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the prime factors of f. 13 Let p(w) = -2 - 1 + 3*w - w**2 - 4 - 13*w. List the prime factors of p(-7). 2, 7 Let q = 48 + 34. Let u = 129 - q. List the prime factors of u. 47 Let f = 63 + -25. What are the prime factors of f? 2, 19 Suppose r + 7*u - 2*u = 24, -5*r + 40 = 5*u. What are the prime factors of 1/(r/(-2 - -30))? 7 Let f(w) = -w**3 + 7*w**2 - 5*w - 1. Let b be f(6). Suppose b*h + 18 = 118. Suppose z + 15 = v + 4*v, -4*v + h = 0. List the prime factors of z. 2, 5 Let u(x) = x - 2. Let a be u(-9). Let j(z) = z**3 + 10*z**2 - 13*z - 1. What are the prime factors of j(a)? 3, 7 Suppose -1600 = -5*s + k, 4*s - 1109 = 3*k + 160. List the prime factors of s. 3, 107 Let o be (-1)/((-14)/6 + 2). What are the prime factors of o/(-9) - 31/(-3)? 2, 5 Suppose -2*f - 5*k = -55, -57 = -5*f + 2*k + 66. Let m = 36 - f. List the prime factors of m. 11 Suppose 0 = 3*f + 6, -9 = -i + 3*f + 105. List the prime factors of i. 2, 3 Suppose -19 = -3*s + 101. Suppose q - 4*t - 5 = 0, -4*q + 15 = -q - 3*t. Suppose 0*d = -q*d + s. List the prime factors of d. 2 Suppose -7*p = -2*p - 535. What are the prime factors of p? 107 Let p(b) = -79*b**3 - 2*b**2 + 2*b - 1. Let w be p(1). What are the prime factors of (4/(-10))/(2/w)? 2 Suppose 0 = -2*t + 5*t. Let r(b) = t*b + 0*b + b + 4*b**2. List the prime factors of r(-1). 3 Suppose -4*r + 24 = -4*m, -2*m - r = -5*r + 18. What are the prime factors of ((-42)/m)/((-1)/(-4))? 2, 7 Let t(a) = 8*a - 1. Let x be t(2). Let c be 4/(-6) + x/9. Let m = 5 + c. List the prime factors of m. 2, 3 Let y be 0 - (-12)/(-4)*-4. List the prime factors of (-3)/(-4) + 75/y. 7 Let i = -46 - -66. List the prime factors of i. 2, 5 Let l(u) = 2*u**2 - 3*u - 1. What are the prime factors of l(-3)? 2, 13 Suppose 0 = 3*d - 9, 6*d = -4*g + 3*d + 277. List the prime factors of g. 67 Let u = 7 - 10. Let f = u + 6. List the prime factors of f. 3 Let u = 201 - 70. List the prime factors of u. 131 Suppose 57 = -9*a + 12*a. What are the prime factors of a? 19 Let q = 184 + -65. Suppose x - 35 = 2*k, k + q = 5*x - 47. What are the prime factors of x? 3, 11 Let b(x) = -3*x**3. Let z(k) = -k**3 + 4*k**2 + 5*k + 5. Let t be z(5). Suppose 0 - 5 = t*p. What are the prime factors of b(p)? 3 Suppose 0 = -2*p + 3*p. Suppose -3*z + p*z = -57. List the prime factors of z. 19 Suppose 0 = -3*u - 12, 365 = -4*j - 4*u + 1453. What are the prime factors of j? 2, 3, 23 Suppose 2*w - 46 = -4*x, -x - 4*x + 15 = 0. What are the prime factors of w? 17 Let o(s) = 3*s**2 + 3*s - 15. What are the prime factors of o(-8)? 3, 17 Suppose 5*g = 2*p - 1, 3*p + 2*g - 10 = g. Suppose 0*n + p*n = 12. Suppose 2 - 38 = -n*j. List the prime factors of j. 3 Let q(z) = z**2 - 8*z + 5. Let l be q(7). What are the prime factors of 0/(-3) - (l + -1)? 3 Let i be (-1)/(-3) + 715/15. What are the prime factors of i/9*3/2? 2 Let b be (-3 - -1) + 105/(-15). What are the prime factors of 1 + b/3 - -26? 2, 3 Let w = -10 - -15. Suppose -137 = -w*j - f, -3*j + 0*j - 2*f + 78 = 0. List the prime factors of j. 2, 7 Let s = -14 + 67. What are the prime factors of s? 53 Suppose 2*y - 132 = k + 56, -5*k + 308 = 3*y. List the prime factors of y. 2, 3 Let p(s) = -s**2 - 12*s + 2. What are the prime factors of p(-6)? 2, 19 Let h = 3 + -21. Let y = h - -26. What are the prime factors of y? 2 Let s(b) be the second derivative of 13*b**3/6 - b**2/2 - 4*b. What are the prime factors of s(1)? 2, 3 Suppose 3*s - 1 = 5*h + 39, 4*s - 72 = 2*h. Let y be -3*1/(3/13). Let t = y + s. List the prime factors of t. 7 Suppose 405*k + 285 = 406*k. What are the prime factors of k? 3, 5, 19 Let q(d) be the second derivative of -d**4/12 + d**3/3 + 5*d**2/2 - 2*d. Let i be q(4). What are the prime factors of (-50)/i + 6/18? 17 Let i = 677 - 456. List the prime factors of i. 13, 17 Let f(l) = 2*l - 3. Let x be f(3). Let c(j) = -j**2 - j**3 + 2*j**x + 5 + 3. What are the prime factors of c(0)? 2 Let i = 7 + 94. What are the prime factors of i? 101 Suppose -2*w + 5*o = 26, -6*w + o = -2*w + 34. What are the prime factors of (-112)/w + 2*1? 2 Let u be 2/2 - 3/(-3). Suppose 5*o - 24 = u*y, -y + 9 = -0*o + o. List the prime factors of o. 2, 3 Suppose -3*t + 3*f = -0*t - 420, f - 265 = -2*t. List the prime factors of t. 3, 5 Suppose -5*p = 25, -4*w + 5*w + p = 14. What are the prime factors of w? 19 Let q = 36 + -18. What are the prime factors of -3 + 5 - q/(-2)? 11 Let d(n) = -10*n - 42. What are the prime factors of d(-12)? 2, 3, 13 What are the prime factors of 60 + 3/(-6)*4? 2, 29 Suppose -k = -0*k. Let c = 1 - k. List the prime factors of (-1)/(c*2/(-34)). 17 Let a = 280 + -160. Suppose -3*s = 5*v + 2*s - a, v + 4*s = 33. What are the prime factors of v? 3, 7 Let s be 0 + 3 - (-28)/(-7). Let f = 2 - s. Suppose -11 = -f*o + 34. What are the prime factors of o? 3, 5 List the prime factors of 12/90*84 - (-1)/(-5). 11 Let t(o) = 7*o**3 + o**2 - o - 1. Let z be t(-1). Let q be (8/3)/(z/(-9)). List the prime factors of (-1)/((1/(-1))/q). 2 Let x = -3 + 4. Let u be (11 - x) + (2 - 2). Suppose u = 4*y + y. What are the prime factors of y? 2 Suppose 3*n = -d + 329, -2*d + 228 = 2*n + 3*d. Suppose -4*c - 3*l - 13 = -n, -100 = -4*c - 2*l. What are the prime factors of c? 3 Suppose -5*a = -4*w + 30, -5*w + 2*w + 40 = 5*a. Suppose -f = -0 - w. Suppose 5*m - 30 = f. What are the prime factors of m? 2 List the prime factors of -18 - -16 - (2 + -118). 2, 3, 19 Suppose 4*r + i - 184 = 0, 0 = -2*r + r + 5*i + 67. What are the prime factors of r? 47 Let h = 14 + 7. Let z = 0 + h. List the prime factors of z. 3, 7 Let v be (-3)/((-10)/(-4) - 1). List the prime factors of (5/v)/(6/(-36)). 3, 5 Let o be 16 - 5/((-10)/(-6)). Let j = 22 - o. List the prime factors of j. 3 Let v = 188 + -97. Suppose -v = -3*p + 20. List the prime factors of p. 37 Let s(x) = -2*x**3 - 15*x**2 + 21*x + 11. Let o(b) = b**3 + 8*b**2 - 11*b - 6. Let m(q) = 5*o(q) + 2*s(q). List the prime factors of m(-11). 2, 7 Let d(p) = -4 + 7*p + 5 - 3. List the prime factors of d(2). 2, 3 Let q = -123 - -187. What are the prime factors of q? 2 What are the prime factors of 2/(16/(-6))*-72? 2, 3 Suppose -4*y + 33 = -7*y. Let o = 6 + 16. Let c = o + y. List the prime factors of c. 11 Let w = 72 - 41. What are the prime factors of w? 31 Let a be 37/5 + 6/10. What are the prime factors of (a/(-14))/(6/(-21))? 2 Let c(b) = -b**2 + 6*b + 4. Let m be 301/63 - 2/(-9). Let a be c(m). List the prime factors of (6/a)/((-6)/(-63)). 7 Suppose -g = -0*g - 11. Suppose -g = -3*j + 31. What are the prime factors of j? 2, 7 Let u(n) = 2*n - 5. Let h(v) = -v + 18. Suppose -4*r + r + 27 = 0. Let j be h(r). List the prime factors of u(j). 13 Let h(y) = 187*y**2 - 2*y + 2. List the prime factors of h(1). 11, 17 Let m(j) = -2*j**2 - 14*j + 12. Let h be m(-11). What are the prime factors of h/(-3) - (-5)/(-15)? 5 Suppose -87 = -p + 146. What are the prime factors of p? 233 Let b(v) = -v**3 + v**2 + 2*v + 66. List the prime factors of b(0). 2, 3, 11 Let s(l) = -2*l - 4. Let z be s(-3). Let w(k) = k**3 - k - 2. Let v be w(z). Suppose -4*c = 2*d, v*c + 18 = 6. List the prime factors of d. 2, 3 Let s = -279 + 500. What are the prime factors of s? 13, 17 Let c = 83 + -26. Let y = c + -38. List the prime factors of y. 19 What are the prime factors of 2/(4/(-1))*(5 + -119)? 3, 19 Let h be -2*(-2)/4*0. Suppose -3*w + h*w - 21 = 0. Let d(u) = u**3 + 8*u**2 + 6*u + 2. What are the prime factors of d(w)? 3 Suppose -4*m + m = -5*s - 10, -m = 3*s - 8. Suppose 2*d = -m*r - d + 161, -89 = -3*r + 2*d. What are the prime factors of r? 31 Suppose 2*g + 5*c + 15 = 260, 0 = -3*g + 2*c + 396. What are the prime factors of g? 2, 5, 13 Suppose -5*n = 43 + 32. Let s = 16 - n. List the prime factors of s. 31 Let z(a) = a**3 - 7*a**2 + 5*a + 6. Let q be z(6). What are the prime factors of 1/(q + (-1)/(-25))? 5 Let q(i) = i**2 - 6*i + 3. Let s(r) = 2*r**2 - 4*r + 1. Let t be s(3). What are the prime factors of q(t)? 2, 5 Suppose -3*b - 11 - 4 = 0. Suppose 7*h - 54 + 5 = 0. Let o = h + b. List the prime factors of o. 2 Let h be ((-9)/3 - -1) + -31. What are the prime factors of (h/(-6))/(1/2)? 11 Let k(n) = n**2 + 9*n. Let t(c) = -c - 1. Let m(i) = k(i) + 6*t(i). Let s be m(-5). Suppose 0 = -r + s*r - 9. What are the prime factors of r?
{ "pile_set_name": "DM Mathematics" }
2098 in descending order. 2098, 5, 0 Put -5, 2/7, 53/14, 0.01, 3/2 in descending order. 53/14, 3/2, 2/7, 0.01, -5 Sort -0.5, 0, -322, 56/5 in ascending order. -322, -0.5, 0, 56/5 Sort -4, -1, -2532, 2, 3, -5 in descending order. 3, 2, -1, -4, -5, -2532 Put -42, -3, 2, -2, -25 in decreasing order. 2, -2, -3, -25, -42 Put 4, 9831, 2/91 in descending order. 9831, 4, 2/91 Sort 1, -390, 5, -39. -390, -39, 1, 5 Sort -19169, -2, 2 in descending order. 2, -2, -19169 Sort 2, -3, -5, -27, -1 in decreasing order. 2, -1, -3, -5, -27 Sort 64, 3/5, -0.3, 0.1, -8 in descending order. 64, 3/5, 0.1, -0.3, -8 Put 2.41, 4, 0.3, 391, 0 in decreasing order. 391, 4, 2.41, 0.3, 0 Put -4/19, 3/16, 5, -2, 32 in descending order. 32, 5, 3/16, -4/19, -2 Put -3, 15, 18521 in ascending order. -3, 15, 18521 Sort 9, -119/4, -2, -4, 1/3, 4 in increasing order. -119/4, -4, -2, 1/3, 4, 9 Sort 2, 13/564, -0.4 in increasing order. -0.4, 13/564, 2 Sort 183, -6, -1 in decreasing order. 183, -1, -6 Sort 77, 31, 3, -1, -2 in ascending order. -2, -1, 3, 31, 77 Put 2, 6, 0, 171/5 in decreasing order. 171/5, 6, 2, 0 Sort 5, -5, -2, 3, 2922 in descending order. 2922, 5, 3, -2, -5 Put -9/35, -1/3, 1.7, 1/4, 0.4 in increasing order. -1/3, -9/35, 1/4, 0.4, 1.7 Put 5, 2/5, -203, 89 in decreasing order. 89, 5, 2/5, -203 Sort -4, 1/12, -2/7, -8, -5, -2. -8, -5, -4, -2, -2/7, 1/12 Put 210, 1, 8/15 in descending order. 210, 1, 8/15 Sort 2.8, 1, -924 in descending order. 2.8, 1, -924 Sort 0.0791, -6/11, 1, 0.3. -6/11, 0.0791, 0.3, 1 Sort -104/113, 0.8, 0.5 in descending order. 0.8, 0.5, -104/113 Sort -2/159, 0, 524. -2/159, 0, 524 Sort -404, -21, 3, 1, 2 in descending order. 3, 2, 1, -21, -404 Sort 2, 43, -2, -4, -15 in increasing order. -15, -4, -2, 2, 43 Sort 353537, 0, -2. -2, 0, 353537 Sort 4, 3, -98, -2, 5. -98, -2, 3, 4, 5 Put -548, -131, -2 in descending order. -2, -131, -548 Sort 1.3, -6, 5, 1/8, -2/17. -6, -2/17, 1/8, 1.3, 5 Put 5, 2, -5, 3, 60, 208 in increasing order. -5, 2, 3, 5, 60, 208 Put 35, -17, 4, -209, -2 in ascending order. -209, -17, -2, 4, 35 Sort 8023, 2/11, 2/25, 0.5 in increasing order. 2/25, 2/11, 0.5, 8023 Put -4, 0.07, -1/4, 208 in descending order. 208, 0.07, -1/4, -4 Sort 2/11, -1115, -4, -1. -1115, -4, -1, 2/11 Sort 2/9, 157476, -2 in decreasing order. 157476, 2/9, -2 Sort 1, 433, 10, 0, 5, 6 in ascending order. 0, 1, 5, 6, 10, 433 Sort 7, -29, 23, 0, -3, 1. -29, -3, 0, 1, 7, 23 Sort -0.08, -221, -0.2, -11 in ascending order. -221, -11, -0.2, -0.08 Sort 0, -5000, 5, 4, -3. -5000, -3, 0, 4, 5 Sort 11, -2, -66, -3, 4, -5 in decreasing order. 11, 4, -2, -3, -5, -66 Put 2, 3.19, -40 in descending order. 3.19, 2, -40 Put -6, -38934, -1/5 in ascending order. -38934, -6, -1/5 Put -1, 0.05, 0.3, -0.24, -1/3 in ascending order. -1, -1/3, -0.24, 0.05, 0.3 Put -12, 80, 0 in descending order. 80, 0, -12 Put 5, -0.148, 2/5, -2/5, -0.2 in descending order. 5, 2/5, -0.148, -0.2, -2/5 Sort -3, 2, 76, -264 in decreasing order. 76, 2, -3, -264 Sort 5, -17, 3086, -4 in decreasing order. 3086, 5, -4, -17 Sort 6/7, 733/2, 0.7 in decreasing order. 733/2, 6/7, 0.7 Sort -2523, 1, -4, 5. -2523, -4, 1, 5 Sort -1/6, 10024, -0.2, 0, -0.4 in decreasing order. 10024, 0, -1/6, -0.2, -0.4 Put 19, 0, 13/6, 0.5, 0.06 in descending order. 19, 13/6, 0.5, 0.06, 0 Put 14, -0.5, 3, -1/6, 13/62 in descending order. 14, 3, 13/62, -1/6, -0.5 Sort -1, -7, -88, -18 in increasing order. -88, -18, -7, -1 Sort 0, 7199, 3, 12, -5 in descending order. 7199, 12, 3, 0, -5 Sort -5/3, -2640, 194 in descending order. 194, -5/3, -2640 Put 4/13, 0.1, 1/4, -16 in increasing order. -16, 0.1, 1/4, 4/13 Put -1, 11, 8, 1, -5, -13 in increasing order. -13, -5, -1, 1, 8, 11 Sort -1, -5, 1/2, 3, 367, 0 in descending order. 367, 3, 1/2, 0, -1, -5 Sort 9, -4, 303, 13, -1. -4, -1, 9, 13, 303 Put 2/13, 5407, -84 in ascending order. -84, 2/13, 5407 Sort -39, -2, 2, 3, -5. -39, -5, -2, 2, 3 Put -463, 23, 0, 2 in increasing order. -463, 0, 2, 23 Sort 0, -174, 1, -9, 71. -174, -9, 0, 1, 71 Put 102, 2, -1405 in descending order. 102, 2, -1405 Sort -512, -3, 4, 19, -2 in decreasing order. 19, 4, -2, -3, -512 Sort -3, -157226, -8 in ascending order. -157226, -8, -3 Sort 2, 0, -2/58459 in descending order. 2, 0, -2/58459 Sort 6, 1834, 0.1, -1/2. -1/2, 0.1, 6, 1834 Put 15388, 5, -45 in decreasing order. 15388, 5, -45 Sort 6/61, -3/4, -2/9, 12 in decreasing order. 12, 6/61, -2/9, -3/4 Put -140582, -6, -5 in ascending order. -140582, -6, -5 Sort -109, 7, 7/2 in increasing order. -109, 7/2, 7 Sort 2, 3, 273908. 2, 3, 273908 Sort -5, 4, -21, 3226 in decreasing order. 3226, 4, -5, -21 Sort 17, -1, -1091 in descending order. 17, -1, -1091 Sort 14, 203, -1/10. -1/10, 14, 203 Sort -0.41, -4/3, -0.5, -0.08, 16 in decreasing order. 16, -0.08, -0.41, -0.5, -4/3 Sort -5100, -27, -5 in descending order. -5, -27, -5100 Put 22, 3, -4, 6, 1 in increasing order. -4, 1, 3, 6, 22 Put 2, -562, -71 in descending order. 2, -71, -562 Sort 6, -2, 0, 3, 8 in increasing order. -2, 0, 3, 6, 8 Put 53.6, 0.3, 2/9, 3, -4 in decreasing order. 53.6, 3, 0.3, 2/9, -4 Put -0.2, -1/23, 2.7, 2 in ascending order. -0.2, -1/23, 2, 2.7 Sort -98, -29, -5, 4, 3, 8 in increasing order. -98, -29, -5, 3, 4, 8 Put -21, -374, 3, -5 in decreasing order. 3, -5, -21, -374 Put -1, 1, -272 in decreasing order. 1, -1, -272 Sort 4/33, -0.2, -964. -964, -0.2, 4/33 Sort -96, 3, -17, 6, -5 in decreasing order. 6, 3, -5, -17, -96 Sort -2296.8, -1, -2/31 in descending order. -2/31, -1, -2296.8 Sort 5, 3, 10, -1944. -1944, 3, 5, 10 Sort 115, -5, -2.44, -0.7 in decreasing order. 115, -0.7, -2.44, -5 Sort 6/11, -17, 4, -3, -5/2, 46 in descending order. 46, 4, 6/11, -5/2, -3, -17 Sort -7, -4, -18, 34 in increasing order. -18, -7, -4, 34 Put -1, 6, 4, 12, 3 in increasing order. -1, 3, 4, 6, 12 Sort 2, 3, 1, -4, -3273, 11 in descending order. 11, 3, 2, 1, -4, -3273 Sort 11, 0, 60, 8, 1. 0, 1, 8, 11, 60 Sort -3, 15, 39, -4, 2 in decreasing order. 39, 15, 2, -3, -4 Sort 3, 4, 0, 5, 14, -5 in increasing order. -5, 0, 3, 4, 5, 14 Put -20, -3, 5482 in ascending order. -20, -3, 5482 Sort 5, -5.1, -1, 0.18, 0.5 in decreasing order. 5, 0.5, 0.18, -1, -5.1 Sort 5, 3, 999, 2 in decreasing order. 999, 5, 3, 2 Put -139, 2/11, -1374, -4 in decreasing order. 2/11, -4, -139, -1374 Put 1, -276, -111, -1, -5 in descending order. 1, -1, -5, -111, -276 Sort 2, 2/13, -22/119, -5. -5, -22/119, 2/13, 2 Put 5, -3, -8, 2302, 0, 3 in increasing order. -8, -3, 0, 3, 5, 2302 Put -3, -7, 3, 4, 1924 in decreasing order. 1924, 4, 3, -3, -7 Sort 0.2, 0, -1/2, -3, 2285 in descending order. 2285, 0.2, 0, -1/2, -3 Sort -1, 264, 3, -7, -2 in ascending order. -7, -2, -1, 3, 264 Sort -1, -123, -38, -2, 4. -123, -38, -2, -1, 4 Sort 72, 0, 1.32, 1, -3/5 in ascending order. -3/5, 0, 1, 1.32, 72 Put -4, 21, -3/4, 0.3, 1/4, 2/9 in decreasing order. 21, 0.3, 1/4, 2/9, -3/4, -4 Sort -2, -1, -194, 5 in decreasing order. 5, -1, -2, -194 Sort -2, -3, -738, 4, -1 in decreasing order. 4, -1, -2, -3, -738 Put 13, -6, 3, -22, 4, 5 in descending order. 13, 5, 4, 3, -6, -22 Put -3, -132390, 2 in decreasing order. 2, -3, -132390 Sort -468, -1/49, 0.3, 1. -468, -1/49, 0.3, 1 Sort -20, 0, 7429 in descending order. 7429, 0, -20 Put 12, 13, 1, 277 in descending order. 277, 13, 12, 1 Sort 20, 4, -116, 1. -116, 1, 4, 20 Sort -0.2, -11/3, -6, -127, 4. -127, -6, -11/3, -0.2, 4 Put -2, -42, -13, 0, 1 in descending order. 1, 0, -2, -13, -42 Put -1033, -0.3, -1, -3, -27 in descending order. -0.3, -1, -3, -27, -1033 Sort -4, 0.3, -1359574 in decreasing order. 0.3, -4, -1359574 Sort 14, 3, 680. 3, 14, 680 Sort 0.2, -74/15, -2, -19, 1/3. -19, -74/15, -2, 0.2, 1/3 Sort 24, -15, -8 in descending order. 24, -8, -15 Put 715296, -2, 3 in decreasing order. 715296, 3, -2 Sort 63/5, 1, 0, 6/7, -5 in increasing order. -5, 0, 6/7, 1, 63/5 Put 11, -6080, -1.9 in ascending order. -6080, -1.9, 11 Put -4, -1, -3, -31, -2, 203 in descending order. 203, -1, -2, -3, -4, -31 Sort -2/9, -1.1, -49, -5, -4, 1/42 in increasing order. -49, -5, -4, -1.1, -2/9, 1/42 Sort 0.5, -1.12, -42.3 in ascending order. -42.3, -1.12, 0.5 Sort -1, 48, 42, -3, 1 in descending order. 48, 42, 1, -1, -3 Sort -1676, 3, 8 in descending order. 8, 3, -1676 Sort 5, 0.2, 2/5, 1/3, -24 in ascending order. -24, 0.2
{ "pile_set_name": "DM Mathematics" }
15 = -2*o, -r*o + 2*m = -3*m + 25. Solve -k + 4*k - 15 = o for k. 5 Suppose 46 = 8*k + 6. Suppose -2*i + 4*i + k*p + 9 = 0, -i = p. Solve 0*d - 3*d + i = 0 for d. 1 Let h(i) = 3564*i**2 - 3565*i**2 - 22 + 6*i + 28*i. Let u be h(33). Solve u*p + 15 = 16*p for p. 3 Let n(z) = -z - 1. Let i(j) = 3*j**2 - 41*j - 28. Let q(s) = i(s) + 2*n(s). Let m be q(15). Solve -4*p + 2 - 6 = m for p. -1 Suppose -11*t - 54 = -20*t. Suppose -d = 2*k - t*d - 23, 4 = 4*d. Suppose -9*f + 50 = k. Solve -2*x + f = -4*x for x. -2 Suppose -3*x - 2*v = 145, -v + 0*v = 5. Let z = x + 21. Let w be z/(-5) + (-2)/(-10). Solve 5*l + w = -5 for l. -2 Let t be 166/4 - 21/42. Let u(m) = -7*m**2 + 37*m - 4. Let y be u(5). Solve -y*r + 11 = t for r. -5 Let n = -192 + 216. Suppose 0 = -n*f + 30*f - 18. Solve -f*k - k - 12 = 0 for k. -3 Let z = -237 + 237. Suppose -2*k - x + 18 = z, 0 = -5*k + x + 49 - 11. Solve -k = -5*d - 33 for d. -5 Let r(f) be the second derivative of -f**3/6 + 3*f**2/2 + 6*f. Let d be r(-3). Solve -d + 11 = -l for l. -5 Let j(n) = -n**2 - 11*n + 3. Let c be j(0). Suppose 0 = -2*q - 6, a + 15 - 24 = c*q. Solve a = d - 1 - 1 for d. 2 Let g(c) = 2*c**2 + c. Let d(j) = j**2 - 9*j - 1. Let a be d(0). Let z be g(a). Solve 0*q + z = q for q. 1 Suppose -4*q + 46 = -38. Solve 47*d - q = 54*d for d. -3 Suppose 26*s - 9*s - 3417 = 0. Solve s - 54 = 21*v for v. 7 Let x(h) = -h**3 + 15*h**2 - 21*h - 151. Let m be x(8). Solve -124*z - 30 = -m*z for z. 6 Let c be (7 - 3)*(-143)/(-52). Suppose -2*n = -7*n + 5*x + 175, -4*n - 5*x + 176 = 0. Suppose -7*d + n = c. Solve -d*v = v - 15 for v. 3 Let s(y) = y**3 - 4*y + 3. Let p be s(2). Suppose -4*u = 7*u - p*u. Let w be 4/6*((-18)/(-4) + u). Solve 0*r = r - w for r. 3 Suppose 148 = -130*j + 64*j + 70*j. Solve 11 = -26*h + j*h for h. 1 Suppose -19*i = 20*i - 23*i - 1344. Solve -76*c - 40 = -i*c for c. 5 Suppose 42 = b + 20*b. Suppose b = k, 3*j = 4*j + k - 9. Solve j*s - 6*s = -3 for s. -3 Suppose b + 66 - 47 = 5*n, -5*n + 5 = -15*b. Solve 229 = n*p + 257 for p. -7 Let i(b) = 277*b - 6008. Let u be i(24). Solve 9*g + u = 568 for g. -8 Suppose 0 = b - 5*b + 36. Let x(a) = -a**3 + 7*a**2 - 2*a + 15. Suppose 17*k = 6*k + 77. Let v be x(k). Solve -5*m + b = -v for m. 2 Let o = -24507 - -24513. Let w = 3 - -1. Suppose 4*y - y + 9 = 5*q, -4*q + 4 = -w*y. Solve 4*a - y*a = -o for a. -3 Let z = 34 - 24. Let p = 105 + -105. Suppose 36*y - 30*y = p. Solve y = 2*o - 7*o + z for o. 2 Let t(w) = -1420*w - 8676. Let j be t(-8). Solve 64 = -j*x + 2692*x for x. 8 Let t = 4077 - 3799. Solve t - 316 = 19*p for p. -2 Let r(c) be the third derivative of c**4/4 - 11*c**3/2 + 7*c**2. Let d be r(6). Solve d*g - g = 0 for g. 0 Let o(k) = -k - 17. Let q be o(-20). Suppose 0 = 4*n - 4*r - 40, -2*n + q*r + 19 - 4 = 0. Solve -2*y = y - n for y. 5 Let m(y) = -y**2 + 180*y + 1316. Let s be m(-7). Solve -22*c = -s*c - 15 for c. 1 Let b = 4503 - 4497. Solve -b*d + 42 = d for d. 6 Let b = -2665 - -3247. Solve -533 = 7*j - b for j. 7 Let n = -250 - -350. Let k = n + -97. Solve -k*z - 9 = -0*z for z. -3 Suppose 100266*v - 216 = 100239*v. Solve -y + 21 = -v*y for y. -3 Suppose z - 34 = 5*a, -10*a = -5*z - 12*a + 35. Suppose -z*r + 50 = 2*y - 5*r, 136 = 4*y - r. Solve 5*h + 8 - y = 0 for h. 5 Suppose -2 - 2 = -315*p - 4. Solve p = 2*l + 31*l - 231 for l. 7 Let u = 20 + -20. Suppose -7*z = -41 - 1. Let n be (1 + -2*3/z)/2. Solve 4*b - 4 + n = u for b. 1 Let p(z) = -15*z - 88. Let j be p(-6). Let x(n) be the first derivative of -n**4/4 + n**3 - n**2 - 3. Let d be x(j). Solve d = 5*w - 20 for w. 4 Suppose -15 = -x + 3*c + 4, 45 = 5*x - 5*c. Let b = 11 + -38. Let v = -12 - b. Solve -v = x*f + f for f. -3 Let k = 7 + 9. Suppose 81*q = 79*q + k. Solve -i + q - 12 = 0 for i. -4 Let g(r) = -r**3 + 61*r**2 - 335*r + 300. Let b be g(55). Solve 9 = b*d + 109 for d. -4 Let c be (3 + -48)*(-6)/10. Let t = -17 + c. Let x = 12 - 8. Solve 0 = -q - x*q + t for q. 2 Let q = -345 + 347. Let m be (-92)/(-4)*q*(-4)/(-8). Solve f - 19 + m = 0 for f. -4 Let o(q) = 15*q + 110. Let s be o(-7). Suppose -p + 31 = 5*b, -14*p + 19*p + 25 = s*b. Solve -b = 2*k - 0 for k. -3 Let b(g) be the second derivative of 11*g**3/6 + 3*g**2/2 - 2*g - 28. Let m be b(0). Solve -m*h - 4 = -19 for h. 5 Suppose -3*w = -2*w - 6. Let x(u) = 2*u**3 + 8*u**2 - 16*u - 61. Let r be (-1)/((-25)/(-68) - 20/170). Let f be x(r). Solve 5*t = f*t + w for t. 3 Suppose 24*a = 27*a - w - 1143, 2*a + 5*w - 711 = 0. Solve a*r - 381*r = 15 for r. -5 Let b(i) = 10*i - 16. Let s(w) = -w - 9. Let r be s(-12). Let c be b(r). Solve 7*u = -c - 21 for u. -5 Suppose -2*w = 138*i - 136*i - 78, -5*w + 2*i = -251. Solve 0 = w*f - 55*f + 40 for f. 5 Suppose -2*o - 16 = -10*o. Let i(f) = 15*f - 9. Let m be i(o). Suppose -8 = -m*l + 17*l. Solve l + 2 = 4*t for t. 1 Suppose 6*z + 9*z = 21*z - 7*z. Solve z = -52*v - 63 - 41 for v. -2 Let t = 11 - -14. Let q = t + -25. Suppose 3*r - 9 + 0 = q. Solve x + 2 = r for x. 1 Let w be (0 + 0)*(-2)/4. Suppose 2*p - 136 + 360 = 0. Let c = p - -116. Solve -5*r + 1 + c = w for r. 1 Let n(b) = -b**3 - 4*b**2 - 8*b. Let g be n(-6). Suppose -3*w - g = -0*w. Let c = 46 + w. Solve c = -2*a - 0 for a. -3 Let u(i) = -3*i**3 + 175*i**2 - 59*i + 103. Let p be u(58). Solve -p + 9 = 6*h for h. -6 Suppose -42*u - 324*u + 8*u + 310386 = 0. Solve -u*y + 861*y - 18 = 0 for y. -3 Let h be ((-2)/6)/((-24)/(-6768)). Let k = h + 109. Solve j = -4*j + k for j. 3 Suppose -12*f - 12 = -15*f. Let m(n) = 9*n**2 - 2*n - 1. Let s be m(1). Suppose s*h - 7*h + 5 = 0. Solve f*w = -3 - h for w. -2 Suppose 0 = -213*b + 219*b - 168. Suppose 18*r - b = 44. Solve -12 = -0*o - r*o for o. 3 Let l be (1/(-2))/((-1)/40). Let c(n) = 32*n + 101. Let x be c(-3). Suppose -25 = x*i, -5*i - 4 + 3 = 4*w. Solve l = -w*d + d for d. -4 Let j = 45 + -27. Suppose 4*l - 3*u + j = 3*l, 3*l = -5*u - 124. Let d = l + 39. Solve o - d*o = 0 for o. 0 Suppose n + 4*h = 956 - 340, 5*n - 3176 = 4*h. Let w = n + -632. Solve w*t - 2 = -t for t. 2 Suppose -18*w = -17*w - 5*i - 159, -5*w = 5*i - 615. Solve -w*v + 54 = -111*v for v. 3 Suppose 5*w - 3*o - 322 - 26 = 0, -w = o - 68. Let h = w + -12. Suppose h + 24 = 9*m. Solve 0 = -0*d + 3*d + m for d. -3 Suppose 24*f - 182 = 144 + 346. Solve -f = 17*s + 74 for s. -6 Let m be 4/7 - (-96)/(-168). Solve 54*r - 52*r - 6 = m for r. 3 Let n(l) = l**3 + 9*l**2 + 4*l + 1. Let a be n(-8). Suppose -2*o = -w - 11, o + 0*o - 4 = -w. Suppose o*k - a = -18. Solve 7 = k*c - 8 for c. 5 Let v = 3109 + -3000. Solve -v = 10*b - 149 for b. 4 Suppose 2250 = 7*s + 18*s. Suppose 0 = -5*l + 4 - 434. Let h = l + s. Solve -6*k = -5*k + h for k. -4 Let d(a) = -6*a - 121. Let s be d(-20). Let k be (10 - (6 - s))*2/2. Solve -k = -5*t - 8 for t. -1 Suppose -5*w = -6*w + 10*w. Suppose -4*y + 36 = 5*x, w*y - y = -3*x - 9. Let m(h) = 3*h - 22. Let c be m(y). Solve -c = -3*d + 7 for d. 4 Let t(q) = -q**2 - 78*q - 791. Let w be t(-59). Solve w*v + 72 = 318*v for v. -6 Let p be 50/18 + 2*(-2)/(-18). Let q be (2/p + -2)/((-6)/18). Let w be q/14 - (-5 + (-37)/(-7)). Solve 3*y = -w*y for y. 0 Suppose -584*a + 71892 = 10030 - 22234. Solve 21*n + a = 57*n for n. 4 Let j be -1*32 - (-1 + -1). Suppose -127 = -2*w - 3*b - 154, -3 = w - 2*b. Let k be ((-54)/(-15))/(w/j). Solve 6*x = 3*x + k for x. 4 Let f(j) = j**3 + 2*j**2 - 7*j + 7. Let w = 589 + -593. Let b be f(w). Solve b*o = -38 + 35 for o. -1 Let q(a) = a**3 + 23*a**2 + 42*a - 25. Let o be q(-21). Let p be (-23 - o) + (0 - -202). Suppose 0 = -p*n + 201*n + 12. Solve -5*t - n = 11 for t. -3 Suppose 922*m - 5446 = -530*m - 322*m + 3424. Let v = 2 + -2. Solve b + v - m = 0 for b. 5 Let d = 233 - 238. Let t be 2 - -5 - (-11 + d). Solve 6*l + t = -7 for l. -5 Let x(f) = 12*f - 590. Let p be x(53). Solve p = -12*t - 14 for t. -5 Let p = 2 + 7. Suppose 16*s - 80 = -4*s. Let w(n) = -n**3 - 8*n**2 + 9*n. Let r be w(-9). Solve -s*a - 1 + p = r for a. 2 Suppose 4*l + 26 = u, 0 = -u - 4*u - 2*l + 20. Suppose 0 = 2*c + 6*i - 10*i - 138, -209 = -3*c + 5*i. Suppose 0 = 72*b - c*b. Solve -v + 3 - u = b for v. -3 Suppose 809 + 2368 + 2913 = 105*l. Solve 11*a = -36 + l for a. 2 Suppose -5124*c + 5137*c - 130 = 0. Solve -12*g + c = -7*g for g. 2 Suppose -6*w - 39 = -b - 2*w, 4*b - 2*w - 156 = 0. Solve -k - 36 + b = 0 for k.
{ "pile_set_name": "DM Mathematics" }
g(y) = y - 1. Calculate i*g(u) + o(u). -15*u**2 - 1 Let l(s) be the second derivative of -s**3/6 + 7*s**2/2 + 1144*s. Let i(h) = 6*h - 36. Calculate -3*i(f) - 16*l(f). -2*f - 4 Let q(j) = j**3 + j. Let d(x) be the third derivative of 1/3*x**3 - 1/8*x**4 - 1/30*x**5 + 0 - 1/30*x**6 + x + 9*x**2. Give -d(i) - 3*q(i). i**3 + 2*i**2 - 2 Let o(t) = 3*t - 19. Let y be o(8). Suppose 2*s + g + 1 = y*s, s = g - 3. Let j(q) = -7*q**2 - 3*q + 3. Let i(c) = -7*c**2 - 2*c + 2. What is s*j(u) - 3*i(u)? 7*u**2 Let l(a) = 4*a**3 + 3*a**2 - 3*a - 14. Suppose -3404*y - 60 = -3384*y. Let q(m) = 11*m**3 + 8*m**2 - 8*m - 43. Determine y*q(o) + 8*l(o). -o**3 + 17 Let y(u) = 1477*u**2 - 14*u + 5. Let s(q) = q**2 - 3*q + 1. Determine -15*s(i) + 3*y(i). 4416*i**2 + 3*i Let p(w) = w**3 - 3*w**2 - 3. Let l(x) = x**3 - 13*x**2 - 5. Let m(t) = -2274*t**2 + 2*t + 2272*t**2 - 2*t. Let r(i) = -l(i) + 4*m(i). What is 5*p(a) + 3*r(a)? 2*a**3 Let s(w) = -w - 6. Let o = -4 - -1. Let i(c) = 20 - 5 + 24 - 27 - c - 17. Calculate o*s(k) + 4*i(k). -k - 2 Let m(p) = -4*p**2 - 2*p. Let l(n) = 840*n**2 - 448*n. Give 3*l(g) - 672*m(g). 5208*g**2 Let w(p) = 1887*p**3 + 6*p**2 + 6*p - 3. Let x(c) = -116994*c**3 - 370*c**2 - 370*c + 185. Determine -185*w(j) - 3*x(j). 1887*j**3 Let q(b) = -5*b + 4. Let s(z) = 3 - 4*z - 12*z + 12*z. Calculate -5*q(u) + 6*s(u). u - 2 Let f(i) = -i. Let k(b) = -b. Let q be 16/(-20)*10/6*3. Let l be ((-20)/(-5))/(q/(-6)). Let w(a) = -2*a + 15. Let x be w(l). What is x*k(m) - 2*f(m)? -m Let o(r) = r**2 - 7*r + 1. Let c(l) = 1840*l**3 - 560*l**2 + 3920*l - 560. Determine -10*c(i) - 5600*o(i). -18400*i**3 Let p(k) = -45*k**3 - 2*k**2 + 37*k. Let j(g) = -89*g**3 - 5*g**2 + 81*g. Determine -4*j(i) + 10*p(i). -94*i**3 + 46*i Let h(s) = 14*s - 101. Let d(q) = -45*q + 321. What is 6*d(a) + 19*h(a)? -4*a + 7 Let o(u) = -566244*u - 34133. Let p(k) = 3852*k + 232. Calculate -8*o(d) - 1177*p(d). -3852*d Let b(c) = 27*c - 5. Let u(o) = -2*o - 3. Let k(z) = -11*z - 28. Let v(w) = -2*k(w) + 18*u(w). Give -2*b(t) - 5*v(t). 16*t Let i(k) = k**3 + 30*k**2 + 5*k - 3. Let l(a) = a**3 + a**2 + a - 1. Give i(q) - 5*l(q). -4*q**3 + 25*q**2 + 2 Suppose -760 = -2*k + 4*f, 371 = -16*k + 17*k + f. Let t = 366 - k. Let w(b) = -4*b**2 - 8. Let j(a) = 0 - 5*a**2 + 4*a**2 - 3. Give t*j(o) + 3*w(o). -4*o**2 Let o(a) = -a**2 - 50*a + 1. Let h(i) = 8367*i**3 + 18*i**2 + 900*i - 18. Give h(c) + 18*o(c). 8367*c**3 Let x(p) = -5. Let o(b) = 1. Let j(h) = -25*o(h) - 4*x(h). Let g(m) = m - 2. Let w(f) = -3*g(f) + j(f). Let z(v) = v - 1. Calculate w(r) + 2*z(r). -r - 1 Let u(i) = i**2 + i + 3. Let f(s) = 2*s**2 + 2*s - 55. Calculate f(h) - 6*u(h). -4*h**2 - 4*h - 73 Let n(d) = 135*d + 21. Let h(t) = 395*t + 64. Determine 6*h(g) - 17*n(g). 75*g + 27 Let i(k) = 5*k + 1. Let o(y) be the second derivative of y**3 + y**2/2 + 113*y - 5. Calculate 4*i(h) - 3*o(h). 2*h + 1 Let c(t) = 39*t - 2. Let j(i) = -390*i + 21. Let n = 3823 + -3821. Give n*j(f) + 21*c(f). 39*f Let u(d) = -30*d + 4*d**3 + 3 - 32*d - 3 - 8*d**2 + 57*d. Let t(a) = 4*a**3 - 7*a**2 - 4*a. Suppose 0 = 4*l - 6 - 14. Calculate l*t(s) - 4*u(s). 4*s**3 - 3*s**2 Let q(c) = -85*c**3 - 25*c**2 - 25. Suppose 6*i - 151 + 127 = 0. Let r(j) = -14*j**3 - 4*j**2 - 4. What is i*q(a) - 25*r(a)? 10*a**3 Let o(l) = 20*l. Let w = 3070 + -3084. Let r(q) be the second derivative of 3*q + 7/6*q**3 + 0 + 0*q**2. Determine w*r(p) + 5*o(p). 2*p Let n be (7 - 7) + 4 - (-41 + 50). Let v(a) be the third derivative of a**5/20 - 7*a**3/3 - 2*a**2. Let u(t) = -2*t**2 + 7. Determine n*u(m) - 3*v(m). m**2 + 7 Let a(u) = -334384 - u**2 + 334381 - 7*u + 4*u - 2*u**3. Let c(y) = -4*y**3 - y**2 - 6*y - 5. Suppose 2*m = 4*m + 2*d, -d = 3*m + 10. Determine m*a(f) + 3*c(f). -2*f**3 + 2*f**2 - 3*f Let g be (6*1)/(43 + 924/(-22)). Let a(x) = 13*x**2 + 13*x + 15. Let t(d) = -7*d**2 - 7*d - 8. Let p be 75/7 + (-4)/(-14). Calculate g*a(s) + p*t(s). s**2 + s + 2 Let h = 3845 + -3847. Let j(a) = -3*a**3 - 3*a**2 + 5*a. Let n(o) = -3*o**3 - 4*o**2 + 6*o. Calculate h*n(z) + 3*j(z). -3*z**3 - z**2 + 3*z Suppose 98 + 27 = 56*l - 43. Let b(t) = -11*t - 51. Let h(w) = 4*w + 17. Determine l*b(c) + 8*h(c). -c - 17 Let y(b) = -46*b**3 + 2*b**2 - 5*b - 2751. Let l(h) = -26*h**3 + h**2 - 3*h - 1375. Give -7*l(s) + 4*y(s). -2*s**3 + s**2 + s - 1379 Let h(p) = 71440872*p**2 - 31619*p - 31619. Let k(m) = -4519*m**2 + 2*m + 2. Give 2*h(u) + 31619*k(u). -4517*u**2 Let k(g) = 3*g - 2. Let i(y) = 15*y - 110. Determine -i(l) + 4*k(l). -3*l + 102 Let q(m) = 5*m - 4*m**2 - 3 - m**2 + 2*m**3 + 0*m**2. Suppose 57*o = 61*o + 39 - 11. Let i(d) = -4*d**3 + 11*d**2 - 11*d + 7. Calculate o*q(j) - 3*i(j). -2*j**3 + 2*j**2 - 2*j Let c = -9202 - -9203. Let s(n) = -n**2. Let q be -1*1 - 0/(-2). Let h(x) = 2*x**3 - x**2 - 1. Calculate c*s(g) + q*h(g). -2*g**3 + 1 Let q(s) = 26*s**2 - 22*s + 172. Let k(j) = -6*j**2 + 6*j - 43. Calculate -11*k(p) - 3*q(p). -12*p**2 - 43 Let a(t) = 27896*t**3 + 5706*t**2 - 11412*t. Let m(p) = 5*p**3 + p**2 - 2*p. Give -2*a(u) + 11412*m(u). 1268*u**3 Let l(p) = -2*p. Let a(y) be the second derivative of -5*y**3 + 76*y. Suppose -18 = -5*j - 8. Give j*a(m) - 28*l(m). -4*m Let k(t) = 1. Suppose h = 5*h - 4*o - 644, 3*h = 5*o + 491. Suppose h = 10*c + 97. Let f(x) = 7*x - 5. What is c*k(s) + f(s)? 7*s + 1 Let y(v) = 20*v**3 + 2*v + 3. Let m(l) = 20*l**3 + 3*l + 4. Let w = 3783 - 3785. Give w*m(i) + 3*y(i). 20*i**3 + 1 Let w(d) be the third derivative of -11*d**6/120 + d**5/60 - d**4/6 - 2*d**3/3 - 3*d**2 + d - 63. Let m(u) = -11*u**3 + u**2 - 5*u - 5. Give -4*m(r) + 5*w(r). -11*r**3 + r**2 Let i(x) = -17*x**2 + 17*x + 68. Let w(l) = -8 + 91 - 46 - 20 - 4*l**2 + 4*l. Calculate 2*i(s) - 9*w(s). 2*s**2 - 2*s - 17 Let d(f) = -2. Let b(t) = 4*t + 19. Let j(h) = -b(h) - 4*d(h). Let a(y) = 7*y + 21. Give 6*a(k) + 11*j(k). -2*k + 5 Let t(d) = -13*d - 29. Let x(y) = 22*y + 32. Let j(n) = 3*t(n) + 2*x(n). Let m(f) = -3*f + 12. Determine 4*j(o) + 7*m(o). -o - 8 Let a(f) = 193*f + 28. Let v(j) = 5. Determine -a(k) + 6*v(k). -193*k + 2 Let r(v) = -7*v + 9. Let q(n) be the third derivative of 7*n**4/24 - 4*n**3/3 - 5335*n**2. What is -7*q(p) - 6*r(p)? -7*p + 2 Let j(v) = 4*v + 1. Let n(t) = t**2 - 21*t - 5. Let y(u) = -u + 3. Let c be y(1). Let h = 10 + 18. Suppose 4*r - h - 16 = 0. Determine c*n(i) + r*j(i). 2*i**2 + 2*i + 1 Let k(v) = 11*v**3 + v - 13. Suppose 123 = n - 3*z + 111, -2*z - 23 = n. Let a(q) = 5*q**3 - 6. Calculate n*a(x) + 4*k(x). -x**3 + 4*x + 2 Let u(o) = 3*o**2 + 7*o - 17. Let t(a) be the second derivative of -a**4/12 - a**3/2 + 4*a**2 + 2*a - 609. Determine 9*t(f) + 4*u(f). 3*f**2 + f + 4 Let d = -280 + 285. Let l be ((-4)/5)/(462/90 - d). Let w(p) = -p - 5. Let k(c) = -c - 4. Determine l*w(m) + 7*k(m). -m + 2 Let u(k) be the second derivative of 23*k**4/12 - 5*k**2/2 + 2*k - 434. Let p(i) = -24*i**2 + 4. Give -5*p(q) - 4*u(q). 28*q**2 Let i be 1*6/9*3. Let z(r) = -i*r + 4 - r**2 - 3*r**2 - 2 + r**2. Let f(w) = 4*w**2 + 3*w - 3. Suppose 46*o + 12 = 42*o. Give o*z(m) - 2*f(m). m**2 Let q(k) = 30*k - 2. Let o(w) = -61*w + 3. Let i = -5559 + 5564. What is i*q(v) + 3*o(v)? -33*v - 1 Let m = -9 + 6. Let c(i) = -17*i. Let h = 12465 - 12458. Let d(f) = -8*f. Determine h*d(b) + m*c(b). -5*b Let b(l) = 3*l - 139. Let n(s) = -15*s + 840. Give -19*b(c) - 3*n(c). -12*c + 121 Let g(a) = a**2 + a - 1. Let n = 20 - 19. Let h(v) be the third derivative of -v**5/20 - v**4/6 + v**3/6 - 98*v**2 + 2. Determine n*h(m) + 4*g(m). m**2 - 3 Let a(t) = 6*t**3 + 3*t**2 + 13*t + 9. Let q(f) = 7*f**3 + 3*f**2 + 4*f + 11. Calculate 5*a(b) - 4*q(b). 2*b**3 + 3*b**2 + 49*b + 1 Let c(l) = -3*l**2 + 3*l + 1. Let v(u) = -13*u**2 + 9*u + 180. Give 3*c(d) - v(d). 4*d**2 - 177 Let n(a) = 3*a - 6. Let q(h) = 19*h - 12. Let c(b) = 9*b - 7. Let f(d) = -5*c(d) + 2*q(d). Determine 4*f(k) + 9*n(k). -k - 10 Let h(d) be the second derivative of 0 - 41*d + 1/6*d**3 + 0*d**2. Let o(n) = 0 - n + 0. Give 4*h(k) + o(k). 3*k Let r(u) = 3*u**2 - 3*u. Let m(v) = 26*v**2 - 2213*v. What is -2*m(z) + 18*r(z)? 2*z**2 + 4372*z Let h(r) = r**3 - r**2 - r - 4. Let i(w) = 1. Suppose -253 + 253 = 9*u. Suppose 12*j - 3 + 15 = u. What is j*h(s) - 4*i(s)? -s**3 + s**2 + s Let o(r) = 2*r**2 - r - 1. Let y(d) = 7*d**2 - 3*d + 605. Determine 3*o(k) -
{ "pile_set_name": "DM Mathematics" }
onths in millennia? 0.010580125 Convert 0.8933579mg to kilograms. 0.0000008933579 What is 513317.2ml in litres? 513.3172 How many grams are there in 1/16 of a tonne? 62500 What is 36.6861 weeks in microseconds? 22187753280000 What is 1/10 of a second in milliseconds? 100 How many centimeters are there in three fifths of a kilometer? 60000 How many microseconds are there in 6/25 of a millisecond? 240 What is 13/8 of a gram in milligrams? 1625 How many months are there in 5/4 of a millennium? 15000 Convert 568845.7 litres to millilitres. 568845700 What is 1/36 of a week in seconds? 16800 Convert 21826.82l to millilitres. 21826820 How many millimeters are there in 32/5 of a centimeter? 64 What is 1/4 of a microgram in nanograms? 250 What is 427.3024ml in litres? 0.4273024 What is three fifths of a litre in millilitres? 600 What is 37/2 of a decade in months? 2220 What is 3569163.57 minutes in weeks? 354.0836875 Convert 411323.8 centuries to years. 41132380 What is 3/5 of a minute in seconds? 36 How many milligrams are there in 530.4825 tonnes? 530482500000 How many meters are there in 583524.3 micrometers? 0.5835243 What is thirty-one halves of a meter in centimeters? 1550 How many millimeters are there in fourty-three halves of a centimeter? 215 What is fourty-six fifths of a centimeter in micrometers? 92000 How many millilitres are there in 2607.18l? 2607180 What is 5090.754 millennia in months? 61089048 What is thirteen fifths of a kilometer in meters? 2600 How many litres are there in 60969.66ml? 60.96966 How many centimeters are there in fifty-five halves of a meter? 2750 How many years are there in 19/4 of a millennium? 4750 How many grams are there in 11/10 of a kilogram? 1100 What is 11/4 of a millimeter in micrometers? 2750 Convert 406.0135um to meters. 0.0004060135 What is 684.552 litres in millilitres? 684552 Convert 4906.38um to meters. 0.00490638 How many millilitres are there in 8/25 of a litre? 320 Convert 5.96569 centuries to millennia. 0.596569 What is 2.615373 micrograms in kilograms? 0.000000002615373 Convert 12.26441ng to kilograms. 0.00000000001226441 What is three fifths of a kilogram in grams? 600 What is 1/10 of a centimeter in micrometers? 1000 What is 11/8 of a century in months? 1650 How many minutes are there in 1907956.8ns? 0.00003179928 What is 24.6055 litres in millilitres? 24605.5 How many microseconds are there in 1/16 of a second? 62500 What is 1/10 of a millennium in decades? 10 How many seconds are there in four fifteenths of a minute? 16 What is five quarters of a litre in millilitres? 1250 What is 45/2 of a millennium in decades? 2250 How many litres are there in 69.55894 millilitres? 0.06955894 How many decades are there in one fifth of a millennium? 20 How many micrometers are there in 5/8 of a centimeter? 6250 What is six fifths of a litre in millilitres? 1200 What is 6.155323l in millilitres? 6155.323 How many micrometers are there in three tenths of a centimeter? 3000 Convert 6.910308ns to hours. 0.00000000000191953 How many milliseconds are there in 3/5 of a second? 600 How many millilitres are there in three eighths of a litre? 375 Convert 140.9443 minutes to seconds. 8456.658 How many tonnes are there in 58.88615ng? 0.00000000000005888615 What is two ninths of a hour in seconds? 800 How many millimeters are there in 0.2859036 centimeters? 2.859036 What is 1/6 of a millennium in months? 2000 How many millennia are there in 36287.4 decades? 362.874 Convert 3.795192 litres to millilitres. 3795.192 What is one quarter of a kilometer in centimeters? 25000 What is 4/3 of a decade in months? 160 How many milliseconds are there in 1/4 of a minute? 15000 What is 3/10 of a meter in centimeters? 30 What is eighteen fifths of a kilogram in grams? 3600 Convert 683581.1 decades to months. 82029732 How many micrometers are there in seven halves of a centimeter? 35000 What is twenty-two ninths of a week in minutes? 24640 What is 0.0719236 micrograms in kilograms? 0.0000000000719236 Convert 4.910307 days to nanoseconds. 424250524800000 What is three fifths of a meter in millimeters? 600 Convert 896489.4 decades to centuries. 89648.94 How many micrograms are there in one tenth of a milligram? 100 How many millilitres are there in 672025.5 litres? 672025500 How many seconds are there in 1/4 of a minute? 15 Convert 412.6639ml to litres. 0.4126639 How many micrometers are there in 519092.5nm? 519.0925 What is 1/5 of a millennium in years? 200 What is 0.5254628us in nanoseconds? 525.4628 How many millimeters are there in 21/2 of a centimeter? 105 How many years are there in 11/2 of a millennium? 5500 How many microseconds are there in 3/5 of a millisecond? 600 How many milligrams are there in twenty-one quarters of a gram? 5250 What is 122019.5 weeks in seconds? 73797393600 What is 3/8 of a day in seconds? 32400 What is 13/4 of a hour in seconds? 11700 What is 393.9759 tonnes in kilograms? 393975.9 What is 0.6040179km in micrometers? 604017900 What is 29/2 of a meter in millimeters? 14500 How many micrograms are there in seventeen quarters of a milligram? 4250 How many years are there in seventy-nine halves of a millennium? 39500 How many litres are there in 2183.474 millilitres? 2.183474 Convert 16942.1 millennia to months. 203305200 How many millilitres are there in 6/25 of a litre? 240 How many tonnes are there in 76.83797mg? 0.00000007683797 What is 736.1417 years in months? 8833.7004 How many milligrams are there in 4.11611ug? 0.00411611 How many milligrams are there in 633876.9t? 633876900000000 How many seconds are there in two ninths of a day? 19200 What is 47648.69 millilitres in litres? 47.64869 What is five quarters of a decade in months? 150 How many centimeters are there in 3/10 of a meter? 30 How many months are there in 6/5 of a millennium? 14400 What is fifty-one fifths of a meter in centimeters? 1020 What is 5/8 of a litre in millilitres? 625 Convert 4.493321mg to micrograms. 4493.321 Convert 933.939 grams to kilograms. 0.933939 Convert 781808.8 millennia to decades. 78180880 How many centuries are there in 8.85225 millennia? 88.5225 How many minutes are there in 7/6 of a hour? 70 How many meters are there in 359.988 millimeters? 0.359988 Convert 3.592596 decades to months. 431.11152 What is 81/4 of a litre in millilitres? 20250 How many years are there in 3/8 of a millennium? 375 What is 3/25 of a millennium in years? 120 How many millilitres are there in sixty-four fifths of a litre? 12800 What is 29/2 of a micrometer in nanometers? 14500 How many millilitres are there in 5/4 of a litre? 1250 What is 3.784331ms in seconds? 0.003784331 How many nanograms are there in 959.0201 milligrams? 959020100 What is 8.540224 milligrams in grams? 0.008540224 What is 5/4 of a kilometer in meters? 1250 How many tonnes are there in 94158.83mg? 0.00009415883 How many litres are there in 16.52915 millilitres? 0.01652915 Convert 0.6344249 weeks to milliseconds. 383700179.52 What is 104.1616ng in micrograms? 0.1041616 Convert 181725.8 millilitres to litres. 181.7258 How many millilitres are there in 3/5 of a litre? 600 How many centimeters are there in one fifth of a meter? 20 How many nanoseconds are there in 699.6865 days? 60452913600000000 How many months are there in 3/25 of a millennium? 1440 Convert 8758.966ml to litres. 8.758966 What is 3/25 of a meter in millimeters? 120 How many kilograms are there in twenty-five halves of a tonne? 12500 How many hours are there in twenty-seven quarters of a week? 1134 How many months are there in 17/4 of a year? 51 What is thirty-seven halves of a litre in millilitres? 18500 What is 307509.3 litres in millilitres? 307509300 What is 5/8 of a second in milliseconds? 625 How many millilitres are there in 7/8 of a litre? 875 How many years are there in 43/2 of a millennium? 21500 How many decades are there in 15/4 of a millennium? 375 Convert 36.5504 millilitres to litres. 0.0365504 How many nanoseconds are there in 445.7059 minutes? 26742354000000 What is 0.529969 kilograms in milligrams? 529969 How many micrometers are there in 3/5 of a centimeter? 6000 How many days are there in 298802.43 hours? 12450.10125 What is 3/25 of a millennium in months? 1440 How many minutes are ther
{ "pile_set_name": "DM Mathematics" }
) be the second derivative of -v**5/20 - 3*v**4/4 + 13*v**2/2 - 3*v. Suppose -5*q - 15 = 30. List the prime factors of z(q). 13 Suppose 7 = -5*q + 67. Let o(u) = u**2 - 3*u - 1. Let l be o(4). Suppose q = l*f + f. What are the prime factors of f? 3 Let i(g) = g**2 + 5*g - 36. List the prime factors of i(8). 2, 17 Let i be 6/(-3)*1*-4. Let q = -5 + i. What are the prime factors of q? 3 Let m be (-6)/(-21) + (-6)/21. Suppose -t - t + 72 = m. What are the prime factors of t? 2, 3 Let g(u) = -u**3 - 4*u**2 + 4*u - 5. Let d be g(-5). Suppose 4*k = -d*k. Suppose k = 5*p - 19 - 11. List the prime factors of p. 2, 3 Suppose 4*p + 63 + 17 = 0. List the prime factors of p/50 - (-132)/5. 2, 13 Let q(i) = -16*i - 8. List the prime factors of q(-9). 2, 17 Let a(q) = q**2 - q - 4. Let h be a(3). Let v(t) = 4*t**2 + t - 2. Let c be v(h). Suppose -c = -6*j + 4*j. List the prime factors of j. 2 List the prime factors of ((-76)/10)/(6/(-30)). 2, 19 Let y be (1/(-2))/((-6)/12). Let h(x) = 2*x**3 + 2*x**2 - 2*x + 1. List the prime factors of h(y). 3 Let o(c) = -3*c + 16. What are the prime factors of o(-8)? 2, 5 Let d be (-4)/(-6) + 300/(-18). Let m = 32 + d. List the prime factors of m. 2 List the prime factors of (133 - 1)*(-26)/(-39). 2, 11 Let p = -22 + 84. What are the prime factors of p? 2, 31 Let z(t) = -t**3 + 13*t**2 + 6*t - 5. List the prime factors of z(13). 73 Let v = 912 + -525. What are the prime factors of v? 3, 43 Let x = -23 - -11. Let k = -8 - x. Suppose 0 = -2*m - 5*y - 11, k*y + 28 - 6 = 5*m. List the prime factors of m. 2 List the prime factors of 36/3 + (-2)/1. 2, 5 Let b = 26 - 14. Let t(x) = x**2 - 8*x. List the prime factors of t(b). 2, 3 Let k(b) = -2*b - 1. Let i(z) = -1. Let h(f) = 4*i(f) + k(f). List the prime factors of h(-6). 7 Let t(i) = i**3 - i**2 - 5*i + 24. What are the prime factors of t(0)? 2, 3 Let b = -4 - -38. What are the prime factors of b? 2, 17 Suppose 4*d - 2*h - 42 = 3*d, 0 = -4*h. Let t = 14 + -10. Suppose -5*y = z - d - 15, -y + t*z = -24. What are the prime factors of y? 2, 3 Let d = -6 - -6. Suppose m + d = 22. What are the prime factors of m? 2, 11 Let w = 3 - 0. Suppose 2*g - c - 97 = -3*g, 3*c = w*g - 51. What are the prime factors of g? 2, 5 Suppose 0 = -5*k + 5*s + 115, -69 = -5*k - 2*s + 74. List the prime factors of k. 3 Suppose -2*k = -3*x + 401, -2*x + 6*x + k - 531 = 0. Let h = x - 90. Let i = -31 + h. List the prime factors of i. 2, 3 Let i = 13 - -7. Let r = i - 10. List the prime factors of r. 2, 5 Let u(l) = 35*l**2 - 2*l - 1. List the prime factors of u(-1). 2, 3 Let n = 36 + -5. What are the prime factors of n? 31 Suppose 2*h - 39 = -p, -h = -3*p + 3*h + 107. Suppose y = 4*t - p, 5*t + 0*t - 48 = 3*y. List the prime factors of t. 3 Let k(r) = r**2 - 9*r - 14. Let j(z) = 2*z**2 - 3*z - 2 + 4 + 0*z. Let p be j(3). List the prime factors of k(p). 2 Let g be -2 - -3 - 1*-3. Suppose g*d - 7 = 1. Suppose -d*x + 4 = -4. What are the prime factors of x? 2 Suppose 0 = 3*o - 4*r + 1, 0 = -2*o + 5*r - 3. List the prime factors of 6/(-2) + (15 - o). 11 Let r be 2/(-8)*(0 + -4). Suppose q = -2*k - r + 2, 3*q + 27 = 4*k. List the prime factors of k. 3 Let z = 50 - 22. What are the prime factors of z? 2, 7 Let u(a) = a**3 + 9*a**2 - 12*a - 11. Let k be u(-10). What are the prime factors of (-1)/(-3) - (-114)/k? 13 Let v = -9 - -9. Suppose 4*h - 107 + 35 = v. What are the prime factors of h? 2, 3 What are the prime factors of (1/2)/(6/564)? 47 Let r = 40 - 11. Suppose -44 = -f - 2*l, 4*f + 3*l + 58 = 219. Suppose -4*n + f = -u - 0*u, -3*n + u = -r. What are the prime factors of n? 3 Let r(g) = 3*g**2 + 4. List the prime factors of r(3). 31 Let g = -1 + 24. Let i = -35 + g. What are the prime factors of (-2 - 1)/(9/i)? 2 Let i(x) = -17*x**3 + 2*x**2 - 2*x + 1. Let k(g) = 17*g**3 - 2*g**2 + 3*g - 2. Let f(w) = 3*i(w) + 2*k(w). What are the prime factors of f(-1)? 2, 3 Suppose 0 = 2*m + 2*c + 2*c - 18, -c - 6 = -3*m. Suppose m*p - 14 = 13. What are the prime factors of p? 3 Let t(o) = -o**3 + 4*o. Suppose 5 = 4*q + 17. List the prime factors of t(q). 3, 5 Suppose 5*t + 5*l = -25 + 120, 97 = 5*t + 4*l. Let m = t + -14. List the prime factors of m. 7 Let p(z) = -z**3 + 1 + 0 + 2*z**2 - 2*z + 5*z. What are the prime factors of p(-2)? 11 Let v be (-172)/16 - (-1)/(-4). Let q(u) = -2*u. What are the prime factors of q(v)? 2, 11 Let q be 3/(2 - (-3 - -6)). List the prime factors of 0 - (-17 - q) - 3. 11 Suppose -2*f + f + 2 = 0. Suppose 0*t + 2 = -t - f*w, -w = -5*t + 34. List the prime factors of t. 2, 3 Let v(l) = -l**2 + 6*l - 1. Let y be v(5). Suppose y*f = -4*r, f - 2*r - 2 = 2*f. List the prime factors of (-28)/(-35)*5/f. 2 List the prime factors of 15/(-9)*-2*(-1992)/(-20). 2, 83 Let p(c) = c**3 + 5*c**2 - 4*c - 5. List the prime factors of p(-3). 5 Let f be (-80)/(-36) - (-4)/(-18). Let x = 10 - f. List the prime factors of x. 2 What are the prime factors of (4 + 280/3)*(-3)/(-2)? 2, 73 Let u = -3 + 5. Let x be u*(-1)/(-2)*2. Suppose -b = 5*k - 11, x*b = -6 - 2. What are the prime factors of k? 3 List the prime factors of 34/9 + (-2)/(-9) + 2. 2, 3 Let h(i) = -i**3 - 11*i**2 - 10*i + 6. List the prime factors of h(-10). 2, 3 Let f(j) = j - 7. Let m = -1 + 7. Let g be f(m). Let c = 7 - g. List the prime factors of c. 2 What are the prime factors of 41 - 4*(-1)/(-4)? 2, 5 Let g = -17 - -29. List the prime factors of g. 2, 3 Let a = -8 + 9. Let u be (-2)/6*(4 - a). What are the prime factors of (-2 + u - -23)/1? 2, 5 Let y(c) = 2*c**2. Let p be y(1). Let h = p - -2. What are the prime factors of h? 2 Suppose 5*k - 18 = 3*k. Suppose -4*p - k - 27 = -2*l, p = 5. What are the prime factors of l? 2, 7 Suppose 11 - 26 = -3*s. Suppose -2*d - 5*k + 27 = 0, -2*d - s*k + 37 = -10*k. What are the prime factors of d? 2 Suppose 18 = -3*y + 36. List the prime factors of y. 2, 3 Let v = -6 - -7. Suppose -4*k = -m - 16, -3*m = 5*k - 19 - v. Suppose m*c - c = -12. List the prime factors of c. 2, 3 Let z = 1 + 2. Suppose x + 2*w = -0 - 8, 3*x - 12 = 3*w. Suppose -a + z + 5 = x. List the prime factors of a. 2 Let k = 37 - -2. What are the prime factors of k? 3, 13 Suppose j - 4*j + 5*o = -21, -4*j = 4*o + 4. List the prime factors of -2 - (-2 + j/(-1)). 2 Suppose -10 = -2*r + 70. What are the prime factors of r? 2, 5 Suppose -r - w + 93 = 0, 2*r + 5*w = 7*r - 415. List the prime factors of r. 2, 11 Let m(t) = -54*t**3 + t**2 + 2*t + 1. List the prime factors of m(-1). 2, 3 Let h(m) be the third derivative of -m**6/120 + m**5/10 + m**4/6 - 3*m**3/2 + 8*m**2. List the prime factors of h(5). 2, 3 Let v = 10 - 5. Suppose -q = -1 - v. List the prime factors of q. 2, 3 Let g(q) = q**2 - q + 1. Let h(k) = 5*k**2 - 17*k + 17. Suppose 0 = -3*l + l + 8. Let p(x) = l*g(x) - h(x). What are the prime factors of p(11)? 3 Let p be 1*(1 - 2 - 2). Let c be -2*1 + (-3)/p. Let y(h) = 7*h**2 + h + 1. What are the prime factors of y(c)? 7 Suppose 0 = 4*c - 3*s - 131, 0*c = -c + 2*s + 34. What are the prime factors of c? 2 Let o be 5/2*(5 + -3). Suppose -5*g = -g - d - 33, -o*g - 3*d = -37. What are the prime factors of g? 2 Let b = 219 + 73. What are the prime factors of b? 2, 73 Let b be (-1)/2*(-3 + 3). Suppose b = -3*f - 2*s - 2*s + 126, s = f - 35. What are the prime factors of f? 2, 19 Suppose g + 4 - 18 = 0. Suppose 4*b - g = -r, -2*r = r - b + 23. List the prime factors of 3/(1/(-8)*r). 2 Suppose 25*d = 23*d + 524. What are the prime factors of d? 2, 131 Let g(i) = -i. Let m(u) = -2*u. Let b(w) = -7*g(w) + 4*m(w). What are the prime factors of b(-4)? 2 Suppose -4*c - 50 = -k, k + 5*c = -k + 35. List the prime factors of k. 2, 3, 5 Suppose d + 2 = 6. Suppose -d*o + o + 3*y + 123 = 0, 94 = 2*o + 2*y. List the prime factors of o. 2, 11 Let x = 22 - -2. Let q = 57 - x. What are the prime factors of q? 3, 11 Let w be (1/(-2))/(4/(-40)). Let n be ((-66)/8)/(2/(-8)). Suppose -4*m = 20, -n = -w*i + i + 5*m. What are the prime factors of i? 2 Suppose -48 = -0*j - 3*j. Let q = 37 - j. Suppose 3*s + q + 34 = 4*v, 4*v - 47 = -5*s. What are the prime factors of v? 13 Let s(p) = -9*p - 97*p**2 + 0 + 0 + 96*p**2 + 3. What are the prime factors of s(-8)? 11 Let b(y) = 27*y**3 + y**2 - y + 1. Let j be b(1). Suppose -5*u - j = -u. Let p = u + 14. What are the p
{ "pile_set_name": "DM Mathematics" }
- 0) - (65 - (118 + -27)) 24 What is the value of (-11 - (0 - 6)) + (-8 + 6 + 8 - -32)? 33 Calculate (0 - 1) + -2 + (1082 - 1076) - (87 - 10). -74 What is the value of (-11 - 34) + -24 - (5 + (9 - 0))? -83 13 - (1 - 2) - (-45 + 45 + -2) 16 Evaluate -257 + 63 - -82 - -48. -64 Calculate -149 + 48 + (9 - -1) + (4 - 4). -91 -45 + (1 + (2 - 2) - -10 - (-8015 - -8015)) -34 Evaluate -19 + -4 + 6 + -17 + (94 - 58). 2 Calculate (-6 - (7 - 2)) + 12 + (-5 - 10). -14 What is the value of -75 - (43 + -122) - (0 + 5) - 6? -7 What is the value of (-4 - 0) + (4 + -5 + -3 - -6) - -29? 27 Evaluate 41 + -70 + 0 + 36. 7 (-9 + -6 + 8 + 8 - 3) + 3 1 What is the value of -1 + -3 - (-1 + 9) - (-5 + 30 + -32)? -5 Evaluate (42 - 34) + (-8 - (10 - -14)). -24 What is the value of (0 - -7 - -7) + (-24 - (41 + -44))? -7 Evaluate 17 - (-44 + 34 - -36). -9 Calculate 38 + 1 + -29 + 24 + -15 + 21. 40 What is (-7 - (-13 + 16)) + 22 + 1 + (-81 - -79)? 11 What is the value of -6 + (-11 + 25 - 6 - 42) + -2? -42 (54 + -24 - 47 - ((-5 - -3) + -7)) + 9 1 Evaluate -2 + (-6 - (2 - 16) - 86 - -11). -69 Evaluate 0 + -3 + -58 - (28 + -52 - -8). -45 Evaluate -36 + 2 + 48 - 18 - -17. 13 Evaluate (328 + -308 - (-2 - 2)) + 34. 58 What is 33 - 26 - -37 - -17? 61 What is (9 - 4) + (-17 - -74) + (-4 - -3) + -5? 56 What is the value of 66 + 96 - 203 - (-154 - -1)? 112 (-23 - -1) + 111 + -103 + 0 + 39 25 Calculate -1 + (1 - -11) + (19 - (-64 - (-59 - -30))). 65 Evaluate -30 + (24 - 7) + (-76 - -45). -44 -138 + 172 + (-10 - 33) -9 1 + 4 + -7 + 9 + -13 -6 Calculate -7 - (37 - (6 - (-36 + 20))). -22 What is (10 + -9 - -11 - 13) + (-1 - (9 - -101))? -112 What is the value of 18 + (0 + 9 - (70 + (23 - 83)))? 17 8 + (-3 - (-96 + 29 + -14)) 86 -107 - (22 + -15 - 14) - (-16 - -7) -91 What is -6 - (7 - 6) - (-21 + -14)? 28 Calculate -13 + (-7 - -84) + -1 + (-4 - -2) + -8. 53 Calculate -49 - 10 - (-14 - 16) - -61. 32 Evaluate -16 + 9 + -10 - -51. 34 -7 + (19 + -4 - 23) + -21 -36 Evaluate -163 - (67 + -124 + -61). -45 Evaluate 6 - 1 - (-11 - 4 - (8 - 33)). -5 Evaluate 1 + 5 - (39 - -15) - (-19 - -33). -62 What is the value of (2 - 0 - -7) + 152 + 136 + -283? 14 Evaluate (-4 + 1 - ((-6 - -3) + -2)) + (179 - 209). -28 Calculate 26 + -81 + (237 - 144). 38 15 - (-19 - -17) - (6 - (1 + -7 - 0)) 5 What is 5 + -1 + 0 + 37 + -40 + 11 + 27? 39 Calculate (136 + 1 - (-25 + 2 + (9 - -27))) + -14. 110 Calculate 12 + (4 - 11) + 13 + -4 + 32 - -9. 55 Evaluate 105 - 96 - 50 - (1 + 14). -56 (-74 - -106 - (1 - 21)) + (-2 - -7) 57 (-2 - -1) + (4 - -7 - (21 + -13 + -53)) 55 -77 + 63 + -42 + 122 66 Evaluate 61 + (-10 - (-39 + 14 + 4)) + (1 - 18). 55 What is the value of 224 + -238 - (3 - (2 + 22))? 7 (7 + 31 - 29) + 6 15 Calculate -5 - 0 - -71 - (-3 - 0). 69 Calculate 99 + 52 + -99 + -36. 16 What is -2 + 22 + -28 + -16 + 2 + -2 - 1? -25 Calculate -45 + (39 - -1 - (-1991 - -2036)). -50 -1 + (-21 - (25 - 22 - 22)) -3 (3 - -24) + 31 + -51 + 7 14 Evaluate 2 + 9 + -1 - (-224 + 246). -12 9 + (-143 - (-35 + -10)) -89 Evaluate -9 + (0 - -6 - (51 + -26)). -28 What is the value of (54 - (1 - -5) - -5) + (-20 - -26 - -4)? 63 Calculate (-70 + 50 - -26) + -35. -29 Calculate -481 + 495 - ((59 - 6) + (3 - (10 + -2))). -34 What is 3 + 2 + -1 + -59 + 47 - -16? 8 Calculate (0 + -11 + 7 - (-103 + 56)) + -13 - 7. 23 6 + 2 + (53 + -21 - 35 - 132) -127 6 - ((25 - 7 - 11) + -11) 10 -8 + 7 + -14 + -15 + 11 + 5 -14 What is the value of 38 + -68 + -40 - -21? -49 -13 + ((9 - -14) + -4 - -58) 64 114 - (-87 + 253) - -62 10 Calculate 644 + -738 + (7 - (-8 + (2 + 6 - 6))). -81 Calculate (1 + (-2 - 53) - (-61 + 70)) + (3 - -1). -59 What is 0 - -17 - (7 + 6 + 10 - 32)? 26 What is -245 + 273 + (-3 - ((5 - 23) + 2))? 41 What is the value of 10 - (9 - 0) - (-1 - 5 - (-120 - -131))? 18 What is -13 - 0 - (-63 - (18 - 3)) - 0? 65 What is 0 - 69 - (14 + -49 + 33)? -67 Evaluate (-7 - (-33 + 47)) + 10. -11 What is the value of 12 + -10 + (-28 - -24) + (-3 - 41)? -46 Calculate 169 + -167 + (8 - 0) + (28 - -6). 44 What is the value of (-36 + 1 - (-64 + -24 + 70)) + -13? -30 Evaluate (43 - (28 + -64)) + -109. -30 -29 - (1 - (-10 + 8 + -8 + 1)) -39 Evaluate (-10 - -30 - 156) + (5 + -9 + -1 - -7). -134 15 + -3 + 0 + 2 + 2725 + -2764 -25 What is 1 - ((-14 - (4 - 5)) + 100) - (-4 - -7)? -89 What is the value of 7 + -12 + 13 - ((7 - 2) + (15 - -12))? -24 Calculate (21 + 23 - 99) + 49. -6 -81 + 162 + -93 + 3 + (15 - 2) 4 What is the value of -27 + 6 + 64 + -75 + (14 - 1)? -19 25 + -22 + (-5 - (-62 - (-9 + -9 + 18))) 60 What is the value of -21 + 38 + (-5 + 0 - (20 + (-6 - 11)))? 9 (75 - 75) + -53 - -128 75 Evaluate 5 - (-12 + 14 + 0 - 14 - -3). 14 Calculate -18 - (58 + 99 + -173 - (1 - 2 - 1)). -4 Calculate 50 - 1 - (370 + -230 - 147). 56 What is the value of -3 - 65 - (15 + (30 - 26))? -87 (-36 - -16) + (-24 - -8) + 19 -17 Evaluate 8 + -1 - (33 + -5 + -15 + 10). -16 What is (-12 - (19 + 5 + -24)) + 17? 5 Calculate -171 - (-55 - 25 - 12). -79 Calculate (-642 - -659) + (-4 + 26 - -7). 46 Evaluate -75 - (1 + -2 - (3 + -5)) - (-11 + 5). -70 Calculate 22 + 5 + -10 + (3 - 5) + (-3 - 27). -15 What is the value of -16 - -1 - -6 - (16 + 6 + -61 + 7)? 23 Evaluate -83 + (82 - (-15 - -103)). -89 What is (-2 - 0) + (-18 - -4) - 44 - -6? -54 What is the value of -7 + -2 + (13 - (34 + -10 + -8) - 40)? -52 Evaluate (-43 - 5) + 7 - (13 + (15 - 13)). -56 What is the value of 140 + -183 + (46 - 3)? 0 Evaluate 84 + -15 + 0 + (5 - (6 + 5)). 63 What is the value of (18 - 37) + 21 + 9 + -5 + 2 + -8? 0 Evaluate (-77 - -105) + (13 - 3). 38 What is 27 + -73 - -77 - 26? 5 (30 + -30 + 24 - 155) + 8 -123 0 + -59 + (19 + (45 - 14) - 35) -44 What is 5 + (-63 - -65) + (0 - (5 + -3))? 5 What is the value of (125 - (-5 - 5)) + 20 + -6 + 0 + -3? 146 (10 - -27) + 48 + -51 34 What is the value of -145 + (158 - 16) + (2 - -36)? 35 Calculate 83 - 2 - (1836 - 1662). -93 What is 19 + 3 + 3 - (3 + 4 - -3) - 8? 7 What is (8 - -1 - -8 - 25) + -52 - 7? -67 Calculate 0 + -24 - (1 + -13 - (-38 + 47 - 11)). -14 Calculate 4 - (185 - 40 - 114). -27 What is the value of (48 - 0) + -25 + -13 + 54 + -11? 53 What is the value of 20 + (2 - (3 + -1)) + (-494 - -485) + -13? -2 What is the value of (-48 - -55) + 37 + -31 + (-2 + 54 - -2)? 67 Evaluate 9 + 5 + -1 + 67 + -78 + 39. 41 -12 + 0 + 7 - (-1 + 9 + 10) -23 1 - 14 - ((146 - 57) + -35) -67 What is the value of 5 - 5 - -11 - (-33 - -95)? -51 What is (18 - (-8 - -17)) + -3 - (4 - -32)? -30 99 - (-65 - -64) - 38 62 What is the value of 27 + -1 + 37 + -51 + (-3 - 2)? 7 What is the value of 8594 - 8542 - (2 + 127)? -77 -11 + 37 + -63 + 33 + -30 -34 -25 + -42 - (-8 - ((2 - (16 - 5)) + -2)) -70 What is the value of (-3 - -127) + (-26 - (-1 - -1)) + -1054 + 1070? 114 -1 - -45 - ((96 - 82) + -5 + 0 + -3) 38 Evaluate -10 + (-14 - (-45 - 52)). 73 Calculate 9 + 13 + (-72 - -37). -13 What is the value of (-2 - -3 - 0) + -9 + (-28 - -114) + -10? 68 Evaluate -12 + 72 + -31 - 27. 2 Evaluate 35 - -1 - (12 - (-32 + 20)). 12 Evaluate -312 + 391 + 1 + -43. 37 What is -21 - ((109 - 36) + -44)? -50 What is the value of -87 - (3 + (5 - (8 + 0)))? -87 Evaluate 6 + 1 + 0 - 0 - (65 + 21 - 87). 8 Calculate -27 + (-8 - -3) - (-3 + (5 - (-5 - -9))). -30 Calculate 7 - ((-5 - (-4 + -37)) + 9 + -2). -36 What is (0 - -23) + (18 - 32 - 5 - (0 + -12))? 16 (6 - (-58 + 7)) + (2 + -14 - 0) 45 What is the value of 42 - (307 - 304 - (29 - 0))? 68 Calculate 7 - (-5 + 5 + 71 - 16). -48 Calculate -103 + (-55 - -42 - (-15 - (2 + (-4 - -1)))). -102 What is -251 - -240 - (6 + -42 + 3)? 22 (0 - 50) + (-517 - -552) -15 Calculate -736 + 782 - (4 + -1). 43 Calculate (-1 + 4 - (-22 - -49)) + (-8 - 1). -33 19 - (8 - -18) - (0 + -6) -1 What is 100 + -1565 + 1576 + -6 + 1 + 8 + -7? 107 What is the value of 43 + -128 + 196 + 10? 121 Evaluate -1 + -43 + (-153 + 166 - (-1 + 8)). -38 -32 - (-24 + 23) - -83 52 What is the value of (-44 - (44 + -53)) + 69? 34 What is -48 - (-17 - (-31 - -32))? -30 What is -6 - (35 - (0 + 1) - ((-88 - -175) + -98))? -51 Calculate 10 - (139 - (9 - -12 - 28)) - -19. -117 What is (-1 - -1) + 83 + (33 - -15) + (-9 - 49)? 73 What is the value of 5 + 2 + (-69 - -57) + (-3 - -23)? 15 What is -61 - (-63 + (148 - 114))? -32 Evaluate (1 + -4 - ((-33 - -9) + 8)) + (378 - 258). 133 (-68 - (-60 - -48)) + 45 -11 2
{ "pile_set_name": "DM Mathematics" }
common multiple of 10066644 and 23488836? 70466508 Find the common denominator of -62/33405 and -53/290820. 4943940 Calculate the common denominator of -125/6 and -40/448239. 896478 Calculate the smallest common multiple of 26694304 and 11293744. 293637344 Calculate the lowest common multiple of 1062117 and 1380. 21242340 Calculate the common denominator of -31/1224 and 43/30267. 4116312 What is the lowest common multiple of 6850 and 6288300? 6288300 Calculate the lowest common multiple of 10010 and 60906300. 669969300 Find the common denominator of 79/70 and 61/335770. 2350390 What is the common denominator of 10/62292393 and -97/15618? 124584786 What is the common denominator of 111/83561744 and 67/32536? 584932208 What is the common denominator of 8/4559 and 13/1936? 8826224 What is the common denominator of 55/10497448 and 31/410? 2151976840 Find the common denominator of 23/1565770 and -71/1565770. 1565770 Calculate the common denominator of 38/4071 and 127/552828. 32616852 Find the common denominator of -39/8 and 133/63250272. 63250272 Calculate the least common multiple of 773948 and 7596. 6965532 Find the common denominator of 83/4 and -29/3081757. 12327028 Find the common denominator of 26/11 and 27/3382717. 37209887 What is the common denominator of 55/401354 and -123/350? 70236950 What is the least common multiple of 1146888 and 44? 12615768 Calculate the common denominator of 107/38 and -131/1930092. 36671748 Find the common denominator of 58/8677179 and -79/2021565. 564016635 Calculate the lowest common multiple of 2120 and 1039595. 8316760 What is the common denominator of 15/85613 and -109/203082? 8732526 Calculate the smallest common multiple of 9810 and 3055350. 999099450 What is the common denominator of 29/395910 and 17/104124330? 104124330 Calculate the lowest common multiple of 336 and 1890750. 105882000 Calculate the common denominator of -13/68847 and 97/596674. 1790022 Find the common denominator of -101/1770 and 13/7055574. 35277870 Calculate the common denominator of 43/5111952 and 83/8430. 25559760 What is the lowest common multiple of 1 and 46177354? 46177354 What is the common denominator of 32/137376243 and -131/641196? 549504972 Calculate the common denominator of 28/4811 and 37/379786. 6456362 What is the common denominator of 47/404 and -109/363196? 363196 Calculate the least common multiple of 294219 and 243. 2647971 What is the smallest common multiple of 814 and 57868? 636548 Find the common denominator of 73/250049294 and -83/250049294. 250049294 Find the common denominator of 43/1791 and 97/746. 1336086 What is the smallest common multiple of 38489668 and 355? 192448340 Find the common denominator of -1/418689834 and -10/67. 418689834 Calculate the lowest common multiple of 5147934 and 1221. 190473558 Calculate the smallest common multiple of 13571554 and 66. 447861282 What is the common denominator of -56/153 and -149/4749318? 80738406 What is the common denominator of -107/48904638 and -149/12? 97809276 Calculate the lowest common multiple of 73272 and 19170. 3297240 Calculate the smallest common multiple of 18 and 383437854. 383437854 What is the common denominator of 67/1269837 and -41/1799? 8888859 What is the common denominator of 29/95 and -9/2008040? 38152760 Calculate the common denominator of 97/16261982 and -43/7391810. 81309910 Calculate the common denominator of 17/2602 and 83/1414. 1839614 What is the least common multiple of 30668931 and 27261272? 245351448 What is the common denominator of -11/1593 and 10/1682739? 5048217 Calculate the common denominator of -85/10243368 and 43/8. 10243368 What is the least common multiple of 19536570 and 16? 156292560 What is the lowest common multiple of 8 and 133568366? 534273464 What is the smallest common multiple of 132114 and 1404? 30914676 What is the least common multiple of 192 and 5043936? 10087872 Calculate the lowest common multiple of 375 and 109500. 109500 What is the least common multiple of 6 and 506802? 506802 What is the lowest common multiple of 587200 and 62880? 230769600 Calculate the common denominator of 37/33 and -103/539861250. 5938473750 Calculate the smallest common multiple of 747 and 1092972. 272150028 Calculate the lowest common multiple of 9534 and 343224. 343224 Calculate the common denominator of 137/654234 and 143/82950. 1292112150 What is the common denominator of 71/13713744 and -63/207784? 13713744 Calculate the least common multiple of 39075 and 58650. 30556650 Find the common denominator of -143/299430 and -149/324. 1796580 What is the least common multiple of 3582772 and 18? 32244948 What is the least common multiple of 33690 and 600805? 3604830 What is the smallest common multiple of 15483050 and 619322? 15483050 What is the common denominator of 67/10230 and -52/20595? 14045790 Calculate the common denominator of 2/147 and 41/2223081. 2223081 What is the common denominator of 8/31799793 and -12? 31799793 What is the common denominator of 79/1612830 and -61/296925? 862864050 Calculate the least common multiple of 2811483 and 6417. 64664109 What is the lowest common multiple of 17729046 and 14774205? 88645230 What is the lowest common multiple of 105968 and 1688? 22359248 Find the common denominator of 88/63 and -67/2942982. 2942982 Calculate the lowest common multiple of 1383 and 10680448. 32041344 Calculate the smallest common multiple of 113060420 and 44. 113060420 Find the common denominator of -59/66 and 85/4699506. 51694566 What is the least common multiple of 31838926 and 9860? 318389260 Calculate the least common multiple of 92292750 and 9944. 369171000 Calculate the least common multiple of 5068 and 42112365. 1179146220 Calculate the lowest common multiple of 17151216 and 6431706. 51453648 What is the lowest common multiple of 14084 and 14084? 14084 Find the common denominator of -23/151305 and -19/45360. 65363760 What is the smallest common multiple of 6584 and 889652? 1464367192 What is the common denominator of 101/1063504 and 73/1612? 32968624 Calculate the smallest common multiple of 9210972 and 456. 18421944 What is the smallest common multiple of 2178 and 416115? 100699830 Find the common denominator of 49/688623 and 163/1248. 22035936 Calculate the least common multiple of 1425 and 2119130. 603952050 Calculate the smallest common multiple of 47460 and 26197920. 26197920 Calculate the least common multiple of 1840 and 818800. 818800 Find the common denominator of 131/813204 and 41/1668. 113035356 Calculate the common denominator of 13/140814 and -1/378. 2957094 Calculate the common denominator of 18/18491 and 9/810242. 8912662 Find the common denominator of 55/3839314 and 5/18. 34553826 What is the common denominator of 101/22765860 and -127/120978? 250424460 Calculate the smallest common multiple of 45 and 36032121. 180160605 Calculate the least common multiple of 5028 and 1214. 3051996 What is the common denominator of 27/22395134 and 97/22938? 67185402 Find the common denominator of 129/264573370 and -44/575. 1322866850 What is the common denominator of 95/90048 and -55/31922016? 63844032 Calculate the least common multiple of 1283680 and 5776560. 11553120 What is the common denominator of -57/31921010 and -103/8705730? 95763030 Calculate the common denominator of 1/1529664 and -11/690816. 21415296 What is the lowest common multiple of 5894100 and 6750? 29470500 Calculate the least common multiple of 132993 and 280763. 2526867 What is the least common multiple of 62640447 and 654? 125280894 What is the lowest common multiple of 410501 and 377? 11904529 What is the common denominator of -113/811020 and -59/9348? 631784580 What is the smallest common multiple of 2016 and 47986? 48369888 What is the common denominator of 13/51204 and -65/834324? 14183508 Calculate the least common multiple of 1725 and 52693. 3951975 What is the least common multiple of 721654 and 10? 3608270 Calculate the least common multiple of 199094 and 284420. 1990940 What is the common denominator of 137/105099648 and 43/10? 525498240 Find the common denominator of 5/731913 and 23/1092. 2927652 Calculate the least common multiple of 6759 and 704628. 529175628 Find the common denominator of -101/540 and 71/120449295. 4817971
{ "pile_set_name": "DM Mathematics" }
What is (88/(-36) - -3)*54/45? 2/3 What is the value of 3/(-2)*(-5)/((-45)/6)? -1 (-6 + (-6)/(-1))/8 0 What is ((-2)/(-19))/(11 - (18 + -8))? 2/19 Calculate 0/(-3)*(0 - (-3)/6). 0 What is 0 + -1 - ((-7 - -9) + 4)? -7 What is the value of -7 - 123*(-6)/108? -1/6 (-3)/(-5)*(1 - (-72)/(-42)) -3/7 Evaluate 2100/(-1680) + 1/(40/26). -3/5 Calculate 3/2*8*(-9)/972. -1/9 What is the value of (-3 + 519/171)*3? 2/19 What is the value of 1560/160 - ((-22)/(-8) - 2)? 9 What is 4/(-10) - (-51)/15? 3 Calculate (1/1)/((-41)/82). -2 Evaluate -13 + 95/5 - 23/4. 1/4 Calculate (1 - 0)/(488/(-24) - -19). -3/4 Calculate 12/9*35/(-70). -2/3 Calculate (-75)/(-15) - 1*3. 2 Calculate 7 - 23 - -8 - -4. -4 What is the value of 168/(-2646)*-3*3? 4/7 What is 1/((-4)/16) - 1? -5 Evaluate (-4)/(-14) + 660/(-105). -6 Evaluate (-10 - (-318)/36) + 3/18. -1 Calculate (-1)/(-4) - (-18)/(-360). 1/5 What is ((-3)/12)/((-8)/(-32))? -1 Evaluate (-38)/8 + (-190)/152. -6 Calculate (3/(-6))/(2/(-4)). 1 Evaluate 3 + 1/3 - (2 - -2). -2/3 (-52)/(-117) + (-13)/9 -1 (-630)/756*-3*1/20 1/8 (-807)/(-538)*(12/10)/(-3) -3/5 What is ((-32)/7)/8*7? -4 186/42 - (3 - -2) -4/7 What is the value of (-1 + 2/4)*(14 - 12)? -1 Evaluate 51/(-15) + (-9 - 504/(-60)). -4 What is (2/16)/(8/32)? 1/2 What is the value of (-4 - 28/(-6))*(-18)/66? -2/11 -1 + 1 - (-5 + 12 + -4) -3 4*(-2 - (-3 - (-132)/136)) 2/17 3*2*(-23)/(-46) 3 (-6)/(-9)*(0 + 3/18) 1/9 What is the value of (86/(-14) + 6)/((-4)/(-14))? -1/2 Evaluate 5/9*(-4)/10. -2/9 ((-48)/15)/(-4) + (-77)/140 1/4 Calculate (-2)/(-15) - (-129)/45. 3 What is 17/(408/162) - (-3)/12? 7 What is the value of 0 - -4 - (-8 + 6)? 6 What is the value of -6*(60/(-108) + (-2)/(-3))? -2/3 What is 814/1406*4/22? 2/19 What is the value of 4/(-6) + 142/213? 0 What is the value of (-66*1)/(-6) + -3 + 1? 9 Calculate (-2*4)/(244/(-61)). 2 What is the value of (-9)/(-10 - -1)*-3? -3 Evaluate (18/6 - 4) + (-2)/2. -2 Evaluate (-1 - (0 - 0))*(7 + -11). 4 Evaluate 9 + (-2365)/198 - 10/(-4). -4/9 Calculate ((-7)/((-294)/12))/((-2)/(-42)). 6 Evaluate (48/7)/(-3) + 70/245. -2 What is the value of 6/(-5)*(4 + (-15)/10)? -3 What is (14*12/42 - 4)/(-1)? 0 Calculate 88/(-99)*(-4)/(-8). -4/9 Calculate (12/24)/(3/2). 1/3 Evaluate (-134)/(-26) + (-3 - 2)/1. 2/13 What is -5*(0/8 - 1)? 5 Evaluate -1 - (-15)/(-21) - -2. 2/7 (-2)/(-1 - (174/(-18) - -8)) -3 What is 16 - (-112)/((-154)/11)? 8 What is -7 + (-1197)/(-135) - (-20)/(-12)? 1/5 Evaluate (-15)/(-3) - (9 + -1). -3 (1/38)/((-6)/24) -2/19 Calculate 15/25*(-3)/9. -1/5 Calculate 6/(-3) + 14/(392/63). 1/4 Evaluate (-7 + 2)*(-11 + 23 - 11). -5 Evaluate (2/78)/((-105)/(-315)). 1/13 Calculate (104/(-8) - -9)*2. -8 What is the value of 8/(-494)*13/(-2)? 2/19 24/(-15) + -7 - -9 2/5 What is 6/4 + ((-6)/4 - -3)? 3 Calculate 3*(30/(-6))/5. -3 What is the value of (-12 + 13)*0/(-2)? 0 Evaluate 3/(-2) + (-155)/(-10) + -7. 7 Evaluate -4 + 6 - (-38)/(-18). -1/9 What is the value of (-4)/8 + (-18)/4? -5 What is ((-10)/(-55) - 0) + (-92)/22? -4 2/(-6) + 438/(-171) - -3 2/19 Evaluate (26/(-91) - 116/(-357))*-3. -2/17 What is 2*((-6)/11)/6? -2/11 Calculate 4/22 - (-371)/77. 5 Evaluate -3 + (5 - (-4 - -2)). 4 Evaluate (-6)/(-7)*(-364)/(-104). 3 What is ((-6)/7)/(-3)*(-31)/(-62)? 1/7 What is the value of 33/(-24)*-8 - 21? -10 What is 10/(120/18)*2 - 10? -7 Evaluate -12*(-7)/(-14)*1/3. -2 What is ((-3)/(-10))/(-3) - 17177/1930? -9 29/4 - 7 - 92/(-16) 6 What is (24/(-60))/(108/15 + -5)? -2/11 What is (4 + 8 - 8) + 2? 6 Evaluate ((-8)/9)/4 + (-6)/(-27). 0 What is the value of (-12)/(-3) + 34/(-8)? -1/4 Calculate 3 - (-175)/(-45) - (-2)/9. -2/3 Calculate 7/8*3 - (-14 - -17). -3/8 (-147)/36 + 1 + 6/2 -1/12 Calculate -1 - ((3 - 7) + (-1 - -4)). 0 What is (-4)/(-14) + (2821/(-245))/13? -3/5 What is the value of 10/((-44)/(-20) + (-2)/10)? 5 What is the value of 70/30 + 24/(-8)? -2/3 Calculate 122/(-52) + 2 - (-3)/6. 2/13 What is the value of 0 + (2 - 1) - (-15)/(-21)? 2/7 Evaluate ((-20)/(-12) + -2)/((-1)/(-6)). -2 Evaluate (-6)/3 - (-9)/(27/12). 2 0/(6/(-4) + (-1)/(-2)) 0 1/(15/50) + 2/3 4 What is (-4)/24 + (17/(-6) - 1)? -4 What is the value of (-6)/8*8*5/(-15)? 2 What is -15*(442/39 + -11)? -5 What is the value of ((-4)/6)/((-3)/((-9)/2))? -1 What is the value of ((-3 + 2)/(-2))/((-6)/(-60))? 5 Calculate (-1 - (-4)/6)/(9/81). -3 What is the value of 0/(-5) - (-2)/(-3)? -2/3 Calculate (-38)/76*(-2)/(-3). -1/3 Calculate ((-155)/1395)/(16/(-18)). 1/8 What is (21/5 + -4)*(-4 - -8)? 4/5 What is the value of (-30)/9*(-1)/(-8)*6? -5/2 Calculate 504/(-96) + 10/(2 - 0). -1/4 What is the value of 176/77 - 3/(6/4)? 2/7 What is the value of 10/1 - 2323/230? -1/10 7*2*(-28)/(-490) 4/5 What is 55/22*4/30? 1/3 Evaluate 7/(-21)*(-36)/(-4). -3 What is the value of (95/20 - 9/(-36)) + -2? 3 What is ((-6)/4)/((-8)/(96/9))? 2 What is the value of (-180)/22 + 126/693? -8 What is -2 + 1 + 3/(3/(-4))? -5 Calculate 6*(1 + 4 + (-48)/9). -2 (8 + (-432)/60)*(-5)/(-2) 2 (-14)/(-60) - (-12)/72 2/5 -2*(-6)/(7 + -4) 4 What is ((-7)/(-28))/(1/4)? 1 Evaluate 1/(-6) + 7/(-63)*3. -1/2 What is 1350/(-190) + 16/152? -7 Calculate 3*(100/15)/4. 5 Evaluate (1 - -1) + (-5 + -6 - -19). 10 Calculate 0 - (-2 + 7)*-1. 5 Calculate 204/60 + (-2)/5. 3 Evaluate (-2 - -6 - 4)/(-1). 0 What is the value of 60/(-30) + -3 + -1? -6 What is (-17)/(-102) + ((-57)/126)/1? -2/7 Calculate (38/76)/(33/(-36)). -6/11 What is the value of (15/(-50))/(4/16)? -6/5 What is the value of (-3 + 5)*3/(-14)? -3/7 Calculate -3 - (-116)/36 - 4/99. 2/11 What is the value of 1972/1740 - (-1)/5? 4/3 What is the value of (-15*(-7)/35)/((-3)/(-4))? 4 Evaluate (-42)/(-54) + -4 + 12/4. -2/9 Calculate (-8)/40 + (-2)/(-10). 0 What is 2 + 13/(-4) - 48/(-192)? -1 Evaluate 5/5 - (10 + -9). 0 Calculate 1/((-5 + 6)*(1 + -2)). -1 Calculate (-16)/40 - 140/(-225). 2/9 What is -2*(0 - (0 - (-2)/1))? 4 (11/44)/(1 - (-6)/(-8)) 1 What is (-100)/25 - (1 + -8 + 1)? 2 (-16)/44 - (-936)/1001 4/7 (-4)/42*(-351)/(-78) -3/7 What is (-6)/27 + 32/(-18) + 2? 0 (-3)/(-12)*32/24 1/3 Calculate (48/(-600))/(18/(-10) + 2). -2/5 Calculate (312/28)/2 - 9/(-21). 6 Evaluate (-17)/7 - (-9)/21. -2 Calculate -2 + (3 - 4) - (-40)/14. -1/7 What is the value of 4/(-6)*1*(-1 + -5)? 4 Calculate 2 + 4*-2 + 1 + 1. -4 -2 + 0 - (1/(-1) + -5) 4 (-1056)/(-64)*(-12)/(-44) 9/2 Calculate (((-1)/4)/((-189)/(-324)))/(-1). 3/7 What is (-189)/(-36) + 1/(-4) + -1? 4 (-3)/(117/(-6)) + (-24)/494 2/19 -4 + 102/114 - -3 -2/19 0 - (-4)/10 - (-168)/(-320) -1/8 Evaluate (-2 - -5)*(-224)/84. -8 Evaluate (-22)/(-24) + 2/(-8). 2/3 -2*(-6 - (-10 + 5)) 2 What is ((-27)/108)/(33/36)? -3/11 Evaluate (-1023)/3762 - 4/(-38). -1/6 Calculate (-3)/(-9)*3/(-2). -1/2 Evaluate 15/(-5)*4/(-15). 4/5 What is the value of 3*(5 + (2 - 10))? -9 (4/8)/((-153)/30 - -5) -5 3 + (-7 - -9 - 9) -4 (-9)/(-14)*(-8 + (-260)/(-30)) 3/7 Evaluate 9 - (-1 + 16*(-8)/(-32)). 6 Calculate 1 + 0 + 11/22 - 1. 1/2 What is the value of 63/(-18)*(0 + -2)? 7 What is the value of (-6)/10 + (-312)/130? -3 (-264)/2816*(-2)/3 1/16 What is the value of (-2)/(-13) - 400/(-1625)? 2/5 What is the value of 45/81 - 12/(-27)? 1 Calculate ((255/(-12))/17)/(1 - 6). 1/4 What is 0/(-7 - -6)*(-2)/(-4)? 0 Calculate 2*(-35)/(-44) + (-3)/2. 1/11 150 + -164 - (-9)/1 -5 What is the value of 4*(7*(-7)/(-49))/(-1)? -4 Calculate (7/(-6))/(33/198). -7 What is 3 - (13 - (8 - 6))? -8 0/(-14) - (-5 - 0) 5 What is the value of ((-1 - -2)*-3)/(17/(-51))? 9 (12/240*12)/(9/(-6)) -2/5 What is the value of -10*-3*(14/12 - 1)? 5 8*3/36*-2 -4/3 Evaluate 1*(16/(-40) - 0). -2/5 What is the value of (1*-5 + (-1023)/(-198))/(-2)? -1/12 (3/16)/(15/12 - 1) 3/4 396/88*(-4)/(-42) 3/7 Calculate 5/((-225)/(-10)) + (-166)/18. -9 Evaluate (31 - 19) + 134/(-11). -2/11 Evaluate ((-15)/(-18))/(300/270). 3/4 Evaluate (-117)/(-208)*4/(-18). -1/8 Evaluate 1*-2*(-2)/(-4). -1 Calculate (((-10)/30)/(-1))/(2/(-30)). -5 (8/14)/(374/119) 2/11 Calculate ((-3)/4)/((-124)/16 - -8). -3 What is the value of 95/38*(-28)/455? -2/13 What is (18/(-12) - 3*-1)*2? 3 What is (-2 + (-12)/8)*(2 - 0)? -7 Evaluate ((-84)/(-135))/14*-10. -4/9 What is the value of 84/(-315)*3/2? -2/5 ((-8)/36)/(1 + 28/(-24)) 4/3 Evaluate -4 + 5 + (4 - 3). 2 Evaluate ((-81)/(-21) + -4)*(-28)/(-20). -1/5 -10 + 4 + 2 - (-1320)/340 -2/17 Evalua
{ "pile_set_name": "DM Mathematics" }
120 = 0 for z. 4 Solve -1 = -15*m - 46 for m. -3 Solve -10 - 50 = 12*n for n. -5 Solve 68*j + 6 = 74*j for j. 1 Solve 12*u - 98 = -170 for u. -6 Solve 4*m = 8*m - 4 for m. 1 Solve -65*r = 8*r - 73 for r. 1 Solve 3*a - 10*a = 2*a for a. 0 Solve 2*m = -13*m + 60 for m. 4 Solve -2*u = -4*u - 4 for u. -2 Solve -633*z + 625*z = 0 for z. 0 Solve o + 2 = -o for o. -1 Solve -8 = 14*d + 20 for d. -2 Solve 7*i = 110*i - 412 for i. 4 Solve 32 = -834*l + 826*l for l. -4 Solve -9 + 12 = h for h. 3 Solve 37 = 19*b + 18 for b. 1 Solve 6*i + 25 - 31 = 0 for i. 1 Solve 0 = 9*k + 261 - 189 for k. -8 Solve 0 = 4*t - 2 + 6 for t. -1 Solve -m = 44 - 52 for m. 8 Solve 40 = -21*f + 187 for f. 7 Solve -8*f - 22 = 10 for f. -4 Solve 0 = 3*c - 10*c + 7 for c. 1 Solve -20*b - 54 = -2*b for b. -3 Solve 0 = 2*r + 12 - 22 for r. 5 Solve 46*n + 195 = 7*n for n. -5 Solve 0 = -8*k - 45 + 5 for k. -5 Solve -121*p = -34*p + 261 for p. -3 Solve 3*c + 40 = 25 for c. -5 Solve 768 - 845 = 11*i for i. -7 Solve -k = 18*k - 76 for k. 4 Solve -8 = 17*z + 26 for z. -2 Solve 7*t + 18 = t for t. -3 Solve -15*i - i - 16 = 0 for i. -1 Solve -121*y + 14 = -107*y for y. 1 Solve 0 = 4*a - 232 + 236 for a. -1 Solve 6*w = 7*w - 2 for w. 2 Solve -3*t = -5*t + 4 for t. 2 Solve -84*n + 83*n = -4 for n. 4 Solve -149*q - 165 = -16 for q. -1 Solve 2*s + 15 = 7 for s. -4 Solve -39*f + 17*f = -18*f for f. 0 Solve 22*k - 17 = 71 for k. 4 Solve -23*b - 24 = -11*b for b. -2 Solve 2*n = -3 + 7 for n. 2 Solve -7*n = 535 - 507 for n. -4 Solve -159 + 111 = -12*v for v. 4 Solve -26*l = -24*l + 6 for l. -3 Solve -2*i + 53 = 63 for i. -5 Solve 0 = 9*b - 4 + 13 for b. -1 Solve 0 = -7*z - 17*z - 144 for z. -6 Solve 0 = -47*i + 44*i + 6 for i. 2 Solve 5 - 9 = -4*i for i. 1 Solve 0 = -5*j + 6 - 11 for j. -1 Solve 548*n = 542*n + 66 for n. 11 Solve -12 = -33*o + 30*o for o. 4 Solve 15*p - 32 = 7*p for p. 4 Solve b - 19 = -18*b for b. 1 Solve 6*j - 30 = 12*j for j. -5 Solve -76*q - 15 = -71*q for q. -3 Solve 124*f - 20 = 120*f for f. 5 Solve 13 = 6*j - 11 for j. 4 Solve 54*x - 12 = 51*x for x. 4 Solve -34 = -12*v + 50 for v. 7 Solve 0 = -7*a + 11*a - 4 for a. 1 Solve 450*h - 24 = 454*h for h. -6 Solve -43*m + 90 = -88*m for m. -2 Solve -13*w + w = -36 for w. 3 Solve -2*p = -73 + 63 for p. 5 Solve 4*j - 14 = -26 for j. -3 Solve 186*n - 183*n + 3 = 0 for n. -1 Solve -2*s + 320 - 316 = 0 for s. 2 Solve -5*p - 29 + 4 = 0 for p. -5 Solve 4*k + 8 = -4 for k. -3 Solve -6*u - 36 = -6 for u. -5 Solve -12 = -7*q + 2 for q. 2 Solve 29*l - 12*l + 34 = 0 for l. -2 Solve 0 = 10*p + 19 - 19 for p. 0 Solve -3*f = 3 - 0 for f. -1 Solve -13*s = -2*s for s. 0 Solve -42*z + 69 = -99 for z. 4 Solve -515*p + 503*p = 0 for p. 0 Solve 2 = 6*r - 16 for r. 3 Solve -5*t - 16 = -t for t. -4 Solve 23*b + 36 = 35*b for b. 3 Solve -52 + 44 = 4*y for y. -2 Solve 20*d - 15*d = -20 for d. -4 Solve -18 = -b - 5*b for b. 3 Solve -8*z + 0 = -32 for z. 4 Solve 18*o = 412 - 376 for o. 2 Solve 7*n - 16 = 5 for n. 3 Solve -55*n - 18 = -64*n for n. 2 Solve 21*d + 445 = -68*d for d. -5 Solve 10*b - 14 = -44 for b. -3 Solve -4*t = 11 - 23 for t. 3 Solve -336*c = -332*c + 8 for c. -2 Solve -6*h + 22 = -17*h for h. -2 Solve 4 = 2*q - 6 for q. 5 Solve -11 = 2*k - 19 for k. 4 Solve -4*j = 9 - 13 for j. 1 Solve b + 4*b - 20 = 0 for b. 4 Solve -3*h + 23 - 14 = 0 for h. 3 Solve -3*k - 275 = -299 for k. 8 Solve 0 = -26*z + 118 + 38 for z. 6 Solve 5*k = 58 - 73 for k. -3 Solve -959*c = -968*c + 36 for c. 4 Solve 48 - 56 = -2*g for g. 4 Solve -5*x = x - 12 for x. 2 Solve -305*z = -299*z - 66 for z. 11 Solve 10*p + 9 = -11 for p. -2 Solve 0 = 7*p + 7 + 14 for p. -3 Solve 0 = 295*w - 302*w + 49 for w. 7 Solve 0*t = 25*t - 100 for t. 4 Solve 7*d = 4*d - 3 for d. -1 Solve 0 = 29*n - 113 - 3 for n. 4 Solve -36*y + 138 = 318 for y. -5 Solve 4*a + 6 + 10 = 0 for a. -4 Solve 0 = 27*q - 58 + 4 for q. 2 Solve -6*h + 238 = 274 for h. -6 Solve -4*u = -5*u - 1 for u. -1 Solve 2358 = -2*r + 2350 for r. -4 Solve -9*m - 61 + 79 = 0 for m. 2 Solve 10*a - 110 = -12*a for a. 5 Solve 479 = 11*j + 446 for j. 3 Solve t = 39 - 34 for t. 5 Solve 57*c - 8 = 163 for c. 3 Solve 110*t - 114*t = 16 for t. -4 Solve -6*k + 4 = 28 for k. -4 Solve 14*v - 3*v + 55 = 0 for v. -5 Solve 5*a = 8 + 7 for a. 3 Solve 28*v = 135 + 89 for v. 8 Solve -8*c = -27 - 21 for c. 6 Solve 23*g = 39*g - 22*g for g. 0 Solve -4*o - 6 = 2 for o. -2 Solve 9*j - 46*j + 333 = 0 for j. 9 Solve -10*j + 4 = -11*j for j. -4 Solve -51*b - 49*b - 900 = 0 for b. -9 Solve 3776*s = 3766*s + 100 for s. 10 Solve 10*g - 6*g = 12 for g. 3 Solve -10*w - 25 = 35 for w. -6 Solve 22*u = u + 21 for u. 1 Solve -q - 3 = -7 for q. 4 Solve 146*r = 149*r + 21 for r. -7 Solve 10 - 60 = -10*w for w. 5 Solve 97 = 14*d - 29 for d. 9 Solve -22 = 6*x + 32 for x. -9 Solve 38*d + 256 = -26*d for d. -4 Solve 6*z = -2*z + 3*z for z. 0 Solve 0 = -4*u - 35*u - 156 for u. -4 Solve 0 = -41*t + 141 + 105 for t. 6 Solve -84 = -65*h + 23*h for h. 2 Solve 0 = -o - 2 + 4 for o. 2 Solve -4*l - 50 = -14*l for l. 5 Solve 13*s - 4 - 22 = 0 for s. 2 Solve w - 7 + 11 = 0 for w. -4 Solve 7*q = -66 + 31 for q. -5 Solve 50 = 34*u + 16 for u. 1 Solve -5 = -6*o + 1 for o. 1 Solve -31*w = -32 + 218 for w. -6 Solve 13 = 5*s + 38 for s. -5 Solve 0 = 16*i + 28 - 60 for i. 2 Solve 0 = -8*b + 15 - 79 for b. -8 Solve 1365*n - 30 = 1360*n for n. 6 Solve 4*j + 15 = 9*j for j. 3 Solve 5*a - 32 = -12 for a. 4 Solve 0 = 277*h - 269*h - 48 for h. 6 Solve 30*b = 43*b + 48*b for b. 0 Solve 19 - 87 = -34*s for s. 2 Solve 33 + 12 = -9*j for j. -5 Solve 0 = 13*g + 7*g - 40 for g. 2 Solve -52*v = 38*v + 810 for v. -9 Solve 0 = -47*o + 48*o - 3 for o. 3 Solve -67*d = -488 - 48 for d. 8 Solve -49*p - 219 = -23 for p. -4 Solve -17*b - 85 = -51 for b. -2 Solve 205*m - 213*m + 40 = 0 for m. 5 Solve 0 = 22*f - 67*f - 225 for f. -5 Solve -6*v + 2*v + 4 = 0 for v. 1 Solve 8 + 3 = 11*g for g. 1 Solve -8 + 11 = -3*g for g. -1 Solve -22*x + 88 = -44*x for x. -4 Solve -6*m = -26*m + 60 for m. 3 Solve 25 = -9*x + 4*x for x. -5 Solve 36*y = -31 - 5 for y. -1 Solve 42*m - 37*m = 5 for m. 1 Solve -48*x + 44*x + 16 = 0 for x. 4 Solve 0 = 14*q + 2 + 12 for q. -1 Solve 4*c + 15 = -5 for c. -5 Solve 29*k - 26*k + 9 = 0 for k. -3 Solve n + 2 - 5 = 0 for n. 3 Solve 2*z = -4 - 6 for z. -5 Solve -13*g + 21 = -6*g for g. 3 Solve 2*r + 8*r = 0 for r. 0 Solve 0 = -5*p - 204 + 189 for p. -3 Solve -24*c + 40 = -14*c for c. 4 Solve 22*x = -11*x + 132 for x. 4 Solve 8*n + 15 = -1 for n. -2 Solve -6*q - 7 = -13*q for q. 1 Solve -7*z - 69 = -104 for z. 5 Solve -9*o + 34 = 52 for o. -2 Solve 0 = 11*n - 10*n for n. 0 Solve 1 = -3*a + 10 for a. 3 Solve -411*m + 80 = -403*m for m. 10 Solve -6*g + 31 = -11 for g. 7 Solve 216*g = 189*g - 162 for g. -6 Solve -40 = -10*n - 0*n for n. 4 Solve 3*l - 41 = -26 for l. 5 Solve 26*k + 8 = -44 for k. -2 Solve 12*y + 16 = 4*y for y. -2 Solve 0 = 2*z + 41 - 61 for z. 10 Solve -2*m + 8 = -4*m for m. -4 Solve 125 + 395 = -65*s for s. -8 Solve 24*d - 21*d = -6 for d. -2 Solve -10*r + 11 = 21 for r. -1 Solve -40*f + 4 - 124 = 0 for f. -3 Solve 1350 = c + 1343 for c. 7 Solve 5*q - 376 = -386 for q. -2 Solve r + 13 = 8 for r. -5 Solve -41*m + 6 - 170 = 0 for m. -4 Solve -10 = -14*x + 32 for x. 3 Solve 34 + 11 = 5*b for b. 9 Solve 0 = 3*j - 1 + 13 for j. -4 Solve -21 = 7*z + 14*z for z. -1 Solve 0 = 5*k - 1470 + 1480 for k. -2 Solve 192 = 82*g - 34*g for g. 4 Solve -21*f + 25*f + 4 = 0 for f. -1 Solve -184 + 43 = -47*v for v. 3 Solve 5*r - 40 = 25*r for r. -2 Solve x = -4*x for x. 0 Solve 0 = 197*l - 173*l - 48 for l. 2 Solve -11 = -10*z + 9 for z. 2 Solve -46 + 26 = -5*k for k. 4 Solve 0 = 8*r - 3 + 11 for r. -1 Solve -2*g = -7*g + 25 for g. 5 Solve -8*m - 24*m = -32 for m. 1 Solve 0 = -844*g + 837*g - 49 for g. -7 Solve 0 = 146*g - 149*g for g. 0 Solve -15*m - 73 = -148 for m. 5 Solve 0 = 44*y + 57 - 13 for y. -1 Solve 18*g - 6*g = -5*g for g. 0 Solve 42*x - 44 = -2*x for x. 1 Solve 0 = 341*n - 389*n + 48 for n. 1 Solve 4*s = 18*s + 42 for s. -3 Solve -3*t - 29 + 17 = 0 for t. -4 Solve 12*z - 7*z = -25 for z. -5 Solve 0 = -15*a + 7*a + 40 for a. 5 Solve -51*x + 40*x = -33 for x. 3 Solve -234 = -44*b + 18*b for b. 9 Solve -83*f = -157*f + 148 for f. 2 Solve -8*a + 10 - 26 = 0 for a. -2 Solve 0*i - 10
{ "pile_set_name": "DM Mathematics" }
((-1)/(-2))/(2/(-4)). Let l(c) = 5 + c + 2 - 4 - 2*c. Let o be l(s). Solve 5*j - 3*w + 17 = 6*j, -o*j + 24 = w for j. 5 Let l be 51*(4 + -3 + -2). Let p = 55 + l. Solve -p*r - r + 12 = -h, -5*h - 8 = r for h. -2 Let b be (7 + (-18)/4)*(-7 - -9). Solve -z + 4 = z, l + b*z - 11 = 0 for l. 1 Let w = -175 + 180. Solve -4*i - 24 = w*z, i + 14*z + 6 = 9*z for i. -6 Let m be (-40)/(-6) - 1/(-3). Let c(t) = -4939*t + 4949*t + 3*t**2 - 4*t**2 - 17 + 0*t**2. Let b be c(m). Solve -4*a = -2*w - 18, 2*a + 2 = b*w + 20 for w. -3 Let q(p) = p - 15. Let w be q(-5). Let a be (0*(-5)/w)/(-2). Solve 3*g + 4*c + 17 = 1, a = 2*g + 4*c + 16 for g. 0 Let y(j) be the third derivative of -j**4/3 - 7*j**3/3 + 63*j**2. Let h be y(-2). Solve -h*l + 5*r - 4 = 0, -3*l - 3 - 3 = -3*r for l. -2 Let f(x) = x**2 + 21*x - 93. Let v be f(-25). Suppose 0 = -8*n + v*n - 3, o + 4*n = -8. Solve o*w + 12 = -5*k, -2*k = w + 3*w for w. 2 Let i be (-7 - -6) + (1 - -2). Suppose 18*g - i*g = 80. Solve -n - 2*l + 13 = 2*l, g*n = -5*l + 20 for n. 1 Suppose -2892 = 17*d - 242*d - 16*d. Solve d*s - 2*t = 13*s + 7, 12 = 4*s - 2*t for s. 1 Let w(n) = -n**3 + 11*n**2 + 11*n - 136. Let l be w(11). Let u be ((-8)/l)/(-4) - 18/(-135). Solve u = -f - 2*f + 2*d + 18, -d = -f + 7 for f. 4 Let x = -49925 + 49927. Suppose 0*y = 4*y - 8. Solve x = r - 2*u - 1, -4*r - y*u = -2 for r. 1 Let y be (-42)/56 + 7/4 - -4. Suppose y + 5 = 5*b. Suppose -b*z = 14 - 32. Solve -2*w = -v - 0*w - 3, 0 = -4*v + 5*w - z for v. -1 Suppose 0 = 103*d - 123*d + 80. Solve 2*u + 4*y = -u + 4, 2*u + 4 = d*y for u. 0 Let h(n) = n**3 + 13*n**2 + 24*n + 23. Suppose -3*s = 3*s + 66. Let q be h(s). Suppose 3*v - 14 = q. Solve v*u + 14 = -g, u - 3*u + 12 = -4*g for g. -4 Suppose 3*h + 3*k = -51 + 48, k + 13 = 2*h. Solve -3*x = 5*j + 8, h*x + 5 = j + 2 for j. -1 Suppose -35 = -5*f - 5. Suppose 0 = -2*t - 0*t + f. Suppose 4*y = 2*u - 12, -2*u - 57*y - 2 = -54*y. Solve -k = -u, -c - t*k = -3*c - 10 for c. -2 Suppose 3*y - 1482 = -10*y. Let i = 124 - y. Solve -4*d + 4*n = 28, 2*n = 3*d - 2*d + i for d. -4 Let s(l) = l**2 + 4*l + 1. Let a be s(-5). Let g = 145257 - 145255. Solve -a = -f + g*v - 5*v, -v + 2 = 4*f for f. 0 Suppose 18 = 3*r + 69. Let g = r + 22. Let t be (-2)/(9/(-6) - -1). Solve -4*b - 24 = 3*l, t*b + g*l + 6 = -26 for b. -3 Let x be (-3)/4 - ((-8946)/(-24))/(-21). Let q = 45 + -31. Solve -5*f + x = -6*m + 3*m, -4*m - q = 2*f for f. 1 Let q(b) = 2*b**2 + 44*b + 37. Let k be q(-21). Let g be -1*(-6)/(-10)*k - 2. Solve -a + g = 0, 0 = 2*w - 2*a - 3*a + 9 for w. -2 Suppose 0 = 4*l + q - 29, 0 = 3*l - 3*q + 10 - 28. Suppose -34*n + 39*n = -2*y + 48, -y + 9 = n. Solve d + 3*d - n = -2*m, 2*d - l = -3*m for d. 2 Suppose 14*i = 31 + 25. Suppose i = 3*m + 7*u - 8*u, -3*m - 16 = -5*u. Solve m*s = -0*j - 2*j + 1, -5*j - 23 = -s for s. 3 Suppose -4*h + 32 = 4*n, 4*n = -22*h + 21*h + 23. Suppose -4*o + o - 3 = 0. Let t = 8 + o. Solve t = g - 4*m - 6, n*g - 14 = 3*m for g. 1 Suppose 4*m + 5*k - 53 = 167, 0 = m - 5*k - 30. Solve 4*n + m = -2*r + 26, 4*r + 8 = 0 for n. -5 Let w(k) = 2*k**3 - 3*k**2 + 3*k - 4. Let n be w(2). Suppose 0 = -0*z - 3*z, 0 = 2*h - 4*z + n. Let y = 3 + h. Solve r - 2*d = y, 4 + 1 = -2*r - d for r. -2 Suppose -3*w - 37 - 6 = -2*y, 4*y - 77 = -3*w. Solve 0 = 5*j + 3*z + 1, -4*j = -y*z + 18*z - 8 for j. 1 Let m be -8*((-559)/(-52) + -11). Solve -3*b + 3*a = 4 + 20, -4*b = m*a + 8 for b. -4 Let c be 6/8 + (-1035)/(-92). Suppose 8*m = c*m - 28. Suppose -2 = 2*l - v - v, -2*l - v = -7. Solve -w + l*h + 1 + 2 = 0, m = w + 2*h for w. 5 Let i(t) = -t**3 - 28*t**2 - 34*t + 468. Let w be i(-26). Solve w = d - 2*r, 0*d - 5*r = -4*d for d. 0 Suppose 2*x = -5*n + 56, 3*x + 2378 = n + 2479. Let k be (10 - 2)*(-1)/(-2). Solve 15 = -5*p - g, k*g + x = -4*p - g for p. -2 Suppose 689 + 423 = 66*a + 56. Solve 5*g + a*f = 15*f - 15, 31 = 2*g - 7*f for g. -2 Suppose 2*h + 115 = 25*h. Suppose 0 = 2*y - 28 - 4. Solve -5 + 17 = -c + 4*f, 0 = h*c - f - y for c. 4 Suppose b - 24 = 4*v, b + 1072*v - 1068*v + 24 = 0. Solve b = -q + 5*n + 2, 5*q + 5*n = 6*n + 10 for q. 2 Let h(s) = -s**2 + 3*s + 54. Let q be h(-10). Let b be 32/(-144) - q/18. Solve -d - b*d = 2*v + 8, -5*v - d - 20 = 0 for v. -4 Let r = 53 + -65. Let l be (5 - r/4)*2/2. Let w = 7 - 5. Solve 0*n + l = w*n, -2*f + 4*n - 14 = 0 for f. 1 Suppose -5*m + 46 = 36. Suppose -3*w = k - 11, w + m*k = 2*w + 1. Suppose -5*u + 130 = -3*o, w*u + 4*o + 67 = 6*u. Solve -5*d + u = -3*r + 4, 0 = 5*r for d. 5 Let b = -2794 - -2794. Solve b = -q + 2*w - 12, -4*w = -4*q - q - 30 for q. -2 Suppose 4*k - 5*c = 22, 4*k - 8 = -34*c + 32*c. Solve -4*f - 7 + 19 = -2*m, -5*m = f - k for m. 0 Let c = -91 + 16. Let p = 83 + c. Let f be (-11)/(-33) + 20/(-6) + p. Solve -f*g + 7 = 4*s, -11 = -s + 5*s - g for s. -2 Suppose 17*z - 52 = 4*z. Let u be (-1)/(5/(-10) + z)*-7. Solve -3*v - n + 9 = 0, u*n - 4 = 4*v - 2*n for v. 2 Suppose 7*p + 35 = 49. Solve p*a - 5*x - 6 = 0, -x + 15 = 5*a + 2*x for a. 3 Let w be (-1)/12*-4*8/56*0. Solve -5*s + w - 10 = 2*r, 5*s = 3*r + 15 for s. 0 Let r(v) = 5656*v + 50906. Let q be r(-9). Let x(g) = -g**2 - 6*g - 1. Let i be x(-5). Solve i*y + q*u + 22 = 0, y + 8 = 2*y - 4*u for y. -4 Suppose -3*s - 2*s = -6*s. Suppose 4*c + z - 22 = 0, 2*c - 11 = 2*z - 5. Solve 0 = -3*l - c*a - s*a - 26, -4*a = -4*l + 8 for l. -2 Let p be (-2*20*3/42)/(2/(-14)). Solve 5*c = 3*f - 20, p = -5*c + 8*f - 3*f for c. -4 Let v be ((-235)/(-94))/(42/(-20) - -2). Let g be (2 - v)/(9/9). Solve -3*l + 2*l - 4 = 0, -3*l - g = 5*j for j. -3 Let t(x) = 14*x - 319. Let k be t(23). Suppose 2*f + 19 = 3*b - 1, b + 2*f - 4 = 0. Solve -5*p - b = k*q, -2*q + 0*q + 5*p - 4 = 0 for q. -2 Suppose 20*v - 15*v = -5*h + 140, 3*v + 4*h = 90. Solve -5*i + 4*m = 26, 5*i + 3*m - 6*m + v = 0 for i. -2 Let x(p) = -9*p**2 - 219*p - 61. Let y be x(-24). Solve -2*n - 3*r + y = 2*r, 5*n + 7 = -r for n. -2 Let h(m) = -m**3 + 4*m**2 + 7*m - 8. Let t be h(5). Suppose -t*v = -53 - 5. Let q be 2/(-9) - (1 - v/9). Solve -k - 10 = q*o, -o - 5 = k - 0 for o. -5 Suppose 21 = 4*i + w, 0 = -34*i + 40*i - 4*w - 4. Solve i*t - 4*q - 16 = 0, -5*q = 5*t - 62 + 52 for t. 3 Suppose 3*v - 4*u - 57 = 230, -3*v + 2*u = -301. Solve 0 = 110*m - v*m + 3*x, -5*x = 3*m - 16 for m. -3 Let j(d) = -44*d - 45. Let f be j(-8). Suppose 4*t = 3*k + 377 - 1559, t = -5*k - f. Let n be 4/(-18) - 1254/t. Solve -n*s - 12 = 2*g, 4*s - 4*g - 9 = 3 for s. -1 Suppose -4*b - 9*m + 0*m = -5*m, 4 = -4*m. Solve -1 - b = l + 2*g, -4*l = 2*g + 14 for l. -4 Let s be 2 - (-44)/(-23) - 3288/(-276). Solve -3*q = 2*l + 4 + s, 0 = -4*l - 4*q - 28 for l. -5 Suppose 0 = -7*b + 6*b - 2*j + 25, 4*b - 4*j = 136. Suppose 9 = y + 2*h, 0 = 3*y + 3*h + 2*h - b. Solve y = x + 3*i, -5*i + 23 = -3*x + 4 for x. 2 Let m(p) be the first derivative of p**4/4 + 8*p**3/3 - 83*p**2/2 + 16*p + 100. Let u be m(-14). Solve -t - 16 = -4*y, u + 3 = -5*t - 5*y for t. -4 Suppose -3*j - 38 + 10 = -4*z, -16 = 4*j. Solve -b - 5*v - 18 = 0, -6 = -z*b + 2*b + 4*v for b. -3 Let i = -1733 - -1745. Solve -21 = 5*u - 2*d + i, -4*u + 5*d = 40 for u. -5 Let n be (-3194)/22 - 24/(-132). Let p = 148 + n. Solve 6*l + 5 = -p*o + 2*l, o - 2 = -5*l for o. -3 Let a(r) = r**2 + 10*r. Let x be a(-10). Suppose -3 = -m - x. Solve y - 19 = 2*y - 4*n, y = m*n - 14 for y. 1 Let x be (212/477)/((-1)/(-9)). Suppose -x*q + 26 = 10. Solve 2*s - 12 = q*n - 4, -s = -5*n - 13 for s. -2 Let x be (-117)/(-7) + (-42)/(-147). Suppose 138 - 2 = x*t. Solve 0 - t = -v + 3*q, -3*q = -2*v + 10 for v. 2 Suppose -2*c - 60*o + 63*o + 11 = 0, -2*c + o = -21. Solve -b + 4*v - 9 = 0, 3*b + 5 = 3*v - c for b. -5 Suppose -370 = 14*u - 398. Solve 3*x - 2*c - 13 = u*x, 5*x = -c + 10 for x. 3 Let n(q) = -q**2 + 11*q - 7. Let k be n(10). Suppose -37 = 7*i - 58. Solve -2*s - k = 3*l, -2*l - i*s = 1 + 1 for l. -1 Suppose 24*n - 8 + 3 - 43 = 0. Solve 2*r = -t + 2, 5*r = 6*t - n*t + 5 for t. 0 Let l(s) = -s**3 - 14*s**2 - 13*s + 8. Let c(h) = -h**3 + 6*h**2 - 3*h + 5. Let f be c(6). Let j be l(f). Solve -d = -2*i - 6*d + 19, -i - j = -d for i. -3 Let v(q) = -q**2 + 185*q - 1899. Let b be v(11). Solve 3*f = -4*c - 15, -7*f + 10*f + b = 2*c for c. 0 Let c = 325 + -320. Suppose 1 + 124 = c*v. Solve 2*x + 24 = h + 7*x, 5*h + v = 4*x for h. -1 Let f be 21/14*(-4)/
{ "pile_set_name": "DM Mathematics" }
(j*j**(-2)*j*j))**(-1/3)*(j/(j**2*j)*j**5/j*j)**49 assuming j is positive. j**(436/3) Simplify (m**(-4/11)/(m/(m/(m/m**12))))**(-1/5)/((m*m/(m*m*m**(3/2)))/(m*m**6/m)*(m/(m/m**(2/3)*m*m))**(-35)) assuming m is positive. m**(-13627/330) Simplify ((a*(a*a**(-2/3))/a)/a*a*a**(-11)/a*(a/(a*a**39*a*a))/a**(5/4))**(-23) assuming a is positive. a**(14881/12) Simplify (((d**(-5/3)*d)/d)/((d*d/d**(-2))/d))**(-1/4)/(((d*d/(d/(d*d**(-4)*d)))/d*d*d**1*d*d)/(d*d*d*d*d**1)**(-15/8)) assuming d is positive. d**(-245/24) Simplify (i**(3/11)/i)**(-2/25)*i**45/i**(-4/15) assuming i is positive. i**(37393/825) Simplify ((d*d**(3/7)*d)/(d/(d*(d*d**(-12)*d)/d))*(d/d**28)/(d**(-32)/d))**(12/13) assuming d is positive. d**(-216/91) Simplify ((u*u**3)/(u**(2/7)*u)*(u**15*u)/(u**(1/36)/u))**(-33) assuming u is positive. u**(-54571/84) Simplify (u**37*u)/u*u/((u/u**(-21))/u)*u*(u**(-1))**14 assuming u is positive. u**4 Simplify (m**(-6)*m**(-2))**(-2/13)*((m**(-2))**(-1/58))**(19/2) assuming m is positive. m**(1175/754) Simplify ((((l**(1/4)*l*l)/(l/(l*(l*l**(-7))/l)*l*l))**(5/8))**(-5/12))**(-2/5) assuming l is positive. l**(-45/64) Simplify (y/y**(1/3)*y**(-7)/y*(y/y**(-5))/((y*y**(-1)/y)/y))/((y*y/(y**(5/4)/y)*y*y**(-6))/(y/(y/(y/(y/((y/(y**2/y))/y)))))**(1/48)) assuming y is positive. y**(187/48) Simplify w**(-8)*w*w/(w/w**7)*(w**(1/4))**41*((w**(-2))**19)**(26/9) assuming w is positive. w**(-3583/36) Simplify ((i**1)**(-22)*(i**(-2/5))**(-25))**(1/7) assuming i is positive. i**(-12/7) Simplify ((r**(2/11))**(-15/4))**(-20/9)/(r/r**(1/14)*r/(r**(4/5)/r)*r**(-2/27)/((r*r*r*r*r**(-6))/r)) assuming r is positive. r**(-73583/20790) Simplify (h*h/(h/h**(-2)*h)*h*h/(h*h**(1/8)/h*h))**(-15)/(h**(2/5)/h**1*(h**(-1/3)/h)**(-36)) assuming h is positive. h**(-1221/40) Simplify ((m**(-2/5))**12)**43*(m**(1/2)/m)/m**(-1/5)*m/m**0*(m/(m/m**(-2/9)))/m assuming m is positive. m**(-18623/90) Simplify ((((n/(n/(n*n*n**(-6/17)*n)))/n)**(-16))**(-3/26))**(-2/73) assuming n is positive. n**(-1344/16133) Simplify (f**0/f**(-6))/(f*f*f*f/f**7*f**(-1))*((f*f/f**(-2/23))/f)/f*f**1*(f*f**2)/(f/f**(3/8)) assuming f is positive. f**(2477/184) Simplify (((k*k**(-2/7))/k)/(k/(k**0*k))*k*(k*k/k**1)/k*((k*k/k**(-6))/k)/k)/(((k/(k*k**(-1/3)/k*k))/k)/(k/k**4*k*k)*(k*k**1)**16) assuming k is positive. k**(-538/21) Simplify ((c**(-1/2))**(-13)*(c*c**(2/5))**(25/2))/((c**1)**(43/4)*c**(-5)*c*c*c**(1/14)) assuming c is positive. c**(453/28) Simplify ((n/(n**(1/11)*n*n)*n*n*n**(-1/10)/n*n)/((n*n**2)/(n/n**7)))/(n*n*(n**5/n*n)/n*(n/(n**(2/5)*n))/n*n**(3/2)/n**(-1/4)) assuming n is positive. n**(-3199/220) Simplify (((z*z*z*z/z**(-37)*z)/z)/z**(2/73))/(z*z**(-15))**(-24) assuming z is positive. z**(-21537/73) Simplify (z/(z*z**1))**(-2/159)*z**(2/7)*z/z**(2/3)*z*((z**(-1))**17)**(-9/8) assuming z is positive. z**(184817/8904) Simplify ((z*z/z**(7/2)*z**7*z)/(z*(z*z*z*z**(4/13))/z*z*z**(-7/10)/z))**(5/8) assuming z is positive. z**(253/104) Simplify o*o**(-4)*(o/(o/o**1*o*o))/o*((o**(-1)/o)/o)/(o**(-4)/o)*((o/o**(1/2))**(-11/4))**(-3/19) assuming o is positive. o**(-423/152) Simplify ((z**(1/4))**13)**32*(z/z**2*z/(z/(z**1/z))*z)/(z**(-3/4)*z*z**4) assuming z is positive. z**(399/4) Simplify (((u*((u*u/(u/u**(-5)))/u)/u*u*u)/u)/((u*(u/u**0)/u)/u)*u**(-2)*u**2)/((u**(2/3))**36)**(-47) assuming u is positive. u**1124 Simplify ((n**(-1/3))**(-23))**30*(n**(-1))**(2/29)*(n*n/(n/(n*n**(1/4))))**(-26/7) assuming n is positive. n**(89959/406) Simplify ((((f*f/(f**(-1)/f*f))**2)**(-12/11))**(1/4))**(-14/5) assuming f is positive. f**(252/55) Simplify (((u*u**(-3/8)*u)/u**(-3/8))/(u**(-2)*u*((u*u/(u/u**(-2/7)*u))/u)/u))/((u*u/((u**(1/4)/u*u)/u))/(u**(-2/13)/u))**32 assuming u is positive. u**(-10887/91) Simplify ((l*(l*l**(1/18)*l)/l*l)/(l*l/l**(-8))*(l*l*l*l**(2/3))**(-37))/((l*l**(-1/5))**(1/23))**10 assuming l is positive. l**(-59185/414) Simplify (p**(-11)/(p*p**39*p*p))/(p**(6/13)*p*p**25*p) assuming p is positive. p**(-1046/13) Simplify (n/(n**2/n)*n**1*n*(n/(n*n**(-2/7)*n))**(-30))/((n*n**(-2/19)/n*n*n/(n*n**5))/((n/(n*n**(-1/6)))/n**(1/9))) assuming n is positive. n**(66049/2394) Simplify (r**(16/11)/r**4)/(r*r**(-16))**(-32) assuming r is positive. r**(-5308/11) Simplify (((d/(d**(-2/9)/d))/d)/d)**37/((d/d**(-3))/d**(-9))*(d/d**6*d)/(d/(d*d/d**(6/11)*d))*d/(d*d**(-2))*d**2*d assuming d is positive. d**(-230/99) Simplify ((d/(d/(d*(d**(3/5)*d)/d))*d)/d**(4/5))**(-3/7)/((d*(d*d*d/(d**7/d))/d)/d*d*d*d**7*d/(d/(d/(d*d**(5/2)*d)))*d**(-1/2)) assuming d is positive. d**(-62/35) Simplify (((a/(a**0*a))/a)**42/(a**(-2/3)*a**(-1)))/(a/(a/(a**(-1/5)/a))*a*a*a/(a*a**(4/5))*a/a**5*a*a**(-5)/a) assuming a is positive. a**(-94/3) Simplify (t/t**(2/3))**(-10/11)/(t**0)**(-2/7)*((t**(2/23)*t)/t*t**(-1/3))**(-41) assuming t is positive. t**(2479/253) Simplify ((((g*g/(g**13*g)*g)/(g*g**(-11)/g*g))**24)**9)**(-1/26) assuming g is positive. g**(108/13) Simplify (q**6)**50*q**(2/7)*q/q**4 assuming q is positive. q**(2081/7) Simplify ((x**(-1))**36/(x**(-1))**(-9))/((x/x**0)**(-2/35))**47 assuming x is positive. x**(-1481/35) Simplify (p/(((p*p**(2/9)/p)/p)/p)*((p*p**7)/p)/p)**(2/47)/(p**1/((p/(p*p/(p/(p/p**(-3/7)))*p*p))/p)*(p/(p**1/p))/(p**(-2/11)/p)) assuming p is positive. p**(-235712/32571) Simplify (i/i**(-5)*i*i*i*i*i/(i*i**(3/2))*i)/(i*i*i*i*i**2*i)**28*(i*i**(-2)/i*i*i)/i*i*i*i**3*i**0*i*i**(1/6)/i assuming i is positive. i**(-547/3) Simplify (f/f**(-3/11)*f*f**(-6/5)*f*f*f)**(-46)/(f/f**7*(f/(f/(f/(f*f*f/(f*f/(f*f/f**(5/2)*f))*f))))/f*(f**(-2/7)*f)/(f/f**(-1))) assuming f is positive. f**(-136721/770) Simplify (y/y**(-7/8)*y**6*((y**23*y)/y)/(y**(2/47)*y*y*y))**(-2/21) assuming y is positive. y**(-1495/564) Simplify (((v*v**(2/3)/v)/v)/(v/(v**(-15)/v)))**(40/9)/((v**(-3/2)*v*v**(4/7))/(v**(1/2)*v)**(-2/35)) assuming v is positive. v**(-145897/1890) Simplify (((h/h**(-3)*h)/h*h/(h/h**(-3/2)))/((h/(h/(h*h**20)))/(h/(h/((h**(-3)/h)/h)))))**(-2/55) assuming h is positive. h**(47/55) Simplify ((c**(2/3)*c**(2/23))/((c*c**(-1/2))/c)**24)/((c/c**(-6/7))/(c/((c**(1/5)/c)/c)))**(15/8) assuming c is positive. c**(56111/3864) Simplify (j**(-1/7)*j**7/j*j**(1/7)*j**1*j*j)/((j*j**(-2/5)*j)**(-42)/(j*j**(4/5)*j*j*j*j*j*j*j/((j**(3/5)/j)/j)*j*j)) assuming j is positive. j**(442/5) Simplify (q*q/q**(-7))/q**(2/7)*q**(-1)/q**(4/5)*(q*q**(-1/3)/q)**(-30)/((q/q**(-1))/(q/q**(1/2))) assuming q is positive. q**(1079/70) Simplify ((t**4)**(-12/7)*t**20/t**(-27))**(24/5) assuming t is positive. t**(6744/35) Simplify ((h/h**2)/((h/(h**(-4)*h)*h)/h))**(4/5)*h*h**1*h**2*((h/h**(-5))/h)/h**(-3) assuming h is positive. h**8 Simplify ((q**(4/9)*q**(-4)*q)/((((q/(q/(q/(q*q**5*q))))/q)/q)/q**(2/15)))/((q*q**(2/3)*q**3)/(q**(-2/5)*q*q**(-2/11))) assuming q is positive. q**(658/495) Simplify ((g**(-3)*g*g**(-4/3)*g*(g*g**(1/5))/g*g*((g*g**(-1))/g)/g)**(1/8))**5 assuming g is positive. g**(-47/24) Simplify ((o**(-7/2)/o*o**(2/7)*o)/(o/(o*o**(-1/4)/o*o)*o*o**(-1/6)))/(o/(o*o/o**(5/3))*o**(1/3))**(12/11) assuming o is positive. o**(-4979/924) Simplify ((n**16)**(-19/4)*n*n*n**(-2/11)*n*n**(-5/3))**(-1/21) assuming n is positive. n**(2470/693) Simplify (n**27*n*(n/(n*n**(1/10)*n))/n)/(n**(-38/7))**(3/49) assuming n is positive. n**(89977/3430) Simplify ((t*t/(t/(t*t*t**30))*t*t/t**(-1))**37)**46 assuming t is positive. t**61272 Simplify (((k*(k*k*k*k/(k*k**(1/4)*k)*k)/k*k*k)/k)**28)**(2/17)/(((((k*k/(k*k*k/(k**1*k))*k)/k)/k)/k)**(-8)*k**(-1/10)/(k*k**(2/11))) assuming k is positive. k**(10537/1870) Simplify ((l**1/(l*l**(-2/23)/l*l))/(((l/l**(-2/51))/l)/l**1))**(-11) assuming l is positive. l**(-13519/1173) Simplify (((n**(-5)/n)/n**(-7))/(n*n**(-3)*n*n**(-2)/n))/((n**(2/3))**(2/29)*(n/(n*n**(-2/19)))/(n*n**2)) assuming n is positive. n**(12974/1653) Simplify ((k**(2/5)/k)**(3/8)/(k**(2/5))**(5/14))/((k**(1/4)/k)/k**5*(k*k*k/k**(-2/9))/k**(-5)) assuming k is positive. k**(-7157/2520) Simplify (((j**(-2/45)/j**(-13))**47)**24)**(2/3) assuming j is positive. j**(438416/45) Simplify p**6*p**(2/7)*(p*p**1)**(-3/7)*(p**0)**(-41)*p*p*(p/(p*p**5))/p*p*p**(-2/13) assuming p is positive. p**(207/91) Simplify y**0*y/(y*y/(y**(-18)*y*y))*(y/(y/y**16))**(-23) assuming y is positive. y**(-385) Simplify ((j**(-2/15))**(-3/17)*(j**(1/4))**(13/2))**(-31) assuming
{ "pile_set_name": "DM Mathematics" }
1 in descending order. 41, 1.2, 0.1, -0.4, -1, -8.7 Put -5, -90212, -2/3, 0.04, -3 in decreasing order. 0.04, -2/3, -3, -5, -90212 Put -0.04, -5, 1494, 3 in descending order. 1494, 3, -0.04, -5 Sort -16, 5, 680 in decreasing order. 680, 5, -16 Put 1302, 0, 1, 4, 7 in ascending order. 0, 1, 4, 7, 1302 Put 14, -87, -0.1, 0.22 in decreasing order. 14, 0.22, -0.1, -87 Sort -3, -1, 1, 158, 273 in increasing order. -3, -1, 1, 158, 273 Sort -12, 128, -3, 5, -6, -7. -12, -7, -6, -3, 5, 128 Sort -3, 65, -945 in descending order. 65, -3, -945 Sort -2, 5, 330, 3 in ascending order. -2, 3, 5, 330 Put -792, 18, -1, 3, 4 in descending order. 18, 4, 3, -1, -792 Sort -93, 113, -5, 2, 1. -93, -5, 1, 2, 113 Put 2/5, -2, -1587, 5, 0.5 in increasing order. -1587, -2, 2/5, 0.5, 5 Put 2, -1, 1, 5, 268, -3 in decreasing order. 268, 5, 2, 1, -1, -3 Sort -0.3, -2, 0.4, -8, 36, -13. -13, -8, -2, -0.3, 0.4, 36 Sort -572, 1, 6 in ascending order. -572, 1, 6 Sort -0.1, -0.3, 2552/9, 5 in decreasing order. 2552/9, 5, -0.1, -0.3 Sort 2/9, 1/78, 1, -150 in decreasing order. 1, 2/9, 1/78, -150 Put 1/6, -1661, 833 in descending order. 833, 1/6, -1661 Sort -4, -35, 3, 2/9, 0.13 in ascending order. -35, -4, 0.13, 2/9, 3 Sort 0, -1.1, 3344, 0.5. -1.1, 0, 0.5, 3344 Sort 5, -964, 232 in descending order. 232, 5, -964 Sort 0, 3, -0.1, -3405 in increasing order. -3405, -0.1, 0, 3 Sort -15, -2, -4, -16, -17, 136 in increasing order. -17, -16, -15, -4, -2, 136 Put -18111, -16, -4 in ascending order. -18111, -16, -4 Sort 7, -3/85, -20, -1 in descending order. 7, -3/85, -1, -20 Sort -2, -0.72, -101, -2/5, -30 in descending order. -2/5, -0.72, -2, -30, -101 Sort -65, -1, 0.8, -13 in decreasing order. 0.8, -1, -13, -65 Sort 4/35, 0.32, 17, -5, -0.5 in ascending order. -5, -0.5, 4/35, 0.32, 17 Sort 0.12, -0.4, -6849 in descending order. 0.12, -0.4, -6849 Sort 2, -5, 1, 4566 in increasing order. -5, 1, 2, 4566 Put 0, -3, -11543 in increasing order. -11543, -3, 0 Put -24, 1, -12, 0.4, -1, 0 in decreasing order. 1, 0.4, 0, -1, -12, -24 Put 0, 8, -18343 in decreasing order. 8, 0, -18343 Sort -5, -1, -10760. -10760, -5, -1 Put 0.1521, 2/97, 0.2 in descending order. 0.2, 0.1521, 2/97 Sort 0.4, -4, -1, -42, -8 in descending order. 0.4, -1, -4, -8, -42 Put -0.3, 1/4, -6/12641, 0.1 in descending order. 1/4, 0.1, -6/12641, -0.3 Sort 0.05, -24, -3, 2/3 in ascending order. -24, -3, 0.05, 2/3 Sort -4, -2, -1.13, -338, 0.5. -338, -4, -2, -1.13, 0.5 Sort 4/431, -4/3, -42. -42, -4/3, 4/431 Sort 1, 5, 0.2, -1/1600. -1/1600, 0.2, 1, 5 Put 1, -3, -11, -341, -4 in descending order. 1, -3, -4, -11, -341 Sort -171, 2.9, 1. -171, 1, 2.9 Sort 28, -101, -32. -101, -32, 28 Put -4, -2/9, 36, -17, 0, 0.5 in decreasing order. 36, 0.5, 0, -2/9, -4, -17 Put -3, 0.101, 43, 0.5 in descending order. 43, 0.5, 0.101, -3 Sort -1, 0, 79, 5, -8. -8, -1, 0, 5, 79 Sort -15, 556, 1, 0 in increasing order. -15, 0, 1, 556 Put -1, -79, 2, 4, 0, -4 in ascending order. -79, -4, -1, 0, 2, 4 Sort 3, 4, 430, -2 in increasing order. -2, 3, 4, 430 Sort -21, -4, 3/7, -0.5, 3, 43/4 in descending order. 43/4, 3, 3/7, -0.5, -4, -21 Sort 2/3, -0.0342, 126 in descending order. 126, 2/3, -0.0342 Sort -4, 3206, -6, 1.4 in decreasing order. 3206, 1.4, -4, -6 Sort 27, -4, -3, -26, 5 in increasing order. -26, -4, -3, 5, 27 Put 3, 1.3, -2, -1.8 in increasing order. -2, -1.8, 1.3, 3 Sort 5, -7222, -5 in decreasing order. 5, -5, -7222 Sort 27, -155, 3, 2. -155, 2, 3, 27 Sort -7, 4, -502, -1, -17, 0. -502, -17, -7, -1, 0, 4 Sort -5, 3, -2, 8, -282 in decreasing order. 8, 3, -2, -5, -282 Sort 6, 82, -2, 9, -1, 1 in decreasing order. 82, 9, 6, 1, -1, -2 Sort 5, -3, 314, 0, 3, -14. -14, -3, 0, 3, 5, 314 Put 320, 37, -8 in descending order. 320, 37, -8 Sort -154, 7708, 4 in ascending order. -154, 4, 7708 Sort 3, 1, 0.469, -0.25 in decreasing order. 3, 1, 0.469, -0.25 Sort -7/3, -1, 1.9, 0.14 in descending order. 1.9, 0.14, -1, -7/3 Sort 4, 3/4, 37, 0.4, 14 in increasing order. 0.4, 3/4, 4, 14, 37 Put 0.8, -0.213, 0 in decreasing order. 0.8, 0, -0.213 Sort 1, -117217, -4 in decreasing order. 1, -4, -117217 Sort -256, 2, 17, 0.2 in ascending order. -256, 0.2, 2, 17 Sort -0.2, 8, 0.8, -13, -1/2, -2/5 in decreasing order. 8, 0.8, -0.2, -2/5, -1/2, -13 Sort -0.1, 7, 1064, 1 in descending order. 1064, 7, 1, -0.1 Sort 5, -2, -4, 2, 4 in descending order. 5, 4, 2, -2, -4 Sort 1, -1/7, -24, -0.0785 in decreasing order. 1, -0.0785, -1/7, -24 Put 9, 5, 4, -5, 2, -1 in ascending order. -5, -1, 2, 4, 5, 9 Put 5, 4, 97, -1, -18 in descending order. 97, 5, 4, -1, -18 Sort -759, 4, 3, -3, 64. -759, -3, 3, 4, 64 Put 5, 0.1, -3, -37, 7, -4 in increasing order. -37, -4, -3, 0.1, 5, 7 Sort -1099, 2, 1 in decreasing order. 2, 1, -1099 Sort 4, -39.5, -2/1161 in decreasing order. 4, -2/1161, -39.5 Put -2.7, -17, 19 in descending order. 19, -2.7, -17 Sort 5, 0.23869, -0.39. -0.39, 0.23869, 5 Sort -333, -3, 9, -5 in ascending order. -333, -5, -3, 9 Put -3392, -4, 85, -1 in decreasing order. 85, -1, -4, -3392 Put 3, 1/11, 4, 21/4, -17 in increasing order. -17, 1/11, 3, 4, 21/4 Put 3, 1, -2, 14, -34 in descending order. 14, 3, 1, -2, -34 Put 0.7, -5/3, 17, -19 in ascending order. -19, -5/3, 0.7, 17 Sort 2.56, -360/17, 3 in ascending order. -360/17, 2.56, 3 Put -46, -2, 0, -3, 14 in descending order. 14, 0, -2, -3, -46 Sort -4, -24, -1, -3, -63, 5. -63, -24, -4, -3, -1, 5 Sort 6, -2/3, 1/3, 821. -2/3, 1/3, 6, 821 Put -128, 6224, -3 in ascending order. -128, -3, 6224 Sort -22, 637, 4 in descending order. 637, 4, -22 Sort 5/39, -81, 3, 4/9, 0.1 in descending order. 3, 4/9, 5/39, 0.1, -81 Sort -1, 5, 18, -238. -238, -1, 5, 18 Sort 1, 6, 162, 4 in ascending order. 1, 4, 6, 162 Sort 0.03, -6, -42/5 in increasing order. -42/5, -6, 0.03 Sort 2, -11, 0, -383 in descending order. 2, 0, -11, -383 Put -0.2, -2, 0.072, 2.9, 0.2 in descending order. 2.9, 0.2, 0.072, -0.2, -2 Put -6.79, 67, 0.04 in ascending order. -6.79, 0.04, 67 Put 5, -1, -15, -3, 3 in decreasing order. 5, 3, -1, -3, -15 Sort 714, -0.2, 59. -0.2, 59, 714 Sort 0.8, 72/5, -6, -4 in descending order. 72/5, 0.8, -4, -6 Sort 0.01, -1256.2, -3, 2, -1/10. -1256.2, -3, -1/10, 0.01, 2 Put -0.3, 4748, -1.2 in decreasing order. 4748, -0.3, -1.2 Sort -33, 10, -40 in increasing order. -40, -33, 10 Sort 3, -30829, -0.5. -30829, -0.5, 3 Sort -13, -163, -4 in descending order. -4, -13, -163 Put 4/5, 0.3, -0.3, -1/12, -44 in decreasing order. 4/5, 0.3, -1/12, -0.3, -44 Sort -2/19, -3/8, -0.3, -5, 1/2078 in descending order. 1/2078, -2/19, -0.3, -3/8, -5 Sort 7, 3, 396. 3, 7, 396 Put 1/5, 3, 553 in ascending order. 1/5, 3, 553 Sort -2, 0.01, -4649 in decreasing order. 0.01, -2, -4649 Put 7, 3, -450 in descending order. 7, 3, -450 Put -3, 4, 29849 in descending order. 29849, 4, -3 Put -4, -2, 2, 477, -3 in descending order. 477, 2, -2, -3, -4 Sort 1, 21, -183, -7 in decreasing order. 21, 1, -7, -183 Sort -145219, -5, 5. -145219, -5, 5 Sort -4, 5, 4, 1234 in ascending order. -4, 4, 5, 1234 Put -15, -125, 5, 3 in increasing order. -125, -15, 3, 5 Put 46776, -1/20, -0.2 in descending order. 46776, -1/20, -0.2 Sort 19, 5, -3, 36, 0 in descending order. 36, 19, 5, 0, -3 Sort -10, -2, -11/6, 2/13 in increasing order. -10, -2, -11/6, 2/13 Put -0.011, 3.3, 2 in descending order. 3.3, 2, -0.011 Put 1/8, -3/4, 0.2, -7, 3/4, -8/7 in decreasing order. 3/4, 0.2, 1/8, -3/4, -8/7, -7 Sort 0, -1/3, -15218, -0.1 in descending order. 0, -0.1, -1/3, -15218 Sort -7, -73, -12. -73, -12, -7 Put 22, -3, 2, 126, 1/2 in ascending order. -3, 1/2, 2, 22, 126 Sort 2/13, 50, 2/3, 485 in descending order. 485, 50, 2/3, 2/13 Put 5, 160, 18, -14 in decreasing order. 160, 18, 5, -14 Put 3, 5, -3, -4, -44, -39 in ascending order. -44, -39, -4, -3, 3, 5 Sort -19, -134, -14 in descending order. -14, -19, -134 Sort -0.1, 1, -4, -10/9, -66 in decreasing order. 1, -0.1, -10/9, -4, -66 Sort 4, -13, -7, 2, -14, 0 in ascending order. -14, -13, -7, 0, 2, 4 Sort 9, 2, 104, 1 in descending order. 104, 9, 2, 1 Sort -44143, -2, 4/3 in descending order. 4/3, -2, -44143 Sort -1.7, -0.4, 1195, 3, -0.2 in descending order. 1195, 3, -0.2, -0.4, -1.7 Put 2838, 0, 3, -36 in decreasing order. 2838, 3, 0, -36 Sort 44, 4792, 4 in ascending order. 4, 44, 4792 Put -114, 1, -1, -4, 5 in ascending order.
{ "pile_set_name": "DM Mathematics" }
*v**2 + 33*v + 10. Let u be i(11). What is the greatest common divisor of 490 and u? 10 Suppose 3*s - 116 = -77. What is the highest common divisor of 13 and s? 13 Suppose 458 = 2*o - 2*l, -12*o + 4*l - 209 = -13*o. What is the greatest common factor of 180 and o? 45 Suppose 5*s - 620 = -3*h, 2*h + s = -2*h + 804. Let f(t) = -t**2 + 60*t - 514. Let z be f(49). What is the greatest common divisor of z and h? 25 Suppose -3*c + 0 + 3 = -b, c + b = 5. Suppose -i + 30 = o + 2*o, -i + 19 = c*o. Let j = 63 - -25. What is the greatest common divisor of j and o? 11 Suppose -2*m - 1056 = -3*p + 3*m, -p = -3*m - 352. Calculate the greatest common divisor of p and 8. 8 Let n be (-137 - -65)*2/(-6). What is the greatest common divisor of 84 and n? 12 Suppose -40 = -2*b + 26. Let s be -3*8/(-6) + 7. Let n(k) = -k**3 + 10*k**2 + 11*k + 11. Let d be n(s). Calculate the highest common factor of d and b. 11 Let l = -11 + 15. Suppose -5*y = -l*r + 61, -29 = 5*y - 2*r + 34. Let z = y - -14. Calculate the greatest common factor of z and 7. 1 Let p be 21/35 + 10/25. Let q be (-10)/(-15)*(-14 - 1). Let y(c) = -c**2 - 10*c + 1. Let z be y(q). Calculate the highest common divisor of z and p. 1 Let x(j) = -68*j + 4. Let v be x(-3). Suppose 10514*b + 260 = 10524*b. Calculate the greatest common factor of b and v. 26 Suppose 0 = -6*q - 50 + 182. Calculate the highest common divisor of 110 and q. 22 Let o = 0 - 7. Let k(t) = 2*t**2 + 7*t + 17. Let h be k(o). Suppose 0*v + 176 = 4*v. Calculate the greatest common divisor of h and v. 22 Suppose 3*r = 2*r + 4*c + 312, -330 = -r - 2*c. Suppose -r = -n - n. What is the greatest common factor of 18 and n? 18 Suppose -4*l - 5*t = -1521 - 2282, -l + 954 = -2*t. Calculate the greatest common factor of l and 68. 68 Let g be -7*(-2 + 414/(-63)). Calculate the greatest common divisor of 8 and g. 4 Let g be 6/(3/(-3)) + -2. Suppose -2*b - 3*r + 6*r - 52 = 0, 0 = b - 3*r + 29. Let f = g - b. Calculate the greatest common divisor of 120 and f. 15 Let j be ((-18)/36)/(1/(-6)). Suppose 2*d + j*x - 147 = -d, 2*x + 110 = 2*d. Calculate the highest common factor of d and 26. 26 Suppose 5*z - 3*a - 566 = 0, -5*a + 6*a = 3. Suppose 0 = -5*c + 4*t + 115 - 35, -5*c - 3*t = -z. Calculate the greatest common factor of c and 12. 4 Let j = -258 - -285. Calculate the highest common divisor of 135 and j. 27 Let n = -18 + 23. Suppose -n*c + 10 - 90 = 3*p, 0 = -c + 2. Let a be ((-12)/10)/(9/p). Calculate the greatest common divisor of a and 32. 4 Let k = 2741 + -1285. Calculate the highest common factor of 91 and k. 91 Let p be (-2 + 9/12)/((-3)/24). Let x be (4 - 36/p) + (-133)/(-5). Calculate the highest common divisor of x and 189. 27 Let r be ((-227)/(-2) - 5)*2. What is the highest common factor of 21 and r? 7 Suppose 3*y - 5*h + 0*h = -3, 0 = -2*y + 2*h + 2. What is the greatest common divisor of y and 44? 4 Let z be (-1 + -494)*6/(-15). Let t be (51 + -18)/(3/2). What is the greatest common divisor of t and z? 22 Let f = 723 + -579. Calculate the greatest common factor of 9 and f. 9 Suppose -4*s - o = -13, -o - 3 - 2 = -2*s. Suppose -154 = -4*i - 6. Suppose s*w = 205 - i. Calculate the greatest common factor of 7 and w. 7 Suppose -12*m = 7*m - 475. Let y be (4/6)/((-3)/(-900)). Calculate the highest common divisor of y and m. 25 Let d = 19 - 9. Let t be 7/((-7)/(-4)) + d. Let h be 0 + 3 + -2 - -153. Calculate the greatest common divisor of t and h. 14 Let x = 244 - 218. What is the highest common factor of 65 and x? 13 Let b(n) = 7*n + 7. Let p(k) = -10*k - 10. Let i(o) = 7*b(o) + 5*p(o). Let v be i(-6). Calculate the greatest common factor of 35 and v. 5 Let c = -422 + 518. Suppose 5*u - 99 = 21. Calculate the highest common factor of u and c. 24 Suppose 5*g - 5766 = -c + 3105, 2*g + 5*c - 3530 = 0. Calculate the highest common factor of 71 and g. 71 Let q = 27 + -23. Suppose 0 = -o - q*l + 34 - 2, -o + l = -7. Let r = -9 + 15. Calculate the highest common divisor of o and r. 6 Let k be (4/(20/3))/((-2)/(-40)). Let f = 31 - 13. Calculate the greatest common factor of k and f. 6 Suppose 45*n = 48*n - 816. Calculate the highest common factor of 51 and n. 17 Suppose -5*c = 5*v, 3*v + 3*c - 1 = -v. Let g be v/(-2 - (-3)/3). Let o be 3*-1 - 45/g. Calculate the highest common divisor of 14 and o. 14 Suppose 5*i + 91 = -5*s + 311, 196 = 5*i - s. Suppose 0 = 4*z - 5*o - 36, -4*z - 4*o + 3*o + 12 = 0. Calculate the greatest common factor of z and i. 4 Let x = -30 + 39. Let i(p) = -15 - x + 21 + 35*p. Let r be i(1). Calculate the highest common divisor of r and 16. 16 Let s = 42 + -43. Let n(p) = 6*p + 7. Let x be n(s). Calculate the greatest common factor of x and 9. 1 Let u = 32 + -38. Let h = u + 32. Calculate the highest common divisor of h and 39. 13 Suppose 0 = 2*b - 73 - 7. Let m(d) = 2*d**2 + 34*d - 164. Let t be m(-21). What is the greatest common divisor of t and b? 4 Suppose -90 = -9*f + 4*f. Suppose -2*i - 10 = -7*i. Suppose w - j - 42 = 151, i*j = 5*w - 980. Calculate the greatest common factor of f and w. 18 Let m be (9 - (1 + -5)) + -2. Suppose u - m = 3*z, -5*z + 3*z - 54 = -3*u. Calculate the greatest common divisor of 25 and u. 5 Let j be ((-880)/(-140))/(2/(3 + 11)). What is the highest common factor of 1144 and j? 44 Let m = 1886 + -1374. What is the greatest common divisor of 80 and m? 16 Suppose -p - 5 = -0*p. Let r(f) = -4*f - 9. Let c be r(p). Let s(o) = -26*o - 1. Let v be s(-3). Calculate the greatest common factor of c and v. 11 Let s(w) = -w**3 - 4*w**2 + w. Let n be s(-4). Let y be (n/10)/(9/(-270)). Suppose 0*k + y = k. Calculate the highest common divisor of k and 48. 12 Let p be 54/189 - (2/7 - 0). Let w be (p + (-4)/2)/((-6)/510). Calculate the greatest common factor of w and 17. 17 Suppose -4 = z - 14. Suppose -4*d - 3*k = 56, k = d - 0*k + 7. Let x = 61 + d. What is the greatest common factor of x and z? 10 Let w(h) = h**2 + 4*h - 1. Suppose 2*d + 2*d = -8. Let u be w(d). Let k be -7 - u - -1*4. Calculate the greatest common factor of 5 and k. 1 Let y(x) = -2*x + 34. Let g be y(16). Suppose -v = c - 12 - 20, 0 = -g*v - 4*c + 62. Calculate the greatest common divisor of v and 11. 11 Let g(v) = 4*v - 22. Let j be g(17). Let q = j - 43. What is the greatest common divisor of q and 24? 3 Let b(l) = 100*l**2 + 13*l + 52. Let v be b(-3). Calculate the highest common divisor of v and 22. 11 Let c be 20/6 - (-4)/6. Let o be ((-2)/6)/(1/(-6)). Suppose -3*i - 6*p = -3*p - 21, o*i - c*p - 2 = 0. What is the greatest common divisor of 2 and i? 1 Let s = -1625 - -1633. What is the highest common factor of s and 13? 1 Let o be (16/2)/2 + 0. Suppose 12 - 70 = -o*r + 3*g, 3*g - 70 = -4*r. What is the greatest common factor of 64 and r? 16 Suppose 51*o - 47*o - 204 = 0. What is the highest common divisor of 17 and o? 17 Let o(x) = 192*x**3 - x**2 + x. Let w be o(1). Let p = 269 - w. Suppose 0*m = 2*m - 14. Calculate the greatest common factor of m and p. 7 Let p be (-1)/2 - 121/(-22). Suppose -3*c + p*c - 2*w = 56, 0 = -5*c + w + 124. Calculate the highest common divisor of 48 and c. 24 Let y be (424/12)/((-2)/(-12)). Suppose -v + 4*r - 38 = 0, -4*r + y = -3*v - v. Let n = v + 83. What is the greatest common factor of 5 and n? 5 Let p be (0 - -1) + (-23)/(-23) - -241. Calculate the highest common divisor of 9 and p. 9 Suppose -g - 9 = -2*u - 0*g, u - 2*g - 12 = 0. Suppose -3*c + 3*a + 3 = 0, -4*c - u*a + 14 = -8. Let i = 13 - c. What is the highest common factor of i and 36? 9 Let y(i) be the second derivative of 5*i**3/6 + 29*i**2/2 - 2*i. Let u be y(-4). Let s = 164 + -83. What is the greatest common factor of u and s? 9 Let f = -302 + 341. Calculate the highest common factor of 6 and f. 3 Suppose 0 = -11*j + 2*j + 108. What is the greatest common factor of j and 4? 4 Let a = -305 - -479. Calculate the greatest common divisor of a and 116. 58 Suppose 3*x + x - 24 = 0. Let r = x + -4. Calculate the greatest common divisor of 3 and r. 1 Suppose -5*z + 411 - 1 = 0. Let w be ((-4)/1 - -2) + z. Let x(c) = c**2 - 4. Let t be x(6). What is the highest common divisor of t and w? 16 Let b = 187 + -112. Let n = -101 + 501. Suppose t - n = -7*t. What is the highest common divisor of b and t? 25 Let c = 387 - -10. Suppose -c = -7*v + 3*v + 5*
{ "pile_set_name": "DM Mathematics" }
digit of 266461511? 2 What is the millions digit of 99912834? 9 What is the ten thousands digit of 2264493400? 9 What is the thousands digit of 4156155777? 5 What is the tens digit of 596078721? 2 What is the ten thousands digit of 69933877? 3 What is the millions digit of 6218116? 6 What is the ten thousands digit of 11638374? 3 What is the hundred millions digit of 174000568? 1 What is the tens digit of 179653978? 7 What is the hundred thousands digit of 1175062408? 0 What is the ten millions digit of 42579090? 4 What is the thousands digit of 390477747? 7 What is the hundred thousands digit of 1222625975? 6 What is the ten thousands digit of 183230467? 3 What is the tens digit of 359537? 3 What is the units digit of 98910386? 6 What is the units digit of 580614525? 5 What is the hundred millions digit of 1327584949? 3 What is the millions digit of 103368272? 3 What is the tens digit of 464145818? 1 What is the tens digit of 20535596? 9 What is the hundreds digit of 64520353? 3 What is the ten millions digit of 447943432? 4 What is the hundred millions digit of 495228044? 4 What is the millions digit of 510312964? 0 What is the units digit of 33702788? 8 What is the hundred thousands digit of 696180869? 1 What is the ten thousands digit of 1480831791? 3 What is the hundreds digit of 2064437338? 3 What is the units digit of 209308996? 6 What is the hundreds digit of 56682247? 2 What is the thousands digit of 3285734956? 4 What is the ten millions digit of 106477037? 0 What is the units digit of 3809368? 8 What is the millions digit of 964369622? 4 What is the hundreds digit of 155768660? 6 What is the ten thousands digit of 350913210? 1 What is the millions digit of 3934371878? 4 What is the hundreds digit of 238912200? 2 What is the billions digit of 1535778514? 1 What is the tens digit of 98679725? 2 What is the hundreds digit of 22941264? 2 What is the ten thousands digit of 20640004? 4 What is the millions digit of 4272595425? 2 What is the tens digit of 117409990? 9 What is the units digit of 923151425? 5 What is the hundreds digit of 287573418? 4 What is the ten thousands digit of 135044675? 4 What is the tens digit of 2289543727? 2 What is the thousands digit of 609297826? 7 What is the units digit of 4677961029? 9 What is the hundred millions digit of 3865764626? 8 What is the tens digit of 37596063? 6 What is the thousands digit of 73659918? 9 What is the billions digit of 4875999476? 4 What is the units digit of 11523157? 7 What is the tens digit of 152118132? 3 What is the ten millions digit of 249113542? 4 What is the millions digit of 371082484? 1 What is the hundred millions digit of 111015271? 1 What is the thousands digit of 4135012? 5 What is the hundred thousands digit of 27172016? 1 What is the hundred thousands digit of 130295400? 2 What is the hundred millions digit of 1293767857? 2 What is the thousands digit of 25834667? 4 What is the ten thousands digit of 189032034? 3 What is the ten millions digit of 178945406? 7 What is the ten thousands digit of 19087717? 8 What is the ten thousands digit of 171146244? 4 What is the units digit of 3196138070? 0 What is the ten millions digit of 73959225? 7 What is the thousands digit of 9573450? 3 What is the ten millions digit of 44645371? 4 What is the units digit of 4268131665? 5 What is the ten thousands digit of 102231708? 3 What is the hundred millions digit of 460415656? 4 What is the units digit of 60692795? 5 What is the hundreds digit of 847080129? 1 What is the millions digit of 29861073? 9 What is the hundred thousands digit of 63789960? 7 What is the ten millions digit of 37509005? 3 What is the hundred millions digit of 470201310? 4 What is the billions digit of 1541242742? 1 What is the hundred thousands digit of 581825484? 8 What is the hundreds digit of 386814826? 8 What is the units digit of 450045816? 6 What is the tens digit of 7308136? 3 What is the units digit of 112824493? 3 What is the hundred thousands digit of 46247861? 2 What is the tens digit of 198365390? 9 What is the units digit of 687540812? 2 What is the millions digit of 173525289? 3 What is the hundred thousands digit of 260734312? 7 What is the ten millions digit of 3196749637? 9 What is the hundred thousands digit of 142021236? 0 What is the millions digit of 447234414? 7 What is the units digit of 28417211? 1 What is the ten millions digit of 263239660? 6 What is the ten millions digit of 83193794? 8 What is the hundreds digit of 506209967? 9 What is the millions digit of 15407395? 5 What is the units digit of 1108356613? 3 What is the hundred millions digit of 110755120? 1 What is the hundred thousands digit of 43309107? 3 What is the units digit of 1113479559? 9 What is the hundreds digit of 1429586809? 8 What is the units digit of 154365089? 9 What is the ten millions digit of 7757599202? 5 What is the hundred millions digit of 321970853? 3 What is the hundred thousands digit of 1072308? 0 What is the thousands digit of 1588233309? 3 What is the hundred thousands digit of 2334990529? 9 What is the hundred thousands digit of 1090963903? 9 What is the ten millions digit of 256573087? 5 What is the units digit of 197859292? 2 What is the millions digit of 770243864? 0 What is the ten millions digit of 2486346133? 8 What is the hundreds digit of 148182397? 3 What is the ten thousands digit of 9713869? 1 What is the units digit of 2112088594? 4 What is the hundred millions digit of 137624722? 1 What is the units digit of 12784793? 3 What is the millions digit of 68730376? 8 What is the thousands digit of 292931762? 1 What is the tens digit of 14693145? 4 What is the tens digit of 1694543369? 6 What is the ten thousands digit of 249269815? 6 What is the thousands digit of 483108213? 8 What is the hundreds digit of 849075694? 6 What is the millions digit of 1967191106? 7 What is the hundreds digit of 815993154? 1 What is the tens digit of 3784125063? 6 What is the thousands digit of 1311327820? 7 What is the ten thousands digit of 26872310? 7 What is the ten millions digit of 152411689? 5 What is the hundred thousands digit of 137306121? 3 What is the billions digit of 2010479980? 2 What is the thousands digit of 1448094019? 4 What is the thousands digit of 434971887? 1 What is the hundreds digit of 988478370? 3 What is the units digit of 951330235? 5 What is the millions digit of 373865412? 3 What is the thousands digit of 59105026? 5 What is the thousands digit of 1519063062? 3 What is the thousands digit of 557869061? 9 What is the hundred millions digit of 208911490? 2 What is the hundred millions digit of 206786301? 2 What is the tens digit of 1365191629? 2 What is the ten millions digit of 8690903264? 9 What is the billions digit of 2120676864? 2 What is the tens digit of 2703673507? 0 What is the ten millions digit of 602280351? 0 What is the hundred thousands digit of 353904281? 9 What is the units digit of 2259979259? 9 What is the ten millions digit of 1952465350? 5 What is the units digit of 154115173? 3 What is the ten thousands digit of 446507045? 0 What is the billions digit of 1054993465? 1 What is the hundred millions digit of 1463441969? 4 What is the units digit of 354506081? 1 What is the units digit of 798142209? 9 What is the units digit of 181487965? 5 What is the hundred millions digit of 819602576? 8 What is the thousands digit of 210284431? 4 What is the hundreds digit of 2810987796? 7 What is the ten thousands digit of 97560565? 6 What is the hundred millions digit of 1328194330? 3 What is the ten thousands digit of 331688704? 8 What is the ten millions digit of 15130619? 1 What is the hundred thousands digit of 21249710? 2 What is the ten thousands digit of 603316616? 1 What is the ten millions digit of 21543237? 2 What is the hundred millions digit of 824720282? 8 What is the tens digit of 781348712? 1 What is the units digit of 41037219? 9 What is the thousands digit of 2619483? 9 What is the ten thousands digit of 102856856? 5 What is the hundred millions digit of 1053320631? 0 What is the hundreds digit of 451191959? 9 What is the tens digit of 1015542518? 1 What is the hundreds digit of 132972664? 6 What is the ten thousands digit of 3227653317? 5 What is the h
{ "pile_set_name": "DM Mathematics" }
-2, 5.5, -3, -1 in descending order. 5.5, -1, -2, -3 Put 142, 0, 5, -3, 2 in increasing order. -3, 0, 2, 5, 142 Put -9, 58, -132 in descending order. 58, -9, -132 Put 3, 38, -1, -8, 8, 2 in decreasing order. 38, 8, 3, 2, -1, -8 Put -4846, 5, -6 in decreasing order. 5, -6, -4846 Put 3/5, -5, 2605/2, 1, 0.2 in decreasing order. 2605/2, 1, 3/5, 0.2, -5 Put 4, -3, 40, -8, -41 in descending order. 40, 4, -3, -8, -41 Sort 0, 1, -3, -14/73. -3, -14/73, 0, 1 Sort 0.01, 3, 3.4, 2/3, -0.24 in descending order. 3.4, 3, 2/3, 0.01, -0.24 Put 5, 28, 2, -3, 23 in decreasing order. 28, 23, 5, 2, -3 Put 4, -4, -209.2, -2.6, 0, 3 in descending order. 4, 3, 0, -2.6, -4, -209.2 Sort -2, -5, 1/3, 2.3 in decreasing order. 2.3, 1/3, -2, -5 Put -2/13, 7/3, -111, -4, -0.3 in descending order. 7/3, -2/13, -0.3, -4, -111 Sort 0.09, 0.4, 2, 68/55 in decreasing order. 2, 68/55, 0.4, 0.09 Put -3, 2, -475, -7 in decreasing order. 2, -3, -7, -475 Sort -128, 4, -5, 1, -2 in decreasing order. 4, 1, -2, -5, -128 Sort 4, 5, -1, 242, 3 in decreasing order. 242, 5, 4, 3, -1 Put -2, 28/109, -4, -0.29 in descending order. 28/109, -0.29, -2, -4 Sort 146, -6, -1, -3 in ascending order. -6, -3, -1, 146 Sort 1.6, -1/5, 120/647, 1. -1/5, 120/647, 1, 1.6 Put 60, 5, 43, -2 in descending order. 60, 43, 5, -2 Put -1/7, -1/2, -1/72, -2, -2/145 in increasing order. -2, -1/2, -1/7, -1/72, -2/145 Put -3, -124, -2, 4, 119 in decreasing order. 119, 4, -2, -3, -124 Sort 2, -9, 4, 72 in increasing order. -9, 2, 4, 72 Put 5, 318, -2, 0, -1, 4 in descending order. 318, 5, 4, 0, -1, -2 Sort 1, -4, -14, 5, -3, -8 in increasing order. -14, -8, -4, -3, 1, 5 Put 2/9, 1/4, -8, 0.1502 in descending order. 1/4, 2/9, 0.1502, -8 Sort -0.137, -4, -0.4, 1, 0.41, 0.3 in ascending order. -4, -0.4, -0.137, 0.3, 0.41, 1 Put -7, 5, 8, 1, 308 in ascending order. -7, 1, 5, 8, 308 Sort 0.1, 2/9, 3/5, -52, 4/3 in increasing order. -52, 0.1, 2/9, 3/5, 4/3 Put 1, -0.5, -0.3, -9.4905 in ascending order. -9.4905, -0.5, -0.3, 1 Put -2, -17/59, -0.2, -5 in ascending order. -5, -2, -17/59, -0.2 Put 16, 0, -31.3, -0.5, 0.1 in descending order. 16, 0.1, 0, -0.5, -31.3 Sort -17/15, 40, 2/5, 2. -17/15, 2/5, 2, 40 Put -10, -5, -196, 0, 3 in increasing order. -196, -10, -5, 0, 3 Put -10/7, -210, -4, 3, -5 in increasing order. -210, -5, -4, -10/7, 3 Sort -10390, 2, -5 in decreasing order. 2, -5, -10390 Put 7/11, -1/5, 2.179 in ascending order. -1/5, 7/11, 2.179 Put 0, 233, -4, 3, 1 in ascending order. -4, 0, 1, 3, 233 Sort 4, 28, -3, 0, -62 in decreasing order. 28, 4, 0, -3, -62 Put -29, 0, 4, 297, -1 in descending order. 297, 4, 0, -1, -29 Sort -5, -3, 8, 1, 3, 390 in decreasing order. 390, 8, 3, 1, -3, -5 Put -3, -2, 4, -62, 0, -1 in descending order. 4, 0, -1, -2, -3, -62 Sort -1, 582, 0, 13, -5, -4 in descending order. 582, 13, 0, -1, -4, -5 Put 3, 2, -3/5, -40/17 in descending order. 3, 2, -3/5, -40/17 Sort -11, 51, -3, 439 in descending order. 439, 51, -3, -11 Sort -1/10, -0.183, 0.4 in increasing order. -0.183, -1/10, 0.4 Sort -0.1, 3, 0.2, 2345, -3, 0. -3, -0.1, 0, 0.2, 3, 2345 Sort -4.2, 0.1, 0.11, 2/43 in increasing order. -4.2, 2/43, 0.1, 0.11 Sort 35, -5, 2/17, 3, -7/2, 0.4 in decreasing order. 35, 3, 0.4, 2/17, -7/2, -5 Sort -5, -0.4, -1/10, -4535 in descending order. -1/10, -0.4, -5, -4535 Sort 0.2, -69, -1, 8, 0.1. -69, -1, 0.1, 0.2, 8 Put -202, 0, 262 in increasing order. -202, 0, 262 Put 5, 3/4, 2/15, 7, -16192, -1 in increasing order. -16192, -1, 2/15, 3/4, 5, 7 Sort -1/3, 39, -127/8 in increasing order. -127/8, -1/3, 39 Put -3, -23/5, -3/2, 46, -2 in decreasing order. 46, -3/2, -2, -3, -23/5 Sort 2, -27, -227, -1, 4 in descending order. 4, 2, -1, -27, -227 Put 0.1, -14, 0.3, -0.2, 7, -37 in ascending order. -37, -14, -0.2, 0.1, 0.3, 7 Put 11, -4, -18, 3, 2 in increasing order. -18, -4, 2, 3, 11 Sort 4, -2/5, 0.3, 0.38, -0.3, 8 in decreasing order. 8, 4, 0.38, 0.3, -0.3, -2/5 Sort -15/4, -0.2, -0.1, -10/7, -3 in increasing order. -15/4, -3, -10/7, -0.2, -0.1 Sort -24, -4, -31, -2 in ascending order. -31, -24, -4, -2 Sort 1/3, 1514, 6, -0.04, -4. -4, -0.04, 1/3, 6, 1514 Put 34, 135, -18, 2 in ascending order. -18, 2, 34, 135 Put -1, -24, 71, -3, 35 in descending order. 71, 35, -1, -3, -24 Sort 4, 2383, -1/3 in increasing order. -1/3, 4, 2383 Sort -5, -2/5, -2/13, -263. -263, -5, -2/5, -2/13 Sort -1, 27, -488. -488, -1, 27 Sort -32/5, -2, 0, -19. -19, -32/5, -2, 0 Put 5, 0.9, -91, 1/8 in decreasing order. 5, 0.9, 1/8, -91 Put 5, -5/9, 0, 445 in decreasing order. 445, 5, 0, -5/9 Sort 3, -48, -35 in ascending order. -48, -35, 3 Put -2, -3, 785 in descending order. 785, -2, -3 Sort 5, -1.19, 2275 in descending order. 2275, 5, -1.19 Sort 52/9, -0.05, -1/7. -1/7, -0.05, 52/9 Sort 0, -4, 1, -12, -31 in ascending order. -31, -12, -4, 0, 1 Put -2, -8, -21, -6, -5 in decreasing order. -2, -5, -6, -8, -21 Put 7, -2, 47821 in decreasing order. 47821, 7, -2 Put 215, 13, -3, -26 in decreasing order. 215, 13, -3, -26 Put -3, 5, 4, -40398, -2 in descending order. 5, 4, -2, -3, -40398 Sort -35, 121, 4, 3, -5 in increasing order. -35, -5, 3, 4, 121 Sort 439, -5, -2, 1, -4 in increasing order. -5, -4, -2, 1, 439 Put -6/43, 3/4, -49/4, 2/9 in increasing order. -49/4, -6/43, 2/9, 3/4 Put -0.3, 2/5, -4, -10, -13 in decreasing order. 2/5, -0.3, -4, -10, -13 Put 0, -40, -8, 4, 23 in descending order. 23, 4, 0, -8, -40 Sort 5, -1/2, -3.8, -5, 111, -2/3. -5, -3.8, -2/3, -1/2, 5, 111 Sort 2/7, -449, 0.12, -2/9, 2, 11 in decreasing order. 11, 2, 2/7, 0.12, -2/9, -449 Put 5, -7680, 10 in increasing order. -7680, 5, 10 Sort 4, -610, -110, -14 in increasing order. -610, -110, -14, 4 Put -2, 7, 5, -1/4, -2277 in descending order. 7, 5, -1/4, -2, -2277 Sort 2/5, -0.3, -4, -6, -0.8. -6, -4, -0.8, -0.3, 2/5 Sort -5, 2942, 2, 9 in ascending order. -5, 2, 9, 2942 Put -56, -4, -5, 46, -1, -2 in decreasing order. 46, -1, -2, -4, -5, -56 Sort 1, 3/7, -1.3, 3/5, 0.106, 0.2 in increasing order. -1.3, 0.106, 0.2, 3/7, 3/5, 1 Put 5, 3, 6310 in descending order. 6310, 5, 3 Sort 0, 17, -67, -9 in decreasing order. 17, 0, -9, -67 Sort -3, -38, 782 in ascending order. -38, -3, 782 Put 4, 0.03, -0.5, -170318 in increasing order. -170318, -0.5, 0.03, 4 Put 5, -2, 0, -118/9 in descending order. 5, 0, -2, -118/9 Put -1, 3, -1376, 3/2 in descending order. 3, 3/2, -1, -1376 Sort 12, 2154, 5, -1, 4. -1, 4, 5, 12, 2154 Put -0.343, -429, -0.2, 2 in decreasing order. 2, -0.2, -0.343, -429 Sort -4.1, -2/3, 0.027, -0.4. -4.1, -2/3, -0.4, 0.027 Sort -137, -5/7, 1/10, -0.5 in ascending order. -137, -5/7, -0.5, 1/10 Put -2, 1, -4, 25, 52 in descending order. 52, 25, 1, -2, -4 Put -42, -190, 2 in increasing order. -190, -42, 2 Sort 2, -922, 18 in descending order. 18, 2, -922 Put -488, -13, -4 in ascending order. -488, -13, -4 Sort 4/5, 1, -3, 53, 17 in descending order. 53, 17, 1, 4/5, -3 Sort 21, -6, -3, 5, 0, 3. -6, -3, 0, 3, 5, 21 Sort 8, -2, -0.54. -2, -0.54, 8 Sort -1, 3, 0, 5, -38 in descending order. 5, 3, 0, -1, -38 Put 0.024771, -2, 12 in decreasing order. 12, 0.024771, -2 Sort 0, -330, 1, -5, 2 in decreasing order. 2, 1, 0, -5, -330 Sort 0, -4, -0.021, 13/2. -4, -0.021, 0, 13/2 Sort -11, 46, -6, -40. -40, -11, -6, 46 Sort -42, -92, -4 in increasing order. -92, -42, -4 Sort 9, 5/4, -1/2, 55 in descending order. 55, 9, 5/4, -1/2 Put -0.4, -22/69, -0.2, -5, 4, -3 in decreasing order. 4, -0.2, -22/69, -0.4, -3, -5 Sort 1/6, -0.5, 1/43, 735, 5, 2 in descending order. 735, 5, 2, 1/6, 1/43, -0.5 Put -0.3, 4, -22.04, -23, -2/3 in decreasing order. 4, -0.3, -2/3, -22.04, -23 Put -2, 5, 2, -168, -15, 4 in descending order. 5, 4, 2, -2, -15, -168 Sort -18, 3/4, 44, -4, -3/7. -18, -4, -3/7, 3/4, 44 Sort 136, 4/19, -24 in ascending order. -24, 4/19, 136 Put -0.2, 833, -1/147 in descending order. 833, -1/147, -0.2 Sort 2, -2/1255, 1/4 in decreasing order. 2, 1/4, -2/1255 Put 0.28, 2, 11/70 in increasing order. 11/70, 0.28, 2 Sort -0.268, -2/7, -6/11, -3 in descending order. -0.268, -2/7, -6/11, -3 Sort -26, -63, 45 in descending order. 45, -26, -63 Sort 3, 5, 4, -59 in increasing order. -59, 3, 4, 5 Sort 6839, -14, -1. -14, -1, 6839 Put -3040, -1/6, -6, -2 in decreasing order. -1/6, -2, -6, -3040 Sort -62, -3, -2, -6, -1 in ascending order. -62, -6, -3, -2, -1 Put -137, 1, -9, 3
{ "pile_set_name": "DM Mathematics" }
1 = 5*t - 10. Which is bigger: t or 1? t Let b = 0 - -4. Let h be b/(-9) - (-2)/(-9). Is -1 at most h? True Let c = 131 + -127. Does 12 = c? False Suppose 0*j + 2 = j. Let v be -6 - -6 - (1 + 2). Is j less than v? False Let x = -13 + 19. Let s = x + -10. Is s at least as big as -3? False Suppose -q = -4*q + d - 37, 0 = 2*d - 2. Let t be 9/(-4) - 3/q. Let l = t - -4. Is l >= 3? False Let w be (-5)/30 - (-2 + 1). Which is greater: 1 or w? 1 Let n(b) = b**2 + 15*b + 15. Let c be n(-13). Let h = c - -6. Is h < -1? True Let b(a) = a**2 + 6*a + 2. Let c be b(-7). Let u be 8/36 - 56/c. Let g(z) = -z**3 - 5*z**2 + 6*z + 1. Let d be g(u). Is d >= 0? True Suppose 0 = 2*r - 3 - 5. Suppose r = n + n. Let b be (n/1)/(-2)*-3. Is b >= -2/3? True Let b = -2.33 + 1.33. Suppose -f - 3 = -0. Is f at most b? True Let h(i) be the second derivative of i**6/360 - i**5/120 - i**3/2 - i. Let g(u) be the second derivative of h(u). Let k be g(0). Is 0 >= k? True Let u = -125 + 128. Let l = 0.1 + -0.3. Which is smaller: u or l? l Let w = -4 - 1. Let h = -5.2 - w. Let m be (-3)/2 - (-3 - -2). Which is smaller: m or h? m Let m(n) = -n - 7. Let c be m(-7). Let r(a) = -a**2. Let d be r(c). Let s(i) = -i**3 + 3*i**2 - i + 3. Let b be s(3). Is d < b? False Let r(g) = g**2 + 5*g + 3. Let o be r(-5). Let h be -6*(-2)/o*-1. Which is greater: h or 1/4? 1/4 Let g = -5 + 3. Let l = 11 - 8. Suppose -4*t - 4*w = t + 14, 0 = t - l*w - 1. Are g and t equal? True Let f = -13/12 - -5/4. Is f at least 0? True Let x(c) = c. Let h = 9 + -9. Let i be x(h). Let v = -3 - -3.4. Is v at least as big as i? True Suppose -44*l = -46*l + 4. Does l = 59? False Let c = -0.05 + 0.05. Let a = c + 5. Let g = a + -5.2. Do g and -2 have the same value? False Suppose -12*q = -1 + 1. Are 1/60 and q unequal? True Let h be ((-1 + 3)*-1)/2. Let i = -68 - -39. Let j = -86/3 - i. Which is greater: h or j? j Let q be (2/6*-2)/(24/138). Which is smaller: -4 or q? -4 Suppose -2*j = -7*j - 5. Let q be 7 + -5 - 116/14. Let t = -206/35 - q. Which is smaller: t or j? j Let y = 13 - 9. Let s be 5 - (y + 0) - 3. Is -4 bigger than s? False Suppose 0 = -0*o + 5*o - 30. Let q be 3*1/(o/14). Let n be (-4)/q + 2 + -1. Which is smaller: 1 or n? n Let l = -18.2 + 16. Let b = 1.5 + l. Let t = b + 0. Is t at least as big as -1/3? False Suppose 5*d + 25 = 0, 2*s + 2*d + 0*d = 16. Let p = s + 2. Which is smaller: p or 14? 14 Let g = 13.7 - 13. Let q = 2 + -3. Let r = g + q. Which is greater: r or 2? 2 Let p = -18 + 19. Let g = -2.8 - -3. Let x = g + -0.2. Are x and p non-equal? True Suppose 0 = 4*x - 28 - 12. Let g = x - 8. Which is smaller: g or -0.1? -0.1 Let t be -1*(1 - -2 - 2). Let w be 14 + (-1 - t - -2). Let h = -31/2 + w. Which is smaller: h or 2? h Let h = 112 + -157. Let i = 3 - 0. Let s be h/(-297) + (-1)/i. Which is smaller: s or 0? s Let f be (-4)/(-8) - (1 + 1/(-2)). Is f greater than -1? True Let z = -42 - -124/3. Let h(g) = 4*g. Let t be h(-2). Let s be 21/(-28) + 2/t. Which is smaller: s or z? s Let a = 15 + -12. Which is greater: a or 16/5? 16/5 Let a be ((-7)/(-2))/((-2)/(-4)). Let c = a - 4. Suppose c*x - 2*x = -1. Which is bigger: 2/7 or x? 2/7 Let q(d) = 10*d + 21. Suppose g + p = -0*p - 5, 0 = -g + p - 9. Let l(x) = 7*x + 14. Let r(t) = g*l(t) + 5*q(t). Let y be r(-3). Which is bigger: 3 or y? y Let v = -2 + 6. Is 8 != v? True Let t = 45 - 134/3. Is t at least as big as 1? False Let r(d) = -d**3 - 6*d**2 - 8*d - 5. Let c(k) = -k**3 - 8*k**2 + 9*k - 5. Let a be c(-9). Let s be r(a). Let l be -1 + 2 + -4 + s. Is -1/2 > l? False Let y(h) = h - 18. Let a be y(9). Is -10 less than a? True Let p = -12 + 10. Let y = p - -5. Is 2 < y? True Suppose -3*b = -20 + 2. Let l = b + -5. Which is bigger: l or 3/5? l Let t be ((-2)/3)/((-10)/(-201)). Let g = t + 14. Is 0 at least g? False Let i = 895/13 - 69. Which is greater: i or -1? i Let s(v) = -v - 4. Suppose 0 = g + 7 + 4. Let o = -18 - g. Let p be s(o). Is p greater than or equal to -1? True Let c = 16/3 - 49/9. Suppose 2*v + v + 2*v = 0. Which is smaller: v or c? c Let c = 0.1 + -0.13. Let d = 0.17 - c. Let z(f) = -f**2 + 3*f + 1. Let h be z(4). Is h at least as big as d? False Let o be ((-5)/15)/(2/6). Are 5/12 and o unequal? True Let k = -7.9 + 8.9. Which is smaller: -5 or k? -5 Suppose 17 = 5*x + 7. Let s be x - (-1 - -1)/(-3). Suppose 0 = v + s*v + 3. Is -1 less than or equal to v? True Let w = -103 - -109. Which is greater: 0 or w? w Let j be (1 + 0 + -1)/(-2). Let a(l) = l**2 + 6*l - 5. Let d be a(-7). Suppose -d*h = -3*h + 1. Is h less than or equal to j? False Suppose 0 = 65*x - 59*x + 126. Which is smaller: -23 or x? -23 Let g(s) be the second derivative of s**5/20 - 5*s**4/12 + s**3/2 + 5*s**2/2 - 6*s. Let z = -9 + 13. Let w be g(z). Which is smaller: -1/6 or w? -1/6 Let z be 4 + 5/(15/(-9)). Let q be z/(-3) - (-6)/(-9). Let d be -6*q/(-2)*-2. Is d > 6? False Let j = -6 + 12. Which is greater: 5 or j? j Let l be -1 + (1 - -2) - -1. Suppose -l*p + 4*n - 9 = 0, -6*p + p = -5*n + 10. Which is bigger: -2/13 or p? p Suppose 51 = -3*w + 4*b, -3*w - 66 = 2*b - b. Let k be (2 - 0) + w/7. Suppose -3*r + 11 = 5*j - 0*r, -5*j = 2*r - 9. Which is greater: j or k? j Suppose n - 1 = -2*y + 1, 4*y - 4*n + 8 = 0. Let v = 101/3 + -34. Which is smaller: v or y? v Suppose 6*p = -p + 294. Which is smaller: 41 or p? 41 Suppose 4*i - 3*i = 12. Suppose -3*z + 0 = -i. Suppose -z*n = -5*n. Which is smaller: n or -1/4? -1/4 Let z be -4 + (-2 - -8) + 1. Suppose 5 = -5*y + w, -3 = 4*y - y - z*w. Which is smaller: y or -1/4? y Let v = 9 + -8. Let m be (v + (-12)/9)*-75. Suppose x + 2*x + 5*z + m = 0, -4*x - 25 = 5*z. Is x at most as big as -3? False Let s = -1771/36 - -195/4. Let q be (0/(-5 - -2))/(-2). Is q at least as big as s? True Let k be (38/(-33))/(1/(-63)). Let t = k + -72. Do 2 and t have different values? True Let f = -0.06 - 0.94. Let d = 6.4 - 6. Let l = d - 0.2. Which is smaller: f or l? f Let g(h) = -26*h**3 + h**2. Let i be g(1). Let j be 4/10 + 60/i. Which is smaller: j or -3? -3 Let d = 2.52 - 0.02. Let y = d - 2.9. Is -0.4 <= y? True Let w be 12/(-1 - 3) + 2. Let j(t) = -t + 1. Let u be j(2). Do u and w have the same value? True Let c = 93/5 + -91/5. Let n = 69.1 + -69. Which is smaller: c or n? n Suppose -d + 2 = 0, -4*s = -0*s + 4*d - 20. Suppose 2*a = 3*a + 3. Let k be (-2 + 3)/(-1) - a. Is k less than s? True Let k be (-2)/(-8) - 25/4. Which is bigger: k or -7? k Let s = 5 - 8. Let k = 2 + s. Let c = 25/6 + -53/12. Which is greater: k or c? c Let v = -99/68 - -12/17. Let i be 2 - (3 - 0) - 1. Do v and i have different values? True Let u = 0.0924 - 4.1224. Let y = u - -0.03. Which is bigger: y or 0.1? 0.1 Suppose -4*v = -4*a - 7*v - 1, -5*v - 13 = a. Suppose -4*z = -9*z - 3*d - 27, 4*z + 4*d = -20. Let b be (-21)/(-9) + 2/z. Does b = a? True Let d(y) = 11*y + 7. Let q be d(-3). Is -26 bigger than q? False Suppose -61*a = -66*a + 5. Which is greater: 1/107 or a? a Let n(d) = -d**3 + 5*d**2 + 9*d - 16. Let u be n(6). Is u <= 2/3? False Let v = -55/336 + 1/48. Which is bigger: v or 0? 0 Suppose -7 = -3*m - d, -5*m - d + 8 = -3*d. Is m at least 18/17? True Let d(t) = -2*t - 11. Let g be d(-4). Let a(j) = -j**2 + 10*j + 2. Let y be a(10). Let r = -5 + y. Is r at most as big as g? True Let x = 3 - 2.9. Let g = -0.006 + 0.106. Is x at least as big as g? True Suppose -4*v + 13 - 5 = 0. Suppose -7*x - v = -6*x. Let b = -16 + 15. Which is smaller: x or b? x Suppose 2*h = 4*v + 20, -7*h + 5*v + 40 = -2*h. Let f(t) = -t**3 + 6*t**2 - 3. Let d be f(h). Which is smaller: -4 or d? -4 Let s = 14 - 10. Let p be 1 - ((-5 - -2) + s). Let l be (2/(-5))/(1 - -1). Is p smaller than l? False Let h(i) = -4*i**3 + i**2 - 2*i - 1. Let k be h(-1). Is 5 greater than or equal to k? False Let v = 13 - 9. Suppose -v*z = 4 + 12. Let x = -2 - z. Is 2 less than x? False Let o be (-3 + 1)/(2/5). Let q = o - -7. Let u = q - 0. Is u > 2? False Let z = 0.0189 + -4.9089. Let s = z + -0.11. Which is greater: -1/4 or s? -1/4 Suppose 0 = -4*u + 5 + 3. Suppose -2*k = -3*b - 0*b + 18, 4*k + 20 = u*b. Is b at least 4? True Let n = -8 - -33/4. Is -1/2 greater than n? False Let l = 0.895 + 0.045. Let o = l - -0.06. Let q = -0.6 - 0.4. Is o equal to q? False Let u be ((-18)/(-30))/(2/10). Let p be 16/u*9/(-6).
{ "pile_set_name": "DM Mathematics" }
*3 to the form w*y**3 + g*y + f + t*y**2 and give g. 0 Rearrange -85*t**3 + 69*t**3 - 2*t**4 + 5*t**4 + 2*t to i*t**3 + g*t + c + v*t**4 + q*t**2 and give g. 2 Rearrange 2*x**2 - 4*x + 4*x + (-4 + 4 - 2*x)*(-x + x + 2*x) to p*x + z*x**2 + v and give z. -2 Rearrange (-w - 3*w + w)*(0*w + 2 - w + 4*w)*(-1 + 1 - w) to p*w + s + n*w**3 + l*w**2 and give n. 9 Express 51*d + 59*d - 33*d in the form t + i*d and give i. 77 Rearrange 5*i + 3*i - 7*i + 23*i**2 to p*i + c*i**2 + k and give p. 1 Rearrange -6*h - 6*h - 2*h + 2*h to d + m*h and give m. -12 Express 0*k + 2*k - k + 13*k**2 in the form i*k**2 + s*k + c and give i. 13 Express 15*l**2 - 57*l**2 + 28*l**2 in the form n*l**2 + u + z*l and give n. -14 Express -b**4 + 2*b**2 - 2*b**2 + (3 + 1 - 3)*(2*b**4 + 2*b**4 + 0*b**4) as y*b**4 + g + i*b + n*b**3 + u*b**2 and give y. 3 Express (5*y - y + y)*(1 - 4 + 2) in the form g + f*y and give f. -5 Rearrange (-3*x + 2*x + 2*x + x + 0 + 0 + (4 - 2*x - 4)*(9 - 12 - 11))*(-x + x**3 + x) to g + h*x**3 + n*x + b*x**2 + a*x**4 and give a. 30 Rearrange -89*w - 8*w + 34*w to v + j*w and give j. -63 Express (2 + 0 + 0)*(3*i - i + 0*i) + (5 - 2 - 2)*(33 + 38*i - 33) as g*i + w and give g. 42 Rearrange (0*o + 2*o + o)*(2*o**2 - 6*o**2 + 2*o**2) to x*o**3 + p*o + b + g*o**2 and give x. -6 Express (-3 + 1 + 1)*(127*d - 22*d + 2*d)*(d**3 + 0 + 0) as u*d**3 + v + b*d**2 + q*d + p*d**4 and give p. -107 Express 53*b**2 + 39*b**2 - 117*b**2 as p + o*b**2 + x*b and give x. 0 Express -8*m - 1 - 2*m**3 + 4*m + 4*m - 8*m**2 in the form s*m**2 + f*m + v + d*m**3 and give d. -2 Express (-65 + 2*i - 195 + 49)*(1 - 1 - 1) in the form c*i + o and give c. -2 Express -4 + 3*a**4 + 2*a**3 + 238*a**2 + 3*a + 0*a - 2*a - 237*a**2 as x*a**2 + s*a**4 + b*a**3 + q*a + y and give x. 1 Rearrange (3*n**3 - 5*n**3 + 0*n**3)*(5 - 5 - n) + (1 - 2 + 3)*(0*n**4 - 3*n**4 + 4*n**4) to the form a*n**4 + z*n**3 + p*n + l*n**2 + v and give a. 4 Rearrange (-5*u**2 + 2*u**2 - 2*u**2)*(-2 - 3 + 0)*(5 - 5 + u**2) to w*u**4 + k*u**3 + d*u + n + s*u**2 and give w. 25 Rearrange 17*v**2 + 64*v**2 + 21*v**2 + 20*v**2 to b*v**2 + w*v + l and give b. 122 Rearrange q**4 - 42*q**2 - 2*q + q**3 + 1 + 74*q**2 - 37*q**2 + 0 to m*q**2 + a*q + h*q**3 + l + f*q**4 and give a. -2 Express (-4*g**3 + 4*g**3 + g**3)*(-g - 5*g + 3*g) + (7*g**4 - 2*g**4 - 2*g**4)*(0 + 1 - 3) as y*g**2 + t + p*g**4 + z*g**3 + h*g and give p. -9 Rearrange -x - 45 + 45 to the form k*x + s and give k. -1 Rearrange (-3*g + 3*g + g + 1)*((4 - 1 - 2)*(-2*g + 4*g - g) - 3*g - 1 + 1) to the form d*g**2 + k*g + m and give d. -2 Rearrange 0*m - 4*m + 3*m + (6 - 3 - 1)*(-4*m + 2*m + 6*m)*(-3 + 2 + 6) to o*m + a and give o. 39 Express (18 + 0 + 1)*(4*j + 3*j - 6*j) - 3*j + 3*j + j as z*j + c and give z. 20 Rearrange b - 8*b + b - 9*b to the form n + s*b and give s. -15 Rearrange (-2*g + 2*g + 3*g)*(-34 - 33 + 66 + 5*g) to the form a*g + i*g**2 + l and give i. 15 Rearrange 3*g - 1 + 1 + 4*g - g - 2*g + (0*g + 2*g + g)*(0 - 2 - 1) + 2*g - 2*g + 2*g to the form o + j*g and give j. -3 Rearrange -l**2 - 4*l**2 + 4*l**2 + (0 + 2*l**2 + 0)*(-3 + 4 - 3) + (-l + l - l**2)*(-5 + 8 + 2) to the form v*l + u + t*l**2 and give t. -10 Rearrange (0*g + g + g)*(-3*g + 0*g + 8*g)*(5*g + 5*g - 4*g)*(-1 + 3 + 0) to the form v*g + l + f*g**2 + p*g**3 and give p. 120 Express -18*v**2 - 14*v**2 - 4*v**2 as l*v**2 + p*v + s and give l. -36 Rearrange 0*r**2 - 2*r**3 + 0*r**2 + (-5 + 5 - 4*r)*(r**2 + 0*r**2 + 0*r**2) - 2*r**3 - 3*r**3 + 4*r**3 to the form g*r**3 + z + n*r + x*r**2 and give g. -7 Rearrange (-1 + 12*i**2 - i**2 + 6*i**2)*(-1 - 1 + 0) + (2*i - 4*i + 0*i)*(2*i + 2 - 2) to the form o*i + p + d*i**2 and give p. 2 Rearrange -31 + 16*t + 62 - 35 to the form l*t + o and give l. 16 Rearrange 2*g**2 - 4*g - g**2 - 3*g**3 + 2*g**3 - 9*g to h*g + y + c*g**3 + z*g**2 and give z. 1 Express 6*i**2 - i**2 - 7 - 7*i**2 as p*i**2 + b + z*i and give b. -7 Express (-3 + 1 + 0)*(3*u + 6*u + 3*u)*(-4*u - 3*u + 5*u) as y*u**2 + d + r*u and give y. 48 Express -280 - 26*b + 280 in the form z + g*b and give g. -26 Express 0*w**4 - 10*w**3 + 2*w**3 - 1 + w + w**2 + 5*w**3 - w**4 in the form o + q*w**4 + n*w**3 + r*w + f*w**2 and give f. 1 Express -4*g - 3*g + 0*g - 7*g in the form t + m*g and give m. -14 Rearrange -4*t**2 - 19*t**3 - 19*t + 10*t**3 + 19*t - 1 to w*t**3 + g + f*t + o*t**2 and give o. -4 Rearrange (0*v + 0*v - v)*(-3 - 1 + 5 - 6*v) to the form m*v**2 + a + s*v and give m. 6 Rearrange (-l + 4*l - 4*l)*(4 - 4 + 2*l) + (0*l - 3*l + 4*l)*(-2 - 7*l + 2) to the form k*l + r*l**2 + x and give x. 0 Rearrange -3 + 11*a**4 - 10*a**4 + a**3 + a**2 + 2 to s*a + p*a**2 + v*a**4 + z*a**3 + m and give p. 1 Express 11*l - 13*l + 29*l + 9*l as j*l + w and give j. 36 Rearrange -2*j**4 + 6*j + 2*j**2 + j**3 + 10*j - 2 - 14*j to q*j + y*j**4 + t*j**3 + d + c*j**2 and give c. 2 Express (12*b**2 + 141*b**2 - 294*b**2)*(4 - 1 - 4) in the form y + s*b + k*b**2 and give k. 141 Rearrange -21*v**2 - 24*v + 24*v to c*v + z*v**2 + a and give z. -21 Express 12 - 294*y + 3*y**2 - y**2 + 294*y as v*y + m*y**2 + p and give m. 2 Rearrange (3*v - 5*v + v)*(-v**2 + 2*v**2 - 2*v**2) + 0*v**3 + 0*v**3 + v**3 - v**3 + 7*v**3 - v**3 to p*v + o + d*v**3 + k*v**2 and give d. 7 Express (-8*b**3 - 13*b**3 - 22*b**3)*((3 + 2 - 4)*(0 - 2 + 3) + 5 - 4 + 1) in the form v*b**2 + t*b**3 + u*b + s and give t. -129 Express -755*u + 768*u + 0*u**3 + 1 - 2*u**2 - u**3 in the form b*u + z*u**3 + s*u**2 + q and give z. -1 Express (-5 - 3*w + 5)*(-172 - 14*w - 170 + 343) in the form r*w + d*w**2 + p and give r. -3 Rearrange 24*o**4 + 21*o**4 - 48*o**4 - o**4 + 4*o**2 - 4*o**2 + (-2*o**2 + o**4 + 2*o**2)*(0 - 2 + 4) to p*o + n*o**4 + c*o**2 + f + k*o**3 and give n. -2 Rearrange (-25*q - 50*q - 1 + 1)*(q - 2*q - q) to the form a*q + o*q**2 + i and give o. 150 Rearrange (-1 - 4 - 3)*(-3*k + 4 - 4) + (-3*k - k + 6*k)*(-1 + 2 + 1) + 2*k - 3*k + 3*k to q + f*k and give f. 30 Rearrange (-10*q + 5 - 5 + 3)*(2*q - 2*q - 2*q) to the form b*q**2 + c + k*q and give b. 20 Rearrange 7*z + 199 - 199 + (z - 7*z + 3*z)*(1 - 2 + 3) to m + l*z and give l. 1 Rearrange (-2*w - 4 + 4)*(19*w + 9*w**2 - 19*w) + (-4 - 2*w**2 + 4)*(-w - 3 + 3) to s*w**2 + v*w**3 + q + l*w and give v. -16 Rearrange 3*w**2 - 3 - 5*w**3 + 17*w**3 + 2 - 5*w**2 to c + g*w + x*w**3 + v*w**2 and give c. -1 Express 11*c**4 - c**4 - 15*c + 18*c + 1 as s*c**3 + o*c**2 + y + f*c**4 + m*c and give m. 3 Express -6*p - 5*p - 4 + 13*p + 0 as b + v*p and give b. -4 Express y + 4*y**2 - 3*y - 8*y**4 + 6*y**4 as m*y**3 + h*y + g + u*y**4 + n*y**2 and give h. -2 Express (0 - 1 - 2 + (-1 + 0 + 2)*(4 + 1 - 3) - 5 + 4 - 1)*(-5*x + 8 - 8) in the form j*x + y and give j. 15 Rearrange -3*c + 1 - 5*c**4 + 0*c**4 + 2*c**4 + 2*c**4 to the form p + k*c**3 + a*c**4 + i*c**2 + u*c and give p. 1 Rearrange -54*a - 8*a + 20*a to the form p + f*a and give f. -42 Express (3 + 2 - 4)*(y + 0*y - 3*y) + (-11 + 16 - 3*y - 7)*(-2 + 0 + 1) as i*y + d and give i. 1 Express (5*q - 31 + 31)*(2*q + 1 - 1)*(3 - 3 - 2) + (1 + 1 - 3)*(-5*q**2 - 3*q + 3*q) as j + a*q**2 + r*q and give r. 0 Rearrange x**4 + 19 + x**2 - 11 - 9 - 2*x**3 - 2*x**4 to the form s + u*x**3 + h*x**2 + b*x + v*x**4 and give h. 1 Rearrange 13*p**2 - 3*p**4 - 10*p**2 - p**3 + p**4 to the form f*p**2 + x*p**3 + u + i*p + l*p**4 and give x. -1 Express -4*a - 2*a**2 + 6*a**2 - a**2 - 2*a**2 + 4*a**2 + 0*a**2 + (-3*a - 3*a + 4*a)*(-2*a + 0*a + a) in the form k + h*a + d*a**2 and give h. -4 Express h - 6*h + 6*h - 2*h as j*h + r and give j. -1 Rearrange 15*x**2 - 3*x**2 + 68*x**2 - 5*x**2 to the form t*x + a + z*x**2 and give z. 75 Rearrange (-4 + 2 + 3)*(-1 + 9*j + 1) - 12*j + 10*j + 5*j to p + l*j and give l. 12 Rearrange -2*z**3 + 0*z**3 + z**3 + (-2*z + 2*z + 2*z)*(5*z**2 - 3 + 3) to the form d + b*z**2 + g*z + y*z**3 and give y. 9 Rearrange 26*t**2 + 11 + 16*t**2 - 11 to a + b*t + c*t**2 and give c. 42 Rearrange (-2*v**3 + 5*v**3 + 0*v**3)*(-43 + 59 - 34) to the form t*v + m*v**2 + a*v**3 + g and give a. -54 Rearrange 6 + 0 - 6 + w to the form m + p*w and give p. 1 Express -1 - s**4 - 3*s**4 + 5*s**2 - 2*s**3 + s - 5*s**2 as f + y*s + z*s**4 + a*s**2 + w*s**3 and give y. 1 Rearrange -22*x**3 + 5*x**3 + 8*x**3 + 3*x + (-x - 1 + 1)*((0*x + 0*x + x)*(
{ "pile_set_name": "DM Mathematics" }
+ 2*h Let d(c) = c**2 + 5*c**2 - 2*c**2 + c**2 - 8*c**2. Let g(l) = -l**2 - 3*l. What is g(d(i))? -9*i**4 + 9*i**2 Let j(x) = -81*x**2 + 69*x. Let p(g) = 142*g. Give j(p(r)). -1633284*r**2 + 9798*r Let n(k) = -20 - 2*k**2 + 20. Let t(j) be the third derivative of 4*j**2 + 0*j**3 + 0*j + 0 - 1/12*j**5 + 0*j**4. What is n(t(m))? -50*m**4 Let w = 2/4835 - -4831/9670. Let o(b) be the third derivative of 0*b**3 - w*b**5 + 2*b**2 + 0*b + 0 + 0*b**4. Let h(d) = 2*d. Determine h(o(l)). -60*l**2 Let q(i) = -661*i**2. Let b(v) = 22*v**2 + v. What is b(q(n))? 9612262*n**4 - 661*n**2 Let u = 35 + -40. Let w(f) = -133*f. Let t(i) = 12*i. Let h(x) = u*w(x) - 56*t(x). Let s(z) = -3*z. What is s(h(n))? 21*n Let w(g) = -2*g**2. Let t(o) be the second derivative of 0*o**2 + 7/6*o**3 - 10*o + 0. Give t(w(u)). -14*u**2 Let d(p) = 101*p**2 - 7. Let m(q) = q - 13 - 6 - 16 + 35. Calculate m(d(g)). 101*g**2 - 7 Let q(k) be the second derivative of -2*k**3/3 + 39*k. Let d(h) = -h**2 + 13*h. Determine d(q(m)). -16*m**2 - 52*m Let l = 9 + -7. Let u(v) = -6*v**2 + 9*v**2 + 4*v**l. Let c(s) = -3*s. What is c(u(b))? -21*b**2 Let z(d) = 6*d. Let l(t) = 7*t - 7*t - 13*t. Let w(p) = -9*p. Let g(q) = -5*l(q) + 7*w(q). Determine z(g(f)). 12*f Let f(i) = -31*i. Let t(g) = -8909*g**2. Determine f(t(j)). 276179*j**2 Let m(i) = 3*i**2. Let l = 31 - 30. Let b(v) = 3*v**3 - 1. Let o be b(l). Let f(c) = -2*c**2 + c**2 + c**2 + 5*c**o. Calculate f(m(a)). 45*a**4 Let r(v) = 10600*v. Let b(x) = x**2. Calculate b(r(u)). 112360000*u**2 Suppose -h - 5*v + 18 = -2*h, h = -v + 6. Let r(j) = 17*j**h - 8*j**2 + j**2. Let q(k) = -k. Give q(r(o)). -10*o**2 Let a = -38 + 68. Let r(y) = -53*y + 25*y + a*y. Let s(c) be the third derivative of -c**5/60 + c**2. Give s(r(q)). -4*q**2 Let t(i) = i. Let c(h) = -9*h - 721. Give c(t(b)). -9*b - 721 Let f(j) = -2*j + 21226. Let m(a) = -2*a**2. What is f(m(c))? 4*c**2 + 21226 Let d(s) = -10*s**2. Let h be 10/(-3)*30/(-20). Let b(f) = -12*f + 7*f + 7*f + h*f. Give b(d(j)). -70*j**2 Let a(g) = 13*g - 9. Let q(l) = -3*l + 2. Let u(b) = -2*a(b) - 9*q(b). Let d(r) be the second derivative of -r**4/12 + 181*r. Determine d(u(t)). -t**2 Let i(s) = 3*s**2. Let t(d) be the first derivative of 9*d**2/2 + 14. Calculate i(t(z)). 243*z**2 Let g(i) = -i. Let m(u) = -u**2 + 10*u - 8. Let l be m(6). Let s = l + -6. Let d(o) = 3*o + 9 - s + 1. What is d(g(a))? -3*a Let r(f) = 2*f. Let n(c) = -c**3 + 11*c**2 - 9*c - 2. Let o be n(9). Let m(j) = -1 - 88*j**2 + o*j**2 - 4. Give m(r(b)). -36*b**2 - 5 Let r(z) = 57*z - 3. Let m(y) = 4*y - 1. Let g(t) = -m(t) - r(t). Let l(k) = k. What is g(l(o))? -61*o + 4 Let n(m) = -3*m**2. Let r(g) = 5816*g. What is n(r(i))? -101477568*i**2 Let l(i) = -2305*i. Let z(a) = 2*a**2 - 7. Determine z(l(u)). 10626050*u**2 - 7 Let x(f) = f. Let w(o) be the third derivative of -161*o**4/6 - 24*o**2. Let i(n) = 33*n. Let v(z) = 98*i(z) + 5*w(z). What is v(x(s))? 14*s Let x(v) = -3*v**2 + 6*v - 6. Let f(n) = 2*n**2 - 5*n + 5. Suppose 5*u - 19 - 11 = 0. Let q(t) = u*f(t) + 5*x(t). Let h(k) = -2*k**2. What is q(h(o))? -12*o**4 Let o(j) = -91*j**2. Let h(m) = 10*m**2 - 5*m - 5. Let l(b) = 5*b**2 - 3*b - 3. Let y(z) = -3*h(z) + 5*l(z). Calculate o(y(c)). -2275*c**4 Let y(g) be the third derivative of 8*g**2 + 1/30*g**5 + 0*g**3 + 0*g**4 + 0*g + 0. Let n(f) = -52*f. Determine y(n(d)). 5408*d**2 Let i(b) = 4*b**2 + 2*b**2 - 4*b**2. Let q(o) = 4*o + 5*o + 3*o + 0*o + 4*o. Calculate i(q(c)). 512*c**2 Let j(f) = -5*f + 5. Let h(q) = 665*q**2. Give j(h(z)). -3325*z**2 + 5 Let g(s) = 66*s. Let h(p) = -740 + 740 + 5*p. Let m(b) = -2*g(b) + 27*h(b). Let j(l) = -5*l**2. Determine m(j(w)). -15*w**2 Let n(w) = 2*w. Suppose 4*r + 12*p - 12 = 9*p, 4*r - 4 = -p. Let s(a) be the third derivative of -1/12*a**4 + r*a + 8*a**2 + 0*a**3 + 0. Determine s(n(z)). -4*z Let f(x) = -4*x - 5*x + 13*x - 9*x + 0*x. Let y(q) = 2*q + 22. Give y(f(j)). -10*j + 22 Let w(v) = v**2. Let n(q) = -24*q + 3. Suppose -15 = -3*j - 0*j. Let g(z) = -48*z + 5. Let t(i) = j*n(i) - 3*g(i). Give t(w(x)). 24*x**2 Let d(h) = 64*h. Let w(f) be the third derivative of f**4/24 + 31*f**2 + 1. What is d(w(m))? 64*m Suppose c + 0*c - 2 = 0. Let h(y) = -2*y**2 + 7*y**2 - 4*y**c. Let q(i) = -11*i**2. Calculate q(h(z)). -11*z**4 Let a(b) = -5 - 2*b + 2*b + 0 + 2*b**2. Let w(v) = v**2 - 2. Let y(d) = 2*a(d) - 5*w(d). Let p(s) = -2*s + 3*s - 2*s**2 - s. Give p(y(x)). -2*x**4 Let g(a) = -14*a. Let d(h) = 223*h. Determine g(d(k)). -3122*k Let r(a) = 16*a**2. Let y(j) = j + 911. What is r(y(n))? 16*n**2 + 29152*n + 13278736 Let s(m) be the third derivative of 11*m**5/60 + 19*m**2. Let j(a) = -2*a + 5. Let b(z) = -z + 2. Let t(x) = 10*b(x) - 4*j(x). Determine t(s(y)). -22*y**2 Let a(z) = -10354*z + 27. Let l(r) = -2*r. Determine l(a(c)). 20708*c - 54 Let s = -629 - -631. Let u(p) be the third derivative of -7*p**s - 1/10*p**5 + 0*p + 0 + 0*p**4 + 0*p**3. Let b(f) = -f**2. Calculate u(b(h)). -6*h**4 Let c(r) be the first derivative of -r**3/3 - 9. Let m(s) be the first derivative of 0*s**2 + 0*s - 3 + 2/3*s**3. Give c(m(t)). -4*t**4 Let g(s) be the third derivative of 7*s**4/24 - 4*s**3/3 + 45*s**2. Let t(d) = d - 2. Let y(q) = g(q) - 5*t(q). Let b(n) = n. Give y(b(x)). 2*x + 2 Let j(b) = 4*b**2 - 2*b**2 - 3*b**2. Let f(t) = 68*t. What is j(f(q))? -4624*q**2 Let d(g) = -45*g + 27. Let f(w) = -209*w. Give d(f(o)). 9405*o + 27 Let s(r) = -32*r + 13*r + 7*r + 11*r. Let c(w) = 4*w**2 + 2*w**2 + w**2. Calculate s(c(j)). -7*j**2 Suppose 2 - 14 = -4*j. Let c(n) = -6*n**2 + j*n**2 - n**2 - 4*n**2. Let u(k) = -5 - k**2 + 5. Calculate u(c(i)). -64*i**4 Let k(u) = u**2. Let x(v) = -787983*v. Calculate k(x(c)). 620917208289*c**2 Let x(y) = 3*y**2 + 12*y - 6. Let j(m) = -4*m**2 - 10*m + 5. Let k(f) = 6*j(f) + 5*x(f). Let t(a) = 2*a - 16. What is k(t(l))? -36*l**2 + 576*l - 2304 Let n(u) = 67*u**2. Let q(h) = -211*h**2. Calculate n(q(x)). 2982907*x**4 Let f(j) = -2*j. Let m(w) = 6 - 3*w - w - w - 1 + 7*w**2. Let s(p) = -28*p**2 + 21*p - 21. Let u(d) = -21*m(d) - 5*s(d). Give f(u(y)). 14*y**2 Let w(a) be the third derivative of 1/10*a**5 + 0*a**4 + 0*a**3 + 0*a + 5*a**2 + 0. Let r(k) = -k + 1 - 1. Give r(w(s)). -6*s**2 Let j(b) = -95*b. Let o(h) = -552*h - 7*h**2 + 8*h**2 + 552*h. Determine j(o(g)). -95*g**2 Suppose -829 - 1448 = -3*g. Let w(t) = g - 759 - t. Let p(a) = -9*a**2. Calculate p(w(l)). -9*l**2 Let w(g) = -51 + 51 - g. Let y(m) be the third derivative of -m**4/8 + 13*m**2. Give w(y(n)). 3*n Let m(q) = 21 - 21 + 11*q. Let l(u) = u - 3. Let x(w) = -1. Let j(c) = -l(c) + 3*x(c). What is j(m(k))? -11*k Let n(l) = 2*l. Let u(x) = 79*x**2 - 14*x + 2. What is u(n(d))? 316*d**2 - 28*d + 2 Let k(p) = 2*p. Let w = 315 - 315. Let s(n) be the third derivative of 0*n - 8*n**2 + 1/15*n**5 + w*n**4 + 0*n**3 + 0. Calculate s(k(t)). 16*t**2 Let o(z) be the first derivative of -147*z**2/2 - 6. Let l(i) = -2*i**2. Determine o(l(m)). 294*m**2 Let c(o) = o**2 - o - 3. Let y be c(2). Let t(d) = d**2 + 3. Let z(h) = h**2 + 1. Let u(r) = y*t(r) + 3*z(r). Let x(s) = 2*s**2. Give x(u(l)). 8*l**4 Let u(z) = 33*z + 2. Let a(h) = 526*h. Give u(a(s)). 17358*s + 2 Let m(h) be the second derivative of -29*h**3/6 - h. Let q(l) be the third derivative of -l**4/12 - 1327*l**2. Determine m(q(w)). 58*w Let y(z) = 10*z**2 - 25*z - 25. Let g(v) = v**2 - 3*v - 3. Let a(j) = 25*g(j) - 3*y(j). Let o(c) = -2*c**2. Calculate o(a(k)). -50*k**4 Let h(x) = -6*x**2. Let s(f) = 9954*f. Determine s(h(o)). -59724*o**2 Let i(k) be the first derivative of -k**2/2 - 2. Let t(q) = 3*q - 4. Let b(n) = 4*n - 5. Let p = 12 - 7. Let u(j) = p*t(j) - 4*b(j). Determine u(i(x)). x Let a(t) = -6*t**2 - 4. Let h(j) = 2950*j. Give h(a(d)). -17700*d**2 - 11800 Let k = 34 + -36. Let o(y) = -10*y**2. Let m(v) = 2*v**2. Let l(z) = k*o(z) - 11*m(z). Let p(f) = 25*f. Determine p(l(b)). -50*b**2 Let l(c) = 12*c**2 - 26*c**2 + 10*c**2 + 2*c**2. Let r(w) = 13*w. Calculate r(l(o)). -26*o**2 Let l(k) = -k + 23. Let r(n) = -22*n - 9*n + 28*n. Give l(r(y)). 3*y + 23 Let u(j) = 63*j**2 + 0 + 50*j**2 + 0 - 111*j**2. Let z(f) be the first derivative of 0*f - 2 + 0*f**2 + 19/3*f**3. Calculate u(z(t)). 722*t**4 Let x be (-8)/(-20)*10 - 0. Let c(o) = -1. Let n(i) = i + 7. Let j(d) = x*n(d) + 28*c(d). Let
{ "pile_set_name": "DM Mathematics" }
0 Suppose 839 = 5*d + 89. Solve -5*a + 170 - d = 0 for a. 4 Suppose 65*n + 60 = 69*n + 4*v, -4*n + 52 = -4*v. Solve n = 5*c - 1 for c. 3 Suppose -3*r - 280 = -7*r. Suppose 5*n = -4 + 29, 5*s - r = -5*n. Let c be ((-8)/6)/((-6)/s). Solve -c*h - 2*h = -12 for h. 3 Suppose -4*z + 3*z + 2*q - 1 = 0, 4*z - 2*q = 8. Let y be ((-3)/z)/(2 - 21/9). Solve l + y = 2*l for l. 3 Suppose 5*z + 41 = -3*k + 14, -4*z - 3*k = 24. Let o be (z + 12/16)*-12. Solve 4*s - 7 = -o for s. -5 Let c(s) = 17*s - 28. Let u be c(2). Solve -u*l + 30 = -0 for l. 5 Let x(a) be the first derivative of -a**4/4 - 2*a**3 + 7*a**2/2 - a - 3. Let g be x(-7). Let o = 2 - g. Solve 3*i = o - 15 for i. -4 Let r be 58/(-3) + 2 + (-16)/6. Let a be (-24)/r*20/6. Solve 0 = a*j - 14 - 2 for j. 4 Let n(l) = 14*l + 6. Let b be n(1). Suppose -9*c - c = -b. Solve -c*v + v + 2 = 0 for v. 2 Suppose 6*t - 8 = 2*t. Suppose x + 1 = 3*s, 2*s + 11 = x + t*x. Solve 7*u + x = 2*u for u. -1 Let m be -47*((-6 - -5) + 0) + 4. Solve 10*d - m = -1 for d. 5 Suppose 6 = -2*y - 2*z, -2*z - 3*z - 18 = 2*y. Let b = 9 + y. Solve 5*p + 0 + b = 0 for p. -2 Let g(f) be the second derivative of -f**4/12 + f**3/6 + f**2/2 - 40*f. Let p be g(0). Solve p = 3*q + 16 for q. -5 Suppose 0 = -16*b + 112 + 96. Suppose 17*t - 12 = b*t. Solve 6*d = t*d + 3 for d. 1 Let k be 50*(-11)/((-55)/2). Solve 3*q + k = -q for q. -5 Suppose 0 = -3*l + i + 323, -3*l + 255 = 5*i - 92. Solve -22*f - 1 = l for f. -5 Let a = -24 + 14. Let g(o) = -o**2 - 13*o - 5. Let w be g(a). Suppose r = 5, 0*x - 5*r + w = 4*x. Solve x = y + 4 - 3 for y. -1 Let n = -156 - -173. Solve 7*r + n + 18 = 0 for r. -5 Let y be (-2)/17 + (-16665)/(-187). Let w = -85 + y. Solve -w*o = -o - 6 for o. 2 Let d = 4 - -8. Let x = d - 10. Suppose 2*k + 3*m - 16 = x*m, -4*m = 8. Solve -2*o + k = 3 for o. 3 Let l be 15 + -10 + 1 + 0. Let b = -7 - -5. Let w = l + b. Solve 2*m - w = 6*m for m. -1 Let k be -1 + 3 - 10/(-1). Suppose -6*m + 2*m - 3*y + 23 = 0, 4*m - y - 19 = 0. Suppose -5*x + 8 = -m*g - 12, 2*x + 2*g = 0. Solve -n - x*n = k for n. -4 Suppose 3*w + g = -8, 2*g + 0*g - 6 = 5*w. Let v be w/(-7) + (-57)/(-21). Let k = v - -4. Solve 5 = 4*j - k for j. 3 Let x(b) = b + 1. Let c(k) = 7*k - 9. Let a(q) = c(q) - x(q). Let u be a(2). Solve -2*h - 4 - u = 0 for h. -3 Let p be 3 - 1 - (-7 - 0). Let k = p - 7. Solve -k*m = m for m. 0 Let n = -14 - -27. Let x(v) = v**3 - 7*v**2 - v + 13. Let r be x(7). Let w(h) = 2*h - 5. Let g be w(r). Solve 0 = -5*c - n - g for c. -4 Let x be (-1 + 27/7)*(-49)/(-14). Solve -48*a - x = -43*a for a. -2 Suppose -4*a - 5 = -9. Let w be 3/a*(-10)/(-15). Let u = -9 - -13. Solve u*j = -14 - w for j. -4 Suppose 0 = 5*j - 4*m + 39 - 149, 0 = -2*j + 4*m + 56. Suppose -j = -5*c + 7. Solve c*d = -0*d - 20 for d. -4 Let b be (-246)/(-21) + (-4)/(-14). Let r(h) = -h + 9. Let j be r(b). Let d be 2 + j + 5/5. Solve d = k - 5*k for k. 0 Suppose -q - 4*i = q - 18, 5*q - 17 = 4*i. Solve q*j - 2 = 3*j for j. 1 Let m(f) = -f**2 + 10*f + 1. Let q be m(9). Let d(u) = -2*u - 5. Let p be d(q). Let l = -22 - p. Solve l*w = -w - 8 for w. -2 Let n be 115/(3 + 2) - 4. Let z = -16 + n. Solve z*s + 2 = 14 for s. 4 Suppose -3*v = -2*v - 4*o - 22, 4*o + 12 = 0. Solve 2*y - 4*y = v for y. -5 Let w = 519 - 515. Solve w*n = 8*n - 20 for n. 5 Let u(m) = -m**2 + 44*m - 108. Let v be u(36). Solve 0 = -3*r + 165 - v for r. -5 Let k be (-13)/(-221) + (-4)/68. Solve -5*d - 20 = -k for d. -4 Let r be (-3)/(-6)*17*34/17. Solve -7*f + 10 - r = 0 for f. -1 Let u be ((-24)/(-28))/((-6)/(-28)). Suppose -4*t + 2*y - 4 = 0, -2*t + u*t = 2*y - 4. Let i(o) = -o**2 - o + 4. Let h be i(t). Solve h*b = -0 - 8 for b. -2 Suppose -2*h + 3 = h. Let x(a) = -a**3 + 5*a**2. Let t = 36 + -31. Let m be x(t). Solve m = -f + h for f. 1 Let y = 63 + -63. Suppose -l + 5 - 1 = y. Solve 5 = l*b + 1 for b. 1 Suppose -6*l + 13 = -5*l. Suppose -9*s + 2*s = s. Solve -5*n - l - 12 = s for n. -5 Let d(i) = -52*i - 1453. Let k be d(-28). Let l be 1/1*(0 - -2). Solve k*v + 10 = -l*v for v. -2 Suppose -5*t - 13 - 12 = 0. Let l = 17 + t. Let r = l - 12. Solve r = 2*m - 0*m - 10 for m. 5 Suppose 9*d + 997 = -119. Let l = d + 145. Solve l = 4*m + 1 for m. 5 Suppose -3*n + 31 = 13. Let o(l) be the first derivative of -l**4/4 + 7*l**3/3 - 7*l**2/2 + 8*l - 11. Let w be o(n). Solve 0 = -5*b + 3 + w for b. 1 Let r(o) = -32*o - 81. Let x be r(-3). Solve -15*a + 10*a + x = 0 for a. 3 Let p(s) = s**3 + 19*s**2 + 17*s - 13. Let d be ((-18)/5)/((-2)/(-10)). Let m be p(d). Solve m*o + 2 = -23 for o. -5 Suppose -35*r - 80 = -27*r. Let i(p) = -5*p**3 + p**2 - 2*p + 1. Let t be i(1). Let c = t - r. Solve 0*l - c*l = -25 for l. 5 Let v be ((-2)/(-3))/(2*(-1)/(-9)). Suppose 0 = -h - 4*k + 28, -8*h + v*h + 3*k = -71. Solve 5*q + h = -4 for q. -4 Let w = 0 - -4. Suppose 4*v = -3*f + 45, 0*v + w*v = -2*f + 26. Suppose 9*o + 8 = 11*o. Solve -o = -5*s - f for s. -3 Let g(q) = 49*q - 38. Let r be g(2). Solve -a + r = 57 for a. 3 Suppose 0 = 4*d - 6*d + 4*l + 26, 3*d = -5*l - 16. Suppose u + 3 = 5*r, -2*r + 6 = -3*u - d. Solve 0 = b - r*b for b. 0 Let f = 88 + -83. Suppose 2*v - 39 = -f*m, -5*m - 26 = 3*v - 72. Solve -v = 3*y + 5 for y. -4 Let r be 13/(-4) + 2/8. Let j(x) = -x**2 - 4*x + 1. Let h be j(r). Solve 0 = -h*b + 16 - 0 for b. 4 Suppose -1 = 3*g + 2. Let v be (g/1 - -2) + 2. Suppose 0 = -5*q - 5*a - 10, 0*a = v*q + 5*a + 14. Solve -2*r = q*r + 4 for r. -1 Suppose -3 = -3*p, 0*p + 1 = -4*g - 3*p. Let d be -4 + 6 - g - 1. Solve d = q + 3 for q. -1 Suppose -3*o + 23 = 2*b - 0*o, -3*b = 2*o - 27. Let v(g) = g**3 - 9*g**2 + 9*g + 10. Let y be v(b). Let z be (-2 - -1)*(y - 0). Solve z = -s - 4*s for s. -5 Suppose 3*y - y = 8. Suppose -1 + 6 = -n + y*v, -3*n - 2*v + 13 = 0. Solve -8 = -n*t - t for t. 2 Suppose -b = 4*q, 0*q = -b + 2*q + 6. Suppose 5 - 5 = -b*p. Solve -l - 2 = -p for l. -2 Let x(s) = 27*s - 214. Let q be x(8). Solve 0 = -5*y - 2 + q for y. 0 Let m(w) = -w - 3. Let r be m(-3). Let v be ((-35)/14)/(-1*(-5)/(-12)). Suppose -4*z - 6 = -v*z. Solve r*n = z*n for n. 0 Let q(w) = 2*w. Let c be 2/(2/3)*(-5)/(-15). Let i be q(c). Solve 10 = -2*o + i for o. -4 Let j(q) = q**3 + 10*q**2 - 4*q + 80. Let c be j(-11). Solve -5 + 11 = c*y for y. 2 Let l(o) = 15*o + 234. Let h be l(-15). Solve 1 + h = -2*u for u. -5 Let w = -21 + 27. Let t = w + -5. Let s be 32/6 + t/(-3). Solve -12 = -h + s*h for h. -3 Let v be -3 - 0/(2/2). Let u be (v + 0 + 3)/2. Suppose -2*b = 2*p, 2*p - 2*b - 20 + 4 = u. Solve 0 = -g - p*g - 25 for g. -5 Let v = -37 + 41. Let l be 2*(21/(-28) + 17/v). Solve l = -n + 2 for n. -5 Let b = 26 + -22. Suppose -22 = s - 4*s + 5*a, b*a = -2*s + 22. Solve -s = -i - 4 for i. 5 Suppose -2 + 5 = d. Suppose -3*q + k + 36 = 168, -d*q - k - 138 = 0. Let i = -25 - q. Solve 3*b + 2*b + i = 0 for b. -4 Let f = -92 + 95. Solve -f = n - 4 for n. 1 Let p be (5/((-15)/(-6)))/(-2). Let x be 578/170 - (p - 7/(-5)). Solve -4*h = -x - 13 for h. 4 Suppose 5*y + 1 = 4*s + 19, 0 = 3*y - 6. Let u be (-5)/s*(-192)/(-40). Solve 2*x + u = -2*x for x. -3 Suppose -73 = -4*o + 3*d + 1, -98 = -5*o + d. Solve 0 = 19*a - 14*a - o for a. 4 Suppose o = 2*o + 9. Let l = o - -14. Suppose -6*i + 5*i = -l. Solve 0 = c - i for c. 5 Let r be 2200/330*(-9)/(-30). Let p be (-1)/(-2) + 38/4. Suppose 5*g = 2*z - 7*z + p, -2*g + z + 10 = 0. Solve g + 6 = r*b for b. 5 Suppose 577 = 89*o - 577 - 270. Let n = 4 + -1. Solve n*y + 4 - o = 0 for y. 4 Suppose 0*w = -2*d - w + 28, -2*d = -w - 32. Suppose -4*b = -3*m - 7, -3*m + 2*b + 5 = b. Let f = 446 - 438. Solve -m*u + d = -f*u for u. -3 Suppose -36*c + 6 = -174. Solve -6*t - 13 = c for t. -3 Let b(w) be the first derivative of 3*w**2/2 - 5*w + 1. Let n be b(3). Solve -5*t + n - 9 = 0 for t. -1 Let y = -4 + 13. Solve -4*v + v = -y for v. 3 Let y(k) = k**3 + k**2 - 7*k + 3. Let z be y(2). Solve -19*r = -18*r - z for r. 1 Let r(f) = 5*f**2 + f + 1. Let k be r(-1). Suppose 3*h - 7 = k. Solve 16 = h*y - 0*y for y. 4 Suppose z + 5*r = 3*r + 27, -4*r + 29 = z. Let w be 55/z + (2 - (-22)/(-10)). Solve w = -2*a - 4 for a. -3 Let h be 0 - (0 + (-19 - (3 - 6))). Suppose -4*q + 0 = -h. Solve -4 = 3*v - q*v for v. 4 Suppose 5*t + 2*h + 12 = -h, -3*t + 16 = -4*h. Suppose t*p + p + 3*i = 0, 5*p = -5*i. Solve p*q - q = 3 for q. -3 Suppose 4*
{ "pile_set_name": "DM Mathematics" }
e -10705960 = -2*k + f. What is k rounded to the nearest 1000000? 7000000 Let h = -10290909 + 15187246. Let u = 1863483 - -932854. Let i = h - u. What is i rounded to the nearest 1000000? 2000000 Let q = -19.0000067 - -19. What is q rounded to 6 decimal places? -0.000007 Let t = -23.36796 + -64.63053. Let r = t + 88. Round r to 4 dps. 0.0015 Suppose -4*b + 670020 = 5*t, 4*t = 5*b + 224020 + 311955. What is t rounded to the nearest ten thousand? 130000 Suppose -8*u + 4*u + 5*w = -472301, -4*u = w - 472295. Suppose -2*n = -u - 83926. Round n to the nearest ten thousand. 100000 Let i = -4.25 + 4. Round i to 1 dp. -0.3 Let h = -28.667 + 0.367. What is h rounded to the nearest 10? -30 Let z be -2*5*(0 + 76). Round z to the nearest 100. -800 Let g(b) = 9*b - 28. Let o be g(-7). Round o to the nearest ten. -90 Let d = -661 + 378. Let z = d + 283.0468. Let s = z - 0.04. What is s rounded to 3 decimal places? 0.007 Let x = -4984421.00000096 - -4984418. Let p = x - -3. Round p to seven dps. -0.000001 Let m = 13 - 18. Let s = m + 10.5. Round s to the nearest integer. 6 Let t = -110.29 - -111. Let a = t - 5.81. Round a to zero decimal places. -5 Let g be 3000*((-72800)/(-12))/(-1). Round g to the nearest 1000000. -18000000 Let v = -40540 - -86640. Round v to the nearest 1000. 46000 Let j = 267 + -270.37. What is j rounded to one decimal place? -3.4 Let t = -2399.93 + 2413. Let i = t - 13. Let q = i - 1.57. What is q rounded to zero decimal places? -2 Suppose -8*p = 2140349 - 500349. Round p to the nearest ten thousand. -210000 Suppose 0 = 4*z - 390201 + 1153041. Let o = 696809 + z. Suppose -693901 = 2*u + o. What is u rounded to the nearest 1000000? -1000000 Let b = 33.9993 - 34. Round b to three decimal places. -0.001 Let n be 9600/(-2 + 4606/2300). What is n rounded to the nearest one hundred thousand? 3700000 Suppose 2*y - 784 = 76. Round y to the nearest 100. 400 Let n = 66.576 - 67. Let v = 0.4 + n. What is v rounded to two dps? -0.02 Let l = -184589.013616 + 0.013616. Let v = -184604.99965 - l. Let g = 16 + v. Round g to 4 decimal places. 0.0004 Let z be (-41400002)/9 - 6/(-27). What is z rounded to the nearest 1000000? -5000000 Suppose -4*a = 3*h + 288118, 2*h - a = -3*a - 192082. Let y = h + -3954. Round y to the nearest 10000. -100000 Let y = 54149.1748 - 1.1748. Let d = y - 54146.9999925. Let z = d - 1. What is z rounded to 6 decimal places? 0.000008 Suppose -4*g - 3*z + 6 + 3 = 0, -3*g - 12 = -4*z. Let x be (-74 - g/(-1))*1. What is x rounded to the nearest 10? -70 Let r = -0.07031 + 0.07. What is r rounded to 4 dps? -0.0003 Let k be 27991 + (-1 - 2) - -2. Suppose k = v - 0*r + 5*r, 111990 = 4*v + 5*r. What is v rounded to the nearest ten thousand? 30000 Suppose 0 = -3*p - 0*p. Let x(z) = z**2 + z + 1. Let c(s) = 3*s**2 + 2*s + 4502. Let n(j) = c(j) - 2*x(j). Let m be n(p). What is m rounded to the nearest 1000? 5000 Let y = 0.05 - 0.5. What is y rounded to the nearest integer? 0 Let w = 5 - 3. Suppose 5*o + 5*q = -35, 4*o = w*o + 4*q - 8. Let s be ((-134)/(-3))/((-4)/o). Round s to the nearest 10. 70 Let w = -0.78 - -0.8. Let g = 0.08 - w. Let c = 0.06003 - g. What is c rounded to 5 decimal places? 0.00003 Let t = 502817 + -266689. Suppose 4*w + t = -395872. Round w to the nearest 10000. -160000 Let k = -357.289042 - -356.289. Let x = k + 1. What is x rounded to five dps? -0.00004 Let r = -0.56 - -15.18. Let y = -13 + r. Let f = -0.3 + y. What is f rounded to 1 dp? 1.3 Suppose -c + 2*g = -12, 5*g + 9 = -3*c - 10. Suppose -3265 = -2*t + m, -3*t - 5*m + 8125 = c*t. What is t rounded to the nearest 100? 1600 Let p = -0.927 - -0.117. Let l = p - -0.81000053. Round l to 7 dps. 0.0000005 Let u be ((-4)/12)/((-3)/27). Suppose -2*g = -5*f + 2000006, 4*f - u*g = 1239715 + 360294. Round f to the nearest 1000000. 0 Let y = 2.8148182 - -55841.1775818. Let c = 55814 - y. Let n = -30 - c. Round n to three decimal places. -0.008 Let r = 41.9999928 + -42. Round r to five decimal places. -0.00001 Let l = -0.96 + 1.67. Let n = -0.5 + l. Round n to two dps. 0.21 Let v = -31 - -22. Let i = v - -9.000035. What is i rounded to five decimal places? 0.00004 Let u = -0.037 + -19.963. Let p = -19.97 - u. Round p to one dp. 0 Let v(p) = -178124*p**2 - 7*p - 8. Let b be (-8)/3 - (-2)/(-6). Let q be 15/2 - b/6. Let r be v(q). What is r rounded to the nearest 1000000? -11000000 Let c = -41 + -20. Let u = 60.9884 + c. What is u rounded to three decimal places? -0.012 Let b = -7.81055866 - 1.18944185. Let f = b + 9. Round f to seven dps. -0.0000005 Let i = 4 + -21. Let c = i + -22. Let v = 38.999939 + c. What is v rounded to five dps? -0.00006 Suppose -5*x - 4*v = 718, -5*v - 578 = 3*x + x. Round x to the nearest ten. -140 Let m = -32 - -31.9966. Round m to three decimal places. -0.003 Let u = 28 + -28.22. Let b = u - -0.2199955. Round b to six dps. -0.000005 Let l = 0 + -1. Let k = l + 3. Suppose u - 837726 = 3*z + 422269, -4*u = k*z + 840020. What is z rounded to the nearest one hundred thousand? -400000 Let m = 0.993 - 0.183. Let d = -3.07 - m. Let y = -0.18 - d. Round y to 0 dps. 4 Let w be 1/((-3)/300001) - 2/(-6). Round w to the nearest ten thousand. -100000 Let d = -125 + 124.9999949. Round d to six decimal places. -0.000005 Let q = 104655 + -66720. Let j = q + -37932.0013. Let p = 3 - j. What is p rounded to 3 dps? 0.001 Let m = 339 + -338.99859. What is m rounded to four dps? 0.0014 Suppose 4*z = -z + 12411070. Let j = 10782214 - z. What is j rounded to the nearest one million? 8000000 Let t = 46 + -23. Let y = t - 78. What is y rounded to the nearest 10? -60 Let j = 1.29931422 - 2.2993145. Let s = 0.15 + -1.15. Let d = s - j. What is d rounded to 7 dps? 0.0000003 Let z(s) = -6*s**2 - 3*s + 22. Let l be z(5). Round l to the nearest 10. -140 Let c = -0.021 + 0.02068. Round c to 5 dps. -0.00032 Let z = -14320 + 14310.547. Let n = z + 9.5. What is n rounded to 2 dps? 0.05 Suppose 3115625 = -5*x + 7675670. Let v = -1142179 - -714188. Let m = v - x. Round m to the nearest 100000. -1300000 Let d(l) = -l**2 + 3*l + 4. Let j be d(4). Suppose s + 5 = j, -3*m - 3*s - 308 = -4919. Suppose -m = -4*u + 778. Round u to the nearest 100. 600 Let r = 9680109518.9971 - 9679431325. Let h = 678127 - r. Let b = -67 - h. Round b to 3 decimal places. -0.003 Let i = -3 - -7. Suppose 3*m - v - 9 = 0, v = i*m + 3*v - 12. Suppose m*a - 2749 = 10151. Round a to the nearest 1000. 4000 Let s(g) = 3575284*g**2. Let d be s(1). Let w = -4724716 - d. Round w to the nearest 1000000. -8000000 Suppose 7*d - 3*d - 3600 = 0. What is d rounded to the nearest 100? 900 Let r(c) = -25*c**3 + c**2. Let g be r(1). Let k = 34 + g. What is k rounded to the nearest ten? 10 Let r = 53.75 + -55. Round r to one decimal place. -1.3 Let h = 146 + -153.1. Round h to the nearest integer. -7 Let q = 16 - 26. Let u = q - -10.0058. Round u to three decimal places. 0.006 Let r = 0.231 + -211.231. Let u = r + 211.0000147. What is u rounded to 6 decimal places? 0.000015 Let t(u) be the third derivative of -2889*u**4/4 + u**3/3 + 2*u**2. Let f be t(3). What is f rounded to the nearest 10000? -50000 Let f = -1475647778.99999966 - -1475647743. Let a = 36 + f. What is a rounded to seven dps? 0.0000003 Let t = -0.75 + -53.25. Let z = t - -54.0000021. Round z to six decimal places. 0.000002 Let p be (-1623)/(-9) + 1/(-3). Suppose 0 = -5*x + s + 110 + 70, 5*x + 2*s - p = 0. Let v = x + -53. Round v to the nearest 10. -20 Let w = 1969 - 1968.9999083. Round w to five dps. 0.00009 Let z = -3.0001 + 3. What is z rounded to 4 decimal places? -0.0001 Let d = -1.4 + -6.6. Let j = 8.031 + d. Let c = 8.231 - j. What is c rounded to the nearest integer? 8 Let o = -5.7 - -14.8. Let c = o - 9.099803. What is c rounded to five decimal places? 0.0002 Let l = -39747 - 4353. Round l to the nearest one thousand. -44000 Let o = 0.472 + -0.4. Round o to 2 dps. 0.07 Let v = -58.999963 - -59. What is v rounded to 5 dps? 0.00004 Let x = -147.99988 - -148. Round x to three decimal places. 0 Suppose 6*o = 4*o. Suppose o = u - 5, -4*d - 4*u = -0*u + 2300. Round d to the nearest 100. -600 Let v = -2485.1522 + -106506431.8478. Let r = -106508921.00000034 - v. Let j = r + 4. Round j to seven decimal places. -0.0000003 Let p = -60.2 + 8.2. Let f = -51.57 -
{ "pile_set_name": "DM Mathematics" }
me? False Is 656509 a composite number? True Is 105749 composite? True Is 2016253 composite? True Is 48071 prime? False Is 192959 a prime number? False Is 144663 composite? True Is 366257 a composite number? True Is 20671 a prime number? False Is 907 prime? True Is 5811631 composite? True Is 449099 composite? True Is 307847 composite? True Is 1167521 a prime number? False Is 76339 prime? False Is 27491 composite? True Is 12751 a composite number? True Is 1183121 composite? False Is 52034 prime? False Is 14137 a prime number? False Is 5167 a prime number? True Is 84857 a composite number? False Is 24253 a prime number? False Is 41161 a composite number? False Is 451249 prime? True Is 16789 a prime number? False Is 25867 prime? True Is 18059 a prime number? True Is 195067 composite? True Is 89497 prime? False Is 25967 a composite number? True Is 17833 a composite number? True Is 2972771 a prime number? True Is 21643 composite? True Is 16873 a composite number? 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{ "pile_set_name": "DM Mathematics" }
et p(z) = -183*z**3 - z**2. What is the lowest common multiple of p(-1) and (-28)/70*(-260)/13? 728 Let u be (-5 + 3 + 16)/2. Suppose n = 5 + u. Suppose -n*s = -s - 297. Calculate the smallest common multiple of 12 and s. 108 Let t = -5404467/7 + 769850. Let l = t + 2211. Calculate the common denominator of -187/60 and l. 420 Let o = -1189742 + 1232572605/1036. Calculate the common denominator of -109/24 and o. 6216 Calculate the common denominator of 5/351 and (-2 + 149/(-9))*27/(-90). 3510 Let l = -547 + 550. Suppose n - 112 = 2*r, -l*r + 14 = 8. Calculate the smallest common multiple of 16 and n. 464 What is the common denominator of -109/576 and 6666/5040 + 15/(-315)? 2880 Let u(l) = 4*l - 37. Let m be u(14). Calculate the lowest common multiple of (9/(-4))/(m/((-4180)/15)) and 24. 264 Suppose -18 = -5*x - 4*z, -2*x + 3*z = z - 18. Let a(i) = -x*i + i**2 + i + i - 2 - 2*i. Calculate the least common multiple of 7 and a(7). 35 Let c = -8440/4921 - -8/259. Calculate the common denominator of (3/(-2))/(830/45 - 19) and c. 190 What is the common denominator of 71/372 and ((-88)/108*-39)/(6 + (-264)/(-36))? 1860 Suppose 101*q - 260*q + 1514 = -871. Calculate the lowest common multiple of q and 19. 285 Find the common denominator of (-11 - 1 - -1) + 2119728/176960 and -61/200. 1400 Let f = -87/475 + 53261/13300. Calculate the common denominator of f and (-9093)/4330*(-15)/(-84). 56 Let x = 488650873 + -1587626701894/3249. Let h = -2/1083 + x. Find the common denominator of -137/18 and h. 18 Let g(v) = -6*v**2 + v**2 - 32 + 7*v + 16 + 21. Let d(r) = -r**2 + r - 1. Let c(h) = -6*d(h) + g(h). Calculate the smallest common multiple of 9 and c(0). 99 Let x be (-56)/(-42)*3/2. Suppose -5*v = -2*h - 456, -3*v + 0*h = x*h - 264. Calculate the smallest common multiple of v and 72. 360 What is the common denominator of 37/10 and 4/6600*-13393 + (-11 - -6 - -13)? 1650 Let i(x) = -74*x**3 + 17*x**2 + 125*x - 72. Calculate the lowest common multiple of 8 and i(-7). 50536 Let h = -3671/1161 + 171/43. Let c = -262703 + 15455868303/58834. Let k = 3677149/1412016 - c. What is the common denominator of k and h? 432 Let p(j) = -j**3 - 8*j**2 + 80*j + 204. What is the smallest common multiple of 1974 and p(-13)? 5922 Let g = -2359064277/548075 - -2/548075. Let r = -4301 - g. Calculate the common denominator of r and (2800/1925)/(1/(-2)). 11 Let t be 194/4 + 6/(-4). Let h = 51 - t. Suppose 10 = -5*d, 4*a + h*d - d - 2 = 0. What is the lowest common multiple of 3 and a? 6 Find the common denominator of ((-1122)/(-88) - 11) + 6/(-2) and 12/29 + (-2)/(-8). 116 What is the common denominator of 31 + -9 - (-24944)/(-1134) and 43/756? 2268 Let y = 77349/4 + -19347. Find the common denominator of y and -25/759. 3036 Let a = -34439093/260024352 + 2/386941. Calculate the common denominator of -47/5 and a. 3360 Let h(d) = -2*d - 6. Let w be -3*(-8)/(-84) - 8/(-28). Suppose -2*l - 2*k = -22, -3*l + 4*k - 5 + 17 = w. Calculate the least common multiple of h(-6) and l. 24 Suppose -864*f = -860*f - 3*r - 89, 0 = 2*f + 5*r + 27. Calculate the smallest common multiple of 124 - 0/((-2)/2) and f. 868 Let z = -65 + 95. Suppose 0 = 5*s + z - 140. Calculate the lowest common multiple of ((-16)/10)/(15/(75/(-2))) and s. 44 Let s = -3205 - -3765. Calculate the least common multiple of 504 and s. 5040 Let g = 176963/14 + -12647. Find the common denominator of g and 5/3052. 3052 Let p(l) = 24*l + 6. Let b be p(-4). Let r be (12/b)/((-1389)/5). Let w = -175024/20835 + r. What is the common denominator of -29/3 and w? 15 Let q = 50918/9 + -5650. Let l = -2552189/453030 + 4/15101. What is the common denominator of l and q? 90 Let o = -1/240943 - -199259885/5782632. Let n = o + -124/3. Calculate the common denominator of (-2)/7 + 807/(-140) and n. 40 Let t(y) = -y**3 - 4*y**2 + 8*y + 10. Let m be t(-4). Let b(n) = -n + 22. Let h be b(m). Suppose -h + 17 = -f. Calculate the least common multiple of 33 and f. 297 Suppose -2*y - 999 = -5449. What is the common denominator of (-6)/4*y/(-3204) and (1 - 1) + 82/(-36)? 72 Suppose 0 = -0*n - 3*n + 216. Suppose -5*k + 2*u = -3*k - 54, 5*u - 105 = -3*k. Calculate the lowest common multiple of n and k. 360 Let k = 980 + -927. Suppose 5*f - 3*s = 12 + 8, 0 = 2*f + 3*s - 29. Calculate the least common multiple of f and k. 371 Suppose 64 = 3*n - 5*r, 3*n + 5*r + 9 = -7. Calculate the least common multiple of 3440 and n. 3440 Let k be (-144)/66 + 6/33. Calculate the common denominator of -97/8 and k/(-4)*((-178)/(-6) - -4). 24 Suppose 3*n + 0*n - 4 = 2*d, -2*d - 4*n + 10 = 0. Suppose 4*y - 79 = k, -y - 4*k - 56 = -4*y. What is the smallest common multiple of 4 - (-7 - (-6)/d) and y? 20 Let y = 547 + -543. Suppose 0 = 6*g - 3*g + b - 427, -b = y*g - 571. Calculate the smallest common multiple of g and 162. 1296 Let y(u) = u + 5. Let n be y(2). Suppose n*j - 21 = -14. Suppose 0 = t + 4 - 9. Calculate the lowest common multiple of t and j. 5 Let z be ((-8606)/(-10) + -1)*5. Let u = -4875859/3 - -24443719/15. Let d = u - z. Calculate the common denominator of d and -12/11. 165 Let o = 1317799/15 - 87847. Calculate the common denominator of (276/(-225) + 1)*1 and o. 75 Let w = -387 + 3115/8. What is the common denominator of w and -41/6128? 6128 Let d = 98256171/385 - 255211. Calculate the common denominator of -46/165 and d. 1155 Let d = -1 + 7. Suppose 0*u - 3*u + d = 0. Suppose c = -3*j + 30, -7*j = -u*j - 20. Calculate the lowest common multiple of 15 and c. 90 Let y = 58202140/333 + -174781. Calculate the common denominator of y and 8/333. 333 Let g be (-451624)/(-380)*77/20958. Let x = g - -3/18962. Calculate the common denominator of -23/339 and x. 3390 Calculate the common denominator of -119/18 and (-14)/8412*12604/(-2576). 50472 Let a = 1809 + -32555/18. Find the common denominator of a and ((-2)/4)/((-6)/226). 18 Suppose -498*r = -4943 - 4021. Suppose -f + 8 = 3*f. Suppose f*b = 3*b - 44. Calculate the smallest common multiple of r and b. 396 Calculate the common denominator of -47/780 and 22/33*-26 - 21/(-3). 780 Let w = -3 - -2. Suppose 5 + 10 = -15*g. Find the common denominator of -75/44 and g/3 - w*267/72. 88 Suppose -3525 = 39*q - 46*q - 18*q. What is the lowest common multiple of q and 705? 705 Let h(l) = 8*l**3 - 5*l**2 - 18*l + 59. Let k be h(6). Let i = k + -10510/7. Find the common denominator of i and 87/238. 238 Let c = 37433 + -6138993/164. Calculate the common denominator of 127/18 and c. 1476 Let t(i) = 4*i**2 - 2*i - 2. Let s be t(3). Let r = s - 1. Suppose -5*k + r = -3*m + 2*m, 4*m = 12. What is the smallest common multiple of k and 15? 30 Suppose 0 = 4*h - 13 - 11. Suppose -h*s = -s - 30. What is the least common multiple of ((6/(-12))/((-5)/114))/(9/30) and s? 114 Let w(m) = 34*m**3 - 4*m**2 - 3*m + 19. Let h be w(6). Let z = -100773/14 + h. Let s = -6161/30 + 584/3. Calculate the common denominator of s and z. 70 Let m be (-4)/((-4)/(-2)) + 0 + 23. Suppose m = f - 7. Suppose 0 = -f*g + 23*g + 50. What is the least common multiple of g and 22? 110 What is the least common multiple of 308 and (22/(-8)*2)/(212/(-18656))? 3388 Suppose c = 3*y + y - 112, -5*c - 140 = -5*y. Let u = -32 + 40. Suppose u*l = -2*l + 120. What is the lowest common multiple of y and l? 84 Find the common denominator of (-28 - (-316290)/8540) + -1*9 and 61/98. 5978 Let p = -8946 - -8948. Calculate the lowest common multiple of 3947 and p. 7894 Let i = -50 + 31. Let d(x) be the third derivative of x**5/60 + 3*x**4/4 - 7*x**3/6 - 8*x**2. Calculate the smallest common multiple of d(i) and 58. 348 Let p = 25 - 25. Suppose p = 2*z + 11 - 3. What is the smallest common multiple of 22 and (2 - (-89 + -3)) + z/(-2)? 1056 Let q = -11 - -3. Let f = 14 + 1. What is the least common multiple of f and (27/1)/((-6)/q)? 180 Let g = 10524 + -10520. What is the least common multiple of g and 2491? 9964 Let q = -452 + 452. Suppose q = -8*x + 9*x - 6. Calculate the lowest common multiple of x and 1128. 1128 Let d = 2/6329 - -550607/50632. What is the common denominator of 5/724 and d? 1448 Let b be (-3)/2 - 466/4. Let p = -106 - b. What is the smallest common multiple of p and 4? 12 Suppose 4361 = 3*i + 4*i. Let v be (-3)/12 - (0 + i/36). Let a = v - 16/9. Calculate the comm
{ "pile_set_name": "DM Mathematics" }
value in o, a, -3? a Let b = 374 + -371. Let d be 20/150 + (-1)/(-5). What is the second smallest value in d, b, 3/4, 8? 3/4 Let m = -136.2 + 136. Let j = -35 + 51. Let g = 11 - j. What is the smallest value in -10, g, m? -10 Let l(x) = -4 - 3*x**2 - 139*x + 5*x**2 + 0*x**2 + 143*x - x**2. Let n be l(-5). Which is the smallest value? (a) -2 (b) n (c) -12/25 a Let b = 790.9 + -791. What is the second smallest value in 17/3, b, 0? 0 Let h = 40.0465 - 0.0465. Let s = 0.815 - -39.205. Let d = h - s. Which is the second biggest value? (a) 3 (b) d (c) -5 b Let m = 5 + 0.5. Let i = -39 - -44.1. Let r = i - m. What is the second biggest value in 4/7, r, -0.2, -1/4? -0.2 Let j be (-16)/(-10)*(-300)/40. Let z be 38/(-14) + (0 - j/4). Which is the third smallest value? (a) z (b) 5 (c) 0.1 b Let y = -0.14 - -0.1. Let a be 408/144 - 34/102. Let n = -0.4 - -0.4. What is the smallest value in a, y, n? y Let l = 0.1 + -0.7. Suppose 0 = 506*c + 2326*c + 31152. What is the second biggest value in l, 5, c? l Let l = -17482 - -17483.53. What is the second biggest value in 0.1, 0.08, 1, l? 1 Let p = -2.591 - -2.891. Let s = 36.9 - 37. What is the third biggest value in s, p, -3? -3 Let p = 0.6 - -2.4. Let w = -171304/5 - -34261. Let r(q) = -2*q**2 - 2*q - 4. Let n be r(-3). Which is the third biggest value? (a) w (b) n (c) p b Let n = 8504.6 - 8505. What is the fifth biggest value in 0, 35, n, 7, -1? -1 Let m = 4 - 2. Let x = 1.6935 - -2.3065. Which is the smallest value? (a) m (b) x (c) 0.2 (d) -0.4 d Let p = 0.296 + -0.725. Let o = p - -0.529. What is the second biggest value in o, -0.7, 7/4? o Let v(k) = -71*k + 480. Let h be v(7). What is the second biggest value in -0.1, h, -3/8, -1? -3/8 Let g = 4649 - 4649. Which is the second smallest value? (a) -2.98 (b) 3 (c) g c Let c = 13929.2 - 13928. What is the smallest value in 11/2, 4, -4, c? -4 Suppose d + 0*d - 22 = 0. Let p be d/4 + (-4)/8. Let t = -0.01 + -2.99. What is the smallest value in p, 0.3, t, 0.4? t Let w = 1438 - 1437.7. Let g = -5.8 + 6.8. Which is the second biggest value? (a) 0.1 (b) g (c) 3/4 (d) w c Let a = 1189/30 - 233/6. What is the smallest value in 1/4, a, -1/2, -26? -26 Let i be (-1 + (-24)/(-15))/1. Let c(b) = 195*b + 24. Let s be c(-1). Let n = s + 1879/11. What is the biggest value in -1/2, i, n? i Let u be (6 + -3)/((-2)/8 + 1). Suppose -u*p + p + f = -5, 0 = p + 4*f - 6. Suppose 5*h = 18 + p. Which is the second biggest value? (a) h (b) 0 (c) -0.4 b Let g = 0.106 + -0.186. Which is the second biggest value? (a) -0.11 (b) g (c) -0.4 a Let h = 169 + -168.95. Let b = h + -5.05. What is the second smallest value in -5/6, 2/11, b? -5/6 Suppose -2*y + 11 + 10 = -u, 0 = -5*y - 10. Let l(i) = -i**3 - 24*i**2 + 20*i - 126. Let q be l(u). What is the third biggest value in -0.1, -0.5, q? q Suppose 3*j + 2 = 11. Let w be (-1 - j)/(-1) + -3. Let o be (4/35)/w + (-4)/(-14). Which is the smallest value? (a) -0.4 (b) 1/2 (c) o (d) -2/15 a Let p be (-2 + 3)/(((-1)/(-18))/(-1)). Let n be 1 - -21*6/p. Let m be n/8*-5*3/30. Which is the third biggest value? (a) 1/15 (b) m (c) 0 c Let r = 3.05 + -0.05. Let y(i) = 254*i + 9367. Let m be y(-36). What is the second biggest value in 1/6, 0, m, r? r Let h = -21293 - -21288. Let m = 0.2 - -0.8. Which is the second biggest value? (a) -4 (b) m (c) h (d) 4 b Let z = -41/2 - -20. Let i = -230.15 - -230.06. What is the second smallest value in 0.1, z, i? i Let o(j) = j**2 + 74*j + 576. Let m be o(-9). What is the fifth smallest value in -0.1, -2, -1/3, -0.4, m? -0.1 Let z be (10/30)/((-1)/(-15)). Let f be -4 + 15/(z + -2). Which is the biggest value? (a) 0.11 (b) f (c) 1/2 (d) -3/2 b Let l = -1474.66 - -1474.7. Let t = -5 + 4.6. Which is the biggest value? (a) l (b) 4/5 (c) t b Let u = -11728 - -11733. What is the second biggest value in 1/4, 2/9, u, 2, -1.3? 2 Let o = 0.37 - -0.03. Let x = -1127 + 12391/11. What is the biggest value in o, x, 0.1, -0.3? o Suppose -3*g - 2*w + 27 = 0, -30 = w - 36. Let s be (-76)/215 + (-10)/(-25). Which is the fourth smallest value? (a) 0.4 (b) s (c) 3 (d) g d Let n = -3407 + 3409. What is the biggest value in 1/5, n, 0? n Let d be 4/(-92)*(-3)/(369/943). Let u = 737/1460 - 9/20. What is the third smallest value in u, -0.4, d, 4? d Let r = -33801/187 + 1987/11. Let m = -0.9 - 5.1. Let i = 2 + m. What is the third biggest value in r, i, -5? -5 Let a = -12.487 - -12.787. What is the second smallest value in a, -2/5, 112, -5, 1/3? -2/5 Let y be -8 - ((-113424)/595)/24. Which is the second smallest value? (a) 1.39 (b) y (c) -0.3 b Let w = 2.4 + -1.591. Let r = -0.85 + w. Let p = -3.041 - r. Which is the third smallest value? (a) -5 (b) -4/7 (c) p b Let s = -5406 + 5405. Which is the smallest value? (a) -1/4 (b) s (c) 10/17 (d) -2 d Let m = -0.724 - 28.276. Let o = 0.2596 + -0.0596. What is the second biggest value in m, 1, o? o Let g = 11.652 - 12.052. What is the second smallest value in -0.3, -5/4, -9, g? -5/4 Suppose 24 = -5*f + 9. Let s be 12/(-5)*(-115)/(-69). Let d be (-4)/8 - (-2 + 12/9). Which is the second smallest value? (a) f (b) d (c) s a Let r = 62.2 + -67. Let p = r - -4.4. Which is the smallest value? (a) p (b) -5 (c) -3 b Let p be -11 - 20/((-80)/47). Which is the biggest value? (a) -16.2 (b) p (c) 5/6 (d) 3 d Let d = 557 + -553.97. Let n = d - 0.03. Let g = 7703 - 7699. Which is the smallest value? (a) 5 (b) g (c) n c Let w = 7639.05 + -7639. What is the smallest value in 2/3, -4/5, -0.1, w, 1? -4/5 Let c be (-3408)/168 - (-2)/7. Let s be (3 - c/(-4)) + 2. Let g = -16 - -63/4. What is the third smallest value in 6, 3/7, g, s? 3/7 Let t = 1.92 - 1.87. Suppose 0 = z - 27 + 25. Which is the third smallest value? (a) z (b) t (c) 0.9 a Let l = -10243 - -40975/4. Which is the third biggest value? (a) -2/3 (b) l (c) 1 (d) 2/31 d Let u be (15/12)/((-1)/4). Let q = -43 - -73. Let z = -30.5 + q. What is the third biggest value in u, -0.3, -2, z? -2 Let d = 25439/45168 + -2/2823. Let n = -95/112 + d. What is the biggest value in n, -4/5, -27? n Let j = 2/19 + 62/133. Let m = -50.33 - -50. Let y = m - -0.53. Which is the biggest value? (a) y (b) -13 (c) j c Let x = -596.9 + 617.4. What is the smallest value in 0.1, -1/3, x? -1/3 Let i = 14000.8 - 14006. Which is the third smallest value? (a) -2/11 (b) 0 (c) 1/3 (d) i b Let i(d) = -9*d + 60. Let b be i(5). Suppose 17*l - b = 19. Let c = 0.2 + 0.3. What is the third smallest value in c, -4/9, l, -5? c Suppose 2*u - 165*b = -166*b - 8, 0 = -12*u + 5*b - 70. What is the third smallest value in -0.5, u, 5/6, 2, -0.4? -0.4 Let g = -312.2 + 307.2. What is the third smallest value in -0.1, 2/11, 301, g? 2/11 Let f = 4.99 - -0.01. Let x = 8.626 - 0.626. Which is the biggest value? (a) f (b) -0.4 (c) -3/5 (d) x d Let i = -17/3 + 31/6. Let n = -9 - -9.1. Which is the second biggest value? (a) 0 (b) 3 (c) n (d) i c Let g be (-105 - -8)/(-1 + 2). Let h = g + 94. Which is the third biggest value? (a) 2/11 (b) h (c) -5 c Suppose 0 = -5*j + 293 + 232. Let f = 10386 - 10386. Which is the biggest value? (a) -5 (b) f (c) j c Let m be 224/140*(-4)/48. What is the fourth smallest value in 97, 4, 3, m? 97 Let x be 16373/105 + 22/330. What is the fourth smallest value in -1, 3/2, x, 2? x Let l = -6033 + 6030. Which is the third biggest value? (a) l (b) 6 (c) -6/11 (d) -20 a Let s = -0.1 + 0.1. Let i = -1/46327 + -92641/602251. Which is the second biggest value? (a) -1/2 (b) i (c) s (d) -5 b Let t = 22618 + -22618. What is the fifth biggest value in t, -2.4, 14, 0.3, -0.4? -2.4 Let k be (-18)/27 - (-34)/6. Let x = k + -27. Let u = 1378 + -1376. Which is the third biggest value? (a) u (b) -1/4 (c) x c Let p = 0.9 - -4.1. Let k = 5.4 - p. Let o = -34527 + 34523. What is the smallest value in o, 5, 4, k? o Let t = 2.6 - 2.2. Let o be (32 - 44) + 183/15. Which is the third biggest value? (a) -2/21 (b) o (c) 5 (d) t b Suppose -5*v + i + 2477 = -2*v, 0 = 4*v - i - 3304. Let j be v/(-6) - 2/12. Let b be ((-1)/(-33))/((-23)/j). What is the biggest value in 0.5, 5/4, b? 5/4 Suppose -10 = 2*s + y, -63*y + 61*y = -5*s + 2. Which is the third biggest value? (a) 26/5 (b) s (c) -77 c Let l be
{ "pile_set_name": "DM Mathematics" }
014*a**3/9 + 2020*a**2/9 - 10078*a/9 + 2015/3 = 0. What is a? -3, 1, 2015 Determine n so that 2*n**3/3 + 16*n**2 + 120*n + 288 = 0. -12, -6 Determine i so that -i**4/4 - 27241*i**3/4 - 92738577*i**2/2 + 139155541*i - 92779442 = 0. -13622, 1, 2 Factor -i**2/2 + 21667*i/2 - 10833. -(i - 21666)*(i - 1)/2 Let t**4/2 + 4075*t**3 + 16491133*t**2/2 - 233277450*t + 1638552258 = 0. What is t? -4089, 14 Solve -5*u**2 + 3095*u + 67200 = 0. -21, 640 What is x in 2*x**5/11 + 98*x**4/11 - 1978*x**3/11 + 6558*x**2/11 - 4680*x/11 = 0? -65, 0, 1, 3, 12 What is g in -20*g**3/3 + 505552*g**2/3 - 1064894732*g - 425984856 = 0? -2/5, 12639 Determine m so that -m**2/7 - 264*m/7 - 6399/7 = 0. -237, -27 Let 3*h**2/7 + 393*h/7 - 1620/7 = 0. What is h? -135, 4 Solve -t**4 - 138*t**3 + 8464*t**2 = 0. -184, 0, 46 Find j, given that 3*j**2 - 9555*j - 76632 = 0. -8, 3193 Factor -a**4 - 78*a**3 + 14191*a**2 + 14268*a. -a*(a - 87)*(a + 1)*(a + 164) Solve 162*j**5 + 25452*j**4 + 398642*j**3 + 1467592*j**2 - 1549728*j + 362880 = 0 for j. -140, -9, 4/9 Suppose 46*p**5/3 - 11956*p**4/3 + 1004428*p**3/3 - 26580608*p**2/3 - 30004474*p/3 - 2407436/3 = 0. Calculate p. -1, -2/23, 59, 101 Solve -3*y**4 + 69*y**3 - 387*y**2 - 69*y + 390 = 0 for y. -1, 1, 10, 13 Determine q, given that 4*q**4/5 + 202*q**3 + 2502*q**2/5 + 496*q/5 - 200 = 0. -250, -2, -1, 1/2 Factor -l**2/2 + 114*l - 1971/2. -(l - 219)*(l - 9)/2 What is m in 2*m**4 - 548*m**3 + 10374*m**2 - 54532*m + 44704 = 0? 1, 8, 11, 254 Factor n**5/3 - 3104*n**4/3 + 12406*n**3/3 - 18604*n**2/3 + 12401*n/3 - 3100/3. (n - 3100)*(n - 1)**4/3 Find x such that -x**4 + 2*x**3 + 168*x**2 - 594*x - 3159 = 0. -13, -3, 9 Factor -4*o**2/3 + 153992*o/3 - 153988/3. -4*(o - 38497)*(o - 1)/3 Factor -3*a**2 - 588*a + 15111. -3*(a - 23)*(a + 219) Factor 5*l**3 + 520*l**2 + 2495*l + 1980. 5*(l + 1)*(l + 4)*(l + 99) Factor -4*g**3 + 290480*g**2 - 5274245312*g + 21092333824. -4*(g - 36308)**2*(g - 4) Let -4*g**4/5 - 32*g**3/5 + 628*g**2/5 - 320*g + 1008/5 = 0. Calculate g. -18, 1, 2, 7 Suppose -2*v**4/9 + 19502*v**3/9 + 58544*v**2/3 + 468448*v/9 + 312320/9 = 0. Calculate v. -4, -1, 9760 Factor z**4/4 + 293*z**3/4 - 1185*z**2/4 + 891*z/4. z*(z - 3)*(z - 1)*(z + 297)/4 Factor 91499*t**2 - 91505*t + 6. (t - 1)*(91499*t - 6) Determine r, given that -25*r**5/8 - 765*r**4/2 - 1221*r**3/8 - 61*r**2/4 = 0. -122, -1/5, 0 Suppose 3*o**2 - 75234*o - 150480 = 0. What is o? -2, 25080 Find a, given that -2*a**3/15 + 44*a**2/15 + 2696*a/15 + 1040/3 = 0. -26, -2, 50 Factor 3*q**3 + 65202*q**2 + 130392*q. 3*q*(q + 2)*(q + 21732) Solve -10966805*j**2 + 88860*j - 180 = 0 for j. 6/1481 Suppose 26*x**5 - 1893*x**4 - 12377*x**3 - 26750*x**2 - 21132*x - 3160 = 0. What is x? -2, -5/26, 79 Factor 5*q**4 + 86745*q**3 + 501037650*q**2 + 959962603500*q - 20380976595000. 5*(q - 21)*(q + 5790)**3 Factor 2*r**3 + 5934*r**2 + 35548*r + 47376. 2*(r + 2)*(r + 4)*(r + 2961) Let -3*r**2/7 - 12*r + 1287/7 = 0. Calculate r. -39, 11 Factor 2*d**3/5 - 374*d**2/5 + 17662*d/5 - 3458. 2*(d - 95)*(d - 91)*(d - 1)/5 What is u in -16875*u**4/4 - 83925*u**3/2 + 2247*u**2 - 30*u = 0? -10, 0, 2/75 Factor 30*a**2 + 4885*a + 14385. 5*(a + 3)*(6*a + 959) Let -15*a**3/2 + 879*a**2 + 726*a - 2124 = 0. Calculate a. -2, 6/5, 118 What is z in -2*z**4/15 - 188*z**3/15 - 712*z**2/15 + 752*z/15 + 192 = 0? -90, -4, -2, 2 Determine m so that -4*m**2 - 144568*m - 144564 = 0. -36141, -1 Find a such that a**2/5 - 8488*a/5 - 607689/5 = 0. -71, 8559 Factor -b**2 - 325694*b - 26519145409. -(b + 162847)**2 Suppose -14*x**5 + 752*x**4 - 5440*x**3 - 2372*x**2 + 5454*x + 1620 = 0. What is x? -1, -2/7, 1, 9, 45 Let -2*z**3 + 2547*z**2 + 6383*z - 3828 = 0. Calculate z. -3, 1/2, 1276 Factor 4*r**4 + 355148*r**3 - 355152*r**2. 4*r**2*(r - 1)*(r + 88788) Factor -3*l**2/2 - 5226*l - 321129/2. -3*(l + 31)*(l + 3453)/2 Solve -v**3 - 763*v**2 + 6152*v - 12336 = 0 for v. -771, 4 Solve -430*z**5 + 585*z**4 + 90*z**3 - 215*z**2 - 30*z = 0. -1/2, -6/43, 0, 1 Factor 2*k**3/9 - 2582*k**2/9 - 18172*k/9. 2*k*(k - 1298)*(k + 7)/9 Factor -a**3 + 7992*a**2 - 103739*a + 95748. -(a - 7979)*(a - 12)*(a - 1) Determine y, given that -2*y**4/15 + 28*y**3/3 - 24*y**2/5 - 1476*y/5 - 2898/5 = 0. -3, 7, 69 What is v in -2*v**2/5 + 69832*v/5 + 69834/5 = 0? -1, 34917 Factor -3*p**4/4 + 759*p**3/4 + 1554*p**2 + 3132*p. -3*p*(p - 261)*(p + 4)**2/4 Suppose 3*k**5/4 + 17094*k**4 - 51288*k**3 + 34197*k**2/2 + 205149*k/4 - 68385/2 = 0. What is k? -22795, -1, 1, 2 Suppose 3*w**3 - 951*w**2 - 11736*w - 35532 = 0. Calculate w. -6, 329 What is l in l**5 + l**4 - 399*l**3 - 289*l**2 + 31790*l = 0? -17, -11, 0, 10, 17 Solve 26*t**4 - 230*t**3/3 + 48*t**2 + 8*t/3 = 0. -2/39, 0, 1, 2 Determine u so that -2*u**5/7 + 58*u**4/7 + 1444*u**3/7 - 32084*u**2/7 - 367778*u/7 + 2430490/7 = 0. -17, 5, 29 Find i such that 5*i**4 - 15675*i**3 + 109520*i**2 - 125040*i - 250240 = 0. -1, 4, 3128 Determine f, given that 2*f**2/5 + 438*f - 31052/5 = 0. -1109, 14 Suppose -9*x**4 - 43688*x**3 - 53385*x**2 - 9706*x = 0. Calculate x. -4853, -1, -2/9, 0 Solve -3*v**5/5 + 52*v**4/5 + 17*v**3/5 - 430*v**2 - 4128*v/5 - 2016/5 = 0. -14/3, -1, 12 Suppose 4*q**5/5 - 136*q**4/5 - 108*q**3/5 + 3472*q**2/5 + 6704*q/5 + 3264/5 = 0. Calculate q. -4, -1, 6, 34 What is f in -f**2/2 + 70084*f - 2455883528 = 0? 70084 Factor 2*h**2/5 + 602*h/5 - 3684/5. 2*(h - 6)*(h + 307)/5 Factor 3*g**3/4 + 1377*g**2/4 + 8181*g/4 + 12231/4. 3*(g + 3)**2*(g + 453)/4 Factor 2*y**3/9 + 844*y**2/9 - 4270*y/9. 2*y*(y - 5)*(y + 427)/9 Determine p so that -2*p**2/5 - 402*p/5 + 6944/5 = 0. -217, 16 Suppose -4*h**2 - 26728*h = 0. What is h? -6682, 0 Find g, given that 2*g**5 + 812*g**4/5 - 2392*g**3/5 - 3236*g**2/5 + 2070*g - 5544/5 = 0. -84, -11/5, 1, 3 Factor j**2/2 - 823*j/2 + 73190. (j - 563)*(j - 260)/2 Determine z so that -5*z**4 + 688*z**3 + 10241*z**2 - 18664*z - 9060 = 0. -15, -2/5, 2, 151 Find d, given that 4*d**5 + 4564*d**4 + 9092*d**3 - 22804*d**2 - 27336*d = 0. -1139, -3, -1, 0, 2 What is y in 3*y**3 + 38439*y**2 - 307656*y + 615408 = 0? -12821, 4 Let 4*f**5 - 180*f**4 - 4864*f**3 - 23120*f**2 + 76800*f + 416000 = 0. What is f? -10, -4, 4, 65 Suppose -k**4 - 290*k**3 - 5769*k**2 - 32380*k - 26900 = 0. Calculate k. -269, -10, -1 Factor -a**4 + 23769*a**3 + a**2 - 23769*a. -a*(a - 23769)*(a - 1)*(a + 1) What is a in -6*a**2/5 + 170196*a/5 - 1206944934/5 = 0? 14183 Suppose o**4/3 + 677*o**3/3 + 1784*o**2 = 0. Calculate o. -669, -8, 0 Let 4*a**5 - 272*a**4 + 1776*a**3 - 4216*a**2 + 4172*a - 1464 = 0. Calculate a. 1, 2, 3, 61 Factor 3*n**4 + 3*n**3 - 198*n**2 - 108*n + 3240. 3*(n - 6)*(n - 5)*(n + 6)**2 Factor -g**3/11 - 91*g**2/11 - 810*g/11. -g*(g + 10)*(g + 81)/11 Let -4*p**3 - 77448*p**2 - 309744*p - 309728 = 0. Calculate p. -19358, -2 Suppose 4*p**5 - 5*p**4 - 79*p**3 + 20*p**2 = 0. What is p? -4, 0, 1/4, 5 Suppose -32*c**4 + 32272*c**3/3 - 8039186*c**2/9 - 16369972*c/9 - 8233682/9 = 0. What is c? -1, 2029/12 Find r, given that -2*r**4 + 24128*r**3 + 24130*r**2 = 0. -1, 0, 12065 Let 6*m**4/5 + 698*m**3/5 + 1584*m**2/5 - 1368*m/5 = 0. Calculate m. -114, -3, 0, 2/3 What is d in 32*d**5 + 55288*d**4 + 371886*d**3 + 516373*d**2/2 + 125639*d/2 + 5163 = 0? -1721, -6, -1/4 Find d such that 2*d**2/3 - 966892*d/3 + 116860017458/3 = 0. 241723 Determine l, given that 5*l**2 + 3995*l - 103000 = 0. -824, 25 Solve 3*a**5/4 - 24*a**4 + 159*a**3/4 + 309*a**2/2 + 90*a = 0. -1, 0, 4, 30 Determine b so that 3*b**3/5 - 141*b**2/5 + 972*b/5 - 1404/5 = 0. 2, 6, 39 What is l in 114*l**4 - 982*l**3 + 2962*l**2 - 3570*l + 1332 = 0? 2/3, 37/19, 3 Determine t so that 450*t**4/7 + 7410*t**3/7 + 14852*t**2/7 - 9536*t/7 + 192 = 0. -14, -3, 4/15 Let -324*y**3/5 - 12924*y**2/5 + 8512*y - 33712/5 = 0. What is y? -43, 14/9 Factor 2*u**4/11 + 8524*u**3/11 + 871582*u**2 + 1076325480*u/11 + 31888225800/11. 2*(u + 61)**2*(u + 2070)**2/11 Suppose -25*t**5 - 490*t**4 + 151089*t**3 + 394882*t**2 + 340768*t + 97440 = 0. Calculate t. -87, -1, -4/5, 70 Solve -2*r**4 - 36644*r**3 - 223809336*r**2 - 455750386780*r - 455526614086 = 0 for r. -6107, -1 Suppose 5*f**2/4 - 2095*f/4 - 30105/2 = 0. What is f? -27, 446 Solve -q**2 + 739786*q = 0. 0, 739786 Find t such that 2*t**5/5 + 88*t**4/5 - 598*t**3/5 - 46508*t**2/5 - 18176*t - 45056/5 = 0. -32, -1, 22 Determin
{ "pile_set_name": "DM Mathematics" }
3083. 1/149833083 What is 3910188 divided by 38? 1955094/19 Divide 47058450 by -13542. -3475 Divide 9011836 by -6. -4505918/3 What is 4482180 divided by -60570? -74 Calculate 1593 divided by -19827. -177/2203 Divide -683681604 by -142404. 4801 What is -2401807 divided by 190? -2401807/190 Divide 1257 by -7121. -1257/7121 -260719758 divided by 7501 -34758 What is -106679 divided by 4024? -106679/4024 -34390466 divided by 6182 -5563 Divide -15802202 by 26. -607777 What is 561 divided by -104204? -561/104204 Calculate 162638 divided by -191. -162638/191 What is -156 divided by -4000909? 156/4000909 9438815 divided by 1887763 5 Calculate -52218621 divided by -2067. 25263 Calculate -649936 divided by -196. 3316 What is 4237 divided by -70604? -223/3716 Divide -614241619 by 1. -614241619 4 divided by 1920149 4/1920149 42417 divided by -204 -14139/68 What is -2266882 divided by -133346? 17 Divide 764848048 by 4. 191212012 What is -69714075 divided by 5? -13942815 Divide 75327 by 4116. 3587/196 What is 6463395 divided by -79795? -81 25391070 divided by 90 282123 What is 37 divided by -194719? -37/194719 What is -13 divided by 2268297? -13/2268297 Calculate -53840870 divided by -10. 5384087 Calculate 54348524 divided by -1343. -40468 153 divided by 139903 153/139903 -64339303 divided by 7 -9191329 107952152 divided by 6 53976076/3 336 divided by -233664 -7/4868 Divide -8096480 by 5. -1619296 What is 22657 divided by 1158? 22657/1158 What is 1 divided by -7398000? -1/7398000 Divide -308 by -108781. 308/108781 Calculate -12116877 divided by -1153. 10509 Divide -325578000 by -48. 6782875 What is -55 divided by 181806? -55/181806 What is -23 divided by -513080? 23/513080 What is -12384057 divided by 4128019? -3 Calculate 11598516 divided by 4. 2899629 Divide 52583232 by 6. 8763872 What is -5506032 divided by -196? 28092 Divide -25 by 1456143. -25/1456143 5018089 divided by 883 5683 Divide -39014805 by -1097. 35565 Calculate -275575 divided by -29. 275575/29 563 divided by 1132981 563/1132981 Calculate -147 divided by 2293. -147/2293 What is -503077456 divided by -93128? 5402 -19096860 divided by 318281 -60 0 divided by 828596 0 Calculate -19685326 divided by 3694. -5329 Calculate 132017 divided by 21. 132017/21 Divide -4721156 by 2. -2360578 Calculate -505339503 divided by -168446501. 3 Calculate 113264928 divided by -19. -5961312 4498 divided by -1227 -4498/1227 -4953493 divided by 18 -4953493/18 Calculate -1505075172 divided by -3. 501691724 What is -1419105 divided by -1063? 1335 Calculate -141340 divided by -195. 28268/39 What is 29775992 divided by 14887996? 2 -55676943 divided by -6 18558981/2 Calculate 20 divided by 126725. 4/25345 Calculate -4874212 divided by -115. 4874212/115 Calculate 71233984 divided by 6. 35616992/3 What is 217 divided by -16399? -7/529 Divide 22 by 79862785. 22/79862785 -15703 divided by -24917 15703/24917 -189306436 divided by -44 4302419 Calculate 39642075 divided by 675. 58729 Calculate -3346 divided by -28327. 3346/28327 Divide 25388048 by -25388048. -1 What is -6 divided by -3151548? 1/525258 Divide 50482310 by 3. 50482310/3 Calculate 75823692 divided by -75823692. -1 What is 80459 divided by -3855? -80459/3855 Calculate -65347191 divided by 13. -5026707 Divide -16880 by -28746. 8440/14373 70 divided by -3174 -35/1587 Divide 5089 by 2084. 5089/2084 2508500 divided by 6 1254250/3 -8303 divided by -23284 8303/23284 Divide 3 by 11726177. 3/11726177 What is 937076795 divided by 4756735? 197 Divide -46 by -2542728. 23/1271364 -27 divided by -172626 9/57542 Calculate -11980472 divided by 213937. -56 Divide 5004186 by -83. -5004186/83 Divide 2603420 by 386. 1301710/193 What is 267106320 divided by 133553160? 2 Calculate 11094666 divided by -97. -114378 Calculate 24241440 divided by -2. -12120720 Divide -9630290 by 10445. -922 Divide 607416 by -25. -607416/25 What is 48918 divided by -182? -24459/91 What is -117735 divided by 45? -7849/3 Calculate 276172400 divided by -37100. -7444 Calculate 29021019 divided by -8. -29021019/8 Divide 3744216 by -42. -89148 -68352 divided by 2136 -32 Calculate -35541 divided by -3457. 35541/3457 -4 divided by 250296 -1/62574 What is 1170650 divided by 585325? 2 What is 13188632 divided by 11? 13188632/11 Divide -78 by -125673. 26/41891 Divide 3565922 by 223. 3565922/223 3066368 divided by -13568 -226 4 divided by -7271269 -4/7271269 176245566 divided by 12588969 14 What is -18278330 divided by -5? 3655666 Divide 395763410 by -11307526. -35 Divide 309 by -491283. -103/163761 Calculate -7989528 divided by -1438. 5556 Divide 228636 by 35. 228636/35 Divide -768 by -53957. 768/53957 Divide -46559752 by -8. 5819969 What is 204 divided by 1298? 102/649 Divide 2332 by 280290. 1166/140145 What is -711 divided by 913239? -79/101471 4286409 divided by -4 -4286409/4 Calculate -16172988 divided by 7233. -2236 -2228820 divided by 16 -557205/4 What is -2287692 divided by 381282? -6 What is 15940940 divided by -269? -59260 Calculate 29687579 divided by -802367. -37 57222054 divided by -1359 -42106 What is -69746726 divided by -51626? 1351 What is 105179232 divided by -6? -17529872 What is -9112473 divided by -337499? 27 -153904750 divided by -5 30780950 Divide -30 by -374140. 3/37414 Calculate -5098000 divided by -2000. 2549 36 divided by -7058673 -4/784297 5 divided by -12619436 -5/12619436 Calculate 15213015 divided by -15. -1014201 -22144312 divided by -2768039 8 What is -21920568 divided by 82? -267324 What is 15662310 divided by 6? 2610385 Calculate 218544404 divided by -3698. -59098 What is -197994 divided by 34? -98997/17 -340503 divided by -259 340503/259 What is 17295395 divided by -266083? -65 What is 4 divided by 38675492? 1/9668873 Divide -4333180 by -30. 433318/3 Divide 154023376 by 5923976. 26 Divide 6652569 by -341. -19509 Divide -39699060 by -2. 19849530 218042 divided by -59 -218042/59 -2105445 divided by -35 421089/7 Divide -1 by 1758578. -1/1758578 8146648 divided by -22756 -358 Calculate 3680690 divided by -23. -160030 Divide -306055100 by 20. -15302755 What is 206188 divided by -12? -51547/3 Calculate -7127296 divided by -10124. 704 Calculate 11 divided by -1050217. -11/1050217 -1 divided by 1688033 -1/1688033 Divide 3 by 301176. 1/100392 What is -621792025 divided by -14395? 43195 Calculate 5 divided by 21200505. 1/4240101 24043593 divided by -8014531 -3 Divide 3458 by 982. 1729/491 What is 446013 divided by 5? 446013/5 Divide 4177342 by 12359. 338 Divide -11984132 by 2996033. -4 Calculate -31188553 divided by 11. -2835323 Divide 20491793 by -1. -20491793 Calculate 135159586 divided by -2018. -66977 What is 62052080 divided by 15513020? 4 What is 1 divided by 1382714? 1/1382714 Divide 30489260 by -7268. -4195 What is -1 divided by 22992462? -1/22992462 -40886511 divided by 1 -40886511 Calculate -262 divided by -95689. 262/95689 -5863669 divided by -2 5863669/2 1249936 divided by 57 1249936/57 Calculate 39901040 divided by 4987630. 8 What is -122224 divided by 22? -61112/11 165 divided by 2565 11/171 What is 2756320 divided by -337? -2756320/337 Divide 1007 by -4705. -1007/4705 What is -210633720 divided by 957426? -220 Calculate 1702 divided by 20797. 1702/20797 What is 1896603 divided by -3? -632201 0 divided by -3582508 0 What is 3 divided by 1743083? 3/1743083 Divide 437527 by -2. -437527/2 Calculate -6591 divided by 12301. -6591/12301 Calculate 62775 divided by 859. 62775/859 13046640 divided by -6 -2174440 -119977 divided by 1020 -119977/1020 Calculate 2364 divided by 3628. 591/907 What is -37417600 divided by -170080? 220 Calculate -436124 divided by 6. -218062/3 Calculate 55622135 divided by -3613. -15395 Calculate -13557685 divided by -2711537. 5 Calculate 1 divided by 2074197. 1/2074197 Calculate 6915 divided by 50. 1383/10 What is -7547303 divided by 5? -7547303/5 2 divided by 25216036 1/12608018 384069 divided by 610 384069/610 What is -27798764 divided by -6524? 4261 Calculate -201336660 divided by -15. 13422444 Divide -16171652 by -4042913. 4 What is 250831 divided by -114? -250831/114 Calculate 102803 divided by 53. 102803/53 -21913074 divided by 6 -3652179 What is -64 divided by -47540? 16/11885 Divide 2955127 by 2261. 1307 -3543200 divided by 430 -8240 Calculate -353668
{ "pile_set_name": "DM Mathematics" }
*p**4 + p**4) + 4*p**3 + 2*p**5 - 4*p**3 + (4*p**2 + 3*p**2 - 6*p**2)*(-2*p**3 - p + p) + 5*p**5 - 16*p**5 - 3*p**5. -13*p**5 Expand -r**3 - 2 + 9*r - 10*r - 3*r**3 + 0 + 0 + 2*r**3 + (-2*r**2 + r**2 + 0*r**2)*(2 - 2 - r) - 3 + 3 - 2*r**3. -3*r**3 - r - 2 Expand 2*f**2 - 2*f + 11*f - 6*f + (2 - 4 + 4)*(2*f**2 - 2*f**2 + 2*f**2). 6*f**2 + 3*f Expand (1 - 2*s - 2*s + 6*s)*(-10 - 2 - 8). -40*s - 20 Expand (15*j**2 - 15*j**2 + 15*j**3)*(-j + j + j**2). 15*j**5 Expand -2*y**2 + 5*y - 5*y + (-5 + 3 + 1)*(-y**2 + y**2 - y**2) + (-10 + 3 - 2)*(-y**2 + 4 - 4) + y**2 + 0*y**2 - 5*y**2 + 4*y**2 - 3*y**2 + 0*y**2. 5*y**2 Expand (-3 + 3*b + 3)*(-3*b**3 + 5*b**3 + 0*b**3) - 4*b**4 + 2*b**4 + 0*b**4 - 3*b**4 + 0*b**4 + 4*b**4 - b**4 - 5*b**4 + 4*b**4. 3*b**4 Expand -y**3 - 3*y**3 + 5*y**3 + (5*y**3 + 12*y**2 - 12*y**2)*(7 - 2 - 3). 11*y**3 Expand -32*h**3 + 11*h**5 + 32*h**3 + (-h**4 + 3*h**4 - h**4)*(3*h - 5*h + 0*h) + 0 - h**5 + 0. 8*h**5 Expand (-p + 0 + 0)*(5*p**4 - 131*p**4 + 2*p**4). 124*p**5 Expand 5*s**3 + s**4 - 5*s**3 - 5*s**3 + (0*s**2 - 4*s**2 + 3*s**2)*(-2*s**2 + 0*s**2 + s**2). 2*s**4 - 5*s**3 Expand c**4 + 0 + 3 - 2*c**4 + (6*c - 4*c - c)*(2*c**2 - 2*c**2 + c**3) + c**4 - c**4 - 2*c**4. -2*c**4 + 3 Expand (2*i**4 - i**2 + i**2 + (4 - 4 + 2*i**2)*(-2*i + 2*i + i**2) + 4*i**4 - 4*i**4 + i**4)*(-2 - 1 + 0). -15*i**4 Expand (-2 + 2 - t**2)*(12*t - 7*t + 22*t). -27*t**3 Expand 2*d - 3*d - 2*d - 3*d - 4*d + 5*d + (0*d - d + 2*d)*(0 - 4 + 3) + d - d + 2*d. -4*d Expand (-5*j**3 + 2*j**3 + j**3)*(-20*j + 57*j + j). -76*j**4 Expand (-1 - 5 + 5)*(1 - 2 + 2)*(0*l - 5*l + 3*l). 2*l Expand (-4 + 2 + 5)*(7*u**2 - 3 + 3). 21*u**2 Expand -5*n**3 + 5*n**3 - n**3 + 3*n**3 + 2*n**3 - 4*n**3 + (-1 - 3 + 5)*(n**3 + 0*n + 0*n) + 4*n**2 - 2*n**3 - 4*n**2 + (-3 + 3 - 2)*(n**3 - 3*n**3 + 3*n**3). -3*n**3 Expand (2 + 3 - 7)*(w + 1 - 1 + 3 - 2*w - 3 + (w - w - w)*(-2 + 4 - 1) + 3*w + w - 6*w - 3 + 3 + 2*w)*(w - 5*w - 4*w). -32*w**2 Expand (-2*o**5 + 5*o**5 + o**5)*(1 + 0 - 2 + (2 + 0 - 4)*(0 - 1 + 0) + 1 - 2 - 1 - 3 + 2 + 0 + 5 - 2 + 1 + (-1 + 3 + 0)*(6 - 1 - 3)) + o**3 - 2*o**5 - o**3. 22*o**5 Expand (0*a - 5*a - a + (4*a - a - 2*a)*(0 + 2 - 1) + a - a - 2*a)*(2 + 0 + 1). -21*a Expand (1 + 3 - 3)*(4 - 5*m + 3 - 9)*(2 + 0 - 1). -5*m - 2 Expand (-9*c + 11 - 11)*(-2*c + 0*c - c). 27*c**2 Expand (3*o**3 - 5*o**3 + o**3)*(-3 + 3 + 15). -15*o**3 Expand (4 - 1 - 1)*(2 - 2*y - 2)*(-2*y + 5*y - y)*(-y**2 - 4*y + 4*y). 8*y**4 Expand 2*w**3 - 2*w**3 - 3*w**5 + (10*w**4 - 3*w**5 - 10*w**4)*(4 + 0 - 3). -6*w**5 Expand (1 + r - 1)*((-5 + 4 + 3)*(-r**2 + 3 - 3) - 2*r**2 - 1 + 1)*(-r**2 + 5*r**2 - 2*r**2). -8*r**5 Expand 3*f**5 - 2*f**5 - 2*f**5 - 5*f**5 + 5*f**5 + 8*f**5 + (2*f**3 - 3*f**3 + 2*f**3)*(0*f**2 + 0*f**2 + 2*f**2) - 2*f**5 - 3*f**5 + 3*f**5. 7*f**5 Expand (-1 + 3 + 0)*(-25*j - 21*j + 10*j). -72*j Expand z**5 + 4*z**2 - 4*z**2 - 1 + 1 - 2*z**5 + (0*z - 2*z + 0*z)*(z**4 - 3 + 3) - 3*z**5 + 2*z**5 - 8*z**5. -12*z**5 Expand -1 + 1 + 2*r**2 + (20 + 6*r - 20)*(2*r + r - r) + 0*r - r**2 + 0*r. 13*r**2 Expand (-n + 2*n - 2*n)*(-3*n + 3*n - n) - 26*n**2 - 62*n**2 + 6*n**2. -81*n**2 Expand (-x + 3*x + 0*x)*(-x**2 - x + x) - 10*x**3 + x - x. -12*x**3 Expand (0*j**2 + 4*j**2 - 3*j**2)*(-13 - j**3 + 13). -j**5 Expand -8*k + 8*k - 3*k**3 + 0*k**3 + 2*k**3 - 3*k**3 + (-2*k + 2*k - k)*(-3*k**2 + 4*k**2 - 3*k**2) + 0*k**3 - 4*k**3 + 5*k**3. -k**3 Expand (-2*f + f - f)*(-11*f + 2*f - 3*f) + (-3*f - 4*f + 4*f)*(-2*f + 0 + 0). 30*f**2 Expand (2*m + 2*m - 5*m)*(2 - 1 + 1)*(3 + 0 + 1). -8*m Expand (-2*x - 2*x + 0*x)*(-3*x - 3*x + 8*x) + (x**2 + 3*x**2 - 2*x**2)*(-1 - 3 + 5). -6*x**2 Expand (3*y - 3*y + 3*y**3)*(y**2 + 2*y**2 - 2*y**2)*(2 + 1 - 5) - 5*y**5 + 4*y**5 + 4*y**5. -3*y**5 Expand (2*h**2 - 6*h**2 + 0*h**2)*(3 - 7 + 6)*(-2 + 2 + 2*h). -16*h**3 Expand (-5*d**2 + 5*d**2 + 2*d**4)*(2 + 0 - 4) + (2*d - 6 + 6)*(3*d**3 - 6*d**3 + d**3) + 3 - 3 + d**4. -7*d**4 Expand (-3 - 2*l + 3)*(5*l**2 - 2*l**2 + 0*l**2) + (0*l**2 - l**2 + 0*l**2)*(-2*l - 4*l + 4*l) + 7*l - 7*l - 5*l**3. -9*l**3 Expand (3*s + s**3 - 3*s)*(15 - 24 - 15). -24*s**3 Expand (-1 - 1 + 1)*(-4*w - w - 6*w)*(0*w**2 + 2*w**2 + 0*w**2). 22*w**3 Expand (36*j**3 + 151*j + j**2 - 151*j)*(-2 - 2*j + 2). -72*j**4 - 2*j**3 Expand (-3 + 3 - 2)*(-2*l + 2 - 2)*(0 - 2 + 1)*(-2*l + 4*l**2 + 2*l). -16*l**3 Expand (-b**2 - 8*b**2 + 0*b**2)*(2*b**2 + 13 - 13)*(3*b - 3*b - b). 18*b**5 Expand (2*j**2 - 3*j**2 + 0*j**2)*(6 - 4 + 0) - 5*j**2 - 83 + 83 - j. -7*j**2 - j Expand 3 - 3*i - 2 + 1 + 0 - i + 0 + (0*i + 3*i - i)*(-4 - 1 + 4) + i + 4*i - 3*i + (3*i + 0*i - 2*i)*(2 + 0 - 3). -5*i + 2 Expand (-o**2 + o - 2*o**2 - 2*o)*(1485*o**2 + 38*o**3 - 1485*o**2). -114*o**5 - 38*o**4 Expand (-3*d**2 + 6 - 6)*(4*d**3 - 3*d**3 + d**3) + 3*d**5 - 4*d**5 + 2*d**5. -5*d**5 Expand (-1 + 1 - y)*(-1 - 4 - 10). 15*y Expand (-2*w - 2 + 2)*(-2 + 3 - 3 + 0 + 2 + 0 + 4 + 2 - 4 + 1 + 0 + 1 + (5 - 5 + 2)*(0 + 2 - 1) - 4 + 1 + 1 + 1 + 3 - 5) + 1 + 3*w - 1. -3*w Expand (2*z - z + 3*z)*(3 - 1 + 0)*(z**4 - 6*z**4 + 3*z**4). -16*z**5 Expand (-2*k - 3*k + 6*k)*(8*k - 5*k**2 - 8*k). -5*k**3 Expand (-139*d**2 - 9*d + 138*d**2 - 2*d)*(d**2 + 0*d - 2*d**2 - d). d**4 + 12*d**3 + 11*d**2 Expand (5*f - f - 2*f)*(-1 + 2*f + 1) + 9*f**2 + 10 - 10. 13*f**2 Expand (-t + 4*t - 2*t)*(t + 6*t + 2*t) + t**2 - 2*t + 2*t. 10*t**2 Expand 2*q**4 - 3*q**3 + 3*q**3 + (q**2 - q**2 + 2*q**2)*(-2*q**2 - 3*q**2 + 3*q**2) + 3*q**4 - 10*q**3 + 10*q**3 + (0*q**2 + 0*q**2 - 2*q**3)*(2*q + 1 - 1). -3*q**4 Expand 0*u**4 - 3*u**4 + u**4 - 3*u + 2*u**4 + 3*u + u**4 - 1 + 1 + (-4*u - 2*u + 4*u)*(-2*u + 2*u + u**3) - u**4 + 0*u**4 - u**4. -3*u**4 Expand (-5 - 2*f + 5)*(43 - 20 - 11). -24*f Expand 8*c - 8*c + 7*c + (-1 - 2 + 1)*(7 - 7 + c). 5*c Expand 3*m + 0*m - 2*m + (-1 - 1 + 1)*(2*m - 3 + 3) + m - m + 2*m + (10 - 7*m - 10)*(0 - 1 + 0). 8*m Expand 4*d**2 + 6*d**2 + 16*d**2 + (-3*d - d + 6*d)*(-3*d + 0*d + d). 22*d**2 Expand -53 + 53 + 17*i**3 + (-2 + 0 + 0)*(2*i**3 - 3*i + 3*i). 13*i**3 Expand (-2*r + 3*r + 0*r)*(-3*r + 0*r + 4*r) + (-4*r + 4*r + 7*r)*(2*r - 3*r - 1 + 0) - r**2 + 6*r**2 + 0*r**2. -r**2 - 7*r Expand (-t**3 - 2*t**3 + t**3)*(-t - t + 0*t) - 4*t**4 + 37*t**4 - 3*t**4. 34*t**4 Expand (-1 - 2*z**2 + 1)*(z + 2*z - 4*z) + z**3 + 0*z**3 - 2*z**3 + 0*z**3 + z**3 - 4*z**3 - z**3 - z**2 + 1 - 1. -3*z**3 - z**2 Expand -g**5 - 2*g**2 + 2*g**2 + (2 - 2 + 2*g)*(-2*g**2 + 2*g**2 - 2*g**4) - 3*g**5 + 3*g**5 + 10*g**5. 5*g**5 Expand (0*s**2 - 2*s**2 + 4*s**2)*(-80*s - 307 + 307). -160*s**3 Expand (13 - 13 + 17*d)*(-3*d + d + 0*d). -34*d**2 Expand (3 - 3 + h)*(4 + 0 - 3)*(2*h + 2*h - 6*h). -2*h**2 Expand (5 + 1 - 3)*(-4*z**2 + 4*z**2 + z**3)*(1 + 3 + 0). 12*z**3 Expand 2*j**2 - 2*j**2 - 3*j**3 - j + j**3 + j + (-1 + 1 - j)*(-1 + 1 - j**2) + (-5 + 0 + 3)*(2*j**2 - 2*j**2 + 2*j**3). -5*j**3 Expand 6*j**5 - 14 + 14 + (-3*j + j + 4*j)*(4*j**4 - 4*j**4 + j**4). 8*j**5 Expand (3*y**2 + 2*y**2 - 2*y**2)*(-y - 4*y + 2*y)*(0 + 2 - 1). -9*y**3 Expand (0*b**3 + 3*b**3 - b**3)*(3 - 1 + 1) + (-2 + 2 - 2*b)*(4*b**2 + b**2 - 6*b**2). 8*b**3 Expand (5 - 6 + 6)*(0*r + 3*r - 4*r)*(-3*r**2 + 5*r**2 + 0*r**2). -10*r**3 Expand (-2 + 5*v + 2)*(-2 + 3 + 3) - 2*v + 2 - 2 + 2*v - 2 + 2 + (2*v - 5*v + v)*(-1 - 3 + 5) - 3*v - v + 5*v - 3*v - 2*v + 2*v. 16*v Expand (-2*h + 0*h - h)*(h**3 - 5*h**3 + 2*h**3) + h**4 + h**4 + 2*h**4. 10*h**4 Expand (1 + 3*l**3 - 1)*(11 + 2 + 3). 48*l**3 Expand (c**2 - c**2 - c**2)*(-36*c + 31*c - 40*c). 45*c**3 Expand (-2*m**4 + 3*m**4 + m**4)*(0*m + 2*m + 0*m) + 0*m**5 + 0*m**5 - m**5 + m**5 - 18*m**4 + 24*m**4 + m**5. 5*m**5 + 6*m**4 Expand (-i**2 + 4*i**4 + i**2)*(5*i - i - 2*i) - 3*i + 3*i - i**5. 7*i**5 Expand (0*s + 2*s**2 + 0*s)*(2*s**2 + 1245*s - 3*s**2 - 1295*s). -2*s**4 - 100*s**3 Expand (-2*i - 4*i - 2*i)*(0 + 6 - 2). -32*i Expand -l**4 - 3*l**2 + 3*l**2 + (84*l**3 - 40*l**3 - 67*l**3)*(3 - 3 + l). -24*l**4 Expand (0*b - 1 + 0*b + 2*b**3)*(19 - 23 + 53). 98*b**3 - 49 Expand (l - 4 + 4)*((3 + 1 + 4)*(2 - 3 + 3) - 3 + 1 + 0). 14*l Expand (3 - 5 + 0)*(-3*b**3 + b**2 - b**2) - 6*b**3 + 7*b**3 - 4*b**3. 3*b**3 Expand 0*i - 2*i**2 + 0*i - 2*i**2 + 4*i**2 - i**2 + (-2*i - 4*i + 5*i)*(-2*i - i + 5*i) + (-44 + 8*i + 44)*(i + 0*i - 2*i). -11*i**2 Expand (6*c + 3*c - c)*(2 - 5 + 2)*(-1 + 4 - 1)*(3 + 3 - 4)
{ "pile_set_name": "DM Mathematics" }
ite number? True Suppose 542*x - 519*x = 1632655. Is x prime? False Let h(k) = 15*k - 25. Let s be h(2). Suppose 0 = -4*a - 3*o + 13739, -s*a + 2*o + 2*o = -17197. Is a composite? True Let z(h) = 19*h + 2250. Is z(47) prime? False Suppose -205 = -3*z - 199. Suppose -5*n - 895 = 5*j, -2*j - z*j = -n + 716. Let c = 766 + j. Is c prime? True Suppose x - 121559 = -5*b, 22*x - 27*x + 2*b = -607795. Is x a prime number? True Let j(l) = 28*l**2 - 2*l + 2. Let x be j(-7). Let o = x + -801. Is o a prime number? True Let q = 14521 + -1832. Is q a prime number? True Let p(u) = u**3 + 14*u**2 + 7. Let g be p(-14). Is 2/g + (-218084)/(-28) composite? False Suppose 0 = -2*s + 2*o + 25310, -5*s + 2*o = -63468 + 181. Is s prime? True Suppose 0 = 8*k - 33619 - 146261. Is (k/(-90))/((-2)/12) a composite number? False Let v(c) = -1648*c - 1301. Is v(-16) composite? True Let f(v) = 569*v - 38. Suppose 2*i + s - 9 = 0, -9 = -i - 4*s + 6. Is f(i) composite? False Let p = -293921 - -694600. Is p a composite number? False Let o(r) = 136*r - 1. Suppose 4*l + 0*l + 172 = 0. Let a be (-4)/(-10) + (l/(-5) - 1). Is o(a) a composite number? False Let g = 487 - 1914. Let d = g - -3818. Is d a composite number? True Let p = -112076 - -190879. Is p a composite number? False Let t(a) be the first derivative of -1439*a**5/120 + 2*a**3 + 11. Let u(x) be the third derivative of t(x). Is u(-1) composite? False Let s(u) = 2*u**2 - 96*u - 208. Let v(a) = -32*a - 69. Let d(i) = 2*s(i) - 7*v(i). Is d(21) composite? False Suppose -2*w + 493529 = 1763*y - 1760*y, w - 246754 = -5*y. Is w composite? False Suppose 32145*w = 32162*w - 299183. Is w a composite number? False Suppose -4*g - 303 - 673 = -2*i, 3*i = 5*g + 1463. Suppose -4*f - 66 = -4*h - i, 0 = 2*f + 4*h - 216. Is f a composite number? True Suppose -2*t + 1951 = -3*t - 3*x, -2*t - 2*x - 3882 = 0. Let o = -1047 - t. Is o prime? False Let y(a) = 3 - 4*a + 1 + 3*a + 0*a. Let f be y(4). Suppose -x - 294 = 4*k - 1140, f = -x + 2. Is k prime? True Let x = -288 - -293. Suppose 0 = 13*h - 9*h + 4*y - 17192, -2*h - x*y + 8581 = 0. Is h composite? True Suppose -10*a + 36 = -6*a + 3*q, 2*a = q + 28. Suppose 0*c = 5*c - 1270. Suppose -2*l = -2*r - c, 2*r + a = 5*r. Is l composite? False Suppose f + 0*f - 17 = c, 0 = -2*c - 2*f - 14. Let r be -3*((-20)/c + -2). Suppose 0 = -s - r, 5*s = -2*a - 81 + 1250. Is a a prime number? True Suppose -46160284 = -308*k + 95*k - 119*k. Is k a composite number? True Suppose 5*f + 5*a + 61980 = 0, 5*a - 62000 = 6*f - f. Let u = 31185 + f. Is u prime? True Suppose -a + 28 = 3*g - 3*a, -3*g + 13 = a. Let n = 1 - -3. Is n/((4/145)/(g/15)) prime? False Let n(z) = -20370*z - 8131. Is n(-23) prime? True Let p be -13 - 3/3*-1. Let q(r) = r**2 + 38*r + 167. Let k be q(-33). Is k/p - -13334*(-6)/(-72) composite? True Suppose 4*i - 5*d - 844922 - 2965426 = 0, 3*i - 2857775 = 2*d. Is i prime? True Let t(s) = 8*s**3 - s**2 - 10*s + 49. Is t(17) composite? True Suppose 118*h - 873315 = -17*h. Is h composite? False Suppose -2272 = -3*v - 2*y, -y = -3*v + 2058 + 217. Let b = v + 7989. Is b composite? False Let f(j) = 3*j**2 + 5*j - 6. Let y(d) = 13*d**2 + 21*d - 23. Let s(p) = 9*f(p) - 2*y(p). Let b be s(-4). Is (-5990)/b + (-3)/(-2) a composite number? False Let y(i) = i**2 - 19*i + 9. Let b(d) = -d**2 + 19*d - 10. Let w(h) = 5*b(h) + 6*y(h). Let q be w(18). Let j(s) = -s**3 - 11*s**2 + 15*s + 31. Is j(q) prime? True Let w = -207587 - -348304. Is w a prime number? True Let i(q) = 1194*q - 5115. Is i(61) a prime number? False Is (156/(-13))/48*(-207762 - 2) composite? False Let n(d) = d**3 + 59*d**2 + 437*d + 87. Is n(-44) composite? True Let a be (-4)/(70/(-15) - -4). Let f(o) = 57*o**3 - 9*o**2 + 25*o + 5. Is f(a) a composite number? False Suppose 69*z = -10*z - 48*z + 1034669. Is z prime? True Let k = 174 - -331. Let x = 1902 - k. Is x a composite number? True Let a(p) = 3*p**2 + 59*p - 1885. Is a(51) a prime number? False Let l = 53780 - 21058. Is l composite? True Let p = -10655 + 170038. Is p prime? False Let d = -2868 + 33302. Is d a prime number? False Suppose 0 = -5*i - 4*i + 63. Let g(q) = 220*q + 0*q - i + 8. Is g(1) composite? True Let t = 101 - 60. Suppose t*s - 37*s = 5020. Is s a composite number? True Let i(k) = k**2 - k + 1. Let v be i(-1). Suppose v*y = 7*y - 36588. Is y prime? False Suppose 6*k - 4*l = 3*k - 25, 0 = -2*k + 4*l - 10. Let o(y) = 3*y**2 - 2*y - 32. Is o(k) composite? False Is 606/404*(-1 - 539642/(-6)) a prime number? True Is (-2 - -579876)*((-6)/(-2) - 50/20) composite? False Is 9/144 + 166824270/288 a composite number? False Let l be (-28)/2*(-36)/72. Is l/(-84)*52023*(-2 - 2) prime? True Suppose 0 = -5*n + 4*f + 552043, -16*n = -11*n + f - 552033. Is n a prime number? False Let j(a) = 120*a**2 + 10*a + 13. Let p = -237 - -228. Is j(p) prime? True Let h(a) = 26 + 13*a + 122*a**2 + 253*a**2 + 0 + 8. Let v be h(-8). Suppose -13*i + 23*i = v. Is i composite? False Is ((-767587)/12)/(29/1740*-5) prime? True Suppose -43*a = -49*a + 324. Suppose -11977 = a*g - 61*g. Is g composite? True Let t = -29738 - -91099. Is t a composite number? True Suppose 0*p + 5*p = 3*c - 220, 5*c - 305 = -4*p. Let z be 6/(-4) - 82/(-4). Let l = c - z. Is l a composite number? True Suppose 16*z - 1638856 - 2292273 = -3*i, 0 = 5*z - 4*i - 1228463. Is z composite? True Let c = 20 + 856. Let i = 309 - c. Is (-1 - i)/1 + -1 a composite number? True Let d(b) = 5*b - 13. Let k be d(5). Is 146650/30 - k/(-18) composite? False Suppose -w = 2*w - 4*c + 10, w - c = -2. Suppose -m = -w*j - 995, 5*m + 2*j = 6172 - 1209. Is m a prime number? False Let r(z) = z**2 + 8*z + 19. Let w be r(-5). Suppose 5*q = -w*j + 339, -2*j + q + 117 = -70. Is j prime? False Suppose 5*i + 455 = 5*h, -i - 4*h - 1 - 115 = 0. Let t = -92 - i. Suppose t*f = f + 45. Is f composite? True Let r(m) = -3*m**2 - 30*m + 5. Let d be r(-10). Suppose 6731 = d*z - 13584. Is z a composite number? True Suppose 120 = -4*n - 44. Let q = -30 - n. Let d(g) = 20*g**2 + 8*g + 7. Is d(q) a prime number? False Let g(y) = 24*y + 8. Let s be g(4). Let b be 16/(68/s - (-5)/(-10)). Let u = 641 + b. Is u prime? False Let r = -21 + 23. Let i(g) = g**3 - 3*g**2 + g + 4. Let m be i(r). Suppose 3*h - 588 = -m*a + 2*h, -3*a - 4*h = -887. Is a prime? True Is ((31494910/20)/(-61))/((-2)/4) composite? False Is ((-8)/(-6) - 6260644/(-78)) + 14/14 composite? True Suppose 0 = -26*k + 11373150 - 2437964. Is k prime? True Suppose 269501343 = 178*x + 55993369. Is x a prime number? False Suppose -20*l + 5889867 = -3600496 - 11852817. Is l composite? False Suppose -27*j + 374519 = -26*j - 3*a, 4*j - 3*a - 1498058 = 0. Is j composite? True Suppose -3*b - 21 = 3*h, 3*h = -2*b - 3 - 16. Let t be (97*(1 - 2))/(-1). Is (-2 - b) + 0 + t a prime number? True Let q = -2587 + 4525. Let d = 4965 - q. Let p = d + -208. Is p a prime number? True Suppose 1 = -d - 3*w, 4*d + 4*w - 4 + 0 = 0. Suppose 4*g + g - d*i - 11083 = 0, 5*g + 5*i - 11055 = 0. Suppose 299 = -4*n + g. Is n a prime number? True Let m = -80 + 83. Suppose 4*p = -3*o - 9, m*o = -2*p - 0*o - 9. Suppose -3*v + 820 + 524 = -3*a, -3*a - 9 = p. Is v a composite number? True Suppose -2*c - 1177 = 3*n, 4*c - 806 = -0*n + 2*n. Suppose -j = -4*w + 3*j, -2 = -4*w + 5*j. Is (w + 1)/(5/n) a composite number? False Let i = 1393804 + -774501. Is i composite? False Let f = -384850 + 593187. Is f a prime number? True Suppose -2*r = w - 102067, 0 = -4*r + 5*w + 135245 + 68882. Is r a prime number? False Let r(b) = 12294*b + 2119. Is r(18) composite? True Let o be (611856 - 6)/((-2)/(-3)). Suppose -o = 7*v + 22486. Is 4/(-14) + v/(-49) + 2 a prime number? False Let d be 40*73/4*2. Suppose 3*j = 4*q - 873, 4*j + j + d = 5*q. Let t = 482 + j. Is t prime? False Let o(h) = 17122*h + 1229. Is o(17) composite? True Suppose 18*v - 12*v - 36 = 0. Is 616 - (7 + 1 - v) composite? True Let v(h) = -662*h + 230. Let b(u) = -1326*u + 459. Let p(n) = 3*b(n) - 7*v(n). Is p(24) a composite number? False Suppose -13*x + 15*x = 29646. Suppose 5*s + 2*q = 6717 + x, 4*q = -4*s + 17220. Suppose 5*g = 3*g + s. Is g a composite number? True Let p(x) = x + 8. Let y be p(-6). Let w be 7/1*56/49. Suppose -y*h - 2238 = -w*h. Is h prime? True Let x be (314/(-12) - (-3)/18)/(-2). Le
{ "pile_set_name": "DM Mathematics" }
prime number? False Is 63241 prime? True Is 1364287 a composite number? False Is 41011 prime? True Is 131959 a prime number? True Is 242615 prime? False Is 52747 a prime number? True Is 15819 composite? True Is 4227 a prime number? False Is 10473 prime? False Is 1053691 composite? False Is 59439 composite? True Is 125813 a prime number? True Is 4511 composite? True Is 533 composite? True Is 3599566 a composite number? True Is 394619 prime? True Is 119359 a composite number? False Is 589481 composite? False Is 6005 a composite number? True Is 7121 composite? False Is 100783 a composite number? True Is 34231 a composite number? False Is 74147 a prime number? False Is 3593 a composite number? False Is 5601 prime? False Is 54617 composite? False Is 3295 composite? True Is 14243 a composite number? False Is 77381 a composite number? True Is 2940961 composite? True Is 20329 a prime number? False Is 159694 prime? False Is 476953 composite? True Is 541 prime? True Is 427913 composite? False Is 1157 composite? True Is 12333 a prime number? False Is 12451 prime? True Is 11197 composite? False Is 525059 composite? True Is 621109 a prime number? False Is 1039 prime? True Is 404803 a composite number? True Is 3391 prime? True Is 16783 a prime number? False Is 28849 a prime number? False Is 3163 a composite number? False Is 929107 composite? True Is 739 a composite number? False Is 129581 prime? True Is 1959361 prime? True Is 43773 composite? True Is 45691 a prime number? True Is 402973 composite? True Is 2897 prime? True Is 4417 a prime number? False Is 121453 composite? False Is 42557 a composite number? False Is 14077 composite? True Is 130171 composite? False Is 2257391 a composite number? False Is 45635 composite? True Is 2479 a prime number? False Is 119557 prime? True Is 2822633 prime? False Is 8309 a composite number? True Is 9791 a prime number? True Is 1115 a prime number? False Is 8267 a composite number? True Is 5147 a prime number? True Is 366161 prime? 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True Is 71453 a composite number? False Is 26557 composite? False Is 5261 a prime number? True Is 8513 composite? False Is 400823 composite? False Is 1151 prime? True Is 59765 a prime number? False Is 244529 a composite number? False Is 1084003 prime? False Is 7831 composite? True Is 14369 a composite number? False Is 97547 composite? False Is 71503 a prime number? True Is 12007 a composite number? False Is 49783 prime? True Is 488119 a prime number? True Is 244537 prime? False Is 119785 prime? False Is 1647146 composite? True Is 441773 prime? False Is 751867 composite? False Is 1069373 prime? False Is 357839 composite? False Is 5981 composite? False Is 563 a prime number? True Is 29721 prime? False Is 49615 prime? False Is 192026 a composite number? True Is 30497 prime? True Is 780149 prime? False Is 482297 prime? False Is 22961 composite? False Is 636499 a composite number? False Is 1281937 composite? False Is 3377 a composite number? True Is 1213 a prime number? 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False Is 267617 a prime number? False Is 23417 a prime number? True Is 663683 a composite number? False Is 72115 prime? False Is 1469243 a prime number? False Is 17695 a composite number? True Is 10299 composite? True Is 258199 prime? False Is 56249 prime? True Is 63409 composite? False Is 310179 prime? False Is 4721 a prime number? True Is 7331 composite? False Is 30427 prime? True Is 13577 composite? False Is 17863 a prime number? True Is 26099 prime? True Is 30454 composite? True Is 101641 a composite number? False Is 391 a composite number? True Is 106955 composite? True Is 659899 a composite number? False Is 27361 a prime number? True Is 111049 a composite number? False Is 1959305 prime? False Is 107867 a composite number? False Is 256279 a composite number? False Is 5815 composite? True Is 29849 a prime number? False Is 237127 a prime number? False Is 614 composite? True Is 8887 composite? False Is 835513 composite? True Is 53189 a prime number? True Is 1709 a prime number? True Is 310949 a prime number? True Is 76723 a prime number? False Is 18947 composite? False Is 273687 a composite number? True Is 1897223 a prime number? False Is 285002 composite? True Is 2777 prime? True Is 345379 a prime number? True Is 1088093 a composite number? False Is 162593 prime? True Is 576019 composite? False Is 797 composite? False Is 859 composite? False Is 12631 composite? True Is 3008741 a composite number? False Is 194371 a prime number? True Is 48089 prime? False Is 8257 composite? True Is 1477559 a composite number? False Is 51109 a composite number? False Is 13439 a prime number? False Is 39826 a composite number? True Is 20287 prime? True Is 13469 composite? False Is 28241 prime? False Is 8209 prime? True Is 1116263 a prime number? False Is 7754 a composite number? True Is 1891 composite? True Is 939737 prime? True Is 24907 composite? False Is 127441 a composite number? True Is 1163 a prime number? True Is 19385 prime? False Is 8461 composite? False Is 772649 a prime number? True Is 9391 a composite number? False Is 50041 a prime number? False Is 647861 a composite number? False Is 5557 a prime number? True Is 114143 composite? False Is 479285 composite? True Is 32605 a composite number? True Is 170977 composite? True Is 253 a prime number? False Is 4271 composite? False Is 45361 a composite number? False Is 59693 prime? True Is 149585 prime? False Is 16823 a composite number? False Is 283207 a composite number? False Is 3433 a composite number? False Is 167867 a prime number? False Is 4037 prime? False Is 2766109 prime? True Is 52609 prime? True Is 701 composite? False Is 432869 composite? False Is 1777731 a composite number? True Is 26801 a prime number? True Is 825791 a prime number? True Is 5327045 prime? False Is 1643997 prime? False Is 439 prime? True Is 5333 prime? True Is 1060303 a composite number? False Is 3985 composite? True Is 146203 prime? True Is 304237 a prime number? False Is 1901222 composite? True Is 11311 a composite number? False Is 123302 a prime number? False Is 65053 prime? True Is 4265 a prime number? False Is 115361 a composite number? False Is 441023 composite? True Is 7033 a prime number? False Is 7387927 prime? True Is 1061 a prime number? True Is 26801 a prime number? True Is 20489 a prime
{ "pile_set_name": "DM Mathematics" }
4*g - 2*g = -18. Let q = g + 5. Let w be q/2*(-12)/8. Solve 2*l = l + w for l. 3 Let a(b) = b + 28. Let k be a(-13). Solve -q - 2*q = k for q. -5 Suppose p - 56 = -3*p. Let m = p + -10. Solve 0 = m*i - 3*i - 1 for i. 1 Suppose 3*t = 3*g - 6, 0 = -2*t + 7 - 3. Suppose g + 15 = l. Suppose o - 4*r + 2 + 14 = 0, 5*o = 2*r - 8. Solve 4*i - l + 3 = o for i. 4 Let c(t) = -t**2 - 5*t - 4. Let k = 0 - 4. Let y be c(k). Solve y = 2*o + 6 - 16 for o. 5 Let g be (-1)/(3*(-2)/(-66)). Let t = g + 16. Suppose n + 4*s - 21 = 0, 4*n = t*n - 2*s + 3. Solve -n*w + 8 = -w for w. 2 Suppose 3*g - 7 = -5*z, 0*g = 4*z + 2*g - 6. Solve -8 + 0 = z*q for q. -4 Let p(v) = -v**3 - 3*v**2 - 4*v - 2. Let s be p(-2). Suppose c - 3*r = -s*r + 2, -8 = -c + 3*r. Let x be ((-6)/(-15))/(c/(-5)). Solve 2*y + x + 8 = 0 for y. -5 Suppose 0 = -4*r - 3*o + 12, -8 = -2*o - 0. Suppose 40 = 5*w - 0*w. Solve -2*y = -r*y - w for y. 4 Let x = 39 - 36. Solve -x*b + 2*b = -2 for b. 2 Let t be -1 + (0 - 2*-11). Let w = t + -17. Solve 5*v + 11 + w = 0 for v. -3 Let l = 5 + -3. Let d be 3/9*l*3. Let y be (-1)/(-2)*(2 - d). Solve 4 = -c - y for c. -4 Let k(d) = 7*d**2 + 5*d + 9. Let t(a) = 3*a**2 + 2*a + 5. Suppose 0 = -4*f - f + 25. Let q(z) = f*t(z) - 2*k(z). Let h be q(0). Solve -5*b - h = -2 for b. -1 Let i be (24/(-15))/((-6)/15). Solve 0*b - b = -i for b. 4 Let x(j) = -15*j**3 - j**2 + j + 1. Let v be x(-1). Let f be 3 - (-7)/(v/(-4)). Solve -s - f + 0 = 0 for s. -1 Let j(f) be the first derivative of f**4/4 + f**3 + f**2/2 + 3*f - 2. Let g be j(-3). Solve -4*p + 8*p + 8 = g for p. -2 Let o = -20 - -20. Solve o = -2*m + m for m. 0 Let j be (2/3)/(1/3). Suppose -23 = -j*x + 1. Solve -5*v + 2 = x for v. -2 Let u(z) = z**3 + 2*z**2. Let t be u(-2). Solve y - 3 + 0 = t for y. 3 Let r = 65 + -63. Solve -c + r + 1 = 0 for c. 3 Suppose 0*s = -2*s + 36. Let k = s + -6. Solve a = 4*a - k for a. 4 Suppose -2*b - 2*b + 12 = 0. Solve 4*u - b = u for u. 1 Let v be (-4)/14 + 132/21. Let x(n) = 11*n - 1. Let m(h) = 6*h - 1. Let c(u) = -5*m(u) + 3*x(u). Let z be c(v). Solve 4*b + 0 = -z for b. -5 Let f be 1*(0 + 2) - -1. Let v be f - 0/(-2) - -14. Let m = v + -5. Solve 2*o = 4 - m for o. -4 Let v(z) = -3 - z**3 - 4*z**2 - 2*z - z - z. Let o be v(-3). Solve o*d = d for d. 0 Suppose -5*m + 8 = 4*b, 3*b - 3*m = 5 + 1. Suppose 0*r - 8 = -4*r, p - b*r + 7 = 0. Let l(y) = y + 5. Let x be l(p). Solve -x*s - 15 = 3*s for s. -3 Let i = -18 + 11. Let q(o) = -o**3 - 8*o**2 - 6*o + 9. Let a be q(i). Solve 2 + a = w for w. 4 Let d be (-44)/198 + (-364)/(-18). Solve 3*i = -i + d for i. 5 Suppose 3*r - 6*r + 37 = -4*p, 4*p = -5*r + 51. Solve 3*f - 4 - r = 0 for f. 5 Let a(v) = -5*v. Let c be a(-2). Let l = c - 2. Let d = l - 1. Solve 2*h = -d - 1 for h. -4 Let k be 3/(-3) - 1*7. Let f = -2 - k. Suppose 0 = -a - 2*v + 20, 0 = -2*a - 3*v + 10 + 25. Solve r = f*r + a for r. -2 Let f = -7 - -9. Suppose -f = -q - 0. Let t(z) = 3*z - 2. Let l be t(2). Solve -q = -l*m + 2 for m. 1 Let k = -8 - -24. Suppose 3*u = -3*a + 4*u + 14, -k = -3*a + 2*u. Suppose -4*g + 2*x = -8, 4*g - 2*g + a = -x. Solve o = -g*o + 1 for o. 1 Let w be (-320)/(-96)*(-6)/(-4). Solve 4*n - w = 11 for n. 4 Suppose -s - 2*s + 3 = 0. Solve 0 = h - s - 1 for h. 2 Let d be (-115)/(-69) - (-2)/6. Solve d - 3 = o for o. -1 Let w(a) = a**3 - a**2 + 4*a + 3. Let r be w(-2). Let s = -12 - r. Solve -s*z + 10 = -0 for z. 2 Let f be 28 + (0 - (-9)/(-3)). Solve f = 4*j + j for j. 5 Let r be 3 + (-3 - 9/(-3)). Suppose 7 = r*q + d - 2, 7 = -q + 3*d. Suppose q*b - 25 = -3*b. Solve -6 = -b*c - 1 for c. 1 Suppose -4*u - 5 = 11. Let c(r) = -r**2 - 5*r - 2. Let s be c(u). Solve t + s - 4 = 0 for t. 2 Suppose 15*o - o - 56 = 0. Solve -3*z + o - 1 = 0 for z. 1 Let f be -3 + (-2 - -10) + -2. Suppose -6 = f*h - 21. Solve 3*c - h*c - 8 = 0 for c. -4 Let f(s) = -s + 5. Let o be f(0). Suppose -3*l + 16 = 3*u - o, -3*l + 4*u - 7 = 0. Solve 0*a + l*a = 12 for a. 4 Let v be -10*10/25*-2. Solve 0 = -2*n - 0 - v for n. -4 Let f(h) = -2*h - 2. Let y be f(-3). Suppose -3*w + y = -2. Solve 0 = -w*d - 2 - 0 for d. -1 Suppose 0 = -s - 4*m + 18, 17 + 3 = 2*s + 4*m. Suppose -3*o + 3 = -s*o. Solve o*c + c + 20 = 0 for c. -5 Suppose -5*o + 2*o + 6 = 0. Let s(w) = 4*w - 9. Let u be s(6). Solve 0 = -o*v + 5*v - u for v. 5 Let g be (-10)/(-4)*20/25. Solve 0 = g*k - k + 1 for k. -1 Let k(f) = -3*f**2 + 1. Let m be k(1). Let z be -2 - (-1 - m - 3). Solve 4*n + 0*n + 12 = z for n. -3 Suppose 0 = 2*x + 3*k + 31, -2*x - k - 11 = 14. Let p = 13 + x. Solve 4 = p*w - 6*w for w. -1 Let b be (-3)/(-6) + (-18)/(-4). Suppose -7 = -5*d + 3*v + 8, -2*v = d - 3. Solve d*j = b*j for j. 0 Suppose 0 = -2*u + s + 3, 4*u + 4*s - 32 - 4 = 0. Solve 9 = -7*a + u*a for a. -3 Suppose -4 = -u - 1. Solve 0 = 2*o - 3 - u for o. 3 Let f = -2 + -3. Let j = f + 5. Solve 20 = -4*c - j for c. -5 Suppose 2*g = -4*i - 14, 3*g = -0*i + 4*i + 39. Let n = 8 + i. Solve 4 = -o + n for o. -2 Suppose x + 0 - 4 = 0. Suppose 5*f - 14 = 4*j, -5 = -x*f + 5*j + 8. Solve -f*g = -1 + 7 for g. -3 Let h = 9 - 6. Suppose 5*x - h = 22. Solve -p - x = -3 for p. -2 Let o be (-38)/(-9) - 8/36. Suppose -2 = y, 5*y = -o*u + y. Solve 4 = -2*b - u for b. -3 Suppose 3*g + 2*g = 5. Let w be 12/(-1)*(-1)/g. Let b = 2 + -2. Solve 2*h + 2*h - w = b for h. 3 Let j(r) = 6*r - 8. Let s be j(2). Solve 2*f - s*f = -6 for f. 3 Let r(t) = 39*t. Let j(z) = 8*z. Let k(n) = -24*j(n) + 5*r(n). Let q = -3 - -4. Let w be k(q). Solve -1 = -4*s + w*s for s. 1 Let j(o) = -o**2 + 4*o - 2. Let h be j(3). Solve h + 2 = -3*p for p. -1 Let f = -6 - -12. Let g = 1 + 0. Let c = -1 + g. Solve c = 3*l + 9 + f for l. -5 Suppose 0 = 4*n + 4*o - 2 - 2, -3*o = 4*n - 8. Let a = -1 + n. Solve f + a = 3 for f. -1 Suppose 2*d + 90 = -3*d. Let i be 4 - 9/(d/(-4)). Solve 0 = -i*z - z + 6 for z. 2 Suppose 0*a + 2 = a. Let y(j) = -j**2 + 7*j - 6. Let h be y(5). Let f be 6/21 + h/(-14). Solve -a*p - 11 + 3 = f for p. -4 Let t(s) = 2*s - 9. Let l(n) = -1. Let i(o) = -2*l(o) + t(o). Let g be i(5). Solve 5*r + g = -7 for r. -2 Suppose -4*y = 2*l + 2*l + 8, 5*l = -4*y - 8. Suppose l = 4*w - 5*w. Suppose f - 1 = -0*f. Solve 3*h - f + 16 = w for h. -5 Suppose -4*f + 12 = -3*f - 4*q, -3*f = 2*q + 6. Solve f = j + 4*j + 20 for j. -4 Let i = 19 - 17. Suppose -4*n = -0*n + 4. Let b be ((-54)/(2 + 0))/n. Solve 5*s = -i + b for s. 5 Let d(k) = 2*k**3 - k**2 + 4*k + 2. Let o be d(0). Solve o*w + 3*w + 25 = 0 for w. -5 Let w = 25 - 15. Let l = -7 + w. Solve l*f = -f for f. 0 Suppose -10*w + 8*w + 12 = 0. Suppose -w*f = 4*r - 2*f - 12, -4*f = -3*r + 9. Solve -r*j - 2*j = 25 for j. -5 Suppose 0 = 4*r - 7 - 9. Let a(w) = 2 - 3*w**2 - 6*w - 6 + w**3 + 3*w. Let m be a(r). Solve 8 = -2*i - m*i for i. -4 Let f = 14 - 12. Solve -f*n + 3 = -1 for n. 2 Let c be 4/14 - (-36)/21. Suppose c*f - 42 = 32. Suppose d - f = -0*d. Solve -12 = -5*i - d for i. -5 Let p be 63/14*8/(-3). Let n be (9/4)/(p/128). Let s be ((-54)/n)/((-6)/(-16)). Solve 0 = -5*t + 1 - s for t. -1 Let b be ((-2)/(-6))/(4/36). Suppose -5*g - 1 = -6. Suppose -2*h + 2 - 1 = -u, -u + g = -h. Solve 2*w = -u - b for w. -3 Let g(z) = -z**2 + 2*z**2 + 6 - 3*z - z. Let t be g(4). Suppose 2*j = 34 + t. Solve j = -i - 3*i for i. -5 Let a(b) = b - b**3 + 0*b**3 - 4*b**2 + 5*b**2 + 10. Let d be a(0). Solve 0 + d = 5*g for g. 2 Suppose -u - u + 6 = 0. Let z = -20 - -40. Solve u*m + m - z = 0 for m. 5 Suppose 5*g + 13 = -17. Let s(u) = 4*u**3 - 6*u**2 - u**3 - 3*u - 4*u**3 - 8. Let l be s(g). Solve 4*j = l + 6 for j. 4 Let l = -21 + 28. Solve 0 = l*z - 6*z + 4 for z. -4 Suppose 8*v = 5*v. Suppose 22 = 5*t + 2*c, -3*t + 2*c + 10 = -v*c. Let o = t + 0. Solve 9*s - o*s - 25 = 0 for s. 5 Suppose 0*z + z + 4*a = 9, 3*z = 3*a - 3. Suppose d - z = -4*x, 3*d - 2*x - 4 = -1. Let i(v) = -v - 1. Let q be i(-3). Solve -3 = -q*u - d for u. 1 Suppose 2*j + 2*u - 190 = -3*j, 5*j = u + 205. Suppose -2*v + 6*v - j = 0. Solve -o = o + v for o. -5 Let w(m) = -m - 5. Let t be w(-7). Suppose 6*v - 12 = 2*v. Solve 5*b + t + v = 0 for b. -1 Let s(m) be the second derivative of m**3/6 - 5*m**2 - 3*m. Let w be s(10). Suppose -2*p - 12 = -36. Solve p = -4*q - w for q. -3 Let v(c) = -2*c + 2. Let x(p) = -6*p + 5. Let h(i) = 8*v(i) - 3*x(i). Let b be h(2). Solve -b*g + 9 = -16 for g. 5 Let o be
{ "pile_set_name": "DM Mathematics" }
8*(-75)/(-40). 5/2 What is the value of (12*(-2)/(-16))/((-3)/(-6))? 3 What is the value of 1*((-2)/(-18))/(1/3)? 1/3 Evaluate (-190)/(-19)*(-1)/2. -5 ((-12)/(-39))/(24/(-12)) -2/13 What is the value of ((20/(-4))/45)/1? -1/9 What is the value of 5/(-1)*(-39)/(-39)? -5 What is ((8/(-10))/2)/((-22)/(-55))? -1 What is the value of (16/20)/((-28)/20)? -4/7 ((-42)/49)/(77/(-98)*2) 6/11 What is the value of ((-16)/(-28)*63/3)/(-2)? -6 What is (-2)/(-10)*(-900)/240? -3/4 What is the value of (-6)/((-24)/(-5))*12/30? -1/2 Evaluate (240/3080)/((-3)/42*-2). 6/11 Evaluate 0/((30/(-60))/((-1)/(-2))). 0 Calculate (-3)/(4*6/16). -2 What is the value of (-2)/2*2/(-2)*3? 3 What is ((-10)/6)/((-65)/312*44)? 2/11 Evaluate (7/(-63))/((-1)/(-6)). -2/3 (-20)/(-4)*(16/(-8))/(-2) 5 What is the value of (-16)/(-224)*4/2? 1/7 What is the value of 4/(7*(-5)/(-35))? 4 What is the value of (-12)/6*(-2)/1? 4 What is ((-328)/820)/((-2)/45*3)? 3 Evaluate (4/(140/(-7)))/(9/30). -2/3 What is the value of ((-4)/7)/((6/(-3))/1)? 2/7 What is the value of ((-56)/(-21))/(4/(-6))? -4 Calculate (-6)/3*(-15)/75. 2/5 ((-5)/(30/8))/(6/9) -2 (36*(-6)/(-120))/((-6)/(-30)) 9 Evaluate (-3)/(-1)*2/12*-2. -1 Calculate 3/10*(-50)/75. -1/5 Evaluate 20*(-2)/2*(-6)/24. 5 Calculate 120/(-420)*7/(-5). 2/5 What is 16/8*(-6)/12? -1 What is the value of ((-7)/((-105)/25))/(1/3)? 5 Evaluate (132/77)/(-4)*2/(-2). 3/7 ((8/7)/4)/(210/(-98)) -2/15 (-1*3/6)/(-4) 1/8 Evaluate (4/8)/(9/(-144)). -8 18/(-4)*108/243 -2 What is the value of (((-4)/10)/(-1))/((-20)/(-25))? 1/2 Calculate 8/6*(819/(-14))/13. -6 What is the value of ((-84)/(-45))/(-14)*-3? 2/5 Evaluate ((-2)/((-20)/(-2)))/(18/(-15)). 1/6 Evaluate 2*15*2/(-24)*-2. 5 Calculate ((-4)/(-24)*4)/(48/(-18)). -1/4 What is 14/(112/30)*1/(-5)? -3/4 Evaluate ((-14)/(-7))/28*-2. -1/7 What is (-1)/((-6)/3)*18/3? 3 (-5)/320*-4*2 1/8 What is the value of -25*3/(-20)*(-32)/12? -10 Calculate (-1*(-2)/3)/(6/(-9)). -1 What is 8/(-22)*5/170*17? -2/11 Evaluate (2/28)/((-112)/(-196))*2. 1/4 What is the value of 4/42*2*(-14)/12? -2/9 (-3)/(-9)*(-4)/32*-6 1/4 ((-18)/(-60))/(1/2) 3/5 Evaluate (8/(-6))/((-624)/104). 2/9 What is (3/4)/(((-255)/(-17))/60)? 3 Evaluate 2*-2*30/72. -5/3 What is the value of (-3)/3*(-3)/3? 1 What is the value of ((-4)/(-32))/((-10)/60)? -3/4 What is the value of 15*(28/(-168))/((-1)/2)? 5 What is ((-11)/88)/((-2)/16)? 1 Evaluate ((-180)/(-72))/(5/(-6)). -3 13/39*1/5*3 1/5 What is (10/10)/((-55)/(-10))? 2/11 What is ((-24)/16)/(12/64)? -8 (2/12)/(80/(-480)) -1 ((51/(-18))/17)/((-1)/5) 5/6 What is the value of 6*(-8)/32*(-10)/(-3)? -5 Evaluate 6*-7*1/(-7). 6 Calculate ((-102)/(-85))/(42/(-20)). -4/7 Evaluate (-8)/16*(-4)/19. 2/19 What is 15/18*20/25? 2/3 What is 1/(30/(-18))*1/(-3)? 1/5 ((0/2)/((-12)/(-6)))/(-2) 0 What is the value of -2*22/11*1/38? -2/19 Evaluate (-22)/121*-3*(-1)/(-3). 2/11 Evaluate ((-15)/(-9)*(-126)/35)/2. -3 Evaluate (1708/366)/(4/6). 7 -3*21/28*(-4)/(-3) -3 ((-15)/6)/(8/16) -5 (((-48)/4)/6)/(-2) 1 Evaluate -1*((-12)/3)/16. 1/4 Evaluate ((-117)/(-52))/((-3)/8). -6 What is the value of ((-10)/(60/18))/(6/4)? -2 What is ((-864)/(-40))/(-27)*5/22? -2/11 Evaluate (58/87)/((-2)/9). -3 What is the value of 27/(-153)*(-2)/9*-3? -2/17 ((-48)/(-48))/(10/(-2)) -1/5 Calculate (-2)/(6/(-36)*4). 3 1/(2/(-3)*-6) 1/4 48/60*10/16*2 1 (4/(-42))/((-38)/(-114)) -2/7 What is (45/(-2))/5*(-112)/168? 3 Calculate 1/(((-5)/(-25)*-2)/(-2)). 5 Calculate ((-6)/(-4))/(91/26)*14. 6 Calculate 3*5*-5*(-5)/75. 5 Calculate 3*(-2)/12*3*2. -3 What is 7/(((-12)/3)/(-4))*-1? -7 What is ((-484)/44)/(-3*3/(-9))? -11 What is (-2)/(-10)*(-272)/(-68)? 4/5 Calculate (-8)/(-6)*(-378)/(-252). 2 What is 2*(-15)/(-6)*34/(-425)? -2/5 What is the value of ((4/(-16))/1)/(3/(-36))? 3 What is 225/(-60)*(-12)/(-9)? -5 Evaluate 208/260*(-5)/(-2). 2 Evaluate 2/14*273/78*-6. -3 (4/14)/(36/63) 1/2 What is (2/(2/2))/((-20)/(-10))? 1 What is the value of (6/9)/((-54)/(-648))? 8 What is 368/69*3/2? 8 (16/20)/(-3*3/(-45)) 4 325/(-65)*(-2)/(-2)*1 -5 What is the value of (-11)/528*15/(-5)? 1/16 What is (11*(-4)/(-110))/((-2)/20)? -4 What is the value of (94/(-705))/((-6)/(-10))? -2/9 What is the value of (198/(-330))/((-1)/5)? 3 What is (42/6)/147*-9? -3/7 Evaluate 6/9*(-27)/63. -2/7 What is (9/15)/(2862/(-2120))? -4/9 What is 27/(-135)*-15*1? 3 What is the value of (-3)/(-1)*6/18? 1 (4/(-14))/((-5)/(20/4)) 2/7 Evaluate 10*((-36)/(-450))/(2/(-10)). -4 What is 0/(2*5/(-5))? 0 Evaluate ((-9)/(1980/(-8)))/((-2)/(-10)). 2/11 Calculate -10*(-7)/(175/15). 6 Evaluate 1/((-45)/(-75))*(-24)/(-5). 8 What is (5*2/20)/((-9)/6)? -1/3 Evaluate (-82)/(-164)*0/1. 0 What is -3*(8/(-2))/4? 3 What is the value of (20/(-8))/((-10)/20)? 5 Evaluate 5/(-40)*(-248)/(-31). -1 Evaluate 1/(-39)*18/(6/2). -2/13 What is the value of (2/(-6))/1*171/(-152)? 3/8 What is ((64/20)/(-4))/((-2)/(-5))? -2 Calculate (-77)/21*(-12)/(-4)*-1. 11 What is the value of (2*2/(-4))/((-8)/32)? 4 Calculate (12/9)/((-20)/6). -2/5 What is the value of 36/81*-2*6/(-4)? 4/3 Evaluate ((-6)/8)/((-54)/(-36)). -1/2 Calculate 18/(-6)*8/3. -8 What is (-65)/(-52)*2*(-1)/10? -1/4 What is the value of (60/(-70))/((81/(-21))/3)? 2/3 Calculate -5*(-17)/(255/18). 6 Evaluate 4/(-5)*2/8. -1/5 What is ((-3)/18)/((-53)/1908)? 6 Calculate 15*((-2)/8)/(3/(-4)). 5 What is (9/10)/3*56/(-21)? -4/5 Calculate (5*-5)/(310/(-124)). 10 Evaluate (8/14)/(22/77). 2 What is the value of ((-3)/1)/(((-27)/4)/9)? 4 (4/4)/((-9)/63) -7 (15/165)/(4/(16/4)) 1/11 15/(-10)*44/(-297) 2/9 What is 4/2*(-162)/(-108)? 3 ((-36)/(-8))/(6/(-8)) -6 (1/(-3))/(1/20*5) -4/3 What is the value of (-2)/((3/(-9))/((-3)/(-27)))? 2/3 Evaluate ((-6)/(-117))/(2*(-3)/18). -2/13 Evaluate ((-2)/(-30)*5*15)/(-1). -5 What is 8/(-6)*27/63? -4/7 What is (-3)/(-54)*(-4)/(-1)? 2/9 Evaluate (-10)/6*(-6)/2. 5 0/(-11)*(6/2)/(-6) 0 What is the value of 2*6/(-5)*720/(-192)? 9 (2/(-4))/(6/18*1) -3/2 What is ((-3)/(-9))/(7/(-336)*4)? -4 What is the value of 1/(2*-4*2/(-16))? 1 (2/(-2))/(2/((-42)/3)) 7 What is the value of 108/1008*8/3? 2/7 24/(-30)*(-5)/42 2/21 Calculate ((-3)/(-21))/((-5)/(35/(-2))). 1/2 What is 10/12*9/(-60)*3? -3/8 (-1*(-30)/(-12))/(5/(-2)) 1 Evaluate 13/(-13)*(-24)/8. 3 Evaluate (-40)/(-15)*9/(-44). -6/11 Evaluate ((-30)/18)/(7/(-21)). 5 (0/(-15))/(-5)*1/2 0 2376/132*1/2 9 ((-7)/(-14))/(15/6) 1/5 What is 42/(-36)*4/(-14)? 1/3 What is the value of (((-30)/4)/3)/(5/10)? -5 (-6)/8*40/(-210) 1/7 Evaluate (-20)/(-2)*5/(-50)*4. -4 Evaluate ((-3)/(-10))/((-2)/(-4)*-3). -1/5 What is (12/(-22))/(7/77)? -6 5/(-2)*(-8)/10 2 What is 1/21*3*(-14)/20? -1/10 Evaluate 4*5/(-30)*1. -2/3 What is ((-5)/(-15))/((-4)/3)? -1/4 What is ((-120)/36)/((-22)/33)? 5 ((-40)/(-14))/((-86)/301) -10 What is (2/(20/(-2)))/(12/(-5))? 1/12 What is the value of (32/((-56)/(-7)))/(5/(-5))? -4 Calculate ((-15)/((-36)/(-12)))/(2/(-2)). 5 Calculate 5/(-4)*33/(660/80). -5 Calculate ((-246)/(-1476))/(((-6)/8)/3). -2/3 Calculate (-540)/225*1/((-2)/5). 6 What is 2/(((-35)/10)/7)? -4 Calculate ((0/1)/((-6)/3))/(-2). 0 What is 5/((-2*1)/(12/6))? -5 What is the value of (-52)/13*(-1)/(-2)? -2 What is the value of 1/(-20)*-4*3? 3/5 Calculate ((-1)/4)/(5/40*6). -1/3 What is the value of (-1)/((-2)/1)*-2? -1 Evaluate ((-16)/24*6/4)/(-1). 1 What is the value of ((-9)/21)/((-4)/(-14))? -3/2 What is the value of (-5*1)/((-430)/(-172))? -2 Evaluate (45/(-60))/((-18)/32)*-3. -4 Evaluate (((-66)/(-144))/(-11))/((-5)/20). 1/6 What is (48/(-416))/((27/(-12))/(-3))? -2/13 Calculate 15/50*-4*20/6. -4 Calculate 10*(-7)/(-14)*(-2)/(-15). 2/3 Calculate 22/(-22)*(-2)/8*12. 3 (-5)/(-25)*(-400)/64 -5/4 What is the value of 20/330*11*18/(-4)? -3 Calculate (2/3)/((-14)/105). -5 Calculate (11/66*3)/(3/2). 1/3 Calculate (-72)/48*1/3. -1/2 What is the value of 2/15*(-40)/24? -2/9 Calculate (-3*1)/(90/150). -5 Evaluate 40/(-600)*5/(-2). 1/6 What is the value of 2/(-20)*(-100)/5? 2 What is the value of 6*-1*(4/18)/(-2)? 2/3 Calculate 7/315*-5*-9. 1 What is 1/(10/(-5))*2? -1 Calculate -3*((-40)/(-12))/2. -5 Calculate 4/4*0/5. 0 Evaluate (-6)/(-8)*52/13. 3 Calculate (6/(-20))/((-15)/150*15). 1/5 What is (-8)/(-10)*(-135)/18? -6 What is the value of (4/((-16)/(-12)))/(15/20)? 4 (-9)/(-1)*2*4/(-168) -3/7 Calculate (10/2)/(-5*12/60). -5 Evaluate (2/6)/(((-3)/(-1))
{ "pile_set_name": "DM Mathematics" }
l(o)? 7 Let d(h) = 6851*h**2 - 91*h - 168. What is the ten thousands digit of d(-2)? 2 Suppose -2*h = 4*g - 2, 7*g - 4*g = 4*h - 4. Suppose -7560 = -36*a - g*a. What is the hundreds digit of a? 2 Suppose 0 = d - 4*l - 40999, -d - 4*l + 164136 = 3*d. What is the units digit of d? 7 Suppose 0 = -l + 5*l. Suppose l = -4*m + 27 + 17. Suppose -444 = -m*j + 5*j. What is the tens digit of j? 7 Let p(u) = -16*u**2 - 3*u. Let d be p(2). Let c = d - -73. Suppose 0*l + l - 234 = -4*s, 2*s - c*l - 110 = 0. What is the units digit of s? 8 Let j(t) = 6815*t + 5488. What is the units digit of j(5)? 3 What is the tens digit of ((-56948)/(-8))/(34/68)? 3 Let u = 42711 - 18185. What is the units digit of u? 6 Let f(c) = -2*c - 29. Let t be f(-17). Suppose -1204 = -25*k + 23*k - 4*j, -k = -t*j - 581. What is the units digit of k? 6 Let v(r) = -r**3 + 67*r**2 - 12*r + 190. What is the tens digit of v(65)? 6 Suppose -3715*p + 277618 = -3693*p. What is the hundreds digit of p? 6 Let o(r) = -58*r - 74. Let y be 2/(5/60*(3 - 5)). What is the hundreds digit of o(y)? 6 Suppose -2*k = -139 - 1. Let q = k - 68. Suppose s = q*u - 369, -4*s = -4*u + s + 723. What is the units digit of u? 7 Let r = 282 + -271. Let n = r + 601. What is the tens digit of n? 1 What is the thousands digit of 213/(1205/(-151) + 8)? 0 Let i be (-2 + 5)*(-5)/(75/(-3755)). Let x = i + -396. What is the tens digit of x? 5 Let q = 83624 + -47346. What is the thousands digit of q? 6 Let m be (-2)/(-32) + 835171/464. Suppose g + 32 = 3*g. Suppose g*y - 7*y - m = 0. What is the tens digit of y? 0 Let o be 4/(-30) + 1 + (-2031)/(-45). Suppose 0 = -o*w + 52*w - 1968. What is the tens digit of w? 2 Suppose -2*b - 2*b - 3*s = -27160, -s + 20370 = 3*b. What is the hundreds digit of b? 7 Let o(j) = 2*j**2 - 24*j + 77. Let u(k) = 26*k - 220. Let b be u(9). What is the units digit of o(b)? 3 Let o be (176/33)/(16/5352). Let b = 3431 - o. What is the units digit of b? 7 Suppose 3*x - 27 = -0*x. Let j(v) = -v**3 + 8*v**2 - 15*v - 12. Let z be j(x). Let l = 361 + z. What is the units digit of l? 3 Suppose -4*l = 3*w - 16760, 4*l - 2*l + 3*w = 8386. What is the tens digit of l? 8 Let o(u) be the second derivative of 17*u**4/8 - u**3/3 + 17*u**2/2 + 10*u. Let d(f) be the first derivative of o(f). What is the hundreds digit of d(3)? 1 Let u(j) = 3*j**2 + 19*j + 101. Let k(w) = -w**2 - 3. Let d be k(-3). What is the units digit of u(d)? 5 What is the units digit of -96*(-6 + -5 - -13)/((-16)/6)? 2 Let j(u) = 8*u**3 - 7*u**2 - 4*u + 56. Let h(t) = -23*t**3 + 20*t**2 + 11*t - 166. Let p(o) = -6*h(o) - 17*j(o). What is the tens digit of p(0)? 4 Suppose 2*c + 206093 = 4*m - 96303, -c = -4*m + 302400. What is the ten thousands digit of m? 7 Let g be (13/(-11) - (-4)/22)*-255. Let i = 130 + g. What is the hundreds digit of i? 3 What is the thousands digit of 1/(-2) + (10/125 - (-4312989)/450)? 9 Let s(o) = 1780*o**2 + 175*o + 346. What is the tens digit of s(-2)? 1 Let b(d) = -d**2 - 16*d - 19. Let j(l) = -11*l - 2. Let i be j(-5). Suppose -3*k = 4*c + i, -58 - 14 = 5*c - 2*k. What is the units digit of b(c)? 9 Suppose 0 = -28*c - 0*c + 56112. Suppose -15*i = 4*l - 11*i - c, -4*i = 3*l - 1506. What is the units digit of l? 8 Suppose 0 = 2*b - 2 - 2. What is the units digit of ((-456)/3 + b)*36/(-24)? 5 Let l(v) = 6*v**2 - 13*v - 12. Let n be l(-1). Suppose 376 = n*x - 3*x. What is the tens digit of x? 9 Let p be 3*10/6*(-3)/(-5). Let o be 2/(6/p) + 3 + -5. What is the tens digit of (-31 - 0)/(o/2)? 6 Let a = 2484 + -2412. Let m = 3 - 5. What is the units digit of m - (2 - ((-2)/(-1) + a))? 0 Let l = -76031 + 108200. What is the tens digit of l? 6 Let l(o) = o**2 + 20*o + 98. Let b be l(-9). Let p(h) = -187*h**3 - h**2 - 4*h - 2. What is the units digit of p(b)? 8 Let i = 40678 + -9156. What is the tens digit of i? 2 What is the hundreds digit of (-2 - 272/(-85))/(2/445)? 2 Let r = 7019 - 3861. What is the units digit of r? 8 Let l(a) = -6*a**2 + 6*a - 2. Let t be l(-12). Let m = -245 - t. What is the hundreds digit of m? 6 Let p(y) = -2*y - 14. Let g be p(-9). What is the units digit of (g - 4) + (-206)/(-2) - 1? 2 Let x(g) = -11*g**3 - 6*g**2 - 10*g + 17. Let h(n) = 5*n**3 + 3*n**2 + 4*n - 9. Let w(u) = 5*h(u) + 3*x(u). What is the hundreds digit of w(-5)? 9 Let o(i) = i**3 + 11*i**2 + 3*i - 25. Let d be o(-11). Suppose 0 = -c - 3*c + p + 483, 4*c + 3*p = 487. Let l = c + d. What is the tens digit of l? 6 Let v be (-3)/2*(-340)/51. Suppose v*u - 2627 = 653. What is the hundreds digit of u? 3 Let z = -9 - -38. Let f(v) = 240*v + 6487. Let m be f(-27). Let h = z - m. What is the tens digit of h? 2 What is the units digit of ((-786)/10 - (-5 - -2))*(-1160)/16? 1 Suppose -7*p = -0*p - 28. Suppose p*i + 128 = w, -3 = -3*i + 12. What is the units digit of w? 8 Let q = 3534 + -2141. Suppose 5*a + w = 1763, 13*a - 9*a - 5*w - q = 0. What is the tens digit of a? 5 What is the thousands digit of (-1 + 186)/((-6664)/742 - (-4 - 5))? 9 Suppose 0 = -5*x + m + 86749, -3*m = 188*x - 189*x + 17333. What is the hundreds digit of x? 3 Suppose p = 147*f - 152*f + 5478, 4*p - 21981 = 3*f. What is the thousands digit of p? 5 Suppose -147*s + 74178 = 172*s - 293*s. What is the thousands digit of s? 2 Suppose -110236 = -3*v + 5*z, -3*z - 36756 = 26*v - 27*v. What is the hundreds digit of v? 7 Let c(y) = 104*y**3 - y**2 + 2*y + 1. Let o be c(-1). Let t = 235 + o. Let f = 230 - t. What is the units digit of f? 1 Let v(y) = 12*y**2 - 4*y - 27. Let z be v(-5). Let w = z + 174. What is the hundreds digit of w? 4 Let z(m) be the first derivative of 5*m**3/3 + 3*m**2 - 2*m + 381. Suppose -b - 4*o = -13, -2*o + 2 = -6. What is the units digit of z(b)? 5 Let o = -4161 - -11643. What is the hundreds digit of o? 4 Suppose 54*b = 57*b - 5544. Suppose 7*p - 3*p = b. Suppose 5*c = -10, -3*u - c + 19 = -p. What is the hundreds digit of u? 1 Let b be (-10)/14 + 1 + (-2)/7. Suppose -l = d + 4, b = -d - 5*l + 12. What is the units digit of 1*(2/d - (-3501)/36)? 7 Suppose 9*l = -25 - 47. Let j be l/(-68)*987 + (-6)/51. Suppose 0 = q + 4*f - 16, -3*q = -6*f + f - j. What is the tens digit of q? 3 Suppose 0 = -2*q - 2*i + 322 + 698, 3*q - 1530 = 3*i. Let z = q + -167. Suppose 15*k - z = 47. What is the tens digit of k? 2 Suppose -3*a + 11326 = 4*u - 8637, 5*u = 5*a - 33225. What is the tens digit of a? 4 Suppose 11*r + r = -12408. Let a = -397 - r. What is the hundreds digit of a? 6 Suppose -h + 1025 = 36. Let b = h + 378. What is the units digit of b? 7 Let i(t) be the second derivative of t**4/12 + 4*t**3/3 - 9*t**2 + 17*t. Let p be i(-10). Suppose 165 + p = g. What is the units digit of g? 7 Suppose 7*a + 7 = 35. Suppose 2*g - x - 1 + a = 0, 5*g + 5 = 5*x. What is the tens digit of (g - -1)/(4/(1*-132))? 3 Let w(x) = -2*x**3 + 37*x**2 - 8*x + 9. What is the tens digit of w(-11)? 3 Let g(y) = -9*y + 103. Let f = -261 + 233. What is the units digit of g(f)? 5 Let n = -3028 + 5363. Let c = n - 1564. What is the units digit of c? 1 Suppose 16 = 4*o, -k + 24 = k + 5*o. Suppose b = -k*r + 6 + 8, 2*b + 7 = 3*r. What is the tens digit of 9552/90 + b/(-30)? 0 Let k(b) = -171*b - 7. Let q be k(-2). Suppose -6*r - q = 115. What is the units digit of (10/r*10)/(2/(-402))? 8 Let o = -2642 + 1509. Let f = o - -1665. What is the hundreds digit of f? 5 Let q(x) = -3*x**2 + 4 + x + 1 + 6*x**3 - 3 + 4. Let y = -41 + 44. What is the hundreds digit of q(y)? 1 Let s = -431 + 432. Let l be ((-9)/6)/((-2)/(-4)). What is the units digit of 11*9 + 1*(s + l)? 7 Suppose 5*c = -3*b + 42878, 10*b - c = 5*b + 71426. What is the hundreds digit of b? 2 Let j(l) = 211*l + 27 + 56*l**2 - 102*l - 102*l. What is the tens digit of j(-4)? 9 Let n(o) = -o**2 - 9*o + 12. Let m be n(-9). Suppose 80 = -14*g + m*g. Let d = g + 85. What is the units digit of d? 5 Let i = -833 - -1753. What is the tens digit of i? 2 Suppose -18*g = -13*g - 10170. Suppose 38*j - g = 32*j. What is the hundreds digit of j? 3 Suppose -4*u - u = 3*u. Suppose -3*f + 1149 = 4*p, -p = 2*f - u*p - 766. What is the tens digit of f? 8 What is the ten thousands digit of ((-72)/(-2)*(-1 - -11))/(1090/38695)? 1 Let f be (-2)/8 - (-5)/(-12)*-2103. Let q = -817 + f. What is the units digit of q? 9 Let x(c) = -2*c**3 + 20*c**2 + 15. L
{ "pile_set_name": "DM Mathematics" }
olve -q*v - 3*u + 2*u = -7, b = -r*v + u for v. 1 Let k(d) = d**2 - 9*d - 8. Suppose 3*f + 0*w - w = 25, -f + w = -5. Let l be k(f). Solve 0 = -l*x - 8, -9 = -h - x + 4*x for h. -3 Let t be (11/2)/(3/6). Let n = t - -9. Solve n = -5*l, 0*k + 20 = 2*k - 3*l for k. 4 Let o(v) = -6*v**3 - 5*v + 1. Let g(w) = w**3 + w**2 + w. Let k(j) = 5*g(j) + o(j). Let a be k(5). Solve 0 = 4*x + 3*s - 14, 8 = x - 2*s - a for x. 5 Suppose -c - 3*n + 3 - 10 = 0, 4*c - 3*n = 32. Solve 8 = -2*i, 0*i = c*s + 3*i - 3 for s. 3 Let p(x) = 4*x**2 - x + 2. Let t be p(1). Suppose -3*v + 14 + 3 = 2*a, -2*a = -v - t. Solve 0 = 5*o + 5, z - v*o - 8 = -4*z for z. 1 Let q = 11 + -4. Let m(w) = w**3 - 6*w**2 + 3*w - 3. Let l be m(6). Let d be (-9)/(-2) - (-1)/2. Solve l = -d*u - r, -q*r - 12 = 4*u - 2*r for u. -3 Let l = 71 + -29. Let f be 12/l - 124/(-7). Solve -m - f = 2*b - 5*m, -5*m = -b - 24 for b. 1 Suppose 2*f - 4*s = -4, 2*s + 6 = -4*f + f. Let h = 0 - f. Solve 4*t - 8 = -h*m, t = -t for m. 4 Suppose 1 = 4*h - 3. Let b = h - -1. Solve -3*u - 3*w + 15 = 0, -19 = -u - b*u - 4*w for u. 1 Let x be (3 + -3)/4*(-3)/(-6). Solve -6 = -4*r - o + 2*o, -r - o - 1 = x for r. 1 Let q = 19 - 16. Solve 11 = -q*x - 2*x + 4*i, -4*x = -4*i + 12 for x. 1 Let h = 74 + -52. Let p = h + -8. Let j = p - 7. Solve x - 2*n = -1, -5*n = -3 - j for x. 3 Let d(k) be the first derivative of k**4 - k**3/3 + k**2/2 - 1. Let l be d(1). Solve 8 = 2*n - 5*g, l*n - g - g = 16 for n. 4 Let w = 0 + 10. Solve -3*l + 17 = x, 4*l - 3*x - w = 2*x for l. 5 Suppose 13*r - 17*r = 0. Solve -4*h + 6*h + 5*j - 33 = r, -2*h + 4*j - 12 = 0 for h. 4 Suppose 4*u + 1 = -3*w, 3*u + 3 + 6 = -5*w. Solve l - 2*f = u*f - 15, -3*f = 5*l + 6 for l. -3 Suppose -2*c - 3*t = -4*c - 5, -5*c - 4*t + 22 = 0. Solve 2*l - o = 4, c*l + 5*o + 20 = l for l. 0 Suppose -3*o - 426 = -4*o. Let z be o/15 + (-4)/10. Let j = z + -20. Solve 2*l + j = 0, -l - 8 = -4*b + 4*l for b. -3 Let g be ((-15)/6)/((-5)/10). Solve 3*f - 3*n + n = 8, -g*f - 2*n - 8 = 0 for f. 0 Suppose -15 = -6*o + 33. Solve -h = -3*w + 5*w + o, 5*w - h + 20 = 0 for w. -4 Suppose 3*r = -r + 12. Suppose 7*g = r*g + 56. Solve -4*k + 6 + 6 = 0, -3*k + g = s for s. 5 Suppose -g + 2*m + 4 = -6, -3*g - m = -9. Suppose g*u - 10 = -u. Suppose -u*c = c - 3. Solve i - 8 = -5*n, 3*n = 2*i + 9 + c for i. -2 Let y = 4 - -2. Let b = 9 - y. Suppose 0 = 5*a - b*a. Solve 5*l - 3*q + a - 10 = 0, 5*l + 3*q - 10 = 0 for l. 2 Let g be (6/1)/(0 - -2). Suppose n - 5*c - 4 = 0, 4 = g*n - c - 8. Solve -j - 9 = -5*k + 3*k, 0 = -5*k - n*j + 3 for k. 3 Let z(l) = -7*l + 4. Let a be z(3). Let h = -12 - a. Suppose -3 = d + p, -2*p - 4 = 3*d - 0*p. Solve -f = d*v + 3*f - 14, -3*v = h*f - 18 for v. 1 Let s = 8 - 6. Solve -15 = l + s*l, -n + l = -3 for n. -2 Suppose -w = -4*o - 1, 7*w = 2*w + 2*o - 13. Let a be ((-3)/w)/(2/4). Solve 3*f = 4*q - 23, a*q + 17 = -5*f - 4 for q. 2 Let q be (-308)/10 - (-2)/(-10). Let o = 20 + q. Let n = -6 - o. Solve n*f - 41 = 4*a, 2*a = -0*a + f - 13 for a. -4 Let r = -5 + 7. Let d(l) = -l - 2. Let p be d(-8). Let h(y) = y + 10. Let q be h(10). Solve 2*b = -r*j - 12, -q = -2*b + p*b for j. -1 Suppose -5*r - k + 151 = -3*k, -4*k + 8 = 0. Solve -4*t + 3 = p, 0 = -t + 4*t - 5*p - r for t. 2 Suppose 2*z = 4*z - 10. Solve 0 = 3*f - 5*q - z, f + 0*q + 1 = q for f. -5 Suppose -2*s + 18 = 2*c, 5*s + 5*c = s + 38. Solve -3*l - v + 3 = 0, -2 = -3*l - 3*v + s for l. 0 Suppose -o - 26 = o. Let d = o + 18. Solve -d*j = 2*q - 2*j - 3, -j = 1 for q. 3 Suppose -20*t - 25 = -25*t. Solve 1 = -3*i - 2, -t*i = -5*a + 15 for a. 2 Let x = 74 - 72. Solve -x*g + 7 = -a, 2*g + 5*a = -g + 17 for g. 4 Suppose -8*p = -7*p - 4. Solve p*o = 8, d + 0 - 1 = -3*o for d. -5 Let u be 6 + 209/(-33) - 13/(-3). Suppose t + t = 64. Suppose -5*z = -3 - 17. Solve 2*l + t = -z*q - 3*l, u = -l for q. -3 Suppose -154 = -11*t - 3*t. Solve -3*m = 5*b - 0*m + t, 2*b = m for b. -1 Let q(k) = -3*k + 20. Let n be q(5). Solve j - 9 = -n*i + 4, -2*j - 5*i = -16 for j. 3 Let v = 72 + -72. Solve -c = -2, 4*n = -v*n - 4*c - 8 for n. -4 Let l = 115 - 113. Solve -3*c = -l*s - c, -c + 2 = 0 for s. 2 Let c = 1 - 2. Let u = 4 - c. Suppose -u*g + 47 + 38 = 0. Solve -g = -2*w - 5*y, -2*w - 7 = -6*w - y for w. 1 Let w be (-1)/8*12/6*-20. Solve 3*t + r = -1, -w*t = -r + 3*r for t. -2 Let f = -1 + 5. Let z(w) = w**2 + 7*w + 9. Let c be z(-6). Suppose 2*g - 2 = 3*t, -3*g + 18 = t + g. Solve 5*n = j + t*n - c, -4*n = f for j. 0 Let s(i) = 4*i - 28. Let t be s(9). Solve t = k + 2*k - y, 4*k - y = 11 for k. 3 Suppose 0 - 12 = -4*t. Solve -2*a + 5*a = i + 20, -t*a + 10 = i for i. -5 Let o(z) be the second derivative of z**3/6 - 3*z**2 + 2*z. Let a be o(11). Solve -4*b = a*h, -2*b + 3 = h - 3 for b. 5 Let t be (-321)/(-45) + (-6)/45. Solve -2 = 5*k - t, -3*r - 2 = 4*k for r. -2 Let s(a) = a**2 - 4*a - 1. Let u be s(3). Let m be 6 + 0 + u + 2. Solve 2*v = -6, -v - m - 3 = -4*l for l. 1 Suppose -i - 11 = -4*f, f + 3 = -i + 17. Suppose 3*m + 4*o = -8, -m + 6 = -3*m - 2*o. Let x = i + m. Solve 2*y - 3 = -3*j - y, -4*y + 31 = -x*j for j. -3 Suppose -t - 1 = -23. Solve 3*l = -5*m + t, -4*l + 3*m - 19 = -0*m for l. -1 Let c(k) = -k**3 - 6*k**2 - 6*k + 4. Let i be c(-5). Let y(h) = h**2 - 7*h - 3. Let t be y(i). Suppose -1 = u - 5. Solve 0 = -r - u*f - 15, -2*f - t = -r for r. 5 Let y(s) = s**3 - 8*s**2 - s + 17. Let c be y(8). Let d = c + -4. Solve -d*g + m = -17, g + 2*m = 2*g - 7 for g. 3 Suppose 3*r - 6 = -0*r. Suppose r*f - 2*v + 1 = -7, 5*f + 5*v - 10 = 0. Let s = f - -1. Solve -20 = -y + 5*c, -3*y = -s*c + 4*c - 3 for y. 5 Let p(w) = w**2 + 5*w - 10. Let k be p(-7). Let q = k - 1. Suppose 0*l - 2 = -l. Solve 5*t - x - x = 24, 2*t + q*x = l for t. 4 Suppose -3 = -m - f, -2*m - 4*f = -m + 9. Let r be m + 3 + 1*-2. Let g = r + -6. Solve 5*b + 3*n + 3 + 28 = 0, b + 9 = -g*n for b. -5 Let x = 73 - 46. Solve 4*f = j + 33 - 10, 4*j = 3*f - x for j. -3 Let r be ((-1)/(-3))/(132/(-27) + 5). Solve 2*q - 5*q + 3*a + r = 0, -3*a - 27 = 5*q for q. -3 Let v be 2/(-2)*-1*11. Suppose 5*w = -z - 10, 5*w - 5 = -2*z - 2*z. Let s = v - z. Solve 5*q - 3*h = 12, h - s*h = -q + 20 for q. 0 Let h(y) = y**2 - 9*y + 3. Let f be h(9). Suppose 1 = -2*g - 3. Let l be (2/g)/(1/(-26)). Solve 0 = s - 2*c - 2*c - 13, -4*s + f*c = -l for s. 5 Let g be ((-2)/2)/1 - -5. Let h = -12 - -28. Let q be (2 - (1 - -1))/(-1). Solve -j + r + 3 = q, 0 = -g*j - 4*r - h - 12 for j. -2 Suppose 0 = -a - 2, a - 4*a - 6 = 2*h. Suppose 3*i + 5*f = 2*f + 3, 0 = 2*i - 5*f + 5. Let t be (i + -1)/(4 + -5). Solve -5*q + g = h, 4*q = g - 0 + t for q. -1 Let u = -24 - -27. Solve 3*f = k + 12, -4 - 10 = -u*k - f for k. 3 Let a be 5 - (2 - 0/(-3)). Suppose -4*g - a = -5*g. Solve -g*w = -w + 3*b - 15, 12 = -w + 5*b for w. 3 Suppose 0 = -2*m + 5*s + 31, -6*m + 3*s = -4*m - 21. Solve -q + 6 = -2*g, 0 = m*q + 5 + 1 for g. -4 Suppose -2*c - 5*c = -28. Solve 4*y - 3*t + 14 = 2*y, c*t = -y + 15 for y. -1 Suppose 3*a = 2*o - 4*o + 6, 4*a = -2*o + 8. Let y = 20 + -17. Solve 0 = -2*w - 3*q, o = y*w - 2*q - q + 15 for w. -3 Suppose -6*z - 5*c + 20 = -z, -2*c + 2 = 0. Solve 0 = 4*d - g + 5*g + 8, 2*d + z*g + 1 = 0 for d. -5 Suppose 5*x - 41 + 16 = 0. Solve -3*z = 3*d - 3, 0*z + 2*z + 7 = -x*d for d. -3 Let p = -8 - -13. Suppose -2*f - 27 - 61 = -p*a, -3*a = -4*f - 50. Solve -h + 16 = 5*j, -5*h + 2*h - 5*j = -a for h. 1 Suppose 12 = -2*b + 3*z, 10 = -2*z + 7*z. Let m be 11 - (0 + 0 + b). Solve 3*g + 10 = -2*t, -m = -5*g + 2*t - 4 for g. 0 Suppose 11*g - 96 = 5*g. Solve 0 = -3*u - 5*d - g, -2*u - 2*d - 3*d - 14 = 0 for u. -2 Let v(x) = x**2 - 4*x**2 + 7 + 2*x**2 - 4*x. Suppose 2*z + 5*c = -5, -2*z - 18 = -3*c - 5. Let n be v(z). Solve 5*d - 2*a + 5 = 0, 3*d - 4*a + n = -3*a for d. 1 Suppose 4 = 2*a - f, 0 = f + 2 - 4. Solve a*w - 15 = 0, 2*j + w = 3 + 4 for j. 1 Suppose 0 = 5*p + 2*j - 9, 3*p - 5*j - 1 = -8. Suppose 2*r = -4, 5*m - r + 2*r = 3. Let o = 23 - m. Solve -4*s + o = c - p, 4*c + 4*s = 32 for c. 3 Let d(c) = c**2 - 3*c + 5. Let g be d(2). Solve -3*y - 3*o + 15 = -0, -2*y - 10 = -g*o for y. 1 Let u be -1*-2*2/1. Solve 3*r + 1 = -2*n - 2, 5 = -u*r - 3*n for r. 1 Let h be 0/(1 + 1) - -3. Suppose 0*g - h*g = -6. Let k(i) = -i**3 - 12*i**2 - 11*i + 2. Let t be k(-11). Solve -g = 4*s - t*s - 2*j, -s + 3*j = 11 for
{ "pile_set_name": "DM Mathematics" }
242)/(-6) a prime number? True Let j(c) = 3*c - 12. Let b be j(1). Let m(z) = -23*z**3 - z**2 - 16*z - 19. Is m(b) a composite number? False Let j(g) = -480*g - 269. Let y(f) = -240*f - 133. Let t(s) = 2*j(s) - 5*y(s). Is t(28) a prime number? False Let d = -12 + 34. Let h = -21 + d. Is 189 - (h/(-1) + 1/(-1)) a prime number? True Let v = 376 + 1025. Suppose -2*k - 3*s = 2, 0 = 3*k + 2*k - 2*s - 14. Suppose 1397 = o + a, -o - k*a + 3*a + v = 0. Is o composite? False Let l(q) = 284*q**2 + 89*q - 742. Is l(12) a prime number? False Let c(r) = -r**3 + 6*r**2 + 2. Let i be c(6). Suppose 25 = -i*g + 7*g. Suppose 3*d = -g*p - d + 2571, -4*d - 4 = 0. Is p prime? False Suppose 0 = q, -q - 12 = -4*n + 4. Suppose 5*k + 386 = -r, 3*r + n = -5*k - 1164. Let i = r - -2700. Is i composite? False Let r(h) = h**2 - 18*h + 2. Let n be r(18). Suppose 0 = -5*u + 3*o - 9, -n*u + 2 + 1 = o. Suppose u = 3*f + 3*f - 16374. Is f composite? False Let p(w) = -2*w**3 + w**2 + 89*w - 417. Is p(-31) a composite number? False Let s(r) = r**2 + 3*r - 4. Let v be s(-4). Suppose -5*q = -3*t - t + 7066, t - 4 = v. Let c = 2207 + q. Is c a composite number? False Let v be (-15 + 17)*607/2. Let x = 334 + -52. Let j = v + x. Is j prime? False Let i be (5 - 4277)*1/((-9)/(-6)). Let l = i + 5014. Suppose 710 + l = 4*p. Is p a prime number? True Let d be 2/(-14) - (-1464)/(-42). Let b = 32 + d. Is 28056/18 - 1/b a prime number? True Let q be -2 + -278 - (-17 + 21). Let a = 251 - q. Is a composite? True Suppose 34 = -5*l + 4*a, -3*l + 28 = -8*l - 2*a. Let r(m) = -123*m - 65. Is r(l) a prime number? True Let r(h) = 3*h + 44. Let w be r(-18). Let g(n) = n**2 + 8*n - 20. Let f be g(w). Suppose f = 4*y - 8*y + 1432. Is y composite? True Let c(s) = -4 - 80*s**3 + 0*s - 6 + 3 + 2*s. Let g be c(-3). Let n = -1200 + g. Is n a composite number? False Suppose 2*k + 4*n - 42 = 0, -4*k - 5*n + 59 = -k. Suppose -139940 = -8*t + k*t. Is (2/4)/(t/(-4664) - 6) composite? True Suppose -19168 = -s + 1088. Let o be (s/(-30))/(11/(-5) + 2). Is (-1 + 10/4)/(12/o) composite? True Let n(y) = 1133*y + 1415. Is n(36) a composite number? True Let t(h) = h**3 + 55*h**2 + 89*h - 55. Let d be t(-42). Suppose -u + 6403 = 2*b + 2*b, 3*u - 2*b = d. Is u prime? False Suppose 2*x + 4*v - 127848 = 0, 4*x - 3*v - 319594 = -x. Suppose 5379 - x = -7*a. Is a prime? True Let v be (50/(-3))/((-3)/(-3 + -6)). Let x = -33 - v. Suppose 15*y = x*y - 1066. Is y composite? True Let s(p) = -337*p - 760. Is s(-14) a prime number? False Suppose s - 2*b - 6 = 0, 3*s + 18 = -2*b - b. Let c = -52 - -30. Is c/(-6)*(s + 89) composite? True Suppose 4*q - 5753 = 3*o - 33454, 3*o - 6932 = q. Let l = q - -10126. Is l composite? False Suppose -4*l + 9*l - 510 = 0. Let v = 109 - l. Is 450 - (v/3 - 16/12) a composite number? False Suppose -26*q = 579590 + 1092522. Is (q/20)/((-3)/(-15)*-2) prime? True Suppose 23*z - 920 = 15*z. Let h = z - 110. Suppose -h*w - 985 = -2895. Is w composite? True Is 17 + -12 - (5 - -2 - 644839) prime? True Let t(n) = 32012*n - 55. Is t(1) composite? False Let n(b) = 53*b**2 - 13*b + 65. Suppose -o - 15 = 4. Let s be n(o). Suppose 9*t = s + 5926. Is t a prime number? True Is ((-9)/6)/((-2)/8) + (32 - -367565) composite? False Let u = -89296 - -160457. Is u a composite number? False Suppose -n - r - 3*r = -19, 0 = -3*n - 3*r + 39. Suppose 6*f + 10025 = n*f. Is f prime? False Is -13*(-225 + (29 - 15)) a prime number? False Suppose -1600*k + 1601*k = 7, 2*w - 3*k - 253885 = 0. Is w prime? False Suppose 18*w - 21*w = 5*o - 12, 5*o = -4*w + 11. Suppose 0 = o*b - j - 2897, j - 10 = -6. Is b composite? False Let n(a) = 24*a - 50. Let b be n(18). Suppose -b*t = -384*t + 4358. Is t prime? True Let n = 880 - -1610. Suppose -671 = -q + 4*f, 4*q - 4*f = n + 254. Is q composite? False Let r be (-372)/(-155)*10/4. Suppose 2639 = r*h - 30367. Is h a composite number? False Let i(o) = -92*o**3 - 5*o**2 - 9*o - 1. Let b be i(-3). Suppose 9*h + 8*h - b = 0. Is h a prime number? False Suppose -406*t - 10141928 = -474*t. Is t a composite number? True Let f be -5*(-4 + 24/(-5)). Suppose -8*w - 34 = -7*w. Let q = f + w. Is q a prime number? False Let s(x) = x**2 + 4*x - 3. Let g be s(-5). Let t(u) = u**g - 2*u - 5*u + 7 - 12. Is t(-4) a composite number? True Suppose 5*n - 49945 = h + 38408, 2*h = -n + 17675. Is n prime? False Let g(z) = -11*z**2 - 22*z + 18. Let w be g(16). Let o = 2572 - 4661. Let h = o - w. Is h composite? False Let r(y) = y**2 + 41*y + y**2 - 37*y + 7 + 2*y**2 + 0*y**2. Suppose -17 - 1 = 3*b. Is r(b) prime? True Let s(u) = 10*u**2 + 18*u + 7. Let m(q) = 27*q - 234. Let j be m(8). Is s(j) composite? True Suppose 51 = 4*u - 49. Suppose -p + 3*k = -0*p + 3462, 5*k - u = 0. Let t = -2009 - p. Is t composite? True Let t be 1120/64 - (-3)/6. Let a(q) = 313*q + 103. Is a(t) composite? False Suppose -136627 = -77*t + 90446. Is t a composite number? True Let h = 191 - 150. Suppose 39*x + 7666 = h*x. Is x a composite number? False Let f = 67 + -64. Suppose -4*a = -5*q - 0*a - 14, -f*a + 6 = -3*q. Let v = q - -40. Is v a composite number? True Suppose -3*h + 7535 = b - 87540, 0 = -4*b - h + 380256. Is b composite? False Let p(h) = 153*h**2 + h + 5 - 17*h + 19*h. Let n be 25/(-10) + 2/4. Is p(n) a composite number? True Let h(x) = x**2 + 5*x + 6. Let p be h(-5). Let j(z) be the first derivative of 7*z**3/3 - 5*z**2/2 + 32*z + 1014. Is j(p) prime? False Let v(s) = s**3 - s**2 - s - 1. Let l be v(0). Let m(o) = 4*o - 7 + 3 + 49*o**2 + 7 - 4*o**2 + 105*o**2. Is m(l) prime? True Let v(o) = 1268*o**2 + 14*o + 47. Let c be v(-3). Suppose -2*h + 5*j + c = -8680, -5*j = -4*h + 40219. Is h composite? False Let f be 2/(-4) - (-24)/(-16) - -4. Suppose -t - 3*t + j = -15167, 5*t - f*j = 18955. Is t a composite number? False Suppose 5*v + 5*f - 782 = 4*v, -4050 = -5*v + 3*f. Let w = v + -1578. Let u = w + 1622. Is u composite? True Let o(t) = -t**3 - 12*t**2 - 9*t + 2. Let a be o(-8). Let m = a + -388. Let f = m - -2051. Is f prime? True Let o = 30 + 14. Suppose -2512 = -o*g + 40*g. Suppose -27*r + 23*r = -g. Is r composite? False Let p(x) = 275*x**2 + 8*x + 15. Let s = 66 - 69. Let w be p(s). Let d = w - -1295. Is d prime? True Let r(p) = -1200*p**3 - 18*p**2 + 4*p - 27. Is r(-8) a composite number? False Let a(v) = 1001*v**2 + 121*v - 361. Is a(24) prime? True Let m(c) = 20644*c**3 + 12*c - 15. Is m(2) prime? True Let k(y) = 2*y**2 + 2*y - 1. Let w be -254*5/(-45) + (-4)/18. Suppose 11*s = 18*s + w. Is k(s) prime? True Let g be (1 - -1) + -1 + 4. Suppose -g*l - 4*l = -23859. Is l composite? True Suppose 31 + 88 = 7*a. Let j(u) = -u**3 + 18*u**2 - 18*u + 22. Let z be j(a). Suppose -3*m = -n - 1747, 4*m = -z*n + 1798 + 506. Is m prime? False Let u(k) be the third derivative of k**7/1260 - k**6/90 - k**5/40 + 9*k**4/8 + 4*k**2. Let z(i) be the second derivative of u(i). Is z(7) a prime number? False Let j = 474889 + -195852. Is j composite? True Let m(l) = 8*l**2 - 276*l + 67. Let c(g) = 8*g**2 - 276*g + 65. Let v(p) = -2*c(p) + 3*m(p). Is v(55) composite? False Suppose 11*d = -50 - 511. Let z = -58 - d. Is -7*2/1*z/2 prime? False Let x = 33 + -41. Let m(b) = 350*b**2 + 8*b. Let k be m(x). Is -1 + k/28 + 4/14 prime? True Suppose -21835 = -5*o - 5*z + 23990, -45833 = -5*o - 3*z. Suppose -9*h + 3800 = -o. Is h composite? True Suppose 0 = -2*u - 5*j - 2, -2*j = -4*u - j - 26. Is 3222 + 3 - (-24)/u a prime number? True Suppose -12*u + 51 - 3 = 0. Suppose 2*s + 10 = 2*y, u*s = -4*y + 2*y - 44. Let o(f) = -f**3 - 3*f**2 + 16*f + 13. Is o(s) composite? True Let q be 1525/122 - (-3)/(-2). Suppose -h + 2*g = -1273, 0 = -4*h - 14*g + q*g + 5125. Is h composite? False Let i be 6 - 3*(-584)/6. Let q be -2 - (-513 - 2) - -2. Let o = q - i. Is o prime? False Suppose -5*p + 0*p + 478 = -3*x, 0 = p + x - 102. Let m = p - -295. Is m a prime number? False Suppose 2*n + 904 = -3*f, -19*n = -f - 23*n - 298. Suppose 3*m - m = -974. Let s = f - m. Is s a composite number? True Suppose f + 1 - 26 = 0. Suppose 5*h - 5*a - f = 7*h, 0 = -3*h - 4*a - 41. Is 1118/5 - (2 + 21/h) a composite number? False Suppose -828*q + 827*q + 333225 = -4*f, -f = -5*q + 1665992. Is q a composite number? False Let l = -13865 + 61114. Is l composite? True Is 19014*40 - -3 - -14*14/(
{ "pile_set_name": "DM Mathematics" }
What is m rounded to one decimal place? 1 Let z = 0.1958 + -0.792. What is z rounded to 2 dps? -0.6 Let f = 7 - -23. Suppose -7*p + f = -2*p. Let c be 1559998 + 8/(p - 2). Round c to the nearest one hundred thousand. 1600000 Let n(m) = 2062501*m - 8. Suppose 8*t - 62 = 2. Let l be n(t). What is l rounded to the nearest one million? 17000000 Let a = 122.9 + -104. Let i = 2.9 - a. Let k = i - -16.0000045. Round k to 6 dps. 0.000005 Let u = -375.43 - -379. Let x = u + -4.4. Let c = x + 1.64. Round c to one dp. 0.8 Suppose -109683 = -3*c + 100317. Suppose -v - c = -0*v. What is v rounded to the nearest ten thousand? -70000 Let b = -0.372 - -0.3721071. Round b to six decimal places. 0.000107 Suppose -53965 + 224688 = 4*z + w, 0 = z + 4*w - 42692. Round z to the nearest one thousand. 43000 Let d = 1.875 - 1.9. Let a = d - -0.02268. Round a to four decimal places. -0.0023 Suppose -10802 = 8*h - 19*h. What is h rounded to the nearest one hundred? 1000 Let n = -11 - -88. Let v = n + -77.0000013. What is v rounded to 6 decimal places? -0.000001 Let t = 0.0363 + -0.2553. What is t rounded to one dp? -0.2 Let t = -100 + -16. Let r = -99.5 - t. Round r to zero decimal places. 17 Let l be (-29 + -1 + 1)*(-539 - 41). Round l to the nearest 1000. 17000 Let b(y) = y**3 - 5*y**2 - 6*y + 8. Let w be b(6). Let r be (3 - w/(-6))*-30. Round r to the nearest 100. -100 Let f = -224 - -223.028. What is f rounded to one decimal place? -1 Let i(m) = 717779*m**2 + 8*m + 13. Let f be i(-3). What is f rounded to the nearest one million? 6000000 Let x = -2.46 - -5.43. Let z = 0.03 + x. Let m = 2.999944 - z. What is m rounded to 5 decimal places? -0.00006 Let h = -142.51 - -142. Let i = 0.51000385 + h. What is i rounded to 7 decimal places? 0.0000039 Let i = -165 + 164.903. Let g = 9 - 8.91. Let b = i + g. What is b rounded to 2 dps? -0.01 Suppose 67*o - 4*o = 10004400. What is o rounded to the nearest ten thousand? 160000 Let k = 351.4 + -357.228. Round k to 1 decimal place. -5.8 Let u = 212345 - 128348. Suppose 2*l - s = l + u, -5*l + s + 419997 = 0. What is l rounded to the nearest ten thousand? 80000 Let l = 31.799 + -2.139. Let r = -21 - -51. Let p = l - r. Round p to 1 decimal place. -0.3 Let a = 1.9629 + 0.0471. Let d = a - -74.59. Round d to the nearest 10. 80 Let g = -222 - -225.76. Let d = -4 + g. Let h = -0.23999956 - d. What is h rounded to seven dps? 0.0000004 Let f = 0.641 - -813.359. Let z = f + -814.0000359. What is z rounded to 5 dps? -0.00004 Let v = -212.916 + 212. Round v to 1 dp. -0.9 Suppose 3*n = 2*g + 18260, 3*n - 23*g = -18*g + 18245. What is n rounded to the nearest one hundred? 6100 Let x = 119.25 + -120. Let d = x - 0.41. What is d rounded to one dp? -1.2 Let c = 6.12 + -6.1200001334. What is c rounded to 7 decimal places? -0.0000001 Let q = 625.000000884 + -625. Round q to seven dps. 0.0000009 Let w = 855 - 859.53. Let y = 0.33 + w. Let t = y + -0.2. Round t to 0 decimal places. -4 Let j = 74067583.000079 + -74067618. Let k = -193 + 228. Let w = k + j. What is w rounded to five decimal places? 0.00008 Let g = -1.38 + 0.71. Let p = g + 0.22. What is p rounded to the nearest integer? 0 Let r be 6/(-27) - (0 + (-116100002)/9). Round r to the nearest 100000. 12900000 Let r = 0.74 - -71.06. Round r to the nearest ten. 70 Let z = -908.31 + 914. What is z rounded to the nearest integer? 6 Let w = -1109.586 + 1115. Let z = w + -5.5. Round z to two decimal places. -0.09 Let t = 1.1414 - 1.13. Let r = -0.01762 + t. What is r rounded to 3 decimal places? -0.006 Let w = 1.847 + -1.8469039. What is w rounded to five dps? 0.0001 Let t = -21575024 - -31435024. Round t to the nearest 1000000. 10000000 Let y = -12 - -17. Suppose 24 = -2*d + 4*d + 4*r, 0 = -4*d + y*r - 17. Suppose -d*l = 5*u + 2025, -5*u = 4*l - 0*u + 4065. What is l rounded to the nearest 100? -1000 Let v = -0.44 + 0.15. Let f = v - -0.2900042. Round f to six dps. 0.000004 Let q = -2.21 + -660.79. Let r = -655.43 - q. What is r rounded to 0 decimal places? 8 Let i(a) = -31*a**2 + 34*a + 65. Let j be i(-21). What is j rounded to the nearest 100? -14300 Let p(c) = 71*c - 6. Suppose q + 14 = 2*i + 5*q, 2*i = 4*q + 6. Suppose -i*b - 8 = 2. Let n be p(b). Round n to the nearest 10. -150 Let m = 1037.2 + -1041.841. Let a = m - -0.041. What is a rounded to the nearest integer? -5 Let u = -31.4 - -31.2974. Round u to two dps. -0.1 Let i = 0.011 - -10.239. Let c = 4.32 - i. What is c rounded to 1 decimal place? -5.9 Let t = -11 + 9.1. Let h = 7.05 - 6. Let i = t + h. What is i rounded to 1 dp? -0.9 Let j = 185 + -53. Let t = 130 - j. What is t rounded to the nearest 100? 0 Let u = -49.672646550621 - 0.027354055379. Let b = u + 49.7. Round b to seven decimal places. -0.0000006 Let u = -85 + 106.8. What is u rounded to 0 dps? 22 Let t = -18 - -27. Let m be 6030003/t + (-1)/3. Round m to the nearest 100000. 700000 Let j = 0.08668 + -0.094937. What is j rounded to three decimal places? -0.008 Let v = -2.87 + 1.38. Let h = -1.48404 - v. Round h to 3 decimal places. 0.006 Let a be 54*6/(60/35). Suppose 4*b = a + 331. What is b rounded to the nearest one hundred? 100 Let s = -2617.01893 - -2617. Let x = s - -0.015. Round x to three decimal places. -0.004 Let k(l) = -l**3 - l**2 + l + 1. Let c(s) = 515*s**3 - 2*s**2 + 5*s + 6. Let a(v) = c(v) - 6*k(v). Let g be a(3). What is g rounded to the nearest 1000? 14000 Let s = -36.5 + 113.6. What is s rounded to the nearest 10? 80 Let f be (-30832050452)/565 + 8/10. What is f rounded to the nearest one million? -55000000 Let c = -32.7 + 33.655. Let w = -0.9 + c. Let h = w - 0.0549959. What is h rounded to six dps? 0.000004 Suppose 0 = h - i + 458 + 896, 0 = -4*h + i - 5404. What is h rounded to the nearest one hundred? -1400 Let p = -294 + 208. Let w = p - -86.00041. What is w rounded to 4 decimal places? 0.0004 Let q = -492 - -491.999385. What is q rounded to 5 dps? -0.00062 Let t = 5321 + -7442.04. Let o = t + 2165. Let r = o - 43. What is r rounded to 1 dp? 1 Let c = -11791884781 - -11791884424.000000418. Let d = -357 - c. What is d rounded to seven decimal places? -0.0000004 Let x = 80 + -79.99999785. What is x rounded to 7 decimal places? 0.0000022 Let z(f) = 5*f**2 + 14*f + 5. Let w be z(-15). Let c = w + -470. What is c rounded to the nearest one thousand? 0 Let r(q) = -26*q**2 - q - 18. Let x be 4 - ((-4)/(-6) + (-28)/6). Let l be r(x). Round l to the nearest one hundred. -1700 Let c = -7.3 + 7.1657. Round c to 2 decimal places. -0.13 Let l = 545.00869 + -545. Let s = 0.01 - l. What is s rounded to four dps? 0.0013 Let f(t) = 2751*t**3 - 9*t**2 - 17*t - 48. Let c be f(-8). Round c to the nearest 100000. -1400000 Let y = -570 + 565.68. What is y rounded to one dp? -4.3 Suppose -a = a, -4*a = -f - 8. Let j be (-324)/(-10) + f/20. Let l be 2265/2*j/24. Round l to the nearest one hundred. 1500 Let g = -0.0286 + -3.2634. Round g to the nearest integer. -3 Let h = -0.2705 + 0.17. Let d = -0.08 - h. Round d to 3 dps. 0.021 Let i(m) = m**3 + 5*m**2 + 4*m - 2. Let r be i(-2). Suppose 0 = -4*u - 4*x - 880008, -5*u - 1099998 = -3*x + r*x. Round u to the nearest 100000. -200000 Let b = 16.3 - 18. Let d = b - -1.68. Let y = -0.4 + d. Round y to 1 decimal place. -0.4 Let c = -22.9499 + 23. What is c rounded to 2 dps? 0.05 Let s = -1955.00004335 - -1955. What is s rounded to five dps? -0.00004 Suppose 0 = 5*z - 2*z - 6. Let l be 78/312 + 14/8. Suppose -l*x - z*x = -5*n - 1, x + 4*n = -26. Round x to the nearest 10. -10 Let k(o) = -29*o + 5. Suppose 6*y + 2 = -16. Let j be k(y). What is j rounded to the nearest 10? 90 Let y = 13.432 - 23.431. Let l = 17 - 7. Let m = l + y. Round m to 4 dps. 0.001 Let g = -1818.2 + 1991. Let f = -501 + 346. Let a = f + g. What is a rounded to the nearest integer? 18 Let x = -6 + 55. Let z = 48.99991 - x. Round z to 4 dps. -0.0001 Let f = -9.3 - -9. Let s = -2606 - -2606.29998. Let v = f + s. What is v rounded to four decimal places? 0 Let b be 134*(-5 - -6) + -1. Suppose -137 = -0*s + s + 4*u, s + 3*u = -b. Round s to the nearest ten. -120 Let u be (5*(-3)/(-2))/(78/(-850720)). Round u to the nearest 10000. -80000 Let n be ((-2)/(-6))/(1/(-3)). Let f be 3855/((-30)/6) - (n + 0). Round f to the nearest 100. -800 Let a = 424.9226 + -425. Round
{ "pile_set_name": "DM Mathematics" }
ive prob of sequence uz. 3/110 Two letters picked without replacement from kpkagipipkpkipaiqpip. Give prob of sequence kg. 1/95 Two letters picked without replacement from zrqvrvdrddrr. What is prob of sequence vd? 1/22 Three letters picked without replacement from xxoxdoxoodx. Give prob of sequence xoo. 2/33 What is prob of sequence xx when two letters picked without replacement from {s: 1, p: 1, w: 1, x: 2, f: 2}? 1/21 Calculate prob of sequence ayz when three letters picked without replacement from {z: 8, y: 3, f: 1, a: 2, v: 1, o: 2}. 1/85 Four letters picked without replacement from {j: 2, v: 5, p: 2}. What is prob of sequence pvvp? 5/378 Two letters picked without replacement from gtgyyyyyyqq. What is prob of sequence tq? 1/55 Three letters picked without replacement from fmfffmffmmf. What is prob of sequence mmm? 4/165 What is prob of sequence draz when four letters picked without replacement from {d: 4, r: 3, w: 4, a: 3, z: 2}? 3/1820 What is prob of sequence rnr when three letters picked without replacement from {r: 2, z: 1, c: 1, n: 1}? 1/30 Three letters picked without replacement from {o: 1, w: 1, s: 3, l: 1, v: 1}. Give prob of sequence slo. 1/70 What is prob of sequence ujxe when four letters picked without replacement from yddddddeyxxdueejx? 3/19040 What is prob of sequence owa when three letters picked without replacement from {o: 2, h: 1, a: 1, w: 1}? 1/30 Calculate prob of sequence ibbb when four letters picked without replacement from {t: 3, z: 1, i: 2, h: 1, b: 3, y: 1}. 1/660 Two letters picked without replacement from {g: 1, f: 2, p: 1, d: 5, q: 7, u: 1}. What is prob of sequence dd? 5/68 What is prob of sequence wkz when three letters picked without replacement from zzzzzzzzwzwkk? 3/143 Two letters picked without replacement from npiiiqlipqbni. What is prob of sequence iq? 5/78 Calculate prob of sequence zz when two letters picked without replacement from {g: 4, c: 2, z: 5}. 2/11 Four letters picked without replacement from oowopwooowowwowooww. Give prob of sequence wowp. 35/5814 Three letters picked without replacement from {b: 13, a: 3}. What is prob of sequence bbb? 143/280 Four letters picked without replacement from yerya. Give prob of sequence rerr. 0 Two letters picked without replacement from {i: 2, k: 2, t: 2}. Give prob of sequence ti. 2/15 Calculate prob of sequence ggkk when four letters picked without replacement from gkkdgnnkrrnkd. 1/715 Two letters picked without replacement from jmehejmhm. Give prob of sequence jm. 1/12 Two letters picked without replacement from {u: 3, t: 1, s: 11, m: 3, y: 1, j: 1}. Give prob of sequence uy. 3/380 Two letters picked without replacement from xoyryotorrtorrxrtr. Give prob of sequence xr. 7/153 Calculate prob of sequence qzk when three letters picked without replacement from kzffkfrqlffllzz. 1/455 Two letters picked without replacement from {i: 7, z: 1}. Give prob of sequence ii. 3/4 Two letters picked without replacement from {k: 1, t: 2, n: 1, x: 4, u: 3, h: 7}. What is prob of sequence nu? 1/102 What is prob of sequence yo when two letters picked without replacement from ldloohddhhdyjy? 2/91 Calculate prob of sequence zbn when three letters picked without replacement from {b: 2, n: 1, m: 4, z: 1, c: 1}. 1/252 Three letters picked without replacement from cccccccccc. What is prob of sequence ccc? 1 Four letters picked without replacement from imoeooiiedimio. Give prob of sequence midm. 5/12012 What is prob of sequence exxe when four letters picked without replacement from xebxeb? 1/90 What is prob of sequence lq when two letters picked without replacement from {l: 7, q: 12}? 14/57 Two letters picked without replacement from fhhhhhwhhhh. What is prob of sequence wf? 1/110 What is prob of sequence kqa when three letters picked without replacement from {q: 1, n: 4, a: 1, m: 1, k: 5}? 1/264 Calculate prob of sequence sxss when four letters picked without replacement from xxsspss. 2/35 Three letters picked without replacement from {o: 2, q: 2}. What is prob of sequence ooq? 1/6 Four letters picked without replacement from plerree. Give prob of sequence rere. 1/70 What is prob of sequence ch when two letters picked without replacement from chkhkkhkcchhk? 5/52 What is prob of sequence yy when two letters picked without replacement from {y: 9, n: 3}? 6/11 Three letters picked without replacement from ddssdccs. What is prob of sequence ssc? 1/28 What is prob of sequence mll when three letters picked without replacement from {b: 1, l: 2, m: 1, i: 2, x: 1}? 1/105 Four letters picked without replacement from wwwwwwwwwwuwuu. Give prob of sequence uuww. 5/182 Calculate prob of sequence mm when two letters picked without replacement from {m: 10}. 1 Four letters picked without replacement from mnnuueuul. Give prob of sequence eulm. 1/756 Two letters picked without replacement from jaqqaqqqvqqqqjajaaa. What is prob of sequence aj? 1/19 What is prob of sequence jdjo when four letters picked without replacement from {j: 4, d: 1, h: 1, o: 1, i: 1}? 1/140 Calculate prob of sequence hhfh when four letters picked without replacement from {h: 4, z: 1, o: 4, f: 5, k: 6}. 1/969 Three letters picked without replacement from nxcanaxmaxtntmcmxa. Give prob of sequence mmm. 1/816 Two letters picked without replacement from {c: 3, z: 3}. Give prob of sequence cc. 1/5 Two letters picked without replacement from {x: 2, l: 1, i: 1, a: 1, z: 1, s: 1}. What is prob of sequence ia? 1/42 Four letters picked without replacement from wwhw. Give prob of sequence wwhw. 1/4 Two letters picked without replacement from epyhmmmmmmmmep. Give prob of sequence mh. 4/91 Calculate prob of sequence ul when two letters picked without replacement from {j: 1, u: 2, c: 2, l: 2, g: 1}. 1/14 Calculate prob of sequence aa when two letters picked without replacement from {q: 1, z: 8, g: 5, a: 2}. 1/120 Calculate prob of sequence ifi when three letters picked without replacement from iiffifiiff. 5/36 Calculate prob of sequence bt when two letters picked without replacement from {j: 6, b: 6, t: 3}. 3/35 What is prob of sequence qq when two letters picked without replacement from qeeqqe? 1/5 Calculate prob of sequence plpp when four letters picked without replacement from ppmllmmplmmllp. 5/1001 What is prob of sequence xjn when three letters picked without replacement from {n: 2, x: 2, j: 2}? 1/15 Three letters picked without replacement from {v: 7, h: 9, l: 2}. Give prob of sequence hll. 1/272 What is prob of sequence mdmd when four letters picked without replacement from {d: 10, m: 2}? 1/66 Two letters picked without replacement from ggqgqkgqggqmwggqq. What is prob of sequence mq? 3/136 What is prob of sequence jj when two letters picked without replacement from jjjjjjqaqajq? 7/22 Four letters picked without replacement from {d: 2, l: 5, a: 12}. What is prob of sequence llll? 5/3876 Four letters picked without replacement from {c: 4, s: 2, r: 1, f: 3}. What is prob of sequence cfsc? 1/70 Four letters picked without replacement from {f: 2, t: 7}. What is prob of sequence ttft? 5/36 Calculate prob of sequence gxq when three letters picked without replacement from {g: 3, x: 2, q: 2, s: 2}. 1/42 Two letters picked without replacement from {i: 6, c: 2, b: 1, g: 2, d: 3}. Give prob of sequence gg. 1/91 Three letters picked without replacement from {m: 5, t: 9}. Give prob of sequence mmt. 15/182 What is prob of sequence bnn when three letters picked without replacement from bbnbbbbbbbbnbbn? 12/455 Two letters picked without replacement from kknggkkknnkkkkkkk. What is prob of sequence ng? 3/136 What is prob of sequence zy when two letters picked without replacement from zeeszessyezsss? 3/182 Four letters picked without replacement from {h: 7, l: 5}. Give prob of sequence lllh. 7/198 What is prob of sequence hkpp when four letters picked without replacement from {k: 1, u: 2, p: 6, n: 6, h: 2}? 1/952 Four letters picked without replacement from {q: 1, b: 7}. What is prob of sequence bbqb? 1/8 Calculate prob of sequence hvhc when four letters picked without replacement from vceeveehvivhh. 1/715 Two letters picked without replacement from {c: 1, k: 1, i: 2}. Give prob of sequence ck. 1/12 Two letters picked without replacement from hgh. W
{ "pile_set_name": "DM Mathematics" }
e closest to 1? (a) 1/4 (b) 2/9 (c) y a Let s = -0.04 + 0.24. Let g = -160/21 + -243/7. Let n = g + 42. Which is the closest to 2/5? (a) s (b) 1/4 (c) n b Let b be (4/6)/((-4)/10). Let v = -140 - -136. Let s = -24/5 + 226/45. What is the closest to -1 in b, v, s? b Let f = -1 + 1.5. Let u = -0.6 + f. Let l = 0.033 + 3.967. Which is the closest to -1/3? (a) l (b) u (c) -3 b Suppose -1 = -2*s - 7. Let w be ((-24)/3340)/(4*(-2)/452). Let g = w + -1/167. What is the nearest to -1 in -0.5, s, g? -0.5 Let z = 2008 - 18073/9. What is the nearest to 15 in z, 1/6, -2? 1/6 Let k be -1 + 2 + 0 - (-21 + 25). Let s = 3.8 + 0.4. Let o = s - -0.8. Which is the closest to 0.1? (a) o (b) k (c) 0 c Let u = 1574 - 20460/13. What is the nearest to u in 0.3, -3, 0.08, -1/9? 0.08 Suppose -4*r + 2*y - y + 5 = 0, -5*y = -2*r - 11. Suppose 5*m - r*m = 3. Suppose 3 = -j + m. Which is the closest to 1? (a) j (b) -0.1 (c) 2/21 c Suppose 10 = 8*k - 14. Suppose -k*s = -s + 6. Which is the nearest to 1/2? (a) s (b) -5 (c) 9/2 a Suppose 4*v + 10 = 2*v - 2*i, 0 = -3*i - 3. What is the nearest to v in 5, 0, -0.09? -0.09 Let w = 0.595 + 0.405. What is the closest to -2/15 in -0.3, -0.5, -5, w? -0.3 Let v be (-2)/(-4) - (-4)/(-6). Let q = -56.14 + -6.96. Let f = q - -63. What is the closest to f in -1/2, v, -2? v Let i = 69 - 69.31. Let x = i - 0.09. Let n = -1 - 0. What is the closest to 1 in x, n, 5? x Let r be 2 + 6 - 810/105. Let v = -971/5 + 195. What is the closest to v in 0.8, r, -3? 0.8 Let c = -18 + 37. Let q = c - 12. Let t = -3 + q. What is the nearest to -1 in t, -2/7, 3/5? -2/7 Let o = 0.2 + 0.3. Let j(t) = -2*t - 68. Let g be j(-33). Which is the closest to g? (a) o (b) 3 (c) -1 c Let l = -4 - -4.07. Let o = -0.9 - -4.9. Let b be (-552)/(-207) + (3*1)/(-1). What is the closest to l in b, o, 2? b Let f = 166 - 165.9. What is the closest to 1 in f, 2/5, -4? 2/5 Let s = -11.84 + -0.16. Let k = s + 12.5. Let y = 0.9 + 1.1. Which is the nearest to -1? (a) y (b) k (c) -2/15 c Let v = 3.8 + 90.2. Let h = -94.07 + v. Which is the closest to -1? (a) -0.1 (b) h (c) -1/6 c Let l = 4.31 - 2.31. Let d be 1/(-1) + (-6)/4. Which is the closest to -0.1? (a) d (b) l (c) 1 c Suppose 5*n = 4*n + 4. Suppose -o + 6 = n. Let q = 0 + 0.4. Which is the nearest to 0? (a) o (b) 0.3 (c) q b Let g = -12 - -11. Let r = g + -3. Let u be 12/15 + (-32)/40. What is the nearest to u in r, 5, -3? -3 Let w = 994 + -995. Which is the nearest to -6? (a) -8 (b) w (c) 1/4 (d) -2/3 a Suppose -s - 324 = 8*s. Let n be 0 + (-3)/s*3. What is the nearest to n in 3, -3/4, 0.5? 0.5 Let y = 11 - 7. Suppose s = 5*r - 15, 0*r + s + 13 = y*r. Let h = -0.6 + 0.9. What is the nearest to 0.4 in h, -1/3, r? h Let u be (-5)/(-6) - (-7)/(-14). Let s be (-1956)/(-16)*24/(-21). Let l = s - -140. Which is the nearest to u? (a) l (b) -0.2 (c) -1/4 a Let n be ((-115)/(-575))/(1/1). What is the nearest to n in 0.1, -3/10, 0.9, -1/4? 0.1 Let c = 0.0553 - 0.1553. What is the nearest to -0.4 in 2/11, -2/13, 1/6, c? -2/13 Let o = -11594359/30 - -386561. Let t = o - 165/2. What is the nearest to 0.1 in 2/7, t, -5? 2/7 Let k = -35.1 + 35. What is the closest to k in 1, -2, -0.3? -0.3 Let r = -7 - -6.8. Let j = -6.43 + 0.23. Let h = 6 + j. Which is the nearest to h? (a) -4 (b) r (c) 2 b Let r = -343/55 + 62/11. Let i be (52/(-24) + 2)*3. Which is the closest to -0.1? (a) -15 (b) i (c) r b Let t(s) = -6*s**2 - s. Let j be t(-1). Let i = 86.085 + -86. Let d = -0.115 - i. What is the closest to -2/7 in d, 0.1, j? d Let j = -0.03 + 0.43. Suppose -4*a = -6*a, -4*t - a + 16 = 0. Let n = 0.0481 - -0.0519. What is the closest to n in -3/4, j, t? j Let t be 5/(-7) + -1 + 2. Let p = -6 + -2. Let s be p/(-6) - (-32)/(-15). What is the closest to t in 3, -0.2, s? -0.2 Let d = -0.128 + -55.872. Let p = d + 12. Which is the nearest to -0.1? (a) -0.5 (b) p (c) -5 a Let u = -353/3 + 118. Suppose -3*x - 5 = -l + 14, -8 = 2*x. Let t = -2 + l. Which is the closest to u? (a) 2/7 (b) 4 (c) t a Let k be (-20)/(-5)*-3*(-1)/3. What is the nearest to -2 in 0.4, 3, k? 0.4 Let g = -106 + 67. Which is the closest to -0.1? (a) g (b) 0 (c) 2/3 b Let g = -28 + 27.9. Suppose 0 = -n + 1 - 4. What is the closest to -0.2 in n, -2/7, g? -2/7 Suppose 2*h - 12 = -h, k - 2*h + 3 = 0. Let d be 7/k - 15/15. Which is the nearest to d? (a) -2/17 (b) -3 (c) -4 a Let l = 256 - 260. Which is the nearest to 0.1? (a) l (b) 6 (c) -1 c Let v = 1042 - 1046. What is the nearest to 0 in v, 0.4, -0.3, 0? 0 Let u = 257 + -256.95. What is the nearest to u in -0.1, 0.4, -0.5? -0.1 Let t = 57/20 - 11/4. Let p = 247/4 - 62. Let l = 4 + -2. What is the nearest to -1/4 in p, t, l? p Let w = 1.85 + -1.96. Let z = 4 + -4.19. Let k = z + w. What is the closest to 1 in 1/5, 2, k? 1/5 Suppose 0*u = -2*u + 18. Let h be u/(-6)*(-24)/(-18). Which is the nearest to 1? (a) -1/4 (b) h (c) 0.5 c Let h(u) = -54*u - 163. Let p be h(-3). Which is the nearest to p? (a) 3 (b) 2/5 (c) -0.1 c Let u = -0.4 + 0.5. Let v = 355 - 355.4. Let g = 2 - 1. Which is the nearest to -2/7? (a) v (b) g (c) u a Let v = 171 - 171.1. Let h = -0.1 + 1.1. Let k = h - 6. Which is the nearest to k? (a) 0.1 (b) v (c) 4 b Let p be 1/(4 + -3 - 2). Let g be p*(3 + 1)*-1. Let v be -2 - (46/(-14) - -1). Which is the nearest to 0.1? (a) 0.3 (b) v (c) g b Let f = -91 - -92. Let g be -2 + ((-18)/12)/(-2 - f). Which is the closest to -1? (a) 1/6 (b) -0.4 (c) g c Let f = 5 + -7. Let w = -4.8 + 0.8. Let d = -55 + 57. Which is the closest to 1/8? (a) w (b) f (c) d c Let l be (-4)/(-24)*-22*-3. Suppose -l = -w + 3*v, v - 4 - 3 = 3*w. Which is the closest to w? (a) 2/17 (b) -1/2 (c) 0.1 b Let f = 0.808 - -0.216. Let g = -0.024 + f. Which is the nearest to 0? (a) -2/9 (b) g (c) 5 a Let i be (1/(-111))/((-22)/(-1419)). Let t = 3/37 + i. What is the nearest to 0.02 in 2, t, 0.1? 0.1 Let p = 27 - 19. Let v = -2 + p. Let z be (v/(-27))/(1/3). What is the closest to z in 0.1, 0.4, -4? 0.1 Let f = 2.8 - 2.9. Let b = 4 + -6. What is the nearest to -2/13 in b, 4, f? f Let d be 3/39 + 33/(-91). Which is the closest to 0? (a) -22/13 (b) 0.4 (c) d c Let a = 39.3 - 39. Let g = -395.05 + 395. What is the closest to -2 in 3, g, a? g Let l = 0.6 - 0.3. Let s = -196 - -779/4. Let y = -121 + 121. Which is the nearest to y? (a) 5 (b) s (c) l c Let l = -4.07 - -3.67. What is the closest to -3/19 in -1, 0.2, l? l Let x = -51 - -252/5. Let f = 16/95 + -7/19. What is the closest to x in 3, f, 0? f Let g = -10.2 + 10. Let y be (2/35)/((-4)/(-28)). Which is the nearest to y? (a) g (b) -1/6 (c) 4 b Suppose 0 = 3*y - 5 - 1. Suppose -2*v + 12 = y*v. Suppose 19 = -3*t - f - v*f, -2*t = -4*f - 14. What is the nearest to t in -1/4, -1/5, 0.01? -1/4 Let f be (2/114)/((-11)/(-66)). What is the closest to 23 in f, -5, -3, -2/3? f Let u = -15 - 2. Suppose 5 = -2*s + k, -9*k = -4*k + 5. Let x = -1.804 - -2.104. Which is the closest to -2/5? (a) s (b) x (c) u b Let w = -10 + 7. Let p = 89/15 - 28/5. Let z be (912/(-27))/(-8) + -4. Which is the nearest to p? (a) z (b) 0.2 (c) w a Let n = -1/208 + 157/208. What is the nearest to 6 in 1, n, 4, 3/2? 4 Let s = 1966.3 - 1962.3. Suppose -459 + 69 = 5*l. Let m be 8/l*(-3)/2. Which is the closest to 1? (a) s (b) 3/8 (c) m b Let t be -4*1 - ((-38)/9 - 0). Suppose 0 = -5*l + 2*m + 3*m - 30, -l + 4 = 4*m. Which is the nearest to -1/3? (a) t (b) l (c) 3 a Let c = -62.4 - 35.1. Let n = 97 + c. Let s be ((-1)/(-6))/(2/9). What is the nearest to 0.4 in s, n, -4? s Let z = 2.9 - -0.1. What is the closest to 0.1 in -0.1, z, 2, 0? 0 Let n = 178.5 + -178.7. Let s = -56 + 390/7. Which is the closest to s? (a) 0 (b) 5 (c) n c Let q = 54 - 53.9. What is the closest to q in -1, 1/2, -0.4? 1/2 Let c be 2/(-16) - 0/1. Let b = 2.88 - -0.12. Let s = b + -3. What is the nearest to -0.1 in c, s, -0.3? c Let n = 6 - 5.6. Let t = -0.1072 - -0.6072. Which is the closest to 1/3? (a) 1 (b) t (c) n c Let t be (1/6 - 1) + 1 + 0. What is the nearest to -0.2 in -2/9, -3, t? -2/9 Let p = 0.028 + 53.972. Let s = p + -54. What is the closest to s in -2, -5, 2/9? 2/9 Suppose -12*i + 1565 - 1601 = 0. Let h = 0 - 0.2. What is the nearest to 7 in i, 2, h? 2 Let
{ "pile_set_name": "DM Mathematics" }
*2 + 9861*v + 44 What is the y'th term of -45293, -90587, -135885, -181187, -226493, -271803, -317117? -2*y**2 - 45288*y - 3 What is the w'th term of 2293, 2519, 2743, 2965? -w**2 + 229*w + 2065 What is the f'th term of -54283, -108560, -162837, -217114? -54277*f - 6 What is the k'th term of -627221, -627222, -627223, -627224, -627225, -627226? -k - 627220 What is the s'th term of -66442, -132882, -199322? -66440*s - 2 What is the l'th term of 694, 728, 794, 910, 1094? 3*l**3 - 2*l**2 + 19*l + 674 What is the i'th term of 24, 81, 64, -63, -336, -791, -1464, -2391? -6*i**3 - i**2 + 102*i - 71 What is the p'th term of 10957, 10958, 10959? p + 10956 What is the d'th term of -492, -705, -1062, -1563, -2208, -2997? -72*d**2 + 3*d - 423 What is the o'th term of 86, 747, 2536, 6017, 11754? 94*o**3 + 3*o - 11 What is the r'th term of -522, -1914, -4220, -7428, -11526, -16502, -22344, -29040? 2*r**3 - 469*r**2 + r - 56 What is the q'th term of 2857, 5688, 8521, 11356, 14193, 17032? q**2 + 2828*q + 28 What is the f'th term of 21719, 43443, 65167, 86891? 21724*f - 5 What is the w'th term of 3580, 3672, 3764? 92*w + 3488 What is the b'th term of 961, 7734, 26131, 61966, 121053, 209206? 969*b**3 - 2*b**2 - 4*b - 2 What is the g'th term of 20141, 40283, 60425, 80567, 100709? 20142*g - 1 What is the r'th term of 120258, 120266, 120274, 120282, 120290, 120298? 8*r + 120250 What is the d'th term of -7747, -7731, -7713, -7693, -7671, -7647? d**2 + 13*d - 7761 What is the h'th term of 2702, 2358, 1774, 944, -138, -1478, -3082? -h**3 - 114*h**2 + 5*h + 2812 What is the h'th term of 1543, 3040, 5535, 9028, 13519, 19008, 25495? 499*h**2 + 1044 What is the p'th term of 490, 539, 610, 709, 842, 1015? p**3 + 5*p**2 + 27*p + 457 What is the g'th term of -3863, -3849, -3835, -3821? 14*g - 3877 What is the w'th term of -739, -1867, -2995, -4123, -5251? -1128*w + 389 What is the m'th term of 2035, 4018, 5943, 7804, 9595, 11310? -m**3 - 23*m**2 + 2059*m What is the j'th term of 104542, 418170, 940884, 1672684, 2613570, 3763542, 5122600? 104543*j**2 - j What is the u'th term of -34, 63, 350, 923, 1878, 3311, 5318? 16*u**3 - u**2 - 12*u - 37 What is the c'th term of -108, -501, -1174, -2127? -140*c**2 + 27*c + 5 What is the g'th term of 132609, 265221, 397835, 530451? g**2 + 132609*g - 1 What is the g'th term of -4767, -4802, -4837, -4872, -4907, -4942? -35*g - 4732 What is the y'th term of 55201, 110405, 165609, 220813? 55204*y - 3 What is the u'th term of 25620, 51006, 76392, 101778, 127164? 25386*u + 234 What is the b'th term of -339484, -339483, -339482, -339481, -339480? b - 339485 What is the u'th term of 17943, 17938, 17925, 17898, 17851, 17778? -u**3 + 2*u**2 - 4*u + 17946 What is the g'th term of 4097, 16560, 37337, 66434, 103857? g**3 + 4151*g**2 + 3*g - 58 What is the w'th term of 382, 439, 500, 565? 2*w**2 + 51*w + 329 What is the f'th term of -28030, -56056, -84076, -112090, -140098, -168100? 3*f**2 - 28035*f + 2 What is the h'th term of -38588, -77223, -115870, -154535, -193224? -h**3 - 38628*h + 41 What is the r'th term of 262, 723, 1184? 461*r - 199 What is the t'th term of -43184, -43179, -43174, -43169? 5*t - 43189 What is the m'th term of -130445, -130447, -130449, -130451, -130453? -2*m - 130443 What is the s'th term of -365507, -365508, -365509, -365510? -s - 365506 What is the c'th term of 1009, 1968, 2935, 3910, 4893, 5884? 4*c**2 + 947*c + 58 What is the m'th term of -249146, -249144, -249142, -249140? 2*m - 249148 What is the n'th term of 158, 198, 240, 284, 330? n**2 + 37*n + 120 What is the n'th term of -565, -993, -1421, -1849, -2277, -2705? -428*n - 137 What is the b'th term of 1589, 6142, 13719, 24326, 37969, 54654, 74387? b**3 + 1506*b**2 + 28*b + 54 What is the s'th term of -14888, -14805, -14666, -14471, -14220, -13913, -13550? 28*s**2 - s - 14915 What is the j'th term of 51, 144, 307, 546, 867, 1276, 1779? j**3 + 29*j**2 - j + 22 What is the q'th term of -87, -453, -1079, -1977, -3159, -4637, -6423? -2*q**3 - 118*q**2 + 2*q + 31 What is the d'th term of -228, -460, -694, -930, -1168, -1408? -d**2 - 229*d + 2 What is the o'th term of 330, 653, 968, 1275, 1574, 1865, 2148? -4*o**2 + 335*o - 1 What is the y'th term of -12115324, -12115323, -12115322, -12115321, -12115320? y - 12115325 What is the z'th term of 181, 147, 101, 49, -3, -49, -83? z**3 - 12*z**2 - 5*z + 197 What is the o'th term of 1708, 1718, 1732, 1750, 1772, 1798? 2*o**2 + 4*o + 1702 What is the n'th term of 4748, 4702, 4602, 4430, 4168, 3798, 3302? -3*n**3 - 9*n**2 + 2*n + 4758 What is the q'th term of 419807, 419811, 419817, 419825, 419835, 419847? q**2 + q + 419805 What is the l'th term of 8149, 16283, 24417, 32551? 8134*l + 15 What is the w'th term of -14713, -14841, -15061, -15379, -15801, -16333, -16981? -w**3 - 40*w**2 - w - 14671 What is the h'th term of 4, -177, -734, -1871, -3792, -6701? -34*h**3 + 16*h**2 + 9*h + 13 What is the v'th term of 109, 815, 2001, 3673, 5837, 8499, 11665, 15341? v**3 + 234*v**2 - 3*v - 123 What is the m'th term of -4094, -8178, -12262, -16346, -20430? -4084*m - 10 What is the w'th term of 1706, 6809, 15314, 27215, 42506? -w**3 + 1707*w**2 - 11*w + 11 What is the z'th term of 1538, 6150, 13836, 24596, 38430, 55338? 1537*z**2 + z What is the m'th term of 8252, 8186, 8120, 8054, 7988, 7922? -66*m + 8318 What is the m'th term of 3911, 3922, 3933, 3944, 3955, 3966? 11*m + 3900 What is the l'th term of 255, 509, 755, 987, 1199? -l**3 + 2*l**2 + 255*l - 1 What is the t'th term of 31803, 63585, 95361, 127131? -3*t**2 + 31791*t + 15 What is the y'th term of 45, -17, -77, -135, -191? y**2 - 65*y + 109 What is the w'th term of 197, 226, 255, 284, 313? 29*w + 168 What is the r'th term of -167, -444, -735, -1046, -1383? -r**3 - r**2 - 267*r + 102 What is the f'th term of 648, 1217, 1698, 2091? -44*f**2 + 701*f - 9 What is the x'th term of 824, 941, 1062, 1187? 2*x**2 + 111*x + 711 What is the g'th term of -1101, -1334, -1565, -1794, -2021? g**2 - 236*g - 866 What is the u'th term of 116978, 467921, 1052826, 1871693, 2924522, 4211313? 116981*u**2 - 3 What is the y'th term of -3100, -1083, 932, 2945, 4956, 6965? -y**2 + 2020*y - 5119 What is the i'th term of 37463, 37469, 37475, 37481, 37487, 37493? 6*i + 37457 What is the n'th term of -734, -2963, -6686, -11903, -18614, -26819, -36518? -747*n**2 + 12*n + 1 What is the t'th term of -3505, -3511, -3527, -3559, -3613, -3695, -3811, -3967? -t**3 + t**2 - 2*t - 3503 What is the f'th term of -1940, -7793, -17540, -31175, -48692, -70085, -95348? f**3 - 1953*f**2 - f + 13 What is the c'th term of 7, -60, -321, -902, -1929, -3528, -5825, -8946? -21*c**3 + 29*c**2 - 7*c + 6 What is the f'th term of -405, -747, -1085, -1413, -1725, -2015, -2277, -2505? f**3 - 4*f**2 - 337*f - 65 What is the t'th term of -5813, -6862, -7911, -8960? -1049*t - 4764 What is the n'th term of -2360, -4692, -7024? -2332*n - 28 What is the l'th term of 267580, 267578, 267576, 267574, 267572, 267570? -2*l + 267582 What is the w'th term of 6, 63, 156, 291, 474? w**3 + 12*w**2 + 14*w - 21 What is the o'th term of -6252, -12428, -18604? -6176*o - 76 What is the g'th term of 333, 1302, 2907, 5148? 318*g**2 + 15*g What is the y'th term of 1854, 3710, 5568, 7428? y**2 + 1853*y What is the v'th term of 10647, 21318, 31989, 42660, 53331? 10671*v - 24 What is the u'th term of 91594, 91595, 91596, 91597, 91598? u + 91593 What is the v'th term of 7665, 7649, 7633, 7617, 7601? -16*v + 7681 What is the p'th term of -388, -348, -306, -262, -216, -168, -118? p**2 + 37*p - 426 What is the j'th term of 4644, 9277, 13910, 18543, 23176? 4633*j + 11 What is the y'th term of 193, 408, 721, 1180, 1833, 2728, 3913, 5436? 8*y**3 + y**2 + 156*y + 28 What is the b'th term of -3290, -6625, -10004, -13427? -22*b**2 - 3269*b + 1 What is the t'th term of 4, 155, 306, 457? 151*t - 147 What is the b'th term of 1914, 1951, 1988? 37*b + 1877 What is the y'th term of 4200, 4207, 4208, 4203, 4192, 4175, 4152? -3*y**2 + 16*y + 4187 What is the g'th term of -37643, -75281, -112919, -150557, -188195, -225833? -37638*g - 5 What is the n'th term of -10110, -40538, -91286, -162360, -253766? -n**3 - 10154*n**2 + 41*n + 4 What is the w'th term of 17, -204, -679, -1408, -2391, -3628?
{ "pile_set_name": "DM Mathematics" }
cked without replacement from mmmxmmmmmxmmxmxmmm. What is prob of sequence mmm? 91/204 What is prob of sequence yy when two letters picked without replacement from yxxyyxx? 1/7 Calculate prob of sequence shs when three letters picked without replacement from shhhshhshhhshshh. 11/168 Calculate prob of sequence mjm when three letters picked without replacement from {j: 1, n: 2, h: 1, m: 2}. 1/60 Two letters picked without replacement from {h: 8, x: 4, a: 4}. What is prob of sequence hx? 2/15 What is prob of sequence mmmm when four letters picked without replacement from mmqqmmmmm? 5/18 What is prob of sequence ce when two letters picked without replacement from {s: 1, w: 3, e: 3, c: 2, u: 1, t: 2}? 1/22 Three letters picked without replacement from {q: 10, p: 2, h: 1, j: 1}. What is prob of sequence hqp? 5/546 What is prob of sequence kvr when three letters picked without replacement from {v: 1, n: 1, r: 5, k: 2}? 5/252 Three letters picked without replacement from pbbfa. Give prob of sequence fba. 1/30 Three letters picked without replacement from jkkjkkkkk. What is prob of sequence kjj? 1/36 What is prob of sequence nn when two letters picked without replacement from {d: 3, n: 9}? 6/11 What is prob of sequence qym when three letters picked without replacement from qsyqm? 1/30 What is prob of sequence obob when four letters picked without replacement from obobb? 1/10 What is prob of sequence vvvv when four letters picked without replacement from {w: 8, l: 1, v: 6}? 1/91 What is prob of sequence bs when two letters picked without replacement from {s: 3, b: 3}? 3/10 Two letters picked without replacement from uuulluu. Give prob of sequence lu. 5/21 Four letters picked without replacement from {e: 7, m: 3, s: 1, w: 4, v: 4}. Give prob of sequence mwms. 1/3876 Two letters picked without replacement from eeeeeepeeqe. Give prob of sequence eq. 9/110 Two letters picked without replacement from {l: 4, q: 2, x: 4, f: 1, y: 1, d: 2}. Give prob of sequence qx. 4/91 Two letters picked without replacement from itttitiee. Give prob of sequence tt. 1/6 What is prob of sequence ggga when four letters picked without replacement from ggaagg? 2/15 Four letters picked without replacement from {w: 2, s: 7, f: 3, o: 5, t: 1, k: 2}. What is prob of sequence okwf? 1/1938 What is prob of sequence nrcm when four letters picked without replacement from {r: 4, m: 4, h: 5, c: 5, n: 1}? 5/5814 What is prob of sequence honh when four letters picked without replacement from {n: 1, q: 1, o: 2, h: 3}? 1/70 Two letters picked without replacement from ccqlp. What is prob of sequence cl? 1/10 Calculate prob of sequence pq when two letters picked without replacement from pqc. 1/6 Calculate prob of sequence tk when two letters picked without replacement from {f: 1, t: 10, b: 1, k: 3}. 1/7 What is prob of sequence bq when two letters picked without replacement from {b: 4, i: 1, q: 2}? 4/21 Three letters picked without replacement from wwsw. What is prob of sequence www? 1/4 Three letters picked without replacement from {e: 1, f: 9, x: 2, q: 3, n: 3, p: 2}. What is prob of sequence xpx? 1/1710 What is prob of sequence ha when two letters picked without replacement from {m: 3, a: 4, h: 1}? 1/14 What is prob of sequence bkk when three letters picked without replacement from ksksszzzktxzbk? 1/182 Two letters picked without replacement from {t: 15, n: 5}. Give prob of sequence tn. 15/76 Calculate prob of sequence xcc when three letters picked without replacement from ccexxxeax. 1/63 Calculate prob of sequence jkz when three letters picked without replacement from grjrzzjkjrd. 1/165 Calculate prob of sequence inni when four letters picked without replacement from {s: 2, n: 3, i: 4, b: 6}. 1/455 Calculate prob of sequence tui when three letters picked without replacement from uuzgzzzugzgzzgzzzti. 1/1938 Two letters picked without replacement from {s: 7, l: 7}. What is prob of sequence ll? 3/13 What is prob of sequence jes when three letters picked without replacement from eesjj? 1/15 Two letters picked without replacement from {r: 1, g: 1, x: 1, b: 2, z: 1, d: 1}. Give prob of sequence zg. 1/42 Four letters picked without replacement from {a: 3, p: 2}. Give prob of sequence ppaa. 1/10 Four letters picked without replacement from {n: 2, v: 2, a: 1, x: 4, z: 1}. What is prob of sequence xvaa? 0 What is prob of sequence nn when two letters picked without replacement from knng? 1/6 Calculate prob of sequence lxz when three letters picked without replacement from llxxxlzlllxllxxllz. 5/204 What is prob of sequence mm when two letters picked without replacement from qqmqmmdmmmqmqmmqmqm? 55/171 Four letters picked without replacement from ccsscsss. What is prob of sequence scss? 3/28 Four letters picked without replacement from nndnnnndndd. Give prob of sequence dndd. 7/330 Four letters picked without replacement from wfwwfffffffffwwfwu. What is prob of sequence uwfw? 11/2448 Two letters picked without replacement from cxaktkxkxxcxkkct. What is prob of sequence kt? 1/24 Calculate prob of sequence llfl when four letters picked without replacement from {f: 1, l: 19}. 1/20 Three letters picked without replacement from {u: 1, t: 1, e: 1, x: 1, s: 2, k: 1}. What is prob of sequence esu? 1/105 Two letters picked without replacement from {p: 4, f: 2}. What is prob of sequence ff? 1/15 Two letters picked without replacement from ceckckseeeyeckeeee. What is prob of sequence es? 1/34 Calculate prob of sequence ba when two letters picked without replacement from aoaoabboaooaa. 1/13 Four letters picked without replacement from ummummummmmumm. What is prob of sequence mmum? 120/1001 Two letters picked without replacement from {w: 2, v: 4}. What is prob of sequence wv? 4/15 What is prob of sequence ammm when four letters picked without replacement from {a: 2, m: 3}? 1/10 Two letters picked without replacement from hhc. Give prob of sequence hh. 1/3 Three letters picked without replacement from {i: 1, t: 3, e: 1, s: 3, f: 6}. What is prob of sequence set? 3/728 What is prob of sequence zzlh when four letters picked without replacement from tzttlttlhhtzh? 1/1430 What is prob of sequence ii when two letters picked without replacement from {s: 2, t: 1, a: 1, i: 3, e: 6}? 1/26 Three letters picked without replacement from kuymkmqkmukjkumqq. What is prob of sequence yuj? 1/1360 Calculate prob of sequence yff when three letters picked without replacement from sysfrqfu. 1/168 What is prob of sequence rgro when four letters picked without replacement from frgfrrogr? 1/126 Three letters picked without replacement from {w: 2, r: 1}. Give prob of sequence rww. 1/3 What is prob of sequence mjmj when four letters picked without replacement from {e: 2, j: 2, m: 5}? 5/378 Calculate prob of sequence rc when two letters picked without replacement from {r: 4, c: 2}. 4/15 What is prob of sequence jw when two letters picked without replacement from {q: 1, b: 5, w: 5, i: 7, j: 1}? 5/342 What is prob of sequence ww when two letters picked without replacement from {w: 12, a: 7}? 22/57 Three letters picked without replacement from fijttfwrfffwfjwfj. Give prob of sequence www. 1/680 Two letters picked without replacement from {g: 3, i: 3}. What is prob of sequence ii? 1/5 Calculate prob of sequence ztz when three letters picked without replacement from zzztezettlllteteetl. 4/323 Two letters picked without replacement from {s: 1, q: 2, p: 4, j: 1}. Give prob of sequence sp. 1/14 Three letters picked without replacement from fjhujjbzhfhzf. What is prob of sequence zfb? 1/286 Calculate prob of sequence yt when two letters picked without replacement from ttyytqtyytqtty. 5/26 Three letters picked without replacement from {q: 17, t: 3}. Give prob of sequence qqt. 34/285 Calculate prob of sequence wwi when three letters picked without replacement from {w: 2, i: 1, a: 2}. 1/30 What is prob of sequence ag when two letters picked without replacement from idgdimdadmdyiii? 1/210 Calculate prob of sequence wws when three letters picked without replacement from swswssssssss. 1/66 Two letters picked without replacement from {m: 4, h: 1, j: 2, o: 2, f: 3, d: 6}. What is prob of sequence oo? 1/153 Calculate prob of sequence ttqq when four letters pi
{ "pile_set_name": "DM Mathematics" }
orm z*x**2 + k + w*x and give z. -17 Rearrange 1 - 2*g - 5 + 4 to the form k*g + x and give k. -2 Express -3*q + 7*q - 23*q in the form b + s*q and give s. -19 Rearrange -11*m**2 - 25*m**2 + m**2 to the form n*m + o + l*m**2 and give l. -35 Express 0 - 3*j**2 + 0 + (-3 + 2*j**2 + 3)*(-6 + 3 + 1) as p*j**2 + s*j + i and give p. -7 Express 21 + 29 + i + 11 - 23 in the form d + f*i and give d. 38 Express -17*r - 4*r + 32*r + 34*r in the form f*r + w and give f. 45 Express -45*a**3 + 2*a - 72*a**2 + a**4 + 72*a**2 - 1 as j*a**2 + u*a**4 + g*a + v*a**3 + c and give v. -45 Express -k**3 - 4*k + 6*k - 2*k - 7*k**2 as v*k + b + g*k**3 + m*k**2 and give m. -7 Rearrange 7 - 5 - z + 0 + 0 + 6*z**2 to the form q + s*z**2 + d*z and give d. -1 Express (-r**2 + r**2 - r**2)*(9 + 6*r - 9)*(0 - 2 - 1) in the form z*r + d + y*r**2 + n*r**3 and give n. 18 Express (0 - 1 + 4)*(0 + 4 + 2)*(2 - 2*i**4 - 2) as z*i**4 + p*i + y*i**2 + f + k*i**3 and give z. -36 Express 4 + 0 - 4 + 2*k in the form y*k + f and give y. 2 Rearrange 0*u**4 - 91 + u**3 + 86 + u**4 to the form z + d*u**2 + n*u + f*u**3 + b*u**4 and give b. 1 Rearrange 3*z**3 + 33*z - 17*z**3 + z**2 - 34*z to the form a*z**3 + o*z**2 + x*z + s and give x. -1 Rearrange (3 + 3558*r - 1748*r - 1768*r)*(-4 + 3 + 0) to q + o*r and give q. -3 Express -2 + 2 + 23*t - 2*t**2 - 22*t in the form q + b*t + a*t**2 and give b. 1 Express 12*v + 1 - 8*v - 1 in the form t*v + y and give t. 4 Express -r + 2*r + 3172 + 0*r - 3105 in the form g + w*r and give g. 67 Express 2*f**3 - 2*f**4 - 4*f**3 + 3*f**4 + (-6 + 6 - 2*f**2)*(3 - f**2 - 3) in the form m*f**4 + u*f**2 + t + i*f**3 + l*f and give m. 3 Rearrange 3*f**2 + 16*f**2 + 6*f**2 - 4*f**2 to the form c*f + v*f**2 + j and give j. 0 Rearrange d**2 + 3*d**2 - 7*d**2 - 16*d**2 to z + h*d + q*d**2 and give q. -19 Rearrange 3*n + 322 - 322 to g + l*n and give l. 3 Express (3*q + 3*q - 3*q)*(13*q - 14 + 14) as t + b*q + v*q**2 and give v. 39 Express -6*y + 7*y - 7*y**2 + 6*y + 4*y**2 as n*y + m*y**2 + c and give n. 7 Rearrange (0*a + a + 0*a)*(-3 + 1 + 1)*(2 - 2 - 2) to the form c + z*a and give z. 2 Express -3*r**3 + 4*r**2 - 2*r**2 - 43 + 51 in the form g*r + t*r**3 + y + c*r**2 and give c. 2 Express i**3 - i**2 + 6045*i**4 - 6044*i**4 - i + 0*i**3 as f + c*i**3 + u*i + y*i**2 + n*i**4 and give f. 0 Express x + 3*x**2 - 5*x**2 - x**3 + x + 3 - 4 in the form s*x**2 + i*x + z + q*x**3 and give q. -1 Express (0 + r + 0)*(2*r - 2*r + r**3) + (0*r**2 + r**2 + r**2)*(3*r**2 + r**2 + r**2) as h*r + t*r**4 + g*r**3 + b + i*r**2 and give t. 11 Rearrange 5*b**3 - 2*b + 0*b**3 + 3*b**2 + 4*b**3 - 5*b**3 to h*b**3 + z*b**2 + g*b + j and give z. 3 Rearrange (-3*s**2 + 3*s**2 - s**3)*(-3 - 3 + 7) to the form j*s + t*s**3 + p + i*s**2 and give t. -1 Rearrange (5*r**2 - 2*r**2 + 25*r**2)*(4*r + 0*r - 3*r)*(-3*r + 3*r + r) to the form l*r**3 + p*r**4 + s*r**2 + m + d*r and give p. 28 Rearrange 2*l**3 - 5*l**2 - 12*l**2 + 28*l**2 - 15*l**2 - 3*l to x*l + s + m*l**2 + w*l**3 and give w. 2 Rearrange (-3 - 3 + 7)*(0*o**2 + 0*o**2 + 6*o**2) + (-2*o + 2 - 2)*(3*o + o - 3*o) to w + v*o**2 + p*o and give v. 4 Rearrange -4 + 4 - 7*y**2 to r + k*y + j*y**2 and give j. -7 Express -128 - 16*k - 71*k + 128 as r + o*k and give o. -87 Express 5 + a + 0 + 26 as q*a + p and give q. 1 Express -15*l**2 + 40*l**2 + 42*l**2 + (2*l + 2*l**2 - 2*l)*(3 - 5 + 4) as v + j*l**2 + y*l and give j. 71 Express -5*j + 5*j**4 + 5*j**2 - 7*j**4 + 3*j as z*j**3 + k*j + c*j**4 + t*j**2 + v and give k. -2 Express 0 + 3 + q**4 - q**2 - 3*q**4 - q**2 as x*q + f + r*q**2 + n*q**3 + z*q**4 and give f. 3 Express (7*r**4 - 6*r**4 + 6*r**4)*(-1 - 2 + 1 + (3 - 3 - 1)*(-1 - 2 + 4) + (1 + 1 - 5)*(0 - 2 + 4)) in the form u*r**4 + h*r + q*r**2 + x*r**3 + a and give h. 0 Rearrange -3*x + 4*x**2 + 0*x**2 + 6*x**2 to the form r*x + f*x**2 + g and give f. 10 Rearrange (-9*s + 18*s - 15*s)*(49 - s - 2*s**2 - 49) to the form u*s**3 + h*s + j*s**2 + y and give u. 12 Express (3*h - 2*h + 0*h)*((-h + h - h)*(1 + 2 - 6) + 3*h - 3*h - h) in the form k*h + z*h**2 + a and give z. 2 Rearrange (-20 + 95 - 1)*(s + 2*s - s) + s + 2*s - 4*s to d*s + o and give d. 147 Rearrange -6 + 8 - 8 - 3*q**2 to the form k + s*q + v*q**2 and give k. -6 Express 7 - 4 - 2*h - 3 + 4*h**3 as t*h**2 + c + v*h + u*h**3 and give v. -2 Express (4 - 7 - 3)*(0 + 5 - 3)*(3*y - y**2 - 3*y) in the form c*y**2 + x + w*y and give c. 12 Rearrange 21*l - 8*l - 34*l - 33*l to the form a + b*l and give b. -54 Express -5*v + 1 + 2 + 6 + 10*v in the form i*v + u and give i. 5 Rearrange (a**2 + 1 - 1)*(-9*a - 22 + 12 + 8) to b + p*a + r*a**3 + u*a**2 and give p. 0 Rearrange 3 + 0*c**2 + 1 + 3 - c**2 to the form b*c**2 + r + o*c and give r. 7 Rearrange s**4 + s - s - 3*s**3 - 2*s**2 to n*s + y*s**3 + i*s**2 + f*s**4 + u and give y. -3 Express -3 - 3*q**3 - q + 13*q - 6*q - 4*q as u*q + j + x*q**2 + y*q**3 and give y. -3 Express (-d**3 - 23*d**2 + 23*d**2 - 2)*(-d - d + 0*d) as u*d + g*d**2 + b*d**3 + r + k*d**4 and give u. 4 Rearrange 73 - 36 + 4*d**2 - 14*d - 36 to p + m*d**2 + q*d and give m. 4 Express 12*y - 13*y - 7*y - 7*y as r + m*y and give m. -15 Express (4 - 4 + k)*(4*k**3 + 4*k**3 - 6*k**3)*(-3 - 1 + 8) in the form z + i*k**4 + s*k + u*k**3 + o*k**2 and give i. 8 Rearrange -2*q - 24*q + q to o + t*q and give t. -25 Rearrange -h + h**2 + h**2 + h**3 - 3 + h**2 + 2*h**4 - 3*h**4 to the form o*h + m + z*h**3 + q*h**2 + w*h**4 and give w. -1 Rearrange (-h**3 - h**3 + 3*h**3)*(4 - 3 + 0 + (1 + 2 - 2)*(-2 + 0 + 3) + 0 - 3 + 2) to c*h**2 + g*h + r*h**3 + d and give r. 1 Rearrange 0*r**2 + 0*r**2 - r**2 + (2*r + 0*r - r)*(5*r - 2*r + 3*r) to y*r + d + o*r**2 and give d. 0 Rearrange ((-3 + 0 + 1)*(0 - 4*b + 0) + 0*b - 2*b + 3*b + 5*b - b - b)*(-3 + 3 + 2) to m + v*b and give v. 24 Express (-2*t + 2*t - 3*t)*(4*t - 4*t - t)*(17 + 2 + 6 - 2*t) in the form p*t**2 + i*t + k*t**3 + l and give p. 75 Rearrange -15*p - 144*p - 11*p - 42*p to o + x*p and give x. -212 Express 21 - 3*g**2 - 14 - g**3 + 5*g - 7 as z*g**3 + v*g + f + k*g**2 and give z. -1 Rearrange (3 + 0*o - 7*o - 1)*(8 + 1 - 3) to q + x*o and give x. -42 Rearrange -2 - 1 + 8 + 2*q to t*q + l and give l. 5 Express 10*u**3 + 0*u**3 - 6 - 4*u**3 - 5*u**3 as c*u**3 + t*u + k + z*u**2 and give c. 1 Rearrange (-3*c**2 + c**2 + 0*c**2)*(-c - c + 0*c) + (0*c**2 + 0*c**2 - c**2)*(-c - 4 + 4) to the form o*c**3 + k*c + j*c**2 + t and give o. 5 Express (3 - 1 - 3)*(-3 + 2 + 5)*(-4 + 4 - 1)*(1 + 5 - 5)*(0*l + 0*l - 2*l) as i*l + s and give i. -8 Express -8*v + 2*v - 1 - v**4 - 4*v**3 + 5*v**3 + 3*v**4 in the form f*v**4 + h + d*v + o*v**3 + c*v**2 and give o. 1 Rearrange -1 + 1 - 2*c**2 + (-c**2 + 3*c + 2*c**2 + c**2)*(-3 - 1 + 2) to t*c**2 + n + h*c and give t. -6 Express (4*r - 3*r + 2*r)*(r - 2 + 2)*(r - r + 2*r**2) in the form q*r**4 + i*r**3 + s + k*r + y*r**2 and give q. 6 Express -4 + 1 + s + 5 + 5*s**2 + 0*s**2 as v*s + a + t*s**2 and give t. 5 Rearrange -2*g**2 - 3*g + 2 + 8 - 11 + g**2 + g - g - 3*g**2 + 4*g**2 + g**2 + (-4*g - 3*g + 5*g)*(-2*g + 2 - 2) to the form w*g + k + m*g**2 and give w. -3 Rearrange (3*o**2 - 2*o**2 + 5*o**2)*(-16*o + o**2 - 2*o**2 + 2*o) to the form s*o**2 + y*o**4 + z*o**3 + w + t*o and give z. -84 Rearrange 4 + 0*b**2 + 1 + 2*b**2 to f*b**2 + z + w*b and give z. 5 Express -4*p - 1 + 2*p + 0*p + (p + 0*p + p)*(5 + 2 - 4) as x + c*p and give x. -1 Express -t**2 + t**2 - 2*t**2 + (-1 + 0 - 2)*(1 - t**2 - 1) as n*t**2 + c*t + f and give n. 1 Rearrange 44*o + 8*o + 12*o to the form i*o + w and give i. 64 Express (-3 - 1 + 3)*(0 + 0 + 2*z)*(-2 + 1 + 3) as y*z + g and give y. -4 Rearrange (3 - 2 - 2)*(-3*o - 4*o + 6*o) + (-2*o - o + o)*(4 - 1 - 1) to w*o + y and give w. -3 Rearrange 2347 - 2347 + 2*v**2 to j*v**2 + d + g*v and give j. 2 Rearrange -1 + 25*o - 43*o + 26*o to m*o + g and give m. 8 Rearrange -3*r - 7 + 4 + 4*r**3 + 2*r + 1 - 2*r**2 + 3*r**4 to the form j*r**4 + d + h*r + i*r**3 + n*r**2 and give n. -2 Rearrange -n**3 + 2*n**2 + 3 + 473*n - 475*n - 1 to o*n + x*n**2 + u*n**3 + a and give o. -2 Express -4*r**2 - 2*r**2 + 4*r**2 + (r + 2*r - 4*r)*(-r + 2*r + 0*r) in the form q*r + x + j*r**2 and give j. -3 Express (-2*y + 2*y + y)*(3 + 3 - 4) - 3*y + 3*y - 2*y - 3*y + 0*y + 2*y + (-5 + 2 + 2)*(5 - 5 - 2*
{ "pile_set_name": "DM Mathematics" }
be p(13). Suppose -m*f - 3*l = -4*l - 4, -f - 3*l = -9. Calculate the greatest common divisor of f and 33. 3 Suppose 0 = h + 37 - 154. What is the highest common divisor of 13 and h? 13 Let l = 213 + 29. Suppose -k + l = k. Let o = -195 - -206. What is the greatest common factor of k and o? 11 Suppose 0 = -6*r + 19 + 17. Calculate the highest common divisor of 15 and r. 3 Suppose -a - 2*a + 6 = 0. Suppose -5*x + 589 = 4*k, -a*k + 3 = 1. Calculate the highest common factor of x and 13. 13 Let q(l) = -2*l - 6. Let x be q(-8). Calculate the greatest common divisor of 60 and x. 10 Let c(f) = -5*f**2 + 5*f + 1. Let m(s) = s**2 - s - 1. Let u(n) = c(n) + 6*m(n). Let o be u(5). What is the greatest common divisor of o and 120? 15 Suppose -2*l - 42 = -3*i, -5*l - 5 - 22 = -i. What is the highest common factor of 84 and i? 12 Suppose -140 = 7*v - 12*v. What is the highest common factor of 7 and v? 7 Suppose 4*d - 63 = -3*s, -3*d + 7*d = 4*s - 112. What is the highest common factor of s and 5? 5 Suppose 5*i - 3*z = 471, i + 5*z - 106 + 23 = 0. What is the greatest common divisor of i and 62? 31 Let t(q) = 1 + 0 + 0*q + 0 - 2*q. Let i be t(-3). Suppose 8 = 5*v - i. What is the highest common factor of v and 3? 3 Suppose 4*n - 5 = 3. Let t be 72/16 - 1/n. Suppose 2*o - 37 = -v, -4*o + 69 = -t*v + 5*v. Calculate the greatest common factor of o and 32. 16 Let i(a) = a**2 + 11*a + 22. Let g be i(-11). Calculate the highest common divisor of g and 55. 11 Let c = 28 - 18. Let q(x) = 3*x**2 - 7*x + 5. Let k be 48/30*(-5)/(-2). Let m be q(k). Calculate the greatest common divisor of c and m. 5 Let g(l) = l**2 + 4*l - 8. Let s be g(6). Let d be (-2 + 3)*-1*-13. Calculate the highest common divisor of d and s. 13 Suppose -3*t + 6 = 3*a + 2*t, t + 8 = 4*a. Suppose b = -2 + 6. Let g be (4 - -8)*a/b. What is the highest common factor of g and 12? 6 Let w be 6*-5*2/(-30) - -33. Suppose -3*t + 5 = -16. What is the highest common divisor of w and t? 7 Let c(x) be the third derivative of x**6/120 - x**5/20 + 5*x**4/24 - 2*x**3/3 - 3*x**2. Let h be c(3). Calculate the greatest common divisor of 1 and h. 1 Let s(d) = 5*d**2 - 2*d + 4. Let x be s(4). What is the greatest common factor of 19 and x? 19 Let d(y) = 5*y**2 - 3*y + 1. Let c be d(2). Suppose -3*f + c = 0, -50 - 31 = -4*q + 3*f. What is the highest common divisor of q and 3? 3 Let u(j) = -j**3 - 5*j**2 - 8*j - 9. Let h be u(-4). Calculate the greatest common factor of h and 21. 7 Let p(w) be the second derivative of w**4/12 + 5*w**3/6 - 7*w**2/2 + w. Let d be p(-7). What is the greatest common factor of d and 7? 7 Let x = 218 - 130. Suppose d + x = 2*d. What is the highest common factor of 11 and d? 11 Let w = -59 - -72. Calculate the highest common divisor of w and 117. 13 Let p(r) = -18*r - 2. Let t be p(-2). Calculate the highest common factor of t and 51. 17 Let a = -711 + 1060. Suppose 0 = -c - 0*x - x + 86, 0 = 4*c + 3*x - a. Calculate the greatest common divisor of c and 13. 13 Let a be (6 + -1)*(-4 - -5). Suppose 4*b + 3 = -4*w + 11, 0 = 4*b + a*w - 6. Let y = 9 - b. Calculate the greatest common divisor of y and 40. 5 Let y = 24 - 0. Suppose 0 = 3*r - t - 8, r = -0*r - 5*t - y. Let v(i) = 17*i**2 + 2*i - 1. Let x be v(r). What is the highest common factor of 198 and x? 18 Suppose 6*v = 2*v. Suppose v = -2*j - j + 360. Let t be 16/6*18/1. Calculate the greatest common factor of t and j. 24 Let p be (-2)/(-2) + -2 + 5. Calculate the greatest common factor of 1 and p. 1 Let h(u) = u**3 - 7*u**2 - u + 9. Let y be h(7). Let o be ((-170)/(-2) - y) + 3. Suppose -35 + o = 3*t. Calculate the greatest common divisor of 34 and t. 17 Let t be (-2)/5 - (-65)/(-25). Let n be (-48)/((-5)/t + -2). Calculate the greatest common divisor of n and 16. 16 Suppose y - 40 = -3*y. What is the highest common divisor of y and 50? 10 Suppose -u = -a - 3 - 12, -9 = 3*a. Suppose 4*r - 3 = 1, -2*z - 2*r = -170. What is the greatest common factor of z and u? 12 Let s(n) = n**2 - 8*n + 1. Let p be s(9). Let r(k) = -k**2 + 10*k + 9. Let x be r(p). Suppose 0 = 4*j - x*j + 10. What is the greatest common factor of j and 8? 2 Let z = 15 + -7. Suppose z = n - 0. Calculate the highest common divisor of n and 88. 8 Let f be (-2)/((4 - 2) + -1). Let q be 0/f + 4 + -4. Suppose -4*l + 240 = -q*l. Calculate the highest common factor of l and 24. 12 Let f(n) = n**3 + 10*n**2 - 3*n - 18. Let w be f(-10). Calculate the highest common divisor of 132 and w. 12 Let p = -116 - -125. What is the greatest common factor of 2 and p? 1 Let q = -141 + 231. Calculate the highest common divisor of q and 18. 18 Let w(g) = g**2 - 7*g + 10. Let b be w(11). Suppose -5*u + 58 = 2*a - 4*u, b = 2*a - u. What is the greatest common divisor of 14 and a? 14 Let b(k) = 2*k**2 - 2*k - 1. Let d be b(3). Let u(h) = -9*h - 3. Let p be ((-6)/4)/((-12)/(-32)). Let t be u(p). What is the highest common factor of t and d? 11 Let u = -22 - -43. Suppose -r + 43 = -u. Calculate the greatest common divisor of 16 and r. 16 Suppose v + 22 = -3*l + 92, -3*l - 95 = -2*v. Let y = v + -27. What is the highest common divisor of y and 42? 14 Let r = 69 - 39. Let d(t) = 0*t + 11*t**2 + 6 - 5*t - 11 - t**3. Let l be d(10). Calculate the highest common divisor of r and l. 15 Suppose -82*f + 70 = -77*f. What is the highest common factor of f and 21? 7 Suppose -5*g + 9 = -16. Let s(x) = x**3 - 4*x**2 + 5*x + 6. Let v be s(g). Calculate the highest common divisor of 14 and v. 14 Suppose u + 4*o = -2*u + 802, 3*u - 800 = -2*o. Calculate the greatest common factor of u and 14. 14 Let u = -55 - -74. Calculate the greatest common factor of 171 and u. 19 Let r(n) = -2*n. Let h be r(-4). What is the greatest common factor of h and 1? 1 Suppose 3 = -2*u + 29. Suppose 4*i = 2*i + 78. What is the greatest common factor of u and i? 13 Suppose 0 = 2*z - 3 + 17. Let i = 15 + z. Calculate the highest common divisor of 64 and i. 8 Suppose -u + k = -2*u, 4*k = -2*u - 10. Calculate the highest common divisor of 55 and u. 5 Let x be 1 + -3 - (5 - 2). Let h(w) = w**2 - 2*w - 6. Let m be h(x). Calculate the highest common factor of 116 and m. 29 Let v = 5 + -1. Suppose 2*z = -3*z + 55. Suppose -3*c - 4 = 5*p, 3*c - z = 4*p + 3. What is the greatest common factor of v and c? 2 Suppose -75 - 240 = -5*a. Calculate the highest common divisor of a and 9. 9 Suppose -5*w - 8 = -9*w. Calculate the highest common divisor of 22 and w. 2 Suppose v - 5*v = 0. Suppose v*m = m. Let g be 3 - (2 + m) - -18. What is the greatest common divisor of g and 19? 19 Suppose 4*y = -d - y + 15, -3*d - 4*y + 23 = 0. Suppose 0 = -d*x + 2*u - 36 - 4, 2*x = u - 17. Let b = x + 83. Calculate the highest common divisor of b and 7. 7 Let t = 83 - 43. Let o be 0 - -1 - (-15 + 0). Calculate the greatest common factor of t and o. 8 Suppose 3*g - 1 = -r, -r = -g + 4 - 5. Let v be (-8)/(-2) - (-15)/r. What is the highest common factor of v and 19? 19 Let v = -9 - -5. Let a = v + 0. Let w = 6 + a. Calculate the highest common factor of w and 1. 1 Let b be -4 + 56/12 + (-4)/(-3). What is the highest common factor of 10 and b? 2 Suppose 18*w - 160 = 2*w. Calculate the highest common divisor of w and 65. 5 Let g = 21 - 10. Suppose -5*b = -4*y + 19, b - 49 = -3*y - y. Calculate the highest common factor of g and y. 11 Let m = 12 + 5. Calculate the highest common divisor of 187 and m. 17 Let l = -25 - -64. What is the greatest common factor of 195 and l? 39 Let a = 15 - -15. Calculate the highest common divisor of a and 12. 6 Suppose -4*i + 2*h + 28 + 22 = 0, -5*i + 4*h = -64. Suppose 2*k - 43 = -5*g, 4*g = -3*k - 5 + 73. What is the highest common factor of i and k? 12 Let j = 5 - 3. Let w(f) = -5 + 2*f - 2*f**j + 3*f**2 - f**2 + f**2. Let d be w(-5). Calculate the highest common factor of 10 and d. 10 Suppose f - 7 - 4 = 0. Let x be (-1 - -2)*-1*1. Let l be 3/x - -12*3. What is the highest common factor of l and f? 11 Let t be (0 + -16)/(2/2). Let h be (171/4)/((-4)/t). Suppose 5*u - z - 6 = h, 2*u + z = 75. Calculate the highest common factor of 4 and u. 4 Let y(t) = t**2 + t. Let b be y(3). Let j = 33 + 27. Calculate the greatest common divisor of j and b. 12 Let j = -21 - -36. Calculate the greatest common divisor of j and 15. 15 Let i(w) = -7*w - 4.
{ "pile_set_name": "DM Mathematics" }
- -36. -3424814 Add together -5 and -91432064. -91432069 What is the distance between 1393415494 and -2? 1393415496 -31494184 - 9 -31494193 Put together 3026648605 and -2. 3026648603 Total of -4.209698 and 0.318. -3.891698 Calculate -2562.59 + 0.008465. -2562.581535 Total of 92459.5 and 0.06. 92459.56 -19736831 + -5 -19736836 What is 102 - 0.071914042? 101.928085958 Calculate 2145227230 + 5. 2145227235 What is the difference between 51 and 3473.78? 3422.78 Calculate -3 - 523885. -523888 Add 1290071051.1 and 2. 1290071053.1 -0.0274 + -59.497 -59.5244 What is 0.4 less than -754.57072? -754.97072 Total of -86 and 88649. 88563 48.6958 - -0.14 48.8358 Add 0.4 and -7624725. -7624724.6 Sum 0.7 and -174167.4123. -174166.7123 Work out -5497.1384 - -3. -5494.1384 What is -1945544.3 - -34? -1945510.3 What is the distance between 0.04 and -17112061? 17112061.04 Total of 333420.36 and 170.2. 333590.56 What is -77396264 take away -4? -77396260 Subtract 3080 from -2229.3. -5309.3 What is 1.43 + -332097? -332095.57 What is -0.1278275 minus -743? 742.8721725 What is -359907.3529 minus 0.7? -359908.0529 Calculate -9192086 + -0.00151. -9192086.00151 What is 913393 - 4? 913389 -733 - 4115992 -4116725 What is -24943 less than 0.4? 24943.4 What is 0.01758 take away 0.49775? -0.48017 What is -4.677491 plus -0.28? -4.957491 Put together 0.2 and -14111275. -14111274.8 0.3 - 324782.78 -324782.48 Calculate 0.6 + 23.74893. 24.34893 Work out 1 + -23846996931. -23846996930 What is 0.08921103 plus 426? 426.08921103 Add together -138447 and -290. -138737 Total of -50968611 and 0.049. -50968610.951 Subtract -8.9584 from -30.3. -21.3416 Total of -304.688 and 0.4. -304.288 Subtract -529.385 from -1.9. 527.485 315 - -50.641 365.641 Work out -161025 - -2794. -158231 What is -18468.0305 take away 0.4? -18468.4305 Calculate 0.07 + 76289.9. 76289.97 Put together 93155 and 0.0558. 93155.0558 What is 4330715.33 minus -0.5? 4330715.83 -1.822 - -1.298 -0.524 Work out -1.1 + 166878265. 166878263.9 Calculate 1098378 + 3910. 1102288 Calculate -5 + 19.55177. 14.55177 What is -3 + 6484.876? 6481.876 What is -2.399314 less than 1160? 1162.399314 Sum -31119 and -0.018. -31119.018 Add 0.2983 and -1273.88. -1273.5817 What is 95.7 less than -5476474? -5476569.7 What is -22896654 minus -198.5? -22896455.5 Add together -2 and 97776.297. 97774.297 Sum -0.221 and 5492. 5491.779 Calculate -0.503 + -8101655. -8101655.503 What is 182608.42186 plus -0.5? 182607.92186 Add -0.5 and 1027004. 1027003.5 What is the distance between -4451.26 and 0.13826? 4451.39826 What is 0.2 plus -26460174? -26460173.8 -843 - 3377646 -3378489 Put together -0.2 and 594.4629317. 594.2629317 Work out 0.4 + -10395148. -10395147.6 What is -26463354 + -0.5? -26463354.5 Add together -3195 and -0.27089. -3195.27089 Add together 18009109 and -27. 18009082 Calculate 5 + -18.141966. -13.141966 Total of 0.008 and -2865.76. -2865.752 Total of -4539 and 313.65. -4225.35 Calculate 302500 + 0.462. 302500.462 Calculate -664713194 - -0.3. -664713193.7 Work out 26 - 198832878. -198832852 Add 13666460.5 and 0.03. 13666460.53 -0.055791 - 6478 -6478.055791 Calculate -373660 + -0.0535. -373660.0535 Sum 4.55 and -1090174.2. -1090169.65 Calculate 3479865 + -9. 3479856 Calculate -0.2011 - 2.0536. -2.2547 What is -1473.7 less than -5.289? 1468.411 What is 9 take away 0.0540519? 8.9459481 Subtract 2.8 from 978609. 978606.2 Work out 0.028 - 0.0342064338. -0.0062064338 What is 98933607 plus -0.29? 98933606.71 What is -1.6 - -0.03743801? -1.56256199 What is -3 plus -4268820.7? -4268823.7 Work out -8.489726 + 16.2. 7.710274 Work out -4018.025 - 0.0618. -4018.0868 757.5 + -12.5244 744.9756 Sum -35 and -828697. -828732 Subtract -3.6 from -1369947984. -1369947980.4 Add -375730.54 and 10. -375720.54 Work out 0 + 5499013291. 5499013291 What is -14837294356 + -0.3? -14837294356.3 What is 0.4 take away -103979262? 103979262.4 18.06354 + -228.8 -210.73646 449556 - 41888 407668 Add together -0.1363861 and -0.17. -0.3063861 Calculate 25.59 - -3.7144. 29.3044 What is -149441 plus -0.61? -149441.61 -0.0336494 - 0.5 -0.5336494 Subtract -0.2 from 290386212. 290386212.2 What is 0.1 take away -6896949663? 6896949663.1 Subtract -102.87839 from -49.6. 53.27839 What is -51342 + 2335? -49007 Calculate 21 - 616666. -616645 17+146369 146386 26.37+-4.60388 21.76612 What is 1649.5546 - -0.1? 1649.6546 What is 0.1 plus -5043.045? -5042.945 What is 1.9 less than 19039506? 19039504.1 Add 29.5359 and -2.547. 26.9889 Work out -46248422 - 0.05. -46248422.05 Work out 254988810 - -1. 254988811 Put together 0 and -69266.339. -69266.339 Work out 4.57 + -945330.8. -945326.23 Total of -2677771 and -0.013. -2677771.013 -309+-20801.0277 -21110.0277 What is -1835548 - -3003? -1832545 -0.5 + 1918.62615 1918.12615 Put together -184281 and -1.982. -184282.982 -45.17608 + -165 -210.17608 Put together 1163193 and 1. 1163194 Add together -3046.361941 and 0.4. -3045.961941 Work out -1606251 + 0.0181. -1606250.9819 Sum -3938961 and -625. -3939586 What is -5.71562 - 2102? -2107.71562 What is 2.4373 minus -1445? 1447.4373 Sum -0.4045 and -3209925. -3209925.4045 What is -48497.6 - -1302? -47195.6 Total of -2.496 and -15.4456. -17.9416 Add together -0.033 and -12726.7. -12726.733 What is the distance between -878.7 and -213652? 212773.3 What is 10.4827 less than -66? -76.4827 Calculate 3.43 + 114378. 114381.43 What is 2419236975 + -53? 2419236922 What is the difference between -12 and 469532.2401? 469544.2401 What is the distance between 1729332 and 11.7? 1729320.3 Add 1.88 and 542.08216. 543.96216 What is -1016460 less than 3.7? 1016463.7 107.9 + -0.0775 107.8225 What is 6070461508 minus 2? 6070461506 -2347561987 + -3 -2347561990 69597 - 24869.3 44727.7 Total of 5.2273 and -27. -21.7727 What is the distance between -61.603 and 272994? 273055.603 Calculate 150343500 - -2.1. 150343502.1 What is -0.5 plus 3513446? 3513445.5 0.18072128+0.09 0.27072128 What is 0.3 - 1.1666495? -0.8666495 Work out -1000 - -610. -390 Calculate 95476050 - -0.3. 95476050.3 What is -0.12 minus 13704.3464? -13704.4664 Add together -26141 and -360402. -386543 What is 17.87235 less than 4? -13.87235 Put together 2823.97 and -5714. -2890.03 Total of -0.3 and -3384083.927. -3384084.227 What is the difference between 0.093 and -5.2913? 5.3843 Put together -6242682673 and -1. -6242682674 What is 6.86171 plus 0.34? 7.20171 -1.9+-1.17820601 -3.07820601 Subtract -403.96 from -0.08. 403.88 Add together 3.34 and -0.3694. 2.9706 113144482 + -0.015 113144481.985 Work out 6 - -32207220. 32207226 What is -71884 minus 8923? -80807 -1505341780 - -5 -1505341775 What is -0.25658 take away 99.6? -99.85658 What is 1 plus 197816? 197817 9615 + -3896 5719 Add together -24.8 and 566.71. 541.91 What is 8.5 take away -167.227? 175.727 Calculate -35416 + -1.617. -35417.617 Work out -1.5 - 3951851. -3951852.5 Total of 0.1613085 and -0.053. 0.1083085 250283.443+0.1 250283.543 -50729 + -1.51 -50730.51 Add together -87.271602 and 14.5. -72.771602 What is 0.161428 minus -81? 81.161428 Add together -34.85 and -0.06412466. -34.91412466 What is -3121.85 minus -1.78709? -3120.06291 Add together -0.3 and 28.558235277. 28.258235277 Subtract -36439 from -152.7. 36286.3 What is -11.91731 less than 9772? 9783.91731 What is 22686046972 less than 0.4? -22686046971.6 Sum -136 and 74854992. 74854856 What is -2149604 minus -50? -2149554 Calculate -1.07 - 4562.51. -4563.58 What is the difference between -56 and 313776201? 313776257 Put together 0.01 and -84528923. -84528922.99 What is -0.5 less than -169887608? -169887607.5 What is -64 - -7792900? 7792836 Add -0.43514608 and 1. 0.56485392 What is -2.6033 plus 2.376? -0.2273 Work out 20397275281 + 0.3. 20397275281.3 What is 0.3859386 plus 0? 0.3859386 0 + -6334.93 -6334.93 -10282.7 + 166239 155956.3 What is 12.65565 take away 28425? -28412.34435 Add together -636 and -2742.75. -3378.75 Calculate 6147 - 18425.1. -12278.1 What is -0.219 less than 113.2237? 113.4427 Add -89920741 and -2. -89920743 Work out -0.0518 - -8421938. 8421937.9482 What is -6906 less than -239638? -232732 Work out -2 - -12466167. 12466165 What is 556119460 - 0? 556119460 Add -7 and -130542. -130549 Add together -116.6 and -132496. -132612.6 Subtract 1.6
{ "pile_set_name": "DM Mathematics" }
(-15)). Let t = -3.93 - 0.07. Which is the second smallest value? (a) p (b) t (c) 1/9 a Let s = -20 + 15. Which is the third biggest value? (a) s (b) -2 (c) -5/4 a Let w = 106 - 103. Which is the smallest value? (a) w (b) -2/3 (c) -1 c Let n = -9.6 - -11. Let o = -1 + n. What is the second smallest value in o, -1, 0.5? o Let u = 0.3 - 0.4. Let w = u + 1.1. Let g = -4 + w. Which is the biggest value? (a) 3 (b) -4 (c) g a Let h = -3 + 3. Suppose h = -4*p - 0*p. Suppose -2*f = 4, -2*s + 2*f + 18 - 6 = p. Which is the biggest value? (a) s (b) 3 (c) -4 a Let q = 35 - 34.7. Which is the second smallest value? (a) q (b) -0.1 (c) -2/7 b Let u = -38/5 - -34/5. Let w = -1 - 2. What is the smallest value in -0.4, u, w? w Let v = 4.5 - 7.2. Let x = 3 + v. Which is the second biggest value? (a) -5 (b) 4/7 (c) x c Let f be (30/32)/((-3)/(-4)). Let q = 6 - 5.8. Which is the third biggest value? (a) q (b) f (c) 0.3 a Suppose 3*t = 3*f - 33, -5*t + 4 = 3*f + 3. Suppose -f = 4*x + 9. Let z = 0.07 + 0.03. Which is the third smallest value? (a) x (b) z (c) 0.4 c Let s = -279 + 3071/11. Let c = 0.1 + 2.9. What is the smallest value in -2, c, s? -2 Let d be -9 + 7 - (6/16 + -2). What is the second smallest value in d, 3, 4, -0.2? -0.2 Let r = 10 + -9.98. Let s = -1.98 - r. Let z = 1 + 3. Which is the second biggest value? (a) s (b) z (c) -0.5 c Let r(x) = x + 1. Let o be r(-1). Let u = 1331063/15 + -88769. Let j = u - -94/3. Which is the smallest value? (a) o (b) j (c) -2 c Let o = 2.1 - 0.1. Let q = 4/65 + 187/130. What is the second smallest value in 1/7, o, q? q Suppose 2*j + 10 = 2*d, 11 = -d - 3*j + 36. Let o = d - 15. Let k = -0.24 + 0.24. What is the second biggest value in o, k, 2? k Let i be 1/(-1) + (-2)/(-6). Let o = 19 - 14. Which is the second smallest value? (a) o (b) -1/5 (c) i b Let f = 109 - 103.3. Let y = f + -6. Let z = y + 0.1. What is the third smallest value in z, 2, 1? 2 Let m(r) = 2*r - 10. Let b be m(6). Suppose 0 = -2*c + 2*g, 0*c + 7 = b*c + 5*g. Let j = -1 - -1.5. What is the third smallest value in 1/3, j, c? c Let r = 0.05 + -0.01. Let n = 1.96 + r. What is the smallest value in -3, 3, n? -3 Let l(x) = 305879*x**2 - 1. Let t be l(1). Let m = t - 11010907/36. Let f = -77/4 + m. Which is the second biggest value? (a) 2 (b) 0.2 (c) f c Let l = -21 + 22. Let r = 4 - 1. Suppose 0 = 2*i - 8, 4*d + 7*i - 3*i - 16 = 0. Which is the second biggest value? (a) d (b) l (c) r b Let x = -9 + 14. Let t = 3 - 6. Let v = 16/91 + -6/13. Which is the second biggest value? (a) t (b) v (c) x b Let v = 1.5 - 2. Let r = 4 - 5. Which is the third smallest value? (a) r (b) -5 (c) v c Let i(l) = -2*l**2 + 7*l + 1. Let z be i(4). Suppose -5*w - 8 = -w - 2*f, -6 = -3*f. Suppose 0*u = 5*u. What is the smallest value in w, z, u? z Let x = -0.6 + -2.4. Let z = 789/56 + -96/7. Which is the second biggest value? (a) 0.4 (b) x (c) z c Let q be (-1 + 0)/(-4 - -3). Let g be q/6 - (-5)/(-3). Let c = 581/5 + -117. What is the second smallest value in g, c, 2? c Let u = -17 + 30. Let t = u + -8. Which is the second smallest value? (a) -4 (b) t (c) 0 c Suppose -21 = -4*y + 5*h, h - 6 = -2*y - h. Which is the third biggest value? (a) -0.4 (b) y (c) -0.3 (d) 3/7 c Let y = 39 + -44. What is the third smallest value in y, 0.2, -0.02, -0.5? -0.02 Let b be (-52)/13 - 82/(-20). What is the third biggest value in b, 2, 1/11? 1/11 Let l be (-9)/6*(-20)/(-15)*1. Let d = 111/4 + -28. Which is the biggest value? (a) d (b) 2 (c) l b Let j be 1 + ((-10)/(-4) - 4). Let w = 4 + -4.9. Let s = w - 0.1. Which is the second biggest value? (a) s (b) -0.3 (c) j c Let n = -8 - -7.8. Which is the biggest value? (a) -5 (b) 4 (c) n (d) 1/8 b Let h = -0.1 - 0.4. Let u = -2 - -2.4. Let d be ((-2)/(-3))/((-112)/48). Which is the third smallest value? (a) d (b) u (c) h b Let p = 0.05 + -0.02. Let i = p + -1.03. Which is the second biggest value? (a) -0.3 (b) i (c) -0.1 a Suppose -8*c + 3*c + 15 = 0, -3*i + 2*c = 3. Suppose -i = 3*f - 10. What is the biggest value in 5, -3, f? 5 Let d = 0.16 - -0.04. Let s = 7 - 2. What is the smallest value in s, -3, d? -3 Let k = 6.5 - 4.5. Let f be 3*(0 - 2/(-6)). Let u = f - 0. Which is the third biggest value? (a) k (b) u (c) 2/3 c Let g = 416/7 - 59. What is the third smallest value in g, 1/5, 10? 10 Let j = 0.07 + -0.08. What is the third biggest value in j, -5, 2? -5 Let d be (-2)/(-7) - 48/(-28). Let h be d/(-13) - (-12)/39. Which is the second smallest value? (a) 0 (b) h (c) 1/6 b Let q = -0.29 - -1.29. Let d = -1 + 1. Let f = -2.7 + -2.3. Which is the third biggest value? (a) f (b) d (c) q a Let z = 2.9 - 3. Let r be 9/12 + (-84)/(-16). Let c be (r/14)/((-30)/(-40)). What is the second biggest value in 5, c, z? c Let p = -7 + 7.03. Let u = 2.97 + p. What is the third smallest value in u, -4, 0.1? u Let o = 0.1 - -0.3. Let k = -164 + 165. What is the second biggest value in 2/9, o, k? o Suppose -y - 10 = -2*t + 2, 2*t - 3*y - 16 = 0. What is the third biggest value in 2/15, 4, t? 2/15 Let s be (-34)/(-18) - 6/27. Let v = -1774/3129 - 2/447. Which is the third smallest value? (a) 1/4 (b) v (c) s c Let g = -10 + 11. Which is the third smallest value? (a) 1/9 (b) g (c) 1/4 b Let h = -6 + 4. Let j be (-8)/15*30/40. Which is the smallest value? (a) h (b) 1 (c) j a Let s = -3.34 + 0.44. Let g = 1 - -2. Let i = g + s. What is the second smallest value in 0, i, 0.2? i Let s = -12 + 15. Suppose s*q + 6 = -2*q + 2*l, 4*q = -l - 10. Which is the smallest value? (a) q (b) -4/3 (c) 5 a Let i be -1 + 1 - (1 - 0). What is the third biggest value in 1, -3/2, i? -3/2 Let q be 2/12*-2 + 0. Let r = -24 - -23.9. What is the smallest value in r, q, 5? q Let g = -0.4 + 0.3. Let x = -0.1 - g. Let r(s) = -s**3 + 11*s**2 - 9*s - 5. Let m be r(10). Which is the third smallest value? (a) m (b) x (c) 2 a Let f = 33275/10488 + 52/437. Let u = 21/8 - f. Which is the second smallest value? (a) 0.2 (b) -2 (c) u c Let u = 5 + -8. Let d = 2.7 + -3.2. Which is the smallest value? (a) -5 (b) d (c) u a Let y = 2 + -2.4. Let w = 0.7 - 0.2. Let g = w + y. Which is the second smallest value? (a) 3 (b) g (c) -5 b Let h = 5 - 5.4. Let y = 12.4 - 10. Let t = y + -0.4. What is the smallest value in 0.3, t, h? h Let r = 21 + -16. Which is the third biggest value? (a) r (b) -2/3 (c) 3 b Let d(f) = 3*f**2 - 24*f - 19. Let i(p) = p**2 - 12*p - 9. Let r(u) = -2*d(u) + 5*i(u). Let j be r(-11). What is the third smallest value in 2/15, -2/7, j? j Suppose -11*h + 7*h = 20. Let s = 3 + -2.6. Which is the third biggest value? (a) 0.5 (b) s (c) h c Let i = 1 - -4. Let s = -7 + i. Let w = -0.02 + -0.38. Which is the second biggest value? (a) w (b) 1/6 (c) s a Let m be 1 - (-5)/(10/6). Let o be (1 - 4)*m/(-42). Which is the third biggest value? (a) 2/13 (b) o (c) 2 a Let o = -3/37 - -43/74. What is the second smallest value in -2, -0.3, o? -0.3 Let x be (-1)/(6/3 - 3). Let b be (-8)/(-50)*10/4. What is the biggest value in x, b, -2? x Suppose 0 = -5*x - j + 76, -2*j + 68 = 4*x - 3*j. Suppose 32*q - 36*q + x = 0. What is the second biggest value in 2/11, 4/7, q? 4/7 Let g = -1.2 - -1. Let v = -8.7 - -9. Let x = v - g. What is the biggest value in x, -3, 0.1? x Let h = 0.9 - 1. Let r = 27.39 + -47.36. Let p = r - -20. Which is the third smallest value? (a) 2/9 (b) p (c) h a Let x = -4 - -2. Let a be -1 + (4 - (2 + x)). What is the third biggest value in 6/5, -0.5, a? -0.5 Let z = 1598/63 + -176/7. Let o be 4/(-10) - (-2)/80. Let d = -0.9 + -0.1. Which is the second smallest value? (a) d (b) z (c) o c Let u(l) be the second derivative of l**5/20 + 5*l**4/12 - 2*l**2 + 2*l. Let w be u(-5). What is the second biggest value in 1, -1/2, w? -1/2 Let s = -8.2 - -2.7. Let w = 5 + s. What is the second biggest value in 0, 1/5, w? 0 Let v = 642/5 - 128. Let f = 3 - 4. Let u = 1.1 + f. Which is the third smallest value? (a) u (b) -2 (c) v c Let d = 5 + -4. What is the third biggest value in -2, -0.5, d, 5? -0.5 Let n = 9.4 + -9. What is the third smallest value in 0.3, n, 12? 12 Let f = -6 - -5.9. Which is the third biggest value? (a) 1/4 (b) f (c) -4 c Suppose 3*g = -2*s - 6 + 26, 5*s = 5*g. Whic
{ "pile_set_name": "DM Mathematics" }
5*u + 80 = 5*s, u + s = -2 - 4. Let q = u - -16. Suppose 0 = -2*h + 6*h - 3*v + 15, 3*v = -4*h + 15. Solve h = j - q*j for j. 0 Suppose 3*i = 4*i - 5*r, 3 = 3*r. Suppose -2*d = i*a - 9, -4*d - 6 = a + 3. Solve -w - a*w = 0 for w. 0 Let d = 223 - 213. Solve -2*v = 4 - d for v. 3 Let t = -8 + 11. Suppose -m - 5*v = -31, t*m = 5*m - 2*v - 2. Let a be (-3)/3 - (-4 + 1). Solve -4*b + m = -a for b. 2 Let b(o) = o - 1. Let g(j) = -j**3 + 6*j**2 + 2*j + 1. Let k(a) = 3*b(a) - g(a). Let y(z) = z**3 + 6. Let r be y(0). Let h be k(r). Solve -3*q + 25 = h*q for q. 5 Let q = -60 - -84. Suppose 5*o - q = 1. Solve -3 = o*h - 13 for h. 2 Suppose 3*t = 3, 3*t = 3*y + 6*t - 408. Suppose 4*q + y = 5*c + q, 2*q = -c + 40. Suppose c = 4*n + l - 6*l, 3*n - l = 17. Solve 11 = n*x - 9 for x. 4 Let s(i) = i**3 + 2. Let a be s(0). Solve 2*n + 4 = -a*n for n. -1 Let w be -5 - (-12)/3 - -1. Solve w*c - 4*c - 4 = 0 for c. -1 Suppose 3*r = -r + 12. Solve 2*a - 25 = -r*a for a. 5 Let t be 1 - (-3 + -2 + 4). Solve 0 = t*k - 3*k for k. 0 Let y(m) = -3*m**2 - 1. Let b(p) = -p**3 - p**2 + p. Let l(a) = 2*b(a) - y(a). Let w be l(-1). Solve w*q = -q + 15 for q. 5 Let m be (0 + 0)*11/(-11). Solve m*f + f = -2 for f. -2 Let i(w) = 17*w**2 + 2*w + 1. Let a = 4 + -5. Let z be i(a). Suppose 4*r + z = -2*o, -2*o - 2*r = 3*o + 8. Solve -p - p + 10 = o for p. 5 Suppose -5*z = 4*q - 55, -q + 4 = -2*z - 0. Solve 0 = -2*m + q for m. 5 Let m(l) = l**3 + 5*l**2 - 6*l + 3. Let g be m(-6). Suppose 0 = r - 3 - 13. Suppose 20 = -5*f - 5*u, f + 2*f - r = 4*u. Solve f = -g*n - 1 - 5 for n. -2 Let b = 2 + 4. Suppose 0*z + 8 = 3*z + 5*v, v = -5*z + b. Suppose c = 6 - 2. Solve z = -c*s - 3 for s. -1 Let q(r) = 5*r**2. Let p(y) = -y + 6. Let n be p(5). Let g be q(n). Solve g*h + 2 = -13 for h. -3 Suppose -4*m + 5*g = -37, 2*m + 34 = 5*m - 5*g. Suppose a - 5*k = -3*a - 34, -34 = 5*a - 2*k. Let b = a + 6. Solve b = m*u + 12 for u. -4 Suppose 3*z = -4 - 17. Let x = z + 11. Suppose x*i = -i. Solve i = 4*f - 2 - 14 for f. 4 Let o = 9 + -7. Solve 7 = -o*g + 1 for g. -3 Let q(r) = r**3 + 2*r**2 - 2*r - 3. Let w be q(-2). Suppose 4*i + s - 3 = 3*i, 4*s = 12. Let y be (-2 - (i - 1))*-3. Solve -y*l - w = 2 for l. -1 Suppose 3*v - s + 3*s = 32, -2*v + 15 = -5*s. Solve -3*j + v = -j for j. 5 Suppose 0 = 4*g - p - 12, 5*g + 4*p = -9 + 24. Suppose 16 = g*k + k. Suppose 4 = 3*m + k*l, -2*l = 4*m + 1 - 13. Solve -m*i - 10 = 6 for i. -4 Let v(a) = a**3 - 5*a**2 - 7*a + 6. Let f be v(6). Suppose 3*k - 32 = -2*r - 3*r, 0 = 4*r - 16. Suppose w = k - f. Solve m = w*m for m. 0 Suppose 2*c - 15 = -3*c. Suppose 5*g = -5*t - 15, -c*g - 5*t - 1 = -4*t. Let l = 6 - g. Solve 15 + 10 = l*f for f. 5 Let x = 194 + -131. Let v be 108/x*(-7)/(-2). Solve v*k - k = -5 for k. -1 Suppose -4*s + l = 39, 4*l = -2*s - 28 + 4. Let r = 14 + s. Suppose r*o = 12 - 0. Solve -3*h + o - 18 = 0 for h. -5 Suppose 2*w - 25 = -5*j, 0 = 3*j - 3*w + 9 - 3. Let x = 10 - j. Solve -2*d = 3 + x for d. -5 Let d be 0/3 + -2 + 4. Let v be d/(-3) - 4/(-6). Let c = v + 0. Solve c = -3*u + u + 10 for u. 5 Suppose 4*o - 4 = 0, -2*o - 1 = 2*f - 13. Suppose 3*p - 3*v - 6 = 0, -2*p - f*v - 2 - 1 = 0. Solve g + 0 = p for g. 1 Let d be (-1 - -12)*(-1 - -2). Suppose l - 33 = -3*p - p, -5*l + d = -2*p. Suppose -5*v + 14 = -2*r, -4*v + 3*r + 16 = -r. Solve -v*x = -p*x + 5 for x. 1 Let j(s) = s - 2 - 3*s + s. Let w be j(-2). Solve 2*x - x + 3 = w for x. -3 Let v = -2 - -8. Let n be (2/(-3))/(v/(-36)). Solve -4*t + n = -8 for t. 3 Let x = 9 + -6. Suppose 0 = x*u + u. Suppose -2*w - 2 + 14 = 0. Solve -3*m + w*m = u for m. 0 Suppose 5*i - 11 = 14. Let b = i + -2. Suppose 0 = 2*w - 3*v + 5, 4*w = b*v - 2*v + 5. Solve -3*x = -w - 7 for x. 3 Let f(w) = 3*w - 2 + 6 - 5*w. Let g be f(0). Solve -2*q - g + 2 = 0 for q. -1 Let h(i) be the second derivative of i**4/12 + i**3/6 - i**2 - i. Let d be h(-3). Let g(y) = y + 6. Let w be g(0). Solve -w - 14 = d*a for a. -5 Suppose -3*p + 13 = -14. Solve -4*z + 3 + p = 0 for z. 3 Suppose -p + 4*p - 15 = 0. Suppose -5*x - 9 = -2*x. Let j = x + p. Solve -j*a = 2*a + 20 for a. -5 Let h(x) = -x**3 + 8*x**2 - 17*x + 10. Let a be h(5). Solve a*z = -z - 5 for z. -5 Let r(t) = t**2 + t - 4. Let i be r(-3). Suppose 0 = -f + 4*p - 8, 2*f - i - 34 = -5*p. Solve -f = u + u for u. -4 Suppose -2*g - 4 = -f, 2*f + 2*g + g = 1. Solve -2*x + 20 = f*x for x. 5 Let c(o) = o**3 + 5*o**2 - 5*o - 5. Let k be c(-5). Suppose 0 = 3*i - 8*i + k. Solve i = r + 3*r for r. 1 Suppose h + y = 12 + 4, 10 = 2*y. Let p = h + 7. Let m = 30 - p. Solve 0 = -3*l + m + 3 for l. 5 Suppose 3 + 2 = x. Suppose 0 = -2*c + x*c - 12. Solve -10 = c*s + s for s. -2 Let f = 7 - 3. Suppose 0 = 4*g - q - 1 - 7, -f*q + 13 = -g. Solve r = -g*r for r. 0 Suppose 0 = 3*u - 4*h - 20, 5*u - 5 - 5 = -5*h. Solve u*l - 2 = 6 for l. 2 Let f be (-356)/24 - (-1)/(-6). Let c be 3/f - 156/(-30). Solve 0*i + c = -5*i for i. -1 Let m be 5/(-20) - 2/(-8). Suppose 3*q + 5*h = 67, q - 6*h + 2*h + 6 = m. Solve -2 = -4*z - q for z. -3 Let q = 22 - 17. Solve q*v - 20 = -0*v for v. 4 Let c be (-4)/8*2 + 1. Solve c = 5*w + 13 + 2 for w. -3 Suppose 3*l = -3 - 6. Let d be 32/6 + l/9. Solve -d*v = -1 - 19 for v. 4 Let n be ((-3)/(-1))/(3/2). Suppose -g = -1 - n. Let v be (2/4)/((-1)/(-6)). Solve g*x = -v - 9 for x. -4 Let v be -1 - 3/6*-14. Solve -p = p - v for p. 3 Let y = 8 + -2. Suppose -4 = 2*u + y. Let x = -5 - u. Solve x*n - n = 2 for n. -2 Suppose -f = 2*u, 2 = u + 3. Solve 2*s + 16 = -f*s for s. -4 Let o(p) = p**2 - 6*p + 7. Let q be o(5). Let r(j) = 2*j - 3. Let n be r(q). Solve -c + 4 = -n for c. 5 Let h(v) = -v**2 - 10*v - 1. Let p be h(-9). Solve 2*r + p = 6*r for r. 2 Let d(t) be the third derivative of -t**5/60 - 5*t**4/12 + 3*t**3/2 + 7*t**2. Let q be d(-10). Solve -4*u - q = -u for u. -3 Suppose -4*a - 4*r = -4, -r = -0 - 1. Suppose 0 = -2*j + n - 28, 3*n = 5*j + 7*n + 44. Let h be (6*-1)/(j/8). Solve a = q + h - 0 for q. -4 Suppose -2*a + 2 = 3*y - y, a - 1 = -4*y. Solve -1 - a = -i for i. 2 Suppose 6*v = -27 + 69. Solve 0 = -3*d + 1 - v for d. -2 Suppose 3*v + 8 - 17 = 0. Suppose -v*b + 2*l + 4 = 0, -4 = 3*l - l. Solve 2*a + b = -8 for a. -4 Suppose 5*a + 34 - 5 = 3*i, -2*i + a + 10 = 0. Solve -i = -4*k + 17 for k. 5 Let j(d) = d + 7. Let o be j(-6). Suppose -o = 2*w + 3. Let u be (0 + -1)/(w/8). Solve -p + 5 = u for p. 1 Let n be (-38)/(-10) + (-3)/(-15). Suppose 10 = 3*u - u. Solve y - n = u*y for y. -1 Let n(l) = -l**2 - 7*l - 4. Let y be n(-6). Let k be 2 + 1 + 3 + -4. Suppose 5*z = k*z. Solve 3*o + y*o + 10 = z for o. -2 Let a(m) = m**3 - 5*m**2 - 4*m - 6. Let z be a(6). Solve z = -4*w - 10 for w. -4 Suppose 3*d - 4*d + 4*r - 9 = 0, -5*d + 4*r + 3 = 0. Solve -d*b - 6 = -b for b. -3 Let r(m) be the second derivative of m**3/6 - 2*m**2 + m. Let k be r(-5). Let b = k + 14. Solve 4 = -b*a - 6 for a. -2 Let i = 22 - 15. Let x(w) = w**2 + 1. Let u(g) = -7*g**2 + 7*g - 9. Let c(r) = -u(r) - 6*x(r). Let m be c(i). Solve -m*y = 14 - 5 for y. -3 Suppose 11 = 10*n - 29. Let v = 9 - 3. Solve -h = -n*h + v for h. 2 Let a be 2/10 + (-868)/(-35). Solve -4*w - w = -a for w. 5 Suppose -w = -2*s - 7, 2*w + 5*s - 9 - 14 = 0. Solve -w = 4*y + 7 for y. -4 Let y be 4/6 - (-48)/9. Suppose -3*d - 12 = -y*d. Solve d = m + 3*m for m. 1 Suppose -4*n - 3*f + 24 = 2, 0 = -2*n + f + 6. Solve -1 = -n*k + 3 for k. 1 Suppose 7 = 2*k - k. Let m(f) = f**2 + 5*f - 6. Let z be m(-6). Let o = 0 - z. Solve o = k*p - 5*p for p. 0 Suppose 4*p + 4*h + 6 = 30, 4*h = 2*p + 6. Let v(d) = 6*d**2. Suppose 4 = -z + 5*z. Let w be v(z). Solve 0*o - p*o = w for o. -2 Suppose 0*q - 4*q - n = 43, -3*q - 16 = 4*n. Let r be 6*-3*2/q. Solve -k - 6 = -r*k for k. 3 Suppose -2*t = 4*n + 9 + 21, -3*n + 2*t - 5 = 0. Let c = 15 + n. Solve -4*u - c = 2 for u. -3 Let u(n) = n**2 - n - 1. Let t = -2 - -4. Suppose b - 5*r - 12 = -2*b, -3*r - 11 = t*b. Let q be u(b). Solve -2*a = 5 + q for a. -3 Let p(d) = -d**3 - 6*d**2 - 5*d + 4. Let k be p(-5). Suppose 0 = l - 3*l + k. Solve w = l*w for w. 0 Let z = 4 - 2. Suppose t + t = 4. Let a be -1 - t*2/(-4). Solve z*g = -a*g for g. 0 Let l(i) be the third derivative of 11*i**5/60 - i**4/24 + i**3/3 + 5*i**2. Let q be l(1). Solve -5*w + w = -q for w. 3 Let n be 32/48*30/4. Solve 0 = v + n for v. -5 Let k(t) = -t**3 -
{ "pile_set_name": "DM Mathematics" }
rt(1368)*-2)) + sqrt(1368) + sqrt(38))/sqrt(2)*6 - ((sqrt(114)/sqrt(6) + -5)**2 + sqrt(475)*2). -44 + 114*sqrt(19) Simplify (-5*(sqrt(24) + -2*sqrt(24)))/(2*sqrt(128)) + ((sqrt(432)*-3 + 5)*-6)**2. -103675*sqrt(3)/8 + 140868 Simplify 5*(sqrt(72))**2 + (sqrt(98) + 1)**2 + -1 + 0 + 4*-5*sqrt(2). -6*sqrt(2) + 458 Simplify -1 + (-1*sqrt(2178)*1*-5)/(sqrt(270)/sqrt(5) + (sqrt(486) - sqrt(486)*-3) + sqrt(486)). -1 + 55*sqrt(3)/48 Simplify ((-1 + sqrt(13))*6 - (sqrt(39)/sqrt(108))**2 - (sqrt(156) + 5*sqrt(156)*2)/(sqrt(72)/(sqrt(6)*-2 - sqrt(6)) + sqrt(12))) + 2. -21*sqrt(13)/2 - 157/36 Simplify 3 + (sqrt(420)/(-1*sqrt(7)) - sqrt(60))/(sqrt(588) + 2*sqrt(588)) + ((sqrt(180) - (-2 + sqrt(180)))*2)**2 + (0 + sqrt(180) + -1)**2. -254*sqrt(5)/21 + 200 Simplify ((sqrt(441) + (sqrt(441) - -2*sqrt(441)*5))/(2*sqrt(175)))**2*5. 2268/5 Simplify ((sqrt(225)*-1*-6)/((1*sqrt(605) - sqrt(605)) + sqrt(5)))/(-1*sqrt(144)*-1*3). sqrt(5)/2 Simplify (sqrt(306)*3*-2*-2)/(sqrt(20)/(sqrt(20)/(sqrt(2)*-2))*3). -6*sqrt(17) Simplify (((sqrt(4032) + sqrt(63))*-6 + 5*sqrt(3087) + sqrt(63))/(-4*2*sqrt(63)/(sqrt(35)/sqrt(5))))**2. 567/16 Simplify ((-2*sqrt(209)*-3)/(-2*sqrt(99)) - (5 + -3*sqrt(1539)*-1))**2. 280*sqrt(19) + 14921 Simplify (-3*(-4*sqrt(121) + sqrt(121)) + sqrt(121) + sqrt(121) + -4*-2*sqrt(121))/((-6*(sqrt(132) - sqrt(132)*-2))/sqrt(3)). -19*sqrt(11)/36 Simplify -5 + (sqrt(152) + sqrt(152)*1*1 - (-2*sqrt(152)*-1 + sqrt(152) - sqrt(152)))/(-1*-6*(sqrt(72) - sqrt(8))). -5 Simplify sqrt(6)/sqrt(2)*-5 + sqrt(1344)/sqrt(7) - (5 + -2*sqrt(2352)). -5 + 59*sqrt(3) Simplify (4*4*(1 + (sqrt(1088) + 4*sqrt(1088))*2))**2 + -4. 40960*sqrt(17) + 27853052 Simplify (2*6*sqrt(7)*2 - (-3 + -5 + sqrt(21)/sqrt(3)))**2*2. 736*sqrt(7) + 7534 Simplify (sqrt(75) + -1 + sqrt(75) + sqrt(15)/sqrt(245))**2 + (sqrt(3) - (sqrt(330)/sqrt(10))/sqrt(11) - (sqrt(27)/sqrt(729) + sqrt(3))). -1348*sqrt(3)/63 + 15172/49 Simplify (sqrt(1694)*-2)/(2*sqrt(128) + sqrt(128)) + ((2*sqrt(693))/sqrt(11))/(sqrt(81)/sqrt(81)). 61*sqrt(7)/12 Simplify (-4*(-1*sqrt(648) + sqrt(648) + sqrt(648))*-3)/((sqrt(100) + sqrt(100)*1*4)*6). 18*sqrt(2)/25 Simplify (1*sqrt(156)*-6 + (2*5*sqrt(156) - sqrt(156)))/(-4*(sqrt(972) - 6*(1*sqrt(972) + sqrt(972)))). sqrt(13)/132 Simplify 0 + (2*sqrt(1008) + 0 + 3)**2 + 3 + (sqrt(35)/(sqrt(10)/sqrt(2)))**2 + -3. 144*sqrt(7) + 4048 Simplify ((sqrt(77)*1*4 + (-3*(sqrt(77)*-1 + sqrt(77)) - sqrt(77)))*-3)/((1*sqrt(704) - sqrt(704) - sqrt(704)) + sqrt(66)/(3*sqrt(6)))*4. 108*sqrt(7)/23 Simplify (sqrt(2268)/sqrt(9) + (sqrt(7) - (2 + sqrt(42)/sqrt(6))) - (-5*-2*sqrt(175) + (-2 + sqrt(175))*2))**2. -216*sqrt(7) + 20416 Simplify ((sqrt(68) - 3*sqrt(68))*-4)**2 + 3 + -1 + (-5*((sqrt(68)*-3 - sqrt(68)) + -1)*-1)**2. 400*sqrt(17) + 31579 Simplify (0 + sqrt(1584))**2*-4 + 5 + 2 + (1 + 0 + sqrt(1584) + -5 + -2)**2. -4709 - 144*sqrt(11) Simplify 1*((-2*sqrt(385))/sqrt(11) + sqrt(35) - (sqrt(175)*-1 - sqrt(175))/sqrt(5))/(((-2*sqrt(180) + sqrt(180) - sqrt(180))*-3 - sqrt(180))*3). sqrt(7)/90 Simplify -4 + ((-4 + 1 + sqrt(931) - sqrt(931)) + ((sqrt(931) + 0)*-2)**2 - (sqrt(931) + sqrt(931)*1 + 1 + -1*sqrt(931)*-3)). -35*sqrt(19) + 3716 Simplify 3 + (1*(sqrt(187)*2 - sqrt(187))*5)/(sqrt(88)/(sqrt(8)*1) - -1*sqrt(1584)). 5*sqrt(17)/13 + 3 Simplify 1*((-3*sqrt(85))/sqrt(5)*-2)**2 + 3 + (0 + sqrt(17) + 0 - ((sqrt(255)/sqrt(5))/sqrt(3) + sqrt(17))). -sqrt(17) + 615 Simplify 0 + sqrt(13)*1 + sqrt(13) + -1 + (-1*sqrt(468) + 5)**2 - ((-2 + (sqrt(13) - (sqrt(13) + 1))*-2)**2 + ((sqrt(156) - 1*sqrt(156)*-4)/sqrt(12))**2). -58*sqrt(13) + 167 Simplify (-6*(0 + sqrt(72) + sqrt(72) - sqrt(72)) - (0 + sqrt(72) + -5))*-3*-3*-2. -90 + 756*sqrt(2) Simplify (((-2*sqrt(456))/sqrt(12))/(sqrt(288)*2 - sqrt(288)))**2 + -3*((-2*sqrt(76) + sqrt(76))*-4)/sqrt(4). -12*sqrt(19) + 19/36 Simplify 0 + sqrt(539) + 4 + (sqrt(539) - 2*sqrt(539)) + 4 + (sqrt(539) + sqrt(539) + 1)**2 + 5 + -6*(sqrt(539) + 3) + -1. -14*sqrt(11) + 2151 Simplify (sqrt(85)*1*4 - (sqrt(85) + -4*(sqrt(85) + (sqrt(85) - (sqrt(85) - sqrt(85)*4)))))/(1*sqrt(245) - -3*sqrt(80)). 23*sqrt(17)/19 Simplify (4 + 2*(-3 + 0 + sqrt(1872) + 1 + sqrt(1872)) + -4)**2 + 5 + 4. -384*sqrt(13) + 29977 Simplify (((-2*3*sqrt(99)*-5 + 4)*1 + 4)*-6*3)**2. 466560*sqrt(11) + 28889136 Simplify ((2*sqrt(108)/sqrt(3))/(sqrt(2) + -1*sqrt(8)))/(((-1*sqrt(126))/sqrt(7))/(sqrt(3) + sqrt(108)))*-2. -28*sqrt(3) Simplify -3 + (4 + 2 + (sqrt(68)/(sqrt(28)/sqrt(7))*1)**2)*5*-1*-4. 457 Simplify 0 + -4*((sqrt(50) + -2)*-2)**2 + ((sqrt(12) + sqrt(108) + sqrt(108)*2)/(sqrt(18)/sqrt(3)*-4))**2. -1703/2 + 320*sqrt(2) Simplify ((sqrt(351) + -2*6*sqrt(351))*-1)/((sqrt(15)*-3*3)/(-1*sqrt(500) - sqrt(500))). 220*sqrt(13)/3 Simplify -5 + sqrt(68)/sqrt(4) + 2 + ((2*sqrt(272))**2 - sqrt(272)) - (-4 + sqrt(2448) - (3*sqrt(272))**2). -15*sqrt(17) + 3537 Simplify -1 + -2*(sqrt(364) + sqrt(364) + -6*2*sqrt(364) + sqrt(364) + sqrt(364) + (sqrt(364) - -3*(sqrt(364) - -1*sqrt(364))))/(1*sqrt(112)*-6). -1 - sqrt(13)/6 Simplify ((2*-1*((sqrt(144) + -2*sqrt(144) - sqrt(144) - sqrt(144)) + sqrt(144)))/(1*sqrt(800)*6))**2. 2/25 Simplify (-2 + (-4 + -2 + (sqrt(320) + sqrt(320) + -1 + sqrt(320) + -3 - sqrt(320) - sqrt(320)))*4)**2*-1*6. -41304 + 16128*sqrt(5) Simplify (-5*5*(sqrt(10) - sqrt(640)*6 - sqrt(10)))/(((2*sqrt(160))/sqrt(8))/((1*sqrt(90) + sqrt(90) + sqrt(90))/sqrt(9))). 1800*sqrt(5) Simplify -3*(-4 + sqrt(1323)*1 + -3 - -4*(-1 + sqrt(675))*5)**2. -929556 + 52002*sqrt(3) Simplify (4 + 1*sqrt(99) + 4*(sqrt(99) + 1))*2 + (-1 + sqrt(176) + sqrt(176) + 2*sqrt(176) + 4 + sqrt(176))**2*-6. -26438 - 690*sqrt(11) Simplify (((sqrt(2560) + sqrt(2560)*3)/(2*sqrt(5)*3))/(sqrt(324) + (sqrt(324) - sqrt(324)*-1)*2 + (sqrt(324) - (3*sqrt(324)*6 + sqrt(324)))))**2. 512/123201 Simplify 1 + (sqrt(1088) + 2 + -5 + sqrt(1088) + (sqrt(1088) - 4*sqrt(1088)*-1) - -6*(5 + sqrt(1088) + 0))**2. 5616*sqrt(17) + 184602 Simplify 2*(((5 + sqrt(1900)*2 - sqrt(1900))**2 - (-2 + 0 + sqrt(1900)))*-2 + 0)*-4. 1440*sqrt(19) + 30832 Simplify ((sqrt(114)*1)/sqrt(2))/(3*(sqrt(3) + sqrt(12)/sqrt(4))) - ((sqrt(76) + -1*sqrt(76))*3)/(sqrt(160)/sqrt(10)). sqrt(19)/6 Simplify (4*(sqrt(343) - sqrt(343)*-2*-5 - (2 + sqrt(343)*1)))**2 - 6*(-3*(-1 + sqrt(343)))**2*-3. 2212*sqrt(7) + 604592 Simplify 2*(3 + (-2 + 3*(sqrt(468) - sqrt(13)) + -1 + sqrt(39)/(sqrt(3)*-2))**2). -174*sqrt(13) + 10981/2 Simplify (0 + (sqrt(77)/(sqrt(11)*-2) - sqrt(112)*1) + (((sqrt(70) + sqrt(70)*-1 + sqrt(70))*-2)/sqrt(10))**2 + 5)*-3. -99 + 27*sqrt(7)/2 Simplify ((-3*sqrt(80)*-3 + 1*2*sqrt(80))**2 - (4 + (sqrt(80) - (sqrt(80)*2 + sqrt(80)))**2 - ((-2*sqrt(80))**2 + sqrt(80) + 2)))*4. 16*sqrt(5) + 38712 Simplify (sqrt(224)*-2 + sqrt(56))/(sqrt(200)*-3) + ((sqrt(343) - (2 + sqrt(343))) + -4 - (sqrt(343) + ((sqrt(343)*-2 - sqrt(343)) + sqrt(343))*5)). -6 + 316*sqrt(7)/5 Simplify (sqrt(117) - sqrt(117)*2*6)/(sqrt(576) - (sqrt(576) + -1*sqrt(576))) + (sqrt(78)/(sqrt(12)/sqrt(2)) - (-1*sqrt(832) + sqrt(832))**2). -3*sqrt(13)/8 Simplify -1*((sqrt(153)*-6*-5)/sqrt(9) + (3*sqrt(17) + -5 - sqrt(85)/sqrt(5)*-2))**2*5. -104250 + 1750*sqrt(17) Simplify (4 + ((sqrt(11) - (sqrt(22)/sqrt(2) + -5)) + (sqrt(88)*1)/sqrt(8) - -5*(-2 + (sqrt(44) - sqrt(396))/sqrt(4)))*2)**2. 216*sqrt(11) + 3600 Simplify 4 + (-1*sqrt(224) - sqrt(224) - sqrt(14))/(-4*sqrt(18)) + 4*(3 + 5*sqrt(21)/sqrt(3) + sqrt(28)*5). 16 + 243*sqrt(7)/4 Simplify (((sqrt(847)*-2 - sqrt(847))*3 + -5)*-3 + -4*-3*(-1 + 2*sqrt(112)))**2. 2358*sqrt(7) + 1081152 Simplify (-3*-2*((sqrt(891) - sqrt(891)*4)*-3 - sqrt(891)) + -3 + -2*sqrt(891) + (sqrt(891)*1 - sqrt(891)) + -3 + 1)**2. -4140*sqrt(11) + 1885381 Simplify ((sqrt(475)*2 + 4)*3 - ((sqrt(95) - (sqrt(95) + sqrt(95)*2*6))/(sqrt(30)/sqrt(96)))**2) + 3. -43761 + 30*sqrt(19) Simplify -2*-6*(sqrt(700) - (sqrt(700) + 2))**2 + (2*sqrt(21)/sqrt(3) + sqrt(42)/sqrt(96))**2. 1335/16 Simplify ((3*sqrt(312)*-1 - sqrt(312))/sqrt(6)*-2)/(2*sqrt(16) + sqrt(4) - -2*sqrt(576)). 8*sqrt(13)/29 Simplify (((3*sqrt(504))/sqrt(8))/(sqrt(9) - (sqrt(36)/sqrt(16) + sqrt(9)) - sqrt(9)) - (sqrt(28)/sqrt(16) - sqrt(70)/(sqrt(30)/sqrt(3)))*4)**2. 0 Simplify (-1 + sqrt(51)/sqrt(3)*2 + (sqrt(425) + -1 - (sqrt(136) + sqrt(34))/sqrt(2)))**2 + (-4 + (sqrt(17) - (-1 + (sqrt(17) - -2*sqrt(17))**2)) + 0)*-5. -21*sqrt(17) +
{ "pile_set_name": "DM Mathematics" }
to u. -2*u - 1921 What is the third derivative of -36242*a**6 + 36186*a**6 + 2927*a**2 + 1178*a**5 - 1195*a**5 wrt a? -6720*a**3 - 1020*a**2 What is the second derivative of -2782*w**5 + 5048*w + 4048*w**3 - 741*w**3 + 2783*w**5 wrt w? 20*w**3 + 19842*w Find the third derivative of 1754*s**3 - 186553*s + 30*s**2 + 186560*s - 727*s**3 wrt s. 6162 Let p = 84 + -56. What is the third derivative of -15*u**2 - p*u**3 + 8*u**2 + 32 + 4*u**2 wrt u? -168 Find the second derivative of -65 + 825*r - 832*r - 8*r**3 + 8*r**3 + 683*r**5 wrt r. 13660*r**3 Let w(a) be the first derivative of -a**4/4 + 2*a**3/3 + a**2 + 4*a + 6. Let r be w(3). Differentiate -9 - 7*c**2 - 3 - r - 1 with respect to c. -14*c Let g(j) = -j**3 + 26*j**2 - 103*j + 1. Let n be g(21). Find the third derivative of -39*q**6 + 12*q**3 + 17*q**3 - n*q**6 + 135*q**2 + 81*q**6 wrt q. -120*q**3 + 174 Let u = 2987/4 + -746. Let q(x) be the second derivative of 0*x**2 - u*x**4 + 0 + 3*x + 23/20*x**5 + 0*x**3. Find the third derivative of q(t) wrt t. 138 Let b(o) be the first derivative of -7*o**4/4 - o**3/3 - 13*o**2/2 + 2622*o + 6098. Find the first derivative of b(t) wrt t. -21*t**2 - 2*t - 13 Suppose -2*w - 3*k + 83 = 0, 3*w - 13*k = -18*k + 124. Find the third derivative of -w*n**2 - 2*n - 96*n**5 + 13*n - 10*n wrt n. -5760*n**2 Suppose -5 = 5*l - 4*t + 15, -t + 5 = -l. Let m be (l - (-4 + 4))*1. What is the derivative of -6*a + 3 - 20 + m wrt a? -6 Let p(n) = 2*n**4 - 2*n**2 - 1. Let u(w) = -174*w**4 - 2*w**2 - 896. Let t(a) = -p(a) + u(a). What is the first derivative of t(x) wrt x? -704*x**3 Let i(f) = 2*f + 14. Let j be i(-9). Let u(q) = q**2 + q - 9. Let s be u(j). What is the second derivative of -10*w**3 - 8*w - 6*w**s - 3*w wrt w? -96*w Let x(z) = z**3 - 2*z + 15. Let i be x(0). Suppose -2*u + 7*u - i = 0. Find the second derivative of -32*f**u - 49*f**3 + 58*f**3 - 29*f wrt f. -138*f Let q(u) be the third derivative of -19*u**8/336 + 5*u**6/12 + u**5/60 - 17*u**4/24 - 41*u**3/6 + u**2 - 3*u - 21. Find the second derivative of q(s) wrt s. -380*s**3 + 300*s + 2 Let g(l) = 13*l**2 - 2*l + 4. Let m be g(1). Suppose 0 = -d + 3*t + 21, 3*d + 2*t = -t + m. What is the first derivative of 2 - 15 - d - 10*z**2 + 6 wrt z? -20*z Let x(t) = -4*t**4 - 23*t**2 - 7*t - 18439. Let h(q) = 3*q**4 + 12*q**2 + 3*q + 9220. Let n(v) = -7*h(v) - 3*x(v). Find the first derivative of n(r) wrt r. -36*r**3 - 30*r Suppose -4*q - i + 19 = 0, -i = 3*q - 7 - 6. What is the second derivative of -163*r - q*r**3 + r**4 - r**4 + 157*r + 3*r**5 wrt r? 60*r**3 - 36*r Suppose 11 = -3*a - 8*a. Let w be 0/a + (-18)/(-5 - -2). Find the first derivative of -w + 3 - 3*j**4 - 3*j**4 - 11 wrt j. -24*j**3 What is the second derivative of 1841*u**2 - 4847*u + 12550*u**2 - 7318*u + 433*u + 1877*u wrt u? 28782 Suppose -5*x - 8 = -23. What is the second derivative of -167*b**x + 63*b + 39*b - 85*b**3 wrt b? -1512*b Find the second derivative of -37*x**2 + 525*x - 3219*x + 15*x**2 + 16*x**2 + 13*x**2 + 34*x**3 wrt x. 204*x + 14 Suppose 194725*w - 194719*w - 36 = 0. Let f(z) be the third derivative of 9/40*z**w + 0*z**5 + 0*z**4 + 0*z - 14/3*z**3 - 44*z**2 + 0. Differentiate f(x) wrt x. 81*x**2 Let y(w) be the third derivative of 7309*w**7/210 + 4*w**5/15 + 79*w**3/3 - 4636*w**2. What is the third derivative of y(l) wrt l? 175416*l Suppose -5*a + 42 - 2 = 0. Suppose x - a*x + 14 = 0. Differentiate -3*k**2 - 3 - 13*k**x - 5 wrt k. -32*k Let r(w) be the first derivative of 0*w**5 - 71*w**3 - 21/4*w**4 + 1/7*w**7 + 111 + 0*w + 0*w**6 + 0*w**2. Find the third derivative of r(k) wrt k. 120*k**3 - 126 Let a(y) = 33941*y**2 - 39904*y - 204. Let p(h) = -5657*h**2 + 6653*h + 36. Let r(f) = 6*a(f) + 34*p(f). What is the second derivative of r(o) wrt o? 22616 What is the second derivative of -125*h**3 + 26 - 414*h**2 - 411*h**3 + 49*h - 14*h + 415*h**2 - 579*h**3 wrt h? -6690*h + 2 Let o(a) be the first derivative of a**4/4 + 10945*a**3/3 + 9357*a**2/2 - 14068. Find the second derivative of o(k) wrt k. 6*k + 21890 Let b(w) be the second derivative of 0*w**3 + 0 - 6*w**2 + 132*w + 17/12*w**4. Differentiate b(u) wrt u. 34*u Find the third derivative of 17*k - 41*k + 73*k**2 + 887*k**2 + 1268*k**3 + 24*k wrt k. 7608 What is the second derivative of 1 - 458*j**2 - 13647*j + 2422*j**2 + 1026*j**2 + 6354*j + 6595*j wrt j? 5980 Let i(x) = -5631*x**2 - 882*x - 72. Let q(t) = -112617*t**2 - 17640*t - 1458. Let l(b) = 81*i(b) - 4*q(b). What is the second derivative of l(j) wrt j? -11286 Let q be (-6 + 2 - -2)*-4. Let j be q/(-16) - (-28)/8. Find the second derivative of 15*r + 10*r - 2*r**3 + 18*r**5 - 16*r + j*r wrt r. 360*r**3 - 12*r Let d be (16/6)/(12/18). Suppose 5*k + 2*u - 94 = 0, 4*k - k - 64 = -5*u. What is the first derivative of -11*f**4 + 9 + k - 4*f**d - 16 wrt f? -60*f**3 Find the third derivative of -36*z**2 - 24*z + 2*z**3 - 3*z**3 - 22234*z**4 + 22453*z**4 wrt z. 5256*z - 6 Let c(o) = -10009*o + 11674. Let b(j) = 10006*j - 11606. Let q(p) = -6*b(p) - 7*c(p). Differentiate q(z) wrt z. 10027 Let q(u) be the third derivative of -u**2 + 0*u**4 + 0 + 29/120*u**6 + 0*u**3 + u**5 + 38*u. Find the third derivative of q(h) wrt h. 174 What is the first derivative of -529*f + 78 + 243 + 131 wrt f? -529 Suppose -t = -2*i + 4, -4*i + 10 = 5*t - 12. Differentiate 76*o - 148*o + 69*o + 77 + 12*o**i + 7*o**3 wrt o. 57*o**2 - 3 Let x(d) = d - 1. Let s be x(-13). Let y be -2 - s/8 - (-679)/28. What is the first derivative of -4 + y*t**3 + 3 + 2 - 4 wrt t? 72*t**2 Let a(h) = 721*h**5 + 90*h**2 - 13*h + 14. Let d(n) = -720*n**5 - 89*n**2 + 12*n - 12. Let w(p) = -6*a(p) - 7*d(p). What is the third derivative of w(x) wrt x? 42840*x**2 Let p(s) = 597*s + 4548. Let v(c) = 1192*c + 9079. Let o(f) = -13*p(f) + 6*v(f). Find the first derivative of o(b) wrt b. -609 Let n be (2 + -31)/((-5)/10). Differentiate 124*v**4 + 76*v**4 + 50*v**4 - 8 + n*v**4 with respect to v. 1232*v**3 Let g(m) = -32*m**4 - 12*m**3 + 95*m**2 + 4*m + 4. Let o(v) = v**3 - 3*v**2 + v + 1. Let q(n) = g(n) - 4*o(n). Find the third derivative of q(r) wrt r. -768*r - 96 Let p(o) = 12*o - 9. Let b be p(1). What is the second derivative of -15 + 3*m - 2*m**2 - 4*m**3 + 6 + 3*m**3 + 11*m**b wrt m? 60*m - 4 Let b(n) be the third derivative of 0 + 2*n**2 + 106/3*n**3 + 0*n**5 + 4/105*n**7 + 0*n**4 + 28*n - 1/120*n**6. Differentiate b(g) with respect to g. 32*g**3 - 3*g**2 Let j = -202 + 218. Find the third derivative of 3*c**6 - 2 + 181*c**2 - 198*c**2 + j*c**3 + 4 wrt c. 360*c**3 + 96 Let j(f) = -5675*f**2 + 9868*f + 18. Let p(d) = 34052*d**2 - 59207*d - 117. Let m(c) = -13*j(c) - 2*p(c). Find the second derivative of m(r) wrt r. 11342 Let d(k) be the third derivative of -191*k**9/24 - k**5/15 + 69*k**4/8 + k**3/3 + 4*k**2 + 2*k + 9. Find the third derivative of d(f) wrt f. -481320*f**3 Let g(j) = -j**4 + 921*j**3 - 5*j**2 + 20*j + 2. Let p(v) = v**4 + v**3 - v**2 - 2*v + 5. Let i(h) = g(h) - p(h). Find the second derivative of i(l) wrt l. -24*l**2 + 5520*l - 8 Let g(q) be the second derivative of -1/20*q**5 - 19/15*q**6 - 33*q + 0*q**4 + 0 - 2*q**2 + 23/6*q**3. What is the second derivative of g(v) wrt v? -456*v**2 - 6*v Let c(s) be the third derivative of 667*s**7/210 - s**5/60 - 1825*s**3/6 + 9*s**2 - 32. Differentiate c(p) with respect to p. 2668*p**3 - 2*p Suppose -5*i + 23 = 4*k - 5, 5*k + 3*i - 22 = 0. Find the third derivative of 2*z**2 - 105 + 144 + 4*z**2 - 172*z**3 - 4*z**k wrt z. -1032 Let r be 36/(-8)*(-4)/6*1. Let p(c) be the second derivative of 0 - 7/2*c**2 + 5*c - c**r. Find the first derivative of p(h) wrt h. -6 Suppose 3 = a - 3. Suppose -45 = -d - 5*c - a, 4*d = -c + 61. What is the derivative of z - z + d - 11*z**2 wrt z? -22*z Let z(s) = -8*s**2 + 6*s - 50. Let m(b) = -b**2 - b. Let y be 2 + 2/((-10)/15). Let u(p) = y*z(p) + 6*m(p). Differentiate u(j) wrt j. 4*j - 12 Let r(q) be the first derivative of -2/3*q**3 + 0*q**4 + 56*q**2 + 0*q**5 - 80 - 67/6*q**6 + 0*q. Find the third derivative of r(b) wrt b. -4020*b**2 Let z(i) be the third derivative of -i**6/60 + i**5/60 + 47*i**4/24 - 7799*i**3/6 - 254*i**2 + 5. What is the derivative of z(s) wrt s? -6*s**2 + 2*s + 47 Let z = -78 - -86. What is the second derivative of 2*p**2 + 38*p + 4 - 15*p - z*p - 51*p**2 wrt p? -98 S
{ "pile_set_name": "DM Mathematics" }
ctors of r? 3 Suppose -h + 4 = -5*h. Let p = 12 - 6. Let a = p + h. List the prime factors of a. 5 Let l(r) = -r + 5. Let f(p) = -6*p + 26. Let q(m) = 4*f(m) - 22*l(m). Let v be q(-6). Let n = v + -1. List the prime factors of n. 5 Suppose -2*s = -4*z, -2*z = 3*s - s - 12. Suppose -2*t - 4*f = -36 + z, -5*t = 2*f - 61. List the prime factors of t. 11 Let u = -35 - -49. Suppose u = -s + 3*s. What are the prime factors of s? 7 Let b = -28 + 20. Suppose -3*s + 52 + 20 = 0. Let k = b + s. What are the prime factors of k? 2 Suppose 3 = -v + 4. Suppose -4*s + 27 = -v. List the prime factors of s. 7 Let q be (-2 + -28)*30/(-5). List the prime factors of (-2)/(5/(q/(-8))). 3 Let t be -5 + (-1 + 2)*0. Let q(f) = -4*f - 3. What are the prime factors of q(t)? 17 Let j be (-3 - -5)*(-2 - 0). Let u = 1 - j. What are the prime factors of u? 5 Let i = -7 - -313. What are the prime factors of i? 2, 3, 17 Suppose a + 126 = -5*n, n - 6*n - 121 = -4*a. Let z = 45 + n. What are the prime factors of z? 2, 5 Suppose 2*o - 3*o + 47 = 0. What are the prime factors of o? 47 Let q(b) = b**2 - 3*b + 7. Let p be q(6). Suppose 0 = -5*z - 5*i + p, 4*z - 2*i - 13 = i. List the prime factors of z. 2 Let y(w) = w**2 + 5*w - 4. Suppose 3*p + 16 = -2. Let h be y(p). Suppose -i + 12 = 2*i + 5*m, -i + 3 = h*m. List the prime factors of i. 3 Suppose 312 - 74 = 2*m. Suppose -5*j + 262 - 62 = -5*k, 3*j - m = 4*k. List the prime factors of j. 41 Let j(q) be the third derivative of -q**4/24 - 5*q**3/6 + 4*q**2. What are the prime factors of j(-12)? 7 Let v(f) = -4*f + 13. What are the prime factors of v(-20)? 3, 31 Suppose 0 = 5*b + 147 - 587. Suppose -4*m = -0*m - b. List the prime factors of m. 2, 11 Let d(c) = c**3 + 3*c**2 + c + 2. Let l be d(-3). List the prime factors of 21/(-3)*(l + 0). 7 Let x = -63 + 92. List the prime factors of x. 29 Let h = -515 - -845. What are the prime factors of h? 2, 3, 5, 11 Let f(t) = 3*t - 3*t**3 + t + t**2 + 8*t**3. Let l(z) = -6*z**3 - 2*z**2 - 5*z + 1. Let g(h) = 5*f(h) + 4*l(h). What are the prime factors of g(3)? 2 Suppose 7*k - 15 = 4*k. Suppose k*m - 3*i - 17 = 0, 4*m - 2*i + 2 = 16. What are the prime factors of m? 2 Suppose 0 = -5*n - i - 50, 2*n + 0*n = -2*i - 20. Let o(l) = -2*l - 15. What are the prime factors of o(n)? 5 List the prime factors of (-38170)/(-198) + 2/9. 193 Suppose 2*q = 2*i - 0*q - 78, -i + 2*q = -36. List the prime factors of i. 2, 3, 7 What are the prime factors of 114 + -1 + 44/11? 3, 13 Let o(u) = -u**2 + 9*u + 2. Let v(g) = -1. Let i(k) = -o(k) - 6*v(k). Let q be i(9). Suppose -q*z + 30 = z. List the prime factors of z. 2, 3 Let i be (-4)/(-6) + (-22)/6. List the prime factors of 20 - i/(1/(-1)). 17 Let l = -1 + 4. Suppose q - 5*w = -0 - l, -2*w + 6 = 0. What are the prime factors of q? 2, 3 Suppose -7*l = -0*l - 1155. What are the prime factors of l? 3, 5, 11 Let k = -7 - -12. Suppose -z = k*z - 42. What are the prime factors of z? 7 Let i(r) = r**3 - 4*r - 2. Let k be i(5). Suppose -4*u + p = -p - 146, 0 = 2*u + 5*p - k. Suppose 4*y - 9 - u = 0. What are the prime factors of y? 2, 3 Let x = -37 + 115. Suppose -2*q = -v - x, -q + v + 2*v = -44. List the prime factors of q. 2, 19 Suppose 0 = -4*i - 5*t - 37 + 94, t = -2*i + 27. List the prime factors of i. 13 Let o(i) = -i**2 + 2. Let t be o(-2). Let b(v) = -3*v**3 - v**2 + v + 2. What are the prime factors of b(t)? 2, 5 Let p = -10 + 7. List the prime factors of p - (-2 - 78/3). 5 Let x = -4 - -4. Suppose 2*d - 3*k - 21 = x, -20 = -2*k + 6*k. Suppose d*n - 19 = 29. List the prime factors of n. 2 Suppose 2*k = -k - 21. Let s = -2 - k. What are the prime factors of s? 5 What are the prime factors of ((-17)/(-51))/(1/246)? 2, 41 Let z be 6/(-4)*(-728)/12. Let a = -64 + z. What are the prime factors of a? 3 Let z be 2/(-4)*0/(-2). Suppose -4*q + 5*p = -40, 3*p + 2*p = 0. Suppose 3*h - q - 26 = z. List the prime factors of h. 2, 3 Suppose 57*c = 54*c + 24. List the prime factors of c. 2 Let y be 66/(-4)*(-4)/3. Let r = -2 + y. What are the prime factors of r? 2, 5 Let d(l) = -5*l**3 + l**2 + 2*l + 1. Let k be d(-1). Let c(g) = -g**2 + 6*g. List the prime factors of c(k). 5 Let i(p) = p - 4. Let n be i(8). Suppose -g - b = 2*g + 82, 0 = b + n. Let w = -11 - g. List the prime factors of w. 3, 5 Suppose -5*i = 3*l + 2, -3*l + 6*i - 2*i + 7 = 0. Let u = l - -47. List the prime factors of u. 2, 3 Suppose -11*x = -3*x + 32. Suppose 19 - 7 = r. Let m = x + r. What are the prime factors of m? 2 Let b be -2 + (4 - 2)*16. Let l = b + -15. List the prime factors of l. 3, 5 Suppose -w = -195 - 18. List the prime factors of w. 3, 71 Suppose 3*n - 516 + 111 = 0. List the prime factors of n. 3, 5 Suppose 5*k = -38 - 47. List the prime factors of (-1)/(4/k)*4. 17 Let b = 25 + -19. List the prime factors of b. 2, 3 Let u = 9 + 24. List the prime factors of u. 3, 11 Suppose 3*x + h - 56 = -21, -47 = -5*x + 4*h. Suppose 0 = -2*m - x - 1. Let u = m + 20. List the prime factors of u. 2, 7 What are the prime factors of ((-2)/(-5))/((-1)/(-85))? 2, 17 Let u(i) = -i**2 - 7*i - 7. Let a be u(-5). Suppose 0*w - a*w + 54 = 0. List the prime factors of w. 2, 3 Let r = 3 - -5. Let g = -5 + r. What are the prime factors of g? 3 Let l(a) = -3*a + 4. Let p be l(-5). Suppose 2*i - 2*c = 50, 4*i + 2*c + 37 = 161. Let y = i - p. List the prime factors of y. 2, 5 Let l = 2 + -2. Suppose l*s = s. Let c = 12 - s. List the prime factors of c. 2, 3 Let w(c) = -c + 5. Let y be w(-13). Suppose -2*f + 4*i = -3*f + y, -93 = -3*f + i. What are the prime factors of f? 2, 3, 5 Suppose 0*m - 3*m = -4*v + 122, -m = -v + 31. What are the prime factors of v? 29 Let r be -11 + 0 + (-3)/3. Let d = -6 - r. Let i(m) = m + 1. List the prime factors of i(d). 7 Let y = 325 - 184. List the prime factors of y. 3, 47 Suppose 0*g - 2*g = 8. Let w(x) = x**3 + 8*x**2 - x - 2. Let n(l) = -l**3 - 7*l**2 + 2*l + 3. Let r(z) = -4*n(z) - 3*w(z). What are the prime factors of r(g)? 2, 7 Let o = 6 + -4. Let t be o/5 + 24/(-10). List the prime factors of 20 - (t + -2 + 2). 2, 11 Suppose 4*i = 0, -4*m + 4*i + 820 = i. List the prime factors of m. 5, 41 Let u be 0 - 3 - (-8 - -1). Suppose -u*s - 5 = 7. What are the prime factors of (-61)/s - 4/(-6)? 3, 7 Let p(b) = -10*b + 13. What are the prime factors of p(-3)? 43 Suppose 6*g - 20 = 40. What are the prime factors of (14 - 0)*35/g? 7 Suppose 0*f + 5*i - 55 = -5*f, -5*f + 3*i = -79. What are the prime factors of f? 2, 7 Let p = -70 - -153. What are the prime factors of p? 83 Let t(a) = a**3 + 7*a**2 - 13*a - 1. Let y(o) = -o + 1. Let f(j) = t(j) - 5*y(j). Let d be f(-8). Let n(m) = -3*m - 8. What are the prime factors of n(d)? 2, 5 Suppose 13 = 4*t - 3. Suppose 24 = 2*f - t*a, 4*f + 3*a - 23 - 3 = 0. What are the prime factors of f? 2 Let d(o) = 4*o + 8. Let q(m) = 2*m + 4. Let i(t) = 2*d(t) - 5*q(t). Let b(g) = g**2 + 4*g - 5. Let y be b(-4). What are the prime factors of i(y)? 2, 3 Let s = 1 - -19. List the prime factors of (-26)/(-10) - 12/s. 2 Let g(f) = -3*f**2 - 2*f - 1. Let d be g(-1). Let c = d + 4. List the prime factors of c. 2 Let n(q) = q**2 - 15. Let r be n(11). Suppose 0 = -4*g + 38 + r. What are the prime factors of g? 2, 3 Suppose -5*c - 12 = 33. List the prime factors of 13 + (c/(-3))/3. 2, 7 Suppose 8 = 4*l - g, 4*l - 6*l + 4 = 5*g. Suppose -l*z + 75 = z. What are the prime factors of z? 5 Let j(p) = -p**3 - 9*p**2 + 9*p + 12. List the prime factors of j(-10). 2, 11 Suppose -38 = -2*s + 62. List the prime factors of s. 2, 5 Let m(c) = -c**2 - 7*c - 7. Let w be m(-5). Suppose 0 = w*l - 2 + 5. Let p(d) = 8*d**2 + 1. List the prime factors of p(l). 3 Let w = 563 - 395. What are the prime factors of w? 2, 3, 7 Let d(n) = -n**2 + 6*n - 3. Let m be d(5). Suppose m + 2 = -4*p, -3*p + 37 = 2*z. What are the prime factors of 6/(-5)*z/(-6)? 2 Let s(v) = v**3 - v**2 + 5. What are the prime factors of s(3)? 23 Let l = -17 + 21. What are the prime factors of l? 2 Suppose -1 - 35 = -g. Let n = g + -19. List the prime factors of n. 17 Suppose 8*u - 6 = 5*u. Suppose -u*s + 16 = 2*s. Let k(f) = 5*f. What are the prime factors of k(s)? 2, 5 Suppose 591 + 357 = 3*o. List the prime factors of o. 2, 79 Suppose -1 = -3*l + 8. Suppose 0 = -l*x + 88 + 50. List the prime factors of x. 2, 23 Le
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from {s: 3}. 1 Four letters picked without replacement from {t: 4, s: 3, x: 4}. What is prob of picking 3 s and 1 x? 2/165 Calculate prob of picking 2 w when two letters picked without replacement from wpbwvls. 1/21 Two letters picked without replacement from yyrry. Give prob of picking 2 y. 3/10 What is prob of picking 1 k and 1 w when two letters picked without replacement from {x: 1, w: 3, k: 1, z: 1, l: 1}? 1/7 Four letters picked without replacement from jknkujkuwk. What is prob of picking 1 n, 2 k, and 1 j? 2/35 Four letters picked without replacement from {k: 3, u: 3}. What is prob of picking 2 k and 2 u? 3/5 Four letters picked without replacement from qssggsgaqqmmaqq. What is prob of picking 2 s, 1 g, and 1 q? 3/91 Calculate prob of picking 1 d, 1 w, and 1 a when three letters picked without replacement from wmmapdmam. 1/42 What is prob of picking 2 i when two letters picked without replacement from {i: 14, k: 5}? 91/171 Four letters picked without replacement from {v: 4, b: 7}. What is prob of picking 4 v? 1/330 Four letters picked without replacement from {j: 5, w: 5, x: 2, n: 4, u: 3}. Give prob of picking 1 u and 3 j. 5/646 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from buujcuhuhuhvbjh. 2/455 What is prob of picking 2 h when two letters picked without replacement from phssshssss? 1/45 Two letters picked without replacement from wwwnnwwwwnwwwwnnwww. Give prob of picking 2 w. 91/171 Three letters picked without replacement from {p: 4}. Give prob of picking 3 p. 1 Four letters picked without replacement from jfjjpgjfjpujujjuppf. What is prob of picking 1 p, 1 j, and 2 g? 0 What is prob of picking 1 d, 1 p, and 1 e when three letters picked without replacement from epedeepddpdd? 3/11 Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, h: 13}. 1/40 Four letters picked without replacement from vvvgkvgggvvgkvkkgg. Give prob of picking 2 v, 1 k, and 1 g. 49/255 Three letters picked without replacement from {d: 5, k: 1, c: 1, n: 6, f: 1, y: 2}. Give prob of picking 1 y, 1 n, and 1 d. 3/28 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {u: 1, a: 1, j: 4, o: 6, c: 4, m: 3}. 8/57 Three letters picked without replacement from ffgfffffgffggf. Give prob of picking 1 f and 2 g. 15/91 What is prob of picking 2 p and 2 k when four letters picked without replacement from kpkkppkppkpkkkpk? 27/65 Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {r: 9, u: 2}. 3/55 Calculate prob of picking 2 b and 1 y when three letters picked without replacement from yyyyybyy. 0 Two letters picked without replacement from sxgsixsxgs. Give prob of picking 2 g. 1/45 What is prob of picking 3 m and 1 f when four letters picked without replacement from mmmmmmfmmmfmummmmmmf? 112/323 Three letters picked without replacement from ikictyt. What is prob of picking 1 t and 2 i? 2/35 Three letters picked without replacement from cbbbbbbbbccccb. Give prob of picking 2 c and 1 b. 45/182 Four letters picked without replacement from {t: 2, p: 4, x: 7, q: 5}. Give prob of picking 3 q and 1 x. 7/306 What is prob of picking 1 d and 1 f when two letters picked without replacement from ffftdffkfgdgqtd? 6/35 Three letters picked without replacement from sssnssswsn. Give prob of picking 1 n and 2 s. 7/20 What is prob of picking 1 y, 1 r, and 1 b when three letters picked without replacement from ybsbyxssrssssy? 3/182 What is prob of picking 2 p when two letters picked without replacement from poppiippoooip? 5/26 Three letters picked without replacement from fqkkjekfkteq. What is prob of picking 1 t and 2 e? 1/220 Two letters picked without replacement from eeekkkkeeee. Give prob of picking 2 e. 21/55 Four letters picked without replacement from {o: 4, m: 10, t: 6}. Give prob of picking 3 o and 1 t. 8/1615 Three letters picked without replacement from {z: 3, j: 5, g: 3}. Give prob of picking 1 j and 2 z. 1/11 Two letters picked without replacement from {j: 8, z: 1, d: 1, t: 2, o: 2, k: 6}. What is prob of picking 2 k? 3/38 What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 1, x: 1, p: 1}? 1/3 What is prob of picking 2 v and 1 z when three letters picked without replacement from {v: 9, z: 9}? 27/68 Three letters picked without replacement from {a: 7, b: 1, m: 2, r: 4}. What is prob of picking 2 m and 1 b? 1/364 Two letters picked without replacement from pxplplpwfxplxp. Give prob of picking 1 w and 1 f. 1/91 What is prob of picking 1 h, 1 u, and 2 a when four letters picked without replacement from aauha? 3/5 Calculate prob of picking 2 k when two letters picked without replacement from {m: 6, k: 2}. 1/28 Three letters picked without replacement from oaxayxxxacaoaoco. What is prob of picking 1 y and 2 c? 1/560 Two letters picked without replacement from {c: 1, g: 2, f: 1, v: 1, u: 1, t: 1}. Give prob of picking 1 c and 1 u. 1/21 Calculate prob of picking 1 u, 1 i, 1 e, and 1 h when four letters picked without replacement from {o: 3, u: 2, h: 3, e: 7, i: 4}. 14/323 Calculate prob of picking 4 g when four letters picked without replacement from {z: 1, g: 7}. 1/2 Two letters picked without replacement from {c: 7, n: 6}. Give prob of picking 2 c. 7/26 Three letters picked without replacement from noohnnhnonnhnnnohhh. Give prob of picking 3 n. 28/323 Two letters picked without replacement from {o: 2, e: 2, h: 1, j: 1}. What is prob of picking 1 h and 1 j? 1/15 Calculate prob of picking 2 k when two letters picked without replacement from nknnnknnnnn. 1/55 Three letters picked without replacement from iyyyyiy. Give prob of picking 3 y. 2/7 Calculate prob of picking 1 l and 2 z when three letters picked without replacement from {z: 2, l: 2}. 1/2 Calculate prob of picking 1 n and 3 t when four letters picked without replacement from njnjntttjjnj. 4/495 What is prob of picking 1 k and 2 v when three letters picked without replacement from {d: 5, v: 6, x: 1, k: 1, p: 3, s: 3}? 5/323 Two letters picked without replacement from {e: 3, r: 1, f: 1}. Give prob of picking 1 e and 1 f. 3/10 What is prob of picking 3 d when three letters picked without replacement from {a: 1, d: 3, h: 5}? 1/84 Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {k: 1, e: 3, d: 6, z: 3, f: 2}. 2/35 What is prob of picking 1 w and 2 a when three letters picked without replacement from hahgawhagwwgwhaw? 3/56 Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {w: 2, q: 1, v: 2, r: 2, t: 1, f: 1}. 1/36 What is prob of picking 1 r and 3 e when four letters picked without replacement from hgxhrgrxhrhrhereeh? 1/612 What is prob of picking 1 r and 2 u when three letters picked without replacement from urruruurur? 5/12 What is prob of picking 1 n and 1 r when two letters picked without replacement from wenwenkwrrfe? 2/33 Calculate prob of picking 2 f when two letters picked without replacement from {u: 3, j: 1, f: 3}. 1/7 Three letters picked without replacement from zzlllzz. What is prob of picking 3 z? 4/35 Four letters picked without replacement from sxxnnsnxsxsxsmnxwxxx. Give prob of picking 3 x and 1 m. 28/1615 Two letters picked without replacement from chmyycy. Give prob of picking 1 y and 1 m. 1/7 Calculate prob of picking 2 w when two letters picked without replacement from dpndwwdwxpddddxwwpd. 10/171 Four letters picked without replacement from llgllllg. Give prob of picking 2 g and 2 l. 3/14 Two letters picked without replacement from {v: 2, g: 2, q: 2, o: 2}. What is prob of picking 2 v? 1/28 What is prob of picking 1 r and 3 u when four letters picked without replacement from {u: 3, r: 15}? 1/204 Calculate prob of picking 2 k and 2 t when four letters picked without replacement from kkktttkkyiyktkkyyykk. 18/323 Two letters picked without replacement from {b: 1, o: 1, k: 2, r: 1, a: 2, d: 1}. Give prob of picking 1 b and 1 k. 1/14 Calculate prob of picking 2 a and 2 v when four letters picked without replacement from vavnanaaavn. 1/11 Two letters picked without replacement from gwggggwg. What is prob of picking 2
{ "pile_set_name": "DM Mathematics" }
6 a Which is the third smallest value? (a) -27 (b) 2/101 (c) -1688 b Which is the fifth smallest value? (a) 1/6 (b) 5/3 (c) 2/17 (d) 0.1 (e) 265 (f) -23 (g) 2/13 a What is the biggest value in -1/5, -4, 4766, -2/7, -0.5, 44? 4766 Which is the second biggest value? (a) 1155 (b) -282 (c) 1 c What is the third smallest value in 0.0283, 0, 0.0272? 0.0283 Which is the fourth biggest value? (a) -18 (b) -63 (c) -0.4 (d) 30 (e) 1 (f) -3 (g) -40 f Which is the second smallest value? (a) -8 (b) -1/207 (c) -0.6 (d) 2616 c What is the second smallest value in -1/2, 1, -2/11, 2/1078467, 2, 0.1, 1/3? -2/11 Which is the fifth biggest value? (a) 1/33 (b) -3/7 (c) -787 (d) -0.2 (e) 3/8 (f) -17 (g) -0.1 b Which is the fourth smallest value? (a) -14317 (b) 4/3 (c) 0.4 (d) 3/7 (e) -2 d What is the fourth smallest value in 1723, 1/11, 0.6, -0.27? 1723 What is the second biggest value in -3/4, -10, -9/10, 2204? -3/4 What is the second smallest value in 3/115, -0.04, -746/15, -1/4? -1/4 Which is the third biggest value? (a) 1/4 (b) -37 (c) 384 (d) -0.1 (e) 0.2 (f) 4 (g) 1 g What is the third biggest value in -8, 2585551, 1/5? -8 What is the smallest value in -2, 2/9, -17, -0.56758, -0.4? -17 What is the second smallest value in 11/3, -0.6, 21363, 1/3? 1/3 What is the fourth biggest value in 0.1, 5, -4/7, -0.04, 3/11, 0.122? 0.1 What is the second smallest value in 156996, 0.1, -278? 0.1 Which is the biggest value? (a) 14136 (b) 2/3 (c) -0.13 a What is the fourth biggest value in 2/3, -6/53, -0.5, -154.27? -154.27 Which is the fourth smallest value? (a) 1110 (b) -1 (c) -4 (d) -6681 (e) -0.8 e Which is the third smallest value? (a) 0.016054 (b) -5 (c) 1 (d) -2/5 (e) -0.1 (f) 0.4 e Which is the second biggest value? (a) 271006 (b) 9 (c) 5 b What is the third biggest value in 2/13, 0.73, 13, 2/1643, 0.2, 3? 0.73 What is the biggest value in 3/2, -4, 2/5, 1, -1697, -0.2? 3/2 Which is the biggest value? (a) -0.2 (b) 77/3 (c) 90502 c What is the third smallest value in -1/10, -674377, -8/3? -1/10 Which is the third biggest value? (a) -6 (b) -5 (c) -737 (d) 12/71 a What is the second smallest value in -5, -6, 3, 0.2, 36/89, -0.345, 2/7? -5 What is the fourth smallest value in 0.5, 0.3, -27, 2/5, -0.2, 907? 2/5 What is the fifth biggest value in -0.7, -26/43, -2/13, 3/7, 9? -0.7 What is the third smallest value in -201, -3, 1705, -33, 4? -3 Which is the fourth biggest value? (a) 0.01 (b) 2/9 (c) 1 (d) -71 (e) 0.5 (f) 0.2 f Which is the fifth smallest value? (a) -3/25 (b) -1 (c) -0.0711 (d) -0.3 (e) -4 c What is the fourth smallest value in 0.2, -2815, -1, 3, 29/6? 3 Which is the sixth smallest value? (a) -2/9 (b) 15 (c) 4 (d) -5 (e) -0.6 (f) 1461 f What is the biggest value in 0.89, 1502, -0.0562? 1502 What is the third biggest value in 14, -0.5, -2/21, -1260, 1, 7? 1 Which is the third smallest value? (a) 5 (b) -91.938 (c) 1.2 a What is the fourth smallest value in 0.2, 4, 1/127, -6, 3, -5? 0.2 What is the fourth smallest value in 7, 3.5, -0.07, -282, -0.4, -3? -0.07 Which is the second biggest value? (a) 0.12 (b) 0.4 (c) 15 (d) 0.5 (e) -5 (f) 8 f What is the third smallest value in 0.5, 3, -424/7, 77, 1, 48? 1 What is the fifth biggest value in 5, 1, 4, -0.7, 1/803, 0.4? 1/803 What is the second biggest value in 0.1, 0, -3, -0.07, -2, -0.979? 0 Which is the second smallest value? (a) 3/8 (b) 229.1 (c) -1 (d) -0.3 (e) 1/6 d Which is the smallest value? (a) 3 (b) 1038/5 (c) -1/405 c Which is the third biggest value? (a) 3/5 (b) 0 (c) -4 (d) -4477/2 (e) -6 c Which is the fourth smallest value? (a) -164 (b) -1/3 (c) 47 (d) -11 c Which is the second biggest value? (a) -0.4 (b) 0.4 (c) -0.3 (d) 3/2 (e) 138263 (f) 2/13 d Which is the biggest value? (a) 2/9 (b) 1/10 (c) -0.1 (d) 335 (e) 5 (f) 0.4 d What is the third biggest value in 2.4, -2, -6/85027, 2/17, 0? 0 What is the third smallest value in 113.7, 2, -23, -5, 2/11, -2? -2 Which is the fourth smallest value? (a) -13289 (b) -2 (c) 4.53 (d) 0.03 c Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) 0.52 (d) 4/869 (e) 11 d What is the biggest value in 11, 1, 69/2, 192, 4, -0.4, -0.5? 192 Which is the fifth biggest value? (a) -0.2 (b) -14/39 (c) 0.6 (d) -2/5 (e) 3 (f) 2/5 (g) 4/9 a Which is the smallest value? (a) -0.1 (b) 7850 (c) -0.2 (d) -4 (e) 0.5 (f) 0 (g) -61 g Which is the biggest value? (a) -0.1 (b) -14036 (c) 12 (d) 2/19 (e) 5 c What is the second smallest value in 0, -164121, -21? -21 Which is the biggest value? (a) -3/4 (b) 2610 (c) -0.1 (d) 2/45 (e) 1.7 b What is the biggest value in -7121, -6, -8/7, -4? -8/7 What is the seventh biggest value in 3/5, 2/9, -82/9, -4, -3/5, 4/3, -2/5? -82/9 Which is the third biggest value? (a) 4 (b) 0.01 (c) 2/1249 (d) -88 c Which is the third smallest value? (a) 2.4 (b) 19379 (c) 3 (d) 0.3 (e) 1 (f) 4 a What is the third biggest value in 2, 2/9, 17207445? 2/9 What is the third biggest value in 72587, 53.5, 2/3? 2/3 Which is the smallest value? (a) -49.3 (b) 0.2 (c) 912/5 (d) 2 a What is the smallest value in 5/144, 2, 4, 0, -1? -1 What is the sixth smallest value in 5, -4, -423, -0.5, 2, 60? 60 What is the fourth smallest value in 1/3, 3, -4290670, -5? 3 Which is the third biggest value? (a) -1/4 (b) -1 (c) -5 (d) 0.4 (e) 0.064 (f) 0.0507 f What is the second biggest value in 6/11, -1, -3/5, 0.06, 5, 2/3, -1516? 2/3 What is the fourth biggest value in -1/12, 0, -2/13, 5, -0.089, 5/4? -1/12 Which is the smallest value? (a) -1428 (b) 161 (c) -3 a What is the second smallest value in -0.5, 868, 0.01, 0.1, 0.06, 2/5, -4? -0.5 Which is the fifth biggest value? (a) -2 (b) 5 (c) -4 (d) -16 (e) 261/61 (f) 2/15 c What is the second biggest value in -1, -584.686, 2/11? -1 What is the second biggest value in 4, 5, 681729, 5/3, 2? 5 Which is the third smallest value? (a) 0.5 (b) -2/9 (c) 397059 c Which is the seventh biggest value? (a) 0 (b) -1 (c) -3136 (d) -0.5 (e) 2/17 (f) -1/10 (g) -3 c What is the second biggest value in 1/2, -2/1438085, 0.05, -3? 0.05 What is the fourth smallest value in 4/3, -3, 3/5, -0.31403, -5? 3/5 Which is the sixth smallest value? (a) 1/5 (b) 3/7 (c) 0.4 (d) -2 (e) -2/187 (f) -133 b What is the second smallest value in -9, 2628, -4, -2/13? -4 Which is the sixth biggest value? (a) 32.388 (b) -1 (c) 0 (d) -4/37 (e) 2/3 (f) -3/4 (g) 0.4 f What is the fifth smallest value in 1, -4, 16/5, -14.1, -3? 16/5 Which is the third biggest value? (a) 269 (b) -3 (c) -1 (d) -11 (e) -140/9 (f) -2/7 (g) -0.2 f Which is the third smallest value? (a) -280 (b) 1 (c) -1038 (d) 4 b Which is the smallest value? (a) 20 (b) -3 (c) 11635 (d) 0.1 b Which is the second biggest value? (a) -6 (b) -40.4 (c) 3.901 (d) 3 d Which is the third smallest value? (a) -0.5 (b) 0.1 (c) 1 (d) -27833406 b What is the second smallest value in 2/47, -3.21, 32/13, -4/7, 4? -4/7 What is the second smallest value in 719592, 0.2, 54, -1? 0.2 Which is the fifth smallest value? (a) 1.7 (b) -3 (c) -5 (d) 4.4 (e) -0.023 d Which is the third biggest value? (a) -5 (b) -0.4 (c) 0.4 (d) 0.2 (e) 0.0208 (f) 3.047 d What is the second biggest value in -21950, 1/39, -0.3, 0? 0 Which is the smallest value? (a) -2.8131 (b) 1 (c) -1/8 (d) 0.5 (e) 3/14 a Which is the third smallest value? (a) -0.0069 (b) 13 (c) 14/3 (d) -2 c Which is the fifth biggest value? (a) 0.2 (b) -2/9 (c) 0.5 (d) 52 (e) -6.02 e What is the fourth smallest value in -9, 13, 0.5, 0.2, -3767? 0.5 What is the third biggest value in 8, 24.8, -49534, 5? 5 Which is the second smallest value? (a) 4 (b) 1/15 (c) -978 (d) -3 (e) 3 d What is the smallest value in 0.3, 0, -69, 10, 4, -6? -69 Which is the fourth biggest value? (a) 3/67 (b) 5 (c) 2/9 (d) -1.56 (e) -0.2 (f) -3/4 e What is the biggest value in -2/3, 358.6545, 4/5? 358.6545 What is the third smallest value in -2/5, -5.38067, -2/7, 1? -2/7 What is the third smallest value in 1, -0.16956951, -2/17? 1 What is the smallest value in -5142, 1, -1/2016, 0.5? -5142 Which is the second smallest value? (a) -8361393 (b) 0.3 (c) -4 c What is the fi
{ "pile_set_name": "DM Mathematics" }
se Is -8012 greater than or equal to -2? False Is -2/5 < 0.0127? True Is -4 greater than 382? False Is -0.53 at least 0.048? False Is 2/3 >= 905? False Which is smaller: 3 or 81/2? 3 Is -159 < -162? False Is 11335 less than or equal to 11334? False Which is greater: -1 or 652.3? 652.3 Which is bigger: -3421 or 0.1? 0.1 Which is greater: 1581 or 1580? 1581 Is -1 at least as big as 0.1161? False Is -91 less than -1180/13? True Is -458/19 equal to -24? False Is -50 at least as big as -1845/38? False Which is bigger: -377 or -348? -348 Which is smaller: -1/1305 or -0.2? -0.2 Is 32 <= 29? False Which is bigger: 0 or 3/412? 3/412 Which is smaller: 5400 or 5399? 5399 Are -1 and -5/12 unequal? True Which is bigger: 1 or -7/414? 1 Is 0 > 1/371? False Which is bigger: 0.2 or 171.4? 171.4 Which is smaller: -3679 or -3676? -3679 Do -38 and -355/9 have the same value? False Is -7.4 > -3/5? False Which is bigger: 7966 or 7968? 7968 Do -5 and -666/155 have different values? True Is 134/7 less than 1? False Which is smaller: -238/107 or -3? -3 Which is greater: -347 or -693/2? -693/2 Which is bigger: 22 or 17? 22 Which is bigger: 0.004 or 0.4? 0.4 Are -3164 and -3156 nonequal? True Is 194/103 less than -1/4? False Is 1 less than 8/27? False Is -1 != 2/2149? True Is 3 not equal to 27/13? True Is -1670/53 less than or equal to -33? False Which is smaller: -48 or 14? -48 Is -23 at least as big as -23? True Is -1/366 != 1/2? True Which is smaller: 1/3 or 19478? 1/3 Does 0 = 117? False Is 2/7 less than or equal to 4189? True Are 82 and 0 equal? False Which is bigger: -1 or -10/173? -10/173 Do 302 and 301 have the same value? False Which is smaller: -1/1692 or 0? -1/1692 Is -11069 less than or equal to -11070? False Do 2.1 and 7/2 have the same value? False Do 10393 and 10392 have the same value? False Does 59 = 10? False Which is smaller: -52 or 8? -52 Is 41 equal to 41? True Which is greater: 1481 or 1482? 1482 Is -175 greater than -697/4? False Is -5/48 at most 0? True Which is smaller: 1 or 2/87? 2/87 Which is smaller: 0 or -2/387? -2/387 Is -3/3155 <= 0? True Is -220 at least 23? False Is -6/19 > -0.04? False Which is smaller: -0.6 or -9? -9 Which is bigger: 7 or -14? 7 Which is smaller: 0 or -5/257? -5/257 Do 35 and 20 have the same value? False Is -1 at least -3/11027? False Is -452 at least -451? False Is -2/9 less than or equal to -132? False Which is bigger: 10/119 or 1? 1 Which is greater: -1909 or -1908? -1908 Which is greater: -2007/2 or -1004? -2007/2 Is 1636 at most as big as 1636? True Is 116 less than or equal to 813/7? True Which is bigger: 21/907 or -1? 21/907 Is -3327 at most -3329? False Which is smaller: -57988 or -57989? -57989 Which is smaller: -248 or -4? -248 Is -103/9 != 0.06? True Is -362 greater than -361? False Which is bigger: -121 or 15/2? 15/2 Which is smaller: -1 or 2/62211? -1 Is 25 < 58? True Which is smaller: 2/9 or -1/105? -1/105 Which is bigger: -1 or -1/1523? -1/1523 Are 21 and -2 nonequal? True Is -1 at most -1/332? True Is 8 > 6? True Which is smaller: -788 or -0.03? -788 Is 157/3 >= 52? True Is 2 equal to -5063/2? False Are 1/50 and 0 non-equal? True Is 156 less than or equal to 145? False Which is smaller: -217 or -223? -223 Which is greater: 98 or -1? 98 Which is smaller: -44 or -40? -44 Which is smaller: -2/5 or -2/99? -2/5 Is -5 at least -16? True Is -9394 smaller than -9394? False Is -8793 at least -8796? True Which is bigger: 958 or 959? 959 Which is bigger: -51/350 or 0? 0 Is 0 at most 39/28? True Which is smaller: 1418 or -2/5? -2/5 Is 216 bigger than 215? True Is 202 less than 203? True Which is smaller: 6 or 34/7? 34/7 Which is bigger: -34/47 or -1? -34/47 Which is bigger: 30 or 27? 30 Which is smaller: -13616 or -13617? -13617 Is 183.3 != -0.2? True Which is smaller: 3146 or 9434/3? 9434/3 Which is smaller: -262 or -263? -263 Which is bigger: -23 or -34? -23 Is 1/7 smaller than 346? True Is 48/467 at least -1? True Which is greater: 1 or 54/173? 1 Which is greater: -721 or -726? -721 Is -1 equal to -6/253? False Which is smaller: -33 or 29? -33 Which is bigger: -1767 or -1770? -1767 Which is bigger: 60 or 64? 64 Which is bigger: 254 or 256? 256 Is 0 at most as big as 3/1892? True Is -1/3 greater than or equal to -37/52? True Which is bigger: -5/291 or 0? 0 Is -1 at most 1.529? True Which is greater: 57 or 173/3? 173/3 Are 64 and 0.1 unequal? True Is -128 at most -129? False Which is smaller: 32 or 22? 22 Is -495/8 smaller than -61? True Is 2/3 smaller than -0.263? False Which is smaller: 0 or -2/3159? -2/3159 Is 1119 != 1117? True Is 498 at least 498? True Which is smaller: 41/13 or 2? 2 Is 20 less than 0.2? False Is 4 smaller than 59/2? True Which is smaller: -25 or -24? -25 Which is smaller: 10/67 or 0? 0 Is -135 != -135? False Does -2301/37 = -63? False Is 8/3 smaller than 3? True Do -2464 and -2464 have different values? False Are -1/4 and -0.03087 equal? False Is -1585 greater than -12? False Which is smaller: 59 or 58? 58 Which is greater: -1 or 3.8? 3.8 Does -19 = -182/9? False Is -2.8 at most as big as -7? False Which is smaller: -0.959 or 2? -0.959 Is 69 equal to 55? False Which is greater: 1 or -2.2422? 1 Is -8 <= -55/6? False Is 1.74 equal to -2? False Is -0.1 > -8.004? True Which is smaller: 5/203 or 1? 5/203 Which is bigger: -18 or -79? -18 Which is bigger: -2/3 or 2142? 2142 Is -0.2 less than 11/20? True Is -1 smaller than -1/888? True Is -696 at most -725? False Are -749 and -749 equal? True Is 2902 less than 2901? False Is 1 <= -376? False Is -132/5 greater than -27? True Is -1 at least as big as 80/207? False Which is smaller: 118 or 110? 110 Which is greater: 1204 or 1200? 1204 Is -3 less than or equal to -451? False Is -867 greater than -868? True Are 21/292 and 0 equal? False Is -1642 < -3/2? True Are 868 and 868 equal? True Which is smaller: 1 or -1/1341? -1/1341 Is 13 greater than -473? True Which is smaller: -12061 or -12063? -12063 Are 0 and 1/120 unequal? True Which is smaller: -105 or -1764/17? -105 Which is smaller: -184 or -1111/6? -1111/6 Which is greater: 1/7 or -314? 1/7 Which is bigger: 0 or -209? 0 Which is greater: 113 or 781/7? 113 Which is greater: 81 or 65? 81 Is 6 less than or equal to -2/913? False Which is smaller: -26 or 0.01? -26 Is -2/5 > -0.04901? False Which is greater: 522 or 521? 522 Which is bigger: 97 or 26? 97 Is -235 less than or equal to -469/2? True Which is smaller: -0.1 or 648? -0.1 Do 1 and 1/515 have the same value? False Is 151 at least 152? False Do -1041 and -1039 have the same value? False Is -3/7297 less than 1? True Which is greater: 0.2 or 204? 204 Which is smaller: 2/3295 or -1? -1 Are 358 and 358 equal? True Is -1 >= 1/1037? False Which is smaller: 442 or 445? 442 Are 123 and 123 unequal? False Which is greater: -446 or -445? -445 Which is greater: 48 or 49? 49 Is -0.09 at most as big as 516? True Do -24/2167 and 1 have different values? True Is -30 at least -123/4? True Do 273/2 and 136 have different values? True Which is smaller: 0 or -1.013? -1.013 Is -176 less than -1? True Which is greater: -46/1055 or 1? 1 Which is smaller: -2/17325 or -1? -1 Which is greater: 0.5 or -0.059? 0.5 Are -1484 and -1483 non-equal? True Which is bigger: 1 or -5/157? 1 Is -936 < -936? False Is 3/8 equal to 2? False Are -2 and -523.4 non-equal? True Which is smaller: 2/14019 or -2/7? -2/7 Which is smaller: 6 or 162/31? 162/31 Is 18 <= 38? True Which is smaller: 1 or -2? -2 Is -159 less than -160? False Which is smaller: -318 or -317? -318 Which is smaller: -30 or -15? -30 Which is bigger: -13 or 0.3? 0.3 Which is bigger: 45/44 or 1? 45/44 Which is smaller: -6/35 or -1? -1 Which is smaller: -22/19 or -2? -2 Which is greater: 2 or 64/29? 64/29 Which is smaller: -10 or -2.84? -10 Which is greater: -0.9 or -13? -0.9 Which is bigger: -6/2359 or -1? -6/2359 Which is bigger: -3282 or -3280? -3280 Is 543 at most 538? False Is -680/3 <= -228? False Which is bigger: 264 or -0.95? 264 Is 1382 greater than or equal to 1382? True Is 3470 greater than or equal to 3471? False Is 2/7 at least as big as 0.76? False Is -1558 >= -1569? True Which is smaller: -97 or -96? -97 Which is bigger: -671 or -0.3? -0.3 Which is bigger: 125 or 130? 130 Is -30/7 <= -4? True Is 3/50 at least
{ "pile_set_name": "DM Mathematics" }
2*h**2 + 2*h + 1. Let q(i) = i**3 - 14*i**2 + 11*i + 25. Let m be q(13). Is 13 a factor of n(m)? True Let p be (-2)/6 - 552/(-9). Let i = -37 + p. Is 8 a factor of i? True Let c be 4/(72/6081) - 2/(-12). Let h = c + -199. Does 27 divide h? False Suppose -6*u + 375 = -615. Is 11 a factor of u? True Suppose -3*m + 1244 + 145 = 3*i, -454 = -m + 2*i. Is m a multiple of 10? True Does 30 divide 8 - (-2 + -798) - -1? False Let s(n) = -13*n - 18*n**2 - 2*n**2 + 19*n**2. Suppose 3*u + 3 = 5*t - 4*t, 4*u = 2*t + 2. Is s(t) a multiple of 12? True Let o(s) = -39*s + 9. Let t be o(7). Let g be 15/(4*(-9)/t). Suppose 0*w = 5*w - g. Is w a multiple of 16? False Suppose -r - 3*i + 351 = 0, -438 = -2*r - 3*i + 273. Is r a multiple of 45? True Let z be ((-8)/(-20)*5)/(-2). Let a be (z + 0)*1085/(-7). Does 13 divide 2/(4 - a/40)? False Let t(g) = g**3 - 5*g**2 - 5*g - 2. Let x be t(6). Let d(r) = 8*r + 11. Let u(v) = 23*v + 31. Let k(b) = -11*d(b) + 4*u(b). Is k(x) a multiple of 12? False Let h be 6 + (-9)/(-27)*-3*1. Does 41 divide 168 + (-1 - -2 - h)? True Let u = 2 + -2. Let q be (5/(-3))/(1/(-9)). Suppose u = 5*g - q - 30. Does 3 divide g? True Let p(h) = 14 - 5*h - 1 + 4*h. Let g be p(9). Is 6 a factor of (12*2)/1 - g? False Let p(z) = -2*z**2 + 2*z + 34. Let a be p(0). Suppose 32*o + 38 = a*o. Is o a multiple of 19? True Let j(x) = -5*x + 9. Let g be j(7). Let f = 71 + g. Is 9 a factor of f? True Suppose 0*k - 28 = 4*k + 4*p, -3 = k - 3*p. Let h(i) = i**2 - 11*i + 5. Does 26 divide h(k)? False Let c be 4 + (-1 - (-4 + 3)). Suppose 4*l = c*p - 12, 0*p + 4*l = p - 3. Suppose p*u = u + 78. Is u a multiple of 13? True Let x(g) = g**2 + 15*g + 2. Let l be x(-15). Let j(u) = -2 + 8*u - 9*u + l*u. Does 5 divide j(9)? False Is 61 a factor of (-508)/(-1) + -7*1? False Let h = -262 - -810. Is h a multiple of 4? True Let l(u) = u**2 + 17*u - 9. Let s be l(-18). Let g be ((-158)/(-4))/(s/(-18)). Let q = 114 + g. Is 35 a factor of q? True Let n(f) = -f**3 + 6*f**2 + 8*f + 10. Let h be n(8). Let a = h - -152. Suppose c - a = -w - 2*c, 3*c - 300 = -3*w. Is w a multiple of 27? False Suppose 9*x - 1089 + 144 = 0. Let k = x + -15. Is 6 a factor of k? True Suppose 2*z + 2*z = 16. Suppose -3*p + 220 = n - 141, 5*n = -4*p + 474. Suppose 4*c - z*l - p = l, l = -5*c + 173. Is c a multiple of 17? True Suppose -6*p = -3*p + 132. Let h = p - -56. Does 4 divide h? True Let h = 1520 - 1329. Is 7 a factor of h? False Suppose -4*i - 65 = 15. Is 25 a factor of 4/20 - 2216/i? False Let q(p) = -p**3 + 6*p**2 + p - 9. Let j be q(5). Let v = j + -24. Let u(b) = b**3 + 7*b**2 - 4*b - 6. Is u(v) a multiple of 6? True Let o be 2 + (-1 + 1 - -5). Let r = o + -16. Let t = -3 - r. Does 2 divide t? True Suppose -889 = -4*s - 5*x - 182, 0 = 3*x + 3. Let m = s - 149. Is m a multiple of 7? False Is 3/(-36) + (-57722)/(-24) a multiple of 13? True Let v(f) = -f**2 + 2*f + 2. Let t be v(4). Let u(z) = z + 13. Does 7 divide u(t)? True Suppose 3*c - 588 = 729. Suppose -5*a + i = -0*i - c, -4*a = 3*i - 336. Is 18 a factor of a? False Suppose -10 - 6 = -k - 5*z, z = 1. Suppose -f - k = 1. Is 3/((-12)/8) - f a multiple of 10? True Suppose 3*g + k - 329 = -3*k, 5*k = -3*g + 328. Is g a multiple of 15? False Let x = 65 - -47. Is 12 a factor of x? False Suppose -23*x + 20*x - 111 = 0. Let g = 10 - x. Does 6 divide g? False Let o be 1032/(-4 + 1) - -1. Let r = -234 - o. Is 14 a factor of r/3 + 4/6? False Let r be (-3)/(-3)*(2 + 0) + 92. Suppose 4*i - 122 = r. Is 18 a factor of i? True Suppose l + 232 + 529 = f, f - 5*l - 753 = 0. Does 109 divide f? True Let h(o) = o**2 + o - 30. Does 4 divide h(18)? True Let u = 46 + 18. Suppose 3*q + 5*f = 95, 2*q + 7*f = 3*f + u. Is 3 a factor of q? True Let t(l) = l + 1. Let a be t(5). Let u = 1 - 1. Suppose a = 2*p - u. Does 2 divide p? False Let y(z) = 22*z**2 + 12*z + 21. Does 25 divide y(-4)? True Suppose q = -2*y + 3*y - 15, 0 = 4*q + y + 55. Suppose -2 - 8 = -i. Let g = i - q. Does 12 divide g? True Does 5 divide (-5065)/(-20) + -4 + (-7)/28? False Does 8 divide (-111 + 4695)/(0 - (-3)/2)? True Suppose -2707 = -20*c + 2413. Does 32 divide c? True Suppose -2*m + 93 - 32 = y, 0 = -3*y - 15. Suppose 25*q = m*q - 416. Does 14 divide q? False Suppose -2*c + 1743 = 543. Suppose 20*l = 15*l + c. Is 12 a factor of l? True Suppose -3*m = -3*k + 127 + 17, -5*m - 28 = -k. Is k even? False Suppose 491 - 6936 = -5*r + 5*c, -20 = 4*c. Is r a multiple of 7? False Let x = -326 - -135. Let p = x + 352. Does 23 divide p? True Suppose 2*z - 5*p = -225, -4*p - 400 = 3*z + p. Does 18 divide (-1 + -1)/(-2) - z? True Let x = 335 + 643. Is x a multiple of 24? False Let h be (-3)/3 - (2 + 0). Let z be (-2)/h + 10/(-15). Suppose -5*i + 55 = -z. Is i a multiple of 11? True Let g = 762 + -242. Is g a multiple of 26? True Let t(h) = h**3 + 3*h**2 - 28*h - 11. Does 12 divide t(-6)? False Let i = -2 - -5. Let x(f) = -f**2 - 7*f + 5. Let w be x(-7). Suppose -i*t + 26 = w. Is t a multiple of 3? False Suppose -9831 = -12*c + 933. Is 39 a factor of c? True Suppose 5*q - 2 = -3*n, -2*n - 4*q = -0*q. Suppose 2*r - 5*m = 51, -n*r + 0*m = -5*m - 107. Does 7 divide r? True Suppose -18*s - 5*s + 6601 = 0. Does 12 divide s? False Let t = -48 - -159. Let q = 45 - t. Is (q/(-9))/(6/81) a multiple of 22? False Let q be 232*(-11)/(-26) - (-18)/(-117). Let c be 4/(-14) - 383/7. Let k = q + c. Is 15 a factor of k? False Suppose -i + 1260 = 4*b, -3*b + 0*i = -i - 952. Does 2 divide b? True Let m(s) = -s - 11. Let p(o) = 2*o + 23. Let c(y) = -7*m(y) - 3*p(y). Let f be c(-5). Suppose -f*t + 72 + 5 = 2*g, 0 = -4*g - 3*t + 157. Does 10 divide g? True Suppose 3*f = -3*f + 36. Let g be (21/(-9) + -3)*f. Let c = -11 - g. Does 21 divide c? True Let b = -198 - -279. Is b a multiple of 9? True Let c(u) = -u**2 + 24*u - 10. Let m be c(23). Suppose 4*x = -m*x + 1224. Does 6 divide x? True Let b = -4 - 2. Is 16 a factor of (24*3/15)/(b/(-20))? True Let l = -11 + 8. Is ((-3 - l) + 5)/(2/6) a multiple of 3? True Suppose -2*o + 4 = 0, -3*o - o = -5*l + 517. Suppose 0 = 5*q - f - 163, -2*q + 5*q - l = -3*f. Does 2 divide q? False Let z(a) = a**2. Let o be z(-2). Suppose o*c - 3*c = 5. Suppose -150 = -5*s - c*d, 0*s + 5*d = -3*s + 90. Is s a multiple of 15? True Suppose 1834 = 3*b + 4*a + 266, -2617 = -5*b - 3*a. Does 6 divide b? False Suppose h - 2*i - 615 = 0, 2*i - 607 = -h - 4. Does 21 divide h? True Suppose 90*x = 83*x + 11242. Is 6 a factor of x? False Let z(o) be the second derivative of o**5/60 + o**4/24 - 11*o**3/6 + 2*o**2 + 4*o. Let q(p) be the first derivative of z(p). Is 6 a factor of q(5)? False Suppose 3*f = 6, 5*t = 5*f + 1190 + 350. Is t a multiple of 62? True Suppose 2 = o - 0. Let s = -48 - -38. Let a = o - s. Is 4 a factor of a? True Suppose -3*q - 2 = -t, 3*t - 8 = 7. Suppose 3*r = -4 + q. Is 7 a factor of (-7)/(2/(-3 + r))? True Let f be ((-48)/9 - -2)*-3. Let o be (-3)/1*1*f. Is o/(-10) - (-8 + -1) a multiple of 4? True Let q = -292 + 1026. Does 14 divide q? False Suppose 2*f + o - 72 = 0, -2*f - 3*f = -4*o - 206. Is f even? True Suppose 2*l - 83 = -5. Let v = 88 - l. Does 17 divide v? False Let f(v) = -6*v - 7. Let y(o) = -2*o + 17. Let d be y(7). Let i be ((-6)/(-1))/(d/(-4)). Does 8 divide f(i)? False Let r be (-8 - 9) + 10/2. Let o(i) = -82*i**3 + i**2 - 1. Let u be o(1). Let k = r - u. Is 14 a factor of k? True Let z(l) = 6*l**2 + 9*l - 11. Does 21 divide z(9)? False Let s = -146 - -148. Suppose 20 = s*u + 2*f - 520, -4*f = -2*u + 540. Is u a multiple of 15? True Let a(o) = o - 1. Let w be a(0). Let j(m) = -m**2 - 3*m. Let u be j(w). Suppose -4*f - 4*k + 132 = 0, -5*f = -0*k - u*k - 186. Does 9 divide f? True Let i be ((-14)/5)/(2/(-70)). Let v(j) = -19*j**3 - 3*j**2 + 2. Let q be v(-2). Let m = q - i. Is m a multiple of 9? False Let j be 3/(-2)*12/9. Is 11 a factor of ((-5)/j)/(1 + (-42)/44)? True Suppose 23*p = 6*p + 1530. Does 2 divide p? True Suppose -o - 9 - 1 = 0. Does 4 divide 12/45*-3*o? True Let q(o) = 2*o - o + 86*o**3 - 2 - 71*o**3 + 2*o. Let h be q(3). Suppose -3*x - h = -7*x. Is x a multiple of 22? False Let v = -44 - -46. Does 11 divide 1/(157/(-79) - -2) - v? True Is (5379/(-55))/(-1) + 2/10 a multiple of 7? True Suppose 122*p = 120*p + 854. Does 5 divide p? False Let x(l) = -2 + 0*l + l
{ "pile_set_name": "DM Mathematics" }
/(-1) + -1393 + 8. Let j = a + 2038. Is j a prime number? True Let o = -4924 + 7248. Suppose -4*k + 3*q - 3174 = -5*k, -k + 3169 = -2*q. Suppose -7*f + o + k = 0. Is f prime? False Let f(k) = k**3 + 29*k**2 + 37*k - 12. Suppose 3*l + p = -71, 0 = -l - p - 2*p - 13. Is f(l) composite? True Suppose 0 = l + 3*c - 148, 5*c = -4*l + 358 + 255. Let v = 804 - l. Is v a composite number? False Suppose -325 + 133 = -48*c. Suppose -5485 = -5*z - 1470. Suppose 5*y = 4*v - 632, -y = 5*v - c*y - z. Is v prime? True Let h(j) = -7450*j**2 - 4*j + 2. Let p be h(-3). Is (-1 + 3)*p/(-8) prime? True Let m = 139276 + -75327. Is m prime? True Suppose -o = -53 + 12. Suppose -4*x - 3*p = 6, p - 42 = -x - 44. Suppose o*t - 36*t - 2155 = x. Is t prime? True Let j = 4081 - 810. Is j prime? True Suppose -4*m - p - 588099 + 3087149 = 0, -2*m = -2*p - 1249530. Is m a composite number? False Let g(n) = -n**3 - 2*n**3 + 10*n - 2*n - 8*n**2 + 4*n**3 - 5. Let b be g(7). Suppose 3*x - 2216 = 5*l + 230, 2*x - b*l = 1624. Is x prime? False Let i = -75 - -91. Suppose -5544 = -i*o + 2216. Suppose -8*z + o = -7*z. Is z composite? True Suppose 3161712 = 412*z - 364*z. Is z a prime number? False Let b(r) = -2*r - 24. Let f be b(7). Let g = f + 41. Suppose 12 = g*l - 0, 0 = 4*q + l - 5096. Is q composite? True Let t be 4/10 - 26/(-10). Let y = 712 + 578. Suppose -y = -t*d + 1377. Is d a prime number? False Let u = -1 - -11. Let f be -4*1/(u/15). Is (333/f)/(6/(-4)) composite? False Suppose 6*c - z = 700420, 0 = -3*c + 6*c + 2*z - 350215. Is c a composite number? True Let h(j) = 2*j**2 - 2. Let x be h(-2). Suppose 0 = 4*n - n - x. Suppose -3*o + n*p = -1157, -3*o + 3*p - 4*p = -1172. Is o a composite number? False Let i(p) be the second derivative of p**5/20 - 2*p**4/3 - 10*p**3/3 + p**2 + 2*p + 3. Is i(14) prime? False Let k = 730 + -335. Let l = 561 - k. Is l composite? True Is 994947352/5096 + (-2)/(-13) a prime number? True Suppose 5*x - 7 = 13. Suppose 3*b - 2417 = -f, 2*b + 0*f - x*f = 1616. Let s = b - 327. Is s composite? False Let t(i) = 65*i - 19. Let d be 1*2/(-1)*(-17)/(-34). Let r(y) = y. Let m(l) = d*t(l) + 5*r(l). Is m(-6) composite? False Let b(i) = -i**3 + 2*i**2 + 4*i - 615. Let w be b(0). Let j = w - 35. Let l = 147 - j. Is l a prime number? True Let l(k) = -10 + 154*k - 5 - 4 + 4. Is l(2) a composite number? False Let h = 152887 + -75008. Is h a composite number? True Suppose w = 44 + 68. Let k be w/(-6)*(-1461)/2. Suppose 0 = 5*n - 9*n + k. Is n prime? False Let v = 21 - 15. Suppose -4*g = 10*u - v*u - 1844, -5*u + 2273 = -3*g. Is u a prime number? True Suppose -208*p + 166*p = -11101566. Is p prime? True Suppose -189*l + 33528780 = -9*l. Is l a composite number? False Suppose 2*f - 2013 = -j + 2056, 6 = 2*j. Let a = 6894 - f. Is a a composite number? False Let c(n) = -n**3 - 9*n**2 - 13*n + 7. Let m be c(-7). Suppose -s + 420 + 1357 = m. Is s a composite number? False Suppose 10380*l = 10402*l - 3171058. Is l a composite number? False Suppose -896*x = -899*x + 5*l + 296149, 4*x - 394884 = 2*l. Is x prime? False Suppose 3*i - 40*j + 35*j = -104, 80 = -3*i - j. Is 137241/21 - (-8)/i composite? True Let f = -30408 - -54107. Is f prime? False Let r(w) = 17*w**3 + 16*w**2 + 35*w - 4. Let u(f) = -4*f**3 - 4*f**2 - 9*f + 1. Let k(t) = -2*r(t) - 9*u(t). Let h be k(-9). Let x = 2943 + h. Is x prime? True Let i(h) = h - 32. Let c(t) = -3*t + 65. Let w(a) = -3*c(a) - 7*i(a). Let y be w(-16). Is 1 + 712 + (-12)/y composite? True Let h = 3443 + 4245. Let o = 15591 - h. Is o a prime number? False Let h be (-2 + 1)*-86*(-6)/(-12). Suppose -h = -x + 80. Suppose 2*b + 5*t = 355, -5*b + 805 = -t - x. Is b a prime number? False Let m = -3097 - -943. Let p = m + 6437. Is p a composite number? False Suppose 13*q = 11*q + 8. Suppose 10288 + 7396 = q*j. Is j prime? True Suppose -103*o + 105*o = 5*z + 324887, -5*o - 5*z + 812270 = 0. Is o prime? True Let f(z) = -z**3 + 22*z**2 - 37*z - 58. Let g be f(20). Suppose g*i - 63107 = -9*i. Is i a composite number? False Let q(r) = 19*r + 2381. Let b be q(-128). Let j(v) = -v**2 - v + 106. Let c be j(0). Let a = c - b. Is a composite? False Suppose -6027451 = -5*k + 2*l, 3*k - 3616477 = -0*k - 2*l. Is k prime? False Let s = 1310180 + -223611. Is s a composite number? True Let f = -40634 + 58325. Suppose -12*s + f = -9*s. Is s composite? False Let a = 82046 - -23935. Is a composite? True Let m = -11 - -14. Suppose 5*d - u - 19 = 0, d - m = 3*u - 2. Is ((-4)/(-1))/d*529 prime? False Let y be (-5202)/45*(1 - 26). Let z = y - 1719. Is z composite? False Let d be (4 + 19 + -1)/((-4)/(-6)). Suppose 236703 + 57756 = d*s. Is s composite? False Suppose 2*p - n = -3*p + 567785, 0 = -2*n. Is p prime? True Let d(i) = 15*i - 26*i + 4*i - 2 - 6*i**2. Let j be d(-3). Is -3 - (1/5 + 109557/j) a composite number? True Suppose -4*j + 9 = -4*v - 7, 4*j - 5*v = 16. Suppose -3*r = 2*w - r - 5760, -j*w + 5*r = -11511. Is w prime? True Suppose 5*f = 2*m - 2838 + 10920, -3*f - 12123 = 3*m. Let i = -2444 - m. Is i a composite number? False Let w(a) = a**3 - 11*a**2 - 70*a - 22. Let x be w(18). Suppose 4*r + x - 16318 = 0. Is r prime? True Suppose -2*d + j - 13165 = d, 17558 = -4*d - j. Let r = 2962 + d. Let v = -4 - r. Is v a prime number? True Let r(l) = -3*l**3 + 3*l**2 + 2*l - 5. Let c(f) = 3*f**3 - 3*f**2 - 2*f + 4. Let q(w) = -5*c(w) - 4*r(w). Let s be q(-1). Is 1596/21*(25/s - -1) a prime number? False Let y(u) = -u**2 - u + 19. Let g be y(0). Suppose g = -o + 38. Is (4 - 2) + o + -2 composite? False Let q = 286 - 1204. Let c = -521 - q. Let s = -238 + c. Is s prime? False Let f(o) = 17591*o**2 - 21*o + 37. Is f(3) a composite number? False Let h(v) = -1322*v - 9. Let n be h(-12). Suppose -m - 4*m + n = 0. Let t = m + -1648. Is t a prime number? True Suppose 5606121 + 1829743 = 8*u. Is u composite? False Suppose -201866 = -55*v + 211899. Is v a composite number? False Suppose -3*o + 9 + 3 = 0. Suppose 19*q = -o*q + 82961. Is q composite? False Is (1/2)/((-19)/(-14478)) a composite number? True Suppose -m + 3*i = -140195, 2*m - 521*i = -526*i + 280401. Is m prime? False Let c(n) = -85*n + 41. Let j be c(-7). Suppose 3*s - 2*s - 159 = -f, -4*f + 4*s = -j. Is f prime? False Let b(m) = m**2 + 6*m + 2161. Let a(i) = -i**2 - 7*i - 2161. Let z(s) = 4*a(s) + 5*b(s). Is z(0) a composite number? False Suppose -15*a + 3160 = -7*a. Let q = a + 1254. Is q composite? True Suppose z = -2*z - 6. Let h(f) = f**3 - f**2 + 2. Let o(a) = 46*a**3 + 7*a**2 + 4*a - 11. Let w(b) = -6*h(b) - o(b). Is w(z) prime? True Suppose 89892 - 9435 = 3*w. Is w a prime number? False Let j(q) = 189*q**2 - 9*q + 185. Is j(-12) composite? False Is 410/(-246)*(-213414)/10 a prime number? True Let n be 1 - 2 - (29 + -1940). Suppose -n - 515 = -5*q. Is q a prime number? False Let j(s) = -467*s**2 + 7 - 2 + 6*s - 250*s**2 + 1177*s**2 - 2. Is j(-4) a prime number? False Let s = -1185 - -4024. Is s prime? False Is 0*1/2*-1 + 121823 a prime number? False Suppose -52*s = -7 + 111. Suppose 8*n - 115 = 3*n. Is (n/(-23))/(s/1462) a prime number? False Suppose -2388 + 365 = -7*w. Suppose 3*a - 3*d + d = -w, -d = -5. Is (a/(-6))/(2/8) a prime number? False Suppose 3*s - 7047 + 1463 = -4*n, 9324 = 5*s - 2*n. Let v = s - 87. Is v a composite number? False Let x(h) = h**3 + 5 - 13*h - 8*h**2 - 14 + 0*h**3. Let v be 25/125 + (-128)/(-10). Is x(v) composite? True Let u be 25 + -18 - (1 - 7). Suppose -u*g = -16*g + 4971. Is g prime? True Suppose 498*y - 514*y = -6895984. Is y prime? True Let n(x) = 18425*x - 2554. Is n(21) prime? False Let j = -462 - -501. Let w = 17002 - j. Is w prime? True Let b be ((-28)/(-98))/(6/105). Suppose 51727 = b*s + 2*w, s - w = -3*s + 41392. Is s a prime number? False Suppose 53644 = 5*s - 3*i, 4*s - 19713 = 3*i + 23204. Is s prime? False Let g = 8954 + 13244. Suppose 18*n - g = -4450. Suppose n = 2*t + 240. Is t a composite number? False Suppose -2*x + d = -112, 0 = 4*x + 2*d - 0*d - 232. Is (11558/(-3))/(x/9 - 7) composite? False Let r(f) = -f**3 + 6*f**2 - 4*f. Let l be r(5). Suppose -l*m - 1284 = 706. Let i = 149 - m. Is i a prime number? True Suppose t - 20 = -19*t. Is (83 - 84) + (9799 - t) composite? True Let q = -84691 + 170160. Is q a prime number? True Let z be (17 + 13)*(-2)/(
{ "pile_set_name": "DM Mathematics" }
placement from oooomoooomoomm? 270/1001 Four letters picked without replacement from nnnnnntnnnnnnnn. What is prob of picking 4 n? 11/15 Two letters picked without replacement from gggggtgtg. Give prob of picking 2 t. 1/36 Three letters picked without replacement from nnninnninnnnnnnnnnn. What is prob of picking 1 n and 2 i? 1/57 Calculate prob of picking 2 o and 2 y when four letters picked without replacement from woyoy. 1/5 Two letters picked without replacement from amelalaeoee. Give prob of picking 2 e. 6/55 Three letters picked without replacement from {d: 4, m: 1, h: 1, v: 1, k: 1}. What is prob of picking 1 m, 1 v, and 1 k? 1/56 Calculate prob of picking 3 t when three letters picked without replacement from {w: 1, o: 4, t: 5}. 1/12 Three letters picked without replacement from yrrrrrryry. What is prob of picking 3 r? 7/24 Calculate prob of picking 1 p and 2 s when three letters picked without replacement from {p: 5, s: 8}. 70/143 What is prob of picking 1 m, 1 a, and 1 r when three letters picked without replacement from caaaxrmxppcx? 3/220 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {t: 4, a: 16}. 32/95 Calculate prob of picking 1 z and 1 o when two letters picked without replacement from jsozoz. 4/15 Four letters picked without replacement from ccmmmvm. Give prob of picking 3 m and 1 c. 8/35 What is prob of picking 1 b and 1 o when two letters picked without replacement from fhkbhobbbkhobhboh? 9/68 What is prob of picking 1 v and 1 c when two letters picked without replacement from gfogvogvvycgycv? 8/105 Three letters picked without replacement from nlnjjjjjjjjjlj. Give prob of picking 3 j. 30/91 Two letters picked without replacement from {i: 3, o: 8}. Give prob of picking 2 i. 3/55 Three letters picked without replacement from {n: 8, y: 1, q: 2, l: 7}. Give prob of picking 2 l and 1 q. 7/136 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {a: 3, g: 15}. 5/17 Four letters picked without replacement from qqqqqqqqkqqkq. Give prob of picking 2 k and 2 q. 1/13 Calculate prob of picking 1 y and 3 s when four letters picked without replacement from {y: 4, s: 15}. 455/969 Calculate prob of picking 3 b when three letters picked without replacement from {b: 6, a: 4}. 1/6 What is prob of picking 3 c when three letters picked without replacement from {c: 3, h: 13}? 1/560 Two letters picked without replacement from {h: 2, l: 4, n: 5}. Give prob of picking 2 n. 2/11 Two letters picked without replacement from frrrrfrrrrrrbrrrr. What is prob of picking 1 f and 1 r? 7/34 What is prob of picking 1 j and 2 f when three letters picked without replacement from jijijfffiifkijjfj? 3/34 Two letters picked without replacement from {o: 6, x: 2, i: 1, c: 3, a: 2}. Give prob of picking 1 o and 1 x. 12/91 Two letters picked without replacement from {t: 2, r: 3, h: 5}. What is prob of picking 1 r and 1 t? 2/15 Four letters picked without replacement from {f: 1, g: 4, w: 2, o: 2}. What is prob of picking 1 o, 1 g, and 2 w? 4/63 What is prob of picking 1 h and 1 a when two letters picked without replacement from azzjhzazahzzahzazjz? 5/57 Four letters picked without replacement from {x: 2, n: 1, l: 1, f: 2, g: 1}. Give prob of picking 1 x, 1 n, 1 l, and 1 f. 4/35 Four letters picked without replacement from gkggaggqgkaalaggggg. Give prob of picking 3 g and 1 q. 55/1292 Two letters picked without replacement from mmgbbmdmdmbmdm. Give prob of picking 1 g and 1 b. 3/91 Calculate prob of picking 1 n and 1 b when two letters picked without replacement from rbrbbkwnxwr. 3/55 Three letters picked without replacement from {j: 2, t: 1, q: 3, b: 1, g: 3}. What is prob of picking 1 j and 2 g? 1/20 What is prob of picking 1 j and 2 w when three letters picked without replacement from {w: 5, j: 1, b: 2, q: 5, o: 6, x: 1}? 1/114 Calculate prob of picking 1 z, 1 e, and 1 j when three letters picked without replacement from {w: 4, n: 1, e: 3, j: 1, z: 5, c: 4}. 5/272 Calculate prob of picking 2 s and 2 u when four letters picked without replacement from snooousoouuuqouubb. 1/204 Calculate prob of picking 4 f when four letters picked without replacement from rrffrfrrrrrrffrfrr. 1/204 Two letters picked without replacement from {s: 2, p: 4, y: 1}. What is prob of picking 1 s and 1 p? 8/21 What is prob of picking 2 l and 1 g when three letters picked without replacement from {t: 3, h: 7, l: 2, g: 3, u: 5}? 1/380 Calculate prob of picking 1 d and 1 k when two letters picked without replacement from ldkldll. 2/21 Calculate prob of picking 1 h and 1 m when two letters picked without replacement from hhmhhhhhmhmhhm. 40/91 Three letters picked without replacement from ddddddddd. What is prob of picking 3 d? 1 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {k: 1, u: 1, v: 1}. 1/3 Two letters picked without replacement from uhwumhbm. Give prob of picking 1 m and 1 h. 1/7 Four letters picked without replacement from {f: 4, g: 9, p: 1, d: 1}. What is prob of picking 1 f, 1 p, and 2 g? 48/455 Four letters picked without replacement from {f: 3, r: 7}. What is prob of picking 3 f and 1 r? 1/30 What is prob of picking 2 o when two letters picked without replacement from odqycydodyo? 3/55 Three letters picked without replacement from ggggnhgggghhhcggh. Give prob of picking 2 h and 1 n. 1/68 Three letters picked without replacement from xxiiexeieeevxevdx. Give prob of picking 1 e, 1 v, and 1 i. 9/170 What is prob of picking 1 q and 1 y when two letters picked without replacement from {f: 4, q: 5, y: 2}? 2/11 Two letters picked without replacement from eqqmy. What is prob of picking 2 q? 1/10 Four letters picked without replacement from {m: 6, e: 1, q: 7}. Give prob of picking 3 q and 1 m. 30/143 What is prob of picking 2 v when two letters picked without replacement from {z: 1, v: 2, o: 2}? 1/10 Four letters picked without replacement from {g: 3, k: 5, e: 1, m: 5, f: 1, b: 3}. What is prob of picking 1 b, 1 m, and 2 f? 0 Four letters picked without replacement from ccccccccceeeecccccc. Give prob of picking 4 c. 455/1292 Four letters picked without replacement from {i: 19, o: 1}. Give prob of picking 3 i and 1 o. 1/5 What is prob of picking 3 g when three letters picked without replacement from {m: 11, g: 1, k: 3}? 0 What is prob of picking 2 i and 1 a when three letters picked without replacement from {o: 1, e: 1, i: 4, c: 2, d: 5, a: 2}? 12/455 Four letters picked without replacement from {l: 2, i: 4, p: 2, w: 1}. Give prob of picking 1 i, 1 p, 1 l, and 1 w. 8/63 Two letters picked without replacement from {v: 1, d: 2, f: 1, j: 1, m: 2, w: 1}. Give prob of picking 1 w and 1 v. 1/28 Two letters picked without replacement from {i: 4, b: 2, v: 2, y: 2, z: 8, j: 1}. What is prob of picking 2 v? 1/171 Three letters picked without replacement from {w: 2, n: 3, p: 3, g: 3, o: 2}. Give prob of picking 2 g and 1 p. 9/286 Four letters picked without replacement from bheabhbagebe. What is prob of picking 2 e, 1 g, and 1 h? 2/165 What is prob of picking 3 f when three letters picked without replacement from fffuxxffffuf? 14/55 What is prob of picking 1 m and 2 q when three letters picked without replacement from {a: 4, q: 3, d: 4, h: 6, m: 2, e: 1}? 1/190 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from oozzzozzoz. 8/15 Two letters picked without replacement from lolxhhnllo. Give prob of picking 1 n and 1 l. 4/45 Four letters picked without replacement from uuuu. Give prob of picking 4 u. 1 Two letters picked without replacement from zzqzqqzqzqqzzqzzqzq. Give prob of picking 2 q. 4/19 What is prob of picking 2 s and 2 w when four letters picked without replacement from {i: 2, w: 2, s: 2}? 1/15 Three letters picked without replacement from {q: 1, s: 7, i: 2}. Give prob of picking 2 i and 1 s. 7/120 Four letters picked without replacement from fffftt. Give prob of picking 3 f and 1 t. 8/15 Three letters picked without replacement from {k: 15, y: 3}. What is prob of picking 3 k? 455/816 Two letters picked without replacement from fddhpddpdpspssdds. Give prob of picking 1 h and 1 p. 1/34 What is prob of picking 1 w and 1 h when two letters picked w
{ "pile_set_name": "DM Mathematics" }
g = 932.4 + -903.4. What is the nearest to 2 in g, -5, 1? 1 Let x = 1476.29 - 1470. Let q = -6.61 + x. Which is the nearest to -2/7? (a) 2 (b) q (c) -0.1 b Let f = -10369/5 + 2074. Which is the closest to -1? (a) f (b) -0.4 (c) 27 b Let w be (-16)/(-7) + (-1131)/1092. What is the closest to -11/10 in -2/9, 5, w? -2/9 Let j = 0.8 + -1. Let g = 670/137 - 2147/411. Which is the nearest to g? (a) -1/4 (b) -9 (c) j a Let h = -220339/11 + 20031. Let u = 4 + -1. Which is the closest to 2? (a) h (b) 0.3 (c) u c Let a = -308 - -820. Let r = 507 - a. Let z = 0.007 - -31.993. What is the closest to 2/3 in z, r, -0.4? -0.4 Let g = -0.06 - -6.06. Let h = g + -5. Suppose 0 = 2*x - 5*u - 6 + 11, -4*x - 18 = -2*u. Which is the nearest to h? (a) x (b) 1/3 (c) 1 c Let o(x) = -6*x - 1. Let a be o(-7). Let q = -125252 - -125252. What is the closest to 1 in a, 3, q? q Suppose 0 = 18*y - 203 - 13. Suppose -2*v = -5*d + y, -8*v = -6*v - 2*d. What is the closest to -5 in v, 11, -0.1? -0.1 Let z = -4.5516 + 0.0116. Let s = z - 0.46. Suppose 3*h + 5 = -2*h. Which is the closest to 0.1? (a) s (b) -4 (c) h c Let l = 20 + -81/4. Suppose 3*n + 3*y - 11 = 8*n, -20 = 2*n + 4*y. Which is the closest to n? (a) l (b) -4 (c) -5 b Let g = -239.0071 - -0.0071. Let z = g + 243. Which is the closest to -0.089? (a) z (b) -0.2 (c) -1/4 b Let m be 35/(9/18 + ((-34)/20 - -1)). Which is the nearest to -0.1? (a) -2 (b) -1 (c) m (d) 2/3 d Let k = 1718 - 25768/15. What is the closest to 0 in 1/5, 25, 3/2, k? k Let t be 48/(-36) - 99/(-54). What is the nearest to -1 in -3, t, -2, 1/26? -2 Let i(q) = 2*q**2 - 6*q - 4. Let u be i(3). Let f be ((24/70)/3)/(u/(-10)). Let x = 112/3 - 572/15. Which is the nearest to f? (a) x (b) 0.4 (c) 0 b Let t = 0.2 - -0.8. Let h = 21.49 + -21.49. Let u be (-4)/(-9)*(-7)/14. What is the nearest to t in -2, h, u? h Let j be 3 + 0 + (71 - 81) - (1 - 8 - -2). Let t = -5.6 + 6. Let i = 4 - 1. Which is the nearest to j? (a) t (b) -1/6 (c) i b Suppose 2*s = -4*i - 3*s + 9, -5*i = -5*s + 45. Let v = -1.2 - -0.8. Let t = 0.5 + -1. What is the closest to i in t, -0.1, v? t Suppose 34*r - 23 - 79 = 0. Suppose -8*l - 16 = -4*l, -2 = -r*o + 2*l. Let z = 9.1 - 9. Which is the nearest to z? (a) -0.3 (b) o (c) 1/12 c Let j be 300/630 - 1/3. Let t(y) = y**3 + 26*y**2 + y + 22. Let v be t(-26). Which is the nearest to -0.12? (a) v (b) j (c) -2 b Let y = 337 + -337.594. Let k = y - 12.406. Which is the closest to 2? (a) -5 (b) k (c) 0.2 c Suppose -g - 17 = 2*y, -6 + 33 = -g - 4*y. Let s = 32 + -159/5. Which is the nearest to -1? (a) g (b) s (c) -1 c Let f = -11692 + 11691.6. What is the closest to f in -0.2, 8, 3? -0.2 Let a = -16644841/177 + 94039. Let f = a - 1/59. Let s = -1382 - -2761/2. What is the nearest to f in 0.1, s, -16/7? 0.1 Let d = -0.8 + 19.8. Let v = 13 - d. Let j be (67/3 - 21)*(-3)/1. What is the nearest to 1 in v, j, -0.5? -0.5 Let v = -1.1499 + 1.0499. Which is the closest to -10? (a) -4 (b) v (c) -3 a Let n = -3 - -8. Let z be (-3)/(3/1)*0. Let q = -417 + 2083/5. Which is the closest to q? (a) z (b) n (c) 2/3 a Let x = -179 - -178.908. Let s = -0.592 - x. What is the closest to s in -3, 3/2, 5? 3/2 Let g = 0.24 + -0.16. Let t = 0.045 - -0.145. Let z = 0.11 + t. What is the nearest to z in -5, -3, g? g Let v = 177 - 178. Let w = 11.1 - 12. What is the nearest to v in w, 2/7, 0.4? w Let w = 8.2 + -8.6. Let k be 2/(-20)*24/(-6). What is the closest to -0.19 in 4, w, k? w Let s = 0.22 + 0.08. Let b = -422 - -418. Let i = -2.3 - -5.3. What is the closest to s in b, -1, i? -1 Let n = 10046/12545 - 2/2509. What is the nearest to 0 in 7/2, n, -123? n Let q = -2234 - -2234.4. Let j = 12.8 - 12.8. Which is the closest to j? (a) 5 (b) 3 (c) q c Let p = -1.385 - -1.785. Which is the closest to 0? (a) p (b) 145/6 (c) -0.2 c Let d be (-12636)/(-2340) - (2 + -1). What is the nearest to 1.8 in d, -4, -0.3, -3? -0.3 Let p = -17.4 - -17.5. Let o be (14/(-6))/(9 - 195/26). Which is the nearest to p? (a) o (b) -1 (c) -1/7 c Let t = -3643 - -193073/53. What is the nearest to t in -2/5, 2/7, -1/9? -1/9 Suppose -103 = -104*i + i. What is the nearest to i in 0.5, -10, -1/2, -1? 0.5 Let r = 0.3 + -0.4. Let o(i) = -2*i + 45. Let z be o(-26). Suppose 31*m = z - 252. Which is the nearest to 6? (a) 5 (b) r (c) m a Let z = 4.91 + 0.09. Let l = 8199 - 8201. What is the closest to -0.1 in -0.3, l, z? -0.3 Let t = -0.9699 - -1.9699. What is the closest to 1 in t, 35, 0, -15? t Let f = 12492 + -12495. What is the closest to 45/11 in 2, f, 1/3, -5? 2 Let q be (30/14)/((-218)/(-763)) - 6/1. Let x = -44996 + 403670/9. Let m = x - -144. What is the nearest to m in 1, q, -0.4? -0.4 Let q = -994 - -997.152. Which is the nearest to -1/3? (a) 2/9 (b) q (c) 0.3 a Suppose -4*k + 4*q + 28 = 0, -38*k - q = -41*k + 9. What is the nearest to 9 in k, -18, -3/7? k Let t = 12657.92 + -12658. Which is the closest to 3/5? (a) -1/5 (b) -28 (c) t (d) 2 c Let z = -35596 + 35558. Which is the closest to 0.014? (a) 0 (b) z (c) 1 a Let p = 45 + -39. Let r be (-22)/(-99)*p/(-2). Let f = -19 + 20.3. What is the nearest to 1/3 in f, r, 2/5? 2/5 Let i = -0.06616 - 3.93384. Which is the closest to 1? (a) i (b) 0.36 (c) -0.5 b Let d = -495618 + 495618.3. Let f = 4.6 - 9.3. Let t = f - -5. Which is the nearest to d? (a) 2 (b) t (c) -4 b Let g be (108/126)/(7 + 350/(-49)). Suppose 3*o = -o + 4. What is the closest to g in -1/5, o, 0? -1/5 Suppose -5*k - 2*w - 176 = 0, k + 1 + 48 = -5*w. Which is the closest to 0.1? (a) 2/5 (b) k (c) 5 (d) 4 a Let p = -10.6 + 10.4. Let d = 4.1 + -3.4. Let r = 1 - d. Which is the closest to 1? (a) p (b) 1/8 (c) r c Suppose -3*u + 3*m - 4 = 2*u, -3*u + 4*m - 9 = 0. Let x be u*(51/189 - 10/45). Let y be (5/1)/35*(1 + 1). Which is the closest to -1/2? (a) x (b) -2/5 (c) y b Let l = 28.84 + -28. Let g = l + -0.34. Let s = 2.6 + -2.8. What is the nearest to s in g, 4, -2/15? -2/15 Let u = 45055 + -45050. Let x be (-16)/6 + 0 + 3. Which is the closest to x? (a) -2/9 (b) -2/7 (c) u a Let y = -5.28 + 5.1. Let q be 2/4 - 140/(-40). Which is the nearest to y? (a) q (b) -2 (c) 3/4 (d) 0.5 d Let k = 0.009 + 7.991. Let m be 15/9*12/60. What is the closest to m in -10/3, 2, k? 2 Let z = 10072/135243 - 2/5009. Which is the closest to -2/3? (a) 3 (b) 0.1 (c) -1/20 (d) z c Let h(g) = -2*g + 7. Let u be h(5). Let w be ((-2)/u)/2*1. Let x = -2455/4 - -26997/44. Which is the nearest to -1? (a) w (b) -0.5 (c) x b Suppose 0 = -0*p - 4*p - 28. Let v be 2/p + 6/21. Let d = -413 + 416. What is the nearest to d in -2, v, -5? v Suppose 15 = 5*g - 2*r, -2*g + 4*r + 9 = 3. What is the closest to 1/5 in 0, 1, g, 2/13? 2/13 Let i = 1149 - 14947/13. What is the closest to i in -2/7, 4, 0.2? -2/7 Let y(m) = m**2 + 9*m + 25. Let s be y(-4). Let o be (6/(-28))/(7 - 93/12). Which is the closest to o? (a) 4/3 (b) s (c) 1 c Let d be 1/(-11) + (-69)/(-33). Suppose 0 = -z + s - 4 + 5, -5*z - d*s = 9. Let b = 30/17 + -424/221. What is the closest to z in b, 1/2, 3? b Let u = 4 - 3. Let t = -726 - -691.1. Let r = -32.9 - t. What is the nearest to r in u, -2/5, -2/9? u Let l be (20/650*-10)/(130/13). Let c = -3 - 1. What is the nearest to 1 in c, l, -0.3? l Let f = 1.6686 - 2.0686. Which is the closest to f? (a) 7 (b) 2/11 (c) -0.5 c Let s = 7862 + -7874. Which is the nearest to s? (a) -1/4 (b) -1 (c) 6 b Let v = -1034 + 1033.438. Let n = v - -0.562. What is the closest to n in 1, -0.09, 5? -0.09 Let f(w) = -10*w - 50. Let g be f(-14). Let u be ((-8)/g)/((-4)/(-10)). What is the closest to -3 in u, 0.1, 5? u Let t(m) be the second derivative of -m**5/20 - m**4/4 + 5*m**3/3 + 5*m**2/2 + 124*m + 2. Let f be t(-5). What is the closest to -0.1 in -1, f, -5? -1 Let o be 1203/(-240) + 1 - -4. Let k = o + -19/80. Suppose -d - 5*h + 0 = -3, 5*h - 13 = 4*d. What is the nearest to k in d, -1/5, -3? -1/5 Let r(m) = -2*m + 9. Let l be r(9). Let y be 6/(-8)*(-8)/l. Let v be -2*(-3)/8 - 1. What is the nearest to v in 0.013, y, 2? 0.013 Let c = 349/9 - 39. What is the closest to 1/2 in c, 1/6, -11, 0? 1/6 Let n = 2.331 + 15.669. Which is the nearest to 1/11? (a) 0.3 (b) -2/17 (c) -3 (d) n b Suppose j - 263*j = -21*j + 723. Let k
{ "pile_set_name": "DM Mathematics" }
base 8, what is 2243522 - 2? 2243520 In base 14, what is d180 + -1? d17d In base 5, what is -41003 + -11? -41014 In base 10, what is -18939 + -249? -19188 In base 8, what is 153153 - 4? 153147 In base 11, what is -1227 + 26? -1201 In base 13, what is -1c1 + 25b8? 23c7 In base 4, what is 20132 + 1130? 21322 In base 16, what is -428 + 1? -427 In base 4, what is -3123 - -21313? 12130 In base 3, what is 11212120 + 11011? 12000201 In base 3, what is -10 - -2201112? 2201102 In base 16, what is -36e + -3c7? -735 In base 4, what is -113 - -300310? 300131 In base 7, what is -253543 + -50? -253623 In base 12, what is -3189 - 8? -3195 In base 2, what is -100000011 - -1011110? -10100101 In base 7, what is -104556 - 3? -104562 In base 4, what is -22101232 - 300? -22102132 In base 16, what is -3b4 - 4? -3b8 In base 16, what is -69d - -3b? -662 In base 10, what is 232 - 31? 201 In base 6, what is 1510 + 1112? 3022 In base 6, what is -125444 + -331? -130215 In base 7, what is -15 - -316616? 316601 In base 3, what is -10000122 + 22220? -2200202 In base 13, what is 405 - 7? 3cb In base 4, what is -3020 + 13203? 10123 In base 8, what is 0 - -7357? 7357 In base 4, what is 202300222 + -12? 202300210 In base 4, what is -12131 - 20201? -32332 In base 10, what is 13715 + -4? 13711 In base 4, what is -21003 - -21130? 121 In base 5, what is 44000 + -2010? 41440 In base 16, what is -30ae1 + 3? -30ade In base 9, what is 0 - 170706? -170706 In base 9, what is 7 + -3303? -3285 In base 3, what is 1222112201010 + 0? 1222112201010 In base 14, what is -1c6 + -112? -2d8 In base 8, what is 561 - 16236? -15455 In base 14, what is 20336 - 1? 20335 In base 5, what is 1 - 234414402? -234414401 In base 7, what is -5102151 + 4? -5102144 In base 13, what is -1 - -72998? 72997 In base 8, what is -3243 + -120? -3363 In base 9, what is -110 - -160? 50 In base 10, what is -9855 - 4? -9859 In base 14, what is -24 + -33? -57 In base 16, what is 1e + 283? 2a1 In base 5, what is -32143 + 4? -32134 In base 9, what is 3 - 2264? -2261 In base 5, what is 11 + 12042134? 12042200 In base 10, what is -4 + -410698? -410702 In base 12, what is -ba71 - -2? -ba6b In base 5, what is 1021 + -1043? -22 In base 7, what is 6 - 22543? -22534 In base 8, what is 1 - 1321606? -1321605 In base 2, what is 101 - -10111110011000110? 10111110011001011 In base 13, what is -88a + 24? -866 In base 2, what is 100100110000 + -101011? 100100000101 In base 16, what is -3485c + 3? -34859 In base 16, what is -3 + 5c39? 5c36 In base 16, what is 24db - 7? 24d4 In base 13, what is -40b1c1 - -2? -40b1bc In base 3, what is -1012112 - -1210? -1010202 In base 2, what is 111011000 - -1001100? 1000100100 In base 8, what is -6770 - 17? -7007 In base 16, what is a + 2724? 272e In base 2, what is 1000101001110001 + 101? 1000101001110110 In base 5, what is -1420 - -110134? 103214 In base 15, what is -5 - bc25? -bc2a In base 15, what is 0 + -49e? -49e In base 14, what is -bc60 + 2a? -bc34 In base 4, what is 31013332 + 100? 31020032 In base 16, what is 9744 + 2? 9746 In base 10, what is 3 - 1582? -1579 In base 2, what is 101101010011 + 1010101101? 111000000000 In base 15, what is -b - 1211? -121c In base 2, what is -101 - 10111110101100? -10111110110001 In base 7, what is 154441 - 5? 154433 In base 6, what is 111 + -21405? -21254 In base 14, what is b79 - 1? b78 In base 5, what is 0 - 1214023? -1214023 In base 2, what is -11110 - -1110101110010? 1110101010100 In base 11, what is -47 - -711? 675 In base 14, what is 24cb + -13? 24b8 In base 7, what is 10435 - 122? 10313 In base 14, what is 0 - -28035? 28035 In base 3, what is -122100 - 20011? -212111 In base 12, what is -70 - -5778? 5708 In base 5, what is -13 - -130010? 124442 In base 12, what is -17 - -266b1? 26696 In base 10, what is 6 + -102? -96 In base 16, what is 9aa - -2e? 9d8 In base 5, what is -11 + -1102130? -1102141 In base 12, what is -3132 + -13? -3145 In base 3, what is -10 + 110000200? 110000120 In base 4, what is 11 + 1002132111? 1002132122 In base 14, what is -4 - -dd1? dcb In base 4, what is -11 + 1131302? 1131231 In base 4, what is 11 - -100102123? 100102200 In base 13, what is c - 806b? -805c In base 15, what is -2 - a5b? -a5d In base 16, what is 280b - 1? 280a In base 15, what is 2aba5 + 1? 2aba6 In base 13, what is -10 - a7c17? -a7c27 In base 9, what is 5 + 233357? 233363 In base 9, what is 12002 + 7? 12010 In base 5, what is -2113231 + 11? -2113220 In base 7, what is -254 + -436? -1023 In base 11, what is 275a67 + 2? 275a69 In base 12, what is 1137 - -1? 1138 In base 15, what is 143d - 1db? 1252 In base 9, what is 286100 + 3? 286103 In base 12, what is -4 - -132125? 132121 In base 13, what is -8 + 11a05? 119ca In base 15, what is -c1bd - 5? -c1c3 In base 2, what is -11011010110001101 - -11? -11011010110001010 In base 14, what is 4 + -613? -60d In base 13, what is -25423 + 6? -2541a In base 3, what is 11 + -211120121? -211120110 In base 14, what is -284cb + -5? -284d2 In base 5, what is -202 - 10041311? -10042013 In base 8, what is 1 - -276425? 276426 In base 10, what is -2 + 25283? 25281 In base 8, what is -7 - -5572? 5563 In base 5, what is 13112 + 1121? 14233 In base 10, what is -1741 - -23? -1718 In base 14, what is 2aac + 1d? 2acb In base 3, what is -10 - 121022202? -121022212 In base 7, what is 312315 - -5? 312323 In base 16, what is -1da - 2ad9? -2cb3 In base 10, what is -5 + -82762? -82767 In base 12, what is 1b8 + 769? 965 In base 16, what is 1ba + 320? 4da In base 4, what is -131232 + -1212? -133110 In base 4, what is 313320011 + -2? 313320003 In base 4, what is -2 + 310313123? 310313121 In base 7, what is -5342326 - 1? -5342330 In base 5, what is -40 - -2143110? 2143020 In base 5, what is 3024 + -3321? -242 In base 10, what is 1606 + 16? 1622 In base 6, what is -1153423 + 121? -1153302 In base 16, what is 1c2 - -5e? 220 In base 9, what is -48 - 2424? -2473 In base 8, what is 107 - 137? -30 In base 15, what is -2 - -4017? 4015 In base 10, what is 3624 - -15? 3639 In base 14, what is 3 + -1cd8? -1cd5 In base 5, what is 143 + 3433111? 3433304 In base 7, what is -4152233 + 14? -4152216 In base 2, what is 110101000000 + -1011? 110100110101 In base 8, what is -531511 - 5? -531516 In base 2, what is -100100111001 + -10000? -100101001001 In base 13, what is -3 - 95? -98 In base 4, what is 10 + -202230311? -202230301 In base 13, what is 0 - 4a89? -4a89 In base 12, what is -1 - 3159? -315a In base 6, what is 11 + 50245? 50300 In base 3, what is 12222020 - 1201? 12220112 In base 4, what is -12300 - -10010? -2230 In base 2, what is -100 + 11010011100100010? 11010011100011110 In base 5, what is -234204120 - 3? -234204123 In base 6, what is 2032 + -451? 1141 In base 5, what is -10433 + 11214? 231 In base 15, what is -32d + -90? -3bd In base 11, what is 4 - -113180? 113184 In base 5, what is 21123224 - 2? 21123222 In base 2, what is 101 + -10000000111001? -10000000110100 In base 6, what is 23 + -445? -422 In base 7, what is 653 - 13116? -12133 In base 10, what is 13838 - 5? 13833 In base 12, what is 116a0 + 2? 116a2 In base 8, what is 5 - 31011? -31004 In base 3, what is 2011120002 - 10? 2011112222 In base 2, what is -101 + 111110110101110010? 111110110101101101 In base 16, what is -29b78a + 4? -29b786 In base 4, what is 100 - 30321202? -30321102 In base 11, what is 2224 - -6? 222a In base 5, what is 2442241 - -4? 2442300 In base 14, what is 1ac4 + 1? 1ac5 In base 13, what is -46252 - -4? -4624b In base 7, what is -21532 - -336? -21163 In base 4, what is 3223010 - -11? 3223021 In base 11, what is 3 - -15848? 15850 In base 10, what is -2 + -202976? -202978 In base 13, what is a5 - 11? 94 In base 16, what is -1 - 3f92c? -3f92d In base 8, what is -15177 + 0? -15177 In base 15, what is -18d + -839? -9c7 In base 15, what is -156ae + 4? -156aa In base 13, what is -2 - 1637? -1639 In base 16, what is -3 - 15bf? -15c2 In base 8, what is -162411 - -26? -162363 In base 11, what is 3 - -1aaa? 2002 In base 4, what is 233 - -1312232? 1313131 In base 2, what is 11001011011010011100 - -11? 11001011011010011111 In base 15, what is 367 - -364? 6cb In base 15, what is 1d72 + 33? 1da5 In base 10, what is -4 + 10139? 10135 In base 9, what is -522 + -44? -566 In base 3, what is -21012 + -22
{ "pile_set_name": "DM Mathematics" }
q - 3. Let x(y) = y**3 - 3*y**2 + 4*y - 2. Let j be x(3). Suppose 5*c = -j - 65. Let w be (-4)/16 - c/(-4). What is o(w)? -7 Let f(s) be the first derivative of s**3/3 - 1. Let h(t) = -t**2 - 8*t + 13. Let v be h(-10). Let r = v + 8. Determine f(r). 1 Let r be (-7)/(-2) + (-12)/24. Let v(t) = -t - 9*t**3 + 0*t + 1 + 3*t**2 + t**2 - r*t**2. Give v(1). -8 Let x(p) = -11*p**3 + 6*p**2 - 2*p + 1. Let i(d) = 2*d**3 + d. Let l(m) = 6*i(m) + x(m). Determine l(-6). -23 Let b(k) = -2*k + 10. Suppose -5*c = -2*c + 3, 4*f + 2*c = 30. Give b(f). -6 Suppose -5*u + 16 = -w, -2*u - 3*u + 8 = -3*w. Let x(d) = 6 + w*d + 0*d + 2*d - 3*d. What is x(-5)? -9 Suppose -11 + 1 = 2*l. Let k(u) be the second derivative of -u**4/12 - 2*u**3/3 - u**2/2 + 7*u + 9. Give k(l). -6 Let w(h) be the third derivative of -h**5/12 + 205*h**2. Let s(c) = c**3 + 3*c**2 + 2*c + 4. Let o be s(-3). What is w(o)? -20 Let v be (-4 - -30)*(-2)/(-4) + 2. Suppose 7*g - v - 13 = 0. Let q(a) = a**3 - 2*a**2 - 7*a + 6. Determine q(g). 10 Let l(v) = 7*v - 19. Let u(f) = 13*f - 38. Let t(w) = 5*l(w) - 3*u(w). What is t(9)? -17 Let w = 2 + 0. Let g(v) = 2*v**3 + 6 + 5*v**w - v**3 - 9*v**2 - 3*v. Let k be -6*(-2)/3 - 0. What is g(k)? -6 Let k be -3*(10/3 - 4). Let g(p) = -21 + 12 - 4*p**2 - 2*p**k - 3*p - p**3. Calculate g(-6). 9 Let u(d) = 293 - 296 - 6*d - d**2 - 6*d. What is u(-5)? 32 Let t(j) = -j - 2. Let l(k) = k**3 + 3*k**2 - 5*k - 4. Let w be l(-4). Suppose -2*s - 3*b + 0 + 12 = w, -2 = -b. Suppose -s = 5*u - 6*u. Give t(u). -5 Let b(k) = 2 + k + k**2 + k - 5*k. Let q be 3/2*1*-2. Let g be (-14)/(-6) + q/9. What is b(g)? 0 Let z(d) = d**3 - 11*d**2 + 11*d + 18. Let c(p) = -2*p**3 + 22*p**2 - 21*p - 40. Let q(t) = 4*c(t) + 7*z(t). Give q(10). -4 Suppose -10 = 4*a - 2. Let s(z) = 4*z**2 - 2*z - 8. Let u(g) = -5*g**2 + 2*g + 10. Let q(i) = -4*s(i) - 3*u(i). Calculate q(a). -6 Let y(o) be the third derivative of -11*o**6/40 + 13*o**4/24 - 5*o**3/6 - 9*o**2. Let l(w) = -8*w**3 + 3*w - 1. Let z(g) = -9*l(g) + 2*y(g). Give z(-1). -6 Let x(j) = 4*j - 160 + j**2 + j + 161. Suppose -4*s + c = 19, 0 = -3*s + 5*s + 5*c + 37. Determine x(s). 7 Let q(c) = -c**2 - 1. Suppose 11*b + 1430 = -2*b. Let t = b - -115. Give q(t). -26 Let a(z) = -3*z**3 + 3*z**2 + 2*z + 13. Let t(b) = -b**3 + b**2 + b + 7. Let p(f) = a(f) - 2*t(f). Let y = 4 + -2. Give p(y). -5 Suppose -4*c + 3*a + 24 = 4*a, 3*a = 0. Let n be 2/(-4) - (-27)/c. Let u(m) = 3*m + 6*m - m - 6*m + 4. Determine u(n). 12 Let x(j) = j**3 - 2*j**2 + 4*j - 3. Suppose o - 2*v = 8, -556*o + 18 = -553*o - 4*v. Determine x(o). 5 Suppose 36*k = 77*k + 246. Let n(p) = -p**2 - 9*p - 2. Give n(k). 16 Suppose -8*b + 14 = 3*v, b + 3*v = 5*v - 3. Let p(k) = -21*k**3 + k**2. Determine p(b). -20 Let z(o) = -9*o. Suppose 86*s + 44 = 64*s. What is z(s)? 18 Let m(h) be the second derivative of h**4/12 + 5*h**2/2 + 2*h. Suppose -81*y - 71 = -71. Determine m(y). 5 Let w(x) be the second derivative of -x**3/3 - 5*x**2 - 7*x + 3. Calculate w(-13). 16 Let k(y) = 4*y**2 - y**2 - 5*y**2 - 6 + 2*y - 25*y + 4*y**2. What is k(12)? 6 Let l(i) = 2*i + 5. Suppose 3*h = 5*q - 61, q = -q - 4*h + 14. Suppose -3*y + 2*c = q, -3*y - 4*c = -0*y + 23. Determine l(y). -5 Let d(v) = 132 - 69 - v - 56. Let o = -8 + 15. What is d(o)? 0 Let q(c) = 2*c**2 + 7*c. Let m = -16 + 21. Suppose h - 20 = m*h. Determine q(h). 15 Let c(r) = 10*r + 4. Let g(o) = 50*o + 22. Let f(u) = -11*c(u) + 2*g(u). Calculate f(2). -20 Let i(t) = 286*t - 71*t + 2 - 67*t - 71*t - 76*t. Let c(f) = f**3 - 7*f**2 + 8*f - 6. Let k be c(6). Suppose 0 = -3*u + j - 4, 3*u + 3*j = -6 - k. What is i(u)? 0 Suppose -3*c - 10 = 2. Let t(y) = 2 - y - 11*y**2 - 4*y**3 + 6*y**2 + 3*y**3. Let o(m) = m**3 + 5*m**2 + 2*m - 2. Let g(l) = 3*o(l) + 2*t(l). What is g(c)? -2 Let u(k) = -9 - k**2 + 32 - 6*k - 26. Suppose -z + 3 - 8 = 0. What is u(z)? 2 Let u(t) = t + 3. Let h be u(0). Suppose 27 = h*f - 12. Suppose -13 = p - 2*i, 3*i + f = -8*p + 3*p. Let l(m) = m**3 + 5*m**2 - 1. Give l(p). -1 Let w(o) be the first derivative of 1/3*o**3 + 9*o + 1/12*o**4 - 10 + 1/2*o**2. Let h(d) be the first derivative of w(d). Calculate h(-3). 4 Let a be 2/(3 - (-235)/(-80)). Suppose 2*z + 4 = 2*g, 8*z - a = -4*g + 4*z. Let s(j) = 4*j - 3. Determine s(g). 17 Let v(p) = -1 - 5*p**2 + 1 + p**3 + 1 + 3*p. Suppose 2*n - z + 5*z = 8, 4*n + 2*z = 16. Determine v(n). -3 Let g(n) = n**2 + 4*n + 9. Let f be g(-3). Let p be 40/f - (-31)/93. Let z(y) = y**3 - 6*y**2 - 7*y + 6. Give z(p). 6 Let u(v) = 11 + 4*v - 3*v - 1 - 7. Give u(-11). -8 Let o = 5 + -4. Let g(b) = -13*b - 11 + o - b**2 + 13*b - 11*b. Give g(-9). 8 Let b(k) be the second derivative of -k**4/12 + 7*k**3/6 - 5*k**2/2 - 54*k. Let o be 0 - (-5)/((-10)/(-4)). Suppose r - 12 = -o*r. Determine b(r). 7 Let u(x) = 5*x**3 + 31*x**2 + 47*x + 36. Let j(r) = -3*r**3 - 21*r**2 - 31*r - 24. Let a(p) = -8*j(p) - 5*u(p). What is a(14)? -2 Let c = 18 + -52. Let r = 29 + c. Let o(x) = -x**3 - 6*x**2 - 6*x + 5. Determine o(r). 10 Let n(h) be the third derivative of -h**6/120 - h**5/20 - h**4/6 - h**3/3 + 19*h**2. What is n(-3)? 10 Let x(b) = b**3 + 12*b**2 - b - 9. Let g be x(-12). Suppose -4*l = -3*a - 12, -l - 4*a + 0*a = -g. Let m(t) = 2*t + 4 - t**3 + 1 - l - 3*t**2. Determine m(-3). -4 Let i(m) = -4*m**2 - 2*m - 8. Let s(y) = -5*y**2 - 3*y - 9. Let t(z) = 4*i(z) - 3*s(z). Calculate t(0). -5 Let d be (2/(-96)*-9*-2)/(-3). Let v(m) be the third derivative of -d*m**4 + 0 + 0*m**3 - 1/30*m**5 - 3*m**2 + 0*m. What is v(-2)? -2 Let m(b) = 9*b - 3. Let z(w) = 4*w - 2. Let x(n) = 3*m(n) - 7*z(n). Suppose 9*i - 5*i - 124 = 0. Suppose -3*v + 13 = i. Give x(v). 11 Let o(a) be the second derivative of -a**3 + a**2 + 18*a - 1. Let n = -4 + 2. Calculate o(n). 14 Suppose -37*g + 35*g = 6. Let l(b) be the second derivative of b**4/12 + 5*b**3/6 + b**2 + 12*b. Calculate l(g). -4 Let i(u) = -u**2 - 4*u + 16. Let s be i(-5). Let g = -15 - -9. Let q = g + s. Let a(p) = -p**3 + 5*p**2 - p - 3. What is a(q)? -8 Suppose d + 27*b - 30*b + 11 = 0, -5*d = -4*b. Let k(g) = 2*g - 8. Determine k(d). 0 Let g(s) = s**2 + 12*s + 40. Let i be g(-6). Let v(u) = -7*u - 5*u**2 + 0*u**3 + 13*u - 2 + u**3 - 3*u. Determine v(i). -6 Suppose 0 = -12*r + 53 - 5. Let d(t) = t - 2. Let s be d(7). Suppose 7*x + s*h = r*x + 18, -4*h = -12. Let y(z) = -z**2 - 2*z + 1. Calculate y(x). -2 Suppose 0 = 5*g - a - 14, -7*g - a = -2*g - 16. Let m(h) = 213*h + 2 - h**2 + 186*h - 394*h. What is m(g)? 8 Let q(t) be the first derivative of t**4/4 + 8*t**3/3 + 13*t**2/2 + 12*t + 179. Determine q(-6). 6 Let j(h) be the second derivative of h**5/20 + 4*h**4/3 - h**3/3 - 12*h**2 - 43*h. Give j(-16). 8 Suppose f = 94 - 95. Let a(s) be the second derivative of s**4/3 - s**3/6 + 4*s. Give a(f). 5 Let m(g) = g**2 - 3*g**2 + 11407 - 5*g - 11412 + 3*g**2. Give m(3). -11 Let s(t) = -2*t + 27. Let x be s(12). Suppose 30 = -0*u + 3*u + 5*n, 4*n = 12. Let r(v) = u*v + 1 - x*v - 4*v. Give r(3). -5 Suppose -p - 2*d = 1, -3*p = -2*d - 2 - 3. Let h(f) = p + 2*f - f + 3 - 2*f. Let j be (-17)/(-85) - 1/5. What is h(j)? 4 Let i(u) be the third derivative of -u**6/120 - u**5/20 - u**4/24 - u**3/2 + 86*u**2. Let h = 9 + -12. Give i(h). 0 Suppose 0 = 4*j - k - 122, -4*k - 8 = 3*j - 90. Suppose -4*a = -5*u - j, 4*u = -2*a + 1 + 1. Let w(r) = r**3 - 5*r**2 - 2*r + 4. What is w(a)? -6 Let b(u) = -4*u + 9. Let k(n) = -4*n + 9. Let w(d) = 4*b(d) - 3*k(d). Give w(8). -23 Let i(p) = 6*p**3 - p**2 - 3*p + 2. Let j be i(1). Let o(d) = 4*d - 1. Calculate o(j). 15 Let c(s) = 5*s - 2. Let d(i) = i**3 - 10*i**2 - 10*i - 10. Let o be d(11). Calculate c(o). 3 Let y(v) = v**2 - 3*v - 10. Suppose -27*g + 40*g + 26 = 0. Calculate y(g). 0 Suppose 4*l + 14 = 2*q, 4*q - 2*l - 1 + 3 = 0. Let c(t) be the second derivative of -1/6*t**3 - 1/6*t**4 + 2*t**2 + 5*t + 0. Determine c(q). -11 Let d(r) be the first derivative of 0*r**2 + 4*r - 6 - 1/3*r**3. Determine d(3). -5 Let j(t) = 14*t + 11. Let k(f) = 5*f + 4. Let z(a) = -4*j(a) + 11*k(a). Give z(-1). 1 Let h be 0 - (0 + -5) - (-6)/(-2). Let q(f) = -f**h + 10*f - f - 4*f - 13*f. Determine q(-6). 12 Let j(l) = -1 + 3*l**2 + 6*l**2 + 0 + 2 - 2. Determine j(2). 35 Let i(f) be the third derivative of f**6/720 + f**5/60 + 29*f**4/24 - 5*f**2. Let t(c) be the second deriv
{ "pile_set_name": "DM Mathematics" }
from {d: 2, a: 2, s: 8, o: 7}? 14/171 Calculate prob of picking 1 o, 1 h, and 1 d when three letters picked without replacement from hduhwouuud. 1/30 Three letters picked without replacement from eeoeeeoeoeeeeeeeeoeo. What is prob of picking 1 e and 2 o? 5/38 Two letters picked without replacement from seezeszstzeeewteeez. Give prob of picking 1 t and 1 w. 2/171 Four letters picked without replacement from {w: 2, a: 3, p: 1, i: 4}. What is prob of picking 1 w, 1 i, and 2 a? 4/35 What is prob of picking 1 t and 1 d when two letters picked without replacement from {t: 1, m: 2, d: 1, n: 2}? 1/15 Three letters picked without replacement from yryratmramem. What is prob of picking 1 t and 2 m? 3/220 What is prob of picking 3 z when three letters picked without replacement from {h: 6, z: 5, q: 4}? 2/91 Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkk. 1 Four letters picked without replacement from sosssosovsoovooovov. Give prob of picking 3 o and 1 s. 42/323 Three letters picked without replacement from bbbqqbqbqbqbbqe. What is prob of picking 1 b and 2 q? 24/91 Four letters picked without replacement from {r: 2, i: 7}. What is prob of picking 2 r and 2 i? 1/6 Four letters picked without replacement from {z: 6}. What is prob of picking 4 z? 1 What is prob of picking 1 k and 2 l when three letters picked without replacement from {l: 5, j: 4, k: 10}? 100/969 Four letters picked without replacement from {a: 12, y: 3}. Give prob of picking 3 a and 1 y. 44/91 Three letters picked without replacement from {w: 6, a: 2, t: 5, y: 1, v: 1}. What is prob of picking 1 y and 2 t? 2/91 Calculate prob of picking 2 e and 2 v when four letters picked without replacement from hvvhvbhbbvbvnvbbeev. 7/1292 Calculate prob of picking 2 n and 1 e when three letters picked without replacement from pecnnnynenpyo. 10/143 Two letters picked without replacement from {e: 1, o: 7}. What is prob of picking 1 e and 1 o? 1/4 What is prob of picking 2 q and 1 v when three letters picked without replacement from {q: 3, v: 9}? 27/220 Calculate prob of picking 1 o, 1 l, and 1 r when three letters picked without replacement from {e: 1, l: 2, r: 1, f: 2, o: 1, h: 1}. 1/28 Two letters picked without replacement from tyueyfyyuuyefu. What is prob of picking 1 y and 1 u? 20/91 Two letters picked without replacement from {b: 11, c: 2}. Give prob of picking 2 c. 1/78 What is prob of picking 1 z, 1 k, and 2 d when four letters picked without replacement from aazddaak? 1/70 What is prob of picking 1 x and 2 y when three letters picked without replacement from {e: 1, y: 3, s: 1, x: 2}? 6/35 Two letters picked without replacement from {i: 8, e: 2}. What is prob of picking 2 i? 28/45 Four letters picked without replacement from uejueukuumuuuukuuk. What is prob of picking 1 m, 1 j, 1 u, and 1 k? 11/1020 Three letters picked without replacement from kkgsggkgkkgsk. What is prob of picking 1 k and 2 s? 3/143 What is prob of picking 1 n, 1 r, and 1 f when three letters picked without replacement from {f: 2, r: 4, l: 1, m: 7, n: 2, q: 1}? 2/85 Two letters picked without replacement from {y: 3, x: 1, d: 2, v: 3, n: 1, z: 1}. Give prob of picking 1 d and 1 v. 6/55 What is prob of picking 1 b, 1 o, and 1 x when three letters picked without replacement from {q: 1, x: 1, g: 1, b: 1, o: 3}? 3/35 Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {e: 3, s: 8, a: 7}. 56/153 Calculate prob of picking 1 o and 1 y when two letters picked without replacement from oyeoyeyeayeyyytyeegg. 8/95 What is prob of picking 1 n and 1 m when two letters picked without replacement from ynnyyyyymmyvuy? 4/91 Calculate prob of picking 3 z and 1 l when four letters picked without replacement from oqoozolllzltotzool. 1/612 What is prob of picking 2 f when two letters picked without replacement from zzfgragfbrgbfag? 1/35 What is prob of picking 3 m when three letters picked without replacement from {m: 14, i: 4}? 91/204 Two letters picked without replacement from {v: 6, s: 7, l: 1, j: 6}. Give prob of picking 2 s. 21/190 Four letters picked without replacement from {w: 3, v: 2}. What is prob of picking 2 w and 2 v? 3/5 Calculate prob of picking 1 w and 3 m when four letters picked without replacement from {l: 5, m: 4, w: 1}. 2/105 Four letters picked without replacement from {s: 4, f: 1, w: 1, a: 4, j: 1}. What is prob of picking 1 a, 1 w, 1 f, and 1 j? 2/165 Three letters picked without replacement from lggmlgiqmilmlcqlcgm. What is prob of picking 2 c and 1 q? 2/969 What is prob of picking 1 k and 1 z when two letters picked without replacement from ttztbtxbkktzkbt? 2/35 What is prob of picking 2 f and 1 d when three letters picked without replacement from dfffffffffff? 1/4 Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vzvwvvjvezwvzwj. 18/455 Calculate prob of picking 2 y when two letters picked without replacement from {v: 1, y: 11, q: 3, e: 4}. 55/171 Three letters picked without replacement from {i: 3, d: 7, y: 3, j: 1}. Give prob of picking 1 d and 2 i. 3/52 What is prob of picking 1 j and 1 u when two letters picked without replacement from jjuuuj? 3/5 Four letters picked without replacement from yhyrbde. What is prob of picking 2 r and 2 h? 0 Three letters picked without replacement from {q: 4, e: 7}. Give prob of picking 1 e and 2 q. 14/55 What is prob of picking 2 l when two letters picked without replacement from {l: 3, c: 2}? 3/10 Calculate prob of picking 2 q and 1 l when three letters picked without replacement from lllllqqqqldqdql. 3/13 Four letters picked without replacement from {h: 13, y: 3, g: 2}. Give prob of picking 3 h and 1 y. 143/510 Two letters picked without replacement from {h: 7, m: 2, n: 3}. Give prob of picking 2 m. 1/66 What is prob of picking 3 v when three letters picked without replacement from gvggvgvgvvvgv? 35/286 Calculate prob of picking 1 x and 2 y when three letters picked without replacement from xqegnnyeeeeyy. 3/286 Calculate prob of picking 2 u and 2 w when four letters picked without replacement from pruwrrpur. 0 What is prob of picking 2 a when two letters picked without replacement from babzjnzaabbaji? 6/91 Calculate prob of picking 2 v when two letters picked without replacement from {q: 8, w: 2, v: 2, j: 6}. 1/153 Calculate prob of picking 1 l and 1 s when two letters picked without replacement from affslilarala. 1/22 Three letters picked without replacement from yyccqycycc. What is prob of picking 3 y? 1/30 What is prob of picking 1 a, 1 e, and 1 j when three letters picked without replacement from ejqttjjvttva? 3/220 Four letters picked without replacement from {x: 4, i: 6, b: 1, v: 3}. Give prob of picking 1 v and 3 i. 60/1001 Four letters picked without replacement from vvacacvafvfvvfavvvv. Give prob of picking 2 c and 2 f. 1/1292 Four letters picked without replacement from {c: 10, f: 9}. What is prob of picking 4 f? 21/646 Four letters picked without replacement from onanaloaoafponaa. What is prob of picking 2 n, 1 o, and 1 l? 3/455 Three letters picked without replacement from gngggnn. Give prob of picking 2 n and 1 g. 12/35 Four letters picked without replacement from zxmzzmmzzm. Give prob of picking 3 z and 1 m. 4/21 What is prob of picking 2 y and 1 m when three letters picked without replacement from hyymmymyyv? 1/4 Two letters picked without replacement from {h: 1, m: 1, s: 1, q: 2}. What is prob of picking 1 m and 1 h? 1/10 Four letters picked without replacement from {w: 1, u: 5, h: 3}. Give prob of picking 1 w, 1 u, and 2 h. 5/42 Four letters picked without replacement from {x: 2, e: 3, p: 5}. What is prob of picking 2 x, 1 p, and 1 e? 1/14 Four letters picked without replacement from {p: 3, l: 5, a: 5}. What is prob of picking 1 l and 3 a? 10/143 What is prob of picking 1 y, 1 p, 1 d, and 1 b when four letters picked without replacement from pdppyppbyypdbbb? 48/455 Calculate prob of picking 2 a and 1 u when three letters picked without replacement from uabbbuuab. 1/28 Three letters picked without replacement from {t: 7}. Give prob of picking 3 t. 1 Two letters picked without replacement from {o: 1, b: 1, a: 2, f: 1, w: 1, j: 1}. What is prob of pickin
{ "pile_set_name": "DM Mathematics" }
0.1? (a) -1 (b) -533 (c) -5 (d) 4/7 d Which is the closest to 3? (a) 6 (b) -0.05 (c) 1 c What is the closest to -3/2 in 5, -3, -1/4, 0.5? -1/4 Which is the closest to -0.1? (a) -4 (b) 0.4 (c) -130 b What is the closest to 1 in -4, 70/13, 1? 1 Which is the closest to 0? (a) 0.2 (b) 1 (c) 2 (d) 3 a What is the closest to -3/4 in -1/5, -5/3, -7, 51? -1/5 Which is the nearest to -1? (a) 2/3 (b) 1 (c) 509 a What is the closest to -0.3 in -10, 1/3, 20? 1/3 Which is the closest to -1/7? (a) -8 (b) -2/11 (c) 3 b Which is the nearest to 0.1? (a) 0.02 (b) 4 (c) 2 (d) -1/5 a Which is the nearest to 0? (a) 0.5 (b) -5 (c) -3 (d) 0.05 d Which is the closest to -1/4? (a) -0.3 (b) 8/3 (c) -3 (d) -1/4 d Which is the closest to 44? (a) 5 (b) -2/15 (c) 4 (d) 3/4 a What is the nearest to -1 in -5, -0.2, 0, -1.5? -1.5 Which is the closest to 0? (a) -4/7 (b) -1/2 (c) 0.439 c What is the closest to -0.1 in -1, -1/5, -4/7? -1/5 Which is the closest to -0.1? (a) 3 (b) -0.4 (c) 0.1 (d) 1.3 c What is the closest to 1/2 in 1, 3/7, 0.5, 15? 0.5 Which is the closest to -0.08? (a) -5 (b) 2/7 (c) 1/2 b Which is the closest to 0.12? (a) 3/20 (b) 0 (c) 0.1 (d) 1/4 c What is the nearest to 2/3 in 0.001, -0.3, -0.1? 0.001 What is the nearest to 1 in 18, -5, -2/5, 0.1? 0.1 What is the closest to -1 in -13/3, 4, -1, 2/5? -1 Which is the nearest to -57? (a) -4/5 (b) -2 (c) -0.3 (d) 3 b What is the closest to 1 in -0.02, -4, 31/6? -0.02 What is the nearest to -1/7 in -7, 120, 0.4? 0.4 What is the nearest to 2/5 in 0.3, -1/4, 2? 0.3 Which is the nearest to 2/11? (a) -0.2 (b) 1/4 (c) -4 (d) -0.1 b Which is the nearest to -1? (a) 2 (b) 16/9 (c) 1/3 (d) 1/8 d What is the closest to -1/4 in -0.3, -620/3, 1/6? -0.3 Which is the closest to -0.03? (a) -2 (b) -4 (c) 2 (d) -5 a What is the closest to 0 in 11.04, 5, -1? -1 What is the nearest to 0.1 in 3/2, -0.1, -56? -0.1 Which is the closest to 1? (a) 1 (b) 6/11 (c) 0 (d) -2/13 a Which is the nearest to 2? (a) 29/7 (b) -1 (c) 1/3 (d) 2 d What is the closest to -0.2 in -5, 0.5, 0, 1? 0 Which is the nearest to 1? (a) -73 (b) 12/17 (c) 4 b Which is the closest to 2? (a) 1 (b) 0.3 (c) -4 (d) -5 a What is the closest to 1/2 in -0.1, -2.2, 4/9? 4/9 Which is the nearest to -1/4? (a) 2 (b) 4 (c) -15 (d) -47 a What is the nearest to -0.07 in -4, -0.4, 0.5, 0.009? 0.009 Which is the closest to 0.0065? (a) -1/5 (b) -2 (c) -1/4 a Which is the closest to 0.1? (a) -3 (b) 1/2 (c) 5 (d) -5 b What is the closest to 1/4 in -3, -12, 2/9, -5? 2/9 What is the closest to 1 in 4, 0.2, 30, -0.1? 0.2 Which is the nearest to -0.1? (a) -0.3 (b) -61 (c) 1/8 (d) 1/4 a What is the nearest to -1/8 in 4, 0.27, -2/13? -2/13 Which is the nearest to 0.08? (a) 1 (b) -2/49 (c) 1/2 (d) 3/5 b What is the closest to -1 in 3/7, -0.7, 73? -0.7 What is the closest to 0.2 in 3/5, 0.9, -2.6? 3/5 What is the nearest to -112 in 1, -1/3, -0.5, -1/4? -0.5 Which is the nearest to 2/5? (a) -1 (b) -1/3 (c) 0.13 c What is the closest to 5/2 in -2, -5, 3/7? 3/7 What is the nearest to -1 in 0.3, 13, -2/9? -2/9 Which is the closest to 0? (a) 2 (b) -5 (c) -10 a Which is the closest to 0.1? (a) -1/3 (b) -0.01 (c) 26 b Which is the nearest to -1? (a) -3 (b) 0.4 (c) -50 b What is the closest to 2/19 in -4, 2, 0.3, 2/15? 2/15 What is the closest to -5 in 2/3, -2/7, 4, 0.29? -2/7 What is the closest to 2/5 in -5, 1/14, -0.1, -2? 1/14 Which is the closest to 0.1? (a) 8 (b) 2 (c) 0.2 (d) -1/5 c Which is the closest to 1? (a) 4 (b) 0 (c) 0.3 c What is the nearest to -2 in 1/8, 1, 2, -12? 1/8 Which is the closest to -3? (a) -25 (b) 5 (c) -0.1 c What is the closest to -1 in -2, 5, -1/2, -2/31? -1/2 Which is the nearest to -8? (a) 12 (b) -1 (c) 0.16 b Which is the nearest to 1/3? (a) -6 (b) -1.5 (c) -1/8 c What is the nearest to -3 in -0.6, 4, -0.3, 2? -0.6 What is the closest to 1 in 2/7, 5, 7, -0.01? 2/7 Which is the closest to -2/9? (a) -1/7 (b) -51 (c) -0.2 c Which is the nearest to 1/3? (a) 1 (b) -1.24 (c) 3 a Which is the nearest to -10? (a) -3 (b) 2/13 (c) -3.3 (d) -2 c Which is the nearest to -0.66? (a) 0.4 (b) -1/3 (c) 0.1 b Which is the nearest to 1? (a) 4/39 (b) -31 (c) 2 a What is the closest to 0.2 in 19, 1/5, -1/3? 1/5 What is the nearest to 0.1 in 4, 1231, 0.4? 0.4 What is the nearest to -0.2 in 5/2, -2, -0.08? -0.08 Which is the closest to 3? (a) -0.4 (b) 4 (c) 5 b What is the nearest to 36 in 0.5, -1/3, 2/9? 0.5 What is the nearest to -0.1 in -5, -303, 0.07? 0.07 What is the closest to 3 in 2/7, -0.0089, -1/3? 2/7 Which is the nearest to -2/13? (a) 1 (b) -1/3 (c) 1/8 (d) -3/5 b Which is the nearest to -1? (a) -0.5 (b) 58 (c) 5 (d) -0.4 a What is the closest to 0.1 in 1/11, 37, -1/2? 1/11 Which is the nearest to 1/20? (a) 4 (b) -1 (c) 3 (d) -5 b What is the closest to 84.7 in -1/5, -1/4, -0.1? -0.1 What is the closest to 3/2 in 3, -3, -2/11? 3 What is the closest to -2/11 in -3, 0, -1, 3/8? 0 What is the nearest to 1 in 0.1, 5, -3/7, 13? 0.1 What is the nearest to 1 in 0.2, 24/17, -6? 24/17 What is the nearest to 1 in -1.5, -132, 0, -1? 0 Which is the nearest to 0.2? (a) -0.5 (b) 33 (c) -5 a Which is the nearest to -48? (a) 2 (b) -0.1 (c) 4/11 b Which is the closest to 2/9? (a) 1/2 (b) 0.4 (c) 1/5 (d) 3 c Which is the closest to 3? (a) 2/7 (b) 4 (c) -24 (d) 5 b What is the closest to 0.3 in -57/7, -9, -0.5, -0.1? -0.1 What is the nearest to 3 in -44, -1, 3/5? 3/5 What is the nearest to -13/5 in 1/5, 3, 2, -5/4? -5/4 What is the nearest to -55 in -1, -3, 19? -3 Which is the nearest to 0.2? (a) -1 (b) 0.3 (c) -5 b Which is the closest to 0? (a) -0.2 (b) -1/4 (c) -5 (d) -2/9 a What is the closest to 3 in -3, 2/5, 6, -0.1? 2/5 Which is the closest to 2/63? (a) -5 (b) -4 (c) -1/2 (d) 3 c Which is the closest to 2/5? (a) -1/3 (b) 4 (c) -5 (d) 145 a Which is the closest to -24? (a) -10 (b) 2/13 (c) -4 a What is the nearest to 0.1 in 4, -5, 0, -3? 0 What is the nearest to 1/80 in 0.2, 0.3, 2/5, -2? 0.2 Which is the nearest to 1.7? (a) -2/183 (b) -3/4 (c) 4 (d) 0 d Which is the closest to 0? (a) -1 (b) 0.5 (c) 5 (d) -4 b Which is the nearest to 1/2? (a) 3/2 (b) 3/7 (c) -1/3 (d) 1/4 b What is the nearest to 0.8 in -1/6, 2/7, -19? 2/7 What is the closest to -1 in -0.5, 0.4, 2/11, 2? -0.5 Which is the closest to 0.04? (a) -1/4 (b) 2 (c) 2/25 c Which is the closest to 13? (a) 3 (b) -1 (c) 0.3 (d) 0.14 a Which is the closest to -1? (a) 0.2 (b) -5/3 (c) 2/3 (d) -0.1 b What is the closest to 0.1 in -2/3, 3, -1/3, 9/4? -1/3 Which is the nearest to 0.02? (a) -2 (b) 4 (c) -0.5 c What is the nearest to 5 in 0.03, -1/13, 4? 4 Which is the closest to 0.5? (a) 1 (b) -0.2 (c) 2 (d) 1/3 d Which is the closest to 2? (a) -1/3 (b) 2 (c) -3/4 b Which is the closest to -1? (a) 0 (b) 4 (c) 3/5 (d) 1/5 a What is the nearest to 0.054 in -0.3, -3, 1, 5? -0.3 Which is the closest to 0? (a) -1/5 (b) 1/3 (c) 7 (d) 2 a What is the closest to 1 in -0.2, 0.41, -0.3, -5? 0.41 What is the closest to 4 in 2/83, 0, -0.1? 2/83 Which is the closest to -1/6? (a) -1.1 (b) -0.3 (c) -1/10 (d) -2 c What is the closest to 34 in -2/3, 0.1, -4, 2? 2 What is the nearest to -3/2 in 28, -0.3, 5, 4? -0.3 What is the closest to 1/4 in -2/7, 0.08, -2/17, -1/9? 0.08 Which is the closest to 2? (a) -3 (b) -2/7 (c) 1/6 (d) 5 c Which is the nearest to -1? (a) 7 (b) -5 (c) -22 (d) -1/2 d Which is the closest to 0.0361? (a) -5 (b) -2 (c) 2/3 c Which is the closest to -2/5? (a) 0.1 (b) 2/3 (c) -0.06 c Which is the closest to 0.01? (a) 2/7 (b) 1 (c) 0.13 c What is the nearest to 3 in -41/5, 1, 0.2? 1 What is the nearest to 1/4 in -3, 12, 0.3, -4/3? 0.3 What is the closest to 0 in -2/13, -0.145, -5? -0.145 What is the closest to 7 in -3, 0.4, 8/5, 0.2? 8/5 Which is the nearest to 3? (a) -5 (b) -4 (c) 1/11 (d) -7/2 c Which is the closest to 0.2? (a) 1 (b) 1898 (c) -1/4 c What is the closest to 0 in -17.9, 14, 0? 0 Which is the nearest to 2/3? (a) -4 (b) -4/3 (c) 48 (d) -1/3 d Which is the closest to 0? (a) -17.8 (b) 0.1 (c) -3 (d) -1 b What is the closest to 0.5 in 2/9, 1/4, 0.5, 5? 0.5 What is
{ "pile_set_name": "DM Mathematics" }
s**2 + 7*s + 30. Let n(p) = -4*d(p) + 5*o(p). Is n(q) even? False Let q(s) = s**3 + 3 - 2*s + 6*s**2 + 3*s - s**3 + s**3. Let p be q(-6). Is (-2)/p*(-690)/(-4) a multiple of 13? False Suppose i = a + 19, -3*a = -7*a - 4. Is 29 a factor of 1845/i + 3/6? False Let q(n) = 514*n - 750. Does 41 divide q(5)? False Suppose 0 = 6*q - 500 + 116. Suppose -5*t = -t + q. Does 10 divide ((-100)/80)/((10/t)/5)? True Suppose -x = -5*q + 245, -4*q + 5*x + 217 = -0*q. Suppose 5*n = -u + 39, 3*u - 4*n = -u + 36. Suppose -3*h - 5*a = -h - q, 0 = -h - 5*a + u. Is 3 a factor of h? False Suppose 0 = 4*n - 8*n + 4. Is 8 a factor of (n - 2) + 3 + 27 + 51? True Let o be ((-192)/(-20))/((-4)/30). Let u be -26 + 20 + (-81)/9. Let i = u - o. Does 11 divide i? False Suppose -119911 + 352903 = 20*n + 76*n. Is 3 a factor of n? True Let h(w) = 21*w**3 - 20*w**2 + 143*w - 6. Is h(14) a multiple of 20? True Let m(o) = -166*o + 7. Let n be m(-8). Suppose 4*r = -3*c + n, -6*r + 1295 = -2*r - 5*c. Is 34 a factor of r? False Let g(k) = 760 - 177*k + 414*k - 802. Is 9 a factor of g(2)? True Suppose -k = -4*s + 898, -154 = -s - 3*k + 90. Does 4 divide s? False Let q be -1*(-1 + 2) - (-53 + 48). Suppose q*i = 4*f - 3684, f + 0*i - 931 = -4*i. Does 13 divide f? True Let r be 89*-1*(14 - 23). Suppose 99*i = 102*i - r. Is i a multiple of 26? False Let h(z) = 155*z**3 + 2*z**2 + 5*z + 2. Let m(n) = 77*n**3 + n**2 + 3*n + 2. Let p(v) = 2*h(v) - 5*m(v). Does 25 divide p(-2)? True Let w(m) = 19*m**2 + m**3 - 3*m + 24*m**2 - 10 - 42*m**2. Suppose -10 = -2*d - 0*d. Is w(d) a multiple of 25? True Let z(s) = 245*s + 38. Let o(l) = -61*l - 10. Let i(j) = 9*o(j) + 2*z(j). Does 9 divide i(-6)? False Let h be 2/(2/3) - (1036 + -2). Let u = 2158 + h. Suppose 5*l + 3*t - u = 0, -5*t = 2*l - 3*t - 450. Does 14 divide l? False Let f = 428 + -412. Suppose z + 3341 = 2*i, -4 = -4*z - f. Is 17 a factor of i? False Suppose -2*l = -4*l + 56. Suppose -4*f - 312 - 80 = 0. Let o = l - f. Does 21 divide o? True Let u(p) = 4*p**2 + 13*p + 18. Suppose 0 = 12*v - 7*v - 20. Is 3 a factor of u(v)? False Let l = 9497 - 761. Does 14 divide l? True Let s be 0*2/8*1/3. Suppose 465 = 5*g - 5*l, s*g - 4*l - 84 = -g. Is g a multiple of 49? False Suppose 360600 = 277*d - 202*d. Does 8 divide d? True Let y = 21 - 5. Let v(k) be the second derivative of -k**5/20 + 17*k**4/12 - 2*k**3 - 5*k**2 + 173*k. Does 7 divide v(y)? False Suppose -2*q + 0*t + 2*t = 4, 0 = -3*q - 4*t - 20. Let r = 6 + q. Suppose 3*n = r*k - 0*n - 60, 5*k - 5*n - 155 = 0. Is 5 a factor of k? False Suppose -4*h - 1035 = 8*g - 263739, -3*g - 5*h + 98493 = 0. Is g a multiple of 105? False Is 10 a factor of (0 - (-2 - (-26626)/(-10)))/((-41)/(-410))? False Suppose 4*d = -4*h + 1660, -455*h + 450*h - 823 = -2*d. Does 18 divide d? True Let h = 18 - 18. Suppose 0 = v, -y + v + 2 - 7 = h. Let w = y + 102. Is 29 a factor of w? False Let n(r) = 2*r**2 - 28*r + 14. Let g be n(14). Let i(q) = -9*q - 12*q - g - 11*q. Is i(-6) a multiple of 26? False Let v(q) = q**2 + 18*q + 1112. Does 10 divide v(-16)? True Let h be 1 + (19 - (6 + -6)). Suppose h*j - 21*j = -870. Is j a multiple of 49? False Let j(l) = -l + 6. Let p be j(3). Suppose -p*q + 9 + 0 = 0. Suppose w - 124 = h, -q*h - 624 = -w - 4*w. Is 11 a factor of w? False Let c = 394 - 166. Suppose c = 9*d - 222. Is 2 a factor of d? True Let r(w) = w**3 - 2*w**2 - w - 6. Let t be r(3). Suppose -9*q = -t*q. Suppose 6*k - 553 + 139 = q. Is k a multiple of 11? False Suppose -4511 - 4801 = -8*r. Let q = r - 688. Does 28 divide q? True Suppose 2*s - s + 3*q + 3 = 0, -3*q = -4*s + 18. Suppose s*h - h - 4 = 0. Suppose -51 = h*t - 135. Is t a multiple of 10? False Suppose 2*t + 0*t + 210 = 0. Suppose 3*l - 3*p - 666 = 0, 0 = 3*p - 6 + 15. Let m = l + t. Is m a multiple of 16? False Suppose 4842*c = 4853*c - 6072. Is 12 a factor of c? True Let u = 235 - 78. Let d = u + -99. Suppose 11*x - d = 10*x. Is x a multiple of 29? True Suppose 71925 = -8*t - 66*t + 569205. Is t a multiple of 28? True Let z(l) = -l**3 + 12*l**2 - l + 12. Let u be z(12). Suppose 2*r - 8 + 2 = u. Suppose -r*q + 266 = -7. Is 20 a factor of q? False Suppose -h + 177 = -5*z, -h + 33 = -0*z - z. Let a = 40 + z. Suppose 4*o + 2*n + 2*n - 72 = 0, -o + 38 = -a*n. Is 22 a factor of o? True Let x(c) = -c - 32. Let k be x(29). Let a = k + 277. Does 9 divide a? True Let z be -6 + 12/3 + 5. Suppose -z*c + 137 - 944 = -3*d, d = -3*c + 281. Is 12 a factor of d? False Let z(r) = -29*r + 11. Let l be z(-17). Let y = l - 462. Does 7 divide y? True Let c be (6 - 0) + (0 + -3 - -1). Suppose -3*m + 207 = 5*q, -265 = -c*m - q - 2*q. Let v = m - -8. Is v a multiple of 18? True Does 35 divide -3*(7 - 23 - 182)? False Suppose 4*s + 3779 - 47410 = -p, -4*s - 4*p = -43628. Is 11 a factor of s? False Suppose -2 = -5*z - 17. Let h(a) = 69*a**2 - 42*a - 78. Let w(q) = 10*q**2 - 6*q - 11. Let j(m) = -2*h(m) + 15*w(m). Is j(z) a multiple of 35? False Suppose u + 0 = 17. Suppose -u*n + 694 = -4882. Suppose n = 4*y - 4*p, -2*p = y + 44 - 120. Is 40 a factor of y? True Suppose 0 = -3*t - 3*s + 2765 + 2956, 5*t - 2*s - 9563 = 0. Is t a multiple of 3? True Is (12/(-18) - 8/6) + 1602 a multiple of 2? True Suppose -78869 - 75031 = -50*k. Does 27 divide k? True Suppose 76*q - 136*q = -71*q + 301400. Is 10 a factor of q? True Suppose -3542 = 15*u - 32792. Is u a multiple of 50? True Let j(y) = -2*y + 100. Let r be j(17). Suppose r*w - 75*w + 6372 = 0. Is 59 a factor of w? True Let n(c) = -c**2 + 24*c + 91. Let p be n(27). Suppose 0 = -0*d + p*d - 5150. Is d a multiple of 29? False Suppose 3*t - 5*c - 19 = 0, 2*c - 3*c - 5 = 0. Let l be (-7)/7*(t + 10). Let n = 142 - l. Is n a multiple of 30? True Suppose -3*p + 3*q + 171 = 0, 0 = -3*p + 2*p + 4*q + 48. Suppose 58*m = p*m - 454. Is m a multiple of 16? False Let a(l) = 36*l + 93 + 7*l - 55*l. Does 27 divide a(-12)? False Let s(k) = 16*k**2 + 5*k + 18. Is 9 a factor of s(-12)? False Let g be ((-20)/(-8))/((-2)/(-12)). Suppose -4*r - 5*s = -1, -2*s = -7*s - g. Suppose -2*l + 179 + 22 = 5*h, r*h + 5*l = 154. Is 12 a factor of h? False Let y(o) = o**2 - o + 4. Let k(a) = -4*a**2 + 19*a - 17. Let z(n) = -k(n) - 5*y(n). Let u(s) = -s - 1. Let d be u(10). Is 6 a factor of z(d)? True Suppose 19 - 11 = 4*f. Suppose 390 = f*b + 26. Suppose p + p = b. Is 13 a factor of p? True Suppose -12 + 3 = -3*x. Suppose x*t - 77 = -5*w + 567, -5*w = -2*t + 396. Does 53 divide t? False Let t(d) = d**3 - 12*d**2 + 14*d + 40. Let q be t(10). Does 13 divide 3870/q*4/6*-1? False Let g(q) = q**2 + 2*q - 4. Let p be g(-4). Suppose -p*x = 22 - 42. Suppose x*v - 241 = 129. Is v a multiple of 14? False Let u be (-4)/(-26) - (-280)/(-130). Is 26 a factor of (-3)/u*295 - (-3)/(-6)? True Let m be 29/174 - 1/(6/73). Is 36 a factor of (-27)/m - 1 - (-283)/4? True Suppose -292 = -5*f - 2*c, 2*f + 2*c + 46 = 164. Let x = 246 + f. Is 38 a factor of x? True Let k = -22 - -22. Suppose 4*d - 3*t = 11, -d - t + k*t = -8. Is 12 a factor of (11 - 6)*36/d? True Let u(l) = -2*l + 6. Let d be u(3). Suppose d = 3*j + 5 + 43. Does 12 divide 0 - -12*j/(-3)? False Suppose 3*o - 4 = 2*o + 4*k, 0 = -3*k + 6. Suppose -2634 + 606 = -o*x. Does 13 divide x? True Suppose 2*t - 3933 = -7*t. Suppose 2*b + 218 = -2*q + 4*q, 4*q - 3*b = t. Is q a multiple of 11? True Suppose r - 55 = -50. Suppose r*c - 3677 + 622 = -5*p, 3*c - 603 = -p. Is p a multiple of 15? True Let a(i) = 5*i**2 - 10*i - 6. Let q be a(11). Let m = q - 147. Suppose r - m = -r. Is 57 a factor of r? True Suppose 2*y + 3*y = -15, 5*s - 3*y = 384. Suppose 4*g - s = 3*g. Suppose -2*f = -x - 45, 4*f + x = -0*x + g. Is 10 a factor of f? True Suppose 2*p - 1540 = -2*z, z - 5*p = -3*p + 764. Let v = z - 745. Is v even? False Let k(t) = -2*t**3 - 11*t**2 - 8*t + 24. Let x be k(-6). Let h = x + 252. Is 20 a factor of h? True Let u(g) = -g**2 - 9 - 3*g**2 + 3. Let f be u(-4). Let h = 23 - f. Is h a multiple of 20? False Let j(o) = -6*o**3 + 4*o**2 - 31*o + 6. Does 24 divide j(-14)? True Is 5425 + 23 + 4 + -14 a multiple of 62? False Let b = -67 + 71. Let n(j) = -3*j + 24 + 61 - 7 + b*j. Is n(-28) a multiple of 37? False Suppose 2788 = 2*y - 1846. Let g = y + -1269. Does 17 divide g? False Let x(u) = -2*u**3 + 152*u**2 + 44*u - 370. Is 4 a factor of x(7
{ "pile_set_name": "DM Mathematics" }
and -63805320? 63805384 Sum -0.86 and 64290040. 64290039.14 Put together 0.0045 and -24005. -24004.9955 What is -0.940548 minus 7771? -7771.940548 Add together -56 and -13962.86. -14018.86 Add together 1 and -62085.0174. -62084.0174 0.20357+-2174 -2173.79643 Work out -190462104 - -2. -190462102 Work out -2 - 58917934. -58917936 -3.7 - 4.919406 -8.619406 Sum 0.03 and 0.0293806614. 0.0593806614 Add 1432 and -5730.9. -4298.9 Calculate 23898000.25 + -3. 23897997.25 Put together 4 and 417.9144494. 421.9144494 What is the difference between 320 and -3287.04? 3607.04 Work out -9204 - 1.396553. -9205.396553 What is -157241 plus 2128? -155113 Sum -160654 and 16170. -144484 Subtract 8512.133 from -0.5. -8512.633 What is the difference between 0.8 and 100.351? 99.551 -2 + 25325054.39 25325052.39 Put together 1 and 0.07206971771. 1.07206971771 0.1+-17525407 -17525406.9 What is -0.0176 - 32509? -32509.0176 What is -85358518 - -0.6? -85358517.4 What is 5.16767 take away 16.12? -10.95233 Subtract -0.8204301078 from -0.2. 0.6204301078 Sum -5 and 147117823. 147117818 Total of 7737647 and -0.435. 7737646.565 Work out 28549372 + 2. 28549374 Add 1646 and 561647. 563293 Calculate 437 + -478197. -477760 What is 300.1 take away -422965? 423265.1 Subtract 6.7 from -0.411137. -7.111137 Add together 65259674306 and 2. 65259674308 What is -5.5 - 2069556? -2069561.5 Subtract 22.2 from -0.544083. -22.744083 6 - -45072515 45072521 -0.28706 - 25369.81 -25370.09706 What is -4.963723 take away 1.02? -5.983723 Work out 640 + 1.73399791. 641.73399791 Add 0.4 and 0.17148514153. 0.57148514153 4+539.64 543.64 Total of 963589605 and 0.2. 963589605.2 Subtract 0.25 from -57.5877. -57.8377 What is 148 minus 0.223814345? 147.776185655 Add -4.9 and -873498.8. -873503.7 Total of 2041713.466 and -0.4. 2041713.066 193 - 38402422 -38402229 What is -1527294277 - -0.9? -1527294276.1 0.04225636+-3 -2.95774364 Work out -0.1 - 756804.222. -756804.322 What is -1327024 - 20029? -1347053 What is -6 + 17534033? 17534027 Add together -787 and -24.61639. -811.61639 Total of 112.789 and 0.123447. 112.912447 What is -187 take away -17.62485? -169.37515 Calculate -3.82 + -143267841. -143267844.82 What is 6 minus -2816998.55? 2817004.55 Sum 0.62 and -1015473039. -1015473038.38 What is the distance between 26780691.7 and -2? 26780693.7 Add 0.11 and 945479. 945479.11 Add -21.879 and 0.04906. -21.82994 Work out 363243 + 0.543. 363243.543 Subtract 0.2320482648 from 1.1. 0.8679517352 Subtract -0.58 from 9862430. 9862430.58 What is 1.07134355 plus -0.3? 0.77134355 What is 250 less than 1951279.8? 1951029.8 259 + -452626 -452367 What is -558621 less than -60? 558561 Add -0.1 and -16762732.2. -16762732.3 What is -4.939 plus 305057? 305052.061 What is -7 minus -2489607? 2489600 What is 19 minus 4515843? -4515824 Work out -1503318 + -1575. -1504893 Calculate -2397997528.1 - 0.2. -2397997528.3 Work out 0.2 - 9853864477. -9853864476.8 Calculate -9.083 - 3819727. -3819736.083 Work out 1 - -0.1567863924. 1.1567863924 Calculate 0.612 - 480384. -480383.388 202363973+0.5 202363973.5 What is the distance between -5769525 and 119? 5769644 Total of -128081955 and -15. -128081970 What is 1406 take away -13.5047? 1419.5047 Calculate 81.039 - 0.88. 80.159 -0.3 - 87641024 -87641024.3 What is -24982765 take away -0.1? -24982764.9 Add -2 and -24365685.77. -24365687.77 What is 4602836568 minus -0.2? 4602836568.2 What is -0.0047045 minus -0.731? 0.7262955 What is 32.80218 + 356? 388.80218 Put together 0 and 0.535006538. 0.535006538 What is -0.5488 minus -0.035958? -0.512842 What is 14 - -42674158? 42674172 What is the distance between -0.199 and 1.1820365? 1.3810365 Calculate 0.07 + 8453966055. 8453966055.07 What is 74811 take away 105281? -30470 What is -49816 plus 7115.9? -42700.1 Work out 952707935 + 13. 952707948 25389 + 5158 30547 What is 231 less than -2468? -2699 What is 2606 minus 3948? -1342 Calculate -0.1745916 - 14.66. -14.8345916 What is -3983735431 less than 0.07? 3983735431.07 Work out -21 - 0.0441807. -21.0441807 Add 2478.9 and 114. 2592.9 23574381.8 - 1 23574380.8 What is -7721 plus 187298? 179577 What is 37539.301 - -107? 37646.301 What is -0.3 - 0.0147815? -0.3147815 Subtract 24042 from -13.728. -24055.728 What is the difference between -252.737204 and 0.6? 253.337204 Total of 0.02875 and 0.1298. 0.15855 Add -0.03 and -9564197. -9564197.03 Put together 0.170255 and 2.38879. 2.559045 Work out 1124 - 6173. -5049 What is -1410 minus -4845? 3435 -11254280 + -0.15 -11254280.15 What is 28288613 minus 430? 28288183 What is 0.2651 minus 3.54? -3.2749 Put together 259419200 and -0.12. 259419199.88 What is the difference between 535928.67 and 50.6? 535878.07 What is 4.918482829 take away 0.2? 4.718482829 Put together -39649 and -1580. -41229 Work out 12 - 3888053. -3888041 Add together 3560 and -38.03. 3521.97 Calculate 1.67 + 13.57722. 15.24722 114.97894 + 11.64 126.61894 What is 76597729 + -1? 76597728 What is the distance between 1551108 and -51? 1551159 Sum 405116944 and -0.7. 405116943.3 What is the difference between -0.07 and 79548.3093? 79548.3793 1133.5724+-215 918.5724 Subtract -5046107 from 1793. 5047900 What is the distance between 1 and -22445.187? 22446.187 Subtract -2.9213 from -1769403. -1769400.0787 What is the difference between -0.5 and -6829.232313? 6828.732313 What is -214334.4 + 0.2? -214334.2 Sum 8.8689 and 20371. 20379.8689 What is 4 minus 10447.102? -10443.102 Sum -150.5498 and 46. -104.5498 What is -14 plus -147777838.2? -147777852.2 Sum 6.9 and 79581. 79587.9 -5561 - 4027 -9588 What is -240.003573 - 4? -244.003573 Subtract -3.8685 from -1.48. 2.3885 What is the distance between -0.75123 and 0.0115? 0.76273 Total of -1.8091 and 31. 29.1909 What is -0.01302 + 318.3237? 318.31068 Sum 0.5054324 and -1.73. -1.2245676 Add together 354139 and 30. 354169 Work out -188.30298 + -1001. -1189.30298 What is 18410861627 less than -5? -18410861632 Sum -3895115140 and 4. -3895115136 What is the distance between 217475.9 and -16965? 234440.9 -356966651 - 0 -356966651 Sum 0.3 and -4573687962. -4573687961.7 Total of 135.5192 and -6. 129.5192 What is 0.161 take away -319.9147? 320.0757 Add together -2.9 and 7027719. 7027716.1 What is 46 plus 0.0009734761? 46.0009734761 What is -227245 minus -106? -227139 Work out -29304 + 103. -29201 What is 2304.5326 take away -0.5? 2305.0326 -13985 + 6020.9 -7964.1 14 - 1003977 -1003963 What is the distance between 11121 and 7730.5? 3390.5 What is 88000 + -30472? 57528 What is 2.56 minus -2945398.2? 2945400.76 Calculate -12.7565 - -1. -11.7565 Subtract 292.83973 from -0.26. -293.09973 Subtract 14954 from 2618. -12336 -8+775.246 767.246 What is 1 take away 102093663? -102093662 Subtract -3.3847 from -409.9. -406.5153 What is -5596 take away -7389? 1793 Put together 23296.0973 and -1. 23295.0973 Total of -12318549 and 3. -12318546 Add 0.08 and -1830654070. -1830654069.92 Total of 873928412 and -0.15. 873928411.85 Add 0.5 and -369369.8. -369369.3 What is -0.0507 less than 86601? 86601.0507 What is -1969719 - 0.686? -1969719.686 2296.31227 - -0.2 2296.51227 Calculate 2489 + -165.532. 2323.468 Calculate -0.2 + -432685.988. -432686.188 What is the difference between -74 and 1357.489? 1431.489 Work out -258474965 - -1.8. -258474963.2 Work out -1.27456 + 22367. 22365.72544 913455 - -0.28 913455.28 Work out -0.03586642 - 7. -7.03586642 Calculate -1655730309 - -3. -1655730306 Work out 0.368 - -35126. 35126.368 What is the distance between -3009.8 and -46.26? 2963.54 What is 118907 take away -0.131642? 118907.131642 -637011153 - -0.1 -637011152.9 -4265.89 - 71 -4336.89 Calculate -296198.234 - -56.6. -296141.634 Subtract 3846910 from -3. -3846913 What is 0.1 + 119435226? 119435226.1 What is the distance between 3 and 193282087? 193282084 Calculate -553965.5 - -1.38. -553964.12 What is -22 - -7112581.12? 7112559.12 Total of 4 and 1535.44553. 1539.44553 What is -13887.2981 - 0.1? -13887.3981 0.1 - 13259317958 -13259317957.9 What is the difference between -1885554.49 and -140? 1885414.49 What is the difference between 211 and 0.034802? 210.965198 What is 571918 minus 0.135? 571917.865 What is -0.14 less than -49861846? -49861845.86 -472915208+-3 -472915211 What is -1 + 36408941? 36408940 Work
{ "pile_set_name": "DM Mathematics" }
-0.12. -1959.96 Work out 4 * -0.50402. -2.01608 Multiply -6365 and -21.3. 135574.5 Product of 0.067 and 16016. 1073.072 Multiply -25226 and -0.1. 2522.6 Calculate 0.5*5036. 2518 Product of 38.0436 and 1. 38.0436 Work out -15749.67 * -0.4. 6299.868 Work out 3.9291 * 3. 11.7873 What is the product of -0.4 and -14.36? 5.744 What is 0.3 times -113485? -34045.5 Product of 5 and 26865. 134325 Work out -19195 * 24. -460680 What is 4 times 13281? 53124 5 times -0.33627 -1.68135 Work out 1015 * 4. 4060 Product of 145851 and -1. -145851 Work out 37017 * 0. 0 Work out -4445 * 0.6. -2667 What is the product of 1186480 and -2? -2372960 -0.02 times 414.917 -8.29834 -126.38 times -21 2653.98 -22.1421 * 0.13 -2.878473 Calculate -5404.22*0.8. -4323.376 What is the product of -2.5 and -1666? 4165 What is -0.8 times 91175? -72940 Multiply 0.4 and -238.44. -95.376 Work out -5.1154 * 2. -10.2308 -0.2 times -125.1 25.02 What is the product of -3 and -40508? 121524 -4522 * -463 2093686 Work out 295416 * -0.3. -88624.8 Multiply 4 and -62775. -251100 Product of 680 and 0.103. 70.04 0.2 * 665.36 133.072 0.2*-1762239 -352447.8 -0.4 * 152052 -60820.8 Product of 0.00376 and 9. 0.03384 What is the product of 12 and 4111? 49332 3 times 96286 288858 What is -270 times 214.9? -58023 -0.040853 * 0.5 -0.0204265 Work out -31310 * 1. -31310 Product of -5 and 152.043. -760.215 Product of 0.04 and 0.0281. 0.001124 0 times -11013 0 2*-1124.81 -2249.62 Work out -0.037 * -0.541. 0.020017 Product of 10 and 11290. 112900 1.049 * 0.207 0.217143 What is 3 times -0.447052? -1.341156 Work out 11 * 2670.4. 29374.4 22348 * -28 -625744 Product of 4 and -18672. -74688 Calculate -0.5*9952. -4976 0.3*138.8619 41.65857 Calculate -2273*-0.0087. 19.7751 -10824 times 3.1 -33554.4 Multiply 0.02344 and -8. -0.18752 1498649 times 3 4495947 19666*9 176994 -0.5 times 21150 -10575 Calculate -3.85*-393. 1513.05 Work out -0.2 * 73.647. -14.7294 Product of 36 and 2.389. 86.004 1152.2 times -0.66 -760.452 Multiply -30 and 43194. -1295820 Product of -1 and -17021. 17021 Work out -54482 * -31. 1688942 Multiply 0.2618 and 0.04. 0.010472 Work out 3606 * 0.55. 1983.3 Product of 0.04 and 74455. 2978.2 Work out 0 * 0.05651. 0 184.0981 times 4 736.3924 Multiply 44.6 and 0.1755. 7.8273 -6*118.545 -711.27 What is -132.6 times -3.1? 411.06 What is -2248 times 21? -47208 Work out -2 * 4.4497. -8.8994 What is the product of 8.5 and -1448? -12308 Multiply 1 and -3.76334. -3.76334 What is 0 times 17.942? 0 0.24 * -1659 -398.16 0.0773 * -11.18 -0.864214 Product of 74215 and -4. -296860 Work out -1725.7 * 6. -10354.2 -55 times -558 30690 Multiply -0.002149 and -4. 0.008596 Calculate 0.3*-6140. -1842 51*13476 687276 What is the product of -0.2767357 and 0? 0 Product of 101553 and 0.1. 10155.3 Work out 266 * 1138. 302708 -0.29 * 40256 -11674.24 -157.07*0.14 -21.9898 Multiply 6394 and 32. 204608 What is the product of 9427 and 29? 273383 Work out -0.112 * -1.812. 0.202944 Calculate -15.264*-1. 15.264 Calculate -0.40404*1. -0.40404 2 * 138520 277040 What is the product of 0.2 and -11163? -2232.6 0.4*11066.5 4426.6 0.1931309 times 0.1 0.01931309 Calculate -73*0.68. -49.64 17073 * -0.16 -2731.68 Multiply -8 and 467.72. -3741.76 What is 40122 times -6? -240732 Product of -4 and -134306. 537224 Multiply -17 and -1.64. 27.88 What is the product of -24 and 9316? -223584 Multiply 25 and 17692. 442300 Work out 0.21 * 52.62. 11.0502 -3.4868 * 5 -17.434 Product of 0.02739631 and -0.4. -0.010958524 What is 1 times 252670? 252670 What is the product of -0.06722 and -0.41? 0.0275602 -126*-38 4788 -0.03*1.02738 -0.0308214 What is the product of 28 and 0.020881? 0.584668 Multiply 0.2 and 0.01532. 0.003064 0.1*-7.322 -0.7322 What is the product of -0.966 and -0.088? 0.085008 10939 * -7 -76573 Calculate 0.4*37790. 15116 0.3 * -5.4349 -1.63047 Multiply -33 and -93. 3069 What is 0.39 times -52494? -20472.66 Calculate -10.9*-39. 425.1 Multiply -0.02 and -0.15646. 0.0031292 Product of -61781 and 0. 0 0.09 * 2334 210.06 19.7694 times 3 59.3082 What is -0.1 times 24905? -2490.5 What is -0.02 times 2406? -48.12 Work out -1745 * -152. 265240 Work out -0.2 * 13.04. -2.608 Work out 27709 * -7. -193963 6552.2 * 0.3 1965.66 Calculate -37675*-0.6. 22605 What is -0.52 times 57.1? -29.692 -1.5 times 301 -451.5 Multiply 7 and -3.311. -23.177 Work out -1016 * 39. -39624 3.07016 * 1 3.07016 Product of -0.98 and -15718. 15403.64 Product of 25293 and 1.4. 35410.2 -47.93 * 0.17 -8.1481 -2.3 * 3328 -7654.4 0.5*0.3875 0.19375 What is the product of -0.145627 and 0.9? -0.1310643 Work out 0.037 * 0.1371. 0.0050727 What is -10702 times -138? 1476876 Work out 5.5 * -1077. -5923.5 What is the product of -3 and -314567? 943701 Product of -48.056 and -0.1. 4.8056 What is the product of 3502 and -1? -3502 775172 * 0.4 310068.8 What is the product of -13928.25 and 5? -69641.25 -9.02 times 0.018 -0.16236 What is the product of -4 and -7731.4? 30925.6 1.6816 * -2 -3.3632 Work out 0.847 * -7. -5.929 Work out -8447 * 18. -152046 Product of -1.3742 and 0. 0 Multiply 0 and 1548.71. 0 Multiply 341728 and 0.5. 170864 -0.211*28.6 -6.0346 Calculate -10146*-0.4. 4058.4 Multiply -0.3 and 27013. -8103.9 Work out 2.29 * 1.3. 2.977 Multiply 27.3 and -94. -2566.2 What is -52329 times 0.13? -6802.77 What is -12918 times 86? -1110948 What is -0.03 times 0.8075? -0.024225 Work out -17014 * 16. -272224 33648.6 * 0.08 2691.888 What is -0.1 times -0.01251? 0.001251 Multiply 0.4 and -65.399. -26.1596 75683*-4 -302732 Calculate 0.7*685. 479.5 What is -0.684 times 67.76? -46.34784 -0.06609*-0.124 0.00819516 Calculate 3*213.7. 641.1 Work out 0.4 * -0.086007. -0.0344028 Calculate -10.19*1.53. -15.5907 Work out 2275.4 * -5. -11377 Calculate 0.01*-0.02057. -0.0002057 -0.48 times -378.7 181.776 Multiply -5037 and -18. 90666 Calculate -189880*-0.3. 56964 Work out 72 * 2047. 147384 Product of -2 and 0.06873. -0.13746 -2 times 152639.8 -305279.6 Calculate 0.0082*1287. 10.5534 7.2*-0.1545 -1.1124 What is the product of 0 and -64.56? 0 -1.1 * -36288 39916.8 What is -0.05568652 times -1? 0.05568652 -6*-133850 803100 What is -4402314 times 0.3? -1320694.2 -35599.8*-0.4 14239.92 231484 * 0.1 23148.4 Multiply -5 and 0.07887. -0.39435 Calculate -55997.1*0.1. -5599.71 What is the product of -55290.1 and -4? 221160.4 What is 0.9 times -0.296? -0.2664 -67.455*0.2 -13.491 -69 times 2.4 -165.6 Multiply 1461 and -0.467. -682.287 2 * 0.44767 0.89534 What is the product of 22612 and -1.4? -31656.8 Product of -0.075767 and -0.04. 0.00303068 Product of 3 and 0.7652. 2.2956 What is the product of -117 and -7.2? 842.4 Calculate 814.9*-2. -1629.8 Calculate 20.88917*-0.5. -10.444585 Calculate -1593010*-4. 6372040 Multiply -68687 and -0.5. 34343.5 0.186539 times -0.08 -0.01492312 Work out -0.084 * -41.5. 3.486 Work out -0.16 * -0.025043. 0.00400688 Calculate -119387*0.2. -23877.4 Multiply -4 and -8578. 34312 -918 times -15.66 14375.88 Product of 185859 and 1. 185859 Product of 0.0001172 and 5. 0.000586 What is the product of 671 and -21? -14091 -94162 times 11 -1035782 What is 39220 times -2.3? -90206 What is the product of 665 and 55.6? 36974 Product of -169 and -8.795. 1486.355 Multiply -2.3408 and 0.5. -1.1704 Work out 79 * 1. 79 518.36*-4 -2073.44 What is the product of 332670 and 3? 998010 0.3 times 65719 19715.7 Calculate 0.02*2169. 43.38 Multiply 16.09 and 9. 144.81 7.9*-329 -2599.1 What is the product of -1000 and 24? -24000 0*-433792 0 27469 times -4 -109876 3996*41 163836 Calculate -0.2*-15.1. 3.02 Product of 1124 and -2.9. -3259.6 Product of 437969 and 0.5. 218984.5 55.02 times -0.061 -3.35622 What is the product of -0.02976 and 2? -0.05952 Work out 0.2 * -93637.5. -18727.5 Work out -0.04 * -21.748. 0.86992 Product of -0.934 and 0.026. -0.024284 Product of 3.1 and -2809. -8707.9 Work out 0.2 * 601.44. 120.288 What is the product of 1205882 and 0? 0 -0.1277645*-1 0.1277645 -0.1601 * 8 -1.2808 0.1 times 21996.3 2199.63 Product of -3988 and 73. -291124 What is -0.01675 times 3.41? -0.0571175 Calculate 8736*-11. -96096 Calculate 0.3475*0.3. 0.10425 What is the product of 3217 and 0.292? 939.364 Multiply 4 and 30295. 121180 Work out -312.2 * -57. 17795.4 -2 * 1646.8 -3293.6 What is 22110 times -2.6? -57486 Work out -8644
{ "pile_set_name": "DM Mathematics" }
**4 Let h(v) = -14*v**2. Let c(q) = 2*q**2. Let o(j) = 4*c(j) + 2*h(j). Let n(l) = 126*l + 2 - 2 - 128*l. Calculate n(o(y)). 40*y**2 Let p(a) be the second derivative of -a**4/6 - 6*a. Let o(g) be the first derivative of 101*g**2/2 + g + 93. Calculate o(p(q)). -202*q**2 + 1 Let g(c) be the second derivative of 0*c**3 + 5 + 0*c**2 - 5*c + 15/4*c**4. Let w(n) = 1. Let i(y) = -y**2 - 6. Let z(o) = i(o) + 6*w(o). Give z(g(j)). -2025*j**4 Let w(v) = -4420*v. Let f(s) = -59233*s. Calculate f(w(b)). 261809860*b Let j(h) = 6*h**2. Let r(l) = 111*l - 32. Let s(n) = 55*n - 14. Let t(a) = -3*r(a) + 7*s(a). Determine t(j(v)). 312*v**2 - 2 Let x(z) = z**2 + 924. Let l(i) = -28*i + 130. Let h(r) = 26*r - 120. Let k(w) = 13*h(w) + 12*l(w). Calculate x(k(b)). 4*b**2 + 924 Let o(x) = -10*x + 5*x - 8*x. Let t(k) = k - 17. Let l(b) = 18*b + 34. Let y(i) = l(i) + 2*t(i). Give y(o(r)). -260*r Let q(d) = -2541936*d**2 - 12*d. Let p(v) = 4*v**2. Calculate q(p(l)). -40670976*l**4 - 48*l**2 Let f(h) = -146905*h. Let d(x) = 29*x**2 - 7*x. Calculate f(d(b)). -4260245*b**2 + 1028335*b Let y(s) = -4 + 4 - 4*s. Let o(t) = -2*t + 3*t - 5*t - 7669 + 7669. Give y(o(d)). 16*d Let y(s) = 254049*s. Let q(i) = 951*i. What is q(y(g))? 241600599*g Let g(k) = -2*k**2. Let x(h) = -798*h**2 - 473*h**2 + 799*h**2. What is x(g(i))? -1888*i**4 Let p(q) = 60*q**2. Let g(f) be the second derivative of 7*f**3/6 + 72*f - 13. What is p(g(m))? 2940*m**2 Let l(k) be the first derivative of k**5/8 - 27*k**3 - 163. Let d(m) be the third derivative of l(m). Let s(g) = 22*g**2. Give d(s(o)). 330*o**2 Let b(y) = 28*y + 27*y + 18 - 120*y + 34*y + 26*y. Let g(d) = 18*d**2. Give b(g(n)). -90*n**2 + 18 Let l = 254 + -234. Let a(d) = 5 - 5 + l*d**2 + 40*d**2. Let y(r) = -r**2. Determine a(y(m)). 60*m**4 Let b(m) = 2*m**2. Let w(f) = -14*f + 7. Let t = -631 - -630. Let q(p) = 1. Let v(d) = 1. Let k(j) = 5*q(j) - 6*v(j). Let s(a) = t*w(a) - 7*k(a). Give s(b(y)). 28*y**2 Let t(i) = 2*i**2 + 2 - 2 + 57*i - 102*i + 51*i. Let z(r) = 12*r. Determine t(z(a)). 288*a**2 + 72*a Let c(x) = -x + 37574. Let v(o) = -3*o - 63. Calculate c(v(k)). 3*k + 37637 Let l(i) be the first derivative of -11*i**2/2 - 879. Let x(c) = -21*c. What is x(l(a))? 231*a Suppose -8*s + s = -889. Let u(x) = 2 + s*x + 0 - 150*x. Let z(w) = -w + 1. Let r(q) = -q**2 + q - 1. Let t(j) = r(j) + z(j). Calculate u(t(b)). 23*b**2 + 2 Let c(l) = 22609822*l**2. Let i(p) = 12*p**2. Calculate c(i(h)). 3255814368*h**4 Let m(q) = -q**2. Let d(o) = 110 + 201 + 148 + 169*o - 168*o. Determine d(m(g)). -g**2 + 459 Let s = -33 + 39. Let w(a) = 2*a**2 + s*a - 6*a - a**2. Let z(n) be the first derivative of -n**3/3 - 6. What is w(z(k))? k**4 Let j(b) = -205*b. Let g(h) = -4445*h + 27 + 4434*h - 27. What is j(g(z))? 2255*z Let t(r) = -1715*r. Let s(w) = 300496*w. Determine t(s(z)). -515350640*z Let g(u) = 851546*u**2. Let v(r) = -3*r**2. Calculate g(v(m)). 7663914*m**4 Let g(f) = -2*f**2 + 13*f - 3. Let q be g(6). Let a(n) = 2*n + q*n + 7*n - 3*n. Let u(d) be the third derivative of -d**5/15 - d**2. Calculate a(u(b)). -36*b**2 Let t(a) be the second derivative of -a**4/6 + 23*a. Let m(v) = 27*v**2 + 10*v**2 - 16*v**2 + 17*v**2. Determine t(m(w)). -2888*w**4 Let n(v) = -v. Let y(d) = -30274686*d. Calculate n(y(q)). 30274686*q Let r(p) = -3594*p**2. Let a(x) be the first derivative of -x**2/2 - 5669. Give a(r(s)). 3594*s**2 Let a(y) be the second derivative of -y**4/6 + 54475*y. Let c(n) = -2*n - 3 + 4*n + 130. Calculate a(c(j)). -8*j**2 - 1016*j - 32258 Let x(b) = -374*b. Let i(h) = -74447*h**2 - 3*h. What is i(x(w))? -10413348572*w**2 + 1122*w Let i(l) = 2*l**2. Let n(k) be the third derivative of 301*k**5/60 + 316*k**2 + k. Determine n(i(h)). 1204*h**4 Let k(f) = -259*f. Let c(b) = -30790*b. Give k(c(g)). 7974610*g Let l(y) = -2*y. Let f(k) = 14976184*k. Determine f(l(s)). -29952368*s Let q(b) = -7*b. Let c(d) = -61886622*d. Give c(q(u)). 433206354*u Let i be ((-14)/(-35))/(2/20). Suppose 43*y = -31 + 117. Let x(j) = 2*j + i - 4*j - j + y*j. Let t(k) = -2*k**2. Give x(t(f)). 2*f**2 + 4 Suppose 19*j = 18*j + 9. Let k(v) = -j - 21 - 2 + 2 - v. Let t(o) = -2*o**2. Calculate t(k(x)). -2*x**2 - 120*x - 1800 Let b(g) = -11. Let n(s) = 20*s**2 - 1210. Let q(j) = -660*b(j) + 6*n(j). Let p(w) = -5*w. Determine p(q(y)). -600*y**2 Let m(f) be the third derivative of -f**5/60 + 2*f**2. Let t(l) = -90*l**2 + 5*l - 3*l + 116*l**2 - 15*l**2. Determine t(m(n)). 11*n**4 - 2*n**2 Let g(u) = u - 3*u - 8 + u. Let k(x) = -6*x - 548. Let w(z) = -274. Let f(t) = k(t) - 2*w(t). What is g(f(p))? 6*p - 8 Let w(s) be the third derivative of s**4/12 - s**2 - 3076*s. Let k(x) = -15*x**2 - 11*x. What is k(w(h))? -60*h**2 - 22*h Let f(q) be the second derivative of -3551*q**3/6 - 73*q. Let v(o) = 4*o. What is f(v(n))? -14204*n Let n(k) = -2*k. Let x(a) be the third derivative of -3*a**5/4 - a**4/24 - 367*a**2. Determine n(x(f)). 90*f**2 + 2*f Let a(w) be the second derivative of -5*w**4/4 - 3*w. Let r(k) = 82*k**2 - 77*k**2 + 4*k - 4*k. Determine r(a(f)). 1125*f**4 Let b(u) = 71*u**2 + 2. Let l(d) = 2343*d**2 - 943*d**2 - 1257*d**2. Calculate b(l(g)). 1451879*g**4 + 2 Let n(v) = v**2 - 309*v. Let y(o) = -2200*o. What is n(y(r))? 4840000*r**2 + 679800*r Let h(w) = 20*w**2. Suppose 12*q - 15*q + 6 = 0. Suppose -q*n = -2*f + 4, 4*f + 2*n = n + 23. Let a(r) = f*r + 6*r - 2*r - 6*r. Determine h(a(z)). 180*z**2 Let v(o) = -1218 + 2407 + o - 1280. Let w(n) = -n. What is v(w(h))? -h - 91 Let p(k) = 5*k - 64. Let z(v) = 62686*v. Calculate p(z(f)). 313430*f - 64 Let f(s) = -10*s - 2*s**2 + 22*s + 17 - 18*s. Let u(o) = 2*o**2 + 5*o - 14. Let h(r) = 5*f(r) + 6*u(r). Let q(k) = 3*k**2. What is q(h(v))? 12*v**4 + 12*v**2 + 3 Let u(v) = 294*v. Let n(p) = -1846*p**2 + 3686*p**2 - 1842*p**2. Give n(u(m)). -172872*m**2 Let z(d) = 1. Let t(h) = 3 + 4 - 2 + h**2. Let o(l) = t(l) - 5*z(l). Let b(g) = -g. Calculate b(o(i)). -i**2 Let s(p) be the second derivative of -p**4/4 - 19*p - 29. Let z(g) = -326*g. Calculate z(s(a)). 978*a**2 Let d(r) = 4*r**2. Let q(f) = -f - 1. Let u(n) = 2*n - 6. Let l = 527 + -533. Let a(g) = l*q(g) + u(g). Give a(d(w)). 32*w**2 Let h(p) = -6*p. Let c(w) = -7078*w**2 - 45. Calculate h(c(s)). 42468*s**2 + 270 Let z(p) = -621*p + 1282*p - 662*p. Let m(a) = -a. Give m(z(u)). u Let n(r) be the second derivative of r**4 + 4*r + 103. Let g(k) = -15*k - 2. What is g(n(p))? -180*p**2 - 2 Let h(k) = -3*k**3 + 6*k**2 + 10*k + 7. Let f be h(-2). Let r(d) = f*d**2 - 9*d**2 - 24*d**2. Let w(c) = -c**2 - 12. Determine r(w(u)). 2*u**4 + 48*u**2 + 288 Let g(y) be the second derivative of 10*y**3/3 + y. Let t(x) be the third derivative of -x**4/6 + 3310*x**2. Calculate t(g(u)). -80*u Let q(k) = 2*k. Let v(a) = -31*a**2 - 8*a - 2. Let l(o) = 1 - 43*o**2 + 42*o**2 + 8*o - 6*o. Let f(d) = 4*l(d) + v(d). What is q(f(n))? -70*n**2 + 4 Let i(y) = 42*y**2 - 27. Let f(d) = -6*d**2 + 4. Let b be 7/(-7)*-2*2. Suppose -1 + 433 = 16*m. Let n(h) = b*i(h) + m*f(h). Let a(s) = 4*s. Determine n(a(l)). 96*l**2 Let z(q) be the first derivative of -q**2 - 202*q - 40. Let m(w) = -4*w. Give m(z(c)). 8*c + 808 Let o(r) = -383*r + 1. Let h(x) = 14723*x + 1. Determine h(o(t)). -5638909*t + 14724 Let g(q) = -3066*q. Let y(m) = 7*m + 5. Let j(l) = 6*l + 4. Let b(i) = -5*j(i) + 4*y(i). What is b(g(r))? 6132*r Let y(u) = -3 - 6*u + 3 + 11*u. Let i(z) be the first derivative of 0*z + 1/3*z**3 + 0*z**2 - 2. Give y(i(d)). 5*d**2 Let q(o) = -113*o**2. Let w(f) = 7381 - 47*f - 14769 + 7388. Calculate w(q(r)). 5311*r**2 Let p(i) be the second derivative of 415*i**3/3 + 12074*i. Let s(h) = -h. What is s(p(o))? -830*o Suppose 3936 = 2*b + 3904. Let i(j) be the first derivative of b + 0*j - 43/2*j**2. Let a(q) = -q. Give i(a(c)). 43*c Let f(w) = -73*w. Let u(g) = 2*g + 48090. Give f(u(m)). -146*m - 3510570 Let b(c) be the second derivative of -c**3 - c. Suppose 18 = 2*d - 2*q, -30 = -2*d - q - 0*q. Let k(o) = d*o + 18*o - 33*o. Give k(b(s)). 12*s Let j(b) = -22035*b. Let x(v) = -110*v**2. Calculate j(x(k)). 2423850*k**2 Suppose -18 = -4*a - 2*m, 4*a - 4*m = -9 - 3. Suppose -d - 2 = -4*v + 12, 0 = -a*d + v. Let g(b) = -21*b**d - 557*b + 557*b. Let y(i) = i**2. Give g(y(w)). -21*w**4 Let x(u) = -3*u - 71. Let p(k) be the third derivativ
{ "pile_set_name": "DM Mathematics" }
y? 5 Let p = -0.05 - 1.95. Let c = p + 1.9. Let m be (-1 + -1)*4/(-32). Is m equal to c? False Suppose y + 0 + 2 = 0. Suppose 5*z + 6 = 1. Which is smaller: y or z? y Let t be 8/168*(0 - 75*-1). Which is smaller: 2/5 or t? 2/5 Let p be 0/(-3) + 3 - 2. Let o = p - 2. Let w be (-4)/18 - 16/90. Do w and o have the same value? False Let k(m) = m - 3*m + m. Let d be k(-5). Which is bigger: 4 or d? d Let r(f) = -6 - 3 + f - 2*f. Let t(m) = -m - 2. Let g be t(4). Let k be r(g). Which is greater: k or -2? -2 Let r be (0 - (0 - -1)) + 2. Let w(h) = -2*h. Let x be w(1). Let o be (x/(32/6))/3. Which is smaller: o or r? o Let n be 3 + -1 + (4 - -25). Suppose 0 = -4*l + 8*l + 3*a - 24, -4*a + n = 5*l. Suppose -q = -4*b - 22, -1 + 10 = -l*q - 3*b. Do 2 and q have different values? False Let w(l) = -2*l - 31. Let n be w(-13). Is -5 at most n? True Suppose a - 3*a - w = 40, 0 = -a + 2*w - 10. Let o be (-1 - 33/a) + -1. Is 1 at least o? True Suppose 16 = 7*d - 3*d. Suppose -2*s = -d*a - 16, -4*s + 3*a = -0*a - 7. Let b = s + 1. Do b and -1/4 have the same value? False Let g(n) = 4*n**3 - n + 1. Suppose 6 = 5*f + 1. Let i be g(f). Let u(q) = q**2 + 4. Let k be u(0). Is k at least as big as i? True Let c be (-18)/31*(-5)/15. Which is bigger: 0 or c? c Suppose -14 - 8 = -11*a. Which is bigger: a or -3/10? a Let l = 0.87 - 0.07. Let z = 1.12 - 0.3. Let r = z - l. Is r != 1/3? True Let z = 7 + -11. Let j = z - -5. Which is bigger: -0.2 or j? j Let y(x) = -7*x + 21. Let i(o) = -o + 1. Let q(b) = -6*i(b) + y(b). Let t be q(12). Suppose -t*m = m. Which is smaller: m or 2? m Suppose 0 = -3*o + 31 - 7. Is 8 bigger than o? False Let q be 4/(-6)*(-9)/15. Let u = -4 - -8. Let d = -3 + u. Which is bigger: d or q? d Suppose 3*w + w + 14 = 3*y, -4*w = 8. Is 24 < y? False Suppose -4*q = 4*r - 1400, q = -5*r + 320 + 1442. Let j = 1759/5 - r. Let l = -1 - -1. Which is smaller: j or l? j Let l = 2 + -2. Suppose -a + l*a = 5. Is a at most as big as -6? False Let w(h) = h**3 + 2*h**2 - 3*h - 3. Let g be w(-2). Let k be (3/27)/(1/g). Let t = -3 - -3.2. Which is smaller: k or t? t Let i = -12 - -14.6. Let d = 0.4 + i. Suppose 3*y + 3*f + 1 = -2*y, -4*f = 8. Is d at most y? False Let d be ((-2)/(-7))/((-99)/(-77)). Is 2 smaller than d? False Let j = -10 - -5. Let a(o) = o + 1. Let d(c) = 2*c - 1. Let g(v) = 3*a(v) - d(v). Let m be g(j). Which is smaller: -2 or m? -2 Let g(z) = z + 3. Let u be g(-3). Let i = -11 - -14. Suppose u = -4*s + 7 - i. Which is bigger: -1 or s? s Let i = -3 + 5. Suppose -i*x = -7 + 3. Which is smaller: x or -1? -1 Let s = 0.89 - -0.21. Let g = -0.1 + s. Are g and 2/3 nonequal? True Suppose m + 4*m = -15. Let k be (2/m)/(2/(-5)). Which is bigger: k or 1? k Let u(l) = -67*l**3 - 3*l**2 - l + 2. Let q be u(1). Is q < -68? True Let a be 4/(-12) + 4/3. Let o be (-20)/30 + a/(-3). Which is greater: o or -2/13? -2/13 Let r(z) = z**3 - 4*z**2 + z + 7. Let m be r(3). Is m bigger than 2/13? True Let r(g) = -g**2 - 7*g + 5. Let b be r(-7). Suppose -18 = 2*q - 0*v + 4*v, 3*q + b*v + 23 = 0. Is q > -2/5? False Suppose 2*f = 3*f. Suppose -3*l - 5*r + 15 = f, -5*l + r - 3*r = -25. Let m be (-14)/40 + (-2)/l. Is m less than -1? False Suppose -4*w + 0*d = -5*d + 4, w = -2*d - 1. Are 1/7 and w unequal? True Let k be 9/1 + 0 - 1. Suppose 0 = -4*o + 9 + 35. Let b = o - k. Is b smaller than 2? False Let k = 0.018 + 4.982. Let n = 0 - 0. Let p = 0.2 - n. Is k at most p? False Let s = 194.45 + -194. Is 0.1 greater than or equal to s? False Let a be 4/((-48)/(-2)) + (-249)/(-126). Is 1 greater than or equal to a? False Let m be (2 - 1)*(-7 - -7). Suppose -2*s = 3*v + 17, 4*v + 5*s + 0*s + 18 = m. Does v = -8? False Let v be 2 - 3*(-992)/(-1500). Which is greater: 2/3 or v? 2/3 Let p(j) = -j**2 - 10*j - 8. Let t be p(-8). Let d = t - 6. Which is bigger: 0 or d? d Suppose h = 5*i + 3*h + 1, 5*i = -5*h + 5. Is i > -16/7? True Let f = 1481/7 - 212. Which is smaller: f or 2? f Let b = 9 - 9.8. Let t = 0.7 + b. Let l = 0 - -1. Which is smaller: l or t? t Suppose -3*s + 2*s - a = 2, a - 7 = 2*s. Is s greater than -7/4? False Suppose 3 = 3*s, s = -5*n - 11 - 3. Which is smaller: -24/7 or n? -24/7 Let h be 4 + 0 + (-1 - 0). Suppose -3*v - h = 3. Let g(o) = o**2 + 4*o. Let y be g(v). Is y < -4? False Let l = 2 - -2. Let m(k) = -k + 7. Let c be m(10). Let q be 3/9 + l/c. Is -3 smaller than q? True Let p = 103 - 1132/11. Is 0 <= p? True Let z be (-511)/2*-2*-1. Let w = 5625/11 + z. Which is smaller: w or 1? w Let h = -0.18 + 0.08. Are -0.04 and h equal? False Suppose w + 4 = -3*w. Is w at least as big as -1/13? False Let u be 4/(-6)*(-135)/(-18). Let r = u + 3. Let z(d) = -d**3 - 4*d**2 - 4*d - 2. Let f be z(r). Which is greater: -7/5 or f? -7/5 Let m be (-1)/(-5) - 9*(-5)/50. Which is smaller: 0 or m? 0 Let g = -185/2 - -101. Which is smaller: g or 9? g Let t(x) = -3*x**2 + 2*x - 3. Let d be t(3). Let n be 2*(-2)/d*2. Are 1 and n equal? False Let q = -2 - -3. Suppose -3*u + 4*u + q = 0. Suppose -2 = 11*t - 13. Which is greater: u or t? t Let h be (-4 + 6)/2 + 1. Which is smaller: -3 or h? -3 Let z = -44 + 39.6. Let g = -4 - z. Let k = -0.3 + g. Is 0 > k? False Let f = 5 + -3. Let g = -3 + f. Suppose 29 = 4*n - 0*b + 5*b, -4*n = -4*b + 16. Which is smaller: n or g? g Let r be (26/5)/(2/(6 + 4)). Are 27 and r unequal? True Let z(x) = x**3 + x**2 - x. Let s(m) = 3*m**3 - m**2 + 1. Let w(t) = -s(t) + 2*z(t). Let i be w(2). Let p = -3/4 - i. Is -0.1 > p? False Let k(g) = -g + 9. Let o be k(6). Suppose 0 = 5*n + 4*i, -o*n + 3*i - 37 = -2*i. Is n >= -4? True Let g be 6 + -8 + 1*119. Let v = g + -459/4. Is v < 2? False Suppose 0 = u + 5*t - 23, -3*u + 0 = t + 1. Is u at most as big as 0? True Suppose -60 = 5*a - 0. Which is smaller: a or -13? -13 Let b = 5 + 0. Suppose b*k = -0*k - 25. Let v = 1 + k. Is v less than -5? False Let b(x) = x - 1. Let n(z) = z**2 - 9*z - 4. Let w be n(9). Let m(o) = -o**3 - 5*o**2 - 5*o + 1. Let k be m(w). Let c be b(k). Do 4 and c have the same value? True Let k(g) = g - 2. Let t be k(3). Suppose -2*l = 5*d + 11, l + 0*d - d = 5. Is t greater than or equal to l? False Let k = 5.08 - 0.08. Let x = k + -7. Is 0 < x? False Let v = 53 - 68. Which is bigger: v or 1? 1 Let g(o) = o**3 + 4*o**2 - 4*o + 4. Let z be g(-5). Which is greater: 1 or z? 1 Let u be (-66)/36 - (-5)/2. Which is smaller: u or 1? u Suppose 5*m - 15 = -f, 0 = -4*m + m - f + 11. Suppose 4*o + 5*j + 75 = 0, 4*j - 30 - 74 = 5*o. Let t be 2/(-10) + (-9)/o. Which is bigger: t or m? m Let y = 18 + -20. Is y > -1? False Let n(u) = -u**3 + 3*u + 3. Let f(c) = -c**2 + 2*c - 2. Let o be f(2). Let l be n(o). Suppose -l*j = 13 - 3. Is j >= -2? True Let j = 5 + -2. Suppose -j*p - 18 = -p. Let n be 32/(-36) - 2/p. Is n < -3/2? False Let l be (-6)/3 + 6 + 2. Suppose -9*h = -l*h. Which is greater: h or -2/25? h Suppose 4*x - 4 = -3*i - 10, 2*i - x = 7. Let u = -10.3 + 11. Let j = u + 0.3. Which is greater: i or j? i Let x be -10*(-2)/(1/(-1)). Let o be ((-4)/5)/(8/x). Is o > 1? True Let i(w) = 11*w**2 + w. Let f be i(-1). Is 9 smaller than f? True Let r = 20 + -22. Are -2 and r nonequal? False Let c be (-12)/(-10) - 4/20. Suppose 0 = 5*t - t. Suppose t = 2*l + l. Which is bigger: l or c? c Let s = 1/275 + 3293/1925. Which is greater: 3 or s? 3 Let k = 0.05 - 0.1. Let t = k - -0.35. Is 0 less than t? True Let a = -8 + 11. Let k = -3 + a. Is k equal to -1/3? False Let g = -2.89 + -0.11. Which is bigger: g or -1? -1 Let z be (-4)/((-5)/3 - -2). Let r be z/(-4) - 2/1. Is -3/8 not equal to r? True Let k(v) = -v**3 - 3*v - 1. Let i be k(0). Let r be -1 + (-2)/5 + 1. Which is smaller: r or i? i Let x be (1 + 0)*(-54)/9. Let o be (x - -8)*(-2)/4. Are o and -1/2 unequal? True Suppose 2*o + 0*o = 0. Suppose -2*q + 4*f + 2 - 8 = 0, o = 4*q - 2*f + 6. Is -2 smaller than q? True Let j = 1 - 0. Which is smaller: -0.6 or j? -0.6 Let m be (-4)/(-3)*(-8 - -5). Let l be (7/m)/(5/20). Is l bigger than -7? False Let u be 4104/(-2070) - (-1 - 1). Is -1 < u? True Suppose 38 = 5*d - 2*n - 0*n, 5*d - 3*n = 42. Suppose -z - d - 2 = 0. Is z less than -7? True Let w = -3.4 + 3. Let d = w + -0.9. Let p = d + 0.3. Is p at least as big as 1/2? False Suppose -5*k - 3*y - 2 = -62, -k - 3*y = 0. Let f be ((-4)/(-5))/(6/k). Is 0 less than f? True Let z
{ "pile_set_name": "DM Mathematics" }
housands digit of q? 8 Let c = 19459 - 13178. What is the thousands digit of c? 6 Suppose -3*n + 214 = 4*i, -2*n - 3*i = -4*n + 137. What is the tens digit of n? 7 Suppose 36 = -4*u, -18*v + 19*v - 53664 = 3*u. What is the thousands digit of v? 3 Suppose -4*j = 3*j - 14. Suppose -4*a - c + 13 = 0, j = -0*a + 2*a + 2*c. Suppose -3*t = 4*p - t - 6, 0 = -4*p + a*t + 24. What is the units digit of p? 3 Let g = -261 - -618. Let l = g + -33. What is the units digit of l? 4 Let s(a) = a**3 + 19*a**2 - 26*a - 108. Suppose 5*n = 3*o + 40, 5*n + 12 = 2*n. What is the units digit of s(o)? 2 Let w(b) = 13*b**3 - 8*b**2 - 10*b + 126. What is the hundreds digit of w(7)? 1 Suppose 0 = -w - 0*w + f, f = -5*w + 30. Suppose 2*b - w*c - 479 = 0, -b - 721 = -4*b + 5*c. What is the hundreds digit of b? 2 Let f = -4319 - -7964. What is the hundreds digit of f? 6 Suppose 896 = -8332*g + 8340*g. Suppose m - 8 = -0. Suppose 6*s - m*s = -g. What is the tens digit of s? 5 Let y = 33 + -32. Suppose -5*r + 3*o = y, -4*r - 9 = -3*r - 5*o. What is the units digit of -120*(r + (-12)/8)? 0 Let g be -51*(-35)/14*80/6. Let v = g - 583. What is the thousands digit of v? 1 Suppose 6*i + u = 10*i - 9687, 5*u = 5*i - 12120. Suppose -w = 7*p - 3*p - i, -3*w + 3021 = 5*p. What is the tens digit of p? 0 Let h(v) be the second derivative of v**3/6 + 9*v**2 + 26*v. Let f be h(-14). Suppose f*i - 97 - 355 = 0. What is the units digit of i? 3 Let i be -33 + 32 + (440 - 0). Suppose -7*u = -i - 1871. What is the tens digit of u? 3 Let l(b) = b**3 - 3*b**2 - 7*b + 1. Let j = 32 + -18. Let d = j - 8. What is the units digit of l(d)? 7 Let s = 33870 + -18626. What is the units digit of s? 4 Let i = -16 - -13. Let j be i - (17 + -5)/(-4). Suppose j = 11*g - 10*g - 170. What is the units digit of g? 0 Suppose 4*h = 5*i + 41050, -16671 = -2*h - 3*i + 3865. What is the ten thousands digit of h? 1 Let g(t) = -8*t - 52. Let s be g(-7). Suppose -19*h + 6785 = s*h. What is the hundreds digit of h? 2 Let w(i) be the third derivative of -1/30*i**5 - 1/120*i**6 + 0 + 7*i**2 + 5/6*i**3 + 0*i + 7/24*i**4. What is the units digit of w(-6)? 7 Suppose -2*p = -p + f + 210, 0 = p + 2*f + 206. Let i = -130 - p. What is the tens digit of i? 8 Suppose 11 = 4*j - 1. Suppose -5*b - p + 0*p + 691 = 0, -2*b + 290 = -j*p. Suppose b - 51 = 4*r. What is the units digit of r? 2 Let x(y) = 268*y**2 - 4*y + 3. Let m be x(1). Suppose 4*d + m + 687 = 2*i, -2373 = -5*i - 2*d. What is the tens digit of i? 7 Suppose a - 37 = -5*i + 2*i, 25 = -5*a. Suppose m = -i*v + 18*v - 5852, v - m - 1463 = 0. What is the thousands digit of v? 1 Suppose 0 = -4*n + 16*n - 696. Suppose h = 5*k, 0 = 4*h + 3*k - n - 57. What is the tens digit of h? 2 Let q = -23 - -27. Let f be 1*q*(-18)/(-8). Let i(s) = 3*s**2 - 15*s + 34. What is the hundreds digit of i(f)? 1 Suppose 1689093 = -3346*o + 3367*o. What is the tens digit of o? 3 Let a = 142 - 140. Suppose -4*v - 3*j + 43 = 0, 35 = a*v + 2*v - 5*j. What is the tens digit of (5 - v)/(-30)*1374? 2 Suppose -4*w - b + 197432 = 0, 250*w - 98694 = 248*w + 5*b. What is the units digit of w? 7 Let o(y) = 164*y + 3942. What is the hundreds digit of o(49)? 9 Let t(m) = 1226*m + 1238. What is the thousands digit of t(14)? 8 Let y = -14 - 57. Let p = y - -921. What is the units digit of p? 0 Suppose -5*w + 6*w = -4*t - 10, -4*t + 14 = 5*w. Suppose -16*x = w*x - 17666. What is the hundreds digit of x? 8 Suppose 3*z + d + 2092 = 0, -6*d = 2*z - 3*d + 1390. What is the hundreds digit of (-12)/24 - z*(-2)/(-8)? 1 Let f = 20 - 30. Let p be (-54)/f + (-22)/55. What is the units digit of 39 - p/10*0? 9 Suppose 14*f - 165 = 9*f - 5*j, -91 = -3*f - 5*j. Suppose -36*z - 1945 = -f*z. What is the thousands digit of z? 1 Suppose 2*v + 2*u - 158 = 0, 3*v + 4*u = 3*u + 231. Suppose -216*b + 221*b + 2*z = 530, 188 = 2*b - 4*z. Let h = b - v. What is the units digit of h? 8 Let u = 54 - 61. What is the tens digit of u/14*3*644/(-3)? 2 Suppose -4*j + 4*i + 21448 = 0, -5*j - 6*i - 16083 = -8*j. What is the tens digit of j? 6 Let u(b) be the third derivative of b**6/180 + 5*b**4/12 + 2*b**3 + 4*b**2. Let o(j) be the first derivative of u(j). What is the units digit of o(5)? 0 Let w(q) = -12*q**2 + 15*q + 57. Let n be w(-3). What is the tens digit of (n/(-60))/(-1 - (-438)/435)? 3 Suppose 3*y - 9 = 0, x + y + 4*y = 17. Suppose -2*u + 8 = -x*q, 4*u + 4*q - 8 = -0. Suppose u*j = 6, 5*j - 92 = -2*z + 222. What is the units digit of z? 2 Let n(p) = p**2 + 20*p + 13. Let o be n(-12). Let c = -80 - o. Suppose 6*j - 489 = c*j. What is the hundreds digit of j? 1 Suppose 0 = j - 4, 0*j = o + 5*j - 17. Let x(v) = -42*v - 7. Let d be x(o). Suppose -2*z - 52 = -2*u, -4*u - 2*z = -z - d. What is the tens digit of u? 2 Let t be (0/(-1) - 3)*35/(-21). Suppose -t*f = 2*a - 3197 - 1163, 3*a = -2*f + 1755. What is the units digit of f? 0 Let b be (-170)/(-45) + -4 + 291/(-27). What is the units digit of b + 17 + 2/1? 8 Let k = 31811 - 20748. Suppose 19*d - 6*d - k = 0. What is the hundreds digit of d? 8 Suppose -5*k - 5*m + 58660 = 0, -4*k + 139*m + 46964 = 137*m. What is the ten thousands digit of k? 1 Let w(i) = 8*i + 27. Let u(h) be the first derivative of 7*h**2/2 + 27*h - 5. Let r(b) = 7*u(b) - 6*w(b). What is the units digit of r(13)? 0 Suppose -152 = -5*x - 2*i + 342, 3*x - 3*i - 288 = 0. What is the tens digit of (-48829)/(-154) - 7/x? 1 Suppose p + 20226 = 7*x, 2*x + 2*p + 5784 = 4*x. What is the units digit of x? 9 Let w be 184*(-10)/(120/(-99)). Suppose -22*g + 25*g = w. What is the tens digit of g? 0 Let a(x) = x + 18. Let p be a(-6). Suppose 7*s - 26 = -p. Suppose 4*g = -5*i + 277, -g - i = -s - 68. What is the tens digit of g? 7 Let g(w) = -2679*w - 7676. What is the tens digit of g(-6)? 9 Let h(o) = 9*o**2 + 37*o + 298. What is the thousands digit of h(-16)? 2 Let y(h) = 101*h**2 - 147*h + 600. What is the thousands digit of y(4)? 1 Suppose -16*x + 102944 = 28384. What is the units digit of (((-186)/(-155))/(3/x))/2? 2 Let j be -1 + ((-2)/8 - 89040/(-64)). Suppose 0 = 5*p + 5*d - j, p + 15*d - 10*d - 278 = 0. What is the units digit of p? 8 Let y(b) = 3182*b + 646. What is the thousands digit of y(4)? 3 Let u be -5 + 2*(-2)/4. What is the units digit of (-171)/u*(-28)/(-6)? 3 Suppose 5*v + 11 = 4*f + 129, f - 64 = -3*v. Suppose -5*j = 5*y - 0*j - 50, 3*y - v = -j. What is the units digit of (21/2*(-4)/y)/(-1)? 7 Suppose -2*l = 7*p - 4*p - 23262, -3*l = -0*l. What is the tens digit of p? 5 Let b(u) = 13*u**3 - 15*u**2 + 77*u - 10. What is the units digit of b(7)? 3 Let w(d) = -6 - 31 + 5 - 3*d + 1. Suppose -h = 3*k + 42, -3*k + 70 = -8*k - 2*h. What is the tens digit of w(k)? 1 Let g(a) = -5*a**2 - 16*a + 43. Let o be g(8). What is the units digit of (o/135)/(145/146 - 1)? 8 Let f = 6 - 4. What is the tens digit of (f*1/(-2))/((-2)/50)? 2 Let q(d) be the second derivative of -9*d**3/2 - 157*d**2/2 + 29*d - 1. What is the units digit of q(-13)? 4 Suppose 0*z + 12*z - 67704 = 0. Suppose 18*v - z = 12700. What is the tens digit of v? 1 Let q be 1 - 1 - (-1 - -6)*-1. Suppose 2955 - 674 = 3*n + q*s, 3064 = 4*n + s. What is the units digit of n? 7 Let y(f) = f**3 - 7*f**2 - 8*f - 1. Let l be (1 - 0)/((-1)/(-8)). Let d be y(l). What is the tens digit of 2*d + 1 + 85? 8 Let t(p) = 13*p + 7 + 16 + 126*p**2 - 21. Let j be t(4). What is the hundreds digit of (j/(-25))/6*(0 + -15)? 2 Suppose -o + 336 = s, -3*s + 0*s + 1006 = o. Let r = 712 - s. What is the hundreds digit of r? 3 Let u = 32 + -32. Suppose u*s - s = -4*s. Let r(t) = -t**3 + t**2 + t + 152. What is the tens digit of r(s)? 5 Suppose 2*l = -0*l. Suppose l = 4*m + 12, -2*u - 186 = u - 3*m. Let h = u - -105. What is the tens digit of h? 4 Let w(u) = -u**3 + u**2 - u - 16. Let x be w(0). Let l be (-7)/2*x/28. Suppose -3*s + 95 = -j, -5*s + 4*j = -l*s - 92. What is the tens digit of s? 3 Suppose 2*x - 2*h - 5677 = -3*h, 5*h - 15 = 0. Suppose 7*k - 320 - x = 0. What is the units digit of k? 1 Let z = 62 + -77. Let b = z - -613. What is the hundreds digit of b? 5 Let h(u) = -u**3 + 21*u**2 - 18*u + 50. Let o be h(17). Suppose 15*k - 3165 = -o. What is the hundreds digit of k? 1 Let d = -52 - -60. Let c(y) = -y**3 + 9*y**2 - 15. Let s be c(d). Let l = -44 + s. What is the units digit of
{ "pile_set_name": "DM Mathematics" }
+ 4*q = 5*o + 5. Which is smaller: 3 or q? q Let y be (-2)/(-8) + (-3)/44. Let k = -9 + 6. Let u be 1 + -1*(-2 - k). Which is smaller: y or u? u Suppose 12 = -2*d - 2*d. Let b be (-2)/6 - (-10)/3. Let k = b + d. Is k <= 2/5? True Let x(y) = 2*y**2 + y - 1. Let p be x(-2). Is p at least 7? False Suppose 0 = 7*j + 36 + 27. Is j <= -8? True Let a be -2 + 0 + (-1 - 0). Let d be ((-4)/(-12))/((-2)/(-36)). Let l = d - 10. Which is bigger: l or a? a Let v(q) = q**3 - 4*q**2 + 5*q - 3. Let j be v(2). Is j greater than -1? False Let w = -9/1013 - -5257/363667. Which is greater: -1 or w? w Let g = 780/43859 - 1/719. Which is greater: 1 or g? 1 Let q = -2.9 + 3. Let f be (-4)/(-6)*(4 + 2). Are q and f equal? False Let p = 25 + 35. Let n be (-2)/(-8) + 9/p. Which is greater: n or -0.02? n Let l be ((-12)/(-8))/((-6)/68). Is -19 less than l? True Let d be 0 + -8*(-6)/4. Let w = d - 7. Let n = 5 - w. Is -2/7 <= n? True Let r be (-40)/(-36) - (0 + 1). Let v be 6*((-12)/(-9) + -1). Is v greater than r? True Let p(w) = w + 13. Let o be p(-10). Let r be (o/(-4))/(6/2). Is r bigger than -2/5? True Let r = 113 + -112. Is -1 greater than or equal to r? False Suppose 0 = -3*k + 52 + 8. Which is greater: k or 19? k Let b be (-2)/(-2) - -1 - (-24 - 4). Does b = 30? True Suppose f + a - 7 = 0, 4*f - 25 - 5 = -5*a. Suppose -x - 5*k + 20 = x, f*x - 2*k + 8 = 0. Suppose 0 = 4*w - x + 4. Are w and -1 non-equal? False Let g = 7 - 7. Let n be 10/35 + 30/(-56). Which is bigger: g or n? g Let l(q) = -q**3 + q**2 + q + 1. Suppose -5*r = -r. Let b be l(r). Is b at most 5? True Let h = 1112/15 + -439/5. Is -13 not equal to h? True Let t be (2/(-5))/((-1)/(-1)). Suppose 111 = -2*d - 5*f, 4*f + 18 - 6 = 0. Let b be 1/((-22)/d) - 2. Which is greater: b or t? b Let m be (-1)/(-2) - (-9)/2. Let x be ((-4)/m)/(12/30). Let j = 4 - 3.9. Are j and x equal? False Let n(g) = -g**2 - 5*g - 1. Let i be n(-4). Let b be -1 - i/(-6)*-2. Let v be (-76)/(-18) + -2 + b. Does 1 = v? False Let j = 1.8 - 2. Are 8 and j unequal? True Let u be (-27)/(1/((-8)/6)). Suppose -2*v + u = 2*i, -5*v + 58 = 4*i - 14. Suppose a + 5 = -4*k, k + i = -4*a - 2. Is a at least -5? True Let d = -4 - -3.3. Let n = -1.7 - d. Is -1/6 less than n? False Let p = -9.14 + 0.14. Let f = 14 + p. Let k = 5.2 - f. Which is greater: 1 or k? 1 Let w be -2 - 1*9/(-6). Which is smaller: -1 or w? -1 Let c = -2 - -5.2. Is c >= 1? True Let f be (1/1 + -1)/(-2). Let b be 6/(-4) + ((-22)/(-12))/1. Which is smaller: b or f? f Let i = -0.12 - -0.09. Let f = i - 0.47. Is f greater than or equal to 0.1? False Suppose 5*a - 21 + 6 = 0. Let m(l) = 2*l - 14. Let h be m(5). Let p be -1*((-7)/1 - h). Is p at least a? True Let r be 3*((-7)/3 + 1). Let g = -31 + 27. Is g less than or equal to r? True Let s be 1/4 + (-18)/8. Let m(r) = r**3 + 5*r**2 - 6*r. Let q be m(-6). Is s <= q? True Let v(k) = -k - 7. Let t be v(-5). Suppose -2*c + 3*a = 6, -2*c + a = 1 - 3. Let m be c/t - (-22)/12. Is m less than or equal to 1? True Let w be 18/(-12) + 0 + 75/(-2). Is -39 < w? False Let k = 34 - 66. Let a be k/(-6)*12/(-104). Is -2 equal to a? False Let q = 0.03 - -0.01. Let h = q - 0.09. Let a = h - -2.05. Which is bigger: a or 0.3? a Let n = 0 + -4. Let t = -6 - n. Is t bigger than 1? False Let h = -32 - -50. Let t = h + -9. Is t at most -1? False Let w = -53/6 + 22/3. Suppose -4*n = v - 2 + 8, 3*v - 10 = 2*n. Suppose 5*r + 4*h + 11 = 0, 2*r + 5*h - h = -v. Does r = w? False Suppose 3*v = -1 + 10. Are v and 1 nonequal? True Suppose 4*d - 5*m - 20 = -0*d, -4*m + 10 = 2*d. Which is smaller: d or 9? d Suppose 0 = 4*p + p. Suppose -4*j + 4*i - 8 = p, 5*j - 3*i = i - 8. Is j bigger than 0? False Let a = -3477/50 - -1728/25. Let l = a - -8/25. Is 1 at least l? True Let c(z) = 5 - 3*z + 5*z - 3 - 4. Let k be c(2). Which is bigger: 12/11 or k? k Let f = -49 - -33. Let o be 8/(-12) + f/(-6). Is 1/7 greater than or equal to o? False Let b(v) = -v**3. Let t be b(1). Let q be (t - -1)*(-3 - -2). Is 2/5 smaller than q? False Let o(u) = -u - 9. Let z be o(-9). Suppose 5*w - 4 - 6 = z. Let t be (3 - 4)/(-1 + w). Is -2 at most as big as t? True Let p = 69 + -37. Let n be p/(-6) - 2/3. Let r be (-9)/n*1/(-12). Is 1 greater than r? True Let t be -4 - -939*8/1884. Which is smaller: t or 0? t Suppose 7*i = 21*i + 392. Which is smaller: i or -27? i Suppose 0 = -u - 0 + 1. Let x = 22 + -43/2. Which is greater: u or x? u Suppose 2*q + 4 = d, -4*q - q = -2*d + 10. Let h be ((-4)/8)/(q/4). Let a = h - 1. Which is greater: -3 or a? a Let s = 29.2 - 5.2. Let i = -32 + s. Which is smaller: i or 0? i Suppose -o = d + 3*d - 1, 5*o = 5*d + 5. Suppose 6 + 10 = -2*n. Let a be (-2)/n + (-5)/52. Is a at most as big as d? False Suppose -8 = -13*t - 86. Which is bigger: -2 or t? -2 Let h = 8 - 2. Suppose 2*n = x + h*n - 8, 4*n - 8 = -2*x. Let z = -1 - x. Is z at most as big as -1? True Suppose 13*b - 5*c = 18*b + 635, -b = -2*c + 136. Do -131 and b have the same value? False Suppose 2*o + 0 = 10. Suppose o*l - 20 + 5 = 0. Which is smaller: l or 5? l Let y = 2.02 + -0.02. Let z = 1 - y. Let c = 6 - 6. Which is greater: z or c? c Let w = -8 + 5. Let p be -3 + (2 - 0 - -46). Let x be (-18)/p*1*5. Is x greater than w? True Let g = -0.2 + 0.2. Let u = 0.2 + g. Let x = -6 - -4. Are u and x equal? False Let r = -6816 + 95513/14. Let x = 271 - 529/2. Let n = x - r. Which is bigger: n or -1? n Suppose -o + 2*o = -10. Let s(w) = -4*w**2 - 11*w - 8. Let z(k) = 5*k**2 + 11*k + 8. Let j(b) = -4*s(b) - 3*z(b). Let a be j(o). Is -2 less than or equal to a? True Let a = -8 - -5. Let g = a - 3. Let b = 5 + g. Is b less than -0.1? True Let k(x) = x**3 + 10*x**2 + 9*x - 3. Let d be k(-9). Let q(a) = 3*a. Let t be q(-1). Is t <= d? True Suppose -4*r - 2 = 30. Which is bigger: -3 or r? -3 Let g = 8 + -39/5. Which is bigger: -2 or g? g Let p = 160 - 195. Is p less than -0.1? True Let v = 0.09 + -0.39. Is 9 < v? False Let t(c) = 2*c**3 - 4*c**2 + 3*c - 1. Let v be t(2). Suppose -22 = v*p + 23. Is p > -9? False Let f be 2/(-5) - 2/(-5). Let i be (-2)/8 - 18/24. Which is greater: i or f? f Let p = -9 + 11. Let u = p - -1. Suppose u*a + 2*a = 10. Which is greater: a or 0? a Let y = 50 - 28. Are 22 and y equal? True Suppose 6*x + 5 = x. Is x equal to 9? False Let w = 26 - 44. Let v be (-30)/(-4) + w/(-12). Are v and 1 equal? False Let d(x) = 4*x**2 - 2*x + 1. Let w be d(-2). Let p be (2 + w/(-9))*-3. Is 1 <= p? True Let r = 4.36 - -0.74. Let a = r - 5. Let i be 3/12 + (-18)/8. Which is smaller: i or a? i Let l(b) = -2846*b**2 - 5*b + 5. Let x be l(-5). Let d = -639173/9 - x. Let c = d + -101. Which is smaller: c or 0? c Let s = 0.25 - 0.35. Which is smaller: s or 4? s Suppose 3*o - 4 = -o. Let w = 3597/26 + -277/2. Which is bigger: o or w? o Suppose -5*z = 11*z + 304. Is z greater than -17? False Suppose 3*v = 32 + 103. Let d be (1 - 0) + (-40)/v. Let t be (2/(-3))/(6/(-9)). Which is bigger: d or t? t Let o(j) = j. Let w be o(-3). Let q = -4 - -6. Is q equal to w? False Suppose u - 1 = 2*u. Let l be (-5 + 3)/(u - 8). Let r = -1.5 - -1.2. Is l < r? False Let b = 1 + -1. Let q = -0.3 - -1.3. Let l = q + -0.9. Are l and b unequal? True Let b = -41 + 41.1. Which is smaller: -0.19 or b? -0.19 Let i = 3/91 + -1201/546. Which is smaller: -3 or i? -3 Let z be (27/18)/(3/4). Let a be 2/(-9) + 6/27. Suppose x - 5*j + 9 = a, -3*j = z*x - 6*j - 3. Which is smaller: 4 or x? 4 Let r = -6042 - -3598. Let w be r/(-30)*10/(-48). Let y = w + 67/4. Which is bigger: y or 0? 0 Suppose -9 = c - 22. Which is smaller: c or 14? c Suppose -2*q = -2*g + 2*q, 5*g = q. Let y = 304 + -6994/23. Which is smaller: y or g? y Let p(j) = -2*j + 10. Let i be p(0). Are i and 34/3 non-equal? True Let m(p) = -p**2 + 2*p. Let x = 14 - 13. Let g be m(x). Which is greater: 1/4 or g? g Let w(f) = 6*f + 1. Let b be w(-1). Let z = 0 - b. Which is smaller: 1 or z? 1 Let p be (-2 - -3 - 1) + 0. Let t = p + 0. Let s = 5 + -7. Which is greater: s or t? t Let w be ((-5)/7)/((-18)/(-7)). Is w < 1? True Let m = -6.8 - -8.8. Let u(y) = -y. Let b(z) = 3*z - 2. Let o(q) = b(q) + 4*u(q). Let s be o(-2). Which is smaller: s or m? s Let b be 4/(-20) - (-7881)/(-18). Let r = b + 438. Which is smaller: -1 or r? -1 Let w be (-32)/6*15/(-10). Let z = -6 + w. Let l be 2*(z/(-2))
{ "pile_set_name": "DM Mathematics" }
*p**2 + 1008*o*p**2 + 1915483*p**6 wrt p? 120*o**3*p**2 + 229857960*p**3 Differentiate i*q**3 + 2*i*q**2 + 13237*i - 1306147*q - 126 with respect to q. 3*i*q**2 + 4*i*q - 1306147 What is the second derivative of -8814265*f**5 + 29*f - 139684 wrt f? -176285300*f**3 Differentiate 7379996*j**2*q + 136859871*j**2 - 2*j*q - 4*q wrt q. 7379996*j**2 - 2*j - 4 What is the derivative of -978*p**2*u**2 + 19*p**2*y**2 - p**2*y + 273*p*y**2 + 10*p + 529*u**2*y**2 - 8*y**2 wrt u? -1956*p**2*u + 1058*u*y**2 Differentiate 40656558*d + 5217509 wrt d. 40656558 What is the second derivative of -4244*j**2*k**2 + 566*j**2*k - 1785*j**2 + 1621*j*k**2 + 15*j*k + 2*k**2 wrt k? -8488*j**2 + 3242*j + 4 What is the third derivative of 15718174*b**3 + b**2 + 330*b + 23241 wrt b? 94309044 Differentiate 119397808*j - 85886290 wrt j. 119397808 Differentiate -313*j*q**2 - 20542895*j - 9865*q**2 with respect to q. -626*j*q - 19730*q What is the second derivative of 1713000*a**3 + 24*a - 16714? 10278000*a Find the first derivative of -329*k*t**4 - 23242*k*t**2 - 577859514*k - 1 wrt t. -1316*k*t**3 - 46484*k*t What is the third derivative of -4931861*n**5 - 6*n**4 - n**2 - 185180397? -295911660*n**2 - 144*n Find the first derivative of 4*a**4 + 43518*a**3 + 2*a**2 + 4427890. 16*a**3 + 130554*a**2 + 4*a What is the third derivative of -7254208*y**3 - 13446*y**2 + 5*y wrt y? -43525248 Find the third derivative of -109175969*c**4 - 29418*c**2 - 288*c + 1 wrt c. -2620223256*c What is the first derivative of 2*a*h**3 + 33532*a*h**2*r + 2173*a*h + 2269*h**3*r + 1642*h wrt r? 33532*a*h**2 + 2269*h**3 What is the derivative of 5573289*v + 10231923 wrt v? 5573289 What is the third derivative of -j**6 - 471118*j**4 + 775*j**2 + 38*j + 26? -120*j**3 - 11306832*j Find the third derivative of -803234194*k**3 - 7*k**2 + 13801478 wrt k. -4819405164 What is the second derivative of -73260436*v**2 - 53168042*v wrt v? -146520872 Differentiate 43782651*f - 1651166. 43782651 What is the second derivative of 63899994*b**2 - 9988*b - 773? 127799988 What is the second derivative of 700812198*a**2*n**3 - 8*a*n**3 - 151*a*n**2 - 66253*n**3 wrt a? 1401624396*n**3 Find the first derivative of 1807*l**2*u*w - 41716*l**2*w - 23928890*u*w + w wrt l. 3614*l*u*w - 83432*l*w Find the first derivative of 13763558*g*j*k**3 + 23*g*k - 187*k**3 + 618 wrt j. 13763558*g*k**3 What is the third derivative of -8384740*d**3 - 37*d**2 + 934*d + 1 wrt d? -50308440 Find the third derivative of 14834032*b**3 - 127368*b**2 - 36. 89004192 What is the third derivative of 322195958*h**6 + 2014*h**2 + 96157 wrt h? 38663514960*h**3 Find the second derivative of 130764349*h**4 - 45464472*h. 1569172188*h**2 Find the first derivative of -11*l**2*u*x**2 + 3*l**2*u + 36*l**2*x + 14*l**2 + 6*l*u*x + 5*l + 2*u + 1903 wrt x. -22*l**2*u*x + 36*l**2 + 6*l*u What is the second derivative of 741600*j**3 + 17*j**2 - 2*j + 18393755? 4449600*j + 34 What is the third derivative of -166*u**4 + 29710*u**3 - 8607212*u**2? -3984*u + 178260 Find the second derivative of 46506752*j**2 + 54187665*j wrt j. 93013504 Find the second derivative of 41973030*l*x**2 + 171*l*x + 5*l + 2687*x wrt x. 83946060*l Find the first derivative of -14663159*q**3*z**2 + 35*z**2 - 341*z + 29 wrt q. -43989477*q**2*z**2 Find the first derivative of -2516*c*q - 461*c - 19076*q + 44673 wrt q. -2516*c - 19076 Differentiate -285860*a*h + 116223138*a - 171*h + 2 with respect to h. -285860*a - 171 Find the third derivative of -68165706*a**3*d**3 - 3*a**3*d + a**2*d**3 - 16280*a**2*d + 4209*d wrt a. -408994236*d**3 - 18*d Find the second derivative of -3284270*v**3 - 119596*v. -19705620*v Find the third derivative of 356351125*s**4 + 27*s**2 + 6457710. 8552427000*s Find the second derivative of 2697*y**4 + 130*y**3 - 5*y**2 + 1516011*y + 4 wrt y. 32364*y**2 + 780*y - 10 What is the third derivative of 3*p**5 - 9174556*p**3 - 145*p**2 - 274383*p wrt p? 180*p**2 - 55047336 Find the second derivative of 2*b**4 - 3*b**3*o + 1256265*b**3 + 110*b*o + 2*b + 2205*o wrt b. 24*b**2 - 18*b*o + 7537590*b What is the first derivative of -85760216*t**2 + 70147569 wrt t? -171520432*t Find the second derivative of -28*g**4 - g**3 + 679299*g**2 - 26*g - 1888272. -336*g**2 - 6*g + 1358598 Differentiate 88*b*d*f**3 + 1140*b*d*f**2*n + 2439*b*f**3*n - b*f**2*n - 28*b*f + 3*b*n - d*n + n wrt d. 88*b*f**3 + 1140*b*f**2*n - n Find the second derivative of j**3 - 9260878*j**2 + 9469220*j. 6*j - 18521756 What is the third derivative of -1088979*d**3 - 3*d**2 - 7675*d - 235? -6533874 Find the third derivative of 8*z**6 + 39*z**5 - 1807*z**4 - 5*z**2 + 2*z + 164236 wrt z. 960*z**3 + 2340*z**2 - 43368*z What is the second derivative of a**2*t**2 + 3655503*a**2*t + 7*a*t**2 + 3*a*t - 11956*t**2 wrt t? 2*a**2 + 14*a - 23912 What is the second derivative of 76816627*c**3 + 83572099*c? 460899762*c Find the first derivative of 586330600*j**2*w + j**2 + 12771615 wrt w. 586330600*j**2 What is the first derivative of -36*g**2*j**3 - 205496*g**2*j + 560*g**2 - 5043*g wrt j? -108*g**2*j**2 - 205496*g**2 What is the second derivative of -188494*x**5 + 15*x - 56435? -3769880*x**3 What is the second derivative of -d**5 + 13411172*d**2 + d - 13506945 wrt d? -20*d**3 + 26822344 What is the second derivative of 3166*f*g**2*n + 206*f*g**2 + 10*f*g*n + 1784*f*n - 4*g**2*n - 38*n - 2 wrt g? 6332*f*n + 412*f - 8*n Find the second derivative of 11539*k**5 - 8*k**3 + 69*k**2 + 402864365*k wrt k. 230780*k**3 - 48*k + 138 What is the second derivative of -68491*l**3*x**3 + 2*l**3*x + 2*l**3 - 350*l**2*x**3 + 2*l**2*x - 4*l**2 + 27*l*x - 237*x wrt x? -410946*l**3*x - 2100*l**2*x What is the second derivative of 2*h**3 - 30712*h**2 + 5844378*h? 12*h - 61424 What is the third derivative of 187948719*v**3*y + 5*v**2*y + 352*v**2 - 4*v*y + y - 4475 wrt v? 1127692314*y Differentiate -83601824*m - 217249641. -83601824 Find the second derivative of -5293002*d**3 - 3*d**2 + 72262562*d wrt d. -31758012*d - 6 What is the derivative of -10272809*q**2 + 13*q + 591749901 wrt q? -20545618*q + 13 What is the first derivative of 2*a**4 - 124*a**3 + 141*a - 19347142 wrt a? 8*a**3 - 372*a**2 + 141 What is the third derivative of 1319*y**5 - 5*y**4 - 10906*y**3 + 1247553*y**2 + 26*y? 79140*y**2 - 120*y - 65436 What is the first derivative of 12893092*a**3 - 19978257? 38679276*a**2 Differentiate 9602796*l - 108603806 with respect to l. 9602796 Find the first derivative of -19*p**3 + 104028*p**2 + 4457217 wrt p. -57*p**2 + 208056*p Differentiate 68860988*f*t**2 + 6*f + 2892722 with respect to t. 137721976*f*t Find the second derivative of -5*l**2*v**2 - 2*l**2*v + 8*l**2 - 44178*l*v**2 - 71496*l*v - 2*l + 11*v**2 + 2 wrt v. -10*l**2 - 88356*l + 22 What is the third derivative of 674*a**5 - 1938*a**4 + 4350317*a**2 wrt a? 40440*a**2 - 46512*a Find the first derivative of -2*f**2*j - 256*f*j - 7907*f - 16126212*j wrt f. -4*f*j - 256*j - 7907 Find the first derivative of 19921711*a**2 + 2527913. 39843422*a Find the second derivative of -13876267*i**3 + 2*i**2 - 47066072*i. -83257602*i + 4 Find the second derivative of -697397*j*o**2*q*t - 6*j*o**2 - 2*j*o*t - 10478*j*o + 12*j*q - j*t + q*t wrt o. -1394794*j*q*t - 12*j Differentiate -1968*a**2*t + 2*a**2 - 8*a*t - 364*a + 2*t - 6053 wrt t. -1968*a**2 - 8*a + 2 Differentiate 487*i**4 + 21151*i**3 + 87473552 wrt i. 1948*i**3 + 63453*i**2 Find the third derivative of -18781481*l**3 - 9560979*l**2 wrt l. -112688886 What is the derivative of -3743224*p**2 - 7455290? -7486448*p Find the first derivative of 11245344*f - 145936298. 11245344 What is the third derivative of -273*r**5 + 4629*r**4 + r**3 + 18585742*r**2? -16380*r**2 + 111096*r + 6 Find the third derivative of 3*f*s**4 + 117945*f*s**3 + 4*f*s**2 - 2*f + 4*s**6 + 2*s**2 - 3002*s wrt s. 72*f*s + 707670*f + 480*s**3 What is the third derivative of 3612494*w**3 - 726594*w**2 - 2? 21674964 Differentiate -6033496*w**2 + 1772156 with respect to w. -12066992*w What is the second derivative of -24579959*i**4 + 2*i**2 - 6*i - 58224893 wrt i? -294959508*i**2 + 4 What is the second derivative of 488*a**5 - 262*a**2 - 39967205*a + 2? 9760*a**3 - 524 Find the second derivative of 8787917*y**3 + 12*y**2 - 75072*y + 1851 wrt y. 52727502*y + 24 Differentiate 14684
{ "pile_set_name": "DM Mathematics" }
*u**3 - 2842*u**2 - 934879 wrt u. -33*u**2 - 5684*u What is the second derivative of -133155*h**3*r**2 - h**3 + 434*h**2 - 22*h*r - 4*r**2 - 5*r wrt r? -266310*h**3 - 8 What is the third derivative of 707*w**6 + 44*w**4 + w**2 - 64000*w - 2 wrt w? 84840*w**3 + 1056*w What is the second derivative of -78468*t**2 - 91996*t wrt t? -156936 What is the derivative of 242*d**2*j**2 - 104*d**2 + d*j**2 + j**2 + 13109*j - 21 wrt d? 484*d*j**2 - 208*d + j**2 Differentiate -6*h**2 - 3388*h - 4929 with respect to h. -12*h - 3388 What is the third derivative of 31095*i**4 + 28*i**3 + 2234*i**2 - 497 wrt i? 746280*i + 168 What is the second derivative of -36006*m**4 + 3*m**2*r**2 - 3649*m*r**2 + 4*m wrt m? -432072*m**2 + 6*r**2 Find the second derivative of 2*q*y**3 + 12*q*y**2 + 178818*q - y**3 + 82*y**2 - 3*y wrt y. 12*q*y + 24*q - 6*y + 164 Find the second derivative of 5*t*x**5 - 1143*t*x**2 + 153691*t + 67*x**3 + 2*x wrt x. 100*t*x**3 - 2286*t + 402*x Find the first derivative of 34781*l**2 - 20732. 69562*l Differentiate 283*c**3 + 5710*c + 5201966 wrt c. 849*c**2 + 5710 Differentiate 171*s*u*z**2 - 4*s*u*z + 2*s - 2*u + 20*z**2 + 361 wrt s. 171*u*z**2 - 4*u*z + 2 Find the first derivative of -32009*r**2 - 215012 wrt r. -64018*r Find the first derivative of -29433*x**3*y - 78724*x**3 wrt y. -29433*x**3 What is the third derivative of 2*i*s**3 + i*s + i - 105854*s**3 + 424*s**2 - 5 wrt s? 12*i - 635124 What is the second derivative of -3*d**4 - 43*d**3 + 510*d**2 - 19*d + 33189 wrt d? -36*d**2 - 258*d + 1020 Find the first derivative of 691795*o**2 - 544191. 1383590*o What is the derivative of 2416201*w + 4783940? 2416201 What is the third derivative of -1592*z**6 + 122*z**3 - 1392534*z**2? -191040*z**3 + 732 What is the second derivative of -4876*t**5 + 2*t**3 + t**2 + 4006*t + 11? -97520*t**3 + 12*t + 2 Find the first derivative of -552*h**4*i**3 + 6*h**4*i - 127*i**3 - 4*i**2 + 2 wrt h. -2208*h**3*i**3 + 24*h**3*i What is the third derivative of -363220*y**5 + y**2 + 35555*y wrt y? -21793200*y**2 Find the third derivative of -3406*m**5*v**3 - m**5*v - 232*m**2 + 37*m*v - v**3 wrt m. -204360*m**2*v**3 - 60*m**2*v Differentiate -b*k*s**3 + 1084*b*k + 8*b*n*s**2 - 621*k*n + k*s**2 + 2*n*s**2 + 2*s**3 + s with respect to b. -k*s**3 + 1084*k + 8*n*s**2 Find the third derivative of -302001*y**6 - 2186*y**2 + 2*y - 198 wrt y. -36240120*y**3 Find the third derivative of -x**6 + 793*x**5 + x**3 - x**2 - 99976. -120*x**3 + 47580*x**2 + 6 What is the second derivative of 64*v**3*x**2 - 102*v**3*x - 36*v*x - 5597*x**3 + 23*x wrt x? 128*v**3 - 33582*x Differentiate -9817*o**3 - o**2 + o + 36354 with respect to o. -29451*o**2 - 2*o + 1 Find the third derivative of 2*f**5 - 4*f**4 + 1807*f**3 - 11647*f**2. 120*f**2 - 96*f + 10842 What is the third derivative of d**5 + 3*d**4 - 1410*d**3 - d**2 + 14*d + 434? 60*d**2 + 72*d - 8460 What is the third derivative of -r**6 + 583*r**4 + 1143*r**3 - 117*r**2 - r - 5 wrt r? -120*r**3 + 13992*r + 6858 What is the third derivative of -5*d*u**3 + 10*d*u + 192*u**3 + 23*u**2 + 2*u wrt u? -30*d + 1152 What is the third derivative of -35833*c**3 - 2161*c**2 + 11 wrt c? -214998 Find the second derivative of 48683*k**2*n**2*s**2 + 5*k**2*n**2*s + k**2*n**2 - 196*k**2 + 2*n**2*s**2 - 3*n*s wrt s. 97366*k**2*n**2 + 4*n**2 What is the derivative of -5284188*n - 4903897? -5284188 What is the derivative of -2561277*f*t**2 - t**2 + 117*t + 3887 wrt f? -2561277*t**2 What is the second derivative of 238*f*h**4 + 6*f*h + 10*f + 360*h**5 - 758 wrt h? 2856*f*h**2 + 7200*h**3 What is the third derivative of -74812*p**3 + p**2 + 5195*p + 3? -448872 What is the derivative of -27*d**3 - 2*d**2 + 17410*d + 423557? -81*d**2 - 4*d + 17410 Find the third derivative of 79379*o**6 + 132932*o**2. 9525480*o**3 What is the third derivative of -3*c**6 - 284*c**5 + 168*c**3 + 4307*c**2 - 223 wrt c? -360*c**3 - 17040*c**2 + 1008 What is the derivative of -357*b*q*t*z**2 - 7*b*t**3*z**2 + 284*b*t**2*z + 5*q*t**3*z**2 + z**2 wrt q? -357*b*t*z**2 + 5*t**3*z**2 Find the second derivative of -40937*c**4*l - 2*c**2*h**3*l - 2*c*h**3 + 16*h**3 + h**2 + 43*l wrt c. -491244*c**2*l - 4*h**3*l Find the second derivative of 2*g**2*v**2 + 3*g**2*v + 2*g**2 + 11831*g*v**4 - 5*v - 180 wrt v. 4*g**2 + 141972*g*v**2 Find the third derivative of 2*v**6 - 270*v**4 - 320*v**3 - 2*v**2 - 223382*v - 4. 240*v**3 - 6480*v - 1920 What is the third derivative of -51*u**6 - 540*u**3*v**3 + u**3*v + 3*u**2*v**3 + 20123*u**2*v - u*v**2 wrt u? -6120*u**3 - 3240*v**3 + 6*v What is the first derivative of -1935*y**2 - 9*y - 31756 wrt y? -3870*y - 9 What is the third derivative of 367550*h**3 + 339767*h**2? 2205300 Find the first derivative of -2*b*o**2 - 4*b*o + 13285*b - 72898*o**2 - 5 wrt o. -4*b*o - 4*b - 145796*o What is the derivative of 16*r*u**2*w**3 - 4*r*w**3 - r*w - 6*r - 6836*u**2*w**3 - 29*w**3 + 4*w**2 wrt u? 32*r*u*w**3 - 13672*u*w**3 What is the second derivative of -3763631*b**4 - 48721*b - 1? -45163572*b**2 What is the first derivative of 126*k**2*t**3 + 94*k**2*t + 7*k*r - 35312*r*t**3 - 2*r*t + 8*t**2 wrt k? 252*k*t**3 + 188*k*t + 7*r Find the first derivative of -298*c**4 + c**3 - 2*c**2 - 13*c - 2848711 wrt c. -1192*c**3 + 3*c**2 - 4*c - 13 Find the third derivative of 144192*d**4 + d**2 - 15*d + 834 wrt d. 3460608*d What is the first derivative of -27*j**3 - 10942*j**2 + 424776 wrt j? -81*j**2 - 21884*j What is the second derivative of 2*j*v*x**3 + 2*j*v*x**2 - j*v + 3095*j*x**2 - 17*j*x - 5*v*x - v - 2*x**2 + 2*x wrt x? 12*j*v*x + 4*j*v + 6190*j - 4 Differentiate -2668*q**3 + 11*q**2 + q + 816483 with respect to q. -8004*q**2 + 22*q + 1 Differentiate -246*h**3 - 3*h - 9438 wrt h. -738*h**2 - 3 Differentiate -1124689*d*o - 2*d - o + 1421968 wrt d. -1124689*o - 2 Find the first derivative of 2*a**2*u**2*z**2 - 9*a**2*z + a*z - 2*a - 1768*u**2*z**2 - z**2 wrt u. 4*a**2*u*z**2 - 3536*u*z**2 What is the derivative of -4949*t + 184633 wrt t? -4949 Find the second derivative of -315*b*t**3 + b*t - b - 3*t**3 - 254*t wrt t. -1890*b*t - 18*t Find the first derivative of -3417*x**3 + 21855. -10251*x**2 Find the first derivative of -177*o**3 - 1457*o**2 - 220297 wrt o. -531*o**2 - 2914*o Find the second derivative of 143978*j**2 - 83*j + 132 wrt j. 287956 What is the first derivative of -2*d**2 + 422638*d + 868426 wrt d? -4*d + 422638 Differentiate 127*g*l**2 - g*l - 30570*g - 27*l**3 wrt l. 254*g*l - g - 81*l**2 Find the third derivative of k**3*p**3 - 181*k**3*p**2 + 326*k**3 + k**2*p**2 - k*p**2 + 258*k + 2*p**3 - 1 wrt k. 6*p**3 - 1086*p**2 + 1956 What is the second derivative of -177572*a**5*n - a**2*n + 18*a*n - 2*a - 10*n - 82 wrt a? -3551440*a**3*n - 2*n Differentiate -17536*h + 102197 with respect to h. -17536 Find the third derivative of 2*l**4 + 16623*l**3*y - 33*l**2*y - 28*l**2 + 2*l wrt l. 48*l + 99738*y Find the third derivative of o**3*t**4 - 12774*o**3*t**2 + 33607*o**2*t**5 - 4*t**2 wrt t. 24*o**3*t + 2016420*o**2*t**2 Find the third derivative of -31314*a**3 + 6047*a**2 - 2 wrt a. -187884 What is the third derivative of -2472410*y**3 - 251*y**2 - 580*y wrt y? -14834460 Find the first derivative of 104708*m**2 + 114797 wrt m. 209416*m Find the third derivative of -100459*m**2*u**4 - 30*m**2*u + m*u**2 - 2*m + 2*u**2 - 83*u wrt u. -2411016*m**2*u Find the second derivative of 38*j**3*p**3 + 37*j**3*p + 5*j*p**3 + 7*j*p**2 + 56*p**3 wrt j. 228*j*p**3 + 222*j*p What is the derivative of -2*q**3*u - 8*q**3 - q**2*u - 35065*q**2 - 11490*q*u + 4*u wrt u? -2*q**3 - q**2 - 11490*q + 4 What is the derivative of 99*i**2*x**2 - 18*i**2*x + i*x - 18*x**2 - 16*x + 14 wrt i? 198*i*x**2 - 36*i*x + x What is the first derivative of 76162*g**4 - 2*g**3 + 5*g*j**3 - 82*j**3 + 2526 wrt g? 304648*g**3 - 6*g**2 + 5*j**3 What is the third derivative of -2915*l**4 + 28*l**3 + 2*l**2 + 11*l - 4603 wrt l? -69960*l + 168 Find the first derivative of -6*m**4 - 13833*m**3 - 2128173 wrt m. -24*m**3 - 41499*m**2 Find the third derivative of -y**4 + 14306*y**3 + 557998*y**2 wrt y. -24*y + 85836 Differentiate -20294*k**2 + 61006 wrt k. -40588*k What is the third derivative of -k*n**6 - 90*k*n**4 + k*n**2 - 751*k*n - 136*n**3 + n**2 + n + 56 wrt n? -120*k*n**3 - 2160*k*n - 816 Differentia
{ "pile_set_name": "DM Mathematics" }
pose 5*l - 15 + 5 = 0. What is the second derivative of 6*u**4 + l*u + 4*u - u**4 wrt u? 60*u**2 Let j be 4 - (3 - (4 - 2)). What is the third derivative of 0*u**2 + 5*u**3 - u**3 - u**j - u**2 wrt u? 18 Suppose -2 = 2*g + 2*v - 4, 2*v + 6 = 0. What is the derivative of -3*h - 4 + g - 1 wrt h? -3 Let d(o) = 2*o - 6. Let v be d(4). Let z be (v/(-6))/((-2)/12). What is the derivative of z + 2*g - 4*g + 0 - 5 wrt g? -2 Suppose 8 = 5*g - 2. Suppose 35 = 3*b + g*b. What is the second derivative of -5*m + b*m - 5*m**4 + 4*m**4 wrt m? -12*m**2 Let w(k) be the second derivative of k**2 - 9*k + 0 - 1/2*k**3. What is the first derivative of w(z) wrt z? -3 Suppose 0 = f - 4 - 0. Suppose 3*r = -a - a + 21, 0 = -a + 4*r - 17. What is the third derivative of a*t**2 - 4*t**4 + 5*t**4 + t**f wrt t? 48*t Let m(v) be the third derivative of -v**5/60 - 5*v**4/24 - v**3/6 - 3*v**2. Let s be m(-4). What is the first derivative of -3 + 5 - l + l - 4*l**s wrt l? -12*l**2 Let p(s) be the third derivative of 0*s**3 + 0*s**5 - 3*s**2 + 1/30*s**6 + 0*s + 1/12*s**4 + 0. What is the second derivative of p(k) wrt k? 24*k Let b be 1/(1*2/6). Find the second derivative of -w**2 + 3*w - w - 3*w + b*w wrt w. -2 What is the third derivative of 19*y**5 + 12*y**2 - 27*y**5 + 13*y**5 wrt y? 300*y**2 Let w(n) be the second derivative of -n**5/2 - 3*n**2/2 - 4*n. Differentiate w(k) with respect to k. -30*k**2 What is the second derivative of 9*m**2 - 8*m - 4*m**4 - 9*m**2 wrt m? -48*m**2 Suppose 0 = -0*b - b. What is the third derivative of 2*x**6 + b*x + 0*x + x**2 + 2*x**6 wrt x? 480*x**3 Suppose -5*i = 5*t - 20, 4*t = -0*t + 2*i + 16. What is the third derivative of 4*f**4 + 4*f**2 + 2*f**2 - 4*f**t - f**5 wrt f? -60*f**2 Let c(p) be the first derivative of -13*p**7/7 - p**3/3 + 14. What is the third derivative of c(i) wrt i? -1560*i**3 Let o = -21 - -10. Let d(m) = m**3 + 10*m**2 - 12*m - 7. Let n be d(o). What is the third derivative of n*c**3 - c + c - 2*c**2 - 2*c**3 wrt c? 12 Let d(y) = -7*y**2 - 5*y + 3. Let r(k) = -20*k**2 - 16*k + 8. Let h(l) = -8*d(l) + 3*r(l). Find the second derivative of h(q) wrt q. -8 What is the third derivative of 0*w**5 - 6*w**5 - 5*w**5 - 2*w**2 + 11*w**2 wrt w? -660*w**2 Let m(c) = 3*c**3 + 18*c**2 - 21*c. Let u(n) = n**3 + 0*n**2 - 5*n**2 - 2*n**3 + 6*n. Let k(j) = -5*m(j) - 18*u(j). What is the second derivative of k(o) wrt o? 18*o Differentiate 26 + 4*r**2 - 6*r**2 + 4 with respect to r. -4*r Let v(i) = 10*i**3 - 12*i - 5. Let g(m) = 51*m**3 - 60*m - 24. Let h(d) = -5*g(d) + 24*v(d). What is the second derivative of h(n) wrt n? -90*n Let h(f) be the second derivative of -1/2*f**2 + 0 + 0*f**3 - f - 1/3*f**4. Differentiate h(m) wrt m. -8*m Let h = -14 - -10. Let n = 7 + h. Find the third derivative of 4*p**3 - 6*p**3 - n*p**2 + 0*p**3 wrt p. -12 Let u(o) = -o**2 - 9*o - 8. Let w be u(-7). Find the third derivative of -c**6 + 6*c**6 + 3*c**2 + 0*c**6 - 2*c**w wrt c. 360*c**3 Find the second derivative of 0*l**3 + 0*l**3 + 30*l + 1053*l**5 - 1037*l**5 wrt l. 320*l**3 Let p(k) = k**5 - 2*k**3 - 2*k**2 - 3*k - 2. Let g(f) = -f**5 + f**3 + f**2 + 1. Let v(x) = 2*g(x) + p(x). What is the second derivative of v(t) wrt t? -20*t**3 What is the derivative of -8 - 10*u + 3*u**3 + 10*u wrt u? 9*u**2 What is the second derivative of 30*v**2 - 10*v**5 - 30*v**2 + 5*v wrt v? -200*v**3 Let j(z) be the first derivative of 2*z**4 - 8*z**3/3 + 1. What is the third derivative of j(w) wrt w? 48 Let u(i) be the third derivative of -i**8/12 - i**5/10 + 19*i**2. What is the third derivative of u(x) wrt x? -1680*x**2 Let t(c) = 2*c**3 - 5*c + 3. Let g(p) = -2*p**3 + p - 1 + p**3 + p + 0*p. Let m(y) = 5*g(y) + 2*t(y). What is the derivative of m(b) wrt b? -3*b**2 Let a(f) = -f**3 + f**2 - f + 1. Let x(h) = -7*h**4 - 4*h**3 + 4*h**2 - 10*h + 4. Let m(t) = -4*a(t) + x(t). What is the second derivative of m(q) wrt q? -84*q**2 Let c(u) = 36*u**3 - 3*u**2 - 3*u + 2. Let h(z) = z**3 - z**2 + 1. Let t(j) = -c(j) + 2*h(j). Find the third derivative of t(y) wrt y. -204 Let o(k) be the second derivative of 10*k**3/3 - 13*k**2/2 - 26*k. Find the first derivative of o(m) wrt m. 20 Suppose -p = 2*p. Suppose 4*y = -p*y + 4. Differentiate y + 2 - 3*u + 4*u with respect to u. 1 Suppose -2*c = c - 9. Suppose 9 = c*d + 3. What is the second derivative of -3*q**4 + 0*q**4 + 3*q - d*q**4 wrt q? -60*q**2 Let x(y) be the second derivative of 3*y**5/10 - 3*y**2/2 + 7*y. What is the derivative of x(m) wrt m? 18*m**2 Suppose -3*s + 11 = 4*o, 3*o - 5*s - 3 = -2. Find the third derivative of -4*f - f**5 - f**o + 4*f wrt f. -60*f**2 Suppose 2 - 14 = -s. Suppose -4*r = -s - 16. What is the third derivative of 7*o**2 - r*o**3 + 3*o**3 - 3*o**2 wrt o? -24 Let g(b) be the second derivative of -1/10*b**5 - 1/3*b**4 + 0 + 0*b**3 + 0*b**2 + 4*b. Find the third derivative of g(s) wrt s. -12 Let m(h) be the first derivative of -24*h**5/5 - 29*h - 9. Differentiate m(z) wrt z. -96*z**3 Let j(n) be the third derivative of -n**9/21 - n**5/30 + 38*n**2. Find the third derivative of j(d) wrt d. -2880*d**3 Let d(x) be the first derivative of 1/3*x**3 + 0*x**2 - 3/4*x**4 - 3 + 0*x. What is the third derivative of d(s) wrt s? -18 Let a(b) be the first derivative of 11*b**2/2 + 11*b + 2. Differentiate a(k) wrt k. 11 Let t be 8/(-10)*(-10)/4. Let p = t - 2. Find the third derivative of -2*a**2 - a**2 + 2*a**6 + p*a**6 wrt a. 240*a**3 Let i(s) be the second derivative of 8*s**6/15 + s**4/3 - s. What is the third derivative of i(n) wrt n? 384*n Let d(z) = 3*z**2 - 7*z - 18. Suppose 2 = -3*k - 16. Let b(a) = 3*a**2 - 6*a - 17. Let y(j) = k*d(j) + 7*b(j). Differentiate y(s) with respect to s. 6*s Let x(o) be the second derivative of -o**6/6 - 11*o**4/12 + 6*o. Find the third derivative of x(p) wrt p. -120*p Suppose -5 = 5*o - 15. Let j = -5 - -8. What is the second derivative of -3 - s - 3*s**o + j wrt s? -6 Differentiate 14*y - 166 + 316 - 161 with respect to y. 14 Let g(f) be the third derivative of f**6/120 + f**4/4 - f**2. What is the second derivative of g(t) wrt t? 6*t Suppose -3*g + 5*s = -9, -4*g - s + 12 = -0*s. Find the second derivative of 3*i**3 - 4*i - g*i**3 - 5*i**5 + 3*i**5 wrt i. -40*i**3 Let q be 2 + (-2 - -2) - -1. Let y = q - 2. What is the derivative of -2*v + 1 - 3 + y wrt v? -2 Let b(a) = -24*a + 21. Let v(r) = -r - 96 - 7*r + 103. Let c(f) = -6*b(f) + 17*v(f). What is the derivative of c(k) wrt k? 8 Let h(i) be the third derivative of i**8/560 - i**6/360 - i**3/6 + 3*i**2. Let x(q) be the first derivative of h(q). Find the third derivative of x(f) wrt f. 72*f Let g(v) be the first derivative of 3*v**2 - v + 6. Differentiate g(b) with respect to b. 6 Let m(s) be the first derivative of 2/5*s**5 + 0*s**3 + 0*s**2 + 3*s + 0*s**4 + 2. What is the first derivative of m(j) wrt j? 8*j**3 Differentiate u**4 - 4 + u**3 - u**3 - 3*u**4 wrt u. -8*u**3 What is the second derivative of -113*a - 17*a**3 - 92*a + 162*a wrt a? -102*a Let h(u) be the second derivative of 5*u**3/6 - 9*u**2/2 - u. Differentiate h(v) with respect to v. 5 Let z be 8/(-10) - 261/(-45). Let o(k) be the third derivative of 0*k - 1/40*k**6 + 0*k**z + 1/6*k**3 + 3*k**2 + 0 + 0*k**4. Differentiate o(c) wrt c. -9*c**2 Suppose 3*u - 16 = 2*p + 22, -p - u - 14 = 0. Let o be p/(-7) + 10/(-35). What is the third derivative of a**4 - 2*a**o - a**2 + 0*a**4 wrt a? 24*a Let l = -3 - -7. Let g(m) = -5*m**2 + 4*m - 7. Let u(s) = 6*s**2 - 5*s + 8. Let q(a) = l*u(a) + 5*g(a). What is the derivative of q(n) wrt n? -2*n Let i be (1 - (6 - 0))*-1. Suppose -20 = 5*r - 4*d - 52, -26 = -i*r + 2*d. What is the third derivative of -r*q**2 - 2*q**6 + 2*q**2 + 3*q**6 wrt q? 120*q**3 Let y(v) = v**3 - v - 1. Let g(z) = -4*z**3 - 2*z**2 + 2*z + 2. Let o be 1 + (-1 - 0) + -2. Let n(l) = o*y(l) - g(l). Find the third derivative of n(m) wrt m. 12 Let m(y) be the third derivative of -11*y**6/120 - 2*y**5/15 + 19*y**2. What is the third derivative of m(t) wrt t? -66 Suppose 0 = 2*j + 10, -38 = -5*i - 5*j + 192. Find the second derivative of -51*m**2 + i*m**2 + 4*m**4 + m wrt m. 48*m**2 Let y(p) be the first derivative of -65*p**4/4 - 50*p + 20. Differentiate y(x) with respect to x. -195*x**2 Let s be 75/7 - (-14)/49. Let h(o) = 4*o**2 - 6*o + 3. Let d(y) = 8*y**2
{ "pile_set_name": "DM Mathematics" }
15*i - 33 What is the h'th term of 1970698, 3941401, 5912104, 7882807, 9853510? 1970703*h - 5 What is the y'th term of 609316, 606514, 601844, 595306, 586900, 576626? -934*y**2 + 610250 What is the m'th term of -485585737, -485585739, -485585741, -485585743, -485585745, -485585747? -2*m - 485585735 What is the c'th term of 35281, 33810, 32339, 30868, 29397, 27926? -1471*c + 36752 What is the z'th term of 1157, 4930, 11303, 20276? 1300*z**2 - 127*z - 16 What is the w'th term of 1080422, 1080423, 1080420, 1080413, 1080402? -2*w**2 + 7*w + 1080417 What is the f'th term of -35295, -34346, -33411, -32496, -31607, -30750, -29931? -f**3 - f**2 + 959*f - 36252 What is the r'th term of -9750204, -19500430, -29250656, -39000882, -48751108, -58501334? -9750226*r + 22 What is the b'th term of -140, -243, -328, -401, -468? -b**3 + 15*b**2 - 141*b - 13 What is the b'th term of -3041, -12796, -22551, -32306, -42061? -9755*b + 6714 What is the n'th term of 78843, 157561, 236159, 314637, 392995? -60*n**2 + 78898*n + 5 What is the d'th term of -3851, 10674, 34873, 68740, 112269? -d**3 + 4843*d**2 + 3*d - 8696 What is the m'th term of 149980416, 149980401, 149980368, 149980311, 149980224, 149980101? -m**3 - 3*m**2 + m + 149980419 What is the k'th term of 2312, 9181, 20624, 36635, 57208, 82337, 112016, 146239? -k**3 + 2293*k**2 - 3*k + 23 What is the o'th term of -372947, -746011, -1119075, -1492139, -1865203, -2238267? -373064*o + 117 What is the y'th term of 45743, 46036, 46525, 47210, 48091, 49168, 50441? 98*y**2 - y + 45646 What is the d'th term of 619583, 619347, 619113, 618881, 618651? d**2 - 239*d + 619821 What is the z'th term of -266949, -533939, -800927, -1067913, -1334897, -1601879, -1868859? z**2 - 266993*z + 43 What is the l'th term of -656, -1499, -2332, -3161, -3992, -4831? -l**3 + 11*l**2 - 869*l + 203 What is the h'th term of -2899324, -2899333, -2899342, -2899351, -2899360? -9*h - 2899315 What is the i'th term of -1169342, -2338686, -3508030, -4677374, -5846718, -7016062? -1169344*i + 2 What is the h'th term of -486910, -973796, -1460682, -1947568, -2434454? -486886*h - 24 What is the u'th term of -13713, -656, 12413, 25500, 38611, 51752, 64929, 78148? u**3 + 13050*u - 26764 What is the t'th term of -20167636, -20167598, -20167558, -20167516, -20167472, -20167426? t**2 + 35*t - 20167672 What is the c'th term of 19249, 38235, 57221, 76207, 95193, 114179? 18986*c + 263 What is the d'th term of 1725, 3693, 5779, 7989, 10329, 12805, 15423? d**3 + 53*d**2 + 1802*d - 131 What is the z'th term of -59, -369, -1009, -2081, -3687, -5929, -8909? -17*z**3 - 63*z**2 - 2*z + 23 What is the f'th term of -649676, -649447, -648824, -647609, -645604, -642611, -638432, -632869? 33*f**3 - f**2 + f - 649709 What is the g'th term of -275616606, -275616611, -275616616, -275616621, -275616626, -275616631? -5*g - 275616601 What is the d'th term of -186, 901, 2724, 5289, 8602, 12669, 17496, 23089? d**3 + 362*d**2 - 6*d - 543 What is the v'th term of 55350734, 55350733, 55350732, 55350731, 55350730, 55350729? -v + 55350735 What is the d'th term of 2185012, 4369324, 6553638, 8737954? d**2 + 2184309*d + 702 What is the t'th term of -4116165, -4116157, -4116147, -4116135, -4116121? t**2 + 5*t - 4116171 What is the y'th term of -105422, -421868, -949234, -1687520, -2636726? -105460*y**2 - 66*y + 104 What is the p'th term of -269417386, -538834773, -808252160? -269417387*p + 1 What is the x'th term of -2689445, -5378914, -8068383, -10757852, -13447321? -2689469*x + 24 What is the y'th term of -2724005, -5448007, -8172009, -10896011? -2724002*y - 3 What is the y'th term of 20036, 19507, 18978, 18449, 17920? -529*y + 20565 What is the n'th term of -1028774639, -1028774640, -1028774641, -1028774642, -1028774643, -1028774644? -n - 1028774638 What is the p'th term of -416853856, -416853857, -416853858, -416853859, -416853860? -p - 416853855 What is the l'th term of 298, 435, 814, 1561, 2802? 21*l**3 - 5*l**2 + 5*l + 277 What is the l'th term of -1902, -3793, -5728, -7707, -9730, -11797? -22*l**2 - 1825*l - 55 What is the u'th term of 23975, 191360, 645595, 1530104, 2988311? 23904*u**3 + u**2 + 54*u + 16 What is the z'th term of -4069, -8978, -13875, -18754, -23609? z**3 - 4916*z + 846 What is the q'th term of 3253, 6463, 9591, 12595, 15433, 18063, 20443? -7*q**3 + q**2 + 3256*q + 3 What is the k'th term of 4495, 8836, 13157, 17458, 21739, 26000, 30241? -10*k**2 + 4371*k + 134 What is the q'th term of -2363805, -2363784, -2363763? 21*q - 2363826 What is the g'th term of 298044, 297529, 297014, 296499, 295984, 295469? -515*g + 298559 What is the q'th term of -3038241, -6076478, -9114713, -12152946? q**2 - 3038240*q - 2 What is the s'th term of 716407, 1432800, 2149193, 2865586? 716393*s + 14 What is the z'th term of -28421, -113965, -256629, -456413? -28560*z**2 + 136*z + 3 What is the n'th term of -184, -139, 18, 341, 884? 9*n**3 + 2*n**2 - 24*n - 171 What is the v'th term of 17599, 15118, 12631, 10138, 7639, 5134? -3*v**2 - 2472*v + 20074 What is the m'th term of 14655, 58656, 132009, 234720, 366795? m**3 + 14670*m**2 - 16*m What is the c'th term of -813, -1461, -2151, -2907, -3753? -4*c**3 + 3*c**2 - 629*c - 183 What is the s'th term of 202751, 811000, 1824749, 3243998? 202750*s**2 - s + 2 What is the y'th term of -1051107, -2102311, -3153617, -4205025, -5256535? -51*y**2 - 1051051*y - 5 What is the y'th term of -23178, -46326, -69474? -23148*y - 30 What is the z'th term of -10318, -21067, -32358, -44185, -56542, -69423? z**3 - 277*z**2 - 9925*z - 117 What is the d'th term of 68, 348, 820, 1484, 2340, 3388? 96*d**2 - 8*d - 20 What is the r'th term of 76196, 151783, 226144, 298667, 368740, 435751, 499088? -102*r**3 - r**2 + 76304*r - 5 What is the k'th term of -2071, -16622, -56121, -133042, -259859, -449046? -2079*k**3 + 2*k + 6 What is the i'th term of -38, -268, -700, -1334, -2170, -3208, -4448? -101*i**2 + 73*i - 10 What is the d'th term of 1551994, 6207978, 13967952, 24831916, 38799870? 1551995*d**2 - d What is the w'th term of -4435, -18004, -40617, -72274, -112975, -162720, -221509? -4522*w**2 - 3*w + 90 What is the m'th term of -776, -752, -676, -518, -248, 164, 748? 5*m**3 - 4*m**2 + m - 778 What is the x'th term of -17714, -23918, -30122, -36326, -42530? -6204*x - 11510 What is the w'th term of 162194, 324321, 486448, 648575, 810702, 972829? 162127*w + 67 What is the u'th term of 4818953, 9637952, 14456951? 4818999*u - 46 What is the i'th term of -69028, -68906, -68704, -68422, -68060, -67618? 40*i**2 + 2*i - 69070 What is the i'th term of 295, 3692, 9353, 17278, 27467, 39920, 54637? 1132*i**2 + i - 838 What is the b'th term of 3627, 13663, 30341, 53667, 83647, 120287, 163593? b**3 + 3315*b**2 + 84*b + 227 What is the z'th term of 75267, 150455, 225637, 300813, 375983? -3*z**2 + 75197*z + 73 What is the r'th term of -86, 3949, 16264, 40999, 82294, 144289? 690*r**3 - 795*r + 19 What is the s'th term of -152883, -152877, -152863, -152835, -152787, -152713? s**3 - 2*s**2 + 5*s - 152887 What is the t'th term of 6930, 14869, 23818, 33777, 44746, 56725? 505*t**2 + 6424*t + 1 What is the l'th term of -2086, -5207, -9360, -14545? -516*l**2 - 1573*l + 3 What is the v'th term of 2855, 5601, 8289, 10931, 13539, 16125? 2*v**3 - 41*v**2 + 2855*v + 39 What is the i'th term of 46136, 46069, 45966, 45833, 45676, 45501, 45314, 45121? i**3 - 24*i**2 - 2*i + 46161 What is the u'th term of -7778594, -15557183, -23335772, -31114361? -7778589*u - 5 What is the o'th term of 26859, 107462, 241799, 429870, 671675, 967214? 26867*o**2 + 2*o - 10 What is the r'th term of -37927386, -37927385, -37927384? r - 37927387 What is the b'th term of -8011, -64108, -216385, -512932, -1001839, -1731196, -2749093? -8015*b**3 + 8*b - 4 What is the y'th term of 363, 484, 751, 1236, 2011, 3148? 12*y**3 + y**2 + 34*y + 316 What is the i'th term of -7157, -7893, -9117, -10829, -13029, -15717? -244*i**2 - 4*i - 6909 What is the h'th term of 11361, 11381, 11389, 11379, 11345, 11281, 11181? -h**3 + 27*h + 11335 What is the b'th term of -35854, -71832, -107810, -143788, -179766, -215744? -35978*b + 124 What is the d'th term of -3579983, -7159984, -10740009, -14320064, -17900155, -21480288, -25060469? -d**3 - 6*d**2
{ "pile_set_name": "DM Mathematics" }
at is -0.9 + -391358? -391358.9 Calculate 4963 + -238. 4725 Put together -1970129 and -0.2. -1970129.2 Calculate 0.1198 + -0.01. 0.1098 What is 533715 less than 0.3? -533714.7 Add together 0.028005 and 0.1. 0.128005 Sum -1004 and -13.45. -1017.45 Sum 52 and 0.86. 52.86 Work out 95 - 3952. -3857 -16924+-5 -16929 Add together 4370 and -0.6. 4369.4 What is -181206 minus -1.1? -181204.9 -26+-53 -79 Work out 0.4554 - -299. 299.4554 -0.4 + -0.013024 -0.413024 What is 3.48 minus -5933? 5936.48 What is -0.2 plus -213794? -213794.2 Subtract 965 from -12. -977 -141 - 970 -1111 Work out 215538.3 + -0.2. 215538.1 Calculate 23 + -15. 8 Add 0.2 and 99311. 99311.2 Calculate -0.21 + 2.88. 2.67 -3765 + 47 -3718 0.42 - -29.3446 29.7646 What is 937 minus -23? 960 Add together 141.5 and -631. -489.5 -3 - 0.01011 -3.01011 0.13+313855 313855.13 Sum 13450.8 and 4. 13454.8 0.4 - 31917 -31916.6 Work out 27.8 - 0.158. 27.642 Calculate 0.1 - 4600. -4599.9 What is -0.0327 take away 9.7? -9.7327 What is -21 plus -157? -178 What is 2 minus 78.243? -76.243 Put together -187 and -906. -1093 52 + 139 191 What is -463 - 0.0234? -463.0234 What is 1073 - -4? 1077 What is 9657 take away 3? 9654 Subtract -0.26 from -59. -58.74 4.307 + -0.2 4.107 Add -0.0912 and -3. -3.0912 Add -63 and 0.003. -62.997 What is 267 take away 4? 263 Calculate -38160 + 0. -38160 5 - 268454 -268449 What is -36.312 minus 0.22? -36.532 Work out 13120 + -122. 12998 -143 + 386 243 Subtract 0.1 from 20.51. 20.41 Add together -10.014 and -1.9. -11.914 Work out 1 - 4.42574. -3.42574 Work out -882 - 2. -884 Calculate -26713 - 0.04. -26713.04 Calculate -281 + 7.81. -273.19 Calculate 105 + 0.6. 105.6 What is -1 - -3.98? 2.98 Sum -0.0141 and -0.2344. -0.2485 Sum 338 and -1.525. 336.475 Total of -53 and -207.59. -260.59 What is 1.14 - 7? -5.86 What is the difference between -67 and -0.21? 66.79 What is -3 - 0.60824? -3.60824 Subtract 0.4 from 0.06158. -0.33842 What is 0.98 plus 0.03688? 1.01688 What is 12211 less than -5.1? -12216.1 Put together -0.2 and -0.2255. -0.4255 0.544+-2645 -2644.456 -424931 - 0.5 -424931.5 What is -17.428 - 0.71? -18.138 -0.5 + -83955 -83955.5 Calculate 6.21 + -181. -174.79 0.4+14363 14363.4 Add -166.07 and 2. -164.07 What is 149948 + -4? 149944 -2 - 0.02177 -2.02177 What is 4 less than -693? -697 -0.278 - 4419 -4419.278 What is 1.9 plus -17? -15.1 What is 0.2639 less than -0.4? -0.6639 What is 0.0287 less than -0.037? -0.0657 Calculate 0.5 - 196. -195.5 What is -4296 take away 3.27? -4299.27 Add together 68 and 0.611. 68.611 Add 2.825 and -1. 1.825 Total of 35.9 and 0.13. 36.03 What is -4.811 minus -6? 1.189 Subtract 14969 from -0.3. -14969.3 Calculate 6 + -13894. -13888 Sum -0.02 and -1625. -1625.02 Add together 0.1 and -0.0632. 0.0368 What is the distance between 53214 and 4? 53210 What is the distance between 8 and 0.38? 7.62 What is -0.781 take away -0.1? -0.681 -29.57 + 722 692.43 Add together 5 and 182.42. 187.42 What is 15519 plus 4? 15523 -394+0.2 -393.8 45+-135 -90 Calculate -0.1 + 7100. 7099.9 0.28659 + 39 39.28659 What is the distance between -905 and -238? 667 What is 37.92 - -206? 243.92 What is the difference between 252780 and -20? 252800 What is 44 + 23? 67 Calculate 9713 - -0.03. 9713.03 Work out -13 - 309. -322 Sum 3 and -0.82. 2.18 Sum -0.7 and 13.18. 12.48 Calculate -1568009 + -0.05. -1568009.05 What is -232 minus -11? -221 Add -18811 and 4. -18807 0+-255 -255 What is 4 plus 16? 20 Add together 281 and 2. 283 What is 18.94 plus -21.4? -2.46 What is 2467 plus -2? 2465 Total of 0.1962 and 0.401. 0.5972 -0.472+-1.1 -1.572 What is the difference between 0.105848 and 64? 63.894152 Subtract -0.098 from -0.3. -0.202 Sum -52547 and 0.3. -52546.7 What is -1136 - 42.4? -1178.4 Subtract -25.47 from -0.8. 24.67 What is -142 + -0.03? -142.03 What is -0.76 - 11? -11.76 What is -0.587 take away 0.026? -0.613 Calculate 4 + -2927. -2923 What is the distance between -295354 and 0.12? 295354.12 What is -2043 take away -0.15? -2042.85 Add together -1.2 and -2682. -2683.2 What is the distance between 0.05992 and 188? 187.94008 What is -0.1 - 3172? -3172.1 What is -0.4 - 3059? -3059.4 What is 8713 minus 50? 8663 What is the distance between 0.74 and -20? 20.74 What is 31 - 408.7? -377.7 What is -24.882 minus -27.9? 3.018 Work out 0.1 - 2547.19. -2547.09 -3 - -192583 192580 What is -3.9989 - -0.19? -3.8089 -6.17+1.1 -5.07 What is 232.3 less than 0? -232.3 -319 - -0.848 -318.152 What is the difference between -72.5 and -1.32? 71.18 Add together 5 and 2654. 2659 What is -242 minus 0.8481? -242.8481 What is the distance between -10.6 and -17.93? 7.33 Put together -0.4 and 14921. 14920.6 Put together -515 and 3585. 3070 What is the distance between 0.5 and -47.37? 47.87 Add together -61019 and -21. -61040 What is -0.02608 minus 5? -5.02608 99 - -1172.5 1271.5 What is -0.1 - 4.908? -5.008 -0.2 - 1299596 -1299596.2 What is 212989 minus 0.8? 212988.2 Calculate 2.2 - 2682. -2679.8 Add together 1132.76 and 0.2. 1132.96 What is -22.1 take away -1498? 1475.9 Work out 2.1 + -43. -40.9 What is 3.334 minus -0.07? 3.404 What is 8 less than -0.358? -8.358 Work out 29 - -58. 87 Put together 0.8 and -0.215. 0.585 -345+0.2307 -344.7693 What is -1 take away 5128? -5129 Work out 0.3 - -1.2842. 1.5842 What is 0.1 - -1880? 1880.1 -0.378 - 0.08 -0.458 Work out 2.847 + -51. -48.153 Add together 0.3498 and 5. 5.3498 -20887 - -3.9 -20883.1 3+2.894 5.894 -0.1+0.358 0.258 Add 1 and 0.0322. 1.0322 Put together -2 and -0.033. -2.033 What is -12 take away -36000? 35988 What is the distance between 5 and -226? 231 -0.532 - -0.5 -0.032 -222+-1 -223 What is -0.79 plus -3638? -3638.79 Calculate -620 - -12.21. -607.79 What is -1.9 plus 5461? 5459.1 Put together 0.0287 and 534. 534.0287 What is 0.78 less than -25.39? -26.17 Subtract 110 from -0.129. -110.129 0.34+0.05 0.39 0.4 + -5.682 -5.282 -2042070+-5 -2042075 Put together 101 and 108.4. 209.4 What is -20 - -4884? 4864 Sum -273 and 102.2. -170.8 Put together -10.8547 and 2. -8.8547 Subtract 0.01259 from -5. -5.01259 What is the difference between 2 and -2182? 2184 Work out 182 + 5195. 5377 Put together 0.01 and 2615.3. 2615.31 What is 0.0374 - 1.1? -1.0626 -0.06 + 7337 7336.94 -0.06 - -0.1 0.04 Calculate 0.25 - 38. -37.75 Calculate 0.5 - -336. 336.5 What is -4 + -293? -297 What is -5 - 218451? -218456 What is the distance between 1534.76 and -6? 1540.76 What is 3 + 472.782? 475.782 Put together -617 and 1.4. -615.6 Calculate 24.5 + 18. 42.5 What is -11 plus 187.56? 176.56 Add together -0.2 and -439. -439.2 What is -7.853 plus 25? 17.147 Calculate -1322.87 - 0.2. -1323.07 58.9 + 6 64.9 What is -1.5 minus 8.1? -9.6 What is 20342 less than 78? -20264 What is -0.242 - 21.57? -21.812 3386 - 2 3384 Calculate -229184 - -0.052. -229183.948 What is -0.2 take away 197? -197.2 What is 37107 minus -19? 37126 What is the difference between 122707 and -0.23? 122707.23 Add together -0.54 and 51. 50.46 Work out 0.01 - 1.7. -1.69 Put together -1.5 and -4386.1. -4387.6 Work out 34 - 0.016. 33.984 Calculate -0.5 - 221107. -221107.5 What is -258 - 0.25747? -258.25747 Calculate -0.3 + -3410. -3410.3 What is 170.91 take away 5? 165.91 Put together 3 and 124. 127 What is 0.1 less than 308077? 308076.9 What is 135087 minus -2? 135089 Work out 2759 + 1962. 4721 Calculate -37.01 + -3.1. -40.11 Calculate -3369 + -6. -3375 What is -0.367 minus -0.03? -0.337 Sum 0.09 and -1654. -1653.91 Sum 44.4 and -133. -88.6 Sum -0.4 and 29407. 29406.6 What is 189.4 plus 0.2? 189.6 Add 8.2 and -2643. -2634.8 Add -3 and 1186. 1183 Subtract -1.47 from -0.025. 1.445 What is -0.3101 minus 460.9? -461.2101 -0.041+14.572 14.531 Total of 0.3348 and -0.2. 0.1348 Add together 99 and 2151. 2250 What is 0.1 - -431? 431.1 Put together -0.31 and 34. 33.69 What is -0.5 - 0.0256952? -0.5256952 Add together 18.85145 and -0.5. 18.35145 What is 532 less than 31? -501 Calculate 0.0651 + -31. -30.9349 -0.1+-0.6294 -0.7294 Total of 8.2 and -0.092166. 8.107834 What is -7610 minus 2.2? -7612.2 -3+1484 1481 What is the distance between 0.3 and 158.8? 158.5 -21622 - 0.4 -21622.4 Add together 417 and -13.89. 403.11 What is -0.1 less than 148234? 148234.1 Calculate -0.01 + -0.08245. -0.09245 What is -0.980551 - 0.3? -1.280551 Work out 0.06
{ "pile_set_name": "DM Mathematics" }
uppose 7*l = 5761 - 910. Calculate the remainder when (4/(-3))/(-9 + 6231/l) is divided by 31. 30 What is the remainder when (12/(-8))/(14 - 43194/3084) is divided by 135? 122 Suppose 0*u - 35 = -u - 3*m, m - 245 = -5*u. Let a = 321971 + -321824. What is the remainder when a is divided by u? 47 Suppose -i - 2 = -0*i + 2*o, -2*i - 5*o = 8. Let q(d) = -d**3 + 8*d**2 - 10*d - 5. What is the remainder when 24 is divided by q(i)? 3 Let o be (-16)/(-80) + (-28)/(-10). Suppose -247 = -o*c - 2*w, w + w + 348 = 4*c. Let z = 122 - c. Calculate the remainder when z is divided by 13. 11 Let h(s) = 1124*s - 3232. What is the remainder when h(6) is divided by 196? 180 Let x = -521 + 522. What is the remainder when (1 + 12)/(x - 62/64) is divided by 22? 20 Suppose -36*n + 3*a = -31*n - 1758, 4*n - 5*a - 1409 = 0. Calculate the remainder when n is divided by 78. 39 Let l = 5026 - 5002. Calculate the remainder when 4243 is divided by l. 19 Suppose -55176*w + 11856 = -55172*w. Calculate the remainder when w is divided by 48. 36 Suppose -2643 = 5*l + u, u - 3 = -1. Let m = -468 - l. Calculate the remainder when m is divided by 8. 5 Let v(h) = 120*h - 2945. Let j = 6 - 2. Suppose j*k - 2*m - 76 = 0, -m - 76 = -6*k + 2*k. What is the remainder when v(25) is divided by k? 17 Let q(m) = m + 6. Let k be q(-4). Suppose -k = -2*r + 16. What is the remainder when ((-348)/(-9))/(12/r - 1) is divided by 39? 38 Suppose -7 = 6*v + 119. Let z be (-2)/(-14) + (-3147)/v. Suppose -2*o + z = 5*i, 0 = -3*i - 5*o + 6*o + 90. Calculate the remainder when 59 is divided by i. 29 Let k(j) = j. Let x(c) = 19*c - 79. Let u(i) = 3*k(i) + x(i). What is the remainder when u(11) is divided by 28? 23 Let y(c) = c**2 - c - 8. Suppose -18*w = -13*w - 205. What is the remainder when y(15) is divided by w? 38 Let m(p) = p**2 - 24*p + 97. Let l be m(5). Suppose -3*o + 4*o - 5*b = 2, -o + l*b + 11 = 0. Calculate the remainder when 458 is divided by o. 16 Let d(b) = 13*b + 11 - 3 + 3 + b**2. Let p be d(-13). Suppose 2*q - 11 = p. Calculate the remainder when q is divided by 4. 3 Let m = -5721 - -7169. What is the remainder when m is divided by 7? 6 Let p be (-61)/(-3) - -2 - (-8)/12. Suppose 198 = 3*c - 3*o, p*o - 19*o = -4. What is the remainder when c is divided by 6? 5 Let j = -37 - -177. What is the remainder when j is divided by (90/(-5))/((-15)/(-10 - -40))? 32 Let w(u) = 9*u - 23. Let i(p) = -3*p + 8. Let x(c) = -11*i(c) - 4*w(c). What is the remainder when 36 is divided by x(-7)? 11 Suppose -59*h - 2147 = -6749. Calculate the remainder when 2167 is divided by h. 61 Suppose -33*u = -3*u - 120. Let v(b) = -18*b + 101. What is the remainder when v(u) is divided by 15? 14 Let l(u) = 39*u**2 - 11*u + 4. Let m be l(5). Suppose -j - m = -34*j. What is the remainder when 135 is divided by j? 23 Let l(x) = 2*x**2 - 26*x + 35. Let f be l(20). Let z = f - 147. What is the remainder when z is divided by 34? 32 Suppose 0 = 5*r - 31 + 46. Let b be (361/(-3))/(1/r) - 1. Suppose y - b = -11*y. What is the remainder when y is divided by 11? 8 Suppose -7*s - 210 + 196 = 0. Calculate the remainder when s/3 + (-11)/((-363)/1309) is divided by 10. 9 Let p(u) = 37*u**2 + 55*u + 167. Calculate the remainder when p(-3) is divided by 71. 51 Suppose -f = f. Suppose f = 4*q - 97 - 43. Suppose -1805*p + 1802*p = 4*a - 59, -a = -3*p + 19. Calculate the remainder when q is divided by p. 8 What is the remainder when (17 + -3 - -348 - 2) + (-8 - 0) is divided by 49? 9 Let k = -482 - -501. Suppose 2*l - 96 = -l. What is the remainder when l is divided by k? 13 Let d be 15090/27 + 6/54. Suppose 14*c = d + 309. What is the remainder when 183 is divided by c? 59 Let y(v) = -v**3 - 2*v**2 + 5*v - 2. Let b be y(1). Let j(i) = -3*i**2 - 2*i + 210. Calculate the remainder when j(b) is divided by 43. 38 Let d = 5 + -4. Let w(b) = -b**3 - 5*b**2 + 7*b + 10. Let h be w(-6). Suppose h*l - 1 = 7. What is the remainder when l is divided by d? 0 Let s(j) = -10*j + 108. Let k be s(9). What is the remainder when 52 is divided by 88/6*27/k? 8 Calculate the remainder when 968 is divided by (6/(-2) + (13 - 6))/((-8)/(-118)). 24 Let n = -15664 - -16109. Calculate the remainder when n is divided by 136. 37 Let r = -10457 - -11202. Calculate the remainder when r is divided by 243. 16 Let y = -10 + 5. Let i(h) be the third derivative of -h**4/4 - h**3/6 - 9*h**2 - 4. What is the remainder when i(y) is divided by 16? 13 Let u = -15560 - -15869. What is the remainder when u is divided by 124? 61 Let m = 12471 - 12463. What is the remainder when 318 is divided by m? 6 Suppose g - 32 = 5*t, -4*g = -3*t - 6*g - 27. Let k(w) = 6*w**2 + 18*w + 7. Calculate the remainder when k(t) is divided by 46. 37 What is the remainder when 137 is divided by ((-1792)/(-1120)*200/6)/(4/6)? 57 Suppose 3*b - 50 = 5*x, b + 4*x + 2 = 13. Suppose -1255 + 325 = -b*p. What is the remainder when 184 is divided by p? 60 Let h(b) = 3*b**3 + 67*b**2 + 29*b + 171. What is the remainder when 3890 is divided by h(-22)? 14 Let g = 2673 + -1364. What is the remainder when 143 is divided by g/85 + ((-6)/(-5))/(-3)? 8 Suppose 5*d - 88 = 9*d. Calculate the remainder when 59 is divided by (16 + d)/(2 + 10/(-4)). 11 Let x(b) = -b**2 + 15*b + 30. Let h be 50/3 + (-10)/6. Let c be x(h). Calculate the remainder when 69 is divided by (-8)/(-6) - (-1040)/c. 33 Let q be 26*2/(-24)*-6. Suppose -2*k + q = -97. What is the remainder when 164 is divided by k? 54 Let s be (-4)/(-14) + 574/49. Suppose 0 = -9*i + s*i + 513. Let w = 261 + i. What is the remainder when w is divided by 31? 28 Let z(k) = 13*k + 2. Suppose 4*s + 3 + 1 = 0. Let u(r) = -r + 1. Let y(w) = s*z(w) + 3*u(w). What is the remainder when 46 is divided by y(-1)? 12 Suppose 10*g = -2*g + 264. What is the remainder when 0 + -2 - (6/3 + -398) is divided by g? 20 Let u(b) = -b**2 + 26*b - 102. Let o be u(5). Let c = 9 + -6. What is the remainder when c is divided by (-25)/2 + 13 + o/2? 1 Let k(r) = r**2 + 35*r + 460. Calculate the remainder when 987 is divided by k(-21). 157 Let d be -101 + 107 + 3*2. Suppose 0 = -d*q + 706 + 890. What is the remainder when q is divided by 4? 1 Let v = -471 - -491. Suppose 0 = 5*y - 23 - 332. Calculate the remainder when y is divided by v/(-6)*(-7 + 133/(-35)). 35 Suppose -23 = 2*a + 19. Let n(r) = r**3 + 2*r**2 - 8*r + 3. What is the remainder when 8/(-56) - 822/a is divided by n(3)? 15 Let a(y) be the first derivative of 2*y**3 + y**2 + y - 18. Let l be a(-1). Suppose -251 = -l*f - 21. What is the remainder when f is divided by 24? 22 Let v = 704 - 209. Suppose v = -8*g + 11*g. What is the remainder when g is divided by 56? 53 Suppose g - 2*b = 5*g - 222, 5*g - 3*b - 272 = 0. Let o = 1631 + -1604. What is the remainder when g is divided by o? 1 Let m(j) = -j**3 + 12*j**2 + 14*j + 21. Calculate the remainder when m(13) is divided by (5/3)/(((-1045)/(-198))/19). 4 What is the remainder when 501 is divided by (-8)/(96/(-297)) - 39/52? 21 Let m be (17 - (6 + 7)) + 14*1. Calculate the remainder when (m/(-54))/(1/(-195)) is divided by 23. 19 Let m(h) = -141*h + 1040. Calculate the remainder when m(7) is divided by 15. 8 Let q be (-3)/((-9)/(-12))*-28. Suppose 2*f = 9*f + q. Let k = 55 - f. What is the remainder when k is divided by 37? 34 Let h = -214 + 193. What is the remainder when -1 + 18/14 + (-3354)/h is divided by 55? 50 Let a = 14 - -13. Let c(d) = -6*d + 7. Let s be c(-8). Suppose y - s = 50. What is the remainder when y is divided by a? 24 Let q = 124 + -323. Let a = -120 - q. What is the remainder when a is divided by 27? 25 What is the remainder when 4456/6 - (50 - 44 - (-16)/(-3)) is divided by 81? 13 Let l(h) = 2*h**3 - 38*h**2 + 29*h - 323. Calculate the remainder when 497 is divided by l(19). 41 Let f = -11 - -11. Suppose f*o - 3*o = -30. What is the remainder when o/15 - 530/(-6) is divided by 30? 29 Let n = -5239 + 5903. What is the remainder when n is divided by 41? 8 Suppose 16*f = -108*f + 12152. Calculate the remainder when 300 is divided by f. 6 Calculate the remainder when (-5 + 9)/((40/(-994))/(-10)) is divided by 181. 89 Let i(j) = -j**3 + 80*j**2 + 992*j - 81. Let p = 96 - -26. What is the remainder when p is divided by i(-11)? 14 Suppose 9*a + 6 - 51 = 0. What is the remain
{ "pile_set_name": "DM Mathematics" }
. a, -1, m Let a be (-4)/(-2 - -6) - (-5 - -6). Let w(o) be the third derivative of o**6/120 + o**5/12 - o**3/6 - o**2. Let m be w(-5). Sort a, 0, m. a, m, 0 Suppose -4*c - d - 13 = 0, 5*c - d = -4 - 1. Sort 3, c, -5 in increasing order. -5, c, 3 Let i = 14.3 - 13.9. Sort -0.4, -1/5, i in increasing order. -0.4, -1/5, i Let q = 6 - 5.8. Let z = -0.1 - q. Let s be (1 - 1)/(0 - 2). Sort z, s, 0.5 in ascending order. z, s, 0.5 Let s be (-3)/(-5) + (-21)/(-15). Suppose 10*v - 9 = 7*v. Put s, v, -3 in decreasing order. v, s, -3 Let q = 35 - 35. Put 3, q, -16 in descending order. 3, q, -16 Let y be (-3)/15 - (-2)/5. Let r = -0.6 + -1.4. Put y, r, -4 in increasing order. -4, r, y Let r = 1.62 - 1.12. Put -3/5, 0.1, r, -2/19 in descending order. r, 0.1, -2/19, -3/5 Let n = -536703/13 + 41589. Let w = -304 + n. Let h = 5 + -2. Sort 2, h, w in ascending order. w, 2, h Let s be ((-2)/(14/(-6) + 3))/(-1). Sort 0, 2, s, -3 in descending order. s, 2, 0, -3 Let o(n) = -n**2 + 18*n - 32. Let m be o(16). Sort -61, m, -3. -61, -3, m Let k = -0.08 + 0.38. Let d = -0.26 + 5.76. Let i = -5 + d. Sort k, i, -5. -5, k, i Let v(u) = 4*u**3 - 2*u**2 - u + 1. Let s be v(1). Put -1, -5, s, 4 in descending order. 4, s, -1, -5 Let k = 4.97 - 5. Let d = k - -1.03. Put -0.4, d, 0.4 in ascending order. -0.4, 0.4, d Let r be (-1)/(4/6)*-2. Let d be (-1 + -5)/(-2) + -4. Suppose 5*t = 10 + 5, 2*k = 2*t - 6. Sort r, d, k in ascending order. d, k, r Let g be -1*(2 + -1) - (-1 + -2). Let q(a) = -a**3 + a**2 + 2*a + 1. Let x be q(-1). Let t be 2/3 - (-32)/(-12). Put t, g, x in ascending order. t, x, g Suppose 0 = -2*i - 3*i. Suppose i = -4*v - 2*a - 21 + 3, -4*v - 20 = 4*a. Put v, 2, 0 in increasing order. v, 0, 2 Let x be (-3)/(-3)*(1 - 0). Let i = 13 - 13. Sort i, 3, x. i, x, 3 Let r be 0 + (-9)/6*-2. Suppose -g + 8 - 3 = d, -3*d - 4*g = -20. Sort r, d, 4. d, r, 4 Let t(s) = s + 6. Let k be t(-10). Let u(w) = w + 1. Let q be u(k). Put 2, q, -4 in descending order. 2, q, -4 Let h = 17 + -20. Put 4, h, 5, 3 in decreasing order. 5, 4, 3, h Let j = -53.1 + 53. Put -4, -3, j, -2/7 in ascending order. -4, -3, -2/7, j Let w = 0.05 + -0.55. Let y = 3 + w. Let l = -0.5 + y. Sort -4, l, -0.2 in descending order. l, -0.2, -4 Let m = -182 - -1457/8. Let d = -1.95 + -0.05. Sort d, 4, m in decreasing order. 4, m, d Let z = 5 - 5. Suppose 4 - 1 = q. Suppose q*r - r = z. Sort r, -3, 4. -3, r, 4 Let k be (-1)/(-3)*(-5 + 35)/5. Sort k, 5, -4, -18. -18, -4, k, 5 Suppose 2*u = -4*l - 0*l + 6, -5*u + 3 = 4*l. Put u, -5, -2 in descending order. u, -2, -5 Let g(y) = y**3 + 2*y**2 - 2*y. Let i be g(-2). Put -1/4, i, -1/5, -0.3 in increasing order. -0.3, -1/4, -1/5, i Let b = -10 - -5. Let z(x) = -x**2 - 7*x - 5. Let j be z(-5). Sort -2, j, b. b, -2, j Let r be 4/30*3/(-4). Suppose 5 - 29 = -3*i. Suppose -5*z + 3*z = -i. Sort -3, z, r in descending order. z, r, -3 Let p = -35 + 30. Sort -1, -20, p in descending order. -1, p, -20 Let k(q) = -q - 21. Let f be k(-10). Sort -4, -5, f in descending order. -4, -5, f Let w = -0.3 - 4.7. Let n = 3838 - 134319/35. Let k = 1/35 - n. Put k, w, -0.3 in ascending order. w, -0.3, k Suppose 0 = 2*b - b - 15. Let j be ((-2)/21)/((-5)/b). Put 0.1, 0, j in decreasing order. j, 0.1, 0 Suppose 13*s - 133 = -6*s. Sort 6, -5, s in increasing order. -5, 6, s Let k = -13/14 + 3/7. Suppose 4*a - 4*j + 20 = 0, -2*a - 2*j + 11 = 3*j. Let f(m) = 3*m**2 - 3*m - 2. Let v be f(-1). Sort k, a, v in descending order. v, k, a Let m = -12 - -12. Sort -5, m, -7. -7, -5, m Let o(z) = -6*z. Let p be o(-1). Suppose -20 = a - p*a. Put a, 3, 0 in decreasing order. a, 3, 0 Let q = 0 + -0.3. Let a = -536 - -541. Sort -1/3, a, q in increasing order. -1/3, q, a Let k be 15*(2/(-6))/1. Sort k, -2, -3 in decreasing order. -2, -3, k Let f be 15/(-9) + 4/6. Let z(d) = -d + 33. Let g be z(33). Put f, -3, g in descending order. g, f, -3 Suppose 10 = -0*c + 5*c. Suppose -2*o + 6*o - 136 = 0. Let g be (-2)/(-9) + o/9. Sort c, -2, g in ascending order. -2, c, g Let s(n) = -1 + 0*n + 2 + n. Let v be s(3). Sort v, -1, 5. -1, v, 5 Let i = 20 + -20.4. Let x = 0.7 + -0.2. Put 0, x, i in decreasing order. x, 0, i Suppose -q - 4*q = 4*r + 20, -52 = 4*q - 4*r. Put 3, 4, q in ascending order. q, 3, 4 Suppose -4*o = 5*n - 3 - 32, -o + 40 = -5*n. Let i = -12 + o. Sort 1, -1, i in decreasing order. i, 1, -1 Let n = 0.18 - -0.32. Sort n, 3, -1 in ascending order. -1, n, 3 Let p = 68 - 65. Put 3/7, 0.2, p, -1/3 in descending order. p, 3/7, 0.2, -1/3 Suppose -4*m - 2 = -2*q, 3*q + 3*m = -m + 3. Suppose 12 = -23*k + 19*k. Put k, q, 4 in increasing order. k, q, 4 Suppose 0 = -5*s + 6*s. Put s, -5, 2 in ascending order. -5, s, 2 Let n(d) = -d**2 - 14*d - 3. Let v(y) = y - 3. Let q be v(-11). Let u be n(q). Suppose 4*j = 2*b - 0*j, 0 = -2*b - 3*j. Put -5, b, u in decreasing order. b, u, -5 Let b = 0.134 + -0.034. Sort -2, -9, b in decreasing order. b, -2, -9 Let b be ((-7)/(28/16))/(-26). Sort -2/9, b, 0.3, 0.5 in decreasing order. 0.5, 0.3, b, -2/9 Suppose 0 = -2*f - 1 - 7. Let b be 0 + (-38)/14 + 18/(-63). Sort -2, f, b in ascending order. f, b, -2 Let w = 5.9 + -6.2. Sort -1/6, -1, w, -3. -3, -1, w, -1/6 Let n(j) = -j**3 - 4*j**2 - 2*j + 6. Let b be n(-3). Put -2, 1, 5, b in descending order. 5, b, 1, -2 Let v = 11 - 16. Put 0, 3, v in ascending order. v, 0, 3 Suppose 0 = -o + i + 2, 4*i = i + 3. Suppose 2*q + 1 = -2*c + o, 0 = q - 3. Let p(x) = -x**3 + x. Let z be p(1). Sort c, z, -3 in ascending order. -3, c, z Let s be -6 + (-2)/(-1) + 0. Let a = 3.12 + -0.12. Sort -1/4, s, a. s, -1/4, a Suppose 0 = -10*v + 13*v - 81. Let f be (18/v)/((-10)/9). Let r be 6/15*(-9)/(-6). Sort 0.4, f, r. f, 0.4, r Let i(s) = 4*s + 1. Let u be i(-1). Let t = 0 + 1. Let h = 1 + t. Put u, h, 0 in decreasing order. h, 0, u Let u(k) = -k - 4. Let z be u(-7). Let d be 4*(2 + 6/(-4)). Suppose -z*f - 1 = 2*i, d*i - 13 = -5*f + 6*i. Put 0, 3, f in decreasing order. 3, f, 0 Let x = 58 - 51. Sort x, 3, 0, -1 in increasing order. -1, 0, 3, x Let o = 2.6 + -3. Suppose 0 = -3*q - 2*q. Suppose 2*y - 8 = -4*s - 0*y, 2 = 4*s + 5*y. Put o, s, q in descending order. s, q, o Suppose -3*i + 11 = -1. Suppose 3*v - i = -5*q, -4*q = v + 3*v - 8. Let j be (2/4)/((-9)/6). Put -2/7, j, v in ascending order. j, -2/7, v Suppose o - 1 = 4. Suppose 2*w = j + 8, 4*w - 1 - 1 = -o*j. Put j, 2, 1 in descending order. 2, 1, j Suppose 0 = 2*s + 4 - 10. Let q be ((-1)/s)/((-3)/45). Suppose -2*n + 15 = -q*n. Sort -3, n, -4 in descending order. -3, -4, n Let u = -0.1 + 0. Let t = 0.3 - u. Let w(q) = -q**2 - 8*q - 5. Let r be w(-7). Put -2, r, t in decreasing order. r, t, -2 Let y = 2.3 + -5.3. Put -4, y, 3 in descending order. 3, y, -4 Suppose c + c - 2*v = 8, c = -4*v - 1. Put c, -2, 4 in ascending order. -2, c, 4 Let w be 2 - 1*(0 + 1). Let v be (-2 + w)*(-2)/4. Let p = -3 + 2.8. Put v, p, -1 in descending order. v, p, -1 Let r = -25.98 - 0.02. Let n = r - -14. Let u = n + 7. Sort -4/7, 5, u. u, -4/7, 5 Let a = -0.424 - -0.024. Let j = -2 - -2.5. Put a, -2/11, j in increasing order. a, -2/11, j Let t(m) = -m - 2. Let r be t(-5). Let i(v) = -3*v + 1. Let x be i(2). Sort r, 0, x in increasing order. x, 0, r Let g = -7 + 5. Let k = -1 - g. Put 0, 3, k in descending order. 3, k, 0 Let c = -116 - -237/2. Put 3/2, -1/4, c, -5 in decreasing order. c, 3/2, -1/4, -5 Let a be 5/(-2)*6/5. Suppose -5*n = 4*r + 13, 6*r = r - 4*n - 5. Sort 4, r, a. a, r, 4 Suppose 3*w + 2*v = 3*v - 6, -4*v + 10 = -5*w. Let a be (10/(-6))/(2/6). Let t be 1 + 4 + -1*2. Sort w, a, t in increasing order. a, w, t Let q be (-4)/(-2) - 20/9. Put -4, 2, 4, q in descending order. 4, 2, q, -4 Let u be ((-2)/3)/(-1) - 0. Let s(j) = -11*j + 22. Let n be s(2). Put 1, u, n in ascending order. n, u, 1 Let n = -0.5 + -2.5. Let z = 1 - 0.7. Put z, 3, n in decreasing order. 3, z, n Let g(t) = t**3 - 7*t**2 - 9*t + 9. Let x be g(8). Let b = 3.3 - 3.3. Sort x, 5, b. b, x, 5 Let f(d) = 2*d - 19. Let v be f(9). Put -2, v, 11 in decreasing order. 11, v, -2 Let f = 115 + -111. Let t(j) = -5*j**2 - 6*j + j**3 + 0*j + 7 + 4*j. Let r be t(5). Sort r, f, -2. r, -2, f Let h be (-2*(1 + -3))/1. Suppose h*m + s - 1 = 3, s + 6 = m. Let j = m - 0. Sort j, 1, 3 in increasing order. 1, j, 3 Let d = -16 - -15. Put d, -2, 5 in increasing o
{ "pile_set_name": "DM Mathematics" }
+ 2 + -26 2/41 What is the value of (-52)/(-273)*3 - -62*3/(-252)? -1/6 Calculate ((-13)/(-52))/((-44)/96). -6/11 Evaluate (8/(-30))/(1020/(-450)). 2/17 Calculate (-10 - -27) + (-973)/56. -3/8 What is (-396 - -392) + 17 + 2? 15 What is the value of 6/20 + 4/(-5) - 84/(-21)? 7/2 Calculate ((-166)/415)/(((-30)/125)/((-8)/(-30))). 4/9 Calculate 119/(-35)*1445/(-374) - 13. 3/22 Calculate ((-3)/3)/(728/20384). -28 Calculate (3 + 34*(-8)/(-16))*(-2)/(-8). 5 What is (-19)/(-3) - (-77)/66*(-6)/21? 6 Evaluate 244/41 - 60/(-1230). 6 -15 - (6 + -4 - 5) -12 Evaluate -14 - 38/171*(-903)/14. 1/3 What is (-33)/15 + 4284/170 + -20? 3 What is the value of ((-580)/(-725))/((-44)/10)? -2/11 (-1)/2*(-12)/(-4) - (-77 + 75) 1/2 Calculate ((-324)/1296)/(2*1/40). -5 -9 + (2/3)/(((-320)/816)/10) -26 (54*(-11)/(-10692))/((3/20)/(-3)) -10/9 Calculate (3/26)/((-218)/(-1417)). 3/4 Evaluate (1*(-24)/(-10) - 4)/1. -8/5 Calculate -6 + 7 + 6/15 + (-72)/40. -2/5 Calculate ((-66)/(-99))/((-8)/(-30))*16/(-460). -2/23 Calculate 2/(-1) - -15*40/100. 4 (-412)/330 - 6/(-9) - 394/(-985) -2/11 What is (-4)/(-5)*(-10)/4*-4? 8 Evaluate (-16)/(-2)*(523 - 525). -16 Calculate -4*(-4)/(-40) + 2332/(-2120). -3/2 Calculate (-24)/54 + (169/(-234))/13. -1/2 What is the value of (-2 + -3)*38/(-1995)*-21? -2 What is -12*3*-2*17/68? 18 What is (-190)/6*792/(-1320)? 19 Calculate -7 - (2/4)/(68/(-476)). -7/2 ((-3)/(-33))/(42/462) 1 What is (538/(-70) - (-665)/475) + 6? -2/7 ((-6)/75)/(101/505) -2/5 ((-176)/40)/((-32)/(-80)) -11 What is (29 - -6 - 28)/(2 - 1) - 38? -31 What is the value of (-13)/2*19/((-5434)/484)? 11 What is 2*14/8*(6972/784 + -9)? -3/8 What is 6/4*(-3)/(-63)*(2 - -8)? 5/7 What is the value of ((-4)/(-406))/(25/(7350/(-84)))? -1/29 ((0 - -6) + -4)*259/(-74) -7 Evaluate (-8)/(-48) + (173/4)/(267/178). 29 Evaluate (3*19)/((6/(-12))/(5/30)). -19 -7 + (-4 - 100/(-4)) 14 What is the value of 3 + (-32)/10 + (32/(-280))/(-2)? -1/7 ((-6 - -7) + 9/5)/((-56)/(-140)) 7 Calculate 39/(3705/266)*-5. -14 What is 27/306*(16/24)/((-4)/(-12))? 3/17 Evaluate ((-1129)/22580)/((-4)/10). 1/8 What is 8/(-18)*((-4)/(-54) - (-109)/(-378))? 2/21 What is (3/10)/(546/6370)? 7/2 Evaluate (104/(-140) - 34/85)*(-35)/(-10). -4 What is the value of (-18)/27*(-54)/4? 9 (((-86832)/180)/67)/(6/20) -24 Evaluate (-232)/(-638) + (-1 - (-380)/44 - -2). 10 What is the value of ((-4)/3)/(9 + (-1120)/63 - -3)? 3/13 What is 384/(-462) - (864/(-132) - -6)? -2/7 What is (-24)/18*49/28? -7/3 Evaluate (21/315)/((-5)/(-250)*4). 5/6 (-16)/(-54)*(-120)/(-640) 1/18 Evaluate (-2)/(209/(-176)*-16). -2/19 20852/(-442) + 47 - 82/(-850) -2/25 What is the value of (-4)/152 - 552/684? -5/6 Evaluate 1/((-344)/40 - -9). 5/2 Evaluate (230 - 215) + 106/(-2 - 0). -38 ((-9)/180*5)/(50/(-16)) 2/25 What is (3 - 20/8)/(((-102)/252)/(-17))? 21 8/(-100) - (-39)/350*2 1/7 25 + 2 + (137 - 153) 11 Calculate (-297)/(-77) - 20/5. -1/7 30 + -22 - 10 - (29 - 0/(-3)) -31 (-672)/98 + 7 - (-38)/(-70) -2/5 61 + -14 + (-1)/((-9)/(-126)) 33 (0 + (-49)/35)*(1/1 + 0) -7/5 Evaluate -5*((-2)/135)/((-59)/177). -2/9 What is (-2 + 48/27)/((-7)/126)? 4 Evaluate (10/(-42))/((324/63)/(-18)). 5/6 Calculate (2/(-120)*-9)/(169/676). 3/5 What is 250/30*1/(-5)? -5/3 (5 - (-6)/(-2) - 13) + (11 - -9) 9 36624/(-6976)*72/14 -27 Evaluate (-116)/(-464) + (2 - (-37)/(-4)). -7 Evaluate 48/(-32)*10 - -10 - (-17 + 0). 12 Evaluate (6/9)/((-14)/(-84)). 4 Calculate (-3)/(-2 + 3/((-30)/(-23))). -10 ((-171)/(-1330))/((-33)/(-22)) 3/35 What is the value of 78/(-3) - (-364)/28? -13 What is -3 + -4 + (8*(-2)/(-16) - 4)? -10 What is the value of (-8 - 78/(-6)) + 16 + -26? -5 What is the value of 8/1 - (-3 + (120/(-10) - -10))? 13 What is the value of ((-1)/13*2)/((-24)/24)? 2/13 Evaluate 2057/957 + 4/232. 13/6 Calculate 5/(7 + -8)*(-68)/(-20). -17 ((-2)/(-6)*(-693)/154)/(18/(-156)) 13 Calculate 2/(-17) - (29890/2856)/35. -5/12 14*(-27)/(-315) - 1 1/5 What is (1776/(-885) - -2)*(51 + -46)? -2/59 What is the value of 25718/(-2520) + 12 + (-2534)/315 + 8? 7/4 What is (24/4248)/((-20)/(-120))? 2/59 Calculate (-8624)/2562 - (-20)/6. -2/61 Calculate 300/(-14) - (-525)/25. -3/7 Evaluate (-8)/30*(-4550)/(-2184). -5/9 Calculate -7 + 162/27 + (-5 - 1) + -6. -13 -28*((-34)/(-52) + 8/(-52)) -14 30*15/100*(-24)/9 -12 What is the value of ((-8)/64)/(18/432)? -3 Calculate (-25*10/(-600))/(8*5/80). 5/6 What is the value of 408/544 - (-2)/(-8)? 1/2 Calculate ((-1628)/110 + 13)/(-2*1/20). 18 What is 4 + (-3162)/391 + (-5)/((-115)/2)? -4 84/378 + 952/252 4 What is the value of (2*(-2)/(-54))/((-5)/(-9))? 2/15 What is (-24)/(42 - (-798)/(-21))? -6 (-15)/(0 + 126/7) + 1/(-3) -7/6 Evaluate ((-130)/(-15))/(-26)*1*(3 - 24). 7 7 + 0 - ((-1989)/15)/(-13) -16/5 (168/112)/((-10)/((-1300)/(-15))) -13 572/(-6578) - (930/207)/2 -7/3 Evaluate (-40)/(-60) - (84/30)/((-39)/(-5)). 4/13 What is (-42)/80 - (-5 - (-13 + (-84)/(-10)))? -1/8 Evaluate 2135/(-11590)*4/(-7). 2/19 What is 1/((-3)/(-15)*(-1900)/(-228))? 3/5 Calculate (-950)/152*(-3 + (-85)/(-25)). -5/2 What is the value of 24/828 + (-1700)/11040? -1/8 What is the value of -7 + ((-900)/(-375))/((-3)/10) - -1? -14 What is (((-14)/(-105))/(166/(-1245)))/((-1)/(-16))? -16 What is 12 - ((-7)/(-5) - (-84)/(-35))? 13 What is the value of (-10)/(-4)*4/(-24)*(-9016)/(-3220)? -7/6 (-4)/60 + (4*6/60)/1 1/3 What is 6 - (-4 - (-108)/24)*(-16)/2? 10 What is the value of ((-17)/3468*-34)/(14/(-24))? -2/7 What is ((262 - 15)/(-13) + -3)/(-2)? 11 What is the value of ((-3)/(4 + 11))/((-8)/600)? 15 What is 1/(-4)*((-258)/(-15) + -17)? -1/20 What is ((-10)/(-25))/(-5 - 13/((-585)/222))? -6 What is the value of (198/(-77))/((-4)/12 + 414/756)? -12 Evaluate ((-52)/(-5) - 10)*((-210)/(-33) + -5). 6/11 What is the value of (-23)/(-1610)*14 - 112/10? -11 What is the value of (-146)/(-70) - (1 + (-25)/35)? 9/5 Evaluate 5 + ((-13)/91)/(16/(-392)). 17/2 What is (3*(-290)/(-210) - 6/(-7))*1? 5 Evaluate ((-24)/(-5))/8 - -3*22/90. 4/3 What is the value of 4/34 - 5184/153*-1? 34 Evaluate (16/6 - 3) + (-686)/294. -8/3 Evaluate 2982/(-6390)*4/(-14). 2/15 Calculate ((-8)/6 + (-85)/(-60))*22/(-33). -1/18 What is -13 - (-112)/7 - -8? 11 What is 0 - -4 - ((-654)/(-24) + -24)? 3/4 What is the value of 2 + (((-5)/(-3))/(25/(-70)) - -8)? 16/3 What is 43/((-430)/(-12))*(-10)/(-3)? 4 Calculate (39 - 4850/125) + 1*(-12)/(-15). 1 (5*(-30)/40)/((-10)/24) 9 Evaluate 38 - 58 - 680/(-35). -4/7 What is the value of (841 - 835) + 30/2? 21 What is the value of ((-27)/234)/(48/(-32))? 1/13 Calculate -12*((-280)/21)/(-8)*3/4. -15 What is (7/3)/(27 + 3 + -37)? -1/3 Evaluate (-143)/(-143)*((-40)/15)/(-8). 1/3 What is the value of -39 - -33 - (1 - (-38)/(-6))? -2/3 What is (4/(-14))/(900/(-47775)) - 15? 1/6 (-3 - -1)*(-117)/(-390) -3/5 What is the value of -11*(-16)/((-32)/2)? -11 Evaluate 1617/44*(-136)/(-1428). 7/2 What is 8/(-154)*336/(-32)? 6/11 What is the value of (4/(-11))/2 + (-109)/((-67144)/(-768))? -10/7 What is the value of (2/(-3))/(60/(-80)*-4)? -2/9 Calculate (-1 - -3)*29/(-232) + (-13)/(-20). 2/5 What is the value of (-4142)/(-513) - 12/162? 8 Evaluate (245 - 233)*((-16)/6)/4 + -11. -19 What is (-144)/612 - (-777)/51? 15 What is the value of 4/(-34) + (-6336)/(-7616)? 5/7 660/22*(-5)/30 -5 (-268)/760 + 213/710 -1/19 (-20)/(4400/(-4380)) + -20 -1/11 What is the value of ((41/(-451))/((-60)/(-66)))/(2/25)? -5/4 Calculate (6/9 - (-156)/9) + 0/(-115). 18 What is the value of ((-440)/990)/(((-5)/20)/((-9)/(-4)))? 4 What is (-34)/(-119)*(-21)/(-18)*3/(-11)? -1/11 What is the value of (6/(-9))/((-9)/((-2673)/22))? -9 61/((-36783)/134)*(-27)/23 6/23 What is the value of 15/12 - (-135)/20? 8 -25 - -2 - (-57 - -36) -2 Calculate (3 - (-33)/(-18))*(-135)/126. -5/4 Evaluate (-3 + 1)*((-18)/40)/((-600)/1000). -3/2 Calculate 60/29 + (-402)/5829. 2 Calculate (-12 + 20)/(-7 + 6). -8 What is -1356 + 1375 - (-496)/(-26)? -1/13 What is 1*-5*1 + (-69)/((-2415)/(-560))? -21 What is the value of (-169 - -169)/(-2*2)? 0 Evaluate ((-60)/8 + 3)/(-11 + 368/32). -9 Calculate -1*(1 - -5) - (9 - 14 - -9). -10 Calculate 8/60 - (387/(-54))/((-30)/(-12)). 3 Calculate ((-6)/2)/(36/(-8)) + (-38)/30. -3/5 Calculate 2/39*26*(-351)/364. -9/7 What is (3/(-4))/(36/(-6624)*-23)? -6 What is the value of (2/(20/35))/((-1)/4*2)? -7 Calculate ((-38)/(-
{ "pile_set_name": "DM Mathematics" }
18873 Simplify -3 + (sqrt(144)/sqrt(4)*-1)/sqrt(3). -2*sqrt(3) - 3 Simplify ((sqrt(440) - ((sqrt(440) - sqrt(440)*2) + sqrt(440)))*-2)/(sqrt(10) + sqrt(160) + sqrt(10)). -2*sqrt(11)/3 Simplify (1*(1 + -5*(sqrt(117)/(sqrt(9)*1) - sqrt(13))))**2. 1 Simplify 5*(-4*sqrt(1216)*2 + (-2*sqrt(1216)*1)**2). -320*sqrt(19) + 24320 Simplify (-3 + (sqrt(832) + 0)*-6 + -3 + -1 + -1)**2. 768*sqrt(13) + 30016 Simplify (-2 + (1*sqrt(209)*2 + sqrt(209))/sqrt(11) - -4*((sqrt(171) - sqrt(19)) + sqrt(19) + sqrt(19) + 4)*-1)**2. 468*sqrt(19) + 3535 Simplify (sqrt(110)/(sqrt(2) + sqrt(32)))/(-3*sqrt(405) - sqrt(5)) + 1. -sqrt(11)/140 + 1 Simplify ((sqrt(539) - 2*(sqrt(539) + (1 + sqrt(539) - sqrt(539)) + sqrt(539))) + -5*(sqrt(539) - (sqrt(539) - (-1 + sqrt(539)))) + 2*(-3*sqrt(539) + 1))**2. -980*sqrt(11) + 105669 Simplify (6*(-3 + -4 + (sqrt(40)/sqrt(2))/sqrt(10) + 3)*3)**2. -2592*sqrt(2) + 5832 Simplify 2 + ((-1*sqrt(55))/sqrt(11) + -2 - (sqrt(120)/(sqrt(18)/sqrt(3)))/sqrt(4))**2 + -5. 8*sqrt(5) + 21 Simplify ((sqrt(162)*1 + 0 + sqrt(162) + (sqrt(162) + 0)*2)*3)**2. 23328 Simplify (((sqrt(176) - (sqrt(176) - (sqrt(176) - (sqrt(176) + -1)))) + -4)*-1)**2 + (6*(sqrt(891) - (1 + sqrt(891))*-5))**2. 19440*sqrt(11) + 1155645 Simplify (6*(-1 + sqrt(1331) + -4*sqrt(1331) + 1) + 4)**2. -1584*sqrt(11) + 431260 Simplify ((-5 + sqrt(117) - sqrt(13) - (-5 + (sqrt(13) - (2*sqrt(13) + sqrt(13))))) + (sqrt(1872) - (-3 + sqrt(1872) + -2)) + sqrt(1872))**2. 160*sqrt(13) + 3353 Simplify 5 + -1 + (sqrt(931) - 5*(-1*sqrt(931))**2 - (0 + sqrt(931) + -1)). -4650 Simplify (6*-5*-1*sqrt(130))/(sqrt(10) + (1*sqrt(80))/sqrt(8) - sqrt(90)/(sqrt(18)/sqrt(2))) + 4. 4 + 30*sqrt(13) Simplify 5*(6*2*sqrt(117) - sqrt(117))/(sqrt(81)*1). 55*sqrt(13)/3 Simplify 3 + sqrt(63)/(sqrt(729) - sqrt(9)) + (sqrt(112))**2. sqrt(7)/8 + 115 Simplify (sqrt(60)/(sqrt(144)/sqrt(192)) + (4 + sqrt(15)/sqrt(3))*-5 + -4)**2. 48*sqrt(5) + 581 Simplify (1 + (sqrt(2448)*1 - sqrt(2448)) + sqrt(2448))**2 + (4 + sqrt(272) + 3)**2. 80*sqrt(17) + 2770 Simplify 3 + (-3 + 1 + -2*sqrt(2))**2 + 4. 8*sqrt(2) + 19 Simplify 3 + 1 + ((sqrt(3200) + -1)*-4)**2. -1280*sqrt(2) + 51220 Simplify ((2 + 2*sqrt(567)*3)*3)**2. 1944*sqrt(7) + 183744 Simplify (5*(sqrt(1377) + 1)*-4 + 1*2*-1*sqrt(1377))**2. 7920*sqrt(17) + 666868 Simplify 2 + -2 + 1*sqrt(405) + 4. 4 + 9*sqrt(5) Simplify (sqrt(256) + 1*sqrt(256)*4)/((sqrt(4)*1)/sqrt(2) - sqrt(2) - sqrt(6)/sqrt(27))*5. -600*sqrt(2) Simplify (-5 + 2 + sqrt(539))*3 - 4*((-3 + sqrt(539) + 0 - sqrt(539))**2 + sqrt(539)). -45 - 7*sqrt(11) Simplify (-6*(4 + (sqrt(242) - (0 + sqrt(242) + 1) - sqrt(242) - sqrt(242)) + 1*((sqrt(242) - -4*1*sqrt(242)) + sqrt(242))))**2. 9504*sqrt(2) + 139716 Simplify ((-1*sqrt(336) + sqrt(336) + sqrt(336) + sqrt(336))/sqrt(8) + sqrt(42))/(sqrt(6) - sqrt(384)*4). -3*sqrt(7)/31 Simplify 5 + 1*1*(2 + 1*sqrt(192) - sqrt(192)). 7 Simplify (2 + sqrt(176) + 2 - -6*-3*sqrt(176))*-3*4. -48 + 816*sqrt(11) Simplify sqrt(432) - (((-4*sqrt(432))**2 - sqrt(432))*3 + sqrt(432)) - (3*sqrt(432) + -4). -20732 Simplify ((sqrt(405) + -4*sqrt(405))**2*-2 + -1 + sqrt(405)*4)*-1. -36*sqrt(5) + 7291 Simplify 4*(0 + sqrt(14)/sqrt(18) + sqrt(7) - (-2 + sqrt(252)*1)**2) + 0. -1024 + 304*sqrt(7)/3 Simplify 0 + 2 + (sqrt(171) + 1 + 2*sqrt(171) - (sqrt(171) + (sqrt(171) - ((sqrt(171)*1 - sqrt(171)) + -1)**2) + sqrt(171)))*2. 6 Simplify (1*sqrt(110)*-4 - (sqrt(110) - 5*1*sqrt(110)))/(4*sqrt(360)*-4). 0 Simplify (sqrt(392)*-3)/(sqrt(44)/(sqrt(11)*-2) - sqrt(4))*-1. -14*sqrt(2) Simplify ((sqrt(425)*-5 + -1 - (sqrt(425) + (sqrt(425)*5 + sqrt(425) + sqrt(425) + sqrt(425) - sqrt(425) - sqrt(425))*4))*3)**2. 2700*sqrt(17) + 3442509 Simplify -5*(sqrt(175) + ((sqrt(175) - sqrt(175)*-3)*3)**2) + ((-5*sqrt(175)*1 + sqrt(175))*2)**2. -114800 - 25*sqrt(7) Simplify (-1*(sqrt(1728) + sqrt(1728)*-1 + sqrt(1728)) + sqrt(1728) + sqrt(1728))/(-2*sqrt(9)*1 + 1*sqrt(225)). 8*sqrt(3)/3 Simplify (-1 + (-1 + sqrt(16)/sqrt(8) - (3 + sqrt(2) + 0)))**2. 25 Simplify 3 + 4 + (-3*sqrt(1008))**2 + sqrt(1008) + -3 + sqrt(1008) + 4 + sqrt(1008). 36*sqrt(7) + 9080 Simplify (sqrt(198)*-5)/(sqrt(8)/sqrt(4)*4) + 0. -15*sqrt(11)/4 Simplify (3*(-5 + 3*(sqrt(1053)*2 - sqrt(1053))))**2 + -1. -2430*sqrt(13) + 85517 Simplify ((2*sqrt(77)*-6)/sqrt(7))**2 - (1 + (-1 + sqrt(11)*2)**2). 4*sqrt(11) + 1538 Simplify (-1*sqrt(108)*-2)/(-6*4*sqrt(441)). -sqrt(3)/42 Simplify (3*(sqrt(405) + 4 + sqrt(405)*-1)**2 + -1 + -5)*-4. -168 Simplify (1*-2*sqrt(704))/(sqrt(256) + -3*sqrt(256)*2 + sqrt(256) - sqrt(256)). sqrt(11)/5 Simplify (sqrt(3969)*1 - sqrt(3969))/(1*(sqrt(28) + sqrt(7))) - (sqrt(14)/(sqrt(32)*-4) + -2). sqrt(7)/16 + 2 Simplify 1*(2 + 3*((2*sqrt(40))/sqrt(2) - sqrt(20))) + -4. -2 + 6*sqrt(5) Simplify -5*(sqrt(18)/(sqrt(48)/sqrt(2)) + 4*(sqrt(3) + 1 + sqrt(3))**2 + 1*sqrt(192)). -260 - 245*sqrt(3)/2 Simplify -3*((sqrt(104)/(sqrt(2) - -2*sqrt(2)))**2 + (sqrt(468) + 1)**2). -4273/3 - 36*sqrt(13) Simplify 3*-4*(1*sqrt(396)*-1)**2. -4752 Simplify 5 + (-2 + sqrt(320) + -5 + 5)**2. -32*sqrt(5) + 329 Simplify (5 + sqrt(252) + 0)**2*1 + -5. 60*sqrt(7) + 272 Simplify ((sqrt(315) - -1*sqrt(315)) + -4*sqrt(35)*2 + sqrt(35))/(sqrt(45)/(-2*sqrt(9)*2)). 4*sqrt(7) Simplify -3 + ((-3*sqrt(228)*1)/(sqrt(1728) - sqrt(1728)*-2))**2 + -4. -989/144 Simplify 0 + (sqrt(42) + sqrt(294)/sqrt(7))/sqrt(6) + (sqrt(7)*2*-4)**2. 2*sqrt(7) + 448 Simplify (sqrt(342)/(sqrt(900)*2))/(3*3*sqrt(2)*5). sqrt(19)/900 Simplify (1*(-3 + sqrt(208)) + sqrt(208)*-2 + -4 + -3)**2*5. 400*sqrt(13) + 1540 Simplify ((2*-3*sqrt(95) - sqrt(95) - sqrt(95))/(sqrt(30)/sqrt(6)*-1))**2 + -1. 1215 Simplify 1 + (-4*(2 + sqrt(1300)) - (2 + sqrt(1300) + -5)**2) + 2. -1314 + 20*sqrt(13) Simplify 2*((sqrt(1078)*-1)/((sqrt(2) - -2*sqrt(2))*4 - sqrt(2)))**2*3. 294/11 Simplify (2*sqrt(78)/sqrt(3))/((sqrt(50)/sqrt(5))/sqrt(5)). 2*sqrt(13) Simplify (6*(4 + sqrt(7) + sqrt(21)/sqrt(3) + (sqrt(7) + 0 + sqrt(112) - sqrt(7)) - sqrt(21)/(sqrt(3) - sqrt(432)*1)))**2. 19296*sqrt(7)/11 + 1200924/121 Simplify (-3 + 5*(-3 + sqrt(13))*4 + 2)**2. -2440*sqrt(13) + 8921 Simplify (sqrt(91)*-2*-4 + sqrt(91) - (sqrt(91) + 5*(sqrt(91)*-2 + sqrt(91))))/(sqrt(175) - (sqrt(175)*-1*-5 + sqrt(175))). -13*sqrt(13)/25 Simplify (-4*(3*(-3 + sqrt(700)) - (1 + sqrt(700))*-2))**2. -11200*sqrt(7) + 280784 Simplify 5 + sqrt(2450) + 2 + 5. 12 + 35*sqrt(2) Simplify -6*(-1 + -3*sqrt(612) + sqrt(612) - (sqrt(612) + 2 + sqrt(612) + 0 + sqrt(612))). 18 + 180*sqrt(17) Simplify (sqrt(10)/sqrt(2)*2 + sqrt(45) + 0 - (3 + sqrt(500)*-1)) + 2. -1 + 15*sqrt(5) Simplify (1 + (sqrt(500) + -1*sqrt(500))**2 + (sqrt(500) + -2)**2*4)*2. -320*sqrt(5) + 4034 Simplify (2 + sqrt(832) + 1 - -1*(sqrt(832) - (sqrt(832) + 0)))**2*-3. -2523 - 144*sqrt(13) Simplify (-3*(sqrt(57) - 2*sqrt(57)))/sqrt(3) - (sqrt(19) - (sqrt(684) + 0) - ((sqrt(57)/(sqrt(3)*2 - sqrt(3)) - sqrt(19)) + sqrt(19))). 9*sqrt(19) Simplify (sqrt(400)/sqrt(40) + -4*2*sqrt(40))/(5*(sqrt(200) + sqrt(8))*6). -sqrt(5)/24 Simplify 3 + 1*(sqrt(245) - (sqrt(245) - (sqrt(245) + 1)))**2 + sqrt(245) + 4. 21*sqrt(5) + 253 Simplify (-4*4*4*sqrt(1008) + 0)*-3. 2304*sqrt(7) Simplify (sqrt(2448)*-2*-6*3 + -1*sqrt(2448)*-5*-6)**2. 88128 Simplify (-1*(-3*sqrt(68) - sqrt(68)))/(sqrt(196) + 3*sqrt(196)). sqrt(17)/7 Simplify -3*sqrt(704)*-2*-1*-1*4*3. 576*sqrt(11) Simplify (sqrt(189) - (sqrt(189) + 2*sqrt(189)))/(sqrt(3) + (-2*sqrt(6))/sqrt(2)) + 3 + 1. 4 + 6*sqrt(7) Simplify (2*(sqrt(425) + -1) - (sqrt(425) + 0)*1)**2*2 + 1. -40*sqrt(17) + 859 Simplify ((-2 + (sqrt(475) + -3 + 1 - sqrt(475)))*4)**2. 256 Simplify (sqrt(432) + sqrt(432)*2 + sqrt(432))*1 + -3 + (-5 + 1*(sqrt(432) - -2*sqrt(432)))**2. -312*sqrt(3) + 3910 Simplify (2*(4 + sqrt(432) + (2*sqrt(432) - sqrt(432)) + sqrt(432)))**2 + (-5 + sqrt(432) + -1)*-5. 1092*sqrt(3) + 15646 Simplify 4 + (3 + -2*((sqrt(49)/(sqrt(14)/sqrt(2)) - sqrt(7) - sqrt(7)) + sqrt(63)*-1))**2. 48*sqrt(7) + 461 Simplify ((sqrt(360) - -1*sqrt(360))/sqrt(10) - sqrt(36))/(sqrt(144)/sqrt(192)) + -4. -4 + 4*sqrt(3) Simplify -4*(4 + 1*sqrt(117) + 5)**2*1. -792 - 216*sqrt(13) Simplify ((sqrt(4)/sqrt(2))**2 + 0)*5 - (-4 + (sqrt(8) + 3)**2). -12*sqrt(2) - 3 Simplify 4 + ((sqrt(200) + (sqrt(200) - 4*(sqrt(200) + -2)) + (sqrt(200) - (sqrt(200) + sqrt(200) + -4)) + -5)*-2)**2. -1680*sqrt(2) + 7400
{ "pile_set_name": "DM Mathematics" }
ending order. -3/4, n, b Let b = -17.6 + 22. Let a = b - 4. Let g = 4.6 - 0.6. Put g, a, -2 in descending order. g, a, -2 Let d = -0.03 + 0.07. Put -1, 2, -2, d in descending order. 2, d, -1, -2 Suppose 4*b + 2 + 6 = -n, 0 = 3*n + 4*b + 8. Suppose n = -2*l + 2 + 4. Put 1, l, -4 in descending order. l, 1, -4 Let t = 24 - 17. Suppose t*r - 50 = 2*r. Put r, 2, -4 in decreasing order. r, 2, -4 Let x = 0.9 + -1.4. Sort 2, x, -0.1. x, -0.1, 2 Let d(s) = 4*s + 1. Let b be d(1). Let f = b + -6. Sort f, -5, 5. -5, f, 5 Let w(g) = 6*g**3 - g**2 + g - 1. Let a be w(1). Sort 1, -1, a in increasing order. -1, 1, a Let t = -7 - -2. Let q = -9 - -14. Let d be (-8)/(-28) - (-2)/(-7). Put d, q, t in ascending order. t, d, q Suppose -9 = -5*g + 3*o, 2*o + 8 + 3 = 5*g. Suppose -5 = -4*h - 1. Suppose -3*v = 2*v. Put v, g, h in descending order. g, h, v Let y = -2 + 0. Let o = -2.4 - y. Let i = -54 + 52. Sort o, i, -1. i, -1, o Suppose 9*v - 8*v = 4. Sort -4, v, -3 in descending order. v, -3, -4 Let p = -7.08 + 0.78. Let b = -6 - p. Let m = 8 - 6. Put -1/2, b, m in ascending order. -1/2, b, m Let z be ((-2)/60)/(2/8). Let d = -0.54 - 0.06. Let r = -1 - d. Sort r, z, 1 in decreasing order. 1, z, r Let t = 0.13 - 0.15. Put -0.3, -2/3, t in ascending order. -2/3, -0.3, t Let c be 1 - (0 - -2)*37. Let l = c + 514/7. Put l, 3, 5 in ascending order. l, 3, 5 Suppose 5*h - 2*k = -46, 4*h + 5*k + 10 = -7. Put h, 5, 7 in decreasing order. 7, 5, h Let p(q) = -q**2 - 3*q - 3. Let x be p(-2). Let a = x + 2. Let t be (-1)/4 + (-1)/28. Sort 1/3, t, a in increasing order. t, 1/3, a Let v be 48/(-8)*(-1 + 0). Let w be (v/(-8))/(-3)*-2. Put -0.3, -1, w in ascending order. -1, w, -0.3 Let r = -4 + 6. Suppose -2*d + 6 = 0, 2*t + 3*d - 3 = r*d. Put -2, 2, t in decreasing order. 2, t, -2 Let z be 6*(-2)/4*(-16)/(-12). Let m(l) = -l - 1. Let y be m(-2). Put -1, y, z in increasing order. z, -1, y Let q(y) = y**2 - 3*y - 24. Let v be q(7). Put v, 5, -3, -2 in decreasing order. 5, v, -2, -3 Suppose -2*z + m - 1 = 0, -2*z + 3 - 6 = m. Let a be 2/2 - (2 - 2). Put z, a, 0 in decreasing order. a, 0, z Suppose 5*x + p - 253 = 0, 5*p = -0*p + 15. Let f be 3/10*x/20. Let s be (-12)/16*(-4)/(-6). Put s, -4, f in descending order. f, s, -4 Suppose -k = 3*v - 15, -5*v - 15 = -3*k - 4*v. Let q = -3 + 1. Sort 4, k, q in decreasing order. k, 4, q Suppose 9*u = 6*u - 15. Put -2, 11, u in decreasing order. 11, -2, u Let q be (8/(-10))/(2/10). Sort -12, 3, q in decreasing order. 3, q, -12 Suppose 0 = 4*b - 9*b + 20. Sort b, 6, -4 in ascending order. -4, b, 6 Let i be (-2)/(0 + (-2)/3). Suppose 3*s = i + 12. Put 4, s, 4/5 in increasing order. 4/5, 4, s Let q be 2/(-4) + 4/(-8). Let t(d) = d**2 + 7*d - 4. Let c be t(-7). Sort 1, q, c. c, q, 1 Let q(d) = d**2 - 2*d - 2. Let v be q(2). Let m = -4 - -7. Put m, 4, v in ascending order. v, m, 4 Let n = -9.16 - -0.46. Let a = n + 1.7. Let s = 5 + a. Sort 0.3, s, 5 in ascending order. s, 0.3, 5 Suppose -3*q + 15 = 4*g, -g + 8 = 3*q + 2. Put 2, q, -4, 12 in increasing order. -4, q, 2, 12 Suppose 0 = t - y - 2*y - 4, 3*t = -3*y - 12. Let u be ((-2)/2)/((-2)/(-6)). Let m(g) = -2*g - 22. Let a be m(-13). Put t, u, a in descending order. a, t, u Let n be 6*(-1 + 3/2). Suppose 3*w - 2*t = w - 10, 6 = n*w + 4*t. Put w, 4, -3 in descending order. 4, w, -3 Suppose -2*x + 4*p - 6 = 0, -2*p - 9 = 3*x - p. Let n be (-2)/5*-8 + 13/(-65). Put x, -2, n in descending order. n, -2, x Suppose 4*b = 3*i - 0*b - 8, 0 = 2*i - 4*b - 4. Let n(o) = o**3 + 4*o**2 - 1. Suppose -g - 16 = 3*g. Let a be n(g). Put a, i, -3 in descending order. i, a, -3 Let x(y) = -y**2 + 4*y + 7. Let f be x(5). Let m = 181 - 184. Sort f, m, -2 in ascending order. m, -2, f Suppose 2*g + a = -5, a = 4*a + 9. Sort -0.3, 0, g. g, -0.3, 0 Let v = -12 + 7. Sort 2, v, 0. v, 0, 2 Let h = -7 + 12. Suppose -3 = -v - 6. Let c be 4/14*v/(-6). Sort 0, h, c in decreasing order. h, c, 0 Let g = -7.3 - -2.3. Sort 5, g, -1 in ascending order. g, -1, 5 Let j = 8.09 - -0.51. Let g = -9 + j. Put g, 0, 0.5 in increasing order. g, 0, 0.5 Suppose 0 = p - 3*p, -t + 2*p + 5 = 0. Put -5, -19, 4, t in increasing order. -19, -5, 4, t Suppose -3*q - 47 = -146. Let w = -65/2 + q. Sort 5, w, 4 in decreasing order. 5, 4, w Let b = -4/3 + 5/6. Sort 4, -4, b. -4, b, 4 Suppose 3*z = z + 12. Let h(w) = 5 + 1 + 2 - w. Let u be h(z). Sort u, 4, -4 in ascending order. -4, u, 4 Let s = -61 - -85/2. Let w = s + 19. Sort -1/3, w, 1/5 in decreasing order. w, 1/5, -1/3 Let d = -0.24 + -0.06. Let t = -0.7 + 0.8. Let b = t + d. Sort b, 4, 3/2. b, 3/2, 4 Let p = 2 + -7. Let c = -7 - -4. Put p, 2, c in decreasing order. 2, c, p Suppose 10*g - 5*g + 25 = 0. Sort 4, -7, g in increasing order. -7, g, 4 Let j be 2/10 - (-48)/10. Let w = 3 - j. Put w, -5, 5 in decreasing order. 5, w, -5 Let k = -1.3 + -1.7. Put k, 4, 5 in ascending order. k, 4, 5 Suppose 2 = -s + 4. Suppose -o + 4 = 0, 22 = 2*d + o + 2*o. Put d, -3, s in decreasing order. d, s, -3 Let d = 0.05 - -0.05. Let v = 6.6 + -11.3. Let m = v - -0.7. Sort 0, m, d. m, 0, d Let b be -1 - -3 - (-3 - 50). Suppose -2*y = -d + 25, 0 = d + d - 5*y - b. Let s be 12/15*d/42. Sort 0, s, -3. -3, 0, s Let s = 0.31 + -0.28. Put 0.2, -4, -0.4, s in ascending order. -4, -0.4, s, 0.2 Suppose -4*p = -0*p - 20. Put -0.5, 1, p, 3 in decreasing order. p, 3, 1, -0.5 Let g(k) be the second derivative of -k**5/20 + k**4/12 - 5*k**2/2 + 4*k. Let w be g(0). Sort w, -3, 2 in increasing order. w, -3, 2 Let b = -12 + 17. Let l = b - 5.02. Let h = l - -5.02. Sort 1, 0.3, h in increasing order. 0.3, 1, h Let w be (-4)/(-2 + -2) + (0 - -2). Put 5, 0, w in increasing order. 0, w, 5 Let g be (-2)/(-7) + 272/28. Let w(f) = -f**3 + 11*f**2 - 10*f - 2. Let x be w(10). Put g, x, 1 in decreasing order. g, 1, x Let w be 3/5 + (-44)/(-10). Suppose w*x + 3 = 28. Put x, -5, -1 in ascending order. -5, -1, x Suppose -5*i - 5*h + 16 = -79, -2*i = -5*h - 59. Suppose -5*g + 23 = 4*j, -2*j = -3*j + 2*g + i. Let y be (-2)/13 - j/(-78). Sort y, 4, 1 in ascending order. y, 1, 4 Suppose 0 = w - 0*c - 4*c + 16, -5*w - 38 = c. Suppose 0 = -3*z - 3*n + 3 + 3, 4*z = -2*n + 12. Let y = w + z. Sort -2, y, 0. y, -2, 0 Let i = 7 + -8. Let l be 1/(-10)*(5 - i). Sort 2, -0.2, l. l, -0.2, 2 Suppose -20*q + 19*q + 5 = 0. Sort -22, q, -4 in decreasing order. q, -4, -22 Let d = -5 - -3. Let i = 2 + d. Sort 4, -4, i in descending order. 4, i, -4 Let k = 0.007 - 1.007. Put -2/13, k, -2 in decreasing order. -2/13, k, -2 Let x(h) = -2*h - 2. Let o be x(1). Put -2, o, -0.3 in decreasing order. -0.3, -2, o Let t = 6/2617 - -204096/13085. Suppose 4*p - 52 = -3*o, 0 = p + 2*o - 5*o - 28. Let r = t - p. Put r, -3, -2 in decreasing order. r, -2, -3 Let a = 22 - 21. Suppose 0 = -4*d + n + 20, 4*d + n = 6 + 6. Sort 3, d, a in ascending order. a, 3, d Let g = -4 - -3.6. Let i = 4 - 3. Put 3/4, i, g in descending order. i, 3/4, g Let k be -8*(-4)/240 + 32/(-15). Put 2, k, 4, 1 in decreasing order. 4, 2, 1, k Let h = -3.3 + 1.3. Sort h, -4/3, 5. h, -4/3, 5 Suppose -11*m = -9*m + 8. Let p be -7 - (-1 + 3 + m). Sort p, 0, 5 in decreasing order. 5, 0, p Let w(v) = -v**2 + 6*v - 9. Let s be w(4). Let a = -2 + 7. Sort s, a, -5 in descending order. a, s, -5 Suppose 5*y = -3 - 2. Let d(c) = 5*c**2 - 1. Let s be d(y). Put 1/4, s, 2/7 in descending order. s, 2/7, 1/4 Let v(o) = -4*o - 1. Let g be v(1). Sort -1, g, 1 in decreasing order. 1, -1, g Let l(z) = -z**3 + 6*z**2 + 9*z + 3. Let h be l(7). Suppose -2*m + 5*u = -m + h, -u = 2*m + 1. Sort 1, -1, m in increasing order. m, -1, 1 Let m be ((-5)/(-3))/((-5)/(-30)). Suppose 53 = -z - 33. Let q be z/18 - m/45. Sort 3, 0, q in descending order. 3, 0, q Suppose 56 = 3*s - 130. Let x be s/20 - (0 - -3). Sort x, 2, -0.1. -0.1, x, 2 Suppose -7*k + 11*k = 20. Put 1, k, 4 in increasing order. 1, 4, k Suppose 3*b = 10 - 1. Sort b, -5, 2. -5, 2, b Let m(p) be the second derivative of -p**5/20 - 5*p**4/12 + 5*p**3/6 - 7*p**2/2 + p. Let n be m(-6). Put n, 2, -2 in decreasing order. 2, n, -2 Let t be 2/(-6) + 14/6. Let y be 2 + (-2 - 4/(-4)). Sort 0, t, y in descending order. t, y, 0 Let n = 6 - 6.1. Let y = n - 5.9. Let a = -3 - y. Put -0.5, 0.5, a in descending order. a, 0.5, -0.5 Let n(k) = -k**2 + 3*k. Let o be n(2). Suppose 0 = -o*w - 4*c - 2, -3
{ "pile_set_name": "DM Mathematics" }
40. Let n = 0.54908 - v. Round n to 4 dps. -0.0009 Let l = -3636 - -3635.9999984613. What is l rounded to seven dps? -0.0000015 Let v = -0.0354 - -0.0194. Let q = v - 14.464. What is q rounded to the nearest integer? -14 Suppose 5*w + 14 + 26 = 0. Let u be (w - -9)*(1 - 0)*0. Suppose 2*k + 8 + 4 = u. Round k to the nearest 10. -10 Let s = -6.6 - -32.6. Let b = s - 61. Let j = b + 35.052. What is j rounded to two dps? 0.05 Suppose 0 = 20*u + 2*u + 1224314828. Let g = u + 31150674. Round g to the nearest one million. -25000000 Let d = 7409 + -7407.4228. What is d rounded to 1 dp? 1.6 Let h = 32.335 + 42.385. What is h rounded to the nearest 10? 70 Let y = -40143438.263613 + 40143481. Let p = y + -42.712. Let f = p - 0.024. Round f to 5 decimal places. 0.00039 Let s be (-8)/(-6)*(-1)/(2/(-6)). Let p = 196246 - 30245. Suppose 4*a = -3*i - a + 124505, s*i - p = -a. Round i to the nearest ten thousand. 40000 Let c = 523.2 + -741.9. Let g = c - -28.7. Let s = -189.99999873 - g. Round s to six dps. 0.000001 Let n(b) = 41*b**3 + 24*b**2 + 3*b + 38. Let s be n(13). Let x = s + -246010. What is x rounded to the nearest 10000? -150000 Let b = -11.408 + 9410.408. Let k = 9342.51 - b. Round k to the nearest ten. -60 Let t be 1357508/60 - 2/15 - -4. Let i = t - 322629. Round i to the nearest ten thousand. -300000 Let k(i) = -389298*i**3 - i**2 + 26*i + 48. Let d be k(-4). Round d to the nearest 1000000. 25000000 Let s(x) = -52826*x**3 - 84*x**2 + x + 27. Let n be s(7). Round n to the nearest 100000. -18100000 Let x = 139 + -135. Let o be 25368/96 + (-1)/x. Suppose 3*n = 3*g - 774, 2*n + g = n - o. Round n to the nearest 10. -260 Let s = -4900.4 - -3072.3. Let g = s + 1929. Round g to the nearest 10. 100 Let p(x) = -41*x**2 + 16*x - 6. Let m(f) = -39*f**2 + 17*f - 7. Let g(o) = -4*m(o) + 3*p(o). Let q be g(4). Round q to the nearest 10. 460 Let x = -357.3 + 430.3. Let c = 12483554 - 12483626.999348. Let w = c + x. Round w to four dps. 0.0007 Let q = 0.12792 + -0.1253255. What is q rounded to five decimal places? 0.00259 Let i = -663 + 665.1228. Let j = i + -2.11. Round j to 3 decimal places. 0.013 Let r = 2283.1 + -2282.96131. Round r to two dps. 0.14 Let c(b) be the second derivative of -19*b**5/4 - 4*b**4/3 - b**3/2 - 5*b**2 - 34*b - 1. Let r be c(5). What is r rounded to the nearest 1000? -12000 Let n = 4.53 - 4.028. Let f = n - 0.50259. What is f rounded to 3 decimal places? -0.001 Let s(p) be the second derivative of -11*p**3/3 - 41*p**2/2 + 4*p - 13. Let h be s(-5). What is h rounded to the nearest ten? 70 Let s = 0.01965 + -616.31965. Let v = -590 - s. Let p = 38.6 - v. Round p to the nearest integer. 12 Let v = -17.4470733 + 75.4471148. Let l = -58 + v. Round l to six decimal places. 0.000042 Suppose 46873600 = 139*f - 139*f - 128*f. What is f rounded to the nearest one thousand? -366000 Let r(k) be the first derivative of k**2 + 10*k - 1. Let j be r(-2). Let c(h) = -18329*h - 26. Let p be c(j). Round p to the nearest ten thousand. -110000 Let x = -4657.066 + 4655. Round x to 2 decimal places. -2.07 Let t be ((-150)/7)/(258/(-2778832)). What is t rounded to the nearest 100000? 200000 Let s = -2419.89 + 2419.8779633. What is s rounded to three decimal places? -0.012 Let u(z) = -62*z**3 + 56*z - 4. Let h be u(-19). Suppose 0 = -5*p + 18*p + h. Round p to the nearest 1000. -33000 Suppose 2*h - 1425424 = -4*z - 347460, 0 = 2*z - 12. Round h to the nearest 100000. 500000 Let x = 51225 + -101825. What is x rounded to the nearest 10000? -50000 Let n = 5.974929249 + -5.9749. What is n rounded to six decimal places? 0.000029 Let b = -0.0241052 - -39.0263152. Let i = b - 39. What is i rounded to 3 decimal places? 0.002 Let a = 168.07393741 - 0.07535741. Let v = -26 + -142. Let r = a + v. Round r to 4 dps. -0.0014 Let q = 1288 - 775. Let m = q - 513.0373. Round m to 2 decimal places. -0.04 Let y = 260.82418 - -6.14462. Let o = y - 267. Round o to two decimal places. -0.03 Let m(c) = -2695556*c**2 + 348*c + 1048. Let a be m(-3). Round a to the nearest 1000000. -24000000 Suppose 27*z = 35*z - 2003999976. Suppose -5 = 5*x, -z = -8*t + 3*t - 3*x. What is t rounded to the nearest one million? 50000000 Suppose -330441 = -h - 2*q - 49347, 5*h + 4*q = 1405458. What is h rounded to the nearest 1000? 281000 Let r = 78.386 - 58.39. Let x = 12 - 32. Let g = x + r. Round g to 3 dps. -0.004 Let q = -9 - -18.3. Let u = -49061104.3000199 + 49061095. Let a = u + q. Round a to 6 dps. -0.00002 Let r = -0.01262 - -0.0120564. Round r to four dps. -0.0006 Let l = 301533158 - 301827499.527. Let y = l + 293026. Let b = y + 1315. Round b to 1 decimal place. -0.5 Let n = 1.372004 - 1.3516. Round n to 4 decimal places. 0.0204 Let x = -8341 - -7949.4. What is x rounded to the nearest 10? -390 Suppose 5*i + 1722592 = -4*y, -31*y + 28*y - 1378074 = 4*i. What is i rounded to the nearest 10000? -340000 Let o be 1414 - (-4 + 4 + -8)/2. Suppose -v - 3*b + o - 7491 = 0, 5*b + 30355 = -5*v. Round v to the nearest one thousand. -6000 Suppose 3*q - 36 = -4*r, 10 = 2*q + 2. Suppose -23794 = -r*x + 5942. Suppose 8604 = 4*p - x. Round p to the nearest one hundred. 3400 Suppose -319*f = -315*f - 20. Suppose -2*k - 3*n + 110000 = 0, f*k + 5*n = 3*n + 275000. What is k rounded to the nearest ten thousand? 60000 Let d = -48.4017 + -0.0023. Let f = d + 8.338. Let u = f - -40. Round u to 2 dps. -0.07 Let g = -0.01887 - -0.016. Let n = g - 519.59713. Round n to the nearest ten. -520 Let m = 226.75567811 + -226.84828. Let u = -0.09265 - m. What is u rounded to six decimal places? -0.000048 Let p = -30 - 3. Let o be (p/(-22))/(1/6). Suppose 12*j - o*j = -1950. What is j rounded to the nearest one hundred? -700 Let z = -626.5000319 - -626.5. What is z rounded to 4 decimal places? 0 Let k = -240.9695 - 0.0305. Let v = -241.166 - k. What is v rounded to 2 dps? -0.17 Let c = 0.273 + -33.273. Let q = c - -32.424. Round q to 2 dps. -0.58 Let t = -0.08402 - 2092.01598. Round t to the nearest ten. -2090 Let m be (1376/256 - 6/16) + 83675. Round m to the nearest 1000. 84000 Let w = -3486.0009871 - -3486. What is w rounded to 4 decimal places? -0.001 Let o = 55788694 - 55788694.164000099. Let s = 0.164 + o. What is s rounded to 7 decimal places? -0.0000001 Let k = 1291.625 + -1667.6966. Let d = k + 376. Let o = d - -0.042. Round o to 3 dps. -0.03 Let c = 89244 - 113803.5. Round c to the nearest 100. -24600 Let f = -12630.3 + 24546. Let i = f + -11784.569. Let o = i + -131. Round o to 2 dps. 0.13 Let c = -136599 + 136599.0000055207. What is c rounded to 7 dps? 0.0000055 Let g = -5.125 - -5.124986457. What is g rounded to 7 decimal places? -0.0000135 Let b = 4280 - 4429.02. What is b rounded to 0 decimal places? -149 Let y be 2/((-74)/36 + 2). Let u = y + 48. Let j be (u + -352)/((-2)/4). Round j to the nearest 100. 700 Let p = 360.291 + -360. Let t = -0.03745629 + 0.32845512. Let h = p - t. What is h rounded to seven dps? 0.0000012 Let j = -2060.06378 - -2060.3. What is j rounded to one dp? 0.2 Suppose 0 = -7*f + 3699247 + 7178753. Suppose 43*g - f = 29*g. Round g to the nearest one hundred thousand. 100000 Let v = -421.754 - -421. Let n = 0.74682 + v. What is n rounded to three decimal places? -0.007 Let r be -73 + 73 - -163*37. Round r to the nearest 100. 6000 Let m = -220.468 - -4.508. Round m to the nearest ten. -220 Let m = -15 + -28. Let p = 41 - m. Let a be (50000/(-3))/((-2)/p). Round a to the nearest one hundred thousand. 700000 Let a be 3469210248/31 + (2 - 3)/1 - 7. What is a rounded to the nearest 1000000? 112000000 Let y = 270.3572 - -0.3428. What is y rounded to the nearest one hundred? 300 Let v = 179.632 - 102.471. Round v to 1 dp. 77.2 Let f = -0.4339 - 22.1561. Let w = 0.91 - f. Round w to the nearest 10. 20 Suppose 5*q = 26*q - 84. Suppose 0 = 2*w - 3*y + 29997, -q*w + 6*y - 60003 = 9*y. Round w to the nearest 10000. -20000 Let y = 170 - 161. Let z be (2565/y + 7)*2000. What is z rounded to the nearest one hundred thousand? 600000 Let r = -990 + 990.0007755. Round r to four dps. 0.0008 Let s = -10725 + 10721.55. Round s to 1 decimal place. -3.5 Let k = 5605.01 - -78.29. Round k to the nearest ten. 5680 Let c = 4 + -1. Let h be (-6)/(-27) - (-2652420)/27. Suppose -c*y = -h + 17238. Round y to the ne
{ "pile_set_name": "DM Mathematics" }
- 8 + 2. Suppose w - 53 = 2*y, -56 = -w + 3*y + z. Is w a prime number? True Suppose -5*u = z - 1361, z - 5444 = -3*z - 4*u. Is z prime? True Suppose -84 = -5*b + 26. Suppose 2*c = -4*n + 12, 2*c - c - 5*n + b = 0. Is ((-3586)/(-55))/(c/(-5)) a composite number? False Is 4/14 - 2026/(-14) a composite number? True Let z(k) be the third derivative of 3*k**4/8 - k**3 + k**2. Is z(5) prime? False Let o(a) = 2*a + 4. Let w be o(-6). Is (-379)/(-3) + w/(-12) composite? False Suppose 2*k - 3*x + 300 - 1602 = 0, -4*k + 2596 = -4*x. Let z = -314 + k. Is z prime? True Let m = -2794 - -4847. Is m prime? True Is 47*10 - (5 + (-36)/6) composite? True Let n(y) = 4*y**2 - 1 + y**3 - 2 + 5. Let x be (-6)/4*56/21. Is n(x) composite? False Suppose -3*t + t = 12. Let r(m) = m. Let g(b) = 2*b**2 + 4*b + 7. Let y(l) = g(l) + 6*r(l). Is y(t) prime? True Let t(n) = -37*n**3 + n**2 + 2*n + 1. Is t(-1) prime? True Let l = -9 + 1. Let x(w) = 3*w**2 + 9*w + 9. Let m be x(l). Suppose -3*i - 3*q + m = 0, -2*i - q = 3*q - 86. Is i composite? False Let f be 50/(-8) - (-3)/12. Let h be 1298/9 - f/(-27). Is h + 2*2/4 prime? False Suppose 6*k - 4*i - 3555 = k, -3*i - 2843 = -4*k. Is k prime? False Let o(m) = 24*m + 11. Let z be o(8). Suppose 6*c - 3*c + 205 = l, -4*c - z = -l. Is l prime? True Let s = -10 - -15. Is 157/s - (-14)/(-35) composite? False Let f be (-788)/16*1*-4. Let g = -78 + f. Is g a composite number? True Let l(q) = -q**2 - 8*q - 1. Let s be l(-7). Suppose 2*k - 2 = 2*p, 0 = 5*p + 3*k - 5 - s. Is (-37)/p*2/(-2) a composite number? False Suppose 5*t = 10, -5*t - 6 = 3*x - 22. Suppose 21 = m + x. Is m prime? True Suppose -5*i = -a - 5673, 4*i + 3*a - 4546 = -0*i. Is i a prime number? False Is 8/(-28) - 214/(-14) a composite number? True Suppose -15*q = -10*q - 28315. Is q composite? True Let x = -2 - -1. Let j be 0*x/2*1. Suppose -4*o = -o - h - 289, -5*h - 20 = j. Is o composite? True Let x(i) be the first derivative of -i**7/420 + i**6/180 + i**5/30 + i**4/8 + i**3 + 1. Let s(h) be the third derivative of x(h). Is s(-2) prime? True Let a(u) = 4*u**3 - 12*u**2 - 12*u - 13. Let g(q) = 11*q**3 - 37*q**2 - 36*q - 39. Let i(c) = 8*a(c) - 3*g(c). Is i(14) prime? False Let r(i) be the third derivative of 19*i**5/60 - i**2. Is r(1) a composite number? False Let a be (-68)/4 - (-2)/1. Let i = a - -62. Is i a composite number? False Suppose 0 = -5*f + 2*b + 3069 + 96, 5*b = 2*f - 1287. Is f a composite number? False Let r be -6*13 + 3 + -2. Let n = -19 - r. Is n a composite number? True Suppose -j = -2*o + 204 + 629, -o + 4*j = -427. Is o prime? False Is (-1 + 2)*-17*-79 a prime number? False Suppose 12*p = 5*p + 5019. Is p a prime number? False Let f = 18 - 11. Is (-10)/35 + 583/f prime? True Let k = -217 + 398. Suppose -3*h + 5*w = -6*h + k, 0 = h - w - 55. Is h a composite number? True Let a be 894/2 - (-2)/(-1). Let g = 752 - a. Is g a composite number? False Let j(n) = -11*n**3 - 4*n**2 - 11*n + 5. Is j(-7) a prime number? True Is (-8)/28 + (-15390)/(-14) composite? True Let x(n) = -119*n - 2. Let o be x(-2). Let g = 3 - -106. Let y = o - g. Is y composite? False Let h = 2 - -2. Suppose -25 = -5*l + b + h*b, 0 = -3*l - 3*b - 3. Suppose 2*f + l*w - 290 = 0, w = -5*f - w + 725. Is f prime? False Let n = 0 - -3. Suppose 0 = n*f - f + 10. Is (-112)/f - (-3)/5 a composite number? False Let w(b) = -b**3 + b**2 - 4*b + 3. Let f be w(2). Let k = f + 8. Is (413/(-21))/(k/3) a composite number? False Let m be 2/2*(-3 + 6). Let s be m/(-4) - 447/(-4). Suppose -36 = 3*o - s. Is o prime? False Let m = -248 - -507. Is m a prime number? False Suppose -m - 5494 = -2*g - 2*m, 8259 = 3*g - 3*m. Is g a prime number? True Let u = -97 + 151. Suppose 2*s = 2*p - 88, -p - s = 3*s - u. Is p a composite number? True Suppose 0*n = 4*z + 4*n - 1272, 0 = -n - 5. Is z a prime number? False Let s be 1*50*1 - -1. Let m = 182 - s. Is m prime? True Suppose -2*k + 3*a = 5*a - 124, k + 5*a = 74. Is k prime? True Let g(p) = p**3 + 4*p**2 + 4*p + 3. Let q be g(-3). Let b = -4 + 6. Suppose q = b*j - 0*j - 134. Is j composite? False Let v(y) = 86*y**2 - 1. Let h be v(-1). Let s = h - 32. Is s prime? True Suppose r - 6*r + 7495 = 0. Is r composite? False Let j(y) = 2*y**2 + 5*y - 9. Let f(m) = m**3 - 3*m**2 + 2*m - 1. Let c be f(2). Let t(n) = n**2. Let q(u) = c*j(u) + 3*t(u). Is q(6) a prime number? False Let z(r) = 11*r**2 - 13*r + 1231. Let g(f) = -5*f**2 + 6*f - 615. Let u(k) = -13*g(k) - 6*z(k). Let m be u(0). Suppose -y + m = 2*y. Is y a prime number? False Let k be -9 + (2 - (-2 + 1)). Let l be -6*k/(-9)*-59. Suppose y + 380 = 5*q, -3*q + 2*y - 3*y + l = 0. Is q prime? False Let q be (-1 + 9/2)*46. Let a = q + -28. Let o = a - 80. Is o composite? False Let t = 3701 + -1548. Is t a composite number? False Suppose -2*q - 114 = -q + 5*l, -2*l + 651 = -5*q. Let o = q + 85. Is (o/(-10))/(1/5) a prime number? False Let w = -537 + 1071. Suppose -5*q = -3*f + 341 + 1280, -4*f = -2*q - 654. Let h = q + w. Is h a prime number? True Suppose 267 = 3*n + 4*z, z + 2*z = -5*n + 456. Let d = -44 + n. Is d a composite number? True Let v(y) = 2*y - 2. Let k be v(3). Suppose 3 = -5*w - 2, 4*w - 52 = -k*z. Is z a composite number? True Is (-27056)/(-48) + 4/(-6) prime? True Let i(m) = m**3 - 7*m**2 - m + 6. Let j be i(7). Let a = j + 14. Is 1/(a/(-7) - -2) prime? True Let k = -9 - -24. Suppose -19 = 3*s + 41. Let i = k - s. Is i composite? True Let a = 441 + -240. Is a prime? False Let h = 1 + 9. Suppose 0 = 2*o + 3*o + h. Let f = 87 - o. Is f composite? False Suppose 0*k - 40 = -5*k. Let o be 7/28 - (-14)/k. Is (-2)/1*(-15)/o a prime number? False Suppose 0 = -h - 4 + 5. Is h/2*(643 + -1) a prime number? False Suppose 2*q - q + 154 = 5*y, -89 = -3*y + 4*q. Is y composite? False Suppose 444 = c + 2*k, -369 = -2*c - 3*k + 523. Suppose 3*u - 5*f - 5 = 0, 2*f - 2 - 2 = 0. Suppose -u*m = -c - 363. Is m composite? False Let t = 0 - 2. Let y(f) be the third derivative of -f**4/6 + f**3/6 + 3*f**2. Is y(t) a composite number? True Let k be ((-5)/(-10))/((-2)/28). Let h(b) = b**2 + 6. Is h(k) a composite number? True Let k(i) = -434*i - 27. Is k(-4) prime? True Let z(l) = 153*l - 7. Let o(s) = -230*s + 11. Let k(d) = -5*o(d) - 8*z(d). Is k(-2) a composite number? False Suppose s + 2*q = -2*s + 4445, -5*q = 5*s - 7410. Is s a prime number? True Suppose -m + 322 = 4*t - 101, t - 5*m - 111 = 0. Is t composite? True Is -14 + 1334 - (2 - 1)*1 prime? True Let y = 22 + -13. Let w = 7 + -3. Suppose -w*q - 170 = -y*q. Is q prime? False Is (-2 + (-3 - -6))*38 a prime number? False Let j = 18 + -18. Is (1 - -37) + -1 + j a prime number? True Suppose -4*i + 2*t = -16, 2*i + 4*t + 4 + 8 = 0. Suppose 0 = 3*m - 0*l - i*l - 397, l = -2. Is m a prime number? True Suppose -115 = -2*b - 3*b. Suppose i - 106 + b = 0. Is i a composite number? False Let j(d) = -84*d - 20. Let o be j(-3). Let z = -530 + 365. Let f = o + z. Is f composite? False Let l(r) = 21 - 2*r - 44 + 22. Let m = -7 - -5. Is l(m) a prime number? True Is (155/(-15))/((-1)/3) a composite number? False Let a(i) = i - 2. Let u be a(3). Let m be -5 + 6 - (u + -2). Suppose 3*q - 22 = -0*r + m*r, q + 2*r = 2. Is q a prime number? False Let n = 34 + 31. Is n a prime number? False Is -477*5/45*-3 a composite number? True Suppose u + 4*y = 22, 2*y - 2 = -3*u + 14. Let g(a) = -4*a**2 + 0*a**2 - 1 - a - 20*a**3 + 3*a**u. Is g(-1) a composite number? False Suppose -3*v + 4*y - 15 = 0, 2*v - y + 5*y = 10. Is (267/(-9))/(v/3) composite? False Let r(u) be the second derivative of u**3/6 + u**2/2 - u. Let x be r(-5). Is ((-84)/(-16))/((-1)/x) composite? True Let t(j) = 17*j**2 - j. Let u be t(-1). Let l = -19 + 12. Let n = u + l. Is n a composite number? False Suppose 3*n + 123 = 2*d, d + 2*n = -3*n + 68. Is 4/(-18) - (-2345)/d a prime number? True Suppose 0 = -3*v + v - 3*g + 1, -2*v + 7 = -3*g. Suppose -v*p - 3*p = -j + 67, -2*j = 2*p - 110. Is j a prime number? False Is (1268/6)/((-4)/(-6)) composite? False Suppose u + 4*p = 207, -612 + 209 = -2*u + 3*p. Is u a prime number? False Suppose 4*b - 1708 - 10 = 3*p, -3*p + 6 = 0. Is b a composite number? False Let j(d) = -13*d**3 + 4*d**2 - 12*d - 8. Is j(-5) prime? True Let g = 54 - 28. Let t = 11 + -18. Let d = g + t. Is d a prime number?
{ "pile_set_name": "DM Mathematics" }
-q*s - 9 = -10*s. What are the prime factors of s? 3 Let d(b) = -b**3 - 7*b**2 + 7*b - 23. Let x be d(-13). Suppose -x = -7*k - 95. What are the prime factors of k/2*2/5? 23 Suppose -207*j + 4437563 = -1011091. What are the prime factors of j? 2, 3, 41, 107 Let b = 1571 - -1871. Suppose 2*n - 1377 = j, 11*n - 16*n + 2*j = -b. List the prime factors of n. 2, 43 Let a(u) = 2*u - 23. Let p be a(13). List the prime factors of (p + (-42)/12)/((-1)/730). 5, 73 List the prime factors of (-32258)/(-28) + ((-2704)/224 - -12). 2, 3 Suppose 0*h = 122*h - 7942932. List the prime factors of h. 2, 3, 3617 Let z(n) = n**3 + 6*n**2 - 16. Let x be z(-4). Suppose 14*d + 2512 = x*d. List the prime factors of d. 2, 157 Suppose -3*g + 14 + 40 = 0. Let q(n) = -32*n**2 - n**3 + 0 - 3*n - 12 + 51*n**2 - 8*n. What are the prime factors of q(g)? 2, 3, 19 Let s(l) = -3. Let v(z) = -100*z + 230. Let m(a) = -8*s(a) + v(a). List the prime factors of m(-7). 2, 3, 53 Let y = 37348 + -20235. What are the prime factors of y? 109, 157 Let n(l) = -l**3 + 23*l**2 - 21*l - 18. Let d be n(22). Let t = 136 + d. Suppose -3*s + 222 = p, 13 + t = 2*s - p. What are the prime factors of s? 3, 5 Suppose 0*l = 4*l - 3*l. Suppose 0 = -l*g - g. Suppose -9*b + 360 + 333 = g. What are the prime factors of b? 7, 11 Let p(g) = 6721*g - 3832. What are the prime factors of p(7)? 3, 5, 43, 67 Let n(p) = 21876*p - 1591. List the prime factors of n(4). 53, 1621 Let q(x) = -108*x**3 - x**2 - 7. Let y be q(-2). Let k = y - 476. List the prime factors of k. 13, 29 Let p(r) = 4*r - 24. Let g be p(6). Suppose -3*m = -87 - g. Suppose -5*d + 4*w + 392 = 0, -d + m = -4*w - 43. What are the prime factors of d? 2, 5 Let c(z) = -28*z + 14. Let v be c(-7). Suppose 10*p - v = 5*p. List the prime factors of 6/(-9)*-2*p. 2, 7 Let t = -418 - -242. Let z = -140 - t. What are the prime factors of z? 2, 3 Let x(g) = 164 + 33*g + 26*g + 37 - 15*g - 6*g. What are the prime factors of x(36)? 3, 523 Suppose -680 = -36*k + 34*k. Suppose 114*f - 119*f = -k. List the prime factors of f. 2, 17 Suppose 5*z + 161 = 4*p, 59 = p + 3*z - 8*z. Suppose 0*h - 3*h + 2*g + 157 = 0, -3*g = h - 56. Let l = h + p. List the prime factors of l. 3, 29 Suppose -56*u - 220170 = -86*u. List the prime factors of u. 41, 179 Let l(z) = -z**3 + 5*z**2 + 3*z + 3. Let f be l(4). Suppose -36*u = -f*u. Suppose 4*o - x - 79 = 81, -2*o + x + 80 = u. List the prime factors of o. 2, 5 Suppose 4385110 = 96*p + 53*p - 3*p. What are the prime factors of p? 5, 6007 Suppose -124 = o - 127. Suppose -3*i + 2177 = 4*r - 528, o*r + 2691 = 3*i. What are the prime factors of i? 29, 31 Let s = 34 + 94. Let d = s + 38. What are the prime factors of d? 2, 83 Suppose 1584681 - 425985 = 88*m. List the prime factors of m. 3, 7, 11, 19 Let d(n) = 7*n**2 + 106*n - 2350. What are the prime factors of d(-71)? 25411 Let a = 11 + -8. Let v(x) = x + 12. Let q be v(-9). Suppose 0 = -5*b + a*n + 1156, -q*b - 2*n = -6*b + 693. List the prime factors of b. 233 Let x(c) = -1. Let n(d) = 42*d + 40. Let o(i) = -n(i) - 12*x(i). Let u be o(-10). Suppose -5*q + u = -3*q. List the prime factors of q. 2, 7 Let x = 210 - 126. Let v = x - 33. What are the prime factors of v? 3, 17 Let x = 45 + -30. Let n = -6 + x. Suppose n*z + 16 = 223. What are the prime factors of z? 23 Let w(t) = -32*t + 5. Let v be w(0). Let r(j) be the first derivative of 5*j**3/3 + 6*j - 6. List the prime factors of r(v). 131 Let y(w) = 4*w**2 - 1 + 5*w**2 - 7 + w**3. Let s be (77/33)/(4/(-12)). List the prime factors of y(s). 2, 3, 5 Let i(d) = -2764532 + 19*d + 2764526 - 4*d. Suppose -2*l = -5*l + 42. What are the prime factors of i(l)? 2, 3, 17 Suppose -3*y = -z + 5769, 0 = -6*z + 3*y - 1117 + 35776. Suppose 35*o - 19947 - z = 0. List the prime factors of o. 3, 5, 7 Suppose 0 = -507*h + 439*h + 674424. What are the prime factors of h? 2, 3, 19, 29 Let m(c) = c**2 - 14*c - 87. Let p be m(-11). Suppose 0 = -y + 487 + p. What are the prime factors of y? 3, 5 Let c(t) = -t**3 + t**2 + t - 1. Let m(r) = 12*r**2 + 5*r - 10. Let o(j) = -4*c(j) - m(j). List the prime factors of o(6). 2, 31 Let t = 1 + -3. Let k = 258 - 258. List the prime factors of 2 + (t - k) + 92/1. 2, 23 Suppose 38 = 36*u - 5*u - 86. Let r(k) = 12 + 6*k + 16*k - k. List the prime factors of r(u). 2, 3 Let g(h) = h + 5. Let s = 12 - 1. Let u be g(s). Suppose -q - u = -56. What are the prime factors of q? 2, 5 Let g = 5 - 5. List the prime factors of 783 - (g - (-12)/2). 3, 7, 37 Let p(n) = -5*n - 27. Suppose 5*g = -2*b + 5, 5*b + 0*b = 25. Let v(k) = k + 1. Let c(o) = g*p(o) - v(o). What are the prime factors of c(13)? 2, 3, 13 Let o = 69 + -67. Suppose o*w - 195 - 285 = 0. Suppose 0 = -4*l - 48 + w. List the prime factors of l. 2, 3 Let k(z) = z**2 + z - 2. Let v be k(2). Let h(u) = u**3 - u**2 - 7*u + 12. Let f be h(2). List the prime factors of (-2 + (-443)/f)*v/(-6). 149 Let y be (1 - (-17)/(-5))/(44/57750). Let l = -2115 - y. What are the prime factors of l? 3, 5, 23 List the prime factors of ((-306)/(-24))/(27/25092). 17, 41 Suppose 2*y = -5*m + 8316, -500 = -m + 2*y + 1156. Suppose -j + m + 1868 = 5*v, 3*j + 3530 = 5*v. List the prime factors of v. 2, 353 Let f(c) = -12 + 65*c**2 - 3*c + 0*c + 18 - 7. Let h be f(-2). Suppose -h = -4*d + 3*v, -3*d = d + v - 285. What are the prime factors of d? 2, 5, 7 Suppose -206*j - 18197 = -237*j. What are the prime factors of j? 587 Let f(m) = -82*m - 104. Let t be f(-12). Suppose -3*n - w + 904 = -n, -2*n + 5*w = -t. List the prime factors of n. 2, 3, 5 Let y = 4658 + -2276. Suppose f - 1780 = -3*p, -3*p + y - 592 = -4*f. What are the prime factors of p? 2, 3, 11 Let r = 131 + -126. Suppose -r*z - 84 = -3*c, c - 3*z - 10 - 14 = 0. List the prime factors of c. 3, 11 Let b(q) = q**2 + 2*q - 6. Suppose -o + 13 = 5*w, -4*w = 4*o - 2 - 2. Let z be b(w). List the prime factors of (3 - z)/((-6)/39 + 0). 3, 13 Let f(o) = o**3 - 6*o**2 - 7*o + 20. Let v be f(7). Suppose v*s - 16*s - 696 = 0. List the prime factors of s. 2, 3, 29 Let v = -79417 + 141824. What are the prime factors of v? 17, 3671 Let i = -17 - -23. Let s be -8*((-3)/18 + (-2)/i). Suppose 0 = -2*p - 3*m + 100 + 207, -p + s*m = -137. List the prime factors of p. 149 Let l = -33 + 43. Suppose -l*m + 6*m = -3008. Suppose -6*f + m = 2*f. What are the prime factors of f? 2, 47 Suppose 0 = -4*y - 180 - 72. Let d = -61 - y. What are the prime factors of -5 + 29*(5 + d)? 2, 3, 11 Suppose 13*j - 5037 - 4947 = 0. What are the prime factors of j? 2, 3 Let z(u) = 8*u - 15. Let q(j) = -2*j + 5. Let o be q(3). Let w(c) = -c. Let t(i) = o*z(i) - 6*w(i). List the prime factors of t(5). 5 Let j(k) = 4*k**2 - 3*k. Let f be j(2). Suppose g = f*g - 1602. Suppose a + 3*i - g = i, -356 = -2*a - 3*i. List the prime factors of a. 2, 89 Let o(r) = -42*r - 36. Let z(t) = -t**2 + 6*t - 2. Let k be z(6). List the prime factors of o(k). 2, 3 Let j(q) = q**3 + 37*q**2 + 50*q - 3. List the prime factors of j(-25). 6247 Let g(l) = 4*l**3 - 74*l**2 + 26*l - 25. List the prime factors of g(20). 3, 5, 193 Let j be (1/(-3))/((-80)/75 + 1). Suppose 7*l = 8*l - j. Suppose -i = 5*y - 104, -3*y + 2*y - 572 = -l*i. What are the prime factors of i? 2, 3, 19 Suppose -42*l + 38*l - 2*b + 34480 = 0, -3*l = -2*b - 25860. What are the prime factors of l? 2, 5, 431 Suppose -5*q + 30 = 2*m - 3*m, -20 = -4*m. Suppose -10*s + q*s + 612 = 0. What are the prime factors of (2/4)/(3/s*2)? 17 Let f(x) = 135*x**3 - 67*x**2 + 267*x - 7. List the prime factors of f(4). 8629 Let f(n) be the third derivative of 0*n + 83/40*n**6 + 1/60*n**5 + 0 + 18*n**2 - 1/3*n**3 + 1/12*n**4. What are the prime factors of f(1)? 2, 5 Let n(x) = x**3 - 23*x**2 - 52*x + 46. Let r be n(25). Let u(c) = 95*c**2 + 10*c + 5. What are the prime factors of u(r)? 3, 5, 11 Suppose 10*n - 63778 = -13*n + 32408. What are the prime factors of n? 2, 3, 17, 41 Let w be 4 + 3*2*-4. Let g = w - -27. Let t(r) = r**2 - 7. List the prime factors of t(g). 2, 3, 7 Let j(h) be the first derivative of -h**3 + 8*h**2 - h + 14. Let n be j(5). Suppose -n*v = -5*v + 108. List the prime factors of v. 2, 3 Suppose -5*s - 2 = -4*r, 2*s = -5*r - 1 + 20. What are the prime factors of 215 - (s/(-8) + 171/76)? 3, 71 Let p(b) = b**3 + b**2 - b + 1. Let q(o) = 5*o
{ "pile_set_name": "DM Mathematics" }
b of sequence yy? 21/55 What is prob of sequence ta when two letters picked without replacement from {p: 4, t: 9, a: 1}? 9/182 Calculate prob of sequence vffk when four letters picked without replacement from tovqofvkkffkffvvfo. 1/204 Two letters picked without replacement from ymggggygymgg. Give prob of sequence mm. 1/66 Four letters picked without replacement from ppdmpduupzmu. What is prob of sequence udum? 1/495 Calculate prob of sequence wb when two letters picked without replacement from {b: 3, t: 2, o: 1, w: 3, c: 3, a: 1}. 3/52 Two letters picked without replacement from euefqfee. Give prob of sequence fq. 1/28 What is prob of sequence cbc when three letters picked without replacement from vvvcbvbbbvbbvcvvv? 1/340 Four letters picked without replacement from {w: 7, d: 4}. What is prob of sequence wwdw? 7/66 Calculate prob of sequence pop when three letters picked without replacement from {s: 1, o: 1, p: 2, g: 1}. 1/30 What is prob of sequence xx when two letters picked without replacement from xnxxxxxxn? 7/12 Calculate prob of sequence om when two letters picked without replacement from {m: 1, n: 4, o: 5, z: 5, t: 3}. 5/306 Calculate prob of sequence ff when two letters picked without replacement from {f: 7, u: 6, h: 1, s: 4}. 7/51 Calculate prob of sequence fm when two letters picked without replacement from yyymtxrxttxxxttftyt. 1/342 What is prob of sequence czi when three letters picked without replacement from {a: 1, i: 1, j: 2, c: 1, z: 8, k: 3}? 1/420 Four letters picked without replacement from {g: 5, b: 15}. Give prob of sequence gggb. 5/646 Four letters picked without replacement from uuxuxxxx. What is prob of sequence uxxu? 1/14 Calculate prob of sequence yz when two letters picked without replacement from zyeeezz. 1/14 Four letters picked without replacement from {r: 2, p: 3, h: 2, k: 5, m: 1, o: 7}. Give prob of sequence orhm. 7/29070 Two letters picked without replacement from {n: 4, i: 1, a: 2}. What is prob of sequence aa? 1/21 Two letters picked without replacement from yaniu. Give prob of sequence ny. 1/20 Two letters picked without replacement from {x: 12, z: 3}. What is prob of sequence zz? 1/35 Calculate prob of sequence wo when two letters picked without replacement from kawooozzooz. 1/22 Two letters picked without replacement from {r: 2, f: 2, a: 1, g: 1, x: 1}. What is prob of sequence rr? 1/21 Four letters picked without replacement from qmmmummmmmimmmmmq. Give prob of sequence ummq. 13/2380 Two letters picked without replacement from hwswshhshhsyhsgg. Give prob of sequence wy. 1/120 What is prob of sequence vbvu when four letters picked without replacement from {v: 7, u: 2, n: 1, q: 6, b: 3}? 7/2584 Four letters picked without replacement from ggzzgzgzggggz. Give prob of sequence zgzz. 4/143 Calculate prob of sequence thhx when four letters picked without replacement from {x: 4, h: 10, t: 1, z: 4}. 5/1292 Calculate prob of sequence vtt when three letters picked without replacement from {t: 11, v: 1}. 1/12 Calculate prob of sequence lfx when three letters picked without replacement from {c: 5, t: 1, l: 2, x: 4, f: 2}. 2/273 Four letters picked without replacement from kkkukkkkkukuukqkuk. Give prob of sequence quku. 1/306 Three letters picked without replacement from jxxxxxojycxooccycc. Give prob of sequence jco. 5/816 Two letters picked without replacement from rrrrrrrpprprprrrrp. Give prob of sequence rr. 26/51 Four letters picked without replacement from {j: 4, e: 7}. Give prob of sequence jjee. 7/110 Three letters picked without replacement from ctcaaatta. Give prob of sequence ctt. 1/42 Calculate prob of sequence ot when two letters picked without replacement from {t: 3, i: 2, o: 4, b: 3, w: 6}. 2/51 Calculate prob of sequence dgnl when four letters picked without replacement from lnllddgill. 1/504 What is prob of sequence kujq when four letters picked without replacement from jqeewjueeueqk? 1/2145 Two letters picked without replacement from {y: 1, l: 1, q: 2, e: 1, p: 1, k: 2}. Give prob of sequence qq. 1/28 Three letters picked without replacement from jjoofojj. What is prob of sequence foj? 1/28 Calculate prob of sequence sms when three letters picked without replacement from {m: 2, s: 2}. 1/6 Four letters picked without replacement from ekwxewikexek. What is prob of sequence wwke? 1/495 Calculate prob of sequence op when two letters picked without replacement from fpfpooofoe. 4/45 Two letters picked without replacement from xxnjrnxxnxxx. Give prob of sequence rj. 1/132 Three letters picked without replacement from {c: 9}. What is prob of sequence ccc? 1 Two letters picked without replacement from geekkgkgkpu. Give prob of sequence kk. 6/55 What is prob of sequence ery when three letters picked without replacement from ddpyepr? 1/210 Four letters picked without replacement from iiiiii. What is prob of sequence iiii? 1 Three letters picked without replacement from hwwwhwwwwwwhwwhwwwh. Give prob of sequence hhh. 10/969 Four letters picked without replacement from sdyddxydyxdlldybdx. Give prob of sequence sbdy. 7/18360 Four letters picked without replacement from {d: 3, z: 4, j: 7}. Give prob of sequence dddj. 1/572 Four letters picked without replacement from hchyhhhhhhhn. What is prob of sequence nynn? 0 What is prob of sequence ykyy when four letters picked without replacement from gkkyykkyk? 5/504 Four letters picked without replacement from gmqqgkgqmkqkqmmqqqk. What is prob of sequence qkgq? 7/969 What is prob of sequence xz when two letters picked without replacement from nxnjzzjx? 1/14 Two letters picked without replacement from {g: 1, v: 2, u: 1, k: 1, a: 2}. Give prob of sequence vu. 1/21 Calculate prob of sequence ili when three letters picked without replacement from {t: 1, h: 4, i: 4, l: 1, p: 1, c: 1}. 1/110 What is prob of sequence lopp when four letters picked without replacement from {l: 2, p: 4, o: 1, t: 7}? 1/1001 What is prob of sequence czc when three letters picked without replacement from pppppcpppzpppcppp? 1/2040 What is prob of sequence bnqq when four letters picked without replacement from {v: 3, n: 1, k: 1, b: 1, q: 2, j: 4}? 1/5940 Three letters picked without replacement from znzzmzmfunjzj. What is prob of sequence juj? 1/858 Two letters picked without replacement from {j: 3, g: 1, i: 7, n: 1}. What is prob of sequence in? 7/132 What is prob of sequence hby when three letters picked without replacement from {h: 4, o: 1, b: 1, c: 1, y: 4}? 8/495 Calculate prob of sequence ggg when three letters picked without replacement from {g: 5}. 1 Calculate prob of sequence izz when three letters picked without replacement from zlazjfziljffjl. 1/364 What is prob of sequence hhjr when four letters picked without replacement from hrhjhjrhhrjhzh? 9/572 Two letters picked without replacement from rnqqnrqr. What is prob of sequence rn? 3/28 Calculate prob of sequence zz when two letters picked without replacement from {q: 9, z: 9}. 4/17 What is prob of sequence he when two letters picked without replacement from {x: 1, e: 5, t: 8, h: 2}? 1/24 What is prob of sequence bvr when three letters picked without replacement from rvb? 1/6 Four letters picked without replacement from {f: 4, d: 5, j: 6}. Give prob of sequence ffjf. 2/455 Three letters picked without replacement from {q: 1, v: 1, d: 1, b: 1, x: 1}. Give prob of sequence bvx. 1/60 Two letters picked without replacement from zzzzrczvcccczccz. What is prob of sequence cv? 7/240 Calculate prob of sequence fjj when three letters picked without replacement from {f: 1, j: 2, c: 1}. 1/12 Two letters picked without replacement from xbbxbbx. Give prob of sequence bb. 2/7 What is prob of sequence qx when two letters picked without replacement from hhqeeexqqueeeqqxeeqq? 7/190 What is prob of sequence fhhh when four letters picked without replacement from {h: 3, v: 4, a: 5, f: 1, b: 1}? 1/4004 Two letters picked without replacement from {q: 1, i: 3, h: 5, t: 6}. Give prob of sequence ii. 1/35 Two letters picked without replacement from {z: 1, e: 1, h: 1, i: 1, g: 5}. Give prob of sequence ig. 5/72 Two letters picked without replacement from {t: 10, v: 6, a: 4}. Give prob of sequence vt. 3/19 What is prob of sequence tl when two letters picked without
{ "pile_set_name": "DM Mathematics" }
-24. Suppose -4*u + 58 = -o. Suppose -2*h - 3*h + u = -d, 3*h = -2*d + 14. Is d not equal to 3? True Suppose -5*s - 10 = 3*p + 24, 0 = 4*s + 2*p + 28. Is 0 smaller than s? False Suppose 3*f - 2*v = -0 + 11, 2*v = -3*f + 31. Suppose 5 = 4*q - f. Let i be 0 - (-4)/(-30)*q. Is i greater than 0? False Let v = -12 + 18. Are 4 and v equal? False Suppose -5*d = -5*r - 20, -3*d - 8 = d + 4*r. Is 2/73 smaller than d? True Suppose -g + 5 = 2*m + 2*m, -10 = -2*g + 2*m. Which is greater: -5 or g? g Let z = -15.7 - -16. Suppose -t - 3 + 2 = 0. Which is bigger: z or t? z Let i be 1 - (1 + -3)/1. Let v(h) = 11*h**2 - 1. Let b be v(1). Suppose i*n - n + b = 0. Is -4 bigger than n? True Let m(y) = -y**3 - 2*y**2 + 3*y + 3. Let r be m(-4). Which is smaller: 22 or r? 22 Let m = -2/289 - 275/2023. Let p(j) = j**2 + 6*j + 1. Let r be 1/1 + -1 + -6. Let a be p(r). Is a bigger than m? True Let d = 1 + -9. Let p = 9 + d. Which is smaller: p or 2/7? 2/7 Let q = 4 + 1. Suppose 2*o + 1 - q = 0. Is o bigger than -3? True Let p be (-1)/((1 + 0)/1). Let o = -1 - -1.06. Let l = o - -0.94. Is l > p? True Suppose -3*r = -r. Is -1/6 < r? True Suppose 0*f = -2*f - 60. Let r be (4/f)/(2/6). Is r at least 0? False Suppose 8 = -2*f - 4*s, -3*f + 4*s = 6 + 6. Let t be (2/6)/(f/(-12)). Which is smaller: t or -1/6? -1/6 Let z = 1 - 0. Suppose q - 1 = 1. Suppose 0 = -2*p - 3*k - 12, 18 = -5*p - 4*k + q. Are z and p equal? False Let n = 3/14 + -37/42. Are n and 8 non-equal? True Let y = -0.032 - -1.032. Is y > 1? False Let g = 0.7 - 0.7. Let u = g + 0.2. Let m = 0.3 + -0.1. Is u less than or equal to m? True Let b = -1 + 1.2. Let t(k) = k**2 + 13*k - 8. Let d be t(-8). Let p be 6/(-33) - d/22. Do p and b have different values? True Let u = -8 - -7.94. Let k = 0.11 + -0.07. Let j = u - k. Is j >= -0.1? True Let a be (-4)/(-21)*(-12)/8. Let n = 53.9 + -57. Let m = n - -3. Which is smaller: m or a? a Let h be -5*(-2 - 6/(-2)). Let r be 4*1*4/2. Let j be (10/(-36))/h*r. Is j equal to -1? False Let m = -22.4 + 5.4. Which is smaller: m or 1? m Let u be 2 + (-4)/33 - 1. Let q = -6/11 + u. Which is bigger: q or -4/5? q Let u be ((-1)/12)/((-3)/(-6)). Let g(k) = 5*k - 56. Let r be g(11). Is u at most r? False Let c(m) = -2*m - 11. Suppose -5*n = -3 + 43. Let s be c(n). Suppose 3*b + 17 = s. Is -4 greater than b? False Let c = 15 - 14. Is c not equal to 2? True Let v be 24/(-10) + (-4)/(-10). Let d(i) = i**2 + 4*i - 3. Let k be d(2). Let h be v/3 + (-3)/k. Is h < -1? False Let w be -7*((-4)/8)/(-1). Is w <= -4? False Let p = 0.107 + 0.093. Is p not equal to 31? True Let k be -15*1*3/(-9). Let p(h) = -h**2 + 2*h + 5. Let b be p(k). Let f = -7 - b. Which is smaller: f or 2? 2 Let k be ((-2)/(-8))/((-6)/(-8)). Which is bigger: -1 or k? k Suppose 0 = -2*r + 12 - 4, -5*h + r - 9 = 0. Which is smaller: -6/11 or h? h Let w = -1 + 3. Let n be ((-2)/(-2))/(w - 0). Let q be (-4)/18*(-12)/(-8). Which is bigger: q or n? n Suppose -2*m - 4*r - 8 = -0*r, -5*m + 4*r = -22. Suppose 3*k + 7 = 5*n, 0*n + m*k + 3 = 5*n. Which is smaller: -2/33 or n? n Let o be 1*13 + 13 + -16. Is 9 <= o? True Let p(d) = d**3 - 2*d**2 + d + 4. Let j be p(3). Let n = j - 13. Are n and 4 equal? False Let q be (52/39)/(20/6). Let t = -2 - -4. Let p be (-1 + t + -1)/(-2). Which is smaller: q or p? p Let l be (-2)/(-6) - (-16)/24. Let w(z) = -1 - z - z**2 + l. Let o be w(0). Is o not equal to -7/5? True Let w(q) = q**3 - 5*q**2 - 4*q - 7. Let h be w(6). Suppose 19 = -x + 4*t, -5*x = -0*x + h*t - 30. Which is bigger: -1/7 or x? x Suppose 2*d = -4*q + 16, q - 4 = -5*d - 0. Suppose 0 = g + g + 5*f - 21, 3*g - f - 57 = 0. Let x be g/(-10) - (-7 + q). Is x equal to 0? False Let u = 0.43 + -1.43. Which is smaller: u or -0.01? u Let c = -51 - -54. Is -2/17 equal to c? False Let y(v) = v. Let r(p) = p**2 + 3*p + 1. Let j(c) = 2*r(c) - 9*y(c). Let f be j(2). Suppose 0*g + g = 3*q, -g + f*q = 0. Is g bigger than -1/8? True Let r = -12 + 15. Let d = r + -4. Is -1 < d? False Suppose 3*b = 4*d - 9, 0*d - 15 = 5*b - 3*d. Let s be ((-2)/b)/((-2)/3). Is -1 greater than s? False Suppose 0 = 2*c - 7*c + 35. Let l = -8 + c. Are -1 and l nonequal? False Suppose -2*n + 3*s + 19 = 0, 1 + 3 = 2*n + 2*s. Suppose -8 = d - n*d. Suppose d*a = 2*k - 2, 5*a = k - 3 - 2. Is -3/5 at most as big as k? True Suppose -27*l - 12 = -30*l. Let w be (-5)/((-30)/21)*l. Is 13 greater than or equal to w? False Let w = -49 - -32. Which is bigger: -18 or w? w Let i = -1 + 0. Let r = i + -6. Let b = -7.3 - r. Which is smaller: -2/3 or b? -2/3 Let c = 2.7 + -5.5. Let k = c - -3. Is 2 equal to k? False Let n = 0.45 + 0.55. Which is bigger: -19 or n? n Suppose -4*o + 19 = 6*p - p, o + 14 = 5*p. Suppose 2*a - 35 = -p*a. Which is smaller: a or 8? a Suppose 12*o - 52 = -o. Which is smaller: o or 66/17? 66/17 Suppose -4*d + 4 = p, -4*p + 1 = 4*d - 3. Let y be -2 + (p/(-2))/(-1). Suppose -5*f - 3 - 2 = 0. Which is bigger: f or y? f Let j = 523/402 - 9/67. Is 2 less than j? False Let n = -36 - -36. Is -1/35 greater than n? False Suppose 6 = 4*l + 38. Let d = l + 17. Let o be 6/9 + (-2)/d. Which is greater: o or -1? o Let v be (16/(-20))/(3/(-90)). Let d be 8/v + (-17)/33. Is -1 < d? True Suppose -5*c + 3*c = 6. Let r(y) = -y - 6. Let x be r(-11). Suppose -x*o = 12 + 3. Are o and c unequal? False Let v = -27 + 31. Is 3 less than v? True Suppose 12*y = 8*y + 8. Let g be (-3 + 2)*(y - 1). Which is bigger: g or -7/6? g Let s(p) = p**3 + 6*p**2 + 4*p - 4. Let q be s(-5). Let i be (1/3)/1*3. Let a be 11 - 8 - (i + 0). Is q greater than a? False Let o = -12 + 10. Let h = -5 - o. Are -2 and h nonequal? True Let g(r) = -r**2 - 3*r - 1. Let t be g(-3). Let s be (-78)/(-260) + 1/6*-1. Which is greater: t or s? s Let l = 2824/37395 - 2/1385. Is l at most 0? False Suppose -p + 21 = -t - 6*p, -4*t + 3*p + 8 = 0. Do -1/8 and t have the same value? False Let q = -1 - -3. Let n = -1 + q. Does -1/2 = n? False Let z = 103/7 - 15. Is -18 >= z? False Suppose y = -2*d + 2, 0 = -4*y + d - 4 + 3. Let q be 1 + -2 - 8/(-4). Let n be 2*(-1 + q/2). Is y greater than n? True Suppose 2*n = 4*n. Suppose 5*j + 20 = -5*h, 0 = 5*j - h - 0*h - 4. Is n less than or equal to j? True Suppose 0 = 5*u + 35 - 5. Let g = 2 - u. Let m = g + -3. Which is smaller: 4 or m? 4 Suppose 3*r + 7 = j + 7*r, -3*j + 5 = -4*r. Suppose -3*z - j = -0. Let n be (9/6 - 3)/2. Is z < n? True Let x(q) = 3*q + 1. Let n be x(1). Suppose -3*t + n = -t. Suppose -t*c + 8 = -0. Is 3 smaller than c? True Let r be ((-1437)/(-1256))/(3/(-2)). Let y = r + 2/157. Suppose -3*h = -6*h - 6. Is y > h? True Suppose b - 7*b = -30. Is 7 at most b? False Suppose -4*r = 2*t - 6, 2*t - 7*t + 5*r + 45 = 0. Let h = -3 - t. Is h at least -9? False Suppose 0 = 4*d + 3*r + 120, -5*d + 4*r = -44 + 163. Is -28 > d? False Let z = 105 - 104. Which is smaller: 1/199 or z? 1/199 Let z(q) = q - 4. Let j be z(3). Let x be ((-352)/174 - j) + 1. Which is greater: 0 or x? 0 Suppose 2*x + 1 = 5. Suppose -6 = -u + x*t, 2*u + 1 = 2*t + 9. Are 1/2 and u non-equal? True Suppose -x - 4 + 1 = 0. Suppose 4*i - 17 = -b - 0*b, 0 = -b - 5*i + 22. Is x at most as big as b? True Let j(r) = -r + 1. Let y(d) = -d**2 + d - 1. Let c(n) = -3*j(n) - 4*y(n). Let p be c(1). Suppose 3 = -s + p*s. Is 3 < s? False Let u = -17 + 30. Let x = u + -8. Let t = 6 - 2. Is x smaller than t? False Let j(m) = -m**2 - 2*m + 3. Let p(k) = 2*k**2 + 6. Let h(g) = g**2 + 3. Let l(i) = 11*h(i) - 6*p(i). Let d be l(0). Let n be j(d). Which is bigger: -2/9 or n? n Let n = 7 + 1. Suppose -8 = -4*y - 2*c, 0 = y - 5*y - 4*c + n. Suppose -6*v + 4 = -2*v. Which is smaller: v or y? v Let v = -0.996 - 0.004. Let k = -5.07 + 0.07. Which is smaller: v or k? k Suppose -2*c - 8 = 2*c. Let s = c - -2. Let j be ((-8)/(-14))/((-60)/(-42)). Which is greater: j or s? j Let a = -0.2 + 0.3. Let q = 3.1 + -1.7. Which is smaller: q or a? a Let q = 0.14 + -11.14. Let h = q - -10.9. Is h not equal to -0.1? False Let v = -2 - 1. Let l be 2/v - 60/18. Let f be ((-7)/(-14))/((-1)/l). Which is greater: 4 or f? 4 Suppose 3 - 5 = -l. Suppose -5*j + g = -66, -l*j + j = 4*g - 30. Which is smaller: 13 or j? 13 Let s be (-6)/(-10) - (-12)/(-20). Which is bigger: s or 7? 7 Let b = -17 + 14. Let j = -1 - b. Is j at least -1/3? True Suppose 5*u - 4*v = -51,
{ "pile_set_name": "DM Mathematics" }
or i. -4 Solve 8*r - 6*r - 6 = z, 2*z - r + 9 = 0 for z. -4 Solve -2*n - 2 + 0 = 0, -a - n - 6 = 0 for a. -5 Solve -8 = 5*q + 3*x, 5*q + x = -9 - 7 for q. -4 Solve -2*f = 3*a + 9, -4*a - 9 - 3 = -5*f for a. -3 Solve -12*k - 9 = -9*k, -j + 5 = -k for j. 2 Solve -5*s = -s + 2*k - 10, -7 = -2*s + k for s. 3 Solve 0 = -4*k - n - 11, 7 = -7*k + n - 15 for k. -3 Solve 5*v = -5*p + 5, -165*p = v - 169*p + 14 for v. -2 Solve -4*a + 7*a + 21 = -2*k, 0 = -4*a - k - 18 for a. -3 Solve -3*b = -8*b + 2*i - 9, -5*b - 5*i = -5 for b. -1 Solve -35 = 5*d + 4*z, -4*d + 5*z - 6*z = 17 for d. -3 Solve 5*u = 2*c - 1 - 23, -3*u + 2*c = 16 for u. -4 Solve -p - p + 5*r - 19 = 0, 0 = 5*p + r - 20 for p. 3 Solve 3*r + 4*d = 16, -4*d + 16 = 2*r - 0*d for r. 0 Solve -2*d = -g - 2, 5*d - 13*g + 16*g = 27 for d. 3 Solve 2*u - 7 = -5*s - 53, -2*s = 3*u + 25 for s. -8 Solve -7*b + 2*p + 5 = -8*b, 4*b = -4*p for b. 5 Solve -4*s = 3*o - 22, -9 = -4*s + 4*o - 1 for s. 4 Solve 9*m - 4*m = 2*b, 5*b + 5*m = -35 for b. -5 Solve 171*m + 5*r = 166*m, 0 = 4*m + r for m. 0 Solve -11*m = -6*m + 5, 27 = 5*l - 2*m for l. 5 Solve 5*v - 25 = 0, -v = -w - 0*v - 2 for w. 3 Solve 2*o + 10 = 0, -10 = 2*h + 3*h + 5*o for h. 3 Solve 4*j + 9*h - 5*h = 20, -h + 4 = 0 for j. 1 Solve 3*f - 5*i - 2 = 0, -2*f + 3*i + 0 = -1 for f. -1 Solve -n - 4*p + 5 = 16, 2*p = -5*n - 1 for n. 1 Solve 0 = p + 3*p - 3*u - 22, -3*p + 14 = -u for p. 4 Solve 2*j - 2*w - 14 = -j, j - 10 = 2*w for j. 2 Solve -2 = 3*j + 7, -r - 3*j = 6 for r. 3 Solve -5*s = -5*l - s + 5, 2*s = -l + 15 for l. 5 Solve -4*q + 5*i = -40, 55 = 5*q - 3*i + 18 for q. 5 Solve 9*z = s + 5*z - 21, 3 = -s - 2*z for s. 5 Solve -2*p = -2*u + 2, -u - 53*p - 14 = -49*p for u. -2 Solve 4*f - 5*t = -28, 2*t = 43*f - 44*f + 19 for f. 3 Solve -5*v + 15 = -5*d, -4*v = -3*d + v - 11 for d. -2 Solve 0 = 2*z + s + 5, -z = 2*s - s for z. -5 Solve -2*v = 4, -4*w - 3*v - 34 = -20 for w. -2 Solve i + 5 = t, -72*i + 76*i - 5*t + 27 = 0 for i. 2 Solve -2*l = -2*i + 3*i - 6, 4*i - l + 3 = 0 for i. 0 Solve -2*o - 3*a = 13, 2*a - 204 + 231 = -5*o for o. -5 Solve -5*d = -3*r - 13, -4*d + 2*r + 14 = 4 for d. 2 Solve 3*p + 3*j - 11 = 7*j, 2*p = j + 4 for p. 1 Solve -a + t + 1 = -3, 3*a - t - 8 = 0 for a. 2 Solve 2*t = -5*m + 5*t - 4, -5*t + 18 = 3*m for m. 1 Solve 5*q + g = 25, -5*q + 2*g = -q - 20 for q. 5 Solve -28*t + 25*t = -3*i, -2*t + 4*i - 4 = 0 for t. 2 Solve -2*l + 2*h + 12 = 0, 0 = 5*l - 372*h + 373*h - 18 for l. 4 Solve 0 = 3*q + 3*x, 2*q - x = 3*x + 6 for q. 1 Solve -4*y - 4 = 3*i, -3*y = -5*y - i - 2 for y. -1 Solve 13*x - 10*x = 12, -36 = -5*g - 4*x for g. 4 Solve 4*f - 2*c = -10, 2*f = 5*c - 3*c - 10 for f. 0 Solve 5*v - 7*k = -2*k - 5, -5*k = 3*v + 35 for v. -5 Solve 3*b + 2*y + 2 = 7, 5*b + 5*y = 0 for b. 5 Solve -5*m + b = 2*b - 3, -b - 6 = -4*m for m. 1 Solve -40 = 4*c + 15*b - 11*b, 0 = -c + b for c. -5 Solve -4*p + 43*r - 44*r = -17, p + r - 5 = 0 for p. 4 Solve -3*g - 6*u + 2*u - 25 = 0, 0 = -4*g - 5*u - 32 for g. -3 Solve 5*i + 25 = 5*g, 19*g - 23*g = 3*i + 1 for g. 2 Solve -27 = -3*m + m + 5*x, -m - 3*x = 14 for m. 1 Solve 0 = 4*n - 5*r - 1 + 10, 2*n - 4*r + 12 = 0 for n. 4 Solve 5*v - 6 + 24 = -4*p, -2*v = p + 6 for p. -2 Solve i = 3*i - t - 1, 2*i + 4 = -4*t for i. 0 Solve 2*d - 12*f + 22 = -16*f, 25 = -5*f for d. -1 Solve -i + 3*w + 13 = 0, i - 9 - 12 = 5*w for i. 1 Solve -8*o + 11*o - 4*n = -5, -4*o - 9 = -3*n for o. -3 Solve 138*p = 5*h + 143*p - 15, 3*p = 3*h - 27 for h. 6 Solve -2*d - 1 = -v, 31 = 9*v + 4*d - 0*d for v. 3 Solve t - 3*d + 10 = 0, 38*t = 41*t + d for t. -1 Solve -3*x - 5*h = 10, 3*x = 2*h - 6*h - 11 for x. -5 Solve -2*b = -4*g + 34, 0 = -4*b + g - 3*g - 8 for b. -5 Solve -10*s - 1 = -2*m - 11*s, 0 = -5*m + 5*s - 20 for m. -1 Solve 0 = 2*l - 2*m, -2*m = -l + 4 - 1 for l. -3 Solve -p - 3*t = 6, 2*t = -p - p - 4 for p. 0 Solve -4 = 2*n, 4*n + 17 = 55*s - 58*s for s. -3 Solve -33 = 4*a - 5*k - 24, -1 = -3*a - 4*k for a. -1 Solve -3*u = -5*x + 27, 0*u - 4*u = -2*x + 22 for x. 3 Solve 2*m - z = 10, -3*z = -2*m - 2 + 12 for m. 5 Solve -r = -4*m - 7, -5 = -9*r + 6*r + 4*m for r. -1 Solve -5*r - 22 = -3*h, 25*h - 21*h - r = 1 for h. -1 Solve -43*t + 7 = v - 40*t, 0 = -2*v - 4*t + 8 for v. -2 Solve 0 = -5*a + 15, 3*z - 7*z - 4*a + 12 = 0 for z. 0 Solve 0*i - 3*i + 4*u - 17 = 0, 4*i - 4*u + 16 = 0 for i. 1 Solve -4*h - 4*o - 9 = 3, o = -2*h - 4 for h. -1 Solve 1 = c, 2*z + c = -2*c + 7 for z. 2 Solve 0 = d + 4*t - 10, -4*t - 4 = -16 for d. -2 Solve i + 11 = 3*h + 4, 4*h = 12 for i. 2 Solve 0 = -5*x + 10, -i = -5*x - 0*x + 6 for i. 4 Solve 0 = 4*k - 3*p - 3, -9 + 0 = -2*k - p for k. 3 Solve x - k + 0*k + 1 = 0, -2*k - 6 = 0 for x. -4 Solve 4*i = -5*w + 31, 3*w + 4*i - 13 = 3*i for w. 3 Solve 35 = -2*f + 5*g, f - g = -11 + 1 for f. -5 Solve 7 = 5*a + 19*c - 22*c, -5*a - 3*c - 17 = 0 for a. -1 Solve 2*v = 6 + 2, 22 = c + 5*v for c. 2 Solve 2*p = -y + 5, -215*y = -219*y - 3*p + 20 for y. 5 Solve -2*h + 3*s = -12, -2*h - s + 10 = -3*s for h. 3 Solve 2*w - 11 = -3*d, 4*d - 9 = 2*w + w for d. 3 Solve -5*a - 15 = -z, -13*z + 2*a = -10*z - 6 for z. 0 Solve 0 = -21*b + 19*b - o - 4, -4*b - 16 = -2*o for b. -3 Solve 84*o + v = 79*o, -o + 2*v = -11 for o. 1 Solve 0 = d - 4*y + 16, -12 = -2*d + 6*y - 9*y for d. 0 Solve 4*j - 6 = 2*u, u + 155 = 3*j + 152 for j. 0 Solve -2 = n, -2 = 6*l - 2*l - 5*n for l. -3 Solve -2*g = 2*o + o - 7, 3*o - 5 = -g for o. 1 Solve 0 = 4*o + 5*c + 41, -5*o + c = -3*o + 3 for o. -4 Solve 3*s + 12 = 3*p + 27, -2*s = 3*p + 15 for p. -5 Solve 5*c + 37 = -5*i + 52, -5*c - 3*i + 9 = 0 for c. 0 Solve 0 = u - 5*b + 7, -3*b - 8 = -2*u - 15 for u. -2 Solve -4*c - 5 = -0*x + 5*x, 3*x = -5*c + 10 for c. 5 Solve p + 3*p = 0, 2 = -2*j - p for j. -1 Solve -2*s - 2 = -3*v + 23, -3*v = 3*s for s. -5 Solve -q + 13 = 3*b, -4*b + 17*q - 14*q = 0 for b. 3 Solve 3*c = -5*g + 22, -3*c + 2*g + 13 - 5 = 0 for c. 4 Solve -3*p - 18 = -24*a + 23*a, -3*a = 4*p + 11 for a. 3 Solve 3*x - 3 = -18*c + 17*c, -17 = -4*x + 3*c for x. 2 Solve -3*w = a - 9, 31*w = 29*w - 4*a - 4 for w. 4 Solve 2*y - 129*m + 4 = -128*m, 4*m - 6 = 3*y for y. -2 Solve 0 = -2*s + 4*v - 18, v - 6 = 2*s + 3*v for s. -5 Solve -o + 6 = -h - 0, -h = -3*o + 16 for h. -1 Solve 4 = 5*w + 2*r + 10, -4 = 5*w + 3*r for w. -2 Solve 3*x = -4*g - 28 + 24, -g - 8 = -x for g. -4 Solve -5*t = 0, 0*w + t = -5*w for w. 0 Solve 0 = -3*k - 2*w - 13, -2*k + 13 = -0*k - 3*w for k. -1 Solve -3*p - s = -2*p, -3*s - 8 = -p for p. 2 Solve -4*n + 4*v = 16, -3*v - 12 = 2*n + 3*n for n. -3 Solve 2 = v, 0 = 5*c - 6*v + 9*v - 16 for c. 2 Solve 0 = -2*y - j - 10 + 2, 3*y + 2*j = -10 for y. -6 Solve -2*g + 10 = 12, -g = -4*m + 9 for m. 2 Solve f - 3*q = -4, -4*q - 4 = -2*f - 2*q for f. 5 Solve 0 = -4*s - 20, -5*s = 3*i - i + 15 for i. 5 Solve -3*f + 12 = -k + 2, 2*f = 5*k + 24 for k. -4 Solve -2*o + i + 7 - 4 = 0, -5*i = -5*o for o. 3 Solve -2*j + 7*j + 4*p = -2, -j = -4*p + 10 for j. -2 Solve -10*f - 5*d = -7*f - 49, -4*f + 28 = 2*d for f. 3 Solve -5*q + 10 - 18 = 4*l, 2*l - 3*q = 18 for l. 3 Solve 5*w = -3*a + 11, 4*w + 11 = 3*w - 5*a for w. 4 Solve a - 2*n + 4 + 2 = 0, n = -a - 3 for a. -4 Solve -2*m + 56 = 10*l, m + 2*l + 5 = 15 for m. -2 Solve 4*g + 37 = 5*n, -2*g = 10*n - 15*n + 31 for n. 5 Solve 41 = -2*a + 55, 2*a - 9 = s for s. 5 Solve 4*i = 2*a + 8, 6*a - 8 = 11*a - 4*i for a. 0 Solve 0 + 1 = u, 19 = -5*s + 4*u for s. -3 Solve 2*k = 2*q - 3*k - 25, 5*k + 5 = -2*q for q. 5 Solve -2*f - 5*b = -29, 4*b = 11 + 9 for f. 2 Solve -7 = -3*j + 2*o, -o = -0*j + 2*j for j. 1 Solve -2*v - 34*h = -32*h + 10, -3*v - 5*h = 21 for v. -2 Solve -5*f + 2 = -2*d - 0, -5 = -3*f + 5*d for f. 0 Solve -t + 3*x + 4 = 0, -10*t = -5*t + 5*x for t. 1 Solve -v = -4*a - 6*v - 10, 4*a + 2*v + 4 = 0 for a. 0 Solve 3*f + 10 = -4*y + f, -4*f = -5*y - 32 for y. -4 Solve 0 = b + 5*x + 10, 2*b - 4*x - 14 = 8 for b. 5 Solve -3*g - u - u = 19, -3*g + 4*u + 11 = 0 for g. -3 Solve 4*c + x - 3 = 2*c, 27 = 4*c - 5*x for c. 3 Solve 5*c + 33 = 2*o, -c + 20*o - 21 = 16*o for c. -5 Solve 0 = 4*r + 5*a - 8, -5*a + 5 = 5*r for r. -3 Solve -5*u - 8 = -2*q, 3*u + 3 = q - 1 for u. 0 Solve 0 = -4*c + 5*k - 40, -4*c - 55 = -13*k + 17 for c. -5 Solve 0 = -3*o + 5*u - 5, 5*u - 2*u = -4*o + 3 for o. 0 Solve -3*d - 3*b = -12, 0 = -48*d + 50*d - 2*b + 4 for d
{ "pile_set_name": "DM Mathematics" }
eds digit of 34398? 3 What is the ten thousands digit of 31169? 3 What is the hundreds digit of 21204? 2 What is the thousands digit of 13520? 3 What is the hundreds digit of 50553? 5 What is the thousands digit of 159935? 9 What is the ten thousands digit of 48766? 4 What is the tens digit of 888? 8 What is the hundreds digit of 1622? 6 What is the tens digit of 40323? 2 What is the hundreds digit of 385? 3 What is the units digit of 1082? 2 What is the tens digit of 606? 0 What is the tens digit of 461? 6 What is the thousands digit of 12471? 2 What is the hundreds digit of 2238? 2 What is the hundreds digit of 2168? 1 What is the tens digit of 18182? 8 What is the thousands digit of 1219? 1 What is the units digit of 6696? 6 What is the units digit of 247? 7 What is the hundred thousands digit of 114241? 1 What is the tens digit of 4340? 4 What is the units digit of 12051? 1 What is the tens digit of 851? 5 What is the hundreds digit of 58571? 5 What is the tens digit of 2354? 5 What is the thousands digit of 7451? 7 What is the ten thousands digit of 120377? 2 What is the hundreds digit of 1881? 8 What is the tens digit of 3902? 0 What is the hundreds digit of 9838? 8 What is the thousands digit of 7418? 7 What is the ten thousands digit of 57839? 5 What is the units digit of 7315? 5 What is the tens digit of 3007? 0 What is the hundreds digit of 8355? 3 What is the units digit of 8077? 7 What is the hundreds digit of 15066? 0 What is the thousands digit of 1658? 1 What is the tens digit of 72? 7 What is the units digit of 33909? 9 What is the hundreds digit of 2927? 9 What is the thousands digit of 7021? 7 What is the thousands digit of 12229? 2 What is the tens digit of 1010? 1 What is the hundreds digit of 8614? 6 What is the thousands digit of 49787? 9 What is the units digit of 37210? 0 What is the hundreds digit of 198? 1 What is the tens digit of 118? 1 What is the tens digit of 28813? 1 What is the units digit of 1141? 1 What is the thousands digit of 5900? 5 What is the hundreds digit of 4424? 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3 What is the uni
{ "pile_set_name": "DM Mathematics" }
**2 + 27*i*y - 53*i - 16224*m*y + 6 with respect to m. -360*i**2*y - 3*i**2 - 16224*y What is the third derivative of -2*d**6 - 27276602*d**4 - 2*d**2 - 28*d + 106117 wrt d? -240*d**3 - 654638448*d What is the first derivative of 234913153*r**2 + 311282875? 469826306*r Find the second derivative of 8557602*r**2 + 1522300*r - 1 wrt r. 17115204 Find the first derivative of 13*q**2 - 102159*q + 9640624. 26*q - 102159 What is the third derivative of 1427*h**2*v**3 + h**2 + 146085895*h*v**2 + 14738*v**3 wrt v? 8562*h**2 + 88428 Differentiate 195926444*h - 126204918 with respect to h. 195926444 Find the first derivative of -1239842*b**4 + 9843114 wrt b. -4959368*b**3 Find the second derivative of 2810*m**5 + 3*m**4 - 2*m**3 + 42865267*m. 56200*m**3 + 36*m**2 - 12*m Find the second derivative of 16*k**4 - k**3 - 14450*k**2 - 15059392*k wrt k. 192*k**2 - 6*k - 28900 Find the third derivative of -453672015*l**3 - l**2 + 48764603*l. -2722032090 What is the second derivative of 904734577*t**3 + 425091053*t? 5428407462*t What is the second derivative of 22493581*l**2 - 95003698*l? 44987162 Find the third derivative of -349338*f**3*l*r**2*t + 102*f**3*l*r**2 + 8*f**2*l*r**2 + 8*f**2*l*t - 329400*f*r**2 - 3*l*r*t wrt f. -2096028*l*r**2*t + 612*l*r**2 Differentiate 9464157*a**2*w - 3669706*a**2 + 2 with respect to w. 9464157*a**2 Find the third derivative of 503620691*g**5 + 55978*g**2 + 5275. 30217241460*g**2 What is the first derivative of -4*q*r*t - 2*q*r + 152*q*t - 3*q + r*t - 2*r + 2195*t + 5308766 wrt t? -4*q*r + 152*q + r + 2195 Differentiate -1807838*y**4 + 3*y**3 + 6893102 with respect to y. -7231352*y**3 + 9*y**2 What is the derivative of 10845027*w**4 + 10*w**2 - 467934242? 43380108*w**3 + 20*w Find the third derivative of -864201608*b**3*s**4 + 2*b**3*s**3 - b**3*s**2 + 2*b**3*s + 2*b**3 - 47*b**2*s**2 + 130667*b**2 + 2*b wrt s. -20740838592*b**3*s + 12*b**3 Find the second derivative of -130592945*a*w**4 + 62*a*w - a - 40104*w wrt w. -1567115340*a*w**2 What is the derivative of -129852339*s**2 - 620073501 wrt s? -259704678*s Find the first derivative of -87190463*m**2 + 392989233. -174380926*m Find the third derivative of -556365944*z**3 - 1106444507*z**2. -3338195664 What is the second derivative of 18749102*j**2 + 300800*j - 4 wrt j? 37498204 Find the first derivative of -730503*x**2 - 14245156. -1461006*x Differentiate 253911*l**4*v**2 - 3*l**2*v**2 - 5220296*v**2 with respect to l. 1015644*l**3*v**2 - 6*l*v**2 What is the second derivative of 178329392*a**2 - 732941823*a? 356658784 What is the third derivative of 2*o**4 + 53772759*o**3 + 740478036*o**2 wrt o? 48*o + 322636554 Find the second derivative of 63053195*n**2 - 32151626*n wrt n. 126106390 Find the third derivative of 68147263*d**4 + 19*d**2 - 2612206 wrt d. 1635534312*d What is the third derivative of 11*l**4 - 81216*l**3 - 26408818*l**2? 264*l - 487296 What is the third derivative of 73435004*c**3 - 280754164*c**2? 440610024 Find the second derivative of -2*d**2*x**2 + 28*d**2*x + d**2 - 4231347*x**2 + 13338*x wrt x. -4*d**2 - 8462694 What is the derivative of 9946*g**2 + 18563*g - 241009275 wrt g? 19892*g + 18563 What is the third derivative of -2953804*m**3*z + 33*m**2*z - 3030*m**2 + 44*m*z wrt m? -17722824*z Differentiate 6802793*f + 525830. 6802793 Find the third derivative of -1374746300*s**3 - 822591106*s**2 wrt s. -8248477800 What is the derivative of 394404*k**3 + 2*k**2 - 43204253 wrt k? 1183212*k**2 + 4*k What is the third derivative of -281009275*a**3 - 88962429*a**2 wrt a? -1686055650 Find the third derivative of -100693051*b**3 + b**2 - 3*b + 881203. -604158306 What is the third derivative of -d**4*t**2 + 2008523*d**3*t**2 + 669*d**2*t**2 + 3683*d*t - d wrt d? -24*d*t**2 + 12051138*t**2 Find the third derivative of -33105832*n**3 + 983*n**2 - 7914*n wrt n. -198634992 What is the third derivative of 9*i**5*m**3 - 75159*i**5*m - i**2*m**3 + i**2*m - 2*i**2 + 878*i*m**3 + 3*m**2 + 4*m wrt i? 540*i**2*m**3 - 4509540*i**2*m What is the third derivative of -9896999*h**4 - 7821*h**2 + 245*h - 2 wrt h? -237527976*h What is the second derivative of -2*q**4 - 395684*q**3 - 55*q**2 + 80*q + 416256? -24*q**2 - 2374104*q - 110 What is the derivative of -4301*t**3 - 10*t**2 + 126*t - 6054123 wrt t? -12903*t**2 - 20*t + 126 Find the second derivative of s**4 + 2927760*s**2 - 5*s - 1644705 wrt s. 12*s**2 + 5855520 Find the third derivative of -725791*p**3 - 720600*p**2 - 3*p wrt p. -4354746 What is the derivative of -376465*x**2 - 4*x + 18002128? -752930*x - 4 Find the second derivative of -793319*c**4*g**2 - 149*c**2*g**3 - 2274*c*g**3 + 27*c*g**2 - 2*c*g + 14*c + 2*g**3 wrt c. -9519828*c**2*g**2 - 298*g**3 What is the first derivative of -34958*g**3*i + 15*g**3*j + g**3 - g**2*i - g**2*j - 4*g*j + 2614*g - 279*i*j wrt i? -34958*g**3 - g**2 - 279*j What is the derivative of 3830938*r*t + 13441471*r wrt t? 3830938*r Find the third derivative of 125*i**4*v + 2*i**4 - 12*i**3*v + 2688*i**3 - 15875*i**2*v + 2*i**2 - 373*v wrt i. 3000*i*v + 48*i - 72*v + 16128 Find the first derivative of -12552767*a**4 - 16642353. -50211068*a**3 What is the derivative of 89619764*h**2*u - 75505760*h**2 wrt u? 89619764*h**2 Differentiate -10919*d**4 - 377*d**2 + 6127125 wrt d. -43676*d**3 - 754*d What is the first derivative of 19*c**4*h - 652503*c*h - 7*h - 1313980 wrt c? 76*c**3*h - 652503*h What is the third derivative of -f**5 + 244*f**4 - 18338*f**3 + 389310*f**2 - 2*f + 534 wrt f? -60*f**2 + 5856*f - 110028 Differentiate 1088*o**2*p + 231001*o**2*v + 61249*o*p - 308*p*v with respect to v. 231001*o**2 - 308*p What is the second derivative of -1174*c*z**2 + 159*c*z + 73*c + 525*z**2 + 7*z wrt z? -2348*c + 1050 What is the second derivative of 2215*g**3*p**2 - 101*g**3*p - g**2*p**2 + 42*g*p**2 - 6*g*p - p**2 + 142 wrt p? 4430*g**3 - 2*g**2 + 84*g - 2 What is the third derivative of -61*r**6 + 85269*r**5 + 3*r**3 - 8*r**2 - 1964*r - 11? -7320*r**3 + 5116140*r**2 + 18 Find the third derivative of -225*n**4*o + 103*n**4 + 14*n**3*o - 2*n**3 + 358*n**2*o + 1692*o wrt n. -5400*n*o + 2472*n + 84*o - 12 Find the first derivative of -2494*g**4 - 3097*g**3 - 134602629 wrt g. -9976*g**3 - 9291*g**2 Find the first derivative of -109976*p**3*r - 98*p**2 + 98475375*r wrt p. -329928*p**2*r - 196*p What is the derivative of 3*w**2 - 321562*w + 8412492 wrt w? 6*w - 321562 What is the third derivative of -4257*n*v*z**3 + 2*n*v*z**2 + 2*n*v*z - 27*n*v - 71*n*z**3 - 427*n + v*z**3 - 2*v*z**2 wrt z? -25542*n*v - 426*n + 6*v Find the third derivative of 90*s**2*x**3 - 3*s**2*x**2 + 121583*s**2 + 317*x**3 wrt x. 540*s**2 + 1902 Find the third derivative of 10*o**3*s**3 - 12438295*o**3*s**2 - 2*o**3 + 7*o**2*s + 3*s**3 - 3416147*s wrt o. 60*s**3 - 74629770*s**2 - 12 What is the second derivative of -3*h**2*q**2 - h**2*q + 2*h**2 - h*q - 125577*q**2 + 47*q - 1934 wrt q? -6*h**2 - 251154 Differentiate f**4 + 43008397*f*x + 1921237*x + 19 wrt f. 4*f**3 + 43008397*x What is the second derivative of -207584711*c**2*y - 2355*c*y + 6376*c wrt c? -415169422*y Differentiate -1608*b**3*d*r + 2*b**3*r - 4*b**3 - 95153*b**2*d**2*r + 4799*b**2*r - b*r - 16*r - 12 with respect to d. -1608*b**3*r - 190306*b**2*d*r What is the derivative of 13*c**3 + 705900*c + 99737459 wrt c? 39*c**2 + 705900 Find the third derivative of 31863187*w**4 + 3*w**2 + 1106307*w + 2 wrt w. 764716488*w What is the derivative of -12223793*c**3*j + 3002*c**3 - 284*c wrt j? -12223793*c**3 What is the derivative of 5*n**3 + 6031176*n**2 - 2*n - 31074160 wrt n? 15*n**2 + 12062352*n - 2 Find the second derivative of 174542276*d**2 - 3152*d - 12328. 349084552 What is the derivative of -9*f*h**3 - 66*f*h + 1720*f - 14*h**3 - 175382*h**2 wrt f? -9*h**3 - 66*h + 1720 Find the second derivative of -743426955*b**3 - 8*b + 21549353. -4460561730*b What is the second derivative of -970*d**4 + 154*d**3 - 20*d**2 + 6938*d - 1041? -11640*d**2 + 924*d - 40 Find the second derivative of -4882617*l**3 + 7714411*l. -29295702*l Find the third derivative of -29674563*p**4 + 104911388*p**2 wrt p. -712189512*p Find the second derivative of -376630632*s**2 - s - 89514505 wrt s. -753261264 Find the second derivative of y**5 - 29677646*y**4 - 77812*y + 114. 20*y**3 - 356131752*y**2 W
{ "pile_set_name": "DM Mathematics" }
10, -4*r - 20 + 3 = -5*u. Suppose 4 = t + r. Find the third derivative of 2*h**4 - 4*h**4 - h**2 - 3*h**2 + h**t wrt h. -48*h Let h(w) = 21*w**5 + 15*w**3 + 27*w - 15. Let s(t) = -3*t**5 - 2*t**3 - 4*t + 2. Let g(x) = 2*h(x) + 15*s(x). Find the second derivative of g(q) wrt q. -60*q**3 Let d(c) be the second derivative of c**5/4 + c**3 - 5*c. Find the second derivative of d(z) wrt z. 30*z Let i(k) = -4*k**2 + 3*k + 10*k + 5 + k**2. Let l(b) = 4*b**2 - 20*b - 8. Let w(a) = 8*i(a) + 5*l(a). What is the second derivative of w(j) wrt j? -8 Let t(s) be the second derivative of s**8/1680 - s**4/12 + s**3/2 + 2*s. Let c(p) be the second derivative of t(p). Differentiate c(w) wrt w. 4*w**3 Let b(y) be the third derivative of -1/6*y**3 - 1/30*y**5 + 0*y**4 + 0*y - 3*y**2 + 0. Differentiate b(h) with respect to h. -4*h Let g(h) be the third derivative of 7*h**6/120 + h**4/3 - 2*h**2. Find the second derivative of g(b) wrt b. 42*b Let a(v) be the third derivative of 7*v**2 + 0*v**5 + 0*v - 1/42*v**7 + 7/6*v**3 + 0*v**4 + 0*v**6 + 0. Find the first derivative of a(y) wrt y. -20*y**3 Let p(y) = y**3 + 2*y**2 - 4*y. Let k be p(-3). Suppose k*v = 31 - 7. Find the second derivative of 8 + z - v - 2*z**2 wrt z. -4 Let g(d) = 0 - 5*d**3 + 2 - 3*d**2 + 3. Let z(p) = -4*p**3 - 2*p**2 + 5. Let r(t) = 2*g(t) - 3*z(t). Find the first derivative of r(s) wrt s. 6*s**2 Let q(m) be the first derivative of 4/7*m**7 + 0*m**4 + 0*m - 4 + m**3 + 0*m**5 + 0*m**6 + 0*m**2. What is the third derivative of q(y) wrt y? 480*y**3 Let h(v) be the first derivative of v**6/72 - v**4/24 + v**3/3 + 4. Let u(a) be the third derivative of h(a). Differentiate u(t) wrt t. 10*t Find the first derivative of 3*y**4 - 9 + 0 + 5 wrt y. 12*y**3 Let v(r) = r. Let k(i) = -i**3 + 3*i**2 + 3*i + 5. Let u be k(4). Let t(a) = 3*a**3 - 6*a + 4. Let s(y) = u*t(y) + 6*v(y). Differentiate s(m) with respect to m. 9*m**2 Let w(a) be the third derivative of -a**7/210 - 7*a**5/60 - a**4/8 + 7*a**3/6 - 53*a**2. What is the second derivative of w(v) wrt v? -12*v**2 - 14 Let x(t) = t**4 + t**2 + t - 1. Let o(m) = 10*m**5 + 2*m**4 + 13*m**2 + 2*m - 2. Let p(q) = o(q) - 2*x(q). What is the third derivative of p(j) wrt j? 600*j**2 Let o(s) be the third derivative of -s**7/70 - s**5/15 + 5*s**2. What is the third derivative of o(y) wrt y? -72*y Let b(f) = 3*f - 6. Let w be b(9). Find the third derivative of -x**5 + 4*x**2 - w*x**6 + 26*x**6 + x**5 wrt x. 600*x**3 Let l be 11 + -7 + -4*1. What is the third derivative of 0*s**2 - 2*s**2 + s**4 + l*s**4 wrt s? 24*s Let s(y) be the first derivative of 3*y**4/4 - 14*y + 4. Find the first derivative of s(t) wrt t. 9*t**2 Suppose -4*t + 12 = -2*d, 0*t - t - 2 = -3*d. Find the third derivative of -2*r**t - r**2 + 0*r**4 - r**2 - r**2 wrt r. -48*r Let p = -3 - -7. What is the second derivative of 5*h - 2*h + 3*h - p*h**4 wrt h? -48*h**2 Suppose -5*w = 20, 0 = 2*q + 3*w + w + 26. Let c = -2 - q. Differentiate 2 - d**3 - c*d**3 + d**3 wrt d. -9*d**2 Let c be (16/12)/(2/6). What is the second derivative of 4*h + 0*h**c - 2*h**4 - h wrt h? -24*h**2 Let y(i) be the second derivative of i**8/840 - i**4/3 + 3*i**3/2 + 7*i. Let l(x) be the second derivative of y(x). Differentiate l(h) with respect to h. 8*h**3 Let x(q) be the first derivative of 16*q**3/3 - q**2/2 + 17. Find the second derivative of x(p) wrt p. 32 Let j = 14/75 - -12/25. Let q(o) be the first derivative of 0*o - 3/2*o**2 - 3 + j*o**3. Find the second derivative of q(h) wrt h. 4 Let s(o) = -3. Let v(m) = 4. Let z(f) = 3*s(f) + 3*v(f). Let t(w) = w + 2. Let x(g) = -4*t(g) + 5*z(g). What is the first derivative of x(k) wrt k? -4 Let k(w) be the second derivative of -w**6/15 + 15*w**2/2 + 31*w. What is the derivative of k(d) wrt d? -8*d**3 Let k(i) be the third derivative of i**5/30 - i**4/24 - 7*i**2. Find the second derivative of k(u) wrt u. 4 Let t(a) = 14*a + 11. Let c(p) = -14*p - 11. Let i(b) = 3*c(b) + 2*t(b). What is the first derivative of i(f) wrt f? -14 Suppose 2*b - 5 = -3*n, 3*b + 2*n + 1 - 11 = 0. Find the third derivative of -2*s**4 + 0*s**4 + s**b + 0*s**4 + 4*s**2 wrt s. -24*s Differentiate -17 + 21*v**4 + 40*v**2 - 82*v**2 + 42*v**2 with respect to v. 84*v**3 Suppose 2*i - 5 = 5. Let s = 10 - i. Find the third derivative of 7*b**5 - 4*b**2 - 7*b**s + b**2 + b**6 wrt b. 120*b**3 Let k(v) be the third derivative of 0*v + 0 - 1/20*v**5 - 3*v**2 - 1/8*v**4 + 0*v**3. What is the second derivative of k(i) wrt i? -6 Let s(u) be the third derivative of 3*u**8/112 + 7*u**5/15 + 18*u**2. Find the third derivative of s(x) wrt x. 540*x**2 Let t(p) be the third derivative of 0 + 0*p + 0*p**3 + 0*p**4 - 1/15*p**5 - 10*p**2 - 1/20*p**6. Find the third derivative of t(n) wrt n. -36 Let x be -2 + 5/3*3. Differentiate n**3 + 7 - 4*n**x - 4 wrt n. -9*n**2 Let l be -2*3/((-3)/10). Suppose l = 7*t - 2*t. What is the third derivative of -3*d**2 - d**2 + 2*d**4 + 7*d**2 - 4*d**t wrt d? -48*d Let n be (8/(-6))/((-1)/3). Suppose 0*v = -2*v + n. Find the third derivative of -v*u**3 + 2*u**3 - 3*u**3 + u**2 wrt u. -18 Let r(o) be the first derivative of -2*o - 2/3*o**3 + 0*o**2 + 1. What is the first derivative of r(z) wrt z? -4*z What is the second derivative of -m**2 - 2*m**2 + 12*m - m**2 - 2*m**2 wrt m? -12 Let j(v) be the third derivative of 3*v**5/20 - 5*v**4/8 + 30*v**2. What is the second derivative of j(o) wrt o? 18 Suppose 0 = 3*a - 3*u, -u = 2*a - 4*u + 2. Suppose -2*h + 2 + a = 0. Find the third derivative of 0*g**h + 0*g**2 + g**2 - 2*g**4 + 0*g**2 wrt g. -48*g Let z = 14 - 12. Find the third derivative of 3*b**2 - b**z + 2*b**5 + 0*b**2 + 2*b**5 wrt b. 240*b**2 Let y(b) be the second derivative of 1/5*b**6 + 0 + 0*b**3 + 0*b**5 - 1/2*b**2 + 0*b**4 - 4*b. What is the first derivative of y(f) wrt f? 24*f**3 Let t(i) = 2*i - 11. Let q(l) = 2*l - 11. Let h(z) = -3*q(z) + 2*t(z). Let v(g) = -g + 5. Let b(o) = -2*h(o) + 5*v(o). What is the derivative of b(y) wrt y? -1 Let v(p) = -p + 1. Let z(x) = -2*x**5 - 3*x**2 + 6*x - 6. Let g = 0 + -1. Let f(j) = g*z(j) - 6*v(j). Find the third derivative of f(d) wrt d. 120*d**2 Let u(c) = -c**2 - 7*c - 4. Let g be u(-6). Suppose -4*z = 13 - 37. Find the third derivative of -2*v**g - 2*v**2 + 3*v**5 + z*v**2 wrt v. 180*v**2 Let n(y) be the second derivative of y**10/30240 - y**7/360 + y**4/2 - 2*y. Let b(f) be the third derivative of n(f). Find the third derivative of b(u) wrt u. 60*u**2 Let u(a) = a**4 - a**3 - a**2. Let q(c) = -40*c**4 + 6*c**3 - 23*c**2. Let i(z) = q(z) + 6*u(z). What is the third derivative of i(y) wrt y? -816*y Let l(p) = 55*p + 45. Let y(i) = 14*i + 11. Let k(h) = -4*l(h) + 15*y(h). What is the first derivative of k(x) wrt x? -10 Let i = 12 - 10. Find the third derivative of -5*s**6 - 4*s**2 + 3*s**i + 2*s**2 + 3*s**2 wrt s. -600*s**3 Let z(m) = 28*m**4 + m**3 + 4*m + 1. Let b(n) = n**4 + n**3 - n + 1. Let o(l) = b(l) - z(l). Find the second derivative of o(q) wrt q. -324*q**2 Suppose 3*s = 16 - 7, 0 = -4*i + 2*s - 18. Let r(x) = x**3 + 2*x**2 - 5*x - 4. Let k be r(i). What is the derivative of -6*l**k + 2*l**2 - 2 + 2*l**2 wrt l? -4*l Let n(h) be the third derivative of -4*h**2 - 1/2*h**3 + 0 + 0*h - 1/6*h**4. Differentiate n(c) wrt c. -4 Let n be (-6)/(-5)*10/3. Suppose -j + 2 = -5*o + 15, -10 = j - 4*o. Find the second derivative of h - h**2 + 2*h**n + h**j wrt h. 24*h**2 Suppose -2*c + 4 = 4*y, -4*y = -y + 4*c - 8. Suppose y = 3*a - 4*v - 17, 3*a - 14 = a + 4*v. Find the second derivative of 2*o**3 + o - a*o - 2*o wrt o. 12*o Let c(m) = -1. Let x(a) = a - 6. Let k(y) = -3*c(y) + x(y). Let t be k(7). Differentiate 6*r**2 + 3 - 1 - t*r**2 with respect to r. 4*r Let a(f) be the third derivative of f**7/21 + f**6/60 + 25*f**4/24 + 5*f**2 - 2*f. Find the second derivative of a(g) wrt g. 120*g**2 + 12*g Let s = 146 - 583/4. Let l(p) be the first derivative of 4/3*p**3 - 4 - s*p**4 + 0*p + 0*p**2. Find the third derivative of l(t) wrt t. -6 Let c(o) = -o**3 - 3*o**2 + 5*o + 6. Let r be c(-4). Let q be (-16)/(-3) + 12/(-36). Find the third derivative of -l**2 - r*l**q + 5*l**5 - 2*l**2 wrt l. 180*l**2 Suppose 7*c = 4*c. Let m(w) be the second derivative of 0 + c*w**2 + 2*w + 0*w**5 + 0*w**4 + 1/6*w**3 - 1/15*w**6. What is the second derivative of m(z) wrt z?
{ "pile_set_name": "DM Mathematics" }
Calculate b(g(m)). -12*m**2 Let r(n) = -12 - 81*n + 1 + 11. Let u(l) = 2*l**2 + 4*l. Let f(o) = -o**2 - o. Let b(w) = -4*f(w) - u(w). Calculate r(b(z)). -162*z**2 Let h(y) = 1819*y + 2. Let d(v) = 5*v. What is h(d(b))? 9095*b + 2 Let u(v) be the second derivative of v**4/12 + 652*v. Let w(s) = 925*s. Determine w(u(h)). 925*h**2 Let t(g) = -4*g**2 - 18*g. Let q(p) = p**2 + 4*p. Let y(j) = 18*q(j) + 4*t(j). Let f(i) = i**2 + 22*i. Give f(y(d)). 4*d**4 + 44*d**2 Let o(v) = 42*v + 42. Let i(k) = 2*k. What is o(i(w))? 84*w + 42 Let p(v) = 14*v**2. Let r(d) = 17*d - 52*d + 20*d + 17*d. Determine p(r(f)). 56*f**2 Let n(x) be the second derivative of 0 + 0*x**3 + 0*x**2 + 1/6*x**4 + 2*x. Let t(l) = 9*l. Give t(n(z)). 18*z**2 Let d(g) = 3*g**2 - 4*g**2 + 6*g**2. Suppose -7 = -s + 10. Let p(q) = 4*q. Let z(y) = 11*y. Let u(j) = s*p(j) - 6*z(j). Calculate d(u(a)). 20*a**2 Let c(t) = -t. Let p(l) = 446*l**2 + 16*l + 10. Let f(g) = -148*g**2 - 5*g - 3. Let a(u) = -10*f(u) - 3*p(u). Calculate a(c(s)). 142*s**2 - 2*s Let c(t) = -8*t**2 - 14 + 11 + 40*t**2 + 3. Let w(j) = -7*j**2. Give w(c(h)). -7168*h**4 Suppose 12*w = 10*w + 1390. Let n(f) = 695*f - w*f + f**2. Let l(u) = 9*u**2. Calculate n(l(k)). 81*k**4 Let t(w) = 7*w - 14*w + 8*w. Suppose 16 - 4 = 4*m. Let q(k) = -m*k - 5*k + 2*k. What is t(q(z))? -6*z Let f(u) = 1141*u**2. Let i(k) = -35*k. Calculate i(f(s)). -39935*s**2 Let v(n) = 3*n**2. Let t = 2504 + -1120. Suppose 5*u + 109 - t = 0. Let j(p) = u - 255 + 2*p. What is v(j(l))? 12*l**2 Let b(y) = 3364*y. Let z(q) = -111*q**2. Calculate b(z(i)). -373404*i**2 Let z(t) = 5*t + t**2 - 14*t + 9*t. Let u(n) be the third derivative of -n**4/8 - 11*n**2. What is u(z(k))? -3*k**2 Suppose 5*u - 2 - 3 = 0. Suppose 3*n - u - 38 = 0. Let s(q) = 13 - n + q**2 - 2*q**2. Let x(w) = -2*w**2. What is s(x(b))? -4*b**4 Let y(o) = 2*o**2 - 56*o - 52. Let m be y(29). Let f(v) be the first derivative of 0*v + 1/2*v**2 - m. Let c(j) = -7*j**2. Give c(f(h)). -7*h**2 Let f(r) = 2*r. Let k(j) = -351*j + 26. Let u(l) = 67*l - 8. Let c(n) = -68*n + 7. Let m(x) = 3*c(x) + 2*u(x). Let z(b) = 5*k(b) - 26*m(b). Determine z(f(o)). 130*o Let g(r) = -2*r**2. Let o(n) = -4*n - 22. Suppose 0 = 5*m - 9 + 39. Let y be o(m). Let w(d) = -y*d**2 - 9 + 5 + 4. What is w(g(q))? -8*q**4 Let r(q) = -3*q + 33. Let s(f) = -f - 23. Give s(r(d)). 3*d - 56 Let a(w) = 9*w. Let n(v) = -2*v**2 + 3*v + 906. Determine n(a(x)). -162*x**2 + 27*x + 906 Let y(t) = 2*t**2. Let z be (-5)/((-2)/(4/2)). Let h be 0/1 + -2 + z. Let n(c) = 2*c + 7*c + c - h*c. Calculate n(y(i)). 14*i**2 Let h(t) be the second derivative of 0 + 0*t**2 - 1/2*t**4 + 0*t**3 - 13*t. Let z(f) = -f**2. What is h(z(v))? -6*v**4 Let n(s) = 10652*s. Let w(f) = 3*f + 26. Calculate n(w(y)). 31956*y + 276952 Let l(k) = 51443*k**2. Let n(i) = -4*i**2. What is n(l(u))? -10585528996*u**4 Let r = 7 - 5. Let d(y) = -y + y + y**2 + y**r. Let w(m) = 6*m**2 + 2. Let n(h) = -25*h**2 - 9. Let t(z) = 2*n(z) + 9*w(z). What is t(d(l))? 16*l**4 Let w(o) = 10*o + 2. Let g(r) = 26*r - 7. What is g(w(q))? 260*q + 45 Let u(h) = 8*h**2. Let j(c) = c + 2. Let o(g) = 34*g - 20. Let d(w) = 20*j(w) + 2*o(w). Calculate d(u(q)). 704*q**2 Let i(c) = -3*c**2 - 6*c + 42. Let v(g) = -22*g. Give i(v(m)). -1452*m**2 + 132*m + 42 Let v(y) = 24731*y**2. Let b(a) = -4*a**2. Calculate b(v(j)). -2446489444*j**4 Let q(u) = -17*u**2. Let c(s) = 26*s**2 - 7*s - 7. Let v(x) = 13*x**2 - 3*x - 3. Let g(z) = 3*c(z) - 7*v(z). What is q(g(i))? -2873*i**4 Let h(l) = -419*l**2. Let j(w) = -w**2 - 2*w - 6. Let n(b) = 5*b**2 + 11*b + 33. Let c(o) = 11*j(o) + 2*n(o). Determine c(h(d)). -175561*d**4 Let j(t) = 5*t - 5*t + t**2. Let p(s) be the second derivative of s**3/6 - 624*s. What is p(j(q))? q**2 Let j(t) = -5*t + 1. Let x(c) = -23*c - 8. Let n(f) = 5*j(f) - x(f). Let p(y) = -2*y**2. Calculate n(p(g)). 4*g**2 + 13 Suppose 15*u - 7*u - 336 = 0. Let b(g) = -88 + u - 3*g + 46. Let a(n) = -3*n. Let h(j) = -2*j. Let f(l) = 4*a(l) - 5*h(l). Calculate b(f(z)). 6*z Let z(u) be the second derivative of u**3/2 - 118*u. Let o(l) = 6*l + 6. Calculate o(z(k)). 18*k + 6 Let l(v) = -2*v**2. Let g = -53 + 63. Let s(x) = 0*x - x - g*x + 6*x. Give s(l(r)). 10*r**2 Let l(q) = 44*q + 4. Let g(j) = -604*j. What is l(g(c))? -26576*c + 4 Let c(x) = 20*x**2 - 1. Let k(y) = -45130*y. Give k(c(s)). -902600*s**2 + 45130 Let d(y) = -2956*y. Let a(o) = 32*o. Calculate d(a(g)). -94592*g Let v(d) = 29*d. Let q(o) = -3*o**2 - 24*o + 22*o + 2*o. Give v(q(s)). -87*s**2 Let i(h) = -2*h. Let k(s) be the second derivative of s**3/2 - 5*s**2/2 - 15*s. Let d(r) = -4*r + 6. Let y(x) = -5*d(x) - 6*k(x). What is y(i(n))? -4*n Let q(c) be the first derivative of c**3/3 + 3*c + 1. Let p(u) be the first derivative of q(u). Let g(m) = -2 - 43*m**2 - 6 + 8 + 50*m**2. Determine g(p(d)). 28*d**2 Let b(i) = i**2 - 1. Let k(f) = -18*f**2 + 15. Let w(s) = -15*b(s) - k(s). Let h(n) = 21*n**2 - 35 + 35 + 20*n**2 - 42*n**2. What is w(h(t))? 3*t**4 Let m(s) = -192*s + 2. Let w(a) = -4*a - 1787. Determine w(m(j)). 768*j - 1795 Let h(l) = l. Let u(g) be the first derivative of -110*g**3/3 + 26. Calculate u(h(z)). -110*z**2 Let l(z) = 0*z**2 - 18*z + 18*z - 2*z**2. Let s(d) = 36*d. Calculate l(s(i)). -2592*i**2 Let c(p) = -12*p**2. Let w(m) = 25600*m. What is w(c(s))? -307200*s**2 Let r(l) = l**2 - 13. Let s(w) = 58*w**2 + 130. Let a(k) = -10*r(k) - s(k). Let z(p) = 2*p**2. What is a(z(h))? -272*h**4 Let i(z) = -2*z. Let r(q) = 5*q - 2423 + 2423. Give i(r(o)). -10*o Let s(b) = -98*b**2. Let p(w) = 4*w + 9*w + 11*w + 5*w - 32*w. Determine s(p(h)). -882*h**2 Let a(o) = -o. Let c(t) = 99*t + 7*t - 27*t + 92*t. Determine c(a(g)). -171*g Let d(r) = 78784*r**2. Let u(s) = 2*s. Give u(d(w)). 157568*w**2 Let s(l) = l**2 - l. Let i(v) = 1. Let x(f) = 3*f**2 - 2*f + 3. Let o(n) = 3*i(n) - x(n). Let q(j) = -o(j) - 2*s(j). Let k(c) = 6*c**2. Give k(q(t)). 6*t**4 Let r(j) = -204848*j. Let d(m) = 2*m**2. Determine r(d(w)). -409696*w**2 Let c(d) be the third derivative of d**5/5 - 2*d**2 - 7. Let a(h) = -9*h. What is a(c(j))? -108*j**2 Let d(r) = -r**2. Let u(n) = -1728*n**2 - 14*n - 3. Let m(y) = -576*y**2 - 4*y - 1. Let b(i) = 7*m(i) - 2*u(i). Give b(d(x)). -576*x**4 - 1 Let o(k) = -k - 5. Let a(w) = -13*w - 45. Let t(q) = -4*a(q) + 36*o(q). Let p(u) = 8*u**2. Give t(p(x)). 128*x**2 Let a(k) = 8*k. Let i(d) = -14*d**2 - d - 93. Calculate i(a(p)). -896*p**2 - 8*p - 93 Let s(n) = 37*n**2 + 20742*n - 20742*n. Let c(z) = 2*z. What is c(s(d))? 74*d**2 Let d(u) = u. Let x(m) = -6 + 6 - 3*m. Let j be -3 - (-3 - (-4)/2). Let k(l) = -l. Let r(i) = j*k(i) + x(i). What is d(r(h))? -h Let c(f) = 5825*f. Let l(u) = -185*u**2 + 2. What is c(l(k))? -1077625*k**2 + 11650 Let n(s) = -9*s - 3*s + 4*s - 5*s. Let c(o) = -72*o. Let w(q) = -5*c(q) + 27*n(q). Let d(g) = -6*g. Determine d(w(x)). -54*x Let w(a) be the third derivative of -2*a**5/5 + a**3/3 - 19*a**2. Let n(b) = 7*b**2. What is n(w(q))? 4032*q**4 - 672*q**2 + 28 Let f(k) = -5*k**2. Let j = -43 - -55. Let z(m) = 14 - 17 + 3 - j*m. Calculate z(f(r)). 60*r**2 Let o(g) = -3 - g + 3. Let z(h) be the second derivative of -5/6*h**3 - 16*h + 0 + 0*h**2. Determine z(o(v)). 5*v Let i(k) = 3 - 3 - 154*k + 156*k. Let w(l) = 245*l**2 + 9. Let g(v) = -61*v**2 - 2. Let s(a) = -9*g(a) - 2*w(a). Determine i(s(x)). 118*x**2 Let w(a) be the first derivative of 7*a**2/2 + 267. Let u(f) = 8*f + 5. Calculate u(w(r)). 56*r + 5 Let a(b) = b**2. Let n(d) be the third derivative of -d**5/30 + 7*d**4/24 + 328*d**2 + 2. What is n(a(k))? -2*k**4 + 7*k**2 Let k(t) = -t + 14. Let m be k(12). Let i(u) = 4*u**2 - 6*u**m + 5*u**2. Let c(z) = -z + 6*z + 0*z - 2*z. Give i(c(p)). 27*p**2 Let l(i) = -3*i**2 - 7*i. Let u(c) = 2*c**2 + 5*c. Let p(n) = 5*l(n) + 7*u(n). Let r(z) = 189*z**2. What is p(r(j))? -35721*j**4 Let i(h) = -2*h. Let d(g) = -88*g + 3. Let y(n) = 266*n - 8. Let f(w) = -11*d(w) - 4*y(w). Give f(i(k)). 192*k - 1 Let t(m) = -363*m**2. Let i(o) = 17*o**2. Give i(t(a)). 2240073*a**4 Let h(z) = 7*z - 7. Let s(y) be the second derivative of y**3/6 - 345*y. What is s(h(m))? 7*m - 7 Let l(g) = 511315*g. Let n(c) = -c. Give l(n(k)). -511315*k Let a(j) = -24417*j**2. Let w(i) = -2*i**2. Determine a(w(x)). -97668*x**4 Let j(a) = a. Let q(z) = -z. L
{ "pile_set_name": "DM Mathematics" }
, 48, 72, 96, 120? 144 What comes next: 32, 36, 42, 50, 60, 72, 86? 102 What is next in -10, 2, 40, 116, 242, 430, 692? 1040 What is next in 1063, 1062, 1061, 1060, 1059? 1058 What comes next: -7019, -7021, -7023, -7025? -7027 What comes next: -19, -39, -67, -103? -147 What comes next: -527, -1054, -1581, -2108, -2635, -3162? -3689 What is the next term in -122, -257, -396, -539, -686, -837, -992? -1151 What is the next term in 41, 174, 395, 704? 1101 What comes next: 31, 11, -53, -185, -409? -749 What is the next term in -356, -341, -326, -311, -296, -281? -266 What is the next term in -205, -206, -207, -208? -209 What is the next term in -2165, -2174, -2193, -2228, -2285, -2370? -2489 What is the next term in 3, 11, 19, 27? 35 What comes next: 12, 17, 22, 27? 32 What is next in 992, 1004, 1040, 1112, 1232, 1412? 1664 What is next in -157, -621, -1393, -2473, -3861? -5557 What is next in 36, 90, 146, 204, 264, 326, 390? 456 What is next in 1834, 1831, 1828, 1825, 1822? 1819 What is next in -35, -41, -49, -59, -71, -85? -101 What is next in 1576, 1573, 1570, 1567? 1564 What comes next: -143, -172, -199, -224? -247 What is the next term in -10686, -10675, -10650, -10605, -10534, -10431? -10290 What is next in -1067, -1072, -1087, -1118, -1171, -1252, -1367, -1522? -1723 What is the next term in 151, 146, 139, 130, 119? 106 What is the next term in 28, 12, -18, -68, -144? -252 What is the next term in -723, -721, -717, -711, -703, -693? -681 What is next in -85, -365, -833, -1489, -2333, -3365? -4585 What is the next term in 896, 879, 862, 845? 828 What is next in -39, -47, -55, -63? -71 What is the next term in 65, 86, 61, -10, -127, -290? -499 What is next in 21, 28, 37, 48, 61, 76? 93 What is next in -485, -973, -1461, -1949, -2437? -2925 What is next in 127, 201, 275, 349? 423 What comes next: -276, -282, -300, -336, -396, -486? -612 What is next in -58, -13, 70, 197, 374, 607, 902, 1265? 1702 What is the next term in -76, -249, -542, -961, -1512? -2201 What is the next term in -42, -41, -42, -45? -50 What is the next term in -3, -3, 3, 21, 57, 117, 207? 333 What is next in -17, -54, -107, -170, -237, -302, -359, -402? -425 What comes next: 88, 310, 682, 1210, 1900, 2758, 3790? 5002 What is next in -138, -150, -160, -162, -150? -118 What is next in -737, -738, -739, -740, -741? -742 What is the next term in 63, 137, 197, 237, 251, 233, 177, 77? -73 What is next in -195, -194, -181, -150, -95, -10, 111? 274 What is next in 8, 22, 30, 20, -20, -102, -238? -440 What comes next: 270, 272, 278, 288, 302, 320? 342 What is next in -140, -65, 140, 541, 1204, 2195? 3580 What is next in -311, -614, -907, -1190, -1463? -1726 What comes next: 19, 28, 49, 88, 151, 244, 373, 544? 763 What comes next: -25, -210, -509, -916, -1425, -2030? -2725 What is next in 995, 996, 997, 998, 999? 1000 What is the next term in 43, 88, 133, 178, 223? 268 What is the next term in -170, -162, -152, -140? -126 What is the next term in -57, -257, -591, -1059? -1661 What is the next term in 173, 338, 493, 632, 749, 838, 893? 908 What is the next term in 8, 64, 166, 314? 508 What is the next term in -12, -34, -56? -78 What is the next term in 6, 57, 134, 231, 342? 461 What is the next term in -234, -994, -2278, -4092, -6442, -9334, -12774, -16768? -21322 What is next in 49, 58, 71, 88, 109, 134? 163 What is next in 509, 1016, 1525, 2036? 2549 What comes next: 235, 927, 2087, 3721, 5835, 8435, 11527, 15117? 19211 What comes next: -1, -4, -3, 8, 35, 84, 161? 272 What comes next: -38, -45, -52, -59, -66? -73 What is next in -315, -317, -309, -285, -239, -165? -57 What is the next term in -31, -26, -23, -28, -47, -86, -151? -248 What is next in -19, -46, -73, -100? -127 What is next in -32, -57, -92, -137, -192, -257, -332? -417 What is the next term in -900, -900, -902, -906? -912 What is the next term in -131, -120, -107, -92, -75? -56 What is the next term in 775, 758, 743, 730? 719 What is the next term in -4, -28, -60, -100, -148? -204 What is next in -22, -45, -82, -133, -198, -277, -370? -477 What comes next: -151, -237, -337, -457, -603, -781, -997, -1257? -1567 What is next in 836, 1675, 2516, 3359, 4204? 5051 What comes next: 98, 193, 276, 341, 382? 393 What is next in 416, 415, 414, 413? 412 What is the next term in 5, 172, 625, 1508, 2965, 5140, 8177, 12220? 17413 What is the next term in -213, -427, -641, -855, -1069? -1283 What is the next term in 226, 224, 220, 214, 206? 196 What is the next term in -29, -74, -143, -230, -329, -434? -539 What is next in -1065, -1066, -1067, -1068, -1069, -1070? -1071 What comes next: 630, 631, 632? 633 What is the next term in -6, -7, -18, -45, -94, -171, -282? -433 What is next in 90, 181, 270, 357? 442 What is the next term in -6, -13, -10, 9, 50, 119, 222, 365? 554 What is next in -254, -252, -250, -248, -246, -244? -242 What comes next: -656, -837, -1146, -1589, -2172, -2901? -3782 What is the next term in -1080, -1103, -1116, -1113, -1088? -1035 What is the next term in -145, -275, -415, -571, -749? -955 What is the next term in -215, -910, -2069, -3692, -5779, -8330? -11345 What is the next term in -304, -612, -920, -1228, -1536? -1844 What comes next: 14, 32, 56, 86, 122, 164, 212? 266 What comes next: 6012, 12024, 18034, 24042? 30048 What is the next term in -69, -54, -37, -18, 3? 26 What is the next term in 9, 29, 77, 165, 305, 509? 789 What is the next term in -68, -83, -122, -197, -320, -503, -758? -1097 What is next in 27547, 27545, 27541, 27535? 27527 What is the next term in 99, 177, 249, 315? 375 What is the next term in 1213, 1211, 1207, 1201, 1193, 1183, 1171? 1157 What is next in 39, 93, 161, 249, 363? 509 What comes next: -226, -482, -738? -994 What is the next term in 533, 1067, 1599, 2129? 2657 What is the next term in -66, -118, -170, -222, -274, -326? -378 What is next in 28, 45, 72, 115, 180, 273? 400 What is the next term in -2031, -2031, -2025, -2007, -1971, -1911? -1821 What is the next term in 7, 14, -11, -98, -277, -578, -1031? -1666 What comes next: -793, -3117, -6983, -12385, -19317, -27773, -37747? -49233 What is next in -194, -201, -212, -227, -246, -269, -296? -327 What comes next: 140, 141, 142, 143, 144? 145 What is next in 172, 411, 650? 889 What comes next: 97, 199, 305, 415? 529 What is the next term in 14, 175, 624, 1505, 2962, 5139? 8180 What comes next: -3302, -6604, -9904, -13202, -16498? -19792 What is the next term in 167, 158, 149, 140, 131? 122 What is next in -1114, -4446, -10000, -17776? -27774 What comes next: 11, 31, 63, 107, 163? 231 What is next in 29, 22, 1, -40, -107? -206 What comes next: 6, -6, -18, -30? -42 What comes next: -427, -847, -1263, -1675, -2083, -2487? -2887 What is the next term in -5, -16, -39, -80, -145, -240, -371? -544 What is next in -9373, -9374, -9375, -9376, -9377? -9378 What is the next term in -9613, -9611, -9609, -9607, -9605? -9603 What is the next term in 8, 12, 26, 56, 108, 188, 302? 456 What comes next: -224, -895, -2016, -3587, -5608, -8079, -11000? -14371 What comes next: -508, -500, -486, -466, -440? -408 What is next in -612, -1221, -1840, -2475, -3132, -3817, -4536, -5295? -6100 What comes next: -93, -88, -69, -30, 35, 132? 267 What is the next term in -4363, -4358, -4349, -4336, -4319, -4298, -4273? -4244 What comes next: 42, 45, 50, 57, 66? 77 What comes next: 797, 802, 817, 848, 901, 982? 1097 What comes next: 76, 92, 108, 124, 140, 156? 172 What is the next term in -1476, -1474, -1456, -1416, -1348? -1246 What is the next term in -2, -10, -26, -50, -82? -122 What comes next: -80, -158, -236, -314? -392 What comes next: 17, 49, 91, 143, 205, 277, 359? 451 What comes next: 12408, 24814, 37218, 49620? 62020 What comes next: 0, -19, -64, -147, -280? -475 What is next in -50, -90, -128, -164, -198? -230 What is the next term in -20, -27, -34? -41 What is the next term in -1309, -1308, -1307? -1306 What comes next: -15, -13, -11, -9? -7 What is the next term in 6, -38, -112, -216, -350, -514? -708 What is the next term in -148, -140, -128, -112, -92, -68? -40 What is the next term in 8, 0, -4, 2, 24, 68, 140, 246? 392 What is the next term in -1560, -1561, -1562, -1563? -1564 What comes next: -722, -722, -724, -728, -734, -742? -752 What is
{ "pile_set_name": "DM Mathematics" }
allest common multiple of 5 + r + (2 - 0) and 4? 12 Find the common denominator of 6/(-21) - (-2775)/378 and -49/2. 18 Let h(c) = -c**3 + 8*c**2 - 7*c + 2. What is the least common multiple of 4 and h(7)? 4 Let h(t) = -t**3 - 3*t**2 - 3*t - 2. What is the least common multiple of 25 and h(-3)? 175 Let w(c) be the second derivative of -c**4 + c**3/6 + 7*c**2/2 - 2*c. Let g be w(7). Calculate the common denominator of (-1)/(-3) - g/(-48) and 65/2. 8 Let g = 10 - 6. Suppose 2*j = -0*j + g. Suppose 8 = j*v - 0. What is the smallest common multiple of v and 2? 4 Let w = 12 - 6. Let k be 6/(-42) - (-1)/7. Let o = w + k. Calculate the smallest common multiple of 16 and o. 48 Let z(u) = 2*u. Let h be (9/(-12))/(1/(-8)). What is the least common multiple of 12 and z(h)? 12 Suppose -5*l + 15 = 0, -3*l + 115 = -3*f - 104. Let h be -3 + 0 - f - 1. Let u = h - 452/7. Calculate the common denominator of u and -47. 7 Let z(c) = c**3 - c**2 + 5. Suppose -4*s - 4 = -5*s. Suppose 4 = -4*n - 0*n + s*o, -4*o = -2*n - 4. Calculate the smallest common multiple of z(n) and 3. 15 Let z = 495 - 322. Calculate the common denominator of 29/4 and 4/(-16) - z/(-12). 12 Let s = 39632/3 + -557575/42. Let o = s + 262/7. Let b = -1695 + 13577/8. Calculate the common denominator of o and b. 8 Suppose p + v = 12, -p + 3*p + 4*v - 30 = 0. Let n be 2 + (-3)/p*0. What is the least common multiple of 7 and ((-40)/32)/(n/(-8))? 35 Let q(p) = -7 + 12*p**2 - 10*p - p**3 + 2*p**2 - 2*p**2. What is the lowest common multiple of q(11) and 8? 8 Let n = 4/193 - 2521/579. What is the common denominator of 23 and n? 3 Let b = -117 - -939/8. Find the common denominator of 9/14 and b. 56 Let h = 12 + -3. Let m(y) = -y**2 + 17*y - 12. Let t be m(9). Calculate the smallest common multiple of h and t/(-9)*3/(-2). 90 Let k(j) = j**3 + 5*j**2 + 7*j + 4. Calculate the lowest common multiple of k(-3) and 12. 12 Suppose 0 = -j + 1 + 4. Suppose -5*o + 4 = -3*o. Suppose 6 = 3*h + 3*s, -o*s = -h + 3 + 11. Calculate the lowest common multiple of j and h. 30 Let c = 877/16 + -1035/16. Calculate the common denominator of c and 47/6. 24 Suppose -3*d + m = -20, -4*d + 5*m + 16 = -d. What is the lowest common multiple of d and 10? 70 Suppose -r + 2 = -1. What is the common denominator of r/((-4)/((-56)/10)) and -50/9? 45 Let m = -2/235 + -2967/10340. Find the common denominator of -97/40 and m. 440 Let h = -320476/3 + 1330333/12. Let q = h - 4056. Find the common denominator of q and -5/2. 4 Let b(f) = f**3 - 24*f**2 + 22*f + 45. What is the least common multiple of 12 and b(23)? 132 Let s = 139017 + -2362569/17. Let x be 29/34 + -4 - -4. Let d = x - s. Calculate the common denominator of d and -91/10. 10 Let k(s) = -22*s**2 + 2*s - 3. Let t be k(-3). Let l = -5083/1240 + -4/155. Find the common denominator of t/(-84)*2/(-3) and l. 56 Let n(x) = 8*x**2 - 3*x. Let t be n(2). What is the common denominator of -45/4 and (-6 + 5)*(-108)/t? 52 Let g = -1721157/28 - -61478. Let h = 52099/14 + -7397/2. Let n = h - g. Find the common denominator of n and 26. 4 Let h = 13 + -9. Suppose -75 = -5*b + y, -3*b - 5*y + 73 = -0*b. What is the least common multiple of -16*(15/h)/(-3) and b? 80 Let i = 9616 + -172949/18. What is the common denominator of 5/12 and i? 36 Suppose -20 = 3*y + y. Suppose 0 = -i + 7 + 1. Let c = y + i. What is the lowest common multiple of 4 and c? 12 Suppose -8 = 7*z - 22. What is the lowest common multiple of 28 and z? 28 Let m = -6829 - -54533/8. Calculate the common denominator of m and 27/2. 8 Suppose -2*v - 3*a = 3*v - 15, 3*a = -2*v + 6. What is the least common multiple of 1 and v? 3 What is the lowest common multiple of 6/24 - (-3)/4 and 11? 11 Suppose h + s - 5 = 0, -1 = -3*h - 4*s + 15. What is the least common multiple of 12 and h? 12 Find the common denominator of -93/2 and (-2)/8*(-900)/(-54). 6 Let z = -10 - -12. Calculate the lowest common multiple of 2 and z. 2 Suppose 0*n = -4*n + 88. Suppose 2*y - l + 51 + 4 = 0, l + 1 = 0. What is the least common multiple of (-8)/y + 68/7 and n? 110 Suppose -2*r - 2*r + j - 149 = 0, 2*j = -4*r - 158. Suppose -3*y = -2*l + 5*l + 96, 4*l = y - 108. Find the common denominator of r and (-35)/20*l/(-6). 6 Calculate the lowest common multiple of -3 + -2 + 6 + 11 and 8. 24 What is the common denominator of 14/160*(-74 + 6)/2 and -103/36? 360 Let k(j) = -5*j + 11. Let a(o) = 3*o - 5. Let i(m) = 7*a(m) + 4*k(m). Let y be 66/(-9) - (-18)/(-27). What is the smallest common multiple of i(y) and 2? 2 Let t(b) = b**3 + 1. Let r be t(0). Suppose 0 = -i + r. Calculate the least common multiple of i and 9. 9 Calculate the smallest common multiple of -14*2/(2 - 4) and 28/(-63) + (-348)/(-54). 42 Suppose -2*f + 0*f - r = -65, -r - 100 = -3*f. Let t = f - 17. Calculate the smallest common multiple of t and 4. 16 Let l be 980/(-5)*(-33)/(-8). Let v = l + 775. Calculate the common denominator of (9/(-6))/((-6)/5) and v. 4 Let x = 15 + -8. What is the lowest common multiple of 6 + 9/(6/2) and x? 63 Let s(c) = c**3 + c**2 - 3*c + 2. What is the least common multiple of 43/2 - 3/(-6) and s(-2)? 44 Let b be 956/14 - (-16)/(-56). Calculate the common denominator of b/(4 + -2 - 5) and -81/4. 12 Let k be 30/1765*(-20)/(-6). Let s = 4949/6354 - k. Calculate the common denominator of -33/2 and s. 18 Suppose -m + 11 = x, 0 = -x + 6*x - 2*m - 76. Calculate the smallest common multiple of x and 14. 14 Suppose 0 = u + u - 4. Suppose -5*z - u + 27 = 0. Suppose 4*q - 87 + 5 = -z*m, -4 = 2*q. What is the lowest common multiple of 6 and m? 18 Let p = 2 + -4. What is the least common multiple of 2*3*(-1)/p and 3? 3 Let i = -21 - -29. What is the least common multiple of i and 18? 72 Let y = 8575861/439 + -19535. Let n = -38201/878 - y. Find the common denominator of -17/3 and n. 6 Let k be (-9)/(-21) - 26020/35. Suppose r - 36 = 3*h, -44 = -5*r - 5*h + 116. Find the common denominator of 50/9 and k/r - (-6)/33. 9 Suppose -2*n = -6*n + 76. Suppose -2*c - 7 = -r, 3*r - 5*c - n = -0*c. What is the least common multiple of r and 8? 24 What is the least common multiple of (-1)/(-1 + (-1 - -4))*-16 and 20? 40 Suppose -4*w + 6 = -5*s, 3*s - 1 + 11 = -4*w. What is the common denominator of -15 and (-1 - (-98)/12) + w? 6 Suppose 1 = 4*l + 5*q, -4*q - 23 = -2*l + q. Suppose -u = -3*x + l*u - 4, 3*u = 15. Let g = -1 + 3. Calculate the smallest common multiple of g and x. 14 Suppose 4*d - 21 = 3. Let w(m) be the third derivative of m**4/24 + 2*m**2. Calculate the smallest common multiple of d and w(4). 12 Let c = -106/15 + 25072/105. Let m = -231 + c. What is the common denominator of m and (-4)/14 - (-202)/(-126)? 63 What is the common denominator of 22/3 and 4 + ((-172)/28 - 2)? 21 Let z = 30 - -24. Calculate the common denominator of (-255)/z*8/(-10) and 20/7. 63 Suppose -30 = 4*u - 3*u. Calculate the common denominator of 16/40 + 377/u and 13/14. 42 Let u = -2252 + 20293/9. Let c be 5*(-12)/15*47. What is the common denominator of u and (-2)/(-3) - c/(-36)? 9 Let t = -2357 - -21236/9. Calculate the common denominator of -67/24 and t. 72 Let h(p) = 5*p**2 - 1. Calculate the lowest common multiple of h(1) and 10. 20 Suppose 4*b + 3 = 3*b, 4*u + 3*b + 9 = 0. Find the common denominator of -2 - u - 260/12 and -61/6. 6 Suppose 0 = -h - 4*s - 15, -9 = -3*h + 5*s + 14. What is the least common multiple of 8 and h? 8 Let q be (-627)/(-24) - (1 + -1). Let l = -1221/40 + q. What is the common denominator of -11/10 and l? 10 Suppose -5 - 4 = -3*s. Find the common denominator of (s/(-18))/((-2)/261) and 1/7. 28 Let s be (11 + -7)*(-7970)/8. Let f = s - -23771/6. Find the common denominator of 11/8 and f. 24 Let w = -6 - -13. Let j(q) = -q**3 - q + 21. Let z be j(0). Suppose -5*t = b - 21, b + t = 5*b - z. Calculate the lowest common multiple of b and w. 42 Let d = 383/2 - 186. What is the common denominator of 106/(-2)*(-4 + 45/10) and d? 2 Calculate the common denominator of 41/14 and 4 + 86*(-6)/80. 140 Calculate the least common multiple of 6 and 8 - (6 - 12/3). 6 Suppose -4*f + 16 = -0*f. Suppose o - f*o = -33. Calculate the lowest common multiple of 3 and o. 33 Suppose -20 = -7*v + 2*v. Calculate the least common multiple of 18 and v. 36 Suppose -5*u + 455 = 5*r, -3*u - 2*r - 3*r = -279. Suppo
{ "pile_set_name": "DM Mathematics" }
*d(z) + 4*r(z)? -733*z Let m(g) be the first derivative of 2*g**3/3 + 7*g**2/2 + 136. Let y(i) = 2*i**2 + 6*i. Calculate 2*m(b) - 3*y(b). -2*b**2 - 4*b Suppose w + w = 32. Let x be (-4)/w - 10/(-8). Suppose -z + 4*z = 18. Let h(m) = -5*m + 8. Let l(g) = g - 1. Give x*h(a) + z*l(a). a + 2 Let i(y) = 4*y**3 - 3*y + 8. Let p(n) = -n**2 - 12*n - 5. Let o be p(-12). Let k(g) = -3*g**3 + 2*g - 7. Give o*i(z) - 6*k(z). -2*z**3 + 3*z + 2 Let v(w) = w**2 + w - 1. Let s(j) = j**3 + 2*j**2 + 3*j - 5. Suppose -5*x = -0*x - 120. Let y = 18 - x. Let b = 3 + y. Give b*v(t) + s(t). t**3 - t**2 - 2 Let l(z) = z. Let s(c) = -8*c + 6. Let f = 393 + -387. Give f*l(q) + s(q). -2*q + 6 Let s(v) = -28 + 4*v**2 - 5*v**2 - 24 + 6*v + 54 - 3*v. Let i = -9 - -12. Let y(l) = -3*l**2 + 8*l + 5. Determine i*y(a) - 8*s(a). -a**2 - 1 Let h(c) = 1236*c - 1223*c + 8 - 2. Let f(d) = -12*d - 5. Determine 6*f(k) + 5*h(k). -7*k Let h(v) = 6*v - 3. Let k(y) = -y + 1. Let f(c) = h(c) + 2*k(c). Let p(u) = 72*u + 2379. Let r be p(-33). Let s(x) = -5*x. Give r*s(q) + 4*f(q). q - 4 Let v(i) = 1744*i + 96. Let p(n) = -159*n - 9. Let l(c) = 32*p(c) + 3*v(c). Let q(b) = 41*b. What is 5*l(a) - 18*q(a)? -18*a Let t(i) = -20*i**3 - 13*i**2 - 6. Let b(r) = 20*r**3 + 14*r**2 + 9. Determine -2*b(o) - 3*t(o). 20*o**3 + 11*o**2 Let z(v) be the third derivative of v**4/6 + 3*v**2. Let g(j) be the third derivative of -13*j**4/24 + 50*j**2. Determine 2*g(f) + 7*z(f). 2*f Let a(w) = 2*w**3 - w**2 - 178*w. Let k(f) = -4*f**3 + 2*f**2 + 357*f - 1. Determine -5*a(x) - 2*k(x). -2*x**3 + x**2 + 176*x + 2 Let k(x) = -x**2 + 7. Let v be k(-5). Let g(j) = -j**2 + j. Let u(b) = -10*b**2 + 10*b + 1. Give v*g(a) + 2*u(a). -2*a**2 + 2*a + 2 Let y(v) = -v**3 - 23*v**2 - 21*v + 24. Let f be y(-22). Let u(a) = 9*a**3 + 2*a. Let i(n) = 37*n**3 - n**2 + 8*n. Give f*i(z) - 9*u(z). -7*z**3 - 2*z**2 - 2*z Let j(x) = -22*x + 4. Let k(d) = -2*d. Calculate -j(q) + 6*k(q). 10*q - 4 Let r(i) = -21*i**2 - 2*i + 7. Let y(f) = 25*f**2 + 3*f - 8. Determine 3*r(l) + 2*y(l). -13*l**2 + 5 Let g(l) = l**3 - 57. Let b(p) = -6*p**3 + 341. What is -2*b(k) - 13*g(k)? -k**3 + 59 Let c(f) = -14*f**3 + 2*f**2 - 2*f - 2. Let l be (8/92 + 0)*23. Let t(d) = -d**2 + d + 1. Determine l*t(a) + c(a). -14*a**3 Let x(o) = 15*o - 8. Let t(h) = -27*h + 17. Give 6*t(w) + 11*x(w). 3*w + 14 Let y(w) = -9*w + 2. Let i be ((-7)/2)/(24/48). Let t(s) = 19*s - 4. Determine i*y(m) - 3*t(m). 6*m - 2 Suppose 226 = -67*g - 176. Let m(s) = s**2 - s + 1. Let d(k) = -2*k**2 - 4*k + 6. Determine g*m(c) + d(c). -8*c**2 + 2*c Let m(x) = -4*x**3 + 2*x**2 + 8. Suppose -2*a - 5*v + 29 = 0, -41 = 5*a - v - 46. Let n(o) = 2*o**3 - o**2 - 4. What is a*m(u) + 5*n(u)? 2*u**3 - u**2 - 4 Let j(t) = t**3 - 2*t**2 - 1. Let s(u) = 14*u**2 + 6. Give -6*j(p) - s(p). -6*p**3 - 2*p**2 Let s(b) = 3*b**3 - 8*b**2 + 3*b + 9. Let t(a) = 5*a**3 - 12*a**2 + 5*a + 13. Determine -7*s(d) + 5*t(d). 4*d**3 - 4*d**2 + 4*d + 2 Let y(c) be the first derivative of -8*c**3/3 - 2*c**2 + 89. Let i(u) = -33*u**2 - 15*u. Calculate 4*i(v) - 15*y(v). -12*v**2 Let d(b) = b - 1. Let z(s) = 4*s + 10. Give 2*d(c) - z(c). -2*c - 12 Let k(c) = -58*c**2 + 2. Let u(d) = 2*d**2 + d + 1. Calculate -k(x) + 3*u(x). 64*x**2 + 3*x + 1 Let m(t) = 178*t**3 - 6*t**2 - 3*t - 12. Let j(d) = 60*d**3 - 2*d**2 - d - 4. Give 7*j(h) - 2*m(h). 64*h**3 - 2*h**2 - h - 4 Let y(l) = -7*l - 4. Let j(z) = 2*z. Calculate 2*j(x) + y(x). -3*x - 4 Let v(h) = 10*h - 5. Let l(b) = 9*b - 7. Give 2*l(s) - 3*v(s). -12*s + 1 Let o be 45/(-27)*24/(-10). Let u(d) = -6*d**2 - 2*d - 4. Let y(p) be the third derivative of -p**5/60 - p**3/6 - 2*p**2. Calculate o*y(x) - u(x). 2*x**2 + 2*x Let f(h) = -8*h**3 + 7*h + 22. Let x(c) = -7*c**3 + 6*c + 22. What is 6*f(k) - 7*x(k)? k**3 - 22 Let v(o) = 120*o**2 + 35*o - 35. Let u = 725 + -690. Let i(g) = 10*g**2 + 3*g - 3. Calculate u*i(r) - 3*v(r). -10*r**2 Suppose 136*s = 142*s + 24. Let p(o) = o - 1. Let d(h) = 5*h**3 + 4*h - 3. Determine s*p(w) + d(w). 5*w**3 + 1 Let g(c) = -736*c - 18. Let s(q) = -1258561*q - 30786. Give -5131*g(l) + 3*s(l). 733*l Let s(y) = -9*y - 41. Let a(t) = 10*t + 39. Let w(m) = -6*a(m) - 5*s(m). Let o(j) = 7*j + 14. Determine 13*o(d) + 6*w(d). d + 8 Let r(l) = 6*l - 16. Let x(v) = -95*v + 193. Let d be x(2). Let z(p) be the first derivative of -1/2*p**2 + d*p - 6. What is -3*r(o) - 16*z(o)? -2*o Let k(h) = -2*h - 3. Let b(f) = -12*f + 3. Let v(o) = 10*o - 2. Let c(n) = -4*b(n) - 5*v(n). What is -2*c(j) + 3*k(j)? -2*j - 5 Suppose 108*z - 102*z - 156 = 0. Let i(x) be the third derivative of 0 + 0*x + 1/6*x**4 + 3*x**2 - 2/3*x**3. Let w(n) = 17*n - 17. Calculate z*i(t) - 6*w(t). 2*t - 2 Suppose 40 = 2*i - 26. Let j(p) = -57*p. Let d(k) = -k**2 + 4. Let y be 0*(-2 - 9/(-6)). Let l be d(y). Let a(h) = 7*h. Determine i*a(m) + l*j(m). 3*m Let k(z) = 2*z**2 + 2*z + 2. Let i(p) = -4 + 0 + 9*p + 0 + p**2 - 7*p. Let t(m) = -m**2 - 2*m + 3. Let r(c) = 4*i(c) + 5*t(c). Calculate -2*k(w) - 3*r(w). -w**2 + 2*w - 1 Let n be -4*2/(-16) - (-133)/2. Let b be ((-50)/65)/5 - n/(-13). Let j(c) = 4*c**3 - 5. Let i(t) = 3*t**3 - 4. What is b*i(p) - 4*j(p)? -p**3 Let x(w) = -14*w**2 - 9 - 6*w - 13*w**2 - 12*w**2 + 34*w**2. Let y(u) = -4*u**2 - 5*u - 8. Calculate -6*x(r) + 7*y(r). 2*r**2 + r - 2 Let q(t) = 2*t - 165. Let w(u) = -4*u + 330. Give -7*q(i) - 4*w(i). 2*i - 165 Let z(o) = 51*o - 105. Let b(s) = 13*s - 26. Determine 15*b(t) - 4*z(t). -9*t + 30 Let g(j) = -14*j - 29. Let b(u) = -u + 7. Let r be b(5). Let z be (3/r)/((-90)/(-1020)). Let k(a) = 5*a + 10. Give z*k(q) + 6*g(q). q - 4 Suppose -7 = z + s - 6*s, 4*z - 5*s + 43 = 0. Let x = 14 + z. Let k(n) = n**2 - 4*n - 1. Let l(f) = 3*f**2 - 9*f - 3. Give x*l(w) - 5*k(w). w**2 + 2*w - 1 Let q(c) = 13*c - 9. Let p(x) = -28*x + 20. Give -4*p(j) - 9*q(j). -5*j + 1 Let x(p) = -p**2 + p - 3. Let z(w) = -10*w**2 + 2*w - 30. Determine 5*x(t) - z(t). 5*t**2 + 3*t + 15 Let v(k) = k**2 - k + 1. Let o(z) = 3*z**2 + 15*z. Give -o(d) - 2*v(d). -5*d**2 - 13*d - 2 Suppose 4*n + 9 = 1. Let m(g) = g + 5. Let i(q) be the second derivative of -q**3/3 - 3*q**2 + 41*q. Give n*i(t) - 3*m(t). t - 3 Let j(o) = -27*o + 509. Let w(y) = -5*y + 102. What is -2*j(z) + 11*w(z)? -z + 104 Let z(d) = -3*d**3 + 4*d**2 - 15*d + 2. Let o(w) = 2*w**2 - w + 1. Calculate -2*o(a) + z(a). -3*a**3 - 13*a Let p(v) = -2*v - 1. Let t(z) = -18*z + 7. What is -2*p(y) + t(y)? -14*y + 9 Suppose 10 = 13*r - 3*r. Let b be r*3*4/(-12). Let z(o) = o - 1. Let v be 2/1*2/(-4). Let c(a) = 3. Give b*c(k) + v*z(k). -k - 2 Let w(y) = -29980*y**2 + 1020*y + 170. Let q(m) = 526*m**2 - 18*m - 3. Determine 340*q(u) + 6*w(u). -1040*u**2 Let o(r) = 3*r**3 + 37*r**2 - 2*r - 23. Let d(k) = -2*k**3 - 18*k**2 + k + 12. Calculate 7*d(t) + 4*o(t). -2*t**3 + 22*t**2 - t - 8 Let q(j) = 2*j - 19. Let r be q(11). Let o be (-30)/(-3)*3 + r. Let y be 6/(-10) - 92/(-20). Let c(m) = 24*m - 33. Let k(h) = -3*h + 4. Give o*k(x) + y*c(x). -3*x Let o(c) = c + 1. Let k(j) = -3*j - 4. Suppose -p - 3*g = -9 - 1, -33 = -4*p - 5*g. What is p*o(t) + 2*k(t)? t - 1 Let a(w) = w + 3. Let p(l) = -l - 1. Let r(d) = -4*a(d) - 9*p(d). Let o be (4 - -2) + 4 + -20. Let h(v) = 16*v - 10. What is o*r(z) + 3*h(z)? -2*z Let j(f) = 235*f**3 - 4*f**2 - 2*f + 4. Let p(c) = 235*c**3 - 5*c**2 - 2*c + 5. Determine 5*j(t) - 4*p(t). 235*t**3 - 2*t Let k(c) = -89*c**2 + 8*c - 3. Let s(i) = -30*i**2 + 3*i - 1. Determine -3*k(w) + 8*s(w). 27*w**2 + 1 Suppose -2 = 6*r - 7*r. Let j(u) = 5*u - u - r*u - u + 3. Let x(i) = -8*i + 2. Let p(h) = 9*h - 3. Let s(v) = 6*p(v) + 7*x(v). Calculate 4*j(f) + 3*s(f). -2*f Let q(p) = 10*p + 4. Suppose j = -21 + 15. Let l(h) = -9*h - 3. Let b(v) = j*l(v) - 5*q(v). Let g(o) = 5*o - 2. Calculate -3*b(n) + 2*g(n). -2*n + 2 Let z(o) = o**2 - 9*o - 1. Let k(x) = x**2 - 5*x. Suppose -67 + 7 = 20*w. Determine w*z(f) + 5*k(f). 2*f**2 + 2*f + 3 Let n(j) be the second derivative of -j**2/2 + j. Let k(v) = v + 4. Let y be 3*7/((-42)/(-4)). Suppose y*x + 4 = -2*x. Give x*k(h) - 5*n(h). -h + 1 Let n(l) = -64*l + 7. Let g(z) = 62*z - 5. Determine 6*g(a) + 5*n(a). 52*a + 5 Suppose i - 10 = -4*p, 3*i + 6 = -p + 14. Let g(t) = 2*t**3 - 5*t**3 + 2*t**3. Let b(a) = a**3 + a**2 - 3. Determine p*g(z) + b(z). -z**3 + z**2 - 3 Let c(r) = -5*r + 5 + 6*
{ "pile_set_name": "DM Mathematics" }
Determine f(g(j)). -127008*j**2 Let h(a) = 4*a - 1. Let f(j) be the first derivative of 13*j**2 - 30*j + 61. Let u(t) = f(t) - 6*h(t). Let w(v) = -3*v**2. Give u(w(o)). -6*o**2 - 24 Let n(v) = -1. Let u(q) = 6*q - 27. Let x(i) = 4*n(i) - u(i). Let g(b) = 15158 - 2*b - 15158. Calculate x(g(r)). 12*r + 23 Let f(g) = -26*g**2 + 216*g - 9. Let q(l) = 11*l**2. Give f(q(t)). -3146*t**4 + 2376*t**2 - 9 Let d(g) = 14*g + 3. Let w(f) = 82*f. Let r(k) = 195*k. Let x(t) = -4*r(t) + 11*w(t). What is d(x(n))? 1708*n + 3 Let k(j) = 3*j - 3*j + 49*j**2. Let w(s) = -114 + 4*s + 187 - 73 - 2*s. Calculate w(k(n)). 98*n**2 Suppose -s + 71 - 19 = x, -2*s + 156 = 3*x. Let t(c) = -17*c**2 + 5*c**2 + 52*c - x*c. Let i(j) = 12*j. Give t(i(f)). -1728*f**2 Let j(k) = 3*k**2. Let u(h) = 118*h - 61*h - 60*h - 17*h**2. Let m(t) = -765*t**2 - 136*t. Let g(l) = 3*m(l) - 136*u(l). Calculate g(j(v)). 153*v**4 Let d(o) = 980 - 2933 + 974 + 2*o + 979. Let f(c) = 3*c**2 + 25. Give d(f(z)). 6*z**2 + 50 Let s(a) = a. Let l(t) = -2*t - 335. Let i(p) = -19*p - 156. Let r be i(-8). Let w(v) = v + 169. Let x(n) = r*l(n) - 7*w(n). Determine s(x(d)). d + 157 Let t(f) = 2*f**2. Let u(l) = -192831*l**2 - 24*l. What is u(t(j))? -771324*j**4 - 48*j**2 Let a(o) = -15*o + 7. Let c(h) = -8*h**2 + h + 2. Let j(b) = 490*b**2 - 60*b - 120. Let z(t) = 60*c(t) + j(t). Give z(a(l)). 2250*l**2 - 2100*l + 490 Let l(v) be the second derivative of 43*v**4/12 - 3*v. Let x(j) be the second derivative of j**3/3 - 2*j - 815. Determine l(x(g)). 172*g**2 Let l(z) = -7*z**2. Let q(u) = 4*u - 107*u**2 + 2*u - 6*u + 14*u**2. What is q(l(y))? -4557*y**4 Let q(f) = -53998*f**2 + 10*f - 42. Let i(c) = -2*c. Calculate q(i(w)). -215992*w**2 - 20*w - 42 Let n(h) = -3579*h - 31. Let a(q) = 4369*q. Give n(a(x)). -15636651*x - 31 Let t(z) = z**2 - 617. Let i(j) = 1545*j**2 + 1539*j**2 - 4664*j**2 + 1587*j**2. Determine i(t(f)). 7*f**4 - 8638*f**2 + 2664823 Let z(h) = 5*h. Let d(l) be the first derivative of l**3/3 - 9*l**2 - 6*l + 12094. Calculate d(z(q)). 25*q**2 - 90*q - 6 Let m(x) = -8*x. Let n(w) be the third derivative of -w**8/4032 - 59*w**5/60 + 4*w**2 - 14. Let k(p) be the third derivative of n(p). Calculate m(k(b)). 40*b**2 Let m(v) be the second derivative of v**5/10 + 2*v**2 - 5*v + 4. Let l(y) be the first derivative of m(y). Let p(i) = 11*i**2. Give p(l(h)). 396*h**4 Let o(h) = 0*h**2 - h**2 - h**2. Let q(m) = 5*m**2 + 5*m - 23. Let k be q(-4). Let c(j) = 3832 - 3832 + k*j. Determine c(o(p)). -74*p**2 Let j(v) = -11 + 11 - 360*v**2. Let o(l) be the third derivative of l**5/60 + 4*l**2 + 840. Calculate j(o(b)). -360*b**4 Let a(y) = -8097241*y**2. Let s(q) = 15*q**2. Calculate a(s(t)). -1821879225*t**4 Let a(v) be the second derivative of -7*v**3 + 8*v**2 + 42*v. Let p be a(-4). Let g(s) = 17*s**2 + 184*s - p*s. Let r(c) = -c. Give g(r(f)). 17*f**2 Suppose -14 = -d - 2. Let w(x) be the first derivative of 4 + 11 - d*x**2 - 8. Let z(s) = -2*s**2. Give z(w(n)). -1152*n**2 Let z(j) = -19918*j. Let q(x) = 4*x**2 - 413*x. Give z(q(a)). -79672*a**2 + 8226134*a Let d(h) = 692725*h**2 - 3. Let n(f) = -3*f. Give d(n(w)). 6234525*w**2 - 3 Let u(v) be the first derivative of v**5/20 + 2*v**3/3 + 19*v**2 + 6. Let a(s) be the second derivative of u(s). Let r(o) = -o**2. Give r(a(f)). -9*f**4 - 24*f**2 - 16 Let p(v) be the third derivative of -v**4/24 + v**3/3 + 55*v**2 - 35*v. Let i(f) = -62*f. What is i(p(l))? 62*l - 124 Let c(f) be the first derivative of 17*f**3/3 - 5576. Let g(a) be the first derivative of -a**2/2 - 1. Determine c(g(u)). 17*u**2 Let q(t) = -t. Let v(x) be the second derivative of x**4/6 + 17*x**2 - 75*x - 2. What is q(v(d))? -2*d**2 - 34 Let a(b) = 2*b. Let o(f) be the third derivative of -13*f**7/2520 - f**5/60 - 2*f**3 - 52*f**2 + 1. Let g(k) be the third derivative of o(k). Determine a(g(l)). -52*l Suppose 0 = -5*j - 3*k - 5 + 10, 5*j - 4*k - 40 = 0. Let i(h) = -j*h - 10*h + 20*h - 11*h. Let l(m) = -19*m**2. What is i(l(x))? 95*x**2 Let q(p) = -45*p + 20 - 8*p + 2*p + 27 - 54. Let h(k) = 4*k. Calculate q(h(y)). -204*y - 7 Let p(h) = -62825 + 62825 - 3*h**2 + 2*h**2. Let j(d) be the third derivative of -d**4/24 - 17*d**3/3 - d**2. Determine j(p(i)). i**2 - 34 Let a(l) = 4785*l**2 + 4818*l**2 - 9751*l**2. Let v(g) = -8*g. Calculate v(a(z)). 1184*z**2 Let p(o) be the third derivative of o**5/30 + 5*o**3/6 - 2180*o**2 - 2. Let y(b) = -46*b**2. What is p(y(c))? 4232*c**4 + 5 Let r(d) = 46*d**2 - 7*d - 14. Let y(p) = -7*p**2 + p + 2. Let k(h) = -r(h) - 7*y(h). Let o(g) = 27*g**2 + 2. Give k(o(s)). 2187*s**4 + 324*s**2 + 12 Let n(r) = -100*r**2. Let s(k) = 9*k**2 - 258701*k. What is s(n(b))? 90000*b**4 + 25870100*b**2 Let o(i) = -i**2 + 134. Let d(j) = -9*j**2 + 60263. Give d(o(g)). -9*g**4 + 2412*g**2 - 101341 Let h(a) = -136*a + 40. Let o(s) = 88*s - 25. Let v(q) = -5*h(q) - 8*o(q). Let i(d) = -3*d. Let n(m) = 39*m. Let p(b) = -27*i(b) - 2*n(b). Give p(v(g)). -72*g Let i(q) = -8*q**2 - 86. Let u(z) = 79142*z. Determine i(u(s)). -50107649312*s**2 - 86 Let t(b) = -1856386*b. Let a(l) = -37*l. Calculate a(t(m)). 68686282*m Let v(i) = -3*i - 64. Let u(a) = -a - 16. Let l(h) = 4*u(h) - v(h). Let q(c) = 235*c**2. What is q(l(x))? 235*x**2 Let w(a) = -2*a. Let z(c) = 2*c - 5. Let y = 50 + -10. Suppose 0 = 2*t - y + 26. Let l(r) = -3*r + 7. Let g(s) = t*z(s) + 5*l(s). Calculate g(w(u)). 2*u Let n(k) = -2*k + 4. Suppose 5*g + q = 4 + 7, 2*g = 5*q - 1. Let i(w) = -10*w + 14. Let x(l) = g*i(l) - 9*n(l). Let b(s) = 7*s**2. Determine b(x(h)). 28*h**2 + 224*h + 448 Let w(d) = 2*d**2 - 18*d + 14. Let l be w(12). Let p(v) = -46*v - 49*v + l*v. Let f(i) = 14*i**2. Determine f(p(a)). 1134*a**2 Let l(j) = 192*j - 1. Let p(x) be the third derivative of -4*x**5/15 - 2572*x**2. Calculate p(l(h)). -589824*h**2 + 6144*h - 16 Let u(x) = 20*x - 6. Let b be u(2). Let h = 40 - b. Let l(q) = h*q**2 + 8*q**2 - 13*q**2. Let c(z) = z**2 - 8*z. Give l(c(r)). r**4 - 16*r**3 + 64*r**2 Let y(s) be the third derivative of -49*s**4/24 - 1083*s**2. Let a(f) = -2*f. What is a(y(o))? 98*o Let j(o) = -66*o**2 + 192*o**2 - 66*o**2 - 62*o**2. Let b(y) = 1073*y. What is j(b(m))? -2302658*m**2 Let s(b) = 90*b. Let l(t) = -89*t. Let o(a) = 3*l(a) + 4*s(a). Let p(n) = -15*n. Calculate o(p(x)). -1395*x Let i(h) = -31*h**2 + 67*h - 12. Let n(o) = 88*o**2 - 201*o + 34. Let l(w) = 17*i(w) + 6*n(w). Let y(c) = -17*c. Determine l(y(s)). 289*s**2 + 1139*s Let n(z) = 4*z - 39850. Let u(d) = 183*d. Give n(u(s)). 732*s - 39850 Let z(o) = -2181*o. Let j(w) = -5048*w. Determine j(z(v)). 11009688*v Let l(j) = 11*j**2. Suppose 0 = -4*d - 2*g + 63706, 0 = -2*d - 2*g + 4*g + 31862. Let i(f) = -d + 15928 + 16*f**2. Determine i(l(a)). 1936*a**4 Let c(j) be the third derivative of -19/20*j**5 + 0*j + 0*j**4 - 171*j**2 + 0*j**3 + 0. Let p(l) = 8*l. What is c(p(u))? -3648*u**2 Let p(o) be the first derivative of -2 - 1/2*o**2 - 5*o. Let l(z) = 6*z - 45. Let u(r) = 23*r - 171. Let j(f) = 19*l(f) - 5*u(f). Give p(j(w)). w - 5 Let k(t) = 32*t. Let s(p) be the first derivative of -3*p**2/2 - 882. Calculate k(s(u)). -96*u Let x = -6503 + 6503. Let g(c) be the second derivative of 0 + x*c**3 + 1/12*c**4 + 0*c**2 + 17*c. Let y(l) = 30*l**2. Give g(y(r)). 900*r**4 Let j(f) = 317*f - 14. Let c(s) = -285*s + 12. Let r(n) = -7*c(n) - 6*j(n). Let z(o) = -o - 8. What is z(r(l))? -93*l - 8 Let s(g) = -6*g - 114. Let w(m) be the third derivative of -m**5/30 + 17*m**2 - 179*m - 2. Determine s(w(l)). 12*l**2 - 114 Let i(m) = -8*m. Let j(c) = 374*c**2 + 28*c. Let l(u) = 371*u**2 + 24*u. Let b(y) = -6*j(y) + 7*l(y). Determine i(b(o)). -2824*o**2 Let h(a) be the first derivative of -19*a**2 - 105 + 9*a**2 + 13*a**2 + 43. Let v(f) = -4 - 5*f**2 + 4. What is h(v(r))? -30*r**2 Let x(c) = c**2. Let z = 102 - 95. Let q(b) = b**3 - 7*b**2 - 2*b + 17. Let s be q(z). Let j(l) = l + 9*l + s*l - 7*l. Calculate x(j(t)). 36*t**2 Let w(v) be the first derivative of v**3 - 7122. Let a(u) = -825*u - 2. Calculate a(w(x)). -2475*x**2 - 2 Let t(a) = -18*a**2. Suppose -4*w = -2*w - 5*w. Let v = 4 + w. Let n(z) = 2*z + v*z - 11*z + 4*z. What is n(t(j))? 18*j**2 Let o(q) = 8*q**2 + 4*q**2 + 23*q**2 - 3*q**2 - 12*q**2. Let x(m) = -17*m + 34*m - 7*m. Calculate o(x(f)). 2000*f**2 Let b(i) = 110 - 25*i**2 + 42
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 1/4? (a) i (b) -1 (c) -0.2 a Let x = 221/7 + -31. What is the closest to -1/3 in x, 4/9, 5? 4/9 Suppose 7 = -3*k - 17. Let n be (-15)/100 + 2/k. Which is the nearest to -0.1? (a) n (b) 3 (c) 1/10 c Let r(u) = 4*u + 5. Let t be r(-2). What is the nearest to -2/7 in t, 2/5, -2/3? -2/3 Let u = -1/3 + 0. Suppose 2*r - 1 + 3 = 0. Which is the nearest to u? (a) r (b) -2/7 (c) 2 b Let k = -1 + 1. Let w(j) = j - 8. Let i be w(4). Which is the nearest to k? (a) -2/3 (b) -0.4 (c) i b Suppose k - 2 = 2. Let s be (-4 + 3)*1*3/1. Let h be 4*(0 - (-2)/(-4)). Which is the nearest to -2/5? (a) k (b) h (c) s b Let h = -3 + 1. What is the nearest to -0.1 in 3, -2/13, h? -2/13 Let f = -4 + 2. Let o = -4 - f. Let j = 5.5 + -1.5. Which is the nearest to -0.1? (a) j (b) o (c) 0.5 c Let o(l) = -l. Let j be o(0). Let m be ((-1)/(-2) - j)*-4. Let r(h) = -h**3 + 2*h - 1. Let c be r(m). What is the nearest to 2/5 in 0.3, -1, c? 0.3 Let q = -32 + 32.1. Which is the nearest to 4? (a) q (b) -1 (c) 4 c Let h be ((-8)/6)/2 - 0/1. Which is the nearest to 0.1? (a) h (b) -3 (c) -4 a Let y be (-20)/(-6) - (-14)/21. What is the closest to -1 in y, -5, 2/5? 2/5 Let w = -2713/15 + 181. Let i be -9*(-2 + 2/3). Let c = i + -7. What is the nearest to -0.2 in c, 5/2, w? w Let m = 147 + -146.8. What is the closest to -20 in -3, m, -1? -3 Let p = -0.54 - -0.5. Let i = p + 0.64. Let v = i - 2.6. What is the nearest to -0.2 in v, 5, 1/9? 1/9 Suppose -5*y + 4*i + 3 = 0, 21 = 5*y + 2*i - 0*i. What is the closest to -2 in y, 5, -0.2? -0.2 Let r be (0 + -3 - -5) + -1. Let t be r + -2 - 42/(-54). What is the closest to -0.2 in -3, -0.1, t? t Suppose 5*l + 5*x = -40, 5*l + 19 = 2*l - 2*x. What is the closest to -0.1 in 5, l, -1.6? -1.6 Let n = -3 - -3.5. Let k = -10 - -14. Suppose 0 = 7*d - 2*d - 5. What is the nearest to d in n, -3/7, k? n Let h be 48/(-64) + (-1)/(-2). Which is the closest to -2/9? (a) h (b) 5 (c) -0.1 a Let l = 0.7 + -0.3. Let y = -0.9 + l. Which is the closest to 1? (a) -3/8 (b) y (c) 1 c Let o be (2/18)/((-12)/72). Which is the closest to 2/7? (a) -4 (b) o (c) -0.1 c Let l = -2.5 + 2. Let n be (-3)/2*2/(-1). Let g = -17.1 + 17. Which is the closest to n? (a) l (b) g (c) -5 b Let o(r) = 13*r - 6. Let w be o(8). Let n = w - 884/9. What is the closest to 2/3 in -1/11, -2, n? -1/11 Let c = -0.02 + 0.32. Let m = 0.2 - c. Let b = m + 0.2. What is the nearest to b in -3, 1/3, -4? 1/3 Let x = 0.5 + -0.6. What is the nearest to x in 0, -2, -1? 0 Let z = -7.9 - 2.1. Let t = z - -10. What is the nearest to t in 1, 0.4, 2/3? 0.4 Suppose -2*n = -n + 3*t - 67, -n + 73 = t. Let y be (2/n)/((-6)/24). Which is the closest to 1? (a) -5/3 (b) 4/3 (c) y b Suppose 5*q - w + 12 = 8*q, 5*w = -2*q + 8. What is the closest to -1.8 in q, -0.1, -2/5? -2/5 Let q = -0.16 - 0.34. Which is the closest to 3? (a) q (b) 2 (c) -5 b Let m(g) = g**3 + 3*g**2 + 1. Let n be m(-3). What is the closest to n in 5, 3, -0.6? -0.6 Let w be (54/81)/(2/6). Which is the nearest to -2/3? (a) 0.2 (b) -4 (c) w a Let q = -32 + 33. What is the closest to -1/3 in 2.6, -1/8, q? -1/8 Let l = 2335/7 + -333. What is the nearest to 1 in l, 3/4, -5/3? 3/4 Let y = -22 + 25.1. Let b = 3 - y. What is the closest to 1/3 in b, -2/11, 0.06? 0.06 Let y = 1.43 - 1.33. Which is the closest to y? (a) 1.9 (b) -1/7 (c) 5/2 b Let r be (-30)/(-12) + 4/(4/(-3)). Let q = 6.3 - 6. What is the closest to -2 in 1/2, r, q? r Let p be (((-14)/4)/7)/(3/1). Which is the closest to p? (a) -2 (b) 0.4 (c) -4 b Let p = 135 - 134.5. Which is the closest to -2? (a) 10/9 (b) p (c) -0.2 c Let t = 5 + -8. Let o(z) = -2*z - 7. Let w be o(-5). Suppose w*m = 5 + 1. What is the closest to -0.1 in m, t, -1? -1 Let s = 0.46 - 0.46. Which is the nearest to 0.1? (a) 5 (b) -0.2 (c) s c Let k = 15 - 10. Let m be (12/117)/((-2)/(-3)). What is the nearest to m in -0.1, 0.4, k? 0.4 Let h(p) = -p**2 + 13*p + 14. Let i be h(14). What is the closest to 0.02 in 0.4, 2, i? i Let l(p) be the first derivative of -p**4/4 - p**3 + p**2/2 + 4*p + 1. Let k be l(-3). Let m = -9.5 + 9.9. Which is the closest to 1/2? (a) m (b) k (c) -0.3 a Let h be 36/(-12) - (-502)/8. Let s = h + -60. Which is the nearest to 0? (a) -2 (b) s (c) -3 b Let h = -0.4 - -0.3. Let o = -0.2 - h. Let q = -16 + 14. What is the closest to o in q, 2, -3? q Let z = 1 - -1. Let k = 3 - 2.5. Let h(t) = -t + 1. Let p be h(1). Which is the closest to -1? (a) p (b) k (c) z a Let s = 114 - 109. What is the closest to 0.1 in 6, 0.5, s? 0.5 Let p(z) = -z**3 + 5*z**2 - 4*z - 4. Let g be p(4). Let w = -5 - g. What is the nearest to w in -5, -0.1, 0? -0.1 Let g = 47.2 - 47. What is the nearest to g in 4, 0.3, -3? 0.3 Suppose -2*y + 4*d - 3 - 3 = 0, 0 = -5*y + 3*d - 22. Which is the nearest to -1/4? (a) y (b) 4 (c) -4 c Let g = -185 - -186. Which is the closest to 1? (a) -2/3 (b) g (c) 6 b Let p = -55178/9 + 6247. Let f = -59 - -175. Let r = f - p. What is the closest to -1 in -0.1, r, 2? r Let o be 6/9*33/102. Let y = o + 2/17. Let d = 1 + 0. Which is the closest to -1? (a) d (b) y (c) 2 b Let o = 9.1 - 10. Let x = 4 - 3. Let z = x + o. Which is the closest to z? (a) 3 (b) 1 (c) -5 b Let j = 0.03 + 1.97. Let u = -5.4 + -1.9. Let z = u - -7. What is the closest to -0.2 in z, j, -3? z Let f = 1.2 + -0.7. Let d = 0.3 - f. Suppose 4*q + 3 = -3*i, -3*q = -2*i + 5*i + 3. Which is the nearest to q? (a) d (b) -4 (c) 2/7 a Let y = -0.062 - -30.062. Let h = y - 23.9. Let k = h - 6. Which is the nearest to k? (a) 0 (b) -0.1 (c) -4 a Let t = -13 - -12.8. Let n = -16 + 12. Let o = -0.1 - -0.1. What is the nearest to t in o, 0.3, n? o Let p be 39/(-54) - (-7)/14. Which is the closest to 0.1? (a) 2/21 (b) p (c) 1/7 a Suppose -u - l + 4 = 4*l, u = -l. What is the nearest to 0 in u, 4, 0.3? 0.3 Let t be 5*-7*4/(-50) + -2. Suppose 0 = 2*o + o. Which is the closest to o? (a) t (b) 1/6 (c) -3 b Let j = 2.905 - 0.005. Let u = 3 - j. Let f = u - 0.2. What is the closest to f in 4, -0.1, -4? -0.1 Let j(g) = -2*g**2 + 33*g + 13. Let z be j(17). What is the closest to 0.4 in z, -0.2, 3? -0.2 Let w = 0.15 - 0.05. Which is the closest to w? (a) -2 (b) -3 (c) -1 c Let m be (-10 + 13)/((-9)/2). What is the closest to 1/3 in 2, 0.4, m? 0.4 Let f = 0.5 + 0.1. Let o = 0.5 - f. Which is the nearest to o? (a) 0.5 (b) 0 (c) -5 b Suppose 3*c = 4*c - 2. Let k be 3 + ((-84)/20 - -2). What is the closest to c in 5, -5, k? k Let k = 1.8 - 1.8. What is the closest to -2/3 in k, -2, -0.4? -0.4 Let x = -3.8 + 3.8. Let c(u) = -u**2 + 9*u + 2. Let o be c(6). Suppose -o = 5*m - 2*z, -3*z - 10 = -5*z. What is the closest to 1 in 3, m, x? x Suppose -4*g + 3*r - r + 8 = 0, 0 = 5*g + 4*r + 3. Which is the closest to g? (a) 6 (b) -0.4 (c) 2 c Let t = 2.5 - 1. Let x = t - 1. Let r = 350/11 - 32. Which is the closest to 0? (a) 0 (b) r (c) x a Let n = 20 - 30. Let d = 6 + n. Which is the closest to 1? (a) 1/4 (b) -3 (c) d a Let t = -0.027 + -2.973. What is the nearest to -11 in t, 5, 3/8? t Suppose 3*n - 12 = p - 2*p, 0 = n. Let m be (p/(-45))/(6/5). What is the closest to -1/2 in m, -3, -1/5? m Let q = -4 - -2. Let a be 8 + (-1 - (0 - q)). What is the nearest to -2 in 0.5, 0, a? 0 Let f = -0.2 + 0.1. Let y = -36.4 - -36. What is the nearest to f in 3, y, 4? y Suppose 0 = 7*i - 5*i + 6. Let o be (4/20)/((-1)/i). What is the closest to 1/3 in -3, 0, o? o Let f = 1 + -0.9. Let t = 2 - 3/2. Let g = 92/7 - 13. What is the nearest to t in g, 2/3, f? 2/3 Let g = 1.1 + -0.1. What is the nearest to -1/2 in 4, -1/2, g? -1/2 Let q = 2.66 - 2.57. Let z = 2.2 + -2. What is the closest to -2/3 in 1/3, z, q? q Let x = 0.2 - 0.2. Let y = 0.1 + x. Let c = 7.9 - 8. What is the closest to c in y, -1, 1/9? y Let w be 6/4 - 3/6. Let t = -0.1 + 0.6. Let z = -173 + 1208/7. Which is the closest to w? (a) 0.1 (b) z (c) t c Let w = -0.03 - -0.33. What is the closest to -2/11 in 3, -2, w? w Suppose -3*x = -12, -30 = -2*h - 2*x + 8. What is the closest to h in 3, -1/7, 1/3? 3 Let z = 13 - 9. Let w be 28/(-12) + z/(-6). What is the closest to -0.1 in w, 5, -0.3? -0.3 Suppose 0 = -3*l - 15 + 3. Let r be (-2)/5*(-70)/(-98). Which is the closest to 2/7? (a) r (b) l (c) 0.4 c Let
{ "pile_set_name": "DM Mathematics" }
0*50)/((-2)/26*3). -13/3 Evaluate ((-6)/33)/((-92)/506)*6/22. 3/11 What is the value of 16/40*(-360)/18? -8 6*(-9)/756*36 -18/7 Calculate ((-5)/(-155))/((345/(-30))/(-23)). 2/31 What is 1/(-3)*(-4290)/(-550)? -13/5 What is 45/(-2)*134/13065*65? -15 Evaluate 2/(-6)*(-96)/64. 1/2 (((-28)/(-16))/(147/126))/((-2)/(-28)) 21 Evaluate (-21)/49*(-98)/(-84)*11*2. -11 ((-4)/10)/(188/705)*6 -9 (-360)/(-42)*-7*(-19)/(-38) -30 What is (-28)/((-1120)/(-130))*-4? 13 (150/35)/5*-7*(-24)/(-9) -16 Calculate (-20)/(-20)*((-182)/(-8))/7. 13/4 What is (36/(-7))/(((-4840)/(-77))/20)? -18/11 Evaluate ((-430)/(-2580))/(3/(-4))*8. -16/9 (15/6)/(800/(-960)) -3 What is ((-2)/(-2))/(((-7)/(-91))/1)? 13 Calculate 3*((-15)/6)/1*(-144)/135. 8 Calculate (-608)/152*((-2)/(-2))/82. -2/41 Evaluate ((-336)/(-192)*2/7*4)/(-8). -1/4 Evaluate (12/(-63))/(42/147). -2/3 861/(-287)*4/3 -4 Evaluate -7*(2484/189)/23. -4 Calculate ((1/6)/(182/104))/(12/7). 1/18 What is ((-360)/(-1008))/(50/35)? 1/4 Evaluate 0/(160/(-680)*-17). 0 314/(-471)*1*(-12)/7 8/7 What is the value of ((-173)/(-3633))/((-30)/(-378))? 3/5 Calculate (50/20)/(115/4). 2/23 Calculate (-35)/40*(176/(-56))/11. 1/4 Calculate 4914/(-2184)*(-32)/(-6). -12 Evaluate (-15)/6*((-1008)/(-135))/28. -2/3 ((-27)/(-18))/((147/(-28))/7)*-5 10 Calculate (-2*2/300)/(14/(-42)). 1/25 What is the value of (-135)/(-3)*55/165? 15 What is the value of (-88)/(-30)*43/(3440/600)? 22 Evaluate ((-46)/(-1610))/(1/10)*140/48. 5/6 Calculate ((-2)/(-1)*97/(-194))/(2/6). -3 What is 2/(20/14)*25190/(-5038)? -7 What is the value of 48/270*5*153/204? 2/3 Calculate 8*24/672*2. 4/7 ((20/123)/(-5))/((-1)/3*2) 2/41 ((-6)/(-18))/(20/780) 13 Calculate 15*(-6)/1215*-2*(-9)/(-3). 4/9 25*5*(84/(-175))/4 -15 -3*10/(-78)*(-34)/(-170) 1/13 Calculate ((-4)/((-20)/15))/(((-1566)/(-180))/(-29)). -10 (-34)/(-10)*-3*-30*(-17)/306 -17 ((-5)/(-4)*-2)/((65/20)/(-13)) 10 What is ((-10)/(-12))/(745/(-1341))? -3/2 What is the value of 1/(12/8)*2340/104? 15 Evaluate 464/174*9/12*(-21)/70. -3/5 What is the value of (9/(-56)*288/(-216))/(6/(-21))? -3/4 What is 525/90*54/45? 7 What is (-33)/22*(-3)/(-4)*(-1664)/234? 8 What is 16/4*14/56*2/(-13)? -2/13 Evaluate (23*(-108)/(-1863))/((-4)/30). -10 Evaluate (-98)/(-1960)*60*((-40)/6)/(-2). 10 What is the value of ((-6)/156)/(2/39*-3)? 1/4 What is the value of (-6)/105*(10/2)/((-22)/22)? 2/7 ((2/(-6))/1)/((-119)/(369138/(-376))) -11/4 Calculate 3564/6534*(-22)/(-57). 4/19 What is the value of ((-1)/3)/(335/13065)? -13 What is (-176)/132*(-9)/(-12)*-3? 3 What is (-5)/(((-12)/(-45))/(120/(-90)))? 25 1/(-1)*10/100*10 -1 Calculate 2020/2828*7/2*12. 30 Calculate (582/97)/(18/(-44))*(-6)/(-8). -11 ((5292/(-9))/(-28))/(-1) -21 What is 1/(42/56)*-6? -8 Calculate ((-5)/(-10)*1)/(28/56). 1 What is the value of ((-9)/((-450)/(-80)))/((-468)/270)? 12/13 (((-12)/(-3))/(-28))/(-4*4/2128) 19 What is the value of -12*(-7)/56*(-300)/30? -15 Evaluate -425*24/(-1080)*(-3)/10. -17/6 What is 18/8*(-18668)/6462? -13/2 What is (1015/84)/(-29)*1/(100/15)? -1/16 Evaluate 2/28*(-87)/(89349/(-553)). 1/26 What is the value of 8/(-60)*-35*4*(-18)/(-588)? 4/7 Calculate (12/80)/((-19)/(-380)). 3 Evaluate (-27)/18*5/(-3)*108/(-630). -3/7 Evaluate 1*3*374/1122*(-2)/6. -1/3 Evaluate (12*(-3)/(-330))/(5/(25/(-1))). -6/11 Evaluate 16/(-48)*(-126)/(-28)*(-2)/(-48). -1/16 (8/(-4))/(2*24/8)*5 -5/3 What is the value of 10*(-162)/(-36)*9/(-15)? -27 What is (22/((-352)/(-12)))/3? 1/4 ((-3)/6)/(((-1617)/(-12))/(-11)) 2/49 (80/6)/((-14928)/(-27990)) 25 What is the value of (((-63)/(-35))/(36/(-120)))/(30/(-8))? 8/5 ((-4)/(-390))/((-5)/(-15)) 2/65 (64/(-6))/(3*(-8)/36) 16 (((6*3)/2)/(456/(-1216)))/(-2) 12 Calculate (-55)/1*((-304)/40)/38. 11 Evaluate (((-6)/(-2))/18)/(180/270). 1/4 (((-3)/(-27))/((-6)/(-189)))/(28/32) 4 What is the value of 25/30*(-1040)/(-650)*(-2)/72? -1/27 Calculate 10*(24/(-20))/((9/6)/1). -8 What is the value of 27*-15*(-9)/(-810)? -9/2 (15/4)/((-39)/(-26))*16/60 2/3 ((-30)/10)/((-2)/(-6))*1 -9 What is the value of 10/(-28)*(6/(-1))/((-3720)/(-496))? 2/7 What is ((-66)/39)/(658/4277)? -11 Evaluate (60/(-65))/(81/(-351)). 4 What is the value of (-3)/5*70/63*18/24? -1/2 (8/68)/((-8)/(-272)) 4 (-3)/((-36)/(-6))*(-1)/(-2)*4 -1 ((-351)/18*1)/((81/(-6))/9) 13 Calculate ((-47)/282)/(-2*5/15). 1/4 (-6*3/12)/(5*(-30)/(-500)) -5 (-9)/((-261)/58)*12/3 8 ((-4)/(-55))/((3150/(-385))/(-45)) 2/5 (30/(-25))/(17/((-340)/21)) 8/7 Evaluate (1/9)/((-52)/96)*(-9)/4. 6/13 What is 995/(-398)*-1*48/10? 12 376/(-564)*2/6*6/(-8) 1/6 Calculate 15*(-196)/(-14)*(-1)/(-21). 10 Evaluate ((-3)/6)/((-69)/(-1380)). -10 What is (1280/512)/((-3)/(144/(-5)))? 24 (2*324/(-32))/(4*99/(-528)) 27 What is the value of ((-170)/(-120)*-4)/((-2)/(-6))? -17 Calculate (((-1)/(-12))/(10/(-15)))/((-1)/1). 1/8 (1/(-6))/((4598/(-2964))/(-121)) -13 What is ((-19)/1596*-6)/((-12)/(-14))? 1/12 Evaluate -3*16/(-132)*110/20. 2 What is the value of (56/21)/((-104)/(-351))? 9 Evaluate (-8)/(-14)*(637/112)/13. 1/4 What is 1/(5*2/(-100))? -10 (-2)/9*(-159)/(-1378)*3 -1/13 Evaluate ((-1)/3*1)/((-9)/(-540)). -20 Calculate (-88)/(-4)*((-1575)/(-1890))/((-10)/(-18)). 33 ((-72)/(-78))/((-7)/(-91)) 12 What is (-5)/(-21)*40/(-100)? -2/21 Evaluate (6*7/784)/((-36)/(-48)). 1/14 1/((-2)/(-2)*8/(-32)) -4 What is the value of ((-21)/9)/((-4592)/49200)? 25 What is (-3618)/(-201)*(-36)/27*2/(-8)? 6 What is the value of ((-12400)/(-2232))/((-245)/(-126))? 20/7 What is the value of (-6)/2*2968/(-318)? 28 What is -6*(-2)/16*1104/(-1380)? -3/5 (-684)/(-72)*13/(91/14) 19 168/(-192)*12/42 -1/4 (160/350)/((-96)/(-360)) 12/7 Calculate 4/(-80)*(4*-27)/3. 9/5 Calculate (((-25)/125)/(9/255))/(3/9). -17 Evaluate ((-177)/177)/(2/24). -12 What is ((-1)/(-3))/((-43)/774)? -6 What is the value of ((-8)/((-192)/(-10)))/((-30)/(-12))? -1/6 What is (25/135)/(595/1428)? 4/9 Evaluate (8/(-20))/((-162)/(-2430)). -6 ((-1692)/(-3760))/(6/(-8)) -3/5 Calculate (8/70)/(22*(-25)/4125). -6/7 Evaluate (7/7)/((90/(-15))/96). -16 What is the value of 16/(-48)*9*13/3? -13 (-6)/(-60)*3*(-3)/6*4 -3/5 3/16*(-4)/11*(-187)/(-102) -1/8 Evaluate ((-5691)/(-813))/(-2*(-2)/4). 7 Evaluate 154/1694*(-11)/(-2). 1/2 What is the value of (-44)/(-44)*-15*1/(-1)? 15 Calculate (6/(-10))/((168/(-140))/(4/4)). 1/2 Evaluate (-78)/(-325)*((-35)/14)/(-1). 3/5 What is the value of 128/(-8)*-1*(-11)/(-22)? 8 What is ((2125/68)/(-25))/(-1)? 5/4 Calculate 240/210*(8/56)/(4/14). 4/7 Calculate 1/9*2178/847. 2/7 What is the value of (53/901)/(1/(-2))? -2/17 Calculate 4*((-2)/2)/(-7*19/(-532)). -16 Calculate ((18/(-3))/(-1))/((-1)/(-4)*-33). -8/11 Calculate ((-4752)/(-6360))/33*5/(-3). -2/53 Evaluate (-5190)/(-173)*(6/(-4))/3. -15 What is (5/(-160)*4)/((-1)/8)*7? 7 What is (-3)/(-42)*496/(-62)? -4/7 (((-2)/(-7))/(-2))/(616/176) -2/49 ((-12)/(-16)*64/72)/((-2)/6) -2 What is the value of 1/9*(-450)/(-15)? 10/3 1167/19061*7/3 1/7 Calculate ((2/(-20))/(7/(-42)))/((-168)/60). -3/14 What is 1*2*(11/(-55))/(7/35)? -2 Evaluate ((-30)/(-21))/(712/623). 5/4 8*(-2)/(13/52*16) -4 1/((6/(-2))/((-63)/(-273))) -1/13 What is the value of (8*(-1)/3)/((-471)/(-1413))? -8 Calculate (((-240)/18)/10)/(-9*(-2)/12). -8/9 Evaluate (1018/(-1527))/(3/(-63)*1). 14 What is the value of (-4*7/(-28))/(28/20)? 5/7 What is the value of (-6)/((24/6)/((-36)/90))? 3/5 Evaluate -13*36/(-351)*33/4. 11 Evaluate (32/(-96))/(-33*4/18)*2. 1/11 What is the value of (5/((-30)/8))/((13/3)/13)? -4 What is the value of ((7353/1892)/57)/(2/(-8))? -3/11 What is the value of (112/(-21))/(-4)*-6*1/(-30)? 4/15 What is the value of (415/(-332))/((-1)/5*10/4)? 5/2 ((-60060)/12285)/(2/9) -22 What is (142/(-923))/(-1*2/2)? 2/13 Calculate -1*(-15)/270*-9. -1/2 Evaluate ((-420)/168)/((-6)/(-3)*(-2)/(-16)). -10 Evaluate (-6)/(1*-2)*33/1584*-12. -3/4 What is (-5)/(-2)*(-52)/(-65)*390/30? 26 Evaluate -5*((-640)/8)/20. 20 Evaluate 15/(-6)*-44*5/(-50). -11 What is the value of (9/(-84)*6)/((-36)/720*-60)? -3/14 Calculate -26*(-7)/42*-3. -13 ((-9)/(-3))/(44*((-90)/24)/(-15)) 3/11 What is the value of (4/1)/(-3*4*(-1)/(-18))? -6 What is ((-3)/(-6))/((-6)/(-72))*2*2? 24 What is the value of ((-1932)/(-805))/((-6)/(-40))? 16 (-3)/(5/(-2)*1518/(-44275)) -35 1*14/8*(-128)/(128/8) -14 What is the value of (552/230)/(1602/15)? 2/89 Evaluate (9*4/48)/(-9*10
{ "pile_set_name": "DM Mathematics" }
0 172 divided by 2 86 24 divided by -12 -2 What is -9 divided by 175? -9/175 What is -397 divided by 4? -397/4 Calculate 940 divided by 188. 5 -2008 divided by 5 -2008/5 -78882 divided by -6 13147 Divide -3760 by 2. -1880 Calculate 15 divided by -15. -1 What is 0 divided by -39? 0 1392 divided by 28 348/7 Calculate -2 divided by -31. 2/31 -3037 divided by -6 3037/6 Divide -323 by -3. 323/3 -2555 divided by -511 5 Calculate -988 divided by 2. -494 Calculate -2420 divided by -44. 55 -2 divided by -3386 1/1693 Calculate 1045 divided by -11. -95 Calculate 2 divided by 56. 1/28 0 divided by -374 0 What is 561 divided by -187? -3 What is -287 divided by -41? 7 -5 divided by 144 -5/144 Divide 0 by 46. 0 Divide -218 by -93. 218/93 256 divided by 4 64 Divide 0 by 1030. 0 What is 765 divided by -255? -3 Divide -19 by 76. -1/4 Calculate 1 divided by -78. -1/78 Divide -22 by -10. 11/5 What is -2 divided by 13? -2/13 What is 79 divided by 1? 79 What is -256 divided by 64? -4 What is -26 divided by -13? 2 -104 divided by 5 -104/5 What is 2769 divided by -1? -2769 Divide 1 by -66. -1/66 What is -220 divided by 10? -22 Calculate 2575 divided by 5. 515 Divide -11322 by 9. -1258 Divide 216 by 1. 216 Calculate -306 divided by 153. -2 Divide 16 by -8. -2 -24 divided by -4 6 Divide 56 by -56. -1 Divide -58 by -199. 58/199 Divide 3476 by 4. 869 Calculate -917 divided by 4. -917/4 Calculate 4 divided by -145. -4/145 What is -2 divided by -51? 2/51 Calculate -100 divided by -8. 25/2 What is -345 divided by 15? -23 -6169 divided by -1 6169 Divide -1 by 781. -1/781 What is 306 divided by -51? -6 -78 divided by -6 13 Divide 561 by -51. -11 Calculate -1 divided by 266. -1/266 What is 0 divided by 62? 0 -11 divided by -10 11/10 What is 4 divided by -31? -4/31 Divide -4402 by 142. -31 What is -10728 divided by 6? -1788 Calculate -1685 divided by 5. -337 Calculate 1610 divided by 322. 5 Divide -1584 by -44. 36 Calculate 1 divided by -949. -1/949 Calculate 17 divided by 6. 17/6 Calculate 322 divided by 2. 161 Divide 5 by 331. 5/331 Calculate 3844 divided by 62. 62 What is -2 divided by -175? 2/175 Calculate -36490 divided by 5. -7298 Divide 63 by -63. -1 Calculate -1240 divided by -2. 620 3778 divided by -2 -1889 What is 5196 divided by 5? 5196/5 What is 21 divided by 13? 21/13 -4791 divided by 3 -1597 Calculate -174 divided by 6. -29 What is 1 divided by -4950? -1/4950 3 divided by 505 3/505 81 divided by 9 9 Divide 60 by -12. -5 -720 divided by -6 120 What is 585 divided by 117? 5 685 divided by -5 -137 2466 divided by 5 2466/5 Divide 1620 by 15. 108 What is -9 divided by 4? -9/4 Divide 288 by -72. -4 1700 divided by -4 -425 What is -264 divided by -88? 3 Divide 0 by -13. 0 Calculate 0 divided by -975. 0 0 divided by -54 0 62 divided by 62 1 -3 divided by 1832 -3/1832 Calculate -54 divided by 86. -27/43 What is 0 divided by 939? 0 Calculate -116 divided by -29. 4 What is -29400 divided by 6? -4900 Divide -1 by 9. -1/9 What is -69 divided by 69? -1 -80 divided by -20 4 Calculate -189 divided by -13. 189/13 What is -216 divided by -24? 9 Divide 2 by -252. -1/126 Calculate -376 divided by 4. -94 Calculate 90 divided by -9. -10 What is 966 divided by 3? 322 Calculate -267 divided by 5. -267/5 What is 892 divided by 446? 2 What is 108 divided by 27? 4 Divide 814 by -34. -407/17 -33723 divided by -2 33723/2 -4 divided by -969 4/969 What is 4 divided by 5? 4/5 What is -168 divided by 21? -8 Divide 2688 by -6. -448 -144 divided by -3 48 Divide 8294 by 638. 13 Calculate 1 divided by -5. -1/5 Calculate -406 divided by -7. 58 What is 4 divided by -2? -2 What is 13 divided by -2? -13/2 Calculate -4911 divided by 3. -1637 What is -3401 divided by 1? -3401 0 divided by -2 0 5356 divided by 412 13 -2 divided by 1324 -1/662 Divide -330 by 66. -5 2000 divided by 16 125 Divide -719 by 4. -719/4 Divide 13180 by -5. -2636 Calculate 96 divided by -32. -3 Divide -437 by 6. -437/6 Calculate -429 divided by -3. 143 Divide 9 by 815. 9/815 -139 divided by -8 139/8 Divide -1 by -85. 1/85 Calculate -613 divided by -5. 613/5 392 divided by 49 8 Divide 1 by -7. -1/7 What is -1190 divided by -17? 70 Divide -5073 by -3. 1691 Divide -18381 by 3. -6127 Divide -15440 by -3088. 5 Calculate -64 divided by 2. -32 What is -15880 divided by 397? -40 -8 divided by 655 -8/655 What is -6066 divided by 2022? -3 What is 676 divided by 4? 169 Divide 1790 by 895. 2 Divide 180 by 45. 4 What is 440 divided by 88? 5 Divide -49 by 27. -49/27 2040 divided by 408 5 Divide 0 by 5277. 0 Calculate -157 divided by 2. -157/2 Divide 21 by 19. 21/19 -190 divided by 5 -38 What is -9612 divided by -2403? 4 106 divided by -53 -2 Calculate -2536 divided by -4. 634 What is -7 divided by 31? -7/31 Divide -595 by 595. -1 Calculate 0 divided by 106. 0 Divide -146 by -5. 146/5 -56 divided by -22 28/11 5 divided by -2685 -1/537 4 divided by 568 1/142 Divide 16425 by -3. -5475 294 divided by 49 6 What is -5 divided by 307? -5/307 12 divided by -4 -3 -797 divided by -1 797 36074 divided by -2 -18037 What is -125 divided by 125? -1 Divide 3224 by 806. 4 What is 1170 divided by -90? -13 -644 divided by -161 4 Divide 1221 by 11. 111 What is 66 divided by -44? -3/2 Calculate -464 divided by 3. -464/3 Calculate -5 divided by -14. 5/14 Divide -27668 by -4. 6917 What is -54140 divided by 2? -27070 Divide -117 by 13. -9 72 divided by -12 -6 Calculate 119 divided by 5. 119/5 What is -7782 divided by 3891? -2 Calculate -3 divided by 541. -3/541 What is 12948 divided by 6? 2158 Calculate -21 divided by 6. -7/2 4 divided by -945 -4/945 Divide 2 by -198. -1/99 Divide 0 by -2970. 0 Divide -4844 by -346. 14 1746 divided by -3 -582 -2 divided by 66 -1/33 Calculate 92 divided by -74. -46/37 948 divided by 79 12 2 divided by -375 -2/375 Calculate -5 divided by 135. -1/27 Calculate -960 divided by -3. 320 Calculate 340 divided by 4. 85 Calculate -456 divided by -34. 228/17 Divide -1510 by -302. 5 Divide 114 by -9. -38/3 What is -272 divided by -68? 4 What is 825 divided by -825? -1 Divide 110 by -22. -5 Divide 1172 by 586. 2 Calculate 8619 divided by 3. 2873 What is -6 divided by -3? 2 Calculate 759 divided by 69. 11 Calculate 2497 divided by 6. 2497/6 Calculate 3096 divided by -129. -24 What is 5 divided by -53? -5/53 9956 divided by 5 9956/5 Calculate -236 divided by -5. 236/5 What is 46 divided by -26? -23/13 Divide 1118 by -1118. -1 What is -390 divided by 7? -390/7 Calculate 727 divided by 4. 727/4 5 divided by -256 -5/256 Divide -100 by -5. 20 Calculate -2157 divided by -3. 719 Divide -585 by 65. -9 Divide 3 by -115. -3/115 Calculate 7458 divided by 6. 1243 Divide -2 by 658. -1/329 What is 462 divided by 1? 462 Divide 365 by -5. -73 Calculate -198 divided by -6. 33 What is -18 divided by -517? 18/517 Calculate -4 divided by -63. 4/63 What is 52770 divided by -5? -10554 2 divided by 2 1 -120 divided by 5 -24 What is 18 divided by -89? -18/89 Divide 11 by 117. 11/117 Divide 1064 by -532. -2 Calculate 21740 divided by -4348. -5 What is -319 divided by 4? -319/4 Calculate 10664 divided by 2666. 4 What is 176 divided by -4? -44 84 divided by 4 21 What is -288 divided by -16? 18 -1903 divided by -1903 1 What is 6 divided by 129? 2/43 660 divided by 220 3 Calculate -139 divided by 139. -1 Divide 31 by -244. -31/244 What is 603 divided by -201? -3 Divide 7 by 19. 7/19 What is -11389 divided by -5? 11389/5 -6831 divided by -3 2277 -3 divided by 76 -3/76 What is 54 divided by 3? 18 What is 1248 divided by -104? -12 What is 5 divided by 247? 5/247 Divide 519 by -1. -519 Divide -100 by -5. 20 Divide -4 by -48. 1/12 Calculate -258 divided by 5. -258/5 -163 divided by -2 163/2 Calculate 218 divided by -4. -109/2 257 divided by 257 1 What is -1020 divided by 5? -204 Calculate -72 divided by -89. 72/89 Calculate -25 divided by -47. 25/47 What is -36 divided by 3? -12 -37 divided by -4 37/4 What is 324 divided by -1? -324 Divide 0 by 101. 0 What is -4 divided by 522? -2/261 Divide -304 by -3. 304/3 -5 divided by 17 -5/17 Divide -1206 by -134. 9 What is 0 divided by 163? 0 Divide -11403 by 3. -3801 What is -295 divided by -3? 295/3 567 divided by -21 -27 12045 divided by -2409 -5 What is 4425 divided by 5? 885 Divide -3469 by -6. 3469/6 -5862 divided by -6 977 Divide 4
{ "pile_set_name": "DM Mathematics" }
ose 0 = -13*b - 104 + 1820. Suppose 2*z - 13*z + b = 0. Suppose -15*x = -z*x - 216. Does 13 divide x? False Let z be 24 + (0 - 8)/(-2). Let r be -1 + 11 - (z + -24). Suppose m - r*m + 265 = 5*q, m - 69 = -5*q. Does 23 divide m? False Let k(s) = -2*s**2 - 129*s**3 + 2 + 125*s**3 + 7*s**2 - 8*s. Let b be k(3). Let m = 122 + b. Is 37 a factor of m? True Suppose 7031908 = 55*l + 444*l. Is 69 a factor of l? False Suppose 5*g - 6 = 8*g. Let p(f) = -f**3 - 1. Let s be p(g). Suppose 5*r - 52 = -2*i, -2*i - r - 103 = -s*i. Does 7 divide i? True Let x(p) = -2*p**2 - 4*p + 4. Let h = 34 - 38. Let t be x(h). Does 17 divide 9/t + 391/4? False Let n = 2202 - -114. Is n a multiple of 56? False Suppose -2*i + 1211 = -5*s, 5*s + 902 = -5*i - 323. Is s/(15/(-20)*1) a multiple of 18? True Suppose 0 = 5*f - 18*f - 52. Is 2 a factor of ((-42)/f)/((-366)/96 + 4)? True Does 18 divide (1760/528)/((-2)/(-582))? False Let t(r) = -2*r**3 - 13*r**2 - 14*r - 32. Let u be t(-6). Suppose -u*a + 57 = -15*a. Is a a multiple of 5? False Let o = -32867 - -38439. Is 4 a factor of o? True Let m = -1511 - -2537. Suppose 3*o + m = 6*o. Does 9 divide o? True Let q(o) = 57*o + 92. Does 58 divide q(68)? False Suppose 0 = -9*h + 7*h + 702. Suppose -z = 2*t - 171, -h = -5*t - 4*z + 75. Suppose c + t = 2*j + 6*c, -3*c - 54 = -j. Does 16 divide j? True Suppose w = 4*y - w - 540, 0 = 5*y - 5*w - 675. Let s be 6/27 + 20/y*12. Suppose -93 = -r - g, -s*r + 32 + 153 = g. Does 13 divide r? False Let r be (-6365)/152 - 1/8. Let f = 30 - r. Does 2 divide f? True Suppose l + 5*d - 8 - 3 = 0, 5*l - 4*d - 26 = 0. Suppose -6*a - l = -9*a. Suppose -a*x + x = -87. Does 12 divide x? False Does 96 divide (504/6)/(23/736)? True Let w = -1810 + 3251. Does 7 divide w? False Let q = 6379 + -5190. Does 7 divide q? False Let v(k) = 10 + 5*k + 26 - 9. Let o be v(-11). Let l = 71 + o. Is 6 a factor of l? False Suppose 0 = 130*n - 138*n + 5352. Suppose 22*x - 17*x - 2*z - n = 0, 3*x = 4*z + 407. Is 9 a factor of x? False Let c(t) = t**3 - 4*t**2 + 12. Let l be c(8). Let u = -208 + l. Does 23 divide u? False Suppose -2*g + 14*g = -25*g + 128908. Is g a multiple of 52? True Does 210 divide 24 + -8 - 33 - -6747? False Let a be 13 + -13 + (0 - 1). Let i be a/((-6)/2)*9. Suppose -i*s + 4*s = 8. Is 6 a factor of s? False Suppose -771 = -13*z + 334. Suppose -z*x - 6348 = -91*x. Does 62 divide x? False Let z(w) = 74*w - 44. Let m be z(6). Let p(g) = -267*g**2 + 3*g + 2. Let v be p(-1). Let i = v + m. Is 22 a factor of i? True Let x = -37 + 87. Is ((-40)/x)/((-6)/1365) a multiple of 2? True Suppose -5*r - 3*c = 228, 0*r - 2*c = -2*r - 88. Let p = 64 - r. Is 3 a factor of p? False Suppose -3*b + i = -5 + 2, -5*i = 5*b - 25. Suppose -b*u = 5*u - 693. Does 11 divide u? True Suppose 5*c + 13025 = 5*n, -4*n + 2*c + 6970 = -3452. Does 4 divide n? False Let z = 46 - 22. Suppose -z = -2*c - 6*c. Suppose c*d - 4*d = -67. Does 8 divide d? False Let m(g) = g**3 + 16*g**2 + g + 16. Let d be m(-16). Let b be (-1674)/(-8) - 66/(-88). Suppose -10*a + b + 40 = d. Is 7 a factor of a? False Let y be -1*(-2 + 20)*(6 - 5). Let c be 0/(-2) + y/(-9). Suppose -3*r + 3*i = c*r - 91, 0 = -2*i - 4. Is r a multiple of 17? True Let r be 5 + 2200/(-5) + 5. Let w = 646 + r. Does 24 divide w? True Let t be ((-27)/4)/((-123)/24 + 5). Suppose 2*i + 5 = -x, 2*x + x - 2*i - 17 = 0. Suppose -2*g + 4*d = -0*g - t, 0 = x*d - 15. Does 4 divide g? False Suppose -4*b - 8738 - 11020 = -3*v, -5*b = -v + 6564. Is 6 a factor of v? True Let x = -487 - -901. Let v = x + -292. Does 25 divide v? False Suppose 130*q - 1320 - 4386 = 129*q. Does 9 divide q? True Let w be -3 - -51 - (-6 - 0). Is 42/w - 4/(-18) - -560 a multiple of 33? True Suppose 33*f = 47713 + 409601. Is 87 a factor of f? False Let a be ((3 - 0) + -13)*4/(-10). Let i(y) = 3*y**3 + 5*y**2 - 6*y + 1. Let t be i(a). Let c = -53 + t. Does 29 divide c? False Let q = 138 - 430. Let v = q + 488. Does 49 divide v? True Suppose -2861 = -17*u + 437. Suppose b + 4*n = -12, 0*n = 3*n + 12. Let w = u - b. Is w a multiple of 36? False Suppose -5*k + 6 = -2*k. Suppose -k*c - 2*c = -16. Suppose -70 = -c*x + 30. Does 5 divide x? True Let x be (-70)/(-4)*(-5 - 174/(-30)). Let i = 36 + x. Is i a multiple of 25? True Suppose 6*j = 107 - 5. Is 71 a factor of (18/8)/(((-51)/(-936))/j)? False Let q(y) = 18 - 17 - 13*y - 7 - 10. Let f be -2 - (2*4 + 2). Is q(f) a multiple of 14? True Let s(q) = 2*q**2. Let z be s(0). Suppose z = 2*k - 16 + 8. Suppose -5*l + 2*b = -118, -3*b + 84 = k*l - 2*b. Does 3 divide l? False Let s(j) = 11*j**2 - 8*j + 33. Does 44 divide s(7)? False Let t be (6/(-8))/((-4)/(-32)). Let x(j) be the second derivative of -3*j**3 - j**2/2 + 233*j. Does 9 divide x(t)? False Let n be 1153 - (442/(-78) - (-4)/6). Let o = n + -666. Is 41 a factor of o? True Let w = 109 - -196. Let y = -134 + w. Suppose 11*h = 181 + y. Is h a multiple of 5? False Let u(r) = r**3 - 3*r**2 - r - 9. Let z be u(4). Suppose -4*m - 25 + 5 = 0, 0 = z*n - m - 8. Is 21/n*5/3 a multiple of 6? False Suppose -146 + 94 = 4*b. Let h(r) = -r**3 - 13*r**2 - 21*r - 21. Does 50 divide h(b)? False Let z(p) = -7*p - 4. Let n(u) = -7*u - 4. Let f(w) = -3*n(w) + 4*z(w). Let g(c) = c + 1. Let x(r) = -f(r) - g(r). Is x(6) a multiple of 8? False Suppose 3*n = -8*n - 55. Let h be n - (5 + -12) - -4. Is 8 a factor of (81/(-6))/9*(-92)/h? False Let s(x) = x**3 + 38*x**2 - 40*x - 31. Let r be s(-39). Is 3 a factor of 122 - (-4 + 0/r)? True Suppose -3*v = -5*v + 418. Does 3 divide 6 + 35/(-6) - v/(-6)? False Let p(m) = 58*m + 10. Suppose 13*g + 5*r = 8*g, 0 = -2*r - 8. Is p(g) a multiple of 22? True Let s = 1888 + -1559. Is 47 a factor of s? True Let s(y) = -21*y + 6. Suppose 11 = -5*x - 29. Let a be s(x). Suppose 0 = -5*m + 3*t + a, 4*m = m + 2*t + 104. Is 12 a factor of m? True Suppose 0 = 5*x - 385 - 170. Let k = x - -32. Let v = k + -102. Is 10 a factor of v? False Let p be ((-12)/3 - -5) + 2. Suppose -57 - 60 = -p*s. Is s a multiple of 3? True Suppose 4041 = 5*p - 639. Is p a multiple of 104? True Let u be 3/6 - (-203)/58. Let r(b) = 5*b**3 - 6*b**2 + 17*b - 49. Does 6 divide r(u)? False Let h = -217 + 203. Let j(n) = -29*n + 163. Does 24 divide j(h)? False Let u be 5/(-30) + 3/(18/(-257)). Let n be -5 + 27/5 + u/(-5). Suppose n + 71 = f. Does 8 divide f? True Let m be -18*(-84)/144*(-8)/6. Is ((-296)/20)/((m/(-455))/(-1)) a multiple of 6? False Let o = -167 - -118. Let k = 157 + o. Is 11 a factor of k? False Suppose 164*b = 166*b + 602. Let q = 347 + b. Does 5 divide q? False Let g = 20659 + -9769. Is g a multiple of 99? True Is 2 a factor of 1/(-4) + (-265610)/(-40) + 29? False Is (-7)/2 + 211950/100 a multiple of 22? False Let z = 971 - 952. Suppose 0 = 2*n - 3*n + 975. Suppose -z*o = -4*o - n. Is o a multiple of 5? True Does 8 divide (234873540/143)/54 - (2 - 24/13)? True Let p(z) = 10*z**2 + 3*z + 10. Let a be 1*((-30)/(-6) + 0). Is 11 a factor of p(a)? True Suppose i = 4*a + 977, 1156 = -2*i + 3*a + 3135. Let j = i - 745. Is 42 a factor of j? True Suppose 994*j - 79548 = 973*j. Does 15 divide j? False Let i = -262 - -262. Suppose 7*l - 4*l = 12. Suppose -2*a + 150 = l*g, a - 76 = -i*a - g. Is a a multiple of 11? True Let d = -62 - -65. Suppose -2*b + 155 = -3*f, -b - 165 = d*f - 4. Let y = f + 98. Is y a multiple of 10? False Let y = -72 + 45. Let f = y - -211. Is f a multiple of 23? True Suppose -d = -5*z + 44, -2*z = 3*z + d - 36. Let q = z - -142. Is 6 a factor of q? True Let z be (3 - -51)*(44/(-12) - -3). Let a be 6/(-14) + (z/21)/(-4). Suppose -8*d + 164 - 4 = a. Does 5 divide d? True Let k be (4 + 540/(-8))/((-1)/(-2)). Does 9 divide 48/8 - (k - 2)? True Suppose -97*b = -283627 - 176444. Is b a multiple of 93? True Let m = 2983 + -1943. Is 8 a factor of m? True Let v be -4 + (-330)/21 + 2/(-7). Does 32 divide (1024/v)/((-18)/45)? True Let w(l) = 945*l**2 + 16*l - 4. Is 15 a factor of w(4)? True Let j = -655 - -623. Suppose -4*o - 23 - 1 = 0. Does 2 divide (-152)/j + o/8? True Suppose 3*a - 7*a - 4*f = 12, -3*a - 2*f = 6. Suppose 2*v - 301 = 5*c - 1373, -5*c - 4*v + 1096 = a. Is c a multiple of 18? True Does 28 divide 5388 + (-16 - (12 + -17))? False Let u = -26 + 29. Suppose 3*y + 5*g = 0, u*y - 6*g = -g. Suppose y*k - 3*k + 26 = -2*i, 4*k
{ "pile_set_name": "DM Mathematics" }
**2 + 10532*b**2*c - 452*b*c**3 - 2*b*c**2 + 288*b*c - 46 wrt b. 28*c**3 - 334*c**2 + 21064*c Find the first derivative of 96*r**4 + 7197*r**3 + 3384928 wrt r. 384*r**3 + 21591*r**2 Find the first derivative of 3417692*i*j + 520*i + 17 wrt j. 3417692*i Find the third derivative of -n*o**3*q + 172842*n*o**3 - 3*n*o**2*q**2 + 112*n*o**2 + 2*o**3*q**2 + 6*o**2*q**2 - o*q**2 - 1367*q**2 wrt o. -6*n*q + 1037052*n + 12*q**2 Find the second derivative of -2516720*j**3*l - 2*j**3 + 3*j**2*l + 3*j**2 + 3*j*l + 52*j + 1882*l + 1 wrt j. -15100320*j*l - 12*j + 6*l + 6 Find the second derivative of -2990810*u**2*y**3 + 38*u**2*y + 4*u*y**3 - 5*u*y**2 - 2*y**3 + 2*y**2 + 17828*y wrt u. -5981620*y**3 + 76*y What is the third derivative of 5998592*d**3 - 15481597*d**2? 35991552 Find the second derivative of l**4 - 13*l**3 + 18720*l**2 - 6557998*l wrt l. 12*l**2 - 78*l + 37440 What is the derivative of 4*l**3*v - 12153*l**2*v - 1620*l*v + 14713630*v + 17 wrt l? 12*l**2*v - 24306*l*v - 1620*v What is the second derivative of -2*a**5*o**2 - 712156*a**5 + 28*a*o**2 - 2*o**2 - 24717*o wrt a? -40*a**3*o**2 - 14243120*a**3 Differentiate -8005992*q + 3249937 with respect to q. -8005992 What is the second derivative of -1080*y**4 + 2*y**3 - y**2 - 4070777*y - 1? -12960*y**2 + 12*y - 2 What is the third derivative of 16590622*y**3 + 110*y**2 - 37*y + 144? 99543732 Find the first derivative of 109*i**2*j - i**2 - i*j + 556*i + 15946794*j wrt i. 218*i*j - 2*i - j + 556 What is the derivative of 31121273*j*u + 54794712*j - 3*u + 5 wrt u? 31121273*j - 3 Find the third derivative of -65*f**3*t**3 + f**3*t - 99*f**3 - f**2*t**3 - 62485*f*t**3 + 517*f*t - t**2 + 2 wrt t. -390*f**3 - 6*f**2 - 374910*f Find the second derivative of -10*f**4 + f**3 + 61281*f**2 + 1505*f + 187 wrt f. -120*f**2 + 6*f + 122562 Differentiate -6*q*v**3 + 4941377*q - 154396*v**4 with respect to v. -18*q*v**2 - 617584*v**3 Find the third derivative of 9946113*c**6 + 34539090*c**2 wrt c. 1193533560*c**3 Find the third derivative of -54107*g**4*u**2 + 264*g**3*u - 153*g**2 - g*u**2 + 182854*u wrt g. -1298568*g*u**2 + 1584*u What is the second derivative of 8703634*s**3 - 2446226*s? 52221804*s Differentiate 13433851*a**3 - 13025938 wrt a. 40301553*a**2 What is the second derivative of -25*l**4 + 3*l**3 + 82497*l**2 + 16585*l + 694? -300*l**2 + 18*l + 164994 Differentiate 1857220*f**3 - 4*f**2 + 37*f - 1445531248. 5571660*f**2 - 8*f + 37 Differentiate 156*j**2*q**2 + 2*j**2*q + 2379*j*q - 1012*q**2 - 1124*q - 2 wrt j. 312*j*q**2 + 4*j*q + 2379*q Find the third derivative of -11*r**4*u - 4279403*r**3*u**3 - 4455*r**2 - 5*r + 29*u**3 + 3*u**2 wrt r. -264*r*u - 25676418*u**3 What is the third derivative of -163952610*j**3*l**2 + 2*j**2*l - 766*j*l - 9033*l**2 wrt j? -983715660*l**2 Find the third derivative of -67*b*u**2*y**2 + 1997*b*u**2 + 31311*b*y**3 + 4967*u**2*y**3 - 5*u wrt y. 187866*b + 29802*u**2 What is the second derivative of -241480187*t**3 + 322*t - 108528? -1448881122*t Find the second derivative of -5103956*u**3 - 11911588*u wrt u. -30623736*u What is the derivative of 86011894*y**3 + 187434123? 258035682*y**2 What is the third derivative of 7*k**5 + 149276*k**4 + 16*k**2 + 4826*k - 1? 420*k**2 + 3582624*k What is the third derivative of -2*u**4 - 486833329*u**3 + 10217*u**2 + 11583*u wrt u? -48*u - 2920999974 What is the third derivative of -308232226*r**3 + 6140*r**2 - 2834? -1849393356 Find the third derivative of -305*k**5 - 3868*k**4 + 4*k**3 + 28485849*k**2 wrt k. -18300*k**2 - 92832*k + 24 What is the first derivative of -243*d**2*z**3 + 19334*d**2*z + d*z**3 + 14262*z**3 - 688*z wrt d? -486*d*z**3 + 38668*d*z + z**3 Find the second derivative of -107*a*o**4 - 56777*a*o**2 + 9853*a*o + 4*a + 60 wrt o. -1284*a*o**2 - 113554*a What is the second derivative of -55*i**3 + 203991*i**2 - 101870*i - 2? -330*i + 407982 Find the third derivative of 4255336*h**3 + 10712989*h**2 wrt h. 25532016 Find the first derivative of -2*f*m**2 - 11266*f*m + 5954*f + 303012393*m**2 wrt f. -2*m**2 - 11266*m + 5954 What is the second derivative of 2*a*g**2*q + a*g**2 + 7*a*g*q + 92*a*q - 212827*g**2 - 1248*g*q wrt g? 4*a*q + 2*a - 425654 What is the third derivative of -36339*l**4 + 128*l**3 + 8831244*l**2? -872136*l + 768 What is the third derivative of 12*j**5 + 4530*j**4 + 11*j**3 - 4880*j**2 + 561? 720*j**2 + 108720*j + 66 What is the third derivative of -14248957*u**3 - 5*u**2 - 11866*u - 25? -85493742 What is the third derivative of -148037*m**5 + 60*m**4 + 2*m**3 + 14*m**2 - 3999443? -8882220*m**2 + 1440*m + 12 What is the third derivative of 4184096*b**2*m**3 + 468*b**2*m - b*m**2 - 438*b wrt m? 25104576*b**2 What is the third derivative of 2*t**4 - 723562116*t**3 + 100523*t**2 - 78*t + 2? 48*t - 4341372696 Differentiate -19853231*o**2 + 27249608. -39706462*o What is the second derivative of -s**4 + 2*s**3 - 68693*s**2 + 1131*s + 4042 wrt s? -12*s**2 + 12*s - 137386 Find the second derivative of 7*q**3 + 438081*q**2 - 4548804*q. 42*q + 876162 Find the second derivative of 19623354*f**3 - 3*f**2 + 31523642*f + 4 wrt f. 117740124*f - 6 Differentiate -223791683*k**4 + 112523290 with respect to k. -895166732*k**3 Differentiate 275083*f**3*u + 3*f**3 + 656439*f**2 + f wrt u. 275083*f**3 What is the derivative of 1062285205*h*n**2 - 102*n**2 - 1884855 wrt h? 1062285205*n**2 What is the third derivative of -3918808*j**4 - 37*j**3 - 125*j**2 + 62894 wrt j? -94051392*j - 222 Find the second derivative of -2*l**3 + 1286035*l**2 + 18473823*l wrt l. -12*l + 2572070 Find the third derivative of -304906831*m**4 - 5751*m**2 + 7772*m + 2. -7317763944*m Find the second derivative of 3550967*v**2*w + v*w - 8*v + 2*w - 3157 wrt v. 7101934*w Differentiate -4*u*z**3 + 1852732*u*z - 3*z**3 + 49*z**2 - 18*z + 26 wrt u. -4*z**3 + 1852732*z Find the third derivative of 11290806*u**3 - 3130*u**2 + 150*u. 67744836 Find the third derivative of 70189545*b*r*s**3 + 3*b*r*s**2 + 9*b*r*s + b*s**2 + b*s + 305*b + 9*r*s**2 wrt s. 421137270*b*r What is the third derivative of 608035*f**4 - 5*f**3 - 1363701*f**2 + 2*f? 14592840*f - 30 What is the second derivative of -6702092*g**2 + 4114492*g wrt g? -13404184 Differentiate 4*w**2 + 420865*w + 17812686 wrt w. 8*w + 420865 What is the derivative of -76007*d**3*n*r + 5*d**2*n - 269814*n*r + 6*r wrt d? -228021*d**2*n*r + 10*d*n Differentiate 4*j*x**2 + 2*j*x + 60451194*j + 32*x**2 - 27319*x with respect to x. 8*j*x + 2*j + 64*x - 27319 What is the third derivative of -384*l*s*v**4 + 92*l*s*v - 5*l*s - 537*l*v**4 + 12*l*v**2 - s*v**3 - 5*s*v**2 - s - 2 wrt v? -9216*l*s*v - 12888*l*v - 6*s Find the third derivative of 408348*p**4 - 3*p**2 - 58424*p wrt p. 9800352*p Find the third derivative of 203531*f*o**4 + 11*f*o**3 - 3013*f*o**2 + 2461*f*o - 2*o**4 wrt o. 4884744*f*o + 66*f - 48*o Differentiate -7547*b**4 - 10*b**3 - 171*b**2 + 42504052 wrt b. -30188*b**3 - 30*b**2 - 342*b Find the first derivative of 84815617*m**2 + 47116706 wrt m. 169631234*m What is the first derivative of 962178895*i + 591226521? 962178895 What is the first derivative of -88155507*d**2*x + 64002*d**2 - 149*d + 1 wrt x? -88155507*d**2 Find the first derivative of -574981832*n + 184516986 wrt n. -574981832 What is the second derivative of 20*f**4 - 100835*f**3 - 2*f**2 + 36492678*f wrt f? 240*f**2 - 605010*f - 4 What is the first derivative of -n**2 - 1531008*n - 97312302 wrt n? -2*n - 1531008 What is the second derivative of -23159*m**3*u**3 + 1310678*m**3*u + 42*m**3 + 197*m*u**3 wrt u? -138954*m**3*u + 1182*m*u Differentiate -313116494*c**3 + 263400146. -939349482*c**2 What is the third derivative of 13831534*r**4 + 152*r**2 + 5301*r + 4 wrt r? 331956816*r What is the derivative of -2*t**4 + 33882785*t**3*x**2 - 30827404*x**2 - 2 wrt t? -8*t**3 + 101648355*t**2*x**2 What is the derivative of -25189*f*i + 34535232*f + 3*i**3 - 104*i wrt i? -25189*f + 9*i**2 - 104 Differentiate -8570948*l + 8617060. -8570948 Find the third derivative of -n**6 - 41366078*n**5 + 40986370*n**2 wrt n. -120*n**3 - 2481964680*n**2 What is the second derivative of -2*p**5 - 69491*p**4 - 45*p**3 + 1568462*p - 1 wrt p? -40*p**3 - 833892*p**2 - 270*p Find the first derivative of 11199813*n**3 - 10472443. 33599439*n**2 What is the derivative o
{ "pile_set_name": "DM Mathematics" }
9, -885, -1057, -1225, -1389? 2*f**2 - 186*f - 345 What is the o'th term of -70, -289, -566, -829, -1006, -1025, -814, -301? 12*o**3 - 101*o**2 + 19 What is the i'th term of -50, -192, -424, -746? -45*i**2 - 7*i + 2 What is the i'th term of 60, -62, -260, -528, -860, -1250, -1692, -2180? i**3 - 44*i**2 + 3*i + 100 What is the m'th term of 565, 1078, 1591, 2104, 2617, 3130? 513*m + 52 What is the d'th term of -65, -172, -277, -380, -481? d**2 - 110*d + 44 What is the r'th term of -51133, -102315, -153513, -204733, -255981, -307263? -r**3 - 2*r**2 - 51169*r + 39 What is the a'th term of -32, -36, -6, 58, 156, 288, 454? 17*a**2 - 55*a + 6 What is the a'th term of -11, 9, 37, 79, 141, 229? a**3 - 2*a**2 + 19*a - 29 What is the r'th term of 95, 201, 355, 551, 783, 1045? -r**3 + 30*r**2 + 23*r + 43 What is the z'th term of -649, -2566, -5757, -10222, -15961, -22974, -31261? -637*z**2 - 6*z - 6 What is the k'th term of -17710, -17704, -17698? 6*k - 17716 What is the w'th term of 1177, 2346, 3525, 4720, 5937, 7182, 8461? w**3 - w**2 + 1165*w + 12 What is the j'th term of -185, -665, -1145? -480*j + 295 What is the b'th term of -111, 0, 109, 222, 345, 484, 645? b**3 - 7*b**2 + 125*b - 230 What is the g'th term of -19, -108, -265, -490, -783, -1144? -34*g**2 + 13*g + 2 What is the z'th term of 183197, 366383, 549569, 732755? 183186*z + 11 What is the z'th term of -825825, -825814, -825803, -825792, -825781? 11*z - 825836 What is the s'th term of -9328, -37310, -83926, -149158, -232988, -335398, -456370? 3*s**3 - 9335*s**2 + 2*s + 2 What is the f'th term of -1251, -2491, -3695, -4845, -5923, -6911, -7791? 3*f**3 - 1261*f + 7 What is the g'th term of 144, 63, -74, -267, -516? -28*g**2 + 3*g + 169 What is the n'th term of -466, -695, -924, -1153? -229*n - 237 What is the t'th term of -1718, -2117, -2516, -2915? -399*t - 1319 What is the i'th term of 18804, 37727, 56672, 75651, 94676, 113759? 2*i**3 - i**2 + 18912*i - 109 What is the a'th term of -424867, -849732, -1274597, -1699462? -424865*a - 2 What is the l'th term of -1766, -3651, -5536, -7421, -9306, -11191? -1885*l + 119 What is the d'th term of -11788, -23479, -35168, -46855, -58540? d**2 - 11694*d - 95 What is the u'th term of 35370, 70733, 106096, 141459, 176822, 212185? 35363*u + 7 What is the d'th term of 227, 786, 1699, 2972, 4611, 6622, 9011? d**3 + 171*d**2 + 39*d + 16 What is the r'th term of 6167, 12335, 18503, 24671? 6168*r - 1 What is the f'th term of 15, -15, -103, -279, -573? -5*f**3 + f**2 + 2*f + 17 What is the m'th term of -67411, -134823, -202235, -269647? -67412*m + 1 What is the w'th term of -71203, -71188, -71153, -71092, -70999, -70868, -70693? w**3 + 4*w**2 - 4*w - 71204 What is the i'th term of -74, -236, -506, -896, -1418, -2084? -2*i**3 - 42*i**2 - 22*i - 8 What is the g'th term of 160, 219, 280, 343, 408, 475? g**2 + 56*g + 103 What is the r'th term of 32538, 65078, 97618? 32540*r - 2 What is the x'th term of 8072, 16127, 24160, 32165, 40136? -x**3 - 5*x**2 + 8077*x + 1 What is the z'th term of -382433, -382441, -382453, -382469, -382489? -2*z**2 - 2*z - 382429 What is the r'th term of -1669, -3401, -5169, -6973, -8813, -10689? -18*r**2 - 1678*r + 27 What is the y'th term of 101488, 202975, 304462? 101487*y + 1 What is the g'th term of -1056, -1856, -2646, -3426, -4196, -4956, -5706? 5*g**2 - 815*g - 246 What is the y'th term of 60, 205, 456, 831, 1348? 3*y**3 + 35*y**2 + 19*y + 3 What is the u'th term of 56, 120, 214, 332, 468, 616, 770? -u**3 + 21*u**2 + 8*u + 28 What is the g'th term of 5922869, 5922865, 5922851, 5922821, 5922769, 5922689, 5922575? -g**3 + g**2 + 5922869 What is the r'th term of -1555, -1631, -1695, -1747, -1787? 6*r**2 - 94*r - 1467 What is the d'th term of 36, 186, 478, 966, 1704, 2746, 4146? 9*d**3 + 17*d**2 + 36*d - 26 What is the c'th term of 1096, 1142, 1188, 1234, 1280, 1326? 46*c + 1050 What is the m'th term of 5295, 10542, 15789, 21036, 26283, 31530? 5247*m + 48 What is the a'th term of 342652, 342645, 342638, 342631, 342624, 342617? -7*a + 342659 What is the m'th term of -10006, -20018, -30030? -10012*m + 6 What is the n'th term of -332, -705, -1102, -1529, -1992, -2497, -3050? -n**3 - 6*n**2 - 348*n + 23 What is the m'th term of 207, -686, -2175, -4260? -298*m**2 + m + 504 What is the j'th term of 213, 273, 333? 60*j + 153 What is the j'th term of -26, -124, -296, -578, -1006, -1616, -2444? -6*j**3 - j**2 - 53*j + 34 What is the t'th term of -66413, -132821, -199229, -265637, -332045? -66408*t - 5 What is the y'th term of 16441, 16441, 16433, 16411, 16369? -y**3 + 2*y**2 + y + 16439 What is the j'th term of 2298, 4592, 6876, 9150, 11414? -5*j**2 + 2309*j - 6 What is the q'th term of 24909, 24928, 24949, 24972? q**2 + 16*q + 24892 What is the t'th term of -2853, -5453, -8053, -10653, -13253? -2600*t - 253 What is the d'th term of 230, 475, 806, 1265, 1894, 2735, 3830, 5221? 7*d**3 + d**2 + 193*d + 29 What is the g'th term of 5349, 5290, 5229, 5166, 5101, 5034, 4965? -g**2 - 56*g + 5406 What is the a'th term of -18963, -19009, -19055? -46*a - 18917 What is the i'th term of 19162, 19145, 19132, 19123? 2*i**2 - 23*i + 19183 What is the j'th term of 140, 273, 378, 443, 456, 405, 278? -2*j**3 - 2*j**2 + 153*j - 9 What is the z'th term of 49612, 49639, 49662, 49681? -2*z**2 + 33*z + 49581 What is the y'th term of 13931, 55723, 125377, 222893, 348271? 13931*y**2 - y + 1 What is the z'th term of -2538, -4973, -7408, -9843, -12278, -14713? -2435*z - 103 What is the m'th term of 10119, 20237, 30355? 10118*m + 1 What is the q'th term of 123, 112, 91, 48, -29, -152? -2*q**3 + 7*q**2 - 18*q + 136 What is the z'th term of 98, 80, 50, 8, -46? -6*z**2 + 104 What is the m'th term of -51, -106, -173, -270, -415, -626, -921, -1318? -3*m**3 + 12*m**2 - 70*m + 10 What is the y'th term of 137, 132, 113, 74, 9, -88, -223, -402? -y**3 - y**2 + 5*y + 134 What is the h'th term of 320, 339, 346, 335, 300, 235, 134? -h**3 + 26*h + 295 What is the x'th term of -54, -261, -636, -1185, -1914, -2829, -3936? -x**3 - 78*x**2 + 34*x - 9 What is the b'th term of 15631, 31191, 46751, 62311, 77871? 15560*b + 71 What is the w'th term of -69, -297, -689, -1251, -1989, -2909, -4017? -w**3 - 76*w**2 + 7*w + 1 What is the a'th term of -18400, -36797, -55206, -73633, -92084? -a**3 - 18390*a - 9 What is the x'th term of 111386, 222771, 334156, 445541, 556926, 668311? 111385*x + 1 What is the m'th term of -560, -334, -50, 322, 812, 1450? 5*m**3 - m**2 + 194*m - 758 What is the z'th term of -279, -229, -155, -45, 113? 2*z**3 + 36*z - 317 What is the a'th term of 85471, 341882, 769233, 1367524, 2136755, 3076926, 4188037? 85470*a**2 + a What is the d'th term of -8714107, -8714106, -8714105, -8714104, -8714103, -8714102? d - 8714108 What is the r'th term of 8763, 9337, 9887, 10401, 10867? -2*r**3 + 588*r + 8177 What is the y'th term of -199, -1016, -3173, -7324, -14123? -109*y**3 - 16*y**2 - 6*y - 68 What is the i'th term of 50101, 50118, 50135, 50152, 50169? 17*i + 50084 What is the w'th term of 625, 853, 1081, 1315, 1561, 1825, 2113? w**3 - 6*w**2 + 239*w + 391 What is the j'th term of -24589, -24588, -24575, -24544, -24489? j**3 - 6*j - 24584 What is the m'th term of -18, -43, -94, -183, -322, -523, -798, -1159? -2*m**3 - m**2 - 8*m - 7 What is the a'th term of -134096, -134107, -134134, -134183, -134260, -134371? -a**3 - 2*a**2 + 2*a - 134095 What is the u'th term of -70799, -70797, -70795, -70793? 2*u - 70801 What is the b'th term of 5715, 5684, 5667, 5670, 5699? b**3 + b**2 - 41*b + 5754 What is the o'th term of -2222, -5562, -8900, -12236, -15570, -18902, -22232? o**2 - 3343*o + 1120 What is the g'th term of 2553816, 5107634, 7661452? 2553818*g - 2 What is the q'th term of 2108, 4243, 6368, 8477, 10564? -q**3 + q**2 + 2139*q - 31 What is the z'th term of 1514, 6063, 13646, 24263, 37914, 54599? 1517*z**2 - 2*z - 1 What is the a'th term of -803, -3264, -7361, -13088, -20439, -29408? a**3 - 824*a**2 + 4*a + 16 What is the g'th term of -364745, -364739, -364729, -364715? 2*g**2 - 364747 What is the y'th term of 922, 936, 950? 14*y + 908 What is the s'th term of 617, 2479, 5581, 9923, 15505, 22327? 620*s**2 + 2*s - 5 What is the r'th term of 4010, 8033, 12056, 16079, 20102, 24125? 4023*
{ "pile_set_name": "DM Mathematics" }
3468 plus -4? -3.976532 Add -396 and -327. -723 What is -566.98 minus -0.28? -566.7 What is the difference between 141.78 and 0.1? 141.68 What is -0.6 plus 574? 573.4 What is -1637 minus 76? -1713 Total of -6.1 and -6982. -6988.1 What is the difference between -1 and 153962? 153963 What is 0.4 + -4328? -4327.6 -15 - -112 97 Calculate 0.0120208 + -5. -4.9879792 Subtract 240304 from -3. -240307 Calculate 0.1 + 20.5. 20.6 Sum 431.74 and -0.5. 431.24 Put together 140825 and 0. 140825 What is 3 less than -50440? -50443 -0.35 - 0.42 -0.77 Put together -1.3 and 1.8557. 0.5557 Work out 3.4 + -10456. -10452.6 What is -2.542874 - -0.5? -2.042874 -28+-270335 -270363 -266.6 - 50 -316.6 109 - 38.6 70.4 50981 + 0.5 50981.5 Work out -1 - 33.043. -34.043 Calculate 1.11 + -908.8. -907.69 Put together 5.1563 and -5. 0.1563 Calculate 39.24 - 0. 39.24 What is 1 take away 5.55? -4.55 What is -0.4415 take away -0.3? -0.1415 Work out -14604 - 1. -14605 What is -18 + 129? 111 Work out 0.1909 - -0.05. 0.2409 Add -0.1995 and -4. -4.1995 Sum -0.1328 and 0.07. -0.0628 32.24+-0.4 31.84 1+0.1 1.1 Put together -821 and 3. -818 Sum -1007 and 0.004. -1006.996 What is -0.2 less than 0.957517? 1.157517 -104294+-2 -104296 What is the distance between 1 and 136312? 136311 What is the distance between 0.2 and 18.411? 18.211 What is -1544 + 9.7? -1534.3 Add 339646 and -4. 339642 What is 3 take away 8483? -8480 What is -3521.3 + -9? -3530.3 Subtract -1 from -530.67. -529.67 Put together 53556 and 2.4. 53558.4 What is the distance between -390.1 and -4? 386.1 What is the difference between 3656 and 22? 3634 -10 - 8.73461 -18.73461 Sum 154909.4 and 0.2. 154909.6 Work out 0.4 + -675740. -675739.6 0.1+1899884 1899884.1 Calculate 33 - -693.7. 726.7 3+-521.3 -518.3 What is 4.32 minus -0.05? 4.37 Put together -0.1 and -10.1. -10.2 What is 26.2 - 0.24? 25.96 Work out 7054.1 + -0.3. 7053.8 Total of 108.44 and 0.6. 109.04 Add together 139.99 and 102. 241.99 What is -60 - -115? 55 What is 44 - 0.318? 43.682 Subtract 0.1 from -199.65. -199.75 Total of 1 and -1172. -1171 -2+2582 2580 Calculate 4719 + 915. 5634 What is 2.36 - 1092? -1089.64 What is -3.9 - -0.8? -3.1 -11730.09+13 -11717.09 Calculate 2981746 + 1. 2981747 Work out 6.3578 - -0.2. 6.5578 Subtract 7 from -33.5. -40.5 -0.3+-15016 -15016.3 Calculate 100 - -0.117. 100.117 What is -8 take away -1.658? -6.342 What is the distance between 281.18 and -0.1? 281.28 What is 5 less than 76291.6? 76286.6 What is the difference between 0.0178 and 4? 3.9822 Total of -0.4 and 640. 639.6 -499427+-7 -499434 Calculate -94054 + -0.02. -94054.02 Put together 170 and -92. 78 Sum -0.7 and -2.44. -3.14 Add 0.2 and -0.02808. 0.17192 What is 0.161 plus -0.08? 0.081 What is -9 less than -482? -473 Put together 0 and 78.1. 78.1 Sum 1.3083 and 0.023. 1.3313 What is the distance between 4616 and 5? 4611 -0.0097 + 18.9 18.8903 What is -17736 - 0.3? -17736.3 -10666 - 0.2 -10666.2 What is 5 take away 64.3654? -59.3654 What is -2507651 less than -4? 2507647 Add -1.35 and 1.336. -0.014 -0.2 - 1.49986 -1.69986 Sum -2.7 and -270.4. -273.1 What is -0.37 less than 4733? 4733.37 Work out -13064 + 13. -13051 Work out -74.9 - -35. -39.9 248 - 1137 -889 -0.224+1.504 1.28 What is 178 take away 230.9? -52.9 Work out -27 - -52. 25 Work out -130 + -0.04. -130.04 Total of 0.4 and 419. 419.4 Subtract 0.077 from -210. -210.077 Sum 0.1 and -0.722. -0.622 Calculate -617 - 0.2. -617.2 What is the distance between 0 and 9.7207? 9.7207 307+2.332 309.332 Subtract -6.3 from -8.2. -1.9 Calculate 119.07 + -31. 88.07 -36 + 75 39 Subtract -3.168 from -70. -66.832 Calculate 32 + -22. 10 What is 3.3004 + -38? -34.6996 Work out 0.1357 - -8. 8.1357 Total of 0 and 48.5. 48.5 What is 3685 plus 0.2? 3685.2 What is -0.29345 less than -1.2? -0.90655 What is 0.3 plus 39082? 39082.3 What is the distance between -1931 and 12.5? 1943.5 What is -1 less than 0.643546? 1.643546 What is 0.47 - -0.1203? 0.5903 -31 - 0.469 -31.469 Work out 553275 - -1. 553276 What is the distance between 0.036 and 2552? 2551.964 4+712 716 Calculate 0.1 + -7087.9. -7087.8 What is 2.5 less than -0.041? -2.541 What is the difference between 0.003 and 17? 16.997 Work out -0.02169 + 2. 1.97831 What is the distance between 74591 and -1.1? 74592.1 Subtract 6 from -0.03631. -6.03631 Work out -9.81 - 28. -37.81 What is -84 take away 0.23915? -84.23915 Total of -78416 and 0.016. -78415.984 Calculate -34043 + -25. -34068 -0.11 - -529930 529929.89 What is -3 minus 0.042745? -3.042745 Subtract 0.6 from 35.997. 35.397 Work out -3.7 - 7. -10.7 Work out 0.7 - -5.0011. 5.7011 Work out 3.00284 + 0.07. 3.07284 Work out 0.4 - 110176. -110175.6 Subtract -2.9 from -198. -195.1 What is -55 take away 62? -117 Subtract -0.1 from 22.68. 22.78 Work out -16 + -0.0632. -16.0632 -0.098 - 0.6 -0.698 Total of -1607 and 0.32. -1606.68 What is -0.4 take away -6.11609? 5.71609 Put together 125 and 5.9. 130.9 What is -0.096 take away 0.1? -0.196 What is the difference between 0.431 and 0.3? 0.131 Work out -9.33 - -2.74. -6.59 What is 0.5 minus 32281? -32280.5 What is 0.83279 - 0.2? 0.63279 Subtract 163600 from -5. -163605 What is 0.380504 - -3? 3.380504 What is -52.93 take away 1? -53.93 -27.25 + -624 -651.25 Put together 46211 and -2. 46209 What is 3 plus 211? 214 Total of -6 and -0.83. -6.83 What is -0.3 + -1.469? -1.769 Calculate 5 + -1146. -1141 What is the difference between -4 and -202454? 202450 Calculate -552.6 - 4. -556.6 Calculate -1728 - -0.2. -1727.8 Work out 1.1672 - 2. -0.8328 Total of -0.12 and -2017. -2017.12 What is 0.02 minus 50076? -50075.98 What is 0 less than -738? -738 Work out -0.5 + 15.6774. 15.1774 What is 0.09 minus 4528? -4527.91 What is 19 less than 0.3772? -18.6228 Add together -3 and 2837. 2834 What is the difference between -1.6 and -4083? 4081.4 Add together -5275.06 and 5. -5270.06 What is -7186 less than 40.9? 7226.9 Add together -6 and 49728. 49722 What is 0.4 less than 596774? 596773.6 -0.5 + -14650 -14650.5 Calculate -27853.2 - -1. -27852.2 Work out 0.01 + -163.3. -163.29 What is -0.04 take away 44? -44.04 Work out 4 - -235. 239 Add 33 and -7607. -7574 -1 - -43.4 42.4 Work out 8579921 - 5. 8579916 What is -0.0651 - -1? 0.9349 Subtract 0.2 from 5570. 5569.8 Subtract -1 from -8.738. -7.738 Work out 13487 - 0.2. 13486.8 What is -3 - 8.74? -11.74 -25399 - -14 -25385 Sum -6825 and -0.1. -6825.1 What is -8 + -0.772784? -8.772784 What is -7.6 + 0.072? -7.528 Calculate 11.316 - 0.4. 10.916 Work out 49 + -0.5. 48.5 What is -0.1 less than 30.419? 30.519 What is -31 less than -36446? -36415 What is -0.08 plus -44028? -44028.08 -1591 + -1 -1592 What is 1.4 less than -0.4? -1.8 Calculate -13 + -2. -15 Calculate 1.2 + -0.143146. 1.056854 What is the distance between -15.745 and 1? 16.745 82.8382 - -0.1 82.9382 Add -5 and -366745. -366750 What is the difference between -31 and -93? 62 Work out -359956 + 0.24. -359955.76 What is -0.0758126 less than 2? 2.0758126 What is -5698 plus 0.0103? -5697.9897 -3 - 324459 -324462 Calculate 1.8 + 5.4. 7.2 What is the distance between 53.808 and 4? 49.808 Calculate -0.4 - -4.4. 4 Add -1.78 and 2179. 2177.22 What is 668 less than -0.3? -668.3 7 - 663 -656 What is -1.6 take away 0.0568? -1.6568 What is -0.5 + 20229? 20228.5 What is the distance between 0.0662 and -3.3? 3.3662 What is 12.73 plus -1.2? 11.53 -461547 + 4 -461543 Sum 16.615 and 0.0243. 16.6393 3 + 173951 173954 What is -9459 plus -2.215? -9461.215 Put together -20.6 and 16. -4.6 What is 109.8 take away -2037? 2146.8 0.235 + 687 687.235 What is the difference between 757 and 0.076? 756.924 Sum -0.2 and -0.22473. -0.42473 Work out -0.07 + 2454. 2453.93 -1.03+-0.09 -1.12 What is 0.04 + 4463? 4463.04 Put together -0.7 and 26. 25.3 Put together 0.2266 and -1901. -1900.7734 What is -1.3344 + 40? 38.6656 What is 0.1 plus -0.156? -0.056 2.426 - 3.9 -1.474 Total of -5 and 16032. 16027 Put together -8 and -7608. -7616 What is -4832845 + 0.2? -4832844.8 Sum -51.08 and -18. -69.08 What is -0.2 + 289? 288.8 What is the distance between 941.8 and 85? 856.8 0.1 - 0.0032 0.0968 What is 0.4 - 11853.03? -11852.63 Calculate 38 + 0.059. 38.059 Put together 3944 and 5. 3949 Sum -14 and -12490. -12504 What is 0.00514 less than 16? 15.99486 Subtract -0.2 from -2.6
{ "pile_set_name": "DM Mathematics" }
in 2/25, y, m? m Suppose -4*o + 5*w = -128, 4*o - w - 2*w - 120 = 0. Let u be ((-24)/(-36))/((-2)/o). Let l be (-6)/(-38)*6/u. What is the second smallest value in l, 1/6, 1? 1/6 Let g be -4 - (177580/8878)/(-5). Let y = g - -572627/8878. Let x = y - 66. What is the third biggest value in x, 5, 3? x Let z = -0.22 - -0.54. Let s = z - 0.32. Which is the third smallest value? (a) -0.2 (b) -3 (c) s c Suppose 5*r - 29 = -39. Let w = 2 + -3. Which is the second smallest value? (a) 1/4 (b) w (c) r b Let y = 299 - 324.4. Let i = y + 25. What is the third smallest value in 2/5, -4, 4, i? 2/5 Let p = 2.4 - 2. Let f = 2.7 + 0.9. Let y = f - 3.8. Which is the second smallest value? (a) 3 (b) p (c) y b Let x = -4.2 - 0.8. Which is the smallest value? (a) 4 (b) 5 (c) 2/39 (d) x d Let p = -5 - 0. Let r = 3.46 + -2.96. Which is the biggest value? (a) 5 (b) 0.1 (c) p (d) r a Let j = 24 - 19. Let k = 4 - j. Which is the biggest value? (a) k (b) -10 (c) -0.3 c Let a = -0.1589 - -0.0589. Let m = 0 + 0. What is the fourth smallest value in -1/2, -0.3, a, m? m Let p = 35.419 - -0.181. Let l = p - 36. Let x = 2 - 5. Which is the third smallest value? (a) x (b) l (c) 0 c Suppose -3*h - 5*p + 20 = -19, 5*h + 2*p - 46 = 0. Suppose -h*w + 15 = -3*w. Which is the third smallest value? (a) w (b) 0 (c) -6 a Let s = -0.257 - -0.307. Let a = -0.8 + 0.3. What is the smallest value in s, 0.1, 1, a? a Suppose 0*x + 5*z + 4 = -4*x, 0 = 4*z + 16. Suppose x*u + 3*y - 6*y = 8, 0 = y - 4. Which is the third biggest value? (a) u (b) -2 (c) -9 (d) -0.5 b Let h = 0.15 + 2.85. Let v = 23.8 - 24. Which is the smallest value? (a) h (b) 4 (c) v c Let z(c) = -c**3 - 2*c**2 + 6*c + 4. Let l be z(-4). Let h = l + -6. Let a be 3 - 2/1 - h. What is the third smallest value in -1, a, 1? 1 Let h = -3.4 + 3. Let k = 1.98 - -0.02. Let o = k - 2.2. Which is the third smallest value? (a) o (b) -4 (c) h a Let l = -18 + 18.7. Let b = l + -0.7. Let s be 4/(-30) - (-406)/(-105). What is the third biggest value in -3, s, b? s Let s = 2.5 - 3. Let f = 101.2 - 101. Let k = -1 - 1. Which is the third smallest value? (a) k (b) s (c) f c Let y(r) = r**2 + 4*r - 46. Let d be y(5). Let h = -8 - -13. Which is the second biggest value? (a) h (b) d (c) 4 c Let z = -23.2 + 25. Let u = -5.8 + z. Let p = 46 - 41. Which is the third smallest value? (a) 0.4 (b) u (c) p c Let q(v) = -14*v - 57. Let f be q(-4). Which is the second smallest value? (a) f (b) -7/3 (c) 6 a Let n be (1 + 1)*82/4. Suppose -5*b = 4*t - n, 0*b = -b + 5. Suppose t = 2*k, -2*j + k = -7*j - 13. What is the biggest value in 3, j, -3/5? 3 Let r = -9.76 + 9.7. Which is the second biggest value? (a) 5 (b) -4 (c) r (d) -1 c Let j = 345 - 346. Let i = 2.4 - 2.1. What is the second smallest value in j, i, -2? j Let l be (-6)/((-8)/(-12)*-3). Let k be l + -1 - 11/(-55). Let d = k + -2. Which is the third biggest value? (a) 0.07 (b) d (c) 0.5 a Let y = -3.2 + 1.2. What is the smallest value in 0.047, y, 1? y Let g be ((-7)/(-10))/(1 + 2158/(-2156)). Let p = g - -757. What is the third biggest value in -0.5, 2, p? -0.5 Suppose -3*b - 6*k + k = 114, -2*b - 2*k = 80. Let w = b + 41. What is the second smallest value in -0.5, w, -5? w Let z = 11 - 7. Let o = 695.977 + -694. Let c = -0.023 - o. What is the smallest value in z, -0.3, c? c Let h be 1*(4 + -3 + 148). Let m = h - 160. What is the third smallest value in 2, -1/4, m? 2 Let v = 11918961/1969030 + -6903/2446. Let z = -5/161 + v. Let l = z + -91/30. What is the third biggest value in l, -1, 1/9? -1 Let h = -1/24 + 7/24. Let m = -1911/5 + 382. Which is the biggest value? (a) h (b) m (c) -3/7 a Let b = -257 - -259. What is the third biggest value in 1, b, 2/3, 0.2? 2/3 Let r be 3*(-1)/(-7)*1. Let i be 12/5 - 0 - 2/5. What is the third biggest value in r, 0.3, -1/2, i? 0.3 Let m = -7.22 - -6.82. Let x = 369/5 - 74. Let y = 0.06 + -0.1. What is the third biggest value in y, x, m? m Let u = -190 + 192. What is the third biggest value in -0.01, 3/7, u, -2/17? -0.01 Let c = -1152 + 1152.4. Suppose b = 4, 4*h - 2*b + 8 = -0*b. What is the second biggest value in -4, h, c, 3? c Let h = 0.041 - 0.091. Let w = -4.95 + h. Which is the fourth smallest value? (a) -4/7 (b) 3 (c) -2/7 (d) w b Let n = 0 + -3. Let i = -0.1 - -0.05. Let t = -0.15 - i. What is the third biggest value in 0, t, n? n Let p = 25 - 25.2. Let w = 1.43 + -1.73. What is the fourth biggest value in -2/7, 0, p, w? w Let w = -37 + 44. Let k(l) = l**2 - 6*l - 16. Let i be k(w). What is the third biggest value in 5, -0.5, i? i Suppose 4*w - w = -2*b - 3, -w = b + 1. Let z be (13 + -11)*w/(-7). Let x = 8 - 6. What is the third smallest value in x, z, -5? x Let t be ((-120)/(-70))/((-2)/(-91)). Let a = t + -138. Let c = -241/4 - a. What is the third biggest value in 7, 3, c? c Let l = -168 + 170. Which is the smallest value? (a) l (b) 4 (c) 0 (d) 1/2 c Let o(i) = i**3 + i**2 - 23. Let k be o(0). Let p = -19 - k. Which is the second biggest value? (a) p (b) -4 (c) 3 c Let f = -43 - -66. Let z = f - 21. Let r = -11 + 15. Which is the third biggest value? (a) r (b) z (c) -0.6 c Suppose 0*k = -k. Let d = -3.35 + 0.55. Let g = 2.9 + d. Which is the second smallest value? (a) k (b) 0.4 (c) g c Let o = -95 - -95.3. Let x = 0.05 + -0.55. Let u = 5 - 4. What is the third biggest value in u, o, x? x Let z = -159.11 - -159. What is the biggest value in z, 2/5, 9? 9 Let q be ((-66)/10 - -6)/((-2)/10). What is the third biggest value in -7.8, -0.5, 0.5, q? -0.5 Let p be (-910)/11760 - (-2)/(-42). Suppose -3*l = x + 11 + 8, -5*x = 2*l + 43. Which is the third smallest value? (a) x (b) p (c) -1 b Let d be (5 - 3062/612)/((-21)/(-4618)). Let r = d - -2/459. What is the third smallest value in 0, -0.5, r? 0 Let b be 1*(-2 + 1 - 11). What is the second smallest value in -0.5, b, 5? -0.5 Suppose 5*h = -2*y - 120 - 104, 180 = -4*h - 2*y. Let r = -9 + h. What is the smallest value in r, 4, 1/6? r Let y be (4 + -16)*3/1. Let k be y/120 - 1/5. Which is the biggest value? (a) 1/7 (b) k (c) 4 c Let j(h) = -4*h. Let u be j(-2). Let f be (u/6)/(-2)*-3. Let i be f/4 - (-21)/6. Which is the biggest value? (a) -2/9 (b) -2 (c) i c Let y = 6.7 + -7. Suppose 4*n - 3*o = -424 - 38, 3*n = -5*o - 361. Let i = n - -352/3. What is the second smallest value in y, i, 1? i Let i = 76 + -73. What is the second biggest value in 1/7, -0.2, i, 1/3? 1/3 Let q = -0.0555 - 0.0445. Which is the smallest value? (a) 4 (b) 0.4 (c) -10 (d) q c Let u = -88 + 99.1. What is the biggest value in -0.3, 3/2, u, 4? u Let v = -28 + 31. Suppose 3 - v = -5*b. What is the second smallest value in b, -1, 0.2? b Suppose 0 = 14*f - 63 - 91. What is the biggest value in 4/3, f, 5, 1/2? f Let x = -0.561 + 0.582. What is the second smallest value in 4, 5, x, -2? x Let z be 1995/(-18)*4/325. Let n = z - -2/65. Let y = -9 + 13. What is the smallest value in y, n, -1? n Let u = -15 + -3. Let k = 0.1156 + 17.4844. Let x = u + k. Which is the third smallest value? (a) 2 (b) x (c) -0.2 a Let l = 0.3 - -0.2. Let r = 25 - 43.2. Let i = r - -18. Which is the biggest value? (a) 1 (b) l (c) i a Let c = -1.2 - -6.2. Suppose 0*i = 5*i - 10. Let s(m) = m**3 - m**2 - 4*m + 3. Let p be s(i). What is the third biggest value in 0.3, p, c? p Suppose 26*x = 28*x - 10. Suppose 0 = w + x*o + 13, 6*o - o = 2*w - 19. Let g be 2/36*3/2. What is the smallest value in w, g, -5? -5 Let z = 0.36 + -0.06. Let p = 0.2 - -0.8. Let c = 0.9 - p. What is the smallest value in c, -1, z? -1 Let y = -16.04 - -16. Let v = 10.04 + y. What is the third smallest value in v, 0, 0.1? v Let j = 245/24 + -81/8. What is the biggest value in 0.2, -0.4, 2/9, j? 2/9 Let r be (-1218)/9 - (-2)/6. Let k be (-111)/r - (-4)/(-18). Let b be ((-1)/(-2))/((-6)/8). What is the biggest value in 3, b, k? 3 Let s be 2/(-10) - (-504)/(-105). What is the smallest value in -15, 1/7, 1/3, s? -15 Let u = -0.14 + 0.54. Let h = 9.92 - -0.08. Let q = h + -10. What is the biggest value in q, u, 0.2? u Let n = 1 - 0.949. Let r = n + -4.051. Which is the biggest value? (a) -1 (b) r (c) 1/5 (d) -0.07 c Let d = 818 - 810. What is the second biggest value in d, 0.3, -3/16? 0.3 Let i = 1 + -2. Let
{ "pile_set_name": "DM Mathematics" }
replacement from {x: 4, q: 2}. What is prob of sequence xq? 4/15 Calculate prob of sequence gid when three letters picked without replacement from ggdddgjddrirgddgdddd. 11/1368 Calculate prob of sequence ym when two letters picked without replacement from cycmmcmymr. 4/45 What is prob of sequence bbak when four letters picked without replacement from abbbkbkabbkkbkb? 2/117 Three letters picked without replacement from {o: 1, i: 4, f: 3, t: 2}. What is prob of sequence ott? 1/360 Two letters picked without replacement from akkdk. What is prob of sequence kk? 3/10 Two letters picked without replacement from aaiqiiiqaea. What is prob of sequence qi? 4/55 Calculate prob of sequence bbmj when four letters picked without replacement from lhjcmbhcjhcblhmm. 1/3640 What is prob of sequence tt when two letters picked without replacement from ylyylttlttl? 6/55 Three letters picked without replacement from ccoocobuucuuccu. Give prob of sequence bco. 3/455 What is prob of sequence bobo when four letters picked without replacement from {b: 6, o: 6}? 5/66 What is prob of sequence cco when three letters picked without replacement from oococooooocooccoco? 5/68 Calculate prob of sequence bbb when three letters picked without replacement from {b: 9, o: 10}. 28/323 Calculate prob of sequence sjlu when four letters picked without replacement from {s: 2, o: 1, j: 1, c: 1, u: 1, l: 1}. 1/420 Calculate prob of sequence ci when two letters picked without replacement from {i: 8, c: 3, a: 1, j: 6, b: 1}. 4/57 Calculate prob of sequence fc when two letters picked without replacement from {m: 2, f: 3, k: 3, d: 4, b: 6, c: 1}. 1/114 Two letters picked without replacement from {r: 14, d: 4}. Give prob of sequence dd. 2/51 Calculate prob of sequence pf when two letters picked without replacement from {k: 1, c: 1, f: 2, p: 1}. 1/10 Calculate prob of sequence aar when three letters picked without replacement from {r: 2, f: 1, a: 2, i: 1}. 1/30 Two letters picked without replacement from krkko. Give prob of sequence ro. 1/20 Two letters picked without replacement from kkkkklkklkllkk. What is prob of sequence kk? 45/91 Calculate prob of sequence ggg when three letters picked without replacement from yyyyggggyyygg. 10/143 Three letters picked without replacement from {b: 3, k: 4}. Give prob of sequence kbk. 6/35 Two letters picked without replacement from {a: 12, j: 7}. Give prob of sequence jj. 7/57 Two letters picked without replacement from {a: 1, g: 17, x: 1}. Give prob of sequence xa. 1/342 Two letters picked without replacement from xexxgxeeexxxeeeesx. What is prob of sequence se? 4/153 Calculate prob of sequence waw when three letters picked without replacement from {q: 5, a: 1, w: 5}. 2/99 Two letters picked without replacement from vidffjmm. Give prob of sequence dj. 1/56 Two letters picked without replacement from rnnnttt. Give prob of sequence rn. 1/14 What is prob of sequence eee when three letters picked without replacement from eeeeeeeeee? 1 Calculate prob of sequence vmx when three letters picked without replacement from {h: 1, m: 7, x: 1, v: 7}. 7/480 Three letters picked without replacement from {z: 8, q: 8, o: 1}. What is prob of sequence zqo? 4/255 Three letters picked without replacement from {q: 9, l: 10}. What is prob of sequence lql? 45/323 Calculate prob of sequence low when three letters picked without replacement from {l: 1, d: 1, x: 2, o: 1, w: 3, i: 4}. 1/440 Three letters picked without replacement from jhjjjjjjjjjhjhjhjjjh. What is prob of sequence jhj? 35/228 Three letters picked without replacement from {e: 2, n: 4, p: 1}. Give prob of sequence pen. 4/105 Calculate prob of sequence kxx when three letters picked without replacement from {x: 3, d: 4, k: 2, f: 1, j: 1}. 2/165 Calculate prob of sequence hho when three letters picked without replacement from hhohhoooohhhhh. 15/91 What is prob of sequence md when two letters picked without replacement from {d: 1, m: 2, c: 1, z: 5}? 1/36 Four letters picked without replacement from {f: 6, m: 1, v: 4, j: 5, h: 1, g: 3}. Give prob of sequence mvjm. 0 Two letters picked without replacement from niegiigixn. What is prob of sequence xe? 1/90 Four letters picked without replacement from {h: 2, n: 1, x: 1, k: 1, i: 1, q: 1}. What is prob of sequence iqnx? 1/840 What is prob of sequence zv when two letters picked without replacement from {v: 3, z: 2}? 3/10 Three letters picked without replacement from ajqij. What is prob of sequence jqj? 1/30 What is prob of sequence bv when two letters picked without replacement from bvvvveevvvvvbv? 10/91 What is prob of sequence znbq when four letters picked without replacement from {y: 1, n: 1, z: 2, q: 1, b: 2}? 1/210 Calculate prob of sequence tgqs when four letters picked without replacement from tqeesgntnttq. 1/1485 Two letters picked without replacement from dpddpepdddfdddppdppe. What is prob of sequence ee? 1/190 Calculate prob of sequence jwew when four letters picked without replacement from teujuwtuuwmumtu. 1/16380 What is prob of sequence vv when two letters picked without replacement from {a: 5, v: 13}? 26/51 What is prob of sequence ggyy when four letters picked without replacement from kkyeiyyiigkgik? 1/2002 What is prob of sequence dza when three letters picked without replacement from afdzazffaf? 1/120 What is prob of sequence giq when three letters picked without replacement from ifmifmfiifmqiigig? 7/2040 Three letters picked without replacement from {f: 5, q: 4, x: 1}. What is prob of sequence qfx? 1/36 Two letters picked without replacement from {l: 1, g: 1, y: 2, d: 1}. What is prob of sequence yd? 1/10 Three letters picked without replacement from {e: 2, d: 2, t: 1, w: 1, r: 1, i: 1}. What is prob of sequence eri? 1/168 Calculate prob of sequence ttj when three letters picked without replacement from jttjtjjtjjjttjjjtttj. 11/95 Four letters picked without replacement from {i: 4, q: 15}. What is prob of sequence iiii? 1/3876 Two letters picked without replacement from {q: 2, b: 8, s: 2}. Give prob of sequence ss. 1/66 What is prob of sequence nnnn when four letters picked without replacement from {n: 10}? 1 Four letters picked without replacement from ckcckhtttnc. What is prob of sequence hkcc? 1/330 What is prob of sequence xc when two letters picked without replacement from rxcxxxccxrc? 2/11 Three letters picked without replacement from {q: 5, e: 1, g: 4, f: 10}. What is prob of sequence ffe? 1/76 Four letters picked without replacement from babbbbaabaaaaaaabaa. Give prob of sequence bbbb. 35/3876 Two letters picked without replacement from {d: 1, l: 3, y: 1, z: 1, i: 1}. What is prob of sequence ll? 1/7 Two letters picked without replacement from wwwwtpqpqtbdttq. Give prob of sequence qb. 1/70 Three letters picked without replacement from {o: 15, n: 4}. What is prob of sequence ono? 140/969 What is prob of sequence ks when two letters picked without replacement from wwswwwkwwwwww? 1/156 Four letters picked without replacement from txxtttttxtttttxttttt. What is prob of sequence xtxt? 8/323 Three letters picked without replacement from bbtuubobobbubbbu. What is prob of sequence uoo? 1/420 Two letters picked without replacement from bynyrgy. Give prob of sequence gy. 1/14 Calculate prob of sequence mhh when three letters picked without replacement from {h: 6, m: 1, b: 4}. 1/33 Three letters picked without replacement from ccnirnrcncrcccnccic. What is prob of sequence iic? 10/2907 Calculate prob of sequence inii when four letters picked without replacement from {t: 3, i: 4, n: 13}. 13/4845 Two letters picked without replacement from {c: 7, j: 3, h: 1, f: 2, x: 1, q: 4}. What is prob of sequence fh? 1/153 Three letters picked without replacement from ygllvyvlvyy. What is prob of sequence vlv? 1/55 Four letters picked without replacement from {a: 4, n: 6, l: 2}. Give prob of sequence lala. 1/495 Calculate prob of sequence cf when two letters picked without replacement from {c: 1, g: 5, f: 1, h: 5}. 1/132 Calculate prob of sequence fppm when four letters picked without replacement from mmfhfhqmmfhmuphhh. 0 Calculate prob of sequence odzo when four letters picked without replacement from ioiszioiidoo. 1/990 What is prob of sequence ye when two letters picke
{ "pile_set_name": "DM Mathematics" }
*2/3 - 63364*y. y*(y - 28)*(y + 6789)/3 Find k, given that 4*k**5 - 692*k**4 + 44976*k**3 - 1314496*k**2 + 15302912*k - 25696704 = 0. 2, 33, 46 What is n in 2*n**4 - 141*n**3 - 103*n**2 + 2256*n + 1136 = 0? -4, -1/2, 4, 71 Factor -2*b**2/7 + 262908*b/7. -2*b*(b - 131454)/7 Factor -g**4/6 - g**3/6 + 50*g**2/3 + 50*g/3. -g*(g - 10)*(g + 1)*(g + 10)/6 What is j in 6*j**4 + 3274*j**3 + 24728*j**2 - 10792*j - 17216 = 0? -538, -8, -2/3, 1 Factor -q**2/7 - 1938*q/7 + 277. -(q - 1)*(q + 1939)/7 Factor 2*a**2/17 - 31850*a/17 - 414388/17. 2*(a - 15938)*(a + 13)/17 Find w such that -4*w**3 + 3896868*w**2 - 949096814652*w - 949100711524 = 0. -1, 487109 Solve -4*a**4 + 252*a**3 - 3416*a**2 + 3168*a = 0. 0, 1, 18, 44 Factor 4*c**5 + 28600*c**4 + 114360*c**3 + 171520*c**2 + 114340*c + 28584. 4*(c + 1)**4*(c + 7146) Determine x so that -2*x**4/19 + 44*x**3/19 - 78*x**2/19 - 44*x/19 + 80/19 = 0. -1, 1, 2, 20 Find u, given that -432*u**4 + 2468*u**3 + 225380*u**2 + 64504*u + 2080 = 0. -20, -1/4, -1/27, 26 Solve -667489*g**2 + 205884*g - 15876 = 0 for g. 126/817 Factor -2*u**4/13 + 11942*u**3/13 + 143496*u**2/13 + 574240*u/13 + 765824/13. -2*(u - 5983)*(u + 4)**3/13 Solve -10*b**3/7 - 226*b**2/7 - 1108*b/7 + 480/7 = 0 for b. -15, -8, 2/5 Let 2*v**2 - 130*v + 252 = 0. What is v? 2, 63 Factor -2*y**2 + 4872*y + 4874. -2*(y - 2437)*(y + 1) Let -2*o**3/5 + 742*o**2/5 + 29808*o - 58156704/5 = 0. What is o? -277, 324 Determine m so that 4*m**5 + 2180*m**4 + 316828*m**3 + 5349164*m**2 + 12039088*m - 17707264 = 0. -263, -16, -4, 1 Let -7*d**3 - 593*d**2 + 8318*d - 2328 = 0. What is d? -97, 2/7, 12 Let -4*d**5/5 - 94*d**4/5 + 8596*d**3/5 + 166366*d**2/5 + 15336*d - 16200 = 0. What is d? -50, -18, -1, 1/2, 45 Factor -p**2/9 - 14*p/9 + 5576/9. -(p - 68)*(p + 82)/9 Let 2*w**3 - 15840*w**2 - 31694*w + 47532 = 0. Calculate w. -3, 1, 7922 Factor m**3/11 + 120*m**2/11 + 2223*m/11 - 7776/11. (m - 3)*(m + 27)*(m + 96)/11 Suppose -h**2/5 + 3272*h/5 - 9771 = 0. Calculate h. 15, 3257 Solve -o**5 + 3*o**4 + o**3 - 11*o**2 + 12*o - 4 = 0 for o. -2, 1, 2 Factor -5*z**3 - 2180*z**2 + 2215*z + 13110. -5*(z - 3)*(z + 2)*(z + 437) Find s, given that -2*s**2 + 62456*s - 487593992 = 0. 15614 Find l such that -4*l**4 + 158*l**3 + 5836*l**2 - 15722*l - 9300 = 0. -25, -1/2, 3, 62 Let -3*v**4 + 177*v**3 - 2355*v**2 + 5871*v - 3690 = 0. Calculate v. 1, 2, 15, 41 Determine o, given that 3*o**5/4 + 813*o**4/2 + 4035*o**3/2 + 2010*o**2 - 8073*o/4 - 4833/2 = 0. -537, -3, -2, -1, 1 Factor c**2/2 + 106*c - 432. (c - 4)*(c + 216)/2 Find a, given that -2*a**2 + 1556*a - 6192 = 0. 4, 774 Find z, given that -5*z**5 + 155*z**4 - 905*z**3 - 5315*z**2 + 7310*z + 11560 = 0. -4, -1, 2, 17 What is t in -3*t**2 - 1524*t + 94752 = 0? -564, 56 Factor 429*c**3 - 22734*c**2 + 43599*c + 306. 3*(c - 51)*(c - 2)*(143*c + 1) Suppose -2*f**3/11 - 532*f**2/11 - 1058*f/11 - 48 = 0. Calculate f. -264, -1 Factor t**2 - 3730788*t + 3479694775236. (t - 1865394)**2 Factor k**2 - 142424*k + 5071148944. (k - 71212)**2 Factor 5*j**2 - 27290*j + 27285. 5*(j - 5457)*(j - 1) Factor -k**4 + 822*k**3 + 3315*k**2 - 9092*k + 4956. -(k - 826)*(k - 1)**2*(k + 6) Find l, given that -l**2/3 + 1430*l/3 + 94813 = 0. -177, 1607 Determine w so that 27*w**2 - 372*w - 6624 = 0. -92/9, 24 Suppose f**5/8 - 119*f**4/8 + 213*f**3/8 + 2439*f**2/8 + 1053*f/4 = 0. Calculate f. -3, -1, 0, 6, 117 Let -2*v**2/3 - 190*v + 1764 = 0. What is v? -294, 9 Factor -4*j**2 + 84628*j. -4*j*(j - 21157) Factor -c**2/4 - 89417*c/4 - 134121/2. -(c + 3)*(c + 89414)/4 Determine u so that 10*u**2/7 + 186*u/7 - 72 = 0. -21, 12/5 Factor u**5/2 + 585*u**4/2 + 57607*u**3 + 3927743*u**2 + 42352113*u/2 - 50323399/2. (u - 1)*(u + 7)*(u + 193)**3/2 Factor -3*q**3/2 - 192*q**2 + 1230*q + 3216. -3*(q - 8)*(q + 2)*(q + 134)/2 Solve n**3/7 + 253*n**2/7 - 260*n = 0. -260, 0, 7 Determine u, given that -3*u**4 - 675*u**3 - 28944*u**2 + 1078800*u + 1107072 = 0. -124, -1, 24 Factor j**4/6 + 3*j**3 - 61*j**2/2 - 100*j/3. j*(j - 8)*(j + 1)*(j + 25)/6 What is c in -18*c**3/13 - 13576*c**2/13 + 10574*c/13 + 3020/13 = 0? -755, -2/9, 1 Factor 3*n**2 - 1068*n - 191391. 3*(n - 487)*(n + 131) What is o in -5*o**3 - 9085*o**2 - 4194155*o - 60885075 = 0? -901, -15 Determine c, given that -c**4 - 72*c**3 + 1106*c**2 + 72*c - 1105 = 0. -85, -1, 1, 13 Determine t, given that -4*t**4/7 + 548*t**3/7 - 3680*t**2/7 + 5200*t/7 = 0. 0, 2, 5, 130 Let 2*h**4 - 20048*h**3 + 50260332*h**2 - 100460528*h + 50220242 = 0. Calculate h. 1, 5011 Let 3375*r**4 - 566475*r**3 + 31776705*r**2 - 600387633*r + 260611668 = 0. Calculate r. 4/9, 279/5 Factor -d**3/3 + 2852*d**2/3 - 2849*d. -d*(d - 2849)*(d - 3)/3 Find b, given that 3*b**3/4 + 183*b**2 + 3597*b/4 + 717 = 0. -239, -4, -1 Find v such that -46*v**5/15 - 304*v**4/3 + 88*v**3/3 + 35084*v**2/3 + 181046*v/15 + 1508/3 = 0. -29, -13, -1, -1/23, 10 Suppose s**5 - 32*s**4 + 128*s**3 + 194*s**2 - 129*s - 162 = 0. Calculate s. -1, 1, 6, 27 Factor 5*x**3/4 + 7895*x**2/4 + 786000*x + 5405715. 5*(x + 7)*(x + 786)**2/4 Let p**3/6 + 23*p**2/6 - 35*p/2 + 27/2 = 0. What is p? -27, 1, 3 Factor 2*b**2/11 - 5326*b/11 + 10644/11. 2*(b - 2661)*(b - 2)/11 Suppose q**4/2 + 4387*q**3/6 - 10259*q**2/3 + 14666*q/3 - 1956 = 0. Calculate q. -1467, 2/3, 2 Factor -53*v**2/4 - 741*v/2 + 14. -(v + 28)*(53*v - 2)/4 Solve 33*z**5 + 2402*z**4/3 + 5071*z**3/3 + 1052*z**2 + 212*z/3 - 176/3 = 0 for z. -22, -1, -4/9, 2/11 Factor -2*g**2 - 1314680*g - 216047937800. -2*(g + 328670)**2 Determine j, given that -3*j**3/2 + 366*j**2 + 845157*j/2 + 422211 = 0. -422, -1, 667 Determine p, given that -3*p**4 + 273*p**3 - 792*p**2 - 12*p + 1056 = 0. -1, 2, 88 Determine m so that -4*m**4 - 27112*m**3 - 46238548*m**2 - 1007427696*m - 5522867856 = 0. -3378, -11 Factor 2*n**2/9 + 419*n + 1881. (n + 1881)*(2*n + 9)/9 Solve 2*k**3 - 2570*k**2 + 163086*k - 2654982 = 0 for k. 33, 1219 Factor 64*s**4 + 99552*s**3 + 39183268*s**2 + 365530056*s + 862831876. 4*(s + 773)**2*(4*s + 19)**2 What is o in -2*o**5/5 - 3*o**4/5 + 1114*o**3/5 + 4983*o**2/5 + 7168*o/5 + 660 = 0? -22, -2, -3/2, -1, 25 Suppose -5*m**2/2 - 10*m + 1785/2 = 0. What is m? -21, 17 Solve -n**3/5 + 58*n**2/5 - 629*n/5 + 572/5 = 0. 1, 13, 44 Determine v so that -2*v**2/9 + 56840*v/9 + 56842/9 = 0. -1, 28421 Let v**3/2 + 91*v**2/2 + 483*v/2 - 2295/2 = 0. Calculate v. -85, -9, 3 Factor 3*w**4/7 - 270*w**3 - 3789*w**2/7 - 1896*w/7. 3*w*(w - 632)*(w + 1)**2/7 Solve f**3 - 169*f**2 + 3998*f + 8680 = 0 for f. -2, 31, 140 Find n such that 2*n**4/23 + 2*n**3 - 776*n**2/23 - 904*n/23 + 1632/23 = 0. -34, -2, 1, 12 Factor -4*v**2/5 + 124*v/5 + 99528/5. -4*(v - 174)*(v + 143)/5 Factor g**4 + 80*g**3 + 437*g**2 - 518*g. g*(g - 1)*(g + 7)*(g + 74) Factor -3*d**2 + 522*d - 22599. -3*(d - 93)*(d - 81) What is p in -4*p**2 - 110376*p - 761428836 = 0? -13797 Factor s**2/11 - 11899*s/11 - 202572/11. (s - 11916)*(s + 17)/11 Solve -2*r**4 - 318*r**3 + 1306*r**2 + 318*r - 1304 = 0 for r. -163, -1, 1, 4 Factor -3*p**3/5 - 2556*p**2/5 - 69216*p/5. -3*p*(p + 28)*(p + 824)/5 Solve 33*k**4/2 + 315*k**3/2 + 411*k**2/2 + 9*k/2 - 60 = 0. -8, -1, 5/11 Factor 4*p**2/5 - 1623224*p/5 + 164678509636/5. 4*(p - 202903)**2/5 Suppose 4*k**4 + 25872*k**3 + 41809144*k**2 - 83695920*k + 41860900 = 0. Calculate k. -3235, 1 Determine m so that 2*m**2 - 266*m - 540 = 0. -2, 135 Factor -2*k**3/11 - 2340*k**2/11 + 1312686*k/11 - 154242576/11. -2*(k - 219)**2*(k + 1608)/11 Let 9245*g**2 - 13760*g + 5120 = 0. Calculate g. 32/43 Factor 3*j**4 - 66*j**3 - 912*j**2 + 4224*j + 46080. 3*(j - 30)*(j - 8)*(j + 8)**2 Solve -2*v**4 + 668*v**3/7 - 3826*v**2/7 - 164*v = 0 for v. -2/7, 0, 7, 41 Let 5*x**3 + 7445*x**2 + 44535*x + 66735 = 0. What is x? -1483, -3 Determine d, given that 2*d**3/9 + 14116*d**2/9 + 2769088*d + 5531904 = 0. -3528, -2 Factor 5*m**3 + 9768735*m**2 + 4771404290640*m - 4771414059380. 5*(m - 1)*(m + 976874)**2 Suppose -x**5 + 22*x**4 - 40*x**3 - 2*x**2 + 41*x - 20 = 0. Calculate x. -1, 1, 20 Find s, given that -4*s**5 + 641*s**4/3 - 1313*s**3 + 7483*s**2/3 - 971*s - 420 = 0. -1/4, 1, 3, 140/3 Suppose -o**3/2 + 5421*o**2/2 - 7556259*o/2 + 563605039/2 = 0. What is o? 79, 2671 Let 3*j**5 + 27*j**4 + 21*j**3 - 27*j**2 - 24*j = 0. Calculate j. -8, -1, 0, 1 Factor 4*h**4 + 460*h**3 - 1904*h**2. 4*h**2*(h
{ "pile_set_name": "DM Mathematics" }
x be r + 1/2*-4. Is 443 + x + 4/1 composite? False Suppose -4*m + i = -182642, -2*m - 73*i + 68*i + 91288 = 0. Is m composite? False Let y(f) = 2*f + 34. Let n be y(-13). Let c(z) = 9*z + n*z + 5 + 24 + 0*z. Is c(6) composite? False Let x = 14 - -4. Suppose x*z = 19*z - 90. Is ((-541)/(-3))/(30/z) a composite number? False Suppose 5*t = -0*t + 25. Suppose -6*k = -t - 19. Suppose z - 46 = -2*p + 241, -k*z - 3*p = -1168. Is z composite? True Let a(c) = c**3 - 4*c**2 + 42*c - 162. Is a(17) a prime number? False Let o = -1413 - 545. Let t = -1393 - o. Is t a prime number? False Suppose -4*w + y + 2666 = -13531, 0 = w + 5*y - 4044. Suppose 0 = 6*o - 8*o - 4*h + 14, 0 = -h + 2. Suppose -o*u - 1370 = -w. Is u composite? True Let l(c) = 273*c + 170. Let r be l(-5). Let g = 2204 + r. Is g prime? True Suppose -6*k + 6351 = -7911. Suppose 3060 = b + 4*c + 658, 0 = b - c - k. Suppose 3*p - 3*v = 2*v + b, -5*p - 3*v = -4004. Is p composite? True Suppose -6*w + 0 = -18. Suppose 3*h - 2*b = 14352, b - 9568 = -5*h + w*h. Suppose 3*f = -f - 5*c + 3822, -h = -5*f - 3*c. Is f a composite number? True Let p(m) = -2*m - 6. Suppose 5*x - 23 - 12 = 0. Let b be p(x). Is ((-10476)/b - -3) + (-2)/(-10) a composite number? True Suppose 0 = 74*r - 3264326 - 5029816. Is r composite? True Let w(x) = 2789*x + 6648. Is w(5) a composite number? False Suppose 0 = -2*k + 950*l - 948*l + 52178, 4*k = 5*l + 104352. Is k prime? False Suppose -340907 - 91316 = -10*v - v. Is v a composite number? False Suppose 0*w - 2 = -w. Suppose -w*h + 4*v = -7*h + 45, 3*v = 3*h. Suppose 0 = -h*s - 2*b + 721, -4*s - 4*b + 727 = s. Is s a prime number? False Suppose -77154 = -5*q + z + 39937, 2*z = -3*q + 70239. Is q a prime number? True Let t(v) be the first derivative of v**4/4 - 7*v**3/3 + v**2/2 - 10*v + 6. Let n be t(7). Is (1/n)/(13/(-2301)) a prime number? True Is (-319)/(-638) - (32046/(-4) - 0 - 1) composite? True Let y(i) = -i**3 - 2*i**2 + i - 1. Let z be y(-3). Suppose 3*d + 2298 - 16104 = 0. Suppose -d = -z*h + 3413. Is h a prime number? False Let q = 63 - 47. Suppose -4*m + 1 + 11 = -2*v, -q = v - 4*m. Is (163*v/10)/(6/30) a composite number? True Let c(t) = -888*t - 7. Let q be c(-4). Suppose q - 133 = g. Suppose -g = -5*s - 177. Is s a composite number? False Suppose -4*w + 15 = 5*f, -5*w + 6 = -2*w + 2*f. Suppose 14*r - 4267 - 10559 = w. Is r composite? True Let j = 33695 + -8988. Suppose 3*y + 2*k - 6 = 0, k - 3 = -3*y - 2*k. Suppose y*b + 4951 = l, 6*b - 2*b + j = 5*l. Is l a prime number? False Let t(k) = 329*k**2 - 5*k - 17. Let l(x) = x**3 + 5*x**2 - 3*x - 18. Let y be l(-5). Is t(y) prime? False Suppose -3*o + 8 = o. Suppose -11*b + 14*b = -o*z + 9245, z - 4633 = -5*b. Is z a composite number? True Suppose -4*o - 3*x = 10438, -5*x + 4*x = -4*o - 10446. Suppose 0 = -2*u - u - 5148. Let y = u - o. Is y prime? False Let l be (8 - 9)*(2 + 0 + -5). Let z(h) = -2*h**2 - 7*h - 13 + 13*h**3 + 17*h**2 + 26*h - 14*h**l. Is z(12) a composite number? False Suppose 815318 + 1384775 = 7*l. Is l a prime number? True Let l be ((-26)/8)/(4/(-16)). Suppose 6*i = 547 - l. Is i a composite number? False Let h(j) = -184*j**3 + j**2 - j - 1. Suppose 3*m - 66 = -3*m. Suppose m*g - 1 = 12*g. Is h(g) composite? True Suppose -9162*r + 9155*r + 1035979 = 0. Is r a composite number? False Is -2 + 100/44 - (-71925824)/352 prime? False Let f = 39204 + -21163. Is f a composite number? False Is 15/(-3)*(-23)/((-1380)/(-51493164)) a prime number? True Let q(g) = -3*g**2 - 5*g - 8. Let d(t) = -8*t**2 - 15*t - 23. Let f(r) = 4*d(r) - 11*q(r). Let b be f(6). Is (-1668)/8*-1*b a prime number? False Suppose f = -p + 189300, -176*f - 3*p = -177*f + 189328. Is f prime? True Suppose -7*c + 5*c + 4 = 0. Suppose -10*k + c*k = -12840. Suppose -4*q + 2515 = 3*l, -4*l - k - 931 = -4*q. Is q a prime number? True Suppose 2*s = 2*c + 22843 + 959, 3*c = 5*s - 59515. Is s a prime number? False Suppose -s = -r - 775, -4*r + 2493 = 3*s + 203. Suppose -g + w - 15 + s = 0, 0 = 3*g + 3*w - 2295. Suppose -2*h + g + 678 = 0. Is h composite? False Suppose 0 = -4*d + 24 - 4. Let r(z) = -5*z - d*z - 13 + 27*z - 5*z. Is r(12) prime? True Let h(a) = -a + 3 - 4 - 3 + 0. Let y be h(-6). Let x(u) = 100*u - 9. Is x(y) a composite number? False Suppose -2855*n + 2858*n = 42393. Is n composite? True Let s be 5/(-20) - (-18)/8. Suppose -s*i = -2*l + 1980, 762 = l - 2*i - 233. Suppose 0 = 4*x - l - 27. Is x composite? True Let t = 10127 + -10123. Let g = 1039 - -559. Suppose -2*w = t*a - g, -3*a + 0*w = -w - 1186. Is a prime? True Suppose 0 = 38*g - 589022 - 230144. Is g a composite number? False Let s = 4 - -1. Suppose -25 = -s*q - 4*f + 3*f, -2*f + 18 = 2*q. Suppose -v + 515 = -3*h, -v + q*h + 850 = 331. Is v a composite number? False Let d(g) be the third derivative of g**5/15 - g**4/24 + 1861*g**3 + 14*g**2. Let m be d(0). Suppose -y = 5*y - m. Is y composite? False Let c(i) = -8*i - 6. Let x(w) = 3. Let m(a) = -5. Let b(r) = 4*m(r) + 7*x(r). Let y(t) = 3*b(t) + c(t). Is y(-2) a prime number? True Let w(j) = -j**2 + 5*j + 5. Let c be w(5). Suppose c*k - 2358 = -4*k. Suppose 0 = 3*z + k - 3343. Is z a composite number? True Let k(c) = 2778*c. Let s be k(1). Suppose -634 = -n + 4*t, 8*n - 4*n + 4*t - 2436 = 0. Suppose 0 = -4*r + s - n. Is r prime? True Let o(s) = -s**3 - 45*s**2 - s - 16. Let z be o(-45). Suppose -68087 + 23572 = -z*k. Is k a composite number? True Let g(q) = q**3 + 3*q**2 - 11*q - 1. Let b be g(-5). Suppose w - 2*h + b*h = 1509, -w + 1488 = -5*h. Suppose -w - 482 = -5*a. Is a prime? True Let m(k) = 24*k + 1466. Let t be m(-61). Let y(p) = p**2 - 4. Let j be y(4). Suppose j = t*r - 86. Is r a composite number? True Suppose -40*b + 185292 = 27*b - 55*b. Is b a composite number? True Let v be (4*1/(-5))/((-8)/2540). Let y be (-3)/(24/v)*-8. Suppose 0 = -17*a + 15*a + y. Is a a prime number? True Let b(d) = 730*d + 951. Is b(49) a composite number? False Let x(j) = j + 146. Let o(n) = 46*n**3 - 6*n**2 + 3*n + 2. Let d be o(1). Is x(d) a composite number? False Is 6/27 - (2/8)/(108/(-51352176)) composite? True Suppose 3*l + 697 = -4*g + 9004, -4*g + 13861 = 5*l. Is l a composite number? False Suppose 27179 - 183573 = -2*q. Is q a composite number? True Let t(v) = -v**3 + 13*v**2 + 27*v + 1. Let m(i) = -i**2 - 1. Let c(h) = m(h) + t(h). Let r be c(14). Let q(n) = -n**3 - 12*n**2 + 11*n - 17. Is q(r) composite? True Suppose -2*t = -9 + 19. Let n(y) = -66*y - 1. Let f be n(t). Let a = f + -180. Is a a prime number? True Suppose 276*g - 56604860 + 9271772 = 60118404. Is g composite? True Is (-146 + 310)/(4/13999) a prime number? False Suppose 5*j - 20001 = 2*h + 56424, -j + 2*h = -15285. Suppose 5*d - 10*t + 6*t = 19109, -4*d + t = -j. Is d composite? False Suppose x = -3*i + 109, i + 5*x = -0*x + 41. Suppose -4*q = t + 35 - 86, -q = t - i. Is t prime? True Suppose -3*o = 3*y - 81090, 1330*y = 1332*y - 3*o - 54095. Is y a composite number? True Let l(g) = 522*g - 2473. Is l(106) prime? True Let z = 18 - 18. Suppose -5*y + 8 + 7 = z. Is y - (-2 + -137 + 3) prime? True Suppose 0 = 3*u - 3 + 3. Suppose 3*d + 3*f - 9 = u, 3*d = 5*d + 3*f - 5. Suppose 0 = d*k - w - 752, 203 = k - 2*w - 2*w. Is k a prime number? False Suppose -273652 = -2*z - 2*r, 2*z + 135408 - 409080 = 2*r. Is z prime? False Let y(m) = 9*m**2 + 4*m - 7. Let b = -19 - -23. Suppose 8 = b*u - 4. Is y(u) a prime number? False Suppose 2 = -2*k, 0 = -2*g + 45*k - 48*k + 36191. Is g a composite number? False Let b be ((-28)/(-98))/(3/(-11277)). Let d be (-14379)/21 + (-4)/14. Let a = d - b. Is a prime? True Is ((-102)/(-42) + -2)*(-4)/12*-2917677 prime? False Let g(k) be the second derivative of 43*k**3/3 - 39*k**2/2 + 20*k. Is g(8) composite? True Let t be (15/99 + (-2)/(-11))*1899. Suppose -2*u + t = -2161. Is u a prime number? False Let a be (0 - (-19196)/8)/(8/32). Suppose 4*z = -2*d + a, 4*d - 13114 - 6030 = 5*z. Is d a composite number? True Suppose 303011 = -49*q + 1659772. Is q a prime number? True Suppose 51*j - 1202749 = 3*j + 6130067. Is j prime? True Suppose -1412*t + 1725634 = -1398*t - 2700144. Is t a prime number? False Let n(m) = -35*m**2 - 39*m + 48. Let r(j) = 36*j**2 + 38*j - 49. Let q(w) = 2*n(w) + 3*r(w). Is q(-17) prime? False Suppose -5*s + 27*v - 29
{ "pile_set_name": "DM Mathematics" }