Solve -5*x + 6 = -o, -c*x = o - 4*o + 4 for x. 2 Let y = -5 - -10. Let r(t) = -t**2 - 8*t - 8. Let m be r(-6). Suppose 5*n = -m*a + y, -5*n + 5 = -a - 0. Solve o + a*z = -z + 1, 0 = -2*z + 8 for o. -3 Let w(r) = -r**2 + 2*r + 7. Let m be w(3). Solve -4*l + 4 = c - 15, -2*l = -m*c - 14 for l. 5 Let n(q) = q**3 + 6*q**2 + 6*q + 8. Let f be n(-5). Solve -f*w + 5*y = 37, -2*w + 3*y = 2*y + 13 for w. -4 Let u(g) = -g - 2. Let d = 44 + -29. Suppose 5*s + d = 6*l - l, 3*s + 5*l + 33 = 0. Let k be u(s). Solve -k*v + 24 = -m, -3*v + 0 + 11 = m for v. 5 Let a(g) = -4*g. Let o be a(1). Let l = 6 + o. Suppose 0*d + l*n + 17 = 3*d, 4*d = 2*n + 20. Solve 3*z = -4*i - 14, -4*i + d*z + 1 - 3 = 0 for i. -2 Suppose -3 + 6 = k. Let s = 2 + 0. Solve 3*h + 18 = k*r, -4*h = 4*r - s*h for r. 2 Let y(p) = p**2 - 6*p + 10. Let w be y(4). Solve -3*n - 11 = w*z, -4*z + 5*n + 0*n + 33 = 0 for z. 2 Suppose 0 = -5*k + 17 + 13. Solve 2*y + 2 = 4*q, 3*q - k*q + 2*y = 0 for q. 2 Suppose 5*w = -5*j - 45, 3*w + 5 = 2*w. Let x be (-1 - j) + 4 + -2. Solve 3*l + x*b = -2*l, 5*l - 5*b + 50 = 0 for l. -5 Let z be (-13 + 10)*10/(-6). Solve 5*n + 2*p + 21 = 0, -n - z*p + 0 + 5 = 0 for n. -5 Let n = -8 + 10. Let l be (31 - (-3)/(-3))/n. Solve -d - l = 5*a - 0*a, -2*a + 17 = 5*d for d. 5 Let o(d) = 3*d - 3. Suppose 6 = s + 2*s. Let x be o(s). Solve -3 = -5*p - 8, 5*p = x*b - 8 for b. 1 Let y(d) = -5*d - 1. Let z be y(2). Let p(r) = -r**2 - 11*r - 3. Let m be p(-9). Let a = z + m. Solve 0 = -w - a*j + 25, -w + j - 3*j = -15 for w. 5 Let i(f) = -f + 9. Let n be i(7). Let r be -1 - 1*(n + -10). Suppose -2*x - 5*c + r = -17, 4*c - 18 = -x. Solve -5*a - 3 = w, -5*a + x*w = 4*w + 1 for a. -1 Let s(c) = 4*c - 7*c + 0 + 2 - 2*c - c**2. Let d be s(-5). Solve -d*j - 3*h + 11 = -1, 5*j = -3*h + 21 for j. 3 Let i(h) = h + 13. Let v be i(-8). Solve v*r - 18 = 5*k + 6*r, 3*k + 8 = -2*r for k. -4 Let u be (-3)/(6/(-16)) - 2. Solve 3*x - 2*d - u = 0, -x - 5*d + d = -2 for x. 2 Let q = 0 - -1. Let k be 2/3*(q + 2). Suppose 3*y - 16 = -2*t, k*y - 16 = -3*t - t. Solve -4*w + 4*g - y = 0, w + 0*g = -2*g - 7 for w. -3 Suppose 0*q = 2*q - 4. Solve 0 = 4*a - 2*m - 4, 3*a - q*m + m = 1 for a. -1 Suppose -18*m = -13*m - 25. Let d = 7 - m. Solve 0 = y + 4*b + 5 + d, -5*y - b = 16 for y. -3 Let t be (-3 + 2 + 1)*1. Suppose q - 3*q = t. Solve q = 5*n + 5*i, n - 2*n = -i - 10 for n. 5 Let i = 12 - 14. Let t(s) = 3*s**2 + s - 2. Let v be t(i). Let g be 1/(1/(-2))*-1. Solve -5*m = -10*m - 20, -3*u + g*m + v = 0 for u. 0 Let k = 5 + -2. Let w(n) = n**2 + 9*n + 8. Let c be w(-8). Let i = k + c. Solve -i*v - 10 = -2*h + h, -h - 2 = v for v. -3 Suppose 0*n + 2*n - 23 = -t, 31 = 4*n - t. Suppose -2*a + 0 + 14 = 0. Suppose -3 = 2*h - a. Solve -4*j = -n*j - 5*i - 50, 5*i + 35 = -h*j for j. -5 Suppose 2*c = 2*b + 22, -c - c - 3*b + 7 = 0. Suppose -w - 2*j = 0, 5*w - 2*j + c = 20. Solve 4*t - w*k = -24, 3*t + 21 = -5*k + 8*k for t. -5 Let s(j) = -j**3 + j**2 + j + 4. Let d be s(0). Solve 0 = d*l - 4*o + 12, -4*l + 0 = 4*o + 12 for l. -3 Let h be 18/14 - 2/7. Let s(q) = 3*q - 9. Let m be s(4). Let u = m - h. Solve j + 5 = 0, -b = -2*b - u*j - 11 for b. -1 Let y(p) = -p**2 + 7*p - 7. Let i be y(5). Let q = i + -1. Solve -4*u - q = 3*w - 4*w, -2*u = -5*w + 10 for u. 0 Suppose -4*k = -9*k + 10. Solve -4*o + 3*x - 7 = 0, -k*o - 2*x = -0*x + 14 for o. -4 Let i be 2/(-8) - 7/(-28). Let l = -9 - -29. Suppose 3*k = 3*r - 0*k - 3, 0 = -4*r + k + 7. Solve 3*w + 18 = -2*o, r*w + l = -4*o - i*o for o. -3 Let s = -18 + 12. Let q = 0 - s. Solve -2*a = a + q, -3*a - 22 = 4*r for r. -4 Suppose 21 = -5*c + 8*c. Solve 0 = -5*u + 15, 2*p + 0*p + 3*u - c = 0 for p. -1 Let z = -22 - -35. Let p = z + -9. Solve -5*c - 5*s + p = -1, -2*s = c - 1 for c. 1 Let v(w) = -w**2 + 13*w + 2. Let r be v(12). Solve -4*l + 3*j = 8*j + 8, 0 = 2*l + 5*j + r for l. 3 Let c(y) = -y**3 - 3*y**2 + 5*y + 6. Let n be c(-4). Solve -q = 4*q + s - 24, n*q = s + 4 for q. 4 Suppose -4*o - 18 = -10*o. Solve t - 9 = -3*x, -2*t + x - 12 = -o*x for t. 0 Suppose 0 = 4*u - 3*u - 3*q, -3*u + 5*q = -12. Let o be ((-10)/4)/((-2)/4). Suppose 2*k - o = 5. Solve -i = k*g, -3*g - 2*i - u = -2*g for g. 1 Let x = 4 + -6. Let b be (x/(-3))/(2/15). Solve 2*a + 0*a - 2*t = 20, 2*a + t = b for a. 5 Suppose -5*i + 10 = -4*w + 38, 5*i - 2*w = -24. Let t = -4 - i. Suppose t = -2*r + 1 + 5. Solve -2*n - 6 = r*x + 7, -4*x + 5*n = -21 for x. -1 Suppose -5*j - 1 = -5*s - 61, -3*j = -5*s - 42. Solve 5*w = 0, -3*a - j = -0*a + 2*w for a. -3 Let k = 79 - 79. Solve f - 5*b = -15, -2*f + k*b = b + 8 for f. -5 Let w(i) = -12*i**3 - i**2 + 1. Let o be w(-1). Let d be 2/(-5) - o/(-5). Solve d*t + 0*a = a - 6, -4*t - 18 = a for t. -4 Let a be 1*(-3 + (0 - -11)). Solve 0 = -4*l - 4*m - 24 - a, -2*l - 7 = -m for l. -5 Let p be 16/12 - 1/3. Solve -5*b - 4*v - 24 = 0, 5*v = b - p - 0 for b. -4 Suppose 1 = -2*s + 13. Solve 4*b = -t - 19, -3*t + 2 = -b - s for b. -5 Suppose 3*i = 5 + 1. Let n(o) = 4*o + 0*o - 2*o - 1 - o**i. Let b be n(1). Solve -3*a - 7*t + 2*t + 27 = b, -7 = 2*a - 5*t for a. 4 Let x = 7 - 12. Let k be (-2)/5 - 12/x. Solve 5 + 19 = 4*f - 3*n, 3*f - 1 = -k*n for f. 3 Suppose 1 = 5*v + w - 27, v - 4*w - 14 = 0. Solve 2*o = g + 7, o - v = g + 2*g for g. -1 Let j(z) = z**2 - 8*z + 3. Let l be j(8). Suppose 10 = i - 3*m, -l*m + 2*m = -5*i + 64. Solve -2*c = -6*c - 5*s - i, 3*c - 4*s - 29 = 0 for c. 3 Suppose 2*b - 17 = 43. Let u(d) = -d**3 + 4*d**2 + 2*d - 5. Let q be u(4). Let z = 11 - 7. Solve -2*g + 2 = -z*m, -q*g - 4*m = m + b for g. -5 Let j be 1*((0 - -1) + 2). Solve -5*s = 4*c - 37, 0 = -s + j*s - 10 for c. 3 Let u be (-5)/(-2)*6/5. Suppose 5*f + 0*o = -3*o + 10, 6 = 3*f + u*o. Suppose f*z - 2*y = 4, z + 3*z - 5*y - 7 = 0. Solve z*m + 2*i - 12 = 5*i, 10 = -5*i for m. 2 Suppose -2*f - 5*h = -6, 2*f - 5*h = -3*h + 20. Suppose 22 = 5*u + 3*n, 4*u + 10 = u + 4*n. Solve 2*v - f = 4*j - 2, -13 = -3*v + u*j for v. 5 Let n be (-104)/(-32) + (-3)/4*-1. Solve -2*q = -o - n*q + 1, 0 = 2*o + q - 8 for o. 5 Let r be (-6)/15 + (-22)/(-5). Solve 4*q + 36 = -4*o, 28 = -0*q - r*q - 2*o for q. -5 Let c = 28 + -24. Solve c*a - 2 = 5*a - 3*b, 0 = -4*a + b + 3 for a. 1 Suppose -4*k = -18 - 42. Let j = -9 + k. Let b = j - 4. Solve y - 3*y = -b*s - 14, -2*s = 3*y - 11 for s. -2 Let h be 4/((24/(-9))/(-2)). Solve 3*d + h = 0, -w + 3*w - 2*d + 6 = 0 for w. -4 Suppose 6*b + 4*d = 3*b + 93, b - 2*d - 31 = 0. Solve a - 4*z - 17 = 0, -5*a = 4*z + b + 4 for a. -3 Suppose -x + 0*x = -2. Let j be 3*((-1 - 0) + x). Solve -3*g - 15 = -3*k, -5*g = 4*k + j - 5 for g. -2 Let z be 5/(-10)*(-1 + 1). Suppose z = -3*g + 16 - 7. Solve -o = -0*o + 4, -l + g*o + 9 = 0 for l. -3 Let l = -3 - -6. Suppose -7*j = -11*j - 4. Let b be j/5 + (-5)/(-25). Solve b = -l*s - 5*q - 7, s + q - 2*q = -5 for s. -
{ "pile_set_name": "DM Mathematics" }
5*w**2 + 14*w - 14*w)*(0 + 0 - 1)*(1 - 4 + 4). -985*w**2 Expand (-y**3 + 0*y + 0*y)*((0 - 5 + 3)*(0 + 2 + 0) - 2 + 0 + 3) + 54*y**3 - 34*y**3 - 9 - 18*y**3. 5*y**3 - 9 Expand -4*x**3 + 3*x**3 + 0*x**3 + ((10*x - 6*x + 9*x)*(1 - 1 - 2*x) + x - x - 2*x**2)*(2*x + x + 0*x). -85*x**3 Expand -3*b**4 + 0*b**4 + 4*b**4 + (-3*b + 3*b - b**3)*(-53 + 53 + 24*b). -23*b**4 Expand (3*f - 6*f - f)*(-3 - 11 - 18). 128*f Expand (3 - 4 + 0)*(1 - l**3 - 1) + 16*l - 12*l**3 - 65*l + 40*l. -11*l**3 - 9*l Expand (v**3 - v**4 - v**3)*(-3*v + 86*v + 65*v) - 2*v**5 - 4*v**5 + 0*v**5. -154*v**5 Expand (-1 + 1 - 1)*(33 - 21 + 19)*(2*j - 19 + 19). -62*j Expand (q**3 + 2*q**3 + 0*q**3)*(q**2 - 3*q**2 + 0*q**2) + 4*q**3 - 2 + 8*q**5 - 1954*q + 1954*q. 2*q**5 + 4*q**3 - 2 Expand (1 + 2 + 2)*(3 + 2*x**2 - 3) + 15*x + x**2 - 15*x. 11*x**2 Expand ((-3*p + 3*p - 2*p)*(p**2 + 3*p - 3*p) + p**3 - p + p + 0*p**2 + 2*p**3 + 0*p**2 - 3*p**3 + p**3 - p**3)*(-12*p**2 + 2*p**2 - 14*p**2)*(2 - 2 + 2). 96*p**5 Expand (-4 + 2 - 2)*((-y - 3 + 3)*(1 + 3 + 0) - 3*y - 2 + 5 - 1). 28*y - 8 Expand (-g + g - g**2)*(0*g**2 + 2*g**2 + 0*g**2) + 4097*g + 2 - 4097*g - 260*g**4. -262*g**4 + 2 Expand (-1 + 56 + 86)*(-t + 2 + 0 + 3*t)*(t - t + t)*(3*t + 2*t - 3*t). 564*t**3 + 564*t**2 Expand (u**2 - u**2 + 3*u**2)*(-1 + 0 - 1)*(-3 + 2 - 1)*(39*u**3 - 109*u + 109*u). 468*u**5 Expand (-2 + 2 + 2*q)*(-3 + 1 + 0) + (1 - 1 + 1)*(q + 1 - 1) - 9*q + 7*q + 7*q + 3*q + 2 - 2. 5*q Expand 4*c**2 + 0*c**2 - 2*c**2 + (-13*c + 17*c - 6*c)*(1 - 2*c - 1). 6*c**2 Expand (1 + 3 + 5)*(-3 + 2*l + 3)*(8*l - 6*l + 7*l). 162*l**2 Expand (2 - 3 - 1)*(0*w - 5*w + 4*w)*(-2*w**2 + 5*w**2 + 0*w**2 + (-5*w**2 + 4*w**2 - w**2)*(4 + 0 - 2)). -2*w**3 Expand b - b**3 - b - b**3 + 3*b**3 - b**3 + 0*b - 2*b**3 + 0*b + (0 + 3 - 2)*(b**2 - 2*b**3 - b**2) + (-4 - b**2 + 4)*(2*b - 4*b + 9*b) + 1 - 1 + 2*b**3. -9*b**3 Expand -515*l**4 + 49*l**4 - 454*l**4 - l**4 - l**4 + 0*l**4 - 2 + 2 - 2*l**4 + (-4*l**3 + 2*l**3 + 3*l**3)*(-2*l + 4*l - l). -923*l**4 Expand (-5*g**2 + g**2 + 2*g**2)*(-2*g**3 - g + g) + (26 - 38*g - 26)*(g**4 - 4*g**4 + 0*g**4) - g**5 - 2*g**5 + g**5. 116*g**5 Expand (32*n**4 - 179*n + 179*n)*(-2 - n + 2 + 2*n + 0*n + n + (-1 + 2*n + 1)*(5 - 4 - 3) - 3*n + 3*n - 2*n - 2*n + 2*n + 2*n). -64*n**5 Expand (0*r + r + r)*(9*r**2 + r**2 + 64 - 32*r**2 + 16*r**2). -12*r**3 + 128*r Expand (-3*u - 1 + 7*u - 3*u)*(20*u - 10*u - 34*u)*(-3 + 5*u + 3)*(-1 + 2 - 4). 360*u**3 - 360*u**2 Expand b**2 + 0*b**2 - 3*b**2 - 2*b**2 + 2*b**2 + 2*b**2 + (-b - 2*b + 4*b)*(2*b - 2*b + b) + (0 + 0 + b)*(3*b - 2*b + 4*b). 6*b**2 Expand (2 + u - 2)*(-2*u**2 + 2*u**2 + u**4) + 252*u - 3*u**5 + 0*u**5 - 290*u. -2*u**5 - 38*u Expand (k**4 + k**4 - 3*k**4)*(-5*k + k + 5*k) + 2*k**4 - 2*k**4 + 2*k**5 + k - k + 2*k**5 + (-5*k**5 + 4*k**5 + 2*k**5)*(7 + 3 + 14). 27*k**5 Expand 4 + 2*m**3 - 4 + 2*m**3 + 4*m - 4*m + 4*m - 2*m**3 - 4*m + (6*m**2 - 3*m**2 - 4*m**2)*(-5 + m + 5) - 2*m**3 + 3*m - 3*m - 162*m**3 - 159*m**3 + 96*m**3. -226*m**3 Expand 5*v + 4*v - 5*v + (2*v - 2 + 2)*(2 + 2 - 3)*(-1 - 1 - 2). -4*v Expand ((-3 + 0 + 1)*(-7 + f + 7) + (2*f - 6*f + 2*f)*(0 + 0 + 1))*(4*f**3 - 4*f**3 + 3*f**3). -12*f**4 Expand (-234 + 10*f + 229 - 2*f)*(-4 - 2 - 1). -56*f + 35 Expand -f + 3*f + 5*f + (0 - 6*f + 0)*(4 - 4 - 4). 31*f Expand 2*d**2 - 2*d + 2*d + 2*d**2 - d**2 - 3*d**2 + (-4*d + 0*d + 5*d)*(-17*d - 32 + 32). -17*d**2 Expand (-1 - 3 + 2)*(2 - 2 + 2*c)*(66*c - 119*c - 160*c). 852*c**2 Expand (-2*j**3 + 0*j**3 + 12*j**3)*(6*j - 2*j - 2*j) - 81*j**3 + 81*j**3 - 17*j**4. 3*j**4 Expand (-2 - 4 + 5)*(2*f + 0*f - 3*f)*(-231 + 78 + 123 + 10*f**2). 10*f**3 - 30*f Expand -7*f**2 - 35*f**2 - 15*f**2 + 0*f**2 + 2*f - f - f**2 + 3*f**2 - 2*f**2 + 0*f**2 + (-f + 0 + 0)*(-4 - f + 4). -56*f**2 + f Expand (2*a - 2*a - 3*a**2)*(a**3 - 14*a**3 - a**3) + 2*a**5 + 6*a**5 - 4*a**5 + (-2 + 2 - a**4)*(3*a + 0*a - 2*a). 45*a**5 Expand (-30*t**2 - 67*t**2 - 27*t**2)*(-4*t**2 + 1 - 5 + 2*t**2) - 2*t**4 + 2*t**4 + t**4. 249*t**4 + 496*t**2 Expand (-1219*b**2 + 1436*b**2 + b - b)*(2*b - 2*b - 2*b). -434*b**3 Expand -22*p**3 - 2*p**3 + 3*p**3 + (0*p**2 + 2*p**2 + 0*p**2)*(-8*p - 27 + 27) - 2*p**3 + 4*p**2 - 4*p**2. -39*p**3 Expand (4*g + 0*g - 2*g)*(-3*g + 1323*g**2 - 1382*g**2 + 4*g). -118*g**3 + 2*g**2 Expand -11*o**4 + 3*o**4 - 13*o**4 + (-o**3 + o**3 - o**3)*(-o + o - 5*o). -16*o**4 Expand (20*v**5 - 6*v**5 - 92*v**4 + 91*v**4 - v)*(-5 + 5 + 1). 14*v**5 - v**4 - v Expand z**5 + z - z + (-1 - 2 + 5)*(-915*z**3 - 15*z**5 + 915*z**3). -29*z**5 Expand -1 - 2*j**3 + 1 + (j**2 - 3*j**2 - j**2)*(2*j - 7*j + 2*j) + 2*j**3 - 3*j**3 + 9*j**3. 15*j**3 Expand (24 - 13 + 35)*(2 - 4 + 0)*(-4*y**3 + 4*y**3 + 2*y**3). -184*y**3 Expand (-8*k - 11*k - k)*(-2*k - 5*k + 4*k)*(13 + 3*k - 13). 180*k**3 Expand (-4 + 4 + j**4)*(0 - 17 - 12) + (3 + 2*j**3 - 3)*(4*j - 5*j + 0*j). -31*j**4 Expand (-6*w - w**3 + 0*w + w)*(4*w + 3 - 3) + (2*w + 5*w - 2*w)*(-w**3 - w**3 + w**3). -9*w**4 - 20*w**2 Expand (-8 - 1 + 2)*(2*v + 36 - 65 + 30). -14*v - 7 Expand (5 - 2 - 2)*(3*r**2 - 2*r**3 - 3*r**2) - 294*r**3 - 2 - 55*r**3 + 75*r**3. -276*r**3 - 2 Expand -4*v**2 + 2*v**2 + 4*v**2 + v**2 - 10*v**2 - 3*v**2 + (9 - 9 - 6*v**2)*(-1 + 3 - 1). -16*v**2 Expand (-y + y - 2*y)*(2*y + 1 - 1) + 2*y**2 - 1 + 1 - 5*y - 7*y**2 + 5*y + (-3*y**2 - 3*y**2 + 3*y**2)*(-2 - 1 - 1). 3*y**2 Expand (4*d + 3 - 3*d - 1)*(-3176 + 3176 - 142*d**2). -142*d**3 - 284*d**2 Expand 8*w**2 - 10*w**2 - 6*w**2 - 11*w**2 + (2*w**2 + 5 - 5)*(0 + 0 + 2) + 3*w**2 - w**2 + w**2. -12*w**2 Expand -12*r**3 - 5*r + 5*r + 6*r**3 - r**3 - 3*r**3 - r**3 + 2*r**2 - 2*r**2 + (-1 + 1 - 2*r**2)*(0 - r + 0). -9*r**3 Expand 0*w**3 - w**4 + 0*w**3 + (3 - 4 - 1)*(-1 - w**4 + 1) - 5 + 5 - 3*w**4 - w**4 + 2*w**4 + 0*w**4 + 4*w**4 + 2*w**4 - 3*w**4 + w + 3*w**4 - w. 5*w**4 Expand (-y - 1 + 1)*(-5 + 2 + 1) + (3 + 2 - 2)*(2 + y - 2) + 911 - 911 - 353*y. -348*y Expand (w**2 + w**2 - w**2)*(0*w**3 + w**3 + w**3)*(0 - 3 + 2)*(-1 + 19 - 2). -32*w**5 Expand 6*w - w - 1 - 3*w**4 + 5*w**4 + (0 - 2 + 0)*(-w**4 + 2*w**4 + 2*w**4) + 18*w**4 - 13*w**4 - 4*w**4 + (2*w + 0*w + 0*w)*(-5*w**3 + 2*w**3 + w**3). -7*w**4 + 5*w - 1 Expand 16*w**2 + 104195 + 749*w**2 - 104195 + (2*w + 2*w - 3*w)*(-4*w + 2*w + w) - 2*w**2 + w**2 + 3*w**2 - w**2 + 3*w**2 - 4*w**2. 764*w**2 Expand 6*k**4 + 27*k**4 - 9*k**4 + (2 - 2 + 6)*(6*k**4 - 4*k**4 + 0*k**4). 36*k**4 Expand 3*j**3 + 8*j**3 + j**3 + (2*j**2 + 1 - 1)*(j + 0*j - 2*j) - 2*j**3 + 4*j**2 - 4*j**2 + 10*j**2 - 2*j**3 - 10*j**2. 6*j**3 Expand (2*n - 3*n + 3*n)*(18*n + 9 - 9) + (4*n - 3*n + n)*(3*n + 3*n - 5*n). 38*n**2 Expand -9*f**2 + 9*f**2 + 32*f**3 - 4*f**3 + 2*f**3 - f**3 - 4*f**3 + 5*f**3 + f**3 + (f - f - 2*f**2)*(-2*f + f + 0*f) - f**3 + 4*f - 4*f - f**2 + f**2 + f**3. 33*f**3 Expand (-3*c**3 + 2*c**4 + 3*c**3 + (0 + 0 - 2*c)*(0*c**3 + 0*c**3 - 2*c**3) + 3*c**3 - 3*c**4 - 3*c**3)*(4*c - 9*c - 2*c). -21*c**5 Expand (-224*l + 36 - 36)*(1 + 1 + 0 - l). 224*l**2 - 448*l Expand (-23*q + 7*q - 3 + 2)*(-2 - 1 - 4). 112*q + 7 Expand (4*d - 3*d - 2*d)*(-5*d + 3*d + 0*d) + 1 - 1 + d**2 + (-3 + 0 + 1)*(-4*d + 7*d + 5*d)*(-15 + 2 + 0)*(4*d - d - 2*d). 211*d**2 Expand (-433 + 433 + 15*x)*((3 + 2 - 4)*(1 + 2*x**2 - 1) - 8 + 5*x**2 + 8) + (3 - 2*x - 3)*(-x**2 + x**2 - 2*x**2). 109*x**3 Expand (0*r**4 + 4*r**4 + 0*r**4)*(-3 + 3*r + 3 + (2 - 1 - 3)*(3*r - 2*r - 3*r) + 4*r + 0*r - 2*r). 36*r**5 Expand -7*n**4 + 0*n**2 + 0*n**2 + (-3*n + 2*n - n)*(-3*n**3 + 3*n**3 - n**3) - 28*n**2 + 28*n**2 - 11*n**4 + 3*n**4 - 5*n**4 + n**4. -17*n**4 Expand (m + 2*m - 7*m + (-7*m + m + 9*m)*(3 + 0 - 1))*(3*m - 3*m - 3*m**3). -6*m**4 Expand (-59*k + 1057 - 1057)*(4*k**2 - k**2 - 2*k**2)*(2*k - 3*k - 2*k). 177*k**4 Expand 2*l + 2 - 2 + (2*l - 1 + 1)*(6 - 3 - 1) + 34461 - 34461 - 53*l - 1 - 2*l + 1. -49*l Expand (-4*n**2 + 4*n**2 + n**2)*(-9 - 20 + 8) - 2*n**2 - 3*n**2 + 14*n**2. -12*n**2 Expand (l**2 - l**2 - 2*l**2)*(-4*l - 6*l + 38*l) - l**3 + 4*l**3 + l**3 - 4*l**3 + 0*l**2 + 0*l**2. -56*l**3 Expand (-411*b - 518*b + 177*b)*(2*b + 4 - 5 - 3*b). 752*b**2 + 752*b Expand (y + 2*y - 2*y)*(-75 + 20 - 109)*(0 - 4 + 2) - 2*y + y + 0*y. 327*y Expand (a - a + 2*a)*(142 + 169 - 1822). -3022*a Expand m**2 - 3*m**2 - 2*m**2 + (-3*m - 4*m - 10*m)*(-m + m + 2*m) + (2*m + 4*m - 4*m)*(-2*m + 2
{ "pile_set_name": "DM Mathematics" }
48 What comes next: -123679, -494718, -1113121, -1978894, -3092043, -4452574? -6060493 What comes next: -120905, -120902, -120899, -120896, -120893, -120890? -120887 What is next in -211, -499, -783, -1063, -1339? -1611 What is the next term in 90033, 180063, 270093, 360123, 450153, 540183? 630213 What is next in -1058539, -2117079, -3175619? -4234159 What is the next term in 2555, 2553, 2547, 2537, 2523, 2505, 2483? 2457 What is the next term in 1553, 3081, 4587, 6077, 7557, 9033, 10511? 11997 What is the next term in -131703, -263421, -395149, -526887? -658635 What is next in 5528, 22082, 49654, 88238, 137828, 198418, 270002, 352574? 446128 What is the next term in -1672, -3353, -5044, -6745, -8456, -10177? -11908 What is the next term in -12357, -12347, -12337? -12327 What is next in 44, 91, 116, 89, -20? -241 What is the next term in -32976, -33247, -33528, -33825, -34144, -34491, -34872, -35293? -35760 What comes next: 80, 305, 530, 755, 980, 1205? 1430 What comes next: -3487, -3504, -3521? -3538 What is the next term in -1523, -323, 877, 2077? 3277 What comes next: -59306, -118604, -177890, -237164, -296426, -355676? -414914 What is the next term in -714, -2829, -6368, -11343, -17766, -25649, -35004, -45843? -58178 What is next in 2810, 5648, 8486? 11324 What is the next term in -31, -30, 9, 104, 273? 534 What comes next: 301, 680, 1061, 1444, 1829, 2216? 2605 What comes next: -141, -283, -443, -645, -913, -1271, -1743? -2353 What is next in 391, 507, 609, 691, 747, 771, 757, 699? 591 What is next in -10580, -10526, -10472, -10418, -10364? -10310 What is the next term in -1035, -2080, -3125, -4170? -5215 What comes next: 173, 1447, 4895, 11603, 22657, 39143? 62147 What is next in -30, 20, 96, 192, 302? 420 What is next in -130863, -130861, -130859, -130857, -130855, -130853? -130851 What is the next term in 461, 312, 163? 14 What is next in -131439, -131427, -131407, -131379? -131343 What is the next term in 78, 125, 270, 561, 1046, 1773, 2790? 4145 What is next in 2447, 2449, 2451, 2453? 2455 What is the next term in 4, -70, -280, -692, -1372? -2386 What is the next term in -144, 754, 2244, 4320, 6976? 10206 What is the next term in 1208, 1291, 1374, 1457, 1540? 1623 What is the next term in -2598, -2371, -2144, -1917, -1690, -1463? -1236 What comes next: -59, -24, 5, 22, 21, -4, -59? -150 What is the next term in 203, 571, 1187, 2057, 3187? 4583 What is the next term in -23301, -46630, -69957, -93282, -116605, -139926? -163245 What is the next term in -161, -165, -169? -173 What is the next term in 2447, 4898, 7349? 9800 What is next in -37689, -150803, -339327, -603261, -942605, -1357359? -1847523 What is next in 198, 1009, 1818, 2625? 3430 What comes next: -31419, -62841, -94263, -125685? -157107 What is next in 23281, 46546, 69811, 93076, 116341, 139606? 162871 What is the next term in 47745, 47746, 47747, 47748, 47749, 47750? 47751 What is next in -27905, -27900, -27885, -27854, -27801, -27720? -27605 What is next in 29642, 29654, 29666, 29678? 29690 What comes next: 4709, 9482, 14255? 19028 What comes next: 7443, 29738, 66897, 118920, 185807? 267558 What is next in -108, 124, 558, 1194? 2032 What comes next: -11, 17, 89, 205, 365? 569 What is next in -42331, -42330, -42331, -42334, -42339, -42346, -42355? -42366 What is the next term in 1442, 3332, 5208, 7064, 8894, 10692, 12452, 14168? 15834 What is next in 10255, 41016, 92287, 164068? 256359 What comes next: -239627, -479254, -718881, -958508? -1198135 What is the next term in 1061, 4647, 10767, 19427, 30633, 44391, 60707, 79587? 101037 What is the next term in 14, 111, 188, 245, 282, 299? 296 What is next in 34068, 34076, 34098, 34140, 34208? 34308 What is the next term in -24, 46, 242, 630, 1276, 2246, 3606? 5422 What is next in -130, -139, -76, 95, 410, 905? 1616 What is the next term in 233, 924, 2073, 3680, 5745? 8268 What is the next term in -378467, -378469, -378471, -378473, -378475, -378477? -378479 What is the next term in -5191, -5170, -5147, -5122, -5095, -5066? -5035 What is the next term in -701702, -1403387, -2105084, -2806799, -3508538, -4210307, -4912112? -5613959 What is next in 2949, 5893, 8847, 11817, 14809, 17829? 20883 What is the next term in 1665, 1473, 1159, 729, 189, -455, -1197? -2031 What is the next term in -701, -957, -1377, -1955, -2685? -3561 What is next in 95, 451, 1331, 2969, 5599? 9455 What comes next: 262964, 525924, 788886, 1051850, 1314816, 1577784? 1840754 What comes next: -107320, -214641, -321966, -429295, -536628? -643965 What is next in 51, 183, 317, 453, 591? 731 What is the next term in -6638753, -13277509, -19916267, -26555027, -33193789? -39832553 What is the next term in -34049, -68093, -102137, -136181? -170225 What is next in -2826, -11337, -25526, -45393? -70938 What is the next term in 456, 872, 1242, 1542, 1748, 1836, 1782? 1562 What is next in -6236, -6191, -6146, -6101, -6056? -6011 What is the next term in -13292, -26581, -39870, -53159, -66448, -79737? -93026 What is the next term in 281, 454, 627? 800 What comes next: 576, 578, 582, 588, 596, 606, 618? 632 What is next in 182699, 182701, 182703, 182705, 182707? 182709 What comes next: 12384, 12411, 12438, 12465, 12492? 12519 What is the next term in -116084, -116085, -116086, -116087, -116088, -116089? -116090 What is next in -3, -35, -105, -237, -455, -783, -1245, -1865? -2667 What is the next term in 27, 164, 481, 1050, 1943, 3232? 4989 What is the next term in 197, 763, 1697, 2993, 4645, 6647, 8993? 11677 What comes next: 10340, 10331, 10316, 10295? 10268 What comes next: -4944, -4890, -4838, -4788, -4740? -4694 What comes next: 63, 116, 171, 228? 287 What is next in -1251, -1680, -2105, -2526, -2943? -3356 What is the next term in -19068, -19067, -19066, -19065? -19064 What comes next: 194, 637, 1328, 2255, 3406? 4769 What is next in 163, 373, 583, 793, 1003? 1213 What is next in -926, -1855, -2800, -3767, -4762? -5791 What is next in -4606, -4600, -4592, -4582, -4570, -4556? -4540 What comes next: 33240, 66470, 99690, 132900, 166100, 199290, 232470? 265640 What is the next term in -656, -803, -1048, -1397, -1856, -2431, -3128, -3953? -4912 What is next in 481, 933, 1385? 1837 What is the next term in -25330, -26731, -28122, -29497, -30850? -32175 What comes next: 2096, 2141, 2206, 2291, 2396? 2521 What is next in 1019, -1377, -5361, -10927, -18069, -26781, -37057? -48891 What comes next: 313, 683, 1053? 1423 What comes next: -19898, -20114, -20344, -20594, -20870, -21178, -21524? -21914 What comes next: 235597, 235596, 235595, 235594? 235593 What is the next term in -763, -636, -459, -226, 69, 432, 869? 1386 What is next in 1374, 2737, 4090, 5433, 6766, 8089? 9402 What is the next term in 739, 2923, 6571, 11683, 18259, 26299, 35803? 46771 What is the next term in -606, -5111, -17342, -41163, -80438? -139031 What is the next term in -548, -508, -460, -404, -340, -268, -188? -100 What comes next: -8277, -8286, -8295, -8304, -8313, -8322? -8331 What comes next: -5407, -5318, -5229, -5140, -5051? -4962 What is the next term in 16905, 33753, 50589, 67407, 84201, 100965, 117693, 134379? 151017 What is next in -698, -821, -974, -1157, -1370? -1613 What comes next: 572, 593, 624, 659, 692, 717, 728? 719 What comes next: 1969, 1949, 1933, 1921, 1913, 1909? 1909 What comes next: 17000, 33997, 50994, 67991, 84988, 101985? 118982 What comes next: -903, -1768, -2595, -3366, -4063, -4668? -5163 What comes next: 147, 142, -29, -378, -917, -1658, -2613? -3794 What is next in 764, 804, 878, 992, 1152, 1364, 1634, 1968? 2372 What is next in 410, 1720, 3904, 6962? 10894 What is next in 96, 139, 156, 135, 64, -69, -276? -569 What is next in 5532, 11053, 16574, 22095, 27616, 33137? 38658 What is next in -5496, -10881, -16264, -21645, -27024, -32401? -37776 What is the next term in -7875, -15744, -23613, -31482? -39351 What is the next term in 86, 630, 2116, 5012, 9786, 16906, 26840? 40056 What is next in -391, -391, -393, -397, -403? -411 What is next in 1245, 2524, 3793, 5046, 6277, 7480, 8649, 9778? 10861 What is the next term in 306, 302, 298, 294? 290 What comes next: -10435, -10434, -10433, -10432, -10431, -10430? -10429 What comes next: -26906, -26913, -26924, -26939, -26958?
{ "pile_set_name": "DM Mathematics" }
q) - 3*s(q). -7826*q Let r(g) = 2*g + 3. Let j(u) = 5849*u + 9. Give -j(k) + 3*r(k). -5843*k Let s(k) be the third derivative of 5*k**4/24 - k**3 + 12789*k**2. Let r(p) = 10*p - 13. What is 3*r(m) - 7*s(m)? -5*m + 3 Let f(g) = -2*g + 2. Let d(l) be the third derivative of -l**4/8 + l**3/2 - 22*l**2 - 5. Calculate 5*d(v) - 8*f(v). v - 1 Let j(v) = 77*v**3 + 4*v**2 - 18*v - 8. Let m(h) = 79*h**3 + 5*h**2 - 17*h - 10. Give 5*j(o) - 4*m(o). 69*o**3 - 22*o Let r(f) be the second derivative of -f**5/10 + 5*f**3/3 + 21*f**2 + 21*f + 59. Let x(n) = -n. What is -r(h) - 10*x(h)? 2*h**3 - 42 Let c(a) be the third derivative of 7*a**4/24 + a**3/2 + 10*a**2. Let k(y) = 0*y + 57 - 121 + 2*y + y + 65. Give 6*c(s) - 15*k(s). -3*s + 3 Let d(j) = 147*j - 2 + 9 - 141*j + 8*j**2. Suppose -114*x = -118*x + 8. Let l(i) = -3*i**2 + i - 4*i**x + 8*i**2 + 1. Calculate d(w) - 6*l(w). 2*w**2 + 1 Let u(c) = c**2 - c - 3. Let i(q) = 4*q**2 + 64*q. Give i(g) + u(g). 5*g**2 + 63*g - 3 Let f(w) = 5*w + 1. Let x(y) = 169 - 26 - 5*y - 17 - 130 - 11*y. Suppose 3*s = 2*d + 2*d - 40, 3*s + 26 = 2*d. What is d*f(h) + 2*x(h)? 3*h - 1 Let k(n) be the first derivative of -n**4/2 - 3*n**3 - 2*n**2 + 7*n + 105. Let o(h) = 5*h**3 + 26*h**2 + 11*h - 20. Calculate 11*k(b) + 4*o(b). -2*b**3 + 5*b**2 - 3 Let g(x) = -36775*x**2 + 55*x - 220. Let p(h) = -1362*h**2 + 2*h - 8. Determine -4*g(n) + 110*p(n). -2720*n**2 Let y(c) = 5*c - 2. Suppose -71 + 23 = -4*t + 4*x, 4*x - 40 = -4*t. Let n(a) = -2*a + 1. What is t*n(m) + 6*y(m)? 8*m - 1 Let j(n) = 3*n**2 - 84305 + 84284 - 4*n**2. Let x(p) = -3*p**2 - 43. Calculate -7*j(b) + 3*x(b). -2*b**2 + 18 Let z(s) be the second derivative of -s**4/6 + 2*s**2 - 1069*s. Let g(c) = c**2 - c + 1. Calculate -3*g(n) + z(n). -5*n**2 + 3*n + 1 Let z(i) = 57*i**3 - 382*i + 9. Let j(h) = 6*h**3 + 2*h + 1. Calculate -18*j(d) + 2*z(d). 6*d**3 - 800*d Let j(p) = 9. Let w(q) = -20946*q + 20946*q - q**2 - q**3. What is j(h) - 2*w(h)? 2*h**3 + 2*h**2 + 9 Let d(l) = -l**2 - 4*l - 1. Let m(v) = -3*v**2 - v + 4. Let q(z) = 12*z**2 - 2*z - 22. Let f(k) = -5*m(k) - q(k). Determine -7*d(h) - 4*f(h). -5*h**2 - 1 Let v(t) = -13*t**3 + 7*t + 7. Suppose 0 = -2*i - l + 6, -2*i + 26 = l - 5*l. Let z(k) = 0*k - i*k + 4*k**3 + 5*k - 2 - 2*k + 0. What is -2*v(y) - 7*z(y)? -2*y**3 Let k(d) = -d**3 - 5*d**2. Suppose -13*u = 6*u - 57. Let c = 89 + -80. Let r(q) = 1517*q - 1517*q - c*q**2 - 2*q**u. What is 5*k(n) - 3*r(n)? n**3 + 2*n**2 Let v(g) = 9*g - 13. Let b(u) = -4*u + 6. Let o = -2591 + 2589. What is o*v(i) - 5*b(i)? 2*i - 4 Let r(o) = -8177*o + 1. Let j(t) = -2049*t. Give -9*j(f) + 2*r(f). 2087*f + 2 Let r(a) be the first derivative of 3*a**2 + 35*a - 1. Let l(b) = 2*b + 12. Suppose -208*i = -16 - 608. Determine i*r(j) - 8*l(j). 2*j + 9 Let k(h) = -25*h - 847. Let i(u) = 7*u + 282. Calculate 7*i(w) + 2*k(w). -w + 280 Let f(h) = -341*h**2. Let i(g) = -11*g**2. Let w be (6318/(-36))/((-3)/(-12)*-1). Let m = -515 + w. Give m*i(o) - 6*f(o). -11*o**2 Let a(b) = 11*b**3 - 4*b - 63. Let w(k) = -2*k**3 - k - 3. Determine -a(i) + w(i). -13*i**3 + 3*i + 60 Let c(u) = 13*u + 159. Let q(f) = -f**2 - 5*f - 53. Give 3*c(w) + 8*q(w). -8*w**2 - w + 53 Let w(o) = 6*o**2 - 318*o - 9. Let r(k) = k**2 + k - 8. Calculate r(n) - w(n). -5*n**2 + 319*n + 1 Let f = 18 - 13. Let b(g) = 9*g**3 - 11*g**2 - 5*g - 7. Let h(a) = -12920*a**2 - 14*a**3 + 12937*a**2 + 8*a + 10 + 1. Give f*h(q) + 8*b(q). 2*q**3 - 3*q**2 - 1 Let n(l) = 25*l + 5. Let q(f) = 16*f + 707. Let u be q(-44). Let m(s) = -25*s - 4. What is u*m(o) + 2*n(o)? -25*o - 2 Suppose 1 = -4*k - 19. Let j(y) = 4*y - 3. Let x(r) = r**2 - 1190*r - 7180. Let o be x(-6). Let u(g) = -4*g + 3. What is k*j(n) + o*u(n)? -4*n + 3 Let r(x) = 8 - 6*x**2 - 5*x**2 + 17*x**3 + 5 + x + x. Let w(i) = 8*i**3 - 5*i**2 + i + 6. Suppose 0 = 2*v - 3*b + 157 - 172, 0 = -b - 1. Give v*r(d) - 13*w(d). -2*d**3 - d**2 - d Let u(n) = -12*n**3 - 5*n**2 - 5*n. Let k(i) = -11*i**3 - 4*i**2 - 4*i. Let a(g) = -332*g - 2652. Let f be a(-8). Give f*u(c) - 5*k(c). 7*c**3 Let j = -86 - -104. Let i be (-6)/2*2/j*-21. Let g(q) = 13*q**3 - 7*q**2 + 7*q - 8. Let h(z) = 9*z**3 - 5*z**2 + 5*z - 5. Give i*h(m) - 5*g(m). -2*m**3 + 5 Let k = -9 - -6. Let n(s) be the third derivative of 3*s**5/20 + s**4/24 - s**3/2 + 4211*s**2. Let a(m) = 9*m**2 + m - 4. Calculate k*a(p) + 4*n(p). 9*p**2 + p Let p(c) = c**2 + c - 1. Let q(x) = x**3 + x**2 + 6*x - 1. Let o be (4 - 1)/(-6) + 1/2. Suppose 15*m + 4*m + 19 = o. Give m*p(i) + q(i). i**3 + 5*i Let h(d) = -52*d + 1. Let z be 1*(-36 + 33 + (1 - -1)). Let u(s) = -1. Give z*u(k) - h(k). 52*k Let r(g) = -44*g**2 + 1158*g + 20. Let d(k) = -31*k**2 + 773*k + 14. Determine 7*d(q) - 5*r(q). 3*q**2 - 379*q - 2 Let t(f) = 1. Let w(q) be the third derivative of q**5/30 - q**4/12 + q**3/3 - 78*q**2. Let j = 4 - 1. Let i = 4 - j. Give i*t(b) + w(b). 2*b**2 - 2*b + 3 Let m(u) = 172*u + 1120. Let t(v) = 137*v + 897. What is -11*m(l) + 14*t(l)? 26*l + 238 Let q(l) = -9*l + 5. Let t be (-4)/(-6) - (-58)/(-87). Let b(i) = i**3 - 4*i**2 - i - 5. Let d be b(t). Let v(s) = 6*s - 3. Determine d*q(z) - 8*v(z). -3*z - 1 Let z(o) = 2*o**2 - 8*o + 47. Let d(a) = -a + 16. Give -3*d(y) + z(y). 2*y**2 - 5*y - 1 Let p(g) = -2*g**2 + 3*g + 3. Suppose 14*h + 29100 = 29156. Let b(f) = -3*f. Let r be b(-1). Let x(c) = -2 - 4 + 2 + 3*c**2 - r*c. Calculate h*p(t) + 3*x(t). t**2 + 3*t Let t(c) = -103490*c**3 - 1048*c**2 + 1048. Let q(i) = -494*i**3 - 5*i**2 + 5. What is -1048*q(k) + 5*t(k)? 262*k**3 Let a(h) = 14*h + 13. Let q(l) be the third derivative of 5*l**4/24 + 2*l**3/3 + 4*l**2 + 32*l. Determine 3*a(z) - 8*q(z). 2*z + 7 Let f(m) = 1. Let v(w) = -2*w**2 - w - 1. Let l(u) = 2 + 9 - 3 + 4*u + 3 + 5*u**2 - 3. Let c(z) = -l(z) - 4*v(z). Let a = 9 - 13. Determine a*f(d) - c(d). -3*d**2 Let j(q) = -5*q**2 + 107*q + 67. Let m be j(22). Let w(l) = 3*l**2 + 0*l**2 + 4 + 3*l**2. Let b(d) = d**2 + 16 - 6 - 4 - 5. What is m*w(k) - 4*b(k)? 2*k**2 Let v(l) = -102371*l - 9018. Let z(o) = 227*o + 20. What is 10*v(i) + 4509*z(i)? -167*i Let p(a) = -10*a - 6. Suppose 0 = 1627*c - 1634*c + 42. Let d be (319/(-33))/((-1)/3). Let y(k) = 2*k - d - 11*k + 24. Give c*p(l) - 7*y(l). 3*l - 1 Let n(q) = -q**2 - 12. Let d(c) = 3*c**2 + 25. Let u = -25397 - -25388. What is u*n(p) - 4*d(p)? -3*p**2 + 8 Let v(h) = 2*h**2 - 12*h + 12. Let i(l) = -21*l + 26*l - 10*l + 3*l**2 + 5 - 2*l**2. Give -12*i(w) + 5*v(w). -2*w**2 Let n(j) = 11*j - 41. Let m(q) = 4*q - 19. Determine 9*m(z) - 4*n(z). -8*z - 7 Let g(n) = 882662*n + 528. Let r(j) = -33308*j - 20. Give 5*g(c) + 132*r(c). 16654*c Suppose -2*t - 93 - 43 = -4*y, -2*t + 39 = y. Let w(v) = -63*v**2 + 35*v. Let q be 2/(-2) + 17/((-34)/(-10)). Let g(n) = 7*n**2 - 4*n. What is q*w(i) + y*g(i)? -7*i**2 Let z(c) = 20*c**2 - 16*c. Suppose 0 = 22*g - 41 - 663. Suppose 0*m = 2*k - 2*m + 4, 4*m = -4*k + g. Let n(d) = 4*d**2 - 3*d. What is k*z(b) - 16*n(b)? -4*b**2 Let i(h) = h**3 - 9*h**2 - 2*h + 9595. Let w(r) = -5*r**3 + 42*r**2 + 9*r - 47973. Determine -14*i(d) - 3*w(d). d**3 + d + 9589 Let o(x) = -17*x + 2. Let g(z) = -z - 3. Give g(a) - o(a). 16*a - 5 Let c(a) = 2*a + 6. Let s be 0 + 35 - (28 - 33). Suppose -79*g + s = -87*g. Let j(p) = -2*p - 7. Calculate g*j(r) - 6*c(r). -2*r - 1 Let d(p) = -4*p**2 + 7. Let g = 5873 - 5884. Let n(j) = 17*j - j**2 + 2*j**2 + 7 - 6*j. Let y be n(g). Let a(v) = -2*v**2 + 3. Determine y*a(x) - 3*d(x). -2*x**2 Let w(h) = -2*h - 627. Let f(n) = -3*n - 1262. What is 3*f(z) - 5*w(z)? z - 651 Let v(b) = 19*b**2 - 29*b - 2. Let s(i) = -74*i**2 + 126*i + 7. Calculate 6*s(w) + 26*v(w). 50*w**2 + 2*w - 10 Suppose 0 = 3*j, -5*o + 14*o + 4*j = 81. Let p(b) = 20*b**2 + 5. Let g(h) = -39*h**2 - 9. Give o*p(a) + 5*g(a). -15*a**2 Let b(p) = -4*p - 3. Let d(z) = 15*z + 11. Let x(g) = 22*b(g) + 6*d(g). Suppose 0 = -5*r - 1362 + 1382. Let h(s) = 2*s. Calculate r*x(n) - 3*h(n). 2*n Let s(k) = -1. Let x(d) = -1. Let g(n) = s(n) - 2*x(n). Suppose 2*t = -5*q - 28, -28*t + q + 1 = -33*t. Let p(w) = 2*w - 4. Determine t*p(v) + g(v). 2*v - 3 Let h(m) be the first derivative of 9*m**2/2 - 8*m + 217. Let v(w) = 17*w - 15. Determine 11*h(y) - 6*v(y). -3*y + 2 Let s(g) = 40*g - 286. Let f(i) = 56*i - 381. Give 8*f(q) - 11*s(q). 8*q + 98 Let x(i) = -2*i + 20. Let z(q)
{ "pile_set_name": "DM Mathematics" }
Let t be (-4)/10*(-10)/4. Let a be (-1 - 1 - -5) + 9/t. Solve 6*k - 2*k = a for k. 3 Suppose -b + 2 = 6, 2*w - 2*b - 18 = 0. Solve w*g = 3*g + 7*g for g. 0 Let w(x) = -x**2 + 17*x - 18. Let d be w(15). Suppose -4*q = 4*a + d, a - 23 = -4*q + 4*a. Solve 6*n = 4*n + q for n. 1 Suppose -x + 132 = 10*x. Solve -x*o + 17*o + 15 = 0 for o. -3 Let f(r) = -r**3 + 39*r**2 - 36*r - 73. Let k be f(38). Solve 2 = -k*o + 17 for o. 5 Let v(c) = -2*c + 32. Let o be v(14). Suppose o*l + 17 = d + 3*l, -l - 41 = -3*d. Let j be (d*-1)/(-12 - -10). Solve -2*f = -4*f - j for f. -3 Let b be 2/(4/22) - -1. Let m = -7 + b. Suppose -m*y + 8 + 2 = 0. Solve p + y = 2*p for p. 2 Suppose 3*m - f = 54, 2*m + 23 - 72 = 5*f. Solve -m + 45 = -7*r for r. -4 Suppose 6*j - 9*j + 21 = 2*q, 3*q + 5*j - 32 = 0. Solve q*w - 12 = 13*w for w. -3 Let u(g) = g**3 + 13*g**2 + 16*g + 8. Let l be u(-12). Let f = -22 - l. Let z = 52 - 50. Solve f = 4*t + z for t. 4 Let c(j) = j + 6. Let g be c(-6). Suppose g = -40*a + 42*a - 6. Solve -8 = -a*z - z for z. 2 Suppose 792 = -4*v + 7*v. Let k be 3/5 + v/110. Solve -2*t + k = t for t. 1 Suppose 65 = -2*i + 69. Solve -12*n = i*n + 56 for n. -4 Let w = 127 + -112. Let h = 15 + -10. Suppose -4*q = -2*r - 0 - 6, h*r - 5 = 0. Solve -y - w = q*y for y. -5 Let d = -746 + 750. Solve 2 = z + d for z. -2 Let k(s) = -s**2 + 5*s + 8. Let z be k(6). Suppose t - 3 = -3*o + 3, 0 = -t + z*o - 4. Solve -4 = -t*w - 2*w for w. 2 Let y = 11 - 2. Let n = -210 + 214. Solve u - n*u = -y for u. 3 Let n(q) = -15*q**3 - 7*q**2 - 29*q + 5. Let t(x) = 7*x**3 + 4*x**2 + 14*x - 3. Let s(c) = 6*n(c) + 13*t(c). Let f be s(-9). Solve d - 10 + 5 = f for d. 5 Let k = 384 + -381. Solve -4*r = -19 + k for r. 4 Suppose -5*y = -3*d + 17, -5*d + 4*y = 5*y + 9. Let f be -5 - -4 - d - 0. Suppose f = s - 3 - 0. Solve 3*x - s = -0*x for x. 1 Suppose -2*o - 20 = -2*z, 13 = z - 0*z - 4*o. Let c be 160/(-15)*z/(-6). Solve 0 = -0*p - 4*p + c for p. 4 Suppose 3*d + 2 - 11 = 0. Let s be (-4)/((-28)/(-12) - d). Let j = 5 - -1. Solve -4*a = -j - s for a. 3 Suppose -3*l - 2*z = 13 - 20, l = -2*z + 5. Solve 4*i - l = -1 for i. 0 Let d = 1966 + -1902. Solve -61*t + d*t + 9 = 0 for t. -3 Let r(z) = -z**2 + 6*z + 21. Suppose 2*h - 4 = 12. Let k be r(h). Suppose -1 = d - 5. Solve k*n = d + 16 for n. 4 Let l be (1/4)/((-58)/(-2320)). Solve -31*k + 33*k = l for k. 5 Suppose 4*w - 93 + 33 = 0. Suppose 4*y + w = -1. Let m be 15/6 + 2/y. Solve 7*n - m*n + 20 = 0 for n. -4 Let z(b) = -b**3 - 10*b**2 + 29*b + 60. Let a be z(-12). Solve -5*w + 25 = -a*w for w. 5 Suppose 64 = 4*j - 2*v, 5*v - 9 = -j + 2*v. Suppose j*f - 16*f = -25. Suppose 2 = g - 0*g. Solve -g*k = -7*k - f for k. -5 Let i(s) = s**3 - 2*s**2 - 2*s + 8. Let t be i(2). Suppose -3*w + 4*y + y = 5, -w = t*y - 21. Solve -w + 3 = 2*d for d. -1 Let a be 2*((5/(-10))/1 - -1). Suppose -12 = 3*o - 42. Solve 3*n - o = -a for n. 3 Let f be (-2 - -1)*(3 + -12). Let y(k) be the third derivative of k**4/24 + k**3/6 - k**2. Let q be y(0). Solve -4*z - q + f = 0 for z. 2 Suppose -8 = -4*t + 4, 2*t = 4*h - 30. Solve h - 18 = 3*z for z. -3 Let i be (-2)/(1*3/57). Let t be ((-264)/(-42) - 6) + i/(-14). Suppose 4*o + 44 = 5*v, -5*o + 36 - 1 = 5*v. Solve t*j - j = v for j. 4 Suppose -2*o + 3*k = -26, -4*k + 54 = -3*o + 5*o. Let l be 3/(-4)*(o - 23). Solve -4 = w - l for w. -1 Let p = 34 - -5. Solve -8*y + 21*y = p for y. 3 Suppose 5 = -6*o + 8*o + 5*a, -2*o + 25 = a. Solve i + o = 6*i for i. 3 Let r be 7/((4 - 3) + 0). Solve -r*b + 10 = -5*b for b. 5 Let o(a) = a - 8. Let s be o(6). Let r be 18/4 - s/4. Let v(t) = 15*t + 198. Let g be v(-13). Solve 2 + g = -r*c for c. -1 Suppose 2*d - 4*d = 5*j - 18, -3*d + 17 = 5*j. Solve 16 + 0 = -j*n for n. -4 Let v be -2 + 6 - 4/2. Suppose 3*z - z = 2*s + 12, -2*s = v. Let k be -3 + (7 - (3 + -1)). Solve -z*h = -4*h + k for h. -2 Let q(z) = z + 1. Let h be q(-6). Let c be (20/h)/(-1*2). Let f be c/(-5) - (-14)/10. Solve f = -v + 5 for v. 4 Let i(p) = -2*p - 23. Let k be i(-14). Let x be (6/k)/((-36)/(-120)). Solve 6*g = 2*g + x for g. 1 Let z(p) = -7*p - 42. Let r be z(-6). Solve -2*w + 8*w - 6 = r for w. 1 Let j be (125/(-50))/((-1)/2). Solve -5*s = -6*s - j for s. -5 Suppose -3*p + 18 = -18. Let c = p + -7. Let k = c - 3. Solve 0 = 3*l - k*l for l. 0 Suppose 4*z - 581 = 115. Suppose a = -5*a + z. Solve 5*o - a + 9 = 0 for o. 4 Suppose -2*k = 4*o + 6 - 32, 2*k = 4*o - 6. Let t(h) = h + 2. Let c be t(5). Let s = c - -8. Solve -s = v + o*v for v. -3 Let h(r) = r**3 - 4*r**2 + 4*r + 1. Let o be h(3). Let s be o/6 - (-82)/(-6). Let k = 15 + s. Solve -k*v + 10 = -4*v for v. -5 Let a(n) = -3*n**2 - 7*n + 11. Let i be a(-4). Let o(s) = -s**2 - 9*s. Let p be o(i). Solve p = c - 3 + 8 for c. -5 Let o be 0 - (-78)/21 - 4/(-14). Solve -14*b = -38 - o for b. 3 Let l = 10 - -6. Suppose 4*m = 12*m - l. Solve -m*c = -6*c for c. 0 Let q(o) = -o + 7. Let v = 26 + -31. Let a be q(v). Solve 0 = -3*s - s - a for s. -3 Suppose -3*k = -5*j - 15, -j = -4*k - 2*j + 20. Solve 4*p = 9*p + k for p. -1 Suppose 4*z - 25 + 9 = 0. Suppose l + s = 6*s + 15, -5*l = -z*s - 12. Solve 0 = -w - l - 1 for w. -1 Suppose l = 4*l. Suppose -4 = -l*h - h. Let x be -12*(-2)/4 - 4/2. Solve h*t - x = 4 for t. 2 Let h(d) = -d**2 + 8*d + 24. Let g be h(10). Suppose -g*y + 9 = -y. Solve -2*v = v - y for v. 1 Let r(f) = f**3 + 7*f**2 + 7*f. Suppose y + 3*x = 7, -4*x - 11 + 2 = 5*y. Let a be r(y). Solve -2*d = d + a for d. -5 Suppose -y = -r - 8, 2*y - 10 = 3*r + 1. Let o = y + -13. Solve 0 = 3*w - o - 6 for w. 2 Let v(i) = i**3 + 9 - 3*i**2 + 10*i**2 + 8*i + 0*i**2. Let c be v(-4). Solve 4*l - c = -l for l. 5 Let h be (-82)/(-4) + (-3)/(-2). Let d = 26 - h. Solve -c - c = -d for c. 2 Let x be (((-35)/14)/5)/((-1)/2). Solve 4*s - x - 15 = 0 for s. 4 Suppose 3*f = 4*l - 109, f + 28 = -38*l + 39*l. Solve 4 - l = -7*x for x. 3 Let j(r) be the first derivative of 2*r**3/3 + 2*r**2 + 3*r + 2. Let m be j(-2). Suppose 0 = 10*a - 6*a. Solve i + m = -a for i. -3 Let m(n) = -198*n - 2*n**2 + 167*n + 19*n**2 - n**3 + 17. Let z be m(15). Solve q - 1 = z*q for q. -1 Suppose 3*v - 107 = 340. Suppose -5*m + 3*f + f = -v, -5*m + 169 = f. Solve 5*h = -8 + m for h. 5 Let p(j) = -j**2 - 14*j - 7. Suppose -2*x = 2*a + 30, 5*x = -3*a + a - 36. Let w be p(a). Solve 3*f = w - 0 for f. 2 Let k be (-1)/24*2 + (-8326)/(-552). Solve k = -14*l + 19*l for l. 3 Let x be 1 + (5 - 4 - -1). Let j(s) = s - 3. Let l be j(x). Solve l*v = 3*v - 15 for v. 5 Let a(y) = -y**3 - 43*y**2 + 91*y + 50. Let c be a(-45). Let d(v) = v**3 + v**2 - 1. Let z be d(2). Let m = z + -6. Solve m*p - 10 = c for p. 3 Suppose 3*k + 4*l = 4*k - 2, 2*l - 34 = -3*k. Solve s = -4*s - k for s. -2 Suppose 9 = 4*c - c - 3*v, -2*c - 9 = -5*v. Solve c*k - 5 = 3*k for k. 1 Let m(n) = -3*n - 13. Let d be m(-6). Let i(y) = -y**2 + 3*y - 6. Let p be i(d). Let v be (p/6)/((-12)/18). Solve 2*w = v*w - 4 for w. 2 Suppose 4*y = 3*y. Let g = y - -9. Solve 0 = -m - 4 + g for m. 5 Let v(x) = x**2 + 19*x + 21. Suppose 5*i + 31 + 61 = -4*r, 0 = -4*r - 4*i - 88. Let u be v(r). Solve t - 8 = u*t for t. -4 Suppose 2*n - 2 = 2*k, 13*n + 3*k - 21 = 8*n. Solve -6*x = -21 - n for x. 4 Suppose c = -14 - 5. Let x = c - -16. Let t be 3/(x/(-4))*1. Solve 0*r = 2*r - t for r. 2 Let j = -887 + 889. Solve j = 5*n - 3*n for n. 1 Suppose -2*v + 4*f + 24 = -f, -14 = -5*v + f. Suppose 0 = q - q + 6*q. Suppose 5*b - c = -0*c, q = -b + 4*c. Solve -3*z + v + 1 = b for z. 1 Let r be 30/45*78/4. Suppose 0*d = -4*d - 2*t + 14, 2*d + 3*t = r. Solve 7 = d*f + 1 for f. 3 Suppose 10*j - 6 - 14 = 0. Solve 0*f + j = -f for f. -2 Let d(y) = -y**2 + 6*y - 3. Let s be d(4). Let v = 7 - s. Let r = -13 + 18. Solve -v*w - r = -3 for w. -1 Let f(i) = i**3 - 3*i**2 - 6*i - 8. Let r be f(5). Let b be -1*(-5 - 0/(-2)). Let x = r - b. Solve 3*o = -x + 1 for o. -2 Suppose 3*l = -4*p + 46, 2*l + l - p = 71. Suppose 4*u - 3*u - l = -4*g, -4*u = -4*g + 12. Solve u*x + x = -6 for x. -2 Let a(t) = -3*t**2 - 125*t + 42. Let v be a(-42). Solve 0 = -v*k - k - 3 for k. -3 Let o(c) = c**3 - 6*c**2 + 6*c - 5. Let n be o(6). Suppose -19 = -5*w + 2*d, 5*w - 6*d - n = -8*d. Solve w = a + 7 for a. -2 Let i(d) = 4*d**3 + 3 - 2*d + 3 - 5 - 2*d**3. Let r be i(2). Suppose 5*c = -3*h + 2*h + r, 4*c = -4*h + 4. Sol
{ "pile_set_name": "DM Mathematics" }
have the same value? False Let w = -20 + 21. Is -1/3 greater than w? False Let l be (4/6)/(190/(-171)). Let u = 10 - 6. Let a = u + -4. Is a smaller than l? False Let t = 0.63 - -0.37. Let g = 2 + -2. Let p be (0 + g - -2)*-1. Are p and t equal? False Let o = 8 - 6. Let d(g) be the first derivative of g**4/4 - 8*g**3/3 - 5*g**2 + 11*g - 3. Let p be d(9). Is o not equal to p? False Let t(u) = -u**3 + 5*u**2 - 4*u - 2. Let y be t(4). Which is smaller: y or -3? -3 Let h(z) = z**2 - z - 2. Let a be h(2). Let m = -2/47 - 182/141. Which is greater: a or m? a Let o = -19 - -37/2. Suppose 3*y = -y + 4*t + 4, 0 = -4*y + 5*t. Suppose y + 1 = -3*b. Which is smaller: o or b? b Let r(d) = d + 1. Let h be r(0). Suppose -134 = -3*i + w, -4*i - w + 177 = -4*w. Let q be (-4)/(-18) + 35/i. Is h greater than or equal to q? True Let k(j) = j**3 + 7*j**2 + 5*j - 5. Let v be (-9)/((-1)/(4/(-6))). Let z be k(v). Let c be 0 + 1 + 1 + -1. Are z and c unequal? False Suppose -i + 3*m - 31 = -3*i, -3*i + 14 = -2*m. Suppose -4*z + 0*z + i = 0. Suppose z*x - 4 = -2*x. Which is greater: x or -3/7? x Suppose -d + 2*x - 13 = 4*d, 21 = -d + 5*x. Is d at most as big as 2/21? True Let v(o) = -10*o - 59. Let h be v(-12). Is 0 equal to h? False Let a = 28 + -28.03. Is -1/2 at least a? False Let w be 4/20 + (-4)/(-80). Is w not equal to 10/11? True Let j be 3/1 + -3 - -2. Suppose 6 = j*a - 4. Which is smaller: a or 4? 4 Let w be -19*(4 - 10/2). Are 20 and w equal? False Let t be -41 - (4 + -1 + -6). Is t bigger than -38? False Suppose 3*p - 7*p - 135 = 5*b, -5*b - p = 150. Are b and -29 nonequal? True Suppose -7*o - 12 = 58. Which is greater: -8 or o? -8 Suppose 3*j = 4*q + 12 + 2, 0 = 4*j + q - 25. Let n be -2 + 1/(j/9). Is n < -2? False Let q(b) = -b**3 - 7*b**2 - 7*b - 7. Let y be q(-6). Let g be 3 + (29/10)/y. Which is bigger: -1 or g? g Let l = 19445 - 96217/5. Let b = l - 201. Is 2 != b? True Let b be 105/28*(0 + 2/5). Is b less than or equal to 0.2? False Suppose -5*b - 5*w = -15, -3*b - 2*b + 3*w = 9. Suppose -s - 6 = -5. Are s and b non-equal? True Suppose 5*a - a = 0. Suppose r + 2 = -0. Is a less than r? False Suppose 0*s = s - 5. Let i = -11 - -15. Suppose -3*b - 18 = i*m, -s*m = -0*m - 2*b + 11. Is m at least as big as -3? True Let p be (3/194)/((-5)/(-20)). Let w = p + 655/388. Which is bigger: 1 or w? w Let z be (2 + -2)*(2 - 3). Let s(y) = y**2 - 5*y. Let c be s(5). Is z >= c? True Let t be 29/(-6) - (-1)/(-6). Let o(x) = x + 21. Let r be o(t). Is 16 at most as big as r? True Let v = 233/680 - 9/40. Which is greater: 1 or v? 1 Let h = 25 + -30. Is -5 greater than or equal to h? True Let j be (-32)/20*20/8. Are j and -2/5 nonequal? True Let g be (-30)/(-25) - 1/5. Suppose 0 = -p - 3*q - 5 - g, 2*p + 17 = -q. Is p != -8? True Let k be 15/9 + (-4)/6. Is k less than 2? True Let v be ((-3)/21)/((-2)/6). Let l(g) be the third derivative of g**6/120 - g**5/10 - g**4/3 + 4*g**3/3 - 3*g**2. Let a be l(7). Is v < a? True Suppose 3*h + 52 = -h. Let w be 6/(-2) + 7 - 22. Let x = w - h. Is -5 at least x? True Suppose 7*q = 26*q + 38. Which is greater: q or -20? q Suppose 5*m = -14 + 4. Let u = 0 - 1. Does m = u? False Let u = 319/42 - 49/6. Let h(r) = -r**3 + 5*r**2 - 2*r - 8. Let a be h(4). Which is bigger: a or u? a Let q be 0*(-3)/((-9)/(-3)). Suppose a - 2*z - 7 = q, -3*z - 13 = -a + z. Suppose -b + a = 3. Which is bigger: 2/7 or b? 2/7 Suppose 11 + 16 = -3*r. Which is greater: -25/3 or r? -25/3 Let i = 10 - 8. Let x(w) = -2*w - 6. Let r be x(-4). Suppose -k + r = k. Is i != k? True Let y(a) = -a**2 - a + 1. Let j be y(1). Which is smaller: j or -4/3? -4/3 Let p(x) = -27*x**2 - x - 1. Let g be p(-1). Let d be ((-6)/4)/(g/561). Let o = d - 31. Is -1 less than or equal to o? True Let b = 4.08 - 0.08. Let x = 45.8 + -50. Let j = x + b. Is 0.1 <= j? False Suppose 4*c = -4*p + 4, -2 + 0 = 2*p + 4*c. Which is bigger: 15/8 or p? p Let p = 20 + -20.06. Is -0.2 >= p? False Let j be ((-3)/6)/(0 - 1). Suppose -9 + 45 = 3*n. Let o be (1/(-2))/((-3)/n). Is o not equal to j? True Suppose -3*u = u - 20. Suppose 5*t - u*j + 30 = 0, 3*t + 3*j - 12 = -0. Which is greater: t or -3/4? -3/4 Let t = 37 + 13. Does t = 51? False Let v = -2 + 3. Let i be (-5)/(-1) - 1 - v. Let a be ((-4)/12)/(3/(-18)). Which is smaller: a or i? a Let d be 1/(-3)*(-9)/4. Let i = 7 + -4. Suppose -5*a - 11 = 14, -3*k + i*a = -21. Which is greater: k or d? k Let c = 5 + -2. Let p be (c/3)/1 - 3. Let o be (6/4 + -2)*p. Is o not equal to 1/7? True Suppose -4*q - 4 = 4. Suppose 4*t + 6 = -5*x + 3*x, 4*x + 2*t + 12 = 0. Is q smaller than x? False Let o = -28.1 + 26. Let s = -2 - o. Let f = -6 - -6.06. Is s at least as big as f? True Let m be 6/15 - (-2)/(-5). Which is bigger: m or -1? m Suppose 3*s + t - 4 = -3, -4*s - 3*t - 7 = 0. Are 4/3 and s nonequal? True Let v = 3.67 - 4. Let p = -0.03 - v. Let t = 0.3 - 0.3. Is t at most as big as p? True Suppose 64 = 5*s + 119. Is -11 less than s? False Suppose -2*b = -0 + 4. Suppose -2*x - 22 = 5*l - 2, -4*x = -2*l - 32. Let q(i) = -i**3 - 5*i**2 + 5*i - 8. Let c be q(l). Is c less than b? False Let v = 0.05 - -3.95. Is -2/3 smaller than v? True Let r = 42027/8 - 5305. Let o = r - -52. Which is bigger: -1 or o? o Let j(v) = -v**2 + 2*v. Let a be j(1). Let h be -3*a*4/30. Let y = -6 - -7. Which is smaller: h or y? h Let w(p) = p**2 - p. Let c be w(0). Let s(a) = -a - 8. Let x be s(-5). Is c less than or equal to x? False Let h(u) = u**3 + 7*u**2 + 2. Suppose -y + 7 = -2*y. Let a be h(y). Which is bigger: 4/3 or a? a Let q = 6 - 5.2. Let d = q + -0.9. Which is greater: d or 1? 1 Let v be (4/(-1630))/(10/50). Which is smaller: v or 0? v Let j = -0.02 - -2.02. Is -1.3 >= j? False Let f = -0.19 + 0. Let k = -0.09 - f. Let d = 0 + -1. Are d and k equal? False Suppose -4*f + 2*l = -70, 21 = 2*f + l - 4. Which is smaller: f or 18? f Let w = -92 + 122. Do 28 and w have different values? True Suppose -8*v + 6*v = 0. Let j be (-6)/21 - (-8)/(-7). Is v != j? True Let d = -0.16 + 0.07. Let c = d - 0.91. Is 0.2 > c? True Let i = -302378 - -6356954/21. Let n = i - 334. Which is smaller: n or 1? n Let j(x) = 3*x - 2. Let z be j(-2). Which is smaller: z or -9? -9 Let g be 31/28 - 55/44. Which is greater: 21 or g? 21 Let y be 3 - -1*159/(-51). Suppose 4*z = -0*z - 4. Which is smaller: z or y? z Suppose 0 = -3*w - 2*h + 1, h = 4*w + 4*h - 1. Is w >= 10/11? True Suppose 5*m - m + 4*c = 32, 4*m + 3*c = 28. Let u be ((-4)/(-3))/(m/(-12)). Are u and -4 unequal? False Suppose 88 - 76 = -4*q. Which is smaller: q or -10? -10 Suppose 5*t - v + 21 = 3*v, 24 = -4*t - 4*v. Is 0.1 greater than t? True Let h = -6 + 9. Suppose 2*k - 1 = h. Let c be (k/4)/((-2)/4). Which is bigger: c or 1/4? 1/4 Let v be (185/((-5)/1))/(-1). Which is greater: v or 36? v Let o = 17 - 17. Suppose o = z + d + 4, -5*d = -4*z - 3 + 14. Which is smaller: z or 4/9? z Let m be 3/(4/((-8)/(-3))). Let y be (-221)/5 + (2 - m). Let w = 44 + y. Which is bigger: 1 or w? 1 Let f(i) = -4*i + 1. Let u be f(-4). Suppose -4*w = 1 - u. Is 3 at most as big as w? True Let y = 29 - 16. Let t = y - 115/9. Let c(j) = -j - 4. Let l be c(-4). Is t > l? True Suppose -1 + 5 = 2*y. Suppose 0 = 2*t + 4*c + 16, -3*t - y*c - 22 = 10. Is t at most as big as -12? True Let r be (-11)/(-14) + (-8)/28. Does r = 1? False Let n = 1.81 - 1.746. Is n >= 1? False Let m be ((-1)/4)/((-1)/(-4)). Which is smaller: -3/52 or m? m Let g(k) = k**2 + 5*k + 2. Let o be g(-3). Let x = o - -8. Suppose 5*f - x = -4*w + 7, 0 = -5*w - 4*f + 7. Which is bigger: w or 0? 0 Let h = -9 - -8. Let x = 259.93 - 256. Let g = -0.07 - x. Is g smaller than h? True Let r(l) = 2*l**2 + 2*l**3 + 0 - l**3 + 3 - 5*l**2 - 5*l. Let a be r(4). Suppose y + 3*y + 4 = 0. Is a equal to y? True Let y = -0.9 - -0.95. Let t = 1.95 + y. Which is smaller: 0.1 or t? 0.1 Suppose -2*v - 7 = -9. Is v at most as big as -5/17? False Let n = 0.46 - 0.5. Let x = n + 0.14. Which is smaller: 4 or x? x Suppose 4*i + 4 + 16 = 0. Let k = i + 4. Is k at most -2? False Let x be 1/((-66)/(-21) + -3). Suppose 5*p - 1 = -t, 5*t + 2 = x. Is -3/13 <= p? True Suppose 7 = t - 7. Is 12 bigger than t? False Let p = -67.02 - -68. Let d = p - -0.02. Let w = 0 - -1. Is d at least as big as w? True Let m be 2/3 + 77/(-21). Let y be (8 -
{ "pile_set_name": "DM Mathematics" }
2/11 - 21910*s - 802032 = 0. -744, -77 Solve -4*l**3 + 1988*l**2 - 27048*l = 0 for l. 0, 14, 483 Suppose 4*j**2 + 47084*j = 0. Calculate j. -11771, 0 Solve -d**5 + 206*d**4 - 10606*d**3 - 616*d**2 + 31415*d + 21218 = 0. -1, 2, 103 Factor -55*v**3 + 38590*v**2 - 153700*v + 153480. -5*(v - 2)**2*(11*v - 7674) Find m, given that -m**4 + 538*m**3 - 1605*m**2 = 0. 0, 3, 535 Factor 534*o**2 - 2667*o - 15. 3*(o - 5)*(178*o + 1) Let -15*m**3 + 155095*m**2 - 413500*m + 206740 = 0. Calculate m. 2/3, 2, 10337 Solve -22*c**3 - 400*c**2 - 822*c + 3420 = 0 for c. -15, -57/11, 2 Let q**3 + 719*q**2 + 116374*q + 115656 = 0. Calculate q. -474, -244, -1 Solve z**5 - 162*z**4 + 1082*z**3 + 484*z**2 - 2931*z - 2170 = 0 for z. -1, 2, 7, 155 Suppose -y**3/4 + 169*y**2/4 - 2350*y + 43125 = 0. What is y? 50, 69 Factor -r**2/12 + 804527*r/6 - 647263693729/12. -(r - 804527)**2/12 Let c**3 - 38710*c**2 = 0. Calculate c. 0, 38710 Determine g so that -3*g**2 + 41766*g - 145366563 = 0. 6961 Determine h so that -4*h**3 - 1328*h**2 + 15020*h - 24696 = 0. -343, 2, 9 Find f, given that 2*f**2/3 - 277234*f/3 + 277232/3 = 0. 1, 138616 Factor 2*c**3 + 24*c**2 - 536*c + 960. 2*(c - 10)*(c - 2)*(c + 24) Suppose 18*w**2 + 13323*w + 2220 = 0. What is w? -740, -1/6 Factor -4*r**3 + 624*r**2 - 3044*r + 3624. -4*(r - 151)*(r - 3)*(r - 2) Find q, given that q**5/5 - 9633*q**4/5 + 4638771*q**3 + 23203489*q**2/5 = 0. -1, 0, 4817 Determine d so that -4*d**2 - 1440*d + 164164 = 0. -451, 91 Let 5*i**2 + 13005*i - 196200 = 0. Calculate i. -2616, 15 Solve -s**5/3 - 158*s**4/3 - 5347*s**3/3 + 17486*s**2/3 - 644*s/3 - 23320/3 = 0 for s. -106, -55, -1, 2 Solve -5*j**4 - 5060*j**3 - 1270015*j**2 + 5146040*j - 3870960 = 0 for j. -508, 1, 3 Solve -8*y**4/7 - 30*y**3/7 + 1188*y**2/7 + 1210*y/7 = 0 for y. -55/4, -1, 0, 11 Factor 5*l**5 - 162875*l**4 - 325765*l**3 - 162885*l**2. 5*l**2*(l - 32577)*(l + 1)**2 Find l such that -630*l**2 + 985*l - 230 = 0. 2/7, 23/18 Factor 14*v**4 - 1060*v**3 - 22104*v**2 - 138672*v - 283392. 2*(v + 6)**3*(7*v - 656) Solve a**2/2 - 948*a + 1894 = 0 for a. 2, 1894 Factor -2*l**2/5 + 228*l/5 - 1298. -2*(l - 59)*(l - 55)/5 Solve -l**3/6 + 37*l**2/2 + 940*l + 30200/3 = 0. -20, 151 What is y in 3*y**4 + 136344*y**3 - 136347*y**2 = 0? -45449, 0, 1 Let 4*t**2 + 26288*t + 43191184 = 0. What is t? -3286 Factor -h**2/6 + 958*h/3 + 1922. -(h - 1922)*(h + 6)/6 What is j in -3*j**2 - 669*j - 16878 = 0? -194, -29 Determine v so that -5*v**3/3 - 1470*v**2 - 8800*v/3 = 0. -880, -2, 0 What is l in 4*l**2 - 44684*l = 0? 0, 11171 Determine t so that 5*t**5 - 1580*t**4 - 36975*t**3 - 69190*t**2 - 33800*t = 0. -20, -1, 0, 338 Find w, given that w**3/3 - 1658*w**2/3 = 0. 0, 1658 Factor -4*z**3/7 - 400*z**2/7 - 9508*z/7 + 1416. -4*(z - 1)*(z + 42)*(z + 59)/7 Factor -x**4 + 67*x**3 - 445*x**2 - 17451*x - 74970. -(x - 51)*(x - 30)*(x + 7)**2 Solve -f**4/5 + 5944*f**3/5 + 155171*f**2/5 + 292506*f/5 + 28656 = 0. -24, -1, 5970 Factor -2*l**3/3 - 11854*l**2/3 + 23714*l/3 - 11858/3. -2*(l - 1)**2*(l + 5929)/3 Find w such that -4*w**3 - 456*w**2 - 4160*w = 0. -104, -10, 0 Let -14*b**5 + 188*b**4 + 366*b**3 - 540*b**2 = 0. What is b? -18/7, 0, 1, 15 What is v in v**3 - 21852*v**2 - 4*v + 87408 = 0? -2, 2, 21852 Let -2012*a**5/3 - 2680*a**4 - 2672*a**3 + 32*a**2/3 = 0. Calculate a. -2, 0, 2/503 Find w such that -6*w**4/5 + 1606*w**3/25 - 15248*w**2/25 + 6072*w/5 - 12096/25 = 0. 8/15, 2, 9, 42 Determine z so that -4*z**4 - 40*z**3 + 21372*z**2 + 750112*z + 3213760 = 0. -44, -5, 83 Factor a**3/10 - 490*a**2 + 6179693*a/10 - 215435053/5. (a - 2413)**2*(a - 74)/10 Let 8*m**4 - 4698*m**3 + 212070*m**2 - 52724*m = 0. Calculate m. 0, 1/4, 49, 538 Factor -2*m**4 - 3692*m**3 - 1736762*m**2 - 30370392*m - 135334152. -2*(m + 9)**2*(m + 914)**2 Find m, given that -4*m**5 + 8240*m**4 - 16452*m**3 - 24712*m**2 + 32912*m + 32928 = 0. -1, 2, 2058 Factor -q**4/3 + q**3 + 241*q**2/3 - 561*q. -q*(q - 11)*(q - 9)*(q + 17)/3 Factor -5*g**2 + 1895600*g - 179664968000. -5*(g - 189560)**2 Factor 2*n**2/3 - 760*n/3 - 29050/3. 2*(n - 415)*(n + 35)/3 Determine g so that g**3 - 56421*g**2 + 564135*g - 1410275 = 0. 5, 56411 Let -2*i**3/15 + 7662*i**2/5 - 298504*i/15 + 18368 = 0. What is i? 1, 12, 11480 Solve -27*r**3/2 + 1187*r**2 + 2518*r + 180 = 0. -2, -2/27, 90 Factor 2*q**3/3 - 54*q**2 - 5252*q/3 - 1696. 2*(q - 106)*(q + 1)*(q + 24)/3 Factor 3*k**3 - 1038*k**2 - 98373*k + 43183308. 3*(k - 271)**2*(k + 196) Solve -5*b**2 + 610*b - 1785 = 0. 3, 119 Determine r so that 5*r**4 - 7175*r**3 + 42915*r**2 - 64325*r + 28580 = 0. 1, 4, 1429 Solve -5*s**3 - 407175*s**2 - 8289777615*s - 8289370445 = 0. -40717, -1 Factor -2*u**2 + 190*u + 7192. -2*(u - 124)*(u + 29) Let 3*m**3/7 - 3855*m**2/7 + 3852*m/7 = 0. Calculate m. 0, 1, 1284 Solve 2*j**4/13 - 732*j**3/13 + 82778*j**2/13 - 2891400*j/13 + 31205000/13 = 0 for j. 25, 158 Factor 21993*z**3/4 + 44049*z**2/4 + 63*z/2. 3*z*(z + 2)*(7331*z + 21)/4 Determine p so that -7*p**4/5 + 936*p**3/5 + 11634*p**2/5 - 26048*p/5 + 2697 = 0. -93/7, 1, 145 Factor 1220180*z**3 + 1921660*z**2 - 982275*z + 110250. 5*(z + 2)*(494*z - 105)**2 Factor -r**5/4 + 9*r**4/4 + 810*r**3 + 15525*r**2. -r**2*(r - 69)*(r + 30)**2/4 Determine i, given that -16*i**3/5 + 4066*i**2/5 + 11828*i/5 - 1542/5 = 0. -3, 1/8, 257 What is u in -3*u**4 - 14694*u**3 - 117399*u**2 - 190728*u - 88020 = 0? -4890, -6, -1 Let 2*l**4/11 + 608*l**3/11 - 17114*l**2/11 + 15280*l/11 + 3000 = 0. Calculate l. -330, -1, 2, 25 Solve -3*j**4 - 23886*j**3 - 49095423*j**2 - 6171903540*j - 200296176300 = 0 for j. -3915, -66 Let -3*t**2/5 - 13956*t/5 + 13971 = 0. Calculate t. -4657, 5 Let 3*z**2 + 1002*z + 11592 = 0. What is z? -322, -12 Factor r**4/3 - 187*r**3/3 - 588*r**2. r**2*(r - 196)*(r + 9)/3 Determine x so that 2*x**5/13 - 34*x**4 + 11474*x**3/13 - 65574*x**2/13 + 10044*x - 76032/13 = 0. 1, 3, 22, 192 What is c in c**4 - 2272*c**3 + 183957*c**2 - 361102*c + 179416 = 0? 1, 82, 2188 Suppose p**4/6 + 323*p**3/2 + 39203*p**2 + 114224*p/3 - 234256 = 0. What is p? -484, -3, 2 Solve 5*w**5/6 + 1025*w**4/6 + 6925*w**3/6 - 1025*w**2/6 - 1155*w = 0 for w. -198, -7, -1, 0, 1 Suppose 5*h**3 - 370*h**2 + 6480*h - 11520 = 0. What is h? 2, 24, 48 Find x such that -48*x**5 - 4248*x**4 - 94995*x**3 - 42477*x**2 + 89496*x + 52272 = 0. -44, -3/4, 1 What is g in -g**3/2 - 33395*g**2 - 133577*g/2 - 33394 = 0? -66788, -1 Find n such that 2*n**2 + 12748*n = 0. -6374, 0 Find z, given that 3*z**3 + 1056*z**2 + 82695*z - 1848150 = 0. -185, 18 Factor 2*h**2/9 + 176*h/9 - 512/3. 2*(h - 8)*(h + 96)/9 Factor -2549282*s**3/15 + 1528666*s**2/3 + 13546*s/15 + 2/5. -2*(s - 3)*(1129*s + 1)**2/15 Factor 20*c**3 + 958*c**2 + 4286*c + 3096. 2*(c + 4)*(c + 43)*(10*c + 9) Suppose -50*c**5/3 + 20*c**4/3 + 758*c**3/3 - 752*c**2/3 - 352*c = 0. Calculate c. -4, -4/5, 0, 11/5, 3 Factor r**4 - 64*r**3 + 1050*r**2 - 1912*r + 925. (r - 37)*(r - 25)*(r - 1)**2 Factor v**4/3 + 175*v**3 + 23907*v**2 + 735791*v/3 + 396294. (v + 2)*(v + 9)*(v + 257)**2/3 Factor -4*i**4 - 4068*i**3 + 4072*i**2. -4*i**2*(i - 1)*(i + 1018) Factor i**5 - 552*i**4 + 98776*i**3 - 6237600*i**2 + 127690000*i. i*(i - 226)**2*(i - 50)**2 Solve -3*s**5/5 + 633*s**4/5 - 4293*s**3/5 + 1647*s**2/5 + 7776*s - 66096/5 = 0 for s. -3, 3, 4, 204 Let 2*p**5/11 + 10*p**4/11 - 52*p**3/11 - 196*p**2/11 - 206*p/11 - 70/11 = 0. What is p? -7, -1, 5 Find a such that -5*a**5 - 4022*a**4 + 43122*a**3 - 59488*a**2 + 5723*a + 14670 = 0. -815, -2/5, 1, 9 Find h such that 4*h**2 - 5696*h = 0. 0, 1424 Factor 5*p**3 - 10440*p**2 + 83280*p - 166400. 5*(p - 2080)*(p - 4)**2 Determine g so that 159014*g**4/9 + 162712*g**3/3 + 503186*g**2/9 + 59312*g/3 + 3872/9 = 0. -44/43, -1, -1/43 Determine z so that -3*z**4 + 4254*z**3 - 1537335*z**2 + 20634588*z + 22176180 = 0. -1, 15, 702 Determine h so that -2*h**2 + 114558*h = 0. 0, 57279 Factor -4*i**2/3 - 169904*i/3 - 169900/3. -4*(i + 1)*(i + 42475)/3 Suppose 5*w**5 + 126*w**4 + 5*w**3 - 504*w**2 - 100*w = 0. What is w? -25, -2, -1/5, 0, 2 Find i such that 20*i**2 + 705*i - 3800 = 0. -40, 19/4 Factor -2*c**3 + 20358*c**2 - 61060*c + 40704. -2*(c - 10176)*(c - 2)*(c - 1) Factor -o**2/5 - 112226*o/5 - 224448/5. -(o + 2)*(o + 112224)/5 Factor 3*g**2/2 + 744353*g - 496236. (g + 496236)*(3*g - 2)/2 Let 2*h**3/
{ "pile_set_name": "DM Mathematics" }
False Suppose 0 = -0*a - 3*a + 2*p + 82, -2*a + 58 = -2*p. Let x = a - -114. Does 14 divide x? False Let n = 94 + 36. Suppose 140 + n = 9*x. Does 6 divide x? True Suppose -57*t + 7840 = 13*t. Is 3 a factor of t? False Let z(w) = 3*w + 5. Let h be z(-3). Does 7 divide (126/(-15))/(h/20)? True Let j(d) = -82*d + 69. Is j(-6) a multiple of 20? False Suppose -2*n + 15 = 39. Does 22 divide 12 + n + 199 + -1? True Let l be (14/28)/(1/(-4)). Let i(v) = -67*v + 6. Is i(l) a multiple of 20? True Let s be 1/2 + 3/(-2). Let a be s/(-2) - (-16)/32. Is 8 a factor of (-8)/((-24)/63) + a? False Suppose 0 = -7*d + 5*d + 4. Suppose d*u + 3*k - 414 = -0*k, -3*u + 618 = 3*k. Is u a multiple of 34? True Suppose 3*i + 31 = 5*w, -24 = 2*i - 0*w - 5*w. Let p(j) = -21*j - 17. Is p(i) a multiple of 10? True Suppose 43*w = 40*w - 1611. Is 26 a factor of (-1 + 2/(18/w))*-3? True Suppose 2*q + 5*b - 23 = 0, 0*q - 3*b + 25 = 4*q. Suppose -q*u + 360 = u. Suppose 3*d - 61 - u = w, 3*d = -w + 137. Does 16 divide d? False Let w = 10 + -8. Suppose 4*i + 4*a + 10 = w*i, 2 = 2*i + a. Suppose -i*t = -5*k + 18, -k = 4*k + 3*t - 42. Is 3 a factor of k? True Let l be -2*-7*3/6. Suppose 5 = 2*j - l*j. Does 10 divide (-10 - j)/((-17)/34)? False Suppose -5*t = 4*i - 1530 + 322, -478 = -2*t + i. Suppose 0 = -8*a + 1088 + t. Is 9 a factor of a? False Suppose 12 = -i + 4*i. Suppose 5 = i*m - 3. Suppose -j - 3*l = -46, 2*j - 37 = -m*l + 7*l. Is 14 a factor of j? False Is (39/3)/((-3)/(-146 + -1)) a multiple of 18? False Suppose -h = -x - 17, -3*x + 0*x = -h + 23. Let t = 15 + h. Let y = t + -10. Is y a multiple of 9? False Suppose -1344*a + 1337*a + 9884 = 0. Does 15 divide a? False Let n(v) = -2*v + 96. Does 8 divide n(14)? False Let v(k) = k - 1. Let y(w) = 10*w - 37. Let q(j) = -6*v(j) + y(j). Is 9 a factor of q(10)? True Suppose 2*o - 331 - 18 = -w, -o = -3*w - 157. Is 3 a factor of o? False Let r(a) = 65*a**2 + a - 11. Let n be r(-4). Suppose 5*j + 0*j = n. Is 41 a factor of j? True Suppose -2*j = -0*x - 4*x - 1960, 2*j - 1981 = -3*x. Does 22 divide j? False Let t = -13 - -13. Suppose t*r - 39 = -r. Suppose -4*s + 5*g = -r, -3*s + 95 = 2*s + 3*g. Does 8 divide s? True Let q(p) = -50*p**2 - 11*p - 7. Let z be q(-7). Does 24 divide (z/(-25))/((-8)/(-20))? False Let g be ((-8)/(-24))/(1/2172). Suppose 4*y = g + 40. Is y a multiple of 44? False Let l be (2 - (4 - -1)) + 390 + 2. Is l/5 - 5/(-25) a multiple of 13? True Let k be (-2)/(-5) - 26/(-10). Let f = -403 + 375. Does 4 divide f/((-4)/6*k)? False Suppose -y - 3*j - 199 = 0, 2*y - 5*j + 123 = -275. Let k = y + 369. Is 23 a factor of k? False Let g(a) = -101*a - 26. Does 32 divide g(-7)? False Suppose 20 - 2 = -6*f. Let w(v) = -5*v + 6. Is w(f) a multiple of 13? False Let w(l) = -200*l - 142. Does 17 divide w(-7)? True Suppose -24 = -5*i - 3*b, -4*i - i + 27 = 4*b. Suppose -30 - 23 = -f + 2*j, i*f = 3*j + 153. Is 14 a factor of f? False Let p(m) be the third derivative of 1/3*m**3 + 0*m + 1/60*m**5 + 1/6*m**4 - 2*m**2 - 1/120*m**6 + 0. Is p(-3) a multiple of 13? True Let h = 95 + -100. Is 10 a factor of (-412)/(-5)*1 + 2/h? False Let t be (-1)/3 - 20/(-60). Suppose -2*q + 4*g - 2*g = t, 6 = 2*g. Is q even? False Let w = 42 + 357. Does 21 divide w? True Suppose -5 = -5*n - 3*o, -n = -4*n + 2*o + 22. Suppose -4*s + n*z + 148 = 0, 2*z + 3*z + 145 = 4*s. Does 10 divide s? True Let l(w) = 4*w**2 + 5*w + 4. Let j(a) = a - 12. Let h be j(7). Let r be (-2)/h - 48/20. Is l(r) a multiple of 5? True Suppose -5031 = -10*b + 10949. Does 17 divide b? True Suppose 214 = 5*p + 49. Does 4 divide p? False Suppose 8*u - 19 = 709. Is 13 a factor of u? True Let v(t) = -t**3 - 12*t**2 - 6*t + 5. Let x be v(-5). Let w = 40 - x. Is 33 a factor of w? False Suppose w + d + 5 = -2, -2*w + 4*d = -4. Is 5 a factor of (3*(-2)/6)/(w/20)? True Suppose 78*a = 104*a - 1976. Is a a multiple of 16? False Suppose 0 = -g - 3*g. Let y = g + 3. Suppose y = o - 6. Does 3 divide o? True Suppose 7475 = 6*n + 7*n. Is n a multiple of 19? False Let l be 111/12 - (-2)/(-8). Is 6/l - (-49)/3 a multiple of 5? False Let t(l) be the second derivative of -l**5/10 - l**4/4 + l**3/3 - 3*l**2/2 + 2*l. Let z(a) = a**3 + 6*a**2 + a + 3. Let n be z(-6). Is t(n) a multiple of 9? True Suppose -7*q + 2*q + 88 = 4*t, -5*t + 81 = -q. Suppose 2*w - 36 = 4*i, -4*w = -3*i - 0*w - t. Let v(r) = -5*r. Is 26 a factor of v(i)? False Let k be -2 + 4 + -3 + -1. Is ((104/(-12))/(-2))/(k/(-72)) a multiple of 39? True Let n = 11 + -38. Let s be (2/17 + 380/238)*-28. Does 32 divide s/((n/24)/3)? True Let f(n) = -128*n - 112. Does 19 divide f(-8)? True Let c(s) = s**2 - 2*s - 5. Let d(i) = i - 9. Suppose 8*y + 24 - 80 = 0. Let z be d(y). Is c(z) a multiple of 2? False Let a(x) = -x**2 + 16*x + 2. Let h(z) = -5*z**2 + 64*z + 7. Let j(v) = -9*a(v) + 2*h(v). Is 17 a factor of j(-11)? True Let y = 218 + 17. Is 47 a factor of y? True Let s = -39 - -41. Suppose 13 = l - s. Is l a multiple of 15? True Does 43 divide ((-2322)/(-45))/(8/20)? True Let a be 2/12*3*-22. Let q(o) = -o**2 - 12*o - 12. Let u be q(a). Is 5 a factor of 22/(1 + -2)*u? False Is (-20)/(-3)*36/30 a multiple of 3? False Suppose -2*r = 5*n + 51, 21 = -3*n + n - r. Let l be 7/14*(1 - n). Suppose l*b - 190 = 4*k, -251 = -4*b - 3*k - 68. Does 14 divide b? True Let i(r) = r**3 + 9*r**2 - r - 10. Let b be i(-9). Let n be (0 + b)*(44 - 5). Let q = n - -67. Does 7 divide q? True Let s(t) = -t**3 + 7*t**2 + 8*t. Let w be s(8). Suppose -8*d + 12*d - 128 = w. Is 5 a factor of d? False Suppose j - 2*l = 6*j + 9, 0 = -5*j - l - 12. Is 9 a factor of (8/(-20))/(j/270)? True Suppose -8*h - 25 = -3*h. Let f = h - 0. Is 4 a factor of 6*(-2)/(-4) - f? True Suppose 428 = -8*c + 6*c. Does 12 divide 1/3 + c/(-6)? True Suppose 10*p = 41*p - 2356. Is p a multiple of 4? True Let y(t) = t + 3. Let m be y(12). Let r = 26 - m. Is 453/r - (-14)/(-77) a multiple of 33? False Let d = -48 + 108. Is 4 a factor of d? True Let a be 51/(-7) - (-4)/14. Let v be -28 + 2 + (-21)/a. Is 19 a factor of 2 + 0 + -3 - v? False Suppose -4*l - h + 3 = 0, -5*l + h = -2*l - 11. Suppose -5*u - 6*n = -l*n + 152, 3*u - n = -98. Is 5 a factor of (u/(-12))/((-3)/(-36))? False Let q = 502 - -161. Is q a multiple of 103? False Let x be 4/(-6) + 3108/(-9). Let y be 8/(-48) + x/12. Let j = y + 61. Does 16 divide j? True Suppose 4*s - 3444 = -5*c, -15*s = -16*s - 2*c + 864. Is s a multiple of 48? False Let g be (12/5)/(12/(-320)*-4). Is 7 a factor of (-1 - g/(-4)) + 143? False Let r = 50 + 22. Let u = -16 + r. Does 11 divide u? False Let m be 73 - 8/(4 + 0). Let i = -4 + 7. Suppose -f + d + 0*d = -21, -m = -i*f - 5*d. Does 11 divide f? True Suppose 0 = -x + 2583 - 645. Does 117 divide x? False Let q = 0 - -2. Suppose 0*c = -2*c + 3*o + 85, q*c - 67 = -3*o. Suppose -14 = -3*s + g + 14, -c = -3*s - g. Does 7 divide s? False Let m be 14/42*(1 - 1). Suppose -3*k - 4*w - 8 = 0, m*k = k + 3*w + 6. Suppose 6*a - a - 190 = k. Does 19 divide a? True Let b(w) = 3*w**2 + 46*w + 1. Is 5 a factor of b(-18)? True Let i(n) = n**3 + 10*n**2 - 11*n + 18. Let g be i(-9). Suppose 3*a - g = -3*a. Does 11 divide a? True Let i(t) = -28*t - 10. Suppose s = 4*z - 7, 0*s + 5*z = -2*s + 25. Let p(v) = 11*v + 4. Let o(w) = s*i(w) + 12*p(w). Is 15 a factor of o(-4)? True Suppose -231 = 3*a - 771. Does 60 divide a? True Suppose i - 3*y - 57 = 0, i + 3*y + 5 - 62 = 0. Suppose k - i = -0*o - 2*o, 0 = 5*o - 20. Is k a multiple of 12? False Suppose 5*o + 152 + 165 = 2*q, 574 = 4*q + 2*o. Does 5 divide q? False Let l = -85 - -165. Let a = l - -46. Is 8 a factor of a? False Let s = -288 - -326. Is s a multiple of 3? False Suppose m + 4 = -6*g + 3*g, -2*m + 2*g + 16 = 0. Let z = 11 - m. Suppose -n + z = -7. Is 13 a factor of n? True Let o = -25 - -13. Let n be 222*((-4)/o - 0). Is 19 a factor of (n - -2)/(-2 + 3)? True Let k(a) = a**3 + 10*a**2 - 7*a - 19. Let s be -5 - -7 - -1 - 3*4. Does 25 divide k(s)? True Suppose 17 = 3*k - 4*f, 16 = 4*k - 5*f - 8. Let q = k + 119. Does 26 divide q? True Let j(o) = o**2 - 19*o - 64. Suppose -5*l = -4*p + 76, -2*l - 16 = 2*p - 3*p. Is j(p) a multiple of 14? True Let h(x) = x**3 - 9*x**2 + 20*x - 12. Is 21 a factor of h(9)? True Let r = 12 + -4. Let j(f) = -3 + 15*f**2 + r + 2 - 16*f + f**3. Is j(-16)
{ "pile_set_name": "DM Mathematics" }
a(o) = 13*o**3 + 16*o**2 + 6*o. Let c = 271 - 273. Let b(k) = -4*k**3 - 5*k**2 - 2*k. Let q = -31 - -24. What is c*a(x) + q*b(x)? 2*x**3 + 3*x**2 + 2*x Let b(n) = 2*n**3 - 5*n + 3. Let o(f) be the first derivative of 5*f**4/4 - 7*f**2 + 8*f + 4. Suppose -4*t + 41 = 9. Give t*b(d) - 3*o(d). d**3 + 2*d Let a(r) = 1. Let n(h) = h**3 - 8. Determine 6*a(q) + n(q). q**3 - 2 Let k(r) = r - 3. Let b(t) be the second derivative of -t**4/12 - 11*t**3/6 - 9*t. Let w(g) be the second derivative of b(g). What is 2*k(c) - 5*w(c)? 2*c + 4 Let b(p) = 52*p + 1. Let t(q) = -26*q. Calculate -2*b(v) - 5*t(v). 26*v - 2 Let l(y) = -y**2 - 4*y - 4. Let q be l(-3). Let u(z) = -3 - z + 9 + z**3 - 5. Let n(r) = -3*r**3 + 2*r - 4. What is q*n(m) - 2*u(m)? m**3 + 2 Let v(u) = 339*u**3 + 226. Let p(t) = t**3 + 1. Calculate 226*p(q) - v(q). -113*q**3 Let m(t) = -t**3 + t**2 - t + 2. Let v(y) = y**3 - y**2 - 1. Give m(f) + 3*v(f). 2*f**3 - 2*f**2 - f - 1 Let k(f) = -f**2. Let s be (18/4)/(9/(-18)). Let h(u) = u**2 - 2*u - 2. Let x(y) = 5*y**2 - 9*y - 9. Let i(a) = s*h(a) + 2*x(a). Calculate -3*i(w) - 2*k(w). -w**2 Let y = 6 - 13. Let q(p) be the second derivative of -3/2*p**2 + 0 - 18*p + 5/6*p**3. Let c(b) = -2*b + 1. Determine y*c(f) - 3*q(f). -f + 2 Let i(w) = -270*w**2 + 4*w + 9. Let v(h) = -406*h**2 + 6*h + 14. Calculate -8*i(t) + 5*v(t). 130*t**2 - 2*t - 2 Let g(r) = -166*r**3 - 4*r**2 - 4. Let c(y) = y**2 + 1. Calculate -4*c(j) - g(j). 166*j**3 Suppose 4*x - 5*w + 26 + 23 = 0, 3*x = -5*w + 7. Let k(u) = -4*u + 8. Let i(z) = -3*z + 7. Determine x*i(s) + 5*k(s). -2*s - 2 Let w(m) = 248671*m**2 + 5838*m. Let l(b) = -1535*b**2 - 36*b. What is 973*l(f) + 6*w(f)? -1529*f**2 Let c(s) = -5*s - 7. Suppose -3*x = 0, 0*x = -4*k - 4*x - 20. Let v(g) = -8*g - 2*g - 7 + 6*g + 1. Give k*c(h) + 6*v(h). h - 1 Let i(z) = -52*z - 1. Let u(h) = -214*h - 5. What is -9*i(q) + 2*u(q)? 40*q - 1 Let h(n) = -2374*n + 0 - 1 + 2373*n. Let f(d) = -d**2 - 6*d - 4. Let j = 0 - -2. Suppose -4*z + 5*t + 5 = 0, -2*z + 3*t + j - 1 = 0. What is z*h(u) - f(u)? u**2 + u - 1 Let k(t) = 2*t**3 - 3*t**2 + 9*t - 3. Let p(r) = 2*r**3 - 5*r**2 + 17*r - 5. Give -5*k(n) + 3*p(n). -4*n**3 + 6*n Let w(s) = -34243*s**3 + s + 4*s + 7 + 34226*s**3 + 5*s**2. Let r(m) = 8*m**3 - 2*m**2 - 2*m - 3. What is 5*r(u) + 2*w(u)? 6*u**3 - 1 Let k(f) = 5*f**3 + 2*f**2. Let r(a) be the second derivative of -a**5/20 - 28*a - 2. Determine k(x) + 3*r(x). 2*x**3 + 2*x**2 Let k be (5/(-3))/(3/(-9)). Let z(g) = 13*g + 19. Let c(w) = -19*w - 28. Let f(p) = 5*c(p) + 7*z(p). Let s(h) = h + 1. What is k*s(l) + f(l)? l - 2 Let h(z) = 15*z**2 - 16*z - 5. Let j(w) = -11*w**2 + 17*w + 5. Calculate 4*h(s) + 5*j(s). 5*s**2 + 21*s + 5 Let l(m) be the third derivative of -m**6/120 - m**5/10 - m**4/8 + m**3/2 + 23*m**2. Let b(i) = -2*i**3 - 11*i**2 - 5*i + 5. Give -3*b(x) + 5*l(x). x**3 + 3*x**2 Let g(t) = -8*t - 1. Suppose -4*p = -u - 17, -3*p + 0*u + 4*u + 29 = 0. Suppose -3*h + 0 = -p. Let l(f) = 5*f - 2*f + 4*f + h. Determine 6*g(b) + 7*l(b). b + 1 Let i(n) = 7*n**3 + 3*n**2 + 2. Let y(z) = -7*z**3 - 2*z**2 - z - 3. Determine 3*i(d) + 2*y(d). 7*d**3 + 5*d**2 - 2*d Let w(f) = 34*f**2 + 17*f**3 - 3352*f + 3352*f + 34. Let b(q) = -q**2 - 1. Give -34*b(k) - w(k). -17*k**3 Suppose 0*t + 10 = 2*t. Let x(a) = -t + 5 - 4 + 3. Let l(f) = -2*f - 2. Calculate -l(u) + 2*x(u). 2*u Let i(p) = -p + 5. Suppose -14 = 3*v - 5*m, -3*v - 41 = 3*m - 11. Let a(y) = y**2 + 8*y - 3. Let n be a(v). Let l(b) = 4*b - 16. Give n*l(q) - 10*i(q). -2*q - 2 Let p(y) = 147*y**3 - 2. Let i(u) = 2500*u**3 - 35. Calculate -2*i(q) + 35*p(q). 145*q**3 Let n(g) = 267*g**2 - 6*g - 1. Let v(z) = 535*z**2 - 14*z - 3. Calculate -5*n(k) + 2*v(k). -265*k**2 + 2*k - 1 Let u(q) = q**2 - q + 1. Let y(m) = 3*m**2 + 3*m - 9. Let s(b) = -7*b**2 - 6*b + 16. Let o(l) = -3*s(l) - 5*y(l). Calculate -o(j) - 3*u(j). -9*j**2 Let h(f) = -2*f**2 + 4*f + 3. Let s(j) = 6*j**2 - 12*j - 9. Give -17*h(p) - 6*s(p). -2*p**2 + 4*p + 3 Let g(t) = t - 1. Let k be (-12)/(-15) + 1/5 + 1. Let o(u) = 56*u + 0*u**2 + 0*u**2 - 54*u - k - u**2. Give 2*g(h) - o(h). h**2 Let l = -28 + 47. Let k = l - 14. Let r(y) = -5 - 9*y + 5*y**2 - 5*y**2 + k*y + y**2. Let x(t) = t**2 - 2*t - 3. Calculate -3*r(s) + 5*x(s). 2*s**2 + 2*s Let b(s) = -24*s**3 - 8*s**2 - 8*s - 8. Let l(u) = 8*u**3 + 3*u**2 + 3*u + 3. Determine 3*b(z) + 8*l(z). -8*z**3 Let b = 3 + 0. Let l(q) = 3*q**2 + 2*q + 3. Let h be (2/(-5))/((-12)/330). Let y(f) = -f - 4 + 24*f**2 - 17*f**2 - h*f**2 - 2*f. Determine b*l(c) + 2*y(c). c**2 + 1 Let f be (6/6*0)/(2 - 3). Suppose 2*j - 5*r = 8, 4*j = -f*j + 4*r + 4. Let i(g) = -3*g - 1. Let c(z) = z. Calculate j*i(n) - 5*c(n). -2*n + 1 Let z(m) = -5*m**3 - 14*m**2 + 10*m - 5. Let w(p) = 2*p**3 + 5*p**2 - 3*p + 2. Calculate -8*w(b) - 3*z(b). -b**3 + 2*b**2 - 6*b - 1 Let u(r) = -r**2 - r - 1. Let z(p) = -12*p**2 - 11*p - 16. Give -22*u(i) + 2*z(i). -2*i**2 - 10 Let l(i) = -6*i**2 + 3*i - 3. Let r(b) = 6*b**2 - 3*b + 2. Determine -3*l(d) - 4*r(d). -6*d**2 + 3*d + 1 Let t(z) = -95*z**3 + 22*z**2 - 7*z. Let s(n) = 64*n**3 - 15*n**2 + 5*n. Calculate 7*s(f) + 5*t(f). -27*f**3 + 5*f**2 Let o(m) = -393*m + 9 - 7 + 389*m. Let j(g) = 20*g - 9. Determine 2*j(i) + 11*o(i). -4*i + 4 Let a(b) = 0 - 2 + 4 + 3 - 3 + 11*b. Let g(j) = 1. What is a(x) - 2*g(x)? 11*x Let q(w) = 22*w**2 - 11. Let h(i) be the first derivative of 7*i**3/3 - 4*i - 123. What is 11*h(f) - 4*q(f)? -11*f**2 Let d(b) = b - 1. Let k(o) be the third derivative of -o**5/20 - o**4/8 + o**3/2 + 220*o**2. Determine -6*d(w) - 2*k(w). 6*w**2 Let w = -15 - -22. Suppose 27 = -w*z - 8. Let x(f) = 3*f**2 + f + 6. Let t(j) = 2*j**2 + j + 5. What is z*t(g) + 4*x(g)? 2*g**2 - g - 1 Let f(y) = 0*y**2 + y**2 - 2*y**3 + y**3. Let a = 69 + -59. Let u(c) = a*c - 4*c**3 - 10*c + 6*c**2 + 2*c. Give 5*f(k) - u(k). -k**3 - k**2 - 2*k Let n(u) = 5*u - 9. Let g(v) = -4*v + 8. Suppose -5*m + 4*m - 5 = -y, 0 = -y + 3*m + 3. Give y*g(i) + 5*n(i). i + 3 Let l = -52 + 54. Let s(q) = -3*q + 4. Let x(w) = 4*w - 3*w - 3*w - 11*w + 17. Determine l*x(g) - 9*s(g). g - 2 Suppose f - 1 + 8 = 0. Let i(h) = -3. Let u(c) = 2*c + 15. Let k be u(-3). Let n(r) = 11 + 5 + r - k + 0*r. What is f*i(s) - 3*n(s)? -3*s Let y(m) = -m**2 + m. Let j(q) = 4*q**2 - 333*q - 1. Calculate j(d) + 2*y(d). 2*d**2 - 331*d - 1 Let a(c) = 17 + 69 + 0*c**2 - 84 - c**2. Let z(m) = -2*m**2 + 7. Give -7*a(d) + 2*z(d). 3*d**2 Let o(z) = -z + 1. Let v(t) = -2*t - 2. Suppose -49*n = -80*n + 31. Determine n*v(s) - o(s). -s - 3 Let r be 1/3*(-1 - -13). Let h(q) = -2*q**2 - 3*q - 1. Suppose 9*d - 5 = 10*d. Let p(j) = -2*j**2 - 4*j - 1. What is d*h(l) + r*p(l)? 2*l**2 - l + 1 Let k(x) be the first derivative of x**4 - x**3 - 3*x**2 - 8*x - 16. Let l(o) = -3*o**3 + 2*o**2 + 5*o + 7. Calculate -5*k(y) - 6*l(y). -2*y**3 + 3*y**2 - 2 Let g(n) = 4*n**2 + 5*n. Let t(l) = 5*l**2 + 6*l. Suppose -x = r - 82, x + 221 = 3*r - x. Let a = r + -127. Let z be (-52)/10 - 10/a. Calculate z*t(j) + 6*g(j). -j**2 Let c(f) = -1. Let i(q) be the third derivative of q**4/24 + q**3/3 - 40*q**2 - 1. What is 4*c(d) + i(d)? d - 2 Let q(j) = 80*j**2 - 7*j + 5. Let r(z) = 79*z**2 - 6*z + 4. What is -5*q(d) + 6*r(d)? 74*d**2 - d - 1 Let a be (-67)/5 + 4/10. Let k(u) = 5*u + 4. Let s be ((-36)/(-12))/9*-18. Let x(q) = -11*q - 9. What is a*k(z) + s*x(z)? z + 2 Let z(i) = 145*i**3 + 35*i**2 - 35*i. Suppose -1269 + 254 = -29*b. Let c(w) = -16*w**3 - 4*w**2 + 4*w. Determine b*c(m) + 4*z(m). 20*m**3 Let z(x) = -9*x**2 + 6*x + 7. Let a(n) = -6*n**2 + 4*n + 5. Let t(r) = r**3 + 3*r**2 - 2*r - 1. Let l be t(-3). Let f = 1114 + -1121. Determine f*a(b) + l*z(b). -3*b**2 + 2*b Let n(o) = 192*o - 5. Let x(h) = -h - 1. Determine -n(b) + 6*x(b). -198*b - 1 Suppose 2*i - 37 = -3*y - 9, 2*i - 44 = -5*y. Let q be 2/y - (-75)/100. Let d(k) = -k**3 + k**2 - k. Let a(o) = -2*o**3 + 3*o**2 - 3*o. What is q*a(t) - 3*d(t)? t**3 Let c(d) = -d**2 - d. Suppose -10*a = -7*a. Let y(x) = -2*x**2 + 1 + 3*x + 2*x - 8*x + a*x**2. Give 3*c(q) - y(q). -q**2 - 1 Let v(l) = -49 + 161 - 57 - 56. Let p(a) = -4*a + 1. Calculate -p(j) - 3*v(j). 4*j + 2 Suppose 5*v - 38 = 42. Let k(d) = -7*d + 3 - 15*d + v*d + 4*d**2. Let u(r) = -8*r**2 - 8*r**2 + 3 - 13*r + 4 + 25*r**2. Give -7*k(b) + 3*u(b). -b**2 + 3*b Let
{ "pile_set_name": "DM Mathematics" }
). -71*sqrt(7)/40 Simplify ((sqrt(2200) - (sqrt(2200) - sqrt(2200)*-2))*4)/(sqrt(36)/(sqrt(2) + sqrt(32))). -400*sqrt(11)/3 Simplify (sqrt(200) + sqrt(200) + 2 + -3 + -1*sqrt(200)*6 - (-1 + 0 + sqrt(200) - sqrt(200)*2*-1))**2. 9800 Simplify -2 + ((sqrt(931) + -1)*2 + sqrt(931) + (6*sqrt(931)*1 - sqrt(931)) + 5)**2. 336*sqrt(19) + 59591 Simplify (sqrt(20) + (sqrt(1620) + sqrt(1620)*5 - sqrt(1620)))/((5*sqrt(24))/sqrt(6)). 46*sqrt(5)/5 Simplify (sqrt(147) + sqrt(147)*6 + sqrt(147))**2 + 0 + -5*(sqrt(432)*6 + sqrt(432)). -420*sqrt(3) + 9408 Simplify (1*(sqrt(152)*3 + sqrt(152) - sqrt(152)))/(sqrt(8) + -4*sqrt(32)). -3*sqrt(19)/7 Simplify -3 + -3*(0 + (sqrt(2) - (-5 + sqrt(2) + sqrt(6)/sqrt(3))) - (sqrt(176)/(sqrt(33)/sqrt(3)))/sqrt(8))**2. -102 + 60*sqrt(2) Simplify ((sqrt(225)/(sqrt(27)/sqrt(3)))/(-1*sqrt(20)/sqrt(4)))**2 + (sqrt(405) - (sqrt(405) + 0 + 5))**2. 30 Simplify -4*(-2*2*sqrt(272) + 3 + sqrt(272)*3)**2. -1124 + 96*sqrt(17) Simplify (sqrt(26) + sqrt(156)/sqrt(96) - 2*sqrt(26)*4)/((sqrt(108)/sqrt(24))/sqrt(9)). -27*sqrt(13)/2 Simplify ((sqrt(88)/(sqrt(32)/sqrt(4)) + -5)*-1 + 4)**2 + -5. -18*sqrt(11) + 87 Simplify (sqrt(162) - (sqrt(162) + 2)*3)*-3 - (1 + (sqrt(162) + 1)**2 + (sqrt(162) - (sqrt(162) + (sqrt(162) + sqrt(162)*2 + sqrt(162) + -1 + sqrt(162))**2))). -54*sqrt(2) + 3905 Simplify (sqrt(320)/sqrt(128) - sqrt(40))/(sqrt(392) - (sqrt(392) + sqrt(392) + (sqrt(392)*-6 - sqrt(392)) - sqrt(392)) - sqrt(392))*-5. 5*sqrt(5)/56 Simplify (sqrt(10)/sqrt(72) + sqrt(30)/sqrt(216))*-5*-6. 10*sqrt(5) Simplify sqrt(12)/(sqrt(6)*2) - (6*(sqrt(2) + 0))**2 - (sqrt(250) + 3*(-1*sqrt(250) - sqrt(250)) + sqrt(250))/sqrt(5). -72 + 41*sqrt(2)/2 Simplify 1*(sqrt(475) - (sqrt(475) + sqrt(475)*-1 + sqrt(475))*6) + (sqrt(475) + 0 + -2)**2*5. -125*sqrt(19) + 2395 Simplify -3 + ((sqrt(2499) + sqrt(2499)*-1 - sqrt(204)/(sqrt(16) - sqrt(4)))/((sqrt(3) + sqrt(12))*-1 + (sqrt(48)/sqrt(4))/sqrt(4)))**2. 5/4 Simplify (4 + sqrt(1700) + sqrt(1700) + 1 + sqrt(1700) + sqrt(1700) - (3 + -2*sqrt(1700)) - -1*sqrt(1700)*5*-1)**2. 40*sqrt(17) + 1704 Simplify (sqrt(288) + sqrt(288) + -4*sqrt(288)*1 + -3 + sqrt(288) + -2 + 0)**2. 120*sqrt(2) + 313 Simplify (6*(2 + sqrt(448) + -2 + sqrt(448) - (sqrt(448) + 1 + 1)))**2. -1152*sqrt(7) + 16272 Simplify -2 + ((sqrt(176) - (-2 + sqrt(176) + 3)) + (sqrt(176) + 2 + sqrt(176))*-6)**2. 1248*sqrt(11) + 25511 Simplify 2*(1 + ((sqrt(2057) - (sqrt(2057)*-2 + sqrt(2057))) + -1)*6)**2 + -5. -2640*sqrt(17) + 592461 Simplify ((sqrt(441)/(-2*sqrt(900) + sqrt(900) - sqrt(900)))/((sqrt(84) - (-1*sqrt(84) - sqrt(84))*-4)/sqrt(12)) + -2)**2. -sqrt(7)/35 + 11201/2800 Simplify ((-6*(0 + sqrt(500)) - sqrt(500)) + 3 + (sqrt(500) - (sqrt(500) + -4 + sqrt(500))) + 2)**2. -1440*sqrt(5) + 32081 Simplify 6*(sqrt(891) + 4*-3*sqrt(891)) + 2*(5 + (sqrt(891)*-3)**2 - sqrt(891)). -612*sqrt(11) + 16048 Simplify (5 + (-1 + sqrt(117))*-5 + (-1 + sqrt(117))*5 + 2)**2. 49 Simplify (sqrt(48)/sqrt(242))/(sqrt(8) + (sqrt(800)*-4 - sqrt(800))). -sqrt(3)/539 Simplify (5*((sqrt(121)*-1 - sqrt(121))/sqrt(11) + sqrt(11)) + (1*sqrt(275) + sqrt(275) - sqrt(275) - ((sqrt(11) + 1)*6 + sqrt(11))))*6. -42*sqrt(11) - 36 Simplify sqrt(1539)*1 + sqrt(1539) + 4 + 0 + sqrt(475) + -2. 2 + 23*sqrt(19) Simplify ((2*sqrt(343) - sqrt(343))*4 - (sqrt(7) + sqrt(28)/sqrt(4)*4 - (0 + sqrt(7))*-6))**2. 2023 Simplify (((sqrt(2448)*-4 + sqrt(2448) - sqrt(2448)) + -3)**2 - -2*(sqrt(2448) + 2)**2)*-4. -176324 - 1536*sqrt(17) Simplify 1*(5*(-1*sqrt(756) + sqrt(756)) - sqrt(756))/((1*sqrt(96))/sqrt(8)). -3*sqrt(7) Simplify -5*(((-1 + sqrt(112) + sqrt(112)*3)*5)**2 + 2). -224135 + 4000*sqrt(7) Simplify (-1*sqrt(99)*6 + 1 + (3*1*sqrt(77))/(sqrt(28)/(sqrt(4) - -2*sqrt(4))))**2. -18*sqrt(11) + 892 Simplify 1 + (sqrt(1008) + 5 + sqrt(1008)*-3 - (sqrt(63) + 4 - 6*sqrt(112))). -3*sqrt(7) + 2 Simplify 5 + (sqrt(45) + 1)*4 + (sqrt(45) - (sqrt(180) - (-1*sqrt(180) + sqrt(180)))/sqrt(4))/(sqrt(81) - (sqrt(81) + sqrt(81)*2)). 9 + 12*sqrt(5) Simplify ((sqrt(66)/sqrt(2))/sqrt(3) + -3 + sqrt(1100) + 0)**2. -66*sqrt(11) + 1340 Simplify (-1 + 4 + -1*sqrt(75)*-6*-2)**2. -360*sqrt(3) + 10809 Simplify (sqrt(750) - (sqrt(750) + 4*-1*sqrt(750) + sqrt(750)))/((sqrt(90) + sqrt(90)*2 + sqrt(90) + sqrt(90))*3 + sqrt(90) - sqrt(90))*-3. -sqrt(3) Simplify 3*((sqrt(891) - 2*sqrt(891)*4 - sqrt(891)) + -2). -216*sqrt(11) - 6 Simplify 0 + sqrt(78)/(sqrt(150) - (sqrt(150) - sqrt(150)*2) - sqrt(150)) + ((sqrt(13) - (0 + sqrt(13))**2)*4 - (sqrt(117)/(sqrt(27)/sqrt(3)))**2). -65 + 21*sqrt(13)/5 Simplify (-1 + sqrt(22)/sqrt(2))*-2 - (sqrt(11) + 2)*2*-5. 22 + 8*sqrt(11) Simplify (sqrt(300) + ((2*sqrt(300) + sqrt(300))*5 - sqrt(300) - sqrt(300)))/(sqrt(8)/(-1*sqrt(50))). -350*sqrt(3) Simplify ((sqrt(208)/sqrt(4) - sqrt(78)/(sqrt(6)*-2 - sqrt(6))) + -5)**2. -70*sqrt(13)/3 + 862/9 Simplify (-3 + 1*(-4 + 6*sqrt(405)*-2 + sqrt(405))*-2)**2. 1980*sqrt(5) + 196045 Simplify (4*2*sqrt(228) + (sqrt(228)*-1 - sqrt(228))*-4)/(-1*sqrt(36)/sqrt(3) + -6*(sqrt(12) + sqrt(12)*-1)). -16*sqrt(19) Simplify -2 + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) - (1*sqrt(2736) + 3) - sqrt(2736) - sqrt(2736))**2) - (sqrt(2736) + -2*sqrt(2736) + 3)) + -2 + 1. 156*sqrt(19) + 10947 Simplify (3 + (sqrt(260)/sqrt(5) + sqrt(52) + sqrt(52))/sqrt(4) + (-1*sqrt(1872))**2*3 + -1)*-1. -5618 - 3*sqrt(13) Simplify (sqrt(242) - (-5 + -2 + sqrt(242)))**2 + (sqrt(242) - 1*(sqrt(242) + 2))**2 + 4. 57 Simplify 1 + ((-1*sqrt(891))**2*6 - 3*(0 + sqrt(891)) - (2*(1 + sqrt(891)) - (0 + sqrt(891))*-2)). -63*sqrt(11) + 5345 Simplify -5*(6*-4*(sqrt(76) + (sqrt(76) - (sqrt(76) - 1*sqrt(76)*-1)) + sqrt(76))*5)**2. -5472000 Simplify -2 + sqrt(112) + 4*sqrt(112) + -1*(sqrt(448) + sqrt(448) + 1). -3 + 4*sqrt(7) Simplify ((-2*(-1 + sqrt(720)) + sqrt(720) - (sqrt(720) + (sqrt(720) - 6*-1*sqrt(720) - sqrt(720)) + sqrt(720)))*1 + -4)**2. 432*sqrt(5) + 58324 Simplify 1*(-5 + 1*(sqrt(108) + 3*((1*sqrt(108) - sqrt(108))**2 + sqrt(108)))*2). -5 + 48*sqrt(3) Simplify (sqrt(98)*-4 + 1)**2*-5 + -5. -7850 + 280*sqrt(2) Simplify 4 + (4*sqrt(1584)*-2)**2 + -1*sqrt(1584)*4. -48*sqrt(11) + 101380 Simplify 4*(sqrt(102)/sqrt(6) + 1 + -1 - (0 + sqrt(1377) + -1*sqrt(1377)))**2. 68 Simplify (2*(sqrt(176) - -5*1*sqrt(176)) + 1)**2 + -1. 96*sqrt(11) + 25344 Simplify (6*sqrt(171)*4 - sqrt(171))/(-1*sqrt(45)/sqrt(5))*6. -138*sqrt(19) Simplify (2*sqrt(209)*-1 + sqrt(209) + sqrt(209))/(sqrt(275)*1). 0 Simplify ((((sqrt(13) + 0)*-6 - sqrt(13)) + -3 + sqrt(13) + 1 - (sqrt(208) + -2)*1) + 0)**2. 1300 Simplify (-1*-4*sqrt(21))/sqrt(3) + (0 + sqrt(35)/sqrt(5) + -1)**2. 2*sqrt(7) + 8 Simplify -1 + 1 + (1*-3*sqrt(170))/(-5*sqrt(10)*2). 3*sqrt(17)/10 Simplify -2 + (6*(sqrt(170) - -2*sqrt(170)*1)/(sqrt(110)/(sqrt(99)/sqrt(9))))**2. 5506 Simplify -5*(sqrt(132)/(sqrt(12)*3 + sqrt(12)) + sqrt(11)) + ((sqrt(110)/(sqrt(2) - sqrt(18)))/sqrt(5))**2. -25*sqrt(11)/4 + 11/4 Simplify 5 + sqrt(21)/(-1*sqrt(3)) - (sqrt(756)/sqrt(108))**2. -sqrt(7) - 2 Simplify (((sqrt(35)*-1 + sqrt(35))/sqrt(5))**2 - (sqrt(448) + sqrt(7))*-4) + 4. 4 + 36*sqrt(7) Simplify (sqrt(110)/(sqrt(5)*2))/(sqrt(22)/(sqrt(2)*1)). sqrt(2)/2 Simplify (-1*sqrt(147))**2*2 + sqrt(1188)/sqrt(11)*-6. -36*sqrt(3) + 294 Simplify (sqrt(385)/(sqrt(11)*-2))/(sqrt(180)/sqrt(4)) + 4. -sqrt(7)/6 + 4 Simplify ((sqrt(3648)*-3)/(sqrt(363) - -4*sqrt(363)))**2. 10944/3025 Simplify (sqrt(833) + 3 + sqrt(833))**2 + -5 + ((-1 + sqrt(272) - sqrt(272)) + -2)**2 + -4. 84*sqrt(17) + 3341 Simplify (-2*sqrt(132)*1)/(sqrt(588)*3 + sqrt(588) - sqrt(588)) + 0. -2*sqrt(11)/21 Simplify sqrt(133)/(sqrt(28)/sqrt(4)) + -5 - (-5 + 2*sqrt(19) + sqrt(76)/sqrt(4)*-4)**2. -106 - 19*sqrt(19) Simplify ((1*sqrt(91)*4 + (sqrt(91)*-1 + sqrt(91))*-1)/((-2*sqrt(5040) + sqrt(5040))/sqrt(5)))**2. 13/9 Simplify 3*(0 + sqrt(7) + 2) + sqrt(504)/(sqrt(8) + 1*sqrt(8)). 6 + 9*sqrt(7)/2 Simplify (((sqrt(136) + 2*sqrt(136))/sqrt(4) - sqrt(34))/((sqrt(18)/sqrt(3))/sqrt(3))*-6)**2 + -4. 2444 Simplify (((-2 + sqrt(1053))*-3 - (2*sqrt(1053)*1 + sqrt(1053)))*-2)**2*-3. -455328 + 7776*sqrt(13) Simplify ((sqrt(50) + 2)*-6 - 3*2*sqrt(2)*3)**2. 1152*sqrt(2) + 4752 Simplify ((sqrt(264)/(sqrt(600)/sqrt(2)))/((sqrt(36)/sqrt(24))/sqrt(3)))**2. 44/25 Simplify -5 + (sqrt(27)/(-3*-1*sqrt(9)) - (2 + (-1 + sqrt(363))**2)). -371 + 67*sqrt(3)/3 Si
{ "pile_set_name": "DM Mathematics" }
360*m - 462 Let p = -196 - -188. Let o(d) = -47*d + 144. Let k(z) = 71*z - 216. Let n(q) = p*o(q) - 5*k(q). Differentiate n(b) with respect to b. 21 Suppose 3*x = 5*g + 83 - 16, 2*g = -10. Let p = x + -12. What is the third derivative of -34*m**4 + 41*m**2 - 31*m**p - 25*m**2 wrt m? -816*m Find the third derivative of -249*j**4 - 164*j**6 + 122*j**2 - 277*j**2 - 462*j**2 + 167*j**6 wrt j. 360*j**3 - 5976*j Let r = 53 - 51. What is the third derivative of 0*d**2 - 73*d**5 + 9*d**2 + 16*d - 10*d**r wrt d? -4380*d**2 Let i(w) be the second derivative of 5*w**7/21 + w**6/5 + w**5/10 - 605*w**4/2 - 9123*w. What is the third derivative of i(d) wrt d? 600*d**2 + 144*d + 12 Suppose 0 = -4*g + 5*f - 4 + 12, 2*g = -3*f + 4. Find the second derivative of 75*d - d**3 - 6*d**2 + 0*d**3 + 4*d**g - 17*d**2 wrt d. -6*d - 38 Let d be 3/2 - 51/(-102). Find the second derivative of -30 - d*n + 43*n**5 + 52*n**5 - 15*n**5 - 8*n**5 wrt n. 1440*n**3 Suppose 16*h - y = 11*h + 15, y = -4*h + 21. What is the first derivative of -550 + 83*l**h + 340 + l**2 - l**2 wrt l? 332*l**3 Let m(u) be the first derivative of -u**4/4 + 1249*u**2 + 241*u + 1959. Differentiate m(y) with respect to y. -3*y**2 + 2498 Let c = 156 + -110. Find the second derivative of -15*y + c*y - 9*y - 26*y**3 wrt y. -156*y Suppose 0 = 5*w + 131 - 141. What is the third derivative of -30*q**3 + 4*q + 20*q**2 - 7*q + 0*q**2 + w*q wrt q? -180 Let m = -2501 + 2501. Let i(s) be the third derivative of m*s**4 + 0 - 31/60*s**5 + 3/2*s**3 + 0*s - 30*s**2. What is the first derivative of i(w) wrt w? -62*w Suppose 3*s + 52 = -4*i, -s + 4*i + 5 = 1. Let l = s - -15. Find the third derivative of -18*q**5 - 201*q**l + 19*q**2 + 201*q**3 wrt q. -1080*q**2 Let u be 38/10 + 24/120. Find the third derivative of -2*d**4 + 62*d + 24*d**2 + 40*d**6 + 0*d**u - 62*d wrt d. 4800*d**3 - 48*d Let h(j) be the second derivative of 0 - 7/30*j**6 - 14/3*j**4 + 0*j**2 + 1/5*j**5 + 0*j**3 + 55*j. Find the third derivative of h(p) wrt p. -168*p + 24 Let t(w) be the first derivative of 103*w**3 + w**2/2 - 203*w + 10. What is the second derivative of t(o) wrt o? 618 Let q(f) = -6 - 6*f**3 + 4*f**3 - 2*f - 2*f**3 + 20. Let b(z) = -z**3 + z**2 - z + 1. Let s(y) = 2*b(y) - q(y). Differentiate s(h) with respect to h. 6*h**2 + 4*h Let m(p) be the third derivative of -4237*p**4/24 - 4493*p**3/6 - 495*p**2 + 3. Differentiate m(g) with respect to g. -4237 Let m(g) = g**2 - 7*g - 2. Suppose 0 = 8*r - 5*r - 24. Let d be m(r). What is the third derivative of 11*y**2 + 202*y**5 + 14*y**d - 202*y**5 wrt y? 1680*y**3 Suppose 6 = 9*m - 12. What is the first derivative of -88 - 52 + 110 - b + 89*b**m wrt b? 178*b - 1 Let j be 24*2 + 0/(3 - 11). Let c = 51 - j. Find the third derivative of 8*f**6 + 44*f**c + 14*f**6 - 15*f**2 - 44*f**3 wrt f. 2640*f**3 Let q(z) be the first derivative of 214*z**5 - z**4/4 - 765*z**2 + 171. Find the second derivative of q(u) wrt u. 12840*u**2 - 6*u Let i(j) = 301*j**4 + 2*j**3 + 1013*j**2. Let r(q) = -1206*q**4 - 9*q**3 - 4053*q**2. Let w(d) = -9*i(d) - 2*r(d). Find the third derivative of w(u) wrt u. -7128*u Let y(w) be the second derivative of -289*w**3 + 440*w**2 - 4*w - 85. What is the first derivative of y(f) wrt f? -1734 Let i(d) be the third derivative of -3271*d**8/112 + 245*d**4/8 - 2*d**3/3 - 8*d**2 + 13. What is the second derivative of i(o) wrt o? -196260*o**3 Let o = 14 - -42. Suppose o = 8*v - 224. What is the third derivative of 293 - 150 - 143 - 28*g**2 - v*g**3 wrt g? -210 Suppose -j = -b + 4, 0 = b - 7*j + 3*j - 1. Suppose -b*x = -g + 2 + 1, x = -2*g + 6. What is the third derivative of 56*p**g - 11*p**2 - 4*p**2 - 80*p**3 wrt p? -144 Let h(j) be the third derivative of -55*j**7/7 - j**4/24 + 19*j**3/6 + 810*j**2. Find the second derivative of h(a) wrt a. -19800*a**2 Let g(x) = 179*x**2 - 50*x - 24. Let a(d) = 17*d**2 + 3*d + 2. Let o(c) = -66*a(c) - 6*g(c). What is the second derivative of o(q) wrt q? -4392 Let j(i) be the third derivative of i**8/336 - i**7/7 + 3*i**5/10 + i**3/6 + 601*i**2 - 1. Find the third derivative of j(z) wrt z. 60*z**2 - 720*z Let d = 120 + -116. Let p = d + -2. What is the second derivative of 15*j**2 - 8*j**p + 39*j - 24*j**2 - 7*j wrt j? -34 Suppose 6*w - 8 = 2*w. Find the third derivative of 30*d**4 + 8*d**4 - 5*d**3 + 3*d**3 - 23*d**w wrt d. 912*d - 12 Suppose -6*i + 13 = 79. Let c = i - -28. Find the second derivative of 30*j**5 + c*j + 1 - 6 + 5 wrt j. 600*j**3 Let j(u) = 14*u**4 + u**3 + u**2. Let q(v) = -1429*v**4 + 3*v**3 + 3*v**2 + 5439. Let c(x) = 3*j(x) - q(x). What is the derivative of c(a) wrt a? 5884*a**3 Let n = 189 + -187. Find the second derivative of 0 - 1 + 7*u + 89*u**n + 13*u**2 - u - 21*u**2 wrt u. 162 Suppose -12 = -3*a, -j - 4*a = a - 53. Find the third derivative of b**2 + 63*b**6 - 2*b**2 + 35*b + 19*b - j*b wrt b. 7560*b**3 Let x(j) = -4206*j**4 + 36*j**3 - 6*j**2 + 1157. Let h(z) = z**4 - 6*z**3 + z**2 + 2. Let w(v) = 6*h(v) + x(v). What is the first derivative of w(s) wrt s? -16800*s**3 Let f(r) be the second derivative of -603*r**3/2 + 1165*r**2/2 + 4436*r. Differentiate f(p) with respect to p. -1809 Let l(x) = -74*x**2 - 3*x - 3. Let z(t) = -73*t**2 - 5*t - 2. Suppose -4*n + 36 = 5*n. Let b(i) = n*z(i) - 3*l(i). Find the second derivative of b(v) wrt v. -140 Let g(u) = -33434*u**2 + 26767. Let i(n) = 8356*n**2 - 6691. Let z(w) = 2*g(w) + 9*i(w). Differentiate z(f) with respect to f. 16672*f Let q(o) be the second derivative of -296*o**6/15 - o**3/3 + 235*o**2/2 - 6*o + 18. Find the second derivative of q(a) wrt a. -7104*a**2 Let q(o) = 4135*o**2 + 6880*o + 25. Let t(f) = -f**2 - 1. Let w(x) = -q(x) - 25*t(x). Find the second derivative of w(h) wrt h. -8220 Let t(n) be the third derivative of 137*n**5/30 - 841*n**3/6 - 14*n**2 + 51. Differentiate t(m) wrt m. 548*m Let i(y) be the third derivative of 3095*y**4/12 + 12175*y**3/6 - 165*y**2 + 16*y - 1. What is the first derivative of i(t) wrt t? 6190 Let w(m) = 2*m**2 + 2*m - 17. Let n(l) = -l**2 + l. Let k(j) = n(j) + w(j). Let x be k(-6). Differentiate -839*q**2 + 814*q**2 - 8 - x wrt q. -50*q Let j(t) be the first derivative of -t**5/5 - 76*t**4 - 370*t**3/3 - 3*t - 1927. What is the third derivative of j(p) wrt p? -24*p - 1824 Suppose -4*i = 4*q - 12, 2*i - 3*i = -5*q + 3. Find the third derivative of 3740 - i*z**4 - 3740 - 49*z**3 - 3*z**2 wrt z. -48*z - 294 Suppose -2*k = 5*k. Let l be 2 + -1 - -3 - (0 - k). Find the second derivative of -4*d**4 + 25*d + 2*d**l - 11*d**4 + 10*d**4 wrt d. -36*d**2 Let p = -329 - -234. Let u be (-4 - p/20)/(2/24). Find the third derivative of 10*h**2 - u*h**3 + 9*h - 9*h - 3*h**2 wrt h. -54 Suppose 6*y = -391 + 427. Find the third derivative of 65 - 60*b**6 - 46*b**y + 131*b**6 - 2*b**2 wrt b. 3000*b**3 Let v(i) be the third derivative of 0 - 4*i**2 + 32/3*i**3 + 0*i**4 - 6*i + 0*i**5 - 31/60*i**6. What is the derivative of v(t) wrt t? -186*t**2 Let t(q) = q**2 - 2*q - 4. Let s(n) = -1413*n**2 - 1326*n - 20. Let y(o) = s(o) - 5*t(o). Find the second derivative of y(h) wrt h. -2836 Let x(k) = 107*k**3 + k**2 - 3*k + 3. Let v be x(1). Let y = -86 + v. Find the second derivative of -234 + 22*l + y*l**2 + 234 wrt l. 44 Suppose 0 = -5*u + 2*b + 26457, 21180 = 4*u - 4*b + 6*b. Find the second derivative of 24*s + 5293 - u + 55*s**2 wrt s. 110 Let y(u) be the third derivative of 286*u**9/63 - u**5/30 + 398*u**3/3 - 278*u**2 + 3. Find the third derivative of y(g) wrt g. 274560*g**3 Suppose p - z + 2 = -5*z, 0 = -3*p - 2*z - 6. Let r be 10*9/((-45)/p). What is the second derivative of 5*l**r + 2*l**4 - 5*l - 15*l wrt l? 84*l**2 Let o(k) be the first derivative of -11/2*k**4 + 0*k**2 - 63 + 35/3*k**3 + 0*k. Find the third derivative of o(x) wrt x. -132 What is the second derivative of -1510*s**4 + 2049*s**4 + 2432*s**4 - 1725*s wrt s? 35652*s**2 Let d(m) be the second derivative of 413*m**6/30 - m**4/6 + 76*m**3 + 259*m. Find the second derivative of d(g) wrt g. 4956*g**2 - 4 Find the third derivative of -17166*k**2 + 8*k**3 - 216*k**4 + k**3 + 6702*k**2 + 104*k**4 + 11*k**6 - 12*k**3 wrt k. 1320*k**3 - 2688*k - 18 Let f(t) be the third derivative of 461*t**5/20 + 3757*t**4/12 + 2097*t**2. Find the second derivative of f(o) wrt o. 2766 Suppose -10*o - 23 = -93.
{ "pile_set_name": "DM Mathematics" }
y decades are there in 7309.691 years? 730.9691 Convert 0.2059778 days to weeks. 0.0294254 What is 3/5 of a meter in centimeters? 60 Convert 55031.64 months to millennia. 4.58597 How many litres are there in 23.13644 millilitres? 0.02313644 What is 7.007074 decades in millennia? 0.07007074 How many meters are there in thirteen quarters of a kilometer? 3250 Convert 74.67564ng to micrograms. 0.07467564 What is fourty-three quarters of a year in months? 129 What is 11/10 of a kilogram in grams? 1100 What is 33/5 of a gram in milligrams? 6600 What is thirteen fifths of a decade in months? 312 Convert 125718.993 milliseconds to days. 0.0014550809375 Convert 43253.06 days to seconds. 3737064384 How many grams are there in 3/32 of a tonne? 93750 How many litres are there in 34.03345 millilitres? 0.03403345 What is 27/2 of a litre in millilitres? 13500 What is five sixths of a millennium in months? 10000 Convert 6329.327nm to millimeters. 0.006329327 How many months are there in seventeen quarters of a millennium? 51000 How many nanoseconds are there in 81/4 of a microsecond? 20250 Convert 8311.208 grams to micrograms. 8311208000 What is 7470.467 millilitres in litres? 7.470467 What is seventeen quarters of a meter in centimeters? 425 What is 31/6 of a year in months? 62 Convert 2338098.9 months to centuries. 1948.41575 What is 3/50 of a microgram in nanograms? 60 What is eighteen fifths of a millennium in months? 43200 How many micrometers are there in three eighths of a centimeter? 3750 Convert 16259.75 centimeters to micrometers. 162597500 How many meters are there in 1/20 of a kilometer? 50 How many micrometers are there in 29/2 of a millimeter? 14500 What is 9.203045 centuries in months? 11043.654 How many minutes are there in 23/6 of a week? 38640 What is 64.77438 millilitres in litres? 0.06477438 How many nanometers are there in seventy-two fifths of a micrometer? 14400 How many micrograms are there in 4.389693 kilograms? 4389693000 Convert 6091.152 centuries to millennia. 609.1152 How many millilitres are there in 3/5 of a litre? 600 How many centimeters are there in 489.6248nm? 0.00004896248 How many nanoseconds are there in 3.715052 minutes? 222903120000 What is eleven halves of a centimeter in micrometers? 55000 Convert 2006.9 micrograms to grams. 0.0020069 What is 11/8 of a week in hours? 231 What is one tenth of a kilometer in millimeters? 100000 Convert 993.8382kg to nanograms. 993838200000000 How many nanoseconds are there in twenty-one halves of a microsecond? 10500 Convert 3.841901km to nanometers. 3841901000000 Convert 407.9595cm to millimeters. 4079.595 Convert 5.581207ml to litres. 0.005581207 Convert 46.7261g to tonnes. 0.0000467261 What is 6217.137 millimeters in meters? 6.217137 What is 37250.58 millilitres in litres? 37.25058 How many hours are there in eight sevenths of a week? 192 What is 919.4213 grams in milligrams? 919421.3 What is 6/25 of a micrometer in nanometers? 240 Convert 1063.011ml to litres. 1.063011 What is twenty-one eighths of a litre in millilitres? 2625 What is 7/4 of a gram in milligrams? 1750 How many grams are there in 11/8 of a kilogram? 1375 What is 58.42506 microseconds in seconds? 0.00005842506 How many nanometers are there in 6/25 of a micrometer? 240 Convert 220.170123ns to days. 0.0000000000025482653125 How many seconds are there in 14/9 of a hour? 5600 How many months are there in 0.2241461 millennia? 2689.7532 What is 1/15 of a decade in months? 8 What is 2412.56637 nanoseconds in days? 0.000000000027923221875 What is 7/4 of a centimeter in micrometers? 17500 What is 9.776493 millilitres in litres? 0.009776493 How many millilitres are there in seven halves of a litre? 3500 How many seconds are there in 1/27 of a day? 3200 How many years are there in seven halves of a decade? 35 What is 0.59276 decades in millennia? 0.0059276 What is 6/5 of a litre in millilitres? 1200 How many minutes are there in five eighths of a week? 6300 How many meters are there in thirty-seven fifths of a kilometer? 7400 How many nanograms are there in thirteen quarters of a microgram? 3250 How many kilometers are there in 1971.063cm? 0.01971063 What is one sixth of a year in months? 2 Convert 8508.859 meters to micrometers. 8508859000 How many kilograms are there in 880372.9ng? 0.0000008803729 What is 269721.3 months in decades? 2247.6775 How many hours are there in 19.987776ns? 0.00000000000555216 Convert 0.1736563 decades to years. 1.736563 What is 15/4 of a year in months? 45 What is 109606.2 millennia in centuries? 1096062 What is 0.8246557ug in nanograms? 824.6557 What is 1/5 of a day in seconds? 17280 What is 73.624l in millilitres? 73624 How many hours are there in 312476.4ms? 0.086799 Convert 9404.05 litres to millilitres. 9404050 Convert 957.3286ml to litres. 0.9573286 Convert 2907.169 days to microseconds. 251179401600000 Convert 9.5622 hours to microseconds. 34423920000 How many seconds are there in 1/5 of a minute? 12 What is 1/30 of a millennium in months? 400 Convert 22697.67ug to milligrams. 22.69767 Convert 0.393805 microseconds to seconds. 0.000000393805 How many micrometers are there in 0.0211936 kilometers? 21193600 Convert 0.8031368g to tonnes. 0.0000008031368 What is five sixths of a day in hours? 20 What is 7/2 of a litre in millilitres? 3500 Convert 93539.3km to nanometers. 93539300000000000 What is 7/4 of a millennium in years? 1750 How many centimeters are there in fifty-one fifths of a meter? 1020 How many kilograms are there in fourty-eight fifths of a tonne? 9600 What is 0.6899053 litres in millilitres? 689.9053 What is fourty-four fifths of a litre in millilitres? 8800 How many centimeters are there in 6089.795 micrometers? 0.6089795 How many kilograms are there in 978.9035ng? 0.0000000009789035 What is 262561.5 millennia in decades? 26256150 How many micrometers are there in 95048.84 centimeters? 950488400 How many micrograms are there in fourty-five quarters of a milligram? 11250 Convert 1895.74ml to litres. 1.89574 How many milliseconds are there in 1/6 of a minute? 10000 What is one tenth of a gram in micrograms? 100000 What is three tenths of a gram in milligrams? 300 What is 341157.3 kilograms in micrograms? 341157300000000 Convert 394.665ug to grams. 0.000394665 How many millimeters are there in 28.06203cm? 280.6203 How many micrograms are there in 43/4 of a milligram? 10750 What is sixty-four fifths of a milligram in micrograms? 12800 How many centimeters are there in 0.7058593um? 0.00007058593 Convert 0.4321964um to centimeters. 0.00004321964 How many milligrams are there in 6257.073 nanograms? 0.006257073 What is one sixth of a week in minutes? 1680 How many meters are there in 3/5 of a kilometer? 600 What is seventy-six fifths of a litre in millilitres? 15200 How many nanograms are there in 7/4 of a microgram? 1750 How many millilitres are there in 61/4 of a litre? 15250 What is 6/5 of a gram in milligrams? 1200 What is 720107.1 nanometers in micrometers? 720.1071 Convert 0.1588905kg to milligrams. 158890.5 How many millilitres are there in 21/4 of a litre? 5250 How many centuries are there in 9754.732 years? 97.54732 What is eleven halves of a centimeter in micrometers? 55000 How many years are there in 77/2 of a decade? 385 How many minutes are there in 10/3 of a hour? 200 What is one quarter of a year in months? 3 What is seventy-three quarters of a meter in millimeters? 18250 What is 3/25 of a millimeter in micrometers? 120 How many millilitres are there in 37664.78 litres? 37664780 What is 2706.6078ms in hours? 0.0007518355 How many milligrams are there in 21/2 of a gram? 10500 How many years are there in one fifth of a century? 20 What is 0.4551098 kilometers in micrometers? 455109800 How many months are there in 7/6 of a century? 1400 How many centimeters are there in 8645.985mm? 864.5985 How many millilitres are there in fourty-four fifths of a litre? 8800 How many kilograms are there in one quarter of a tonne? 250 How many millilitres are there in thirteen fifths of a litre? 2600 How many months are there in 5/4 of a year? 15 What is 17/4 of a litre in millilitres? 4250 What is twenty-one fifths of a kilogram in grams? 4200 How many grams are there in 3/32 of a tonne? 9
{ "pile_set_name": "DM Mathematics" }
+ 7351*n**4/2 + 29394*n**3 + 44066*n**2/3 - 176360*n = 0. -22045, -6, -4, 0, 2 What is j in -4*j**4 - 26584*j**3 - 556944*j**2 - 2941864*j - 2411500 = 0? -6625, -13, -7, -1 Let z**2/4 + 3231*z/2 + 9378461/4 = 0. Calculate z. -4261, -2201 Factor 33*u**4 + 2847*u**3 + 80475*u**2 + 748125*u. 3*u*(u + 25)**2*(11*u + 399) Factor 4*y**2/7 - 56738936*y/7 + 32422240. 4*(y - 14184730)*(y - 4)/7 Solve -27*o**5 - 77835627*o**4 - 155671074*o**3 + 207561502*o**2 - 74952771*o + 8648397 = 0. -2882799, -3, 1/3 Solve 3*d**5 + 516*d**4 + 12186*d**3 + 64320*d**2 + 53475*d - 130500 = 0 for d. -145, -20, -5, -3, 1 Factor -h**2/6 - 352523*h/6 + 235018. -(h - 4)*(h + 352527)/6 Let -5*c**5 - 16700*c**4 - 9921060*c**3 - 1641083830*c**2 + 9921065*c + 1641100530 = 0. What is c? -2634, -353, -1, 1 Suppose -2*f**4/3 - 554*f**3/3 - 13844*f**2 - 146760*f - 421200 = 0. What is f? -135, -130, -6 Factor i**3 - 97118*i**2 - 194239*i - 97120. (i - 97120)*(i + 1)**2 Find k, given that 2*k**2/11 - 144696*k/11 - 81950840/11 = 0. -562, 72910 Suppose 81*n**4 + 58335552*n**3 - 58335606*n**2 + 19445208*n - 2160579 = 0. Calculate n. -720193, 1/3 Determine h so that 5*h**3 + 65055*h**2 - 31887300*h + 31822240 = 0. -13484, 1, 472 Suppose -u**5/3 - 2780*u**4/3 - 1932445*u**3/3 + 6888970*u**2/3 + 10444700000*u/3 + 292098748192/3 = 0. What is u? -1388, -43, 82 Find w such that -31945*w**5 + 21658720*w**4 + 108989560*w**3 + 65708690*w**2 - 196386495*w + 61470 = 0. -3, 2/6389, 1, 683 Determine w, given that -2*w**2/3 - 14316*w + 65310800/3 = 0. -22900, 1426 Factor -3*p**3 - 19725*p**2 + 2724216*p - 93094992. -3*(p - 68)**2*(p + 6711) Factor -3*q**2/5 + 20214*q/5 - 181683/5. -3*(q - 6729)*(q - 9)/5 Let -10*i**5/17 - 676544*i**4/17 - 11439546546*i**3/17 + 109878622268*i**2/17 - 57232647104*i/17 - 41205752064/17 = 0. What is i? -33832, -2/5, 1, 9 Factor -47*g**2/3 + 14416*g/3 + 4821. -(g + 1)*(47*g - 14463)/3 Let -5*y**3 - 2402255*y**2 - 9608880*y + 28826820 = 0. What is y? -480447, -6, 2 Let 3*f**5/8 - 225093*f**4/8 + 527709156*f**3 + 2659737861*f**2 - 384456888270*f + 3414134585862 = 0. Calculate f. -33, 14, 37518 Factor -y**4/10 + 242*y**3 - 646653*y**2/10 + 22970367*y/5. -y*(y - 2126)*(y - 147)**2/10 Find s, given that 4*s**2 + 23290440*s - 139742784 = 0. -5822616, 6 Factor r**3 - 439*r**2 + 11164*r + 3823104. (r - 384)*(r - 131)*(r + 76) Determine r so that -2*r**2/3 - 6290*r/3 + 1873564 = 0. -3871, 726 Suppose -2*m**3 - 344588*m**2 - 14837096274*m + 475140004416 = 0. Calculate m. -86163, 32 Find i such that 5*i**5 + 345*i**4 + 5270*i**3 + 26880*i**2 + 44000*i = 0. -50, -11, -4, 0 Solve -x**2 + 166970514*x - 6969788136356049 = 0 for x. 83485257 Let 5*q**4 + 1755*q**3 + 150650*q**2 + 4747680*q + 50277920 = 0. Calculate q. -242, -53, -28 Factor -4*y**3 - 26648*y**2 - 372340*y - 345696. -4*(y + 1)*(y + 13)*(y + 6648) Factor -2*l**3 + 1178*l**2 - 39028*l + 137392. -2*(l - 554)*(l - 31)*(l - 4) Factor 4*b**3 - 1696*b**2 - 4724*b + 1285200. 4*(b - 425)*(b - 27)*(b + 28) Determine t, given that 12*t**3 + 21232*t**2 - 270644*t + 392040 = 0. -1782, 5/3, 11 Factor 2*m**2/7 - 8608016*m/7 + 8608014/7. 2*(m - 4304007)*(m - 1)/7 Let 9*g**4 - 90600*g**3 + 9827229*g**2 + 3285810*g = 0. Calculate g. -1/3, 0, 110, 9957 Suppose 5*p**5 - 32675*p**4 + 31594610*p**3 - 8294971110*p**2 - 16684856775*p - 8358258375 = 0. What is p? -1, 555, 5427 Factor 2*a**2/7 - 1488002*a/7 + 2975948. 2*(a - 743987)*(a - 14)/7 What is d in -4*d**3/7 - 3988*d**2/7 - 111680*d - 1547600/7 = 0? -730, -265, -2 Determine x, given that -2*x**5/7 - 156*x**4/7 - 3718*x**3/7 - 3908*x**2 - 77760*x/7 - 73408/7 = 0. -37, -31, -4, -2 Factor -3*s**3/7 + 338901*s**2/7 + 46132152*s/7 + 1568964816/7. -3*(s - 113103)*(s + 68)**2/7 Factor 5*o**3 - 728800485*o**2 + 26557506982411515*o + 26557507711212005. 5*(o - 72880049)**2*(o + 1) Determine p so that -3*p**2 - 217437*p + 34429938 = 0. -72637, 158 Find c such that c**4/2 + 93*c**3 - 1958855*c**2/2 + 475715994*c - 3282053110 = 0. -1685, 7, 746 Suppose -4*b**4 - 832*b**3 + 926336*b**2 + 100838400*b - 58757760000 = 0. Calculate b. -404, 300 Factor -3*s**2/2 - 24000*s - 2337594. -3*(s + 98)*(s + 15902)/2 Suppose -3956*f**5/5 + 387712*f**4/5 - 153172*f**3 + 384408*f**2/5 - 2304*f/5 = 0. What is f? 0, 6/989, 1, 96 Solve 5*y**2/4 - 37354480*y + 279071435214080 = 0. 14941792 Determine y so that 5*y**4/4 + 55565*y**3 + 1110960*y**2 + 7109440*y + 14218240 = 0. -44432, -8, -4 Factor -2*m**2 - 631306*m. -2*m*(m + 315653) Factor 3*v**2 + 17475159*v - 34950330. 3*(v - 2)*(v + 5825055) Suppose 2*n**2 + 566930*n + 1133852 = 0. Calculate n. -283463, -2 Let -314*v**4 + 760*v**3 + 2562*v**2 - 6840*v + 2376 = 0. What is v? -3, 66/157, 2, 3 Factor 2*z**2/11 - 822572*z/11 + 2467698/11. 2*(z - 411283)*(z - 3)/11 Determine y so that 2*y**3/5 + 5426236*y**2/5 + 10852466*y/5 + 5426232/5 = 0. -2713116, -1 Find p, given that -3*p**2 + 383568*p - 2684829 = 0. 7, 127849 Factor -3*w**2/8 - 1877658*w - 2350399709976. -3*(w + 2503544)**2/8 Factor -2*g**2/19 - 174840*g - 136196998/19. -2*(g + 41)*(g + 1660939)/19 Factor -3*n**2/2 + 110733*n/2 - 9643200. -3*(n - 36736)*(n - 175)/2 Solve p**2/5 + 28518*p/5 - 3551608/5 = 0. -28642, 124 Solve x**5/6 - 1645*x**4/3 + 111133*x**3/6 - 699602*x**2/3 + 3877090*x/3 - 7977200/3 = 0 for x. 7, 10, 3256 Factor b**3 + 7896*b**2 - 4663849*b - 4671744. (b - 553)*(b + 1)*(b + 8448) Determine y, given that 234*y**5 + 5217*y**4 + 34044*y**3 + 55923*y**2 - 70578*y - 24840 = 0. -12, -6, -5, -23/78, 1 Let -10*f**2/11 - 93603578*f/11 + 18720716/11 = 0. Calculate f. -9360358, 1/5 Suppose -25*t**5 + 68465*t**4 - 516835*t**3 - 5609665*t**2 - 6936040*t - 1911700 = 0. Calculate t. -5, -1, -2/5, 14, 2731 Find o such that -450*o**2/7 - 1422826320*o/7 - 1124685964935968/7 = 0. -23713772/15 Factor 4*v**3 - 8400*v**2 - 1930324*v. 4*v*(v - 2309)*(v + 209) Factor 13778*i**3 + 833652*i**2 + 419202*i + 52920. 2*(i + 60)*(83*i + 21)**2 Factor 2629850*q**2 + 5259665*q/2 - 35/2. 5*(q + 1)*(1051940*q - 7)/2 Find x such that 48*x**5 - 267480*x**4 - 1204605*x**3 - 151065*x**2 + 2710665*x - 1355211 = 0. -3, 3/4, 5577 Let -4*w**4 - 17196*w**3 + 1545332*w**2 + 4859340*w - 6387472 = 0. Calculate w. -4387, -4, 1, 91 Suppose -s**2/3 + 53807*s/3 - 107602 = 0. Calculate s. 6, 53801 What is y in y**5/3 + 17464*y**4/3 + 76212839*y**3/3 - 305917084*y**2/3 - 1144241340*y = 0? -8734, -5, 0, 9 Determine v so that -4*v**5/3 + 3328*v**4/3 + 179384*v**3/3 + 660688*v**2/3 - 179380*v/3 - 664016/3 = 0. -47, -4, -1, 1, 883 Solve j**5 - 2549*j**4 + 127220*j**3 + 2239028720*j**2 - 508896*j - 8956074096 = 0 for j. -799, -2, 2, 1674 Suppose -o**2 + 5897964*o - 8696494836324 = 0. What is o? 2948982 Factor -a**3 + 1257*a**2 - 280296*a + 3184272. -(a - 972)*(a - 273)*(a - 12) Factor 12*b**3 + 2858426*b**2 - 10957476*b. 2*b*(b + 238206)*(6*b - 23) Let 3*j**5/7 - 318*j**4/7 - 8943*j**3/7 + 1263102*j**2/7 - 3593076*j/7 - 12304920/7 = 0. What is j? -61, -2, 5, 82 Factor z**3/3 + 157*z**2/6 - 20237*z/6 + 24790/3. (z - 67)*(z + 148)*(2*z - 5)/6 Factor -2*y**4/3 + 8326*y**3 - 25355840*y**2 - 12062604800*y/3. -2*y*(y - 6320)**2*(y + 151)/3 Factor l**3/5 + 46943*l**2/5 + 1454206*l/5 - 3096192/5. (l - 2)*(l + 33)*(l + 46912)/5 Factor -3*m**2 - 13795*m/3 - 41142. -(m + 9)*(9*m + 13714)/3 Determine u so that -2*u**2 + 74736*u + 70528338 = 0. -921, 38289 Factor -2*w**2/3 + 13664582*w/3 - 4554860. -2*(w - 6832290)*(w - 1)/3 Factor 3*n**3/4 + 1665687*n**2/4 + 416421*n. 3*n*(n + 1)*(n + 555228)/4 Find r, given that 39*r**3 - 1137163*r**2 - 1108043*r + 29159 = 0. -1, 1/39, 29159 Let 2*n**3 + 1346068*n**2 + 164197970*n + 5007811104 = 0. What is n? -672912, -61 Factor -1161*j**4 - 9328*j**3 - 320*j**2. -j**2*(j + 8)*(1161*j + 40) Solve -16*q**5/7 + 83476*q**4 - 5335279764*q**3/7 + 3998355608*q**2/7 + 3620446720*q - 24006787200/7 = 0 for q. -9/4, 1, 2, 18260 Let -1365*p**5 + 73700*p**4 - 1397220*p**3 + 10726850*p**2 - 27023415*p - 198550 = 0. Calculate p. -2/273, 5, 11, 19 Find x, given that -x**3 + 4765*x**2 - 5209875*x - 1133240625 = 0. -185, 2475 Let 7581*r**4 + 65697516*r**3 + 4939248*r**2 - 3223728*r + 207984 = 0. What is r? -8666, -2/7, 2/19 Find y, given that y**4/6 - 19684*y**3/3 - 13124*y**2 + 78736*y/3 + 157480/3 = 0. -2, 2, 39370 Suppose -2*i**5 + 13602*i**4 -
{ "pile_set_name": "DM Mathematics" }
+ 6*n**2. Suppose 0*t = 4*t + 4. Does 7 divide d(t)? True Let z(r) be the third derivative of r**6/120 + r**5/20 - r**3/3 - 4*r**2. Is 9 a factor of z(2)? True Suppose 0 = -2*g - 3*g - y + 6, -4*g - 1 = -5*y. Suppose 2*n = g - 21. Is 5 a factor of (8/n)/((-14)/175)? True Suppose -k = -35 - 32. Does 23 divide k? False Let n be (-72)/(-2) - (1 + 0). Suppose 27*h + 8 = 26*h. Let y = n + h. Is 12 a factor of y? False Is -1*4*(-9 - -1) a multiple of 25? False Let b(t) = -t**3 - 8*t**2 + t + 11. Let m be b(-8). Suppose 5*y - 115 = -s, -20 - 3 = -y + m*s. Is y a multiple of 7? False Suppose 116 = 2*n - 570. Does 49 divide n? True Let f = 72 - -71. Does 11 divide f? True Let c(d) = 11*d**2 + 6*d + 10. Is c(-5) a multiple of 17? True Let n(j) be the third derivative of -j**4/24 + 3*j**3/2 - 5*j**2. Let o be n(4). Suppose -4*y + 2*m + 250 = 0, 0 = -5*y + o*m + 385 - 65. Is 17 a factor of y? False Let c be 1/((-2)/(-16)*2). Suppose c*m = 3*u - 21 - 57, u = m + 25. Suppose 121 - u = 3*l. Does 11 divide l? True Suppose 0 = 4*a - 3*a - 4. Suppose 28 = 4*i + 3*u, 5*u = -a*i + 16 + 12. Is i a multiple of 7? True Let z be 1*((-2)/(-2) - 2). Does 14 divide z/(-2) - (-183)/6? False Let s(n) = 9*n + 19. Is s(13) a multiple of 14? False Suppose 0 = -2*n + 1 + 55. Does 7 divide n? True Let b = -69 + 129. Is b a multiple of 15? True Let i(h) = -h + 3. Let r be i(0). Let s be r - (2 + -28 + -1). Let m = s + -21. Is m a multiple of 3? True Let z be (0 - 1)/(3/(-12)). Suppose 2*q - 2 = 4, -139 = -z*n - q. Does 10 divide n? False Let m(k) = k**2 + 2*k + 5. Let f = 0 - -3. Suppose -2*r - 7 = f. Does 10 divide m(r)? True Let l be (-1)/4 - 30/8. Let y(b) = b**2 - 4*b - 5. Is 9 a factor of y(l)? True Let g(n) = n**3 + 5*n**2 + 2*n + 2. Let d be g(-5). Let s = d - -11. Suppose -37 = -s*h - 10. Is 9 a factor of h? True Let v(p) = p - 8. Let c be v(5). Let f = 7 + c. Is (-2)/20*f*-65 a multiple of 13? True Suppose 62 + 64 = 3*a. Does 39 divide a? False Let b = -306 - -454. Does 37 divide b? True Suppose 5 = 2*r + 1. Suppose l = -4*m - 7, l = m + r + 1. Let j(g) = 8*g**2 - 2*g. Is 12 a factor of j(m)? True Let l be 1 + (-1 + -1 - -2). Let m(s) = 4*s**3 - s**2 + 2*s - 1. Let g be m(l). Suppose 2*f - w = 48, -w = -0*w + g. Is 12 a factor of f? False Suppose q = -3*n + 181, q + 196 = 3*n - q. Does 18 divide n? False Let k = 16 - 29. Let f = 40 + k. Does 17 divide f? False Let b(p) be the first derivative of 2*p**4 - 2*p**3/3 - 2*p + 3. Is 18 a factor of b(2)? True Suppose -29 = -5*a - 3*n, -3*a - 5*n = -21 - 6. Suppose 15 = j + a*j. Suppose 13 = x - 5*z - 8, -z = x - j. Is x a multiple of 3? True Let u = -75 + 121. Let h = u - 28. Is h a multiple of 7? False Suppose 44 = 2*y - 0*y. Suppose y = -3*d + 4*d. Does 4 divide 138/33 - 4/d? True Let c = -51 - -28. Let p = -8 - c. Is p a multiple of 4? False Let a be ((-12)/42)/(2/(-14)). Let m = 10 + a. Is m a multiple of 12? True Let i = 30 - 19. Is 11 a factor of i? True Suppose 0 = v + 2*q - 13 - 0, 3*q = -3*v + 24. Suppose v*d - 26 = 13. Does 13 divide d? True Let z = -5 + 6. Let b(l) = -13*l**2 + l. Let v be b(z). Let o = v - -22. Does 10 divide o? True Suppose 67 = -5*t + 7. Let i be 4/t - (-4)/(-6). Let z(w) = -16*w**3 + w**2 + w. Does 8 divide z(i)? True Let b = 17 - 16. Let l = 24 - b. Is 17 a factor of l? False Let u(d) = 4*d - 2 + 8 + 1. Let b be u(-6). Let l = -5 - b. Is l a multiple of 5? False Let u(d) = -d**3 + 14*d**2 - 13*d + 16. Is 15 a factor of u(13)? False Suppose -3*u + 8*u = -o - 3, 0 = -5*u - 5. Let j be (-92)/6*(-3)/o. Suppose 2*t - 23 = j. Is 14 a factor of t? False Let p(t) = 2*t**2 + 7*t - 1. Is p(-7) a multiple of 16? True Suppose -73 = -2*w + 29. Suppose 6 = t - w. Is t a multiple of 19? True Suppose 5*z - 140 = -0*z. Let x = -16 + z. Is x a multiple of 6? True Let m = 41 - -9. Is m a multiple of 10? True Suppose 0 = -9*t + 535 + 176. Is t a multiple of 15? False Let x(l) = -l**2 - 14*l. Let k be x(-8). Let y = k - -13. Is 11 a factor of y? False Let w be (-3)/6 + (-26)/(-4). Suppose w*z + 2*d = z - 74, -2*z - 5*d = 38. Is 15 a factor of (-424)/z - (-2)/(-7)? True Let k = 77 - 51. Suppose 0*a + k = a. Does 13 divide a? True Suppose d + 3 = 4*d. Let v = 2 + d. Suppose 4*f - 8 = 0, -3*t = v*f + 2*f - 19. Is t even? False Let t(z) = 2*z**2 - 10*z + 8. Let a = 0 - -6. Let x be t(a). Suppose 3*u = 2*u + x. Is u a multiple of 9? False Let y(l) be the first derivative of -l**4/2 - l**3/3 - 4*l - 4. Is 13 a factor of y(-3)? False Let j be 3/(-9) - 218/(-6). Let t = 21 + j. Suppose 74 = 3*o + x, -4*o - 4*x + 55 + t = 0. Does 11 divide o? False Let d be 12/1 + 0 + 3. Is 9 a factor of -10*((-57)/d - -1)? False Is 9/(-15) - (-856)/10 a multiple of 30? False Suppose -5*g - 8 = -4*b + 13, g + 5 = b. Suppose 5*t - 46 = b*t. Is (t/(-4))/((-1)/4) a multiple of 20? False Let o(u) = u**3 - 8*u**2 - 2*u + 6. Let m be o(8). Let z = m + 14. Suppose -4*q = -2*y + 2, z*y - 10 = y - q. Is y a multiple of 2? False Let v = -6 - -52. Does 7 divide v? False Suppose 3*s - 5*y = 71, -4*s + 3*y = y - 104. Is s a multiple of 8? False Let f = -115 + 69. Let p = -24 - f. Is p a multiple of 22? True Let u = -9 + 5. Let l(h) = 3*h**2 + 5*h - 4. Is l(u) a multiple of 7? False Suppose 0 = 3*v + 3*x - 4 - 5, 0 = 4*x. Suppose 2*r + v*r - 4*w - 30 = 0, -19 = -2*r + 3*w. Is 14 a factor of 36 + r*(-2 + 1)? False Let l be -1 - -3 - (185 - 28). Let m = 26 - 133. Let t = m - l. Is t a multiple of 24? True Let p(c) = -3*c + 2. Let u be (-2)/(-6) - 19/3. Is p(u) a multiple of 10? True Let y = 10 - 4. Does 10 divide (-80)/y*(-3)/2? True Suppose 3*v + 2*v = 860. Suppose -v + 57 = t. Is 19 a factor of (-2)/6 - t/3? True Let k = -19 + 20. Is 10/k + -7 + 5 a multiple of 4? True Suppose 0 = 4*s - 260 + 92. Let d = s - 24. Is d a multiple of 9? True Let o(j) = 45*j**2 + j. Let i be 2 - -1*(-3)/3. Let k be o(i). Suppose 10 = -2*q, 0 = 2*m + 2*q - 4*q - k. Does 9 divide m? True Let i(t) = -t**2 - 5*t + 6. Let m be i(-6). Suppose 4*w - 20 = m, y - 2*w + 0*w = 11. Is 8 a factor of y? False Let p be 3*((-1)/3)/1. Let g be (1 + p)/(4 + -3). Suppose g = -3*i - 0*i + 24. Does 4 divide i? True Let w = -6 + 4. Let y(i) be the second derivative of i**4/3 - i**3/6 - i**2 + 2*i. Is 13 a factor of y(w)? False Let h(k) = -k**3 - 3*k**2 + k - 5. Let t(d) = -9*d**3 - 2*d - 1. Let g be t(-1). Suppose 0*p + g = -2*p. Does 18 divide h(p)? False Suppose -y = -0*y - 5*g - 22, 0 = -5*y + 4*g + 26. Suppose 30 = 2*u - 2*v, -4*u + 35 = y*v + 5. Is 7 a factor of u? False Let d = -14 - -24. Is d a multiple of 3? False Let v be 0/5 + 2 + 0. Suppose l = v*z, -5*l + 2*z = -l. Suppose -17 = -l*g - g. Does 6 divide g? False Let h(q) = 3*q - 13. Let i be h(6). Suppose i*v - 256 = 24. Does 14 divide v? True Is 17 a factor of 3/(-12) - (-3)/(36/411)? True Suppose -4*w + 134 = -294. Is w a multiple of 46? False Suppose 5*o - 23 - 7 = 0. Let b = -1 + 5. Does 3 divide 6/b*o + -1? False Let k(n) = 2*n**2 + 6*n + 9. Let t be k(-6). Suppose 4*a - 4*b - 55 = b, t = 2*a + b. Suppose a = 2*v - 0*v. Is v a multiple of 10? True Let d(n) = n + 73. Let o be d(0). Let f = -104 - -62. Let q = f + o. Is 12 a factor of q? False Let j(o) = 6*o - 6 + 2*o**3 + 4*o**2 - o + 5*o**2. Let h be j(-6). Is 14 a factor of h/(-10) + (-2)/5? True Let z(h) = 7*h - 4*h - 2*h - 8. Let u be z(6). Is 8 a factor of 0 - (u - 1) - -7? False Is 17 a factor of (-28)/(-21)*(-51)/(-2)? True Suppose 44 + 32 = 2*l. Does 38 divide l? True Suppose 3*p + 8 = 11. Is (-66)/((-3)/1 + p) a multiple of 6? False Let g(b) = -2*b + 4*b - 10 + 0*b. Does 4 divide g(9)? True Let i = 7 + -6. Let a(q) = 21*q**3 + 2*q**2 - 1. Is 11 a factor of a(i)? True Let a = -27 - -5. Let n be (-4 - 4)*a/8. Let p = -12 + n. Does 5 divide p? True Let s(x) = -x**3 + 5*x + 3. Let u be s(-3). Let d = u - -9. Is d a multiple of 8? True Let g(y) = y**2 + 2*y + 2. Let o be g(-4). Suppose 2*f = -5*w + 84 - o, -15 = 5*f. Is 7 a factor of w? False Does 12 divide 2778/33 + ((-24)/11 - -2)? True Suppose 0 = -n - 5*l + 257, 2*n - 5*l - 928 = -2*n. Is n a multiple of 67? False Let c(m) = m**3 - 8*m**2 + 8*m + 11. Let s be c(8). Let t = s + -44. Does 20 divide t? False Suppose 12*r = 15*r - 207. Is 23 a factor of r? True Suppose 9*b - 2410 - 398 = 0. Does 12 divide b? True Suppose
{ "pile_set_name": "DM Mathematics" }
hird derivative of 0*f**3 + 0*f + 1/24*f**4 + 0 - 8*f**2. Calculate t(z(r)). 11*r Let m(w) = -17*w**2. Let g(x) = 23*x. Calculate m(g(k)). -8993*k**2 Let p(u) be the third derivative of u**5/30 + u**4/24 + 16*u**2. Let t(k) = -k**2. Determine p(t(c)). 2*c**4 - c**2 Let r(n) = -4*n. Let b(m) = 2*m. Let w(i) = -i + 3. Let j be w(6). Let s(k) = 2*k. Let h(o) = j*s(o) + 4*b(o). Calculate r(h(z)). -8*z Let r(q) be the second derivative of -5*q**4/12 - 5*q. Let n(p) = p**2. What is n(r(z))? 25*z**4 Let s(i) = -10*i**2 - 17*i**2 - 14*i**2. Let a(q) = q. What is a(s(j))? -41*j**2 Let a(x) be the first derivative of -x**4/4 - 5*x - 5. Let s(i) be the first derivative of a(i). Let l(h) = -2*h**2. Calculate s(l(m)). -12*m**4 Let n(p) = 20*p + 12. Let r(x) = -6*x. What is n(r(j))? -120*j + 12 Let l(d) = 21*d + 113. Let i(c) = -3*c. Determine l(i(m)). -63*m + 113 Let q(t) be the second derivative of -7*t**4/6 - 7*t**2/2 - t. Let m(h) = 13*h**2 + 6. Let k(n) = 7*m(n) + 6*q(n). Let u(f) = f**2. What is u(k(r))? 49*r**4 Let l(g) = -g**2. Let p(j) = 2509*j. What is l(p(v))? -6295081*v**2 Let z(v) = 2*v + 151 - 151. Let n(x) = -18*x. Determine z(n(w)). -36*w Let a(b) be the second derivative of b**4/6 + 9*b. Let o(g) = -3*g. Give a(o(d)). 18*d**2 Let n(z) = -4*z - 4*z + 4*z. Let u(w) = -2*w. Calculate n(u(f)). 8*f Let m(f) = 5*f**2. Let v be 12/(-78) - 108/(-26). Let u(q) = -q**2 - 3*q - 3. Let t(p) = -p**2 - 4*p - 4. Let d(o) = v*u(o) - 3*t(o). Determine m(d(g)). 5*g**4 Let z(k) = -k - 1. Let n(r) = 4*r + 5. Let t(i) = -n(i) - 5*z(i). Let j(o) = 25*o. What is j(t(c))? 25*c Let x(n) = -4*n - 864. Let o(q) = q. Give x(o(w)). -4*w - 864 Let z(m) = -2*m. Let o(c) = -1537*c**2 - 145*c - 145. Let y(d) = 32*d**2 + 3*d + 3. Let j(q) = 3*o(q) + 145*y(q). What is j(z(u))? 116*u**2 Let h(a) = 3*a. Let m(g) = 3*g. What is h(m(i))? 9*i Let o(c) = 45*c - 2. Let t(i) = 167*i. Calculate o(t(b)). 7515*b - 2 Let b(r) = -4*r. Let d(s) = -63 + 9*s + 63. Let x(g) = 13*b(g) + 6*d(g). Let k(h) = 4*h. Determine k(x(i)). 8*i Let q(w) = 3*w**2. Let j(m) = m**2. Let g(x) = 5*j(x) - 3*q(x). Let v = 4 + -2. Let k(c) = -v*c**2 + 2*c**2 - 2*c**2. Determine k(g(y)). -32*y**4 Let s(g) = -2*g. Let c be (-6 - -4)/(2*3/(-2)). Let p(t) be the second derivative of 0 - c*t**3 + 0*t**2 + t. Calculate p(s(x)). 8*x Let s(f) = -2*f**2. Let y(d) = -4*d. Give y(s(i)). 8*i**2 Let z(g) = -2*g**2. Let k(n) = -3*n - 4 + 2*n - n**2 + 2*n**2. Let a be k(3). Let y(h) = -3 + 3 - h**a. Calculate z(y(q)). -2*q**4 Let j(s) = 3*s. Let y(h) = -13*h**2. Determine y(j(f)). -117*f**2 Let a(o) = -2*o**2. Let l(j) = -842*j**2. Calculate l(a(h)). -3368*h**4 Let i(u) be the third derivative of -u**6/360 - u**3/2 - 2*u**2. Let o(d) be the first derivative of i(d). Let a(z) = -z + z - 3*z. What is o(a(p))? -9*p**2 Let n(q) = -39*q. Let p(x) = -24*x**2 + 3*x. Determine p(n(o)). -36504*o**2 - 117*o Let s(a) = a - 53. Let o(z) = 58*z. Give o(s(m)). 58*m - 3074 Let l(k) = k + 2. Let c(m) = 4*m + 11. Let z(y) = -2*c(y) + 11*l(y). Let s(f) be the third derivative of -f**4/8 + 10*f**2. Give z(s(a)). -9*a Let t(r) = 12*r**2 + 2*r. Let c(u) = -174*u. Calculate c(t(s)). -2088*s**2 - 348*s Let i(p) = 4*p - 5*p + 0*p + 3*p. Let o(g) = 2*g. Give o(i(u)). 4*u Let f(o) = 5*o. Let t = -18 + 18. Let g(b) be the first derivative of -2 + 1/2*b**2 + t*b. Determine f(g(k)). 5*k Let i = -5 - -10. Suppose -2*q + 6 = i*m - 22, 0 = -q - m + 8. Let h(w) = w**2 + w**2 - q*w**2. Let t(n) = -2*n. Determine h(t(s)). -8*s**2 Let j be 2*3*(-5)/(-15). Let l(t) = -21*t**j + 0*t + 23*t**2 + 0*t. Let q(i) = 5*i. Give q(l(s)). 10*s**2 Let l(q) = q + 8. Let g be (-2 - -1)/(2/12). Let k be l(g). Let r(s) = s**2 - 2*s**k - s**2 + s**2. Let z(f) = -2*f**2. Give z(r(p)). -2*p**4 Let b(t) = -8*t - t - 10*t. Let a(j) = -2*j. Determine a(b(k)). 38*k Let i(z) = -2*z**2. Let g(u) = u + 5490. Determine i(g(b)). -2*b**2 - 21960*b - 60280200 Let g(n) = -5*n**2. Let r(z) = 632*z + 1. Calculate g(r(p)). -1997120*p**2 - 6320*p - 5 Let r(u) = -4*u. Let s(y) = 17*y + 4 + 13 - 10 + 6. Let h(z) = 4*z + 3. Suppose 0 = c - 5*f + 31, 12 - 34 = c + 4*f. Let k(n) = c*h(n) + 6*s(n). Give k(r(b)). 8*b Let h(z) = -2*z**2. Let d(s) be the third derivative of s**3/3 + 4*s**2. Let y(o) = -o + 3. Let j(m) = 3*d(m) - 2*y(m). Calculate j(h(n)). -4*n**2 Let b(c) = -62 - 15*c + 62. Let h(t) = -2*t. Calculate h(b(i)). 30*i Let v(b) = 7*b - 3. Let f(x) = -16*x + 7. Let c(j) = 3*f(j) + 7*v(j). Let m(n) = -5*n**2. What is c(m(l))? -5*l**2 Let t(a) = -17*a**2. Let s(g) = 7*g**2 - 6*g + 6. Let b(o) = 8*o**2 - 7*o + 7. Let l(i) = 6*b(i) - 7*s(i). What is l(t(m))? -289*m**4 Let g(i) = -36*i**2. Let f(j) = 7*j. Determine f(g(u)). -252*u**2 Let l(b) be the second derivative of 2*b + 0*b**2 + 0 + 1/6*b**3. Let f(r) be the second derivative of -r**3/3 + r. Determine f(l(y)). -2*y Let n(x) be the third derivative of 11*x**4/24 + x**2. Let k(y) = -5*y - 3. Let j(r) = 7*r + 4. Let v(u) = 3*j(u) + 4*k(u). Calculate v(n(g)). 11*g Let q(x) be the second derivative of -5/3*x**3 + 3*x + 0 + 0*x**2. Let a(z) = 2*z. Calculate a(q(k)). -20*k Let f(z) = -21*z**2 + 0 + 22*z**2 + 0. Let a(h) = 4*h**2. Calculate a(f(m)). 4*m**4 Let v(s) = -3*s**2 - 4*s**2 + 3*s**2 - s**2. Let b(n) = n**2. Let w(a) = 11*b(a) + 2*v(a). Let c(r) = -11*r. Determine c(w(o)). -11*o**2 Let n(g) = -2*g**2. Let x(p) be the third derivative of -p**4/6 - 15*p**2. Determine x(n(t)). 8*t**2 Let g(x) = 4*x. Let j(d) = 75*d + 1. Determine g(j(l)). 300*l + 4 Let q(s) = 27 - 27 - s. Let o = 2 + -2. Let g(w) = o*w + 4*w - 3*w. Determine g(q(l)). -l Let s(c) = 15*c. Let n(p) = 7*p. Let j(h) = 13*n(h) - 6*s(h). Let v(f) = -4*f**2. Give v(j(k)). -4*k**2 Let h(s) be the first derivative of s**2/2 - 1. Let q(f) = 4*f**2. What is q(h(i))? 4*i**2 Let j(k) = k + 4. Let l(g) = 3. Let s(p) = 3*j(p) - 4*l(p). Let v(m) = -7*m. What is v(s(o))? -21*o Let m(d) = -1143*d**2. Let o(h) = h**2. Give m(o(p)). -1143*p**4 Let c(i) = 30*i - 34*i + 0 + 0. Let h(l) = 4*l - 3*l + l. Determine c(h(k)). -8*k Let v(w) = 3 - 6 - 5*w**2 + 3. Let j(q) = 3*q. What is v(j(p))? -45*p**2 Let c(l) = -2*l + 0*l + 3*l. Suppose 4*o - 8 = 2*o. Let w(p) = 5*p - o*p - 3*p. Calculate c(w(j)). -2*j Let i(h) = 2*h**2. Let b(t) = -154*t - 11. Let c(w) = 31*w + 2. Let y(j) = 2*b(j) + 11*c(j). Give y(i(o)). 66*o**2 Let h(q) = q**2. Let t(u) = -7*u - 199. Calculate h(t(j)). 49*j**2 + 2786*j + 39601 Let o(j) be the first derivative of j**3/3 - 1. Let x(y) = -3*y + y - 2*y + 6*y. Determine x(o(t)). 2*t**2 Let j(x) = 10*x. Let l(p) = p**2 + p - 1. Let w(f) = -3*f**2 - 2*f + 2. Let n(g) = 2*l(g) + w(g). What is j(n(r))? -10*r**2 Let v(s) be the first derivative of 15*s**2/2 + 9. Let w(g) = 2*g. Calculate v(w(n)). 30*n Let w(r) be the third derivative of r**5/10 - r**2 + 4*r. Let n(d) = -3*d**2 + 2*d**2 - d**2. Calculate n(w(i)). -72*i**4 Let l(h) = -h**2. Let a(b) = -b - 2. Let y be a(-7). Let w(t) = 2 - 1 - 1 + y*t. Calculate w(l(g)). -5*g**2 Let i(q) = 195*q. Let k(u) = u**2. What is i(k(r))? 195*r**2 Let n(p) = p**2 - 2*p. Let j(w) = 0*w - 393 - w + 393. Determine n(j(r)). r**2 + 2*r Let d(i) be the first derivative of -i**3/3 - 25. Let m(c) = -7*c - c - 3*c. Calculate d(m(h)). -121*h**2 Let k(g) = g**2. Let m(q) = 6*q - 17. Let n(x) = -2*x + 6. Suppose 2*j = -r, 5*r = -4*j + 2*j - 24. Let o(y) = r*m(y) - 17*n(y). Give o(k(d)). -2*d**2 Suppose 4*z = -p + 13, -5*z - 5 = -4*p + 5. Let k(h) = 5*h**2 + 3*h**2 - 2*h**2 - 2*h**z. Let u(i) = -3*i. What is k(u(v))? 36*v**2 Let x(f) = -7*f - 3. Let q(r) = -112*r - 49. Let p(h) = 6*q(h) - 98*x(h). Let i(a) = 2*a**2. Calculate p(i(s)). 28*s**2 Let j(v) = 4293*v**2 - 297*v. Let c(x) = -29*x**2 + 2*x. Let b(s) = -297*c(s) - 2*j(s). Let a(y) = -2*y. Give a(b(r)). -54*r**2 Let x(n) = -2*n**2. Let r(j) be the first derivative of -1 + 0*j**2 + 2*j + 1/3*j**3. Let q(f) be the first derivative of r(f). Determine q(x(o)). -4*o**2 Let y(h) = -5*h + 9. Let x(b) = b + 9. Let o be x(0). Let v(n) = 2*n - 4. Let p(s) = o*v(s) + 4*y(s). Let a(k) = -2*k. What is p(a(j))? 4*j Let h(p) = 3211*p. Let t(n) = 2*n**2. What is t(h(u))? 20621042*u**2 Let n(p) = -2*p. Let o(v) be the second derivative of -4*v**4/3 + 34*v. Calculate o(n(q)). -64*q**2 Let f(t) be the second derivative of -5
{ "pile_set_name": "DM Mathematics" }
omposite? False Suppose 40*r - 7635 = 37*r. Is r prime? False Is (-12)/(-9) + (-1158)/(-9) + -3 composite? False Let c(a) = 4*a**2 - 10*a + 3. Is c(11) composite? True Let d = 7 - 5. Suppose y - 381 = -d*y. Is y a composite number? False Is 4025/28 - (-6)/(-8) composite? True Let f = -540 + 130. Let w = f + 636. Is w composite? True Let z(q) = -q - 1. Let x be z(4). Let u = x + 8. Suppose u*y - 79 = -22. Is y composite? False Suppose -3*b = 2*m, 0*m + m + 5*b = 0. Suppose 5*k = u + 97, -5*k - 2*u - u + 89 = m. Is k a composite number? False Suppose 0 = -v - 3*v + 16. Suppose -9 = -v*q + q. Suppose 0 = -t + q*t - 62. Is t a prime number? True Let l(z) = z**2 + 8*z + 3. Let i(o) = o**2 + 17*o + 7. Suppose 5*h + 4 = -16, -5*q = h + 14. Let a(d) = q*i(d) + 5*l(d). Is a(-5) a composite number? True Suppose 2 = -0*n - 2*n. Suppose -4*i + 5*m + 5 = 12, m - 11 = -4*i. Is (n + 142/4)*i a composite number? True Suppose 4*m - 533 = -81. Suppose 519 - m = 2*w. Is w a prime number? False Let d = -4 - 57. Let u = d - -99. Is u a composite number? True Let c(s) = s**2 - 5*s + 2. Let b be c(5). Let z(l) = -2*l**b + 2*l**2 - 10*l - l**3 + 7 + 8*l**2 + l. Is z(6) composite? True Let k be (-2)/4 - (-1)/2. Let x be (0 + 6)/(2 - k). Suppose -4*q - q + 181 = -x*v, -3*q - v + 103 = 0. Is q a composite number? True Let x = 84 - 188. Let f = -26 - x. Suppose -2*v - f = -5*v. Is v a prime number? False Suppose -y = z - 83, z + 4*z - y - 445 = 0. Suppose c = 5*c - z. Is c a composite number? True Suppose 10*d - 4*v = 5*d + 8869, 4*d - 7096 = 3*v. Is d composite? False Let u = -550 + 804. Is u prime? False Suppose 2*r + t - 68 = 0, 3*r - 41 = 2*r - 4*t. Suppose -r = -c + 12. Suppose 177 - c = 4*j. Is j prime? False Suppose 0 = -0*v - 3*v + 9. Suppose -v*c + 275 = -1063. Is c/(-2 - 4*-1) a prime number? True Let d be (-54)/(-8) - 1/(-4). Let k be 1532/28 + 2/d. Suppose w + 0*w = k. Is w prime? False Suppose -3*t + 22 = 4*c, 3*t + 2 = c + c. Let r(q) = 16*q**2 - 2*q + 7. Let z be r(-5). Is 1/t - z/(-2) prime? False Let w(h) = 13 - 14*h**2 + 4*h**2 - 2*h**3 + 3*h**3 + 11*h - 10*h. Is w(10) prime? True Let b = -958 - -1871. Is b a composite number? True Let u = 8 - 4. Suppose 350 = 4*b + 2*l, -5*b - 4*l + 77 = -u*b. Is b prime? True Let y(f) = 1877*f - 7. Is y(2) composite? True Let b be (-25)/(-10)*4/5. Suppose 0 = -b*w + 3*w + 4. Is (2 + w)*1 + 85 prime? True Suppose 4982 = 3*g + 1166. Suppose -4*w + 2*i = -g, -i - 182 = 4*w - 1460. Is w prime? False Suppose 4*h = x + 10, -h - 2*h = x - 4. Let j(y) = -3 + 0*y - 2*y - 2*y**3 - 27*y**3. Is j(x) composite? False Suppose -v = -0*v - 46. Let y = v + -27. Suppose 52 = 3*s + y. Is s composite? False Suppose 3*n = p + 232, 3*n - 4*p - 333 = -116. Is n a composite number? False Suppose 19*d + 260 = 23*d. Is d a composite number? True Suppose 0 = 5*v + i - 394, 3*v = i - 0*i + 238. Is v prime? True Let f = -6035 + 9718. Is f prime? False Suppose -4*g + 2*g + 4 = 0. Suppose -g*l - 5 = -3*l. Suppose -l*b = 3*o - 266, 8*o = 4*o + 3*b + 345. Is o composite? True Suppose 0 = 5*z - 11*z + 64806. Is z a composite number? True Suppose 5*c = 5*d + 8768 + 4287, 13055 = 5*c + 4*d. Is c composite? True Let g be -1 - 119 - (-3 - -2). Let b = 166 + g. Is b composite? False Let u = 1392 + 2551. Is u composite? False Suppose 0 = 2*p + 5*c - 1277, 4*p - 1274 = 2*p - 4*c. Is p composite? False Suppose 2 + 1 = t, -4*t + 44 = 4*i. Suppose y - 16 = 4*b, 2*b + i = -3*y - 0*b. Suppose y*n = 3*n - 30. Is n a prime number? False Suppose 19*b - 2982 = 13*b. Is b prime? False Suppose 5 = -8*y + 3*y - 5*g, 0 = 3*y + g + 5. Is y/(4/(-18)) - 2 prime? True Let q(s) = s**2 - 6*s - 2. Let p be q(7). Suppose -1336 - 1021 = -3*m - 2*w, p*w = -4*m + 3138. Is m a composite number? False Let m = 3 - -9. Suppose m = 4*l + k, -30 = -5*l - 7*k + 2*k. Is (39/l)/(9/12) prime? False Let q = -1 - 1. Is (-1)/(-2) - 69/q prime? False Suppose 2 + 3 = 2*s - 5*y, -s - y = -6. Suppose 185 = s*q - 0*q. Is q a composite number? False Let u = 15 + -8. Suppose -33 = -t + u. Let z = t + -27. Is z composite? False Is 154/(-4)*(1 - (3 + 0)) composite? True Suppose 3*q - q + 20 = 0. Let m(d) be the second derivative of -d**3/6 - 3*d**2/2 + 2*d. Is m(q) prime? True Let p = 16 + -9. Let b = -5 + p. Suppose -l = b*l - 471. Is l a prime number? True Let t = 1141 - 814. Is t prime? False Suppose -3*g = d + 2*d + 111, 0 = 5*d - 3*g + 177. Let a be (2/3)/((-8)/d). Suppose -a*l = -l - 6. Is l a composite number? False Is (-2)/3*-1 - (-26939)/33 prime? False Let i(x) = x**3 - 4*x**2 + 2*x. Suppose -2*l = -5*h - 10, 4*l + 13 = -h + 33. Is i(l) prime? False Let y be (6 - -4)*(-3)/(-5). Suppose -100 = y*x - 814. Is x prime? False Let m be 7/(28/(-16)) + -2. Let i(y) = -23*y + 5. Is i(m) a prime number? False Let b(n) = -3*n**3 - 3*n**2 - n + 12. Is b(-5) a composite number? False Let i = 11 + -8. Suppose 2*q = -i*q + 805. Is q composite? True Suppose -3*t - 16 = -4, t + 757 = 3*s. Is s composite? False Let m = -4 - -16. Is -1*(-4)/(m/897) prime? False Let l be (-1542)/(-4) + (-2)/(-4). Suppose 4*v - 489 = -5*a, -3*a + 2*v + l = a. Is a a prime number? True Let t = 1 - -1. Suppose -8*s + 530 = -6*s - 3*o, t*s - 2*o = 530. Is s a composite number? True Let l(x) be the second derivative of 5*x**4/12 - x**3/6 + x**2/2 - x. Let w be l(1). Suppose p = 3*b - 18 - w, -4*p + 20 = 4*b. Is b prime? True Let z = 65 - 51. Let v = 12 + -23. Let f = v + z. Is f composite? False Let j = -148 - -229. Suppose 0 = 3*c - 2*z - 2*z + 142, -c = -4*z + 42. Let m = c + j. Is m composite? False Let x(g) = -g**2 - 10*g + 7. Let r be x(-10). Suppose -432 = -4*o + 2*c, 0 = -4*o + 4*c + 447 - r. Is o a prime number? False Let r(i) be the third derivative of 0 - 2*i**2 + 0*i - 1/6*i**3 - 11/12*i**4. Is r(-1) a composite number? True Let c = -14 - -17. Let u(p) = 3*p**2 + p + 1. Is u(c) prime? True Let b(f) = 199*f**2 + 16*f - 25. Is b(6) a prime number? False Is (5/4)/((-3)/(-636)) a composite number? True Suppose -16*x = -12*x - 3652. Is x prime? False Suppose -5*x + 4*k + 10 = -1, x - 4 = -k. Suppose 0 = r + m - 147, -x*m - 136 + 5 = -r. Is r composite? True Let g(b) = -6*b - 8. Let m be g(-6). Suppose i - m = 18. Is i a composite number? True Let y be 1/((-3)/81 - 0). Let q = y + 43. Let i = q - 9. Is i composite? False Let d be (-33)/(6/(-2)) + -2. Suppose 0 = -2*b - b + d. Suppose 0 = -y + 3*n + 31 - b, 85 = 5*y - 4*n. Is y prime? True Suppose -1885 = 5*c - 10*c. Is c a composite number? True Suppose -4*a = -2*k + 32, -k + 0*k - a + 13 = 0. Is 1/(0 - (-2)/k) a composite number? False Let r(z) = 8*z**3 + 2*z**2 - z + 2. Let a be r(-2). Let u be -4*1*(-5)/20. Is a/(-4) + u*2 composite? True Let t be ((-2)/(-3))/((-4)/(-6)). Suppose w + 22 = 5*r - t, 3*w = r + 1. Suppose 5*h = 5*f + 250, 4*h - w*f + 0*f = 198. Is h a prime number? False Suppose -2*b + 3 = -3. Suppose u - 39 = 5*x, -84 = -b*u - u + 2*x. Is u composite? False Let l(s) = 787*s. Is l(1) composite? False Is (1358 + 3)*(-3)/(-3) a composite number? False Let w(m) = -8*m**3 - 2*m**2 + 2*m + 3. Let l be -5*4*2/20. Is w(l) a prime number? False Suppose 1206 = 2*z - 1880. Is z prime? True Suppose 2*k + 4*l - 5422 = 0, 4*k = -l - l + 10826. Is k a prime number? False Let p(g) = 2*g**3 + 1. Let y be p(1). Suppose -4*l = -y*l - 47. Is l prime? True Let v be 2/(-3)*-3 - 10. Let k = v + 51. Is k composite? False Suppose -5*h - 31 = -4*j - 0*h, 2*h = 2*j - 14. Suppose b = -j + 5. Is b/(2/474*3) prime? True Let u(d) = -d**3 - 6*d**2 + 2*d - 7. Let h be u(5). Is 2/(h/(-134) + -2) prime? True Let s = 11 - 9. Suppose -s*m + 21 = -m. Is m a composite number? True Let f = -2911 - -5984. Is f composite? True Suppose 0*x - 42 = -x. Suppose f + 2*f - 18 = -g, 0 = -5*g + f + x. Let d = g - -1. Is d a composite number? True Suppose -3*i - 3*q = -66, -7 = i - q - 35. Is i prime? False Let m(o) = 5 + 19*o**2 - 6 - 18*o - 8 - o**3. Is m(13) composite? True Suppose 10 = 5*k - 3*k. Suppose 4*s - 117 + 26 = -k*i, 4*i - 107 = -5*s. Is s a prime number? True Let p = -3 + 3. Let r be p + 1 - (-236)/(-2). Let l = r + 380. Is l a composite number? False Suppose 161 = 4*w - 135. Suppose -5*n + w = 9. Is n a prime number? True Suppose -17*m + 16*m + 133 = 0. Is m composite? True Suppose -4*a + 590
{ "pile_set_name": "DM Mathematics" }
+ -15/47. What is the closest to y in g, 1/5, -2? 1/5 Suppose 0 = 190*z + 7*z. Which is the nearest to z? (a) 70 (b) -18 (c) -0.5 (d) 0.1 d Let p = 0.3 + 0.7. Let c be (3642/24280)/(12/10). What is the nearest to c in 2/3, p, -4? 2/3 Let d be 356 + -376 - (3 + (-477)/21). Let i = -11 - -4. What is the closest to i in -1/8, d, -18? d Let v = -0.74 + -0.26. Let b = 30 + -29.6. What is the nearest to -1/4 in -1/2, b, v? -1/2 Let j = -1405037/721 + 13641/7. Which is the nearest to j? (a) -2/17 (b) 2/9 (c) 5 a Let d be ((-1029)/(-4802))/((-4)/7). What is the nearest to -52 in 5, -4, d? -4 Let h be 3*(-1)/(-2) + 135/(-70). Let b be -5 + (-225)/(-35) - (3 + -2). What is the closest to 1/2 in b, 0.05, h, 0.1? b Let d = 957.9 - 958.2. Which is the nearest to 0.2? (a) 9/7 (b) d (c) 0.029 c Let s = -16 - -16. Let v = 1336 - 9354/7. Let k be (-3)/(-10)*48/36. Which is the nearest to v? (a) 0.1 (b) s (c) k b Suppose -23*i - 1 - 1 = -21*i. What is the closest to i in 5, -6/11, 7? -6/11 Let t = 5921 - 5923. Which is the nearest to -0.7? (a) 9 (b) t (c) -0.3 c Let f be (-4)/2 - (-1 - 0 - -2). Let k be ((-5)/300*-5)/((-1)/f). What is the nearest to -0.1 in -3/2, 2/13, k? 2/13 Let v = -0.1 - -0.1. Let l = -1.92 - 0.08. Let u = -17627 + 105761/6. Which is the nearest to l? (a) 12 (b) v (c) u c Let s = 5.6 - 6. Let r = -9999 - -9998.24. Which is the nearest to 1/2? (a) -1/4 (b) r (c) s a Let q = -495.0174 - -495. Let u = q - -0.4174. Which is the nearest to -0.2? (a) -17 (b) u (c) -4 b Let r = -1703 - -1703. Which is the closest to 16? (a) 2 (b) -0.7 (c) r (d) 4 d Let u = 85/3 - 28. Let r = -1592.97 - -1592.47. What is the nearest to 1 in 1, u, 9.3, r? 1 Let q be ((-623)/(-133))/(15/(-12)). Let t = q + 56/19. Let m = -0.37 - 0.03. Which is the nearest to -2? (a) m (b) -1 (c) t b Let f = 1/11767 + -223651/917826. Let o = -1/13 - f. Let i be 8/(-6) + 9 + -8. Which is the nearest to i? (a) 2/11 (b) 4 (c) o c Let j(w) = -331*w - 2318. Let m be j(-7). Let l = -0.7 - -0.7. Let q = 6 + -27/5. Which is the nearest to l? (a) m (b) q (c) 0 c Let y = -0.7 + -0.3. Let z = 168.89 + -166.89. Which is the nearest to y? (a) -0.5 (b) z (c) -0.1 a Let t = -15/229 + 19983/916. Let g = 22 - t. Let l = -581 + 580. What is the closest to l in 4, -2, g? -2 Let o = 6532 + -6533. Which is the closest to 2/3? (a) 3/8 (b) o (c) -0.6 a Let v(o) = o**3 + 7*o**2 + 6*o + 45. Let k be v(-7). Suppose -5*q + 28 = k*y, -3*q + 2*q - 2*y + 7 = 0. What is the nearest to q in -2, 5, -1/8? 5 Suppose 9*y = 4*y - 5*m + 40, -3*y = -4*m + 11. Suppose 0 = -y*v - 2*v - 5*w - 35, w = -2*v - 11. What is the closest to 1/4 in 2/13, 3/5, v? 2/13 Let x = 0.0511 + 2.0489. Which is the closest to x? (a) 2/7 (b) 9 (c) -0.2 a Let g = -542 - -386. Let j = g - -155. What is the nearest to j in 2/5, 36, 4? 2/5 Let k = -3.615 + 3.535. Which is the nearest to 0? (a) 0 (b) k (c) 0.2 a Let p = 377.72 + -368. Let k = p + -4.72. What is the nearest to -0.1 in -1/4, k, -2/5? -1/4 Let x = -3582 - -3576. What is the closest to 12 in -1/3, x, -3? -1/3 Let w(r) = 2*r**2 - r - 8. Let u be w(-6). Let k be 4/u*(-30)/(-6). Let g = -11.045 + 10.945. Which is the nearest to g? (a) k (b) -2 (c) 1/3 a Let o be 2/2 - (-6)/(-5). Let t = -805.072 + -18.028. Let a = t - -823. What is the nearest to 0 in o, -0.4, a? a Let z(q) = q**3 - 21*q**2 + 82*q - 506. Let g be z(18). Let j = -2034/2555 - 2/511. What is the closest to g in j, -1/4, 3, -3? -3 Let x = -0.9966 - -0.8966. Which is the nearest to -620? (a) x (b) -3 (c) -1 b Let x be 1/(-22)*(1 - 3). Let w = 8073/2 + -4039. Let m = -25 - -123/5. Which is the nearest to m? (a) 1/2 (b) w (c) x c Let s be 35/(-78) + ((-98)/390 - (-87)/435). Let z be (11/8)/((-3)/4). Which is the closest to 0.1? (a) -1/3 (b) z (c) s a Let p = -224.31 + 249.31. Which is the nearest to -2? (a) p (b) -1/4 (c) -4/3 (d) 7 c Let x = 1939 + -1945. Which is the closest to 52? (a) x (b) -1/2 (c) 2/3 c Let b be 3400/4 - -7 - -8. Let u = 860 - b. Let g = -2 + 2.5. What is the nearest to 0.1 in 1, u, g? g Suppose -32*b = 38*b - 87*b + 68. What is the nearest to 0.1 in -1/6, -2, b, -0.1? -0.1 Let q(n) = n**3 - n**2 - n - 7. Let h be q(3). Suppose 0 = 3*b + 3*a - 12, 0 = -2*b - 4*a + 15 - 5. What is the nearest to -1 in h, -4, b? -4 Let n = -121 + 231. Let w = n - 110.45. Let u = w + 0.25. What is the closest to 1/4 in -9, -1, u? u Suppose 2*t + 264 - 124 = 132. Let r(q) = -2*q**3 - q**2 + 5*q + 5. Let m be r(-2). Which is the nearest to -2/5? (a) m (b) t (c) -4/7 c Let d = 1292 + -24566/19. Let j = -16/57 - d. Which is the closest to 0? (a) 5 (b) 4 (c) j c Let y = 2251 + -2251. What is the closest to 0 in 60, -2/13, y, 5? y Let a be ((-57)/(-133))/((-2)/(-15071)). Let f = 3297 - a. Let r = -69 + f. What is the nearest to 1 in r, -0.3, 3? -0.3 Let p = 0.05 + -0.05. Let k = -4716 - -4715.8. Which is the closest to p? (a) k (b) 0.3 (c) -1/2 (d) -6 a Let n = 0.23 - 0.43. Let z = 0.054 + -0.154. Let d be (27/(-12) + 2)*1/2. What is the nearest to z in -3/7, d, n? d Suppose s = y - 13, -2*y + 442*s = 445*s + 19. What is the nearest to -1 in 0, y, 1/686? 0 Let m = 15505 - 15503. Which is the nearest to 0? (a) -1 (b) 994 (c) m a Suppose 4 = -2*s - 0*s, 0 = 2*n - 4*s - 8. Let d be (n - -2)*(1 + 4 - -1). Suppose k - 2*m - 12 = m, 3*k + d = -3*m. What is the closest to -1/4 in k, -4, 0.5? k Let n = -65677 - -65678. Let d = -0.8 - -0.3. Let q = -0.5 + d. What is the nearest to n in 1, 0.1, q? 1 Let g be 10/35 - 75/42. Let h = 997 - 997.3. What is the nearest to 8 in g, -1/4, h? -1/4 Let s = 43.43 - 45.43. Let f = 13 + -12.92. Which is the nearest to 3/2? (a) f (b) s (c) 0.1 c Let i = -5751.014 - -5751. Let f = 36.54 + -40.526. Let d = f + i. Which is the nearest to -1? (a) -1 (b) d (c) 1/5 a Let q = 286.6 - 286.6. Let p be (6/(-9))/(1/6). Which is the nearest to 7? (a) 2 (b) p (c) q a Let c = 0.01 + 0.49. Suppose 0 = 4*n - 3*b + 451 - 423, -b + 10 = -2*n. What is the closest to 2/3 in n, c, -24? c Let n = -0.19 + 0.2127. Let w = 0.0773 + n. Which is the nearest to w? (a) 20 (b) -1 (c) 1/10 c Let u = -0.223 - -0.206. Let d = -2.017 - u. Suppose 0 = -7*y + 3*y + 8. Which is the closest to d? (a) y (b) 0.5 (c) -2/5 c Let g(f) = f**2 - 7*f + 6. Let l be g(6). Suppose 0 = 21*y - 27*y - 396. Let a be (-33)/y - 3*2/4. What is the closest to l in -0.08, a, -2/9? -0.08 Let q be 1*(15/(5 - 8) - 2). Let l be 0 + -8 - (-20)/130. Let x = l - -471/65. Which is the closest to q? (a) x (b) 0 (c) 0.3 a Let o = 1667 + -1662. What is the nearest to 1 in 4, -1/4, o, 9? -1/4 Let n = -0.723 + 105.623. Let i = 102 - n. Let h = -3.2 - i. What is the nearest to -25 in 0.1, 2, h? h Let i = -4.047 - -1.047. Let w be (2/(-5))/((-63)/35). Let j = -16 - -18. Which is the closest to j? (a) i (b) w (c) 1/16 b Let w = 0 + -2. Let x = 98781/7 - 14112. What is the closest to -0.1 in 0.2, x, w? 0.2 Let n = -100/259 - -459/518. Which is the closest to 7/2? (a) n (b) -0.2 (c) -0.02 (d) 0.4 a Let o(h) = h**3 - 40. Let d be o(0). Let u be (d/(-15))/(2/3). Let g = -205.1 + 205.1. What is the nearest to -1 in u, g, -2/3? -2/3 Let u = -875 - -874.9. Let o = 0.09 + -2.09. Let h = o - 3. Which is the closest to u? (a) h (b) -0.1 (c) 2 b Let m = 2.875 + -7.875. Which is the closest to 2? (a) 4/7 (b) -0.1 (c) m a Let w = -30.2 - 3.8. Let j = -69.4 + 38.4. Let u = j - w. What is the nearest to -2 in 2/9, 5, u? 2/9 Let s be -7 - (9 - (-180)/(-15)). What is the nearest to -0.09 in s, 1, -2/483? -2/483 Let x = -0.11 - -0.41. Let k = 0.5 - x. Let g = 215.7 + -216. What is the nearest to 1/4 in k, g, -1/7? k Let x be (-16)/4 + 2 + -41. Let s be -5 + (6 - x/(-45)). What is the closest to 1 in s, -2, 0.2? 0.2 Let l = 186 - 185.8. Which is the closest to -4/7? (a) -5 (b) -1 (c) l (d) -0.4 d Let h = 0.605 - -3.395. Let s = -2/161 + -292/2415. What is the closest to h in -4, 5, s? 5 Let m be (-16)/104 + 150/(-39) - (-4402)/589. Which is the nearest to m? (a) 2/17 (b) -3/4 (c) -2 a Suppose -7*r = -4*r + 171. Let d = 59 + r. Suppose 11*j - 10*j + d = 0. Which is the closest to 0.1? (a) j (b) -3 (c) 4 a Suppose 19*m - 1309 = -245. Let g be m/(-108)*6/7. Which is the closes
{ "pile_set_name": "DM Mathematics" }
-93087? x**3 - x**2 - 3*x - 93360 What is the w'th term of 15825, 15822, 15817, 15810, 15801? -w**2 + 15826 What is the x'th term of -56920, -56917, -56912, -56905, -56896? x**2 - 56921 What is the c'th term of -862, -3001, -6532, -11461, -17794, -25537, -34696, -45277? -c**3 - 690*c**2 - 62*c - 109 What is the b'th term of 150344, 150347, 150350? 3*b + 150341 What is the b'th term of -53, -252, -691, -1460, -2649, -4348? -15*b**3 - 30*b**2 - 4*b - 4 What is the t'th term of 209919, 419838, 629757, 839676, 1049595, 1259514? 209919*t What is the m'th term of 76382, 152762, 229140, 305516, 381890, 458262, 534632? -m**2 + 76383*m What is the p'th term of 36140, 36127, 36124, 36137, 36172, 36235, 36332? p**3 - p**2 - 17*p + 36157 What is the q'th term of -116, -219, -332, -461, -612? -q**3 + q**2 - 99*q - 17 What is the b'th term of -3090, -6176, -9262, -12348, -15434? -3086*b - 4 What is the y'th term of -303, -479, -773, -1185, -1715, -2363, -3129? -59*y**2 + y - 245 What is the p'th term of 609, 614, 623, 642, 677, 734, 819, 938? p**3 - 4*p**2 + 10*p + 602 What is the l'th term of 786, 718, 650, 582, 514? -68*l + 854 What is the z'th term of -749, -1503, -2243, -2969, -3681, -4379? 7*z**2 - 775*z + 19 What is the u'th term of -918, -1018, -1118, -1218, -1318, -1418? -100*u - 818 What is the u'th term of 27145, 54237, 81317, 108379, 135417, 162425? -u**3 + 27099*u + 47 What is the k'th term of -287, -314, -367, -458, -599, -802, -1079? -2*k**3 - k**2 - 10*k - 274 What is the r'th term of -4124, -4177, -4232, -4289, -4348, -4409, -4472? -r**2 - 50*r - 4073 What is the p'th term of 1598, 6469, 14588, 25955, 40570? 1624*p**2 - p - 25 What is the z'th term of -101945, -407771, -917481, -1631075, -2548553, -3669915, -4995161? -101942*z**2 - 3 What is the j'th term of 1851, 7795, 17827, 31947, 50155? 2044*j**2 - 188*j - 5 What is the m'th term of -918, -1834, -2746, -3654, -4558? 2*m**2 - 922*m + 2 What is the z'th term of -291, -611, -925, -1227, -1511, -1771? z**3 - 3*z**2 - 318*z + 29 What is the g'th term of 326, 687, 1074, 1499, 1974? 2*g**3 + g**2 + 344*g - 21 What is the f'th term of 4701, 9429, 14133, 18801, 23421, 27981, 32469? -2*f**3 + 4742*f - 39 What is the d'th term of 64, 112, 204, 346, 544? d**3 + 16*d**2 - 7*d + 54 What is the n'th term of -8763, -34799, -78105, -138675, -216503? n**3 - 8641*n**2 - 120*n - 3 What is the u'th term of 11612, 23195, 34776, 46355, 57932? -u**2 + 11586*u + 27 What is the x'th term of -1158629, -1158632, -1158635, -1158638? -3*x - 1158626 What is the l'th term of 642, 1369, 2096, 2823, 3550? 727*l - 85 What is the x'th term of 1097, 1223, 1567, 2237, 3341, 4987, 7283, 10337? 18*x**3 + x**2 - 3*x + 1081 What is the z'th term of -23680, -47301, -70924, -94549? -z**2 - 23618*z - 61 What is the g'th term of -2888, -3038, -3188, -3338, -3488? -150*g - 2738 What is the u'th term of -24, -82, -174, -300, -460, -654? -17*u**2 - 7*u What is the s'th term of 7131, 28588, 64357, 114444, 178855? s**3 + 7150*s**2 - 20 What is the t'th term of 1019081, 2038164, 3057247, 4076330, 5095413? 1019083*t - 2 What is the s'th term of -68, -144, -186, -176, -96? 3*s**3 - s**2 - 94*s + 24 What is the x'th term of 739, 2949, 6637, 11803, 18447? 739*x**2 - 7*x + 7 What is the j'th term of 3956, 7901, 11846, 15791? 3945*j + 11 What is the v'th term of 85, 38, -11, -62, -115, -170? -v**2 - 44*v + 130 What is the l'th term of 1857, 1883, 1909, 1935, 1961? 26*l + 1831 What is the z'th term of -1106, -2253, -3492, -4871, -6438, -8241, -10328? -8*z**3 + 2*z**2 - 1097*z - 3 What is the p'th term of 94, 1403, 4958, 11881, 23294, 40319, 64078, 95693? 187*p**3 + p**2 - 3*p - 91 What is the w'th term of -1256, -5034, -11340, -20180, -31560, -45486, -61964, -81000? -w**3 - 1258*w**2 + 3*w What is the x'th term of 968654, 968650, 968644, 968636, 968626, 968614, 968600? -x**2 - x + 968656 What is the l'th term of 2457, 2703, 3113, 3693, 4449, 5387, 6513? l**3 + 76*l**2 + 11*l + 2369 What is the z'th term of -304, -522, -1124, -2302, -4248? -32*z**3 + 6*z - 278 What is the a'th term of -1928, -7855, -17734, -31565, -49348, -71083? -1976*a**2 + a + 47 What is the u'th term of -111664, -111661, -111658, -111655, -111652, -111649? 3*u - 111667 What is the k'th term of -41, -76, -103, -122, -133, -136, -131? 4*k**2 - 47*k + 2 What is the a'th term of 8340, 8360, 8380, 8400, 8420? 20*a + 8320 What is the g'th term of 54, 60, 62, 54, 30? -g**3 + 4*g**2 + g + 50 What is the g'th term of 25955, 25848, 25583, 25082, 24267? -13*g**3 - g**2 - 13*g + 25982 What is the i'th term of 26, 122, 350, 770, 1442, 2426, 3782? 10*i**3 + 6*i**2 + 8*i + 2 What is the a'th term of 103, 365, 799, 1405, 2183, 3133? 86*a**2 + 4*a + 13 What is the n'th term of 83393, 83440, 83489, 83540, 83593? n**2 + 44*n + 83348 What is the s'th term of -104, -409, -900, -1577, -2440, -3489? -93*s**2 - 26*s + 15 What is the h'th term of -236881, -473752, -710619, -947482, -1184341, -1421196, -1658047? 2*h**2 - 236877*h - 6 What is the r'th term of -522640, -522637, -522634, -522631, -522628? 3*r - 522643 What is the s'th term of 394, 797, 1220, 1669, 2150, 2669? s**3 + 4*s**2 + 384*s + 5 What is the f'th term of 490, 511, 532, 553? 21*f + 469 What is the g'th term of 38, -151, -432, -805, -1270? -46*g**2 - 51*g + 135 What is the a'th term of -1090862, -1090860, -1090858, -1090856, -1090854, -1090852? 2*a - 1090864 What is the t'th term of 7, 88, 223, 412? 27*t**2 - 20 What is the m'th term of -75, -55, -3, 99, 269? 3*m**3 - 2*m**2 + 5*m - 81 What is the p'th term of -428609, -857219, -1285829, -1714439, -2143049, -2571659? -428610*p + 1 What is the l'th term of 1660, 3338, 5018, 6700, 8384? l**2 + 1675*l - 16 What is the z'th term of 65, 18, -57, -160? -14*z**2 - 5*z + 84 What is the z'th term of -618, -609, -586, -549, -498, -433, -354? 7*z**2 - 12*z - 613 What is the g'th term of -1287, -5145, -11605, -20691, -32427, -46837, -63945, -83775? -4*g**3 - 1277*g**2 + g - 7 What is the t'th term of 245, 347, 293, 83? -78*t**2 + 336*t - 13 What is the h'th term of -110, -126, -150, -182, -222? -4*h**2 - 4*h - 102 What is the t'th term of 2530, 5031, 7544, 10075, 12630, 15215, 17836, 20499? t**3 + 2494*t + 35 What is the w'th term of 505, 1008, 1479, 1900, 2253? -3*w**3 + 2*w**2 + 518*w - 12 What is the u'th term of -11266, -22535, -33802, -45067, -56330? u**2 - 11272*u + 5 What is the y'th term of -1731, -3441, -5145, -6843? 3*y**2 - 1719*y - 15 What is the p'th term of -55, -184, -403, -718, -1135? -p**3 - 39*p**2 - 5*p - 10 What is the w'th term of 66, -23, -106, -183, -254? 3*w**2 - 98*w + 161 What is the o'th term of -757, -3300, -7539, -13474, -21105, -30432? -848*o**2 + o + 90 What is the t'th term of 500, 526, 556, 590, 628? 2*t**2 + 20*t + 478 What is the a'th term of 1244, 2523, 3802? 1279*a - 35 What is the j'th term of 1977, 3983, 5989, 7995, 10001? 2006*j - 29 What is the s'th term of -293, -528, -739, -914, -1041, -1108, -1103? 2*s**3 - 249*s - 46 What is the b'th term of -252, -255, -266, -291, -336, -407? -b**3 + 2*b**2 - 2*b - 251 What is the f'th term of 164, 691, 1612, 2963, 4780? 6*f**3 + 161*f**2 + 2*f - 5 What is the h'th term of 280, 342, 404, 466, 528, 590? 62*h + 218 What is the u'th term of -44, 85, 282, 535, 832, 1161, 1510, 1867? -2*u**3 + 46*u**2 + 5*u - 93 What is the y'th term of -245558, -245532, -245468, -245348, -245154, -244868, -244472? 3*y**3 + y**2 + 2*y - 245564 What is the y'th term of -15906, -15892, -15870, -15834, -15778? y**3 - 2*y**2 + 13*y - 15918 What is the v'th term of 13267, 13265, 13263? -2*v + 13269 What is the j'th term of 749, 2736, 4709, 6662, 8589, 10484, 12341? -j**3 - j**2 + 1997*j - 1246 What is the j'th term of 75, 156, 343, 690, 1251, 2080, 3231, 4758? 9*j**3 - j**2 + 21*j + 46 What is the v'th term of -478, -1023, -1568, -2113, -2658? -545*v + 67 What is the g'th term of -581, -1162, -1755, -2366, -3001? -g**3 - 574*g - 6 What is the r'th term of 235, 1906, 6439, 15262, 29803, 51490, 81751? 238*r**3 + 3*r**2 - 4*r - 2 What is the q'th term of 358, 1572, 3594, 6424, 10062, 14508, 19762? 404*q**2 + 2*q - 48 What is the h'th term of 33, 437, 1589, 3879, 7697, 13433, 21477? 65*h**3 - 16*h**2 - 3*h - 13 What is the h'th term of 15838,
{ "pile_set_name": "DM Mathematics" }
itive. p**(41/5) Simplify ((f**(-1/5)*f)/f**5)**(-2/31) assuming f is positive. f**(42/155) Simplify j**30*j**24 assuming j is positive. j**54 Simplify (h**(3/13)*h)/((h**(-7)*h)/h) assuming h is positive. h**(107/13) Simplify ((c**(-1/2))**23)**46 assuming c is positive. c**(-529) Simplify (b/((b**9*b*b)/b))**(-2/3) assuming b is positive. b**6 Simplify (w**(-7))**(-18) assuming w is positive. w**126 Simplify (v*v/((v*v**(2/3)*v)/v))/(v/v**(-1/16)*v)*v/(v*v**(2/31))*v*v**10 assuming v is positive. v**(13699/1488) Simplify i**(1/2)*i**(-1/4)*i/(i/(i**(2/21)*i))*i**(-1/4) assuming i is positive. i**(23/21) Simplify (m/(m**(-2/105)/m))**23 assuming m is positive. m**(4876/105) Simplify l/l**(-9)*l*l*l**(-3/10)/l*l**9*l*l**(2/3) assuming l is positive. l**(641/30) Simplify ((z*z/z**(-2/9))/z**(1/5))**(14/9) assuming z is positive. z**(1274/405) Simplify ((d**(2/7))**(-1/38))**(-8/7) assuming d is positive. d**(8/931) Simplify (((g*g**(-1/2))/g*g)**(8/5))**(-39) assuming g is positive. g**(-156/5) Simplify p/(p*p**(-1/7))*p/p**0 assuming p is positive. p**(8/7) Simplify (o**0/o**(1/5))/(o**1*o*((o**5*o)/o)/o*o) assuming o is positive. o**(-36/5) Simplify (s*s**(10/9)*s)/(s*s**(-12/7)*s) assuming s is positive. s**(178/63) Simplify (j**(-7/5))**2 assuming j is positive. j**(-14/5) Simplify ((j/(j**(-18)*j))/j)/(j*j**(-10)) assuming j is positive. j**26 Simplify ((b*b/((b/b**(-12))/b))/b*b)**(-2/63) assuming b is positive. b**(20/63) Simplify (l**(-4/3))**(-9/5) assuming l is positive. l**(12/5) Simplify (z/z**(-2))**(-20/13)/(z**6*z*z*z**6) assuming z is positive. z**(-242/13) Simplify (o**(-30))**22 assuming o is positive. o**(-660) Simplify (b*b**(-1/45)/b)/((((b**(3/8)/b)/b)/b)/b) assuming b is positive. b**(1297/360) Simplify (v/((v*v/(v/v**(-1)))/v))**(-31/4)/(v/(v*v**(2/5))*v*v)**(9/2) assuming v is positive. v**(-227/10) Simplify x**15*x/((((x**(-2/13)/x)/x)/x)/x) assuming x is positive. x**(262/13) Simplify (l**36/l)/l**31 assuming l is positive. l**4 Simplify (f/f**1*f/f**(-1/2))/(f*f/((f*f**(-1/4))/f))**(2/65) assuming f is positive. f**(93/65) Simplify (b/((b/b**(-13))/b)*b)/((b*b**(-2/17)*b)/b*b) assuming b is positive. b**(-219/17) Simplify (h**18/h)/h**16 assuming h is positive. h Simplify (f/(f/((f*f**(-4))/f)*f)*f*f**(6/5))**(2/41) assuming f is positive. f**(-28/205) Simplify ((u*u/u**(-3/7))/u*(u/u**8)/u)/(((u**3/u)/u)/(u**(-8)/u)) assuming u is positive. u**(-116/7) Simplify n**(-9)*(n/(n*n**(-2/15))*n)/n*n*n assuming n is positive. n**(-103/15) Simplify z**(-5)/(z*(z*(z/z**(-1/23))/z)/z*z) assuming z is positive. z**(-162/23) Simplify (g/(g/(g**0/g)))**31/(g*g*(g/(g*g**(2/3)))/g*g)**35 assuming g is positive. g**(-233/3) Simplify y**(-1/13)/y*y/(y*y**(-2/17)*y)*y*y**(-1)*y/y**1 assuming y is positive. y**(-433/221) Simplify n**(-4)/(n*n**(-7/10)) assuming n is positive. n**(-43/10) Simplify (b**(-15)/b)**(3/25) assuming b is positive. b**(-48/25) Simplify ((i**(-2))**(6/11))**(2/65) assuming i is positive. i**(-24/715) Simplify j*j/(j*j**38/j)*j*j**28 assuming j is positive. j**(-7) Simplify ((s*s*s**(-2/13)*s)/s)**36 assuming s is positive. s**(864/13) Simplify (b/((b/((b**(17/4)/b*b)/b)*b)/b))/b*b*b**(-2/27)/b assuming b is positive. b**(235/108) Simplify (u*u**24*u)**14 assuming u is positive. u**364 Simplify h**(4/9)/h*h*h/(h/h**(-7)*h)*(h*h**(2/5)/h)/h**(-1/4) assuming h is positive. h**(-1243/180) Simplify l**16/(l/((l/(l/((l*l**(-17)*l)/l*l*l)))/l)) assuming l is positive. 1 Simplify (c**(-2/27))**(1/4) assuming c is positive. c**(-1/54) Simplify v*v**0*v**(1/5) assuming v is positive. v**(6/5) Simplify (b*b**(-1/3))**(-13/3)*(b**(-2)*b)/((b*b**(3/5))/b) assuming b is positive. b**(-202/45) Simplify ((h**(-2/9))**(-29))**(-50) assuming h is positive. h**(-2900/9) Simplify b/b**(1/5)*b*b*b**(2/95) assuming b is positive. b**(268/95) Simplify r/r**(-3/8)*r**(-4) assuming r is positive. r**(-21/8) Simplify b/(b*b**(-2/33))*(b*b**(-23/4)*b*b*b)/b assuming b is positive. b**(-355/132) Simplify (q*q*q**(1/3)*q)**11*((q/(q/q**(-2/13)))/q)/((q**(-1/5)*q)/q) assuming q is positive. q**(6964/195) Simplify i**(-1/20)/(i**(7/5)*i) assuming i is positive. i**(-49/20) Simplify j/((j**(-3/11)*j)/j)*j/(j*j*j/((j*(j/(j**(5/2)*j*j))/j)/j)) assuming j is positive. j**(-115/22) Simplify (z**5*z)**(-6) assuming z is positive. z**(-36) Simplify (f*f**5*f*f/(f/(f*f/(f*f**6))))**(-43) assuming f is positive. f**(-86) Simplify h**23/h*h/(h/h**14*h) assuming h is positive. h**35 Simplify (b**(-3/2)/b**3)**(1/2) assuming b is positive. b**(-9/4) Simplify (r**(-1/6))**(-46) assuming r is positive. r**(23/3) Simplify ((b*b/b**(-5)*b*b)**(-16))**(2/27) assuming b is positive. b**(-32/3) Simplify (z**9*z*(z*z**8)/z)/(((z/((z*z/z**(4/3)*z)/z)*z)/z)/(z/((z*z*z/(z/z**7))/z))) assuming z is positive. z**(32/3) Simplify (w**(1/7)*w**(-2/25))**(1/8) assuming w is positive. w**(11/1400) Simplify z**(-3)*z*z**3/z*((z**(3/4)*z*z)/z)/(z*z/z**(1/3)) assuming z is positive. z**(1/12) Simplify b**23/(b*b/(b/b**(-3))*b) assuming b is positive. b**24 Simplify ((x/(((x**1*x*x)/x)/x))**(-1/25))**(-30) assuming x is positive. 1 Simplify (u**8/u)/u**(-2/11) assuming u is positive. u**(79/11) Simplify d*d**(-3)*d**3*d**(-4/3)*d*d**6/d assuming d is positive. d**(17/3) Simplify n*n**12*n*n**(-9/5) assuming n is positive. n**(61/5) Simplify ((n*n*n/(n**(-1/2)/n*n))/n**(1/5))**(8/9) assuming n is positive. n**(44/15) Simplify c*c/(c*c*c/(c/(c**3*c))*c)*c**0*c**(3/10)*c**(-6) assuming c is positive. c**(-107/10) Simplify (t**2*t/((t*((t*t**(-3/8))/t)/t)/t))/(t/(((t**(-1/8)*t)/t)/t)*t/((t*t**(-11))/t)) assuming t is positive. t**(-39/4) Simplify ((w/(w*w**9))/w*(w**(-2/27)*w*w)/w)**(19/6) assuming w is positive. w**(-4655/162) Simplify x**8*x/(x*x/x**34) assuming x is positive. x**41 Simplify (h*h**(2/11))**(-2/15) assuming h is positive. h**(-26/165) Simplify l/(l/l**(-2/13))*l**(2/7)*l*l*l**(-1/2)*l**6/l assuming l is positive. l**(1207/182) Simplify ((h*(h**(3/2)/h)/h)/h*h/(h*h*h/(h*h*h**5*h)*h))/(h**(2/5)*h**(-6)) assuming h is positive. h**(101/10) Simplify ((n**0)**(2/5))**(-45) assuming n is positive. 1 Simplify (g/(g/(g/g**0))*g*g)**(-2/21) assuming g is positive. g**(-2/7) Simplify m**(3/13)/m*m**(1/3) assuming m is positive. m**(-17/39) Simplify (h*h*h**(-2/7)*h*h/(h*h**(-1/4)*h))**(-35) assuming h is positive. h**(-275/4) Simplify (k**(-1/2))**(-3/19)*(k**1/k)**(-10) assuming k is positive. k**(3/38) Simplify f**(-1/21)/f**(-1/52) assuming f is positive. f**(-31/1092) Simplify (u*u**(2/13)*u*u)/((u*(u*u**17)/u)/u) assuming u is positive. u**(-180/13) Simplify ((o/o**(1/13))/o**(-4))**33 assuming o is positive. o**(2112/13) Simplify (j**(6/7))**0 assuming j is positive. 1 Simplify c**(-3)/c**(-17) assuming c is positive. c**14 Simplify (r**(2/7))**(-29) assuming r is positive. r**(-58/7) Simplify ((j/((j**(10/3)/j)/j))/(j/(j*j**(2/15)*j)))**(1/8) assuming j is positive. j**(1/10) Simplify (r**(3/2))**(1/2)*(r*r*r*r**(-1/15)*r)/(r**(-4)*r) assuming r is positive. r**(461/60) Simplify (f*f**(-6)*(f**4*f)/f*f)/((f*f/(f**(-2)/f)*f)/f)**(-34) assuming f is positive. f**170 Simplify ((d*d**(-1/6)*d*d)/d)/((d*d**(-4)*d)/d)*(d**(-1/4)/d)**23 assuming d is positive. d**(-287/12) Simplify (d*d*d*d**(2/7)*d)**45/(d*d*d**(2/15)*d*d**(1/2)/d*d) assuming d is positive. d**(39737/210) Simplify ((b/(b**(-4/9)*b))/(b*(b*b**(-2/11)*b*b)/b*b))/(b**1/b**(-3/4)) assuming b is positive. b**(-2029/396) Simplify ((p**0)**(-2/51))**(-5/8) assuming p is positive. 1 Simplify (i/(i/(i*i/i**(-23))))/i**(-1) assuming i is positive. i**26 Simplify k**5*k/(k/(k*(k/k**(-3/5))/k))*k**(1/14)/(k/k**(1/2)) assuming k is positive. k**(216/35) Simplify (j**(2/17)*j*j/(j/j**(-9))*j*j*j)**(-5/7) assuming j is positive. j**(415/119) Simplify (z/(z*z**(1/4)*z))/(z**(-18)*z) assuming z is positive. z**(63/4) Simplify ((q*q/(q**(-4)/q))**(3/25))**35 assuming q is positive. q**(147/5) Simplify (g**(-11))**5 assuming g is positive. g**(-55) Simplify (s*s/(s*s**(1/10)*s*s)*s)/(s**19/s) assuming s is positive. s**(-181/10) Simplify ((i*i**(-2/5))/i**(2/13))**(18/5) assuming i is positive. i**(522/325) Simplify (((d**(-1/4)/d)/d)/(d*d**(-5)))/(d/(d**(2/3)*d))**9 assuming d is positive. d**(31/4) Simplify (h*h/(
{ "pile_set_name": "DM Mathematics" }
s the nearest to -0.1 in u, -4, 79? u Let b be 0*1/2 - 9/(-45). Let o = -3039.1 + 3039. What is the closest to b in -2, o, 2/17? 2/17 Let x = -127.3 - -127.108. What is the closest to 0 in -2/11, 0.2, x? -2/11 Let c = 1523.9 - 1524.4. Let y = 0.03 - 0. What is the closest to y in c, 1, 3/2? c Let b(p) = 7*p + 308. Let c be b(-44). What is the nearest to c in 3/7, 1, 0.2, -0.08? -0.08 Let z be -6*(-6)/390*10*(-1)/3. Which is the closest to -1/2? (a) z (b) 5 (c) 0.05 a Let n = 2.47 - 3.21. Let t = 0.34 + n. Which is the closest to 0? (a) t (b) 4 (c) -6 a Let h = -9366 + 9366.2. Let y = -6.6 + 6.8. Which is the closest to h? (a) 5 (b) 1/6 (c) y (d) -2 c Let g = 0.0006 + 0.0441. Let o = 0.2447 - g. Which is the closest to 1? (a) -15 (b) o (c) 1/4 c Let u = 1 - -10. Let y = -21 + u. Let w be -16*2/(-45) + 6/y. What is the nearest to 1/4 in -3, w, 0.1? w Let o = 4081 - 4081.2. What is the nearest to -7 in -0.1, -3, 3, o? -3 Let f = 11/8 + -85/56. Let o(q) = 17*q - 1108. Let x be o(67). What is the closest to 2 in 1/9, x, f? 1/9 Let s = -12214.9 - -12215. What is the closest to s in -5, -548, 2, -5/4? -5/4 Let p be (-267)/(-102) + 330/(-132). What is the closest to -0.16 in p, 23, -3, 3? p Let m = 17877 + -17876.9. Let i = 1 - -1. Which is the closest to m? (a) i (b) -2/25 (c) 4 b Suppose x + 4 = p, 7*x + 16 = -p + 3*x. Let f be p + -23 - 8/2. Let j = f + 25. What is the nearest to 0.1 in -0.1, j, -0.5? -0.1 Let o = 22/301 + 257/602. Which is the closest to o? (a) -0.5 (b) -3 (c) -67/3 a Let a = -1.6 + -0.4. Let o = -5.08 - -0.08. Let l = 0.864 + -0.564. What is the closest to a in o, 0.2, l? 0.2 Let g = -9 - -9.5. Let h = -845/4 + 211. Let d = 20 - 81/4. What is the closest to h in g, d, 0.3? d Let b(z) = -z**2 + 8*z - 3. Let o be b(9). Let n = -28586 + 28584. What is the nearest to -1 in 1/8, -1, n, o? -1 Let q = -74.381 - 0.519. Let w = q + 73.9. What is the nearest to 2/3 in -53, 0, w? 0 Let t = 10/211 + -241/633. What is the closest to -440 in 5, -1, t, 0? -1 Let l(u) = -75*u + 1129. Let k be l(15). What is the closest to -0.1 in -2, k, 36/7? -2 Let h = -55999/99 + 5090/9. Let o be (-1)/(-2)*-2 + -2. What is the closest to h in -1, -0.4, o? -0.4 Let m = 2170 - 2175. Which is the nearest to 0.2? (a) -1/5 (b) -3 (c) 2 (d) m a Let n = 0.09 - 0.29. Let h = n - -2.2. Let p = 40 - 39.7. Which is the nearest to h? (a) 0.2 (b) p (c) -5 b Let d = 493.333 + -493. Let b = d + -0.033. Let g = 38 - 41. What is the nearest to 4 in g, 2/5, b? 2/5 Let u = 0.1 - 1.1. Let y = 185 + 78. Let v = y + -263.1. What is the closest to v in -4/7, u, 2? -4/7 Let m = -674.8609 - 0.1391. Let h = m - -676. Let x = 2 + -4. Which is the closest to 3? (a) 0.1 (b) h (c) x b Let g = 295 - 292. Let q = -622.93 + 623. What is the nearest to q in 4, g, 0, -1? 0 Let t = -1.05 + 0.05. Let k = -16/45 + 2/15. Let h = 1260 + -1259.7. What is the closest to t in -0.03, h, k? k Let c = 16 - 18. Let a = -8.1 - -2.68. Let b = a - -0.42. What is the nearest to -3 in 1, b, c? c Let s = -0.0308 + 0.3178. Let d = s - 0.087. What is the nearest to d in 7, 2, 1/6? 1/6 Let s = -6 - -7. Let g = 8646 - 8646.02. What is the nearest to -2/5 in s, 3/4, g? g Let k = 617.3 + -617.3. What is the closest to 0.1 in k, -0.4, -117? k Let v = 928.9 + -929. Which is the nearest to v? (a) 3 (b) -0.3 (c) -144 b Let h = 8 + -13. Let w = 67.381 + -71.381. Which is the closest to 0.11? (a) 3 (b) h (c) w a Let i = 134 + -135. Let w = -3161 + 3152. Which is the nearest to i? (a) 0.3 (b) 2 (c) w a Let d = 7216.1 - 7216. What is the closest to d in -4, 1/4, 0.5, -6? 1/4 Let w = 0 - -0.1. Let n be (-13)/((-351)/5409)*4/1190. Let l = -4/595 + n. Which is the nearest to w? (a) -3 (b) 0.5 (c) l b Let a = -0.691 - -0.391. Suppose 4*v = 28 + 8. Let w be (-2 + 15/v)*0. What is the closest to 1/2 in a, w, 2? w Let l = 0.1 - 0.2. Let u = 8129/12193 + -1/36579. Let v = 25/6 + -4. Which is the nearest to u? (a) 3 (b) l (c) v c Let n(o) = -5*o**2 + 289*o - 288. Let k be n(1). Which is the closest to 1/4? (a) 2/7 (b) -0.3 (c) -0.23 (d) k a Let q = 2248.7 + -2122.7. What is the nearest to q in -0.1, 5/3, 0, -5? 5/3 Let h be 58/(((-1140)/8)/(-15)) - (5 + 1). What is the closest to 8 in h, 0, 2, 4? 4 Let q = 6979 + -20935/3. Which is the closest to 1? (a) 1/4 (b) -5 (c) q (d) -0.1 c Let b = 871/2534 - 21/362. What is the closest to -0.04 in 0.4, 0, b, 8? 0 Let f = 0.06 - 0.06. Let w = -93 - -93.2. Let v = 109 - 761/7. Which is the closest to w? (a) 0.2 (b) v (c) f a Suppose -17 - 37 = 12*n + 6. What is the closest to 356 in 0.1, 2/25, n? 0.1 Let g(l) = -4*l**3 - 280*l**2 + l + 74. Let k be g(-70). What is the closest to -5/4 in -2/13, k, -0.3, 1/2? -0.3 Let y = 0 + 1. Let h = 5542/413 + -758/59. What is the closest to h in 4, y, 2? y Let s(k) = -k**2 - 5*k - 6. Let y be s(-4). Let g = -7 + 2. Let z = -35.7 + 33.7. Which is the nearest to y? (a) z (b) 1/8 (c) g a Let l = -3.6 - -4.1. Let b = -0.0546 + 0.2546. What is the closest to b in -0.5, l, -4? l Let o be (-7)/(1274/63) - (-3)/6. Let t = -170/37 - -739/185. Which is the nearest to -1? (a) t (b) -4 (c) o a Suppose -18*r - 11 = -o - 23*r, 3*o + 4*r - 33 = 0. Suppose -5*c + 6 = o. What is the closest to 2 in -5, c, 2? 2 Let w = -3.324 - -3.724. Let v = 0.9 + 2.1. Let y = -1 + 1. What is the closest to y in v, w, 2? w Let x = 89 - 68. Let k be ((-18)/x + 1)*(-14)/(-4). Suppose 4*g - g + 9 = 0. What is the closest to 0.3 in g, 0.2, k? 0.2 Let h = 7.4 + -6.4. What is the closest to -3 in h, -0.1, 3/4? -0.1 Let n = -4917 - -4916. Which is the closest to 3/7? (a) n (b) -10 (c) -4 a Let o = 97.23 - 93.23. Let j be 3/(-4)*(0 + -20). Let r = -77/5 + j. Which is the closest to r? (a) -2/5 (b) -0.1 (c) o a Let h = -2/41993 - -4451324/1385769. Let g = -28/11 + h. What is the closest to 0.5 in -1/3, 6, g? g Let d = 3954 + -3953.9. Let n = -15.22 + 0.22. Let x = 32 + n. Which is the nearest to x? (a) d (b) 4 (c) -6/11 b Let y = -2366.9 + 2367. Which is the nearest to y? (a) 0 (b) 261 (c) 5 a Let k = 4 - 3.1. Let y = 254.33 - 5.63. Let o = y + -249. Which is the closest to k? (a) o (b) -1/6 (c) 3 b Let h = 94.214 + -94. Let s = -4.786 - h. Let j = 47/20 - 13/5. Which is the closest to 0.1? (a) j (b) s (c) -1 a Let y = -1573.89 - -1574. Which is the closest to -3? (a) -1 (b) -5/3 (c) y b Let f = 0 - 1. Let u = f + 0.7. Let g be ((-1860)/45)/31 - ((-40)/6)/4. Which is the nearest to 0.1? (a) g (b) u (c) 5/3 a Let x = -295756 + 295760. Let n = 0.3 - 0.2. Which is the nearest to x? (a) n (b) -3/4 (c) 1 c Let a = -3547 - -3546.9. What is the closest to -1.6 in 1, -1, a, 0.2? -1 Let o = -1252 - -1251. What is the closest to o in 26, -0.5, 0.5, 1/3? -0.5 Let w = 4173 + -4173.1. Which is the nearest to -50? (a) -10/7 (b) -2/9 (c) 0.1 (d) w a Let z = -3125 + 3128. Let x be (-4 - (-18)/5)/((-24)/(-15)). What is the closest to 3 in x, 2/5, z? z Let i = 0.04 - -19.46. Let b = i + -19.6. Let c be (6/(-4))/(28/8). What is the closest to b in -1, 1/3, c? c Suppose -246*j - 17*j = -20*j - 486. Which is the nearest to j? (a) -4 (b) -0.1 (c) 16 (d) 0.4 d Let l = 1.6335 + 8.9665. What is the closest to l in 41, 1/2, 1/3, -0.4? 1/2 Let m = 12782 + -12780.3. Which is the nearest to 0.1? (a) m (b) 1 (c) -0.4 (d) 0.3 d Let q = 3.66 + -3.66. Suppose 2*s + 13*s - 45 = 0. Which is the closest to 0? (a) q (b) s (c) 3/8 a Let f be ((-18)/(-15) - 3/15)*21/18. What is the closest to -1 in 5, 1.1, 0.2, f? 0.2 Let i be (-18)/(-36) + 35/10 + -1. What is the nearest to -1/11 in 16, i, -4, 0? 0 Let s = 36.3 + -5.3. Let x = -27.3 + s. Let t = x + -4. Which is the nearest to 0.1? (a) t (b) 0.01 (c) 0 b Let t = -886 - -886.1. Which is the nearest to t? (a) 6 (b) 0.2 (c) -3/8 (d) 2/39 d Let f = 0.0783 - 0.0783. Let t be 132/7 + 0/(-2). Let y = t + -129/7. Which is the nearest to f? (a) y (b) 0.3 (c) 5 b Let d = 46.46 - -10.69. Let m = -56 + d. Let z = m + -1.05. Which is the closest to -1? (a) 22 (b) 2 (c) z c Let k = 533.263 + 0.737. Let r = k + -536. Let d be (-1 - -37) + 2/2. Which is the closest to 0? (a) d (b) r (c) -0.4 c Let q = 93 - 66. Suppose 28 - 31 = -3*x. Let u be -8 + 117/27 - 4/(-6). What is the neare
{ "pile_set_name": "DM Mathematics" }
(s). -2*s**2 - s + 1 Let i(m) = -4*m**3 - 2*m**2 - 3. Let d(f) be the second derivative of 7*f**5/20 + f**4/3 + 5*f**2/2 - f. Determine 3*d(c) + 5*i(c). c**3 + 2*c**2 Let t(n) = -72 + 40 + 33. Let j(i) = 2*i + 2. Calculate -j(w) + 2*t(w). -2*w Let y(j) = j**3 - j**2 + 1. Let l(c) = 6*c**3 - 3*c**2 - c + 3. What is -l(v) + 3*y(v)? -3*v**3 + v Let m(y) = -2*y**2 + 3*y + 3. Suppose 5*h - h + 16 = -4*z, 0 = 2*h + 4*z + 8. Let g(f) = -2*f**2 + 4*f + 4. Determine h*m(w) + 3*g(w). 2*w**2 Let k = 8 - 13. Let m(f) be the first derivative of f**2/2 + 10*f + 1. Suppose -3*n + 6 = -15. Let q(p) = p + 7. What is k*m(w) + n*q(w)? 2*w - 1 Let p(v) = 5*v**3 + 3*v**2 - 3*v. Let t(r) = 34*r**3 + 22*r**2 - 22*r. Calculate -44*p(d) + 6*t(d). -16*d**3 Let x(b) = -2*b**3 + 3*b**2 + 3. Let n(p) = -4*p**2 - 16 - 7*p**2 + 10*p**3 - 5*p**2. Calculate 3*n(d) + 16*x(d). -2*d**3 Let o(c) = -c**2 - 2*c + 2. Let j(b) = -6*b**2 - 15*b + 15. Suppose i - 2*w + 65 = 6*i, 0 = -2*i - 5*w + 5. Give i*o(d) - 2*j(d). -3*d**2 Let o(r) = r**3 - 2*r**2 - r - 2. Let z(b) = -b**2 + b - 1. Suppose -5*t = v - 6*v, -4*v + 9 = 5*t. What is t*o(s) - 2*z(s)? s**3 - 3*s Let d be (14/35)/((-2)/20). Suppose 6 = -4*q + 2. Let a(u) = 1. Let j(x) = x + 1. Let c(s) = -5*a(s) - j(s). Let i(l) = 1. Give d*i(o) + q*c(o). o + 2 Let i(x) = x**2 + 1. Let n(d) = -3*d**3 - d**2 + d. Determine i(b) - n(b). 3*b**3 + 2*b**2 - b + 1 Let d(t) = 4*t**2 + 2. Let p(b) = -2*b**2 - 1. What is -4*d(f) - 9*p(f)? 2*f**2 + 1 Let i(p) = -9*p - 2. Let f(v) = 2*v - 4*v - 1 - 3*v + 0*v. Let j(r) = 5*f(r) - 3*i(r). Let d(y) = -2*y - 1. Give -5*d(k) - 6*j(k). -2*k - 1 Let p(v) = -4*v + 4. Let f(g) = -g + 1. What is 5*f(i) - p(i)? -i + 1 Let j(a) = 2*a**3 - 4*a**2 + 3*a. Let r(h) = -41*h**2 - 34*h**2 + 76*h**2. Calculate j(l) + 4*r(l). 2*l**3 + 3*l Let n(g) = 2*g**2 + 10. Let q(h) = h**2. Give -n(v) + 4*q(v). 2*v**2 - 10 Let p(j) = 3*j**3 + 10*j**2 - 7*j - 7. Let g = 7 - 4. Let a(f) = -f - f + 3*f**2 + 1 + f**g - 3. Determine -7*a(c) + 2*p(c). -c**3 - c**2 Let p(a) = -1 - a + 4*a - 4*a. Suppose 3*b - 4 = 7*b. Let v(d) = 7 - 2 - 2*d + 4*d. Determine b*v(r) - 4*p(r). 2*r - 1 Suppose 0*d + 5*d = -5*z + 45, -3*d + 17 = -2*z. Let g(a) = -2 - 6 + 16*a**2 - d + 4 - 10*a**3. Let w(i) = -2*i**3 + 3*i**2 - 2. Give -2*g(p) + 11*w(p). -2*p**3 + p**2 Let o(f) = -5*f**3 + 5. Let y(g) = -24*g**3 - 2*g**2 + 2*g + 24. Let q(v) = v**2 - v. Let b(n) = -2*q(n) - y(n). Calculate 3*b(x) + 14*o(x). 2*x**3 - 2 Suppose 0 - 12 = -3*j. Let c(k) = -5*k**3 - 5*k**2 - 4*k - 4. Suppose -14*g - 121 = -25*g. Let w(l) = 14*l**3 + 14*l**2 + 11*l + 11. Calculate g*c(s) + j*w(s). s**3 + s**2 Let q(w) = -1292*w**2 + 153. Let t(u) = -17*u**2 + 2. Give 2*q(s) - 153*t(s). 17*s**2 Let n(o) be the first derivative of -o**4/2 - 2*o**3 - 14. Let j(y) = 2*y**3 + 7*y**2. Calculate -6*j(c) - 7*n(c). 2*c**3 Let s(w) be the third derivative of w**4/24 + w**3/6 - 2*w**2. Let o(y) be the first derivative of s(y). Let c(l) = -l - 2. Calculate -c(n) - 3*o(n). n - 1 Let q(v) = v**3 - v + 1. Let o(u) = u - 5. Let n be o(4). Let l be (-2)/(0 + 2/n). Let z(y) = 3*y + y**3 - y**3 - 2*y**2 - 3 - 4*y**3. Give l*z(c) + 3*q(c). -c**3 - 2*c**2 Let i(l) = 9*l**3 + 7*l**2 + 6*l + 5. Let y(v) = -5*v**3 - 4*v**2 - 3*v - 3. Determine -3*i(w) - 5*y(w). -2*w**3 - w**2 - 3*w Let d(q) = 3*q**3 + 20*q**2 + 17*q + 17. Let z(s) = s**3 + 7*s**2 + 6*s + 6. What is 6*d(i) - 17*z(i)? i**3 + i**2 Suppose -2*n = -7*n - 20. Let q(a) = 5*a**3 + 16*a**2 + 5*a + 11. Let p(d) = d**3 + 3*d**2 + d + 2. What is n*q(m) + 22*p(m)? 2*m**3 + 2*m**2 + 2*m Suppose -3*w + 4*h - 2 = 0, 2*w + 7 + 2 = -5*h. Let b(y) = 3*y - 5*y + 3*y + 2. Let d(c) = c**2 + 2*c + 3. Give w*d(v) + 3*b(v). -2*v**2 - v Let y be 11/55*(2 + 23). Let v(a) = -a - 2. Let x(u) = -2 - 4 - u + 4. Calculate y*v(f) - 4*x(f). -f - 2 Let m(n) = 27*n**3 - 27*n**2 + 15*n. Let f(h) = 7*h**3 - 7*h**2 + 4*h. Determine -15*f(w) + 4*m(w). 3*w**3 - 3*w**2 Suppose -u - 5 = 3*o, 1 + 24 = -5*u - o. Let l(y) = -y + 1. Let z(c) = -3*c**2 + 5*c - 3. Give u*l(d) - z(d). 3*d**2 - 2 Let n(p) = -12*p + 1. Let g(y) = 12*y - 1. Determine -5*g(d) - 6*n(d). 12*d - 1 Suppose 2*w + 3 = -1. Let n = w + 7. Suppose -4*j + 1 + 3 = 0. Let i(h) = -h. Let u(p) = 6*p - 1. Determine j*u(s) + n*i(s). s - 1 Let y(a) = -12*a**3 + 12*a**2 - a. Let j(s) = -11*s**3 + 11*s**2 - s. Give 7*j(t) - 6*y(t). -5*t**3 + 5*t**2 - t Let u(o) = -39*o. Let r(z) = 5*z. Determine -51*r(x) - 6*u(x). -21*x Let w(p) = -5*p**2 - 5*p + 4. Let n(l) = 14*l**2 + 14*l - 11. Determine 6*n(c) + 17*w(c). -c**2 - c + 2 Let f(x) = -x**3 + 8*x**2 - 7*x - 7. Let g be f(7). Let n(o) = -1 + 0 + 3*o**2 - 2 - 3*o + o**3. Let u(j) = 3*j**3 + 7*j**2 - 7*j - 7. Give g*n(s) + 3*u(s). 2*s**3 Let r(o) = 8*o**3 - 6*o**2 - 6*o. Suppose 3*g + 24 = -0*g - 3*h, -2*h = -4*g - 20. Let u(k) = 7*k**3 - 5*k**2 - 5*k. Determine g*u(d) + 5*r(d). -2*d**3 Let z(i) be the second derivative of 3*i**5/10 - i**4/12 - i**3 + 5*i**2/2 - 28*i. Let s(v) = v**3 - v + 1. Determine 5*s(b) - z(b). -b**3 + b**2 + b Let w(s) = -10*s - 3. Let z(d) = 3*d + 1. Suppose 5*n - 23 = r, -4*r + 7*r + n = 11. Suppose 0 = -o - r - 2. Give o*w(i) - 14*z(i). -2*i - 2 Let i(o) = -o + o**2 - 44 + 79 - 36. Let y(z) = 6*z**2 - 3*z - 6. Let t = -4 + 3. Determine t*y(l) + 5*i(l). -l**2 - 2*l + 1 Let u(n) = -19*n**3 + 3*n**2. Let r(a) = -836*a**3 + 133*a**2. What is -3*r(k) + 133*u(k)? -19*k**3 Let c(o) = -8*o**3 - 16*o**2 - 10*o + 4. Let n(l) = 3*l**3 + 5*l**2 + 3*l - 1. What is 3*c(k) + 10*n(k)? 6*k**3 + 2*k**2 + 2 Let s(w) = 23*w**2 + 4 - 22*w**2 + 2*w - 3*w. Let g(x) = x**2 - 2 + 3 + 0. What is 3*g(q) - s(q)? 2*q**2 + q - 1 Let y(j) = -29*j - 17. Let d(u) = -15*u - 8. Calculate -13*d(i) + 6*y(i). 21*i + 2 Let t(o) = 3*o**2 - 2*o - 8. Let k(q) = 7*q**2 - 5*q - 17. What is -6*k(l) + 13*t(l)? -3*l**2 + 4*l - 2 Let c(b) = -b + 1. Let u(w) = 14*w - 10. Calculate 10*c(x) + u(x). 4*x Let j(y) = -1. Let b(f) = -9*f + 5. Let n(r) = b(r) + 4*j(r). Let a(c) = 8*c - 1. Let i be (4 - 3) + (-2 - -8). Calculate i*a(d) + 6*n(d). 2*d - 1 Let a(g) = g**2 - 4*g + 25. Let d(z) = z**2 - 5*z + 24. Calculate -5*a(h) + 4*d(h). -h**2 - 29 Let g(w) = -2*w**2 - 2*w + 2. Let k(n) = -2*n**2 - 2*n + 1. Let p be 1/(-4) + 39/12. Determine p*k(u) - 2*g(u). -2*u**2 - 2*u - 1 Let m(p) = p**3 + p. Let t(j) = j**2 + 4*j. Calculate -2*m(l) - t(l). -2*l**3 - l**2 - 6*l Let v(t) = -t - 1. Let c = 6 - 2. Let u(d) = -c*d**2 + d + 1 - 2*d + 3*d**2 + 2*d. Suppose 4*g - 3 - 2 = 3*s, -3*s - 1 = -2*g. Give g*v(x) + 2*u(x). -2*x**2 Let v(j) = -2*j - 4. Suppose 0 = -3*u - 2 - 4. Let w(a) = -1. Let k(m) = -8*m - 13. Let b(d) = k(d) + 4*w(d). Give u*b(r) + 9*v(r). -2*r - 2 Let t(g) = -3*g**2 + 5*g + 7. Suppose -4 + 0 = d. Let s(y) = 10*y + 3 - 11*y - y**2 + 3*y. Calculate d*t(n) + 10*s(n). 2*n**2 + 2 Let b(p) = 3*p. Suppose 6*d + 26 = -7*d. Let j(z) = -8*z - 2*z + 4*z. What is d*j(h) - 5*b(h)? -3*h Let c(m) = 2*m**3 + 5*m**2 + 8*m + 6. Suppose -7*r + 8*r = 5. Let p(d) = 2*d**3 + 4*d**2 + 7*d + 5. What is r*p(b) - 4*c(b)? 2*b**3 + 3*b + 1 Let s(n) be the first derivative of n**2 - 2*n - 1. Suppose 125 = k + 4*k. Let m be 4/10 + 190/k. Let z(g) = -3*g + 3. Give m*s(j) + 5*z(j). j - 1 Let s(g) = 4*g**2 + 7*g + 5. Let h(f) = 3*f**2 + 5*f + 3. Calculate 7*h(m) - 5*s(m). m**2 - 4 Let o(c) = -6*c**3 - 5*c**2 - 5. Let i(z) = z**3 + z**2 + 1. Let d be ((-25)/5 - -4)*-1. Give d*o(s) + 5*i(s). -s**3 Let r(n) = -14*n + 2. Let y(i) = -i + 1. Give -r(d) + 4*y(d). 10*d + 2 Let c = 2 + -1. Let r(j) = 1 - c + 3*j**2 - 2*j. Let l(i) be the first derivative of -i**3/3 + i**2/2 - 3. Calculate -2*l(k) - r(k). -k**2 Let b(w) = 8*w + 6. Let a = -94 - -99. Let q(k) = 7*k + 5. Suppose 3*p = -8 - 10. Calculate a*b(u) + p*q(u). -2*u Let y(u) = 1. Let n(l) = 4*l**2 - l + 1. What is -n(d) + 5*y(d)? -4*d**2 + d + 4 Let u(q) = -2*q**3 + 2*q. Suppose -2*l - 11 = -4*l + 5*x, -5*l - 3*x = -12. Let y(i) = 4 + l*i + 2*i**3 - 4*i**3 - 4. Determine 3*u(p) - 2*y(p). -2*p**3 Let q(u) be the third derivative of -u**5/20 + u**4/6 - u**3/3 - 7*u**2. Let d(p) = 5*p**2 - 6*p + 3. What is -5*d(m) - 7*q(m)? -4*m**2 + 2*m - 1 Let h(m) = m**2 - 3*m. Let u(q) be the first derivative of 2*q**3/3 - 7*q**2/2 - 7. Give -5*h(g) + 2*u(g). -g**2 + g Let b(s) = s - 13. Let g(a) = 3.
{ "pile_set_name": "DM Mathematics" }
4 AM How many minutes are there between 5:09 PM and 5:53 PM? 44 What is 688 minutes after 4:33 AM? 4:01 PM What is 175 minutes before 7:30 PM? 4:35 PM How many minutes are there between 3:28 PM and 10:09 PM? 401 What is 303 minutes after 1:33 AM? 6:36 AM What is 136 minutes before 4:24 AM? 2:08 AM What is 588 minutes before 8:25 PM? 10:37 AM How many minutes are there between 8:52 PM and 11:42 PM? 170 What is 470 minutes before 2:09 PM? 6:19 AM How many minutes are there between 11:38 PM and 2:10 AM? 152 What is 35 minutes after 4:15 AM? 4:50 AM What is 137 minutes after 11:11 PM? 1:28 AM How many minutes are there between 7:30 AM and 2:28 PM? 418 How many minutes are there between 4:28 AM and 6:23 AM? 115 What is 52 minutes before 11:51 AM? 10:59 AM How many minutes are there between 4:42 PM and 1:54 AM? 552 What is 557 minutes before 12:21 PM? 3:04 AM How many minutes are there between 9:53 AM and 8:00 PM? 607 How many minutes are there between 5:43 PM and 4:10 AM? 627 What is 410 minutes after 8:05 PM? 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532 What is 625 minutes before 6:30 AM? 8:05 PM How many minutes are there between 10:06 AM and 10:41 AM? 35 How many minutes are there between 2:23 AM and 4:48 AM? 145 What is 44 minutes after 4:57 PM? 5:41 PM What is 123 minutes before 12:18 PM? 10:15 AM How many minutes are there between 1:06 AM and 6:11 AM? 305 How many minutes are there between 8:55 AM and 7:05 PM? 610 What is 662 minutes before 7:27 PM? 8:25 AM How many minutes are there between 1:33 PM and 5:57 PM? 264 How many minutes are there between 10:40 PM and 10:13 AM? 693 What is 432 minutes after 6:24 AM? 1:36 PM What is 410 minutes before 8:01 AM? 1:11 AM How many minutes are there between 2:15 AM and 11:01 AM? 526 What is 525 minutes before 7:11 AM? 10:26 PM How many minutes are there between 1:02 AM and 1:12 AM? 10 How many minutes are there between 10:12 PM and 3:25 AM? 313 How many minutes are there between 6:51 PM and 4:24 AM? 573 What is 670 minutes before 4:51 PM? 5:41 AM What is 50 minutes after 3:51 PM? 4:41 PM What is 25 minutes after 12:26 PM? 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{ "pile_set_name": "DM Mathematics" }
= -8998*n + 4. Let s be j(-8). Let d = 4 + -1. Suppose -q - d*t + 7*t - s = 0, -4*t - 288012 = 4*q. Round q to the nearest ten thousand. -70000 Let k = 0.014 + -0.0140106. What is k rounded to 6 decimal places? -0.000011 Let v(d) = -d**3 + d**2 - 2*d - 2. Let a be v(3). Let r = -149 - a. Round r to the nearest 10. -120 Let q = -0.24 + 7.24. Let b = q + -7.104. Round b to 2 dps. -0.1 Let h = 3 - 11. Let m be (-1466)/h + 3/(-12). Let z be m/9*(-9)/3. What is z rounded to the nearest 10? -60 Suppose 0 = 3*m - m - 652. Let l be (m/(-3))/(1/(-15)). Round l to the nearest one hundred. 1600 Let n = 4.6 + -4. Let j = n - 0.5875. Round j to three decimal places. 0.013 Let h = 14 - -7. Let f = -21.055 + h. Round f to two dps. -0.06 Let m = 1380 - 1379.9999261. Round m to 6 dps. 0.000074 Let m = -4 - -4.024. Let t = -6.866 - 1.91. Let h = m - t. What is h rounded to 0 decimal places? 9 Suppose 2*o = o - 4*h - 12484, -4*o - 50012 = -3*h. Round o to the nearest 1000. -13000 Let y = -116.65219 + 6357.65119. Let b = y - 6248. Let z = b - -7. What is z rounded to two decimal places? 0 Suppose -5*s - 143 = k, -3*s + 326 = -5*k - 389. Let a = 249 + k. What is a rounded to the nearest ten? 110 Let v = -10 - -10.06. Let x = v - 0.059896. Round x to 5 dps. 0.0001 Suppose 0 = 2*j - 10, 0 = -m - 4*j - 10 + 92. What is m rounded to the nearest 10? 60 Let p = 3.6999924 - 3.7. Round p to six decimal places. -0.000008 Let m = -1.03000209 + 1.03. What is m rounded to 7 decimal places? -0.0000021 Let i = 20711924 - 5511924. Round i to the nearest one million. 15000000 Let r be (-360)/(((-2)/(-15))/1). What is r rounded to the nearest one thousand? -3000 Let t = -32708.94244454101 - 1081464306.05755597899. Let o = t - -1081496987. Let i = o + 28. Round i to seven decimal places. -0.0000005 Let s = -60 + 60.00000307. What is s rounded to seven dps? 0.0000031 Let b = -0.13 - -0.05. Let p = -0.08000002 - b. What is p rounded to 7 dps? 0 Let x = -27 + 53. Let j = 10 - x. Let c = 16.0011 + j. Round c to three decimal places. 0.001 Let v = -135.6 + 125. What is v rounded to the nearest integer? -11 Suppose -2*z + 51003 = r - 3*z, r = 4*z + 51015. Suppose -r = 3*m + i, -3*m + 5*i = 3787 + 47218. Round m to the nearest 10000. -20000 Let m = 979 + -4089. What is m rounded to the nearest one thousand? -3000 Let m = 90.17018 - 90.2. Let z = m + 0.03. Round z to 4 decimal places. 0.0002 Suppose -6 = 3*r - 5*r. Let d be (-1)/((15/6)/(-5)). Let y be 2 + (-98)/d + r. What is y rounded to the nearest ten? -40 Let i = 0.12 - 0.11999928. Round i to seven dps. 0.0000007 Let l = -0.021 - -1.301. Let f = -2.5 + l. Let t = 0.69 + f. Round t to 1 decimal place. -0.5 Let a = 0.503 + -0.56. Let q = a + 0.05700062. What is q rounded to 7 dps? 0.0000006 Let h = 5.04 + -4. Let z = -0.922 + h. Round z to 2 dps. 0.12 Let i = 0.27 - 12.97. Let g = 12 + i. Let b = -0.2 - g. What is b rounded to 1 dp? 0.5 Let a = 1087561.4 - 1087561.59999892. Let n = 0.2 + a. What is n rounded to 7 decimal places? 0.0000011 Let b be -2 + 1 + 3 + 1. Suppose 5*w + 58985 = y, -y + b*w + 48899 = -10092. What is y rounded to the nearest 10000? 60000 Let d = 862 + -855.97. Let b = 6 - d. Let k = b - -0.029976. Round k to five dps. -0.00002 Suppose -w + u - 275 = -0*w, 2*u = -2*w - 530. What is w rounded to the nearest one hundred? -300 Let j = -0.0456 - -4.5756. Let b = -1.37 - j. Round b to the nearest integer. -6 Let c = -5 - -3. Let l be 9/(c - 1) + 59. What is l rounded to the nearest ten? 60 Let p = 56 + -56.0000068. Round p to 6 decimal places. -0.000007 Let k = -1.9 - 12.1. Let z = -14.00069 - k. Round z to four dps. -0.0007 Let o = 0.979 - 1.0239. What is o rounded to three dps? -0.045 Let s = -5.28 + 5.3. Round s to one decimal place. 0 Suppose -4*n + 6 = 2*s, 0*s + 2*s = -n - 6. Suppose k - n = -k. Suppose 3*x + 3*c = -9285, -x - 3085 = k*c + c. Round x to the nearest one thousand. -3000 Let k = -99.097 - -246.234. Let c = k + -147. What is c rounded to two dps? 0.14 Let v = -5.2 - -28.2. Let c = 22.52 - v. Let a = c + -0.1. Round a to 1 dp. -0.6 Let x = -2.5 + 1.12. What is x rounded to 1 decimal place? -1.4 Let o be 316*6*(-1)/(-15)*-6250. Round o to the nearest one hundred thousand. -800000 Let t = 8 - 6. Suppose 0 = -2*u - t*u - 4*c + 543996, -3*c - 3 = 0. Round u to the nearest 10000. 140000 Let r = -0.066 + 0.03. Round r to 3 decimal places. -0.036 Let j = 55 - 18. Let z = j - 32.4. Round z to 0 dps. 5 Let b(l) = 2*l + 3. Let o be b(-7). Let n be (-2)/11 - (-20)/o. Let w be (-1)/n - (-28800004)/(-8). Round w to the nearest one million. -4000000 Let r = -28484397.61220997 - -28484398. Let z = r + -16.38778103. Let j = -16 - z. What is j rounded to five decimal places? -0.00001 Suppose 0 = -4*f + 7*f - 5*u - 516, -5*f + 2*u + 860 = 0. Suppose 2*h - 3 = -y + f, 3*h + 12 = 0. What is y rounded to the nearest ten? 180 Let l be (-24)/8 + -56*1. Let w = 119 + l. What is w rounded to the nearest 10? 60 Let x = -129 - -192. Let m = 1143619749.9999917 - 1143619813. Let l = x + m. Round l to 6 dps. -0.000008 Suppose -2*x = -7*x + 665. Suppose -4*c - 115 = x. Round c to the nearest ten. -60 Let c(z) = 501*z**3 - 4*z. Let r be c(2). What is r rounded to the nearest ten thousand? 0 Let n = 0.86 + 0.29. Round n to 1 decimal place. 1.2 Let a = 36345.31 + -34525.4. Let s = a - 1835. Let b = -15 - s. Round b to one decimal place. 0.1 Let r = -1.184 + 2.043. Let u = -41 + 40.06. Let j = u + r. What is j rounded to 2 decimal places? -0.08 Let a = 0.3447 + -0.5328. Let w = 0.17 + a. What is w rounded to three dps? -0.018 Let v = -115.458 - -116. Let l = 0.038 + v. Round l to one decimal place. 0.6 Let o = -0.21 + -0.13. What is o rounded to one dp? -0.3 Let l = -6 - -10. Let f be (l/6)/(2/13200). Round f to the nearest one thousand. 4000 Let k(f) = f**3 - f**2. Let h be k(1). Suppose -5*d + 3226282 - 1026282 = h. What is d rounded to the nearest 100000? 400000 Let s = -6.3 - -6. Let x = s - -0.3. Let j = x - -0.024. What is j rounded to 2 decimal places? 0.02 Let c be 25/10 + 1/2. Suppose 486 = -c*n - 714. What is n rounded to the nearest one hundred? -400 Let a = -11 - -17. Suppose a*s - 16500000 = 3*s. Round s to the nearest one million. 6000000 Let n = -91 + 102.08. Let y = -9 + n. Let x = 2.6 - y. What is x rounded to 1 dp? 0.5 Let w = -0.553808 + 0.487. Let g = 13.065408 + w. Let s = g + -13. Round s to three decimal places. -0.001 Let i = 18 + -18.07. Let w = 0.0699998 + i. Round w to 6 decimal places. 0 Let t = -13 + 8. Let w = t + 8. Suppose 5*y + 49185 = w*x - 7*x, 2*x + y + 24597 = 0. What is x rounded to the nearest 1000? -12000 Suppose -2*h - h + 2*v + 12 = 0, 5*h - 20 = -4*v. Suppose -h*z = -3*z + 700. Round z to the nearest one thousand. -1000 Suppose -13*c - 37200 = -9*c. Round c to the nearest 1000. -9000 Let r = 65085540.5000049 - 65085548. Let j = r + 7.5. What is j rounded to 6 decimal places? 0.000005 Let y = -28.1 - -4.1. Let d = y + 23.99916. Round d to four decimal places. -0.0008 Let c = -0.6 - -0.59945. What is c rounded to 4 dps? -0.0006 Let z = 9 + -5. Let o be (-4)/8 - (-2240002)/z. Round o to the nearest one hundred thousand. 600000 Let a = -53.9999992 + 54. What is a rounded to 6 dps? 0.000001 Let t = 0.04 + -0.040028. Round t to five decimal places. -0.00003 Suppose 0 = -4*v + f + 15, -3*v - 4*f + 17 = f. Suppose -z + v*z = -111. Let q = -72 - z. Round q to the nearest ten. -40 Suppose -4*u + 147935 = 21847. Let i = 165191 - u. Let m = 48669 - i. What is m rounded to the nearest 10000? -90000 Let c = -15 + 14.92. Round c to 2 dps. -0.08 Let c = -1021835.00031 - -1021843. Let t = 8 - c. Round t to four decimal places. 0.0003 Let p = -223.427 + 223.3870006. Let v = -0.3 + 0.26. Let x = p - v. Round x to seven dps. 0.0000006 Let j = 26.4 - 26.40000524. What is j rounded to seven dps? -0.0000052 Let y be (-2 + 1)/(3/(-21)). Let l(n) = 40*n - 10. Let r be l(y). Let q be 4*(-1)/3*r. What is q rounded to the nearest 100? -400 Let c = -0.249 + -160.751. Let z = 161.0000159 + c. What is z rounded to six decimal places? 0.000016 Let m = -113.00321 + 113. Round m to 4 decimal places. -0.0032 Let a = -5348060.276157 + 5348064. Let r = -4.4438487 + a. Let m = -0.72 - r. What is m rounded to 6 decimal places? 0
{ "pile_set_name": "DM Mathematics" }
-75)/24. What is the fifth smallest value in 0.1, -0.2, 3, -1/4, x? 3 Let r = -821.4 - -802.4. Let u = -8 + 12. Which is the biggest value? (a) r (b) u (c) -2/11 (d) -1/2 b Let g = -695 + 562. Let z = -129 - g. Let t be 4/18 + 19/36. What is the third biggest value in z, t, 3? t Let v = -35/4 - -9. Suppose 3*g + 623 = -4*i, 2*g + 194 = -3*i - 274. Let f = i + 155. Which is the biggest value? (a) 3/8 (b) v (c) f (d) -0.07 a Let j be ((-18)/(-552))/(8 + (-86)/(-8)). What is the second biggest value in j, 0, -2? 0 Suppose -3*m + 20 = 2. Let k be (0 - 0/1) + 3. Let b = 533121 + -533117. What is the fourth biggest value in b, 0.4, k, m? 0.4 Let u = -325.88 + 37.58. Let h = u - -288. What is the second smallest value in -3/5, 3, 47, h? h Let b = -10.248 - -10.648. What is the second smallest value in -3/5, 0.3, 1/7, 2, b? 1/7 Let x = -1.9001 + 0.1201. Which is the second smallest value? (a) x (b) -2 (c) -4 b Let m = -523.77358 + 0.07358. Let r = -524 - m. Which is the smallest value? (a) -10 (b) -0.5 (c) 2 (d) r a Let a = -0.02697 - 0.17303. What is the fifth smallest value in a, 0.1, 0.7, -3, 4? 4 Let l be -2 + (3 - 6) + -12 + 13. Let y = -0.51 - -0.01. What is the third biggest value in y, l, 1/10, 3? y Let f = 0.497 - -155.303. Let y = f + -155. Which is the biggest value? (a) y (b) 1 (c) 2/3 b Let x = 78 - 70. Let o = -515 + 514.5. Let r be -1 + (-2 - -1) + 4. What is the third biggest value in x, r, o? o Let w = 220.9 + -138. Let l = w - 83. Which is the second smallest value? (a) 2/5 (b) 2/3 (c) -5 (d) l d Let g = -4652.5 - -4652. What is the biggest value in -4, g, 2/7, 0, 10? 10 Let p = -18701 - -18701. What is the second smallest value in p, 4, -1.05, 0.04? p Let r = 29.13 + -29. Let u = r - 0.23. Let y = 3.7 - 1.7. Which is the second smallest value? (a) y (b) u (c) 4 a Let x be (-296)/3*(-138)/92. Let u = 149 - x. What is the smallest value in -0.5, u, -1? -1 Let d = 29806 + -29734. What is the biggest value in 3, -0.3, d, -4? d Let g = 391918/475345 + -347/923. Let m = g + -5/103. Let y be ((-1)/6)/(7/3). Which is the third smallest value? (a) m (b) 2 (c) y (d) 0.5 d Let n = 2172.6 - 2171.6. Which is the fourth smallest value? (a) 3/2 (b) n (c) -2 (d) 333 d Let k = -10.5 + 14.1. Let u = k + 0. Let j = u - 6.6. What is the smallest value in -0.2, j, 3? j Suppose -3*g + 2*g = 2*g. Let i = -48/55 + 329/440. Which is the second smallest value? (a) i (b) g (c) -4 (d) 2 a Suppose 16*p + 9 = 19*p. Let j be p*(1 - 10/6). What is the third smallest value in 5, j, 3? 5 Let n = -140 + 139.565. Let z = 0.235 + n. Let i = 10 - 5. Which is the third smallest value? (a) i (b) 2/11 (c) -3/2 (d) z b Let j = 1.724 + -1.824. Let v = -0.49 + 0.19. Let p = -9 + 13. Which is the biggest value? (a) v (b) j (c) -2 (d) p d Suppose -51*h - 3*p - 13 = -55*h, -5*h + 2*p + 18 = 0. Which is the biggest value? (a) -0.3 (b) h (c) -0.5 (d) 0 (e) 0.2 b Let k = 3399 - 98583/29. Which is the third smallest value? (a) k (b) -5/4 (c) -0.3 c Let p = 4 - 4.01. Suppose -4*q + 36 - 4 = 4*x, 3*q + 8 = 5*x. Let z be (-1)/(-5)*((-6)/q + -6). Which is the biggest value? (a) p (b) -4 (c) z a Let k be (-350)/(-42) - (9 + 0). Suppose 0 = 3*n - 47 + 38. Which is the smallest value? (a) n (b) 0.15 (c) k c Let n(d) = 5*d**2 + 4*d - 4. Let q(r) = -r**2. Let x(j) = -2*n(j) - 14*q(j). Let v be x(1). What is the second biggest value in -2, v, 0.01, -0.05? 0.01 Suppose 0 = -5*c, 3*i + 24 = -0*i + c - 0*c. What is the biggest value in 6, -2/3, 0, -1, i? 6 Let m be (-1263)/(-18 - -21) - -3. Which is the biggest value? (a) -4 (b) 0.3 (c) m (d) -2/9 (e) 2/3 e Suppose -5*r + 14 = -2*r - 2*t, -3*t = 2*r + 8. Let g = -13756 - -13755. What is the third biggest value in g, r, 6? g Suppose -119*y + 7253 + 1943 = -16508. What is the biggest value in y, -5, 4, 2? y Suppose -2*y = -18 + 6. Let s be (-42)/18*-3 - (1 + (-468)/(-81)). What is the fourth biggest value in 2/7, s, 1, y? s Let m = -46.002 + 0.002. Let o = -35 - 6. Let d = o - m. Which is the smallest value? (a) -4 (b) 3/5 (c) d a Let j = -9992 - -9988. Which is the fourth smallest value? (a) j (b) -2 (c) 0.1 (d) 0.042 c Let l = -401.2 + 401.4. Let n = 7 + -8. What is the third biggest value in l, -2, 0.02, n? n Let j = 652/1655 - -2/331. Let b = -3.03 - -0.03. Let y = -4.988 + 4.588. What is the biggest value in y, 2/11, b, j? j Let n = 7.3 - 7.93. Let w = n - -0.628. Let f = 0.402 + w. Which is the smallest value? (a) f (b) -0.09 (c) -1 c Let n = 3.85 - -0.15. Let p be (-1 + (-90)/(-126))*7/3. What is the biggest value in -1/4, p, n, -5? n Let u = 0.0401 + 0.2599. Which is the biggest value? (a) -67/6 (b) 0 (c) u (d) -0.4 c Let r be (-14)/9 + 160/720. Let c = 1 + -5. What is the second biggest value in c, r, 13, 0.3? 0.3 Let f = 0.012 + -0.332. Let i = 0.82 + f. Which is the second smallest value? (a) 3 (b) 4 (c) 0.4 (d) i d Let z = 15349/20 - 3841/5. Which is the second biggest value? (a) -1 (b) -4/11 (c) z c Let o = 6941/103665 + -2/6911. What is the second biggest value in -33, o, -1/9? -1/9 Let o = 5.04 + -0.04. Let m = -7.9 + 7.963. Let f = m - -2.937. Which is the third biggest value? (a) f (b) o (c) -0.2 (d) -1/3 c Let p = -0.184 + -274.816. Let i = 275.5 + p. What is the second smallest value in -2/7, i, -2, 1/3? -2/7 Suppose 13 = 4*c + 5*r, -5*c - 3*r + 4 + 9 = 0. Let y = -37471 + 37475. What is the second biggest value in c, 1/4, 4/7, y? c Let u be (-1183)/429 + 4 + (-2)/(-22). What is the third smallest value in -6, -0.9, u, 1? 1 Let m = 5/148 - -8/37. Let i(j) = -j**2 - 2*j + 4. Let p be i(-4). Let q = -608 - -624. Which is the fourth smallest value? (a) q (b) -2 (c) m (d) p a Let q = 250131/4 + -62189. Let g = -342 + q. What is the biggest value in -3, g, -4? g Let w = -27 + -62. Let l be ((-9)/(-15))/((-26)/65). Which is the second biggest value? (a) l (b) 3/2 (c) w (d) 0.2 d Let c be 6/10 + 7 + -8. Let y = 5.9 - 10.7. Let o = -3.8 - y. What is the fourth biggest value in 2, c, o, -1? -1 Suppose -u = 245 + 22. Let h = u - -2939/11. Let q = -206 - -205.5. Which is the smallest value? (a) -4 (b) h (c) q a Let k = 434.5 - 436.5. Which is the second smallest value? (a) 1/9 (b) k (c) -1/3 (d) -0.03 c Let i = 531 - 531.5. Let q = 0 + -5. Let d be q/20 + 10/(-8). What is the biggest value in -3/4, i, -0.1, d? -0.1 Suppose 19*h = 234 - 6. What is the second smallest value in -0.2, -3/8, -2, h? -3/8 Let j = -6727.7 + 6728. Which is the fourth biggest value? (a) 0.1 (b) 6/11 (c) 0.6 (d) j (e) 1/4 e Let t = 300.3 - 304.3. Which is the smallest value? (a) -2/9 (b) 0.7 (c) t c Let u be (8/((-336)/33))/(5/(-2)). Let i = u - -3/35. Which is the biggest value? (a) -2/35 (b) i (c) -1 b Let q = 6807 - 20419/3. Which is the second smallest value? (a) 4 (b) 5 (c) q (d) 2 d Let j = -61 + 57. Let r be ((-5)/(-185))/((-1)/1). Which is the third smallest value? (a) 1/2 (b) r (c) j a Let m be (-3)/(-9) - 4*(-2)/(-42). Let s = -129.6 + 130. Which is the biggest value? (a) -9 (b) 1/6 (c) m (d) s d Let n be 45 + (-4 + 1)*1. Let m = 41 - n. Let h be m + -5 + 4 + 0. Which is the third smallest value? (a) 12 (b) h (c) -0.1 a Let f = 5.0374 - 0.0374. Let j = -2/269 + 815/1076. Which is the third smallest value? (a) -0.24 (b) f (c) j b Let o be ((-6)/168*-21)/((-2226)/(-16)). Let y = o + 30/53. What is the biggest value in 0.1, 0.2, y? y Let l(c) = -25*c**3 + 8*c - 1 - 10 - 8*c**2 + 24*c**3. Let g be l(-9). Let v be 0*(-4)/16*g. What is the second biggest value in 0.5, v, -1/3? v Let y = 53 - 67. Let g = y - -14.2. Let t be 1 - 2 - 1 - (-252)/112. Which is the biggest value? (a) g (b) t (c) -3 (d) 0.4 d Let o = -0.29 + -0.11. Let x be (50/80)/((-6)/(-8)). Let q = x + -5/2. Which is the fourth smallest value? (a) q (b) o (c) 5 (d) -4 c Let q = 374 + -422. Let l = -67 + 71. What is the third biggest value in 1, 2, q, l? 1 Let f = -3.1 + -0.9. Let t = -17133 + 17137. Which is the third biggest value? (a) 4/7 (b) 1 (c) f (d) t a Let q = 332 - 245. Let b = 81 - q. What is the second biggest value in b, 0, -0.05? -0.05 Suppose 57 = 237*i - 294*i. Let n = -0.6 - -1. What is the third biggest value in n, 5, i, 4? n Let g = -1
{ "pile_set_name": "DM Mathematics" }
nding order. 0.2, j, -4, -5 Let a = -0.13 + -2.87. Let p = 579/4 - 144. Sort -0.4, a, p in ascending order. a, -0.4, p Suppose 0 = o - 3, 8 = -4*t - 0*o - 4*o. Sort -8, -7, t in increasing order. -8, -7, t Let s be (24/(-18))/((-20)/(-12)). Sort s, -0.1, 0.3, 3 in descending order. 3, 0.3, -0.1, s Suppose 134*w = 122*w + 24. Put -84, 4, w in decreasing order. 4, w, -84 Let o = -608 - -414. Let l = o + 590/3. Let b = 2/7 + 18/35. Sort b, l, -0.5 in increasing order. -0.5, b, l Let u(i) = -5*i + 4. Let y be u(6). Let p = 28 + y. Put -4, -2, p, 7 in ascending order. -4, -2, p, 7 Let s = 176 + -173. Sort -4, -6, s, 10 in decreasing order. 10, s, -4, -6 Suppose -f + 2*f = 5. Suppose 3*y - 9 = 3*w, -20*w - 6 = -22*w - 4*y. Sort -4/7, f, w. w, -4/7, f Let f be (-2)/(-4)*1*10. Sort -4, 2, 0, f. -4, 0, 2, f Let u(h) = -17*h - 95. Let c be u(-6). Put c, -4, 1/4, 4/5 in descending order. c, 4/5, 1/4, -4 Suppose 0 = -p + 5 - 3. Let r be 6 - p - 3/3. Let j = 1 + -3. Put j, r, 1 in ascending order. j, 1, r Suppose 0 = -4*a - 2*k - 20, 0 = 6*k - k. Put a, -0.4, 0.2, 20 in ascending order. a, -0.4, 0.2, 20 Let j be 1203/(-15) + -1 + 1/5. Sort -1, -3, j. j, -3, -1 Let h = 115.5 + -116. Put h, 3, 50, -4/5 in descending order. 50, 3, h, -4/5 Let u = -661 - -666. Put 0.37, 2, u, -1 in descending order. u, 2, 0.37, -1 Let t = -0.864 - -0.564. Let c = 0.9 - 1. Sort t, 1, c, 5 in descending order. 5, 1, c, t Let o be 2*((-108)/(-40) + (-4)/20). Suppose 15 = -o*h - 0*h. Put h, -1, -2 in ascending order. h, -2, -1 Let h = 2.88 - 3. Let d = h + -0.08. Let v = -27 - -28. Sort v, -4, d in ascending order. -4, d, v Let z(w) = -3*w + 60. Let i be z(21). Sort i, -22, 3. -22, i, 3 Let p = -71 + 77. Sort -26, 1, p. -26, 1, p Let r be 66/(-165) + (54/10 - 1). Put r, 5, 2, 3 in descending order. 5, r, 3, 2 Let z be (-1 + -10 + 6 + 3)/17. Sort -2/5, z, 16 in increasing order. -2/5, z, 16 Suppose 0 = -7*o + 25 + 17. Suppose -3*z + o*z = 9. Suppose -3*b + 2*g + 1 = 0, -z*b - g = -5*b. Put 5, -5, b in descending order. 5, b, -5 Suppose -76*j = -77*j - 16. Sort -3, 0, j in ascending order. j, -3, 0 Let f = -14 - -14.1. Let y(x) be the first derivative of -x**2/2 + 2. Let w be y(3). Put 2/9, f, w in ascending order. w, f, 2/9 Let j = 89.3 + -89. Sort j, 0.5, 1/5, -0.02 in decreasing order. 0.5, j, 1/5, -0.02 Let j = -2 - -5. Let p = -22 - -0.5. Let l = 22 + p. Sort l, -0.3, j in descending order. j, l, -0.3 Let s = -137.1 - -132.1. Sort -1/3, -1, 0.2, s. s, -1, -1/3, 0.2 Suppose -76*j + 30 = -82*j. Sort 4, -3, j, -24 in increasing order. -24, j, -3, 4 Let z = -1.8 + -0.5. Let a = 6.3 + z. Put a, 0.5, -3 in increasing order. -3, 0.5, a Let g(h) = -2*h**2 + 9*h + 4. Let y be g(4). Sort 0, 5, -1, y in decreasing order. y, 5, 0, -1 Let u = -6.02 + 5.72. Sort -1, 3, u, -4/5 in ascending order. -1, -4/5, u, 3 Suppose 2*d - 43 = 5*p + 18, 145 = 5*d - 5*p. Let f = d - 32. Put f, 4, -3 in descending order. 4, -3, f Let u(a) = a + 6. Let y be u(-5). Suppose 3*k - 2*h = -y + 4, -2*k = 5*h - 21. Let d be 22/(-6) - 4*(-3)/18. Put d, k, 0 in ascending order. d, 0, k Let c(j) = -j**2 - 2*j + 24. Let b be c(-7). Let m be b/(-4) + 22 + -26. Sort 0.5, -0.5, m in decreasing order. 0.5, -0.5, m Let n = 0.873 + -0.373. Sort n, -1.3, 1 in descending order. 1, n, -1.3 Let n = -17 - -32. Let c be (-2)/8 + n/(-4). Suppose -57*b + 60*b = -3*x + 3, -5*b + 17 = x. Put b, 0, c in increasing order. c, 0, b Let f(i) = -6*i + i + 2*i - i**2 + 6*i. Let k be f(3). Suppose k = a + 4*o + 18, -a - 4*a - 15 = 5*o. Sort 0.5, 0.3, a in increasing order. 0.3, 0.5, a Let q = 566 + -573. Put -8, 4/5, q, 0 in descending order. 4/5, 0, q, -8 Let n be -1 - 9/(-5) - 1. Let g = -706 - -710. Sort 5, -0.3, g, n in decreasing order. 5, g, n, -0.3 Let x be 2/(2/(-27))*-13. Let g = x - 10180/29. Let u = g + 31/58. Put -0.5, -13, u in ascending order. -13, -0.5, u Suppose -3*h + 4*s + 56 = -h, -151 = -5*h - s. Suppose 5*i + h = 11*i. Sort 0, i, -3. -3, 0, i Let t(z) = 11*z + 32. Let n be t(3). Let o = n - 68. Put 3/7, o, 0.3 in descending order. 3/7, 0.3, o Let f(w) = w**3 + 18*w**2 + 2*w + 38. Let o be f(-18). Let l = -8 + 9. Put l, -2, o in ascending order. -2, l, o Let w = 8.496 + 0.104. Let p = 9 - w. Put p, 11, 5 in descending order. 11, 5, p Let m be (1 - 3/1)*-1 + -6. Let t be ((-14)/m + -4)/(2/(-20)). Sort t, -1, 4, 3. -1, 3, 4, t Suppose 0 = -5*b - 4*x - 199, 3*b + 5*x = -98 - 24. Let k be (-8)/12*(1 - b/(-12)). Sort -0.4, 2/7, 0, k in ascending order. -0.4, 0, 2/7, k Let k = -1.2 - 1.8. Let w = 1 + k. Sort w, 4, -4 in descending order. 4, w, -4 Let o = 23/3 - 109/15. Let n = 31 - 29.62. Let y = -1.58 + n. Put o, 0.5, y in descending order. 0.5, o, y Suppose 3*y - 10 - 4 = 5*f, f - 3*y + 10 = 0. Sort f, 5, 0, -11 in descending order. 5, 0, f, -11 Let j = -1254.1 + 1254. Let l = -0.9 + -0.1. Sort -5, l, j. -5, l, j Let y be -1 + 0 + (-1 - -7). Suppose -y*u + u = -16. Let v(p) = 18*p - 161. Let o be v(9). Put 3, u, o in descending order. u, 3, o Let h = 3 - 3.1. Let g(b) = -12*b + 207. Let i be g(17). Put i, h, -2 in decreasing order. i, h, -2 Let a(g) = g**2 - 28*g + 175. Let z be a(9). Put 1, -13, -3, z in ascending order. -13, -3, 1, z Suppose -471*g - 7 = -472*g + l, -5*g - 2*l = -56. Let k = -3 + 19/6. Sort k, 0.1, g, 3/8. 0.1, k, 3/8, g Let k = 185 - 242. Sort k, 2/3, 0.3. k, 0.3, 2/3 Let g(i) = -19*i + 39. Let y be g(2). Let l(p) = 2*p - 9. Let q be l(8). Put y, q, 0, -3 in increasing order. -3, 0, y, q Let f = 74.5 + -76.5. Sort 2/19, f, 5, -0.1 in descending order. 5, 2/19, -0.1, f Let w = 1052 + -3155/3. Sort w, 1/5, -3 in descending order. w, 1/5, -3 Let z = -16.6 - 3.4. Let y = -64 - -45. Let f = y - z. Sort 3/8, 1/2, f. 3/8, 1/2, f Let k = 0.381 - 4.381. Let u be 6 + -7 + (-6)/(-15). Sort k, 4/7, u in descending order. 4/7, u, k Let p = -76 + 43. Let n = -17 - p. Let k = n + -13. Sort -0.4, k, 1 in decreasing order. k, 1, -0.4 Let g = 0.1882 + -5.2432. Let z = -0.055 - g. Let n = 0.1 - 0. Put z, 4, n in descending order. z, 4, n Let j = -15.8 + 14.8. Put j, -1/2, -2 in descending order. -1/2, j, -2 Let m = -306 + 304. Let u(x) = -x**3 - 8*x**2 + 10*x - 3. Let d be u(-9). Sort -1, d, m. d, m, -1 Suppose p + 7 = -f - 0*f, p = -3*f - 15. Suppose 5*d - 25 = -8*c + 3*c, -4*d + 15 = 3*c. Let t = 5 - 2. Sort f, t, c. f, t, c Suppose 5*t + 8 = 28. Suppose -5*m = -4*g - 13, 3*m - 29 + 2 = -4*g. Sort t, g, 1, -5 in descending order. t, g, 1, -5 Suppose -80 = 8*h - 48. Sort -3, -5, h, -13 in increasing order. -13, -5, h, -3 Let k = 0.038 + -0.038. Put 9, k, 0.4 in increasing order. k, 0.4, 9 Let h(v) = v**3 + 2*v**2 - v - 1. Let q be h(0). Sort 4, 0, q, 1 in decreasing order. 4, 1, 0, q Suppose 540*j - 36 = 558*j. Put -2/5, 3, j in decreasing order. 3, -2/5, j Let a(g) = g**2 + 2*g - 95. Let c be a(-13). Sort c, -4, 8 in descending order. c, 8, -4 Let h = 0 + 7. Let d = -6 + h. Let l = 316 - 318. Sort d, -5, l in ascending order. -5, l, d Let a = -15 + 22. Sort -5, 3, 1, a. -5, 1, 3, a Let x = 18 - 20. Let b be -1 - (0 - 5 - 1). Suppose -12 = -t + b*j, 3*t - 5 = j + 3. Sort x, t, -1 in decreasing order. t, -1, x Let x = 194 - 194.4. Put 2/3, -0.1, -2, x in decreasing order. 2/3, -0.1, x, -2 Let x be 2/(-6)*(-12 + 9). Suppose -2*c + 3*m + 0*m = -7, 15 = 2*c + 5*m. Suppose -4*q - 6 = 2*j, 3*j - c = 2*q - q. Sort x, q, -3. -3, q, x Let i be 11*-1*(819/143 + -6). Let d(p) = -p**3 - 2*p**2 + p. Let t be d(-2). Sort 5, i, 0, t in decreasing order. 5, i, 0, t Let v = 2.808 - -0.192. Let w = -1.5 - -2. Put -2/7, 0, v, w in decreasing order. v, w, 0, -2/7 Suppose -34 = -3*u + 5*u. Let k = -12 - u. Suppose -25 = -k*o - q, 0 = -4*q + 20. Sort 3, o, -4 in decreasing order. o, 3, -4 Let n = -0.3 + 0.3. Let q = 77.5 - 71. Let h = 6.9 - q. Sort n, h, -2/7. -2/7, n, h Suppose -2*l = -4*l - 3*i + 33, 5*l - 5*i = 20. Let z = l - 14. Let d = 1 + z. Put 10, -1, d in ascending order. d, -1, 10 Let g(p) = p + 4. Let x be g(-2). Suppose -15*a = -9*a + 18. Put 3, x, a in descending order. 3, x, a Let l(v) = -v**3 - 8*v**2 - 6*v + 5. Let r be l(-7). Let d(c) = -c**2 - 5*c - 1. Let h be d(-4). Let w be h/3 + -1 + 2. Put -5, w, r in descending order. w, r, -5 Let m = -43 + -96. Let l = m + 144. Sort 2/5, 4/5, l, 3 in increasing order. 2/5, 4/5, 3, l
{ "pile_set_name": "DM Mathematics" }
f 683645903. 683645903 What are the prime factors of 1176524251? 7, 19, 59, 21419 List the prime factors of 359620704. 2, 3, 1021, 1223 What are the prime factors of 43372054? 2, 11, 71, 27767 List the prime factors of 369171186. 2, 3, 107, 575033 What are the prime factors of 56251405? 5, 7, 1607183 List the prime factors of 101301280. 2, 5, 633133 List the prime factors of 904328463. 3, 1523, 197927 List the prime factors of 1324228757. 1324228757 List the prime factors of 1121445. 3, 5, 13, 71 What are the prime factors of 1912489466? 2, 419, 2282207 List the prime factors of 23833956. 2, 3, 41, 193, 251 List the prime factors of 33184456. 2, 4148057 What are the prime factors of 73595791? 23, 89, 157, 229 List the prime factors of 132727934. 2, 59, 1124813 List the prime factors of 30994669. 67, 462607 List the prime factors of 2653365731. 431, 811, 7591 What are the prime factors of 3240546154? 2, 17, 95310181 List the prime factors of 279646788. 2, 3, 19, 23, 53327 List the prime factors of 23662705. 5, 11, 103, 4177 List the prime factors of 162316392. 2, 3, 7, 19, 211, 241 What are the prime factors of 57722810? 2, 5, 5772281 What are the prime factors of 2536552399? 2536552399 What are the prime factors of 1041692104? 2, 53, 79, 137, 227 What are the prime factors of 1197462670? 2, 5, 263, 455309 List the prime factors of 50373909. 3, 37, 151273 List the prime factors of 116199887. 23, 5052169 List the prime factors of 35490227. 61, 223, 2609 List the prime factors of 276561657. 3, 30729073 List the prime factors of 327633117. 3, 7, 97, 160841 What are the prime factors of 3611143606? 2, 7, 257938829 What are the prime factors of 399793528? 2, 49974191 What are the prime factors of 1852419725? 5, 13, 19, 31, 9677 What are the prime factors of 325544030? 2, 5, 7, 263, 17683 List the prime factors of 3282817198. 2, 17, 43, 2245429 List the prime factors of 594909318. 2, 3, 99151553 List the prime factors of 63013319. 63013319 What are the prime factors of 181829083? 71, 2560973 List the prime factors of 459897140. 2, 5, 22994857 List the prime factors of 1320178331. 71, 18594061 What are the prime factors of 20632004? 2, 5158001 What are the prime factors of 1419683219? 163, 8709713 List the prime factors of 163994589. 3, 11, 1117, 1483 What are the prime factors of 1332698026? 2, 11, 60577183 List the prime factors of 2795025294. 2, 3, 1423, 109121 List the prime factors of 16344123. 3, 17, 19, 101, 167 List the prime factors of 59806304. 2, 1868947 List the prime factors of 1959392576. 2, 127, 241067 List the prime factors of 63606199. 63606199 List the prime factors of 30521505. 3, 5, 7, 19, 15299 List the prime factors of 193277234. 2, 19, 23, 103, 113 What are the prime factors of 58071666? 2, 3, 9678611 List the prime factors of 1167422707. 11, 23, 31, 47, 3167 List the prime factors of 140879380. 2, 5, 7043969 List the prime factors of 32440305. 3, 5, 37, 58451 List the prime factors of 3652750382. 2, 23, 157, 505781 What are the prime factors of 37570046? 2, 43, 307, 1423 What are the prime factors of 1358661091? 1358661091 What are the prime factors of 79167288? 2, 3, 23, 143419 What are the prime factors of 22095992? 2, 2761999 What are the prime factors of 132640567? 71, 311, 6007 What are the prime factors of 102292959? 3, 751, 45403 What are the prime factors of 177983330? 2, 5, 7, 2542619 What are the prime factors of 115625577? 3, 23, 1675733 List the prime factors of 68919194. 2, 19, 743, 2441 What are the prime factors of 26780584? 2, 3347573 List the prime factors of 196252236. 2, 3, 71, 76781 What are the prime factors of 67158050? 2, 5, 1343161 List the prime factors of 31880734. 2, 157, 101531 What are the prime factors of 145709628? 2, 3, 43, 282383 List the prime factors of 199668095. 5, 11, 37, 59, 1663 List the prime factors of 42628677. 3, 7, 13, 22307 What are the prime factors of 2109484? 2, 13, 113, 359 List the prime factors of 94077337. 17, 23, 240607 List the prime factors of 527510038. 2, 11, 23977729 What are the prime factors of 61946741? 61946741 List the prime factors of 309206406. 2, 3, 631, 81671 List the prime factors of 428519850. 2, 3, 5, 11, 17, 15277 List the prime factors of 182923303. 373, 593, 827 List the prime factors of 165925379. 401, 413779 What are the prime factors of 36509714? 2, 18254857 What are the prime factors of 73061193? 3, 181, 197, 683 What are the prime factors of 742251372? 2, 3, 41, 97, 103, 151 List the prime factors of 62615068. 2, 15653767 What are the prime factors of 209958607? 19, 11050453 What are the prime factors of 3616920009? 3, 19, 31, 35911 List the prime factors of 177292621. 11, 16117511 List the prime factors of 13243569. 3, 1543, 2861 What are the prime factors of 285956181? 3, 7, 41, 149, 743 List the prime factors of 231601411. 6203, 37337 List the prime factors of 213053818. 2, 71, 1500379 List the prime factors of 137800842. 2, 3, 127, 193, 937 List the prime factors of 93138894. 2, 3, 29, 113, 1579 List the prime factors of 1090371563. 19, 57387977 What are the prime factors of 129009496? 2, 7, 11, 209431 List the prime factors of 24381621. 3, 11, 17, 439 List the prime factors of 73344566. 2, 36672283 List the prime factors of 843399352. 2, 105424919 What are the prime factors of 101598860? 2, 5, 11, 41983 What are the prime factors of 1707550? 2, 5, 13, 37, 71 What are the prime factors of 225758024? 2, 28219753 List the prime factors of 1709343205. 5, 37, 9239693 List the prime factors of 3554038089. 3, 7, 397, 142099 List the prime factors of 28001942. 2, 47, 297893 List the prime factors of 57995176. 2, 7249397 What are the prime factors of 191866414? 2, 23, 4171009 What are the prime factors of 16023216? 2, 3, 11, 30347 What are the prime factors of 164667990? 2, 3, 5, 601, 9133 What are the prime factors of 3723362228? 2, 151, 6164507 What are the prime factors of 97511460? 2, 3, 5, 101, 16091 What are the prime factors of 1011140422? 2, 47, 10756813 List the prime factors of 1212600485. 5, 242520097 List the prime factors of 31462549. 53, 593633 List the prime factors of 45601987. 45601987 List the prime factors of 135098590. 2, 5, 11, 53, 23173 What are the prime factors of 1056528320? 2, 5, 193, 17107 List the prime factors of 38075289. 3, 7, 29, 103, 607 List the prime factors of 1253860171. 1253860171 List the prime factors of 109232572. 2, 27308143 What are the prime factors of 1650685445? 5, 330137089 What are the prime factors of 3362578698? 2, 3, 787, 712109 List the prime factors of 286104917. 7, 17, 131, 18353 What are the prime factors of 1950617229? 3, 11, 59109613 List the prime factors of 142422031. 142422031 What are the prime factors of 21612766? 2, 7, 19, 31, 2621 List the prime factors of 231357910. 2, 5, 7, 472159 List the prime factors of 1307438698. 2, 21803, 29983 List the prime factors of 924533027. 11, 19, 4423603 What are the prime factors of 40076195? 5, 47, 170537 List the prime factors of 19033764. 2, 3, 1586147 List the prime factors of 102602167. 102602167 List the prime factors of 4308696487. 42611, 101117 What are the prime factors of 203719555? 5, 13, 3134147 List the prime factors of 65468635. 5, 13093727 List the prime factors of 2836404059. 2836404059 What are the prime factors of 123597993? 3, 1831, 22501 List the prime factors of 161005585. 5, 13, 911, 2719 List the prime factors of 29796864. 2, 3, 19, 1021 What are the prime factors of 1664990699? 977, 1704187 List the prime factors of 476874573. 3, 7, 79, 223, 1289 List the prime factors of 2031388947. 3, 7, 863, 37363 List the prime factors of 2311784669. 31, 59, 1263961 List the prime factors of 5945462594. 2, 373, 617, 12917 List the prime factors of 709044532. 2, 7, 347, 72977 What are the prime factors of 234829676? 2, 37, 59, 26893 What are the prime factors of 1895186795? 5, 251, 1510109 What are the prime factors of 127701244? 2, 11, 23, 257, 491 List the prime factors of 5359164. 2, 3, 446597 List the prime factors of 16595310. 2, 3, 5, 101, 5477 What are the prime factors of 214857523? 173, 1241951 List the prime factors of 75526733. 17, 23, 193163 List the prime factors of 2819549329. 173, 16297973 List the prime factors of 108159664. 2
{ "pile_set_name": "DM Mathematics" }
) n (c) t a Let z = 1.21 - 0.21. Let b = 0.7 - z. What is the biggest value in 2/5, -5, b? 2/5 Let o = -0.2 + 0.3. Let w = 6.9 - 7. Let t = o + w. Which is the third biggest value? (a) 1 (b) t (c) 6/11 b Let h = 19 - 75/4. Which is the biggest value? (a) -0.2 (b) h (c) 0.2 (d) 0.1 b Let t = 13 + -15. Let n be -1*(-1 + t + 4). Which is the second biggest value? (a) -1/4 (b) 1 (c) n a Suppose -1 - 1 = -5*j + i, -17 = -2*j - 5*i. Let z = 0.3 - 0.4. What is the biggest value in -3, j, z? j Let n(m) = m**3 - 6*m**2 + 4*m + 1. Let p be n(5). What is the smallest value in -3, 2, p? p Let y = 158/3 - 799/15. What is the biggest value in y, 0, -4/3? 0 Let u = -0.01 + 0.05. Let m = u - -0.4. Let d = -0.04 + m. Which is the third smallest value? (a) 4 (b) 3/4 (c) d a Suppose 22 = -o - 30. Let l = -158/3 - o. Let b = -0.8 + 1. What is the smallest value in 0, l, b? l Let a = 0.08 + -0.38. What is the third smallest value in -2, 2/3, a? 2/3 Let q = 4.99 + 0.01. Which is the third smallest value? (a) 3 (b) q (c) -0.1 b Let u(v) = -2*v**2 + 8*v - 4. Let y be u(4). What is the second biggest value in 0.2, -7, y? y Let i = -26 - -27.3. Which is the second smallest value? (a) -0.2 (b) i (c) 2 b Let y = -38 + 34. What is the third biggest value in y, 1, 2/7? y Let p be (1 - (-16)/(-14))/1. Let w = -0.06 + 0.06. Which is the smallest value? (a) p (b) w (c) 0.3 a Let o(h) = h**2 + 17*h + 18. Let y be o(-16). Which is the third smallest value? (a) -1/2 (b) y (c) -1/4 (d) -3/5 c Let z = 2.8 - 2.6. What is the third biggest value in z, 0.07, 0.3? 0.07 Let q = 5.95 + -6. Let g = -0.25 - q. What is the second smallest value in g, -2, 2/9? g Let x = 0.04 - -0.03. Let u = x - 3.07. What is the second smallest value in 0.3, 2, u? 0.3 Suppose -4*o + 88 = 268. Let s be 2*o/6*-1. Let x be 10/s*3/(-2). Which is the third biggest value? (a) -0.3 (b) x (c) -2 c Let d = 1/35 - 3/7. Suppose -4*j = 4*z + 8, 5*j + 3*z + 12 = -4. Which is the biggest value? (a) d (b) j (c) 2 c Let h = -138188/195 + 3542/5. Let p = -1327/13 - -102. Let r = h + p. Which is the biggest value? (a) 2 (b) 1/3 (c) r a Let z = 0.15 + -0.2. Let o = 1.05 + z. What is the third smallest value in o, -5, -3/5? o Let l = -37 + 32. Which is the second biggest value? (a) -0.3 (b) 3/10 (c) l a Suppose -2*h - h = -27. Let u be 1/h*(2 + 0). Which is the second smallest value? (a) -4 (b) -2/3 (c) u b Let u = 5 - 5.2. Which is the third biggest value? (a) -1/2 (b) -7 (c) u b Let s be 153/(-324) - 2/(-8). Which is the third biggest value? (a) 0.07 (b) 1 (c) -3 (d) s d Let y = 3.6 - 6.6. What is the fourth smallest value in y, -4, -1, 3/7? 3/7 Let h be 24/(-18)*3/(-166). Let k = h + -87/166. Which is the second biggest value? (a) 3 (b) k (c) -1/4 c Let q = -14 + 14. Which is the second smallest value? (a) -1/4 (b) 5 (c) q c Let x = -1 - 1. Let k = 9 + -11. Let i = k - 1. Which is the third biggest value? (a) x (b) i (c) -2/5 b Let v = 6.4 - 6. Which is the second smallest value? (a) -8 (b) -4 (c) v b Let y = -5.6 + 6. Let z = -0.4 + y. Suppose p + 5 = 0, 3*p + 9 = -c - 2*c. What is the second biggest value in -0.2, z, c? z Let r = 11 + -10.1. Let w = 0.4 - r. Let k = -4.4 - -4. Which is the smallest value? (a) w (b) k (c) 0.3 a Let m = -162 - -164. Let k be (-123)/132 + 2/11. Which is the biggest value? (a) -0.1 (b) k (c) m c Let i = -963/7 - -138. Let o = 0.343 + 0.087. Let m = o + -0.03. What is the third smallest value in 2, i, m? 2 Let u(n) = -n**2 - 15*n - 32. Let q be u(-12). Let t = -3 - -2.6. What is the smallest value in q, 3, t? t Let y = 0.1 - -0.3. Let j = 0.21 - -0.79. Let h = 0 + j. What is the third smallest value in 0.1, h, y? h Let s = 61 + -55. Which is the third smallest value? (a) s (b) 5 (c) -3 a Let d = -0.12 + 6.12. Let b = -4 + d. What is the second biggest value in b, 4, -0.2? b Let g = 311/8 + -39. Let l = -12.4 - -12. What is the smallest value in -1/5, l, g? l Let u = 0.2 + 0. Let i = -1 + 1.3. Let z = u - i. Which is the second biggest value? (a) 0 (b) -1/8 (c) z c Let w = 2 - 5. Suppose -5*j = 5*f - 30, -5*j - 13 = f - 35. Suppose 0 = -j*t - t. Which is the smallest value? (a) t (b) 5 (c) w c Suppose -4*w - 2 = -18. Let z = 1 + -0.5. Which is the third biggest value? (a) w (b) 2 (c) z c Let l be 6/(-3 + (-6)/(-9)). Let j = l - -51/28. What is the smallest value in 1, -3/2, j? -3/2 Let v(s) = -4*s - 4. Let t be v(-3). Suppose 4*k - 12 = t. Let w = 698/7 - 100. Which is the second biggest value? (a) k (b) w (c) -1 b Let z = -4 - -0.7. Let h = 0.7 - z. What is the second biggest value in h, 5, 0.3? h Let j be (40 + -30)*(1/2 - 0). What is the second biggest value in -4, -3, j? -3 Let j = 0.25 + -0.15. What is the second biggest value in 5, 2, j, -0.4? 2 Let f be 40/(-15) - (1 + -3). What is the second smallest value in -0.3, 0.3, f? -0.3 Let h = -5 - -8. Let s = -19 - -15. Which is the second smallest value? (a) h (b) s (c) -1/4 c Let w = 0 + -2. What is the second biggest value in w, 1/2, -0.2? -0.2 Let j = 28 + -28.4. What is the third smallest value in j, 0.5, 1? 1 Let d = 3.06 + -0.06. Let f = d + -5.1. Let p = 2 + f. What is the third smallest value in -2/9, -4, p? p Let u = -19.01 + 0.01. Let s = u - -14. Which is the third smallest value? (a) -0.2 (b) s (c) 2/19 c Let m = 0.001 - 1.001. Which is the third biggest value? (a) 3 (b) 0.4 (c) m (d) -0.02 d Let i = -269 + 3495/13. Let s = 0.06 - 2.06. What is the smallest value in s, i, 1/5? s Let y = -1 - -1.5. Let r = y - 0.8. Let k = -3 - -4. Which is the second biggest value? (a) k (b) r (c) -2 b Let a be (-104)/54 + 3 + -1. Let j = 7 - 6. What is the third smallest value in a, -3/2, j? j Let d = -12.1927 - -0.2027. Let j = 12 + d. Which is the second smallest value? (a) 2/15 (b) j (c) -2/5 b Let m be 12/(-16) - (-6 - -4). Let l be (-1)/2 + 9/6. Let j be 2/l + 5/(-4). What is the third biggest value in j, -3, m? -3 Let q be 2/30*747/102. Let s = q + -3/34. Let t = 3 + -2. Which is the biggest value? (a) s (b) -4 (c) t c Let u = 0.62 + 4.38. What is the third biggest value in -0.4, u, -0.1, 6/7? -0.1 Let x(y) = -y + 1. Let m be x(-4). What is the third biggest value in -3, m, 0.4? -3 Let f = 270/31 + -27332/3131. What is the second biggest value in f, 1/2, 0.1? 0.1 Let s = -0.19 + -9.81. Let m = -5 - s. What is the second smallest value in 0.3, m, 3? 3 Let i = -1355.92 + 1332. Let s = i - -24. Which is the third smallest value? (a) -0.2 (b) 4 (c) s b Let g = -4 - 6. Let z = 3 - g. Which is the second biggest value? (a) -4 (b) 0.1 (c) z b Let o = 3 - 0. Let f = -1145/22 - -52. Let w = 91/66 + f. Which is the smallest value? (a) w (b) o (c) -2/15 c Let k = -26 - -27. What is the second biggest value in k, -1, 0.5? 0.5 Let o = -9 + 6. Let w = -0.04 + 2.04. Which is the third biggest value? (a) o (b) 5 (c) w a Let f = -7 + 6.5. What is the second biggest value in 2/5, f, -1/5? -1/5 Let k = 4.8 + -7.8. Which is the third biggest value? (a) -1/3 (b) k (c) 0 (d) 1/4 a Let s = -5 - -7. Let g = 143/171 - 18/19. Which is the second biggest value? (a) 0 (b) g (c) s a Suppose 2*l + 2 = -2*p, 4*l + 24 = p - 0*l. Suppose -5*q = x - 5 + 26, -3*q + p*x = 8. Let i = -0.1 + 0.2. What is the third smallest value in 0, q, i? i Let t(d) = -d**2 - 4*d + 5. Let o = 2 + -6. Let w be t(o). Let c = -260/3 + 88. What is the smallest value in c, w, -4? -4 Let m = -0.9 - -1.4. What is the second biggest value in m, -0.2, 0.1, -5? 0.1 Let u = -136 + 140.02. Let y = u - 4. Let s = y + -4.02. What is the smallest value in 0, 1, s? s Let r = 2.6 + -2.4. Which is the second smallest value? (a) 1/3 (b) r (c) 1/6 b Let v = 0.1 + 0. Let j be 16/(-40) + 136/(-10). Let t = -9 - j. Which is the biggest value? (a) v (b) -0.2 (c) t c Let q be (-6)/(-21) - (-9)/(-21). Which is the third smallest value? (a) -8 (b) -0.4 (c) q c Let u be (-38)/14 - (3 - 6). What is the smallest value in 0.4, 5, u? u Let l = -0.06 - -2.06. Let i = -2 - l. What is the second smallest value in 1, -0.4, i? -0.4 Let i = -7.3 + 0.3. Let v = i - -6. Which is the biggest value? (a) v (b) 0 (c) 5 c Let n = -1.7 + 1.8. Which is the smallest value? (a) -1 (b) 5 (c) 1/2 (d) n
{ "pile_set_name": "DM Mathematics" }
the prime factors of 1450555353. 3, 13, 12397909 List the prime factors of 4762900698. 2, 3, 31, 25606993 List the prime factors of 936133643. 6367, 147029 What are the prime factors of 3411878447? 37, 269, 342799 List the prime factors of 43819074. 2, 3, 13, 271, 691 List the prime factors of 50559333. 3, 11, 199, 7699 List the prime factors of 709170307. 19, 307, 121579 What are the prime factors of 1488532366? 2, 1481, 502543 List the prime factors of 254572193. 254572193 What are the prime factors of 51014042? 2, 17, 1500413 What are the prime factors of 449643335? 5, 1597, 56311 List the prime factors of 106728683. 37, 2884559 What are the prime factors of 111890830? 2, 5, 101, 139, 797 List the prime factors of 2405986728. 2, 3, 53, 1891499 What are the prime factors of 300147104? 2, 17, 19, 71, 409 List the prime factors of 82257538. 2, 11, 43, 89, 977 What are the prime factors of 268057439? 13, 20619803 List the prime factors of 314748125. 5, 139, 3623 List the prime factors of 1107228308. 2, 276807077 List the prime factors of 215464966. 2, 23, 367, 12763 List the prime factors of 34131336. 2, 3, 43, 33073 What are the prime factors of 483193448? 2, 17, 3552893 List the prime factors of 266942731. 11, 103, 235607 List the prime factors of 1595012483. 1595012483 List the prime factors of 1122131185. 5, 7, 32060891 What are the prime factors of 369522163? 23, 16066181 List the prime factors of 120313943. 23, 5231041 What are the prime factors of 1227078722? 2, 197, 491, 6343 List the prime factors of 9021780093. 3, 59, 2029, 25121 List the prime factors of 63496572. 2, 3, 1987, 2663 List the prime factors of 13887298. 2, 101, 68749 List the prime factors of 65170846. 2, 13, 2506571 List the prime factors of 1791771777. 3, 199085753 List the prime factors of 358826032. 2, 4337, 5171 List the prime factors of 21482134. 2, 233, 46099 What are the prime factors of 62380939? 17, 215851 What are the prime factors of 992544407? 997, 995531 What are the prime factors of 137479871? 137479871 List the prime factors of 5300712. 2, 3, 83, 887 What are the prime factors of 82244289? 3, 59, 131, 3547 What are the prime factors of 32896344? 2, 3, 13, 105437 List the prime factors of 416096399. 416096399 List the prime factors of 34440869. 1423, 24203 List the prime factors of 874486810. 2, 5, 1061, 82421 List the prime factors of 1240184594. 2, 11, 29, 1943863 What are the prime factors of 1498156? 2, 11, 79, 431 List the prime factors of 65021078. 2, 19, 1711081 What are the prime factors of 286334270? 2, 5, 1151, 24877 List the prime factors of 4910768617. 23, 157, 1359947 What are the prime factors of 1126178583? 3, 17, 19, 37, 101, 311 List the prime factors of 4970553. 3, 7, 23, 41, 251 List the prime factors of 58663235. 5, 11732647 List the prime factors of 5282223955. 5, 1056444791 List the prime factors of 2225496854. 2, 7, 4337, 36653 List the prime factors of 157987907. 7, 11, 19, 15427 List the prime factors of 24846565. 5, 4969313 List the prime factors of 2513277465. 3, 5, 199, 4231 List the prime factors of 4980583733. 4980583733 List the prime factors of 31656835. 5, 7, 29, 31189 What are the prime factors of 2352682046? 2, 11, 13, 8226161 What are the prime factors of 16605796? 2, 271, 15319 List the prime factors of 1301237859. 3, 29, 14956757 What are the prime factors of 35788435? 5, 37, 193451 What are the prime factors of 88738965? 3, 5, 7, 41, 6871 What are the prime factors of 55747094? 2, 13, 59, 36341 List the prime factors of 454084564. 2, 103, 1102147 List the prime factors of 394033523. 13, 233, 130087 What are the prime factors of 2240184703? 9587, 233669 What are the prime factors of 267585202? 2, 17, 1201, 6553 What are the prime factors of 297440417? 43, 59, 117241 List the prime factors of 2655816085. 5, 13, 29, 971, 1451 List the prime factors of 174470441. 127, 269, 5107 List the prime factors of 2093486374. 2, 7, 149534741 What are the prime factors of 1818345640? 2, 5, 193, 235537 List the prime factors of 401933059. 11, 71, 514639 What are the prime factors of 4759226909? 47, 151, 670597 What are the prime factors of 60979873? 19, 3209467 What are the prime factors of 274499797? 11, 13, 41, 46819 What are the prime factors of 133039964? 2, 53, 627547 List the prime factors of 771544422. 2, 3, 11, 17, 229217 List the prime factors of 467699844. 2, 3, 59, 660593 List the prime factors of 4349580752. 2, 11, 157, 157411 List the prime factors of 260355107. 1973, 131959 List the prime factors of 1362513388. 2, 340628347 List the prime factors of 4242600368. 2, 113, 443, 5297 What are the prime factors of 639044687? 639044687 What are the prime factors of 19288881? 3, 23, 89, 349 List the prime factors of 2392741373. 11, 5101, 42643 List the prime factors of 212850731. 43, 109, 45413 What are the prime factors of 314376135? 3, 5, 101, 207509 List the prime factors of 403793482. 2, 191, 1057051 List the prime factors of 147462048. 2, 3, 512021 List the prime factors of 122889255. 3, 5, 47, 174311 What are the prime factors of 6226219? 41, 181, 839 What are the prime factors of 6906677? 6906677 List the prime factors of 115542614. 2, 11, 821, 6397 List the prime factors of 35411001. 3, 29, 407023 List the prime factors of 44030920. 2, 5, 1100773 List the prime factors of 8033949260. 2, 5, 181, 2219323 List the prime factors of 73359184. 2, 59, 77711 List the prime factors of 2410555393. 151, 2371, 6733 What are the prime factors of 107416639? 11, 59, 165511 List the prime factors of 440777145. 3, 5, 599, 49057 What are the prime factors of 323595680? 2, 5, 17, 271, 439 List the prime factors of 251054416. 2, 79, 83, 2393 List the prime factors of 40153114. 2, 20076557 List the prime factors of 427913278. 2, 13, 16458203 What are the prime factors of 242077668? 2, 3, 7, 23, 125299 What are the prime factors of 34788211? 457, 76123 What are the prime factors of 38359842? 2, 3, 127, 50341 List the prime factors of 72218739. 3, 811, 29683 What are the prime factors of 71640285? 3, 5, 23, 207653 What are the prime factors of 3281560786? 2, 7, 71, 3301369 What are the prime factors of 135161255? 5, 43, 97, 6481 List the prime factors of 400401573. 3, 11, 13, 19, 49123 What are the prime factors of 6001860519? 3, 666873391 List the prime factors of 6033835289. 6033835289 List the prime factors of 94255764. 2, 3, 587, 13381 What are the prime factors of 213498174? 2, 3, 19, 29, 64579 What are the prime factors of 646693925? 5, 2213, 11689 List the prime factors of 1050791664. 2, 3, 13, 419, 4019 What are the prime factors of 6374838356? 2, 23741, 67129 List the prime factors of 27015857. 11, 2455987 What are the prime factors of 209758132? 2, 41, 1279013 List the prime factors of 192464759. 23, 8368033 What are the prime factors of 622778899? 622778899 List the prime factors of 904920431. 79, 11454689 List the prime factors of 2893741756. 2, 723435439 What are the prime factors of 309350069? 7, 23, 967, 1987 What are the prime factors of 45497013? 3, 23, 37, 71, 251 What are the prime factors of 8351800? 2, 5, 41759 List the prime factors of 66922505. 5, 13, 1029577 List the prime factors of 37702442. 2, 18851221 What are the prime factors of 12838685? 5, 79, 32503 List the prime factors of 183787765. 5, 7, 17, 308887 List the prime factors of 53449800. 2, 3, 5, 89083 List the prime factors of 53910867. 3, 17970289 List the prime factors of 301028376. 2, 3, 11, 313, 3643 List the prime factors of 176329719. 3, 2111, 9281 What are the prime factors of 7793529562? 2, 7, 13, 71, 139, 4339 What are the prime factors of 463641020? 2, 5, 1459, 15889 What are the prime factors of 769749483? 3, 277, 926293 List the prime factors of 1702793973. 3, 47, 12076553 List the prime factors of 260071421. 67, 113, 34351 What are the prime factors of 1280247376? 2, 127, 630043 What are the prime factors of 5202257609? 37, 140601557 List the prime factors of 2541590214. 2, 3, 19, 163, 136777 What are the prime factors of 78475134? 2, 3, 97, 134837 List the prime factors of 823058590. 2, 5, 131, 628289 What are the prime factors of 301530253? 23, 181, 72431 List the prime factors of 174913887. 3, 1429, 40801 What are the prime factors of 27851
{ "pile_set_name": "DM Mathematics" }
00943 is divided by 12? 3 Calculate the remainder when 2982064 is divided by 265. 19 What is the remainder when 2291235 is divided by 41653? 320 What is the remainder when 6970538 is divided by 7? 1 Calculate the remainder when 1596341 is divided by 319267. 6 Calculate the remainder when 22548 is divided by 7483. 99 Calculate the remainder when 828982424 is divided by 11. 6 What is the remainder when 39975 is divided by 39011? 964 What is the remainder when 23358 is divided by 5961? 5475 Calculate the remainder when 19365556 is divided by 165. 1 Calculate the remainder when 5979232 is divided by 3147. 3079 Calculate the remainder when 338840 is divided by 22589. 5 What is the remainder when 17093734 is divided by 17093681? 53 Calculate the remainder when 38776 is divided by 38240. 536 What is the remainder when 1244761 is divided by 232? 81 What is the remainder when 169786625 is divided by 10? 5 Calculate the remainder when 254450315 is divided by 2814. 2807 What is the remainder when 1142666 is divided by 24? 2 What is the remainder when 10191342 is divided by 172? 170 What is the remainder when 828127 is divided by 4712? 3527 What is the remainder when 358262 is divided by 262? 108 What is the remainder when 499565 is divided by 498791? 774 What is the remainder when 87715 is divided by 1204? 1027 Calculate the remainder when 198027124 is divided by 32. 20 What is the remainder when 1781327 is divided by 890660? 7 Calculate the remainder when 9964638 is divided by 2710. 2678 Calculate the remainder when 2115540 is divided by 506. 460 What is the remainder when 171092 is divided by 401? 266 Calculate the remainder when 3986582 is divided by 3257. 14 What is the remainder when 2773375 is divided by 2773368? 7 What is the remainder when 18567215 is divided by 38362? 7 Calculate the remainder when 3688887 is divided by 22. 15 Calculate the remainder when 33004438 is divided by 30. 28 What is the remainder when 131349 is divided by 7243? 975 Calculate the remainder when 348943 is divided by 1586. 23 Calculate the remainder when 227031 is divided by 828. 159 What is the remainder when 10883073 is divided by 42? 33 Calculate the remainder when 15258 is divided by 19. 1 Calculate the remainder when 17556 is divided by 1756. 1752 What is the remainder when 126787325 is divided by 1939? 1932 What is the remainder when 165748 is divided by 80763? 4222 What is the remainder when 22215216 is divided by 62? 58 Calculate the remainder when 271345 is divided by 53967. 1510 What is the remainder when 541949 is divided by 180497? 458 What is the remainder when 68216 is divided by 3789? 14 What is the remainder when 254988 is divided by 87? 78 What is the remainder when 21784369 is divided by 742? 733 Calculate the remainder when 18907563 is divided by 3353. 3349 What is the remainder when 1074246097 is divided by 9494? 9491 What is the remainder when 81061018 is divided by 180? 178 What is the remainder when 916009 is divided by 134? 119 Calculate the remainder when 4234935 is divided by 4. 3 What is the remainder when 33194069 is divided by 4149256? 21 What is the remainder when 834968 is divided by 254? 70 Calculate the remainder when 60756764 is divided by 509. 488 What is the remainder when 120907 is divided by 4025? 157 What is the remainder when 184410 is divided by 1300? 1110 What is the remainder when 1975666 is divided by 57? 46 What is the remainder when 1433999 is divided by 478? 477 What is the remainder when 49416286 is divided by 13? 10 What is the remainder when 19214 is divided by 139? 32 Calculate the remainder when 8630053 is divided by 460. 453 What is the remainder when 264541 is divided by 283? 219 What is the remainder when 450413277 is divided by 8? 5 Calculate the remainder when 161490 is divided by 21. 0 Calculate the remainder when 122074 is divided by 30341. 710 What is the remainder when 648407 is divided by 20? 7 Calculate the remainder when 45769 is divided by 21803. 2163 What is the remainder when 99576399 is divided by 6710? 6709 What is the remainder when 22593 is divided by 454? 347 What is the remainder when 1991946 is divided by 578? 158 What is the remainder when 4855152 is divided by 2156? 1996 What is the remainder when 368696 is divided by 27? 11 Calculate the remainder when 501298157 is divided by 62. 9 What is the remainder when 48407054 is divided by 5? 4 Calculate the remainder when 39488 is divided by 12558. 1814 What is the remainder when 62756 is divided by 1834? 400 Calculate the remainder when 6354960 is divided by 63549. 60 What is the remainder when 175254 is divided by 7077? 5406 What is the remainder when 8908113 is divided by 253? 236 Calculate the remainder when 10536288 is divided by 52. 48 Calculate the remainder when 16106561 is divided by 2045. 141 Calculate the remainder when 4337863 is divided by 77461. 47 Calculate the remainder when 69122209 is divided by 1696. 33 Calculate the remainder when 781422 is divided by 100. 22 Calculate the remainder when 107951 is divided by 2411. 1867 Calculate the remainder when 12241 is divided by 7057. 5184 Calculate the remainder when 1519277 is divided by 2237. 354 Calculate the remainder when 29406454 is divided by 489. 439 What is the remainder when 8832178 is divided by 635? 598 Calculate the remainder when 120255 is divided by 7053. 354 Calculate the remainder when 494304 is divided by 411. 282 What is the remainder when 9453939 is divided by 403? 365 What is the remainder when 332882 is divided by 403? 4 What is the remainder when 135106 is divided by 547? 544 What is the remainder when 798889 is divided by 3? 1 What is the remainder when 612734 is divided by 1239? 668 Calculate the remainder when 6507504 is divided by 33. 3 What is the remainder when 285410 is divided by 93989? 3443 Calculate the remainder when 55834 is divided by 17731. 2641 What is the remainder when 156397 is divided by 56? 45 What is the remainder when 14858 is divided by 782? 0 Calculate the remainder when 3910512 is divided by 5854. 40 Calculate the remainder when 102332 is divided by 116. 20 What is the remainder when 83356 is divided by 20664? 700 What is the remainder when 381465 is divided by 2340? 45 What is the remainder when 191695677 is divided by 297? 294 What is the remainder when 132549121 is divided by 178? 175 Calculate the remainder when 274529 is divided by 730. 49 What is the remainder when 16908655 is divided by 61? 4 Calculate the remainder when 35025928 is divided by 6833. 6803 Calculate the remainder when 207453 is divided by 198. 147 What is the remainder when 1321865 is divided by 1630? 1565 What is the remainder when 1826283 is divided by 1635? 1623 What is the remainder when 3661789 is divided by 29? 17 Calculate the remainder when 1308283 is divided by 242. 31 Calculate the remainder when 392607 is divided by 661. 634 What is the remainder when 169204 is divided by 1849? 945 What is the remainder when 201778 is divided by 9965? 2478 What is the remainder when 7601135 is divided by 280? 255 What is the remainder when 21419662 is divided by 837? 832 Calculate the remainder when 9075 is divided by 1800. 75 Calculate the remainder when 60163166 is divided by 1338. 1334 What is the remainder when 23166 is divided by 1795? 1626 Calculate the remainder when 2175343 is divided by 362528. 175 Calculate the remainder when 125723 is divided by 3067. 3043 Calculate the remainder when 867686 is divided by 2695. 2591 Calculate the remainder when 562475 is divided by 225. 200 What is the remainder when 1100966 is divided by 549091? 2784 Calculate the remainder when 3919550 is divided by 1592. 46 Calculate the remainder when 3726750 is divided by 86. 26 What is the remainder when 270616 is divided by 134470? 1676 What is the remainder when 67362 is divided by 16743? 390 What is the remainder when 11656752 is divided by 907? 895 What is the remainder when 12454510 is divided by 29? 25 What is the remainder when 164300 is divided by 80584? 3132 Calculate the remainder when 44090 is divided by 3938. 772 Calculate the remainder when 51857506 is divided by 4714318. 8 What is the remainder when 3201392 is divided by 364? 12 Calculate the remainder when 597326 is divided by 19
{ "pile_set_name": "DM Mathematics" }
d 3*x**3 + 8*x**3 + 0*x**3 + (-3*x**2 + 3*x**2 + x**2)*(2*x - 3 + 3) + 2*x**3 - 5*x**3 + 2*x**3 + 0*x**3 - x**3 + 4*x**3. 15*x**3 Expand 74 - 21*g - 74 - 2*g**3 + (-g**3 + 3*g**3 - 4*g**3)*(-4 + 1 + 5) + 2*g**3 + 4 - 4. -4*g**3 - 21*g Expand (986*b - 986*b + 22*b**2)*(-2 - 5*b**3 + 4 - 3*b**3) + (4*b**3 - 2*b**3 - b**3)*(0 + 0 - 4*b)*(-11 + 11 - 4*b). -160*b**5 + 44*b**2 Expand (4*b**3 - 7*b**3 + 13*b**3)*(-2*b + 2*b + 2*b) + 70*b**3 - 70*b**3 - 50*b**4 + b. -30*b**4 + b Expand (3 - 1 - 5)*(3*j + 2*j - 7*j) - j + 0*j - j + (-1 + 3 + 0)*(1 - 1 - j) - j - j + 3*j + 35 + 5*j - 35. 8*j Expand -3*x**2 + 897 - 897 - 4*x**4 + (-8*x**2 + 8*x**2 - 6*x**3)*(-56 - 24*x + 56). 140*x**4 - 3*x**2 Expand (3 - 3 - w + (2 + 0 + 0)*(2*w - 7*w + 3*w))*(2 - 8 + 0)*(-1535 + 3224 - 561). 33840*w Expand -55*h**4 - 76*h**4 + 77*h**4 + (2*h**2 - h**4 - 2*h**2)*(2 - 9 + 3). -50*h**4 Expand (-1 + 1 + 2*v)*(-753*v**2 - 2062*v + 2062*v) + v**3 + v**3 + v**3. -1503*v**3 Expand (-509*i + 271*i + 285*i)*((3*i**3 + 3*i**3 - 7*i**3)*(i + 0*i + 0*i) - 453*i - 5*i**4 + 453*i). -282*i**5 Expand (-7*r + 8 - 8)*(-2 + 1 - 1) + (-1 + 4 - 1)*(-2*r - 3*r + 3*r) + 30*r + 23*r - 18*r. 45*r Expand (-6*c + 8*c + 0*c)*(-32*c - 16*c + 2*c)*(-2*c + 3*c - 3*c). 184*c**3 Expand (t + t - 4*t)*(86 - 131 + 66 + 0 + 3 + 1 + (-2 - 1 + 2)*(2 - 1 - 3))*(2*t**3 + 2*t**3 - 3*t**3). -54*t**4 Expand (-29*j**4 - 3*j**4 - 62*j**4)*(3*j + 3*j + 4*j)*(-1 + 0 + 2). -940*j**5 Expand (-2 + 2 - 6*x**3)*(-x + 3*x + x)*(26 - 25 + 19). -360*x**4 Expand (-8 + 8 + r)*(2 + 0 - 4) + (395 - 205 - 204)*(-4*r + 2*r + r + (-5*r + 6*r - 3*r)*(-3 + 6 - 2)). 40*r Expand (-791788 + 791758 - 77*z - 17*z)*(-4*z - 3*z + 5*z). 188*z**2 + 60*z Expand t + 2*t - 5*t + (2 - 1 - 2)*(0*t - t + 2*t) - 2 - 117*t + 173*t + 3. 53*t + 1 Expand (-10*g**2 - 8*g**2 + 7*g**2)*(-85*g**2 - 20*g**2 + 14*g**2) + 2*g**4 - 2*g**4 - g**4 + (-1 + 1 + 2*g**2)*(-4*g**2 + 2*g**2 + 4*g**2). 1004*g**4 Expand (8*v + 9 + 15 - 28)*(-2*v**3 + v**3 + 6*v**3)*((0 + 2*v + 0)*(4 - 4 - 1) - 27*v - 52*v - 44*v). -5000*v**5 + 2500*v**4 Expand (21 - 333 - 225)*(17 - 2 + 0 - 2*m**3). 1074*m**3 - 8055 Expand (-16*u**2 + 2028*u - 2028*u)*(9*u**3 + 2*u**3 + 3*u**3). -224*u**5 Expand 98*x**2 + 191*x**2 + 237*x**2 + 5*x**2 - 2*x**2 + 2*x**2 + 5*x**2 + 0*x**2 - 4*x**2 + 1 - 1 - x**2 + (0*x**2 - 3*x**2 + x**2)*(1 + 0 - 3). 535*x**2 Expand (5*a - 5*a + 4*a**2)*(-4*a + a + a + (-8 + 14 - 1)*(47*a - 894 + 894)). 932*a**3 Expand (-3*m**2 + 2*m**2 + 7*m**2)*(-32*m - 44*m - 231*m). -1842*m**3 Expand (-8251 + 8251 + 95*b**2)*(-40 - 80 + 76). -4180*b**2 Expand -73*s**3 + 3 + 51*s**3 + 18*s + 31*s**3 + (-3 + 3 - 1)*(-3*s + 3*s - 2*s**3). 11*s**3 + 18*s + 3 Expand (-3*j**3 + 2*j**3 + 3*j**3)*(0*j + j - 2*j) - 4*j**4 - j**4 + 3*j**4 + 12*j**4 + 14*j**4 - 3*j**4 + (-2*j - 2*j + 6*j)*(-32*j + 20*j**3 + 32*j). 59*j**4 Expand (-3 + 6 - 27)*(-110*i + 56*i + 19*i). 840*i Expand (0*p**2 + 0*p**2 + 2*p**3)*(3 + 0 - 6) + (0*p**2 + p**2 + 4*p**2)*(-551*p - 516*p + 1006*p). -311*p**3 Expand (8 - 11 - 3 - 2 - 1 + 4 + (-1 + 0 + 2)*(2 - 4 + 0) - 2 - 2 + 3 - 6 + 3 + 5 + (-4 + 2 + 3)*(4 - 3 - 2) + 14 - 7 + 7)*(-1 + x**3 + 1). 7*x**3 Expand (-4*b**3 - 5*b**3 - 17*b**3)*(15*b - 13*b - 11*b) - 3*b**4 - b**4 + 2*b**4. 232*b**4 Expand (-3*l + 2*l + 0*l)*(3*l**3 - 2*l**3 + 0*l**3) + (l**3 - 2*l**3 + 0*l**3)*(31*l + 21 - 21)*(-4 - 7 - 5). 495*l**4 Expand (362*x + 265*x - 248*x + 830*x)*(0 - 3 + 1). -2418*x Expand (-157 - 46*j + 157 + (2*j + 0*j + 0*j)*(3 - 5 + 3) + 0 - 3*j + 0 - 2*j - 19 + 19 + 1 - 1 - 5*j)*(-2 - 3*j + 2). 162*j**2 Expand (-w + 4*w + 0*w)*(3*w**2 - 4*w**2 + 3*w**2)*(-542534 + 542534 - 425*w). -2550*w**4 Expand (90*c**2 - 690*c**2 + 2174*c**2 + 2067*c**2)*(c + 0*c - 2*c) + 3*c**3 + c**3 - 5*c**3. -3642*c**3 Expand -s**5 + 6*s**5 + 0*s**5 + (2*s - 2*s + s**3)*(-21*s**2 - 67*s**2 + 20*s**2). -63*s**5 Expand (d**2 + 2*d**3 - d**2)*(-80 + 81 + 5 - 718*d). -1436*d**4 + 12*d**3 Expand (143 - 70 - 87 + 1 + 3 - 7 + 2 - 5 + 4 + (2 + 1 - 5)*(0 - 3 + 1) - 2 + 0 + 0)*(2*y - 3*y + 3*y + (-y + 2*y + y)*(0 + 0 + 1) + 2*y + 2*y - 2*y). -84*y Expand (0*x + x + x)*(4*x**2 + x**3 - 4*x**2) - 4*x**2 + 4*x**2 - x**4 + 166*x**4 - 9547*x + 9547*x + (2*x**3 + 0*x + 0*x)*(3*x - 10*x - 4*x). 145*x**4 Expand 10*f**4 + 7*f**4 + 0*f**4 - 21*f**3 - 52*f**2 + 2*f**4 + 22*f**3 + 57*f**2 + (f**3 - 2*f**3 - f**3)*(-f - 2*f + 2*f). 21*f**4 + f**3 + 5*f**2 Expand (-2*j**5 + 3*j**5 - 2*j**5)*(150 + 182 + 80)*(0 + 3 - 4). 412*j**5 Expand 3*k + 0*k - 2*k - 3*k**4 - 2*k**4 + 123 + 27*k - 37*k - 108 + (2 - 2 + 3*k**3)*(-3*k - 3*k + 5*k). -8*k**4 - 9*k + 15 Expand -42*h + 130*h - 55*h + (2*h + 2*h - 9*h)*(-9 + 8 + 4). 18*h Expand (-10*o**3 + 12*o**2 - 12*o**2)*(-30*o + 2 + 17*o + 15*o). -20*o**4 - 20*o**3 Expand (2*a + 1 - 1)*(288*a - 914*a + 475*a) + 19*a - 19*a - 17*a**2. -319*a**2 Expand -15*w - 53 + 42*w - 34*w + 2 + 2*w - 2 + (-6 + 3 + 2)*(0 + 0 + w). -6*w - 53 Expand -4*o**5 - 2*o**5 + 4*o**5 + (-14*o**4 - 4*o**4 - 4*o**4)*(-5*o + 0*o + 3*o). 42*o**5 Expand ((0 - 1 + 3)*(3 + 3 - 5) + 0 + 3 - 2 + 3 - 4 - 6)*(-6*z**2 + 4*z**2 + 6*z**2). -16*z**2 Expand (-12 + 5 + 43)*(259*w**3 - 94*w**3 + 210*w**3). 13500*w**3 Expand (-8 - 60 - 3 + (-2 - 3 + 7)*(25 + 3 + 3) - 5 + 1 + 2)*(0*l + 2*l + 2*l). -44*l Expand 91*l - 91*l + 3*l**4 + (-2*l + 3 - 3)*(65*l**3 - 42*l**3 + 78*l**3). -199*l**4 Expand (8*g - 5*g - 5*g + (2 + 0 + 0)*(-5*g + g + 3*g))*(0*g - 3*g + 0*g) + 9*g**2 + 8*g**2 - 5*g**2. 24*g**2 Expand (3*o**2 - 5*o**2 + 3*o**2)*(-5*o**2 + 3*o**2 + 4*o**2) + (2*o**3 - 2*o + 2*o)*(-52*o + 8 - 8). -102*o**4 Expand (113*y - 19*y + 58*y)*(2*y - 3*y - y)*(0 - 4*y + 3*y + 1) + 0*y**3 - 9*y**3 + 4*y**3. 299*y**3 - 304*y**2 Expand (0*a - 15*a + a)*(-3 + 2 - 1)*(24 + 61 - 7 + 194). 7616*a Expand (1 + 0 + 2)*(-r - r + 3*r)*(-294 + 86 - 288). -1488*r Expand (4*x - 17*x + 173 - 174)*(x**2 + 0*x**2 - 2*x**2)*(-23*x + 29*x + 87*x). 1209*x**4 + 93*x**3 Expand (0 - 1 + 0)*(-u**2 + 2*u**3 + u**2 + (-u + 1 - 1)*(u - u + 18*u**2)). 16*u**3 Expand (3 - 1 + 0)*(839 - 839 - 400*y + (2 - 3 + 2)*(-4*y + 4*y - 2*y)). -804*y Expand 0*r**3 + r**3 - 2*r**3 + (2*r + 3*r - 3*r)*(4*r**2 - 678 + 433 + 519). 7*r**3 + 548*r Expand (2*v + 3 - 3)*(0*v + 2*v + 0*v) - v**2 - 61*v**2 + 2*v**2 + (-3 - 7*v + 3)*(-2 + 2 - v). -49*v**2 Expand (9 + 20*r - 9)*(15*r - 12*r - 248*r - 32*r). -5540*r**2 Expand ((-3*i + 0*i + i)*(8*i + i + 0*i) + 42 + 97*i**2 - 42)*(0*i + 2*i + i). 237*i**3 Expand (-4*v + 2*v**4 + 4*v)*(-6071*v + 2278*v + 2674*v) + 2*v**5 + v**5 - 4*v**5. -2239*v**5 Expand -18*r - 2*r**2 + 18*r + (7*r - 7*r - 2*r**2)*(-9 + 0 + 0) + 9*r - 5*r**2 - 9*r. 11*r**2 Expand ((0 - 3 - 3)*(-6 + 4 - 7) - 2 + 1 + 4 + (1 + 3 - 6)*(5 - 2 - 2) - 2 - 1 + 5)*(-3*f + 0*f - 5*f). -456*f Expand -38*a**3 + 1150*a**2 - 1150*a**2 - a**2 + a**2 + 2*a**3 + (-3 + 1 + 1)*(-22*a**3 - 64 + 64). -14*a**3 Expand (2*h + 0*h - h)*((-70*h - 7*h - 52*h)*(1 + 1 - 3) + 2*h + h + 0*h). 132*h**2 Expand 164*q + 1209186 - 1209200 - 48*q + q - 3*q + 4*q + (2*q + 3*q - 6*q)*(-4 + 6 - 1). 117*q - 14 Expand (0 + 0 + f**2)*(6*f - 4*f - 44*f)*(-f - 113 + 113) + 2*f - 6*f**4 + 3*f**4 + 4*f**4. 43*f**4 + 2*f Expand (-2 + 2 + 2)*(2*w**3 - 4*w**3 - 4*w**3)*(124 + 53*w**2 - 124) - 5*w**5 + 3*w**5 + 7*w**5. -631*w**5 Expand -7*b + 2*b + 0*b - 4 - b + (-3*b - 2*b + 3*b)*(13 - 9 + 6). -26*b - 4 Expand (5 - 5 - 3*s + s**2)*(2 - 2 + 5*s)*(2*s - s + s)*((3*s - 3*s - 2*s)*(1 + 1 - 3) + 65*s - 195*s + 96*s + 2*s - 4*s - s). -350*s**5 + 1050*s**4 Expand (-111*j + 2 + 125*j + 137*j)*(3*j**2 + 3*j**2 - 7*j**2)*((-j + 5 - 5)*(2 - 2 + 3*j) - 1 - 6*j**2 + 1). 1359*j**5 + 18*j**4 Expand (-f**3 + 57*f**2 - 9070 + 9070)*(4*f + 3*f + 2*f) + 3*f**4 - 9*f**4 - 2*f**4. -17*f**4 + 513*f**3 Expand (2*s - 3*s + 3*s)*(2*s + s**2 - 2*s) - 34*s**3 - 13*s**3 - 414*s**2 + 403*s**2. -45*s**3 - 11*s**2 Expand (5 + 3 + 202*l - 204*l)*(21*l - 38 + 38). -42*l**2 + 168*l Expand (5*g**2 + 0*g**2 - 3*g**2)*(-3*g**3 + 3*g**3 - 3*g**3) + 292*g**5 - 250*g**4 + 248*g**4 - 21*g**5. 265*g**5 - 2*g**4 Expand (-r + 4 - 2 - 1)*(1 + 6 + 7 + (-3 + 3 - 3)*(16 + 5 - 1)). 46*r - 46 Expand (15 - 6*w**2 - 15)*(2 - 1 - 3)*(4 - 5 - 1)*(-339*w**3 + 8697*w**2 - 8697*w**2). 8136*w**5 Expand (-210 - 197 - 2 + 703)*((8*h**3 - 5*h**3 - 12*h**3)*(3 - 4 - 2) + 2 - 2*h**3 - 2). 7350*
{ "pile_set_name": "DM Mathematics" }
p. 3 Suppose 5*d = 15, -2*d = 3*l - 5*l + 2. Let x be ((-9)/(-6))/(2/l). Suppose -x*q + 7 = -17. Solve q*z - 3*z + 15 = -3*m, -2*z - 2*m - 6 = 0 for z. -3 Let r = -13 + 13. Suppose 6*l - 13*l + 14 = r. Solve 2*u + 10 = -2*i, -u - 25 = -l*i + 4*u for i. 0 Suppose 12 = -4*b, 4*b + 18 = 14*f - 11*f. Solve f*n + 2*o - 13 = -1, -5*n - o + 22 = 0 for n. 4 Let l(w) = -2 + w**2 + 2*w**2 + 3 + 0*w**2 + 2*w. Let s be l(-1). Solve -3*a + s*r - 9 = 0, -r = 2*a + 1 - 2 for a. -1 Let d = -164 + 171. Suppose z + 2*z - 2 = 5*n, 14 = 5*n + z. Solve -n*i - 9 = i + 5*h, -h = -2*i + d for i. 2 Let s(d) = -2*d**2 - 14*d + 6. Let q be s(-7). Let p(a) = a**2 - 4*a - 9. Let y be p(q). Solve 5*u - 5 = -0*u - 4*k, -34 = y*u - 5*k for u. -3 Let l = -3 + 4. Let o(m) = -m + 2. Let j be o(-2). Let i = -179 - -181. Solve -s - w = -i*s - l, 0 = 4*s + 3*w + j for s. -1 Let p(o) = 59*o**2 - 2*o - 5. Let d be p(-2). Suppose -48 + d = 11*w. Solve -s + 5*k = -w, -2 = -2*s + k - 4 for s. -3 Suppose -672*k + 669*k + 6 = 0. Solve 0 = -5*d + k*c + 7 - 30, -2*c = -8 for d. -3 Let g = 3 - 1. Suppose -7*q + 3*q + 22 = g*o, 55 = 5*o - q. Suppose b + 4*v = -13, 16 = b - v + 9. Solve 3*m = -2*p + o, 2*m + m - 6 = b*p for m. 3 Let z be 14/63 + 191/(-9). Let g = -17 - z. Suppose 3*j - 5 = 5*p, 5*p + 4*j = 26 + g. Solve 24 = -4*t - i, 0*t + p*i + 18 = -2*t for t. -5 Let r be 1*(3/(-1) - -2). Let a = r - -3. Let i(h) = 2*h**2 - h - 2. Let k be i(a). Solve k*g = -c + 6, -3*g + 5 = 2*c - 2 for g. 1 Let p = -44 + 48. Suppose p*r = -4*u, 0*r + r + 4 = u. Suppose -40 = -0*h - 4*h. Solve -5*l - 2*b = -0*b + 20, u*b = -h for l. -2 Let n = -6 - -8. Suppose -27 = -n*b + 3*h, 0 = -5*b - 3*h + 5*h + 40. Solve 3*s - 4*t = -14, b*t - 35 = -5*s + t for s. 2 Suppose 0 = -4*a + 4*d - 17 - 123, -4*d = 12. Let c be 2/(-4) + (-209)/a. Solve -4*u - 4 = -u + o, 3*u - 2 = c*o for u. -1 Let u be (144/(-180))/((-1)/15). Suppose -x + 2*g + 10 = 0, g = -4*x - 2*g + 40. Suppose -2*i + 30 = 22. Solve -6*q + x = -q, -4*j + i*q = -u for j. 5 Let c be 1/(3/(-9)) + 12. Suppose -8*d + 5*d = 3*g - c, g + 17 = 4*d. Suppose -24 = v - 4*v. Solve -4*a - u - d + v = 0, -5*a + u + 5 = 0 for a. 1 Let w(x) = x**3 - 7*x**2 + 2*x - 10. Let k be w(7). Suppose -k*c - 25 = c. Let u be 4/10 + (-13)/c. Solve b - 3*h - 6 = u*b, 4*b = 3*h - 12 for b. -3 Suppose -5*b + 16 = -4*b - 4*i, -2*i + 10 = -5*b. Let v be 18/27*6/b. Let w = 4 + v. Solve 0 = 3*d + 5*u + 4, -5*d - 3*u = -1 - w for d. 2 Let v = 657 + -657. Solve -2*i - 5*a - 23 = 0, 3*i + a - 1 + 16 = v for i. -4 Suppose 5*v - c - 21 = -1, -4*v + 45 = 5*c. Solve 5*p + 2*n = -5, p - 4*p - v*n = 3 for p. -1 Let t be (9 - 2) + 4 + -9. Solve 0 = -t*g - 3*a + 6*a, 3*a = 0 for g. 0 Let b(r) = r**2 - 31*r + 37. Let h be b(30). Let k be (-2 - -3)/(-1)*-3. Let n(p) = 14*p**2 - 1. Let l be n(1). Solve 3*w = m - h, -w = -k*m + 4*w + l for m. 1 Let k = -13 - -26. Suppose 3*n = k + 2. Suppose 0 = -v, n*v - 12 = -4*o - 0*v. Solve -o*q = 15, 2*h + 0*q - 4*q - 18 = 0 for h. -1 Let f be 1*4/(-10)*-5 - 1. Let c be (-30)/(-12)*(f/5 + 1). Solve -5*l + 23 - 4 = -2*h, 3*h - 3 = -c*l for h. -2 Let j(u) be the second derivative of u**4/3 - 7*u**3/6 - 3*u**2 + 21*u. Let m be j(-1). Solve 2*a = 5*d - 4, -a = -m*a + d + 10 for a. 3 Let g be (14/35)/((-1)/(-50)). Suppose 4*o = g - 4. Suppose -3*y + o*y = 3. Solve y*t + 5*q - 10 = 0, -2*t = -4*t - 5*q + 10 for t. 0 Let c be 18/4 + -5 - (-50)/4. Let h be (-3)/((-3)/(-4)*c/(-87)). Solve 2*v = -2*v - 5*n + h, 5*n = -3*v + 28 for v. 1 Suppose 4*h + 2*o - 20 = 0, 8*o - 3*o - 2 = 2*h. Suppose 5*c - 21 - h = 0. Let n be c/(-3*(-20)/24). Solve n*s + 13 = -3*t, 0 = -3*s + s - 4 for t. -3 Suppose 4*f + 15 = f. Let q be (-1 - 2)*(f + -3 + 7). Solve -10 = -5*v + 3*h, q*v - h - 5 = 1 for v. 2 Let v(x) = -x**3 + 3*x**2 + 5*x - 1. Let i be v(4). Suppose -2*h + 14 = i*s - 22, 2*s + 16 = 2*h. Solve 5*p = -4*g - h, 3*p + 14 = 2*p + 5*g for p. -4 Suppose -5*v = -5*r - 15, -5*v - 4*r - 10 = 2. Let o = -6 - -7. Let b(j) = j + 1. Let w be b(o). Solve 4*t = 2*q + 10, v = -w*t + t + 3*q - 5 for t. 4 Suppose 22 = -8*y + 62. Solve 5*v + 20 = m, 4*v + 17 - 1 = -y*m for v. -4 Let n be (70/(-30))/((-2)/6). Solve -4*k - 2*a + 30 = -n*a, k - a = 7 for k. 5 Suppose 24 - 14 = 2*g. Suppose 0 = -2*p + g + 5. Solve -5 = 4*c - 5*r - 2, 5 = -p*c + 5*r for c. -2 Let w(l) = -l**2 + 4*l + 16. Let y be w(6). Suppose -y*t - 6 + 14 = 0. Solve -3*d - 4*r - 1 = 0, d + t*r = 3 - 6 for d. 5 Suppose -f - 39 = -4*y, 4*f - 23 = -2*y + f. Solve 0*x - 3*u - 29 = 5*x, -4*x + 2*u = y for x. -4 Let w(x) = x + 7. Let v be w(-6). Let y = -3450 - -3455. Solve -4*d = -3*r + v, -2*r = 3*d - y*d for r. -1 Suppose 0*r + 3*r - 12 = 0. Suppose -3*d + 35 = 4*d. Let q = r + d. Solve -2*m + 12 = -4*a, -5*a = -2*a - 4*m + q for a. -3 Let l = -27 + 30. Solve -v + 2*n = 4, -l*n + 38 = 5*v + 6 for v. 4 Let x(a) = 20*a**2 - a + 1. Let s be x(1). Suppose 0 = -5*b + 4*f - 20, -3*b + 10*f + 15 = 13*f. Solve 3*l = 12, b*l + 2*l = 3*o + s for o. -4 Let d(o) = -o**2 + 9*o - 2. Let k be d(9). Let j be (-32)/(-4) + k + 0. Suppose j*p - 7*p = -14. Solve -5*v + 12 = 6*a - 2*a, 5*v - p = -3*a for a. -2 Let o = -70 + 73. Suppose t + 3*v - 4 - 9 = 0, t = o*v - 11. Solve y + t = f, -y - 2*y + 4*f = 0 for y. -4 Let w = -72 + 84. Suppose r = -w*r. Solve -2*y - 5*k + 8 + 23 = r, 3*y + 3*k = 24 for y. 3 Let c(n) = n**2 + 5*n - 4. Let u be c(-6). Let i(t) = 8*t**3 - 3*t + 2. Let o be i(1). Solve -u*y + g = -g + 6, y - 5*g + o = 0 for y. -2 Let r be -2 + 2 - 2 - -1. Let j be 11 - r - 1*-1. Suppose 5*g = 3*f - 8 + 6, -2*f - 4*g + 16 = 0. Solve -f*n + 5*z - z = -4, -3*n = z + j for n. -3 Let v(s) = -s**3 - 10*s**2 + 2*s + 29. Let k be v(-10). Suppose 8*c = k*c - 4. Solve -l = -b + 7, -4*b - c*l - 18 = -6*b for b. 5 Let j = -12 + 16. Suppose -j*f = -f - 12. Let m be (-2)/f*(-10 + 2). Solve -5*y + h - 10 = 6*h, m*y + 2 = -h for y. 0 Suppose 0 = 5*t + 37 + 8. Let m = 11 + t. Suppose 0 = 4*y + 4, 2*i + 3*y - m*y = 5. Solve 15 = 5*k, 5*k = i*h + 5 + 13 for h. -1 Let d be 11 + ((-175)/(-5))/(-5). Solve a = -d*p - p - 8, -a + 12 = -5*p for p. -2 Suppose -147*h = -136*h. Solve h*l + l + u = 7, -5*l + 32 = 4*u for l. 4 Let r be ((-14)/14)/((-2)/8). Let o(d) = d**3 - 3*d**2 - 3*d + 5. Let j be o(r). Solve 7 = -v + 2*x, 4*v - 3*x + j = v for v. 1 Suppose l - 2*z - 3 = 0, z = 5*l - 2*z - 15. Suppose -4*r + 7*r = 12. Suppose 0 = -7*v + r*v + 6. Solve -l*c - 4 = -4*h + 19, -h = v*c - 3 for h. 5 Let a = -3 - -8. Suppose i - 5*u - 13 = -3*u, 4*u = a*i - 47. Let g = 11 - i. Solve 2*h + 6 = 2*s - 4*s, g = -2*s for h. -1 Suppose -528 = 2*o - 5*o. Suppose 5*v + 1 - o = 0. Suppose s + 2*y = -y - 1, 0 = 3*y + 6. Solve 0 = -5*r + s*f - v, 4*r + f = -0*f - 8 for r. -3 Suppose 46*n - 6 = 43*n. Solve 0 = i + 2*j - 9, -n*i - 11*j + 12*j = 7 for i. -1 Let b = -61 + 63. Suppose 2*u + 2 = b*f, 3*f - 11 = -u + f. Let x be 2/(-4) + (-18)/(-4). Solve -3*v - 12 = 5*t - 7*v, 4*v - x = u*t for t. -4 Let w be (-5 - -2)*(-22 - -21). Solve 2*x - w*h = -2 - 15, -2*x - 2*h = 2 for x. -4 Let w = 145 - -132. Let f = 281 - w. Suppose 0 = -y - d - 0*d, -3*d - 10 = -2*y. Solve -a + s = -2, y*a - s - 4 = f*s for a. 2 Let l = 616 + -612. Solve 4*h = -l*x + 3 - 7, 0 = h - 4*x + 16 for h. -4 Let z be (-32)/(-48)*(-57)/(-2). Let l = -10 + z. Solve 2*q = -3*t - 0*t - l, q - 4*t = 23 for q. 3 Suppose 5*t = 3*q + 13, 0 = 2*t - 0*q - q - 6. Suppose -p + t = -1. Suppose -a = a - p. Solve 4*g - 7 = 2*g - a*x, 3*x = -5*g + 13 for g. 2 Suppose 15*o - 44 - 16 = 0. Let b(v) = v**2 - v - 12. Let d be b(o). Solve 5*t + d*r - r - 25 = 0, 2*r = -t + 5 for t. 5 Let g = -223 - -238. Solve 3*c = -3*s - 2*s + g, s - 3 = 4*c for s. 3 Let w be (3 - 7) + 3 + -3. Let r = 9 - w. Solve 3*o = 2*l + r, 2*o = 7*o - 4*l - 25 for o. 1 Suppose 4*p + 12 = 0, 5*n + 0*p - 30 = -5*p. Suppose -13*i + 10*i = n. Let k be (-2)/(i - (-52)/20). Solve k*r + 2 = 4*v - 15, 2*r + 14 = -2*v for v. -2 Suppose 21*n = 17*n + 84. Let s be (-4)/3 - (2 + (-154)/n). Solve 5*j + 24 = -2*g, 12 = -3*g + 5*g - s*j for g. -2 Suppose 53 = 5*z + 3*q, -5*z = -q - 18 - 51. Solve 4*i = -3*y + 1, -15*y + z*y = i - 4 for y. 3 Let s = 282 + -265. Solve 0 = -w + c + 4, 2*w + 5*c + s = 2*c for w. -1 Suppose 0 = 5*r + c, r + 4*c - 3*c = 0. Suppose r = -3*n + 4*n + 2*o + 8,
{ "pile_set_name": "DM Mathematics" }
0*y**2 + 44941*y + 8 wrt y? 53260*y**3 - 24*y**2 + 40 What is the third derivative of 57981*w**3 + 113*w**2 + 6 wrt w? 347886 What is the first derivative of -2*h*q + 27044*h - 4091*q wrt q? -2*h - 4091 Find the third derivative of 11*i*l**3 - 2*i*l**2 + 16*i + 879*l**3 + 299*l wrt l. 66*i + 5274 What is the second derivative of -237133*b**2 + 133493*b wrt b? -474266 Find the third derivative of 853*c**2*g*n**3 - 3*c**2*h*n**2 + 22*c*g*h*n**3 + 2*c*h*n**2 + 25*g*h*n**2 - g*h*n - 32*g*n - h wrt n. 5118*c**2*g + 132*c*g*h Find the third derivative of -12180*j**5 + 2*j**4 - 6*j**3 + 548713*j**2. -730800*j**2 + 48*j - 36 Differentiate -11*g*m*y**3 + 48385*g*y**3 - 12*m*y**3 + 3*m*y - 1764*m + 2*y**3 + 3*y wrt g. -11*m*y**3 + 48385*y**3 Find the second derivative of -23*b**2*g*i**3 + 894*b**2*i**2 - b*g*i**3 - 27*b*g*i**2 - 77*b*i wrt b. -46*g*i**3 + 1788*i**2 What is the second derivative of -2*q**3 + 21849*q**2 - 29310*q? -12*q + 43698 Find the second derivative of 10*t**2*y**2 + 1906*t**2 - 102*t*y**2 + 2*y**2 + 3 wrt t. 20*y**2 + 3812 What is the first derivative of -29844*w**3 - 59689? -89532*w**2 Find the second derivative of -12*q**3 - 74*q**2 - 44298*q. -72*q - 148 Find the second derivative of -69*n**5 + 20*n**4 - 7*n + 7579. -1380*n**3 + 240*n**2 What is the third derivative of 86*u**6 - 67*u**4 - 35074*u**2 - 12*u wrt u? 10320*u**3 - 1608*u Find the third derivative of k**5 - 145468*k**3 + 23*k**2 + 21123*k wrt k. 60*k**2 - 872808 What is the first derivative of -3*f**2*n**3 - 77145*f**2*n**2 + 56*n**3 - 27096 wrt f? -6*f*n**3 - 154290*f*n**2 What is the third derivative of 43*i**4 - 4318*i**3 + 19621*i**2 - 10*i wrt i? 1032*i - 25908 Find the second derivative of -2855929*u**3 - 3483035*u. -17135574*u What is the first derivative of -614290*x**3 - 115207 wrt x? -1842870*x**2 What is the second derivative of 9534*v**4 - 14*v**2 - 2*v + 475925 wrt v? 114408*v**2 - 28 Differentiate -356*f**3*l**2 + 29*f*l**2 - 37337*l**2 - 10*l wrt f. -1068*f**2*l**2 + 29*l**2 Find the first derivative of -70*a*f**3 + 308401*a - 2*f**3 + 51*f wrt f. -210*a*f**2 - 6*f**2 + 51 Find the third derivative of -30685*j**4 + 22171*j**2. -736440*j What is the first derivative of -2*m*v**2 + 16*m*v + 2950*m + 336*v**2 - 963*v wrt m? -2*v**2 + 16*v + 2950 Differentiate 68*r**2*x**2 + r**2*x - 2*r**2 + 5*r*x + 22*r + 21*x**2 - 1404 wrt x. 136*r**2*x + r**2 + 5*r + 42*x Find the third derivative of -569*b*o**3*r - b*o**2*r**2 + 40*b*o**2*r - 2*o**4*r - 112*o**3*r**2 + o**2*r + 2*o**2 + 19 wrt o. -3414*b*r - 48*o*r - 672*r**2 What is the second derivative of -5*c*d**3*y - 2*c*d**2*y - 106843*c*d**2 - 9*c*d*y + 530*c*y - c - 4*d*y - 2 wrt d? -30*c*d*y - 4*c*y - 213686*c Find the first derivative of -6714*x**3 - 22*x - 184708 wrt x. -20142*x**2 - 22 Find the second derivative of 6*r**2*y**4 - 15*r**2*y + 2271*r**2 + 2*r*y**3 + 2*r*y - 2*r + 7880*y**2 + 1 wrt y. 72*r**2*y**2 + 12*r*y + 15760 What is the second derivative of 480978*p**2 - 1061772*p? 961956 Find the second derivative of o**5 - 4213*o**3*u + 3*o**2*u**2 - 2*o*u**2 + o*u + 3*u**2 + 2544 wrt o. 20*o**3 - 25278*o*u + 6*u**2 Find the third derivative of 27268*h**5 + 69815*h**2 wrt h. 1636080*h**2 What is the third derivative of -2*z**5 - 17955*z**3 + 26*z**2 - 759*z? -120*z**2 - 107730 What is the second derivative of -24717*j**4 + 2*j**3 + 45979*j + 9 wrt j? -296604*j**2 + 12*j What is the second derivative of -88855*y**5 + y**4 - 2*y**3 - 411417*y? -1777100*y**3 + 12*y**2 - 12*y What is the first derivative of -5*i**3*y - 799*i**3 - 206*i**2*y - i**2 - 3*i*y - 6*i - 24*y - 8 wrt y? -5*i**3 - 206*i**2 - 3*i - 24 Find the first derivative of 2*a**2*w - a**2 - 1906*a*w**3 - 5*a - 33*w**3 + 490*w wrt a. 4*a*w - 2*a - 1906*w**3 - 5 Differentiate -1003*l**2*u + 43*l**2 + 77*l*u**3 + 772*l - 2 wrt u. -1003*l**2 + 231*l*u**2 What is the first derivative of 19376*i**4 + 34750 wrt i? 77504*i**3 Find the third derivative of 347687*q**6 - q**2 + 7867*q. 41722440*q**3 What is the derivative of -427067*v**4 + 343554 wrt v? -1708268*v**3 Differentiate 970*n**3 + 51*n**2 - 2*n - 191112 wrt n. 2910*n**2 + 102*n - 2 Find the second derivative of -405160*j**2 + 738137*j wrt j. -810320 Find the first derivative of 59726*m**3 - 65340 wrt m. 179178*m**2 Find the third derivative of -2*f**5 - 156*f**4 - 53*f**3 + 8207*f**2 + f + 1. -120*f**2 - 3744*f - 318 Differentiate 54*p**2*r**2 + 22*p*r**2 + 6*p*r + 1320167*r**2 with respect to p. 108*p*r**2 + 22*r**2 + 6*r Find the third derivative of 933557*y**5 + 48*y**2 + 209*y - 4 wrt y. 56013420*y**2 What is the second derivative of u**2*z**3 - 18*u**2*z**2 - 52*u**2*z - u*z**3 - 4*u + 1843*z**2 wrt u? 2*z**3 - 36*z**2 - 104*z What is the derivative of -23237*u**4 - 11*u**3 - 2320334? -92948*u**3 - 33*u**2 Differentiate 385122*g**2 + 305556. 770244*g Find the second derivative of -28968*n**2 - 53251*n wrt n. -57936 What is the derivative of 56*n**3*q + 4*n**3 - 12528*n**2*q - 27162 wrt q? 56*n**3 - 12528*n**2 What is the third derivative of 84*f**4 - 618*f**3 + 78774*f**2? 2016*f - 3708 What is the second derivative of -5*k**2*t**3 - 149088*k**2*t - k**2 - 646241*t**5 + 1 wrt t? -30*k**2*t - 12924820*t**3 What is the derivative of 13633*x**4 - 2*x**3 - 115938? 54532*x**3 - 6*x**2 What is the derivative of -8*d**3 + d**2 + 46263*d + 2810633 wrt d? -24*d**2 + 2*d + 46263 Find the second derivative of b*v**2*w**2 - 8757*b*v**2*w + 2*b*v*w**2 + b*v*w + 59*b*w + 186*w**2 wrt v. 2*b*w**2 - 17514*b*w What is the second derivative of 1010898*t**2 + 651982*t wrt t? 2021796 What is the second derivative of -13343*l**4 - 3*l**2 - 638*l - 5 wrt l? -160116*l**2 - 6 What is the second derivative of 3*a**2*p*r**2 + 554*a**2*r - 29687*a*p*r**2 - 69*p*r wrt r? 6*a**2*p - 59374*a*p Find the second derivative of 17563*i**4 + i**2 - 189127*i. 210756*i**2 + 2 What is the third derivative of -54291*u**4 + 6*u**3 - 4221303*u**2 wrt u? -1302984*u + 36 What is the third derivative of -3*a*k**3*z + 6*a*k**3 + 2*a*k**2*z + 4*a*k**2 + 7*k**3*z - 115*k**3 - 9500*z wrt k? -18*a*z + 36*a + 42*z - 690 What is the derivative of 861*r**4 - 8*r**3 - 13603 wrt r? 3444*r**3 - 24*r**2 What is the second derivative of -2*h**2*p**3 - 2*h**2 - 56*h + 31353*p**3 + 3*p + 1 wrt p? -12*h**2*p + 188118*p What is the second derivative of -8753*d*u**2 - 13118*d*u wrt u? -17506*d Find the second derivative of 15*l*r**3 - 14651*l*r + 1941*r**5 + r - 7 wrt r. 90*l*r + 38820*r**3 What is the third derivative of 573*o**2*p**3 + 33045*o**2*p**2 - o*p**4 - 2*p**3 - 1 wrt p? 3438*o**2 - 24*o*p - 12 Differentiate 28*o**2*x + 48232*o**2 + 15*o*x + 7*x with respect to x. 28*o**2 + 15*o + 7 What is the third derivative of 242429*u**4 - 2*u**2 + 159*u - 55? 5818296*u Find the third derivative of -226438*l**3*t**2 + l**3 - 4*l**2*t**2 + 2*l*t**2 - 183*l*t + 25*l wrt l. -1358628*t**2 + 6 Find the second derivative of -1733*q**2*s + 18*q**2 - 1569*q*s - 5*q - 1 wrt q. -3466*s + 36 Find the third derivative of -3*n**2*t**3 - n**2 - 83*n*t**5 - 315*t**2 wrt t. -18*n**2 - 4980*n*t**2 Find the second derivative of -3*n**4*x - n**4 + 19543*n**2*x - 8*n*x - 46767*n - 1 wrt n. -36*n**2*x - 12*n**2 + 39086*x Find the third derivative of 2*h**3*z**2 - 5579*h**3*z - 16*h**3 - 2*h**2*z - 2*h**2 - 469*h*z**2 + 2*h*z + 3*z**2 wrt h. 12*z**2 - 33474*z - 96 Find the first derivative of m**4 - m**3 - 2277*m*n + 35177*n wrt m. 4*m**3 - 3*m**2 - 2277*n Find the third derivative of -46487*t**5 + 267*t**2 + 7*t wrt t. -2789220*t**2 Find the second derivative of 74852*a*q**2 + 1050871*a*q - 2*q**2 wrt q. 149704*a - 4 What is the third derivative of -m**4 + m**3*r**2 - 4175*m**3*r + 111*m**2*r**2 + 10*m*r**2 wrt m? -24*m + 6*r**2 - 25050*r Find the third derivative of -996077*j**4*s**3 - 3*j**2*s**3 - j*s**3 + 33*j*s + j - 21*s**2 wrt j. -23905848*j*s**3 What is the second derivative of -435383*h**2 - 579585*h? -870766 Differentiate -17439*i**2 + 4*i + 743102. -34878*i + 4 What is the second derivative of 6*c*y**2*z - c*y**2 - 2*c*y*z**2 - 29*c*y - 4557*y**2*z**2 - y**2 + 4*z wrt z? -4*c*y - 9114*y**2 Find the first derivative of -3*p**2*w*y - 33*p**2*y - 3280*p**2 - 106514*p*w*y wrt w. -3*p**2*y - 106514*p*y What is the first derivative of -3451338*z + 1311941? -34513
{ "pile_set_name": "DM Mathematics" }
k*k/(k/k**(-2/5))*k)**(-9/7) assuming k is positive. k**(2647/30) Simplify (((m**(-11)/(m/(m/(m/((m*m**(-1/7))/m)))))**(9/4))**(1/62))**(-43) assuming m is positive. m**(32895/1736) Simplify (((a/(a**(-7/5)/a))/a)**(-3/4)/(a**(-12))**(3/7))**(3/17) assuming a is positive. a**(351/595) Simplify (c*c*c**(15/2)/c*c*c*(c*c**(-1/12))/c*(c*(c**(1/2)*c)/c)**(-1/26))**(-34) assuming c is positive. c**(-13736/39) Simplify ((z**(-2/7))**16)**12/((z*z/(z/z**(-4/5)*z)*z**(1/6)*z)/((z**(-2/3)*z)/z**(-2))) assuming z is positive. z**(-11107/210) Simplify ((u**(-8)*u/(u/(u**(3/7)*u)))/(u/(u*u/((u**(-1/6)/u)/u))*u**(-3/8)*u))/((u/u**(2/11))**(-33))**(-1/7) assuming u is positive. u**(-1325/168) Simplify (((r**(-2)/r)**(14/3)*(((r*r*((r/(r/r**(-9))*r)/r)/r)/r)/r*r)/((r/r**(-6/7))/r*r))**(-35))**(-3/23) assuming r is positive. r**(-2610/23) Simplify ((v**(-3/8)/v*(v/(((v*v/(v/(v*v*v**2*v*v)))/v)/v))/v*v*v**7*v*v*v*v**(7/2))**(-12))**(-1/7) assuming v is positive. v**(195/14) Simplify ((k**3/k)/((k*k**(-1))/k))**(-13/3)/((k/(k*k**(-1/2)))**(-8)/(((k*k/(k*k*k**1)*k*k)/k)/(k*k**7))) assuming k is positive. k**(-17) Simplify ((g**(-2)*g/(g*g*((g/((g/(g/g**3)*g)/g*g))/g)/g*g*g)*g)/(g**0*g)**(1/4))/((g**0)**(1/11)/((g*g**(2/7))/g**0)) assuming g is positive. g**(57/28) Simplify ((n*n*n**(-9))/(n/(n/(n/(n/((n/(n*n**(-16)))/n))))))**(-29)*(n*n**(-1))**(-32)*n**(-7)/(n**(-1/2)/n) assuming n is positive. n**(1265/2) Simplify ((g/g**(-1/2))**(26/7))**(-19/4)/(g/((g**(-1/6)*g*g)/g)*g**1)**(1/4) assuming g is positive. g**(-4495/168) Simplify ((m/(m**(-4)/m))**37)**38*((m*m/(m**(-6)*m))/m**(-9/4))**(-28) assuming m is positive. m**8177 Simplify ((o*o**(-4))/o**(2/9)*o**(-1/3)/o**4)/((o**(-5/2)/o**(-2))/(o**0)**(1/22)) assuming o is positive. o**(-127/18) Simplify (((g**(-2/5)/g**(-2))**(-2/51))**(-23/2))**(-14) assuming g is positive. g**(-2576/255) Simplify (h**(3/7)/(h*h/((h*h**0)/h)))**(-10)/((((((h**(-2/7)*h)/h)/h)/h*h*h)/h)**(-24)/((((h**3/h)/h)/h)/(h*h**(-1)))) assuming h is positive. h**(-106/7) Simplify (((q*q/q**(2/13))/q)/((q/(q**(-2)*q*q)*q)/q))/((q/q**(-1/6))/(q*q*q**(-8)))*(q**0/(q*q/q**7*q))**(2/23) assuming q is positive. q**(-12509/1794) Simplify ((s**0)**(7/11)*s**(2/9)*s*s/(s*s**(2/5)))/((s/((s*(s**(2/19)/s)/s)/s))/s**4*(s**0)**(33/2)) assuming s is positive. s**(1648/855) Simplify (c/((c/(c**43/c))/c*c*c)*c/(c/(c**(-34)*c)))/(c*(c/(c*c**(3/4)*c)*c)/c*c**(2/17)) assuming c is positive. c**(587/68) Simplify (((v*v**(-2/13))**(2/31)*(v/v**(2/9)*v)**7)**(-14/3))**(-24) assuming v is positive. v**(5077408/3627) Simplify (r*r*r*r*r**1)**(-1/6)*(r/r**1)**(-32)*(r*r**(-6)*r*r/r**(-4))/(r**(-2/7)/(r**(-4)*r)) assuming r is positive. r**(-107/42) Simplify (((c*c**27)/(c/(c**(-40)/c)))**(3/7))**(1/53) assuming c is positive. c**(-6/53) Simplify (a*a**(5/8))/a**(10/7)*(a*a/(a*a**(-1/30)*a))**(1/9) assuming a is positive. a**(1513/7560) Simplify (p**0*p**(-9))/(p**(2/7)*p)**10*(((p*p**(1/5))/p)/(p**5/p))/((p/(p/p**(1/4))*p*p)/p)**(-44) assuming p is positive. p**(1027/35) Simplify (g*g/(g**(4/7)*g)*g*g/(g/g**(-7)*g))**3*(((g/g**(-5))/g)/(g**(-5/4)*g*g))/(g**(-2/21)*g**(1/2)) assuming g is positive. g**(-1333/84) Simplify (s**(1/9)*s**(-2/3))/(s**(-5)/s*s**(2/11))*(s**(-2)*s/s**(-3/8))/(s**0)**14 assuming s is positive. s**(3673/792) Simplify ((n**(2/5)*n)**(-20)*((n**(-4/5)/n)/n)**(-4/15))**(-46) assuming n is positive. n**(94024/75) Simplify ((c*c**(-5/4))/c*c**(1/7))/(c**6*c*c*c**(2/11))*((c**(-2)/c)/(c*c**(-3/4)))**0 assuming c is positive. c**(-2861/308) Simplify ((c**(-3/28)/(c*c**(1/9)))**(-1/3))**(-13) assuming c is positive. c**(-3991/756) Simplify ((x**(-1/5)*x*x*x*x**(-2/5))/(x**(-1/3)/(x/(x/(x/x**(2/3)))*x)))/(x**(-3)*x**6)**(-3/5) assuming x is positive. x**(88/15) Simplify (z**0*z**(-8)*z*z)**(-15)*(z**(-1/2))**(3/49)/(((z*z*z**7*z)/z)/((z**(2/5)/z*z)/z)) assuming z is positive. z**(39381/490) Simplify ((x*x*x**1)**8/(x*x**(3/2)/x*x**(-25)))**(-10) assuming x is positive. x**(-475) Simplify ((s**(3/8)*s**(-4))/(s**(3/4)/(s**(1/6)/s)))/(((s/s**(-2/7))/s**(-1/2))/(s**(-5)*s*s**(2/11))) assuming s is positive. s**(-19981/1848) Simplify (j/(j/j**6)*j**(-6/11))/(j**(-2/15)/j**(-3))*j**(-4)*j**(3/7)*j**(1/7)*(j**(-4/7)*j)/j assuming j is positive. j**(-233/165) Simplify ((n/((n**20*n)/n))**(-1/78)/(n*n/(n/(n*n/n**(-23))*n*n)*n*n/n**(-2/31)))**(-2/9) assuming n is positive. n**(62435/10881) Simplify f*f**5*f**41*f*(f/f**(-4)*f)**(3/16) assuming f is positive. f**(393/8) Simplify a/(a/(a*a/(a**1/a)*a*a))*a**1*(a**1)**(5/16)*((a**(-2/3))**49)**(-1/8) assuming a is positive. a**(451/48) Simplify ((l/(l*l**6)*l)/l**(-4))**(-19/5)*((l**(2/7)*l)**20)**(-35) assuming l is positive. l**(-4481/5) Simplify ((d*d**(-16))**11/(((d*d**(-1/24)/d)/d*d)/d**(-23)))**(2/73) assuming d is positive. d**(-4511/876) Simplify (s/(s**(4/9)/s))**8*s/s**(-47)*s/s**(3/23) assuming s is positive. s**(12692/207) Simplify ((((l**(-2/3)*l)/l)**(5/8)/(l**(-8)/l**(-3/7)))**(-2/37))**45 assuming l is positive. l**(-9015/518) Simplify (s**(1/4)*s**3*s*(s/(s*s*s/(s/s**(-2/5))))/s*s*s/(s/(s/(s**(-3/7)*s))))/((s*s*s**2/s)**(-30))**(8/3) assuming s is positive. s**(34171/140) Simplify (((f**5/f)/f)/f**0*f/(f/(f*f**(1/5)))*f**(1/4))/(f/f**(-4)*f**(-7))**(-49) assuming f is positive. f**(-1871/20) Simplify ((o**5/o**0)/(o**(-1/6)*o*o*o*o*o**(-2)))/((o**(-5/2)*o)/((o*(o/o**(-6))/o)/o)*o**(-1/2)*o*o/o**3) assuming o is positive. o**(73/6) Simplify ((q**(-3)*q*q)**(2/15))**26/((q/q**(-12))/q**2)**(-7/11) assuming q is positive. q**(53/15) Simplify ((i/(i/(i/(i**(-5)*i*i))*i))/(((i*(i*i**(1/2))/i)/i*i)/i))/(i/(i/(i*i**3)*i)*i**(-3/5))*(i*i**(-4)*i**(3/4))**37 assuming i is positive. i**(-1663/20) Simplify ((((g/(g**(-3/10)/g))/g**(-9))/(g*g**0*g*g**(-7/4)))**22)**13 assuming g is positive. g**(31603/10) Simplify ((j*j**(-22)*j*j**(-2/7)*j)/(j**(-8))**(2/129))**(-29) assuming j is positive. j**(501787/903) Simplify ((v/(v*v**(-1)))**(-4/23)*(v*v*v/(v**(-2)/v))/v*v**(-2/17)/v)/((v*v*((v/v**1)/v)/v)**(-41))**(-9/7) assuming v is positive. v**(1450/391) Simplify (v**(2/7))**(-25)/((v**(-3)*v)/v*v**(1/2))*((v**(-8)/v)/(v*v*(v/(v*v/(v/v**(1/12))))/v*v))**(-47) assuming v is positive. v**(42709/84) Simplify (f**1)**(2/93)*(f/f**(-4/7))/(f/(f*f**(2/11)))*((f/(f/(f*f/(f*f/f**(-3/7)))))/f**(-2/5))**5 assuming f is positive. f**(11686/7161) Simplify ((b*b*(b/b**1)/b)**(10/7))**33/((b**(-1)*b*b)**(3/13))**(-39) assuming b is positive. b**(393/7) Simplify ((y**(-9)/(y*y*y**1*y*y))/(y**1)**(-6))/((y*y*y*y**(-3/10))/y**(-6/13))**(-10/19) assuming y is positive. y**(-1565/247) Simplify (((((r*r*r*r**(-2)*r)/r)/r)**(-1/13)/(r**(-1)/((r/(r**(-4)/r))/r)))**42)**(1/5) assuming r is positive. r**(252/5) Simplify (((v**(1/6)/(v/(v*v/((v/(v*v/(v/v**(-3/5))*v))/v)*v)))**(1/3))**(-12/19))**(2/47) assuming v is positive. v**(-428/13395) Simplify (((y/(y/y**(-1/8))*y)/y*y*y*y**(-4)*y)/(y*y/y**(-1/2)*y)**24)/(((y*(y*y**(-3))/y)/y**(-3/5))/(y*y*y/(y**0/y))**27) assuming y is positive. y**(971/40) Simplify (n**(-7)*(n/(n*n**3)*n*n)/n*n**2/(n/n**(-1/21)))**(-1/46) assuming n is positive. n**(169/966) Simplify (((x**(-7)/x*x*x**(-7))/(x*x/(x/(x*x**4/x))*x**(2/13)))**(-18))**49 assuming x is positive. x**(219618/13) Simplify (f**(-5)*(f*(f*f*f*f/(f*f/f**(1/3)*f)*f*f)/f)/f*(f*f**(-1/3)*f*f)**(-1/10))/((f**(1/3)/f**(-2))/(f/f**2*f/(f*f/f**(-5/4)))) assuming f is positive. f**(-511/60) Simplify (m*m**(-7)*m)/(m*m**(2/3))*(m/(m/(m*m**(2/7)*m*m*m*m)))**(3/5)*m*m*m**(-4)/m*m*m**2*(m**(-1)*m*m)**(2/55) assuming m is positive. m**(-799/231) Simplify (n**3/n**(-1/7))/(n*n*(n*n**0)/n*n**(-1/11)/n)*((n*n/((n*n/(n*n**(1/4)/n*n)*n)/n*n)*n*n)**(1/18))**29 assuming n is positive. n**(3609/616) Simplify ((f*f**(-4)*f)**(-2/17)*(f*(f/(((f*(f**3/f*f*f)/f)/f)/f)*f)/f)**(-25))**(-8/15) assuming f is positive. f**(-32/255) Simplify (z**17/(z*z**(-28))*z**(-6/11)*z/z**(-6))**(11/4) assuming z is positive. z**(555/4) Simplify ((q**20)**(9/10)/(((q**(-6/17)*q)/q*q)/q*q*(q**(2/7)/q*q)/q))**(-2) assuming q is positive. q**(-4300/119) Simplify ((j**(2/5)*j*j)**(9/8))**(-11/3)/(((j/j**(-3))/j**(1/4))/((j*j**(-3)/j*j)/(j/((j**(-3/7)/j)/j)))) assuming j is positive. j**(-2671/140) Simplify (((t**6*(t**(2/7)*t)/t)**(2/5))**(1/21))**(-4/13) assuming t is positive.
{ "pile_set_name": "DM Mathematics" }
is prob of picking 2 n when two letters picked without replacement from jnnnhnhjjhnjhhnn? 7/40 Four letters picked without replacement from mmmmmnmmmnnmnmnm. Give prob of picking 4 m. 33/182 Four letters picked without replacement from snsnsssssssss. What is prob of picking 2 s and 2 n? 1/13 Three letters picked without replacement from gepegjppgpe. What is prob of picking 2 p and 1 e? 6/55 What is prob of picking 2 z when two letters picked without replacement from {b: 3, z: 13}? 13/20 Three letters picked without replacement from {k: 2, t: 5, x: 8, n: 1}. Give prob of picking 1 x and 2 t. 1/7 Two letters picked without replacement from {h: 3, m: 2, s: 10, l: 3, y: 1}. Give prob of picking 1 h and 1 l. 1/19 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {y: 3, w: 2, t: 1, o: 1}. 1/21 Calculate prob of picking 4 p when four letters picked without replacement from popmoopoopopoop. 1/91 What is prob of picking 3 p when three letters picked without replacement from tppppppp? 5/8 Calculate prob of picking 2 w when two letters picked without replacement from {w: 4}. 1 What is prob of picking 2 x and 1 v when three letters picked without replacement from vxxx? 3/4 Two letters picked without replacement from {e: 6, h: 5, x: 1, b: 3, r: 2}. Give prob of picking 1 e and 1 x. 3/68 What is prob of picking 1 z, 2 g, and 1 q when four letters picked without replacement from {q: 5, z: 9, u: 2, g: 2}? 1/68 Two letters picked without replacement from rtttttrrrttttrtt. What is prob of picking 1 r and 1 t? 11/24 What is prob of picking 1 w and 1 m when two letters picked without replacement from gxgxxxxgxgwmxg? 1/91 Three letters picked without replacement from pwwypwwg. Give prob of picking 1 w and 2 p. 1/14 What is prob of picking 1 w, 2 c, and 1 y when four letters picked without replacement from yccbw? 1/5 Three letters picked without replacement from {s: 1, e: 2, j: 1, t: 2, x: 2, o: 1}. What is prob of picking 1 e, 1 o, and 1 s? 1/42 What is prob of picking 3 s when three letters picked without replacement from qssqqqsqsaq? 4/165 Four letters picked without replacement from {f: 2, i: 4}. What is prob of picking 2 f and 2 i? 2/5 Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {n: 1, q: 2, b: 2, h: 1}. 1/20 Four letters picked without replacement from pphhpp. Give prob of picking 3 p and 1 h. 8/15 Three letters picked without replacement from gxzggxuxuizuxuxxxexu. Give prob of picking 1 e, 1 u, and 1 x. 2/57 What is prob of picking 3 e and 1 m when four letters picked without replacement from llkedemeee? 1/21 Three letters picked without replacement from xxxzxxxxxxxxzxz. What is prob of picking 2 x and 1 z? 198/455 Four letters picked without replacement from {n: 4}. What is prob of picking 4 n? 1 Calculate prob of picking 3 u when three letters picked without replacement from {o: 2, u: 5}. 2/7 What is prob of picking 1 k and 1 v when two letters picked without replacement from bvbkbbzvkkbkkkkzbbb? 14/171 Two letters picked without replacement from cpcxabacapxc. Give prob of picking 1 a and 1 b. 1/22 Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ocdcs. 1/5 Three letters picked without replacement from rsrssr. What is prob of picking 3 r? 1/20 What is prob of picking 4 o when four letters picked without replacement from afwoaoaoootttaa? 1/273 Calculate prob of picking 1 n, 1 l, and 2 d when four letters picked without replacement from {n: 1, d: 5, t: 2, x: 1, l: 1}. 1/21 Calculate prob of picking 1 m, 1 p, and 1 r when three letters picked without replacement from {u: 3, i: 2, m: 4, r: 1, p: 3, f: 2}. 12/455 Three letters picked without replacement from myyyyyhyyyyhmmcy. Give prob of picking 1 c and 2 m. 3/560 Three letters picked without replacement from {o: 9}. What is prob of picking 3 o? 1 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 4, c: 2}. 8/15 Three letters picked without replacement from {k: 6, x: 8, e: 1, s: 3, t: 1}. Give prob of picking 3 k. 20/969 Calculate prob of picking 2 q and 1 n when three letters picked without replacement from npqnzzzznqzzpqqpn. 3/85 What is prob of picking 1 m and 1 y when two letters picked without replacement from kyyeqmj? 2/21 Four letters picked without replacement from pppupppuppupupuupp. What is prob of picking 4 p? 11/68 Calculate prob of picking 1 s, 1 m, and 2 f when four letters picked without replacement from llomsvsvfsfvsv. 4/1001 Four letters picked without replacement from {g: 1, h: 3}. What is prob of picking 3 g and 1 h? 0 Calculate prob of picking 2 x when two letters picked without replacement from {c: 1, p: 7, x: 12}. 33/95 Three letters picked without replacement from {r: 1, e: 2, a: 4}. Give prob of picking 2 a and 1 r. 6/35 Two letters picked without replacement from mmbmbmsqksbkmkmmmm. What is prob of picking 2 s? 1/153 What is prob of picking 4 h when four letters picked without replacement from hhhhhhhmhhhhhhhhmhmh? 28/57 What is prob of picking 2 f, 1 n, and 1 q when four letters picked without replacement from fffvfqnq? 6/35 Three letters picked without replacement from qcci. What is prob of picking 2 c and 1 q? 1/4 Two letters picked without replacement from {j: 3, a: 3, v: 3, t: 6}. Give prob of picking 2 a. 1/35 Two letters picked without replacement from mtmmjmmjjjmjmmmmmm. Give prob of picking 2 m. 22/51 Two letters picked without replacement from {e: 12, a: 2, c: 3}. Give prob of picking 1 a and 1 e. 3/17 What is prob of picking 1 g, 1 m, and 1 p when three letters picked without replacement from zpwzzwgwxmmww? 1/143 Two letters picked without replacement from wonooknknkoo. Give prob of picking 1 o and 1 w. 5/66 Two letters picked without replacement from {b: 6, j: 5, v: 5, g: 4}. Give prob of picking 1 j and 1 g. 2/19 Three letters picked without replacement from trrrrqtrzutrr. Give prob of picking 1 q, 1 r, and 1 z. 7/286 What is prob of picking 3 a when three letters picked without replacement from aababaaaababaa? 30/91 Four letters picked without replacement from {g: 2, o: 1, n: 2, e: 2, b: 4, k: 1}. Give prob of picking 1 b, 2 n, and 1 e. 8/495 Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {c: 11, p: 3, j: 1, m: 2, k: 2}. 2/171 What is prob of picking 2 y when two letters picked without replacement from yypipipiyppi? 1/22 Two letters picked without replacement from khwkhbo. Give prob of picking 1 b and 1 k. 2/21 Two letters picked without replacement from {n: 1, t: 2, c: 2, w: 1}. Give prob of picking 1 t and 1 c. 4/15 Four letters picked without replacement from {f: 1, n: 3}. Give prob of picking 4 n. 0 Two letters picked without replacement from kkkddddf. Give prob of picking 1 d and 1 k. 3/7 Two letters picked without replacement from {n: 4, c: 3}. What is prob of picking 2 n? 2/7 What is prob of picking 1 o, 1 e, and 2 t when four letters picked without replacement from {t: 3, a: 1, e: 1, o: 1, p: 3, k: 2}? 1/110 Three letters picked without replacement from qjoqqqjjjjqqoqqqqj. What is prob of picking 3 o? 0 Three letters picked without replacement from {r: 2, d: 3, j: 2, k: 8, q: 1, m: 1}. Give prob of picking 1 d, 1 j, and 1 k. 6/85 What is prob of picking 4 o when four letters picked without replacement from rrzqrqrqoooooqr? 1/273 Calculate prob of picking 2 b when two letters picked without replacement from bthbthbbtbbhbtqhhbyt. 14/95 What is prob of picking 2 i and 1 t when three letters picked without replacement from {t: 4, i: 3, h: 6, y: 1, u: 2}? 3/140 Four letters picked without replacement from rrhcrzcqzqvzrrzccccz. What is prob of picking 1 h, 1 q, 1 v, and 1 r? 2/969 What is prob of picking 1 q and 3 a when four letters picked without replacement from {a: 6, l: 2, q: 11}? 55/969 Four letters picked without replacement from {w: 1, e: 1, a: 1, r: 1, j: 3}. Give prob of picking 1 e, 1 a, and 2 j. 3/35 Three letters picked without replacement from {d: 2, v: 2, u: 1}. Give prob of picking 1 d and 2 v. 1/5 What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 2, a: 4, y: 1, l: 4}? 2/55 Calculate prob of picking 1 y and 1 a wh
{ "pile_set_name": "DM Mathematics" }
et f be ((-1)/5)/((-1)/5). Sort f, -3, 3. -3, f, 3 Let a = -0.2 + -0.2. Let p(w) = -w**3 + w**2 + 7*w. Let c be p(3). Put a, c, 0.1 in descending order. c, 0.1, a Let g = 0.06 + -0.1. Let k = -131.96 - -129. Let y = g + k. Put -0.2, y, 1 in ascending order. y, -0.2, 1 Let r = 0.6 + 0.4. Let z = 0.6 - r. Sort -4, z, -0.3 in ascending order. -4, z, -0.3 Suppose q - 9 = -1. Suppose -4*h + q = -5*i, i - h + 0 = -2. Let u(f) = -2*f. Let n be u(-1). Sort n, i, -5 in descending order. n, i, -5 Let f be 16/(-88)*(-2)/4. Let u be 14/4 + (-2 - 0). Sort u, 1, f in descending order. u, 1, f Let b be (-26)/(-14) + (6 - 24/3). Put b, 4, -1/3 in decreasing order. 4, b, -1/3 Suppose 0*t - 5*t = 0. Let x be 4/(-8) + (-5)/(-2). Suppose -4*g - x*h + 24 = 0, 4*g + 0*h = h + 12. Put g, t, 2 in descending order. g, 2, t Let d be 78/52*(-4)/18*-3. Put d, 4, 2 in decreasing order. 4, 2, d Let w = 226 + -3392/15. Sort w, 5, -2, -0.3. -2, -0.3, w, 5 Let d = 189/2 - 97. Put 0, d, 2 in descending order. 2, 0, d Suppose -2*o - 1 + 9 = 0. Sort 2, o, 3 in increasing order. 2, 3, o Let s(h) = h + 11. Suppose -4*p - 3*w - 7 = 29, 0 = 5*p + 5*w + 40. Let a be s(p). Sort 3, -3, a in ascending order. -3, a, 3 Let i be (228/(-378))/((-85)/33). Let t = i - 12/119. Put 3, t, -0.5 in decreasing order. 3, t, -0.5 Let h(t) = t**3 + 10*t**2 + t + 10. Let v be h(-10). Sort -1, v, 4 in descending order. 4, v, -1 Suppose -w + 10 = 4*w. Let j = -19 - -22. Put 5, w, j in ascending order. w, j, 5 Let p = 0.35 - -0.05. Let t = p + -4.4. Let v = 116 + -115.9. Sort v, t, 0. t, 0, v Let f = 34.4 + -34. Put -2/3, f, -3/5 in increasing order. -2/3, -3/5, f Let b(w) = 4*w + 4. Let i be b(3). Suppose -i = 2*k - 8. Put k, 2, 11 in increasing order. k, 2, 11 Let u be (-5)/(360/27) + (-14)/(-16). Sort -4, -0.04, u. -4, -0.04, u Let j = -50 + 48. Sort 0, -1, j in decreasing order. 0, -1, j Suppose 0 = 2*h + 3 + 7. Let j = -17 + 17. Sort 5, h, j. h, j, 5 Let h(r) = r**3 - 4*r**2 + 3*r. Let s be h(2). Suppose -13 = -4*t + 5*f + 5, -4*f = -5*t + 18. Let k be 3/6*(t + s). Sort k, 0.1, -5 in descending order. 0.1, k, -5 Suppose 2*a = -5*w + 35, 0 = 3*w - 2*w - 2*a - 19. Sort 2, -2, w. -2, 2, w Let r be 3/15 - (-117)/15. Sort r, -3, 4 in decreasing order. r, 4, -3 Let g(c) = -c**2 + 10*c - 2. Let w be g(10). Sort w, 4, -3. -3, w, 4 Let t = -0.95 - 0.15. Let b = 0.3 + -0.4. Let r = b - t. Put 0.3, r, 0.1 in decreasing order. r, 0.3, 0.1 Suppose -3*f = 5*f - 128. Sort 4, -4, f, -2 in increasing order. -4, -2, 4, f Let t = -0.03 + 4.03. Let n = -40.2 + 40. Put t, -4, n in decreasing order. t, n, -4 Let k = -25 + 25.1. Put k, 1/3, 4 in increasing order. k, 1/3, 4 Let y be (-4)/(-8)*(-27044)/42. Let x = y + 533063/1785. Let u = -116/5 - x. Sort u, -2/17, 1. -2/17, u, 1 Let r = 7 + -2. Suppose 5*j = -3*f + 25, -f + 3 = -3*j + 4*j. Let u = j - 5. Sort u, 1/2, r in decreasing order. r, u, 1/2 Let k be 2/8 - 245/(-28). Let z be (k - 9)*2/2. Sort 5, z, -1 in decreasing order. 5, z, -1 Let w be (0/(-1))/1 + 4/(-26). Sort -2, 3, w, -1/4 in ascending order. -2, -1/4, w, 3 Suppose 9*a - 21 = 24. Put 0, a, -2, -3 in decreasing order. a, 0, -2, -3 Let d = 6 + -11. Put d, -1, 3 in ascending order. d, -1, 3 Let h = 194/7 - 28. Let m be 11/(-220) - 2/(-8). Put -5, m, h in increasing order. -5, h, m Let y(b) = -b**2 - 4*b - 2. Let c be y(-4). Put c, 3, 0.1, -13/4 in decreasing order. 3, 0.1, c, -13/4 Let r be (-15)/21 + (-4)/14. Suppose 4*z + z = 10. Suppose 4*f + 4*a + 4 = 0, 0 = -4*f + a + z - 1. Put -4, r, f in descending order. f, r, -4 Let w = -1 - -1.1. Let s = 36 - 37.7. Let m = -3.3 + s. Sort -1/6, w, m. m, -1/6, w Let g = 18 - 15. Sort -4, -7, g in descending order. g, -4, -7 Let z = 0.6 + 0.4. Let o = 0.9 - z. Let p = o + 1.1. Put 4/5, -1, p in ascending order. -1, 4/5, p Let s be 198/(-12)*(-3)/36*2. Sort s, -5, -1/10. -5, -1/10, s Let i(p) = -3*p**3 - 2*p**2 + 4*p - 1. Let o be i(-2). Put o, 1, -2/3 in increasing order. -2/3, 1, o Let y(i) = i - 2. Let a be y(3). Suppose -3*g - 10 = -8*g. Suppose 17 = 4*v + 5*z, -4*v - 10 = -9*v - 4*z. Sort g, a, v in decreasing order. g, a, v Let u = 5.75 - -0.25. Let s = u + -10. Sort s, 3, -0.1 in descending order. 3, -0.1, s Suppose b - 5*l = -4, -l - 2*l = 0. Sort -16, -3, b in decreasing order. -3, b, -16 Let i = -17 - -16.8. Put i, -1, -2/7 in ascending order. -1, -2/7, i Let y be ((0 - -1) + 10)*-2. Let n be (-6)/(-9) + 210/(-9). Let i = y - n. Sort -0.2, 2/19, i. -0.2, 2/19, i Let l be (4 + -5)/(1 + -1 + -1). Put -4, -1, l in decreasing order. l, -1, -4 Let f be ((-18)/16)/(-3*(-1)/2). Put -2, f, -0.2, -0.1 in decreasing order. -0.1, -0.2, f, -2 Let j = -11 + 15. Let p be (1 + 2)*4/6. Let w = 19 - 19. Put p, w, j in descending order. j, p, w Suppose -2*q = -5*q + 12. Let p = -9 - -4. Let g = -2 + 2. Sort p, g, q in decreasing order. q, g, p Let f(v) = v - 1. Let k be f(1). Put -3, k, 2 in descending order. 2, k, -3 Suppose 140*g + 13 = 127*g. Suppose 6*u = 2*u. Suppose 0*d + 14 = d - 3*v, -5*d = -v - 28. Sort u, d, g in descending order. d, u, g Suppose -5*j + 2*g - 3*g = 3, -2*j - 12 = 4*g. Let y = -274 + 276. Put j, y, -5 in descending order. y, j, -5 Let z = -58 - -63. Put 37, 3, z in descending order. 37, z, 3 Let y(x) = -2*x**2 + 3*x + 3. Let k be y(3). Let c be 4/k*9/(-2). Sort 2, c, 4 in increasing order. 2, c, 4 Let y = -57.2221 - -0.1221. Let h = 60 + y. Let t = h + -3. Sort 0.1, 0.3, t in ascending order. t, 0.1, 0.3 Let b(f) be the third derivative of -f**6/120 + f**5/10 - 5*f**4/24 + 6*f**2. Let o be b(5). Put o, -7, -5 in decreasing order. o, -5, -7 Let k = -59 - -58. Let i = 1 + 0. Put k, i, 0 in descending order. i, 0, k Let t(u) be the third derivative of -3*u**4/4 + 3*u**2. Let i be t(1). Let o be (-12)/i + (-20)/(-6). Put -1, o, -2 in descending order. o, -1, -2 Let b = -1.96 - 0.04. Let g = 0 - b. Let y = -3 + g. Put 5/2, y, 3 in ascending order. y, 5/2, 3 Let x = 2 + -1. Let c = -15 + 14.6. Sort c, x, -0.3 in decreasing order. x, -0.3, c Let i(d) = -d**2 - 2*d + 3. Let s be i(2). Let v = -4 - -6. Suppose 2*n + 5 = 5*o, -o + 5*n - 2*n = -14. Sort o, v, s in descending order. v, o, s Let g(d) = -d + 6*d**2 - 12 + 5*d**2 - d**2 + d**3. Let z be g(-10). Sort -1, z, -5 in decreasing order. -1, z, -5 Let b = 1.1 + -0.9. Let m = 2/29 - 68/145. Sort -1, b, m in descending order. b, m, -1 Suppose x - 11 - 10 = 5*r, -13 = 4*r + 3*x. Sort r, -2, -5 in descending order. -2, r, -5 Suppose -4*m + 5*j + 28 = 0, 5*j + 10 + 2 = -4*m. Suppose m*f - 7*f = 0. Let p(z) = 2*z + 26. Let h be p(-15). Sort f, h, 5 in increasing order. h, f, 5 Let o be ((-15)/(-6))/((-3)/(-6)). Sort -4, o, -15, 4. -15, -4, 4, o Suppose -5*k + 3*w = 16, -2*w = -0*k + 2*k. Let y = 3 + -7. Sort k, 4, y. y, k, 4 Let o = 7 - 4. Let x = o - 2.8. Let s = -0.41 - -0.21. Put s, x, 3/2 in increasing order. s, x, 3/2 Let u = -8.2 + 4.2. Let v = -3 + 4. Let n = v + -1. Sort n, -3/2, u. u, -3/2, n Let c(g) = g - 2. Let x be c(2). Let z(b) = 3*b + 35. Let p be z(-11). Sort 5, x, p in decreasing order. 5, p, x Let n be (-1)/20 - 1/(-4). Let i = 1 - 1.2. Let k(q) = -q**3 - 2*q**2 - 3*q - 5. Let h be k(0). Put n, i, h in ascending order. h, i, n Let x be ((-4)/((-48)/(-9)))/(3/(-12)). Sort x, -0.3, 0 in descending order. x, 0, -0.3 Let o = -17 + 35. Suppose 0 = q - 0*q + x, 4*q = 2*x - o. Let s = 2 + -2.5. Sort 4/7, q, s in decreasing order. 4/7, s, q Let y = 5 + -3. Suppose y*l - 7*l - 20 = 2*f, -f = 0. Sort l, 1, -3 in decreasing order. 1, -3, l Let g = 27 - 39. Sort -0.2, -5, g in decreasing order. -0.2, -5, g Let f = 80 - 84. Sort 8, 0, f in descending order. 8, 0, f Let b(s) = s**2 - 14*s - 5. Let q be b(14). Put 2, 1, q, -26 in decreasing order. 2, 1, q, -26 Let h be (-34*(-2)/(-4))/(-1). Let d = -15 + h. Put -1/2, d, -0.4 in decreasing order. d, -0.4, -1/2 Let f be (-2)/6 + 42/(-9). Suppose 3*w = -13 + 58. Let n be 10/(-4)*(-12)/w. Sort n, -4, f in ascending order. f, -4, n Let g be 2*(0 - (-36)/8). Let q = g - 9. Put q, -1, 3 in increasing order. -1, q, 3 Let b = 0.2 - 0.2. Suppose 4*n - 7*n + 4 = 2*j, 5*j - 3*n - 10 = 0. Sort j, -5, b in descending order. j, b, -5 Let t = 3 + -2.8. Let a = t - 0.5. Let c = -4.3 + -0.7. Sort 1/3, c, a in increasing order. c, a, 1/3 Let u(r) = 4*r + 7. Let z be u(-3).
{ "pile_set_name": "DM Mathematics" }
v(x) = -26*x**3 + 13*x. Let t(m) = -84*m**3 + 184*m**3 - 34*m**2 - 6*m + 34*m**2 - 87*m**3. Determine y*t(q) + 6*v(q). 13*q**3 Let x(n) be the second derivative of -n**3/2 - n**2 - n. Let w(p) = -39*p - 27. Let y(o) = -1229*o - 44246. Let u be y(-36). Calculate u*w(q) + 27*x(q). -3*q Suppose 3*f + 6 = -0. Let x be 33 - (-9 + 39) - 4. Let y(j) be the first derivative of -j + 7. Let s(d) = -d + 5. Calculate f*y(a) + x*s(a). a - 3 Let g(a) = -22*a**2 + 4*a - 24. Let s(j) = 4*j**2 - j - 1. Give -g(m) - 5*s(m). 2*m**2 + m + 29 Let x(g) = 3*g**2 - 427*g + 5. Let t(a) = -9*a**2 + 1280*a - 14. Calculate 4*t(y) + 11*x(y). -3*y**2 + 423*y - 1 Let l(f) = -1. Let a(d) = 24*d - 6. Suppose 0 = 3*v + 4 - 1, -4*v - 34 = 5*u. What is u*l(t) + a(t)? 24*t Let m(y) = -5234*y + 3 - 5230*y + 10468*y - 2 + 3. Let s(b) = -4*b - 3. What is 4*m(d) + 5*s(d)? -4*d + 1 Let b(j) = j**2 - j - 1. Let v(p) = -12*p**3 + 6*p**2 - 44*p - 118. Let w(n) = 2*n**3 - n**2 + 9*n + 25. Let o(l) = -3*v(l) - 14*w(l). Calculate 4*b(z) + o(z). 8*z**3 + 2*z Let u(z) = -z**2 - z + 1. Let h be 14/12*6*(-4)/(-7). Suppose 5*k = -4*b + 2*b - 25, -h*k + 2*b = 2. Let s(q) = 8*q**2 + 3*q - 3. Calculate k*u(m) - s(m). -5*m**2 Let t(q) = -710 + 1528 - 29*q**2 - 818 + 9*q. Let r(a) = 15*a**2 - 4*a. What is 9*r(k) + 4*t(k)? 19*k**2 Let z be 84 - ((-7)/(7/4) - -7). Suppose 9 = 18*h - z. Let l(j) = 4*j - 5. Let k(c) = 0 - 9 + 0*c + 4*c + 3*c. Calculate h*l(t) - 3*k(t). -t + 2 Let r(m) = -m**2 + m + 1. Let c(g) = 5*g**2 + 3*g + 3. Let i(f) = 286*f - 571. Let a be i(2). Determine a*c(l) - 3*r(l). 8*l**2 Let g(m) = 3*m**3 + 10*m**2 - 7*m + 15. Let s be 76/(-16) + (6 - (-25)/(-4)). Let d(w) = -2*w**3 - 7*w**2 + 5*w - 10. What is s*g(t) - 7*d(t)? -t**3 - t**2 - 5 Let y(a) = a**2 + 4*a - 14. Let h(z) = 97*z - 26*z - 31*z - 37*z - 13 + z**2. Calculate 4*h(u) - 3*y(u). u**2 - 10 Let m = 1803 + -1800. Let d(k) = k**3 - 4*k**2 - 1. Let a(n) = -2*n**3 + 3*n**2 + 1. Calculate m*a(b) + 4*d(b). -2*b**3 - 7*b**2 - 1 Let n(q) = 328*q - 15. Let w(g) = 981*g - 39. Determine 8*n(y) - 3*w(y). -319*y - 3 Let v(w) = -4*w + 5. Let d(q) = -21*q + 26. Suppose 5*s = 2*s - 33. Suppose -3*k = -12, 5*x - 12*k + 10*k - 2 = 0. What is s*v(p) + x*d(p)? 2*p - 3 Let q(t) = -2485*t - 15. Let o(p) = -1233*p - 8. Determine -11*o(y) + 6*q(y). -1347*y - 2 Suppose 24 = -22*w + 25*w. Let p(c) = 2*c**2 + 2*c. Let g(u) = -3*u**2 + 4*u. Let s(v) = v**2 - v. Let m(y) = 2*g(y) + 7*s(y). Calculate w*m(k) - 3*p(k). 2*k**2 + 2*k Let i(s) = -s - 10. Let n(j) = -4878*j + 40. Determine 8*i(q) + 2*n(q). -9764*q Let c(y) = -66*y**2. Let d = -7102 - -7111. Let r(l) = 33*l**2. Give d*r(i) + 4*c(i). 33*i**2 Let c(x) = -58*x**3 - 5*x**2 - 18*x - 1. Let y(q) = 59*q**3 + 6*q**2 + 22*q + 2. Determine -6*c(f) - 5*y(f). 53*f**3 - 2*f - 4 Let s(x) = 2*x + 2. Let c(k) = -k**3 + 10*k**2 + 12*k - 10. Let h be c(11). Let y(p) = -15. Let q(v) = -74. Let b(n) = -q(n) + 5*y(n). What is h*s(o) - 5*b(o)? 2*o + 7 Let f(s) = s**2 - 4*s - 3. Let a(m) = 53*m - 904. Let v be a(17). Let r(x) = 2*x**2 - 8*x - 5. Calculate v*r(z) + 5*f(z). -z**2 + 4*z Let g be (6/(-4))/((-15)/40). Let m(b) be the second derivative of b**3/2 - b**2 + 5*b + 1. Let y(v) = 5*v - 4. Give g*y(h) - 7*m(h). -h - 2 Let i(a) = 5*a + 3. Let t(u) = -u - 1. Let c = -67 - -124. Suppose c - 2 = 5*h. Let o(y) = y - 12. Let r be o(h). Calculate r*i(g) - 4*t(g). -g + 1 Let i(p) = 8*p - 602. Let s(c) = -25*c + 1724. Calculate -17*i(g) - 6*s(g). 14*g - 110 Let v(q) = -q**2 + 2*q. Let x(d) = -53 + 4 + 1 - 21*d. Let h be x(-3). Let s(m) = -2*m**2 + 5*m. Give h*v(o) - 6*s(o). -3*o**2 Let t(c) = -2*c + 279. Let a(v) = 7*v - 1091. Determine -2*a(u) - 9*t(u). 4*u - 329 Let z(s) be the second derivative of s**4/3 - 2*s**2 - 39*s. Suppose -40 = 9*v + v. Let o(h) = 4*h**2 - 5. Calculate v*o(k) + 5*z(k). 4*k**2 Let p(o) = -o. Suppose m - 90*c = -85*c - 4, 2*m + 4*c = 6. Let d(b) = 7*b**2 - 4*b + 1. Determine m*d(a) - 6*p(a). 7*a**2 + 2*a + 1 Let o(i) = -3*i**3 - 16*i**2 - i + 88. Let b(t) = -6*t**3 - 30*t**2 - t + 160. What is 6*b(l) - 11*o(l)? -3*l**3 - 4*l**2 + 5*l - 8 Let l(v) = -15*v**2 - 2*v - 3. Let i(a) = -5*a**2 - 2*a + 1. Let f(k) = 2*i(k) - l(k). Let d(y) = 10*y**2 - 4*y + 11. Determine 3*d(p) - 7*f(p). -5*p**2 + 2*p - 2 Let z(s) = 7*s**3 + 30*s**2 - 3*s - 5. Let p(o) = 14*o**3 + 65*o**2 - 7*o - 9. Determine 6*p(v) - 13*z(v). -7*v**3 - 3*v + 11 Let m(o) = -27*o**3 + 33*o**2 - 4*o - 2. Let g(d) = -46*d**3 + 68*d**2 - 7*d - 3. Give -3*g(t) + 5*m(t). 3*t**3 - 39*t**2 + t - 1 Let v(u) be the first derivative of u**3/3 + u**2/2 + u + 1. Suppose 0 = -17196*z + 17315*z - 119. Let i(y) = -2*y**2 - 10*y - 2. Determine z*i(k) + 4*v(k). 2*k**2 - 6*k + 2 Let r(p) be the second derivative of -1/2*p**3 + 39*p - 2 + 4*p**2. Let g(m) = -2*m + 7. Give -5*g(i) + 4*r(i). -2*i - 3 Let l(y) = -y**2 - 12*y - 29. Let a(b) = -b**2 - 15*b - 29. Give -3*a(x) + 4*l(x). -x**2 - 3*x - 29 Let p(x) = 52*x + 3677. Let d(c) = -19*c - 1226. Give 11*d(v) + 4*p(v). -v + 1222 Let l(g) = 7*g + 3. Let m(v) = -v**2 - 2*v + 104. Let w be m(-11). Let f(h) = 7*h + 4. What is w*f(i) - 6*l(i)? -7*i + 2 Let x(w) = 13*w + 73. Let d(z) = -12*z - 72. Calculate 9*d(j) + 8*x(j). -4*j - 64 Let c(a) = 5*a + 2. Let m(v) = -14*v - 1. Let z(b) = 9*b - 1. Let n(x) = m(x) + z(x). Calculate -3*c(s) - 4*n(s). 5*s + 2 Let n(y) = 45*y + 780. Let b(q) = 4*q + 7. What is -10*b(h) + n(h)? 5*h + 710 Let f(h) = 22*h**2 - 5. Let x(c) = -11*c**2 + 2. Let s(q) = -491*q + 4915. Let i be s(10). Calculate i*x(o) + 2*f(o). -11*o**2 Let q(v) = 710*v**2 + 3*v + 1. Let l(z) = 1436*z**2 + 7*z + 3. Give 2*l(o) - 5*q(o). -678*o**2 - o + 1 Let a(j) = j**3 + 2*j**2 - 6*j + 1. Let h(w) = 37*w**3 - 8*w**2 + 23*w + 6. Calculate -4*a(u) - h(u). -41*u**3 + u - 10 Let z be ((-18)/12)/((-2)/(-24)*3). Let q(h) = -7*h**2 - 5*h - 5. Let p(a) be the second derivative of -2*a**4/3 - 5*a**3/6 - 3*a**2 + a. Give z*q(v) + 5*p(v). 2*v**2 + 5*v Let w(u) = -103*u - 56. Let f(j) = 69*j + 35. Determine -7*f(g) - 5*w(g). 32*g + 35 Let i(t) = 265*t**3 + 3*t**2 + 8*t - 17. Let a(y) = -263*y**3 - 2*y**2 - 9*y + 11. Give 3*a(d) + 2*i(d). -259*d**3 - 11*d - 1 Let y(h) = -28*h**3 - 6*h - 6. Let s(x) = -28*x**3 - 7*x - 7. Let d be 467/1401 + (-38)/6. Determine d*s(b) + 7*y(b). -28*b**3 Let v(f) = -2*f**3 + 18*f**2 + 4*f - 3. Let u(k) = -3*k**3 + 30*k**2 + 6*k - 7. Give -3*u(q) + 5*v(q). -q**3 + 2*q + 6 Let p(m) = -3*m**2 - 12*m - 488. Let g(o) = 10*o**2 + 38*o + 1466. Determine 5*g(t) + 16*p(t). 2*t**2 - 2*t - 478 Let s(j) = -16*j - 25. Let a(l) be the first derivative of -3*l**2/2 - 5*l - 240. Determine -22*a(y) + 4*s(y). 2*y + 10 Let b(m) = -2*m**3 + 3*m**2 + 2*m - 5. Let g = -8811 + 8817. Let x(n) = n**3 - n**2 + 1. Calculate g*x(h) + b(h). 4*h**3 - 3*h**2 + 2*h + 1 Suppose 119*r + 23*r - 710 = 0. Let j(m) = -2*m**2 + m. Let f(t) = 3*t**2 - 2*t. Calculate r*j(o) + 4*f(o). 2*o**2 - 3*o Let l(q) = q + 1. Let n be (42/(-4))/(-7)*1*10. Suppose -6*a = -n + 3. Let t(x) = -4*x**2 + 29 + x**a + 2*x - 27. Give -2*l(z) + t(z). -3*z**2 Let m = -32 - -73. Let h(q) = -m*q**2 - 35*q**2 + 82*q**2. Let l(r) = -r**2. Determine h(n) + 3*l(n). 3*n**2 Let t(j) = 5*j**2 + 9798*j - 19596*j + 9799*j - 3. Let z(c) = c**2 + c. Calculate -t(d) + 3*z(d). -2*d**2 + 2*d + 3 Suppose -3*b + 34 = -2*l, -4*b = 13*l - 11*l - 8. Let r(z) = -26*z + 1. Let d(w) = 26*w - 1. Give b*d(a) + 4*r(a). 52*a - 2 Let v be 56/(-21)*3/2. Let m(r) = 5*r. Let j be (4/(-6))/(7 - (-802)/(-114)). Suppose j*w - 22*w + 3 = 0. Let o(s) = s. What is v*o(k) + w*m(k)? k Suppose 283*o - 477 = 2636. Suppose -4 = 3*l + 8. Let n(x) = 8*x + 11. Let r(w) be the first derivative of 3*w**2/2 + 4*w - 1. Calculate l*n(z) + o*r(z). z Let r = -4 + 18. Let b = r + -7. Let w(u) = 4 + 2*u - 6 + 2 - 1. Let a(l) = l - 1. What is b*a(q) - 4*w(q)? -q - 3 Let a(c) = -13*c + 2. Let v(d) = -13*d + 2. Suppose -155*i - 64*i = -1368 + 273. Determine i*a(j) - 6*v(j). 13*j - 2 Let t(s) = -641484*s + 13905. Let o(n) = 923*n - 20. Determine -2781*o(p) - 4*t(p). -927*p Let c(y) be the first derivative of -2*y**3/3 - 3*y**2 - 6786. Let j(s) = s**2 - s. Determine c(u) - 5*j(u). -7*u**2 - u Let c(b) be the first derivative of 0*b + 7/2*b**2 - 69 - 16/3*b**3. Let u(m) = 5*m**2 - 2*m. Calculate 2*c(y) + 7*u(y). 3
{ "pile_set_name": "DM Mathematics" }
285/3. Let 1/3*o**5 - 7/3*o**4 + l*o - 6*o**3 + 3 - 2/3*o**2 = 0. Calculate o. -1, 1, 9 Suppose 676 = -2283*b + 2309*b. Let o(w) be the second derivative of 0 + 0*w**3 - b*w + 0*w**2 - 5/12*w**4 + 1/4*w**5. Find t, given that o(t) = 0. 0, 1 Let r be (-2)/(-13 - 876/(-68)). Let g(x) be the third derivative of 1/160*x**5 - 3/16*x**3 + 0 + 0*x - 1/32*x**4 + r*x**2. Determine c, given that g(c) = 0. -1, 3 Determine w so that 79*w**4 - 100*w**3 + 41*w - 9*w + 69*w**4 - 22*w**3 - 134*w**4 + 76*w**2 = 0. -2/7, 0, 1, 8 Find c such that 0 + 72*c - 158*c**3 + 204*c**2 - 7/3*c**5 + 103/3*c**4 = 0. -2/7, 0, 3, 6 Factor -5808/7*p - 2/7*p**2 - 4216608/7. -2*(p + 1452)**2/7 Let t(y) = 6*y**3 + 144*y**2 + 282*y + 136. Let d(s) = s**3 + s**2 + 2*s. Let a(g) = -4*d(g) + t(g). Factor a(b). 2*(b + 1)**2*(b + 68) Let u = 174090 + -870446/5. Solve 56/5*b**2 - u*b**3 + 0*b + 0 = 0 for b. 0, 14 Let z(g) be the second derivative of -g**4/20 - 5*g**3 - 423*g**2/10 - 1163*g. Factor z(m). -3*(m + 3)*(m + 47)/5 Factor -140*y + 31*y**4 - 1068*y**2 + 485*y**3 + 341*y + 139*y - 16*y**4 + 228*y**2. 5*y*(y - 1)*(y + 34)*(3*y - 2) Let j(y) be the third derivative of y**8/336 - y**7/35 + y**6/15 + y**2 - 397. Factor j(r). r**3*(r - 4)*(r - 2) Let o(c) be the second derivative of 3*c**5/140 + 25*c**4/14 - 52*c**3/7 + 1314*c + 1. Factor o(d). 3*d*(d - 2)*(d + 52)/7 Let y = 1876 - 1544. Let v be (-120)/16*(y/(-100) - -3). Suppose -v + 9/5*o**3 + 21/5*o + 42/5*o**2 = 0. What is o? -4, -1, 1/3 Let u(i) be the second derivative of -i**7/210 + i**6/90 + 4*i**5/15 - 2*i**4 + 53*i**3/6 + 30*i + 1. Let o(x) be the second derivative of u(x). Factor o(v). -4*(v - 2)**2*(v + 3) Let o(h) be the first derivative of h**4/2 + 298*h**3 + 446*h**2 + 2946. Factor o(g). 2*g*(g + 1)*(g + 446) Let g(m) be the first derivative of -m**5/330 - 5*m**4/44 - m**2 - 58. Let k(u) be the second derivative of g(u). Determine a, given that k(a) = 0. -15, 0 Let v(b) be the second derivative of -b**4/16 + 121*b**3 - 403*b. Factor v(u). -3*u*(u - 968)/4 Let x(l) be the second derivative of -23*l + 0*l**3 - 7/108*l**4 - 1/270*l**5 + 0 + 16*l**2. Let b(v) be the first derivative of x(v). Solve b(g) = 0 for g. -7, 0 Let k(h) be the second derivative of h**7/105 - 8*h**6/15 + 213*h**5/50 - 51*h**4/5 - 6636*h. Suppose k(f) = 0. Calculate f. 0, 3, 34 Let f(o) be the first derivative of -8/7*o**2 + 0*o + 1/14*o**4 - 178 - 2/3*o**3. Factor f(n). 2*n*(n - 8)*(n + 1)/7 Let m be (160/(-60) - 17)*(0 + -3). Suppose -s = -j + 5, 57*j + 1 = m*j + s. Determine i so that 2/3*i**3 + 0*i + 0 + j*i**2 = 0. -3, 0 Let w(u) = 6*u**2 - 32*u + 16. Suppose 5*p - 4*f = 19, 3*p - f + 8 = 6*p. Let d(o) = 2*o**2 - 11*o + 5. Let q(b) = p*w(b) - 8*d(b). Find r such that q(r) = 0. 2 Let u be (-418)/(-51) - 6 - 2. Let s = u - 1/34. Find n, given that 1/2*n**2 + 0 + s*n**4 - 1/6*n - 1/2*n**3 = 0. 0, 1 Let r(t) be the third derivative of -t**8/80640 + t**7/1008 - 5*t**6/144 - t**5/20 - 91*t**2. Let a(k) be the third derivative of r(k). Factor a(x). -(x - 10)**2/4 Let n(s) = -3*s**2 - 340*s - 8744. Let o be 1/(-4) - (-153)/36. Let a(l) = 9*l**2 + 1016*l + 26233. Let v(y) = o*a(y) + 11*n(y). Suppose v(u) = 0. What is u? -54 Suppose 4*q - 6 - 2 = 5*d, -4*q + 8 = -2*d. Factor -3*b - 9*b + q*b + b**2 + 14*b. b*(b + 4) Let i be -6 + 4*(-4)/(-16) + 125/25. Let h(c) be the first derivative of -2/45*c**5 + 0*c**3 - 42 + 0*c**2 - 1/18*c**4 + i*c. Solve h(l) = 0. -1, 0 Let s be ((-37)/(3 - 225))/(20/64). Suppose s + 16/15*w + 2/5*w**2 = 0. Calculate w. -2, -2/3 Let c(b) = -8*b**3 + 2*b**2 - 7*b. Let s = -4 - 3. Suppose 0 = -0*z - 5*z - 30. Let d(v) = 7*v**3 - 2*v**2 + 6*v. Let k(y) = s*d(y) + z*c(y). Factor k(o). -o**2*(o - 2) Let x(q) = 4*q**3 - 116*q**2 + 106*q + 212. Let w(r) = 8*r**3 - 234*r**2 + 215*r + 422. Let v(s) = 2*w(s) - 5*x(s). Factor v(a). -4*(a - 27)*(a - 2)*(a + 1) Let k(d) be the third derivative of d**7/210 - 13*d**5/30 + 2*d**4 - 32*d**3/3 - 251*d**2. Let o(a) be the first derivative of k(a). Factor o(g). 4*(g - 3)*(g - 1)*(g + 4) Suppose 506*j - 46 = 504*j. Factor -2*m**5 + m**3 + 16*m - 146*m + 92*m**2 + 50 + 0*m**4 - j*m**4 + 3*m**3 + 9*m**4. -2*(m - 1)**3*(m + 5)**2 Let i be (5/16)/((-3366)/(-6336)). Let 8/17*r**2 - i*r + 0 + 2/17*r**3 = 0. What is r? -5, 0, 1 Let q(y) = -2*y**2 - 2 + y**2 - 5*y - 3 + 2. Let z be q(-3). Factor -20*a + 495 - 30*a**4 - 495 - 65*a**z - 5*a**5 - 60*a**2. -5*a*(a + 1)**2*(a + 2)**2 Factor 85*g**2 + 172*g**2 + 362*g**3 + 62*g**2 - 112*g**3 - 67*g**2 - 2*g**4. -2*g**2*(g - 126)*(g + 1) Let o(f) = -f - 6*f**3 + 5*f**3 - 265 + 266. Suppose -a - 6 = -5. Let c(i) = 3*i**2 + 4*i - 2. Let r(l) = a*c(l) - 2*o(l). Factor r(n). n*(n - 2)*(2*n + 1) Suppose 4*o - 23 = 2*n - 19, 3 = 3*o. Let l(v) be the third derivative of 0*v**4 + 1/105*v**7 + n*v - 1/60*v**6 + 0*v**3 - 1/15*v**5 + 0 - 2*v**2. Factor l(s). 2*s**2*(s - 2)*(s + 1) Let l(c) be the second derivative of -c**4/12 + 13*c**3/3 - 69*c**2/2 + 971*c. Factor l(u). -(u - 23)*(u - 3) Determine j, given that 1408/9*j**3 - 3818/3*j**2 - 486 + 1/3*j**5 + 148/9*j**4 - 1899*j = 0. -27, -1, -1/3, 6 Suppose 42*v = 43*v + 43. Let m = v + 51. Find x, given that 4*x**3 + 14*x**4 + 16*x**5 - m*x**2 - 12*x**5 + 4*x**3 = 0. -2, 0, 1/2 Let j(s) be the second derivative of 7*s**7/30 - 21*s**6/50 - 129*s**5/50 + 47*s**4/30 + 31*s**3/2 + 45*s**2/2 - 13019*s. What is x in j(x) = 0? -1, 15/7 Suppose 221 = -45*a + 141*a - 180 + 305. Factor 1/4*z**2 + a - z. (z - 2)**2/4 Let p(d) = 121*d + 125. Let o be p(-1). Let w be o/(-102)*3 - (-207)/459. Solve -2/3 + 1/3*i + 2/3*i**2 - w*i**3 = 0. -1, 1, 2 Let p(j) = -j**4 - j**2 + 4*j + 1. Let n(o) = -o**5 + 126*o**4 + 241*o**3 + 128*o**2 - 28*o - 7. Let d(w) = -3*n(w) - 21*p(w). Factor d(z). 3*z**2*(z - 121)*(z + 1)**2 Let a = 106 + -106. Suppose -8 = -2*n - a*n. Solve 7*d**3 + 5*d**2 + 858*d - 863*d - 5*d**n - 2*d**3 = 0. -1, 0, 1 Let t(p) be the third derivative of -p**6/40 - 74*p**5/5 + 167*p**2 - 11. What is s in t(s) = 0? -296, 0 Suppose 9*a = 2 + 79. Factor -4*j**2 - 2*j + a*j**2 - j**3 - 8*j**2. -j*(j + 1)*(j + 2) Let g(f) be the third derivative of 1/5*f**6 - 4/105*f**7 + 3*f - 8/15*f**5 + 7*f**2 + 0*f**3 + 0 + 2/3*f**4 + 1/336*f**8. Factor g(x). x*(x - 2)**4 Let r = -1064 + 1064. Suppose -3*u + 8 + 1 = r. Let 0*t - 1/8*t**u + 0 + 1/8*t**4 + 0*t**2 = 0. Calculate t. 0, 1 Let l = -221 + 224. Factor -h**l - 3*h**3 - 287*h + h**4 + 4*h**2 + 287*h. h**2*(h - 2)**2 Let k = -418200 - -5436602/13. Factor 36/13 - k*u**3 - 4/13*u**2 + 18/13*u. -2*(u - 3)*(u + 2)*(u + 3)/13 Let y be 1*(-44)/(-6)*(-32)/(-176). Let r = 358/81 - 7/81. Suppose -1/3 + r*o**3 - y*o**4 - 5*o**2 + 7/3*o = 0. What is o? 1/4, 1 Let s(v) be the first derivative of -16/5*v + 2*v**2 - 4/15*v**3 + 69. Factor s(p). -4*(p - 4)*(p - 1)/5 Factor -2/7*x**3 - 170/7*x + 264/7 - 92/7*x**2. -2*(x - 1)*(x + 3)*(x + 44)/7 Let y = -153/70 - -81/14. Solve -6/5*l**4 + 1/5*l**3 - 3*l + 2/5 + y*l**2 = 0 for l. -2, 1/6, 1 Let d(v) be the second derivative of 0 + 100*v**2 - 25/2*v**4 + 198*v + 7/4*v**5 + 10/3*v**3 + 1/6*v**6. Factor d(o). 5*(o - 2)**2*(o + 1)*(o + 10) Let v(i) be the third derivative of i**6/1080 - 7*i**5/540 + 7*i**4/108 - 4*i**3/27 + 10*i**2 - 64*i. Factor v(k). (k - 4)*(k - 2)*(k - 1)/9 Factor -210*l**3 - 21840*l - 9104*l**2 - 796*l**2 - 1119*l**2 - l**4 - 10816 - 214*l**2. -(l + 1)**2*(l + 104)**2 Let w be (-12932)/(-854) - (-2 - 8). Let f(h) be the first derivative of 81/14*h**4 - w*h**2 - 246/7*h**3 + 18 - 40/7*h. Let f(t) = 0. Calculate t. -2/9, 5 Let q(p) be the first derivative of 3*p**5/20 + p**4 - 3*p**3/2 + 46*p**2 + 57. Let s(t) be the second derivative of q(t). Let s(c) = 0. What is c? -3, 1/3 Let q(o) be the first derivative of 3*o**5/20 + 33*o**4/2 + 726*o**3 + 15972*o**2 + 60*o - 163. Let c(p) be the first derivative of q(p). Factor c(k). 3*(k + 22)**3 Factor -129/2*f + 1/2*f**2 - 198. (f - 132)*(f + 3)/2 Let q(x) be the first derivative of 5*x**3/6 - 355*x**2/2 + 700*x - 585. What is o in q(o) = 0? 2, 140 Suppose -2*f = -3*z + 810, -4*f - 3*z = -9*f - 2043. Let s = f + 5347/13. Factor 6/13*j - s - 2/13*j**2. -2*(j - 2)*(j - 1)/13 Let o(l) be the second derivative of l**6/420 + 13*l**5/210 + l**4/7 + 25*l**2 - l + 56. Let w(t) be the first derivative of o(t). L
{ "pile_set_name": "DM Mathematics" }
, l, -5? l Let x = 0.05 - -0.35. Let m = 3.4 + -0.2. Let n = m + -2.9. What is the nearest to -0.03 in n, x, 0.5? n Let i = 4596.5 + -4596. Which is the closest to -14/25? (a) i (b) 3 (c) 1 (d) 2/7 d Let p = 4 - 4.2. Let k = -12.483 + -0.117. Let z = -12.7 - k. Which is the closest to z? (a) -0.07 (b) 2/9 (c) p a Let h = -7059 + 49411/7. What is the closest to h in -0.5, 9/49, 4? -0.5 Let x = 0.259 - -0.241. Which is the nearest to -14? (a) x (b) 0.3 (c) 11 b Let m = -5932 + 5944. What is the nearest to -0.2 in 16, -5/4, m? -5/4 Let x = 0.6286 + 4.3714. Which is the closest to -0.1? (a) -11 (b) -5/6 (c) x (d) -5/2 b Let m = -5316.8 - -5317. Which is the nearest to m? (a) 11 (b) 151 (c) -3 c Let y = -2/13029 - 13013/104232. Which is the closest to y? (a) 6/11 (b) -2 (c) 12 (d) 5 a Let k = -1206/19 - -7141/114. Let y = -0.02 - -0.32. Which is the nearest to -0.3? (a) y (b) -3/10 (c) k b Let v be (-42 - 1) + (0 - (2 - 4)). Let x = v - -43. Let k be x*-2 + 391/92. Which is the nearest to k? (a) 0.2 (b) -1/4 (c) -0.5 a Let g = -1.7 + 2. Let w = g - 0.6. Suppose 9*d - 1823 + 905 = -873. What is the nearest to 2 in -0.2, d, w? -0.2 Let s = -0.15 + 0.25. Let p = -54 - -18. Let w = 40 + p. What is the closest to 2/9 in w, s, 0.2? 0.2 Let x = -12081 - -12082. Which is the nearest to 0? (a) x (b) -12 (c) 10 (d) -4 a Let s = 144.5 + -145. Suppose -49*i = -43*i. Let x = -4/13 + 70/143. Which is the nearest to i? (a) s (b) x (c) 0.3 b Let v = -1.7197 - 0.2803. Let a = 19 - 20. What is the closest to v in 1, 4, a? a Let t = -5639 + 5638.96. What is the closest to 41 in -0.5, t, 2, -0.4? 2 Let q = 1385 + -1384. Let s = -2 + 2.3. Which is the nearest to -0.2? (a) q (b) -5 (c) s (d) -1 c Let p = 0.058 + 2.022. Let y = 173 + -171.42. Let r = p - y. What is the closest to -0.1 in -2/7, 3, r? -2/7 Let y = -3 - 0. Let j = y + 3.4. Let h = 1767 + -1765. Which is the nearest to h? (a) 0.3 (b) j (c) -2 b Suppose -a - 4*t + 101 = 0, a - t + 4*t - 100 = 0. Let f = 97 - a. Let o be (-4)/12 - 2/3. What is the nearest to o in 4, f, -2/5? -2/5 Let s = -2 - -1. Let x = -787 + 785.5. Let t = -3.5 + 4. What is the closest to -1 in x, t, s? s Let z = 212.0206 - 0.0206. Let f = z + -208. Let u = -0.1 + 0. Which is the closest to u? (a) 5 (b) f (c) 6 b Let k(u) = 5*u**3 - 12*u**2 + u - 24. Let w be k(3). Which is the nearest to 4? (a) w (b) 3/13 (c) -1/5 (d) 0.2 a Suppose m + 10*p = -53, 25*m + 3 = 29*m - 3*p. What is the closest to 1 in m, -20, -6.2? m Let v = 36968 + -36967.6. Which is the closest to 1? (a) 2/9 (b) v (c) -2/97 b Suppose 0 = -m - m - 46. Let t(p) = 7*p**2 + 6*p + 2. Let a be t(-2). Let c = a + m. What is the closest to 2/7 in c, -2/5, 0? 0 Let l be ((-3)/(-63))/(284/(-994)). Which is the closest to 8/11? (a) -0.4 (b) l (c) 0 (d) -1 c Suppose -78*p + 153 = -129*p. Which is the closest to -0.7? (a) p (b) -0.05 (c) 2 b Let j be -8 + (-13)/((-91)/84) + 9. What is the nearest to 2 in -4, j, 0.05, 0.4? 0.4 Let p = -0.1 - -0.2. Let j = -340 - -340.01. Let l = 0.6 - -1.4. What is the closest to p in l, j, 0.1? 0.1 Let q = -696 + 696.297. Let p = q + -0.077. Which is the closest to -1? (a) 0 (b) 3 (c) p a Let h = 340 + -340.405. Let u = h + 16.405. Suppose 2*j + 0 + 8 = 0. Which is the nearest to -0.1? (a) -3 (b) j (c) u a Let i = -0.3 + -0.1. Let m(y) be the first derivative of -4*y**3/3 + 107*y**2/2 + 32*y + 28. Let p be m(27). What is the closest to p in i, -2/9, -4? -2/9 Let s be -3 + -5 + ((-2321572)/(-16080))/19. Let k = s + 1/804. What is the nearest to -1 in 5, k, 1/4? k Let o = -351.2 - -351.1. What is the closest to o in 5, -0.1, -1, -15? -0.1 Let i = -0.2 - -0.2. Let d be -4 + (-15)/(-5) - 1/1. Let s = 5/6 - 7/3. Which is the nearest to d? (a) 0.3 (b) s (c) i b Suppose 2*g + 42 = 3*l, -388*g + 387*g = -3*l + 33. What is the closest to g in 0.5, -2/13, -1/19, -0.5? -0.5 Let c = 2.877 - 373.877. What is the closest to 0 in c, 2, -0.2? -0.2 Let x = 12 + -9. Let m = 8386 + -8386. Which is the closest to m? (a) -6/7 (b) x (c) 4 a Suppose 0 = -2*m + 4*s - 20 - 0, 14 = -5*m + 4*s. Which is the nearest to -9? (a) -4/3 (b) -2 (c) -3 (d) m c Let f = -3 - 2. Let r = 633 + -691. What is the closest to r in -0.4, -2, f? f Suppose 18 = -3*r + 12*r. Let l be (-45)/(-13 - -4)*r/5. What is the closest to l in -1/4, 1.5, 2/7? 1.5 Let x be (9/(-42))/(9/63 + 34/56). What is the nearest to -0.4 in -0.01, -1, -4, x? x Let r = -5590 - -5590.4. Which is the closest to -0.21? (a) -2 (b) -1/6 (c) -0.3 (d) r b Let g = -3.93499 + 0.93499. Let k be (1 - 0)/(3/(-9)). Let y be (-1)/k + (-12)/9. What is the closest to y in g, -0.3, 2? -0.3 Let i(d) = d**3 + 5*d**2 + 2*d + 5. Suppose 4*j = -5*j - 45. Let w be i(j). Which is the nearest to 1? (a) 2/9 (b) w (c) 3 a Let h(k) = -4*k**3 + 2*k**2 + 7*k - 10. Let q be h(1). Let i(x) = x**3 + 4*x**2 + 4*x + 1. Let f be i(-3). Let r = 5 + -2. What is the closest to f in r, 5, q? q Let q = -3 - -2.9. Let s = -0.2499 + 0.7499. Which is the closest to 2/3? (a) s (b) q (c) -1 (d) -19 a Let w = 6114.5 + -6114. What is the closest to 72 in -0.3, w, 4/5, 0? 4/5 Let p = 29.14 + -28.94. Which is the nearest to 1/2? (a) 3/4 (b) p (c) 201 (d) -1/2 a Let k = 0.518 - -11.482. Let c = -29.5 - -29. What is the closest to 1/3 in -0.2, c, k? -0.2 Let o = 1.55 - -63.45. Let c = 65 - o. Let w be (-2)/(-5)*2/2. What is the nearest to -4 in w, 2/9, c? c Let k(x) = x**3 + 70*x**2 + 125*x - 746. Let p be k(-68). Which is the nearest to -5? (a) 0.5 (b) p (c) 3 (d) 20 a Let q(t) = -t**2 - 7*t - 8. Let u be q(-6). Let r = -144969 + 144970. What is the closest to r in -5, u, -1/5? -1/5 Let s = -33058 + 33063. What is the nearest to -2/7 in 234, 0.4, s? 0.4 Let g = 222/5 + -45. Let q(j) = j**3 - 5*j**2 + 29*j - 24. Let l be q(1). Which is the closest to -2/5? (a) g (b) 0 (c) l a Let h = 0.0374 - 0.0805. Let m = 0.3531 + h. What is the nearest to -2/9 in -3, -0.2, 4, m? -0.2 Let l = -775 + 777. Let x be 9/12*(-4)/6. Which is the nearest to -1? (a) x (b) l (c) 4 a Let k(x) = -x**3 - 3*x**2 + 9*x. Let f be k(-5). Let m = 1454 - 1453.4. What is the nearest to 3 in m, -5/4, f? f Let g = -0.2035 + 0.0035. Suppose 6*j - 14 = -20. Let q = 0.01 - 2.01. Which is the closest to g? (a) q (b) j (c) 0.07 c Let q = -1482 + 1481.9. Which is the closest to q? (a) 2/7 (b) -6/11 (c) 2/13 (d) 60 c Let p = -14345.034 - -14345. What is the nearest to 7 in 2/7, -3, p? 2/7 Let x be (0/2)/1 + (39 - 17374/442). Which is the closest to -52? (a) 1/2 (b) x (c) -0.5 c Let p = -16.17 + 16.27. What is the closest to p in 24/5, -4, -0.5? -0.5 Let x = -9867 + 9861. What is the closest to -1 in -3/2, -3/10, -5, x? -3/2 Let i be (-9)/12*(-24)/(-27). Let j = -13.308 + 11.308. What is the closest to j in i, 1/5, 9? i Suppose n - 952 = 15*n. Let s = n - -271/4. What is the nearest to -1 in -7, -2/11, s? s Let v = -21057/5 + 4211. What is the closest to -3 in -2/3, 0, 0.4, v? -2/3 Let z = 5155 - 211353/41. Which is the nearest to 0? (a) z (b) -3 (c) -5/2 (d) -0.3 a Let q = 989/7 + -141. Let p = 0.34 + -0.04. Let l = 7153 - 35767/5. Which is the nearest to q? (a) 4 (b) l (c) p c Let y = -998963/60 + 16649. Let o = 2/15 + y. Suppose 0 = 3*g - 5*g + 2. What is the closest to g in 3, -5, o? o Let x = 17.4 + -14.21. Let h = x - 3.69. Which is the closest to 4? (a) -11 (b) -4/5 (c) h c Let g = 3 - 5. Let k(d) = 10*d**2 + 4*d - 56. Let y be k(5). Let w = y + -1072/5. What is the closest to w in g, -5, -4? g Let a = -2 - -3. Let o be -5 - 2 - (1765/(-260) + 240/(-520)). What is the nearest to -20 in o, a, -3/4? -3/4 Let c = 3381.9 + -3382. What is the nearest to c in 0, 2/3, -0.057? -0.057 Let h = 0.978 + 8.822. What is the closest to -1/2 in -2, 4, h, 4/3? -2 Let z = -1.6 - -1.1. Let d be 1/4*(-8)/(-8). Let o = -398 + 1193/3. Which is the closest to o? (a) z (b) 6 (c) d a Let m = -46911 - -46907. Let q(k) = -k**2 - 3*k. Let s be q(-3). Which is the nearest to s? (a) -25 (b) m (c) -3 c Let j = 7194 + -14391/2. What is the nearest to 631 in 0.5, -3, j, 4? 4 Let v = -22/5 + 21/5. Let c = 0.12773 + -0.62773. What is the nearest to -1 in v, -1, c? -1 Let g = -291/5 + 868/15. What is the nearest to 0.86
{ "pile_set_name": "DM Mathematics" }
factors of 32829. 3, 31, 353 List the prime factors of 2759. 31, 89 List the prime factors of 1310. 2, 5, 131 List the prime factors of 12271. 7, 1753 What are the prime factors of 1570? 2, 5, 157 What are the prime factors of 38565? 3, 5, 857 What are the prime factors of 5726? 2, 7, 409 What are the prime factors of 1246? 2, 7, 89 List the prime factors of 350. 2, 5, 7 List the prime factors of 8125. 5, 13 List the prime factors of 130647. 3, 11, 37, 107 What are the prime factors of 20380? 2, 5, 1019 List the prime factors of 978. 2, 3, 163 What are the prime factors of 74379? 3, 24793 What are the prime factors of 2049? 3, 683 What are the prime factors of 2516? 2, 17, 37 List the prime factors of 34848. 2, 3, 11 What are the prime factors of 2553? 3, 23, 37 List the prime factors of 195224. 2, 23, 1061 What are the prime factors of 1398? 2, 3, 233 List the prime factors of 17853. 3, 11, 541 List the prime factors of 7840. 2, 5, 7 What are the prime factors of 16021? 37, 433 What are the prime factors of 425? 5, 17 List the prime factors of 1278. 2, 3, 71 List the prime factors of 2692. 2, 673 What are the prime factors of 37350? 2, 3, 5, 83 What are the prime factors of 5897? 5897 What are the prime factors of 6155? 5, 1231 List the prime factors of 69142. 2, 181, 191 What are the prime factors of 164? 2, 41 What are the prime factors of 9820? 2, 5, 491 List the prime factors of 724. 2, 181 List the prime factors of 6340. 2, 5, 317 What are the prime factors of 1225? 5, 7 List the prime factors of 5542. 2, 17, 163 List the prime factors of 28128. 2, 3, 293 What are the prime factors of 2849? 7, 11, 37 List the prime factors of 30176. 2, 23, 41 What are the prime factors of 2922? 2, 3, 487 What are the prime factors of 5728? 2, 179 What are the prime factors of 8358? 2, 3, 7, 199 What are the prime factors of 14583? 3, 4861 What are the prime factors of 11259? 3, 139 List the prime factors of 5861. 5861 List the prime factors of 38045. 5, 7, 1087 List the prime factors of 141590. 2, 5, 14159 What are the prime factors of 2306? 2, 1153 What are the prime factors of 7714? 2, 7, 19, 29 What are the prime factors of 122665? 5, 24533 What are the prime factors of 25408? 2, 397 What are the prime factors of 4504? 2, 563 List the prime factors of 293. 293 What are the prime factors of 13979? 7, 1997 List the prime factors of 116972. 2, 29243 List the prime factors of 403. 13, 31 What are the prime factors of 14492? 2, 3623 List the prime factors of 102513. 3, 34171 What are the prime factors of 8080? 2, 5, 101 List the prime factors of 15114. 2, 3, 11, 229 List the prime factors of 7334. 2, 19, 193 List the prime factors of 3373. 3373 List the prime factors of 1153. 1153 List the prime factors of 14889. 3, 7, 709 What are the prime factors of 2297? 2297 List the prime factors of 42563. 31, 1373 What are the prime factors of 1064? 2, 7, 19 What are the prime factors of 11736? 2, 3, 163 What are the prime factors of 820? 2, 5, 41 What are the prime factors of 6853? 7, 11, 89 What are the prime factors of 549? 3, 61 What are the prime factors of 3970? 2, 5, 397 What are the prime factors of 780? 2, 3, 5, 13 What are the prime factors of 679? 7, 97 List the prime factors of 19581. 3, 61, 107 List the prime factors of 17938. 2, 8969 List the prime factors of 61956. 2, 3, 1721 What are the prime factors of 1051? 1051 List the prime factors of 611. 13, 47 What are the prime factors of 57776? 2, 23, 157 List the prime factors of 10560. 2, 3, 5, 11 List the prime factors of 236. 2, 59 What are the prime factors of 5576? 2, 17, 41 What are the prime factors of 427? 7, 61 What are the prime factors of 2789? 2789 What are the prime factors of 10113? 3, 3371 List the prime factors of 562. 2, 281 What are the prime factors of 666? 2, 3, 37 What are the prime factors of 3280? 2, 5, 41 List the prime factors of 2147. 19, 113 What are the prime factors of 351? 3, 13 List the prime factors of 3504. 2, 3, 73 List the prime factors of 27352. 2, 13, 263 List the prime factors of 13653. 3, 37, 41 What are the prime factors of 41466? 2, 3, 6911 What are the prime factors of 26023? 53, 491 What are the prime factors of 10344? 2, 3, 431 What are the prime factors of 146? 2, 73 List the prime factors of 34005. 3, 5, 2267 List the prime factors of 5097. 3, 1699 What are the prime factors of 8858? 2, 43, 103 List the prime factors of 3337. 47, 71 List the prime factors of 10330. 2, 5, 1033 List the prime factors of 660. 2, 3, 5, 11 List the prime factors of 1771. 7, 11, 23 List the prime factors of 392. 2, 7 What are the prime factors of 383? 383 What are the prime factors of 12010? 2, 5, 1201 List the prime factors of 7980. 2, 3, 5, 7, 19 What are the prime factors of 69636? 2, 3, 7, 829 What are the prime factors of 5552? 2, 347 List the prime factors of 446. 2, 223 List the prime factors of 133169. 133169 What are the prime factors of 80? 2, 5 What are the prime factors of 24572? 2, 6143 List the prime factors of 38380. 2, 5, 19, 101 What are the prime factors of 1811? 1811 List the prime factors of 434. 2, 7, 31 List the prime factors of 65580. 2, 3, 5, 1093 What are the prime factors of 5768? 2, 7, 103 List the prime factors of 944. 2, 59 List the prime factors of 722. 2, 19 List the prime factors of 17996. 2, 11, 409 List the prime factors of 1063. 1063 What are the prime factors of 383? 383 What are the prime factors of 6917? 6917 What are the prime factors of 658? 2, 7, 47 List the prime factors of 11320. 2, 5, 283 What are the prime factors of 1144? 2, 11, 13 What are the prime factors of 1063? 1063 What are the prime factors of 1199? 11, 109 List the prime factors of 3924. 2, 3, 109 What are the prime factors of 4903? 4903 List the prime factors of 70408. 2, 13, 677 What are the prime factors of 74896? 2, 31, 151 List the prime factors of 5142. 2, 3, 857 What are the prime factors of 1546? 2, 773 List the prime factors of 4079. 4079 List the prime factors of 35210. 2, 5, 7, 503 List the prime factors of 16907. 11, 29, 53 What are the prime factors of 20599? 20599 List the prime factors of 76806. 2, 3, 17, 251 What are the prime factors of 28? 2, 7 What are the prime factors of 42628? 2, 10657 What are the prime factors of 6828? 2, 3, 569 What are the prime factors of 5819? 11, 23 What are the prime factors of 347? 347 What are the prime factors of 14300? 2, 5, 11, 13 List the prime factors of 3916. 2, 11, 89 List the prime factors of 8022. 2, 3, 7, 191 List the prime factors of 43082. 2, 13, 1657 List the prime factors of 5563. 5563 List the prime factors of 1551. 3, 11, 47 List the prime factors of 2833. 2833 What are the prime factors of 61362? 2, 3, 7, 487 List the prime factors of 35521. 35521 What are the prime factors of 384? 2, 3 What are the prime factors of 483? 3, 7, 23 What are the prime factors of 1479? 3, 17, 29 What are the prime factors of 46609? 127, 367 List the prime factors of 95376. 2, 3, 1987 List the prime factors of 787. 787 What are the prime factors of 1581? 3, 17, 31 What are the prime factors of 1559? 1559 What are the prime factors of 15857? 101, 157 What are the prime factors of 136334? 2, 11, 6197 List the prime factors of 1165. 5, 233 What are the prime factors of 2390? 2, 5, 239 What are the prime factors of 35925? 3, 5, 479 What are the prime factors of 3626? 2, 7, 37 List the prime factors of 81278. 2, 40639 What are the prime factors of 4291? 7, 613 List the prime factors of 869. 11, 79 What are the prime factors of 79894? 2, 43, 929 List the prime factors of 326. 2, 163 What are the prime factors of 5509? 7, 787 List the prime factors of 661. 661 What are the prime factors of 119273? 7, 11, 1549 What are the prime factors of 21982? 2, 29, 379 List the prime factors of 11684. 2, 23, 127 What are the prime factors of 5761? 7, 823 What are the prime factors of 51671? 163, 317 What are the prime factors of 1446? 2, 3, 241 What are the prime factors of 777? 3, 7, 37 What are the prime factors of 536? 2, 67 List the prime factors of 121234. 2, 60617 What are the prime factors of 1138? 2, 569 List the prime factors of 5875. 5, 47 What are the prime factors of 128760? 2, 3, 5, 29, 37 List the prime factors of 13621. 53, 257 What ar
{ "pile_set_name": "DM Mathematics" }
t of 173827? 7 What is the tens digit of 93409? 0 What is the thousands digit of 328431? 8 What is the hundred thousands digit of 2726040? 7 What is the hundred thousands digit of 3097834? 0 What is the ten thousands digit of 301264? 0 What is the ten millions digit of 12512670? 1 What is the units digit of 357206? 6 What is the ten thousands digit of 2946110? 4 What is the tens digit of 2686778? 7 What is the ten thousands digit of 482956? 8 What is the thousands digit of 414889? 4 What is the hundred thousands digit of 24612139? 6 What is the units digit of 2860633? 3 What is the thousands digit of 7862790? 2 What is the hundreds digit of 104812? 8 What is the hundreds digit of 29693270? 2 What is the hundreds digit of 214196? 1 What is the hundreds digit of 391111? 1 What is the hundred thousands digit of 861178? 8 What is the tens digit of 627339? 3 What is the units digit of 2158850? 0 What is the units digit of 7470589? 9 What is the tens digit of 157455? 5 What is the units digit of 6986455? 5 What is the tens digit of 569756? 5 What is the hundred thousands digit of 3918482? 9 What is the millions digit of 25027135? 5 What is the hundred thousands digit of 4651467? 6 What is the tens digit of 1880637? 3 What is the ten thousands digit of 314821? 1 What is the hundred thousands digit of 9632305? 6 What is the millions digit of 1714660? 1 What is the thousands digit of 236864? 6 What is the hundreds digit of 440168? 1 What is the tens digit of 3323307? 0 What is the hundreds digit of 2703528? 5 What is the ten thousands digit of 943516? 4 What is the tens digit of 1008968? 6 What is the thousands digit of 637955? 7 What is the millions digit of 4099077? 4 What is the hundreds digit of 1213217? 2 What is the ten thousands digit of 14479892? 7 What is the hundreds digit of 2168155? 1 What is the tens digit of 620087? 8 What is the millions digit of 10344979? 0 What is the ten thousands digit of 37781? 3 What is the hundreds digit of 703499? 4 What is the tens digit of 4328615? 1 What is the thousands digit of 16254413? 4 What is the thousands digit of 1316179? 6 What is the millions digit of 2282814? 2 What is the ten thousands digit of 14337822? 3 What is the millions digit of 1608016? 1 What is the hundred thousands digit of 106609? 1 What is the hundreds digit of 30853682? 6 What is the millions digit of 3527313? 3 What is the units digit of 3747677? 7 What is the thousands digit of 5863600? 3 What is the units digit of 452173? 3 What is the hundred thousands digit of 308687? 3 What is the thousands digit of 112919? 2 What is the tens digit of 1771640? 4 What is the units digit of 85211? 1 What is the tens digit of 3359154? 5 What is the hundreds digit of 593786? 7 What is the ten thousands digit of 587863? 8 What is the tens digit of 34770365? 6 What is the ten thousands digit of 146798? 4 What is the tens digit of 17748? 4 What is the hundreds digit of 85878? 8 What is the millions digit of 3472526? 3 What is the hundreds digit of 5075089? 0 What is the units digit of 67604? 4 What is the ten millions digit of 10167452? 1 What is the hundreds digit of 375419? 4 What is the millions digit of 5032998? 5 What is the tens digit of 5970168? 6 What is the millions digit of 1407864? 1 What is the hundred thousands digit of 1453799? 4 What is the tens digit of 67830? 3 What is the millions digit of 16706445? 6 What is the thousands digit of 1655429? 5 What is the ten thousands digit of 21723986? 2 What is the thousands digit of 30281964? 1 What is the thousands digit of 3574825? 4 What is the ten thousands digit of 119936? 1 What is the hundreds digit of 552454? 4 What is the hundred thousands digit of 6725148? 7 What is the hundreds digit of 22512839? 8 What is the units digit of 2611586? 6 What is the tens digit of 1156131? 3 What is the units digit of 679679? 9 What is the tens digit of 506181? 8 What is the hundred thousands digit of 1219410? 2 What is the ten thousands digit of 21503224? 0 What is the units digit of 9584281? 1 What is the tens digit of 480522? 2 What is the units digit of 7133283? 3 What is the hundred thousands digit of 136750? 1 What is the tens digit of 443568? 6 What is the hundreds digit of 349109? 1 What is the hundred thousands digit of 1919288? 9 What is the thousands digit of 6856710? 6 What is the ten thousands digit of 2055739? 5 What is the tens digit of 22061779? 7 What is the hundreds digit of 1968520? 5 What is the units digit of 125529? 9 What is the tens digit of 296843? 4 What is the hundreds digit of 5440910? 9 What is the hundreds digit of 143925? 9 What is the units digit of 425638? 8 What is the units digit of 826955? 5 What is the units digit of 456188? 8 What is the units digit of 1299650? 0 What is the ten thousands digit of 122652? 2 What is the hundreds digit of 1084387? 3 What is the millions digit of 16008054? 6 What is the units digit of 308062? 2 What is the tens digit of 76843? 4 What is the units digit of 1721879? 9 What is the tens digit of 253393? 9 What is the tens digit of 1410121? 2 What is the millions digit of 11665984? 1 What is the units digit of 470881? 1 What is the hundred thousands digit of 399906? 3 What is the millions digit of 4177680? 4 What is the hundreds digit of 96275? 2 What is the hundreds digit of 9162694? 6 What is the thousands digit of 1417701? 7 What is the units digit of 95421? 1 What is the ten thousands digit of 1140913? 4 What is the hundred thousands digit of 121063? 1 What is the hundreds digit of 2588200? 2 What is the thousands digit of 258961? 8 What is the ten thousands digit of 2218698? 1 What is the tens digit of 20521369? 6 What is the ten thousands digit of 335972? 3 What is the millions digit of 4035604? 4 What is the units digit of 3910690? 0 What is the hundred thousands digit of 9189825? 1 What is the hundred thousands digit of 24505739? 5 What is the ten millions digit of 14348362? 1 What is the tens digit of 36379828? 2 What is the thousands digit of 16811? 6 What is the ten thousands digit of 5196874? 9 What is the units digit of 1113437? 7 What is the ten thousands digit of 50619? 5 What is the units digit of 16634317? 7 What is the units digit of 289985? 5 What is the hundreds digit of 2772641? 6 What is the ten thousands digit of 1090989? 9 What is the tens digit of 7483111? 1 What is the ten thousands digit of 80676? 8 What is the thousands digit of 165114? 5 What is the hundreds digit of 53383? 3 What is the units digit of 205978? 8 What is the hundreds digit of 8842362? 3 What is the hundreds digit of 196510? 5 What is the thousands digit of 23415679? 5 What is the thousands digit of 79573? 9 What is the tens digit of 396326? 2 What is the millions digit of 4531003? 4 What is the hundred thousands digit of 3353908? 3 What is the hundred thousands digit of 5769315? 7 What is the thousands digit of 33559863? 9 What is the tens digit of 1080499? 9 What is the hundreds digit of 223868? 8 What is the thousands digit of 291325? 1 What is the millions digit of 15450341? 5 What is the tens digit of 4257828? 2 What is the hundreds digit of 2190087? 0 What is the thousands digit of 580287? 0 What is the hundred thousands digit of 11716053? 7 What is the ten thousands digit of 21802025? 0 What is the hundred thousands digit of 684433? 6 What is the ten thousands digit of 223527? 2 What is the thousands digit of 7974724? 4 What is the thousands digit of 272897? 2 What is the thousands digit of 8378706? 8 What is the thousands digit of 2757958? 7 What is the millions digit of 1381810? 1 What is the ten thousands digit of 64219? 6 What is the thousands digit of 652335? 2 What is the hundred thousands digit of 569163? 5 What is the units digit of 335094? 4 What is the tens digit of 681170? 7 What is the ten thousands digit of 59499? 5 What is the hundred thousands digit of 303404? 3 What is the units digit of 10721919? 9 What is the tens digit of 397858? 5 What is the tens digit of 195586? 8 What is the thousands digit of 2161829? 1 What is the tens digit of 20901? 0 What is the tens digit of 7312328? 2 What is the tens digit of 12046993? 9 What is the millions digit of 7047270? 7 What is the hundreds digit of 880225? 2 What is the hundred thou
{ "pile_set_name": "DM Mathematics" }
60619/78. What is the common denominator of m and 45/91? 546 Suppose 0 = -2*o + 125 + 5. What is the lowest common multiple of o and 30? 390 Suppose 0 = 3*x - 16 - 32. Calculate the smallest common multiple of x and (-1 + 4 - -38) + -1. 80 Let c = -219/5 + 1963/60. Find the common denominator of -37/4 and c. 12 Let b = 10 - -2. Let j = 363/4 - 4127/44. What is the common denominator of j and 1 + 3/b*-206? 22 Suppose 2*o + 294 = 5*o. Suppose 4*q = o - 38. Calculate the lowest common multiple of 11 and q + -3 + 0 + -1. 11 What is the smallest common multiple of (1 - 2/(-4))*(-8)/(-6) and (6/(-10))/((-6)/30)? 6 Let u = 122 + -133. Calculate the least common multiple of u/22*(-1 + -17) and 0/(-2) + -1 + 8. 63 Suppose 0*x + 53877 = 3*x. Let f = x + -395173/22. Find the common denominator of ((-1)/(-12))/(1/71) and f. 132 What is the lowest common multiple of 318/66 + 1 - (-4)/22 and 6? 6 Let v = 63/311 - 35659/7153. Let k = v - -4688/759. Calculate the common denominator of 77/24 and k. 264 Let s = -209/2 + 643/6. Let n = -3089/6 + 513. Find the common denominator of n and s. 6 Let x be -3 + 9 - (-2)/4*-2. Suppose p - x*p - 10 = -3*m, -m = p - 15. What is the lowest common multiple of m and 14? 70 Find the common denominator of (229/45 + -5)*366/64 and 137/12. 120 Let b be ((-8)/2)/(48/(-36)). Calculate the lowest common multiple of 9 and (2 - b) + (-2 - -4). 9 Let c = 9932 + -1761. Let h = 65463/8 - c. Find the common denominator of h and -15/13. 104 Let c be 6/(-27) - (-59617)/7740. Let x = -171/20 + c. Let j = x - 247/774. Find the common denominator of j and -97/22. 198 Let h be 5 - 2 - (-2 - 1 - -1). Suppose 2*n - 4*k = 92, n - h*k + 10*k - 39 = 0. What is the lowest common multiple of 4 and n? 44 Let p(l) = -3*l**3 - 6*l**2 - l + 2. Calculate the smallest common multiple of p(-2) and 1690. 3380 Let n = -5704602084/791185 + -3/791185. Let a = n - -7150. Let k = 1852/35 + a. What is the common denominator of k and 113/10? 70 Let q(t) be the third derivative of -7*t**4/12 + 7*t**3/2 - 25*t**2. What is the lowest common multiple of q(-6) and 9? 315 Suppose -f + u + 8 = 0, 6*f - 36 = 2*f + 3*u. Let s be 6/(-8)*(-3)/((-18)/(-96)). What is the smallest common multiple of f and ((-3 + 0)/(-1))/(9/s)? 12 Let z = 96284468/3534491 + -2/121879. Let f = z + -22237/696. Find the common denominator of 7/8 and f. 24 Let o be 1 - 2 - (-2 + 1). Suppose o = -0*p + 4*p. Suppose 4 = 5*g - 3*q, g + 0*q - q = p. Calculate the least common multiple of 9 and g. 18 Let s be 3/(-5) + 5/(75/354). Let y(g) = g**3 - 23*g**2 + g - 22. What is the smallest common multiple of y(s) and 9? 9 Let j = -101431 - -12983103/128. Calculate the common denominator of 51/14 and j. 896 Let b = -6/7991 - -1047037/287676. Find the common denominator of -83/8 and b. 72 Find the common denominator of (1 - 113/(-36)) + 117/156 and (-72)/16*(-2)/5. 45 Calculate the common denominator of -2 + 4 + (-560)/440 and 103/232. 2552 Let g(l) = -590*l**2 - l - 1. Let x be g(2). Let q = -101656/43 - x. Let d = q + -4873/774. Calculate the common denominator of d and 93/22. 198 Find the common denominator of (-77)/(-98) + (-10)/(-2) and -61/12. 84 Suppose -55 = -2*d - 1. Suppose 2*k + 4*a = -d - 19, 2*k + 71 = a. What is the common denominator of -36/5 and k? 5 Let g = 44 + -32. Let v(q) = -4*q + 3. Let u(f) = 4*f - 4. Let t(d) = -5*u(d) - 6*v(d). What is the least common multiple of t(4) and g? 36 What is the common denominator of -65/6 and (558/891 + (-1 - -1))*3? 66 Suppose 0 = 2*x - b - 8, 2*b = -5*x - 2*b + 7. Suppose -u - v + x*v = -10, 2*u = -v. Calculate the least common multiple of (-4)/(-14) - 26/(-7) and u. 4 Let f = -30847/8 - -3851. Let h = -2797 - -123081/44. Find the common denominator of f and h. 88 Suppose 12*o - 15*o = -2733. Let f = 1909/2 - o. What is the common denominator of 89/54 and f? 54 Suppose -6*j - 12 = -0*j. Calculate the common denominator of 1017/108 - (2 + 0/j) and -13/33. 132 Let f(k) = -2*k**2 + 8*k - 6. Let t be f(4). Let q = -5 - t. Let r = q + 3. What is the least common multiple of 8 and r? 8 Let s = -9983/1615 + -6/323. Let j = -36 + 38. Find the common denominator of s and (-3 - 148/(-44))*(-3 + j). 55 Let b(a) = 29*a**2 - a - 6. What is the smallest common multiple of b(2) and 2? 108 Let l = -4984036519117/359999568 + -2/22499973. Let q = l + 13849. Calculate the common denominator of q and (-374)/119*(-10)/8. 112 Let c be 14*((-35)/(-10))/(-7). Find the common denominator of -37/24 and c/16 + (-45)/60. 48 Let d = 10 + -6. Calculate the common denominator of -53/12 and ((-177)/(-9))/(d/6). 12 Suppose -j = 3*l - 85, 4*j + 43 = l - 7. Calculate the smallest common multiple of 30 and l. 30 Let o(z) = -z**3 - z + 3. Let c be o(0). Let l be -6*1/c*4. Let f = l - -9. What is the smallest common multiple of f and 1? 1 Calculate the common denominator of 31/66 and (-1 + (-66)/(-108))*1179/(-42). 132 Let j = -254/93 - -1049/2325. Find the common denominator of -169/30 and j. 150 Let u = 22/85 - -83/34. What is the common denominator of 4/(-18) - 34/(-9) and u? 90 Let u = -10127779/18 + 561397. Let x = u + 1258. Find the common denominator of -61/24 and x. 72 What is the smallest common multiple of 176/(-352) - 45/(-2) and 840? 9240 Let t = 19 + -5. Let p = 35 - 33. What is the smallest common multiple of p and t? 14 Let v(s) = -s**3 + 3*s + 122. Calculate the smallest common multiple of v(0) and 16. 976 Let f = -3123/4 - -778. Let s = 723/2 + -404. Calculate the common denominator of f and s. 4 Suppose 2*p + 6 = 0, -6*f - 3 = -9*f + p. Calculate the common denominator of 107/10 and 3 + f + (-150)/44. 110 Let t be ((-11226)/8)/(2 - 128/52). Let h = -3032 + t. Find the common denominator of (-1 - 1) + 102/(-4) and h. 8 Let z = 28715 - 11514709/401. Let u = z + -27717/3208. Calculate the common denominator of u and (-2)/(-20)*-83*-1. 40 Let p = -1 + -4. What is the common denominator of 107/12 and (((-274)/(-40))/(-1))/(6/p)? 24 What is the lowest common multiple of 260/26 - 6/3 and 926? 3704 Let o = 2/225 + 311/450. Find the common denominator of (-172)/15 + 162/27 and o. 30 Find the common denominator of 167/60 and (1 + 0)/(15 - (8 + -5)). 60 Suppose 19 + 11 = -5*m. Let u be 64/(-6)*(m + 9). What is the common denominator of 3/4 + (-65)/u and 5/22? 352 Let w = 0 + 2. Let a be (-15)/6 + (-2)/4. Calculate the common denominator of (a/w)/(44/(-8)) and 21. 11 Let y = -319 - -323. Calculate the least common multiple of 68 and y. 68 Suppose 0 = 2*z - z - 4422. Let q = -35317/8 + z. Find the common denominator of q and 1/(-3)*36/60*-19. 40 Let s be 14833/(-5) - 18/(-30). Let i = -17749/6 - s. Let b = 2194 - 17527/8. Find the common denominator of b and i. 24 Suppose -3*z = -4*n + 12016, 5*n - 3*z + 3289 = 18309. Let j = 18071/6 - n. What is the common denominator of j and -45/14? 42 Let t = -1441/24 - -239/4. Find the common denominator of (16/(-22))/(-4) - 16800/2376 and t. 72 Let a = -769884 - -4135816835/5372. Let z = 223367/177276 + a. Find the common denominator of z and 37/14. 462 Let f = 15 - -30. Let g(q) = -q**3 - 2*q. What is the smallest common multiple of (-6)/f + 248/60 and g(-2)? 12 Suppose -144 = -4*w + 32. Suppose 25 = 3*h + m, 9*h = 4*h - 4*m + w. Calculate the least common multiple of 20 and h. 40 Let n = 10906/459 + -2576/27. Let w be 24/36 + (1 - (-66794)/816). Let o = w + n. What is the common denominator of 21/20 and o? 40 Let s = 89747 + -286921139/3197. Let z = 139791/370852 - s. Let g = 2119/464 + z. Find the common denominator of 151/6 and g. 48 Let p = 22 - 93/4. Let h = 1963/8 + -242. Calculate the common denominator of h and p. 8 Calculate the lowest common multiple of 85 and -1 - 3 - (-13)/((-156)/(-72)). 170 Suppose -3*u = 2*r - 45, r - 3*u - 21 - 24 = 0. What is the least common multiple of 24 and r? 120 Let x(a) be the second derivative of -a**3/2 - 9*a**2/2 + 13*a. Let r be x(-5). Suppose -10*j + r*j = -20. What is the least common multiple of j and 1? 5 What is the common denominator of 107/120 and 142088/(-15840) + 9 + (-1)/(-9)? 1320 Suppose m - 4*h - 25 = -0*m, -h - 97 = -3*m. Let j(o) = -o**3 - 10*o**2 - 28*o - 168. What is the least common multiple of m and j(-9)? 33 Suppose 6*p - 5000 = -4988. Let b(i) = 5*i**3 - 2*i**2 + 6*i - 6. Wha
{ "pile_set_name": "DM Mathematics" }
me factors of j? 2, 5 What are the prime factors of 1618/10 + 10/50? 2, 3 Suppose 60 = 4*b - 64. List the prime factors of b. 31 Let g = 23 - 7. Let v be (140/g)/((-1)/(-4)). Suppose 0 = -3*s - 2*s + v. What are the prime factors of s? 7 Suppose 5*l = -7 - 8. Suppose -3*q = q - 8. List the prime factors of (q - 22/6)*l. 5 Suppose 0 = 2*z - 3*m + 33 - 133, -m = 3*z - 150. What are the prime factors of z? 2, 5 What are the prime factors of 3/(-7) - (-345)/21? 2 Suppose 2*d - 12 = -0*b - 2*b, -5*d + 2*b = -30. Suppose 4 = -4*h + d*h. Suppose -h*r = -10 - 10. List the prime factors of r. 2, 5 Let r = -23 - -35. What are the prime factors of r? 2, 3 Suppose -2*d = -5*g + 85, 0 = -2*d - g - g - 106. Let f = d + 79. Suppose 2*c - 4*w = w - 17, -f = -c - 5*w. List the prime factors of c. 2 Suppose 0 = -3*z + 4*z - 4*g - 188, -20 = 5*g. What are the prime factors of z? 2, 43 Suppose 0 = -3*j - j + 48. Suppose -3*l - 3 = 3*q, 2*l = -2*l - j. Suppose 0 = -v + 4*h - q*h + 4, 4*v - 16 = 5*h. What are the prime factors of v? 2 Let y = -5 - -5. Suppose 0 = -y*d - 3*d. Suppose d = -3*w + 6*w - 6. What are the prime factors of w? 2 Suppose -3*m - 5*b + 37 = -6*m, 4*b = 5*m + 40. Let o(d) = -11*d - 4. What are the prime factors of o(m)? 2, 5 Let b = -6 - -8. Let r be 1 - 2/(b/(-1)). Suppose a + 1 = 2*v - 0, 0 = r*a + 3*v - 26. List the prime factors of a. 7 Let n = 6 + -26. What are the prime factors of 16/10 + (-8)/n? 2 Let b = -2 + 7. Suppose -y = -0*y - b. What are the prime factors of y/(5 + -2 + -2)? 5 Let p = 0 + 6. Suppose -54 = -5*m - 2*c, p*m + c - 42 = 2*m. List the prime factors of m. 2, 5 Let i(d) = 24*d**2 - 10*d - 1. What are the prime factors of i(3)? 5, 37 Let o(f) = -2*f**3 + 2*f**2 + 3*f + 3. What are the prime factors of o(-2)? 3, 7 Let k = -5 - -9. Suppose 159 - k = 5*o. Suppose -4*s + o = -17. What are the prime factors of s? 2, 3 Let g(y) = -y**2 + 7*y + 3. Let h be g(7). Let d(p) = p + 0*p + 5 - h. What are the prime factors of d(3)? 5 Let z be (2/4)/(1/2). Suppose r + 2*u + u = 13, 2*r - 3*u = -z. What are the prime factors of r? 2 Suppose 2*x = -3*w + 159, -36 = -w + 2*x + 3*x. List the prime factors of w. 3, 17 Suppose -3*d = -0*d - 6. Let x = 13 - 7. Suppose 3*r - h - 27 = 0, x*h - d*h = 5*r - 52. List the prime factors of r. 2 Suppose 0 = -5*a - c - 6, -2*a + 3*c = 5*c + 4. What are the prime factors of a/3 - (-64)/3? 3, 7 Let q be 2 - (-6 + 3 + 1). Suppose -q*a = -a - 51. What are the prime factors of a? 17 Suppose -k = -11 - 1. Suppose 9 = d + k. Let i = 4 - d. List the prime factors of i. 7 Let p(j) = j**2 - 6*j + 7. Suppose -2*l + 20 = 4*o, -o + 0*o + 3*l + 5 = 0. Let h be p(o). What are the prime factors of (-1)/((-5)/2 + h)? 2 Suppose -2*c - o = 2*o + 23, 4*c + 21 = -o. Let a be 0*(-2)/(-2 - c). Suppose -h - 2*h + 6 = a. List the prime factors of h. 2 Suppose 4*d + w = -76, 2*d + 3*w = -0*w - 28. Let i = d - -31. Let k = i - 0. What are the prime factors of k? 11 Let c be ((-26)/2 - 1) + -1. Let q = -11 - -7. Let l = q - c. List the prime factors of l. 11 Let p(f) = -f**2 + 8*f - 5. Suppose 0 = -2*z - 4*i + 6, 3*z + 2*z + 5*i = 20. List the prime factors of p(z). 2, 5 Let u(l) = l + 11. Let i be u(-8). Suppose a + 4*a = i*h - 2, -a + 3*h - 10 = 0. Suppose 5*r - 7 - 24 = 3*j, 25 = a*r + 3*j. List the prime factors of r. 2 Let y(g) = 15*g**2 + 6*g + 2. List the prime factors of y(-2). 2, 5 Let z = 23 + -17. List the prime factors of z. 2, 3 Let m be (-17)/(-2) - (-7)/(-14). Let t(x) = -3*x + 7. Let u be t(5). List the prime factors of 2/m + (-22)/u. 3 Suppose -5*c + 27 + 3 = 0. Suppose -d + o - c = 0, 0*d + 5*d + 33 = 2*o. List the prime factors of 2/d - 195/(-21). 3 Suppose -2*v + 21 = 5*x, -5*v - 11 = -3*x + 14. Suppose -x*w + 0*w = -30. What are the prime factors of (w/4)/(4/48)? 2, 3 Suppose 4*s - 6*a = -a - 20, -s - a - 14 = 0. Let d = s + 20. List the prime factors of d. 2, 5 Let n(z) = z**3 + 9*z**2 + z + 7. Let b be n(-9). List the prime factors of (1/(b/(-6)))/1. 3 What are the prime factors of 230/6 - (-5)/(-15)? 2, 19 Let y = -13 - -22. Suppose c = 6 - y. What are the prime factors of (-1)/((-10)/3 - c)? 3 Let m be 3/5 + (-18)/30. Suppose q - 5*g = 28, 5*q + 3*g - 56 = -m*g. What are the prime factors of q? 13 Suppose 0 = -4*x + 48 + 8. List the prime factors of x. 2, 7 Suppose -2*v = 4*z + 46, 0 = 5*z + v - 3*v + 44. List the prime factors of (-74)/z - 6/15. 7 Let j(b) = 9*b - 2. Suppose -i = v, -v + 4*v + 24 = 5*i. What are the prime factors of j(i)? 5 List the prime factors of (3 + 7 + -1)*12. 2, 3 Suppose -b + 327 = 3*w, 205 = 2*w - 0*w + 5*b. List the prime factors of w. 2, 5, 11 Suppose -2230 = -12*f - 310. What are the prime factors of f? 2, 5 Let j = -44 - -209. What are the prime factors of j? 3, 5, 11 Suppose 3*k = -k + 16. Let r be 22 - (-1)/((-2)/k). Suppose 4*d - 12 = r. List the prime factors of d. 2 Let w(d) = -1 + 4 + 5 - d**2 + d. List the prime factors of w(0). 2 Suppose 0 = -8*q + 5*q + 255. What are the prime factors of q? 5, 17 Let y = -9 - -13. Let a(j) = 2*j**2 + 3. Let t be a(y). Suppose -5*g + 0 = -t. List the prime factors of g. 7 List the prime factors of -4 + 5 + 1 + 2. 2 Suppose 27*j - 22*j - 1145 = 0. List the prime factors of j. 229 Let v be (24/(-18))/(4/(-6)). Suppose 5*h - 15 = -4*a + 16, 8 = v*a. What are the prime factors of h/(-2)*16/(-6)? 2 Let o = -15 + 12. Suppose 5*h - 5*a - 26 = 4*h, 0 = 3*h + 5*a + 2. List the prime factors of o + h - 4 - -10. 3 Let k(m) = -m**3 + 7*m**2 - 8*m + 9. Let l be k(6). Let y = l + 3. Let s = y - -3. What are the prime factors of s? 3 Suppose o = 3*o - 4. Let b be (64/5)/((-1)/(-5)). List the prime factors of (7/14)/(o/b). 2 Suppose -75 = -4*y + 5. What are the prime factors of y? 2, 5 Suppose 11*o - 15 = 8*o. List the prime factors of o. 5 Suppose -5*c = 187 - 687. List the prime factors of c. 2, 5 Suppose -h = -3*h + 2. Let w = h + 0. List the prime factors of w*-2*(-4)/2. 2 Suppose -5*a = -0*a - 565. What are the prime factors of a? 113 Suppose 3*t - 54 = 78. List the prime factors of t. 2, 11 Let b be 16/6*(-9)/(-6). Suppose -b*l + 5 = -139. What are the prime factors of l? 2, 3 Let m(h) = -2*h - 1 - 2 - 4. List the prime factors of m(-6). 5 Let q be -6*3*(-12)/27. Suppose -4*t = -0*t - q, v + 3*t - 38 = 0. List the prime factors of v. 2 Let p be (-6)/27 - 100/36. What are the prime factors of (-1)/(p + (-44)/(-15))? 3, 5 Suppose 2*y + 2*y = 0. Suppose 13 = f - y*f. What are the prime factors of f? 13 Let m(g) = -2*g**3 - 2*g**2 - 4*g - 2. Let l be m(-3). Suppose 5*v = w - 47, 4*v - 4*w = w - l. What are the prime factors of (2 - v/(-6))*18? 3 Suppose 0 + 12 = 2*w. List the prime factors of w. 2, 3 Let t(a) be the third derivative of a**6/12 - a**3/6 - 2*a**2. List the prime factors of t(1). 3 Let v = 45 + -123. Let c = v - -110. What are the prime factors of c? 2 Suppose 5*o - 533 - 192 = 0. What are the prime factors of o? 5, 29 Let l(h) = 2*h + 22. What are the prime factors of l(-10)? 2 Let w = 75 + 129. List the prime factors of w/42 + (-1)/(-7). 5 Let d(t) = -2*t + 2. Let f be d(-2). Let y = f + -6. Suppose y = -3*p + 2*p + 12. List the prime factors of p. 2, 3 Let p(k) = 48*k**2. Suppose -h - 9 = -0*o + 5*o, 0 = -3*o + h + 1. What are the prime factors of p(o)? 2, 3 Suppose o + 3*o + 49 = t, -2*o - 173 = -5*t. Let j(z) = z - 2. Let n be j(4). Suppose n*g - t = -g. List the prime factors of g. 11 Suppose 0*d + f = 3*d + 2, 2*d = -3*f + 6. Suppose l + 0*l - 8 = d. Let o(n) = n - 1. What are the prime factors of o(l)? 7 Suppose 2*x = -2*g + 5*g - 12, 0 = 2*x - 5*g + 20. Suppose z - 10 + 2 = x. What are the prime factors of z? 2 Let s = 208 + -87. List the prime factors of s. 11 Suppose m - 3*d - 2*d - 261 = 0, 0 = -2*m + 5*d + 542. What are the prime factors of m? 281 Suppose 3*p - 132 = -p. Suppose -5*x - p = -2*a - 0*a, a + 5*x - 39 = 0. List the prime factors of a. 2, 3 Suppose 4*f = -3*c + 24, -12 = -5*c + 5*f + 28. List the prime factors of ((-18)/c)/((-9)/144). 2, 3 Let t = -6 + 4. Let l be 1 + (t + 1)*-1. Suppose 0 = r - 5 + l. List the prime factors of r. 3 Let k(r) = r**3 + 3*r**2 + r. Let a be k(-2). Suppose -98 = -a*t - 6. What are the prime factors of t? 2, 23 List the prime factors of ((-3)/2)/((-5)/110). 3, 11 What are the
{ "pile_set_name": "DM Mathematics" }
43 = 6796*w - 903101 for w. 150 Solve -558*m - 32105 = -857 for m. -56 Solve -212*o - 320*o + 134*o + 10746 = 0 for o. 27 Solve -1928*b - 886*b + 34740 = 464*b - 4596 for b. 12 Solve 551*x = 2821*x - 165710 for x. 73 Solve 15410*h - 784*h = -410*h + 150360 for h. 10 Solve -924*c + 25827 = -7560 - 2249 - 29968 for c. 71 Solve 9*c - 3*c + 20*c - 4*c = -2508 for c. -114 Solve 42*b + 28 = -1106 for b. -27 Solve 564*q + 568*q + 539*q + 217 = 1702*q for q. 7 Solve -578*m + 89 = -296*m - 269*m - 249 for m. 26 Solve -308*f - 247*f + 9*f - 672*f + 24360 = 0 for f. 20 Solve -200051 = 5322*g + 124591 for g. -61 Solve 1373 = -459*f + 1221*f - 37489 for f. 51 Solve -3349*c + 92439 = -188877 for c. 84 Solve 261*t + 40672 = -1155*t + 15867 - 53075 for t. -55 Solve -388*w = -43*w + 10057 - 42832 for w. 95 Solve 26*w - 84 - 753 = 43 + 602 for w. 57 Solve -447*z + 1728*z + 61959 = -18744 for z. -63 Solve -27*p - 46430 = -47753 for p. 49 Solve -89*q + 965*q = -239*q - 133*q + 22464 for q. 18 Solve 1499*b + 63427 = 4797*b - 140527 - 3820 for b. 63 Solve -227560 = -3709*u - 64364 for u. 44 Solve 18*x - 6*x + 20*x = -104*x + 1088 for x. 8 Solve 370146*g - 80190 = 369255*g for g. 90 Solve 7*g + 22*g + 2124 = 15*g - 222*g for g. -9 Solve -680*n + 1443*n + 210 = 636*n - 4108 for n. -34 Solve 156043 + 33620 + 77101 = -3923*q for q. -68 Solve 935*l - 330578 = 157*l - 4156*l for l. 67 Solve 7685*v - 4011 = 7514*v + 1974 for v. 35 Solve 158*a - 233 = -175*a + 100*a for a. 1 Solve 0 = -1168*a + 1349*a + 9412 for a. -52 Solve 31629*u = 63114*u - 31638*u for u. 0 Solve -45*c + 466196 = 466421 for c. -5 Solve 6173*y = 90551 + 59261 + 109454 for y. 42 Solve 5368*m + 53513 + 166575 = 0 for m. -41 Solve -3193*k - 1664*k - 84218 = 97*k for k. -17 Solve -12160 + 2584 = 96*n + 3288 for n. -134 Solve 969*j = 486*j + 458*j + 2500 for j. 100 Solve 1486*z - 979*z + 1514*z = -137428 for z. -68 Solve -396*d - 4322 + 4262 = -393*d for d. -20 Solve -8989*f + 503088 - 148081 = -363492 - 665807 for f. 154 Solve -13*t - 227*t = 334*t + 53*t - 12540 for t. 20 Solve -18324*y - 31096 = -15932*y for y. -13 Solve -1727*a = -1603*a + 5208 for a. -42 Solve 36671*t - 39066*t - 21555 = 0 for t. -9 Solve -884*b + 69 = 720*b - 1351*b - 15364 for b. 61 Solve -1505*c + 47474 - 6389 = -122960 for c. 109 Solve 51*d + 7686 = -49*d - 83*d for d. -42 Solve 26*z + 103*z + 315 + 415 = 56*z for z. -10 Solve -23366*k = -23649*k + 8207 for k. 29 Solve -132*y = -65*y - 745 + 5770 for y. -75 Solve 316*l - 158 = 1422 for l. 5 Solve 0 = -178*t - 150*t + 286*t - 546 for t. -13 Solve -5233 - 1730 = -290*q + 867 for q. 27 Solve -24*z + 549 + 16 + 923 = 0 for z. 62 Solve -2297 + 137 = 98*i - 102 for i. -21 Solve 3087*z - 38055 - 160814 = 981*z - 32495 for z. 79 Solve -34*o - 21898 + 3150 = 122*o + 62*o for o. -86 Solve -1538*s - 3915*s - 94*s - 229568 = 1205*s for s. -34 Solve 7792*r + 4683*r - 638850 = 3957*r for r. 75 Solve 1191 = -209*k + 965 - 2700 for k. -14 Solve 0 = 85*i + 148*i - 3885 - 6600 for i. 45 Solve 2545*t - 3277*t - 72468 = 0 for t. -99 Solve -714*v - 8829 = 267*v for v. -9 Solve 4933526*o - 4933458*o = 6528 for o. 96 Solve -52060 = 462*b - 33*b + 373*b + 568*b for b. -38 Solve -734*d - 421*d - 928*d + 267*d = 92616 for d. -51 Solve 52189 = -1136*q + 10429 + 12781 - 65309 for q. -83 Solve -68*x - 444 + 630 + 181 + 1945 = 0 for x. 34 Solve -20*d - 196*d + 604*d = -110*d + 3984 for d. 8 Solve -2692*f + 30*f + 26620 = 0 for f. 10 Solve -19*v - 8374 = 108*v + 99*v - 25776 for v. 77 Solve -24990*u + 6084 = -25107*u for u. -52 Solve -113803*f + 113352*f = 19844 for f. -44 Solve -384*f - 358*f + 244*f = 1663*f - 105889 for f. 49 Solve -352*s + 14757 - 325 = 0 for s. 41 Solve 623 + 5158 = 123*t for t. 47 Solve 0 = 1941*c - 2020*c - 1343 for c. -17 Solve -1119*a = -198*a + 12552*a + 757*a + 967640 for a. -68 Solve -303*t + 39*t - 13340 = 52*t + 29320 for t. -135 Solve -393*l - 21183 = -35*l + 10321 for l. -88 Solve 226464 - 229017 = 111*p for p. -23 Solve 22*v - 543 = -7*v - 1210 for v. -23 Solve 148*w = 1630 + 886 for w. 17 Solve -11410*q = 281915 - 1046385 for q. 67 Solve -208*z + 34*z - 21844 = -2*z for z. -127 Solve 1083*b - 1692*b + 911*b = 1208 for b. 4 Solve -2191*y - 420 = 12726 for y. -6 Solve -53*c - 3 = -83*c - 273 for c. -9 Solve -386*q - 156*q = -27*q + 3605 for q. -7 Solve -75564 + 68268 = -114*t for t. 64 Solve -1185*y + 1467 - 27 = -1065*y for y. 12 Solve 440*s - 16241 = -186*s - 406*s + 6463 for s. 22 Solve 1587*a + 203 - 6327 = -33103 for a. -17 Solve 935*f - 5757 - 788 = 0 for f. 7 Solve 643*g + 563*g + 591*g = 1960*g - 4890 for g. 30 Solve -4190*r + 17952 = 2007*r - 1530 - 17700 for r. 6 Solve 609*r + 33323 = -2250*r - 985 for r. -12 Solve -21*p = 7*p + 261 + 663 for p. -33 Solve -5445 = -1846*s + 2061*s + 2295 for s. -36 Solve 5135 + 9611 + 3304 = -1805*k for k. -10 Solve -308*k = 172*k - 93*k - 18*k - 35793 for k. 97 Solve -24840*h - 647873 = -29569*h for h. 137 Solve 1202*v = 6666 + 22173 + 13231 for v. 35 Solve 242*c - 11041 = -514*c + 7103 for c. 24 Solve -19*l - 1598 - 183 = -301*l + 2167 for l. 14 Solve -581*s = 281*s + 453*s - 32875 for s. 25 Solve 73722 = -338*z - 302*z - 476*z - 44574 for z. -106 Solve 43798*f - 43685*f = 901 + 8817 for f. 86 Solve 4312 = 71*n - 463*n for n. -11 Solve 22*y + 15*y - 29 + 251 = 0 for y. -6 Solve 19929*b = 5236*b - 238205 + 1252022 for b. 69 Solve 3716*p = 2688*p - 15420 for p. -15 Solve 51*w + 257 - 77 - 631 = 416 for w. 17 Solve 12168*a - 385 = 12245*a for a. -5 Solve -266*a = -473*a - 8694 for a. -42 Solve 30 + 2076 = -117*v for v. -18 Solve -430*l + 7732 + 8143 = 4010 - 12645 for l. 57 Solve 3467 + 2237 = 636*u + 1152 - 8168 for u. 20 Solve -330*g + 26955 = -375*g - 476*g + 6115 for g. -40 Solve -290*b + 841 = 261 for b. 2 Solve -869*t + 5085 + 22759 = 2018 - 2851 for t. 33 Solve -29731 = -1146*h + 1749 - 834 + 6026 for h. 32 Solve 9077*q - 76614 - 376916 = 831*q for q. 55 Solve -34*a + 69*a - 50*a + 1099 + 281 = 0 for a. 92 Solve -21101 = 3128*o + 5901 + 7406 for o. -11 Solve -604*q + 2299 + 2513 = -419*q - 2773 for q. 41 Solve 0 = -595*d - 321857 + 297462 for d. -41 Solve 15*r + 3 = 556 + 392 for r. 63 Solve 0 = -248*a + 4861 + 6897 - 4318 for a. 30 Solve -1449*t - 24437 = 1140*t + 14575 + 28302 for t. -26 Solve 0 = -976*v - 402*v - 10244 - 9048 for v. -14 Solve 0 = 1499*k - 712*k + 19675 for k. -25 Solve -502*a + 2695 = -2325 for a. 10 Solve -434*m - 1337*m + 67298 = 0 for m. 38 Solve 30989 - 31601 = 12*v for v. -51 Solve 474*m + 826*m = 38608 + 21947 + 9645 for m. 54 Solve -515229*k = -517356*k - 97842 for k. -46 Solve 11641*k = 23255*k - 11637*k + 207 for k. 9 Solve 62*l + l - 94 - 151 = 952 for l. 19 Solve -135*k + 14436945 = 14434920 for k. 15 Solve 44*z - 89*z + 204*z = -6996 for z. -44 Solve 248*s + 335*s + 472 = -16*s + 127*s for s. -1 Solve 5839*n + 190101 + 17001 = -14780 for n. -38 Solve 6703 = -3189*f + 35404 for f. 9 Solve -2685*k = 299*k - 459*k + 371175 for k. -147 Solve 176*v - 35659 = -23867 for v. 67 Solve -86*v + 23*v = -101*v - 124*v + 16362 for v. 101 Solve 1389*p = -659 - 4897 for p. -4 Solve -44*o + 65 - 35 + 1506 = -12*o for o. 48 Solve -172*q + 1887 = -5165 for q. 41 Solve 0 = -1811*q + 642*q + 11734 + 19341 - 3019 for q. 24 Solve -869*m + 2609*m - 1500 = 1032*m + 1008*m for m. -5 Solve -1884043 = 212*o - 1910967 for o. 127 Solve -11063 = 4353*d + 3066 + 33392 + 148364 for d. -45 Solve -817 = -9873*c + 9830*c for c. 19 Solve -70*f + 96 + 810 = -4148 - 126 for f. 74 Solve -370*u + 142*u - 147*u = -9750 for u. 26 Solve -4629 + 98 - 12076 = 228*n - 3383 for n. -58 Solve 22*n - 74*n = 172*n - 3808 for n. 17 Solve 169*c = 1786*c - 14553 for c. 9 Solve -550*g + 1226*g = 623*g - 159 for g. -3 Solve -j + 977 = 122*j + 2865 + 4508 for j. -52 Solve 300*s + 650*s + 364*s = -15768 for s. -12 Solve 100*u + 79*u + 12214 = -7*u - 11*u for u. -62 Solve 199640 = -4991*x + 1771*x for x. -62 Solve -1835*i - 54436 = 174939 for i. -125 Solve -301263 = -39*w - 301419 for w. -4 Solve -642*c - 641*c - 5849 = -1174*c + 1781 for c. -70 Solve 123*j + 17204 = 128*j - 258*j for j. -68 Solve 15*j + 5167 + 5136 = 10333 for j. 2 Solve -94386 + 94513 = a for a. 127 Solve -1204*z - 86014 + 17842 - 16151 = -3483*z for z. 37 Solve -3332 - 11862 = 798*o +
{ "pile_set_name": "DM Mathematics" }
of w and y. 35 Let l(d) = -2*d**2 + 14*d - 1. Let y be l(7). Let h be (y + 33)*((-10)/(-8))/1. What is the highest common factor of h and 4? 4 Suppose 2*a - 55 = -d, a - 109 = -2*d - 4*a. Let i be 24 + (2 - 4) + -3. Calculate the greatest common divisor of d and i. 19 Suppose 3 = -y - 4*y - 3*g, -2 = -2*y + 2*g. Suppose y = 2*f - 222 + 114. Let x be (1*-1 - -2)*9. What is the greatest common divisor of x and f? 9 Suppose 75 = 2*g + 3*w, -5*g - 5*w + 56 = -144. What is the greatest common factor of 855 and g? 45 Let l = 4 - -7. Let c = l + -10. Suppose -11*u + 8*u = -15. What is the greatest common factor of c and u? 1 Let h be 8/(-12) + 17/3. Suppose 0 = -h*v - 2*k + 89, 5*k = -5*v + k + 83. Calculate the highest common divisor of v and 57. 19 Suppose -3*b = 67 + 8. Let j = -51 - b. Let l = 32 + j. Calculate the highest common factor of l and 6. 6 Let o be (3 - 2)/((-1)/(-60)). Let p = 389 + -353. What is the greatest common factor of o and p? 12 Let x be -10 - -6 - -89*2. Let z = -49 + x. Calculate the highest common factor of 50 and z. 25 Suppose -34*d + 2840 = -29*d. Suppose -4*i - 247 = -u, -3*u + 5*i + 194 = -d. Calculate the highest common divisor of u and 37. 37 Let y(d) = -3*d - 17. Let b be y(-7). Suppose -b*q - q + 50 = 0. Let n be 4*q + -17 + 13. What is the greatest common divisor of n and 12? 12 Let a be ((-5)/4)/((-4)/48). Suppose a = 6*l - 27. Calculate the greatest common factor of l and 21. 7 Let v = -89 + 133. Suppose -3*z = -7*z + v. What is the greatest common divisor of 11 and z? 11 Suppose -2*x - 10 = -4*x. Let a be (6/(-4))/((-24)/144). Suppose a = f - 2*n - 21, 2*n = x*f - 110. What is the greatest common divisor of 10 and f? 10 Suppose p = -5*r + 422, -r + 2*p + 164 = r. Let l be 16/28*(-7)/(-2). Suppose -g - 21 = -l*g. What is the highest common factor of r and g? 21 Let k be 144/(-168) + (-258)/(-7). Calculate the greatest common factor of 1098 and k. 18 Let h be (1 - -2) + 106/2. Let k be 7*(12/7 + (-2 - -2)). Suppose 3*r = -5*g + 47, 0*r + k = 3*r. What is the greatest common factor of h and g? 7 Let z = 19 - 19. Suppose z = -3*m - 10 + 43. Calculate the highest common divisor of m and 33. 11 Let s = 30 - 6. Suppose l + 4 = -5. Let p(c) = -6*c + 6. Let z be p(l). What is the highest common factor of z and s? 12 Suppose 0 = -2*k - 4, k - 172 = -5*f - 3*k. Calculate the greatest common factor of f and 9. 9 Suppose -4*g + 294 = 70. Let i be 54/((g/(-12))/(-7)). Calculate the highest common factor of i and 9. 9 Let j(s) = -38*s - 515. Let t be j(-22). Calculate the greatest common divisor of 749 and t. 107 Let a(w) = -w**3 + 16*w**2 - 20*w + 83. Let v be a(15). Let n = 66 + -46. Calculate the greatest common divisor of n and v. 4 Suppose -250 = -5*m + 80. Suppose 0 = 3*n - 594 - m. Let q be n - -2*(-4 - -2). What is the highest common divisor of 24 and q? 24 Let p(s) = 3*s**2 + 4*s - 3. Let q be p(-3). Calculate the highest common divisor of q and 15. 3 Let b = 10 - 13. Let q(t) = 4*t**2 - 11*t + 3. Let p be q(b). What is the highest common divisor of p and 18? 18 Let i = 2 + 8. Let f be i*5 - ((-120)/(-6))/5. Calculate the highest common divisor of 92 and f. 46 Let c = -9 + 4. Let f be (c/2)/((-4)/24). Let n = -39 + 174. Calculate the highest common divisor of n and f. 15 Let y(n) = 4*n + 3*n + 1 - 7*n**2 - 9*n**3 + 8*n**3. Let j be y(-8). Suppose -303 = -5*q + 3*a, a - 7 + 3 = 0. Calculate the greatest common divisor of j and q. 9 Let a = -3 - -14. Suppose 7*v = a*v - 48. Suppose -3*b + 288 = -0*b. What is the highest common factor of b and v? 12 Let o be (6 + -3)*((-70)/(-15) - -5). What is the highest common divisor of o and 1363? 29 Let c(a) = a**3 - 12*a**2 + 25*a + 6. Let q be c(10). Calculate the greatest common divisor of 12 and q. 4 Suppose -479 = -43*v + 682. Calculate the highest common factor of v and 1161. 27 Suppose -14*d + 7 = -147. What is the greatest common divisor of 11 and d? 11 Let v be -3 - 1 - (8*-13)/2. Calculate the highest common divisor of 304 and v. 16 Suppose 0 = 52*o - 38*o - 560. Let x(j) = -2*j + 5. Let g be x(-5). Let i = g - 5. What is the highest common divisor of o and i? 10 Let i(f) = -44*f**3 + f**2 - 2*f - 2. Let k be i(-1). Calculate the highest common factor of k and 30. 15 Let x be (-35)/(-2)*(1 - 3 - -4). Calculate the highest common factor of 15 and x. 5 Let s(v) = 4*v + 356. Let d be s(-11). What is the highest common divisor of 195 and d? 39 Let t be 84 + 10 + 5 + -9. What is the highest common factor of t and 135? 45 Suppose 4*n = 1725 + 1103. Calculate the highest common divisor of 14 and n. 7 Let g be 2526/21 - (-8)/(-28). Suppose 0 = -10*q + 5*q + g. What is the greatest common divisor of q and 48? 24 Let t be (-2)/12 - 26071/(-186) - 5. Calculate the highest common divisor of 20 and t. 5 Let c(y) = -y**3 - 5*y**2 - 3*y - 3. Let d be c(-5). Suppose 765 + 6075 = 140*a - 26*a. What is the highest common factor of a and d? 12 Let w = -10 - -12. Suppose 3*o = -w*o. Suppose 4*d - f - 29 = -o*d, 0 = -4*f + 12. Calculate the greatest common divisor of 4 and d. 4 Suppose -174 = 5*i - 2*o, i - 3*o = -6*o - 45. Let q = 96 + i. Let p be (4 - 6)/((-2)/q). Calculate the greatest common factor of p and 12. 12 Let l be (96/9)/(13/78). Calculate the highest common factor of l and 6. 2 Let d(k) = 9*k - 23. Let u be d(5). Suppose -3*r - 2*w + 34 = 0, 0 = 3*r + 4*w + w - u. What is the highest common divisor of 98 and r? 14 Let a be (-47470)/(-423) - 4/18. Calculate the greatest common divisor of a and 42. 14 Let c be 4/18 - 60/(-108)*5. Let n = -11 + 16. Let u(x) = x**3 - 5*x**2 + 6*x - 6. Let w be u(n). What is the highest common divisor of c and w? 3 Let a be 22/77 + 380/(-7). Let h = a + 131. What is the highest common factor of h and 11? 11 Let g = -81 - -145. Let v = 199 - g. Let z(n) = 2*n**2 - 8*n + 5. Let t be z(5). Calculate the greatest common divisor of v and t. 15 Let r be 40/12 - 3 - (-24)/9. Calculate the greatest common factor of r and 303. 3 Suppose -10*k + 30 = -30. Suppose 0 = -0*i + k*i - 54. What is the greatest common factor of i and 72? 9 Let k be 102/10 - (-4)/(-20). Let f = 29 + -35. Let p(x) = -4*x + 6. Let o be p(f). What is the highest common divisor of k and o? 10 Suppose 3 = -3*t, 0 = -2*w + t + 4*t + 17. Suppose -3*s = 0, -4*d + 41 + 19 = -s. Let l = d + -6. Calculate the greatest common divisor of w and l. 3 Suppose 6 = 19*r - 13*r. Calculate the highest common divisor of 127 and r. 1 Let l = -402 - -633. What is the highest common divisor of l and 33? 33 Suppose 3*d - l = d + 81, 141 = 3*d + 5*l. Suppose 0 = 4*o - 8, 0 = 4*h + 3*o - 20 - d. Suppose 111 = k - 1. What is the greatest common factor of k and h? 14 Let v be -4*((-3)/(-6))/((-2)/22). Suppose 0 = -5*l - 0*l + 3*m + 180, 0 = -4*l - 2*m + 122. What is the greatest common factor of v and l? 11 Let c(i) = 2*i**2 + i + 5. Let t be c(5). Let p(h) = -h**2 + 13*h - 21. Let w be p(9). Calculate the greatest common divisor of w and t. 15 Let q = -93 - -129. Let w be 292/q - 6 - (-1)/(-9). Calculate the highest common divisor of w and 14. 2 Let b(k) = -2*k**2 + 12*k + 7. Let w be b(6). What is the greatest common factor of 42 and w? 7 Let p be (132/(-77))/(9/(-210)). Calculate the highest common factor of 360 and p. 40 Suppose -153 = 6*r - 393. What is the greatest common divisor of r and 16? 8 Let h(n) = -2*n + 27. Let t be h(11). Suppose -3*z + 858 = z - 3*y, t*z - 1076 = 2*y. Calculate the highest common divisor of 24 and z. 24 Suppose -15*r + 10*r - 430 = 0. Let m = -74 - r. What is the greatest common factor of m and 36? 12 Suppose -37*d + 108*d - 1704 = 0. What is the highest common factor of d and 224? 8 Suppose -223 = -5*h + 4*t, -4*h - t + 183 = -8. Calculate the highest common divisor of h and 3149. 47 Let f be (15/10)/((-2)/(-4)). Suppose -f*c - 72 = -2*v, 0 = v - 0*v - 4*c - 26. What is the greatest common divisor of v and 210? 42 Suppose 7*q + 3*q - 410 = 0. Let n = q + -36. What is the greatest common factor of 20 and n? 5 Suppose -66*p - 350 = -1340. Calculate the greatest common divisor of 120 and p. 15 Suppose -2*h - 3*v = -3*h - 4, -3*v + 9 = 0. Suppose -g = h*u - 218, -5*g = -g - u - 788. Calculate the highest common factor of g and 18. 18 Suppose 38 + 51 = q + v, 4*q = -5*v + 354.
{ "pile_set_name": "DM Mathematics" }
= -0*f - i*x + 8, 5*x + 20 = 5*f. What is the biggest value in -1, f, 0.2? f Let r be ((1 + 2)/(-3))/(1 - 0). Let z be 7/(147/24) + r + -1. Which is the second biggest value? (a) 2 (b) z (c) 2/9 (d) -2/3 c Let o = -0.227 + 22.227. Which is the smallest value? (a) 2/3 (b) 1 (c) o a Let m = 221402.93 - 222688. Let q = m - -1270. Let k = q - -15. What is the third smallest value in -0.4, k, 1/7? 1/7 Let m = 1783 + -1701. Which is the third smallest value? (a) m (b) 2/15 (c) 0.1 a Suppose -3*j + 8 = -1. Suppose 0*c + j = c. Let x be 5 + 5/((-50)/48). What is the smallest value in c, x, -5? -5 Let f be (-26)/(-10) - (-5 - 1)/(-2). Let q = -493 - -491. What is the biggest value in f, 0.3, 1, q? 1 Let v = -8 + 12. Let n = v - 12. Let b = -7 - n. What is the smallest value in 1/3, b, -1/3? -1/3 Let l be (-4)/(84/(-15))*(-24)/(-15). What is the biggest value in -0.5, 2, 5, l? 5 Let i = 0.031 - 0.531. Suppose -3*s = -2*l - 6, 2*l = -3*l + 3*s + 3. Suppose l*v - 8 = -3*x + 4*v, 0 = x + 5*v - 8. What is the biggest value in x, i, 1/5? x Let w = -0.51 + 96.51. Let h = w + -95. What is the fourth biggest value in 0, h, -1, -1/4? -1 Let l be (-5 - 21)/2*18/8. Let h = -28 - l. Let x = 1.95 + 0.05. Which is the third smallest value? (a) x (b) 0.3 (c) h a Suppose -101*y - 314 = 191. What is the smallest value in 94, -1, y? y Let m = 1.41 + -0.11. Suppose 10*u = 19*u - 18. Which is the third biggest value? (a) -2 (b) u (c) m a Let n = -0.2566 + 2.2566. Let q = 0 - -5. Which is the biggest value? (a) -2 (b) n (c) q c Let i = 22.6 + -24. Let g = 1.9 + i. Which is the third smallest value? (a) -1 (b) 9 (c) g b Let v = 53 - 51.95. Let y = v - -0.95. What is the third biggest value in y, -4, 0.4, -0.4? -0.4 Let h = -22 + 34. Let q = 14.9 + 105.1. Let u = -120.4 + q. Which is the third biggest value? (a) u (b) h (c) -2/11 a Suppose -4*y + 5*y = x - 8, -5*y = 15. Let r = 60 - 61. Let m = 0.1 + 0. Which is the biggest value? (a) m (b) x (c) r b Let r = 90/2161 - 504836/1432743. Let o = -8/51 - r. Which is the biggest value? (a) 12 (b) o (c) -5 a Let z = 4.45 + -4.85. Let s(b) = b - 15. Let y be s(11). What is the biggest value in y, z, -2/13, 0? 0 Let x = 3 - 3. Let m be (x + -3)/(9/(-2)). Let r = 1.046 + -1.076. What is the third smallest value in r, m, -5/3? m Let m be -36 + 30 - (-1 - 26/5). Which is the third smallest value? (a) 1 (b) m (c) -0.17 a Let n = -2 - 3. Let p(s) = -s**2 - 8*s - 9. Let j be p(-5). Let v be 6/27*j/8. What is the second smallest value in v, n, -1/4? -1/4 Let m = -65.3 + 69.3. Which is the smallest value? (a) m (b) 45 (c) -1 c Let j be 23/5 - 2/(-5). Let q = 22/21 - 173/105. Which is the second smallest value? (a) q (b) -0.3 (c) j b Let b = 1.7 - -6.5. Let z = 3 + -11. Let o = b + z. What is the smallest value in o, -1/6, -1/4? -1/4 Let n = 20/33 - 3/11. Let q = 76 + -75.6. Which is the second biggest value? (a) q (b) -18 (c) n c Let k = -0.19 - 2.61. Let q = k - -3. Let x = 2.5 + -2. Which is the second biggest value? (a) q (b) 5 (c) x c Let h = -2.11 - 0.09. Let s = 2 + h. Let x = -96 - -96.2. Which is the second smallest value? (a) x (b) -13 (c) s c Let d be (4/6)/(9/(135/2)). Suppose -4*k = 3*u + 23, 3*k = -d*u - 22 + 2. What is the second biggest value in u, -2/19, -0.3? -0.3 Suppose -4*c - 2 = -2*x, 21*x - 16*x + 10 = -5*c. Let i = -0.14 - -0.44. What is the third biggest value in i, 0.11, x? x Let r = -22 + 27. Let g = -222 - -226. Which is the fourth smallest value? (a) r (b) 1/3 (c) g (d) -3/7 a Let b = -12.64 + 37.83. Let a = b - 25. Let g = -5.19 + a. What is the second smallest value in 3, 0.4, g? 0.4 Let z = 1291.5 - 1291. Which is the second smallest value? (a) -5 (b) 1 (c) z (d) -0.5 d Suppose 6*f = f. Let l = 297 - 293. Let h be ((-15)/(-10))/(6/20). What is the smallest value in h, f, l? f Let u be 42/90*-6*(-4)/14. Let n = -0.8 + 1.8. Which is the second biggest value? (a) u (b) -1/9 (c) n (d) 0.3 a Let w be (2/(-24))/((-248)/16 - -5). Let m = w - -3/14. Which is the third biggest value? (a) m (b) -5 (c) 5 (d) 0.1 d Let v be -3 + (-9442)/(-1230) + -4. Let q = v - 2/205. Which is the third smallest value? (a) -0.4 (b) -0.1 (c) q c Let g = -1.5 - -98.5. Let k = 96.9 - g. Which is the second smallest value? (a) k (b) 3 (c) -2 (d) 1/4 a Let z = 2 - 1. Let h = -211 + 1895/9. Let l = -13.5 - -14. What is the second smallest value in l, h, z? l Let b = -97.5 - -87. Let h = b - -11. What is the second biggest value in -1/8, 2/13, h? 2/13 Let z = 0.125 + -80.625. Let p = z - -81. Let t = -13 - -18. Which is the second smallest value? (a) p (b) -5 (c) t a Suppose 3 = -2*i + 1. Let m = 14.4 - 14. Let x = -0.1 - m. What is the third biggest value in i, x, 2? i Let i be ((-12)/(-14))/((-423)/658). Which is the second biggest value? (a) -9 (b) i (c) -0.2 b Let r = 59 - 52. Let q be (2/4)/((-8)/(-6)). What is the biggest value in -4, q, r? r Let w = -21 + 25.6. Let u = -0.8 + w. Let z = u + -4. What is the biggest value in 0.3, z, 0.4? 0.4 Let j = -95.902 - -96. Let w = 0.302 + j. Which is the third biggest value? (a) 3/4 (b) w (c) 1.8 b Suppose 0 = 4*n - 0*s - 3*s - 17, 4*n + 4*s = 24. Suppose 0 + 2 = -3*u - k, 8 = -2*u + k. Which is the third biggest value? (a) -2/9 (b) u (c) n b Let i = -74.1 - -72. Let t = -6.1 - i. What is the third biggest value in t, -0.1, -3/8, -6? t Let h be (-3)/2 + 1 - -1. Let i = 7.164 + 0.036. Let y = -7 + i. Which is the second biggest value? (a) -0.3 (b) y (c) h b Suppose -4*s = h + 2*h - 8, 0 = 3*s + 3. Let d(u) = u**3 - 3*u - 4. Let q be d(3). Let v be (-4)/q + 38/84. Which is the biggest value? (a) h (b) v (c) -3/2 a Let t be 4/(-18) + 1/(-9). Let o = -1 + -1. Let f = o - -7. What is the third smallest value in f, t, -4? f Let w = 3.052 - 3. Let r = 0.048 + w. Which is the second smallest value? (a) 0.5 (b) r (c) -8 b Let y(g) = g - 4. Suppose 2*l + 2*f = 6, -2*l = -f + 5*f - 12. Let z be y(l). Which is the second smallest value? (a) -2 (b) 2/9 (c) z (d) 0.2 a Suppose 4*z = -8*r + 4*r + 36, 5*z = 5*r + 95. Let o be 98/(-176) + z/77. Which is the second biggest value? (a) 1/7 (b) -0.3 (c) o b Let w = 0.06 + 1.24. Let p = -41 + 47.3. Let m = p - w. Which is the smallest value? (a) -3 (b) m (c) 2 a Let k = -47/4 - -45/4. What is the second smallest value in 1/17, 2, -5, k? k Let s = -1774 - -1772. What is the third biggest value in -1/3, -1/395, s? s Let w be -3*8/(-396)*3. Let f = -0.13 + -0.07. Let q = f - -0.2. Which is the biggest value? (a) -1/3 (b) w (c) q b Let u = -227.4 - -232.4. Which is the second smallest value? (a) u (b) 0.04 (c) -4 b Let r = 18.21 + -0.91. Let j = r - 17. Let v = -3.2 - -0.2. What is the second smallest value in 4, v, j? j Let x(f) = f**3 + 8*f**2 - 14*f - 21. Let m be x(-9). Suppose -m*n - 7 = -17*n. Let i = 0.2 + -0.1. What is the biggest value in n, i, -6? i Let y = -751/9 + 251/3. What is the fourth smallest value in y, 8/13, 1/8, -2/7? 8/13 Let r = -49/4 - -13. Let c = -12 + 0. Let q = c + 7. What is the second smallest value in r, -9, q? q Let b = -18 + 32. Let l(a) = 21*a. Let k be l(-1). Let q be (6/k)/(6/b). What is the third smallest value in -5/3, 2/9, q? 2/9 Suppose 13628 = -6*u + 13676. Let h = -3 + 3.2. What is the smallest value in u, 0.4, h, -1? -1 Let g = 720.2 + -720. Which is the third biggest value? (a) -3 (b) -1.2 (c) 3 (d) g b Let y be (-7987)/3912 + 10/6. Which is the second smallest value? (a) -410 (b) y (c) -0.1 b Let p = -68 - -69. What is the second biggest value in p, 5/2, 7? 5/2 Suppose 5 = r, 15*r - 13*r - 5 = 5*x. What is the second biggest value in 83, x, 7? 7 Let z = -10 + -1. Let k = z + 7. Which is the smallest value? (a) -3 (b) -0.2 (c) k c Let r = -25.8 - -22.8. Which is the second smallest value? (a) r (b) 1 (c) 0 c Let d = 27 + -32.4. Let m = 3.4 + d. Let h = 4.9 + 0.1. What is the second biggest value in h, -0.4, m? -0.4 Let y be ((-54)/(-8))/3 + 12/(-48). Let a be (-4 + 168/39)*y/(-4). What is the fourth smallest value in a, 3, -1, 0? 3 Let q be (-2)/(-4)*(-3 - -5). Let z = 45 - 50. Which is the second biggest value? (a) -1 (b) q (c) z (d) 4 b Let u = 14.94 + -15.44. What is the second biggest value in -25,
{ "pile_set_name": "DM Mathematics" }
6 - 29 + 5). -100*a Expand (-271*q**2 + 27*q**2 + 29*q**2 + (-2 + 0 + 1)*(3*q**2 - 2*q**2 + q**2) + 0*q**2 - 2*q**2 + 3*q**2)*(2*q + 1 - 1). -432*q**3 Expand (33*a**2 - 33*a**2 - 47*a**3)*(-3*a + 4*a - 4*a). 141*a**4 Expand (-11 + 11 - 4*n)*(2 + 1 - 5)*(-n - n + n)*(0 - 1 - 1 + 2*n)*(2 - 1 - 4). 48*n**3 - 48*n**2 Expand (-2 + 2 + 5)*(-3 - 25*p + 3). -125*p Expand -37*i + 37*i + 23*i**2 - 3*i**2 + i**2 + 0*i**2 + (3*i - 2*i + i)*(-3*i - 3*i + 4*i) + 0 + 9*i**2 + 0. 26*i**2 Expand (7*o**2 + 15 - 15)*(-3 - 1 + 6)*(1 - 5 - 5) + 0*o**2 + 5*o**2 - 3*o**2. -124*o**2 Expand s**3 - 5 + 5 + (-11*s**2 - 23*s**2 - 23*s**2)*(s - 2*s - 2*s). 172*s**3 Expand ((3 + 1 - 1)*(-4 + 3 - 4) + 0 + 5 - 2)*(-4*n**2 + 0*n**2 + 5*n**2). -12*n**2 Expand (-3*t**4 + 0*t**4 + t**4)*(-6*t + 22 - 7*t + 3*t + 3*t). 14*t**5 - 44*t**4 Expand (0*p**3 + 3*p**3 + 3*p**3)*(p + 8*p + 5*p) + (p**2 - 3 + 3)*(5*p**2 - 2*p**2 - 2*p**2). 85*p**4 Expand (0*s + 3*s + s)*(7*s**3 + 8*s**3 - 12*s**3) + s**4 + 4*s**4 - 3*s**4. 14*s**4 Expand -4*b**4 - 22*b**4 + 11*b**4 + 0*b - b**4 + 0*b + (-3*b + 3*b - 2*b**2)*(2*b**2 - 5*b**2 + b**2). -12*b**4 Expand 2*v**2 - 4*v**2 + 0*v**2 + (0*v + 0*v - 2*v**2)*(2 - 3 + 0) + 2*v**2 + 0 + 0 + 3*v**2 - 6*v**2 + 2*v**2 + (22 + 11*v - 22)*(-5*v + 6*v + 4*v). 56*v**2 Expand (4*u**2 - 3*u**2 - 1 - 2)*(3*u**2 + u**2 - 3*u**2 + (-2*u + 0 + 0)*(0*u + 3*u - u) + 3*u**2 - 2*u**2 - 2*u**2). -4*u**4 + 12*u**2 Expand (4 - 54*k**2 + 26*k**2 - k + 29*k**2)*(-3*k**2 - 11 + 11). -3*k**4 + 3*k**3 - 12*k**2 Expand (3*q - 2 + 2)*(-q**2 + 3*q**2 - q**2)*(-23*q + 2*q - 13*q). -102*q**4 Expand (-2*u - 3*u + 2*u)*((7 - 7*u - 7)*(1 - 2*u**2 - 1) - 2*u**3 + u**3 + 3*u**3) - 2*u**4 - 4*u**3 + 4*u**3. -50*u**4 Expand (g**4 + 2*g**4 + 0*g**4)*(g - 2*g - g) + 21*g**4 - 21*g**4 - 21*g**5 - 2*g**5 - 3*g**5 + 4*g**5 + (0 + 2*g**2 + 0)*(-g**3 + 0*g**3 + 3*g**3). -24*g**5 Expand (7*c**3 - c**3 + c**3 + (1 + 7 - 1)*(c**3 + c**2 - c**2))*(10*c - 7*c - 3*c - 13*c**2). -182*c**5 Expand -278*s + 278*s - 65*s**5 + (3*s**4 + 3*s**4 - 4*s**4)*(-3*s + 0*s + 2*s) + 12 + 11 - 22 - 5*s**5. -72*s**5 + 1 Expand (-4*t**3 - 2*t**3 + 1 + 4*t**3)*(t**2 + 2*t**2 - t**2 + (t - 3*t + 6*t)*(t - 1 + 1)). -12*t**5 + 6*t**2 Expand (0*j - 6*j + 4*j)*(-7872 - 168*j + 7872). 336*j**2 Expand (-24*o**2 - 12*o**2 + 10*o**2 + (4*o + 2*o - 7*o)*(2*o - 4*o + 5*o))*(-4*o - 3*o + 5*o). 58*o**3 Expand ((h - 8*h + h)*(-29 + 2 - 13) + (-5 + 3 + 1)*(0*h - 4*h + 2*h))*(-2*h**2 - 2*h**3 + 6*h**2 - 3*h**2). -484*h**4 + 242*h**3 Expand ((2*z + z - 4*z)*(-3*z + 2*z + 0*z) + 3*z**2 + z**2 - 3*z**2 - 8*z**2 + 11*z**2 + 10*z**2)*(-3*z + z**2 + 3*z). 15*z**4 Expand u - u + 2*u**2 + (-2*u - 1 + 1 - 3*u - 2*u + 6*u + (-u + 0*u + 0*u)*(2 - 7 + 2))*(23*u + 37*u - 18*u). 86*u**2 Expand (258 - 52 + 184)*(-4*g + 5*g - 3*g). -780*g Expand 32*t - 32*t - 22*t**3 + (3*t - t + t)*(-2*t**2 - 2*t**2 - 2*t**2). -40*t**3 Expand (3 - 3 + 2*l**2 + l**2 + l**2 - 3*l**2 + (2*l**2 + 0*l + 0*l)*(-2 - 1 + 2))*(-128 - 13*l**2 + 128). 13*l**4 Expand (-2 + 3*o**2 + 2)*(-o**2 - o + o) - 3*o**4 + 24*o**4 - 3*o**4 + 118*o - 118*o - 8*o**4. 7*o**4 Expand (-2 + l**4 + 2)*(-l + 0*l + 3*l) + l + l**5 - l + 0*l**5 - 3*l**5 + 2*l**5 + 122*l**5 - 588*l**5 - 333*l**5. -797*l**5 Expand (1 + 0 - 6)*(4 + 1 - 4)*(4*v**2 - 2*v**2 - 4*v**2)*(-v + 0*v + 3*v + (-4 + 3 + 2)*(v - 5*v + 3*v) - 41*v + 89*v - 20*v). 290*v**3 Expand (-f + 0*f + 7*f)*(78*f - 140 + 140). 468*f**2 Expand (2 + 2 + 7)*(-4 + 1 + 2)*(5*s**5 - 4*s**5 + 0*s**5) + 0*s**4 + 3*s**5 + 0*s**4. -8*s**5 Expand (7*i + 5*i + 23*i)*(-6 + 7 - 16). -525*i Expand (-4*g + g + 2*g + (35*g - 859 + 859)*(1 - 4 + 4))*(4*g**2 - 6*g**2 + g**2). -34*g**3 Expand (0*n - 2*n + n)*(56*n + 1263 - 1263)*(3*n - 2*n - 2*n). 56*n**3 Expand (-t + 3*t**2 - t**2 - t**2)*(-t + 4*t + t)*(12*t - 13 + 13). 48*t**4 - 48*t**3 Expand (3 - 2 + 0)*(-2 + 2 + 2*q)*(0 + 1 + 1 + (-2 + 1 - 1)*(3 - 4 - 1) - 1 + 6 - 12). -2*q Expand -17 + 17 - 7*w + (-11 + 3 + 0)*(4*w - 3*w + w). -23*w Expand (4*t**3 + t**3 - 3*t**3)*(3 - 3 - 1)*(0*t - t - 48*t). 98*t**4 Expand (8 + 3 - 14)*((-2*s - 1 + 1)*(0 - 1 + 3) - 5*s + 3*s - 227 + 209). 18*s + 54 Expand (-6825 + 6825 + 55*a**2 + (3 - 2 + 1)*(-a**2 + 4*a**2 - a**2))*(-1 + 2 - 2)*(-3 + 4 - 2)*(-2 + 0 + 3). 59*a**2 Expand ((3 - 6 + 1)*(-27 - 11 - 6) + 0 + 1 + 1)*(-3*u**2 + 3*u**2 + 2*u**2). 180*u**2 Expand (-77*c - 19 + 2*c**2 + 19)*(-c**3 - c**3 + 0*c**3). -4*c**5 + 154*c**4 Expand (3 + 2*p**2 - 3)*(86 - 86 + 21*p). 42*p**3 Expand (111 - 83 - 70)*(-3*s + 2*s**2 + 3*s). -84*s**2 Expand (-2*j**2 + 0*j**2 + 4*j**2)*(-2*j**2 - 3*j**2 + 3*j**2 + j + (-2*j**2 + 1 - 1)*(6 + 5 - 1)). -44*j**4 + 2*j**3 Expand (-b**3 + 4 - 4)*(-2*b**2 - 2*b + 2*b) - 7*b**5 - 5*b**5 - 5*b**5. -15*b**5 Expand (-l**2 + 2*l - 2*l)*(1 - 3 + 1) + 9*l - 9*l + 5*l**2 + (-l - 11*l + 2*l)*(-4 + 2*l + 4). -14*l**2 Expand (s + 25*s + 4*s)*(0 + 0 - 2*s)*(2 - 2 + 3*s). -180*s**3 Expand (-12*u**3 + 2*u**3 - 14*u**3)*(4*u**2 + 3*u**2 - 3*u**2 + (3*u**2 - 3*u**2 + u**2)*(-2 - 2 + 3)). -72*u**5 Expand (2*c + 0*c - c)*(-4 + 4 - 2*c + (-2 - c + 2)*(2 + 2 - 5) - 4*c + 0*c + 2*c + 177*c + 285*c + 111*c). 570*c**2 Expand (-2*h**3 + 2*h**3 + 4*h**3)*(-2*h - 1 + 1) + 0*h**4 - 2*h**4 + h**2 + 0*h**4. -10*h**4 + h**2 Expand (-2*o**3 + 3*o**3 - 2*o**3 + 17)*(2*o + 2*o**2 - 2*o)*(-2 + 1 - 2). 6*o**5 - 102*o**2 Expand (z - z - 2*z + 2 - 2*z - 2 + (0 + 2 - 3)*(2*z + z - 4*z))*(-3*z**2 + 0*z**2 - z**2). 12*z**3 Expand (-4*t**2 + 3*t**2 - 3*t**2)*(-t**2 + 2*t**2 - 2*t**2)*(-13*t - 2 + 10*t + 4). -12*t**5 + 8*t**4 Expand (0*a - 2*a**3 + 0*a)*(4*a - 2*a - a) + 13*a**4 - a**2 - 17*a**4 + 7*a**2. -6*a**4 + 6*a**2 Expand (2*f**3 - f**3 + 0*f**3 - f**3 + 2*f - 2*f + (2*f + 1 - 1)*(-4*f**2 + 0*f**2 + 6*f**2))*(-88*f**2 + 3 + 128*f**2 - 4). 160*f**5 - 4*f**3 Expand (-1 + 2 + 0)*(156*b - 46 + 46). 156*b Expand (-3*b**2 - 2*b - 2*b**2 + 4*b**2)*((3*b**3 - 2*b**3 + 0*b**3)*(-3 + 4 + 0) - 119*b**2 + 6*b**3 + 119*b**2). -7*b**5 - 14*b**4 Expand (-3*u**2 + 0*u**2 + 5*u**2 + (0 + 3 - 2)*(3*u**2 + 3 - 3))*(109*u**3 - 111*u**3 - 14 - u**2 + 3). -10*u**5 - 5*u**4 - 55*u**2 Expand (4*n - 7*n - 2*n)*(0*n - n + 0*n)*(-2*n - n + n). -10*n**3 Expand (0*x**2 - 4*x**2 + 5*x**2)*(2*x - x - 3*x) - 2*x**3 - x**3 + 6*x**3 + (4*x + x - 3*x)*(-3*x**2 - 7*x**2 - 3*x**2). -25*x**3 Expand (h + 3*h - 2 - 3*h)*(4 + 0 + 0)*(5*h**2 - h**2 - 5*h**2 + (h - 3*h + h)*(10*h - 17 + 17))*(-1 + 0 + 2). -44*h**3 + 88*h**2 Expand (2*b - 6*b + 2*b)*(197 - 56 - 52)*(0 + b + 0 + (0*b - b + 0*b)*(0 + 1 - 2)). -356*b**2 Expand (0 + 5 - 4)*(-1 - 2 + 0)*(41151*d**5 + 57 + 60 - 41153*d**5). 6*d**5 - 351 Expand (31 + 36*y + 34 - 66)*(-3 - 6 + 5). -144*y + 4 Expand ((3*c**2 - 3*c**2 + c**3)*(-73 - 61*c + 73) - 3*c**4 + 0*c**4 + 2*c**4)*(-2 + 0 + 0) + (-c + 3*c - 4*c)*(-4*c**3 + 4*c - 4*c) + 0*c**3 - c**4 + 0*c**3. 131*c**4 Expand (-2 + 4 - 1)*(-19 + 3*a + 134 + 45). 3*a + 160 Expand (-4*g + g + 2*g)*(376 - 637 + 447). -186*g Expand (2 - 5 + 2 - 1 + 0 + 3 + (0 + 3 - 2)*(-6 + 2 + 2) - 3 + 6 - 4)*(-34*b**4 + 44*b**4 - 57*b**4). 94*b**4 Expand -z + 3*z + 0*z + (2 - 3 - 1)*(-23*z - 23*z + 16*z). 62*z Expand (0*m - 2 + 3*m - 10*m)*(-3*m + 4*m + m)*(-1 + 0 + 5)*(2*m**3 + 3*m**3 - 3*m**3). -112*m**5 - 32*m**4 Expand (0 + 5 + 1)*(6*q**3 + 5*q**3 + 21*q**3) + 4*q**3 - 2*q**3 + 0*q**3. 194*q**3 Expand (0 - k + 0)*(2 - 2 - 3)*(-1 + 7 + 2)*(1 + 1 - 1)*(0*k - 2*k + 0*k + (4*k - 2*k + 4*k)*(1 + 0 - 3)). -336*k**2 Expand (-n + 6*n - 12*n)*(-n**2 + 4*n**2 - 2*n**2)*(-1 - 2*n**2 + 1). 14*n**5 Expand (1 - 1 + 3)*(-j**3 + 0*j**3 - 2*j**3) - 9*j**2 - 2165*j - j**3 + 2165*j. -10*j**3 - 9*j**2 Expand 3 + g**3 - 2*g**3 + 0 + (78*g**2 + 58*g**3 - 78*g**2)*(4 - 1 - 5). -117*g**3 + 3 Expand -4*b**3 + 4*b**3 - 3*b**3 + (4 + 2 - 5)*(12*b**3 - 30*b + 30*b) + 2*b**3 - 2*b**3 - 2*b**3 + (-2*b + 1 - 1)*(1 - 1 - 2*b**2). 11*b**3 Expand (w - 3 + 3)*(0 + 6 - 1)*((-2*w + w + 0*w)*(w**2 - w + w) + 2*w**3 - w**3 + 7*w**3). 35*w**4 Expand (-4*j + 2*j + 0*j)*(10*j - 10*j - 19*j) - 12*j**2 - 103*j + 103*j. 26*j**2 Expand (34 - 28 - t - 22)*(4*t - 5*t - 2*t - 1)*(-2*t - 3 + 3). -6*t**3 - 98*t**2 - 32*t Expand (0 - 1 - 1)*(38*j - 27*j + 55*j) - 1 + 1 - j. -133*j Expand (4 - 4 - 4)*(-11 - 1 + 38)*(-1 + 4 - 2)*(-l + 0*l + 2*l). -104*l Expand (-y**2 - y + y)*(58*y - 1834 + 1834). -
{ "pile_set_name": "DM Mathematics" }
5, k: 11}? 55/112 Two letters picked without replacement from {g: 5, b: 9}. What is prob of picking 2 b? 36/91 Three letters picked without replacement from ngxxxkxxd. Give prob of picking 1 d, 1 n, and 1 k. 1/84 Two letters picked without replacement from {a: 1, s: 5, b: 1, k: 4}. Give prob of picking 1 a and 1 s. 1/11 Calculate prob of picking 2 s when two letters picked without replacement from {s: 4}. 1 Four letters picked without replacement from ssss. What is prob of picking 4 s? 1 Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {z: 7, s: 9}. 21/40 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, t: 2, o: 9, r: 4}. 1/51 What is prob of picking 4 u when four letters picked without replacement from {u: 7}? 1 Three letters picked without replacement from {a: 1, h: 1, j: 2, t: 3}. What is prob of picking 2 t and 1 j? 6/35 Four letters picked without replacement from aaxxmaxam. Give prob of picking 2 x and 2 m. 1/42 Calculate prob of picking 2 l when two letters picked without replacement from lmlllllllllll. 11/13 Calculate prob of picking 1 f and 2 a when three letters picked without replacement from affafffffafafaff. 11/56 What is prob of picking 2 q when two letters picked without replacement from qqqcccnqwqcqcqqqqqq? 22/57 Calculate prob of picking 2 n and 1 e when three letters picked without replacement from {k: 10, n: 3, j: 4, e: 3}. 3/380 Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, o: 3}. 1/20 What is prob of picking 1 k, 1 t, and 1 u when three letters picked without replacement from fukkuuuututfftf? 36/455 Calculate prob of picking 2 e and 1 c when three letters picked without replacement from cccecccyeyc. 7/165 Four letters picked without replacement from tafffabff. Give prob of picking 1 t, 1 a, and 2 f. 10/63 Calculate prob of picking 1 s and 2 n when three letters picked without replacement from nnsfluuq. 1/56 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {f: 1, u: 5, b: 1, e: 3, t: 3}. 1/78 Three letters picked without replacement from {l: 2, m: 8}. What is prob of picking 2 l and 1 m? 1/15 Two letters picked without replacement from {b: 3, h: 17}. What is prob of picking 2 b? 3/190 What is prob of picking 1 z and 1 v when two letters picked without replacement from dinivziwiinvv? 1/26 What is prob of picking 3 a when three letters picked without replacement from aaolaaayh? 5/42 Calculate prob of picking 1 c and 1 x when two letters picked without replacement from rrrurcxmmxcmcmrchx. 4/51 Calculate prob of picking 2 o when two letters picked without replacement from luzoyzuo. 1/28 Two letters picked without replacement from {h: 5, y: 2}. What is prob of picking 1 y and 1 h? 10/21 Three letters picked without replacement from memmmeg. What is prob of picking 1 g and 2 m? 6/35 Four letters picked without replacement from {r: 1, p: 2, m: 1, d: 1, s: 2, l: 2}. Give prob of picking 1 d, 1 m, 1 s, and 1 l. 2/63 Three letters picked without replacement from {d: 2, p: 3, i: 5, b: 1, c: 1, r: 1}. Give prob of picking 3 r. 0 What is prob of picking 1 l and 1 e when two letters picked without replacement from bhewweslwhls? 2/33 Three letters picked without replacement from fofvn. Give prob of picking 1 o, 1 v, and 1 f. 1/5 Four letters picked without replacement from nweeweneennn. What is prob of picking 1 w and 3 e? 4/99 Two letters picked without replacement from {h: 5}. Give prob of picking 2 h. 1 Two letters picked without replacement from {h: 2, z: 11}. What is prob of picking 1 z and 1 h? 11/39 Calculate prob of picking 2 a and 1 n when three letters picked without replacement from {n: 2, m: 1, a: 1}. 0 What is prob of picking 2 q, 1 v, and 1 e when four letters picked without replacement from {q: 3, x: 3, e: 2, y: 3, v: 2}? 12/715 Calculate prob of picking 4 l when four letters picked without replacement from {i: 5, l: 8}. 14/143 Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, t: 3, v: 4, p: 5}. 1/140 What is prob of picking 2 y when two letters picked without replacement from {b: 1, y: 2, i: 2}? 1/10 Two letters picked without replacement from {g: 11, l: 2, f: 5, d: 1}. What is prob of picking 2 l? 1/171 What is prob of picking 3 d and 1 y when four letters picked without replacement from {y: 3, d: 5}? 3/7 Two letters picked without replacement from {k: 7, u: 2}. What is prob of picking 2 k? 7/12 Two letters picked without replacement from {n: 9, l: 2, g: 6}. What is prob of picking 1 l and 1 g? 3/34 Calculate prob of picking 2 e when two letters picked without replacement from {h: 2, e: 3}. 3/10 Calculate prob of picking 3 r when three letters picked without replacement from {o: 3, s: 1, c: 1, r: 10}. 24/91 Three letters picked without replacement from {h: 2, v: 11, l: 1}. What is prob of picking 2 v and 1 l? 55/364 Two letters picked without replacement from {q: 1, t: 4, s: 5}. What is prob of picking 1 s and 1 t? 4/9 Three letters picked without replacement from {f: 1, e: 14, i: 2}. Give prob of picking 1 f and 2 i. 1/680 What is prob of picking 3 d when three letters picked without replacement from {n: 2, h: 3, l: 6, d: 4, a: 1}? 1/140 What is prob of picking 1 s, 1 l, and 1 z when three letters picked without replacement from {z: 8, l: 6, s: 3}? 18/85 Four letters picked without replacement from {u: 5, m: 2, z: 3, o: 3, v: 1, y: 6}. What is prob of picking 1 y, 1 v, 1 u, and 1 m? 4/323 Two letters picked without replacement from uduydrruyuduyyu. Give prob of picking 1 r and 1 d. 2/35 Two letters picked without replacement from {k: 1, q: 2, j: 2}. What is prob of picking 1 k and 1 j? 1/5 What is prob of picking 2 a when two letters picked without replacement from ppppaa? 1/15 Two letters picked without replacement from qpefi. Give prob of picking 1 i and 1 e. 1/10 Three letters picked without replacement from yydxydyyxxyxx. What is prob of picking 1 y, 1 x, and 1 d? 30/143 What is prob of picking 1 z and 2 f when three letters picked without replacement from {f: 2, z: 4}? 1/5 Calculate prob of picking 2 c and 2 a when four letters picked without replacement from {u: 4, l: 5, a: 2, c: 2, r: 4}. 1/2380 Calculate prob of picking 3 h when three letters picked without replacement from hhwhwhhhhhhhhwhhhhhh. 34/57 What is prob of picking 1 r, 1 g, and 1 w when three letters picked without replacement from grwrwwrwrwwrwwwrw? 3/34 Two letters picked without replacement from {g: 6, z: 1, v: 1, b: 3, w: 5, e: 1}. What is prob of picking 1 z and 1 b? 3/136 Calculate prob of picking 2 m when two letters picked without replacement from {m: 15, w: 4}. 35/57 Three letters picked without replacement from xxrxrrrrrmrm. What is prob of picking 2 m and 1 x? 3/220 Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {r: 7, x: 7, l: 2}. 3/40 Three letters picked without replacement from {u: 3, w: 2, l: 1, m: 1, p: 1, r: 3}. What is prob of picking 2 r and 1 l? 1/55 Four letters picked without replacement from {b: 3, t: 1, l: 4}. Give prob of picking 4 l. 1/70 Calculate prob of picking 2 w and 1 h when three letters picked without replacement from {b: 3, j: 1, w: 11, e: 1, y: 1, h: 3}. 11/76 Two letters picked without replacement from {q: 5, t: 5, k: 1, s: 9}. What is prob of picking 1 s and 1 t? 9/38 Calculate prob of picking 2 y and 1 i when three letters picked without replacement from ymmimamdda. 0 What is prob of picking 2 z, 1 p, and 1 c when four letters picked without replacement from {c: 2, z: 3, q: 3, t: 1, s: 1, p: 7}? 3/170 Four letters picked without replacement from aaaaa. Give prob of picking 4 a. 1 Two letters picked without replacement from {h: 3, d: 2, g: 1, v: 3, u: 1, o: 1}. Give prob of picking 1 h and 1 d. 6/55 Calculate prob of picking 1 w, 1 e, and 1 m when three letters picked without replacement from wwwebblebleemmwm. 3/35 Four letters picked without replacement from {h: 2, w: 4}. What is prob of picking 1 h and 3 w? 8/15 Calculate prob of picking 2 m and 2 g when four letters picked without replacement from grmmmrrrmrmmrmv. 0 Calculate prob of picking 1 o and 1 l when two letters pick
{ "pile_set_name": "DM Mathematics" }
-2 - -1 - (4 + -7). Suppose -8 = r*k - 20. What is the smallest common multiple of t(k) and 4? 4 Let m = -6013/10 - -607. What is the common denominator of 10/249 and m? 2490 Let o(j) = j**2 + 10*j + 6. Let t = -1/29711 + 1634153/1426128. What is the common denominator of t and o(-6)? 48 Let z be ((-8057096)/(-252))/(20/(-15)). Let f = -23978 - z. Find the common denominator of -61/4 and f. 84 What is the lowest common multiple of 8 and (-4 - (0 - 5)) + 1/1? 8 Let i = -2/8593 - -558561/68744. Calculate the common denominator of i and (-438)/(-4)*2/(-66). 88 Let l be 2*1/(-4)*370. Find the common denominator of ((-41)/10 + 4)/(2/l) and 109/10. 20 Calculate the common denominator of -115/24 and 1 + 3 - (-693)/(-288). 96 Let k be (-6)/2*(-30)/2. Calculate the common denominator of -97/20 and (2 - -3) + (-426)/k. 60 Calculate the common denominator of 170/(-1048) - (-7)/35*0 and -7/6. 1572 Suppose -2*h - 3*b = -2, 4*b - 9*b - 4 = -4*h. Calculate the least common multiple of h and 240. 240 Suppose 0 = 2*p + 5*x - 85, 2*x + 4 = -2*p + 74. What is the lowest common multiple of 88 and p? 1320 Let f(z) = z**2 - 10*z - 9. Let h be f(10). What is the lowest common multiple of (-3)/h*3*4 and 9? 36 Suppose 5*m - 9 = -4. What is the lowest common multiple of 11/(-3)*(-6)/m and 4? 44 Suppose 116*l = 107*l + 27. What is the lowest common multiple of l and 7? 21 Let u(o) = -o - 7. Let c be u(-7). Let i be c + (-2)/(-2)*1. Find the common denominator of -113/18 and (-103)/(-12) - 2/i. 36 Let h = 10555477/210 - 50264. What is the common denominator of h and 61/14? 210 Let w(x) = -x**2 - 17*x - 1. Let m be w(-9). Find the common denominator of (m/2 + 1)*(-22)/165 and -56/9. 45 Suppose 142*w - 4659 = 6843. What is the lowest common multiple of w and 240? 6480 Find the common denominator of 56/9 and (16/360)/((-54)/(-380)). 243 Suppose -17 - 1 = -k + 5*w, w + 42 = 5*k. What is the common denominator of 41/180 and k/96*149*1? 180 Suppose 2714 = 21*o + 572. Calculate the least common multiple of 18 and o. 306 Let n be 35/(-7) + 245926/49186. Let o = n - 1598513/393488. What is the common denominator of -115/6 and o? 48 Let h be 2/7 - 48/(-28). Let v(c) = 4*c. Suppose i = -4*i + 20. What is the smallest common multiple of v(h) and i? 8 Suppose 19 = -3*r - 8. Calculate the common denominator of -2*r/(-30) + (-37)/(-20) and -35/2. 4 Suppose -3*i = -21*j + 19*j - 8, 0 = -3*i + 4*j + 10. Calculate the lowest common multiple of i and 1/(-2) - 3/(-2). 2 Let t = 183 + -671. Let z = 5358/11 + t. Let x = 355/42 - -68/7. Calculate the common denominator of x and z. 66 What is the smallest common multiple of 15 and (6/48)/(1/10)*36? 45 What is the common denominator of 1 + ((-1815)/36)/(-5) and 25/26? 156 Let z(p) = -p**3 - 8*p**2 + p + 18. Let b be z(-8). Suppose 0*a = a - b. Suppose 12*n - a*n = 20. What is the least common multiple of n and 8? 40 Let d = -5 + 18. Suppose 2*t - d = -1. Let c = 12 - t. Calculate the least common multiple of c and 10. 30 Find the common denominator of (7 - 9) + (-648)/(-286) - 0 and 95/78. 858 Suppose 28 - 8 = 5*p. Let y = 14 + -366. What is the least common multiple of (-2)/(-9) + y/(-36) and p? 20 Let u(t) = -3*t**2 - 36*t - 87. What is the smallest common multiple of u(-8) and 3? 9 Suppose 4*c = 5*w - 27, 6*w - w - c - 18 = 0. Let o = w - -1. Calculate the lowest common multiple of o and 74. 148 Let g = -1467/2 + 780. Suppose 2*t - 4*h + 3*h = -532, -5*h - 1360 = 5*t. Calculate the common denominator of ((-6)/(-40))/((-6)/t) and g. 10 What is the common denominator of -41/80 and ((-5)/(800/184))/(8/(-6))? 80 What is the common denominator of 81/20 and (-6 - (-15 - -7))/(636/(-39))? 1060 Calculate the smallest common multiple of (-48)/40*-5*6/4 and 183. 549 Suppose -y + 4 = 0, 4*y + 100 + 73 = w. Let l = w + -731/4. What is the common denominator of l and 2/(40/(-202)) - -3? 20 Let d(n) = n - 4. Let o(a) = 1. Let k(v) = -d(v) + 2*o(v). What is the lowest common multiple of 32 and k(-5)? 352 Let s = -111/750903198287 + 57272206017807278363433/690830942424040. Let z = 82903370 - s. Let u = -7/115 + z. Calculate the common denominator of 20/9 and u. 72 Suppose 3*h - 5 = 2*k, -3*h = 4*k + 22 - 3. Find the common denominator of -65/16 and (k - (-122)/(-12))*1. 48 Let v = -143 + 149. Calculate the smallest common multiple of v and 22. 66 Let t be 2/645*(4 - 20250/34). Let c = t - -7/645. Find the common denominator of 121/10 and c. 170 Suppose 3*y - 1668 = -y. Let v = 761/2 - y. Find the common denominator of 27/10 and v. 10 Suppose 3*c + 13 = -2*t, 0 = -2*c - t + 3*t - 2. Let q be (28681/69)/(2/c). Let u = q - -668. Find the common denominator of 19/9 and u. 18 Suppose 0 = -3*a - 4*f + 23, -a - 4*a + 30 = 5*f. Calculate the smallest common multiple of (-11 - -3)/((-1)/a) and (-46)/(-12) + (-10)/12. 24 Let z be ((-2)/1)/(16/128). Suppose -s + l = -3*l - 45, 30 = 2*s + 4*l. Let j = z + s. What is the lowest common multiple of 4 and j? 36 Let h be ((-90)/(-25))/((-3)/(-15)). Suppose -4*z = -7*z + h. What is the least common multiple of 2 and z? 6 Suppose 2*a - 19 = -3*c, 8*a + 43 = 3*c + 4*a. What is the lowest common multiple of 2 - (-2)/((-4)/(-6)) and c? 45 Let l be 4/2664*-46 + 0. Let j = 27295/4662 + l. What is the common denominator of j and (-5 - -1 - -2)*549/396? 154 Find the common denominator of (230/50)/((-6)/10) and -73/42. 42 Let r = 109 - 121. Suppose z + 10 = 98. What is the lowest common multiple of 50/6*1 + 4/r and z? 88 Let d(o) = -4*o**2 - 29*o - 37. What is the smallest common multiple of d(-5) and 1? 8 Let i = 306 + -615. What is the common denominator of (-5)/10 + i/30 and 125/6? 30 Let w = 1410 + -12712/9. Calculate the common denominator of w and -44/5. 45 Let x = 39926 + -116114/3. Let v = 751435/4 + -186643. Let o = v - x. Find the common denominator of o and 43/10. 60 Suppose 3*f + 7 = 25. Let w = 2699 - 13548/5. Find the common denominator of 149/f + (-4)/8 and w. 15 Let d = 422 + -407. Calculate the least common multiple of 129 and d. 645 Let x = -6190411/154 - -40198. Let t = -3169/30 + 301/3. Find the common denominator of x and t. 770 Let u(j) = 11*j - 207. Calculate the smallest common multiple of 15 and u(21). 120 Suppose 3*w - 186 = 2*i, -3*w + 4*i = -201 + 9. Calculate the smallest common multiple of w and 42. 420 Let x = 20 + -18. Suppose -4*r + 440 = x*u, 25 = -r + 2*u + 145. Calculate the lowest common multiple of 32 and ((-9)/6)/((-12)/r). 224 Let z = -333 - -345. Calculate the least common multiple of 12 and z. 12 Let y = -1276087/102 + 12511. Find the common denominator of -77/20 and y. 1020 Let j = -183489/239680 - 1/14980. Calculate the common denominator of j and -59/48. 192 What is the common denominator of -53/18 and (0 - (-8)/556)*(-332)/16? 2502 Let f = 26 - 14. Calculate the smallest common multiple of (4/14 + 920/161)*3 and f. 36 Let f = 55273/67 + -825. What is the common denominator of -38/3 and f? 201 Suppose -4*f + 94 = 38. Suppose 7*h - f = 14. Calculate the least common multiple of h and 4. 4 Let p = 395155/8 + -216027/4. Let c = p + 4605. Find the common denominator of -23/7 and c. 56 Calculate the least common multiple of 4/14 + 390/7 and 232. 1624 Let r = -229757/12 + 19135. Calculate the common denominator of r and ((-53)/22)/(1*-2). 132 Find the common denominator of -17/52 and ((-15)/27)/(9/(2052/(-16))). 156 Let m(d) = -2*d + 17. Let c be (-2)/6 + (-302)/(-6). Suppose -2*k + 7*k - c = 0. What is the lowest common multiple of k and m(6)? 10 Let r(m) = -3*m. Let z be r(-1). Let x = 5 - z. Let f = 148244 + -148234. Calculate the lowest common multiple of x and f. 10 What is the lowest common multiple of 84 and 5*(-4)/(-10) + (66 - -2)? 420 Let m = 4278/925 + -44/25. Let y = 3761/370 - m. Let g = 21280 + -382937/18. What is the common denominator of y and g? 90 What is the common denominator of (-264)/(-40) - 4/8 and -35/802? 4010 Let f be (30/(-40))/(253/(-16)). Let j = 10517/3036 - f. Calculate the common denominator of -13 and j. 12 Let r(v) = -201*v - 122. Calculate the lowest common multiple of 12 and r(-1). 948 Find the common denominator of 67/84 and 182/156*4/(-13). 1092 Let g = 204439/27 + -7573. Calculate the common denominator of 23/6 and g. 54 Let w = 75 + -70. Suppose -3 - 4
{ "pile_set_name": "DM Mathematics" }
(5/15)/((-2*1)/2)? -1/3 What is (-110)/33*12/10? -4 Evaluate (76/114)/(-2*11/(-6)). 2/11 Calculate (-36)/72*(-14)/(-1). -7 Calculate (25/(5/(-1)))/1. -5 Calculate (5*9/60)/(21/(-56)). -2 (-2)/(-3)*-1*(-12)/(-10) -4/5 (40/15)/(1/((-3)/(-2))) 4 What is the value of (2/(-14)*-7)/(4/4)? 1 (-2)/8*1/2 -1/8 Evaluate 2/((148/259)/(2*1)). 7 (-4)/9*16/64 -1/9 Calculate (34/(-85))/(2*16/100). -5/4 5/(11/((-33)/(-12))) 5/4 Calculate (8/(-8))/(21/12). -4/7 Calculate (4/(-3))/(116/87). -1 (-4)/6*((-8)/(-4))/2 -2/3 (1/(-3))/((12/45)/(-4)) 5 (76/(-266))/(4/7)*1 -1/2 Calculate (-30)/(-30)*(-4)/10. -2/5 What is ((-2)/(-1))/(96/8)? 1/6 What is the value of 2/12*90/6*-2? -5 What is (-16)/6*24/112? -4/7 What is (1/(-12)*2)/(2/(-4))? 1/3 Calculate 2/((-6)/(-24)*-2). -4 What is the value of ((-1)/(-3))/((-4)/(-12))? 1 Evaluate (-5*(-9)/(-150))/((-8)/(-10)). -3/8 What is ((-24)/(-4))/(4/(-2))? -3 Evaluate ((-8)/10)/((-988)/130). 2/19 Calculate ((12/(-14))/(11/77))/1. -6 What is the value of 10*1/20*10*1? 5 What is (-10)/(-340)*8/2? 2/17 (-6)/(-1)*12/126*1 4/7 Calculate 3/(36/27*18/40). 5 What is ((-12)/10)/(9/(-3))? 2/5 Evaluate (6/7)/(19/((-3724)/(-21))). 8 What is (4/6)/2*(-9)/3? -1 Evaluate 1*2*16/(-176). -2/11 What is the value of (18/(3/(-1)))/(12/8)? -4 What is 2/((-39)/78*1/(-2))? 8 What is (147/49)/(81/(-12))? -4/9 18/3*(-72)/(-432) 1 Calculate (-4)/(-30)*-5*(-9)/(-15). -2/5 Evaluate 4*1/44*(-48)/8. -6/11 (7/(-3))/((240/(-45))/(-16)) -7 What is the value of 16/128*36/(-15)? -3/10 What is (462/(-77))/((-3)/2)? 4 Calculate ((-10)/25)/(2/(-30)). 6 -20*3/(-144)*3 5/4 2/((-13)/((-455)/14)) 5 What is the value of (-33)/55*(-5)/(-1)*1? -3 Calculate (-185)/74*(-4)/(-25). -2/5 Calculate ((-52)/39)/(4/9). -3 Evaluate 0/((-6*1)/(-3)). 0 (1/(-3)*6)/(8/(-12)) 3 What is 8/12*(-3)/2*-1? 1 12/18*((-4)/2)/(-4) 1/3 Calculate (1/2*2)/((-10)/(-10)). 1 ((-6)/9)/((-4)/(-6)) -1 What is the value of (8/(-8))/(1/(-24)*3)? 8 Evaluate (3/10)/((-9)/15)*-12. 6 Evaluate -5*4/16*4. -5 What is the value of ((-3)/(-10))/(60/(-160))? -4/5 ((-2)/(-2))/(17/(-51)) -3 Calculate 2/(-3)*(216/99)/(-8). 2/11 What is the value of (6/(-4))/(1353/164)? -2/11 What is ((-16)/52)/(-4)*-2? -2/13 Evaluate ((-50)/5)/2*(-3)/(-15). -1 Evaluate (-1)/(-10)*72/(-90)*10. -4/5 ((-5)/(-5))/((-5)/90*-3) 6 Evaluate 1*(9/3)/1. 3 Evaluate (-168)/196*21/18*4. -4 32/12*3*(-2)/(-12) 4/3 Evaluate (-36)/8*(-42)/315. 3/5 (-2)/(-5)*-1*(-60)/6 4 Evaluate ((-10)/5)/(-6)*15. 5 Evaluate ((6/(-3))/(-22))/((-5)/5). -1/11 What is (-4)/4*2*42/12? -7 Evaluate 2/(30/(-18)*(-5)/25). 6 What is (5*(-8)/40)/(2/4)? -2 What is ((-96)/(-64))/(6/8*3)? 2/3 What is (-70)/(-4)*(-1)/(15/3)? -7/2 Evaluate (4/(-3))/(48/(-108)). 3 What is the value of (2/(-10))/(10/25)? -1/2 Evaluate (-6)/(-15)*(-3)/(-12). 1/10 What is the value of ((-1)/(-3))/((-81)/(-1701))? 7 4/2*(-1)/(-1) 2 Calculate (10/120)/(8/(-24)). -1/4 (63/(-14)*-2)/((-6)/(-2)) 3 What is the value of (6*2/4)/((-240)/(-400))? 5 Calculate -5*4/((-48)/12). 5 What is 3/(-15)*2*(-40)/96? 1/6 What is the value of (-1)/1*(-6)/(-2)? -3 Calculate 2*1*(-4)/4. -2 What is ((-36)/(-63))/(5/7)? 4/5 What is 30/105*7/8? 1/4 Calculate (-103)/(-309)*3/(27/(-6)). -2/9 ((-132)/45)/11*(-10)/4 2/3 What is the value of (1/(-3))/(2/((-12)/(-11)))? -2/11 (-2)/(5*(-6)/(-75)) -5 What is 14/44*(-128)/(-224)? 2/11 What is ((-1)/(-12))/((-9)/(-36))*-18? -6 Calculate 1/2*10/(-1). -5 Calculate ((-8)/2)/(-32)*-2. -1/4 What is (2/3)/(299/(-69))? -2/13 What is the value of 280/210*15/(-12)? -5/3 What is (-42)/(-4)*(-54)/(-756)? 3/4 Evaluate (1/3)/(((-20)/5)/(-24)). 2 Evaluate (15/10)/(7/((-42)/(-9))). 1 Calculate (26/26)/(2/(-6)*1). -3 Evaluate ((-2)/27*3)/((-96)/72). 1/6 2*85/34*(-4)/(-10) 2 What is the value of 3*(-4)/18*18/3? -4 What is the value of (1344/(-60))/(-16)*1*-5? -7 What is the value of ((-3)/3*(-2)/(-6))/(-3)? 1/9 What is 0*2/(-4)*(-31)/31? 0 Evaluate 273/78*8/14. 2 What is (14/35)/(143/(-55))? -2/13 What is the value of (2*2/(-72))/((-3)/(-12))? -2/9 What is the value of 3*((-8)/28)/2? -3/7 Calculate ((-450)/135)/((14/(-3))/1). 5/7 Evaluate (8/4)/12*-2*2. -2/3 Calculate (-4)/6*((-33)/2)/11. 1 Evaluate (-6)/(-2)*19/(114/16). 8 Calculate -5*-15*18/(-675). -2 Evaluate 132/11*(-2)/180*-6. 4/5 What is (28/8)/(5/30*-3)? -7 Calculate (2/48)/((-5)/(-45)*-3). -1/8 Calculate ((-2)/(-3))/(((-27)/18)/(-3)). 4/3 Evaluate 0*1/(((-15)/5)/3). 0 What is 9*-7*3/(-21)? 9 What is 1*(-2)/2*-1? 1 Calculate 10/8*9/(54/(-24)). -5 Evaluate (-6*24/36)/18. -2/9 What is the value of (-47)/(-94)*(-3)/(3/(-2))? 1 What is the value of 10/(-3)*(-18)/12? 5 What is the value of ((-4)/(-18))/((-54)/(-243))? 1 -2*1/((-3)/(-18)*-3) 4 7/(-189)*3*3*0 0 220/(-1430)*117/(-12) 3/2 What is the value of ((-12)/(-18))/(-2*20/8)? -2/15 What is (((-40)/(-105))/(-2))/((-2)/7)? 2/3 What is (42/(-56))/(6/(-64))? 8 Evaluate (-9)/(-12)*2*(-6)/18. -1/2 3/1*1/1 3 What is (((-8)/(-10))/(8/40))/2? 2 What is 2/((-24)/28)*4/42? -2/9 What is ((-2)/(-8))/(36/(-48))? -1/3 Calculate (35/(-14))/(1/(-2)). 5 What is the value of (4/(-54))/((-3)/9)? 2/9 What is the value of (3/(-8))/(5/(-20))*-2? -3 What is the value of -1*(-9)/(6/(-2))? -3 What is the value of ((-3)/(-3))/1*(-5)/1? -5 (1/12)/((-19)/57) -1/4 Evaluate (240/192)/(15/72). 6 What is 1/1*2*(-11)/11? -2 What is (-8)/2*((-14)/(-2))/14? -2 (4/(-16))/(28/(-48)) 3/7 Evaluate 95/285*36/(-33)*-1. 4/11 1*(56/6)/(4/1) 7/3 What is (14/(-35))/(1/(-5))? 2 Calculate -1*(-3)/(-12)*0. 0 What is 38/(-57)*3*-2? 4 What is ((-3)/(-8))/((-2)/(-8))? 3/2 Evaluate (-6)/(-20)*(-220)/165. -2/5 Calculate ((-37)/74)/((-4)/8). 1 Evaluate ((-15)/(-90))/(((-165)/(-40))/(-11)). -4/9 (-1*5/3)/((-1)/(-3)) -5 Evaluate (4/(-16))/(2/(40*-1)). 5 Evaluate (16/(-120))/(5/(50/(-6))). 2/9 Calculate 50/4*114/(-285). -5 Calculate -6*1*2/(-12)*3. 3 What is ((-2)/(-5))/((-7)/105)? -6 Evaluate 2/((-16)/28)*2. -7 Evaluate 285/19*6/15*-1. -6 What is 30/4*(-17)/(51/(-2))? 5 Calculate 6/24*-6*(-28)/(-273). -2/13 What is (3/(-2))/((-1)/(8/30))? 2/5 Evaluate (4/70)/(9/15). 2/21 What is (-2*9/(-15))/((-28)/(-10))? 3/7 (8/(-6))/(-6*6/(-54)) -2 What is the value of ((-10)/(-45))/((-44)/36)? -2/11 120/15*((-2)/(-2))/2 4 What is the value of 23/((-2070)/(-40))*18? 8 What is the value of (-84)/(-60)*(-4)/(-14)? 2/5 What is (-1)/(-2)*-6*(-2)/(-3)? -2 (-5)/(-1)*14/(-105) -2/3 What is (3*-1)/(15/2)? -2/5 ((-3)/3*1)/((-2)/4) 2 What is the value of 3*16/(-72)*6? -4 Evaluate ((-21)/(-9))/(13/39). 7 Evaluate -14*(-17)/((-357)/(-9)). 6 Evaluate ((-6)/9)/((-470)/(-282)). -2/5 Evaluate ((-4)/24)/(1*(-12)/18). 1/4 What is (16/32)/(15/(-6))? -1/5 What is the value of 108/27*(-1)/((-2)/(-3))? -6 Calculate -2*3*4/(-30). 4/5 Evaluate -12*1/18*(-1)/6. 1/9 What is 2/3*495/(-66)? -5 Evaluate 45*1/(-250)*-10. 9/5 Evaluate -14*1*(-51)/(-102). -7 What is the value of (1/3)/((-6)/(144/(-20)))? 2/5 Evaluate ((-6)/(-27)*6/4)/3. 1/9 0/4*3/6 0 What is (-1)/(-14)*13/((-78)/(-48))? 4/7 Evaluate (((-54)/(-45))/(-1))/(6/20). -4 Calculate 3*-3*(-1)/(-9). -1 Evaluate -2*-2*(9/(-12))/(-3). 1 What is 20/6*27*(-16)/(-360)? 4 Evaluate (6/(-165))/((-5)/(-25)). -2/11 Calculate 74/555*-1*10. -4/3 ((-2)/10)/(1/(-2))*-5 -2 What is the value of (22/264)/((-1)/(-8))? 2/3 1*7/14*(-4)/2 -1 What is the value of ((-1)/(-2))/((-2)/8)? -2 What is (-2)/10*-5*5? 5 What is (-4)/(-8)*(-8)/(-2)? 2 Evaluate (200/360)/(3/27). 5 (6/68)/(15/(-20)) -2/17 What is the value of -7*(3/14)/((-9)/24)? 4 What is the value of 8/18*63/14? 2 Calculate (153/(-136))/(3/4). -3/2 Evaluate (6/(-6))/((2/14)/1). -7 Evaluate (-12)/8*(-6)/9*5. 5 Evaluate 33/(-44)*3/18*2. -1/4 Evaluate (6/8)/(4*(-77)/176). -3/7 What is the value of ((-24)/30)/1*5? -4 What is (3/24*4)/((-8)/16)? -1 What is ((-132)/176)/(12/80)? -5 Evaluate ((-48)/12)/((-50)/(-1)). -2/25 What is the value of 2/5*((-405)/30)/27? -1/5 What is the value of 10/4*50/25? 5 Evaluate ((-1)/((-12)/(-9)))/(3/12). -3 Calculate (6/(-10))/(21/(-20)*2). 2/7 (-24)/81*(-8)/(64/(-12)) -4/9 30/81*(-6)/(-10) 2/9 Calculate ((-75)/(-54))/5*(-16)/(-10). 4/9 Evaluate 18/45*(-1)/(-2). 1/5 ((-12)/(-30))/(18/15) 1/3 Evaluate 24/18*9/6. 2 What is (180/(-24))/(-5)*12/9? 2 What is the value of (((-2)/3)/(7/126))/(-2)? 6 2/(13/182*-4) -7 Evaluate 11/(-55)*10/4*1. -1/2 What is ((-2)/2)/(2/((-66)/(-77)))? -3/7
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when a is divided by z. 0 Let z(l) = -540*l - 9. Let o(c) = -c**2 - 8*c - 8. Let x be o(-1). What is the remainder when z(x) is divided by 38? 37 Let r(m) = m**3 + 10*m**2 - m - 10. Let s be r(-10). Suppose 5*b - 253 - 47 = s. What is the remainder when 357 is divided by b? 57 Let o(w) = 23*w**2 - 50*w + 11. Calculate the remainder when o(-12) is divided by 119. 115 Let w be (-8)/(-64)*0 - 7. Let p = 99 + w. What is the remainder when p is divided by 6? 2 What is the remainder when 7690*(-11)/(-4) - 1233/(-2466) is divided by 33? 28 Let w = -170 - -249. Let m = 3980 + -3961. What is the remainder when w is divided by m? 3 Let v = 333 - 343. Let z(l) = 0*l + 13 - 4*l**2 + 10*l + 6*l**2. Calculate the remainder when z(v) is divided by 23. 21 Suppose 24*b = 136 + 800. Calculate the remainder when 1477 is divided by b. 34 Let t be 21/(-1)*130/(-78). Suppose -5*l + t = -90. Calculate the remainder when 97 is divided by l. 22 Let d be -4 - 3*(-8)/4. Suppose -2*a = -d*w - 7*a + 75, -2*a = -6. What is the remainder when w is divided by (48/(-2))/((-3)/2)? 14 Let b(c) be the first derivative of -24*c**2 + 342*c - 19. What is the remainder when 405 is divided by b(7)? 3 Let a be 7/(-63)*123*-9. Suppose 5*d + 71 = 266. Suppose -7*v = d - a. Calculate the remainder when 28 is divided by v. 4 Let r = -23 + 37. Suppose 28*m - 26*m = 6, -4*c = -5*m - 81. Calculate the remainder when c is divided by r. 10 Let f(m) = m + 1. Let x(l) = -1. Let p(z) = f(z) + 2*x(z). Let o(s) = s + 40. Let d(t) = o(t) - 5*p(t). Calculate the remainder when d(7) is divided by 5. 2 Suppose 0 = 5*q + 110 + 240. What is the remainder when (210/(-84))/((-1)/10) is divided by (8/10)/((-4)/q)? 11 Suppose -6*o - 512 - 160 = 0. Let z = -71 - o. What is the remainder when 77 is divided by z? 36 Let l(y) = y**3 - 2*y**2 + 5*y - 7. Let s be l(3). Suppose w + s + 2 = -h, 0 = 2*h - 4*w + 50. Let k = 62 + h. What is the remainder when k is divided by 14? 13 Suppose 0 = 234*q - 7321 - 2507. Calculate the remainder when 91 is divided by q. 7 Let q = -12 - -174. Let c = q + -147. What is the remainder when c is divided by (-4)/10 + 44/10? 3 Let t be 2*(1 + 852/(-8)). Let g = t + 337. Calculate the remainder when g is divided by 13. 9 Suppose -8*x - 7 = -55. Suppose -x*l + 431 = -3*l - t, 0 = 5*l - 4*t - 716. Suppose -21*g = -17*g - l. What is the remainder when 140 is divided by g? 32 Let i(j) = j**2 - 3*j + 134. Let f be i(23). Suppose f = 7*o + 2*o. Calculate the remainder when 127 is divided by o. 61 Let x = 87 - 83. Suppose 2*n - 133 = p + 1, -x*n + p + 264 = 0. Calculate the remainder when n is divided by 8. 1 Let l(y) = -y**3 + 5*y**2. Suppose -5*h - 5*n + 765 = 0, 0 = 2*h - 4*n + 274 - 616. Calculate the remainder when h is divided by l(3). 15 Let i be (-38)/(-3) + (0 - (-2)/(-3)). What is the remainder when 17 is divided by i/(-2) - 972/(-54)? 5 What is the remainder when 9*73 - 3/((-9)/(-15)) is divided by 167? 151 Let h be 786/(-15) - (-4)/10. Let r = 69 + h. Calculate the remainder when 55 is divided by r. 4 Suppose 7889 = 53*a + 20291. Let u = 19 + -7. What is the remainder when u is divided by 9/72 - a/48? 2 Let j = -49 - -55. Suppose -5*d + j = -39. Suppose 15 = -3*x + 4*x. What is the remainder when x is divided by d? 6 Suppose 3*b - 428 = 5*b. Let d = -200 - b. What is the remainder when 55 is divided by d? 13 Let t = -66 - -69. Let d be (68/(-14) - -6)/((-2)/(-7)). Suppose 7*f + d*v - 30 = 5*f, -4*v + 4 = 0. What is the remainder when f is divided by t? 1 Let a(p) = p**2 - 27*p + 56. Let x be a(25). Suppose 10*k - x - 204 = 0. Suppose 4*z - 223 = k. What is the remainder when z is divided by 7? 5 Let b(k) = -321*k - 4417. What is the remainder when b(-14) is divided by 22? 11 Let g(d) = 5*d**2 + 37*d + 153. Let b(o) = -14*o**2 - 109*o - 461. Let r(f) = 6*b(f) + 17*g(f). What is the remainder when r(32) is divided by 20? 19 Suppose -n - 956 = -5*n. Let s = n + -170. Let w = 2453421 + -2453411. Calculate the remainder when s is divided by w. 9 Suppose 51*c = -0*c + 102 + 1989. What is the remainder when 46 is divided by c? 5 Suppose -4*d + 23 = 2*b + b, 0 = 3*d + 12. Suppose -l = -30 - 60. Let t = -77 + l. What is the remainder when t is divided by b? 0 Let b(q) = -q**3 + 8*q**2 + 2*q - 7. Let t = 217 - 207. Suppose -5*r + t = 0, 2*r + 16 = -10*m + 15*m. What is the remainder when b(8) is divided by m? 1 Let y = -31 - -36. Let s(h) = h**3 - 6*h**2 + 3*h - 4. Let n be s(y). What is the remainder when 62 is divided by (-28)/49 - 302/n? 20 Suppose 0 = 1534*c - 1533*c - 176. What is the remainder when c is divided by 24? 8 Suppose -18*t + 143 + 55 = 0. Let u = 134 + -122. Suppose t*s - u*s + 12 = 0. What is the remainder when 23 is divided by s? 11 What is the remainder when 5 + -13 + 23 + 1865 is divided by 314? 310 Let l(k) = -k**3 - 8*k**2 - 16*k - 4. Let n be l(-3). Calculate the remainder when 12604/23 + (n - -3) is divided by 12. 10 Suppose 8*j = 3*j - 5*q - 5, 0 = -4*j - q - 13. Let i(t) = -2*t + 7. Let x be i(j). What is the remainder when 47 is divided by x/(-2)*(6/15 - 2)? 11 Let o = 5449 + 10999. Suppose -63*z + o = -4909. Calculate the remainder when z is divided by 20. 19 Let n(w) = 17*w**2 - 2*w - 2. Let p = -2 - -4. Suppose 305*a + t = 307*a - 46, -4*t = a - 32. Calculate the remainder when n(p) is divided by a. 14 Let u(c) = c**3 - 6*c**2 + c - 4. Let b be u(6). Let n(l) = 4*l**2 - l - 1. Calculate the remainder when 9/(-18) - 97/(-2) is divided by n(b). 9 Let y(t) = -t**3 + 23*t**2 + 49*t + 28. Let i be y(25). Suppose 5*m = i*n + 19, -3*m + 28*n - 30*n = 0. What is the remainder when 60 is divided by m? 0 Let x(z) = 260*z**2 + 19*z - 6. What is the remainder when x(-2) is divided by 291? 123 Suppose 0 = -13*k + 9470 + 1034. Suppose -17*z = -21*z + k. What is the remainder when z is divided by 51? 49 Suppose -66*k - 1785 - 1455 = -93*k. What is the remainder when 1437 is divided by k? 117 Let p be 3 - (3/2 + 4050/12). What is the remainder when 151 is divided by p/(-8) + 2*-2? 37 Let y = -83 - -90. Suppose -5*w - 3*m + 99 = 0, 3*m = 2*w - 41 - y. What is the remainder when w is divided by 4? 1 Suppose -2*p + 106 = 4*z, 9*p - 13*p - 22 = -z. Calculate the remainder when 148 is divided by z. 18 Suppose -298*g - 85*g + 34561 + 5271 = 0. What is the remainder when 198 is divided by g? 94 Let v = 2490 - 2417. What is the remainder when 240 is divided by v? 21 Suppose 0 = -5*d + 2 + 8. Suppose -20 = -2*p - 4*m, -5*m - 31 = -p - 0*m. What is the remainder when p is divided by d? 0 Let k = 250638 + -250417. Calculate the remainder when k is divided by (-31)/(-4) - (-1)/4. 5 Suppose 4*x = 3*a + 15204, -124*x + 120*x = -4*a - 15204. What is the remainder when x is divided by 3? 0 Suppose -3*z + j = -556, 5*z + 885*j = 882*j + 908. Calculate the remainder when z is divided by 78. 28 Suppose 0 = 4*j + 7 + 9, -5*j = 2*d - 32. Suppose r - 138 = -d. Calculate the remainder when r is divided by 38/(4 + (0 - 3)). 36 Let h(s) be the second derivative of 4*s**3/3 - 13*s**2/2 + 4*s. Let j be h(-7). Let c = -59 - j. What is the remainder when 36 is divided by c? 6 Let f = -1866 + 1118. Let t = 1276 + f. Suppose 9*p - r = 4*p + 649, -3*r - t = -4*p. Calculate the remainder when p is divided by 44. 41 Suppose 0 = i + 5*g - 112 - 233, -5*i + 1590 = -2*g. What is the remainder when i is divided by 102? 14 Let b(f) = 4*f**2 + 202*f - 21. Suppose 0 = 5*v - v - 84. What is the remainder when b(-51) is divided by v? 18 Let f be 3584/40 - (-4)/10. Suppose 3*i + o - 148 = 0, 2*i - 5*o - 130 = -20. Calculate the remainder when i is divided by ((f/(-7))/3)/(6/(-28)). 10 Let g(n) = 2*n**3 - 128*n**2 + 366*n + 26. Calculate the remainder when 4755 is divided by g(61). 23 Let t(z) = 2*z**2 - 9*z + 5. Suppose -2*h + 54 = -5*n - 0*n, -5*n = -h + 17. Let i = h - 32. What is the remainder when 47 is divided by t(i)? 7 Let i(b) = 97*b - 32. Let r be i(5). Let s = r + -97. Calculate the remainder when s is divided by 30. 26 Calculate the remainder when 16143/30 + -14 + (-2919)/(-210) is divided by 34. 28 Suppose 4*q = 5*l + 435, l + 2 = 3*l. Suppose 377 = j - q. Calculate the remainder when j is divided by 8. 7 Suppose -5*r + b + 34 = 0, -4*b = -3*b + 4. Suppose 0 = -5*w - 3*k + 60, r
{ "pile_set_name": "DM Mathematics" }
t l be v(7). Is z less than l? False Suppose 36*u - 38*u + 2 = -c, 0 = -u - 4*c - 17. Which is bigger: -1/38 or u? -1/38 Let w = -302 - -302.021. Which is smaller: w or 2? w Let q = 3 - 1. Suppose -w + 2*a = w + q, -4*w - 3*a - 39 = 0. Let p = w - -7. Which is smaller: 3/13 or p? 3/13 Let c = -32/31 + -365/217. Is c equal to -4? False Let f = -3 + 2.97. Let i = -0.02 - f. Let w = 0.26 - 0.26. Is w less than i? True Let n(s) = -5*s**2 + 199*s + 9. Let m be n(39). Which is greater: m or 163? m Let u = -637/2497 + -4/227. Let o be 5 + 3 + 1 + -5. Suppose o*x + 8 = 4. Which is smaller: x or u? x Let k be 26/(-8) - 2/(-8). Let f = -28 - -35. Suppose -15 + 1 = f*q. Is q equal to k? False Suppose 0*f + 219 = 3*q + 2*f, -f - 228 = -3*q. Is 10 equal to q? False Suppose 0*q - q + 170 = -4*h, 3*q = -3*h - 120. Let b be h/7*2/22. Is -1 bigger than b? False Let p be (2 + (-1652)/830)/(182/(-455)). Does 1 = p? False Suppose -2*r = -4*n - 7*r - 6, 0 = -4*r - 8. Is 2/935 >= n? False Let h(l) = -3*l**2 + 56*l + 4. Let f be h(19). Is -22 smaller than f? True Let b = 0.208 + 11.792. Let g = 4 + -3. Let o = -1.1 + g. Is b less than o? False Let h be 2/3 - (-32)/(-12). Is -21/22 equal to h? False Suppose c = -4*v - 19, -2*c - 26 + 23 = v. Do v and 47 have the same value? False Let s = 43 + -2. Let k = -41.6 + s. Let f = -1.7 + 2. Which is smaller: f or k? k Let k = -261 + 13312/51. Is k at least 1? False Suppose 0 = -3*x - 19 + 4. Let c = -4 + x. Let n be (-135)/(-189)*63/(-6). Which is smaller: n or c? c Let k be (12/56)/((-18)/24). Let g = 38.08 - -0.92. Is g <= k? False Let x(w) = -176*w + 208. Let k be x(1). Which is greater: k or 20? k Suppose n = -2*n + 18. Suppose 0 = 4*u - u + n. Let d = 4 + -5. Which is bigger: d or u? d Suppose i = 0, 3*g - 306 = -5*i + 10*i. Which is smaller: 101 or g? 101 Let o(r) = -r**2 - 6*r + 3. Let h be o(-6). Let y = -29 + 27. Let s(t) = -6*t - 7. Let i be s(y). Which is bigger: i or h? i Let j be 4/6 - (-8811)/189. Let p = 47 - j. Suppose -4*o - 5 = 5*g, 17 = -5*g + 3*o - 23. Do g and p have different values? True Let q be (-1)/((-9)/(-510))*3/(-2). Suppose 5*b + q = 5. Which is greater: b or -15? -15 Let x be (32/(-1) - 4)*-1. Which is smaller: x or 3/5? 3/5 Suppose -5*v - 2*k = 6, v + 2*v + 3*k = -9. Let x(w) = w**3 + w**2 + 10. Let t be x(0). Suppose -3*o + 6 = -o, -h + 4*o - t = 0. Does v = h? False Let t = -1704389/236 - -7222. Is t < 1? True Let g(k) = k + 6. Let u be g(-4). Let d be 21/u*16/372. Let w = d - 216/341. Is 1 at least w? True Let c = -301 + 6019/20. Let j be 7/9 + (-2)/(-9). Is j at most c? False Suppose -4*z = -4*i, 2*i - 6 + 4 = 4*z. Let a = -363 + 1839/5. Let q = a - 23/5. Is q equal to z? False Let p(o) = o**2 - 2*o - 4. Let l be p(4). Let b(a) = -a**3 + 5*a**2 + 9*a - 15. Let i be b(6). Are i and l equal? False Suppose 0 = 10*r - 6*r - 80. Let h = -9 + r. Is 1 greater than or equal to h? False Let x(q) = 5*q - 10. Let d be x(4). Suppose -5*r = -0*r - d. Is r <= -2? False Let y(j) = -2*j - 1. Let w be 12/8 + (-14)/4. Let v be y(w). Suppose v*a + 10 = 5*a + 4*u, -3*u = -3*a - 3. Which is greater: a or 4? 4 Suppose 5 - 21 = -4*h. Let u = -5335 + 5329. Is u not equal to h? True Let o be 0/2*2/(-4). Let f = -29 + 249/11. Let m = 1039/165 + f. Which is smaller: m or o? m Suppose 4*z + 1 = -5*q + 2*q, 4*z = -16. Suppose 5*v - 55 = 3*h, 0*h - 65 = 3*h + 5*v. Let c = h + 24. Which is smaller: q or c? c Let n be 5/43*(-17)/(-19). Let s be 6/688*-62 - 9/(-12). Let i = s - n. Do i and -1 have the same value? False Let g = -347 - -356. Which is greater: g or 99/13? g Let r = 19.25 - 20. Let i = r - 0.25. Is i not equal to -15? True Let w be (1/(-2))/(9/36). Let t be ((-108)/15 - -3) + (-6)/(-30). Is t not equal to w? True Let j(z) = z**2 - 6*z + 1. Let d be j(6). Let i = 2 + -2. Suppose b + d = -i. Which is smaller: 4/9 or b? b Let f = 718 + 622. Do f and 1340 have the same value? True Let u(k) = k + 31. Let h = 4 - 19. Let s be u(h). Is 16 != s? False Let t = 3 - 7. Let x = t - -1. Let v be ((-5 - (-128)/24)/1)/(15/(-171)). Is x != v? True Suppose 152 = -4*n + 40. Let s = -37 - n. Which is bigger: -8 or s? -8 Let b(l) = -l**2 + 12*l - 50. Let j be b(13). Let o be 32/(-12) - -3 - 141/j. Which is greater: 2 or o? o Let u be (-4 - -3) + 3 + 2*8. Suppose -7*f + 52 = -u. Which is smaller: 31/3 or f? f Let m be (-2)/(-6) - 100/318. Let w(n) = n**3 - 13*n**2 + 14*n - 23. Let f be w(12). Which is smaller: f or m? m Let q(o) = o**3 - 10*o**2 + 9*o + 2. Let h be q(9). Suppose -4*n = h*k + 4 + 6, 0 = -3*n - 6. Let a be 35/300 - (-2)/(-8). Which is smaller: k or a? k Let h be -8 + 0 + 3 + 0 + -91. Which is smaller: h or -1? h Let j(d) = 3*d - 16. Let b be j(6). Let y(n) = -4*n**2 - n - 1. Let c be y(b). Is -19 < c? False Suppose -4*a - 2*s = -s - 336, -5*a + 420 = -3*s. Suppose -6*d = -0*d + a. Is -14 not equal to d? False Let u(k) = -k**3 + 8*k**2 + 2. Let s be u(8). Suppose s*h = -h. Suppose h*n + 22 = 3*n + 2*a, 4*n - 30 = -3*a. Are n and 5 equal? False Let m = -536 - -278. Is m greater than -258? False Suppose 5*c + 155 = -5*r, 0 = -c - 2*r - 13 - 13. Let u be (1 + 35/c)*(4 - 5). Which is bigger: u or 0? 0 Let r be (-15)/10*(-8)/246. Suppose -140*i = -145*i + 3*h - 12, -3*h + 12 = -i. Is i bigger than r? False Suppose -3*r + 4 = -r, 4*z = -2*r - 8. Let b be (-1)/(-4)*(-8 - z). Is b greater than -5? True Let j = -97 - -62. Which is bigger: -0.4 or j? -0.4 Suppose 39*i + 16473 = -7122. Which is greater: -604 or i? -604 Let f = 139.5 + -945.5. Which is smaller: f or 1/4? f Let s = -1/296 - 287/2664. Which is bigger: -10 or s? s Suppose 190*d - 194*d = w + 320, 2*w = -d - 647. Which is bigger: w or -325? w Let g = -2/133 + -107/1729. Let r be -4 - (3 + (1 - 2)/1). Let n be 1/(1/4) + 1 + r. Is g at most n? False Let z = -25 + 28. Suppose 8*p - 11 = -z*p. Which is greater: p or -1/13? p Let r = -281041/189 - -1487. Which is greater: -1 or r? r Suppose 0 = -5*h - 2*q + 133, -4*h + 0*q + 2*q + 92 = 0. Suppose -5*b - k + 2*k - h = 0, 2*b - 3*k - 3 = 0. Let p be b*(-4)/(-6) + 5. Is -5/12 not equal to p? True Let q = -33 + 40. Let l be (-33)/q - (-8)/(-28). Let i be -3 + -1 + -2 + 2. Which is greater: i or l? i Suppose 5*d = 50 - 55. Suppose 0*l = 3*l. Suppose -4*t - 8 = 4*c + t, 4*t = l. Is c at least d? False Let y(g) = -g**2 - 8*g - 7. Let u be y(-7). Let r = u + 3. Let l(q) = -q**2 + 2*q + 1. Let z be l(r). Which is smaller: -3/4 or z? z Suppose -12*s + 199 = 43. Are s and 96/7 unequal? True Suppose 3*i - 18 = 27. Suppose i*u - 28 = 17*u. Suppose p - 4*r + 0 = 6, 3*p + 4*r = -62. Is u < p? False Let f = -6 - -3. Suppose 5*b + 2*u - 2 = 0, 18 = -2*b - 4*u + 6. Let y = -4 - b. Which is bigger: y or f? f Suppose 0 = -3*h - 4 - 17. Let t(s) = s + 5. Suppose d - 3*d = 26. Let f be t(d). Which is bigger: f or h? h Let w(g) = -2*g + 55. Let u be w(27). Which is bigger: u or 3? 3 Let r be 5 + -4 - 10/14. Let b = 12.78 + -12.837. Is b less than or equal to r? True Let w = 0.337 - 2.337. Let i = -9 + 8. Let t be (2/(-15))/(i/10). Is t > w? True Let o = -9.08 + 0.08. Suppose -4*b - 3 = -f - 6, -5 = -5*f. Is b < o? False Let v = 97 + -98. Let f be (12/(-3) - v) + 3. Is 1/11 not equal to f? True Let x = -1152 - -1236.9. Let m = x - 85. Let z be (1/2)/(9/6). Which is smaller: z or m? m Let n = -39.7 - -42. Let v = n - 2.2. Are v and -21 equal? False Let x = 9 - 26. Let r = -351 - -352. Does r = x? False Let o = 0.066 + -0.066. Let v = o + -0.2. Is v bigger than 1.1? False Suppose -2*p = -5*z - 1455, -15*p + 10*p = 2*z + 582. Is z < -289? True Let m = -1/504 + -3/56. Which is greater: m or 5? 5 Let o be 3 - 2*((-10)/(-2) - 4). Let n be (-4)/(15 + o) + (-122)/(-8). Are 1 and n non-equal? True Let a(r) = -27*r + 85. Let s be a(4). Which is bigger: s or -21? -21 Let i be -7 + 12 + (1 - 1). Let p be (1/(-2))/(i/(-80)). Let t be ((-21)/(-6))/(4/p). Is 6 smaller than t? True Suppose 2*y + 158 = 2*q, 0 = q + 3 - 2. Let d = y + 81. Let m = -190/9 + 2054/99. Which is smaller: m or d? m Let r(a) = a**2 + 7*a - 8. Let f be r(-8). Which is bigger: f or 4/191? 4/191 Let k be (3/(-6))/(2/(-4)). Is -1/4 greater than or equal to k? False Let z be 2 + 9/((-36)/(-80)). Is 19 less than z? True Let u be -3*3/(-36) - (-7)/(-68). Let d = -1/34 + u. Which is small
{ "pile_set_name": "DM Mathematics" }
46, 73 Put -0.5, -1, 0.5, -67, 4/3 in increasing order. -67, -1, -0.5, 0.5, 4/3 Put 2/5, -0.5, -13318, 3, -2, 2/11 in ascending order. -13318, -2, -0.5, 2/11, 2/5, 3 Put -1, 26, -5, -3, 5, 362 in descending order. 362, 26, 5, -1, -3, -5 Put 5, 1, -2, -3, 4, 23 in decreasing order. 23, 5, 4, 1, -2, -3 Sort -8, -1, -4, 2, 0, 12 in descending order. 12, 2, 0, -1, -4, -8 Sort -2, -8, -4, 1, -0.6 in decreasing order. 1, -0.6, -2, -4, -8 Put -214, -16, -5, -3, 4, 0 in descending order. 4, 0, -3, -5, -16, -214 Sort -231, 5, -29 in descending order. 5, -29, -231 Sort -1, -3/4, 0.2, 93, 2 in descending order. 93, 2, 0.2, -3/4, -1 Put -9, -5, -6, -1, 16 in decreasing order. 16, -1, -5, -6, -9 Put 2399, 4/5, 2/11, 1 in descending order. 2399, 1, 4/5, 2/11 Put 0.4, 4, -1/6, 4154, 5 in increasing order. -1/6, 0.4, 4, 5, 4154 Sort -2/7, 0.2, 7579/2, 0.1, 2/5 in descending order. 7579/2, 2/5, 0.2, 0.1, -2/7 Put -6, -4, -0.5, 3, -0.2332 in increasing order. -6, -4, -0.5, -0.2332, 3 Sort -10, 2, -273, 3 in descending order. 3, 2, -10, -273 Sort 2/17, -0.0098, -1/2, 67 in ascending order. -1/2, -0.0098, 2/17, 67 Put -7, 2, -3, -1502 in increasing order. -1502, -7, -3, 2 Sort 0, 5, 58974, -5 in ascending order. -5, 0, 5, 58974 Sort -255, 1, -14. -255, -14, 1 Put 1/2, 270538, -1/6 in descending order. 270538, 1/2, -1/6 Sort 30, 29, 21, 5. 5, 21, 29, 30 Sort 12, -4, -3, 2, -2. -4, -3, -2, 2, 12 Put -4, -2, -1, -250480, -3 in descending order. -1, -2, -3, -4, -250480 Sort -3, 2/11, 726.1 in decreasing order. 726.1, 2/11, -3 Sort 5, 3, 29, 1, 215, -1. -1, 1, 3, 5, 29, 215 Put 1, 0.3, -2, -1, -0.45 in decreasing order. 1, 0.3, -0.45, -1, -2 Put 5, 1, 3, -15 in descending order. 5, 3, 1, -15 Sort 31, 10, 0, -261, -3. -261, -3, 0, 10, 31 Put -3, -13372, -4, 3, 4 in decreasing order. 4, 3, -3, -4, -13372 Put -4, 1709, 3, 1 in descending order. 1709, 3, 1, -4 Put -3, -2, -285, -1, -5 in decreasing order. -1, -2, -3, -5, -285 Sort 8, -2/5, 68, -22.6 in ascending order. -22.6, -2/5, 8, 68 Sort -172, -1, 179 in increasing order. -172, -1, 179 Sort -124/5, -1, -0.3 in ascending order. -124/5, -1, -0.3 Sort -3, 0, -672, -1 in ascending order. -672, -3, -1, 0 Put -4/9, -390, -5, 2/5 in descending order. 2/5, -4/9, -5, -390 Sort -3, 22/25, -0.3, 2. -3, -0.3, 22/25, 2 Put -1, 3, -4, 2479, -3, 1 in descending order. 2479, 3, 1, -1, -3, -4 Sort -4.7, 0, -4, 1/4, 3/4 in ascending order. -4.7, -4, 0, 1/4, 3/4 Sort 4, 1333, -45, -4/7 in decreasing order. 1333, 4, -4/7, -45 Sort 3, -1196, 2, -5/6 in descending order. 3, 2, -5/6, -1196 Put 10, -5, 22, -6 in decreasing order. 22, 10, -5, -6 Sort 0, 21, 6, 46 in ascending order. 0, 6, 21, 46 Sort 5, 37, 1256 in ascending order. 5, 37, 1256 Put -98, 7, 1, -2, 0 in increasing order. -98, -2, 0, 1, 7 Put -191, -5964, -1 in decreasing order. -1, -191, -5964 Sort -2/7, 96, 7, -0.3 in increasing order. -0.3, -2/7, 7, 96 Put -16, 38, 7, 503, -2, 4 in increasing order. -16, -2, 4, 7, 38, 503 Put 465, -746, 0 in increasing order. -746, 0, 465 Sort 80, 0.4, -1734 in decreasing order. 80, 0.4, -1734 Put -37, 5, 4, -1597 in increasing order. -1597, -37, 4, 5 Put -17, -41, 264 in decreasing order. 264, -17, -41 Put 30, 5, -5, -1, -2 in decreasing order. 30, 5, -1, -2, -5 Sort -7391, 3, -7. -7391, -7, 3 Put 3, 5, 9, -208 in increasing order. -208, 3, 5, 9 Sort 46, -1/7, 0.5, 3, -0.0057 in ascending order. -1/7, -0.0057, 0.5, 3, 46 Put 0.1, -45, 353 in descending order. 353, 0.1, -45 Put -13, 3, 0, 6, -5 in ascending order. -13, -5, 0, 3, 6 Put -0.2, -0.5, 2, 7/19300 in descending order. 2, 7/19300, -0.2, -0.5 Sort 13, -5, 3, -24, 4, -4. -24, -5, -4, 3, 4, 13 Put 31, -7, -890 in descending order. 31, -7, -890 Sort -255, 4, -1, 8. -255, -1, 4, 8 Sort 15, -6, -55, 4, 0, -1 in decreasing order. 15, 4, 0, -1, -6, -55 Put -3, -4, 2303 in increasing order. -4, -3, 2303 Sort -3/11, 177, -213. -213, -3/11, 177 Put -4, 2.048, -0.2, 2, -5 in increasing order. -5, -4, -0.2, 2, 2.048 Put 0, -0.5, -0.31 in descending order. 0, -0.31, -0.5 Put -3, 0, 1, -14269 in decreasing order. 1, 0, -3, -14269 Put 16, 1, -2, 268, -9 in ascending order. -9, -2, 1, 16, 268 Sort 0.1, -917, -0.5, -3, 0.3, 0.5 in ascending order. -917, -3, -0.5, 0.1, 0.3, 0.5 Put -2, -430, -11 in decreasing order. -2, -11, -430 Sort 5, -2, -0.4, 10/7, -1/5, -4. -4, -2, -0.4, -1/5, 10/7, 5 Sort -5, 6, -91, -4 in decreasing order. 6, -4, -5, -91 Put 0.4, 0.87, -0.6, -9 in descending order. 0.87, 0.4, -0.6, -9 Sort 816, 4, 3, -4, -3 in descending order. 816, 4, 3, -3, -4 Sort 0, 47, 12, -26, -4, 2 in descending order. 47, 12, 2, 0, -4, -26 Sort -13, -0.17, 4/3, -0.4, -2/3, 7 in decreasing order. 7, 4/3, -0.17, -0.4, -2/3, -13 Sort -4, -73, 114 in ascending order. -73, -4, 114 Put -6, 364, -4, 2, 5 in decreasing order. 364, 5, 2, -4, -6 Sort 3/7, -8, 2/5, 6, -1/11 in ascending order. -8, -1/11, 2/5, 3/7, 6 Put 312, -70, 6, 5 in increasing order. -70, 5, 6, 312 Put -5, -1/95, -4, -478, 0.11, 2 in ascending order. -478, -5, -4, -1/95, 0.11, 2 Put 156, 48, 16 in ascending order. 16, 48, 156 Put -0.151, -5, -38.6, -3 in decreasing order. -0.151, -3, -5, -38.6 Sort -0.09, 16.9, -2 in decreasing order. 16.9, -0.09, -2 Put -300/13, 2, 3, -3, 0.6, -1 in decreasing order. 3, 2, 0.6, -1, -3, -300/13 Sort -429, -5, -10, -4 in decreasing order. -4, -5, -10, -429 Sort -3/7, -3412, -3, 4/5, -4. -3412, -4, -3, -3/7, 4/5 Sort 22, -1, -4, 194, 3. -4, -1, 3, 22, 194 Put 0.4, -5, 3/5, 4, -1/83 in ascending order. -5, -1/83, 0.4, 3/5, 4 Sort -44, -4351, -7 in ascending order. -4351, -44, -7 Put 2/11, 0, -4, 0.018 in decreasing order. 2/11, 0.018, 0, -4 Sort -8, -28059, 3, -6 in decreasing order. 3, -6, -8, -28059 Sort -1288, -0.1, 514. -1288, -0.1, 514 Sort -5, -0.068, 44. -5, -0.068, 44 Put -403, -6, 13, 3 in decreasing order. 13, 3, -6, -403 Sort 227, 5, 0, -26, -55 in decreasing order. 227, 5, 0, -26, -55 Sort -5, 1, 29, -0.06, -8 in descending order. 29, 1, -0.06, -5, -8 Sort -7, -2, 1764. -7, -2, 1764 Put -172446, -5, -4 in descending order. -4, -5, -172446 Put -0.0292, 34, 4 in increasing order. -0.0292, 4, 34 Put 2, 8, -68, 5, -6 in descending order. 8, 5, 2, -6, -68 Sort -2/5, 1770, 0.1, -1/6, 2, 3 in decreasing order. 1770, 3, 2, 0.1, -1/6, -2/5 Sort -8, 0, -1, -3, -2, 27 in increasing order. -8, -3, -2, -1, 0, 27 Sort -3, 611, 993. -3, 611, 993 Put 5, -31/625, -1.8, -2/7, 4 in ascending order. -1.8, -2/7, -31/625, 4, 5 Sort -4, 1.3542, 0.03. -4, 0.03, 1.3542 Put -2, 4, 83, 0, -1 in decreasing order. 83, 4, 0, -1, -2 Put 0.4, -2, 0.3, -0.4, -28, -140 in ascending order. -140, -28, -2, -0.4, 0.3, 0.4 Sort 1/4, -916, 53, -0.4, -1/4. -916, -0.4, -1/4, 1/4, 53 Sort -1, 6, -5045. -5045, -1, 6 Put 3, -4, -1, 4, 18930, 5 in descending order. 18930, 5, 4, 3, -1, -4 Sort -5, -1, -63413 in ascending order. -63413, -5, -1 Sort -76, 6, -4, 1, 4 in descending order. 6, 4, 1, -4, -76 Sort 1, -6, 3, 79974, -1, 0 in ascending order. -6, -1, 0, 1, 3, 79974 Sort -70, 6, 3, -24 in increasing order. -70, -24, 3, 6 Put 78, 1, 24 in decreasing order. 78, 24, 1 Put -4, -2/1233, 18/11 in descending order. 18/11, -2/1233, -4 Sort 6, -2/9, -3/4, -323, -1, 2/7. -323, -1, -3/4, -2/9, 2/7, 6 Put 5, 689, 74 in decreasing order. 689, 74, 5 Sort 64, 4, -1605, -5. -1605, -5, 4, 64 Put 36, -11, -23 in descending order. 36, -11, -23 Put -116, -1, -0.2, 0.15, -3/7 in increasing order. -116, -1, -3/7, -0.2, 0.15 Sort -9, -1197, 15 in increasing order. -1197, -9, 15 Put -6, -2, -37, -5, 7 in ascending order. -37, -6, -5, -2, 7 Sort 4, 244.31, 5, 2 in descending order. 244.31, 5, 4, 2 Sort -0.2, -3/7, 2, 5.53, 3. -3/7, -0.2, 2, 3, 5.53 Sort 0.6, -62, 1/3, -0.2, -2/5 in descending order. 0.6, 1/3, -0.2, -2/5, -62 Sort -120, 3137, -5, -1 in ascending order. -120, -5, -1, 3137 Sort 1.4, 0.02, -19829 in increasing order. -19829, 0.02, 1.4 Put -4, 121, -45, -47 in decreasing order. 121, -4, -45, -47 Sort 1, -62, -272, -5. -272, -62, -5, 1 Sort -47, 47, -4 in descending order. 47, -4, -47 Put 2, 0.5, 19, 0.3, 117 in increasing order. 0.3, 0.5, 2, 19, 117 Put -5, 7, -647, -0.1 in decreasing order. 7, -0.1, -5, -647 Put 0.9, 179, 1, -5 in descending order. 179, 1, 0.9, -5 Sort 4, 0, 50, 3, -3, -7 in increasing order. -7, -3, 0, 3, 4, 50 Put 4, -119, -1/27,
{ "pile_set_name": "DM Mathematics" }
19. Solve -p*i - 13 = -1 for i. -3 Let f(v) = -2*v**3 + v + 1. Let a be f(-1). Let m be (7 - 1)*(3 + -2). Solve m*g + 20 = a*g for g. -5 Suppose -15*y - 4 = -16*y. Solve -y*a + 6 - 26 = 0 for a. -5 Let n(x) = 3 + 4 + 8 - 14 + 3*x. Let w be n(1). Solve -2*u + 0*u = -w for u. 2 Suppose r = 7*r. Suppose 3*v + x + 4*x - 24 = 0, 0 = -3*v + 4*x - 3. Solve -v*z + r*z = -15 for z. 5 Suppose -9*s - 14 = -50. Solve -17 - s = 7*t for t. -3 Let d be (-15)/5 - (-1 + -4). Solve 6*b - d*b = 20 for b. 5 Suppose 5*x = -5*r - 3 + 48, 37 = 4*x + 3*r. Solve x*o = 13*o + 12 for o. -4 Let i(y) = 4*y - 66. Let o be i(0). Let s = o + 68. Solve 6*c + 16 = s*c for c. -4 Let r(v) = -v**3 + 9*v**2 - 8*v + 7. Let i be (-12)/18 - 26/(-3). Let a be r(i). Let j = 7 - a. Solve 0 = -2*f + 6 - j for f. 3 Suppose p - 12 = 13. Solve 28*z + 12 = p*z for z. -4 Suppose -j + 4 = -4*a + 6*a, -3*j + 12 = -4*a. Suppose h = d - 1, -5*d + j = -h - 9. Solve h*n + 15 = -n for n. -5 Suppose 0*o + 10 = o. Suppose 0*u + 4*l + 120 = 4*u, -2*u + 5*l + 75 = 0. Let r = u - 5. Solve -5*m + o*m = -r for m. -4 Suppose 179*n = 187*n - 160. Solve -j = -5*j + n for j. 5 Let q(r) = r**2 - 3*r - 4. Let a be q(4). Let j be a*4/(-16) + 8. Let y be -10 + j - (-12)/2. Solve 0*t + y = 2*t for t. 2 Let b = -352 + 354. Solve 5 = -3*n + b*n for n. -5 Suppose -2*c = 4*i - 104, -i + 11 = -4*c + 3. Let r = -18 + i. Let f = 9 - r. Solve -4*x = -f*x + 5 for x. -5 Let j = 790 + -780. Solve -j*b - 29 = -9 for b. -2 Suppose x = -5*v - 4*x - 70, -2*v - 52 = -4*x. Let u = v - -8. Let l = -7 - u. Solve l*h - 7*h - 20 = 0 for h. -5 Let t(v) = v**2 - 14*v + 39. Let q be t(10). Let b be (2 - 3 - q)/1. Solve -3*o + 6*o = b for o. 0 Suppose -3*w = -5*w + 4. Let y = -5 + 1. Let t be w/(-2)*y/2. Solve t*x = -0*x for x. 0 Let t be (-8)/(-6)*(7 + -4). Suppose -13 = 27*x - 94. Solve 5 = x*m - t for m. 3 Let q = 18 - 6. Let n = q + -10. Solve n*o - 1 = -3 for o. -1 Let r(d) = d**2 - 6*d + 5. Suppose 39*w + 25 = 44*w. Let f be r(w). Solve f = 3*h + h for h. 0 Let t be (-12)/9*3 - 1. Let u(a) = -a**2 - 2*a + 19. Let k be u(t). Solve k = -4*d - 0*d for d. -1 Let r be 40/3 + -3 + (-15)/(-9). Solve 4*f = -r + 4 for f. -2 Suppose -110*y + 299 + 251 = 0. Solve -c = -y*c + 2*c for c. 0 Let z be (-24 - -25)*(20 + -1). Solve 11 - z = -2*g for g. 4 Suppose 0 = -m - 5*b - 20, 3*b - 4 = -5*m + 4*b. Solve -8*z - 24 + 0 = m for z. -3 Suppose -57 + 78 = 7*t. Solve -9*k = -t*k + 12 for k. -2 Let v(q) = -q**2 - 14*q - 8. Let b be v(-14). Let p be b/((-26)/(-7) + -4). Let w = p + -24. Solve w*y - 11 = 1 for y. 3 Let s(w) = -8*w + 324. Let n be s(39). Solve 9 = -t + n for t. 3 Let h(q) = 4*q + 8. Let m be h(-4). Let d be m/4 + 4 + 1. Suppose 24 = d*c + c. Solve -3*t - 6 = c for t. -4 Let o(l) = l - 1. Let a(i) = -i**2 - 23*i - 36. Let r be a(-21). Let t be o(r). Solve -p + t = 4*p for p. 1 Let n(r) = 5*r**2 - r. Let b be n(1). Suppose -i = b*k - 3, i + 2 + 3 = 0. Solve 0*d + k*d + 2 = 0 for d. -1 Suppose 5*a + 77 = -3*z + 6*z, 5*z - 87 = -2*a. Solve i + z = 15 for i. -4 Suppose 121*o = 119*o, -2*j + 8 = -5*o. Solve -32 = -j*m - 4*m for m. 4 Let q(i) = -5*i + 4*i + 1 + 2 + 4*i. Let r be q(3). Solve 2 = -5*d + r for d. 2 Let s = 29 + -32. Let z be 3 + 5/5*s. Suppose m + m = z. Solve m = 2*f + 3*f + 20 for f. -4 Let a(h) = -h**3 + 7*h**2 - 8*h + 14. Let r be a(6). Solve -2 = r*g - 12 for g. 5 Suppose -386*z + 392*z = 0. Solve z + 8 = -4*j for j. -2 Suppose -5*q + g + 25 = -2*g, 2*g = -q - 8. Let l be q*2 - ((-3 - -6) + -6). Suppose 5*f - 17 = -u, u + 2*f + 13 = 7*f. Solve -u = h - l for h. 5 Let t(a) = a**2 - a - 18. Let u be t(-4). Solve 14 = 4*c + u for c. 3 Suppose -5*m + 28 + 2 = 0. Let u be m/(-18)*(2 - 14). Solve 0 = -u*p + p for p. 0 Suppose -5*f - 64 = -4*k, -6*f - 3*k = -f + 92. Let m = 38 + f. Let w = -14 + m. Solve s = -3*s + w for s. 2 Suppose c - 45 + 16 = -a, 120 = 4*a + 2*c. Solve -8*n = -7 + a for n. -3 Suppose -28 = -4*p + p - i, -36 = -3*p + 3*i. Let j be p/15 - (-86)/6. Solve -b = -6*b + j for b. 3 Suppose 6*x + 7 - 19 = 0. Suppose -4*j + 0*j - 32 = -4*n, -n + x*j = -13. Suppose -2*h = h - 3*a + n, 4*a - 7 = 3*h. Solve 2*t = h*t for t. 0 Suppose -f + 264 = 2*f. Let q = 88 - f. Solve -2*p = -q*p + 8 for p. -4 Let b = -473 - -478. Solve -3*d - b*d - 16 = 0 for d. -2 Let v(x) = -x + 16. Let r be v(16). Suppose 5 = -3*u + 4*u. Let j(g) = g**3 - g + 9. Let l be j(0). Solve -u*n + 2*n + l = r for n. 3 Suppose 2*c - 11 + 1 = 0. Let z be (c/(-2))/(1/(-2)). Let t be 3 - -4 - (-1 + z). Solve -n - 8 = -t*n for n. 4 Let b be 2*(-2)/1*-1. Suppose p + 1 - 8 = -4*t, 0 = -b*t + 5*p + 37. Suppose -4*x = -t*m + 11, 4*x - 1 = 3. Solve 2*j + 3*j = m for j. 1 Suppose c = b + 3, -37 = -3*c - 4*b + 7. Let n be 8/36*-3 + c/3. Solve n*g = -g + 12 for g. 4 Suppose -2*r = -5*m - r + 125, 0 = -4*m - 3*r + 100. Suppose 17*t = 12*t + m. Solve -t*v + 22 = 2 for v. 4 Suppose -k = 134*r - 133*r - 12, 0 = -r - 3*k + 14. Solve 0*n = -r*n + 55 for n. 5 Suppose -5*o + 6 + 17 = 2*u, -2*o + 7 = 3*u. Let b(v) = -6*v - 2. Let y be b(u). Solve -y + 0 = -4*c for c. 1 Let k(v) = 8*v - 1. Let w(m) = -m + 12. Let i be w(5). Let n be k(i). Suppose -2*c + 3*p = -4*c + n, -2*p + 10 = 0. Solve 0 = -6*a + a - c for a. -4 Let s(l) = 4*l**2 + l - 3. Let z be s(1). Solve -z*r + 3*r + 4 = 0 for r. -4 Suppose 7*v - 5*t = 2*v, 0 = -2*v + 4*t + 10. Suppose 3*b - 2*c = -5, -3*b + 4*b - 4 = -5*c. Let m = b - v. Solve -5*j + m = -6 for j. 2 Let b = 10 + -3. Solve 0 = 5*l - b*l - 10 for l. -5 Suppose -j = -4 + 10. Suppose l + l = -3*b - 3, 0 = 4*l + 5*b + 7. Let c = l - j. Solve 4*i = -c + 15 for i. 3 Let j be 4/(-22) + (-64)/11. Let p = j + 9. Solve 0 = p*g + 1 + 2 for g. -1 Let u = 12 - 7. Suppose -i - 32 + u = 5*s, -4*s - 30 = 5*i. Let h be (-19 + s)*(-2)/3. Solve -3*m + h = m for m. 4 Let r(i) = i - 2. Suppose -6 = -z - 0*z. Let n be r(z). Let c be 16/n - 1 - -3. Solve -c*b = -b for b. 0 Let d = -38 + 41. Suppose -d*b - 2*b = 0. Solve b = 2*l + l for l. 0 Let f = 92 + -129. Let k = 37 + f. Solve k = -4*b + b + 6 for b. 2 Let w(i) = -2*i - 13 - 14*i + 15*i. Let a be w(-13). Solve a*c + 5*c = -5 for c. -1 Let i be (44/(-66))/(1/21). Let w = -10 - i. Suppose 0 = 4*g + 5*q - 55, 0 = w*g - 2*g + 5*q - 25. Solve g = -7*r + 4*r for r. -5 Let j(l) = -11*l**3 - 3*l**2 - 7*l - 3. Let f be j(-1). Solve 7*y + 23 = -f for y. -5 Let i = -156 - -185. Suppose 0 = i*f - 31*f + 16. Solve t = -t + f for t. 4 Let p(b) = -b**3 + 11*b**2 + 11*b + 15. Let g be p(12). Suppose -2*l - g*f = -3*l - 8, -5*l - 4*f + 36 = 0. Solve -l*m - 4 = -2*m for m. -2 Let f(r) = 8*r + 8. Let c be f(-15). Let p = c + 118. Solve 7*i = p*i for i. 0 Suppose -4*l + 2 = y, -3*l + l - 4 = -2*y. Suppose -3*r - 2*r + 25 = l. Suppose 2*m = 5*n - n - 2, n + m - r = 0. Solve -n = -t + 3 for t. 5 Suppose -6*k = 946 - 982. Solve -a - 2*a = -k for a. 2 Let n(w) = 8*w - 8. Let o be n(4). Suppose 3*q = -2*h + 40, -q - q + o = 4*h. Solve 2 + q = 4*z for z. 4 Let k(x) = -10*x + 370. Let m be k(35). Solve 0 = -15*v + m*v - 15 for v. 3 Let k(j) = -2*j - 25. Let p be k(-17). Let v = -8 + p. Let q be -3*v/(2 - 5). Solve -5*r = 21 - q for r. -4 Suppose -738 = -10*f - 628. Solve 7*z + 20 = f*z for z. 5 Let u(g) = 66*g + 296. Let c be u(-4). Solve -c*j + 33 = -43*j for j. -3 Let a(s) be the first derivative of -3*s**2/2 - 15*s + 28. Let x be a(-5). Solve -n + x = -3 for n. 3 Let g(s) = -5*s + 4. Let m be g(-4). Suppose 0 = 4*o + 2*h - 24, -6 = 2*o + 4*h - m. Suppose 0 = -i + w + 3, -o*w - 3 = -3*i + 2*i. Solve 5*c - 10 = i*c for c. 5 Let k be 30/40*4 - (2 + 1). Solve k = 7*f - 11*f + 8 for f. 2 Let n(q) = -q**3 - 16*q**2 + 2*q + 34. Let p be n(-16). Solve -5*h + 12 = -p*h for h. 4 Suppose 4*p - 4*x = 12, -5 - 7 = 2*p + 4*x. Solve -7*d - 32 + 32 = p for d. 0 Suppose 3*n - 16 + 7 = 0. Solve -n*c = 2 - 11 for c. 3 Let u be ((-102)/(-85))/(-4 + 66/15). Let i = -1 + -1. Let o be 1 + 2/i - -19. Solve -4 + o = -u*f for f. -5 Suppose 0 = t - 136 + 133. Solve 6*z = t*z for z. 0 Let a = 3 + 0. Suppose a*w + 4 = s + 4*w, 4*s = 5*w - 11. Solve 3*v + s - 7 = 0 for v. 2 Let b be (33 + -33)/(8/(-4)). Solve 4*c + 14*c - 36 = b for c. 2 Suppose 0 = h + 5*s - 58, -5*s = 3*h - 200 + 76. Let w = h + -23. Solve -c + w = c for c. 5 Suppose 15*p + 32 = 19*p. Let o(w) = -w**3 + 7
{ "pile_set_name": "DM Mathematics" }
Suppose -62 = y*k - 278. Let c = -38 + k. What are the prime factors of c? 2, 17 Let b = -58 - -90. What are the prime factors of (-20)/5 + 1 + b? 29 Let i(l) = -l**3 - 4*l**2 + 12*l + 2. Let r be i(-6). Let t(k) = -k**3 + 6*k**2 + 6*k + 3. Let c be t(7). List the prime factors of 14*(c/(-8) + r). 5, 7 Let c = 13 + -15. Let o be -5*c/(20/282). Suppose 5*m - o = -21. What are the prime factors of m? 2, 3 Let v(b) = -b**3 - 4*b**2 - 7*b + 6. Let i(l) = -2*l**3 - 3*l**2 - 6*l + 5. Let n(g) = -4*i(g) + 3*v(g). Let c = 10 + -9. List the prime factors of n(c). 2, 3 Suppose t + u + 3*u = 11, -3*t = 4*u - 17. Suppose j - 2 = t. Suppose -j*o = -o - 100. List the prime factors of o. 5 What are the prime factors of 1/(((-26)/(-63167))/2)? 43, 113 Suppose 3*d - 1728 = 1629. What are the prime factors of d? 3, 373 Suppose -9*k = -4*k + 5*s - 35, 2*k - 2*s = -6. Suppose 225 - 40 = 3*r + k*d, -5*r + 3*d = -321. What are the prime factors of r? 3, 7 Let t = -859 + 1230. What are the prime factors of t? 7, 53 Let s = -3027 - -5093. List the prime factors of s. 2, 1033 Suppose 2*g + 2*i = 50, i - 74 = -3*g - i. List the prime factors of 3568/g - (-6)/(-9). 2, 37 What are the prime factors of (-154)/(-3)*(-102)/(-17)? 2, 7, 11 Let f = 576 + -279. List the prime factors of f. 3, 11 Let s be (-8)/(-5) + 6/15. Let w be 58/(-8)*(1 - 5). Suppose -5*g + 3*x = -33, w = 5*g - s*x + 3*x. What are the prime factors of g? 2, 3 Suppose -5*t = 18 - 148. Let p be 2 + t - 16/(-4). List the prime factors of 2/4 + 1520/p. 2, 3 Suppose -2*f - 3*t + 3 = 0, f + 2*f + 5*t - 4 = 0. Suppose k - 3*k - 430 = -4*a, 0 = f*a + 4*k - 306. What are the prime factors of a? 2, 53 Let s = -201 + 372. Suppose -4*b + 7*b = s. List the prime factors of b. 3, 19 Let s(h) = 500*h - 297. List the prime factors of s(3). 3, 401 Let f(c) = -c**2 - 2*c + 3. Let u be f(-2). Suppose -4*k + 27 = -3*v + 11, 2*v = -u*k + 29. List the prime factors of k. 7 Suppose 3617 + 11887 = 24*p. What are the prime factors of p? 2, 17, 19 Let f be 4 + (-4 - -2) + -4. What are the prime factors of (-196)/f - (1 + -1)? 2, 7 Let s = 326 + 38. What are the prime factors of s? 2, 7, 13 Let y(n) = -n**3 + 5*n**2 - 4*n + 6. Let t be y(5). Let x(i) = i**3 + 14*i**2 - 4*i - 11. List the prime factors of x(t). 3, 5 Let o(m) = 3*m - 27. Let f be o(12). Suppose -40 - f = -v. What are the prime factors of v? 7 Let x(w) = -2*w - 6. Let n be x(-3). Suppose n = -j + 6 - 2. Suppose -j*o = a - 200, 3*o - 5*a - 150 = -2*a. List the prime factors of o. 2, 5 Let s = 10 - 7. Let x = -54 + s. What are the prime factors of (-4 - 8/(-3))*x? 2, 17 Let c be (-25)/(-2) + (-3)/(-6). Suppose 3*x = -4*m - c, 0 = -2*m - m - 2*x - 10. Let u = 40 + m. List the prime factors of u. 2, 3 Let j be (3 - 39/(-3)) + -3. Suppose -3*o - j = -1. Let x = -2 - o. List the prime factors of x. 2 Let t(l) = 4*l + 7. Let p(s) = 11*s + 20. Let k(x) = -3*p(x) + 8*t(x). Let j be k(-13). Let y = j + 19. List the prime factors of y. 2, 7 Let d = -136 - -82. Suppose -5*c + 100 = -60. List the prime factors of (c/24)/((-4)/d). 2, 3 Let h(w) = 5*w - 3. Let c be h(-6). What are the prime factors of c/1*(-1 + (-5 - -3))? 3, 11 Suppose -6*i = 16 + 8. Suppose 12 + 12 = 4*g. List the prime factors of i/8*g + 11. 2 Let z(c) = c**3 + c**2 + 23. Let k(o) = o**2 - 5*o - 6. Let b(w) = -w - 2. Let u be b(-8). Let a be k(u). What are the prime factors of z(a)? 23 Let f(y) = 5*y**2 + 15*y + 64. List the prime factors of f(-11). 2, 3, 7 Let t(u) = -8*u**3 - 12*u**2 + 7*u + 3. Let c(g) = 7*g**3 + 11*g**2 - 8*g - 4. Let d(r) = 7*c(r) + 6*t(r). List the prime factors of d(-6). 2, 19 Let z(m) = -11*m**3 + m**2 + 6. Let p be z(-3). Suppose -2*a - 2*a + p = 0. List the prime factors of a. 2, 3, 13 Let b = 153 - -597. What are the prime factors of b? 2, 3, 5 Let g = -40 + 40. Suppose -z - k + 52 = -g*z, -156 = -3*z + 4*k. List the prime factors of z. 2, 13 Let a = -14 - -17. List the prime factors of (a/((-18)/(-22)))/(19/285). 5, 11 Suppose 1998 = 1615*r - 1612*r. List the prime factors of r. 2, 3, 37 Let w = 6 - -3. Let p = -5 + w. List the prime factors of 142/8 + p/16. 2, 3 List the prime factors of (-6227)/(-5) + (-15)/(-375)*-10. 3, 5, 83 Suppose 4*g = 272 + 32. Suppose -5*x - 4*z = -297, z + 35 = 2*x - g. List the prime factors of (-2)/6 + 2413/x. 2, 3, 7 Let a = -2490 + 5799. List the prime factors of a. 3, 1103 Let d = 46 + -28. Suppose -2*z - d = -154. What are the prime factors of z? 2, 17 Let p(g) = -g**2 + 6*g + 7. Let z be p(7). Let o be 0/(1 + z/2). List the prime factors of 22 + (o + 4)/2. 2, 3 Suppose 2*o - 5*v - 23 = 0, -4*o + 4*v = -5*o - 21. Let t be 2 + 1 + (o - 1). What are the prime factors of -3 + (-2)/t*-6? 3 Suppose 3*y - 9 = -0. Let w be 19/(-6) + y/18. What are the prime factors of 26/(-3)*w/2? 13 Suppose t = -4*t - 155. Let x be 30/4*15*(-36)/(-75). Let k = x + t. List the prime factors of k. 23 Let k(b) = -15*b**3 + 1. Let n be (-3 + 2 + 4)/(-3). List the prime factors of k(n). 2 Let f(w) = -w**3 - 8*w**2 - 3*w - 10. Let c be f(-8). Suppose 5*s = 4 - c. What are the prime factors of 19/(s + -1 + 4)? 19 Let c = 2105 - 1063. What are the prime factors of c? 2, 521 Suppose 0 = -v - 2*l - 4 + 8, -l + 17 = 3*v. Let s = v + -4. Suppose -3*k + 4*j - s*j + 59 = 0, -3*j - 80 = -4*k. List the prime factors of k. 17 Let x(t) = -7*t**3 - 32*t**2 - 7*t - 12. What are the prime factors of x(-7)? 2, 3, 5, 29 Let t(u) = u - 14. Let j be t(17). What are the prime factors of (-676)/(-12) + 2/j? 3, 19 Let r(j) = -j. Let i be r(-8). Suppose h = -0*h - i. List the prime factors of 104/10 - h/(-20). 2, 5 Let q(o) = -o + 13. Let t be q(11). Suppose 0 = 4*g - 2*k - 22, 3*g + 4*k = 13 - t. Let d(s) = 2*s + 6. What are the prime factors of d(g)? 2 Suppose -3*h + 5*t + 6 = 0, -t = 2*h + 6 + 3. Let c be 39*((-8)/h + 0). Suppose 0 = -4*v + 4*q + c, v + 4*q = 32 - 11. What are the prime factors of v? 5 Let s = 1860 + -474. What are the prime factors of s? 2, 3, 7, 11 Let t be (-1)/3 + (-850)/(-3). Suppose -t = -5*r + 177. What are the prime factors of r? 2, 23 Let o(l) = l**2 + 2*l - 23. Let y be o(-6). What are the prime factors of y*-4 - 3465/(-15)? 227 Let s = 15 + -10. Let b(l) be the second derivative of l**4/6 - 7*l**3/6 + 3*l**2 + l + 9. What are the prime factors of b(s)? 3, 7 Let s = -1 - -7. Suppose -3*a + s + 9 = 0. Suppose -k + a*k - 176 = 0. List the prime factors of k. 2, 11 Let m(w) be the third derivative of w**6/120 + w**5/5 - 2*w**4/3 + 8*w**3/3 - 2*w**2. Let d(t) = -11*t - 79. Let n be d(-6). What are the prime factors of m(n)? 5, 11 Suppose -4*x + 2708 = -2312. What are the prime factors of x? 5, 251 Let j(q) be the third derivative of q**7/1680 - q**6/720 - q**5/15 - 3*q**2. Let f(t) be the third derivative of j(t). List the prime factors of f(11). 2 Let f(k) = -5*k**2 - 35*k - 31. Let b(s) = s**2 + 9*s + 8. Let o(n) = 9*b(n) + 2*f(n). List the prime factors of o(7). 2, 19 Suppose 128571 + 25386 = 57*d. What are the prime factors of d? 37, 73 Let q(p) = 481*p - 470. What are the prime factors of q(6)? 2, 151 Let c = 1542 + -450. List the prime factors of c. 2, 3, 7, 13 What are the prime factors of ((-168)/210)/(-1*(-2)/(-800))? 2, 5 Suppose 0 = 5*h + h - 198. Let w = h - 22. What are the prime factors of w? 11 Suppose 41 = j - 11. What are the prime factors of (-143 + 1)/(j/12 + -5)? 3, 71 Suppose -14*d + 9886 = 1164. What are the prime factors of d? 7, 89 Let p = -13 - -18. Suppose p*q - 725 = -3*j + 340, -1045 = -5*q + j. Suppose 0 = 4*i + 34 - q. What are the prime factors of i? 2, 11 Let q = 3 - 2. Let w(z) = 160 - 315 + 154 + 40*z. What are the prime factors of w(q)? 3, 13 Let n(a) = a**2 + a + 13. Let k(u) = 2*u**2 + u + 27. Let t be -3 - (-2 - 2) - 3. Let r(x) = t*k(x) + 5*n(x). List the prime factors of r(-5). 3, 7 Let b(o) be the third derivative of -o**4/4 + o**3/6 - 3*o**2. Let u be b(-1). Suppose -u*s + 12 = -9. What are the prime factors of s? 3 Let j = -34 - -36. Suppose -j*a - 4 = -3*r, -3*a = 4*r + 2*a - 36. What are the prime factors of r? 2 Let u = 230 - 133. List the prime factors of u. 97 Suppose -x = -3*k - 5*x + 1383, 480 = k - 5*x. List the prime factors of k. 3, 5, 31 Let m = 4 + -7. Let i be (18/21)/(m/2478). List the prime factors of (-3)/5 - i/3
{ "pile_set_name": "DM Mathematics" }
v(r) = 3*r**2 + 15. Let o(i) = -5182*i**2 - 8071. Let u(m) = -o(m) + 2*v(m). What is the derivative of u(a) wrt a? 10376*a Suppose 13*w + 11*w - 2448 = 0. What is the derivative of -4*c**2 + 5*c**2 + 8 - 34*c**3 - w*c**3 + 95 wrt c? -408*c**2 + 2*c Let b be (-1 - -7)/(455/(-238) - -2). Find the third derivative of -119*t**2 + b*t**5 + 2 + 59*t**2 + 62*t**2 wrt t. 4080*t**2 Let q(w) = -8*w + 2. Let g be q(-1). Suppose -g*m = -11*m + 2. What is the second derivative of 5*j**m + 7*j**2 + 2*j - 8*j wrt j? 24 Suppose 0 = i + 4*q - 15, -32 + 5 = -5*i - 4*q. Differentiate -5*d**3 - 72 + 6*d**3 + i*d**3 + 2*d**3 wrt d. 18*d**2 Let q(l) = -964*l**2 - 916*l + 36. Let m(t) = 966*t**2 + 917*t - 30. Let w(x) = -6*m(x) - 5*q(x). Find the second derivative of w(h) wrt h. -1952 Let n(j) be the third derivative of 37/6*j**3 - 11/24*j**4 + 0*j - 18*j**2 + 0. What is the first derivative of n(k) wrt k? -11 Let m(h) be the second derivative of -163*h - 119/12*h**4 + 0*h**3 + 0*h**5 - 8/15*h**6 + 0 + 0*h**2. Find the third derivative of m(p) wrt p. -384*p Let r(i) be the second derivative of i**8/14 - 121*i**7/42 - 259*i**4/6 - 1078*i + 2. Find the third derivative of r(f) wrt f. 480*f**3 - 7260*f**2 Suppose 77 = -47*l + 641. Let z(i) be the first derivative of -28 - l*i + 17/2*i**2. What is the first derivative of z(g) wrt g? 17 Let z(q) be the second derivative of 1/10*q**5 + 64*q + 5/3*q**6 + 0 + 0*q**4 + 53*q**2 - 1/6*q**3. What is the second derivative of z(p) wrt p? 600*p**2 + 12*p Find the first derivative of 4*q**2 - 192335 - 4*q**2 + 4*q**2 + 8*q**4 + 196017 - 2*q**2 - 8*q**3 wrt q. 32*q**3 - 24*q**2 + 4*q Let g = -4 + 8. Find the second derivative of 0*d**5 + 0*d**4 + 39*d**5 + 0*d**g - 37*d wrt d. 780*d**3 Let j(r) be the second derivative of r**8/28 + 1145*r**7/42 + 7109*r**4/12 + 10*r - 31. Find the third derivative of j(i) wrt i. 240*i**3 + 68700*i**2 What is the first derivative of -937 - 2*r**2 - 2454 + 360*r + 384*r - 211*r + 691 wrt r? -4*r + 533 Suppose 4*o = -230 + 238. What is the third derivative of 0*l**2 + 31*l**3 + 1 + 0*l**3 + 28*l**3 + 3*l**o wrt l? 354 Suppose -31 = 10*x + 59. Let u be (-42)/x + (-4)/6. What is the second derivative of -m**4 + 49*m**4 - 20*m**4 - 5*m**u - 16*m wrt m? 276*m**2 Suppose 4*b = d - 1619, 0 = b - 0 - 5. What is the second derivative of 112*o - d + 59*o**4 + 1639 wrt o? 708*o**2 Let x(t) = -518*t**3 + 9*t**2 + 9*t + 760. Let i(q) = 1037*q**3 - 21*q**2 - 21*q - 1520. Let c(h) = 3*i(h) + 7*x(h). Differentiate c(j) with respect to j. -1545*j**2 Let g(i) be the first derivative of 0*i**5 + 0*i**3 + 0*i**4 - 45*i**2 + 0*i - 43/2*i**6 - 22. What is the second derivative of g(z) wrt z? -2580*z**3 Let v(q) = q**3 - q**2 - q. Let s = -164 + 165. Let x(d) = d**3 + 6*d**2 - 27*d. Let u(m) = s*x(m) + 5*v(m). Find the third derivative of u(l) wrt l. 36 Suppose 30*w - 25 = 65. Let q(o) be the third derivative of -19/6*o**w - 6*o**2 + 0 + 5/12*o**4 + 0*o. What is the derivative of q(r) wrt r? 10 Let o(m) be the first derivative of 229*m**2/2 - 640*m - 894. What is the first derivative of o(q) wrt q? 229 Let m(x) = -23*x**3 + 31*x**2 - x + 250. Let u(v) = -24*v**3 + 31*v**2 - v + 248. Let p(k) = -3*m(k) + 2*u(k). Find the second derivative of p(r) wrt r. 126*r - 62 Let m(b) be the first derivative of 3*b**7/40 - 7*b**5/20 - 7*b**3/3 + 58. Let x(z) be the third derivative of m(z). Find the second derivative of x(h) wrt h. 378*h Let q(v) be the third derivative of 151/6*v**3 + 0*v + 0 - 43/12*v**4 - 36*v**2. What is the derivative of q(w) wrt w? -86 Let i(y) be the second derivative of -8*y - 51/4*y**4 + 0*y**2 + 0 - 41/3*y**3. What is the second derivative of i(c) wrt c? -306 Let d = 4287 + -1924. Let g = -1656 + d. What is the first derivative of -9 - 3 - 711*o**2 + g*o**2 wrt o? -8*o Let t(q) be the first derivative of 1/24*q**4 + 8/3*q**3 + 0*q + 11/2*q**2 - 4. Let k(a) be the second derivative of t(a). Differentiate k(p) wrt p. 1 Let m(v) be the first derivative of 0*v**3 + 52 + 12*v**4 + 0*v**5 - 1/2*v**6 - 9*v - 2*v**2. What is the second derivative of m(d) wrt d? -60*d**3 + 288*d Let b be (-28)/10 + 3 + 36/20. What is the third derivative of 42*f**6 + 37*f**b - 17*f**6 + 2*f**4 - 59*f**6 wrt f? -4080*f**3 + 48*f Let k(g) = 3*g**2 - 3*g. Let a(y) = -93*y**2 + y + 313. Let n(o) = a(o) + k(o). What is the first derivative of n(j) wrt j? -180*j - 2 Suppose 4*k + 10*q = 7*q + 133, -5*q - 107 = -3*k. What is the third derivative of 67*p**2 + 18*p**5 + 38*p**2 + 20*p**2 + 65*p**5 - k*p**2 wrt p? 4980*p**2 Let k(x) = -x**2 + x - 1. Let p(t) = 87*t - 9 - 21*t**2 - 184*t + 94*t. Let r(n) = -4*k(n) - p(n). What is the derivative of r(j) wrt j? 50*j - 1 Let w(y) be the third derivative of -y - 23/8*y**4 + 56*y**2 + 0 + 46/3*y**3. What is the first derivative of w(z) wrt z? -69 Let k(v) be the second derivative of 4639*v**5/20 + v**4/4 - 7*v**2/2 - 1185*v - 1. Find the third derivative of k(s) wrt s. 27834 Suppose -517 = -13*b - 114. What is the third derivative of -11*c**6 - 506*c + 506*c + 3*c**3 - 11*c**2 + 1 + b*c**2 wrt c? -1320*c**3 + 18 Let g(n) be the third derivative of -2147*n**6/40 - 1042*n**3 - 3628*n**2. Differentiate g(s) with respect to s. -19323*s**2 Let b(j) be the second derivative of -187*j**5/10 + 2*j**3/3 + 30*j**2 + 258*j. What is the second derivative of b(z) wrt z? -2244*z Let i(v) = -3*v - 25. Let r be i(-10). Suppose 2 = -q + r. Differentiate -q*p**4 + 3*p**4 + 4 - 9 + 10*p**4 wrt p. 40*p**3 Let v(z) be the second derivative of z**4/12 + 2*z**3/3 - 7*z**2/2 - 21*z. Let q be v(-7). What is the derivative of 8 - 1 - q + 6*i - 13 wrt i? 6 Let l(x) = 6*x + 53. Let v be l(8). What is the second derivative of 3*b - 47*b - 102 + b**3 + 0*b**4 + v + 3*b**4 wrt b? 36*b**2 + 6*b Let t(v) = 31*v**3 - 243*v**2 + 8*v + 761. Let o(n) = 47*n**3 - 364*n**2 + 13*n + 1149. Let z(i) = 5*o(i) - 8*t(i). Find the second derivative of z(r) wrt r. -78*r + 248 Let w = 14 - 10. Let y(l) = -10*l - 57. Let b be y(-7). What is the second derivative of w*t - 16*t**3 + b*t - t wrt t? -96*t Suppose 5*h - 15 = -5*s, -h + 6*h - 4*s - 15 = 0. Let w be 5*(17 - 820/50). What is the third derivative of 33*t**w - 19*t**3 + t**h - t**3 + 12*t**2 wrt t? 84 Let d(l) be the first derivative of -10*l**4 - 8*l**3/3 - 16*l**2 + 20. What is the third derivative of d(a) wrt a? -240 Let r(i) = -12*i**2 - 148*i - 22. Let q be r(-12). What is the derivative of -34 + 82*o**4 - 31 + q*o**4 - 14*o**4 wrt o? 376*o**3 Find the third derivative of -557*m**2 + 1216*m**3 + 514*m - 261*m - 253*m wrt m. 7296 Let k(x) be the third derivative of 21/2*x**3 + 61/30*x**5 - 1/24*x**4 + 0*x + 0 + 0*x**6 - 1/210*x**7 - 209*x**2. Find the second derivative of k(l) wrt l. -12*l**2 + 244 What is the third derivative of -16*b**2 - 10*b**3 + 18*b**2 + 25*b + 22*b**4 - 43*b + 13 wrt b? 528*b - 60 Let t(o) be the second derivative of 173*o**5/5 + 153*o**4/4 + o**2/2 + 2*o - 438. Find the third derivative of t(f) wrt f. 4152 Let b(i) = -98*i - 8. Let n be (-2)/(2/(-8)*-4). Let r be b(n). Find the second derivative of -93*a**4 - 95*a**4 + r*a**4 - 9*a**5 - 19*a wrt a. -180*a**3 Let u(g) = -5*g**3 + 47*g**2 + 202*g + 1. Let z(h) = -3*h**3 + 2*h**2 - h + 1. Let s(n) = -u(n) + z(n). What is the second derivative of s(b) wrt b? 12*b - 90 Suppose -3*y + 16*x + 98 = 21*x, -184 = -5*y + 2*x. What is the third derivative of -y*z**3 + 12*z**3 - 6*z**3 - 58*z**2 wrt z? -180 What is the derivative of -953*y**2 - 1069 + 174*y**2 - 242 + 332*y**2 wrt y? -894*y Let k = 163 + -109. Differentiate 176 + 78*a - k - 38 with respect to a. 78 Let i(r) be the third derivative of -r**6/120 + 467*r**5/60 - r**4/12 - 13*r**3 + 5*r**2 - 12. What is the second derivative of i(q) wrt q? -6*q + 934 What is the third derivative of -55159*a**3 + 1 + 55160*a**3 + 98*a**4 - 115*a**4 + 38*a**5 + 4185*a**2 wrt a? 2280*a**2 - 408*a + 6 Let k(d) be the third derivative of -47*d**6/12 - 145*d**4/12 + 327*d**2. Find the second derivative of k(y) wrt y. -2820*y Let u(v) be the third derivative of -v**7/105 + 539*v**6/120 - 1705*v**3/6 - 22*v**2 - 13*v. Differentiate u(b) wrt b. -8*b**3 + 1617*b**2 Let u(b) be the first derivative of -53*b**7/840 - 31*b**4/8 + 8*b**3 + 1. Let i(o) be the third derivative of u(o). What
{ "pile_set_name": "DM Mathematics" }
, y: 6}. What is prob of sequence yo? 15/136 Two letters picked without replacement from pepppdvpdpvppxo. Give prob of sequence od. 1/105 Four letters picked without replacement from ooooooooo. What is prob of sequence oooo? 1 Calculate prob of sequence fmtk when four letters picked without replacement from mtfttsmvstttkkssv. 1/2380 Calculate prob of sequence nhzm when four letters picked without replacement from mjhzn. 1/120 What is prob of sequence svz when three letters picked without replacement from {v: 2, s: 4, z: 1}? 4/105 What is prob of sequence ni when two letters picked without replacement from jcncjciiijinjjcnj? 3/68 What is prob of sequence keek when four letters picked without replacement from gkeekekkekbbbbkege? 5/408 Calculate prob of sequence jjo when three letters picked without replacement from jojjjjjjjjjjjjjjjjj. 1/19 Four letters picked without replacement from wwgzpgzcwgwwwwwgzzcw. Give prob of sequence wwcz. 8/1615 What is prob of sequence rag when three letters picked without replacement from agrmggggr? 5/252 Two letters picked without replacement from glbllblrlglgflbqfq. Give prob of sequence bg. 1/34 What is prob of sequence uc when two letters picked without replacement from zuucu? 3/20 Two letters picked without replacement from krrkkkkrxir. Give prob of sequence rx. 2/55 What is prob of sequence oq when two letters picked without replacement from {q: 7, o: 4}? 14/55 What is prob of sequence dd when two letters picked without replacement from ddd? 1 Two letters picked without replacement from szwzcskowssozsz. Give prob of sequence ko. 1/105 Three letters picked without replacement from {j: 4, q: 10}. Give prob of sequence qjq. 15/91 Two letters picked without replacement from {l: 2, i: 1, y: 2, q: 6}. What is prob of sequence lq? 6/55 Three letters picked without replacement from {s: 1, l: 1, u: 1, t: 4, y: 4}. What is prob of sequence lut? 2/495 Calculate prob of sequence kll when three letters picked without replacement from lqqqkqlqqkklqlkkqqkq. 1/95 Two letters picked without replacement from {y: 4, z: 1, r: 1, c: 1, l: 1}. Give prob of sequence yc. 1/14 Four letters picked without replacement from {t: 4, i: 7, e: 3, x: 1, y: 3}. What is prob of sequence ittx? 7/6120 Calculate prob of sequence oi when two letters picked without replacement from iiiiyyooi. 5/36 What is prob of sequence tbl when three letters picked without replacement from {t: 13, b: 2, l: 5}? 13/684 Three letters picked without replacement from xvvxvvvqxqqq. What is prob of sequence xqq? 3/110 What is prob of sequence lvf when three letters picked without replacement from {v: 3, y: 4, l: 1, f: 2, j: 1}? 1/165 What is prob of sequence sss when three letters picked without replacement from isiissi? 1/35 Three letters picked without replacement from nhgnnhneege. Give prob of sequence een. 4/165 Four letters picked without replacement from peeepepeeepp. What is prob of sequence eepe? 35/396 Two letters picked without replacement from {d: 1, w: 2, k: 4, o: 6, v: 2, t: 3}. What is prob of sequence kt? 2/51 Two letters picked without replacement from {v: 5, t: 1, z: 2, w: 2, l: 1, h: 5}. What is prob of sequence hv? 5/48 Calculate prob of sequence ef when two letters picked without replacement from {x: 5, o: 2, e: 3, f: 5, k: 4}. 5/114 Two letters picked without replacement from {o: 1, t: 3, z: 6, l: 1, a: 2}. Give prob of sequence to. 1/52 Four letters picked without replacement from mwammhvvhmwa. Give prob of sequence hwvv. 1/1485 Calculate prob of sequence rqkq when four letters picked without replacement from {r: 2, b: 1, q: 13, k: 1}. 13/2380 Two letters picked without replacement from {c: 10}. Give prob of sequence cc. 1 Calculate prob of sequence imhm when four letters picked without replacement from {h: 2, r: 3, m: 3, i: 2, z: 1, b: 1}. 1/495 Two letters picked without replacement from dgggggdgggddbdbdggg. What is prob of sequence dg? 11/57 Two letters picked without replacement from qmqupqbuqb. What is prob of sequence uu? 1/45 Calculate prob of sequence qb when two letters picked without replacement from {r: 4, b: 1, a: 1, c: 4, q: 2, t: 3}. 1/105 What is prob of sequence oa when two letters picked without replacement from ioaiinoanaoiaainina? 1/19 Calculate prob of sequence si when two letters picked without replacement from {s: 1, g: 2, b: 1, i: 1, k: 2}. 1/42 What is prob of sequence qb when two letters picked without replacement from bgqgqbgbggagygagggx? 1/57 Two letters picked without replacement from {r: 1, n: 2, h: 2}. Give prob of sequence hh. 1/10 Three letters picked without replacement from {r: 7, a: 5, w: 5, g: 1}. Give prob of sequence gww. 5/1224 What is prob of sequence zv when two letters picked without replacement from {v: 1, z: 1, h: 2}? 1/12 Calculate prob of sequence rs when two letters picked without replacement from {b: 2, r: 7, h: 4, q: 1, s: 2}. 7/120 Four letters picked without replacement from {f: 2, c: 3, e: 5}. Give prob of sequence ccce. 1/168 What is prob of sequence doss when four letters picked without replacement from {g: 1, o: 2, d: 1, k: 5, x: 1, s: 5}? 1/819 Three letters picked without replacement from qtqtjqqqqtqjqqqtjq. What is prob of sequence jtt? 1/136 Three letters picked without replacement from {v: 3, x: 1, g: 3, f: 3}. What is prob of sequence fgg? 1/40 Four letters picked without replacement from {j: 1, a: 2, n: 1, o: 1, p: 2, v: 1}. Give prob of sequence jnop. 1/840 Calculate prob of sequence cb when two letters picked without replacement from ccbbbbcdbcx. 2/11 Four letters picked without replacement from rrttatrzart. What is prob of sequence trar? 2/165 What is prob of sequence tqu when three letters picked without replacement from {t: 3, q: 1, w: 3, v: 10, u: 3}? 1/760 What is prob of sequence mp when two letters picked without replacement from {m: 6, p: 3, q: 1, w: 7}? 9/136 Calculate prob of sequence mmmm when four letters picked without replacement from {m: 9, y: 3, r: 4}. 9/130 What is prob of sequence cp when two letters picked without replacement from pcqlcqlcpqqlpp? 6/91 Two letters picked without replacement from iiziziii. What is prob of sequence ii? 15/28 Three letters picked without replacement from ddggggggggdgddgggdd. What is prob of sequence ddg? 28/323 Two letters picked without replacement from hsssvguvsvvvvs. Give prob of sequence hs. 5/182 What is prob of sequence bpbb when four letters picked without replacement from ppbbbb? 2/15 Calculate prob of sequence nw when two letters picked without replacement from {n: 1, w: 2, c: 1}. 1/6 What is prob of sequence hvh when three letters picked without replacement from {h: 3, v: 8}? 8/165 What is prob of sequence xm when two letters picked without replacement from exxmxxmmmx? 2/9 What is prob of sequence lxxl when four letters picked without replacement from xlzlxxzz? 1/140 Three letters picked without replacement from {n: 2, q: 2, k: 3, c: 5, m: 3}. Give prob of sequence mnq. 2/455 Calculate prob of sequence eflf when four letters picked without replacement from pnpeepfmnnl. 0 Calculate prob of sequence pmz when three letters picked without replacement from mmszhzusp. 1/126 Two letters picked without replacement from {g: 2, w: 18}. Give prob of sequence gg. 1/190 What is prob of sequence yyk when three letters picked without replacement from kkyyykyvukuyvvv? 8/273 What is prob of sequence yrc when three letters picked without replacement from {y: 2, c: 1, r: 7}? 7/360 Three letters picked without replacement from {c: 1, z: 6, d: 1, l: 1, w: 3, f: 1}. What is prob of sequence wwz? 3/143 Two letters picked without replacement from {h: 6, k: 3, s: 1, a: 2, c: 1}. Give prob of sequence kh. 3/26 Four letters picked without replacement from {n: 1, m: 3, b: 3}. What is prob of sequence mbmb? 3/70 Two letters picked without replacement from lillllslellll. What is prob of sequence li? 5/78 Four letters picked without replacement from yvvvyyyyvyvvyyyyyy. Give prob of sequence yyyy. 11/68 Four letters picked without replacement from {a: 1, q: 2, d: 1, t: 1}. What is prob of sequence tdqt? 0 Calculate prob of sequence wdns when four letters picked without replacement from {d: 4, w: 4, n: 2, s: 10}. 8/2907 Calculate prob of sequence meee wh
{ "pile_set_name": "DM Mathematics" }
*z**4 Let c(r) be the second derivative of r**4/12 - 7*r. Let l(i) = -2*i. Determine l(c(t)). -2*t**2 Let c(p) = -11*p**2. Let r(z) be the second derivative of z**4/12 + z + 4. What is r(c(u))? 121*u**4 Let g(c) = 7*c**2. Let t(n) = 3*n - 4. Let x(d) = -4*d + 5. Let b(w) = 5*t(w) + 4*x(w). Give g(b(o)). 7*o**2 Let r(j) = -2*j**2. Let f(x) = -x**2 - x - 1. Let d(m) = -11*m**2 - 4*m - 4. Let i(a) = d(a) - 4*f(a). Calculate r(i(n)). -98*n**4 Let m(w) = -w. Let t(y) = y**2 - 4*y. Suppose 8 = 5*o - 2*o - 4*b, 6 = 2*o - 2*b. Let d(x) = o*m(x) - t(x). Let f(h) = 16*h**2. Calculate f(d(v)). 16*v**4 Let p(k) be the first derivative of 1/3*k**3 + 0*k**2 + 0*k - 3. Let r(u) = 2*u. Determine p(r(m)). 4*m**2 Let n(z) = 5*z**2 - 4*z. Let g(j) = -11*j**2 + 9*j. Let u(a) = 4*g(a) + 9*n(a). Let q(w) = -w. What is u(q(m))? m**2 Let y(t) = 3*t - 490. Let b(f) = f**2. Give y(b(v)). 3*v**2 - 490 Let f(r) be the first derivative of -2*r**3/3 + 5. Let q(b) = 4*b**2. Let i(a) = -20*a**2. Let o(h) = -3*i(h) - 16*q(h). What is f(o(d))? -32*d**4 Let j(c) = -c**2 - 2*c. Let r(f) = -3*f**2 - 5*f. Let o(h) = -10*j(h) + 4*r(h). Let u(b) = -2*b**2 + 8. What is u(o(n))? -8*n**4 + 8 Let h(f) = -20*f**2 + 1. Let y(q) = 6*q. What is h(y(n))? -720*n**2 + 1 Let l(c) be the second derivative of c**3/3 + 2*c. Let d(p) = -20*p - 21*p**2 + 3*p + 17*p. Calculate d(l(j)). -84*j**2 Let q(m) = 6*m**2. Let b(k) = -147*k + 7. Calculate q(b(v)). 129654*v**2 - 12348*v + 294 Let r(u) = -29*u**2 - 3*u. Let d(y) = 12*y - 2. Give d(r(h)). -348*h**2 - 36*h - 2 Let c(y) = -y**2 - 4*y**2 + 0*y**2. Let v(z) be the second derivative of z**4/12 - z. Give v(c(m)). 25*m**4 Let f(x) = x. Let a(j) = 15*j**2 - 15*j**2 + 11*j**2. Give a(f(b)). 11*b**2 Let u(c) = 4*c. Let g(p) = -p - 1. Let x(i) = i + 1. Let y(b) = 3*g(b) + 2*x(b). Let q(s) = -1 + 6*s + 2 - 4*s. Let d(v) = -q(v) - y(v). What is u(d(a))? -4*a Let k(g) = -g**2. Let p(a) = a + 3. Let j(i) be the first derivative of 1 + 2*i + 1/2*i**2. Let f(w) = -3*j(w) + 2*p(w). What is f(k(t))? t**2 Let b(t) be the second derivative of 0 + 2*t - 1/12*t**4 - t**2 + 0*t**3. Let z(s) be the first derivative of b(s). Let r(w) = 2*w**2. Determine r(z(m)). 8*m**2 Let z(g) be the second derivative of 4*g + 0 + 0*g**2 - 1/6*g**4 + 0*g**3. Let c(q) = 7*q**2. Determine c(z(y)). 28*y**4 Let k(v) = 8*v. Let d(l) = 33*l. Calculate k(d(p)). 264*p Let d(i) = -9*i**2. Let y(l) = 184*l + 2. Determine d(y(r)). -304704*r**2 - 6624*r - 36 Let o(m) = -m. Let q(u) = 11*u - 4 - 7 + 5. Let j(i) = i - 1. Let s(n) = 6*j(n) - q(n). Give s(o(c)). 5*c Let v(f) = 157*f**2. Let n(u) = -u + 35. Calculate v(n(z)). 157*z**2 - 10990*z + 192325 Let q(l) = l. Let b(m) = m + 1. Let f(o) be the second derivative of o**4/2 - 2*o**3 - 6*o**2 + 2*o. Let p(t) = 12*b(t) + f(t). What is p(q(w))? 6*w**2 Let a(m) = m. Suppose 4*u = -2*q + 14, -5*q - 3 - 2 = 0. Let n(v) = 2*v - 3*v + u*v. What is n(a(f))? 3*f Let y(w) be the third derivative of 7*w**4/24 - 32*w**2. Let o(f) = 5*f. Determine o(y(i)). 35*i Suppose 0 = 5*k - 3 - 7. Let q(c) = 3*c + 2. Let f be q(k). Let u(n) = n. Let l(t) = 2*t. Let m(o) = f*u(o) - 5*l(o). Let b(y) = -y. Give b(m(v)). 2*v Let m(x) = x**2 - 1. Let t(k) = 2. Let h(a) = -2*m(a) - t(a). Let l(d) = 3 - 3 - 5*d. Let p(r) = 90*r. Let u(z) = -110*l(z) - 6*p(z). What is h(u(f))? -200*f**2 Let d(n) = -9*n**2 + 14*n**2 + 17*n**2. Let i(b) = -b**2. Determine d(i(g)). 22*g**4 Let k be (3/(-4))/((-18)/48). Let j(q) = q + 2. Let b be j(3). Let l(u) = 8*u + b*u**k - 8*u. Let g(p) = p**2. What is l(g(h))? 5*h**4 Let t(l) = 3*l**2. Let p(z) = -30*z**2 + 2. Determine p(t(i)). -270*i**4 + 2 Let f(d) = 10*d**2. Let b(v) = -3*v**2 + 3*v**2 - 2*v**2. Determine f(b(r)). 40*r**4 Let z(u) = -2*u**2. Let b(m) = -13*m. Calculate b(z(r)). 26*r**2 Let i(l) = -82*l. Let z(t) = -21*t + 2*t**2 + 10*t + 11*t. Give i(z(c)). -164*c**2 Let u(z) = z. Let t(k) = -401*k. Give t(u(j)). -401*j Let u(c) = -4*c**2. Let b(v) = 33*v**2 + 2. Determine b(u(r)). 528*r**4 + 2 Let q(z) = z**2 - 5*z**2 - z**2. Let n(f) = 2*f. Let d(i) = -8*i. Let t(j) = 6*d(j) + 22*n(j). Determine t(q(h)). 20*h**2 Let c(q) be the third derivative of -q**5/60 + q**2. Suppose -a - 32 = -5*t, -3*a - 7 = -t + 5. Let z(r) = t*r - r**2 - 6*r. What is z(c(u))? -u**4 Let w(k) = 2*k - 2. Let l(f) = 3*f**3 - 2*f + 1. Let i be l(1). Let z(y) = 1. Let c(b) = i*z(b) + w(b). Let x(r) = r**2. Determine x(c(h)). 4*h**2 Let n(d) = d**2 + 3. Let y be n(0). Let q(f) = -3*f + 2*f - y*f. Let j(t) = 5*t**2 - t**2 - 3*t**2 + 0*t**2. Calculate j(q(g)). 16*g**2 Let y(u) = -3*u**2. Let b(x) be the third derivative of x**7/2520 - x**4/6 + 5*x**2. Let g(h) be the second derivative of b(h). Determine g(y(i)). 9*i**4 Let s(i) = -33*i + 9*i + 11*i. Let t(k) = -k**2. Give s(t(b)). 13*b**2 Let i(w) = 475*w. Let a(m) = -4*m. Calculate i(a(f)). -1900*f Let r(v) be the first derivative of v**2/2 + 6. Let b(g) = g**2. What is b(r(c))? c**2 Let s(g) = 5*g**2 - 2*g + 1. Let k be s(1). Let f(i) = -i - i - 4 + k. Let r(h) = h**2. Give r(f(w)). 4*w**2 Let s(k) = -13*k**2 - 5*k. Let n(a) = a**2 + a. Let h(f) = -5*n(f) - s(f). Let p(y) = -3*y**2. Determine p(h(d)). -192*d**4 Let g(f) = 10*f - 6. Let d(v) = -4*v + 3. Let z(r) = -7*r + 5. Let a(u) = 5*d(u) - 3*z(u). Determine a(g(p)). 10*p - 6 Let v(h) = 15*h. Let i(c) = 0*c - 15*c + 10*c + 7*c. Determine v(i(y)). 30*y Let u(o) = -1766*o. Let z(m) = -2*m**2. Calculate u(z(q)). 3532*q**2 Let p(u) = 2*u**2 - 534*u. Let r(z) = 13*z. Give r(p(h)). 26*h**2 - 6942*h Let k(q) = -9*q**2. Let v(m) = 522*m - 264*m - 262*m. Give v(k(f)). 36*f**2 Let w(u) = 2*u - 4*u + 4*u. Let q = 3 + 0. Let y(b) = 0 + 0 - q*b**2. Give w(y(r)). -6*r**2 Let x = 15 + -9. Let f(s) = x - 6 + s**2. Let j(p) be the first derivative of -4*p**3/3 + 10. Determine j(f(k)). -4*k**4 Let z(g) = 2*g**2. Let a(q) = 22*q**2 + 33*q - 1. Calculate a(z(k)). 88*k**4 + 66*k**2 - 1 Let f(c) = -c**2. Let d(v) = -31 + 31 + 2*v**2 - 4*v**2. Give d(f(l)). -2*l**4 Let d(j) = -3*j. Let u(x) be the second derivative of -x**4/4 + 2*x. What is d(u(z))? 9*z**2 Let s(g) = 2*g**2 + g + 1. Let w(i) = i + 1. Let n(o) = s(o) - w(o). Let m(q) = q**2. Give n(m(y)). 2*y**4 Let j(q) = 3*q**2. Let t(r) = -r**2 + 4*r. Let m(h) = h. Let a(d) = 20*m(d) - 5*t(d). What is a(j(z))? 45*z**4 Let d(s) be the second derivative of s**4/3 - 5*s. Let r(p) = 28*p. What is r(d(f))? 112*f**2 Let c(p) = -2*p. Let d = -13 - -25. Let m be 10/(-4)*d/(-15). Let j(o) = -2*o**2 + 4*o**m - o**2. Determine c(j(z)). -2*z**2 Let d(l) be the second derivative of 4*l + 0*l**2 + 0*l**3 - 1/3*l**4 + 0. Let s(m) = -2*m. Give d(s(q)). -16*q**2 Let a(m) = -m**3 - 5*m**2 - 4*m + 1. Let v be a(-4). Let y(z) = v - 1 + z. Let r(q) = -6*q. Let s(t) = 5*t. Let f(o) = 4*r(o) + 5*s(o). Give y(f(h)). h Let z(y) = -y. Let w(r) = 4*r + 5 - 11*r - 5. Calculate z(w(i)). 7*i Let n(v) = 8*v**2. Let c(g) = 20*g + 10. Let o(z) = -10*z - 6. Let t(l) = 3*c(l) + 5*o(l). Give t(n(j)). 80*j**2 Let k(o) = 10*o + 21. Let g(q) = -27*q. Give g(k(h)). -270*h - 567 Let s(g) be the first derivative of -g**5/60 - 3*g**2 - 2. Let r(y) be the second derivative of s(y). Let c(t) = t. Determine r(c(u)). -u**2 Let i be 1 + -4 - (-9 + 1). Let c(l) = -i*l + l + l + l. Let p(t) = -2*t. Calculate p(c(w)). 4*w Let k(u) = 58*u**2. Let w(r) = -5*r**2. Determine k(w(o)). 1450*o**4 Let t(w) = -w**2. Let u(s) = 2*s**2 - 4*s. Calculate t(u(b)). -4*b**4 + 16*b**3 - 16*b**2 Let r(w) be the second derivative of w**4/3 + w. Let s(z) be the first derivative of z**3/3 + 2. Determine r(s(q)). 4*q**4 Let n = 8 + -5. Let d(z) = z + n*z - 7*z + 4*z. Let x(j) = 3*j. Calculate x(d(r)). 3*r Let g(h) be the second derivative of -19*h**3/6 - 3*h + 5. Let j(m) = -2*m. Determine g(j(z)). 38*z Let u(f) = -19*f**2. Let z(g) = 5*g**2 + 14*g. Calculate z(u(h)). 1805*h**4 - 266*h**2 Let q(t) = 2*t**2. Suppose -b = 1 - 3. Let p(h) = h**2 + 9*h + 12. Let g be p(-8). Let a(w) = -w**b + 3*w**2 - g*w**2. Calculate a(q(c)). -8*c**4 Let j(t) = 3*t. Let l(s) be the third derivative of s**5/60 - 10*s**2. Determine l(j(k)). 9*k**2 Let q(f) = 3*f**2. Let r(p) = -44*p**2 - 2*p. Calculate q(r(s)). 5808*s**4 + 528*s**3 + 12*s**2 Let v be ((-24)/20)/(1/(-5)). Let m(i) = -13*i**2 - 11*i - 11. Let u(w) = -7*w**2 - 6*w -
{ "pile_set_name": "DM Mathematics" }
*b**2 - 8. -28*b**2 + 6*b - 4 Collect the terms in -4181*g - 9*g**2 + 4*g**2 + 4181*g + 3*g**2. -2*g**2 Collect the terms in 702*d**3 + 667*d**3 - 1363*d**3. 6*d**3 Collect the terms in -36*a**2 - 26*a**2 - 28*a**2 - 12*a**2 + 68*a**2. -34*a**2 Collect the terms in -1249 + 3747 - 1249 - 6*c - 1249. -6*c Collect the terms in 0*a**2 - a - a - 2*a + 39 - 2*a**2. -2*a**2 - 4*a + 39 Collect the terms in 34213*v**3 - 67870*v**3 + 34605*v**3. 948*v**3 Collect the terms in -t**2 + 1953560*t - 3907147*t + 1953587*t. -t**2 Collect the terms in -52 + 157*o - 302*o - 36 + 143*o. -2*o - 88 Collect the terms in -123*w**2 + 229*w**2 - 130*w**2. -24*w**2 Collect the terms in -209 - 50*k**2 - 19*k**2 + 629 - 420. -69*k**2 Collect the terms in -174*d - 132*d - 49*d - 485*d. -840*d Collect the terms in 11*t + 8*t + 7 - 10*t - 12*t. -3*t + 7 Collect the terms in -260391433*t**2 + 260391433*t**2 - 5*t**3. -5*t**3 Collect the terms in -1003 - 29*c**2 - c**2 - 919 + 1922. -30*c**2 Collect the terms in -67*w**2 + 247*w**2 - 1168*w**2. -988*w**2 Collect the terms in l - 214*l**2 + 16*l**3 - 12*l**3 + 214*l**2. 4*l**3 + l Collect the terms in 77566*i - 77566*i + 4*i**3 - 21*i**3. -17*i**3 Collect the terms in 82*z**2 - 129*z**2 + 47*z**2 + 39*z**3. 39*z**3 Collect the terms in 302 - 69 + x - 163 - 70. x Collect the terms in 295*l**2 - 827*l**2 + 285*l**2 + 290*l**2 + 2*l**3. 2*l**3 + 43*l**2 Collect the terms in 1300*z - 3907*z + 1304*z + 1308*z. 5*z Collect the terms in 60*a**3 + 18*a**3 - 70*a**3 + 7*a**3. 15*a**3 Collect the terms in 8*k**3 + 47*k**2 - 5*k**3 - 4 - 43*k**2. 3*k**3 + 4*k**2 - 4 Collect the terms in -60*n**2 - 40*n**2 - 9*n**3 - 32*n**2 + 132*n**2. -9*n**3 Collect the terms in 3*t + 109 - 3*t + 2*t + 89. 2*t + 198 Collect the terms in -643 + 322 - 4*m + 320. -4*m - 1 Collect the terms in 23 - 12 - 11 - 8*y**2. -8*y**2 Collect the terms in 49 - 19 - 95*y**3 - 15 - 15 + 91*y**3. -4*y**3 Collect the terms in -7*r**2 - 12*r**2 + 15*r**2 - 12*r**2. -16*r**2 Collect the terms in 56*q**3 - 120*q**3 - 223*q**3 - 61*q**3. -348*q**3 Collect the terms in -202*h - 84*h - 38*h - 221*h. -545*h Collect the terms in 47*l - 47*l - 4 - l**3 + 3*l**3. 2*l**3 - 4 Collect the terms in -23*u - 7215 + 16*u - 977 + 9*u. 2*u - 8192 Collect the terms in -134*v - 1185524 + 1185524. -134*v Collect the terms in -4 + 0*x**2 - 16255*x + 16255*x + 4*x**2. 4*x**2 - 4 Collect the terms in -k**2 - 4*k**2 + 37 + 3*k**2 - 6*k**2 - 18*k**2 + 25*k**2. -k**2 + 37 Collect the terms in 0 + 166*p**2 - 337*p**2 + 161*p**2 - 1. -10*p**2 - 1 Collect the terms in 87*x - 152*x + 16*x**3 + 65*x + 57*x**3. 73*x**3 Collect the terms in -82*n**3 - 2 - 119077*n + 119077*n. -82*n**3 - 2 Collect the terms in -z + 76*z + 114*z. 189*z Collect the terms in -4313 - 2368 + 5*n - 3*n. 2*n - 6681 Collect the terms in 22 - 43*j**3 + 11*j - 14 - 8. -43*j**3 + 11*j Collect the terms in 8 + 6 - 10711*h**3 + 10710*h**3 - 3. -h**3 + 11 Collect the terms in 1741*c - 1737*c - 4*c**3 + 6*c**3. 2*c**3 + 4*c Collect the terms in 1852*s**3 - 935*s**3 - 912*s**3. 5*s**3 Collect the terms in -6*k - 5078455 + 5078455. -6*k Collect the terms in 110 - 15*i + 11*i + 6*i - 523. 2*i - 413 Collect the terms in 6*i**3 - 61*i**2 - 59*i**2 + 187*i**2 - 63*i**2. 6*i**3 + 4*i**2 Collect the terms in 379649686 - 379649686 - 15*n. -15*n Collect the terms in 4 - 8204*y + 45332*y - 4. 37128*y Collect the terms in 602*o**2 - 218*o**2 - 240*o**2 - 188*o**2. -44*o**2 Collect the terms in 39*g**3 - 155*g**3 + 74*g**3 - 357*g**3. -399*g**3 Collect the terms in 21 + 32*w**2 - 5*w**3 - 21 - 32*w**2. -5*w**3 Collect the terms in 6*j**2 - 67*j**2 + 28*j**2 - 68*j**2. -101*j**2 Collect the terms in -24*p + 17 - 12 + 27*p. 3*p + 5 Collect the terms in 236*b - 123*b - 27*b**3 - 112*b. -27*b**3 + b Collect the terms in -j**3 - 17471*j**2 - 17473*j**2 - 33*j + 34944*j**2. -j**3 - 33*j Collect the terms in 1055*x + 1048*x - 3146*x + 1043*x - 20*x**3. -20*x**3 Collect the terms in 4*u**3 + 13*u**3 - 30*u**3 + 11*u**3 - 71. -2*u**3 - 71 Collect the terms in -41*n**2 + 8*n**2 + 43*n**2 + 16*n**2 + 13*n**2. 39*n**2 Collect the terms in 985*j - 480*j - 502*j. 3*j Collect the terms in -103*p + 330*p + 323*p. 550*p Collect the terms in -3 + 0*t**2 - t**2 + t**2 + 862*t**3 - 865*t**3. -3*t**3 - 3 Collect the terms in 73*p - 33*p - 3 - 40*p + 27*p**3. 27*p**3 - 3 Collect the terms in -639*a**2 + 154987*a**3 - 154993*a**3 + 639*a**2. -6*a**3 Collect the terms in 7397 - 46*g**2 - 22*g**2 + g - 7397. -68*g**2 + g Collect the terms in -126*u - 151*u + 5*u**2 - 4*u**2. u**2 - 277*u Collect the terms in -28415*c + 56682*c - 28398*c. -131*c Collect the terms in -11*u - 10*u - 45*u - 39*u + 41*u. -64*u Collect the terms in 18648*c**2 + 18640*c**2 - 37308*c**2. -20*c**2 Collect the terms in -2*g**2 + 38*g + 59*g + 45*g - 12*g**2 - 145*g. -14*g**2 - 3*g Collect the terms in 1493241*q**2 - 1493244*q**2 + 5 - 5. -3*q**2 Collect the terms in -82*c - 94*c - 79*c + 231*c. -24*c Collect the terms in 186*b**2 + 0*b + 0*b - 117*b**2. 69*b**2 Collect the terms in -1324*b**2 + 1321*b**2 + 866279*b - 866279*b. -3*b**2 Collect the terms in 1593*p**2 - 3010*p**2 - 9271*p**2. -10688*p**2 Collect the terms in -35376*w**3 + 887*w**3 - 11655*w**3. -46144*w**3 Collect the terms in 151*k**2 - 66*k**2 + 91*k**2 + 149*k**2. 325*k**2 Collect the terms in -9*i**2 + 3*i - 21*i**3 + 9 + 9*i**2 - 25*i**3. -46*i**3 + 3*i + 9 Collect the terms in -81*a + 52*a - 71*a. -100*a Collect the terms in -68*f - 92*f + 1868*f. 1708*f Collect the terms in 175*q**3 - 2*q**2 - 1154*q**3 + 5*q**2. -979*q**3 + 3*q**2 Collect the terms in 23*v - 64*v + 20*v + 20*v + 117. -v + 117 Collect the terms in 0*f + 11*f + f + 15*f - 1 + 91*f**2. 91*f**2 + 27*f - 1 Collect the terms in -2 + 4*r**3 - 2939*r**2 + 2 + 1472*r**2 + 1473*r**2. 4*r**3 + 6*r**2 Collect the terms in 750*i + 270449 - 270449. 750*i Collect the terms in -550*n**2 - 35*n**3 + 550*n**2. -35*n**3 Collect the terms in 1 - 1 + 56*p**2 - 137*p**2 + 60*p**2. -21*p**2 Collect the terms in -2072 - 6*t**2 + 1143 + 929. -6*t**2 Collect the terms in -2039*j**2 + 4*j + 2015*j**2 - 12*j + 5*j + 3*j. -24*j**2 Collect the terms in 1 - 2 + 12*o + 27*o - 12*o. 27*o - 1 Collect the terms in 47*f - 10*f**3 + 52*f + 57 - 160*f + 59*f. -10*f**3 - 2*f + 57 Collect the terms in 17 - 38 + 12 + 66*d**2 + 9. 66*d**2 Collect the terms in -187*w + 5 - 8 + 0 + 8. -187*w + 5 Collect the terms in -6*n**2 - 9*n**2 - 11*n**2 + 4*n**2 + 5*n**2 - n**2. -18*n**2 Collect the terms in -1164955*v + 4 + 651*v**2 + 1164955*v - 4. 651*v**2 Collect the terms in -44*y + 16*y + 18*y. -10*y Collect the terms in y**3 - 2*y - 553*y**2 - 390*y**2 - 795*y**2. y**3 - 1738*y**2 - 2*y Collect the terms in 50*j**2 - 2*j + 4*j + 109*j**2 - 28*j**2 + 24*j**2. 155*j**2 + 2*j Collect the terms in -3*n - 49*n + 59*n - 3*n. 4*n Collect the terms in -17*k**2 + 7*k**2 + 3*k**3 + 12*k**2 - 15*k**3 - 18*k**3. -30*k**3 + 2*k**2 Collect the terms in -11629*n**2 + 5812*n**2 + 5818*n**2. n**2 Collect the terms in 6366 + 3*n - n - 3*n + 15357. -n + 21723 Collect the terms in -140428*p + 70121*p + p**2 + 70307*p. p**2 Collect the terms in 632*t - 302*t - 305*t. 25*t Collect the terms in 16*s**3 + 2*s**3 + 9*s**3 + 5*s**3 - 6*s**3. 26*s**3 Collect the terms in 4*r**2 - 3*r**2 - 6734*r**3 - 6719*r**3 + 13468*r**3. 15*r**3 + r**2 Collect the terms in 738067*n - 369044*n - 369036*n. -13*n Collect the terms in -86 + 84 + 2 - v + 0*v. -v Collect the terms in -101*k**3 + 1569*k**2 - 1569*k**2 + 87*k**3. -14*k**3 Collect the terms in -641*a**3 - 239 + 472 - 233. -641*a**3 Collect the terms in -42*n**2 + 140*n**2 - 16*n**2 - 45*n**2 - 38*n**2. -n**2 Collect the terms in -19*w**2 + 11*w**2 + 19*w + 15*w - 17*w. -8*w**2 + 17*w Collect the terms in o + 19*o - 23*o + 36 - 66. -3*o - 30 Collect the terms in 198580*i - 99294*i - 99290*i. -4*i Collect the terms in 40 - 184*t**2 - 185*t**2 + 374*t**2. 5*t**2 + 40 Collect the terms in -104*k - 3324*k**2 - 70*k - 61*k. -3324*k**2 - 235*k Collect the terms in -3*f + 3*f - 2971*f**2 - 2*f. -2971*f**2 - 2*f Collect the terms in 156 + 21 + 175 + 86 + 4*z. 4*z + 438 Collect the terms in -3905 + 3905 - 47316*o**2 + 47314*o**2. -2*o**2 Collect the terms in -338 + 169*m + 672 - 336. 169*m - 2 Coll
{ "pile_set_name": "DM Mathematics" }
*q + 3057 What is the q'th term of 48, -2, -166, -510, -1100, -2002? -11*q**3 + 9*q**2 + 50 What is the p'th term of 24170, 48456, 72742? 24286*p - 116 What is the q'th term of 133, 264, 365, 442, 501? q**3 - 21*q**2 + 187*q - 34 What is the k'th term of 17187, 17171, 17155, 17139, 17123? -16*k + 17203 What is the j'th term of 33947, 33949, 33951, 33953, 33955, 33957? 2*j + 33945 What is the c'th term of 209, 1833, 3459, 5087, 6717? c**2 + 1621*c - 1413 What is the j'th term of 1496, 2959, 4376, 5741, 7048, 8291, 9464, 10561? -j**3 - 17*j**2 + 1521*j - 7 What is the d'th term of 11984, 11950, 11916, 11882, 11848? -34*d + 12018 What is the x'th term of -516, -987, -1434, -1857, -2256? 12*x**2 - 507*x - 21 What is the p'th term of 3793, 3651, 3505, 3355? -2*p**2 - 136*p + 3931 What is the z'th term of -14286, -28569, -42852? -14283*z - 3 What is the x'th term of -96, -289, -556, -897, -1312? -37*x**2 - 82*x + 23 What is the n'th term of -25, -271, -927, -2197, -4285? -34*n**3 - n**2 - 5*n + 15 What is the q'th term of 702, 2731, 6102, 10821, 16894, 24327, 33126, 43297? q**3 + 665*q**2 + 27*q + 9 What is the f'th term of 20039, 40086, 60131, 80174, 100215, 120254? -f**2 + 20050*f - 10 What is the f'th term of 353146, 1412577, 3178296, 5650303? 353144*f**2 - f + 3 What is the k'th term of -2432, -9749, -22010, -39269, -61580, -88997, -121574? -9*k**3 - 2418*k**2 - 5 What is the j'th term of 22406, 44806, 67206, 89606? 22400*j + 6 What is the s'th term of -286492, -286493, -286494, -286495, -286496? -s - 286491 What is the l'th term of -259, -1023, -2291, -4063, -6339, -9119? -252*l**2 - 8*l + 1 What is the s'th term of -5454, -21785, -48978, -87027, -135926, -195669? s**3 - 5437*s**2 - 27*s + 9 What is the u'th term of -565, -1101, -1633, -2161? 2*u**2 - 542*u - 25 What is the f'th term of 1788, 1880, 1970, 2058, 2144? -f**2 + 95*f + 1694 What is the z'th term of 5068, 5062, 5046, 5014, 4960? -z**3 + z**2 - 2*z + 5070 What is the s'th term of 0, -154, -456, -906, -1504, -2250, -3144? -74*s**2 + 68*s + 6 What is the s'th term of 313, 993, 2057, 3505, 5337, 7553? 192*s**2 + 104*s + 17 What is the b'th term of 1010, 1024, 1038, 1052, 1066, 1080? 14*b + 996 What is the n'th term of 448, 444, 434, 418, 396? -3*n**2 + 5*n + 446 What is the j'th term of 163, 667, 1523, 2731, 4291, 6203, 8467? 176*j**2 - 24*j + 11 What is the g'th term of 103283, 206584, 309909, 413270, 516679? 2*g**3 + 103287*g - 6 What is the m'th term of 1674, 1769, 1864, 1959, 2054? 95*m + 1579 What is the i'th term of -71, -144, -223, -308, -399, -496? -3*i**2 - 64*i - 4 What is the m'th term of 306, 347, 388, 429, 470? 41*m + 265 What is the n'th term of -15406, -15384, -15362, -15340, -15318, -15296? 22*n - 15428 What is the s'th term of 4112, 5716, 7320, 8924? 1604*s + 2508 What is the s'th term of -47, -135, -281, -497, -795, -1187, -1685, -2301? -2*s**3 - 17*s**2 - 23*s - 5 What is the x'th term of 1426, 2857, 4302, 5767, 7258, 8781? x**3 + x**2 + 1421*x + 3 What is the y'th term of 465, 440, 415, 390, 365, 340? -25*y + 490 What is the d'th term of -682, -1866, -3050, -4234, -5418, -6602? -1184*d + 502 What is the x'th term of -559, -1854, -4013, -7036, -10923? -432*x**2 + x - 128 What is the z'th term of 3018014, 3018008, 3018000, 3017990, 3017978? -z**2 - 3*z + 3018018 What is the d'th term of -40971, -81946, -122921, -163896, -204871, -245846? -40975*d + 4 What is the w'th term of 2411, 9661, 21749, 38675, 60439, 87041, 118481? 2419*w**2 - 7*w - 1 What is the v'th term of -867, -1678, -2439, -3150, -3811, -4422? 25*v**2 - 886*v - 6 What is the z'th term of 1893, 3882, 5871? 1989*z - 96 What is the l'th term of 627047, 1254095, 1881143? 627048*l - 1 What is the l'th term of 2238, 4460, 6672, 8868, 11042, 13188, 15300? -l**3 + l**2 + 2226*l + 12 What is the a'th term of 217662, 435320, 652978? 217658*a + 4 What is the h'th term of 4119, 4134, 4163, 4212, 4287, 4394, 4539? h**3 + h**2 + 5*h + 4112 What is the s'th term of 7045, 6976, 6907, 6838, 6769? -69*s + 7114 What is the r'th term of -272, -534, -782, -1010, -1212, -1382? r**3 + r**2 - 272*r - 2 What is the y'th term of -1561, -7122, -16391, -29368, -46053, -66446, -90547? -1854*y**2 + y + 292 What is the c'th term of -17654, -35306, -52968, -70646, -88346, -106074? -c**3 + c**2 - 17648*c - 6 What is the u'th term of -37263, -37266, -37269, -37272? -3*u - 37260 What is the w'th term of 2375, 4622, 6817, 8954, 11027? -w**3 - 20*w**2 + 2314*w + 82 What is the o'th term of -13772, -13761, -13744, -13721, -13692? 3*o**2 + 2*o - 13777 What is the o'th term of -728, -1277, -1826, -2375? -549*o - 179 What is the p'th term of -745, -976, -1183, -1354, -1477, -1540? 2*p**3 - 245*p - 502 What is the x'th term of -133, -216, -279, -322, -345? 10*x**2 - 113*x - 30 What is the p'th term of -2056, -2003, -1914, -1789, -1628, -1431, -1198? 18*p**2 - p - 2073 What is the d'th term of 10140, 20167, 30194, 40221, 50248, 60275? 10027*d + 113 What is the f'th term of -72610, -145223, -217836, -290449? -72613*f + 3 What is the p'th term of -29276, -29274, -29272, -29270, -29268? 2*p - 29278 What is the t'th term of 111, 972, 3299, 7824, 15279, 26396? 122*t**3 + t**2 + 4*t - 16 What is the t'th term of 2911, 1808, -31, -2606? -368*t**2 + t + 3278 What is the x'th term of -3220, -6436, -9652, -12868? -3216*x - 4 What is the l'th term of -223, -329, -209, 251, 1165? 19*l**3 - l**2 - 236*l - 5 What is the u'th term of -1136, -1849, -2576, -3323, -4096, -4901? -u**3 - u**2 - 703*u - 431 What is the l'th term of 8439, 8473, 8521, 8577, 8635? -l**3 + 13*l**2 + 2*l + 8425 What is the f'th term of -56, -437, -1480, -3515, -6872? -55*f**3 - f**2 + 7*f - 7 What is the q'th term of 310, 1373, 3196, 5779? 380*q**2 - 77*q + 7 What is the j'th term of 3975, 15735, 35335, 62775? 3920*j**2 + 55 What is the l'th term of -33, -281, -939, -2211, -4301, -7413? -34*l**3 - l**2 - 7*l + 9 What is the h'th term of 1007, 2021, 3043, 4085, 5159, 6277, 7451? 2*h**3 - 8*h**2 + 1024*h - 11 What is the g'th term of 5490, 5450, 5410, 5370? -40*g + 5530 What is the f'th term of -833, -3163, -7043, -12473, -19453? -775*f**2 - 5*f - 53 What is the q'th term of 221, 252, 291, 338, 393, 456? 4*q**2 + 19*q + 198 What is the w'th term of -16, -53, -90, -127, -164? -37*w + 21 What is the s'th term of 562306, 562311, 562328, 562363, 562422, 562511, 562636, 562803? s**3 - 2*s + 562307 What is the p'th term of 17005, 34009, 51013, 68017, 85021? 17004*p + 1 What is the a'th term of -94, -201, -376, -619, -930, -1309, -1756? -34*a**2 - 5*a - 55 What is the a'th term of 59685, 59657, 59619, 59577, 59537, 59505? a**3 - 11*a**2 - 2*a + 59697 What is the h'th term of 111, 158, 213, 282, 371? h**3 - 2*h**2 + 46*h + 66 What is the a'th term of 1859, 3827, 5795, 7763? 1968*a - 109 What is the t'th term of 62926, 125881, 188836, 251791, 314746? 62955*t - 29 What is the u'th term of -677, -657, -635, -611, -585, -557? u**2 + 17*u - 695 What is the v'th term of -1459, -1494, -1529, -1564, -1599, -1634? -35*v - 1424 What is the r'th term of 14581, 29156, 43741, 58348, 72989? 2*r**3 - 7*r**2 + 14582*r + 4 What is the g'th term of -30, -160, -406, -798, -1366? -5*g**3 - 28*g**2 - 11*g + 14 What is the j'th term of -43965, -43962, -43957, -43950, -43941, -43930, -43917? j**2 - 43966 What is the q'th term of 1395, 774, -267, -1734, -3633? -q**3 - 204*q**2 - 2*q + 1602 What is the y'th term of -125, -110, -81, -38, 19, 90, 175? 7*y**2 - 6*y - 126 What is the y'th term of -350691, -350695, -350699, -350703, -350707, -350711? -4*y - 350687 What is the d'th term of -78, -650, -2088, -4788, -9146? -66*d**3 - 37*d**2 + d + 24 What is the h'th term of -475346, -475350, -475364, -475394, -475446, -475526, -475640? -h**3 + h**2 - 475346 What is the r'th term of 283, 605, 997, 1459, 1991, 2593? 35*r**2 + 217*r + 31 What is the y'th term of 785, 865, 1003, 1205, 1477, 1825? y**3 + 23*y**2 + 4*y + 757 What is the l'th term of 893, 845, 787, 719, 641, 553, 455? -5*l**2 - 33*l + 931 What is the f'th term of -393082, -393085, -393090, -393097? -f**2 - 393081 What is the d'th term of -22069, -22104, -22139, -22174, -22209, -22244? -35*d - 22034 What is the d'th term of -8448, -8430, -8390, -8322, -8220, -8078, -78
{ "pile_set_name": "DM Mathematics" }
pose i - 4 = 3*s. Put s, c, -1 in ascending order. c, -1, s Let r(k) = k**3 + 7*k**2 + 4*k - 8. Let o be r(-6). Let n be (120/2*o/8)/1. Suppose 21 = -3*i + n. Put -2, 4, i, 1 in descending order. 4, i, 1, -2 Let x be 4*(-7)/28 - 2. Put 254, x, 1, 4 in ascending order. x, 1, 4, 254 Let g be -4 - (1/3)/(33/396). Let x be (-8 - 42/g) + 3. Put 3, x, 0.1, -13 in increasing order. -13, 0.1, x, 3 Let w = 83 + -167/2. Let d be -3 + 18/8 + 0 + 1. Sort d, -0.2, w, 6 in ascending order. w, -0.2, d, 6 Let j = -0.5 - 2.5. Let b = -2576.99 + 2577. Put j, 1/3, b in ascending order. j, b, 1/3 Let w(v) = -v**3 - 13*v**2 - 4*v - 6. Let t(q) = -q**3 - 1. Let s(u) = 2*t(u) - w(u). Let o be s(13). Let m be o/16 - 2/4. Put 4, -3, m in descending order. 4, m, -3 Let l = 7 - 9. Suppose 6*s = -3*f + 2*s + 13, -3*f = -5*s - 4. Put f, 5, -1, l in increasing order. l, -1, f, 5 Suppose -2*f + 4*n = -696, 33*f - 32*f - 4*n = 342. Put 2/9, 1/2, f in descending order. f, 1/2, 2/9 Let w(t) = -37*t - 61. Let c be (-1240)/360 - 4/(-9). Let n be w(c). Put n, -5, 4 in increasing order. -5, 4, n Let w(p) = 4*p + 5. Let i(f) = f. Let g(h) = 6*i(h) - w(h). Let n(c) = c - 5. Let j be n(8). Let q be g(j). Put q, -17, -5 in descending order. q, -5, -17 Let h(d) = d**2 + 1. Let u be h(-1). Suppose 0 = u*a + 2*l + 2 + 4, 2 = l. Let b = 1806.2 - 1812.2. Put a, b, -0.4 in increasing order. b, a, -0.4 Let q = 24103 + -24102.95. Sort -44/7, -3, 0.1, q, -1/4 in increasing order. -44/7, -3, -1/4, q, 0.1 Suppose 368 = 16*i - 336. Suppose -51*b = -i*b + 28. Sort b, 1, -1 in increasing order. b, -1, 1 Let u be -35 - (1 - 2 - 2). Let b = 1 + u. Let a(f) = f**2 + 7*f - 65. Let q be a(-12). Sort b, 0, q. b, q, 0 Let y be (-9 - 165/(-20))/((-1)/4). Suppose 0*w = w. Put w, -1, y, -3 in ascending order. -3, -1, w, y Let w be 11/154*-2 + (-668)/28. Put -8, 2/9, w in increasing order. w, -8, 2/9 Let w = -184.1 + 184. Put -1/848, 0.1, w in descending order. 0.1, -1/848, w Let p(u) = u**3 - 4*u**2 - 5*u. Let s be p(5). Let m = -225.24 - -222.24. Put m, -2, s, -10 in decreasing order. s, -2, m, -10 Let d = 73 - 18. Suppose d = -4*m - j, 2*m + 14 = -3*j - 21. Sort m, 5, 3/8 in descending order. 5, 3/8, m Let y(z) = 2*z**2 + 26*z + 83. Let a be y(-8). Suppose 0 = a*v - 20 + 14. Let w = -1 + 0. Sort w, v, 1, 4 in descending order. 4, v, 1, w Let t = 65.024 - 74.1. Let k = 0.076 + t. Let s = k - -13. Put -1/2, -1, 0.1, s in decreasing order. s, 0.1, -1/2, -1 Let b(c) = -c**2 + 37*c - 32. Let s be b(32). Let g = s + -132. Sort -5, -0.2, g in decreasing order. -0.2, g, -5 Suppose 15 = q - 4*a, -31*q + a = -27*q. Sort 5, q, 11 in descending order. 11, 5, q Let l(h) be the third derivative of -h**5/60 + h**4/4 + 71*h**3/6 + 4*h**2 + 26. Let p be l(-6). Sort p, 20, -4 in decreasing order. 20, p, -4 Suppose 56*m = 13*m - 172. Let t be 1/5 - (-104)/(-20). Put 1, m, 59, t in decreasing order. 59, 1, m, t Let z(j) = 36*j - 178. Let p be z(5). Sort -0.2, 270, p. -0.2, p, 270 Let w be 16/(-5) - 6/((-360)/12). Suppose 3*u = 3*q + 15, q + 0*q + 11 = 3*u. Put -2, w, u, 1 in descending order. u, 1, -2, w Suppose -4*u = -x - 1 + 18, -4*u + 19 = 3*x. Suppose -v + x = 8. Let l be 2/v + (-24)/13. Sort l, 1, 21 in decreasing order. 21, 1, l Let s be (-2)/20 - 100/(-80)*(-34)/(-175). Put 0.01, 1, s, -12/19 in decreasing order. 1, s, 0.01, -12/19 Let q(o) = 2*o + 10. Let d be q(-7). Suppose 5720*j + 1 = 5721*j. Put -31, d, j, 0 in decreasing order. j, 0, d, -31 Let k = 333 + -297.5. Let g = -54 + 19. Let n = g + k. Put n, -4, -6 in increasing order. -6, -4, n Let o(t) = 67*t - 96*t + 36 - 67. Let c be o(-1). Put -4, c, 4, -65 in decreasing order. 4, c, -4, -65 Let a be ((-1)/(-33) + 0)*(-38 + 61 - 11). Sort 3, 2/7, -1/2, a, -2/9. -1/2, -2/9, 2/7, a, 3 Let a = -146.7 - -125. Let f = 18.7 + a. Put f, 0.4, -8 in decreasing order. 0.4, f, -8 Suppose 5*k = 10, -2*f + 6*k + 64 = 4*k. Suppose 28*a - f = -6*a. Sort 7, -5, a in decreasing order. 7, a, -5 Let b be (12/(-50))/((-15)/25). Let n = 819 + -4131/5. Sort n, b, -0.2 in decreasing order. b, -0.2, n Let p = -168 + 117. Let l = p - -55. Sort -1, l, 1, -5 in ascending order. -5, -1, 1, l Let k = -250 + 254. Suppose -25 = 9*o - k*o. Put 26, 5, o in descending order. 26, 5, o Let s be 5/2*(0 - -12)*1. Suppose -6*w + s = 78. Sort w, -2, -3, 4. w, -3, -2, 4 Let l be (-10)/2 - (588/784)/(1/(-8)*3). Let k = -50 - -47.1. Let n = -1.1 + k. Sort n, l, -2 in decreasing order. -2, l, n Let d be (84 + -1)/(20 - (-1 + 3)). Let n = d + -46/9. Sort -0.4, -40, n. -40, n, -0.4 Let t = 2459 + -2456. Sort 7, t, -9, -1/4. -9, -1/4, t, 7 Suppose 3*c = 2*h - 3, -3*h - 9*c = -7*c + 2. Suppose 0*i = i - 19. Suppose 4*s - 15 + i = h. Sort -2, s, 35 in descending order. 35, s, -2 Let f be 8 - (116/10 - 1*18/(-45)). Put -6, -113, f in increasing order. -113, -6, f Suppose -2*m = 3*v - 16, 9*m + 15*v - 10*v = 38. Sort 3, -11, -17, -4, m in ascending order. -17, -11, -4, m, 3 Let w be (-3)/(-2) + 1/2. Suppose 0 = -5*t - k - 18, -2*t - k - 9 = -0. Let v(c) = -69*c**2 - 205*c + 2. Let z be v(t). Sort w, -1, z. z, -1, w Let x = 7273 - 7278. Put x, -7, 4, 2, -19 in descending order. 4, 2, x, -7, -19 Let x = -7 + 6.94. Let c = x + -0.34. Suppose -128260*t + 128374*t + 342 = 0. Put c, 4, t in decreasing order. 4, c, t Let y = 40 - 21. Let o = -619 + 4949/8. Put 5, y, 0.1, o in increasing order. o, 0.1, 5, y Let j = 23667 - 24076. Put -1, 1, j, 3 in descending order. 3, 1, -1, j Suppose 9*j - 951 + 4101 = 0. Let w = 350 + j. Put -19, w, -0.1 in increasing order. -19, -0.1, w Let s be (3/(-6) + (-10)/(-4))*754/(-3016). Let l(a) = -a - 8. Let n be l(-6). Put -0.4, 2, n, s in decreasing order. 2, -0.4, s, n Let t be (-2)/((-14)/(-6) + -2). Let m be 1*t/21*2. Let j = -869 + 871. Sort j, 5, m, 2/13 in ascending order. m, 2/13, j, 5 Let s be (2/1 - 3/(-2)) + 444/888. Sort s, 5, 2, 30, -2 in decreasing order. 30, 5, s, 2, -2 Let v = -25 - -46. Suppose 6*w - 177 = v. Let p = -30 + w. Put 2, -17, p in decreasing order. p, 2, -17 Let k be (9 - (20 - 3) - -559)/(-1). Put 3, 2, k, 4 in ascending order. k, 2, 3, 4 Suppose -2711*f - 4 = p - 2710*f, -3*p - 14 = 5*f. Suppose 0 = 4*j - 2 - 6. Sort 3, j, -1, p in increasing order. p, -1, j, 3 Let g be (0 - 9)/(801/(-445)). Let v = 30 - 17. Put -4, v, g, -1 in increasing order. -4, -1, g, v Let c(h) = -h**3 - 64*h**2 - 349*h - 64. Let b be c(-58). Put 139, 2, b in descending order. 139, 2, b Let v = 1319 + -1957. Let r = -640.5 - v. Sort r, -0.1, 1/6. r, -0.1, 1/6 Let j(f) be the third derivative of -25*f**4/24 - 11*f**3/2 - 37*f**2 - 2. Let d be j(-2). Sort -4, -3, d in descending order. d, -3, -4 Let x = 1515 - 1514.82. Put x, -0.5, -3 in ascending order. -3, -0.5, x Let r(x) = -x**2 + x + 3. Let u be r(3). Suppose h + 120 = 11*h. Suppose 0 = 450*v - 447*v - h. Sort 13, v, u. u, v, 13 Let s be (-1)/(-3)*(-48 - -45) - (-5 - 131). Sort s, -1, 3, 0. -1, 0, 3, s Let g be (9*16/24)/(-3). Put -127, g, 1 in increasing order. -127, g, 1 Suppose -5*n = 1 - 16. Suppose 0 = -2*m + n*p - 2, 0 = 4*m + 2*p + 20. Let h be -3*m/120*-2. Sort -20, h, 0 in ascending order. -20, h, 0 Let g = -1380.7 + 1380.39. Sort 2, 0.2, 0.3, g, -3 in increasing order. -3, g, 0.2, 0.3, 2 Suppose -35*q = -39*q + 28. Suppose 0 = d - 2 - q. Put d, -1, -5 in descending order. d, -1, -5 Let o = -0.05482 + -2.94518. Put 9, -13/4, o in ascending order. -13/4, o, 9 Suppose 26948 = 15*u + 26903. Put -0.5, -83, -1, 5, u in ascending order. -83, -1, -0.5, u, 5 Let y = 0.02366 - 0.52366. Sort y, -0.06, -192 in descending order. -0.06, y, -192 Let g be 8/(-10)*(75/(-40))/(24/(-32)). Sort g, 318, 3 in decreasing order. 318, 3, g Let i be ((-226)/(-108) + 33/(-22))*27/(-36). Sort -5, -1/2, i, 0.5 in decreasing order. 0.5, i, -1/2, -5 Suppose 0 = -k - 2*d, 5*k + 5*d - 14 = 2*d. Suppose -404 = 10*u - 104*u + 160. Sort k, u, 1/2 in ascending order. 1/2, k, u Let h = 3538 + -3542. Put h, 0.142, -3 in increasing order. h, -3, 0.142 Let h = 103/6 + -53/3. Let l = -0.116 - 96.884. Let v = -92 - l. Put v, -5, h in ascending order. -5, h, v Let v(b) = 5*b**2 - 385*b + 380. Let y be v(76). Put -129, -5, -3, 4, y in ascending order. -129, -5, -3, y, 4 Let t be 15/(-1575)*-48 + (-2)/(-14). Sort 3, 0.22, t, -4 in increasing order. -4, 0.22, t, 3
{ "pile_set_name": "DM Mathematics" }
fy (-3 + (sqrt(40)*-2)/sqrt(8) + -3)**2*4. 96*sqrt(5) + 224 Simplify (-3 + sqrt(704) + 2)**2. -16*sqrt(11) + 705 Simplify (sqrt(55)/((sqrt(11) + sqrt(22)/sqrt(2))*-5))**2 + ((-1*sqrt(175))/sqrt(7))/sqrt(5). -sqrt(5) + 1/20 Simplify (sqrt(6) + (-1*sqrt(36))/sqrt(6))/(sqrt(72)*2 + sqrt(2)). 0 Simplify sqrt(204)/(4*sqrt(768)). sqrt(17)/32 Simplify (sqrt(10)/sqrt(2) + -3 + 1)**2. -4*sqrt(5) + 9 Simplify sqrt(1872) + 0 + sqrt(1872) + -4 + -1. -5 + 24*sqrt(13) Simplify ((sqrt(119) - -3*(sqrt(119)*1 - sqrt(119))) + sqrt(119))/sqrt(7). 2*sqrt(17) Simplify sqrt(1088) + (sqrt(1088) - (3*sqrt(1088) - sqrt(1088))) + (sqrt(85)/sqrt(20) - sqrt(17)). -sqrt(17)/2 Simplify (-1*sqrt(243))/(-3*sqrt(36)) + 2. sqrt(3)/2 + 2 Simplify -1*sqrt(6)/(2*sqrt(3))*4. -2*sqrt(2) Simplify (sqrt(33)/(sqrt(3) + sqrt(3) + (sqrt(192) - ((sqrt(192)*1 - sqrt(192)) + sqrt(192) + sqrt(192)))))**2. 11/36 Simplify ((sqrt(84)/(sqrt(21)/sqrt(3)))/sqrt(6))**2*-2. -4 Simplify (-1 + (sqrt(2448) - (sqrt(2448)*2 - sqrt(2448))))**2. 1 Simplify ((sqrt(1377) + -4)*3)**2. -648*sqrt(17) + 12537 Simplify ((-1*sqrt(77)*-4 - sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77))/(sqrt(560)/sqrt(5)). sqrt(11)/2 Simplify ((sqrt(612) + sqrt(612) + 1 - sqrt(612))*1)**2 + -1 + sqrt(612)*-2 + 2. 614 Simplify ((sqrt(315)*-1)/(sqrt(35)/(sqrt(30)/sqrt(6))))**2. 45 Simplify ((sqrt(189) - (sqrt(189) + sqrt(189) + sqrt(189) + 2*sqrt(189)))/sqrt(7))/(sqrt(9) + sqrt(81) + sqrt(81)*-1). -4*sqrt(3) Simplify sqrt(12)/((1*sqrt(28))/sqrt(7))*-1. -sqrt(3) Simplify 1 + 6*(sqrt(3) + -2 + 2 + sqrt(3) - sqrt(3)). 1 + 6*sqrt(3) Simplify sqrt(156)/(sqrt(588)*2). sqrt(13)/14 Simplify 4 + sqrt(21)/sqrt(7) + -4 + -1. -1 + sqrt(3) Simplify (0 + (sqrt(70) - (sqrt(70) + -4*sqrt(70)*-2))/sqrt(10) + -3)**2. 48*sqrt(7) + 457 Simplify sqrt(99)*3*1. 9*sqrt(11) Simplify (4 + sqrt(2299) + 1)**2. 110*sqrt(19) + 2324 Simplify 1*((sqrt(35)*2)/sqrt(5) + (sqrt(112)*-2)**2)*2. 4*sqrt(7) + 896 Simplify -3*(sqrt(3888) + sqrt(3888) + 0 + sqrt(3888)). -324*sqrt(3) Simplify -5*(sqrt(3) - -1*sqrt(3)) + sqrt(9)/(sqrt(12)/sqrt(4)). -9*sqrt(3) Simplify -4 + (sqrt(11) + -1*sqrt(11))*-1 + sqrt(891)*1. -4 + 9*sqrt(11) Simplify (-1*sqrt(324))/(sqrt(3) + sqrt(36)/sqrt(3)). -2*sqrt(3) Simplify ((sqrt(612))**2 + 2)*-1. -614 Simplify (-2 + 2*sqrt(98) + 5 + 2)**2. 140*sqrt(2) + 417 Simplify (2*sqrt(117)/sqrt(9))**2 + -2. 50 Simplify (2*(sqrt(612) - (sqrt(612) + 1)))**2. 4 Simplify (0 + sqrt(1900))*1. 10*sqrt(19) Simplify sqrt(34)/(sqrt(2) - sqrt(162)*1). -sqrt(17)/8 Simplify sqrt(5)*5*2 - 5*sqrt(20). 0 Simplify sqrt(48) + 1 + (sqrt(3) + sqrt(147) + -1 + sqrt(147))**2. -26*sqrt(3) + 677 Simplify 1 + ((sqrt(1331)*1 - sqrt(1331)) + sqrt(1331))**2. 1332 Simplify (5 + 4*(6*(sqrt(3) + (sqrt(3) + sqrt(9)/sqrt(3) - sqrt(3))) - sqrt(3)))*4. 20 + 176*sqrt(3) Simplify (sqrt(110)/(1*sqrt(1440) + sqrt(1440))*-3)**2. 11/64 Simplify ((sqrt(136)/sqrt(4)*-4)/sqrt(2)*2)**2. 1088 Simplify 2 + sqrt(32) + 1. 3 + 4*sqrt(2) Simplify (sqrt(152)*2)/sqrt(8) - (sqrt(2736) - (-1 + sqrt(2736)))**2. -1 + 2*sqrt(19) Simplify sqrt(14)/(sqrt(448)*-3 - sqrt(448)). -sqrt(2)/32 Simplify -1*(sqrt(7) + (sqrt(21)/sqrt(3))**2) - (sqrt(42)/(sqrt(24)/sqrt(4)) + sqrt(7)). -3*sqrt(7) - 7 Simplify ((sqrt(77)/sqrt(7) - sqrt(11)) + 4 + (sqrt(66)*2)/sqrt(6) + -1)**2. 12*sqrt(11) + 53 Simplify (5 + 4*(sqrt(11) + -2*(-1 + sqrt(11)) - (sqrt(44)/sqrt(4) + sqrt(11) + -3)))**2. -600*sqrt(11) + 2209 Simplify 2 + ((5 + sqrt(13) + sqrt(1053))**2 - sqrt(13)). 99*sqrt(13) + 1327 Simplify -2*(2 + sqrt(3))*-4. 8*sqrt(3) + 16 Simplify (((sqrt(300) - (5 + (sqrt(300) - (sqrt(300) - (-1 + sqrt(300)))))) + sqrt(300) + sqrt(300) - -2*sqrt(300)*2)*2)**2. -1920*sqrt(3) + 43264 Simplify (-4*1*sqrt(68))/((sqrt(4) + sqrt(8)/sqrt(2))*-5). 2*sqrt(17)/5 Simplify ((sqrt(84) + 3*(sqrt(84) + sqrt(84)*2 + sqrt(84) + sqrt(84)))/sqrt(12)*6)**2. 64512 Simplify ((sqrt(162)*-1*-1)/sqrt(6))**2. 27 Simplify -3 + sqrt(1584) + -2*sqrt(1584). -12*sqrt(11) - 3 Simplify (sqrt(20)/sqrt(90))**2 + sqrt(150)/sqrt(3). 2/9 + 5*sqrt(2) Simplify (sqrt(242) - (sqrt(242) + 1)*2 - (-3*(sqrt(242) + -1))**2) + 0. -2189 + 187*sqrt(2) Simplify (-1 + 2*sqrt(11) + sqrt(11))**2 + sqrt(99)/sqrt(144). -23*sqrt(11)/4 + 100 Simplify (-3*sqrt(80) - sqrt(80)) + 5. -16*sqrt(5) + 5 Simplify (sqrt(1100) + 3*sqrt(1100)*3)**2 + 1. 110001 Simplify 5 + sqrt(304)*2 + sqrt(304). 5 + 12*sqrt(19) Simplify (sqrt(60)/sqrt(6)*-5)/sqrt(5). -5*sqrt(2) Simplify ((sqrt(19) - sqrt(19)*-4*3) + 4)**2. 104*sqrt(19) + 3227 Simplify (5*(-1 + sqrt(612)) + sqrt(612))**2 + sqrt(612) + sqrt(612). -348*sqrt(17) + 22057 Simplify (sqrt(208) - -3*sqrt(208)) + 0 + sqrt(91)/sqrt(7) + -5. -5 + 17*sqrt(13) Simplify (sqrt(13) + sqrt(13)*-2 + sqrt(13) + 2 + sqrt(13) + (sqrt(156)/sqrt(4))/sqrt(3) + sqrt(13))**2. 12*sqrt(13) + 121 Simplify (4 + 1*sqrt(720)*-1 + -4)**2. 720 Simplify 2 + 1*sqrt(180) + 0. 2 + 6*sqrt(5) Simplify ((-2*sqrt(144)/sqrt(4))/(sqrt(12) + (sqrt(108)/sqrt(3))/sqrt(3)))**2. 3 Simplify sqrt(35)/(sqrt(30)/sqrt(6)) - sqrt(70)/(sqrt(10) + sqrt(160) + sqrt(10)). 5*sqrt(7)/6 Simplify (-5*(sqrt(99) + sqrt(99)*6))/sqrt(9). -35*sqrt(11) Simplify 4 + (sqrt(13) - (sqrt(13) + 5*sqrt(65)/sqrt(5))) + 4. -5*sqrt(13) + 8 Simplify sqrt(35)/(sqrt(605) - -1*sqrt(605) - sqrt(5)). sqrt(7)/21 Simplify -5*((sqrt(17)*2*2)**2 - sqrt(85)/sqrt(45)). -1360 + 5*sqrt(17)/3 Simplify (sqrt(18)/(sqrt(36)/sqrt(4) + sqrt(9)) + sqrt(2) - sqrt(18)*5)*2. -27*sqrt(2) Simplify sqrt(144)/sqrt(12) + sqrt(18)/sqrt(6)*2. 4*sqrt(3) Simplify -1 + sqrt(25)/(sqrt(180) + -2*sqrt(180)). -1 - sqrt(5)/6 Simplify 5 + ((sqrt(95) - -1*sqrt(95))/sqrt(5))**2 + -4. 77 Simplify 4*(-2*sqrt(7) + 0). -8*sqrt(7) Simplify ((sqrt(21) + sqrt(189)*6)/(sqrt(864)/sqrt(8)))**2. 2527/36 Simplify 0 + (sqrt(605)*-4)**2*-4. -38720 Simplify (sqrt(242) - -1*-2*sqrt(242) - 5*(sqrt(242) + sqrt(242) + sqrt(242) + -1*sqrt(242)))**2. 29282 Simplify (2*(0 + sqrt(3)))**2 + (sqrt(33)*-1 + sqrt(33))/sqrt(11). 12 Simplify ((sqrt(104) + sqrt(104)*1)*-5)/((sqrt(64)/sqrt(4))/sqrt(2)). -10*sqrt(13) Simplify (5*((sqrt(13) - sqrt(1573)) + 1))**2. -500*sqrt(13) + 32525 Simplify sqrt(156)/((sqrt(12) + sqrt(12)*-2)*6). -sqrt(13)/6 Simplify 2*(sqrt(17) + -1 - sqrt(17)) + 0. -2 Simplify sqrt(81)/sqrt(3) + -5*sqrt(6)/sqrt(2). -2*sqrt(3) Simplify (sqrt(165)/(sqrt(44)/sqrt(4)))/(sqrt(125)*-2)*6. -3*sqrt(3)/5 Simplify 1*(sqrt(2448) - -1*sqrt(2448)*-1)**2. 0 Simplify -4*(1 + sqrt(75) - (sqrt(27) + -1)). -8*sqrt(3) - 8 Simplify 6*sqrt(34)/sqrt(2) + 4*(3 + sqrt(17))**2. 104 + 30*sqrt(17) Simplify 2 + (-2*sqrt(11) - sqrt(11)) - sqrt(11) - sqrt(132)/(sqrt(12) - sqrt(48) - sqrt(12)). -7*sqrt(11)/2 + 2 Simplify 5 + (-5*(sqrt(19) - -5*(sqrt(19)*-1 + sqrt(19))))**2. 480 Simplify ((4*sqrt(12) + sqrt(12))*6)/((sqrt(600) - sqrt(600)*-1) + sqrt(600)). sqrt(2) Simplify (2*sqrt(180)/sqrt(5))/(sqrt(12) - (-1*sqrt(36))/sqrt(3)). sqrt(3) Simplify -1*sqrt(175) + sqrt(63)*-2 + -1. -11*sqrt(7) - 1 Simplify -3*(sqrt(432) - ((sqrt(432) - (sqrt(432) + sqrt(432) + (-2 + sqrt(432) + 1 - sqrt(432)))**2) + sqrt(432))) + 4. -5183 + 180*sqrt(3) Simplify (-2*sqrt(99) + (2*sqrt(121))/sqrt(11))*3. -12*sqrt(11) Simplify -1 + sqrt(252) + 1. 6*sqrt(7) Simplify (sqrt(24)/sqrt(192) + sqrt(2) + -1 + 2)**2. 5*sqrt(2)/2 + 33/8 Simplify (-2 + (sqrt(1539) + sqrt(1539) + sqrt(1539) + 0)**2)*-5. -69245 Simplify (sqrt(75)*6 + 2*sqrt(6)/sqrt(2) + 4)**2. 256*sqrt(3) + 3088 Simplify 3*(1 + sqrt(114)/sqrt(6))**2*5. 30*sqrt(19) + 300 Simplify -2 + (((sqrt(891) + 0)*-2)**2 + sqrt(891) - sqrt(891)). 3562 Simplify 0 + sqrt(35)/(-1*sqrt(7)). -sqrt(5) Simplify 4 + sqrt(17) + -3*sqrt(68). -5*sqrt(17) + 4 Simplify sqrt(405) - ((sqrt(405) + -2)*1)**2. -409 + 45*sqrt(5) Simplify ((sqrt(704) + 2*sqrt(704) + sqrt(704))**2 - sqrt(11)) + -1. -sqrt(11) + 11263 Simplify (-2 + (-2*sqrt(68))**2)*4. 1080 Simplify 1*((sqrt(11) - (sqrt(11) + sqrt(88)/(sqrt(512) - sqrt(8))))*5)**2. 275/49 Simplify ((sqrt(3) + -5 + sqrt(3) + -1 - sqrt(3)) + sqrt(3) + -5 - (sqrt(1470) + sqrt(1470)*2)/sqrt(10))**2. 418*sqrt(3) + 1204 Simplify (3*sqrt(3) + -1)*-1*-3. -3 + 9*sqrt(3) Simplify (-4*sqrt(25) - sqrt(25))/sqrt(5)*5. -25*sqrt(5) Simplify (sqrt(700) + -1 - (2 + sqrt(7)*3))**2. -42*sqrt(7) + 352 Simplify (sqrt(153)*-1*-2)/(sqrt(576)*3). sqrt(17)/12 Simplify ((0 + sqrt(2))*-1 - (sqrt
{ "pile_set_name": "DM Mathematics" }
earrange -4*x + 164*x**3 - 332*x**3 + 167*x**3 + 8 + (0*x**3 - 2*x**3 + x**3)*(1 + 0 + 0) to v + y*x**3 + n*x**2 + d*x and give d. -4 Express -1 + 22*c + 5*c**2 + 21*c**3 - 4*c**2 - 24*c in the form b*c + i + j*c**3 + y*c**2 and give b. -2 Express (-k**3 + 3*k**3 + 4*k**3)*(-2 - 1 + 4)*(-2*k + 0*k + 0*k) as c*k + h + b*k**2 + p*k**3 + a*k**4 and give a. -12 Rearrange 4*b**4 - 4*b**3 + 0*b - 8 + 4 + 0 + b to i + y*b + h*b**4 + l*b**2 + s*b**3 and give i. -4 Express -1336 + 1336 + 52*n**2 as f*n + u + k*n**2 and give f. 0 Rearrange -3*s**3 - 90 + 88 - s + 5*s + (-s**3 + 3*s**2 - 3*s**2)*(2 + 0 - 4) to i*s**2 + n*s**3 + f + k*s and give f. -2 Rearrange (-5 + 2 - z + 1)*(-40*z - 1 + 2 + 33*z) to h + r*z + c*z**2 and give c. 7 Rearrange -28*d + 9*d**3 + 10*d + 1 + 16*d to the form b*d**3 + p*d**2 + o*d + g and give o. -2 Rearrange -4*p**2 - 3*p**3 + 5*p**2 + 0*p + p**2 - 4*p to the form q*p**3 + r + h*p + d*p**2 and give h. -4 Rearrange (-3*f + f + 3*f)*(-1 - 1 + 1) + (-47 + 39 + 118)*(-2 - 2*f + 2) - 4*f + f + f to the form l + d*f and give d. -223 Express 58 + r + r**4 + r - 55 - r**2 as o + s*r**2 + k*r**4 + q*r**3 + m*r and give o. 3 Rearrange (-53 + 13 - 9)*(-4 + 1 + 4)*(-4*l + 2*l - l) to the form r*l + m and give r. 147 Express (-1 - 1 + 1)*(-4*p - 2*p + 4*p) + (2 + 3*p - 2)*(-4 + 4 + 2)*(-3 + 0 + 2) in the form x*p + s and give x. -4 Express -17*n + 11*n + 13*n as r*n + l and give r. 7 Express (g**3 + 0*g**3 + g**3)*(1 - 5 + 2) - g**3 + g - g + 3*g**3 - g**3 - 3*g**3 + 7*g**3 - 8*g**3 + 3*g**3 + 3*g**2 as f*g + q*g**2 + a + s*g**3 and give s. -4 Rearrange -h + h**3 + h + (3 - 3 - 3*h**2)*(24 + 10*h + h - 28) - 2*h**3 + 0 + 0 to the form s*h + b*h**2 + m + w*h**3 and give w. -34 Express -373*u + 20*u**3 + 373*u + 1 in the form l*u + a + g*u**3 + q*u**2 and give g. 20 Rearrange (2 - 3*j + 1 - j)*(1 + 0 - 4 - j) to the form i + n*j**2 + d*j and give d. 9 Rearrange -3 + 12*b + 3 to x + d*b and give x. 0 Express (11*w - 2*w + 3*w)*(2*w**2 + 4 - 4) - 3*w**3 - 2*w + 2*w as y*w + n*w**3 + q*w**2 + a and give n. 21 Rearrange (-4*z + 4*z - z)*((-4 + 2*z + 4)*(2 + 1 - 2) + 4*z - 3*z + 0*z + 0*z + 3*z + 0*z) to c*z**2 + x + f*z and give c. -6 Express -y**3 + 10*y - 22*y - y**3 + 3 + 9*y as g + u*y**3 + h*y + s*y**2 and give g. 3 Rearrange 7 - 7 + 14*s to q*s + u and give q. 14 Express (s - 2*s - s)*(-3*s - 2 + 7*s - s) as h*s + q*s**2 + y and give q. -6 Rearrange -d + 3*d**3 - 2*d**3 - 1 + 0*d**3 to x*d + f + h*d**2 + s*d**3 and give f. -1 Rearrange (0 - 1 + 0)*(-6 + 6 + 13)*(1 - 1 + 2*h) to the form g + i*h and give i. -26 Express (-3*x**2 - x**2 + x**2)*(-41 + x**2 + 41) - 5*x**4 + 6*x**4 - 3*x**4 in the form d*x + z*x**2 + y*x**4 + t*x**3 + j and give y. -5 Rearrange r**2 + 3*r**2 - 2*r**3 + 405 - 401 to the form z*r + j + c*r**2 + d*r**3 and give j. 4 Express (0 - 5 + 3)*(s + s**2 - s) + 70 - 70 - 7*s**2 as w*s**2 + j + f*s and give w. -9 Express 2*h**3 - 5*h**3 + h**3 - 6*h + 3*h as r*h + p*h**3 + l*h**2 + n and give p. -2 Express y**3 + 54*y**2 - y + 0*y - 7 - 2*y**4 - 55*y**2 as l*y**4 + r*y**3 + q*y + o*y**2 + x and give r. 1 Express -28*f - 5*f**3 + 61*f - f**2 - 2 - 31*f as s*f**3 + k + p*f**2 + m*f and give m. 2 Express 5*n**4 + 2 - n**2 - 3*n**4 - 3*n**4 + 2*n**2 in the form r*n**4 + m*n**3 + w*n + y*n**2 + o and give o. 2 Rearrange (0*v + 2*v + 4*v)*(v**3 + 0*v**3 + 4*v**3) to the form d*v**4 + h*v**3 + q + r*v**2 + u*v and give d. 30 Express 634*y + 2*y**3 + 0*y**3 - 625*y - y**2 - 1 - 4*y**4 in the form u*y**4 + l*y**3 + h + p*y + r*y**2 and give p. 9 Express -362*y + 362*y + 3 - 10*y**2 in the form d + a*y + s*y**2 and give d. 3 Express -6*t + t**4 - 2*t - 2*t + t + t**2 in the form j + i*t + b*t**3 + x*t**4 + p*t**2 and give p. 1 Express -5*i**2 + i**2 - 4*i**2 + 6*i**2 in the form w + l*i + n*i**2 and give n. -2 Express 2*p**2 - 2*p**2 - 3*p**4 + (-p**3 + p**3 + 2*p**3)*(2*p - 5*p + p) + 0*p**4 + 0*p**4 - p**4 as k*p**2 + x*p**4 + f*p + g + c*p**3 and give x. -8 Rearrange (-2 + 6 - 2)*(-6 - 4 + 0)*(-u + u - 2*u) to the form x + t*u and give t. 40 Express -14*k**2 + 13*k**2 - 10*k**2 in the form r*k + f*k**2 + p and give f. -11 Express -6*r**2 + r**3 - r + 3*r + 5*r**2 in the form v + z*r**3 + f*r**2 + o*r and give o. 2 Rearrange 10*i + 8*i - 3*i - 2*i to the form s + r*i and give r. 13 Express 8*v - 3*v - 3*v + 8*v + 2*v**3 as z*v**3 + m + b*v + g*v**2 and give b. 10 Rearrange -29*w + 29*w + 8*w**4 + (3*w**2 - w**2 - 3*w**2)*(3*w**2 + 7 - 7) to the form h*w**2 + i*w**4 + d + c*w**3 + s*w and give c. 0 Rearrange 13*r**2 - 12*r**2 - 4*r**2 - 2*r - 2 to the form j + f*r + g*r**2 and give j. -2 Express 15*d**2 + 3*d**2 + 4*d**2 as g*d**2 + j*d + r and give j. 0 Express -6 + 0 - 7*d**2 + 3*d**2 + 8 as x*d + f*d**2 + r and give f. -4 Express (-3*o + 5*o - 18*o)*(-4*o**3 + 0*o**3 + 3*o**3) as m + k*o**2 + r*o**4 + h*o + v*o**3 and give k. 0 Express (4*q**3 - 4*q**3 - q**3)*(17*q - 253 + 253) as o*q**3 + s + j*q**4 + n*q**2 + x*q and give j. -17 Express -4*l**2 + 6*l + 2*l**2 - 2*l + 10*l as k*l**2 + t + q*l and give q. 14 Rearrange -3*s**3 + 2*s**3 + 2*s**3 + (-2*s**2 + 4*s**2 - 6*s**2)*(5 - 5 - 6)*(4*s - 2*s - 4*s) to the form x*s**2 + z*s + b + n*s**3 and give n. -47 Rearrange 36*x**3 - 37*x**3 + 0 - 2*x - 1 to the form g*x**2 + v + t*x + o*x**3 and give t. -2 Rearrange -16*x**3 - 33*x + x**4 + x**2 + 29*x + 15*x**3 - 2 to w*x + f*x**2 + k + g*x**4 + j*x**3 and give g. 1 Rearrange -9*p + 5*p - 11*p to l*p + c and give l. -15 Express -3*f**3 + f**2 - 2 + 2*f**4 - 5*f**4 + 9*f**4 - 2*f**4 - 2*f as k*f**2 + y*f + a + t*f**4 + u*f**3 and give y. -2 Express 10*r - 25*r - 19*r in the form x + v*r and give v. -34 Express 0*r + 3*r - 6*r - 3*r + 2*r - r + (3 - 1 - 6)*(-r + 0*r - r) in the form w + f*r and give f. 3 Express 4*u + 41*u**2 - 38*u**2 + 2 + 0*u in the form p*u**2 + w*u + b and give w. 4 Rearrange n - n - 5 - 19*n + 3 to the form f*n + q and give f. -19 Rearrange 4*x + 11*x - 2*x + 7*x to the form f*x + t and give f. 20 Rearrange (-4*j**2 - 62*j**2 + 8*j**2)*(2 - 2 - 2*j**2) to the form s*j**3 + f*j**2 + a*j + q*j**4 + u and give q. 116 Express (1 + 3 - 3)*((-t - 1 + 1)*(3 + 1 - 1) + 5*t + 3*t + 0*t) as q + i*t and give i. 5 Rearrange 3*z**2 - 6*z**2 - 4*z - 7 + 3*z + (-5 + 5 + z)*(-4*z + 2*z + 3*z) + 0*z**2 + 6*z**2 - 4*z**2 - 2 + 2 + z**2 to the form t*z + f*z**2 + y and give f. 1 Express 0*q**3 + q - 90*q**2 + 93*q**2 + 0*q**3 - q**4 as m*q + h*q**3 + v*q**2 + s + z*q**4 and give s. 0 Express 275*s**2 + s**3 - 134*s**2 - 123*s**2 as t*s**2 + m*s + b + p*s**3 and give p. 1 Express -5 + 72*r**2 - 2*r + 3 - 60*r**2 in the form y*r + p + v*r**2 and give p. -2 Express 9*r + 1055*r**2 + 13*r - 1053*r**2 in the form p*r**2 + u + v*r and give v. 22 Express 4 + 0 + 1 - x**3 - 4 - x**2 in the form n*x**3 + k*x + s*x**2 + f and give s. -1 Express (6*x + 4 - 4)*(3 - 2 - 4) as k*x + a and give k. -18 Rearrange 2*y + 5*y + 6 - 3 + 7*y to j*y + l and give j. 14 Rearrange -2*i**3 - 57 - i**2 - 2*i**2 + i + 54 to f*i + n*i**3 + z + d*i**2 and give d. -3 Express (-3*u**3 + 5*u**3 + 0*u**3)*(5 - 4 + 1) - 104*u**3 + 978 - 978 as w*u**3 + b*u**2 + q*u + c and give q. 0 Express 10*j + 0*j - 14*j as u + x*j and give x. -4 Express (5 - 4 + 0)*(33*j - 55*j + 28*j) as x + q*j and give q. 6 Express 5*j**2 + 10 - 5*j**2 - j**2 + 0*j**2 in the form s*j + t*j**2 + b and give t. -1 Express 4*t**2 + 2*t**3 - 9*t**2 - t + t as a*t**3 + w*t**2 + r*t + q and give w. -5 Express (3*s + 12 + 7 - 23)*(3 + 0 - 1)*(3 + 1 - 3) in the form v + k*s and give v. -8 Rearrange (-p**2 + 3*p**2 + p**2)*(1 - 1 - 2*p)*(-38 - 13 - 26) to the form n*p + t*p**2 + d + f*p**3 and give f. 462 Express 3*y**2 - 8*y**2 - y + 2 - 3 as n*y + m*y**2 + r and give r. -1 Express (-3*v + 3*v - 4*v**2 + (0 + 1 - 3)*(-2*v**2 - 3*v**2 + 4*v**2))*(v**2 + v**2 - v**2) as f*v**4 + w*v**2 + p*v**3 + t*v + r and give f. -2 Rearrange (1 + 0 - 3)*(0*d + 4*d + 4*d)*(-1 - 2*d + 2*d**2 + 2*d)*(d + d - d) to the form b*d**4 + o + r*d**3 + j*d**2 + v*d and give b. -32 Rearrange 21*k**2 + 0*k**3 - 20*k**2 - 3*k**3 to h + s*k**3 + j*k + r*k**2 and give r. 1 Express j**3 + 2*j - 5*j - j - 2*j**2 + j**4 in the form a*j + s*j**4 + m*j**2 + l + y*j**3 and give y. 1 Rearrange 0*d + 0*d - 28*d**2 + 0*d to the form s*d
{ "pile_set_name": "DM Mathematics" }