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+ 120, -c + 7*c + 600*w + 262 = 4*c + 611*w for c. 1 Solve -4*b + 71 = -29*o + 211, 25*o - 47*o + 20 = -2*b - 20*o for b. -6 Solve 59*g - 1120 + 1460 = -3*x, -56 = 5*x - 4*g - 1 for x. -15 Solve 5*u - 26 = p, -540 = 254*u + p - 2068 for u. 6 Solve -2*g + 68*t = 65*t + 56, -g - t = -27 for g. 5 Solve 0 = -q + 1, 2*q - 340 = -2*t + 5*q - 684 + 327 for t. -7 Solve 5*t + 8*h = 60, -7*t + 3*t + 16*h + 36 = 32*h - 12*h for t. 4 Solve -60 = -0*g + 4*g - 4*u, -2*g + 207*u - 112*u = 100*u + 44 for g. -17 Solve 0 = -15335*g + 15338*g + 5*p + 614, -5*g - 136 = p for g. -3 Solve 4*d = 5*l + 1, -2454*l = 3*d - 2459*l - 7 for d. -6 Solve -4*h = 2*o + 14, 15 = 10*h - 36*h + 21*h - 0 for o. -1 Solve 37 = r + v, -3835*r = -3838*r + v + 95 for r. 33 Solve b - 33 = 3*r, 2*b + 44511 = -r + 44500 for b. 0 Solve -746 = -d + z - 762, -482 = -4*d - 20*z - 162 for d. 0 Solve -6*m = m + 8*k + 138, -643 = -5*m + k - 708 for m. -14 Solve p - 4*y = -106, 18*p - 5*y = 13*p - 140 for p. -2 Solve -4*d = 2*x + 6, -285*d = 6*x - 282*d + 45 for x. -9 Solve 3*j - 40 = -2*v, 26*v - j = 35*v - 180 for v. 20 Solve a - j = -3 - 2, -75 = 3*a + 12709*j - 12727*j for a. -1 Solve -170*r - 3*g + 4924 = 0, -23*g + 10*g + 7*g = 5*r - 8*g - 149 for r. 29 Solve -32 = -4*y - 5*x, 2*y + 12*x + 5*x = 29*x + 74 for y. 13 Solve 0 = 5*c - 100433 + 100433, -3*o - c = -15 for o. 5 Solve -4*a - 1940 + 967 = n - 3*a - 992, 479 = 21*n + a for n. 23 Solve 13567*u - 5*n - 225 = 13562*u, 4*u = -7*n - 271 for u. 4 Solve -4*l = -214*z + 213*z + 20, 4*z - 20 = l for l. -4 Solve 0 = 2*y - 6*c + 22, -770*y = -766*y + 2*c + 2 for y. -2 Solve -4*u = -f + 6*f - 31, 844 - 879 = -5*f for u. -1 Solve -45*t + 3*n - 141 = 43*t - 139*t + 47*t, -n = 3*t - 107 for t. 36 Solve -10*p = 5*p - 5*p + 8*p + 14*m + 28, -2*m - 1 - 3 = 0 for p. 0 Solve 0 = -3*h - 8*f + 4*f - 20, -43 = 5*h - 3*f for h. -8 Solve -486*a = -481*a - 5*v - 5, 3*v = 9 for a. 4 Solve 0 = 4*l + 84, 18*l + 21*l - 204 + 532 = 5*h - 516 for h. 5 Solve -2*t = w - 8 - 25, -318299*w + 29*t = -318301*w + 66 for w. 33 Solve 0 = -2*g + 9*u - 1, -4*u - 16 = 6658*g - 6663*g for g. 4 Solve -8*c - 34*c = -b + 256, -3*b + 0*b = -3*c - 30 for c. -6 Solve 0 = 2*t + 2*l + 10, 81847*l = -2*t + 81850*l + 10 for t. -1 Solve -53 = -t + 2*y, -592*y = -9*t - 588*y + 113 for t. 1 Solve -7*y + 5*p = 33 - 11, 43 - 31 = 4*p for y. -1 Solve 3*y + 2*y = 23*c + 59, 3*c - c + 22 = -0*c - 8*y for c. -3 Solve 6*h + 4*x - 26 = 0, 2*x - 9 - 3 - 4 = -4*h for h. 3 Solve -18 = 3*g + 1068*m - 1069*m, -11 - 13 = 4*g + 7*m for g. -6 Solve l + 31 - 8 = 9*x + 2*l, 4*x + 9*l - 18 = 7*l for x. 2 Solve 57*t + 2*x + 54 = 55*t + 26, -5*x + 27 = 77 for t. -4 Solve -x - 4*k + 144 = 18*x - 6*x, -2*x + 2*k + 30 = 0 for x. 12 Solve 98 = -5*v + 2*b, 17*b = -2*v + 3*b + 8*b + 362 for v. 4 Solve -2*y - h = 37, 29067*y + 121 = 29059*y + 5*h for y. -17 Solve -c - 17 = -757*u + 759*u, c + 3*u = -17 for c. -17 Solve 7*a = -k + 93 - 7, 23 - 31 = -a - k for a. 13 Solve 6*w = k - 31, -16*k + 27 = -23*k + 3*w + 10 for k. -5 Solve 88 = -20*m - q, 0 = -388*m + 386*m - 21*q - 176 for m. -4 Solve 5*i + 2299 = -63*g + 2191, 0 = 5*g + 5 for i. -9 Solve -s - 19 = -12*x + 10*x + 4*x - 0*s + 2*s, 0 = s + 1 for x. -8 Solve 17*l + 19*y - 11*y - 115 = 13*y, -12*l - 2*y - 46 = 0 for l. 0 Solve -25*c = 2*p + 429, 8 - 18 = -7*p + 12*p for c. -17 Solve -5*q + 5 = 3*t + 47, 2*q + 2*q + t + 33 = 12 for q. -3 Solve -13*x - 22*k - 26 = -8*x - 3*x, 4*x = k - 7 for x. -2 Solve -3*s = 2*u + 10, 90*s - 6*u + 14 = 88*s for s. -4 Solve 537*m - 507*m = -3*g - 66, 0 = -m - 3 for g. 8 Solve 81 = 4*m - 9*v, -2*m + 3*v = -5*m + 183 - 93 for m. 27 Solve -18 = -83*z + 92*z + 18, -20*g + 17*g + 3*z + 27 = 0 for g. 5 Solve 2*y - 3*x = 44, -288*y + x + 4 = -282*y for y. -2 Solve -72 = -o - o + 2*x, 2*o + 980*x - 992*x - 72 = 0 for o. 36 Solve 14*f + 5*h + 141 = 0, 5*f - 384497 + 384554 = -2*h for f. 1 Solve -4*c + 128 = 0, -81*x - 80*x + 3*c = -239*x + 81*x + 90 for x. 2 Solve t = -h - 26, -3*h - 7*t + 522 = -25*h - 4*t for h. -24 Solve 1122 = 4*x + 2*l + 1126, -x = 48*l + 1 for x. -1 Solve f - 4*f + 20 = -4*m - 2, 5*f + 64 = 4*m + 90 for f. 2 Solve 3*c + 9241*d = 9230*d - 7 - 29, 3*d + 10 = -c for c. -1 Solve -1 + 1 - 13 = 5*s + 2, -11*a + 53 = -3*s for a. 4 Solve 16 = 2*b + 3*b + b - 2*r, 27*b - 4*r = -16 + 3 for b. -3 Solve 3*i = i - 131*a + 136*a + 1, 32*i + 209 = 5*a for i. -7 Solve -141*m + 137*m = 5*s + 69, 3*m + s + 42 = -2*s for m. -1 Solve -27*i + 209 = -c - 20*i + 248, -5*i - 37 = -3*c for c. 4 Solve z + 6 = 6*o - 11, -4*z = 3*o - 13 for z. 1 Solve 0 = 5*z + 5*p, 3*z + 0*z - 7*z + 3*p + 24 = z for z. 3 Solve -q - 7408 = 4*k - 7387, 9*k - 2*q = -26 for k. -4 Solve 41*k - 409 - 461 = -3*x, -3*k = -63 for x. 3 Solve -26*y + 25 = -39*y - 31*y + 2*v - 19, v = 3*y - 16 for y. -2 Solve 2*d - 6 = -1069*u + 1065*u, 123*u - 3*d = -138 for u. -1 Solve 381*o - 5*z = 386*o + 70, 167*o + 1828 = 3*z for o. -11 Solve 9*d + m + 3*m - 1203 + 1455 = 0, -4*d = 5*m + 74 + 241 for d. 0 Solve 4*n = 5*l + 22, 24 = 21239*n - 21236*n for l. 2 Solve 3*v + 10*r + 406 = 2*v, -6 + 67 = 5*v - 8*r + 7*r for v. 4 Solve -17*f - 4*l - 19 = -18*f, f + 2*f = 5*l + 112 - 90 for f. -1 Solve -5*a + 11*v = 15*v - 238, 8*a - 69 = -v + 328 for a. 50 Solve -2*s + 5*i - 12 = -s + 4, 0 = -5*s + 24*i - 10 - 68 for s. -6 Solve 39 = 16*i + l, 5*i - 184840 = 4*l - 184789 for i. 3 Solve 2398*y - 2396*y = -3*l - 41, 0 = y + 3*l - 0*l + 28 for y. -13 Solve 4*y + 5*v - 3*v = -0*y - 2, -2*y - 7 + 1 = 6*v for y. 0 Solve 3*l = -3*n - 2*l + 183, -2*n - 18*l = -322 - 372 for n. -4 Solve -5*q + 106*p - 142*p + 6 = -39*p, 0 = 4*q + 4*p + 8 for q. 0 Solve 0 = l - 8*u + 2*u - 13, 114 = -22*l + 61*l - 2*u + 303 for l. -5 Solve 0 = 3*k + 18*b + 28 + 14, -7*k = -6*k + b - 11 for k. 16 Solve 0 = -5*o + 2*a - 8 + 15, 24*o = -4*a - 116 for o. -3 Solve 35*c - 34*c - 1705 + 1702 = 0, 0 = 3*z - 4*c - 3 for z. 5 Solve 52 + 95 = 6*d + 3*t, -1355*d - 6*t = -1353*d - 9*t + 131 for d. 2 Solve -4*r - 5*f + 5575 - 5515 = 0, -5*f + 330 = 31*r for r. 10 Solve -d + 76 = 38*w, -26*w + 29*w - 5 - 1 = -4*d for d. 0 Solve -36*a + 68*a + 10*r = 26*a + 12*r + 38, -5*r = -a + 25 for a. 5 Solve -299*y + 4 + 2 = -296*y - 2*s, 7*s = 3*y - 6 for y. 2 Solve 2*t - 155*a + 157*a + 16 = 0, t + 2*a = -7 for t. -9 Solve -56 = -4*v + 5*r, 1534088 - 1533388 = 50*v - r for v. 14 Solve -5*r - 301 = 4*a, 61*a + 0 + 11 = 4*r - 2 - 3 for r. -57 Solve 14*g - 69 = -3*w + 12*g + 37, -5*w + 206 = -4*g for w. 38 Solve 3*b - 42 = -4*j, b - 138045 = -j - 138034 for j. 9 Solve 2*y + 3*j - j - 84 = -4*j + 8*j, -4*y = 117*j + 4309 for y. 5 Solve 31609 - 31577 = 6*b + 4*i, 3*b = 5*i + 2 for b. 4 Solve 2*g = 4*o + g - 46, -2*g + 5984 = -19*o + 6208 for o. 12 Solve -2 = 4*w + 3*s + 1, -83 = 4*s - 95 for w. -3 Solve -5*a - 3307*g + 3308*g - 140 = 0, 2*a = -0*a - 4*g - 46 - 32 for a. -29 Solve 24*x - 6*x = 2*k + 15*x - 52, -3*k + 6*x = -105 for k. -1 Solve 4*g = 1518*r - 1515*r - 7, 0 = -0*g + g + 4 for r. -3 Solve -2*x + 60 = 3*z, 0 = 3*z - 2*x + 1431769 - 1431829 for z. 20 Solve 5 + 60 = -9102*y + 9100*y + 5*u, 4*y + 124 = 4*u for y. -30 Solve 3*r - 3*r - 8 - 9 - 1 = -6*l, -3*r + 3*l = 243 for r. -78 Solve 33*m + c + 267 = 0, 3*m - 6*c + 75 - 147 = -78 for m. -8 Solve -2*g + 17 - 2 + 1 = -2*x, -49 = -5*g + 2*x for g. 11 Solve -5*w + 35 = -11*r, 71*r + 71*r - 33*w = 143*r + 137 for r. -5 Solve 2*u = -c + 14, -169*c = 2*u - 177*c + 166 for u. -3 Solve 2*o + 30 = -g + 8, -44 = -0*o + 4*o + 135*g - 134*g for o. -11 Solve -938*d + 2*z + 6 = -952*d, -2*d + 15 = -5*z for d. 0 Solve -16*o + 20570*i = 20566*i - 8, 0 = 3*o + 4*i - 11 for o. 1 Solve -45892*k + 13*n + 91 = -45893*k, 4*k + 160 = -n for k. -39 Solve 73*p = 408*a + 38*p + 36*p + 6525, -5*a - 2*p - 86 = -4*p for a. -16 Solve 219049*g - 219048*g + 9 = -r, -4*g = -4*r - 12 for r. -6 Solve 0 = 188*g - 193*g + 4*l + 229, -9*g = 4*g + 4*l + 211 for g. 1 Solve 18*r = 14*r - 8882*p + 8883*p + 25, 5*p - 15 = 0 for r. 7 Solve 59 = 8265311*u - 8265314*u - 2*i, -3*i = -2*u - 35 for u. -19 Solve 64 = 3*z + m, z + 7 = 2*m + 3 + 23 for z. 21 Solve 5*f = -2*u - 484722 + 484737, 0 = u + 4*f - 12 for u. 0 Solve 0 = -i - 2*i + 60, -5*i + 100 = -143*a + 138*a for a. 0 Solve 3*g = -8*l + 29, 2673*g = -2*l + 2670*g + 5 for
{ "pile_set_name": "DM Mathematics" }
1. Let k = -5/76 + 6/19. What is the nearest to -0.2 in k, -1/6, u? -1/6 Let y = 17/28 - 6/7. Suppose -5*w + 4*u = 8, -6*w - 11 = -4*w + u. Which is the nearest to 0? (a) y (b) 5 (c) w a Let i = 17/3 + -94/15. Let u = 0 - 2. Which is the closest to u? (a) -0.2 (b) -1 (c) i b Let x = 0.3 - -0.4. Let a = 1 - x. What is the closest to -2/7 in 0.1, a, 5/4? 0.1 Let w = 0.1 - -1.9. Let v(j) = -2*j - 11. Let k be v(-7). Which is the nearest to w? (a) 4 (b) k (c) -1/2 b Let y = -1.1 + 1.3. Which is the closest to y? (a) 8 (b) -4 (c) 0.1 c Let q = 0.163 + -0.063. What is the nearest to 1/4 in q, 3/13, -4? 3/13 Let h = -0.8 + 0.4. Suppose -33 = -0*f - 3*f. Let u = 16 - f. Which is the closest to -1? (a) 3 (b) h (c) u b Let r = 7 - 4. Suppose -r*x + 7 = -2*l - 5, 4*x - 11 = l. What is the nearest to 0 in -1, x, -4? -1 Let m = 0.2 - 0. Let r be 2/7 - 16*(-7)/(-1078). What is the nearest to r in m, 3/4, 3? m Suppose -4*r - 12 = -3*y, 5*y + 3 = 4*r + 15. Let w be ((-1)/11)/(r/(-96)). Let x = w + 202/77. Which is the nearest to x? (a) 1 (b) 3 (c) -2 a Let w = -2.29 - -2.4. Let i = w - -0.69. Let a = i - -1.2. What is the nearest to 1/3 in -0.3, -1, a? -0.3 Let y be (-1)/(-18)*12/3. Let b = -25 + 25.2. What is the nearest to 8 in b, y, -2? y Let d = -0.06 + 0.36. Let r(s) = 0*s - s - 7 + s**2 - 4*s. Let z be r(6). What is the closest to z in 3, 1/10, d? 1/10 Let b be 2 + -28 + 0/(-4). Let i be 4/b + (-119)/(-182). What is the nearest to i in 2/15, -1, -2/11? 2/15 Let h = -22.89 + 23. Let l = h - 0.01. Which is the nearest to l? (a) -2/7 (b) 0.4 (c) 2 b Let u = -9 - -9.4. Let g = -8/7 + 6/7. Which is the nearest to g? (a) u (b) 0.3 (c) -4 b Let l be 2/28*-4*-1. Which is the closest to l? (a) -2 (b) -3 (c) -0.1 c Let u(c) = -c - 11. Let d be u(-11). Suppose d = -2*w + 3*w. What is the closest to w in 1, 0.5, -3? 0.5 Let v = -5 - -5.45. Let s = -0.05 + v. What is the nearest to -0.2 in 1, s, -3? s Let m = 3931 + -70721/18. Let f = -14/9 + m. Let s = -4 + 2. Which is the closest to s? (a) f (b) 5 (c) 2 a Let j = -8 - -8.8. Let z = -0.2 - -0.6. Let t = j - z. What is the nearest to 2/5 in t, 1, -0.1? t Let t be 57/138 - (-16)/184. Which is the nearest to t? (a) 4/7 (b) 3/8 (c) -3/2 a Let m = -12 - -86/7. Which is the closest to m? (a) 0.2 (b) 4 (c) -1 a Let p = 4 - -1. Let d = p + -2. Which is the closest to d? (a) 4 (b) 0 (c) -1 a Let g = 0.8 + -1.4. Let h = g + 0.6. Which is the nearest to -2/5? (a) -3 (b) h (c) -5/2 b Let w be (5 - -1)*(-2 - 158/(-78)). What is the nearest to w in -3, -4, 1? 1 Let y = 0.14 - 0.64. Which is the closest to -1/3? (a) -4/3 (b) 5 (c) y c Suppose 25 = -6*b + b. What is the closest to b in 3, 5, -3/7? -3/7 Let r = -162 + 482/3. What is the closest to 0.2 in 2/5, r, 1/7? 1/7 Let r = 0.3 + 0.7. Let b be 10/(-50) + (-26)/(-30). What is the closest to r in -3/8, 1/8, b? b Let w(g) = g - 2. Let n(r) = -3*r + 7. Let s(x) = -4*n(x) - 11*w(x). Let f be s(6). Suppose f = -3*q + q. Which is the closest to q? (a) -4/9 (b) -1 (c) 4 a Let h(u) = -u**3 - 3*u**2 - 2*u + 2. Let r be h(-2). What is the nearest to -0.1 in r, -0.4, 2/15? 2/15 Let b = -0.6 + 0.7. Let h = 1.1 - b. What is the closest to h in -3, -2, -0.1? -0.1 Let g(d) = d**3 + 7*d**2 + 7*d + 8. Let h be g(-6). Let m(t) = -t**3 + 7*t**2 - 7*t + 7. Let v be m(6). Which is the closest to 1? (a) v (b) 3 (c) h a Let z = -80 - -55. Let n = -99/4 - z. Let p = 0.18 + 3.82. Which is the closest to 0? (a) -0.5 (b) p (c) n c Suppose -q + 3*n + 15 = 0, 0 = 2*q - 4*q + 4*n + 20. Let h = -1 - -2. What is the closest to -1 in -4, h, q? q Let f = -26 - -53/2. Let t = 1.7 + -1.5. What is the closest to -2/9 in t, f, 0? 0 Suppose 0 = 21*o - 23*o - 4. What is the closest to 1/4 in -0.2, -5/3, o? -0.2 Let l = -3 - -2.5. Let n = -0.36 + 5.36. What is the closest to 2/3 in n, -1, l? l Let u = 0.8 + -2.8. Let z = -5 + 4.9. Suppose 3*l = -l + 4. Which is the closest to z? (a) u (b) 0.5 (c) l b Let g = 1.03 - 0.33. Which is the nearest to 1? (a) -1/2 (b) -0.2 (c) g c Let t be (-72)/(-468) - 2/(182/(-25)). Which is the closest to -3? (a) t (b) -4 (c) 5 b Let u = 0.2 + 0.8. Which is the closest to u? (a) -0.5 (b) -0.4 (c) -4 b Let x = -4 + 7. Which is the closest to 0? (a) x (b) -4 (c) -2/9 c Let y = -154 - -156. Let d = 0.1 + 0. What is the closest to d in 4, -0.5, y? -0.5 Let o = 57.6 + -58. Which is the nearest to -4? (a) 1 (b) 0.3 (c) o c Let s = 3 - -1. Which is the closest to -1? (a) s (b) 0.1 (c) 2/17 b Let n = -0.29 + -0.01. Let x = 0.4 + n. Let i = x + 0. Which is the nearest to i? (a) -1/4 (b) -5 (c) -4 a Let m = 18 + -13. Let b = 8 - 8.1. What is the nearest to b in 0.4, 2/9, m? 2/9 Let u = 597/7 - 85. What is the nearest to u in -0.5, -4, -2/3? -0.5 Let m = -31585/7 + 311433/70. Let k = m - -63. What is the nearest to 0.3 in k, -4, 1/4? 1/4 Let r(k) = -k**3 + k**2 - k - 2. Let u be r(0). Let j = 57 - 56.9. Which is the closest to j? (a) u (b) 2 (c) 6/5 c Let x = 0.24 + -0.15. Let y = x + 3.91. Let v = 2/175 + 344/525. Which is the closest to 0? (a) v (b) y (c) -0.3 c Let x = -2 - -3. Let y = -1/25 + -9/25. Let l be (-1 + 16/12)*1. What is the nearest to x in l, 5, y? l Let w be (-10*(-4)/(-8))/2. Suppose 3*u - 18 = 5*x, u + 17 = 6*u - 4*x. Which is the closest to -0.2? (a) u (b) 0.5 (c) w b Let j = 1 - 0. Let i = -51 + 52. What is the nearest to j in i, 0.2, -2? i Let d = -1.4 - -0.4. Let h = d + 0.7. Let t = -0.2 + h. Which is the nearest to 1? (a) 0.4 (b) t (c) 0.2 a Let h = 1.9 + -0.9. What is the closest to h in 5, 0, 4? 0 Let x = -1 + 1. Let y(l) = l + 5. Let j be y(-3). Which is the closest to -1/4? (a) 2/5 (b) x (c) j b Let i = -44 + 42. What is the closest to i in -4, -3, 4? -3 Let p be (-3 + -1 + 4)*-1. What is the closest to p in 1/2, 0, 0.4? 0 Let v = -5/3 + 17/12. Let t = 4.3 + -4. Let l = -0.3 + t. What is the nearest to 0.1 in 1, l, v? l Let d = -11 - -10.5. What is the nearest to -1 in d, -0.4, 5? d Let p(k) = -k**2 + k + 2. Let i be p(-3). Let j be 15/(-9)*2/i. Let n = 0.6 - 0.2. Which is the nearest to j? (a) 5 (b) 1/6 (c) n c Let z = 5.2 + -0.2. Let c = z + -5.4. What is the closest to -1 in c, -5, 0.3? c Let q = -9 + 5. Let w be q/(-18) + 1/36. Let d = -101 - -99. Which is the nearest to -0.1? (a) w (b) 0.3 (c) d a Let u = -5 + 5.3. Let d = u + -1.3. Let c = 44.9 + -40.9. What is the nearest to d in c, -2, -1? -1 Let x = 0.8 + -1.2. Let k = -0.1 - -0.1. Which is the nearest to -1? (a) x (b) 0.3 (c) k a Let s(j) = -2*j**3 - 4 + 2 + 4*j**2 + 0*j**3 + j**3. Let l be s(4). What is the nearest to -1/2 in l, 1/7, 2/9? 1/7 Let f = -43/350 + -1/50. Let x be (-2)/(-6) - 10/18. What is the nearest to x in f, -4, -2/7? -2/7 Let r = -4 + 7. Let l = -0.45 - 0.05. Let s = 1 + -4. Which is the closest to 0.1? (a) r (b) s (c) l c Let y be 2/3 - 51/9. Let v = -11 + 5. Let d = v - -4. Which is the nearest to -1/3? (a) 4 (b) y (c) d c Let l = -23 - -18. Let k be 14/30 - (-14)/(-21). Which is the closest to k? (a) 4 (b) l (c) -2 c Let m = -2.5 - -1.5. What is the closest to m in -2/7, -7, -5? -2/7 Let h = -395/3 + 131. Let a = 18 + -13. What is the closest to -2 in a, -1/6, h? h Let p be ((-4)/(-10))/(-3 - (-836)/280). Which is the closest to p? (a) -0.2 (b) -3/4 (c) 0.5 b Let v = -18 - -32. Let z = 17 - v. Let w be 2/(-8) + (-1)/(-8). Which is the nearest to -1? (a) -4 (b) z (c) w c Let l = -0.2 - 0. Let d = 0.045 + 7.655. Let j = 8 - d. Which is the nearest to 0.2? (a) -1/2 (b) j (c) l b Let k = 8 + -11. Let w = k - -3. Which is the nearest to w? (a) 0.2 (b) -1/9 (c) 3 b Let j = -1 - -0.99. Let w = j + 0.51. What is the closest to -7 in -2, w, 0.4? -2 Let t = -2 + 1. What is the closest to 1 in 2/19, t, -1/4? 2/19 Let l(d) = 12*d**2 + 5*d**3 - 2*d**3 - 2*d**3 - 12 + 9*d. Let p be l(-11). Let n be (-26)/40 - (-4)/p. Which is the closest to n? (a) 1/6 (b) -0.4 (c) -1/5 c Let n = 6 - 17. Let w = n - -11.3. What is the nearest to -0.1 in w, -2, -0.2? -0.2 Let w be 2*9/(-24) - -1. Which is the closest to 2/9? (a) -4 (b) 0.02 (c) w c Let w = -35 + 33. Which is the closest to -1? (a) w (b) 1/8 (c) -0.02 c Let s = -13 - -12.6. Let n = 0 - -1. What is the nearest to -0.4 in -
{ "pile_set_name": "DM Mathematics" }
3*c for j. 4 Let i(t) = -6*t**2 + 20*t - 4. Let m be i(3). Let n be m + 13 - (-1 - -1). Solve -4*z - 4*l + 5*l = -n, -l = -5*z + 18 for z. 3 Let l be (((-250)/75)/(-10))/((-3)/108*-3). Solve 0 = -l*b - x + 16, -x - 13 = -3*b - 1 for b. 4 Let d = -15694 - -15700. Solve 23*n - 28*n + 3*f = 4, -4*f - d = -n for n. -2 Let f(n) = -3*n - 14. Let l be f(-6). Suppose 0 = 394*d - 393*d - l. Solve -d*g = -12, -5*m - 3 = -0*m - g for m. 0 Let y = 371 + -239. Let c be ((-96)/y)/(6/(-33)). Let t be (-2 - -1)*-6 + -1. Solve 0 = 4*d + c*p - 8, -4*d = -t*p + 33 + 4 for d. -3 Let o = -17692 + 17697. Let d(i) = i**2 + 1. Let j be d(1). Suppose 2 = v - 3*p, -2*v + 2 = 3*p - j. Solve -8 - 6 = -o*w - m, -v*w = 4*m - 2 for w. 3 Let h(k) = 10*k - 5. Let i be h(2). Suppose 7*w = i + 6. Solve w*x + 15 = 2*r, 2*r + 2*x + 3*x + 9 = 0 for r. 3 Let z = -18 - -38. Suppose 0 = 3*k + 2*k - z. Let y = -112 - -117. Solve -k*o + 32 = -4*l, -6*o - y*l = -o for o. 4 Suppose 37*a = -110 + 665. Solve 0 = 3*t + k - a, -8*t + 20 = -4*t - 2*k for t. 5 Let g = -1959 - -1962. Let f be 19*(-1 - (-10)/5). Solve -2*l - f = -g*x, l = x - 4 - 4 for x. 3 Let v = -61 - -55. Let w be (-133)/6 + (1 - (-5)/v). Let a be w/(-4) + (3 - 15/6). Solve c + 10 = -3*o, 0 = -c - 4*o - 7 - a for c. -1 Let u = -32 - -34. Let n = 3 + u. Suppose 0*r + n*r - 50 = 0. Solve -20 = a - 3*s, -2*a + r = 8*s - 4*s for a. -5 Let z = -4637 - -4664. Solve -9 = 2*l + 5*k, 32*k - z*k + 1 = 2*l for l. -2 Suppose 280 = -15*q + 23*q. Suppose -3*s - 3*l + 20 = -2*s, -4*l + q = 3*s. Solve 0 = -s*v - 5*b - 30, -v + 9 = -6*b + 2*b for v. -3 Suppose -1 - 2 = -3*a. Let w be (0 + a)*(-6)/(-2). Let u(o) = o**3 + 25*o**2 - 2*o - 46. Let l be u(-25). Solve -5*m = -w*r - 18, -5*m = l*r - 6*r - 17 for r. -1 Let y(i) = i**2 + 3*i. Let n be y(-3). Suppose -3*v - c + 266 = n, 3*c = -3*v + 17 + 241. Let x = v - 88. Solve -3*u = g + 4 + 12, 5*u = -x*g - 28 for u. -4 Suppose 10*r = 19*r + 108. Let n be 2 + -15*80/r. Let m = 105 - n. Solve z + 4 = -3*l, -l + m*l = z - 11 for z. 5 Let i(k) = 3*k**2 + k - 2. Let f be i(1). Let d(v) = -38*v**2 - 3. Let p be d(f). Let h be ((-4)/5 - 0)*p/62. Solve -3*s - 3*y - 6 = 0, 0 + h = -s + 3*y for s. -2 Let i = -30 + 30. Suppose 4*m = -i + 8. Suppose 21 = m*x - 5*a - 3, 5*x - 5*a = 30. Solve -3*c - 11 = -2*w, -3 = x*w + 1 for c. -5 Let i(a) = 257*a - 751. Let b be i(3). Solve 4*y - b = 0, -15*r - 31 = -12*r - 5*y for r. -2 Let t be 0/(5/(5/3)). Let x be ((-22)/(-8) - 2)*4. Suppose -x*y + 5 + 1 = t. Solve 11 = 2*r - y*i - 3, 2*r - 5*i - 23 = 0 for r. 4 Suppose 2*b - 2*i = -7*i - 15, -4*i - 10 = 2*b. Solve 4*c + 2 = b*c + u, 0 = -3*u + 15 for c. -3 Let n = 827 - 673. Suppose 0 = 13*y - 24*y + n. Solve -2*f - 9 = -5*k - 23, 2*f + y = -2*k for f. -3 Suppose -11*j + 160 = 5*j. Suppose 0 = 3*i - 2*s - 55, 3*i - 2*s - 52 = 3*s. Let n = i - 8. Solve w - 2*b = 5*w - j, -4*w - b = -n for w. 3 Let a be 26/65 + (-8)/(-5). Let o be (14/8)/((-6)/(-24)). Suppose h = a*h - o. Solve 2*g = 2, -h*s - 4*g = -2*s - 9 for s. 1 Suppose -2*z = 42 - 50. Suppose -2*a + 3*i - 2*i = -z, -i - 4 = -3*a. Solve 2*r - 18 = 3*x, a*r - 3*r + 21 = -3*x for x. -4 Let h = -218 - -439. Let c = h - 220. Solve -4*s - 5*o + 44 = 13, -2*s - c = -3*o for s. 4 Suppose 1057 - 280 + 663 = 180*v. Solve 2*n - 4*g + 16 = v, 5 = 5*g for n. -2 Let y = -21356 - -21380. Solve 3*a + 2*u + y = 10, -5*a = -3*u + 17 for a. -4 Let u be 16 - (1 - -15*(-3)/(-9)). Solve -2*g + r - 6 = -11, 2*r = -g - u for g. 0 Let y(c) = -103*c**3 - 6*c**2 - 10*c - 2. Let f be y(-2). Let q = f + -814. Solve -6*m + u + 7 = -q*m, 0 = -4*u + 4 for m. 4 Suppose 29*j = 34*j - 1420. Let d = j - 280. Let t(w) = -w + 10. Let r be t(5). Solve 21 = -d*c - 2*l + l, -r*l = -c for c. -5 Suppose -317 - 23 = -5*b. Let c = b - 67. Let y be ((0 + -1)/(1/(-3)))/c. Solve 0 = s, -2*s = -y*h - 3*s + 12 for h. 4 Suppose 36*n = 37*n + 3*q - 14, 0 = 4*n - 4*q - 8. Solve -2*w - 5*v - 11 = 0, 3*v + 3 = -n*w + 2*w for w. 2 Let n = 10765 - 10761. Solve -n*a = -b - 11, 42*a = 40*a - 2*b - 2 for a. 2 Suppose -5*w + 6*w = -3*p + 47, -3*p = -3*w + 81. Suppose 14*s + 2*s = w. Solve h - 4*m = 3*h - 14, -s*h - 26 = -4*m for h. -3 Suppose -244*k + 4779 = 143. Solve 0 = -5*c + 6*i + 59, 3*i = -c + 2*c - k for c. 7 Suppose 6*z - 7*z = -24*z + 207. Solve -22*p + 17*p = 4*c + 3, -z = 4*p + c for p. -3 Let t(i) = -i**2 - 41*i - 349. Let o be t(-27). Solve 4*x + 7*j - 10*j + o = 0, -2*j + 6 = 0 for x. -5 Let w(a) = -1551*a + 10869. Let b be w(7). Solve -5*t + 14*i - b*i - 27 = 0, -17 = 3*t - 2*i for t. -5 Suppose 0 = 2*p - 2*o + 8, 4 = 93*o - 92*o. Solve 4*g - 2*f = -10, p = -2*f + 4*f + 2 for g. -3 Suppose -4*n + 2*y = -20, -4*n - 5*y + 47 = -1. Let d = -74 - -77. Solve 5*h + d*a - 1 = n*a, 0 = 2*h - a - 1 for h. 1 Let a = 376 - 372. Let b be (12/a)/((-18)/(-102)). Solve -3*s + 0 = 2*k + b, 15 = -5*s for k. -4 Let a = 128 + -126. Suppose -c + 5 = a*r - 1, -15 = -5*r - c. Solve -3*b - 11 = -2*w, -w - 2 = 3*b - r for b. -1 Let h = 10 + -1. Let q be (0 + -9)*(-6)/h. Let s be (5/(-3))/(q/(-18)). Solve s*w = d - 19, 17 = 3*w - 2*w + 5*d for w. -3 Let o(d) = -41*d + 47 + 46 + 52 + 35*d. Let w be o(22). Solve 3*p = -9*c + 4*c + w, 2*c - 2 = -2*p for p. -4 Suppose 1522 = 14*h - 900. Suppose h*b - 174*b = -4. Solve -s + 4*m + 11 = -3, -6 = 3*s + b*m for s. 2 Suppose 0 = 3*v + 3*x - 27, -4*v + x = -11. Suppose -15 = -5*c - 3*y - 1, 2*y = -v*c + 10. Let z = 106 + -104. Solve -z*w = -o + 3*w - 16, -c = 4*o + w for o. -1 Let b = -43120 + 43124. Let m = 1 + 2. Solve r - 9 = 4*v, 5 - 15 = -b*r + m*v for r. 1 Let n = -22954 - -22957. Solve -o + 2*c = 9, -n*c = -14*o + 11*o - 12 for o. 1 Let g be (60 - 39)*-1*(-3 - -2). Suppose 38*k = g*k. Solve -2*x = -5*n - 25, 3*x + x = k for n. -5 Let h = 77 + 52. Suppose 39 = -4*w - h. Let c = -39 - w. Solve c*n - 2*d + 0*d = 14, -5*d - 30 = -5*n for n. 2 Let z(d) = -21*d + 75 + 3*d**2 - 37*d - 53. Let m be z(19). Suppose 7*w + m*o - 27 = 4*w, 3*w = -2*o + 28. Solve -4*y = -2*y + f + 10, 4*y - 3*f + w = 0 for y. -4 Suppose 0 = 17*w - 9*w - 0 - 40. Solve -3*i + 2*h = 1, -10*i + w*i = -4*h + 5 for i. 3 Let u = -30 + 32. Let r = -79 + 142. Let w = r + -62. Solve 0 = q - w, 0 = f + u*f - 5*q + 11 for f. -2 Suppose 2*m - 2*h = m + 10, 5*m - h = 14. Let q(x) = -19*x + 5*x - 12*x - 137 - 54 - 2*x. Let u be q(-7). Solve -2*o - 2 = u*j + 23, 5*j + 5 = m*o for j. -3 Suppose 41*y - 38*y + 3 = 0. Let i be ((-15)/(-9))/(y/(-3)). Solve -1 = c - q + i, 3*q = 15 for c. -1 Suppose -396 = 31*w - 790 + 394. Let r be 5 - 0*(-2)/6. Solve 4*t = 3*h - 10, -r*h - 6 - 4 = w for t. -4 Let q(k) be the first derivative of k**3/3 + 11*k**2/2 + 27*k - 12. Let s be q(-9). Suppose -9 - s = -2*h. Solve -o + h = -4*b, -5*b - 4*o + 11 = -4 for b. -1 Let i(l) = -2*l**2 - 105*l + 166. Let o be i(-54). Solve -9*k = 2*y - 7*k - 20, -o*k + 5 = -3*y for y. 5 Let j = 7886 - 7878. Solve 4*g - 4*b - j = 0, 0 = -2*g - 0*b + b + 8 for g. 6 Let i be (-39)/117*4/16*0. Solve -3*l + 2*n = i, -2*n - 14 = l + 2*n for l. -2 Suppose -2*m = -2*o - 745 + 761, -m = 6. Solve -o*u = -4*q + 10, 3*u = -21*q + 18*q - 15 for q. 0 Let l(t) = -t**2 + 35*t - 193. Let g be l(7). Let j(u) = 8*u - 53. Let q be j(7). Solve 0 = g*o + z - 4, -2*o = q*z - 12 for o. 0 Let j = 1701 + -1680. Let c = -12 + 17. Solve 3*r + j = -r - c*i, 4*i + 20 = -4*r for r. -4 Let m = -2750 - -2759. Solve -4*z + 2*o = -m*z + 36, 24 = 5*z - 2*o for z. 6 Suppose 71*t - 485 + 201 = 0. Solve -t*z - k - 25 = -20, -3*k = 4*z - 1 for z. -2 Suppose -13*c - 480 = -45*c. Solve 0 = o, 3*m + 2*o - c = 4*o for m. 5 Let g be 1 - ((-35)/(-7 - -14) - -4). Solve -4*o + 5 = -g*o + 5*f, -5*o = 5*f - 5 for o. 0 Let o(n) = 3*n**2 + 9*n - 118. Let q be o(5). Solve -4*i = 4, 5 = -2*r - q*r + 3*i for r. -2 Let x(y) = -4 - 6 - 3 - y + 44*y. Let p be x(1). Suppose -5*j = 16 - 26. Solve -a + j*b - 15 = -3*b, 4*a - 5*b + p = 0 for a. -5 Let x(w) = 2*w**3 + 25*w**2 + 61*w - 15. Let b be x(-4). Solve -4*h + 3*s - b = 0, 2*s = -2*s - 4 for h. -4 Let z be -5 + 6 + 8 + -5. Suppose -z*w + 62 = 50. Solve -12 = -4*f - 4*y, -2*f = -6*f + w*y + 12 for f. 3 Let u(i) = 4*i**2 - 153*i + 44. Let o be u(38). Suppose -3*p + o + 6 = -g, -3*p + 4*g = -21. Solve v - 8 = 6*b - b, -p*v - 16 = 5*b for v. -2 Let z = -2198 - -2201. Solve 0
{ "pile_set_name": "DM Mathematics" }
t is the ten millions digit of 18105691? 1 What is the hundred thousands digit of 117169? 1 What is the hundred thousands digit of 1425683? 4 What is the ten thousands digit of 4018648? 1 What is the units digit of 804725? 5 What is the units digit of 1255165? 5 What is the tens digit of 24484267? 6 What is the hundreds digit of 496049? 0 What is the hundred thousands digit of 4645885? 6 What is the tens digit of 82989? 8 What is the units digit of 448977? 7 What is the thousands digit of 3043985? 3 What is the hundred thousands digit of 36471241? 4 What is the millions digit of 1682434? 1 What is the thousands digit of 2473925? 3 What is the thousands digit of 2276617? 6 What is the units digit of 714538? 8 What is the hundreds digit of 246963? 9 What is the hundreds digit of 14986366? 3 What is the hundreds digit of 169660? 6 What is the tens digit of 334124? 2 What is the ten thousands digit of 19712? 1 What is the ten thousands digit of 736607? 3 What is the thousands digit of 1325037? 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9 What is the hundred thousands digit of 239291? 2 What is the units digit of 67051? 1 What is the units digit of 691226? 6 What is the thousands digit of 11454528? 4 What is the thousands digit of 513066? 3 What is the ten thousands digit of 711373? 1 What is the hundreds digit of 756086? 0 What is the hundred thousands digit of 820768? 8 What is the hundred thousands digit of 2711290? 7 What is the tens digit of 688521? 2 What is the tens digit of 2117487? 8 What is the hundreds digit of 6942149? 1 What is the tens digit of 32489182? 8 What is the ten thousands digit of 1005024? 0 What is the hundred thousands digit of 234625? 2 What is the millions digit of 8237784? 8 What is the ten thousands digit of 33206045? 0 What is the tens digit of 447879? 7 What is the thousands digit of 8718129? 8 What is the units digit of 264549? 9 What is the tens digit of 1848977? 7 What is the hundreds digit of 1222080? 0 What is the thousands digit of 91730? 1 What is the thousands digit of 1097397? 7 What is the hundreds digit of 2155947? 9 What is the
{ "pile_set_name": "DM Mathematics" }
) in base 12? 2140235 2c991 (base 13) to base 3 11022202210 Convert -12043413 (base 5) to base 6. -2224102 Convert 3033111031 (base 4) to base 11. 530047 -100010010100111111001 (base 2) to base 8 -4224771 What is -33012012110 (base 4) in base 6? -220452032 d8d3 (base 16) to base 2 1101100011010011 What is -11521631 (base 7) in base 15? -1555c8 What is -468ad (base 15) in base 11? -143915 What is -80550 (base 10) in base 4? -103222212 What is -243304445 (base 6) in base 4? -101231213231 What is -1cb07c2 (base 13) in base 12? -326a379 Convert -14013101 (base 6) to base 12. -1a7191 2102133111 (base 4) to base 8 2223725 Convert -5754d (base 15) to base 16. -43dbc What is 3044440 (base 5) in base 14? 14311 -10a1e6 (base 16) to base 10 -1090022 ba6f10 (base 16) to base 2 101110100110111100010000 Convert -bb156 (base 14) to base 7. -3564536 Convert 454133 (base 6) to base 7. 220155 e41451 (base 15) to base 14 1621a61 What is 323152 (base 12) in base 7? 6512666 -13210043 (base 5) to base 14 -360d4 What is -1330103300 (base 4) in base 9? -855402 Convert 1a4b55 (base 15) to base 5. 312003210 What is -120132243 (base 5) in base 16? -86d06 Convert 3065641 (base 7) to base 16. 5a2ef 21c9620 (base 13) to base 10 10388456 What is -417220 (base 9) in base 11? -15a3a1 Convert 20232350 (base 6) to base 7. 4633422 Convert -120403234 (base 6) to base 10. -2271334 What is -34547 (base 13) in base 4? -113102033 What is a4a27 (base 11) in base 6? 3140113 What is -11d320 (base 16) in base 7? -12633500 Convert -90112 (base 16) to base 13. -178792 Convert 76334 (base 9) to base 16. c58f Convert 33451 (base 11) to base 12. 24060 -a1bc5 (base 16) to base 4 -2201233011 What is 4231324 (base 5) in base 2? 10001010010110111 Convert 186cd7 (base 16) to base 13. 44079b -4998662 (base 12) to base 8 -66677252 -4261143 (base 10) to base 3 -22000111012010 What is 1033324 (base 5) in base 15? 54c9 What is d3545 (base 14) in base 6? 14523001 -34244133 (base 6) to base 7 -11623440 -27107 (base 13) to base 12 -36085 Convert 111044 (base 7) to base 11. 13793 Convert 8b9995 (base 13) to base 9. 6187786 -133443 (base 5) to base 7 -22013 -409 (base 15) to base 11 -757 What is 39682 (base 13) in base 6? 2141224 -101212112122 (base 3) to base 11 -136859 10032023030 (base 4) to base 14 20b416 What is 73812 (base 9) in base 6? 1013445 Convert -26803a0 (base 12) to base 6. -431322320 Convert -283761 (base 12) to base 7. -5456551 -e7d5b (base 16) to base 5 -220341340 What is -493353 (base 11) in base 16? -be863 What is 24a6a7 (base 13) in base 11? 551136 11010111101011110110 (base 2) to base 4 3113223312 Convert -7bf6b1 (base 16) to base 11. -4649819 Convert 4a6410 (base 11) to base 3. 1111121011010 Convert 354a70 (base 11) to base 4. 2021130121 What is -10010101110110010010 (base 2) in base 8? -2256622 -7621 (base 15) to base 7 -132622 Convert -2562d3 (base 14) to base 3. -2102021101001 -1010110110011011010 (base 2) to base 7 -3010402 What is 15140214 (base 6) in base 12? 21466a Convert -5b5da9 (base 14) to base 13. -856a71 -85790 (base 11) to base 13 -44a07 Convert 2021122211210 (base 3) to base 8. 4502347 -e80179 (base 16) to base 5 -12343022404 What is -10626265 (base 7) in base 10? -931390 33654322 (base 9) to base 7 255555362 What is 1246212 (base 8) in base 13? c20b5 -10c39 (base 14) to base 7 -230002 -20221112002 (base 3) to base 6 -2532515 Convert -201112201122 (base 3) to base 8. -1357311 What is -12b0659 (base 12) in base 7? -43362063 225a5 (base 16) to base 15 2ba59 200010123 (base 5) to base 13 214b92 What is 2ac8a (base 16) in base 13? 619c2 What is 773868 (base 10) in base 15? 104463 238920 (base 12) to base 13 171960 -9ae29 (base 16) to base 7 -5251406 -161a098 (base 12) to base 9 -8444268 Convert 2a45179 (base 11) to base 15. 6d15c3 2103313203 (base 4) to base 15 be6cc What is -2020220102201 (base 3) in base 7? -13122010 Convert -238534 (base 11) to base 3. -201011120122 8aa873 (base 12) to base 13 5c7b79 b81272 (base 13) to base 15 5a3944 141420140 (base 5) to base 3 1101012212022 -121120101020 (base 3) to base 13 -b55a8 -57b02 (base 16) to base 10 -359170 What is -a66a39 (base 13) in base 11? -22235a2 What is 6a58a (base 14) in base 16? 3f3de What is -185a52 (base 11) in base 9? -475410 Convert -286405 (base 14) to base 13. -3a044c What is 10120012211020 (base 3) in base 5? 441100223 What is -9a792 (base 11) in base 16? -23a6b Convert 320169 (base 10) to base 2. 1001110001010101001 2524411 (base 8) to base 13 1b5cc0 Convert -10211003110 (base 4) to base 12. -49a784 -4739515 (base 11) to base 15 -ad5619 Convert 2231123002 (base 5) to base 7. 60002620 -5319d (base 15) to base 2 -1000000010111000111 19f76 (base 16) to base 7 622040 1023 (base 4) to base 11 69 What is 53040 (base 12) in base 14? 2b996 What is -1438040 (base 10) in base 13? -3b4716 What is -10644 (base 8) in base 12? -2744 Convert -6021326 (base 7) to base 12. -2a36b2 -12040020004 (base 5) to base 4 -311112131131 -12bb5a (base 15) to base 7 -10436545 -2120220101 (base 3) to base 12 -255a7 Convert -16751252 (base 8) to base 15. -5269a4 What is 3534a (base 13) in base 9? 157341 Convert 1043551101 (base 6) to base 11. 6475261 What is 5775486 (base 9) in base 11? 1841549 -241003104 (base 5) to base 15 -16dc54 -195b99 (base 12) to base 9 -748460 Convert -270062 (base 11) to base 3. -210120112001 122100100011200 (base 3) to base 10 9218331 -b3005 (base 15) to base 16 -8a6dd What is -420316 (base 9) in base 12? -100520 699952 (base 10) to base 14 143128 -43dc0 (base 14) to base 2 -101000001100000100 Convert 2225043 (base 12) to base 6. 351424123 -43652 (base 7) to base 6 -122432 What is 32357 (base 8) in base 13? 6225 Convert -1403010 (base 6) to base 10. -78414 -1110302140 (base 5) to base 2 -1001010001101000111001 What is -134548 (base 11) in base 12? -a20b7 What is 2207076 (base 11) in base 9? 7254877 -1011001100000000 (base 2) to base 3 -2022212012 Convert -7172c (base 14) to base 2. -1000010101010101100 What is -3018310 (base 10) in base 5? -1233041220 What is -51335352 (base 6) in base 3? -2202221000012 Convert -315752 (base 10) to base 9. -531115 -6a398b (base 15) to base 8 -23267535 1bc3d0 (base 15) to base 11 848000 What is 232120121 (base 4) in base 11? 11a807 4be91 (base 15) to base 8 732337 -53230 (base 11) to base 14 -2033b Convert -2212120210021 (base 3) to base 8. -5646474 Convert 4421707 (base 10) to base 2. 10000110111100001001011 Convert 2a8787 (base 14) to base 11. 923430 What is 124635054 (base 7) in base 3? 120001001100110 What is -1010112122021 (base 3) in base 16? -92c4a 12a02 (base 14) to base 4 23030222 What is -3c25 (base 16) in base 13? -7015 Convert 510051 (base 9) to base 10. 301852 What is -100101011111101001000 (base 2) in base 11? -76a094 What is -53332 (base 12) in base 13? -3a9c4 Convert 24516 (base 12) to base 8. 137742 What is 6154225 (base 9) in base 2? 1100100001101010010001 -1b816 (base 16) to base 7 -646314 What is -7355ba (base 12) in base 6? -102511554 Convert 3103120 (base 4) to base 10. 13528 132032223120 (base 4) to base 13 1845c24 24413a (base 11) to base 4 1132101222 -4706143 (base 8) to base 15 -1a48d3 What is -11011032 (base 6) in base 9? -550082 What is 31522154 (base 6) in base 15? 13515d Convert -2cc23 (base 14) to base 16. -1b60f 467090 (base 10) to base 11 299a28 What is 8a67a8 (base 11) in base 7? 15162145 Convert 15406610 (base 7) to base 4. 11221222133 What is 13002414 (base 5) in base 10? 125359 100001011111111011 (base 2) to base 8 413773 What is -4123011 (base 6) in base 2? -110000010000001111 Convert -100000000000111110110 (base 2) to base 5. -232032303 Convert 1053432 (base 15) to base 11. 6640493 Convert 92637 (base 11) to base 14. 373ad What is -264357 (base 16) in base 10? -2507607 What is 1215983 (base 10) in base 5? 302402413 What is 10436060 (base 8) in base 4? 20203300300 Convert 20e40d (base 15) to base 14. 2cb065 616015 (base 12) to base 4 11310012101 Convert -3103101 (base 4) to base 11. -a182 -ac0a1 (base 13) to base 15 -62720 -70001 (base 9) to base 11 -31563 Convert -110212200121100 (base 3) to base 2. -11010000110110010101100 -20b60 (base 14) to base 5 -10012242 15112044 (base 6) to base 16 7f9fc 57d7b2 (base 15) to base 8 20005003 Convert
{ "pile_set_name": "DM Mathematics" }
-2*j + 2*h + 4 - 2 = u, 10 = j + 2*h. List the prime factors of j. 2 Let i(p) = 9*p - 3. Let y be i(4). Let a = y - 11. List the prime factors of a. 2, 11 Let u(y) = y**3 + 5*y**2 + 3*y - 1. Let b be u(-4). Suppose b*p - 4 = -p. What are the prime factors of p*(-3 + 1 + 13)? 11 Let i be 1/(1 + 8/(-7)). Let h be 14/6*21/i. Let p = h - -11. List the prime factors of p. 2 Let t = 21 - 5. What are the prime factors of t? 2 Let l = -51 - -102. What are the prime factors of l? 3, 17 Suppose 5*l - 3*b = 160, -2*b + 160 = 5*l - 3*b. What are the prime factors of l? 2 Suppose 0 = 2*l - 4*n - 0*n, n = -4*l + 9. Let y(c) = c + 8. Let q be y(-4). Suppose l*x + 0 - q = 0. List the prime factors of x. 2 Let y(i) be the third derivative of -i**4/24 - 7*i**3/6 + 2*i**2. Let q be y(-7). Suppose q = g - 2*f + 6*f - 31, -5*g + 3*f = -40. List the prime factors of g. 11 Suppose -2*b = -8, 5*m = m - 2*b + 4. What are the prime factors of (m + 4)/(6/38)? 19 Suppose 0 = 6*z - 2*z - 108. List the prime factors of z. 3 Let a(c) = 3*c + 1. Let n be (-2)/6 - 38/(-6). Suppose -4*h + n = -6. What are the prime factors of a(h)? 2, 5 Let b(j) = -j**2 - 5*j - 4. Let l be b(-3). Let i be 2/(16/26) + 13/(-52). Suppose -i*w + l*w = -19. List the prime factors of w. 19 Let t(u) = 17*u - 12. List the prime factors of t(4). 2, 7 Let q(c) = -c**2 - 6*c. Let t be q(-5). Let h(v) = 22*v + 4. Let a be h(3). Suppose 0 = -5*l - t*r + a, -2*l + 4*r = 2*l - 64. What are the prime factors of l? 3, 5 What are the prime factors of ((-9)/6)/(4/(-8))? 3 Let a(x) = x + 7. Let j be a(-5). Suppose -j*r = r - 9. What are the prime factors of (22/(-4))/(r/(-6))? 11 Let n = -9 + 20. Let k = -3 + n. List the prime factors of k. 2 Let u be (-15)/(-6)*(-6)/(-5). Let w(m) = -1 + u - m - 5. What are the prime factors of w(-7)? 2 Let o(n) = n**3 + 11*n**2 + 8*n - 7. Let q be o(-10). Suppose -5*z + 2 = -q. Suppose 0*r + 30 = z*r. What are the prime factors of r? 2, 5 Let b(y) = y**2 + 2*y. What are the prime factors of b(5)? 5, 7 Let u(t) = t**3 - 4*t**2 + 2*t - 5. Let m be u(4). Suppose 0 = -m*n - 2*n. Suppose y - 3*y + 8 = n. List the prime factors of y. 2 Let y be (28/10)/((-9)/(-45)). Let a = 18 - y. What are the prime factors of a? 2 Let b = 72 - 47. Let o = 11 + -8. Suppose 11 + b = o*u. What are the prime factors of u? 2, 3 Suppose -25 = -2*c + 3*n, -4*n = 2*c - c - 40. List the prime factors of c. 2, 5 Let l be 2/(-12) - 75/(-18). Let n(x) = 3*x + 2. List the prime factors of n(l). 2, 7 Suppose 5*a - 5 = -0. Let c be ((a + -2)/(-1))/(-1). List the prime factors of c/4 + (-196)/(-16). 2, 3 Suppose 5*i + i = 1434. List the prime factors of i. 239 What are the prime factors of 2/(-12) - (-109)/6? 2, 3 Suppose -5*m - 2*a + 132 = -3*a, -98 = -4*m - 3*a. What are the prime factors of m? 2, 13 Suppose 17*a = 6667 - 2740. What are the prime factors of a? 3, 7, 11 Let t be 2/(-8) + 13/4. Let k(o) = -3*o**2 + o**t + 0*o + 0*o + 3*o. What are the prime factors of k(2)? 2 Let v = 43 - 13. Suppose -3*f = -4*u + v, -2*u = -0*u - f - 14. List the prime factors of u. 2, 3 Let c = -40 - -16. Let y = -12 - c. List the prime factors of y. 2, 3 Let o(z) = -z**2 - 10*z - 3. Let p be o(-9). Let x = p - -4. Suppose -x - 10 = -5*w - 5*m, 5*w = -3*m + 20. What are the prime factors of w? 2 Let k = -6 - -8. Let w = k + 15. What are the prime factors of w? 17 Suppose 97 = k - 6. What are the prime factors of k? 103 Let n(f) = -6*f - 24. What are the prime factors of n(-14)? 2, 3, 5 Suppose 3*g + g - 8 = 0. Suppose 5*s = 2*t + 5, -4*s + g*s = -2*t + 4. What are the prime factors of t? 5 Let p(a) = -a**3 + 10*a**2 - 13*a + 11. What are the prime factors of p(8)? 5, 7 Suppose 69 = a - 4*y, -20 = 5*y - y. What are the prime factors of a? 7 Let x be (-3)/(-5 - -2) + 1. Let y be (-8)/6*3/x. What are the prime factors of 2 - 8/(-3 - y)? 2, 5 Let w be ((-5)/10)/((-1)/4). Suppose -l + o + 26 = w*l, -8 = -2*o. List the prime factors of l. 2, 5 Suppose -2*v + 2*s = -s - 17, -4*s - 28 = -4*v. Let z be (-9 - -6) + 40/1. Suppose v*c - z = 11. What are the prime factors of c? 2, 3 Let n(i) = -5*i**3 - 3*i**2 + 6*i. Let p(c) = 4*c**3 + 4*c**2 - 6*c - 1. Let u(l) = 5*n(l) + 6*p(l). What are the prime factors of u(8)? 2, 5 List the prime factors of 6 - (-2*3 + (-12)/(-4)). 3 Let r(x) = -5*x + 1. Let m(f) = 0 - 9 + 26*f + 3. Let n(w) = -3*m(w) - 16*r(w). List the prime factors of n(4). 2, 5 Let b be 4 + (-3 - 3/(-1)). Suppose -b*o + 2*x = -118, -5*x + 0*x + 5 = 0. Let a = o - 17. What are the prime factors of a? 13 Let h(f) = -3*f**3 - 8*f**2 + 9*f - 5. Let z(a) = -10*a**3 - 24*a**2 + 27*a - 15. Let w(t) = -7*h(t) + 2*z(t). List the prime factors of w(-9). 5 Let r = 62 + -92. Let p = -18 - r. List the prime factors of p + -1 - (-2 - -1). 2, 3 Let q(k) = -k**3 + 4*k**2 - k. Let x be q(4). List the prime factors of (38/4)/((-2)/x). 19 What are the prime factors of 21/(5*(-3)/(-15))? 3, 7 Suppose 3*k = 4*k - 49. What are the prime factors of k? 7 Suppose 0 = -7*f + 4*f. Let g = -4 - f. List the prime factors of 2/(3/g - -1). 2 Let j(b) be the third derivative of b**5/30 + b**4/6 + 7*b**3/6 - 6*b**2. List the prime factors of j(4). 5, 11 Suppose -6 = 2*c - 3*c. What are the prime factors of (-16)/(-6) - 4/c? 2 What are the prime factors of 33 - ((-4)/2 - -1)? 2, 17 Suppose q - 54 = 115. List the prime factors of q. 13 Let s = -8 - -5. Let c be (-12)/(-10)*(-20)/s. Let n = c + 3. List the prime factors of n. 11 Let k(u) = 35 - 19*u - 35. What are the prime factors of k(-1)? 19 Let a(q) = 10*q**2 + 4*q + 8. List the prime factors of a(-3). 2, 43 Suppose -2*x + 10 + 536 = 0. What are the prime factors of x? 3, 7, 13 Let q(o) = 5*o**2 + 3*o + 6 - 2*o**2 - 2*o**2. What are the prime factors of q(-7)? 2, 17 Let g = 14 - 8. Let z(t) = t - 4. Let i be z(g). Suppose -5*s = n - 80, 2*s - 10 - 34 = i*n. List the prime factors of s. 17 Let x = -4 + 7. Suppose m = -4*y - 46, x*m - 20 = 2*y + 10. Let n = y + 22. List the prime factors of n. 2, 5 Let i(q) = 3*q**2 - 2*q + 3. Let w = 6 - 8. Let z = w + 4. What are the prime factors of i(z)? 11 Let p = 6 - -1. What are the prime factors of p? 7 Let u(a) = -a - 6. Let d be u(-9). Suppose 5*x + 18 = d*h, 5*h = 4*x + 20 + 10. List the prime factors of h. 2, 3 Let n = 115 + 50. What are the prime factors of n? 3, 5, 11 Let c = 10 - 31. List the prime factors of (c/(-6))/(1/2). 7 List the prime factors of (-2)/4 - (-145)/10. 2, 7 Let o(z) = z**3 - 4*z**2 + 5. Suppose 5*p + 0 = 4*c - 36, c - 5*p - 24 = 0. List the prime factors of o(c). 5 Let m = 594 + -317. List the prime factors of m. 277 Suppose 4*d + 5*g - 13 = 3*d, -3*g - 21 = -3*d. What are the prime factors of d? 2 Let b(z) = z**3 - 13*z**2 + 14*z - 7. Let m be (1/2)/(7/168). What are the prime factors of b(m)? 17 Let t = 418 + -268. What are the prime factors of t? 2, 3, 5 Suppose -4*k + 7 = -1. Suppose -k*s + 8 + 8 = 0. List the prime factors of s. 2 Let r be 1 + (-2)/(-2) - -9. Let g = r - -11. List the prime factors of g. 2, 11 Let r(q) = -11*q**2 + 29*q + 33. Let a(b) = -5*b**2 + 14*b + 16. Let d be (-3)/(-15) + 19/5. Let g(x) = d*r(x) - 9*a(x). List the prime factors of g(12). 2, 3 Let x = -15 + -7. Let i = x + 36. List the prime factors of i. 2, 7 Let b = -19 - -10. Let w = -3 - b. What are the prime factors of w? 2, 3 Suppose 2*j = 3*k + 8 - 22, 0 = 2*j - 5*k + 22. Let h be (0 - -5) + 2/j. Suppose 4*r - 23 = -h*x, -5*r - x = -0*x - 15. List the prime factors of r. 2 Let r = -12 - -11. Let n(d) = 1 + 0*d**2 - d**2 + 2*d**2. List the prime factors of n(r). 2 Let m = 13 + -9. Let y(q) be the second derivative of q**3/6 + 3*q**2/2 - 2*q. List the prime factors of y(m). 7 Let l be (9/12)/((-3)/(-12)). Suppose -l*t = -t - 2, 3*w = 3*t + 24. List the prime factors of w. 3 Let r = -18 - -21. List the prime factors of r. 3 Let i be 15/(-60) - (-1)/4. Suppose d = -i*d + 15. List the prime factors of d. 3, 5 Suppose 0 = -4*k - k + 55. Let d = 1 + k. Suppose -w + d = w. What are the prime factors of w? 2, 3 Suppose -2*k - 2*k = 0. What are the prime factors of 3 + (4 - 3)*k? 3 Let w(c) = -c**3 + 7*c**2 + 6*c + 12. What are the prime factors of w(7)? 2, 3 Let p be 1/1 + 32 + 2. Let y = 49 - p. Let x = y + -7. What are the prime factors of x? 7 Let n(y) = -2 + 0
{ "pile_set_name": "DM Mathematics" }
enominator of m and -59/20? 180 Let b = -22 + 31. Suppose 3*l = 3*c - 15, 10 = 4*c - 3*l - b. What is the lowest common multiple of c and 6? 12 Suppose 0 = -2*r + 30 - 10. Let j(a) = -r*a**3 + 2*a**2 + 5 - 4 + 5*a - 3*a. Calculate the lowest common multiple of 4 and j(-1). 44 Let d = 522587/528 - 777/176. Let m = d - 1001. Calculate the common denominator of m and (2047/46)/((-4)/(-2)). 12 Let c(g) = -6*g - 3. Let o be c(-2). Suppose 0 = -5*v - 5, w = -2*w + 3*v + o. Suppose -20 - 2 = -w*f. Calculate the least common multiple of f and 2. 22 Let n = -1729/60 + 581/15. Calculate the common denominator of 53/16 and n. 48 Let c = -1858299/7 - -263511. Let t = -1964 - c. What is the common denominator of 46/3 and t? 21 Suppose -3*y = 2*y. What is the lowest common multiple of ((-6)/12)/((-2)/4) and 3*((-4)/(-6) - y)? 2 Let l(i) = -3*i + 9. Let n(d) be the first derivative of -13*d**2/2 + 36*d - 4. Let t(h) = 9*l(h) - 2*n(h). What is the least common multiple of 4 and t(7)? 4 Let t(l) = -4*l**2 - 25*l + 10. Calculate the least common multiple of t(-6) and 3. 48 Let f(z) = -z**3 + 8*z**2 - 7*z + 4. Let y be f(5). What is the common denominator of 29/6 and ((-12)/y)/(6/28)? 66 Let i = -367943/15492 - -2/3873. What is the common denominator of -31/15 and i? 60 Suppose 3*k + 3*q = 246, q = -2 + 6. What is the lowest common multiple of k and 10? 390 Let n(b) = 3*b**3 + 11*b**2 - 9*b + 10. Let m(v) = -v**3 - 1. Let q(u) = 4*m(u) + n(u). Calculate the least common multiple of 12 and q(10). 48 Suppose -3*y + h + 1 = -10, -3*h = 4*y - 6. What is the common denominator of 5/16 and (y/(-72))/(1/298)? 48 Let h be -2 - (1 + 2 + -5). Suppose h*a = 5*g + 2*a - 343, 2*g - 137 = -a. What is the common denominator of -61/16 and ((-3)/(-27))/((-2)/g)? 48 Let j = 59/15 - 19/30. Calculate the common denominator of 13/5 and j. 10 Let q(g) = -3*g - 6. Calculate the least common multiple of q(-3) and 10. 30 Suppose -3*s + 2*n = 11, -4*s - n = -0*n + 22. Let w = s - -15. What is the lowest common multiple of w and 9? 90 Find the common denominator of 25/2 and 4/(-18) - 941/(-144). 16 Let t(v) = 23*v**3 + v**2 + v + 1. Let w be t(-1). Calculate the common denominator of ((-2)/w)/((-8)/(-156)) and 83/8. 88 What is the common denominator of (50/16)/(57/(-76)) and -50/27? 54 Let x be 1 - (-5)/(0 - 1). What is the smallest common multiple of 2/x*16/(-4) and 3? 6 Calculate the common denominator of -25/4 and (-7)/((-1596)/(-666)) + (0 - -1). 76 Let p = 20345/1434 - 5/239. Calculate the common denominator of 55/8 and p. 24 Let k be -3 - ((0 - 4) + -34). Suppose -w = 3*v + k, -2*w + 4 = 4*v + 74. Calculate the common denominator of w and 19. 1 Let g(j) = -9*j**3 - 2*j - 1. What is the smallest common multiple of g(-1) and (-38)/(-6) + 2/3? 70 Let t = -19163/6766 - -31/199. What is the common denominator of t and 77/10? 170 Let y(c) = -c**2 + 9*c + 6. Let l be y(7). What is the common denominator of (-69)/(-10)*25/l and 2/11? 88 Suppose 2*a = 7*a + 30. Let q = -4131/28 + 1192/7. Calculate the common denominator of q and -1 + ((-71)/a - -1). 12 Let a(c) = -c**3 + 22*c**2 + 24*c - 16. What is the lowest common multiple of 1 and a(23)? 7 Suppose -3 = -2*v + 3*v. Let o(c) = -2*c - 2. What is the lowest common multiple of o(v) and 10? 20 Suppose -3*b + b = 3*a - 69, 5*b = 4*a + 138. What is the smallest common multiple of b and 6? 30 Let l = 176489/12 - 14698. Let q be 3*71*71/3. Let m = -70473/14 + q. What is the common denominator of m and l? 84 Find the common denominator of 159/18 + (-9)/(36/8) and 91/18. 18 Let t(h) = h + 9. Let y be t(8). Suppose 5*z - y + 2 = 0. Calculate the least common multiple of z and 6. 6 Suppose 13 + 22 = 5*w. Suppose -w = -4*a - 3*h - 0*h, 3*h - 8 = -5*a. Calculate the lowest common multiple of a and 8. 8 Let s = -585 - -3475/6. Find the common denominator of s and 17/27. 54 Suppose 2*y = -3*w + 10, 2*w - 1 + 3 = 3*y. Suppose -2*d = -y*p - 12, 5*d + 2*p = 3*p + 38. Calculate the lowest common multiple of d and 2. 8 Suppose v = -3 + 4, 2*t - 4*v = 68. What is the common denominator of -95/2 and -18*(t/16 - 1)? 2 Let x = -9070/31 - 39497/155. Let m(o) = 22*o**2 - 3*o + 5. Let f be m(5). Let v = x + f. Find the common denominator of v and 131/6. 30 Let v = 4 - 1. Let o be ((-1)/3)/(v/(-9)). What is the smallest common multiple of 18 and (8 - -2) + (o - -1)? 36 Let y = 16 - 1. Suppose 4*w - 5 = -d + 3*w, -3*w = y. What is the smallest common multiple of d and 5? 10 Let t = -44047/6 - -7316. Calculate the common denominator of t and 11/5. 30 Suppose 6*z - 3*z = 156. Suppose -2*y = 5*a - 36 + 14, 3*a - 2 = -4*y. What is the common denominator of (z/3)/(11/3) and a? 11 Suppose -2*z = -21 - 1. Suppose 4*j - 3 = -z, -t = -4*j + 15. Let i = -7 - t. Calculate the least common multiple of 20 and i. 80 Let o(z) = -z**3 + z**2 - 1. Let y be -2 - (3 + -7 + 2). Suppose 3*a - a - 6 = y. What is the lowest common multiple of o(-1) and a? 3 Let q(d) = 2*d**2 - 2*d - 18. Calculate the smallest common multiple of q(6) and 5. 210 Suppose 2*l + 0*t + t = 13, -4*l + 32 = -4*t. What is the lowest common multiple of l and 4/(-14) + 46/14? 21 Suppose 31*k = 4*v + 26*k - 69, -3*v + 13 = 4*k. Let n(z) = z**3 + 4*z**2 - 3*z - 4. What is the smallest common multiple of v and n(-4)? 88 Let n = -122 + 255/2. Calculate the common denominator of n and (-1)/6*-2*1. 6 Let v = 1486/319 - 25/58. Suppose 2*i + 1 + 3 = 0. Find the common denominator of v and (i/(-8))/(10/(-485)). 88 Let u(m) = m**2 + m + 2. Let n be u(0). Suppose 4 = n*a - 18. What is the smallest common multiple of 9 and a? 99 Suppose 3*f - 8*f = 3*k - 16, 4*k + 4*f = 16. What is the lowest common multiple of k and 14? 14 Suppose -3*v + 140 = 4*s + 22, s - 106 = -3*v. What is the smallest common multiple of v and 16? 272 Find the common denominator of 46/(-22)*(-2)/(-4) and -35*6/4 + 3. 22 Suppose -k = -26 - 6. Find the common denominator of 1 - (-4)/(k/30) and -5/14. 28 Suppose 5*p + 14 = -2*o, -3*o = -5 + 11. Let y be ((-13)/p)/(-1)*-167. Let f = 1113 - y. Calculate the common denominator of f and -13/11. 22 Let q(h) = h**3 + 14*h**2 + 20*h - 8. What is the smallest common multiple of 12 and q(-12)? 120 Suppose -4*c = 5*c - 279. Calculate the smallest common multiple of 1 and c. 31 Suppose -21 = -3*n - 0*n. Calculate the least common multiple of 15 and n. 105 Find the common denominator of -86/15 and (-8)/12 + (-6)/(-945)*5. 315 Let i = -22 - -32. What is the common denominator of 1/(-66)*-26*3/2 and (-2)/6*(-213)/i? 110 Let c(z) be the third derivative of 0 + 2*z**2 + 0*z - 1/24*z**4 + 7/30*z**5 + 1/6*z**3. What is the smallest common multiple of c(1) and 14? 14 Suppose 0 = 2*s + 2*z + 64, 0*z + 8 = -2*z. Calculate the least common multiple of (-624)/s - (-4)/(-14) and (10*1)/((-2)/(-4)). 220 Let i = 280274/101 - -107/606. Let b = 2766 - i. Find the common denominator of b and ((-664)/48 - -2) + (-3 - -8). 6 Let t = -12 + 23. Calculate the least common multiple of t and 5. 55 Let j = -70 - -351/5. Let a = 75/58 - -6/29. Find the common denominator of j and a. 10 Let s be 2*(59 + (0 - 2)). Find the common denominator of ((-4)/((-80)/s))/(-6) and 17/18. 180 Let p = 218 - 207. What is the smallest common multiple of 43 and p? 473 Suppose 7*a - 3*f - 29 = 3*a, -2*a = -2*f - 16. Let d = -1 + 12. What is the smallest common multiple of a and d? 55 Let l = -2 - -2. Suppose 2*t = -l*t + 18. Let y = 29 + -21. Calculate the smallest common multiple of y and t. 72 Suppose 4*o - 17 + 5 = 0. What is the common denominator of 2/o + (-707)/336 and (2/10)/((-36)/(-350))? 144 Calculate the common denominator of 70/9 and 36/(-9) + -16*(-16)/66. 99 Let k = 944 + -563. Suppose 3 = -3*y - 0. Find the common denominator of 3*y + k/66 and 51/16. 176 Suppose 19 = -3*s + 28. Calculate the smallest common multiple of 30 and s. 30 Calculate the common denominator of ((-6)/36)/(2/(-47)) and -59/33. 132 Suppose 5*g + 104 = 18*g. Calculate the least common multiple of 12 and g. 24 Let z be -1 + (9/(-3))/(-1). Suppose -n = -z*n - 36. What is the common denominator of (-1178)/n + (-2)/9 and 101/6? 6 What is the common denominator of 1/(3*(-28)/(-12)) and (-6)/9 - 53/(-6)? 42 Let p(v) = -v**3 - 6*v**2 + 6*v. Suppose 4*c = -4, 5*x - 5*c + 15 = -15. Calcu
{ "pile_set_name": "DM Mathematics" }
wrt f. -46 Suppose -27*y = -39*y + 48. What is the second derivative of -y*a**2 - 3*a**3 - 15*a + 6 + 12*a - 11 wrt a? -18*a - 8 Let o(r) = 5*r - 25. Let d be o(8). Suppose -13 + d = g. What is the first derivative of 10 + 10 + g*f**3 + 0 wrt f? 6*f**2 Let c be (5 - 3)*-1 + 1*-83. Let p = c + 87. Find the first derivative of -508*t**2 - 27 + 256*t**2 + 259*t**p wrt t. 14*t Let h(s) = -10*s - 7. Let n be 0/(-6) - (2 - 1). Let x be h(n). What is the second derivative of 3*j + 5*j**3 - 9*j**3 - j**3 - 6*j**x wrt j? -66*j Let q(j) be the third derivative of 2317*j**7/30 - 2831*j**4/12 + 75*j**2 + 2*j + 29. What is the second derivative of q(c) wrt c? 194628*c**2 Suppose -3*y = 5*v - 224, -11*v + 4*y = -6*v - 203. What is the second derivative of -m + v + 705*m**2 + 3*m - 593*m**2 - 1 wrt m? 224 Let v be (164/(-3))/(24/(-36)). What is the second derivative of -41*u + 7*u - 72*u + 5*u**4 - v*u wrt u? 60*u**2 Let o(f) be the second derivative of 0*f**2 + 0 + 0*f**3 + 5/7*f**7 + 0*f**6 - 1/12*f**4 - 54*f + 1/20*f**5. What is the third derivative of o(l) wrt l? 1800*l**2 + 6 Let l(y) = 74*y**3 + 22*y**2 + 41*y - 4. Let n(d) = -221*d**3 - 61*d**2 - 125*d + 11. Let i(f) = 11*l(f) + 4*n(f). Find the second derivative of i(k) wrt k. -420*k - 4 Suppose 4*q = 12, -8*v + 427 = -3*v - q. What is the second derivative of -12*u - 8*u - v*u**3 + 4*u + 74*u**3 wrt u? -72*u Let u(i) be the first derivative of 97 + i**2 + 1/3*i**3 - 219*i. What is the derivative of u(b) wrt b? 2*b + 2 Suppose -15*y = -6*y - 18. What is the third derivative of 29*n**y - 5*n**6 - 4*n + 2*n**3 + 3*n - 2*n + 4*n wrt n? -600*n**3 + 12 Let c(t) = 159*t**3 - 31*t**2 + 18*t + 4. Let k(z) = -160*z**3 + 31*z**2 - 19*z - 5. Let w(j) = 5*c(j) + 4*k(j). What is the third derivative of w(h) wrt h? 930 Let g(a) be the first derivative of -5*a**2 + 8 + 22*a + 0*a**3 + 17/12*a**4. Let q(p) be the first derivative of g(p). Differentiate q(n) wrt n. 34*n Let l(m) be the second derivative of 7/6*m**4 + 0 - 1/3*m**3 + 48*m - 67/2*m**2. Differentiate l(y) with respect to y. 28*y - 2 What is the third derivative of -144*c**6 - 3322*c + 247 + 29*c**6 + 2*c**2 - 16*c**4 + 3315*c wrt c? -13800*c**3 - 384*c Let k(m) = m**3 - 21*m**2 + 37*m + 31. Let p be k(19). Find the third derivative of -57*l**2 - 30*l**2 + 114*l**3 - p*l**2 + 18*l**2 wrt l. 684 Let d(u) be the first derivative of -11*u**5/5 - 17*u**3/3 + 835*u - 66. What is the derivative of d(c) wrt c? -44*c**3 - 34*c Let x(g) be the second derivative of 293*g**5/2 - 4727*g**2 - 59*g - 17. Differentiate x(s) with respect to s. 8790*s**2 Let t be 7 + (1 - 7) + 2. Differentiate 3*n**4 - 18*n**3 + 167 + 62*n**t + 44 wrt n. 12*n**3 + 132*n**2 Let u(b) be the first derivative of -1041*b**4/4 + b**3/3 - 9*b**2 + 14*b + 1209. Find the third derivative of u(j) wrt j. -6246 Let d(y) = 2*y**2. Let s(t) = -1742*t**2 + 277*t. Let n(j) = -8*d(j) - 2*s(j). What is the second derivative of n(q) wrt q? 6936 Find the first derivative of 1206*p + 965 + 4876 - 131 - 1696 wrt p. 1206 Suppose 3*b - 3*j = 273, 0*b = 2*b + 4*j - 176. Differentiate -25 - 97*g + 48*g + b with respect to g. -49 Let s(o) = 2*o**2 + 3*o + 1. Let p(x) = 634*x**2 - 9*x + 444. Let v(u) = p(u) + 3*s(u). Differentiate v(n) wrt n. 1280*n Suppose 12 = -3*y + 5*i, -y - 3*y - 3*i = -13. Let x be ((-6)/(-4))/(21/12 - y). Find the third derivative of -17*f**x - 2*f + 13*f**2 - 11*f**4 + 2*f wrt f. -264*f Let l = -4523 + 4523. Let k(z) be the second derivative of 10*z - 3/5*z**6 + 0*z**3 + l*z**4 + 0 + 0*z**5 - 9*z**2. Differentiate k(p) with respect to p. -72*p**3 Let s(m) be the first derivative of 11/3*m**3 + 21*m**2 - 28 + 2*m. What is the second derivative of s(t) wrt t? 22 Suppose 3*b = 2*g - 8 + 159, -4*g + 175 = 3*b. Find the second derivative of -137*r**2 + 0 + 204*r**2 + 0 - b*r wrt r. 134 Let d(r) be the first derivative of -r**6/6 - 3*r**5/5 + 512*r**2 + 418. What is the second derivative of d(n) wrt n? -20*n**3 - 36*n**2 Suppose 6 = 3*j - 0*j. Suppose -j*t + 52 = -4*o, 3*o + 44 + 3 = 2*t. What is the third derivative of -t*d**2 + 377*d - 10*d**5 - 377*d wrt d? -600*d**2 Find the third derivative of 524244*q + 0*q**2 - 524719*q - 2*q**2 - 1327*q**3 wrt q. -7962 Let q(g) = 746*g**2 + 10*g - 2615. Let u(p) = 745*p**2 + 8*p - 2615. Let i(f) = -4*q(f) + 5*u(f). What is the first derivative of i(k) wrt k? 1482*k Let a(w) = -4*w + 70. Let i be a(17). What is the third derivative of 723 - 731 + 2*h + 8*h**i + 2*h - 4*h + 12*h**3 wrt h? 72 Let j(t) be the first derivative of 1840*t**7/7 + 25*t**3 - 5*t**2/2 + 419. Find the third derivative of j(m) wrt m. 220800*m**3 Let c(t) = 4*t - 56. Let a be c(15). Differentiate 54 - 80*i**4 - 57*i**4 + 159*i**a - 2*i wrt i. 88*i**3 - 2 Let s be ((-7129)/(-2) - 2/4) + 0. Let x = 6859 - s. What is the second derivative of -x - 5*p**3 + 12*p + 3295 wrt p? -30*p Let i(d) be the first derivative of -575*d**3 + 769*d**2/2 - 1346. What is the second derivative of i(r) wrt r? -3450 Let p(y) = 24*y**2 - 102*y - 176. Let m(d) = 12*d**2 - 48*d - 88. Let j(k) = 5*m(k) - 2*p(k). Find the first derivative of j(c) wrt c. 24*c - 36 Find the second derivative of -1012*v - 1752*v + 113*v + 2297*v**2 + 1924*v**2 wrt v. 8442 Let m be 39*((-6)/(-33) + (-16)/(-33)). What is the third derivative of m*o + 3*o**2 - 8*o**2 + 6*o**2 + 8*o**3 - 96*o wrt o? 48 Let w(d) = -3*d - 25. Let o be w(-10). Differentiate -o*p**2 + 30 - 2*p - 109 + 17 + 17*p wrt p. -10*p + 15 Suppose 0 = i - 5*s - 30, -3*s - 5 = -i + 15. Suppose i*c + 32 = 42. Find the third derivative of -r**2 - r**3 + 25*r**2 + 36*r**3 + 13*r**c wrt r. 210 Let i(t) = -1 - 3*t - 6 - 2 - 10. Let q be i(-7). Find the second derivative of -j**2 - 64*j**q + 21*j**2 - 45*j wrt j. -88 Let c(b) be the second derivative of 292*b**6/15 - b**4/6 - 71*b**3 - 1512*b + 1. Find the second derivative of c(p) wrt p. 7008*p**2 - 4 Let y = 57 - 53. Find the second derivative of 4 - 143*k - 64*k**y + 270*k - 136*k wrt k. -768*k**2 Let o be (-249)/(-6) + -5*3/(-30). Let w be (14/o)/(2/12). What is the first derivative of 14*c + w*c + 16 - 5*c + 10*c wrt c? 21 Let f(a) be the third derivative of -61*a**6/4 - 247*a**4/24 - 2*a**3/3 + 10*a**2 + 8. Find the second derivative of f(i) wrt i. -10980*i Let u = 31 - -11. Let v be u/10 + 2/(-10). Find the first derivative of -14*c**2 + v - 7 + 1 + 1 wrt c. -28*c Let z(v) = 1243*v**2 + 680. Let d(m) = 3731*m**2 + 2040. Let j(i) = -4*d(i) + 13*z(i). Differentiate j(n) wrt n. 2470*n Let v(l) be the second derivative of -13 + 0*l**2 + l - 23/5*l**5 - 5/4*l**4 - 1/3*l**3. What is the third derivative of v(a) wrt a? -552 Let b(g) be the first derivative of 1087*g**3 - 3732*g + 2760. Differentiate b(m) wrt m. 6522*m Let n(m) = -m - 2. Let r be n(-5). Suppose 0 + 9 = -r*q, 3*q = -3*o. What is the third derivative of 2*y**2 - 19*y**2 - o*y**3 + y**4 + 3*y**3 wrt y? 24*y Let v = -154 - -157. Let d be 6 + (-28)/12 - (-4)/(-6). Find the third derivative of 276*b**d + 268*b**3 - 8*b**2 - 544*b**v - 25*b**5 wrt b. -1500*b**2 Suppose 3*s = 4 + 23. Let i(l) = 21*l + 47. Let o(g) = -10*g - 23. Let w = -66 + 70. Let k(z) = s*o(z) + w*i(z). What is the first derivative of k(v) wrt v? -6 Suppose 5*f + 3*m = 24, -3 + 0 = -3*f + 2*m. Find the third derivative of 2*h**2 + 58*h**3 + 16 + 12 - 29 - f*h**2 wrt h. 348 Suppose 5*p = 3*o + 25 + 2, 16 = -o + 4*p. Let q be (21/14)/(2/o) - -5. What is the first derivative of 21*j**2 + 14*j**q + 80 - 69 wrt j? 70*j Let t(b) = b**3 + 3*b**2 - 23*b - 9. Let u be t(-6). What is the first derivative of 3*q + q + 65 + 3*q - u*q wrt q? -14 Let c(b) be the first derivative of 2*b**7/105 - b**5/4 + 19*b**3/3 + 6*b**2 - 52. Let a(g) be the second derivative of c(g). Differentiate a(r) wrt r. 16*r**3 - 30*r Find the second derivative of 6 - 83 + 4*w**4 - 127 + w + 2*w**4 wrt w. 72*w**2 What is the first derivative of t + 62*t**2 + 6615 + 2*t - 4116 wrt t? 124*t + 3 Suppose 8007*k - 22 = 7996*k. Let g(t) be the second derivative of 0*t**3 - 6*t - 6/5*t**5 - 1/2*t**k + 0*t**4 + 0. Differentiate g(q) with respect to q. -72*q**2 What is the first derivative of -1581 + 2 - 473*j**4 - 777*j**4 wrt j? -5000*j**3 Let c(s) be the first derivative of 8005*s**3/3 + 2471*s**2 + 1209. Find the second derivative of c(
{ "pile_set_name": "DM Mathematics" }
base 8, what is 5026740 + 5? 5026745 In base 13, what is -2 - -201a? 2018 In base 10, what is 8154 + 5? 8159 In base 2, what is -1010010111100 + 11010? -1010010100010 In base 4, what is 3320022 + 321? 3321003 In base 10, what is 0 + 58783? 58783 In base 3, what is -11002012 + 2101? -10222211 In base 5, what is 113240340 - -4? 113240344 In base 4, what is -21030033 + 1? -21030032 In base 4, what is 31213220 + 3? 31213223 In base 2, what is 0 - 10010110100000101? -10010110100000101 In base 9, what is 300757 + 3? 300761 In base 12, what is 2184b - -5? 21854 In base 5, what is -12042 - -2? -12040 In base 14, what is -64c1cb - 1? -64c1cc In base 8, what is 154500 + 2? 154502 In base 3, what is 22 - 22122201221? -22122201122 In base 6, what is -143325 - -54? -143231 In base 2, what is -10 + 10011110000? 10011101110 In base 9, what is -113560 - -4? -113555 In base 12, what is 32 - -b75? ba7 In base 14, what is -da9 - 16? -dc1 In base 7, what is -123 - -602262? 602136 In base 4, what is -2202111001 + -10? -2202111011 In base 2, what is 1111100110 + 110100000001? 1000011100111 In base 6, what is 10025 + 15454? 25523 In base 11, what is 340 + -924? -594 In base 3, what is 1210120 - 20? 1210100 In base 16, what is 55875 + -4? 55871 In base 15, what is -7c08 - e? -7c17 In base 15, what is -176 + 9? -16c In base 15, what is -2592 - a? -259c In base 2, what is -1000111 - 1100010? -10101001 In base 14, what is 555 + 347? 89c In base 2, what is 1100111 + 10010? 1111001 In base 10, what is 88 + -2216? -2128 In base 16, what is 0 - -68a81? 68a81 In base 8, what is -7316 - -15? -7301 In base 9, what is 3 + -4250? -4246 In base 10, what is -43397 + 9? -43388 In base 12, what is -b8202 + -1? -b8203 In base 10, what is -15184 + 10? -15174 In base 16, what is 0 - -5c1f? 5c1f In base 6, what is -5 - 1133510? -1133515 In base 8, what is -3 - -2753510? 2753505 In base 8, what is -3 + -25154? -25157 In base 14, what is -58 + 1121? 10a7 In base 10, what is -71 - -1807? 1736 In base 16, what is -8 + 282f2? 282ea In base 10, what is 2499 + 234? 2733 In base 12, what is 3 - b319? -b316 In base 15, what is 2d + 3? 31 In base 10, what is 106 + 567? 673 In base 14, what is -d2 + -1b55? -1c47 In base 14, what is -23b5 - -14? -23a1 In base 7, what is -3 + 4553211? 4553205 In base 14, what is -2 - -1a84db? 1a84d9 In base 12, what is 2311 - 30? 22a1 In base 8, what is 110 + -165? -55 In base 10, what is -1005322 + -3? -1005325 In base 2, what is -101 + 10111100111010? 10111100110101 In base 4, what is 31332131 - 2? 31332123 In base 6, what is 5 + -111513? -111504 In base 14, what is 0 - abc8? -abc8 In base 13, what is 1a - 137? -11a In base 7, what is -111 + 2440? 2326 In base 9, what is -688747 - -3? -688744 In base 15, what is 3760 + 9? 3769 In base 4, what is 13 - 1110223? -1110210 In base 16, what is -67 - a4? -10b In base 8, what is 4 - 436367? -436363 In base 11, what is -2a3 + 1525? 1232 In base 16, what is 19a3 + -1? 19a2 In base 9, what is 5 - -834711? 834716 In base 10, what is 87 - 1855? -1768 In base 12, what is -14334 + 0? -14334 In base 3, what is 1210 + -102021? -100111 In base 15, what is 14 - c04a? -c036 In base 16, what is 1e - 142? -124 In base 9, what is 12 - -5201? 5213 In base 3, what is 21 - -10122011012? 10122011110 In base 16, what is 2 - 5afe? -5afc In base 4, what is 11 - 2020211? -2020200 In base 15, what is 1775 + -4c? 1728 In base 14, what is 14 + -158a? -1576 In base 6, what is 3 + -32323? -32320 In base 4, what is -132022233 - -313? -132021320 In base 15, what is -13 - 307c? -3090 In base 12, what is 50 + -6886? -6836 In base 7, what is -2 - 236121? -236123 In base 15, what is 28be1 + 3? 28be4 In base 8, what is 76465 + -11? 76454 In base 16, what is -7 - f41d? -f424 In base 13, what is 155a2 - 1? 155a1 In base 10, what is -494172 + 6? -494166 In base 5, what is 1133 - -14333? 21021 In base 15, what is 2a49 + -3? 2a46 In base 4, what is 11 + -1111101? -1111030 In base 9, what is -36814 + 0? -36814 In base 8, what is 117 + 52275? 52414 In base 4, what is 1230112023 + -3? 1230112020 In base 7, what is 321 + 2635? 3256 In base 16, what is -102 + 37? -cb In base 9, what is 1615 - -71? 1686 In base 6, what is -12041 + -524? -13005 In base 8, what is 23365704 - -4? 23365710 In base 15, what is -c5d - -13? -c4a In base 3, what is 0 - 122120? -122120 In base 4, what is 100 + -2332130? -2332030 In base 7, what is 3643 + 4135? 11111 In base 10, what is -5077 + -1? -5078 In base 5, what is 410 + -224130? -223220 In base 14, what is -2c6a0 - 2? -2c6a2 In base 4, what is 13221011 + -11? 13221000 In base 10, what is 40073 + -5? 40068 In base 10, what is -428 - -180? -248 In base 13, what is 141851 - 5? 141849 In base 10, what is 6 - -4083? 4089 In base 2, what is -110011100111010111 - -1? -110011100111010110 In base 4, what is -31 - 13123001? -13123032 In base 15, what is 255b - 7? 2554 In base 3, what is 0 + -1022200110000? -1022200110000 In base 15, what is -15 + a950? a93a In base 6, what is -5 - 102325? -102334 In base 7, what is -242603 - -5? -242565 In base 9, what is 4585 - -687? 5383 In base 11, what is 12600 - -41? 12641 In base 6, what is -2 - 323342? -323344 In base 15, what is -b - 19a7? -19b3 In base 6, what is -552 + 13302? 12310 In base 14, what is -2c - -74? 46 In base 2, what is -110 + -1101? -10011 In base 9, what is -85 + 31044? 30848 In base 6, what is -540114 + 5? -540105 In base 13, what is 80 - 53a1? -5321 In base 10, what is 5 - 1228255? -1228250 In base 11, what is 25207 + -104? 25103 In base 5, what is 10224 - 114? 10110 In base 13, what is -23bc0 + -2c? -23c1c In base 12, what is -6 + 1553b? 15535 In base 9, what is 6152 + -263? 5778 In base 11, what is -3655 + 223? -3432 In base 4, what is 201 - -2122223? 2123030 In base 16, what is 107 - -6ed? 7f4 In base 11, what is -62 + -2985? -2a37 In base 2, what is 1 + 11101011011110? 11101011011111 In base 13, what is 399c7 + 4? 399cb In base 6, what is -24 - 145330? -145354 In base 13, what is 768 - -17? 782 In base 16, what is -e9fc + 0? -e9fc In base 8, what is 525 + -1044? -317 In base 2, what is -111101001011 - 11011? -111101100110 In base 2, what is 1000001 + 11011011111100? 11011100111101 In base 3, what is -120202120 - 10112? -120220002 In base 13, what is a63c6 + 6? a63cc In base 11, what is -4 + -1762a? -17633 In base 15, what is -cb8d - 4? -cb92 In base 7, what is 25305 + -25? 25250 In base 5, what is -40222 + 334? -34333 In base 7, what is -13031 + -346? -13410 In base 9, what is -563640 + 3? -563636 In base 11, what is 1229270 - 5? 1229266 In base 11, what is 7 + -2a55? -2a49 In base 14, what is 3 + -18862? -1885d In base 15, what is 4ee + 82? 581 In base 15, what is -10ec - 43? -1140 In base 14, what is 1 - -d689? d68a In base 16, what is -45f0d + -4? -45f11 In base 4, what is -110233300 - 11? -110233311 In base 14, what is 5 + 174d? 1754 In base 11, what is 69a21 - -2? 69a23 In base 8, what is -42 + -2677? -2741 In base 7, what is -3121 + 126? -2662 In base 6, what is -115105 - -202? -114503 In base 2, what is 11 + 11100011110? 11100100001 In base 3, what is -1002020120 - 21? -1002020211 In base 5, what is -211324203 - 0? -211324203 In base 10, what is -4 - 18349? -18353 In base 4, what is 2001202211 + 11? 2001202222 In base 14, what is 1a0 + -13a? 64 In base 15, what is 4137 - -8? 4140 In base 5, what is 40401033 - 1? 40401032 In base 10, what is -102 - 48809? -48911 In base 11, what is -62a0 + 157? -6144 In base 7, what is 63433631 + 5? 63433636 In base 12, what is -8b770 + 2? -8b76a In base 10, what is -45039 + 1? -45038 In base 4, what is 2120 - 3223? -1103 In base 13, what is 169 - 82? b7 In base 12, what is -abbb + -5? -b004 In base 8, what is -2012 + 3446? 1434 In base 14, what is -1331 + -7c? -13ad In base 8, what is -611 - 47? -660 In base 10, what is -49286 - -51? -49235 In base 7, what is 25 + 442? 500 In base 5, what is 22243 - 12403? 4340 In base 5, what is 3 + -13310042? -13310034 In base 11, what is 469 - -214? 682 In base 5, what is 10104333 + 0? 10104333 In base 5, what is -3223423 + 0? -3223423 In base 2, what is -100000 + -10011011001? -10011111001 In base 2, what is -100 - -1110000100000011? 1110000011111111 In base 6, what is 24111 + -1012? 23055 In bas
{ "pile_set_name": "DM Mathematics" }
54293*i. 3*i Collect the terms in -15*o**2 + 10*o + 9*o**2 - 8*o**2 + 10*o - 20*o. -14*o**2 Collect the terms in -170*o + 517*o + 583*o + 575*o. 1505*o Collect the terms in -44*j - 2 - 15*j + 8*j. -51*j - 2 Collect the terms in -110 + 49 - 4*u + 46 + 15. -4*u Collect the terms in -4*h**2 + 221*h - 109*h + 6*h**2 - 112*h - 5*h**2. -3*h**2 Collect the terms in -18*m - 13*m - 14*m - 21*m + 71*m. 5*m Collect the terms in -49*w**3 - 7873*w + 7873*w. -49*w**3 Collect the terms in -1970*r - 4752*r + 989*r. -5733*r Collect the terms in -17 - 2*w - 4534*w**2 + 4501*w**2 + 2*w. -33*w**2 - 17 Collect the terms in -8 - 351*l + 46*l - 2 + 5. -305*l - 5 Collect the terms in 423 + 335 + h**2 + h**2 - 121. 2*h**2 + 637 Collect the terms in -1647*s**2 - 1613*s**2 + 3263*s**2. 3*s**2 Collect the terms in 184*n**2 - 341*n**2 + 180*n**2. 23*n**2 Collect the terms in 2*x - 105*x - 110*x. -213*x Collect the terms in -2141*m**2 + 2211*m**2 - 181*m + 182*m. 70*m**2 + m Collect the terms in 135 - 67 + 2*z + 129 + 129. 2*z + 326 Collect the terms in 29*o + 29*o + 8*o - 14*o - 8*o. 44*o Collect the terms in 1 - 3 + 6 - 1 + 9*z. 9*z + 3 Collect the terms in -9 - 12 - 1 - 6*l. -6*l - 22 Collect the terms in -365*j**2 + 6 - 9 + 3. -365*j**2 Collect the terms in 4133*g + 42*g**2 - 2063*g - 2070*g. 42*g**2 Collect the terms in -968*c**2 + 35139 - 35139 + 985*c**2. 17*c**2 Collect the terms in -3*v + 3 - 11*v - 70*v**3 + 14*v. -70*v**3 + 3 Collect the terms in 6293 - 8*d + d - 6293. -7*d Collect the terms in -57*y**3 - 9 + 7 + 2. -57*y**3 Collect the terms in -61 + 739*i + 444 - 740*i. -i + 383 Collect the terms in -145393 - 2*x + 290782 - 145389. -2*x Collect the terms in -134 + 52123*q + 134 - 52122*q. q Collect the terms in -35*c**3 - 9*c**3 - 9*c + 12*c - 7*c + 7*c**3. -37*c**3 - 4*c Collect the terms in -2266 - 2255 + 100*b**3 + 4521. 100*b**3 Collect the terms in -1074260*o + 1074260*o - 2*o**3. -2*o**3 Collect the terms in 49396924*r + 5*r**3 - 49396924*r. 5*r**3 Collect the terms in 20*w**2 - 20*w**2 - 51*w**3 - 1 + 0. -51*w**3 - 1 Collect the terms in 2*n**3 + 0*n + 14*n**3 + 5*n + 21*n**3. 37*n**3 + 5*n Collect the terms in -36521*l**3 - 3 + 4 - 1. -36521*l**3 Collect the terms in 1333*d - 9 - 1329*d + 9. 4*d Collect the terms in 1314*f**2 + 4 - 1344*f**2 - 4 + 2*f. -30*f**2 + 2*f Collect the terms in -237*t**3 - 204*t**3 + 410*t**3. -31*t**3 Collect the terms in 200*p + 196 + 203 + 201 - 600. 200*p Collect the terms in -562*m - 2*m**3 + 562*m + 104*m**2. -2*m**3 + 104*m**2 Collect the terms in 37*r**2 - 15*r**2 - 134*r**3 - 16*r**2 + 3*r**2 - 8*r**2. -134*r**3 + r**2 Collect the terms in -22*n**3 + 71*n - 37*n - 34*n + 0*n**3 - 7*n**2. -22*n**3 - 7*n**2 Collect the terms in -146*b**2 + 25*b + 147*b**2 - 14*b - 11*b. b**2 Collect the terms in -22*p**2 + 5 - 8*p**2 + 10*p**2 - 5. -20*p**2 Collect the terms in 874*q**3 - 771 + 771. 874*q**3 Collect the terms in 49*a - 152*a**3 - 1896 + 1896 - 49*a. -152*a**3 Collect the terms in 5*r**2 + 192836772 - 192836772. 5*r**2 Collect the terms in -19*o**2 - 28*o**2 + 142*o**2 - 5*o**2. 90*o**2 Collect the terms in 433154 - 433154 + 0*x**2 + 158*x**3 + 0*x**2. 158*x**3 Collect the terms in 249 - 956*u**2 + 958*u**2 - 249. 2*u**2 Collect the terms in -397 + 101 + 99 + 101 + 96 + h**3. h**3 Collect the terms in 5148*c**2 - 10358*c**2 + 5212*c**2. 2*c**2 Collect the terms in 8*i + 307*i**2 - 130*i**2 - 8*i + 0*i. 177*i**2 Collect the terms in 2 + 5 - 4 + 42791*j - 1. 42791*j + 2 Collect the terms in -43*i**2 + 5 - 39*i**2 - 1. -82*i**2 + 4 Collect the terms in -4350*d - 1 - 1 + 25*d**3 - 24*d**3. d**3 - 4350*d - 2 Collect the terms in 315*y**2 + 4 - 4 - 99*y**2. 216*y**2 Collect the terms in 66*t - 26*t - 59*t - 18*t. -37*t Collect the terms in 237 + 245 - 735 + 5*a + 248. 5*a - 5 Collect the terms in 6*p - 3*p**2 - 19 + 0*p**2 + 19 + 6*p. -3*p**2 + 12*p Collect the terms in -2*f + 442*f**2 - 5 + 7 + 4 + 5. 442*f**2 - 2*f + 11 Collect the terms in -581*i**3 + 152*i**3 - 133*i**3 - 606*i**3. -1168*i**3 Collect the terms in 41651 + 25*q + 41645 - 83296 - 24*q. q Collect the terms in -68501*w + 34281*w + 34279*w - w**2. -w**2 + 59*w Collect the terms in 4*z + 780 + 2*z + 2*z**2 - 6*z. 2*z**2 + 780 Collect the terms in -2870*w**2 + 8600*w**2 - 2863*w**2 - 2871*w**2. -4*w**2 Collect the terms in w - 1576 - 8*w + 1576 + w**3. w**3 - 7*w Collect the terms in 908*l**3 - 482*l**3 - 478*l**3. -52*l**3 Collect the terms in 15*m - 6*m - 176 + 359 - 183. 9*m Collect the terms in -210658 - 4*y**2 + y**2 - y**2. -4*y**2 - 210658 Collect the terms in -25*d**2 + 2 - 127*d + 37*d + 45*d + 45*d. -25*d**2 + 2 Collect the terms in -13*w + 2386 - 2625 + 11*w. -2*w - 239 Collect the terms in 541*c**2 - 282*c**2 - 285*c**2. -26*c**2 Collect the terms in 128998 - 64583 - d**2 - 64415. -d**2 Collect the terms in 90*k**3 + 2036*k**2 - 2036*k**2. 90*k**3 Collect the terms in -3 + 3 - 3521*p**2 + 59890*p**2. 56369*p**2 Collect the terms in -28*r - 15*r + 10*r - 6*r. -39*r Collect the terms in c - 9511691*c**2 + 9511635*c**2 - c. -56*c**2 Collect the terms in 3174443 - 36*d**2 - 3174443. -36*d**2 Collect the terms in 2*t**3 - 4*t**3 - 54838*t + 54838*t. -2*t**3 Collect the terms in -545*f - 539*f + 1077*f. -7*f Collect the terms in b**2 + 6114417715 - 6114417715. b**2 Collect the terms in -3677628 + 3677628 - 169*r. -169*r Collect the terms in -8*f**3 - 328*f + 694*f - 366*f + 38*f**3. 30*f**3 Collect the terms in -266*g**3 + 3*g - 3*g + 52*g**3 + 134*g**3. -80*g**3 Collect the terms in -138866*n + 69420*n + 69447*n. n Collect the terms in h**3 + 29555*h - 14778*h + h**2 - 14777*h - h**2. h**3 Collect the terms in -7341*y + 481*y - 712*y + 139*y. -7433*y Collect the terms in -3*g - 5016 - 3796 - 8*g. -11*g - 8812 Collect the terms in -228*d**3 + 51*d**3 + 61*d**3 + 15*d**2 + 62*d**3. -54*d**3 + 15*d**2 Collect the terms in -18*q - 23 - 11 - 4*q. -22*q - 34 Collect the terms in -1149533*k + 1149533*k + 2*k**2. 2*k**2 Collect the terms in -91*x - 45*x - 34 + 23*x + 34. -113*x Collect the terms in -39*v**2 + 122998 - 29*v**2 - 122996. -68*v**2 + 2 Collect the terms in -10*i - 2*i**3 + 47596 - 47596. -2*i**3 - 10*i Collect the terms in 7282*w**3 + 7157*w**3 - 14553*w**3 + w**2. -114*w**3 + w**2 Collect the terms in 47 - 10*a - a**2 - 6*a**2 - 47 + 10*a. -7*a**2 Collect the terms in 572*m + 16*m**3 + 192*m**3 - 573*m. 208*m**3 - m Collect the terms in 12 - 6 - 6 + 842*q**3. 842*q**3 Collect the terms in -4*g - 14 - 1 + 23 - 3*g - 2. -7*g + 6 Collect the terms in 9*v - 3*v + 12*v + 6*v - 3*v + 0*v. 21*v Collect the terms in 1091 + 925*v**3 + 1099 - 2190. 925*v**3 Collect the terms in -66*w**2 - 186*w**2 + 2333 - 2333. -252*w**2 Collect the terms in -4369 + 8810 + 0*n**2 + 109*n**3 + 0*n**2 - 4439. 109*n**3 + 2 Collect the terms in 1 - 76780*l**2 + 0 - 1. -76780*l**2 Collect the terms in 4 - a + 14*a**3 + 7*a**3 + 6. 21*a**3 - a + 10 Collect the terms in -2653*q**3 + q**2 + 2652*q**3 - q**2. -q**3 Collect the terms in -15*b - 3 + 5*b**2 + 0 - 3 + 6. 5*b**2 - 15*b Collect the terms in 2006*l + 2*l**3 - 1044*l + 5*l**2 - 962*l - 5*l**2. 2*l**3 Collect the terms in -44*b**3 - 177*b**3 + 19*b**3. -202*b**3 Collect the terms in 0 + 1 + 723*y**2 - 1 - 610*y**2. 113*y**2 Collect the terms in -9*h - 26 - 47 - 6 + 1. -9*h - 78 Collect the terms in -261*b - 184*b - 310*b. -755*b Collect the terms in -7*z - 7*z + 26*z - 9*z - 20*z - 8*z. -25*z Collect the terms in 253*x**2 + 1079 - 1187 - 252*x**2. x**2 - 108 Collect the terms in 821*c**3 + 522*c**3 + 3*c - 2*c. 1343*c**3 + c Collect the terms in 10*p - 174 - p**2 + 12*p - 15*p. -p**2 + 7*p - 174 Collect the terms in -59 + 22 + 17 - 10*i + 20. -10*i Collect the terms in 0 + 475*a + 0 - 244*a - 230*a. a Collect the terms in -24*r + 77*r - 24*r - 29*r - 82*r**3. -82*r**3 Collect the terms in -9*u**3 - 11*u - 28*u**3 - 2*u**3 - 25*u**3. -64*u**3 - 11*u Collect the terms in 0*x + 4*x - 3*x - 89 + 83. x - 6 Collect the terms in 251*t - 750*t**3 - 251*t. -750*t**3 Collect the terms in s - 4692 - 4279 + 1780. s - 7191 Collect the terms in -8*u - 3*u - 3*u + 47901. -14*u + 47901 Collect the terms in 3850*p**2 - 3850*p**2 - 683*p**3. -683*p**3 Collect the terms in 1 - u + 5*u + 5*u + 53 + 3*u. 12*u + 54 Collect the terms in -2*l -
{ "pile_set_name": "DM Mathematics" }
the second derivative of -d**9/126 - d**5/20 - 3*d**2/2 + 2*d. Let a(f) be the first derivative of h(f). Find the third derivative of a(y) wrt y. -480*y**3 Let v be ((-4)/(-3) - 2)*-3. What is the third derivative of -x**5 - 6 + 6 + x**v wrt x? -60*x**2 Let y(v) be the second derivative of -v**7/3 + 4*v**3/3 - 6*v. What is the second derivative of y(n) wrt n? -280*n**3 Suppose -8*u = -3*u - 15. Suppose -v - 3 = l - 2, -l + u = -3*v. What is the third derivative of -i**2 + 0*i**2 + i**4 + l*i**4 wrt i? 24*i Let b(g) be the second derivative of 3*g**8/28 - 2*g**4/3 - 6*g. Find the third derivative of b(l) wrt l. 720*l**3 Find the third derivative of 0*b**3 + 4*b**3 - 215*b**2 + 205*b**2 wrt b. 24 Let f(i) be the first derivative of i**6/6 + i**4/4 + 3*i**3 + 51. What is the third derivative of f(r) wrt r? 60*r**2 + 6 Let b(r) = -3*r**3 + 1 + 0*r**3 - 4*r + 1. Let o(v) = -1. Let k(c) = b(c) + 2*o(c). Find the second derivative of k(q) wrt q. -18*q Let f(a) = -a**3 - 2*a**2 + 1. Let n = -8 + 12. Let s(x) = -2*x**3 - 5*x**2 + 2. Let q(r) = n*s(r) - 10*f(r). What is the first derivative of q(c) wrt c? 6*c**2 Let i(w) be the third derivative of -1/3*w**4 + 3/20*w**5 + 0 + 0*w**3 + 0*w + 6*w**2. What is the second derivative of i(a) wrt a? 18 Let v(i) be the third derivative of 0*i**4 + 0*i + 0*i**3 + 3*i**2 + 0 + 1/120*i**6 + 1/12*i**5. What is the third derivative of v(t) wrt t? 6 Let v = -8 + 11. Find the first derivative of 1 + 0*z**3 + 0*z**v + 1 + z**3 wrt z. 3*z**2 What is the first derivative of 0*i**2 - 2*i**2 + 9 - 6*i**2 - 2*i**2 wrt i? -20*i Let i(o) be the second derivative of -4*o**6/5 - 5*o**3/3 + 14*o. Find the second derivative of i(w) wrt w. -288*w**2 Let s(m) be the first derivative of m**2/2 + 18*m - 19. Find the first derivative of s(n) wrt n. 1 Let i(b) be the first derivative of 1/2*b**2 + 1 + 0*b**4 + 0*b**3 + 0*b - 2/5*b**5. What is the second derivative of i(y) wrt y? -24*y**2 Let l(v) be the third derivative of -4*v**6/15 - 13*v**3/2 + 22*v**2. Find the first derivative of l(u) wrt u. -96*u**2 Let r(w) = -w**4 - 7*w**3 + 7*w**2 - 3*w. Let l(y) = -4*y**3 - 2*y**2 + 0*y + y + 6*y**3. Let d(s) = 14*l(s) + 4*r(s). Find the second derivative of d(q) wrt q. -48*q**2 Suppose -5*s + 11 = -2*g, -8 = -3*g + 2*g - 2*s. Find the first derivative of 2*h**2 - g - 3*h**2 + h - h wrt h. -2*h What is the first derivative of 3*t**2 - 4*t**2 - 12 + t**2 - 3*t**4 wrt t? -12*t**3 Let f(i) be the third derivative of -i**7/70 + i**5/60 - i**2. Find the third derivative of f(p) wrt p. -72*p Let j(w) be the second derivative of w**6/10 - w**4/12 - 2*w. Find the third derivative of j(x) wrt x. 72*x Suppose 0 = -0*c + 5*c + 25. Let w = 9 + c. What is the third derivative of 3*k**5 + 4*k**5 - w*k**5 - 7*k**2 + 6*k**2 wrt k? 180*k**2 Suppose 4*a = -j + 18, -2*j - 2*a = 6 - 24. Find the second derivative of k**3 + 2*k - j*k + 2*k wrt k. 6*k Suppose 0 = v - 6*v + 20. Suppose -v*f + 8 = 3*l, 3*l - f = l - 2. What is the second derivative of l*h**5 + h**5 + 3*h - 5*h wrt h? 20*h**3 Let n(i) be the second derivative of -i**8/1680 + i**5/24 - i**4/12 - 4*i. Let x(v) be the third derivative of n(v). Differentiate x(u) with respect to u. -12*u**2 Let z(i) be the second derivative of i**5/4 - 2*i**3/3 - 2*i. What is the second derivative of z(g) wrt g? 30*g Suppose 0 = -3*r + 4 + 8. Find the first derivative of 2 + 2*c - 3 - r*c + c wrt c. -1 What is the derivative of -16 - g**3 + 10 + 47*g**3 + 2*g**4 wrt g? 8*g**3 + 138*g**2 Let z(k) = k**5 - k**3 + 1. Let b(x) = 20*x**5 - 5*x**3 - 15*x + 5. Let j(u) = -b(u) + 5*z(u). What is the second derivative of j(a) wrt a? -300*a**3 Let u = 5 + -7. Let p(l) = 2*l**2 + 5*l - 4*l + 2*l. Let x(q) = -q**3 + 3*q**2 + 4*q. Let z(n) = u*x(n) + 3*p(n). Find the second derivative of z(c) wrt c. 12*c Let m = 2 - 2. Let o = 3 + m. What is the derivative of 0*f + 4*f - o*f - 1 wrt f? 1 Let p(k) = -k**3 + k**2 - k + 1. Let g(t) = -12*t**3 + 6*t**2 - 6*t - 30. Let q(l) = -g(l) + 6*p(l). What is the first derivative of q(c) wrt c? 18*c**2 Let i = 8 - 2. What is the second derivative of i*f + 2*f**4 - 5*f**4 - 5*f wrt f? -36*f**2 Suppose 0 = 4*d - 0 - 8. Let s(g) = -g + 0*g + 3*g - d + g. Let i(k) = -k**2 - 5*k + 3. Let y(n) = 3*i(n) + 5*s(n). What is the first derivative of y(v) wrt v? -6*v Let o(u) = -17*u**4 + 5*u**3 - 5*u**2 + 5. Let g(y) = 26*y**4 - 8*y**3 + 7*y**2 - 8. Let m(b) = 5*g(b) + 8*o(b). Find the third derivative of m(f) wrt f. -144*f Let b = 16 - 14. What is the second derivative of -2*i**b - 5*i + 0*i**2 + 3*i**2 wrt i? 2 Find the third derivative of g**2 - 479*g**3 - 10*g**2 + 456*g**3 - 3*g**2 wrt g. -138 Let r be (0 - 0)/(10/(-10)). Let n(b) be the first derivative of 0*b**5 + r*b - b**3 + 2 - 1/3*b**6 + 0*b**4 + 0*b**2. Find the third derivative of n(j) wrt j. -120*j**2 Suppose 1 = o, 2*w + 3*o - 11 = -2. Let p = 6 + -3. Find the third derivative of 4*i**p + w*i**3 - 3*i**3 - i**3 - i**2 wrt i. 18 Let u(c) be the second derivative of c**7/7 - 7*c**4/4 + 22*c. What is the third derivative of u(w) wrt w? 360*w**2 Let x(d) = -d**3 - d**2 + 1. Let h(g) = 3*g**2 + 1 - 3*g + 0 - 4. Let s(y) = h(y) + 3*x(y). What is the second derivative of s(z) wrt z? -18*z What is the third derivative of 2*i**2 + i**5 - 2*i**5 - 3*i**5 - 3*i**2 wrt i? -240*i**2 Let f(v) be the first derivative of -v**6/40 - v**4/12 - 2*v**2 - 4. Let n(l) be the second derivative of f(l). What is the second derivative of n(p) wrt p? -18*p What is the first derivative of 5*r**2 + 7 - 2 - 1 wrt r? 10*r Suppose 5*w = 2*w + 9. Let f be w - (-5)/(15/18). Find the third derivative of 3*c**2 + 4*c**3 + 0*c**2 + 9 - f wrt c. 24 Let u be -2 + (2 - (2 + -6)). Find the third derivative of -6*m**u - m**2 - 3*m**2 + 0*m**2 - m**2 wrt m. -144*m Let k(w) = -12*w**3 + 7*w**2 + 8*w - 8. Let n(i) = -4*i**3 + 2*i**2 + 3*i - 3. Let h(x) = -3*k(x) + 8*n(x). What is the third derivative of h(t) wrt t? 24 Let x(l) = 2*l - 6. Let b be x(5). Let g(d) be the first derivative of 1/5*d**5 + 0*d**b + 0*d**3 - 2*d + 2 + 0*d**2. Differentiate g(r) wrt r. 4*r**3 Let n(s) be the second derivative of 0 + 5/6*s**3 + 0*s**4 + 0*s**2 - 3/20*s**5 + 5*s. What is the second derivative of n(i) wrt i? -18*i Suppose -4*l - 20 = -0*l. Let p = -3 - l. Find the second derivative of -5*v - 3*v**2 + 2*v**p + 4*v wrt v. -2 Let o(g) be the first derivative of g**6/2 - 15*g**2 - 42. Find the second derivative of o(p) wrt p. 60*p**3 Let z(f) be the first derivative of -1/6*f**4 - f + 0*f**3 - 2 + f**2. Let s(o) be the first derivative of z(o). What is the first derivative of s(u) wrt u? -4*u Let w(k) be the first derivative of -k**7 - 6*k**3 - 13. What is the third derivative of w(u) wrt u? -840*u**3 Let g(p) be the third derivative of 29*p**5/60 + p**4/4 + 27*p**2. What is the second derivative of g(i) wrt i? 58 Let d(p) = -2 + p**3 - 5*p**2 - 6*p - 2*p**3 - p**2. Let r be d(-5). Find the second derivative of 3*l + r*l**5 - l**5 - l wrt l. 40*l**3 Let w(j) be the first derivative of -j**8/560 - j**4/12 - j**3 - 1. Let v(a) be the third derivative of w(a). Find the first derivative of v(p) wrt p. -12*p**3 Let o(h) be the first derivative of -h**9/432 + h**5/40 - 4*h**3/3 - 6. Let l(j) be the third derivative of o(j). What is the second derivative of l(c) wrt c? -140*c**3 Let r(n) be the third derivative of -n**7/210 - 7*n**4/24 - n**3 + 3*n**2. Let k(s) be the first derivative of r(s). Differentiate k(c) wrt c. -12*c**2 Suppose 0*z - 2*z = 4*c, c + 7 = 3*z. Let l(q) be the third derivative of -1/6*q**3 - 1/12*q**4 + z*q**2 + 0*q + 0. Differentiate l(o) with respect to o. -2 Let x = 13 + -8. Let h = x + -3. What is the third derivative of o**2 - o**2 - 2*o**h - o**4 wrt o? -24*o Let y(q) = q - 1. Let c(j) = -3*j - 1 + 3 + 0*j + 0*j. Let z(d) = -2*c(d) - 5*y(d). What is the first derivative of z(r) wrt r? 1 Let h(k) = -15*k**3 + 2*k**2 + 9*k. Let v(r) = -15*r**3 + 3*r**2 + 8*r. Let c(y) = -3*h(y) + 2*v(y). What is the second derivative of c(n) wrt n? 90*n Let h be -1 + 5*(3 + -2). Differentiate h*m + 3 + 4*m - 4*m - m with respect to m. 3 Let b(r) = -4*r**3 + 3*r + 2. Let k(u) be the first derivative of u**2/2 + u + 2. Let p(l) = b(l) - 2*k(l). Find the second derivative of p(n) wrt n. -24*n Let h(a) be
{ "pile_set_name": "DM Mathematics" }
68. Calculate the least common multiple of p and 64. 128 Suppose 3*d = 4*d + 5*m - 16, -4*m = -3*d - 9. Let j(a) = 3*a**2 - 13*a + 12. Let w be j(d). Find the common denominator of 0 and w/(-5)*(-552)/48. 5 Suppose 21 = p + 19. Let o(w) = -w**3 - 9*w**2 + 22*w + 9. Calculate the smallest common multiple of o(-11) and p. 18 Calculate the least common multiple of 42 and (34/204)/(2/84). 42 Suppose -7*n = -n - 78. Suppose -3*b = -a - 117 - n, 0 = -3*a + 6. Let t = b - 17. Calculate the lowest common multiple of 27 and t. 27 Let y(u) = -2*u**2 + u + 3. Let f(x) = -9*x**2 + 12*x + 35. Let b(k) = f(k) - 4*y(k). Calculate the lowest common multiple of (10 - -1) + -1*2 and b(7). 90 Let y(q) = 63*q**2 + 71*q + 238. Calculate the smallest common multiple of y(-14) and 6. 11592 Let g(s) = 3*s**2 - 460*s + 1633. Calculate the lowest common multiple of g(151) and 128. 1152 Let c = -101 - -116. Suppose 3*w + 2*q = -w + 22, 3*w + 3*q = 18. Calculate the least common multiple of w and c. 15 Suppose 3*b + 10*v = 10102 + 4368, -2*b - v + 9692 = 0. What is the least common multiple of b and 2910? 14550 Suppose 2*x + 776 = 10*x. Let z = x - 61. What is the smallest common multiple of z and 72? 72 Let l = 7/566 - -2289/135274. Let r = l + -16139/4302. What is the common denominator of -4/33 and r? 198 What is the smallest common multiple of 56 - 5/((-15)/(-6)) and (144/(-864))/((-1)/108)? 54 Let d(k) = 10*k - 9. Let l be d(5). Suppose 0 = -5*m + 10, 0*m + 3*m = -5*s + 156. Let p = l - s. Calculate the lowest common multiple of p and 23. 253 Let s = -86105/18 + 4785. What is the common denominator of -41/540 and s? 540 Suppose -3*w + 5 = -2*r - 25, w + 2*r = 10. Calculate the least common multiple of 750 and w. 750 Let o = 61/88 + -5411/2728. Calculate the common denominator of 49/70*106/14 and o. 310 Find the common denominator of 2/(9*10/468) and 35/1656. 8280 Suppose -o + 2 = -6. Calculate the least common multiple of 100/15*(-1743)/(-830) and o. 56 Suppose -k - 32 = -5*k. Let r be -10 + k - 449/(-222). Let c = r + -1511/555. What is the common denominator of c and 23/26? 130 Let v = -417 - -3782/9. Find the common denominator of -59/42 and v. 126 Let n = -1080571/194190 - 14/6473. Let b(w) = 870*w + 5. Let j be b(3). Let t = -10383/4 + j. Calculate the common denominator of t and n. 60 Let c be (4/12)/((-2)/(-372)) - -1. Suppose 5*b - c = -10*u + 6*u, -u = -5*b + 53. What is the lowest common multiple of b and 230? 2530 Let k(o) = o**2 + 45*o + 423. What is the smallest common multiple of 1379 and k(-11)? 9653 Let t = 1515 + -40900/27. Find the common denominator of -25/141 and t. 1269 Let v = 14 - 8. Suppose 2*z - 5*z = -v. Suppose 124*j - 99*j = 150. Calculate the smallest common multiple of z and j. 6 Suppose -d = -b - 134, 4*d + b = -0*b + 516. What is the common denominator of (-3)/(-9) + 15/d and 79/2? 78 Calculate the common denominator of 73/459 and 25580/2312 - (21 + -10). 15606 Let o be 5 - (1 - 1/1). Suppose -f + 5 = -o. Suppose 4 = -9*y + f*y. What is the least common multiple of y and 9? 36 Let i be 119/42 - 2/(-12). Let u = 19 - 14. Calculate the lowest common multiple of -3 + (14 - 0/i) and u. 55 Let d = 216 + -108. Let q = -535 - -537. What is the smallest common multiple of d and q? 108 Suppose 0 = -3*x + 2*r + 146, 0 = -2*x - 3*x + r + 255. What is the least common multiple of x and 1264? 16432 Let r be 48/(-20)*10/(-4). Let y be (((-3)/(-297))/(-1))/(15/r). Let p = 1652/495 + y. What is the common denominator of p and 29/19? 57 Let d be (-498)/(7/((-5026)/(-57664))). Let z = d - -12/901. Find the common denominator of z and 3 + (111/(-9))/((-4)/3). 16 What is the smallest common multiple of 56*(22/(352/(-24)))/(12/(-10)) and 1110? 7770 Suppose 0 = 94*c - 78*c - 80. Suppose -3*g - 12 = 0, 0 = -c*w + 5*g - g + 41. What is the lowest common multiple of w and 60? 60 Suppose -2*z - 2*z + 12 = 0. Let t = z + 15. What is the least common multiple of t and (-3)/(3/((-4)/3*3))? 36 Let k(n) = n**3 + 7*n**2 + n + 8. What is the lowest common multiple of k(-7) and -6*(-12)/(-63) - (-58)/14? 3 Suppose -3*z + 4*z = 5*a - 241, 45 = a - z. Suppose -13 = 6*j - a. Suppose 0 = -4*l + 42 + 70. What is the lowest common multiple of j and l? 84 Let j(w) = -2*w + 1. Suppose 7*z - 3*z = 96. Let l = -9 + z. What is the lowest common multiple of l and j(-16)? 165 Let x = 1182871/274516 + -798/187. Find the common denominator of x and -41/8. 2936 Let a(z) = 4*z - 12. Let k be a(4). Suppose -b - 3*l = -87, k*b + 3*l = 77 + 244. Find the common denominator of -37/15 and (70/(-1008))/((-2)/b). 120 What is the lowest common multiple of 445 and 70/((42/1246)/1*2/3)? 3115 Suppose 3*s + 89 + 906 = -4*n, 0 = n - 3*s + 260. Let t = n + 253. What is the lowest common multiple of 10 and t? 10 Suppose -11*t = -13 + 2. Find the common denominator of 1781/(-78) + (t - 3) and -99/106. 318 Let t(i) = 2*i**2 + 3*i - 86. Let b be t(-20). Let m = b + -32701/50. What is the common denominator of m and -33/35? 350 Let l = 239 - 199. Calculate the smallest common multiple of 3 and (-2 - -1)/(-1)*(l + -7). 33 Let y be (1 + 1)*53/(-2). Calculate the common denominator of y/32 + 1 + -1 and (-3750)/(-1400)*-3*14/24. 32 Let m(j) = -j**3 - 10*j**2 + 24. Calculate the lowest common multiple of m(-10) and 410/18 - -1 - 20/(-90). 24 Let l = 106 + -68. Let x = -69 + l. Let p = x + 35. What is the lowest common multiple of p and 17? 68 Calculate the common denominator of 22 - (134475/19184 + 15) and -75/1526. 12208 Let i(v) be the first derivative of v**3/3 + 9*v**2/2 + 7*v + 40. What is the least common multiple of i(-9) and 2 + 3/1 + 0? 35 What is the least common multiple of 64 and ((-584)/(-2) - 1) + 32 + -35? 576 Let k = 23 - 20. Suppose 4*f = k + 9. Calculate the least common multiple of 6 and f. 6 Suppose -3 = 4*m + 13. Let u(j) be the first derivative of j**3/3 - 8*j - 10. Calculate the lowest common multiple of 18 and u(m). 72 Suppose 12*i - 160 = -292. Calculate the common denominator of (-4)/i*(-51)/6 and -38/7. 77 Let a(z) = 12 + 5*z**3 + 20 - 14*z**3 + 10*z**3 + 3*z - 11*z**2 + 4*z. What is the least common multiple of a(10) and 9? 18 Let t = 1986 + -2706. Let u = -113 + 13. Calculate the smallest common multiple of 44 and 20/6*t/u. 264 What is the common denominator of 13/480 and 5918/780 + 24*(-14)/42? 6240 Let f = -106/21 + 485/42. Find the common denominator of f and (2/(-3))/(160/(-1710)). 8 Suppose b = -b - 8, -2*n = -4*b + 324. Let s = 182 + n. Calculate the smallest common multiple of s and 27. 108 Let o(t) = 56*t + 22. Calculate the smallest common multiple of o(2) and 201. 402 Suppose -q = -5*g - 899, -204 - 528 = 4*g - 4*q. Let x = -9 - g. What is the least common multiple of 14 and x? 1190 What is the least common multiple of 940 and (5 - 145)*(-270)/378? 4700 Let u = -32 + 150. Let a = -109 + u. What is the lowest common multiple of a and ((-12)/(-14))/((-2)/(-14))? 18 Let f(r) = -4*r + 28. Let m be f(-7). What is the common denominator of 0 + (-2)/((-16)/174) and (506/m)/(-11) - 2/8? 28 What is the common denominator of ((-1290)/(-16))/(-3)*(-220)/(-7150) and 69/52? 52 Let h = 462203/90 - 46160/9. Let n = 5293223/242 + -21873. Calculate the common denominator of n and h. 1210 Suppose 3130 = 4*y - 3002. Calculate the common denominator of (1 + 1 + -1)*y/693 and -64/87. 957 Let x = -4380 - -5556. Calculate the least common multiple of x and 441. 3528 Let r(c) = c**2 + 2*c + 12. Suppose 86*s = 72*s + 56. Suppose s*y + 7 - 85 = -5*k, 4*k + 4*y = 64. Calculate the lowest common multiple of k and r(-4). 140 Let x(n) = n**2 - 5. Suppose -29 = -9*r + 25. Let w be x(r). Suppose z = 69 - w. Calculate the common denominator of z and 55/3. 3 Suppose u + 64*r = 67*r - 13, -r + 7 = u. Calculate the least common multiple of 2228 and u. 2228 Let s = 6659569 + -152743874553/22936. Find the common denominator of 59/2 and s. 22936 Let p = 1/187380 + -5434643/116737740. What is the common denominator of 37/7 and p? 623 Let l = 0 - -15. Calculate the common denominator of (-675)/48 + (40 - 21) and 269/(-24) - (-5)/l. 16 Let s(b) = -b**2 + 3*b + 38. Let n be s(10). Let f be 1845276/n*(-4)/18 - 3. Let a = 12799 - f. Calculate the common denominator of a and 63/10. 60 Let r be -5*(2 - 27/(-15)
{ "pile_set_name": "DM Mathematics" }
50*u**2) to the form x*u**2 + j + s*u and give x. -4618 Rearrange 5*c + 2*c + 5*c - 2*c - 3*c + 4*c + (87*c - 97*c + 49*c)*(0 + 0 - 2) to g*c + p and give g. -67 Express (-4951*n**2 - 4633*n**2 - 3530*n**2 + 1349*n**2)*(-2*n**2 - 2*n**2 - n**2) as u*n**3 + r*n + d + f*n**4 + x*n**2 and give r. 0 Rearrange (3 - 2 - 3 - g)*(0 - 2 + 9) + (-g + 6*g - 3*g)*(2 + 3 - 4) - 24*g - 20 + 20 + 10*g + 7*g - 16*g to l + v*g and give v. -28 Rearrange (2*t - 5 + 5)*(-4 + 4 + 2)*(-7869 + 18*t + 7869)*(-1 - 1 + 0) to the form w*t**2 + h + v*t and give v. 0 Express 2 - 2*u**3 + 35*u - 63*u + 44*u - 15*u**2 - 2 - 3 as c + v*u + y*u**2 + z*u**3 and give c. -3 Express (24*l**3 - 36*l**3 + 16*l**3)*(66 + 586*l - 66)*(2 + 3 - 4 + (-2 - 5 + 5)*(-3 + 2 + 3)) in the form u*l**2 + b + n*l**4 + d*l + g*l**3 and give n. -7032 Express -4 + 4*c - 8*c**2 - 5*c - 13 + 7*c**2 as d*c + j*c**2 + h and give h. -17 Express (a**2 - 4*a**2 - a**2)*(-3 + 3 - 2 + (12 + 4 - 3)*(-4 + 4 - 2) - 4 - 3 + 5 - 4 + 1 - 2) as u + s*a**2 + o*a and give s. 140 Express -4*k**2 + 3432*k + 6*k**2 + 43 - 3447*k in the form r + w*k**2 + i*k and give i. -15 Express -3919*k + 1320*k + 1850*k - 3295*k - 5452*k in the form w + y*k and give y. -9496 Rearrange -1 + 2*p + 1 + 3011*p - 1450*p + 1869*p + (-4*p + p + 4*p)*(9 - 9 - 5) to the form z*p + b and give z. 3427 Rearrange (0 - 3 + 1)*(d**4 - 3*d**4 + 5*d**4)*(709 + 934 - 588) to the form x*d**4 + w*d + z*d**2 + m + h*d**3 and give x. -6330 Rearrange -664*t - 173*t + 2027*t + (3 - 4 - 1)*(-3 + 2*t + 3) to v + h*t and give h. 1186 Rearrange -6687*o - 9167*o - 8935*o to the form z*o + s and give z. -24789 Rearrange (-a - 5*a - 4*a)*(2*a - 4*a - a)*(-301 - 375 - 149) to q*a + d*a**2 + m and give d. -24750 Rearrange 379*l**4 + 252 - 380*l**4 - 368 - 3*l - 6*l**3 + 8*l**3 to the form w + x*l**3 + p*l**4 + k*l**2 + n*l and give n. -3 Express 563*b + 562*b - 652 - 1118*b + b + 0 + 0 + (-2 - 2 + 2)*(2*b + 0*b + 0*b) in the form q*b + c and give c. -652 Rearrange (-5 - 106*n + 5)*(-n + 2*n + 0*n) + (-3 + 1 + 4 + 2*n)*(139 - 202*n - 139) to the form s + u*n + b*n**2 and give u. -404 Express (34800*y + 1 - 208*y**2 - 34800*y)*(3*y + 0*y - y) as i + a*y**2 + r*y + v*y**3 and give v. -416 Express (-17 - 27 + 15)*(9*u + 5*u + 42*u) + 2 + 0*u - 2*u + 0*u as y*u + n and give n. 2 Rearrange -1760*z - 825 + 3590*z - 188 - 1823*z to v*z + w and give v. 7 Express 10*l**2 - 16 - 2*l + 8*l + 11*l + 15 in the form w + x*l**2 + z*l and give z. 17 Rearrange -5827*t + 12628*t - 12354*t - 8181*t to s*t + d and give s. -13734 Express (-2*h**3 + 0 + 0)*(26830627*h + 18 - 20 - 26824513*h) as i*h**2 + m + s*h**3 + g*h + o*h**4 and give o. -12228 Express -3 + 0 + 18586659*g**2 - 18582065*g**2 as u*g**2 + o + m*g and give o. -3 Rearrange (2327*w**3 - 5*w - 9043*w**3 - 11671*w**3 + 5*w)*(-3*w + 2*w + 2*w) to the form z*w**3 + q*w**2 + h*w + f + n*w**4 and give n. -18387 Rearrange -17708*w + 17705*w + 56 - 12 - w**4 to t*w + m*w**3 + k + a*w**2 + b*w**4 and give b. -1 Rearrange 89*s**2 - 215*s**2 - 173*s**2 + (8*s - s - s)*(-s + 0*s - s) to the form v*s**2 + d + f*s and give v. -311 Express (33*p**2 - 134*p**2 + p - 3*p - 9*p + 11*p)*(-44257 + 44257 + 219*p) as x*p**2 + l*p**3 + n*p + v and give l. -22119 Express 6 + 0*y**4 + 2*y**4 - 25*y + 918*y**2 - 919*y**2 - 7 in the form k*y + h*y**2 + x*y**4 + z*y**3 + t and give t. -1 Express (5*d - 2*d - 2*d)*(-4 - 2 + 2) + (10*d - 7*d + 8*d)*(-4 - 13 - 36 - 26) in the form f*d + c and give f. -873 Express -3 + 3 + n**3 + (36 - 401 - 558)*(-3*n**3 - 3*n**3 + 7*n**3) as d*n**3 + f + k*n**2 + g*n and give d. -922 Express (-473*c - 6 + 275*c + 1 + 282*c)*(-2*c**2 - c**2 + 7*c**2) as d*c**3 + y*c + o*c**2 + g and give o. -20 Rearrange -2*k**3 + 4*k**3 + 5*k**4 - 21*k**2 + 19*k**2 - 2*k + 32*k**2 + 4*k to w*k**3 + t*k**2 + s + f*k**4 + n*k and give t. 30 Express 3331*w - 1073*w - 8919*w - 10359*w as h + q*w and give q. -17020 Express -13*n**4 - 6*n**2 - 5*n**3 + 8*n**4 + 145*n + 7*n**4 - 4*n**3 + 7*n**2 in the form c*n + b + z*n**3 + y*n**4 + g*n**2 and give c. 145 Express -51 - 7*b - 76 - 65 - 213 - 152 as m*b + g and give m. -7 Rearrange -1 + c**2 - 10*c**2 + 2 + (2*c + 2*c - 5*c)*(3*c - 2*c + c) + (c**2 - 4*c**2 + 13*c**2)*(-5 - 2 + 6) to the form x*c**2 + o*c + s and give s. 1 Express -14 - 11 + 16*p + 22 in the form w*p + v and give v. -3 Express -24 - 2*l**2 + 103 + 6*l**3 + 8*l - 22 - 25 - 25 in the form b*l**3 + n*l + x + a*l**2 and give a. -2 Rearrange -3 + 10*c**3 - 11*c**3 - c + 2*c**3 + 2 + 2 - 2960*c**2 to the form r*c**3 + y*c + w + m*c**2 and give r. 1 Express 2540*s + 8793*s + 17730*s - 1 as w*s + a and give w. 29063 Rearrange (-g + 2 - 2 + (4 - 1 - 5)*(-g + g - 2*g) - g + 0*g + 0*g + 0 + 0 + g)*(135 - 952 - 2079 + 166) to the form f*g + u and give f. -8190 Express 2107*y + 5009*y + 770*y - 31*y + 1298*y in the form v + m*y and give m. 9153 Rearrange (-m + 1278 - 2*m - 1272)*(1 + 3*m - 6*m + 5*m - 2 + 2 - 2*m + (2 - 2 + 1)*(-2*m + m + 0*m) - 2*m - m - 2*m) to q + x*m**2 + j*m and give x. 18 Express (2875*i**3 + 3836*i**3 - 7528*i**3)*(4*i - 4*i - i) + 53*i**3 - 53*i**3 - 9*i**4 in the form w*i**3 + k*i + p*i**4 + m*i**2 + j and give p. 808 Express (13*u**2 - 58*u + 30*u**2 - 42*u**2)*(3 - 2 - 5) as s*u**2 + x*u + o and give x. 232 Express (3 + 1 - 6)*(2 - 29 + 9 + 68203*p + 11 + 7) in the form r*p + c and give r. -136406 Express -2*w**4 - 346 - 171*w**2 + 11408*w + 347 - 11399*w in the form i*w + u + g*w**2 + s*w**3 + z*w**4 and give z. -2 Rearrange -183 + 13068517*s + 4*s**3 + s**2 - 13068517*s to the form c + z*s**2 + m*s + x*s**3 and give z. 1 Rearrange 2*r + 887 + 2*r**3 - 1751 - 2412 - 3269 to x*r + a + d*r**2 + y*r**3 and give x. 2 Express 87*h**2 - 58*h + 27*h - 3*h**3 - 250*h**2 + 33*h as d*h**3 + p*h**2 + u + c*h and give p. -163 Express -2*z + z + 0*z + 4*z + 0*z - 3*z - z + 3*z - z + (4 - 1 - 1)*(2 - 2 + 2*z) + (-36*z - 2*z - 13*z)*(2 - 2 - 5) in the form n + f*z and give f. 260 Express (5346*t**2 - 5323 + 1383*t**2 - 5310 + 10633)*(4 - t - 4) in the form q*t**2 + x + z*t + u*t**3 and give u. -6729 Express -47 + 62*z**2 - 10320764*z + 10320764*z in the form y*z + p*z**2 + u and give p. 62 Rearrange -775 - 704 - 17*f**4 - 27*f**2 + 1477 to the form m*f**4 + h*f**3 + o*f**2 + k*f + x and give x. -2 Express 11*l - 4*l + 40*l**2 + 2*l**3 + 0*l + 4*l - 3*l as c + d*l**2 + w*l + r*l**3 and give r. 2 Rearrange (-29 - 3377 - 1463)*(-3*b - 2*b + 3*b)*(-b - b + 0*b) to the form m + k*b**2 + n*b and give m. 0 Express 1 + g - 1 + (0*g + g + g)*(-3 + 2 + 2) + 12*g + 0*g + 0*g + g + 7*g - 4*g - 6 - 20 - 72*g + 70*g as v + k*g and give v. -26 Rearrange (19*j**3 + 15*j - 30*j**3 + 13*j**3)*(6*j + 196*j + 227 - 230) to the form l*j**2 + x + v*j**3 + u*j + g*j**4 and give l. 3030 Rearrange -341*a**2 - 237*a**2 + 861*a**2 + (3*a + a + 2 - 3*a)*(-a + 5*a - a) to the form m + h*a + g*a**2 and give g. 286 Express -7*j + 67*j - 259*j**4 - 3*j**3 - 8 - 11*j + 261*j**4 as s*j**4 + h*j**3 + q + y*j**2 + n*j and give h. -3 Rearrange -431*v - 105*v - 121 - 123 + 71*v + 239 to o*v + a and give a. -5 Express (-t**2 - 2*t + 2*t)*(-2*t + 0 + 0)*(16224 - 3390*t - 16224) in the form o*t**4 + b*t + s*t**2 + q*t**3 + l and give o. -6780 Rearrange (-1 + 1 + 2*j)*(-10 - 3*j + 10)*(4*j + 6*j + 7*j) + (6 + 3*j - 6)*(9 - 9 + 3*j**2) to n*j**2 + m*j + o + i*j**3 and give i. -93 Express 10*v**3 + 31 - 2*v**2 - 4 + 2*v - 9*v**3 + 0*v**3 + 21 as j*v**3 + p + q*v + x*v**2 and give x. -2 Express v**3 + v**2 - 3*v**3 + 2*v**3 + 176 - v**3 - 3*v**3 as i*v**2 + x*v**3 + f + l*v and give i. 1 Rearrange -4490*m**4 + m + 4499*m**4 + 0*m - 2*m**2 + m**3 to the form s*m**4 + a*m**3 + b + k*m + w*m**2 and give w. -2 Express 3 + 3 + 2 + 796*s**2 - 16 + 10 in the form d*s**2 + n + c*s and give d. 796 Rearrange (4*r - 3*r + r)*(-2*r - 5 + 5) + 936694 - 936694 + 17*r**2 + 12*r + (-r + 2*r - 2*r)*(-2*r - 1 + 1) to the form c*r + l + a*r**2 and give c. 12 Rearrange (21*j + 12 - 12)*(27 + 161 + 179) to l*j + h and give l. 7707 Rearrange (90761*v + 9048*v - 13435*v)*(-4 + 0 + 2) to the form l + r*v and give r. -172748 Rearrange (-11*b**2 - 49*b**2 + 94*b**2)*(2 - 2 + 4)*(4 + 1 - 3) to d*b + n*b**2 + q and give n. 272 Rearrange (10403*s**2 - 22989*s**2 + 10459*s**2)*(0 + 7 + 2)*(2 + 1
{ "pile_set_name": "DM Mathematics" }
6 in increasing order. v, -3/7, -0.1, 1/66 Suppose -2*m = 12, -56 = -u + 4*m - 38. Put 5, -5, u, 45, 2 in ascending order. u, -5, 2, 5, 45 Suppose 153 = 270*t + 142*t - 1495. Sort t, 0.4, 4/27 in increasing order. 4/27, 0.4, t Suppose 1 + 4 = -4*u + s, 3*s = 3*u + 15. Suppose u = 4*a + 5*z + 17, -5*a = -0*z - z + 14. Let j be ((-10)/3)/(a/9). Put -4, j, 3 in descending order. j, 3, -4 Let b = 11703 + -11701. Put 21, -1, b, 59 in ascending order. -1, b, 21, 59 Let n = 14945 - 14942. Let p = 2 + -1.9. Put -5, p, n, 2/19 in decreasing order. n, 2/19, p, -5 Let z = -393.51 - -393.6. Sort 2/3, z, -2/15 in descending order. 2/3, z, -2/15 Let q = -4382 + 4185. Sort q, -1, 4 in descending order. 4, -1, q Let d = -0.26015 - -0.06015. Put -0.037, -0.3, 3, 4/7, d in ascending order. -0.3, d, -0.037, 4/7, 3 Let c be (-148)/210 - 252/(-315). Sort -16, c, -3 in decreasing order. c, -3, -16 Let n = -4 - -9. Let w(r) = -2*r**3 + 4*r**2 + 2. Suppose -19 = 4*v + f - 30, -19 = -2*v - 5*f. Let d be w(v). Put 0, n, d in increasing order. 0, d, n Let t = -9341 + 9340. Sort -3, -5, t, -4, -2 in ascending order. -5, -4, -3, -2, t Let c = -115 + 114.899. Let h = -4.101 - c. Sort h, -2, -6 in decreasing order. -2, h, -6 Let a be (54/(-2))/((-1)/2). Let d = -5575 - -5580. Put a, d, -2 in decreasing order. a, d, -2 Let o = -6538/93 + 2138/31. Put 0, o, -1, -3/1211 in ascending order. o, -1, -3/1211, 0 Let h = -41.9 - -14.9. Let s = -26.77 - h. Put s, 3, -5 in ascending order. -5, s, 3 Let h be -41*2/(-126) - 1 - 804/(-1407). Sort h, 1, 0.6, -0.2, -2/9 in descending order. 1, 0.6, h, -0.2, -2/9 Suppose l + 13 = 3*y, 2*l + 0*l - 28 = -3*y. Let i be 2/y - 161/609. Sort i, -0.5, -2 in ascending order. -2, -0.5, i Let w = 35240 - 35237. Put 9, 2, w, 46, 1 in descending order. 46, 9, w, 2, 1 Let p = 745 - 1371. Let z = 625.6 + p. Put -1, z, 0, 13 in decreasing order. 13, 0, z, -1 Suppose 2*t = 4*p - 4, 2*p = 3*t + 4*p + 22. Let n = -61122 - -61120. Put t, n, -5 in ascending order. t, -5, n Let s = 5708 - 5711. Suppose -r - 24 = 5*z, 3*r + 13 = r - 3*z. Put s, r, 17 in ascending order. s, r, 17 Suppose -5*h = -6*h - 5. Suppose -3891 = -109*w - 4218. Put 0, h, w in descending order. 0, w, h Let r = -144.74 + -1.26. Let s = r - -143. Let y be 4/14 - 20/(-28). Put s, 4, 2, y in decreasing order. 4, 2, y, s Let p be (-2 - (-16)/2) + 15/3. Let h be (0 + -3 + (-99)/p)/(-1). Suppose -5*b + b = 0. Sort -5, b, h. -5, b, h Let j = -22.955 - -23.1. Let p = 0.045 - j. Put 1/2, p, -3, 2 in increasing order. -3, p, 1/2, 2 Let l = -830 + 830. Suppose 40 = 4*z - 4*i, -2*z - 2*i + 0 + 8 = 0. Sort 3, 4, z, l. l, 3, 4, z Let r = 3.4 - 3. Suppose -4*x + 30 = 10. Let m = -29.4 - -29. Sort x, m, r in descending order. x, r, m Let c = 17 + -167. Let g = 138 + c. Suppose -h = -5 + 1. Sort 5, g, h. g, h, 5 Suppose 7*j + 4*a = 5*j - 8, 0 = -5*j + a + 2. Suppose j = w, 0 = -4*g + 2*w + w. Suppose -r + 6*r = g. Sort -3, -4, r in increasing order. -4, -3, r Suppose -3*f = -p - 47 + 31, -3*f = 2*p - 13. Let g(o) = -o**3 + 22*o**2 - 42*o + 39. Let u be g(20). Sort 2, -11, f, u in descending order. f, 2, u, -11 Let p = 0.309 - 214.309. Let m be (-94)/(-987) - (-8)/(-84). Sort -0.5, m, p in decreasing order. m, -0.5, p Let a be -3*(-11)/3 - 3. Let b be (-8)/126 + ((-36)/(-21))/6. Let m be (22/6 - 3)*3. Sort b, 1, a, m in decreasing order. a, m, 1, b Suppose -9*i + 3 = -8*i. Let p(f) = 25*f**3 - f**2 + 2*f - 2. Let c be p(1). Suppose -5*q - c = 2*m, -m + 2*q - 5*q = 14. Put i, -1, m in descending order. i, -1, m Let n = -4.0292 - -3.9682. Sort 6/7, -4, n, -0.6, 0 in decreasing order. 6/7, 0, n, -0.6, -4 Let c = 819 - 817. Put 1, c, -1 in descending order. c, 1, -1 Suppose 34*p = 29*p - 2*l - 3372, 0 = -3*p - 5*l - 2027. Let q = 682 + p. Sort 0, q, 3 in ascending order. 0, 3, q Let u be (-9)/(-2) + (-347415)/318. Sort u, 5, 1. u, 1, 5 Suppose 12*s - 13*s = 4*h + 58, 3*s - 4*h = -190. Let j be (-24)/56 + s/(-14). Let t be (6/15)/((-1)/10). Put -2, -1, t, j in descending order. j, -1, -2, t Let t be 1 + -5 - (-108 - (-2 + 8)). Let v = t + -106. Sort -5, v, -2 in ascending order. -5, -2, v Suppose -22*c - 15 = -27*c. Let m be (c/(-14))/((15/4)/5). Let p = 4 + -4.2. Put m, p, -3/2 in descending order. p, m, -3/2 Let c = 7652 + -7649. Put 2, c, -98 in increasing order. -98, 2, c Suppose 4*i = 73*t - 77*t - 40, 3*i - 17*t = 130. Let z be 138/(-5) + (-2)/5. Let b be (-37)/7 + (-8)/z. Sort 26, i, b in descending order. 26, i, b Suppose 165*w = 161*w + 16. Let r be (-27)/6*w/6. Put 4, r, 154 in descending order. 154, 4, r Suppose 0 = 4*q - 20 + 12. Sort q, 92, -3, 5 in increasing order. -3, q, 5, 92 Suppose -7*p = -3*q - 2*p + 3, 0 = -2*q + 5*p + 7. Suppose 110*m = -m + 111. Sort m, -9, q in ascending order. -9, q, m Let s = -29653 + 29665. Put -2.8, s, -0.4, 3 in descending order. s, 3, -0.4, -2.8 Suppose -4*h - 10 = 5*b, 2*b - 397 = -4*h - 413. Put -1, 340, b, 7 in increasing order. -1, b, 7, 340 Let o = -669 + 668.721. Let s = -0.221 + o. Put 1, -0.6, s in ascending order. -0.6, s, 1 Suppose -240 = -4*g - 160. Let i = g - 99/5. Let p = -21.9 + 23.9. Sort p, i, -11 in decreasing order. p, i, -11 Let r be ((-2)/(-4))/((-3)/(-18)). Suppose 20*y - 50 + 10 = 0. Sort 12, y, r in ascending order. y, r, 12 Let w be (3*1)/(25 + -2). Suppose 1115*f - 1071*f - 220 = 0. Sort 0.5, -4, f, w. -4, w, 0.5, f Let r = -38793 - -38160.77. Let j = 627 + r. Let h = -5.4 - j. Put h, -3/7, -0.3 in descending order. h, -0.3, -3/7 Let t(l) = 21*l + 122. Let z be t(-6). Suppose 3*p = b - 15, b - p + 3*p = 5. Sort 1, b, 10, z in decreasing order. 10, b, 1, z Let d(o) = -o**3 + 7*o**2 - o**3 - 1 + 2*o**3 + 5*o + o**3. Let c be d(-6). Suppose -34 = c*r - 3*k, -3*k + 1 - 2 = 2*r. Sort r, -3, -11 in ascending order. -11, r, -3 Let k = -9477 - -9468. Put 9, k, -3/7 in ascending order. k, -3/7, 9 Let t = -851/6776 - -1/1694. Let c = -19/32 - 5/32. Sort t, -104, -0.4, c in decreasing order. t, -0.4, c, -104 Let h = -115 - -117.85. Let l = h - 3. Let t = 0.05 + l. Put 0.6, t, -4 in descending order. 0.6, t, -4 Let f be (324/(-78) - -9) + (-4)/(-26). Suppose -3*t - w = 15, 0*t - 2*t + 3 = 5*w. Let l = t - -6. Sort 2, f, l. l, 2, f Let o = -205 + 206. Let i be -1 - (3 - o) - -23. Sort -5, -3, i in decreasing order. i, -3, -5 Let y be (-1 + 2)/((-696)/(-138) + -5). Suppose h + 6 = 2*m + 7, -5*m - 4*h = 9. Put m, -5, y in decreasing order. y, m, -5 Let m = -17423/20 + 3483/4. Put m, 2/3, -4, 20 in increasing order. -4, m, 2/3, 20 Let m = 12991.1 + -12991. Let l = 0 - 0. Suppose 0 = -k - 5*k - 12. Put l, k, m, -4 in descending order. m, l, k, -4 Suppose 2*m + 8 = -14*y + 17*y, 2 = -m + y. Let s be (-36)/6 - -13 - m. Sort 17, s, -4. -4, s, 17 Let v = -5842 - -5837. Sort 9.8, v, -3 in ascending order. v, -3, 9.8 Let o be (-580)/14 - (-735)/1715. Put 4, o, 12 in descending order. 12, 4, o Let x = -6.3 + -0.7. Let z = -63.34 - 0.66. Let d = z + 62. Put x, d, 0.5 in decreasing order. 0.5, d, x Let s be (1 + (-6)/4)*0. Suppose -1300*t - 1171 = 129. Sort s, -5, t in descending order. s, t, -5 Let h = -588 + 348. Let i = -959/4 - h. Sort -3, 2/11, -5, i. -5, -3, 2/11, i Let t be (-297)/81*(-33)/121. Put t, 8, 6, -0.14, -0.1 in ascending order. -0.14, -0.1, t, 6, 8 Suppose -3 = -p - 0*p. Let y be (2 - 8)*5/(-2)*1792/672. Put 4, y, -1, p in decreasing order. y, 4, p, -1 Let k be -7 - (4 - (-1 + 12)) - (-3 + -4). Sort k, 1, -29, -4, -1 in decreasing order. k, 1, -1, -4, -29 Let z = 0.4343 + -0.8343. Sort -2/7, 21, z, -2 in descending order. 21, -2/7, z, -2 Suppose d = 2 - 0. Let u(c) = 65 + 29*c - 79*c + 33*c. Let f be u(4). Sort f, d, -1. f, -1, d Let j = 0.04119 - 0.04119. Put 2, -0.6, -2, j, -0.3 in descending order. 2, j, -0.3, -0.6, -2 Let m = 4.09 - 0.09. Let f = 11.06 + -13.06. Let t = 0.1 + -0.1. Put 0.1, f, m, t in descending order. m, 0.1, t, f Let p(u) = -190*u + 1896. Let s be p(10). Let q(h) = -2*h + 3*h**2 - 1 + 0*h**2 - 4*h**2. Let b be q(-1). Put b, 19, s, 5 in decreasing order. 19, 5, b, s Let n be -3*(1 + -2) - (-3133)/(-964). Sort n, 2145, 8. n, 8, 2145 Suppose -4*y + 1 = a, -y + 4 = 4*a - 4*y. Let z(p) = -35*p - 8. Let v be z(a). Let x = v - -48. Sort 2, -4, x in ascending order. -4, 2, x Let g be ((-596)/(-6))/(766/1149). Let s be (-10)/4*8/90
{ "pile_set_name": "DM Mathematics" }
j is positive. j**(-31/35) Simplify (((((s/(s/(s*(s**0/s)/s*s)))/s)/s*s)**40)**20)**24 assuming s is positive. s**(-19200) Simplify ((m/((m**(-2/11)*m)/m))/m)/(m**(-2/9)/m)*m**(-1/7)*(m/(m/m**(-10))*m)/m assuming m is positive. m**(-6056/693) Simplify ((d*d**(2/31))/d**(4/5))/(d*d**(11/2)*(d**(2/111)*d)/d) assuming d is positive. d**(-215183/34410) Simplify j**(-3/7)*j/(j*j**1)*(j*j**(-7/2))/j**(-12) assuming j is positive. j**(113/14) Simplify (g**(2/17))**(-26/3)/(g**(-2/15))**(1/7) assuming g is positive. g**(-1786/1785) Simplify ((a**(-2/11)*a**(3/4)*a)/(a**(-9)/(a*a/(a*a*a*a**(-8)*a)*a)))**(-35) assuming a is positive. a**(-27055/44) Simplify (v/((v*(v**10/v)/v*v*v)/v)*v*v/(v**(3/19)*v))**(17/3) assuming v is positive. v**(-2635/57) Simplify (k**5)**30/(k**(-2/5)*k*(k**(-15)*k)/k) assuming k is positive. k**(822/5) Simplify (m**2/m)**40/(m/(m/((m**6/m)/m)))**(9/7) assuming m is positive. m**(244/7) Simplify (p/p**(-6)*(p*(p**(1/7)/p)/p*p*p)/p)/(p**1)**13 assuming p is positive. p**(-41/7) Simplify (((d**(-6)*d*d)/d)/(((d*d**(-24)/d)/d)/d))/(((d/(d*d**5))/d)/d*d**(-1/12)) assuming d is positive. d**(337/12) Simplify (t**(10/7)*t**(-1/18)/t*t*t)**(-34) assuming t is positive. t**(-5083/63) Simplify (n**6*n)**39*n*n*n*n**(-1/6)/n*n/n**(-5) assuming n is positive. n**(1685/6) Simplify (y*y**1*y**(-2)*(y/((y**3/y)/y))/y**(-3))**(-2/101) assuming y is positive. y**(-6/101) Simplify w*w**(3/5)*w/(w*w*w**(1/2)*w*w)*(w*w*w**(3/19))/w*(w**(1/41)/w)/w assuming w is positive. w**(-21171/7790) Simplify (c/c**12*c*c)/c*(c*c**(2/11)*c*c)/c*((c*c*(c*c*c/(c*(c*c*c/(c/((c**(-1/2)*c)/c))*c)/c))/c*c*c)/c)**(16/7) assuming c is positive. c**(-162/77) Simplify (m**(1/2))**(-22)/(m**(1/3)/m)**(-1/18) assuming m is positive. m**(-298/27) Simplify ((k**6*k*k*k**(1/9)/k)/(k**(2/17)/k*k**(-1)))**(-16) assuming k is positive. k**(-22016/153) Simplify ((h**(4/5)*(h*h/(h*h**7))/h*h)/(((h*h**(-2))/h*h)/((h**(-3)/h)/h)))**(2/61) assuming h is positive. h**(-92/305) Simplify ((q**(-2/5))**(-5/12)*((q*q**0)/q*q)**(-28))**43 assuming q is positive. q**(-7181/6) Simplify ((y/(y**(-3/16)/y))/(y*y**(-9/2)))/(y**(3/8)/(y/(y/((y*(y*(y*y**(-11)/y)/y)/y*y)/y)))) assuming y is positive. y**(-91/16) Simplify ((f/(f/(f**(-2/39)*f)*f))/f**(2/9))**(1/3) assuming f is positive. f**(-32/351) Simplify ((((r/(r*r**12))/r)/r*r**(-4/9))/(r/r**(1/4))**9)**(-23/3) assuming r is positive. r**(17549/108) Simplify ((i**(1/8)*i)/i)**(-1/15)*i**(1/9)*i*i**(2/5) assuming i is positive. i**(541/360) Simplify a**9/a*a**(-10)*(a**5)**(-5/9) assuming a is positive. a**(-43/9) Simplify (u/(u/(u/u**(1/22)))*u*(u*u**15*u)/u)/(u/((u/(u**2/u)*u*u*u)/u*u)*u*u**15) assuming u is positive. u**(87/22) Simplify (w**(-4/7)*w)**(20/7)/(w**(3/5)/(w*((w**(-4/7)*w*w)/w)/w)) assuming w is positive. w**(258/245) Simplify ((c**(-1/4)/c)**17*c**(2/21)/(c*c**(3/4)*c))**8 assuming c is positive. c**(-4016/21) Simplify (((y**0/y)/y)**35*(y/(y*y**(-1/4)*y))/y**2)**9 assuming y is positive. y**(-2619/4) Simplify (k**(2/55)*k**(-1/8))/(((k/((k**3/k)/k*k))/k)/(k/(k/k**(-2/17))*k)) assuming k is positive. k**(20897/7480) Simplify (u**19*u)/u*u**(1/2)*u**(-8/5)*u/(u**11*u) assuming u is positive. u**(69/10) Simplify (x**(1/15)/x)**(15/7)*(x**(8/7))**(3/25) assuming x is positive. x**(-326/175) Simplify ((q**3/q**(1/2))/(((q*q**(2/13))/q)/(q/((q*q**(-6))/q*q))))**(-13/3) assuming q is positive. q**(-217/6) Simplify (y/(y/y**10))/y*y**(-9/4)*(y*y**3*y)**12 assuming y is positive. y**(267/4) Simplify ((s*s/s**1)**(-49)/(s**(1/5))**(-31))**(-44) assuming s is positive. s**(9416/5) Simplify ((v*v/v**(-3/4)*v*v)/v**(-4))/((v*v/v**(-28))/(v**9*v*v)) assuming v is positive. v**(-41/4) Simplify t**(2/9)*t*t*t**(-11/2)/t*t*t*t*(t**(-5/2))**25 assuming t is positive. t**(-574/9) Simplify (n*n/(n*n**14)*n**(7/4)/n)/(n**(2/29)*n*(n/(n**(3/10)*n*n))/n) assuming n is positive. n**(-6391/580) Simplify (s/s**8*s*s**(-6/5)*(s/((s**(-1/4)*s)/s))/s*s**(-3/4))**35 assuming s is positive. s**(-539/2) Simplify (m*m/(m/(m*m**4*m)*m)*m)/(m**9/m)*(m*m**4*m*m)**(18/5) assuming m is positive. m**(121/5) Simplify ((i**(-2/9)*i**(-12))**32)**46 assuming i is positive. i**(-161920/9) Simplify (n/((n/n**(5/7))/n)*n*n)/n**(-4/9)*n**(-2/5)/n**(-5/4) assuming n is positive. n**(6311/1260) Simplify (j**(-1/11)/j)/(j/((j/(j/(j/(j*j/j**(2/21)*j))))/j))*(j/(j/(j/j**(-2))))**(1/76) assuming j is positive. j**(-87011/17556) Simplify ((z**(-7/3))**(-1))**(-6) assuming z is positive. z**(-14) Simplify (((p/(p*p*p*p**(2/13)*p*p*p*p))/p**6)/(p*p**1)**8)**43 assuming p is positive. p**(-15738/13) Simplify b**(-4/7)/b**(-7/2)*b*b*b**3*b**(-1/2)/b assuming b is positive. b**(45/7) Simplify (g**(-13)*((g*g**(-14))/g)/g)/(g**(-4)*g)**36 assuming g is positive. g**80 Simplify (((c*c**(10/7)*c*c)/(c*c**(6/7)))/(c**(-13)*c*c**(3/5)))**17 assuming c is positive. c**(8313/35) Simplify (h**(2/3))**(-3/10)/(h*h*h/((h*h**(1/2)*h)/h)*h*h/(h/(h**(2/9)*h))*h) assuming h is positive. h**(-443/90) Simplify ((g*(g/g**(-1/19))/g*g)/g)/g**8*(g*g**(-10))/(g/(g/(g*g*g**(1/32)*g))) assuming g is positive. g**(-11539/608) Simplify ((p/(p*p**(-28)*p))/(p/((p/((p**(-18)*p)/p*p))/p)))**(-5/3) assuming p is positive. p**(-215/3) Simplify i*i/(i**(-17/2)*i)*i/i**1*i*(i*((i**(1/6)/i)/i)/i)/(i**(-10)*i) assuming i is positive. i**(53/3) Simplify (r**(-3/8))**(-4/31)/(r**(-2))**(-22) assuming r is positive. r**(-2725/62) Simplify (l*(l**(-2)/l*l*l)/l)**(-20/11)/(l**(-1/8)*l**(2/3)) assuming l is positive. l**(337/264) Simplify (g**(-1))**(-4)*(g**(-2)/g)/((g**13/g)/g) assuming g is positive. g**(-10) Simplify ((z**(2/9))**(-45)*(z/z**(-4/13))/((z*z/z**(-7))/z))**(-30) assuming z is positive. z**(6510/13) Simplify (a**(-2/21)/(a/((a*a/(a**(-23)/a))/a)))**(-9/4) assuming a is positive. a**(-753/14) Simplify ((p/p**1)/p**4*p**(2/13)/((p*p/p**(-9))/p))**16 assuming p is positive. p**(-2880/13) Simplify ((m*(m/(m/(m**17/m))*m*m*m*m)/m)/m)**(-2/75)/(m*m**(-8))**(-28) assuming m is positive. m**(-14738/75) Simplify ((b**(-3/10)/b*b)/(b/(b*((b*b*b*(b*b**(5/4)*b)/b)/b)/b)*b))/(b**(-5/2))**(-19) assuming b is positive. b**(-911/20) Simplify o**(4/11)/o*o**(-2/35)*o*(o**(-4))**(2/3) assuming o is positive. o**(-2726/1155) Simplify ((l**3)**(-1/24)*l**(-2/19)*l*l*l**(-6/7))**(9/10) assuming l is positive. l**(8739/10640) Simplify ((s**(-3)*s*s*s**(2/13)/s)/(s**(-1/2))**15)**(-8/13) assuming s is positive. s**(-588/169) Simplify ((l*l**(-2/29)*l)/(l/(l*l**30)))**24 assuming l is positive. l**(22224/29) Simplify (t/(t/(t/t**(-9))*t)*t*(((t/t**(1/4))/t)/t)/t*((t/(t*t**2))/t)**28)**(-9) assuming t is positive. t**(2745/4) Simplify (a**0*a/((a*a**1/a)/a*a))/(a**(-2))**(-6) assuming a is positive. a**(-12) Simplify (v**(-34)*v*v*v/(v**(-2/49)/v))/(v**(-27))**16 assuming v is positive. v**(19700/49) Simplify (i**0)**18*(i**(-15)/i)/(i*i**(2/19)/i) assuming i is positive. i**(-306/19) Simplify (y**(-2/5)*y**17)/((y**15/y)/y*y/(y/((y/(y*y*y**(1/6)))/y))) assuming y is positive. y**(173/30) Simplify (r**(-4)*r)**(-3/8)*(r**3/r)**(-1/57) assuming r is positive. r**(497/456) Simplify ((k/(k/k**(1/8)))/k*k)/(k*k/(k*k**(-5)))*(k*k/(k/(k**(-1/5)/k)))**(-18) assuming k is positive. k**(-91/40) Simplify j**(1/21)/j**(13/5)*j/(j*(((j*j*j*j*j**15*j)/j)/j)/j)*j*j/j**(-37) assuming j is positive. j**(2042/105) Simplify (w**(1/31)/(w**14*w))/(w**(-6)*w*w)**(-31) assuming w is positive. w**(-4308/31) Simplify h**(4/7)/h*h**(-10/13)*h/h**(2/73)*(h/(h/(h*h*h/(h**(-35)/h))*h))/h assuming h is positive. h**(244295/6643) Simplify j**(7/4)*(j*j**(3/10)*j)/j*(j/j**(-9))**(13/4) assuming j is positive. j**(711/20) Simplify r*r/(r**(-1/45)*r)*r**(-26)*r**25/(r*r**(-7/2)*r) assuming r is positive. r**(137/90) Simplify (v*v/(v/v**1))/v**(1/28)*v**15*v**(-2/17) assuming v is positive. v**(8019/476) Simplify b**(-1/5)*b*b*b/b**(-9)*b*(b**2*b)**(2/17) assuming b is positive. b**(1118/85) Simplify ((s*s**12*s*s**(-12))**(-35))**(-1/28) assuming s is positive. s**(5/2) Simplify (g**15/g)/(g**(-7)*g*g)*g**(1/10)/g*g*g**(-2/23)*g*g assuming g is positive. g**(4833/230) Simplify (y**(-2))**(2/43)*((y/((y*y*y*y**(1/9)*y*y)/y))/y)/(y*y/y**(-12)) assuming y is positive. y**(-7045/387) Simplify (m*m**(-6/5))/(m**(-3/23)/m)*(m*(m**(-3/7)*m)/m)**(-30/7) assumi
{ "pile_set_name": "DM Mathematics" }
4. What are the prime factors of i? 457 Suppose 0 = -6*f - 293 + 5549. List the prime factors of f. 2, 3, 73 Let x = 210 - 100. Let r = x + -51. List the prime factors of r. 59 Let z(b) = -2*b**2 + 5*b - 3. Let r be z(3). What are the prime factors of (-2 - r)*(-6)/(-3)? 2 List the prime factors of 917/(-140)*-5*80. 2, 5, 131 Suppose -14*q + 36*q = 1694. What are the prime factors of q? 7, 11 Suppose -215 = -b + 5*x, 2*b + 72 - 502 = 2*x. What are the prime factors of b? 5, 43 Let k(j) = 27*j + 9. Let i be k(-5). List the prime factors of ((-9)/27)/(2/i). 3, 7 Suppose 70 = -6*h + 8*h. Let l = -24 + h. What are the prime factors of l? 11 Let n(s) = -16*s**2 + 22*s + 99*s**3 - 50*s**3 - 48*s**3 - 5 + 3*s**2. What are the prime factors of n(12)? 5, 23 Let i be ((-6)/4)/(3/12). Let b = i + 30. List the prime factors of b. 2, 3 Suppose 0*d = d. Suppose 2 = j - d. Suppose 50 = j*c - u, 0 = -0*u + 2*u - 8. List the prime factors of c. 3 Let f = -12 + 18. Let p be -20*((-15)/f)/5. Suppose -r + p + 16 = 0. What are the prime factors of r? 2, 13 Suppose -1340 = -2*r - 3*g, -2*r + 2*g = -765 - 565. List the prime factors of r. 23, 29 Let q be ((-12)/10)/((-33)/110). Suppose 4*s + s - 106 = q*r, -3*r = s - 25. List the prime factors of s. 2, 11 Suppose 16*t - 9*t = -1946. Let b = t + 626. What are the prime factors of b? 2, 3, 29 Suppose 0 = 5*m, m = -r + 5*m + 467. List the prime factors of r. 467 Let t(d) = -d**3 + 2*d**2 - 3*d - 11. Let g(b) = 2*b**2 - 4*b - 9. Let s(p) = 3*g(p) - 2*t(p). List the prime factors of s(4). 131 Suppose 14 = -5*z + r, 5*z - 4*r - 6 = -8*r. What are the prime factors of (8/2)/(z + (-5)/(-2))? 2 Suppose -4*c + 3*s = -20, -3*s + 2*s - 12 = -4*c. What are the prime factors of (-2)/c - (-53 - (-5 - -2))? 7 Let w(l) = 202*l**2 + 6*l. Let q be w(6). What are the prime factors of 6/(0 + -2) + q/63? 113 List the prime factors of 82384/114 - 3/(-9). 3, 241 Suppose 3*q - 2337 = -852. What are the prime factors of q? 3, 5, 11 Suppose w - 5*w + 200 = 0. Let v = w + -30. Suppose 2*g + v = 76. What are the prime factors of g? 2, 7 Suppose q - 55 = -4*r + 6*q, -3*q - 39 = -3*r. Suppose -4 + 0 = -j, 2*j = -z + r. Suppose k + 27 = 2*k + b, 71 = 3*k - z*b. List the prime factors of k. 5 Suppose 0 = -33*a + 16*a + 64821. List the prime factors of a. 3, 31, 41 Let w(n) = 1808*n**2 - 13*n - 14. List the prime factors of w(-1). 13, 139 Suppose 2*u - 10 = -2*d, 4*u = -2*d + 13 + 3. Suppose 0 = -4*c + 3*s + 69, 0 = c + s + d*s - 21. List the prime factors of c. 2, 3 Suppose -u - 3*x + 2016 = -268, 4*u + x = 9125. What are the prime factors of u? 2281 Let j = -715 + 321. Let o = -185 - j. List the prime factors of o. 11, 19 Suppose -4*u - 4*u - 8 = 0. List the prime factors of 46*1*(11 - (u + 9)). 2, 3, 23 Let r(q) = -q**3 + 41*q**2 + 7*q - 159. What are the prime factors of r(41)? 2 Let x = -279 - -426. Suppose 0 = a - x - 3. Suppose -a = 2*l - 7*l. What are the prime factors of l? 2, 3, 5 Let j(h) = h**3 + 2*h**2 - 6*h. Let l be j(-5). Let v = -35 - l. List the prime factors of v. 2, 5 What are the prime factors of (-1)/(-13) + 676203/403? 2, 839 Suppose -2*y = 4, n - 5*y + 3*y = 67. Suppose m = -6*m + n. List the prime factors of m. 3 Suppose -2*u + 3*u = -4*t + 9, -15 = -5*t - 5*u. Suppose -t*g - 37 = -139. List the prime factors of g. 3, 17 Suppose 2*p = 3*h + 662 + 634, -2*h + 648 = p. List the prime factors of p. 2, 3 Let y = 909 - 390. List the prime factors of y. 3, 173 Let g be (-2)/(-8) + 3/4. Let c be (8/(-6))/(g/12). What are the prime factors of (c/6)/((-4)/30)? 2, 5 Let n(u) = 4*u**2 + 6*u + 1. Let k = 27 - 32. What are the prime factors of n(k)? 71 Let t = 10 + -6. Suppose -t*o = 13 + 51. Let i = -11 - o. List the prime factors of i. 5 Suppose -4*j + j - 24 = 0. Let a be 4/j*-3*-10. Let f = a - -26. What are the prime factors of f? 11 List the prime factors of (2 - (-16719)/7) + (-44)/(-77). 3, 797 Suppose -25 + 7 = -3*z. Let l(h) = -h**3 + 7*h**2 - 6*h + 1. Let r be l(z). Let t(y) = 17*y**2 + y. What are the prime factors of t(r)? 2, 3 List the prime factors of 468 - -1 - (-1 - 3). 11, 43 Let i(s) be the third derivative of s**6/40 - 7*s**5/30 - s**4/8 + 7*s**3/6 + 12*s**2 - 3*s. What are the prime factors of i(6)? 7, 19 Let c = -2 - -71. Suppose -2*h = -10, 0*a - 5*h + c = 4*a. List the prime factors of a. 11 Let b(z) = z**3 - 5*z**2 + 11*z + 2. Let q be b(7). Let l = 268 - q. List the prime factors of l. 7, 13 Suppose -3*z - 2 - 4 = 0, -6 = -2*h + z. Suppose 3*s + 2*v - 4*v = -2, 5*v = -5*s + 5. Suppose s = -h*b + b + 23. List the prime factors of b. 23 Suppose z = -4*z - 70. Let x = z + 18. List the prime factors of (x/6)/((-2)/(-48)). 2 Let d(g) = -g**3 - 5*g**2 - 2. Let y be d(-4). Let m be 6/4*(-48)/y. Suppose 2*x - m - 4 = 0. What are the prime factors of x? 2 What are the prime factors of 0/((-15)/(-5) + -1) - -3400? 2, 5, 17 Suppose 5*q = 3*d + 8235, 0 = -2*q + 2*d + 575 + 2719. List the prime factors of q. 3, 61 Let u = 262 + -172. Let h = 155 - u. List the prime factors of h. 5, 13 Let g = 176 - 10. List the prime factors of g. 2, 83 Let c(b) = 14*b - b + 9 - 2*b. Let l be c(6). Let v = 128 - l. What are the prime factors of v? 53 Let s = 24 + -15. Suppose -4*w + 29 = s. Suppose -2*t + 3*h - w*h = -72, -3*t - 2*h = -105. List the prime factors of t. 3, 11 Let i(p) be the third derivative of 0*p + 0 + 2*p**2 + 1/3*p**3 + 1/120*p**6 + 1/8*p**4 + 1/12*p**5. List the prime factors of i(-4). 2, 3 Let a(q) = -5 + 8*q - q**2 - 2*q + 0*q**2. Suppose 0 = -2*l - 19 + 27. List the prime factors of a(l). 3 What are the prime factors of (-6 - 40/(-8))*(1 - 303)? 2, 151 Let z be (-2)/(-4)*4 - 2. Suppose 2*a - 4 = -3*i, -4*i - 3*a + 7 - 2 = 0. Suppose z = -0*y + i*y - 42. List the prime factors of y. 3, 7 Suppose 4*s - 27 - 105 = 0. Suppose 2*z + 27 = s. Suppose 2*y = -3*y - z*c + 230, -5*y + 230 = 2*c. What are the prime factors of y? 2, 23 Suppose 6*d - 13 = 47. Suppose 0 = -d*u + 13*u. What are the prime factors of 79 + (-9)/(-3) + u? 2, 41 Let a be (8/2)/(-4)*-2. Suppose g + 280 = 4*x - 3*g, a*x = 5*g + 152. List the prime factors of x. 2, 3, 11 Suppose -5 = -3*r - 11, -5*p = 2*r - 16. Suppose 7*b + p*b - 957 = 0. What are the prime factors of b? 3, 29 Let f = 38 - 36. Suppose -4*t + 0*t + 150 = 5*y, -f*y = -4*t - 60. List the prime factors of y. 2, 3, 5 Let p(c) = 6*c + 5. Let q be p(5). Suppose -q = -2*x - 7. Let k(m) = m**2 - 10*m - 11. What are the prime factors of k(x)? 3, 5 Let n(u) = -7*u + 5. Let h = -30 - -27. What are the prime factors of n(h)? 2, 13 Let v = 30 + -15. Suppose g + v = -0. List the prime factors of ((-24)/g)/((-1)/(-20)). 2 Suppose 2*v = -5*y - 416, -4*y - 3*v = 233 + 104. Let z = y - -97. What are the prime factors of z? 3, 5 Let z = -39 + 48. Suppose -6*i - 420 = -z*i. What are the prime factors of i? 2, 5, 7 Let d(y) = y**3 + 11*y**2 + 6*y - 12. Let b be d(-10). Let j = 82 + b. Suppose -3*f - 3 = -x - j, -f = -3*x - 25. What are the prime factors of f? 37 Let a(b) = -6*b + 23. Suppose 0 = 5*c + 2*r + 60, -5*c - 3*r - 55 = -c. List the prime factors of a(c). 83 Let k(u) = 5*u**2 - 20*u + 21. Let n be k(13). What are the prime factors of 4/10 + (-1)/((-10)/n)? 61 Let q = -233 - -254. What are the prime factors of q? 3, 7 Let k(y) = y**2 + 5*y + 13. List the prime factors of k(-14). 139 Suppose 0 = 12*n - 11*n - 2. Let k(x) = 22*x + 7. What are the prime factors of k(n)? 3, 17 Let r = 2919 - 930. What are the prime factors of r? 3, 13, 17 Let f = 9 - 23. Let v = -10 - f. Let i(j) = -j**3 + 5*j**2 - 4. List the prime factors of i(v). 2, 3 Suppose -44192 = -1442*t + 1426*t. List the prime factors of t. 2, 1381 Let t be (38/(-6) + 3)/(6/(-18)). What are the prime factors of t/(-2) + 213/1? 2, 13 Let t = -4 - -3. Let c(m) = -131*m**3 - m**2 + 5*m + 5. List the prime factors of c(t). 2, 5, 13 Let k = 38 - 25. Let s = -4 - 5. Let h = s + k. List the prime factors of h. 2 Let k(m) = -69*m - 9. Suppose 6*i + 18 = 2*i - 3*f, 0 = -3*i - 3*f - 15. List the prime factors of k(i). 2, 3, 11 Let j = 435 - 230. Suppose -j = -6*p + 185. What are the prime factors of p? 5, 13 What are the prime factors of -2 + 2 + 125814/39? 2, 1613 Let p be ((-20)/(-16))/5 + 38/8. Let i(o) = o + 37. Let a be i(0). Suppose -t + 3*z + 22
{ "pile_set_name": "DM Mathematics" }
(-38)/171. Calculate the highest common divisor of y and 12. 12 Let l(a) = -a**2 - 13*a + 18. Let o be l(-12). Calculate the greatest common factor of 5 and o. 5 Let j(d) = d**2 - 3*d. Let p be j(-6). Let a(q) = 3*q + 57. Let l be a(-17). Calculate the highest common divisor of l and p. 6 Suppose -8*a = -14*a + 6. Calculate the highest common divisor of a and 5. 1 Suppose -7*v - 14 = -196. Calculate the greatest common factor of v and 78. 26 Let m = -81 - -92. Suppose 22 = -2*w + 4*w. What is the greatest common factor of w and m? 11 Let n = -3 - -223. Let f be (-20)/5*(-7 - -2). Calculate the highest common factor of n and f. 20 Let w(c) = 13*c - 22. Let h be w(2). Calculate the greatest common factor of 4 and h. 4 Let h(q) = -8*q - 18. Let g be h(-4). Suppose 0 = -2*y - 3*y - 60. Let w be 0 + 0 + 2 - y. What is the greatest common divisor of g and w? 14 Let s(o) = 3*o + 5. Let y be s(5). Suppose 5*t = 2*b - 46 - 17, 4*t = b - 33. Let u = b - 19. What is the highest common factor of u and y? 10 Let i be 1938/27 - (-4)/18. Let q = i - 41. Let l = q + -16. What is the greatest common factor of 10 and l? 5 Suppose v - 2 = 3, 5*w + 3*v = 80. Let q = w - 6. Let c(d) = d**3 - 4*d**2 - 8*d + 8. Let l be c(q). Calculate the highest common factor of l and 9. 9 Suppose 0 = 5*k + 3*k - 216. Let q be 1/2*(1 + 17). What is the highest common factor of q and k? 9 Let v be (-3)/18 + 22/(-12). Let l be (-8)/6*3/v. Let o be l/7 - (-414)/21. Calculate the greatest common factor of 160 and o. 20 Let u = 9 - 5. Suppose -u*p + 21 = 3*h, -2*h + 20 = 4*p + 6. Suppose 3*c + z - 655 = 0, 4*c = h*c + 3*z - 645. Calculate the greatest common factor of 20 and c. 20 Suppose -4*l - l + 55 = 4*z, -5*l + 60 = 5*z. Calculate the highest common divisor of 49 and l. 7 Let n be 87 - 0*(-4)/16. What is the highest common factor of n and 58? 29 Suppose 0 = -2*t + 3*t + 35. Let q be -2*(t/(-2))/(-7). Let d = 20 - -35. What is the greatest common divisor of d and q? 5 Let c = -36 - -59. Let o = -11 + c. Calculate the greatest common factor of o and 30. 6 Let x = -12 + 20. What is the greatest common divisor of x and 4? 4 Let v(l) = -10*l - 1. Let b be v(-1). Suppose 2*y - b - 11 = 0. Calculate the highest common factor of 15 and y. 5 Let w(g) = -g**2 - 6*g + 36. Let x be w(-6). Let b(j) = 2*j + 2. Let a be b(5). What is the greatest common factor of x and a? 12 Let r(v) = 3*v**2 + v. Let n be r(1). Let i be 26*(28/(-8) + n). What is the highest common factor of i and 91? 13 Let r be (12 - 6) + 6/2. Let b = 47 + r. What is the highest common factor of b and 8? 8 Suppose 23 = a - 3*h - 12, 3*h - 45 = -3*a. Let u = 43 - a. Let c = u - 15. What is the greatest common divisor of c and 32? 8 Let u(o) = -o**2 - o + 4. Let d be u(0). Suppose 4*r - 10 - 14 = 0. Calculate the greatest common divisor of r and d. 2 Suppose -4*b + 665 = 269. What is the greatest common divisor of 9 and b? 9 Suppose 5*x + 74 = -66. Let d = 61 + x. Suppose -5*s = -2 - d. What is the greatest common factor of s and 77? 7 Suppose -3*b + 29 = n, 2*n = 2*b - b - 19. Let u = 23 - -10. Calculate the highest common divisor of b and u. 11 Let g(u) = u**3 - 8*u**2 - 6*u - 25. Let r be g(9). Calculate the greatest common divisor of r and 16. 2 Let v be -4 + (-4)/(-2) - 9. Let j = -7 - v. Calculate the greatest common factor of 44 and j. 4 Suppose -5*i - 10 = -6*n + 2*n, 4*n + 3*i = 26. Calculate the greatest common factor of n and 2. 1 Let o = 57 + -42. Calculate the highest common factor of o and 150. 15 Let g = 4 + -3. Let k = 3 - g. Let x be 0 + (-7)/k*-2. What is the highest common divisor of x and 56? 7 Let f be ((-450)/(-27))/(2/3). Suppose -5*n - 2*t + 28 + 9 = 0, 0 = 5*n + 5*t - f. Calculate the highest common divisor of 72 and n. 9 Let g be -2 - -1*(53 - 3). What is the highest common divisor of g and 12? 12 Let i = -3 + -1. Let j be (-610)/(-90) + 4/18. Let a = j - i. Calculate the greatest common divisor of 1 and a. 1 Let x be ((-2)/3)/(2/(-6)). Suppose x*v + 3*v - 49 = -b, -4*v + 4*b = -44. What is the highest common factor of v and 70? 10 Suppose r - 8 = 37. Suppose 6*m - 2*m = 20. What is the greatest common divisor of m and r? 5 Let c be (-6 - -1)*(-2)/5. Let v be 1 + (c + -1)*-1. Suppose v = 4*z + 3*n - 105, n + 6 = 3*n. What is the greatest common divisor of z and 36? 12 Let x be (7/(-2) + 1)*-22. Let y = 309 + -209. Suppose 0 = -5*b + y + 10. Calculate the highest common factor of x and b. 11 Suppose -5*u - s = 81 - 377, 0 = -5*u - 4*s + 284. Let c be 2/(-6) - (-222)/18. Calculate the highest common factor of u and c. 12 Let b(m) = -7*m. Let q be b(-3). Calculate the highest common divisor of 168 and q. 21 Let o be 33/(-5)*(1 + -16). What is the greatest common factor of o and 11? 11 Let k = 15 + -25. Let c be (-3 + 9)/((-4)/k). Calculate the highest common factor of 6 and c. 3 Let x be (2 - 56/10)*-5. Let a be (-1)/3*(6 - -3). Let k(f) = f**2 - 3. Let w be k(a). Calculate the greatest common factor of x and w. 6 Suppose 81 + 3 = 2*l. What is the highest common factor of 462 and l? 42 Suppose -34*c + 38*c - 816 = 0. Calculate the greatest common factor of c and 12. 12 Suppose 2*l - 192 = -2*l + 3*u, -l = -4*u - 48. What is the greatest common divisor of 240 and l? 48 Suppose -6 = -a - 5*p + 2, -2*a - 4 = 5*p. Let x = a + 18. Let o = 450 - 435. Calculate the highest common factor of x and o. 3 Suppose -4*v + 4*r = -0*v + 4, -r + 11 = 4*v. Suppose -20 = -v*g + g. What is the highest common divisor of 10 and g? 10 Let u = -3 + 6. Suppose 4*t - 65 = b, -t = -u*t - 4*b + 10. Calculate the greatest common factor of t and 30. 15 Suppose -4*h + 56 - 24 = 0. Calculate the highest common divisor of 12 and h. 4 Suppose 4*r - 3 = -3*a + 9, a + 2*r - 6 = 0. Suppose a*q + 15 = 3*q. Suppose -75 = n - 6*n. What is the greatest common divisor of q and n? 5 Suppose 5*k - 25 = 0, 4*x + 0*x = 2*k + 26. Let z = 20 - -7. What is the highest common factor of z and x? 9 Suppose 0 = -2*m - 2 + 10. Let q(d) = -d + 6. Let l be q(m). Let j = 20 - 6. Calculate the greatest common divisor of j and l. 2 Let b be 30/(-4)*(-4)/6. Let w(a) = a**2 + 0*a**2 - a**3 + 12 + a + 0*a**3 + 8. Let y be w(0). Calculate the highest common divisor of y and b. 5 Let c be 3 + (104 - (4 + -8)). Calculate the highest common factor of c and 37. 37 Let h(k) = 2*k - 4. Let f be h(4). Let q(g) be the third derivative of g**4/6 - 2*g**3/3 - g**2. Let i be q(6). What is the greatest common divisor of f and i? 4 Suppose -7*z + 149 = -40. Calculate the greatest common factor of 297 and z. 27 Let j(u) = u**3 + 11*u**2 + 6. Let c be j(-11). Calculate the highest common divisor of c and 18. 6 Let j = -28 - -79. Let a(n) = -n**3 + 6*n**2 + 2*n - 6. Let h be a(6). Suppose -z = -h - 28. Calculate the greatest common divisor of j and z. 17 Let d(i) = -i**3 - i**2 + 4*i - 1. Let l = -4 - -1. Let m be d(l). Suppose 3*o - 2*v = m, -v - 2 - 1 = -2*o. What is the greatest common divisor of o and 8? 1 Let k = 4 - 3. Suppose y + k = -4*q + 52, -5*y + 272 = 3*q. Suppose -5*w - 4*b = -y, -b = -w - 2*b + 10. Calculate the greatest common divisor of 30 and w. 15 Suppose m - 145 = -45. Suppose m = 4*l + l. Suppose 2*q + 40 = 7*q. Calculate the highest common factor of q and l. 4 Suppose -2*p - l = p - 2, 0 = 4*p + 2*l. What is the greatest common factor of p and 8? 2 Let t = -36 + 51. Let h be 3*3 + (-1)/(-1). Calculate the greatest common factor of h and t. 5 Let i be (48 - 0)*(-27)/(-36). Let z be (-2)/(-3) + (-480)/(-9). What is the greatest common divisor of i and z? 18 Let y be (-1 - 2) + (69 - -2). Suppose 4*x - 3*m - y = m, 0 = 3*m + 12. Calculate the greatest common divisor of x and 26. 13 Let a(v) = -v**3 + 2*v**2 + 7*v - 8. Let r be a(4). Let d(p) = -p + 1. Let s be d(r). What is the greatest common factor of 104 and s? 13 Suppose 3*q = 2*q + 2*m + 8, -2*q - 5*m + 25 = 0. Calculate the highest common divisor of q and 10. 10 Let v(g) = g - 15. Let w be v(-12). Let z = -17 - w. Let h(n) = -20*n. Let d be h(-1). What is the greatest common factor of d and z? 10 Suppose -n + 9 = -15. Calculate the highest common factor of 168 and n. 24 Let q(w) = -4*w**2 + 2*w - 4. Let p be q(3). Let m = 53 + p. Suppose -5*v = 5*z - 95, -3*v - 19 = -4*v + z. Calculate the greatest comm
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 8? (a) -5/11 (b) 0.45 (c) 4 (d) -3 (e) 0 c Which is the closest to -2.4? (a) -4/159 (b) 369 (c) -0.4 c Which is the nearest to 9.1? (a) -5 (b) -1.77 (c) -1/3 (d) 0 (e) -3 (f) -3/4 d What is the nearest to 6 in -4/9, -67, 22/177, -0.2, 2/15? 2/15 What is the closest to 0.04 in 0.2, 3, -0.4, 21, 0.6432? 0.2 Which is the nearest to -3.21? (a) -0.69 (b) 52 (c) -0.3 (d) 3/8 (e) 3 a Which is the nearest to -26? (a) 0.0858 (b) -4 (c) -0.3 (d) -3/5 (e) 1 b What is the closest to 1/4 in -1/15, 9, 5, 1.4, 6? -1/15 What is the closest to 12 in 0, -1/45, -1/7, -1/3, 2328? 0 Which is the nearest to 46? (a) 6/5 (b) 2/3 (c) 0.3 (d) -9852 a Which is the closest to -7/65? (a) -2 (b) -2/15 (c) -33 (d) -11 (e) 2 b What is the closest to 210 in -0.3, 293/4, -124? 293/4 What is the closest to -3 in -0.95, -0.0495, 1, -3? -3 Which is the nearest to 314? (a) 0.06 (b) -0.1488 (c) -2/5 (d) 0.1 d Which is the closest to 2/7? (a) -5 (b) 2/3 (c) 8 (d) 5771 b Which is the nearest to -1/94? (a) 2/13 (b) -3 (c) -4 (d) -1.8 (e) -0.0242 e Which is the closest to 1? (a) 2/1393 (b) -5 (c) 0.09 (d) -213 c Which is the nearest to -1? (a) 240.3 (b) 18.8 (c) -3/8 (d) 2/7 c Which is the closest to -1/4? (a) 63223 (b) -3 (c) -2 c Which is the closest to 31? (a) 1/7 (b) -17 (c) -5 (d) -16502 a What is the nearest to 10 in -1, -4, 5, 44.24? 5 Which is the closest to 2/15? (a) -12/23 (b) -0.1 (c) 2.4 (d) -5 b Which is the closest to 33/5? (a) 551 (b) 3/4 (c) 5/4 (d) 0.11 (e) -1/4 c What is the nearest to -10 in -0.12274, 2, -152, 4? -0.12274 Which is the closest to -5? (a) -4 (b) 27492 (c) 0 (d) 0.3 a What is the closest to 23 in 45, 0.3, 46/19, 3? 3 What is the closest to 0.436405 in -2/5, 5, 0, 48? 0 Which is the closest to -0.6? (a) 2/1585 (b) -3 (c) 2 (d) 2/7 a Which is the closest to -2? (a) -425 (b) -2/15 (c) 13 (d) -3 (e) 2/21 d Which is the closest to -0.1? (a) -0.42 (b) 274 (c) -1/5 (d) -4 c Which is the closest to 39? (a) 20 (b) -52 (c) 8 a What is the closest to 16/3 in 1/6, -8, -7, -0.047, 0.3? 0.3 Which is the nearest to 0.1? (a) -4/5 (b) -0.2 (c) 4 (d) 646/3 (e) 2/11 e Which is the nearest to 60? (a) 4/5 (b) 2/19 (c) -4 (d) -2/17 (e) -0.4 (f) 735 a Which is the closest to 2/9? (a) -8 (b) 0.4 (c) -44 (d) 12.4 (e) 0.6 (f) -3 b Which is the closest to -0.2? (a) 0.7 (b) -127.9 (c) 2/7 c Which is the nearest to -0.2? (a) -3743 (b) 4 (c) 2/23 (d) 1/3 (e) 1 (f) -224 c Which is the nearest to -2/7? (a) 12579 (b) 1 (c) 2/17 (d) -3/2 c Which is the closest to 2/3? (a) 209 (b) 4 (c) -16/141 c What is the nearest to 13 in -0.04097, -5, -4? -0.04097 Which is the nearest to 0? (a) -3 (b) -0.43 (c) 4 (d) -7/6 (e) 174 b Which is the nearest to -0.3? (a) -1 (b) 0.41859 (c) 4 (d) 2 a Which is the closest to 32/3? (a) 3 (b) -2/5 (c) -5 (d) 1005 (e) 6 (f) 4 e Which is the nearest to 91? (a) 1 (b) 2 (c) -4712 b Which is the closest to -2/17? (a) 41 (b) 1/4 (c) 57 (d) 4/43 d What is the closest to 0.13 in 0.06, 0, -264? 0.06 Which is the nearest to 0? (a) 29 (b) 121 (c) -0.04 c Which is the closest to 1/29? (a) -1/5 (b) 7/5 (c) -216 (d) 0.4 (e) -2 (f) -2/17 f Which is the closest to 0.2? (a) 255992 (b) -5 (c) -1 c What is the closest to -95/12 in 2/5, -4, 2.7, 2/9, 5, -3? -4 Which is the closest to -44? (a) -131 (b) -713 (c) -3/5 (d) -2 (e) -0.5 d What is the nearest to -0.3 in 0.00112, -2, 3? 0.00112 What is the closest to 0.009 in 5, -1/11, 1/1166, 1, -3/4? 1/1166 Which is the nearest to 3? (a) -3/5 (b) -0.08 (c) 0.2 (d) 230 c What is the closest to -0.1 in -1, 2/13, 62, -0.2, -2/27? -2/27 What is the nearest to 0.1 in -5, -10.4140751, -2/7? -2/7 What is the closest to 2.3 in 0.3, -1, 37.54, -0.4? 0.3 Which is the nearest to -2/59? (a) -3 (b) -0.053 (c) 1.8 (d) -0.1 b Which is the closest to -2297? (a) 1 (b) 7/2 (c) 33 a What is the nearest to 15 in 4/7, -5, -3, 6/41? 4/7 What is the closest to 0.1 in -3, -832, 2, 7/4, -3/5, 2/9? 2/9 Which is the nearest to 5? (a) 86 (b) -1/5 (c) -1.3 (d) -5 (e) 50/9 (f) -4 e What is the closest to 2/3 in 0.4, -4.8, -2/23, -1/5, -3/2? 0.4 Which is the closest to 2? (a) -4 (b) 2/13 (c) -1/11 (d) 0.3 (e) -438 d What is the closest to 0.2 in 83/3630, -3, 4, 1/5? 1/5 What is the nearest to 0.17 in -22, 1/2, 1? 1/2 What is the closest to -66 in -5, 10, 4, 2, 6? -5 Which is the closest to 29/43? (a) -11/13 (b) 4 (c) -4 (d) 3/5 d Which is the nearest to 62? (a) 0.4 (b) 26/61 (c) -3 (d) 2/9 (e) -1 b What is the nearest to -1 in -2789, 0.04, 1, 193? 0.04 Which is the closest to -97? (a) 1 (b) 0.0903 (c) -10 (d) 3 c What is the nearest to -2/5 in 194, 1, -20, -2/15? -2/15 Which is the nearest to -1/7? (a) 148/9 (b) 6/7 (c) 1/3 (d) -9 (e) 22 c What is the closest to 1 in -2.1, 61, 5/103? 5/103 Which is the nearest to 610? (a) 279.1 (b) 0.4 (c) -3 (d) -2/7 (e) 0.2 a What is the nearest to 1 in -3/8, 5, 2, 2/9, 11956? 2/9 What is the closest to 10/7 in -0.5, -1/3, 40, -2? -1/3 What is the closest to 1 in 1355, -14/9, 1? 1 Which is the closest to 4? (a) -41/4 (b) 1/3 (c) 1/7 b Which is the closest to -4? (a) -9 (b) 2/23 (c) 6/11 (d) 1/6 (e) -353 b Which is the closest to 7/3? (a) -32 (b) -7 (c) -5 (d) 98 (e) 5 e Which is the nearest to 26? (a) 54 (b) 3 (c) -120/17 b What is the nearest to -1353 in -9/17, -5, 2/9? -5 Which is the nearest to -57? (a) -3 (b) 15/253 (c) 63 a What is the closest to -0.01 in -1192, -121/4, -0.3, 1/4? 1/4 What is the nearest to -0.22 in 427, -4/7, 12, -6/5, -1/2, 0.2? -1/2 Which is the nearest to 4? (a) 4066 (b) 0.2 (c) -1/5 (d) -48 (e) 2/9 e Which is the nearest to -12? (a) -2/5 (b) -5 (c) 10654 (d) 2/11 b What is the closest to 1 in -1, -2/165, 3/8, -2/11, 1786? 3/8 What is the closest to 0.1 in -3/5, -1.61, 0.3, -1/2, -1/40, -5? -1/40 What is the closest to -4 in 0.3, 1/12, 325, 0.4, -105? 1/12 Which is the closest to 0? (a) -4 (b) -28 (c) -1 (d) 881921 (e) 0.3 (f) 0.1 f Which is the closest to -16? (a) -3 (b) 0.2 (c) 0.01 (d) 208419 (e) 0 a Which is the closest to -0.581? (a) -2/15 (b) 1/6 (c) 138 (d) 3 a What is the nearest to 2 in 1.48, -2/13, -19/182, 2/11? 1.48 Which is the closest to 3/5? (a) -18 (b) 0.5 (c) 692 (d) -2 (e) 1/4 (f) 0.06 b Which is the nearest to -100? (a) -2/3 (b) 44 (c) 5 (d) 2 (e) 113 (f) 0.5 a Which is the closest to 1? (a) 4 (b) -1/7 (c) 6989 b Which is the closest to 0.6? (a) 2/17 (b) 0.3914 (c) 3.3 b What is the nearest to 1 in 0.4, -10934, 0.3, 1? 1 Which is the closest to 0.2? (a) -0.5 (b) -2/403 (c) 142.75 b Which is the closest to -2? (a) 131671 (b) -1/9 (c) 2/17 b What is the closest to -6134 in -50, -58, 2/7? -58 Which is the nearest to 1/5? (a) 2/3 (b) -85.4 (c) -1/4 c What is the closest to 0.1 in -1/7, 527, -0.3, -325, 0.4, -1.1? -1/7 What is the closest to -158 in 0.1, -3/4, -4, 8.85? -4 Which is the nearest to -2? (a) 11 (b) 3/8 (c) 3 (d) -4/93 d What is the closest to 1/151 in 1, -38, 3/13? 3/13 What is the nearest to 181856/63 in 1, 3, -4? 3 What is the closest to 2/5 in 50.3, -3, 672? -3 What is the nearest to 2/7 in 0.1, 1/6, -2, -6, -10/141? 1/6 Which is the closest to 0.2? (a) 4 (b) -3 (c) 0.5 (d) -1/21 (e) -4265/3 d Which is the closest to -0.74? (a) 0.4 (b) -137 (c) -37 (d) 2/9 d What is the closest to -317 in 2/17, 1/13, -2/13, -3/7, 0? -3/7 What is the closest to 0 in -4665, -13.5, 0.5? 0.5 Which is the closest to 6/11? (a) 0 (b) -4/7 (c) 16630 (d) -4 a Which is the nearest to -1/4? (a) -3 (b) -1/4 (c) -29 (d) 1/4 (e) 0.0823 b What is the nearest to -1 in -22/9, -3, 1.117? -22/9 What is the nearest to 3 in 3/5, -6, -10, 0, 29? 3/5 Which is the closest to -11? (a) -1340 (b) -0.1 (c) 2/3 (d) -5 (e) 2 (f) 0.1 d Which is the nearest to 3/2? (a) 0.4 (b) 2 (c) -10729 (d) 9 b Which is the nearest to 1? (a) 86 (b) 0.4 (c) -0.13042 b Which is the closest to 308? (a) -8 (b) 0.02 (c) 8.5 c Which is the nearest to -0.41? (a) 0.3 (b) -6 (c) -5.91 (d) -2 a Which is the closest to 0.7? (a) 2.002 (b) -4 (c) -20 a What is the nearest to 1 in 119, -1/4, 2/9, -0.1, -977? 2
{ "pile_set_name": "DM Mathematics" }
ob of sequence bbbm? 1/1020 Three letters picked without replacement from {l: 5, g: 4, i: 8, c: 1}. What is prob of sequence igi? 7/153 Three letters picked without replacement from kkkkakkakkk. What is prob of sequence aak? 1/55 Three letters picked without replacement from qmdqrqr. Give prob of sequence mdr. 1/105 What is prob of sequence ee when two letters picked without replacement from {e: 2, w: 18}? 1/190 Three letters picked without replacement from {f: 1, s: 2, c: 3, r: 1, e: 11, l: 1}. Give prob of sequence lrs. 1/2907 Two letters picked without replacement from eteeeet. What is prob of sequence te? 5/21 What is prob of sequence zz when two letters picked without replacement from {z: 10}? 1 What is prob of sequence vv when two letters picked without replacement from {v: 10, t: 2}? 15/22 Two letters picked without replacement from nkkyk. Give prob of sequence yn. 1/20 Three letters picked without replacement from jsssjs. Give prob of sequence sss. 1/5 What is prob of sequence bpp when three letters picked without replacement from {b: 5, p: 9}? 15/91 Four letters picked without replacement from yyygfygyyyyyyykyy. Give prob of sequence kygy. 13/2380 Three letters picked without replacement from wcpxxcfxfoxxfxxfoxfc. Give prob of sequence ccx. 2/285 Four letters picked without replacement from hhxxhhhhhxhhhhxx. What is prob of sequence xxxh? 11/728 Two letters picked without replacement from {c: 1, l: 2, m: 1, w: 1}. Give prob of sequence lw. 1/10 Calculate prob of sequence yys when three letters picked without replacement from jhyhyys. 1/35 Three letters picked without replacement from mvvmvmmmmm. What is prob of sequence vvm? 7/120 Three letters picked without replacement from ckcckccccccckkcckc. Give prob of sequence kkk. 5/408 Three letters picked without replacement from {n: 1, a: 3}. Give prob of sequence nan. 0 What is prob of sequence zzc when three letters picked without replacement from {c: 2, z: 2}? 1/6 Two letters picked without replacement from {c: 1, z: 2, e: 2}. Give prob of sequence ze. 1/5 What is prob of sequence at when two letters picked without replacement from {a: 3, u: 9, t: 7}? 7/114 Calculate prob of sequence ltpp when four letters picked without replacement from {s: 2, h: 2, p: 2, q: 3, l: 1, t: 2}. 1/2970 Calculate prob of sequence fxf when three letters picked without replacement from nxxnnnnnxfnnxxfn. 1/336 Two letters picked without replacement from kkkkkkkkkkkkkkklkkk. What is prob of sequence kk? 17/19 Two letters picked without replacement from mykymyykpk. Give prob of sequence yp. 2/45 What is prob of sequence rry when three letters picked without replacement from lnyooryllryl? 1/220 Four letters picked without replacement from tddtutdd. What is prob of sequence ddut? 3/140 What is prob of sequence qk when two letters picked without replacement from {q: 1, k: 7, x: 1, y: 8}? 7/272 Calculate prob of sequence plp when three letters picked without replacement from ppiiiipipiiiiplpipp. 28/2907 Two letters picked without replacement from {o: 1, y: 2, c: 1}. What is prob of sequence oc? 1/12 Calculate prob of sequence ihh when three letters picked without replacement from qciqhqhqqhhcqhhqqq. 5/816 Calculate prob of sequence reaa when four letters picked without replacement from ryaarwweaaaaar. 3/572 What is prob of sequence ya when two letters picked without replacement from acy? 1/6 Two letters picked without replacement from {u: 1, t: 1, n: 1, k: 2}. Give prob of sequence uk. 1/10 Four letters picked without replacement from llkllk. Give prob of sequence klll. 2/15 What is prob of sequence zzx when three letters picked without replacement from {x: 2, z: 2, e: 1, b: 1, p: 1, m: 2}? 1/126 Calculate prob of sequence ppjj when four letters picked without replacement from jpjjjyyppyj. 1/66 What is prob of sequence yv when two letters picked without replacement from {y: 3, v: 3}? 3/10 Two letters picked without replacement from {m: 1, b: 1, u: 7}. Give prob of sequence mu. 7/72 Three letters picked without replacement from {l: 2, r: 2}. What is prob of sequence lrr? 1/6 What is prob of sequence jjzj when four letters picked without replacement from {g: 3, z: 6, j: 4}? 6/715 What is prob of sequence rrra when four letters picked without replacement from {a: 2, i: 4, r: 3}? 1/252 Calculate prob of sequence em when two letters picked without replacement from {m: 9, e: 7}. 21/80 Four letters picked without replacement from {c: 16, k: 4}. What is prob of sequence ccck? 112/969 What is prob of sequence oy when two letters picked without replacement from {d: 2, y: 3, g: 1, j: 4, o: 7}? 21/272 Calculate prob of sequence yre when three letters picked without replacement from {d: 8, r: 1, y: 1, o: 3, e: 2, w: 1}. 1/1680 What is prob of sequence ttq when three letters picked without replacement from {u: 2, t: 2, c: 2, q: 3, i: 6}? 1/455 Calculate prob of sequence ylml when four letters picked without replacement from ylmvl. 1/60 Three letters picked without replacement from {w: 2, g: 1, d: 1, x: 3, y: 4, j: 1}. What is prob of sequence xyj? 1/110 Four letters picked without replacement from {m: 1, i: 1, g: 2, a: 3, w: 3}. What is prob of sequence wgwi? 1/420 Calculate prob of sequence pttt when four letters picked without replacement from pttpptpppt. 1/35 What is prob of sequence lix when three letters picked without replacement from ixebl? 1/60 What is prob of sequence jy when two letters picked without replacement from {y: 6, j: 7, n: 1, r: 1}? 1/5 What is prob of sequence stut when four letters picked without replacement from {u: 2, s: 2, k: 1, x: 3, t: 2, d: 2}? 1/1485 Calculate prob of sequence hmn when three letters picked without replacement from {c: 2, m: 3, h: 1, n: 1}. 1/70 Calculate prob of sequence pp when two letters picked without replacement from {p: 7}. 1 Calculate prob of sequence xvvi when four letters picked without replacement from {x: 2, v: 2, l: 12, k: 1, i: 2}. 1/11628 Three letters picked without replacement from upuuucpuuppuuuuuppp. Give prob of sequence ppu. 77/969 Calculate prob of sequence hf when two letters picked without replacement from {r: 5, f: 1, h: 10, i: 3, e: 1}. 1/38 What is prob of sequence sxx when three letters picked without replacement from sssxxsssssxsssssss? 5/272 What is prob of sequence nn when two letters picked without replacement from {w: 4, s: 3, n: 2, z: 2}? 1/55 Calculate prob of sequence bd when two letters picked without replacement from ddduuddddb. 7/90 What is prob of sequence ls when two letters picked without replacement from {l: 2, s: 5, p: 3}? 1/9 What is prob of sequence mw when two letters picked without replacement from {w: 1, m: 1, l: 1, u: 1, o: 1, r: 2}? 1/42 Calculate prob of sequence vo when two letters picked without replacement from vyovhxyc. 1/28 Calculate prob of sequence iup when three letters picked without replacement from uipiwrwii. 1/126 Four letters picked without replacement from mnnmnnlllnlnmmmx. Give prob of sequence lmlm. 1/182 Three letters picked without replacement from {g: 1, b: 4, i: 2}. Give prob of sequence igb. 4/105 Calculate prob of sequence oy when two letters picked without replacement from geggggfoegeowygygooo. 1/38 Calculate prob of sequence hlpp when four letters picked without replacement from fhhfffpfhffplflflf. 1/4080 What is prob of sequence oooo when four letters picked without replacement from {o: 6, a: 5, y: 6, v: 1}? 1/204 Two letters picked without replacement from jgjllejelbl. What is prob of sequence jl? 6/55 Two letters picked without replacement from yjyyyyyyyyjy. What is prob of sequence jj? 1/66 What is prob of sequence kkkk when four letters picked without replacement from kkkkk? 1 Two letters picked without replacement from ajnjjvjjtjjunvjtv. Give prob of sequence vv. 3/136 Two letters picked without replacement from ccpcbpqcmm. Give prob of sequence qm. 1/45 Calculate prob of sequence ipi when three letters picked without replacement from ippppppiiip. 14/165 Two letters picked without replacement from faeitnt. What is prob of sequence en? 1/42 What is prob of sequence xihh when four letters picked without replacement from {o: 1, i: 2, x: 1, c: 1, h: 4}? 1/126 Calculate prob of sequence qaq when three lett
{ "pile_set_name": "DM Mathematics" }
456*z Let s(i) be the third derivative of -11*i**7/70 + 5*i**4/12 - 256*i**3/3 + 654*i**2. Find the first derivative of s(f) wrt f. -132*f**3 + 10 Let q(c) = -c**3 + 12*c**2 - 12*c + 8. Let y be q(11). Let p = y + 6. What is the second derivative of -7 + 7 + p*m**2 - 7*m + 0 wrt m? 6 Let w = -25 + 28. Find the third derivative of w*x**2 + 3*x + 2*x + 13*x**4 - 5*x wrt x. 312*x What is the second derivative of -3 + 165*c**3 + 3 + 129*c - 126*c**3 wrt c? 234*c Let r(v) = -2*v**3 + 21*v**2 + 16*v - 20. Let j be r(11). Find the second derivative of 18*t + j*t**5 - 6 + 9 - 73*t**5 wrt t. -760*t**3 Suppose 3*b - 4*w = 21, 15 = b + w - 5*w. Let p be (9 + b)*(-1)/(-4). Find the third derivative of 4*f**2 + 5*f**p - 5*f**3 + 3*f**3 wrt f. 18 Let k(s) be the second derivative of 3*s**5 - 9*s**4/4 - s**2 + 10*s. Find the third derivative of k(h) wrt h. 360 Let c = -38 - -40. Find the second derivative of -5*w + 8*w + 2*w + 7*w**c wrt w. 14 Find the second derivative of 143*u + 49*u**5 + 43*u**5 + 12*u + 159*u wrt u. 1840*u**3 Let b(i) = -i**3 + 8*i**2 + 9*i + 3. Let j be b(9). Suppose 5*k - 42 = j*k. What is the second derivative of s + 26*s**5 - 5*s - k*s**5 wrt s? 100*s**3 Suppose 18 = 8*l - 2*l. Find the second derivative of -2*b**4 - 11*b**3 + 12*b + 2*b + 11*b**l wrt b. -24*b**2 Let j(s) be the third derivative of 0*s**3 + 0*s**5 - 1/20*s**6 + 7/12*s**4 + 0*s - 14*s**2 + 0. What is the second derivative of j(l) wrt l? -36*l Let a be 66/18 + -3 + (-4)/(-3). Let m(w) be the third derivative of 1/2*w**3 + 0 + a*w**2 + 0*w + 1/6*w**4. What is the derivative of m(i) wrt i? 4 Let z(x) = 2*x**3 + 4*x**2 + 2*x - 2. Let j be z(-2). Let s(c) = 3*c - 6. Let n(f) = 2*f - 6. Let q(a) = j*s(a) + 5*n(a). Differentiate q(d) with respect to d. -8 Let q(o) be the third derivative of o**6/8 + o**4/12 - 211*o**3/2 - 421*o**2. What is the first derivative of q(m) wrt m? 45*m**2 + 2 Let o(x) = 100*x - 2. Let f be (6/15)/((-1)/(-5)). Let l be o(f). Find the second derivative of -5*s**2 + 198 - l - s - s**2 wrt s. -12 Let w be ((-10)/(-6))/(-5)*(-17 + -1). What is the first derivative of w + 8 - 27 - i**4 + 10 wrt i? -4*i**3 Let c(p) = -1155*p**2 + 18*p - 151. Let m(k) = 385*k**2 - 6*k + 52. Let d(b) = -6*c(b) - 17*m(b). Find the second derivative of d(q) wrt q. 770 Let v(j) = -j**3 + 8*j**2 + 9*j + 4. Let y be v(9). Differentiate -5*g**4 - 1 + 6*g**y + 5*g**4 - 9 with respect to g. 24*g**3 Find the third derivative of 11*y**2 - 45*y**2 - 204*y**6 - 121*y - 137*y + 260*y wrt y. -24480*y**3 Let x(r) be the second derivative of 23*r**3/6 + 3*r**2 + 3*r - 12. Differentiate x(q) wrt q. 23 Let i(d) be the first derivative of -11*d**5/5 - 7*d**3 + 68. Find the third derivative of i(v) wrt v. -264*v Differentiate -13*n + n - n**4 + 133 - 3*n - 500*n**2 + 500*n**2 with respect to n. -4*n**3 - 15 Let y be 2*(-27)/4*-10. Suppose -3*z = -0*z - y. What is the third derivative of 2*p**5 + 47*p**2 + 2*p**5 - z*p**2 wrt p? 240*p**2 Let o(k) = -k**2 - 16*k + 20. Let g be o(-17). Differentiate -1 - g + 5*u**2 + 5*u**2 + 8 wrt u. 20*u Let p(r) be the third derivative of -71*r**6/20 - r**5/20 - 17*r**3/6 + 382*r**2. What is the third derivative of p(s) wrt s? -2556 Let c(o) be the second derivative of 23*o**4/6 - 23*o**3/3 - o**2 - 56*o. Find the second derivative of c(z) wrt z. 92 Let x(d) = -d**2 + 2*d - 6 + 5 - 8*d. Let v be x(-5). Find the second derivative of -s**3 - s + 5*s - v*s**4 + s**3 wrt s. -48*s**2 Let f(p) = -2*p**2 + p. Let g(w) = 99*w**2 - 22*w - 3. Let j(k) = 6*f(k) + g(k). What is the second derivative of j(v) wrt v? 174 Let k(f) be the second derivative of -f**8/56 + 2*f**6/15 + f**4/12 - 31*f**2/2 - f - 46. Find the third derivative of k(z) wrt z. -120*z**3 + 96*z Suppose 2*x + 2*x - 8 = 0. What is the third derivative of 4*v**2 + 24*v**3 - 20*v**2 - 2*v**x - 33*v**3 wrt v? -54 Let i(z) be the first derivative of 49*z**4 + 59*z**3/3 - z**2 + 45. Find the third derivative of i(j) wrt j. 1176 Let s = -728 - -1459/2. Let l(b) be the first derivative of 0*b**3 + 11 + 7/4*b**4 + s*b**2 + 0*b. What is the second derivative of l(m) wrt m? 42*m Let b be (6/(-21))/((-15)/70). Let r(x) be the first derivative of 0*x**2 - 9*x + 5 - b*x**3. Find the first derivative of r(z) wrt z. -8*z Let w(q) be the first derivative of 82*q**5/5 - q**4/4 + 17*q - 450. Differentiate w(j) with respect to j. 328*j**3 - 3*j**2 Let p(r) = r**3 - 4*r**2 - 3*r + 14. Let s be p(4). What is the derivative of -24*n**s + 8*n**2 - 39 - 10*n + 12*n wrt n? -32*n + 2 Let h(g) = 14*g**4 - 55*g**2 + 133. Let n(d) = -5*d**4 + 18*d**2 - 44. Let s(f) = -2*h(f) - 7*n(f). What is the first derivative of s(w) wrt w? 28*w**3 - 32*w Let d(k) be the second derivative of 95*k**4/4 - 237*k**2/2 - 29*k + 2. Find the first derivative of d(c) wrt c. 570*c Let i be 8/10*(-15)/(-2). Let h(j) = 5 + j**2 + 3*j**2 + i*j + 0*j**2. Let o(w) = -4*w**2 - 5*w - 5. Let s(v) = -5*h(v) - 6*o(v). Differentiate s(q) wrt q. 8*q Let r(k) = -k + 1. Let c(b) = -14*b + 2. Let m(q) = -c(q) + 3*r(q). Let g be m(1). Find the third derivative of 4*h**2 + 2*h**2 - g*h**2 + 5*h**3 wrt h. 30 Let v(r) = 4*r**3 - r**2. Let s(c) = 12*c**3 - 4*c**2 - 43. Let o(n) = s(n) - 2*v(n). What is the third derivative of o(k) wrt k? 24 Let z(x) be the first derivative of 72*x**7/7 - 50*x**3/3 - 66. Find the third derivative of z(a) wrt a. 8640*a**3 Let l(n) = 53 - 8 - 18*n - 3*n. Let q(m) = 20*m - 46. Let o(h) = 7*l(h) + 6*q(h). Differentiate o(p) wrt p. -27 Differentiate 144*u + 32*u + 88*u + 95*u - 178 + 17*u with respect to u. 376 Let h(i) = -i**3 + 4*i**2 + i + 5. Let b be h(4). Suppose 46 = 5*w - b. Find the third derivative of -26*g**2 + w*g**2 + 6*g**2 - 7*g**3 + 0*g**3 wrt g. -42 Let c(k) = -9*k + 180. Let o be c(20). Let z(f) be the first derivative of 1 + 0*f + o*f**3 - 1/2*f**2 - 3/2*f**4. Find the second derivative of z(s) wrt s. -36*s Let b(j) = -1165*j**3 - 9*j**2 - 881. Let o(q) = -291*q**3 - 2*q**2 - 220. Let m(r) = 2*b(r) - 9*o(r). Differentiate m(s) with respect to s. 867*s**2 Suppose -13 = -z - 11. What is the third derivative of 5*p**z + p**2 - 3 + 41*p**6 - 3*p**2 - 14*p**6 wrt p? 3240*p**3 Let n be ((-14)/(-98) - 41/(-7)) + -3. Differentiate -5*k**n - 2*k + 2*k + 27 - 19*k**3 wrt k. -72*k**2 Let n(g) = 28*g**2 + 6*g - 19. Let l = -152 - -153. Let h(x) = -x**2 + x - 1. Let t(z) = l*n(z) - 5*h(z). What is the second derivative of t(q) wrt q? 66 Let h(m) be the second derivative of -22*m**3/3 - 73*m**2/2 - 11*m. What is the first derivative of h(x) wrt x? -44 Let a(b) be the first derivative of b**2/2 + 6*b - 3. Let y be a(8). What is the first derivative of -11*s**3 + 11*s**3 + y*s**4 - 5 wrt s? 56*s**3 Let l(o) = -3*o**2 - 4*o + 5. Let a = 4 - 0. Let u(p) = -15 + 7*p + 5 + 6*p**2 + 2*p. Let v(m) = a*u(m) + 9*l(m). Find the first derivative of v(k) wrt k. -6*k Let k(u) be the first derivative of 4*u**6/3 + 35*u**2/2 + 16. Find the second derivative of k(q) wrt q. 160*q**3 Let f(v) = -4*v**2 - 5. Let u be 3*-3 - (1 - -1). Let c(n) = -2384*n**2 - 5 - 5 + 2376*n**2. Let r(x) = u*f(x) + 6*c(x). What is the derivative of r(l) wrt l? -8*l What is the second derivative of 14 - 8*m + 2*m + 27*m**2 + 7*m wrt m? 54 Let k(m) be the second derivative of 7*m**6/15 - 48*m**2 - 60*m. What is the first derivative of k(g) wrt g? 56*g**3 Let o = -18 - -19. Suppose -o - 11 = -2*a. Find the third derivative of g**a - 855*g**2 - 5*g**6 + 864*g**2 wrt g. -480*g**3 Find the third derivative of -149*w**6 - 916*w**4 + 916*w**4 + 2*w**2 - 181*w**6 - 60*w wrt w. -39600*w**3 Let m be 5/(-3)*(-57)/19. Find the second derivative of 6*b**2 + 6*b + 4*b - m + 5 wrt b. 12 Let t(h) = 17*h**3 - 47*h**2 - 114*h - 17. Let m(x) = -7*x**3 + 16*x**2 + 38*x + 6. Let p(u) = 8*m(u) + 3*t(u). Find the second derivative of p(q) wrt q. -30*q - 26 Let y(o) = -o**3 - 2*o**2 - o + 1. Let q(m) = -235*m**4 + 4*m**3 + 8*m**2 - 168*m - 4. Let c(k) = -q(k) - 4*y(k). What is the second derivative of c(v) wrt v? 2820*v**2 Let d(c) be the first derivative of 88*c**3/3 - 3*c**2/2 + 9*c - 75. What is the second derivative of d(h) wrt h? 176 Let x be (-3 - -47)*2/4. Find the second derivative of -4*g**5 + 17*g - 32*g + x*g wrt g. -80*g**3 Let w = 14 - 9. Suppose -2 = -w*h + 18. What is the first derivat
{ "pile_set_name": "DM Mathematics" }
1 What is prob of sequence begx when four letters picked without replacement from xxggeegggtgbgbxxbxge? 1/323 What is prob of sequence pkp when three letters picked without replacement from vkkppv? 1/30 Four letters picked without replacement from zzdzddddzddzdddd. What is prob of sequence dzzz? 11/728 What is prob of sequence yiyp when four letters picked without replacement from ioyiyopyipyy? 1/99 Four letters picked without replacement from fvffffffvvvvvfnvv. What is prob of sequence fnvv? 2/255 What is prob of sequence hni when three letters picked without replacement from titihtthityn? 1/220 Calculate prob of sequence ger when three letters picked without replacement from {k: 1, g: 6, m: 1, r: 1, e: 5}. 5/364 Calculate prob of sequence ka when two letters picked without replacement from xgssssgaksussguuxaa. 1/114 Calculate prob of sequence dz when two letters picked without replacement from vzggpzd. 1/21 Four letters picked without replacement from {u: 9, p: 1, e: 2, z: 7}. Give prob of sequence upeu. 1/646 Four letters picked without replacement from {d: 3, h: 9}. Give prob of sequence hhdd. 2/55 Three letters picked without replacement from xwxxwxwwxxx. What is prob of sequence xww? 14/165 Calculate prob of sequence fhff when four letters picked without replacement from {h: 4, f: 16}. 112/969 Two letters picked without replacement from {s: 15, n: 3}. What is prob of sequence ns? 5/34 Two letters picked without replacement from {g: 1, h: 1, f: 2, d: 1}. Give prob of sequence df. 1/10 Two letters picked without replacement from {u: 5, z: 2, x: 4}. What is prob of sequence zx? 4/55 Two letters picked without replacement from {p: 10, x: 2}. What is prob of sequence xp? 5/33 Calculate prob of sequence ofr when three letters picked without replacement from {o: 1, y: 2, r: 7, v: 1, f: 6}. 7/680 What is prob of sequence wlt when three letters picked without replacement from ltttwtwltl? 1/24 Calculate prob of sequence otok when four letters picked without replacement from {j: 6, k: 6, t: 1, o: 5}. 1/612 What is prob of sequence bbj when three letters picked without replacement from xrbrbrrrbjjrbbrrbr? 5/408 Calculate prob of sequence sssl when four letters picked without replacement from llsslslllsl. 7/330 Four letters picked without replacement from nnnnnxxxnnxnnnnxnnn. What is prob of sequence nxnx? 455/11628 What is prob of sequence hphq when four letters picked without replacement from opohoqppqoqzhopqo? 1/1785 What is prob of sequence rrkp when four letters picked without replacement from {r: 3, k: 2, p: 2, n: 2}? 1/126 Three letters picked without replacement from {f: 5, s: 1, w: 5, a: 6}. Give prob of sequence afa. 5/136 Calculate prob of sequence jjx when three letters picked without replacement from {b: 2, i: 1, c: 2, j: 2, l: 2, x: 5}. 5/1092 What is prob of sequence yn when two letters picked without replacement from nnnnnnnyye? 7/45 Calculate prob of sequence rzx when three letters picked without replacement from urzxs. 1/60 Calculate prob of sequence bb when two letters picked without replacement from bbbbbbbwwbbbbbbwbb. 35/51 Calculate prob of sequence am when two letters picked without replacement from nnmspuamu. 1/36 Calculate prob of sequence aoa when three letters picked without replacement from ozggaaaa. 1/28 Calculate prob of sequence kkck when four letters picked without replacement from kkckkkkck. 5/36 What is prob of sequence uw when two letters picked without replacement from uruzrrrzqrzwzrzurzz? 1/114 Two letters picked without replacement from {o: 4, b: 2}. Give prob of sequence bo. 4/15 Two letters picked without replacement from uacuaccczuycccczccg. Give prob of sequence uy. 1/114 What is prob of sequence wwwv when four letters picked without replacement from {v: 3, w: 15}? 91/816 Three letters picked without replacement from {w: 3, q: 13}. What is prob of sequence qqq? 143/280 Two letters picked without replacement from {b: 2, n: 4}. What is prob of sequence nn? 2/5 Two letters picked without replacement from hfhfhfhx. Give prob of sequence hx. 1/14 Calculate prob of sequence zw when two letters picked without replacement from wzwwwwwwzwwwzz. 20/91 Two letters picked without replacement from {d: 2, t: 2, s: 3, b: 4, m: 2}. What is prob of sequence bb? 1/13 Calculate prob of sequence zzs when three letters picked without replacement from {s: 3, z: 5, j: 3, o: 1}. 1/22 What is prob of sequence qqqq when four letters picked without replacement from llljlqppqqlplq? 1/1001 Two letters picked without replacement from wwwwwgywywwwyywywyw. What is prob of sequence wg? 2/57 Calculate prob of sequence auz when three letters picked without replacement from jzupjaua. 1/84 What is prob of sequence ka when two letters picked without replacement from {k: 3, a: 1, y: 2, q: 2, u: 3, v: 3}? 3/182 Two letters picked without replacement from {x: 5, s: 8}. Give prob of sequence xx. 5/39 Four letters picked without replacement from {x: 1, g: 1, p: 3, j: 6, n: 6}. What is prob of sequence xxjx? 0 Three letters picked without replacement from ssmmmfssssssmqq. Give prob of sequence mfm. 2/455 Calculate prob of sequence hl when two letters picked without replacement from {h: 5, y: 2, l: 3}. 1/6 Four letters picked without replacement from hanfccffcafafa. What is prob of sequence hfff? 5/2002 Calculate prob of sequence nnfe when four letters picked without replacement from nnfeenee. 1/70 Four letters picked without replacement from hhhjjhjh. Give prob of sequence hjjj. 1/56 What is prob of sequence bgkb when four letters picked without replacement from {s: 2, i: 1, q: 2, b: 3, k: 1, g: 6}? 1/910 Three letters picked without replacement from {r: 5, n: 13}. What is prob of sequence nnr? 65/408 Three letters picked without replacement from bbkybxxypb. What is prob of sequence xyx? 1/180 What is prob of sequence zrcz when four letters picked without replacement from zrrrzzzrzczzz? 28/2145 Calculate prob of sequence yye when three letters picked without replacement from {a: 1, y: 2, m: 1, b: 2, e: 1, r: 1}. 1/168 Calculate prob of sequence jqpy when four letters picked without replacement from {y: 1, p: 1, j: 1, t: 1, q: 1}. 1/120 Four letters picked without replacement from wwwkwkkkkkwkwkwkww. Give prob of sequence kwwk. 6/85 Three letters picked without replacement from zzzc. Give prob of sequence zzz. 1/4 Four letters picked without replacement from {n: 1, p: 2, f: 1, b: 3, l: 1, q: 5}. What is prob of sequence fnfl? 0 Three letters picked without replacement from {r: 3, s: 3, q: 1}. Give prob of sequence rrs. 3/35 Two letters picked without replacement from wsvwffssfwijfffvwsj. What is prob of sequence ji? 1/171 Calculate prob of sequence pxo when three letters picked without replacement from gpgoxxgoxogppogggoo. 3/323 What is prob of sequence bbbu when four letters picked without replacement from uuuuuubuuub? 0 What is prob of sequence kh when two letters picked without replacement from khdda? 1/20 Three letters picked without replacement from {s: 2, d: 2, z: 1, u: 4, e: 1}. What is prob of sequence sdd? 1/180 Two letters picked without replacement from {u: 1, s: 1, z: 4, p: 1, r: 1}. What is prob of sequence pu? 1/56 What is prob of sequence ppxr when four letters picked without replacement from {p: 3, x: 7, r: 5, f: 1, o: 2}? 7/2448 What is prob of sequence ckwm when four letters picked without replacement from cvccwmwcwvvmkw? 4/3003 What is prob of sequence bi when two letters picked without replacement from {n: 2, j: 1, g: 1, e: 1, b: 1, i: 2}? 1/28 Two letters picked without replacement from {z: 2, q: 7, y: 4}. Give prob of sequence yy. 1/13 Four letters picked without replacement from {i: 4, q: 1, k: 1, p: 2, r: 1, g: 3}. Give prob of sequence pgpk. 1/1980 Calculate prob of sequence yhvy when four letters picked without replacement from {h: 4, v: 2, c: 1, y: 3}. 1/105 Three letters picked without replacement from {r: 3, d: 8}. What is prob of sequence rdd? 28/165 What is prob of sequence qt when two letters picked without replacement from tjtqqgtqtt? 1/6 Calculate prob of sequence pl when two letters picked without replacement from {p: 2, t: 2, l: 1}. 1/10 What is prob of sequence kqvz when four letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
x - i + v. Is x less than or equal to -10? True Suppose -g - 4*q = 3 + 9, -g - 5*q - 15 = 0. Which is greater: g or -8/15? g Let i = -71 - -68. Are -5/2 and i equal? False Let w = 1 - 1. Let q = 6 + w. Let d = 8 - q. Which is greater: d or 0? d Let b = 0.03 + 1.97. Let m = -1 + b. Let o = 1 + m. Which is smaller: 0 or o? 0 Let g = 26 - 26.7. Is 2/7 equal to g? False Suppose -5*k + 4*l = -1 + 6, 10 = -5*k + 5*l. Suppose x = -k*z + 17, 3*z + 33 = 4*x + 8*z. Suppose 0*w + 4 = 2*w. Is x smaller than w? False Let l be (24/(-3510))/((-4)/10). Is -1 at least l? False Let v be 8/(-5)*30/(-4). Let p be 3/6*-1*-8. Suppose -i + 3 = 0, -p*i = -5*j + j - v. Is j at least 3/5? False Suppose -f + 4*f = -4*l, 2*l = 3*f. Let q = 304/7 + -314/7. Are q and f nonequal? True Suppose -s = -4*u + 4, -4*s + 2*s - 5*u - 8 = 0. Let x = 3 + 2. Let h = -4.9 + x. Which is bigger: h or s? h Let f = -25 + 49. Let j be (-3)/36*f/9. Is j >= 1? False Let c be 3/9 - (0 - 0). Suppose -2*m = -2 + 6, -4*z + 2*m + 12 = 0. Let u be 1/z - 2/(-4). Is u <= c? False Let t = 6.06 - 6. Is 1 greater than t? True Let y(z) = z**3 - 17*z**2 - 16*z - 34. Let p be y(18). Let k = -6 - 8. Let i be (-25)/k + 4/(-14). Which is bigger: p or i? p Let h(m) = m**3 + 5*m**2 + m - 2. Let a be h(-5). Which is smaller: a or 1? a Let f = 8 + -8. Let z = f + -0.1. Which is greater: z or -0.2? z Let f be (-2)/8*(-96)/(-39). Which is greater: f or 0? 0 Let v = -2/9011 - 1117358/27033. Which is smaller: v or -41? v Let d = 0.08 - 0.01. Let l = 5.07 - d. Is -2 smaller than l? True Let l be (1/(-2))/((-2)/(-12)). Let f be 0/(2 - 0/2). Is f <= l? False Let s(j) = -j + 3. Let y(m) = m - 3. Let d(l) = -3*s(l) - 2*y(l). Let r be d(7). Suppose -k = 2, 2*h + 3*k = 2*k + 6. Are h and r non-equal? False Let l = 15 + -19. Which is smaller: l or -5? -5 Let c be (-2)/(-8) - (-621)/108. Are c and 4 nonequal? True Let m = 28 - 19. Suppose i = 5 - 0. Suppose i*b = h - 11, -3*h - m = 5*b - 6*b. Which is smaller: -2 or b? b Let j be (-4)/(-16)*(0 - 1). Suppose 5 = -h + 2*a, -5*h + 3*a - 4 = -0*a. Are h and j unequal? True Let f = 13 + -27. Let j be (-5)/(-4)*f/35. Let x = 6 + -1. Which is greater: j or x? x Let r(w) = w**3 + 9*w**2 - 11*w - 18. Let p be r(-10). Which is bigger: -2 or p? -2 Let j = 0.31 + -0.41. Let p = -692 - -7618/11. Is p at most as big as j? False Let r(o) = -o + 8. Let c be r(0). Which is greater: c or 7? c Suppose 2*q - m = 4*q - 20, 2*q - 20 = 5*m. Let x = -14 + q. Let s = x - -5. Is s <= 2/5? False Let v = -43 - 2. Is v < -44? True Let h(a) = -a**3 - 3. Suppose -3 = -2*g + 7. Suppose 0 = -s + g*s. Let b be h(s). Is -2 > b? True Let q(p) = p**3 + 9*p**2 + 8*p + 12. Let n be q(-8). Let y = n + 6. Let r be 7/9 - (-4)/y. Which is bigger: r or -1? r Suppose 0*g - 22 = 2*g. Is g smaller than -4? True Let s be -1 - 1 - (-28)/7. Suppose s*j = 6*j. Is j less than 5/7? True Let t = -128/3 - -43. Suppose 0 = -2*f + 4 + 6. Suppose 3*w + 1 = f*j - 9, -j = -4*w - 2. Which is smaller: w or t? w Let s = -35 - -59. Let v = s + -42. Let u be (-16)/18 - 4/v. Which is smaller: -1 or u? -1 Let v = 4.9 - 1.9. Are 0 and v non-equal? True Let l = 3 + -3. Let b = 1 - 3. Is b greater than l? False Suppose 2 = -3*k - 1. Let g be k/(-4) - (-105)/12. Suppose -s + 2*z - g = 0, 0 = s - 7*z + 2*z + 24. Is -0.2 != s? True Let u be 4/(2 + -4)*-1. Suppose 4*h - u = 3*h - 2*y, -3*h + 18 = 3*y. Let v be (-2)/h*10/(-8). Which is greater: v or -1? v Let g(n) = -2*n**2 + 3*n + 4. Let o be g(4). Let t = 54/11 + -1369/66. Let k = o - t. Which is smaller: -1 or k? -1 Let t = -8325 - -3438223/413. Let i = t - -848/4543. Which is smaller: i or 1? i Suppose 0 = 3*g - 3 + 15. Let q = -3 + g. Let n = -25 - -18. Is n <= q? True Suppose -5*c = -0*c. Let y be 4*((-3 - -10) + -1). Let g be (y/40)/((-18)/(-20)). Is g less than c? False Suppose 2*m - 4 = 4*m. Is m < -3? False Let r = -123 - -123. Let t = -2.8 + 3. Which is smaller: r or t? r Let w be (-63)/(-54) + (-2)/(-3). Which is greater: 3 or w? 3 Let n be 76/10 + 4/10. Let z = 6 - n. Suppose -u = 3*u. Which is smaller: u or z? z Let f = -947/7 + 135. Let v = 0.2 - 0. Which is greater: v or f? v Let o(c) be the first derivative of c**2/2 - 4*c - 3. Let u be o(4). Which is smaller: 5/4 or u? u Let y = 53 + -52. Let b = 152/45 - 34/9. Which is bigger: y or b? y Let n = -86 - -42. Which is smaller: -41 or n? n Let o = 16 + -17. Does o = 9? False Suppose -42*y - 8 = -44*y. Is 19/7 < y? True Let g be ((-6)/(-2420))/(54/27345). Let z = 2/363 - g. Is 0 smaller than z? False Let d = 62/3 - 20. Suppose 4*m = 9*m. Suppose -z + 2*z = m. Which is greater: d or z? d Let c = -3 - -4. Let f(j) = -j**3 - j**2 - c + 0*j**2 + 2*j**2. Let s be f(0). Are s and 0 equal? False Let w(h) = -h - 1. Let q be (2/6)/(2/6). Let z be w(q). Which is smaller: z or -4/5? z Let q be (-4)/6 - (-6)/9. Suppose q = 3*j - 3. Let m = 0 + j. Which is smaller: -1/5 or m? -1/5 Let j = 80/3 - 27. Let w(s) = -s - 3. Let g be w(-7). Are j and g unequal? True Let a(c) be the third derivative of -c**4/24 + 5*c**3/6 + 9*c**2. Suppose 2*t = -t + 15. Let f be a(t). Which is smaller: f or -2/29? -2/29 Let b(r) = r - 1. Let k be b(2). Let l = -4 + k. Let t be (2/l - -2)*-3. Is -4 < t? False Let i be (4/((-8)/(-4)))/17. Are i and 0 unequal? True Let w = 3 + -2. Is -1/5 not equal to w? True Let p(u) = u**2 - 7*u. Let g be p(5). Let f be (-1)/(g/1174) + 0. Let a = f + -117. Which is smaller: a or 1? a Let l = 1454/13 - 112. Are 1 and l equal? False Suppose 0 = -4*y - 12, 2*n - 1 + 4 = -5*y. Let o = -15 + n. Which is greater: o or -8? -8 Let o(t) = t. Let a be o(3). Suppose -3*c + 9 = a. Which is bigger: 1/2 or c? c Suppose -4*v - 5*j + 5 = -0*j, -v + 5*j - 5 = 0. Is -4 at most v? True Let p = 3 - 3. Let o = -5 + 8. Suppose -5*a - o = -g + 3*g, -5 = 5*a. Are g and p nonequal? True Let t(w) = -w**2 + 12*w - 23. Let y be t(5). Is 0.1 bigger than y? False Let v be (-1)/(33/(-15) + 2). Suppose -v*h + c - 15 = 4*c, h + 20 = -4*c. Which is smaller: h or 1/2? h Let o be 3878/(-6) + (-5)/(-15). Let u = 17444/27 + o. Is 0 < u? True Suppose -5*y + 75 = -10*y. Let c = -25 - y. Let v be 2/5 - (-8)/c. Is v not equal to -0.1? True Let z be (1 + -3)*(-2)/4. Let j(v) = -v**3 + 13*v**2 + 13*v + 16. Let b be j(14). Is z smaller than b? True Let i(f) = -51*f**3 + 2*f**2 - 1. Let z be i(-1). Is 51 at least as big as z? False Let x = -608/5 - -125. Which is bigger: 2 or x? x Suppose -4*y = 2*q - 12, 3*q - 4*y + 4 = -8. Let c(z) be the first derivative of -z**4/4 - z**3 - z**2/2 - 2*z + 3. Let o be c(-3). Is o > q? True Let x be 3*(2 - (-16)/(-6)). Let y(n) = 2*n + 4. Let o be y(-5). Let h = o + 3. Which is smaller: x or h? h Let t be 16/(-10) + 10/(-25). Is t at most -6? False Suppose -2*x = 5*v - 8, 3*v = 3*x - v + 11. Is 5/11 bigger than x? True Let l = 2.3 + 0.5. Let t = 3 - l. Let u = -0.1 + t. Does u = -0.1? False Let c = -25.1 - -25. Which is greater: -27 or c? c Let p(k) = -2*k**2 + k + 2. Let a be p(0). Suppose 3 = -4*h - 5*m + 6, 3*h = -5*m + 1. Is h > a? False Let x = -3.697 + -0.003. Let l = 4 + x. Let z = -1.7 - l. Which is smaller: 0 or z? z Suppose 5*t - 12 - 3 = 0. Let b = -3 - -6. Suppose -b*j - j = -16. Which is bigger: t or j? j Let a = -4 - -6. Suppose 3*u - 20 = -a*u. Let n be (u/20)/((-4)/10). Which is smaller: n or 0? n Suppose -5*q - 27 = -3*q - 5*l, 0 = -3*q + 2*l - 35. Let m be 665/175 - (0 - -2*2). Is q less than or equal to m? True Let r = -934/7 - -133. Let g(l) = -l**2 + 5*l - 5. Suppose -2*w - 3*w = -20. Let z be g(w). Which is smaller: z or r? z Let j(f) = -5*f. Let z(d) = d**3 + 5*d**2 + 5*d + 5. Let o be z(-4). Let q be j(o). Let p(a) = -a**3 + 3*a - 1. Let v be p(2). Are q and v nonequal? True Let r be (-6)/(-15)*1 + 8/(-70). Which is smaller: r or -7/4? -7/4 Let r be (36/(-84))/(3/(-4)*-2). Suppose -4*z + 4 + 3 = -s, 2*s - 3*z + 4 = 0. Let f = -1 + s. Does r = f? False Let w be (-14)/(-8) + (-3)/(-12). Let m(h) = h - 9. Suppose 3*x - 22 - 8 = 0. Let v be m(x). Which is smaller: v or w? v Let f = -6.12 - -0.12. Is f > -2? False Let k be (3/(-35))/(2/5). Is k != 1? True Suppose -2*b = 7*b - 9. Is b greater than or equal to -4? True Let a = 10 - 8. Suppose 0 = -2*t - a*t. Which is greater: t or 1? 1 Suppose -1 = -q - 0. Are q and 1 unequal? Fa
{ "pile_set_name": "DM Mathematics" }
a = 26287 + 10681. What is the units digit of a? 8 Let h = -968 + 988. Let x = 1307 + -711. Suppose 4*u + h = x. What is the tens digit of u? 4 Let g be (2266/33)/(2/12). Suppose 5*x + 43 = 3*p + g, 2*p = 2*x - 146. Suppose -x - 250 = -5*a. What is the tens digit of a? 6 Let n = 17898 - -36322. What is the tens digit of n? 2 Suppose 11*s + 37 + 29 = 0. Let q(h) = -4*h - 20. Let o be q(s). Suppose 2*r = o*r - 258. What is the tens digit of r? 2 Suppose -5*r + 732 + 2118 = -3*k, 2*k = 10. Let o = r - 338. What is the units digit of o? 5 What is the units digit of 12/22 + (-12 - (-1833768)/198)? 0 Let b(c) = c**3 - 16*c**2 + 129*c - 2026. What is the units digit of b(16)? 8 Let y(m) be the third derivative of 7*m**5/12 - m**4/24 + 2*m**3/3 + m**2. Suppose 5*u + 5*z + 0 - 5 = 0, -3*z = -2*u - 13. What is the tens digit of y(u)? 4 Let g be 3 + 1 + 70/(-2). Let l = 106 - 36. Let q = l - g. What is the units digit of q? 1 Suppose 48 = -5*i - 4*h - 0, 3*i + 5*h = -34. Let b = i - -10. Suppose -b*d + 4*l - l + 98 = 0, 0 = -d - 2*l + 42. What is the units digit of d? 6 Let b(l) = l + 2*l - 16*l + 10*l + 26. What is the units digit of b(6)? 8 Let t(v) = 47*v**2 - 2*v - 311. What is the units digit of t(-15)? 4 What is the units digit of -188*((-16)/24 + 1839/(-36))? 9 Suppose 18336 = 4*j - w, 0 = 25*j - 27*j + 5*w + 9204. What is the hundreds digit of j? 5 Suppose -133070 = -23*v - 35862 + 372107. What is the ten thousands digit of v? 2 Let s(d) = -9*d**2 + 6*d + 5. Let c be s(-1). What is the tens digit of 6 + c/5*-362? 3 Suppose -5*f = -45 - 10. Suppose f - 9 = u. Suppose -u*b + 47 + 19 = 0. What is the units digit of b? 3 Let b(s) = s**3 - 83*s**2 - 129*s + 295. What is the tens digit of b(87)? 4 Suppose 3*r - 4*o = 147351, 0 = 2*r + 2*o - 56071 - 42163. What is the ten thousands digit of r? 4 Suppose l - 21 = -2*g, -4*g = 3*l - 8*g - 73. Let n(y) = -y**2 + 4*y - 6. Let j be n(5). Let f = l + j. What is the tens digit of f? 1 Suppose 0 = -3*n - 2*z + 64, -n + 0*z + 24 = 2*z. Suppose -12*p - 8608 = -n*p. What is the hundreds digit of p? 0 Suppose 0 = -50*v + 2135 + 57015. What is the thousands digit of v? 1 Suppose 115*t - 120*t = -300. What is the tens digit of 1272/t - (4/10)/2? 2 Suppose v - 26 = -21. Let o be v - 3 - 4 - -4. Suppose -p + 3*t = -112, -o*p + t = -3*t - 216. What is the hundreds digit of p? 1 Let n(m) = 34 - 80*m**3 - 36 - 68*m**3 - 3*m. Suppose 5*t + 7*w - 7 = 10*w, -2*w - 6 = -2*t. What is the units digit of n(t)? 9 What is the units digit of 68 - 66 - (3 + -12106)? 5 Suppose 8169 = 14*z - 95*z + 1114548. What is the hundreds digit of z? 6 Let k = 4409 + -3463. What is the tens digit of k? 4 Suppose 5*i - 2572 = 2*s, 20*i - 528 = 19*i - 3*s. What is the units digit of i? 6 Suppose -2*i - 3*w = 3*i + 388, 5*w + 390 = -5*i. Let j = i + 85. What is the tens digit of j/(-6)*(-15)/2? 1 Let j be 3*(-24)/(-18) - -1. What is the units digit of -5 - 5/(j/(-46))? 1 Let x(d) = -d - 2. Suppose 0 = -3*o - 2*j - 11, 0 = 5*o + 5*j - 2*j + 19. Let u be x(o). Suppose -91 = -u*s + 104. What is the tens digit of s? 6 Suppose 3*p = h - 16535, 69*h - 66*h = 3*p + 49641. What is the units digit of h? 3 Suppose 0 = 5*v - 16*o + 15*o - 34815, 0 = 3*v + 3*o - 20871. What is the tens digit of v? 6 Suppose 4*o - 3*j = 6*o - 23, 95 = 5*o - 5*j. Suppose -p - 910 = -q - 2*q, -o = 4*p. What is the hundreds digit of q? 3 Let h be ((2 - 0) + -3)/(8/(-376)). Suppose h*q = 25006 - 2963. What is the tens digit of q? 6 Let v(g) = 43*g**3 - 7*g**2 + 122*g - 21. What is the tens digit of v(9)? 5 Suppose -x = 4*m - 315, 2*m - 401 = -3*x + 524. What is the units digit of x + (0 - (5 + 1))? 1 Let d = -181 - -189. Suppose d*w - 9077 = 2995. What is the thousands digit of w? 1 Suppose -17*m + 255 - 81515 = 0. What is the tens digit of m/(-12) - (-1)/(-3)? 9 Suppose v = -5*o + 9*o + 95, 2*o = -v + 107. Let r = v - 99. Suppose 0*c + 4*m + 153 = c, r*c = -2*m + 594. What is the hundreds digit of c? 1 Suppose -223605 = -3*d - 3*f, -2*d - 26*f = -28*f - 149102. What is the units digit of d? 3 Suppose 0 = -8*u + 8081 + 1135. Suppose u = 46*w - 40*w. What is the tens digit of w? 9 Let y(h) = 24*h**2 - 6*h + 10. Let l be y(3). What is the units digit of (l/(-2))/((-2)/8*2)? 8 Let h = -12359 - -22225. What is the thousands digit of h? 9 Suppose -14*y + 19*y = 100. Suppose 5*p = -y, -3*u = 2*u + 3*p + 2. What is the tens digit of 48/(-28)*(-35)/u? 3 Let s = 18700 + -11854. What is the units digit of s? 6 Suppose q - 5*b = 10, 16 = 3*q + 2*b - 14. Suppose 15*l + q = 17*l. Suppose 0 = 2*i - 3*a - 246, -l*i + 590 = 3*a + 2*a. What is the hundreds digit of i? 1 Let j be (-1 + -2)*(3 - 16/3). Let l(k) = k**3 - k**2 - 3*k - 15. What is the units digit of l(j)? 8 Let r(v) = 5*v**2 - 15*v - 38. Let i(f) = 2*f**2 - 5*f - 13. Let y(b) = 8*i(b) - 3*r(b). Let k be y(-5). Suppose 485 = -k*c + 15*c. What is the tens digit of c? 9 What is the tens digit of 24 + 3761 + 75/(-5)? 7 Suppose 8*c + 156 = -124. Let s = 39 + c. Suppose 0 = -4*u, 3*a + 2 = s*a - u. What is the units digit of a? 2 Suppose 0 = -4*t - f + 17 + 68, 0 = 2*t + 4*f - 60. Suppose -21*y + t*y - 3 = 0. What is the units digit of 1*118*y/(-6)? 9 Suppose 5*r = 3*r - 2624. Let t = r + 3021. What is the units digit of t? 9 Let o(j) = -j**3 + 6*j**2 + 15*j + 13. Let b be o(8). Suppose -b + 17 = -t. What is the tens digit of (-476)/t - 10/15? 3 Suppose -8*z + 8 = -4*z. Suppose 4*b = 5*w + 30, b + 9 = -2*w + z*b. Let v(c) = -2*c**3 + 4*c**2 + c - 3. What is the tens digit of v(w)? 2 Suppose 0*b = 27*b + 12*b - 73944. What is the hundreds digit of b? 8 Let t(s) = 793*s + 736. What is the units digit of t(6)? 4 Let k be 4/(-8)*(-7 - -5) + 1. Suppose 3*w + 45 = -2*b + 2736, k*b - 6 = 0. What is the units digit of w? 5 Let h = 9759 - -31319. What is the units digit of h? 8 Let b(h) = h**3 - 17*h**2 + 35*h + 12. Let n be b(32). Suppose -14848 = -20*w + n. What is the thousands digit of w? 1 Suppose m + 3 = -0*m. Let p be m + (3 - 5) + -4. What is the tens digit of (9/(-6))/(p/246)? 4 Let z be (-6)/27 - (-370)/45. Let p(k) = 2*k**3 - 11*k**2 + 3*k - 19. What is the tens digit of p(z)? 2 What is the ten thousands digit of 42909/2 + -1 - 59/(-118)? 2 Let k be 594/4*(-4 + -5 + 25). Suppose 0*c - k = -9*c. What is the tens digit of c? 6 Suppose -32643 = -104*j + 72*j + 1241917. What is the hundreds digit of j? 8 Suppose 1 = -2*r + 11. Suppose r*v + c = 154, -3*v - 2 + 99 = -4*c. Suppose 0 = -5*t - d + 38, d + v = 4*t + 2*d. What is the units digit of t? 7 Let i be (-2)/6 + (-44)/12 - -7. Let m = i + -5. Let f(x) = -20*x**3 + 2*x**2 - x - 2. What is the hundreds digit of f(m)? 1 What is the units digit of (-3735)/((-18)/1584 + 4/(-11))? 0 What is the units digit of ((-6)/(-4))/(13/26)*(-38675)/(-51)? 5 Let w be ((-2)/(-10)*116)/(2/300). Suppose -26*k = -17468 + w. What is the units digit of k? 8 Let c = 1933 + -1656. What is the tens digit of c? 7 Let x(u) = 240*u - 19. Let f be x(2). Let c = f - -431. What is the hundreds digit of c? 8 Let c(p) = p**2 - 14*p - 4. Let q be c(14). Let k be 5/(75/(-35)) + q/(-3). What is the units digit of 275*k/((-15)/6)? 0 Suppose 0 = 37*j - 32080 - 129869. What is the hundreds digit of j? 3 Let u = 23307 - 16049. What is the units digit of u? 8 Let l(c) = -c - 12. Let w be l(-16). Suppose 4*x + 96 + 26 = 2*j, -5*j + 333 = w*x. Suppose 5*r - 25 = -0*v - v, -j = -v + 5*r. What is the units digit of v? 5 Let u(q) = 2 - 30 + 10*q + 86*q - 11. Let d be u(10). Suppose d = 14*k - 1151. What is the hundreds digit of k? 1 Let g = 331 - -420. Let b = g + -98. What is the hundreds digit of b? 6 Suppose -10244120 + 281670 = -253*f + 23*f. What is the thousands digit of f? 3 Let z(h) = 2*h**2 - 45*h + 117. What is the thousands digit of z(43)? 1 Let v(i) = 20*i**3 - i**2 - 2*i. Let a(b) = b**2 + 21*b - 70. Let l be a(-24). What is the tens digit of v(l)? 5 Suppose 0 = -11*q - 678 + 4209. Suppose -q - 348 = -3*c. Suppose c - 43 = 3*s. What is the tens digit of s? 6 What is the thousands digit of 120/(-28)*-24*182? 8 Suppose f - 1 = -0. Let b(h) = 2*h**2 + h - 2. Let s be b(f). What is the tens digit of 1 + (s - 1*(0 - 82))? 8 Suppose 3*t + 8 = 14. Suppose -800 = -3*p + 6*h - 4*h, -t*h = 5*p - 1312. What is the units digit of p
{ "pile_set_name": "DM Mathematics" }
+ p + j*x and give i. 6 Express 12*f**4 - 3*f**2 - 2*f**3 - 713 + 2*f**2 - 714 - f**3 + 1430 in the form m*f + i*f**2 + r*f**3 + g + t*f**4 and give i. -1 Rearrange (-2*g**3 + 0*g + 0*g)*(-642*g - 153*g + 220*g - 411*g) to f*g**4 + o + i*g + h*g**2 + u*g**3 and give f. 1972 Express (9 + 6*c - 3 - 9)*(0 - 2 - 1) in the form d*c + w and give w. 9 Express -15*s**2 + 2*s**2 - 3*s + 4*s**3 + 9*s + 12*s**2 as x + t*s + d*s**2 + p*s**3 and give d. -1 Rearrange 18*s**2 + 18 + 6*s**3 - 2*s**3 - 2*s - 18*s**2 - s**3 to q*s**3 + t + o*s**2 + w*s and give t. 18 Rearrange 3 + 43*i**2 - 2 + 5*i**2 - 8*i**2 to l + w*i**2 + d*i and give w. 40 Rearrange (-3 + a + 3 + a - 2*a - 2*a + (-3 + 6 - 2)*(-2*a - 2*a + 2*a) - a + 4*a - 2*a)*(a + 3*a - 6*a)*(30 + 28 - 207) to f + p*a + b*a**2 and give b. -894 Express (-b - b - 2*b)*(-72 + 14 - 16)*(3 - 2 + 0) as r + t*b and give t. 296 Express 10*n + 5*n + 2*n**2 + 2*n + 3*n + 2*n**2 in the form x*n + f*n**2 + y and give x. 20 Rearrange (-14*o + 7*o + 28*o)*(-3*o**3 + 2*o**3 - 2*o + 4*o**3) - o**4 + 5*o**4 - 2*o**4 to the form m*o + l + c*o**4 + j*o**2 + r*o**3 and give m. 0 Rearrange 6*l**3 - 6 - 2036*l + 7 + 2037*l to the form v*l + f*l**3 + x + w*l**2 and give f. 6 Rearrange -410*n - 67*n - 1 - 2 + 3 to the form o + k*n and give k. -477 Rearrange -11*k**2 + k + 16 - 17 + 2*k**4 + 0*k - 3*k to the form a + b*k**4 + n*k**3 + f*k**2 + h*k and give a. -1 Rearrange -k**2 + 0 - 8 + 0 + (-k + 0*k + 4*k)*(0 + 0 + 3*k) + 4*k - 4*k - 2*k**2 to the form b*k + h + x*k**2 and give x. 6 Express (-y - 43 + 43)*(-5 + 2 - 1 + y) + (3*y - 5*y + y)*(2 + y - 2) - 2*y**2 + 3 - 3 in the form a*y + r*y**2 + f and give a. 4 Express (-13 - 26 + 10)*(3 - 4*f - 3 + (0*f - 4*f + 0*f)*(-7 + 4 + 0)) in the form b*f + p and give b. -232 Express -331*b + 162*b - 18 + b**2 + 45 + 35*b**3 + 171*b in the form p*b + v + h*b**2 + y*b**3 and give h. 1 Rearrange 967*r**2 - 1 + 0 + 2*r**3 - r - 964*r**2 - r**4 + 0*r**4 to k*r + j*r**2 + d + y*r**4 + b*r**3 and give k. -1 Express (-5 + 1 - 12)*(-1 + 1 - 5*z**2)*(-2 - 2 + 0) in the form h + i*z + g*z**2 and give g. -320 Rearrange (2 - 2 + 2*t + (0 + 1 - 3)*(-2*t + 2*t + 2*t))*(-2*t**2 - t**2 + 6*t**2) to s + b*t + a*t**2 + r*t**3 and give a. 0 Express 9*q**2 + 226*q**3 - q + 0*q**2 + 9*q**2 - 18*q**2 in the form o*q**3 + j*q**2 + x + m*q and give m. -1 Express (-1 - 1 + 3)*(3 - 1 - 3)*(-4*k + k + 2*k) + (3 - 3 - 2)*(-103*k + 215*k - 103*k) as c + y*k and give y. -17 Express (-2*z - z + 2*z)*(-4 + 6 - 3) + 5*z - 4*z - 12*z + (-3*z + 6*z + 3*z)*(-3 - 1 + 6) in the form y + p*z and give p. 2 Rearrange 12*v**2 - 23*v**2 + 27*v**2 - 3*v + 3*v - 4*v**2 + (1 + 3 - 6)*(v**2 - v**2 + v**2) to the form m*v + x + b*v**2 and give b. 10 Express (2*i - 3 + 3 + (2*i - 3*i - i)*(3 + 1 - 3) + i + 5 - 5)*(1 + 1 - 3)*(3 - 3 + 5) in the form x*i + y and give x. -5 Express -75*s + 46 + 92*s - 25*s in the form w + d*s and give w. 46 Rearrange 19 - 716*u + 66 - 85 to the form t + i*u and give i. -716 Express (80 + s - 80 + 31*s**3)*(-3*s - 2*s + 6*s) as a*s + h + x*s**4 + w*s**3 + u*s**2 and give x. 31 Rearrange -11*b**2 - 10*b**2 + 0*b**2 - 7 - 2*b**2 - 2 to the form n*b**2 + f + p*b and give n. -23 Express (8*k - 4*k + 3*k)*(-13*k**3 + 11*k**3 - 10*k**3) + (-k**2 + k**2 - k**2)*(k**2 + 10*k - 10*k) in the form u*k**3 + d*k**4 + s*k**2 + x + m*k and give d. -85 Express (-4 + 3*q - 2*q + 0*q)*(-22*q**3 + 17532*q - 17532*q) in the form o*q**4 + l*q + i + z*q**3 + f*q**2 and give l. 0 Rearrange -7*w**2 + 12 + 0*w**3 + 0*w**2 + 2*w**3 - w**3 to the form p*w + j + t*w**3 + y*w**2 and give t. 1 Rearrange (-152*c + 363*c - 163*c)*(2 - 2 + 2*c**2) to the form t*c**2 + v*c + s + u*c**3 and give u. 96 Rearrange (2 + 2*t - 2)*((0 - 2 + 3)*(3 - 5 + 3) + 2 + 2 - 3 + 3 + 1 - 6 + 3 + 2 - 3)*(-1 + t**2 + 23 - 21*t - 18) to n*t + r*t**2 + a + z*t**3 and give r. -84 Rearrange -8*a**3 - 18 - a - 20 - 17 + 59 to the form l*a + p*a**3 + m + t*a**2 and give t. 0 Rearrange -c + 487 - 1360 + 2*c - 524 to s + j*c and give s. -1397 Express 13*z**3 + 2*z**4 - 5*z**4 + 2*z**2 + z**4 + 7 + 0*z**2 as t + y*z**2 + p*z**4 + k*z + i*z**3 and give i. 13 Rearrange 197*a + 187*a + 116 - 384*a + 3*a**2 to the form f + c*a**2 + r*a and give f. 116 Express 87047 - 87047 + 1476*q as k + m*q and give m. 1476 Express -u + 0*u + 2*u + 4*u - 2*u - 3*u + 3*u + u - 3*u + (14 + 2 + 0)*(-4*u + 0*u + 2*u) + u + 0*u - 2*u as a + k*u and give k. -32 Rearrange 23*g + g**3 - 5*g + 4 - g**4 + 2*g**2 - 22*g to the form l*g**2 + m + y*g + c*g**4 + o*g**3 and give l. 2 Express 4*g**4 - 3*g**3 + 316*g**2 - 316*g**2 + 1 + 3*g - 8*g**4 in the form a*g**3 + o*g**4 + c*g**2 + l*g + u and give u. 1 Rearrange -127*h + 64*h + 54*h**3 + 65*h to the form j*h + k*h**3 + d*h**2 + p and give j. 2 Express 2 - 3 - 362*w**2 + 2 - 3 - 126*w**2 as a*w**2 + u*w + p and give a. -488 Rearrange -4*z + 1816 - 1606 + 2*z to the form d + v*z and give v. -2 Rearrange 1 - 5*i - 267*i**3 + 266*i**3 - i**2 - 2*i**2 + 3*i**2 to l + g*i + v*i**3 + o*i**2 and give l. 1 Rearrange 4 - 3 + 4*f**2 + 1 + f - 30*f**3 + 4*f**3 + 18*f**3 to the form j + o*f + c*f**3 + i*f**2 and give j. 2 Express -5 + 2 - 7*g + 1 + (-2 - 2 + 2)*(3*g + 4*g - 5*g) - 70 + 70 + 26*g in the form q*g + r and give r. -2 Rearrange -15*f - 7*f**4 + 14*f - 3 - 3*f**2 + 4*f**2 + f**3 to the form w + a*f**2 + d*f + n*f**3 + t*f**4 and give n. 1 Express (-2 + 5 - 2)*(37*j - 148*j + 543*j) + 0 + j + 0 as q*j + s and give q. 433 Express (-82 - 36 + 15)*(3*u**2 + 61 - 61) in the form l + i*u + k*u**2 and give k. -309 Rearrange -3185*f**2 - 4 + 3186*f**2 + 4 + 291*f**3 + 2*f to the form o + n*f**2 + x*f**3 + u*f and give u. 2 Rearrange 177*y**2 + 582*y**2 + 318*y**2 - 70*y**2 + 112*y**2 to d + r*y + k*y**2 and give k. 1119 Rearrange 0 - 26 + 23 + 11*l**4 + 11*l**3 to w + i*l**2 + q*l + t*l**3 + a*l**4 and give t. 11 Express (-3 + 4 - 2)*(-20001*k**2 + 92 - 2*k**4 + 20001*k**2) as t*k**3 + v*k**2 + q + o*k**4 + x*k and give o. 2 Rearrange -t**2 + 4*t**2 + 0*t**2 + (-4 + 3 + 3)*(10 - 181 - 74)*(0*t + 0*t + 3*t**2) to a + u*t + d*t**2 and give d. -1467 Express 10*p + 22*p + 7*p + 3*p**2 + 0*p - 135*p as n*p**2 + r + q*p and give n. 3 Express -14299 + 14254 - 5*x + x in the form q*x + g and give g. -45 Rearrange 182*c - 5 + 7 + 1460*c - 2 to the form b + h*c and give b. 0 Rearrange (-2*l + 1 - 1)*(0 + 2*l + 0) + 27997*l**2 + 8 - 8 - 28747*l**2 to p*l**2 + h + g*l and give p. -754 Express -12940*m**4 + m**2 + 12938*m**4 - 9 + 3*m**3 - 12*m + 7 as y*m + q*m**4 + v*m**3 + s*m**2 + h and give h. -2 Rearrange 2 + 0 - 6*m - 4 - 1 - 2*m + 1 + (0 + 2 - 3)*(3*m + 12*m + 4*m) to the form b*m + q and give b. -27 Rearrange -45*g**2 + g - g**2 + 74 + 43*g**2 - 3*g to the form i*g**2 + y + j*g and give i. -3 Rearrange -7614*q - 1 - 10 + 7560*q to the form a*q + z and give z. -11 Rearrange 11 + 143 - 2*d + 152 + 3*d to r*d + u and give u. 306 Rearrange -103 + 36 + 33 - 123*l + 34 to d*l + k and give k. 0 Express 223*c + 204*c - 397*c as v + u*c and give u. 30 Express (-3*b + 4*b - 2*b)*(-4*b + 0*b + 3*b + (2 + 2 - 3)*(-6*b + 4*b + 4*b) + 0*b + 2*b + b + 58*b + 42 - 42) as j*b + h*b**2 + k and give h. -62 Rearrange -19*d**2 + 20*d**2 + 0*d**2 + 379*d to the form n*d + f + i*d**2 and give i. 1 Express (2*g - 3*g + 0*g)*(1377 + 545 + 1184 + 834 - 280) in the form s*g + l and give s. -3660 Rearrange -4*a**3 - 3*a**2 - 2*a + 20*a**2 - 3*a**2 + 2*a**3 to x*a**2 + s*a**3 + p*a + h and give s. -2 Express (-6*r + r - r + 1)*(0 - 2 - 4)*(-r - 3*r + r) - 5*r**2 + 5*r**2 - 2*r**2 in the form d*r + w*r**2 + t and give d. 18 Express 112*f**3 + 0 + 5 - 116*f - 5 + 109*f as r*f**3 + v*f**2 + h*f + q and give r. 112 Rearrange l**3 - 3*l**4 - 4 + 9*l**2 - 8 + 12 to the form z*l**2 + y*l**4 + n*l**3 + o + a*l and give z. 9 Rearrange 3 + 20*h - 17*h - 52 to the form p + g*h and give p. -49 Express 1608*r**2 - 3221*r**2 + r + 31 + r + 2*r**3 + 1614*r**2 in the form v*r**3 + n*r**2 + x*r + j and give j. 31 Express -3*g**2 + 0*g**2 - 38 + 0*g**2 + 4*g**2 + 0*g**2 in the form i*g + o + w*g**2 and give o. -38 Rearrange 22*c + 53*c + 3*c**2 - 9*c - 13*c to the form l + h*c**2 + x*c and give h. 3 Rearrange -13*m**2 + 5*m**2 + 3 - 24*m**2 + 5*m**2 to the form y + c*m**2 + h*m and give y. 3 Rearrange
{ "pile_set_name": "DM Mathematics" }
*j + 9) Factor -j**2/5 + 256*j/5 + 11172/5. -(j - 294)*(j + 38)/5 Determine d so that -d**3/8 - 131*d**2/2 + 5331*d/8 - 2403/4 = 0. -534, 1, 9 Factor -o**3/5 - 97*o**2 - 2879*o/5 - 479. -(o + 1)*(o + 5)*(o + 479)/5 Factor -80*a**3/3 - 3019*a**2/3 - 788*a. -a*(5*a + 4)*(16*a + 591)/3 Determine c, given that -3*c**3 - 555*c**2 - 22317*c + 22875 = 0. -125, -61, 1 Factor -8*y**3/5 - 97*y**2/5 - 228*y/5 - 27/5. -(y + 3)*(y + 9)*(8*y + 1)/5 Factor -2*z**4/3 + 350*z**3 + 1054*z**2 + 3166*z/3 + 352. -2*(z - 528)*(z + 1)**3/3 Find i such that i**2 - 62756*i - 188277 = 0. -3, 62759 What is k in -8*k**5 - 7436*k**4 - 1707358*k**3 + 9571559*k**2 - 10524360*k - 7868025 = 0? -935/2, -1/2, 3 Factor -k**2/2 + 2514*k - 3160098. -(k - 2514)**2/2 Factor 4*n**4 - 440*n**3 + 416*n**2 + 2168*n + 1308. 4*(n - 109)*(n - 3)*(n + 1)**2 Solve 3*h**2 - 217806*h + 3953287803 = 0. 36301 Factor -t**2/2 - 1329*t/2 - 1989. -(t + 3)*(t + 1326)/2 What is v in -3*v**4 + 601164*v**3 - 30115911738*v**2 - 60233626980*v - 30117114075 = 0? -1, 100195 Suppose -r**5/5 + 107*r**4/5 - 943*r**3/5 - 123903*r**2/5 + 503712*r/5 - 378972/5 = 0. What is r? -29, 1, 3, 66 Let -5*d**2 - 1960*d - 1955 = 0. Calculate d. -391, -1 Suppose -3*t**4 - 1089*t**3 - 1056*t**2 + 10836*t - 8688 = 0. Calculate t. -362, -4, 1, 2 Let 2*h**5/7 + 12*h**4/7 - 40*h**3/7 - 60*h**2/7 + 38*h/7 + 48/7 = 0. Calculate h. -8, -1, 1, 3 Suppose -2*z**4/19 + 284*z**3/19 + 21518*z**2/19 + 336400*z/19 = 0. Calculate z. -29, 0, 200 Factor -2*s**2/5 - 486*s/5 + 10660. -2*(s - 82)*(s + 325)/5 What is n in -4*n**5 - 136*n**4 + 2008*n**3 - 8864*n**2 + 15276*n - 8280 = 0? -46, 1, 3, 5 Factor 2*v**3/3 + 108356*v**2/3 + 1467627842*v/3. 2*v*(v + 27089)**2/3 Factor 36*m**3 - 685736*m**2 + 3265589120*m - 725652608. 4*(m - 9524)**2*(9*m - 2) Factor -2*g**2 - 212*g - 3818. -2*(g + 23)*(g + 83) Find f such that -20*f**5/3 + 52135*f**4/3 + 56545*f**3 + 39230*f**2/3 - 208780*f/3 - 17400 = 0. -2, -1/4, 1, 2610 Factor w**2/5 - 3689*w/5 + 2948. (w - 3685)*(w - 4)/5 Solve 84*a**5/13 + 1594*a**4/13 + 5002*a**3/13 - 39432*a**2/13 - 180504*a/13 + 4320/13 = 0. -12, -6, 1/42, 5 Solve 4*p**3/3 + 1276*p**2/3 + 8776*p/3 + 4160 = 0. -312, -5, -2 Suppose -3*h**4/5 - 3429*h**3/5 - 6837*h**2/5 + 10269*h/5 = 0. Calculate h. -1141, -3, 0, 1 Factor 2*j**3 - 16*j**2 - 722*j + 736. 2*(j - 23)*(j - 1)*(j + 16) Let -5*w**4 - 85*w**3 = 0. Calculate w. -17, 0 Factor -3*b**4 + 558*b**3 + 3477*b**2 - 4032*b. -3*b*(b - 192)*(b - 1)*(b + 7) Factor 4*d**2/5 + 4392*d/5 + 8768/5. 4*(d + 2)*(d + 1096)/5 Factor f**2/7 - 679664*f/7 + 679663/7. (f - 679663)*(f - 1)/7 What is f in 2*f**4 - 2248*f**3 - 2252*f**2 + 2248*f + 2250 = 0? -1, 1, 1125 Let 3*z**4 - 810*z**3 + 81675*z**2 - 3645000*z + 60750000 = 0. What is z? 60, 75 Let -153*n**3 + 2748*n**2 - 12132*n - 480 = 0. What is n? -2/51, 8, 10 Determine q so that -507*q**3 + 880854*q**2 - 383474880*q + 763430400 = 0. 2, 11280/13 Suppose -2*g**5/17 + 116*g**4/17 - 1270*g**3/17 - 3140*g**2/17 + 1272*g/17 + 3024/17 = 0. Calculate g. -2, -1, 1, 18, 42 Solve l**3/8 - 719*l**2/4 + 508225*l/8 + 1576875/2 = 0. -12, 725 Factor 7*c**3/9 + 187*c**2/9 - 6*c. c*(c + 27)*(7*c - 2)/9 Let 3*x**5 - 870*x**4 - 12693*x**3 - 22764*x**2 - 10944*x = 0. What is x? -12, -1, 0, 304 Factor 5*z**2 - 611500*z + 18696612500. 5*(z - 61150)**2 Solve 5*k**4 - 5455*k**3 + 1440310*k**2 + 26187580*k - 27622440 = 0. -18, 1, 554 Suppose 26*d**2 - 5690*d + 10416 = 0. What is d? 24/13, 217 What is w in -5*w**4/2 - 2775*w**3 - 5535*w**2/2 + 5545*w = 0? -1109, -2, 0, 1 Find s such that s**3/8 - 361*s**2/4 + 26353*s/8 - 61731/2 = 0. 19, 684 Factor g**3/7 + 384*g**2/7 - 4315*g/7 + 11850/7. (g - 6)*(g - 5)*(g + 395)/7 What is c in -2*c**5/17 + 110*c**4/17 - 1828*c**3/17 + 12424*c**2/17 - 33744*c/17 + 23040/17 = 0? 1, 6, 10, 32 Let 3*q**3 + 5934*q**2 - 167916*q + 1179528 = 0. Calculate q. -2006, 14 Let 4*o**5 - 452*o**4 - 72*o**3 + 8136*o**2 + 324*o - 36612 = 0. Calculate o. -3, 3, 113 Determine n, given that 2*n**3 - 26699*n**2 = 0. 0, 26699/2 Determine s so that -15*s**5/2 + 411*s**4/2 - 2847*s**3/2 + 3369*s**2/2 - 459*s = 0. 0, 2/5, 1, 9, 17 What is y in -3*y**2/8 + 855*y/4 - 17901 = 0? 102, 468 Let -5*q**2/3 + 111895*q/3 - 111890/3 = 0. Calculate q. 1, 22378 Factor -l**3/3 + 87*l**2 + 529*l/3 - 263. -(l - 263)*(l - 1)*(l + 3)/3 Factor 5*n**2/3 + 31775*n + 95310. 5*(n + 3)*(n + 19062)/3 Factor 96*a**3 + 45508*a**2 + 137544*a + 5652. 4*(a + 3)*(a + 471)*(24*a + 1) Find q such that -128*q**5 + 14352*q**4 + 155738*q**3 - 748989*q**2/4 + 286875*q/4 - 18117/2 = 0. -11, 3/8, 122 What is l in -l**2 + 615*l + 1854 = 0? -3, 618 Factor 3*a**4/2 - 6201*a**3 - 12405*a**2/2. 3*a**2*(a - 4135)*(a + 1)/2 Let -5*j**5 + 40*j**4 + 1235*j**3 - 6610*j**2 + 10740*j - 5400 = 0. What is j? -15, 1, 2, 18 Factor -w**2/2 - 106*w - 211/2. -(w + 1)*(w + 211)/2 Suppose -s**5 + 18*s**4 - 29*s**3 - 228*s**2 - 180*s = 0. Calculate s. -2, -1, 0, 6, 15 What is c in 2*c**2 - 20400*c + 52020000 = 0? 5100 Solve 3*w**2 + 8850*w + 6526875 = 0 for w. -1475 Suppose -2*n**2/3 + 458*n/3 - 8460 = 0. What is n? 94, 135 Find h, given that 55*h**5 - 291600*h**4 + 515416220*h**3 - 303861112470*h**2 + 248175141165*h + 55170846630 = 0. -2/11, 1, 1767 Find p, given that -6*p**5 - 303*p**4 - 3894*p**3 - 13860*p**2 + 10044*p + 8019 = 0. -33, -9, -1/2, 1 Factor 9*u**4 + 817*u**3 + 24658*u**2 + 245580*u - 55800. (u + 30)**2*(u + 31)*(9*u - 2) Find y such that -3*y**4/7 + 717*y**3/7 + 3*y**2/7 - 717*y/7 = 0. -1, 0, 1, 239 Factor 2*r**2/3 - 1834*r. 2*r*(r - 2751)/3 Factor 2*v**2 + 50000*v + 49998. 2*(v + 1)*(v + 24999) Suppose -2*d**3/3 + 20*d**2 + 1472*d/3 = 0. Calculate d. -16, 0, 46 Suppose -2*z**2 - 184244*z - 4243231442 = 0. What is z? -46061 Determine c, given that 7*c**5/5 + 1263*c**4 + 1386321*c**3/5 - 17115071*c**2/5 + 50156664*c/5 + 7518564/5 = 0. -457, -1/7, 6 Factor -d**3 + 1730*d**2 - 735377*d + 92226448. -(d - 1168)*(d - 281)**2 Find v such that 2*v**4/11 - 1268*v**3 - 181552*v**2/11 - 768420*v/11 - 1048050/11 = 0. -5, -3, 6987 Factor -2*x**4 - 96*x**3 - 1114*x**2 - 2556*x + 10368. -2*(x - 2)*(x + 9)**2*(x + 32) Factor -i**4 + 52876*i**3 - 698862084*i**2 - 2796082880*i - 2796294400. -(i - 26440)**2*(i + 2)**2 Factor 3*m**2 + 246*m + 936. 3*(m + 4)*(m + 78) Factor 5*a**3 - 210*a**2 + 2520*a - 7040. 5*(a - 22)*(a - 16)*(a - 4) Let 3*z**2 + 44109*z + 44106 = 0. Calculate z. -14702, -1 Determine w, given that -4*w**4 - 2264*w**3 - 360528*w**2 - 10442272*w + 142779520 = 0. -262, -52, 10 Factor 6*m**2/7 + 10914*m + 152772/7. 6*(m + 2)*(m + 12731)/7 Factor -5*x**4 + 180*x**3 + 415*x**2 - 1350*x + 760. -5*(x - 38)*(x - 1)**2*(x + 4) Factor 14*h**3/3 - 41683*h**2/2 + 2233*h/3. h*(h - 4466)*(28*h - 1)/6 Factor 4*g**3 + 60612*g**2 + 726716*g - 787332. 4*(g - 1)*(g + 13)*(g + 15141) Factor -a**4/6 + 17*a**3/2 + 91*a**2/2 + 389*a/6 + 28. -(a - 56)*(a + 1)**2*(a + 3)/6 Determine v so that 2*v**4/3 - 3218*v**3/3 + 212212*v**2 = 0. 0, 231, 1378 Suppose -l**4/2 + 77*l**3 + 996*l**2 = 0. Calculate l. -12, 0, 166 Factor -2*y**2/7 + 22*y - 2700/7. -2*(y - 50)*(y - 27)/7 Determine g so that -g**4/2 + 51*g**3/4 - 417*g**2/4 + 289*g - 120 = 0. 1/2, 5, 8, 12 Find a such that 3*a**4 + 379*a**3 - 638*a**2 + 256*a = 0. -128, 0, 2/3, 1 Suppose -q**3/2 + 3319*q**2/2 + 84277*q - 175188 = 0. What is q? -52, 2, 3369 Let -2*s**5/21 - 82*s**4/21 - 718*s**3/21 - 1718*s**2/21 + 240*s/7 + 600/7 = 0. Calculate s. -30, -6, -5, -1, 1 What is c in c**4/8 - 7677*c**3/8 - 15357*c**2/8 - 7679*c/8 = 0? -1, 0, 7679 Find l, given that 7*l**4/2 - 109*l**3/4 - 111*l**2/2 - 61*l/4 + 19/2 = 0. -1, 2/7, 19/2 Find w, given that -w**5/7 - 5*w**4 - 407*w**3/7 - 1693*w**2/7 - 1320*w/7 = 0. -15, -11, -8, -1, 0 Factor -3*p**2 + 7698*p + 30840. -3*(p - 2570)*(p + 4) Determine j, given that -j**2/7 - 1448*j/7 - 331455/7 = 0. -1163, -285 Factor z**4/7 + 969*z**3/7 - 3887*z**2/7 + 4863*z/7 - 278. (z - 2)*(z - 1)**2*(z + 973)/7 Factor 47928*r**3 - r**2. r**2*(47928*r - 1) Solve -b**5/4 - 115*b**4 + 1389*b**3/4 - b**2 - 463*b = 0. -463, -1, 0, 2 Determine w, given that -2*w**2 - 380*w - 17762 = 0. -107, -83 Factor -2*g**3/5 - 36*g**2. -2*g**2*(g + 90)/5 Determine l so that l**4 + 60*l**3 + 1092*l**2 + 5408*l = 0. -26, -8, 0 Suppose 12*d**4 - 1671*d**3 + 77301*d**2 - 1195
{ "pile_set_name": "DM Mathematics" }
). Calculate t(m(l)). -18*l Let j(m) = -2*m**2 + 4*m**2 - 3*m**2. Let t be (-64)/(-11) - (-8)/44. Let f(n) = -t + 6 - 2*n. What is j(f(z))? -4*z**2 Let n(q) = 4*q - 2*q + 10 - 10. Let k(d) = 25*d**2. Determine n(k(w)). 50*w**2 Let r(x) be the second derivative of 0*x**3 + 0*x**2 + 0 - 1/12*x**4 + 4*x. Let k(u) be the first derivative of 3*u**2/2 - 1. Calculate r(k(d)). -9*d**2 Let v(l) be the second derivative of l**3/3 + l. Let h(s) be the first derivative of -s**4/12 - 4*s + 3. Let o(b) be the first derivative of h(b). Give o(v(m)). -4*m**2 Let a(k) = 0*k + k - k - 2*k. Let b(l) = -4*l**2 - 2. Let w be ((-4)/(-6))/((-2)/(-9)). Let x(p) = -5*p**2 - 3. Let r(g) = w*b(g) - 2*x(g). Calculate r(a(s)). -8*s**2 Suppose 3*m - 4*t - 24 = 0, 0*t = -5*m - 2*t + 14. Let v = m + -1. Let h(w) = -v*w + 2*w + 2*w. Let j(s) = s**2. What is h(j(y))? y**2 Let c(r) = -13*r**2. Let f(g) = -7*g + 6. What is f(c(z))? 91*z**2 + 6 Let g(h) = 8*h**2. Let m(b) = 201*b + 3. Determine m(g(x)). 1608*x**2 + 3 Let q(h) = -11*h + 6. Let p(n) = -12*n + 7. Let i(s) = -6*p(s) + 7*q(s). Let l(t) = 6*t**2. Give l(i(g)). 150*g**2 Let k(w) = 2*w**2. Let h(r) = -3*r**2 + 3*r**2 - 5*r**2 + 14*r**2. Determine k(h(f)). 162*f**4 Let g(o) = -135*o. Let h(y) = 25*y. Determine g(h(w)). -3375*w Let r = 7 + -10. Let g(s) = -s**2 - 3*s. Let v(j) = -j**2 - 4*j. Let w(d) = r*v(d) + 4*g(d). Let l(h) = 3*h. Calculate w(l(y)). -9*y**2 Let x(j) = -4375*j. Let s(g) = -3*g**2. Give s(x(r)). -57421875*r**2 Let k = -4 - -4. Let b(m) = -3*m + k + 0 + m. Let z(o) = o**2. Calculate z(b(l)). 4*l**2 Let c(d) be the third derivative of d**2 + 0*d**3 + 0*d + 0 + 1/24*d**4. Let z(x) = -54 + 3*x + 54. Calculate z(c(b)). 3*b Let g(l) = 2*l**2 + 2*l. Let i(d) = d**2 - d. Let p(j) = g(j) + 2*i(j). Let v(z) = 5*z**2. Give v(p(o)). 80*o**4 Let v(b) = -2108*b**2. Let p(u) = -2*u. What is p(v(t))? 4216*t**2 Let o(w) = 2*w. Let a(l) = -215*l**2. Give o(a(s)). -430*s**2 Let v(m) = -5*m + 0 + 0 + 0. Let y(x) = -2*x**2. Give v(y(o)). 10*o**2 Let v(d) be the second derivative of -1/6*d**3 + 0 - 3*d + 0*d**2. Let l(a) = 2*a. What is v(l(m))? -2*m Let p(k) = -k**2 - 8*k. Let x be p(-8). Let t(h) be the first derivative of -1 + 1/3*h**3 + 0*h**2 + x*h. Let z(d) = -2*d. Determine t(z(l)). 4*l**2 Let v(f) = 3*f + 5. Let j(z) = 1. Let n = -29 - -24. Let k(d) = n*j(d) + v(d). Let o(b) = 2*b**2. Give o(k(i)). 18*i**2 Let c(z) = 2*z. Let d(v) = 1187*v**2. Give d(c(t)). 4748*t**2 Let z(u) = 7*u - 21. Let v(x) = -3*x**2. Calculate v(z(f)). -147*f**2 + 882*f - 1323 Let a(p) = -15312*p**2. Let i(j) = -2*j**2. Calculate i(a(w)). -468914688*w**4 Let x(v) be the third derivative of -v**4/24 + 5*v**2 + 6. Let y(g) = g**2 + 8. Determine x(y(h)). -h**2 - 8 Let g(h) be the second derivative of -h**6/360 + h**3/6 - 3*h. Let u(j) be the second derivative of g(j). Let r(x) = -16*x. What is r(u(k))? 16*k**2 Let m(w) be the first derivative of w**3/3 - 2. Let b(o) = -6*o - 1 + 1. Determine b(m(r)). -6*r**2 Let n(s) = 2*s + s + s. Let a(k) = 3*k - 282 + 282. Calculate a(n(x)). 12*x Let j(w) = 137*w - 137*w - 6*w**2. Let h(d) = 8*d. Give h(j(b)). -48*b**2 Let k(v) = 2*v**2. Let j(p) = p + 9*p + 8*p. What is k(j(q))? 648*q**2 Let a(p) = -13*p. Let x(v) = -3*v. Let q(i) = -2*a(i) + 9*x(i). Let s(m) be the second derivative of m**3/6 + 2*m. What is q(s(h))? -h Let d(m) = 4*m**2 + 13 - 13. Let z(v) = -v. Calculate d(z(x)). 4*x**2 Let q(v) = 0 - 2*v**2 + 0. Let t(m) be the third derivative of m**6/720 + m**4/12 - m**2. Let w(c) be the second derivative of t(c). Determine w(q(l)). -2*l**2 Suppose 3*l - 25 = 5. Let y(s) = s - 5. Let c(h) = -10. Let p(o) = l*y(o) - 5*c(o). Let n(q) = q**2. Determine n(p(t)). 100*t**2 Let c(g) = -2*g**2. Let d(s) = -2*s. Calculate c(d(x)). -8*x**2 Let y(r) = -2*r**2 - 3. Let a(s) = -s**2 - 1. Let t(b) = 6*a(b) - 2*y(b). Let d(h) = 16*h. Give t(d(u)). -512*u**2 Let i(l) = l**2. Let k be ((-22)/8)/(8/(-192)). Let v(y) = -10*y + k - 66. Calculate v(i(p)). -10*p**2 Let a(i) = -2*i. Let v(y) = -y + 4. Suppose 5*s - 4 = g, -5*g = -7*s + 2*s. Let d(l) = 3 - g - 1. Let c(b) = -4*d(b) + v(b). Determine a(c(j)). 2*j Let y(z) = 4*z**2. Let o be (1/3)/((-5)/(-105)). Let p(g) = g**2 - 4*g**2 - 7 + o. Determine p(y(q)). -48*q**4 Let c(q) = -2*q - 2*q**2 + 2*q. Let o(g) be the third derivative of g**6/360 + g**3/3 - g**2. Let m(x) be the first derivative of o(x). Give c(m(y)). -2*y**4 Let t(c) = -c**2. Let g(f) be the first derivative of -5*f**2/2 + 9. Calculate t(g(z)). -25*z**2 Let w(s) = -18310*s**2. Let a(b) = -3*b**2. What is a(w(z))? -1005768300*z**4 Let t(v) = -371*v**2 + v. Let n(l) = -3*l**2. Determine t(n(o)). -3339*o**4 - 3*o**2 Let s(x) = x**2. Let a(w) = 6*w + 0*w - 2*w - 2*w. Give a(s(i)). 2*i**2 Let v(w) = 2*w**2 + 3 - 3 - 3*w. Let t(z) = z**2 - z. Let h = 22 + -16. Let a(r) = h*t(r) - 2*v(r). Let n(s) = -s. Determine a(n(x)). 2*x**2 Let v(g) = -94*g**2. Let x(m) = 16*m**2. Calculate x(v(c)). 141376*c**4 Let s(a) = -1. Let q be (-2)/(-5) + 252/45. Let z(c) = 10*c - 6. Let v(h) = q*s(h) - z(h). Let i(k) = k**2. Determine i(v(j)). 100*j**2 Let u(d) = d - 2. Let g(y) = y**2. Calculate u(g(a)). a**2 - 2 Let x(i) = 68*i - 1. Let f(p) = -132*p. Give f(x(s)). -8976*s + 132 Let f(y) = -2*y**2 + 3*y**2 + y**2. Let z(n) = n**2 + n + 3. Let o(i) = -7*i**2 - 6*i - 18. Let k(l) = -o(l) - 6*z(l). What is k(f(d))? 4*d**4 Let l(d) = 2*d. Let j(i) = i + 7. Suppose 2*g = -g - 18. Let o(k) = -k - 6. Let x(m) = g*j(m) - 7*o(m). Calculate x(l(q)). 2*q Let b(i) = 3*i. Let l(w) = 4. Let c(u) = -u**2 - 3. Let t(o) = -4*c(o) - 3*l(o). Determine t(b(q)). 36*q**2 Let x(f) = 6*f**2. Let a(y) be the third derivative of -y**8/20160 - y**5/20 + y**2. Let d(r) be the third derivative of a(r). Determine x(d(z)). 6*z**4 Let p(r) = -830*r**2. Let k(b) = b**2. Give p(k(x)). -830*x**4 Let v(c) = 6*c. Let g(l) = -8*l + 6. Determine g(v(u)). -48*u + 6 Let a(u) = -2*u**2. Let j(y) = -3*y**2 + y - 3. Calculate j(a(c)). -12*c**4 - 2*c**2 - 3 Let n(x) = -4*x + 2. Let c(v) = -5*v + 3. Let w(r) = 2*c(r) - 3*n(r). Let z(s) = 9*s - 7. Let h(m) = -m + 1. Let k(j) = -14*h(j) - 2*z(j). What is w(k(o))? -8*o Let k(g) = 365*g**2 + 7*g. Let p(a) = -a**2. What is k(p(b))? 365*b**4 - 7*b**2 Let k(l) be the first derivative of l**2 - 1. Let v(r) = -r**2. What is v(k(m))? -4*m**2 Let u(r) = -6*r + 1. Let t(h) = 2*h**2 + 246*h. What is u(t(v))? -12*v**2 - 1476*v + 1 Let z(u) = 5*u. Let g(k) = 3*k**2 - 150*k. Calculate g(z(o)). 75*o**2 - 750*o Let p(g) = 439*g**2. Let m(r) = 8*r**2. What is m(p(d))? 1541768*d**4 Let x = 6 + -4. Let n(o) be the first derivative of -1 - o**2 + 0*o**2 + 0*o**x. Let s(m) = 4*m. Determine s(n(u)). -8*u Let z(s) = -2*s. Let g(y) = 3*y**2 + 6*y. Calculate z(g(i)). -6*i**2 - 12*i Let u(m) = 2*m. Let d(p) be the third derivative of p**5/12 + 9*p**2. Calculate d(u(o)). 20*o**2 Let w(t) = -2*t. Let n(g) = -70*g**2. Determine n(w(u)). -280*u**2 Let u(n) = -9*n + 6. Let g(c) = c - 1. Let t(s) = -6*g(s) - u(s). Let z(p) = 4*p**2. Calculate z(t(f)). 36*f**2 Let c(a) = -a + 83 - 83 - a. Let t(p) = 0*p + 7*p + p. Determine t(c(b)). -16*b Let h(w) = 9*w. Let n(d) = -d**2. What is h(n(a))? -9*a**2 Let i(w) = -4*w**2. Let j(k) = -32*k**2 - 4*k. Give j(i(o)). -512*o**4 + 16*o**2 Let d(n) = -2*n. Let p = 1 + 0. Let i = p + 1. Let g(j) = -2*j**i + j**2 + 3*j**2. Determine g(d(m)). 8*m**2 Let n(f) = 2*f**2 + 3*f. Let h(o) = 3 - 5*o + 3*o - 3 - 3*o**2. Let u(c) = 3*h(c) + 2*n(c). Let l(v) = v. Determine u(l(r)). -5*r**2 Let g(b) = 2*b. Let h(x) be the second derivative of x**3/6 - 16*x - 3. Calculate g(h(p)). 2*p Let t(h) = -2*h. Let b(q) be the second derivative of -q**3/6 - q. Give b(t(l)). 2*l Let i(r) = 3*r. Let p(d) be the first derivative of -10*d**2 - 3 - 3*d**2 + 14*d**2. Give i(p(t)). 6*t Let j = 33 - 25. Let d(s) = s - 6 - 2 + j. Let x(y) = 25*y**2. Determine d(x(b)). 25*b**2 Let f(z) = -2*z**2. Let u(m) = m + 1. Let y(q) = 6*q + 5. Let d be 27/33 - (-6)/33. Let c(b) = d*y(b) - 5*u(b). Calculate f(c(t)). -2*t**2 Let s(l) = l - 2*l - 2*l. Let a(y) = 3 - 2 + y**2 - 1. What is a(s(p))? 9*p**2 Let z(x) = x. Let r(q) = 3*q**2 - 4. Let o(i) = 4*i**2 - 3. Let y(d) = -4*o(d) + 3*r(d). Determine y(z(a)). -7*a**2 Let w(g) = -3*g**2 + 2*g**2 + 3*g**2. Let y(n) = -n**2
{ "pile_set_name": "DM Mathematics" }
of 23? False Let r(z) = -2*z - 3 - 3 + 0*z + 7. Is 2 a factor of r(-5)? False Let z(p) = 4*p**2 + 4*p + 1. Let i(y) = 11*y**2 + 11*y + 4. Let m(n) = 3*i(n) - 8*z(n). Suppose -2*l - 5*s = -26, -3*l + s = l - 8. Is 8 a factor of m(l)? True Is 10 a factor of 13 + 3 + (-3 - 0)? False Suppose -2*l + 0*l + 22 = -5*o, 5*o + 2*l + 18 = 0. Let n = o - -2. Does 5 divide (-4 - n) + (-1 - -9)? False Let d = -3 - -1. Let l be ((-1)/d)/((-6)/(-1224)). Suppose 2*v - 6*v + n + l = 0, 126 = 5*v - 2*n. Does 11 divide v? False Let b(u) = -u**2 - 15*u - 20. Is b(-10) a multiple of 3? True Let g = -6 - -12. Suppose g*v - 2*v = 0. Suppose v = 5*k - 5*n - 305, k - 49 = -3*n + 4. Is 20 a factor of k? False Suppose 83 - 335 = -4*y. Is 10 a factor of y? False Suppose -5*u - 3*j = 2*j - 35, u + 2*j = 8. Suppose s - u = -1. Is 2 a factor of s? False Let n = 7 + -5. Suppose h = -4*x - 2, -n*h - x = -5 - 5. Is h a multiple of 6? True Does 20 divide 7/((-56)/(-1756)) + (-1)/(-2)? True Let z be 0 - 1*-6 - 0. Does 8 divide (32/z)/((-3)/(-9))? True Suppose 40 = 3*w + r, 3*r + 24 = 2*w + w. Is w a multiple of 9? False Let c(j) = j + 4. Let k be c(-11). Let x = k - -13. Is 3 a factor of x? True Suppose 555 = 4*l - 5*o, 6*o = l + o - 150. Is l a multiple of 33? False Let i = -6 - -20. Is 3 a factor of i? False Does 8 divide (-2 + 4)*64/4? True Let v = -7 + 12. Suppose 0 = 5*t - 5*s - 135, -v*s + 4 = t + 1. Is t a multiple of 23? True Let c be (-4 + -6)*(-6)/(-4). Does 4 divide (c/4)/((-1)/4)? False Let i = 95 - 35. Does 15 divide i? True Let p = -54 + 120. Suppose -t - t = -p. Is t a multiple of 10? False Let c(h) be the third derivative of h**4/24 - 2*h**3/3 + 2*h**2. Let f be c(7). Let j = f + -1. Is j even? True Suppose 0 = -4*m - 9 + 49. Let h(v) = 2 - m*v - 1 - 7. Does 22 divide h(-5)? True Suppose 0 = -4*z + 3*g + 29, z + 0*g - 5 = 3*g. Is z a multiple of 3? False Let k(g) = g**2 - 10*g - 4. Let w be k(8). Is 20 a factor of ((-44)/8 - -3)*w? False Suppose 2*h - 4*b = 110, -130 = -4*h + h - b. Is h a multiple of 28? False Suppose -5*b + 10 = 0, -z + 8 = 4*b - 3. Is (1/2)/(z/84) a multiple of 3? False Let z = 21 - -2. Is z a multiple of 13? False Let x = -4 + 2. Let h be (1 - x/(-1)) + 1. Suppose -2*t + 5*t + 5*r - 54 = h, -5*t + 124 = -3*r. Is t a multiple of 11? False Let n(b) = b**2 - 5*b - 1. Is 21 a factor of n(11)? False Let a be -3 + (-3 + -2)*-1. Suppose a*k - 232 = -2*k. Is 20 a factor of k? False Suppose 4*c + 0*c = 3*u + 6, 2*u - 4*c + 8 = 0. Let d(i) = 4*i**2 + 1. Is 6 a factor of d(u)? False Let c be (0 + 4)*-1*1. Let p = c - -9. Is 4 a factor of p? False Suppose 2*l = -w + 8, -3*l - l + 16 = 5*w. Is l even? True Let s = -4 - -14. Is s a multiple of 2? True Does 14 divide 4 + -2 - (-72 + -3)? False Suppose 15 = a - 4*a. Is 11 a factor of 55*1*(-2)/a? True Is 27 a factor of 1 + 10/5 + 132? True Let d(r) be the first derivative of -r**3/3 - 4*r**2 - 5*r - 5. Is d(-4) a multiple of 4? False Suppose -2*y - 5 + 21 = -4*a, -y = 3*a - 18. Is 4 a factor of y? True Is 17 + -3 + -2 + 2 a multiple of 7? True Let j(l) = -2*l - 4*l + 2 + 3*l. Let a(o) = -o + 1. Let m(c) = 4*a(c) - 2*j(c). Is 15 a factor of m(10)? False Let u = -64 - -142. Is 39 a factor of u? True Let p = 4 + 82. Is p a multiple of 60? False Let q(m) = 9*m + 2. Let z(g) = g**3 - 5*g**2 + g. Let u be z(5). Let k = u + -2. Does 10 divide q(k)? False Let y(j) = -2*j**3 + 3*j**2 - 4. Is y(-2) a multiple of 10? False Let n(z) = -3*z**3 + z**2 + 4*z - 3. Let s be n(2). Let o be ((-10)/s)/((-2)/(-6)). Suppose -w + o*g = -9 - 19, 3*w = 5*g + 84. Is w a multiple of 14? True Let d = -308 - -554. Suppose -4*z + h = -90 - 153, 2*h = 4*z - d. Is 30 a factor of z? True Let y = 7 - 6. Suppose 7 = -v + 2*j, -v - 5 = -j - y. Is 13 a factor of 14 + (v - -3) - 3? True Let c = -24 - -35. Is 10 a factor of c? False Suppose 17 = 4*u - 39. Is 3 a factor of u? False Suppose h - 510 = -2*h. Let x = h - 110. Is x a multiple of 20? True Suppose -6*z + 95 = -691. Does 22 divide z? False Let z(c) be the third derivative of c**4/12 - 2*c**3/3 - 2*c**2. Let v be z(3). Is (3/v)/(6/32) a multiple of 8? True Suppose -a - 66 = -2*w, 3*w = -4*a + 71 + 28. Is w a multiple of 11? True Let g(r) = -r + 6. Let o be (-2)/(-7) - (-80)/14. Let v be g(o). Let j(x) = -x + 16. Does 7 divide j(v)? False Let o = 138 + -38. Is 20 a factor of o? True Let l(d) = 5*d**3 + 0 + d - 23*d**3 + d**2 - 1. Let g be l(1). Does 5 divide 4/(-3 + g/(-5))? True Suppose -6*g = 15 - 57. Let s(o) = o. Let f be s(3). Suppose 52 = g*q - f*q. Is q a multiple of 7? False Suppose -a + 4 - 1 = 0. Suppose a = 2*q - j - 1, 3*j - 12 = 0. Suppose y - q*n = 38, -4*n + 60 = 2*y - 8*n. Is y a multiple of 11? True Suppose 3*o + 102 = 2*t + o, -3*o - 6 = 0. Does 17 divide t? False Let o be 4*1*3/(-6). Suppose 5*s = -2*w + 170, -3*s - 17 - 79 = -w. Does 12 divide o/5*w/(-2)? False Suppose -179 = -s - 3*o, 0 = 3*o - 8*o + 10. Is 41 a factor of s? False Suppose l + 49 = 2*q + 4*l, 4*l = -3*q + 71. Suppose -2*y + q = 3*i - 7*y, -y - 37 = -3*i. Is i a multiple of 14? True Suppose -11*o + 471 = -8*o. Does 12 divide o? False Let p(o) be the second derivative of o**5/20 - 11*o**4/12 + o**3/2 - o**2/2 - 3*o. Does 16 divide p(11)? True Let s(w) = w**2 - 12*w - 1. Let x(f) = -f**2 + 13*f. Let o(m) = 5*s(m) + 4*x(m). Let j be o(9). Let a = -1 + j. Does 2 divide a? False Let j(i) = 21*i + 5. Let z(n) = -11*n - 2. Let m(d) = 3*j(d) + 5*z(d). Let w be m(5). Suppose 0 + w = 3*s. Does 15 divide s? True Let p(j) = 16*j**2. Is p(1) a multiple of 8? True Let b = -33 - -33. Suppose 4*n = d - 13, -2*d - n = -5*n - 18. Suppose d*h + 5 = b, -20 = -2*s + 5*h - 3*h. Is 9 a factor of s? True Let f = -157 + 283. Is f a multiple of 18? True Let v(s) = 2*s - 2. Let g be v(3). Suppose 5*l = g*x + 33, 4*l + l + 2*x = 21. Is l a multiple of 5? True Suppose -3*a - 8 = -k + 15, -k - 1 = 5*a. Does 7 divide k? True Let h be (-6)/(-3)*1/(-2). Is 12 a factor of (-15)/h + 3*-1? True Suppose 0*t - t = 0. Let a = 3 - 1. Suppose 3*y - a - 7 = t. Is y a multiple of 3? True Suppose 7*l - 31 = 6*l. Is 31 a factor of l? True Let u(x) be the third derivative of -x**8/20160 + x**7/360 - 13*x**6/720 - x**5/30 + 3*x**2. Let n(t) be the third derivative of u(t). Does 8 divide n(11)? False Let r = 90 + -53. Is 17 a factor of r? False Let h be (3/1 + -2)*-348. Does 24 divide h/(-5) - (-4)/10? False Let s(k) = -2*k - 8. Suppose 4*j - 43 = 4*d + 1, -2*d - 2*j - 6 = 0. Let g be s(d). Let v = g - 3. Is v a multiple of 3? True Suppose d - 139 = -2*z, -z + d = -2*z + 70. Is 10 a factor of z? False Let k(a) = a**3 - 5*a**2 - 6*a + 11. Does 3 divide k(6)? False Let g(u) be the second derivative of -u**4/12 + u**3/6 + 5*u**2 - 5*u. Is g(0) a multiple of 6? False Let f = 5 - -22. Suppose 0 = -2*c + f + 7. Does 19 divide 0 + c*(5 + -2)? False Let t be (7/7)/(2/(-4)). Is 1/((6/(-147))/t) a multiple of 13? False Does 8 divide (64 - -1)*(-1)/(-1)? False Let m(u) = u**3 - 12*u**2 + 13*u - 9. Is 13 a factor of m(11)? True Let a be -1 - -3 - -7 - -3. Suppose -2*u = -a - 24. Is u a multiple of 18? True Suppose 0 = -2*s + 4*p - p + 80, -4*s + 5*p + 164 = 0. Is s a multiple of 23? True Let m be 40 + (3 - 0) + -6. Let k = m + -20. Is k a multiple of 11? False Suppose i + 2*i - 3 = 0. Let p(y) = 14*y - 2. Does 12 divide p(i)? True Suppose q - 3 = 6. Does 8 divide q? False Suppose 0 = -4*o + 8. Suppose 0 = -o*v + 7 + 13. Does 6 divide (-2)/(-5) - (-106)/v? False Let j = 200 - 92. Is j a multiple of 9? True Let q = 17 + -17. Suppose -4*c - 34 = -3*n, -n - 4*c - c + 24 = q. Is 7 a factor of n? True Let g(l) = -6 + l + 4*l + 3*l**2 + 0*l**2. Let f(p) = -p**3 + 3. Let n be f(2). Is g(n) a multiple of 15? False Suppose 0 = 7*h - 3*h. Suppose 3*f + f - 132 = h. Is f a multiple of 11? True Let y = 90 + -15. Suppose -5*s + y = -0*s. Is 9 a factor of s? False Let n(t) = t**3 - t**2 - t + 23. Is 14 a factor of n(0)? False Suppose 5*h = -2*t + 380, -5*t - 950 = -10*t + h. Is t a multiple of 19? True Let a = 104 + -56. Does 24 divide a? True Let p(g) = 10*g**2 + 3*g + 3. Is p(-2) a multiple of 11? False Let w be 0 + -1 - (-19 - -18). Does 5 divide -11*4/(-4) + w? False Suppose -z + 8*z = 238. Is z a multiple of 34? True Let a be (-7)/5 - 4/(-10). Let n(p) = 4*p + 1. Let m(
{ "pile_set_name": "DM Mathematics" }
- 0. Suppose -4*a + 70 = -u, 6 - 2 = -d*u. Does 12 divide a? False Let f(b) = -2*b + 6. Let w be f(4). Let p be (0 - 0)*w/4. Suppose 3 = o - p*o - 4*u, -4*o + 3*u = -38. Is o a multiple of 11? True Let y(w) = -4 - 4*w + 2*w + w + 10 - 3*w**2 + w**3. Is 17 a factor of y(5)? True Let t = -6 - -7. Suppose 0*p = -p - t, 3*p + 30 = w. Suppose -w = -2*q + 33. Is 15 a factor of q? True Suppose 0 = -s + 4, v + s - 52 = -0*v. Let r = -23 + v. Is r a multiple of 5? True Let r be -1*2*(-4 + -54). Suppose 0 = -5*u + 3*z - z + 122, -5*u - 4*z = -r. Is u a multiple of 12? True Let w = 13 + 17. Is w a multiple of 9? False Let k be 2/(-3)*(-12)/(-2). Let u = 11 + k. Is u a multiple of 5? False Suppose 2*g - 57 = 21. Does 7 divide g? False Let l(m) = -m - 20. Let u be l(0). Is 12 a factor of u/25*15*-2? True Suppose 4*v = 2*j + 126, -93 - 12 = -4*v - 5*j. Is v a multiple of 4? False Does 3 divide (0*2/4 - 2) + 23? True Suppose -2*a = 3*m - 147, 2*m = -0*a + 5*a + 117. Is m a multiple of 17? True Suppose 2*t - 36 = -u - 2*u, -5*t = -4*u - 44. Does 9 divide t? False Suppose -26 = 3*k - 4*h, -5*k + 5*h = 13 + 22. Let i(g) = 4*g**2 - 2. Is 4 a factor of i(k)? False Suppose -3*n - 15 = 0, 2 = -t + 2*t + 2*n. Is 4 a factor of t? True Let w(o) = -15*o - 15. Let q be w(-11). Suppose -3*f - 3*k + q = 0, 101 = 2*f - 0*f + 3*k. Is f a multiple of 24? False Let p be 3 - (2 + -1) - -12. Suppose -5*a + 14 = 2*b, 5*a - 3*b + p = 43. Is a a multiple of 2? True Suppose w = -0*w - 4. Let h = w - -4. Suppose 3*p = -h*p + 15. Is p a multiple of 2? False Suppose -r = 6*r - 252. Suppose 0 = -4*v + r. Is 9 a factor of v? True Suppose 3*g + y = 4*g - 144, 8 = -2*y. Is g a multiple of 26? False Let y(j) = -2*j**3 + 2*j**2 - 3*j + 1. Let m be y(-5). Suppose -g + m = 5*s - 0*g, -5*s + 319 = 4*g. Is s a multiple of 21? True Let l(n) = 7*n**2 + 2*n + 1. Suppose -5 = 3*m + 2*m. Is l(m) a multiple of 5? False Let w(g) = -3*g**2 + 9*g + 4. Let h(o) = -o**2 + o + 1. Let a(s) = -4*h(s) + w(s). Does 18 divide a(-9)? True Suppose t = 2 + 1, -3*u + 138 = -4*t. Suppose -c + u = 4*c. Is c a multiple of 3? False Let y be (1/(-2))/((-3)/(-114)). Let j = 37 + y. Does 10 divide j? False Let g(n) = 6*n + 1. Let i(z) = -z**3 - 3*z**2 + z + 4. Let o be i(-3). Is 7 a factor of g(o)? True Suppose 0 = 4*x - 3*g - 12, 3*x - 4*g = -2*x + 16. Let h(u) = -u**3 - u**2 - u + 20. Does 6 divide h(x)? False Let o = -73 + 139. Let j = -16 + o. Suppose -2*q = -7*q + j. Is 10 a factor of q? True Let c be 4/(-10) - (-272)/5. Suppose -3*u = 2*m - c, 4*u = 2*m + 27 + 45. Is u a multiple of 9? True Let y be 26/6 + 3/(-9). Suppose -17 = -2*j - 4*t - 1, -y*t = -12. Is j a multiple of 2? True Suppose -b + 2*p = -88, -b + 21 = 5*p - 95. Does 13 divide 10/(4*4/b)? False Let a = -5 - 8. Let m = a - -34. Suppose -2*g = -t - m, 6*t = 3*t - 3. Is g a multiple of 4? False Let m(d) = d**2 - 21*d - 28. Does 3 divide m(25)? True Suppose p - 3 = -0. Let m = p + -2. Does 13 divide 1*((m - -12) + 0)? True Suppose 4*l - 12 = 2*l. Suppose -3*d - 15 = -2*x - l*d, 3*d - 24 = -5*x. Suppose m = 5*v - 14, 5*m + x*v = 3*m + 37. Is m a multiple of 11? True Suppose 56 = 4*r - 4*u, -6 = -r - 3*u - 0*u. Is 6 a factor of r? True Let z be (-2)/((-6)/(-3) + 0). Is 18 a factor of 2*z + 41 - 0? False Let x(j) = j**3 - 5*j**2 + 5*j + 4. Does 29 divide x(5)? True Let b(t) = t**2 - t + 1. Let n be b(2). Suppose -n*j + 7 = -23. Is j a multiple of 6? False Let p(h) = -10*h - 28. Is 27 a factor of p(-14)? False Suppose 13 = q + 3*v, 2*q + 9 = 4*v - 3*v. Is q*5/(5/(-3)) a multiple of 3? True Let o = 10 - 7. Suppose o*k + 1 = 16. Is k a multiple of 5? True Suppose 3*o - 28 = o. Is o a multiple of 3? False Suppose 4*v = -5*l + 459 - 108, 5*v = 3*l + 411. Does 21 divide v? True Let z(p) = -p + 32. Suppose 0 = -f + 3*b + 10, -6*f + 2*f + 3*b = -13. Let j = f - 1. Is z(j) a multiple of 17? False Let u = 83 + -57. Does 3 divide u? False Let r be (-8)/(-2) + -2 + 0. Suppose -5*l - 2 = -x, 0 = -r*x + 3*l + l - 20. Let s = x - -32. Is 14 a factor of s? True Let d(n) = -9*n - 3. Suppose 3*t - 2*u + 15 = 0, -3*u + 2 + 7 = 0. Is 12 a factor of d(t)? True Suppose -2*y + 4*i = 0, -5*i - 56 = 3*y - 23. Let l be 2*(-2 - 57/y). Is 2 a factor of (-50)/l*6/(-5)? True Let a(h) be the third derivative of h**5/30 + h**4/4 - 3*h**2. Is 11 a factor of a(-5)? False Let i = -2 + 5. Suppose i*m = 2*m + 8. Suppose -4*j - 3*c = -56, 3*c = m + 4. Is 11 a factor of j? True Let h(o) = 0 + 0*o**3 + 9*o**2 - 3 + 0*o**3 + o**3 - 2*o. Is 11 a factor of h(-9)? False Let c be (-4)/(0 + 0 - -1). Is (-96)/c + 2 + -1 a multiple of 9? False Let v(o) = o**2 + 5*o + 3. Let u be v(-5). Suppose -12 = -2*n + d, -u*n + 4*d = -8 - 15. Suppose 80 = 5*q + 5*s, s + 52 = n*q - s. Does 12 divide q? True Suppose 3*n - 5 = 1. Is 21 a factor of 65 + n/2 - -1? False Suppose p + 15 = 5*i + 3*p, -6 = -2*i + 4*p. Suppose -i*b + 0 = -9. Suppose j + 6 = b*j. Is j a multiple of 3? True Suppose 2*m - 149 = 45. Suppose -4*r = 2*f - 142, -3*f + 50 = 4*r - m. Does 8 divide r? False Suppose -3*l = -53 - 25. Suppose l = -g - 9. Let z = g + 101. Does 17 divide z? False Let z(v) = -48*v**2 - 4*v - 1. Let l(p) = -49*p**2 - 5*p - 1. Let q(d) = 3*l(d) - 4*z(d). Does 13 divide q(-1)? False Suppose 4*n = -5*k + 239 - 15, n - 4*k = 56. Is 8 a factor of n? True Let r = -2 - -5. Suppose -5*q + 0*s - s = -298, -5*q - r*s = -294. Suppose -4*o - 3*i - 16 = -75, -3*i - q = -3*o. Is o a multiple of 17? True Is (0 - 1)/((-22)/1650) a multiple of 15? True Let l(q) be the second derivative of -1/3*q**3 + 0 + 3*q + 2*q**2. Is l(-7) a multiple of 18? True Suppose 23 = d + 3*w + 2*w, 4*d - 32 = -5*w. Suppose t + d*t = -4*s, 6 = 2*s - t. Is 2 a factor of s? True Let u be -20*(3 - (-14)/(-4)). Suppose -m = 2*c - 18 - u, 5*m - 36 = -2*c. Let f = c - -11. Is 24 a factor of f? True Let a(p) = p**3 - p**2 + p + 5. Let y be (14/3)/((-6)/(-9)). Let d be 2/y + 2/(-7). Does 2 divide a(d)? False Let d(i) = -i**3 + 15*i**2 - 14*i + 24. Is d(14) a multiple of 24? True Let y = -78 - -167. Is 8 a factor of y? False Let i(m) = -m**2 - 4*m - 5. Let r be i(-3). Is 13 a factor of -2 - (-63 - r - 3)? False Let m(z) = 12*z**2 - 5*z + 5. Does 12 divide m(1)? True Suppose w + 51 = 4*w. Let m(l) = -l**3 + 8*l**2 - 6*l + 8. Let v be m(7). Let y = v + w. Is 16 a factor of y? True Suppose 0*x = x. Suppose x = 5*b + 2*l - 118, -2*b - l = b - 71. Is 12 a factor of b? True Let s = -42 + 21. Is (-1)/(45/s - -2) a multiple of 5? False Let p(m) = m + 12. Let k be p(-13). Is 12 a factor of (-1)/(-1) - (-10 + k)? True Let k = -125 - -195. Suppose -b = 0, -2*q - 3*q = b - k. Is q a multiple of 7? True Suppose 0 = -5*i + 3*i + 64. Suppose i = j + g, 2*j - g + 6*g - 73 = 0. Is 6 a factor of j? False Let p = 6 + -8. Is 19 a factor of p*(1*-16 + -3)? True Let r(t) = -27*t + 10. Does 13 divide r(-8)? False Let i(p) = 32*p + 71. Is 59 a factor of i(7)? True Suppose -3*b = -3*f + 441, -279 = -2*f - 0*f - 3*b. Is f a multiple of 24? True Suppose -63 = -2*n + n. Is n a multiple of 10? False Let n be (-3)/9*0 + 4. Suppose 3*x = -n*v + 140, -3*x - 28 = -2*v + 42. Does 11 divide v? False Suppose g = -2*g + 15. Suppose 0 = -g*w - 8 + 63. Is w a multiple of 7? False Is 21 a factor of (143 + -1)*(1 + 0/3)? False Suppose -5*x - 18 = -48. Suppose -x - 3 = -3*y. Is y even? False Suppose -5*j = -763 - 197. Is 12 a factor of j? True Let x = 36 - 23. Does 4 divide x? False Let v(m) = m**2. Let x be v(0). Suppose -4*j - c + 0*c + 319 = 0, -5*j - c + 399 = x. Suppose 39 = 2*u - 5*n, -40 - j = -5*u + 5*n. Does 14 divide u? False Suppose 0 = -2*k + 3*t + 176, -k + 14 = -t - 76. Is k a multiple of 32? False Suppose 4*o = -5*v + 193, -2*v = 2*o + 3*o - 237. Does 15 divide o? False Suppose 0*g - 2*g - 2 = 0. Let t(r) = -5*r**3 + r**2 + r + 1. Does 6 divide t(g)? True Suppose 66 = 3*x - 0*x. Is 6 a factor of x? False Let y(q) = -12*q**2 - 5*q + 5. Let f(h) = -12*h**2 - 4*h + 4. Let c(n) = 4*f(n) - 3*y(n). Let d be c(1). Let s = d + 25. Does 13 divide s? True Suppose l - 116 = -5*o, l = -2*o - 12 + 56. Is o a multiple of 8? True Suppose 0 = 2*w + 75 - 241. Does 18 divide w? False Let y(g) = -14*g + 1. Let j = -5 - -4. Does 4 divide y(j)? False Let l(j) = 210*j**2 + 7*j - 5. Is 29 a factor of l(1)? False Let w be
{ "pile_set_name": "DM Mathematics" }
*l - 258. Let c be n(-14). Is 1437 <= c? False Suppose d = 5*m - 116, -5*m + 10*m - 128 = -2*d. Suppose -5*t + 5*z - 225 = 0, 0*t + 135 = -3*t - 5*z. Let h = 67 + t. Which is smaller: m or h? h Let b = 7/76 + -1573/15428. Suppose 15*k - 294 = -6*k. Suppose -38*c - k - 24 = 0. Which is greater: c or b? b Let g = -27 + 29. Suppose 0 = -r + 17 + g. Is 2 < r? True Suppose -1681 + 481 = 24*a. Let y be (-680)/a*2/(-8). Is -3 > y? True Let i = 5205 + -6712. Do -1506 and i have the same value? False Suppose 5*u - 4*n = -26, -3*u + 0 + 10 = 4*n. Let h(w) = -11*w - 12. Let g be h(u). Suppose 52 = -3*k + g. Is -14 smaller than k? False Suppose 17*p - 16*p + 4*k - 107 = 0, -214 = -2*p + 4*k. Let s = 106 - p. Is 3/247 < s? False Let j be (-2)/(-6) - 94/286. Let x = -96 - -95. Do x and j have different values? True Let v = -136/25 - -263/200. Suppose 5*o = 2*l - 22, 0*l - 6 = -2*l + o. Does l = v? False Let v be (-10)/55 - 1976/385. Let o = v + -2/5. Suppose 1180 = 9*x + 1225. Is o less than x? True Let i be 5/(-7) + (1440/70)/(-16). Is 7.144 at least as big as i? True Let n be -9*(-14)/945 + (-136)/120. Is -1/2222 at least n? True Let i be ((-294)/(-76))/(4/32). Let q = i - 101762/3287. Suppose -h + 5*h + h = 0. Is h != q? True Let m be 14632/(-6) - 10/30. Let a be -1*m/6 - 6/(-4). Which is smaller: 409 or a? a Let v = -19 + 81. Suppose 4*z + w - 96 = 0, 5*z - 58 = -5*w + v. Suppose -3*a - 16 = -a - 5*j, -z = 3*a - 4*j. Is -10 greater than a? False Let j = 19771 + -18088. Which is greater: j or 5045/3? j Let w = -1873 - -1873. Let p be 2 + (18/105 - 2/(-5)). Which is bigger: w or p? p Suppose -8*q = -1420 - 5540. Suppose -q = 35*h - 6*h. Let j(m) = m - 28. Let i be j(0). Which is greater: h or i? i Let n(m) = m**3 - 30*m**2 + 29*m + 155. Let c be n(29). Is c less than or equal to -5? False Suppose -b + 3*h = 2*b - 6087, 2*b - 4058 = -5*h. Suppose 17*c = b - 363. Are 99 and c non-equal? True Suppose 60*d + 71*d - 43492 = 0. Is 333 less than or equal to d? False Let j = -0.955 + -0.045. Which is greater: j or 185/19? 185/19 Suppose -41 = -r + 5*y, -10*r + 5*y = -6*r - 44. Which is smaller: -6/17251 or r? -6/17251 Let m(z) = z**3 - 17*z**2 + 33*z - 34. Let b be m(15). Suppose 42 + 58 = 5*f. Suppose 3*h = h + f. Which is bigger: b or h? b Let s = 5588 + -39114/7. Which is smaller: s or -3.56? -3.56 Let m be (-1 + 2)*2/(-2). Suppose 3*f + 15 = 3*z, 11*f - 8*f + 50 = -4*z. Which is greater: m or f? m Suppose -4*o + 2*o + 58 = 0. Let h(d) = -d + 22. Let k be h(10). Let g = 42 - k. Are g and o non-equal? True Let b = -1516 - -2829. Which is bigger: 1312 or b? b Let h be (-25900)/49 + (-24)/(-42). Which is greater: h or 1? 1 Let q(a) = 2*a**2 - 10*a + 2. Let r(h) = h**3 + 5*h**2 + 2*h - 3. Let x be r(-4). Let k be q(x). Let n = 5/94 - -811/658. Is k at most as big as n? False Let j(b) = b + 27. Let f be j(20). Let t = f - 85. Which is smaller: t or 0? t Let m be (-11 - (-1603)/147) + ((-7267)/2730)/(-43). Let s = 0 - 0. Is s smaller than m? False Let c be (502/(-10))/(478/11950). Are c and -10 equal? False Let z = 1300 - 1952. Let t = z + 651. Let y = 19.033 + -19. Which is bigger: t or y? y Let g = -716.1 + 807. Let v = 7.9 - g. Let a = 83.2 + v. Which is smaller: a or -0.01? -0.01 Let p = 50.5 - 50.51. Which is smaller: p or 174? p Let d be (8*2/40)/(2/20). Let o be 9/(-4) - d/(-16)*1. Let b be (-203)/(-14) + (-3)/o. Is 2/7 at least as big as b? False Let z(t) = 182*t**2 + 331*t + 1633. Let g be z(-5). Which is bigger: g or 4527? g Let s(d) = 7*d**3 + 4*d**2 - 18*d - 110. Let o be s(-6). Which is smaller: o or -1369? o Let i = 275 - -139. Let h = 403 - i. Do 2 and h have the same value? False Suppose -u - 2*h = 3*u + 8, -2*u = 3*h + 12. Suppose 4*k - 2 = 2*v, -19 + 84 = 5*v + 4*k. Let x be -13*(u + 3)/(v/3). Which is bigger: -15 or x? x Let n = -3334 + 3333.7416. Is n at least as big as 2? False Let x(y) = y**3 - 43*y**2 - 262*y + 2. Let j be x(39). Is j equal to -16301? False Suppose 0 = 324*d - 348*d - 1728. Which is greater: d or -285/4? -285/4 Let i(o) = -308*o - 5932. Let l be i(-19). Is l < -78? True Let v = -10620 - -10620.04. Which is smaller: v or 0.089? v Suppose 4*p + 0*p = 388. Let d be ((4/6 + -1)*-3)/((-186)/(-18042)). Is p < d? False Let i = 0.596 + 416.204. Let c = -417 + i. Which is bigger: 84 or c? 84 Suppose -3*u = -2*b - 5, b - 3*u + 1 = -9. Let x be b/(-71 + 11)*8/(-239). Is x bigger than 0? True Let o(w) = -1300*w - 1005. Let p be o(-3). Which is smaller: p or 2894? 2894 Let j = 13638 + -13639. Is j bigger than -1/6620? False Let o(z) = 7*z - 32. Let r be 10/(-2) - -9 - (-4 - -3). Let i be o(r). Which is bigger: i or 2? i Let d = 10866 + -271614/25. Which is bigger: 1/4 or d? d Suppose -w + 219 = 7*l, 12*l - 114 = 8*l + 5*w. Does 25 = l? False Suppose 16*f - 3 = 15*f - x, -3 = 5*f - x. Is 2/7239 less than or equal to f? False Let a = 11325.41 - 11325. Which is bigger: 21.1 or a? 21.1 Let u = 23 + -17. Suppose -2*v - 4*r = 0, 3*v = -r + u*r + 11. Let x = 1230 - 7363/6. Which is greater: x or v? x Let y be ((-456)/(-190))/((-6)/(-10)) - (-2 + 7). Which is smaller: -21/425 or y? y Suppose 17 - 141 = -l. Let w = -440 + 439.8. Do w and l have different values? True Let t = -22 - -40. Suppose -15*d + 6*d = -t. Suppose -o - d*u + 36 = -6*o, 0 = -3*o - 4*u - 32. Are -6 and o unequal? True Let p = 8890 - 52913/6. Let u = p - 717/10. Which is bigger: u or -2? u Let r = 6/31 + -169/713. Let q = 56 + -51. Suppose -1 = s, 0 = -q*v - s + 2*s - 4. Which is bigger: r or v? r Let d(q) = 19*q**2 + 9*q. Let z be d(1). Suppose 3*a + 30 - 2 = 2*y, 3*y = a + z. Suppose -3*s - 5*t + 14 + 20 = 0, -5*s + t = -10. Which is greater: y or s? y Let c be ((1656/294)/(-23))/(81/(-42)). Are c and -3 equal? False Suppose 576 = 19*o - 1476. Let b be 6/o*9*62. Let q be ((-8)/(-1))/((-2)/(-8)). Which is bigger: q or b? q Suppose -6*f = -4*k + 28190, -k + 9869 = 2*f + 2832. Is k at least as big as 7043? True Suppose -5*z + 0*a + 16 = -2*a, -2*a = 2*z - 12. Suppose 5*f - z*f = 3. Suppose l = l + f*l. Which is bigger: l or 4? 4 Let m = 1330 + -1872. Let h = 686 + m. Is h < 142? False Let f be (-61766)/13377 + (6 - (3 + -1)). Let b = -2/1029 - f. Let p = 1 + 1. Is p at least b? True Let x = -11923490553/21389 + 557459. Is x smaller than 0? True Suppose 0 = -5*a + 2*l + 19, 4*l + 146 - 113 = 5*a. Is a > 1/12376? True Suppose 8*u - 4*u + 108 = 0. Let h = -22 + 22. Suppose h = 2*d - 0 - 2. Is u != d? True Let t be ((-21)/(-49)*-1)/(0 + 9/6). Which is smaller: 0 or t? t Suppose 5*p + 1 = 2*y + 73, -5*p + 74 = -4*y. Suppose -8*d = -p*d + 264. Is d <= 46? True Let n = 92.5 - 92.6. Let o = 83 + -88.04. Let i = o + 0.04. Which is smaller: i or n? i Let d be (-3)/9*36/(-8). Let y = -96 + 96.07. Is d at least y? True Let c = 40 + -235/6. Let m be ((-2)/6)/(3/(-72)). Let o = m + -6. Which is smaller: o or c? c Let u = -22755/4 + 5727. Which is smaller: u or 38? 38 Suppose l = -l - 4. Let n be 4*(-4)/104 - -2*1211/(-4368). Is l < n? True Suppose -7*t - 1 = -22. Suppose -2*w = -5*w - t. Let b be (w/2)/(4/(-24)). Which is greater: -7 or b? b Suppose 2*v - 2337 = 3*b, -908*v + 912*v + 2*b - 4666 = 0. Which is smaller: v or 1169? v Let i = -8334 - -8325. Is i at most as big as 350? True Let m be (3 - (1 + 1))*0. Let s be 1 - m - (-116)/(-96). Let y = s + 61/408. Is 1 equal to y? False Let k be ((-16824)/(-39))/4 - (-12)/78. Is k != 109? True Suppose i = 0, 2*f - i - 18 = -5*i. Suppose 0 = -4*y + 51 + f. Suppose 5*z = -3*h + 2*h - 27, 5*h - 5*z + y = 0. Which is smaller: -8 or h? -8 Let i = -372 - -389. Suppose -y = 2*s + 2, 2*y + 3*y + i = -3*s. Which is greater: s or -3? s Let p = 1/67800 - -334519/303811800. Which is greater: 0 or p? p Suppose -5*j = -4*l + 644, -5*j - 640 = -0*l - 5*l. Which is greater: -129 or j? -129 Let u = -188 + 155. Let w = -15 - u. Which is smaller: 17 or w? 17 Let t = -24611/7 + 3483. Let w(y) = 7*y - 159. Let n be w(18). Is t less than n? False Suppose -122*t = -161*t. Do -5/792 and t have the same value? False Let w = 8972 - 8911. Let q(l) = -15*l**2. Let f be q(2). Let b = w + f. Which is smaller: -2.5 or b? -2.5 Suppose -r = -2*a - 390, -482 = -4*r + 3*a + 1063. Which is bigger: 1922/5 or r? 1922/5 Suppose 719*a + 389448 = 71*a. Let u be (1 - 41)/(3/45). Which
{ "pile_set_name": "DM Mathematics" }
3, -4? i Let p = 1178 + -1182. Which is the closest to p? (a) 0.4 (b) 2/7 (c) 1 (d) -5 d Let o = 2.249 + -2.249. What is the nearest to o in -2, 0.2, -1, -0.3? 0.2 Let r = -511.419 - -511. What is the nearest to 1 in r, 1, 0.3? 1 Let a = 1417 - 812. Let y = 605 - a. What is the closest to y in 2/5, 1/6, 59, -1? 1/6 Let s = -3030 - -3030.5. Let x = -2.93 + -0.07. Which is the nearest to s? (a) 0.1 (b) 2/15 (c) x b Let v = 1298 + -1297.5535. Let n = v - 0.0465. What is the closest to -2/5 in 1, 4, n? n Let y = 1.921 - 1.911. What is the closest to 12 in 0.04, y, 2/3? 2/3 Let n = -1838.8 - -1839. Let k = 3.14 - 3.14. Suppose 3*v - 15 = 3*u, -2*v = -u - 10 + 4. What is the nearest to n in u, -0.6, k? k Let k = -0.019 + 26.019. Let h = -60 + k. Let v = -32 - h. Which is the closest to -1/2? (a) v (b) 1/6 (c) 0 c Let b = -23066 - -23065. What is the nearest to 3 in -0.4, 11, -2, b? -0.4 Let j = 587 - 5287/9. Let h be ((-32)/(-80))/(12/(-10)). Let n be (1/4)/(25/(-40)). What is the nearest to n in h, -0.11, j? j Let i = 77 + -78.36. Let l = -5.36 - i. Let g be ((-11)/(-99))/((-2)/(-3)). Which is the nearest to -1/2? (a) g (b) l (c) 3/5 a Let c = 6677 + -6661. What is the nearest to c in -4, 4/7, 33? 4/7 Let h = -2100 + 2098. Which is the closest to h? (a) -0.2 (b) -1/3 (c) -22 (d) -10 b Let h(s) = -s**3 + 26*s**2 + 54*s + 55. Let a be h(28). What is the nearest to a in -0.1, -2, -3, -10? -0.1 Suppose -4*r = 4*w + 18 + 14, w - 3*r + 12 = 0. Let u be (w/(-81))/((-2)/(-6)). Let h = 0.6 + -2.6. Which is the nearest to 0.04? (a) h (b) -1 (c) u c Let z be 22/99 + (-299)/9. Let h = z - -33. Suppose -3*d = 3, -m = -4*d + 3 - 9. What is the closest to h in m, 1, 0.3? 0.3 Suppose 0 = -2*q + 3*q - 3. Let d = 2.843 + -5.843. What is the nearest to 0.3 in q, 1/7, d? 1/7 Let f(b) = b**2 + 11*b - 245. Let q be f(11). What is the nearest to 8 in 4, q, 2/3, -2? 4 Let d = 743.95342 - -0.04658. Which is the closest to 0.2? (a) -5 (b) d (c) 0 c Let u = -0.241 + 104.241. Let w = u + -104.83. Let t = w + 0.33. What is the closest to 1/2 in 4, 1, t? 1 Let x = -22843 + 22844. Which is the nearest to -0.1? (a) 3 (b) x (c) 5/8 (d) -23 c Let h = 0.0052 - -571.9948. Which is the nearest to 0.1? (a) 0.5 (b) 0.2 (c) h b Let s = 418 - 547. Let d = 127 + s. What is the closest to d in -4, 1/2, -3? -3 Let r = -3631 + 3631.02. What is the closest to -2 in -2/7, r, 2, -0.1? -2/7 Suppose -5*q = -3*n + 60, 527*q - 529*q - 19 = -n. Which is the closest to 15? (a) 0.4 (b) -3 (c) 1/3 (d) n d Let b = -3 + 6. Let n be 7/12*753/21. Let u = n + -127/6. What is the closest to -19 in b, u, -0.4? -0.4 Let z = 134 - 673/5. Suppose -27*u = 22*u + 245. Let f = -15.9 + 15.7. Which is the nearest to z? (a) f (b) u (c) -0.1 a Let o = -287.25 + 287. Let k = -0.75 - o. What is the nearest to 0 in k, 48, 4? k Suppose 100*g = 106*g + 30. Suppose 5*k + 2*j = -1 + 5, 0 = -2*k + 4*j + 16. Which is the nearest to 0.5? (a) k (b) g (c) 5 a Let p be (45/(-90))/((-2)/(-26)) + 7. Which is the nearest to p? (a) -217 (b) 1 (c) -1 (d) -4 b Let o = -2.86 - 0.64. Let t = -3.1 - o. What is the nearest to 3 in t, 0.3, -2/5? t Let r be ((81/6)/9)/(8181/1212). Let b = -1 - 0. What is the nearest to 0 in r, b, -5? r Let x = -32 + 31.7. Let v = -571 - -571. Which is the nearest to v? (a) 2/7 (b) -0.1 (c) x b Let z = 11221 + -56107/5. What is the nearest to z in -31, -11/3, -3? -3 Let n = 86 - 10. Let p = 73 - n. Let j = 34 + -38. Which is the nearest to j? (a) p (b) 6 (c) -0.1 a Let i = 2049 + -2036. Which is the closest to 2? (a) 0.2 (b) -0.3 (c) 2 (d) i c Let y be (-40)/84 - (-2)/6. Let t = -19060 + 19068. Let d = 7 - 6.5. Which is the closest to t? (a) d (b) -1/3 (c) y a Let p(y) = y**3 + 75*y**2 - 46*y + 2282. Let j be p(-76). What is the nearest to 0.05 in 4, j, -3, -0.7? -0.7 Let i = -3354 + 3353.98. Which is the nearest to i? (a) -1 (b) 0.06 (c) 1/5 (d) -0.5 b Let t = 0.02 + -90.52. Let d = t - -90. Let u = 1.96 - -0.04. Which is the closest to u? (a) 0 (b) d (c) 5 a Suppose 0 = o + 2*v - 0*v - 3, -4*v + 9 = 3*o. Suppose -2*n - 6 = -3*j, -o*n + 10*j = 12*j - 4. Which is the nearest to 0? (a) 1 (b) n (c) 0.2 b Let r = -0.193 + -129.807. Let k = -130.03 - r. Which is the closest to 0.1? (a) 5 (b) k (c) -1 b Let h = -680 - -3402/5. Which is the closest to h? (a) 1/2 (b) -2/57 (c) 0 a Let o = 2 + -5. Let n = -57543 + 57537. What is the closest to n in 0.5, 0.4, o? o Let y = -29 - -39. Let k = 12 - y. Suppose -5*o - l = -20, -3*l - 9 - 16 = -k*o. What is the closest to -0.1 in o, 3, 2? 2 Let s = -3300 + 3300.5. What is the closest to -2/7 in 9, 2/5, s, 2? 2/5 Let q = 2/11527 - -23048/34581. Let t = -0.06 - 0.94. What is the nearest to q in 1/16, t, 5? 1/16 Suppose 0*n = -7*n - 28. Let r be n/(-21)*(-51)/(-34). Let l be (-48)/(-56)*(-3 + 80/22). Which is the closest to -0.1? (a) -3 (b) l (c) r c Suppose 4*m - 12 = -w + m, -20 = 3*w - 5*m. Suppose 5*d + 4*z + 5 - 30 = w, -4*d - 2*z = -14. Which is the closest to d? (a) 0 (b) 1/2 (c) 0.4 b Let o be 6/((-150 + 15)/9). Which is the nearest to o? (a) -5 (b) 8/285 (c) -0.3 (d) -1/4 c Let u = 5781/8 - 63543/88. Which is the closest to -2/11? (a) -0.3 (b) u (c) -5 a Suppose 200 - 437 = -84*z + 183. Which is the nearest to 2/3? (a) z (b) 0.09 (c) 8.5 b Let u = 16454 - 16449. What is the closest to 2 in 46, -4, u, 4/3? 4/3 Let n = -240 - -250. Suppose -4*y - 16 = 3*t - 6*y, 4*t + 3*y = -n. Which is the nearest to 0.1? (a) t (b) -2.5 (c) -5 b Let q(s) = 3*s**2 + 68*s - 968. Let l be q(10). Which is the nearest to l? (a) 0 (b) -0.01 (c) -0.14 a Let u = 7504/3 - 15005/6. What is the nearest to -2/21 in -23.5, -3/5, u? -3/5 Let n = 1 - 8. Let x = 22366.3 + -22362.3. What is the closest to 0 in -3/8, x, 3, n? -3/8 Let n be 0/9 - (1 + -4). Let k be (-1)/(n/(-1))*-9. Let x be (-85)/(-90)*-3 - k. What is the closest to -2 in -2, x, 3? -2 Let o = -7.3 + 5.13. Let x = o + 6.17. What is the closest to -2/5 in 5, 0, x? 0 Let g = 37 - 43. Let k = 0.1489 + -0.0489. What is the nearest to -1 in k, 1/5, g? k Suppose 5*z + 25 + 30 = -5*d, -d - 5*z - 11 = 0. Let t be (1/d)/(24/(-6)). What is the nearest to 0.1 in -0.1, -2, t? t Suppose 585*u = 701*u + 2784. What is the nearest to 1 in 0.1, 2/5, u, 2/11? 2/5 Let f = 7625 - 7631. What is the nearest to 0 in -7, -2, 4, f? -2 Let r = -7162 - -7163. Which is the closest to r? (a) -0.0194 (b) 2/3 (c) 0 b Let k = 3339/4 - 851. Let n = 329/20 + k. Which is the nearest to 1.5? (a) n (b) 2/5 (c) 0.3 b Let x = 0.4757 + -0.1757. What is the nearest to x in 47, 3/2, -0.3? -0.3 Let m = 0.09808 - 0.19808. Which is the closest to -2/5? (a) -0.3 (b) 8/7 (c) m (d) 0 a Suppose 0 = -3*y + 784 - 1006. Let r = 100 - 172. Let a = y - r. What is the closest to -2/17 in a, 2, 0? 0 Let j = -0.1 - -0.1. Let r be (38/(-171))/((-42)/945). What is the closest to j in r, -4, 6? -4 Suppose -3*q + 2 = -q. Let c = 2108 + -2108. Suppose c = -7*s - u - 4*u - 11, 3*s = 2*u + 16. What is the nearest to -4 in s, -3, q? -3 Suppose -2*z + 2*w = 32, -5*z - 2*w - 32 - 13 = 0. Let j = -25219 + 126097/5. What is the nearest to -1 in z, j, -2? -2 Let t = 0.0756 - -3.9244. Which is the closest to t? (a) -2 (b) -0.16 (c) -0.7 b Let h(x) = 2*x**3 + 14*x**2 + x + 21. Let l be h(-7). Let g be 1/(l/(-9))*8/(-12). Let n = -6 + 6.4. What is the nearest to -1/3 in g, 3/5, n? n Let f = -52 + 45.7. Let r = f + 6. Let q = -7660/7 + 1094. Which is the nearest to r? (a) -1 (b) q (c) 4/9 b Let p = 1164.2 + -1160.2. Suppose -5*f + 0*f = 0. Which is the nearest to -2/5? (a) -1 (b) p (c) 0.4 (d) f d Let t = 30520 - 30516. What is the closest to 1 in t, -0.6, 0.2, 1? 1 Let d(g) = 5*g**2 + 77*g - 19. Let q be d(-16). Let t(x) = 6*x**2 - 176*x + 60. Let w be t(q). Which is the nearest to 1/2? (a) -5 (b) w (c) 3 b Let q = 0.395 + -0.295. Let n = -76 + 79. Which is the closest to -1? (a) 5 (b) n (c) q c Suppose -2769 = 157*m + 25*m - 2405. Let w = -3 + 2. Let g be ((-8)/(-6))/4*-1. Which is the nearest to w? (a) g (b) 4/5 (c) m a Let s be (35 - 3)*(-1)/(-2). Let n = -31.771 + 31.871. Which is the nearest to n? (a) -0.1 (b) s (c) -1/2 a Let p be 3 + (7 - (-7 - -20)). Let g = -295 - -300. Wha
{ "pile_set_name": "DM Mathematics" }
-2/129 What is the value of ((-485)/(-70)*-4)/((4/(29/(-29)))/14)? 97 Evaluate 76/3*(-1881)/1254. -38 Evaluate (-121)/((-88935)/(-525))*56. -40 Evaluate ((-480)/64)/((5/1)/((-228)/(-19))). -18 What is the value of 2/(-400)*23*(-276)/(-1587)? -1/50 What is (-300)/56*95900/4110? -125 What is the value of (-624)/(-19136)*-92*7*14/6? -49 Evaluate (46/(-9))/((-628)/(-471)*(-1)/(-12)). -46 Calculate -1*720/20*(20/12)/((-130)/(-39)). -18 What is 923/(-426)*((-81)/(-156))/(-9)? 1/8 What is the value of (-56)/(-4)*(108/(-5166))/6? -2/41 ((-9)/1)/(((-17)/(18/(378/(-119))))/30) -90 Calculate (-333)/(-74)*14/(-117). -7/13 Calculate (((-8)/(-16))/(795/(-8)))/(((-23184)/(-189))/184). -2/265 67/((-11256)/(-1296))*7 54 What is (-99)/(-264)*((-3332)/(-21))/17? 7/2 What is the value of ((4872/(-31374))/(-29))/((-52)/78)? -2/249 4/(-34)*(-1179035)/26675 26/5 Calculate (12/7)/((-367840)/33880). -3/19 What is the value of ((-6)/36)/((((-14)/112*-2)/10)/1)? -20/3 Evaluate 61/(1342/1760)*-8*3/30. -64 Evaluate (-49)/(-4)*1928/(-482). -49 (-2)/1012*(-7167720)/22260 7/11 ((-819)/(-5733))/(8/(-91))*(-1)/(13/6) 3/4 What is 2*2/8*(-1122)/99? -17/3 8150/163*(-1316)/470 -140 What is (3/(27/10))/(2/((-67)/((-1876)/252)))? 5 What is 182*((-16245)/(-9633))/95? 42/13 Evaluate (7/42)/(-221*94/4888). -2/51 ((-35)/1400*20)/((-1)/(-94)) -47 (((-1326)/2635)/(-26))/((-2)/5) -3/62 What is the value of ((-39)/8)/(((5301/(-1938))/(-93))/((-12)/(-51)))? -39 Evaluate (-27)/((-171855)/(-38))*(-8)/(136/(-85)). -2/67 ((-4)/11)/((-4503)/(-8778)*28) -2/79 What is (-1)/(-9)*357/204*18/14? 1/4 What is (-141120)/6174*(-42)/12? 80 (288/72)/((-2)/24) -48 Evaluate (36/12)/(-3)*(450/42)/(-15). 5/7 What is (((-3)/(-21))/(((-30)/(-6))/20))/(666/(-518))? -4/9 Calculate (-1*(-9)/(-2))/(102/((-11424)/(-56))). -9 Evaluate (-7)/(5/(-5))*(-462)/(-126)*-3. -77 What is (237*(-99)/15642)/((-3)/(-244))? -122 Evaluate 204*1/15*(-12)/240*5. -17/5 What is the value of 71/((-2840)/(-240))*9/(-6)*5/(-45)? 1 Evaluate -4*(-2)/(((-20)/30)/(14/12)). -14 Evaluate (-1)/((-4*4/976)/((-1)/(-1))). 61 What is (-220)/(-5)*-1*42/42? -44 Evaluate (27*14/(-231))/(-25*159/145750). 60 (-16)/(-108)*27*(-22)/(-16)*-14 -77 Calculate ((-50)/90*(-15)/(-125))/(1720/6192). -6/25 Evaluate -8*1/(-15)*46/(5704/(-558)). -12/5 What is ((-528)/242)/((-50)/1100)? 48 Calculate ((-102)/(-255)*-5)/142. -1/71 Calculate ((-22)/(-55)*-5)/(140/(-15820))*1/(-2). -113 What is the value of 21/(3/(-1))*15*4188/6282? -70 Evaluate (-131)/((-44540)/(-850))*(-12)/(-5). -6 Calculate ((-804)/(-536))/((-2)/(-8)*10*(-1)/(-15)). 9 Evaluate (-798)/28*(-3948)/(-6251). -18 What is the value of 76/(57304/(-261))*9/27? -3/26 Calculate 2*(-609)/(-232)*-2*8/(-6). 14 Evaluate ((-1230)/20)/(975/(-650)). 41 ((-3663)/(-2035))/((-5)/(50/(-354))) 3/59 Evaluate (6/5)/((-186)/(-20)*(-1136)/1704). -6/31 -30*(-2)/((-1)/(8/(-80)*2)) 12 What is 150/525*(-14)/(-6)*6840/(-38)? -120 What is the value of 56*364/(-25480)*(2/(-8))/(1/(-6))? -6/5 Calculate (1376/(-258))/(4/((-17)/((-102)/(-36)))). 8 What is 95/76*(-288)/126? -20/7 5*93*(-34)/510 -31 (31/((-372)/(-72)))/((-726)/44) -4/11 Evaluate (16/80)/(14/105). 3/2 What is the value of (5/4)/((-138)/(496800/1000))? -9/2 Calculate ((-6)/(-260))/((-16056)/(-173940)). 1/4 What is the value of ((3/18)/(78/(-624)))/((-16)/408)? 34 What is ((-2)/(-19)*8569/(-1804))/((-2)/158)? 79/2 Calculate ((-48)/1316)/(3/(-6)*(-8)/14). -6/47 What is the value of (175/(-15))/(6727/(-5766))? 10 What is the value of ((-4)/1)/(139/((-973)/(-1330)))? -2/95 ((-33)/110)/((-6)/(-2))*4992/(-156) 16/5 Evaluate ((-34)/(-246))/((-375445)/44170). -2/123 What is the value of (-351)/(-30)*12/(-9)*((-79492)/357)/334? 52/5 (-208)/624*42/10 -7/5 What is the value of (((-35334)/(-755))/39)/((-2)/110)? -66 (((1/(-42)*-4)/(74/(-333)))/(-84))/(-1) -1/196 (153*(-952)/6936)/(1/((1/2)/1)) -21/2 Evaluate (52845/234)/271*(-18)/(-110). 3/22 -232*240/(-384)*1*(-3)/(-15) 29 What is the value of (-707)/202*5/(9450/24)? -2/45 Calculate (-9888)/(-126896)*((-2024)/(-24))/1. 46/7 What is -5*(-3)/(-2)*(-1160)/6090? 10/7 1*(-75)/(-24)*2*(-32844)/(-11730) 35/2 What is (-289596)/(-24133)*(-1)/38*(-8)/12? 4/19 Calculate (4/(-6))/(((-42)/(-3))/(3493/(-1996))). 1/12 What is the value of ((1/2)/1*3720/(-1116))/(-1)*21? 35 Evaluate 3/3*((-114)/(-1710))/((-6)/1395). -31/2 What is the value of (5/(-6)*64)/(-1*(5576/204)/(-41))? -80 What is ((-101)/(-303))/(((-43225)/78)/35)? -2/95 Evaluate ((21560/(-33))/(-35))/((-6)/9). -28 What is 2*230/(-8418)*(-3)/(-5)? -2/61 What is (-105)/(42/4*-58*77/(-31262))? -70 What is the value of ((-123)/18)/(((5/25)/(12/50))/(-5))? 41 What is (3780/24)/21*1824/(-513)? -80/3 What is (8/(-56))/((-17)/1547)? 13 What is the value of -15*(-77)/(-66)*1/14*-40? 50 ((-8850)/60)/(-59)*65/(-25) -13/2 Evaluate 87/(-4)*-112*(-76)/6384. -29 What is ((-155)/31)/((7/35*-14)/(-2))? -25/7 What is the value of (-2)/3*(-266934)/5234? 34 What is the value of 250/100*(-38)/190*-142? 71 4/25*77425/652 19 Evaluate ((-11250)/(-4125))/(38/(-209)). -15 What is ((-239590)/1940)/((-221)/(-34))? -19 What is ((-115)/((-2404535)/412))/(4/(-42))? -6/29 What is (-1*(-2)/(-68))/(16*(-22)/704*7)? 1/119 ((-333)/(-175047)*166)/(2/741) 117 What is the value of -86*1/(6/(-7)*(-1428)/204)*3? -43 (5*(-55)/30)/((-18)/108) 55 What is ((2/(-38))/((-15)/(-9)))/((-1122)/502095*537)? 1/38 Calculate (252/(-4158))/(14/2)*-7. 2/33 Evaluate (-24*1675/536)/1. -75 Evaluate (-3)/(101/(526008/252)). -62 What is 126/(-560)*(-460)/1035? 1/10 Evaluate (1/(-1))/((-16)/(8/(-2))*108/(-20304)). 47 Calculate (-525*582/(-10185))/(1/((-2)/(-3))). 20 What is (44/3)/((-6)/7*(-24360)/(-78300))? -55 Evaluate 27820/(-2675)*25/(-20). 13 Calculate (-28)/14*6/(60/5)*-9. 9 What is the value of ((-943)/(-1))/41*(-50)/575? -2 Evaluate ((-22)/28*-4)/(638/(-13398)). -66 What is the value of (((-4)/6)/1)/(((-10292)/(-249))/(-124))? 2 -1*((-20)/(-960)*8)/((-15)/(-15)) -1/6 What is the value of -6*78/1755*(-1)/((-3)/15)? -4/3 What is (92/(-40894))/(4/(-35))*16*11/(-220)? -2/127 What is ((-30)/16)/(43/(5418/(-63)))? 15/4 What is the value of (-238)/(-42)*(2*7/42)/(5/(-90))? -34 What is (390/225)/((-70)/(-75)*6/(-7))? -13/6 Calculate 10/22*(-316316)/35945. -4 Calculate 20/(-130)*26*(-123)/(-6). -82 ((-21144)/(-18501))/((24/(-21))/(-2)) 2 Evaluate (3/(-3))/(22/231*7*2/76). -57 Calculate (10/(-30))/((-1)/(-15))*(-3808)/(-340). -56 Evaluate (-10)/4*((-8)/(-320)*-115)/(240/576). 69/4 What is 88/4*155/(-90365)? -2/53 Calculate (-1)/((-12)/600*-5*15/(-24)). 16 Calculate (-98)/(-1407)*-3*(-23)/(-1771)*-11. 2/67 What is the value of -2*-21*47/(-18753)? -2/19 ((-270)/189)/((-2)/(-6)*12/(-42)) 15 Evaluate 47/(((-1)/10)/(66/990)*(-22)/33). 47 Evaluate (2/1)/(((-710)/(-142))/((-10)/604)). -1/151 What is (-57)/(-12)*5/((-40)/24)*400/60? -95 Evaluate ((-9)/3*(-5)/14520*4)/((-5)/10). -1/121 What is the value of (((-8)/(-152))/((-38)/722))/(4/((-16)/62))? 2/31 Evaluate (184/(1012/22))/(5/((-3030)/24)). -101 What is the value of ((6/5)/((-113)/(2825/(-15))))/32? 1/16 What is 1111*73/32923*-41? -101 Calculate (22/53856*72)/(-1). -1/34 What is the value of (372/(-30))/31*-20? 8 Calculate ((-12)/(-16))/((161/1196)/(-7)). -39 Calculate (-2)/380*93879/(-1647). 3/10 (-3)/((-18*11/(-1980))/((-3)/(-10))) -9 Calculate (3/(-42)*(56/12)/(-2))/(8/3792). 79 Evaluate (-10388)/(-98)*59/(-118). -53 What is (-470)/1175*640/96*23/(-8)? 23/3 Calculate (10*(-2)/22)/((-3000)/4125)*-12. -15 ((-42)/(-182))/(87/(-1131)) -3 What is (-450)/((2145/(-5))/(-143))? -150 4/6*(-54)/165*30*(-5025)/(-15075) -24/11 Calculate ((4/19)/4*-2)/(43/(-172)). 8/19 Evaluate (28/10)/(10*(-40)/11200*16/(-10)). 49 What is the value of 6/((-8)/(-54)*(-489)/326)? -27 ((-81)/42)/(((-777)/56)/(-37))*-1 36/7 What is the value of ((-9216)/(-30400))/(-48)*50/60? -1/190 Calculate -7*30*(-1265)/(-11550). -23 63/42*-174*(-34)/153 58 ((-589)/2356)/(4/400) -25 ((-576)/42)/(-4)*(-22)/2992*-34 6/7 What is (1/9)/((-5112)/17253)? -3/8 Calculate (((-48)/4)/(-6))/(2/((-18)/(-315))). 2/35 What is the value of 9260/(-20835)*81/(-8)? 9/2 Evaluate (-21)/(-140)*94*(-316)/(-189363). 2/85 What is (1386/45)/(-22)*(-6)/2? 21/5 What is the value of 1*((-1810)/1448)/(1/8)? -10 Calculate ((-315)/735)/((-1230)/(-140)). -2/41 1828/(-9597)*9/54
{ "pile_set_name": "DM Mathematics" }
2 Let h(k) = 7*k + 10. Determine h(-4). -18 Let w(k) = -k**3 + 11*k**2 + 13*k - 7. Calculate w(12). 5 Let v(t) = -t**2 + 8*t - 33. What is v(3)? -18 Let q(g) = -22*g - 22. Calculate q(-1). 0 Let h(g) = g**2 + g - 3. Calculate h(4). 17 Let d(s) = 3*s**3 + 2*s**2 + 2. Calculate d(-2). -14 Let z(j) = -3*j**2 + 7*j + 1. Give z(5). -39 Let f(d) = d**2 + 6*d + 1. Determine f(-7). 8 Let j(x) = -x**3 + 10*x**2 - 7*x - 6. Determine j(9). 12 Let w(v) = -v**3 + 2*v**2 - v. What is w(2)? -2 Let n(u) = -4*u. Determine n(6). -24 Let u(t) = 35*t - 42. Calculate u(1). -7 Let y(s) = s**3 + s**2 + s + 22. Calculate y(0). 22 Let d(w) = -4*w**2 + 3*w - 4. What is d(1)? -5 Let v(o) = o**3 - 16*o**2 + 4*o + 5. Calculate v(16). 69 Let c(u) = -8*u + 51. Give c(9). -21 Let x(s) = s**2 - 7*s + 6. Determine x(3). -6 Let d(s) = -s**2 - 6*s + 3. What is d(-5)? 8 Let u(q) = -6*q**2 + 24*q - 21. Give u(1). -3 Let x(r) = r**2 - 7*r + 7. What is x(7)? 7 Let h(o) = o + 9. Calculate h(-2). 7 Let j(d) = d**3 + 5*d**2 + 10*d + 23. Determine j(-4). -1 Let f(q) = -2*q**2 + 11*q + 4. What is f(7)? -17 Let t(o) = o**3 + 6*o**2 - 13*o + 9. Determine t(-8). -15 Let z(j) = j**3 + 11*j**2 + 5*j - 33. What is z(-10)? 17 Let j(a) = a**2 + 20*a - 14. Calculate j(-21). 7 Let v(z) = z**3 - 7*z**2 + 3*z + 11. What is v(6)? -7 Let r(z) = -z**3 + 8*z**2 + 10*z + 4. Determine r(9). 13 Let z(d) = -d**2 + 12*d + 2. Give z(12). 2 Let t(z) = -z**2 - 13*z + 1015. Determine t(-39). 1 Let m(y) = 2*y**2 + 4*y + 76. Determine m(0). 76 Let s(u) = u**2 - 14*u + 7. Determine s(11). -26 Let w(h) = -12*h + 115. Determine w(12). -29 Let m(u) = u**3 + 12*u**2 + 4*u + 47. Calculate m(-12). -1 Let u(g) = -g**3 + 7*g**2 - 14*g + 12. Calculate u(5). -8 Let w(z) = z**3 + 5*z**2 - 7*z - 6. Calculate w(-5). 29 Let r(s) = s**2 - 25*s - 19. What is r(15)? -169 Let k(d) = -16*d - 8. Determine k(-2). 24 Let c(u) = 36*u + 106. Calculate c(-3). -2 Let h(j) = j**2 - 8*j - 9. What is h(13)? 56 Let z(g) = 3*g**3 + 17*g**2 + 22*g + 3. What is z(-3)? 9 Let c(o) = -2*o + 1. Give c(4). -7 Let i(l) = 21*l - 64. Calculate i(3). -1 Let l(u) = u**3 - u**2 + u - 34. Determine l(0). -34 Let h(w) = 7*w - 119. Give h(17). 0 Let n(b) = b. Calculate n(-6). -6 Let o(b) = -b**3 - 6*b**2 - b + 8. What is o(-6)? 14 Let n(v) = 5*v**2 + v - 1. Calculate n(-1). 3 Let u(s) = -s**2 - 66*s + 205. What is u(-69)? -2 Let k(u) = 10*u**3 - 4*u**2 + 8*u - 3. Determine k(1). 11 Let c(q) = q**3 - 9*q**2 - 36*q - 5. Calculate c(12). -5 Let r(g) = 3*g + 4. Calculate r(-5). -11 Let h(q) = 4*q**2 + 4*q + 4. Calculate h(-2). 12 Let n(r) = -r**3 + 19*r**2 - 6*r + 113. Calculate n(19). -1 Let j(b) = -b**2 + 11*b - 14. Calculate j(8). 10 Let d(k) = 2*k**3 - 18*k**2 + 22*k - 22. What is d(8)? 26 Let v(b) = -3*b - 54. What is v(-23)? 15 Let t(q) = q**2 - 16*q + 60. Give t(9). -3 Let p(k) = -75*k + 301. What is p(4)? 1 Let r(v) = 3*v**2 + 20*v - 1. Determine r(-7). 6 Let k(h) = 6*h - 3. Calculate k(-7). -45 Let j(o) = -o**3 + 7*o**2 + 33*o - 22. Give j(10). 8 Let s(k) = -k**3 + 16*k**2 + 2*k - 27. Determine s(16). 5 Let u(l) = 2*l**2 + 2*l - 4. Give u(-3). 8 Let l(k) = 5*k + 61. Calculate l(-12). 1 Let l(y) = -y**3 + y**2 + 4*y - 2. Give l(3). -8 Let d(m) = 3*m + 8. Give d(-5). -7 Let o(u) = -20*u - 192. What is o(-10)? 8 Let q(m) = -m**2 - 3*m + 2. Give q(2). -8 Let p(m) = -m + 18. Calculate p(0). 18 Let s(x) = -x**3 + 9*x**2 + 13*x - 11. Calculate s(10). 19 Let x(j) = -3*j**2 + j + 11. What is x(5)? -59 Let h(g) = -g**2 - 6*g - 1. Determine h(-4). 7 Let a(u) = -u**3 + 34*u**2 - 32*u - 36. Determine a(33). -3 Let o(g) = -g**3 + 11*g**2 - 10*g - 5. Determine o(10). -5 Let o(i) = i**3 + 33*i**2 - 35*i - 73. Give o(-34). -39 Let f(x) = 2*x**2 + 25*x - 22. What is f(-14)? 20 Let s(a) = -5*a - 69. Determine s(-17). 16 Let p(q) = q**2 - 2*q - 3. Calculate p(6). 21 Let w(r) = r**2 - 35*r - 123. Calculate w(38). -9 Let y(q) = q**2 - 9*q + 40. What is y(8)? 32 Let p(o) = -o**3 - 5*o**2 + 14*o - 10. Give p(-7). -10 Let j(a) = 3*a + 11. Give j(8). 35 Let l(s) = s**2 - 5*s - 29. Give l(0). -29 Let t(y) = -14*y - 1. What is t(1)? -15 Let l(r) = 2*r**3 + 16*r**2 - 4*r - 25. Determine l(-8). 7 Let l(y) = 2*y - 27. Determine l(12). -3 Let u(j) = j**2 - 16*j + 64. Calculate u(7). 1 Let d(q) = -q**2 + 6*q - 8. Determine d(4). 0 Let f(q) = 110*q - 663. Give f(6). -3 Let g(n) = n**2 - 6*n + 7. Determine g(6). 7 Let y(x) = -x - 5. Determine y(-6). 1 Let n(l) = 2*l**2 - 14*l - 50. Calculate n(-3). 10 Let m(y) = 3*y - 12. Give m(0). -12 Let d(q) = q**3 + 9*q**2 + 7*q + 4. Give d(-8). 12 Let y(a) = a**2 + 18*a + 39. Calculate y(-16). 7 Let k(j) = j**3 - 8*j**2 - 12*j + 6. Calculate k(9). -21 Let z(j) = -j**3 + 4*j**2 + j - 3. Calculate z(-2). 19 Let x(j) = j**3 + 8*j**2 - 7*j + 16. What is x(-9)? -2 Let k(l) = l**3 - 14*l**2 + 11*l + 9. Give k(13). -17 Let c(r) = -13*r + 4. Calculate c(-8). 108 Let g(p) = -p**2 + 3*p + 9. Calculate g(4). 5 Let d(i) = 167*i - 164. Give d(1). 3 Let q(c) = -113*c - 3. Give q(1). -116 Let h(y) = -4*y - 7. Give h(-7). 21 Let o(g) = g**3 - 7*g**2 + 7*g + 3. Calculate o(6). 9 Let k(v) = -2*v**3 + 4*v**2 - 2*v - 1. What is k(1)? -1 Let i(u) = -6*u**3 - 2*u**2 + 4*u + 4. What is i(-1)? 4 Let s(x) = 3*x - 41. What is s(12)? -5 Let s(v) = 6*v**3 - v**2 + 2*v + 3. Calculate s(-1). -6 Let j(o) = o**3 + 16*o**2 - o + 1. Give j(-16). 17 Let r(k) = 115*k + 567. Give r(-5). -8 Let o(n) = n**2 + 12*n - 45. Give o(5). 40 Let u(q) = 4*q + 18. Give u(-6). -6 Let m(j) = -j**3 + 7*j**2 - 2*j - 3. Calculate m(7). -17 Let d(k) = -k**2 - 7*k + 3. Determine d(-11). -41 Let o(q) = -9*q - 44. What is o(-5)? 1 Let u(x) = -2*x**3 - x**2 - x - 1. Determine u(-1). 1 Let g(o) = -o**3 + 11*o**2 - 12*o + 1. What is g(5)? 91 Let q(n) = n**3 + 3*n**2 - 8*n + 2. Give q(-6). -58 Let f(c) = 8*c + 42. Determine f(-5). 2 Let f(y) = -11*y**2 + 29*y + 5. Calculate f(3). -7 Let a(h) = -5*h + 39. Determine a(10). -11 Let w(l) = l**3 - 9*l**2 + 7*l + 8. Determine w(8). 0 Let n(y) = -2*y**2 - 20*y - 1. Determine n(-9). 17 Let w(j) = j**3 - 2*j**2 + j - 2. What is w(4)? 34 Let p(s) = 11*s**2 - 8*s + 2. Calculate p(1). 5 Let v(s) = 10*s**2 - 3*s + 2. What is v(1)? 9 Let v(c) = 2*c**2 + c - 20. Determine v(-7). 71 Let o(b) = -b**2 - 13*b - 9. What is o(-12)? 3 Let s(b) = -84*b + 427. Calculate s(5). 7 Let f(t) = -2*t**2 - 3*t + 3. Give f(-3). -6 Let w(v) = 2*v**2 - 4*v + 23. Determine w(8). 119 Let v(u) = 13*u + 52. Determine v(-4). 0 Let n(a) = a**2 - 10*a - 31. Determine n(13). 8 Let g(p) = -4*p - 7. What is g(4)? -23 Let g(q) = -q**3 - 4*q**2 + 8*q + 9. Calculate g(-5). -6 Let f(d) = -d + 28. Determine f(14). 14 Let g(m) = -m + 9. What is g(15)? -6 Let p(s) = s**2 - 2*s - 13. What is p(5)? 2 Let m(b) = -b**2 + 12*b + 1. Give m(10). 21 Let p(n) = 9*n + 37. Give p(-4). 1 Let s(j) = j**3 - 5*j**2 - 3*j - 17. Calculate s(6). 1 Let s(m) = -101*m + 408. Calculate s(4). 4 Let x(w) = -2*w**2 - 23*w - 12. Calculate x(-9). 33 Let b(w) = -w**2 + 14*w - 16. Give b(12). 8 Let r(g) = 4*g + 55. What is r(-13)? 3 Let o(p) = -11*p - 4. Calculate o(-1). 7 Let s(o) = 156*o - 149. What is s(1)? 7 Let g(a) = -6*a - 2. Determine g(1). -8 Let d(l) = l**3 - 8*l**2 + 8*l - 6. Calculate d(7). 1 Let p(t) = t**3 + 7*t**2 + 4*t - 9. Determine p(-6). 3 Let c(l) = l**3 - 3*l - 11. Calculate c(0). -11 Let m(x) = 7*x**2 - 6*x + 5. What is m(1)? 6 Let w(a) = 2*a**3 - 2*a. Give w(3). 48 Let m(t) = 2*t**3 + 63*t**2 - 34*t - 69. Calculate m(-32). -5 Let z(i) = 4*i + 6. Give z(-5). -14 Let k(y) = y**3 + 8*y**2 + 10*y - 10. Calculate k(-7). -31 Let c(s) = -3*s**2 + 16*s - 12. Determine c(7). -47 Let d(l) = -6*l**2 - 73*l - 73. Determine d(-1). -6 Let x(l) = 11*l + 2. What is x(-1)? -9 Let c(g) = g**2 - 5*g - 3. Give c(4). -7 Let u(a) = -6*a - 14. Give u(-1). -8 Let s(w) = w**2 - 6*w - 45. Give s(-4). -5 Let a(k) = 3*k**3 + 8*k**2 + 3*k + 7. Determine a(-4). -69 Let u(x) = -x**3 + 42*x**2 - 39*x - 90. Give u(41). -8 Let s(c) = -c**3 + 8*c**2 - 10*c + 6. Calculate s(6). 18 Let r(h) = -h**3 - 17*h**2 + 2*h - 6. Calculate r(-17). -40 Let j(s) = -7*s + 11. Determine j(-5). 46 Let m(y) = -y**3 - 22*y**2 - 37*y + 44. Give m(-20). -16 Let q(i) = -2*i**3 + 18*i**2 + 18*i + 23. Determine q(10). 3 Let y(h) = 27*h - 181. Calculate y(7). 8 Let l(j) = -
{ "pile_set_name": "DM Mathematics" }
-2211100258795 What is -154850499273 take away 19? -154850499292 Total of -7.07489 and 11978.38. 11971.30511 What is -0.089008 plus 3.42561? 3.336602 What is 25352549965 plus -5.607? 25352549959.393 Work out 13097118505391 + 0.7. 13097118505391.7 Calculate 79070857 - 234.5. 79070622.5 Calculate 2604 + -0.05730477581. 2603.94269522419 What is the difference between -0.1170462 and 96105.03? 96105.1470462 What is -567879 + 728928? 161049 What is the difference between 6463597.495583 and 0? 6463597.495583 Sum 2448.29488567 and 3. 2451.29488567 What is 181.550282252 minus -0.87? 182.420282252 What is 5 - 0.4431689476517? 4.5568310523483 What is 2795495 minus -0.079469556? 2795495.079469556 Add together -0.6639 and -94947651. -94947651.6639 Put together -503075 and -421158. -924233 What is -0.272674802 less than -69445? -69444.727325198 601 - 9649206.9 -9648605.9 Work out -9468.2352 + 0.15224. -9468.08296 What is -424 minus 0.479088446516? -424.479088446516 Work out 0.0618874 - -17384.8. 17384.8618874 What is 11.65 - 6.08182? 5.56818 Put together 78 and -574.3255026. -496.3255026 15457692871958 - -4.6 15457692871962.6 What is -23064265.927138 take away -0.05? -23064265.877138 Work out 15 + -20632699815736. -20632699815721 Total of 0.083035 and 18700224.2. 18700224.283035 Sum -63152624.131887 and -0.2. -63152624.331887 Total of 0.3 and -419294.404211. -419294.104211 What is 0.17493 - 1627.5418564? -1627.3669264 What is -324051741047 minus 0.2? -324051741047.2 -1+5.83738969533 4.83738969533 10988117.3 - 2785 10985332.3 Total of 11323259634 and 1.6. 11323259635.6 -42572586 - 5617 -42578203 Put together -173110016079 and -0.4. -173110016079.4 What is 374421280 minus 66? 374421214 Add together 8705701015823 and 0.4. 8705701015823.4 What is 114554.53 take away -7601? 122155.53 Subtract 34 from -2483746671. -2483746705 What is the distance between -82.9382 and -21111.328? 21028.3898 108977+18.84683757 108995.84683757 Work out 9347625 + 49.7. 9347674.7 Total of -312738 and -73370422. -73683160 Total of -168082876.396594 and -0.3. -168082876.696594 What is 2.56963103717 less than -13.5? -16.06963103717 Total of -2356577400383 and -0.2. -2356577400383.2 What is 11 less than -9.744845280231? -20.744845280231 -169644661 + 208038 -169436623 0.829 + 5179042.228 5179043.057 -0.3 + 89883892685743 89883892685742.7 Add together -367 and 18.1020368. -348.8979632 What is 72242.71 - 8105311? -8033068.29 What is the distance between 0.02913241 and 2633126? 2633125.97086759 Subtract -0.09642 from 865902922. 865902922.09642 Subtract 3 from -43147013705401. -43147013705404 What is -24840.411226855 plus -14? -24854.411226855 Work out -391.06355003 + 530. 138.93644997 Put together -9133 and 9426044. 9416911 Sum 4443697 and 3229.2. 4446926.2 Subtract -4 from 940066173756939. 940066173756943 Work out 0.039954300221 + 0.6269. 0.666854300221 Calculate -160875653321 - 2. -160875653323 What is -756407 take away 5051.4379? -761458.4379 What is -0.1 plus 73567475255? 73567475254.9 What is -0.1693 minus -0.03937057063? -0.12992942937 Subtract 680.07125 from -56417. -57097.07125 What is 55365543321512 plus -1.3? 55365543321510.7 What is 0.01 take away 1127589117372? -1127589117371.99 What is 2723.7 - 182932? -180208.3 Add together 8074.224377966 and -0.1. 8074.124377966 What is -3183234741 - 627? -3183235368 Calculate -21 + 0.15630216876609. -20.84369783123391 Calculate 4960908588 - -0.13566. 4960908588.13566 Add together 43188 and -88133270. -88090082 Work out -5 + 2814782920302. 2814782920297 What is 2.1 minus 115.12708845027? -113.02708845027 What is 0.104974 + 17649896? 17649896.104974 What is -126 + 0.14235667847? -125.85764332153 Total of -496.920302 and 3263. 2766.079698 Sum 18.58 and -29435638. -29435619.42 What is 183503 - 1146729? -963226 Work out 28 - -19291952688. 19291952716 What is -37735982 take away 647739? -38383721 What is -0.3508 take away 2015137909.5? -2015137909.8508 Work out -82145.507545683 + -6. -82151.507545683 112180.8+0.1072173 112180.9072173 What is -3 take away 42392311885860? -42392311885863 What is 0.6069 take away -3311568? 3311568.6069 What is the distance between 2.518896837836 and 0.5? 2.018896837836 -0.4+-20609623468 -20609623468.4 Sum 28965217772840 and 5. 28965217772845 What is 5 take away -316979685971? 316979685976 Total of -3828.27235513 and -0.4. -3828.67235513 What is the difference between 0.06 and 0.046241626507? 0.013758373493 Put together 121 and -97822.5561. -97701.5561 Work out -92675017461929 + -5. -92675017461934 -91 - -6558964473 6558964382 1262 - 0.11407363693 1261.88592636307 Total of -702 and 84500175.2323. 84499473.2323 -42131.945246 - -4 -42127.945246 389936 - 17576677 -17186741 What is 78.197 minus 52331.8? -52253.603 What is -281 less than -742049861014? -742049860733 Total of 0.01622745329 and 0.1185. 0.13472745329 Calculate 0.23 - 0.823432639025. -0.593432639025 Add -2255259.56 and -569. -2255828.56 Sum 0.19409 and -52907027.158. -52907026.96391 Calculate -22152226 + -1719. -22153945 What is -91911 minus 181.237215? -92092.237215 Total of 8878.9251 and 766666. 775544.9251 -120.72 + 3620205 3620084.28 Put together 0.006 and 2014902.716. 2014902.722 What is the difference between -1587 and -20032632843? 20032631256 Work out -0.1 - 62616343463733. -62616343463733.1 Total of 163.5101 and -54423. -54259.4899 Add 0.70941 and 202039810. 202039810.70941 Subtract -0.1 from 29778964.3358663. 29778964.4358663 What is -0.35761698 minus -181983? 181982.64238302 What is 0.058715 less than 4773662? 4773661.941285 Calculate 0.061 + 2133594301027. 2133594301027.061 -0.35+-3989.3837118 -3989.7337118 Sum -24163 and 216232986. 216208823 -2+7440234468390 7440234468388 Calculate -7.8 + -70.0759036. -77.8759036 1.03 - 14243.15218 -14242.12218 What is 0.4 minus -8087.642483? 8088.042483 Calculate -23 + 1907.560829. 1884.560829 What is the difference between -768651673 and -31317? 768620356 Calculate 215737883 - 6176. 215731707 -1233566 - 213854961 -215088527 What is the difference between -89.0271434 and 795? 884.0271434 Calculate 17538.489 + -13028465. -13010926.511 Put together -8.7 and 2746.4224323. 2737.7224323 What is 0.1 minus -1385955077828? 1385955077828.1 What is -1899441763 + 294275? -1899147488 Work out -1.1534995 - 43. -44.1534995 What is the distance between 129 and 0.0052571? 128.9947429 What is the difference between 14 and 12655032257? 12655032243 Work out -1816 - 6708164.86. -6709980.86 What is 125268 plus -0.050218289? 125267.949781711 What is -551.736 less than 66391860? 66392411.736 Work out 871029165450 - 0.3. 871029165449.7 Put together 0.1774483 and 73710.27. 73710.4474483 Total of 9.9 and -147721404320. -147721404310.1 What is 2523.38833 plus 292781.4? 295304.78833 What is 69402417159 minus 5? 69402417154 Add together 46350 and -18925923. -18879573 -58013089650 - 7 -58013089657 -101198 + -6.3983 -101204.3983 Work out -28.87 - 75221.0707. -75249.9407 Add 11990871889955 and 0.5. 11990871889955.5 Sum 102049140 and -63.3. 102049076.7 What is the difference between -0.032649961 and -0.044669? 0.012019039 What is -88375273 minus -56203? -88319070 What is 28.62154995 minus 2418? -2389.37845005 Add together 9075 and 270871.9016. 279946.9016 Calculate 743343375197 - -13. 743343375210 What is 5 less than 733835834586? 733835834581 What is -1548 less than -386336.88321? -384788.88321 What is -45.955372674 minus 6? -51.955372674 Work out 125618 + -105718.9. 19899.1 Work out -4750.158959 - 17. -4767.158959 Add together 0.082 and 301606909.6. 301606909.682 Work out 83959584770161 - -2. 83959584770163 Calculate -257577 - -0.13016729. -257576.86983271 Work out -12658623.8431579 - -5. -12658618.8431579 Put together 30238576 and -17.77. 30238558.23 What is 29347.576505 - 6? 29341.576505 Add 58962230512 and -167. 58962230345 0.3 - -513.46493376934 513.76493376934 Work out -9685628346155 + 0. -9685628346155 What is -14391454134 take away -304? -14391453830 Calculate 135323 - -282022. 417345 8 - 23798170199364 -23798170199356 Add together 107417 and 1.75184773. 107418.75184773 Sum 465 and -4580222.2. -4579757.2 -47140610945 + 1035 -47140609910 Add together 165 and -1233503.249. -1233338.249 -276551.75+-19232 -295783.75 Add 0.5 and 8.502405
{ "pile_set_name": "DM Mathematics" }
173352865 rounded to the nearest 10000? -173350000 Round 1.3747474 to three dps. 1.375 Round 0.001431717242 to five dps. 0.00143 Round 599.642673 to two dps. 599.64 What is 0.026476029 rounded to four dps? 0.0265 Round 16546780.83 to the nearest 100. 16546800 Round -9.95851845 to 4 dps. -9.9585 What is 176.879911 rounded to 1 dp? 176.9 What is -0.0000004331287737 rounded to seven decimal places? -0.0000004 Round -182.116907 to the nearest 10. -180 Round 0.000057472 to seven decimal places. 0.0000575 Round -0.0000061029651 to six decimal places. -0.000006 What is -72463.922 rounded to the nearest 10000? -70000 What is 459.9181 rounded to 0 dps? 460 What is -9745451.5 rounded to the nearest one million? -10000000 What is -0.00095860359 rounded to 5 dps? -0.00096 Round -1477128.02 to the nearest 100000. -1500000 What is 16.4838708 rounded to 1 dp? 16.5 What is 0.0160393409 rounded to five dps? 0.01604 What is -1623226372 rounded to the nearest one hundred thousand? -1623200000 Round 784745.5008 to the nearest 100. 784700 Round -3712673.29 to the nearest one hundred thousand. -3700000 Round -0.00300820725 to six decimal places. -0.003008 Round 3929829029 to the nearest 1000000. 3930000000 What is -2199.620166 rounded to the nearest one hundred? -2200 What is -0.8968038 rounded to 2 dps? -0.9 What is 135553.468 rounded to the nearest 10? 135550 What is 0.005220465 rounded to three dps? 0.005 Round -42.155587 to the nearest integer. -42 What is -14490579.07 rounded to the nearest one million? -14000000 What is -328.1930469 rounded to the nearest 10? -330 What is -102.4439248 rounded to the nearest 10? -100 Round 76465.766 to the nearest 1000. 76000 What is -24.93502 rounded to the nearest integer? -25 What is 0.00005640160592 rounded to six decimal places? 0.000056 What is -194955.611 rounded to the nearest 100? -195000 Round 35.23000689 to 1 decimal place. 35.2 Round -0.00833619976 to 7 dps. -0.0083362 Round 1386626781 to the nearest one million. 1387000000 What is -20199267.3 rounded to the nearest 1000000? -20000000 What is -423.69011 rounded to one dp? -423.7 Round 0.089653062 to four decimal places. 0.0897 What is 1743.6341 rounded to the nearest ten? 1740 Round -3951313.75 to the nearest ten thousand. -3950000 Round -0.202642092 to four decimal places. -0.2026 Round -103.892035 to the nearest integer. -104 Round -2.63102815 to 2 dps. -2.63 What is -13202286.76 rounded to the nearest one million? -13000000 Round 0.000012687186462 to 6 dps. 0.000013 Round -0.000041808077 to 6 decimal places. -0.000042 Round -135640801.1 to the nearest ten thousand. -135640000 What is 46596186.92 rounded to the nearest one hundred thousand? 46600000 Round -3540.294169 to the nearest one hundred. -3500 What is 0.00481710398 rounded to six dps? 0.004817 Round 43.61413544 to one decimal place. 43.6 Round -5.059219087 to one decimal place. -5.1 Round 20.206503 to the nearest ten. 20 Round 0.0245917515 to 5 dps. 0.02459 What is 16873.1881 rounded to the nearest one hundred? 16900 Round 0.0327298384 to 5 decimal places. 0.03273 What is 0.871983846 rounded to 4 dps? 0.872 Round -0.0140184644 to six decimal places. -0.014018 What is 14.702023559 rounded to 1 decimal place? 14.7 Round 22558157680 to the nearest one million. 22558000000 Round 0.10237178289 to six decimal places. 0.102372 Round 108035.32 to the nearest 10000. 110000 What is 40568785800 rounded to the nearest 1000000? 40569000000 Round 0.000003816805 to six decimal places. 0.000004 Round 0.0175050074 to 6 dps. 0.017505 What is -12.621998053 rounded to one decimal place? -12.6 What is -0.0000328926188 rounded to 7 decimal places? -0.0000329 What is 53.760502 rounded to 2 dps? 53.76 Round 710493.688 to the nearest one hundred. 710500 What is -0.02225677657 rounded to three dps? -0.022 What is -9414967.557 rounded to the nearest one hundred thousand? -9400000 Round -1800861.61 to the nearest one hundred thousand. -1800000 Round 0.305888259 to three dps. 0.306 Round -504643878 to the nearest 100000. -504600000 Round 0.0201994748 to three dps. 0.02 Round 12542.01456 to the nearest one hundred. 12500 What is 0.00002004502918 rounded to 7 dps? 0.00002 Round 262791.362 to the nearest one hundred thousand. 300000 What is 1541846.3984 rounded to the nearest 100000? 1500000 Round 0.549852552 to three dps. 0.55 What is 0.02508859394 rounded to three dps? 0.025 What is 125.0493492 rounded to three decimal places? 125.049 What is 0.129103914 rounded to 4 dps? 0.1291 What is -97197.8246 rounded to the nearest one thousand? -97000 What is 26.4873919 rounded to the nearest integer? 26 Round -2.19556905 to three decimal places. -2.196 What is 0.734666318 rounded to 2 dps? 0.73 Round 62873.269 to the nearest 10. 62870 Round -0.000046230205 to five dps. -0.00005 Round -3246.52051 to the nearest one hundred. -3200 Round 9132848 to the nearest one million. 9000000 Round 648.895251 to one dp. 648.9 Round -0.0001568464372 to 7 dps. -0.0001568 Round 676.56713 to the nearest ten. 680 What is 3.9382542 rounded to 3 dps? 3.938 Round -5753014.1 to the nearest one thousand. -5753000 What is -0.02367399489 rounded to seven dps? -0.023674 Round 0.001777626004 to five dps. 0.00178 What is -0.1735814 rounded to 1 decimal place? -0.2 Round -159647.2683 to the nearest one hundred. -159600 What is 720590.63 rounded to the nearest ten thousand? 720000 What is -65689.0328 rounded to the nearest 100? -65700 Round -0.000671223356 to six decimal places. -0.000671 What is 0.2977735321 rounded to five dps? 0.29777 Round -20.7099001 to two decimal places. -20.71 Round 2126507983 to the nearest one hundred thousand. 2126500000 Round -94446.59505 to the nearest one hundred. -94400 What is -0.0000735190667 rounded to six decimal places? -0.000074 Round -478.272648 to 0 dps. -478 What is 0.811064728 rounded to 2 dps? 0.81 Round -0.0003103398489 to 5 decimal places. -0.00031 Round -94869.483 to the nearest 1000. -95000 What is -2858638.03 rounded to the nearest one thousand? -2859000 Round -93.687156 to the nearest one hundred. -100 What is 0.00001096983583 rounded to seven decimal places? 0.000011 What is -0.3305397947 rounded to four decimal places? -0.3305 What is 9837631.142 rounded to the nearest 1000000? 10000000 What is 29312.433 rounded to the nearest 10? 29310 What is -51925766.27 rounded to the nearest 1000000? -52000000 What is -0.1042740828 rounded to five decimal places? -0.10427 What is -413585.56 rounded to the nearest 100? -413600 Round 319292393.22 to the nearest 100000. 319300000 What is 0.00001830688089 rounded to five decimal places? 0.00002 Round -1132818.001 to the nearest one hundred thousand. -1100000 Round -8.94614557 to 3 decimal places. -8.946 Round 25064412.8 to the nearest ten thousand. 25060000 Round -0.0004841668 to 4 decimal places. -0.0005 Round -637.68774 to the nearest 100. -600 What is 356582.3973 rounded to the nearest 100? 356600 What is 0.082854386 rounded to 1 dp? 0.1 Round -36.6143231 to 1 dp. -36.6 Round -0.01409761029 to six decimal places. -0.014098 What is 654847.45 rounded to the nearest one hundred thousand? 700000 Round -2.038463713 to one decimal place. -2 Round -0.11099649844 to 4 decimal places. -0.111 What is -0.000389191 rounded to 4 dps? -0.0004 What is 0.0000832979316 rounded to 5 decimal places? 0.00008 What is 0.0001649480963 rounded to 7 dps? 0.0001649 What is 3.599029952 rounded to four decimal places? 3.599 What is -0.05567331401 rounded to three dps? -0.056 What is 2235360560 rounded to the nearest 1000000? 2235000000 What is -0.314521412 rounded to 2 dps? -0.31 Round 0.35319943 to 4 decimal places. 0.3532 What is 7.12400275 rounded to three dps? 7.124 What is 0.930313711 rounded to four decimal places? 0.9303 Round 0.000307127176 to 6 decimal places. 0.000307 Round 402.88951 to the nearest one hundred. 400 What is -59.838738 rounded to the nearest ten? -60 Round 2758590.79 to the nearest ten thousand. 2760000 Round -0.5454249818 to five decimal places. -0.54542 Round -88.4982 to the nearest 100. -100 Round -10502.52508 to one decimal place. -10502.5 What is 0.002343330983 rounded to 6 decimal places? 0.002343 What is 8788211880 rounded to the nearest 100000? 8788200000 What is 204.239498 rou
{ "pile_set_name": "DM Mathematics" }
Let v = i - 44.98. Which is the smallest value? (a) v (b) -5/4 (c) -2 c Let j = 474 + -472.4. Which is the smallest value? (a) -0.1 (b) -3/8 (c) -4 (d) j c Suppose 0 = -21*l + 26*l + 25. What is the smallest value in -118, 2, l? -118 Let r = -130111/5 - -26228. Let d be -204 - ((-1)/1)/(13 - 14). Let z = r + d. Which is the third biggest value? (a) -0.3 (b) z (c) -2/17 a Let y = 0.3 + -1.3. Let j = -182.9 - -183.3. What is the second biggest value in j, y, 0.3? 0.3 Let r = 116.5 - 116. Let d = -7 - -18. Which is the biggest value? (a) r (b) d (c) -2 b Let u = -110 - -109. Which is the third smallest value? (a) 3 (b) u (c) 43 c Let t = -11.77 + 16.77. Which is the third biggest value? (a) -1.2 (b) 4 (c) t a Suppose 5*b = -2*z - 10, -2*z + 7*z - 4*b - 8 = 0. Let a be 36/45*(z - 5)/(-1). What is the smallest value in a, 5, -6/11, -0.1? -6/11 Suppose -4 = -3*p + 2*f, 3*p + p + 3*f = 11. Let r = p - 0. Let o be 10/4 - (5 - r). Which is the biggest value? (a) o (b) -0.2 (c) -1/6 c Let g be (-16)/(-4)*15/12. Let u = 39 + -35. Let s = 4 - u. What is the biggest value in g, 3, s? g Let t = -217 + 213. Let z = -7675/3 + 2529. Let m = -29 - z. What is the third smallest value in -0.03, t, m? m Let l = -2 + 1.9. Let y = -3.1 - l. Let t = -5560 + 5559. What is the smallest value in t, 0.1, y? y Let z be (-7)/2 + (-1)/2. Let w = 0.3 + -0.1. Let m = 3539/19525 + 1/1775. Which is the smallest value? (a) m (b) w (c) z c Let q = -3.2 - 1.8. Let h = -45 + 181/4. Let x(i) = 2*i + 12. Let t be x(-6). Which is the smallest value? (a) t (b) q (c) h b Let c = 10.8328 - -0.0172. Let i = -11 + c. Let a = 0.85 - i. What is the third biggest value in 1/3, a, 10? 1/3 Let m = -0.35 - 15.65. Let b = m + 18. Let w = -0.17 - -1.17. What is the second biggest value in b, w, 0? w Let l = 3908 + -3907.96. Suppose -3*j = 5*g - 19, 2*g + 3*g - 13 = -j. What is the third biggest value in -1/4, l, j? -1/4 Let o = 371/15 + -122/5. Let u = 0.04 - -1.96. What is the smallest value in -6, o, u? -6 Let y = 13336/3 + -4445. Let m = -2 - -3. Which is the second smallest value? (a) -0.3 (b) m (c) 3/5 (d) y d Let w be 4*2/4 - 2. Let u = -376 - -532. Let g = u + -1406/9. Which is the biggest value? (a) -5/4 (b) g (c) w c Let s = -46 + 45.58. Let d = s + 0.12. Which is the second biggest value? (a) -0.5 (b) 1 (c) d c Let k be 1*((-84)/22 + 4). What is the smallest value in -0.06, k, -0.18? -0.18 Let c be (7/14)/((-2)/12). Let d = 4 - 2. Suppose 0 = 4*k, 10 = d*n - 3*k + 2*k. What is the third smallest value in n, 1, c? n Let d be 171/108*3 - 4. Which is the smallest value? (a) -5 (b) 16 (c) d a Suppose 2*t - 25 = 7*t. Let x = -8.1 + 7.1. Which is the second biggest value? (a) -4 (b) x (c) t a Let z = -1.86 + -0.04. Let k = -2 - z. Which is the third biggest value? (a) -11 (b) k (c) -2/13 a Let l = 2.814 + 0.186. Which is the second biggest value? (a) l (b) 4 (c) -0.06 a Suppose -3*v + 22 = 2*n, n - v + 34 = 5*n. Suppose n = -f - f. Let p = 2 - f. Which is the smallest value? (a) -1 (b) p (c) -0.3 a Let d = 0.232 + -0.472. Let s = d - 10.76. Suppose 6 = -z - 2*z, -2*w + 2*z + 6 = 0. What is the second smallest value in -1, w, s? -1 Let o = 1 - 0.8. Let v = 50 - 47. Suppose -v*y = -4*x - 0*x + 73, 2*x - 2*y - 36 = 0. Which is the second biggest value? (a) o (b) -1 (c) x a Let y be (-24)/(-6) + (1 + -5)/2. Which is the smallest value? (a) 4 (b) y (c) -0.2 (d) -11 d Let z = -0.5636 - -0.0636. What is the fourth smallest value in -2/3, z, -5, 2? 2 Let v = 0.19 + -0.09. Let w = v + 0.3. Let f = -0.56 - -0.16. Which is the second smallest value? (a) 3/7 (b) w (c) f b Let x = 48 + -47.6. Let d be ((-1)/4)/(4/(-16)). Which is the smallest value? (a) 4 (b) d (c) x c Let w(p) = -75*p - 1721. Let l be w(-23). Let g = -3 - -6. Which is the second biggest value? (a) -2 (b) 3/2 (c) g (d) l c Let s = -0.10481 - -0.00481. Let q be (6/8)/(5/4). What is the second biggest value in s, -16, q? s Let x = 7 - 2.9. Let g = x + -4. Let n = -5/4 + 27/28. What is the biggest value in -0.1, n, g? g Let y = 0 + 4. Let n be 94/(-14) + (-60)/(-2) + -23. What is the second biggest value in 5, n, y? y Let r be 114/(-190) - 2/30. Let w = 24 + -12. Let z be w/18 + (-2)/6. What is the third smallest value in z, r, 5? 5 Let b = -134 + 131. What is the third smallest value in 0, b, 0.6? 0.6 Let i(p) = 4*p - 1. Let x(b) = 5*b - 1. Let z(a) = 4*i(a) - 3*x(a). Let m be z(3). What is the third biggest value in 1/5, m, -2? -2 Let d = 1.99 - -0.01. Let u(m) = 2*m. Let r be u(2). Suppose 2*h - 5*h = s + 12, -16 = 5*h + 3*s. What is the second biggest value in r, d, h? d Let t = -737 + 738. Let k(z) = -z**2 + 4*z - 4. Let u be k(3). Which is the third smallest value? (a) -0.01 (b) 0 (c) t (d) u b Let w be -7 - -6*292/248. What is the biggest value in -5, w, -0.01? w Let k = 138 + -206. Let u = 66 + k. Which is the second smallest value? (a) 4 (b) u (c) 1/3 c Let p = 7079/12 - 590. Which is the fourth smallest value? (a) 2/9 (b) 2 (c) p (d) -3/4 b Suppose 8 = -x - 3*x, 3*o = -5*x - 31. What is the third biggest value in -5, o, 2/11? o Let r = -179.7 - -172. Let s = r - -7.8. What is the third smallest value in 1, s, -2? 1 Let o(g) = -45*g - 49*g + 91*g + 16. Let q be o(7). Let v be 4/6 - (-2)/(-1). Which is the smallest value? (a) 4 (b) v (c) q c Let y = -1.5 + 1.45. Let o = -0.05 - y. Which is the third smallest value? (a) -4 (b) -1/4 (c) o c Let f = 14 + -14. Let t = 132 - 132.1. Which is the smallest value? (a) t (b) f (c) 3 (d) -2 d Let s = -51.2 - -47. Let f = -4.09 - s. What is the biggest value in f, 0.5, -0.2? 0.5 Let u = -7/222 + 22/111. Let y(j) = j - 3. Let x be y(0). Which is the third smallest value? (a) -0.4 (b) x (c) -1 (d) u a Suppose -4*d + 441 = -2*b - 23, -5*b + d = 1160. Let o be 1 + 3 - b/(-60). What is the biggest value in -0.3, 2, -3, o? 2 Let i(j) = j**3 + 13*j**2 + 13*j + 12. Let v be i(-12). Suppose 4*p - 5*y - 16 = v, p + 3*y = -4 + 8. Which is the smallest value? (a) 1 (b) p (c) -2 c Let t = 0.5 - 1. Let w = t - -1. Let d = 1/7 - -3/28. Which is the second biggest value? (a) -4 (b) d (c) w b Let s = -478.2 + 478.6. Let b = 0.1 + 0.9. Let j = 1.1 - b. What is the second smallest value in -0.01, s, j? j Let y be (4/15)/((-1)/3). Let w = 67.9 - 68.2. What is the second smallest value in w, y, -1? y Let s = -18 - -10. Let y = 1 + s. Let x = -12 - y. What is the third smallest value in x, -0.2, 1/2? 1/2 Let d = 0.67 + -0.39. Let k = -5.28 + d. Let r(m) = -4*m**3 - m - 1. Let g be r(-1). Which is the smallest value? (a) g (b) 1/3 (c) k c Let y = -383 + 382. What is the third biggest value in -0.1, -3/2, y, 27? y Let v = 7.7 - 8. Let y = -203 + 2235/11. Let f = -25/44 - y. What is the smallest value in v, f, -5? -5 Let t = -0.41 - 30.59. Let j = -820 + 792. Let v = t - j. What is the third biggest value in v, 9, 2/3? v Let d be (-9 - -9) + 11 + -11. What is the third biggest value in 2/119, 2, d? d Let d = 6.34 + -4.34. What is the third smallest value in -1, d, 7/6? d Let h(r) = -r**3 + 11*r**2 - 7*r - 30. Let x be h(10). Let g = 2/23 - 27/46. Which is the third smallest value? (a) g (b) x (c) -4 (d) 5 b Let p = 109 + -547/5. Let u = -17.9 + -0.1. Let q = u - -17.7. Which is the third biggest value? (a) -15 (b) p (c) q a Let v = 181 - 63. Let i = v + -2004/17. What is the smallest value in 5, 2, i? i Let w = 2/183 + 112/915. Which is the third smallest value? (a) w (b) 2/5 (c) -14/5 b Let g = -16.81 - 0.19. Let k = -14 - g. Let f = 2 - 3. Which is the second smallest value? (a) k (b) f (c) 2 c Let c = 1007 + -5008/5. What is the second smallest value in 0.5, -2/5, c? 0.5 Let z = -0.02 + -0.06. Let j = z - 2.92. Let v(s) = -2*s**3 + 6*s**2 - 5*s + 1. Let w be v(2). Which is the biggest value? (a) j (b) -2 (c) w c Let q = -3996/17 + 235. Let r = -3 - -3.5. Which is the third biggest value? (a) -3/2 (b) r (c) q a Suppose -3*h - 26 + 17 = 0. Let u(i) = -3*i**2 - 7*i - 2. Let x be u(h). Let y be 4/x + (-10)/(-12). Which is the third biggest value? (a) -1/3 (b) y (c) 1/4 a Let x = -0.95 + 0.77. Let d = 0.27 - 0.95. Let w = x - d. Which is the third smallest value? (a) 6 (b) 2 (c) w a Let d =
{ "pile_set_name": "DM Mathematics" }
1). Let q(t) = 0 + l - 1 + t**2. What is q(-1)? 0 Let k(z) = z. Let p be (-14)/(-3) - 2/(-6). Suppose -p*l = -0 - 5. Give k(l). 1 Let b(h) be the third derivative of h**4/12 - 4*h**3/3 - 28*h**2. Calculate b(6). 4 Suppose 2 = d + k + 2*k, 4*d + 4*k = 8. Let y be -2 - 1/(d/(-10)). Suppose 1 = y*s + p, -s + 6*p + 11 = p. Let v(f) = -4*f + 1. Determine v(s). -3 Let h be ((-3)/(-12))/(98/24 - 4). Let k(v) be the third derivative of 0*v + 1/15*v**5 + 0 - 1/3*v**h - v**2 - 1/4*v**4 + 1/120*v**6. What is k(-5)? 3 Let p(c) = -4*c. Let x(r) = -9*r - 1. Let v(u) = 7*p(u) - 3*x(u). Let s(o) = -o - 2. Let d be s(2). Determine v(d). 7 Let n(k) be the second derivative of k**4/12 + 7*k**3/6 + 3*k**2 - 35*k. Give n(-7). 6 Suppose -5*t + 5*w = -65 + 25, -22 = -4*t - w. Let m(v) = -7*v - 4. Let y(o) = 20*o + 12. Let c(j) = t*y(j) + 17*m(j). Calculate c(-3). 1 Let v = -7/16 + 39/80. Let s(m) be the second derivative of 0*m**3 - 1/6*m**4 + m + v*m**5 - m**2 + 0. Calculate s(3). 7 Let g(w) = 4*w + 3. Let d = 7 - 13. Let b = 8 - 13. Let z(u) = -5*u - 2. Let p(v) = b*z(v) + d*g(v). Calculate p(4). -4 Let c(x) = x**2 - 6*x - 4. Let i(m) = -m**2 + 9*m + 6. Let v(r) = 7*c(r) + 5*i(r). Give v(-3). 11 Let b(t) = 0*t**2 + 0*t**3 - 2 - 4*t - t**2 - 3*t**2 + t**3. Let i be ((-4)/(-2))/2 - 0. Let h(p) = 5*p**2 + p - 1. Let l be h(i). Calculate b(l). 3 Let v(o) = -14*o**2 + 29*o - 29. Let i(d) = 5*d**2 - 10*d + 10. Let s(z) = -11*i(z) - 4*v(z). Determine s(4). -2 Let z(s) = -s**3 + 4*s**2. Suppose 9*m - 4*m = -50. Let c(f) = -f**2 - 10*f + 4. Let j be c(m). Give z(j). 0 Let z(q) = -q - 5. Let k(g) = 5*g + 26. Let w(v) = -2*k(v) - 11*z(v). Determine w(-6). -3 Let b(n) be the first derivative of -n**6/360 - 3*n**5/40 - n**4/8 + 4*n**3/3 + 3. Let h(f) be the third derivative of b(f). What is h(-8)? 5 Let d(y) be the first derivative of -2*y - y**2 + 1 + 1/3*y**3. Give d(3). 1 Let r(d) = 19*d**3 + 6*d**2 + 2*d + 1. Let z(h) = 37*h**3 + 11*h**2 + 4*h + 2. Let p(t) = 11*r(t) - 6*z(t). What is p(-1)? 14 Let v(t) = -2*t + 3. Let r be (-60)/18*(-9)/5. Suppose -4*f = -f - 4*i - 14, -4*i - r = f. What is v(f)? -1 Let n(h) be the first derivative of -h**4/2 + h**3 - 24. Suppose -5*k - 4*t = -k + 8, 0 = 3*k + 2*t + 2. Determine n(k). -4 Let t(r) be the first derivative of r**3/3 - r**2/2 - 11*r + 9. Calculate t(0). -11 Suppose 9 = -r + 4*r. Let y = r - 5. Let v(m) = -4*m - 1. Calculate v(y). 7 Let v be (-2)/(-9) + (-76)/18. Let a be v/3*(4 - 1). Let m(r) = -r**3 - 6*r**2 - 6*r - 2. What is m(a)? -10 Let c(z) = z + 1. Let w = 1 - -2. Let y = 0 - w. Calculate c(y). -2 Let v(n) be the first derivative of n**4/4 + 5*n**3/3 - 3*n**2/2 + 7*n - 34. Calculate v(-6). -11 Suppose -8 = 4*v + 4. Let q be v/(4/(-8) + 0). Let y(k) = 0*k + k + 0*k. Give y(q). 6 Let k(s) = -s**2 - 10*s - 5. Let y be k(-10). Let u(z) be the first derivative of z**4/4 + 5*z**3/3 + 3*z**2/2 + 7*z + 1. Calculate u(y). -8 Let w(h) be the second derivative of -h**8/960 + h**7/2520 - h**6/720 + h**5/120 + 3*h**4/4 + 2*h. Let y(b) be the third derivative of w(b). Determine y(1). -6 Let h(o) = o**2 + 4*o - 3. Suppose 0*q - 130 = 2*q. Let d be (-4)/(-6) + q/(-15). Suppose 0*p - 2*p = 2*w - 14, -d*p + 33 = 4*w. Calculate h(w). 9 Let d(u) = -2*u + 1. Let n(b) = -6*b + 3. Let m(l) = 4*d(l) - n(l). Calculate m(5). -9 Let q(j) = j**2 + 2. Let h = -3 - -3. Let i be q(h). Let k(f) = 7*f + 1 + 4*f**i - f**2 - 2*f**2. Determine k(-4). -11 Let n(m) = m**3 - 3*m**2 + 3*m. Let f be n(2). Let k(y) = -y**3 + 4*y**2 + 6*y - 3. Let i be k(5). Let z(r) = -i*r + 4*r - 8*r**2 + 9*r**2 + f. What is z(-2)? 2 Suppose 3*f - 17 = -2. Let d(j) be the first derivative of -j**2 + 7*j + 7. What is d(f)? -3 Suppose -11*i = -3*i + 48. Let r(f) = -f**2 - 3*f - 5. Let z(t) = -3*t**2 - 10*t - 16. Let v(b) = -8*r(b) + 3*z(b). What is v(i)? -8 Let p = 1 - 5. Let y = p - -5. Let j(z) = -2*z. Calculate j(y). -2 Let q(b) = b**2 + b. Let z(c) = -7*c**2 - 4*c + 1. Let d(h) = 4*q(h) + z(h). Determine d(1). -2 Let a = -2 + 4. Let g(k) = 4*k**2 + 0 - 3*k**2 + 0*k**a + 2. Give g(0). 2 Let t = 10 + -7. Suppose -9 = -3*s - t. Let r(y) = y**3 - y. Determine r(s). 6 Let l(m) = -5*m + 9. Let i(q) = 6*q - 9. Suppose -4*o + 5*h - 41 = 0, -2*o + 2 = -0*h + 2*h. Let d(f) = o*i(f) - 5*l(f). Determine d(4). -5 Let u(a) = -7 - 5*a - 3*a + 10*a. Give u(6). 5 Let v = 1 - -1. Let y(k) = -2 + 4*k**3 + 3 + 1 + v*k - 2*k**3 + 3*k**2. What is y(-2)? -6 Let z(k) be the second derivative of -2*k - 1/120*k**6 + 1/2*k**3 - k**2 - 1/30*k**5 + 0 + 1/12*k**4. Let d(q) be the first derivative of z(q). Calculate d(-2). -1 Let f(s) = -4*s - s + 8*s**3 - 7*s**3 + 6*s**2 + 6. Give f(-7). -8 Let y(z) = -z**2 - 3*z - 7. Suppose 5 = -5*s - 5. Let b(h) be the third derivative of -h**5/60 + h**4/24 - h**3/6 - 9*h**2. Let i(x) = s*b(x) + y(x). Give i(6). 1 Let g(x) = -6*x. Let i be g(-1). Let q(z) = z. Let s(y) = 8 + 6 + 14*y - 6*y - 7. Let j(o) = i*q(o) - s(o). Give j(-5). 3 Suppose -6*x + 3*x - 12 = 0. Let m(t) = -t**2 - 4*t + 4. Determine m(x). 4 Suppose 4*g + 25 = 3*z, -3*g - 5*z + 2 = -1. Let m(a) = -a**2 - 6*a - 5. Give m(g). 3 Suppose -5*l + 74 = -l + 2*f, l = -5*f - 4. Let z(n) = 17*n - 2*n**3 + 5*n**2 + n**3 - l*n + 7. Determine z(5). -13 Let b(z) = -z. Let i(c) = c**2 - 3*c - 2. Let m be i(4). Suppose m*w = -2 - 8. Calculate b(w). 5 Suppose 12 + 3 = 5*u. Let w = u - 5. Let t(h) = h**2 + h + 1. What is t(w)? 3 Let s(v) be the third derivative of -v**4/6 - 5*v**3/6 - 25*v**2. Determine s(-5). 15 Let j(m) = -m**3 - 3*m**2 + 3*m + 1. Let h = -2 - 2. Calculate j(h). 5 Let w(j) be the first derivative of 2 + 1/3*j**3 + 5*j + 2*j**2. Calculate w(-4). 5 Let y(v) = 2*v. Suppose -3 - 9 = 2*a. Let m(n) = -n**3 - 7*n**2 - 6*n + 4. Let z be m(a). Determine y(z). 8 Let n(r) be the second derivative of -r**3/6 + 3*r**2/2 + 11*r. What is n(0)? 3 Let q(v) be the first derivative of -v**4/12 + 5*v**3/6 - 3*v**2/2 - 3*v - 6. Let f(y) be the first derivative of q(y). What is f(6)? -9 Let a be -1 - (-4 + 1 + -4). Let p(c) be the second derivative of -c**3/6 + 4*c**2 + 3*c. What is p(a)? 2 Suppose -2*p + 3*p - 2 = 0. Suppose 0 = -t + 4 - p. Suppose b = -2*y - t + 9, 5*y = 3*b + 12. Let h(o) = o**3 + o**2 - o. Calculate h(b). 1 Let n = -2 - 1. Let k be (-4)/6*(0 - n). Let d(f) be the third derivative of f**6/120 + f**5/30 - f**3/3 + 4*f**2. Determine d(k). -2 Let r(i) = 4*i**3 + 8*i**2 - i + 19. Let v(p) = -p**3 - 3*p**2 - 6. Let w(s) = -2*r(s) - 7*v(s). Give w(5). 14 Let w(c) be the second derivative of 3/2*c**2 + 0 - 2*c + 1/6*c**3. Suppose -r - 2 - 2 = 0. Give w(r). -1 Let r(f) be the first derivative of f**4/4 + f**3/3 - 5*f**2/2 - 3*f + 1. Suppose -3*o - w = 13, -o - 5*w - 11 = -3*w. What is r(o)? -6 Let s(m) be the second derivative of m**5/120 + m**4/6 + m**3/3 + m. Let u(a) be the second derivative of s(a). Determine u(-4). 0 Let q = -5 - 5. Let g(u) = -u**2 - 10*u - 1. Let r be g(q). Let y(p) = -3*p**3 - 2*p**2 - 2*p - 1. Determine y(r). 2 Let f(m) be the second derivative of 6*m + 0 - 3*m**2 - 7/6*m**3 - 1/12*m**4. What is f(-6)? 0 Suppose 15 = -9*u + 6*u. Let j(h) = -h**3 - 6*h**2 + 7. Determine j(u). -18 Suppose -2*p - 8 = 5*m, 5*m = 3*m - 3*p - 12. Let f be (3/(-9))/(1/(-12)). Let i(d) = -f + m + 2*d - d. Determine i(-3). -7 Suppose 2 = -2*x + 6*x - 2*p, 0 = -x - 3*p - 10. Let y(i) = -8*i - 1. Let t(a) = 8*a + 1. Let d(l) = 2*t(l) + 3*y(l). What is d(x)? 7 Let f(c) be the first derivative of c**3/6 + 2*c - 3. Let h(a) be the first derivative of f(a). Let i = 3 + -4. Calculate h(i). -1 Let m(f) = f**2 + 6*f + 2. Let c be (-2)/(-18)*6*-6. What is m(c)? -6 Let i(y) = -y**3 - 5*y**2 - 3*y + 3. Let q(w) = w**3 + 45. Let h be (-3)/(-12) + (-2)/8. Let n be q(h). Let g be (-4)/(-18) + (-190)/n. Determine i(g). -1 Suppose -3*k = -k - 2. Let t(l) = 2*l + 0 + 0 - 6 + k. What is t(6)? 7 Suppose 11*k - 6*k = 75. Let c = 18 - k. Let r(a) = -a + 1. Calculate r(c). -2 Let x(n) = -9*n + 2. Let b(h) = -9*h + 3. Let k(d) = 3*b(d) - 4*x(d). Determine k(-1). -8 Let l(d) = -3*d**3 - 2*d + 1. Let j = 3 - 5. Let a be 1/(0 - j/2). Calculate l(a). -4 Let o(t) = 5 + 1 - t + t**3 - t**3 - t**3 + t**2. What is o(0)? 6 Suppose -3*c - 3*c = 36. Let i(k) = -k**2 - 5*k - 5. Calculate i(c). -11 Let p(g) = -7*g**3 + 6*g**2 - 11*g - 3. Let
{ "pile_set_name": "DM Mathematics" }
d give k. 1 Express 2*y**2 - 4*y**2 - 27*y**4 - 2 + 25*y**4 in the form h*y**2 + c*y**3 + q*y + b + g*y**4 and give g. -2 Express (43*y**2 - 43*y**2 + 6*y**3)*(2*y + 3 - 3) in the form r*y**2 + s + b*y**3 + w*y + d*y**4 and give b. 0 Rearrange 0*b + 27 + 9 + b to the form w + z*b and give z. 1 Express -3*k - k**2 + 2*k**2 + 5*k - 5 - 3*k**2 - 3*k**3 as g*k + o + x*k**3 + s*k**2 and give s. -2 Express -10*n + n + 0*n + (n + n + 0*n)*(-2 + 2 - 1) as b + v*n and give v. -11 Rearrange -1 - 7 - 17*m + 6 to p*m + g and give g. -2 Express -18 + x**3 + x**2 - 14 + 3*x**3 + 31 + 2*x + 3*x**4 in the form c*x + y + u*x**2 + t*x**3 + l*x**4 and give l. 3 Rearrange k - 4*k**4 + 2*k**4 + 4*k**4 + k**4 + 1 - 1 + (2*k**3 - k**3 + k**3)*(-6*k + 3*k + 2*k) to the form t*k + f*k**4 + b + c*k**2 + z*k**3 and give f. 1 Rearrange (3 - 2 + 2)*(0*q + 0*q + 2*q) + 12*q - 24*q - 11 + 14*q to the form p*q + r and give r. -11 Express 2*h - h - h**4 + 0*h**4 - 3*h**3 + 26*h**3 in the form n + p*h + g*h**3 + s*h**4 + f*h**2 and give p. 1 Rearrange (2*j**2 + 10*j**2 - 7*j**2)*(5 - 4 + 0) to h*j + l*j**2 + q and give l. 5 Rearrange (-2 + 2 - 2*b)*(7*b**3 + 4*b**3 + 2*b**3) - 5*b**4 - 13*b**2 + 13*b**2 to the form j*b**2 + o*b**4 + s*b + m*b**3 + q and give o. -31 Express -31*i**3 + 0*i**4 + 3*i**4 + 32*i**3 - 2*i**2 - 5*i in the form h + j*i + m*i**3 + y*i**2 + t*i**4 and give t. 3 Rearrange -368*v**2 + 184*v**2 + 183*v**2 - 69 to the form d*v + z*v**2 + o and give d. 0 Express (2*d + 2*d - 3*d)*(2*d + d + 0*d)*(4 - 3 - 2)*(-7 + 10*d + 7) as i*d + r*d**3 + m + j*d**2 and give r. -30 Rearrange 12*a + 3 + a**2 - 13*a + 10 to the form k + t*a + u*a**2 and give t. -1 Express (11*p**2 + 42 - 6*p**2 - 49)*(0 - p + 0)*(0*p + 3*p - 4*p) in the form b*p + a*p**3 + r*p**4 + v + k*p**2 and give k. -7 Rearrange 12*d**2 - 4*d**2 + 2*d**2 + 0 + 2 to the form c + i*d + p*d**2 and give p. 10 Express 0*s**4 + 10*s + 2*s**2 - 11*s + s**3 - s**2 + 4*s**4 in the form f*s**4 + c*s + q*s**3 + x + y*s**2 and give q. 1 Rearrange (2*l**2 + 2*l**3 - 2*l**2)*(-1 - 6 - 2)*(8 - 2*l - 8) to f + g*l**4 + t*l + i*l**3 + u*l**2 and give g. 36 Express (-1 - 1 - 1)*(-1 + 1 + 1)*(2*y + 4*y - 4*y) - 10 + 10 - 6*y in the form f*y + b and give b. 0 Rearrange (0*u - 2*u**2 + 0*u)*(-2*u**2 - 18*u**2 - 38*u**2) to the form t*u**3 + i*u**4 + p*u**2 + q*u + r and give p. 0 Express (5*s - s - 3*s)*(-8 - 6 - 95) as f + u*s and give u. -109 Rearrange -17*q + 6*q - 15*q to w*q + u and give w. -26 Rearrange 4*y**3 + 7 - 6 + 6*y**3 to k*y**3 + o + j*y**2 + b*y and give b. 0 Rearrange -5 - 481*y**3 + 2 + 478*y**3 - 7*y to h*y**3 + i*y + f*y**2 + a and give a. -3 Rearrange (-2 - 2*h + 0 + 8)*(h**2 + 2*h**2 - h**2) to u*h + p*h**2 + j*h**3 + r and give j. -4 Express 0*c + 2*c - 7*c**4 - c**3 + 9*c**4 - 2*c**3 in the form q*c**4 + v + r*c + j*c**2 + d*c**3 and give d. -3 Express 2*f - 3 + 7 + 5 + 2*f in the form g*f + m and give g. 4 Express 1 - 2*z + z - z + (1 + 1 + 0)*(-4*z + 2*z - 7*z) in the form y*z + k and give y. -20 Express -34*t**3 + 108*t**3 + 31*t**3 + (-5*t + 5*t + t**2)*(-3 + 3 - 2*t) as r*t**3 + s*t**2 + o*t + v and give r. 103 Express -20*u + u - 2*u as i + o*u and give o. -21 Express 7*x**2 + 6*x**2 + 24*x**2 as d*x**2 + a + r*x and give d. 37 Rearrange l**4 - 3*l - l**3 - 2*l**2 + l**3 to the form k*l**3 + n*l**2 + f + t*l**4 + d*l and give n. -2 Express -3*v**3 - 3*v**4 + 7*v**4 - 3*v**4 + 2*v - 7*v**2 + 8*v**2 as p*v**2 + c*v**3 + i + g*v + d*v**4 and give c. -3 Rearrange -12 - 2*s**2 - 10*s**2 + 11 to m*s**2 + n*s + f and give m. -12 Express -28*s**2 - 28*s**2 - 9*s**2 as o*s**2 + f + x*s and give o. -65 Express -1 - 11*u - 9*u + 3*u - 2*u as d*u + c and give d. -19 Express (2 + 42*t - 38*t + 4*t**3 + 1 + t**2)*(t - 3 + 3) in the form c*t**3 + w*t**2 + n*t**4 + j*t + q and give w. 4 Express -3*l - 2*l**4 + 3*l + 0 + 0 + 4*l**4 + (-1 - 1 + 4)*(-4*l**4 + 3*l**4 + 2*l**4) as a*l + h*l**3 + o + w*l**4 + b*l**2 and give w. 4 Express 8*z**2 - 4*z**2 + 0*z**2 + (-7*z + 3*z + 3*z)*(4*z - 12*z - 6*z) in the form a*z**2 + l*z + q and give a. 18 Rearrange (-1 + 0 + 0)*(-27*s**2 + 9*s + 36*s + 28*s**2) to the form d*s**2 + j + w*s and give j. 0 Express -26*c + c - 4*c as d*c + a and give d. -29 Express (3 - 1 + 0 - x**3)*(-13 + 9 - 13) as a*x**2 + i*x + v + o*x**3 and give v. -34 Rearrange -14*u + 6*u - 37*u to t + s*u and give s. -45 Rearrange 0 + 13*t**2 + 2 - 2 to p*t + u + m*t**2 and give m. 13 Rearrange 0*m**3 + 3*m - m**3 + 4*m to a*m + o*m**2 + u*m**3 + l and give a. 7 Express (0*q**2 - 4*q**2 + 5*q**2)*(-6*q - 7*q + 4*q)*(2 + 1 - 4) in the form p*q + v + k*q**3 + i*q**2 and give k. 9 Rearrange (-12 - 66 - 32)*(3*o - 4*o - o) to the form s + n*o and give n. 220 Express 4*q**4 + q**4 + 0*q**4 + (-2*q - 1 + 4 - 2)*(5*q**3 + 4*q**2 - 4*q**2) in the form b*q**2 + d*q**4 + f*q + y + u*q**3 and give d. -5 Rearrange (-2*t**2 - 3*t**2 + 7*t**2)*(t + 2*t - 5*t) - 67*t**3 + 194 - 194 to m + a*t**2 + z*t**3 + j*t and give z. -71 Rearrange -2 + 5*m + 2 + (3 + m - 3)*(2 - 2 - 1) + (5 + 2*m - 5)*(2 - 2 + 3) to g*m + s and give g. 10 Express -60 + 60 + 52*g - 10*g as v + c*g and give c. 42 Express v**3 - 4*v - 2*v**2 + 4*v**4 - 3*v + 2*v + 1 + 3*v as o*v**3 + i*v**2 + x*v**4 + c*v + n and give c. -2 Express 5*k + 8*k + 2*k as j*k + z and give j. 15 Express (-20*v + 20*v + 1 - 3*v**2)*(-4*v + 7*v + 2*v) in the form r*v + o*v**3 + l + t*v**2 and give o. -15 Express -14*o - 123*o + 28*o in the form c*o + r and give c. -109 Rearrange -d**2 + 0*d**2 + d**2 - d**2 - 7*d to w + m*d**2 + k*d and give k. -7 Express 12*n**2 + 3*n - 18*n**2 - 4*n + 12*n**2 as c*n**2 + k + d*n and give d. -1 Rearrange -7*j + 21*j**2 - 6*j + 11*j to t + o*j + y*j**2 and give o. -2 Rearrange -135 - l + 135 + 3*l**2 + 2*l to the form y + m*l + c*l**2 and give m. 1 Rearrange (-2 - 1 + 5)*(68*y**2 + 956 - 956) - 2 + 2 + 5*y**2 to b + z*y**2 + h*y and give z. 141 Rearrange 2*t - t**3 + 12*t**3 - 2*t**2 - 2*t to the form b*t + w + l*t**2 + g*t**3 and give l. -2 Express 2 + 7 - 9 - 164*f as c + o*f and give c. 0 Rearrange (-2*v + v + 3*v + 1)*(-v - 3 - 8*v + 8*v) to the form b*v + n + h*v**2 and give n. -3 Rearrange b**2 - 3 - 6 - 10 - 3*b**2 to the form p + a*b**2 + f*b and give a. -2 Rearrange 2*o + 2*o**3 - 4*o**4 + 8 + 3*o**4 - 6 to n + c*o + d*o**3 + j*o**2 + b*o**4 and give n. 2 Rearrange (0*q**2 - 3*q**2 + q**2)*(-3*q**2 + 3*q**2 - q**2) + (17 - q - 17)*(3*q + 4*q**3 - 3*q) to the form m*q**2 + c*q**3 + l + f*q**4 + k*q and give m. 0 Rearrange -2*x - x + 17*x**2 - 6*x**2 to k*x + n*x**2 + m and give k. -3 Rearrange (143*r**2 - 143*r**2 - 7*r**3)*(3*r - 2*r + 0*r)*(-2 + 0 + 0) to the form x + w*r**3 + h*r**4 + y*r + l*r**2 and give h. 14 Rearrange (r - 3*r - r)*(-4*r - 11*r + 0*r)*(r + 2 - 2) to v*r**2 + f*r + n*r**3 + k and give n. 45 Express 22*f**2 + 0 + 0 + 0 in the form c + j*f**2 + y*f and give y. 0 Rearrange -51*d + 2*d**2 + 16*d**3 + 46*d - 2*d**2 to the form j*d**3 + m*d + i*d**2 + x and give m. -5 Express (1 - 1 - 2*u + 3*u + 2*u - 3*u + (-4*u + 2*u + u)*(-2 - 4 + 4))*(35 + 11 + 4)*(-3*u + 6*u - u) as y*u + n + r*u**2 and give r. 200 Rearrange -5*m**2 - 9*m**2 - 8*m**2 to the form b + n*m**2 + t*m and give n. -22 Rearrange -1 - 1 + 5 - 4 - n**2 to the form d + i*n + g*n**2 and give d. -1 Rearrange 5*b**2 - 40*b + 3*b**3 + 39*b - 2*b**3 to k*b + f*b**3 + u*b**2 + g and give u. 5 Express (4*y - y - y)*(-y + 0*y + 6*y) as i*y + w*y**2 + l and give w. 10 Express (1 - r - 1)*(17*r**2 - 8 - 12 + 21) in the form n*r**2 + y*r**3 + i + g*r and give y. -17 Rearrange 8*h**3 - 4*h**3 + 4*h - 8*h**3 to a + i*h**3 + c*h**2 + b*h and give b. 4 Express (-94 - u + 94)*(2 + 0 + 1) as y*u + x and give y. -3 Rearrange -2*g**4 - 3*g**3 + 0*g**4 + 3*g**4 - g**2 + 0*g**3 to the form f*g + b*g**3 + o*g**2 + y*g**4 + u and give o. -1 Express -6*n + 6*n**2 - 7*n**2 + 4*n**2 - n**2 as i*n + s + t*n**2 and give t. 2 Rearrange 0 + s**3 - 2*s**2 - 3 + 2 to b + i*s + d*s**2 + o*s**3 and give i. 0 Express -2*y - 6*y + 0*y + (0*y - 2*y + y)*(-1 - 1 + 0) in the form l + h*y and give h. -6 Express ((-1 + 0 + 2)*(2*f**2 - 3*f**2 + 2*f**2) + 5*f**2 + f**2 - 2*f**2)*(2*f - f + 0*f) in the form z + c*f**3 + v*f + l*f**2 and give c. 5 Rearrange 45*o**4 + 2 - 3 + 38*o**4 + 15*o**3 -
{ "pile_set_name": "DM Mathematics" }
5 and -76/597? 223875 Calculate the common denominator of 83/42056 and -187/420. 630840 Calculate the least common multiple of 348 and 3712. 11136 Calculate the least common multiple of 15364 and 1104. 184368 Calculate the smallest common multiple of 153 and 28526. 256734 What is the lowest common multiple of 63228 and 40? 632280 Find the common denominator of 1/4230 and -103/35250. 105750 Calculate the common denominator of 13/5734 and 91/34404. 34404 Calculate the common denominator of 29/9108 and 57/100. 227700 What is the common denominator of -137/231390 and -1/15426? 231390 What is the least common multiple of 6864 and 13728? 13728 Find the common denominator of -101/190 and -23/12388. 61940 Calculate the common denominator of 49/24215 and 45/74. 1791910 What is the least common multiple of 68673 and 1848? 3845688 Calculate the lowest common multiple of 44 and 1740. 19140 Find the common denominator of 109/60 and 2/899139. 17982780 Calculate the common denominator of 19/366 and -24/164639. 987834 What is the common denominator of 83/890024 and -59/64? 7120192 Calculate the smallest common multiple of 924 and 10032. 70224 Calculate the common denominator of 11/7314 and -143/204. 248676 Find the common denominator of 71/159 and 151/492. 26076 Calculate the least common multiple of 353220 and 15. 353220 What is the smallest common multiple of 2103 and 288? 201888 Calculate the smallest common multiple of 2100 and 2475. 69300 What is the least common multiple of 24 and 2080? 6240 What is the common denominator of 27/127790 and -131/76674? 383370 What is the common denominator of -173/2021520 and 59/168460? 2021520 What is the common denominator of -169/56220 and 29/16? 224880 What is the common denominator of -34/10755 and -103/630960? 1892880 What is the common denominator of -19/2132 and -103/66994? 1741844 Calculate the common denominator of 81/5984 and -101/5984. 5984 Calculate the lowest common multiple of 2 and 1416230. 1416230 Find the common denominator of 5/168 and 27/28916. 1214472 What is the lowest common multiple of 1745982 and 16? 13967856 Find the common denominator of 107/58572 and 70/123. 2401452 Find the common denominator of -91/16 and -67/29432. 58864 Calculate the lowest common multiple of 54 and 102858. 925722 Find the common denominator of 89/139954 and 59/254. 139954 Find the common denominator of 75/2674 and -45/31324. 219268 What is the lowest common multiple of 1040 and 2134210? 17073680 Calculate the least common multiple of 50 and 294905. 2949050 Calculate the common denominator of -82/4515 and 131/140. 18060 Calculate the common denominator of -17/112 and 41/976. 6832 What is the common denominator of -34/3857 and -39/199462? 1396234 Calculate the lowest common multiple of 280847 and 583. 3089317 What is the smallest common multiple of 232067 and 168776? 1856536 Calculate the common denominator of -115/21186 and 73/21186. 21186 Calculate the smallest common multiple of 39 and 146184. 1900392 What is the common denominator of 33/15182 and -63/10? 75910 Calculate the common denominator of 97/3212 and 39/3212. 3212 What is the least common multiple of 6 and 552208? 1656624 What is the common denominator of -67/14 and 85/198324? 198324 Find the common denominator of 41/403944 and -59/555423. 4443384 What is the common denominator of -187/90 and -59/358332? 5374980 What is the common denominator of -1/36 and 19/66360? 199080 Calculate the common denominator of -70/58353 and -59/24. 466824 What is the lowest common multiple of 214672 and 8? 214672 Calculate the common denominator of -169/36330 and -91/4152. 145320 What is the lowest common multiple of 249 and 6059? 18177 What is the least common multiple of 99507 and 630211? 1890633 Calculate the smallest common multiple of 1152 and 384. 1152 Calculate the lowest common multiple of 16 and 3433592. 6867184 Find the common denominator of -107/186102 and 19/16. 1488816 Find the common denominator of 58/33 and -151/1074324. 11817564 What is the least common multiple of 4136 and 3760? 41360 Find the common denominator of 23/33904 and 55/8. 33904 What is the smallest common multiple of 69834 and 2034? 209502 What is the least common multiple of 53925 and 1200? 862800 Find the common denominator of -52/995 and -93/8. 7960 What is the common denominator of -26/6585 and 113/28974? 144870 Find the common denominator of 62/87687 and 49/9. 87687 What is the lowest common multiple of 7 and 1113455? 1113455 Find the common denominator of -87/1990 and 117/580. 115420 Calculate the smallest common multiple of 99 and 38049. 114147 Calculate the lowest common multiple of 3354 and 446082. 446082 Find the common denominator of -48/451 and 67/540134. 5941474 What is the least common multiple of 84 and 19950? 39900 What is the common denominator of 93/2 and 53/8132? 8132 Calculate the common denominator of -28/58533 and 31/327. 58533 Find the common denominator of -181/286650 and -197/122850. 859950 What is the lowest common multiple of 231324 and 552? 10640904 Find the common denominator of -51/2947675 and 37/3004. 11790700 What is the common denominator of 29/48 and -91/848712? 1697424 Calculate the common denominator of -41/933952 and 11/36. 8405568 Calculate the smallest common multiple of 81040 and 20. 81040 Find the common denominator of 25/432 and -67/2592. 2592 What is the common denominator of 40/583893 and 40/51? 9926181 Find the common denominator of 133/10440 and -7/35235. 281880 Calculate the smallest common multiple of 150 and 123375. 246750 Calculate the common denominator of 65/202074 and -41/707259. 1414518 Find the common denominator of -143/636 and 17/12456. 660168 Find the common denominator of -53/21976 and 32/123615. 988920 What is the common denominator of -55/568 and -52/90241? 721928 What is the lowest common multiple of 128 and 17540? 561280 Calculate the least common multiple of 84 and 156. 1092 Calculate the least common multiple of 1000 and 15400. 77000 What is the common denominator of -67/12476 and 26/9357? 37428 What is the common denominator of 89/759100 and -127/986830? 9868300 Calculate the common denominator of 95/11352 and 59/1548. 34056 What is the lowest common multiple of 50978 and 14? 356846 What is the common denominator of 149/518736 and -11/303? 518736 Calculate the common denominator of -17/31570 and 13/254. 4009390 What is the common denominator of 127/260 and -29/170? 4420 Calculate the common denominator of -53/42 and 12/166789. 1000734 What is the lowest common multiple of 17886 and 80487? 160974 What is the common denominator of 89/64 and -43/12206? 390592 Calculate the least common multiple of 137848 and 424. 7305944 What is the common denominator of -11/18420 and 27/20? 18420 What is the common denominator of -73/18915 and -173/90? 113490 What is the common denominator of 107/1316 and 101/2632? 2632 What is the least common multiple of 27384 and 672? 109536 Calculate the common denominator of -77/7950 and -23/55120. 826800 Find the common denominator of 101/59512 and 49/3806. 654632 Calculate the lowest common multiple of 24 and 29964. 59928 Find the common denominator of -65/19544 and 19/140. 97720 What is the lowest common multiple of 3171 and 9? 9513 What is the common denominator of -29/34592 and -59/3680? 172960 What is the smallest common multiple of 63 and 639? 4473 Find the common denominator of -51/1526 and -121/476. 51884 What is the common denominator of 51/86 and 49/14233? 28466 What is the common denominator of -71/221808 and -75/591488? 1774464 Calculate the common denominator of 37/37140 and 181/300. 185700 What is the lowest common multiple of 3726 and 18216? 163944 Calculate the smallest common multiple of 156 and 58838. 353028 Calculate the common denominator of -59/51400 and 89/1657650. 6630600 Calculate the common denominator of 43/31 and -24/5863. 181753 What is the smallest common multiple of 207141 and 414282? 414282 Find the common denominator of 101/13125 and -107/5250. 26250 What is the least common multiple of 17175 and 3435? 17175 What is the common denominator of 24/217 and 103/59148? 414036 Find the common denominator of -47/66 and 101/75812. 227436 Calculate the common denominator of -62/297 and -29/150
{ "pile_set_name": "DM Mathematics" }
5 - (6 - -2) - (-2 + -28 - -6). 21 3 + (0 - -3) + -1 + -26 + 7 -14 Calculate 1 - (-3 + 4) - (-3 + -2 + 0). 5 What is 4 - (-8 + 0 - -7 - -7)? -2 What is 4 - ((-31 - -1) + (-234 - -255))? 13 What is (3 - 16) + -5 + 9 + (-3 - -8)? -4 Calculate 18 + -33 + 21 + -13. -7 2 - -2 - (-9 + (26 - 8) - 8) 3 What is the value of (-8 + 1 - (-41 - -40)) + 14? 8 What is -18 - (0 + -3) - (-91 - -83)? -7 Evaluate (0 - (-1 + 2) - -5) + (-3554 - -3551). 1 Evaluate (11 + -15 - -7) + -11. -8 26 - (-18 - (-26 - 14)) 4 Calculate 6 - 17 - (0 + (-5 - -10)). -16 12 - (40 - (2 - -13)) -13 Calculate (8 - 4) + 2 + -2 + -3 + -14. -13 Calculate 1 + (1 + 1 - -1) + (0 - 1). 3 What is the value of 1 + 1 + (-8 + -6 - -7) + 17? 12 Evaluate 44 + (44 - (2 - -89)). -3 Evaluate -5 - (1 + 2 + (-5 - 19)). 16 Evaluate -1 - 5 - (-10 + 22 - 6). -12 What is (27 - -8) + -36 + -9? -10 Calculate (12 - 9) + (-14 + 7 - 7). -11 0 + (-1 - (3 + 2 + -3) - 1) -4 What is the value of (-13 - -15) + 26 - 25? 3 3 - 14 - (-85 + 72) 2 Calculate -23 - -1 - (-6 - -25 - 29). -12 Calculate -1 - -10 - ((49 - 18) + -35). 13 Evaluate 1 - -5 - ((2 - -12) + -9). 1 Evaluate 20 - ((47 - 44) + (6 - -1)). 10 What is the value of 12 - (17 + (-5 - 3))? 3 What is the value of (-9 - (-13 + 9 + 2)) + -2? -9 Evaluate -303 + 294 + (1 - 6). -14 What is the value of 13 + (-21 - -13 - -4)? 9 What is 1 + 5 + 79 + -79 + 5? 11 What is the value of -11 - (15 - 13 - (1 + 3 - 5))? -14 15 + -1 - (-3 - -6) 11 What is -347 + 362 + 1 + -11? 5 What is the value of (45 + -54 - (-25 + 1)) + -7? 8 Evaluate (-10 + 12 - 11) + 0 + -2. -11 Calculate 11 - (4 - (-37 + 35) - (20 + 0)). 25 17 - (-2 - -7 - (-2 - -2)) 12 What is the value of (-41 - -14) + -19 + 10? -36 5 + -3 + 1 + (-3 - 11) - -4 -7 What is the value of (-4 - 0) + (-267 - -263)? -8 -18 - (-4 + 29 - (106 - 96)) -33 -10 + (32 + -2 - (-23 + 31)) 12 Evaluate 59 + (2 - 51) + -9. 1 What is 31 - (-10 - -6 - -22)? 13 What is the value of (-9 - -5 - 15 - -10 - -5) + -15? -19 Calculate 1 + 10 + -22 - (-4 - (3 + -2)). -6 Calculate -14 - -13 - (-11 + 11). -1 What is the value of -6 - (14 - (7 - -4))? -9 What is -2 - (-9 + 2 + 7 + 6)? -8 What is the value of -147 - -127 - (0 - 2)? -18 Evaluate 6 - (0 + -6 + 19 + -1 + 7). -13 Evaluate (9 - 17) + (-8 + -6 - -6). -16 Calculate 17 - (24 + -41 - (-3 + -2)). 29 Calculate (-2 - -2) + (-227 - -225). -2 Evaluate -31 - (0 + -8) - (-23 - -14). -14 -14 + (2 - 2) - (456 - 464) -6 What is the value of (-7 + 5 - -10) + 8 + -9 - 0? 7 Evaluate -6 + 14 + -1 + 1 + (-10 - 2). -4 Evaluate (-8 - -8 - 1) + 6 - 10. -5 What is the value of -2 + 4 + (-3 - (-19 - -12))? 6 Calculate 1 - 26 - (0 + -1 - (145 - 142)). -21 What is the value of -2 + 14 + 14 + -21? 5 What is the value of (-8 - -3) + 4 + (-2 - 8)? -11 3 + 0 + (5 + 4 - 16) -4 Calculate (-18 - -6) + -6 - -2. -16 0 - ((28 - 22) + (-2 - 7)) 3 55 + -20 + -22 + -9 4 Evaluate 1154 - 1179 - (-1 - -5). -29 Evaluate -4 - (-22 - -1) - (-9 + 5 + 4). 17 What is 33 + (0 + 1 - (-22 + 54 - 33))? 35 What is the value of -4 + (-13 - 2 - -20 - 10)? -9 Evaluate 12 + (-28 - 7) + 21. -2 (-6 - (-2 - -11)) + 7 - (-1 - -1) -8 Calculate 4 + (33 + -31 - (8 - 1)) - 4. -5 Calculate -37 + 14 - (-20 + 5 - -16). -24 What is -3 + -3 + 12 + -6 + (3 - -14)? 17 42 + -60 + 36 - 18 0 Calculate -16 + -6 + 7 + 26. 11 Evaluate -7 + 0 + (-15 - -14). -8 Evaluate 0 + -17 + 24 + -3. 4 What is the value of 3 + -4 + -37 + 37? -1 Calculate -22 - -23 - (-6 - -20). -13 What is -91 + 93 + (-3 + 3 - (-1 + -3))? 6 What is the value of (7 - 12) + (8 - 3)? 0 What is the value of (3 - 6 - (4 - (1 + 6))) + -5? -5 -34 + -2 - (-606 + 580) -10 Calculate -6 + 1 + 7 + 5 + -9. -2 (4 - 2) + (1 - 0) - (-21 - -37) -13 What is (13 + -13 - -9) + 6? 15 Evaluate 5 - -12 - -5 - 11. 11 Calculate 7 - ((-9 + 9 - -7) + -11). 11 6 - (35 - 37 - (-1 - 1 - -5)) 11 Calculate (0 + -11 - -19 - 15) + 13 + -1. 5 What is 0 + -9 - (-7 + 1 + (14 - 20))? 3 (-32 + (-14 - -11) - -9) + -4 -30 Evaluate (-8 + 18 - 17) + -5. -12 What is the value of -20 + 0 + (112 - -43) + -111? 24 What is the value of (2 - -17) + (2 - 22)? -1 What is -30 - (9 + (7 - 21))? -25 Calculate (13 - (5 - (-2 - -19))) + -3. 22 Calculate -4 - (-20 + 18) - (-17 + (-2 - -1)). 16 What is the value of -16 + 8 + 6 + -2 + -2 + -4? -10 Calculate -17 + (-14 - -24) + (-11 - -2 - -2). -14 4 - 10 - (-7 + 5 + (1 - -3)) -8 What is 34 - 35 - (-10 + 19)? -10 Calculate 0 + -12 + (33 + -37 - -5). -11 -5 + (19 - -8) + -11 11 Calculate -10 - (16 - 9 - 4). -13 Calculate (5 + 4 + -19 - 6) + -2. -18 13 + -8 - 7 - (-9 + 7 + 1) -1 Calculate 20 + -26 + 47 + -18. 23 Calculate (33 - 6) + -23 + -1 + 13. 16 26 + -22 + (6 - 33) -23 What is 5 - (-3 - 5 - (8 + -7))? 14 What is (4 - 3) + 6 + (4 - 14 - -19)? 16 Evaluate -14 + (13 - 22) + 20. -3 What is 1 + -8 - (-19 - (28 + -36))? 4 What is 8 + (1 - 15) + 2 + 6? 2 Evaluate 10 + -55 + 11 + 27. -7 What is 7 + (158 - 162) + (-2 - -1)? 2 What is the value of -9 + -1 - (-2 + -6 + 18 - 2)? -18 Evaluate 84 + -55 - (4 + 13). 12 10 + (-11 + 4 - 1) 2 Calculate 7 + -3 + (-9 - (-8 + 5 - 0)). -2 -13 + (-21 - -54) + -13 7 What is the value of (-25 - -34 - (0 - (0 - -1))) + 5? 15 Calculate -28 - (-2 + -14 + 7) - -5 - -2. -12 Calculate 231 + -232 + (19 + 3 - -1). 22 Evaluate 7 + 2 - (14 + -14). 9 Evaluate 15 + (-4 + (-1 - (7 - 8)) - -3). 14 Evaluate 6 + -10 + (3 - 6 - -2 - 1). -6 (-31 + 6 + -14 + 19 - -7) + -7 -20 (4 - -4) + (1 - 6) + 5 8 Evaluate -1 - 0 - -25 - (-6 - -10 - 5). 25 -19 + (25 - 8 - -7 - -6) 11 Calculate -34 + 12 + 16 + -1 + -3 + 2. -8 Calculate (-38 - -71 - 20) + -29 + 0. -16 Calculate -1 + -1 + -10 + -2 - (-140 + 135). -9 -2 + (-29 - -40) - (-11 + -1) 21 What is (-578 - -572) + (2 + 0 + 12 - 2)? 6 What is 6 - (2 - (-3 - -3 - -6))? 10 Evaluate -23 - -13 - -5 - (-11 + 1) - 9. -4 Evaluate 6 + 6 + -1 + (-5 - 0) + 0. 6 Evaluate 10 - ((-12 - 1) + 39 - 11). -5 What is the value of (1 - (-5 + -31 - (-2 - 7))) + -10? 18 What is the value of (-43 + 36 + (-6 - -1) - 1) + 8? -5 What is the value of -10 - 1 - -1 - (87 - 171 - -92)? -18 What is the value of 2 - (1 + (-1 - (0 + 9) - 8))? 19 Calculate (-8 - -13 - (7 - 3)) + (4 - 1). 4 Calculate -343 - -363 - (1 + 32). -13 What is 9 - (1 - -13 - (-342 - -331))? -16 Evaluate (-7 + -14 - -18) + 28. 25 Evaluate (1 - 17) + -545 + 533. -28 What is 1 - 5 - (13 + (1 - -2 - 29))? 9 -14 + -3 + 12 + 16 11 -4 - (-1 - 1) - (-5 + 10 - -4) -11 What is 26 + (-27 - (-30 - -3))? 26 What is -1 + 1 - (2 + -7 + -5 + -5)? 15 -3 - ((10 - (-4 - -18)) + 1) 0 (-2 + 2 - -3) + 250 + -232 21 What is (-33 - -40) + -4 + (1 - -1) + 1? 6 What is -2 + 45 + -17 + (-2 - (-1 + 1))? 24 1 - 11 - (-113 + 106) -3 Evaluate 5 + (-1 - -2) + -2 + 1 + 1. 6 What is 16 + (-15 - 41) + 1 + 5? -34 Evaluate -218 + 222 - (-1 + (-2 - -6) + -2). 3 Calculate 7 + (-19 - -39) - (-3 - -1). 29 What is the value of (17 - 5 - 12) + -9? -9 Evaluate ((-2 - 3) + -7 - 1) + -23 + 23. -13 What is 14 + -2 - (-9 + 18)? 3 What is the value of (-16 - -13) + 4 + -2? -1 Evaluate -12 + 63 + -31 + -44. -24 Calculate 12 - ((11 - 2) + 20) - -10. -7 What is -15 + 6 - (-25 - -16)? 0 -18 + (2 - (15 + -36)) 5 What is -12 + (1 - -8) + 8 - (1 - -4)? 0 What is (7 - (5 - (-12 + 4 + 5))) + -1? -2 Evaluate (-28 - -32) + (-4 - -8 - 0). 8 What is (-7 - -1) + (-10 - (-10 - -17 - 2))? -21 1 - (-6 - (4 - 7)) - (-4 + 0) 8 28 - (-7 + -12 + 31) 16 -3 + 5 + 13 + -6 - (27 - -2) -20 Evaluate (1 + 1 - 1 - 17) + (214 - 203). -5 Calculate 4 + (10 - 21) + 4 - (17 - -4). -24 What is the value of (-1 - -3 - 2) + -9 + -86 + 83? -12 Evaluate -3 + (-2 - 1) - (-18 - (6 + -14)). 4 Calculate 19 - 23 - -28 - 38. -14 Calculate (26 - 25) + 30 + -59. -28 What is -11 + 6 + -1 + 11? 5 What is -5 - 1 - (-13 + (12 - 5))? 0 What is 12 + (-12 - -12 - 22)? -10 Evaluate -11 - 3 - (0 - (-1 - (5 - -1))). -21 Calculate -2 - ((-11 - (-9 - -7)) + 11 - 0). -4 (14 - 5) + -3 - (44 + -36) -2 What is (-17 - -15) + (-2 - 2) - 2? -8 5 - 0 - (-39 + 47) -3 What is the value of -6 + (53 - 41 - (6 + -3))? 3 What is the value of -11 - 1 - (4 + -17 - -12)? -11 Calculate (1 - -1) + 1 + -187 + 186 - 14. -12 Evaluate -22 + -14 + 36 + -23. -23 What is the value of (-1 - (10 + -1)) + (-26 - -24)? -12 Calculate -21 - 1 - (-7 + -2 + (-66 - -71)). -18 Evaluate 19 - (-28 - -16 - -17 - (1 + -6)). 9 What is the value of 18 + (
{ "pile_set_name": "DM Mathematics" }
f 1/2, to the nearest integer? 11 What is the ninth root of 37548 to the nearest integer? 3 What is the sixth root of 15701 to the nearest integer? 5 What is the square root of 2950 to the nearest integer? 54 What is 4369 to the power of 1/5, to the nearest integer? 5 What is 2725 to the power of 1/3, to the nearest integer? 14 What is the sixth root of 4336 to the nearest integer? 4 What is the fifth root of 7566 to the nearest integer? 6 What is the cube root of 63424 to the nearest integer? 40 What is the third root of 448 to the nearest integer? 8 What is 11905 to the power of 1/8, to the nearest integer? 3 What is 65 to the power of 1/9, to the nearest integer? 2 What is the third root of 8805 to the nearest integer? 21 What is the fifth root of 63537 to the nearest integer? 9 What is 17396 to the power of 1/3, to the nearest integer? 26 What is the cube root of 3123 to the nearest integer? 15 What is 147504 to the power of 1/2, to the nearest integer? 384 What is the cube root of 37886 to the nearest integer? 34 What is the third root of 1973 to the nearest integer? 13 What is the tenth root of 3478 to the nearest integer? 2 What is the cube root of 7307 to the nearest integer? 19 What is 1404 to the power of 1/3, to the nearest integer? 11 What is the third root of 23176 to the nearest integer? 29 What is 12406 to the power of 1/7, to the nearest integer? 4 What is the seventh root of 1720 to the nearest integer? 3 What is the eighth root of 44115 to the nearest integer? 4 What is 35845 to the power of 1/2, to the nearest integer? 189 What is the third root of 139666 to the nearest integer? 52 What is 11578 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 1000 to the nearest integer? 3 What is the seventh root of 2640 to the nearest integer? 3 What is the fourth root of 100737 to the nearest integer? 18 What is the third root of 8442 to the nearest integer? 20 What is 107599 to the power of 1/2, to the nearest integer? 328 What is 73526 to the power of 1/3, to the nearest integer? 42 What is the cube root of 37945 to the nearest integer? 34 What is the square root of 1269 to the nearest integer? 36 What is 3890 to the power of 1/2, to the nearest integer? 62 What is 3661 to the power of 1/6, to the nearest integer? 4 What is 2135 to the power of 1/2, to the nearest integer? 46 What is the sixth root of 107121 to the nearest integer? 7 What is the cube root of 58819 to the nearest integer? 39 What is 809 to the power of 1/10, to the nearest integer? 2 What is the square root of 30629 to the nearest integer? 175 What is the cube root of 1176 to the nearest integer? 11 What is the square root of 32883 to the nearest integer? 181 What is the cube root of 662 to the nearest integer? 9 What is 4010 to the power of 1/2, to the nearest integer? 63 What is 41792 to the power of 1/4, to the nearest integer? 14 What is the third root of 1750 to the nearest integer? 12 What is 4263 to the power of 1/6, to the nearest integer? 4 What is the square root of 68621 to the nearest integer? 262 What is the tenth root of 34693 to the nearest integer? 3 What is 1873 to the power of 1/3, to the nearest integer? 12 What is 12285 to the power of 1/6, to the nearest integer? 5 What is 90408 to the power of 1/2, to the nearest integer? 301 What is 230 to the power of 1/9, to the nearest integer? 2 What is the tenth root of 179390 to the nearest integer? 3 What is 1386 to the power of 1/5, to the nearest integer? 4 What is the cube root of 5733 to the nearest integer? 18 What is 22096 to the power of 1/2, to the nearest integer? 149 What is the square root of 59194 to the nearest integer? 243 What is 6701 to the power of 1/3, to the nearest integer? 19 What is 10819 to the power of 1/7, to the nearest integer? 4 What is the tenth root of 1460 to the nearest integer? 2 What is the third root of 543 to the nearest integer? 8 What is the square root of 59879 to the nearest integer? 245 What is the square root of 154206 to the nearest integer? 393 What is 7019 to the power of 1/3, to the nearest integer? 19 What is the cube root of 10094 to the nearest integer? 22 What is 1163 to the power of 1/10, to the nearest integer? 2 What is 939 to the power of 1/5, to the nearest integer? 4 What is 1675 to the power of 1/2, to the nearest integer? 41 What is 969 to the power of 1/7, to the nearest integer? 3 What is the cube root of 3528 to the nearest integer? 15 What is the sixth root of 56045 to the nearest integer? 6 What is 1306 to the power of 1/2, to the nearest integer? 36 What is 2509 to the power of 1/5, to the nearest integer? 5 What is 3259 to the power of 1/2, to the nearest integer? 57 What is 11141 to the power of 1/2, to the nearest integer? 106 What is the cube root of 1163 to the nearest integer? 11 What is the square root of 8335 to the nearest integer? 91 What is the square root of 8338 to the nearest integer? 91 What is 22690 to the power of 1/2, to the nearest integer? 151 What is the sixth root of 14684 to the nearest integer? 5 What is the cube root of 6997 to the nearest integer? 19 What is 23686 to the power of 1/3, to the nearest integer? 29 What is 1262 to the power of 1/7, to the nearest integer? 3 What is the seventh root of 43528 to the nearest integer? 5 What is 53809 to the power of 1/2, to the nearest integer? 232 What is 648 to the power of 1/6, to the nearest integer? 3 What is the cube root of 12487 to the nearest integer? 23 What is the square root of 600 to the nearest integer? 24 What is 14002 to the power of 1/9, to the nearest integer? 3 What is the third root of 4718 to the nearest integer? 17 What is 16639 to the power of 1/2, to the nearest integer? 129 What is 816 to the power of 1/2, to the nearest integer? 29 What is 2622 to the power of 1/3, to the nearest integer? 14 What is 645 to the power of 1/4, to the nearest integer? 5 What is 525 to the power of 1/2, to the nearest integer? 23 What is 2415 to the power of 1/8, to the nearest integer? 3 What is the cube root of 6307 to the nearest integer? 18 What is 921 to the power of 1/8, to the nearest integer? 2 What is the tenth root of 1021 to the nearest integer? 2 What is the square root of 6999 to the nearest integer? 84 What is the cube root of 1654 to the nearest integer? 12 What is the third root of 1293 to the nearest integer? 11 What is 27431 to the power of 1/3, to the nearest integer? 30 What is the square root of 18562 to the nearest integer? 136 What is the square root of 10979 to the nearest integer? 105 What is 22948 to the power of 1/8, to the nearest integer? 4 What is the third root of 6987 to the nearest integer? 19 What is 917 to the power of 1/8, to the nearest integer? 2 What is 70312 to the power of 1/7, to the nearest integer? 5 What is 708 to the power of 1/4, to the nearest integer? 5 What is 1813 to the power of 1/10, to the nearest integer? 2 What is the square root of 11021 to the nearest integer? 105 What is the third root of 7964 to the nearest integer? 20 What is 49268 to the power of 1/8, to the nearest integer? 4 What is 26296 to the power of 1/6, to the nearest integer? 5 What is the seventh root of 53997 to the nearest integer? 5 What is the eighth root of 913 to the nearest integer? 2 What is 366 to the power of 1/2, to the nearest integer? 19 What is the cube root of 2659 to the nearest integer? 14 What is 565 to the power of 1/2, to the nearest integer? 24 What is 7113 to the power of 1/5, to the nearest integer? 6 What is 1826 to the power of 1/2, to the nearest integer? 43 What is the third root of 26036 to the nearest integer? 30 What is 3615 to the power of 1/2, to the nearest integer? 60 What is 33729 to the power of 1/9, to the nearest integer? 3 What is 99845 to the power of 1/2, to the nearest integer? 316 What is the square root of 700 to the nearest integer? 26 What is the cube root of 265 to the nearest integer? 6 What is 54092 to the power of 1/3, to the nearest integer? 38 What is the square root of 23408 to the nearest integer? 153 What is 159 to the power of 1/3, to the nearest integer? 5 What is 16568 to the power of 1/10, to the nearest integer? 3 What is the third root of 13477 to the nearest i
{ "pile_set_name": "DM Mathematics" }
73/38 What is 29483178 divided by 8102? 3639 Calculate -61680402 divided by 1468581. -42 -2634543 divided by 18 -292727/2 Divide -1125406 by 49. -1125406/49 19223 divided by 398 19223/398 Calculate 812 divided by -4672. -203/1168 Calculate -42236502 divided by -726. 58177 Divide -40171744 by -3. 40171744/3 Divide -13211379 by -3. 4403793 Divide 2 by 5601385. 2/5601385 What is 335031180 divided by 418? 801510 Divide -1360811 by -4. 1360811/4 What is 20 divided by 107104? 5/26776 What is 77170770 divided by -5? -15434154 -1 divided by -3877423 1/3877423 22 divided by 2593438 11/1296719 Calculate 6554707 divided by 8. 6554707/8 Divide 1223950 by 16. 611975/8 -8774811 divided by -81 108331 -3710952 divided by 81 -412328/9 57699238 divided by 47063 1226 Calculate 132109012 divided by 7. 18872716 What is 25673466 divided by -273? -94042 What is 958668 divided by -4? -239667 Calculate -3988662 divided by 4. -1994331/2 Divide 5935980 by 1905. 3116 Divide -525070596 by -326. 1610646 What is -9 divided by -170020? 9/170020 -29393 divided by 2796 -29393/2796 Calculate -24835323 divided by -8278441. 3 Calculate 256727275 divided by -35. -7335065 2140 divided by -10515 -428/2103 Divide 36469556 by -68. -536317 Calculate 3703119 divided by -3. -1234373 7243972 divided by -3621986 -2 Calculate 66369772 divided by -66369772. -1 Calculate 1760616 divided by 3861. 456 Calculate -331796082 divided by -4. 165898041/2 Divide -4 by -41807655. 4/41807655 Divide -174499992 by -6882. 25356 -114051 divided by 1549 -114051/1549 -1130 divided by 9245 -226/1849 40185824 divided by 3808 10553 Calculate -42 divided by 1104180. -1/26290 5082566 divided by -5082566 -1 What is 9796416 divided by 9796416? 1 Calculate 7492160 divided by 65. 115264 What is 242512260 divided by -5? -48502452 What is 55187 divided by -61? -55187/61 Calculate 71079008 divided by 24409. 2912 What is 55880 divided by -2040? -1397/51 What is -3217740 divided by -7? 3217740/7 24645726 divided by 126 195601 What is -1696000 divided by -5? 339200 What is -15 divided by 4908906? -5/1636302 -41599724 divided by 2 -20799862 -31073090 divided by -6214618 5 What is 28 divided by -2253886? -14/1126943 What is -7684 divided by -878? 3842/439 Calculate -1617992638 divided by 1. -1617992638 Divide -2952005 by 26. -2952005/26 Divide 3 by 7629585. 1/2543195 Divide 25950400 by 32. 810950 Calculate 100169768 divided by 4. 25042442 -9553186 divided by -1 9553186 What is 145544 divided by -11? -145544/11 What is -98297868 divided by -38? 2586786 Divide 33176042 by 24287. 1366 -96797520 divided by -1075528 90 Divide 8066542 by 733322. 11 Calculate -279962100 divided by -3. 93320700 What is 81558300 divided by -20? -4077915 What is -12959448 divided by 197? -65784 Divide 4 by 7431213. 4/7431213 What is 142 divided by -657473? -142/657473 Divide -2869803 by 4. -2869803/4 Calculate -4108 divided by 13174. -2054/6587 -20827316 divided by -5206829 4 Calculate -5161 divided by 182. -397/14 Calculate 2888 divided by 7661. 2888/7661 Calculate 15105214 divided by 7552607. 2 -25677144 divided by -1426508 18 What is -249780336 divided by -156? 1601156 Divide -42514466 by 2. -21257233 Calculate -18242 divided by -1327. 18242/1327 Divide 76013 by 247. 76013/247 -237 divided by 560757 -79/186919 What is -3019404 divided by 22? -1509702/11 Calculate -918776064 divided by -64. 14355876 What is -21005 divided by -2786? 21005/2786 What is 3 divided by 15277919? 3/15277919 -3778 divided by 21612 -1889/10806 -3084197 divided by -83 37159 What is -30 divided by 459115? -6/91823 50581198 divided by -2 -25290599 What is 85370416 divided by -42013? -2032 Divide -8167200 by 204180. -40 Calculate 11959536 divided by 3986512. 3 Divide 106966 by 407. 106966/407 Divide -20067569 by 14. -20067569/14 What is -340354 divided by 1? -340354 -1270 divided by 66539 -1270/66539 2877 divided by 2265 959/755 Calculate 1019408 divided by -8788. -116 Calculate 1636441 divided by -73. -22417 Divide -75 by -902197. 75/902197 Divide 395940952 by 44. 8998658 Divide 3 by -175221296. -3/175221296 13547116 divided by -151 -89716 Divide -498420 by 156. -3195 15804300 divided by 3951075 4 186115157 divided by -1 -186115157 Calculate -317757482 divided by 5362. -59261 What is -5 divided by 11884962? -5/11884962 What is 22400 divided by 10253? 22400/10253 Divide 249587876 by -4. -62396969 12 divided by 1794242 6/897121 Divide 414351 by -10. -414351/10 What is 9829 divided by 2165? 9829/2165 Calculate 334123746 divided by 561. 595586 Calculate 140231560 divided by -55340. -2534 Calculate 152232031 divided by 7. 21747433 What is -35119496 divided by -4389937? 8 Divide 8228773 by -10403. -791 Divide 12990020 by 2598004. 5 116180 divided by 30 11618/3 Divide -17142287 by -2. 17142287/2 Calculate 33204566 divided by -4. -16602283/2 -108016040 divided by 440 -245491 Divide 10312876 by -5156438. -2 Divide -18524615 by 3704923. -5 What is -47503206 divided by 879689? -54 What is -9 divided by 15609913? -9/15609913 Calculate -110685065 divided by -415. 266711 212 divided by -175481 -212/175481 Calculate 3756293 divided by -4. -3756293/4 -17225568 divided by -54 318992 Calculate 3837862 divided by 123802. 31 -9516422 divided by 101 -94222 272621 divided by 7 272621/7 Calculate -2768 divided by 346. -8 Calculate 3467270 divided by 18742. 185 Calculate 7192028 divided by -2. -3596014 Divide -52832995 by -10566599. 5 What is -10932220 divided by 65? -168188 4 divided by 6732536 1/1683134 What is 2493313 divided by 281? 8873 Calculate 11776125 divided by -2355225. -5 Calculate 278307345 divided by -6467. -43035 What is -85751085 divided by 539315? -159 Calculate -101742 divided by -92. 50871/46 -95931 divided by -2023 5643/119 75973722 divided by 1151117 66 Calculate 76807 divided by -680. -76807/680 What is -3396991770 divided by -6? 566165295 Calculate -18352410 divided by -3670482. 5 -1 divided by 13174420 -1/13174420 What is -132236250 divided by 9850? -13425 Calculate -43324857 divided by 283169. -153 -69 divided by 904 -69/904 Calculate 150648988 divided by -6549956. -23 5366285 divided by 6 5366285/6 Calculate -15 divided by 259392. -5/86464 Divide 5257075 by 1051415. 5 What is -23911179 divided by 82169? -291 -5 divided by 12575386 -5/12575386 What is -5806352 divided by 4? -1451588 What is 4 divided by -12612556? -1/3153139 Calculate -354280023 divided by -101. 3507723 Calculate -141 divided by -4511235. 47/1503745 What is -961662 divided by -3? 320554 What is 0 divided by -13862944? 0 What is 1206291 divided by -3? -402097 What is -5 divided by -207232899? 5/207232899 What is -810410 divided by 101? -810410/101 Calculate -5473664 divided by -448. 12218 What is 1286658 divided by 4? 643329/2 -230362 divided by -11 20942 Divide 1545674 by -9146. -169 Divide 877776912 by -109722114. -8 -17350 divided by 902 -8675/451 3203240 divided by 640648 5 What is 1490745262 divided by 2? 745372631 -49246256 divided by -4748 10372 Calculate -8541218 divided by 610087. -14 What is -21571511 divided by -40? 21571511/40 What is 853647 divided by 31? 27537 Divide -2 by 4838812. -1/2419406 What is 759 divided by -36479? -759/36479 22481838 divided by 2497982 9 -638 divided by 3702 -319/1851 Calculate -108 divided by 158824. -27/39706 -50885 divided by 1 -50885 Divide -512052 by -2404. 213 Divide 0 by -354615. 0 Divide 859 by 9969. 859/9969 What is 11 divided by 14891878? 11/14891878 Divide 48395090 by -509422. -95 What is -6143400 divided by -122868? 50 -4 divided by 312564086 -2/156282043 25796736 divided by 409472 63 11058 divided by -14021 -11058/14021 Calculate 24601237 divided by -5. -24601237/5 What is 14921050 divided by 298421? 50 Calculate 26438175 divided by 8812725. 3 Calculate -2648072 divided by 5. -2648072/5 -446 divided by -645599 446/645599 Divide 16996758 by 1. 16996758 Calculate -13626360 divided by -270. 50468 Divide -815 by -14339. 815/14339 -2096069 divided by 2 -2096069/2 Divide 541865337 by -403. -1344579 What is -158125968 divided by -9873? 16016 -2038 divided by 6460 -1019/3230 Calculate -1122555 divided by -374185. 3 Calculate -60 divided by 16567. -60/16567 26165207 divided by -6 -26165207/6 Divide 1996752 by 1. 1996752 What is -13574 divided by 157? -13574/157 -5
{ "pile_set_name": "DM Mathematics" }
- 2*h**2 + h**2)*(-3671 - 3104 + 5234)*(-3 + 1 + 0)*(-3*h**2 - h**2 + 6*h**2). -12328*h**4 Expand (2*w - 8*w - 7*w)*(33 + 46 + 0)*(3*w**2 - 2*w**2 + 0*w**2) - 4*w**3 + 2*w**3 + 0*w**3. -1029*w**3 Expand (-1909*w**2 - 1699*w**2 + 4178*w**2)*(-5*w**2 + 314 + 45*w**2 - 314). 22800*w**4 Expand (-2*d + 4*d + 0*d)*(433 - 211 + 2*d + 335 + 109). 4*d**2 + 1332*d Expand (4 - 4 - 2*y)*(-2 - 2 + 1)*(-6*y + 4*y + y)*(-409*y**2 + 228*y**2 - 340*y**2). 3126*y**4 Expand 4*v**3 - 4*v**3 + v**3 + (-4*v**3 - 3*v**3 + 3*v**3)*(4 - 2 + 2) + 5*v**3 - 2*v**3 + 63*v**3. 51*v**3 Expand (-4*k**4 + 8*k**4 - k**4)*(71*k - 44*k + 147*k). 522*k**5 Expand (-9*d + 3*d - 9 + 5*d)*(-571*d + 270*d - 250*d). 551*d**2 + 4959*d Expand (0*v - 4*v + 2*v)*(-99 + 118 - 77) - 56*v + 23*v - 27*v - 2 - v + 2. 55*v Expand (-1 + 7*n**2 - 13*n**2 + 14*n**2)*(11*n**3 - 11*n**3 - 55*n**3). -440*n**5 + 55*n**3 Expand u - u + 2*u + (-8 + 16*u + 8)*(22 - 15 - 35). -446*u Expand (1613 + 1585 - 45 + 655)*(5*g + g - 3*g). 11424*g Expand (-1 + 2 + 3)*(-47*a**3 + 6954 - 6954) - 4*a**3 + 4*a**3 + 2*a**3. -186*a**3 Expand (29*l**2 - 9*l**2 - 8*l**2)*(-2 + 2*l + 2)*(-50*l**2 + 63*l**2 - 50*l**2). -888*l**5 Expand -235*o + 235*o - 34*o**3 + (-2*o - 1 + 1 + (2 + 0 - 3)*(-3*o + 4*o - 5*o))*(8*o**2 - 40*o + 40*o) - 2*o**3 + 0 + 0. -20*o**3 Expand (250*k - 81*k + 8*k)*(4 + 0 - 6). -354*k Expand -46968*h + 46968*h + 591*h**5 - 7*h**5 - 3*h + 3*h + (0*h - h**4 + 0*h)*(-3*h + 4*h + h) - 3*h**5 + 7*h**5 - 2*h**5. 584*h**5 Expand (-u + u + u**3)*(-23 + 24 + 150*u - 38*u) - 4*u**3 - 3*u**4 + 4*u**3. 109*u**4 + u**3 Expand (-65 + 13 + 33)*(504*t**2 - 3*t**4 - 239*t**2 - 246*t**2). 57*t**4 - 361*t**2 Expand (-2*v - 2*v - 3*v)*(0*v**3 - 3*v**3 + v**3) + (-v**2 + 0 + 0)*(2*v**2 + 2*v**2 - 3*v**2) + 2*v**4 + 4*v**4 + 6*v**4 - 2*v**3 - 6*v**4 + 11*v**4 + 0*v**3. 30*v**4 - 2*v**3 Expand (-10*r**3 - 2*r**3 + 17*r**3)*((4*r - 3*r + r)*(-1 + 1 + 2) + 0 + 0 + r - 16*r + 2*r + 5*r + (-1 + 3 + 1)*(-3*r - 2*r + r) + 0 + 0 - r). -85*r**4 Expand (3*c**2 + 3*c**2 - 4*c**2)*(-193*c**2 - 54*c**2 - 67*c**2 + (c - 2*c + 0*c)*(4*c - 3*c + 3*c)). -636*c**4 Expand -5*i**4 + 5*i**4 + 3*i**4 + (5*i**2 - i**2 - 3*i**2)*(-2*i**2 + 0 + 0) + 9757*i**4 - 19*i**3 - 9754*i**4 + 53*i**3. 4*i**4 + 34*i**3 Expand (-5 + 4 - 1)*(-f + 3*f**3 + f) + (-2*f**2 + 2*f**2 + 2*f**3)*(-1829 - 2749 + 1249 - 807). -8278*f**3 Expand (-2*q + 2*q + 2*q + 4*q - 2*q - 4*q + (-3 + 4 + 0)*(-13*q - 31*q + 5*q))*(-3 - 9 + 2). 390*q Expand (-3*z + 0*z + 4*z)*(z + 2*z - 4*z) - 9 + 6*z**2 + 9 + (0*z**2 - 2*z**2 + 0*z**2)*(39 - 24 + 145) + 0*z**2 - 2*z**2 + 0*z**2. -317*z**2 Expand (-14 - 45 - 64)*(5*r**5 + 9*r**5 - 15*r**5). 123*r**5 Expand r - r - 2*r**3 + (3*r**2 - r**2 + 0*r**2)*(-2*r - 2*r + 2*r) - 506*r**3 + 1231*r**3 + 884*r**3 + 3*r**3 - 5*r**3 + 0*r**3. 1601*r**3 Expand (-3 + 3 + 3*o)*((4 - 4 + o)*(-9*o + 0*o + 2*o) + (3*o + 4*o - 5*o)*(3*o - 6*o + 4*o) - o**2 + 2*o**2 - 2*o**2 - 491*o - 692*o**2 + 491*o). -2094*o**3 Expand (26981 - 10547 + 12001 - 6892)*(3*k**5 - 4*k**5 - k**5). -43086*k**5 Expand m**5 + 1 - 1 + 4*m**5 + 2*m**5 - 4*m**5 + (3*m**3 - 2*m**4 - 3*m**3)*(-5*m + 0*m + 3*m) - 232*m + 336*m - 7218*m**5 - 104*m. -7211*m**5 Expand (-2*f + 123 + 132 - 299)*(-29*f - 3*f**2 + f**2 - 11*f). 4*f**3 + 168*f**2 + 1760*f Expand h**5 + 0*h**5 + 4*h**5 + (h**5 - 2*h**5 + 2*h**5)*(-4 - 2 + 5) + (4*h**3 - 12 + 12)*(-60*h + 60*h + 40*h**2). 164*h**5 Expand 3*x**3 - 5*x**3 + 4*x**3 + (-x**2 + 3*x**2 - x**2)*(-5*x + x + 3*x) + 0 + 2*x**3 + 0 + 334*x**3 + 720*x - 720*x. 337*x**3 Expand 3*k**3 - 113133*k**4 + 34*k + 113148*k**4 - 8*k + (1 - 1 + k**2)*(-3*k + 3*k + k**2). 16*k**4 + 3*k**3 + 26*k Expand (f**3 - f**3 + 2*f**4)*(f + 4*f - 3*f) - 1030 + 1030 - 572*f**5. -568*f**5 Expand 2631*s + 643*s + 1 - 265*s + (0 - 2 + 0)*(4*s - 3*s + 0*s). 3007*s + 1 Expand (24*y + y - 2*y)*(3*y**2 + 6*y**2 - 6*y**2). 69*y**3 Expand (30*w**2 + 30*w**2 - 12*w**2)*(3*w**2 + 3*w**2 - 4*w**2)*(2 - 3 + 10). 864*w**4 Expand (-8*a - 587 - 906 + 367)*(-4*a**3 - a**3 + 2*a**3). 24*a**4 + 3378*a**3 Expand (-59*x + 59*x + 61*x**4)*(5*x - 3*x - x) - 9*x**5 + 45*x**5 - 2*x**5. 95*x**5 Expand (331 - 58 + 80)*(-3*v**2 + 4*v**2 - 5*v**2)*(1 - 2 - 3). 5648*v**2 Expand (6108*a**3 + 3313*a**3 + 4739*a**3)*(4*a + 0*a - 3*a). 14160*a**4 Expand (-1749 + 3711 - 1579)*(3*c - 2*c**3 - 3*c) - 2*c + 2*c - c**3. -767*c**3 Expand ((3*x**2 - 4*x**2 + 2*x**2)*(69*x + 159*x + 593*x) - 8 + 4*x**3 + 8)*(-6*x**2 + 0*x**2 + 5*x**2). -825*x**5 Expand (2*c + 4*c + 0*c)*(4*c + 65 - 65) + 62*c**2 - 28*c**2 - 29*c**2 + c. 29*c**2 + c Expand (4596 + 4504 - 9293 - 2*u**4)*(6 + 46 - 5 - 4). -86*u**4 - 8299 Expand (-817*g - 2839*g + 921*g)*(-5*g + 0*g + 4*g) + 3*g**2 - 2*g + 2*g. 2738*g**2 Expand (-463*g - 566*g - 613*g)*(-g - 6*g - 10*g). 27914*g**2 Expand 0*w**4 + 5*w**4 - 2*w**4 + (-2*w**3 + 3*w**3 + 0*w**3)*(-5*w - 5*w + 2*w) - 72*w**4 + w**4 - 129*w**4. -205*w**4 Expand ((-2*o**3 + o**3 + 2*o**3)*(-o - 3*o + 2*o) + 1801*o - 167*o**4 - 1801*o)*(-3 + 2 - 5). 1014*o**4 Expand ((-7*y + 3*y + 3*y + (3 - 4 + 2)*(-4 + 2*y + 4) + 2*y + 2*y - 3*y + 3*y - 2*y + y)*(-5*y + 2*y + y) + 0*y**2 + y**2 + 2*y**2)*(80 + 320*y - 166 + 93). -1600*y**3 - 35*y**2 Expand (-446 - 446 + 128*y**2 + 887)*(2*y**3 + 2*y**3 + 0*y**3). 512*y**5 - 20*y**3 Expand (3174*h**2 + 44812*h**4 - 13 + 13 - 3174*h**2)*(4*h - h - 2*h)*(-2 + 0 + 1). -44812*h**5 Expand (-o**3 - 2*o**3 + 4*o**3)*(-5*o + o + 3*o) - 214137*o**3 + 214137*o**3 - 983*o**4 + (2 - 2 - 2*o**2)*(4*o**2 - 2*o**2 - o**2) + 0*o**4 + o**4 + 0*o**4. -985*o**4 Expand (275*x**3 - 78*x**3 - 95*x**3 + 218*x**3)*(5*x + 0*x + 37*x). 13440*x**4 Expand (n + 0 + 0)*(-241912 - 244144 + 478740). -7316*n Expand (-566 - 538 + 56)*(0*j - 2*j + 0*j)*(2 + 0 - 1). 2096*j Expand (944*n + 4 + 911*n - 1933*n)*(-1 - 2 + 2). 78*n - 4 Expand (-45*a + 22*a + 25*a + 5 - 2*a**2)*(115*a + 205*a - 160*a). -320*a**3 + 320*a**2 + 800*a Expand -30*h - 60*h + 24*h + 11*h - 33*h + 135*h**2 + (-2*h + 3*h + 3*h)*(-1 + 2*h + 1). 143*h**2 - 88*h Expand (-11*o + 17*o - 7*o + 313*o**3)*(-160*o - 10*o**2 + 160*o). -3130*o**5 + 10*o**3 Expand (6*t**2 - 14*t**2 - 22*t**2)*(-2 + 2 - 1)*(-2*t - t + 4*t)*(14 - 8 - 16). -300*t**3 Expand (-3*z + 0*z - 19*z)*(178*z**4 - 47*z**4 + 99*z**4) + 3*z**5 + z**2 - 5*z**5 - 2*z**2. -5062*z**5 - z**2 Expand (-5*y**2 - 7*y + 7*y)*(-4 + 4 + 2*y + (4 - 4 + 3)*(0 + 2 + 1)*(3 + 31*y - 3)). -1405*y**3 Expand 177*d - 136*d - 112*d + (0 + 1 + 1)*(-10*d - 3*d + 3*d + 1 - 1 + 2*d + (0 + d + 0)*(2 - 2 - 2) - 2*d - d + d). -95*d Expand (5*t**3 - 13*t**3 + 19*t - 19*t + 84 + 12)*(-8*t**2 - 23 + 23). 64*t**5 - 768*t**2 Expand 3*k**5 + 28*k**4 - 28*k**4 + (17*k + 46*k**4 - 17*k)*(-4*k + 0*k + k). -135*k**5 Expand ((-3*d + 2*d - d)*(0*d - d + 3*d) + 0*d**2 + 0*d**2 + 2*d**2)*(3 + 3 - 2) + (17*d - 43*d + 10*d)*(-8 - 4*d + 8). 56*d**2 Expand -4*v - 2*v**4 + 4*v - 12*v**4 + 2*v**4 - 10*v**4 + ((0 + 2 - 3)*(-1 + 1 + 1) + 1 + 2 - 5 - 18 - 8 + 8)*(-v**4 + 0 + 0) + v - v + 5*v**4. 4*v**4 Expand (-4 + 1 + 1)*(1 - 4 - 3)*(-i**2 + 5*i**2 + 0*i**2) - i**2 + 2*i**2 - 3*i**2 - 29*i**2 - 2*i**2 - 9*i**2. 6*i**2 Expand 9*m**2 - 14*m**2 + 20*m**2 + (36*m - 20*m - 28*m + (-2 + 6 - 2)*(-m - 5*m + 3*m))*(3*m + 2*m - 4*m). -3*m**2 Expand (1106 - 36*v - 1106)*(331*v - 64*v**4 - 331*v). 2304*v**5 Expand ((-40*t + 79*t + 43*t)*(2 - t - 2) - t**2 + t**2 - 2*t**2)*(-9*t + 18*t + t**2 + 24*t). -84*t**4 - 2772*t**3 Expand (0*d + 2*d - d)*(0 + 4 - 2 + (-5 + 2 - 4)*(-59 + 4 + 111)). -390*d Expand (-1 + 1 + 2*r)*(5 - 10 + 7) - 2 + 2 + 2*r - 708*r + 361*r + 175*r + r + 3 - 3 - 3*r + 5*r - r - 3*r + 0*r + 4*r + (1 + 2 - 1)*(-4 + 4 + 2*r). -159*r Expand 406*p**4 + 59 - 59 + 169*p**4 - 2597*p**4 + (p**2 + 0*p**2 - 2*p**2)*(-4*p + p**2 + 4*p). -2023*p**4 Expand (-m + 0 + 0)*(-3*m + 15 - 18332*m**2 + 9166*m**2 + 2*m**3 + 9165*m**2). -2*m**4 + m**3 + 3*m**2 - 15*m Expand (-196 + 290 - 950)*(-2 - 4 + 2*f + 4). -1712*f + 1712 Expand (287 - 265 - 31*i + 7*i - 296)*(-6*i**4 + 4*i**4 + 4*i**4). -48*i**5 - 548*i**4 Expand (-3*f**3 - f**2 + f**2)*(f - 2 + 2) + (0*f**3 + 3*f**3 - 2*f**3)*(f - 4*f + 5*f) + 2*f**4 + 0*f**4 + 4*f**4. 5*f**4 Expand (-k + 3*k - k)*(-3 + 0 + 5) + 1283*k - 1624*k + 9039*k - 871*k + 5442*k. 13271*k Expand (2*q - 4*q - 3*q)*(59 + 72*q - 56 -
{ "pile_set_name": "DM Mathematics" }
19*k + 1. Calculate l(b(t)). -177984513*t - 28 Let z(a) = 1264*a**2 - 420*a**2 - 418*a**2 - 427*a**2. Let p(k) be the first derivative of -189*k**2/2 - 1. What is z(p(o))? -35721*o**2 Let b be ((-13)/(-2))/((45/(-18))/(-5)). Let h(y) = -23*y + 26*y - b*y. Let j(w) = 8*w. Calculate j(h(a)). -80*a Let n(i) = i**2 - i - 336518. Let d(q) = 2*q. Calculate d(n(l)). 2*l**2 - 2*l - 673036 Let v(x) = 12 - 10*x + 17 - 52 + 7*x + 16. Let s(i) = 49*i. Give s(v(q)). -147*q - 343 Let q(u) = 1465 + 19*u - 10*u + 0*u - 1465. Let v(a) be the first derivative of 11*a**2/2 - 1. Calculate q(v(c)). 99*c Let f(a) = 2*a**2 + 8349. Let w(q) = 370*q. What is w(f(z))? 740*z**2 + 3089130 Let h(c) = 3*c. Let l(x) = x**2 - 252934836. What is h(l(n))? 3*n**2 - 758804508 Let v(b) = -16*b. Let p(o) = 9042*o - 41. Determine p(v(f)). -144672*f - 41 Let s(d) = 3*d**2 - 2*d + 2. Let f(t) = -4*t**2 + 3*t - 3. Let z(v) = -4*f(v) - 6*s(v). Let i(l) = 174*l - 538*l + 163*l + 170*l. What is i(z(p))? 62*p**2 Let r(n) = -16*n**2. Suppose -u + 3*i - 8*i = -16, -4*u + 47 = 3*i. Let t(l) = -2*l - 8*l + 6*l + u*l. Determine t(r(d)). -112*d**2 Let d(s) be the second derivative of 23*s**4/12 - 3*s. Let j(m) = -6 - 5*m + 12 + 12*m. Let v(b) = 20*b + 17. Let i(a) = -17*j(a) + 6*v(a). What is d(i(k))? 23*k**2 Let l = -218 - -327. Let x(c) = -l*c + 34*c + 30*c + 30*c. Let m(a) = 6*a**2. Give m(x(i)). 1350*i**2 Let h(y) = 66*y. Let c(o) be the third derivative of o**6/360 + 11*o**3/3 - 26*o**2 + 2*o. Let z(w) be the first derivative of c(w). Calculate h(z(f)). 66*f**2 Let z(j) = 3*j. Let f(s) = 24666931*s**2. Give z(f(u)). 74000793*u**2 Let u(t) = 4*t**2 - 3*t + 3. Let b = -91 + 88. Let w(c) = 7*c**2 - 5*c + 5. Let p(z) = b*w(z) + 5*u(z). Let m(j) = j**2 - 11*j. Give p(m(r)). -r**4 + 22*r**3 - 121*r**2 Let i(n) be the first derivative of -8*n**2 + 633. Let y(b) = -12*b. What is y(i(f))? 192*f Let a(w) = 54*w. Let t(d) = 21*d**2 - 6*d - 3. Let f(v) = -44*v**2 + 11*v + 5. Let h(z) = -3*f(z) - 5*t(z). Give a(h(m)). 1458*m**2 - 162*m Let j(l) = 20*l**2 - 4*l + 12. Let x(o) = o**2 - o + 3. Let m(q) = -j(q) + 4*x(q). Let h(f) = -6 - 9 + 15 + 6*f**2. Determine h(m(a)). 1536*a**4 Let t(g) = 2*g - 7. Let p(f) be the first derivative of f**3 - 1500. Give t(p(o)). 6*o**2 - 7 Let p(t) = 2*t**2 - 451*t. Let y(k) = -72*k - 1617. Let j(s) = s + 22. Let a(m) = -441*j(m) - 6*y(m). Determine a(p(f)). -18*f**2 + 4059*f Let q be (-9)/12*24/(-9). Let m(x) = 7*x - q*x - x. Let u(n) = -4*n. Let g(a) = 2*m(a) + 3*u(a). Let r(s) = -4*s. What is g(r(f))? 16*f Let d(f) be the third derivative of -f**4/6 + 4*f**2 - 134. Let k(n) = -289*n. Determine k(d(m)). 1156*m Let l(f) = 700*f. Let t(m) be the third derivative of m**5/15 + 8*m**2 - 7. Give l(t(d)). 2800*d**2 Let i(f) = 1661*f**2. Let q(m) = -43990*m**2 + 87964*m**2 - 43976*m**2. Give i(q(c)). 6644*c**4 Let f(b) = -b. Suppose 0 = -a - 1961 + 1964. Let s(d) = 7065 - 7190 + a*d - d. What is s(f(i))? -2*i - 125 Let q(h) = 974*h - 3894*h + 969*h + 972*h + 968*h. Let y(f) = 168*f. Give y(q(x)). -1848*x Suppose -10 = -5*d - r - 4*r, -3*r = 0. Suppose -3*b - 1105 = -6*b - d*h, -h = -4*b + 1488. Let u(j) = -j**2 + 371*j - b*j. Let c(o) = 2*o. Give c(u(a)). -2*a**2 Let w(b) = 1526848*b. Let d(t) = 28*t. Calculate d(w(z)). 42751744*z Let h be 14/(2 + -9 + 4 - -1). Let v(a) = 5*a + 14. Let g(c) = 3*c + 10. Let j(t) = h*g(t) + 5*v(t). Let y(i) = 3*i - 2. What is y(j(p))? 12*p - 2 Let o(c) = -7 + 0*c**2 + 4 - 6 + 5*c**2 - c**2. Let a(i) = -20*i. Give a(o(n)). -80*n**2 + 180 Let t(b) = -12012*b. Let q(l) = 6*l**2 + 11. What is t(q(j))? -72072*j**2 - 132132 Let p(g) = g**3 + 3*g**2 + 2. Let m be p(-3). Let w(z) = m*z + 0*z + 2*z. Let d(u) be the third derivative of u**5/60 + 402*u**2. Calculate w(d(n)). 4*n**2 Let f(t) = -16361*t. Let m(q) = 718*q. Calculate f(m(a)). -11747198*a Let o(d) = 2500628*d. Let z(f) = -13*f. What is z(o(a))? -32508164*a Let t(a) = 4337065 - 4337065 - 219*a. Let o(h) = 7*h**2. What is t(o(x))? -1533*x**2 Let a(w) = 717*w**2 + 1768. Let d(g) = -2*g**2. Calculate a(d(u)). 2868*u**4 + 1768 Let t(m) = -144*m. Let i(s) = 18123*s + 33. What is i(t(z))? -2609712*z + 33 Let m(h) = -17*h - 84. Let x be m(-6). Let p(c) = -4*c + 2*c + 10 - 55 + x. Let s(v) = -v. Give p(s(g)). 2*g - 27 Let t(b) = 82*b**2 - 66*b**2 + 40*b**2. Let v(i) = 2*i. Let s be ((-1)/(-3) - (-8)/(-12))*-18. Let m(k) = 2*k. Let h(a) = s*v(a) - 5*m(a). Determine h(t(l)). 112*l**2 Let i(b) = b**3 + 2*b**2 + 2. Let h be i(-2). Let n(j) = -21*j**h - 26*j**2 + 45*j**2. Let v(k) = -11*k - 1. Determine n(v(z)). -242*z**2 - 44*z - 2 Let n(x) = -8*x + 312813. Let w(a) = -10*a**2. What is n(w(b))? 80*b**2 + 312813 Let v(p) = -28*p**2 + p. Let l(r) = -5866*r. Give v(l(x)). -963478768*x**2 - 5866*x Let r(g) = -g**3 - 5*g**2 + 3*g - 15. Let q(k) = -k + 1. Let p be q(8). Let d be r(p). Let n(b) = -d*b + 135*b - 63*b. Let h(y) = -3*y. Determine h(n(m)). -30*m Let g(c) = -248652*c**2. Let q(u) = 38*u**2. What is g(q(w))? -359053488*w**4 Let o(n) = -4*n**2 + 24723 - 9*n - 24723. Let m(w) = 2*w - w - 3*w + 4*w. Calculate m(o(s)). -8*s**2 - 18*s Let i(d) = 2*d**2. Let a = -121 + 127. Suppose 4*f = 10*f - a. Let b(c) = c - 1. Let r(z) = -7*z**2 - 4*z + 8. Let t(u) = f*r(u) + 4*b(u). Calculate i(t(s)). 98*s**4 - 112*s**2 + 32 Let w(i) = 194345*i - 1. Let s(u) = -19*u. Determine s(w(f)). -3692555*f + 19 Let y(k) = k**2 + 490. Let n(a) = -5072*a. Calculate n(y(q)). -5072*q**2 - 2485280 Let s(x) = -249*x - 2213. Let w(p) = -9*p. Give w(s(z)). 2241*z + 19917 Let b(x) be the third derivative of 7*x**5/120 - 5*x**3/3 - 75*x**2. Let g(d) be the first derivative of b(d). Let l(t) = 14*t. Give g(l(u)). 98*u Suppose -4*c - 12 = 0, 7 + 2 = 3*d - c. Let w(z) = -72*z**2 + 4. Let a(p) = 144*p**2 - 10. Let x(u) = d*a(u) + 5*w(u). Let n(j) = -3*j. Give x(n(i)). -648*i**2 Let b(o) = -45815*o**2 + o. Let h(u) = u - 337. Determine h(b(z)). -45815*z**2 + z - 337 Let f(a) = 42794598*a**2. Let m(k) = k. Determine f(m(l)). 42794598*l**2 Let g(m) = m**3 - 6*m**2 - 8*m + 7. Let q be g(7). Let u(x) = -x**2 + q*x**2 + x**2 - x**2. Let s(p) = 110*p. Calculate s(u(d)). -110*d**2 Let y(x) = 107959504*x**2 - x - 1. Let l(g) = -2*g**2. Give y(l(p)). 431838016*p**4 + 2*p**2 - 1 Let p(u) = 41*u**2 + 28. Let k(i) = -6*i**2 - 4. Let w(s) = -14*k(s) - 2*p(s). Let l(v) = 77*v + 2. Determine w(l(n)). 11858*n**2 + 616*n + 8 Let o be (-43 + 39)*(-3)/6. Let s(k) = 0*k + 111*k**2 + 2*k - 113*k**o - 2*k. Let j(m) = -3*m + 3*m - 12*m**2. Determine j(s(c)). -48*c**4 Let n(b) = -241*b + 4. Let h(y) = 67087*y**2. What is n(h(f))? -16167967*f**2 + 4 Let n(h) = -53499*h. Let w(j) = 68*j - 8. Determine w(n(a)). -3637932*a - 8 Let t(u) = 16*u. Let s(p) be the first derivative of -1/2*p**2 + 0*p + 74. What is s(t(k))? -16*k Let d(b) = 36*b**2 - 16. Let w(l) = 248*l - 569. Calculate w(d(v)). 8928*v**2 - 4537 Let g(r) = -r. Suppose -4*w = 13*o - 76, 0 = -o - 27*w + 29*w + 22. Let z(a) be the first derivative of o + 0*a - 9/2*a**2. Give z(g(s)). 9*s Let w(z) = -174*z**2 - 89. Let f(j) = 45*j**2 + 23. Let g(b) = 23*f(b) + 6*w(b). Let o(r) = -3*r**2 - 9*r. Calculate o(g(n)). -243*n**4 - 189*n**2 - 30 Let c(f) = -4541*f. Let y(k) = 1792*k. Determine c(y(j)). -8137472*j Let t(r) = -12*r. Let k(u) be the second derivative of u**5/120 + 3*u**3 - u**2 + 15*u + 1. Let x(m) be the second derivative of k(m). Calculate x(t(d)). -12*d Let d(f) = 16*f**2 + 4*f. Let z(c) = 7722*c**2 - 390. Let x(m) = 20*m**2 - 1. Let o(v) = -390*x(v) + z(v). Give d(o(j)). 97344*j**4 - 312*j**2 Let p(n) = -3*n. Let b(o) = -2*o**2 - 2043093. What is p(b(z))? 6*z**2 + 6129279 Let f(x) = 1881*x. Let p(d) = 443*d**2 - 1. What is p(f(q))? 1567405323*q**2 - 1 Let w(j) = -5254*j**2. Let g(o) = -27*o - 51 + 29*o + 19 + 32. Determine g(w(c)). -10508*c**2 Let s(i) be the first derivative of -3*i**2 + 3231. Let q(b) = -21*b - 2. Determine s(q(g)). 126*g + 12 Let q(k) = -26*k - 24*k + 89*k - 2 - 26*k - 10*k. Let g(l) = -24*l. Determine q(g(r)). -72*r - 2 Let k(p) = -2*p. Let m(g) = 952*g + 7700. Let j(h) = -25. Let n(q) = 1232*j(q) + 4*m(q). Determine n(k(u)). -7616*u Let l(g) = -325*g - 1. Let o(n) = -n**2 + 54*n. Give l(o(t)). 325*t**2 - 17550*t - 1 Let u(w) = -67*w - 2. Let i(m) = 2*m + 2625. Calculate u(i(y)).
{ "pile_set_name": "DM Mathematics" }
erm of -725, -1387, -1973, -2483, -2917, -3275, -3557? 38*v**2 - 776*v + 13 What is the v'th term of 2915, 2893, 2871? -22*v + 2937 What is the r'th term of 606, 1218, 1830, 2442, 3054, 3666? 612*r - 6 What is the q'th term of 161253, 161250, 161245, 161238, 161229? -q**2 + 161254 What is the r'th term of 700, 731, 782, 853? 10*r**2 + r + 689 What is the x'th term of -7036224, -7036228, -7036234, -7036242? -x**2 - x - 7036222 What is the h'th term of 2849, 11371, 25571, 45455, 71029, 102299, 139271, 181951? h**3 + 2833*h**2 + 16*h - 1 What is the c'th term of 3671, 7560, 11449, 15338? 3889*c - 218 What is the u'th term of 1512, 3095, 4678? 1583*u - 71 What is the i'th term of -2670, -2640, -2592, -2526, -2442? 9*i**2 + 3*i - 2682 What is the k'th term of -2998, -5997, -8988, -11971, -14946, -17913, -20872? 4*k**2 - 3011*k + 9 What is the k'th term of 5969, 5973, 5981, 5993, 6009, 6029? 2*k**2 - 2*k + 5969 What is the q'th term of 6051, 12111, 18173, 24237, 30303, 36371, 42441? q**2 + 6057*q - 7 What is the z'th term of -29136, -29140, -29144, -29148, -29152, -29156? -4*z - 29132 What is the g'th term of -302465, -302463, -302461? 2*g - 302467 What is the v'th term of -994, -1986, -2978, -3970, -4962, -5954? -992*v - 2 What is the o'th term of 26898, 26894, 26890, 26886, 26882, 26878? -4*o + 26902 What is the x'th term of -40, -150, -320, -562, -888, -1310, -1840, -2490? -2*x**3 - 18*x**2 - 42*x + 22 What is the r'th term of -18551546, -18551550, -18551556, -18551564, -18551574, -18551586, -18551600? -r**2 - r - 18551544 What is the l'th term of 147, 591, 1333, 2373? 149*l**2 - 3*l + 1 What is the c'th term of -2317, -4571, -6761, -8887, -10949? 32*c**2 - 2350*c + 1 What is the m'th term of -32050, -128206, -288466, -512830, -801298, -1153870, -1570546? -32052*m**2 + 2 What is the s'th term of -4564, -3995, -3428, -2863, -2300, -1739? -s**2 + 572*s - 5135 What is the n'th term of 43, 121, 253, 439, 679? 27*n**2 - 3*n + 19 What is the o'th term of 51, 421, 1493, 3639, 7231, 12641, 20241, 30403? 62*o**3 - 21*o**2 - o + 11 What is the f'th term of 755941, 755943, 755945? 2*f + 755939 What is the o'th term of -61, -10, 43, 98, 155, 214, 275? o**2 + 48*o - 110 What is the x'th term of -8839387, -8839386, -8839385, -8839384, -8839383, -8839382? x - 8839388 What is the w'th term of 11, 91, 229, 425, 679, 991? 29*w**2 - 7*w - 11 What is the n'th term of 537, 1108, 1675, 2238, 2797, 3352, 3903? -2*n**2 + 577*n - 38 What is the y'th term of -2502, -4998, -7494, -9990, -12486, -14982? -2496*y - 6 What is the m'th term of 1400272, 1400274, 1400276, 1400278, 1400280? 2*m + 1400270 What is the n'th term of 127206, 127205, 127204, 127203? -n + 127207 What is the i'th term of 1417765, 2835526, 4253287, 5671048? 1417761*i + 4 What is the x'th term of -470, -535, -600? -65*x - 405 What is the z'th term of 10133, 20296, 30459, 40622, 50785, 60948? 10163*z - 30 What is the h'th term of 92430, 184863, 277296, 369729? 92433*h - 3 What is the w'th term of 5530, 5512, 5478, 5428, 5362? -8*w**2 + 6*w + 5532 What is the m'th term of -869, -1802, -2805, -3884, -5045? -m**3 - 29*m**2 - 839*m What is the i'th term of -120416, -120408, -120400, -120392? 8*i - 120424 What is the y'th term of 15, -23, -65, -117, -185, -275, -393, -545? -y**3 + 4*y**2 - 43*y + 55 What is the j'th term of 3705, 14870, 33473, 59508, 92969? -j**3 + 3725*j**2 - 3*j - 16 What is the t'th term of -32978, -32971, -32964, -32957, -32950? 7*t - 32985 What is the c'th term of -257, -461, -675, -905, -1157, -1437? -c**3 + c**2 - 200*c - 57 What is the s'th term of -1, 259, 525, 797, 1075, 1359? 3*s**2 + 251*s - 255 What is the c'th term of 3622272, 7244544, 10866816, 14489088, 18111360, 21733632? 3622272*c What is the o'th term of 1684, 1525, 1376, 1243, 1132, 1049, 1000? o**3 - o**2 - 163*o + 1847 What is the q'th term of -247, -499, -751, -1003, -1255, -1507? -252*q + 5 What is the i'th term of -31892, -63885, -95878? -31993*i + 101 What is the k'th term of -28, -570, -2094, -5092, -10056? -82*k**3 + k**2 + 29*k + 24 What is the w'th term of -1396, -2772, -4126, -5452, -6744, -7996, -9202, -10356? w**3 + 5*w**2 - 1398*w - 4 What is the v'th term of 3639, 13068, 28777, 50760, 79011, 113524, 154293, 201312? -v**3 + 3146*v**2 - 2*v + 496 What is the l'th term of 4598, 9247, 13896, 18545? 4649*l - 51 What is the g'th term of 857499, 857488, 857477, 857466, 857455, 857444? -11*g + 857510 What is the a'th term of -1706, -1650, -1488, -1166, -630, 174, 1300? 9*a**3 - a**2 - 4*a - 1710 What is the o'th term of 163800, 163839, 163878, 163917, 163956, 163995? 39*o + 163761 What is the b'th term of -3612, -3617, -3622, -3627, -3632, -3637? -5*b - 3607 What is the z'th term of 14997, 14991, 14985, 14979, 14973, 14967? -6*z + 15003 What is the z'th term of 58197, 58209, 58235, 58281, 58353, 58457? z**3 + z**2 + 2*z + 58193 What is the k'th term of 1088, 1087, 1074, 1043, 988, 903, 782, 619? -k**3 + 6*k + 1083 What is the u'th term of 68937, 137875, 206815, 275757, 344701, 413647? u**2 + 68935*u + 1 What is the a'th term of 204362, 204361, 204360, 204359, 204358? -a + 204363 What is the c'th term of -1070, -1115, -1164, -1217, -1274, -1335? -2*c**2 - 39*c - 1029 What is the l'th term of 424, 3368, 11376, 26986, 52736? 423*l**3 - 6*l**2 + l + 6 What is the j'th term of -12009, -12013, -12017, -12021, -12025? -4*j - 12005 What is the s'th term of 1113, 1097, 1051, 963, 821, 613? -2*s**3 - 3*s**2 + 7*s + 1111 What is the u'th term of -208, -211, -210, -205, -196, -183? 2*u**2 - 9*u - 201 What is the u'th term of -543, -87, 369, 825? 456*u - 999 What is the x'th term of 105536, 211070, 316604, 422138? 105534*x + 2 What is the p'th term of 15025, 15028, 15031, 15034? 3*p + 15022 What is the u'th term of 168, 193, 170, 75, -116, -427? -4*u**3 + 53*u + 119 What is the x'th term of -53143, -53150, -53159, -53170, -53183, -53198? -x**2 - 4*x - 53138 What is the d'th term of 231930, 463862, 695794, 927726, 1159658? 231932*d - 2 What is the a'th term of 4768, 4690, 4600, 4492, 4360, 4198, 4000, 3760? -a**3 - 71*a + 4840 What is the g'th term of 3814, 7893, 11972, 16051, 20130? 4079*g - 265 What is the w'th term of 215, 884, 1993, 3536, 5507? -w**3 + 226*w**2 - 2*w - 8 What is the k'th term of 5140, 10280, 15420, 20560? 5140*k What is the p'th term of 1733808, 1733810, 1733812, 1733814, 1733816, 1733818? 2*p + 1733806 What is the k'th term of -12883, -12886, -12893, -12904? -2*k**2 + 3*k - 12884 What is the c'th term of -3012, -3062, -3110, -3156, -3200, -3242, -3282? c**2 - 53*c - 2960 What is the k'th term of 1143, 1114, 1085, 1056, 1027, 998? -29*k + 1172 What is the l'th term of -2061975, -2061974, -2061973, -2061972, -2061971, -2061970? l - 2061976 What is the h'th term of -5639, -22565, -50779, -90287, -141095? -h**3 - 5638*h**2 - 5*h + 5 What is the r'th term of 2130, 2129, 2126, 2121? -r**2 + 2*r + 2129 What is the r'th term of 5011, 5214, 5553, 6028, 6639, 7386? 68*r**2 - r + 4944 What is the q'th term of -311, -217, -131, -59, -7, 19, 13? -q**3 + 2*q**2 + 95*q - 407 What is the d'th term of 3066, 6114, 9162, 12210, 15258? 3048*d + 18 What is the i'th term of -600921, -1201844, -1802769, -2403696? -i**2 - 600920*i What is the s'th term of -2973, -2916, -2835, -2724, -2577, -2388? s**3 + 6*s**2 + 32*s - 3012 What is the f'th term of 13, 228, 589, 1102, 1773? f**3 + 67*f**2 + 7*f - 62 What is the t'th term of 449, 467, 489, 509, 521? -t**3 + 8*t**2 + t + 441 What is the u'th term of -7105, -14173, -21227, -28261, -35269, -42245? u**3 + u**2 - 7078*u - 29 What is the b'th term of -6973, -8348, -9725, -11104, -12485, -13868? -b**2 - 1372*b - 5600 What is the r'th term of 590, 7875, 20016, 37013? 2428*r**2 + r - 1839 What is the w'th term of 666, 1103, 1540, 1977? 437*w + 229 What is the x'th term of 398, 841, 1284, 1727? 443*x - 45 What is the y'th term of 3185, 6399, 9617, 12839, 16065? 2*y**2 + 3208*y - 25 What is the p'th term of -449, -455, -465, -479? -2*p**2 - 447 What is the m'th term of -2295, -2152, -2009, -1866? 143*m - 2438 What is the h'th term of -11, 40, 121, 238, 397, 604, 865, 1186? h**3 + 9*h**2 + 17*h - 38 What is the t'th term of 105, 203, 295, 375, 437, 475? -t**3 + 3*t**2 + 96*t + 7 What is the u'
{ "pile_set_name": "DM Mathematics" }
1 Let a be (-5 + (-46)/(-10))/(2/10). Let p(b) = 2*b**2 + 2*b - 2. Calculate the remainder when 7 is divided by p(a). 1 Let z(l) be the second derivative of l**4/3 - 2*l**3 - l**2/2 - 18*l. Calculate the remainder when z(5) is divided by 14. 11 Let k = -17 + 22. Let z(h) = 2*h**2 - 5*h. What is the remainder when 98 is divided by z(k)? 23 What is the remainder when 81 is divided by (-9)/(-30)*5*(-8)/(-3)? 1 What is the remainder when 260 is divided by -12 + 4 + 60 - (-10 - -4)? 28 Suppose 0 = 11*l - 188 + 12. What is the remainder when 28 is divided by l? 12 Suppose -4*c - 335 = -5*z, -4*z - 7*c + 4*c = -237. Calculate the remainder when 70 is divided by z. 7 Suppose -3*r = -4*f + 20 - 57, 0 = 4*r - 3*f - 40. Let k(z) = 2*z**2 - 13*z - 20. Calculate the remainder when k(9) is divided by r. 4 Let s = 688 + -574. What is the remainder when s is divided by 14? 2 Suppose 5*m - 55 = -3*b, 2*b - 2*m - m - 62 = 0. Let x(p) = 6*p - 5. Calculate the remainder when b is divided by x(2). 4 Let l(f) = -2*f - 1. Let n be l(2). Let k(b) = -5*b + 3. Let y = 214 + -204. Calculate the remainder when k(n) is divided by y. 8 Suppose 0*f = -3*f - 12. Let r be (1 + 0)*(f - -3). Let q(o) = -49*o - 3. Calculate the remainder when q(r) is divided by 10. 6 Let g be (-4)/6 + (-1102)/3. Let d = g + 570. Suppose -v = 2*v + 5*q - d, -5*v - 4*q = -341. Calculate the remainder when v is divided by 35. 34 Let r = -34 + 71. Suppose r = y - 5*c, -3*c = -y + c + 34. What is the remainder when 84 is divided by y? 18 Suppose 2*u = -45 + 105. Suppose -3*k = -0*k + 3*o - 45, -3*k + 2*o + u = 0. Let c(r) = 10*r - 4. Calculate the remainder when c(5) is divided by k. 10 Let v = 5 - 0. Let i = v + 69. Suppose -o = -2*z - 17, -z + 6*z + 33 = 2*o. Calculate the remainder when i is divided by o. 17 Let u(t) = t**2 + 5*t - 3. Let l be (1/(-1) + -2)*3. Let q = l + 28. Calculate the remainder when q is divided by u(-7). 8 Let m(y) = y**2 + y. Let h(l) = 6*l**2 + l - 1. Let w(k) = h(k) - 4*m(k). What is the remainder when (-19)/38 + 189/14 is divided by w(3)? 5 Let u be (-2)/((-8)/10)*16. Suppose -u = -5*f + 15. Suppose -c + 2 = -18. What is the remainder when c is divided by f? 9 Suppose -18*j = -46 - 188. What is the remainder when j is divided by 5? 3 Suppose -3*c = -32 - 7. Suppose -w - c = -16. What is the remainder when 6 is divided by w? 0 Let d = -5 + 16. Let j be (-4)/(-3)*4/(8/(-9)). Let i = j + d. Calculate the remainder when 13 is divided by i. 3 Suppose 624 = 4*k + i - 0*i, 0 = -6*k - 5*i + 936. Calculate the remainder when k is divided by 53. 50 What is the remainder when 279 is divided by (14/8)/(-4 - (-966)/240)? 69 Calculate the remainder when 233 is divided by 20/(4 - 8)*-1. 3 Let y be 9*(-3)/(-36)*4. Suppose -10 = -5*q, 4*m = y*q - 5*q + 572. Calculate the remainder when m is divided by 29. 26 Let q(n) = 8*n - 2. Let g be (-10 + 0)/(-2) - 1. Let l be q(g). Suppose 18 = 3*x - l. Calculate the remainder when 61 is divided by x. 13 Suppose -52 - 8 = -12*j. Calculate the remainder when 10 is divided by j. 0 Suppose 0 = -j - 4, v + 3*v - 20 = 4*j. Let y be (8/(-10))/(8/(-20)). Suppose -1 = -y*u + 1. What is the remainder when u is divided by v? 0 Let k = 21 + -19. Suppose -9*s + 5 = -4*s. What is the remainder when 73 is divided by k/(-4)*(s + -77)? 35 Let j(r) = -r**2 + 13*r + 400. Calculate the remainder when j(0) is divided by 131. 7 Let h = -94 + 155. What is the remainder when h is divided by 47? 14 Suppose -4*f = 2*y - 628, 0 = f - 4*y - 211 + 36. Let p(k) = -105*k**2 + k. Let c be p(1). Let u = f + c. Calculate the remainder when u is divided by 14. 13 Let g = -96 + 96. Suppose -2*t + 4 = 8, g = 3*q + 2*t - 20. What is the remainder when 8 is divided by q? 0 Suppose -s = -j - 0*s + 38, 5*s - 62 = -2*j. Suppose 96 = 47*d - 31*d. Calculate the remainder when j is divided by (26/d)/(5/15). 10 Let t(i) = -i**2 - 17*i + 7. Let a = 100 + -88. What is the remainder when t(-12) is divided by a? 7 Let x(v) = 22*v**2 - 13. Let l be x(-3). Suppose -5*r - 70 = -l. What is the remainder when 40 is divided by r? 17 Let q = 14 - 11. Suppose 0 = -5*k - 3*v - 26, v + 4 = k - q*v. Calculate the remainder when 19 is divided by 148/28 + k/14. 4 Suppose -n = 0, -n - 21 = -5*b + 14. Let j(x) = x**2 - 6*x - 1. Calculate the remainder when b is divided by j(7). 1 Suppose -117 + 1055 = 7*x. Calculate the remainder when x is divided by 15. 14 Calculate the remainder when (422/3)/(-1)*(-45)/30 is divided by 12. 7 Let f(q) = q**3 + 9*q**2 + 5*q + 6. Calculate the remainder when f(-5) is divided by 31. 19 Let t be 64/(-96) - 14/6. Let q(r) = -r**2 + r + 1. Let c(m) = 3*m**2 - 3*m. Let g(o) = 2*c(o) + 4*q(o). Calculate the remainder when 109 is divided by g(t). 25 Suppose -4*d - 155 = -559. Suppose h + 4*h - 15 = 0, -2*h + d = 5*y. Calculate the remainder when 55 is divided by y. 17 Let y be 5 + 68 + 12/(-4). What is the remainder when 5/((-30)/18) + y + 1 is divided by 23? 22 Suppose -5*y + 10 + 15 = 0. Suppose j - 18 = -f, -2*j - 4*f = -6*f - 36. What is the remainder when j is divided by y? 3 What is the remainder when 2/(-3)*915/(-10) is divided by (-4)/5 + -6 + 1140/50? 13 Suppose 0 = 2*d + 4, 0*d - 5*d = 4*u - 134. Calculate the remainder when 250 is divided by u. 34 Suppose -3*o - 35 = -8*o. What is the remainder when o is divided by 110/38 - -7*(-20)/(-1330)? 1 Suppose 2*b - 5*o - 42 = 0, -5*b = 4*o + o - 140. Calculate the remainder when (-1653)/(-145)*((-40)/(-6) + 0) is divided by b. 24 Suppose -3 = -q + 16. Calculate the remainder when q is divided by 7. 5 Let a(g) = g**2 - 7*g + 12. Let k be a(6). Calculate the remainder when 155 is divided by ((-64)/k + 2)*6/(-2). 25 Let l = 557 - 520. What is the remainder when 216 is divided by l? 31 Suppose -61 = 14*n + 93. Let y = n + 29. Calculate the remainder when 51 is divided by y. 15 Let y(s) = -s + 13. Let m be y(13). Suppose 29 = l - o, -3*l + m*l + o + 97 = 0. What is the remainder when 100 is divided by l? 32 Suppose 5329 = 18*k + 1693. Calculate the remainder when k is divided by 41. 38 Let s(n) = 3*n + 3. Let i(b) = b**2 - 2*b + 2. Let w be i(4). Let f be s(w). Let j = -24 + f. Calculate the remainder when 26 is divided by j. 8 Suppose f + f + 4*o = 22, 5*o = -3*f + 30. Suppose 0*m - 40 = -4*h + 4*m, h + f*m = 16. What is the remainder when 32 is divided by h? 10 Suppose -3*v + 4*v + 5 = 3*f, -5*f + 4*v + 6 = 0. Let l(y) = -6*y + 234. What is the remainder when l(20) is divided by 1/f*2*29? 27 Let l(w) = w**3 - 2*w**2 + 6*w + 1. Calculate the remainder when l(4) is divided by 44. 13 Let o(n) = n**2 + 5*n - 2. Calculate the remainder when 15 is divided by o(1). 3 Suppose 0 = -2*c, -3*n + 112 = 3*c - 50. Calculate the remainder when 209 is divided by n. 47 Let a be (0 + 5)*(-84)/70. Let t = a + 19. Calculate the remainder when 49 is divided by t. 10 Let w(s) = 2*s**2 + 31*s + 12. Let j be w(-16). Let x(n) = 4*n**2 - 5*n - 3. Let z be x(-3). Let q = z + j. Calculate the remainder when q is divided by 27. 22 Let g(r) = -r**2 - 8*r - 8. Let d be g(-6). Let j(p) = 4*p - 1 + 1 - 2 - 1. What is the remainder when 23 is divided by j(d)? 10 Let p = 2 - -55. Let s = -188 + 203. Calculate the remainder when p is divided by s. 12 Let f = 32 + -32. Suppose f = 9*g - 219 + 12. What is the remainder when g is divided by 6? 5 Suppose -22 = -5*z - o - 0*o, 4*o = z - 17. What is the remainder when 17 is divided by (-4 - 1)/(z/(-10))? 7 Suppose -2*b + 4*d = -20 + 4, 2*b - 16 = 2*d. Let j = b - -37. What is the remainder when j is divided by 12? 9 Let p(n) = 4*n + 8. Let q be p(-3). What is the remainder when q/16 - (-141)/4 is divided by 9? 8 Suppose -c = 3*y - 237, 0 = -4*c + 3*y - 385 + 1288. Suppose 11*h = c + 355. What is the remainder when h is divided by 18? 17 Let w = -12 - -88. Suppose 2*z = 18 + w. Let x = z - 12. What is the remainder when x is divided by 12? 11 Let f(c) = c**3 - 8*c**2 - 9*c + 3. Let r be f(9). Suppose -3*u = -r*s + s - 105, 0 = -s. What is the remainder when u is divided by 18? 17 Let d(n) be the first derivative of -n**2 + 11*n + 15. Suppose -3*t = 3*o - 27, -4*t + 8 = o - 1. What is the remainder when o is divided by d(3)? 4 Suppose 174 = -2*a + 31*a. What is the remainder when 33 is divided by a? 3 Let h = 1141 - 1091. W
{ "pile_set_name": "DM Mathematics" }
{k: 1, l: 8, t: 6}. Give prob of picking 3 t and 1 l. 32/273 Three letters picked without replacement from yxltixlfy. What is prob of picking 1 l, 1 f, and 1 i? 1/42 Calculate prob of picking 2 p and 2 h when four letters picked without replacement from pphphgpphhhhphh. 4/13 Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {a: 3, l: 3, o: 4, f: 6, b: 3}. 4/57 What is prob of picking 2 o when two letters picked without replacement from pojhhjwjohjs? 1/66 What is prob of picking 2 o when two letters picked without replacement from doodm? 1/10 Two letters picked without replacement from {c: 2, z: 2, t: 4, h: 4}. Give prob of picking 1 t and 1 c. 4/33 Four letters picked without replacement from rrrnrxmrgnrgggg. Give prob of picking 4 g. 1/273 Four letters picked without replacement from {j: 1, l: 2, c: 2}. Give prob of picking 2 c and 2 l. 1/5 Two letters picked without replacement from {t: 1, y: 3, l: 4, h: 1, w: 6}. What is prob of picking 1 h and 1 l? 4/105 Two letters picked without replacement from {b: 1, n: 1, f: 5, k: 1, g: 1}. What is prob of picking 1 f and 1 k? 5/36 What is prob of picking 1 o, 1 f, and 2 m when four letters picked without replacement from {m: 6, f: 3, c: 3, o: 1}? 9/143 Four letters picked without replacement from ujjuljboul. What is prob of picking 3 u and 1 o? 1/210 Calculate prob of picking 1 n and 1 m when two letters picked without replacement from mnffsfcsscfnffssd. 1/68 Two letters picked without replacement from rjvmgugvgrmrggm. What is prob of picking 2 j? 0 Four letters picked without replacement from {n: 3, b: 4, p: 9}. Give prob of picking 2 p, 1 b, and 1 n. 108/455 Four letters picked without replacement from ekkeeekeeeeeekkeek. Give prob of picking 4 e. 11/68 Three letters picked without replacement from uiuuuiuumimmimuu. What is prob of picking 1 u and 2 i? 3/35 Two letters picked without replacement from {v: 1, u: 2, f: 1}. Give prob of picking 1 v and 1 f. 1/6 What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 3, a: 3, x: 4, i: 1}? 3/55 Four letters picked without replacement from ppppooppppppop. Give prob of picking 4 p. 30/91 Three letters picked without replacement from {d: 1, t: 1, i: 2, w: 2, g: 2, z: 1}. What is prob of picking 1 t, 1 d, and 1 i? 1/42 Two letters picked without replacement from {w: 3, j: 1, b: 1}. What is prob of picking 1 w and 1 b? 3/10 Calculate prob of picking 4 j when four letters picked without replacement from nnnnjnnnnnnjjnnnjn. 1/3060 Three letters picked without replacement from {s: 13, t: 3, e: 1}. Give prob of picking 3 s. 143/340 Three letters picked without replacement from {y: 3, s: 1}. Give prob of picking 1 s and 2 y. 3/4 Calculate prob of picking 1 z and 2 y when three letters picked without replacement from {e: 4, q: 1, y: 7, p: 2, z: 3}. 63/680 Four letters picked without replacement from {y: 1, w: 12, c: 1, n: 2, d: 2, s: 2}. What is prob of picking 1 s and 3 w? 88/969 What is prob of picking 1 i and 1 b when two letters picked without replacement from offwbffoifio? 1/33 What is prob of picking 2 p, 1 l, and 1 u when four letters picked without replacement from lululpuuplupupuul? 12/119 Two letters picked without replacement from {r: 2, e: 1, y: 1, m: 1}. Give prob of picking 1 r and 1 y. 1/5 What is prob of picking 1 c, 1 x, and 1 o when three letters picked without replacement from {v: 1, r: 1, x: 1, o: 2, c: 1, a: 1}? 2/35 Two letters picked without replacement from yymy. Give prob of picking 1 y and 1 m. 1/2 Calculate prob of picking 2 c and 1 n when three letters picked without replacement from {c: 3, x: 3, v: 5, r: 1, n: 1}. 3/286 Three letters picked without replacement from {f: 1, u: 1, e: 1, h: 3, n: 1}. Give prob of picking 1 f, 1 e, and 1 u. 1/35 Three letters picked without replacement from rookkvkrrqkq. What is prob of picking 1 v, 1 o, and 1 k? 2/55 What is prob of picking 2 z when two letters picked without replacement from hzzhhzvpphhzhzzpz? 21/136 Two letters picked without replacement from {u: 1, b: 2, q: 1, v: 9}. What is prob of picking 1 q and 1 v? 3/26 What is prob of picking 1 h, 1 d, and 1 t when three letters picked without replacement from {g: 5, h: 2, d: 1, a: 2, t: 4, l: 1}? 8/455 Three letters picked without replacement from vbsqwvws. Give prob of picking 1 v, 1 q, and 1 w. 1/14 Four letters picked without replacement from {y: 18, n: 1, f: 1}. What is prob of picking 4 y? 12/19 Two letters picked without replacement from {u: 1, h: 1, j: 1, l: 2, r: 1, k: 2}. Give prob of picking 1 l and 1 h. 1/14 What is prob of picking 3 c and 1 b when four letters picked without replacement from {i: 6, b: 6, c: 7, e: 1}? 14/323 Two letters picked without replacement from {u: 7, c: 2, n: 3, a: 1, j: 5}. Give prob of picking 1 j and 1 a. 5/153 What is prob of picking 1 t and 2 u when three letters picked without replacement from uppuupuppuunptuu? 1/20 Two letters picked without replacement from vvvvvveevvvvv. Give prob of picking 2 e. 1/78 Four letters picked without replacement from lllll. Give prob of picking 4 l. 1 Two letters picked without replacement from wwbbzllwbgy. Give prob of picking 1 z and 1 y. 1/55 Calculate prob of picking 1 n, 1 g, and 1 l when three letters picked without replacement from {x: 1, l: 7, g: 4, n: 8}. 56/285 Three letters picked without replacement from ihfiffdfdipppifp. What is prob of picking 1 i and 2 p? 3/70 What is prob of picking 1 d, 1 m, 1 v, and 1 h when four letters picked without replacement from hmxhhovxmxdomhd? 8/455 Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {g: 1, a: 2, i: 1, u: 1, c: 1, n: 1}. 2/21 What is prob of picking 1 g and 1 v when two letters picked without replacement from {e: 1, w: 11, h: 1, v: 1, g: 6}? 3/95 Two letters picked without replacement from bqbbbbqbbbbbqbb. What is prob of picking 2 q? 1/35 Calculate prob of picking 2 m when two letters picked without replacement from {a: 2, m: 5, h: 2}. 5/18 Three letters picked without replacement from {b: 3, o: 1, m: 3, e: 1, v: 2, x: 2}. Give prob of picking 2 m and 1 b. 9/220 Four letters picked without replacement from vfffffffffvvffvfff. What is prob of picking 3 f and 1 v? 364/765 Calculate prob of picking 2 z, 1 v, and 1 e when four letters picked without replacement from {e: 2, v: 9, z: 2, y: 3}. 9/910 Four letters picked without replacement from ssqqqqsssqssqsqsqqs. What is prob of picking 4 s? 35/646 Three letters picked without replacement from fhfffhffhfffhfffhf. What is prob of picking 3 h? 5/408 Calculate prob of picking 1 i, 1 l, and 1 w when three letters picked without replacement from rwilddcrldwl. 3/110 Three letters picked without replacement from miimqqmiqwiiqiqmm. What is prob of picking 1 w and 2 i? 3/136 Four letters picked without replacement from {a: 2, u: 2, m: 1, b: 5, l: 4}. Give prob of picking 3 l and 1 m. 4/1001 Calculate prob of picking 1 w, 1 l, and 1 o when three letters picked without replacement from {z: 3, o: 4, w: 1, a: 2, l: 1}. 4/165 What is prob of picking 1 i and 2 g when three letters picked without replacement from ggggggggiggggigggg? 5/17 Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, w: 5, g: 7}. 1/20 What is prob of picking 1 p and 1 t when two letters picked without replacement from {t: 8, p: 3, i: 7}? 8/51 What is prob of picking 3 v when three letters picked without replacement from {d: 3, v: 8}? 56/165 Four letters picked without replacement from {b: 6, m: 2, h: 3, y: 1, i: 2}. Give prob of picking 3 h and 1 i. 2/1001 Two letters picked without replacement from {p: 3, d: 2, q: 3, g: 6, v: 1}. Give prob of picking 1 v and 1 q. 1/35 Three letters picked without replacement from {c: 1, e: 1, f: 1, q: 2, r: 1, u: 2}. Give prob of picking 1 c and 2 q. 1/56 Two letters picked without replacement from {z: 2, l: 2, k: 1, i: 1}. Give prob of picking 1 k and 1 l. 2/15 Calculate prob of picking 2 l, 1 y, and 1 s when four letters picked without replacement from {y: 6, l: 3, n: 1, s: 3}. 54/715 Four letters picked without replacement from {p: 2, s: 2, f: 1, b: 3, a: 2, n: 2}. Give prob of picking 2 a and 2 b. 1/165 What is prob of picking 1 y an
{ "pile_set_name": "DM Mathematics" }
3, n: 1, m: 6}. What is prob of sequence nof? 1/1140 Three letters picked without replacement from uuuuuuxuuxu. Give prob of sequence uux. 8/55 Four letters picked without replacement from hbhhqqqqqqh. Give prob of sequence qhbq. 1/66 Three letters picked without replacement from {r: 7, x: 2}. Give prob of sequence xrr. 1/6 What is prob of sequence ikeo when four letters picked without replacement from kkxkieikxxeoeikxxk? 1/1360 Two letters picked without replacement from qwcw. Give prob of sequence qc. 1/12 What is prob of sequence kv when two letters picked without replacement from {k: 2, v: 3}? 3/10 Three letters picked without replacement from phyxa. What is prob of sequence pya? 1/60 Calculate prob of sequence dnnd when four letters picked without replacement from {e: 1, d: 2, j: 4, o: 1, m: 3, n: 4}. 1/1365 Four letters picked without replacement from ffrr. What is prob of sequence frfr? 1/6 Three letters picked without replacement from yyyaayuyuaaay. What is prob of sequence ayu? 5/143 Two letters picked without replacement from mljiilmmll. Give prob of sequence ij. 1/45 Three letters picked without replacement from {s: 3, g: 2, v: 5, r: 1, b: 1, p: 1}. Give prob of sequence bss. 1/286 Four letters picked without replacement from {y: 7, c: 3, u: 3, d: 1, w: 1, n: 3}. Give prob of sequence cudu. 1/4080 What is prob of sequence ob when two letters picked without replacement from ososssosoosooosobo? 5/153 Two letters picked without replacement from vvvtvtvvtttvv. Give prob of sequence vt. 10/39 Two letters picked without replacement from kqk. Give prob of sequence qk. 1/3 Two letters picked without replacement from kkbkjkkkojbk. Give prob of sequence kk. 7/22 Three letters picked without replacement from {g: 7, m: 1, p: 5}. What is prob of sequence mgg? 7/286 Calculate prob of sequence oxy when three letters picked without replacement from oxoyoyxyo. 1/21 Two letters picked without replacement from ezefeeefreeeeeezeee. Give prob of sequence ef. 14/171 Three letters picked without replacement from oeelvvqul. Give prob of sequence eql. 1/126 Calculate prob of sequence jde when three letters picked without replacement from {e: 5, d: 1, s: 3, j: 1}. 1/144 What is prob of sequence cq when two letters picked without replacement from qcc? 1/3 Three letters picked without replacement from ilbbwicicibl. What is prob of sequence ibc? 1/55 Calculate prob of sequence dd when two letters picked without replacement from {o: 3, d: 3, k: 2, a: 2, y: 5}. 1/35 What is prob of sequence ztl when three letters picked without replacement from {z: 2, t: 5, l: 4, p: 7, b: 2}? 1/171 Three letters picked without replacement from {w: 2, y: 4, u: 3}. Give prob of sequence uuy. 1/21 Calculate prob of sequence hhw when three letters picked without replacement from {e: 9, w: 2, h: 2, o: 5, g: 2}. 1/1710 What is prob of sequence bbbu when four letters picked without replacement from bbbu? 1/4 Three letters picked without replacement from {m: 1, l: 2, w: 8, d: 1, j: 3, e: 1}. Give prob of sequence mlw. 1/210 What is prob of sequence vvnn when four letters picked without replacement from {v: 2, n: 2, m: 1}? 1/30 Calculate prob of sequence kek when three letters picked without replacement from usrooesrkkek. 1/110 Calculate prob of sequence ulel when four letters picked without replacement from alealu. 1/180 What is prob of sequence hmq when three letters picked without replacement from qoohohhqom? 1/120 Two letters picked without replacement from {a: 4, t: 3, m: 2}. Give prob of sequence ta. 1/6 Four letters picked without replacement from {i: 5, w: 2}. What is prob of sequence iiii? 1/7 Calculate prob of sequence ooos when four letters picked without replacement from ossssssosssossss. 1/560 What is prob of sequence gggg when four letters picked without replacement from ggggggg? 1 Calculate prob of sequence fvf when three letters picked without replacement from {v: 1, f: 3}. 1/4 Calculate prob of sequence sw when two letters picked without replacement from sweww. 3/20 Three letters picked without replacement from {p: 13, m: 6}. What is prob of sequence mpp? 52/323 Four letters picked without replacement from ahharrrrhrahiraa. Give prob of sequence rara. 5/364 What is prob of sequence uav when three letters picked without replacement from {v: 5, r: 1, a: 2, c: 2, e: 2, u: 2}? 5/546 Two letters picked without replacement from {d: 1, o: 1, e: 2, x: 1}. Give prob of sequence eo. 1/10 Four letters picked without replacement from wrtwwwttrwtkwwtwtwge. Give prob of sequence wtge. 3/6460 What is prob of sequence jkd when three letters picked without replacement from {x: 1, k: 1, d: 1, o: 2, j: 2}? 1/105 Three letters picked without replacement from {g: 6, a: 1, i: 1, y: 2, u: 3}. Give prob of sequence yau. 1/286 Four letters picked without replacement from {z: 2, u: 1, n: 1, s: 2, c: 1, r: 1}. What is prob of sequence nsur? 1/840 Three letters picked without replacement from mqm. Give prob of sequence mqm. 1/3 Calculate prob of sequence jww when three letters picked without replacement from wjkbbiiwwbzbzbbwbbwi. 1/342 What is prob of sequence zng when three letters picked without replacement from nglgmzzmq? 1/126 Calculate prob of sequence grr when three letters picked without replacement from grgrssgggssgggs. 8/1365 Three letters picked without replacement from {o: 2, p: 1}. What is prob of sequence opo? 1/3 What is prob of sequence qoon when four letters picked without replacement from {o: 5, q: 2, n: 6}? 2/143 What is prob of sequence bq when two letters picked without replacement from bbqnj? 1/10 What is prob of sequence ay when two letters picked without replacement from {a: 3, y: 1}? 1/4 Three letters picked without replacement from ppwwwpww. What is prob of sequence ppw? 5/56 Four letters picked without replacement from kccckeeeekkkckc. What is prob of sequence kckk? 5/273 Calculate prob of sequence ypy when three letters picked without replacement from {p: 2, g: 2, y: 2, t: 2}. 1/84 Four letters picked without replacement from qqqqlqqllq. Give prob of sequence qlql. 1/20 Three letters picked without replacement from {d: 11, j: 7, v: 2}. What is prob of sequence jdd? 77/684 What is prob of sequence ono when three letters picked without replacement from {o: 5, n: 1, f: 2, r: 1, u: 6}? 2/273 Two letters picked without replacement from {n: 2, u: 3, b: 5}. What is prob of sequence nb? 1/9 Calculate prob of sequence qkqk when four letters picked without replacement from {e: 2, q: 2, k: 5}. 5/378 What is prob of sequence rum when three letters picked without replacement from {u: 3, r: 2, m: 3}? 3/56 Calculate prob of sequence xlx when three letters picked without replacement from {l: 2, x: 3}. 1/5 Calculate prob of sequence zee when three letters picked without replacement from zeez. 1/6 What is prob of sequence ca when two letters picked without replacement from qaaqcaaqc? 1/9 Three letters picked without replacement from {b: 13, e: 2, g: 5}. Give prob of sequence gee. 1/684 Calculate prob of sequence fp when two letters picked without replacement from {p: 7, f: 2}. 7/36 Two letters picked without replacement from catnt. What is prob of sequence tc? 1/10 Calculate prob of sequence un when two letters picked without replacement from nzuooozzuzozooozzzoz. 1/190 Calculate prob of sequence bb when two letters picked without replacement from jbbljllbbb. 2/9 What is prob of sequence pz when two letters picked without replacement from {z: 4, x: 1, j: 2, p: 3}? 2/15 What is prob of sequence jj when two letters picked without replacement from jjvjvvjvjj? 1/3 What is prob of sequence xx when two letters picked without replacement from kkbbkkbkkxbbkekx? 1/120 Three letters picked without replacement from kbkcyykkky. Give prob of sequence ckk. 1/36 Two letters picked without replacement from ohwwymf. What is prob of sequence fo? 1/42 Four letters picked without replacement from {i: 4, r: 5, y: 6, k: 1}. Give prob of sequence rrrr. 1/364 Three letters picked without replacement from wsriisii. Give prob of sequence sis. 1/42 Two letters picked without replacement from {w: 3, j: 3, x: 5}. Give prob of sequence jx. 3/22 Two letters picked without replacement from {b: 5, y: 8, z: 4, f: 2}.
{ "pile_set_name": "DM Mathematics" }
j(-6). -10 Let z(x) = -x**2 - 32*x + 3320. Give z(44). -24 Let a(d) = -284*d + 1728. Determine a(6). 24 Let v(j) = -j**2 + 112*j - 780. Calculate v(7). -45 Let r(j) = 4*j**2 + 167*j - 254. Calculate r(-47). 733 Let z(m) = -m**2 + 59*m + 3289. What is z(94)? -1 Let d(c) = c**3 - 25*c**2 - 136*c - 91. Determine d(30). 329 Let k(r) = -21*r + 415. Determine k(18). 37 Let z(f) = -3*f + 57. Determine z(20). -3 Let a(j) = 183*j + 4435. Give a(-24). 43 Let j(b) = 38*b**3 + 3*b**2 - 5*b + 3. What is j(1)? 39 Let s(r) = -15*r - 152. What is s(-9)? -17 Let t(d) = d**2 - 17*d - 77. Calculate t(22). 33 Let s(k) = -2*k**3 + 6*k**2 + 25*k - 8. Calculate s(-6). 490 Let h(o) = -75*o**2 - 26*o + 4. Calculate h(-1). -45 Let s(p) = -3*p**3 - 37*p + 149. Calculate s(5). -411 Let s(c) = 6310*c - 82028. Determine s(13). 2 Let q(s) = -1450*s - 7277. Calculate q(-5). -27 Let q(p) = 3*p**3 + 70*p**2 + 403*p - 2. Give q(-10). -32 Let w(b) = 4*b**3 + 41*b**2 + 97*b - 12. Give w(-5). 28 Let a(b) = -15404*b + 154025. Calculate a(10). -15 Let z(q) = -2*q**3 - 35*q**2 - 142*q + 39. What is z(-9)? -60 Let n(x) = -22880*x + 228803. What is n(10)? 3 Let q(k) = -k**3 - 17*k**2 + 22*k - 673. Calculate q(-20). 87 Let p(a) = -a**2 - 4*a + 118. Determine p(9). 1 Let k(w) = 7*w**2 + 171*w + 73. Determine k(-24). 1 Let n(l) = -l**2 + 34*l + 3690. Give n(80). 10 Let j(p) = -3*p**3 + 51*p**2 - 148*p + 2. Calculate j(4). 34 Let u(q) = 7762*q + 279423. What is u(-36)? -9 Let u(y) = 78*y + 4236. Calculate u(-50). 336 Let l(d) = -d**3 - 36*d**2 - 260*d + 14. Give l(-26). 14 Let d(s) = -150*s + 21597. Give d(144). -3 Let x(m) = -4258*m + 34068. Calculate x(8). 4 Let c(z) = -2*z**2 + 109*z + 893. Determine c(62). -37 Let t(o) = 2*o**3 + 21*o**2 + 58*o - 4. Give t(-7). -67 Let n(s) = -121*s + 14795. Give n(122). 33 Let b(t) = 38*t + 162. Give b(-5). -28 Let u(n) = 459*n - 12860. Give u(28). -8 Let v(x) = -2*x**3 + 22*x**2 + 2*x - 22. What is v(11)? 0 Let i(j) = 77*j + 543. What is i(-7)? 4 Let r(j) = 19*j + 635. Determine r(-32). 27 Let i(s) = 3*s**2 + 46*s + 71. Determine i(-13). -20 Let w(m) = -m**2 + 5*m + 83. Give w(10). 33 Let t(x) = 2*x**2 - 123*x - 5597. Calculate t(92). 15 Let s(n) = 137*n - 7509. Give s(55). 26 Let c(t) = t**2 - 133*t + 1548. Give c(12). 96 Let q(i) = 20*i + 1827. Calculate q(-91). 7 Let l(w) = 2*w**3 + 30*w - 104. Give l(6). 508 Let l(k) = -4*k**2 + 197*k + 183. Determine l(50). 33 Let x(l) = 24*l**2 - 890*l + 78. What is x(37)? 4 Let h(c) = -2*c**2 + 35*c + 368. Determine h(23). 115 Let r(j) = -588*j - 8814. What is r(-15)? 6 Let l(a) = 13*a - 271. What is l(16)? -63 Let i(h) = 11*h - 106. Determine i(16). 70 Let i(y) = -y**2 + 67*y + 955. Calculate i(79). 7 Let w(a) = -789*a + 3188. Determine w(4). 32 Let x(u) = 123*u - 355. What is x(0)? -355 Let w(d) = d**2 + 28*d + 119. Determine w(-25). 44 Let k(j) = 2*j**2 + 243*j + 1059. Give k(-117). 6 Let w(i) = -i**3 - 14*i**2 - 44*i + 1. What is w(-5)? -4 Let r(z) = 38*z - 727. Calculate r(20). 33 Let v(y) = -49*y**2 + 1812*y + 28. Give v(37). -9 Let b(t) = -29*t + 176. What is b(13)? -201 Let q(r) = r**2 - 10631*r + 63754. Give q(6). 4 Let v(g) = -g**2 - 232*g + 2308. Calculate v(10). -112 Let c(w) = w**3 + 14*w**2 - 34*w - 21. Determine c(-16). 11 Let p(t) = t**3 - 30*t**2 + 74*t + 16. Give p(3). -5 Let v(h) = h**2 - 219*h + 2873. Give v(14). 3 Let o(s) = -s**2 + 1798*s - 83998. Determine o(48). 2 Let k(w) = -92*w**2 - 428*w + 428. Give k(1). -92 Let n(x) = -88*x + 1983. Give n(19). 311 Let r(s) = 4*s**2 - 32. Calculate r(0). -32 Let q(j) = 1429*j - 85742. Determine q(60). -2 Let u(r) = -r**3 - 3*r**2 + 59*r + 56. Determine u(-9). 11 Let u(w) = w**3 - 11*w**2 + 22*w - 5. Give u(9). 31 Let v(x) = x**3 - 14*x**2 + 243*x - 2999. Give v(13). -9 Let t(g) = g**2 - 112*g + 1774. Determine t(19). 7 Let p(x) = x**2 - 74*x - 1491. Calculate p(91). 56 Let q(g) = -11*g**2 - 2493*g - 1582. What is q(-226)? 0 Let o(n) = -6*n**2 - 45*n - 82. Determine o(-6). -28 Let w(n) = 4*n**2 + 19*n + 154. What is w(-10)? 364 Let a(n) = 2*n**3 - 2*n**2 + 6*n - 43. Determine a(0). -43 Let b(p) = -5*p**3 + 5*p**2 + 9*p + 4. Determine b(-1). 5 Let n(w) = 2*w**2 - 31*w + 191. Determine n(5). 86 Let u(y) = y**2 - y - 873. What is u(30)? -3 Let g(i) = i**3 + 2*i**2 - 24*i + 62. Calculate g(-6). 62 Let r(s) = 1030*s - 2057. Calculate r(2). 3 Let u(w) = -100*w + 497. Determine u(5). -3 Let p(l) = 227*l + 671. What is p(-3)? -10 Let b(c) = 57*c + 136. Calculate b(-2). 22 Let w(d) = -14*d**2 + 34*d - 252. Determine w(5). -432 Let x(t) = -t**2 - 31*t - 160. Give x(-35). -300 Let t(y) = 68*y - 1735. Determine t(26). 33 Let c(s) = -2267*s + 11305. Determine c(5). -30 Let r(f) = -f**3 - 162*f**2 + 836*f + 253. Give r(-167). 86 Let v(r) = 69*r + 508. Determine v(-7). 25 Let h(l) = 1717*l - 8601. Give h(5). -16 Let m(i) = 10*i**2 - 167*i - 439. Give m(19). -2 Let m(s) = -221*s - 15460. Give m(-70). 10 Let l(t) = -13*t**3 - 61*t**2 + 2*t + 8. Calculate l(-5). 98 Let d(l) = 4574*l - 41168. What is d(9)? -2 Let t(u) = 42*u - 114. Give t(-4). -282 Let h(r) = 2*r**3 + 3*r**2 - 59*r + 3. Determine h(6). 189 Let q(i) = 97*i + 4563. Give q(-47). 4 Let i(l) = -27*l**3 + 9*l**2 + 15*l + 10. Calculate i(-1). 31 Let m(o) = -o**3 + 31*o**2 - 71*o + 2216. Give m(31). 15 Let a(x) = x**3 - 11*x**2 + 11*x - 80. Determine a(11). 41 Let o(w) = 3*w**2 + 105*w + 845. Determine o(-9). 143 Let d(z) = -4*z**2 + 203*z + 51. Give d(51). 0 Let d(p) = 18*p**2 - 122*p + 40. Determine d(3). -164 Let o(j) = 1562*j - 18755. Calculate o(12). -11 Let i(t) = -4*t - 35. Calculate i(-10). 5 Let i(z) = -127*z + 735. What is i(6)? -27 Let a(n) = 3*n**3 - 198*n - 400. Determine a(-2). -28 Let h(l) = 3*l**2 - 14*l - 2. Give h(5). 3 Let n(q) = -5737*q - 57369. Calculate n(-10). 1 Let k(s) = -s**2 - 57*s + 192. Calculate k(-58). 134 Let t(u) = u**2 - 27*u + 232. Calculate t(15). 52 Let o(v) = v**3 - 4*v**2 + 790*v - 3978. What is o(5)? -3 Let y(i) = -2*i**3 - i**2 - 32*i - 104. Give y(-3). 37 Let m(i) = 2*i**2 + 8*i - 32. Calculate m(-21). 682 Let g(x) = x**2 - 29*x - 39. Give g(16). -247 Let l(m) = 18*m**2 - 41*m - 148. Give l(-2). 6 Let b(c) = -8872*c - 88713. Give b(-10). 7 Let s(u) = -u**3 + 32*u**2 - 145*u + 60. Give s(5). 10 Let t(m) = 8*m - 29. Calculate t(9). 43 Let q(j) = 9*j**3 - 710*j**2 - 80*j + 122. Determine q(79). 43 Let c(y) = -115*y - 781. Determine c(-7). 24 Let a(l) = l**2 + 101*l - 1004. What is a(9)? -14 Let t(a) = 4*a**2 + 45*a + 123. What is t(-7)? 4 Let v(d) = d**2 - 93*d + 1256. Determine v(16). 24 Let v(x) = -x**3 - 8*x**2 - 2*x - 16. Determine v(-9). 83 Let j(f) = -59*f - 417. Give j(-7). -4 Let s(w) = 36*w + 247. Determine s(-7). -5 Let h(y) = -590*y + 56. What is h(0)? 56 Let o(y) = 174*y + 1250. Give o(-8). -142 Let n(o) = -o**3 - 21*o**2 + o + 488. Give n(-20). 68 Let v(w) = 826*w - 3304. Calculate v(4). 0 Let r(w) = -11*w**2 - 167*w + 342. Determine r(-17). 2 Let n(m) = 29*m**2 - 11*m - 22. Give n(-2). 116 Let o(y) = -y**3 - 34*y**2 + 73*y + 28. Calculate o(-36). -8 Let c(a) = -74*a + 270. What is c(3)? 48 Let d(k) = 2*k**2 + 11*k - 1143. Determine d(-27). 18 Let f(g) = -3*g**2 - 9*g - 12. Calculate f(-6). -66 Let u(p) = p**2 + 30*p - 564. What is u(-43)? -5 Let k(i) = -305*i - 6412. Determine k(-21). -7 Let g(l) = -43*l - 90. Calculate g(-1). -47 Let m(x) = 7*x**2 - 343*x - 124. What is m(49)? -124 Let o(z) = -4097*z + 286788. Give o(70). -2 Let u(c) = 2*c**2 - 155*c + 1666. Give u(13). -11 Let c(u) = 25*u**3 + 41*u**2 + 88*u + 7. Calculate c(-2). -205 Let a(i) = i**2 + 346*i - 4298. Calculate a(12). -2 Let c(w) = 29*w + 746. Determine c(-9). 485 Let c(g) = 14*g - 151. Give c(10). -11 Let k(f) = 9*f**3 + 19*f**2 + 9*f + 3. What is k(-2)? -11 Let n(c) = c - 99. What is n(23)? -76 Let c(v) = v**3 - 16*v**2 + 55*v + 16. What is c(11)? 16 Let m(z) = 11*z**2 - 95*z - 30. Determine m(9). 6 Let m(q) = 67*q**2 + 3889*q + 171. Determine m(-58). -3 Let p(g) = 99*g - 159. Determine p(2). 39 Let l(g) = -g + 107. Give l(64). 43 Let d(g) = -5135*g - 15364. Give d(-3). 41 Let k(z) = -226*z - 433. What is k(-2)? 19 Let x(w) = w**3 - 189*w**2 - 3499*w - 632. Determine x(206). -14 Let x(p) = -4*p**2 - 21*p + 375. What is x(7)? 32 Let k(h) = -h**3 + 7*h**2 + 112*h - 497. Calculate k(4)
{ "pile_set_name": "DM Mathematics" }
+ -2*sqrt(2268)))/((-5*sqrt(36)*-1 + sqrt(36))/(1*sqrt(36) + sqrt(9))). 11*sqrt(7) Simplify 0 + 4 + (5 + (sqrt(2299) + sqrt(2299)*-2 + 1 + sqrt(2299))**2)*4 + 0. 28 Simplify (3*(2 + ((sqrt(720) - (sqrt(720)*-1 - sqrt(720))) + sqrt(720) - sqrt(720)) + 4 + sqrt(720)*2 + sqrt(720) + -2 + -2 + sqrt(720) + -3)*-4)**2. -24192*sqrt(5) + 5080464 Simplify -5*(-4 + (3*(sqrt(612)*3 + -2) + sqrt(612)*-2 + 0 + -2)**2). -150240 + 3360*sqrt(17) Simplify ((1 + sqrt(242))*5 + ((sqrt(242) - sqrt(242)*2)*3)**2 + -3 + (sqrt(242) + sqrt(242) + -3)**2 + -2 + 0)*-6. -18930 + 462*sqrt(2) Simplify (-1 + (sqrt(36) - 1*sqrt(900))/sqrt(3) + -4 + -3)*-3. 24 + 24*sqrt(3) Simplify 4*(0 + (-2*sqrt(80))**2 - sqrt(80) - 3*(sqrt(80) + 0) - (((-1*sqrt(80) + sqrt(80))*1 - sqrt(80)) + -3))*1 + -1. -48*sqrt(5) + 1291 Simplify sqrt(448)*-2*-2 + -4 + (sqrt(392)/sqrt(7) - sqrt(56))/sqrt(8) + (sqrt(35) - sqrt(105)/sqrt(3))/sqrt(5). -4 + 32*sqrt(7) Simplify -2 + sqrt(475)*-4 + -1 - (-5 + ((2 + sqrt(931) - sqrt(931))**2 - (sqrt(19) + sqrt(19) + ((sqrt(19) + -1)*3)**2))). -36*sqrt(19) + 178 Simplify -2 + -4 + sqrt(98)*4 - 6*(4*sqrt(64)/sqrt(8) - sqrt(8))**2. -438 + 28*sqrt(2) Simplify (((0 + sqrt(5))*-1 + sqrt(5))**2 + sqrt(90)/sqrt(2))*1*-4 + ((5*(sqrt(320) + 1) + sqrt(320))**2 - ((sqrt(320)*3 - sqrt(320))*4 + sqrt(320))). 396*sqrt(5) + 11545 Simplify 1 + -2*(3 + 6*(1 + sqrt(12))*-5)*-3. -360*sqrt(3) - 161 Simplify (sqrt(38)*5)/sqrt(2) + -3*sqrt(19) + sqrt(19) + 1 - (4*(-1 + sqrt(1216) + sqrt(1216))*-5)**2. -1945999 + 12803*sqrt(19) Simplify ((0 + 1*((sqrt(147) - (sqrt(147) - (2*sqrt(147) + sqrt(147) + sqrt(147)))) + -4) + -1)*1)**2. -280*sqrt(3) + 2377 Simplify ((-1 + sqrt(128) + 0 + sqrt(128))*-3)**2*1 + sqrt(20)/(sqrt(30)/sqrt(3)*-4) + sqrt(400)/sqrt(128). -287*sqrt(2) + 4617 Simplify (((4 + sqrt(175) + sqrt(175) + sqrt(175))*-3 - (-5 + -1 + sqrt(175))) + (-4*(sqrt(175) + -1*sqrt(175)) - -5*sqrt(175)*-1)*6)**2. 2400*sqrt(7) + 280036 Simplify 3*((3 + sqrt(180) + 1 - ((sqrt(180) + 0)**2 + sqrt(180) + 3)) + ((sqrt(180)*1 + 0)**2 - 1*sqrt(180)*6)). -108*sqrt(5) + 3 Simplify 2 + (sqrt(216)/(sqrt(24)/sqrt(2)))/sqrt(6) + 5 - ((-2*sqrt(243))/sqrt(9) - ((6*sqrt(12))**2 + (sqrt(12) - (sqrt(12) + -1)))). 7*sqrt(3) + 440 Simplify 5*(5 + sqrt(81)/sqrt(3) + ((sqrt(3) - sqrt(12)) + 2 - sqrt(3))**2*-6)*-4*5 + -2. -5100*sqrt(3) + 9098 Simplify (-3*(2 + (sqrt(68) - (-3 + sqrt(68) + 0)) - (sqrt(68)*-2*-1 + 4 + (sqrt(68) - (sqrt(68) + -1))))*-5)**2 + 3. 61203 Simplify 0 + ((-3*(1 + sqrt(1216) - sqrt(1216))*2)**2 - ((sqrt(1216)*-1 + sqrt(1216) + 1)*6)**2). 0 Simplify (-2*6*-2*sqrt(187))/(sqrt(110)/(sqrt(10) - sqrt(10)*-2) - sqrt(55)/(sqrt(10)/sqrt(2))) + 1. -36*sqrt(17) + 1 Simplify -4 + (5 + sqrt(700) + -2 + -4*sqrt(700)*-6 + (2*(1 + sqrt(700)) + 4)*-3)**2. -5700*sqrt(7) + 252921 Simplify (-5 + 1 + sqrt(55)/sqrt(5) + (-2 + sqrt(22)/sqrt(2) - sqrt(11)) + -5 + (sqrt(121)/(-1*sqrt(11)) - (sqrt(11)*4 + -3)))**2. 64*sqrt(11) + 240 Simplify ((-4 + (sqrt(1053) - (-1*sqrt(1053) + sqrt(1053)))*-5 + 3 + (sqrt(1053) - -1*sqrt(1053)) + 5 + -3)*3)**2. -486*sqrt(13) + 85302 Simplify -3 + -3*(-2*sqrt(7488)*1 + sqrt(7488))*4*5 + 2. -1 + 1440*sqrt(13) Simplify ((sqrt(136) - (3*sqrt(136) + sqrt(136))*3)/(4*sqrt(392)) + 4)*-6. -24 + 33*sqrt(17)/14 Simplify (5*sqrt(242)*2 + 4 + sqrt(18)/(sqrt(18)/sqrt(2)) + -2*sqrt(14)/sqrt(7))**2 + -4. 872*sqrt(2) + 23774 Simplify (2*6*sqrt(38)/(-1*sqrt(18) + sqrt(2) + sqrt(2)))**2 - (3*(0 + sqrt(1900))**2 + sqrt(1900))*5*-2. 100*sqrt(19) + 59736 Simplify ((sqrt(300) + -1 + (sqrt(300) + sqrt(300) + -1 + sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300)))*6 + 0 + (-1 + (sqrt(300) + sqrt(300)*1)*1)*-6)**2. 720*sqrt(3) + 10836 Simplify (-1 + -5 + ((sqrt(1700) + 0 + -1)*-6 + 6*(sqrt(1700) - (sqrt(1700)*-2 - sqrt(1700))) + sqrt(1700) + -1*(-1 + sqrt(1700)))*5)**2. 52200*sqrt(17) + 13770841 Simplify ((4*(-5*2*sqrt(171) - sqrt(171) - (sqrt(171) + (sqrt(171) - 5*(-2*sqrt(171) - sqrt(171))))))/(6*sqrt(36)*5 + ((sqrt(144) - sqrt(36))*-1)/sqrt(4)))**2. 238336/3481 Simplify -5 + (sqrt(30) - sqrt(360)/(sqrt(12) + sqrt(24)/sqrt(2)))/(3*sqrt(96)) + -3*((sqrt(90)/sqrt(3))/sqrt(6)*-4)**2. -245 + sqrt(5)/24 Simplify -4 + -1*(-2*sqrt(153)*1*4)/(-6*(sqrt(9) + 1*sqrt(9)*-2)). -4 + 4*sqrt(17)/3 Simplify (1 + (4*1*sqrt(77) + (sqrt(77)*-2*-5 - sqrt(77)))/((sqrt(891) - sqrt(891)*-1)*6))**2. 13*sqrt(7)/54 + 12847/11664 Simplify (2*3*sqrt(171)*3)/(sqrt(54)/(((sqrt(96) - sqrt(96)*-3) + sqrt(96) - sqrt(96)) + sqrt(96))) + 5. 5 + 360*sqrt(19) Simplify (-4 + sqrt(180)/(2*sqrt(10)) + -4 + -1)**2 + -4 + (1 + 2*sqrt(1152))*3. 169/2 + 117*sqrt(2) Simplify ((2*sqrt(891) + -5 + 1 - (-5 + 1 + sqrt(891) + sqrt(891))*-5) + -5)**2. -6264*sqrt(11) + 129145 Simplify (2*(sqrt(99) + -3*(sqrt(99) + 3*sqrt(99)) + -3)*-6*2)**2. 114048*sqrt(11) + 6905088 Simplify (-5 + 1*sqrt(162)*-6 - ((sqrt(162) + -1 + sqrt(162) + -4 + sqrt(162) - sqrt(162)) + -1)**2)*5. -3445 + 810*sqrt(2) Simplify (-1*(sqrt(133) + sqrt(133)*1) + sqrt(133) + 1*sqrt(133)*-5)/(-1*(-1*sqrt(28)*2 - sqrt(28))). -sqrt(19) Simplify (-6*sqrt(2736)*-4 + sqrt(2736) - sqrt(2736))**2 + 3 + ((sqrt(19) + 3 + -5)*-5 + 5)**2. -150*sqrt(19) + 1576639 Simplify (5*sqrt(22)*3)/(sqrt(11) + sqrt(55)/(sqrt(245) - sqrt(5))) + ((sqrt(16)/sqrt(4)*-2 + sqrt(4))/sqrt(2) + -5)**2*-6. -162 - 330*sqrt(2)/7 Simplify (2 + sqrt(19) + sqrt(76) + 1 + (sqrt(19) - 2*sqrt(152)/sqrt(8)) + -2*(sqrt(76)/sqrt(4)*-1 - (sqrt(19) - (0 + sqrt(304)))))**2. -12*sqrt(19) + 85 Simplify (6*((sqrt(68)*-4 - sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68)) - (3*sqrt(68)*-4 + sqrt(68)))/(4*sqrt(100) + (sqrt(4) - sqrt(8)/sqrt(18))). -75*sqrt(17)/62 Simplify 5 + (5*(sqrt(121) + sqrt(121)*1*4)*-3)/((sqrt(11) - sqrt(1331)*3) + sqrt(132)/(sqrt(12)*-1)). 5 + 25*sqrt(11)/11 Simplify 3 + (-1*4*sqrt(76)*-2)/(1*(sqrt(484) - (sqrt(484) - (sqrt(484) + sqrt(484) + 3*sqrt(484))))). 8*sqrt(19)/55 + 3 Simplify (1*(sqrt(320) + -1))**2 + (sqrt(320) + (2 + sqrt(320))*4)**2 - (4*(-2 + sqrt(320) + sqrt(320)) + 4 + (sqrt(320) - (-4 + sqrt(320)))). 560*sqrt(5) + 8385 Simplify (2*(3*sqrt(1331)*-2 - (sqrt(1331) + 2)*-5 - (3*(sqrt(1331) - (-1 + sqrt(1331))) + 5 + -1 + sqrt(1331))))**2. -528*sqrt(11) + 21332 Simplify (sqrt(832) + sqrt(832) + -1 + 2 + -1)*3*-4 - (-4 + (1 + -1 + sqrt(832) - -3*(0 + sqrt(832)))**2)*1. -13308 - 192*sqrt(13) Simplify -2*(-1*(1*sqrt(7) + 4)*-2 - (sqrt(126)*4 + sqrt(14))/(sqrt(8)/sqrt(4)*6 + sqrt(2)))*-4. 8*sqrt(7)/7 + 64 Simplify (sqrt(10)/(sqrt(18)/(sqrt(27)/sqrt(3))) + -1*(-2 + 1 + sqrt(5)))**2 + (sqrt(50) + 4*sqrt(50)*1 - sqrt(50))/(sqrt(10) - -3*sqrt(490)). 2*sqrt(5)/11 + 1 Simplify -2*(1 + ((-2*sqrt(17))**2 - sqrt(17))) + 0 + sqrt(68)/(sqrt(8)/sqrt(2)) + 5*((2 + (sqrt(1088)*2 - sqrt(1088)) + sqrt(1088) + sqrt(1088))*1)**2. 483*sqrt(17) + 48842 Simplify (((sqrt(3500) + 1*sqrt(3500) + sqrt(3500))*5 - sqrt(3500)*2*-4)/(5*(sqrt(2000) + (sqrt(2000)*-2 - sqrt(2000)))))**2*-3. -11109/400 Simplify 4 + 0 + (sqrt(112) + ((sqrt(112) + (sqrt(112) - (1*sqrt(112) + sqrt(112))))*-6)**2 + -5 - (sqrt(77)*2*1)/(sqrt(891)*2)). -1 + 35*sqrt(7)/9 Simplify (-2*(sqrt(65) + (sqrt(65) - (-1*sqrt(65) - sqrt(65) - sqrt(65) - sqrt(65))) + sqrt(65))*2*-3)/(-5*-6*-2*sqrt(500)). -7*sqrt(13)/50 Simplify (2 + sqrt(1008) + 3 + sqrt(1008)*2 + -5 + ((sqrt(1008) + 0)*1 - (sqrt(1008) + 1)*6))**2. 288*sqrt(7) + 4068 Simplify (-1*sqrt(1088))**2*6 - ((sqrt(17) - (sqrt(34)/sqrt(2) + -3)) + sqrt(17))*6 - ((1*sqrt(204))/sqrt(12)*-4 - (sqrt(2057) + 1*(-1 + sqrt(2057)))**2). -46*sqrt(17) + 14739 Simplify -1 + 3*(4 + sqrt(252) + -5 - sqrt(252))*-1*4 + 1. 12 Simplify -2 + ((0 + sqrt(72) - sqrt(72)) + 4 - (sqrt(72) + 0 + -1))**2 + -3*((sqrt(72) - sqrt(72)*2)*-6)**2 + -2. -7683 - 60*sqrt(2) Simplify (5*-3*(1*(sqrt(1584) + 0)*-1 - ((0 + sqrt(1584) - sqrt(1584)) + -5 - sqrt(1584))*-2))**2. 162000*sqrt(11) + 3230100 Simplify (-6*(sqrt(34)/(1*sqrt(72))*4 + 5*(0 + sqrt(17)) + (sqrt(136)*3)/sqrt(8)))**2. 45968 Simplify 3*(4 + -1 + -4*((sqrt(153) - (sqrt(153)*2 - sqrt(153))) + 4) + -3 + 4). -36 Simplify (((-3 + sqrt(931)*-2 - (sqrt(931)*2 + -5))*4 + 0)*-3)**2. -16128*sqrt(19) + 2145600 Simplify 1*((-1 + sqrt(153) + 3)**2 - ((4*sqrt(1088))**2 + sqrt(1088) + sqrt(17))*-1) + -4 + 3. 21*sqrt(17) + 17564 Simplify ((-2*sqrt(126)*-2)/(sqrt(144)*5))/((sqrt(336)/sqrt(150))/(-2*sqrt(51
{ "pile_set_name": "DM Mathematics" }
e remainder when s(y) is divided by g? 14 Suppose 0*n + 9*n + 414 = 0. What is the remainder when 91 is divided by 4/(-1)*n/8? 22 Let a(l) = -91*l - 581. What is the remainder when 447 is divided by a(-7)? 55 Let f be 3 - -3 - 0 - 0/2. Let j(c) = c - 3. Calculate the remainder when j(f) is divided by 2. 1 Suppose 4*l = 340 - 48. Calculate the remainder when 216 is divided by l. 70 Let m(c) = -274*c**3 + 3*c + 5. Calculate the remainder when m(-1) is divided by 75. 51 Let l = 4 + -1. Suppose l*c - 42 = 9. Calculate the remainder when c is divided by 7. 3 Suppose 7*q + 0*q = 70. Suppose -3*j + 3*n + 51 = 0, 3*n + q = j - 7. What is the remainder when -1 + 17*2 - 0 is divided by j? 16 Let t(x) = -3*x**3 - x. Let m be t(2). Let d = m - -43. Suppose 3*z = 4*u + 120, -u + 30 + d = z. What is the remainder when z is divided by 15? 14 Suppose -3*h = -3 - 3. Suppose -6*l + 116 = -h*l. What is the remainder when 114 is divided by l? 27 Let q(p) = 5*p - 65. Let z be q(7). Let h = z - -83. What is the remainder when 104 is divided by h? 51 Let m(p) = 5*p - 25*p**2 - 6 + 26*p**2 + 0. Let l be m(-8). Suppose 2*c - 3*y - l = 0, 3*c - 4*y - 1 = 27. What is the remainder when 22 is divided by c? 10 Let b = 834 - 752. Calculate the remainder when 655 is divided by b. 81 Let p(o) = o**2 + 6*o - 22. Suppose 9*g - 43 = 2. What is the remainder when p(g) is divided by 9? 6 Suppose 4*z + 0*k = -4*k + 108, -z + 27 = -2*k. What is the remainder when 204 is divided by z? 15 Suppose -h = 2*h - 4*u - 413, 4*h = -u + 576. Suppose -4*j + 25 = -h. Calculate the remainder when j is divided by 11. 9 Suppose 2*j + 4*p - 86 = -0*p, -4*p = 0. Suppose -2*x - 13 = -2*c - 5*x, 4*c - 11 = -x. Suppose 0 = c*f + 4 - 48. What is the remainder when j is divided by f? 21 Suppose -145 = -5*k + 45. What is the remainder when ((-7)/2)/(22/(-1188)) is divided by k? 37 Suppose 0 = -2*c - c + 4*i - 20, 5*i + 37 = -4*c. What is the remainder when 141 is divided by (-4)/1 + (-224)/c? 21 Let k(y) = -y**2 - 11*y - 14. Let d be k(-8). What is the remainder when 44 is divided by 15 - 5/(d/6)? 8 Let w = -90 + 74. Let n(t) = -10*t - 67. Calculate the remainder when n(w) is divided by 19. 17 Let f(j) = -3*j + 33. Calculate the remainder when f(-14) is divided by 11. 9 Let h be -1 + 57/(-9)*-3. Let r = h - 11. Suppose -o - 31 = -33. Calculate the remainder when r is divided by o. 1 Suppose 3*z = -0*z + 4*i - 13, 14 = -2*z + 4*i. Let m = z + 4. Suppose -16 = -4*p + x, 2*p = -2*x + m + 13. What is the remainder when p is divided by 2? 1 Let t(s) = s**3 + 7*s**2 - 14*s - 1. What is the remainder when t(-5) is divided by 41? 37 Let c = 48 - 32. Let s = 10 - 11. Let x = c + s. What is the remainder when 43 is divided by x? 13 Suppose -11 = -4*g - 39. Let m(r) = r**3 + 7*r**2 - 8*r - 1. Calculate the remainder when m(g) is divided by 14. 13 Suppose 0 = 5*n - 21 + 1. Suppose -31 = -5*c + m, 11 = 4*c + n*m - 9. What is the remainder when (86/c)/(3/9) is divided by 22? 21 Suppose 3*c + 3*c - 36 = 0. Suppose 0 = -i - 4*t + 22, 4*t - 2*t = -5*i + 146. What is the remainder when 353/c*2 + 2/(-3) is divided by i? 27 Calculate the remainder when 74 is divided by (3/2)/((-270)/1008)*-5. 18 Let s = -51 + 232. Suppose 0 = 3*w + 15, -3*z - z + s = -w. What is the remainder when z is divided by 9? 8 Suppose -4*t - 4*q + 201 = -259, -q = -3. Let m be ((-96)/t)/(1/(-7)). Suppose -m*g + 115 = -g. What is the remainder when g is divided by 6? 5 Let a(s) = 6*s**2 + 20*s + 29. Calculate the remainder when a(-7) is divided by 23. 22 Suppose 4*w = -c + 383, 4*w - 22 - 346 = 4*c. Suppose w = 2*u - 5. Suppose -33*i + 38*i - u = 0. What is the remainder when 38 is divided by i? 8 Suppose 3*c = -1 + 16. Suppose c*w - 75 = 4*u - 9*u, -16 = -4*w. What is the remainder when 20 is divided by u? 9 Let s(q) = -q**2 + q. Let n be s(-1). Let w(m) = -m**3 + 4*m**2 + 3*m + 7. Let c be w(5). Let j = n - c. What is the remainder when 3 is divided by j? 0 Let p(n) = n**2 - 18*n + 78. Let c be p(12). Suppose -4*h = a - 37, 68 = c*a - 4*a + 2*h. What is the remainder when a is divided by (-6)/((-2)/9*3)? 6 Suppose 0 = 2*n + 3*o + 16 - 240, 0 = -n - 2*o + 113. Suppose 0 = p + s - 20, 5*p + 0*s = s + 112. What is the remainder when n is divided by p? 21 Let f be ((-16)/(-24))/((-3)/432). Let c = f - -156. What is the remainder when c is divided by 16? 12 Let c(b) be the second derivative of 2*b**3/3 - 7*b**2 - 3*b. What is the remainder when 37 is divided by c(6)? 7 Suppose -11*g - 13*g = -408. Calculate the remainder when 21 is divided by g. 4 Let u be (76/(-6))/(24/72). Let q = -24 - u. What is the remainder when 26 is divided by q? 12 Suppose 4*i - 9 = 3*i. Let b = -8 - i. Let c = 29 + b. What is the remainder when 23 is divided by c? 11 Let z be 65 - (4 + 2 + -5). Let p = z - 41. Calculate the remainder when 91 is divided by p. 22 Let u = 1282 - 1261. Calculate the remainder when 30 is divided by u. 9 Suppose y + 4*h + 5 + 0 = 0, 4*h = 4*y. Let z(x) = x**2 - 8*x**3 + x**2 - 4*x**2 - 2*x - 1. What is the remainder when 11 is divided by z(y)? 4 Suppose 2*v + 3*o - 21 = 0, -4*v + 3*o + 22 = 5*o. Suppose -v*u + 0*u + 15 = 0. What is the remainder when 67 is divided by (u/(5/(-34)))/(-2)? 16 Let b(y) = 4*y**3 + 13*y**2 - 14*y. Let p(q) = 3*q**3 + 12*q**2 - 13*q. Let h(n) = 4*b(n) - 5*p(n). What is the remainder when 35 is divided by h(7)? 7 Suppose -16*r + 18*r - 38 = 0. Let q = -300 - -157. Let z = -70 - q. Calculate the remainder when z is divided by r. 16 What is the remainder when 67 is divided by -64 + 62 + 10*1? 3 Suppose -2*x + 15 = 3*x. Suppose -2*r - 4*q + 12 = 0, -r + 6*q + 21 = 3*q. Calculate the remainder when r is divided by x. 0 Suppose -o = -v - 0*o + 37, 0 = -4*v - 2*o + 118. Suppose -43*u = -46*u - 3, 2*m + 4*u - 2 = 0. Calculate the remainder when v is divided by m. 2 Let h be (4 + 0)/((-4)/16). Calculate the remainder when 2/((6/(-3))/h) is divided by 8. 0 Let s(p) = -2*p**3 + 5*p + 3. Let m be s(-3). Let z = m - 20. Suppose -d - 429 = -5*r, 2*r - 4*d + 176 = 4*r. Calculate the remainder when r is divided by z. 20 Suppose 2*x = x + 8. Let f(t) = 4*t + 5. Suppose 0 = 3*c - 2*j - 6, -2*c + 2 = -c - 5*j. What is the remainder when f(c) is divided by x? 5 Let x = -304 + 318. Let h(j) = 19*j - 8. Let l be h(6). Suppose -2*v + 159 = 3*y, -y - 3*v = y - l. Calculate the remainder when y is divided by x. 11 Let z = 254 + -221. What is the remainder when 37 is divided by z? 4 Let b(t) = 3*t**2 + 60*t + 122. Calculate the remainder when 307 is divided by b(-2). 13 Suppose 3*j + 29 = r, -4*r = 4*j + 7 - 203. What is the remainder when 49 is divided by r? 5 Let g(a) = -5*a**2 - 123*a - 58. Calculate the remainder when 56 is divided by g(-24). 0 Let c(z) = z**3 - 4*z**2 + 9*z - 27. Calculate the remainder when c(6) is divided by 25. 24 Let p(y) = y**3 - 12*y**2 - 13*y + 2. Let t be p(13). Suppose 81 = -i + t*i. Calculate the remainder when i is divided by 17. 13 Let i(m) = -4*m - 20. What is the remainder when i(-8) is divided by 10 - (-4 + (4 - -1))? 3 Calculate the remainder when -11 + 3712/(5 + -3) is divided by 13. 12 Suppose 12 = -w - 5*u, 5*w - 7 = -3*u - 1. Suppose w = 4*r - 9. Suppose 4*q - 8*q + 4 = 0, -3*q = 2*x - 11. Calculate the remainder when x is divided by r. 1 Suppose c - 12 - 4 = 0. Suppose -4*q + 2 + 6 = 0. Suppose u + q*l - 318 = -4*u, 3*u - 2*l = 178. Calculate the remainder when u is divided by c. 14 What is the remainder when (2 + (-465)/6)*-2 is divided by ((-39)/(-4))/(1037/(-272) + 4)? 47 Let q(z) = 4*z**2 - 2*z - 3. Let u be (-2)/(-3)*(-72)/(-16). Suppose u = -i + 2*i. What is the remainder when q(i) is divided by 10? 7 Let m(z) = z**2 + 16*z + 63. Suppose -2*p + 25 = 3*p. Suppose 299 = p*f - 176. Calculate the remainder when f is divided by m(-13). 23 Suppose 24*m - 27*m + 612 = 0. Calculate the remainder when m is divided by 53. 45 Suppose z = -5*l + 111, -4*z = -2*l + 102 - 62. Calculate the remainder when 53 is divided by l. 9 Let m = -569 + 581. What is the remainder when 958 is divided by m? 10 Let c(d) = -30*d**3. Suppose -3*u - 34 = -5*u. What is the remainder when c(-1) is divided by u? 13 Let m(w) = 4*w**3 + 5*w**2 - 4*w + 2. Let p(c) = -2*c**3 - 3*c**2 + 2*c - 1. Let z(q) = 3*m(q) + 5*p(q). What is the
{ "pile_set_name": "DM Mathematics" }
3 - 1 + 2*d - 5. Calculate b(3). 3 Let v = 120 - 120. Let w(u) be the third derivative of u**6/120 + u**5/60 - u**4/24 - u**3/2 + u**2. Give w(v). -3 Let z(r) = -2*r**2 + 7*r - 1. Let o = -90 + 95. What is z(o)? -16 Let g(j) = 3*j**3 - 10*j**2 - 9*j + 3. Let v(m) = -m**3 + 3*m**2 + 3*m - 1. Let w(b) = -3*g(b) - 8*v(b). Determine w(6). 17 Let l(w) = w + 5 - 6 - 4*w. Let t be (0 - 1) + (-2)/1. Give l(t). 8 Let m = -49 + 21. Let a = m + 50. Suppose 0 = -3*g - 9, -a = 3*k + 2*k - g. Let i(z) = z**2 + 5*z - 3. Determine i(k). -3 Let s = -8 - -9. Let m(x) = 5*x. Calculate m(s). 5 Let x(q) = -3*q**2 - 5*q - 12. Let v(k) = -4*k**2 - 5*k - 13. Let u(r) = 4*v(r) - 5*x(r). Suppose -4 = -c + 2*n - 0, -5*c = -4*n - 26. Determine u(c). 2 Suppose 0 = 5*i + 1 - 16. Let z(k) = -k**3 + 3*k**2 - 2*k. What is z(i)? -6 Suppose c + 4*c - 10 = 0. Let y be (c + -2)*(-3)/9. Let g(n) = -n**3 + 5*n + 3. Let i(a) = a**3 - 4*a - 3. Let m(l) = -4*g(l) - 5*i(l). What is m(y)? 3 Let u(z) = 3*z**2 - 8*z - 6. Let c(d) = 7*d**2 - 17*d - 13. Let o(j) = -4*c(j) + 9*u(j). Calculate o(-3). 1 Let b(l) be the third derivative of -l**6/60 - l**5/20 - l**4/24 + 2*l**2. Suppose 0*u + u + 4*m = 2, 4*m = -3*u - 2. Calculate b(u). 6 Let v = -16 - -19. Let x(l) = -2*l + 2. Give x(v). -4 Let q be 5/(-2)*(-12)/10. Suppose -c + 2 = 2*v - 1, 0 = -v + q. Let y(w) = -w + 1. Determine y(c). 4 Let c(x) = -x**2. Let a(s) = -s**2 + 8*s + 9. Let q(o) = -a(o) + 2*c(o). Determine q(-6). 3 Let s = -11 + 7. Let d(w) = -w**2 - 6*w - 2. What is d(s)? 6 Let w(p) = p. Let y be (3/2)/((-18)/(-1992)). Let k be y/18 - (-2)/(-9). Let v = 3 - k. Calculate w(v). -6 Suppose 2*p + 30 - 22 = 0. Let z(n) = -n**2 - 3*n + 4. Calculate z(p). 0 Let x(y) = y**2 - y - 3. Suppose 12 = -4*w + 5*f, 2*f + f + 6 = -2*w. Determine x(w). 9 Let z(b) = 2*b**3 + 3*b**2 + 3. Let t(y) = -y**3 - 1. Let d(a) = 3*t(a) + z(a). Calculate d(3). 0 Let o be (-1 + 4)/(-3)*6. Let n(s) = -s. What is n(o)? 6 Let b = -12 + 18. Let m(u) = -u**2 + 7*u - 5. Determine m(b). 1 Suppose -2*n + 5 = -1. Let o(l) = 4*l**3 + l**2 + 2*l**3 + l - 5*l**n + 4*l**3. Suppose 5*q + 20 = 0, 3*d - 4*q - 13 = -0*d. Calculate o(d). -5 Let w(l) be the third derivative of -l**4/6 - l**3/3 + 3*l**2. What is w(2)? -10 Let w(u) = -u**3 - u**2 - u + 3*u + 3*u**2 + 0*u + 2. Calculate w(3). -1 Let w(k) = k**3 + k**2. Suppose -6*j + 16 = -2*j. Let m = j - 3. Calculate w(m). 2 Suppose 3*m + 18 - 24 = 0. Let z(c) = 3*c**2 - 3*c. Give z(m). 6 Let b(i) = -5*i - 4. Let c(x) = x + 1. Let n(z) = b(z) + 4*c(z). Let q = 10 - 8. Let u be (-1)/(q*3/(-6)). What is n(u)? -1 Let u(c) = 20*c**2 - 2*c + 1. Let n(x) = -80*x**2 + 8*x - 5. Let t(v) = -2*n(v) - 9*u(v). Give t(-1). -21 Let h be -1 + 8/(-2)*1. Suppose 0 = 2*c - 2. Let m(n) = -n**3 + n - 1. Let s(f) = -2*f**3 + 5*f**2 + 3*f - 4. Let r(x) = c*s(x) - 3*m(x). What is r(h)? -1 Let z(h) = -6*h - 3 + 1 + 2*h + 6*h. Determine z(2). 2 Let l(j) be the first derivative of -j**3/3 + 3*j**2/2 + 2*j + 7. Calculate l(3). 2 Let i(n) = 19*n + 16. Let x be i(-1). Let y(h) = -5*h - h**2 + 4 + h + h. Calculate y(x). 4 Let k(x) = -1 - 2*x + 2 + 8 - 8. Calculate k(-1). 3 Let s(w) be the second derivative of w**3/6 + 2*w. Let t be (-34)/8 - 12/16. Determine s(t). -5 Let n(o) = 15*o**3 + o - 2*o**3 - o**2 + 2 - 14*o**3. Suppose 2*w - 4 - 6 = 0. Let a = 3 - w. Determine n(a). 4 Let v(w) = -8*w**2 - 17*w + 20. Let k(u) = 3*u**2 + 6*u - 7. Let p(f) = -11*k(f) - 4*v(f). Let j be ((-6)/(-2))/((-12)/(-8)). Give p(j). -3 Let d(q) = -3*q**2 + 2*q + 1. Suppose 2*t + 3*t = -5. What is d(t)? -4 Suppose -3*i + 2*i = -3. Suppose -i*n + 5*p + 12 = 0, -3*n + p = -2*p - 12. Let o(c) = 0*c**3 + 3*c**2 + 0 + 4*c - c**3 + 4. Determine o(n). 4 Let u(i) = -3*i**2 - 1 + 5*i**2 + 19*i - 12*i - 6*i. Determine u(-3). 14 Let r(s) = -8*s**2 + s. Suppose 5*j + 34 = 29. Give r(j). -9 Suppose 0 = -2*q + x + 38, -q = -0*q - 3*x - 29. Suppose y - 22 = 4*r + 2*y, 5*r + q = 4*y. Let t(d) = 2*d + 4. Determine t(r). -6 Let a(s) = -3*s**3 - 7*s**2 + 2*s - 2. Let x(b) = 10*b**3 + 22*b**2 - 7*b + 6. Let f(i) = -7*a(i) - 2*x(i). Determine f(-4). 18 Let s(u) = 2*u - 3. Suppose -2*y = -r - 7, 0*r - 5*r = -y - 10. Determine s(r). 3 Let v be (52/(-12) - -3)*3. Let m(q) = 2*q**3 + 11*q**2 - 17*q - 10. Let l(c) = 3*c**3 + 16*c**2 - 25*c - 15. Let a(o) = -5*l(o) + 7*m(o). Calculate a(v). -3 Let q(h) be the second derivative of -h**3 + h**2 + h. Let s be q(-3). Suppose m + 3*m = -2*i - s, 5*i = 0. Let f(x) = x**3 + 4*x**2 - 6*x - 1. Determine f(m). 4 Let w(t) = -t**3 + t**2 + t + 23. Let n be w(0). Suppose 4*m + 7 - n = 0. Suppose 3 - m = q. Let s(y) = -7*y. What is s(q)? 7 Let w(n) = n**2 - 4*n + 3. Let p(d) = -d + 1. Suppose 2 = -5*q - 13. Let h(g) = q*p(g) - w(g). Calculate h(5). 4 Let m(a) = -6 - 2*a**2 - 4*a + 5 - 2*a**3 + 2*a. What is m(-1)? 1 Suppose 3*q + 0*y - 4*y - 8 = 0, -2*q + 3*y = -7. Let o be -2 - (1 + q)/(-3). Let n(t) = -t - 4. What is n(o)? -1 Let h(j) = j**3 - 3*j**2 - 5*j. Let v be (-20)/(-6)*(-6)/(-5). Suppose 4*o + 5*l = -0*o - 15, 0 = -4*o - l - 3. Suppose a + o = v. Determine h(a). -4 Let t(l) = -7*l - 1. Let d(z) = -z**2 - 7*z - 3. Let y(o) = -o**2 - 8*o - 3. Let h(v) = 3*d(v) - 2*y(v). Suppose 0*w + 20 = -5*w. Let m be h(w). Calculate t(m). -8 Suppose 3*b = -4*f - 10, 8*b - 7*b - f = -1. Let w(z) = z**2 + z - 1. Calculate w(b). 1 Let t(h) = 2*h - 12. Let d be t(9). Let z(v) = -3*v**3 + d*v + 5*v**3 - v**3 - 6*v**2. Calculate z(5). 5 Let j = -13 - -15. Let l(a) = -1. Let d(u) = u - 7. Let r(v) = j*l(v) - d(v). Let q(w) = w**3 - 2*w**2 + w. Let s be q(1). Give r(s). 5 Suppose -b + 10 = 4*b. Let g(m) = 3*m**2 - 2*m**3 - m - 1 + m**3 + m**b. Give g(3). 5 Let s(q) = -3*q + 25. Let x be s(7). Let p(g) = -4 + 0 - g + 2*g. Determine p(x). 0 Let c = -19 - -17. Let t(f) be the third derivative of -f**5/60 + f**4/24 + f**3/6 - f**2. Give t(c). -5 Suppose 7 + 1 = 3*s + 4*y, 4*s = 3*y + 19. Suppose -3*t = 12, -t - s*t = -i + 22. Let u = -7 + i. Let q(l) = -l**2 - 5*l + 6. Determine q(u). 6 Let y(s) = s**2 - 8. Let l = -11 - -11. Calculate y(l). -8 Let r be (-14)/3 + (-2)/6. Let x(w) be the third derivative of -w**5/60 - w**4/6 + 5*w**3/6 + 5*w**2. What is x(r)? 0 Suppose -3*m = 3*l + 2*m + 24, -3*l = m + 12. Let r(k) = 9 + 2*k + 2*k**3 + 4*k**2 - k**3 + 6 - 13. What is r(l)? 5 Let i(l) = -6*l - 8. Let c(g) = 7*g + 9. Let a(j) = 5*c(j) + 6*i(j). What is a(3)? -6 Let r(k) = -2*k - 5. Let u be r(-4). Let y = 6 + -4. Let j(z) = -7*z + 3*z + y*z. Determine j(u). -6 Let h(y) = y**2 + 7*y - 2. Let p(x) = -x**2 + 3*x - 2. Suppose -3*t + 7 = -5. Let w be p(t). Calculate h(w). -8 Let p be (-4)/(1 + -1*3). Suppose -6*c + 12 = -p*c. Let x(h) = h. Determine x(c). 3 Let l(p) = p**2 - 1. Suppose -4*a = a - 6*a. What is l(a)? -1 Let o = 18 + -13. Let t(f) = f**2 - 5*f + 6. Determine t(o). 6 Let u(r) be the first derivative of -r**2/2 + 15*r + 8. What is u(0)? 15 Let o(y) = -y**2 - 5*y + 5. Let q be o(-5). Let h = -6 + q. Let f(x) = -6*x**2 - x. What is f(h)? -5 Let s(d) = 3*d - 2 - 5*d + d**2 + 0. Let x(g) = -g**2 - 9*g - 8. Let h be x(-8). Suppose -b + h = -2. Determine s(b). -2 Suppose 0 = 4*m + 12, 2*m - 17 = 5*g + m. Let o(j) = -j**2 + 1. Let h(w) = 3*w**2 - 4*w. Let c(q) = h(q) + 4*o(q). What is c(g)? 4 Let p(z) = -z**2 - 2*z. Let i(b) = b - 3*b + 5 + 0 + 3*b. Let q be i(7). Suppose l = 5*l + q. Give p(l). -3 Let i(y) = y + 1. Suppose 5*h - 1 - 9 = 0. Let n be (5/(-2))/(1/h). What is i(n)? -4 Let a(b) = 2*b - 5. Suppose -3*f = 51 - 9. Let x be (-3 - f/4)*8. Give a(x). 3 Let c(i) = -i**2 + 0 + 0 + 1 + 2*i + 2*i. Let z be c(3). Suppose 2*n + z = n. Let s(j) = -j**3 - 5*j**2 - 7*j - 5. Give s(n). 7 Let u(t) = 2*t**3 - 2*t**2 + t - 2. Let h be u(2). Suppose -h = 2*p - 0. Let v(i) = -6*i + 4 + 2*i + i**2 - 2*i**2. Give v(p). 4 Let k = 2 - 5. Let z(s) be the first derivative of -1/3*s**3 + 2*s + 2 + 1/2*s**2. Determine z(k). -10 Let d(q) = 3*q - 12. Let u be d(6). Let r(b) = -b**2 + 5*b - 3. What is r(u)? -9 Let j(v) = -4 - v**2 - 3*v + 0 + 5 + 0*v**2. What is j(-4)? -3 Suppose c = 3*p - 9, -5*c = -4*p + 2*p + 19. Let k(f) = 1 - p + 4 - f - 1. Calculate k(5). -3 Let v = 6/17 - 19/102. Let k(q) be the second derivative of -v*q**3 - 1/2*q**2 + 0 - q. Calculate k(-3). 2 Let r(y) = -6*y - 1. Let c(x) = -4 +
{ "pile_set_name": "DM Mathematics" }
) = -a(h) - 3*w(h). Find the third derivative of z(n) wrt n. -576*n + 18 Let w(k) = 83*k**2 - 5*k - 268. Let p(u) = -177*u**2 + 9*u + 536. Let g(h) = 4*p(h) + 7*w(h). What is the first derivative of g(z) wrt z? -254*z + 1 Let b = -24/77 - -481/308. Let x(c) be the first derivative of 5/3*c**3 + 0*c + b*c**4 + 1 + 0*c**2. Find the third derivative of x(n) wrt n. 30 Let a be (2/5)/(1/5). Differentiate -45*o**3 + 27*o**3 + 27*o**3 - 5 + o**a with respect to o. 27*o**2 + 2*o Let b(l) = -113*l + 29. Let h(i) = -337*i + 85. Let r(u) = 8*b(u) - 3*h(u). What is the derivative of r(g) wrt g? 107 Let t(u) = -230*u**2 - 23. Let a(x) = -923*x**2 - 90. Let h(m) = 2*a(m) - 9*t(m). What is the derivative of h(p) wrt p? 448*p Suppose -u - u - 6 = 0. Let p be -3*u/27*6. What is the second derivative of s + 2*s + s**4 + p*s wrt s? 12*s**2 Let y be -3*7/((-14)/20). Suppose y = 5*u - 5*w, -1 - 1 = u + w. Find the third derivative of 5*i**2 - 3*i**2 + 9*i**3 - i**2 + u*i**2 wrt i. 54 Let k(i) = 6*i - 10*i - 14*i - 18. Let s(u) = 9*u + 9. Let d be 8/4 - (2 - -2). Let r(l) = d*k(l) - 5*s(l). Differentiate r(h) with respect to h. -9 Let m be (-3)/6 + (-10)/(-4). Let f be 2/((-3)/m - -2). What is the third derivative of -4*z**3 + f*z**3 - 5*z**2 + z**3 wrt z? 6 Suppose -w = -3*w - 3*w. Differentiate -a + w*a - 23 + 23 + 9 wrt a. -1 Let i(a) = -580*a - 242. Let s(b) = -116*b - 48. Let j(d) = 3*i(d) - 14*s(d). What is the first derivative of j(f) wrt f? -116 Let j(x) be the second derivative of -87*x**5/20 + 11*x**3/3 + 18*x. Find the second derivative of j(m) wrt m. -522*m Let q = 94 - 94. Let d(p) be the second derivative of 2*p**2 + 0*p**3 - 6*p + 0*p**4 + q + 1/20*p**5. Differentiate d(c) wrt c. 3*c**2 Let v(w) be the third derivative of 62*w**4/3 - 223*w**3/2 + 843*w**2. Differentiate v(r) wrt r. 496 Let a(u) be the second derivative of u**6/36 - u**4/2 + u**3 + 7*u. Let v(o) be the second derivative of a(o). Find the first derivative of v(m) wrt m. 20*m Let i(d) = 52*d - 40. Let l(g) = g + 1. Let h(b) = 4*i(b) - 36*l(b). Differentiate h(o) wrt o. 172 Let m(f) = -2*f - 2. Let z(p) = -166*p + 244. Let n(o) = -3*m(o) - z(o). Find the first derivative of n(w) wrt w. 172 Suppose 0*s + 8 = s + 3*m, -5*m = 4*s - 18. Suppose -s*f + 2 = -2. Find the third derivative of t**2 + 3*t**2 + t**2 + 0*t**f - 3*t**6 wrt t. -360*t**3 Let i(b) be the first derivative of 133*b**3/3 - 319*b**2 - 235. Find the second derivative of i(o) wrt o. 266 Let l(f) = f**2 + 2*f - 1. Let d be l(-3). What is the third derivative of 7*v**3 + 4*v**6 - 7*v**3 - 11*v**d wrt v? 480*v**3 Let z(l) be the third derivative of 0*l**5 + 25*l**2 + 0*l**6 + 29/24*l**4 + 0 + 1/14*l**7 + 0*l + 0*l**3. Find the second derivative of z(w) wrt w. 180*w**2 Suppose -7*n + 83 = -344. Differentiate 28*m - 30 - n*m + 22*m - 2 with respect to m. -11 Suppose 32 - 2 = -3*p. Let c = -8 - p. What is the second derivative of -c*z - 2*z + 4*z - 2*z - 2*z**4 wrt z? -24*z**2 What is the second derivative of 0*n**3 - 119*n + 237 + 0*n**3 + 240*n - 219*n**4 - 122*n wrt n? -2628*n**2 What is the first derivative of -187 + 26*s - 177*s - 68*s - 2*s**4 - 262 + 11*s wrt s? -8*s**3 - 208 Let d(y) be the third derivative of -7/60*y**5 + 16*y**2 - 1/48*y**8 + 0*y**7 + 0*y + 0*y**4 + 0*y**3 + 0 + 0*y**6. What is the third derivative of d(u) wrt u? -420*u**2 Let t(s) be the first derivative of s**6/30 - 3*s**5/20 - 9*s**2/2 + 35. Let c(o) be the second derivative of t(o). Find the third derivative of c(v) wrt v. 24 Let x = 38 + 6. Suppose 1 = 5*l - x. What is the second derivative of -5*k + l*k + 0*k - 3*k**2 wrt k? -6 Let i(n) = 83*n**4 + 15*n**3 - n**2 + 5*n + 110. Let x(c) = -84*c**4 - 18*c**3 + c**2 - 6*c - 111. Let a(o) = -6*i(o) - 5*x(o). Differentiate a(y) wrt y. -312*y**3 + 2*y What is the third derivative of -30*i**2 - 13*i + 135*i + 17*i**3 + 29*i**2 + 2*i**6 - 12*i**3 wrt i? 240*i**3 + 30 Suppose -8 = -2*c - 2*t, 0*c + 16 = 2*c + 4*t. Suppose c = -3*j + 1 + 11. What is the second derivative of -4*q + 0 + 2*q + 4*q**j + 0 wrt q? 48*q**2 What is the second derivative of 15*y**5 + 5*y + 2*y**4 - 10 - 3*y + 1 - 3*y wrt y? 300*y**3 + 24*y**2 Let w(y) be the second derivative of 41*y**7/42 + 41*y**3/6 + 58*y. Find the second derivative of w(z) wrt z. 820*z**3 Let a = 404 - 391. Let o = 15 - 10. Find the third derivative of -9*j**5 + a*j**o - j**2 - 3*j**5 wrt j. 60*j**2 Let k(v) = -4*v**3 - 1. Let n(a) = -170*a + 7*a**3 + 170*a + 1. Let z be (2 - -6) + (-4)/(-2). Let o(g) = z*k(g) + 6*n(g). Differentiate o(c) with respect to c. 6*c**2 Find the third derivative of 497*m**3 + 8*m**2 + m**6 - 998*m**3 + 497*m**3 wrt m. 120*m**3 - 24 Suppose -4*d + 35 = -4*m - 5, -4*m - 30 = -2*d. Let x = 368 - 364. Find the third derivative of -5 - 5*j**2 + d + 6*j**2 + 7*j**x wrt j. 168*j Suppose 10*d - 3709 = -659. Find the third derivative of -d*h + 152*h - 24*h**4 + 154*h + 7*h**2 wrt h. -576*h Let b(z) be the first derivative of -2 + 27 - 14*z**6 - 5*z**2 + 12*z**6 + 3. What is the second derivative of b(a) wrt a? -240*a**3 Differentiate -2*z**4 + 14 - 31 - 75*z**4 - 30 wrt z. -308*z**3 Let n(d) = -27*d**2 - 7*d - 357. Let i(g) = g**2 + g - 2. Let v(u) = -6*i(u) - n(u). Differentiate v(w) with respect to w. 42*w + 1 Suppose -8*v + 5*v + 12 = 0. Find the third derivative of -a**3 - 12*a**3 - 4*a**2 - v*a**2 wrt a. -78 Suppose -4*w - 10 = 5*u - 1, 2*w - 18 = 2*u. What is the second derivative of -3*l - 7*l + 527*l**w - 535*l**4 wrt l? -96*l**2 Let b(l) be the second derivative of 5*l + 0*l**2 + 0 + 0*l**6 + 0*l**7 + 0*l**3 + 1/2*l**8 + 0*l**5 - 5/2*l**4. What is the third derivative of b(x) wrt x? 3360*x**3 Find the first derivative of -932*r + 924*r - 52 - 35 wrt r. -8 Find the third derivative of 96*l**5 - 27*l**2 - 3*l**2 + 16*l**2 - 61 + 12*l**2 + 2*l**4 wrt l. 5760*l**2 + 48*l Let f(u) be the first derivative of -u**4/4 - 13*u**2 + 8*u + 45. Find the first derivative of f(p) wrt p. -3*p**2 - 26 Let y(v) = v**4 + 2*v**3 + v**2 + v. Let m(h) = -4*h**4 + 18*h**3 + h**2 + h - 201. Let o(p) = -m(p) + y(p). Differentiate o(x) with respect to x. 20*x**3 - 48*x**2 Let m(r) be the first derivative of 3*r**5/2 - 13*r**3/3 + 19*r + 6. Let d(a) be the first derivative of m(a). Find the second derivative of d(n) wrt n. 180*n Let w be ((-84)/(-14))/(1/(-4)). Let x = w - -28. What is the second derivative of -12*f**4 + 6*f - x*f**2 + 4*f**2 - 8*f wrt f? -144*f**2 Let h(b) be the second derivative of -b**9/1512 + b**5/24 + 7*b**4/12 - 7*b. Let z(q) be the third derivative of h(q). Differentiate z(n) wrt n. -40*n**3 Let i(u) be the third derivative of 37*u**5/30 + u**4/24 + 2*u**3 + 21*u**2. What is the second derivative of i(q) wrt q? 148 Suppose -4*b + b + 14088 = 0. What is the second derivative of -7*l**4 + 4674*l - b*l - 20*l**4 wrt l? -324*l**2 Suppose 3*p - 5*z = 2570, -z = -5*p + 4145 + 131. Find the third derivative of -15*f**2 + 855 + 10*f**3 - p wrt f. 60 Let d(b) be the third derivative of 67*b**4/12 + 15*b**3/2 + 70*b**2 + 2*b. Find the first derivative of d(s) wrt s. 134 Suppose 1562 - 3974 = -9*y. What is the first derivative of 132*t**2 - y*t**2 - 4 + 139*t**2 wrt t? 6*t Let x(b) be the first derivative of 23*b**6/120 + 3*b**4/8 - 11*b**2 + 1. Let v(y) be the second derivative of x(y). Find the second derivative of v(w) wrt w. 138*w Let f(u) be the first derivative of 126*u**5/5 - 164*u - 110. Find the first derivative of f(q) wrt q. 504*q**3 Let w be (-1 - -2) + (-3 - -4). Find the third derivative of 5*q**5 + 0*q + 2*q - 2*q - q**w wrt q. 300*q**2 Let c(z) = -116*z**2 + 215*z + 4. Let n(t) = -116*t**2 + 214*t + 5. Let y(q) = 5*c(q) - 4*n(q). Find the second derivative of y(m) wrt m. -232 Find the third derivative of -419*n**2 + 1137*n**2 + n - 583*n**2 - 195*n**3 wrt n. -1170 Let c = 11 + -3. Let b(q) be the first derivative of -8 + 4 + c*q**2 - 6*q**2 + q**3. What is the second derivative of b(u) wrt u? 6 Let t(k) be the first derivative of -46*k**6/3 + 22*k**2 + 17. Find the second derivative of t(a) wrt a. -1840*a**3 What is the derivative of -176 - 126 + 20 - 170 + 13 - 667*c**2 wrt c? -1334*c What is the derivative of 2*d**4 + 25*d**4 - 4*d - d**4 - 44 + 8 + 160 wrt d? 104*d**3 - 4 Let s(p) be the third derivative of 0*p**6 - 1/10*p**5 +
{ "pile_set_name": "DM Mathematics" }
10 + g/r. 2, 3 Let c(f) = -2*f + 8. What are the prime factors of c(-5)? 2, 3 Let h = 13 - 3. Suppose -3*i + h = -56. List the prime factors of i. 2, 11 Suppose -2*d + 24 = r, r + 5*d = 2*r - 3. What are the prime factors of r? 2, 3 What are the prime factors of 0 + (1 - -110 - 1)? 2, 5, 11 Suppose 36 + 16 = 4*d. List the prime factors of (1 - d)/(16/(-24)). 2, 3 Suppose 54 = 4*a + 4*p - 54, p = -4*a + 108. List the prime factors of a. 3 Suppose -f = -3*f + 5*w + 24, 3*f = -3*w - 6. Let r = 1 + f. Suppose -4*o + r*o = -11. List the prime factors of o. 11 Suppose 42*q - 44*q = -24. What are the prime factors of q? 2, 3 Let k = 2 + 2. Suppose -24 = 3*l - k*c, 48 - 8 = -5*l - 4*c. Let n(p) = -p**2 - 11*p - 10. What are the prime factors of n(l)? 2, 7 Let v(o) = o. Let p(h) = h**2 - 9*h - 8. Let i(x) = -p(x) + 2*v(x). Let u be i(6). Let g = u - 23. What are the prime factors of g? 3, 5 Let l = 20 + 19. What are the prime factors of l? 3, 13 Suppose -4*n = -4*g, 3*n + 0*n + g - 16 = 0. Suppose 2*w + 2*z = n*w - 20, -4*w - 2*z + 28 = 0. List the prime factors of w. 2 Let a = -1 + 7. Suppose 2*k + 8 = a*k. List the prime factors of k. 2 Let i be (-72)/1*6/9. Let t = i + 74. Let h = -15 + t. List the prime factors of h. 11 Suppose -d + 2 = -2. Suppose 5*a - 65 = u, u + 29 = a + d*u. What are the prime factors of a? 2, 7 Let l(y) be the second derivative of y**5/20 + y**4/2 + 5*y**3/6 + y**2 - 2*y. Let p be l(-5). Suppose p*f - 7*f = -45. What are the prime factors of f? 3 Suppose 0*l - l + 5*i + 55 = 0, 2*l = -2*i + 170. List the prime factors of l. 2, 5 Let a be (-5)/2 - (-9)/6. What are the prime factors of (-1)/(1/5)*a? 5 Let q = -9 - -24. Let c = 0 - -2. Suppose -c*t + 4*x + q = -3*t, x + 15 = 2*t. List the prime factors of t. 5 Let j(p) = -4*p - 3 + 4*p - p**2 + 6*p. Let d be j(5). Suppose -3*y = -0*y + d*h - 11, -2*y + 5*h = -20. What are the prime factors of y? 5 Suppose -3*n + 4*x = 4, x - 2 = -n - x. Suppose -2*r - 3*m + 21 = 2*m, n = r + 3*m - 9. List the prime factors of r. 2, 3 Suppose 148 = f + f. Let v = -34 + f. List the prime factors of v. 2, 5 Let t(p) = -2*p**3 - 2*p**2 + 2*p + 3. Let s be t(-2). Let i = s - 4. What are the prime factors of i? 3 Suppose 0 = 3*x - 3*f - 81, 4*f - 9 = -4*x + 59. List the prime factors of x. 2, 11 Let w(i) = -i - i**3 - 2*i**2 + i**2 - 2 - 2*i. Let y be w(-2). Let m = y + 0. What are the prime factors of m? 2 Let m(k) = k**3 - 9*k**2 - 6*k - 2. Let r be m(10). Suppose 0 = -4*h - 2*p + r, 5 = 2*h + 4*p + 1. List the prime factors of h. 2, 3 Suppose 12*f - 332 = 8*f. List the prime factors of f. 83 Let z(f) = -f**3 + 14*f**2 - 14*f + 18. Let s be z(13). Suppose 21 = s*g - 74. What are the prime factors of g? 19 Suppose 236 = 13*y - 9*y. List the prime factors of y. 59 Let y(b) = 4*b**2 - 6*b - 6. Let s be y(-3). Suppose 5*n = 2*n + s. What are the prime factors of n? 2 Let u(c) = c**2 - 7*c - 6. List the prime factors of u(-6). 2, 3 Let z be 16/((-9)/(-6) + -1). What are the prime factors of z/14 - (-16)/(-56)? 2 Let j(o) = o**2 + 4*o + 2. What are the prime factors of j(-4)? 2 Suppose 0 = -2*k - 2*o - 5 - 1, -17 = 4*k + 5*o. Suppose -5*y - s + 29 = -k*s, y + 11 = -4*s. What are the prime factors of y? 5 Suppose -2*t + x - 8 = 0, t + 0*x + 2 = x. Let p be (1 + 3)/(2/t). Let i = -8 - p. List the prime factors of i. 2 Let v(a) = 8*a - 2. What are the prime factors of v(2)? 2, 7 Let x be 1 + -2 + (-9)/(-3). Suppose h - 3*h = -x. What are the prime factors of (-4)/((h/(-1))/2)? 2 Suppose 0 = 3*v + 2*o - 79, v + 5*o - 14 = 34. What are the prime factors of v? 23 Suppose 6*p = 3*p - 3*n + 393, -4*p + 4*n + 564 = 0. List the prime factors of p. 2, 17 Let g(y) = -y**3 - 7*y**2 - 9*y - 5. Let s be g(-5). Let k = s - -17. List the prime factors of k. 7 Let x(h) = 7*h + 147. List the prime factors of x(0). 3, 7 Suppose 2*t = -0*t + 18. List the prime factors of t. 3 What are the prime factors of 44/(-198) - 1298/(-9)? 2, 3 Let m = -8 + 11. Suppose m*z - z - 4*c = 8, 2*z - 5*c - 9 = 0. List the prime factors of z. 2 Let a = -4 - -14. Let l(j) = -3*j**3 - 15*j**2 + 11*j - 19. Let b(r) = r**3 + r**2 + 1. Let k(d) = -4*b(d) - l(d). List the prime factors of k(a). 5 Suppose -3*o = -9 - 9. Suppose 5*d - 84 = 3*m + 62, 0 = 4*d + 3*m - 106. Suppose -3*j = -3*n - o, 2*j + 3*j - d = -4*n. List the prime factors of n. 2 Let m = 5 - 3. Suppose 240 + 164 = 5*h + 4*g, h - 76 = -m*g. Suppose -7*u + 3*u = -h. List the prime factors of u. 3, 7 Suppose -m + 19 = -23. What are the prime factors of m? 2, 3, 7 Let h(c) be the third derivative of -c**4/12 + 5*c**3/3 + 9*c**2. List the prime factors of h(-11). 2 Let g be -3 + -2 + 4 - -49. List the prime factors of (-60)/(-2)*16/g. 2, 5 Let z = -16 - -10. Let b(v) = v**3 + 7*v**2 + 7*v - 7. Let r be b(z). Let x = r - -25. List the prime factors of x. 2, 3 Let g(i) = -2*i + 4. Let w be g(3). Let q(v) = 2*v**2 - 7*v + 4. Let x be q(4). Let u = x + w. What are the prime factors of u? 2, 3 Suppose 0 = -2*v + 5*p + 97, -v - 2*v + 2*p = -118. List the prime factors of v/5 - (-2)/(-10). 7 Let h(d) = -d**3 + d**2 + 3*d + 5. List the prime factors of h(-2). 11 Suppose -5*i + 60 = -4*n - n, 2*n = -5*i + 81. Suppose 3 - i = -c. List the prime factors of c. 2, 3 What are the prime factors of 3110/25 - 2*(-2)/(-10)? 2, 31 Let j(g) = -5*g**3 - g**2 + 1. Let r be j(-1). List the prime factors of 86/r - (-8)/(-40). 17 Suppose 2*h + 66 = i, -153 + 18 = -2*i + 5*h. List the prime factors of i. 2, 3, 5 Let c = -1 - -4. Suppose -98 - 11 = -4*p - 5*w, -79 = -c*p - w. What are the prime factors of -1 + 1/2*p? 2, 3 Let q = -11 - -3. List the prime factors of (-29 + -1)*4/q. 3, 5 Let i = 3 + -3. Suppose 4*y + 13 + 15 = i. Let w(p) = -p - 5. What are the prime factors of w(y)? 2 Suppose -4 = -3*n - n. Let g be 30 - (n + (-3)/3). Let k = -18 + g. What are the prime factors of k? 2, 3 Let v(q) be the second derivative of 0 - 1/3*q**3 - 3/2*q**2 + q. List the prime factors of v(-5). 7 Suppose -3*w - 5*c = -15, w + w - 10 = 2*c. Suppose 5 = w*b - 10. Suppose -p + 43 = 4*l, p - b*p = 3*l - 36. What are the prime factors of l? 2, 5 Suppose 2*j + n = -57, -4*j + 3*n - n = 94. What are the prime factors of (j/1)/(-2) + 1? 2, 7 Suppose -3*f + 2 + 1 = 0. Let a(n) = n - 1. Let u be a(f). Suppose u*o - 28 = -4*o. What are the prime factors of o? 7 Let d = -33 - -60. What are the prime factors of d? 3 Let k = 12 + -10. Suppose -5*v = -k*x + 5, -4 = -4*v - 0. What are the prime factors of x? 5 Let n be (-2 - -5)/(3/111). Suppose -4*j = -j - n. What are the prime factors of (-1)/3 - j/(-3)? 2, 3 Let z = 13 - 6. What are the prime factors of (-828)/(-42) - (-2)/z? 2, 5 Let x = -4 - 2. Let i be 4/x*-3 + 1. Suppose -i*m = 1 - 7. What are the prime factors of m? 2 Let g(z) = 5*z - 5. What are the prime factors of g(7)? 2, 3, 5 Let y = -8 - -13. Suppose 5*k + 30 = -3*a + y*a, 2*a = -2*k + 2. What are the prime factors of a? 5 Suppose -3*u - 2*u = 0. Suppose u = 2*n + 3*n. Suppose 3*v + n*v = 18. List the prime factors of v. 2, 3 Suppose -2*u = -m - 4*m + 64, -3*u = -4*m + 47. Suppose 2*j - 2*w = m, -2*j - j = -w - 27. What are the prime factors of j? 2, 5 What are the prime factors of (0 - -59) + 3 + -2? 2, 3, 5 Let b(n) = 5*n + 1. Let a be b(1). Let q be 3*(-3)/(-18)*22. Let c = q - a. List the prime factors of c. 5 Let c = 0 - 0. Let u(z) = -z**3 + 7*z**2 + 12*z - 2. Let l be u(8). Suppose -3*t + c*t + l = 0. What are the prime factors of t? 2, 5 Suppose -36 = 7*h - 5*h. What are the prime factors of (38/(-3))/(12/h)? 19 Let g = 0 - -18. What are the prime factors of g? 2, 3 Let h = 9 + -1. Let i = -5 + h. Suppose i = v - 3. List the prime factors of v. 2, 3 Let o be 11 + -11 + 0 + 2. Suppose -2*u + 7*u = -3*h + 296, -4 = -o*h. List the prime factors of u. 2, 29 Let z be 111/21 - (-4)/(-14). Suppose -2*d = -7*d - 75. Let r = z - d. List the prime factors of r. 2, 5 Suppose -24 = -p - 4*n + 19, -n + 120 = 5*p. Suppose d - p = 10. What are the prime factors of d? 3, 11 Let f be 40/18 - (-2)/(-9). Let v be 15/2 + 1/2. Suppose -f*u + v = -u. What are the prime factors of u? 2 Let m(w) = -3*w + 5. Let j(l) = -9*l + 14. Let u(x) = -4*j(x) + 11*m(x). List the prime factors of u(1). 2 Let a = 40 + 33. What are the prime factors of a?
{ "pile_set_name": "DM Mathematics" }
ind the common denominator of 103/8112 and 59/33. 89232 Calculate the smallest common multiple of 84 and 7581. 30324 What is the lowest common multiple of 27 and 493749? 493749 What is the common denominator of 23/114 and 75/1558? 4674 Calculate the common denominator of -47/270 and -37/98730. 296190 Calculate the common denominator of 37/30688 and 101/20. 153440 Calculate the lowest common multiple of 3170 and 2565. 1626210 What is the lowest common multiple of 90 and 19776? 296640 What is the common denominator of -53/2160 and -73/900? 10800 Calculate the common denominator of -131/1062 and 43/78. 13806 Calculate the common denominator of -59/294 and 83/6832. 143472 Find the common denominator of -73/308970 and -89/343300. 3089700 What is the common denominator of -11/21762 and -98/6045? 108810 What is the smallest common multiple of 54 and 5166? 15498 What is the least common multiple of 266 and 380? 2660 Find the common denominator of 91/1465530 and -79/44. 2931060 Calculate the least common multiple of 62760 and 815880. 815880 Find the common denominator of -16/23579 and 119/190. 235790 What is the least common multiple of 6262 and 1452? 4546212 Find the common denominator of 3/112301 and 63/4. 449204 Find the common denominator of -31/1740 and -161/132. 19140 What is the common denominator of -35/134058 and 61/285? 12735510 What is the least common multiple of 167094 and 18? 167094 What is the common denominator of -9/4 and -67/50097? 200388 Calculate the least common multiple of 710 and 204. 72420 Find the common denominator of -91/464 and 18/8311. 3856304 What is the lowest common multiple of 1096181 and 2529? 9865629 Find the common denominator of 34/87425 and -75/27976. 699400 Find the common denominator of -41/5 and 30/1081. 5405 Calculate the least common multiple of 399620 and 18020. 6793540 What is the least common multiple of 16652 and 2534? 116564 Find the common denominator of 25/67 and 17/9483. 635361 What is the common denominator of -19/23616 and -19/3608? 259776 Find the common denominator of -8/16023 and -73/35. 80115 Find the common denominator of -131/283242 and 19/36. 1699452 Find the common denominator of -3/4045 and -47/576. 2329920 Find the common denominator of 49/3060 and 179/3510. 119340 Calculate the smallest common multiple of 12810 and 1036. 947940 Calculate the smallest common multiple of 225 and 9588. 719100 What is the smallest common multiple of 14 and 217084? 217084 What is the least common multiple of 301266 and 334740? 3012660 Calculate the least common multiple of 3108 and 54. 27972 Calculate the least common multiple of 490 and 46207. 462070 Calculate the lowest common multiple of 429300 and 31800. 858600 Calculate the least common multiple of 892458 and 12. 1784916 Calculate the common denominator of 91/2400 and 53/42000. 84000 What is the lowest common multiple of 8424 and 1224? 143208 What is the common denominator of -73/30810 and -41/90? 92430 What is the common denominator of -93/81256 and -13/224? 325024 Calculate the common denominator of 57/3430 and -67/1050. 51450 Calculate the common denominator of -95/18216 and 45/36608. 7577856 Find the common denominator of 151/20934 and -95/27912. 83736 Calculate the common denominator of 67/1142 and -11/4. 2284 Calculate the common denominator of -67/80 and 47/3360. 3360 Calculate the smallest common multiple of 210192 and 2114. 1471344 Calculate the smallest common multiple of 1224 and 1122. 13464 Calculate the lowest common multiple of 2024 and 21928. 5547784 Calculate the common denominator of -149/2286 and -61/24003. 48006 Calculate the smallest common multiple of 8723 and 6344. 69784 What is the common denominator of -197/210 and -103/57372? 286860 Calculate the lowest common multiple of 1008 and 112. 1008 What is the common denominator of 67/3438 and 149/27504? 27504 What is the lowest common multiple of 4 and 2186954? 4373908 What is the common denominator of -24/265 and 71/6440? 341320 What is the common denominator of 25/12177 and -38/1107? 12177 Calculate the smallest common multiple of 73386 and 42. 513702 What is the common denominator of 39/1562 and -73/18460? 203060 What is the least common multiple of 25808 and 128? 206464 Find the common denominator of -79/68250 and -73/10500. 136500 What is the common denominator of 11/144708 and 149/12? 144708 Calculate the lowest common multiple of 1647 and 1464. 13176 What is the common denominator of -121/159600 and -167/17100? 478800 What is the common denominator of 35/92961 and -49/209? 1766259 What is the least common multiple of 98800 and 76? 98800 Calculate the lowest common multiple of 5 and 785975. 785975 Calculate the lowest common multiple of 134910 and 26982. 134910 Calculate the common denominator of 19/1190 and 32/21777. 217770 Calculate the smallest common multiple of 136 and 343502. 1374008 What is the common denominator of -62/3897 and 85/23382? 23382 What is the common denominator of 179/90 and -54/17855? 321390 Calculate the least common multiple of 39496 and 1550218. 6200872 Calculate the lowest common multiple of 544 and 44608. 44608 Find the common denominator of 58/3465 and 161/150. 34650 Calculate the least common multiple of 264 and 55. 1320 Calculate the lowest common multiple of 245 and 11466. 57330 Calculate the least common multiple of 40194 and 906192. 9968112 Calculate the common denominator of -26/19389 and 29/562. 38778 What is the smallest common multiple of 154880 and 264? 464640 What is the lowest common multiple of 44605 and 1622? 89210 Calculate the smallest common multiple of 574 and 20664. 20664 What is the lowest common multiple of 84 and 36? 252 What is the common denominator of 107/29106 and -117/50? 727650 What is the smallest common multiple of 714120 and 327305? 7855320 What is the least common multiple of 180 and 1392? 20880 Calculate the least common multiple of 8058 and 27. 72522 Calculate the lowest common multiple of 697 and 81549. 81549 Calculate the common denominator of 33/10280 and -49/880. 226160 Calculate the lowest common multiple of 32 and 633488. 1266976 Calculate the smallest common multiple of 80 and 95280. 95280 What is the smallest common multiple of 54010 and 12? 324060 Calculate the common denominator of -47/11 and 169/12630. 138930 What is the lowest common multiple of 6060 and 4? 6060 Calculate the lowest common multiple of 71021 and 2844. 2556756 What is the common denominator of 23/288 and 101/181768? 6543648 Calculate the lowest common multiple of 374760 and 140. 2623320 What is the least common multiple of 10728 and 3576? 10728 What is the smallest common multiple of 143920 and 546896? 2734480 Calculate the smallest common multiple of 560 and 83790. 670320 Calculate the common denominator of -97/250180 and -3/14. 250180 Find the common denominator of 31/1258 and -22/4847. 164798 Calculate the least common multiple of 20631 and 381. 2620137 Find the common denominator of 47/4308 and 113/64620. 64620 Calculate the common denominator of 20/40221 and 8/21. 281547 Calculate the smallest common multiple of 14 and 3578. 25046 What is the smallest common multiple of 10854 and 30150? 271350 Find the common denominator of 23/54960 and -63/2. 54960 Find the common denominator of -15/58 and 97/35022. 1015638 What is the common denominator of 49/135 and 23/4200? 37800 What is the least common multiple of 144 and 261? 4176 Calculate the least common multiple of 133023 and 399069. 399069 Find the common denominator of -133/270 and 1/194760. 584280 Calculate the lowest common multiple of 32272 and 322720. 322720 What is the common denominator of -23/167685 and 163/67074? 335370 Calculate the common denominator of -17/3 and -187/28980. 28980 Calculate the common denominator of -49/51561 and -53/154683. 154683 Find the common denominator of 109/6516 and -61/10860. 32580 What is the common denominator of -49/5480 and -47/5480? 5480 Calculate the smallest common multiple of 138330 and 12. 276660 Calculate the smallest common multiple of 212415 and 127449. 637245 What is the lowest common multiple of 12048 and 198792? 397584 Find the common denominator of -89/4 and -107/1300. 1300 What is the least common multiple of 10 and 29035? 58070 Calcula
{ "pile_set_name": "DM Mathematics" }
nearest to -1? (a) -5 (b) g (c) n c Let j = -65/203 - -1/29. Let m = -211/282 + -4/47. What is the nearest to j in m, 5, 3? m Suppose 4*b - 18 = -2*u, -2*b - 2*b + u = -9. Let s = -124/305 + 2/305. What is the nearest to 0 in s, 1/2, b? s Let m = 2.155 - 1.755. Which is the closest to 1? (a) m (b) -8 (c) -4/7 (d) -1.3 a Let y(r) = -39*r**2 - 2*r + 1. Let m be y(1). Let a be 6/(-1)*(-8)/m. What is the nearest to 0 in a, -1/3, -2/9? -2/9 Let g = -40.55 - -40. Let k = -0.35 - g. Let t = -79/3 - -559/21. Which is the nearest to -0.2? (a) -3 (b) t (c) k c Let h = 1 + -1.1. Let x = -3082.2 - -3082. Let k = 365/4 - 92. Which is the closest to h? (a) k (b) x (c) -4 b Let w(s) = -s**2 - 38*s - 219. Let o be w(-7). What is the closest to 0.02 in o, 2/7, -5, 0.22? 0.22 Let p = 0.92 - -0.08. Let v = -4.2 - -4. Which is the nearest to p? (a) v (b) 0.1 (c) -0.4 b Let f = -152 - -156. What is the closest to 0 in f, -0.04, -0.2? -0.04 Let p = 2 - 23. Let i = 27 + p. What is the nearest to -2 in i, -4, -2? -2 Let o = 8 + -7.7. Let b = -247/3 + 497/6. Let d = 40 + -43. What is the closest to b in -1, o, d? o Let f = -0.98 + -3.02. Which is the nearest to -0.1? (a) 0.4 (b) f (c) -0.2 c Suppose -19*m + 3*f + 13 = -24*m, -5*m - 5*f = 15. Let d = 0.1 + -0.1. Which is the closest to d? (a) -4 (b) m (c) 3/7 c Let k be (3/(-30))/((-3)/(-12)). Which is the nearest to k? (a) 0.1 (b) 2 (c) 11 a Suppose 0 = -3*h - 2*o + 30 + 7, 3*h - 12 = 3*o. Let j be (-16)/h + -1 + 3. Which is the nearest to -2/9? (a) j (b) 1 (c) 3 a Let q be (-3731)/1911 - 4/(-14). Which is the closest to -9? (a) 1/2 (b) 2/9 (c) q (d) -3/7 c Let l be (-26)/(-8)*(1 + 27)/7. Let m(o) = -o**3 + 15*o**2 - 25*o - 18. Let z be m(l). Which is the nearest to 2? (a) z (b) 1/5 (c) 3 c Let v = -0.06 - 0.44. Let d = 0.91 + 35.09. Let n = -35.7 + d. What is the nearest to -1 in v, 1/10, n? v Let l be 40/22 - (-6)/33. Suppose a + 4 + l = 0. Let y = a + 6. What is the closest to 0.1 in y, 4, 1? y Let d(x) = -x**2 + 8*x - 3. Let z be d(8). Let c be (0/(1 + 0))/(-1). Suppose -4*s - 3*t = 11, c*s - 2*t - 9 = 3*s. What is the closest to z in -2/5, s, 4? s Let d = -0.166 - 0.134. Let p = 0.26 + 12.74. Let v = p - 13. What is the closest to v in 4, -0.4, d? d Let g = -14/89 + -33/356. Let s = -38 - -36.3. What is the nearest to s in 2/13, g, 5? g Let k be 62/(-12) + 310/62. What is the nearest to 1 in 0.2, 3, -3, k? 0.2 Suppose 3*g + 5 = 8*g. Let s = 1 - g. Which is the nearest to s? (a) 2/13 (b) 4 (c) -4/9 a Let p be 3/3 - (-60)/(-36). What is the nearest to 1 in p, 0, -0.5? 0 Let s = 21 + -21.5. Suppose 11*f - 16*f + 14 = -2*o, 3*o = -3*f. What is the nearest to o in 0.1, 0.5, s? s Let p = -37 - 39. Let o = 73 + p. What is the nearest to 2/17 in o, 1/5, 1? 1/5 Let s = 1.31 + -39.41. Let v = 38 + s. Which is the nearest to 1/2? (a) 2 (b) v (c) -4 b Let v(f) = -2*f - 57. Let x be v(-29). Which is the nearest to 1? (a) x (b) 0.04 (c) 3/5 a Let b = 2.092 + 0.908. What is the closest to -2 in 1/4, b, -16, 1? 1/4 Let f = 80.3 + -79.9. Which is the nearest to -0.1? (a) f (b) -5 (c) -2 a Let s = -495437/45 - -11008. Let c = -8/5 - s. Let r = -196.96 - -197. What is the closest to 0.1 in r, c, -0.2? c Let h = -2 - -1.8. Suppose 9*x - 325 + 352 = 0. Which is the closest to 3? (a) x (b) h (c) 4 c Let g(v) = -3*v + 7. Let m be g(3). What is the nearest to m in -2, -32, 0.2? -2 Let p = -49 + 22. Let y = -27 - p. What is the nearest to 1 in 3/2, -2, y? 3/2 Let o = 1/30 - -1/60. Which is the closest to o? (a) -0.2 (b) -0.4 (c) -2 a Let x = 4.3 + 0.7. What is the nearest to -1/6 in 3, x, -3? -3 Let s = -10 + 6. Let q = s - -5. What is the nearest to 1 in -2/3, q, 2? q Let b = 3 + 0. Let g = 5973 - 5975. What is the closest to 0 in b, 4, g? g Let l = 0.5 - -4. Let n = l + -5. Let x = 1.5 + n. Which is the nearest to 1? (a) -1 (b) -2/3 (c) x c Let g = -0.036 - -0.236. Which is the nearest to g? (a) 1/4 (b) 4 (c) 1 a Let j = 0.129 + -4.129. Let v = 0.41 + -0.01. Let q = v + -0.3. What is the nearest to -1/2 in q, -5, j? q Let g = 4.029 - 1.029. Which is the nearest to 1? (a) g (b) -0.01 (c) -6 b Let a be 6/(-10) - (-1 + 3 - 3). What is the closest to a in 0.3, 0.02, 0.1? 0.3 Let j = -391.9 + 391. Which is the nearest to 0? (a) -0.5 (b) 3 (c) 0.07 (d) j c Let x be -8 + 10 + (-2)/(-2). Suppose x*w = 9 - 6. Let f = 1/194 - -289/388. Which is the closest to 1/2? (a) f (b) -5 (c) w a Let s = 229 - 1605/7. What is the nearest to -2/5 in 1/11, s, 0? s Let w(s) = s**2 + 21*s + 8. Let p be w(-13). Let v = p - -1535/16. Let z = -2.3 + 2.5. Which is the closest to z? (a) v (b) -2 (c) -1 a Let y be (10/45)/(8/(-18)). What is the closest to -0.8 in -5, -1/3, y? y Let m be (-7 - -8) + -2 + (-10)/(-12). Suppose -7 = 5*s + 23. Let j be 10/(-15) - 4/s. What is the nearest to 0 in -0.5, j, m? j Let l be (-12)/10*(-20)/(-6). Let z be (2/(-6))/(0 - 1). Let m be (-2)/14 + -1 + (-8)/(-7). What is the nearest to z in m, l, 0.5? 0.5 Suppose i + 5*m = 22, -4*i + m - 4 = -2*m. Let y be 6/21*(-7)/3. Let p = -24 + 23. Which is the closest to y? (a) -0.2 (b) i (c) p c Let z = 1.913 - -0.087. Let v(j) = 6*j**3 + j**2 - j + 1. Let k be v(1). Suppose -3*a + 0*a + 14 = -4*y, k = -y - a. What is the nearest to -0.1 in 0.2, z, y? 0.2 Suppose -56 = 2*b - 4*j, 0 = 3*b + 3*j + 2 + 46. Let r be 4*(45/b - -2). What is the nearest to 1/3 in 2, r, -2? r Let d(l) = l**2 - 5*l + 2. Let h be d(5). Suppose -15 = h*j + y, 3*j = 2*y + y. Let t = -45 - -93/2. Which is the nearest to 0? (a) -4 (b) t (c) j b Let z(t) = 368*t + 1476. Let r be z(-4). Let h = 1 - 0.9. Which is the nearest to 0.1? (a) r (b) 10 (c) h c Let g = -0.53 + 0.03. Let o = -0.1204 + -0.8796. Which is the closest to -0.1? (a) -3 (b) g (c) o b Let s = 4 + -4.1. Let o = 0 - -0.5. Let n = 0.8 - o. Which is the closest to s? (a) 0.4 (b) 2 (c) n c Let y = -0.11 - 0.39. Let o = -0.4 + -4.6. What is the nearest to -1/4 in o, -0.6, y? y Let n = -4 + 30/7. Which is the closest to 0.32? (a) -0.5 (b) n (c) 1/7 b Let b be 29/(58/(-12)) + 1*-1. What is the closest to -4 in -0.3, b, 2? b Let n be 35/40 - 15/12. Which is the nearest to 1/2? (a) -1/5 (b) n (c) 2 (d) -52 a Let l = 1/49 - -43/294. What is the closest to -0.1 in 24, 4, -2/9, l? -2/9 Let h = 0.3 + -0.2. Let k = -3.33 - -3.03. Which is the closest to -4/3? (a) h (b) k (c) -2/7 b Let p = 0.366 + -0.666. What is the closest to -2 in 4, p, -0.2? p Let y = -24.1 - -24. Let t = -5.3 + 4.3. Which is the closest to y? (a) t (b) 4 (c) 0 c Let z be 116/64*4 + -8. Let a = 68/3 + -23. What is the nearest to 5 in a, z, -2/11? -2/11 Suppose z - 3*o + 6 = -2*z, -1 = 2*z - 3*o. Let s = -1033 + 4135/4. Which is the nearest to s? (a) 5 (b) -2/5 (c) z b Let n = 0.125 + 0.875. Let z = -2.94 + -0.06. What is the nearest to 0 in -4, z, n? n Let y = 30.7 + -30.78. What is the closest to y in 0, -0.4, 2? 0 Let g be (8 + -27)*6/(-10). Let y = g - 11. Let i = -3 - -2.7. Which is the nearest to 1/3? (a) 1 (b) i (c) y c Let d = 11.4 - 13.6. Which is the nearest to -2/3? (a) -1/3 (b) -5 (c) d a Let m = -112/5 - -113/5. What is the nearest to 3 in -2/11, m, -2, 2? 2 Let p be ((-20)/(-12) + 6/(-9))/(-3). Let v = -0.1 + 1. Let w = v - 1. Which is the closest to w? (a) 0 (b) p (c) -3/4 a Let m be ((34 + -36)*(-1)/2)/4. What is the closest to -1 in -1/4, m, -4? -1/4 Let g = -17 + 16.7. Let n = -94 + 92. Which is the nearest to g? (a) -1 (b) -4/7 (c) n b Let l = -6308 - -6309. Let o = 1.5 + 0.5. What is the nearest to l in 2/13, o, -0.3? 2/13 Suppose 2*i + 52 = 3*f + 24, 0 = 4*f - 3*i - 37. What is the nearest to 3/4 in -0.3, 1, f? 1 Let r = 4 - 6. Suppose -5*x = -15, -6*x = -3*q - 2*x + 36. Suppose 3*j - q = -5*d - 2, 0 = 2*d + 5*j + 2. Which is the nearest to r? (a) 1/2 (b) 5 (c) d a Let i = -0.0353 + 0.0453. Let x = -2 - -1.9. Let t be 3/4*(-4 + 8). What is the nearest to 1 in x, i, t? i Let d = 46 + -34.8. Let w = d + -11. Let l be 0 - (12/5 + -2). Which is the closest to 0.1? (a) -1/2 (b) l (c) w c Let n be (-3)/(-6*(-1)/12*-3). Which is the closest to -0.1? (a) -1/4 (b) -2 (c) n a Let g = -0.4 - -1.4. Let i = 7 - 5. Let r = 3 - i. Which is the nearest to g? (a) 2 (b) -5 (
{ "pile_set_name": "DM Mathematics" }
0*z for z. 28 Solve 26*h - 609*h - 6417 - 579 = 0 for h. -12 Solve 6 - 3 = 61*y + 3 for y. 0 Solve -13 = 2*g - 35 for g. 11 Solve 1836*t + 1838*t = 3683*t - 81 for t. 9 Solve 178*k - 198*k = -180 for k. 9 Solve -112 = -23*b - 91 + 209 for b. 10 Solve -33*s + 9660 = -516*s for s. -20 Solve -318*k + 298*k = -120 for k. 6 Solve -80*a - 53*a + 1162 = 231 for a. 7 Solve -2075*o + 2446*o = 4452 for o. 12 Solve d = 41 - 59 for d. -18 Solve 400 + 69 + 575 = -87*g for g. -12 Solve 14*f + 170 = 86 for f. -6 Solve -159*d - 21*d + 2340 = 0 for d. 13 Solve 13*d - 51*d = -135 - 359 for d. 13 Solve 7*o - 25*o + 417 - 615 = 0 for o. -11 Solve 18*s - 4510 = -4816 for s. -17 Solve 14*t - 2374153 + 2374027 = 0 for t. 9 Solve -311 + 437 = 21*r for r. 6 Solve 355*t = 603*t + 805*t + 36855 for t. -35 Solve 19*o = 37*o + 17*o - 770 for o. 22 Solve 10956 = 152*f + 49*f + 4122 for f. 34 Solve 0 = -975*b + 7450 - 32800 for b. -26 Solve -60 = 53*a - 43*a for a. -6 Solve -88 = 35*a + 72 + 85 for a. -7 Solve 0 = -135*a + 1882 + 953 for a. 21 Solve 24*s + 3791 = 3383 for s. -17 Solve 0 = 58*s - 940*s - 10584 for s. -12 Solve -13*u = -21*u - 21*u - 464 for u. -16 Solve 6*h + 399 - 423 = 0 for h. 4 Solve 1488 = 97*t - 347*t - 2762 for t. -17 Solve 0 = -52*s - 1010 + 750 for s. -5 Solve 0 = 82*t + 3463 - 2397 for t. -13 Solve 2*z + 72 = 13*z + 7*z for z. 4 Solve -172*i + 1903 + 1014 + 1211 = 0 for i. 24 Solve -540*h + 868*h + 1968 = 0 for h. -6 Solve 0 = 71*f - 1897 + 51 for f. 26 Solve 2253*m + 162 = 2334*m for m. 2 Solve -20*n = -4*n + 14*n + 30 for n. -1 Solve -3420 = 242*t - 71*t for t. -20 Solve -110*t - 521 - 469 = 0 for t. -9 Solve 10*a = -104*a - 684 for a. -6 Solve 1340 = 1400*r - 1467*r for r. -20 Solve -m = 20*m - 225 + 36 for m. 9 Solve -428*k + 9596 = 180 for k. 22 Solve -303*m + 276*m - 1 + 163 = 0 for m. 6 Solve -7*x - 7*x + 192 = 178 for x. 1 Solve -72*o + 159 = -19*o for o. 3 Solve 0 = -6*n - 5 - 6 - 7 for n. -3 Solve 0 = 73*n - 694 - 474 for n. 16 Solve 0 = 2894*v - 2869*v - 25 for v. 1 Solve 95*h + 1105 = -2*h + 135 for h. -10 Solve 2*i - 8436 = 6*i - 8524 for i. 22 Solve 101*s = -466*s + 5103 for s. 9 Solve -7031*t - 2000 = -7160*t + 1096 for t. 24 Solve -11*n - 2629 = -114*n - 775 for n. 18 Solve -78*g = -248 - 103 - 351 for g. 9 Solve -141*z + 198 + 525 = -264 for z. 7 Solve 82*b - 464 = 24*b for b. 8 Solve -83*u = 123 - 870 for u. 9 Solve -152*l - 6920 - 1520 = 1958*l for l. -4 Solve 0 = -1262*u - 24825 - 9249 for u. -27 Solve 216*f = -1715 - 1309 for f. -14 Solve -799*a = 847 + 15088 + 844 for a. -21 Solve -9*s = 17 - 63 - 8 for s. 6 Solve -176*q + 2027 = -437 for q. 14 Solve -517*w - 5580 = -1633*w for w. 5 Solve -327*g - 46*g + 7360 = -5*g for g. 20 Solve 0 = -52*t + 1081 - 2069 for t. -19 Solve 474*w + 981 = 358*w + 3417 for w. 21 Solve -85939 = 13*c - 86069 for c. 10 Solve 0 = 78*d - 51*d - 27 for d. 1 Solve -90 = 253*d - 115*d - 1332 for d. 9 Solve 84153*o = 84200*o + 282 for o. -6 Solve -382 - 308 = 91*b + 47*b for b. -5 Solve s + 0 = -4 - 4 for s. -8 Solve -90*h + 1659 = -209*h - 1078 for h. -23 Solve -p - 6 = 6 - 1 for p. -11 Solve 0 = -5*v - 868 + 763 for v. -21 Solve -13*f + 2 = -128 for f. 10 Solve 1487*q - 1540*q + 2209 = 89 for q. 40 Solve 329 + 1218 = 119*m for m. 13 Solve 80 = 7*y + 17 for y. 9 Solve -3099 + 885 = 66*p + 16*p for p. -27 Solve 4 + 10 = 7*n + 70 for n. -8 Solve 17 + 8 = 25*v for v. 1 Solve 0 = -145*b - 64*b + 1945 + 145 for b. 10 Solve -578 = 4*r + 12*r + 18*r for r. -17 Solve -6*c + 0*c = 201 - 237 for c. 6 Solve -521*f - 12619 = -2720 for f. -19 Solve 20*u - 8*u + 2*u = -98 for u. -7 Solve 19*u - 30*u = -33*u + 44 for u. 2 Solve 4058 + 7051 = -483*j for j. -23 Solve -804*u - 756 = -720*u for u. -9 Solve 1479*v + 1489*v = 2979*v - 66 for v. 6 Solve 0 = 198*d - 54*d + 226 + 494 for d. -5 Solve 3864*g - 3836*g - 364 = 0 for g. 13 Solve -503*a - 2873 - 4672 = 0 for a. -15 Solve -425*a + 5678 = -759*a for a. -17 Solve -60 = 83*q + 1101 + 84 for q. -15 Solve 0 = -75*k - 38 + 352 - 14 for k. 4 Solve -5*l + 7 + 5 = -l for l. 3 Solve -3*p - 26 = 2*p + 74 for p. -20 Solve -85*g = -18*g - 737 for g. 11 Solve 51*n = 115 + 548 for n. 13 Solve -69178*y + 216 = -69154*y for y. 9 Solve -2130*l + 2283 = -4107 for l. 3 Solve 638 = 194*a + 656 + 2892 for a. -15 Solve -535*x + 116*x + 8323 = -476 for x. 21 Solve -48*q - 215*q = 3682 for q. -14 Solve 122 = 17*i + 122 for i. 0 Solve 339*r + 809 + 929 + 2669 = 0 for r. -13 Solve 497 + 246 = -176*l - 137 for l. -5 Solve 82*x = -39*x - 3706 + 1044 for x. -22 Solve -43 - 51 = 15*z - 19 for z. -5 Solve -73*j = 74*j + 94*j + 6748 for j. -28 Solve 57*c = 16*c + 299*c - 774 for c. 3 Solve 3*q + 14*q + 86 + 84 = 0 for q. -10 Solve 0 = 99*i - 304 - 488 for i. 8 Solve -7085 = -24*q - 7133 for q. -2 Solve 582*g + 7865 - 1033 = 155*g for g. -16 Solve 1825 = -27*t + 3733 - 1692 for t. 8 Solve 98*q - 256 = 34*q for q. 4 Solve -202 + 379 = -177*c for c. -1 Solve 396416 = -50*v + 394666 for v. -35 Solve -29*d = -10040 + 10707 for d. -23 Solve 6*x + 342 = 39*x + 5*x for x. 9 Solve 30 = -6*j - 7*j - 9 for j. -3 Solve 46*d + 9792 = 9194 for d. -13 Solve 0 = 8532*o - 8557*o - 400 for o. -16 Solve 241*a + 2089 + 706 = -820 for a. -15 Solve 69*i + 409 - 813 = 493 for i. 13 Solve 544*f - 1103 - 11953 = 0 for f. 24 Solve 15 = 84*c + 15 for c. 0 Solve -255 = 39*f - 88 - 89 for f. -2 Solve 70*y = -88*y - 1264 for y. -8 Solve -39*p = -5406 + 4743 for p. 17 Solve 628*l + 154 = 650*l for l. 7 Solve -172 + 288 = -21*q - 325 for q. -21 Solve -89*t = 925*t + 9947 - 1835 for t. -8 Solve -3264*p - 36 = -3272*p - 108 for p. -9 Solve 7 = 35*g - 83 - 15 for g. 3 Solve -340*y + 174*y - 176*y - 1368 = 0 for y. -4 Solve -163*l - 160*l = 194*l + 5170 for l. -10 Solve -29*r - 11*r = -13*r + 783 for r. -29 Solve 4*u - 20802 = -20846 for u. -11 Solve 24 = -211*a + 24 for a. 0 Solve -859*y + 1831 = -7671 - 4242 for y. 16 Solve -1247 = 179*m + 1796 for m. -17 Solve 15*p - p + 80 = 6*p for p. -10 Solve 5*u - 24*u + 14*u = -40 for u. 8 Solve 11*p + 30 = 151 for p. 11 Solve 0 = 378*u - 391*u - 260 for u. -20 Solve -16*w = -7*w + 30*w - 234 for w. 6 Solve -40 = 8*w + 39 - 39 for w. -5 Solve -997*i + 4525 = -318*i - 2265 for i. 10 Solve -49*w - 1916 = -1671 for w. -5 Solve 922*l - 633*l - 2766 = -1094*l for l. 2 Solve 1083 - 6069 = 554*r for r. -9 Solve -388*u + 33*u = -1065 for u. 3 Solve -23*q - 17905 = -18572 for q. 29 Solve -11*q = 10*q - 17*q + 56 for q. -14 Solve -1871 = 193*y - 906 for y. -5 Solve 125*w + 72 = 133*w for w. 9 Solve 232*i + 62*i - 31*i + 3419 = 0 for i. -13 Solve -45*u = -111*u - 96*u + 972 for u. 6 Solve -261 - 503 = 81*a - 116 for a. -8 Solve 21*v - 81 + 39 = 126 for v. 8 Solve 3588 = -610*b + 334*b for b. -13 Solve -39*b - 160 = -39*b - 10*b for b. 16 Solve -350 = -308*m + 333*m for m. -14 Solve 403*u = 2 - 17 + 821 for u. 2 Solve -31*a - 5513 = -5389 for a. -4 Solve -487*f + 519*f - 544 = 0 for f. 17 Solve 1131 = -96*n + 3819 for n. 28 Solve 816 = -148*p + 76 for p. -5 Solve 26*c - 140 = -270 for c. -5 Solve -1854*g - 10845 = 3020 + 4675 for g. -10 Solve -1408*a - 48 = -1404*a for a. -12 Solve -36*b = 184*b + 160*b + 3420 for b. -9 Solve 4173 = -13*r + 3874 for r. -23 Solve -354*n + 104 = -367*n for n. -8 Solve 0*u - 28*u - 14*u = 378 for u. -9 Solve 406*n - 159*n + 4693 = 0 for n. -19 Solve 11*t - 31*t = 15*t - 140 for t. 4 Solve 1360*k - 21243 = -544*k + 16837 for k. 20 Solve 4168 = -696*k + 724 - 2820 for k. -9 Solve -48 = -39*w - 243 for w. -5 Solve -6*o + 12895 - 12841 = 0 for o. 9 Solve -32*j + 164 = -220 for j. 12 Solve -1132*z - 4890 = -154*z for z. -5 Solve 0 = -0*s - 29*s + 20*s - 198 for s. -22 Solve -14*f + 3*f = 10*f + 42 for f. -2 Solve -177*x - 62 = 1708 for x. -10 Solve 2172*i - 1120*i - 1087*i = 840 for i. -24 Solve -1410*q + 1389*q = 315 for q. -15 Solve 221 = 20*i + 28*i - 163 for i. 8 Solve 0 = -1909*y + 1914*y - 15 for y. 3 Solve 51788 - 52733 = 45*l for l. -21 Solve -93*a - 73*a - 1656 = 502 for a. -13 Solve 55*c + 291*c - 346 = 0 for c. 1 Solve 33*r + 1036 = -41*r - 0*r for r. -14 Solve -471*j = -1235 - 3004 for j. 9 Solve 2*n + 853 - 857 = 0 for n. 2 Solve 5623*q - 5438*q = -5550 for q. -30 Solve -1816 + 666 = 361*y + 10041 for y. -31 Solve -1260 = 3209*j - 3083*j for j. -10 Solve 46*l + 9
{ "pile_set_name": "DM Mathematics" }
is the units digit of z? 2 Let y = 51 - 51. Suppose 5*u - 5 + 116 = 3*q, y = -3*q + u + 111. What is the tens digit of q? 3 Suppose 2*p - p - 3*n + 12 = 0, 2*n - 8 = -3*p. Let h(t) = -t - 6. Let k be h(p). Let y(a) = 2*a**2 + 10*a + 7. What is the tens digit of y(k)? 1 Let j(y) = 4*y**2 + 5*y - 10. What is the thousands digit of j(-17)? 1 Let m(d) = -54*d - 29. What is the tens digit of m(-12)? 1 Suppose -v - 24 = -5*v. Let k(s) = -s**2 + 6*s + 8. What is the units digit of k(v)? 8 Let v(x) = 160*x - 324. What is the hundreds digit of v(38)? 7 Let o(x) = -8 + 20*x + 13 + x. What is the tens digit of o(2)? 4 Let q = -1122 + 714. Let d = q + 678. What is the tens digit of d? 7 Let k(h) be the third derivative of h**6/60 - 2*h**5/15 - h**4/6 + h**3/6 - 30*h**2. What is the hundreds digit of k(6)? 1 Let q(k) = -20 + 6*k - 3*k + k. Let m be q(8). What is the tens digit of m + -4*(-2)/4? 1 Suppose -4*j - j + l + 151 = 0, j - 3*l = 33. Let k(i) = i**3 - 8*i**2 + 9*i - 10. Let v be k(7). Suppose -j = -v*b - 6. What is the units digit of b? 6 Let a(s) = 10*s**2 + s. Let v be a(-1). Let u(n) = n**2 - 5*n + 11. What is the tens digit of u(v)? 4 Let b = 8 - 5. Let m be 148/1 - (-5 + 7). Suppose -b*t - 8 = -m. What is the units digit of t? 6 Let m = 1382 + -782. What is the units digit of m? 0 Let j = -179 - -450. What is the units digit of j? 1 Let n = -127 - -1. Let b = -76 - n. What is the units digit of b? 0 Let p = -62 + 55. Let g(w) = -37*w - 58. What is the hundreds digit of g(p)? 2 Let z(n) = -11*n + 2 + 0 - 10*n + 17*n. Let x be z(-9). Suppose 3*b = x + 1. What is the units digit of b? 3 What is the tens digit of 1 + -7 + 98 + 2? 9 Let n(t) = 5*t**2 + 9*t - 7. Let r(d) = -6*d**2 - 9*d + 6. Let a(u) = 3*n(u) + 2*r(u). What is the units digit of a(6)? 3 Let d = -11 - -19. Suppose -6*s + 4*s = -d. Suppose s*g - 84 = -0*g + 3*m, 5*g + 4*m = 105. What is the tens digit of g? 2 Suppose 10*z - 750 = 5*z. Let r = z - 72. What is the tens digit of r? 7 Let o = 760 + -429. What is the tens digit of o? 3 Suppose -36*p + 4250 = -34*p. What is the hundreds digit of p? 1 Let s be (-1 - -35)/(4/8*1). Let i = 69 - s. What is the units digit of i? 1 Let s be (4*(-2)/12)/((-1)/9). Suppose 5*o = -4*a + 227, -2*a + s*a = 4*o + 200. What is the units digit of a? 3 Let i = -5 + 11. Let q = i + -3. Suppose -3*l + 3 = -q. What is the units digit of l? 2 Let z(f) = -f - 5. Let j be z(-6). Suppose 0*h - j = h, 2*h = -5*c - 2. Suppose c = 5*y + 2*g - 161, 2*y - 4*g = -0*y + 50. What is the tens digit of y? 3 Let g(c) = 120*c**2 + c. Let p be g(1). Let n = -191 + p. Let r = -30 - n. What is the units digit of r? 0 Let z(t) = 306*t - 5. What is the hundreds digit of z(1)? 3 Let c be 3 + 4 + 4 - -3*1. Suppose 4*x = -0*x + 40. Let v = c + x. What is the tens digit of v? 2 Let x(c) = 7*c**3 + 11*c - 8. Let d(w) = 4*w**3 + w**2 + 5*w - 4. Let o(b) = -5*d(b) + 3*x(b). Let r be (2/3)/((-2)/(-15)). What is the units digit of o(r)? 6 Let j(s) = 3*s**2 + 62*s + 233. What is the hundreds digit of j(-40)? 5 Let o = 84 + -81. What is the tens digit of (-33)/9 - -4 - (-221)/o? 7 Let d(k) = -187*k + 292. What is the units digit of d(-5)? 7 Let u be (-4)/(-10) - 126/(-35). Suppose -u*z + 2*z = -76. Let n = z - 18. What is the tens digit of n? 2 Suppose -4*c + 8360 = 5*z, 44*c - 42*c + 3362 = 2*z. What is the thousands digit of z? 1 Let h = -20 + 23. Suppose h*b - 2*m - 154 = b, 2*m = -3*b + 231. What is the tens digit of b? 7 Let g = -9 + 12. Let r(y) = -y**3 + 2*y**2 + 4*y + 2. Let p be r(g). Suppose -p*a + 263 = 6*o - 2*o, 3*o = 5*a + 171. What is the tens digit of o? 6 Let z = 10 - 6. Suppose -41*b + 40*b = -4. Suppose z*f + b - 20 = 0. What is the units digit of f? 4 Let b(g) = -19*g. Let y(t) = -3*t + 4*t + 2 - t**2 - 4 - 3*t. Let c be y(-2). What is the units digit of b(c)? 8 Let w be (2*2)/((-24)/(-12)). Let m be 11 + (-12)/8*w. What is the units digit of ((-12)/(-7))/(m/252)? 4 Suppose p + 5*u = 63, 0*p - 4*u = -2*p + 56. What is the units digit of (p/(-7))/(-4 + 135/35)? 8 Suppose -3*i + 5 = 2. Suppose 5*f - 4 = k, i = -k + f + 5. What is the units digit of 3/k - 81/(-6)? 4 Let x(n) = 12*n**2 - 2*n - 3. Let l be x(-2). Let g = -232 + 291. Suppose -l = -4*k + g. What is the units digit of k? 7 Suppose 4*r = -3*l + 3589, 3585 = 3*l + 7*r - 4*r. What is the thousands digit of l? 1 Let n(m) = m**3 - 6*m**2 + 6*m - 3. Let s be n(5). Let v(k) = 26*k + 5. Let j be v(0). What is the units digit of -3 + j - (-10)/s? 7 Let w be (-3)/2 + (-18)/(-12). Suppose v = 4*c + 94, -3*v - 4*c + 153 + 97 = w. What is the units digit of v? 6 Let b be 50/(-425) + ((-87)/(-17) - 1). Suppose -21 = -3*q + 6. Let y = q + b. What is the units digit of y? 3 Let p = 141 - 45. Let h = 65 + p. What is the hundreds digit of h? 1 Let k = -111 - -114. Let w(p) = 69*p + 27. What is the units digit of w(k)? 4 Let p(z) = -z**2 - 6*z - 5. Let c be p(-1). Suppose c = -m, -m = -4*r + 2*r + 542. What is the units digit of r? 1 Let d be (44/12 + -4)/((-2)/96). Suppose 4*y - 2 = -2*q + 4*q, -q = -5*y + d. What is the units digit of q? 9 Let z be 3*-1 + (1 - -4). Suppose u = -z*k + 24 - 9, 5*u + 65 = 4*k. Let i = 36 - k. What is the tens digit of i? 2 Let q(l) = l**3 - 14*l**2 - 16*l + 26. What is the units digit of q(15)? 1 Suppose -5*t + 2*o - 199 = 0, 8 = 2*o + 2*o. Let r = 68 + t. What is the tens digit of r? 2 What is the hundreds digit of 2732 - (-8)/(24/9)? 7 Let l(u) = -u - 7. Let x be l(-5). What is the tens digit of 3 + 35 + (-4)/x? 4 Let v be (-3 + 0)/((-48)/976). Suppose 259 = -5*c - v. What is the tens digit of 1 - 5/5 - c? 6 Suppose 34*o - 2*x - 2430 = 30*o, x + 3030 = 5*o. What is the hundreds digit of o? 6 Suppose -5*m - 4*k + 191 = 0, 3*m + 3*k - 70 = 47. Let v be 636/(-10)*m/(-14). Suppose 0 = -3*x + y + v, 4*x - 2*y = -0*x + 210. What is the tens digit of x? 5 Suppose 3*v - 3*j = 3594, -2*v + 5990 = 3*v - 2*j. What is the hundreds digit of v? 1 What is the tens digit of 37572/10 + 264/330? 5 Let g(a) = 10*a**2 - 20*a - 8. What is the units digit of g(5)? 2 Suppose 8 + 4 = 2*q - 4*g, -2*q - 4*g = 4. What is the units digit of ((-7)/q)/(13/(-26))? 7 Suppose -2*n = -n - 9. Let s = 13 - n. What is the units digit of s? 4 What is the tens digit of 6 + -2 + 5285/7 + -7? 5 Let p(z) = 32*z**2 - 8*z + 23. Let f be p(4). Suppose -f = -3*k + 166. What is the hundreds digit of k? 2 Suppose -b + 2685 = 5*i, -5*i - 135 + 2810 = -b. What is the hundreds digit of i? 5 Let w = 89 + 77. What is the tens digit of w? 6 Let y = -20 + 25. Suppose q = 10 - y. What is the units digit of q? 5 Let u(p) = 268*p + 4. What is the hundreds digit of u(1)? 2 Suppose 4*x + 9*s - 5*s = 192, 0 = 3*x - 2*s - 124. What is the tens digit of x? 4 Suppose 0 = -5*j - t - 163, 0 = j + t - 6*t + 43. Let r = j - -197. What is the hundreds digit of r? 1 Suppose -w = -5*x - 609, -2*x = 5*w + 135 + 114. Let h = 197 + x. Let b = h - 38. What is the tens digit of b? 3 Let v(o) = -5*o - 6. Let t be v(-2). Suppose 4*a - 88 = -0*a - 3*b, -5*b - 56 = -t*a. What is the tens digit of a? 1 Let o(n) = -10*n + 12. Let x(l) = -10*l + 11. Let y(g) = -6*o(g) + 5*x(g). What is the units digit of y(8)? 3 Suppose -16 = -4*j - 4*n, 2*j - n + 8 = 1. What is the tens digit of 0 + 64 + 4/j? 6 Let q = 7 + 84. What is the units digit of q? 1 Suppose 39*t = -15*t + 40122. What is the tens digit of t? 4 Suppose 225 = s - 2*q, s - 4*s + 675 = 4*q. What is the tens digit of s? 2 What is the hundreds digit of 766 + 4/28*0? 7 What is the tens digit of (-2)/13 + (8432/52 - 4)? 5 Let r(i) = 145*i - 7. What is the hundreds digit of r(9)? 2 Let h(q) = q - 1. Let p(v) = -v + 11. Let c be p(4). Let o be h(c). Let b = o + 9. What is the units digit of b? 5 Suppose 12*z + 64 = -20. Let u(c) = c**2 - c + 16. What is the units digit of u(z)? 2 Let u = 1234 + -466. What is the units digit of u? 8 Let n = 0 + 5. Suppose -8*b = -n*b - 48. What is the tens digit of b? 1 Suppose -11*x + 20*x - 31761 = 0. What is the tens digit of x? 2 What is the hundreds digit of 1502/(-5)*(-15)/6? 7 Suppose 3*v = 2*n + 2785, 560 - 1488 = -v + n. What is the hundreds digit of v? 9 Suppose -3*j - 129*r + 8256 = -126*r, -r = -3*j + 8268. What is the tens digit of j? 5 Suppose 5*t + 15 = 150. Let w = -24 + t. W
{ "pile_set_name": "DM Mathematics" }
-0.3 (b) 0 (c) 2/3 (d) -5 b Which is the nearest to 72? (a) 5 (b) -10 (c) -2 a What is the nearest to -3 in -0.81, 4, -4? -4 Which is the closest to 2/5? (a) 0 (b) -4 (c) -3/7 (d) -0.0682 a What is the closest to 0.1 in 0.0581, -4, 5? 0.0581 Which is the closest to 3? (a) 0.2 (b) 1/2 (c) -0.7 (d) -2 b Which is the closest to 1/4? (a) 5 (b) 0 (c) -6 (d) 7 b Which is the closest to -2? (a) 37 (b) -0.4 (c) 1 (d) -0.5 d What is the closest to 1/6 in -1/9, 1/5, -7, 2? 1/5 Which is the closest to 1/6? (a) 0.5 (b) 16 (c) -1/3 a Which is the closest to 2/13? (a) -7 (b) -1 (c) -3 (d) 1 d Which is the nearest to 0.2? (a) 5 (b) 2 (c) -1 (d) -6/13 d What is the closest to 2 in -4/5, -1, -7? -4/5 Which is the closest to 0? (a) 4/3 (b) 0.08 (c) 3 (d) 2/3 b Which is the nearest to -2/7? (a) -0.4 (b) -4/51 (c) 4/5 (d) -5/4 a What is the nearest to -1/3 in 0.1, 0.4, -1, -0.3? -0.3 Which is the nearest to 0.03? (a) -3 (b) -3/8 (c) 1/2 b What is the nearest to -1 in -2, -0.1, 4, -100? -0.1 What is the closest to 2 in 1/3, 0.3, -1.8? 1/3 Which is the closest to 0? (a) -86 (b) -5 (c) 2/5 c What is the nearest to 32 in 3, 5, -0.3, -3/4? 5 Which is the nearest to -4? (a) -1/6 (b) -4 (c) 68 (d) 3 b What is the nearest to -6.3 in 2/21, -1/4, 5? -1/4 What is the nearest to 11 in -0.3, -1.4, 0? 0 Which is the nearest to -2? (a) 8 (b) -2/3 (c) -11/3 (d) -3 d Which is the nearest to 0? (a) -2 (b) 0.08 (c) -15 b What is the closest to 2/131 in 1, -0.4, 5? -0.4 What is the closest to -67 in -2/5, -0.1, 1? -2/5 What is the nearest to 0.1 in -5, -3, 6/7, -2/11? -2/11 Which is the nearest to -6? (a) -4/5 (b) -3 (c) -5 (d) 0.3 c What is the nearest to 1 in -2/3, 1/5, 11, -4? 1/5 Which is the nearest to -1/5? (a) -3 (b) -0.4 (c) -5 b Which is the nearest to -11? (a) -0.06 (b) -0.1 (c) 6 b Which is the nearest to -2/3? (a) -5 (b) 1 (c) 0 (d) -3 c What is the closest to -2 in -22, -20/3, 3/5, 6/11? 6/11 Which is the nearest to -1? (a) -3 (b) 0.02 (c) -260/17 b What is the nearest to -1 in 0.02, 3/8, 0.4? 0.02 Which is the nearest to 1? (a) 8 (b) -3/8 (c) 3 b What is the closest to -1 in -5/4, 1/3, 17? -5/4 What is the closest to -0.1 in 0.01, -4, -2/5, -3? 0.01 What is the nearest to 1 in 3, 5/3, 46? 5/3 Which is the closest to -1? (a) 2/21 (b) -3/7 (c) -1/2 (d) 0.11 c Which is the nearest to -0.1? (a) 0 (b) -17.8 (c) 1 a What is the nearest to -0.08 in 0, -20, -4/15? 0 What is the nearest to -0.1 in -0.02, -3/2, -4? -0.02 What is the nearest to -1 in 3/17, -4, -1/3, 1? -1/3 Which is the nearest to 4? (a) -2 (b) -2/5 (c) -5 b What is the closest to 2/3 in -0.09, 5, -2/17? -0.09 What is the nearest to 3 in -0.3, -0.48, -2? -0.3 What is the nearest to -1 in -10, -3/7, -9, 1/5? -3/7 Which is the nearest to -3? (a) 3/7 (b) -5 (c) -2/7 (d) 0.1 b Which is the nearest to -5? (a) 1/3 (b) -1 (c) -1/3 b What is the nearest to -3.6 in 3, 0.2, 4? 0.2 What is the closest to -3/7 in -0.5, -0.2, -0.4, 4/5? -0.4 Which is the closest to 0? (a) 0.084 (b) 4 (c) 1/3 a Which is the nearest to 0? (a) -5 (b) -1/2 (c) 2 (d) 2/9 d Which is the closest to -2? (a) -2 (b) 2 (c) 4 a What is the closest to 0 in 0.3, 3, 0, -2/7? 0 What is the closest to -4 in -1/8, 1/4, -1/11? -1/8 What is the closest to -1/4 in -3, 1/5, 5, -8? 1/5 What is the nearest to -1/18 in -1/4, 1, 4? -1/4 What is the closest to 4 in -3, -0.1, 2? 2 Which is the closest to 4? (a) -5 (b) 2 (c) -1.6 (d) -3 b Which is the closest to 4? (a) 0.1 (b) -0.1 (c) 4/11 c What is the closest to 1/3 in -0.9, 1, -3, 0? 0 Which is the closest to -1? (a) 26 (b) 1/2 (c) 1/5 c Which is the closest to 0.5? (a) -21 (b) -0.1 (c) -1/3 b What is the closest to -2 in 0.5, -6, 2/25? 2/25 Which is the closest to -2/3? (a) 1 (b) -0.2 (c) -22 (d) 6 b What is the nearest to -11 in -0.3, 0.4, 3/2, -8? -8 Which is the closest to -1? (a) -4 (b) 0.1 (c) 24 (d) -5 b Which is the closest to 3? (a) -3/7 (b) 0.3 (c) 5 (d) 0.1 c Which is the nearest to -3/4? (a) -384 (b) 5 (c) 2/3 c Which is the closest to -1/2? (a) -2/13 (b) 3/7 (c) 0.4 (d) 298 a Which is the closest to 2/11? (a) -24.6 (b) -4 (c) 3 (d) 5 c What is the closest to 1/2 in -7, -4, -0.4, 2? -0.4 What is the closest to 1 in -0.1, 1, 0.05? 1 Which is the closest to 2/3? (a) 10 (b) -3 (c) 3/4 (d) -0.1 c Which is the closest to 41? (a) 5 (b) 2/9 (c) -3 (d) -2/7 a Which is the nearest to 0.4? (a) -1/2 (b) -2/7 (c) 4/7 (d) 8/5 c Which is the closest to -2/3? (a) -2/9 (b) 3/2 (c) -3 (d) 1/23 a What is the closest to 0 in -6, 2/11, 2/5, -2? 2/11 What is the nearest to 2 in 1, -5, 0.5? 1 What is the closest to 2 in 0.3, -0.4, 3, 9? 3 What is the closest to 0.2 in 2/23, 2/19, -3/7? 2/19 What is the closest to 2/21 in 0.6, 0.37, 4? 0.37 What is the nearest to -0.4 in 0.4, -5, 0.035, -8? 0.035 What is the nearest to -0.2 in -1/5, -3/4, 0.03, 2? -1/5 What is the closest to -2.3 in 0.5, -5, 0.2? 0.2 Which is the closest to 1? (a) -5 (b) 1/2 (c) 4/9 (d) 1/3 b Which is the nearest to -1? (a) -0.521 (b) -1 (c) -3 (d) -0.1 b What is the nearest to -28 in -5, 10, 3? -5 What is the closest to 2/9 in 2, 6, 16, -1? -1 Which is the nearest to 22.4? (a) -1 (b) -1/7 (c) -2/7 (d) -5 b Which is the nearest to 0.1? (a) -5 (b) -5/3 (c) 0.13 c What is the closest to 2/11 in -3, -9/8, 0.1? 0.1 What is the closest to -3 in 2/19, -0.2, -0.09? -0.2 Which is the nearest to 0.06? (a) -5 (b) 0.1 (c) 23 (d) 3 b What is the nearest to -0.1 in -1, 3/7, -4? 3/7 What is the closest to 3/32 in -0.4, -2/3, 2/9? 2/9 Which is the closest to 0? (a) -2/3 (b) -3 (c) 3/2 (d) 0.5 d What is the nearest to -8 in 1/10, 4/5, 3? 1/10 Which is the closest to 39? (a) -38 (b) -2/5 (c) -1/6 c What is the nearest to 27 in 1/3, 3/2, -4, -1/4? 3/2 What is the nearest to -0.2 in 0.2, 1, -2/277? -2/277 What is the closest to 1 in 0.11, -2, -0.3, 0.1? 0.11 Which is the nearest to -21? (a) 0 (b) -0.27 (c) 1/3 (d) -2 d Which is the nearest to -0.04? (a) 4/21 (b) -2 (c) 5 a What is the closest to -7 in -2, -1, -4? -4 Which is the closest to 5? (a) -0.3 (b) -0.5 (c) -2 (d) 0.4 d What is the closest to 1 in -11, -2, 0.1? 0.1 What is the nearest to 0.2 in 3.8, 4, 5? 3.8 What is the nearest to 0 in 4, -2/7, 2/11, -12/7? 2/11 Which is the closest to -4? (a) -2/11 (b) 3/8 (c) 3/5 a What is the nearest to -1 in 4/7, -4/5, -3, 1/9? -4/5 Which is the nearest to -7? (a) -4/7 (b) -0.2 (c) 6 a Which is the closest to 2/5? (a) -312 (b) -0.5 (c) 5 (d) -0.1 d Which is the nearest to -2? (a) 3/4 (b) 0.2 (c) 0 (d) -170 c What is the nearest to 1/3 in 2/13, -0.1, 2/7, 1/8? 2/7 What is the closest to -2/9 in 1/3, 0.2, -1/2? -1/2 Which is the closest to 2? (a) -111 (b) 0.1 (c) 0.3 c What is the nearest to 22 in 0.4, 2, -2, -0.3? 2 What is the nearest to 2 in -3, 0, 3, -0.99? 3 What is the closest to 0.2 in 5, 1/11, 1? 1/11 Which is the nearest to 1? (a) -3 (b) 2/15 (c) 7 b Which is the nearest to -1/4? (a) 82 (b) 0.88 (c) -4 b What is the nearest to -5/7 in 2/17, 0.5, 13? 2/17 What is the closest to 2.3 in 0.5, 19, -3, 0.3? 0.5 Which is the nearest to -0.1? (a) -0.01 (b) -12 (c) 0.4 (d) 2/13 a Which is the nearest to 2/5? (a) 6 (b) -3/7 (c) 226 b What is the closest to 0 in 2/103, -3, -1? 2/103 Which is the closest to 2/3? (a) -2 (b) 3/2 (c) 10 (d) -0.2 b Which is the closest to 5? (a) 0 (b) -4 (c) 1/7 (d) 4 d What is the closest to 208 in -5, 4, -0.2, 1/2? 4 Which is the nearest to 1? (a) 4 (b) 0.92 (c) 1/5 b What is the nearest to 1/2 in -0.4, -2/13, 9? -2/13 Which is the nearest to -1? (a) 1.74 (b) -0.5 (c) 1/6 b What is the closest to 1/10 in 5, 4, -0.03, 0.1? 0.1 Which is the closest to -1? (a) 2 (b) -1/2 (c) -1/3 b What is the nearest to 1/4 in 5, 0.5, -6, -0.1? 0.5 Which is the nearest to -0.1? (a) 2/15 (b) -6 (c) 5/23 a What is the closest to -2 in -1/4, 4/3, 0.2, -4? -1/4 What is the nearest to -0.544 in 2/19, 1, -0.1? -0.1 Which is the nearest to -3/4? (a) 2064 (b) 2/13 (c) 5/3 b What is the nearest to -0.4 in 36, -0.2, -3? -0.2 What is the nearest to -1/4 in -3, -4/5, 1, -4? -4/5 What is the nearest to 0 in 20, 4/7, 5, 0? 0 What is the neares
{ "pile_set_name": "DM Mathematics" }
(-8)). -2/7 What is the value of (-3)/(-2)*14/21? 1 What is the value of 1*-8*(-2)/4? 4 Calculate (18/(-18))/(4/2). -1/2 What is 3/(3*-3*(-2)/(-30))? -5 (-9)/42*(399/18)/(-19) 1/4 Calculate 6/10*30/189. 2/21 What is (-2)/(((-84)/27)/14)? 9 What is ((12/(-42))/(-1))/(8/(-14))? -1/2 Calculate -12*(-5)/((-90)/(-6)). 4 Calculate (78/182)/(1/(-7)). -3 Evaluate 6*((-4)/(-50))/((-12)/20). -4/5 Evaluate ((15/3)/10)/((-14)/12). -3/7 Evaluate (-56)/49*77/(-22). 4 Evaluate 40/(-32)*(-108)/45. 3 Evaluate (3/(63/6))/((-12)/18). -3/7 ((138/60)/(-23))/(2/16) -4/5 Evaluate (3/3)/(14/(-98)). -7 Calculate 0/1*(-1)/(6/(-6)). 0 Evaluate (2/6)/((-2)/6). -1 Calculate ((-20)/6)/(24/36). -5 0/((18/2)/9) 0 Evaluate ((-1116)/1984)/(1/(4/3)). -3/4 What is the value of (3*6/(-180))/((-2)/(-16))? -4/5 Calculate (6/(-4))/((-18)/(-72)). -6 Evaluate (24*3/384)/((-6)/(-4)). 1/8 ((-15)/(-10))/(18/(-60)) -5 Calculate 0/((-1)/(2*2/8)). 0 What is the value of (-4)/(-2)*(-83)/2158? -1/13 What is the value of 133/38*(-2)/7? -1 What is (10/(160/(-56)))/(1/2)? -7 Calculate ((-30)/(-5))/((-27)/(-9)). 2 (4/(-5))/((-8)/440*-11) -4 ((-27)/(-2))/9*(-3)/6 -3/4 What is the value of (6/10)/((-6)/60)? -6 What is (870/1450)/(-2*6/4)? -1/5 What is 1*-1*(-1)/(-1)? -1 ((-6)/27)/((-1)/(6/2)) 2/3 What is the value of (-1)/(-2)*0/4? 0 What is the value of (-2)/3*21/56? -1/4 What is (1/1)/2*2? 1 What is -3*-20*(-3)/36? -5 What is (-15)/4*(-8)/(-20)? -3/2 Calculate (5*(-10)/1200)/(3/(-8)). 1/9 Calculate (-20)/8*8/10. -2 Calculate 64/2080*5/(-2)*-2. 2/13 Evaluate (6/8)/(90/20). 1/6 Evaluate (430/(-1032))/(75/24). -2/15 What is (-36)/(-27)*-3*1? -4 (-14)/(-22)*258/903 2/11 (10*(-2)/120)/(2/2) -1/6 What is (-342)/95*(-5)/2? 9 What is the value of (2/2)/((-28)/28)? -1 What is the value of (((-88)/48)/11)/(2/(-12))? 1 Evaluate 5/((16/4)/(-4)). -5 What is the value of (-5)/(-45)*(-18)/4? -1/2 What is 0/(7/(49/14))? 0 12/(-45)*4/((-8)/(-5)) -2/3 (-7)/(210/(-4))*5/2 1/3 Evaluate (((-96)/(-462))/8)/((-2)/(-14)). 2/11 3*2*1/6 1 What is (21/(-2))/(-3)*3/21? 1/2 What is (43/215)/((-16)/(-30))? 3/8 What is -2*(154/(-70))/(-11)? -2/5 What is (-24)/54*1*(-6)/4? 2/3 What is 11/2*480/660? 4 Evaluate 36/15*45/72. 3/2 What is (((-325)/13)/5)/1? -5 What is (-12)/(-110)*((-495)/(-18))/(-11)? -3/11 Calculate ((-21)/(1050/20))/((-4)/40). 4 ((-70)/(-945))/(3/18) 4/9 Calculate 5*(6/12)/((-10)/4). -1 What is 6/((8/12)/((-1)/(-3)))? 3 What is (-16)/4*2*1/(-28)? 2/7 What is (-1)/(6/(-27))*6/(-9)? -3 What is (4/6)/(3*(-2)/45)? -5 30/18*(-144)/(-40) 6 What is (-4)/18*(-93)/217? 2/21 Evaluate (2/(4/1))/(1/(-2)). -1 ((-1)/(-1)*-1)/((-3)/9) 3 What is the value of 6/(-21)*(-252)/684? 2/19 What is 6/(-22)*20/30? -2/11 Calculate -9*((-8)/(-6))/(12/(-3)). 3 Calculate (-2)/(-1)*(-2)/(-4)*-1. -1 (4/(-8))/(2*(-1)/(-6)) -3/2 Calculate (-12)/(-4)*4/30*-5. -2 Calculate 1/((-2)/10*-5). 1 10/4*152/190*1 2 Calculate (-1*1/4)/(15/(-60)). 1 What is the value of 8/((-224)/(-12))*7? 3 What is 4/16*-6*(-10)/(-5)? -3 Evaluate (-6)/4*9/(-108). 1/8 Calculate -2*((-11)/2)/(-11). -1 What is the value of (2/(-4))/(2/(40/2))? -5 Evaluate ((-17)/68)/(-4*(-4)/32). -1/2 Calculate (-2)/(-2)*(-3)/9. -1/3 Evaluate (-18)/8*224/168. -3 What is the value of 10/25*(-100)/(-8)? 5 What is the value of ((-5)/4)/((-115)/46)? 1/2 What is 54/27*(-1)/8? -1/4 Evaluate ((-20)/(-70))/(9*8/42). 1/6 Calculate (-12)/(-6)*(-1)/4*-2. 1 Calculate ((-12)/(-3))/(-2)*9/(-6). 3 Calculate 3/2*24/162. 2/9 What is the value of 7/(35/(-25))*8/10? -4 What is ((-524)/131)/((-1)/1)? 4 (2/4*3)/((-1254)/(-88)) 2/19 What is the value of (2/84*8)/((-2)/(-3))? 2/7 Calculate ((63/(-9))/(-7))/(1/(-3)). -3 What is the value of 146/(-146)*(1*2)/(-10)? 1/5 What is the value of ((-18)/(-27))/(-1*2/(-6))? 2 Calculate (5/(-3))/(11/(-33)). 5 Evaluate 12/(-16)*16/6. -2 What is the value of ((-56)/140)/(-4*(-2)/(-4))? 1/5 Evaluate (-1)/28*55/((-825)/180). 3/7 ((-6)/((-36)/(-6)))/(-2) 1/2 Calculate 0/(6*((-66)/(-12))/(-11)). 0 What is (-15)/10*(-32)/12? 4 Evaluate ((-27)/3)/(16/(80/(-15))). 3 -5*80/200*1*-1 2 Evaluate -1*1*(-2)/5*10. 4 -1*(0/(-4))/6 0 Evaluate 5*3*4/(-30). -2 Calculate (1/(-2)*-1)/((-74)/(-592)). 4 What is the value of (-12)/((-1)/3*162/36)? 8 (-8)/20*(-10)/(-22) -2/11 Calculate ((-11)/(220/(-2)))/(2/5). 1/4 Evaluate ((-15)/(-35))/((-2)/(12/9)). -2/7 What is the value of ((-2)/(-5))/((-45)/(-75))? 2/3 Calculate (-2)/1*(-2)/((-12)/9). -3 Calculate 4/10*(105/12)/7. 1/2 ((-16)/(-8))/((-3)/12) -8 Evaluate 3*5/(-30)*(-24)/20. 3/5 ((-3)/(-1))/(2*3/6) 3 What is the value of -1*12/2*2/(-16)? 3/4 Evaluate (-4*4)/(-6*22/(-66)). -8 Calculate 210/175*(-10)/114. -2/19 Evaluate ((-2)/3)/((-9)/(135/(-10))). -1 ((-2)/((-12)/(-2)))/(6/54) -3 What is the value of (0/(4/1))/((-24)/(-12))? 0 Evaluate (32/(-336))/(3/7). -2/9 What is the value of (-2*(-2)/(-10))/(52/(-130))? 1 6/15*20/(-48) -1/6 Evaluate 8*2/40*(-15)/4. -3/2 Calculate ((-5)/15)/(7/105). -5 Calculate ((-3)/(-9))/((-7)/42). -2 (((-2)/11)/1)/((-4)/22) 1 Evaluate (3/(-9))/(((-5)/2)/5). 2/3 What is the value of 91/((-143)/(-11))*1? 7 Calculate ((-2)/(-1))/(((-8)/(-16))/1). 4 What is (-21)/7*(-4)/6? 2 What is ((-4)/(-2))/((-11)/((-66)/(-4)))? -3 What is the value of ((-4)/2)/((-260)/(-65))? -1/2 Evaluate (-30)/(-18)*(-24)/(-20). 2 Calculate 1*(-2)/1*15/(-10). 3 Evaluate 4*(-13)/((-156)/(-9)). -3 What is the value of 0/(-10)*(-2)/(-3*2)? 0 What is ((0/(-2))/(-2))/((-54)/(-54))? 0 21/3*4/(-4) -7 What is 10/(-66)*(-3)/(-30)*4? -2/33 What is (-6)/(-45)*2*(-10)/16? -1/6 Calculate (-14)/70*(5*28)/(-4). 7 What is the value of ((-4)/(-22))/(19/(-418)*-30)? 2/15 Calculate (5/6)/((-15)/(-6)). 1/3 What is 1*(-6)/8*-4? 3 Evaluate -4*(-45)/72*(-8)/10. -2 What is (9/6)/(9/24)? 4 Evaluate (-64)/16*1/(-8). 1/2 (1/(-4))/((-23)/92) 1 What is the value of ((-40)/200)/(18/(-10))? 1/9 What is the value of (-2)/((4/7)/((-18)/147))? 3/7 Evaluate -1*(-4)/(-2)*(-8)/4. 4 Calculate 5/((-100)/(-8))*4/8. 1/5 -2*(-6)/18*(-21)/(-2) 7 What is (3*(-14)/(-273))/1? 2/13 Evaluate (-210)/(-168)*-12*16/(-60). 4 Calculate ((-10)/(-8))/5*24/42. 1/7 (-1)/(((-117)/2)/9) 2/13 Evaluate 1*(-15)/(-72)*(-8)/(-20). 1/12 What is the value of (135/12)/3*(-16)/40? -3/2 Evaluate ((8/(-5))/(14/35))/(-2). 2 What is the value of (80/16)/(2/2)? 5 What is ((-2)/(-3))/(2/15*5)? 1 Evaluate (1/(-2))/((-15)/(-10))*1. -1/3 ((-2)/6)/(4/(-144)*3) 4 Calculate 18/(-15)*(-20)/8. 3 (-5)/(-5)*-3*6/63 -2/7 What is (-1*0/((-28)/4))/1? 0 (4/(-15))/((-1)/(33/22)) 2/5 2/6*3*1/3 1/3 Calculate ((-24)/(-189)*3)/((-4)/6). -4/7 Evaluate (2/3)/(768/288). 1/4 What is (2/22)/((-20)/40)? -2/11 What is the value of (6/(-9))/(36/54)? -1 Calculate 9/2*((-20)/(-105))/2. 3/7 Evaluate ((-9)/9)/((-2)/((-14)/1)). -7 Calculate 2*(-1)/(2*(-1)/(-3)). -3 Calculate ((-3)/(-14))/(12/16). 2/7 What is the value of 2/(-10)*5/2*-6? 3 6/(-4)*35/84*8 -5 Evaluate (16*6/12)/((-8)/(-4)). 4 Calculate 17/(-119)*21/9. -1/3 Evaluate 8/6*(-1)/((-1)/3). 4 What is the value of 1/3*(-27)/(-6)? 3/2 What is the value of (-2)/20*2/((-24)/30)? 1/4 What is the value of 1152/(-96)*(-1)/(-3)? -4 0/((-9)/((-72)/(-16))) 0 ((-1)/(35/(-42)))/((-231)/(-70)) 4/11 Evaluate (80/(-30))/(-4)*-2. -4/3 (-96)/(-84)*56/144 4/9 What is the value of (-2)/(-15)*((-231)/22)/7? -1/5 Calculate ((-8)/6)/(68/(-102)). 2 Calculate ((-40)/(-5))/(-24)*-9. 3 What is ((-4)/3)/((-10)/(-15))? -2 What is ((-2)/10)/(11/11)? -1/5 What is (6/(-64))/((-51)/(-204))? -3/8 Calculate ((-153)/36)/17*(-6)/(-1). -3/2 What is (-1)/((-3)/3*1)? 1 What is the value of ((10/6)/5)/((-2)/(-12))? 2 Calculate ((-2)/(-112))/(57/456). 1/7 What is the value of (14/(-28))/(6/4)? -1/3 Calculate (20/(-15))/(12/6). -2/3 Calculate 51/68*(-40)/6. -5 (-108)/24*3/((-36)/8) 3 Evaluate ((-34)/119)/(20/35). -1/2 (-2)/(-4)*(-1)/1*2 -1 Evaluate 8*1/26*3/(-6). -2/13 Calculate 6*((-2)/6)/(8/12). -3 6/(-12)*(-20)/(-10) -1 3/4*(160/12)/5 2 -4*3*(-5)/(-60) -1 Evaluate (-1)/(((-28)/(-16))/7). -4 Calculate -2*(-1)/((-2)/5). -5 Evaluate 1/(5/(-140)*4). -7 What is the value of 2/4*72/(-198)? -2/11 Evaluate 6*(-12)/18*(-3)/(-4). -3 Evaluate ((-54)/8)/9*4/(-6). 1/2 Evaluate (-3)/(63/(-8))*(-39)/26. -4/7 What is the value of (0/(-1))/(36/9)? 0 What is ((-4)/(-80))/(1*(-6)/(-16))? 2/15 What is (-10)/8*1*4? -5 What is (-7)/11*(-6)/42? 1/11 Evaluate
{ "pile_set_name": "DM Mathematics" }
v? -32*x**3 + 29756*x Find the second derivative of 15*n*y**5 + 157*n*y**2 - 34*n*y - 15*n wrt y. 300*n*y**3 + 314*n Find the second derivative of -950*c**4 + 383*c**3 + 2*c**2 - 198660*c wrt c. -11400*c**2 + 2298*c + 4 What is the second derivative of -g**5*j + 55*g**3*j**2 - 24*g**2 - 24*g*j**2 + 1571*g*j wrt g? -20*g**3*j + 330*g*j**2 - 48 Differentiate 1144392*p**3 - 941040 wrt p. 3433176*p**2 What is the second derivative of -5861*u**2*v - 5*u**2 + 23*u*v - 1315*v wrt u? -11722*v - 10 Differentiate r**3 - 8480*r**2 - r + 3539. 3*r**2 - 16960*r - 1 What is the second derivative of -2*i**2*t**3 + 3*i**2*t + 9749*i*t**3 - 21*i*t + 9*t wrt t? -12*i**2*t + 58494*i*t What is the third derivative of -2322*d*l**5 + d*l**2 + 3464*d*l - d - 36*l**5 - l wrt l? -139320*d*l**2 - 2160*l**2 What is the second derivative of -562*d**3*u**2 - 26*d**3 - 158*d*u**2 + 2*d*u - d + 71*u**2 wrt d? -3372*d*u**2 - 156*d What is the derivative of -2*s**4 - 2*s**3 - 26819*s**2 + 4*s + 1073877? -8*s**3 - 6*s**2 - 53638*s + 4 What is the third derivative of 194202*t**6 - 2*t**2 - 821*t + 32 wrt t? 23304240*t**3 Find the second derivative of -538201*l**4 + 6*l**2 - 1586856*l. -6458412*l**2 + 12 What is the first derivative of -543*a**2*n**2 + 32*a**2*n + 3*n**2 - 1320*n + 1 wrt a? -1086*a*n**2 + 64*a*n What is the second derivative of 3375*r**3 + 3*r**2 + 6*r + 3061? 20250*r + 6 Find the second derivative of 7*a**2*c**2 - 30*a**2*c - 1431*a*c**2 - 24*a*c + c**2 + 3*c wrt c. 14*a**2 - 2862*a + 2 What is the first derivative of 6485*l**3*q + 21719*q wrt l? 19455*l**2*q What is the derivative of 663*v**3 - 74*v**2 + 110622? 1989*v**2 - 148*v Differentiate -25*h*q**2*y + 630*h*q**2 - h*q*y**2 + 144*q**2*y + 4*q*y**2 with respect to h. -25*q**2*y + 630*q**2 - q*y**2 What is the third derivative of 436952*u**3 - 144425*u**2 wrt u? 2621712 Differentiate 60*r**2 + 17*r - 313794 wrt r. 120*r + 17 Find the second derivative of 25313*j**2*m**2 - 15*j**2*m + j**2 - 18*j*m**2 + 4*j - 41 wrt m. 50626*j**2 - 36*j Differentiate -1758052*d + 2787011 with respect to d. -1758052 What is the first derivative of h**2*i**2 - 3*h**2 + 46*h*i + 22691*h - 136*i**2 - i - 2 wrt i? 2*h**2*i + 46*h - 272*i - 1 What is the second derivative of 23965*t**5 + 50*t - 13 wrt t? 479300*t**3 What is the third derivative of -9*d**2*f**4 - 2*d**2*f**2 + 75317*d**2*f + 7217*f**3 wrt f? -216*d**2*f + 43302 What is the third derivative of g**2*k**4 + 4*g**2*k**2 - g**2*k + 458490*g*k**5 + g*k**2 - g + 32*k**2 wrt k? 24*g**2*k + 27509400*g*k**2 What is the third derivative of 1953799*g**3*p**4 - 63*g**3*p**2 + 28669*p**2 wrt p? 46891176*g**3*p Find the second derivative of -196734*q**4 + 312445*q. -2360808*q**2 Find the first derivative of -9421*t**3 + 58243 wrt t. -28263*t**2 Find the second derivative of -140*d**2*l**2 + 204*d**2*l + d*l + 142912*l**2 wrt d. -280*l**2 + 408*l What is the second derivative of -43*l**2*y**3 + 802*l**2*y**2 + 4*l**2*y + 70*y + 51 wrt y? -258*l**2*y + 1604*l**2 What is the second derivative of 600196*p**2 + 33*p + 588 wrt p? 1200392 What is the second derivative of -6958*c**3 + 5*c**2 + 18973*c + 2? -41748*c + 10 Find the first derivative of -705893*n*w + 16656*n + 1 wrt w. -705893*n Differentiate c**3*k*o**2*p - 58*c**3*o**2 + 8*k*o**2*p - 677*k*p + 14*p wrt k. c**3*o**2*p + 8*o**2*p - 677*p What is the first derivative of 2140*n**2*p**3 + 349*n**2*p - 2533*n**2 + 75 wrt p? 6420*n**2*p**2 + 349*n**2 What is the third derivative of 1374848*h**3 - h**2 - 55237*h - 10? 8249088 What is the third derivative of 1307900*h**6 - 174*h**2 + 3007*h wrt h? 156948000*h**3 What is the derivative of 1776*n**2 - 3*n + 34630? 3552*n - 3 Differentiate -337093*m - 396407 with respect to m. -337093 Find the third derivative of -194562*c**5 + 72932*c**2 - 1 wrt c. -11673720*c**2 Find the second derivative of -n**2*y**3 - n**2*y**2 + 125*n**2*y + 164*n**2 + 2*n*y**3 + n*y**2 - 781 wrt n. -2*y**3 - 2*y**2 + 250*y + 328 What is the third derivative of 1584*c**3*h**2 + c**3*o - 4*c**2*h**2*o - c**2*h**2 + 1371*c*h + 2*c*o wrt c? 9504*h**2 + 6*o Find the third derivative of -3*v**6 + 61609*v**4 - 11*v**2 + 16571. -360*v**3 + 1478616*v Differentiate -281105*k**3 + 277206 with respect to k. -843315*k**2 What is the derivative of 181801*d*j - 20130*j + 4 wrt d? 181801*j What is the derivative of -50836*c**4 - 53168 wrt c? -203344*c**3 What is the first derivative of -238*u*z + 22*u - 135*z + 1 wrt u? -238*z + 22 What is the second derivative of 63911*s**4*w**2 + 4*s**2*w**3 + s*w**2 - 270*s*w + 3*w**3 wrt s? 766932*s**2*w**2 + 8*w**3 What is the third derivative of -649412*y**3 - 132*y**2 - 478*y wrt y? -3896472 Find the third derivative of -1241424*w**3 - 3*w**2 - 319069*w wrt w. -7448544 Find the second derivative of -319346*l**4 + 60*l - 1331 wrt l. -3832152*l**2 Find the third derivative of -311451*j**4 - 59*j**2 + 2*j + 148 wrt j. -7474824*j What is the derivative of 24*f*j*p*u**2 - 468*f*j*u**2 + 5*f*j*u + 6*f*p + 56*f*u**2 - 13*j*p wrt p? 24*f*j*u**2 + 6*f - 13*j What is the second derivative of -205*a**3*p**2*z**2 + 60*a**3*p*z**2 + a**3*p*z - 6*a**3*p - 2*a**3*z + 6*a*p**2 + 2 wrt z? -410*a**3*p**2 + 120*a**3*p What is the third derivative of -20*q**4 - 3243*q**3 - 109427*q**2 wrt q? -480*q - 19458 Find the second derivative of 3809849*f**2 + 9403*f + 5. 7619698 Find the second derivative of -320*d**5 - 115*d**3 + 671147*d wrt d. -6400*d**3 - 690*d Find the second derivative of -4*u**4 + 59*u**3 - 29*u**2 + 41408*u. -48*u**2 + 354*u - 58 What is the third derivative of 48026*f**3 - 12629*f**2 wrt f? 288156 Differentiate -824293*b*y - 672196*b + 2*y with respect to y. -824293*b + 2 Find the first derivative of 2232268*c**2 - 4326310 wrt c. 4464536*c What is the third derivative of -52102*c**5 + c**2 + 12933*c - 2? -3126120*c**2 What is the second derivative of 14*l**2*o**3 + 496*l**2*o*q**3 + 2*l**2*q**3 + 41*l*o**3 + l*o**2 + l*q - 6*o**3*q**2 - o**2*q**3 wrt l? 28*o**3 + 992*o*q**3 + 4*q**3 What is the second derivative of -460*b**4 + 2*b**3 + 13*b**2 - 73292*b? -5520*b**2 + 12*b + 26 What is the third derivative of -2*t**5 + 3416*t**4 - 32*t**3 + 1993692*t**2? -120*t**2 + 81984*t - 192 Find the first derivative of t**4 + 2*t**3 + 58777*t**2 + 4*t + 1037428. 4*t**3 + 6*t**2 + 117554*t + 4 Differentiate 2*d**2*o**2*w + d**2*o**2 - 1730*d**2*o - 189*d**2*w - 2*d*w with respect to w. 2*d**2*o**2 - 189*d**2 - 2*d Differentiate 2771394*u + 2948434 with respect to u. 2771394 Find the first derivative of -28614*w - 68677. -28614 What is the third derivative of 5821*c**2*j**3 - 144422*c**2*j**2 + c*j**3 - 5*c*j**2 + 38*j**3 wrt j? 34926*c**2 + 6*c + 228 Find the third derivative of 3*v**4 - 24852*v**3 + 298*v**2 - 316*v wrt v. 72*v - 149112 What is the second derivative of i**3*l**2 - 42*i**3*l + 59925*i**2*l**3 - 791*i wrt l? 2*i**3 + 359550*i**2*l Find the second derivative of -3019252*x**5 - 784404*x wrt x. -60385040*x**3 What is the second derivative of 2*k**4*o**3 + 15165*k**4 - 11*k*o**3 - 360*k*o wrt k? 24*k**2*o**3 + 181980*k**2 Differentiate 510*w**4 + 149*w**2 - 118800. 2040*w**3 + 298*w What is the first derivative of 42*h**2*k - 8370*h**2 - 2195*h*k - 1 wrt k? 42*h**2 - 2195*h Differentiate -f*j**2 - 313*f*j - 29*f - 3*j**2 - 14*j - 354 with respect to j. -2*f*j - 313*f - 6*j - 14 Find the second derivative of -137553*m**2 - 32974*m + 8. -275106 Find the first derivative of -149811*j**4 - 103902. -599244*j**3 What is the third derivative of 76782*r**4 + r**3 - 276*r**2 - 2*r + 67? 1842768*r + 6 Find the third derivative of -4*w**6 + 3*w**5 + 102*w**3 - 5*w**2 + 116*w - 8 wrt w. -480*w**3 + 180*w**2 + 612 What is the second derivative of 7111*l**3 + 5032*l wrt l? 42666*l What is the third derivative of -898*k**3*s*y + 18*k**3*s + k**3*y - 4*k**3 - 87*k**2*y + 2*k**2 + 2700*k*s*y + 2*s*y wrt k? -5388*s*y + 108*s + 6*y - 24 Find the third derivative of 1341*s*t**5 - 3*s*t**2 - 1918*s*t + 2*s - 103*t**5 - 5*t**2 wrt t. 80460*s*t**2 - 6180*t**2 Find the third derivative of 1028*a**5 + 2*a**4*s**3 - 2*a**3*s + 2*a**2 - 1493*s**3 - 2*s wrt a. 61680*a**2 + 48*a*s**3 - 12*s Find the second derivative of -d**2*r**3*s**2 - 59*d**2*r**3 - 7*d*r*s + 145662*r**3*s**2 - 8*r**3*s wrt s. -2*d**2*r**3 + 29
{ "pile_set_name": "DM Mathematics" }
picked without replacement from ekldttqdtekqkq? 12/1001 Two letters picked without replacement from {p: 2, j: 2, t: 2, l: 3, m: 1, h: 2}. Give prob of picking 1 m and 1 l. 1/22 Two letters picked without replacement from ffffafzfffffyaf. Give prob of picking 2 a. 1/105 Three letters picked without replacement from ndcknjzzzjncdczd. What is prob of picking 2 n and 1 k? 3/560 Calculate prob of picking 2 u, 1 x, and 1 w when four letters picked without replacement from uuwwuuuxxwxbuuwuwu. 3/17 What is prob of picking 1 w, 1 p, and 1 e when three letters picked without replacement from {e: 1, w: 3, t: 5, p: 2, y: 1}? 3/110 Two letters picked without replacement from {s: 2, v: 2, y: 1, i: 1, r: 2}. What is prob of picking 2 v? 1/28 Two letters picked without replacement from {o: 2, m: 1, r: 1, v: 2}. Give prob of picking 1 m and 1 o. 2/15 What is prob of picking 1 c and 1 k when two letters picked without replacement from glkgkcclcc? 8/45 Three letters picked without replacement from {g: 7, b: 7, o: 5}. What is prob of picking 1 o and 2 b? 35/323 Calculate prob of picking 3 s and 1 x when four letters picked without replacement from {e: 1, r: 4, x: 9, y: 1, s: 1, j: 1}. 0 Three letters picked without replacement from hdifhiokf. Give prob of picking 1 h and 2 i. 1/42 What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 5, r: 2, u: 3}? 1/3 Calculate prob of picking 3 a when three letters picked without replacement from {a: 1, z: 1, v: 1, r: 1, t: 1}. 0 Four letters picked without replacement from ixxxciix. What is prob of picking 2 i and 2 x? 9/35 Calculate prob of picking 2 t when two letters picked without replacement from wttwtwt. 2/7 Calculate prob of picking 1 i and 1 k when two letters picked without replacement from kvswikkksw. 4/45 Two letters picked without replacement from pcccqqepceeteb. What is prob of picking 2 e? 6/91 What is prob of picking 4 f when four letters picked without replacement from fiififiiififff? 5/143 Three letters picked without replacement from {t: 3, r: 3, j: 1}. Give prob of picking 1 t, 1 r, and 1 j. 9/35 What is prob of picking 2 h and 1 f when three letters picked without replacement from nfhjhhxh? 3/28 What is prob of picking 4 c when four letters picked without replacement from pycccccccccccccccccc? 12/19 Two letters picked without replacement from gnpvayv. What is prob of picking 1 n and 1 a? 1/21 Two letters picked without replacement from {g: 2, p: 2, z: 1, k: 6, b: 6}. Give prob of picking 2 g. 1/136 Calculate prob of picking 3 w and 1 q when four letters picked without replacement from {s: 1, q: 2, w: 7, f: 1, j: 3}. 10/143 Two letters picked without replacement from uuuupuppppuup. What is prob of picking 2 u? 7/26 Three letters picked without replacement from dyyyydydyyy. What is prob of picking 3 d? 1/165 Two letters picked without replacement from aelledleeesllealle. Give prob of picking 1 a and 1 l. 14/153 Three letters picked without replacement from {g: 4}. Give prob of picking 3 g. 1 Three letters picked without replacement from {f: 9, j: 11}. What is prob of picking 3 j? 11/76 What is prob of picking 2 b and 2 k when four letters picked without replacement from zzklllbbkblkkbknbkl? 25/646 Two letters picked without replacement from {z: 2, i: 1, v: 1, c: 5, d: 3}. Give prob of picking 1 v and 1 c. 5/66 What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 11, t: 1, h: 1}? 11/78 What is prob of picking 4 j when four letters picked without replacement from {x: 7, j: 4, d: 2, t: 1}? 1/1001 What is prob of picking 1 h and 2 d when three letters picked without replacement from ddddhdddh? 1/2 Three letters picked without replacement from znzvvqvzknqqzvntqn. What is prob of picking 2 z and 1 t? 1/136 What is prob of picking 1 u and 1 g when two letters picked without replacement from {o: 2, g: 1, t: 1, n: 2, v: 4, u: 2}? 1/33 Calculate prob of picking 1 d and 2 q when three letters picked without replacement from {d: 3, q: 7}. 21/40 Four letters picked without replacement from bpjjb. Give prob of picking 2 b and 2 j. 1/5 Two letters picked without replacement from envvevnovrvnv. What is prob of picking 1 v and 1 n? 3/13 Calculate prob of picking 2 t when two letters picked without replacement from {t: 15, z: 3}. 35/51 What is prob of picking 1 o and 1 p when two letters picked without replacement from rpo? 1/3 Two letters picked without replacement from {f: 4, u: 11, y: 3}. What is prob of picking 1 f and 1 u? 44/153 Calculate prob of picking 2 e when two letters picked without replacement from {a: 7, e: 2, n: 1}. 1/45 Four letters picked without replacement from {y: 2, u: 1, n: 3, f: 4, h: 2}. What is prob of picking 2 h and 2 y? 1/495 Four letters picked without replacement from {r: 5, n: 13}. What is prob of picking 4 n? 143/612 Three letters picked without replacement from {z: 1, n: 2, m: 4, j: 1}. Give prob of picking 3 m. 1/14 What is prob of picking 3 m when three letters picked without replacement from mkkmnmknkmn? 4/165 Calculate prob of picking 2 g, 1 p, and 1 l when four letters picked without replacement from oploggoggppoooolu. 9/595 What is prob of picking 2 f and 1 h when three letters picked without replacement from xoxohoxoxoxfoxxxxfoo? 1/1140 Four letters picked without replacement from {j: 3, h: 5}. Give prob of picking 3 h and 1 j. 3/7 Calculate prob of picking 2 o when two letters picked without replacement from {v: 4, o: 2, r: 1, c: 1, p: 2}. 1/45 Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {m: 6, e: 3, r: 1, w: 1, d: 6}. 3/136 What is prob of picking 1 w and 1 m when two letters picked without replacement from wwwwmmwwwwwwwwwwwwww? 18/95 Four letters picked without replacement from {y: 3, g: 4}. What is prob of picking 4 y? 0 What is prob of picking 1 i, 1 c, and 1 h when three letters picked without replacement from hsonoshshhihchsocc? 3/136 Two letters picked without replacement from aaaamamm. Give prob of picking 1 m and 1 a. 15/28 What is prob of picking 1 c and 1 f when two letters picked without replacement from ccff? 2/3 Four letters picked without replacement from {s: 1, o: 1, y: 2, g: 1, v: 2, e: 2}. Give prob of picking 1 e, 2 v, and 1 o. 1/63 Three letters picked without replacement from gcggcggggggg. Give prob of picking 2 g and 1 c. 9/22 What is prob of picking 1 u and 1 n when two letters picked without replacement from {b: 1, j: 1, l: 1, u: 4, h: 1, n: 4}? 8/33 Calculate prob of picking 1 f, 1 x, and 1 r when three letters picked without replacement from {r: 10, f: 3, x: 4, y: 1}. 5/34 Two letters picked without replacement from hhhuuhyhyhbhbbuh. Give prob of picking 1 u and 1 h. 1/5 Two letters picked without replacement from {c: 1, g: 3, y: 1, n: 6, p: 2, b: 2}. Give prob of picking 1 g and 1 p. 2/35 What is prob of picking 1 w, 2 g, and 1 j when four letters picked without replacement from {a: 1, g: 3, j: 1, w: 7}? 7/165 Calculate prob of picking 1 s and 2 y when three letters picked without replacement from tyseycs. 2/35 Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 3, j: 5}. 15/28 Four letters picked without replacement from {k: 1, z: 2, j: 2, c: 2, u: 3, m: 4}. Give prob of picking 1 c, 2 u, and 1 z. 12/1001 What is prob of picking 1 g and 1 w when two letters picked without replacement from rmmmmtmmwrgt? 1/66 What is prob of picking 3 h and 1 n when four letters picked without replacement from {h: 4, j: 2, n: 10}? 2/91 What is prob of picking 3 v and 1 m when four letters picked without replacement from vvvvmvm? 4/7 Calculate prob of picking 2 q when two letters picked without replacement from {e: 1, q: 2, b: 1}. 1/6 Two letters picked without replacement from {b: 4, p: 2, x: 1, u: 10, j: 2}. What is prob of picking 1 u and 1 p? 20/171 Calculate prob of picking 1 t, 1 r, and 1 l when three letters picked without replacement from {r: 2, y: 1, t: 2, l: 1}. 1/5 What is prob of picking 1 j and 1 v when two letters picked without replacement from rrrkqjrqqjvqqvrqqk? 4/153 Two letters picked without replacement from {y: 1, g: 5, x: 3, t: 1, q: 2}. Give prob of picking 1 q and 1 g. 5/33 Calculate prob of pick
{ "pile_set_name": "DM Mathematics" }
= 0.1 + -0.5. What is the third smallest value in h, j, o? j Let v = -4.5 + 2. Let p = -0.307 - -0.807. Let o = v + p. Which is the second smallest value? (a) -0.08 (b) o (c) 5 a Let o = -170 + 385/3. Let k = 884/21 + o. Which is the second biggest value? (a) -2 (b) -1/2 (c) k b Let w = -17.084 + 0.084. Let l = 114 - 96.9. Let g = l + w. Which is the second biggest value? (a) 3 (b) -4 (c) g c Let i = -27.7 - -30. Let v = 7.3 - i. Let q be 2*-3 + 4 + -1. Which is the smallest value? (a) 1/5 (b) q (c) v b Let s = -5 - -5.06. Let x = s - -3.94. Let w be 58/319 + (-3)/((-66)/(-26)). What is the second smallest value in w, 5/2, x? 5/2 Let k = -0.2824 + -0.0176. Which is the fourth smallest value? (a) -2/3 (b) -0.1 (c) k (d) -0.31 b Let y = -0.22 + -0.78. Suppose 3*l - 21 = -4*v, 5*v = l - 0*l + 12. Suppose -g - 3 = -2*t, -4*t + v*t - 9 = 3*g. What is the third biggest value in g, y, 2/7? g Let l = 4 - 3.93. Let g = 0.03 + l. What is the smallest value in g, -0.4, -1/3, 1? -0.4 Suppose 66 = 3*g + g - q, 2 = -q. Let b(t) = -t**3 + 16*t**2 - 1. Let y be b(g). Let l = 8 + -5. What is the smallest value in 1, y, l? y Suppose 0 = 4*k - 1 + 9. Let r be 6/k + 30/12. Which is the third smallest value? (a) -0.3 (b) 5 (c) r b Let i = -18 - -19. Let z = 1.6 - 2.1. Which is the second biggest value? (a) -0.3 (b) i (c) -4 (d) z a Let z = -25.2 - -24.9. Let p = 0 + 1.9. Let y = p + -10.9. Which is the second biggest value? (a) 2/9 (b) z (c) y b Let l = 21485/11 - 1953. Suppose -2*j - 8 = -0*j - 4*q, 3*q = j + 8. Let m = 7 - j. What is the third smallest value in l, m, -0.2? m Let d = -352.031 + 352. What is the biggest value in d, -3/5, 1? 1 Let n = 0.354 + 10.646. Which is the second smallest value? (a) n (b) 0.4 (c) 0.1 (d) 2 b Let w = 10/21 + 4/21. What is the biggest value in -0.5, -3/4, 4/5, w? 4/5 Let q = 70 - 64.6. Let x = q - 5.1. Which is the fourth biggest value? (a) x (b) 1/6 (c) 0.2 (d) 1 b Let t(p) = p**2 - 7*p - 49. Let w be t(11). Let i be (9/(-6) + -1)*6. Let q be (-20)/(-12)*(-2)/i. Which is the third biggest value? (a) -4/13 (b) q (c) w c Let h be (-28)/60 - 44/(-66). Let u = 189/65 - -48/13. Which is the third biggest value? (a) h (b) u (c) -0.3 c Let p = 29/40 - 1/8. Let g = 0.21 + -0.2. Let u = -3.01 + g. What is the third biggest value in p, 0.1, u? u Suppose -4*v - 2*v = -0*v. Let w = 2 + 2. Which is the second smallest value? (a) w (b) 3 (c) -0.4 (d) v d Let l = -67/7 - -113/14. Let y = 3 - 3.1. Which is the biggest value? (a) y (b) -0.2 (c) l a Let i be (-15)/2*2/(-3). Let t = 65 - 64.64. Let j = t - -3.64. What is the third smallest value in i, j, -0.1? i Let k = -59 + 58.8. Let v = -0.08 - -1.08. Which is the third biggest value? (a) k (b) -0.5 (c) v b Let p = 10.34 + -5.34. Which is the second biggest value? (a) 4 (b) p (c) 11 (d) -6 b Let f = 0 - 0.5. What is the fourth biggest value in 4/5, f, 14/5, -0.3? f Suppose -7*u + 10 = -5*u. Suppose 0 = -u*f - q - 5, -2*f = 4*q - 6 + 26. What is the fourth smallest value in f, -0.3, -3, 5? 5 Let c be 9/4 + (11 - 13). What is the smallest value in 0.5, 6, c, 0.3? c Let n(u) = 5*u + 18. Let j be n(-4). What is the third biggest value in -2.2, -0.5, -4/5, j? j Let f = 22 + -16. Let l = f + -5.9. Let v = 4 - 6. What is the second biggest value in l, 2/13, v? l Let o = 241.6 + -242. What is the third smallest value in 3, -0.08, o, 0.1? 0.1 Let x = -67 - -67.17. Which is the third smallest value? (a) -4 (b) 0 (c) x (d) -0.4 b Suppose -3*j + 110 = 80. Which is the second biggest value? (a) -5 (b) j (c) -4 (d) 4 d Let r(q) = -2*q**2 - 4*q - 4. Let g be r(-4). Let m be (-5)/2*10/g - 1. Which is the fourth smallest value? (a) 5 (b) m (c) 0.5 (d) -4 a Let u = 4/169 - 181/507. What is the third biggest value in -10, u, -1/6? -10 Suppose 3*x - 3*l - 12 = -0*l, 2 = -2*l. Let h be 4/(-3) - 32/x. Let j be (-18)/h + 2/4. What is the third biggest value in -0.3, j, -3? -3 Let g be ((-6)/(-9))/((-32)/(-2736)). What is the biggest value in 4, g, 0? g Let g = 28 - 28. Let w = 17 + -8. Let n = -4 + w. Which is the third smallest value? (a) -3 (b) g (c) n c Let h = -0.8 + 1.31. Let y = h + -0.49. What is the smallest value in 4, y, -2? -2 Let s be (-2 + 4)*42*4/16. Let f be 1 + (-21)/12 - s/(-60). What is the biggest value in f, -8/3, -0.3? -0.3 Let n be (-48)/(-80) - (-7)/(-10). Let q = n - -1/2. Which is the fourth biggest value? (a) -3 (b) 3 (c) q (d) -4 d Let p = -1.48 + 1.48. What is the smallest value in -2/5, -25/2, p? -25/2 Let p be 4 + (-4 - (-452)/234). Let h = p + -16/9. Which is the smallest value? (a) 2 (b) 0.1 (c) h b Let k = -363.237 - -363. Let s = 0.007 + k. What is the third smallest value in 1, 0.4, 1/5, s? 0.4 Let j = 47.8 - 47.8. Let x = -4 - 8. What is the third smallest value in j, -3, -4, x? -3 Let h = 439 + -438. What is the third smallest value in -4, 2, h, 23? 2 Let q = -516 + 850. Let p = q - 2334/7. Which is the second biggest value? (a) 1 (b) 1/6 (c) p c Let r = 0.3 + -0.8. Let d = 8.2 - 13.5. Let f = d + 5.7. Which is the smallest value? (a) f (b) r (c) -4 c Let q be (39/9 - 4)/(-2). Let v be (2 + -74)/((-110)/15). Let r = -562/55 + v. Which is the biggest value? (a) 6/11 (b) r (c) q a Let k = 92.6 - 87. Let f = k + -5.8. Which is the third biggest value? (a) -1/10 (b) 3 (c) f c Let d = -1/48 + -31/48. Which is the third smallest value? (a) 4 (b) d (c) 0.11 a Let x = -63 + 61. Let q be (-288)/(-156) + (-1 + 1 - 2). Which is the second smallest value? (a) -3 (b) 2/5 (c) x (d) q c Let t = 15 + -38. Let l = 20037/818 + 2/409. Let z = l + t. Which is the third smallest value? (a) z (b) -0.2 (c) 0.4 a Let p = -0.056 - -68.056. Let l = p - 64. Let i = 8/5 + -31/10. What is the biggest value in l, i, -1/9? l Let l = -32 - -15. Let x = l + 19. Let z = -4/9 + 2/3. Which is the biggest value? (a) z (b) -2 (c) x c Let q = -12 + 13. Let k be 2/(4/q)*(-6)/(-12). Which is the third biggest value? (a) -4 (b) 2 (c) k (d) 0 d Let h = -666 + 666.3. What is the smallest value in -0.3, -2, h, -7/2? -7/2 Let s = 1 - 4. Suppose -18*a = -6 - 30. What is the third biggest value in 1/2, s, a, -1/2? -1/2 Let i = 38 - 77. Let d = 46 + i. Let p = -0.8 + -0.2. What is the second biggest value in d, p, 0.4? 0.4 Let k = -6 + 6.05. Let n = -6 - -10. Which is the second biggest value? (a) n (b) 0 (c) k c Let v be -4 - ((-39)/15 - 4/10). What is the biggest value in -0.4, v, 2, 3/7? 2 Let g = 1.61 + 0.49. Let w = -213 - -213.9. Let m = g + w. Which is the biggest value? (a) m (b) 3/4 (c) -1 a Let o = 2.41 - 2.91. Let y = -2 - -6. Which is the fourth smallest value? (a) y (b) 1/3 (c) o (d) 4/3 a Let w = 0.005 + -0.047. Let k = w + 5.042. What is the second smallest value in k, 2/7, -0.1? 2/7 Suppose -3 = -30*l + 27*l. Let i be 4 + 0 - (-92)/(-20)*l. What is the third biggest value in -1/7, i, 4? i Let h = 0.062 - 13.062. Let r = 13.1 + h. Which is the biggest value? (a) 6 (b) -2/9 (c) r a Let l be (2/118)/((528/(-32))/(-33)). Which is the third smallest value? (a) -1/8 (b) -4 (c) l c Let n = -25 + 24.82. Let l = 0.12 - n. Which is the third biggest value? (a) -0.5 (b) l (c) -0.1 a Let x be 106/3 + (-6)/(-18). Let y = x + -35. Which is the third smallest value? (a) 0 (b) y (c) -5/7 b Let p = 1/562 - 567/2810. Suppose 0 = -4*z + 2*g + 10, -6*g - 1 = 2*z - 5*g. What is the second biggest value in z, -0.5, p, -0.4? p Let i = -0.129 - -0.329. Suppose r = -3*w + 5*r + 17, 2*w + 3*r = 0. What is the third biggest value in w, 1, 0.3, i? 0.3 Let k = -35 - -34.992. Let t = 0.092 - k. Let y = 0 + 3. What is the smallest value in -5, y, t? -5 Let m(l) = -l**2 + l + 5. Let b be m(0). Let n = b - 10. What is the second smallest value in 0.4, n, -3/5? -3/5 Let s = -154 + 82. Let r be (6/20)/(s/30). Let x = 364 + -364. Which is the third biggest value? (a) 0.5 (b) r (c) x b Let n be 2/7 + 2/(-7). Let i = -16.8 - -1.8. Let p = i - -17. What is the third biggest value in 0.1, n, p? n Let o = 780 + -776. Let w = -0.1 - -0.1. What is the second biggest value in 2/3, w, o? 2/3 Let o = -54.11 + 54. Let k = o - 3.89. What is the fourth biggest value in 3, 5, 0.5, k? k Let f = -4.218 - 0.782. What is the secon
{ "pile_set_name": "DM Mathematics" }
positive. a**(2602/35) Simplify ((c*c**0*c)**(-2/91)/(c**(-3/2)/c*c*c/(c**4*c)))/((c**(2/11)/(c**(-4)/c*c))/(c**(-4/7)*c**(-2/11)/c*c)) assuming c is positive. c**(149/286) Simplify ((x*x**(-13/4))/(x**(-2)/x)*x/x**(-7)*(((x*(x**(-19)/x)/x*x)/x)/x)/x*x)**19 assuming x is positive. x**(-931/4) Simplify ((u**(-1/8)/(u/u**(2/31)))/(u**(-7)*u**(3/8)))/((((u/u**(-7))/u)/u**(-5/2))/(u**(5/4)/u**1)) assuming u is positive. u**(-457/124) Simplify (k**(-5/6)*k*k*k**(-2/7))**(-1/3)*(k**5/(k**(-1/5)*k))/((k/k**(-2/5))/k*k)**19 assuming k is positive. k**(-14297/630) Simplify ((m*m/(m*m**(-3/11))*m)/m**(-1))/((m*m/(m*m/m**26)*m)/(m*m*((m/(m/(m*m*m/m**(-4/3))*m))/m)/m)) assuming m is positive. m**(-673/33) Simplify (h*h/(h*h*h**(-32)/h)*h)**(-33)/(h**(-28)*h**(-3/32)) assuming h is positive. h**(-35005/32) Simplify (i**(2/33)/i**(4/5)*(i/i**(-8)*i)**7)**(-26) assuming i is positive. i**(-297128/165) Simplify (u**(-3)*u**(-3/7))**35*u**(2/9)/(u*u**(-4)*u)*(u**(-4/5)*u)/(u**(-2/3)/u) assuming u is positive. u**(-5216/45) Simplify ((((b*(b*b**0)/b)/b**(3/2))/(b**(3/7)/b**(1/19)))**(6/19))**(4/3) assuming b is positive. b**(-932/2527) Simplify (u*u**(-5)/u*u*u*(u/(u**(-5/6)/u))/u*u)**25/(u**(-3)/(u/(u*u**(3/7))*u))**29 assuming u is positive. u**(4175/42) Simplify (w/(w/w**6)*w**(1/2)*((w*w/(w*w**2))/w)/w**(-2/7))/((w/w**1*w*w)**(4/7)*(w**1*w)/w**(-1/5)) assuming w is positive. w**(101/70) Simplify ((s**(2/3))**49)**(-30)*(s**(2/5))**(11/3)*(s**(-1/4))**(-6/17) assuming s is positive. s**(-499007/510) Simplify (z**23*z*z/(z/(z*z**(6/11)/z))*(((z*z**(-1/13)*z)/z*z)/z*z)/z**(-17/2))**(1/91) assuming z is positive. z**(10001/26026) Simplify (((f/(f**(-1/21)*f)*f)**(1/25))**(1/28))**(1/9) assuming f is positive. f**(11/66150) Simplify ((i**(3/7)/i**(-2/5))/((i**(2/3)*i)/(i*(i*((i/(i**(-8)/i))/i)/i)/i*i)))**(-46) assuming i is positive. i**(-44252/105) Simplify l**(12/11)*l*l**(-2/149)*l*(l**(-3/14))**(-13) assuming l is positive. l**(134537/22946) Simplify ((d*d**1)/((d**(-1/4)/d*d)/d)*d**(-1/9)/(d/d**(1/14)))**(-3/7) assuming d is positive. d**(-557/588) Simplify (h/(h/h**5)*h*h*(h/(h/h**(-1/3))*h)/h)/(h**(-1)/h*h**(-6/7))*h/(h/(h**8/h))*h**(-7)/h*(h**2)**(-2/23) assuming h is positive. h**(4033/483) Simplify (((n/(n*n*n*n*n**1*n))/n)**(-13))**(-1/11)/((n**1*n)**43*(((n*n**5)/n)/n)/(n**(-2/5)/n)) assuming n is positive. n**(-5417/55) Simplify (g*g**(1/9)/g*g)/(g/((g/g**(-4))/g*g*g))*g*g/(g/((g*(g**(-8)/g)/g)/g))*g**(4/7)*g*g/(g/(g/g**5))*g**0*g**6*g*g**8/g assuming g is positive. g**(547/63) Simplify (q*q*q**9*q*q**(-15)*q*(q/(q/q**15))/q**(1/17))**(-20) assuming q is positive. q**(-4400/17) Simplify (d**(-6/7)*d**(1/8))**(-22)/((d/(d/d**(-1/3)))**(-46)/(d**(2/7))**(-3/4)) assuming d is positive. d**(47/84) Simplify (z/(z*z**(-6))*z*z/(z**(-4/5)*z))/(z**(1/2)/(((z*z*z**(-2/3))/z)/z*z))*(z/(z/(z*z/z**(-1))))**(5/14)/(z*z/z**(-3)*z*z**4) assuming z is positive. z**(-136/105) Simplify (o/o**0)**23/(o*o*o/(o*(o**(-1/2)/o)/o))**(6/23)*((o*o**(2/3)*o)/(o/o**0))/(o**0)**44 assuming o is positive. o**(1621/69) Simplify ((z**(-2)/z*z**(-2/17))/(z**8/z**(-2/7)))/((z**(-2/7)*z)**(-21))**(33/2) assuming z is positive. z**(56191/238) Simplify ((h**0*h)**28)**(-44)/(((h**1*h)/h)**45*(h**(-1/3))**(-1/5)) assuming h is positive. h**(-19156/15) Simplify ((u**(-11)/u*u**(-4/9)/u*u)/((u/u**(1/73))/(u**(-19)/u)))**(-1/4) assuming u is positive. u**(5491/657) Simplify (g**13)**(-2/45)*g**(-2/27)/g**(-2/3) assuming g is positive. g**(2/135) Simplify ((p**15/p)**(-20)*p**22*p/p**(-21))**(26/9) assuming p is positive. p**(-6136/9) Simplify (z**(-9)*z**(-1))**15*((z/z**(1/3))/(z*z**(2/17)))**(1/3) assuming z is positive. z**(-22973/153) Simplify (p**(-2/19)/(p**(-1/4)/p))/((p*p*p**(-2/3)/p)/(p/p**1*p*p))*(p**4/((p/(p*p**(-3/2)))/p))**(-46) assuming p is positive. p**(-36067/228) Simplify (((x**(1/9)*x)/x*x*x*x*x**(-12)*x)/(x**(1/7))**16)**(-6/25) assuming x is positive. x**(1282/525) Simplify (n*n**(-3/4)*n**(-4/5))**(-20)*((n**(2/3)*n*n*n)**(-4))**45 assuming n is positive. n**(-649) Simplify (y**(1/9)*y**13*y*(y**(2/41))**31)**(-3/17) assuming y is positive. y**(-5765/2091) Simplify ((r**(-5)/(r*r**6))/(r**(-3)/((r*r*r**2*r)/r)))/((r**0)**(-1/16)/((r/(r/(r/r**(1/9))*r))/r**(-7))) assuming r is positive. r**(17/9) Simplify (j**5*j*j/j**(-2/23)*j)/(j**(2/5))**(6/7)*(j**3*j*j**(-1/2)/j)/(j**(-2/3)*j/(j*j*j*(j/j**(2/7))/j*j)) assuming j is positive. j**(65809/4830) Simplify (o/(o*o/(o*o**(3/4)*o)*o)*o*o/((o**23*o)/o)*o*o*o*o/o**(-2/7)*o**24*o)**(4/11) assuming o is positive. o**(23/7) Simplify t**(1/2)*t*(t/t**(2/15))/t*(t**(3/7)/t)/t*t**4*(t**1/t)**(-4/15)*t**(-2/17)/(t*t/(t*t**(3/4)/t*t)*t) assuming t is positive. t**(17333/7140) Simplify ((t*t*t/t**24)/t)/(t/t**30)*(t*((t*t/t**(9/4))/t)/t)/t**(-41) assuming t is positive. t**(187/4) Simplify (x/((x**(2/21)*x)/x)*x**(3/13)*x)**(-1/6)*(x*x**(3/5))/(x**2/x)*x**(-2/17)/(x*x**(-4/5)*x) assuming x is positive. x**(-149473/139230) Simplify ((d/(d/(d/(d/d**(-2))))*d)/(d/d**6*d)*d*d/((d**6/d)/d)*d*d**(-3/8))/((d**0*d)**(-4/31)/((d/(d/d**1))/d**(-1/3))) assuming d is positive. d**(2297/744) Simplify (d/(((d/((d*d**(-3/5)*d)/d))/d)/d*d*d)*d**3*d)/(d**(-2/9)/d**(-2/13))*((d*d**6)/(d*d**3))/(d*d**(-2/5))**(3/2) assuming d is positive. d**(1537/234) Simplify (b**4/(((b*b**5)/b)/b))**10*((b/b**(-1))**(-2/11))**(-1) assuming b is positive. b**(4/11) Simplify (p**(9/5)*((p*p*p**(-1/16)*p*p)/p)/p*p*(p/(p**(-4)*p))/(p/(p/(p/p**4)*p)*p))**(-16/7) assuming p is positive. p**(-939/35) Simplify ((j*(j/(j/(j**(1/3)/j))*j)/j)/(j/(j*j/((j*j**(3/2))/j)*j*j)))**(7/2)*(j/j**(3/5)*j*j/((j**(2/19)*j)/j))/((j/j**(-4/7))/j**(-1)) assuming j is positive. j**(48997/7980) Simplify (r**(2/91)/r**(-17)*r**(-13)/r**10)**(-43) assuming r is positive. r**(23392/91) Simplify ((l/(l*l**(-1)))**(-3/4))**(-38)*((l/l**(-1))/l)/(l*l**(-1))*l/(l/(l*(l**(-5)/l)/l)*l)*l/(l**(-5)*l) assuming l is positive. l**(55/2) Simplify (c**(-3)/c*c*c*c**(4/9)*c**(5/3)*c**(-7))/((c**(2/7))**(-7/6)/(c**(-4)/(c*c*(c*c*c*c**(-7)*c)/c*c))) assuming c is positive. c**(-86/9) Simplify (q**(-8)/(q/(q/q**(-2/23)))*q**(3/11)*q/q**(-4))/((q*q**1*q)**(-7/4)*(q**(-2/17)/q)/(q**(2/7)*q)) assuming q is positive. q**(603711/120428) Simplify ((n**(-1)/n*n)**(8/9)*n/(n/n**1)*(n**(1/7)*n)/n)/(n**(3/5)*n/n**(2/21))**(3/10) assuming n is positive. n**(-311/1575) Simplify ((q**(1/2)*q**(-4))/(q**(3/7)*q*q/q**(-11)))**(2/21) assuming q is positive. q**(-79/49) Simplify ((w/(w*w**1))**(-2/87))**50/(w**(2/3)/w**5*(w**1/w)**(-14/9)) assuming w is positive. w**(159/29) Simplify ((r**(-2/5))**(2/3))**(4/5)*(r**(-1/3))**(-37)*r**5*r/((r*r*(r**(-5)*r*r)/r*r*r)/r) assuming r is positive. r**(478/25) Simplify ((z*z**2)**16)**(2/3)*(z/((z**(2/13)/z)/z))/(z**4*z)*(z**(-2/3))**(-33) assuming z is positive. z**(674/13) Simplify (d*d**(-1)*d**(3/4)*(d*d*((d*(d**(-4)/d)/d)/d)/d*d)**2)**(9/7) assuming d is positive. d**(-261/28) Simplify h**(-28/9)*h**(-4/11)*h/h**(2/51)*h/(h/(((h/(h**(-1/5)*h))/h)/h)) assuming h is positive. h**(-36302/8415) Simplify ((((y*(y*y**10)/y*y)/y**(-12))**(-2/97))**(-36))**26 assuming y is positive. y**(44928/97) Simplify ((v*v/v**(1/23))/v)/((v/((v*v**(-27))/v))/v)*(v**(-16))**(-3/2) assuming v is positive. v**(-47/23) Simplify ((r/(r/r**(-2/9)))/r**(-2))/(r**1/r)**17*((r**1)**10)**(-12/7) assuming r is positive. r**(-968/63) Simplify (y*(((y*y**(-22))/y)/y)/y*y*y**(-3)*y/(y/(y**(16/7)/y))*y/y**17)**48 assuming y is positive. y**(-13344/7) Simplify n**36*n*n**(8/5)*n**(-14)*(n*n*n**(-4/21))/n assuming n is positive. n**(2668/105) Simplify ((k/k**0*k)**(-1/2)*k**(1/5)/(k/(k*(k*k**(-10)*k)/k)*k))**(12/13) assuming k is positive. k**(-648/65) Simplify ((c/(c**(-1/3)/c))**(-12/11))**(-47)/(((c**(-7)/c)/c)/((c*c/(c**(9/4)*c))/c*c)*c**(-2/21)/(c/c**(-2))) assuming c is positive. c**(120565/924) Simplify (((q*q/(q*q/(q/((q/q**(-1/5))/q)))*q*q)/q*q**1)/((q/q**7)/((q/(q**8*q))/q)))/((q*q**(-2/5)*q*q)/(((q*q/q**(-11))/q)/q))**(-3) assuming q is positive. q**(-127/5) Simplify (w/(w/w**33))**(-8)*w/w**(-14)*w*w*w/(w/(w*w**(-8/3))) assuming w is positive. w**(-746/3) Simplify (t**(-2/5)/(t*t*t*t*(t**1*t*t)/t)*t*(t**5*t)/t*(t*t**4)/t)/(t**1/(t*t**8*t)*(t**0)**(12/11)) assuming t is positive. t**(63/5) Simplify ((m**
{ "pile_set_name": "DM Mathematics" }
g(x) = 2*x**2 + 9 + 10 - 33 + 4*x**3 + 5*x + 14. Let i(n) = 2*n**3 + n**2 + 2*n. Let y(r) = -2*r - 6. Let v be y(-4). Give v*g(k) - 5*i(k). -2*k**3 - k**2 Let w = -628 - -633. Let y(s) = 24*s**3 - 7*s**3 - 8*s**3 - 14*s**3 + w*s. Suppose 5*z - 6 = -2*a + z, 4*z - 5 = -a. Let v(j) = -j. Calculate a*y(k) + 5*v(k). -5*k**3 Let p(m) = -8*m**3 + 2*m**2 - 9. Let h(c) = 23*c**3 - 7*c**2 + 25. Determine -4*h(u) - 11*p(u). -4*u**3 + 6*u**2 - 1 Let i(y) be the second derivative of -13*y**3/6 + 2*y + 10. Let v(m) = 7*m. Let q = 5 + -2. Suppose z = -2*h + 9, -q*z = -3 - 6. Calculate h*i(t) + 5*v(t). -4*t Let f(b) = b**2 - 11485*b - 2*b**2 + 11485*b. Let m(u) = 11*u**2. Give -66*f(j) - 3*m(j). 33*j**2 Let q(l) = -34*l**2 - 20*l - 9. Let x(h) = -h**2 + 3*h + 1. What is -q(j) - 6*x(j)? 40*j**2 + 2*j + 3 Let c(t) = 4*t - 6*t - 4*t + 7*t + 3*t. Let g(b) = -4*b - 2 + 3 + 0 + 0. Calculate 3*c(p) + 2*g(p). 4*p + 2 Let t(o) = 2*o + 1. Let q(r) = r + 1. Suppose 0 = 56*y - 358 + 78. Give y*q(u) - 4*t(u). -3*u + 1 Let h(s) = 321*s - 189. Let k(t) = 113*t - 63. What is -6*h(i) + 17*k(i)? -5*i + 63 Let h(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let w be (4 - 3)*3 + 834 + -2. Let n(b) = 2*b**2 + 3*b**2 + b**2 - 5*b**2 + 834*b - w*b. Determine -h(c) - 2*n(c). -2*c**3 - 4*c**2 - 1 Suppose 0 = 33*o + 11*o - 57*o - 65. Let f(s) = 1. Let q(x) = -12*x - 6. Give o*f(b) - q(b). 12*b + 1 Let k be -1*(-14)/(-21)*18/(-4). Let n(g) = 9*g + 1 - 9*g + 208*g**k - 210*g**3. Let t(d) = -5*d**3 + 2. Determine -8*n(q) + 3*t(q). q**3 - 2 Let d(v) = v - 13. Let g = -4081 + 4076. Let m(a) = -a + 14. Calculate g*m(y) - 6*d(y). -y + 8 Let r(h) = -5*h**2 + 1. Let c(l) = -9022*l**2 + 1735. What is 3*c(i) - 5205*r(i)? -1041*i**2 Let a(m) = 5*m**3 + 9*m**2 - 13*m - 13. Suppose -3*t - 90 = -5*w - 69, -3*w + 2*t = -12. Let r(q) = q**3 + 2*q**2 - 3*q - 3. Calculate w*a(c) - 26*r(c). 4*c**3 + 2*c**2 Let s(j) = -66*j**3 - 8*j + 147*j**3 - 35*j**3 - 41*j**3. Let q(m) = 14*m**3 - 23*m. Calculate 6*q(g) - 17*s(g). -g**3 - 2*g Let k(h) = 146*h + 318. Let i(m) = 49*m + 98. What is 7*i(g) - 2*k(g)? 51*g + 50 Let o(h) = -h - 5. Let s(d) = 10*d + 444. Let z(t) = t + 39. Let r(x) = -2*s(x) + 23*z(x). Calculate -5*o(j) - 3*r(j). -4*j - 2 Let o(l) be the third derivative of l**4/24 + l**3/6 - 198*l**2. Suppose -5*b = 62 + 58. Let s(v) = 10*v + 8. Determine b*o(y) + 3*s(y). 6*y Let a(o) be the second derivative of -2*o**3/3 - 2*o**2 - 64*o - 5. Let c(x) = -8*x - 7. What is -5*a(r) + 2*c(r)? 4*r + 6 Let r = 84969 + -84971. Let v(u) = -7*u**2 + 2*u. Let k(f) = f**2 - f. Let c(g) = -3*g**2 - 1. Let i be c(-1). Calculate i*k(o) + r*v(o). 10*o**2 Let m = 15 - 22. Let z(p) = 3866*p**2 - 24*p + 3 + 4 + 0*p**3 - 19*p + 54*p - 3863*p**2 + 5*p**3. Let g(c) = 3*c**3 + 2*c**2 + 6*c + 4. Give m*g(u) + 4*z(u). -u**3 - 2*u**2 + 2*u Let u(m) be the second derivative of -5/6*m**3 + 5*m**2 + 7*m + 4. Suppose -2*o + 4 = 3*n - 1, -4*n + 30 = 5*o. Let f(j) = 1. Give o*f(b) - u(b). 5*b Let c(u) be the first derivative of 1292*u**3/3 + 153*u - 8758. Let y(w) = 17*w**2 + 2. What is -2*c(x) + 153*y(x)? 17*x**2 Let o(s) = s. Suppose -4*j = 2*p - 8*j - 12, 2*p - 3*j - 7 = 0. Let q(w) = 2*w. Calculate p*q(z) + 4*o(z). -4*z Suppose 651 = -47*d + 698. Let q(k) = -3*k - 15. Let m(n) = -3. Let j(p) = -1. Let l(f) = -5*j(f) + 2*m(f). Determine d*q(x) - 15*l(x). -3*x Let f(n) = -70*n**2 - 5*n - 5. Let r(b) = 35*b**2 + 2*b + 2. Suppose -5*m = 15, -3*u + 25 = -m + 7. Calculate u*r(q) + 2*f(q). 35*q**2 Let w(i) be the third derivative of i**5/60 + i**4/24 + 3242*i**2. Let r(x) = -11*x**2 - 9*x. Calculate 3*r(k) + 24*w(k). -9*k**2 - 3*k Let x(y) = -5*y**2 + y + 2. Let u(r) = 9*r**2 - 2*r - 4. Suppose -46*b = -41*b - 45. Let j be (2/(-3))/(665/(-75) + b). What is j*x(w) - 3*u(w)? -2*w**2 + w + 2 Let q(g) = 9*g**3 + 5*g - 8. Let r(f) = -f**3 - f + 1. Suppose 0 = -2*s + 49 - 61. Give s*r(y) - q(y). -3*y**3 + y + 2 Let d(s) = -46*s + 39*s - 3 - s. Let y(q) = -7*q - 3. Suppose 3*b = -4*z + 31, -2*z = -b - 0*z - 3. Give b*d(u) - 6*y(u). 2*u + 3 Let q(x) = 100*x - 8. Let r(m) = -199*m + 18. What is 13*q(t) + 6*r(t)? 106*t + 4 Let o = -1618 - -1622. Let b(f) be the second derivative of 0 + 1/2*f**2 - 1/10*f**5 + 0*f**3 + 2*f + 0*f**o. Let q(c) = c**3 + c - 1. Determine -b(l) - 3*q(l). -l**3 - 3*l + 2 Let w(c) = 14*c**3 + c**2 + 128. Let i(k) = 40*k**3 + 3*k**2 + 384. Determine -3*i(d) + 8*w(d). -8*d**3 - d**2 - 128 Let x(i) = 4*i + 1. Let g be x(-3). Let a(r) = 5*r. Let w(n) be the second derivative of n**4/12 - 13*n**3/3 - n**2/2 + 122*n. Determine g*a(t) - 2*w(t). -2*t**2 - 3*t + 2 Let c(z) = -31*z**2 + 11*z. Suppose 11*p - 3*p = 144. Let w = -10 - p. Let t be 4*2/w*-7. Let k(r) = 6*r**2 - 2*r. What is t*c(v) + 11*k(v)? 4*v**2 Let m(d) = 19*d**2 - 18. Let z(s) = 5*s**2 - 6. Give 6*m(h) - 22*z(h). 4*h**2 + 24 Let r(a) = 3520*a + 36. Let o(n) = -53644801*n - 548652. What is 3*o(x) + 45721*r(x)? 3517*x Let b = -6 + 3. Let h(r) be the first derivative of -2*r**2 + 10*r + 188048. Let k(c) = 2*c - 5. Determine b*h(v) - 7*k(v). -2*v + 5 Let v(q) = -34*q**2 + 9*q. Let f(k) = k**3 - 33*k**2 + 10*k. What is -9*f(c) + 10*v(c)? -9*c**3 - 43*c**2 Let l(n) = 11*n - 6. Let i(x) be the first derivative of x**2/2 - x - 1154. Suppose 2*w - 3 = -5*y, -1 = -2*w - 0*y - 3*y. Calculate w*l(f) + 6*i(f). -5*f Let n(t) = -23*t + 50. Let s(y) = -40*y + 99. Give -7*n(a) + 4*s(a). a + 46 Let h(q) = 15029*q + 6232. Let s(b) = 365*b + 152. Give 6*h(f) - 247*s(f). 19*f - 152 Let l(d) = 1. Suppose -8 - 7 = 5*u, u + 5 = -j. Let i(y) = 2*y**2 - 7. What is j*l(f) + i(f)? 2*f**2 - 9 Let f(b) = 26*b - 4. Let m(c) = 209*c - 33. Let d(o) = o**2 + 14*o - 84. Let u be d(-17). Give u*f(i) + 4*m(i). -22*i Let q(n) = -68*n**3 + 17*n - 11. Let c be 102/136 - (-130)/8. Let m(y) = -23*y**3 + 6*y - 4. Give c*m(g) - 6*q(g). 17*g**3 - 2 Let r(m) = 2*m. Suppose 2*b = -2*j, 4*b - j + 5 = -0. Let q be 1/(b - 0)*-2. Let i(o) = 15*o - 1. Calculate q*i(w) - 14*r(w). 2*w - 2 Let z(l) be the first derivative of l**3/3 + l**2/2 - l + 6249. Let m(w) = -4*w**2 - 6*w + 4. Determine m(k) + 2*z(k). -2*k**2 - 4*k + 2 Let r(a) = -3*a**3 + 1. Let z be (-1436)/(-18) + 14/63. Let n(y) = 3*y**3 - 82 + z + 2*y**3 - 3*y**3. Calculate -4*n(m) - 3*r(m). m**3 + 5 Let k(f) = 4*f**2 - f - 2. Let c(z) = 5*z**2 - 2*z - 2. Suppose 6*l + l + 144 = -41*l. What is l*c(w) + 4*k(w)? w**2 + 2*w - 2 Let y(j) be the third derivative of j**6/20 - 3*j**4/8 - 7*j**3/6 - 22*j**2. Let x(u) = -3*u**3 + 0*u**3 - 128 + 4*u + 131. Calculate 9*x(o) + 4*y(o). -3*o**3 - 1 Let q(j) = 4*j**3 - 594141 + 594148 - j**2 + 0*j**2. Let n(s) = -1. Determine -5*n(u) - q(u). -4*u**3 + u**2 - 2 Let h(y) = 144*y + 2653. Let b(t) = 239*t + 5306. Calculate -3*b(p) + 5*h(p). 3*p - 2653 Let r(v) = -69*v - 6. Let y(k) = 23*k + 2. Let x(t) = t**3 - 46*t**2 + 83*t + 213. Let n be x(44). Determine n*y(l) - 2*r(l). -23*l - 2 Let t(i) = 3*i**2 - 4. Let z(g) = -6*g**2 - g + 11. Give -7*t(s) - 3*z(s). -3*s**2 + 3*s - 5 Let l(y) = -50*y**2 + 8*y - 3. Let v(b) = -52*b**2 + 10*b - 2. Determine -4*l(s) + 3*v(s). 44*s**2 - 2*s + 6 Let p(i) = 3*i**2 + 2*i + 1. Let b(d) = -10*d**2 - 5*d - 3. Let l be (-5)/(-3)*3*2/(-65)*-13. Determine l*b(j) + 7*p(j). j**2 + 4*j + 1 Let n(b) be the first derivative of 9*b**4/4 + 13*b**3/3 - 5*b**2/2 - 5*b - 1506. Let v(m) = -4*m**3 - 6*m**2 + 2*m + 2. Give -4*n(z) - 10*v(z). 4*z**3 + 8*z**2 Let w(v) = -15*v. Let b(o) = 22*o. Let j(z) = 5*b(z) + 7*w(z). Let r(q) be the second derivative of 0*q**2 + 3*q + 0 - 3/2*q**3. Determine 7*j(l) + 4*r(l). -l Let w(h) = 5*h**3 + 2*h**2 + h - 1. Let u(b) = 19*b**3 + 12*b**2 + 2*b + 27. What is u(v) - 4*w(v)? -v**3 + 4*v**2 - 2*v + 31 Let h(c) = -15*c**2 - 7. Let b(z) = 5*z**2 + 2. Let q = -18 - -12. Let g(o) = 15*o + 17. Let a be g(-2). Let y = a - q. What is y*b(n) - 2*h(n)? -5*n**2 Let g(o) = o**3 + 135*o**2 - 18*o - 7. Let v(r) = 2*r + 1. Calculate g(f) + 9*v(f). f**3 + 135*f**2 + 2 Let v(r) = 166*r**3 - 2*r**2 - 16*r - 16. Let m(d) = -111*d**3 + 3*d**2 + 10*d + 10. What is 8*m(c) + 5*v(c)? -58*c**3 + 14*c**2 Let d(k) = 17*k - 12. Let s(a) = -48*a + 38. Determine 16*d(l) + 5*s(l). 32*l - 2 Let m(o) = 3413*o - 12. Let c(s) = -1703*s + 7. What is -7*c(d) - 4*m(d)? -1731*d - 1 Let m(x) = -3*x + 2. Let a(c) be the third d
{ "pile_set_name": "DM Mathematics" }
r**2/2 + 1. Let l(m) = -2*m**2 - 2*m**2 - 6*m**2 + 6*m**2. What is l(j(f))? -4*f**2 Let q(b) = b. Let h(j) = 606951*j. Determine q(h(o)). 606951*o Let u(b) = 444*b**2 - 11*b - 1. Let o(n) = -12*n. Calculate u(o(w)). 63936*w**2 + 132*w - 1 Let w(b) = -5*b**2 + 10 - 10. Let h(i) = 2*i - 4. Let j(u) be the first derivative of 5*u**2/2 - 11*u - 1. Let x(n) = -11*h(n) + 4*j(n). Determine w(x(m)). -20*m**2 Suppose 0 = 2*l - 4*q - 30, 3*l + q - 15 = -l. Let a = l - 3. Let t(u) = 0 + 2*u + a - 2. Let x(j) = -4*j**2. What is x(t(n))? -16*n**2 Let t(b) = -2*b**2 + 133*b. Let y(n) = 686*n. What is y(t(f))? -1372*f**2 + 91238*f Let m(v) = -66*v + 257. Let h(z) = z**2. What is m(h(p))? -66*p**2 + 257 Let h(q) = -4*q. Let w = -53 + 55. Let b(g) = 7*g - 6*g - w*g. What is b(h(n))? 4*n Let n(a) = 63*a. Let x(r) = -394*r**2 + 5*r + 4. Give n(x(z)). -24822*z**2 + 315*z + 252 Let o(t) = -3*t**2. Let q(h) be the third derivative of -h**4/24 - 21*h**3/2 - 12*h**2 - 7*h. Determine q(o(v)). 3*v**2 - 63 Let f(v) = 92531*v**2. Let b(m) = 7*m**2. Give f(b(o)). 4534019*o**4 Let j be 40/12 + 3/(-9). Suppose o + 298 = j*o. Let f(h) = 150*h + 0 - o*h + 0. Let v(z) = 2*z**2. Calculate v(f(p)). 2*p**2 Let g(c) be the second derivative of -8*c**4/3 - 7*c. Let x(z) = 1 + 1 - 2 - 2*z. Determine g(x(a)). -128*a**2 Let r(n) be the second derivative of n**3/3 + 9*n. Let t(m) be the second derivative of 10*m**3/3 - 7*m. Determine r(t(j)). 40*j Let h = -84 - -121. Let r(w) = h*w - 37*w - w**2. Let k(x) be the second derivative of x**4/12 - 5*x. Determine k(r(q)). q**4 Suppose c - 2*y + 2 = 2*y, 4*c - 5 = 3*y. Let p be -3*(4/12 - c). Let d(q) = -p*q + q - q. Let b(v) = 3*v**2. Determine d(b(i)). -15*i**2 Let c(i) = 164*i - 164*i - 3*i**2. Let l(q) = -12*q**2 + 20*q - 20*q. Determine c(l(o)). -432*o**4 Let x(h) = -h**3 + 15*h + 30. Let j(d) = d - 1. Let w(l) = 4*j(l) + x(l). Let b(i) be the first derivative of w(i). Let z(a) = 2*a. What is z(b(k))? -6*k**2 + 38 Let t(g) = -699*g. Let u(y) = 204*y. Give u(t(z)). -142596*z Let d(b) = b - 68. Let i(k) = -115*k**2 - 2. Give i(d(r)). -115*r**2 + 15640*r - 531762 Let l(x) = -36*x + 30. Let w(n) = -5*n + 4. Let k(f) = -2*l(f) + 15*w(f). Let s(c) = 48*c**2 + c. Calculate s(k(m)). 432*m**2 - 3*m Let z(o) = -o**2 + 5*o + 5. Let k(c) = -c**2 + 6*c + 6. Let v(b) = -5*k(b) + 6*z(b). Let h(t) = t**2 + t**2 - t**2 + 2*t**2. Calculate h(v(n)). 3*n**4 Let s(m) be the first derivative of -2*m**3/3 + 1. Let q(k) be the second derivative of -k**3/3 - 25*k**2/2 + 767*k. Give q(s(z)). 4*z**2 - 25 Let c(f) be the second derivative of 13*f**3/6 - f**2/2 - 66*f. Let t(z) = 2*z. Give t(c(a)). 26*a - 2 Let o(z) = -z**2. Let w(x) = x**2 - 132632. Calculate w(o(t)). t**4 - 132632 Let p(g) = g**2 + g. Let f(o) = 3*o. Let n(x) = -f(x) + 3*p(x). Suppose -3*v - 6 = 0, -3*i - 3*v - 2 = -14. Let s(a) = a + 0*a - i*a. What is n(s(h))? 75*h**2 Let n(u) be the second derivative of -2*u**3/3 + 2*u - 24. Let q(s) = -s**2. Give n(q(r)). 4*r**2 Let h(p) = -14*p**2. Let k(q) = -5926*q. What is h(k(r))? -491644664*r**2 Let h(j) = -7*j + 5925 - 5925. Let i(l) = 21*l - 18. Let w(z) = 6*z - 5. Let q(x) = -5*i(x) + 18*w(x). Determine q(h(d)). -21*d Let n(q) = -4*q**2 - 2 + 2. Let d(j) = 14 - 17 + 3 + 12*j. What is d(n(p))? -48*p**2 Let w(c) = 5*c. Let z(m) = m. Let x(b) = w(b) - 10*z(b). Let v(o) = 34*o**2. Give x(v(p)). -170*p**2 Let m(n) = -2*n**2. Suppose -30*z + 24*z + 48 = 0. Let u(s) = -s**2 + 8*s - 8. Let f(r) = -r**2 + 5*r - 5. Let c(a) = z*f(a) - 5*u(a). What is c(m(p))? -12*p**4 Let x(d) = -4*d - 3*d + 2*d + 2*d. Let m(j) be the first derivative of -j**4/6 - 4*j - 2. Let k(b) be the first derivative of m(b). What is x(k(o))? 6*o**2 Let j(t) be the first derivative of -4*t**3/3 - 355. Let x(c) = -20*c**2. What is x(j(w))? -320*w**4 Let n(a) = -a. Let z(s) = 21*s**2 + 4*s. Let k(b) = -59*b**2 - 30*b**2 - 62*b + 17*b - 141*b**2. Let q(x) = -4*k(x) - 45*z(x). Determine q(n(f)). -25*f**2 Let w(k) be the second derivative of 1/8*k**4 + k**2 + 0 + 5*k + 0*k**3. Let y(h) be the first derivative of w(h). Let i(c) = 2*c**2. What is i(y(u))? 18*u**2 Let b(p) = -40842*p**2. Let s(n) = 18*n. Give s(b(a)). -735156*a**2 Let h(m) = 2*m**2 - 4. Let f(x) = -6*x**2 + 14. Let u(k) = 2*f(k) + 7*h(k). Let g(b) = -465*b**2. Calculate g(u(w)). -1860*w**4 Let r(m) = -285*m**2. Let i(p) = 1471*p**2. Calculate i(r(q)). 119481975*q**4 Let w(i) = 58*i**2 - i - 1. Let z be w(-1). Let h(k) = 58 - z - k. Let y(n) = -3*n. Determine h(y(t)). 3*t Let z(l) = 5*l. Let w(g) be the first derivative of -g**6/360 + 2*g**3/3 - 14. Let f(m) be the third derivative of w(m). What is f(z(v))? -25*v**2 Let c(d) = 2*d - 4. Let x(v) = -18*v + 8. Let r(b) = -2*c(b) - x(b). Let h(s) = 2*s**2. Calculate r(h(g)). 28*g**2 Let m(t) = -2*t. Let g(u) = 25*u. Let h(b) = -g(b) - 10*m(b). Let l(j) = 2*j. Let n(r) = 10*r. Let a(s) = 11*l(s) - 2*n(s). Calculate h(a(y)). -10*y Let w(t) = 7*t - t - 7*t - 3*t. Let m = -2 - -4. Let z(q) = -3 + 4*q**m + 3. Calculate z(w(f)). 64*f**2 Let a(v) = v - 2*v + 19*v. Let i(t) = -5*t + 3. Let m(d) = 24*d - 14. Let j(s) = -14*i(s) - 3*m(s). What is a(j(g))? -36*g Let x(z) = 345*z - 213*z - 343*z. Let m(c) = 5*c. Calculate m(x(n)). -1055*n Let i(x) = x. Let t(h) = 34*h**2 + 177*h - 28*h**2 - 177*h - 4. Determine i(t(s)). 6*s**2 - 4 Let x(a) = -2*a. Let w(s) = -10*s**2 - 34*s + 2 + 34*s - s**2. What is w(x(z))? -44*z**2 + 2 Let c(q) = -2*q**2. Let x(z) be the first derivative of 7*z**2 - 2*z - 85. Determine c(x(d)). -392*d**2 + 112*d - 8 Let i(r) be the first derivative of 10 - 3*r**3 - 11 + r**3. Let m(t) = 2*t**2 + 6*t - 6*t. Give i(m(n)). -24*n**4 Let k(p) be the first derivative of -3*p**3 - 18. Let i(b) = b**2. What is k(i(j))? -9*j**4 Let a(u) = 9*u**2 + 14*u + 14. Let t(p) = -4*p**2 - 6*p - 6. Let z(q) = 3*a(q) + 7*t(q). Let k(y) = 2*y**2 + 26*y. Give z(k(f)). -4*f**4 - 104*f**3 - 676*f**2 Let n(q) = -7*q + 11. Let t(d) = 4*d - 6. Let s(r) = 6*n(r) + 11*t(r). Suppose 14 = 7*y - 0*y. Let p(v) = -v**y + 2*v**2 - 10*v**2. Give s(p(x)). -18*x**2 Let d(z) = -6*z. Let w = 41 - 39. Let a(x) = 21*x**2 - 56*x**w + 18*x**2 + 14*x**2. Give d(a(v)). 18*v**2 Let s(k) = -10*k**2. Let c(g) be the third derivative of -1/24*g**4 + 0 + 0*g + 0*g**3 + 9*g**2. What is s(c(v))? -10*v**2 Let u(x) = -x + 11. Let h(v) be the first derivative of -v**3 + 7. Give u(h(k)). 3*k**2 + 11 Let b(c) = -2*c - 27 - 34 - 28 + 89. Let z(o) = 7*o**2 + 14*o. Calculate z(b(w)). 28*w**2 - 28*w Let n(o) be the third derivative of 5*o**4/24 - 3*o**2 + 23*o. Let y = 5 - 3. Let g(k) = -2*k**2 - k**2 + 2*k**y. Calculate g(n(f)). -25*f**2 Let h(u) = -96*u**2 + 340*u - 2. Let a(x) = -2*x. Determine h(a(q)). -384*q**2 - 680*q - 2 Let y(r) be the first derivative of -2*r**3 + 3. Let c(z) be the first derivative of -z**2/2 - 92. Give y(c(h)). -6*h**2 Let j(u) = 199*u + 178*u - 377*u - u**2. Let n(o) = 208*o. Determine j(n(w)). -43264*w**2 Let g(i) = 1433*i**2 - 717*i**2 - 718*i**2. Let m(r) = -70*r**2 - 16. Let x(f) = -14*f**2 - 3. Let u(o) = 3*m(o) - 16*x(o). Give u(g(n)). 56*n**4 Let v(k) = -2*k**2. Suppose 5*c - 26 = 4. Suppose 4*q - c = q. Let t(n) = n**q + n**2 - 6*n**2 + 2*n**2. Give t(v(m)). -8*m**4 Let f(g) be the second derivative of g**3/6 - g + 69. Let b(s) = 317*s. Give f(b(l)). 317*l Let w = -75 + 81. Let d(t) = -11*t**2 + 16*t**2 - w*t**2. Let h(s) be the third derivative of s**5/12 - s**2. Determine d(h(i)). -25*i**4 Let b(m) = 2*m**2. Let f(a) = a - 13. Let z be f(15). Let g(v) = -35 + 5*v**z + 4*v**2 + 35. Calculate b(g(t)). 162*t**4 Let h be (0 + -1 - 0)*(2 - -1). Let j(p) = 3. Let f(o) = -o - 1. Let g(v) = h*f(v) - j(v). Let a(w) = -4*w + 0*w + 0*w. Determine g(a(c)). -12*c Let u(v) = 3*v. Let h(t) be the second derivative of 37*t**4/12 - 10*t - 19. Give u(h(o)). 111*o**2 Let l(m) = 5*m - 3*m - 2*m**2 + 3 + m. Let g(a) = 3*a**2 - 5*a - 5. Let y(d) = 3*g(d) + 5*l(d). Let h(v) = -15*v**2. What is h(y(b))? -15*b**4 Let r(z) = -319032*z**2. Let a(v) = 7*v**2. Calculate a(r(b)). 712469919168*b**4 Let o(u) = 13*u. Let w(r) = -16*r. Let i(d) = 5*o(d) + 4*w(d). Let a(h) = -2*h - 5. Determine a(i(n)). -2*n - 5 Let c(p) = 2*p. Let r(k) = -25*k + 6. Let w(a) = 25*a - 5. Let g(x) = 5*r(x) + 6*w(x). Give c(g(m)). 50*m Let y(v) = -9
{ "pile_set_name": "DM Mathematics" }
th term of -3969, -3862, -3755, -3648? 107*l - 4076 What is the m'th term of -58, -468, -1560, -3670, -7134, -12288, -19468? -56*m**3 - 5*m**2 - 3*m + 6 What is the y'th term of 65, 96, 85, 32, -63, -200? -21*y**2 + 94*y - 8 What is the b'th term of 34939, 34960, 34971, 34966, 34939, 34884? -b**3 + b**2 + 25*b + 34914 What is the d'th term of -298, -606, -920, -1240, -1566, -1898? -3*d**2 - 299*d + 4 What is the z'th term of -3795, -3757, -3719, -3681, -3643? 38*z - 3833 What is the g'th term of 319501, 319503, 319505, 319507? 2*g + 319499 What is the k'th term of 844, 1686, 2528, 3370, 4212, 5054? 842*k + 2 What is the g'th term of -240, -302, -396, -528, -704, -930, -1212? -g**3 - 10*g**2 - 25*g - 204 What is the u'th term of 52620, 105251, 157882, 210513, 263144? 52631*u - 11 What is the g'th term of 627, 1674, 3419, 5862? 349*g**2 + 278 What is the k'th term of 3962, 3993, 4062, 4187, 4386? 3*k**3 + k**2 + 7*k + 3951 What is the z'th term of -6946, -27787, -62538, -111211, -173818, -250371, -340882, -445363? -2*z**3 - 6943*z**2 + 2*z - 3 What is the f'th term of -47, -196, -461, -854, -1387, -2072? -2*f**3 - 46*f**2 + 3*f - 2 What is the n'th term of -1285, -2593, -3949, -5377, -6901, -8545, -10333, -12289? -4*n**3 - 1280*n - 1 What is the a'th term of 1210, 2544, 3878, 5212, 6546? 1334*a - 124 What is the n'th term of -173, -1550, -5293, -12584, -24605, -42538, -67565, -100868? -197*n**3 - n**2 + 5*n + 20 What is the f'th term of -3665, -14670, -33011, -58688? -3668*f**2 - f + 4 What is the t'th term of 130039, 260076, 390113, 520150, 650187, 780224? 130037*t + 2 What is the l'th term of 1121, 4385, 9809, 17381, 27089? -2*l**3 + 1092*l**2 + 2*l + 29 What is the o'th term of -2124, -2129, -2120, -2091, -2036, -1949, -1824, -1655? o**3 + o**2 - 15*o - 2111 What is the u'th term of -423, -705, -969, -1209, -1419, -1593, -1725, -1809? u**3 + 3*u**2 - 298*u - 129 What is the n'th term of 1219, 1177, 1135, 1099, 1075, 1069? n**3 - 6*n**2 - 31*n + 1255 What is the i'th term of 168, 486, 1046, 1848, 2892, 4178? 121*i**2 - 45*i + 92 What is the t'th term of 27618, 55237, 82856? 27619*t - 1 What is the q'th term of -47, 202, 613, 1186, 1921? 81*q**2 + 6*q - 134 What is the l'th term of 3153, 3155, 3157, 3159, 3161, 3163? 2*l + 3151 What is the n'th term of 12, 37, 62? 25*n - 13 What is the l'th term of -671, -1325, -1979, -2633, -3287, -3941? -654*l - 17 What is the s'th term of 96, 382, 858, 1530, 2404, 3486, 4782? s**3 + 89*s**2 + 12*s - 6 What is the v'th term of 12062, 24128, 36194, 48260, 60326? 12066*v - 4 What is the u'th term of -37652, -37756, -37860, -37964? -104*u - 37548 What is the m'th term of 47301, 94600, 141901, 189204, 236509? m**2 + 47296*m + 4 What is the p'th term of -1316, -1317, -1318, -1313, -1296, -1261, -1202, -1113? p**3 - 6*p**2 + 10*p - 1321 What is the s'th term of -976, -3170, -7800, -16084, -29240, -48486, -75040? -203*s**3 - 773*s What is the v'th term of -55, -167, -377, -733, -1283, -2075, -3157, -4577? -8*v**3 - v**2 - 53*v + 7 What is the l'th term of -2231, -2216, -2197, -2174? 2*l**2 + 9*l - 2242 What is the m'th term of 555, 6434, 16225, 29922, 47519, 69010, 94389, 123650? -m**3 + 1962*m**2 - 1406 What is the p'th term of -62280, -62279, -62278, -62277, -62276, -62275? p - 62281 What is the s'th term of -233784, -467566, -701350, -935136, -1168924, -1402714? -s**2 - 233779*s - 4 What is the p'th term of 289435, 289437, 289441, 289447, 289455, 289465, 289477? p**2 - p + 289435 What is the z'th term of -4991, -10196, -15401? -5205*z + 214 What is the m'th term of 49904, 49864, 49836, 49826, 49840? m**3 - 47*m + 49950 What is the s'th term of 66, 174, 296, 396, 438, 386? -6*s**3 + 43*s**2 + 21*s + 8 What is the c'th term of -341373, -341377, -341381, -341385, -341389? -4*c - 341369 What is the b'th term of 2217, 4257, 6297, 8337, 10377, 12417? 2040*b + 177 What is the o'th term of 860, 1824, 2774, 3716, 4656, 5600? o**3 - 13*o**2 + 996*o - 124 What is the j'th term of -1080, -1157, -1280, -1449, -1664, -1925, -2232? -23*j**2 - 8*j - 1049 What is the a'th term of -103, -298, -595, -988, -1471, -2038, -2683, -3400? a**3 - 57*a**2 - 31*a - 16 What is the y'th term of -159, -201, -241, -279, -315? y**2 - 45*y - 115 What is the a'th term of 19080, 76328, 171758, 305376, 477188, 687200, 935418? a**3 + 19085*a**2 - 14*a + 8 What is the j'th term of -155, -1242, -4193, -9938, -19407, -33530, -53237, -79458? -155*j**3 - 2*j**2 + 4*j - 2 What is the u'th term of -7808, -7809, -7810, -7811? -u - 7807 What is the s'th term of 151, 307, 465, 625, 787? s**2 + 153*s - 3 What is the d'th term of 624319, 1248631, 1872939, 2497243, 3121543, 3745839, 4370131? -2*d**2 + 624318*d + 3 What is the b'th term of 1251, 5005, 11273, 20061, 31375, 45221, 61605, 80533? b**3 + 1251*b**2 - 6*b + 5 What is the g'th term of 140, 284, 522, 854? 47*g**2 + 3*g + 90 What is the d'th term of 116, 1337, 4646, 11087, 21704, 37541, 59642, 89051? 174*d**3 + 3*d - 61 What is the g'th term of -780, -1381, -1982? -601*g - 179 What is the i'th term of -2717, -2801, -2889, -2981, -3077? -2*i**2 - 78*i - 2637 What is the x'th term of 3804, 3814, 3836, 3876, 3940, 4034, 4164, 4336? x**3 + 3*x + 3800 What is the h'th term of 148, 1223, 4146, 9841, 19232, 33243? 154*h**3 - 3*h - 3 What is the b'th term of -18878, -18910, -18942, -18974? -32*b - 18846 What is the w'th term of 140066, 140064, 140062, 140060, 140058, 140056? -2*w + 140068 What is the c'th term of 33687, 33687, 33693, 33705? 3*c**2 - 9*c + 33693 What is the s'th term of 3502, 1874, -838, -4634, -9514, -15478, -22526? -542*s**2 - 2*s + 4046 What is the m'th term of -15368, -15092, -14830, -14588, -14372, -14188? -m**3 - m**2 + 286*m - 15652 What is the n'th term of 49, 210, 493, 910, 1473, 2194, 3085? 2*n**3 + 49*n**2 - 2 What is the p'th term of 646617, 646618, 646619, 646620, 646621, 646622? p + 646616 What is the p'th term of 451, 458, 509, 604, 743, 926? 22*p**2 - 59*p + 488 What is the s'th term of -7104, -7106, -7106, -7104, -7100? s**2 - 5*s - 7100 What is the s'th term of -390, -485, -658, -921, -1286, -1765, -2370? -2*s**3 - 27*s**2 - 361 What is the v'th term of 18135, 18146, 18155, 18162, 18167, 18170? -v**2 + 14*v + 18122 What is the h'th term of 2873, 5914, 8955, 11996? 3041*h - 168 What is the v'th term of -1562, -3146, -4730, -6314? -1584*v + 22 What is the v'th term of -51866, -207498, -466876, -829994, -1296846? v**3 - 51879*v**2 - 2*v + 14 What is the x'th term of 57, 228, 509, 900, 1401, 2012, 2733? 55*x**2 + 6*x - 4 What is the h'th term of 538, 3359, 10714, 24871, 48098, 82663, 130834? 378*h**3 - h**2 + 178*h - 17 What is the g'th term of 356, 346, 332, 314, 292, 266, 236? -2*g**2 - 4*g + 362 What is the s'th term of -8577, -17189, -25801, -34413, -43025? -8612*s + 35 What is the l'th term of -11897, -23857, -35817? -11960*l + 63 What is the f'th term of -9377, -19035, -28977, -39203? -142*f**2 - 9232*f - 3 What is the r'th term of 657, 682, 713, 744, 769, 782? -r**3 + 9*r**2 + 5*r + 644 What is the o'th term of 2379, 4731, 7059, 9357, 11619, 13839, 16011? -o**3 - 6*o**2 + 2377*o + 9 What is the i'th term of -289, -599, -957, -1387, -1913? -4*i**3 - 282*i - 3 What is the j'th term of -846, -1030, -1214, -1398, -1582? -184*j - 662 What is the p'th term of -23, -151, -379, -719, -1183, -1783, -2531? -2*p**3 - 38*p**2 + 17 What is the j'th term of -236, -198, -158, -116, -72? j**2 + 35*j - 272 What is the t'th term of -46837, -93675, -140517, -187363, -234213, -281067, -327925? -2*t**2 - 46832*t - 3 What is the x'th term of 7121, 14265, 21419, 28589, 35781, 43001? x**3 - x**2 + 7140*x - 19 What is the r'th term of 1453, 1591, 1713, 1813, 1885? -r**3 - 2*r**2 + 151*r + 1305 What is the b'th term of 176, 290, 404, 518, 632? 114*b + 62 What is the a'th term of -2197, -2202, -2209, -2218, -2229, -2242, -2257? -a**2 - 2*a - 2194 What is the m'th term of 414, 757, 1114, 1491, 1894, 2329, 2802? m**3 + m**2 + 333*m + 79 What is the n'th term of 112, 103, 92, 79? -n**2 - 6*n + 119 What is the p'th term of -301, -1274, -2907, -5212, -8201, -11886, -16279? -2*p**3 - 318*p**2 - 5*p + 24 What is the g'th term of -3460, -3568, -3676, -3784? -108*g - 3352 What is the o'th term of -6, -39, -96
{ "pile_set_name": "DM Mathematics" }
at are the prime factors of 719460? 2, 3, 5, 7, 571 List the prime factors of 366429. 3, 7, 17449 List the prime factors of 689964. 2, 3, 11, 5227 List the prime factors of 31575983. 29, 1088827 List the prime factors of 216464. 2, 83, 163 List the prime factors of 2811138. 2, 3, 11, 191, 223 List the prime factors of 270229. 270229 List the prime factors of 1703637. 3, 13, 14561 List the prime factors of 6652776. 2, 3, 13, 21323 List the prime factors of 390023. 79, 4937 What are the prime factors of 10428049? 10428049 List the prime factors of 16255764. 2, 3, 7, 251, 257 What are the prime factors of 12599796? 2, 3, 11, 53, 1801 List the prime factors of 139175. 5, 19, 293 What are the prime factors of 2027065? 5, 405413 List the prime factors of 4500888. 2, 3, 7, 73, 367 What are the prime factors of 308349? 3, 34261 What are the prime factors of 19448243? 19448243 List the prime factors of 12994753. 2311, 5623 List the prime factors of 4014362. 2, 11, 182471 What are the prime factors of 213215? 5, 42643 What are the prime factors of 921855? 3, 5, 11, 37, 151 List the prime factors of 174556. 2, 17, 151 What are the prime factors of 4218405? 3, 5, 281227 What are the prime factors of 677565? 3, 5, 7, 239 List the prime factors of 1904319. 3, 457, 463 List the prime factors of 2860889. 311, 9199 List the prime factors of 574369. 41, 14009 List the prime factors of 409022. 2, 204511 What are the prime factors of 901035? 3, 5, 20023 What are the prime factors of 13330995? 3, 5, 653, 1361 List the prime factors of 11443592. 2, 41, 139, 251 What are the prime factors of 638616? 2, 3, 11, 41, 59 What are the prime factors of 7276265? 5, 1455253 What are the prime factors of 2611084? 2, 7, 93253 List the prime factors of 1702962. 2, 3, 37, 2557 List the prime factors of 7307700. 2, 3, 5, 24359 What are the prime factors of 1729388? 2, 83, 5209 List the prime factors of 1518920. 2, 5, 13, 23, 127 What are the prime factors of 1228334? 2, 614167 List the prime factors of 377423. 59, 6397 List the prime factors of 670390. 2, 5, 7, 61, 157 What are the prime factors of 633921? 3, 37, 5711 What are the prime factors of 35783? 11, 3253 What are the prime factors of 8373455? 5, 83, 20177 What are the prime factors of 200806? 2, 100403 List the prime factors of 11408976. 2, 3, 79229 What are the prime factors of 415832? 2, 59, 881 What are the prime factors of 10589820? 2, 3, 5, 176497 What are the prime factors of 190367? 190367 List the prime factors of 2076290. 2, 5, 207629 List the prime factors of 752349. 3, 13, 101, 191 What are the prime factors of 395147? 395147 What are the prime factors of 529579? 529579 List the prime factors of 231389. 71, 3259 What are the prime factors of 2031376? 2, 126961 What are the prime factors of 197581? 19, 10399 List the prime factors of 14170028. 2, 3542507 List the prime factors of 1502020. 2, 5, 13, 53, 109 List the prime factors of 3137149. 577, 5437 List the prime factors of 5896099. 11, 19, 28211 List the prime factors of 10164270. 2, 3, 5, 37, 9157 List the prime factors of 2616523. 7, 13, 28753 List the prime factors of 9040677. 3, 3013559 What are the prime factors of 453718? 2, 61, 3719 List the prime factors of 1660848. 2, 3, 7, 4943 What are the prime factors of 819146? 2, 409573 List the prime factors of 8571390. 2, 3, 5, 47, 6079 What are the prime factors of 1081953? 3, 239, 503 What are the prime factors of 656903? 13, 23 List the prime factors of 245571. 3, 23, 3559 What are the prime factors of 1005485? 5, 13, 31, 499 What are the prime factors of 1666969? 17, 98057 List the prime factors of 7896966. 2, 3, 7, 11, 17093 List the prime factors of 6577304. 2, 822163 What are the prime factors of 599041? 353, 1697 List the prime factors of 295889. 11, 37, 727 List the prime factors of 2496537. 3, 43, 6451 List the prime factors of 14842916. 2, 11, 337339 List the prime factors of 12005137. 1579, 7603 What are the prime factors of 4135267? 17, 43, 5657 What are the prime factors of 9065821? 2399, 3779 List the prime factors of 109038. 2, 3, 17, 1069 What are the prime factors of 319391? 319391 What are the prime factors of 597943? 73, 8191 What are the prime factors of 773174? 2, 386587 What are the prime factors of 32214537? 3, 1193131 What are the prime factors of 237924? 2, 3, 2203 What are the prime factors of 67319? 7, 59, 163 What are the prime factors of 2100380? 2, 5, 105019 What are the prime factors of 1544834? 2, 229, 3373 What are the prime factors of 424585? 5, 7, 1733 List the prime factors of 2811997. 211, 13327 List the prime factors of 7983299. 7983299 List the prime factors of 160326. 2, 3, 2969 What are the prime factors of 1687940? 2, 5, 37, 2281 What are the prime factors of 11860188? 2, 3, 29, 173, 197 What are the prime factors of 96674? 2, 48337 What are the prime factors of 478682? 2, 71, 3371 What are the prime factors of 1792710? 2, 3, 5, 19919 What are the prime factors of 193030? 2, 5, 97, 199 List the prime factors of 237604. 2, 191, 311 What are the prime factors of 213705? 3, 5, 1583 List the prime factors of 2270604. 2, 3, 7, 27031 List the prime factors of 17041232. 2, 13, 81929 List the prime factors of 1592971. 47, 33893 What are the prime factors of 281585? 5, 199, 283 What are the prime factors of 11425206? 2, 3, 13, 146477 What are the prime factors of 788050? 2, 5, 15761 What are the prime factors of 998977? 7, 142711 List the prime factors of 507525. 3, 5, 67, 101 List the prime factors of 163325. 5, 47, 139 List the prime factors of 583988. 2, 83, 1759 List the prime factors of 567487. 567487 List the prime factors of 2038862. 2, 7, 145633 What are the prime factors of 268984? 2, 33623 What are the prime factors of 7500417? 3, 17, 41, 211 List the prime factors of 336934. 2, 13, 12959 List the prime factors of 1569092. 2, 7, 56039 What are the prime factors of 3521723? 3521723 What are the prime factors of 553329? 3, 7, 8783 What are the prime factors of 98173? 19, 5167 What are the prime factors of 655171? 11, 59561 What are the prime factors of 564614? 2, 282307 What are the prime factors of 9997415? 5, 673, 2971 List the prime factors of 14412119. 443, 32533 What are the prime factors of 585220? 2, 5, 29, 1009 List the prime factors of 205953. 3, 11, 79 List the prime factors of 1571251. 11, 142841 List the prime factors of 303871. 303871 List the prime factors of 657051. 3, 219017 What are the prime factors of 5936255? 5, 13, 271, 337 List the prime factors of 13192. 2, 17, 97 What are the prime factors of 1021914? 2, 3, 56773 List the prime factors of 12508583. 17, 53, 13883 List the prime factors of 184778. 2, 11, 37, 227 What are the prime factors of 172588? 2, 13, 3319 List the prime factors of 689987. 689987 List the prime factors of 1534423. 11, 139493 What are the prime factors of 42135648? 2, 3, 438913 What are the prime factors of 70309? 70309 What are the prime factors of 841469? 181, 4649 List the prime factors of 640574. 2, 11, 2647 What are the prime factors of 19650126? 2, 3, 3275021 List the prime factors of 28914. 2, 3, 61, 79 What are the prime factors of 20540701? 1523, 13487 What are the prime factors of 10414515? 3, 5, 23, 30187 List the prime factors of 19977180. 2, 3, 5, 73, 4561 What are the prime factors of 614139? 3, 41, 4993 What are the prime factors of 236472? 2, 3, 59, 167 What are the prime factors of 1692798? 2, 3, 307, 919 What are the prime factors of 545107? 601, 907 List the prime factors of 1911681. 3, 7867 What are the prime factors of 8675719? 13, 667363 What are the prime factors of 41049443? 19, 857, 2521 What are the prime factors of 7040353? 7040353 What are the prime factors of 272976? 2, 3, 11, 47 What are the prime factors of 365221? 521, 701 List the prime factors of 233885. 5, 29, 1613 List the prime factors of 6722337. 3, 2240779 What are the prime factors of 6626375? 5, 7, 7573 What are the prime factors of 887828? 2, 221957 List the prime factors of 47024. 2, 2939 List the prime factors of 1394573. 1394573 List the prime factors of 315538. 2, 157769 What are the prime factors of 6798842? 2, 211, 16111 What are the prime factors of 11237393? 11237393 What are the prime factors of 9838? 2, 4919 What are t
{ "pile_set_name": "DM Mathematics" }
-1921, -2311? -2701 What comes next: 72, 50, 22, -12? -52 What is next in -223, -453, -695, -955, -1239, -1553? -1903 What is next in -15, 9, 55, 129, 237, 385, 579? 825 What is the next term in -655, -1302, -1949, -2596, -3243, -3890? -4537 What is next in -299, -311, -323, -335, -347, -359? -371 What comes next: 27, 59, 79, 81, 59? 7 What comes next: 9, 15, 21, 27, 33, 39? 45 What is next in -47, -207, -475, -851? -1335 What is next in 20, 32, 40, 44, 44, 40, 32? 20 What is next in -91, -95, -103, -115, -131, -151, -175? -203 What is the next term in -40, -80, -120, -160? -200 What is the next term in 266, 532, 800, 1070, 1342, 1616, 1892? 2170 What is the next term in -375, -380, -387, -396, -407, -420, -435? -452 What is the next term in -58, -107, -154, -199, -242? -283 What comes next: -5, 0, 3, 4, 3, 0? -5 What comes next: -186, -191, -196? -201 What is the next term in 977, 1938, 2897, 3854, 4809, 5762? 6713 What is next in -16, -36, -64, -94, -120, -136, -136? -114 What is the next term in -1, -8, -27, -64, -125, -216? -343 What is next in -301, -621, -955, -1309, -1689, -2101, -2551, -3045? -3589 What is the next term in 134, 376, 770, 1310, 1990? 2804 What is the next term in -258, -273, -298, -333? -378 What is next in -1549, -1543, -1523, -1483, -1417, -1319, -1183, -1003? -773 What is next in -47, -91, -135? -179 What is the next term in 3992, 15996, 36012, 64046, 100104, 144192, 196316, 256482? 324696 What is the next term in 463, 1876, 4231, 7528, 11767, 16948, 23071? 30136 What is the next term in 101, 98, 93, 86, 77, 66, 53? 38 What is next in 29, 36, 57, 98, 165, 264? 401 What is the next term in 460, 918, 1374, 1828, 2280? 2730 What comes next: 28, 21, 18, 25, 48, 93, 166? 273 What is next in 7014, 14026, 21038, 28050? 35062 What is the next term in -4, -25, -60, -109? -172 What comes next: -1047, -4195, -9441, -16785, -26227, -37767, -51405? -67141 What comes next: 28, 7, -34, -95, -176, -277? -398 What is next in 10, 21, 30, 37? 42 What is the next term in 2, -6, -32, -88, -186, -338? -556 What is the next term in -79, -93, -109, -121, -123? -109 What is next in 73, 140, 207, 274, 341, 408? 475 What comes next: 293, 582, 869, 1154, 1437? 1718 What comes next: -267, -237, -187, -117, -27, 83? 213 What comes next: -9850, -9849, -9848, -9847? -9846 What is next in -29, -28, -27, -26, -25? -24 What is the next term in 0, -14, -40, -78, -128? -190 What is the next term in -43, -88, -133, -178? -223 What is next in 726, 1446, 2156, 2850, 3522, 4166, 4776? 5346 What is next in -15, -46, -115, -240, -439, -730, -1131? -1660 What is the next term in 1147, 1150, 1153, 1156? 1159 What comes next: 495, 496, 497, 498? 499 What comes next: -599, -1220, -1841, -2462? -3083 What is next in -73, -182, -291, -400? -509 What comes next: 289, 294, 301, 310, 321? 334 What is the next term in -388, -380, -360, -322, -260, -168, -40? 130 What is the next term in -233, -234, -235, -236? -237 What comes next: 75, 193, 311, 429, 547? 665 What comes next: -5842, -5844, -5846, -5848? -5850 What comes next: 7, 11, 15, 19? 23 What is the next term in 17, 66, 169, 344, 609? 982 What is next in -8262, -8263, -8266, -8271, -8278, -8287, -8298? -8311 What is the next term in 1039, 2075, 3111, 4147, 5183? 6219 What comes next: -11761, -11763, -11765? -11767 What comes next: -13, -22, -19, 2, 47, 122, 233? 386 What is next in 4380, 4368, 4342, 4296, 4224, 4120, 3978? 3792 What is the next term in 5, 23, 41, 59, 77, 95? 113 What is next in 19, 51, 103, 175, 267, 379? 511 What is the next term in -100, -80, -34, 50, 184? 380 What is the next term in 1738, 3475, 5212, 6949, 8686? 10423 What comes next: -166, -345, -534, -739, -966, -1221, -1510, -1839? -2214 What is the next term in -249, -216, -123, 60, 363, 816? 1449 What comes next: -37, -80, -123, -166? -209 What is the next term in -27, -84, -179, -312? -483 What is the next term in -1671, -1670, -1669, -1668, -1667? -1666 What comes next: -14, -32, -86, -194, -374, -644, -1022, -1526? -2174 What is the next term in -35, -68, -101, -134, -167, -200? -233 What comes next: 978, 984, 994, 1008, 1026, 1048, 1074? 1104 What comes next: -2725, -2724, -2711, -2680, -2625, -2540? -2419 What comes next: 29, 60, 113, 188, 285, 404? 545 What comes next: -16, -22, -50, -112, -220? -386 What is next in 14, -7, -48, -109, -190, -291, -412? -553 What is next in -510, -503, -494, -483, -470, -455, -438? -419 What comes next: -23, -110, -255, -458, -719? -1038 What is the next term in 14133, 28268, 42403, 56538, 70673, 84808? 98943 What is next in 24, 132, 326, 612, 996, 1484, 2082? 2796 What is the next term in 148, 144, 138, 130? 120 What is next in 47, 441, 1517, 3617, 7083, 12257? 19481 What comes next: 137, 861, 2823, 6641, 12933? 22317 What is the next term in 25136, 50274, 75412, 100550, 125688, 150826? 175964 What is next in -218, -215, -210, -203? -194 What comes next: -18, -163, -308? -453 What is the next term in 16226, 32452, 48678? 64904 What is the next term in 1195, 1188, 1167, 1126, 1059, 960, 823? 642 What is the next term in 202, 828, 1872, 3340, 5238, 7572, 10348? 13572 What is next in 3, 111, 307, 597, 987, 1483, 2091? 2817 What is the next term in 208, 416, 624? 832 What comes next: -1549, -1552, -1567, -1600, -1657? -1744 What comes next: 102, 98, 94, 90, 86? 82 What is next in -326, -324, -322, -320? -318 What is the next term in 22, 83, 144, 205, 266? 327 What comes next: -9, -28, -65, -120? -193 What is next in 90, 208, 340, 492, 670, 880? 1128 What is next in -141, -281, -421? -561 What comes next: -7454, -7452, -7448, -7442, -7434? -7424 What is next in -212, -489, -788, -1115, -1476, -1877, -2324? -2823 What is the next term in 86, 207, 330, 455, 582? 711 What is the next term in -43, -79, -117, -157, -199? -243 What comes next: -26, -160, -488, -1106, -2110, -3596, -5660? -8398 What is the next term in 665, 666, 667, 668? 669 What is the next term in -7, -21, -21, -1, 45, 123, 239, 399? 609 What is the next term in 381, 778, 1173, 1566? 1957 What comes next: 34, 56, 76, 94? 110 What is next in 7075, 7078, 7081, 7084, 7087, 7090? 7093 What is the next term in 5047, 5046, 5045, 5044, 5043? 5042 What comes next: -2829, -2828, -2825, -2820, -2813, -2804? -2793 What comes next: 2718, 2719, 2720? 2721 What is the next term in 22, 63, 142, 277, 486, 787? 1198 What is the next term in 44, 85, 120, 149, 172? 189 What is next in -25, -80, -111, -106, -53? 60 What is the next term in 100, 114, 114, 94, 48, -30, -146? -306 What is next in -199, -198, -197, -196, -195, -194? -193 What is next in 360, 347, 336, 327, 320, 315, 312? 311 What is next in -2219, -4441, -6675, -8927, -11203, -13509? -15851 What is the next term in -94, -86, -74, -58? -38 What is the next term in 266, 285, 304, 323, 342? 361 What comes next: 168, 190, 224, 276, 352, 458, 600, 784? 1016 What comes next: -212, -253, -294, -335, -376, -417? -458 What is the next term in -949, -1891, -2833? -3775 What is next in -33, -75, -137, -225, -345, -503, -705? -957 What is the next term in 3999, 3995, 3991, 3987, 3983? 3979 What is next in -24, -51, -98, -165, -252? -359 What is the next term in 81, 205, 411, 699? 1069 What comes next: 12, 14, 18, 24, 32, 42? 54 What comes next: 48, 86, 124, 162? 200 What comes next: 137, 148, 155, 158, 157, 152? 143 What comes next: 605, 2422, 5449, 9686, 15133, 21790, 29657? 38734 What is next in -67, -144, -229, -322, -423? -532 What is next in 22, 25, 26, 25? 22 What comes next: 56, 240, 546, 974, 1524? 2196 What is the next term in -9, 24, 107, 264, 519, 896? 1419 What comes next: -31, -50, -83, -130? -191 What is next in -99, -195, -291, -387, -483? -579 What is next in 5621, 11243, 16865, 22487? 28109 What comes next: 87, 99, 111? 123 What is the next term in 19, 31, 49, 73? 103 What comes next: -131, -104, -77, -50, -23, 4? 31 What comes next: -80, -26, 28, 82? 136 What is the next term in 937, 940, 945, 952, 961, 972, 985? 1000 What is the next term in 983, 1966, 2949? 3932 What is next in 2, 74, 194, 362, 578? 842 What is next in 1011, 1020, 1027, 1032? 1035 What is next in 23, 17, -39, -169, -397, -747, -1243? -1909 What is the next term in -499, -517, -545, -589, -655, -749, -877? -1045 What
{ "pile_set_name": "DM Mathematics" }
rk out 1643641 * -12. -19723692 Work out -41 * -1.496769. 61.367529 Multiply 475.5 and -913.98. -434597.49 Product of 0.012 and -189.2. -2.2704 -34504 * 1053 -36332712 What is -1545978 times -0.09? 139138.02 What is the product of -0.13 and 5422088? -704871.44 28.763 times -5.46 -157.04598 -334*-511807 170943538 What is -0.1 times 976.389? -97.6389 Calculate -0.5*-0.864647. 0.4323235 Multiply 533 and -13.11. -6987.63 Product of 4461 and 0.32822. 1464.18942 Product of 17395781 and 11. 191353591 What is the product of -12.958 and 3.17? -41.07686 1925939.32 * 0.5 962969.66 Multiply -0.522315 and -4. 2.08926 677346 times -0.05 -33867.3 Multiply 176.17853 and -0.1. -17.617853 Product of -4.55072 and 15. -68.2608 -605.62 * -0.186 112.64532 What is -0.3 times 0.02550851? -0.007652553 Work out 10741862 * 3. 32225586 Product of -0.342 and -250100. 85534.2 What is 0.0104732 times -6.4? -0.06702848 -2.524 * 15646 -39490.504 What is -9 times -2119049? 19071441 Calculate -0.017*-620.6788. 10.5515396 16544460*-0.031 -512878.26 21.1 * -2570.12 -54229.532 243 times 166373 40428639 Calculate -310879*-0.44. 136786.76 136.9337*-218 -29851.5466 -0.245*266049 -65182.005 Work out 127481038 * 0.3. 38244311.4 Product of 0.2 and 0.9102145. 0.1820429 Multiply 0.1388928 and 16. 2.2222848 What is 2 times 160193.6? 320387.2 Multiply -27 and 82.1471. -2217.9717 2 times 146882194 293764388 -218.3 times 5084.31 -1109904.873 17.1 * -0.017126 -0.2928546 What is the product of 41857 and 13990? 585579430 What is -16.2366 times 4? -64.9464 What is the product of 42535 and -56? -2381960 -3102 * -12.678 39327.156 7759834 times 11 85358174 Calculate -3156*400513. -1264019028 0.2*-788511.05 -157702.21 What is -32307288 times 2.1? -67845304.8 What is the product of -575 and -77.17? 44372.75 Product of -125296 and -10.1. 1265489.6 Work out 11256238 * 0.1. 1125623.8 13.9039 times 83.37 1159.168143 Product of 0.23 and 8074337. 1857097.51 What is 8.84 times -145348? -1284876.32 Work out -54 * 21091. -1138914 Calculate -0.4*3924563. -1569825.2 0.2438 times 3307 806.2466 -65.8*-13396 881456.8 Calculate 3*2121756. 6365268 -0.1924 times 0.2155 -0.0414622 1.5 * 2409196 3613794 Multiply -104506 and -1. 104506 -0.2 times -10009.6 2001.92 What is 12 times -246324.62? -2955895.44 Multiply 23043 and -1. -23043 Work out -0.5 * -270839964. 135419982 What is the product of -149.998 and -16.81? 2521.46638 Calculate -320*-954313. 305380160 What is -0.5 times 3883187.2? -1941593.6 Work out 0.1096288 * -218. -23.8990784 What is the product of 0.4 and 5874157? 2349662.8 Product of 275.58 and -1.9. -523.602 Work out -6304 * -1370. 8636480 48.9 * 0.2277 11.13453 What is 57950 times 5600? 324520000 What is the product of -21238131 and 0? 0 Product of 6646.665 and 0.5. 3323.3325 What is the product of -83850087 and -0.06? 5031005.22 -8*-0.037061206 0.296489648 Product of 74.359 and 2845. 211551.355 14098437 times 8 112787496 Multiply 134208193 and 0.2. 26841638.6 -1214 times -9.13 11083.82 Calculate -57*4358606. -248440542 -56390*3.43 -193417.7 -0.02 * 37.7718 -0.755436 What is the product of 0.5 and -388972? -194486 What is the product of -6276 and 5162? -32396712 Work out -3 * 2049825. -6149475 Product of -0.3 and 15072.59. -4521.777 What is the product of -107.2 and 18? -1929.6 What is the product of 2 and 0.04755502? 0.09511004 What is the product of 600450 and -0.7? -420315 What is the product of 2635.3255 and 5? 13176.6275 Multiply -100636 and 0.03. -3019.08 -0.13489 * -0.00945 0.0012747105 -271818 * -55 14949990 0.4*1593987 637594.8 -263.2 * 1.3757 -362.08424 Multiply 2 and -0.002496701. -0.004993402 Multiply 27.14586 and 0.4. 10.858344 What is 477288 times -11.3? -5393354.4 What is 3983 times 8.916? 35512.428 Product of -1322 and 45.245. -59813.89 What is -1.813355 times 5? -9.066775 Product of 489009 and 5.2. 2542846.8 3.2*0.3554188 1.13734016 0 times 10.764089 0 What is 0.1 times 0.8694075? 0.08694075 Work out 9.55 * 943. 9005.65 Product of -39259.2 and -0.03. 1177.776 Multiply -296.1 and -79.1. 23421.51 What is the product of -124.405 and -230? 28613.15 Calculate 3*-6502466. -19507398 What is the product of -151366 and -16? 2421856 What is the product of -26879 and 8.109? -217961.811 Work out 3.12 * 0.041264. 0.12874368 -1112228.7 times 4 -4448914.8 5*48948781 244743905 Multiply 0.2062 and -367. -75.6754 Calculate 0.07*-0.32157638. -0.0225103466 Multiply 0.04 and -108151.414. -4326.05656 100411555*-1 -100411555 Multiply 1 and 2780694. 2780694 140794 times 0.1 14079.4 4.37 * 1635.99 7149.2763 0.0587*-218495 -12825.6565 Work out 4 * 1114096. 4456384 Calculate 209*-34.3773. -7184.8557 Multiply -313.27945 and 5. -1566.39725 Calculate 0.49383011*0.2. 0.098766022 -0.4559*-26603 12128.3077 -0.037989*-32 1.215648 -1061 times 53961 -57252621 Product of -18767932 and 12. -225215184 Work out 80361 * -7563. -607770243 -8532.38 * -0.55 4692.809 -733*7943 -5822219 Product of -354078 and 0.42. -148712.76 Product of -1.6 and 860830. -1377328 What is the product of 589 and -0.552071? -325.169819 Product of 1341922 and -4. -5367688 Product of 3.8687709 and -24. -92.8505016 What is the product of -13.2271578 and -3? 39.6814734 Product of -0.3015344 and -9. 2.7138096 What is the product of -0.26401 and -17649? 4659.51249 Multiply 0.96 and 377204. 362115.84 Multiply 4604.594 and 5. 23022.97 -0.1196*-7551 903.0996 -55650854 times 3 -166952562 Calculate 96079*-11.2. -1076084.8 Multiply -9 and 989883. -8908947 Product of 249 and -0.0085. -2.1165 729915.12*3 2189745.36 What is 181 times 130517? 23623577 15288.36 times 0.4 6115.344 -40965 * 1 -40965 0.8*1006.544 805.2352 -0.09*198676 -17880.84 135057*-542 -73200894 -1593481 * -330 525848730 3155604 * -0.5 -1577802 What is the product of -10.1587 and -9036? 91794.0132 Calculate -5309*546. -2898714 -19 times 0.086927 -1.651613 0.2 * -22051.09 -4410.218 -3053 * 64 -195392 What is -0.08786423 times 0.3? -0.026359269 -5*10.10248 -50.5124 What is the product of -166 and 2769146? -459678236 -9 * -0.88614 7.97526 Calculate 2*-2.2710505. -4.542101 Calculate 0.2185023*14. 3.0590322 -284702.5 times 0 0 What is 105542.34 times 7? 738796.38 -298.6131 times -3 895.8393 Work out -12.78 * 0.106. -1.35468 Work out 98433 * -8091. -796421403 Multiply -3859.31 and 0.15. -578.8965 0 * 0.5950353 0 Calculate 0.017953094*3. 0.053859282 Calculate 845.318*0.09. 76.07862 403262861 times -0.1 -40326286.1 -0.1 * 72.635531 -7.2635531 -128896.1*9 -1160064.9 Product of -6 and -14223922. 85343532 What is the product of 220 and -54931? -12084820 -3316*27031 -89634796 -0.3 times 54122212 -16236663.6 Multiply 10884.4 and -0.0994. -1081.90936 213862*-1.5 -320793 What is -722406 times 1? -722406 0.0193689*0.244 0.0047260116 Calculate 5940157*-15. -89102355 -1774 times -2041 3620734 Work out 10.1 * 55025. 555752.5 Product of 5 and -941147. -4705735 What is the product of -38604619 and -4? 154418476 0.6259 times 2.77 1.733743 -43461334.6*0 0 What is the product of -0.689 and -2.90657? 2.00262673 24393917*0.5 12196958.5 2 * -5113623 -10227246 4*-18471232 -73884928 -0.01141473 times 14 -0.15980622 Calculate 2.36436*-42. -99.30312 What is -0.07 times -0.11729393? 0.0082105751 Work out 1 * -187772348. -187772348 Multiply 0.05998 and 0.3426. 0.020549148 Work out 17529960 * 39. 683668440 What is -0.0239 times 123726? -2957.0514 -406359.6*-0.4 162543.84 704 * 16774 11808896 What is 24527595 times 0.6? 14716557 What is the product of -24918 and 749? -18663582 Multiply -70480954 and -0.5. 35240477 78*-481853 -37584534 What is the product of 1255 and 0.549? 688.995 105 * -0.0339059 -3.5601195 13 times -18197924 -236573012 What is the product of 0.2 and 533108.16? 106621.632 -1691.2*417 -705230.4 116820 * -0.056 -6541.92 What is the product of -11721830 and 38? -445429540 What is the product of 1561 and 65044? 101533684 Work out 815 * -10.375. -8455.625 Calculate 0.05*14766307. 738315.35 Calculate -39566*10193. -403296238 What is the product of -35938554 and -0.2? 7187710.8 Work out -5.6 * 24.87328. -139.290368 What is the product of -3325 and 1145? -3807125 Calculate 0.1524428*-221. -33.6898588 -0.8 * -819164 655331.2 Calculate 1482.2*41153. 60996976.6 0.3 * -19450155 -5835046.5 42.3*92674 3920110.2 Calculate -0.5*-15.
{ "pile_set_name": "DM Mathematics" }
0.7 Round -788.633 to the nearest integer. -789 Round 0.000607248 to six decimal places. 0.000607 What is -253324.51 rounded to the nearest 10000? -250000 What is 1.895711 rounded to 1 decimal place? 1.9 What is 0.0253327 rounded to 4 decimal places? 0.0253 What is 1874006400 rounded to the nearest 1000000? 1874000000 What is -0.0002405175 rounded to six decimal places? -0.000241 Round -94494.56 to the nearest one thousand. -94000 What is 21407877 rounded to the nearest 1000000? 21000000 Round -0.00002364507 to 7 decimal places. -0.0000236 Round 0.0270944 to 3 dps. 0.027 What is 392.5223 rounded to the nearest one hundred? 400 Round 39111900 to the nearest one million. 39000000 What is -0.0005454217 rounded to seven dps? -0.0005454 Round -4040814 to the nearest one thousand. -4041000 Round -32880.4 to the nearest 1000. -33000 Round -130220800 to the nearest one hundred thousand. -130200000 What is 0.0001676611 rounded to seven decimal places? 0.0001677 Round 0.0019330279 to 4 dps. 0.0019 What is -8.590118 rounded to 1 decimal place? -8.6 What is -121.67 rounded to 1 decimal place? -121.7 What is -0.0007332059 rounded to 4 decimal places? -0.0007 What is 37146.7 rounded to the nearest one hundred? 37100 Round 0.3024803 to three dps. 0.302 Round 1312746000 to the nearest one million. 1313000000 What is -0.00583798 rounded to five decimal places? -0.00584 What is 0.001043077 rounded to 5 dps? 0.00104 What is -40939.1 rounded to the nearest ten thousand? -40000 What is -0.00059056694 rounded to five dps? -0.00059 Round 75857000 to the nearest one hundred thousand. 75900000 Round -12.169284 to the nearest integer. -12 Round -11904265000 to the nearest 1000000. -11904000000 What is 1190433000 rounded to the nearest one million? 1190000000 What is 1175475 rounded to the nearest one thousand? 1175000 Round 0.0000325136 to four decimal places. 0 Round 1.2237531 to two decimal places. 1.22 What is 4077.67 rounded to the nearest ten? 4080 What is 127852 rounded to the nearest one thousand? 128000 Round -0.0464228 to 3 decimal places. -0.046 Round -25.376575 to one dp. -25.4 What is -7.9182 rounded to 1 dp? -7.9 Round -11717.586 to the nearest ten. -11720 What is 0.0003027392 rounded to 7 decimal places? 0.0003027 Round 3012350 to the nearest one hundred thousand. 3000000 Round -0.001411434 to six dps. -0.001411 What is 147.94776 rounded to the nearest 100? 100 Round 82892640 to the nearest ten thousand. 82890000 What is 0.0000671149 rounded to five decimal places? 0.00007 Round -8051049 to the nearest 1000000. -8000000 What is -0.1974283 rounded to 2 decimal places? -0.2 Round -29559260 to the nearest 100000. -29600000 What is 0.000221157 rounded to 6 decimal places? 0.000221 What is 1661700 rounded to the nearest one hundred thousand? 1700000 What is 766040000 rounded to the nearest one million? 766000000 What is 162.3905 rounded to the nearest integer? 162 Round 0.000830756 to six decimal places. 0.000831 Round -0.015640217 to 4 decimal places. -0.0156 What is 0.020279994 rounded to 5 decimal places? 0.02028 Round 2534.675 to the nearest integer. 2535 What is 3.3416011 rounded to 3 decimal places? 3.342 What is -0.09982 rounded to two dps? -0.1 Round 27183400 to the nearest one million. 27000000 Round -149013 to the nearest one thousand. -149000 Round 1.033551 to zero decimal places. 1 Round 14302400 to the nearest 10000. 14300000 What is 35762401 rounded to the nearest 10000? 35760000 What is -2352251 rounded to the nearest ten thousand? -2350000 What is 0.3178028 rounded to three decimal places? 0.318 What is 1.28421816 rounded to 4 decimal places? 1.2842 What is -0.00002641319 rounded to 6 dps? -0.000026 What is -34555.08 rounded to the nearest one thousand? -35000 What is -0.00000199454 rounded to 7 dps? -0.000002 What is 162.7269 rounded to the nearest 10? 160 Round -224.79365 to 1 decimal place. -224.8 What is -94.8821 rounded to 0 decimal places? -95 Round 0.00147664 to four dps. 0.0015 What is -12943.2 rounded to the nearest 100? -12900 What is 2586930 rounded to the nearest 100000? 2600000 Round 96527.545 to the nearest 100. 96500 Round 852836 to the nearest one thousand. 853000 What is 0.000025493776 rounded to 7 decimal places? 0.0000255 Round -66.38174 to 1 decimal place. -66.4 Round 6442.045 to the nearest 100. 6400 Round 294646500 to the nearest 1000000. 295000000 Round 1.445788 to two decimal places. 1.45 What is 1350911000 rounded to the nearest 1000000? 1351000000 Round -30299600 to the nearest 1000000. -30000000 Round 12.5141 to 1 decimal place. 12.5 Round 0.0006706179 to five dps. 0.00067 What is -341105 rounded to the nearest one hundred thousand? -300000 What is 1758.5 rounded to the nearest one hundred? 1800 What is 0.00013462829 rounded to 7 decimal places? 0.0001346 Round -55.002095 to 2 dps. -55 What is -0.8885036 rounded to 3 decimal places? -0.889 Round -0.3898013 to three decimal places. -0.39 Round -0.3758248 to three dps. -0.376 What is -0.6301388 rounded to 2 decimal places? -0.63 Round 0.001577182 to five dps. 0.00158 What is -18207 rounded to the nearest 10000? -20000 What is -4.431727 rounded to 1 decimal place? -4.4 Round 0.000060566237 to seven decimal places. 0.0000606 Round 0.0002051194 to 5 dps. 0.00021 Round -0.1684884 to 4 dps. -0.1685 Round 0.000018655071 to 6 decimal places. 0.000019 What is 94378.26 rounded to the nearest 100? 94400 Round 1155027 to the nearest 10000. 1160000 What is -110.6034 rounded to the nearest 10? -110 What is 0.0000104176 rounded to seven dps? 0.0000104 Round -1.54827 to two dps. -1.55 Round 19940.6 to the nearest ten thousand. 20000 What is -1681400 rounded to the nearest one million? -2000000 What is -1491145 rounded to the nearest one million? -1000000 Round 1299420 to the nearest one hundred thousand. 1300000 Round 3700549 to the nearest 100000. 3700000 Round -20686.172 to the nearest one hundred. -20700 Round 2.0203538 to 1 decimal place. 2 Round -197.1567 to the nearest 10. -200 Round -2535.3734 to the nearest 100. -2500 What is 0.057697 rounded to the nearest integer? 0 What is 0.0995224 rounded to 5 decimal places? 0.09952 What is 1.3377294 rounded to two dps? 1.34 Round -9443473000 to the nearest 1000000. -9443000000 What is 13.267362 rounded to the nearest integer? 13 Round 0.00001557755 to five decimal places. 0.00002 Round -28000.4 to the nearest 10000. -30000 What is 0.001075877 rounded to four decimal places? 0.0011 Round 1828.8366 to the nearest ten. 1830 Round -517.45664 to the nearest one hundred. -500 What is -562248.5 rounded to the nearest one hundred thousand? -600000 Round 4385481 to the nearest 10000. 4390000 Round -123.7214 to the nearest ten. -120 Round -0.011689 to four dps. -0.0117 Round -0.003965107 to 3 decimal places. -0.004 What is 25112270 rounded to the nearest 1000000? 25000000 What is 0.020411166 rounded to five decimal places? 0.02041 Round -0.2922794 to 1 dp. -0.3 What is 0.000001757337 rounded to 7 dps? 0.0000018 What is 0.10198135 rounded to 2 decimal places? 0.1 What is -0.844937 rounded to 1 decimal place? -0.8 What is -0.000002538372 rounded to seven decimal places? -0.0000025 What is 36.040463 rounded to 1 decimal place? 36 Round 0.0000379157 to 7 dps. 0.0000379 What is 20647.39 rounded to the nearest one thousand? 21000 What is 46105 rounded to the nearest ten thousand? 50000 What is -0.01401973 rounded to 5 dps? -0.01402 What is 0.0002587525 rounded to seven dps? 0.0002588 Round -1.3766632 to one dp. -1.4 Round -6.2818697 to zero decimal places. -6 What is 344874.6 rounded to the nearest 100000? 300000 What is 178741700 rounded to the nearest one million? 179000000 What is 8603090 rounded to the nearest 10000? 8600000 What is -1.7246 rounded to the nearest integer? -2 What is -6786.22 rounded to the nearest ten? -6790 Round -17852768 to the nearest one million. -18000000 What is 0.012693161 rounded to 3 dps? 0.013 What is -16084900 rounded to the nearest one hundred thousand? -16100000 What is -0.002101949 rounded to 6 dps? -0.002102 What is 29501.21 rounded to the nearest 10000? 30000 What is -11.282637 rounded to 2 dps? -11.28 What is -303.023 rounded to the nearest 100? -300 What is -5865080 rounded to the nearest 100000? -5900000 Ro
{ "pile_set_name": "DM Mathematics" }
**2 + g**2 + 0*g**2) in the form k*g**3 + c*g + v + j*g**2 and give k. -184 Rearrange 4 + 2 + 4*v**3 - 2*v - 3*v**3 + v**2 - 4 to q*v**2 + a + s*v + h*v**3 and give s. -2 Rearrange -b**4 + 3*b**3 - 5*b**3 + 3*b**3 - 4 + b**3 to the form v + g*b**2 + j*b**4 + t*b + z*b**3 and give v. -4 Express -6*g**2 + g**3 + 13*g**2 + 20 - 7*g**2 as d*g + u + o*g**3 + h*g**2 and give o. 1 Express 5*y**2 + 3 - 1 - 2 as c + r*y**2 + k*y and give r. 5 Rearrange 6*t**4 + 0*t**3 - 5*t + t**3 - 2*t**2 - 2*t**3 - t**4 to the form j*t + s*t**3 + r*t**4 + i*t**2 + b and give s. -1 Express 26*l + 2*l - 14*l + 24*l as x*l + g and give x. 38 Rearrange (j**2 + 1 - 1)*(3*j - 3*j + 6*j**2)*(8 - 8 - 7) to the form i*j**3 + h*j**4 + c + l*j**2 + o*j and give h. -42 Express -2*p**4 + 0*p**2 - p + 0*p**2 + (-6*p**2 + 4*p**2 + 4*p**2)*(6 - 6 - p**2) in the form t*p**2 + m*p**4 + b*p**3 + l + v*p and give v. -1 Rearrange 2*t**2 - t**2 - 7*t**2 + (-4 + 4 + 2*t)*(-2 + t + 2) to m*t**2 + d + a*t and give m. -4 Express (2*i**2 - 4*i**2 + 0*i**2)*(1 - 3 + 0) + 1 - i**2 - 1 + (-2 - 4 + 3)*(-3 + 3 - i)*(-i + i - 2*i) as b*i**2 + z + c*i and give b. -3 Express 12*u**3 - 2*u**3 - 8*u**3 - 2*u as p + m*u**2 + q*u**3 + f*u and give q. 2 Rearrange (-1 - 3 + 6)*(-1 + 0 - 2)*(1 - f + 0*f - f) to i*f + h and give h. -6 Rearrange (-4*t + t + 4*t)*(-3 + 2 - 6) - 4*t + t + t to the form m*t + r and give m. -9 Rearrange (6*j + 2 - 2)*(0 + 0 + j)*(-3 + 4 + 0) to v + k*j + t*j**2 and give t. 6 Rearrange (-u**2 + u**2 - u**2)*(-20 + 4 + 3) to the form a*u**2 + p + q*u and give a. 13 Express 5*q**3 - 3*q - 248*q**4 + 0*q**2 + 246*q**4 + q**2 as m*q**3 + w*q**4 + l*q + b + f*q**2 and give f. 1 Express (0 + 6*l + 2 - 4)*(-5 + 242*l**3 - 238*l**3 + 0) as m*l**4 + z*l**3 + n + i*l**2 + x*l and give z. -8 Express ((-1 + 3 - 3)*(-3 + 5 - 4) + 0 + 0 - 2 + 4 - 1 - 10)*(1 + 0 + z + 0) in the form h + b*z and give h. -7 Express -2*y + 9*y**3 + 3*y - 3*y as v*y + j + k*y**3 + s*y**2 and give v. -2 Express -8*q - 24 - 8*q + 18*q in the form x*q + f and give f. -24 Rearrange -4*v - 3*v + 14*v + 15*v to the form o*v + m and give o. 22 Express -15*d + d**3 - 2*d**2 + 15*d + 4 + 2 in the form a*d**3 + z + q*d + o*d**2 and give z. 6 Rearrange -f**3 + 2*f**3 + 46*f**4 - 21*f**4 + 1 to l + v*f**2 + x*f**4 + m*f + g*f**3 and give g. 1 Express (2 - 1 - 2)*(-2*x - 1 + 1) - 3*x + x + 3*x in the form b*x + z and give b. 3 Express 0*m - 2*m - 3*m + (-3 + 3 + 2*m)*(-1 + 3 - 3) as k*m + t and give k. -7 Rearrange (-7 - 7 + 2)*(1 + a - 2*a + 0) to the form h + v*a and give v. 12 Rearrange 8*m**3 - 2*m + 1 + 5*m**3 + 2*m + 2*m to o*m + w*m**2 + u*m**3 + v and give o. 2 Express (2 - 2*f**3 - 2)*(0*f - 2*f + 8*f) + 2*f**4 + 1 - 1 in the form n*f + k*f**2 + g*f**3 + a*f**4 + c and give a. -10 Express 7 - 15 - 2*q - q**3 + 10 in the form p*q**2 + a*q + f*q**3 + r and give r. 2 Rearrange 333*y**4 - y**3 - 20*y**2 + 4 - 4 - 331*y**4 to the form x*y**4 + u*y**2 + g*y + o*y**3 + n and give x. 2 Rearrange -5 + 2*i - 3*i - 16 + 9 to t + m*i and give t. -12 Rearrange -71*f**2 - 2 + 62*f**2 + 2*f**3 + 1 to the form i*f**2 + p*f**3 + t*f + u and give u. -1 Express -58*j**2 - 60*j**2 + 9*j**2 + 7*j**2 in the form h*j + d*j**2 + u and give d. -102 Express -2*d - d - 10*d - 14*d as y + o*d and give y. 0 Express -2*w**2 - 4*w**4 - 102*w + 1 + 105*w - 1 as z*w**2 + x + l*w**3 + b*w + p*w**4 and give b. 3 Rearrange (2 - 2 - 6)*(-111*m**2 - 109*m**2 + 207*m**2) to the form k*m + t*m**2 + b and give t. 78 Rearrange ((3 - 1 - 1)*(-3 + 2 - 1) + 3 + 2 - 1)*(2*i - i + 7*i) to the form d*i + p and give d. 16 Rearrange 8*j + 5 + 0 - 2*j to i + d*j and give d. 6 Express 16*j - 10*j - 3*j**3 - 12*j as g*j + a*j**2 + w*j**3 + p and give g. -6 Rearrange -2*k + k**2 + 7 - 5 + k**4 + 0*k**2 to t*k**2 + x*k**4 + u*k**3 + l*k + y and give l. -2 Express -21 + 6 + 3 + 8 - 2*z**2 + 2*z in the form i*z + a + h*z**2 and give i. 2 Rearrange -6*j**2 - 3*j**2 - 11*j**2 + j**2 to the form h*j + m + i*j**2 and give i. -19 Rearrange -30*y + y**4 + 2*y**3 + 2*y**3 - 2 - 2*y**3 + 8*y**2 + 28*y to the form v*y + s*y**3 + l*y**2 + w*y**4 + z and give w. 1 Rearrange c + 7*c + 1 + c - c to v + y*c and give y. 8 Rearrange (-56 + 47 - 100)*(-3*n**4 + n**4 + 5*n**4) to the form q*n**3 + b*n + z*n**2 + v + l*n**4 and give l. -327 Rearrange -4 - 13*y**2 - 6 + 10 to z*y + x*y**2 + c and give x. -13 Express 2*q**4 - 2*q - 6*q - 2*q**3 + 2*q**2 + 2*q + 4*q in the form x*q**2 + t*q + f*q**4 + u + d*q**3 and give x. 2 Express 4*r**3 + 3*r + 0*r**3 - 3*r**3 as s*r**2 + a + k*r**3 + f*r and give k. 1 Rearrange -9*s**2 + s**2 + 14*s**2 + 16*s**3 - 7*s**2 + s**4 to q*s**3 + h*s**2 + a + y*s**4 + c*s and give h. -1 Rearrange -6*a**2 + 6*a**2 + 9*a**2 + (1 + 0 + 0)*(0*a**2 + a**2 + a**2) to the form w*a**2 + o*a + s and give s. 0 Express 4*v + 2*v**2 - 2*v + 4*v**3 - 4*v**2 in the form b*v**3 + r*v + l + x*v**2 and give x. -2 Express (3*s + 2 - 2)*(18 - 30 - 7)*((-2*s - 2*s + 3*s)*(-2*s + 0*s + s) - 2*s**2 + 0*s**2 + 6*s**2) as m + v*s**2 + b*s + a*s**3 and give a. -285 Express -q**2 + 4*q**2 + 0*q**2 + (-3*q + 6*q - 2*q)*(q + q - q) + 2*q**2 - q**2 + 2*q**2 in the form r + f*q + v*q**2 and give v. 7 Express -14*i**3 - 3*i**2 + 6*i**4 - 3*i**4 + 13*i**3 as t + s*i**2 + c*i + j*i**4 + x*i**3 and give s. -3 Express 8*n**3 - 5*n**3 + 2*n + 0*n**3 in the form w + o*n**2 + s*n + q*n**3 and give q. 3 Rearrange (-2*j + 17 - 15 - 2*j)*(-3*j**3 + 3*j**3 - j**3) to o*j**3 + i*j**2 + n*j**4 + k*j + x and give n. 4 Express w**2 + 6 - 44*w - 6 in the form p + t*w + q*w**2 and give q. 1 Rearrange 2*r + 3*r + 2 - 5*r**2 - 4*r to the form g*r**2 + y*r + z and give z. 2 Rearrange (-4*s - 12 + 0*s + 6)*(-6*s + 2 + 4*s - 1) to the form w*s + o + y*s**2 and give o. -6 Rearrange -7*i + 2*i + 2*i to the form h*i + r and give r. 0 Express 55 + p - 110 + 60 as y + a*p and give a. 1 Rearrange 2*w**2 + 2*w**4 - 3*w**4 + w**3 + 0*w**4 to the form c*w + z*w**3 + o*w**2 + x + d*w**4 and give o. 2 Express (19*t + 6 + 0 - 20*t)*(1 - 1 - 2*t)*(5 - 5 - 10) as c*t + o*t**2 + r and give o. -20 Rearrange -4*y**2 - 367 + 38*y**3 + 2*y**2 + 365 + y + 40*y**3 to the form c*y**2 + u + v*y + n*y**3 and give v. 1 Express 13*l - 198*l + 84*l as z + t*l and give t. -101 Express 156 - 156 + 7*z in the form p*z + f and give p. 7 Express (-7 - 9 + 8)*(0*o**4 - 2*o**4 + 0*o**4) + 2*o**4 - 2*o**4 - o**4 as y*o**3 + f*o + q*o**2 + h + a*o**4 and give a. 15 Express -5*w + 3*w + 16*w - 7*w + 5 in the form j*w + a and give j. 7 Express -u**2 + 0*u**2 + 5*u**2 - 3*u**2 + 3 + 3*u**4 in the form i + j*u**4 + r*u**3 + g*u**2 + p*u and give g. 1 Rearrange (-5 + 4 - 1)*(-2*a**3 + 2*a**2 - 2*a**2) + 4*a**3 - 2*a**3 + 0*a**3 + (2*a + 2*a - 5*a)*(a**2 + 1 - 1) to f + l*a + s*a**2 + i*a**3 and give i. 5 Express (-2*b + 4*b - b)*(-1 + 2*b**2 + 1) + 25*b**3 + 55*b - 57*b - 6*b**3 in the form q*b**3 + u*b + y + i*b**2 and give q. 21 Express -18*h + 0*h**2 + 18 - h**2 + 2*h**2 + 17*h + 2*h**3 as v*h**2 + c*h + u + n*h**3 and give n. 2 Rearrange -l**2 + l**2 - 1 + 3*l**2 to u*l + x + s*l**2 and give s. 3 Express (18*o - 9*o - 6*o)*(-2*o - 8 + 3 + 1) in the form r + b*o + q*o**2 and give b. -12 Rearrange (6 + 3*b - 5*b + 0*b)*(-4*b - 3*b + 5*b) - b + b - 2*b**2 to the form s*b + x + r*b**2 and give s. -12 Express ((-k - k + 3*k)*(0 + 2 - 3) + k - 6*k - k)*(-3 + 3 - 1) in the form m*k + n and give m. 7 Express -2 - 4*a**2 + 0*a**2 + 0 as i + q*a**2 + o*a and give q. -4 Express s + 2*s - 9*s - 4*s as z + j*s and give j. -10 Express -101*f + 705 - 705 in the form s*f + j and give s. -101 Express (3*f**2 + 3*f**2 - 4*f**2)*(-760*f + 237*f**2 + 760*f) as m*f**4 + n*f**2 + t*f**3 + o*f + i and give m. 474 Express (9*x + 9*x - 14*x + 6)*(-2 + 7 + 1)*(2*x**3 - 2*x**3 + x**3) as n*x + b + c*x**2 + w*x**3 + d*x**4 and give w. 36 Rearrange -n + 1 - 1 + (3 - n - 3)*(0 + 1 + 1) + 3*n - 3*n + n + (2*n + 2*n - 2*n)*(1 - 2 - 1) - 5*n + 3*n + n + 3*n + 2*n + 4*n to the form u*n + r and give u. 2 Express 4*j**2 - 7*j**2 - 2*j**2 + (-3*j**2 + 4*j**2 - 3*j**2)*(3 + 0 + 0) as f + v*j + n*j**2 and give n. -11 Rearrange 18*g**2 + 13*g**2 + 15*g**2 + 33*g**2 to the form w*g + v + d*g**2 and give d. 79 Express -7*a + 11*a - a - 5*a - 7*a**2 as i*a + f*a**2 + z and give i. -2 Rearrang
{ "pile_set_name": "DM Mathematics" }
when 728 is divided by 146? 144 What is the remainder when 48 is divided by 29? 19 Calculate the remainder when 2362 is divided by 295. 2 Calculate the remainder when 356 is divided by 252. 104 What is the remainder when 639 is divided by 12? 3 What is the remainder when 431 is divided by 29? 25 What is the remainder when 226 is divided by 45? 1 What is the remainder when 523 is divided by 14? 5 Calculate the remainder when 549 is divided by 55. 54 What is the remainder when 107 is divided by 18? 17 What is the remainder when 1287 is divided by 68? 63 Calculate the remainder when 94 is divided by 13. 3 What is the remainder when 363 is divided by 14? 13 Calculate the remainder when 610 is divided by 25. 10 Calculate the remainder when 1474 is divided by 212. 202 What is the remainder when 8247 is divided by 11? 8 What is the remainder when 6140 is divided by 6129? 11 What is the remainder when 359 is divided by 9? 8 Calculate the remainder when 282 is divided by 96. 90 What is the remainder when 30 is divided by 23? 7 What is the remainder when 753 is divided by 369? 15 What is the remainder when 4737 is divided by 30? 27 Calculate the remainder when 197 is divided by 50. 47 Calculate the remainder when 394 is divided by 95. 14 What is the remainder when 568 is divided by 136? 24 Calculate the remainder when 258 is divided by 37. 36 What is the remainder when 545 is divided by 161? 62 Calculate the remainder when 2919 is divided by 122. 113 Calculate the remainder when 208 is divided by 16. 0 What is the remainder when 141 is divided by 5? 1 Calculate the remainder when 1492 is divided by 215. 202 What is the remainder when 280 is divided by 267? 13 What is the remainder when 10 is divided by 2? 0 What is the remainder when 698 is divided by 27? 23 What is the remainder when 598 is divided by 67? 62 What is the remainder when 5298 is divided by 31? 28 What is the remainder when 278 is divided by 33? 14 What is the remainder when 140 is divided by 83? 57 Calculate the remainder when 348 is divided by 88. 84 Calculate the remainder when 445 is divided by 152. 141 Calculate the remainder when 1022 is divided by 171. 167 What is the remainder when 76671 is divided by 16? 15 Calculate the remainder when 327 is divided by 78. 15 What is the remainder when 66 is divided by 9? 3 What is the remainder when 651 is divided by 117? 66 What is the remainder when 439 is divided by 140? 19 Calculate the remainder when 250 is divided by 78. 16 What is the remainder when 8530 is divided by 12? 10 What is the remainder when 581 is divided by 84? 77 Calculate the remainder when 440 is divided by 63. 62 What is the remainder when 638 is divided by 200? 38 Calculate the remainder when 792 is divided by 118. 84 What is the remainder when 66 is divided by 40? 26 What is the remainder when 792 is divided by 274? 244 Calculate the remainder when 167 is divided by 50. 17 What is the remainder when 27 is divided by 4? 3 What is the remainder when 156 is divided by 31? 1 Calculate the remainder when 159 is divided by 117. 42 What is the remainder when 4741 is divided by 110? 11 What is the remainder when 190 is divided by 85? 20 What is the remainder when 590 is divided by 29? 10 Calculate the remainder when 41 is divided by 6. 5 Calculate the remainder when 24 is divided by 10. 4 What is the remainder when 94 is divided by 22? 6 What is the remainder when 143 is divided by 24? 23 Calculate the remainder when 462 is divided by 84. 42 Calculate the remainder when 128 is divided by 83. 45 What is the remainder when 47 is divided by 9? 2 Calculate the remainder when 234 is divided by 82. 70 What is the remainder when 1409 is divided by 141? 140 Calculate the remainder when 368 is divided by 36. 8 What is the remainder when 910 is divided by 57? 55 What is the remainder when 531 is divided by 164? 39 What is the remainder when 160 is divided by 49? 13 What is the remainder when 137 is divided by 34? 1 What is the remainder when 47 is divided by 35? 12 What is the remainder when 333 is divided by 80? 13 What is the remainder when 674 is divided by 56? 2 Calculate the remainder when 73 is divided by 39. 34 What is the remainder when 141 is divided by 71? 70 Calculate the remainder when 2977 is divided by 271. 267 Calculate the remainder when 348 is divided by 35. 33 What is the remainder when 2637 is divided by 132? 129 What is the remainder when 205 is divided by 69? 67 What is the remainder when 397 is divided by 19? 17 What is the remainder when 7290 is divided by 51? 48 Calculate the remainder when 1827 is divided by 31. 29 What is the remainder when 7329 is divided by 52? 49 Calculate the remainder when 2366 is divided by 779. 29 Calculate the remainder when 586 is divided by 84. 82 What is the remainder when 175 is divided by 45? 40 What is the remainder when 1263 is divided by 419? 6 Calculate the remainder when 4185 is divided by 14. 13 Calculate the remainder when 236 is divided by 14. 12 Calculate the remainder when 87 is divided by 71. 16 Calculate the remainder when 334 is divided by 58. 44 Calculate the remainder when 151 is divided by 17. 15 Calculate the remainder when 350 is divided by 88. 86 What is the remainder when 252 is divided by 119? 14 What is the remainder when 387 is divided by 10? 7 Calculate the remainder when 256 is divided by 82. 10 What is the remainder when 695 is divided by 87? 86 Calculate the remainder when 6095 is divided by 64. 15 Calculate the remainder when 1706 is divided by 7. 5 What is the remainder when 120 is divided by 113? 7 Calculate the remainder when 306 is divided by 31. 27 Calculate the remainder when 137 is divided by 4. 1 Calculate the remainder when 2050 is divided by 114. 112 Calculate the remainder when 1818 is divided by 38. 32 What is the remainder when 9 is divided by 3? 0 What is the remainder when 517 is divided by 23? 11 Calculate the remainder when 485 is divided by 18. 17 Calculate the remainder when 4820 is divided by 18. 14 Calculate the remainder when 74 is divided by 22. 8 What is the remainder when 272 is divided by 71? 59 What is the remainder when 22133 is divided by 51? 50 What is the remainder when 358 is divided by 92? 82 What is the remainder when 1579 is divided by 17? 15 What is the remainder when 1484 is divided by 491? 11 Calculate the remainder when 25 is divided by 5. 0 What is the remainder when 8929 is divided by 22? 19 What is the remainder when 436 is divided by 20? 16 Calculate the remainder when 878 is divided by 161. 73 Calculate the remainder when 215 is divided by 48. 23 What is the remainder when 208 is divided by 122? 86 What is the remainder when 545 is divided by 111? 101 Calculate the remainder when 1127 is divided by 151. 70 Calculate the remainder when 93 is divided by 64. 29 What is the remainder when 195 is divided by 22? 19 What is the remainder when 337 is divided by 26? 25 Calculate the remainder when 627 is divided by 17. 15 What is the remainder when 803 is divided by 148? 63 Calculate the remainder when 226 is divided by 12. 10 Calculate the remainder when 492 is divided by 19. 17 Calculate the remainder when 479 is divided by 37. 35 Calculate the remainder when 405 is divided by 142. 121 Calculate the remainder when 998 is divided by 143. 140 What is the remainder when 11129 is divided by 105? 104 What is the remainder when 131 is divided by 66? 65 What is the remainder when 1293 is divided by 323? 1 Calculate the remainder when 112 is divided by 41. 30 What is the remainder when 924 is divided by 458? 8 What is the remainder when 279 is divided by 32? 23 What is the remainder when 489 is divided by 26? 21 What is the remainder when 352 is divided by 350? 2 Calculate the remainder when 627 is divided by 198. 33 What is the remainder when 99 is divided by 6? 3 Calculate the remainder when 14035 is divided by 260. 255 Calculate the remainder when 1193 is divided by 47. 18 What is the remainder when 8771 is divided by 12? 11 What is the remainder when 87 is divided by 19? 11 What is the remainder when 1970 is divided by 221? 202 What is the remainder when 473 is divided by 34? 31 What is the remainder when 2146 is divided by 36? 22 What is the remainder when 266 is div
{ "pile_set_name": "DM Mathematics" }
Solve -l + h = -2*r + r, 4*l - 8 = -4*r for r. -2 Suppose -2*p + a + 10 = 2*a, a = 2*p - 10. Let w = 290 + -88. Suppose w = 16*h + 154. Solve -3*o - 1 + p = y, -h*y = -4*o + 1 for y. 1 Let j be 7/8*10/(-35)*-8. Solve 5*o - o = j*i + 22, -5*o = -2*i - 26 for i. -3 Let o(v) = -2*v**3 + 24*v**2 + 5*v - 58. Let r be o(12). Solve 3*t = r*m + 21, -2*t + 2*m + 3*m = -25 for t. 5 Let o be 9*(-2)/(4/(16/(-12))). Let w be 4 - 1 - o*3/(-9). Solve w*d + 5*y = 0, -y + 2*y = 3*d for d. 0 Let s = 414 + -130. Let b = 286 - s. Solve 2*u - 2 = -b*k, -4*u = -2*u - 5*k - 2 for u. 1 Let n(o) = -o - 7. Let h(c) = -c - 8. Let m(y) = 2*h(y) - 3*n(y). Let g = 213 + -215. Let r be m(g). Solve -r*q + 13 = -v, -8 = 3*v - 7*v for q. 5 Suppose 44*l + 2*l + 414 = 0. Let d be 8/(-20)*l*(-40)/(-6). Solve -22 = -5*k + 2*c - c, 4*k - 4*c = d for k. 4 Suppose 3115*c - 3138*c + 146 = 31. Solve 0 = 3*s - c*i + 26, 18 = -16*s + 13*s + 3*i for s. -2 Let k = 130 + -70. Suppose 0 = -82*h + 87*h - k. Solve -3*l - l = -h, 4*l = -4*w + 32 for w. 5 Suppose 3*k - 27 = -o, -9*o + 5*o = -3*k + 42. Suppose k*h - 10*h + 16*h = 0. Solve h*a + 15 = -5*a - 3*z, -3*a - 25 = 5*z for a. 0 Let a be (-255)/68*4/(-3). Let u be (a - 7) + 8 + -1. Solve -2*y + 5*q = -2, 2*y + 1 = -u*q + 3 for y. 1 Let t(c) = 2*c + 12. Let i be 48/120 + 88/5. Let d be (i/(-4))/((-3)/(-4)). Let q be t(d). Solve -2*m + s - 8 = 2*s, q = 2*s for m. -4 Let n(j) = 147*j + 5886. Let b be n(-40). Solve 0 = -5*m - b*u + 23, 5*m - u + 3 - 5 = 0 for m. 1 Let h(i) = -2*i + 9. Let b be h(2). Let u = b - 21. Let y = u - -19. Solve -15 = -y*g + 4*x, 4*g - 1 = -x - 0*x for g. 1 Let p be ((-72)/30)/((-6)/15). Suppose -60 = -p*b - 42. Solve -5*n + b*l - 2*l - 28 = 0, -3*l + 34 = -5*n for n. -5 Suppose 18*s = 22*s + 3124. Let q = s + 781. Solve q = 3*c - 5*h + 40, 5 = -6*c + 4*c - h for c. -5 Let t be 4 + 0 + -5 - -1. Suppose 16*r + 123 - 2555 = t. Let j = -126 + r. Solve 0 = -v + 5, 2*b - 4*v + j = -0*b for b. -3 Suppose -2 = -2*m, -4*m = -2*v + 6*v - 12. Suppose -2*r + 3*r = 0. Solve -3*w + 5 + 10 = r, 4*t + v*w = 2 for t. -2 Let d be 2/4 - (-362)/(-4). Let a = -84 - d. Suppose 5*l - n - 20 = 0, -a = 3*l + n + 2*n. Solve 4*m + l*y = 17, 1 = 2*m - 2*y - 11 for m. 5 Let i be 27/3*6*1/9. Let g be i/(-33) + 35/11. Let o be g/(-6)*0 + 2. Solve -5*b - 3*t + 8 - o = 0, b = 5*t - 10 for b. 0 Let q = 136 + -134. Let s be (-2)/(-24) - 2530/(-1320). Solve 0 = -h - q*f - s*f, h + 2*f = 0 for h. 0 Suppose 4*t + 2*x - 28 = 0, x + x = 4*t - 44. Suppose -2*f + 7 - t = 0. Let r be f/(2 + 1) - 1/(-3). Solve 0 = -4*p + 3*u - 16, -p + 3*p - 5*u + 8 = r for p. -4 Suppose 3*q - f - 109 = 0, 11*f - 182 = -5*q + 13*f. Let s be (-9)/q*-16 - 0. Solve s*d - 4 = -v + 11, 0 = -2*d - 4*v + 18 for d. 3 Let n = 3632 + -3627. Solve 0 = 2*o - 2*l - 14, l + 19 = -n*o + 9*o for o. 4 Let x(z) = -z**3 - 77*z**2 - 73*z + 230. Let u be x(-76). Solve -3 = y + 5*f, u*y = 4*f - 3*f + 5 for y. 2 Let j(q) = -q**3 - 59*q**2 + 67*q + 426. Let w be j(-60). Solve -4*f = -4*t + w*t + 4, -4*t - 5*f = 2 for t. 2 Let k = -1621 - -1622. Solve -5*a - 17 = 4*q, 2*q + 5 = -2*a - k for q. 2 Let z(d) = d**3 - 13*d**2 + 27*d + 112. Let m be z(7). Solve 5*b - 30 = -5*w, 9*w - 4*b - 18 = m*w for w. 7 Let h be (-172)/(-7) - (-3)/7. Suppose -5*f + 2*a = h, -31 = 2*f - 9*a + 4*a. Let i be (-1)/f + (-187)/(-33). Solve -2*x = 3*r - i, 3*r = -3*x + 2*x + 9 for r. 4 Let o(y) = y**2 + 28*y - 161. Let x be o(-33). Solve 0*b = -x*b - 5*n - 9, 5*n + 37 = 3*b for b. 4 Let a be 324/(-72) + (-1)/(-2). Let d be ((-96)/108)/(1/18*a). Solve 5*q = -d*x - 17, 3*x + 4 = -2*q - 0*q for x. 2 Suppose -5*m + 65 = 5*u, 0 = -4*m + 85 - 61. Solve 2*z + 4 = 2*y, 0 = 5*y + u + 8 for z. -5 Suppose -3*h - 3 = 0, v - 3*h = 6*v - 17. Let y be v/12*1/(-2)*0. Solve r - d - 2*d = 8, y = -d - 2 for r. 2 Suppose 8*m - 152 = -72*m + 88. Solve -m*n + 18 = 3*g, -n - 26 = -5*g - 2 for n. 1 Suppose -3146 + 3126 = -4*u. Solve 5*m - 8 = -s, u*m - 25*s = -24*s + 2 for m. 1 Let i(s) = -10*s**2 - 59*s + 36. Let r be i(-6). Solve -4*k - r*t = -27*t, 14 = 2*k + 5*t for k. -3 Suppose 1092 + 554 - 128 = 69*k. Solve 0 = -2*i - 4*z + k, -5*i - 1 + 12 = -z for i. 3 Let w be 1508/182 + (-6)/21*1. Solve -3*q = 2*q - 3*i - 8, q = -i + w for q. 4 Let h be 615/41 - (11 + -3). Solve -4*p + 4*w - 21 = h*w, -2*p - 4*w = 18 for p. -3 Let z be (10 + -7)/((-3)/(-9)). Let f = z - -42. Let t = 71 - f. Solve 8*l - 3*l + t = 0, q - 3*l - 11 = 0 for q. -1 Let f(o) = -3*o + 1 + 28*o**2 + 1 - 29*o**2. Let m be f(1). Let s = m - -22. Solve -5*w - s = 0, -6*w = -u - w + 18 for u. -2 Let q(l) = l**2 + 9*l + 22. Let y be q(-2). Let f be (5/6)/((16/y)/60). Solve -v - 15 = 5*b + 4*v, 5*b - 5*v = -f for b. -4 Suppose -4*v - 3*d = -105, 65 = 3*v - 69*d + 74*d. Solve 12 = -3*n, 29*z - 5*n - 24 = v*z for z. -4 Let q = 25 + -19. Suppose q*h - 2*h + 16 = 0, -110 = 2*v + 4*h. Let y = v + 48. Solve 4*j + z = -y, 5 = -0*j - 5*j - 2*z for j. 1 Let j(w) = -22*w**2 - 549*w + 28. Let m be j(-25). Solve -m*r - 3*t = -7*r + 5, -r + 1 = -t for r. 2 Let x(m) = 11*m. Let u be x(1). Suppose -25 + u = -7*n. Suppose -5*v = -10, 5*y = -n*v + 61 - 7. Solve 2*c + 5*b = 9, -5*c - 2*b + y = -2 for c. 2 Let y be 29 - (-3)/6*-6. Let h = y - 19. Let w(z) = z**2 - 7*z + 5. Let g be w(h). Solve g*a + 3 = l, 0 = -3*l - 2*a - 5 - 3 for l. -2 Suppose 84*w - 80*w = 8. Suppose -w*a = -5*i + 320, -6*i + 128 = -4*i + 4*a. Let s = 67 - i. Solve 1 = 2*q + 5*j - 1, 3*q + j - s = 0 for q. 1 Suppose 0 = -4*z - 2*n + 16, 0*z + 2*n = -3*z + 14. Suppose -7 + 23 = 8*p. Solve p*l = -s - l - 4, z = -l for s. 2 Let n(f) = -12*f - 58. Suppose -47*s = -44*s + 15. Let l be n(s). Solve 3*h + 6 = 3, -l*c + 2*h + 4 = 0 for c. 1 Let p(t) = -t**3 - 65*t**2 + 923*t - 64. Let g be p(-77). Solve -29*m = 5*u - 28*m - g, -2*u = -3*m - 12 for u. 3 Let k = -103 + 96. Let h be (-1)/((k - -3)/16). Suppose -5*v = 5*u - 45, 0*u + 2*u = -h*v + 28. Solve -5*m = -v*j - 45, m + j - 1 = -2 for m. 4 Let i(o) = -2*o**2 - 205*o - 410. Let m be i(-100). Solve -5*j - 5*r = 10, 87*r = j + m*r + 10 for j. 2 Suppose -2*a = -4*g - 1 - 7, 2*g + 10 = 4*a. Let v = -34689 + 34694. Solve -3*o = o + a*k - 12, v*k = -o - 15 for o. 5 Suppose 4*v = -0*v + 4. Let m be v/((-38)/8 - -5). Solve -m*k - 1 = -2*j - 3, 2*k = -2*j - 14 for k. -2 Suppose 4*a + 11 = 2*t + 1, -2*a = -3*t + 15. Let v be ((-1)/(-5) - (3 - 2))*185/(-37). Solve j = v*h - 8 - 1, 23 = -2*h - t*j for h. 1 Let y = 36 + -32. Solve x - 32 = 4*i - 3*x, -y*i - 12 = x for i. -4 Let f be (((-4928)/(-33))/16)/((-4)/(-3)). Suppose -f*g + 2*i = -9*g + 14, -g + 3 = -i. Solve -4*q - 20 = -5*k + k, q - g = -k for k. 5 Let f(s) = -s**2 + 4*s + 47. Let g be f(9). Let y(k) = -k + 15. Suppose -5*h + 27 = -28. Let n be y(h). Solve -g*l + 12 = n*r, 4*l + 6 = 3*l + r for l. -2 Let d = -7254 - -7258. Solve -l - d*m = 11 - 2, -4*l = 4*m + 12 for l. -1 Suppose 0 = 156*r + 286 - 1066. Solve -16*h - 20 = -11*h + r*o, 5*h + 11 = -2*o for h. -1 Let o = 321 - 306. Suppose 4*l + 3 = 3*z - 0*l, 5*l - o = 0. Solve -4 = 5*w - r + 3, -z*w = -4*r + 13 for w. -1 Suppose -2711*j + 2714*j - t = 11, 4*j - 2*t = 12. Solve -5*m - j + 9 = 4*p, 40 = 5*m - 5*p for m. 4 Let c(i) = i**3 - 9*i**2 + 22*i - 19. Suppose 2*q - 16 = -0*q. Let k be c(q). Let r = -89 + k. Solve -s = 2*n + 3*n - 15, -s - r*n + 13 = 0 for s. 5 Suppose 12 = 4*i - 2*o, 3*i - 5*i + 4*o + 12 = 0. Solve -3*b = n + i*b + 10, 19 = -5*n + 6*b for n. -5 Let w = -245 - -249. Let m(h) = -30*h + 124. Let q be m(w). Solve 4*u = q*x + 4, -3*x = -4*x - 1 for u. 0 Let p be -15 + 34 - -2 - 13. Solve -2*h + 12*c + 2 = p*c, 5*h + 3*c - 5 = 0 for h. 1 Let z(j) = 417*j - 1243. Let k be z(3). Solve 12*v - 5*y = 14*v - k, 2*v + y = 0 for v. -1 Let c(p) = -p**3 - 2*p**2 + 1. Let w be c(-2). Let s be 3/(w - 15/24). Suppose 2*j - 12 = -s. Solve -2*n = -2*b + 14, 0*n + 3*n - 4 = -j*b for n. -2 Let r = 30347 + -30344. Solve -3*u = 3*q + r, -2*u - 7 + 5 = -5*q for u. -1 Let s be 130/1235 - ((-492)/19 + -1). Let d be (20/6)/(18/s). Solve -4*m - 2 = -3*i, d*i - 4*m - 4 - 2 = 0 for i. 2 Let o = 532 + -223. Suppose o = 5*m - 2*g - 0*g, -5*g - 174 = -3*m. Let u = 67 - m. Solve k + 6 = -2*q - 3, u*q = 2*k - 14 for k. -1 Let x(m) = m**3 - 15*m**2 - 24*m - 27. Let p be x(16). Let t = p + 165. Solve -2*a -
{ "pile_set_name": "DM Mathematics" }
the closest to -2/3 in -0.5, u, 1/7? -0.5 Let u = -18 - -15. Let w = u + 8. Which is the closest to -2? (a) 2 (b) w (c) -2/11 c Let s = -2 - -6. Let d = -3 - -3.1. What is the nearest to d in 1/6, 5, s? 1/6 Let d be ((-12)/(-7))/((-4)/(-14)). Let s = 36 + -36.4. What is the closest to 0.1 in s, -2, d? s Let w = 3 + -1. Let h = 0.05 + -0.15. What is the closest to h in w, -2, 0.4? 0.4 Let w be (-40)/75 + 1/5. What is the closest to 3 in 2/3, w, -4? 2/3 Let w = 0 - 3. Let t be (12/(-8))/(w - 0). Which is the nearest to -0.1? (a) t (b) 2/17 (c) -0.1 c Let i = -47.9 + 48. Let o = 3.3 + -3. Which is the nearest to i? (a) -2 (b) -1 (c) o c Let f = 2 + -1.95. Let u = f + 2.95. Suppose -2*v + 4 = -4. Which is the nearest to -1? (a) 0.1 (b) u (c) v a Let v = 16 + -16.9. Let k = v - -0.4. Let c = 0 + -1. What is the nearest to 0 in 3, k, c? k Suppose m + 3*z + 7 = 0, 4*z + 34 = 5*m + 12. What is the closest to m in -3, 4, 2/11? 2/11 Let w = -0.4 - -0.18. Let d = w - -0.02. Which is the closest to d? (a) -0.3 (b) -3 (c) 1 a Let o = 0.017 - 1.417. Which is the nearest to 1/2? (a) -0.1 (b) -0.3 (c) o a Let n(g) = 4*g**2 + 15*g - 5. Let r be n(-4). Which is the closest to r? (a) 0.4 (b) 0.2 (c) 1 b Let l = 1030/9 - 31984/279. Let n = l + -32/155. What is the nearest to 0.1 in -4, 2, n? n Let v = 5.11 + -0.11. Let n = -1 - -36. Suppose 4*g + 4*i - 36 = 0, 4*g + g + 3*i = n. What is the closest to 0.2 in 2, g, v? 2 Let y be ((4 + 0)/(-2) - -9) + -2. Which is the closest to 0? (a) y (b) 2/5 (c) 0.1 c Let p = -0.4 + 4.4. Let k be 4/3*185/74 - 4. Let h = -0.05 - 1.95. Which is the nearest to h? (a) k (b) p (c) -1 c Let l = -0.02 + -1.98. Let d be (1/54)/((-27)/(-12)). Let s = -472/1701 - d. Which is the closest to s? (a) 0.4 (b) -1/4 (c) l b Let q be (-8)/(-14)*7/(-28). Let s be (3 + -4)*(-1)/(-1). What is the closest to s in -0.4, 0.5, q? -0.4 Suppose 8*y = 3*y + 20. Suppose q + 5*r = -0*q + 28, -q + 23 = 4*r. What is the nearest to -1/4 in y, q, -2? -2 Let p = 0.3 + -0.2. Let m = -0.2 + 5.2. What is the closest to 0.1 in -3, p, m? p Let u = 0.45 + -0.05. Let q = u - 0. Let h = 70/3 + -23. Which is the nearest to h? (a) -1/10 (b) q (c) 0.1 b Let r(h) = -h - 8. Let v be r(-4). Let y be (-12)/(-45) + v/(-10). Let a = 0.2 - 0.2. What is the closest to a in 3, y, -6? y Let w be ((-2)/(-9))/1 + 10/90. What is the nearest to -1 in 1/20, -2, w? -2 Let i = 0.05 + 0.05. Which is the closest to -2? (a) -1/2 (b) i (c) -2 c Let o = 0.082 + 0.318. What is the closest to -8/5 in o, -0.3, 5? -0.3 Let y = 0.5 + -0.7. Which is the closest to y? (a) -5 (b) 0.5 (c) 1 b Let x = -4 + 6. Let k be x/(-9) + 56/90. Which is the closest to k? (a) 0.4 (b) -2/11 (c) -4/5 a Suppose 5*j - 23 = -2*k, 5*j - 7*k + 2*k = -5. Suppose 0 = 5*f - j - 17. Which is the nearest to -4? (a) 2 (b) 0 (c) f b Let v = 0.2 + 0.4. Let u = v - 0.5. What is the closest to 0 in 2, u, 1/4? u Let v = -6 - -6.5. Let q = -46 + 46. What is the nearest to q in -1/6, -0.4, v? -1/6 Let d be -1*4/40*-4. What is the nearest to 0.3 in d, -5, 2/11? d Let t = 10 - 4. Let r = t - 6.3. Let l = -6.1 - -6. Which is the closest to -1? (a) l (b) r (c) -4 b Let a = 8 + -4. Let j = -0.06 - -0.46. Let i = 61 + -62. What is the closest to -1/4 in i, a, j? j Let o be 2/10 + 2/40. Let r = 4.07 - 0.07. Let m = r + -4. What is the nearest to m in 2, o, 0.5? o Let d(r) = r + 9. Let t be d(-10). Let h = -5 - -3. Let n = -10 + 6. What is the closest to t in h, n, -1/2? -1/2 Let k be 32/(-20) - (-8 + 3 - -3). What is the nearest to k in -1, -3, -5? -1 Let h = 0.2 - -10.6. Let s = -0.8 + h. Let c = -7 + s. What is the closest to 0.1 in c, -0.1, 5? -0.1 Suppose 0 = 5*q - 5, -3*h + 1 = -4*h - q. Let t = 7/3 + h. Which is the closest to 0? (a) 2 (b) t (c) 0 c Suppose 5*f - 1 + 11 = 0. Let c be (-2)/5 - 639/(-60). Let t = c + -19/2. What is the closest to 0.1 in f, 4, t? t Let t = 0.3 + -0.6. Which is the closest to 2/3? (a) t (b) 4 (c) 3 a Let g = 23.859 + 0.141. What is the nearest to 2/7 in 0, 2/5, g? 2/5 Let m = -14 - -10. Let v be m*1/(-6 - 1). Let t = 397/5 - 79. Which is the closest to t? (a) -2/17 (b) v (c) 0.1 b Let d = 591.94 + -587. Let i = 0.06 + d. Let f = -5 - -3. What is the closest to -0.1 in i, f, -4? f Let v(p) = -23133*p. Let a be v(-6). Let x = a + -1806222/13. Let b = x - -142. What is the nearest to 0.2 in b, 0.1, -2? 0.1 Let d = 14.2 + -14. Suppose -c = 4*c + 390. Let s = 236/3 + c. What is the nearest to s in -3/5, d, 5? d Let x = -1 - -5. Let z = 1.7 - -0.3. Let r = 2 - 2.5. Which is the nearest to 2? (a) r (b) x (c) z c Let p = 0.7 + 2.3. Let f = 1 + p. Let l(w) = w**3 + 2*w**2 - 2*w + 3. Let y be l(-3). Which is the closest to y? (a) -0.2 (b) 0 (c) f b Let z = 3.3 + -3.3. What is the closest to 0.1 in z, 4, 0.3? z Let s = -83.6 + 84. What is the nearest to 2/9 in s, -0.2, 0.5? s Let g(u) = u**3 + 4*u**2 - 5*u - 5. Let m be g(-5). Let h = m + 7. Suppose -h*p + 6 = 5*c, 0 = -4*p - 0*p + 12. What is the closest to 0 in c, -0.2, 2? c Let i = 7.6 - 7.8. What is the closest to -0.1 in 0.5, i, -1? i Let d = -0.1 - 1.9. Let f = 2.1 + d. Let m = -0.2254 - -0.0254. Which is the closest to f? (a) -0.4 (b) m (c) -0.5 b Let w = 0.4 - 4.4. Let b = -1 + w. Let l = -5 - -3. What is the nearest to -0.1 in l, 2/11, b? 2/11 Suppose 3*t - 3*d = -6*d - 6, 0 = t + 2*d + 6. Let w = 1 - t. Let s be w*((-2)/(-8) - 0). Which is the nearest to 1/3? (a) 5 (b) 0.2 (c) s b Let a = -0.3 - -0.4. Let z = 0.3 + 0.1. What is the closest to a in -3, -1, z? z Let u = 6 + -3. Suppose 0*a = u*a + 3. What is the closest to 0 in a, -0.5, 0.3? 0.3 Suppose -2*z - 3*u = 2*u - 11, -5*z + u - 13 = 0. Let o be 0/(-2 + (2 - z)). What is the nearest to o in 2, -2/9, 0.2? 0.2 Let a = 0.2 + -0.3. Let r = -10 + 9.6. Let v be 150/189 - 2/9. What is the closest to a in r, v, -0.1? -0.1 Let m be (-5)/36 - (-48)/(-64). What is the closest to -1 in -0.2, 0, m? m Let j = -3.99 - 0.01. Let i = -0.5 - -1.5. Let h = -0.17 - 0.03. Which is the closest to i? (a) h (b) j (c) 4 a Let d = -81.5 + 83.5. Let q = 93 + -275/3. What is the nearest to 2/9 in 2/7, d, q? 2/7 Let x = 1.5 - -4.5. Let s = x + -5.5. Let d = -3.03 + 0.03. What is the closest to 0 in s, 2/19, d? 2/19 Let p = 0.04 + -0.44. What is the nearest to 1/5 in -3, p, 1/5? 1/5 Let a = -707/15 - -47. What is the closest to 0.2 in a, 0.5, 1/6? 1/6 Let l = -24.8 + 25. What is the nearest to -1/4 in -0.4, 2, l? -0.4 Let v = -0.2 - 0.3. Let n = v + 0.3. Let p = 4.5 - 4. Which is the closest to -0.1? (a) -2/5 (b) p (c) n c Let x = -87 + 90. What is the closest to -13 in 2, -0.1, x? -0.1 Let j be 125/105 - (12/14 + -1). Which is the nearest to j? (a) 0 (b) 1 (c) 2/11 b Let u = 107.6 - 108. What is the closest to -1 in 4, u, 1? u Let r = -5761.99 - -5838. Let v = r + -72. Let f = 0.01 - v. Which is the closest to 2/3? (a) -5 (b) f (c) 0.4 c Let y = 0.11 - 0.31. Let u = 1 - 0.8. What is the closest to 1 in 1/3, y, u? 1/3 Suppose 5*d = 2*n - 19, -3*d + 4 = n - 0. Let r(w) = w - 11. Let o be r(n). Which is the closest to 2? (a) 0.4 (b) 0.2 (c) o a Let s = -14.6 - -15. What is the closest to 0 in 0.5, s, 3/7? s Let j be (9/33)/((-6)/4). Let q = -9.9 + 10. What is the closest to 1/2 in q, j, -2? q Let g = 4 + -7. Let z = -7 - g. Which is the closest to 2/5? (a) 2/7 (b) -1 (c) z a Suppose 2*j - 9*j + 49 = 0. Which is the closest to -1/2? (a) -4 (b) j (c) 2/5 c Let f = 2.2 + -1.2. What is the nearest to -2 in 0, -4/3, f? -4/3 Let m = -0.05 - 1.65. Let l = m - -2.2. Which is the closest to -0.1? (a) -4 (b) -0.03 (c) l b Let k = 37 + -37.3. Let x = 2.5 - 2. Which is the nearest to -2? (a) -1 (b) x (c) k a Let g = 0.14 + -0.54. What is the closest to 0 in g, -1/2, 0.17? 0.17 Let w be 0/((-7)/42 + 22/(-12)). Which is the closest to 0? (a) w (b) 1/8 (c) -2/7 a Let x = 2.37 - -0.13. Let l = x - 3. Which is the closest to 1/3? (a) 0 (b) 1 (c) l a Let f = 56 + -55. Which is the closest to -2/3? (a) -3 (b) -2/9 (c) f b Let j = -52 + 55. What is the closest to 0.1 in 0.3, -1/7, j? 0.3 Suppose -j - 3*j - 8 = 2*w, -45 = -5*w + 3*j. Let d = 10 - w. Which is the closest to 2/7? (a) 1/5 (b) d (c) 5 a Let g = 5.03 - 0.03. Let f = -4 + 3.9. Let
{ "pile_set_name": "DM Mathematics" }
ere between 8:06 AM and 2:00 PM? 354 What is 503 minutes after 7:30 PM? 3:53 AM How many minutes are there between 11:53 AM and 5:14 PM? 321 How many minutes are there between 1:06 AM and 7:12 AM? 366 What is 679 minutes before 11:13 AM? 11:54 PM How many minutes are there between 7:21 AM and 3:14 PM? 473 How many minutes are there between 1:14 AM and 9:38 AM? 504 What is 429 minutes after 11:23 PM? 6:32 AM What is 714 minutes after 5:04 PM? 4:58 AM What is 291 minutes after 12:03 AM? 4:54 AM How many minutes are there between 10:33 AM and 10:21 PM? 708 How many minutes are there between 10:21 PM and 10:25 PM? 4 What is 526 minutes after 2:35 PM? 11:21 PM What is 391 minutes before 4:21 PM? 9:50 AM What is 341 minutes after 6:48 AM? 12:29 PM What is 238 minutes after 5:39 AM? 9:37 AM How many minutes are there between 7:02 PM and 3:48 AM? 526 What is 708 minutes after 3:25 PM? 3:13 AM How many minutes are there between 7:02 PM and 9:05 PM? 123 How many minutes are there between 2:08 AM and 1:24 PM? 676 How many minutes are there between 12:14 PM and 4:14 PM? 240 What is 672 minutes before 3:45 AM? 4:33 PM What is 505 minutes before 12:18 PM? 3:53 AM What is 646 minutes before 10:47 AM? 12:01 AM How many minutes are there between 5:12 AM and 12:22 PM? 430 What is 401 minutes after 6:01 AM? 12:42 PM How many minutes are there between 4:09 AM and 9:41 AM? 332 What is 530 minutes after 10:08 AM? 6:58 PM What is 153 minutes after 8:10 PM? 10:43 PM How many minutes are there between 2:38 AM and 2:24 PM? 706 How many minutes are there between 6:51 PM and 8:58 PM? 127 How many minutes are there between 6:42 PM and 3:16 AM? 514 How many minutes are there between 9:03 PM and 1:14 AM? 251 What is 552 minutes after 8:23 PM? 5:35 AM How many minutes are there between 11:00 AM and 6:04 PM? 424 How many minutes are there between 4:18 AM and 9:21 AM? 303 What is 697 minutes after 7:36 AM? 7:13 PM What is 480 minutes before 1:42 PM? 5:42 AM What is 318 minutes before 4:06 PM? 10:48 AM What is 517 minutes after 10:39 PM? 7:16 AM What is 44 minutes before 7:38 AM? 6:54 AM How many minutes are there between 2:58 AM and 4:55 AM? 117 What is 60 minutes before 8:03 PM? 7:03 PM How many minutes are there between 11:28 PM and 4:07 AM? 279 How many minutes are there between 9:55 PM and 5:05 AM? 430 What is 456 minutes before 3:43 AM? 8:07 PM How many minutes are there between 11:38 AM and 5:20 PM? 342 What is 165 minutes after 8:53 AM? 11:38 AM What is 20 minutes after 9:01 PM? 9:21 PM What is 616 minutes before 10:04 AM? 11:48 PM How many minutes are there between 8:21 AM and 3:15 PM? 414 What is 616 minutes before 4:15 PM? 5:59 AM How many minutes are there between 7:56 AM and 12:42 PM? 286 How many minutes are there between 6:12 PM and 6:06 AM? 714 How many minutes are there between 4:56 PM and 3:03 AM? 607 How many minutes are there between 8:31 PM and 6:12 AM? 581 What is 107 minutes before 5:17 AM? 3:30 AM How many minutes are there between 8:58 PM and 1:22 AM? 264 What is 581 minutes before 7:57 PM? 10:16 AM How many minutes are there between 11:55 PM and 8:00 AM? 485 How many minutes are there between 2:37 AM and 10:47 AM? 490 What is 154 minutes before 7:37 PM? 5:03 PM How many minutes are there between 11:26 PM and 4:05 AM? 279 How many minutes are there between 7:06 PM and 7:57 PM? 51 What is 524 minutes after 6:50 PM? 3:34 AM How many minutes are there between 2:25 AM and 4:07 AM? 102 What is 166 minutes before 12:52 PM? 10:06 AM What is 211 minutes before 1:35 PM? 10:04 AM How many minutes are there between 3:02 PM and 2:22 AM? 680 What is 67 minutes before 3:58 AM? 2:51 AM How many minutes are there between 11:33 PM and 3:59 AM? 266 How many minutes are there between 4:55 AM and 7:46 AM? 171 How many minutes are there between 5:06 AM and 3:53 PM? 647 How many minutes are there between 2:01 PM and 2:57 PM? 56 What is 705 minutes before 2:58 PM? 3:13 AM How many minutes are there between 11:58 PM and 9:01 AM? 543 What is 641 minutes before 10:38 PM? 11:57 AM How many minutes are there between 3:24 AM and 5:27 AM? 123 How many minutes are there between 3:19 AM and 6:48 AM? 209 What is 175 minutes after 11:46 PM? 2:41 AM How many minutes are there between 6:31 PM and 6:40 PM? 9 How many minutes are there between 2:13 AM and 1:22 PM? 669 What is 443 minutes after 5:42 PM? 1:05 AM How many minutes are there between 12:26 PM and 2:41 PM? 135 What is 710 minutes after 8:05 PM? 7:55 AM What is 110 minutes before 11:15 AM? 9:25 AM What is 611 minutes after 12:02 PM? 10:13 PM How many minutes are there between 6:00 AM and 6:12 AM? 12 How many minutes are there between 9:53 PM and 1:49 AM? 236 How many minutes are there between 3:17 PM and 2:20 AM? 663 What is 584 minutes after 5:27 PM? 3:11 AM How many minutes are there between 1:32 AM and 6:32 AM? 300 What is 592 minutes before 8:55 AM? 11:03 PM What is 293 minutes after 11:48 AM? 4:41 PM How many minutes are there between 2:59 AM and 12:23 PM? 564 What is 171 minutes after 9:39 AM? 12:30 PM What is 592 minutes after 7:40 PM? 5:32 AM How many minutes are there between 7:06 PM and 12:47 AM? 341 What is 514 minutes after 6:27 AM? 3:01 PM What is 454 minutes after 8:20 AM? 3:54 PM How many minutes are there between 1:42 AM and 4:53 AM? 191 What is 197 minutes after 11:34 PM? 2:51 AM How many minutes are there between 12:58 PM and 4:12 PM? 194 How many minutes are there between 7:37 AM and 12:55 PM? 318 How many minutes are there between 3:40 PM and 4:34 PM? 54 How many minutes are there between 12:57 AM and 10:16 AM? 559 What is 325 minutes before 3:25 PM? 10:00 AM What is 252 minutes after 1:26 AM? 5:38 AM How many minutes are there between 11:12 PM and 5:54 AM? 402 How many minutes are there between 6:54 PM and 5:03 AM? 609 How many minutes are there between 6:09 PM and 12:03 AM? 354 How many minutes are there between 12:49 PM and 12:09 AM? 680 What is 402 minutes after 4:27 AM? 11:09 AM What is 171 minutes before 12:50 AM? 9:59 PM What is 279 minutes after 6:50 AM? 11:29 AM How many minutes are there between 10:01 PM and 5:53 AM? 472 How many minutes are there between 11:45 PM and 10:15 AM? 630 What is 127 minutes before 5:22 AM? 3:15 AM What is 592 minutes before 12:13 AM? 2:21 PM How many minutes are there between 3:09 AM and 3:57 AM? 48 How many minutes are there between 6:42 PM and 9:16 PM? 154 How many minutes are there between 7:13 AM and 8:22 AM? 69 What is 504 minutes before 6:05 AM? 9:41 PM How many minutes are there between 9:00 PM and 6:18 AM? 558 How many minutes are there between 11:26 PM and 7:50 AM? 504 What is 40 minutes before 9:58 PM? 9:18 PM What is 670 minutes before 9:10 PM? 10:00 AM How many minutes are there between 3:13 PM and 12:11 AM? 538 What is 665 minutes before 4:14 PM? 5:09 AM What is 681 minutes after 8:08 AM? 7:29 PM What is 559 minutes before 10:58 AM? 1:39 AM How many minutes are there between 7:25 AM and 5:03 PM? 578 What is 160 minutes before 10:27 AM? 7:47 AM What is 148 minutes before 4:21 PM? 1:53 PM What is 195 minutes after 12:53 PM? 4:08 PM What is 564 minutes after 1:09 PM? 10:33 PM How many minutes are there between 2:55 PM and 12:54 AM? 599 What is 676 minutes after 1:36 PM? 12:52 AM How many minutes are there between 11:09 AM and 12:11 PM? 62 How many minutes are there between 11:53 AM and 8:41 PM? 528 What is 404 minutes before 6:12 AM? 11:28 PM What is 315 minutes after 10:28 AM? 3:43 PM How many minutes are there between 6:14 AM and 8:49 AM? 155 What is 609 minutes before 10:15 PM? 12:06 PM What is 360 minutes before 9:53 PM? 3:53 PM What is 223 minutes after 2:08 PM? 5:51 PM What is 704 minutes before 1:24 AM? 1:40 PM How many minutes are there between 7:09 AM and 3:49 PM? 520 How many minutes are there between 8:25 PM and 3:49 AM? 444 What is 50 minutes after 10:42 PM? 11:32 PM What is 401 minutes after 1:42 PM? 8:23 PM How many minutes are there between 1:23 AM and 8:49 AM? 446 What is 186 minutes before 1:37 PM? 10:31 AM How many minutes are there between 8:02 AM and 9:04 AM? 62 How many minutes are there between 9:52 PM and 10:01 PM? 9 What is 607 minutes after 1:56 PM? 12:03 AM How many minutes are there between 1:28 PM and 5:52 PM? 264 How many minutes a
{ "pile_set_name": "DM Mathematics" }
er? False Suppose -5*x + 123 = q, -2*q = 3*x + 2*q - 84. Suppose 0 = s - 3*s + x. Suppose 0 = k - s + 1. Is k composite? False Let g = -1792 - -3137. Is g a composite number? True Suppose 148*l - 5791 = 146*l + 3*u, 5*l - 14505 = 2*u. Is l a prime number? True Let k = 20 - 16. Suppose 5 = 3*n - k. Suppose 0 = -n*m + 2*x + 289, 94 = m - 2*x - x. Is m composite? False Let y be (-33)/(-2) - (-21)/(-14). Suppose 0 = -y*x + 10*x + 2855. Is x a composite number? False Suppose -3*h + 914 = 4*x - 0*x, 5*h + x = 1546. Let y = 2590 - h. Suppose 5*k = -l + 1887, y = 5*k + 3*l + 389. Is k prime? False Suppose -5*z - 15 = 0, -u - 5*z - 2 = 10. Suppose -g + 0 = u*r - 10, g = 3*r - 14. Is (-36)/r*(-74)/6 prime? False Suppose 2*y - 1112 = h + 304, 2*h = -3*y + 2131. Is y prime? True Let s(l) be the second derivative of l**4/12 - 51*l**2/2 + 28*l. Is s(-14) composite? True Suppose -4*z + 1540 = -4*t, 3*z - 1440 = -4*t - 257. Is z a prime number? True Suppose o + 53 = 3*l + 2*o, -35 = -2*l - o. Let n = 33 - l. Suppose n = -5*s - 0*s, 118 = 2*h - 4*s. Is h prime? True Is (-28863)/(-36)*(-120)/(-18) a prime number? False Is 23414/(-7)*112/(-32) a prime number? False Let q = -80 - -85. Suppose -q*t = -545 - 3540. Is t a composite number? True Let l(o) = -23*o - 7. Let b be 30/5 - 12/3. Let k(a) = a - 4. Let c be k(b). Is l(c) composite? True Let y = -21 - -75. Let u be (-26)/12 + 9/y. Is u + 9/(18/32) a composite number? True Is -4 - (-2 + 2) - (-1212 - 3) a prime number? False Let q be -2 + 12 + -4 - 2. Suppose 2*h = q*r - 2348, 4*h - 587 = -r - h. Is r a prime number? True Suppose 3*g = -y - y + 14, 5*y - 58 = 4*g. Let a(r) = 3*r**2 - 5*r + 5. Let f be a(y). Let l = f + -98. Is l composite? False Suppose -4*v = 20, 4*f + v - 4*v - 4451 = 0. Suppose 3*y - f = -4*l, -4*l = 6 - 2. Is y composite? True Suppose 0 = -9*i + 4*i + 165. Suppose 3*p - 6*p = i. Let b(z) = -2*z**3 - 17*z**2 - 11*z + 13. Is b(p) composite? False Let c = 1 + -1. Let t(a) = -a**3 + a - 205. Let r be t(c). Let f = -118 - r. Is f prime? False Suppose 5*h - 24266 = -3*u - u, 3*h = u + 14563. Suppose 2*p + 4*p - h = 0. Is p a composite number? False Suppose 0 = -22*p + 87439 + 3179. Is p a composite number? True Let k = -15 - -15. Suppose k = 2*c - 4*p - 115 - 15, -4*c + 286 = 5*p. Suppose 424 = 5*w + c. Is w a prime number? True Suppose -2*f = -4*q + 20340, 8*q - 4*q - 4*f - 20336 = 0. Is q composite? True Let a = 3479 + -1938. Is a prime? False Let s(r) = 63*r**2 + 4. Let m = 25 - 25. Let a(z) = z**2 - z - 3. Let w be a(m). Is s(w) composite? False Let c(r) = -2361*r + 32. Is c(-2) a prime number? False Let o(i) = -2095*i - 171. Is o(-4) prime? True Suppose -4*b + 795 = -449. Is b prime? True Is (7245/(-180))/(1/(-4)) a composite number? True Suppose -r - 2*x - 3*x + 357 = 0, -735 = -2*r - 3*x. Suppose -3*o = -1509 + r. Suppose 5*z = 4*z + o. Is z a prime number? True Let h(a) = a**3 - 8*a**2 - 6*a - 17. Let w = -30 + 40. Is h(w) a composite number? True Let v(f) = f**3 + f**2 + f + 163. Let d(b) = -b**2 - 7*b - 6. Let h be d(-6). Suppose h = -3*y - y. Is v(y) a prime number? True Let x be -2 + 1 + (6 - 1). Let r = 6 - x. Is (3/(-3))/(r/(-194)) a prime number? True Let i(w) = -3*w**2 + 12*w. Let n be i(6). Let q = -17 - n. Is q prime? True Let m = 5727 + -2163. Let n = -2315 + m. Is n a composite number? False Let w(u) = -u + 5. Let h be w(-5). Suppose h*c - 2317 = 3*c. Is c a composite number? False Suppose 0 = -19*z + 7*z + 162732. Is z a prime number? False Let v be (-27)/45 + (-363)/(-5). Suppose -c - 187 = 5*m, c + v = -2*m - 109. Let u = c - -272. Is u a prime number? False Let p = -19 - -11. Is 2008/p*(2 + -1)/(-1) a composite number? False Is 121083/2*90/135 prime? True Let v(a) = -a**2. Let k be v(-3). Let h be 18 - 4/(12/k). Let t = 70 + h. Is t prime? False Let d(f) = -2*f**3 - 22*f**2 + 27*f + 16. Is d(-15) composite? True Let k be (-3720)/(-18) - 4/6. Suppose -c - 5 = -5*b - 6*c, -b = -5*c - 19. Is b/16 + k/8 prime? False Let b = 20735 - 996. Is b composite? False Let q(u) = u. Let d(k) = -29*k - 9. Let j(s) = d(s) - 3*q(s). Is j(-7) a composite number? True Suppose 2*a = 1 + 3. Suppose j - 108 = a*j. Is (-4010)/(-18) - 24/j composite? False Suppose 2*a = 6*a + 12, 4*j + 5*a = 21. Let h = j - 21. Is 5*(-141)/(h/4) a prime number? False Let r = 30 + -24. Is (r/9)/((-4)/(-894)) composite? False Let v = 73930 - 41391. Is v a prime number? False Let i(v) = 33*v + 14. Let l(o) = -66*o - 27. Let r(z) = -5*i(z) - 3*l(z). Is r(12) prime? False Let d(l) = -2*l**3 + 6*l**2 + 4*l + 45. Is d(-11) prime? True Suppose -i = -2, -4*v + 3*i + 2 = -0. Is 810/4 - 3/(-12)*v a prime number? False Suppose -7*h + 3*h = -1004. Let w = 169 - h. Let z = -59 - w. Is z a prime number? True Let x = -9 - -6. Let m be 5 + (-6)/(-9)*x. Is 178/m + 6/(-18) composite? False Let a be 2/4*(-2 - -8) - -632. Suppose -3*g - a = -8*g. Is g composite? False Let n(g) = 6978*g**3 + 16*g**2 - 32*g + 5. Is n(3) prime? True Let t(m) = m**2 - 6*m - 3. Let d be t(7). Suppose d*o - 1586 = 906. Suppose 0 = 3*n - o - 154. Is n composite? True Suppose -22 + 14 = -8*s. Is ((-2819)/(-2))/(s/2) a prime number? True Let d(m) = 24 - 52 + 17*m + m**2 + 57. Is d(-20) a composite number? False Let s(c) = -3*c - 5. Let x be s(-3). Let p be 1756/(-6)*6/x. Let y = -180 - p. Is y composite? True Is (-3 + 2)*(-4322 + -15) a prime number? True Suppose -v - b = 4*v - 10342, -3*v + 4*b + 6196 = 0. Let s = v + -1167. Is s composite? True Is 3535348/(-246)*(-6)/4 a prime number? True Let l(t) = -36*t - 1. Suppose 0 = -2*b + 3*b + 5. Let i(s) = -18*s - 1. Let z(p) = b*i(p) + 2*l(p). Is z(3) a composite number? True Let q(a) = -a**3 - 7*a**2 + a + 1. Let s be q(-7). Let z be 24/s - (-1559 - 2). Let u = -764 + z. Is u composite? True Let a(l) = l - 7. Let w be a(11). Suppose w*r = 12, 5*r = 5*f + 2*r - 4336. Is f a prime number? False Is 3 + 2*(-6 + 9 - -121) composite? False Let g(y) = 6 - 6*y + 3*y - 4*y - 2*y. Let r be g(10). Is 178/(-4)*r/6 a composite number? True Let k(l) = 46*l + 63. Is k(5) prime? True Let a = -12 + 14. Suppose -3*z = 3*t - 24, 2*t + a*t = -2*z + 24. Suppose -2*x - 5*d + 38 = x, -4*x + 40 = t*d. Is x a prime number? False Suppose -2*c + b = -16420, -19*c - 32842 = -23*c + 3*b. Is c composite? False Suppose -109*f + m = -107*f - 10321, -4*f + 20646 = 2*m. Is f composite? True Let y = -43 + 17. Let a = y - -61. Is a prime? False Let i(f) be the second derivative of f**5/20 - f**4 + 7*f**3/3 - 18*f**2 - 11*f. Is i(15) a composite number? True Let n(p) = p**2 - 2. Let l be n(-2). Suppose 2*t + 24 = -4. Is (-687)/(l - t/(-4)) a composite number? True Is (-26)/117 - 784599/(-27) a composite number? False Let d = 9 - -54. Suppose 2*u = 3*a + 92, -5*u + 104 = -3*a - 0*u. Let h = d + a. Is h a prime number? False Suppose 3*g + 25 = -2*g. Let i be 386 - g/(15/(-12)). Suppose 45 = -y + i. Is y composite? False Suppose -3*d + 2085 = -2*b, 0 = 12*d - 16*d - 5*b + 2803. Is d composite? True Is 84/(-28) + 332/1 a composite number? True Let s be (-1)/3 - 4265/(-15). Let n = s + -2. Let u = n - 28. Is u prime? False Suppose -4*a = -5*a + 5*v + 71931, -4*a + 287766 = v. Is a composite? False Suppose -2 = 5*p + 3. Let r be 12/4 + (-1 - p). Suppose r*b - 723 = 534. Is b prime? True Is 8*456*1 - 1 prime? False Let x = 2997 - 2043. Let y = -559 + x. Is y prime? False Let v be (-3 + 2/2)*2. Let d(q) = -26*q + 7. Is d(v) prime? False Let z(u) = 32913*u + 6. Is z(1) composite? True Let g(x) = -969*x**3 + x**2 + 2*x + 5. Is g(-3) composite? False Let m = 200 - 114. Let q be (-8)/20 + m/(-10). Is (-5)/(-15) + (-4326)/q prime? False Let t = -571 - -1746. Suppose 3*r + 2*r - t = 0. Is r composite? True Let t(x) = 10*x**3 - 2*x**2 - x. Let o be t(-1). Let k = o + 15. Let u(a) = -a**3 + 6*a**2 - 4*a - 5. Is u(k) a composite number? False Let p = 7 + -7. Is -5 + (1719 - (p + 5)) composite? False Suppose -4*z + 16 - 4 = 0. Let d be 3668/z + 2/(-3). Suppose -d = -5*m - 427. Is m a composite number? True Let k(n) = 24*n**2 - 3*n + 46. Is k(7) a prime number? True Suppose 10410 = 28*p - 2834. Is p a prime number? False Suppose 10*f = 924734 - 354364. Is f prime? True Let u(p) = -p**2 + 8*p - 3. Let v be u(7). Let i = v + -4. Suppose 3*m - 299 + 62 = i. Is m a c
{ "pile_set_name": "DM Mathematics" }
-w = w + 2. Let c be -5*(-14)/(-2)*w. Solve -5*v + c = -5*t, -4*t - 5*v = -3*t - 23 for t. -2 Let q = -29 - -32. Solve q*c + c - 11 = a, 3*a + 5 = -2*c for c. 2 Suppose d - 3*d = -4. Let r(h) = h**2 + 1. Let p be r(d). Solve 0 = -4*y - p*v - 25, -v = -y + 3*v - 1 for y. -5 Let i be 18 + -22 + 3 + 2/2. Solve 2 = -i*z - z + 2*t, 0 = 2*z + 3*t + 4 for z. -2 Suppose -6*x = -2*x - 20. Solve 0 = 5*b - 3*o - 15 + 45, x*o = 5*b + 40 for b. -3 Let p(s) = -11*s + 1. Let k be p(1). Let i = -5 - k. Let v be 4/(-20) + 41/i. Solve 2*r = -3*w - 0*w - v, -4*r = -3*w + 16 for r. -4 Suppose 0*m - m + 4 = 0. Let d be 3 + (3 - m/2). Solve -r - 21 = -0*z - 5*z, 16 = -d*r + 3*z for r. -1 Suppose -3*i - 29 = 5*g, -3*g - 4*i - 4 = 20. Suppose 1 + 3 = -d. Let y = g - d. Solve -h + w + y*w = 3, -5 = -w for h. 2 Let n be 21/(-3)*40/(-70). Solve -19 = 4*h - o, 4*o + 27 - 3 = -n*h for h. -5 Let x = 7 + -4. Suppose 0 = t - 1 - x. Suppose -5*u = -t*u - 4. Solve 12 = u*c, -w + c + 0 = -1 for w. 4 Let x(h) = h**3 - 6*h**2 + 7*h - 8. Let u be x(5). Solve 3*g - 2*q - 6 = -0*g, 11 = u*g + q for g. 4 Let t(y) = -y**3 - 4*y**2 + 4*y - 5. Let q be t(-5). Suppose -8*v + 7*v = q. Solve v = -0*o - 4*o - 4*x + 20, -3*x + 5 = -2*o for o. 2 Suppose -8 = 3*b - 20. Suppose z = b*a - 2*a + 4, 4*a + 4 = 4*z. Let c = a - -10. Solve 5*w + 15 + 22 = 4*y, -y = 2*w + c for w. -5 Let p be 1 + -1*(4 - 3). Solve 5*u - 1 = -h, p*h = -2*h + 2 for u. 0 Suppose 3*w = 4*q + 6 + 11, -5*w + 5*q + 35 = 0. Let j(i) = i**3 - 10*i**2 - 10*i - 7. Let z be j(w). Solve z*f - 2*d + 6 = 0, 5*f + d - 2*d = 0 for f. 1 Suppose -5 = u - 14. Let h = -7 + u. Solve 1 = k + k - 5*r, 0 = h*k - 4*r for k. -2 Let j = 26 + -24. Let r be (-4)/(1 - j) - -1. Solve 2*y + 4*s = 22, -r*y = 6*s - s - 35 for y. 3 Suppose 4*g = -t - 7, -5*t + 0*g = g - 22. Suppose 0 = 5*r + 3*d - 13, -34 - 6 = -4*r + t*d. Solve r*p + i + 24 = 0, 0 = -5*p + 2*i + i - 28 for p. -5 Let o = 19 - 14. Solve -3*k + 6 = -5*k - u, 3*k + 2 = -o*u for k. -4 Let j(a) = a**2 + 9*a - 6. Let s = -15 + 5. Let f be j(s). Solve -5 = -5*h, -5*z + h = -f*h + 20 for z. -3 Let x = 15 + -11. Suppose -2*b + 2*a - x = -4*b, 0 = 4*b - 4*a. Suppose b - 7 = -2*r. Solve -m + 2*t = -3, 0*m = -r*m + 3*t for m. -3 Let z be 1*(6/3 - 0). Let b = 290 + -170. Suppose 28 = 2*j + 3*l, 7*j - b = 2*j + 5*l. Solve -5*o = -z*d - j, -5*d - 4 = -o - 0 for o. 4 Suppose 3*l = -l - 32. Let k be 0 - (l + 2) - 2. Suppose -u + 40 = 5*d + k*u, -d = -u. Solve -6 - 14 = -d*s + 4*f, -5*s + 25 = f for s. 5 Let y(j) = 5*j - 10. Let v be y(3). Solve -5*f + 20 = -v*h, 0 = -2*h - 5 + 3 for f. 3 Let k(b) = b**3 + 5*b**2 + b + 7. Let j be k(-5). Suppose -3 = u - j*u. Solve 0 = u*p - 12, -o - p + 0 - 1 = 0 for o. -5 Let v(w) = -5*w + 1. Let p be v(-1). Let d(i) = -2*i - 2*i + p*i + i. Let r be d(1). Solve o = r*y + 4*o + 30, 4*y = 5*o + 5 for y. -5 Let k be -3*(-2 + 3 + -3). Suppose -3*n + 9 + k = 0. Solve 3*u + 15 = n*f, -15 = u + 2*u for f. 0 Let o = 4 + 0. Suppose -o*d - d = 45. Let w = -5 - d. Solve 0*m + 3*a = -3*m + 3, -w*m = 2*a for m. -1 Let c(l) = l**2 - 5*l - 10. Let i be c(7). Let a be (-4)/(-3)*6/4. Solve 3*q - 12 = 0, q = i*y - a*q + 8 for y. 1 Suppose 8*n - 6*n = 8. Solve -12 = -2*v - 0*v + 5*z, -n*v = -5*z - 4 for v. -4 Let q = 19 - 17. Solve 4*x + 17 = -q*v + 3, -5 = -v + x for v. 1 Let c be (-34)/(-6) + 2/(-3). Solve 5*z + c = -4*u, -3*u - 3*z + 2 = -5*z for u. 0 Let p(z) = 4*z**2 + 8*z + 5. Let l(q) = 2*q**2 + 4*q + 2. Let r(n) = -5*l(n) + 3*p(n). Let k be r(-2). Solve -20 = -2*u - 3*w, k*u - 2*w = 10 + 2 for u. 4 Suppose -5*q + 23 = 2*x, -3*x + x - 2*q = -14. Suppose -3*n - 2*n - 4*f = 17, 2*f + 1 = -n. Let i = 10 + n. Solve -x*m - 40 = 5*v, i*v - 2*m - 2 = -12 for v. -4 Let s be 7 + (-18)/6 + 2*2. Suppose 0 = -4*r + k - 8 + 1, 3*r = 2*k - 9. Let p be 0/(1/r*-2). Solve -4*o + 2*b + 0 = s, p = -2*o - b for o. -1 Suppose -20 = 4*b, -3*o = -2*b + 5*b - 6. Let s be 2*(-1)/3*-6. Solve 4*z + o*i - 3*i = -16, -i + s = -z for z. -4 Suppose -3*i + 3 - 9 = 0, -v - 3*i = 6. Suppose a = 4*a - 9. Solve v = -0*x + 3*x + 4*p + 11, -17 = 4*x + a*p for x. -5 Let o = -43 - -45. Solve 0*c + c = -j - 4, 0 = -2*j + 3*c + o for j. -2 Let r(w) = w**3 - 2*w**2 - 4*w + 3. Let m be r(3). Let x(v) = v**2 + 6*v + 5. Let h be x(-4). Let g be -2*3/6*h. Solve g*y - 1 = -2*s, y + m*s = -3*s + 5 for y. -1 Let s = 9 - 7. Solve 2*a + 2 = 2*h - 0*a, -s*h - 3*a = 23 for h. -4 Suppose 0 = -4*v + v. Suppose v = -0*u + 2*u - 22. Suppose -5*s - 1 = -u. Solve -4*y + t = y - s, 0 = -2*y - 5*t - 10 for y. 0 Suppose -2*c + 20 = 3*c. Let x be c - 1 - (-1 + -1). Solve 4*a = 4, -a + 12 = -x*n + a for n. -2 Suppose 0 = 4*l + 3*k + 11, 5*l = 2*k + 2*k + 25. Let i be ((0 - 3) + 8)*l. Solve -w + 1 = 0, 0 = -3*g - 3*w + 13 + i for g. 5 Suppose 41 = 4*i + 33. Solve -k - r = 0, -2*k - 4*r = k - i for k. -2 Let y = -5 - -5. Let s be (y - 1) + 9 + -5. Solve -x = -c + 2, c + 3*c + 13 = -s*x for x. -3 Let z be (-5)/(-20) + (-54)/(-8). Suppose -z = -2*c + 1. Solve c*n + 2*j + 2 = -0*n, n = 3*j - 4 for n. -1 Let p(j) = j**2 - 9*j + 10. Let l be p(8). Solve -l*z - 6 = 4*m, 5*z + 4*m + 1 = m for z. 1 Suppose z - k + 11 + 14 = 0, -30 = 2*z + 2*k. Let i = z - -20. Solve 4*b = -t + 7 - i, -b - 4*t + 13 = 0 for b. 1 Let r = -2 + 4. Suppose -o = b + 2, -6*b + b + o + 8 = 0. Let x be 5 + 2/(b*-2). Solve -4*c + x*w + 0*w - 4 = 0, 0 = -r*c - 4*w - 14 for c. -3 Suppose -2*o + 4*l - 9 = -1, 5*o - 40 = -5*l. Let q be ((-55)/(-10))/((-2)/(-4)). Let w = -8 + q. Solve 0 = o*k - 0*m - m - w, m - 7 = -k for k. 2 Suppose 20 = o + 4*o. Let j(p) = -p + 2*p + 2 + o. Let s be j(-3). Solve -2*x - 3*k = 2*x - 17, 9 = s*k for x. 2 Let b(o) be the first derivative of 2*o**3/3 - 3*o**2/2 + o + 2. Let c be b(2). Let x be (36/10)/(3/10). Solve c*z = -2*f + x, 4*z - 8 = f + 8 for f. 0 Let a = 1 + 3. Solve 2*m + 4*g = -g, a*m + g - 18 = 0 for m. 5 Suppose 2*w + 0*w = 4. Let t = 4 - w. Solve -l + 5*u + t = 2*l, -u - 2 = l for l. -1 Let w = 12 - 8. Suppose 3*f = 3*n, -4*n - w*f + 21 = -f. Suppose -n*m + 32 = m. Solve 2*r - g = -m, 3*r + 4*g = 2*r - 13 for r. -5 Let c(l) = -3*l - 1. Let p(s) = 3*s + 2. Let h(b) = -5*c(b) - 4*p(b). Let f be h(7). Suppose 2*z + z = 51. Solve 4*t + 5*v = -z, t - 2*v = -3*t + f for t. 2 Let j = 45 + -41. Suppose 44 = 5*q - q. Solve j*b - 1 = -o - 2, -q = -b + 2*o for b. 1 Suppose 5*m + 3 = 13. Solve 0 = 5*i - 0*i - 3*l + 25, 0 = m*i + 2*l + 10 for i. -5 Let l be 9/(-2)*(-2)/3. Solve l = -3*a, a + 16 = 5*j - 0*a for j. 3 Suppose 5*w = 5*i - i + 40, -3*w + 24 = -3*i. Suppose 2*b = 2 + w. Suppose b*a = -3 + 18. Solve 0 = y - 4*q - 12, 5*y - a*q = q - 4 for y. -4 Let x be (-3 - -2) + 0 - -21. Suppose -2*y + x = 5*i, 5*i = 3*y - 2*y + 5. Solve -y*q + 40 = -5*j, 0 = 2*j + 5*q - 3*q - 4 for j. -3 Suppose 5*i - 4*n + 9 - 42 = 0, 4*n + 13 = i. Suppose 0*w = 2*w + 4*m - 16, -i*m + 19 = 2*w. Suppose 8 + 7 = 3*b. Solve -2*u - 24 = -b*t, 6*u = w*u - 8 for t. 4 Let a = -87 - -95. Solve 4*i + a = 3*c + 4, 3*i = -4*c - 28 for c. -4 Let n be 4/18 + (-208)/(-36) - 0. Solve c = -c - 5*w + 3, -w = -5*c - n for c. -1 Let a be 1/(3/(-4) - -1). Suppose -3*c = z - 5*z - 8, 4*z + 16 = 5*c. Let b = 0 - 0. Solve -5*l + 4*y + 13 = b, l + c*y + 3 = a*l for l. 5 Suppose 3*x = -4 + 16. Suppose x*y = -5*v + 41, -5*y + 15 = -0*v - v. Solve -w + v*k = -0*k - 12, -w + 10 = -4*k for w. 2 Let y be (-8)/(-2) + 0 - -16. Solve 3*q = l + 10, 3*q - y = -2*l - q for l. 2 Suppose -t + 4 = -3*t. Let j be (-438)/(-14) + t/7. Solve 3*b + 2*b + 29 = -a, -4*a - 3*b = j for a. -4 Let d be 18 + (1 - 1 - 3). Solve -3*k + 2*g = 25, d = -2*k + 3*g - 2*g for k. -5 Suppose -2*d = -0*d - 376. Let g be 2/(-9) - d/(-36). Solve -4*n - g*h = -45, 2 + 8 = -3*n + 5*h for n. 5 Let k(r) = -4*r + 17. Let n(s) = -17*s + 68. Let y(d) = 9*k(d) - 2*n(d). Let h be y(7). Solve 10 = -p + 3*p - 3*c, 15 = h*p + 5*c for p. 5 Let x be 2/(-1) + (7 - 0). Suppose 0 = -x*h - 5*n + 5, 0 + 7 = 3*h + 2*n. Solve 4*o - s + 5*s - 20 = 0, -h*o + 13 = -s for o. 3 Suppose 3*y = 4*y - 3*u, 4*y = -2*u + 28. Let s be y/9*(-18)/(-4). Suppose 0 = -5*x + 6 + 9. Solve 0 = -s*f - 2*i + 9, 5*i - 2*i = x*f + 6 for f. 1 Let v be 2/(2*3/(-12)). Let k(q) = q**2 + 3*q - 1. Let r be k(v). Suppose 19 = 2*z - r*z - 5*l, -45 = -5*z + 3*l. Solve z - 2 = i, -3*
{ "pile_set_name": "DM Mathematics" }
units digit of v? 5 Suppose 4*k - 5*k + 224 = 0. What is the hundreds digit of k? 2 Let q = 1 - 2. Let g = -9 - q. What is the units digit of (-36)/g + (-2)/4? 4 Suppose -2*v + 3*v - 4*w - 16 = 0, 3*v - 2*w = -2. Let z(q) = -q**2 - 7*q + 3. What is the tens digit of z(v)? 1 Let s(o) = -o**3 + 11*o**2 - 5*o - 14. Let x = 23 - 13. Let k be s(x). Let u = k + -23. What is the tens digit of u? 1 What is the units digit of 145/3 - 18/(-27)? 9 Let j(k) = -2*k - 1. Let i(y) = y**3 - 8*y**2 - y + 7. Suppose r + 8 = 2*r. Let a be i(r). What is the units digit of j(a)? 1 Let a = 100 - 49. What is the tens digit of a? 5 Let k = -6 + 1. Let h = k - -8. Suppose j + 5*a - 6 = -j, -h = -j - 5*a. What is the units digit of j? 3 Suppose 2*l - s - 150 = 0, 3*s = l + 3*l - 302. What is the tens digit of l? 7 Suppose 6 = 5*f - 3*f. Suppose 3*d + 30 = i, 4*i - 84 = -0*d + f*d. What is the tens digit of i? 1 Let p = -6 - -1. Suppose n + 3 + 2 = -4*m, m + 80 = 5*n. Let f = p + n. What is the tens digit of f? 1 Let v(f) = -f + 6. Let h be v(6). Let p = h - -3. What is the units digit of p? 3 Let d(n) be the second derivative of 2*n**4/3 + n**3/6 + n**2/2 + 7*n. What is the tens digit of d(-2)? 3 Let d = 56 + -16. What is the tens digit of d? 4 Suppose -5*t = 2*o + 23, -7*t - 16 = o - 3*t. Let a = o + 6. Suppose -3*v - a*v + 60 = 0. What is the tens digit of v? 1 What is the tens digit of 45/36*-4*(-1 - 20)? 0 Suppose 2*k - 12 = 2*n, 3*k + 6 = 4*n + 5*k. Let q = n - 2. What is the units digit of q*(-1)/6*2? 1 Suppose 2*k + 0 = 2*i + 14, -5*k = 2*i - 14. Let b = -118 + 188. Suppose 2*q - 24 = -k*d, -d = 5*q + 4*d - b. What is the units digit of q? 6 Suppose 2*h - 174 = -h. What is the units digit of h? 8 Let x = 774 - 411. What is the hundreds digit of x? 3 Let t be 5/3 - (-6)/18. Suppose t*c = 3*c + 5*x + 12, 0 = -2*c - 2*x + 16. What is the units digit of c? 3 Let h(x) = -x**2 - 5*x - 6. Let n be h(-5). What is the units digit of 2/n - 19/(-3)? 6 What is the units digit of (-178)/(-8) + (-6)/(-8)? 3 Let o be 2*1 + 34/(-2). Let z = -5 - o. What is the units digit of z? 0 Let b(o) = -o**2 + 5*o - 1. Let g be b(6). Let v = -3 - g. What is the units digit of v? 4 Let u(c) = -158*c - 3. What is the tens digit of u(-1)? 5 Let g(s) = -s**2 - 5*s - 2. Let p be g(-4). Suppose p*y = 5*y - 15. Suppose 4*l + t - y*t - 16 = 0, 56 = 5*l + 4*t. What is the units digit of l? 8 Let k(d) = -d**2 - 8*d + 5. Let x = 4 + 3. Let b = x - 15. What is the units digit of k(b)? 5 Let k be ((-2)/(-3) + 0)*3. Let v = 43 + -29. Suppose -v = -c + k. What is the units digit of c? 6 Let y(j) = j**3 + 7*j**2 + 5*j + 8. Suppose 0 = 5*d - 0*d - 10. Suppose -p = 4 + d. What is the tens digit of y(p)? 1 Suppose -18*r - 980 = -25*r. What is the tens digit of r? 4 Let u(d) = -10 + 3*d**2 - 2*d**2 - 3 + 2*d + 2. What is the tens digit of u(-8)? 3 Let x = 6 - -2. Let g = x + -5. Suppose 5*u - g - 14 = 4*v, -5*v = -2*u. What is the units digit of v? 2 Let t = 4 - 7. What is the units digit of (-5)/(-1) - t - -2? 0 Let v(i) = i**3 - 11*i**2 + 12*i - 14. Let x be v(10). Let h be 10 + (-2)/x*-3. Suppose 5*s + c + 2 = h, -5*s + 1 = -c. What is the units digit of s? 1 Let k = -11 + -31. What is the units digit of k/(-10) - (-6)/(-30)? 4 Suppose 0 = 20*a - 26*a + 960. What is the tens digit of a? 6 Let x = -1 + 3. Let i = 3 - 0. Suppose 2*a = i*a - x. What is the units digit of a? 2 Let r be (3 - (-1 - -87)) + 0. Let h = r + 121. What is the tens digit of h? 3 What is the tens digit of ((-3)/9)/(2/(-198))? 3 Let a(i) = -4*i**3 - i**2 + 3*i + 3. Let z(j) = -j - 10. Let u be z(-8). What is the units digit of a(u)? 5 Let k(m) = 14*m - 5. Let q(u) = -5*u + 2. Let i(w) = 6*k(w) + 17*q(w). Let r = 2 + 0. What is the units digit of i(r)? 2 Let k(c) = c + 3. Let l be -6*4/(-18)*-15. Let y be l/(4/(-2)) - 2. What is the units digit of k(y)? 1 Let d be -2*2/8*-30. Suppose 2*v = -v + d. What is the units digit of v? 5 Let m(d) = -d**3 + 5*d**2 - 3*d - 1. Let i be m(4). Let a be 2 + -5 - (-5 + i). Let c(q) = 14*q**2 + q + 1. What is the tens digit of c(a)? 1 Let t(i) = -2*i + 6. Let w be t(6). What is the units digit of ((1 + 1)*w)/(-1)? 2 Let a = -128 + 504. What is the units digit of a? 6 Suppose -2*m - 122 = 4. What is the units digit of (-77)/m + 2/(-9)? 1 Suppose -m - m + 4 = 0. Suppose -3*s + 4*f + 28 = m*s, 0 = -4*s - 5*f + 47. Let b = s - 0. What is the units digit of b? 8 What is the units digit of 355/3 - 12/(-18)? 9 Let q(r) = -10*r + 1. What is the tens digit of q(-1)? 1 Suppose 0 = -w + 5*w. Suppose -4*v + 44 = -w*v. What is the tens digit of v? 1 Suppose -5*t + 112 = -t. What is the units digit of t? 8 Suppose -2*j + 4*o + 9 = 93, j + 4*o = -60. What is the tens digit of (j/9)/((-3)/9)? 1 Suppose 4*k = -3*t + k + 3, -15 = t + 5*k. Suppose 7*p = 2*p + 2*m + 44, -p - 2 = t*m. What is the units digit of p? 8 Let d be 6*((-15)/(-2))/3. Let f be -3*d/(-9) + 1. What is the units digit of ((-36)/8)/(f/(-8))? 6 Let t be ((-4)/6)/(6/18). Let h be (2 + 6)/(t/(-11)). Suppose 5*y - y = h. What is the tens digit of y? 1 Let r = -7 + 12. Suppose i - 2 = -g, 3*g + 1 = -2*i + r. What is the units digit of i? 2 Let j(w) = -w**3 + 6*w**2 - w - 4. Let b be j(3). Let l(s) = s**3 - 7*s**2 + 3. Let k be l(7). Suppose k*n - 5*n = -b. What is the tens digit of n? 1 Suppose -14 = -5*m + 2*u + 1, 0 = -3*m + u + 10. Suppose -m*p - 31 = -2*j, -4*j - 3 = 2*p + p. Let o = -1 + j. What is the units digit of o? 2 What is the units digit of (29 + -32)*94*1/(-3)? 4 Suppose -10*k + 256 = -8*k. What is the units digit of k? 8 Let h(z) be the first derivative of z**3/3 + 2*z**2 + 2*z - 7. What is the tens digit of h(5)? 4 Suppose -4*k = -0*r - 5*r - 63, 3*k = -3*r + 27. Suppose 0 = -4*i + k, 2*q - i + 14 - 53 = 0. What is the units digit of q? 1 Let i = -7 - -3. What is the tens digit of ((-78)/i)/((-4)/(-8))? 3 Let b = -8 + 14. What is the units digit of b? 6 Let h(o) = -2*o. Let m be h(6). Let b = 4 - m. What is the units digit of b? 6 Let b(t) = -t**2 + 5*t - 3. Suppose 16 = 2*f + 4. Let j be b(f). Let q(n) = n**2 + 7*n - 4. What is the units digit of q(j)? 4 Let y = 31 + -14. What is the tens digit of y? 1 Let i(s) = -s**3 - 13*s**2 - 20*s + 1. What is the units digit of i(-12)? 7 Suppose l + 20 = 3*k, 5*l = 5*k - 3*k - 35. Let i = -18 + 15. Let m = i + k. What is the units digit of m? 2 Let p be 40/(-50)*5/(-2). Suppose -x + 17 = -p*w + 3, 58 = 2*x + 2*w. What is the tens digit of x? 2 Let i = -5 - -5. Let h(w) = w**2 + w + 3. What is the units digit of h(i)? 3 What is the units digit of 2 + (11 + -3)/4? 4 Let m = -27 - -128. What is the units digit of m? 1 Suppose 0 = -5*x - 2*g + 92, 84 = 5*x - 3*g + 7*g. Suppose -4*s + 9*s = x. Suppose -s*p + j + 15 = p, p - 3*j = -11. What is the units digit of p? 4 Let z = -1 + 6. Let x = z - -15. What is the tens digit of x? 2 Let t = -32 - -14. Let y = 53 + t. What is the tens digit of y? 3 Let v(s) = -6*s + 5. What is the units digit of v(-6)? 1 Let k(j) = -2*j + 8. Let p be k(-8). Suppose b + p + 51 = 0. What is the units digit of ((-12)/(-15))/((-6)/b)? 0 Let y(p) = p**3 - 3*p**2 - 4*p. Let q be y(-3). Let x = -25 - q. What is the units digit of x? 7 What is the hundreds digit of (-126)/(-96)*124 - 1/(-4)? 1 Suppose -5*h + 2*i = -238, 2*i + 3 = -5. What is the tens digit of h? 4 What is the tens digit of 25/15*(-2)/(-10)*951? 1 Let j(w) = -1 - 1 + w - 6. Let k be j(7). What is the units digit of (2 - k)/((-1)/(-1))? 3 Let d(u) = 3*u - 2. Let y be d(2). Suppose -2 = -2*q - 2*o + 2, 0 = -q + y*o - 18. What is the units digit of ((-8)/5)/(q/10)? 8 Suppose -4*o + 0*o - 48 = 0. Let b(t) = t + 7. Let n be b(-16). What is the units digit of (1 + 15/n)*o? 8 Suppose 0 = 4*w - w - 12, -2*o - 5*w + 28 = 0. Suppose 53 = 3*c - 5*l - 91, o*l = 4*c - 192. Suppose c = j + 3*j. What is the tens digit of j? 1 What is the units digit of 2/(-8) - 37/(-4)? 9 Let m be 1/(-2) - (-22)/(-4). Let u(x) = -5 - 5*x**2 + 9*x**2 + x**3 + 5*x + 3*x**2. What is the units digit of u(m)? 1 Let f be (2/(-8))/((-2)/56). Let i(x) = 3*x + 9. What is the tens digit of i(f)? 3 Suppose x + 4*y - 440 = 0, 7*y - 1720 = -4*x + 11*y. What is the units digit of x? 2 Let u(d) = d**2 - 6*d + 1. Let a be u(9). Suppose t = a + 27. What is the ten
{ "pile_set_name": "DM Mathematics" }
*2 - 5*v - 48. Let i(j) = j**2 + 6*j + 55. Let g(s) = 8*c(s) + 7*i(s). Give -5*g(u) - 2*x(u). -u**2 + 1 Let d(m) = -3*m**3 - 33*m. Suppose -481 = -2*r - 349. Let j(x) = -x. Determine r*j(b) - 2*d(b). 6*b**3 Let c(n) be the first derivative of 3*n + 3/2*n**2 - 3. Let r(h) = -56 + 0*h + 4*h + 60. Calculate -5*c(t) + 4*r(t). t + 1 Let v(s) = 28*s**2 - 23*s - 11. Let x(j) = -19*j**2 + 15*j + 7. Determine -5*v(h) - 8*x(h). 12*h**2 - 5*h - 1 Let l(t) = 2 - 9 + 1153*t - 1155*t. Let y(j) = -j + 1. What is -l(c) - 6*y(c)? 8*c + 1 Let x(n) = -3*n**2 + 7*n + 137. Let i(g) = -g**2 + 3*g + 69. Calculate 5*i(r) - 2*x(r). r**2 + r + 71 Let t(p) = 2. Let s(f) = 1783 + 6*f - 1783. Let j(w) = w. Let c(l) = 5*j(l) - s(l). Calculate -2*c(v) + t(v). 2*v + 2 Let a(q) = 3*q**2 - 1. Let d(m) = 79*m**2 + 1. What is -4*a(j) + d(j)? 67*j**2 + 5 Let d(t) = -6*t - 272. Let j(y) = -5*y - 272. Calculate 4*d(v) - 5*j(v). v + 272 Let y(q) = 2*q**2 + 15*q + 11. Let i(d) = d**2 + 10*d + 5. Let c(o) = -2*o**2 - 19*o - 10. Let v(p) = 3*c(p) + 5*i(p). Determine -9*v(j) - 4*y(j). j**2 + 3*j + 1 Let t(o) = -6*o**2 + 3*o. Let i = -5 - -2. Let p(m) be the third derivative of 11*m**5/60 - 5*m**4/24 + 996*m**2. Give i*p(j) - 5*t(j). -3*j**2 Suppose 4*b + 2*m + 9 = -19, -4*b = 3*m + 32. Let s(p) = -5*p - 1. Let d(o) = -2*o + 4 + o - 4*o - 5. What is b*d(q) + 4*s(q)? 5*q + 1 Let x = -192 - -188. Let s(l) = -2*l**3 + l**2 - 5*l + 4. Let t(c) = c**3 + c - 1. Calculate x*t(k) - s(k). -2*k**3 - k**2 + k Let g(m) = -m**2 - m. Let c(r) = -28*r**2 + 16*r. Let l(u) = -u**2 + u. Let i(h) = -c(h) + 20*l(h). What is 4*g(k) + i(k)? 4*k**2 Let z(p) = -3*p - 1. Let d(o) = 3*o - 2. Let a(k) = -1. Let w(r) = -2*a(r) + d(r). Let n be (-4 - -1*2) + 17. Suppose 4*l = -n + 3. Give l*w(c) - 2*z(c). -3*c + 2 Let a(n) = -8*n + 4. Let g(b) = -4 + 1083*b - 1074*b - 1. Give 7*a(h) + 6*g(h). -2*h - 2 Let s be (-153)/(-34) + 3/(-2). Suppose -s*c = 3*c + 30. Let o(a) = 3*a + 1. Let z(j) = 2*j + 1. Determine c*o(x) + 8*z(x). x + 3 Let s = 754 - 753. Let p(y) = -y**2 - 5*y - 4. Let c be p(-3). Let f(x) = 3 + 1 + 2*x**c - x - 4*x. Let j(r) = -r + 1. What is s*f(h) - 3*j(h)? 2*h**2 - 2*h + 1 Let s(m) be the first derivative of -3/2*m**4 + 5/2*m**2 - 5*m - 5 - 1/3*m**3. Let t(c) = -c**3 + c - 1. Let q be 3/(-4 - -7)*5. Give q*t(z) - s(z). z**3 + z**2 Let b(i) = -i + 12. Let v be b(4). Let r(m) = 4*m + 1. Let t(g) = 2 + 10*g + 5*g - 9*g + 5*g. Calculate v*r(n) - 3*t(n). -n + 2 Let i(k) = -24*k + 10. Let u(w) = 13*w - 6. Determine -6*i(f) - 11*u(f). f + 6 Let f(i) be the first derivative of i**3 + 3*i - 53. Let j(r) be the second derivative of r**4/6 + r**2 - r. Let k be -4*(-1)/4*-5. Give k*j(z) + 4*f(z). 2*z**2 + 2 Let t(x) = 7*x + 46. Let n(v) = -30*v - 185. Give -6*n(y) - 26*t(y). -2*y - 86 Let c(w) = -3*w + 5. Let v(q) be the second derivative of 5*q**3/6 - 4*q**2 - 5*q + 2. Suppose 5*a - 35 = 5. Calculate a*c(i) + 5*v(i). i Let h(r) = -16*r - 4. Let j(t) = -31*t - 8. What is -7*h(f) + 4*j(f)? -12*f - 4 Suppose -w = -3*w - 18. Let y(l) be the first derivative of -17*l**2/2 - l + 91. Let n(k) = -4*k. What is w*n(j) + 2*y(j)? 2*j - 2 Let f(x) = -13*x**2 - x + 13. Let o(p) = 11*p**2 + p - 11. Determine -4*f(s) - 5*o(s). -3*s**2 - s + 3 Let y(s) = -42*s**2 + 2*s. Let b(v) = v. Calculate -6*b(p) + 3*y(p). -126*p**2 Let i(c) = 18*c**2 - 2*c - 3. Let m(a) = -17*a**2 + 2*a + 2. Calculate 3*i(v) + 2*m(v). 20*v**2 - 2*v - 5 Let v(t) = -t**3 - t**2 - 2*t - 2. Let p(w) = 6*w**3 + 5*w**2 + 11*w + 11. Let k(s) = 2*p(s) + 11*v(s). Let z(q) = 8*q**3 - 5*q**2. What is -10*k(o) + 2*z(o)? 6*o**3 Let o(l) = -3*l**3 - l - 1. Let q(u) = 4*u**3 - 13*u**2. Calculate 2*o(s) + q(s). -2*s**3 - 13*s**2 - 2*s - 2 Let s(x) = 3*x + 3. Let v(p) = -262*p + 12. Calculate 12*s(n) - 3*v(n). 822*n Let l(t) = t**2 + 25*t - 121. Let o(g) = -15*g + 60. Determine 3*l(s) + 5*o(s). 3*s**2 - 63 Let z(q) = 0*q - 4*q**2 + 4 + 6*q**2 + 2*q + 0. Let f = 65 + -61. Let i(c) = 2*c**2 + 2*c + 3. Give f*z(o) - 5*i(o). -2*o**2 - 2*o + 1 Let q(a) = -a**2 + 7*a + 2. Let r(f) = -4*f**2 + 23*f + 6. Let u(j) = -10*q(j) + 3*r(j). Let o(i) = -2*i**2 - i - 1. Give -3*o(w) + 2*u(w). 2*w**2 + w - 1 Suppose -5*i - 3*f - 3 = 27, -i + 5*f + 22 = 0. Let y(v) = v + 1. Let l(d) = 9*d**2 - 3*d - 3. Determine i*y(x) - l(x). -9*x**2 Let q(z) = -3*z**2 - 2*z + 3. Suppose 31 = -43*s + 117. Let y(g) = -4*g**2 - 2*g + 4. Let d(w) = 2*w - 1. Let c be d(-1). What is c*q(u) + s*y(u)? u**2 + 2*u - 1 Let t be (5 - 5 - -1)*-5. Let x(q) = 13*q + 59. Let b be x(t). Let h(u) = 22*u + 34. Let o(g) = 2*g + 3. Calculate b*h(n) + 68*o(n). 4*n Let m(c) = c**2 - c. Let y(k) be the third derivative of -k**5/20 + k**4/6 + k**3/2 + 147*k**2. Give -4*m(v) - y(v). -v**2 - 3 Let q(y) = y. Let k(w) = 8*w - 5. Let f(t) be the third derivative of t**4/2 - 4*t**3/3 + 19*t**2. Let z(h) = -5*f(h) + 8*k(h). Calculate 15*q(u) - 3*z(u). 3*u Let j = 3 - 0. Let n(h) = 3. Let z(x) = 43 - x - 69 + 50. What is j*z(u) - 24*n(u)? -3*u Let z(k) = 6*k**2 - 2*k - 4. Let l(h) be the second derivative of 11*h**4/12 - h**3/2 - 7*h**2/2 - 2*h + 179. What is -3*l(j) + 5*z(j)? -3*j**2 - j + 1 Let z(m) = -30*m - 2. Let a(t) = 28*t + 2. Determine -4*a(u) - 5*z(u). 38*u + 2 Let w(n) = 60*n**3 - 42*n. Let t = 139 + -97. Let f(m) = 7*m**3 - 5*m. Give t*f(q) - 5*w(q). -6*q**3 Let l(a) = a. Let o(b) = b**2 - 30*b + 2. What is 4*l(v) - o(v)? -v**2 + 34*v - 2 Let r(y) = 357 - 645*y - 713 + 356. Let i(g) = -19*g. Determine 135*i(a) - 4*r(a). 15*a Let g(x) = 5*x - 77. Let z(r) = 3*r + 1. What is -g(c) + 2*z(c)? c + 79 Let k(f) be the second derivative of f**5/2 - f**4/4 + f**3/2 + f**2/2 + 108*f. Let m(v) = -19*v**3 + 5*v**2 - 5*v - 1. Calculate -5*k(q) - 3*m(q). 7*q**3 - 2 Let j(w) = 211*w**3 + 4*w**2 + 3*w. Let a(h) = -210*h**3 - 5*h**2 - 4*h. Determine 4*a(x) + 5*j(x). 215*x**3 - x Let r(i) = 8*i**3 + 11*i**2 + 11*i - 188. Let m(a) = -3*a**3 - 4*a**2 - 4*a + 63. What is 11*m(p) + 4*r(p)? -p**3 - 59 Let f(a) = 16*a - 27*a + 10*a. Let x(j) be the third derivative of 0*j + j**2 + 1/4*j**4 + 0 - 1/6*j**3. Calculate 10*f(s) + 2*x(s). 2*s - 2 Let u(k) = 6*k - 3. Let y(q) = 7*q + 2. Let h(z) = 5*z + 1. Let f(l) = -8*h(l) + 5*y(l). Let s be 1/(((-30)/(-25))/6). Calculate s*f(v) + 4*u(v). -v - 2 Let n(v) = 562*v - 18. Let z(j) = -12363*j + 390. What is 65*n(t) + 3*z(t)? -559*t Let f(m) = 2*m. Let l(v) = -6*v - 21. Give -3*f(w) + l(w). -12*w - 21 Let k = 2173 + -2172. Let b(t) = -7*t**3 - 3*t - 5. Let r(d) = d**3 + d**2 + d + 1. What is k*b(a) + 5*r(a)? -2*a**3 + 5*a**2 + 2*a Let z(x) = 10*x + 137. Let n(p) = 5*p + 68. What is 5*n(w) - 2*z(w)? 5*w + 66 Let u(o) = -9*o - 6. Let z(y) = -5*y - 2. What is 4*u(s) - 7*z(s)? -s - 10 Let r(i) = 2*i + 3. Let m(h) = 2*h - 8. Give -m(o) - 5*r(o). -12*o - 7 Let q(a) = -1365*a - 2. Let b(v) = 137866*v + 203. Give 2*b(r) + 203*q(r). -1363*r Let s(q) = q**3 - q**2 + 1. Suppose -5*l = -24*l - 114. Let n(b) = -12*b**3 + 6*b**2 + 2*b - 6. Determine l*s(f) - n(f). 6*f**3 - 2*f Let d(x) = x. Let w be d(4). Let s be (4 - 2)*8/w. Let t(a) = 8 - 1 + 0*a - 5*a**2 + 0*a. Let i(z) = 3*z**2 - 4. Give s*t(j) + 7*i(j). j**2 Suppose 2*y + 0 = 6. Let l(k) = -6*k**2 - 3*k - 3. Let r = 106 + -73. Let z(t) = 36 - r + 3*t + t + 5*t**2 - 2*t. Determine y*l(o) + 4*z(o). 2*o**2 - o + 3 Let o(x) = 150*x**3 + 18*x**2 - 7. Let c(l) = -150*l**3 - 15*l**2 + 6. What is -6*c(t) - 5*o(t)? 150*t**3 - 1 Let v(l) = -15*l**2 + 5*l - 5. Let d(f) = -8*f**2 + 2*f - 3. What is 7*d(i) - 4*v(i)? 4*i**2 - 6*i - 1 Let p(w) = 5427*w**2 + 135*w. Let g(d) = 81*d**2 + 2*d. Give 270*g(v) - 4*p(v). 162*v**2 Let u(f) = f**3 + 7*f**2 + 13*f + 10. Let c(j) = -3*j**2 - j. Let h be c(-1). Let k(l) = 2*l**2 + 4*l + 3. Let i = 309 + -302. Calculate h*u(v) + i*k(v). -2*v**3 + 2*v + 1 Let s be (-2)/(-8)*-2 + 630/84. Let c(k) = 10*k - 1. Let z(a) = -3*a - 33 + 33. Calculate s*z(x) + 2*c(x). -x - 2 Let q(t) = 2*t**2 + 2*t. Let z(x) = -x**2 + 492*x + 2 - 492*x - 2. Suppose -g + 3 = -3*l + 3*g, 3*l = 3*g. Let h = 0 + l. Give h*z(f) + q(f). -f**2 + 2*f Let s(u) = -u**2 - 6*u + 8. Let y be s(-7). Suppose -185*r + 285*r - 600 = 0. Let b(f) = f**3 + 4*f - 8. Let z(m) = -m + 1. Determine r*z(d) + y*b(d). d**3 - 2*d - 2 Let w be (-3)/(-9)*(10 + -4). Let s(r) = -8*r**2 - w*r + 7 - 2 +
{ "pile_set_name": "DM Mathematics" }
277, 1352, 1475, 1658, 1913? 2252 What is next in 111543, 111558, 111585, 111630, 111699, 111798? 111933 What comes next: -584, -3558, -11632, -27356, -53280, -91954? -145928 What is the next term in -755, -6490, -22055, -52364, -102331, -176870? -280895 What is the next term in -421, -1867, -4275, -7651, -12001, -17331, -23647? -30955 What comes next: 614, 1274, 1986, 2750, 3566, 4434? 5354 What is the next term in 2307, 9233, 20781, 36951? 57743 What comes next: 567, 388, 207, 24, -161, -348? -537 What is the next term in 419, 395, 363, 329, 299, 279, 275, 293? 339 What is the next term in -28, 41, 182, 431, 824, 1397, 2186, 3227? 4556 What comes next: 1218, 1228, 1242, 1260, 1282? 1308 What comes next: 131978, 131982, 131988, 131996, 132006, 132018? 132032 What comes next: -130971, -261925, -392877, -523827, -654775? -785721 What is next in -81, -518, -1255, -2304, -3677, -5386? -7443 What is the next term in 792, 1574, 2380, 3222, 4112, 5062? 6084 What is the next term in 78962, 78928, 78870, 78788, 78682, 78552, 78398? 78220 What comes next: 79219, 79228, 79239, 79252, 79267, 79284? 79303 What comes next: 347, 662, 975, 1286? 1595 What is the next term in 1019, 1952, 2807, 3584, 4283? 4904 What is the next term in -4973, -9965, -14973, -20003, -25061, -30153, -35285? -40463 What is the next term in -5579, -11385, -17191, -22997, -28803? -34609 What is next in -851, -1699, -2547? -3395 What is next in 10329, 10215, 10101, 9987, 9873, 9759? 9645 What is next in 26613, 53214, 79813, 106410, 133005, 159598, 186189? 212778 What is next in 89, 149, 173, 143, 41, -151? -451 What comes next: -78, -167, -306, -489, -710, -963, -1242? -1541 What comes next: 2552, 2580, 2612, 2648, 2688, 2732, 2780? 2832 What is next in 49773, 99546, 149319? 199092 What is the next term in 68, 260, 576, 1016, 1580, 2268? 3080 What is next in 99, 54, -47, -228, -513, -926? -1491 What is the next term in -61, -47, 51, 269, 643, 1209, 2003, 3061? 4419 What comes next: 6179, 6059, 5939, 5819? 5699 What comes next: -16, 29, 88, 167, 272, 409, 584? 803 What comes next: -1302, -5234, -11798, -20994? -32822 What comes next: -1374, -1382, -1364, -1308, -1202, -1034, -792? -464 What is next in 531033, 531039, 531049, 531063? 531081 What comes next: 2801, 4129, 5457, 6785, 8113, 9441? 10769 What is next in 18, 19, 30, 57, 106? 183 What is next in 27, 71, 123, 183, 251? 327 What comes next: 170, -22, -528, -1504, -3106, -5490, -8812? -13228 What comes next: -1640, -3385, -5226, -7163, -9196, -11325? -13550 What is the next term in 2335, 3054, 3773, 4492? 5211 What is next in 7220, 7237, 7274, 7337, 7432, 7565, 7742, 7969? 8252 What is the next term in -268295, -536590, -804885, -1073180, -1341475, -1609770? -1878065 What is next in -8846, -8812, -8750, -8654, -8518, -8336? -8102 What comes next: 56736, 56722, 56698, 56664, 56620? 56566 What is the next term in -912552, -912547, -912540, -912531, -912520, -912507, -912492? -912475 What is next in 2503, 20018, 67557, 160132, 312755, 540438? 858193 What comes next: -190, -51, 316, 1025, 2190, 3925? 6344 What is next in -19643, -39336, -59035, -78746, -98475, -118228? -138011 What comes next: 564, 1082, 1590, 2082, 2552? 2994 What comes next: 68, 68, 56, 20, -52? -172 What is the next term in -534, -2377, -5448, -9747, -15274, -22029? -30012 What is the next term in 233, 470, 743, 1052, 1397, 1778? 2195 What comes next: -7405, -59266, -200055, -474244, -926305? -1600710 What is the next term in -134945, -269827, -404709, -539591? -674473 What comes next: -26, 71, 332, 835, 1658, 2879, 4576, 6827? 9710 What is next in -8487, -33959, -76411, -135843, -212255? -305647 What is next in 21257, 21282, 21329, 21404, 21513, 21662, 21857? 22104 What comes next: -186, -681, -1512, -2685, -4206, -6081, -8316? -10917 What is the next term in -29, -31, 59, 313, 803, 1601? 2779 What is next in -77194, -154387, -231580, -308773? -385966 What is next in 977, 1191, 1405? 1619 What is the next term in -20572, -20571, -20570, -20569? -20568 What is the next term in -159754, -319509, -479264, -639019, -798774, -958529? -1118284 What comes next: -112, -176, -260, -364? -488 What comes next: -2034, -1993, -1952, -1911, -1870? -1829 What is the next term in -1703, -3426, -5171, -6938, -8727, -10538? -12371 What is the next term in 173, 187, 203, 221, 241, 263? 287 What comes next: -18219, -72911, -164069, -291699, -455807, -656399, -893481? -1167059 What is the next term in -168, -322, -476, -630, -784? -938 What is the next term in -8334, -16673, -25016, -33363, -41714, -50069? -58428 What comes next: -220, -169, -84, 35, 188? 375 What is the next term in 1946, 1923, 1902, 1883, 1866, 1851? 1838 What is the next term in 261, 221, 181, 141, 101, 61? 21 What is next in 272, 2103, 7056, 16691, 32568, 56247, 89288? 133251 What is next in -2594827, -5189655, -7784483, -10379311, -12974139, -15568967? -18163795 What is the next term in -4215, -4001, -3643, -3141, -2495, -1705, -771? 307 What is next in -203678, -407332, -610984, -814634, -1018282? -1221928 What is next in 8255, 33041, 74351, 132185, 206543, 297425, 404831? 528761 What comes next: -1671, -3543, -5415, -7287? -9159 What is the next term in 2109, 4179, 6249, 8319? 10389 What is the next term in -366, -762, -1158? -1554 What is the next term in 8019, 16046, 24071, 32094, 40115? 48134 What is the next term in 363851, 363853, 363855? 363857 What comes next: -58649, -58643, -58635, -58625, -58613? -58599 What is next in 445, 2297, 4147, 5995, 7841, 9685? 11527 What comes next: 177852, 177850, 177846, 177840, 177832, 177822? 177810 What is the next term in 3, 190, 513, 978, 1591, 2358, 3285, 4378? 5643 What is next in -190, -340, -478, -598, -694, -760? -790 What comes next: 217831, 871313, 1960449, 3485239, 5445683? 7841781 What comes next: -398, 82, 562, 1042, 1522, 2002? 2482 What comes next: 967, 1611, 2255, 2899, 3543? 4187 What comes next: -3372, -3321, -3236, -3117? -2964 What comes next: 11251, 22487, 33713, 44923, 56111, 67271, 78397, 89483? 100523 What is the next term in -70027, -140064, -210101, -280138? -350175 What is the next term in 9394, 9470, 9594, 9766, 9986, 10254? 10570 What is next in -895, -1635, -2377, -3121, -3867? -4615 What is the next term in 1750, 1751, 1752, 1753? 1754 What is the next term in 476, 495, 514, 533, 552, 571? 590 What comes next: -5006, -9983, -14972, -19979, -25010? -30071 What comes next: -527, -602, -809, -1214, -1883, -2882? -4277 What is next in -1291, -5191, -11691, -20791, -32491, -46791, -63691? -83191 What comes next: 334620, 334621, 334622, 334623, 334624, 334625? 334626 What is next in 238675, 238673, 238671? 238669 What comes next: -195, -748, -1661, -2928, -4543, -6500, -8793? -11416 What is next in 32424, 32333, 32226, 32097, 31940, 31749, 31518, 31241? 30912 What comes next: 564776, 564768, 564756, 564740, 564720, 564696, 564668? 564636 What is the next term in -3, -180, -461, -834, -1287, -1808? -2385 What is next in 28, -548, -1508, -2852, -4580, -6692, -9188? -12068 What comes next: 6819, 13662, 20507, 27354? 34203 What is next in -3358, -13429, -30212, -53707, -83914, -120833, -164464? -214807 What is next in 13109, 13144, 13179, 13214, 13249, 13284? 13319 What is next in 6, 58, 136, 234, 346, 466, 588, 706? 814 What is the next term in 3236, 13099, 29564, 52625, 82276, 118511, 161324? 210709 What comes next: 1646, 1457, 1268, 1079, 890? 701 What comes next: -608, -1213, -1822, -2435, -3052, -3673? -4298 What comes next: -61, 308, 937, 1832, 2999, 4444, 6173, 8192? 10507 What is the next term in 13480, 26952, 40422, 53890? 67356 What comes next: 470, 1999, 4598, 8267, 13006, 18815, 25694? 33643 What is next in -69, -601, -2051, -4881, -9553, -16529, -26271? -39241 What comes next: 610221, 2440867, 5491943, 9763449, 15255385, 21967751, 29900547? 39053773 What comes next: -188, -611, -1210, -1991, -2960, -4123? -5486 What is next in -154942, -154944, -154946, -154948? -154950 What comes next: 82, -153, -586, -1223, -2070, -3133, -4418, -5931? -7678 What comes next: -830, -782, -694, -560, -374? -130 What is the next term in -10, -63, -140, -235, -342, -455? -568 What is the next term in -1964, -7878, -17730, -31514, -49224, -70854, -963
{ "pile_set_name": "DM Mathematics" }
given that m(t) = 0. -2, -1, 7 Let w(q) = -q - 25. Suppose 373 = 5*n + 518. Let y be w(n). Let 0 - 75/2*a**2 - 35/2*a**3 - 5/2*a**y - 45/2*a = 0. What is a? -3, -1, 0 Let b(t) be the third derivative of 0*t - 75*t**2 + 968*t**3 + 0 - 11*t**4 + 1/20*t**5. Factor b(m). 3*(m - 44)**2 Factor -2/13*s**2 - 154/13*s - 152/13. -2*(s + 1)*(s + 76)/13 Let g = 28 - 23. Suppose 5*x - 43 = -v, -9 = g*x + 2*v - 55. Let -21*n + 0*n**2 + 15*n - x + 2*n**2 = 0. What is n? -1, 4 Let q(l) be the second derivative of l**7/42 + 2*l**6/15 - 3*l**5/20 - 5*l**4/6 + 4*l**3/3 + l - 5014. Factor q(r). r*(r - 1)**2*(r + 2)*(r + 4) Let i(p) be the first derivative of -2*p**3/57 - 340*p**2/19 - 57800*p/19 - 204. Factor i(g). -2*(g + 170)**2/19 Factor -244/5*a + 86/5*a**2 + 32 - 2/5*a**3. -2*(a - 40)*(a - 2)*(a - 1)/5 Let g(y) be the third derivative of y**8/20160 + y**7/56 + 45*y**6/16 + 7*y**5/12 - 101*y**2. Let x(u) be the third derivative of g(u). Solve x(l) = 0. -45 Let m(k) = k**3 - 2*k**2 + 2*k + 2. Let x = 162 - 160. Let b = -13 - -12. Let y(h) = -h**3 - h**2 + h + 1. Let i(o) = b*m(o) + x*y(o). Solve i(u) = 0. 0 Let b(l) be the first derivative of l**5 - 25*l**4/2 + 95*l**3/3 + 75*l**2 + 424. Factor b(d). 5*d*(d - 6)*(d - 5)*(d + 1) Let o be -27 + (-13449)/(-15) + (-1 - -15). Solve -188/5*h + 2/5*h**2 + o = 0. 47 Factor 25/3*x**3 + 5*x + 35/3*x**2 + 5/3*x**4 + 0. 5*x*(x + 1)**2*(x + 3)/3 Let d = -1571687/45 - -174633/5. Suppose 0 + 2/9*g + 16/9*g**4 - 20/9*g**3 + d*g**2 = 0. What is g? -1/4, 0, 1/2, 1 Let l(o) be the third derivative of o**5/210 + 101*o**4/84 + 388*o**3/21 - 47*o**2. Factor l(r). 2*(r + 4)*(r + 97)/7 Let y(d) be the third derivative of 1/165*d**5 + 0*d + 1/132*d**4 - 1/330*d**6 - 1/33*d**3 - 4*d**2 + 1/1848*d**8 - 1/1155*d**7 + 2. Factor y(a). 2*(a - 1)**3*(a + 1)**2/11 Let o(h) = -35 - 15*h**2 + 69*h**2 + 12*h - 57*h**2. Let y(n) = 5*n**2 - 19*n + 52. Let r(i) = -8*o(i) - 5*y(i). Factor r(b). -(b - 4)*(b + 5) Let a(u) = -15*u**2 - 15*u + 3. Let t(d) = d**2 - d. Let i(m) = -a(m) + 6*t(m). Let h(s) = -2*s**2 + 1. Let j(f) = -9*h(f) - i(f). Let j(l) = 0. What is l? -2, -1 Let d(r) be the second derivative of 3/8*r**4 + r + 1/200*r**6 + 7/100*r**5 - 12 + 9/10*r**3 - 37/2*r**2. Let y(j) be the first derivative of d(j). Factor y(a). 3*(a + 1)*(a + 3)**2/5 Suppose -d + 0*d + 39 = 3*g, 0 = 5*g - 2*d - 54. Suppose 5*z - 15 = -0*z - i, 3*z = i + 9. Factor 5*p**3 - 3*p**3 + p**2 + 8*p**2 + p**z - g*p. 3*p*(p - 1)*(p + 4) Let o = -4622 - -4645. Let a(w) be the first derivative of -1/26*w**4 + o + 10/39*w**3 + 0*w - 4/13*w**2. Factor a(c). -2*c*(c - 4)*(c - 1)/13 Let c(t) be the third derivative of -17/60*t**5 + 2/15*t**6 + 34*t + 1/210*t**7 + 0 + 0*t**4 - 3*t**2 + 0*t**3. Factor c(s). s**2*(s - 1)*(s + 17) Let j = -13185 - -13187. Determine b, given that 1/5*b**4 + 0 - 14/5*b - 2*b**3 + 23/5*b**j = 0. 0, 1, 2, 7 Let o be (-16856)/48 - 2/(-12). Let x = -348 - o. Factor 0 + 0*w**2 + 2/11*w**5 - 2/11*w**4 - 4/11*w**x + 0*w. 2*w**3*(w - 2)*(w + 1)/11 Suppose -4*h + 21 = 5*v, -11*v + 10 = -8*v + 5*h. Let m = -546 + 548. Factor -7/4*z**3 + 5/4*z**4 - 4*z - 21/4*z**m + 3/4*z**v - 1. (z - 2)*(z + 1)**3*(3*z + 2)/4 Factor -380*b - 108300 - 1/3*b**2. -(b + 570)**2/3 Let n(p) be the first derivative of -p**7/280 - p**6/24 - p**5/5 - p**4/2 - 106*p**3/3 - 167. Let c(b) be the third derivative of n(b). What is d in c(d) = 0? -2, -1 Factor 1149*y**4 + 3*y**5 - 15*y + 9*y**3 - 8*y**2 + 1141*y**4 - 2275*y**4 + 3*y - 7*y**2. 3*y*(y - 1)*(y + 1)**2*(y + 4) Let a(d) be the second derivative of -d**4/54 - 17*d**3/3 + 310*d**2/9 - 249*d + 1. Factor a(i). -2*(i - 2)*(i + 155)/9 Let a be (-1)/(-15) - 3/(-2)*(-128)/(-320). Factor -10*f + a*f**3 - 16/3 - 4*f**2. 2*(f - 8)*(f + 1)**2/3 Suppose -p - 3*y - 132 = -157, 5*y = -27*p + 219. Find k, given that -1/2*k**2 - p*k - 13/2 = 0. -13, -1 Let c(l) be the third derivative of l**7/42 + 11*l**6/8 - 17*l**5/6 - 5*l**2 - 179. Find b, given that c(b) = 0. -34, 0, 1 Find c, given that -11305 + 372*c**3 - 7424*c + 5161 - 928*c**2 + 15*c**4 + c**4 - 4*c**5 = 0. -8, -3, -1, 8 Determine m so that -1/10*m**2 + 139/10*m - 204/5 = 0. 3, 136 Let k(z) = 5*z**2 - 12*z + 18. Let d be k(2). Suppose 17*i - d*i - 6 = 0. Factor 24/5*o + 0 + 3/5*o**i. 3*o*(o + 8)/5 Let r(l) be the third derivative of 0*l**3 + 1/3*l**4 - 90*l**2 + 1/15*l**5 + 0*l + 0. Suppose r(k) = 0. Calculate k. -2, 0 Let w(x) be the second derivative of 145/6*x**3 + 0 + 7/4*x**5 - 45/4*x**4 - 11*x + 1/6*x**6 - 25*x**2. Factor w(z). 5*(z - 1)**3*(z + 10) Let g(u) be the third derivative of -u**7/840 - 3*u**6/40 - 17*u**5/120 + 3*u**4/8 + 35*u**3/24 - 382*u**2. Factor g(a). -(a - 1)*(a + 1)**2*(a + 35)/4 Suppose 0 = -47*m - 86 - 478. Let s be (0*(m/(-8) + -1))/(-1). Factor -3/10*i**2 + s*i - 1/10*i**4 - 2/5*i**3 + 0. -i**2*(i + 1)*(i + 3)/10 Let i(l) = l**5 - l**4 + 2*l**2 + l. Let g = 181 + -178. Let r(n) = -5*n**5 + 11*n**3 - 14*n**2 - 4*n. Let f(t) = g*r(t) + 12*i(t). Factor f(u). -3*u**2*(u - 1)**2*(u + 6) Suppose -3*w + 658 = -x, -2*w + w + 1321 = -2*x. Let l = x - -1987/3. Factor 4*b + l*b**2 - 16/3. 4*(b - 1)*(b + 4)/3 Factor 58/5*v**3 + 392/5*v + 2/5*v**4 + 448/5*v**2 + 0. 2*v*(v + 1)*(v + 14)**2/5 Let j(h) be the second derivative of h**5/110 - h**4/3 + 11*h**3/3 + 209*h + 1. Factor j(m). 2*m*(m - 11)**2/11 Factor 0 + 96*w + 15/2*w**3 + 3/4*w**4 - 66*w**2. 3*w*(w - 4)*(w - 2)*(w + 16)/4 Suppose 124*l - 2055 = -561*l. Solve 27/7*r - 51/7*r**2 - 51/7*r**l + 15/7 - 12/7*r**5 + 72/7*r**4 = 0 for r. -1/2, 1, 5 Solve -413*o**2 + 105*o**4 + 6336 - 119*o**2 - 5856*o - 32*o**4 + 48*o**3 - 34*o**4 - 35*o**4 = 0. -12, 1, 11 Let f(l) be the third derivative of -l**7/735 + l**6/35 - 29*l**5/210 + 3*l**4/14 - 3*l**2 - 37*l. Factor f(m). -2*m*(m - 9)*(m - 2)*(m - 1)/7 Let n(q) = -8*q**2 - 74*q - 18. Let k be n(-9). Let i(c) be the third derivative of -1/80*c**6 + 0 + 0*c + 1/40*c**5 + 0*c**3 - 2*c**2 + k*c**4. Factor i(o). -3*o**2*(o - 1)/2 Let s(m) be the third derivative of -5/21*m**3 - 61*m**2 - 2*m - 1/14*m**4 - 1/210*m**5 + 0. What is g in s(g) = 0? -5, -1 Let f(c) be the second derivative of 8*c**7/7 + 348*c**6/5 - 12621*c**5/20 + 1277*c**4 - 1809*c**3/2 + 294*c**2 - 13200*c. Solve f(q) = 0. -49, 1/4, 1, 4 Let w be ((-21)/(-36))/((-1974)/(-188)). Let k(l) be the third derivative of 1/360*l**5 + 0 + 9*l**2 - 1/48*l**4 + w*l**3 + 0*l. Let k(p) = 0. Calculate p. 1, 2 Let i(s) be the first derivative of s**4/78 - 11*s**3/39 - 12*s**2/13 + 114*s - 115. Let y(b) be the first derivative of i(b). Factor y(l). 2*(l - 12)*(l + 1)/13 Let j(t) be the second derivative of -t**5/130 + 29*t**4/78 + 10*t**3/13 - 910*t. Let j(w) = 0. What is w? -1, 0, 30 Let q be 370/14*902/110. Let n = 217 - q. Factor -n*x + 2/7*x**2 + 0 - 2/7*x**4 + 2/7*x**3. -2*x*(x - 1)**2*(x + 1)/7 Suppose -3829*f = -3827*f + 2. Let c be 16/(-48) - f/3. Let -5/4*t**4 + c - 15/2*t - 5/4*t**2 + 5*t**3 = 0. Calculate t. -1, 0, 2, 3 Suppose u - 32*t + 36*t = 20, -u - 20 = -4*t. Let z(a) be the first derivative of 0*a + 10/3*a**3 + 5/4*a**4 + u*a**2 - 27. Factor z(p). 5*p**2*(p + 2) Suppose 21*p + 807 - 849 = 0. Factor -15/4 + 21/8*o - 3/8*o**p. -3*(o - 5)*(o - 2)/8 Let m(p) be the second derivative of -9*p**4/4 - 568*p**3 - 378*p**2 - 3088*p. Factor m(s). -3*(s + 126)*(9*s + 2) Let c(d) be the first derivative of d**6/3 + 66*d**5/5 + 59*d**4/2 - 202*d**3/3 - 252*d**2 - 248*d + 69. Determine w, given that c(w) = 0. -31, -2, -1, 2 Let x be 678/(-14) + (194 - 141). Factor 48*m + 126*m**2 + x. 2*(21*m + 4)**2/7 Let q(z) be the third derivative of z**7/2100 - 9*z**5/100 - 9*z**4/10 - z**3/6 - 207*z**2. Let i(x) be the first derivative of q(x). Solve i(h) = 0. -3, 6 Let r(d) be the first derivative of 5*d**3/3 - 5*d**2 - 840*d - 1045. Determine l, given that r(l) = 0. -12, 14 Let y = -1336/9 + 6704/45. Let a(h) be the first derivative of -8/9*h**3 - 1/9*h**6 - 24 - 5/3*h**2 + h**4 + 0*h + y*h**5. Suppose a(p) = 0. What is p? -1, 0, 1, 5 Suppose -4*o = -3*g - 29, -5*o + 10*o - 10 = -5*g. Solve 2 + 1 + b**2 - 5*b + 5*b - 71*b**3 + o*b + 70*b**3 = 0. -1, 3 Suppose 3859*s = 3865*s + 2322. Let q = -385 - s. Determine h so that 3/4*h + 0 + 5/4*h**3 - 2*h**q = 0. 0, 3/5, 1 Let l(h) be the second derivative of h**5/100 - h**4/12 - 37*h**3/5 - 108*
{ "pile_set_name": "DM Mathematics" }
-4. -4, -2, 46 Sort 3, -4, 0, 21 in decreasing order. 21, 3, 0, -4 Put 3, 4, 5, -21, 0 in increasing order. -21, 0, 3, 4, 5 Sort -27, -2/5, 2/5 in decreasing order. 2/5, -2/5, -27 Sort 4, 1, 104. 1, 4, 104 Put -1, 1, 0, 9 in increasing order. -1, 0, 1, 9 Put 4, 5, -2, 3 in ascending order. -2, 3, 4, 5 Put -1, 3, 1/2, -0.15, -0.4 in descending order. 3, 1/2, -0.15, -0.4, -1 Sort 4, -4, 1, 706 in decreasing order. 706, 4, 1, -4 Sort -2320, 5, 1. -2320, 1, 5 Sort -3, -6, -11, 4. -11, -6, -3, 4 Sort -3, 5, -22, 35 in descending order. 35, 5, -3, -22 Sort 2, -5, -10 in descending order. 2, -5, -10 Put 0.5, -1.4, -0.2 in decreasing order. 0.5, -0.2, -1.4 Put -9, -1, -7, -3/4, -33/4 in descending order. -3/4, -1, -7, -33/4, -9 Put -4, 5, 77 in decreasing order. 77, 5, -4 Sort 0, -15, 5 in decreasing order. 5, 0, -15 Sort -0.4, -200, 4. -200, -0.4, 4 Sort 0, 4, 0.2, -21/4. -21/4, 0, 0.2, 4 Sort 10, 15, 2. 2, 10, 15 Put 1/10, -0.5, 222, -1/4 in increasing order. -0.5, -1/4, 1/10, 222 Sort 0.2, -1008, 1/9. -1008, 1/9, 0.2 Put 11, -0.5, 1/5, 2/49 in descending order. 11, 1/5, 2/49, -0.5 Sort 0.7, 4/5, -0.2 in descending order. 4/5, 0.7, -0.2 Put 0.1, 0.15, -8, -1 in decreasing order. 0.15, 0.1, -1, -8 Sort 9, 2, 5. 2, 5, 9 Sort 4, -1, 23 in descending order. 23, 4, -1 Sort -5, -3, -20 in decreasing order. -3, -5, -20 Sort 4, -22, 0 in increasing order. -22, 0, 4 Put -6, -15, 0, -3 in ascending order. -15, -6, -3, 0 Sort 120, -3, -5 in decreasing order. 120, -3, -5 Sort -0.074, 0, -0.14 in ascending order. -0.14, -0.074, 0 Put -5, 34, 1, 6, 2 in descending order. 34, 6, 2, 1, -5 Sort -0.5, -2/9, 0.03 in descending order. 0.03, -2/9, -0.5 Sort -4, -11, 1, 4, 7. -11, -4, 1, 4, 7 Put 1, -1/3, 2/19 in decreasing order. 1, 2/19, -1/3 Sort -201, -2, -1, -0.1, -1/2. -201, -2, -1, -1/2, -0.1 Sort 4, -52, -3, 3, 1. -52, -3, 1, 3, 4 Sort -0.3, 5, -6/5, -1/10 in decreasing order. 5, -1/10, -0.3, -6/5 Sort 5, -5, 112. -5, 5, 112 Put 0.2, -0.06, 0.1, 2/3, -0.21 in increasing order. -0.21, -0.06, 0.1, 0.2, 2/3 Sort -126, 3/2, 1 in descending order. 3/2, 1, -126 Sort 2/39, 47/2, 1/4 in decreasing order. 47/2, 1/4, 2/39 Put 4, -3, -147 in descending order. 4, -3, -147 Sort 0.4, 368, -1.6. -1.6, 0.4, 368 Sort -5, 83, -3. -5, -3, 83 Sort -45, 74, 1. -45, 1, 74 Sort 4, 8, -62, -0.3 in descending order. 8, 4, -0.3, -62 Put -24, -122, 2 in ascending order. -122, -24, 2 Put -94, 1/5, -1.3 in decreasing order. 1/5, -1.3, -94 Put -6, 7, 2 in increasing order. -6, 2, 7 Sort 4, 11, 5, 1. 1, 4, 5, 11 Sort -2, 0, 5, 1, 86 in decreasing order. 86, 5, 1, 0, -2 Put -82, 5/3, 0.1 in descending order. 5/3, 0.1, -82 Put -1, -5, -21, -2 in ascending order. -21, -5, -2, -1 Sort -0.3, -2.4, 14, -5, -0.4 in descending order. 14, -0.3, -0.4, -2.4, -5 Put 2/3, 3/4, 1/6 in increasing order. 1/6, 2/3, 3/4 Sort -2, 51, 3. -2, 3, 51 Sort 3, -5, -0.21, -1/2 in decreasing order. 3, -0.21, -1/2, -5 Put 10, -3, 0 in descending order. 10, 0, -3 Sort -4, -242, 4 in descending order. 4, -4, -242 Put 4, 0.4, -3, -2/11, 2/3 in descending order. 4, 2/3, 0.4, -2/11, -3 Sort -0.2, 163, -3. -3, -0.2, 163 Put 24, 0.06, 2, 5 in increasing order. 0.06, 2, 5, 24 Put 5, -3, 1, -444, -1 in increasing order. -444, -3, -1, 1, 5 Sort -5/3, 0.4, -67, 8, 0.1 in decreasing order. 8, 0.4, 0.1, -5/3, -67 Sort 0, -8, -1, 2, 1 in increasing order. -8, -1, 0, 1, 2 Sort -21, 0.1, -3. -21, -3, 0.1 Sort 2/5, 11, 0.3, -0.215. -0.215, 0.3, 2/5, 11 Sort 42, -5, -0.4 in ascending order. -5, -0.4, 42 Put -3, -2, 4, -1 in increasing order. -3, -2, -1, 4 Sort -2385, -0.3, 0.3, 3, 0.2 in descending order. 3, 0.3, 0.2, -0.3, -2385 Sort 0, -0.4, 178. -0.4, 0, 178 Put 3, -9, 88, -4 in descending order. 88, 3, -4, -9 Put -7/123, 0.2, 2 in increasing order. -7/123, 0.2, 2 Sort -1, -4, -2173, 4, 5 in ascending order. -2173, -4, -1, 4, 5 Put 2, -6, -4, 9 in ascending order. -6, -4, 2, 9 Sort 9/10, 0.2, 0.4. 0.2, 0.4, 9/10 Sort -4, -24, -26. -26, -24, -4 Sort -5/7, -0.1, 0.1 in decreasing order. 0.1, -0.1, -5/7 Sort 2, -2, -21. -21, -2, 2 Sort 4, 1, 67/3 in increasing order. 1, 4, 67/3 Sort 0, -6, -1 in decreasing order. 0, -1, -6 Put -607, -3, -2 in increasing order. -607, -3, -2 Sort 210, 0, -4, -2 in increasing order. -4, -2, 0, 210 Put 3, -0.04, -1, -1/4, 5 in ascending order. -1, -1/4, -0.04, 3, 5 Sort 110, -3, -35. -35, -3, 110 Sort 1.5, 2, -0.41. -0.41, 1.5, 2 Sort -1, -6, 4, -14. -14, -6, -1, 4 Put -2/7, -0.3, 4/3, -21 in ascending order. -21, -0.3, -2/7, 4/3 Put 5, -2/7, -20, -14 in ascending order. -20, -14, -2/7, 5 Sort 0.5, -3, -2, 4. -3, -2, 0.5, 4 Put 1/5, -1/2, -4/7, -0.4 in descending order. 1/5, -0.4, -1/2, -4/7 Sort 11, -5, -2, -4 in increasing order. -5, -4, -2, 11 Put -1/5, -5, 2, -5/3 in descending order. 2, -1/5, -5/3, -5 Sort -6, 1, -20, 4 in descending order. 4, 1, -6, -20 Sort 27, 5, -3, 1 in decreasing order. 27, 5, 1, -3 Put -4, 2/3, -45, 10/7, 2/5 in decreasing order. 10/7, 2/3, 2/5, -4, -45 Put 65, -6/17, 1/2 in decreasing order. 65, 1/2, -6/17 Put 2, -17, 3 in ascending order. -17, 2, 3 Put -0.01, 4, -2, -23 in decreasing order. 4, -0.01, -2, -23 Put 1/6, -0.162, 3, 0.4 in descending order. 3, 0.4, 1/6, -0.162 Put 22, 1, 1/3, -30 in ascending order. -30, 1/3, 1, 22 Sort -283, 28, 0.3, 0. -283, 0, 0.3, 28 Sort -3, 37, -17, 4 in descending order. 37, 4, -3, -17 Put -3, 3, -144 in ascending order. -144, -3, 3 Sort 3, -26, 2, 0 in decreasing order. 3, 2, 0, -26 Sort -20, -8, -5, -1 in decreasing order. -1, -5, -8, -20 Put -2/9, -2, -0.5, 13, -5 in decreasing order. 13, -2/9, -0.5, -2, -5 Sort -2, 0.04, -455 in descending order. 0.04, -2, -455 Put -4, 10, -121 in decreasing order. 10, -4, -121 Put 5, -2/9, 0 in ascending order. -2/9, 0, 5 Sort 6, -9, -3 in descending order. 6, -3, -9 Sort -4, 0.06, -3/5, 13. -4, -3/5, 0.06, 13 Sort -63, -3, 0, -10. -63, -10, -3, 0 Sort -3, -27, 3 in ascending order. -27, -3, 3 Sort -2, 6, 1. -2, 1, 6 Sort 1, 0.3, -7/3, 5 in ascending order. -7/3, 0.3, 1, 5 Put 4, -46, 1, 3, -3 in descending order. 4, 3, 1, -3, -46 Put -3, 9, -43, -4 in increasing order. -43, -4, -3, 9 Sort -4, 24, 2/3, 1. -4, 2/3, 1, 24 Sort -4, 5, 4, -2/5, -1/3 in descending order. 5, 4, -1/3, -2/5, -4 Sort -2, -3, 11, 0. -3, -2, 0, 11 Sort 23, -2, 2, 11 in decreasing order. 23, 11, 2, -2 Put -6, -1, 0.1, 20 in descending order. 20, 0.1, -1, -6 Sort 5, -0.2, 0.4, 1, -7/9 in increasing order. -7/9, -0.2, 0.4, 1, 5 Sort 0.73, 2, 3, 0.03, -2/5. -2/5, 0.03, 0.73, 2, 3 Put -4, 1, -118, -2 in descending order. 1, -2, -4, -118 Sort -0.3, 0.2, 0, 4, 0.7 in decreasing order. 4, 0.7, 0.2, 0, -0.3 Sort 0.1, 0, 0.1601 in descending order. 0.1601, 0.1, 0 Sort 0, -0.05, -4, -0.2 in increasing order. -4, -0.2, -0.05, 0 Sort 1, 1244, 4 in decreasing order. 1244, 4, 1 Sort -4/33, -1, -1/9. -1, -4/33, -1/9 Sort 4, -2/61, 0 in decreasing order. 4, 0, -2/61 Sort 9, -3/8, 5, 0.2 in descending order. 9, 5, 0.2, -3/8 Put 3, -567, 5 in decreasing order. 5, 3, -567 Put 684, -1, 0 in ascending order. -1, 0, 684 Sort 3, -16, 26 in ascending order. -16, 3, 26 Sort 0.3, -0.1, 1, 21 in decreasing order. 21, 1, 0.3, -0.1 Sort 4, 0.1, 0. 0, 0.1, 4 Put -2/9, 2, 0, -3/28 in increasing order. -2/9, -3/28, 0, 2 Put -12, -3, -54 in decreasing order. -3, -12, -54 Sort 35, 0, -3, -1/2, -4 in ascending order. -4, -3, -1/2, 0, 35 Sort -3, -278, -1. -278, -3, -1 Put -6, 0.13, 4, 1 in descending order. 4, 1, 0.13, -6 Put 2, 10, -4, -10 in descending order. 10, 2, -4, -10 Put -1/4, 4/21, 3/7, -3, -5 in descending order. 3/7, 4/21, -1/4, -3, -5 Put 126, -4, -1, 3 in decreasing order. 126, 3, -1, -4 Sort 2, 5, -18, 3, -2 in decreasing order. 5, 3, 2, -2, -18 Put 2/9, 7, 3, 8 in descending order. 8, 7, 3, 2/9 Put 4/3, 0.2, 0.07, -1/4 in ascending order. -1/4, 0.07, 0.2, 4/3 Sort 53, 0, -1, 11 in decreasing order. 53, 11, 0, -1 Put 5/3, -0.4, -12, -22 in decreasing order. 5/3, -0.4, -12, -22 Sort 34, -4, -6 in decreasing order. 34, -4, -6 Sort -53.7, 1/5, 0.5. -53.7, 1/5, 0.5 Sort -13, -5, -2, 1 in increasing order. -13, -5, -2, 1 Put -2/9, 0.4, -3/7 in decreasing order. 0.4, -2/9, -3/7 Sort 571, 0, 3 in decreasing order. 571, 3, 0 Sort -2/95, -0.2, -45 in descending order. -2/95, -0.2, -45 Sort 27, -4, -5. -5, -4, 27 Put 4, 232, 0, -1 in ascending order. -1, 0,
{ "pile_set_name": "DM Mathematics" }
000 Round -18605700 to the nearest 1000000. -19000000 What is 5566000 rounded to the nearest 1000000? 6000000 Round -0.0015284 to four decimal places. -0.0015 Round 33928 to the nearest one hundred. 33900 Round 0.0778 to two dps. 0.08 Round 0.43884 to two dps. 0.44 What is 142 rounded to the nearest 100? 100 What is 58.26 rounded to the nearest integer? 58 Round 597780 to the nearest 100000. 600000 What is 2037.2 rounded to the nearest ten? 2040 Round -2592.5 to the nearest 100. -2600 What is 0.0008385 rounded to five dps? 0.00084 Round -572200 to the nearest ten thousand. -570000 Round 279200 to the nearest 100000. 300000 What is -2579300 rounded to the nearest ten thousand? -2580000 Round -0.00009568 to 5 decimal places. -0.0001 What is 0.00025002 rounded to six decimal places? 0.00025 What is -0.0000851 rounded to five dps? -0.00009 What is 0.01498 rounded to three decimal places? 0.015 What is 0.010273 rounded to 3 decimal places? 0.01 Round -1392000 to the nearest 10000. -1390000 What is 6.357 rounded to 1 dp? 6.4 Round 2442000 to the nearest 100000. 2400000 What is -0.34764 rounded to 1 dp? -0.3 Round 0.2608 to two decimal places. 0.26 Round -247900 to the nearest ten thousand. -250000 Round 0.00456 to three decimal places. 0.005 Round 0.0000002756 to seven decimal places. 0.0000003 Round 175.6 to the nearest ten. 180 What is 0.000001343 rounded to seven dps? 0.0000013 Round 0.0002003 to 5 dps. 0.0002 Round -4.904 to 0 dps. -5 Round -0.00014168 to six dps. -0.000142 What is -0.0000089065 rounded to 6 decimal places? -0.000009 Round 171704 to the nearest one thousand. 172000 What is 0.000002319 rounded to seven decimal places? 0.0000023 Round 0.000011609 to 6 dps. 0.000012 Round 0.00011458 to five decimal places. 0.00011 Round 0.9147 to 1 decimal place. 0.9 Round -0.0000157181 to 7 decimal places. -0.0000157 Round 7.447 to one dp. 7.4 What is 0.013727 rounded to three decimal places? 0.014 What is -0.0000001987 rounded to 7 decimal places? -0.0000002 What is 8.836 rounded to 1 dp? 8.8 Round -66985000 to the nearest one hundred thousand. -67000000 Round 2326 to the nearest 100. 2300 What is -2831000 rounded to the nearest one hundred thousand? -2800000 What is -1529900 rounded to the nearest 100000? -1500000 Round -96560 to the nearest ten thousand. -100000 Round 674440 to the nearest 100000. 700000 What is 1525300 rounded to the nearest 10000? 1530000 Round 6.465 to one dp. 6.5 Round -0.0001415 to five decimal places. -0.00014 What is 0.004 rounded to two dps? 0 Round 20400400 to the nearest 1000000. 20000000 Round 0.0285572 to four dps. 0.0286 What is 23505.4 rounded to the nearest one hundred? 23500 Round 166.46 to 0 decimal places. 166 What is -1722400 rounded to the nearest 1000000? -2000000 Round 0.0000010473 to seven dps. 0.000001 What is -3780000 rounded to the nearest one million? -4000000 Round 2.8588 to two decimal places. 2.86 Round -226.85 to the nearest integer. -227 What is -2.5899 rounded to two decimal places? -2.59 Round -157.09 to the nearest ten. -160 What is 0.36426 rounded to two decimal places? 0.36 Round 210540 to the nearest one thousand. 211000 Round 185 to the nearest 100. 200 What is -0.024618 rounded to three dps? -0.025 What is 3.8962 rounded to two decimal places? 3.9 Round -20813000 to the nearest 1000000. -21000000 What is -4012300 rounded to the nearest one million? -4000000 What is 75308000 rounded to the nearest 100000? 75300000 What is 0.03174 rounded to four dps? 0.0317 What is 967400 rounded to the nearest ten thousand? 970000 Round 0.0000036632 to 7 dps. 0.0000037 What is 0.00003852 rounded to six dps? 0.000039 Round -0.2393 to three dps. -0.239 What is 0.01804 rounded to three decimal places? 0.018 What is -17924 rounded to the nearest one thousand? -18000 What is -0.0062175 rounded to 5 dps? -0.00622 Round -6327700 to the nearest one hundred thousand. -6300000 Round 82060 to the nearest 10000. 80000 Round 4.8555 to 2 decimal places. 4.86 Round -0.362045 to 2 dps. -0.36 What is 312200 rounded to the nearest ten thousand? 310000 Round 0.0014292 to 4 dps. 0.0014 Round -0.0000182 to four dps. 0 What is 36.3036 rounded to 1 decimal place? 36.3 What is -4.6593 rounded to one decimal place? -4.7 Round -1.48253 to one dp. -1.5 What is 7.141 rounded to one decimal place? 7.1 Round -0.0005886 to four dps. -0.0006 What is 434.57 rounded to the nearest ten? 430 What is 0.002022 rounded to three dps? 0.002 What is 1.60595 rounded to 1 dp? 1.6 What is 1108 rounded to the nearest 1000? 1000 What is -8220000 rounded to the nearest one million? -8000000 What is -4267600 rounded to the nearest 100000? -4300000 Round 135.1 to the nearest 10. 140 Round 860 to the nearest one thousand. 1000 What is 0.01256 rounded to 3 decimal places? 0.013 What is 376510 rounded to the nearest 1000? 377000 Round -0.0021104 to 3 decimal places. -0.002 What is -1195.56 rounded to the nearest ten? -1200 Round -0.000015202 to 7 decimal places. -0.0000152 What is -0.0000021786 rounded to seven decimal places? -0.0000022 What is 66024000 rounded to the nearest 1000000? 66000000 What is -0.00017725 rounded to 6 dps? -0.000177 Round 0.00009953 to 5 decimal places. 0.0001 Round 268.6 to the nearest 10. 270 What is -899340000 rounded to the nearest one million? -899000000 What is 0.0019015 rounded to five dps? 0.0019 What is 0.00030451 rounded to six dps? 0.000305 What is -114800 rounded to the nearest ten thousand? -110000 What is 277.54 rounded to the nearest one hundred? 300 Round -0.01536 to four dps. -0.0154 Round -49810000 to the nearest one million. -50000000 Round 28.03 to the nearest 10. 30 What is 0.0127 rounded to two dps? 0.01 Round 0.0000061537 to seven decimal places. 0.0000062 Round -0.21302 to three dps. -0.213 Round -0.0000507 to six dps. -0.000051 Round 0.000045903 to five decimal places. 0.00005 What is -12716 rounded to the nearest 1000? -13000 What is -0.0061544 rounded to 3 dps? -0.006 What is -177990 rounded to the nearest ten thousand? -180000 Round -0.00012263 to five dps. -0.00012 What is 0.0001199 rounded to five dps? 0.00012 Round -0.19286 to two decimal places. -0.19 Round 0.5181 to 2 dps. 0.52 What is 12216100 rounded to the nearest one hundred thousand? 12200000 What is -88280 rounded to the nearest 10000? -90000 Round 1037140 to the nearest one thousand. 1037000 Round 43.44 to zero dps. 43 What is 9.617 rounded to 1 decimal place? 9.6 Round -11 to the nearest 10. -10 What is -0.00036954 rounded to 5 dps? -0.00037 Round 62.937 to the nearest integer. 63 Round 73917000 to the nearest one million. 74000000 What is -0.962 rounded to two decimal places? -0.96 What is -1626000 rounded to the nearest one hundred thousand? -1600000 What is -24194 rounded to the nearest 100? -24200 What is -18050000 rounded to the nearest one hundred thousand? -18100000 Round -24561 to the nearest one thousand. -25000 What is 0.000137 rounded to 5 decimal places? 0.00014 What is -346430 rounded to the nearest 100000? -300000 What is 55900000 rounded to the nearest one million? 56000000 Round 119000 to the nearest 100000. 100000 What is 5847.1 rounded to the nearest 1000? 6000 Round -12.63 to the nearest integer. -13 Round 31127000 to the nearest 1000000. 31000000 What is 0.00002094 rounded to 6 decimal places? 0.000021 Round 0.00006666 to five dps. 0.00007 Round 0.0001865 to five decimal places. 0.00019 Round 5.29 to zero dps. 5 Round -8920000 to the nearest one hundred thousand. -8900000 What is 149.45 rounded to the nearest integer? 149 What is -20740 rounded to the nearest ten thousand? -20000 What is -0.000198991 rounded to 5 decimal places? -0.0002 What is 35.875 rounded to zero decimal places? 36 What is 0.17114 rounded to two dps? 0.17 What is -6700 rounded to the nearest 1000? -7000 What is 5.34 rounded to the nearest integer? 5 Round -0.0000695 to six decimal places. -0.00007 Round 155530 to the nearest 1000. 156000 Round 0.108036 to two dps. 0.11 What is 0.20992 rounded to two dps? 0.21 What is 1124.37 rounded to the nearest ten? 1120 Round 47400 to the nearest ten thousand. 50000 What is -2224.2 rounded to the nearest 100? -2200 What is 0.2892 rounded to 2 dps? 0.29 What is -0.000002353 rounded to seven dps? -0.0000024 Wha
{ "pile_set_name": "DM Mathematics" }
acement from nnvvnxan? 1/42 Calculate prob of sequence sas when three letters picked without replacement from axxxxsxoxxsxxxxaxax. 1/969 Two letters picked without replacement from {t: 3, v: 3, j: 2, g: 7}. What is prob of sequence tv? 3/70 Four letters picked without replacement from {w: 1, t: 2, m: 4}. Give prob of sequence mtwm. 1/35 What is prob of sequence px when two letters picked without replacement from rlplrrrxpl? 1/45 Three letters picked without replacement from nrrsrrrsst. What is prob of sequence rsr? 1/12 Three letters picked without replacement from {w: 3, e: 10, x: 2, o: 5}. Give prob of sequence wxw. 1/570 What is prob of sequence clrr when four letters picked without replacement from {d: 3, l: 1, r: 1, a: 1, c: 1}? 0 Two letters picked without replacement from wwwwwwbwwwwwwwwwwwww. Give prob of sequence bw. 1/20 Two letters picked without replacement from {h: 3, z: 1, d: 1, l: 3, m: 3, a: 4}. Give prob of sequence aa. 2/35 Calculate prob of sequence us when two letters picked without replacement from zsuzfss. 1/14 What is prob of sequence bb when two letters picked without replacement from {k: 1, b: 3, e: 1, y: 1, s: 1}? 1/7 Calculate prob of sequence pk when two letters picked without replacement from {o: 1, p: 3, w: 4, k: 2, t: 7, i: 1}. 1/51 Four letters picked without replacement from {p: 2, v: 5, q: 3}. Give prob of sequence qvvv. 1/28 Three letters picked without replacement from iffmmmim. What is prob of sequence mmf? 1/14 Calculate prob of sequence wawa when four letters picked without replacement from aaaaaaaaawwwaaawwa. 13/306 Two letters picked without replacement from {y: 2, q: 18}. What is prob of sequence yy? 1/190 Four letters picked without replacement from {o: 1, a: 6, f: 12}. Give prob of sequence faff. 55/646 What is prob of sequence nl when two letters picked without replacement from snnllnlns? 1/6 Two letters picked without replacement from ffttfff. What is prob of sequence tt? 1/21 Two letters picked without replacement from {d: 6, v: 1, z: 3, i: 1, l: 3}. What is prob of sequence lv? 3/182 What is prob of sequence gx when two letters picked without replacement from xgxxggggggxxgxxxgx? 9/34 Four letters picked without replacement from {n: 3, p: 1}. Give prob of sequence npnn. 1/4 Calculate prob of sequence scke when four letters picked without replacement from {b: 2, c: 1, v: 1, s: 9, k: 3, e: 3}. 9/10336 What is prob of sequence pl when two letters picked without replacement from lpy? 1/6 Four letters picked without replacement from foeoffefeoeeoee. What is prob of sequence eeof? 4/195 What is prob of sequence bb when two letters picked without replacement from {t: 6, b: 2}? 1/28 What is prob of sequence kk when two letters picked without replacement from kqyhkkhkkkikiqkchi? 28/153 Two letters picked without replacement from hhhhaahhrarhrihhhahh. Give prob of sequence ra. 3/95 Calculate prob of sequence nw when two letters picked without replacement from {n: 3, w: 4, k: 1}. 3/14 Three letters picked without replacement from nnnnnnmnnnnnmmnnnnm. Give prob of sequence nmn. 140/969 Four letters picked without replacement from hlllh. What is prob of sequence lhhl? 1/10 Three letters picked without replacement from aaaaassaasa. Give prob of sequence ssa. 8/165 Three letters picked without replacement from {z: 14, w: 1}. What is prob of sequence zzw? 1/15 Three letters picked without replacement from ccawccinbbwwbww. Give prob of sequence ibc. 2/455 What is prob of sequence yyyv when four letters picked without replacement from {y: 11, v: 9}? 99/1292 Three letters picked without replacement from {k: 1, b: 6, r: 3, z: 1, v: 5, c: 3}. Give prob of sequence ccr. 1/323 Three letters picked without replacement from {f: 3, v: 3, s: 2, o: 12}. Give prob of sequence fov. 3/190 What is prob of sequence ffl when three letters picked without replacement from {l: 8, f: 2}? 1/45 Four letters picked without replacement from xxhhhhhxxhhhhhhhhhh. What is prob of sequence xhhh? 455/3876 Four letters picked without replacement from mannnmnnmnmmrmamnmmm. What is prob of sequence mnrr? 0 What is prob of sequence ll when two letters picked without replacement from lldldsldldl? 3/11 What is prob of sequence lzl when three letters picked without replacement from {r: 2, z: 1, l: 7, o: 7, w: 2}? 7/969 Four letters picked without replacement from rmsgssiriqrs. What is prob of sequence rsqi? 1/495 Calculate prob of sequence benn when four letters picked without replacement from bnnebnnbnbe. 2/99 What is prob of sequence piq when three letters picked without replacement from {z: 7, p: 1, i: 6, q: 2, o: 1}? 1/340 Four letters picked without replacement from {t: 5, v: 1, q: 3, u: 1}. What is prob of sequence vqqt? 1/168 Calculate prob of sequence rrar when four letters picked without replacement from orarr. 1/20 What is prob of sequence pt when two letters picked without replacement from {g: 6, t: 1, p: 11}? 11/306 Calculate prob of sequence pxp when three letters picked without replacement from ggggxppggg. 1/360 Four letters picked without replacement from {j: 1, x: 6, o: 6, r: 1, w: 1}. Give prob of sequence xxor. 1/182 Four letters picked without replacement from usqsyusuasssqq. Give prob of sequence sssa. 5/1001 Two letters picked without replacement from ytryiyrrrr. What is prob of sequence tr? 1/18 Two letters picked without replacement from qrzxtrqx. What is prob of sequence xt? 1/28 Two letters picked without replacement from {d: 1, c: 16, s: 1}. What is prob of sequence cc? 40/51 Calculate prob of sequence ncdx when four letters picked without replacement from {i: 2, u: 2, d: 4, n: 6, c: 1, x: 4}. 1/969 What is prob of sequence rrur when four letters picked without replacement from {u: 1, r: 18}? 1/19 Calculate prob of sequence gst when three letters picked without replacement from ptipiitpspstppsgpgt. 4/969 What is prob of sequence vzv when three letters picked without replacement from vzjzvvv? 4/35 What is prob of sequence ro when two letters picked without replacement from obzjoroooj? 1/18 Calculate prob of sequence ggq when three letters picked without replacement from {q: 4, g: 7}. 28/165 What is prob of sequence pphh when four letters picked without replacement from phopp? 0 Calculate prob of sequence did when three letters picked without replacement from {d: 3, i: 5, v: 3, c: 3, p: 4}. 5/816 What is prob of sequence nun when three letters picked without replacement from {u: 2, s: 2, n: 4, w: 1}? 1/21 Two letters picked without replacement from uaaqmqqmmqaqafmifmfa. Give prob of sequence fq. 3/76 Four letters picked without replacement from {i: 4, h: 2, o: 3}. Give prob of sequence ohii. 1/42 Calculate prob of sequence ddbb when four letters picked without replacement from {b: 8, t: 5, d: 7}. 98/4845 What is prob of sequence opp when three letters picked without replacement from {w: 1, p: 6, o: 7, x: 6}? 7/228 What is prob of sequence qv when two letters picked without replacement from {b: 10, q: 2, v: 4}? 1/30 What is prob of sequence hjnh when four letters picked without replacement from jhnhjhhhhh? 1/60 Two letters picked without replacement from mmmmmm. Give prob of sequence mm. 1 Calculate prob of sequence ff when two letters picked without replacement from {f: 10}. 1 Two letters picked without replacement from {k: 1, p: 4, h: 5}. What is prob of sequence kp? 2/45 Three letters picked without replacement from zsszsssfzszzkddsz. What is prob of sequence zkf? 1/680 Calculate prob of sequence rrr when three letters picked without replacement from prrrrprrrp. 7/24 What is prob of sequence dctz when four letters picked without replacement from zccyzttdtdctzz? 4/1001 What is prob of sequence sos when three letters picked without replacement from ossl? 1/12 Calculate prob of sequence iqqz when four letters picked without replacement from {r: 7, i: 2, z: 1, q: 4}. 1/1001 Three letters picked without replacement from xdxxcxxcxxxdcic. What is prob of sequence dxi? 8/1365 What is prob of sequence fq when two letters picked without replacement from {f: 8, q: 3, t: 4, p: 2}? 3/34 Calculate prob of sequence rdrd when four letters picked without replacement from {r: 8, d: 10, p: 1}. 35/646 Four letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
u*d = -w + 4 for w. 2 Let k(r) = -r**3 + 10*r**2 + 13*r - 22. Let c be k(11). Solve c = 5*g, -2*a + 3 = a + 2*g for a. 1 Let o be -1 + -1 + 1 + (-24)/(-4). Solve -2*s = -c + 3, -o*s = -c - 7 + 22 for s. -4 Suppose -4*l - 3 + 11 = 0. Suppose -2*d - 14 = -5*v + 4*v, 0 = -l*v + d + 34. Solve 0 = 3*z - o - v, -2*z + 0*z = -5*o - 25 for z. 5 Let p(d) = d - 3. Let a be p(5). Suppose -3*o + a + 10 = 0. Solve -y = -o*g - 2*y + 8, y + 10 = 5*g for g. 2 Suppose -2*y + 4 = -10. Suppose 0 = y*r - 2*r + 30. Let z(f) = -f**2 - 7*f - 6. Let h be z(r). Solve -5*d + h*d - 4*a = 0, -3*d + a = -17 for d. 4 Let x be (-2)/4 - (-5)/2. Suppose -4*k + 20 = -o - o, -x*o = 8. Let t = 6 - k. Solve -6 = t*v, -14 = -0*c + 4*c + 3*v for c. -2 Suppose 4*o = -4*z - 4 - 0, -3*o - 18 = -2*z. Solve -z*c = -2*v + 17, -5*c - 13 = v - 2 for v. 4 Let u(t) = t - 6. Let q be u(10). Let o = q - -1. Solve -5*c + o = 3*a - 0, -5*c = 2*a for c. -2 Suppose -12 + 20 = o. Let a be (-662)/8 + 1/(-4). Let f be 1/(a/(-41) + -2). Solve f = -4*l + 5*r, -o - 1 = l - r for l. -4 Suppose -27*o = -9*o - 108. Solve -2*p + o = -5*p + 4*l, 4 = -2*p - l for p. -2 Let r(d) = -d - 1 - 1 + 2. Let x be r(0). Solve x = 5*g + w + 21, -3*w + 0 = 3*g + 3 for g. -5 Suppose -8 = -4*l - 4*g, -5*l + 4*g = -8*l + 1. Solve -9 = -3*a + 2*q + l, -2*a + 14 = -3*q for a. 4 Let a(h) = -6*h + 6. Let f(i) = -i - 5. Let w be f(-2). Let r be a(w). Solve 2*m - 5*y = 4*m - r, -4*y + 18 = m for m. 2 Let k(b) = -b**2 + 6*b + 74. Let i be k(-6). Suppose 0*q = 2*q. Solve -2*z - 2*f + 4*f + 14 = 0, q = z - i*f - 12 for z. 2 Suppose -3*m = 4*l - 25, -1 = m - 4*l + 12. Solve 15 = -m*z, -2 = w + 3*z + 9 for w. 4 Let v = -16 - -20. Solve 2*k = -2*o + 2, -5*k - v*o = -0*o for k. -4 Let m be 23 + -1 - (-2 + -1). Solve c + 2 - 13 = 2*q, -5*q - m = -2*c for q. -3 Suppose 0 = 5*a - 21 - 4. Suppose -2*y - 3*v = 0, -4*y + 0*y = 5*v - 4. Let o = -4 + y. Solve -w - a*h + 3*h = 6, -o*w - 3*h = 9 for w. 0 Suppose x - 80 = -4*x. Solve 0 = 2*z - 3*v - x, -5*z + 4 + 17 = 2*v for z. 5 Let y = -45 - -49. Solve -y*w = 2*s - 14, w - 4*s = s - 24 for w. 1 Let c(l) = l**3 - 4*l**2 + l - 1. Let y be c(4). Suppose y = -3*w + 4*w. Solve -5*k = -v - 3, k + w = -5*v - 12 for v. -3 Let z(v) = 2*v**2 - 2*v + 1. Let d be z(-6). Let m = d - 47. Solve -2*k - 9 = s, 5*k - s - 12 + m = 0 for k. -5 Let h(z) = z - 3. Let w be h(7). Suppose 204 = -6*q + w*q. Let r be 2/(-7) + q/(-14). Solve -2*s = -4*s + 6, -r = 4*m + 3*s for m. -4 Let q(w) = w**3 + 3*w**2 - w + 1. Let u be q(-3). Suppose 2*o = -0*o + u. Let i = -6 - -9. Solve 9 = -o*d + b, 0 = 2*d + 5*b - 4*b + i for d. -3 Suppose -q = 2*q - 9. Suppose -y + 5 = 0, -q*y = o + 2*o - 15. Solve o = -5*p - 2*b + 19, 3*p = -8*b + 3*b for p. 5 Let n = -66 + 69. Solve n*y + 17 = d, 2*y + 2*d + 4 = -d for y. -5 Let d be 85/15 + 2/6. Let k(z) = -d*z + 5*z - 4 - 5*z. Let f be k(-4). Solve 10 = l + 4*u - 1, 5*l + f = 5*u for l. -1 Let f(a) = -a**3 + 14*a**2 + 16*a - 11. Let v be f(15). Solve -3*j + 2*j - 20 = -4*r, -2*r - v*j - 8 = 0 for r. 4 Suppose 5*o = o - 16. Let k be 24 + o + 8/2. Let i = -29 + 64. Solve 3*n - i = 5*s - 1, -3*n = -3*s - k for s. -5 Suppose -10 = 2*f - 4*f - 2*w, 3*w - 18 = -4*f. Solve -17 = 3*g - 5*g - f*v, 5*v - 22 = 3*g for g. 1 Suppose -12*f + 6*f + 42 = 0. Suppose -3*a = -3*l - 2 - 7, -a - 5*l = -15. Solve -2*k + f = -j, -4*k = -5*j - 18 - a for k. 2 Let w be 2 + 4*(-4)/(-16). Suppose w*p - 4 = p. Solve -p*o = 3*o - 5, 4*o = -k + 9 for k. 5 Let s(d) = d**3 + 9*d**2 + d + 13. Let n be s(-9). Solve -i - n*p - 10 = 2*i, -4*i - 7 = -p for i. -2 Let v(w) = w**2 + 3*w. Let x be v(-6). Let t = x + -13. Suppose a = t*a - 16. Solve 5*l - 19 = -3*z, -3*z - 4*l + a = -2*l for z. -2 Let t = -48 + 57. Solve 24 = 4*w - 4*o, w = 5*w + o - t for w. 3 Let t(j) = j. Let f be t(0). Let r(o) = 3*o**2 + 2*o - 1. Let p be r(1). Suppose 5*b - 6 - p = f. Solve -3*l + 25 = -2*c, 9*c + b*l = 4*c - 15 for c. -5 Let c = -7 + 10. Suppose -5*f + 0*v + 113 = c*v, -4*f + v = -104. Suppose -4*k = k - f. Solve k*b = -13 - 7, -b = -4*g + 16 for g. 3 Let x(k) = -k**3 + 2*k**2 + 5*k - 4. Let m be x(3). Let c(i) = -i**3 - 11*i**2 - 2*i - 10. Let l be c(-11). Solve y = -p + 6, -m*p - y + l - 1 = 0 for p. 5 Let y(f) = -f + 7 + 0*f + 6 + 0. Let w be y(8). Solve -2*n = -w*m + 11, 5*m = n + 4*n + 20 for m. 1 Let v be (-3 - -7) + (-4)/4. Solve -3 = -3*q + w - 1, -v*w = 4*q + 6 for q. 0 Let v be (-2)/14 - (-12)/(-14). Let z be 4 + v + -3 + 0. Let g(j) = j**2 + 4*j + 3. Let u be g(-4). Solve -4*k = 4, -u*k + z*k = a for a. 3 Let l be (-1)/((-1)/(2 + 1)). Suppose -l*b = -2*b - 2. Suppose 0 = -5*g - b*m + 17, 5*m = 2*g + 4*m - 5. Solve -3*p - 14 = 4*q, q + 0 - 4 = g*p for p. -2 Let n = -2 + 2. Solve 4*f + 26 = 3*g - n, 10 = 5*g for f. -5 Let c = -13 - -29. Solve c = -2*w - 4*l, 6 = -w - 4*l + 3*l for w. -4 Let n = 22 + -22. Solve 0 = 3*q + 2*d - 7, 8 = -n*d - 2*d for q. 5 Let p be (2 + 3 + -3)/(8/20). Solve 6*x - p = v + x, 0 = -x for v. -5 Let k(z) = z. Let w be k(0). Solve -2*v = 2*v + 12, -5*l + 3*v + 14 = w for l. 1 Let j = -5 + 10. Let m = j - 5. Solve 4*b + 3*l = 15, m*b - 10 = 3*b - 2*l for b. 0 Let d be ((-10)/25)/(2/(-5)). Suppose 5*x - 4*h - 24 = 0, 31 + d = 3*x + 2*h. Let c be 4/x - 7/(-2). Solve 0 = b - 2*i - 2, 5*i = -b + 5 + c for b. 4 Let w(h) = h**2 + 3*h - 2. Let x be w(-4). Let p be (-1 - -2)/(x/8). Suppose p*i = i. Solve v - 11 = -b - b, i = 2*b - 8 for v. 3 Let k be (-24)/(-32)*(-4)/1. Let q be ((-6)/(-5))/(k/(-30)). Solve 0 = 2*b - 2*u + q, b = 4*b - 4*u + 21 for b. -3 Suppose -3*y = -2*k + 25, -2*k + y + 35 = -0*y. Suppose -5*m + 4*x = -28, m - 5*m + 2*x = -k. Solve -8 = m*t, 2*a - 16 = t - 6 for a. 4 Suppose -q + 22 = 4*g - 3*q, 0 = -2*g + 2*q + 12. Solve n + 13 = -n + g*a, -3*n - 10 = 2*a for n. -4 Suppose -28 = -4*x + 3*c, -3 = -2*x + 3*c + 17. Let j = 2 - -4. Let t be (0 - -2)*15/j. Solve -14 = x*i + 2*q - 4, 4*i + t = -q for i. 0 Let q(n) = -n - 9. Let v be q(-12). Suppose 0*u + u + 14 = -v*r, 2*r = -5*u - 18. Let i = 2 + u. Solve -35 = 5*p - 6*d + d, i = -4*p - 4*d + 12 for p. -2 Let z = 6 - 4. Suppose k + 20 = 3*v, -z*v + 0 = k - 10. Let i be (v/(-18))/((-1)/3). Solve d + i = -h, 0*h - 5*h = d - 15 for h. 4 Let q be 4/14 + 1552/56. Suppose 3*g - 17 = -2*x, 0 = -2*g - 2*g - 4*x + q. Solve f + k = -g*f + 1, 3*k = -4*f + 3 for f. 0 Let d = -2 + 4. Solve r = 5*u + d*r, -2*u - r + 3 = 0 for u. -1 Suppose j - 1 = 0, 4 = z + 2*j + 2*j. Let d(f) = 5*f + 1. Let a be d(1). Solve 5*v - 5*x - 5 = z, -a*v = -v + x - 23 for v. 4 Let o = 4 + 0. Suppose -2*c = 3*a - 4, 3*a - 2*a + o = 2*c. Solve 0 = c*q + 3*j - 14, 10*q - j = 5*q + 1 for q. 1 Let v be 54/10 - 6/15. Suppose -5 = -s - v*b, 3*b - 33 + 8 = -5*s. Suppose -s = -4*n + 15. Solve -5*l = -3*u - 19, -17 + 6 = 2*l + n*u for l. 2 Let q be 3 + -3 + 1 + 0. Let f be (q - 3)*(-10)/4. Solve 5*k = 2*u - 7 + 2, 5*k = -f*u - 40 for u. -5 Let l = 57 - 52. Solve 0 = l*i - k + 2*k + 7, 5*k = -5*i - 15 for i. -1 Let h = -14 + 26. Suppose 5*f + d + 15 = 0, -6*f - h = -2*f - 4*d. Let u be (-7)/((-14)/12) + f. Solve 5*z + 8 = -4*l, -u*l - 10 = -5*z - 4 for z. 0 Let z(m) = 5*m**3 + 1. Let l be z(1). Let p be (l/(-10))/(2/(-10)). Solve -3 = k - j, -p*j = 5*k + j + 24 for k. -4 Suppose 0 = -3*h + 10 + 5. Let b(o) = -o**3 + 3*o**2 - 2*o. Let z be b(2). Solve -7 = 2*p - z*p - x, -p + h*x = 26 for p. -1 Suppose 0*u + 4*u = 0. Suppose 3 = -3*f - 3*s, 2*s = -2*s - 8. Let v be f/(-4) - 17/(-4). Solve -6 = -d - 4*c, u*c - 6 = -v*d + 2*c for d. 2 Suppose 3*b - 2*g - 22 = -7, 3*g = 5*b - 24. Suppose 0*h + b = h. Suppose 8 = h*w + 2*w + 4*k, -w - 11 = 5*k. Solve 6 + 11 = 3*j - p, w*j = -p + 11 for j. 4 Suppose -2*k = 2*k. Suppose k*n = 3*n. Solve -m = -n*m + 4*d + 7, -2*m + 10 = -4*d for m. 1 Suppose -11*m + 4*m = -21. Solve m*x + 18 + 16 = -5*v, -3*v - 3 = -4*x for v. -5 Let z(g) = -g - g + 2 + 0*g. Let q be z(-9). Solve 4*b = -4*h - 15 + 3, 0 = -4*h - q for b. 2 Let t be (-1)/(-1*2/(-6)). Let w be ((-45)/10)/(t/(-4)). Let k be 4/w + 28/6. Solve 3*g = -3*m + 7*g + 22, k*m - 2*g - 16 = 0 for m. 2 Let f(g) = g**3 + g + 2. Let d be f(0). Suppose 14*i = 3*i + 33. Solve 3*p = 2*q + 1, -q + d - i = -2*p for q. 1 Let p be 4/(-12)*(-1 - 5). Solve 4*r - 3*r + 4*z = -20, -r - p*z = 10 for r. 0 Let t = -13 + 16. Let c
{ "pile_set_name": "DM Mathematics" }
= 4*k + 2*x + 372 - 398 for k. 3 Solve 899*x + 20 = -4*s + 896*x, 0 = s - 4*x - 14 for s. -2 Solve 0 = 3*m - 2*t + 18, 8*m + 37 = 2*t - 1 for m. -4 Solve 22 = -5*t + 7, 4 = 4*s - t + 49 for s. -12 Solve 4*i = 25*o - 26*o - 16, -12*o - 35 = -22*o - i for o. 4 Solve 0 = 3497*d - 3499*d - 3*y + 19, -2*d - 2*y + 14 = 0 for d. 2 Solve -4*r + 8 = -4*h, 3*r + 71 = -3*h + 89 for r. 4 Solve 3*n = 3*a + 28 - 19, 3*a = 2*n - 9 for a. -3 Solve 4*l + 75*h - 73*h + 10 = 0, -2*l = -h + 15 for l. -5 Solve 1582*t - 2*j + 10 = 1580*t, 2*t = -3*j + 30 for t. 3 Solve 3 = -v + 6*y, 3*v - 5 = 792*y - 788*y for v. 3 Solve 5*l - 40 = 76*y - 80*y, y = 5*l - 15 for l. 4 Solve -3*b + 4*n - 9 = 0, 551 = 2*b + 4*n + 517 for b. 5 Solve -14 = 5*i + 14399*m - 14398*m, 2*i - 4*m - 78 = 0 for i. 1 Solve 61 = 2*t + 3*h + 56, -t = -5*h + 30 for t. -5 Solve -64*h + 2*c = -62*h - 2, 0 = -5*h - 9*c - 51 for h. -3 Solve 52 = -4*q - 22*v, -164*q + 3*v + 16 = -169*q for q. -2 Solve -9*q = -5*o - 15842 + 15863, 0 = -3*q + 4*o - 21 for q. 1 Solve 6*o + 5*d + 14 = 0, 3*d + 0*d + 10 = -4*o for o. -4 Solve 0 = -u + j + 3, -33*u - 2 = -34*u + 2*j for u. 4 Solve 5*s - 4*k - 14 = -4, -4 = -2*s + 2*k for s. 2 Solve -40 = 3*c + 5*n, 0 = -4*n + 189 - 209 for c. -5 Solve 8*o = -q - 167, -5*o - 1691 + 1584 = -2*q for q. 1 Solve 36*m - 41*m - 2*a = 35, 0 = -13*m - 5*a - 90 for m. -5 Solve 5*g - 3*o - 10 = 0, 717*g - 705*g = 4*o + 8 for g. -1 Solve 3*p = -y + 19, -5*y - 66*p = -72*p + 31 for y. 1 Solve 4*g + 8 = 4*x, 3*x - 321*g = -317*g + 5 for x. 3 Solve 0*f - 2*p + 10 = -5*f, f + 5*p = -2 for f. -2 Solve -9*g - 53*n + 51*n + 23 = 0, 2*g - 4*n - 14 = 0 for g. 3 Solve 3*c = 5*r - 22, -490*r + 491*r = 2*c + 3 for r. 5 Solve g + 4*z = 18, -274*g + 271*g + 4*z = 26 for g. -2 Solve 3*h - 2*n = -57, -171*n = -h - 175*n - 33 for h. -21 Solve -23 = 5*z + s, 0 = 71*z - 75*z + 4*s - 28 for z. -5 Solve 3*a - 2*v = 4, -5*v + 10 - 5 = 0 for a. 2 Solve 135 - 147 = -2*a - 2*n, -5*a + 20*n - 45 = 0 for a. 3 Solve -o + 18 = -20*x + 22*x, 5*x + 5*o = 45 for x. 9 Solve -31*r - f = -28*r - 15, -61*f = 2*r - 734 for r. 1 Solve 4*s = -a + 8, 3*s - 6 = 3*a - 4*a for a. 0 Solve 2*p = -5*b + 13, -13*b + 14*p + 94 = 24*b - 35*b for b. 5 Solve 0 = -5*d - 2*l + 8, d - 69 = -12*l - 21 for d. 0 Solve -5*m = 4*z - 102 + 67, z = -2*m + 11 for m. 3 Solve 2*b = -5*r - 33, -3*b = -2*r - 0*b + 2 for r. -5 Solve -3*y - 3*m = 12, m + 3 = 1958*y - 1960*y for y. 1 Solve 2*t = -524*s + 526*s - 13 - 1, -5*t - 5*s - 45 = 0 for t. -8 Solve 27*j = -40*w + 31*j - 36, 4*j + 5 + 3 = -4*w for w. -1 Solve -4*t = -2637*m + 2635*m + 10, 4*m + 2*t + 10 = 0 for m. -1 Solve 0 = -2*v + 4*d - 22, 5*v - 36*d + 32*d + 7 = 0 for v. 5 Solve -84*m - 8 = w - 87*m, -5*m + 12 = -3*w for w. 1 Solve 21*g = 18*g + 9, i - 14 = -4*g for i. 2 Solve -283 + 195 = -15*s - 2*w, s = -2*w + 4 for s. 6 Solve v = -4*z - 9, -31 = -3*z - v - 41 for z. 1 Solve -4*i = -5*f + 12, i - 37*f + 3 = -36*f for i. -3 Solve -240*t - 4*d = -243*t + 22, -5*t - 2*d = -2 for t. 2 Solve 0 = 2*j - 5*f - 29 + 15, 13*f = -26 for j. 2 Solve 6*w - 144*q + 39 = -147*q, 9 = 2*w - q for w. -1 Solve 0 = -5*z + 4091*f - 4086*f, -4*z + 0*f + 6 = 2*f for z. 1 Solve 2*k + 3*m + 18 = 76, 0 = k - 3*m + 52 for k. 2 Solve 22 = -4*r - 2*d, -5*d + 31 = r + 14 for r. -8 Solve 2*x + 70 = 9*s, -39 = x + 49*s - 54*s for x. 1 Solve -5*u + 1213*x - 4 = 1214*x, 0 = 7*u + x + 8 for u. -2 Solve -6592 = 2*a - 5*l - 6543, 52 = -a + 5*l for a. 3 Solve 5*w = -176*k + 178*k - 54, -4*k - 2*w = 36 for k. -3 Solve 1247 - 2497 + 1251 = x - m, 26 = 10*x - 2*m for x. 3 Solve 6 = -5*k - q, -267 = -2*k - 6*q - 275 for k. -1 Solve 4*d + 10*z = -70, 0 = 5*d + 12*z + 644 - 559 for d. -5 Solve 6 = -4*g + 5*w, 348*w = 3*g + 347*w + 10 for g. -4 Solve 3*g + 3*x + 27 = 0, -4*g + 54*x - 63 = 49*x for g. -12 Solve -15*t + 4*l = -14*t - 20, -2*l = 2*t + 10 for t. 0 Solve a = 2, 856*g - 18 = 857*g - 7*a for g. -4 Solve -3*f - 3*s - 21 = 0, -5*f - 13*s + 4130 - 4181 = 0 for f. -5 Solve 0 = 3*k - 5*p - 10, 0 = k + 21814*p - 21812*p + 4 for k. 0 Solve 3*m = 2*j + 9, 286*m + 4*j = 284*m + 6 for m. 3 Solve 3 = -2*n + 5*h, -544*n + 545*n - 2*h + 1 = 0 for n. 1 Solve -g + 5*c + 6 = 0, -4*c - 6 = -4*g - 14 for g. -4 Solve 3*g + 18 = 2*u, 5*u - 95 = -2*g - 88 for g. -4 Solve 2*k + 465*v - 469*v + 71 = -21, 63 = 3*v for k. -4 Solve 0*o - 4*o = -32, -4*u = 5*o - 32 for u. -2 Solve 20 = 2*u + 3*t, 207*u - 211*u + 12 = -t for u. 4 Solve -g + 5184*u - 5186*u = 7, 4*g + 3*u - 2 = 0 for g. 5 Solve 3*b + b + 16 = 0, 39*b = -28*j + 38*b - 200 for j. -7 Solve -3*t - 4*u + 39 = 0, 772 = t + 3*u + 749 for t. 5 Solve -43*a = -38*a + 3*p - 10, -3*a = 9*p - 42 for a. -1 Solve h - 3369 = 5*w - 3394, -h = w - 5 for w. 5 Solve 0 = -3*j - 7 - 5, -2*j = 4*f + 8 for f. 0 Solve -12220*n + 17 = -5*g - 12224*n, -g + 4*n - 13 = 0 for g. -5 Solve p + 5*b + 12 = 0, 158*p = 153*p + 2*b - 6 for p. -2 Solve 0 = -4*b - 3*g + 27, 5*b = 4*g - 466 + 523 for b. 9 Solve 6*b = f - 39, 20*b + 26 = 4*f - 102 for f. -3 Solve 75*x - 55 = 2*o + 72*x, 0 = 4*o + x + 75 for o. -20 Solve -43 = 570*z - 574*z - 5*t, 0 = 5*z + t - 38 for z. 7 Solve -2*k + 2*g + 12 = 0, 2*k - 575 = -5*g - 584 for k. 3 Solve -3*t - 2*z - 1 = -0*z, 4*z = 4*t + 48 for t. -5 Solve 0 = 4*d + 3*q - 9, -2*d - 42*q + 11 = -47*q for d. 3 Solve 3*c + 72 = -3*n, n - 2*c = 3*c for n. -20 Solve -g + 2*s = 13, 0 = -5*g + 5061*s - 5057*s - 41 for g. -5 Solve -5*f + 9152 - 9123 = -4*i, -4*i + f - 9 = 0 for i. -1 Solve -5*k - 4*w = -18 + 47, 0*w = -5*w - 5 for k. -5 Solve 4*i = j + 14, 0 = -4*i - 5*j - 3422 + 3424 for i. 3 Solve 10 = -4*t - 2*n, -2*t + 3 - 6 = 3*n for t. -3 Solve 3*f = 4*q - 5, 6*f = -3*q + 11*f + 12 for q. -1 Solve -2*a - 6*m + 5 + 7 = 0, 3*m - 6 = -2*a for a. 0 Solve 4*p - 2*i - 22 = 0, 71*i - 74*i = -2*p + 25 for p. 2 Solve -3*a - 5*r - 24 = 0, -17*a - 2*r - 103 = -125 for a. 2 Solve 13*g - 21 = 21*g - 5*g, 0 = -3*r - 4*g - 34 for r. -2 Solve -2*p - b + 31 = 0, 19083*p - 29 = 19081*p - 3*b for p. 16 Solve 4*f - 7*f - t + 10 = -9*t + 26, 0 = -3*t + 6 for f. 0 Solve 1432*k - 3*g + 6 = 1435*k, -13 = -5*k - 2*g for k. 3 Solve -4*l = 3*s - 46, l - 4*s - 1014 = -993 for l. 13 Solve -d + 5*p = -15, -p - 3 = -39*d + 40*d for d. 0 Solve -5*n - 18 = -2*i, -2 + 12 = 6*i - 4*n for i. -1 Solve -2*x + b = -18, 45 = 1625*x - 1622*x + 3*b for x. 11 Solve m + 7 = -q, -334*q + 76 = -350*q - 4*m for q. -4 Solve -i = -5*y + 8, 5*i + 1016*y = 1015*y - 14 for i. -3 Solve -5*b + 5*u = -120 + 20, 14 = -5*b - u for b. 1 Solve -4*m - j - 14 = 0, -19*m + 21*m + 18 = 5*j for m. -4 Solve 3*v - 59 = 5*y, -62*y + 25 = -66*y - 5*v for y. -10 Solve 2*q = 147*n - 144*n - 56, -3*n = -q - 55 for q. -1 Solve 6*u - 10*i - 39 = -9*i, -5*i - 63 = -8*u for u. 6 Solve -4*f = -4*y, -y = -96 + 99 for f. -3 Solve 86*t - 3 = i + 87*t, -5*t = -i + 21 for i. 1 Solve -5*t + 3*k = 22, -277*t + 276*t = 3*k - 10 for t. -2 Solve 7*b = -3*c + 95, -4*b + 2*c + 16 = -42 for b. 14 Solve -4*k = 3*y - 39, 21 = 21*k - 20*k + 3*y for k. 6 Solve 37*w - 9 = 29*w + 3*w - 3*y, 2*y - 6 = 4*w for w. 0 Solve -n = -4*d - 3, n - 50*d + 9 = -52*d for n. -5 Solve 3*b - 16976 + 16950 = i, 38 = i + 5*b for i. -2 Solve 22*q - 17*q - 2*a + 10 = 0, -4*a = -4*q + 3 + 1 for q. -4 Solve -2*m = -4*c - 2 + 4, 4*m = -3*c - 4 for c. 0 Solve -668*t - 3*x + 71 = -643*t, 3*t + 4*x - 34 = 0 for t. 2 Solve -5*r = 3*a - 20, -3*r = -92*a + 89*a - 12 for r. 4 Solve 146*q - 2*n + 56 = 153*q, 4*n = -4*q + 32 for q. 8 Solve -831 + 786 = -2*n + 5*c, 27 = 4*n - c for n. 5 Solve 0 = -2*i + w + 4, -5*i - 450*w + 454*w + 1 = 0 for i. 5 Solve -t + 2*y - 236 = -230, 2 = 2*t + 3*y for t. -2 Solve -2*h + 4*s + 26 = 0, 26*h - 22*h + 3*s + 3 = 0 for h. 3 Solve 0 = 3*f - 4*s + 17, 24*f - 18 = 21*f - 3*s for f. 1 Solve -85 = 19*l - 2*t, 4*t + 1626 - 1670 = -4*l for l. -3 Solve 5*x = -3*o + 42, 535*x - 531*x + 56 = 4*o for o. 14 Solve -a - 5*c - 87 = -128, -13 = -5*a - c for a. 1 Solve 28*c - 23*c = 3*r - 137, 4*r + 359 = -15*c for r. 4 Solve -194*v - n - 20 = -189*v, -3*n + 8 = -2*v for v. -4 Solve 4*l = -2*t + 74 - 28, 0 = -5*l + 2*t + 44 for l. 10 Solve 3*l - 479*g + 13 = -478*g, 40 = 4*g for l. -1 Solve -5*b = -4*w + 13, b - 92*w = -95*w + 5 for b. -1 Solve -4*b + 16 - 33 = 9*v, -4*v + 1 = b for b. -11 Solve -2*z
{ "pile_set_name": "DM Mathematics" }
ams to milligrams. 554918200 Convert 72.48507 grams to kilograms. 0.07248507 Convert 8.93333 millennia to centuries. 89.3333 What is 17/2 of a centimeter in micrometers? 85000 What is one fifth of a week in minutes? 2016 What is 11/2 of a week in minutes? 55440 How many hours are there in 69.966603 milliseconds? 0.0000194351675 How many minutes are there in eight sevenths of a week? 11520 How many decades are there in 0.3392121 months? 0.0028267675 What is 0.2645243ng in grams? 0.0000000002645243 Convert 59.80867s to microseconds. 59808670 Convert 578800.3 millennia to centuries. 5788003 What is 47/4 of a second in milliseconds? 11750 How many seconds are there in one ninth of a day? 9600 How many micrograms are there in 7/4 of a milligram? 1750 Convert 0.7376725 litres to millilitres. 737.6725 How many meters are there in 74/5 of a kilometer? 14800 How many minutes are there in one fifth of a week? 2016 How many litres are there in 65.00432 millilitres? 0.06500432 How many months are there in fifty-seven fifths of a decade? 1368 How many minutes are there in 8/3 of a day? 3840 Convert 9.174326us to seconds. 0.000009174326 How many seconds are there in twenty-one fifths of a minute? 252 What is 3/25 of a millennium in months? 1440 How many nanograms are there in 3257.561t? 3257561000000000000 Convert 4769.901 weeks to hours. 801343.368 What is 6/25 of a kilogram in grams? 240 What is fifteen quarters of a litre in millilitres? 3750 Convert 3517.772 days to seconds. 303935500.8 What is 890.4315 milligrams in nanograms? 890431500 How many months are there in ten thirds of a century? 4000 Convert 3223.124 millimeters to micrometers. 3223124 What is 59/4 of a millimeter in micrometers? 14750 What is 696003.9 weeks in milliseconds? 420943158720000 How many micrograms are there in 6729.691ng? 6.729691 What is 29/5 of a gram in milligrams? 5800 How many milligrams are there in 502.7812kg? 502781200 What is fifty-nine quarters of a microgram in nanograms? 14750 How many minutes are there in 1/6 of a day? 240 What is seven quarters of a kilogram in grams? 1750 What is 165.5699 millilitres in litres? 0.1655699 What is 1/20 of a micrometer in nanometers? 50 What is 83149.85 nanometers in centimeters? 0.008314985 How many decades are there in 11091.03 months? 92.42525 What is 3593.598 milligrams in nanograms? 3593598000 What is 5/8 of a litre in millilitres? 625 Convert 383.9933 centimeters to meters. 3.839933 How many litres are there in 26887.44 millilitres? 26.88744 What is 0.5653078km in micrometers? 565307800 Convert 5803.489 weeks to seconds. 3509950147.2 How many milligrams are there in 83.4686 tonnes? 83468600000 What is 3/10 of a week in minutes? 3024 What is 916900.8 millimeters in centimeters? 91690.08 What is six fifths of a hour in minutes? 72 Convert 6791.21982ns to weeks. 0.00000000001122886875 How many meters are there in 6/5 of a kilometer? 1200 How many litres are there in 0.1620429ml? 0.0001620429 How many months are there in three fifths of a century? 720 What is 449377.5 years in centuries? 4493.775 How many minutes are there in 13/5 of a day? 3744 What is 3/8 of a tonne in kilograms? 375 Convert 0.5917976um to meters. 0.0000005917976 Convert 45.78302 grams to nanograms. 45783020000 How many years are there in 51.60425 millennia? 51604.25 How many minutes are there in three fifths of a week? 6048 How many centuries are there in 43.2953 millennia? 432.953 Convert 488464.2 millilitres to litres. 488.4642 What is 52/5 of a millennium in centuries? 104 What is 3/40 of a litre in millilitres? 75 How many centuries are there in 4792.581 millennia? 47925.81 How many kilograms are there in one tenth of a tonne? 100 What is 3/10 of a millennium in decades? 30 Convert 5659.542ml to litres. 5.659542 How many milligrams are there in 3/40 of a kilogram? 75000 How many centimeters are there in 21/4 of a meter? 525 What is 331.0008s in microseconds? 331000800 How many meters are there in 7/2 of a kilometer? 3500 What is one quarter of a kilogram in grams? 250 How many years are there in 3847.644 months? 320.637 What is 1/15 of a minute in milliseconds? 4000 How many seconds are there in 43/4 of a hour? 38700 How many nanometers are there in 9688.356 micrometers? 9688356 How many millilitres are there in 27.98252 litres? 27982.52 How many litres are there in 0.0688171 millilitres? 0.0000688171 How many micrometers are there in 2/125 of a centimeter? 160 How many nanograms are there in 19/4 of a microgram? 4750 What is 1/6 of a day in minutes? 240 How many years are there in 18782.74 millennia? 18782740 What is five sixths of a day in hours? 20 How many microseconds are there in 213.808 hours? 769708800000 How many milliseconds are there in 92.489s? 92489 How many milliseconds are there in 47.5864 nanoseconds? 0.0000475864 What is 1.155966mg in grams? 0.001155966 What is 2894.1696 minutes in days? 2.00984 Convert 11966.12 litres to millilitres. 11966120 How many microseconds are there in 0.1841534 seconds? 184153.4 What is 5/4 of a litre in millilitres? 1250 How many months are there in 2/15 of a millennium? 1600 Convert 63853.66km to nanometers. 63853660000000000 What is 1995.184 years in decades? 199.5184 Convert 81.6894s to microseconds. 81689400 How many years are there in five eighths of a millennium? 625 Convert 2689.076l to millilitres. 2689076 How many millimeters are there in 51/5 of a centimeter? 102 Convert 1.135032 millennia to years. 1135.032 How many millilitres are there in 32/5 of a litre? 6400 What is 598046.1 years in decades? 59804.61 What is twenty-nine halves of a litre in millilitres? 14500 How many nanoseconds are there in 3450.913 weeks? 2087112182400000000 How many millilitres are there in sixty-one quarters of a litre? 15250 What is 6/5 of a litre in millilitres? 1200 How many seconds are there in eight thirds of a hour? 9600 Convert 572.3926 centuries to decades. 5723.926 What is 1/20 of a century in years? 5 Convert 21580.4 hours to milliseconds. 77689440000 What is 6/5 of a decade in years? 12 What is 628580.6cm in millimeters? 6285806 How many millilitres are there in 2753.961 litres? 2753961 What is 11/8 of a litre in millilitres? 1375 What is five quarters of a meter in centimeters? 125 What is 3/32 of a kilometer in centimeters? 9375 What is 11/8 of a century in months? 1650 How many nanograms are there in one fifth of a microgram? 200 What is 281038.5 years in millennia? 281.0385 What is 8/15 of a minute in milliseconds? 32000 What is 1/5 of a century in years? 20 How many nanograms are there in 31/5 of a microgram? 6200 What is 6335.979 nanograms in milligrams? 0.006335979 Convert 1.21814 litres to millilitres. 1218.14 What is 7/3 of a century in months? 2800 What is three tenths of a litre in millilitres? 300 What is 3/8 of a litre in millilitres? 375 How many meters are there in 5/8 of a kilometer? 625 What is 18534.88 microseconds in milliseconds? 18.53488 Convert 15.7759kg to milligrams. 15775900 What is 3/5 of a meter in millimeters? 600 What is 4106.103l in millilitres? 4106103 How many micrograms are there in 2482.943 tonnes? 2482943000000000 What is 43152.09 millilitres in litres? 43.15209 What is 4/3 of a minute in milliseconds? 80000 How many kilograms are there in twenty-one quarters of a tonne? 5250 What is 26/5 of a decade in years? 52 What is 12/25 of a microgram in nanograms? 480 How many nanoseconds are there in 1/64 of a millisecond? 15625 What is 27/4 of a meter in centimeters? 675 Convert 396804.744ms to weeks. 0.0006560925 Convert 51.23408 years to decades. 5.123408 Convert 7.676529km to meters. 7676.529 What is 532015.1g in micrograms? 532015100000 What is 389247.4ug in kilograms? 0.0003892474 What is eight thirds of a year in months? 32 Convert 684389.5 litres to millilitres. 684389500 What is 9215.007l in millilitres? 9215007 How many nanometers are there in 26/5 of a micrometer? 5200 How many years are there in 0.7889037 millennia? 788.9037 How many millilitres are there in one tenth of a litre? 100 How many years are there in 239392.5 months? 19949.375 What is 368.8333 millilitres in litres? 0.3688333 What is 9636.831 centuries in years? 963683.1 What is 83.6969l in millilitres? 83696.9
{ "pile_set_name": "DM Mathematics" }
+ 5*f + f - 8*f. -2*f Expand ((1 + 0 + 0)*(8*y**3 - 3*y**3 - y**3) - y**3 + y**3 - y**3)*(2*y**2 + 3*y - 3*y). 6*y**5 Expand -2*r**4 - r**4 + r**4 - r**4 - 2*r + 2*r + (-2*r**3 - 3 + 3)*(0*r + 3*r - r). -7*r**4 Expand (0*q - q - 4*q)*(13*q**3 + 101*q - 101*q). -65*q**4 Expand (0*f**3 - 2*f**3 + 4*f**3)*(17*f + f - 3*f). 30*f**4 Expand 3*b**2 + b**2 - b**2 + (2 + 2*b - 2)*(0*b - 2*b + 0*b) + b**2 + 2*b + 3*b**2 - 16*b**2. -13*b**2 + 2*b Expand (-2*q**3 + q**3 - 8*q**3)*(-3 + 5 - 1 - q). 9*q**4 - 9*q**3 Expand (-o**3 - 2*o + o - o)*(3*o + 4*o - 2*o). -5*o**4 - 10*o**2 Expand (-c - 3*c + 2*c + (0 - 1 + 3)*(-5*c + c + 2*c) + 3*c + 3*c - 4*c - 3 + 3 - c)*(2 - 6 + 3). 5*c Expand (3*v - 5*v**2 - 3*v)*((2*v - 2*v + 2*v)*(-2*v - 2*v + 6*v) + 12 - 12 + 11*v**2). -75*v**4 Expand 5*x**3 + 3*x**3 - 5*x**3 + (-x**2 - 3*x**2 + 3*x**2)*(0*x - 6*x + 4*x). 5*x**3 Expand -3*v**4 - v**4 + 2*v**4 + (3*v - 2*v - 2*v)*(v**3 - 4*v**3 + 2*v**3) - 2*v**4 - 3*v**2 + 3*v**2. -3*v**4 Expand (-1 - 2 + 0)*(-s**3 + 66 - 67 - s**3). 6*s**3 + 3 Expand -1 + u**4 + 1 - u**4 + 2*u**4 + u**4 + (u**4 - 3*u**4 + u**4)*(1 - 3 + 3) + (-2*u + 3*u + u)*(-2 + 2 - 2*u**3). -2*u**4 Expand (-s - 2*s + 5*s)*(-4 + 1 + 1) + (-s + 2*s - 2*s)*(-1 + 2 + 1) + 3 + s - 3 - 7*s + 3*s - 2*s. -11*s Expand (34 + 3 + 3)*(r**5 - r**5 - r**5). -40*r**5 Expand (2*x**2 - 6*x**2 + 2*x**2)*(-4*x**2 + 3*x**2 - 2*x**2 + 2*x**2 + 0*x**2 - 4*x**2 + (x - 2*x - x)*(2*x - x + 0*x)). 14*x**4 Expand (-2 + 1 + 0)*(-2*m**2 - 4*m + 8*m**2 + 0*m). -6*m**2 + 4*m Expand (-3*z + 3*z + z)*(0*z - 4*z + 5*z) + (4*z**2 - 3*z**2 - 3*z**2)*(2 + 0 + 1). -5*z**2 Expand -7*k**3 + k**4 + 7*k**3 + (1 - 1 - k)*(2*k**3 + k**3 - k**3) - 2*k**4 - k**4 - k**4 + (k - k + k**4)*(-1 - 3 + 2). -7*k**4 Expand (-2*a**3 + 0*a + 0*a)*(-73*a + 135 - 135). 146*a**4 Expand (5*w - w - 6*w)*(3 - 1 - 1)*((-2*w + w + 0*w)*(-2 + 2 - 2) + 2*w + 1 - 1). -8*w**2 Expand 3 - 3 + 4*h - 2*h - 4 + 4 + (5 + 0 + 0)*(4 - 2*h - 4). -8*h Expand -g - g - 6*g + (1 + 0 - 2)*(-2*g + 6*g - g) + 2*g - 2*g - 2*g + (g + 0 + 0)*(-2 + 0 + 0) + (2 - 2 + 1)*(-g + 4*g - g) + g - 4 + 4 - 2 + 2 + g. -11*g Expand -13*i + 10*i + 6*i + (1 - 5 + 3)*(-3*i + 0 + 0). 6*i Expand (-1 + 1 + 3*z**2)*((0*z + 3*z - 4*z)*(1 - 3 + 0) - 2*z + 5*z - 4*z + (-1 + 1 - 2*z)*(-3 + 2 + 2) - 3*z + 0*z + z). -9*z**3 Expand (3*y + y - 2*y)*(3 - 1 - 4)*(1 + 0 + 1)*(-3 - 1 + 7). -24*y Expand (-3 + 3 + s)*((-2 - 1 - 1)*(-2 + 2*s + 2) + s - 4*s - 2*s). -13*s**2 Expand (1 + 9 - 3)*(2*s**2 - 4*s**2 - 3*s**2)*(-1 + s**2 + 1). -35*s**4 Expand 2*r - 7*r**2 + 3*r**2 - r + (-4 + 4 - 2*r**2)*(13 + 0 + 1). -32*r**2 + r Expand (-2*h**2 - h**2 + 4*h**2 + 4 + h**2 - 4 + (-h - 2*h + 5*h)*(-h - 2*h + h) - 2*h**2 - 1 + 1)*(-4 + 4 + 4*h). -16*h**3 Expand f**3 - 15*f - 2*f**3 + 12*f - 2*f**4 + (-3*f - f + 5*f)*(3*f**3 - 2*f**3 - 2*f**3) - f**4 + 3*f**4 - 4*f**4. -5*f**4 - f**3 - 3*f Expand (-3 + 5 - 4)*(8*m**2 + 9*m**2 - 3*m**2) + (-3 + 3 + m)*(2 + 2 - 3)*(3*m + 2 - 2). -25*m**2 Expand m**2 - m**2 - m**2 + (-5 + m + 5)*(-8*m + 0*m + 33*m). 24*m**2 Expand (1 - 1 - k)*(-2 + 4 - 3)*(3 + 1 - 5)*(4*k**2 + 3*k**2 - 5*k**2). -2*k**3 Expand (-16 + 31 + 4)*(2*o**2 + 4*o - 4*o). 38*o**2 Expand (10*w + 0*w - 7 - 8*w)*(0*w + 3*w - 2*w). 2*w**2 - 7*w Expand (-3 - 1 + 1)*(4*h + 0*h - h)*(-h + 3*h + 0*h). -18*h**2 Expand (-q**2 + 5*q - 5*q)*(-2*q - 2*q + 3*q) + 23*q**3 - 7*q**3 - 11*q**3. 6*q**3 Expand (0*s + s - 3*s)*(2*s**2 - 2*s**2 - s**2) - 4*s**3 + 2*s**3 + s**3. s**3 Expand (-1 - 1 + 3)*(-2*t**4 - 2*t**2 + 2*t**2 + (-3 + 1 + 4)*(-4*t**4 + 0*t**4 + 3*t**4) + 0*t**4 - t**4 + 3*t**4 + (-3 + 3 - 2*t)*(1 + 3*t**3 - 1)). -8*t**4 Expand (2*h**2 - 2*h**2 - 2*h**3)*((1 + 4 - 4)*(-33 - 35 + 51) + (-2 + 3 + 1)*(1 - 3 + 0)). 42*h**3 Expand -b + 4*b - 4*b + (-1 + 3 + 0)*(b + 2*b - 5*b) + 3*b + 3*b - 5*b + 2*b + 0*b + 0*b. -2*b Expand ((4 + 2*z - 4)*(-1 - 1 + 0) + 1 - 2*z - 1 + 2*z - 2 + 2 + 4*z - 2*z + 0*z + 4*z - 4*z - 2*z + 4*z - 4*z - 3*z)*(2*z**3 + 0*z**2 + 0*z**2). -14*z**4 Expand -10*h**3 + 10*h**3 + 3*h**5 + (-h**2 - h**2 + 3*h**2)*(-h**3 - 2*h**3 - h**3)*(-2 + 1 + 0). 7*h**5 Expand (2*z - 6*z + 2*z)*(-6*z - 3*z - 2 - z). 20*z**2 + 4*z Expand (4 - 4 - 2)*(h**4 + 0*h**4 + h**4) + (3*h + 2*h - h)*(-1 - 5 + 0)*(3*h**3 - 2*h**3 - 3*h**3). 44*h**4 Expand (-4*z - 21*z - 4*z)*(-2*z**2 - z + z) + 2*z**3 + z**3 - 2*z**3. 59*z**3 Expand (-l**2 - l**2 + l**2)*(2*l**2 - 27 - 4*l**3 + 8*l**3 - 2*l**3). -2*l**5 - 2*l**4 + 27*l**2 Expand (2*m - 2*m + 10*m)*(-4 + 4 - m) + (4 + 1 - 4)*(3*m - 3*m - m**2). -11*m**2 Expand (-6 + 7 + 7)*(2 - 2*a - 2). -16*a Expand (0 + 0 - 2*b**2)*(-12 + 2*b - 3*b - b). 4*b**3 + 24*b**2 Expand (0*x + 0*x - x)*(-x**2 + x**2 - 4*x**2) + 4*x**3 - 4*x**3 - 2*x**3. 2*x**3 Expand 6*f**4 - 2*f**4 - f**4 + (-f + f - f**3)*(-f - 3*f + 2 + 3*f). 4*f**4 - 2*f**3 Expand ((3*l**2 + 0*l**2 + 0*l**2)*(1 + 1 - 1) + l**2 + 3*l**2 - 2*l**2)*(l**3 + 4*l**3 - 3*l**3). 10*l**5 Expand (-8 + 3 - 2)*(2*b**2 + 2 - 2 - 9*b). -14*b**2 + 63*b Expand -2*z**4 - z**2 + z**2 + (0*z - 2*z + 0*z)*(-3 + 3 + 4*z**3) + (z + 2 - 2)*(0*z**3 - z**3 + 3*z**3). -8*z**4 Expand (3 + 0 - 5 + o)*(0 + 2 + 7)*(1 + 0 - 2)*(-2 - 1 + 1). 18*o - 36 Expand ((1 + 0 + 1)*(2*p + 3*p - 6*p) + 2*p - 2*p - 2*p - 3*p + 5*p - 4*p + p - p + p)*(4 + 14 - 10)*(-1 + 2 - 2). 40*p Expand -13*i**3 - 29*i**3 + 57*i**3 + (-3*i + 0*i + 4*i)*(3*i**2 - 5*i**2 + 3*i**2). 16*i**3 Expand (-2 + 3 - 2)*(2*h + 3*h - 4*h)*(0 + 0 + 2*h) - 18*h**2 + 22*h**2 + 7*h**2. 9*h**2 Expand (2*f**3 - 2*f**3 - 2*f**3)*(0 + 4 - 2) + 2*f**2 - 2*f**2 - 2*f**3 + 2*f**3 - 4*f**3 + f**3 + 0*f + 4*f**3 + 2*f - f. -3*f**3 + f Expand (2*n**2 - 5*n**2 + 0*n**2)*(4 + 2 - 5)*(1 + 5 - 1). -15*n**2 Expand ((-3 + 3 + 3*g)*(3 - 3 - 2*g) - 2*g**2 - 3*g**2 + 3*g**2)*(-g**2 + 3*g**3 + g**2). -24*g**5 Expand (3*y + y - 2*y)*(27 + 33*y**2 - 27). 66*y**3 Expand (0 - 4 + 2)*(-5*q**3 + 4*q**3 + 3*q**3) - q**2 - 2*q**3 + q**2 - 6*q**3 + 15*q**3 - 4*q**3. -q**3 Expand (2*d + 3*d + 0*d)*((1 - 1 + 2)*(0 + 1 + 1) - 1 + 2 - 2). 15*d Expand (2 - h - 2 - 3*h - 3*h + 4*h - 5*h + h + h + (0*h + 2*h + 0*h)*(-1 + 4 - 4) + 2 - 2 - 2*h - h + 2 - 2)*(-h**2 + 0*h**2 + 2*h**2). -11*h**3 Expand (-2*k + 17 - 17)*(2 - 1 - 2) + 3*k - 2*k + 0*k + 2 + (-5 + 4 + 2)*(-3*k + 0*k + 5*k). 5*k + 2 Expand (4 - 1 - 5)*(-2*q**3 + 3*q**3 - 2*q - 2*q). -2*q**3 + 8*q Expand (5*n**2 + n + 2*n**2 - n**2 + 1)*(-2*n**3 + 0*n**3 + 0*n**3). -12*n**5 - 2*n**4 - 2*n**3 Expand (0 + 2*h**2 + 0)*(-5*h + 2*h + 10*h) + 2*h**3 - 3*h**2 - 2*h**3 - h**3. 13*h**3 - 3*h**2 Expand (-4 + 4 - h)*(-3 + 0 - 3) + 2*h + 2*h - 2*h. 8*h Expand (-2*m + 1 - 1)*(-2 + 1 + 2) - 4*m - m + 6*m + (8 + 4 - 3)*(9 - 9 - 5*m). -46*m Expand (2*a - 2*a - 3*a**3)*((3 - 5 + 1)*(-1 + 3 + 0) + 0 + 4 - 5). 9*a**3 Expand (-16*v - 23*v**3 + 16*v)*(-4*v**2 + 6*v**2 - v**2). -23*v**5 Expand (-36*f - 7*f + 11*f)*(-3 + 2 + 3). -64*f Expand (-2*r**2 - r + r)*(-2*r**2 + 2*r**2 + r**2) + 0 - 6*r**4 + 0 + 3*r**4 - 4*r + 4*r. -5*r**4 Expand (6*g - 4*g + 0*g)*(-3*g**4 + 2*g**4 + 2*g**4) + 5*g**5 - 3*g**5 - 3*g**5. g**5 Expand (2*h + h - 2*h)*(h - 2*h + 2*h) + (3*h + 25 - 20 - 4*h)*(6 - 3*h - 6). 4*h**2 - 15*h Expand (-c - 1 - 5 + 2)*(c - 3*c + 7 - 6). 2*c**2 + 7*c - 4 Expand (-o - o + o)*(3 + o**4 - 3) + (-2*o + 1 - 1)*(2 - 1 - 2)*(-19 + 19 - 12*o**4). -25*o**5 Expand v + 0 + 0 + (-5 + 3 + 0)*(-1 + 0 + 3)*(-6*v + 1 - 1). 25*v Expand 0 + d + d - 1 + 2*d + 4 - 4 + 0*d + d - 2*d + (-3*d + 5*d + 0*d)*(1 - 3 + 4). 7*d - 1 Expand (k + 2*k - 5*k)*(3 - 4 - 2 + 3 - 5 + 0 + 4 + 1 - 6 + (3 + 4 - 5)*(0 - 1 - 1)). 20*k Expand (-15*z + 31*z - 15*z)*(2*z**2 + 3*z**3 - 2*z**2). 3*z**4 Expand (5*n**2 - 3*n**2 + n**2)*(-31 + 5 - 11). -111*n**2 Expand (0 + 2 + 0)*(-2 + 2 + 2)*(1 - 2*p - 1). -8*p Expand (7*j**4 + j**4 - 19*j**4)*(1 + 4 - 3) - 2*j - 2 + 2 - j**4. -23*j**4 - 2*j Expand (2*a - 15 + 3*a**2 - a**2 + 6)*(-3*a + 3*a - 2*a)*(1 - 2 + 2). -4*a**3 - 4*a**2 + 18*a Expand -3*j**4 - j**5 - 5*j**2 + j**4 + 13*j**2 - 2*j**5 - 4*j**2 + 4*j**2 + (3*j - 4*j + 2*j)*(-j**4 + 4*j**4 - 2*j**4) + 5*j**3 - j**5 - 5*j**3. -3*j**5 - 2*j**4 + 8*j**2 Expand 5*x**4 - 2*x**4 - x**4 + (4 - x - 4)*(-3*x**3 - x**3 + 0*x**3). 6*x**4 Expand (-55*h + 87*h + 65*h)*(-2 - 2 + 2). -194*h Expand -17*x + 10*x - 7*x + 1 - 1 + 2*x + (-2 + 3 + 2)*(0 + 0 - x) + 3*x + 4*x - 5*x. -13
{ "pile_set_name": "DM Mathematics" }
+ 7242 = 21*o. What is the thousands digit of i? 3 Let v = 21 - -190. Suppose -22*k + 13463 = -6711. Suppose -k = -4*u + v. What is the units digit of u? 2 Let g be (4/(-8))/(1/(-18)). Suppose -8*c + 2652 = g*c. What is the tens digit of c? 5 Let u = -11969 - -21362. What is the units digit of u? 3 Let q be (21/63)/(2/(-36)). Let b(u) = -62*u - 26. What is the units digit of b(q)? 6 Let k(x) = -2*x**3 - 6*x**2 - x + 23. Suppose -5*m = -4*m + 6. What is the tens digit of k(m)? 4 What is the units digit of (3/2)/(-1)*(-282580)/6? 5 Let q = -141 + 123. What is the tens digit of (-7834)/q - (-10)/(-45)? 3 Let q = -52 - -46. Let u be 430/q + 14/(-42). What is the tens digit of (u/7)/(-4)*21? 5 Let a be 11/4 - (5 + (-84)/16). Suppose 2*l + 3*c + 2*c + 5 = 0, -a*c - 4 = l. Suppose -655 = -l*x - 3*n + 4*n, 2*n - 380 = -3*x. What is the tens digit of x? 3 Suppose -651 = -8*q - 107. What is the units digit of q/16 + -4 + (-3790)/(-8)? 4 Suppose 19*p + 3*p = 17336. Suppose -8 = -2*w, -d - 2*w - 3*w = -p. What is the tens digit of d? 6 Let v be 2/24*2 + (-17)/(-6). Let q be (1 + -2)*(-292 + v). Suppose 31 = -2*t + q. What is the units digit of t? 9 Let f = 31 - 27. Suppose 0 = 13*r - 8*r + 20. What is the units digit of (99/f)/(4/(-64)*r)? 9 Let n(c) = -c + 7. Let d be n(4). Suppose -2*r = 4*y + 10, r = 4*r + d*y. Suppose -5*b + r = -80. What is the units digit of b? 7 Let s = -9483 - -14470. What is the thousands digit of s? 4 Suppose -3*a + 35 = 5*r, -19 - 5 = -r - 4*a. Suppose r*u - u - 24 = 0. Suppose -5*d - 3*o = -285, -u*o - 250 = -4*d - 6*o. What is the tens digit of d? 6 Suppose 3*p = 0, 0 = 5*o - 2*p - 5 - 10. Suppose r + 32 = -o*i, 5*r + 96 = -0*i + i. Let f = 139 - r. What is the tens digit of f? 5 Suppose 16*a - 140 = 6*a. Suppose -10 = -5*m - d - 4, 3*m + a = -5*d. Suppose -2*l = -2*t - 184, -4*t - 34 = m*l - 206. What is the units digit of l? 0 Suppose 123*q - 42 = 129*q. What is the tens digit of q + 2 + -3 + 272? 6 Suppose -14*v = -112571 - 106683. What is the ten thousands digit of v? 1 Let r(x) = x**3 - x**2 + 2*x + 3. Let w = 89 + -84. Let h be r(w). Let b = h + 89. What is the tens digit of b? 0 Let g = 20151 - 5012. What is the hundreds digit of g? 1 What is the hundreds digit of 9*4/6*6824/(-40)*-10? 2 Let b(p) = -8*p**3 + 15*p**2 + 57*p - 164. What is the tens digit of b(-17)? 0 Let d be -51958*((-25)/(-10))/(-5). Suppose 29*x = 13838 + d. What is the units digit of x? 3 Suppose -259*z = -258*z + 4*y - 28035, 0 = -5*y + 10. What is the tens digit of z? 2 Let j be (-16)/(-3) + (-15)/45. Suppose -2*c = 5*v - 307, 140 = j*c + 5*v - 620. What is the tens digit of c? 5 Let f(g) = 63*g - 32. Let o(p) = 129*p - 62. Let k(m) = 13*f(m) - 6*o(m). What is the units digit of k(6)? 6 Let p be 6/1 - (2 + 0 + -5). Suppose 0 = p*z - 103 - 1553. Let x = 384 - z. What is the tens digit of x? 0 Let r(m) = 1062*m**2 - 173*m + 5. What is the thousands digit of r(3)? 9 Suppose 5*j - 2025 = 4*q + q, 3*j = 6. What is the tens digit of 125/3 + -11 + q/(-39)? 4 Let r(s) = 209*s**2 - 47*s + 77. What is the thousands digit of r(12)? 9 Let p be ((-92)/6)/((7 + -6)/(-3)). Suppose -3*r - p = -22. What is the hundreds digit of ((-1614)/r - (-7)/28) + 3? 2 Let j = 20063 + -10554. What is the hundreds digit of j? 5 Suppose 0 = 5*n - 5*a + 20, n + 3*a - 4 = 2*a. Suppose -5*y + 155 + 565 = n. What is the hundreds digit of y? 1 Let a = -4813 + 7981. What is the hundreds digit of a? 1 Let p = 43 + -40. Suppose -1 = 5*h - h - p*k, 5*k - 13 = h. Suppose -97 = -2*y + 3*i, h*y + 2*y = 4*i + 188. What is the units digit of y? 4 Suppose 8 = -d + 10. Suppose -5*q + 853 = -3*n, -4*q - d*n = -9*q + 857. Suppose 31 = 12*j - q. What is the tens digit of j? 1 Suppose 4*j + 11 = 5*z, 3*j = -5*z + 10 + 8. Suppose -11 = -5*i + 4*a, 14 = 2*i + z*i - a. Suppose 0 = 2*v + i*v - 450. What is the units digit of v? 0 Suppose 6918*m = 6944*m - 212992. What is the hundreds digit of m? 1 Let o = -5132 - -16489. What is the thousands digit of o? 1 Suppose -y - 6492 = -3*y - 2*h, 0 = 7*y + h - 22692. What is the hundreds digit of y? 2 Let d be 4 + (4 - 3) + 0. Suppose d*z - 18 = -3*w, -w + 11 = 4*z + 5. What is the tens digit of (-3)/w - 37/(-2)? 1 Let f be ((-5)/(-30)*0)/(1 - 0). Suppose 0 = -5*h + 84 + 1. Suppose f*s - h = -s. What is the tens digit of s? 1 Let t(q) = -5*q - 12. Let p be t(-4). Let f be p/(-44) + ((-184)/11)/(-4). What is the tens digit of (-3 - -7)*94/f? 9 Let v = 86635 - 24263. What is the units digit of v? 2 Let m(n) = -n**2 - 12*n + 3. Let k be m(-10). Suppose -k*l + 3376 = -15*l. What is the tens digit of l? 2 Let d(g) = -3258*g + 87. What is the thousands digit of d(-2)? 6 Let r be (-2)/(-3) + (-13)/(273/(-28)). Suppose 3*g + 2883 = -3*k + 6*k, 0 = -k + r*g + 959. What is the units digit of k? 3 Let b(y) be the second derivative of y**5/5 - y**4/6 + y**3/3 + y**2 - 10*y. Let d be b(3). Let o = d - -67. What is the tens digit of o? 6 Suppose 9900 = 2*b + 2*b. Suppose -964 = -12*p - 820. Suppose -c - b = -p*c. What is the hundreds digit of c? 2 Suppose -18*d + 24 = -12*d. What is the units digit of 50 + (-4 - (d + -13))? 5 Suppose -412*d + 213*d + 9439366 = 0. What is the thousands digit of d? 7 Let b(v) = 3*v**2 - 99*v - 1361. What is the thousands digit of b(-17)? 1 Let j(l) = 864*l + 18 - 821*l - l**2 - l**3 - 6*l**2. What is the units digit of j(-12)? 2 What is the thousands digit of -8 + ((-2 - -8) + -13)*-490*9? 0 Let f be 1*50/(7 + -2). Suppose -f*p - 5874 = -21*p. What is the units digit of p? 4 Let i be (-8)/6*15/20. Let n = 1 - 9. What is the tens digit of (38/i)/(n - -7)? 3 Let k(c) = -1693*c + 76. What is the hundreds digit of k(-18)? 5 Let v be ((-48)/2)/((-172)/2322). Suppose 2*s - 310 = -4*r, -2*s - 99*r + 102*r = -v. What is the units digit of s? 9 Suppose -6*h - h = -3094. Suppose -x + 466 = 2*n, 3*n - 4*x = 246 + h. Suppose 464 = 4*i - n. What is the hundreds digit of i? 1 What is the hundreds digit of 5/((-25)/10)*5/(-2) + 89431? 4 Let s be (-2)/(-6) - (2177/(-21) - 7). Suppose s = 4*h - 5*x, -15 = -h - 2*x + 3. What is the tens digit of h? 2 Let h be (612/(-8))/(1/22). Let y = h - -2754. What is the tens digit of y/12 + 9/12? 9 Let d(a) = 233*a**2 + 122*a + 689. What is the hundreds digit of d(-6)? 3 Let y = -2 - -4. Suppose -3*h = -5*p + 2 + 1, 8 = y*h. What is the units digit of (p/(-2))/((-6)/8)? 2 Let v(a) be the second derivative of 123*a**4/2 - a**3/3 - 3*a**2/2 + 6*a. What is the hundreds digit of v(-1)? 7 Let f = -6556 + 12656. What is the hundreds digit of f? 1 Let t be 2 + (2 - 1/1)*1. Suppose -t*b = 2*d - 1451, 5*d - 3614 = -11*b + 8*b. What is the units digit of d? 1 Suppose -13 + 37 = 6*z. Suppose n - z*v - 322 = -8*v, -2*n + 4*v + 668 = 0. What is the hundreds digit of n? 3 Let j = -2204 + 1358. Let k = j + 1389. What is the tens digit of k? 4 Let q(g) = 16 + 318 + 14*g - 4*g + 4*g. What is the units digit of q(0)? 4 Let o be (7/21)/(((-28)/60)/(-7)). Suppose -p + 1325 = o*n, 5*n + 4*p - 706 = 634. What is the hundreds digit of n? 2 Suppose 0 = 18*c - 472 + 94. Suppose 13*b = c*b - 11016. What is the thousands digit of b? 1 Suppose -4*k + 71 + 149 = 0. Suppose -1223 = -4*a - 0*a - n, 2*n = -3*a + 921. Suppose -2*d + k + a = 5*l, 216 = 3*l + d. What is the units digit of l? 2 Suppose 2*m = -4*w - 20, -4*w - w = 4*m + 25. Suppose 5*b + m*l + l - 4851 = 0, 2*b - 1938 = 2*l. What is the tens digit of b? 7 Suppose 3*u = -o + 9037, 0 = o - u + 6*u - 9039. What is the units digit of o? 4 What is the units digit of (68/(-255)*1614/4)/((-8)/340)? 3 Suppose -5*b + 4*r - 3245 = -24277, 18*r - 8452 = -2*b. What is the hundreds digit of b? 2 Let t = -9803 - -14079. What is the hundreds digit of t? 2 Let o = -92804 + 134775. What is the ten thousands digit of o? 4 Let y(t) = 134*t**2 + 24*t + 5. What is the hundreds digit of y(6)? 9 Let s(b) = b**3 + 4*b**2 - 18*b - 63. Let u be s(-4). Suppose -4*w + 719 = 5*j, 0 = -5*j - 3*w + u + 709. What is the hundreds digit of j? 1 Let t(z) = -21*z + 93. Let j be (45/(-10) + 5)/((-2)/68). What is the units digit of t(j)? 0 Let f(u) = 2*u - 9. Let x be f(7). Let p be -6*(21/(-9) + 2) + 27. Suppose 350 = 5*a + x*n, -2*n - 219 + p = -3*a. What is the units digit of a? 6 Suppose 40 = w + h + 332, -5*w = -2*h + 14
{ "pile_set_name": "DM Mathematics" }
(0)? -16 Let o(a) = 43*a - 1201. Let i be ((12/42)/(6/98))/(238/1428). Give o(i). 3 Let n(l) = 15*l**2 + 57*l - 43. Let h(i) = 7*i**2 + 27*i - 20. Let t(y) = 13*h(y) - 6*n(y). Give t(-4). -22 Let l(g) = -4*g**3 + 3*g**2 - 15*g - 10. Let k(h) = 2*h**3 - 2*h**2 + 8*h + 5. Let t(b) = -9*k(b) - 5*l(b). Determine t(-3). -31 Let q be (45/(-6))/(55/(-220) - (-14)/8). Let p(n) = 13*n + 72. Determine p(q). 7 Let u be (-424)/64 - 15/40. Let y(z) = 3*z - 49. Let i(g) = 2*g - 34. Let f(s) = u*i(s) + 5*y(s). Give f(12). 5 Let m(j) be the first derivative of -j**3/3 - 3*j**2/2 + 4*j + 3786. What is m(0)? 4 Let s(d) be the second derivative of d**5/10 + d**4/3 - d**3/2 - 5*d**2/2 + 8886*d. Calculate s(-4). -57 Let t(i) = -i**3 - 11*i**2 + 8*i - 4. Suppose 53 + 255 = -28*w. Let u(f) = 6*f**3 + 57*f**2 - 40*f + 18. Let g(z) = w*t(z) - 2*u(z). Give g(6). -4 Let j(k) = -7*k - 54. Suppose -1048 = -38*i + 133*i + 92. Calculate j(i). 30 Suppose 64*h + 70 = 71*h. Let c(r) = -5*r + h - 20 + 7*r + 3*r + 15. Give c(-10). -45 Let n(z) = -4*z + 23. Let j be n(5). Let t(b) = 3*b - 7. Let a(l) = l - 3. Let w(y) = j*t(y) - 6*a(y). Give w(4). 9 Let k(s) = 2*s - 2. Suppose -12*d = -11*d - 4. Let p be (10/(-8))/5 - (-13)/d. Suppose 2*w = 3*i - p, 2*i - 9 = -i. Give k(w). 4 Let t(s) = -2*s**2 - s. Let z(x) be the first derivative of x**3 + 11*x**2/2 - 20*x - 59. Let m(l) = 2*t(l) + z(l). Determine m(6). -2 Let c(x) = 11*x**3 - 3*x**2 - 10*x + 75. Let o(k) = 2*k**3 + 3*k. Let i(m) = c(m) - 5*o(m). Calculate i(3). 0 Let d(s) = -2*s + 1. Let b be (-15)/(-5 - -2) + 11. Suppose -b = -4*g - 12. Give d(g). -1 Suppose 4*u + 5*n - 401 = -395, -u - n + 2 = 0. Let p(r) = -r**3 + 4*r**2 + 5*r - 9. What is p(u)? 11 Let a(z) = 1483*z + 3 - 4451*z + 2 + 1483*z + 1481*z. Let j(h) = -h**3 - 13*h**2 - 13*h - 16. Let t be j(-12). Determine a(t). 21 Let s(z) = -9*z**2 + 3 + 0*z**2 - 5*z + 7*z**2 + 0*z**2. Let n(a) = -9*a - 526. Let u be n(-58). Determine s(u). -9 Let b(c) = -48*c. Let i(n) = 382*n - 46. Let q(m) = -8*b(m) - i(m). Calculate q(-14). 18 Let o(y) = y**2 + 4*y - 6. Suppose 263 = -115*g - 427. What is o(g)? 6 Suppose -y + 4 = -2. Let c(d) be the second derivative of -1/6*d**3 + 143*d + 0 + 7/2*d**2. Determine c(y). 1 Let w(g) = 4*g**2 - 2*g - 29. Let p(x) = -256*x - 3844. Let f be p(-15). Give w(f). 43 Suppose 6*t + 21 = -9. Let a be t/(-10) + (-3)/(-6) - -4. Let z(l) = -l**2 - 2*l + 6. Calculate z(a). -29 Let w(x) = -3*x**3 - x**2 - 7*x + 5. Let r be w(-3). Let k(v) = -85 - r - v + 170. Let l = -8 - -2. Give k(l). -7 Let q(l) = -7*l**3 - 19*l**2 - 9*l - 3. Let r(z) = -4*z**3 - 10*z**2 - 5*z - 2. Let s be (-989)/184 + 6/16. Let i(h) = s*r(h) + 3*q(h). What is i(-6)? -23 Suppose -2*c - 4*n - 35 + 143 = 0, c - 2*n - 62 = 0. Let m = -63 + c. Let k(a) = a**3 + 3*a**2 - 7*a. Calculate k(m). -15 Let s(y) = -3*y + 25. Suppose -2*t + 1114 = 2*n + 1102, -12 = -2*n + 2*t. Calculate s(n). 7 Let i(x) = -28 - x + 22*x**2 + 29 - 19*x**2. Let v(f) = -1. Let j(p) = -p**2 - 10*p - 16. Let q(d) = -j(d) - 2*v(d). Let a be q(-8). Give i(a). 11 Let g = -119 + 149. Suppose 0 = 3*b - 6, 5*p - 2*b + 14 = g. Let z(u) = 2*u**2 - 6*u + 2. What is z(p)? 10 Let y(l) be the third derivative of -7*l**4/4 - 29*l**3/2 + 3712*l**2 - 2. Determine y(-2). -3 Let i(t) = -9*t**2 + 3*t + 122. Let x(q) = -6*q**2 + 2*q + 78. Let o(y) = -5*i(y) + 8*x(y). What is o(-4)? -38 Let m be 28/10 + 2 - (-329)/1645. Let h(r) = -4*r - 2. Calculate h(m). -22 Suppose 16*g = 7 + 25. Let u(x) = -186 + 7*x**g + 8*x + 186 - x**3. Give u(8). 0 Let p(r) = -r - 9. Suppose -7*m - 6 = -3*c - 11*m, -2*c + 4 = m. Let w be p(c). Let u(a) = -10*a**2 + a - a**2 - a**3 + 0*a**2 + 16. Determine u(w). 5 Let r = -4520 - -4520. Let s(w) be the third derivative of r - 1/12*w**4 + 1/60*w**5 + 0*w + 2/3*w**3 + 4*w**2. What is s(3)? 7 Let k(f) = 2*f - 34. Let p be k(18). Let m(b) = -3 + 3*b**2 + 3*b + 8*b**2 - 4*b**p - 6*b**2. Let w(g) = g**2 + 14*g + 30. Let d be w(-11). Calculate m(d). -3 Let s(y) = 8*y + 1793 + 1693 - 3575 + 0*y. Calculate s(11). -1 Suppose -4*i + 4 = -16. Let p be (-5)/((-10)/8) - (-2 - -6). Suppose -4*o = -2*z + 4, i*z - 10 = -p*o - o. Let q(j) = j**3 + j**2 - j + 5. What is q(o)? 5 Let j(v) be the third derivative of v**6/60 - v**5/15 - v**4/4 - 5*v**3/6 - 2383*v**2 + 1. What is j(4)? 35 Let w(y) be the first derivative of -259 + 1/2*y**2 - 3*y. Let i be (-3 + 2)*(-8)/2. What is w(i)? 1 Let u(s) be the first derivative of s**4/24 + 5*s**3 - 9*s**2/2 + 6*s + 186. Let x(d) be the second derivative of u(d). Determine x(0). 30 Let h(c) be the first derivative of 0*c**3 + 24 - 9/2*c**4 - 1/2*c**2 + 0*c. Determine h(-1). 19 Let c be 4 - ((1 - -5) + 1 - 5). Let t(b) = 2*b + b + 9347*b**c + 2 - 9348*b**2. Give t(5). -8 Let i = 4366 - 4377. Let x(f) = 7*f + 21. Give x(i). -56 Suppose 9*a - 63 = 2*a. Let v(u) = -2*u**2 + a*u**2 + 186*u - 185*u. Give v(1). 8 Let q(d) = d**3 - 2*d**2 - 5*d - 7. Suppose -7*v + 3648 = 3669. What is q(v)? -37 Let n = 24 + -18. Suppose 2*h + 2*d - 158 = -2*h, 3*h - d - 131 = 0. Let m(x) = -h - 4*x + n*x + 35. Determine m(9). 11 Let r = 97 - 90. Let x = r - 5. Let v(y) = 5*y + 3*y**2 - 4*y**x - 4*y - 4*y**2 + y**3. Determine v(5). 5 Let s be (-6)/(-21) + (-15)/(420/(-272)). Let j(o) be the third derivative of o**6/120 - 11*o**5/60 + o**4/3 + 13*o**3/6 + 3*o**2 + 34*o. What is j(s)? -7 Let w = -141 + 147. Suppose -h = w*h - 308. Suppose 14*f + h = 3*f. Let z(g) = -g**2 + 5. Give z(f). -11 Let z be -17*(2 - 1)/1. Let q = z - -20. Let s be ((-12)/q - -7) + 4. Let y(o) = o**2 - 6*o - 1. What is y(s)? 6 Let m(h) = 0 + 3 + 7 + 24*h - 27*h - 1. Let j = -3 - -7. What is m(j)? -3 Let l(n) be the first derivative of -n**4/4 + n**3 - n**2 + 12*n - 1299. Give l(3). 6 Let f(l) = -3*l**2 - 8*l + 69. Let d be f(6). Let v = d - -86. Let o(s) = -3*s**3 + s**2 + s + 1. What is o(v)? 4 Let f(u) = -u**2 + 5*u + 2. Let n(c) = 7*c**3 + 2*c**2 - 2*c - 1. Let x be 18/24*2 + (-1)/2. Let d be n(x). Calculate f(d). -4 Let f(b) = -b + 7. Let j be f(4). Let u(z) be the second derivative of -z**4/12 + z**3/6 + z**2/2 - 2*z + 8. Determine u(j). -5 Let v(x) be the second derivative of 1/2*x**3 - 1/2*x**2 + 1/2*x**4 + 40*x + 0 - 1/20*x**5. Determine v(6). 17 Suppose 56*u = 60*u - 44. Let v(x) = u - 12*x - 16*x - 13 + 15*x. What is v(-1)? 11 Let a(t) = 11*t**2 - 10*t - 1. Let g(v) = 2*v. Let f be -26 + 24 + (2 - (-1 - 0)). Let m(h) = f*a(h) + 5*g(h). Give m(-1). 10 Let d(r) = 43*r - 22*r - 49*r + 4*r**2 + 9. What is d(7)? 9 Let x be ((-9)/14)/(3/(-52)) - (-6)/7. Let o(y) = -70*y + 835. Calculate o(x). -5 Let g(r) = -r**2 + r. Let u(f) = 15*f**2 - 4*f - 1. Let t(o) = -4*g(o) - u(o). Let m(y) = y**3 - 9*y**2 + 12*y + 15. Let k be m(7). What is t(k)? -10 Let p(c) = 16*c - 26. Let n(r) = -92*r - 7082. Let u be n(-77). Determine p(u). 6 Let q(u) = -4*u**2 - 45*u - 10. Let c be q(-11). Let d(f) = 8*f - 15*f + 4*f + c + 0*f**2 + 2*f**2 - 3. Let b be -3*(-1 + 2 - 2). Determine d(b). 7 Suppose 94*i - 16 = l + 98*i, 4*i = -16. Let c(j) = -j**2 - 17. Determine c(l). -17 Let k(l) = l + 5. Let d = -40 - -48. Let j be 6/d*(-438)/9*-2. Let u = j + -76. What is k(u)? 2 Let y(q) = -2 + q + 0 + 4. Let a(c) = 168*c - 7214. Let x be a(43). Determine y(x). 12 Let g(c) = -c**2 - 2*c - 35*c - 46*c - 4 + 77*c. Let l = -2 - 2. Determine g(l). 4 Let z(o) = o**3 - 80*o**2 + 248*o - 39. Let k(f) = -6*f**2 - 2*f - 1. Let s(d) = -6*k(d) + z(d). Give s(37). 4 Let b(x) be the first derivative of 3*x - 160 + 2*x**2 - 2*x**2 + 2*x**2 - 6*x. What is b(2)? 5 Let r(b) = -2*b**2 - 4*b - 8. Suppose -90 = 82*v + 402. Give r(v). -56 Let p be (-1151)/(-6) - (-15)/90. Let i = p - 194. Let y(m) = 8*m - 1. Determine y(i). -17 Suppose -7*s = -13 - 22. Let f(h) = -8 - 3*h**2 + s*h - 6*h + 8. What is f(-2)? -10 Let z(k) = -290*k - 9858. Let m be z(-34). Let v(a) = -a**3 - 2*a**2 + 0 + 4*a**2 - 3. Give v(m). -3 Let o be (-4 + 0)/((-7 - -11) + -6). Suppose o*i + 37 = 43. Let p(h) = -5*h + 2. Calculate p(i). -13 Let a(r) = -122*r**3 - r**2 + 3*r + 3. Let o be a(-1). Let n(p) = o*p - 60*p + 2 - 57*p. Determine n(2). 10 Let z(j) = 5*j + 2. Let s(p) = -5*p + 8. Let a(g) = 7*g - 10. Let i(b) = 4*a(b) + 5*s(b). Let q be 2/(0 - (2 + 0)). Let n be i(q). Determine z(n). -13 Let j(x) = -x - 18. Let i(m) = 5*m +
{ "pile_set_name": "DM Mathematics" }
ors of 40061158. 2, 19, 37, 28493 List the prime factors of 510083042. 2, 7, 587, 8867 List the prime factors of 957250721. 7, 1307, 14947 List the prime factors of 230312125. 5, 1842497 List the prime factors of 1218790847. 2473, 492839 What are the prime factors of 71397418? 2, 47, 759547 What are the prime factors of 2892040646? 2, 11, 17, 7732729 List the prime factors of 178170742. 2, 23, 131, 29567 What are the prime factors of 8047626128? 2, 43, 11697131 List the prime factors of 3873262114. 2, 1936631057 List the prime factors of 184579538. 2, 11, 13, 645383 List the prime factors of 356369567. 19, 23, 815491 List the prime factors of 8537274. 2, 3, 67, 7079 List the prime factors of 1372631186. 2, 1049, 654257 List the prime factors of 3962970458. 2, 1981485229 What are the prime factors of 226346184? 2, 3, 59, 17761 What are the prime factors of 37865887? 37865887 List the prime factors of 198266219. 198266219 List the prime factors of 2492559579. 3, 541, 1535773 What are the prime factors of 139467571? 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83, 2861497 What are the prime factors of 50631490? 2, 5, 7, 13, 55639 List the prime factors of 135802809. 3, 15089201 What are the prime factors of 21236482? 2, 277, 38333 List the prime factors of 913425852. 2, 3, 76118821 List the prime factors of 2214185199. 3, 31, 229, 103967 List the prime factors of 304908699. 3, 101636233 List the prime factors of 201821278. 2, 8431, 11969 List the prime factors of 2177418370. 2, 5, 9829, 22153 List the prime factors of 7846130. 2, 5, 389, 2017 What are the prime factors of 548773321? 941, 583181 List the prime factors of 11621932. 2, 7, 415069 What are the prime factors of 4233356842? 2, 11, 13, 2179, 6793 What are the prime factors of 79911738? 2, 3, 31, 47737 What are the prime factors of 242613370? 2, 5, 353, 68729 List the prime factors of 1059979598. 2, 529989799 What are the prime factors of 4512623? 23, 196201 List the prime factors of 2367037852. 2, 37, 15993499 What are the prime factors of 521030652? 2, 3, 59, 735919 What are the prime factors of 1017177643? 17, 53, 1128943 List the prime factors of 4614201850. 2, 5, 92284037 List the prime factors of 3138973742. 2, 31849, 49279 What are the prime factors of 85381755? 3, 5, 37, 153841 List the prime factors of 172981218. 2, 3, 3203, 9001 What are the prime factors of 251670737? 17, 870833 What are the prime factors of 339143798? 2, 7, 1049, 3299 List the prime factors of 196800471. 3, 7, 271, 11527 List the prime factors of 2661954134. 2, 7, 47, 4045523 List the prime factors of 249899150. 2, 5, 17, 293999 What are the prime factors of 143406059? 61, 151, 15569 What are the prime factors of 328298425? 5, 7, 13, 144307 List the prime factors of 224794992. 2, 3, 4683229 What are the prime factors of 6522308? 2, 13, 125429 List the prime factors of 72802117. 487, 149491 List the prime factors of 24771579. 3, 7, 1179599 What are the prime factors of 1462378516? 2, 365594629 List the prime factors of 34506466. 2, 17253233 List the prime factors of 2335706009. 7, 13, 1361, 18859 List the prime factors of 16482024. 2, 3, 13, 17609 What are the prime factors of 161684802? 2, 3, 23, 29, 67 List the prime factors of 165155604. 2, 3, 43, 101, 3169 What are the prime factors of 2862559510? 2, 5, 89, 3216359 List the prime factors of 41636324. 2, 431, 24151 What are the prime factors of 2567120865? 3, 5, 37, 4625443 What are the prime factors of 345603449? 127, 1277, 2131 What are the prime factors of 5080252835? 5, 7, 8353, 17377 What are the prime factors of 1287524063? 7, 47, 101, 38747 What are the prime factors of 1116806621? 7, 43, 47, 89, 887 List the prime factors of 1478931124. 2, 11, 2459, 13669 What are the prime factors of 65588818? 2, 131, 139, 1801 What are the prime factors of 1056051568? 2, 11, 13, 461561 What are the prime factors of 153724428? 2, 3, 11, 13, 2297 List the prime factors of 115568017. 257, 449681 What are the prime factors of 345363317? 13, 53, 431, 1163 What are the prime factors of 266600242? 2, 133300121 What are the prime factors of 646596632? 2, 11, 17, 67, 6451 What are the prime factors of 1154110260? 2, 3, 5, 19235171 List the prime factors of 3814883934. 2, 3, 193, 3294373 What are the prime factors of 1139452059? 3, 19, 19990387 List the prime factors of 274981053. 3, 19, 179, 26951 What are the prime factors of 8986919? 8986919 What are the prime factors of 76183569? 3, 7, 11, 47, 2339 What are the prime factors of 694165567? 6733, 103099 What are the prime factors of 143242352? 2, 11, 73, 11149 What are the prime factors of 5669409981? 3, 19, 99463333 List the prime factors of 116737698. 2, 3, 7, 11, 36097 List the prime factors of 313688853. 3, 29, 1201873 What are the prime factors of 2054699792? 2, 113, 1136449 What are the prime factors of 9206582? 2, 7, 11, 191, 313 What are the prime factors of 160510580? 2, 5, 2203, 3643 List the prime factors of 31290248. 2, 11, 355571 List the prime factors of 311135010. 2, 3, 5, 10371167 What are the prime factors of 2460934028? 2, 7, 87890501 List the prime factors of 320606819. 13, 71, 163, 2131 List the prime factors of 274261224. 2, 3, 43, 265757 What are the prime factors of 211250196? 2, 3, 67, 87583 What are the prime factors of 36242933? 59, 107, 5741 What are the prime factors of 7424119672? 2, 107, 8673037 List the prime factors of 4942217676. 2, 3, 11, 73, 512891 List the prime factors of 119521166. 2, 43, 67, 20743 What are the prime factors of 155886473? 155886473 List the prime factors of 2435922238. 2, 2579, 472261 List the prime factors of 65335053. 3, 7, 19, 373, 439 List the prime factors of 150945440. 2, 5, 943409 What are the prime factors of 2589578521? 31, 137, 609743 List the prime factors of 1166591008. 2, 11, 31, 9719 What are the prime factors of 1107673397? 1107673397 List the prime factors of 7679289499. 7, 1097041357 List the prime factors of 11622783. 3, 659, 5879 List the prime factors of 72766956. 2, 3, 6063913 What are the prime factors of 933929396? 2, 887, 263227 What are the prime factors of 1779838214? 2, 7, 11, 107, 108013 What are the prime
{ "pile_set_name": "DM Mathematics" }
Determine z(h). -4 Let l = 9 - 13. Let n(s) = -4*s**2 + 4*s - 3. Let u(x) = 3*x**2 - 4*x + 2. Suppose q + 8*w = 4*w - 9, -2*w = -q - 3. Let h(j) = q*u(j) - 4*n(j). What is h(l)? 2 Let q(b) = -3*b + 3. Let c(f) = -10*f + 7. Let t(a) = 11*a - 7. Let i(r) = 4*c(r) + 3*t(r). Let y(w) = -2*i(w) + 5*q(w). Give y(3). -2 Let s(k) = 10*k**2 + 8*k**2 - 17*k**2 - 6*k + 2. Let p = -8 - -13. Calculate s(p). -3 Let d(o) = -10*o**3 + 2*o + 1. Let v = 63 + -64. Determine d(v). 9 Let a = -18 + 28. Suppose -2*j + 30 - a = 5*w, 2*j = -2*w + 2. Let b(q) = 0*q**2 + q**2 - 2*q**2 - q - w*q. Determine b(-5). 10 Suppose -8 + 3 = -s. Let g(y) = -y - 1. Determine g(s). -6 Let m(b) = b**3 + 4*b**2 + 3*b + 3. Let g be m(-3). Let t(x) = 2*x - 7 + x**2 + x + g. What is t(-4)? 0 Let d(s) = 2*s - 7. Suppose -2*l + 13 = 3. Give d(l). 3 Let g be (-1 - 2)*(0 - -1). Let f = 3 + g. Let r(j) = j + 1. Calculate r(f). 1 Let l(b) = -b + 3. Let x be l(5). Let f be (-1)/x*(-5 + 1). Let i(k) = -k**3 - 3*k**2 - 2*k - 1. Determine i(f). -1 Let n(s) = -s**3 + 10*s**2 - s + 2. Let r(u) = 10*u**2. Let y be r(-1). Give n(y). -8 Let h(d) = -3 + 2*d + 0*d + 2 + 2. Calculate h(-1). -1 Suppose 12 = 3*b, -3*w + 2*b + 13 = 3. Let f(v) = 1. Let n(m) = -m + 10. Let o(q) = w*f(q) - n(q). Suppose 1 = 2*d - 5. Calculate o(d). -1 Suppose 19 = -2*h - 5. Let v be h/3 - 8/(-4). Let c(j) = 2*j**2 + 3*j. Determine c(v). 2 Let j(t) = -2*t - 1. Let n(r) = 10*r + 6. Let s(b) = -14*j(b) - 3*n(b). What is s(-3)? 2 Let p(x) be the third derivative of -x**6/60 - x**5/30 - x**3/6 - x**2. Suppose -12 = 11*q + 10. What is p(q)? 7 Let c be (-1 - 1)/(-2)*-1. Let y = 6 + c. Let v(k) be the second derivative of -k**5/20 + k**4/3 + 5*k**3/6 + 3*k**2/2 + k. What is v(y)? 3 Let k be 14/8 - (-4)/16. Suppose -3*h + 2*h + k = 0. Suppose -h*n = m - 10, -5*m + 20 = 3*n - m. Let a(c) = -c**3 + 4*c**2 + 3*c - 4. What is a(n)? 8 Let t(m) = m**3 - 6*m**2 + 5*m + 3. Let r(i) = i**3 - 3*i**2 + i - 4. Let s be r(3). Let o be 4 - s*0/(-2). What is t(o)? -9 Let g be (-6)/(-16) - 215/40. Let m(n) be the third derivative of -n**4/12 - 5*n**3/6 + 3*n**2. What is m(g)? 5 Let o be 8/(-60) + 94/30. Let g(j) be the first derivative of j**4/4 - j**3 - 3*j - 2. Give g(o). -3 Let u(d) = d. Suppose i - 7*i = -12. Determine u(i). 2 Let y(b) = 2*b - 1. Let m be (0 + 1)/((-3)/(-15)). Let j = m + -2. Suppose 0 = -0*d + d + j. Calculate y(d). -7 Let j(n) = n**2 - n - 1. Let s(o) = 3*o**2 - 6*o - 3. Let l(c) = -5*j(c) + s(c). Give l(2). -8 Let a be ((-1)/(-2))/(4/(-40)). Let z(o) = 3*o + o**2 - 2 - 2 + o. Calculate z(a). 1 Let f(b) = b**3 - 6*b**2 - 2*b + 7. Let c = 4 + 2. Let h be f(c). Let v = h - -8. Let j(q) = 2*q + 1. What is j(v)? 7 Let q(x) = 13*x + 2. Suppose 0 = -4*i + 4*j - 4, 6 + 3 = -3*i + 5*j. Determine q(i). 28 Let z(h) = -2*h**3 + 2*h + 6*h**3 - 4*h**3 + h**2 + h**3 + 1. Give z(-2). -7 Let a(l) = 3*l**2 + 8*l - 6. Let d(b) = -2*b**2 - 7*b + 5. Let w = -2 + -4. Let x(o) = w*d(o) - 5*a(o). What is x(2)? -8 Let v(y) be the third derivative of y**6/60 + y**5/30 - y**4/12 + y**3/6 - 12*y**2. Determine v(1). 3 Let u = 84 - 85. Let p(b) = -15*b**3 + b**2 + 2*b + 1. Give p(u). 15 Let h(o) = -5*o**3 - o**2 + o. Let n = 2 - -2. Suppose 4*g + 12 = -n*x, -3*x = g - 0*x + 11. What is h(g)? -5 Let f(x) = 6*x + 3. Let l be f(-3). Let n be 3/l - 4/5. Let k(u) be the first derivative of u**3/3 - u**2 - u + 7. Calculate k(n). 2 Let r = 0 - -9. Suppose -2*t + r = 3*q, 5*t = 2*q - 0 + 13. Let l(n) = 3*n**2 - n + 1. Calculate l(q). 3 Let a be (9/(-6))/((-3)/(-6)). Let m be 6*(5/2 + a). Let r(g) be the first derivative of g**2 + 3*g - 1. Give r(m). -3 Let i(q) = q**2 + 8*q + 8. Suppose 5*y - 3 = 37. Let u = y - 14. What is i(u)? -4 Let x(p) = -p**2 - p + 1. Let b(w) = -2*w**2 + w. Let n(a) = b(a) + 2*x(a). Determine n(-2). -12 Let d(g) = -7*g**3 + 7*g**2 - 13*g. Let j(x) = 3*x**3 - 4*x**2 + 7*x. Let b(r) = 6*d(r) + 11*j(r). Suppose k + 0*a - 14 = -3*a, 10 = 2*a. What is b(k)? 8 Let v = -37/6 + 13/2. Let l(j) be the first derivative of j + 5/2*j**2 - 1 + v*j**3. What is l(-5)? 1 Let s(g) = 10*g**3 + g**2 + 2*g + 1. Let b be s(-1). Let o be ((-15)/b)/((-3)/(-4)). Let u(z) = 4 - z + o*z + 0. Give u(-5). -1 Let w(a) = -9*a**2 + a. Suppose 4*n = -l + 8, -3*l - 2*l = n - 21. What is w(n)? -8 Let p(x) be the third derivative of x**5/60 - 7*x**4/24 + 7*x**2. Determine p(3). -12 Let y(r) = -r**2 + r. Let z(d) = -14*d**2 + 16*d. Let v = -118 + 70. Let l(w) = v*y(w) + 3*z(w). Determine l(1). 6 Let t(q) = 2*q**2 + 5*q + 15. Let m(d) = d**2 + 3*d + 7. Let r be -2*4/(16/(-10)). Let i(u) = r*m(u) - 2*t(u). Give i(-4). 1 Let g(f) = 6*f - 6. Let j(c) = -17*c + 17. Let s(b) = -8*g(b) - 3*j(b). Let p(v) = v**2 - 2. Let t be p(-2). Let m(q) = 2*q**2 - 3*q. Let y be m(t). Give s(y). 3 Let g = 13 - 18. Let p(n) be the third derivative of -n**6/120 - n**5/12 - 2*n**3/3 + n**2. Determine p(g). -4 Let t(i) = 2*i**3 + 2*i**2 + 4*i - 3. Let j(h) = -4*h**3 - 5*h**2 - 9*h + 7. Let a(r) = 4*j(r) + 9*t(r). Determine a(-1). -3 Let d = 45 + -48. Let l(u) = -u**2 + 2*u - 2. Calculate l(d). -17 Let t(n) = n**2 - 12*n + 14. Let w be t(11). Let u(m) = 4*m + 7. Let b(f) = -2*f - 3. Let r = 1 + 6. Let q(h) = r*b(h) + w*u(h). Give q(-5). 10 Let o(b) = 2*b. Let a be o(-2). Let c(v) = -v**3 + v**2 + v. Let k(f) = -4*f**3 + 10*f**2 + 9*f. Let w = 13 + -18. Let p(t) = w*c(t) + k(t). What is p(a)? 0 Let j(f) = f**3 - 4*f**2 + 3*f - 3. Let z(v) = -v**3 + 5*v**2 - 4*v + 4. Let l(t) = 4*j(t) + 5*z(t). What is l(8)? 8 Let j be 0 - (-3)/(-6)*-6. Suppose 7 = -2*m + c + j, 0 = -2*m - 3*c + 4. Let i be 5*((2 - m) + -2). Let x(t) = t**2 - 5*t. Give x(i). 0 Let b(r) = r**3 - 7*r**2 - 5*r - 6. Let s(k) = 2*k**3 - 8*k**2 - 5*k - 7. Let q(d) = 3*b(d) - 2*s(d). Give q(-4). 0 Let a(w) be the first derivative of -w**4/4 - 5*w**3/3 - w**2 - 3*w - 10. Let d(o) = -o + 4. Let x be d(9). Calculate a(x). 7 Let d be 1/6 - 5/(-6). Let u(l) = -7*l - 1. What is u(d)? -8 Let h(f) = f**2. Let i(z) = 2*z**2 + 1. Let k(c) = 3*h(c) + i(c). Calculate k(1). 6 Let q(v) = -4*v**3 + 4*v - 4. Let s(t) = -5*t**3 - t**2 + 5*t - 4. Let x(i) = -6*q(i) + 5*s(i). Calculate x(-5). -1 Let v(i) = -i**2 - i. Let x be (-165)/(-35) + (-2)/(-7). Suppose 0 = -4*j - y + 8, -3*y + 15 = -x*j + 2*y. Suppose -7 = 4*u + j. Give v(u). -2 Let t(c) = 2*c**3 + 2*c**2 - 2*c - 1. Let o be ((-3)/(-9))/(1/6). Determine t(o). 19 Let q(w) = -7*w**2 + 4*w - 3. Let t(f) = 8*f**2 - 6*f + 2. Let r(n) = -7*q(n) - 6*t(n). What is r(-6)? -3 Let d(o) = -o**2 + o. Let w be d(3). Let r(l) = l**2 + 6*l - 6. What is r(w)? -6 Let l(z) = -z**2 + 5*z - 4. Let n = -13 + 20. Let s(a) = a - 5. Let q be s(n). Suppose 1 = q*c - 9. What is l(c)? -4 Let w(i) be the first derivative of -i**4/4 - 5*i**3/3 - i**2/2 - 2*i - 2. Let d = 13 + -3. Suppose -2 = -2*a + 4*n, 4*a + 5*n + d = 5*a. What is w(a)? 3 Let w(z) = z**3 + 2*z + 0*z**2 + 3 + 3*z**2 - 7. Suppose -s + 2*p - 5 = 2*s, -7 = 5*s - 4*p. Determine w(s). -10 Suppose u = -0*u. Let i be 4*(-2 + (-11)/(-4)). Let s(w) = -w**2 - w + 5*w + u*w - i. What is s(5)? -8 Let u(b) = 1 + b**2 + 2*b - 5*b**2 - 2 + b**3. Calculate u(3). -4 Let x be 33/(-8) - 1/(-8). Let q(c) = -2*c + 4*c + 2 + 0*c**2 + c**2 - 1. Calculate q(x). 9 Let a(t) = -2*t + 1. Suppose 5*w - 20 = w. What is a(w)? -9 Suppose 0 = -2*y - 2*i + 14, 15 = 4*y - 9*y + 5*i. Let s(k) = -k**3 - 3*k + y*k - 1 + 0*k. Suppose -3*h + 2*h + 13 = 5*c, -5*c + 1 = -3*h. Give s(c). -11 Let a(q) = 6*q**3 + 2. Let n(w) = -7*w**3 - w - 3. Let x(i) = 4*a(i) + 3*n(i). What is x(-2)? -19 Let p be (-324)/48 - 1/4. Let w(o) = o**2 + 9*o + 10. What is w(p)? -4 Let j(r) = r + 7. Suppose 21 = 2*m - 39. Let i = -25 + m. Determine j(i). 12 Suppose -5*n = 4*l + 11, 38 = -2*l + 2*n + 2*n. Let y = l + 15. Let i(w) = w**2 + y*w - 6*w. Give i(-1). 1 Let h(p) = -4*p**2 - 10*p - 1. Let i(y) = -y**2 - y - 1. Let z(o) = h(o) - 5*i(o). Determine z(6). 10 Let g = 11 + 2. Let v(p) = 3 - g*p + 9*p - p**3 - 9*p**2 + 3*p**2. Give v(-5). -2 Let y be ((-20)/8 + 1)*-2. Suppose 2*l + 2 - 4 = 0, 1 = 2*t + y*l. Let r(v) be the first derivative of 7*v**2/2 - 1. Give r(t). -7 Let o(d) be the first derivative of d**3/3 + d**2/2 - d - 14. Calculate o(0). -1 Let i(o) = -o**2 - 10*o - 19. Let g be i(-8). Let f(y) = -y**3 - y**2 + 4*y + 1
{ "pile_set_name": "DM Mathematics" }
y. 69 Let v(c) be the second derivative of -363*c**5/20 + c**4/12 - c**3/6 + 233*c**2 - 8*c + 194. Differentiate v(f) wrt f. -1089*f**2 + 2*f - 1 Let h = 69 - 54. Suppose 2*q = 7*q - h. What is the second derivative of -55*f**3 - f**4 - 24*f + 55*f**q wrt f? -12*f**2 Let x(g) be the third derivative of 0*g - 113/6*g**3 + 41*g**2 - 1 - 5*g**4. What is the derivative of x(b) wrt b? -120 Let b(a) = 2*a**4 + 4*a. Let p(y) = 6*y**4 + 725*y**3 - 2294*y**2 + 3*y + 1. Let k(f) = -b(f) + p(f). Find the third derivative of k(u) wrt u. 96*u + 4350 Suppose 7*h + 15 = -83*h + 15. Let o(g) be the first derivative of 0*g + 4/3*g**3 + h*g**2 + 22 + 8/5*g**5 + 0*g**4. What is the third derivative of o(u) wrt u? 192*u Let w(o) = -13*o**3 + 4*o**2 - o + 4572. Let d(h) = -12*h**3 + 6*h**2 + 4561. Let m(k) = 3*d(k) - 4*w(k). Differentiate m(z) wrt z. 48*z**2 + 4*z + 4 Let w(n) = -n**3 + 14*n**2 + 10. Let t be w(14). Find the third derivative of t*u**3 - 2*u**2 - 24*u**3 + 1 + 13*u**3 - 4*u**4 wrt u. -96*u - 6 Suppose 0*y = 7*y - 84. Suppose 0*x = 4*x - y, 0 = -5*d - 2*x + 36. Find the third derivative of -4*w**6 + 2*w**2 - 8*w**2 + 3*w**d + 3*w**6 wrt w. 240*w**3 Suppose -21 = -3*c - 4*f + 106, 5*c = 5*f + 235. What is the third derivative of 5*p**3 + c*p**2 - 7 - 48*p**2 + p**6 + 0*p**6 wrt p? 120*p**3 + 30 What is the first derivative of 1373 - 10005*l + 5001*l + 159*l**2 + 5004*l wrt l? 318*l Let x(f) be the third derivative of -f**7/105 - 323*f**6/120 - 107*f**5/20 - 364*f**2. What is the third derivative of x(o) wrt o? -48*o - 1938 What is the third derivative of 247*y**4 - 2156*y**2 - 360*y**4 - 586*y**4 wrt y? -16776*y Let u(b) be the second derivative of -3*b**5/20 + 80*b**4/3 + 11*b**3/3 + 3*b**2 + 13*b + 45. What is the second derivative of u(y) wrt y? -18*y + 640 Let r(k) be the second derivative of -117*k**8/7 + k**5/10 - 249*k**4/2 + k**3/6 + k**2 - 76*k + 1. What is the third derivative of r(l) wrt l? -112320*l**3 + 12 Find the second derivative of -3114*m**3 - 1156*m**3 - 5579*m**2 - 1228*m**3 + 5579*m**2 + 6906*m wrt m. -32988*m Let r(u) = 17*u**2 + 303 - 2*u - 2*u - 133. Let w(z) = -18*z**2 + 5*z - 168. Let c(s) = -5*r(s) - 4*w(s). Find the first derivative of c(m) wrt m. -26*m Let n(z) be the third derivative of -53/24*z**4 + 0*z**5 + 1/6*z**3 + 9 - 2*z**2 + 0*z - 23/60*z**6. What is the second derivative of n(s) wrt s? -276*s Let r(h) be the second derivative of 1987*h**5/20 + h**3/6 - 2093*h**2/2 + 2*h - 66. What is the first derivative of r(t) wrt t? 5961*t**2 + 1 Let k(d) = -d**2 - 10*d - 5. Let j be k(-9). Suppose a = -1 + j. Find the second derivative of a - 3 - 14*b**2 + b + 10*b wrt b. -28 Let s(p) = 17*p**2 - p. Let u be s(-1). Let a be 0 + (2 + u - 4). Find the third derivative of -13*b**4 - 16*b + a*b + 14*b**2 wrt b. -312*b Let r(k) = -1660*k**3 + 10*k**2 + 81*k + 31. Let z(o) = -3319*o**3 + 18*o**2 + 157*o + 59. Let h(w) = 9*r(w) - 5*z(w). Find the second derivative of h(u) wrt u. 9930*u Suppose 0*l - 3 = -l. Suppose 24*p = 331 + 605. What is the second derivative of -p + 39 - 22*r - 33*r**l - 14*r wrt r? -198*r What is the second derivative of 20926*b**4 - 2*b**2 - 1604*b - 23371*b**4 - 1963*b + 2*b**2 wrt b? -29340*b**2 Let n(w) be the first derivative of 336*w**3 - 243*w**2/2 + w - 750. What is the second derivative of n(b) wrt b? 2016 Suppose 0 = 25*q - 199 - 276. Find the first derivative of -48 - 25 + q*g**4 + 11*g**4 wrt g. 120*g**3 Let z(i) = 4*i**2 + 23*i + 127. Let n be z(-12). Find the third derivative of 132*w**4 + 66*w**4 - w - n*w**4 - 64*w**2 wrt w. -5496*w Let r(g) = 2*g**2 - 289*g - 2808. Let b(t) = -t**2 + 158*t + 1404. Let n(q) = 11*b(q) + 6*r(q). Find the first derivative of n(c) wrt c. 2*c + 4 Let t(x) be the second derivative of -x**6/10 - 48*x**5/5 + 43*x**4/6 + 5*x**3/6 - 260*x. Find the third derivative of t(v) wrt v. -72*v - 1152 Let s(d) be the first derivative of 27*d**4/4 - 14*d**3/3 + 4*d**2 - 3*d + 824. What is the second derivative of s(t) wrt t? 162*t - 28 Let s(p) be the second derivative of 513*p**4/4 + 1168*p**3/3 + 53*p - 13. What is the second derivative of s(b) wrt b? 3078 Let o(t) = -4*t - 102. Let m be o(-26). Differentiate -4*f**2 + 229*f**4 + 6*f**2 - m*f**2 - 2 - 197 with respect to f. 916*f**3 Let a be (-304)/(-38) + -3*2 + 7. Let v be 1 + 3 - (0 + 2). What is the second derivative of a*m**v - 20*m - 30*m**3 - 9*m**2 wrt m? -180*m Let w(t) = -t**2. Let h(f) = 12*f**3 - 4*f**2 - 41. Suppose -5*g - 48 + 53 = 0. Let z(j) = g*h(j) - 6*w(j). Find the first derivative of z(s) wrt s. 36*s**2 + 4*s Find the second derivative of 1424*i - 2843*i + 1423*i + 624*i**4 - 186 wrt i. 7488*i**2 Let x(p) = 1087*p**3 + 3*p**2 + 3*p + 1133. Let l(t) = -2175*t**3 - 7*t**2 - 7*t - 2266. Let k(g) = 3*l(g) + 7*x(g). Find the first derivative of k(y) wrt y. 3252*y**2 Suppose 3*l = -3*k - 131 + 35, 0 = -2*k + 3*l - 54. Let q be ((-34)/k - 4/5)*21. What is the second derivative of -x - q*x - 3*x + 0*x - 13*x**2 wrt x? -26 Find the second derivative of -2726042*z**2 - 28*z**4 + 2726042*z**2 - 175*z - 2*z**5 wrt z. -40*z**3 - 336*z**2 What is the third derivative of -409*n + 576*n**5 + 31049147*n**3 - n**2 - 31049147*n**3 wrt n? 34560*n**2 Let v(g) = -21*g**4 - 128*g**2 + 11*g + 120. Let i(w) = 5*w**4 + w**2 - 2*w - 2. Let p(z) = -4*i(z) - v(z). What is the second derivative of p(k) wrt k? 12*k**2 + 248 Let i = -1 - 4. Let c = 18 + i. What is the second derivative of -c*b**2 - 5*b**2 - 4*b + 2*b**2 wrt b? -32 Let o(t) = 287*t + 88. Let r(g) = 132*g - 47*g - 46*g - 1 - 46*g. Let f(a) = o(a) + 3*r(a). What is the first derivative of f(u) wrt u? 266 Differentiate -913*s - 211*s - 201*s + 192*s - 958*s - 3101 wrt s. -2091 Let f = 70 + -30. Suppose -f*y = -37*y - 6. What is the third derivative of 12*x**y - 4*x**4 + 0*x**4 - 34*x**2 - 11*x**4 wrt x? -360*x Let m(i) = -i**2 - 6*i - 4. Let u be m(-4). Let x be 16/2*1*(-2)/(-4). Differentiate -92*l**u - 92*l**x + l**3 - 18 + 190*l**4 wrt l. 24*l**3 + 3*l**2 Let z(s) be the first derivative of 73*s**4/12 + 17*s**3/2 - 64*s + 73. Let d(u) be the first derivative of z(u). Find the second derivative of d(x) wrt x. 146 Let n be (-16)/(-24) - 2120/(-15). What is the first derivative of 2011 - 2014 + 6*v - n*v wrt v? -136 Let c be 2/(12/18) + 0. Find the third derivative of -52*m - 82*m**3 - 35*m - 17*m - 12*m + m**2 - 48*m**c wrt m. -780 Find the first derivative of -2391*v**4 - 367523 + 744783 - 371103 wrt v. -9564*v**3 Find the third derivative of 1653*p**2 + 362*p**3 + 271*p**2 + 212*p**3 wrt p. 3444 Let h(f) = -f**3 + 10*f**2 - 7*f - 15. Let i be h(9). Let x = -3 - -5. What is the third derivative of 3*u**5 + i*u**2 - 15*u**x + u**5 wrt u? 240*u**2 Let k = -103 - -108. Let n be (2/k)/(29/145). Differentiate 9*v**2 - 14 + 6*v**2 - v**2 - v**n with respect to v. 26*v Let p(z) be the second derivative of 2 - 7/3*z**3 + 0*z**2 - 1/6*z**4 + 1/2*z**5 + 29*z. Find the second derivative of p(i) wrt i. 60*i - 4 Let l(u) = 644*u - 1012. Let c(o) = -9*o + 2. Let j(r) = 6*c(r) - l(r). Find the first derivative of j(n) wrt n. -698 Let x be ((-287)/14)/(3/18*3). Let r = x - -44. Find the third derivative of -r*f + 3*f - 173*f**4 - 14*f**2 + 189*f**4 wrt f. 384*f What is the derivative of 3170*s - 751438 + 788*s + 751962 wrt s? 3958 Let g(m) = 474*m**3 + 1707*m**2 + 5. Let o(q) = 2*q**3 - 2*q**2 + 1. Let t(v) = -g(v) + 5*o(v). Find the third derivative of t(z) wrt z. -2784 Let f(t) = -8158*t - 2328. Let x(l) = -l + 39. Let j(r) = f(r) - 20*x(r). Find the first derivative of j(n) wrt n. -8138 Suppose -2*n = n - 39. Let s be ((-8)/10)/(n/(-65)). Differentiate 8*g**4 + 0 + 10 - 17*g**s wrt g. -36*g**3 Let q(x) be the third derivative of 2978*x**7/105 + 1651*x**4/24 + 255*x**2 + 2*x - 2. What is the second derivative of q(n) wrt n? 71472*n**2 Differentiate -1573 + 1669 + 3435*h + 2943*h + 1219*h wrt h. 7597 Differentiate -3*z + 149*z**4 - 9*z + 223 - 14*z + 30*z wrt z. 596*z**3 + 4 What is the derivative of -1411*m**4 + 2394*m**4 - 984 - 1718*m**4 wrt m? -2940*m**3 Let b(a) be the second derivative of 79/2*a**2 + 0 + 106*a - 151/6*a**3. What is the derivative of b(y) wrt y? -151 Let k = -38 - -62. Suppose k = -5*d + 39. Find the third derivative of 11*f**3 - 27*f**2 + 7*f**2 - 7*f**2 + 0*f*
{ "pile_set_name": "DM Mathematics" }
-4*j + 32 - 0. What is the units digit of f(j)? 9 Let z = 7 + -10. Suppose -35*o = -36*o - 9. Let j = z - o. What is the units digit of j? 6 Suppose -6*y = -y - 20. Suppose f - y*f - 3*z + 96 = 0, 4*z = -5*f + 158. What is the tens digit of f? 3 Let d(o) = 12 + 2 + 1 - o - 4. What is the units digit of d(0)? 1 Let a be (14 - 7) + 0 + 0. Suppose 2*b - 15 = -3*b. Let k = b + a. What is the tens digit of k? 1 Let s = -40 + 83. What is the units digit of s? 3 Suppose -3*p = -t - t - 1, -4*t + p - 17 = 0. Let a(g) = g - 12. Let u be a(0). Let q = t - u. What is the units digit of q? 7 Let r(v) = -v + 7. What is the units digit of r(-5)? 2 Suppose 2*s - 7*s = -100. What is the tens digit of s? 2 Suppose 2*a = -a + 42. What is the tens digit of a? 1 Suppose g = 2*x, 3*g - x = -3*x + 16. Suppose -111 = -5*d - 4*s, -5*d + g*s - 43 = -162. What is the tens digit of d? 2 Suppose -3*y - 44 = 7. Let d = y - -33. What is the tens digit of d? 1 Let j = 8 + 2. What is the units digit of j - (1 + -1 + 1)? 9 Let h = 30 - 1. What is the units digit of h? 9 Let v(n) = 6*n**2 - 4 - n**3 + 2*n - 7*n**2 + 3. What is the units digit of v(-3)? 1 Suppose 0 = 3*g - 8*g - 110. What is the units digit of (g - -1 - -2)*-1? 9 What is the hundreds digit of -121*(-3)/(-6)*(6 + -8)? 1 Let y = -307 - -519. What is the hundreds digit of y? 2 Let v(h) = h**3 - 2*h**2 + 18*h - 21. What is the hundreds digit of v(6)? 2 Suppose -3*n + 4 = -5. Suppose 0*y - y - 2*h + 2 = 0, n*h - 17 = -5*y. Suppose 5*d - y*l - 15 = 0, -4*d - 2*l = -0*l - 12. What is the units digit of d? 3 Let y(h) = h - 9. Let i be y(9). Suppose i = -5*n - 4*w + 190, n + 2*w = -3*n + 146. What is the tens digit of n? 3 Let w(n) = 5*n**2 - 6*n + 4. Let x be w(4). Suppose -4*o + o + x = 0. What is the units digit of o? 0 Suppose 13*p - 2292 = p. What is the hundreds digit of p? 1 Let j = -13 - -6. Let p be (-1)/((0 - -3)/(-72)). Let h = p + j. What is the tens digit of h? 1 Let r(n) = 18*n - 1. Suppose 1 = -3*y + 4. What is the units digit of r(y)? 7 Let s = -1 + 0. Let u be 0 - 1*2*s. Let x(j) = j + 2. What is the units digit of x(u)? 4 Let d be (2/4)/(2/(-4)). Let i be (-1)/d + (-5)/1. What is the units digit of (14/i)/((-1)/2)? 7 Suppose -4*p + 0*p - 4*m + 132 = 0, 5*p + 2*m = 156. What is the units digit of p? 0 Suppose -3*h + 30 = 3*s - 180, 0 = -4*s + h + 290. What is the units digit of s? 2 Let x = 335 + -6. What is the hundreds digit of x? 3 Let d = 36 - 2. What is the tens digit of d? 3 Suppose m = -3*r - 10 + 4, 4*m = 5*r + 10. Suppose m = -s - 2*o + 14, -s - 3*s + 86 = 2*o. What is the units digit of s? 4 Suppose 4*c - 2 - 14 = 0. Suppose 0 = 2*k - c - 0. What is the units digit of (1*4*4)/k? 8 Suppose 2*l + 5*o = -2*l + 538, -2*l = 3*o - 268. What is the tens digit of l? 3 Let y = 27 - 12. Suppose 0 = i - 4*i + y. Suppose -14 = 2*j - 3*j - i*u, 0 = 2*j + 3*u - 14. What is the units digit of j? 4 Let x be 1/2 - 44/(-8). Let l be (-6)/9 - (-16)/x. Suppose -2*h + 14 = -l*w, -3*w + 8*w + 10 = 0. What is the units digit of h? 5 What is the units digit of 657/(-3)*(6/9)/(-2)? 3 Suppose 4*o = 2*j - 39 + 169, 4*j - 112 = -4*o. What is the tens digit of o? 3 Let i be (-6)/2 + 0 + -1. Suppose 0 = -4*j + j - 3. Let z = j - i. What is the units digit of z? 3 Let l = -41 - -39. Let m be (-42)/4 - 2/4. What is the tens digit of (m/l)/((-1)/(-2))? 1 Suppose -d - 2*d - 18 = 0. Let z(q) = -6*q - 3. Let k(c) = 13*c + 7. Let i(b) = 3*k(b) + 7*z(b). What is the tens digit of i(d)? 1 Let a be ((-15)/4)/(1/4). What is the units digit of (-9)/a - (-335)/25? 4 Let i(z) = -3*z + 1. Let b be (-2 - 0)/(2 + 0). Let c be i(b). Suppose -51 + 11 = -c*x. What is the tens digit of x? 1 Let o = -8 - -7. What is the units digit of o - -1 - 0 - -18? 8 Let b be (2 - 7)/((-2)/4). Let k = b - 7. What is the units digit of k? 3 Let a = 1 + -1. Suppose a*g = g. Suppose 3 = -g*u + u. What is the units digit of u? 3 Suppose -2*j - 4*y + 110 = 38, -3*y - 126 = -3*j. What is the units digit of j? 0 Let x(a) = -a**2 + 9*a + 13. Let q = 6 - 1. Suppose 33 + 12 = q*m. What is the units digit of x(m)? 3 Suppose 2*f = -d + 37, 5*d = -9 - 6. What is the units digit of -1 - (-1)/(2/f)? 9 Suppose -175 = -5*h - 5*c, -3*h = 4*c + 21 - 129. What is the units digit of ((-9)/6)/((-6)/h)? 8 Let f(n) = 68*n + 1. What is the hundreds digit of f(2)? 1 What is the tens digit of 1048/56 + (-4)/(-14)? 1 Suppose 0 = -2*z + 5*r + 479, -3*z - 2*r = -299 - 391. What is the tens digit of z? 3 Suppose -2 = -4*q + 6. Suppose -q*t - 11 = -3*a, -a + 3 = 2*t - 3*t. What is the units digit of t? 2 Let b(m) = -2*m - 3. Let a be b(9). Let z = 13 - a. Suppose 5*p - 96 = -0*p - 3*d, 2*p - z = d. What is the units digit of p? 8 Suppose d - 12 = 4*d, 0 = 5*r + 4*d - 914. What is the tens digit of r? 8 What is the units digit of (8/(-4) - -14) + -2? 0 Let b(i) = i**2 - 2*i + 2. Let p be b(2). Suppose 5*m = 5*h - 225, -h = p*h + 5*m - 103. What is the units digit of h? 1 Suppose -h = 0, 5*a - 2*h - 5 - 5 = 0. Suppose -3*i = 2*j - 0*j, 3*i + 24 = a*j. What is the units digit of j? 6 Let x(j) be the second derivative of j**3/6 - j. What is the units digit of x(2)? 2 Suppose -96 = 3*b - 6*b. What is the tens digit of b? 3 Let v be 0/(3 + 3/(-3)). Suppose -3*s - 2*s + 80 = v. What is the units digit of s? 6 Let a = 13 + 9. What is the tens digit of a? 2 Let o(a) = 2*a - 10. Let s be o(9). Let b = s + 29. What is the tens digit of b? 3 Let s = -14 - -8. Let y = 10 + s. Suppose y*k = -0*k + 28. What is the units digit of k? 7 Let z be (-6)/(1 - (-9)/(-3)). Suppose 2*q + 4*i + 14 = 0, 2*q - 2 = -z*i - 18. Let v = q + 19. What is the units digit of v? 8 Let h = 12 - 20. Let v(k) = k**2 + 4 + 8*k + 6 + 2. What is the units digit of v(h)? 2 Suppose -3*c - 2*n + 11 = 0, -3*n - 12 = -6*n. What is the units digit of (c + -10 + -3)/(-2)? 6 Let t be 20/(-8)*(-18)/5. Let h = 16 - t. What is the units digit of h? 7 Suppose -2*l + 21 = l. Let p = l + -2. What is the units digit of p? 5 Suppose 4*f - 2*f = 94. What is the tens digit of f? 4 Let l(t) be the third derivative of -t**4/12 - 7*t**3/6 + 2*t**2. Let v be (-7 + 14)*6/(-7). What is the units digit of l(v)? 5 Let k(w) = -w. Let i be k(-2). Let r(f) = -3 + 17 + f - i*f. What is the units digit of r(6)? 8 What is the hundreds digit of (18 + -11)/((-2)/(-48))? 1 Let w be 1/(-3) + (-5)/(-15). Suppose w*o + 116 = 4*o. What is the units digit of o? 9 Suppose w - 5 = 2*w - 3*l, -3*l = -9. Let o = w - 7. Let u = o - -4. What is the units digit of u? 1 Let b(l) = l**2 - 7*l - 12. Let q be b(9). Suppose 6 = -2*f - q. Let g = 13 + f. What is the units digit of g? 7 Suppose -2*i + 12 + 6 = 0. Let h = i + 3. What is the units digit of h? 2 Suppose 504 = 4*y + 4*l, -2*l - 4 = -0. Suppose -2*k = 2*k - y. What is the units digit of k? 2 Suppose h + 7 = 4*l, -l + 6 + 7 = 2*h. Suppose 0 = t + 7*t - 40. Suppose -47 = -t*o - l*p, 2*o + p = 3*p + 6. What is the units digit of o? 7 Let k(s) = s**2 + 7*s - 19. What is the tens digit of k(-20)? 4 What is the units digit of (435 - 9)*3/6? 3 Let n be ((-4)/(-3))/(2/(-36)). What is the tens digit of 224/10 + n/60? 2 Let g = 49 + -21. What is the units digit of g? 8 Let s(l) = -l + 2. Suppose 3*y - 4*y = 2. What is the units digit of s(y)? 4 Let n = 23 - 0. Let h = -13 + n. What is the tens digit of h? 1 Let t = -56 + 83. Suppose -5*g - 6 = -1, 2*p - 3*g - t = 0. What is the tens digit of p? 1 Let r(n) = 38*n**2 + 3*n + 2. Let w be -9 + 13 - (1 - -4). What is the units digit of r(w)? 7 What is the tens digit of ((80/(-12))/(-4))/(1/27)? 4 Let t = -26 - -92. What is the tens digit of t? 6 Let r(i) = 11*i**2 - i. What is the units digit of r(1)? 0 Let f(y) = -y**3 - 6*y**2 - y - 2. Let u be f(-6). Let v(l) = -4*l**3 + 4 - 3*l**2 + u*l**3 + l**3 - 3. What is the tens digit of v(4)? 1 Let d = 5 + -2. Suppose d*z - 3 - 6 = 0. What is the units digit of z? 3 Let k be 38/6 - (-4)/(-12). Let t = -11 + k. Let p(y) = -y**3 - 4*y**2 + 2*y. What is the units digit of p(t)? 5 Let c = 0 - -2. Suppose -c*q - 2*q = -76. What is the units digit of q? 9 Let c be ((-18)/12)/(6/(-32)). Suppose -5*v = -q + 17, -3*q + 5*v + 39 = c. Let p = 14 - q. What is the units digit of p? 7 Suppose -2*o + 0*o + 10 = 0. Suppose -4*v + 1 = j + 4, -4*v - o*j =
{ "pile_set_name": "DM Mathematics" }
-35702*k**5 + 56*k**3 + 3328609*k**2? -2142120*k**2 + 336 What is the second derivative of 111630308*u**3 + 108*u - 1199702 wrt u? 669781848*u What is the second derivative of 468*j**5*v + 8*j**3 + 35*j**2*v - 2*j*v + 5653*j + 25 wrt j? 9360*j**3*v + 48*j + 70*v Differentiate 491074*n**3*q - 7*n*q - 6768*q + 292 wrt n. 1473222*n**2*q - 7*q Find the second derivative of -3*z**4 + 5*z**3 + 3512*z**2 - 34832227*z. -36*z**2 + 30*z + 7024 What is the third derivative of -f**5 + 1794*f**4 + 7*f**3 - 5976*f**2 + 12*f - 4 wrt f? -60*f**2 + 43056*f + 42 What is the second derivative of 25668*u**4 - 712*u**2 - 421056825*u wrt u? 308016*u**2 - 1424 What is the second derivative of -21585759*p**5 - 14682552*p wrt p? -431715180*p**3 Find the third derivative of -133651728*j**3 - 3142160*j**2 + 44*j wrt j. -801910368 Find the first derivative of -1603252*i - 3201940. -1603252 What is the derivative of -147872997*i + 120814845? -147872997 What is the third derivative of 60092959*h**3 + 19190592*h**2? 360557754 What is the third derivative of -278519586*w**3 + 1292493910*w**2 wrt w? -1671117516 What is the second derivative of 41494984*h*p**2 - 42781*h*p - 15*p + 8 wrt p? 82989968*h Find the third derivative of -275788*o**4 - 32*o**3 + 38*o**2 + 167099*o wrt o. -6618912*o - 192 What is the third derivative of -47856464*t**6 - t**2 + 198*t + 42187? -5742775680*t**3 Differentiate -3*f**2*l - 362*f**2 - 77*f*l + 2*f + 11190490*l wrt f. -6*f*l - 724*f - 77*l + 2 Differentiate -546766332*k*p**2 + 398137099*k with respect to p. -1093532664*k*p Find the third derivative of -4341038*n**4 - 1609*n**2 + 1125*n wrt n. -104184912*n What is the second derivative of -93970281*s**2 - 53565203*s wrt s? -187940562 Differentiate -139567758*t*u - 34360*u - 446 wrt t. -139567758*u Find the second derivative of 6*a**3*t**2 - 2*a**3*t + 4*a**3 + 11813119*a**2*t**2 - 2*a**2*t + 2*a + 456*t + 892 wrt t. 12*a**3 + 23626238*a**2 Find the third derivative of -1418836903*z**3 - 1809271*z**2 + 7 wrt z. -8513021418 What is the third derivative of 3247884*w**5 + 2*w**4 + 9975658*w**2? 194873040*w**2 + 48*w What is the second derivative of -1874209*s**4*x**3 + 8*s**4 - 4*s*x**3 + 4*s*x + 162*x**3 + x**2 + 3*x + 257 wrt s? -22490508*s**2*x**3 + 96*s**2 Find the second derivative of 2*g**2*j**2 - 168*g**2*j - 2128*g**2 + 2*g - 3307161*j**2 - 2 wrt g. 4*j**2 - 336*j - 4256 Find the third derivative of -302310532*b**3 - 2*b**2 + 358*b - 191168. -1813863192 Differentiate 20234610*u**3 + 14046415. 60703830*u**2 Find the second derivative of 727421265*w**4 + 1433*w - 15212 wrt w. 8729055180*w**2 What is the second derivative of 73082872*r*w**3 + 1310*r*w + 2*r + 4*w**3 - 23301*w wrt w? 438497232*r*w + 24*w What is the derivative of -434780163*m**3 - 168110502? -1304340489*m**2 Differentiate -153*k**3 - 106084*k**2 + 15553776. -459*k**2 - 212168*k Find the second derivative of 125413532*m**2*u**3 - 110*m*u**3 - 5*m*u**2 - 95640*m wrt m. 250827064*u**3 What is the third derivative of 5329848*p**3*z**3 + p**3*z + 82*p**2 + 7119*p*z**2 - z**2 wrt z? 31979088*p**3 What is the derivative of -7017*d**2*l - 200272527*d**2 - 9117*d*l wrt l? -7017*d**2 - 9117*d What is the third derivative of 193*t**6 - 3094*t**5 + 5*t**2 + 103406*t wrt t? 23160*t**3 - 185640*t**2 Find the third derivative of -146961016*w**6 + 190565744*w**2 wrt w. -17635321920*w**3 Find the first derivative of -5152374*i**2 - 8552874 wrt i. -10304748*i Differentiate -112770233*p**2 + 26946675 wrt p. -225540466*p Differentiate 1663*m*o - 41*m + 1650*o - 111218 with respect to o. 1663*m + 1650 Differentiate t*y**2 - 22989979*t + 46976*y**2 - 6233*y wrt t. y**2 - 22989979 Find the third derivative of 360725151*f**5 + 2521239*f**2 - f - 1 wrt f. 21643509060*f**2 Find the third derivative of -2861313*k**3*z**3 + 51*k**3*z - 29*k*q*z**3 - 25*k*q*z - 4563*z**2 wrt z. -17167878*k**3 - 174*k*q What is the second derivative of -45016*f**3 + 52*f**2 - 910420*f - 1? -270096*f + 104 What is the second derivative of 257962462*n**2 + 162729332*n? 515924924 What is the third derivative of 68388740*l**4 + 72083*l**2 + 2989 wrt l? 1641329760*l Differentiate -1238*j**4 - 3*j**3 + 18*j**2 - 2725757. -4952*j**3 - 9*j**2 + 36*j Find the third derivative of 2*j**6 - 127098745*j**3 - 2*j**2 + 18975124*j. 240*j**3 - 762592470 Find the third derivative of 7*w**5 + 2109883*w**4 + 2*w**3 + 132*w**2 - 52*w - 1141. 420*w**2 + 50637192*w + 12 What is the second derivative of 708*c**4 + 8523*c**2 - 7369334*c wrt c? 8496*c**2 + 17046 What is the first derivative of -7*d*l**2 - 445*d*l - 1059*d + l**2 + 1517210*l + 1 wrt d? -7*l**2 - 445*l - 1059 What is the derivative of -2*h*t**2 + 89*h*t + 411222716*h + 5*t**2 - 1541*t wrt t? -4*h*t + 89*h + 10*t - 1541 Find the third derivative of 17667503*v**5 - 23209083*v**2. 1060050180*v**2 Find the third derivative of -291730618*h**5 + 689169070*h**2. -17503837080*h**2 What is the second derivative of w**4 - 326288*w**3 - 14*w**2 + 174738490*w wrt w? 12*w**2 - 1957728*w - 28 What is the first derivative of 6278494*q**2 - 6672123 wrt q? 12556988*q Differentiate -843568*c**2*p*u + 3*c**2*p + 140775*p + 6*u wrt c. -1687136*c*p*u + 6*c*p Find the third derivative of 46373499*t**3 - 7*t**2 - 29064*t wrt t. 278240994 What is the second derivative of -14020941*x**2 - 24708585*x? -28041882 What is the second derivative of -42250*y**4 + 28*y**3 - 125*y + 15428? -507000*y**2 + 168*y What is the derivative of -30*f**3*y - 130082*f**3 + 164365*f**2*y + 2*f**2 - f - 4*y + 1 wrt y? -30*f**3 + 164365*f**2 - 4 What is the third derivative of -81455*c**4 + 26*c**3*r**2 + 692*c**2*r**2 + 110*c**2 wrt c? -1954920*c + 156*r**2 Differentiate 88051053*d + 72945801 wrt d. 88051053 Find the first derivative of -138149*l**3 + 70*l - 2611391. -414447*l**2 + 70 Differentiate -86473*m**3 + 3*m**2 - 6*m - 6915196. -259419*m**2 + 6*m - 6 Find the third derivative of -2*b**3*f**3 - 304*b**3*f - 110*b**3 + 308*b**2*f**2 + 1598*b*f**3 wrt b. -12*f**3 - 1824*f - 660 What is the second derivative of -i**5 + 6594430*i**2 + 8706172*i? -20*i**3 + 13188860 Find the third derivative of -6116*m*v**4 - 729816*m + v**4 - 125*v**3 - 7*v**2 wrt v. -146784*m*v + 24*v - 750 What is the third derivative of -400*a*u**5 + 97026*a*u**4 - 2*a*u**2 + 3*a*u + 3610002*a + 2*u**2 wrt u? -24000*a*u**2 + 2328624*a*u Differentiate -j*r*t**2 + 1442*j*r - 15*j*t**3 + 721*j*t + 45544*r*t**3 - 42*t**3 with respect to r. -j*t**2 + 1442*j + 45544*t**3 Find the second derivative of 185143012*m**2 - 13467637*m - 1 wrt m. 370286024 Find the second derivative of -1235511*b*p**3 - 4*b*p + 12*b + 13*p**3 - 422*p + 376 wrt p. -7413066*b*p + 78*p Find the third derivative of -95147366*q**3 + 58*q**2 + 98*q + 10683. -570884196 What is the second derivative of 26417*s**3*v**3 - 4*s**3*v + 2*s**3 - 368*s**2*v + 2*s*v - 233*v**4 - 33*v wrt v? 158502*s**3*v - 2796*v**2 Find the second derivative of -93628981*q*w**3 - q*w**2 + 6*q*w + 2449*q + 68*w - 1 wrt w. -561773886*q*w - 2*q Find the second derivative of 159093708*f**3 + 2*f**2 + 136951*f - 1150 wrt f. 954562248*f + 4 What is the first derivative of 8013754*q - 6131657? 8013754 What is the second derivative of -9944211*i**2*o**2 + 4*i**2*o - 13*i*o**2 + i*o - i + 3*o**2 + 57402*o wrt i? -19888422*o**2 + 8*o Differentiate -156095188*y + 354859275 wrt y. -156095188 What is the second derivative of 24*m**2*p**2*y**2 + m**2*p*y**2 + 17*m**2*p*y + 2*m**2*y**2 - 514420*m*p**2*y**2 - 5*m*p*y**2 - 151*m*p*y wrt p? 48*m**2*y**2 - 1028840*m*y**2 What is the second derivative of 35373568*p**3 - 324942601*p? 212241408*p Find the first derivative of 1516*n**4 - 838*n - 59556453. 6064*n**3 - 838 What is the first derivative of 29*b**4*g + 171253*b*g + 239268*g wrt b? 116*b**3*g + 171253*g Find the third derivative of 358481075*v**6 + 9199*v**2 - v - 10 wrt v. 43017729000*v**3 What is the derivative of -4*h**4 + 189610*h**3 + 1678428? -16*h**3 + 568830*h**2 Find the third derivative of 35*i*j**4 + 4024*i*j**3 + 5790*i*j**2 - 2*i*j - 10*i - 3*j**5 + 2*j**2 + 4 wrt j. 840*i*j + 24144*i - 180*j**2 What is the third derivative of 570986164*i**3*u - 41*i**2*u + 31184*i**2 + 29*u wrt i? 3425916984*u Find the first derivative of 193518405*b**4 - 9207422. 774073620*b**3
{ "pile_set_name": "DM Mathematics" }
/110 Calculate prob of sequence vcc when three letters picked without replacement from vovvvvvcv. 0 What is prob of sequence bslb when four letters picked without replacement from {s: 4, l: 5, b: 2, q: 1, n: 4}? 1/1092 Three letters picked without replacement from {c: 1, r: 3, x: 2, u: 1, z: 3}. What is prob of sequence uru? 0 Calculate prob of sequence hhqq when four letters picked without replacement from hqhqhh. 1/15 Calculate prob of sequence dv when two letters picked without replacement from {v: 1, n: 2, t: 2, h: 3, d: 1, c: 3}. 1/132 Calculate prob of sequence ttt when three letters picked without replacement from eteettetteetet. 5/52 Two letters picked without replacement from jmyjmxmyxgmyff. What is prob of sequence fx? 2/91 Two letters picked without replacement from llllrlrzrzr. What is prob of sequence zl? 1/11 Four letters picked without replacement from {y: 14, v: 5}. What is prob of sequence yyvv? 455/11628 Calculate prob of sequence fff when three letters picked without replacement from qqqffqqffq. 1/30 Calculate prob of sequence vvz when three letters picked without replacement from vzzvoioihozxho. 1/364 What is prob of sequence ly when two letters picked without replacement from jlujhjjyh? 1/72 Two letters picked without replacement from jawuw. Give prob of sequence aw. 1/10 Two letters picked without replacement from {m: 1, z: 1, u: 1}. What is prob of sequence uz? 1/6 Four letters picked without replacement from {o: 9, t: 3, r: 1, m: 1}. Give prob of sequence ttmt. 1/4004 What is prob of sequence coco when four letters picked without replacement from {c: 2, o: 6}? 1/28 Two letters picked without replacement from {l: 17, d: 2}. What is prob of sequence dl? 17/171 Four letters picked without replacement from zzzrzrzr. Give prob of sequence zzzz. 1/14 Two letters picked without replacement from oeooeoeoeooeeoeeoe. What is prob of sequence oo? 4/17 Two letters picked without replacement from {w: 3, z: 8}. What is prob of sequence ww? 3/55 Two letters picked without replacement from {a: 3, i: 6, c: 1, f: 2, g: 1}. What is prob of sequence gi? 1/26 Three letters picked without replacement from bmimbwbiimmwiw. What is prob of sequence bwm? 3/182 Calculate prob of sequence nsn when three letters picked without replacement from {s: 2, n: 2}. 1/6 Two letters picked without replacement from iijjji. Give prob of sequence jj. 1/5 Two letters picked without replacement from {n: 9, b: 10}. What is prob of sequence nb? 5/19 What is prob of sequence ww when two letters picked without replacement from wwu? 1/3 Four letters picked without replacement from {e: 1, g: 10, w: 2, h: 1, o: 4}. Give prob of sequence ewoh. 1/9180 Three letters picked without replacement from {w: 13, r: 2, v: 3}. What is prob of sequence vrv? 1/408 What is prob of sequence keft when four letters picked without replacement from {t: 2, f: 2, k: 1, e: 1}? 1/90 What is prob of sequence nm when two letters picked without replacement from qmmrrqrmrqrrn? 1/52 Two letters picked without replacement from {n: 2, r: 3, l: 3, d: 4, k: 1, p: 3}. What is prob of sequence dn? 1/30 Calculate prob of sequence kkg when three letters picked without replacement from kaakkaagkaakgkkkkkk. 110/2907 Three letters picked without replacement from {f: 5, w: 2, d: 3, a: 3}. What is prob of sequence awf? 5/286 Four letters picked without replacement from kwlmara. Give prob of sequence aalk. 1/420 Two letters picked without replacement from {y: 1, b: 2, c: 1, v: 2, g: 1, z: 8}. What is prob of sequence vz? 8/105 Four letters picked without replacement from nnnnnntnhnn. What is prob of sequence nhtn? 1/110 Four letters picked without replacement from {c: 3, g: 1, y: 7, u: 1}. Give prob of sequence ycuc. 7/1980 Calculate prob of sequence rr when two letters picked without replacement from {c: 1, g: 1, x: 2, r: 3, f: 3}. 1/15 Two letters picked without replacement from ouuoo. What is prob of sequence uu? 1/10 What is prob of sequence grrr when four letters picked without replacement from arorrrgroorug? 2/143 Three letters picked without replacement from gmxwxmjgggxw. What is prob of sequence ggw? 1/55 Two letters picked without replacement from {c: 3, v: 13}. What is prob of sequence vv? 13/20 Three letters picked without replacement from {c: 6, g: 1, k: 7}. What is prob of sequence kkk? 5/52 Four letters picked without replacement from {k: 2, d: 2, g: 1, s: 1, j: 1}. Give prob of sequence dksj. 1/210 What is prob of sequence cm when two letters picked without replacement from jjjcjjjjmjajajjjrjj? 1/342 Four letters picked without replacement from anshb. Give prob of sequence bsha. 1/120 Calculate prob of sequence fw when two letters picked without replacement from {f: 2, w: 1, s: 4}. 1/21 What is prob of sequence le when two letters picked without replacement from {e: 12, l: 2, n: 5}? 4/57 Four letters picked without replacement from {d: 1, z: 1, l: 1, v: 2}. Give prob of sequence vdvl. 1/60 Calculate prob of sequence aja when three letters picked without replacement from qaaqaqaqjaaaq. 7/286 Calculate prob of sequence rbr when three letters picked without replacement from wbrrjjrrwb. 1/30 Two letters picked without replacement from {t: 2, a: 3, d: 3, z: 1, v: 3, p: 3}. Give prob of sequence zd. 1/70 Two letters picked without replacement from stsyyjpt. Give prob of sequence ys. 1/14 Three letters picked without replacement from {b: 2, f: 2, m: 1, l: 1}. What is prob of sequence flm? 1/60 What is prob of sequence sqk when three letters picked without replacement from {s: 2, k: 2, q: 1, b: 1, r: 4}? 1/180 Three letters picked without replacement from nveevvveevevneeee. What is prob of sequence nvv? 1/68 Calculate prob of sequence nh when two letters picked without replacement from hhsfswhnnwfshhfhs. 3/68 Four letters picked without replacement from jojffjofwwowwwywfyw. Give prob of sequence yoyf. 1/3876 Calculate prob of sequence sbzz when four letters picked without replacement from {s: 14, z: 5, b: 1}. 7/2907 Four letters picked without replacement from kuuxnnexnknnunxnnuuk. What is prob of sequence exkx? 1/6460 Two letters picked without replacement from fxffssxfxfffxxxxxf. Give prob of sequence xx. 28/153 What is prob of sequence iy when two letters picked without replacement from {y: 10, i: 2}? 5/33 Four letters picked without replacement from llllcvscccccvcscllc. What is prob of sequence lccs? 3/323 Two letters picked without replacement from ljpilgp. Give prob of sequence lp. 2/21 What is prob of sequence ew when two letters picked without replacement from {e: 11, w: 5}? 11/48 Calculate prob of sequence yezy when four letters picked without replacement from rrteetzeyywrtwww. 1/7280 Four letters picked without replacement from nmvmvvvmnmmnwwvwm. Give prob of sequence vmvn. 3/476 Calculate prob of sequence ya when two letters picked without replacement from katiayx. 1/21 Calculate prob of sequence ssup when four letters picked without replacement from psupspsu. 3/140 Three letters picked without replacement from eeemmeemeemm. Give prob of sequence eme. 7/44 Two letters picked without replacement from xuuu. What is prob of sequence xu? 1/4 Three letters picked without replacement from {v: 2, x: 2, q: 8}. What is prob of sequence xqx? 2/165 Three letters picked without replacement from qgjqqqdd. Give prob of sequence qqq. 1/14 Four letters picked without replacement from vvvyhxxyllhyol. Give prob of sequence lyox. 3/4004 What is prob of sequence nnn when three letters picked without replacement from qnqnqqqq? 0 Calculate prob of sequence nte when three letters picked without replacement from {t: 3, n: 3, e: 5, a: 2}. 15/572 Calculate prob of sequence jjb when three letters picked without replacement from {b: 7, j: 3}. 7/120 What is prob of sequence ppss when four letters picked without replacement from {e: 5, s: 2, p: 2}? 1/756 Calculate prob of sequence hhi when three letters picked without replacement from chcccccccccijcc. 0 What is prob of sequence pj when two letters picked without replacement from jjjpjjjjjjjjjjjjjj? 1/18 What is prob of sequence rere when four letters picked without replacement from ereeeeereeee? 1/66 Calculate prob of sequence ppp when three letters picked without repl
{ "pile_set_name": "DM Mathematics" }
ed to the nearest 1000? -39000 What is 535.5 rounded to the nearest 10? 540 Round -230 to the nearest one hundred. -200 What is -59834000 rounded to the nearest one hundred thousand? -59800000 What is 2038000 rounded to the nearest 100000? 2000000 What is 1106000 rounded to the nearest one hundred thousand? 1100000 What is -0.000007323 rounded to 6 dps? -0.000007 What is 0.00000324 rounded to seven dps? 0.0000032 Round -0.00000088 to 7 decimal places. -0.0000009 Round -296100 to the nearest ten thousand. -300000 What is 67 rounded to zero dps? 67 What is -290.53 rounded to the nearest 100? -300 What is -207740 rounded to the nearest one hundred thousand? -200000 Round 0.00003002 to 5 dps. 0.00003 Round 7.91 to zero decimal places. 8 What is 0.31761 rounded to 3 dps? 0.318 Round -30594000 to the nearest 1000000. -31000000 What is 0.00006716 rounded to 6 dps? 0.000067 What is -0.000005916 rounded to 6 decimal places? -0.000006 What is -759 rounded to the nearest one thousand? -1000 What is -303400 rounded to the nearest ten thousand? -300000 What is -0.00000061 rounded to 6 dps? -0.000001 What is -0.846 rounded to 1 decimal place? -0.8 What is -772000 rounded to the nearest 100000? -800000 Round -2407.1 to the nearest 100. -2400 Round -22140 to the nearest 1000. -22000 What is 47139 rounded to the nearest 1000? 47000 What is -0.0000688 rounded to 4 decimal places? -0.0001 Round 0.05 to 1 decimal place. 0.1 Round -0.2571 to one dp. -0.3 What is -0.000004645 rounded to seven dps? -0.0000046 Round -0.00529114 to 5 dps. -0.00529 What is 5101 rounded to the nearest 1000? 5000 Round 0.00003152 to 7 decimal places. 0.0000315 Round -1.4335 to one decimal place. -1.4 Round 0.0000026029 to 7 decimal places. 0.0000026 Round -27950 to the nearest one hundred. -28000 What is -8436 rounded to the nearest 100? -8400 Round -21956000 to the nearest one million. -22000000 Round 87.1 to the nearest integer. 87 Round -0.00000075178 to seven dps. -0.0000008 What is -0.00002514 rounded to 5 decimal places? -0.00003 Round 8329 to the nearest one hundred. 8300 Round 0.0006194 to 4 decimal places. 0.0006 What is 1476.1 rounded to the nearest 100? 1500 Round -0.00000262 to seven decimal places. -0.0000026 What is 0.008186 rounded to 3 dps? 0.008 What is -0.0000063259 rounded to 6 decimal places? -0.000006 Round 0.1053 to two decimal places. 0.11 What is 0.000616 rounded to 4 decimal places? 0.0006 What is -0.004042 rounded to four decimal places? -0.004 What is -0.009102 rounded to 4 decimal places? -0.0091 Round 0.0050661 to 4 dps. 0.0051 Round -1691600 to the nearest 10000. -1690000 What is -0.025 rounded to 1 decimal place? 0 Round -0.0034954 to three decimal places. -0.003 What is -20.7 rounded to the nearest integer? -21 What is -0.000025334 rounded to 7 dps? -0.0000253 Round 0.00000008311 to seven decimal places. 0.0000001 What is 7.5053 rounded to 1 decimal place? 7.5 Round -0.016915 to 4 dps. -0.0169 Round 0.008854 to 3 decimal places. 0.009 What is 637.179 rounded to the nearest 10? 640 What is 3653 rounded to the nearest one hundred? 3700 What is 0.047627 rounded to 2 decimal places? 0.05 Round 3753000 to the nearest one hundred thousand. 3800000 What is -353430 rounded to the nearest one hundred thousand? -400000 What is -1.479 rounded to 2 decimal places? -1.48 What is 0.0000032891 rounded to 7 dps? 0.0000033 Round 0.00006907 to six dps. 0.000069 Round -77030 to the nearest 1000. -77000 Round 35.296 to the nearest 10. 40 What is 435000 rounded to the nearest one hundred thousand? 400000 Round 0.000074202 to 6 dps. 0.000074 Round -301.63 to the nearest 10. -300 What is -12641 rounded to the nearest 100? -12600 What is 0.00002714 rounded to 6 decimal places? 0.000027 Round 6470000 to the nearest one million. 6000000 What is 0.0113858 rounded to four dps? 0.0114 What is 0.00001067 rounded to 6 dps? 0.000011 What is 2984600 rounded to the nearest 1000000? 3000000 What is 205 rounded to the nearest 100? 200 What is -0.0003289 rounded to five decimal places? -0.00033 What is -428.14 rounded to the nearest integer? -428 Round 2090 to the nearest one thousand. 2000 Round 820000 to the nearest 10000. 820000 What is 0.000784 rounded to four decimal places? 0.0008 Round 531.34 to the nearest 10. 530 Round 985840 to the nearest one hundred thousand. 1000000 Round -4.0097 to the nearest integer. -4 What is 76884 rounded to the nearest 1000? 77000 What is 272190 rounded to the nearest 10000? 270000 What is -0.000001048 rounded to seven dps? -0.000001 Round -3.2835 to two dps. -3.28 Round 6.451 to 1 dp. 6.5 Round 329.99 to the nearest ten. 330 Round -434060000 to the nearest 1000000. -434000000 Round -22880000 to the nearest 1000000. -23000000 Round 43708 to the nearest ten thousand. 40000 Round -0.379 to the nearest ten. 0 Round 1.9562 to 1 decimal place. 2 Round -15910 to the nearest one hundred. -15900 What is 0.096662 rounded to 2 dps? 0.1 What is 0.000014256 rounded to 6 decimal places? 0.000014 Round 0.01451 to four dps. 0.0145 Round 452.58 to zero decimal places. 453 Round -35.933 to the nearest ten. -40 Round -0.2291 to one decimal place. -0.2 Round -64490 to the nearest 10000. -60000 Round -0.048884 to four dps. -0.0489 Round -0.00004131 to 5 dps. -0.00004 What is -0.00000459175 rounded to seven decimal places? -0.0000046 Round 22.4 to the nearest ten. 20 What is -0.38212 rounded to 3 dps? -0.382 What is -2.979 rounded to 1 decimal place? -3 What is 0.01423 rounded to three dps? 0.014 What is 1805300 rounded to the nearest one million? 2000000 What is -18341 rounded to the nearest one hundred? -18300 Round 166.8 to the nearest 10. 170 Round 1.739 to zero decimal places. 2 What is 0.000009372 rounded to six dps? 0.000009 Round -380000 to the nearest 10000. -380000 What is -87440 rounded to the nearest ten thousand? -90000 Round -4211 to the nearest one thousand. -4000 Round 0.0000003055 to 7 dps. 0.0000003 Round -0.000000014 to 7 dps. 0 Round -900000 to the nearest ten thousand. -900000 What is -0.0000248 rounded to 5 dps? -0.00002 What is 0.0000994 rounded to 5 dps? 0.0001 What is -130000 rounded to the nearest 10000? -130000 Round 0.0111704 to four dps. 0.0112 What is 0.04435 rounded to 3 decimal places? 0.044 Round 0.204 to 1 decimal place. 0.2 Round -0.00000609 to seven decimal places. -0.0000061 Round 13250000 to the nearest one hundred thousand. 13300000 Round 7321.9 to the nearest one hundred. 7300 What is -3.077 rounded to zero dps? -3 What is 0.0054678 rounded to three decimal places? 0.005 What is 10.09 rounded to 1 dp? 10.1 Round -0.001791 to 4 dps. -0.0018 Round 0.0011703 to 5 decimal places. 0.00117 Round -0.0000098366 to 7 dps. -0.0000098 What is -0.3576 rounded to two dps? -0.36 What is 10590 rounded to the nearest one thousand? 11000 What is -0.00000719 rounded to seven dps? -0.0000072 What is 0.00002724 rounded to five dps? 0.00003 Round -0.0434 to 3 dps. -0.043 What is 6480000 rounded to the nearest 1000000? 6000000 Round -0.022206 to 4 dps. -0.0222 What is -0.00015216 rounded to six decimal places? -0.000152 Round -717000 to the nearest 10000. -720000 Round -0.0001894 to 5 decimal places. -0.00019 What is 1991300 rounded to the nearest 100000? 2000000 Round -0.00102128 to 5 dps. -0.00102 Round -0.49416 to three dps. -0.494 Round 1427 to the nearest one hundred. 1400 Round -5421000 to the nearest one hundred thousand. -5400000 Round 0.00767 to three dps. 0.008 Round 0.000000793 to six dps. 0.000001 Round 3568 to the nearest 100. 3600 What is 9350000 rounded to the nearest one million? 9000000 Round 1153340 to the nearest one hundred thousand. 1200000 Round -0.976 to 1 decimal place. -1 Round -0.000003321 to 7 decimal places. -0.0000033 Round -0.000117539 to six decimal places. -0.000118 What is 4.287 rounded to the nearest integer? 4 What is -5560 rounded to the nearest 1000? -6000 Round -18890000 to the nearest 100000. -18900000 Round -739020 to the nearest 100000. -700000 What is 10681 rounded to the nearest 100? 10700 Round 0.00006617 to five dps. 0.00007 What is 110.18 rounded to zero dps? 110 What is -0.000027 rounded to 5 dps? -0.00003 What is -1.595 rounded to one dp? -1.6 Round -0.03066 to 3 dps. -0.031 Round -41.48 to the nearest inte
{ "pile_set_name": "DM Mathematics" }
late the highest common factor of f and k. 8 Let q = -109 - -739. Suppose 13*m - q - 33 = 0. What is the greatest common factor of 68 and m? 17 Suppose -2*x = 0, 5*x + 8 + 22 = 5*a. Let y be (0 - 21/6)*-6. What is the highest common divisor of a and y? 3 Let g = 17402 - 17181. What is the greatest common divisor of 91 and g? 13 Let i = 7240 + -6556. What is the greatest common factor of i and 96? 12 Let g be -4 - ((-2)/4)/(3092/(-344) + 9). What is the greatest common divisor of g and 3146? 13 Suppose -85*q = -70*q - 15502 - 2348. What is the greatest common divisor of q and 85? 85 Let m(x) = -4*x**2 + 89*x - 61. Let a be m(21). Calculate the greatest common divisor of 3124 and a. 44 Let i(o) = 23*o**2 + 1387 - 700 - 12*o - 706. Let u be i(5). What is the highest common factor of 16 and u? 16 Suppose 4*y - 12168 = 4*c, -116*c + 121*c - 6105 = -2*y. Calculate the highest common divisor of y and 245. 35 Let q(h) = h**3 + 5*h**2 - 4*h**2 - 6*h**2 + 5*h. Let f be q(6). Suppose -8*m = -11*m + 132. Calculate the greatest common factor of m and f. 22 Suppose x - 65 = -4*y, -4*x - 7 - 5 = 0. Let u = y + 95. What is the highest common divisor of u and 14? 14 Suppose -o = -4*k - 159, 11*o + 4*k = 14*o - 445. Calculate the greatest common divisor of 403 and o. 13 Let v = 3566 + -3503. What is the greatest common factor of 99 and v? 9 Let j = 4840 - 4466. What is the greatest common factor of j and 238? 34 Suppose 0 = 12*j + 124*j - 261120. What is the greatest common divisor of 30 and j? 30 Let p(a) = -151*a - 128. Let b be p(-18). What is the greatest common factor of b and 148? 74 Let x be -4*((-2)/5 - 243/180) - -35. Let u = -4 + 7. Suppose 8*k - 128 = u*k - 3*y, 32 = k - y. Calculate the greatest common divisor of x and k. 14 Let d be 3168/120 + (-1 - 16/(-10)). Suppose 39*b - 36*b = d. Let h = 33 + -15. Calculate the greatest common factor of h and b. 9 Let q(c) = c + 45. Let n be q(0). Let i = n - 41. Suppose 0 = 2*r + s - 20, -s - 32 = -i*r + s. What is the highest common divisor of 9 and r? 9 Let d = -1847 + 1859. Let x be -6*1 - 0/(-2). Let z be x*(-7)/(-2)*d/(-4). Calculate the highest common factor of z and 9. 9 Suppose -75*h + 32*h = -21*h - 4752. What is the highest common divisor of 120 and h? 24 Suppose 0 = 3*j - 56 - 1249. Suppose -75 + j = 10*p. Calculate the greatest common factor of p and 576. 36 Suppose 5*s - 25572 - 39049 = 3*j, 3*s = -5*j + 38725. What is the greatest common divisor of 85 and s? 85 Let q = -143 - -235. Suppose 33*f + 62*f = 27*f + 272. Calculate the highest common divisor of f and q. 4 Let l(w) = -w**3 + 76*w**2 + 137*w. Let v be l(76). What is the highest common factor of 38 and v? 38 Let n = -144 + 162. Let a be 20/(-15)*81/(-2). Let i = 56 - a. Calculate the highest common divisor of n and i. 2 Let c = 165 + 90. Suppose 5*g = 1005 + c. Calculate the greatest common factor of g and 24. 12 Suppose 2*g - p = 2015, -149*p + 4031 = 4*g - 150*p. Calculate the greatest common factor of 112 and g. 112 Suppose -5*j + 20 = 4*r - 6*j, j + 24 = 5*r. Let n be 1676/14 - 6/(-21). Let v = 184 - n. Calculate the highest common factor of r and v. 4 Let p be (-2 + 0)/(245/84 - 3). Let b(k) = 2*k**3 - 4*k**2 + 6. Let s be b(5). What is the greatest common factor of s and p? 12 Let g(d) = -d**3 - 47*d**2 + 143*d + 61. Let c be g(-50). Calculate the greatest common factor of 548 and c. 137 Let b(t) = -66*t**2 + 271*t - 4. Let f be b(4). What is the highest common factor of f and 5628? 12 Let z(y) = 9*y**2 - 69*y + 66. Let d be z(-21). What is the greatest common divisor of d and 12? 12 Let h(k) = -2*k**2 + 8*k + 31. Let o be h(6). Suppose o*i = 410 + 24. Calculate the greatest common factor of i and 186. 62 Let t(o) = 15*o + 72. Let d be t(-4). Suppose -d = 11*m - 243. Calculate the greatest common divisor of m and 28. 7 Suppose -16 = 5*j - 41. Suppose 5*z - 28 - 27 = -5*m, j*m - 2*z = 48. Let c be -3*(-30)/9*1/1. Calculate the highest common factor of m and c. 10 Let f be (0 - (-71)/2) + 10/20. Let l be f - (-4 + (0 - 0)). Suppose -68 = -s + l. Calculate the highest common divisor of 12 and s. 12 Let f = 24614 + -24565. Let c(o) = 2*o**3 - o**2 - 3*o + 1. Let n be c(2). What is the highest common factor of f and n? 7 Let b(y) = 6*y**2 + 8*y + 1. Suppose 5*q + 5*d + 16 = 9*d, 0 = -2*d - 2. Let a be b(q). Let i = -17 + a. What is the greatest common factor of i and 192? 48 Let k be 4/6 + (-390)/(-9). Let b = k - 32. What is the greatest common factor of b and 42? 6 Suppose 3*w = 4*v + 5, 0 = 4*w + 6*v - 2*v - 16. Suppose -2*q - 5*a + 39 = 0, 8 = -4*q + w*q + 3*a. What is the greatest common factor of q and 175? 7 Let q = -25918 - -26033. Suppose -5*c + c + 184 = 0. Calculate the greatest common factor of c and q. 23 Let q be (((-14)/(-21))/(4 - 2))/((-2)/(-216)). Suppose -2*u - 2*u = -288. What is the highest common factor of q and u? 36 Let n(c) = 4*c + 398. Let l be n(-23). Calculate the greatest common divisor of l and 68. 34 Suppose 31*l = -15365 + 2531. Let j = 418 + l. What is the greatest common factor of j and 44? 4 Suppose 228 = b - 2*o + 34, 0 = -3*b - o + 638. Calculate the highest common factor of b and 658. 14 Suppose 0 = -812*i + 788*i + 153 - 33. Let v be (-4 + -4)/((-2)/40). Calculate the greatest common divisor of v and i. 5 Suppose -14*t + 4*f - 1002 = -12*t, -t - 2*f = 509. Let r = 438 - t. Calculate the greatest common factor of 41 and r. 41 Let f be 6/(-27) + ((-2576)/(-9))/(-8). Let y(k) = k + 2. Let w be y(-4). Let l be ((-18)/f)/(w/(-684)). What is the highest common divisor of 19 and l? 19 Let g be 424 + (1 + -2 - -2). Let a be 1*3*((-8)/(-36) + 1421/261). What is the highest common factor of g and a? 17 Suppose 282 = 8*x - 5*p, 0 = 136*x - 140*x + 3*p + 146. Let l(j) = 15*j**2 - 5*j + 1. Let h be l(-4). Calculate the highest common divisor of h and x. 29 Suppose 174*b - 32568 = -125*b + 2415. Let q be (234/5)/3*5. Calculate the greatest common divisor of q and b. 39 Let v be (12/(-14))/((-2)/(-10))*21. Let j = v - -166. What is the greatest common factor of j and 19? 19 Suppose -3*z - 4*t - 4 = 6, 0 = -z + t + 6. Let b be -48 - (z - (0 + -2)). Let a = b + 83. What is the highest common divisor of a and 341? 31 Let z be ((-27)/81)/(((-1)/(-3))/1). Let b = z + 3. Suppose -2*a + 44 = 3*k - 19, -b*k - 118 = -4*a. What is the highest common factor of 270 and a? 30 Let x = 24698 + -24513. What is the highest common divisor of 37 and x? 37 Let d(s) = -s**3 - 29*s**2 - 103*s - 74. Let j be d(-25). Let n be (-1)/1 - (-42 + 0). Let f = n - j. Calculate the highest common factor of 100 and f. 20 Let v be (-60)/(-4)*2/(-3). Let o(k) = k**2 + k - 72. Let i be o(v). What is the greatest common factor of 288 and i? 18 Let k = -85 - -121. Suppose 17*m - k = 8*m. Suppose 3*i - 1093 = n, -m*i + 5*n + 1825 = i. What is the highest common divisor of i and 52? 52 Suppose 34112*h = 34104*h + 784. What is the highest common divisor of h and 9261? 49 Let a(i) = -i**3 - 10*i**2 - 50*i + 70. Let o be a(-17). What is the greatest common divisor of 109 and o? 109 Suppose 2*s + 5*h + 1 = s, 3*h + 9 = 0. Suppose s*b - 2515 = 1181. Suppose 0 = 18*j - 6*j - b. What is the greatest common divisor of j and 66? 22 Suppose 243096 = 84*v - 28*v - 94584. What is the greatest common divisor of 90 and v? 90 Let o(q) = 42*q + 253. Let a be o(9). Suppose 12*t - a = -31. Let u(s) = s**3 - s + 5. Let l be u(5). Calculate the highest common factor of t and l. 25 Suppose 4 - 25 = -3*m. Suppose m*a + 392 = 21*a. Calculate the greatest common divisor of a and 644. 28 Let j(q) = 180*q**2 - 2*q + 1. Let y be j(1). Let g = 387 - y. Suppose 0 = a + 4, -5*r - a + 163 = -g. What is the greatest common divisor of 25 and r? 25 Suppose -1 = 2*s - i - 9, 0 = 5*i - 20. Suppose 31*c = -s*c + 925. Let f be 104/10 + 6/(-15). What is the highest common factor of c and f? 5 Suppose 77*u - 790 = -2*u. What is the highest common factor of u and 290? 10 Let n(a) = -a**3 + 16*a**2 + a - 22. Let f be n(16). Let m be (-2)/(-3) + ((-788)/f - 1). Let r = m + 245. Calculate the highest common factor of 47 and r. 47 Let f = -3090 + 3098. What is the highest common factor of 314 and f? 2 Suppose 4558 = 9*s + s + 33*s. What is the highest common divisor of 3074 and s? 106 Let s(i
{ "pile_set_name": "DM Mathematics" }
- 175 Let a(r) = -15*r**3 + 122*r**2 - 110. Let d(f) = -5*f**3 + 43*f**2 - 37. Calculate -6*a(m) + 17*d(m). 5*m**3 - m**2 + 31 Suppose 18*o = -193 + 31. Let g(s) = -18*s - 160. Let i be g(o). Let c(k) = 10*k - 10. Let z = 15 - 37. Let p(l) = l - 1. Determine i*c(n) + z*p(n). -2*n + 2 Let c(w) = 1. Let o(d) = 2*d**2 + 2*d - 10. Suppose -5*p - 2*h - 1 = 0, 19*p - 20*p = -4*h - 13. Determine p*o(l) - 5*c(l). 2*l**2 + 2*l - 15 Let z(q) = q + 18. Let n(p) = 11131*p + 71. Calculate -n(h) + 4*z(h). -11127*h + 1 Let u(a) = 20855*a - 12. Let o(h) = -41681*h + 26. What is 6*o(n) + 13*u(n)? 21029*n Let v(g) = 14*g + 7. Let c be 12/2 + -10 + (-99)/(-11). Let h(t) = -9*t - 5. Determine c*v(m) + 7*h(m). 7*m Let k be 27/18 + (-2)/4. Let u(d) be the third derivative of d**3/6 - 66*d**2. Let j(o) = -2*o + 3*o + 18*o**3 - 20*o**3 - 1. Determine k*j(f) + 4*u(f). -2*f**3 + f + 3 Let w(m) = 10*m - 742. Let h(v) = 7*v - 524. Let t(g) = 17*h(g) - 12*w(g). Let f(y) be the first derivative of -3*y**2/2 - 15*y + 2. What is 4*f(x) - 15*t(x)? 3*x Let p(l) = 9*l**3 - 47*l**2 - 30*l + 13. Let b(j) = -3*j**3 + 14*j**2 + 10*j - 4. What is 7*b(h) + 2*p(h)? -3*h**3 + 4*h**2 + 10*h - 2 Let o(x) = 3*x + 1. Let l be -6*2/(-1)*(0 - 18). Let f be (6 - -1)*l/252. Let d(j) = 6*j + 2. What is f*d(h) + 11*o(h)? -3*h - 1 Let i(r) = -r**3 + 9*r**2 - r + 27. Let o(f) = -2*f**3 + 12*f**2 - f + 27. Determine -4*i(n) + 3*o(n). -2*n**3 + n - 27 Let k(w) = 11*w + 4. Let c(r) = -32*r - 44. Let i(j) = 25*j + 36. Let z(q) = 5*c(q) + 6*i(q). Determine 2*k(f) + 3*z(f). -8*f - 4 Let j(g) = -1. Let k(c) be the third derivative of c**4/3 + c**3/3 + c**2 + 5. Suppose -s = 5*b - 18 - 0, -4*s = 5*b - 12. What is s*j(p) - k(p)? -8*p Let m = 209 + -138. Let a = m + -73. Let h(b) = -b**2 + 4. Let v(o) = -8 + 8 + 10*o**2 - 9*o**2. Give a*v(w) - h(w). -w**2 - 4 Suppose 3*q = -2*b + 24, -q + 2*q - 3*b = 8. Let t(u) = 1222*u + q - 603*u - 613*u. Let j(y) = -5*y - 7. What is -5*j(h) - 4*t(h)? h + 3 Let v(r) = -6*r + 3. Let g(i) = -6*i + 5. Let d(l) = -4*g(l) + 5*v(l). Let n = -1 - 4. Let x(k) = -1 + 0 + 6 - 2 + 3*k. Give n*x(h) - 3*d(h). 3*h Suppose 13*u + 30 = 19*u. Let t(n) = u + 0 - 3*n**2 + 2*n**2 - n**2 + 0*n**2 + 5*n. Let i(v) = v**2 - 3*v - 3. Calculate -5*i(w) - 3*t(w). w**2 Suppose 4*y - 20 = 4*i, 2*y - 5*y = -12. Let x = 1272 - 1269. Let l(r) = -r**2 + r - 1. Let z(a) = -2*a**3 - 4*a**2 + 3*a - 1. What is i*z(j) + x*l(j)? 2*j**3 + j**2 - 2 Let j(w) = -w**2 + 4*w + 4. Suppose 0 = -24*u - 11158 + 4078. Let z = u + 300. Let r(s) = 3*s**2 - 8*s - 9. Determine z*j(x) + 2*r(x). x**2 + 4*x + 2 Let g(z) = 1125*z - 10. Let s(a) = -2251*a + 22. What is -13*g(p) - 6*s(p)? -1119*p - 2 Let f = -1167 + 1161. Let l = 18 + -31. Let k(t) = 11. Let p(u) = -24. Let z(c) = f*p(c) + l*k(c). Let r(o) = 3*o + 2. Determine r(n) - 2*z(n). 3*n Suppose 0*o + 18 = -3*o. Let w(g) be the third derivative of -g**4/24 - 7*g**3/6 - g**2. Let y(k) = -8 - 4*k - 13*k + 16*k. Give o*w(c) + 5*y(c). c + 2 Let z(i) = -11*i**2 + i + 5. Let b = -3825 + 3817. Let y(n) = 17*n**2 - 2*n - 8. Calculate b*z(h) - 5*y(h). 3*h**2 + 2*h Let a(i) = 2*i**3 + 6*i**2 - 1. Let n(x) = -47*x**3 - 12*x**2 - 9*x + 2. Determine 2*a(o) + n(o). -43*o**3 - 9*o Let x(v) = 189*v**2 + 2*v + 777. Let d(b) = 120*b**2 + b + 518. Calculate -11*d(m) + 7*x(m). 3*m**2 + 3*m - 259 Let y(q) = 2*q**3 - q. Let w(z) = -37*z**3 + 5*z. Calculate -w(t) + 6*y(t). 49*t**3 - 11*t Let c(d) = d**2 + d - 1. Let q(l) = 6*l**2 + 3*l - 4. Suppose 7*s - 11*s = 4. Calculate s*q(o) + 3*c(o). -3*o**2 + 1 Let c(f) = f - 4. Let n(u) = -652*u + 8. What is -4*c(h) - n(h)? 648*h + 8 Let l(h) = 3. Let j(a) = a - 8. Suppose 8*g - 55*g + 94 = 0. Determine g*j(o) + 7*l(o). 2*o + 5 Let q(n) = 73*n**2 + 50*n. Let d(k) = 18*k**2 + 10*k. Determine -11*d(h) + 2*q(h). -52*h**2 - 10*h Let c(y) = -y + 1. Let g(l) = -l. Suppose 3*u = -3*h - 15, -6 - 25 = 5*u - h. Determine u*c(j) + 2*g(j). 4*j - 6 Let y(z) = 19*z**3 + 11*z. Suppose 2 = 5*j - 58. Suppose 4*q - 208 = -j*q. Let h(t) = -9*t**3 - 5*t. Let u = -7 - -13. What is q*h(l) + u*y(l)? -3*l**3 + l Let u(f) be the first derivative of -3*f**2/2 - 7*f + 1. Suppose -h - 3 = 0, 0 = -5*b + 10*b - 3*h - 24. Let y(g) = -2*g - 4. Calculate b*u(k) - 5*y(k). k - 1 Let l(n) = n**2 - 2. Let v(j) = 2*j**3 + 4*j - 30. Let t(g) = 4*l(g) - v(g). Let q(a) = -5*a**3 + 9*a**2 - 9*a + 44. Give 4*q(p) - 9*t(p). -2*p**3 - 22 Let p(y) = -3*y**2 - 2*y**2 - 3 - 11*y**2 - 2*y**2 + 30*y**2. Let x(g) = -12*g**2 + 4. Give 3*p(m) + 2*x(m). 12*m**2 - 1 Let f(t) = -36*t**2 - 5*t**2 + 15 + 6*t**2. Let x(v) = 5*v**2 - 2. Suppose 21 + 9 = 15*k. Suppose 0 = 3*d - 3*a, -k*a - 3*a = -10. Calculate d*f(m) + 15*x(m). 5*m**2 Let p(u) = -u**2 - u. Let c = -529 + 534. Let i(n) = -4*n**2 - 5*n. Determine c*p(y) - i(y). -y**2 Let x(n) be the third derivative of n**5/60 + n**3/6 + n**2. Let q(y) = -329702 + 10*y**2 + 329708 - 2*y**2. Give q(s) - 6*x(s). 2*s**2 Let x(s) = -1. Let g(h) be the second derivative of h**3/6 - h**2 - 19*h + 23. Determine -g(j) + x(j). -j + 1 Let d(v) = -4*v - 9. Suppose -4*j + 4*i + 13 = i, 3*j + i = 13. Let x be (j + (-133)/28)*-4. Let q(t) = -2*t - 4. What is x*d(z) - 7*q(z)? 2*z + 1 Let i(f) = 19*f + 636. Let p(q) = -4*q - 2. Give i(j) + 5*p(j). -j + 626 Let z(l) = 11237*l. Let w(r) = -22511*r. Give 3*w(u) + 5*z(u). -11348*u Let i(t) = t**3 - 1. Let q = -111 - -116. Suppose -q*h - 8 = -2*o, -h = -2*o + h + 2. Let l(j) = -2. Determine o*l(b) + 2*i(b). 2*b**3 Let x(w) = 10*w - 109. Let a(i) = 39*i - 400. Let k(n) = -6*a(n) + 22*x(n). Let g(q) = -14*q + 2. Determine -2*g(f) + 3*k(f). -14*f + 2 Let f(q) = -42212*q. Let h(w) = -28107*w. Give -7*f(c) + 10*h(c). 14414*c Let b(c) = -19*c**2 - 4*c. Let j(z) = -96*z**2 - 21*z. Let i(o) = o**2 - 125*o + 3898. Let h be i(59). Determine h*j(f) - 21*b(f). 15*f**2 Let m(b) = -37*b + 92*b - 2*b**2 - 51*b - 3. Let v(h) = 5*h**3 - 4*h**2 - h + 1. Let q be v(-1). Let i(g) = 5*g**2 - 9*g + 7. What is q*m(s) - 3*i(s)? -s**2 - s Let s(b) = -b**3 + 8*b**2 + 23*b - 34. Let t = -19 + 29. Let q be s(t). Let l(z) = -3*z + 11. Let a(x) = x - 5. Determine q*l(g) - 9*a(g). 3*g + 1 Let k(l) = -612*l**2 - 621*l**2 + 19 - 625*l**2 - 610*l**2 + 2487*l**2. Let d(s) = 1. Calculate 19*d(z) - k(z). -19*z**2 Let b(m) = -1. Let d = 9 - 6. Let k(o) be the third derivative of -1 - 60*o**2 + 0*o + 1/24*o**4 - 1/6*o**3. Determine d*b(i) - 2*k(i). -2*i - 1 Let l(h) = 8749*h - 11. Let o(j) = -18*j + 1. Calculate l(p) + 11*o(p). 8551*p Let w(a) be the second derivative of 7*a**4/12 + 3*a**2/2 - 12*a + 95. Let g(v) = -15*v**2 - 7. Suppose 2*d = 10, y - 19 = -3*d - 1. What is y*g(s) + 7*w(s)? 4*s**2 Let i be (9 - 22/2)/((-6)/(-15)). Let w(n) = -n**3 + 2*n**2 + 33*n - 2. Let h(o) = 3*o**3 - 5*o**2 - 65*o + 4. Calculate i*w(a) - 2*h(a). -a**3 - 35*a + 2 Let c(a) = a + 25. Suppose -1821*i - 144 = -1845*i. Let y(k) = 1. What is i*y(f) + c(f)? f + 31 Let w(n) = -3*n**2 + 6*n. Suppose 4*a + 4 = -4. Let s(h) = -h**2 - h. Let r = 261543 - 261542. Calculate a*s(f) + r*w(f). -f**2 + 8*f Let x(p) = p**2 + 6*p. Let j(a) = 2*a**2 + 1. Let s be j(1). Suppose 5*o - 7472 = -4*r, 9417 = 3*r + s*o + 3813. Let z(w) = 1868 - r + w. What is x(i) - 6*z(i)? i**2 Let z(q) = 15*q**3 + 5*q**2 - 5*q + 3. Let a(w) = -74*w**3 - 26*w**2 + 26*w - 16. Determine -3*a(x) - 16*z(x). -18*x**3 - 2*x**2 + 2*x Let q(l) = l**3 + 12*l**2 - 14*l - 2. Let s(f) = f**3 + 14*f**2 - 14*f - 2. What is 6*q(j) - 5*s(j)? j**3 + 2*j**2 - 14*j - 2 Let u(b) = -51*b - 4669. Let k(w) = -4*w. What is 13*k(q) - u(q)? -q + 4669 Let n(j) = 2*j**3 - 12*j**2 - 7*j - 1. Let l(a) = -3*a**3 + 25*a**2 + 13*a + 2. Calculate 4*l(g) + 7*n(g). 2*g**3 + 16*g**2 + 3*g + 1 Let u(g) = -3*g - 7. Let o(x) = -122*x. Let f(c) = 35*c. Let a(d) = 7*f(d) + 2*o(d). Determine 4*a(v) + u(v). v - 7 Suppose -13*c + 8312 = 2085. Let k = -485 + c. Let i(r) = 6*r - 6. Let s(q) be the third derivative of 7*q**4/24 - 7*q**3/6 - 2*q**2. Give k*i(h) + 5*s(h). -h + 1 Let r(k) = 7*k**2 - 6*k + 7. Let j be (-3849)/7 - 17/119. Let f = j - -545. Let q(y) = -7*y**2 + 5*y - 6. Give f*r(a) - 6*q(a). 7*a**2 + 1 Let w(i) = 661*i**2 - 41*i - 5. Let c(o) = 331*o**2 - 16*o - 2. Give 5*c(j) - 2*w(j). 333*j**2 + 2*j Let h(j) = 14 - 22*j - 9*j - 5 + 48*j - 8 - 18*j. Suppose 1 -
{ "pile_set_name": "DM Mathematics" }
. Solve p = -9*s + 64 for s. 4 Let b = -1448 + 1703. Solve -249 + b = -6*s for s. -1 Let y = 6466 + -6454. Solve -y*n - 78 = n for n. -6 Let a(y) = y**3 + 12*y**2 - y + 45. Let r be a(-12). Solve r*v = 56*v - 4 for v. -4 Let c be (-2)/11 - (7 + 326/22). Let d = 23 + c. Solve -4 = -5*w + d for w. 1 Let v = 21879 - 21787. Solve 6*j + v - 98 = 0 for j. 1 Suppose 16*i - 27 - 101 = 0. Let r = 20 + -17. Solve i*o + 5 = r*o for o. -1 Let v(t) = 2*t - 8. Let a be v(0). Let g be a/(-10)*(-35)/(-14). Suppose 6 = -3*j - 4*m, 2*m + g = -j - j. Solve -y = -j*y + 3 for y. 3 Let d be (8/(-20))/((-4)/(-200)*-2). Let x be 4*(18/4 - (7 - d)). Solve -11*l + 5*l + x = 0 for l. 5 Let s = -13229 - -13353. Solve 46*w = 15*w - s for w. -4 Suppose -2*c - 4*i - 754 = -0*i, -5*c = 3*i + 1871. Let o = -368 - c. Solve 0 = 3*h - 14 + o for h. 3 Suppose -2*a = -3*a + 144. Suppose 2*c = -2*x + 270, 127*c - 128*c + 5*x = -99. Let l = a - c. Solve 3*s = -3 + l for s. 4 Let x(y) = -3*y**3 + 65*y**2 + 250*y + 4. Let j be x(25). Solve -705 = j*n - 689 for n. -4 Let d be (4 - 120/28)*((-99)/(-11) + -16). Solve -46 + 34 = d*n for n. -6 Let a be 2/6 + 80/3. Solve -36*p - a = 297 for p. -9 Let y = 19 + -53. Let d be (-20 - -23)*-3*40/(-9). Let x = d + y. Solve 2*h = 4*h - x for h. 3 Let n = 302 - 295. Let j be 2/(-11) - (-210)/66. Solve n - j = -l for l. -4 Let x be 4712/310 - 36/(-20). Solve x*o - 20 = 22*o for o. -4 Suppose 0*f = 2*f - 4. Suppose -816*p = -811*p. Solve p = s - 4*s - f*s for s. 0 Suppose -108*q = -93*q - 105. Suppose q*i - 1 = 8*i, -23 = -2*z + 5*i. Solve -z*p + 28 = -16*p for p. -4 Let c(q) = -3*q + 4. Suppose 0 = -d - 34 + 40. Suppose -2*b - 6 = -d. Let w be c(b). Solve w*a = -a for a. 0 Suppose -87*n = -85*n + 108. Let r be (-55)/(-33)*n/(-15). Solve -10*j + r = -13*j for j. -2 Let c = -11731 - -11731. Solve c = -13*l - 26 - 13 for l. -3 Let o = 5122 + -5088. Solve 0 = 31*q - o*q + 15 for q. 5 Let c(z) be the third derivative of -z**5/30 - 13*z**4/24 + 19*z**3/6 + 199*z**2. Let y be c(-7). Solve y*l + 32 = -16 for l. -4 Let s be ((-756)/(-147))/((-12)/(-210)). Solve -14*d = -44*d + s for d. 3 Let o be 0*(-2 - ((-10)/(50/(-15)) - 6)). Solve o*g + 2*g = -2*g for g. 0 Let r(n) = -n**2 + 22*n - 18. Let a be r(21). Suppose -5*x + 12 = -a. Suppose 0 = -x*m + 3. Solve m = d - 4 for d. 5 Suppose -5*n + 5 = -2*a, -3 = 6*a - 8*a - 3*n. Solve -6*k - 29 + 35 = a for k. 1 Suppose -4*a = 3*s - 167, 100 = -4*a + 4*s + 232. Solve 17*i + 115 = -a for i. -9 Let l(y) = -152*y - 12 + 302*y - 149*y. Let i be l(16). Suppose j - 3*j + 4*t = -24, -3*t + 48 = i*j. Solve 4*r = r - j for r. -4 Let b be (-52 + 54 - (0 + 4))*1842/(-4). Solve b*c - 252 = 893*c for c. 9 Let t be (3/(217/(-35) + 7))/(2/8). Solve -12*b - t = -17*b for b. 3 Suppose -27*z = -33*z + 6. Let q be (7 + (-230)/30)*(-34 + z). Solve -2 = -4*g - q for g. -5 Let w = 106 - 216. Let h = w - -166. Let q be 1/3 + h/12 + -5. Solve q*t = 3*t for t. 0 Let l(i) = i**3 - 5*i**2 - 5*i - 1. Let j be l(6). Let n(a) = -3*a + 3. Let k be n(-11). Let y be (-16)/k*(180/8)/(-5). Solve j = p - y*p for p. -5 Suppose -4*f + 40 + 120 = 0. Solve 8*m = 18*m + f for m. -4 Suppose 0 = -4*g + 4*s - 21 + 69, 0 = 2*g + 2*s. Solve 208 - 214 = g*o for o. -1 Let v(m) = -15 + 6*m - 12 + 2. Let c be v(5). Let k be (c/(-2))/(10/(-8)). Solve 0 = 3*h - k*h for h. 0 Suppose a = -5*c + 1476, 1538*c - 1533*c - a - 1484 = 0. Solve 5*l - 316 = -c for l. 4 Let l(t) = -6*t**2 + 109*t - 4. Let k be l(18). Suppose f - k = -12. Solve -g - 4 = -f*g for g. 4 Let b(l) = 14*l**2 + l - 1. Let k be b(1). Let n(d) = -129*d - 11. Let g(r) = 47*r + 3. Let v(t) = 11*g(t) + 4*n(t). Let h be v(k). Solve h*f + 16 = -f for f. -4 Suppose 3*g - 130 + 118 = 0. Suppose g*q + 9 = l + 2*q, -5*q + 15 = 0. Solve -2*w = 5 - l for w. 5 Let o be 14/(-63) - (0 + (-2845)/45 + 2). Solve 10*m - 11 = -o for m. -5 Suppose 37*k + 20*k = 18696. Solve 0 = -4*v + 340 - k for v. 3 Suppose 275*c = 249*c + 52. Solve c*v = 5*v - 12 for v. 4 Suppose 4*g + 5 = -3*m, -3*g - 5 = -4*m + 5. Let j be (2*(3 + g))/2. Suppose -3*y + 6 = -k - 9, 5*y - 2*k - 26 = 0. Solve -5*c - j - y = 0 for c. -1 Suppose 0 = 2*t + 2, 90*o - 2*t = 86*o + 170. Solve 6 - o = 9*h for h. -4 Suppose 0 = 5*h + 13 - 48. Suppose 96 = 5*y - 2*k, 2*y - 4*k = y + 12. Suppose h*r - y = 3*r. Solve -5*p + r - 15 = 0 for p. -2 Let c = -19 + 77. Let p = c - 46. Let v(x) = x**2 - 13*x + 15. Let q be v(p). Solve q*j = 2 + 1 for j. 1 Suppose -1115*b + 1099*b + 3744 = 0. Solve b = -4*g + 43*g for g. 6 Let z = -23257 + 23439. Solve -121*o = -95*o + z for o. -7 Let x(z) = z**2 + 12*z + 33. Let y be x(-17). Let r = y - 116. Solve -n = -3*n - r for n. -1 Suppose 2*i - u + 13 = 2*u, -3*u + 19 = 4*i. Let s be 11 - (-11)/((-4)/4). Solve s = -q + i for q. 1 Suppose 115 + 205 = 8*h. Let t = h - 45. Let o be -5 + (t - -10) + 5. Solve -o*c = -7*c - 6 for c. -3 Let c(o) be the third derivative of -o**5/60 - 3*o**4/4 + 8*o**3 - 185*o**2. Let f be c(-20). Solve f*d = 1 - 9 for d. -1 Let a(b) = b**2 - 2*b + 5. Let c be a(4). Let w(k) = k - 4. Let r be w(c). Suppose o - r = -4*o + j, -2*o + 9 = 5*j. Solve -3*m = -o - 1 for m. 1 Let o be 75*11*16/528. Solve 0 = 3*a - o*a - 88 for a. -4 Let g(v) = 36*v + 36 - 2*v**3 + 200*v**2 - 186*v**2 + 3*v**3. Let u be g(-11). Solve -10 + u = -7*n for n. 1 Let j(s) = s**3 - 10*s**2 + 2*s - 29. Let a be j(10). Let n = -4 - a. Solve w - n*w = 4 for w. -1 Let h(k) = -15*k**2 + 1677*k + 336. Let p be h(112). Solve 109*o - 59*o - 200 = p for o. 4 Let q be 7/49 + (-204)/7. Let z(r) = -4*r**3 - r**2 - 2*r + 3. Let f be z(2). Let t = q - f. Solve 0 = -7*c + t*c + 1 for c. -1 Suppose -b + 4*y - 5 = 0, 0*b + 4 = -3*b + y. Let q(z) = -2*z**3 + z**2 + z. Let n be q(b). Solve 0*w = 2*w + n for w. -1 Suppose 290 = 2*c + 8*c. Suppose d - 33 = -c. Suppose 13 = 2*y + 5*u + d, 2*y = 2*u + 2. Solve y*h - 9 = -h for h. 3 Let r(c) = -c**3 - 6*c**2 + 43*c + 6. Let f be r(-8). Let u = 210 + f. Solve u*i - 5*i + 25 = 0 for i. 5 Let g be (4 - (-45 + 5))*(-28)/16. Let m = g + 91. Solve 0 = -4*p - 3*p + m for p. 2 Suppose -3*d - 97 - 81 = -4*q, 3*d = -3*q + 165. Solve q*o - 65*o = 48 for o. -3 Let k(g) = g**3 + 11*g**2 + 8*g - 18. Let z be k(-10). Suppose n = -2*y - 56, -2*n + z*y - 112 = 5*y. Let a = -54 - n. Solve 14 - a = -4*w for w. -3 Suppose 58*b - 45*b - 39 = 0. Solve -5 - 10 = -b*l for l. 5 Let f(n) = -3*n - 39. Let z be f(-20). Let t = z + -17. Let w be 6*((-8)/(-6) + -1). Solve -14 = -t*y + w for y. 4 Let a = -216 - -279. Solve 0 = -8*c + 7 - a for c. -7 Suppose 4*q + 11 = -9, -5*q - 65 = 4*l. Let m = -11414 + 11404. Let b be (l/m)/((-3)/6*-1). Solve 3 + 3 = b*k for k. 3 Suppose 5*q + 24 = -6. Let k be (q/9)/(5/(-60)). Let x be (-4 - 1)*(1 + -2). Solve 0 = -x*m - k - 2 for m. -2 Let y(v) = 6*v**2 + 2*v + 2 - v**3 - 6*v + 0*v**2 - 3. Let k be y(5). Let s be (-34)/(-51) + k/3. Solve l = s*l for l. 0 Suppose -2*j = -2*y + 12, -35*y + 42 = -28*y - 3*j. Solve -y*h = 9*h for h. 0 Suppose 0 = 4*j - 8, -10 - 130 = -3*q + 5*j. Let f(a) = -12*a. Let y be f(4). Let c = q + y. Solve 2*d - c = 4 for d. 3 Let y = -9 + 20. Suppose 0 = -y*i + 13*i. Suppose -13*u + 46 = 20. Solve u = w - i*w for w. 2 Let x = -17 - -17. Suppose 0 = y + 3*y - 3*c + 9, x = -c + 3. Let w be 9 - 6 - (y + 1). Solve 2 = -0*v + w*v for v. 1 Let p(i) = 30*i - 44. Let k be p(2). Let s be 2*-2*(1 + (-36)/k). Solve s*y - 7*y - 4 = 0 for y. -2 Let x(k) = -27*k**2 - 13*k + 6. Let n(v) = -14*v**2 - 6*v + 3. Let g(w) = -9*n(w) + 4*x(w). Let q be g(-3). Let i be (-34)/q + 65/9. Solve i = -4*y - 5 for y. -3 Suppose 0 = 4*h + 28, -2*g + 4*h - 427 + 565 = 0. Solve -9*l = -g*l - 46 for l. -1 Let h be 3 + 0 + 20 - (4 - 2). Suppose 35 = 58*c - 51*c. Solve c*i = -31 + h for i. -2 Let n = 26014 + -25933. Solve n*f - 21*f = 0 for f. 0 Let l = -103 + 135. Suppose -2*s = 4*k - 64, -5*s + k + l + 106 = 0. Solve -m + s = 6*m for m. 4 Let w be (-3 + 0)/((-4)/(8/3)). Let g be -8 - (-10 + w + 4). Let l be g*(-2)/28*(2 + 5). Solve -h = -l*h for h. 0 Let n be 221/11 - (6 - 2)/44. Let x be ((-32)/n)/(-2)*5. Solve x*y + 4 = 3*y for y. -4 Suppose -13*x - 19*x = -22*x. Suppose -3*t = -7*t + 4. Suppose -5*d = -3*a + t, -3*d + x = -3. Solve -k - k = -a for k. 1 Let g = -1126 - -1144. Solve -104*j = -86*j - g for j. 1 L
{ "pile_set_name": "DM Mathematics" }