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r be (2 - 161/70)*-10. Solve b - 16 + 18 = v, -r*b = 6 for v. 0 Suppose 0 = 4*y - 3*m - 15 + 6, 4*y = 5*m + 7. Solve f = a - 1, -3*a + y = 3*f + f for f. 0 Suppose -4*m = -3*k + 155, -134 = -4*k - 2*m - 30. Let j be 2/((-4)/30*-3). Solve 3*b = -2*y + 7*y + j, 5*b - k = -4*y for b. 5 Let g be 24 - -2 - (-6)/3. Let p = 585 - 600. Let n = g + p. Solve -4*u + n = -j, -5*u - 5*j + 3*j = -13 for u. 3 Let x = -2282 - -2284. Solve 4*c + 3*g = 6, 3*c - g - x = -4 for c. 0 Let o(u) = -3*u**2 - 16*u + 26. Let v be o(-6). Solve 0 = 4*f - 5*z - 16, 3*f = -3*z - 1 - v for f. -1 Let d(k) = k - 3. Let v be d(10). Suppose 3*s - 4*q + 0 = 1, 5*q = s + v. Let g be s - 2 - (3 + -2). Solve -n + 2*x + 0*x - 9 = g, -n - x + 6 = 0 for n. 1 Let q be 4 + 40/5*(-13)/26. Solve 4*r + v - 3 = q, -20*r + 18*r + 6 = -4*v for r. 1 Suppose 4*o - 24 = 2*q, 4*q = 2*o + 8 - 32. Solve -2*p + 2*k = -4, -5*p + 5 = -o*p - 4*k for p. 1 Suppose 39 = 3*f - 6*m + m, -2*m + 42 = 2*f. Suppose -4*t + 6 = p, 6*p - t = p + 9. Solve -5*d - f = 3*w, d - 5*w - p = -0*d for d. -3 Let f(m) = 2*m**3 - 11*m**2 + 2*m + 3. Let a = -23 - -28. Let t be f(a). Let r = t - -24. Solve i = 3*o + r, i - o = -i + 9 for i. 3 Let h(o) = -12*o + 2 + 12*o**2 + 25*o - 13*o**2 - 16*o. Let c = 8 - 11. Let w be h(c). Solve 5 = -4*t - 3*j, -w*j - 3 = -t - 7 for t. -2 Let w be ((-64)/(-40))/((-2)/(-45)). Let a = 101 - w. Let m be 1/(a/15 + -4). Solve -2*u + m*l = 2, 6*u + 2*l + 20 = 2*u for u. -4 Let x = 4390 - 4386. Solve -x*q - 4 = -5*m, -5*m - 6*q + 2*q = -36 for m. 4 Suppose 0 = j - 5*x - 25, -47*j + 2*x = -50*j - 10. Solve j = -t + 5, 0*a - 4*a + 27 = 3*t for a. 3 Let c be 43/(-10 - -19 - 10). Let k be (0 - -2 - 10)*-6. Let q = c + k. Solve -15 = -q*b, -4*h - 4 = -b - 3*b for h. 2 Suppose -h - 17 = -5*t, -t + 3*h - 5 = -14. Solve -n = -v - 4*n - 11, 3*n + 15 = t*v for v. 1 Let d = 2572 - 2547. Solve d = 5*v - 3*f, -15*v - 5*f = -13*v + 21 for v. 2 Let y(b) = 5*b + 3*b**2 + 11 - 4*b**2 + 2 + 4. Let s(p) = 4*p - 21. Let m be s(7). Let n be y(m). Solve 5*f = -2*k + 25, 0*k = n*k + 2*f - 21 for k. 5 Let i(v) be the third derivative of -13*v**5/30 - 6*v**2. Let o be i(-1). Let p be ((-8)/(-6))/(5 + o/6). Solve -5 = 2*s - 3, -p*l - 4*s - 14 = 0 for l. -5 Let p be 49/7 + -8 + 5. Solve -4*n + 15*x + 13 = 20*x, p*n + 32 = 4*x for n. -3 Suppose -h - 21 = -3*m - 0, -52 = -4*m + 4*h. Let w = 21 + -11. Solve -3*b - 15 = 0, -3*b + 5*b - w = -m*x for x. 5 Let b(x) be the third derivative of -x**4/24 + 17*x**3/3 - 14*x**2. Let g be b(12). Solve -2*m = 5*n + g, 5*n + 3*m + 0 = -23 for n. -4 Let m(l) = -l**3 - 15*l**2 - 18*l - 25. Let g be m(-14). Let v = g - 12. Solve -4*j - 6*b + 31 = -b, -5*b + v = j for j. 4 Let h = -12446 - -12459. Solve 0 = -3*f + 12, -3*k + 27*f - h = 26*f for k. -3 Let n(p) = p - 14. Suppose -3*z = -42 - 18. Let y be n(z). Suppose -y*h = -10*h + 28. Solve -5*t - c + 8 = 0, -h*c + 8 = -4*t - 3*c for t. 1 Let l be (-5 + 3 - 82)/((-60)/40). Let h be 0/(l/8 - 4). Solve -4*j + 5*z - 4 - 5 = h, 3*z = -2*j + 1 for j. -1 Let s be ((-84)/6)/((-3)/3). Suppose 3*l - s = 16. Solve -2*d - 3*z = -z, l = 4*d - z for d. 2 Let i be (-81)/5*-1 + 8/10. Suppose 15*a - i*a + 4 = 0. Solve 5*x = x + 5*r + 10, -5*x - 4 = a*r for x. 0 Let p = 82 - 79. Let q = 35 - 27. Suppose z = p*z - q. Solve 4*u = 5*t + 25, 3*u - z*t = 8*u + 20 for u. 0 Suppose -b - 12 = -4*u, 188*b - 192*b - 2*u + 24 = 0. Solve 3*c - 2*c - b*x + 1 = 0, 0 = 5*c + x + 5 for c. -1 Let t be 8 - 1/1 - (3 - 0). Suppose -3*u + 5*u = -t*l + 12, l - 5*u + 19 = 0. Let y be l/(-5)*3 + (-3)/(-5). Solve y = 5*r + f + 4*f, 2*r + f = 5 for r. 5 Let f(a) = -9*a**3 - a**2 - a - 1. Let b be f(-1). Suppose 0 = 76*c - 21*c - 165. Solve -b = c*v - 5*v + m, m + 4 = 0 for v. 2 Suppose -12*l = -5*l + 7*l. Solve -4*o - 5*n + 22 = l, 5*n = 11 - 1 for o. 3 Let l = 3 - 1. Let b be (16 - 6 - 10)/1. Solve 2*q - t - l = -5*t, q - 3*t - 6 = b for q. 3 Suppose 284*c - 2 = -4*n + 287*c, 0 = -5*n + 3*c + 4. Solve 4 = -l - 2*m, -3*m + n*m - 1 = 0 for l. -2 Suppose 6*l = a + 14, 79*l = 81*l - 3*a + 6. Solve -l*n + 24*g - 23*g = 0, -4*g + 34 = 5*n for n. 2 Let q be (1/18)/(336/4536)*(0 + 20). Solve 3*g - q = 0, 16*g = m + 15*g for m. 5 Let a(k) = k**3 + 16*k**2 - 18*k - 625. Let u be a(-14). Solve 4*t - 28 = -19*p + 15*p, 5*p = 4*t - u for p. 1 Let s(r) = -r**2 + 7*r - 6. Let h be s(7). Let u(j) = j + 5. Let q be u(-4). Let f be 4/10 + h/15*q. Solve 5*x = -3*z - 22, f = -4*x - 2*z + 4*z for x. -2 Let l(m) = -6*m**3 - m**2 - 3*m - 3. Let a be l(-1). Solve 0 = -4*d + 4*o - 24, 0 = 3*d - a*o + 4 + 18 for d. -4 Let y(q) = -q**2 - 36*q - 322. Let l be y(-18). Suppose 0 = -5*n - 5 + 20. Let b be -5*n*(-4)/15. Solve -i + b*p = l*p - 3, 0 = 3*i + 4*p - 9 for i. 3 Let p = 38209 + -38197. Solve 3*b + 3*m = -9, 9*b - m + p = 7*b for b. -5 Let j be 1 - 33/(-7) - (-28)/98. Let i(r) = -2*r**2 + 17*r - 28. Let z be i(j). Solve 0 = -2*v + z*x - 5*x, 0 = 4*v + 2*x for v. 0 Let n(y) = -y - 11. Let r be n(-20). Let x be (r/6)/((-1)/(-12)). Suppose -3*c = -x + 9. Solve 5 = 5*o + 5*f, c*f = o + 20 - 1 for o. -4 Suppose -v - 98 = -3*z, 3*v = 2*v + 2*z - 101. Let n = v + 112. Solve n*o = 2*p + 25, 0*p = 3*o - 2*p - 15 for o. 5 Suppose 5*g - 7*g - 2*j + 12 = 0, -5*g + 5*j = -10. Suppose 4*y - o - 13 = 0, 2*y - 28 + 4 = g*o. Solve 22 = -q - 2*c - 2*c, 0 = -y*q + 5*c + 21 for q. -2 Let s(u) = 3*u**2 - 60*u + 60. Let g(b) = -b**2 + 15*b - 15. Let p(t) = -15*g(t) - 4*s(t). Let v be p(-6). Solve 5*l + 3*n = 4*n - 3, -2*l = -v*n - 4 for l. -1 Suppose 21 + 1 = 23*w - 70. Solve -k - w*c = -11, 5*k + 4 = 3*k + 5*c for k. 3 Let o(b) = b**3 + 8*b**2 + 8*b + 7. Let z be o(-7). Suppose z = 4*y - d - 20, 7*y + 5*d = 4*y - 8. Solve -y*u + 16 = 3*l, 5*l - u + 4*u - 23 = 0 for l. 4 Let l(u) = 3*u**2 + 4*u. Let i be l(-2). Suppose -i*o - 39 = 3*b, 2*b + 2*o + 45 = -b. Let f = b + 38. Solve -t + 3*a - f = -2, -a + 5 = 0 for t. -4 Let h = 18 - 12. Suppose 0 = u - 2*l + h*l - 15, 21 = 2*u + 5*l. Let j = -356 - -363. Solve -3*d - 2*i + 8 = -j*d, -3 = -3*d - u*i for d. -1 Let g(y) = -y**2 - 287*y + 583. Let t be g(2). Let j be 114/22 + (-10)/55. Solve j*k + 5*q + t = 30, 3*q = -k + 5 for k. 5 Let p = -4211 - -4211. Solve p = -2*y + y - 3*r + 9, 3*y + 25 = 4*r for y. -3 Let w be (210/(-20) + 12)*3*2. Solve -3*p + w = 3*u, -3*u = -p - 0*p - 5 for u. 2 Suppose 5*h = 3*b - 1670 - 2980, -947 = h - 4*b. Let z = h - -929. Solve -2*n + z*g = 0, g = -2*n - 2*g - 10 for n. -2 Suppose 46 + 199 = 5*k. Let l(y) = -y**3 + 25*y**2 + 53*y - 21. Let w be l(27). Let t = k + w. Solve m - 2*g = -t + 8, 0 = 5*g + 5 for m. 5 Let k = -24 + 44. Suppose 91 = -2*y + 97. Suppose -16 = -3*l - 2*b, 0 = -y*l + 3*b + 3 + 3. Solve -l*u = -t - 3*t + 20, 3*t = -4*u - k for u. -5 Suppose -4*s - 4*c = -16, -2*c - 4 = s - 8. Solve 3*i + y - 8 = -s, 2*i - 11 = y for i. 3 Suppose 0 = -5*b - 25, -2*q = 3*b - 4 + 13. Let y be 3 + q/(18/12). Solve -4*r + r = -2*v + 1, 2*v + 23 = -y*r for r. -3 Let y = 48 + -55. Let w = -4 - y. Let d be (-1 - w/(-2)) + 11/2. Solve 4*k = 5*s + 29, 2*s + 3*k + 13 = d*k for s. -5 Let x = 34579 + -34576. Solve t = 25*i - 20*i + 1, 19 = -4*t - x*i for t. -4 Let c(d) = -d**2 - 6*d - 4. Suppose 3*k = 3*g + 9, 4*g + 2*k + 18 = 3*k. Let b be c(g). Suppose 47*h - 51*h + 20 = 0. Solve t = -2*t - i + 7, b = h*t - i for t. 1 Let i(z) = 11*z**2 + 37*z - 8. Let s be i(-7). Let h = -272 + s. Solve 5*w + 3*o + 5 = h, -1 + 12 = -4*w - o for w. -4 Let n be (-3)/(18/4)*(8745/22)/(-53). Solve 0 = 3*t - 12, n*t = 3*x + x + 28 for x. -2 Let h(v) = -59*v - 3. Let y be h(-1). Let f be -2 - 12/(-7) - (-296)/y. Let j(r) = -r + 13. Let i be j(9). Solve n = -4, -f*u + i*n = -5 - 21 for u. 2 Let v be -20*3*(-7)/42. Let y be -2 + 3/(15/v). Solve p + p = 2*l + 2, -p + 2 = y for l. 1 Suppose -2*i - 15 = -2*q + 1, -6 = 2*i + 3*q. Let b(f) = -3*f + 3. Let z be b(4). Let o be -5*-2*(2 - z/i). Solve 3*l = -4*t - 2*l - 15, -o*l + 10 = -t for t. -5 Let c be (-12)/21*105/(-30). Let v be 3/c - (-105)/30. Let a(f) = -f**2 - 7*f - 7. Let p be a(-5). Solve v = 5*d - t, 3*d = 7*d + p*t - 4 for d. 1 Let s(v) = 5*v**2 - 48*v - 75. Let b be s(11). Solve -b*q = 2*j + 2, -4*q = -3*j + 8*j for q. -5 Let i be (-5)/((-296)/16 + 16). Solve 3*s + 7 + 11 = -3*t, 3*t + 8 = i*s for s. -2 Let g(v) = -3*v**
{ "pile_set_name": "DM Mathematics" }
or t. -4 Solve -4*x - 48 = 2*h, -5*h = x - 11 + 23 for h. 0 Solve 294*j + r = 297*j, -3*j - 2*r - 9 = 0 for j. -1 Solve -40415*v + 40416*v + 5*q = 1, 5 = 5*v - 4*q for v. 1 Solve 15 = 5*h - 2*p, -176*p + 172*p = 4*h - 40 for h. 5 Solve -42*d - 24 = 65*b - 62*b, b + 1 = -d - 7 for d. 0 Solve -12*a + 8*a + 2*w = -18, -5*a - 4*w = -29 for a. 5 Solve 3*n = 5*u - 14, -6*n + 109 - 97 = 0 for u. 4 Solve -17562*w - 3*h + 22 = -17563*w, -5*w - 22 = -5*h + 8 for w. 2 Solve 0 = -t - 3*n + 13, 99190*t - 5*n = 99186*t - 16 for t. 1 Solve 12913*c + 3 = 12911*c + x, 3*x = c + 9 for c. 0 Solve -6*p + 2*g - 2 = 0, 2*g - 55 = -3*p - 62 for p. -1 Solve 3*w = -5*k + 76 - 94, -3*k - 13 = 4*w for k. -3 Solve 4*y + 574*t - 572*t + 8 = 0, -9 = 5*y + 3*t for y. -3 Solve 11 = -r + 76*f - 75*f, -88*f + 470 = -5*r for r. -6 Solve -i = 3*v + 7, 2*v + 13 = 10*i + 19 for i. -1 Solve -f - 7 = -4*p, 3*f - 14 = -3*p + 25 for f. 9 Solve -23*h = 3*g - 3, 3*g - 15 + 5 + 7 = 5*h for h. 0 Solve -2031*v = -2026*v + 5*c - 20, 46*v = -5*c + 61 for v. 1 Solve -t - 3*u - 2*u + 4*u - 2 = 0, 3*t + 7*u = -18 for t. 1 Solve 0 = -3*r - 5*t + 10, -97*r = -99*r + 2*t - 4 for r. 0 Solve 4*q = m + 12 + 1, -2*m - 5*q = -13 for m. -1 Solve 13*l = 2*p + 76, 3*p - 249*l + 254*l = 33 for p. 1 Solve -3*f + 8 = -5*z, 3*z + 40 = -5*f + 8 for f. -4 Solve -19311*a + 19309*a + 4 = -4*t, -3*t = -2*a + 1 for a. -4 Solve -4*b = 9859*q - 9854*q - 52, -q - 3*b + 50 = 0 for q. -4 Solve -4*t - 28 = -4*b, 17*t - 3*b - 9 = 24*t for t. -3 Solve 0 = -3*m - 4*j - 26, -10*m + 109*j - 108*j - 15 = 0 for m. -2 Solve 7254*h - 5*b + 5 = 7256*h, -2*h = -4*b + 22 for h. -5 Solve 0 = -4*c - 2*m - 20, 0 = -59*c + 54*c + 6*m + 94 for c. 2 Solve -15 = 61*y - 58*y - 5*j, -4*j = -12 for y. 0 Solve -493 = -6*y - 2*d - 511, 2*y + 3*d + 20 = 0 for y. -1 Solve 34*n - 29*n + 26 = -2*s, -22 = 4*n + 2*s for n. -4 Solve 75 = -3*d - 12*q + 66, -2*d = 5*q + 3 for d. 1 Solve -6*k - 52 = -8*k + 5*h, -4*k - 18*h - 232 = 0 for k. -4 Solve -3*w = -j + 2, -188*j - 25 = -w - 184*j for w. -3 Solve 2333*j - 1 = -4*m + 2330*j, 3*j - 9 = 0 for m. -2 Solve -5*k + 35 = x + 4*x, 2*x + 10 = k for k. 8 Solve -5*j = 10*d - 3*j - 62, -5*d - 2*j + 27 = 0 for d. 7 Solve 0 = -w + 5*v - 17, 21*w - 2*v - 31 = 26*w for w. -7 Solve -207*y = -209*y - 2*u, 3*y + 4*u = -2 for y. 2 Solve -4 = -4*j - 2*x, 28*j - 29*j = x - 3 for j. -1 Solve 0 = -5*l - 4*w - 29, 99*l - 97*l + 7 = 3*w for l. -5 Solve c + 6 = q, -3*q - 80*c + 73*c = 32 for q. 1 Solve 5*m + 110 = 4*n + 135, 2*n + 30 = 6*m for n. 0 Solve 5*t + 5*i - 15 = 0, 4*t = 5*i - 21 + 51 for t. 5 Solve 4*p - 188*n = -187*n - 18, -4*n = -2*p - 44 for p. -2 Solve -3*h - 12 = 0, 0 = 80*d - 82*d + h + 16 for d. 6 Solve 3*i - 12 = -3*v, 668*v - 16 = 3*i + 667*v for i. -3 Solve 5*v + 2*j - j - 34 = 0, -v + 0*j + 50 = 5*j for v. 5 Solve 3*b - 29 = 4*z, 0 = -3*z - b + 126 - 151 for z. -8 Solve -2*g - 316*l + 16 = -312*l, 3*g + 16 = 4*l for g. 0 Solve 104*g = -3*q + 103*g - 15, 2*g = -3*q - 15 for q. -5 Solve 3*f + n = -2*n - 18, -22*f + 24 = -24*f - 5*n for f. -2 Solve 4*o - 13 = 90*d - 89*d, -13*d - 67 = -o for o. 2 Solve -2*o + 368 - 374 = -2*d, 3*d = 5*o + 11 for d. 2 Solve 3*t + 45 - 54 = 2*l, 3*t - 3*l - 15 = 0 for t. -1 Solve 4852*d - 15 = 3*w + 4849*d, -43 = 3*w + 4*d for w. -9 Solve -5*j - 175 = 5*f - 275, 4*j - 89 = 5*f for f. -1 Solve -14 = 6*z - h, 3*z - 567*h + 569*h = -2 for z. -2 Solve n = 2519*c - 2524*c + 41, -2*n - 3*c = -26 for n. 1 Solve -6*d = 5*o - 5, 5*o - 191*d + 189*d = -35 for o. -5 Solve 3*g + 9 = 3*l, 398*g - 400*g - 8 = -l for l. -2 Solve -5*v - 2094 + 2060 = 3*c, -4*v = 5*c + 35 for v. -5 Solve 0 = -4*h - 2*d + 2719 - 2719, 0 = -h - d for h. 0 Solve 5*n + 3*b + 7 = 0, -302*n + 305*n = 4*b + 19 for n. 1 Solve -2*w - 54 = -20*j, -28*w + 33*w - 18 = -j for w. 3 Solve -59*g - 5*d - 25 = -57*g, 0 = -3*d - 21 for g. 5 Solve 5*m = 2*y - 20, 9 = -3*y - 2*m + 1 for y. 0 Solve 3*h + 28 = 2*f, -f - h = -5*h - 29 for f. 5 Solve -4*c + 98 = 2*u + 206 - 84, 3*c + 11 = -5*u for u. 2 Solve -3*j + 12 = -2*p, j + 82*p - 81*p = 4 for j. 4 Solve 0 = 4*t - c - 71 + 106, -c - 46 = 5*t for t. -9 Solve 3*a = 4*i + 5, 10 = 5*a - 37*i + 32*i for a. 3 Solve -2*k + 23*d = -2*k - 3*k - 68, 2*d = -5*k + 32 for k. 8 Solve 5*w - 108*z - 16 = -112*z, 2*z - 14 = -4*w for w. 4 Solve 3*g + 27*s + 20 = 23*s, 4*g + s = -31 for g. -8 Solve 4*l - 3*w = 19, 0 = -2*l + 7*l - 2*w - 15 for l. 1 Solve 0 = 11*j + 3*g + 6, 6*g - g = -8 - 2 for j. 0 Solve -3*s - 2*o + 17 = 0, -3*o + 30 = 4*s + 6 for s. 3 Solve 5*v + 37394 - 37415 = 3*f, -2*f = -2*v + 10 for f. -2 Solve 0 = -3*y - 9, 3*d - 142*y + 118*y = 99 - 18 for d. 3 Solve f + 5 = 7, 5*f = 4*q + 6 + 8 for q. -1 Solve -4*r - 8 = 4*f, -98 = -5*r - 98 for f. -2 Solve 2*u - 13 = -179*x + 180*x, u = 2*x + 14 for u. 4 Solve 5*w - 31 = i, 0 = -97*w + 100*w - 18 for i. -1 Solve -3*t + 935 = -2*y + 910, 3*t - 20 = y for t. 5 Solve 5*x - 42*i - 20 = -37*i, -6*x = 2*i + 16 for x. -1 Solve 217*a = -5*c + 222*a - 10, 3*c - 10*a = -13 for c. -1 Solve 2*j + g + 11 = 0, -123*g + 120*g - 18 = j for j. -3 Solve -5*c - 15 = 5*w, 7*c + 5*w + 3 = -16 for c. -2 Solve -4*v - 3*z = 28 - 24, -5*v = 2*z + 5 for v. -1 Solve 2*o - 41*y - 24 = -43*y, -6 = -o + y for o. 9 Solve -z - 3*b - 6 = 0, 5*z - 84*b + 80*b - 27 = 0 for z. 3 Solve -i = 2*m + 3*m - 17, 5*i + m - 1974 + 1985 = 0 for i. -3 Solve 3*o = -2*h + 39, 4*o = h + 23 + 18 for h. 3 Solve 4*y - 40 + 4 = 3*b, -2*y + 2*b = -22 for y. 3 Solve -2*y = -3*m + 19, -17*m - 7 = y - 21*m for y. -11 Solve 4*r = -5*p, -2765*p = -2762*p - 8*r - 52 for p. 4 Solve -3113*c + 46 = 4*b - 3107*c, 0 = 4*c + 4 for b. 13 Solve 2*z - d = -0*z + 15, -2*d = z - 10 for z. 8 Solve r - 172*u + 4 = -174*u, 5*r + 6 = 4*u for r. -2 Solve 3*y + 61 = t + 72, 6*y + t = 34 for y. 5 Solve -3*q + 18*k - 22*k + 2 = 0, -4*q = -4*k - 12 for q. 2 Solve v = 5*w - 74, -4*w = -v + 15113 - 15173 for v. -4 Solve 2*s + 22 = 2*m, m - 2*s + 42 = 51 for m. 13 Solve -9 = -g - 4*z, 86 = 4*g - 4*z + 90 for g. 1 Solve 0 = -4*t - 3*l + 8, 15 = -333*t + 334*t + 4*l for t. -1 Solve -w + 5*q = -16, 9*q - 4*q = -15 for w. 1 Solve 3*c + 4*o + 3806 - 3829 = 0, c = 5*o - 5 for c. 5 Solve -17*x + 1 = -18*x, 0 = r + x for r. 1 Solve -3*q + 24*h = 31*h + 5, 3*q = -3*h - 9 for q. -4 Solve 18 = -2*k - 4*h, 2*k = 9*h + 5 + 16 for k. -3 Solve 0*v + 3 = -b - 5*v, 4*v = 4*b - 12 for b. 2 Solve 1486*y - 1489*y = 2*k - 26, -3*y = 5*k - 20 for k. -2 Solve t - 4*x - 22 = 0, -2*x = 5809*t - 5811*t + 38 for t. 18 Solve 0 = 4*k - 2*f + 28, -40 = 5*k - 100*f + 95*f for k. -6 Solve 5*v + 23 = -3*q, 58*v = 60*v + 8 for q. -1 Solve -v - 82 = 2*y - 73, 3 = 3*y - 4*v for y. -3 Solve q - 3*d = -13, -1219*d + 11 = -5*q - 1222*d for q. -4 Solve 3*p - 16 = 2*d, 4*p - 19 = -5*d - 13 for d. -2 Solve 3*g = 5*f - 20, 208 = 52*f + 2*g - 6*g for f. 4 Solve 2*f = 5*k - 50, -6*f - 4*k + 68 = 28 for f. 0 Solve -2*k - 5 = m, 74*k - 72*k - 6*m = -12 for k. -3 Solve -2*r + r = -4*g - 21 - 23, -80 = 8*g for r. 4 Solve 34*q = -3*s + 30*q + 23, -q + 6 = s for s. 1 Solve a + 2*g = 1, 207*a + 7 = 211*a + 5*g for a. 3 Solve -96*y = -f - 97*y - 12, 5*y = -3*f - 62 for f. 1 Solve 2*d + 1545*p - 24 = 1541*p, 5*d + 15 = 5*p for d. 2 Solve 629 - 161 = -97*c - 20*c, -5*d = -5*d + 4*d - c for d. -1 Solve -246*k + 243*k - u = -14, -3*k + 3*u + 30 = 0 for k. 6 Solve 295*b - 46 = -7*u + 298*b, -u - b - 2 = 0 for u. 4 Solve -2*f - 47 + 17 = -4*l, 0 = -3*l - f + 10 for l. 5 Solve -6*g + 14 = 2*k - 9*g + 5*g, -4*k - 2 = -2*g for k. 2 Solve -4*o = -2*l + 24, -4*l = -1078*o + 1074*o - 32 for l. 4 Solve -l + 73 = 4*s + 48, -s - 20 = -5*l for s. 5 Solve -2*b - j - 3 = -7, 4 = 5*b + j for b. 0 Solve 3*v + l = -10, -5 = -148*v + 146*v + l for v. -1 Solve 0 = -2*x - 2*q - 8, -73*q + 56 = -8*x - 75*q for x. -8 Solve -3*w + 3*q = 42, 5*w - 7*q + 8*q + 52 = 0 for w. -11 Solve 4*w - 5 = -k, 5*k - 2*w - 2280 = -2255 for k. 5 Solve 2*k + 38 = -4*i, -29*k + 32*k - 15 = 2*i for i. -9 Solve -3*x - 3*i + 56 = 56, -3*i + 9 = 0 for x. -3 Solve 6*h = 0, -6*b + 3*b + 4*h = -7*b - 16 for b. -4 Solve 0 = 2*m + 4*i + 18, -77*i = -2*m - 79*i - 12 for m. -3 Solve 68 = 3*v + 5*m, -4*v + 24*m = 62 + 338 for v. -4 Solve 5*h + 85 = -5*t, 0 = -74*t + 70*t + 3*h - 33 for t. -12 Solve 524*d - 528*d - 22 =
{ "pile_set_name": "DM Mathematics" }
s 39? True Is -47947/5 at most as big as -9588? True Which is greater: -4304/361 or -12? -4304/361 Is -374918 less than -374905? True Which is smaller: 39935/124 or 321? 321 Is -5696 < -0.038? True Are 1396 and 1423 non-equal? True Is -72999 greater than or equal to -73001? True Is 5057581 less than 5057582? True Is -3196 at most as big as -3204? False Is 13597 bigger than 13577? True Which is smaller: -5452 or -5427? -5452 Is 17193 less than 17189? False Is -3187 >= -823? False Which is smaller: -1102227 or -1102228? -1102228 Which is greater: 18337 or 18336? 18337 Which is greater: -2/121277 or 1? 1 Which is smaller: -17945 or -17957? -17957 Which is smaller: -38279 or -38278? -38279 Which is smaller: -12/48601 or 1? -12/48601 Is -0.21785 equal to -28? False Is 0.4 >= 15848? False Is 0.4 less than 3.93655? True Which is smaller: -73133 or -73127? -73133 Is 8546 smaller than 8554? True Which is bigger: 1/4974095 or 1? 1 Is 1355 not equal to 1352? True Which is bigger: 15433 or 15431? 15433 Which is smaller: -10267901/4 or -2566976? -2566976 Which is greater: 11/32079 or 1? 1 Which is smaller: 645 or 939? 645 Which is smaller: -1/5 or 764? -1/5 Is 408/7 less than -16.79? False Which is bigger: 4813 or 9623/2? 4813 Is 402 != 404? True Which is smaller: -86164 or -86176? -86176 Which is smaller: -3105480 or -3105481? -3105481 Is 3775 at most as big as -2.5? False Which is greater: 1613 or -249? 1613 Which is smaller: 1/6346 or 1/28? 1/6346 Is -2/17 greater than 0.4788? False Is 6/2382619 less than -1? False Which is greater: 109/8494 or 1? 1 Is 4096 greater than or equal to -8/11? True Which is greater: 2312 or 2314? 2314 Is 46484 greater than 46482? True Which is smaller: -754681 or -754684? -754684 Is 0 <= -30/10417? False Which is greater: 1245 or 1691? 1691 Is 555 at least as big as 317? True Which is smaller: 1/33881 or -1? -1 Which is smaller: 19355 or 19424? 19355 Is -579 > -569? False Which is smaller: -36848 or -36847? -36848 Is -2/6731955 bigger than 0? False Is 0 bigger than -94/5241? True Does -14 = -14877? False Which is bigger: -1 or 81/27526? 81/27526 Is 1171/51 at most as big as 24? True Which is smaller: 30308 or 30312? 30308 Which is greater: 35823 or 35926? 35926 Which is greater: -1 or 1/15833? 1/15833 Is 1 >= 498/14651? True Which is greater: -189223 or -2459910/13? -189223 Which is smaller: -3804 or -3570? -3804 Which is smaller: 713 or 17798/25? 17798/25 Is -14740 at most -14748? False Is 20/349303 equal to 0? False Which is smaller: 59985 or 59994? 59985 Is 29 equal to 2361? False Does -44/8989 = 1? False Is 42040 at most as big as -0.2? False Is 17638 bigger than 70553/4? False Is 2.4 bigger than 244.11? False Which is greater: 0.2 or -1442904? 0.2 Is -465 at least as big as 230? False Which is bigger: -144907 or -1304167/9? -144907 Which is greater: 945158 or 945157? 945158 Is 15505 equal to 15505? True Are 2/5606949 and -1 unequal? True Is 109/2905 at least -1? True Which is smaller: 2 or -54/787? -54/787 Is -411 smaller than -1488? False Is 5649 equal to 1/3? False Which is smaller: 677 or 183? 183 Which is smaller: -29261 or -1? -29261 Which is greater: 1 or -25/1262? 1 Is -314/163 >= -2? True Which is bigger: 13374 or 2/21? 13374 Is -1890 at most -1903? False Which is bigger: 7218 or 105? 7218 Which is smaller: -6644/1461 or -6? -6 Is 4535 less than or equal to 10? False Is -78/7379 bigger than -1? True Which is smaller: -1 or -377/291? -377/291 Which is greater: 1 or 211/302? 1 Is 15172 equal to -2? False Which is smaller: 938 or 937? 937 Which is bigger: 8858 or 8846? 8858 Which is smaller: -139 or 77? -139 Which is bigger: 4660 or 4668? 4668 Which is smaller: 16003 or 16000? 16000 Is -33692 less than or equal to -33691? True Is -8572 bigger than -8576? True Which is smaller: -21614.7 or 9? -21614.7 Is -3357373 greater than or equal to -3357372? False Is -7.7375 >= 0? False Which is greater: 16869/5 or 3373? 16869/5 Is 0 smaller than 316/1837? True Is -994/2409 less than or equal to 0? True Which is bigger: 5024 or 115556/23? 115556/23 Is -129/389 less than 0? True Is 1 != -2/24356421? True Which is greater: -6/875443 or -1? -6/875443 Is -97 at least 114? False Is 3/90740 >= 0? True Is 47416/9 < 5269? True Is -23903 at least as big as -23902? False Is -890882 smaller than -1/4? True Is 1140222 bigger than -2/3? True Which is greater: 0 or 11/82094? 11/82094 Which is smaller: -30979 or -30983? -30983 Is 1 at least 630/3571? True Is 0.1 at most as big as 12576? True Is 29053 != 29051? True Is 2658 smaller than 29? False Which is smaller: 1807 or 1806? 1806 Do -1 and 290.373 have different values? True Which is greater: 0 or 7/6772? 7/6772 Which is smaller: 1/26 or -43529? -43529 Is 88/381 < -2.5? False Which is smaller: -15/676034 or -1? -1 Which is smaller: 1474 or 103? 103 Which is bigger: 286/47085 or 1? 1 Is -509 greater than or equal to 1/124? False Is -11118 not equal to -11118? False Is -4 less than -44.46? False Which is bigger: 1248/517 or 3? 3 Which is bigger: 1 or 3/655313? 1 Is -4720 >= -4715? False Which is bigger: -161/2 or -0.0731? -0.0731 Which is bigger: 83850 or 83849? 83850 Which is bigger: 10 or 1519? 1519 Are -112213 and -112197 nonequal? True Are 6/508961 and 0 nonequal? True Which is bigger: -2330 or -2377? -2330 Is 871 greater than 862? True Is -15 < -46263? False Is 130798 equal to 130787? False Which is greater: 38 or -55558? 38 Are -1998006 and -1998007 non-equal? True Is 3614 smaller than 4064? True Which is smaller: 5687540 or 5687539? 5687539 Which is bigger: -242731/6 or -40454? -40454 Which is smaller: 0 or 1/9415617? 0 Which is bigger: -4/3548211 or 0? 0 Is 1596 less than 2572? True Is -117 at most 3/8? True Is -177/53 at least 12/7? False Which is bigger: -1860957 or -1860956? -1860956 Is -11/6727 less than -1? False Is 2/3 greater than -44611? True Which is smaller: 7316/705 or 10? 10 Do -6248 and 474 have different values? True Is -6 greater than or equal to -3310? True Is 0 > 6/1429829? False Which is smaller: -100481 or -100479? -100481 Which is smaller: 2648 or 2679? 2648 Which is smaller: -441 or -87536/199? -441 Is 66 <= 0.0681? False Is -8471/84 greater than -102? True Which is greater: 7.73 or 3012? 3012 Which is smaller: -665 or -444? -665 Are -325448/81 and -4018 equal? False Which is smaller: -2984 or -2981? -2984 Is -140191 at least as big as -1/4? False Which is smaller: 0.1 or 5.472781? 0.1 Which is bigger: 33/104 or -1/35? 33/104 Which is smaller: 1/1006341 or -1? -1 Is 171039 less than or equal to 171041? True Is -141/2 at most -952? False Which is greater: 4654 or 11? 4654 Which is smaller: -1 or -7/3639? -1 Is 70891 smaller than 70892? True Is 8753 < 376338/43? False Which is bigger: -1 or 1/748050? 1/748050 Is -16747 smaller than -16720? True Is -1450967 <= -1450968? False Which is bigger: -15/2176 or -31? -15/2176 Is -893806 greater than -893806? False Is 4/3 smaller than -58439? False Is 1/1265561 at least 0? True Which is smaller: -13331/168 or -79? -13331/168 Is 10312 < 10312? False Is -1 less than or equal to -1/3906357? True Does 82503 = 82503? True Is 3025 equal to 1.7? False Are 1 and 201/37967 unequal? True Is 1391 not equal to 247? True Is -43417 smaller than -21/5? True Which is bigger: -79361/85 or -934? -79361/85 Is 12924 <= 0.63? False Is 4/591 bigger than 1? False Which is bigger: -335081 or -335084? -335081 Which is bigger: 7396/299 or 26? 26 Is -9985 at least as big as -9984? False Is 99 equal to -52? False Which is smaller: -0.2 or 1099/94? -0.2 Are 36398 and 109198/3 nonequal? True Is -19136/21 at least as big as -911? False Which is smaller: -13258/89 or -149? -149 Which is bigger: 0.0642594 or 2/9? 2/9 Is 1911 != 2002? True Do 249 and 26.8 have different values? True Which is bigger: -1451.615 or 2/13? 2/13 Which is greater: -5/212188 or 1? 1 Is -4913 less than or equal to 9? True Is -2995 less than -2988? True Which is bigger: -227671 or -227663? -227663 Which is smaller: -41342 or -0.27? -41342 Is -12 < -12380? False Is 5741 less than or equal to 5744? True Is 92893 at most as big as 92898? True Are -625/258 and -1 nonequal? True Which is smaller: -13 or -593/50? -13 Do 759814/5 and 151962 have different values? True Which is greater:
{ "pile_set_name": "DM Mathematics" }
c) 2/7 a What is the closest to -1/4 in 13941, -2/3, 2/9? -2/3 What is the nearest to 1 in 1473, 1/6, 0? 1/6 Which is the closest to -0.3? (a) 24 (b) 2/9 (c) 1/10 c What is the closest to -96 in -0.5, 3, 1/4, 1, 11? -0.5 What is the closest to -1/8 in -1/48, 0.07, -0.4, -2? -1/48 Which is the closest to -2/3? (a) 2 (b) -2 (c) -264 (d) -8 (e) -1 e What is the nearest to 0 in -42, 4/61, -5, 2/45? 2/45 What is the nearest to -1 in 2/9, -0.4, -862/3, 4? -0.4 What is the nearest to 0.3 in 102, 1/5, 0, -2? 1/5 Which is the closest to 0? (a) 0.4 (b) -20/7 (c) 50.33 (d) 0.5 a What is the closest to 972 in 0.6, 0.03, -0.4, -1? 0.6 Which is the closest to -0.255? (a) -3 (b) 1/6 (c) 0.5 (d) 7 b What is the nearest to 1 in -1, -123, 9? -1 What is the nearest to -5 in -2, 4, 4/3, -16? -2 Which is the closest to -1? (a) 7 (b) -5 (c) 2/9 (d) -10832 (e) 5 c What is the nearest to -0.1 in -40, -18, -1, -2/25? -2/25 Which is the closest to 6/49? (a) 0.04 (b) -4 (c) 1/3 a What is the nearest to 2/11 in -0.2, -1/2, 32? -0.2 Which is the closest to 1? (a) 73 (b) 9/31 (c) 3 b What is the nearest to -2/13 in -1, -38/3, 0.4, -0.05? -0.05 What is the closest to 1 in 0.5, -2, -4, 44/9? 0.5 What is the closest to 8 in 3, -1/9, -181? 3 What is the closest to -1 in 2, -0.01659, -34, 0.1? -0.01659 What is the closest to 2 in -1/3, 2/5, -12, 7, -0.4? 2/5 What is the closest to -0.1 in -0.041, -3, 12/11, 1? -0.041 Which is the closest to 1? (a) 12 (b) 3 (c) 7 (d) 0.4 d Which is the closest to 5.4? (a) -0.5 (b) 1.4 (c) 0 (d) 1/9 b Which is the closest to 61? (a) 4 (b) 3/8 (c) -3 (d) 29 d Which is the nearest to 4? (a) -4/5 (b) 562/47 (c) 5 (d) 4 (e) 0.5 d Which is the closest to 84/55? (a) -3/7 (b) 3 (c) -1/4 b Which is the closest to 12? (a) -3 (b) 0.81 (c) -8 b Which is the nearest to 1449? (a) 0.5 (b) -4/11 (c) -0.1 (d) 1 (e) -0.2 d What is the nearest to 30 in 24/19, -4, -2/5? 24/19 Which is the nearest to 14? (a) -2 (b) -0.08 (c) 4.2 (d) 57 (e) 0.5 c Which is the closest to 2? (a) 5 (b) 0.1 (c) 699 (d) 4 b Which is the closest to 0.3? (a) -0.1 (b) 0.062 (c) 1.5 b What is the nearest to -0.2 in 108/61, 1, 5? 1 Which is the nearest to -3? (a) 2/11 (b) -0.09 (c) 2/15 (d) 5 (e) 3/4 b Which is the nearest to -1/2? (a) -831 (b) -0.6 (c) -6 b Which is the nearest to 0.1? (a) 0.09 (b) -0.2 (c) 13 (d) -0.3 (e) 0.1 e Which is the nearest to 6/5? (a) 3/16886 (b) -4 (c) -5 a What is the nearest to 11 in -5425, -1/5, 1/3? 1/3 Which is the closest to 2/3? (a) 16 (b) 1 (c) 0 (d) -103 b Which is the closest to 64? (a) 10 (b) -1 (c) -19 (d) 5 a Which is the nearest to -1? (a) -0.1382 (b) 2 (c) -0.25 c Which is the closest to -1/19? (a) 4 (b) -0.58 (c) -0.3 c What is the nearest to 356 in 0.1, -9/8, 9, -0.1, -1? 9 What is the closest to -1/2 in -3/5, 0.016, -1, -6? -3/5 What is the closest to 3 in 1/4, -5, -0.5, -25.8, -2? 1/4 Which is the nearest to -32? (a) 0.4 (b) -0.3 (c) 0.2 (d) 1 (e) -1/3 e What is the closest to -1/3 in -828, 2, 0.01? 0.01 What is the nearest to -9 in 6, -5, 3/14, -1? -5 Which is the closest to 1? (a) -4/9 (b) -4 (c) 0.06 (d) -6/7 (e) 10 c What is the closest to -52/5 in -6, 4, 0.04, 34? -6 What is the nearest to -0.4 in -0.05, -223/4, -0.4? -0.4 What is the closest to -1/2 in 1/11, -4, -5, 2/15, -0.02? -0.02 What is the closest to 0.5 in -2/29, 1, 3? 1 Which is the nearest to -1.3? (a) 0 (b) -1 (c) -4 (d) 143 b Which is the nearest to 1128? (a) 4 (b) 2 (c) 0.04 (d) 0 a What is the closest to -15 in -147, 1, -5, -5/6? -5 What is the nearest to 6.4 in -16, 5, -4/3? 5 What is the closest to 1 in -2/17, 0.9, 0.5, -4/53? 0.9 Which is the closest to 2? (a) 1/3 (b) 2/9 (c) -11 (d) 29 a Which is the nearest to -3/5? (a) -2 (b) -0.16 (c) 0.033 b Which is the closest to -0.1? (a) 5 (b) 3 (c) -3.1 (d) -11 c What is the nearest to -0.1 in 1/3, -36, -333? 1/3 Which is the closest to -1? (a) -0.2 (b) 146 (c) -0.068 a Which is the nearest to 0.31? (a) -5 (b) -3/35 (c) 0.2 c What is the nearest to 9.1 in 8, 1/3, 1? 8 Which is the nearest to 1? (a) 1.97 (b) 8/5 (c) -3 b What is the closest to 172 in -1, 0.239, -5? 0.239 Which is the nearest to -2? (a) -90 (b) -2 (c) -0.5 (d) -1/4 (e) 1 b What is the nearest to 0 in 4, -0.713, 3, -2/3? -2/3 Which is the closest to -36? (a) 0.1 (b) 0.06 (c) 3 (d) 1/3 (e) -2/39 e What is the nearest to -109.6 in 0.6, 0.4, -2/9? -2/9 Which is the closest to -1/2? (a) -5 (b) -15/7 (c) -26 (d) -0.5 (e) 2 d Which is the nearest to -2/3? (a) -2/7 (b) -0.4 (c) -1/4 (d) 0.2 (e) 2 b Which is the nearest to -1/4? (a) 115/2 (b) 19.8 (c) -1 (d) -2/7 (e) 2/13 d Which is the nearest to -2? (a) 4/9 (b) 5 (c) 549 a Which is the closest to -2? (a) -0.2 (b) 36/7 (c) 14 a What is the closest to -1 in -3/7, 7/9, -25? -3/7 Which is the nearest to 6? (a) 0 (b) -2/15 (c) 0.4 (d) 272 c Which is the closest to 2/27? (a) -2 (b) 0.4 (c) 4 (d) 1.16 b Which is the closest to 1/2? (a) -0.09 (b) 5 (c) 2/3 (d) -2/7 c What is the closest to 0 in -0.4, 0.198, -0.01, -2? -0.01 Which is the nearest to 14? (a) -5 (b) 0.135 (c) -9 b What is the nearest to 0.18 in -0.5, -4, 0.1? 0.1 Which is the nearest to -3/5? (a) 0.1 (b) 0.01 (c) 4/3 (d) -4/21 d What is the nearest to 2/5 in -104, 4, 3/11? 3/11 Which is the nearest to -0.1? (a) -2/7 (b) 0 (c) -627 (d) -0.1 (e) -3/8 d What is the nearest to -1.3 in 0.4, -6/35, 3? -6/35 Which is the closest to 0.1? (a) 0.11 (b) -0.2 (c) -1 (d) 1514 a Which is the closest to 34/21? (a) 30 (b) -1 (c) -6/11 c Which is the nearest to -26133? (a) -4 (b) 4 (c) 0 a What is the closest to -1/2 in 3/19, 28/3, -3.57, 0.2, 4? 3/19 Which is the closest to 1/5? (a) 7 (b) 4 (c) 0 (d) 2/19 d Which is the nearest to 0? (a) 0.5 (b) 27 (c) -1 (d) -0.2 (e) 1028 d What is the nearest to 4 in 5, 0.12, 0.04, -18? 5 Which is the nearest to -2? (a) -1/4 (b) 0.41 (c) 0.2 (d) -1/41 (e) 2/9 a What is the nearest to -15 in 30, -5/6, -3, 3/4? -3 Which is the closest to 1? (a) -6/65 (b) -5 (c) 4 (d) 6/43 d What is the closest to 27 in 0.1, -5, -0.1, -4? 0.1 What is the closest to 100 in 0.1, -2, -5.1? 0.1 What is the nearest to -1.7 in -0.1, -0.6, 0.33? -0.6 Which is the nearest to 240.6? (a) -1 (b) -1/4 (c) 0 (d) 0.4 d Which is the closest to -0.3? (a) -1/3 (b) 2 (c) -217 (d) 0.2 (e) 1/14 a Which is the nearest to 584? (a) 0.5 (b) -6 (c) 5 (d) 1/3 c What is the closest to 2 in -2/31, 1/2, 49? 1/2 What is the nearest to 1298 in 5, -1, -28? 5 Which is the closest to 3? (a) 5 (b) -187 (c) 4 c What is the closest to -0.1 in 2, 48.77, 3/16? 3/16 What is the nearest to -29/5 in -1, -3, -0.2, -0.03? -3 What is the closest to 1 in -8.38, 3/4, -2, -0.1? 3/4 What is the nearest to 11 in 1, -0.4, 2/5, 0.11? 1 What is the closest to -3/4 in 3/67, -1, -17? -1 What is the nearest to -6 in -0.1, 3/2, 480, -1? -1 What is the closest to -0.1 in 4, 764, -5? 4 Which is the nearest to -7? (a) 1/2 (b) -2/25 (c) 0.4 b What is the closest to 0 in -2, 108.53, 0.07? 0.07 What is the nearest to 0.2 in -0.8, -386, -5? -0.8 What is the closest to 24/49 in 0, -5, -0.1, -0.5, -4/9? 0 Which is the closest to 1? (a) -2/9 (b) -1/4 (c) -103 (d) 9 a What is the closest to 2 in -36, -12, -7, -2/3? -2/3 What is the nearest to 1/2 in 0.5, -42, -0.3, -3? 0.5 What is the nearest to 0.3 in -44, 2/365, -0.1? 2/365 Which is the closest to -16/9? (a) 4 (b) 5/4 (c) -0.1 (d) 0.08 c Which is the closest to -7/2? (a) -0.5 (b) -1.43 (c) 0 (d) -0.4 b What is the closest to 1 in 81/5, -1/6, -0.22, -3/5, -0.11? -0.11 Which is the nearest to 19? (a) 25 (b) 5 (c) 0 (d) -0.5 a Which is the nearest to -77? (a) -2 (b) -0.1 (c) -383.8 a What is the nearest to -2 in -2/3, 5, -13, 1? -2/3 What is the nearest to -5 in 9, -5, 0.38? -5 Which is the nearest to 0.1? (a) 5.86 (b) -5 (c) 0.924 c What is the closest to -1/3 in 2/11, 1/2, 0.2, 449? 2/11 Which is the nearest to -1? (a) 5.7 (b) -39 (c) 4 c Which is the nearest to -2/13? (a) 1 (b) -0.2 (c) 245/6 b What is the nearest to -51 in -1/3, -0.12, -3, -5? -5 What is the closest to 0.7 in 1695, -5, 4? 4 Which is the nearest to 10
{ "pile_set_name": "DM Mathematics" }
cending order. -5, -2, 3, 8, 13 Sort -6, -4, 21, 7. -6, -4, 7, 21 Put -12, 0.4, -2, -22 in descending order. 0.4, -2, -12, -22 Sort -2/5, 4/7, -32/7. -32/7, -2/5, 4/7 Put -124, 5, -4, 1 in descending order. 5, 1, -4, -124 Sort 0, -2, -1, 6, 4 in increasing order. -2, -1, 0, 4, 6 Put -1, -7, 0, -18, 4 in decreasing order. 4, 0, -1, -7, -18 Sort 4/5, 3/5, -9, 3 in increasing order. -9, 3/5, 4/5, 3 Put -1770/7, -0.2, -3 in decreasing order. -0.2, -3, -1770/7 Sort 2/7, 1, 4, 12 in descending order. 12, 4, 1, 2/7 Sort 4, -3, -2, 103 in increasing order. -3, -2, 4, 103 Sort 0, 17, 4 in decreasing order. 17, 4, 0 Sort 0, -2, -8, -7 in decreasing order. 0, -2, -7, -8 Sort 2/15, 6, 2/5, 3/2, 2 in decreasing order. 6, 2, 3/2, 2/5, 2/15 Sort 13, -13, 2 in increasing order. -13, 2, 13 Put -59, 0, -4, 6/13, 0.4 in decreasing order. 6/13, 0.4, 0, -4, -59 Sort -5, 69, -4 in increasing order. -5, -4, 69 Sort -1, -11, 2/5, -70 in descending order. 2/5, -1, -11, -70 Sort 2/7, -1, 0.5, -5 in increasing order. -5, -1, 2/7, 0.5 Sort 3/46, 13, 1/3 in decreasing order. 13, 1/3, 3/46 Sort -3, -74, 6, -4 in decreasing order. 6, -3, -4, -74 Sort -4, 26, -3, 4 in descending order. 26, 4, -3, -4 Sort 3, -1/3, 1/3, 5/2, 0.82. -1/3, 1/3, 0.82, 5/2, 3 Sort -1/2, -3, 2, 0.07, -4 in decreasing order. 2, 0.07, -1/2, -3, -4 Sort -9, 0, -2, 9, 1 in decreasing order. 9, 1, 0, -2, -9 Put 2/3, -25, 0.2, -1/3 in increasing order. -25, -1/3, 0.2, 2/3 Sort 5, 2, -210, 0 in descending order. 5, 2, 0, -210 Sort 1/4, 44, 6.5 in increasing order. 1/4, 6.5, 44 Sort -4, 5, 25. -4, 5, 25 Sort -288, 4, 5 in increasing order. -288, 4, 5 Put 0.7, 15, 0.1 in decreasing order. 15, 0.7, 0.1 Sort 18, -3, -2, 5 in descending order. 18, 5, -2, -3 Sort -1, -98, 5, 0 in ascending order. -98, -1, 0, 5 Put 4, -4, -3, 5, 31 in decreasing order. 31, 5, 4, -3, -4 Sort -1, 256, -2. -2, -1, 256 Sort 199, -13, 0. -13, 0, 199 Put -34, 2, 1, -10, -3 in ascending order. -34, -10, -3, 1, 2 Put -0.11, -2, 0.52 in decreasing order. 0.52, -0.11, -2 Put -2, -1, 1, 288, 0 in descending order. 288, 1, 0, -1, -2 Sort 0.3, -1, 0.04, -2/121 in ascending order. -1, -2/121, 0.04, 0.3 Sort -4, 2, 10, 5 in descending order. 10, 5, 2, -4 Sort 2, -1209, 1, -8. -1209, -8, 1, 2 Sort 2/9, 5, -1.1, -1 in descending order. 5, 2/9, -1, -1.1 Sort 4, 15, -5 in ascending order. -5, 4, 15 Sort -1, -3, -51, 22 in descending order. 22, -1, -3, -51 Put 42, -3, 0 in decreasing order. 42, 0, -3 Put -52, 1/2, -0.5 in descending order. 1/2, -0.5, -52 Sort 2, 5, 0, -2, -1/8 in ascending order. -2, -1/8, 0, 2, 5 Sort -4.5, -3/5, 1/3, 3/5 in decreasing order. 3/5, 1/3, -3/5, -4.5 Sort -0.5, 0.14, -14 in decreasing order. 0.14, -0.5, -14 Put 5, 3, 4, -325 in ascending order. -325, 3, 4, 5 Put 3, -366, 2 in increasing order. -366, 2, 3 Put 1, 3, -5, 0 in descending order. 3, 1, 0, -5 Put -0.5, 2/59, -2/11 in increasing order. -0.5, -2/11, 2/59 Sort -784, -3, -2 in increasing order. -784, -3, -2 Sort -5, -2, 2, 5 in descending order. 5, 2, -2, -5 Sort -1/36, -9, -2. -9, -2, -1/36 Put 0.0933, -0.4, 1/3 in decreasing order. 1/3, 0.0933, -0.4 Sort 1/7, -348, 3. -348, 1/7, 3 Sort -4, 5, -13 in ascending order. -13, -4, 5 Sort -1/6, 5, 10, 3/2, 5/4 in descending order. 10, 5, 3/2, 5/4, -1/6 Put -4.6, -1/5, -1 in ascending order. -4.6, -1, -1/5 Sort 125, -2, 4 in ascending order. -2, 4, 125 Put -6/109, 1/2, -5 in decreasing order. 1/2, -6/109, -5 Put -40, 0.2, -4/9, 3, 5 in ascending order. -40, -4/9, 0.2, 3, 5 Sort 5, -4, 3, -32. -32, -4, 3, 5 Sort 3, -71, -5 in descending order. 3, -5, -71 Put 5, 4, 49, 3, -13 in increasing order. -13, 3, 4, 5, 49 Sort -3, 0, -41, 1. -41, -3, 0, 1 Sort 18, 0.1, 1, -4. -4, 0.1, 1, 18 Put 2, -2, -1210 in decreasing order. 2, -2, -1210 Sort 7, 0, -3, 4 in increasing order. -3, 0, 4, 7 Sort -5, -2, -1 in decreasing order. -1, -2, -5 Put 2, -1689, 1 in decreasing order. 2, 1, -1689 Sort 11, -1, 41, -5 in descending order. 41, 11, -1, -5 Sort -5, -32, -4, 5, 1 in descending order. 5, 1, -4, -5, -32 Put 4, -4, -26, -1 in increasing order. -26, -4, -1, 4 Put -9, -35, -3 in descending order. -3, -9, -35 Put 0, -3, 7, 3 in increasing order. -3, 0, 3, 7 Put 738, 3, 5 in increasing order. 3, 5, 738 Sort 10, 4, -4, 2 in increasing order. -4, 2, 4, 10 Put -1, -12, -6, 1 in descending order. 1, -1, -6, -12 Sort 0.3, 0.11, -2/3, -1.1 in decreasing order. 0.3, 0.11, -2/3, -1.1 Put -1/2, -9, -219 in increasing order. -219, -9, -1/2 Put 3, -14, 14, 4, 5 in decreasing order. 14, 5, 4, 3, -14 Sort 5, 10/13, 4 in ascending order. 10/13, 4, 5 Sort 1/3, 20, 0.3, -0.3, -11 in decreasing order. 20, 1/3, 0.3, -0.3, -11 Sort 651, 2, 5 in increasing order. 2, 5, 651 Sort -4, 4, 2, -27 in descending order. 4, 2, -4, -27 Sort -2/5, 2, 0.06, -16. -16, -2/5, 0.06, 2 Sort 41, 0.03, -4 in increasing order. -4, 0.03, 41 Sort -1/11, -0.2, 4/3, -5 in descending order. 4/3, -1/11, -0.2, -5 Sort 3, 4, 5, -5, 2 in decreasing order. 5, 4, 3, 2, -5 Sort -3, -29, 1 in increasing order. -29, -3, 1 Sort 4, 3, -29 in ascending order. -29, 3, 4 Sort -476, -2, 5. -476, -2, 5 Sort -4, -2, -7, -3 in decreasing order. -2, -3, -4, -7 Put -1, -59, 4, 28 in descending order. 28, 4, -1, -59 Sort -3, -3/4, -1/37, -1 in descending order. -1/37, -3/4, -1, -3 Put -7, 7, 5, -6 in decreasing order. 7, 5, -6, -7 Sort 62, -4, 0, 5. -4, 0, 5, 62 Sort 4, -0.5, 0.11, -0.9 in descending order. 4, 0.11, -0.5, -0.9 Sort 1/5, 5, -6, 18, 3 in decreasing order. 18, 5, 3, 1/5, -6 Put -14, -3, 2 in ascending order. -14, -3, 2 Sort -1, 0, -1/2, -0.4 in descending order. 0, -0.4, -1/2, -1 Put -38, -5, -1 in decreasing order. -1, -5, -38 Sort 5, 0, -1/4, 2 in descending order. 5, 2, 0, -1/4 Put 10, -1/8, -12, -5, 3 in decreasing order. 10, 3, -1/8, -5, -12 Put -0.2, 7, 2 in decreasing order. 7, 2, -0.2 Sort -1, -1/3, -0.4, 5, 13 in descending order. 13, 5, -1/3, -0.4, -1 Put 5, -1, 78 in descending order. 78, 5, -1 Sort -5, -21, 2, -2 in increasing order. -21, -5, -2, 2 Put -2, -243, -4 in ascending order. -243, -4, -2 Sort 3, -7, 446 in increasing order. -7, 3, 446 Put 4, 2/3, 2, -0.2 in decreasing order. 4, 2, 2/3, -0.2 Put 0.4, 4, -0.232, 5, 1 in descending order. 5, 4, 1, 0.4, -0.232 Sort -45, -5, 5. -45, -5, 5 Sort -2/3, -5, -1/4, -6987 in decreasing order. -1/4, -2/3, -5, -6987 Sort 45, -4, 5, -17. -17, -4, 5, 45 Put 2, 2/27, 4 in increasing order. 2/27, 2, 4 Put -0.3, -60, -0.2 in ascending order. -60, -0.3, -0.2 Put -2, 99, 3 in decreasing order. 99, 3, -2 Sort 5, -69, -6, 3 in descending order. 5, 3, -6, -69 Put -0.046, 39, -1 in descending order. 39, -0.046, -1 Put -3, -9, -4, -2/7 in descending order. -2/7, -3, -4, -9 Put 2, 163, 3 in increasing order. 2, 3, 163 Put 4, 6, 3, 1 in descending order. 6, 4, 3, 1 Sort -6, -0.5, -0.1 in descending order. -0.1, -0.5, -6 Sort 4, -38, 5 in descending order. 5, 4, -38 Put 271, -2, 5, 10, -3 in increasing order. -3, -2, 5, 10, 271 Sort 5, -5, 0, -114 in increasing order. -114, -5, 0, 5 Put -0.11, -0.2, -2/3, 0.14 in descending order. 0.14, -0.11, -0.2, -2/3 Put -3, 1, 12, -1 in increasing order. -3, -1, 1, 12 Sort 0.1, 69, 2/3 in descending order. 69, 2/3, 0.1 Put 0.3, 4, 0, -4, -18 in descending order. 4, 0.3, 0, -4, -18 Put 0.5, 11, 5 in descending order. 11, 5, 0.5 Put 2, -4, 12, -9, 4 in descending order. 12, 4, 2, -4, -9 Put 4/17, 2/13, 22/3 in descending order. 22/3, 4/17, 2/13 Sort -25/3, -2, -3, -5 in increasing order. -25/3, -5, -3, -2 Put 11, -3, 4 in increasing order. -3, 4, 11 Sort 0, 11, 16 in decreasing order. 16, 11, 0 Sort -8, 4, 2 in descending order. 4, 2, -8 Put -5, 25, -1, 47 in descending order. 47, 25, -1, -5 Put 9, -1, 3, -5, -8 in increasing order. -8, -5, -1, 3, 9 Sort -3, -99, 5, 0 in ascending order. -99, -3, 0, 5 Sort -4, 1, 3/10. -4, 3/10, 1 Sort -5, 2/5, -0.3, 0.069, -2/3 in descending order. 2/5, 0.069, -0.3, -2/3, -5 Put -2, -6, 12, -0.3 in increasing order. -6, -2, -0.3, 12 Put -1/4, -2, -14 in ascending order. -14, -2, -1/4 Sort 5, 3498, 0. 0, 5, 3498 Put 9, 0.3, -2.4 in increasing order. -2.4, 0.3, 9 Put 9609, -0.5, 0.1 in descending order. 9609, 0.1, -0.5 Sort 8, -2, 1, 3. -2, 1, 3, 8 Sort -0.29, -0.2, 1/2, 5 in decreasing order. 5, 1/2, -0.2, -0.29 Put 1/82, 1/4, -40 in descending order. 1/4, 1/82, -40 Sort
{ "pile_set_name": "DM Mathematics" }
2 + 57*f - 221. Let q be c(6). Which is smaller: 4749/5 or q? q Suppose 75*f - 40*f = -245. Which is smaller: -107/16 or f? f Let s = -15119 - -15121. Which is smaller: s or 2443? s Let r = -140.974 + 141. Let i = r - 0.038. Which is greater: i or -2/9? i Let a = 929 - 1302. Let p = a + 372.5. Which is greater: -3/5 or p? p Let s = 297948/31 - 9611. Are 1 and s nonequal? True Let u = 246 - 243. Let d = u - 2.8. Is d at least as big as -2/69? True Suppose s + 2*j + 12 = -7, 4*j = -16. Do -0.7 and s have different values? True Let r be 330/24 + 2/8. Let n(x) = 2*x - 27. Let y be n(r). Let a be y + -2 - (1 - (0 - -3)). Is a < 1/13? False Let b be 6/(-64)*(-30)/(-45) + (-182)/160. Is 1111 at least b? True Let q(p) be the third derivative of p**5/60 + p**4 + 20*p**3/3 + 26*p**2. Let u be q(-24). Let w = 28 - -11. Is w bigger than u? False Let t(a) = 4*a**2 - a**3 - 7 - 2*a**2 - 2*a + 3*a**2 + a**2. Let h be t(5). Let s be (70/(-56))/((-6)/h). Which is smaller: 2 or s? s Let w(g) = 2*g**3 + 15*g**2 + 26*g - 37. Let s(o) = 4*o**3 + 31*o**2 + 50*o - 72. Let z(t) = -4*s(t) + 7*w(t). Let p be z(-10). Which is greater: p or 310? 310 Suppose -12 = -9*j - 3*j. Let m be 0/(24/(-6)) + j + -1. Suppose -2*d + 5*s - 110 = -24, 4*d + 5*s + 112 = m. Which is smaller: -32 or d? d Let v = 15627 + -15636. Let g = -1.94 + -0.06. Which is greater: g or v? g Let b = 127 + -77. Suppose h + 3*m - b = 0, m - 197 + 31 = -3*h. Let t(a) = 2*a**2 + a. Let u be t(5). Which is smaller: h or u? u Suppose -5 + 7 = q. Let p = 17 - q. Suppose 17*t - p*t = -8. Which is greater: -6 or t? t Let x = 457.43 + -455. Let w = -2.386 + x. Which is bigger: 0 or w? w Suppose -11*q - 100 = -89. Are 0.5539 and q non-equal? True Let s = -3 - 1. Let x = 219.0146 - 0.0146. Let n = x + -218.9. Do s and n have different values? True Let j be (25 + -1)*165/22. Let b be (66/8)/(27/j). Which is smaller: 54 or b? 54 Let b(r) = -17*r**3 - 2*r - 1. Let t be b(-1). Suppose 2*l - 5*w = -312, -16*l + 294 = -t*l - 4*w. Which is greater: l or -152? l Let h = -1.8 + -11.2. Let k = h + 11.6. Let c be 2/(64/26 - (-42)/(-91)). Is k >= c? False Let c be 38/((-40 + 75)*(-4)/10). Let r = 185/63 + c. Which is greater: 13 or r? 13 Let r be (-977 - 0)*(124 - 125). Is 977 less than or equal to r? True Let h be (-13 + 4250/1904)*(-2)/(-6). Which is greater: -3 or h? -3 Let u(n) = 3*n - 49. Let w be u(16). Let f be w + 1 - (-6)/2. Suppose -f*v + 2 = -13. Are v and 4 unequal? True Let g(y) = 2*y**3 + 22*y**2 + 21*y + 230. Let p be g(-11). Which is bigger: p or -0.02963? -0.02963 Let y be (15/4 + 0)/(66/176). Suppose 6 = 3*l + 2*g, 3*l - 8*l + 5*g = -y. Let r be ((-1)/l)/((-249)/12). Which is greater: 1 or r? 1 Let k = -408 - -409. Let p be 6/k + 320/(-50). Let c = -0.1 + -0.9. Which is bigger: c or p? p Let h = -100415/2 - -47989. Let c = h - -2176. Which is smaller: c or -44? -44 Let m = 199 + -199.216. Let j = m - 1.084. Is j at most -1? True Let b(l) = 109*l - 866. Let t be b(8). Is t > 82/11? False Let d(a) be the first derivative of 5*a**3/3 + a**2 - 5*a - 52. Let h be d(2). Which is greater: 21 or h? 21 Let s be ((2/(-3))/2)/(8/3376). Let n = s + 2251/16. Is 0 less than n? True Let a(b) = -b**3 - 7*b**2 + 31*b + 215. Let i be ((-1)/(-2)*2)/((-3)/21). Let z be a(i). Let v = -1 - -1. Which is greater: v or z? v Let b = -3273 - -3138. Which is smaller: b or 0.2? b Let u(o) = 24*o**2 - 2*o - 11. Let z be u(0). Suppose -3 = -2*x + 5*i - 0, 0 = x - i - 3. Suppose x*p + 25 = -15. Is p bigger than z? True Let m = -3327/5 - -663. Let z(d) = d**2 + 4*d - 6. Let c = 3 + -8. Let w be z(c). Which is greater: w or m? w Let y = 53415 + -212575/4. Is 272 greater than y? True Let k = 13.841 + -12.841. Is k at most as big as 408.8? True Let b = 1397 - 1453. Which is smaller: 1/12 or b? b Suppose -9*z - 245 - 403 = 0. Let a = 73 + z. Which is smaller: a or 8/5? a Let j = 19.735 + -19.535. Which is bigger: 9/1096 or j? j Let g(x) = -3*x**2 + 3*x + 30. Let r be g(-17). Let v = -44393/50 - r. Which is bigger: v or 1? 1 Let w be (520/(-32))/(-5) + -3. Let n = -0.3 - -3.3. Let i = n - 2. Which is smaller: i or w? w Let n(h) = h**3 + 15*h**2 - 3*h - 18. Let o be n(-13). Suppose 3*w - 3*v + v = 541, 2*w = v + o. Which is smaller: w or 175? 175 Let d(i) = -2*i**2 + 17*i - 17. Let u = -109 - -112. Suppose -u*x = -4*q + 38, 5*q - 50 = 8*x - 3*x. Let g be d(q). Is g at most as big as -11? False Let r be 394 + -379 + (-1381)/92. Which is bigger: 1 or r? 1 Let o = 2.9 - 1. Let m = o - -43.1. Let c = 50 - m. Is 0 != c? True Let h = 1175 - 507. Is 667 at most as big as h? True Let a = 4977.95 - 5137. Let y = a + 159. Which is bigger: -0.26 or y? y Suppose 3*y - 80 = -4886. Which is bigger: 1 or y? 1 Let v(w) = -62*w. Let u be v(-1). Let d = 64 - u. Let y be ((-21)/84)/(d/(-8)). Which is smaller: -9/19 or y? -9/19 Suppose 2*g = 3*r - 16, -53*g + 2*r = -56*g + 15. Is g >= -1/48737? True Let m = -235 - -140. Let r be (2 - (-1)/4)*(-3 + 2023/(-51)). Is m < r? False Let i be 40/30*11/((-110)/7785). Is i smaller than -1036? True Suppose j + 2*j = -2*w - 1020, -4*w - 1020 = 3*j. Let n = -3742/11 - j. Let a = 0.04 - -0.06. Are n and a nonequal? True Let l be (3/2)/((-65)/(-39) + (-131053)/78540). Which is smaller: l or -766? l Let p(h) = h**3 - 17*h**2 + 30*h + 4. Let x be p(15). Let c be x/12 + 35/7. Is c < 5? False Let r(g) = g**3 - 7*g**2 + 7*g - 5. Let n be r(6). Let k be (-8)/32*(-24)/(-3642). Are n and k nonequal? True Let f(p) = -3*p**2 + 3*p + 3. Let w be f(0). Let r be w + (-6 - (-405)/(-99)). Do 0.2 and r have different values? True Let a(b) = b**3 - 4*b**2 + 3*b - 5. Let k be a(3). Let n = -5 - k. Suppose -20 = -5*f, n*f - f = 3*w + 14. Is -6 not equal to w? False Suppose 109*q - 89*q = 0. Which is greater: q or 20/397? 20/397 Suppose -806*h = -845*h + 11700. Is 300 greater than h? False Let d(g) = g**3 + 14*g**2 + 13*g + 3. Let q be d(-13). Suppose 89 = -4*y + i - 261, -y = -q*i + 82. Is -90 != y? True Suppose -4*f + t + 26 = 22, -3*f = t + 11. Let s be ((-1)/2)/((-4)/920). Is f > s? False Let y = 9428 - 86128/9. Is -142 greater than or equal to y? False Let o(n) = -9*n**3 + 10*n**2 - 2*n + 10*n**3 - 12*n**2. Let w be o(3). Let p(f) = f**3 - 3*f**2 + 7. Let c be p(w). Which is smaller: 6 or c? 6 Suppose -4*a = -d - 17, 4*a = -0*a - 5*d + 35. Suppose a*q + 2*q - 1106 = 0. Is q less than or equal to 0.1? False Let o be 381786/(-25466) - 5*-3. Which is bigger: 1 or o? 1 Let s = 10 + -7. Suppose -4*z - 1 = 3*f - 21, 0 = s*z - 5*f + 14. Let y be -3 + (z - (0 + 0)). Is -3/14 at least as big as y? True Let t = -5.73 + -18.27. Which is smaller: -22/3 or t? t Let q = 123 - 120. Suppose 3*l - 16 = -5*p, 14 = p - q*p + 9*l. Is p at least as big as -0.037? True Let l = 51.2 + -2.2. Let d = -85 + l. Let f = d - -50. Which is smaller: -2/7 or f? -2/7 Let w(j) = -j**3 - 10*j**2 + 5*j - 31. Let r be w(-11). Let y = r + -25. Let i(d) = -d**2 + 10*d - 10. Let x be i(7). Which is smaller: y or x? y Let y = 6308.91809 - 6309. Which is greater: -1/3 or y? y Let f = 44.71 - 44. Let k = f - -0.26. Let a = k - 0.54. Is a > -0.1? True Let k be 8/14 - (19 - 7619/399). Which is bigger: k or 2/119? k Let x(f) = 228*f + 6578. Let q be x(-40). Which is bigger: q or -1? -1 Suppose 0 = 26*m + 2028 + 1690. Is m > -151? True Let k = 305 - 193. Let r = 112 - k. Do 1/48 and r have different values? True Let v = 106.215 + -106. Let i = -0.005 - v. Let j = 0.12 + i. Which is greater: j or -5? j Let s be 1422/(-21) + (-2)/7. Let v(o) = -o**3 - 4*o**2 - 11*o + 9. Let f be v(5). Let w = -339 - f. Does s = w? True Let w be (1 + -2)/((-3)/(-33)). Let k be 4*(-6)/2*w/44. Let l be 2/(18/(-7)*(-14)/k). Do 0 and l have the same value? False Let x be 2/5 + (-268)/(-30). Suppose -b - b + 2*h - 24 = 0, -3*h = -9. Let f(s) = -2*s**2 - 19*s. Let w be f(b). Which is smaller: x or w? w Let b = -83/36 + 23/9. Suppose 11*f = 3*f - 1408. Let t = f - -91. Is t equal to b? False Let h = -17009 + 16977.067. Let j = -1.536 + 1.603. Let y = j - h. Which is smaller: -2/3 or y? -2/3 Let x(d) = 2*d**2 + 6*d + 25. Let b be x(-9). Which is bigger: 137 or b? 137 Suppose q - 7*g = -6*g + 8, -2*g + 6 = 0. Suppose -2 - 9 = -q*f. Is 3/166 at least f? False Let c = 2956 + -3295. Which is smaller: -340 or c? -340 L
{ "pile_set_name": "DM Mathematics" }
57. Which is the second smallest value? (a) z (b) p (c) q c Let b = -10.3 - 28.7. What is the second smallest value in b, 3, 0.4? 0.4 Let z = -34 - -33.99. Let m = -0.99 + z. Which is the biggest value? (a) 1 (b) 0.04 (c) m a Let u = 2.02 - 2. Let c = 0.52 - u. Let m(z) = z + 2. Let t be m(-6). What is the third biggest value in c, 0.1, t? t Let o = 6 + -5.96. Let x be 5/(-3*5)*15. Suppose -5*d + 4*c = 5, -5*c + 40 = 2*d + 3*d. What is the smallest value in d, o, x? x Let y = 0.81 - -5.09. Let i = y + 0.1. Let h = i - 8. Which is the biggest value? (a) 0 (b) h (c) 1 c Let r be (1615/(-1140))/((-3)/4). Which is the second smallest value? (a) 0.3 (b) 2 (c) r c Let q = 1488 - 1490. Which is the third biggest value? (a) q (b) 1/21 (c) -4/5 a Let y = 65 - 324/5. Let u = 1321.21 - 1321. Which is the smallest value? (a) u (b) 1/8 (c) -0.1 (d) y c Let v = 65 + -70. Let n = -3324/11 + 302. What is the second biggest value in 0.1, n, v, -0.1? -0.1 Let p(r) = 3 - 18*r**2 + 9 - 13*r + 17*r**2 + 9. Let w be p(-15). Let n be w/12 - (-3 - -2). Which is the third biggest value? (a) -5 (b) n (c) 3/4 a Let q be 235/45 + 2/(-9). Suppose 3*z = -z + q*i - 50, -3*z - 40 = -5*i. Let w be 37/45 - (-6)/z. Which is the biggest value? (a) w (b) -2/11 (c) -5 a Let u(v) = -3*v - 20. Let l be u(-8). Suppose l*g = -4 + 20. Let c = -100/203 - -6/29. What is the second smallest value in -0.3, g, c? c Let u = 658 + -1975/3. Which is the third smallest value? (a) u (b) 4 (c) -0.14 b Let p = -2174 + 2172. Which is the second smallest value? (a) -3 (b) 3 (c) -121 (d) p a Let i = -0.0155 - -5.1055. Let m = -0.09 + i. Which is the biggest value? (a) -2 (b) 3 (c) m c Let l = -321.5 + 321. What is the third biggest value in 0.1, l, -0.4? l Let a = -0.16 + -0.04. Let j = -5.7 + -0.3. What is the smallest value in -4, j, a? j Suppose 0*l + 5*l + 3*d = -87, 4*l + 52 = 2*d. Let f = l - -11. What is the smallest value in f, 6, 5? f Let h = 0.9 + 0.1. Suppose -3*m - 21 = -3*t, -6*m + 2*t - 33 = -19. Which is the smallest value? (a) h (b) 5 (c) m (d) -0.4 d Let k = 1.07 + -1.17. Let q = 249072/7 + -35660. Let v = q + 78. What is the third biggest value in 0.09, v, k? v Let j = 305 + -306.9. What is the second smallest value in j, -3, 5? j Let g be 15/4 + (4 - 7). Let w = 24/11 + -131/55. Let u = 11 - 11.1. Which is the biggest value? (a) u (b) g (c) w b Let z = -73.65 + 0.65. Which is the smallest value? (a) 0 (b) z (c) 0.4 b Suppose -t + 3 - 2 = 0. Let j = 18.4 + 0.3. Let i = j - 19. Which is the second smallest value? (a) i (b) -2 (c) t a Let h = -53.72 + 5.42. Let z = h + 48. What is the third smallest value in -1/2, 5, z, 2/11? 2/11 Suppose -96*g = -103*g - 28. What is the third smallest value in 0.404, g, 0.1, 0.2? 0.2 Let h be 10/(-4)*2 + 0. Let u = 2/5 - 3/20. Let n = -11 + 7. Which is the third smallest value? (a) u (b) n (c) h a Let r = -1 - -2/3. Let w = 0.05454 - 4.05454. Which is the smallest value? (a) w (b) -0.3 (c) r a Let a = -1909/4 + 478. What is the second biggest value in a, 0.02, -0.1? 0.02 Let m be ((-4)/78*-3)/(-2). What is the fourth biggest value in -1, 1, 0.5, m? -1 Let d = 25468/17 + -1498. What is the fourth smallest value in -0.1, d, 1, -1/4? 1 Let j = -220 + 211.1. Let l = j - -8.5. What is the smallest value in l, 2/19, 3? l Suppose 2*w + 2*s = 16, 4*w - 3*s + s = 8. Suppose -4*x - 48 = -w*g, -3*x - 50 = 4*g - 9*g. Which is the biggest value? (a) g (b) 2 (c) 0.5 a Let h = 0.41 + -0.01. Let s = 1853.3 - 1853. What is the smallest value in h, -1, -0.3, s? -1 Let j be 89/14 + (-1)/(-2) - 7. What is the second biggest value in j, 1.2, -6? j Suppose -15*j + 65 = 5. What is the fourth smallest value in 1, -2/15, -2, j? j Let y(h) = h**3 - 7*h**2 + 6*h - 16. Let x be y(7). Suppose 4*u = x - 30. Which is the smallest value? (a) 5 (b) u (c) 7 b Let i = -1.47 - -1.17. Let m be (-128)/(-252) + 6/(-27). Which is the fourth smallest value? (a) i (b) 0.1 (c) 3 (d) m c Let w be 2 - 124*1/46. Let c = -2/69 - w. Let t = -166/5 + 33. What is the second biggest value in 1/6, c, t? 1/6 Let p = 2721 - 1892. Which is the second biggest value? (a) p (b) -5 (c) 1 c Let i = -19 - -13. Let m be (-57)/i - (-2)/(-4). What is the third smallest value in 1/8, -0.5, m? m Let r = 196.04 - 196. What is the second smallest value in 3/8, -7, -4, r? -4 Let z = -45 + 47. Suppose -2*n + 24 = -z*x + 6, -3*x + 9 = 3*n. Which is the third smallest value? (a) -3 (b) n (c) 0 b Let f be 1/((-5)/4) + 1692/2130. Let j = -363/1420 - f. Which is the second biggest value? (a) 0.4 (b) 0.5 (c) j (d) -3 a Let u = -9 - -7. Let b be u/27*(-6)/(-7). Let z = 307/126 - b. What is the smallest value in -5, z, -0.2? -5 Let s = 76 + -759/10. Let p = 19.6 - 33. Let f = -13 - p. What is the second smallest value in f, s, -3? s Suppose 4*x - 2*s + 196 = 0, -s = -3*x + 3*s - 142. Let h = 34 + x. Let t = h - -15. Which is the smallest value? (a) -3 (b) t (c) 5 a Let d = -9.05 + 4.05. Which is the third biggest value? (a) d (b) 0.2 (c) 1/248 a Let n = 9 + -9.3. Suppose -6*v + 26 + 52 = 0. What is the third smallest value in n, v, -1/2? v Let r be (4/8)/(1/60). Let j be 2/(-3) - r/9. Let s(p) = p**2 + 4*p + 3. Let f be s(j). Which is the third smallest value? (a) f (b) 2 (c) -3 a Let u be 0/(-2) - -1*2. Let t = -752.8 - -753. Which is the smallest value? (a) u (b) 3 (c) t c Let w = -40 + 19. Which is the third biggest value? (a) w (b) -1/3 (c) 2/3 a Let g = 10 + -9.2. Let u = 0.2 + g. Let x be (-3 + 69/21)/((-96)/(-84)). What is the second smallest value in -2/3, x, u? x Let i = 7.5 - 8. Let z = -9.75 - -8.75. Which is the biggest value? (a) z (b) -0.06 (c) i (d) 0.1 d Let o(d) = d**3 - 5*d**2 + 3*d - 1. Let m be o(5). Suppose 2 = -4*l - m. Which is the second biggest value? (a) 1 (b) -0.1 (c) l b Let d = -0.2415 - -0.0515. What is the third smallest value in 0.3, -2, 0.2, d? 0.2 Let v = 252 - 248. Which is the second smallest value? (a) 1/4 (b) -0.4 (c) v (d) -4 b Let j = -15.19 + 15.49. What is the third smallest value in j, -19, -4? j Let v = -28 - -25.6. Let f = v - -6.4. Which is the biggest value? (a) -2 (b) -4 (c) f c Let c(h) = -5*h**2 - 7*h - 2. Let q be c(-1). What is the second biggest value in 2, -2, q? q Let r = 1.8 - 2. Let y = -812 + 815. Which is the third smallest value? (a) -3/2 (b) y (c) r b Let n be 6 - ((-32)/10)/(44/(-110)). Which is the third smallest value? (a) n (b) -6 (c) -0.4 c Let o(q) = q**2 + 13*q + 14. Let l be o(-12). Let u be l + (6*-1 - 0). Let m be (-8)/10*6/8. Which is the third smallest value? (a) u (b) -3 (c) m c Suppose m = 6*m - 3*w - 4, -3*w + 14 = 4*m. Suppose -6 = m*q - 10. Suppose -1 = -2*l - 3. Which is the second biggest value? (a) l (b) q (c) 5/2 b Let d = -47 + 47.5. Let s = 0.6 - 0.4. Let t = s - 0.2. What is the second biggest value in d, t, 0.4? 0.4 Let v = 0.7 + -0.3. Let o be (50/(-8))/(21/112). Let a = o + 33. What is the biggest value in a, v, 2? 2 Let g = -240503/904 + 189/452. Let q = g + 266. Which is the third smallest value? (a) -2 (b) 5 (c) q b Let d = 3.9 + -4. Let r = d + -4.9. Let u be 1/(-3) - 48/(-9). Which is the second biggest value? (a) u (b) r (c) -0.3 c Suppose m - 2*v = -14 - 0, 3*m + 22 = 2*v. Let i = -19 + 21. Which is the third smallest value? (a) -3 (b) i (c) 5 (d) m b Let j = 2.5 + -0.2. Let v = j - -0.7. Let t = -1/44 + 3/11. What is the biggest value in -1/3, t, v? v Let d = 104 - 60. Let k = -42 + d. What is the biggest value in 4, -5, k? 4 Let s be 96000/(-630) + (-1)/3. Let c = s + 153. What is the fourth smallest value in 3, -2/7, -2, c? 3 Let f = -1565 + 1571. Which is the fourth biggest value? (a) 17 (b) f (c) 0.3 (d) 0.4 c Let q = -25.105 - -0.105. Let v = -25.2 - q. What is the second smallest value in -2, v, 2, 1/4? v Let t = 30 + -87. Let h = t + 61. Which is the fourth biggest value? (a) -3 (b) 3 (c) 0 (d) h a Suppose c + 8 = 3*k, -3*k + 9 = -4*c + 4. What is the third biggest value in -19, -2/15, -1/5, c? -1/5 Suppose -4844*p + 45 = -4841*p. Let q be -1 - ((-1)/3 - 1). Which is the third biggest value? (a) p (b) -0.1 (c) q b Let v be ((-9)/(-405))/(1/(-4)). Which is the third biggest value? (a) -0
{ "pile_set_name": "DM Mathematics" }
v. -25 Solve 5705*i = -5745*i + 11778*i + 28864 for i. -88 Solve -212 = -416*w + 266*w + 838 for w. 7 Solve -28*h = 44*h + 108*h + 436 - 4576 for h. 23 Solve 0 = -299*x - 69813653 + 69823221 for x. 32 Solve 22437*h - 581848 - 652187 = 0 for h. 55 Solve -9*q - 41*q + 16*q - 4930 = 51*q for q. -58 Solve 11401*g = 9628*g - 51417 for g. -29 Solve -30220*w - 30260*w = -60601*w - 7744 for w. -64 Solve 0 = -120*q - 143 - 944 - 713 for q. -15 Solve 4768*t = -62188 + 28812 for t. -7 Solve 0 = -3819*f - 3787*f + 7634*f + 112 for f. -4 Solve 80*t + 1586 - 240 = -2894 for t. -53 Solve 80013 - 23463 = 650*l for l. 87 Solve -31*v = -2608 + 1895 for v. 23 Solve -42*a - 1227 - 1356 + 735 = 0 for a. -44 Solve -337706*y + 337733*y = 2970 for y. 110 Solve 81292 - 84862 = -170*u for u. 21 Solve 39*m + 8 - 4 - 11 = -7 for m. 0 Solve 353*o + 174*o = 53*o + 27492 for o. 58 Solve -240*q + 1581 - 755 = 346 for q. 2 Solve 173*b + 5235 = 22881 for b. 102 Solve 52*k + 127*k + 12384 = 467*k for k. 43 Solve 1020*d + 54127 + 97673 - 4497 = 23883 for d. -121 Solve -323*s + 668*s + 1620 = 264*s for s. -20 Solve -755*f - 75*f + 53352 = -89*f for f. 72 Solve 179962 = -i + 179999 for i. 37 Solve 2*i - 5548 = -i + 76*i for i. -76 Solve 365*j - 3571 = 6334 + 11006 + 4274 for j. 69 Solve 3055 + 1209 = 36*a - 130*a + 146*a for a. 82 Solve 1254725 - 1235373 = 236*z for z. 82 Solve -534 + 400 - 5378 = -52*z for z. 106 Solve -10801 + 5744 = 610*k - 13597 for k. 14 Solve 539*s + 927*s + 15960 = -2524*s for s. -4 Solve 129 = -753*b + 717*b + 1065 for b. 26 Solve 40 = 80*p - 502 - 1458 for p. 25 Solve -9114*z + 23310*z = -667212 for z. -47 Solve 7*p + 63*p - 33*p - 703 = 0 for p. 19 Solve 5280*c - 16201 = -1037*c + 15810 + 31159 for c. 10 Solve 3341*a - 128974 = 41417 for a. 51 Solve 996*d + 14100 + 16630 = 94*d + 3670 for d. -30 Solve 711 = -74*q - 29 for q. -10 Solve -27*h - 217*h - 100*h = 12*h + 17088 for h. -48 Solve -1153*f - 3406 = 18271 + 15795 + 14413 for f. -45 Solve -12381 - 42444 = 3739*n + 3718*n + 139057 for n. -26 Solve -320*b = 145*b + b for b. 0 Solve 1168*c + 52*c - 64660 = 0 for c. 53 Solve -1282*o + 1102 = -2744 for o. 3 Solve -12*s + 17*s + 88*s = -3538 + 283 for s. -35 Solve 341*x - 678 + 716 - 590 = 2858 for x. 10 Solve 0*v = -88*v + 1563 + 285 for v. 21 Solve 490*v - 122*v + 48 = -331*v + 48 for v. 0 Solve -12646*n + 12494*n - 6232 = 0 for n. -41 Solve 1522*a + 378*a + 3916 = 332*a - 3924 for a. -5 Solve -100*s + 94*s + 75 = -165 for s. 40 Solve 208*u + 23306 = 89*u - 247*u - 176*u for u. -43 Solve 9325 = -116*d - 2107 + 4356 for d. -61 Solve 698*h + 266*h = -h + 27985 for h. 29 Solve -673*t = 42*t + 28*t + 18575 for t. -25 Solve -487 + 2909 + 2700 = 2561*g for g. 2 Solve -80042 = 794*r + 1788*r for r. -31 Solve -343*j = 12477 - 472 for j. -35 Solve -209*x - 6*x + 8823 = 3688 - 4970 for x. 47 Solve -7906*h - 596387 + 39775 - 688316 + 296208 = 0 for h. -120 Solve -648*w - 494*w + 36660 + 37570 = 0 for w. 65 Solve 83*i + 11655 = 17*i - 138*i - 381 for i. -59 Solve -4493 - 3294 = -2054*f + 65781 - 7840 for f. 32 Solve -1630*r - 11979 + 67399 = 0 for r. 34 Solve 739 + 737 = -112*l - 5222 + 1098 for l. -50 Solve 372*n - 2431*n = 17953*n + 860516 for n. -43 Solve -5628*a + 21789 - 834520 = 5790*a - 81979 for a. -64 Solve -49*o - 2948 + 3928 = 0 for o. 20 Solve 166*n + 9092 + 1184 = -257*n + 56*n for n. -28 Solve 7796 = -584*q - 4644 - 9168 for q. -37 Solve -62*m - 77*m = -234*m + 75*m + 1640 for m. 82 Solve 16312 - 11937 = -612*z - 26225 for z. -50 Solve -8467*t + 4913 = -8599*t - 235 for t. -39 Solve 0 = 743*s - 11177184 + 11252970 for s. -102 Solve -2822*s + 88827 = 216 - 38098 + 2541 for s. 44 Solve -5012*q - 11899 = -5175*q for q. 73 Solve -319*s - 15276 = 327*s + 158*s for s. -19 Solve -44*a - 6972 = -2403 - 2633 for a. -44 Solve 575*m = -728*m - 537*m - 99360 for m. -54 Solve 17505 = 1548*h - 2715*h for h. -15 Solve -840 = -3599*a + 3539*a for a. 14 Solve -51*i - 556 - 324 = 191 for i. -21 Solve -70*f + 367*f = -402*f - 42639 for f. -61 Solve 194*k - 14328 = -75*k - 34*k + 104*k for k. 72 Solve 566 - 235 + 287 = 6*s for s. 103 Solve 1168*c - 205*c - 667*c = 8584 for c. 29 Solve 4830*t + 3867*t - 854*t + 588225 = 0 for t. -75 Solve -308*u + 283*u - 12441 = -140*u - 262*u for u. 33 Solve 19127 - 18542 = 45*y for y. 13 Solve -211 = 106*g - 15218 + 1757 for g. 125 Solve 6*w + 69*w + 11966 = 461*w for w. 31 Solve 222*g - 960*g = -437*g + 31304 for g. -104 Solve 3571*j = 3053 - 13766 for j. -3 Solve 346*t - 3*t + 22876 = -189*t for t. -43 Solve 143*z - 2064 - 2701 = -148*z + 13568 for z. 63 Solve 0 = 214*f - 82*f - 63*f for f. 0 Solve 171*s + 3308 = -40*s - 1519 + 607 for s. -20 Solve 120091 - 32791 = -2425*k for k. -36 Solve 7761*c - 22571*c + 938875 - 779166 + 1247241 = 0 for c. 95 Solve 119*u + 43794 = -360*u - 332*u for u. -54 Solve 0 = 255*b - 49*b + 37*b + 2916 for b. -12 Solve 3595723*x + 9953 = 3595992*x for x. 37 Solve -6072*q + 6022*q = 2850 for q. -57 Solve -14749 = 15358*o - 15659*o for o. 49 Solve 0 = -112557*k + 112715*k + 3062 + 256 for k. -21 Solve 1234*p + 298*p + 1307*p = 848*p + 43802 for p. 22 Solve 4768096*c + 1400 = 4768076*c for c. -70 Solve -5005 - 20849 = 145*p + 433*p + 40038 for p. -114 Solve 0 = 120*t + 211*t + 21855 - 7622 for t. -43 Solve -12749*u + 648328 + 103863 = 0 for u. 59 Solve -3410*j - 10172 + 5406 = -3555*j + 6544 for j. 78 Solve -96*l + 2777 = 42*l - 1363 for l. 30 Solve 2888 = -131*s - 7985 for s. -83 Solve -1147611*a - 2176 = -1147579*a for a. -68 Solve -827*m - 102145 = -21926 for m. -97 Solve 1769*y - 1787*y + 756 = 0 for y. 42 Solve 73*u - 39 = 130*u - 70*u for u. 3 Solve -95*h + 341*h + 156*h - 157*h = -393*h for h. 0 Solve -2777 = 88*q + 3788 - 1549 for q. -57 Solve 1442*m + 585*m - 73592 = -611*m - 5004 for m. 26 Solve 305552 - 305162 = -26*a for a. -15 Solve 0 = -739*h - 565 - 1652 for h. -3 Solve -449*v - 1092 = 1602 for v. -6 Solve -957*f + 3485*f = -293*f - 296205 for f. -105 Solve 118*g - 5559 = 2565 + 372 for g. 72 Solve -505*v - 317 = -10216 - 6794 + 2553 for v. 28 Solve -1793*n + 893*n = -887*n + 451 + 225 for n. -52 Solve -25351 = -1059*y - 331*y + 30249 for y. 40 Solve -127*r + 3489 = -5274 for r. 69 Solve -49983 - 3818 = 737*s for s. -73 Solve 0 = 28809*a - 29278*a - 21105 for a. -45 Solve -470850 = 504*g - 432546 for g. -76 Solve 19*f + 500016 - 499275 = 0 for f. -39 Solve -55148 = -293*y - 133*y - 811 + 4877 for y. 139 Solve 14362*n = 14397*n - 1820 for n. 52 Solve 41*u = -357*u + 82*u + 23068 for u. 73 Solve 558469 = 468*b + 583741 for b. -54 Solve 0 = -690*s + 754*s + 2496 for s. -39 Solve 310*t + 1035*t = -87*t - 354*t - 107160 for t. -60 Solve -60*n + 52*n - 31*n = -1209 for n. 31 Solve -3*h - 176*h - 7055 = 34*h - 239 for h. -32 Solve -11*b + 182 - 9 = -80 for b. 23 Solve 12*t = 15 - 121 - 98 for t. -17 Solve 0 = 2085*l + 66368 + 25372 for l. -44 Solve -74*c - 1129 = 247 + 1584 for c. -40 Solve 278*v - 1045*v - 56200 = 357*v for v. -50 Solve 1061*u - 47*u + 21372 = -2548*u for u. -6 Solve 148090 = 155*d + 135225 for d. 83 Solve 0 = 2364*u + 2858*u + 357860 + 28568 for u. -74 Solve 201*d - 36*d - 21373 = -154*d for d. 67 Solve 20040 = 1532*o + 6252 for o. 9 Solve -92396 = -3756*q - 16290 + 55354 for q. 35 Solve -6755*m + 1530 = -6721*m for m. 45 Solve 25*j - 6521 = -7696 for j. -47 Solve 3475*v - 3553*v = -3510 for v. 45 Solve -5004*n = 1164*n + 178872 for n. -29 Solve 934*x + 982*x - 2845*x = -982*x - 2968 for x. -56 Solve 1214*b + 3691 + 9723 = 2488 for b. -9 Solve 3997*i + 1928*i + 48840 = 103132 + 70133 for i. 21 Solve 15691*f + 160002 - 1057164 = 938685 for f. 117 Solve -70*p + 96*p - 73*p = 55*p - 1428 for p. 14 Solve -29*n = -300*n - 26*n - 17798 + 572 for n. -58 Solve -269*s - 53*s + 26*s - 7992 = 0 for s. -27 Solve 1729*g - 166*g + 30060 - 25371 = 0 for g. -3 Solve 44*r + 239 = 1 - 36 + 54 for r. -5 Solve -1050*r = 1805*r - 2021*r - 48372 for r. 58 Solve -645258 = -6068*k - 1801*k for k. 82 Solve 747 = -253*s + 76*s + 523 + 2702 for s. 14 Solve 0 = 5445*n - 5040*n - 17415 for n. 43 Solve -1307*q = 54479 - 8734 for q. -35 Solve 435*p - 249704 - 6376 = -3445*p for p. 66 Solve -344*a - 17*a - 22*a = 3830 for a. -10 Solve 0 = 23*v - 3896 + 3597 for v. 13 Solve -78*b - 3190 + 1460 = 180*b + 4462
{ "pile_set_name": "DM Mathematics" }
number? False Is 26099 a composite number? False Is 126913 prime? True Is 2531 prime? True Is 35681 a composite number? True Is 521141 a prime number? False Is 373937 composite? False Is 380678 a composite number? True Is 97423 prime? True Is 1193 composite? False Is 7118797 a composite number? True Is 38271 composite? True Is 325087 a composite number? True Is 289223 composite? True Is 45763 a composite number? False Is 1053319 a prime number? True Is 192329 composite? True Is 53293 composite? True Is 16941 composite? True Is 98339 a prime number? False Is 5953 a prime number? True Is 45737 composite? False Is 2974931 a composite number? False Is 7669 a composite number? False Is 18533 a composite number? True Is 332533 composite? True Is 421891 a prime number? True Is 1640461 composite? False Is 4703 composite? False Is 631487 composite? False Is 15529 a prime number? False Is 88211 a composite number? False Is 4529521 a prime number? True Is 31511 a prime number? True Is 120949 a composite number? True Is 86561 composite? False Is 24031 prime? False Is 17735 a composite number? True Is 1561 composite? True Is 309359 a composite number? False Is 449 prime? True Is 11777 prime? True Is 88171 prime? False Is 222941 prime? True Is 72967 prime? False Is 4133 a composite number? False Is 5437 a composite number? False Is 7621 a composite number? False Is 110989 composite? False Is 56107 a composite number? True Is 22837 prime? False Is 78311 composite? False Is 25867 a prime number? True Is 41119 a composite number? True Is 73561 a prime number? True Is 3037 a composite number? False Is 35783 composite? True Is 197981 a prime number? False Is 319 a prime number? False Is 40757 prime? False Is 23417 a composite number? False Is 547 a prime number? True Is 8441 a composite number? True Is 25561 a prime number? True Is 82939 a composite number? False Is 9487 a composite number? True Is 260054 prime? False Is 107993 prime? False Is 28813 composite? False Is 692673 prime? False Is 11707 composite? True Is 68437 prime? True Is 9577 a prime number? False Is 14969 a prime number? True Is 97073 composite? False Is 45515 prime? False Is 29989 a prime number? True Is 1459993 prime? True Is 3137 composite? False Is 234833 a prime number? True Is 2099 a prime number? True Is 131207 a prime number? False Is 101731 a composite number? True Is 362381 a composite number? False Is 93523 composite? False Is 354533 prime? True Is 473741 prime? True Is 123817 a composite number? False Is 305063 a composite number? True Is 813553 composite? True Is 8491 prime? False Is 270773 prime? False Is 24545 composite? True Is 1176457 a prime number? False Is 934783 a composite number? True Is 1348943 a prime number? False Is 13427 composite? True Is 20885 a composite number? True Is 2503 composite? False Is 8039 prime? True Is 32539 a prime number? False Is 189851 a composite number? False Is 49739 prime? True Is 1888723 a prime number? True Is 1117 composite? False Is 4327 composite? False Is 12791 a prime number? True Is 558835 composite? True Is 32117 a prime number? True Is 2333 composite? False Is 1133105 a composite number? True Is 89877 composite? True Is 88099 a composite number? True Is 6743 a prime number? False Is 1399 a prime number? True Is 3250267 prime? False Is 55259 a composite number? False Is 122635 composite? True Is 20789 a composite number? False Is 50111 a prime number? True Is 129209 a composite number? False Is 8775233 a composite number? False Is 1084493 a prime number? True Is 288877 a prime number? True Is 14609 composite? True Is 1117 a composite number? False Is 82883 composite? False Is 1141303 a prime number? True Is 323393 composite? True Is 21247 prime? True Is 496733 a prime number? True Is 81119 a prime number? True Is 23531 a prime number? True Is 4801 a composite number? False Is 60493 prime? True Is 21587 prime? True Is 110221 prime? True Is 2075221 composite? True Is 40387 a prime number? True Is 552047 prime? True Is 33481 prime? False Is 35879 a prime number? True Is 132747 prime? False Is 941417 a prime number? False Is 55313 composite? False Is 128479 a composite number? True Is 5581 a prime number? True Is 3316713 prime? False Is 37831 a prime number? True Is 135887 prime? True Is 2705 a composite number? True Is 40693 composite? False Is 1911961 prime? True Is 22735 composite? True Is 11002 a prime number? False Is 20011 a composite number? False Is 6373 a prime number? True Is 8567 composite? True Is 4201 composite? False Is 464073 a prime number? False Is 9655 composite? True Is 17233 a composite number? True Is 69061 a composite number? False Is 3943 prime? True Is 1763 prime? False Is 3881 composite? False Is 156941 prime? True Is 161453 prime? True Is 1020758 a composite number? True Is 28109 a prime number? True Is 2018 a composite number? True Is 60869 composite? False Is 29551 a prime number? False Is 14051 a composite number? False Is 411659 a prime number? False Is 102761 prime? True Is 31247 composite? False Is 11283 a prime number? False Is 464361 composite? True Is 67121 a composite number? False Is 29459 composite? True Is 47939 a prime number? True Is 3433 prime? True Is 680123 a prime number? True Is 185303 a composite number? False Is 17467 composite? False Is 23159 prime? True Is 100999 a composite number? False Is 26339 a prime number? True Is 2908553 composite? True Is 5749 prime? True Is 144869 a composite number? True Is 7897 prime? False Is 4174 a prime number? False Is 4957 a composite number? False Is 5065109 a composite number? True Is 30445 composite? True Is 60811 prime? True Is 2086853 a composite number? False Is 593329 prime? False Is 734309 a prime number? False Is 79367 prime? True Is 3251 prime? True Is 25989 composite? True Is 134611 composite? True Is 65687 a prime number? True Is 511 prime? False Is 17417 a composite number? False Is 537703 prime? True Is 210347 composite? False Is 7121 prime? True Is 222715 a prime number? False Is 11777 a prime number? True Is 122357 a prime number? False Is 2521 a prime number? True Is 317827 a composite number? False Is 12633 a composite number? True Is 194851 prime? False Is 2453 composite? True Is 347 a composite number? False Is 453053 composite? False Is 969739 composite? True Is 116317 composite? True Is 6803 prime? True Is 24047 composite? True Is 3491 a prime number? True Is 3967 composite? False Is 1757881 composite? False Is 124438 composite? True Is 796891 a prime number? False Is 107047 a prime number? False Is 308285 composite? True Is 3153 prime? False Is 2999 prime? True Is 80021 a prime number? True Is 2475995 a composite number? True Is 1047229 prime? True Is 273641 composite? False Is 200071 composite? True Is 1517813 prime? False Is 1492385 a composite number? True Is 356203 prime? False Is 256049 composite? False Is 439903 a prime number? True Is 482851 prime? False Is 9029 a composite number? False Is 158741 composite? True Is 4583 a prime number? True Is 2168291 prime? True Is 1969 a prime number? False Is 3407 a prime number? True Is 1679998 a prime number? False Is 2371 a composite number? False Is 10331 composite? False Is 3641 composite? True Is 16349 a prime number? True Is 23341 a prime number? False Is 1097 composite? False Is 55343 prime? True Is 592447 a composite number? True Is 6227 a composite number? True Is 10061 prime? True Is 469 composite? True Is 53437 composite? False Is 397 a composite number? False Is 4177 a composite number? False Is 2203 composite? False Is 204791 prime? True Is 2627323 composite? True Is 7283 prime? True Is 33023 a composite number? False Is 771409 a prime number? False Is 29261 a prime number? False Is 42323 composite? False Is 28387 a composite number? False Is 1226411 a composite number? True Is 909451 composite? False Is 13549 composite? True Is 2503 composite? False Is 7177 a composite number? False Is 1793 a prime number? False Is 106 prime? False Is 20486 a prime number? False Is 18431 composite? True Is 334093 a prime number? True Is 720019 prime? True Is 18839 composite? False Is 17377 a composite number? False Is 26591 a prime number? True Is 1370613 a composite number? True Is 2361
{ "pile_set_name": "DM Mathematics" }
? 14 -4 + -10 + 7 + (28 - 14) 7 Calculate 2 + 3 - (-8 + 9 + -3) - 7. 0 Calculate 9 - 1 - (-16 - (-23 - -16)). 17 Evaluate -26 + 21 - -9 - (1 - -4). -1 Calculate -45 + 22 + 12 + -1 + 8 + 20. 16 What is the value of -1 + (-13 - -4) + 8 - -1 - -5? 4 9 + (-35 + 29 - -19) 22 Evaluate -150 + 183 - (5 - -29). -1 96 + -78 - (-1 + 7) 12 What is the value of (-10 - (-29 + 22)) + 10? 7 What is 18 + 1 + -112 + 98? 5 What is -1 - 8 - (156 + -158)? -7 -17 + -43 + 75 + (1 - (-1 - -2)) 15 Evaluate -3 + (28 - 44) + 39. 20 Evaluate 8 - (1 - -2 - (23 - (-24 + 46))). 6 What is (-10 - -40 - (0 + 4)) + -9 - -3? 20 Evaluate 26 - (16 + -25 + 34). 1 What is -6 + 1 + -4 + 0 + 0 + 9? 0 Evaluate -22 + 46 + 11 + -19. 16 Calculate 12 - (-8 - 0 - (-44 + 36)). 12 5 + (2 - (-3 - -7) - (-9 - -27)) -15 Calculate 6 + 5 + -5 - (-3 + -4 + 1). 12 -15 - (22 - (-21 + 42)) -16 Calculate (10 - 21) + -17 + 18 + (4 - 1). -7 13 + (4 - 8) + -2 + 3 10 12 - (25 + -9 + -3) -1 What is -10 - -3 - 1 - (-76 + 54)? 14 Evaluate 3 + -1 + -13 + 6 - 3 - 10. -18 What is (-8 + (-8 - -24) - 1) + 1? 8 Evaluate 77 + -25 + -57 + -30 + (1 - 1). -35 What is the value of (43 - 101) + (44 - 3)? -17 What is the value of (-34 + -9 - -33) + 16? 6 Calculate (2 - (-1 - -1)) + (20 - 36 - -5). -9 What is 3 - (-10 - -1 - (-48 - -41))? 5 Evaluate 0 + (-7 - -14) - 9. -2 What is the value of -5 + -3 + 1 - (3 + 3)? -13 Evaluate -6 - (10 + (-1 - 10)). -5 Calculate -9 + 10 - (-2 + -7) - (-1 + 2). 9 (7 - -1) + -2 - -14 - (0 + 5) 15 Calculate 1 + (-1 - (7 - 13) - -6). 12 Calculate -3 - (-2 + 3 + -12). 8 -1 + (-5 - (-14 - -8) - -3 - -6) 9 Evaluate 31 + -21 + (0 - (1 - -21)). -12 (2 - 7) + (5 - (-4 + -4)) 8 What is -222 + 272 - (15 + -1) - 11? 25 What is (-44 - 3) + 0 + (-323 - -341)? -29 Evaluate 33 + 17 + -6 + -13. 31 Calculate -12 + (-9 - -2) + (0 - (-1 + 2)). -20 What is (-2 - (-22 + 2)) + (53 - 59)? 12 What is -1 + (6 - (3 + 0)) + (434 - 462)? -26 What is (-32 + 67 - 26) + -5 + 1 + -18? -13 What is the value of 320 + -327 + (-9 - 0) + -1? -17 What is 6 + -15 + (-54 - -60) - (-10 - 3)? 10 What is the value of (1 - (0 + 1)) + 524 + -522? 2 What is 127 + -122 + -13 + 0? -8 What is 0 - ((-7 - -37) + -11) - 5? -24 Evaluate 18 - (10 - (-6 + 10) - -8). 4 12 - (32 - 11 - 6) -3 Calculate 3 + 2 - (0 - -8 - (2 - -15)). 14 What is the value of (11 - (43 - 17)) + (-4 + 1 - 7)? -25 What is -14 + 4 + (6 - (-3 + 2) - 9)? -12 Evaluate (-10 - 29) + 12 + 14. -13 -34 + -4 + (-11 - -5 - -13 - -8) -23 Calculate 18 + -2 + -2 + -1. 13 Evaluate -20 + (32 - 16) - -1. -3 Calculate 20 + -12 + (2 - (-15 + -5 + 7)). 23 Evaluate 1 + -5 - (138 + -156). 14 (1 - 14) + -18 + 24 - 6 -13 Evaluate (-17 + 8 + 18 + -7 - -6) + 4. 12 Calculate 13 + (4 - ((5 - 8) + 1) - 6). 13 What is the value of -21 - (-42 - (-15 + -2))? 4 (17 - 16 - 16) + (-1 - -7) -9 -9 + 13 + -6 + (-3 - 0 - -2) -3 What is the value of 9 - (-1 + (21 + -8 - 5))? 2 Calculate 6 + 25 + -36 + (-11 - 0). -16 Evaluate -45 + 68 - (9 - -1). 13 What is the value of -8 + (1 - 4) + 4 - 5? -12 15 + -2 + -9 - (-11 + 28) -13 Evaluate -25 - ((-13 - 1) + 6 - -1). -18 Evaluate (2 - 14) + -15 + 28. 1 Calculate 4 + (-10 - 10 - -10) - -9. 3 Evaluate 55 - 57 - (8 - 1) - 12. -21 7 - -6 - (15 - (13 + -14)) -3 What is (15 - -14) + 2 + (2 - 6)? 27 What is the value of -13 + 23 + 3 + 16? 29 Calculate 1 + 1 + 3 + 4. 9 Calculate 22 - -47 - 57 - (-1 - (-8 - 2)). 3 22 - ((-19 - -27) + 19) -5 Evaluate 0 - -14 - (19 + 47 - 84). 32 What is the value of 1 + 0 - (8 + (7 + -17 - 3))? 6 Evaluate 17 + (-22 - -41 - 31). 5 (1 + 2 - -2) + (13 - (-9 - -17)) 10 Evaluate (14 - -5) + -12 + 5 + -2. 10 Evaluate -118 + 104 - (-2 - (1 - -1)). -10 What is the value of (27 - 16) + -55 - -46? 2 What is the value of (1 - 24) + (-5 - 4 - 1 - -1)? -32 2 - (1 + -3 + 2) 2 -23 + 13 + -9 + 20 1 What is the value of -7 - -4 - (4 + 0) - (-5 + 15)? -17 Evaluate -14 + -16 + 36 + -12. -6 What is (15 + -29 - -14 - 0) + -26? -26 What is the value of -18 - (-17 + 13 + -14)? 0 Calculate -21 - (-6 + 5 + -10). -10 What is the value of 2 - (16 - (1 + 3 + 0 + -5))? -15 What is 1 + -1 + (17 + -15 - 17) - -3? -12 What is 0 + -4 + (-29 - ((2 - 12) + -3))? -20 4 - (-6 + (-5 - -1) - -16) -2 Calculate 19 + 26 + 31 + -87. -11 What is (-13 - -1) + 45 + 11 + -42? 2 What is (15 - (15 - 8)) + -9? -1 What is -4 + -6 - (1 + -6 + 8 + -8)? -5 What is (-9 + 1 - 8) + (0 - -2) - -1? -13 What is the value of (30 - 9 - 16) + -1 + 1 + -13? -8 (-14 - -32) + (5 - 1 - 3 - 5) 14 Calculate 15 + -31 + 16 + -11. -11 Evaluate 29 + -153 + 139 + -2 + 7. 20 -9 - ((-23 - -12) + 14 + -7 - -11) -16 What is the value of 1 + -3 - 4 - (31 - (82 - 13))? 32 Evaluate ((0 - -3) + -59 + 56 - -7) + -1. 6 Calculate (2 - 4) + -89 + 73. -18 What is the value of -23 + 60 + -37 + -9? -9 Evaluate -1 + (8 - 1) - (25 + -71 + 40). 12 What is 121 - 125 - (-1 - (-3 - 11))? -17 What is ((-1 - -6) + -1 - 14) + -4? -14 What is the value of 2 + -23 + 0 - (-12 + 1)? -10 What is the value of (-1 - (-10 + -1)) + 25 - 13? 22 What is -16 + 10 - ((66 - 66) + 1 + 9)? -16 Evaluate (-20 + 43 - 30) + 2 + 14 + 2. 11 Calculate 14 - (-5 + 23 + -3). -1 Evaluate (-1 - (4 + 0)) + -149 + 144 - -46. 36 What is (18 - -4) + 15 + -2 + -12 + 4? 27 (16 - (-3 - -8)) + (-2 + -5 - 0) 4 Calculate -398 + 416 - (-1 - 0). 19 Calculate (18 - -1) + -11 + (12 - 8) + 1. 13 Calculate (14 + -3 - 3) + 5. 13 What is -44 - (11 + 28 + -52)? -31 What is the value of -69 - -75 - (-2 - -1 - -3) - 13? -9 What is the value of -125 - -139 - (7 + 3)? 4 What is the value of -19 - (-26 - (-17 - -11))? 1 What is the value of -21 + (-21 + 18 - -33)? 9 What is 2 - (-1 + 1 + (10 + -8 - 0))? 0 What is the value of 0 - 9 - (-40 + 23 + 12)? -4 420 + -380 - (-4 - -13) 31 Evaluate -6 - (-13 + 3 - (17 - 34)). -13 0 + (-9 - -1) - (-27 + 14 + -13) 18 15 - (19 + -34 - -12) 18 Calculate -7 - (3 + 3 + -23). 10 What is the value of (-9 + 9 + -16 - -16) + -16? -16 What is the value of -1 + 6 - ((-6 - 1) + 20)? -8 What is -10 - (12 - 10) - (-1 + -1 - 16)? 6 Calculate -6 - (-27 - (14 + -13 + (0 - 5))). 17 What is the value of -62 + 32 - (-35 - -7)? -2 Evaluate 63 + -42 + -3 + -5. 13 What is the value of 14 + (3 - 19) + -8? -10 -4 + (-9 - -8) + 9 + -3 1 Evaluate (2 - ((-4 - -34) + -2)) + (116 - 111). -21 4 - -1 - (-5 - (-6 - 3) - -8) -7 Evaluate (3 - 15) + 1 + -5 - -10. -6 735 + -723 + 2 + (2 - (0 + -3)) 19 Calculate -1875 - -1871 - ((0 - -1) + -2 - 0). -3 What is (1 - (1 + 5)) + -10 + (-3 - -2)? -16 What is -1 - -14 - (-832 + 844)? 1 Evaluate -11 + (-5 - (-11 + 0 + 6 + 7)). -18 Calculate 856 - 886 - (-8 - -1). -23 -1 + 7 - (-7 - (13 - 13) - -7) 6 What is the value of 1 + 6 - (-13 - -5 - -11)? 4 Evaluate -3 - (5 + (-2 + 3 - -13 - 1)). -21 What is 20 - (9 - 17) - 20? 8 (4 - (4 - 9)) + 5 + -8 + 3 9 What is the value of (19 - 6) + -16 + 32 + -12? 17 Calculate (-13 - -7) + -4 - (-22 - -3). 9 Calculate -8 + (16 - (-7 - -5)) - (-25 - -28). 7 What is (46 - (-2 + 31)) + 10? 27 What is -21 + -3 + 16 + -8 + 3? -13 2 + 3 - -1 - (0 - 19 - -14) 11 What is the value of 230 + -215 - (22 - -1) - (1 - -6)? -15 Evaluate -47 + 2 - (-97 - -78). -26 Evaluate -1 + 48 - (203 + -173). 17 Evaluate (-2 - 7) + -6 + 21. 6 Calculate 123 + -101 + (-13 - 0) + 3 + -1. 11 What is the value of -7 - (2 - 2) - -2 - (0 - -6)? -11 Evaluate 4 - (20 + -22 - -15). -9 What is the value of -8 + (5 + 1 - ((-33 - 6) + 38))? -1 -23 - -51 - 25 - (-3 + -1) 7 Calculate -35 + 33 + (0 - -1 - 7) + 4. -4 (2 - (4 - -11 - 13)) + -3 + 9 6 Calculate -1 + 4 + 34 + -41. -4 What is the value of 5 + -4 + 1 + 6 + 19 + -19? 8 Calculate -11 - 2 - (28 + -49 - -9). -1 Calculate 12 - (14 + -4) - -16 - 4. 14 1 + (5 - 3) + 12 + 17 + -28 4 (-16 - -11) + 25 + -31 + 2 + -1 -10 Calculate -6 + (-6 - -3) + -23 + (14 - 9). -27 What is (1 - 7) + (730 - 708) + -1 + -11? 4 Evaluate -6 + -3 + 22 + 0. 13 (-50 - -19) + -1 - -17 -15 What is 7 + (-9 - (14 - (7 - (2 - 1))))? -10 What is -1 + 4 + -2 + (40 + -1 - 61)? -21 What is -3712 + 3724 + (-48 - (0 + -1))? -35 Calculate -25 + (-24 - -14 - -17) - (-2 + 7). -23 (-7 - -1) + 59 + -67 + 11 + -5 -8 16 + -4 - 12 - -14 14 12 + 3 + 3 + -18 0 Calculate (0 - -23) + (921 - 951). -7 Evaluate -40 - (4 + -1 + (24 - 37)). -30 Evaluate -5 + (6 - (-5 - -7) - -8) + 8. 15 -1 + 2 + -4 + 6 + -3 0 Evaluate 6 + 10 + (31 - 63 - -15). -1 What
{ "pile_set_name": "DM Mathematics" }
-217, -226, -239, -256, -277, -302? -2*j**2 + j - 211 What is the c'th term of 24, 57, 90? 33*c - 9 What is the d'th term of 20, 6, -8, -22, -36, -50? -14*d + 34 What is the r'th term of -53, -57, -73, -107, -165, -253, -377, -543? -r**3 + 3*r - 55 What is the l'th term of 1, 14, 13, -8, -55, -134, -251? -l**3 - l**2 + 23*l - 20 What is the y'th term of 127, 132, 137, 142, 147? 5*y + 122 What is the u'th term of -56, -103, -150, -197, -244? -47*u - 9 What is the s'th term of -177, -123, 27, 321, 807, 1533, 2547, 3897? 8*s**3 - 2*s - 183 What is the y'th term of -9, -23, -43, -69? -3*y**2 - 5*y - 1 What is the l'th term of 253, 507, 761? 254*l - 1 What is the v'th term of 6, 16, 34, 60? 4*v**2 - 2*v + 4 What is the k'th term of -81, -108, -191, -360, -645, -1076? -5*k**3 + 2*k**2 + 2*k - 80 What is the o'th term of 6, 31, 56, 81? 25*o - 19 What is the m'th term of 27, 132, 307, 552, 867, 1252, 1707? 35*m**2 - 8 What is the s'th term of 13, 29, 59, 103? 7*s**2 - 5*s + 11 What is the u'th term of -108, -442, -1000, -1782, -2788, -4018? -112*u**2 + 2*u + 2 What is the g'th term of 8, 35, 70, 107, 140, 163, 170, 155? -g**3 + 10*g**2 + 4*g - 5 What is the s'th term of 12, 23, 32, 39, 44, 47? -s**2 + 14*s - 1 What is the h'th term of -45728, -45724, -45718, -45710, -45700, -45688, -45674? h**2 + h - 45730 What is the y'th term of 40, 101, 160, 211, 248, 265, 256, 215? -y**3 + 5*y**2 + 53*y - 17 What is the t'th term of -7, -21, -45, -79? -5*t**2 + t - 3 What is the y'th term of 4104, 4096, 4084, 4068, 4048, 4024? -2*y**2 - 2*y + 4108 What is the d'th term of -24, -74, -148, -246, -368, -514, -684? -12*d**2 - 14*d + 2 What is the c'th term of -63, -48, -9, 66, 189, 372? 2*c**3 + c - 66 What is the l'th term of -11, -9, 17, 79, 189? 2*l**3 - 12*l - 1 What is the t'th term of 15080, 15078, 15076, 15074, 15072, 15070? -2*t + 15082 What is the x'th term of -259, -2236, -7607, -18070, -35323, -61064, -96991? -283*x**3 + x**2 + x + 22 What is the k'th term of -59, -92, -101, -80, -23, 76, 223? k**3 + 6*k**2 - 58*k - 8 What is the g'th term of 629, 1249, 1869, 2489? 620*g + 9 What is the i'th term of -85, -74, -63, -52, -41? 11*i - 96 What is the h'th term of -123, -234, -357, -498, -663, -858, -1089? -h**3 - 104*h - 18 What is the x'th term of 501, 988, 1457, 1902, 2317, 2696? -x**3 - 3*x**2 + 503*x + 2 What is the n'th term of 344, 345, 346, 347? n + 343 What is the h'th term of -232, -263, -296, -331, -368? -h**2 - 28*h - 203 What is the m'th term of -950, -947, -944, -941, -938, -935? 3*m - 953 What is the h'th term of -31, -9, 31, 95, 189, 319, 491? h**3 + 3*h**2 + 6*h - 41 What is the n'th term of 12, -1, -14? -13*n + 25 What is the r'th term of 616, 603, 590, 577? -13*r + 629 What is the x'th term of 16, 53, 130, 259, 452, 721? 2*x**3 + 8*x**2 - x + 7 What is the k'th term of -370, -372, -374, -376, -378? -2*k - 368 What is the h'th term of -19, -59, -129, -229, -359, -519, -709? -15*h**2 + 5*h - 9 What is the g'th term of 636, 1269, 1904, 2541, 3180? g**2 + 630*g + 5 What is the f'th term of -932, -1872, -2814, -3758, -4704? -f**2 - 937*f + 6 What is the n'th term of 3184, 3188, 3194, 3202, 3212? n**2 + n + 3182 What is the b'th term of -80, -86, -92? -6*b - 74 What is the u'th term of 100, 180, 258, 334, 408, 480, 550? -u**2 + 83*u + 18 What is the s'th term of 2461, 4922, 7383, 9844? 2461*s What is the i'th term of -26, -81, -174, -305, -474? -19*i**2 + 2*i - 9 What is the g'th term of 3, 9, -9, -75, -213, -447, -801, -1299? -4*g**3 + 12*g**2 - 2*g - 3 What is the f'th term of 93, 288, 621, 1098, 1725, 2508, 3453? f**3 + 63*f**2 - f + 30 What is the j'th term of -17, -44, -71, -98, -125? -27*j + 10 What is the r'th term of 5, -3, -13, -25, -39, -55? -r**2 - 5*r + 11 What is the n'th term of 948, 1879, 2810? 931*n + 17 What is the o'th term of 134, 166, 198, 230? 32*o + 102 What is the w'th term of 719, 1442, 2165? 723*w - 4 What is the i'th term of 67, 119, 171, 223, 275, 327? 52*i + 15 What is the x'th term of 49, 56, 75, 112, 173, 264, 391, 560? x**3 + 48 What is the p'th term of 30235, 30231, 30225, 30217, 30207, 30195? -p**2 - p + 30237 What is the s'th term of -222, -220, -214, -204, -190? 2*s**2 - 4*s - 220 What is the y'th term of -20989, -20998, -21009, -21022, -21037, -21054? -y**2 - 6*y - 20982 What is the y'th term of -214, -865, -1950, -3469? -217*y**2 + 3 What is the j'th term of 75, 148, 221, 294, 367, 440? 73*j + 2 What is the v'th term of -29, 60, 209, 418, 687, 1016, 1405? 30*v**2 - v - 58 What is the p'th term of -692, -690, -688? 2*p - 694 What is the m'th term of -45, -56, -75, -102, -137? -4*m**2 + m - 42 What is the u'th term of -16, 77, 160, 227, 272, 289, 272? -u**3 + u**2 + 97*u - 113 What is the i'th term of 347, 697, 1047, 1397? 350*i - 3 What is the o'th term of -821, -822, -823, -824, -825? -o - 820 What is the v'th term of 33, 25, 27, 45, 85, 153? v**3 - v**2 - 12*v + 45 What is the o'th term of 8, 18, 22, 8, -36? -2*o**3 + 9*o**2 - 3*o + 4 What is the c'th term of -40, -29, -18? 11*c - 51 What is the p'th term of -1537, -1541, -1547, -1555, -1565, -1577, -1591? -p**2 - p - 1535 What is the f'th term of 2722, 2723, 2724? f + 2721 What is the r'th term of -48, -153, -258, -363? -105*r + 57 What is the a'th term of 183, 190, 203, 222, 247? 3*a**2 - 2*a + 182 What is the i'th term of 66, 95, 150, 243, 386? 2*i**3 + i**2 + 12*i + 51 What is the p'th term of 38, 39, 50, 77, 126? p**3 - p**2 - 3*p + 41 What is the j'th term of -2, -5, -8? -3*j + 1 What is the a'th term of 1138, 2272, 3400, 4522, 5638? -3*a**2 + 1143*a - 2 What is the j'th term of 18, 54, 150, 336, 642? 5*j**3 + j + 12 What is the y'th term of -120, -118, -114, -108? y**2 - y - 120 What is the n'th term of -190, -329, -568, -913, -1370, -1945, -2644? -n**3 - 44*n**2 - 145 What is the n'th term of -5, 23, 49, 73, 95? -n**2 + 31*n - 35 What is the b'th term of 107, 103, 95, 83? -2*b**2 + 2*b + 107 What is the d'th term of -12, -19, -24, -27, -28, -27? d**2 - 10*d - 3 What is the c'th term of 51, 41, 31? -10*c + 61 What is the c'th term of -3525, -3526, -3527? -c - 3524 What is the y'th term of -540, -541, -542, -543, -544, -545? -y - 539 What is the d'th term of 17, 34, 65, 116, 193, 302, 449? d**3 + d**2 + 7*d + 8 What is the z'th term of -144, -279, -400, -501, -576, -619, -624, -585? z**3 + z**2 - 145*z - 1 What is the s'th term of -15, -37, -61, -87, -115, -145? -s**2 - 19*s + 5 What is the x'th term of -162, -164, -166? -2*x - 160 What is the g'th term of 525, 1046, 1567, 2088? 521*g + 4 What is the j'th term of -78, -60, -42, -24, -6, 12? 18*j - 96 What is the a'th term of -29, -41, -13, 73, 235, 491? 3*a**3 + 2*a**2 - 39*a + 5 What is the m'th term of -199, -209, -233, -277, -347, -449, -589? -m**3 - m**2 - 197 What is the c'th term of 897, 1740, 2581, 3420, 4257? -c**2 + 846*c + 52 What is the m'th term of 0, 5, 16, 33? 3*m**2 - 4*m + 1 What is the c'th term of -7, -23, -39, -55, -71, -87? -16*c + 9 What is the u'th term of -22, -28, -36, -46? -u**2 - 3*u - 18 What is the g'th term of 3395, 3397, 3399? 2*g + 3393 What is the w'th term of -678, -680, -680, -678, -674, -668, -660? w**2 - 5*w - 674 What is the s'th term of 8, -4, -46, -136, -292, -532, -874? -3*s**3 + 3*s**2 + 8 What is the r'th term of 35, -9, -117, -319, -645, -1125? -5*r**3 - 2*r**2 - 3*r + 45 What is the f'th term of -14721, -14719, -14707, -14679, -14629? f**3 - f**2 - 2*f - 14719 What is the v'th term of 6252, 6257, 6262? 5*v + 6247 What is the n'th term of 32, 50, 74, 104? 3*n**2 + 9*n + 20 What is the n'th term of -353, -352, -351, -350, -349? n - 354 What is the j'th term of 269, 536, 803? 267*j + 2 What is the b'th term of 263, 403, 543, 683? 140*b + 123 What is the f'th term of -795, -797, -799, -801, -803, -805? -2*f - 793 What is the z'th term of -17186, -17195, -17218, -17261, -17330? -z**3 - z**2 + z - 17185 What is the z'th term of -1047, -1041, -1035, -1029? 6*z - 1053 What is the r'th term of 192, 208, 226, 246, 268, 292? r**2 + 13*r + 178 What is the b'th term of -4516, -4505, -4496, -4489, -4484, -4481? -b**2 + 14*b - 4529 What is the u'th term of -12, -26, -40, -54, -68? -14*u + 2 What is the s'th term of 94, 127, 182, 271, 406, 599, 862? 2*s**3 - s**2 + 22*s + 71
{ "pile_set_name": "DM Mathematics" }
*a*a*a**(4/5)*a)*a**(-1/7)*a*a/(a**(-3)*a))/(((a/(a*a/(a*a**11)))/a)/(a*a**(-5)))**(9/4) assuming a is positive. a**(-2621/70) Simplify ((z**(-20)/z**0)/((z*z/z**15)/(z**(-13/3)/z)))**(22/9) assuming z is positive. z**(-814/27) Simplify (h**(1/4)*h/(h*h**2))**(-16/3)/((h/((h**1*h*h*h)/h))**21*h**(1/10)*h*h**(-6)) assuming h is positive. h**(1687/30) Simplify ((u**(-1/4)/u)/(u/u**(-1/2)*u*u)*u**(-6)/u**(-4))/(u*u**(3/7)*u/(u*u*u**6*u*u))**4 assuming u is positive. u**(659/28) Simplify ((c/(c/(c**0*c))*c)/((c*c/(c**(-1/5)*c))/c)*(c*c**(-1))**(-2/37))/((c*c*c/c**(-1))**(3/5)/(c**0)**(30/11)) assuming c is positive. c**(-3/5) Simplify ((a*a*a**(2/31)*a**(-6/5))/(a**(-3/4)*(a*a*a**(-15))/a))**(-2/43) assuming a is positive. a**(-9681/13330) Simplify ((y*y**(-3))**(1/6)/(y**(-15)*y/y**(-5)))**32 assuming y is positive. y**(832/3) Simplify (j**(-12)/j**(-5))**(-17/4)*(j**(-7)/j)/(j*j**(-3/4)*j)*(j*j**(-1/5))**(-23) assuming j is positive. j**(21/10) Simplify (((s**8/((s*s**(-12))/s))/((s/(s/((s/(s/(s/((s*s**(-2))/s))))/s)))/s)**(-38))**(-8))**(-1/7) assuming s is positive. s**(464/7) Simplify (((p**3/p*p**(-4)/p)/(p*p/(p/((p/p**1)/p*p*p)))**(-18))**(-26))**(-15) assuming p is positive. p**12870 Simplify (d*d**(-39/7))**6*d**(-5/4)*d**(1/9)*d assuming d is positive. d**(-6947/252) Simplify (((((h/h**(-2/3))/h*h)/(h/(h**3*h*h)))**50)**(-7))**(-9) assuming h is positive. h**17850 Simplify p**(-4)/p**6*(p**(1/5)*p)/p*p*p/(p*p**6*p)*((p/p**(1/2))/((p**(3/7)*p*p)/p))/(p**(-5)/p**(2/11)) assuming p is positive. p**(-8891/770) Simplify (z/z**(-2/7)*z/z**(-2/7))**0*(z**(-1/10)*z**(6/11)*z)**(-1/4) assuming z is positive. z**(-159/440) Simplify (i*i**(1/3)*i**(-1/11))**(-29)*((i*i/(i/((i/(i**0*i))/i)*i))/i)**(-4/31)/((i*i/(i/i**(-4)*i*i))/i**(-1/4)) assuming i is positive. i**(-126943/4092) Simplify (b**1/(b/b**(-7)))/(b**3/b*b**5/b)*((b/(b*b**(2/9)/b)*b*b)/((b/(b/b**(2/7)))/b))/((b/(b/(b*b**6))*b)/(b*b**(4/7))) assuming b is positive. b**(-1004/63) Simplify (q**(-2/3)*q)**(-48)/((q*q**(-1))/q**0)*(q/q**(-1/2)*q*q*(q*q*q**(-1/19))/q)/(q**9/(q**(-2/27)*q)) assuming q is positive. q**(-20137/1026) Simplify ((c*c/(c/c**(-1/13))*c)/c)/c**(-33)*(c/c**24)**(1/45) assuming c is positive. c**(19546/585) Simplify ((q/(q**(-9)*q)*q*q)/(q**(-5)/q))/(q*(q**1/q)/q)**17*q**(-9)/q**6*(q*q*(q/q**(-6))/q*q*q)/q**(-7) assuming q is positive. q**19 Simplify f*f/(f/(f/f**18*f))*f*f**(-34)*(f/(((f**(-14/3)/f)/f)/f))/(f*f**(2/37)*f) assuming f is positive. f**(-4594/111) Simplify ((o**(-1))**(2/13)*(o/(o/o**(-2/3)))**(-1/95))/(o*o**(-5)*o*o**(-1))**(-21) assuming o is positive. o**(-311764/3705) Simplify ((a/a**0)**(-9))**35*(a**(-1/3)/a)**(-2/19)/((a**(-5)*a)/a**(1/14)) assuming a is positive. a**(-248009/798) Simplify ((c**1)**(-2/3)/(c/(c*c**(-6))*c*c**1/c))/((c**2)**(4/3))**(-2/31) assuming c is positive. c**(-697/93) Simplify ((d/(d/(d/(d*d**(-1/6)*d)))*d*(d*d/(d*(d**(1/9)*d)/d))/d)/(d*d**(2/11)/d)**46)**(1/7) assuming d is positive. d**(-235/198) Simplify (l**5/((l**(-4/3)/l)/l)*(l/l**(-1))/l*(l*(((l/l**5*l*l)/l)/l)/l)/l)/((((l*((l/(l/((l**(-2)*l)/l)))/l)/l)/l)/l)**(2/7))**(12/7) assuming l is positive. l**(997/147) Simplify ((((i*i**(-2/45))/i**6)**26)**(-22/5))**44 assuming i is positive. i**(5713136/225) Simplify ((r/(r*r**19*r)*r**(-31)/r)**(-25))**(-1/5) assuming r is positive. r**(-260) Simplify ((c**(-5))**15)**(-9/10)/((c*c/((c/(c/(((c*c**(1/4)*c*c)/c*c)/c*c)))/c))**(-16))**(-43) assuming c is positive. c**(479/2) Simplify ((t/(t/t**(-7))*t**(-4/7))/(t**(-1/4))**(-25))/((((t*t**(3/7)*t)/t)/t*t*t*t*t**(3/5)*t*t)/((t*t**(-1))/t*t)**(2/11)) assuming t is positive. t**(-397/20) Simplify ((y**0)**(-46))**(-2/89)/(((y/y**(-1))/y*y**(-2))/((y/y**0)/((y**(-1/2)/y)/y))) assuming y is positive. y**(9/2) Simplify ((l*l*l*l**5)/(l*(l**(-1/6)/l*l)/l)*l**(-9)/(l*l**(5/7)*l*l))**(1/26) assuming l is positive. l**(-191/1092) Simplify (((u*u**2)/(u/(u**(-2/15)*u)))/(u/(u*u*u*u**(2/13)*u)*u**(1/10)))/((u*u**(2/15)*u)/u**(-3))**(-2/3) assuming u is positive. u**(10931/1170) Simplify (q**(1/2))**(-28)/(q**(-1))**30*q/q**(-1/3)*q*q**2*(q**(-1))**(-11/4) assuming q is positive. q**(277/12) Simplify ((u**2/u)/(u*u*u/(u**(-3)*u)*u*u))/(u*u**(-1))**(3/16)*(u/(u**(2/7)/u))**(-31)/((u**(-1)/u)/u**(1/3)) assuming u is positive. u**(-1193/21) Simplify (z*z**(-28))/z**(4/13)*(z**9/z)/((z*z*z**(-37))/z) assuming z is positive. z**(217/13) Simplify ((z*z**(17/5)*z)**3*z**(1/2)/z**41)**33 assuming z is positive. z**(-8019/10) Simplify (i**(-5)*i**1/i)**(-12/13)/((i/i**(-1/4))**5/(i**(2/3))**21) assuming i is positive. i**(643/52) Simplify ((z/(z*z/(z**(-10)*z)))**(-13/4)/(z**20*z*z*z/((z**(1/7)/z)/z)*z))**37 assuming z is positive. z**(3441/14) Simplify (u/(u/(u**4*u))*u)/u*u*((((u/((u*u**(-4/11))/u*u))/u)/u)/u*u)/u*u**(1/3)*u*u**(2/13)*(u*u/u**(-2/19)*u*u*u**(-10))**4 assuming u is positive. u**(-152653/8151) Simplify ((k**(-2/5)/k)/k**(-4))**(-40)/((k**(-1/3))**(1/6)*k**(1/2)/(k**(-4)/k*k)) assuming k is positive. k**(-976/9) Simplify ((v**(-2/7)/(v*(v*v/v**(-1/13))/v*v*v)*(v**2)**(-2/25))**(6/19))**(5/3) assuming v is positive. v**(-20578/8645) Simplify l**(-1/4)/l**(2/5)*(l/l**(-1)*l)**(-1)*((l/(l**(-1/3)*l))**(-34))**(-3/5) assuming l is positive. l**(63/20) Simplify ((d/(d*d*d*d**(-4))*d)/d**(2/7))**(7/6)/(d*d**(-6)/d*d*d**4*(d**(1/3)*d)**7) assuming d is positive. d**(-31/6) Simplify n**5*n**(-1)*(n*(n*n**(-1)*n)/n*n)**(-3/4)*(n**2/(n*n**(-7)*n))/(n**(-2)*n/(n*n/((n*n**(-6))/n))) assuming n is positive. n**(37/2) Simplify ((((p*p**1)/p)/(p**9*p*p))/(p*(p/(p/p**(-1)))/p)**(1/5))**(-4/5) assuming p is positive. p**(196/25) Simplify (w/(w**(2/13)/w)*w*w*w**(-3/8))**(-5)/(w**(2/7)/(w/w**(-2))*(w/((w*w**(-2/7)*w)/w*w))**(1/4)) assuming w is positive. w**(-10529/728) Simplify (((((k/(k*k*k*k*k**(2/13)*k*k))/k)/(((k*k**(-2/15)/k)/k)/k))**(1/14))**(-24))**(3/16) assuming k is positive. k**(84/65) Simplify (((x/x**0)**(2/99)*(x/x**(-2/3))/x*x*x/x**(-2/3))**(6/19))**13 assuming x is positive. x**(8632/627) Simplify (w**(-25))**11/(w**19)**(2/49) assuming w is positive. w**(-13513/49) Simplify (z**(-1/4)/z**11)**(-16/5)/(((z**(-2/7)/z)/z*z)**(9/10)*(z/(z**(-1/3)*z))/z*z**(-5)) assuming z is positive. z**(8993/210) Simplify (y/y**(2/5)*y)**(-5)/(y**3*y*(y*y*y**2)/y)*y**(-4)/y**(3/2)*((y*y**(1/2))/y)/(y/(y*y*y**(2/23)*y)*y) assuming y is positive. y**(-435/23) Simplify ((b**(-7)/(b/(b*(b/b**(-4))/b*b)))/(b/(b*b**(1/4)))**5)/(((b*b/(b**(-3/5)*b))/b**1)/(b**(1/3)*(b**(2/11)/b*b)/b*b)) assuming b is positive. b**(-551/660) Simplify (((m*m**(-5/4))/m)/(m*m/(((m**8/m*m)/m)/m)))/(m**2)**(1/3)*(((m*m/(m**(1/2)*m*m)*m*m)/m)**(-2/43))**(-25) assuming m is positive. m**(1375/516) Simplify ((o**(2/3)/o)/o)**(4/31)*(o**(1/4)*o)**(10/7)*((o**(1/10)*o*o)/((o/(o*o*o/(o*o**(-5)*o)*o*o))/o))/(o**(-1/3)/(o**(-4)*o)) assuming o is positive. o**(9816/1085) Simplify (((a**7/a)/a*a**(1/5)*a*a)/(a/(a**3*a)*a/((a/a**2)/a)))/(a**(2/3)/a*a*a**5*a*a)**6 assuming a is positive. a**(-194/5) Simplify (x/x**(-3/2)*x**(1/6)*x**(-1/5)*x*x*((x*x*x**4*x*x)/x)/x*x)/((x**(2/7)/x*x)/x**(-6))**42 assuming x is positive. x**(-3788/15) Simplify ((p**(-1/3))**(-8/17))**(1/2)*(p**(1/2)/p)**(-18)*(((p*p/(p*p*p**(1/5)))/p)/p)/p**(2/3) assuming p is positive. p**(528/85) Simplify (z/((z/(z**1/z))/z)*z)/z*z**29*z*z/z**(1/16)*z*z/(z**(4/15)*z) assuming z is positive. z**(7841/240) Simplify (((g/(g**(4/3)/g))/g*g**3)/(g/(g**(-1/2)*g)*g/g**(-3)))/((g**(-3)*g*g**(-2/21)/g*g)/(g/g**(1/2))**(-1/9)) assuming g is positive. g**(13/63) Simplify (((z*z*z*(z/z**7*z)/z)/(z*z/(z*z**1)*z))/(z**(-7)/z)**(-23))**(21/4) assuming z is positive. z**(-987) Simplify ((k*k**(-2/7)/k)**(-16))**(-6)*k**(4/3)/((k/k**(-2/11))/k*k)*(k*k*k**(1/5)*k)/k*k**4 assuming k is positive. k**(-24344/1155) Simplify (t*t**(1/6))/t**5*(t/(t*t*t**(2/5)*t))**42*(t**1)**(-2/7)/(t**(-2/3)/t**1) assuming t is positive. t**(-21683/210) Simplify (t**(3/14)*t**(-37)*(t**(-2/37))**(2/5))**(12/5) assuming t is positive. t**(-571986/6475) Simplify (((d**(-3/7)/d)/d)/(d**(-4/3)/d)*(d**(-1/4)/d)/(d/(d*d/(d*d/d**(1/2)))))/(d**1/d**(-2/13))**12 assuming d is positive. d**(-17135/1092) Simplify (z**11*z**8*z)**(-50)*(z**(4/5)*z*z*z**(-1/6))**(-2) assuming z is positive. z**(-15079/15) Simplify (((s*s/(
{ "pile_set_name": "DM Mathematics" }
- 101). 73 (0 + (2 - 3))*(-798)/(-57) -14 What is the value of ((-88)/55*-3)/(36/(-120))? -16 What is (-744)/2883*62 - (28 - 2)? -42 Calculate 0 + 8/(64/3) + (-13398)/11088. -5/6 Calculate ((9/(-45))/((-24)/50))/(95/8 + -12). -10/3 What is (-28)/(-735)*(-468)/624*(-3)/1? 3/35 Calculate (-264)/10 - (-16 - (-51 + 56)). -27/5 ((-151)/(-5) + -509 + 486)*(1 + 7/(-2)) -18 What is the value of (-16)/70*(-11480)/(-13776)? -4/21 What is 154/4*23/(10143/504)? 44 2/11 + 39/(135564/124504) 36 Evaluate (12/(-20))/(2/340*-15). 34/5 Calculate 94/8*-22*(71604/1122 + -64). 47 Evaluate ((-14)/(-57))/(192752/457786). 7/12 Evaluate (-33125)/(-371) + -91 - (4575/(-35) + -5). 134 (-8)/((-42)/(-6804)*144) -9 Calculate 33/(-550)*6040/(-26274). 2/145 Evaluate ((-44)/33*3)/(-5*5/50). 8 Calculate (-4)/(-8) - -1 - (-8722)/2492. 5 What is the value of 3120/491400 - (-1)/(-35)? -1/45 (1107/36 + 12)*(-156)/117 -57 (-14 - (-1267)/91) + 444/702 5/9 Calculate -1*(23 - 952/34). 5 Evaluate (-28 - (-6 - 20))*-17*(-4)/(-24). 17/3 -4*15/20*(-5394)/(-434)*(-7)/(-3) -87 What is the value of (1650/(-99))/((-2)/(-3)) - -12? -13 Evaluate 4 + (-54 + -49 - -113). 14 What is the value of 108/(-360) + (-637)/(-2990)? -2/23 What is the value of (-10 + -8)*(15 - (-3776)/(-256))? -9/2 (1/((-99)/27) + 3255/3465)*2/(-6) -2/9 What is (-16)/92 - (-1740554)/25162? 69 Evaluate (-1 + 8/3)/((-697015)/4350 + 160). -50/7 Calculate (-13 - (195/(-26) + -8 + 0))/((-3)/12). -10 What is the value of (-5 - -7) + -4 + ((-19110)/(-345))/26? 3/23 What is 666/4*(-12684)/131823 + 16/1? -2/97 Calculate ((-2486)/99 - -25)*(-81)/99*22/30. 1/15 What is (-84 - -4)*((-29)/2 + (93 - 79))? 40 Evaluate (544/6120)/((-2)/(-3)) - (-1 + (-39)/(-36)). 1/20 (131 - 17)*(4/18 - 168/432) -19 Evaluate ((-3 - (-23)/3) + 3)/((-11 - 10)/(-189)). 69 Calculate ((-10127)/41 - -57)/(1*-2). 95 Calculate 1/1 - 2*((-1233)/126 - (-400)/40). 4/7 What is the value of (-14)/(-57)*((-2346)/(-119) + -18)? 8/19 Calculate 16 + 10/13*(-1599)/78. 3/13 Evaluate 551/145 + (-47508)/14060. 8/19 (12 - 2) + 107/((-6955)/2990) -36 Evaluate (12144/77)/23*441/84. 36 Calculate (278/834*54/1506)/(2/(8/(-6))). -2/251 Evaluate (6346/365 - 456/1140) + -17. -1/73 What is (1599/(-819) - 4/(-14))/(44 - 46)? 5/6 What is the value of 38 + 4 + (462/21 - 18)? 46 What is (-59000)/(-13750) + (-32)/10? 12/11 What is (-850)/20 + 209*(-46)/(-437)? -41/2 What is ((0/1 - -2) + -1)/((-105009)/994 - -105)? -14/9 ((-39996)/693)/(-101) + (-363)/623 -1/89 What is the value of (-31)/(-62)*(-4)/14*(-7)/(28 - -7)? 1/35 What is -6 + (78/344 - 4/16)/(1577/(-405289))? -1/43 What is (34859/(-25352))/((-1)/(-18))? -99/4 Calculate ((-30)/18*2)/((-1296)/13608). 35 Calculate 28821/897 + -16*(-3 + 5). 3/23 What is (36/(-160)*-4)/(4356/(-3630))? -3/4 Calculate (-207)/(-4) - (0 - -1) - (50 - (-2211)/(-44)). 51 What is the value of ((-16)/(-24) - ((-3718)/(-390) + 12)) + 4/(-30)? -21 Calculate 3/(-81) + (-561)/280908*276. -10/17 Evaluate 17 - -1 - 2 - (-33 - -17). 32 -6 - (-3*(-5)/((-90)/(-12)) + 63) - 3 -74 Calculate 31 + 1118*444/(-15873). -3/11 Evaluate (5383/812833)/((-1)/(-5587)). 37 (5 + 1717/(-357))/(2*85/(-35)) -2/51 Evaluate (8*(-18)/210)/(208/(-260)). 6/7 What is the value of (-331738)/12418 + 40/7? -21 Calculate (-92)/16 - 304/456*(1 - 13). 9/4 Evaluate (-8 - (-23 + 13)) + 2 + -2 + 8. 10 Evaluate 10/(-20) - (-5)/10*1*(-133)/(-21). 8/3 What is (-15)/42 + (-5460866)/(-69692)? 78 Calculate (-2720)/(-2688)*-14 + 14. -1/6 (-565364)/3119363 + (-6)/(-39) -2/73 Evaluate 6/(-14)*((-45)/2025)/(10 + (-1044)/105). 1/6 Evaluate 1768/3536*((2 - 118) + 0). -58 Evaluate 11 + 1584749/(-162396) + (2/(-16))/(6/60). -1/117 What is 10215/(-17025) - 396/(-10)? 39 Evaluate ((-4860)/51030)/(1/(-777)). 74 Calculate ((-936)/35568)/((-20)/(-160)). -4/19 Evaluate (21 + -27)/((-34)/(-391)). -69 Evaluate (48/168)/(0 + 2 - 3)*480/15. -64/7 What is the value of (74/(-6) - -18 - 5)/((-462)/153 + 3)? -34 What is (78/4)/((-46)/(-24) + 116/348)? 26/3 Calculate (-6)/36*2*(34/(-8))/(99/(-4752)). -68 Calculate 8/400 - (-10872)/(-3600). -3 -4*((-35)/84)/((-75)/45)*-5 5 What is the value of 41 + -22 - (-677040)/(-35616)? -1/106 (35/(-20) - -4)*(-60104)/2049 -66 Evaluate (-2 - 90/(-55))/(873/3201). -4/3 Evaluate (-2270)/66 + 19460/(-15290) - -13. -68/3 Evaluate (-56)/42 + (-56545)/789. -73 (9 + (-18 - 5) - 86/(-2)) + (-22)/(-2) 40 6/(1 - 0) + 1 - ((-226324)/(-2329))/14 1/17 Evaluate (-3068)/59 - -3 - -85. 36 (0 - ((29 - 19) + 3274/(-327)))/(10/(-15)) -2/109 Evaluate 128438/(-2586) - (-43 - 1). -17/3 What is 5863/902*(2 + -8)? -39 Calculate (1/2)/((-87)/3 - 200585/(-6930)). -9 739/17736 - 4420/96 -46 What is the value of -3 - 10 - 594*1334/(-60900)? 2/175 What is the value of (38/4)/((-2)/(-19) - (-61 - (-101750)/1672))? 38 (-10)/((-50)/38*18/(-90)) -38 What is the value of (-6 - (-2194)/372) + 67/402? 2/31 Calculate (83 - 9476/115)/((12/650)/((-6)/30)). -13/2 28*(6/27)/(-10 + (-4094)/(-414)) -56 Evaluate ((-6)/(-22) - 448/4224)/(9 + (-351)/36). -2/9 Evaluate 4 + -12 - ((-11492)/68 + 125). 36 Evaluate 4 - -1 - (18/((-1350)/795) - -10). 28/5 What is (16513/1348)/((-7)/(-12))*(4 - 92/12)? -77 Evaluate (-688)/936 + 112/126. 2/13 What is 55/(-99) + 937704/9612? 97 Evaluate (-13)/3*(2968/112 + -19 - 3/2). -26 Calculate (-352)/7 - (-47 - (-8175)/175). -50 Calculate -23 + (404/(-3))/((-19152)/3276). 2/57 Evaluate 90/(-4140)*((-4 + 0 - -6) + -7 + -3). 4/23 32955/(-184548)*21/50 -3/40 What is (5 - 336/60) + -7 + 18010/2350? 3/47 What is 638/(-432) - 150/250*5/8 - -2? 4/27 What is 3/2*(-353 - -346)*-3*1/(-45)? -7/10 What is the value of ((-6)/(-81))/(49/882)? 4/3 Calculate (-10)/(-8)*(51129/1242 + (-21)/18). 50 (294 - 306)/((-12)/22) 22 Evaluate ((5 + -17)/4)/20 + (-701362)/7720. -91 What is 18/16 - (10/(-200))/(40/(-17700))? -21 What is the value of ((96/40)/(-1))/((-294)/5390)? 44 Calculate (-1 - 136/(-48))/(5929/2695). 5/6 (121/((-14883)/164))/(12/99) -11 (19/(-36) + 237/316)/((-20)/(-27)) 3/10 What is (3 - -3*(-133)/126)/((-28)/(-840))? -5 ((-251)/(-7) + 2/14)*70/210 12 Calculate ((-5670)/41850 + 4/(-62))*-315. 63 Evaluate (-240)/200*115/1173*-969. 114 (-4)/(-106) + (-2962670)/52576 + 57 11/16 Evaluate (-27)/144 + 7 + 14896/256. 65 What is -4 - (6921/(-531) - (-24 + 32522/1357))? 9 (1551/33 - 35 - -59)/(3/(-3)) -71 What is the value of (788 - 741) + (2 - 5)? 44 Evaluate 4/(-30)*(1/8)/((-29)/522). 3/10 Calculate (434/248)/((-294709)/7752 + 38). -102 Calculate (-9)/(-6) + (1 + 381)/(73544/(-290)). -2/317 Evaluate (8351/147 - 48) + -9. -4/21 What is the value of (-10)/(-35) - (-24 - 14070/(-588))/((-2)/10)? -1/14 Evaluate 66/78 + -1 - 510/(-117)*6. 26 Evaluate ((-17485)/(-1027) - (-4)/(-2)) + ((-133)/(-7) - 34). 2/79 Evaluate ((-6)/(-120)*15)/((-702)/1008). -14/13 Evaluate 6 - (-10 + 66/5)/(1197/2240). 2/171 Calculate (-2)/(350/15) + 994356/(-19530). -51 (1 - 41) + (-10540)/(74090/(-239)) -6 Calculate (67/(-201)*(-13)/(39/(-1926)))/(-5 + 7). -107 (-1)/62 + 154389/2107070 2/35 12/(-144)*0*(35/(-30))/7 0 (-1)/(1 + (-52)/40) - 107525/30498 -5/26 What is the value of (-54505)/1430 + 40 + 3*2/(-3)? -3/26 Calculate -2 - -55 - (-16820)/290. 111 What is (2 + 6 + -11)*(12 - 4)/(-1)? 24 What is ((-364)/286)/(28/77)*(-128)/14? 32 Evaluate 20/14*-7 + 6 + -108 + 12. -100 What is the value of (-5)/(-39)*22100/(-3400)? -5/6 What is 56 + 120*(-50)/(-2700) + 2*(-1)/9? 58 Calculate -7 + -35*(28/(-490))/(-1)*7. -21 Evaluate (2 - 2)/(-10) - (-18)/(-39). -6/13 What is (-30 - -19 - (-296)/16)/(441/28 - 3)? 10/17 What is 1579 - 1546 - (-1 + (-7)/(28/8))? 36 (0/(10 + -35))/(11 - 21) 0 (17690/174)/(-4 + (-410)/(-60) - 2) 122 What is the value of ((-20)/(-275))/((-1192)/(-298))? 1/55 Calculate (41 - (-673903)/(-16440))/(1/(-2)). -1/60 Calculate (-2274)/(-57) + -42 + 72 + 9088/(-304). 40 Evaluate (2464/(-968))/((-24)/(-396)). -42 What is the value of 9808/(-172) - ((-3724)/(-4214))/(-38)? -57 Evaluate ((-18)/(-84))/((-5)/(-10))*70/1800. 1/60 Calculate (-14 - -22) + 73 + -74. 7 Evaluate -3*((-3447)/(-756) - (-3)/4 - (-37)/(-259)). -31/2 (-34)/(-17) + ((-280)/16 - 6/12) -16 22302/3696*-8 + -59 + -2*(-6)/44 -107 Evaluate (-6)/(-4*(36/80)/(15/10)). 5 Evaluate -3 - (-9342)/162 - (-4)/(-8)*8/(-3). 56 What is (4 - 1612/310)*10/(-18) + -4? -10/3 Evaluate 130/(-520) -
{ "pile_set_name": "DM Mathematics" }
oot of 10289624 to the nearest integer? 6 What is 20644904 to the power of 1/3, to the nearest integer? 274 What is 313861 to the power of 1/4, to the nearest integer? 24 What is 1687672 to the power of 1/4, to the nearest integer? 36 What is the third root of 650183 to the nearest integer? 87 What is the eighth root of 264736 to the nearest integer? 5 What is the sixth root of 13770303 to the nearest integer? 15 What is 5164168 to the power of 1/10, to the nearest integer? 5 What is the third root of 3069957 to the nearest integer? 145 What is 6638987 to the power of 1/3, to the nearest integer? 188 What is 478597 to the power of 1/7, to the nearest integer? 6 What is 387819 to the power of 1/4, to the nearest integer? 25 What is the fifth root of 3692837 to the nearest integer? 21 What is the fifth root of 6855013 to the nearest integer? 23 What is 635529 to the power of 1/3, to the nearest integer? 86 What is 146166 to the power of 1/2, to the nearest integer? 382 What is 1359656 to the power of 1/3, to the nearest integer? 111 What is 944999 to the power of 1/3, to the nearest integer? 98 What is the fifth root of 4657723 to the nearest integer? 22 What is 3774020 to the power of 1/10, to the nearest integer? 5 What is 709444 to the power of 1/4, to the nearest integer? 29 What is the cube root of 7691282 to the nearest integer? 197 What is 22045876 to the power of 1/4, to the nearest integer? 69 What is 9803 to the power of 1/10, to the nearest integer? 3 What is 117226 to the power of 1/2, to the nearest integer? 342 What is the fifth root of 15218285 to the nearest integer? 27 What is 399284 to the power of 1/3, to the nearest integer? 74 What is the sixth root of 19335337 to the nearest integer? 16 What is the square root of 757342 to the nearest integer? 870 What is the cube root of 1088604 to the nearest integer? 103 What is the square root of 2313320 to the nearest integer? 1521 What is the tenth root of 1922340 to the nearest integer? 4 What is 148459 to the power of 1/2, to the nearest integer? 385 What is the third root of 224315 to the nearest integer? 61 What is the third root of 19980769 to the nearest integer? 271 What is 87311 to the power of 1/2, to the nearest integer? 295 What is 16648402 to the power of 1/8, to the nearest integer? 8 What is 243800 to the power of 1/2, to the nearest integer? 494 What is 218436 to the power of 1/2, to the nearest integer? 467 What is 716329 to the power of 1/4, to the nearest integer? 29 What is 498847 to the power of 1/3, to the nearest integer? 79 What is the seventh root of 3141275 to the nearest integer? 8 What is the third root of 1409854 to the nearest integer? 112 What is 69338 to the power of 1/7, to the nearest integer? 5 What is the square root of 21828694 to the nearest integer? 4672 What is the eighth root of 241751 to the nearest integer? 5 What is the third root of 144198 to the nearest integer? 52 What is the sixth root of 3227202 to the nearest integer? 12 What is the cube root of 12908981 to the nearest integer? 235 What is the fourth root of 2428631 to the nearest integer? 39 What is 831538 to the power of 1/4, to the nearest integer? 30 What is the fourth root of 2326354 to the nearest integer? 39 What is 33961012 to the power of 1/5, to the nearest integer? 32 What is the fifth root of 2290879 to the nearest integer? 19 What is the seventh root of 471696 to the nearest integer? 6 What is the square root of 3934267 to the nearest integer? 1983 What is 259861 to the power of 1/3, to the nearest integer? 64 What is 6613079 to the power of 1/2, to the nearest integer? 2572 What is 1885689 to the power of 1/2, to the nearest integer? 1373 What is 5146153 to the power of 1/4, to the nearest integer? 48 What is the cube root of 5314215 to the nearest integer? 175 What is 3855065 to the power of 1/3, to the nearest integer? 157 What is the third root of 370256 to the nearest integer? 72 What is the square root of 271421 to the nearest integer? 521 What is the eighth root of 1090754 to the nearest integer? 6 What is 37103 to the power of 1/7, to the nearest integer? 4 What is the square root of 125122 to the nearest integer? 354 What is 469951 to the power of 1/2, to the nearest integer? 686 What is the cube root of 1144611 to the nearest integer? 105 What is 2088326 to the power of 1/2, to the nearest integer? 1445 What is 587459 to the power of 1/8, to the nearest integer? 5 What is 258954 to the power of 1/5, to the nearest integer? 12 What is the seventh root of 2792376 to the nearest integer? 8 What is 6877470 to the power of 1/9, to the nearest integer? 6 What is the third root of 1281080 to the nearest integer? 109 What is the third root of 21562057 to the nearest integer? 278 What is 13554770 to the power of 1/6, to the nearest integer? 15 What is 5440595 to the power of 1/2, to the nearest integer? 2333 What is 2531934 to the power of 1/2, to the nearest integer? 1591 What is 1385698 to the power of 1/3, to the nearest integer? 111 What is 3496655 to the power of 1/8, to the nearest integer? 7 What is the cube root of 12178241 to the nearest integer? 230 What is the fourth root of 7716126 to the nearest integer? 53 What is the third root of 12128563 to the nearest integer? 230 What is 18021224 to the power of 1/4, to the nearest integer? 65 What is 2388691 to the power of 1/2, to the nearest integer? 1546 What is the third root of 2923391 to the nearest integer? 143 What is the tenth root of 12393116 to the nearest integer? 5 What is 133140 to the power of 1/3, to the nearest integer? 51 What is the ninth root of 522404 to the nearest integer? 4 What is the fourth root of 192925 to the nearest integer? 21 What is 315880 to the power of 1/4, to the nearest integer? 24 What is 486049 to the power of 1/6, to the nearest integer? 9 What is the square root of 11368 to the nearest integer? 107 What is 2919802 to the power of 1/6, to the nearest integer? 12 What is the tenth root of 24734 to the nearest integer? 3 What is the sixth root of 3768003 to the nearest integer? 12 What is 702003 to the power of 1/2, to the nearest integer? 838 What is the third root of 8654309 to the nearest integer? 205 What is the fourth root of 866026 to the nearest integer? 31 What is 236774 to the power of 1/2, to the nearest integer? 487 What is the square root of 657095 to the nearest integer? 811 What is the square root of 39121 to the nearest integer? 198 What is the sixth root of 4183925 to the nearest integer? 13 What is the cube root of 20906545 to the nearest integer? 275 What is the third root of 983719 to the nearest integer? 99 What is 9311588 to the power of 1/3, to the nearest integer? 210 What is 30874320 to the power of 1/3, to the nearest integer? 314 What is the fifth root of 34569 to the nearest integer? 8 What is 8316 to the power of 1/4, to the nearest integer? 10 What is the seventh root of 502812 to the nearest integer? 7 What is 5053227 to the power of 1/8, to the nearest integer? 7 What is the square root of 358239 to the nearest integer? 599 What is 113622 to the power of 1/6, to the nearest integer? 7 What is the third root of 323028 to the nearest integer? 69 What is 354804 to the power of 1/7, to the nearest integer? 6 What is the square root of 36609 to the nearest integer? 191 What is the square root of 2437518 to the nearest integer? 1561 What is the third root of 905085 to the nearest integer? 97 What is 256953 to the power of 1/3, to the nearest integer? 64 What is the cube root of 144310 to the nearest integer? 52 What is the cube root of 527971 to the nearest integer? 81 What is the square root of 426231 to the nearest integer? 653 What is the ninth root of 1010691 to the nearest integer? 5 What is 83865 to the power of 1/2, to the nearest integer? 290 What is the cube root of 746446 to the nearest integer? 91 What is the cube root of 473032 to the nearest integer? 78 What is 1928312 to the power of 1/6, to the nearest integer? 11 What is 25791 to the power of 1/3, to the nearest integer? 30 What is 282683 to the power of 1/2, to the nearest integer? 532 What is the ninth root of 425963 to the nearest integer? 4 What is the ninth root of 311132 to the ne
{ "pile_set_name": "DM Mathematics" }
Is i a multiple of 149? False Let u(i) = 2855*i - 7456. Is 313 a factor of u(15)? True Let k be (0*(-6)/(-54))/1. Suppose 7*j - 1077 - 6651 = k. Does 46 divide j? True Let z(f) = 396*f + 28924. Does 188 divide z(0)? False Suppose 0 = v - 4*h + 435, -4*h = -5*v + h - 2130. Let o = v - -461. Is 25 a factor of o? False Let c(w) = w**3 + 65*w**2 - 15*w - 195. Is 20 a factor of c(-61)? False Let q be 12/(-18)*147 + -6. Is (-39)/q + (-1626)/(-16) a multiple of 6? True Let j(n) = 121*n**2 - 165*n + 1823. Does 57 divide j(11)? True Let j be (1/2 - (-75)/30)*-22. Is 53 a factor of (j - -13)/(3/(-51))? True Let w be (-194)/(-14) - 2/28*-2. Let h(d) = d**3 + 11*d + 9 - 14*d**2 + 0*d**3 - 39. Does 13 divide h(w)? False Let m(z) = -z**2 - 21*z + 24. Let a be m(-22). Suppose -3*g = -a*u - 2, 19 = 7*u - 4*u + g. Does 4 divide u? False Suppose 14400 = 5*l - 5*c, 6893 = 3*l + 3*c - 1735. Suppose -4*z - 2302 = 2*i - 0*i, 0 = 5*z + 2*i + l. Let g = -384 - z. Does 24 divide g? True Let p(m) = 17*m**2 + m - 82. Does 27 divide p(-9)? False Let z = 3921 - 403. Suppose -z - 574 = -31*w. Is w a multiple of 4? True Suppose 69*q = -36*q + 173670. Is q a multiple of 2? True Let u be (-162)/(-4)*((-70)/(-21) + 2). Does 29 divide 112671/u - (11/(-8) + 1)? True Let v = 33 + -33. Suppose v = -7*h + 2*h, 0 = 3*g + 5*h - 774. Suppose g = 3*m - 3*y, -2*m + 6*y - 3*y = -174. Does 28 divide m? True Let y(t) = -t**3 - 4*t**2 + 18*t - 3. Let p be y(-13). Suppose -5*r = -2*k + k - 246, -2*r = 5*k + p. Let w = k + 421. Is w a multiple of 15? True Suppose -13*q + 5121 = -10*q - 4*o, q - 3*o = 1712. Let b = q + -1180. Is 7 a factor of b? False Suppose 0 = 53*a - 75*a + 66. Suppose y - a*y - 2201 = -3*t, -5*t = 3*y - 3700. Is 9 a factor of t? False Is (-16)/(352/110) + (13117 - 0)/1 a multiple of 44? True Let s(o) = 165*o - 48. Does 106 divide s(8)? True Let s(l) = 5*l**3 - l**2 - 3*l + 11. Let a(h) = -h**3 - h**2 - h - 2. Let o be a(-2). Suppose -21 = -o*w - 3*g, 0 = -w - w - 2*g + 12. Does 8 divide s(w)? True Suppose 3*d = 42 + 63. Is d/28 + (-2444)/(-16) a multiple of 7? True Let l be (-6)/9 - 26/6. Let x(c) = 39 + 5*c - 15 - 10 + 2*c**2 - 11. Does 14 divide x(l)? True Suppose -3*a = q + 2*q - 15, q = 2*a + 14. Let c(y) = -9*y + 24. Let p(d) = -18*d + 50. Let h(x) = 11*c(x) - 6*p(x). Is h(q) a multiple of 18? True Let r(n) be the first derivative of n**4/4 + 2*n**3/3 + 3*n**2/2 - 26*n - 214. Is 43 a factor of r(4)? False Let a = 121 - 118. Suppose 5*x = 2*l + 277, -18 = a*l - 15. Is x a multiple of 14? False Suppose 18*a - 23*a + 3*i = -55054, -a = -2*i - 11001. Does 21 divide a? False Let k(v) = -482*v - 17. Let b be k(-3). Suppose -b - 163 = -w. Suppose -8*i = -w + 296. Does 12 divide i? False Let c be 1*(39/(-52) - (-30)/8). Suppose -5*y + h + 31 = -785, -c*y = h - 496. Does 5 divide y? False Let q(m) = 2*m**2 + 22*m + 11. Suppose 6*o = 4*o + 14. Is q(o) a multiple of 16? False Suppose 18*m = 15*m. Suppose -4*u + m*u = 0. Suppose 6*a + 61 - 229 = u. Is a a multiple of 28? True Suppose -35*o = 10799 - 186884. Is 13 a factor of o? True Let f = -5061 - -60816. Is f a multiple of 177? True Suppose -3*f + 7 = -2*f + 2*l, 3*f = 5*l - 1. Let g(p) = 10 + f*p + 3*p - 3*p - 6. Is g(6) a multiple of 11? True Let f be 1*(1154 + 8 + -6) + 0. Let s = f - -144. Is s a multiple of 52? True Let i be 70/((-6)/(-9)*3/2). Let s = -8 - -23. Is 22 a factor of (17 - s) + i/2 + -1? False Let m be (-4)/(-10) + (8154/15 - 4). Suppose 10*l - 1010 = m. Does 7 divide l? False Let n(h) = -h**3 - 22*h**2 - 21*h + 98. Suppose 419 = 4*g + 503. Is 14 a factor of n(g)? True Let t be (-48)/60 + (-2709)/(-5). Suppose -16*k = -20*k + f + t, 695 = 5*k + 5*f. Does 8 divide k? True Suppose -4*b + 19*b = 120. Suppose b*w - 14*w = -450. Does 15 divide w? True Suppose 11*l - 35 = 53. Let h(i) = 2*i**2 - 16*i + 55. Does 2 divide h(l)? False Suppose -207*t + 177522 + 389314 = -187679. Does 183 divide t? False Let n be 1/12 + (-49933)/(-276). Suppose -p + n = -139. Is 10 a factor of p? True Let v = -49 + 52. Let q(f) = -v*f - 8*f**2 - 32 - 5*f**2 - f**2 + 15*f**2. Is q(10) a multiple of 3? False Suppose -49*h = -48569 - 24784. Suppose -5*w - 1806 = -4*z + 1193, 2*z = 3*w + h. Is z a multiple of 25? False Suppose -6*k + 54 = -0*k. Suppose k*s + 5 = 4*s. Is s/(((-11)/33)/((-14)/(-6))) a multiple of 7? True Suppose -2*s - 3251 + 19043 = -5*i, 0 = -4*s - 5*i + 31554. Does 13 divide s? True Let l be (1 - 11)*(-8)/(-4). Let y(v) = 10 + 2*v - 3*v + 1 + 0*v. Is y(l) a multiple of 7? False Let l(t) = -6*t + 225. Let x be l(25). Is (12/(-20) - 0) + 76845/x a multiple of 10? False Let g = 1047 + 254. Is g a multiple of 2? False Let a = 5798 - 2418. Is 52 a factor of a? True Suppose -2*l + l = 2*o - 155, 430 = 3*l - o. Let k = 59 + l. Suppose 4*g - k = -4*c + c, 0 = -g + c + 51. Is g a multiple of 17? True Let q = -39 + 96. Is 9 a factor of (q - 0) + 0 + (8 - 2)? True Suppose 3*y - 102 = -3*x, 18*x - 3*y + 73 = 20*x. Suppose -i = -16 - x. Is 9 a factor of i? True Suppose 0 = -4*n - 4074 + 8934. Does 9 divide n? True Is 282/1645*(-7)/(-3)*43515 a multiple of 35? False Is -4 + (-32)/20 + 4/(-10) + 4798 a multiple of 32? False Suppose 29*z = 27*z - 5*h + 19473, -5*h + 97345 = 10*z. Is z a multiple of 23? False Suppose -4 = 3*n + 2, -2*n - 13 = -3*o. Is 21 a factor of 380/o + 4/(-6)? True Let a be (2/4)/(8/80). Let x(c) = 4*c - 20. Let d(y) = 8*y - 41. Let o(f) = a*x(f) - 2*d(f). Is o(17) a multiple of 19? False Suppose 2*l + 161 = -197. Let n = 611 + l. Suppose -8*j + n - 64 = 0. Is 18 a factor of j? False Let l(s) = 25*s**3 - 22*s**2 - 29*s + 24. Is 275 a factor of l(10)? False Suppose 14*l + 7963 + 47953 = 42*l. Does 18 divide l? False Suppose 12*d = -39*d + 182886 + 540039. Does 35 divide d? True Suppose -4*n + 13 = d - 11, -3*d = 4*n - 56. Let h(c) = -c**3 + 17*c**2 - 15*c - 10. Let y be h(d). Suppose 6*q - 5*q = y. Is q a multiple of 6? True Let p be (-34)/16 - 31/(-248). Is 15 a factor of p/8 + (-11 - 825/(-20))? True Let r(w) = w**3 - 13*w**2 + 5*w - 101. Let s be r(13). Is (s*15/6)/((-22)/88) a multiple of 10? True Let l(j) = -j**3 - 21*j**2 - j - 25. Let s be l(-21). Is 15 a factor of (40/s - -6)/((-2)/60)? True Let b be ((-7)/14)/((-2)/120). Suppose 5*w + 13 = 2*f, -10*w + 7*w - 3 = 0. Is f*(196/6 - 20/b) a multiple of 32? True Suppose 851 + 1064 = 3*b + 5*u, 4*b + 5*u = 2550. Let h = b + -418. Is 2 a factor of h? False Let z(f) = 19*f**2 - 44*f - 1984. Is z(-44) a multiple of 128? True Suppose 5*k - 876 = -181. Let u = k - -29. Does 8 divide u? True Let j(r) = r**3 + 10*r**2 + 3*r + 29. Suppose -11*x + 23*x + 72 = 0. Is 26 a factor of j(x)? False Suppose 4*r + 3*i + 19 = 0, -1 = -3*r - 3*i - 19. Let u be 0*(r + 4/8). Suppose 3*p + 34 - 424 = u. Is 10 a factor of p? True Suppose 25*j + 12 = 28*j. Let q(l) = 0*l**3 + l**3 + 5 - 8*l**2 + 9*l**2 - 2 + 2*l. Is q(j) a multiple of 13? True Let w = -7012 - -7198. Is w a multiple of 3? True Let x be (150/36 - -2) + (-1)/6. Is 39 a factor of -14*x/30*-215? False Let z be (-5)/(4 - 141/35). Suppose x - g = z, 4*g + 0*g = -x + 160. Does 10 divide x? False Let i = -43 + 54. Suppose -5*w = i*w - 2768. Does 5 divide w? False Suppose 76266 = -3100*s + 3119*s. Does 8 divide s? False Does 40 divide (-11 - -3 - -6 - 7) + 19828? False Let y be (-5572 - 1)/1*2/(-2). Suppose 4*t - y = -j, -5558 = -9*t + 5*t + 2*j. Is 58 a factor of t? True Suppose 3*d - 5*p + 4 = 0, -2*p = d - 3*p. Suppose -5*t - 231 = -d*h + 238, 5*t = -2*h - 461. Let g = t + 169. Is g a multiple of 19? True Let c = -4020 + 10182. Is c a multiple of 37? False Let m = -512 - -1107. Suppose -m*n + 372 = -589*n. Is 2 a factor of n? True Suppose 28*u + 12 = 31*u. Let b be 2 + (1 - 8/u). Is 22 a factor of -1 + (-3 - -4)*(88 + b)? True Suppose -73*g + 102720 = -49*g. Is g a multiple of 107? True Let c = -210 - -215. Suppose -3904 = -c*b - 604. Is 12 a factor of b? True Let a = 80 - 74. Suppose 0 = a*o - 414 - 288. Let s = o - -170. Is s a multiple of 33? False Let c = -47 - -50. Suppose 0*k - j = -k + 25, c*k - 83 = j. Let t = k - -28. Does 10 divide t? False Let n = 2941 - 268. Suppose n - 1037 = 2*o. Is 7 a factor of o? False Is 4 a factor of 2937 + 17 + -11 + -4? False Is 16 a factor of 8/14 - (-448360)/154? True Suppose -5*q = 3*i
{ "pile_set_name": "DM Mathematics" }
replacement from {d: 5, r: 11}. What is prob of picking 2 d and 1 r? 11/56 Calculate prob of picking 1 f, 1 h, 1 n, and 1 i when four letters picked without replacement from zzfnhhfi. 2/35 What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 1, d: 1, o: 9}? 0 Two letters picked without replacement from hlzhzhdllhcmdzl. What is prob of picking 1 d and 1 c? 2/105 Two letters picked without replacement from {y: 1, u: 1, h: 1, j: 2}. What is prob of picking 1 u and 1 y? 1/10 Calculate prob of picking 4 e when four letters picked without replacement from eeee. 1 Two letters picked without replacement from yyyyaabbayatavyayyat. Give prob of picking 1 t and 1 y. 8/95 Two letters picked without replacement from {w: 2, o: 5, s: 4, r: 1, u: 2}. Give prob of picking 1 o and 1 u. 10/91 Two letters picked without replacement from ykpoxoxpybxykxkxxb. What is prob of picking 1 b and 1 p? 4/153 Two letters picked without replacement from bgwwc. What is prob of picking 1 c and 1 g? 1/10 Four letters picked without replacement from eapwnqan. What is prob of picking 3 q and 1 p? 0 Calculate prob of picking 1 w and 2 s when three letters picked without replacement from rsrrwsss. 3/28 Two letters picked without replacement from {c: 1, p: 3, i: 1, r: 1, j: 1}. What is prob of picking 1 r and 1 p? 1/7 Two letters picked without replacement from sffms. What is prob of picking 1 s and 1 m? 1/5 Two letters picked without replacement from cnynnnyyycnnnyn. Give prob of picking 2 n. 4/15 Two letters picked without replacement from qwzzj. Give prob of picking 2 w. 0 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 2, g: 1, d: 6, m: 2, q: 1}. 2/11 Two letters picked without replacement from qzozozh. What is prob of picking 1 q and 1 h? 1/21 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 1, o: 1, v: 2, j: 1, b: 1, q: 1}. 1/21 What is prob of picking 1 w, 2 i, and 1 y when four letters picked without replacement from {y: 5, t: 1, w: 1, i: 3}? 1/14 Three letters picked without replacement from {a: 7, c: 5}. Give prob of picking 2 c and 1 a. 7/22 What is prob of picking 1 h and 1 m when two letters picked without replacement from mmmh? 1/2 What is prob of picking 1 m and 1 j when two letters picked without replacement from vmvhmmjmmjm? 12/55 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {x: 4, f: 1, d: 2, p: 4, u: 2, a: 2}. 4/105 What is prob of picking 2 d and 2 x when four letters picked without replacement from {d: 3, x: 4, f: 5}? 2/55 Four letters picked without replacement from {m: 4, b: 2, r: 6}. Give prob of picking 4 m. 1/495 Three letters picked without replacement from {o: 6}. What is prob of picking 3 o? 1 Four letters picked without replacement from {d: 5, r: 14}. What is prob of picking 1 d and 3 r? 455/969 Four letters picked without replacement from aaaiaaaaaiaiaaioiaaa. What is prob of picking 4 i? 1/969 Three letters picked without replacement from nzvkxzm. Give prob of picking 1 x, 1 z, and 1 k. 2/35 What is prob of picking 2 u when two letters picked without replacement from ciuiiciciciiuc? 1/91 Four letters picked without replacement from xxxxsxxssxxsxxxxxs. What is prob of picking 2 s and 2 x? 13/51 What is prob of picking 4 q when four letters picked without replacement from {q: 16, t: 2}? 91/153 Calculate prob of picking 2 p when two letters picked without replacement from qppppppppppippp. 26/35 Three letters picked without replacement from jmjijpimjiiijjipv. What is prob of picking 2 p and 1 i? 3/340 What is prob of picking 3 d and 1 q when four letters picked without replacement from dqqdqdd? 12/35 Four letters picked without replacement from anins. Give prob of picking 2 n, 1 s, and 1 i. 1/5 Calculate prob of picking 2 w and 1 a when three letters picked without replacement from aawarlvwaalwa. 9/143 Two letters picked without replacement from {j: 1, k: 1, g: 2, d: 3, z: 4}. Give prob of picking 1 d and 1 g. 6/55 Calculate prob of picking 4 h when four letters picked without replacement from wwhhwhhwwwwwwwwwwh. 1/612 Calculate prob of picking 2 c and 2 p when four letters picked without replacement from {p: 1, u: 4, c: 3}. 0 Four letters picked without replacement from tttt. What is prob of picking 4 t? 1 Four letters picked without replacement from wdvivvvvvwsiiwvidi. Give prob of picking 1 d, 1 s, 1 i, and 1 v. 7/306 What is prob of picking 2 t when two letters picked without replacement from tjts? 1/6 Two letters picked without replacement from {j: 2, n: 4, f: 2, q: 1, v: 3}. What is prob of picking 2 n? 1/11 Three letters picked without replacement from bbwbo. Give prob of picking 1 o, 1 w, and 1 b. 3/10 Calculate prob of picking 3 f when three letters picked without replacement from {f: 13, v: 2, w: 5}. 143/570 Two letters picked without replacement from {f: 18, b: 2}. What is prob of picking 2 f? 153/190 Two letters picked without replacement from {o: 1, t: 3, l: 3}. Give prob of picking 1 l and 1 o. 1/7 Three letters picked without replacement from wuuuuuuuuuuuu. What is prob of picking 3 u? 10/13 Four letters picked without replacement from {a: 2, j: 5}. Give prob of picking 4 j. 1/7 What is prob of picking 4 i when four letters picked without replacement from {y: 15, i: 5}? 1/969 Two letters picked without replacement from {s: 5, c: 1, o: 4, j: 4, w: 6}. Give prob of picking 2 o. 3/95 What is prob of picking 1 g, 1 b, and 1 p when three letters picked without replacement from {p: 3, n: 10, g: 1, t: 2, b: 3}? 3/323 Three letters picked without replacement from qzzyyyvvzvzztyvv. Give prob of picking 1 y and 2 z. 1/14 Two letters picked without replacement from pexxexxxxkxepp. What is prob of picking 2 x? 3/13 What is prob of picking 4 h when four letters picked without replacement from {h: 5}? 1 Calculate prob of picking 2 a and 1 n when three letters picked without replacement from annnaannnnnn. 27/220 Three letters picked without replacement from dtdddddhhgggdggtdddd. What is prob of picking 1 d, 1 g, and 1 t? 11/114 Two letters picked without replacement from {k: 1, f: 3, v: 4, n: 1, t: 4}. Give prob of picking 1 k and 1 v. 2/39 Three letters picked without replacement from isusuuusuuuiii. What is prob of picking 1 s and 2 u? 9/52 Two letters picked without replacement from {l: 10, e: 4}. Give prob of picking 2 l. 45/91 Three letters picked without replacement from {e: 2, r: 4, t: 1}. Give prob of picking 1 t and 2 e. 1/35 Four letters picked without replacement from rzjgizu. What is prob of picking 2 g, 1 u, and 1 z? 0 Calculate prob of picking 2 a, 1 e, and 1 t when four letters picked without replacement from vdyaatyyyayvvadettyv. 6/1615 Calculate prob of picking 2 a and 1 j when three letters picked without replacement from ggjagagaaggalaa. 3/65 Two letters picked without replacement from {v: 1, b: 5, n: 5, y: 4}. What is prob of picking 1 v and 1 n? 1/21 What is prob of picking 1 l and 1 y when two letters picked without replacement from {c: 2, w: 10, v: 2, l: 1, y: 5}? 1/38 Two letters picked without replacement from rnissrprrn. Give prob of picking 1 i and 1 n. 2/45 Calculate prob of picking 3 y when three letters picked without replacement from {q: 1, x: 6, y: 3, k: 8}. 1/816 What is prob of picking 2 n when two letters picked without replacement from {m: 2, n: 10}? 15/22 Three letters picked without replacement from {y: 3, b: 5, j: 2, m: 2}. Give prob of picking 2 m and 1 j. 1/110 What is prob of picking 2 s, 1 o, and 1 d when four letters picked without replacement from {z: 2, s: 2, o: 7, d: 1, w: 4}? 1/260 Two letters picked without replacement from {y: 1, t: 4, x: 2}. Give prob of picking 2 x. 1/21 Four letters picked without replacement from {l: 3, r: 5, m: 4}. What is prob of picking 1 l, 2 m, and 1 r? 2/11 Three letters picked without replacement from {l: 2, d: 5, q: 9}. Give prob of picking 1 q and 2 d. 9/56 What is prob of picking 2 d when two letters picked without replacement from ddxdddddddxdxd? 55/91 Three letters picked without replacement from {s: 3, t: 8}. What is prob of picking 3 s? 1/165 What is prob of picking 3 k when three letters picked without
{ "pile_set_name": "DM Mathematics" }
= -z*v - 10 - 1, -16 = -4*q - 2*v. Suppose -4*l - q*i = -25, 31 = 5*l + 5*i + 1. List the prime factors of l. 7 Let d = 20 + -7. Let q be d/3 + (-2)/(-3). Suppose 5*s = -o + 45, 4*s - s + 1 = q*o. What are the prime factors of s? 2 Let a be 50/225 - (-1780)/9. Suppose -5*w + a = g + g, g - 3*w = 121. List the prime factors of g. 109 Let f(k) = -k**2 - 1. Let s(y) be the third derivative of y**5/30 + y**4/4 + 11*y**3/6 + 5*y**2. Let n(g) = -3*f(g) - s(g). What are the prime factors of n(11)? 47 Let b = -70 - -73. Suppose 5*a - 92 = -3*o, -2*o - b*a + 132 = 3*o. What are the prime factors of o? 2, 3 Let m = -150 - -256. Let o = m + -50. Suppose 25 = 3*f - o. What are the prime factors of f? 3 Let b = 466 - 219. List the prime factors of b. 13, 19 Let h(w) = -13*w**3 + w**2 + w + 4. Suppose 6 - 2 = -2*a. Let o be h(a). Suppose -3*q - o = -8*q. List the prime factors of q. 2, 11 Let v = 1095 - 635. What are the prime factors of v? 2, 5, 23 Suppose -6*r + 1328 = -2*r. What are the prime factors of -2*r/8*-1*1? 83 Suppose 3*n - 1405 = 2*k, -658 - 1457 = 3*k - 2*n. What are the prime factors of (k/(-14))/(2/4)? 101 Suppose 154*p = 163*p - 6336. What are the prime factors of p? 2, 11 Let b be (1 - (3 + -2))/1. Suppose -4*h + 216 = -b*h - 5*p, 5*h - 5*p = 270. What are the prime factors of h? 2, 3 Let s(o) = -1828*o + 314. What are the prime factors of s(-2)? 2, 5, 397 Suppose 12 = 4*p - p. Let l(i) be the second derivative of i**4/12 - i**3/3 - i**2 + 23*i. What are the prime factors of l(p)? 2, 3 Suppose -2*a - 2*j - 26 = 0, -5*j = -5*a - 18 - 37. Let d = a - 4. List the prime factors of ((-59)/(-2))/((-8)/d). 59 Suppose 0 = 2*z + 5*l - 795, -496 = -4*z - 4*l + 1076. Suppose 8*t = 2*t + z. List the prime factors of t. 5, 13 Suppose -3*b - 1 = -5*y - 5, 4*b = 3*y + 20. Suppose 12 + b = l. List the prime factors of l. 2, 5 Let o(f) = 3*f**2 + 3*f. Let d(i) = 5*i**2 + 5*i + 1. Let u = 6 - -1. Let b(n) = u*o(n) - 4*d(n). List the prime factors of b(4). 2 Suppose 0 = 5*w - 13 + 3. Let g(z) = -z**2 + 0*z**2 + 3*z**w + 23*z - 26*z. List the prime factors of g(4). 2, 5 Let c(t) be the third derivative of t**4/24 + 17*t**3/6 - 120*t**2. Let k(o) = 2*o - 1. Let b be k(-6). List the prime factors of c(b). 2 Let r be 5/(5/(-3)) - (3 - -16019). List the prime factors of r/(-125) - 8/(-10). 3, 43 Let p(g) = -g - 7. Let d be p(-8). What are the prime factors of (67/1)/(2 - d)? 67 Let z(y) = y**3 - 18*y**2 + 21*y + 7. Suppose -2*u - 22 = -56. List the prime factors of z(u). 3, 5 Let b(p) = p**2 + 7*p + 8. Let f = -24 + 17. List the prime factors of b(f). 2 Let w be (3/(-9) - 1)*(-12)/(-4). What are the prime factors of ((-2)/w)/(4 - (-559)/(-140))? 2, 5, 7 Let d = -3975 + 6639. List the prime factors of d. 2, 3, 37 Let o(l) = -60*l. Let p = 13 + -15. Let j be o(p). Suppose -2*t + 68 = 4*x, j = 4*t - 3*x - 5. List the prime factors of t. 2 Suppose 0 = 2*g - 2*r - 3536, -g - 4*r + 1759 = -2*r. What are the prime factors of g? 5, 353 Suppose -4*x + 2*y + 350 = 0, -3*x = -0*x + y - 260. Let d = 125 - x. List the prime factors of d. 2, 19 Suppose 0 = 4*q + 8, 3*u - q - 4*q = 10. Suppose u = 4*b, -5*m - 2*b + 14 + 1 = 0. What are the prime factors of m? 3 Let w be (-10)/(-35) - 52/(-14). Let c(d) = 2*d**2 - 3*d - 4. Let p be c(3). Suppose 0 = -w*x + 65 - p. List the prime factors of x. 3, 5 Let u be (-10 - -2)*(31/(-2) + -3). Let j = u - 119. What are the prime factors of j? 29 Let j = 822 - 159. What are the prime factors of j? 3, 13, 17 List the prime factors of 2453/4 - (-230)/(-184). 2, 3, 17 Let f = -516 - -925. List the prime factors of f. 409 Let i = 5839 - 3821. List the prime factors of i. 2, 1009 Let z = 19 + -9. Let h = 19 - z. List the prime factors of -2*h/6 + 15. 2, 3 Let s = -15 - -15. Suppose 2*f - 6*f + 20 = s. Suppose -v + 18 + f = 0. List the prime factors of v. 23 Suppose -3*x + 953 = -379. What are the prime factors of x? 2, 3, 37 Let g = 645 - 462. List the prime factors of g. 3, 61 Let k(v) = -3*v + 12*v + 2 + v**2 - 4*v. Let r be k(-5). Suppose r*n - 20 = 2. What are the prime factors of n? 11 Let r = 2293 + 1029. What are the prime factors of r? 2, 11, 151 Let z(y) be the first derivative of 2*y**2 - 4*y - 1. Let f = 1543 + -1541. List the prime factors of z(f). 2 Suppose 0 = 4*w - 16, 4*c - w + 96 - 864 = 0. Let a = c - 94. What are the prime factors of a? 3, 11 Let y = -124 + 52. Let n = 157 + y. List the prime factors of n. 5, 17 Let y(g) = -82*g - 763. List the prime factors of y(-45). 2927 Let h be 27/(-9)*860/6. Let t = 724 + h. Suppose -2*x = -9*x + t. What are the prime factors of x? 2, 3, 7 Let a(p) = 4*p**2 + 5*p - 2. Let w be a(-7). Suppose -7*x + w = -4*x. List the prime factors of x. 53 Suppose 8*m - 5*m - 1506 = 0. Let o = m + -312. List the prime factors of o. 2, 5, 19 Let q(o) = -3*o**3 - 8*o**2 - 6*o - 37. What are the prime factors of q(-7)? 2, 3, 107 Let h = 861 + 1471. List the prime factors of h. 2, 11, 53 Suppose -2*t = -0*t - 10. Suppose 0 = 4*d - t*d + 95. What are the prime factors of d? 5, 19 Suppose -21*z + 6365 = -17113. What are the prime factors of z? 2, 13, 43 Let i = 2662 + -1466. What are the prime factors of i? 2, 13, 23 Let y = -66 - -66. Suppose u + 1 = y, 2*u - 470 = -4*f + 4*u. List the prime factors of f. 3, 13 Suppose 2*y - 13 - 143 = 0. Let b = y + -18. What are the prime factors of b? 2, 3, 5 Let b(g) = 39*g**2 + 132*g + 22. What are the prime factors of b(-9)? 1993 List the prime factors of 15883/14 + 3/6. 5, 227 What are the prime factors of 775/4 - ((-5)/4 + 1)? 2, 97 Let x(v) = -16*v - 2. Let d be x(-6). Let g = d + 59. What are the prime factors of (1 + 0)/(9/g)? 17 Suppose -2*h - h = -b - 1, -3 = 3*b - 2*h. List the prime factors of (-3)/4 - (b - (-902)/(-8)). 113 Let w(d) = 55*d + 78. What are the prime factors of w(4)? 2, 149 Suppose 4 = 3*l - 11. Let y = l - -3. Suppose 12*w - 8 = y*w. List the prime factors of w. 2 Suppose -15*h = -462 - 12423. What are the prime factors of h? 859 Let a = -1091 + 1556. Suppose 4*g = 16, -a = -5*r - 5*g - 0*g. What are the prime factors of r? 89 Let c(g) = -29*g + 1. Let m(n) = 14*n. Let y(r) = 4*c(r) + 7*m(r). List the prime factors of y(-2). 2, 5 Suppose v = -4*v - 35. Let p = v - -18. List the prime factors of p. 11 Let f = -165 + 540. What are the prime factors of f? 3, 5 Suppose 5*d + 3*t = -0*t + 248, 0 = -2*d + 4*t + 120. Let s = 86 - d. What are the prime factors of s? 2, 17 Let p = 6189 + -3601. List the prime factors of p. 2, 647 Suppose -107 = 3*w - 4*y, 4*w + 221 = 2*y + 65. Let t = w - -84. List the prime factors of t. 43 Let v be -2*(3/6 - 2). Suppose 0 = -v*z - 10 + 25. Suppose -z*s + 3*n + 150 = -2*n, 18 = s + 3*n. What are the prime factors of s? 3 Let o = -163 - -65. Let x = o + 147. What are the prime factors of x? 7 Let a(l) = -l**2 + 31*l + 86. Let r be (-2)/7 + (-963)/(-63) + 1. What are the prime factors of a(r)? 2, 163 Let k(q) = -16*q - 14. Let z be k(-11). Suppose 2*m + 3*p = z, -4*p = 5*m + 57 - 469. List the prime factors of m. 2, 3, 7 Let f(s) = -9*s. Let d be f(-2). What are the prime factors of (-2)/(-9) + 410/d? 23 Let o = -4 - 3. Let y(u) = u**3 + 8*u**2 + 6*u - 4. Let c be y(o). Suppose 3*h = -k + 50, -2*k + c*h = -h - 120. What are the prime factors of k? 2, 7 Let y = 557 - -12. List the prime factors of y. 569 List the prime factors of (378 + 12)*24/10. 2, 3, 13 Suppose -88*d + 92*d - 632 = 0. What are the prime factors of d? 2, 79 Let x(o) be the second derivative of o**5/20 + 3*o**4/2 + 13*o**3/6 - 3*o**2/2 + 17*o. List the prime factors of x(-17). 5, 13 Suppose -8*h + 16*h = 11664. What are the prime factors of h? 2, 3 Let s = 903 - 115. What are the prime factors of s? 2, 197 Let s = 40 - 45. List the prime factors of (1/s - (-298)/(-10))/(-2). 3, 5 Suppose 68 - 5 = 3*v. Suppose 11 = l + q, -3*l = -5*l - q + v. Suppose 3*w - l - 8 = 0. List the prime factors of w. 2, 3 Suppose -6*h + 11*h - 46 = y, -4*h - 3*y = -52. Suppose -4*i = -30 + h. Suppose -i*t - 385 = -5*k, 4*t + 69 - 265 = -3*k. List the prime factors of k. 2, 3 Suppose -5*l = -2*z + 4571, 0 = -5*z + z + 3*l + 9177. List the prime factors of z. 2, 3, 383 Let y = -18 + 0. List the prime factors of (-6)/4*(-12)/y - -7. 2, 3 Let k be -1 + 3 - 10/5. Let s be 0*3/1
{ "pile_set_name": "DM Mathematics" }
7 - 4435404*c/7 - 4435401/7 = 0. Calculate c. -1478467, -1 Determine l, given that -2*l**2/7 - 10372828*l/7 - 13449445089698/7 = 0. -2593207 Find g, given that -2*g**5/13 - 272*g**4/13 + 6202*g**3/13 - 456*g**2 = 0. -156, 0, 1, 19 Determine t, given that -356*t**4 + 50916*t**3 - 1144*t**2 = 0. 0, 2/89, 143 Let -5*r**2 + 123325*r + 114248730 = 0. Calculate r. -894, 25559 Factor -2*y**2/5 - 13287964*y/5 - 22071248408162/5. -2*(y + 3321991)**2/5 Find k, given that -3*k**3 + 5176515*k**2 - 20706021*k + 15529509 = 0. 1, 3, 1725501 Solve 2*o**3/7 - 2686*o**2 + 20402590*o/7 + 2917342 = 0 for o. -1, 1253, 8149 Factor 4*f**3 - 2144480*f**2 + 287306452*f - 9624164616. 4*(f - 535986)*(f - 67)**2 What is s in -141*s**2/5 + 149754*s/5 + 57456 = 0? -90/47, 1064 Solve -l**5 + 355*l**4 - 37077*l**3 + 1046777*l**2 + 2206210*l + 1122000 = 0. -1, 50, 120, 187 Let -4*h**3 - 131596*h**2 + 6986040*h + 7117632 = 0. Calculate h. -32952, -1, 54 Factor -y**4 + 34936*y**3 - 419594136*y**2 + 1871417576416*y - 1673357865285136. -(y - 11254)**3*(y - 1174) Suppose b**2 - 5946630*b + 8840602089225 = 0. Calculate b. 2973315 Factor -3*g**2/4 + 333861*g/2 + 333864. -3*(g - 222576)*(g + 2)/4 Let 2*u**4/9 + 386*u**3/3 - 260812*u**2/9 + 4118656*u/3 + 25764416/9 = 0. What is u? -761, -2, 92 Suppose 9*y**5 - 300*y**4 - 67977*y**3 + 23880*y**2 + 271764*y - 90720 = 0. What is y? -72, -2, 1/3, 2, 105 Factor -2*y**2 + 55876*y - 4068290. -2*(y - 27865)*(y - 73) Find p, given that 2*p**5/3 + 309581*p**4/3 + 11986316840*p**3/3 + 485068131025*p**2/3 + 5029050025000*p/3 + 2394756250000/3 = 0. -77375, -20, -1/2 Let 3*y**2/5 - 45471*y + 20210832/5 = 0. Calculate y. 89, 75696 Factor 3*r**2 + 8523*r + 3816564. 3*(r + 557)*(r + 2284) Factor r**2/6 + 206147342*r/3 + 21248363306832482/3. (r + 206147342)**2/6 Factor 5*x**4 - 472555*x**3 - 296172240*x**2 - 61693815040*x - 4280557465600. 5*(x - 95135)*(x + 208)**3 Determine d so that d**3/5 - 1804*d**2/5 + 210388*d - 195386912/5 = 0. 392, 706 Let 2*f**3 - 39944*f**2 + 2111518*f - 2071576 = 0. What is f? 1, 52, 19919 Solve -3*r**3/7 + 3621*r**2/7 + 685194*r - 9607176/7 = 0. -799, 2, 2004 Let -44*p**5 - 58989264*p**4 + 235957496*p**3 - 353936464*p**2 + 235957716*p - 58989440 = 0. What is p? -14747360/11, 1 Determine o, given that -2*o**2/5 + 189999552*o/5 - 4512478720025088/5 = 0. 47499888 Factor 2*w**3 - 13068*w**2 + 91090*w + 1879776. 2*(w - 6527)*(w - 16)*(w + 9) What is z in 2*z**5/3 + 16960*z**4/3 + 14616168*z**3 + 31334452160*z**2/3 - 62844434048*z/3 = 0? -3652, -1178, 0, 2 Let -64*y**3 + 9348*y**2 + 40716*y - 437400 = 0. Calculate y. -9, 81/16, 150 Let -97*o**2/2 - 17845577*o/2 - 183975 = 0. Calculate o. -183975, -2/97 Solve -5*l**2 + 14297130*l - 14297125 = 0. 1, 2859425 Factor -5*u**3 + 2375*u**2 + 158645*u + 992425. -5*(u - 535)*(u + 7)*(u + 53) Factor m**3 - 9086*m**2 + 136109*m - 399124. (m - 9071)*(m - 11)*(m - 4) Let -2*i**3/3 + 1772*i**2 + 255830*i/3 - 1406600 = 0. Calculate i. -60, 13, 2705 Find y, given that 4*y**3 + 4244*y**2 - 427528*y + 2031040 = 0. -1154, 5, 88 Find r, given that 35*r**3 + 474865*r**2 + 9280080*r - 4064400 = 0. -13548, -20, 3/7 Factor -2*w**4 + 569980*w**3 - 40608510074*w**2 - 162440880120*w - 162443160072. -2*(w - 142497)**2*(w + 2)**2 Factor 2*v**2/9 - 6073088*v/9 + 4610299731968/9. 2*(v - 1518272)**2/9 What is i in 2*i**2/5 - 425458*i/5 - 1276392/5 = 0? -3, 212732 Find l such that -4*l**5/5 - 768*l**4/5 - 46064*l**3/5 - 863992*l**2/5 + 1006068*l/5 + 364952 = 0. -95, -49, -1, 2 Factor -4*a**2 + 47642800*a - 141864774490000. -4*(a - 5955350)**2 Factor -3*t**4 - 512358*t**3 - 2049396*t**2 - 2049384*t. -3*t*(t + 2)**2*(t + 170782) Factor 4*a**2 + 5171392*a + 1671455951104. 4*(a + 646424)**2 Factor -5*q**3 + 107*q**2 + 2126*q + 3784. -(q + 2)*(q + 11)*(5*q - 172) What is l in -6588*l**5 - 22093980*l**4 + 7328816*l**3 + 147361024*l**2 + 88921344*l + 321984 = 0? -3354, -2, -2/3, -2/549, 3 Let 5*p**5 + 2281180*p**4 - 6843570*p**3 + 6843580*p**2 - 2281195*p = 0. What is p? -456239, 0, 1 Factor 5*f**3 - 9525*f**2 - 488750*f. 5*f*(f - 1955)*(f + 50) Suppose 3*a**2 - 186072*a + 21914724 = 0. Calculate a. 118, 61906 Suppose 3*h**3/2 - 1793646*h**2 - 60984705*h/2 - 75334203 = 0. What is h? -14, -3, 1195781 Suppose 3*s**2 - 34707*s + 7156170 = 0. What is s? 210, 11359 Factor 2*a**3/7 - 8550940*a**2/7 - 17101886*a/7 - 8550944/7. 2*(a - 4275472)*(a + 1)**2/7 Factor -2*b**3 + 14966*b**2 + 134876*b - 149840. -2*(b - 7492)*(b - 1)*(b + 10) Solve -4*t**3 + 563504*t**2 - 19812193936*t - 2385584641920 = 0 for t. -120, 70498 Solve 3*w**5 - 9549*w**4 + 265452*w**3 - 1363776*w**2 + 2575008*w - 1665840 = 0 for w. 2, 22, 3155 Let -2*u**4 + 1775*u**3 - 121210*u**2 + 59275*u + 60162 = 0. Calculate u. -1/2, 1, 74, 813 Suppose -z**2 - 3697*z - 1895430 = 0. What is z? -3082, -615 Factor z**2 + 12861549*z - 12861550. (z - 1)*(z + 12861550) Suppose -4*i**3/9 - 4132*i**2/3 - 61784*i/9 + 99008/3 = 0. Calculate i. -3094, -8, 3 Solve -4*v**3/5 - 92961240*v**2 - 2700560044480500*v = 0 for v. -58100775, 0 What is s in 2*s**2/17 + 1177336*s/17 + 1177334/17 = 0? -588667, -1 Find l such that -l**5/4 - 1955*l**4/2 + l**3/2 + 1955*l**2 - l/4 - 1955/2 = 0. -3910, -1, 1 Solve 3*u**2 - 11232660*u + 10514387556300 = 0 for u. 1872110 Factor -4*k**2/7 - 20234720*k/7 - 25590243342400/7. -4*(k + 2529340)**2/7 What is p in -4*p**4 + 2180*p**3 + 1284460*p**2 - 1290980*p - 2573256 = 0? -357, -1, 2, 901 Determine p, given that 158*p**4 - 358*p**3 - 1696*p**2 + 2400*p = 0. -3, 0, 100/79, 4 What is n in -2*n**5 + 16880*n**4 + 558726*n**3 + 4167980*n**2 + 6236128*n = 0? -23, -8, -2, 0, 8473 Solve -3*s**2 + 222633*s + 81435900 = 0. -364, 74575 What is n in -2*n**2 - 7377460*n = 0? -3688730, 0 Factor 2*t**4/3 - 14560*t**3/3 + 87216*t**2 - 523008*t + 1045728. 2*(t - 7262)*(t - 6)**3/3 Find o such that 3*o**5 - 1635*o**4 + 29757*o**3 + 118959*o**2 - 320664*o + 173580 = 0. -5, 1, 22, 526 Let 2*r**2 + 58746*r + 2698084 = 0. What is r? -29327, -46 Factor -4*x**3 - 1736*x**2 - 98144*x - 365056. -4*(x + 4)*(x + 62)*(x + 368) Determine i, given that -35*i**2 - 976880*i + 46970880 = 0. -195712/7, 48 Suppose -2*r**4/5 - 7328*r**3/5 + 1708516*r**2/5 - 19496928*r + 95783454/5 = 0. What is r? -3887, 1, 111 Find r such that r**3 + 475704*r**2 - 2378541*r + 1902836 = 0. -475709, 1, 4 Let -g**3/4 + 188*g**2 - 22575*g = 0. What is g? 0, 150, 602 Factor -2*z**2 + 6558*z - 4919908. -2*(z - 2117)*(z - 1162) Solve 4*s**3 - 88016*s**2 + 3866896*s - 42514560 = 0. 22, 21960 Determine a, given that 2*a**4 + 13236868*a**3 - 13236878*a**2 - 52947472*a + 52947480 = 0. -6618435, -2, 1, 2 Determine k, given that 845239329*k**4/5 - 188354276*k**3/5 + 116373*k**2/5 - 18*k/5 = 0. 0, 3/9691, 2/9 Factor 4*q**3 - 48153936*q**2 + 96307860*q - 48153928. 4*(q - 12038482)*(q - 1)**2 Suppose 6*f**3/7 - 1296120*f**2 + 90725250*f - 1587673500 = 0. What is f? 35, 1512070 Solve 2*x**3 - 7595072*x**2 - 7595078*x + 15190148 = 0. -2, 1, 3797537 Factor p**2/4 - 148187*p/2 + 2074569/4. (p - 296367)*(p - 7)/4 Factor v**3 - 26894*v**2 + 152955705*v + 388197350100. (v - 14385)**2*(v + 1876) Let 5*m**3 - 640*m**2 - 271455*m - 270810 = 0. Calculate m. -177, -1, 306 Solve -4*z**4 - 53764*z**3 + 1993304*z**2 - 19407024*z + 17467488 = 0. -13478, 1, 18 Suppose -18244*y**2/7 + 8775372*y/7 - 3848/7 = 0. Calculate y. 2/4561, 481 Suppose n**2/4 + 12402*n + 297504 = 0. Calculate n. -49584, -24 Factor 5*p**3 + 137650*p**2 - 53129515*p + 5091288360. 5*(p - 191)**2*(p + 27912) Solve -c**5/7 - 43161*c**4/7 + 302179*c**3/7 + 129481*c**2/7 - 992850*c/7 + 86336 = 0 for c. -43168, -2, 1, 7 Suppose -f**5/6 - 238*f**4/3 - 19535*f**3/6 + 134380*f**2/3 - 47314*f - 298584 = 0. Calculate f. -429, -58, -2, 4, 9 Factor 3*q**4 - 2586*q**3 + 211956*q**2 + 434280*q. 3*q*(q - 770)*(q - 94)*(q + 2) Let 2*a**2/21 - 184334952*a/7 + 12742265448315864/7 = 0. Calculate a. 138251214 Suppose -2*t**4/11 + 56768*t**3/11 - 48489072*t**2 + 147567342208*t + 30490937093408 = 0. Calculate t. -194, 9526 Solve -5*d**3/7 - 24596*d**2/7 + 3536381*d/7 + 101180 = 0 for d. -5059, -1/5, 140 Factor 2*i**3/9 + 12364*i**2/9 + 1293730*i/9 + 34134968/9. 2*(i + 53)**2*(i + 6076)/9 Determine c so that 5*c**5 + 3495*c**4 - 155205*c**3 + 299905*c**2 - 148200*c = 0. -741, 0, 1, 40 Let
{ "pile_set_name": "DM Mathematics" }
and 74626? 223878 What is the lowest common multiple of 14091 and 5456? 6989136 Find the common denominator of 55/126 and -89/27174. 81522 Find the common denominator of -29/370260 and 53/612. 370260 Calculate the lowest common multiple of 24120 and 210. 168840 What is the smallest common multiple of 11934 and 12? 23868 What is the smallest common multiple of 9 and 19829? 178461 What is the smallest common multiple of 743764 and 56? 1487528 Find the common denominator of 62/734901 and 56/33. 8083911 What is the least common multiple of 1992 and 1128? 93624 Calculate the common denominator of 43/5 and -6/277675. 277675 What is the least common multiple of 38 and 126046? 126046 Find the common denominator of -65/14398 and -41/2506. 18040694 Find the common denominator of -1/4 and 41/5920. 5920 Calculate the common denominator of -103/7630 and -31/2310. 251790 Find the common denominator of 69/430 and -127/18880. 811840 Find the common denominator of 29/366 and -31/246989. 1481934 Calculate the lowest common multiple of 28 and 6830. 95620 Calculate the lowest common multiple of 135 and 108. 540 Calculate the smallest common multiple of 4 and 815716. 815716 What is the lowest common multiple of 1156 and 13872? 13872 What is the least common multiple of 392 and 196? 392 Calculate the lowest common multiple of 796978 and 56. 3187912 Find the common denominator of 49/3081 and -67/28756. 86268 Calculate the common denominator of 97/966 and -37/495. 159390 Calculate the smallest common multiple of 99250 and 1250. 496250 What is the common denominator of -103/36 and -19/13536? 13536 What is the lowest common multiple of 82836 and 1053? 248508 Calculate the least common multiple of 58784 and 29392. 58784 What is the smallest common multiple of 912 and 80? 4560 Calculate the least common multiple of 240 and 73584. 367920 Calculate the smallest common multiple of 345 and 8650. 596850 Calculate the common denominator of 151/31850 and 9/320. 1019200 What is the common denominator of 109/2346 and 10/7497? 344862 Find the common denominator of 13/39243 and -56/9. 117729 Calculate the smallest common multiple of 2366 and 182. 2366 Find the common denominator of -83/8772 and 11/18972. 815796 Find the common denominator of 49/78 and 85/1797822. 1797822 What is the common denominator of 16/8309 and 16/1187? 8309 Find the common denominator of -39/988810 and -113/1779858. 8899290 Calculate the least common multiple of 724 and 1588. 287428 What is the smallest common multiple of 394 and 2016? 397152 What is the common denominator of 38/1785 and -71/19584? 685440 Calculate the lowest common multiple of 478848 and 16. 478848 What is the least common multiple of 140 and 6678? 66780 Calculate the common denominator of 80/28371 and -31/18914. 56742 Find the common denominator of -167/7752 and -151/57120. 1085280 Calculate the least common multiple of 90985 and 96855. 3002505 Calculate the least common multiple of 456 and 4598. 55176 Calculate the common denominator of 27/21866 and -97/522. 196794 Calculate the smallest common multiple of 1689 and 67932. 38245716 Find the common denominator of 53/674685 and 59/674685. 674685 What is the least common multiple of 1562 and 540026? 5940286 Calculate the lowest common multiple of 8 and 4542860. 9085720 Calculate the lowest common multiple of 20007 and 108. 80028 What is the smallest common multiple of 3302418 and 366? 3302418 Calculate the least common multiple of 6882 and 73186. 6806298 Calculate the least common multiple of 2464 and 1320. 36960 What is the common denominator of 89/72 and 125/23712? 71136 Find the common denominator of 91/14556 and -143/7278. 14556 Calculate the lowest common multiple of 30429 and 1004157. 1004157 What is the smallest common multiple of 21870 and 90? 21870 What is the lowest common multiple of 13536 and 8? 13536 What is the common denominator of -89/280 and 39/8540? 17080 What is the lowest common multiple of 29530 and 4? 59060 What is the common denominator of -121/108828 and -107/217656? 217656 What is the lowest common multiple of 762496 and 6? 2287488 Find the common denominator of 23/286 and -63/8528. 93808 Calculate the smallest common multiple of 100583 and 109. 10963547 What is the lowest common multiple of 36 and 876? 2628 What is the common denominator of -45/60464 and 5/6? 181392 Calculate the lowest common multiple of 318 and 80. 12720 Calculate the smallest common multiple of 52488 and 10. 262440 Calculate the common denominator of 11/146540 and 17/22. 1611940 Calculate the common denominator of -55/894 and -89/571266. 571266 Calculate the smallest common multiple of 20398 and 124. 40796 Calculate the common denominator of 79/1984 and -113/27776. 27776 What is the common denominator of 19/90996 and 97/984? 7461672 Find the common denominator of -23/13496 and -19/1800. 3036600 Find the common denominator of 49/667 and -103/2668. 2668 What is the smallest common multiple of 3297 and 45? 49455 Calculate the common denominator of 131/42 and 93/664. 13944 Calculate the lowest common multiple of 153 and 1265. 193545 What is the lowest common multiple of 6 and 36500? 109500 Calculate the smallest common multiple of 14732 and 7366. 14732 Calculate the lowest common multiple of 42 and 616. 1848 What is the common denominator of 77/612 and -31/554? 169524 What is the common denominator of 83/134 and 26/241? 32294 Calculate the smallest common multiple of 8 and 3802716. 7605432 What is the smallest common multiple of 208450 and 39795? 4377450 Calculate the common denominator of 9/36938 and -21/6716. 73876 Calculate the common denominator of -101/50715 and 32/875. 1267875 Calculate the common denominator of -73/5776 and -125/6156. 467856 Calculate the common denominator of 45/5782 and -11/262. 757442 Calculate the smallest common multiple of 740 and 11692. 58460 Calculate the common denominator of 41/7824 and 113/264. 86064 What is the common denominator of 109/17940 and 1/11? 197340 Calculate the common denominator of -31/11019 and 46/40403. 121209 Calculate the common denominator of 41/19890 and -44/1275. 99450 What is the common denominator of -81/71552 and -131/520? 357760 What is the common denominator of -137/1773540 and -56/29205? 19508940 What is the common denominator of 119/49010 and 173/11310? 147030 Calculate the common denominator of 23/148420 and -37/246. 445260 What is the common denominator of -45/1064 and -65/10696? 203224 What is the common denominator of 23/11025 and -6/2975? 187425 Calculate the lowest common multiple of 121757 and 939. 365271 Calculate the least common multiple of 1232712 and 3861. 13559832 Calculate the smallest common multiple of 720 and 13092. 785520 What is the least common multiple of 27272 and 4312? 2099944 Calculate the lowest common multiple of 3418529 and 5. 17092645 Find the common denominator of -39/9964 and -23/2444. 129532 What is the common denominator of -36/1189 and 1/232? 9512 What is the common denominator of 25/12504 and -61/31260? 62520 Find the common denominator of -65/188 and 71/1833. 7332 Calculate the smallest common multiple of 138490 and 110. 138490 Calculate the common denominator of 51/22180 and 71/40. 44360 What is the smallest common multiple of 312807 and 279? 29091051 What is the common denominator of -115/932778 and 95/254394? 2798334 Calculate the common denominator of -133/31830 and 10/11. 350130 Calculate the smallest common multiple of 197892 and 82455. 989460 Calculate the lowest common multiple of 9700 and 400. 38800 What is the lowest common multiple of 27958 and 336? 670992 Calculate the common denominator of -29/472 and 179/5700. 672600 What is the lowest common multiple of 14 and 97223? 194446 Calculate the lowest common multiple of 6540 and 6120. 667080 Find the common denominator of 7/3968 and 145/192. 11904 What is the smallest common multiple of 1890 and 945? 1890 What is the smallest common multiple of 18 and 18951? 113706 Calculate the lowest common multiple of 11315 and 79570. 2466670 Calculate the smallest common multiple of 27 and 1260. 3780 What is the common denominator of 35/259618 and 5/4311? 2336562 Calculate the least common multiple of 14055 and 5622. 28110 Calculate the smallest common mul
{ "pile_set_name": "DM Mathematics" }
(base 3) to base 2 1101110100011 -602a (base 14) to base 3 -211122012 What is -a5d (base 14) in base 3? -2210200 -3024 (base 6) to base 10 -664 Convert -253433 (base 6) to base 4. -11210331 What is -121210 (base 5) in base 15? -153a What is -113010 (base 5) in base 4? -1000202 What is -6c02 (base 15) in base 12? -11348 What is -3f1b (base 16) in base 15? -4bc0 What is -1551 (base 6) in base 15? -1d7 27002 (base 8) to base 4 2320002 -1535 (base 6) to base 12 -2ab Convert 110010100000110 (base 2) to base 7. 135254 -71b (base 14) to base 9 -1822 Convert -413 (base 13) to base 14. -376 What is -c14 (base 14) in base 3? -10020210 -7620 (base 9) to base 4 -1113213 Convert 57 (base 8) to base 2. 101111 What is -6857 (base 14) in base 15? -5574 19b0 (base 16) to base 9 10016 What is -10110001 (base 2) in base 11? -151 What is -1807 (base 15) in base 11? -3991 Convert 22554 (base 6) to base 5. 100423 What is -21204 (base 5) in base 9? -1857 What is 14240 (base 6) in base 12? 1380 What is -13188 (base 11) in base 3? -221212012 What is 110513 (base 6) in base 13? 42a5 What is b407 (base 13) in base 4? 12010102 -482 (base 10) to base 13 -2b1 Convert 100111 (base 2) to base 5. 124 -1310 (base 6) to base 2 -101001010 What is -8894 (base 12) in base 2? -11101011110000 Convert -24453 (base 9) to base 15. -4ce0 Convert 22424 (base 8) to base 4. 2110110 Convert 7c5c (base 13) to base 12. a150 What is -aab (base 14) in base 15? -95b Convert 53362 (base 7) to base 9. 20124 -14130 (base 11) to base 7 -112441 444 (base 7) to base 11 198 1144 (base 11) to base 4 113130 Convert -123220 (base 5) to base 15. -165a What is -14b5 (base 12) in base 3? -10100102 -298a (base 16) to base 9 -15525 What is -15572 (base 9) in base 15? -326b What is -22130 (base 4) in base 14? -35a Convert 69 (base 10) to base 11. 63 7d3 (base 14) to base 16 615 What is 432 (base 5) in base 7? 225 -44 (base 11) to base 14 -36 Convert -20334 (base 6) to base 16. -aa2 3340 (base 8) to base 9 2365 40405 (base 7) to base 3 111110011 Convert 19a7 (base 15) to base 16. 15b5 What is 4302 (base 6) in base 12? 692 Convert 4123 (base 6) to base 3. 1020220 Convert 10068 (base 9) to base 8. 14737 What is 5213 (base 12) in base 7? 35034 Convert -8864 (base 9) to base 12. -394a 26131 (base 7) to base 12 4017 -80 (base 10) to base 8 -120 What is 100000111 (base 2) in base 8? 407 -1196 (base 14) to base 13 -1524 What is -1301 (base 4) in base 15? -78 What is -6075 (base 9) in base 3? -20002112 What is -3746 (base 8) in base 5? -31042 What is -89d5 (base 14) in base 2? -101110101011111 Convert -11311313 (base 4) to base 16. -5d77 Convert 2100022012 (base 3) to base 10. 46148 What is -365 (base 10) in base 9? -445 -4a2 (base 16) to base 6 -5254 What is 202264 (base 7) in base 14? c7a4 What is 2100 (base 5) in base 15? 135 What is -12962 (base 10) in base 2? -11001010100010 Convert 583c (base 15) to base 8. 44454 What is -142 (base 10) in base 9? -167 302412 (base 6) to base 16 5d68 -5320 (base 6) to base 3 -1122110 What is -120012121 (base 3) in base 13? -507a 20333111 (base 4) to base 9 55452 1040 (base 9) to base 4 23331 What is -14240 (base 5) in base 4? -102223 21220322 (base 4) to base 15 ba72 Convert -547 (base 10) to base 13. -331 Convert -222211 (base 3) to base 13. -439 Convert 151 (base 15) to base 6. 1221 What is -10130 (base 8) in base 11? -3164 What is -36567 (base 8) in base 5? -1000420 What is 1000000110 (base 2) in base 7? 1340 What is 6d42 (base 14) in base 16? 4a7e What is -1111 (base 4) in base 12? -71 What is -418 (base 15) in base 13? -560 4ba (base 14) to base 6 4220 Convert 1338 (base 11) to base 15. 7aa Convert 190 (base 15) to base 5. 2420 101203 (base 7) to base 9 25587 Convert 7cf9 (base 16) to base 12. 16621 What is 40364 (base 9) in base 6? 322521 What is 21a (base 14) in base 7? 1133 Convert -38103 (base 11) to base 9. -83022 Convert 1011010101011 (base 2) to base 10. 5803 Convert 21005 (base 6) to base 10. 2813 What is 23310 (base 4) in base 12? 530 Convert -4514 (base 13) to base 2. -10010110110010 What is -6214 (base 7) in base 5? -32132 9671 (base 13) to base 14 7875 What is 11104 (base 6) in base 9? 2114 What is 4613 (base 12) in base 7? 31500 What is 3103340 (base 5) in base 3? 2120020021 1011220 (base 4) to base 14 18a4 What is -3211 (base 5) in base 8? -657 Convert 96 (base 13) to base 10. 123 What is 498 (base 10) in base 12? 356 What is -10223 (base 5) in base 9? -844 Convert 12020 (base 5) to base 7. 2403 What is 12043 (base 5) in base 7? 2422 -416 (base 14) to base 2 -1100100100 Convert -921 (base 12) to base 6. -10041 What is 26331 (base 10) in base 5? 1320311 What is -11101100011111 (base 2) in base 13? -6b73 Convert -10220121 (base 3) to base 9. -3817 1314021 (base 5) to base 2 110011000011000 Convert 46a (base 16) to base 13. 68c Convert -73bb (base 12) to base 5. -401141 Convert 3463 (base 11) to base 10. 4546 Convert 122022 (base 4) to base 3. 2022000 What is 24210 (base 10) in base 4? 11322102 Convert 1a3 (base 13) to base 2. 100101110 Convert 21231 (base 4) to base 14. 325 3010 (base 5) to base 11 316 Convert 615 (base 8) to base 10. 397 Convert 6333 (base 8) to base 12. 1aa3 -14d74 (base 14) to base 6 -1040534 What is 37482 (base 10) in base 5? 2144412 -100 (base 5) to base 8 -31 -11000 (base 4) to base 13 -1b8 Convert -12311031 (base 4) to base 2. -110110101001101 What is 110101100111000 (base 2) in base 15? 81ed What is -25e (base 16) in base 9? -743 Convert -15d (base 15) to base 10. -313 -20920 (base 10) to base 4 -11012320 -14 (base 6) to base 11 -a 7723 (base 15) to base 4 12022101 Convert 101125 (base 6) to base 3. 102000222 -1025000 (base 6) to base 3 -2120001000 Convert -24301 (base 5) to base 7. -5216 What is 16a (base 16) in base 8? 552 Convert 100100000010100 (base 2) to base 4. 10200110 -26436 (base 8) to base 6 -125250 -224 (base 7) to base 6 -312 What is 1010001110 (base 2) in base 15? 2d9 Convert 12121201 (base 3) to base 5. 112341 Convert 353 (base 10) to base 6. 1345 What is 320333 (base 4) in base 15? 1132 Convert 31206 (base 7) to base 10. 7650 Convert 10261 (base 9) to base 16. 1a7a Convert 1000001010110 (base 2) to base 15. 138c Convert -210 (base 11) to base 3. -100101 What is -151545 (base 6) in base 14? -54c9 -31002 (base 7) to base 2 -1110101111100 1000101110 (base 2) to base 11 468 Convert 37a8 (base 11) to base 14. 1b42 Convert -202210 (base 3) to base 14. -2c1 Convert 10001010011 (base 2) to base 3. 1112000 What is 1887 (base 10) in base 8? 3537 What is -215a (base 15) in base 11? -5339 What is 6643 (base 7) in base 14? c23 Convert -31112 (base 6) to base 4. -1000310 What is -101000010011001 (base 2) in base 12? -bb35 What is 414 (base 7) in base 4? 3033 What is 1ff (base 16) in base 12? 367 -1100110110 (base 2) to base 15 -39c b98b (base 12) to base 11 14376 Convert -a93 (base 11) to base 3. -1210121 -3786 (base 10) to base 12 -2236 -2de (base 16) to base 2 -1011011110 -2067 (base 14) to base 16 -15cb 229 (base 11) to base 6 1133 Convert -3926 (base 10) to base 2. -111101010110 What is -11111011111111 (base 2) in base 10? -16127 -120 (base 14) to base 6 -1012 221 (base 3) to base 2 11001 What is -1113442 (base 5) in base 3? -1000021000 Convert 208 (base 14) to base 12. 294 What is -31031 (base 4) in base 3? -1011022 What is 34144 (base 6) in base 4? 1023100 What is -26454 (base 7) in base 13? -32ca -b1d4 (base 14) to base 15 -90cb a6d9 (base 14) to base 7 146662 Convert -32c (base 16) to base 3. -1010002 What is -25264 (base 10) in base 8? -61260 What is 240 (base 10) in base 14? 132 -4 (base 6) to base 7 -4 210452 (base 7) to base 12 18b88 Convert 6055 (base 7) to base 8. 4062 Convert 20355 (base 6) to base 4. 222233 3413 (base 13) to base 11 5521 -111011110110 (base 2) to base 5 -110310 -1383 (base 14) to base 10 -3447 Convert -116 (base 11) to base 2. -10001010 What is d57 (base 15) in base 11? 2294 Convert 1302133 (base 4) to base 10. 7327 What is c55 (base 15) in base 9? 3728 What is -1644 (base 9) in base 4? -103213 Convert 279 (base 15) to base 10. 564 dc9 (base 14) to base 15 c1a What is 200010010 (base 3) in base 9? 20103 What is -553 (base 12) in base 13? -483 What is ca1 (base 16) in base 9? 4382 1714 (base 14) to ba
{ "pile_set_name": "DM Mathematics" }
*2 + 6 + 0*l**2 + 7*l. Let d = 10 + 3. What is d*o(h) - 6*i(h)? 3*h**2 Let b(u) = -u**2 + 22*u + 45. Let l be b(24). Let t(c) be the first derivative of -7*c**2/2 - 5*c - 3. Let o(v) = 4*v + 3. Calculate l*t(p) - 5*o(p). p Let k(z) = -4*z. Let j(m) be the first derivative of m**2/2 + m + 54. Give 3*j(u) + k(u). -u + 3 Let i(q) = -q**3 - q**2 - 2*q + 1. Let k(o) = 81*o**3 + 7*o**2 + 10*o - 7. Determine 6*i(w) + k(w). 75*w**3 + w**2 - 2*w - 1 Let u(i) = 5*i. Let y(k) = 11*k. Suppose 0 = 2*t - 4*t + 18. Let f = 1002 - 1006. Give f*y(n) + t*u(n). n Let p(l) = 646*l**2 + 95. Let o(u) = 27*u**2 + 4. Calculate 95*o(j) - 4*p(j). -19*j**2 Let v(n) = -13*n**3 + 2*n**2 + 3*n + 2. Let j(t) = -27*t**3 + 5*t**2 + 7*t + 3. What is 2*j(i) - 5*v(i)? 11*i**3 - i - 4 Let p be (-2 + 5/2)*(-16 + 14). Let t(a) = -a**3 + a**2 - 1. Let f(u) = -u**3 + 7*u**2 - 5. Give p*f(s) + 3*t(s). -2*s**3 - 4*s**2 + 2 Let r(x) = 1 + 0 + x**2 - 4 + 12*x - x. Let d(q) = -12*q + 4. Let f(l) = 5*d(l) + 6*r(l). Let t(j) = -11*j**2 - 11*j - 4. What is -7*f(i) - 4*t(i)? 2*i**2 + 2*i + 2 Let j(c) = -14*c**2 + 11*c - 18. Let y(b) = 9*b**2 - 7*b + 12. Give -5*j(d) - 8*y(d). -2*d**2 + d - 6 Let n(a) be the third derivative of -7*a**4/12 - a**3/3 + 25*a**2 + 2*a. Let b(z) = -13*z - 2. Give 6*b(c) - 5*n(c). -8*c - 2 Let v(i) = 5*i**3 - 4*i**2 - 2*i + 4. Let p be 294/392*(-4)/3*1. Let b(d) = -d**3 + d**2 + d - 1. Give p*v(x) - 4*b(x). -x**3 - 2*x Suppose -186 = 31*i - 31. Let d(y) = 4*y**3 + 5*y**2 + 5*y. Let m(j) = -2*j**3 - 2*j**2 - 2*j. What is i*m(t) - 2*d(t)? 2*t**3 Let m = -738 - -737. Let f(n) = 6 - 2*n - 9*n**2 - 12 + 3*n**2. Let b(s) = s**2 + s + 1. Determine m*f(k) - 4*b(k). 2*k**2 - 2*k + 2 Let z = 9 + -5. Let u(w) be the first derivative of -2 + 0*w**3 - 9/4*w**4 + 0*w**2 - 7*w. Let o(h) = -5*h**3 - 4. Determine z*u(v) - 7*o(v). -v**3 Let g(y) = y - 2. Let h(n) = 51*n - 5. Determine -3*g(j) + h(j). 48*j + 1 Let p(n) = -7*n**2 + 76*n - 3. Let u(b) = -4*b**2 + 38*b - 2. Calculate 3*p(y) - 5*u(y). -y**2 + 38*y + 1 Let n(l) = 4*l + 5. Let z(y) = -3*y - 4. Suppose 10*t + 20 + 0 = 0. Calculate t*n(x) - 3*z(x). x + 2 Let z(j) = 8*j**3 - 9*j**2 + 5*j - 1. Let d(s) = -s**3 + s**2 - s. What is -6*d(u) - z(u)? -2*u**3 + 3*u**2 + u + 1 Let t(y) = -2*y - 1. Let z(l) = 1. Let i be ((-2)/24*4)/(1/3). Give i*t(s) - 2*z(s). 2*s - 1 Let l(i) = -15. Let n(b) = -4. Let y(t) = l(t) - 4*n(t). Let k(j) = -j + 2. What is -4*k(m) + 7*y(m)? 4*m - 1 Let z(n) = 4*n + 1 + 10*n - 12*n - 3*n. Let r(u) = 3*u - 3. Calculate r(f) + 2*z(f). f - 1 Suppose -3*a - 9 - 3 = -3*i, 0 = 2*a - 4. Let r(g) = -7*g + 11. Let z(q) = -8*q + 12. Calculate i*r(d) - 5*z(d). -2*d + 6 Let k(w) = 6*w. Let u(g) be the second derivative of g**3/6 - 156*g. Calculate k(p) - 2*u(p). 4*p Let d(t) = -10*t + 5. Let n(x) = -x + 1. What is d(g) - 2*n(g)? -8*g + 3 Let i(l) = -l + 2. Let v(g) = 9*g + 16. Determine -3*i(h) + v(h). 12*h + 10 Let b(m) = -4*m**3 + 2*m**2 - m + 5. Let g = 83 - 80. Let j(c) = -3*c**2 + 6*c**g - 5*c**3 - 1 + c + 2*c**2 + 0. What is -b(x) - 2*j(x)? 2*x**3 - x - 3 Let r(v) = 8*v + 221. Let a(n) = 2*n + 75. Calculate 14*a(u) - 4*r(u). -4*u + 166 Let t(f) = 5*f**2 + 2*f + 3. Let d(h) = h + 6. Let m be d(0). Let x(j) = 2*j - 1391*j**2 + 2765*j**2 - 1370*j**2 + 2. Give m*x(i) - 5*t(i). -i**2 + 2*i - 3 Let f(k) = 1539*k. Let m(j) = -55*j. Give 2*f(p) + 57*m(p). -57*p Let c(l) = l**3 + 6*l**2 - l + 2. Let x(g) = g**3 + g**2 + g - 1. What is c(d) + 2*x(d)? 3*d**3 + 8*d**2 + d Let u(w) = w - 1. Let d(m) = -m. Determine 3*d(r) + 4*u(r). r - 4 Let d = -1041 + 1046. Let p(q) = -7*q + 9. Suppose -v + 0 = -5, -50 = -5*i + v. Let l = i + -18. Let c(m) = -10*m + 13. Determine d*c(n) + l*p(n). -n + 2 Let s(l) = 3*l**2 - 2*l - 1. Let v(y) = -357*y**2 - 5*y - 3. What is -3*s(w) + v(w)? -366*w**2 + w Let t(h) = -h**2. Let z(u) = 15*u**2 - 3 - 23*u**2 + 11*u**2. What is -6*t(b) - z(b)? 3*b**2 + 3 Let i(t) = t - 1. Let b(l) = 20*l + 2. Calculate -b(a) - 3*i(a). -23*a + 1 Let k(j) = -3*j**2 - 15*j - 7. Let l(u) = 2*u**2 + 14*u + 4. Let n(c) = 5*k(c) + 6*l(c). Let w(p) = -p**2 + 5*p - 6. Give 6*n(m) - 11*w(m). -7*m**2 - m Let u(w) = -11*w**3 + 3*w**2 - 4*w + 3. Let s(v) = 12*v**3 - 4*v**2 + 3*v - 4. Determine 3*s(n) + 4*u(n). -8*n**3 - 7*n Let y(q) = -8*q - 51. Let n(f) = -6*f - 34. What is -7*n(v) + 5*y(v)? 2*v - 17 Let p(h) = h**2 - 23*h - 178. Let g be p(-6). Let q(j) = -j**2 + j - 1. Let i(a) = -4*a**3 - 2*a**2 + 3*a - 4. What is g*q(w) + i(w)? -4*w**3 + 2*w**2 - w Let l(h) = 5*h**2 + 6*h - 13. Suppose 3*k = 3*t - 18, 0 = -4*t - 3*k - 2*k + 24. Let m(u) = 14*u**2 + 17*u - 38. What is t*m(p) - 17*l(p)? -p**2 - 7 Let x(w) = -7 - 9 - 4 + 19. Let c(f) = f**2. What is -c(d) + x(d)? -d**2 - 1 Suppose -2*j + 24 = 4*w - 5*j, -5*w + 30 = 5*j. Let u = 12 + -7. Let g(t) = -u*t - 2*t - 10*t**3 + 12*t**3. Let z(y) = -2*y**3 + 8*y. Determine w*z(b) + 7*g(b). 2*b**3 - b Let q(l) = 1. Suppose -8 = 3*p + 2*t, -4*p + 0 = -3*t + 22. Let x(y) = 2*y + 5. Determine p*q(g) + x(g). 2*g + 1 Let o(p) = 11 - 6 - p + 0 + 3*p. Let g be (30/(-12))/(2 + 6/(-4)). Let z(x) = 3*x + 9. Give g*o(l) + 3*z(l). -l + 2 Let c(j) = 4*j**3. Let a(o) be the second derivative of o**5/20 - o**2/2 + 3*o + 10. What is 6*a(r) - c(r)? 2*r**3 - 6 Let q(w) = -1. Let h(l) = -3*l + 3. Suppose -4*s - 3*j = -4, 75*s = 80*s - 5*j - 5. Determine s*q(p) + h(p). -3*p + 2 Let u(a) = a**2 - 3*a - 5. Let n be u(5). Let b(g) = 7*g**3 - 2*g - 2. Let r = -15650 - -15652. Let w(o) = -15*o**3 + 5*o + 5. Give n*b(d) + r*w(d). 5*d**3 Let w(j) = -2*j + 15. Let h(m) = -11*m**3 + m - 86. Let t(f) = 3*f**3 - f + 29. Let a(s) = 2*h(s) + 7*t(s). What is -2*a(v) + 5*w(v)? 2*v**3 + 13 Let h(w) = w**2 + w. Let j = -4 + 8. Let i(r) = 2*r**2 + 11*r + 2. Let z(s) = s**2 + 6*s + 1. Let v(m) = -3*i(m) + 5*z(m). What is j*h(k) + 2*v(k)? 2*k**2 - 2*k - 2 Let f be 3*((-240)/18)/(-8). Let i(w) = -11*w**3 - 8*w**2 + 14*w - 6. Let y(m) = 7*m**3 + 5*m**2 - 9*m + 4. What is f*i(n) + 8*y(n)? n**3 - 2*n + 2 Let b(t) = 16. Let l(o) = 33. Let q(m) = 2*b(m) - l(m). Let g(w) = -3*w**2 - 2*w - 5. What is -g(a) + 5*q(a)? 3*a**2 + 2*a Let k(d) = 8*d**2 - 9*d + 3. Let i(b) = 8*b**2 - 8*b + 3. What is 5*i(p) - 6*k(p)? -8*p**2 + 14*p - 3 Let p(g) = g**2 - g + g**3 + g. Let s(t) = 5*t**3 + 2*t**2 + 12*t - 4*t - 7*t - 4*t. Calculate -3*p(j) + s(j). 2*j**3 - j**2 - 3*j Let j(a) = -3 - a - a + 3*a. Suppose -3*u + 0*n - 109 = -2*n, 3*n - 71 = 2*u. Let g = -40 - u. Let r(z) = z - 4. Give g*r(p) + 4*j(p). p Let b(o) = o. Let d = 7 + -5. Let g(m) = m**2 - 25*m - 27. Let a be g(26). Let r(u) = 4*u - 2. Give a*r(j) + d*b(j). -2*j + 2 Let l(k) = -2*k**3 + 5*k**2 - k + 3. Let s(w) = w**3 - w**2 - 1. Calculate l(m) + 3*s(m). m**3 + 2*m**2 - m Let f(x) = -8*x**2 + 490*x - 4. Let y(c) = 14*c**2 - 979*c + 6. What is -5*f(p) - 3*y(p)? -2*p**2 + 487*p + 2 Let y(x) = 20*x - 32. Let r(g) = -7*g + 11. What is -11*r(h) - 4*y(h)? -3*h + 7 Let h(c) = -3*c**2 + 71*c. Let f(g) = -6*g**2 + 140*g. What is 2*f(o) - 5*h(o)? 3*o**2 - 75*o Let v = -781 - -782. Let w(b) = b**3 - b**2 - b. Let i(p) = -p**3 + 2*p**2 - 3*p + 1. Determine v*i(k) + 2*w(k). k**3 - 5*k + 1 Let x(z) = -163*z**2 - 4*z. Let h(u) = 1795*u**2 + 45*u. Give -4*h(a) - 45*x(a). 155*a**2 Let n(f) = 4*f**2 + 2. Let c = -242 - -249. Let r(s) = 13*s**2 + s + 6. Determine c*n(x) - 2*r(x). 2*x**2 - 2*x + 2 Suppose 20*u - 8 = 32. Let v(d) = 2*d + 6. Let r(i) = -i - 2. Give u*v(g) + 7*r(g). -3*g - 2 Let c(l) be the first derivative of -2*l**3/3 - 5*l**2/2 - 5*l + 64. Suppose y = -0*y - 5. Let b(s) = 6*s**2 + 14*s + 14. Calculate y*b(a) - 14*c(a). -2*a**2 Let c(w) = -9*w + 183. Let k be c(21). Let l(v) = v + 3. Let s(y) = -y - 4. What is k*s(b) - 7*l(b)? -b + 3 Let w(d) = -154*d**3 - 28. Let a(n) = -17*n**3 - 3. Suppose -z - 3*z - 3*o + 97 = 0, 10 = -2*o. What is z*a(c) - 3*w(c)? -14*c**3 Suppose -n - n = -4*p - 4, -2*p + 4*n + 10 = 0. Let v(d) = -d**2 - 2*d - 2. Let s(l) = 2*l + 3. What is p*v(m) - 2*s(m)? 3*m**2 + 2*m Let d(p) = 5*p**2 + p + 3. Let q be (-3 - -2)/((-1)/(-90)). Let g = q + 87. Let s = -11 - -15. Let m(v) = 4*v**2 + 2. Calculate g*d(i) + s*m(i). i**2 - 3*i - 1 Let v(z) = 714*z**2 + 33*z - 4. Let c(m) = 143*m**2 + 6*m - 1. Give -11*c(u) + 2*v(u). -145*u**2 + 3 Let h(y) = -11*y**2 - 5*y + 2. Let r(
{ "pile_set_name": "DM Mathematics" }
Determine x so that 50*x**3 - 15460*x**2 - 75072*x - 90432 = 0. -12/5, 314 Solve t**3 + 46920*t**2 + 550465428*t + 2201111056 = 0 for t. -23458, -4 Let 13*o**2 - 15953*o/3 + 818/3 = 0. Calculate o. 2/39, 409 Factor f**4/2 + 193*f**3/2 + 5226*f**2 + 53730*f + 48600. (f + 1)*(f + 12)*(f + 90)**2/2 Let -81*f**5 - 248*f**4 - 258*f**3 - 96*f**2 - 5*f = 0. What is f? -1, -5/81, 0 Factor a**3/3 + 8215*a**2/3 + 49262*a/3 + 65672/3. (a + 2)*(a + 4)*(a + 8209)/3 Suppose 3*q**4 + 1320*q**3 - 12054*q**2 + 30936*q - 20205 = 0. What is q? -449, 1, 3, 5 Factor 8772*h**3/7 - 375*h**2 + 108*h/7. 3*h*(4*h - 1)*(731*h - 36)/7 Suppose 2*z**2/3 + 280*z - 222272/3 = 0. What is z? -604, 184 What is d in -5*d**3 + 4170*d**2 + 20945*d + 25170 = 0? -3, -2, 839 Factor 685*a**2 - 10945*a - 240. 5*(a - 16)*(137*a + 3) Let 2*d**3/9 - 120*d**2 - 8*d/9 + 480 = 0. Calculate d. -2, 2, 540 Solve -2*n**4/21 + 10544*n**3/21 - 4639354*n**2/7 + 2644536*n - 13875912/7 = 0 for n. 1, 3, 2634 Suppose -56*p**5/5 - 7444*p**4/5 - 250796*p**3/5 - 225984*p**2/5 + 17424*p/5 = 0. Calculate p. -66, -1, 0, 1/14 Solve -3*i**5/5 + 1341*i**4 + 26868*i**3/5 = 0. -4, 0, 2239 Suppose -3*s**3 - 1860*s**2 - 62961*s + 64824 = 0. Calculate s. -584, -37, 1 Factor 5*b**2/2 - 293406*b + 117362. (b - 117362)*(5*b - 2)/2 Let p**4 + 4918*p**3 + 6012121*p**2 - 85072068*p + 79055028 = 0. What is p? -2466, 1, 13 Find i such that 3*i**2 + 870*i - 12768 = 0. -304, 14 Factor 3*b**3/5 - 63*b**2 - 2691*b/5 - 2373/5. 3*(b - 113)*(b + 1)*(b + 7)/5 Suppose 3*x**4/5 - 402*x**3/5 + 1947*x**2/5 - 1548*x/5 = 0. What is x? 0, 1, 4, 129 Factor a**2/2 + 275375*a/2. a*(a + 275375)/2 Factor 4*m**2/3 + 864*m + 2588/3. 4*(m + 1)*(m + 647)/3 Find f, given that 2*f**2 - 151360*f + 2863731200 = 0. 37840 Find q, given that 4*q**2 + 74144*q = 0. -18536, 0 What is l in -2*l**3/11 - 2338*l**2/11 + 9384*l/11 = 0? -1173, 0, 4 Factor 3*d**4 + 75*d**3 - 252*d**2 + 12*d + 336. 3*(d - 2)**2*(d + 1)*(d + 28) Factor -1445*l**3/3 + 18870*l**2 + 15785*l + 9800/3. -5*(l - 40)*(17*l + 7)**2/3 Find k such that 2*k**3/5 + 2914*k**2/5 + 212576*k + 1059968/5 = 0. -728, -1 Find x, given that 3*x**4 + 223473*x**3 - 223476*x**2 = 0. -74492, 0, 1 Let 5*y**4/3 + 505*y**3/3 + 6305*y**2/3 - 13815*y + 17850 = 0. What is y? -85, -21, 2, 3 Solve -2*w**2/5 + 153172*w/5 = 0 for w. 0, 76586 Find i such that -2*i**3 - 654*i**2 + 3978*i - 5994 = 0. -333, 3 Factor -24*y**2/5 - 173*y/5 - 133/5. -(3*y + 19)*(8*y + 7)/5 Factor g**4/8 - 3*g**3/4 - 49*g**2/8 + 147*g/4. g*(g - 7)*(g - 6)*(g + 7)/8 Determine l, given that -l**5/2 - 96*l**4 - 6890*l**3 - 219144*l**2 - 2606912*l = 0. -56, -46, -44, 0 Find g, given that -3*g**5 + 5454*g**4 - 38004*g**3 - 48918*g**2 + 38007*g + 43464 = 0. -1, 1, 8, 1811 Find m, given that 2*m**5/3 + 244*m**4/3 + 1394*m**3/3 + 184*m**2/3 - 5608*m/3 - 4640/3 = 0. -116, -5, -2, -1, 2 Find k, given that -2*k**5 + 45*k**4/4 - 23*k**3/2 - 6*k**2 = 0. -3/8, 0, 2, 4 Factor 2*n**2/5 - 2628*n/5 + 82048/5. 2*(n - 1282)*(n - 32)/5 What is g in -g**4/6 + 947*g**3/6 + 793*g**2 + 956*g/3 - 3808/3 = 0? -4, -2, 1, 952 Find o, given that 3*o**5/4 + 39*o**4/4 - 477*o**3/4 - 1119*o**2/4 + 237*o/2 + 270 = 0. -20, -2, -1, 1, 9 Factor -2*r**4/7 + 3132*r**3/7 - 1068120*r**2/7 - 54915300*r + 198032060250/7. -2*(r - 645)**3*(r + 369)/7 Suppose 3*a**5/4 - 79*a**4/4 + 125*a**3/4 + 535*a**2/4 - 137*a - 219 = 0. What is a? -2, -1, 2, 3, 73/3 Suppose -f**2/3 + 72052*f/3 - 24017 = 0. Calculate f. 1, 72051 Factor 2*l**3/11 + 7056*l**2/11 + 6223392*l/11. 2*l*(l + 1764)**2/11 Factor 3*z**2/5 - 6420*z + 17173500. 3*(z - 5350)**2/5 Factor -5*r**3/3 + 14620*r**2/3 + 590800*r/3 + 1976000. -5*(r - 2964)*(r + 20)**2/3 Suppose -9*f**5/5 + 336*f**4/5 - 2049*f**3/5 + 2046*f**2/5 + 756*f/5 - 216 = 0. What is f? -2/3, 1, 6, 30 Solve m**4/3 + 5*m**3/3 - 1043*m**2/3 - 4459*m + 10290 = 0. -21, 2, 35 Determine a so that -7*a**3 - 14652*a**2 + 12565*a + 2094 = 0. -2094, -1/7, 1 Factor y**3/3 - 3*y**2 - 154*y/3 - 48. (y - 18)*(y + 1)*(y + 8)/3 Let -d**3/5 - 2208*d**2/5 - 19791*d/5 = 0. Calculate d. -2199, -9, 0 Find i such that 2*i**2 + 54080*i = 0. -27040, 0 Determine o, given that -3*o**3/2 + 831*o**2/2 - 1191*o - 11508 = 0. -4, 7, 274 Suppose 2*r**3/15 + 4724*r**2/15 - 3784*r/3 + 18928/15 = 0. Calculate r. -2366, 2 Let f**3/5 - 8008*f**2 - 40041*f/5 = 0. Calculate f. -1, 0, 40041 Let 2*d**2/7 + 222*d/7 - 1512 = 0. What is d? -147, 36 Solve -4*g**4/5 - 1112*g**3/5 + 53452*g**2/5 - 566896*g/5 - 621456/5 = 0. -321, -1, 22 Solve 5*g**4 - 25*g**3 - 530*g**2 - 1400*g = 0. -5, -4, 0, 14 Factor 82132*j**2/11 + 1867*j + 1/11. (4*j + 1)*(20533*j + 1)/11 Factor -760384*t**3/3 - 79076448*t**2 + 1088244*t - 3744. -4*(t + 312)*(436*t - 3)**2/3 Factor 2*b**3/3 - 356*b**2/3 + 1030*b/3 + 3500/3. 2*(b - 175)*(b - 5)*(b + 2)/3 Find f, given that f**5 - 5903*f**4 + 8672891*f**3 + 113539823*f**2 + 306531624*f - 428738436 = 0. -7, 1, 2958 Factor -x**3/5 + 187*x**2/5 + 2168*x/5 + 396. -(x - 198)*(x + 1)*(x + 10)/5 Let -2*r**3 + 784*r**2 + 32*r - 12544 = 0. What is r? -4, 4, 392 Find r, given that -5*r**2 + 209510*r - 2194722005 = 0. 20951 Let 2*h**5 - 10*h**4 - 270*h**3 + 850*h**2 - 572*h = 0. Calculate h. -11, 0, 1, 2, 13 Find q, given that 3*q**3/4 - 627825*q**2/2 + 32846705304*q + 65694666264 = 0. -2, 209276 Let -m**4/8 - 79*m**3/4 - 1187*m**2/2 + 18103*m + 221880 = 0. What is m? -86, -10, 24 Factor -q**2/3 + 141989*q/3 + 283982/3. -(q - 141991)*(q + 2)/3 Suppose -2*j**5/9 - 16*j**4/9 + 90*j**3 + 7568*j**2/9 + 20200*j/9 + 5600/3 = 0. What is j? -20, -5, -2, 21 Find h such that 6995*h**2 + 7315*h + 320 = 0. -1, -64/1399 Find t, given that -5*t**5 + 75*t**4 + 50*t**3 - 1500*t**2 - 2520*t = 0. -3, -2, 0, 6, 14 What is g in 5*g**5 + 175*g**4 + 1395*g**3 + 3665*g**2 + 760*g - 6000 = 0? -25, -4, -3, 1 Factor 841*y**3/6 + 155324*y**2 + 21422*y + 2216/3. (y + 1108)*(29*y + 2)**2/6 Factor 1532*b**3 - 28*b**2 - 6128*b + 112. 4*(b - 2)*(b + 2)*(383*b - 7) Determine o so that 3*o**5 + 3516*o**4 + 14031*o**3 + 17526*o**2 + 7008*o = 0. -1168, -2, -1, 0 Determine y, given that -80*y**4 + 30040*y**3 + 518115*y**2 - 264685*y + 33320 = 0. -17, 1/4, 392 Find v such that -v**5/4 + 206*v**4 - 2859*v**3/2 - 206*v**2 + 5719*v/4 = 0. -1, 0, 1, 7, 817 Let 5*o**2/2 - 1295*o + 10200 = 0. Calculate o. 8, 510 Find f such that 4*f**3/5 + 3428*f**2/5 + 351804*f/5 + 9656028/5 = 0. -743, -57 Factor 3*h**2/2 - 1017*h + 71151/2. 3*(h - 641)*(h - 37)/2 Determine m, given that 21*m**3/5 + 32877*m**2 - 2824149*m/5 + 80019 = 0. -7845, 1/7, 17 Suppose 2*y**3/3 + 13202*y**2/3 + 26398*y/3 + 13198/3 = 0. Calculate y. -6599, -1 Determine d, given that -2*d**3 - 138380*d**2 - 2393212856*d + 14364259248 = 0. -34598, 6 Find v, given that -2*v**2/5 - 10516*v/5 + 14742 = 0. -5265, 7 Factor 4*i**3 + 276*i**2 - 9216*i + 17296. 4*(i - 23)*(i - 2)*(i + 94) Factor -151*x**2/3 - 140273*x/3 + 1858. -(x + 929)*(151*x - 6)/3 Determine w so that -5*w**4 + 1050*w**3 + 255855*w**2 + 10905160*w - 22842060 = 0. -79, 2, 366 Factor 4*i**4/9 + 12752*i**3/9 + 1117840*i**2 - 18249984*i. 4*i*(i - 16)*(i + 1602)**2/9 Let 3*s**3/8 + 2181*s**2/4 + 26043*s/8 - 3801 = 0. Calculate s. -1448, -7, 1 Find j, given that -2*j**2/7 - 43612*j/7 - 237750818/7 = 0. -10903 Factor -u**3/3 + 35*u**2 + 112*u/3 - 212. -(u - 106)*(u - 2)*(u + 3)/3 Find f such that 2*f**3/13 - 2504*f**2/13 - 5022*f/13 + 7524/13 = 0. -3, 1, 1254 Factor -2*q**3/7 + 8460*q**2/7 - 1279272*q + 2553712. -2*(q - 2114)**2*(q - 2)/7 Suppose 4*s**3 - 1392*s**2 + 41708*s - 40320 = 0. Calculate s. 1, 32, 315 Factor -o**3/2 - 406*o**2 + 27041*o/2 + 13926. -(o - 33)*(o + 1)*(o + 844)/2 Find n such that 2*n**4 + 576*n**3 - 34690*n**2 + 495144*n - 461032 = 0. -341, 1, 26 Determine w so that 2*w**2/5 + 8228*w/5 + 49296/5 = 0. -4108, -6 Find n such that -4*n**3/3 + 2432*n**2/3 + 4912*n = 0. -6, 0, 614 Factor 5*w**3 + 35*w**2 - 470*w - 1040. 5*(w - 8)*(w + 2)*(w + 13) Find c, given that 5*c**3 - 13030*c**2 + 78025*c - 65000 = 0. 1, 5, 2600 Find c, given that 3*c**3/8 + 207*c**2/8 - 8427*c/8 - 27063/8 = 0. -97, -3, 31 Determine f so that -3*f**3 + 708*f**2 - 10752*f + 42240 = 0. 8, 220 Find r, given that -4*r**2 + 18376*r + 128828 = 0. -7, 4601 Factor -4*s**4/5 - 4716*s**3/5 - 1829208*s**2/5 - 223666448*s/5 + 756537504. -4*(s - 15)*(s
{ "pile_set_name": "DM Mathematics" }
5454 (base 6) to base 5. 110400 What is 110122001 (base 3) in base 8? 21770 Convert 20110 (base 3) to base 6. 450 What is -213010 (base 6) in base 15? -52bc Convert -47606 (base 8) to base 13. -9360 What is -11100201 (base 3) in base 5? -100203 Convert 9a (base 15) to base 8. 221 What is -45553 (base 6) in base 11? -4959 What is 11010011110 (base 2) in base 4? 122132 78b8 (base 12) to base 10 13388 Convert 5e (base 15) to base 11. 81 What is -221221 (base 3) in base 4? -22330 1735 (base 15) to base 10 5000 What is 53 (base 6) in base 10? 33 Convert 31003 (base 4) to base 13. 4c3 What is -200342 (base 6) in base 16? -3d46 302202 (base 4) to base 14 1270 4720 (base 8) to base 9 3401 Convert -37a (base 11) to base 10. -450 What is -10730 (base 9) in base 14? -2871 Convert 8632 (base 16) to base 7. 202105 Convert 33031 (base 4) to base 10. 973 -4120 (base 5) to base 13 -322 What is -131 (base 11) in base 5? -1110 Convert 49426 (base 11) to base 9. 117420 What is 3616 (base 8) in base 6? 12542 Convert -43c (base 16) to base 15. -4c4 What is 6642 (base 8) in base 13? 1786 What is 184c (base 14) in base 16? 111c -a44 (base 11) to base 16 -4ea -100333 (base 4) to base 3 -1111021 Convert -2206 (base 10) to base 12. -133a Convert 65772 (base 8) to base 2. 110101111111010 Convert 142 (base 7) to base 4. 1033 What is 14008 (base 12) in base 2? 110110000001000 What is -894 (base 13) in base 12? -a29 Convert -366 (base 15) to base 10. -771 What is 1b3 (base 15) in base 8? 611 Convert -212 (base 15) to base 5. -3332 What is -1346 (base 16) in base 14? -1b26 What is -1443 (base 5) in base 15? -118 What is -3231121 (base 4) in base 15? -477d 3204 (base 16) to base 8 31004 1001 (base 2) to base 10 9 What is 111617 (base 8) in base 15? b2d5 3112 (base 16) to base 3 122020021 30042 (base 9) to base 3 1000001102 Convert 210041 (base 5) to base 8. 15360 What is -32932 (base 11) in base 3? -2102110000 What is 4223 (base 5) in base 14? 2c3 -2325 (base 14) to base 2 -1011111011101 Convert 3103212 (base 4) to base 12. 7a06 -2649 (base 10) to base 12 -1649 Convert 2b (base 16) to base 15. 2d Convert 31e7 (base 16) to base 4. 3013213 Convert 204320 (base 6) to base 14. 6052 -1264 (base 13) to base 9 -3527 What is -102022 (base 3) in base 2? -100110001 -2624 (base 7) to base 16 -3e6 What is 1641 (base 8) in base 2? 1110100001 4b86 (base 15) to base 8 37345 Convert 3e9 (base 16) to base 12. 6b5 -1110011110 (base 2) to base 5 -12201 -101211211 (base 3) to base 12 -46aa Convert -47676 (base 9) to base 15. -96bc What is 24433 (base 5) in base 12? 10b8 1596 (base 12) to base 16 a02 -480 (base 10) to base 6 -2120 -20112 (base 7) to base 13 -229b Convert -2483 (base 9) to base 14. -969 Convert -1001 (base 3) to base 15. -1d Convert 1451 (base 14) to base 2. 111000001111 Convert -23812 (base 12) to base 8. -135316 2211103 (base 4) to base 10 10579 Convert -13512 (base 8) to base 16. -174a de (base 15) to base 14 10d -31306 (base 7) to base 10 -7699 -1001221 (base 3) to base 4 -30031 Convert 618 (base 10) to base 16. 26a -f77a (base 16) to base 6 -1205150 -569 (base 11) to base 6 -3052 -301131 (base 4) to base 9 -4306 Convert 8c14 (base 16) to base 3. 1211012011 Convert -100000011110110 (base 2) to base 3. -211210221 66b (base 15) to base 13 878 What is -1717 (base 12) in base 8? -5303 What is -2131 (base 12) in base 9? -4881 Convert -9cb (base 16) to base 5. -40012 -780 (base 9) to base 5 -10024 -23230 (base 5) to base 2 -11010011010 305 (base 13) to base 9 628 1001000100110110 (base 2) to base 4 21010312 -16763 (base 9) to base 15 -3659 Convert -750 (base 8) to base 3. -200002 What is 5442 (base 6) in base 11? a37 What is -46e (base 15) in base 6? -4352 Convert 7463 (base 9) to base 12. 3210 Convert -345303 (base 7) to base 2. -1111000111000010 What is -16a4 (base 12) in base 4? -222130 What is -25610 (base 12) in base 7? -301440 What is -700 (base 8) in base 6? -2024 What is 115323 (base 7) in base 3? 1001221000 -10b57 (base 12) to base 11 -15902 -11524 (base 9) to base 14 -2b53 104154 (base 6) to base 5 234320 What is 3204 (base 6) in base 8? 1324 -89c3 (base 16) to base 15 -a6b2 Convert -12100101 (base 3) to base 14. -15c6 Convert -11b50 (base 12) to base 13. -ac86 What is -264041 (base 7) in base 6? -1020445 -122043 (base 6) to base 12 -6323 104113 (base 7) to base 15 560d What is 2121212020 (base 3) in base 15? 1048c What is -4622 (base 7) in base 11? -129a What is -44222 (base 6) in base 2? -1011111110110 7839 (base 10) to base 13 3750 Convert 10001111001 (base 2) to base 4. 101321 -4c8 (base 13) to base 16 -348 What is 1064 (base 15) in base 10? 3469 What is 17a8b (base 12) in base 8? 103113 Convert 1345244 (base 6) to base 13. 2899c Convert -147 (base 13) to base 6. -1020 What is -1176 (base 8) in base 2? -1001111110 10001000 (base 2) to base 6 344 1220102211 (base 3) to base 7 214216 What is 2a4 (base 13) in base 16? 1d8 248 (base 9) to base 5 1311 -3210 (base 5) to base 6 -1554 Convert -751 (base 9) to base 16. -265 What is 101221202 (base 3) in base 6? 100545 What is 1000011011000 (base 2) in base 14? 1800 What is -2427 (base 16) in base 15? -2b20 Convert -36605 (base 7) to base 8. -22530 Convert -13a4 (base 15) to base 10. -4204 23221 (base 5) to base 10 1686 What is -1552 (base 8) in base 6? -4014 Convert -27e (base 15) to base 12. -3b5 What is 36016 (base 8) in base 9? 23072 -47c6 (base 13) to base 9 -14808 747 (base 11) to base 12 62a Convert 20200121 (base 3) to base 4. 1030030 Convert -106c (base 13) to base 11. -179a Convert 413 (base 5) to base 9. 130 Convert 3a37 (base 11) to base 3. 21012012 f3c (base 16) to base 13 1a10 Convert 1118 (base 10) to base 3. 1112102 Convert 128 (base 9) to base 16. 6b -1533 (base 8) to base 4 -31123 What is -4512 (base 7) in base 16? -65a What is -93e (base 15) in base 4? -200210 What is 20021211 (base 3) in base 15? 155a What is -37327 (base 12) in base 11? -511a0 What is 1905 (base 13) in base 7? 13566 Convert 1253 (base 10) to base 13. 755 Convert -b51 (base 12) to base 4. -121231 12022 (base 3) to base 16 8f -1400 (base 7) to base 9 -658 What is 10c3 (base 15) in base 4? 313212 What is -99 (base 12) in base 11? -a7 Convert -20b (base 13) to base 5. -2344 Convert 14754 (base 9) to base 2. 10011101101101 Convert -105206 (base 9) to base 4. -33112032 906 (base 12) to base 11 a84 What is 72751 (base 8) in base 10? 30185 What is 241 (base 10) in base 16? f1 What is 5157 (base 8) in base 6? 20211 What is 11211323 (base 4) in base 14? 84c3 Convert 5521 (base 8) to base 13. 141b Convert 3a9 (base 11) to base 13. 2b1 What is -14767 (base 8) in base 13? -3044 What is -802 (base 9) in base 10? -650 What is -100030 (base 4) in base 7? -3010 -991 (base 16) to base 6 -15201 What is -2000 (base 4) in base 15? -88 -7446 (base 11) to base 4 -2121323 What is -13334 (base 5) in base 4? -101012 -1a7 (base 11) to base 2 -11101110 Convert 331230 (base 4) to base 5. 111243 What is 110020 (base 4) in base 15? 5ad What is 32324 (base 5) in base 8? 4246 1894 (base 16) to base 10 6292 -2143 (base 11) to base 2 -101100001110 What is -11101111110 (base 2) in base 5? -30133 Convert 7838 (base 10) to base 5. 222323 What is 1612 (base 8) in base 13? 549 Convert 3200 (base 8) to base 13. 9b0 Convert 241 (base 16) to base 2. 1001000001 What is -211320 (base 5) in base 15? -2175 11538 (base 9) to base 7 31352 What is 12065 (base 11) in base 8? 41736 Convert 52844 (base 9) to base 5. 2104301 Convert -1561 (base 7) to base 5. -10011 Convert -700 (base 9) to base 6. -2343 2010212 (base 3) to base 13 932 What is 2655 (base 10) in base 11? 1aa4 Convert 1550 (base 7) to base 16. 26f What is 27863 (base 9) in base 12? ab56 Convert -2371 (base 8) to base 7. -3466 Convert -121 (base 12) to base 14. -c1 Convert -1743 (base 11) to base 8. -4261 12013 (base 4) to base 10 391 -538 (base 12) to base 4 -23330 33304 (base 5) to base 4 210121 12a (base 15) to base 11 221 Convert 3130 (base 7) to base 13. 667 -11212022 (base 3) to base 10 -3545 What is 3e (base 16) in base 8? 76 -2331232 (base 4) to base 2 -10111101101110 What is 1110100 (base 2) in base 16? 74 -112201122 (base 3) to base 10 -10736 -47044 (base 10) to base 16 -b7c4 Convert 1103 (base 5) to base 16. 99 Con
{ "pile_set_name": "DM Mathematics" }
for h. 0 Suppose -32*m = -28*m - 4. Solve 2*s = 3*h - m, -4*h + h - 9 = 3*s for h. -1 Suppose -10*k + 81 = -9. Solve -4*h - k = a, -h - 12 = 2*h - a for h. -3 Let g = -485 - -490. Suppose -4*i - 8 = 2*d - 0*i, 4*d + 4*i = -8. Solve d = -g*m + 5*t - 5, -2*t = 4*m - 4*t for m. 1 Let b = 80 - 57. Solve 5*l + 3*d + 7 - b = 0, -8 = -3*l - d for l. 2 Suppose 0 = 60*k - 56*k - 16. Solve -5*c = k*d + 9, 0*d + 2*d - 18 = 2*c for d. 4 Let q(t) = t**2 + 4*t - 4. Let m be q(-4). Let u = m - -7. Suppose u*k = -3*x - 3, 2 = 2*x + 12. Solve -k*o - 2 + 6 = 0, -4*b = o - 9 for b. 2 Let w = -18 + 18. Solve 3*k - k = -8, 2*l - 5*k - 28 = w for l. 4 Suppose 15 = 5*j - 2*j. Suppose 4*x - 17 = -j*d, -x - 7*d + 3*d + 7 = 0. Solve 0 = -5*r + x*m - 7, -3*r - 3*m + 17 = 2*r for r. 1 Let u = 41 - 25. Let s = -24 + u. Let c = -4 - s. Solve -2*i = c*g + 8, 6 = -2*g + 4 for i. -2 Let a(h) = h - 7. Let z be a(9). Let b be z - 2*3/(-6). Suppose 4*d = -4, -b*d = -u - d + 4. Solve -4*o = 4*x + 32, u*x + 0*x + 4*o + 22 = 0 for x. -5 Suppose 3*y = 39 - 12. Suppose 3*a + m + 1 = 6, -m - y = -4*a. Solve 2*c + 5*r = c + a, -5*c + 5*r + 10 = 0 for c. 2 Suppose -12 = -3*m + 3*y, 2*y = -4*m + 2*m + 8. Solve -m*v + 19 = -3*n, -5*n + v - 5*v = -11 for n. -1 Let g = 7 + -5. Let n be (1/3)/((-16)/(-48)). Solve 0 = f - n, g*c = 4*c + f - 5 for c. 2 Suppose 4*o + 195 + 1 = 0. Let v be (-133)/o - 4/(-14). Solve 3*x + 1 = 5*l + 4, -4*l - v = -3*x for x. 1 Let n be (-4)/18 - (-2)/9. Suppose 3 - 9 = 2*b. Let c be (b/4)/(4/(-16)). Solve n*t + 3*w - c = 3*t, -3*w - 17 = t for t. -5 Let u(q) = -q + 10. Suppose l + 22 = 4*z, 4*l = l - 6. Let m be u(z). Suppose x = -2*c, m*c - 22 = -3*x + 6*x. Solve -c = -3*b - 5*t - 8, -3*b - 2*t = -3 for b. 3 Let q be 8/(-12) - 28/(-6). Solve 3*y - 14 = -y + 2*d, 0 = q*y + 2*d - 18 for y. 4 Let c(p) = -p**3 - 4*p**2 - 6*p - 7. Let t be c(-4). Solve a - 7 = -v - 4, t = 3*a + 5*v for a. -1 Let n be 3/5 - (-18)/(-30). Solve -b + n*i + 4 = 3*i, i = 0 for b. 4 Let w = 22 + 5. Let h be (w - -2 - 1) + 2. Solve 5*a + h = b, 5*a - 4*b = -36 - 9 for a. -5 Let x(q) = -q**2 - 7*q - 6. Let l be x(-4). Let d(h) = -h**3 - 6*h**2 - 6*h. Let z be d(-5). Solve -2*i + 2*k = l*k, 4*i - 6 = -z*k for i. 4 Let p be 5/(-1)*8/10. Let r = -2 - p. Solve -5 + 23 = 3*c + 3*o, 4*o = -r*c + 16 for c. 4 Let d(o) = -o**2 + 6*o + 8. Let k be d(6). Solve j - 3*j = 4*l + k, 0 = -4*j - 4*l - 8 for j. 0 Let i(r) = -r**3 + 12*r**2 + 12*r + 16. Let m be i(13). Solve 2*h - p = -0 - 10, 0 = m*h - 4*p + 20 for h. -4 Let k = -3 - -6. Let l be 7 - (1 - 0 - 2). Suppose k*b = l*b - 5. Solve -q - q = -f + 3, -4*q - b = -f for q. 1 Let a = 3 - 0. Suppose 5*o - 4*f - 56 = 0, 4*f + 5 = o - a. Suppose 78 = 2*n + 2*n + 2*y, -o = -4*y. Solve 0 = 4*z - 3*z + 3*q + n, 0 = -4*z - q - 17 for z. -3 Let g(v) = v**2 - 13*v - 12. Let b be g(14). Solve -2*z - 6 - b = 2*r, 2*z + 4*r + 6 = 0 for z. -5 Suppose 4*s = 5*p - 2 + 17, 3*p + 2*s = 13. Let w = 55 + -51. Solve 3*j - p + 17 = -5*v, 2*v - w = 4*j for j. -2 Suppose -6*y = 14*y - 80. Solve -3*t = 5*q - 6, -5*t + 3*q = y*q - 10 for t. 2 Let r = 22 + -4. Solve 3*b + 3*l - 14 = 2*l, 4*b = -l + r for b. 4 Let f = -14 + 17. Solve 4*v + 4*j - 12 = 0, 5 = v + f*j - 0 for v. 2 Let r = -24 + 36. Let v = -12 + r. Solve v = -2*y - 2*y + 3*z + 20, 4*z = 5*y - 26 for y. 2 Let n be 4*(-3)/6 - -4. Solve 0 = 4*s - 2*v + 8, 3*s + 4*v - n = -8 for s. -2 Let o = 24 - 10. Suppose 3*c + 12 = 0, -c = -q - 4*q + o. Let d be 21/12 - (-1)/4. Solve -r - 15 = -q*j - 3*j, d*j - 6 = r for j. 3 Let c(q) = -q + 6. Let s be c(5). Let o = 4 - s. Solve 5*b - 4*r - 41 = -11, -3*b - o*r - 9 = 0 for b. 2 Suppose 4*l - 4*a = 0, 0 = l + 3*l - 5*a + 2. Let n be 27/(-18)*(-4)/3. Solve -n*s - 10 = -4*y, 2*y + l*s = y for y. 2 Suppose 16 = 7*c - 3*c. Suppose -2*j + o - 8 = -o, o = c. Suppose 2*a = 6 - j. Solve 0*z - a*z = 3*x + 9, -2*x = -z + 9 for z. 1 Let m(v) = -v**3 + 9*v**2 - 6*v + 5. Let i be m(8). Solve -2*y = -4*p - 18, 0*p = -4*y + 3*p + i for y. 3 Suppose 12 = 5*p - p. Let t(g) = 2*g**3 + 3*g**2 - 6*g + 3. Let x be t(2). Solve -4*w - 5*o = x, 2 + p = w - 2*o for w. -1 Let t be (-6)/5*(-10)/4. Suppose 12 = g + t. Solve -a + 3*l + g = 0, -2*a + 4 = l + 7 for a. 0 Suppose -6 = -2*a - 2. Solve -o = 3*y - 2, -y - 2*o + a = 4*y for y. 2 Suppose 3*i + 4*k + k = 30, 0 = -i + 3*k - 4. Suppose -i*s = -s. Solve -4*c + 2*g = -9*c + 28, s = -2*c - 2*g + 16 for c. 4 Suppose 2*f - 5*m + 22 = -f, 3*f + m = 8. Suppose 9 = -4*a + f. Let x = -2 - a. Solve n = -n - 3*w - 10, x = n + 5*w + 19 for n. 1 Suppose -3*x - 5*l + 4 + 42 = 0, -4*l = -5*x + 52. Solve -4*a + y - 3 = x, -a + 5*y = 18 for a. -3 Suppose -5 = -3*o - 11. Let j = o + 5. Solve -h = 2*b - 6, -h - 2 + 10 = j*b for b. 2 Let y(f) = -f**3 + 4*f**2 + 4*f - 6. Let g be y(5). Let v = -6 - g. Suppose 2*r = -x + 7*r, -v*r = -5*x. Solve -3*s - 2*p = -0*p - 9, -3*s - 4*p + 3 = x for s. 5 Suppose f + 1 = -0. Let k(y) = y - 6. Let t be k(4). Let j be 0*t*f/(-4). Solve -2 + 1 = -s, -2*l + 2*s - 12 = j for l. -5 Let o(w) = 1 + w**3 + 2*w**2 - w + 0 - 4*w**2 + w**2. Let k be o(2). Solve -2*z + z + 2*r - k = 0, -5*r = 4*z + 25 for z. -5 Let r = -90 - -97. Solve -5*f + 0 = -3*x + 5, 3*x = 4*f + r for f. 2 Let k = -4 - -7. Let r be (-80)/(-15) + (-1)/k. Let v be -1 - -5 - 0/r. Solve -o - v*d = 0, -5 = 5*o + 4*d + 11 for o. -4 Let f = 71 + -52. Solve 5*m - 21 - f = -5*y, 10 = 2*m for y. 3 Let x(u) = -u - 7. Let c be x(-12). Suppose 2*p - c*d = 4*p - 5, 50 = 4*p + 2*d. Solve -4*r + 29 + 1 = -5*l, -p = -3*r for l. -2 Let a = 64 - 16. Let f = a - 30. Solve 3*r = -5*d + 2*d + f, -3*d + 6 = 0 for r. 4 Suppose 11 = 2*v + 3. Let p be v - ((-24)/(-4) + -4). Solve -3*a + p*w + 16 = w, 5*a = -3*w + 8 for a. 4 Let j be 6/(-5)*(-90)/36. Solve z = -5*o + 18, 5*o - o - 3 = j*z for z. 3 Let j = 32 - 16. Suppose -4*o + j + 4 = 0. Solve o*d + 1 - 3 = -n, -d + 4*n = 8 for d. 0 Let u(t) = t**3 + 2*t**2 - 2*t + 6. Let w be u(-3). Solve 10 = 2*n + 4*i, w*i - i = 5*n - 25 for n. 5 Suppose 3*m - 4*f - 8 = 0, -7*f = -2*m - 2*f + 3. Solve 2*h = -m*r + 3*h + 1, -3*r - 23 = 4*h for r. -1 Suppose 2*f - 2*l - 5 = 7, 5*l = -5*f + 10. Suppose -6*z = -f*z. Solve -3*r = 2*r + 2*v + 4, 2*r - 5*v - 10 = z for r. 0 Let t = -75 + 78. Solve 3*y = t*i, 4*i + 0*y + 18 = -2*y for i. -3 Let s be (45/(-10) - -3)*-2. Solve 2*h = -s*h + 3*g - 3, 5*h - 2*g + 7 = 0 for h. -3 Let w(q) = -q + 12. Let g be w(7). Solve 0 = 2*c + 2*z, 0 = 4*c - g*c + z - 4 for c. -2 Let d be (1 - -1)*2/4. Let a be 3/6*(-1 + d). Let g = a + 2. Solve g*j + 3*z + 12 = 5*j, -2*j - 5*z + 8 = 0 for j. 4 Suppose -p = v - 11, 0*p + 2*p + 4 = 0. Let s = v - 20. Let j = s + 12. Solve -c = 5*y + 28, -2*y = -j*y + 4*c - 3 for y. -5 Suppose 2*h + 14 = 2. Let n = h + 6. Solve w + 3 = 2*l + 7, n = 4*w + 4*l - 16 for w. 4 Let w(u) = -u**2 - 5*u + 4. Let b be w(-6). Suppose -2*f + 5*f - 2*a - 18 = 0, 0 = -5*f - 4*a + 8. Let c = b + f. Solve c*d + 4*m = 4*d + 4, -3*m = -9 for d. 4 Let b(j) = -j**2 + 12 - 7 - 7*j + 0*j**2 + 3*j**2. Let f be b(5). Let g be (-2)/2 + 2 + 4. Solve 5*t - 2*a = 10 + 2, g*a = f for t. 4 Let b(a) = 4 - 5 + 3 + a. Let x be b(-4). Let u be x/(-2) + (0 - -7). Solve 4*y = -3*p + u*y + 16, p - 8 = 2*y for p. 0 Let a = 4 + -7. Let y = 2 - a. Solve 0 = d + 3*m + 2*m + 16, -m + 16 = y*d for d. 4 Let h(y) be the third derivative of 0*y - y**2 + 1/2*y**3 + 0*y**4 + 0 - 1/120*y**6 + 1/20*y**5. Let z be h(3). Solve 1 = -3*a + 5*l + z, -3 = -2*a + 5*l for a. -1 Let a be (0 + -1 - -1)/(46 - 45). Solve -5 = 5*b - 3*j, a = -2*b - j + 2 + 7 for b. 2 Let g = -10 - -14. Let p(h) = 2*h - 18. Let q be p(10). Solve 5*x = g*w + 1, x = -q*w - w + 4 for w. 1 Let b = 9 + -7. Let d(w) = w**2 + 1. Let u be d(-2). Solve 3*j = -u*y + 6*j + 32, -20 = -b*y + 3*j for y. 4 Suppose 0*v + v - 2 = 0. Let r(j) = 2*j**2 - 3*j**2 - j + 2*j**2 + 4*j - 6. Let t be r(-5). Solve 5*z + 4*s = 0, -t*z - 1 - 25 = -v*s for z. -4 Let o = 23 + -23. Solve 0 = -2*z - 4*c + 6, 0 = z - 2*c - o*c + 1 for z. 1 Let q(j) = -j**3 - 8*j**2 - 5*j + 6. Let d be q(-7). Let r be (-2)/(d/28) + 2. Solve 2*u = m - 3, 0*m - r = u - 2*m for u. 1 Let i(a) = -5*a - 1. Let f be i(-1). Let o = 5 - 0. Solve o*d + 1 = -2*g + 5*g, -4*d - f = -4*g for d. 1 Let g be 0/(-2 + 0 + -2). Suppose -8 - 17 = -5*s. Solve -3
{ "pile_set_name": "DM Mathematics" }
6710521 or 6710539? 6710539 Is 323958089 at least 323958091? False Which is smaller: 1 or 45366/18343? 1 Which is smaller: 637184 or 637181? 637181 Which is bigger: 26481262 or 26481265? 26481265 Which is smaller: -1 or -9/60879242? -1 Which is greater: 245215037 or 245215038? 245215038 Which is smaller: 1/2 or 269206/11? 1/2 Which is greater: -6/139915241 or 1? 1 Is 16040785 less than or equal to 16040810? True Which is smaller: 3726067 or 27.1? 27.1 Which is greater: -4/95081027 or -1? -4/95081027 Is 862 greater than -12596? True Which is bigger: 396/191425 or -1? 396/191425 Are -2459850449 and -2459850449 nonequal? False Is -46/3 at most -21867? False Which is bigger: -173 or -261511/1508? -173 Is 10004 less than 10223? True Which is bigger: 20560 or 1044? 20560 Is 75261938 greater than 75261945? False Are -3958873 and -3958885 equal? False Is 1497400667 at most 1497400667? True Which is greater: 1 or 45/657917? 1 Which is smaller: 3235819/181 or 17877? 17877 Is 595037180 smaller than 595037179? False Which is bigger: 1620951 or 2/35? 1620951 Which is smaller: -857/8523 or 1? -857/8523 Which is greater: 5802 or 678910/117? 678910/117 Which is bigger: -0.4 or 2851522? 2851522 Is 4938432 greater than 19753731/4? False Is 32/1032133 at least as big as 1? False Is 16996 <= 19402? True Which is smaller: -4 or 6046722? -4 Which is bigger: 16/88933 or 1? 1 Are -40186671 and -281306696/7 non-equal? True Which is bigger: 4626 or 1882208/407? 4626 Which is bigger: 65177 or 3? 65177 Which is smaller: 0 or -5/696186969? -5/696186969 Which is smaller: 0.9 or -7063934? -7063934 Which is bigger: -317227 or 2/13? 2/13 Which is greater: -3 or -8323/4568? -8323/4568 Which is smaller: 3 or 14921291? 3 Which is smaller: 134335 or -2958? -2958 Do 3133277 and 3133249 have the same value? False Are 422632 and -132 unequal? True Which is greater: -8494 or -475? -475 Which is bigger: 380 or 1647420/4321? 1647420/4321 Is 10642720 smaller than -1/2? False Which is smaller: -933310 or -933298? -933310 Which is smaller: -11856 or -9135? -11856 Which is smaller: -311/143973 or 1? -311/143973 Which is greater: 260214/881 or 296? 296 Is 0 != 587/29027? True Which is smaller: -19568/17 or 72? -19568/17 Is 16533224 less than 16533191? False Is 0 != -383933600? True Which is smaller: 2/345168477 or -1? -1 Is -9/17 at least as big as 13701/5? False Which is smaller: 128082 or 128066? 128066 Does 4/21392723 = 1? False Which is smaller: 44 or 37243/840? 44 Are -0.585 and 5699 non-equal? True Is -6590984 not equal to -6590991? True Is -545119932 greater than or equal to -545119931? False Which is smaller: 1167972 or 1167954? 1167954 Is 1 bigger than -516/134437? True Which is bigger: 561243 or 560877? 561243 Is 0 smaller than 4/74406925? True Do 112160 and 18 have different values? True Which is bigger: -1/396867 or 0.0764? 0.0764 Is 0.0853 greater than or equal to -0.3286? True Which is smaller: -386738113 or -386738114? -386738114 Which is bigger: 0.57 or 9136/11? 9136/11 Is 30/43 at least as big as 0.234? True Is -0.2 at least as big as 27057348? False Which is greater: -78239 or -76763? -76763 Do 0 and -1/17273270 have different values? True Is -160518446 greater than -160518446? False Do 1 and 213/2569340 have different values? True Which is bigger: 649 or 7538? 7538 Which is greater: -535521 or -4819702/9? -535521 Which is greater: -14976 or -14648? -14648 Is -10573 not equal to -13605? True Which is smaller: -1/4 or -13059957? -13059957 Which is smaller: 1 or 2/308005117? 2/308005117 Are 10799 and 11300 nonequal? True Which is smaller: 81176/21119 or 4? 81176/21119 Which is greater: -86 or 4031? 4031 Which is smaller: -5 or 193469561? -5 Is 18156994 bigger than 0.1? True Which is greater: -5061038 or -5060992? -5060992 Which is smaller: 0 or -129/227377? -129/227377 Which is smaller: -112 or -59995/534? -59995/534 Which is smaller: -126180 or -126219? -126219 Which is smaller: 1238300/543 or 2281? 1238300/543 Which is smaller: 0.01 or 2404561? 0.01 Which is greater: -14/1147 or 2.5332? 2.5332 Is 1 at most as big as -2575951204? False Which is smaller: -6 or 132627577? -6 Is 1940 at least 18605? False Which is greater: -18678 or -18215? -18215 Which is bigger: -1397178/103 or -13565? -1397178/103 Is -123021519/2 less than -61510759? True Which is bigger: 2112.1 or 18.7? 2112.1 Is -3272667 < -3272674? False Do -3561866 and -3561866 have the same value? True Is -19 at most as big as -16.589? True Is 29790226 at least 29790231? False Is -404260 greater than -404244? False Which is smaller: 6 or 2046/337? 6 Which is bigger: -6473802 or -6473804? -6473802 Is -3481427 < -3481427? False Are 52543 and 2994902/57 equal? False Is -35045843 at least -35045841? False Does 1 = 1587/11282? False Which is greater: 4942555/12 or 411879? 4942555/12 Is 8909800 at most -4? False Which is smaller: 31840 or -3/169? -3/169 Is -1182 bigger than -1499? True Does 0 = -7/85237568? False Is 21.3 < -2/199629? False Which is smaller: 1428 or 72817/51? 72817/51 Which is bigger: -1666373/323 or -5160? -1666373/323 Is -179426 greater than 0.05428? False Is -1805234 greater than 4/3? False Which is smaller: 19894306 or 19894317? 19894306 Are 163 and -24427/40 non-equal? True Which is smaller: 210 or 0.08243? 0.08243 Which is greater: -1 or 4/410573397? 4/410573397 Is 44 >= 93411/2123? True Is -89287 at least -9553650/107? False Which is smaller: 76/3 or 333431? 76/3 Is -888417186 less than or equal to -888417186? True Do -6655 and 84437 have the same value? False Which is bigger: -36194283 or -36194284? -36194283 Which is greater: -12741205 or -12741207? -12741205 Which is smaller: -3/5 or 249/126950? -3/5 Which is bigger: -699280/11 or -63572? -699280/11 Is 13/23 > -240556.7? True Are 4/520003259 and 1 nonequal? True Which is greater: -1/2692308 or -1? -1/2692308 Which is smaller: 20/21 or 141205? 20/21 Which is greater: -101444 or -101519? -101444 Which is smaller: -17094183 or -17094192? -17094192 Which is bigger: -2 or -2679183? -2 Is 1 >= 10/12589961? True Is 325055 smaller than 325055? False Which is greater: 4 or 1.2553566? 4 Is -89540981 <= -89540981? True Is 174/169393 < 0? False Is 56825048 not equal to 56825048? False Does 4/233646851 = 1? False Which is bigger: 1 or 1/683398872? 1 Is 35335 less than or equal to 2508704/71? False Is 0.6 smaller than 7894551? True Which is smaller: -4033726 or -4033693? -4033726 Is -38504984 >= -38504985? True Which is smaller: -28764 or -1064322/37? -1064322/37 Do 17 and -239723 have the same value? False Which is greater: 4/13760529 or 0? 4/13760529 Is 13/14255876 equal to -1? False Which is smaller: 1/639075948 or -1? -1 Which is greater: -14511266 or -14511265? -14511265 Which is greater: 2327689 or 2327692? 2327692 Is -99761560 greater than -99761564? True Which is greater: -3 or -339228961? -3 Is -9899989 less than -29? True Is 2113957 smaller than 2113966? True Which is bigger: 0.05756 or -229745? 0.05756 Is -2463 bigger than 0.1466? False Is -212733 >= -18? False Are -18650685 and -3 unequal? True Which is bigger: 5959600 or 29798002/5? 29798002/5 Is -696112 >= -696112? True Is -57747 bigger than -1559135/27? False Is -7765231 at least -46591387/6? True Is -76055204 smaller than -152110405/2? True Which is smaller: 445867461 or 445867463? 445867461 Which is bigger: 5 or 23399/54? 23399/54 Do -9976660 and -9976659 have the same value? False Are 560513838/13 and 43116450 equal? False Is -709140985 at most -709140986? False Is -1814/88499 <= 0? True Is 53088 not equal to 6635956/125? True Which is bigger: -6047811 or -6047808? -6047808 Is -2/641 greater than 0.534? False Is -177/3175997 != -1? True Which is bigger: 68 or 1/24430? 68 Is 1 less than 3/19412560? False Is 521 at most as big as 805/3? False Is 252111 at least as big as 252124? False Which is smaller: 91483043 or 3/14? 3/14 Are 411556/1977 and 207 unequal? True Which is smaller: 8782 or 7404? 7404 Is -0.01 less than or equal to -448/1473? False Is 3/5 at most as big as 1136563.9? True Is -20625958 less than -0.4? True Which is greater: 0 or -87426514? 0 Are -1003483 and -1003527 equal? False Which is smaller: -1428741 or -41433468/29? -1428741 Are 5118 and 19297 nonequal? True Which is great
{ "pile_set_name": "DM Mathematics" }
z? 2 Let r = -2 + 7. Let n(z) = z**3 - 2*z + 2. Let p be n(2). Let v(h) = h**2 - 6*h + 2. Calculate the remainder when r is divided by v(p). 1 Let o = -1 - -1. Suppose -4*k + 124 = -3*c - 0*c, 2*k + 4*c - 40 = o. Let u = 41 + -26. Calculate the remainder when k is divided by u. 13 Let b(c) = 33*c - 5. Calculate the remainder when b(2) is divided by 8. 5 Let p(o) = -o**3 + 5*o**2 + 4*o - 2. Let j be p(6). Let z = j + 25. Let n = 3 - -17. What is the remainder when n is divided by z? 9 Suppose 7*v = -45 + 220. Let r be (-34)/(-8) + (-2)/8. Suppose 63 = r*t - v. Calculate the remainder when t is divided by 12. 10 Let r(d) = -1. Let v(z) = -z. Let j(t) = -r(t) - v(t). Let k be j(-1). Suppose -3*y + k*m = -m - 40, -y = -3*m. Calculate the remainder when 44 is divided by y. 14 Suppose -o - 4*o + 90 = 0. What is the remainder when 33 is divided by o/4*16/6? 9 Let v be (2 + 0)*(-9)/(-6). Suppose 0 = 2*g + v*g - 65. What is the remainder when g is divided by 5? 3 Let r be 1/(-3) + (-20)/(-15). Let y = r - 6. What is the remainder when 3 + y - (-15 - -1) is divided by 7? 5 Calculate the remainder when 35 is divided by -7*3/(21/(-10)) + -2. 3 Calculate the remainder when ((-3)/2)/((-3)/44) is divided by 9. 4 What is the remainder when 1015/49 - (-2)/7 is divided by 8? 5 Let v = -6 - -29. Suppose 42 = 4*k - 3*p, 6 = p + 2*p. Let u = k - 0. Calculate the remainder when v is divided by u. 11 Suppose 2 = 4*h - 14. Suppose i - 20 = -i. Suppose -j + i = h. Calculate the remainder when 10 is divided by j. 4 Let f = 56 - 33. Let a(h) = 2*h**2 - 2. Let g be a(2). Calculate the remainder when f is divided by (g/5)/(3/30). 11 Let a be (-2)/4 - 52/8. Let i = -2 - a. Suppose i*o = -2 + 122. What is the remainder when o is divided by 13? 11 Suppose 0 = 5*y - 3*q - 335, 0 = 5*y + 3*q - 168 - 167. Suppose -4*b - 2*o + 38 = 0, 5*b - y = -3*o + 7*o. Calculate the remainder when 19 is divided by b. 8 Suppose 3 = 3*p, -5*d + 4*p + 0*p = -81. Suppose 2*i - 19 = d. Calculate the remainder when i is divided by 5. 3 Let u(m) = -m + 7. Let g be u(5). Suppose -7*r = -g*r. Suppose -w + 6 + 11 = r. Calculate the remainder when 33 is divided by w. 16 Let j(s) = s**3 + 8*s**2 - 2*s - 4. Suppose 0 = -8*c + 4*c - 32. Let i = 117 - 83. Calculate the remainder when i is divided by j(c). 10 Let j(p) = 2*p**2 + 2*p + 1. Let y(d) = d. Let o(f) = -f - 6. Let q be o(-3). Let v be y(q). What is the remainder when j(v) is divided by 5? 3 Suppose -7*w = -5*w - 106. Let o = 30 - 16. What is the remainder when w is divided by o? 11 Let y(o) = o**3 + 7*o**2 - 9*o + 1. Let k be y(-8). What is the remainder when 10*(-6)/k*-3 is divided by 11? 9 Suppose 0 = 8*w + 3 - 51. Suppose -5*p + 52 = -28. What is the remainder when p is divided by w? 4 Suppose 0 = -0*u + 5*u - 15. Suppose u*i = 4*b - 296, b = 2*b - i - 75. What is the remainder when b is divided by 24? 23 Suppose 0 = v - 0*v - 17. Suppose -d - 3 + v = 0. Suppose 0 = t + 3*u - d, 5*t - t = u + 17. Calculate the remainder when t is divided by 3. 2 Let u(l) = 13*l - 83. Calculate the remainder when 59 is divided by u(8). 17 Suppose 0 = -2*a - a. Suppose -2*p + 0 + 16 = a. Calculate the remainder when 3/9 - 130/(-6) is divided by p. 6 Let n(v) = -8*v - 16. What is the remainder when 37 is divided by n(-5)? 13 Let q = -29 - -46. Let b = 173 - 124. Calculate the remainder when b is divided by q. 15 Suppose -i + 5*i - 168 = 0. Let b = i + 23. Calculate the remainder when b is divided by 17. 14 Let c be (-2)/4 - (-5)/2. Suppose -7*s + c*s = -40. Calculate the remainder when 22 is divided by s. 6 Suppose -3*x + 2*x + 5*j = 4, -50 = -4*x - 2*j. What is the remainder when 30 is divided by x? 8 Let d = 256 - 136. Calculate the remainder when d is divided by 25. 20 Calculate the remainder when ((-11)/55)/((-2)/290) is divided by 2*1/2 + 7. 5 Suppose 5*g - 2*g = 291. Calculate the remainder when g is divided by 25. 22 Suppose -5*z + 61 = 4*r, 0 = -2*r + 5*r + 3. Calculate the remainder when 50 is divided by z. 11 Let c(p) = -p + 1. What is the remainder when 27 is divided by c(-9)? 7 Let q(y) = -1 + 7 + 4*y - 1 + 4*y + y**2. Let f be q(-8). Suppose -f*a = -2*a + o - 32, 2*a - 3*o = 14. What is the remainder when 19 is divided by a? 9 Suppose 153 = 3*u + 36. Calculate the remainder when u is divided by 14. 11 Suppose -7*i = -6*i - 19. What is the remainder when 37 is divided by i? 18 Suppose 0 = 5*s - 0*w - 2*w - 875, 0 = 5*s + 4*w - 875. Suppose 5*f - 60 - s = 0. Calculate the remainder when f is divided by 12. 11 Suppose 13 + 35 = 4*t. Suppose 0*q + 130 = -2*q. Let l = -31 - q. Calculate the remainder when l is divided by t. 10 Let n(s) = -s**3 - 10*s**2 - 11*s + 1. Suppose 5*r - 7*r + 14 = 0. Calculate the remainder when n(-9) is divided by r. 5 Suppose 3*v - 10 = 26. Suppose 169 = 9*n - 38. What is the remainder when n is divided by v? 11 Let h(z) = -5*z - 10. Let c be h(7). Let v = c + 64. What is the remainder when 55 is divided by v? 17 Let l(f) = -f**2 - 5*f + 4. Let z(k) = -k + 1. Let r(x) = -l(x) + 6*z(x). Suppose 3*q - 2*q = -4. What is the remainder when r(q) is divided by 8? 6 Suppose -n + 25 = 5*s, 3*s + 0 = -3. Calculate the remainder when n is divided by 11. 8 Let v(w) = -w**2 - 5*w + 6. Let n(s) = -s**3 - 4*s**2 + 2*s + 3. Let l be n(-4). Calculate the remainder when 3/(-2)*32/(-3) is divided by v(l). 4 Calculate the remainder when (-120)/(-4)*8/3 is divided by 9. 8 Let p(s) be the first derivative of -9*s**2/2 + s - 3. Let w(i) = -2*i**3 + i - 1. Let k be w(1). What is the remainder when p(k) is divided by 7? 5 Let o(f) = 2*f - 1. Suppose -3*h = k - 8 - 9, -4*k = 4*h - 28. What is the remainder when 8 is divided by o(k)? 2 Suppose -44 + 12 = -4*m. Suppose 0*u - m = 2*u. Calculate the remainder when 18/u*2/(-3) is divided by 3. 0 Suppose 0 = -3*q + 7*q - 100. Calculate the remainder when 74 is divided by q. 24 Let c(i) = -i**2 + 7*i + 2. Let d be c(5). Let a = -1 + d. What is the remainder when 31 is divided by a? 9 Suppose -j + 27 = 2*j - r, -5*r - 36 = -4*j. What is the remainder when j is divided by 4? 1 Suppose 0 = -2*w + 3*w - 7. Calculate the remainder when 18 is divided by w. 4 Let b be (2 + -7)/(2/6). Let z be 4/(-10) - 6/b. Suppose z = 5*h + 5*r - 35, -2*r = -h + 6*h - 26. Calculate the remainder when h is divided by 3. 1 Calculate the remainder when 8 is divided by (-5)/(5 + 0)*-3. 2 Let g(m) = -m**3 - 4*m**2 + 6*m + 12. Calculate the remainder when 11 is divided by g(-5). 4 Let m be 366/10 - 30/(-75). Let d = m + -26. Calculate the remainder when 21 is divided by d. 10 Let g(k) = 4*k**2 + 2. Let u be 2 + 0/2 + 1. What is the remainder when g(-2) is divided by 0 + 11 + (2 - u)? 8 Let q = -13 + 34. Suppose -3*r - 6 = -q. What is the remainder when r is divided by 4? 1 Suppose 32 = -l + 3*l. Calculate the remainder when 31 is divided by l. 15 Suppose -25 - 2 = -9*d. What is the remainder when 11 is divided by d? 2 Calculate the remainder when -2 + 5/((-5)/(-12)) is divided by 1/(-4)*(-14 + -2). 2 Let s(v) = -9*v - 2. Suppose 0 - 3 = -g. Calculate the remainder when (2/g)/((-6)/(-171)) is divided by s(-1). 5 Suppose -g = j - 0*g - 72, -3*j + g = -220. Calculate the remainder when j is divided by 25. 23 Let t(k) = -2*k + 5*k + 0*k - 9. Let c be 2*-1 + 1 - -10. What is the remainder when t(c) is divided by 10? 8 Suppose -6*m = -2*m - 12. Suppose m*u + 2 + 3 = c, -4*u + 5 = c. Suppose o + 222 = 5*z, 5*z + 3*o = -u*o + 214. What is the remainder when z is divided by 15? 14 Suppose 4*k - 15 - 9 = 0. Suppose 2*q - k*q + 29 = -3*l, 5*q - 3*l = 40. Calculate the remainder when q is divided by 7. 4 Let u(j) = -4*j - 11. Calculate the remainder when 49 is divided by u(-7). 15 Suppose -4*t - 106 = -5*a, 0 = 2*a + 4*t - 17 - 31. Suppose 8 = 2*n, -4*n + 3*n - 76 = 4*i. Let j = -12 - i. Calculate the remainder when a is divided by j. 6 Suppose 3*k - 4*o - 60 = -0*k, 0 = -5*k - 2*o + 74. Calculate the remainder when k is divided by 6. 4 Let g be (-3)/2*20/(-6). Suppose g*t + 4*d = 6*d + 214, 0 = -5*t + 3*d + 211. Suppose -2*k + 0*k = -30. Calculate the remainder when t is divided by k. 14 Suppose 2*i + 28 = 3*i. Suppose j = -3*j + i. Calculate the remainder when j is divided by 2. 1 Let c = 118 - -33. Suppose -5*a - 11 = -c. Calculate the remain
{ "pile_set_name": "DM Mathematics" }
2 Simplify (3*-2*sqrt(153))/(sqrt(225) + sqrt(225)*1 - sqrt(225))*-4. 24*sqrt(17)/5 Simplify -1 + 1*(sqrt(700) - -2*sqrt(700)) + ((sqrt(700) + 0)*-6)**2. 30*sqrt(7) + 25199 Simplify ((sqrt(336) - (sqrt(336) + sqrt(336) + (sqrt(336) - sqrt(336)*-2) + sqrt(336)))/sqrt(12))/(-3*sqrt(64)) + -1*sqrt(112) + -5 + sqrt(112)*-2*5. -523*sqrt(7)/12 - 5 Simplify ((sqrt(2112) + sqrt(2112)*-1 + sqrt(33))/((sqrt(176)/sqrt(4))/sqrt(4))*-3)**2. 27 Simplify -2 + (sqrt(42)/(sqrt(42)/(sqrt(49)/sqrt(7))) - (2 + sqrt(700) + 2)**2). -718 - 79*sqrt(7) Simplify 6*(1*3*sqrt(95))/(sqrt(40)/sqrt(128)). 72*sqrt(19) Simplify 1*(sqrt(2560)/sqrt(8) - (sqrt(35)/sqrt(7) + 3 - sqrt(5)))**2. -48*sqrt(5) + 329 Simplify 5 + 0 + 6*(sqrt(99) - (-1 + ((sqrt(99)*-1)**2 - sqrt(99)) - sqrt(99))). -583 + 54*sqrt(11) Simplify (sqrt(1584) + -1 + -5 + -6*(sqrt(1584) + 3) + -4)**2. 3360*sqrt(11) + 40384 Simplify (sqrt(72) - sqrt(72)*-1)/(sqrt(864)*-1) + -3. -3 - sqrt(3)/3 Simplify (3*((sqrt(45)/sqrt(5))/sqrt(3) - (sqrt(108) + -5 + sqrt(3))))**2. -540*sqrt(3) + 1197 Simplify (-1 + (sqrt(190)*-4*-1)/((sqrt(100) - (sqrt(100) + -2*sqrt(100)))/sqrt(10)))**2. -4*sqrt(19) + 77 Simplify -5 + 3*(-2 + sqrt(891) + 0 + 1)**2*1. -54*sqrt(11) + 2671 Simplify ((6*sqrt(351) - (5*sqrt(351) - sqrt(39)))/((sqrt(450)*2)/sqrt(6)))**2. 52/25 Simplify 5 + sqrt(1200) + 2*sqrt(1200) + 5*(1 + -1*sqrt(363))**2. -50*sqrt(3) + 1825 Simplify 5 + ((sqrt(315)/(sqrt(30)/sqrt(6)))/sqrt(9) + -5)**2. -10*sqrt(7) + 37 Simplify (-5 + 1*sqrt(143)/(sqrt(11) - (-5*sqrt(22)/sqrt(2) - sqrt(11))))**2 + -2. -10*sqrt(13)/7 + 1140/49 Simplify -6*((sqrt(304) + (sqrt(304) - (sqrt(304) + -2)) + -3)**2 + -4). -1806 + 48*sqrt(19) Simplify (sqrt(28)/sqrt(2)*2 - sqrt(224)/sqrt(4))/(-2*sqrt(252) - sqrt(252)). 0 Simplify (1*sqrt(64))/sqrt(8) + (-3*(-4 + sqrt(8)))**2. -142*sqrt(2) + 216 Simplify ((-2*sqrt(33)/sqrt(3) - (-2 + -2*sqrt(11) + sqrt(11))) + (sqrt(891) + -2)*6 + sqrt(891) + sqrt(891))**2. -1420*sqrt(11) + 55551 Simplify ((0 + sqrt(320) + sqrt(320))**2 + sqrt(320) + sqrt(320) + -3 + 0 + 0)*-2. -2554 - 32*sqrt(5) Simplify 1*((sqrt(68) - (0 + sqrt(68)))**2 + sqrt(17)) + -6*(sqrt(1700) + 0). -59*sqrt(17) Simplify (-1*((1 + sqrt(180))*-4 + -3*(0 + sqrt(20)))*3)**2. 2160*sqrt(5) + 40644 Simplify 3 + sqrt(36)/sqrt(192) - sqrt(24)/(sqrt(16)/sqrt(2)*6 - sqrt(8)). sqrt(3)/20 + 3 Simplify (sqrt(144)/(sqrt(8) - sqrt(72)))/((-1*sqrt(81))/sqrt(9)). sqrt(2)/2 Simplify (sqrt(225)/(sqrt(81) - 3*sqrt(81) - sqrt(9)))/(sqrt(40)/sqrt(2) - sqrt(20) - sqrt(450)/sqrt(10)). sqrt(5)/21 Simplify ((4 + sqrt(1872) + (sqrt(1872) + -1 - sqrt(1872)) + sqrt(1872))**2 - (2*sqrt(52)/sqrt(4) + -6*(sqrt(13) + sqrt(13)*2)**2)) + 1. 142*sqrt(13) + 8200 Simplify ((-2*sqrt(209) - sqrt(209) - sqrt(209))*5 + sqrt(209))/(sqrt(539)*-2 + sqrt(539)) + 1. 1 + 19*sqrt(19)/7 Simplify ((sqrt(245) + -3)**2 - sqrt(245))*-5 - (4 + sqrt(20) + 5)**2. -1371 + 209*sqrt(5) Simplify (4*sqrt(72) + 3)**2 + (2 + sqrt(400)/sqrt(2))**2. 184*sqrt(2) + 1365 Simplify ((2 + sqrt(34)/sqrt(2) - (sqrt(136)/(sqrt(64)/sqrt(8)) + sqrt(17))) + 3)**2. -10*sqrt(17) + 42 Simplify (-6*(-1 + sqrt(72))*1)**2 + (sqrt(8)*1*1)/(sqrt(28)/(sqrt(7) + sqrt(28))). -429*sqrt(2) + 2628 Simplify 0 + 2*(-4*(2 + sqrt(171)/(sqrt(36)/sqrt(4))) + 3). -8*sqrt(19) - 10 Simplify (6*((0 + sqrt(80))*-3 + (sqrt(80) - (sqrt(80) + -1)*-3))*4)**2 + 4. -13824*sqrt(5) + 51268 Simplify (-4*-6*(sqrt(36)/sqrt(100))/sqrt(3)*3*1)**2. 15552/25 Simplify sqrt(20)/(sqrt(4) - sqrt(16)/(-2*sqrt(4))) + -5 + (sqrt(105)/(sqrt(3)*2))/(sqrt(378)/sqrt(6)). -5 + 5*sqrt(5)/6 Simplify (-2*sqrt(95)*-4 + (sqrt(95) - sqrt(95)*-2*-3))/(sqrt(35)/(sqrt(28) - sqrt(7)) - ((sqrt(40) - sqrt(360)) + sqrt(40))/sqrt(8)). 3*sqrt(19)/2 Simplify (sqrt(624)/((sqrt(24) - -1*sqrt(24))/sqrt(2)))/(sqrt(44)/(sqrt(33)/sqrt(3) + sqrt(11)) - -2*sqrt(64)). sqrt(13)/17 Simplify 1*sqrt(28)/sqrt(4) + 5 - (-3*sqrt(847) + -5). 10 + 34*sqrt(7) Simplify 4 + ((sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171)*-3)*1))/(sqrt(1296) - (sqrt(1296) - (sqrt(1296) + sqrt(1296)*1 + sqrt(1296)))))**2. 343/81 Simplify 5 + (sqrt(88)/sqrt(2) + sqrt(44))/sqrt(4)*5 + (sqrt(275)/(sqrt(5)*-1))/sqrt(5). 5 + 9*sqrt(11) Simplify (-6*sqrt(539)*-4 + 0)**2 + 0. 310464 Simplify (sqrt(121)/(sqrt(11) + (sqrt(176) + -4*sqrt(176) - sqrt(176))))**2 - ((sqrt(396)*2)**2 + sqrt(1100) + 0). -356389/225 - 10*sqrt(11) Simplify -3*-1*sqrt(17) + 3 - (sqrt(153) + -4 + 1). 6 Simplify ((((1*sqrt(171) + sqrt(171))*4 - sqrt(171)) + sqrt(171) + sqrt(171) + 0 + sqrt(171) + sqrt(171) + 5 + sqrt(171))*4)**2 + -3. 5760*sqrt(19) + 394381 Simplify (sqrt(5) + (sqrt(5) - sqrt(135)/sqrt(3))**2)*1 - sqrt(40)/(-1*sqrt(800)). 11*sqrt(5)/10 + 20 Simplify ((-2*sqrt(2052)*-4)/(-6*-2*sqrt(3)*-2))**2. 76 Simplify -2*(-2*sqrt(363) + -1)*-6*3. -792*sqrt(3) - 36 Simplify ((1 + sqrt(448))*-2 - (sqrt(448) + -1 + -4))**2 + 2. -144*sqrt(7) + 4043 Simplify (4 + (sqrt(108)*1*-5 - (sqrt(108) + -5 + 1 + sqrt(108))))**2 + -5. -672*sqrt(3) + 5351 Simplify (sqrt(85)*1*-5*-4)/(sqrt(720)*2 + sqrt(720) + sqrt(20) + sqrt(20))*3. 3*sqrt(17)/2 Simplify (-1*-1*sqrt(15)*-3)/(((sqrt(550) - ((sqrt(550)*-2 + sqrt(550) - sqrt(550)) + sqrt(550)))/sqrt(11) - sqrt(50))/sqrt(10))*-4. 12*sqrt(3) Simplify (sqrt(22)/(sqrt(300)/sqrt(6)))**2 - ((sqrt(66) - 1*sqrt(66))*-2)/sqrt(6). 11/25 Simplify ((sqrt(88) - sqrt(88)*-2)*-3 + (sqrt(88) + (sqrt(88) + (sqrt(88) - sqrt(88)*1*1 - sqrt(88)) - sqrt(88)) - sqrt(88)))/(2*sqrt(48)/(sqrt(30)/sqrt(5))). -5*sqrt(11) Simplify (sqrt(144)*1 + sqrt(16) + sqrt(160)/(-2*sqrt(10)))/((sqrt(128) - (sqrt(128) + -2*sqrt(128)*3)) + sqrt(128)). sqrt(2)/8 Simplify -3*(sqrt(108) + (sqrt(108) - (sqrt(108) + 0)**2))*-1 + -2. -326 + 36*sqrt(3) Simplify (sqrt(14) + sqrt(14) + 2*sqrt(350))/(sqrt(77)/(sqrt(11) - sqrt(99))) + (-1 + sqrt(288) + -4 + -5)**2. -264*sqrt(2) + 388 Simplify (4 + sqrt(833) + -1 + sqrt(17)*-2*-5 + 0)*-2. -34*sqrt(17) - 6 Simplify (2 + 1*(2 + (sqrt(833) + 1 + -3 - (sqrt(833) + 0)*-5)))**2. 168*sqrt(17) + 29992 Simplify (3*(sqrt(1872) + 0 + -4 + sqrt(1872) - 1*(sqrt(1872) + -2*sqrt(1872)))*1)**2. -2592*sqrt(13) + 151776 Simplify -2*(0 + (sqrt(315)/(-2*sqrt(9)))/(sqrt(567)*-2))*-2. sqrt(5)/9 Simplify 0 + (sqrt(1331)*-1*-3 - ((sqrt(1331) - sqrt(1331)*2) + -4 - sqrt(1331)))**2. 440*sqrt(11) + 33291 Simplify ((sqrt(117) - (-2 + sqrt(117)*2))**2 - ((3*sqrt(117))**2 + -2))*-4. 48*sqrt(13) + 3720 Simplify -4*(-4 + ((-3*(sqrt(28) - sqrt(28)*2))/sqrt(4))**2)*2*2. -944 Simplify (sqrt(162)/(sqrt(6) - 3*sqrt(150)))/(sqrt(900) - 5*(sqrt(900) + 1*sqrt(900))). sqrt(3)/1260 Simplify -3 + -4 + 1*sqrt(275) + sqrt(275) - (-5 + ((1*sqrt(275) + sqrt(275))*-6)**2). -39602 + 10*sqrt(11) Simplify -3*(5*(sqrt(2448) + 6*sqrt(2448)*-2) + 4*((sqrt(2448) + 1)*2 - sqrt(2448)))**2. -19101936 + 29376*sqrt(17) Simplify ((4*((sqrt(153)*2 + sqrt(153))*4 - sqrt(153) - sqrt(153)))/(sqrt(81)/(sqrt(9) - (sqrt(900)*-3 - sqrt(900)))))**2. 45723200 Simplify 0 + sqrt(9)/(sqrt(21)/(sqrt(7) + 2*sqrt(7))) - (sqrt(6)/sqrt(2)*-5 + sqrt(162)/sqrt(6))**2. -12 + 3*sqrt(3) Simplify -5*((sqrt(425)*3 - sqrt(425))**2 + 0 + -5 + 2). -8485 Simplify -5*(4 + (sqrt(243)*1)**2*-2 + 3). 2395 Simplify (sqrt(171)*1*4 + (sqrt(171) - -1*sqrt(171)*3))/(5*(sqrt(144) + (-2*sqrt(144) + sqrt(144) - sqrt(144)))). -2*sqrt(19)/5 Simplify (sqrt(280)/sqrt(72) + sqrt(105)/sqrt(3)*4)/(-2*(sqrt(500) + (sqrt(500) - (1*sqrt(500) - sqrt(500))) + sqrt(500) + sqrt(500) + sqrt(500))). -13*sqrt(7)/300 Simplify (sqrt(170) + (sqrt(170) - 2*sqrt(170))*1)/(-1*sqrt(40))*6. 0 Simplify -5 + 5*(-1 + sqrt(1728) + sqrt(1728)) + -2. -12 + 240*sqrt(3) Simplify ((sqrt(175) + -4 + 1 + sqrt(175) + sqrt(175) + sqrt(175))*-6*-3 + 1)**2. -38160*sqrt(7) + 910009 Simplify -1*((4*-3*sqrt(245) - (sqrt(245) + (sqrt(245)*-2)**2 + -3)) + 2). 91*sqrt(5) + 975 Simplify -4*(-3 + (sqrt(55)*-1)/sqrt(11) + ((1 + sqrt(5))*-4)**2 + sqrt(5) + (0 + sqrt(5))*-5 + 5). -392 - 108*sqrt(5) Simplify (3*(3 + 1*sqrt(75) + 2 + (sqrt(75) - 5*sqrt(75)*-3)))**2. 7650*sqrt(3) + 195300 Simplify (3 + 3 + sqrt(612) + sqrt(612)*1*4 + -3 + 2)**2. 300*sqrt(17) + 15325 Simplify -4 + sqrt(336)/sqrt(7) - (4*sqrt(768))**2. -12292 + 4*sqrt(3) Simplify ((2*sqrt(91)*-1 + sqrt(91))*5)/(sqrt(42)/(3*sqrt(6)*5)). -75*sqrt(13) Simplify 2 + (sqrt(2) + (-1 + sqrt(2))*2 - sqrt(2)) + (sqrt(200) + -1 +
{ "pile_set_name": "DM Mathematics" }
AM? 9:57 AM How many minutes are there between 10:24 AM and 8:48 PM? 624 How many minutes are there between 10:16 AM and 3:33 PM? 317 What is 547 minutes before 3:16 PM? 6:09 AM How many minutes are there between 5:54 PM and 8:26 PM? 152 What is 97 minutes after 11:38 PM? 1:15 AM What is 399 minutes before 4:46 AM? 10:07 PM What is 538 minutes after 8:53 AM? 5:51 PM How many minutes are there between 3:01 AM and 8:38 AM? 337 What is 291 minutes before 1:11 PM? 8:20 AM How many minutes are there between 4:13 PM and 9:57 PM? 344 What is 644 minutes after 10:19 AM? 9:03 PM What is 630 minutes after 3:56 PM? 2:26 AM What is 705 minutes before 10:32 PM? 10:47 AM What is 707 minutes before 12:58 AM? 1:11 PM What is 323 minutes before 6:45 AM? 1:22 AM What is 689 minutes before 1:17 AM? 1:48 PM What is 463 minutes before 10:06 AM? 2:23 AM How many minutes are there between 4:52 AM and 11:26 AM? 394 What is 121 minutes before 11:17 PM? 9:16 PM How many minutes are there between 1:24 AM and 8:36 AM? 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3:54 PM How many minutes are there between 8:12 PM and 1:34 AM? 322 What is 439 minutes after 10:32 AM? 5:51 PM How many minutes are there between 6:40 PM and 2:33 AM? 473 How many minutes are there between 8:02 PM and 6:30 AM? 628 What is 203 minutes before 2:51 PM? 11:28 AM How many minutes are there between 11:30 AM and 1:13 PM? 103 How many minutes are there between 4:43 AM and 4:47 AM? 4 What is 652 minutes after 11:49 PM? 10:41 AM What is 132 minutes after 9:30 AM? 11:42 AM What is 69 minutes before 10:16 PM? 9:07 PM How many minutes are there between 5:03 PM and 6:50 PM? 107 How many minutes are there between 5:23 AM and 1:47 PM? 504 How many minutes are there between 4:47 AM and 1:37 PM? 530 What is 616 minutes before 10:30 PM? 12:14 PM What is 48 minutes before 4:22 PM? 3:34 PM How many minutes are there between 6:52 AM and 5:12 PM? 620 What is 2 minutes before 12:34 AM? 12:32 AM How many minutes are there between 4:15 PM and 6:39 PM? 144 How many minutes are there between 8:58 AM and 3:04 PM? 366 How many minutes are there between 3:11 AM and 12:53 PM? 582 What is 92 minutes before 4:48 AM? 3:16 AM How many minutes are there between 1:26 PM and 11:44 PM? 618 What is 660 minutes before 8:34 PM? 9:34 AM How many minutes are there between 9:22 AM and 11:46 AM? 144 How many minutes are there between 2:02 PM and 2:43 PM? 41 What is 12 minutes after 4:59 AM? 5:11 AM How many minutes are there between 3:09 PM and 6:31 PM? 202 How many minutes are there between 2:49 AM and 8:09 AM? 320 What is 194 minutes before 8:00 PM? 4:46 PM How many minutes are there between 3:59 AM and 3:30 PM? 691 How many minutes are there between 9:51 AM and 2:03 PM? 252 What is 556 minutes before 5:31 PM? 8:15 AM What is 132 minutes after 5:08 PM? 7:20 PM What is 152 minutes after 12:19 AM? 2:51 AM What is 573 minutes before 10:06 AM? 12:33 AM How many minutes are there between 7:08 PM and 5:25 AM? 617 What is 137 minutes before 7:48 AM? 5:31 AM What is 298 minutes after 4:09 PM? 9:07 PM How many minutes are there between 8:26 AM and 10:43 AM? 137 How many minutes are there between 7:52 AM and 12:16 PM? 264 What is 76 minutes before 8:39 PM? 7:23 PM How many minutes are there between 6:49 AM and 12:13 PM? 324 How many minutes are there between 8:07 PM and 4:28 AM? 501 What is 152 minutes after 6:41 AM? 9:13 AM How many minutes are there between 12:52 AM and 12:54 AM? 2 How many minutes are there between 7:00 AM and 6:54 PM? 714 What is 244 minutes before 9:54 AM? 5:50 AM What is 568 minutes before 9:39 AM? 12:11 AM What is 706 minutes before 12:08 PM? 12:22 AM What is 243 minutes before 2:15 AM? 10:12 PM What is 324 minutes after 12:34 AM? 5:58 AM What is 36 minutes before 7:24 PM? 6:48 PM How many minutes are there between 1:21 PM and 1:48 PM? 27 How many minutes are there between 4:00 AM and 7:23 AM? 203 How many minutes are there between 12:31 AM and 8:25 AM? 474 How many minutes are there between 9:51 PM and 6:18 AM? 507 What is 277 minutes after 12:14 PM? 4:51 PM How many minutes are there between 7:57 AM and 9:47 AM? 110 What is 401 minutes after 2:43 AM? 9:24 AM How many minutes are there between 9:09 AM and 5:32 PM? 503 What is 699 minutes before 5:55 PM? 6:16 AM How many minutes are there between 6:16 AM and 7:54 AM? 98 How many minutes are there between 3:12 PM and 1:30 AM? 618 How many minutes are there between 2:26 PM and 4:21 PM? 115 How many minutes are there between 8:24 AM and 3:10 PM? 406 What is 667 minutes before 9:47 PM? 10:40 AM How many minutes are there between 11:44 AM and 2:29 PM? 165 How many minutes are there between 2:42 AM and 10:21 AM? 459 What is 710 minutes before 1:15 AM? 1:25 PM How many minutes are there between 2:45 AM and 7:48 AM? 303 What is 9 minutes after 5:32 PM? 5:41 PM What is 429 minutes after 4:13 AM? 11:22 AM How many minutes are there between 2:14 AM and 3:08 AM? 54 How many minutes are there between 10:42 PM and 1:35 AM? 173 What is 468 minutes before 1:15 AM? 5:27 PM What is 505 minutes before 9:23 PM? 12:58 PM What is 581 minutes after 8:07 PM? 5:48 AM How many minutes are there between 4:28 AM and 1:48 PM? 560 What is 676 minutes before 12:40 PM? 1:24 AM What is 204 minutes before 4:29 PM? 1:05 PM What is 50 minutes before 3:29 PM? 2:39 PM How many minutes are there between 10:59 PM and 10:20 AM? 681 What is 40 minutes before 3:29 PM? 2:49 PM What is 481 minutes before 4:00 PM? 7:59 AM What is 155 minutes before 8:10 AM? 5:35 AM What is 115 minutes after 5:43 PM? 7:38 PM What is 707 minutes before 12:15 PM? 12:28 AM How many minutes are there between 9:09 PM and 9:49 PM? 40 What is 503 minutes after 1:08 PM? 9:31 PM How many minutes are there between 4:40 PM and 8:52 PM? 252 How many minutes are there between 9:39 AM and 8:43 PM? 664 How many minutes are there between 10:14 AM and 9:24 PM? 670 How many minutes are there between 6:53 PM and 8:35 PM? 102 What is 410 minutes after 12:29 PM? 7:19 PM What is 374 minutes before 5:06 AM? 10:52 PM How many minutes are there between 12:02 PM and 4:27 PM? 265 How many minutes are there between 12:51 AM and 11:56 AM? 665 How many minutes are there between 10:36 AM and 7:31 PM? 535 What is 49 minutes before 10:07 PM? 9:18 PM What is 14 minutes after 9:46 PM? 10:00 PM How many minutes are there between 7:03 AM and 2:53 PM? 470 What is 524 minutes after 1:27 AM? 10:11 AM What is 19 minutes before 1:42 PM? 1:23 PM How many minutes are there between 6:53 PM and 6:05 AM? 672 How many minutes are there between 1:56 PM and 12:05 AM? 609 How many minutes are there between 2:48 AM and 4:29 AM? 101 What is 595 minutes after 10:46 PM? 8:41 AM How many minutes are there between 12:14 AM and 3:07 AM? 173 What is 508 minutes before 8:40 PM? 12:12 PM What is 599 minutes before 2:43 PM? 4:44 AM What is 223 minutes after 10:14 AM? 1:57 PM How many minutes are there between 6:42 PM and 2:52 AM? 490 What is 153 minutes before 9:58 AM? 7:25 AM How many minutes are there between 8:27 PM and 1:30 AM? 303 How many minutes are there between 2:07 AM and 11:31 AM? 564 What is 714 minutes before 10:02 AM? 10:08 PM What is 472 minutes after 9:25 AM? 5:17 PM How many minutes are there between 7:06
{ "pile_set_name": "DM Mathematics" }
ig as 0? False Is 204 at least as big as 200? True Which is greater: -834 or -835? -834 Which is bigger: 1 or -13/56? 1 Which is bigger: -1132 or -1131? -1131 Which is smaller: -1 or -0.8456? -1 Is 0 smaller than -2/559? False Do 3/40228 and 1 have different values? True Is 5318 at most as big as 5314? False Which is bigger: -2/3 or -2/677? -2/677 Are 5.3 and -1 equal? False Is 43 <= 3? False Is -14 < -170/13? True Which is smaller: -6926 or -6925? -6926 Are -133 and 2 equal? False Is 0 > 1586? False Which is greater: 1 or -0.893? 1 Which is greater: -2/147823 or 1? 1 Is 1/52 bigger than -1? True Which is smaller: 1/2 or 2/655? 2/655 Which is smaller: -670 or -673? -673 Is 1376 bigger than 1376? False Which is bigger: 2 or 38/17? 38/17 Which is greater: 0 or -3/2912? 0 Is 7/241 != 1? True Is 1025 equal to 1025? True Which is bigger: -1/5 or -0.0346? -0.0346 Is -26 <= -26? True Which is smaller: -8 or -2? -8 Do -50 and -45 have the same value? False Are -80 and 15 equal? False Is -344 not equal to -3783/11? True Which is smaller: -59 or 1.7? -59 Is 427 smaller than 427? False Is 45 greater than -4/5? True Is 2/125 bigger than 44? False Do -39 and -39 have different values? False Which is smaller: 1020 or 1021? 1020 Which is greater: -19 or -13? -13 Is 1 smaller than -24/1603? False Is -0.03 bigger than -267? True Which is greater: -109 or -110? -109 Which is smaller: -0.2 or 0.113? -0.2 Which is smaller: -57 or -31? -57 Is 13/136 not equal to -1? True Which is smaller: -0.1 or 1775? -0.1 Which is bigger: -6/5 or -0.76? -0.76 Are 465 and 465 nonequal? False Is 2273 < 2273? False Which is smaller: 1/6 or 5? 1/6 Is 769 < 9978/13? False Which is smaller: 65 or 449/7? 449/7 Which is bigger: 104/71 or 1? 104/71 Which is smaller: -40 or -0.1? -40 Which is bigger: 0 or -2/1507? 0 Is 1110 != 1110? False Which is greater: 6 or 4? 6 Is -701 at least as big as -694? False Is 19222 < 0? False Is 116 bigger than 110? True Which is bigger: -1 or -426/5? -1 Are 121 and 126 unequal? True Which is greater: -729 or -6? -6 Is 1926 at most 1926? True Which is bigger: 1 or 31889? 31889 Is -6 > 221/6? False Do 12 and 265 have different values? True Which is greater: -1/51 or -2.33? -1/51 Which is bigger: -89/41 or -3? -89/41 Which is smaller: -1030 or -1/2? -1030 Which is smaller: -20 or -4? -20 Is 3/7 smaller than 1? True Is -290 less than or equal to -2/7? True Is 43 at least -4? True Which is greater: 18/47 or 1? 1 Which is bigger: -878 or -877? -877 Is -89 > -89? False Which is greater: 862 or -1? 862 Are 0.1394 and 3 unequal? True Which is greater: -41/12 or -2? -2 Which is smaller: -2/15763 or 1? -2/15763 Is 0.744 at most 0.1? False Is 503 less than or equal to 518? True Is 104 at most as big as 102? False Is 12/7 at least 209? False Is 322 smaller than 322? False Is 83 > 736/9? True Which is smaller: -238 or -240? -240 Is -2 less than -31? False Which is smaller: 0 or -22/117? -22/117 Which is bigger: 1 or 33/191? 1 Which is smaller: 1/446 or -1? -1 Is -478 < -479? False Is 1455 <= 1456? True Which is smaller: -8 or 0.059? -8 Which is bigger: 10394/9 or 1154? 10394/9 Is -0.06 less than -0.149? False Is -1 greater than -1/1008? False Is 1 > 2450? False Is -1 greater than 23/113? False Which is greater: 787/5 or 156? 787/5 Which is bigger: -2298 or -2299? -2298 Which is smaller: -0.1 or -2.222? -2.222 Do -1/5 and 534/11 have the same value? False Which is smaller: 1 or -2/443? -2/443 Which is smaller: -1 or 2/25479? -1 Do 32/195 and 0 have different values? True Which is greater: -2.15 or -5? -2.15 Is 0 <= -9/89? False Which is greater: 4 or -22? 4 Which is smaller: 2/3 or 1392? 2/3 Is 2 bigger than -193? True Which is greater: -1 or 3/688? 3/688 Are 5 and 84/19 unequal? True Which is smaller: -0.1 or -9103? -9103 Is 1447 less than or equal to 1453? True Are -4712/9 and -525 equal? False Is 460 greater than or equal to 460? True Which is greater: -21 or -0.1? -0.1 Which is greater: -19 or -33? -19 Which is smaller: -1/3 or -7/471? -1/3 Do -8327 and -8327 have the same value? True Is 20661 not equal to 20661? False Is -1 > 2/1679? False Does 29 = 0.4? False Which is greater: 2/7379 or -1? 2/7379 Is -277 < -277? False Which is greater: -5/157 or -1? -5/157 Is -1 less than -1/351? True Which is smaller: -11943 or -1? -11943 Which is smaller: -0.2 or -1? -1 Which is smaller: 2/3 or -0.12737? -0.12737 Which is smaller: -5 or -89/46? -5 Which is smaller: -12 or -47/4? -12 Which is bigger: -1009 or -1008? -1008 Is -1 equal to -6/1675? False Which is smaller: 0 or -25/39? -25/39 Is 140 at most as big as 140? True Is 1545 smaller than 1546? True Is -3374/3 smaller than -1124? True Do 339 and 340 have the same value? False Which is smaller: -18 or -19? -19 Is -10/9 greater than 33? False Which is greater: 0.062 or -0.05? 0.062 Is 268 equal to 268? True Is 1/20 less than 0? False Which is smaller: 1/65 or -1? -1 Is -3/5 equal to 8? False Which is smaller: -0.08 or -7/2? -7/2 Is -3 >= -16? True Which is greater: -29 or 20.7? 20.7 Which is greater: -5 or -37/8? -37/8 Is 168 equal to 168? True Which is bigger: -1.2 or -5? -1.2 Is -6 greater than -23/5? False Are -37172 and -37171 equal? False Is -263 at most as big as -243? True Is 0.08 smaller than -2/981? False Is 98 equal to -2/11? False Is -57 bigger than -286/5? True Which is smaller: 384 or 385? 384 Which is smaller: -513 or -515? -515 Which is greater: -5652 or -5653? -5652 Is 4 smaller than 7/1476? False Which is greater: -8/161 or 0? 0 Which is bigger: -1772 or -1770? -1770 Is -3/2 at most as big as 7? True Which is bigger: 347 or 341? 347 Is -2416 less than -2416? False Which is greater: 0.11 or -51? 0.11 Is 4 greater than or equal to 104? False Is 380 smaller than 380? False Is 143 bigger than 135? True Is -178 at most as big as 1/6? True Which is greater: 0.48 or 0.02? 0.48 Which is smaller: -1680 or -1679? -1680 Which is smaller: 0 or -4/443? -4/443 Which is greater: 10/37 or -1? 10/37 Is 3418 >= 13671/4? True Are 0.07934 and -1/4 non-equal? True Which is bigger: -1 or -2/9609? -2/9609 Which is bigger: 707/6 or 117? 707/6 Is 1361 at most 1360? False Which is greater: 2/605 or 0? 2/605 Which is greater: 1 or 1/6449? 1 Which is smaller: 136 or 135? 135 Which is smaller: -13/1247 or -1? -1 Is 0 at least as big as -7/93? True Which is smaller: -5/3 or -2? -2 Which is smaller: 3/4 or 4? 3/4 Do -1608 and -1608 have the same value? True Is 274/15 not equal to 18? True Which is smaller: 2/29 or -33? -33 Is 0 > 5/263? False Which is smaller: 897 or 896? 896 Is -100/59 at most -1/2? True Is -12/109 at least as big as -5/3? True Is 198 < -1? False Which is greater: 1737 or 1732? 1737 Which is greater: -156/223 or -1? -156/223 Which is smaller: -2 or -197/86? -197/86 Is 29.9 >= 3? True Which is bigger: 782/39 or 21? 21 Which is greater: 0 or 4/4833? 4/4833 Are 189/5 and 39 unequal? True Which is smaller: 4 or 41? 4 Is 0 at least as big as -14/67? True Which is greater: -140 or -103? -103 Is 58 <= -75? False Do -140 and -101 have the same value? False Which is smaller: -12 or 31? -12 Is 388 less than 389? True Is 19/62 greater than 1? False Is 432 at most as big as 12/7? False Is 1 greater than -5/483? True Which is bigger: 5945 or 5948? 5948 Are 1 and 3.435 non-equal? True Is -2/5 < 1450? True Is 0 at least 30/223? False Is 63 >= 438/7? True Is -3211/5 at least -642? False Which is bigger: 1 or 3/614? 1 Is -599/7 greater than -86? True Is -1 at least as big as 59/142? False Do -2/3 and 3.08 have the same value? False Is -27/1469 at most as big as -1? False Is 4/59 < -8.3? False Which is bigger: 0.1 or -12798? 0.1 Is 4/1243 less than or equal to 0? False Which is smaller: -1 or -2/1473? -1 Is -12/193 at most as big as 1? True Do 2980 and 2982 have the same value? False Is -0.25 != -4? True Is -27 at most -39? False Which is smaller: -1 or 2/3225? -1 Which is smaller: -151 or -150? -151 Which is smaller: -12/9035 or 0? -12/9035 Is 0 <= 3/5? True Is 1552 at most 1554? True Which is greater: 449 or 448? 449 Is -15 at most 223? True Is 79 smaller than 238/3? True Is -11/4 bigger than -4? True Is -77 smaller than 2/5? True Is 3977 at most as big as 2/3? False Is 306 at most as big as 308? True Is -226 less than or equal to -2
{ "pile_set_name": "DM Mathematics" }
0, 0 = 3*d - 4*u - 22. Factor -2/5*s**d - 8/5*s - l. -2*(s + 2)**2/5 Let -4*b**2 + 3 + 6*b + 0*b + 2*b - 7 = 0. What is b? 1 Let v be 1*((6 - -2) + 2). Let p be (-2)/4*0/v. Let 0*j**4 + 0*j + 0*j**3 + 0 + 2/5*j**5 + p*j**2 = 0. Calculate j. 0 What is s in -6 - 6*s**4 - 6*s + 3*s + 6*s**3 + 3*s**2 - 99*s**5 + 96*s**5 + 9*s**2 = 0? -2, -1, 1 Let c(u) be the second derivative of u**5/4 - 5*u**4/6 + 5*u**3/6 + 5*u. Factor c(l). 5*l*(l - 1)**2 Suppose 0 = -4*s + m + 14, 8 = 2*s + s - 2*m. Let b(p) be the first derivative of -4 - 2*p**3 + 3*p + 0*p**2 + 3/5*p**5 + 0*p**s. Determine a so that b(a) = 0. -1, 1 Let v be ((-3)/(-18))/((-7)/(-28)). Factor -v*h + 0 - 2/3*h**2. -2*h*(h + 1)/3 Suppose 5*y = 2*y. Let g(f) = f + 5. Let p be g(y). Suppose -9*n**5 - n**3 + 6*n**4 + 12*n**5 + 7*n**p - 3*n**3 = 0. What is n? -1, 0, 2/5 Let k(n) be the first derivative of -n**6/18 - n**5/15 + n**4/6 + 2*n**3/9 - n**2/6 - n/3 + 71. Suppose k(q) = 0. Calculate q. -1, 1 Let m = 10 - 6. Determine b, given that -m*b - 1 + b**2 + 0*b**2 + 4*b = 0. -1, 1 Let a be (-2)/(-2)*1*-7. Let q = a - -11. Factor -38*v**3 + 11*v**q - 3*v**4 - 5*v**5 + 32*v**2 + 1 - 13*v + 1 + 14*v**4. -(v - 1)**4*(5*v - 2) Let u(k) be the first derivative of k + 4 - 1/3*k**3 + 0*k**2. Factor u(d). -(d - 1)*(d + 1) Let g(q) be the third derivative of q**6/160 + 3*q**5/80 + 3*q**4/32 + q**3/8 + 5*q**2. Determine z, given that g(z) = 0. -1 Let n(r) be the first derivative of r**6/360 + r**5/60 - 5*r**3/3 - 1. Let l(o) be the third derivative of n(o). Find f such that l(f) = 0. -2, 0 Factor 16/3*q**2 - 16/3*q + 4/3. 4*(2*q - 1)**2/3 Factor -1/2 + 1/4*k**3 + 1/4*k**4 - 3/4*k**2 - 5/4*k. (k - 2)*(k + 1)**3/4 Let l(a) be the first derivative of a**8/42 + 2*a**7/35 + a**6/240 - a**5/20 + a**4/48 + 3*a**2/2 - 4. Let h(t) be the second derivative of l(t). Factor h(x). x*(x + 1)**2*(4*x - 1)**2/2 Let n(a) be the second derivative of -1/165*a**6 + 1/66*a**4 + 0*a**3 + 0*a**2 + 0 + 1/110*a**5 - 1/231*a**7 + 8*a. Suppose n(z) = 0. What is z? -1, 0, 1 Suppose -8 + o**3 - 257*o**4 - 42*o**2 + 271*o**4 - 40*o + 3*o**3 = 0. Calculate o. -1, -2/7, 2 Let f be (15 - 13) + 0/(-2). Factor -3 - 3*m**f + 3*m**2 - m**4 - 2*m**3 + 2*m + 4*m**2. -(m - 1)**2*(m + 1)*(m + 3) Let j = 2 - -3. Let c be -4 - (-5)/(j/4). Factor 0*y + 0*y**4 + c - 1/4*y**3 + 0*y**2 + 1/4*y**5. y**3*(y - 1)*(y + 1)/4 Let z(h) be the second derivative of h**7/1890 + h**6/2160 - h**4/4 - 6*h. Let b(d) be the third derivative of z(d). Factor b(v). v*(4*v + 1)/3 Let z be (6/8)/(5/20). Let x(o) be the second derivative of z*o + 0 + 0*o**4 - 1/15*o**6 - 1/42*o**7 + 0*o**2 - 1/20*o**5 + 0*o**3. Factor x(d). -d**3*(d + 1)**2 Suppose 9 = -f - 2*f + b, 2*f + 1 = -b. Let q = f + 5. Solve p + 4*p**2 - q*p - 3*p**2 + 4*p = 0. -2, 0 Suppose v - 6 = -v. Let q(b) be the second derivative of 1/10*b**5 + 0 + 0*b**2 + 0*b**v + 1/6*b**4 + 2*b. Determine r, given that q(r) = 0. -1, 0 Let f(m) be the third derivative of m**6/60 - m**5/15 + m**4/12 + 11*m**2. Factor f(u). 2*u*(u - 1)**2 Determine o, given that 0*o + 3/7*o**2 + 0 = 0. 0 Let a(f) be the first derivative of -f**4/22 + 2*f**3/11 - 2*f**2/11 - 9. Suppose a(c) = 0. What is c? 0, 1, 2 Suppose -380*r = -375*r - 10. Factor -2/7*g**r + 2/7*g + 0. -2*g*(g - 1)/7 Let r(z) = 3*z**5 + 4*z**4 - 2*z**3 + z - 2. Let p(b) = 4*b**5 + 5*b**4 - 3*b**3 + b**2 + 2*b - 3. Let g(y) = 2*p(y) - 3*r(y). Solve g(w) = 0. -1, 0, 1 Let z(g) be the third derivative of g**7/490 + g**6/35 + 11*g**5/70 + 3*g**4/7 + 9*g**3/14 + 2*g**2. Factor z(a). 3*(a + 1)**2*(a + 3)**2/7 Let y(b) be the second derivative of -b**5/10 - b**4/3 + b**3/3 + 2*b**2 + 14*b. Factor y(a). -2*(a - 1)*(a + 1)*(a + 2) Suppose -9*m + 175 = -14*m. Let p be (-2)/1 - 80/m. Determine q, given that 2/7*q**3 - 2/7*q + 2/7 - p*q**2 = 0. -1, 1 Suppose 3*f - 2 - 7 = 0. Suppose 11 = 2*s + f. Let -486*o**3 - 77*o**2 - 162*o**3 - 211*o**2 - 48*o - 792*o**4 + 144*o**s - 243*o**5 = 0. What is o? -2/3, 0 Let n(u) = 16*u**2 + 64*u - 12. Let x(c) = -c**2 - 2*c - 1. Let r(v) = -n(v) - 20*x(v). Suppose r(l) = 0. What is l? 2, 4 Let w = 4/7 - 6/35. Factor -1/5*g + 1/5*g**3 - 2/5 + w*g**2. (g - 1)*(g + 1)*(g + 2)/5 Let h(j) be the second derivative of -j**7/17640 + j**5/840 - j**4/12 - 2*j. Let p(y) be the third derivative of h(y). Factor p(g). -(g - 1)*(g + 1)/7 Let q(j) be the second derivative of -j**7/189 + j**6/135 + j**5/30 - 5*j**4/54 + 2*j**3/27 + 13*j. Find g, given that q(g) = 0. -2, 0, 1 Let h = 116/171 - 2/171. Solve -2/3*t**5 + 0*t**3 + h*t - 4/3*t**2 + 4/3*t**4 + 0 = 0. -1, 0, 1 Let n(s) be the third derivative of 4*s**2 + 1/112*s**8 - 1/20*s**6 + 0*s**5 + 0*s**7 + 0 + 0*s + 1/8*s**4 + 0*s**3. Find h, given that n(h) = 0. -1, 0, 1 Suppose 0*z + 2*z + 5*s = -2, 0 = z - 2*s - 8. Let l(m) be the third derivative of 1/90*m**5 - 2*m**2 + 0*m + 0 - 1/9*m**3 + 0*m**z. Factor l(o). 2*(o - 1)*(o + 1)/3 Let h(g) be the first derivative of -g**6/5 - g**5/10 + 3*g**4/2 + 3*g**3 + 2*g**2 - g - 2. Let z(x) be the first derivative of h(x). What is n in z(n) = 0? -1, -1/3, 2 Let h(p) be the third derivative of 0*p + p**2 + 0*p**3 + 0*p**4 + 0 + 1/30*p**6 - 1/56*p**8 - 1/105*p**7 + 0*p**5. Factor h(x). -2*x**3*(x + 1)*(3*x - 2) Let j(m) = 3*m**2 + 3*m. Let r(o) = 10*o**2 + 10*o. Let p(s) = 14*j(s) - 4*r(s). Factor p(i). 2*i*(i + 1) Let t(a) = -a**2 - a - 1. Let b(w) = 3*w**2 + 2. Let y(g) = 2*b(g) + 4*t(g). Factor y(i). 2*i*(i - 2) Suppose 4*y = -15 + 23. Let b(l) = l**3 - 4*l**2 + l - 2. Let f be b(4). What is v in 2 + 9 + y + 12*v - 10 - 12*v**3 - 3*v**f = 0? -1, -1/4, 1 Let k be (-4)/6 - 33/(-9). Let l(a) = 2*a + 1. Let c be l(k). Solve r**2 + c*r - 1 - 7*r = 0 for r. -1, 1 Factor 2*v**2 + 224*v**3 - 225*v**3 + 4*v**2 - 3*v**2. -v**2*(v - 3) Suppose h**3 + 533*h + 3*h**2 + 527*h - 1064*h = 0. What is h? -4, 0, 1 Suppose q - 6*q = -5. Let -2 - 2*b + 3 + 2*b**3 - q = 0. Calculate b. -1, 0, 1 Let c(j) be the second derivative of 1/6*j**2 + 1/18*j**3 - 1/60*j**5 - 1/36*j**4 - 4*j + 0. Factor c(y). -(y - 1)*(y + 1)**2/3 Let r = 229/180 + -21/20. Factor -r + 4/9*s**2 + 2/9*s. 2*(s + 1)*(2*s - 1)/9 Find s, given that 0 + 1/2*s**2 + 1/2*s = 0. -1, 0 Factor -t**4 - 2*t**3 + t**3 - 8*t**2 + t**5 + 7*t**2 + 2*t**4. t**2*(t - 1)*(t + 1)**2 Let o(x) be the first derivative of 3*x**5/5 - 2*x**3 + 3*x + 6. Solve o(p) = 0 for p. -1, 1 Let q(v) = 68*v - 272. Let t be q(4). Factor -2/17*k**2 + t*k + 0 - 2/17*k**3. -2*k**2*(k + 1)/17 Let y(f) = -f**3 + f - 1. Let t(s) = 2*s**2 - 4. Let c(p) = t(p) - 2*y(p). Find r such that c(r) = 0. -1, 1 Let v(s) be the third derivative of -4*s**7/105 + s**6/30 + 2*s**5/5 - 7*s**4/6 + 4*s**3/3 + 12*s**2. Find w, given that v(w) = 0. -2, 1/2, 1 Let s(c) = 2*c**3 + 2*c**2 - c + 5. Let h be s(0). Factor -1/4*z**h + 0*z**2 - 1/4*z**4 + 0 + 0*z**3 + 0*z. -z**4*(z + 1)/4 Suppose -5*h + h = 8. Let n be (-1)/h - (-6)/4. Factor 4*w**2 - 3*w**2 - 2*w**2 + 6*w - 3*w**3 - 2*w**n. -3*w*(w - 1)*(w + 2) Let v = 5 - 5. Suppose -i - 2 = -5*n, -2*i - 4 = -2*n - v. Suppose 0 + n*p**3 + 1/2*p**2 + 0*p - 1/2*p**4 = 0. What is p? -1, 0, 1 Let f(d) be the third derivative of 1/3*d**3 + 1/30*d**5 - d**2 - 1/6*d**4 + 0*d + 0. Factor f(j). 2*(j - 1)**2 Let 0*w + 5 + 4*w**2 + 3 - 2*w**2 - 8*w = 0. Calculate w. 2 Solve 8*i**2 + 20/3*i + 2/3*i**4 + 2 + 4*i**3 = 0. -3, -1 Let b(h) = -2*h**3 + 2*h**2 + 2*h + 1. Let k(g) = 9*g**3 - 9*g**2 - 9*g - 4. Let t(d) = 26*b(d) + 6*k(d). Factor t(p). 2*(p - 1)**2*(p + 1) Determine g so that 5/9*g + 1/9*g**2 + 4/9 = 0. -4, -1 Let p(m) be the first derivative of -3 + 5/2*m**4 + 4*m**2 + 8*m - 26/3*m**3. Factor p(f). 2*(f - 2)*(f - 1)*(5*f + 2) Let h(x) be the second derivative of 0*x**2 - 2*x + 0 + 1/1080*x**6 + 1/2*x**3 - 1/72*x**4 + 0*x**5. Let v(y) be the second derivative of h(y). Factor v(j). (j - 1)*(j + 1)/3 Let s(w) be the second derivative of -w**3/6 + 17*w**2/2 - 8*w. Let p be s(15). Factor 1/2*a**p - 1 - 1/2*a. (a - 2)*(a + 1)/2 Let s be (-34)/85 - (-2)/5. Let o = s - -2. Factor 1/2*g + 1/6*g**3 + 1/6 + 1/2*g**o. (g + 1)**3/6 What is a in 0 + 486*a**3 - 144*a**2 + 12*a + 0*a**4 - 6561/4*a**5 = 0? -2/3, 0, 2/9 Let -16/11*x**3 + 4*x**2 + 2/11*x**4 - 48/11*x + 18/11 = 0. Calculate x. 1, 3 Determine f, given that -3/8*f**2 - 3/8*f**3 + 3/4*f + 0 = 0. -2, 0
{ "pile_set_name": "DM Mathematics" }
by q. 3 Let l(o) be the first derivative of 13*o**2 - 44*o + 189. What is the remainder when l(4) is divided by 17? 9 Let a(l) = 2*l - 264*l**3 + l - 3*l + 2*l + 2. Let v be a(-1). Suppose -624 = -10*k - v. Calculate the remainder when k is divided by 10. 6 Let t = -304 - -208. Let s = t + 115. What is the remainder when 67 is divided by s? 10 Suppose 37*h + 5202 - 5350 = 0. What is the remainder when 266/4*(3 + -1) is divided by h? 1 Let c = -9614 - -9796. Calculate the remainder when 1081 is divided by c. 171 Let t = 152 + -55. Let c = 107 - t. Calculate the remainder when 130/4 - c/(-20) is divided by 9. 6 Suppose -2*y = 2*y + 124. Let d = y - -110. What is the remainder when d is divided by 21? 16 Suppose -5*g - 7*p + 6*p = -16, -2*g + p + 12 = 0. Let l(y) = 4*y**2 + 3. What is the remainder when l(g) is divided by 28? 11 Suppose -3*j = -n + 177, -n + 153 = 2*j - 29. Calculate the remainder when 157 is divided by (-2)/6 - (-6000)/n. 25 Suppose c - 521 = -2*w + 55, 4*w - 2*c - 1160 = 0. Suppose -w - 26 = -5*o. Let v = -61 + o. Calculate the remainder when 6 is divided by v. 0 Suppose -3*r - t - 25 + 195 = 0, 0 = 2*r - 2*t - 124. Suppose 97 = 5*a - r. What is the remainder when 122 + ((-1)/2)/((-13)/(-52)) is divided by a? 27 Let j(i) = 785*i - 6158. What is the remainder when 644 is divided by j(8)? 34 Let b = 564 + -548. Suppose -2*t + 14 = -4. Calculate the remainder when (33/4)/(t/48) is divided by b. 12 Suppose 2*r - a + 534 = 144, 374 = -2*r + 5*a. Let i = r + 412. What is the remainder when i is divided by 72? 71 Let b(m) = -3*m**2 - 2*m - 24. Let x be b(5). Let d = x - -137. Suppose -2*j + 3*w = 3*j - 486, -198 = -2*j + 3*w. What is the remainder when j is divided by d? 12 Suppose 5*v = 2*p - 338, -712 = -41*p + 37*p + v. What is the remainder when 2157 is divided by p? 9 Suppose 0 = 57*x - 8*x - 539. Suppose 0 = -33*g + 22*g + 671. What is the remainder when g is divided by x? 6 Let t(o) = 2*o**2 - 24*o + 74. Let w be -51*(-2)/27 + 98/441. Calculate the remainder when 47 is divided by t(w). 7 Let u = -42 - -77. Let r = 63 - u. Suppose -5*x - 38 = -4*z - 4, -5*z = 4*x - 22. What is the remainder when r is divided by z? 4 Let b be (-2)/3*27/(-6)*6. Let i be 10/(-35) + b/14. What is the remainder when 32 is divided by (i/(-2) + (-30)/(-4))*1? 4 Suppose 343*c = 68837 + 294604 + 65652. Calculate the remainder when c is divided by 88. 19 What is the remainder when (-405)/(-8) - (210/80 + -3) is divided by 49? 2 Let p(o) = 330*o + 2009. What is the remainder when 308 is divided by p(-6)? 18 Let c = 10624 - 10609. Calculate the remainder when 3250 is divided by c. 10 Let p(j) = -2*j**3 - 11*j**2 - 6*j + 1. Let r be p(-5). Let g be r/(-15) - 48/5. Let h(i) = -5*i - 27. Calculate the remainder when 67 is divided by h(g). 21 Let n = -18198 - -18472. Calculate the remainder when 2738 is divided by n. 272 Let z(x) = 8*x**2 + 2. Let b be z(1). What is the remainder when 62 is divided by 1/(-3) + (280/12 - b)? 10 Suppose -3*h - 2*i + 20 = -10, 0 = -5*h - 2*i + 54. Suppose h*m - 196 = 5*m. Suppose 4*q - m = 2*q. What is the remainder when q is divided by 9? 5 Suppose -3*a + 8 = 16641*t - 16643*t, 73 = 11*t + 3*a. Suppose -4*p - 18 = -126. What is the remainder when p is divided by t? 2 Let o(s) = s**3 - 28*s**2 - 2*s + 47. Let l be o(28). What is the remainder when l/(-54) - (-1822)/12 is divided by 11? 9 Let d(x) = -6*x - 7. Let k(r) = -14*r - 66. Let w(b) = -15*b - 65. Let o(g) = -5*k(g) + 4*w(g). What is the remainder when o(5) is divided by d(-8)? 38 Suppose 0 = 3*q + p - 874, 643*q + 1176 = 647*q - 4*p. Calculate the remainder when 642 is divided by q. 58 Let z = -294 - -631. Let y = z + -331. What is the remainder when 63 is divided by y? 3 Calculate the remainder when 10 is divided by 40/(-180) + 0 + (94/18 - -3). 2 Let m(h) = 96*h**2 - 56*h - 2. Calculate the remainder when m(2) is divided by 39. 36 Suppose 223*f = -79*f + 248244. What is the remainder when f is divided by 27? 12 Let r(v) = v**3 - 5*v**2 - 13*v + 69. What is the remainder when 193 is divided by r(7)? 41 Suppose -15*h - h + 608 = 0. Calculate the remainder when h is divided by 39/4 + -3 + (-52)/(-16). 8 Suppose -3*v - 184 = -4*u, 2*u = -2*v + 50 + 28. Let f = 86 - u. Calculate the remainder when 127 is divided by f. 41 Suppose 0 = -8*l + 282 - 170. Calculate the remainder when ((-88)/28 - -4)/((-1)/(-28)) is divided by l. 10 Let r = -141 + 339. Suppose -12 + 4 = -2*f. Suppose -r = f*v - 562. What is the remainder when v is divided by 19? 15 Let r(o) = -292*o - 6483. What is the remainder when 334 is divided by r(-23)? 101 Let k be 3*(19 - 12/4 - -2). Calculate the remainder when 106 is divided by k*(2/7 + 144/378). 34 Suppose 3*u = 24 + 48. Let a be (-38 - -28)*((-2)/(-4) - 1). Calculate the remainder when 1257/18 - a/(-30) is divided by u. 22 Let h = 16732 - 16063. Let k = 11 - -1. What is the remainder when h is divided by k? 9 Suppose -7111 + 8362 = 9*a. Calculate the remainder when 139 is divided by a. 0 Suppose -6*p - 53 = -2*f - 3*p, 0 = 3*f + 2*p - 47. Calculate the remainder when f is divided by ((-14112)/(-1008))/((-2)/3*-3). 5 Suppose 0 = -0*d - 5*d - 40. Let f be d/(-44) - 150/(-22). Suppose -f = -5*q + 2*y, -3*y = 2*q + 2*y - 26. Calculate the remainder when 8 is divided by q. 2 Let z = 8538 + -8504. What is the remainder when 1352 is divided by z? 26 Suppose 4*s - 5*c + 59 = 6*s, s + 2 = 2*c. What is the remainder when 5660 is divided by s? 8 Let c(j) = -j**2 + 26*j + 6. Suppose -5*p + 14 - 6 = b, b - p = 20. Let r be c(b). Let m = -87 + r. Calculate the remainder when m is divided by 33. 30 Let q(l) = l**2 + 3*l + 3. Calculate the remainder when 552 is divided by q(-12). 108 Calculate the remainder when (0 - 1)/((-239921)/15994 - -15) is divided by 16. 14 Let x(j) = j**2 - 6*j + 3. Let w be x(6). Let p be -10 - (6/9)/((-1)/w). What is the remainder when 486/15*((-28)/p - 1) is divided by 14? 11 Calculate the remainder when 167 is divided by 57 + (-1 + 17)*9*(-15)/(-540). 45 What is the remainder when (-210)/1890 + (-4)/(-6)*6337/6 is divided by 17? 7 Let q = 168 + -149. Suppose -3*y - 297 = -2*z, -q*y + 18*y = z - 156. What is the remainder when z is divided by 40? 33 Let y(m) = -m**2 + 67*m - 223. What is the remainder when y(62) is divided by (1/2)/((-1)/(-36))? 15 Let u(g) = 213*g**2. Suppose -14 = -x + 3*x. Let m(r) = 107*r**2. Let q(y) = x*m(y) + 4*u(y). What is the remainder when q(1) is divided by 21? 19 Suppose -211*f + 231*f - 220 = 0. Calculate the remainder when 535 is divided by f. 7 Suppose -148*s = 5766 - 29002. Calculate the remainder when s is divided by 53. 51 Suppose -2*n - 2 = 0, -32*r + 3*n = -33*r + 387. Calculate the remainder when r is divided by 14. 12 Let j(h) = 4*h**2 + 13*h - 12. Let g be 1/(-4) + (-11)/(-44). Suppose -x + 4*x - 84 = g. Calculate the remainder when j(-6) is divided by x. 26 Let j(n) = n**2 - 49*n + 461. What is the remainder when 1413 is divided by j(38)? 37 Let o(p) = p**3 + 26*p**2 - 82*p - 928. What is the remainder when o(-14) is divided by 38? 26 Let k(w) = w + 2. Let q(a) = a**3 + 9*a**2 + 10*a - 2. Let h be q(-5). Let o be 8 + -8 - h/(-2). Calculate the remainder when 68 is divided by k(o). 16 Suppose 0 = -2*d - n + 345, -123*n - 693 = -4*d - 128*n. Calculate the remainder when 1526 is divided by d. 150 Suppose -425 = -5*j - 4*c, 9*j - 2*c = 13*j - 334. Suppose -9*v = -18 - j. What is the remainder when 21 is divided by v? 10 Suppose -3*k - 1875 = 5*z, 3*k + 1151 = -2*z + 410. Let o = z + 389. Let t(y) = 2*y - 5. What is the remainder when o is divided by t(6)? 4 Suppose 0 = -2*h + 2, 3*w - 9 = 2*h - 5*h. Suppose -7*q + 240 = -w*q. Calculate the remainder when q is divided by 29. 19 Let l(s) = 24*s + 84. Let i be l(-13). Let o(g) = 25*g**2 - 1. Calculate the remainder when ((-76)/i)/((-1)/(-129)) is divided by o(-1). 19 What is the remainder when 534 is divided by (-43 - -59 - (2 - 0)) + 20/4? 2 Suppose 0 = x + q + 21 - 160, 6 = -3*q. Suppose -i + f = -5*i + 198, 4*i - 4*f - 188 = 0. What is the remainder when x is divided by i? 43 Let f(r) = 41*r - 13*r - 23*r + 87. Calculate the remainder when 21 is divided by f(-14). 4 Let u(o) = 3*o**2 - 3*o + 14. Let q(j) = -13*j**2 + 12*j - 55. Let c(d) = 2*q(d) + 9
{ "pile_set_name": "DM Mathematics" }
be (-10)/(-30) + 34/6. Let j(l) = -13*l**2 - n - 5 - 13*l + 2 - l**3. What is j(-12)? 3 Suppose 0 = -y + 2*a + 7, 16*a = -5*y + 17*a - 19. Let i(s) = s**3 + 4*s**2 - 9*s - 14. Determine i(y). 6 Let r = 441 - 438. Let s(v) = 0*v**2 + v**2 + 3 - v - 4*v. Determine s(r). -3 Let f(a) = -9*a + 81. Let v be (-20 + -22 - -44)/(24/(-14) + 2). Give f(v). 18 Let u(i) = i**3 + 20*i**2 + 47*i - 58. Let r be u(-17). Let l(j) = 40*j - 406. Let n be l(r). Let d(p) = -9*p - 6. What is d(n)? 48 Let q(f) = -f - 44. Let m(p) = 3*p + 177. Let w(a) = -2*m(a) - 9*q(a). Let o be w(-14). Let k(r) = -r + 2*r + r**2 + 2 - 5*r + o. Give k(4). 2 Let q(p) = 2*p**2 + 5*p. Let h(b) = 7*b**2 - 7*b + 3. Let y(d) = -h(d) + q(d). What is y(2)? 1 Let j(t) = -2*t**3 + 6*t**2 + 3*t + 6. Suppose 12*w = 360*w + 177*w - 3150. Determine j(w). -192 Let p(t) be the third derivative of t**5/60 + t**4/24 - 29*t**3/6 - 733*t**2. Give p(4). -9 Let s(h) = h**3 - 8*h**2 + 3*h + 6. Suppose 4*f + 201 = 3*u, 290 = 9*u - 5*u + 2*f. Suppose 65 - u = -3*n + 5*j, -5*j = n - 22. What is s(n)? -22 Let r(i) be the second derivative of -1/12*i**4 - i - i**2 + 21 - 5/3*i**3. Calculate r(-9). 7 Let v(s) = -4*s**2 + 3*s**2 + 8 + 285175*s - 285171*s. What is v(-4)? -24 Let y(t) be the first derivative of -t**3/3 - 11*t**2 + 26*t + 69. Calculate y(-23). 3 Let c = 49 - 43. Suppose c*q = -0*q. Let x(z) = 1 + 4*z + 5*z + q - z. Determine x(1). 9 Suppose 0 = -w + 5*b - 8*b, -4*b = -2*w + 50. Let h(l) = -l**2 + 21*l - 28. Give h(w). 62 Suppose 5*z + 8*q = 6*q + 37, 4*z - 2*q = 44. Let u(n) = n**3 - 10*n**2 + 7*n + 21. Determine u(z). 3 Let s(p) = -p**2 + p. Let c be (2/(-3))/(8/(-12)). Let i(z) = z**3 + z - 1. Let l(v) = c*i(v) - 2*s(v). Let y be (1/3)/(3/(-18)). Determine l(y). 1 Let d = 9807 - 9808. Let p(v) = -65*v**3 - 2*v**2 - v. What is p(d)? 64 Let t(l) = -34 - 8*l + 16 + 9*l + 15. Suppose -3*o + 12 = 3*z, 5*o - 3*o - 3*z - 8 = 0. Suppose -o*b + 4*g = b - 27, -3*b = -3*g - 15. Calculate t(b). 4 Let w(p) be the first derivative of -p**2 - 33 + 1/3*p**3 + 4*p. Let t = -4 + 7. Calculate w(t). 7 Let b(g) = -g**3 - 4*g**2 + 18*g - 9. Let n be b(2). Let v be -4*((-21)/(-6) + -4). Let m(l) = -l**2 + 0*l**v + 7 - 8. Give m(n). -10 Let n(i) be the second derivative of 5*i**4/12 + 17*i**3/3 - 5*i**2/2 - 1766*i. Determine n(-7). 2 Let z(u) = 13*u - 7. Let a(h) = 11*h - 6. Let f(m) = -6*a(m) + 5*z(m). Let v(y) = y**2 - 3*y - 98. Let t be v(12). Calculate f(t). -9 Let a = -616 - -622. Let r(w) = w**3 - 8*w**2 + 13*w - 3. Calculate r(a). 3 Let v be ((-39)/52*-2)/((-2)/((-8)/(-3))). Let h(t) = -13*t**2 - 4*t + 1. Give h(v). -43 Let l(y) = 4 - 9*y**3 - 5 + 2*y - 4*y. Suppose -24*s = 1171 + 221. Let m = s + 57. Calculate l(m). 10 Let t(b) = 5*b - b**3 - 16*b + 48 - 34 - 5*b - 20*b**2 - 3*b. Determine t(-19). 14 Suppose m - 7*u = -11*u - 13, m + 2*u = -7. Let d = -6 - -9. Let h(v) = -6*v**3 + 0*v**3 - 2*v**3 - 2 - v**2 + d. Give h(m). 8 Let y(r) = -2*r**2 + 12*r + 4. Let l be y(6). Let b be l - (-11 + 3)*-1. Let s(u) = -u**2 + 4. Give s(b). -12 Let v be (144/40 + -3)/((-5)/(-125)*1). Let u(s) = -s**2 + 17*s - 19. Give u(v). 11 Let t(q) = q**2 + 6*q + 4. Let x = 840 - 863. Let y be (0 - -1)*-30 + 3. Let l = y - x. What is t(l)? -4 Let u(l) = -l**3 - 12*l**2 + 63*l + 19. Let x be u(-17). Let v = 391 - x. Let t(y) = -y**3 - 3*y - 2. Calculate t(v). 12 Let v(j) = -42 - 25 - j + 77. Suppose 0 = 4*d - 5*f + 52, -3*f + 12 = -2*d - 4*f. Determine v(d). 18 Suppose -11*o + 52 = -24*o. Let d(v) be the third derivative of v**6/120 + v**5/20 - v**4/8 + 5*v**3/6 + 3*v**2 - 27. Calculate d(o). 1 Suppose -4*b - 4 = -6*b. Suppose -5*f - 5*o = -50 + 45, o - 9 = -5*f. Let n(k) = 3*k**2 - 9*k**3 + b*k + k**2 + 0*k**f + 10*k**3 + 2. Calculate n(-4). -6 Let l = 94 - 92. Suppose -l*c = -7*c + 5. Let d(u) = 8*u**3 + 2*u**2 - 2*u + 1. Calculate d(c). 9 Let k(v) = -v**2 + 4*v + 12. Suppose 4*s + 7*r - 31 = 6*r, r - 1 = s. What is k(s)? 0 Let m(n) = 18*n - 81. Let d be m(9). Let w(l) = 16*l**2 - 16*l - 71 + 227 - 68 - l**3 - d. Give w(15). -8 Let v(x) = -x**2 - 7*x - 2. Suppose 6*y + 10 - 52 = 0. Let l(n) = n**3 - 7*n**2 - n. Let i be l(y). Determine v(i). -2 Let q be 5/(-7) - (144/14 - 10). Let l(y) = 44*y + 42. Determine l(q). -2 Let c(t) = t**3 - 8*t**2 - 8*t - 5. Let u be c(9). Suppose -u*b + 4*o - 1 + 17 = 0, -2*b + 4 = -4*o. Let j(a) = 21 + a + 6*a**2 - a**3 + 9 - 29. Give j(b). 7 Let z(v) = 4 + 5 + 524*v**2 - 523*v**2 - 13 + 0*v - 7*v. Let q(y) = -y**3 + 9*y**2 + 10*y - 2. Let m be q(10). Let s = 9 + m. What is z(s)? -4 Let w(v) = -26*v - 126. Let d(y) = 2*y**3 + 50*y**2 + 113*y + 478. Let t be d(-23). What is w(t)? 4 Let x(y) be the second derivative of y**4/4 - 4*y**3/3 + 5*y**2/2 - 2*y - 7. What is x(4)? 21 Let k be 42*24/144 - (2 - (-5 + 1)). Let j(x) = -42*x**3 - x**2 + 3*x - 1. What is j(k)? -41 Let k(w) = w + 8. Let d be 6 + 3707/(-19) + (-6)/(-57). Let z = 183 + d. Calculate k(z). 2 Let j = 15 + -25. Let l(h) = 74*h - 784. Let i(m) = -12*m + 126. Let o(s) = -31*i(s) - 5*l(s). Determine o(j). -6 Let j(k) = -k**2 - 10*k + 1. Let i = 2063 - 2076. Determine j(i). -38 Let b(x) = 9*x**2 - 18*x - 40. Let u(i) = -11*i**2 + 19*i + 40. Let j(v) = -6*b(v) - 5*u(v). Give j(-5). 0 Let g(h) = -h**2 + 11*h - 26. Let s = 800 - 795. Suppose -5*y = 38*z - 42*z + 39, 3*y - 21 = -s*z. Determine g(z). 4 Let u(a) = 7*a - 211. Suppose 0*g - 3*j = -g + 43, -3*j - 167 = -5*g. What is u(g)? 6 Let h(g) = -g + 11. Suppose 1 - 136 = -9*x. Let u be (14/105)/(-1) - (-197)/x. Give h(u). -2 Let f be ((-30)/(-4) - (-15 - -12))*2. Suppose -3*l - f + 111 = 4*i, l - 4*i - 30 = 0. Let m = -28 + l. Let s(w) = -w. Calculate s(m). -2 Let n(k) be the third derivative of -1/120*k**6 + 5/6*k**3 + 0*k + 185*k**2 + 1/12*k**5 - 1/24*k**4 + 0. Give n(4). 17 Let w(j) be the first derivative of 1/2*j**2 + 16*j + 94. Give w(-11). 5 Let a(x) = -2*x**3 - 13*x**2 + 4*x + 52. Let g be a(-6). Let l(n) = n - 5. What is l(g)? -13 Let b = 7905 + -7899. Let i(q) = -11*q + 75. Determine i(b). 9 Let g be 15/((-60)/(-88)) + -8. Suppose -11 - 31 = -g*s. Let l(k) = -3*k - 1. Calculate l(s). -10 Let n(i) be the second derivative of -5*i**3/2 - 8*i**2 - 10*i - 63. Determine n(-1). -1 Let f(a) = -a**3 - 11*a**2 - 10*a - 10. Let i(v) = 5*v. Suppose 130 = -21*u + 22*u. Let r = 128 - u. Let y be i(r). Determine f(y). -10 Let p(z) = -10*z + 124. Let l = 7154 + -7141. What is p(l)? -6 Let t(h) = h**3 + h**2 - 12*h + 10. Let j = 4015 + -4012. Give t(j). 10 Let d(x) be the first derivative of -4*x**3 + 104 - 1/4*x**4 + 6*x + 15/2*x**2. Determine d(-13). -20 Let y be (1/(-1))/(1/(-11)). Suppose f - y = 2*f. Let q(b) be the first derivative of -b**2/2 - 9*b + 6987. Calculate q(f). 2 Let o be (0 + 1 + -3)*(-12)/12. Let m be (14/(-6) - 16/24) + o. Let q(t) = 3*t**3 - 2*t**2 - 2*t - 1. Give q(m). -4 Let b(c) = -c**3 - 7*c**2 + 3*c + 15. Let m be b(-7). Let u(s) = -3*s**2 + 8*s - 14. Let i(x) = -x**2 + 4*x - 7. Let h(k) = -5*i(k) + 2*u(k). What is h(m)? -5 Let k(s) = -138*s + 1812. Let l be k(13). Let f(v) = v**2 - 17*v - 31. Calculate f(l). -13 Suppose -12 = -4*g - 2*o, -4*g + 2*g - 4*o - 6 = 0. Let u(c) = 4*c**2 - 2. Let h be u(-1). Let y(v) = -2*v - h*v + 4 - 2*v + 4*v. Give y(g). -6 Let f(b) be the first derivative of -b**2 + b - 1/3*b**3 + 1. Let t be (-3)/18*(4 + -18)*(-12)/(-28). What is f(t)? -2 Let m(h) = h**2 - 4*h. Suppose 5*r = -5*d - 11 + 6, -3*r + 5*d = -29. Suppose x + r = 58. Let w = x + -51. Determine m(w). 0 Let q(y) be the second derivative of y**5/10 - 5*y**4/4 - 3*y**3/2 + 11*y**2/2 + 892*y. What is q(8)? 3 Let f be 2/(5/(15/2)). Suppose 0*n - 18 = f*n. Let c(u) = 2*u + 11. Let d(a) = -a - 6. Let y(v) = 4*c(v) + 7*d(v). Determine y(n). -4 Let v(g) = -3*g**2 - 78*g + 93. Let m be (6*1)/(206/(-927)). Give v(m). 12 Suppose -50*p - 221 = -21. Let h(k) = -k**3 - k**2 + 5*k - 2. Determine h(p). 26 Let w(g) be the first derivative of -13*g**2/2 - 4*g - 189. Give w(-3). 35 Let t(w) = -50*w - 45 - 2*w**2 + 0*w**2 - 22 + 116 - 51. Determine t(-25). -2 Let h(q) = q**3 - 15*q**2 - 18*q + 18. Let a be -11 + 34 + -16 - -9. Give h(a). -14 Let u be (102/8)/(-10*15/(-11400)). Let j = u + -974. Let h(d) = 5*d - 7. Calculate h(j). -32 Let m(h) = h + 4. Let r = -157 - -92. Let f = r + 57. Let w = 2 + f. Give
{ "pile_set_name": "DM Mathematics" }
= -28780 + 547008/19. Let h = b - k. Which is bigger: h or -1? h Let a(h) = h**3 - 4*h**2 - h - 1. Let g be a(4). Which is greater: g or -8? g Let z = 8 - 9. Is z != -2/29? True Suppose -5*a - p = 262, -3*a - 4*p = p + 144. Is a at least -52? False Let q(x) = x + 7. Let z be 2*(-1)/2*5. Let d be q(z). Suppose -w = -d*w. Which is bigger: w or -1/5? w Suppose 3*k = -2*k + 5. Suppose -m + k = -4. Suppose -2*s + 6 = -m*c, -c + 5*s - 15 = -0*c. Is 1 greater than or equal to c? True Suppose -q + 19 = -5*u, u - 5*u - 21 = 5*q. Let j = 157 - 787/5. Which is smaller: q or j? q Let m be 1*(-5 + (2 - 0)). Suppose 0 = -0*x + 2*x - 8. Let d = x + m. Which is greater: 3 or d? 3 Let i(l) = -l**2 + 8*l + 1. Let s be i(6). Is 2 at least s? False Let d be 14*(-1)/2 + -1. Let q = d - -15. Is q != 6? True Let v(m) = m + 1. Let i(r) = r**2 - 6*r - 8. Let c be i(7). Let t be v(c). Suppose t = 5*u - u. Which is smaller: u or -1? -1 Let v be (6/(-5))/((-9)/30). Let m be (v/(-6))/((-6)/(-9)). Let p = m - -2. Is 1/5 bigger than p? False Suppose c - 3 = 2*c. Let o(r) = 4*r + 7. Let t be o(c). Is -5 equal to t? True Let l = -1 - 1. Suppose -4 = -p + 5*p. Let k = p - l. Which is bigger: k or 1/2? k Let z be (-247)/7 + 2 - (-4)/14. Which is smaller: z or -32? z Let c = 4 + -6. Which is bigger: c or -1? -1 Let z(x) = 3*x**2 - x. Suppose 4*k - 4 + 0 = 0. Let w be z(k). Is 1 <= w? True Let m(j) = 2*j + 18. Let i be m(-9). Which is smaller: i or -1/2? -1/2 Suppose 6*j = 7*j - 4. Suppose j*v - v = 6. Suppose 8 = 2*o + v*o. Are o and -2 non-equal? True Let x = -3 - -18. Let i = x + -14. Let s = 1 - 1. Which is smaller: i or s? s Suppose 4*b - b - 6 = 0. Suppose f + 2 = -0, b*f = 4*p - 4. Suppose -u = -6*u - 25, -y + 25 = -5*u. Do y and p have the same value? True Let o = -0.6 - -1. Let h = 2.6 - 2.71. Let a = h + 0.01. Which is smaller: a or o? a Let p be ((-24)/(-20))/3*30. Is 11 at most p? True Let f = 0.03 + -0.13. Let c = 72 + -72.2. Is f greater than c? True Suppose k = -9 + 1. Let q(o) = o + 5. Let m be q(k). Is m < -1? True Suppose -10 = -5*t + 3*t. Suppose -2*a = 3*y - 3*a - 9, 12 = 4*y - t*a. Let o be y/9 - (-6)/9. Is o smaller than -1/10? False Let z(a) = a**2 - a - 2. Let h be z(2). Suppose 3*k - 10 = -1. Suppose -k*n = -h*n. Do 3/4 and n have the same value? False Let k be (-34)/9 + (-4)/18. Is -8 <= k? True Let k be -2*1*(-3)/(-6). Suppose 0*l = -3*l. Are l and k equal? False Let m = 0.09 + 8.31. Let h = -1.6 - m. Let t = 7 + h. Which is greater: -0.1 or t? -0.1 Let r = -24 + 26. Let z be ((-5)/(-5))/(r + -1). Let d be (4/18)/((-6)/(-9)). Is d >= z? False Let g be (35/15 + -2)*(-6)/(-9). Does g = 1? False Let z(q) = -8*q**3 - q**2 + 2*q - 1. Let p be z(1). Let d = p - -7. Which is bigger: 2/5 or d? 2/5 Let y = -3 - -1.6. Let c = -1.3 - y. Is 0.05 greater than c? False Let f = -59 - -175/3. Which is smaller: -2 or f? -2 Let w(m) = m**3 - 5*m**2 - m + 5. Let s be w(5). Let g be (70/(-9))/((-2)/3). Let a = g + -181/15. Which is greater: a or s? s Suppose 10 = 3*h - 2. Let r be (5 + -7)*18/h. Is -9 < r? False Suppose s = -y - 0*s, 0 = -4*s - 20. Suppose 5*t = 3*t + 5*p + 7, 2 = 2*p. Which is bigger: t or y? t Suppose -3*x - 2 - 5 = 2*j, 0 = -4*j - 5*x - 11. Let w be j/(-12) - (-9)/(-36). Are 1 and w unequal? True Let c be (-1)/((-3)/6) - -1. Suppose -c*q = -4*q - 24. Let a be (15/q)/((-2)/4). Does 0 = a? False Let v(g) = -g**3 - 7*g**2 - 5*g + 5. Let f be v(-6). Let u = 486/65 - 37/5. Is f bigger than u? False Let u be 4/(-5)*5/(-1). Let h = -41 - -42. Which is greater: h or u? u Suppose 3*r + 0 - 17 = 4*o, 5*r = 4*o + 15. Which is smaller: 0 or r? r Let o be (1/(-2))/((-27)/(-12)). Let u(m) be the second derivative of -m**3/6 + m**2 + 2*m. Let g be u(3). Is o greater than or equal to g? True Let s = 143 - 727/5. Let k be 2/10 - 201/(-105). Let r = k + s. Are r and 4 unequal? True Suppose -3*s = 5*o - 3, 5*o + 5 = -0*s - 5*s. Let y be 0 - 2 - (-8 - -4). Which is bigger: y or o? o Let u be ((4 - 0) + -4)/2. Which is smaller: u or 2/53? u Suppose -3*n = -4*n. Which is smaller: n or 44? n Let l = 0.7 - 5.7. Is l >= 1/3? False Let r(j) = -4 + 0*j + 10*j**2 - 4*j + 4*j - j**3. Let w be r(10). Do w and -5 have different values? True Suppose -2*o + 21 = g, 95 - 20 = 4*g - o. Suppose 0 = 2*c - 5*q - 5, 5*c + q + g = 3*q. Let d(a) = -a - 5. Let n be d(c). Which is smaller: -1 or n? -1 Let j = -0.079 - 0.041. Is j < 3? True Let w(x) = -x**2 + 10*x - 5. Let a be w(9). Which is bigger: 3 or a? a Let b = -24 - -20. Let t = -2 - -1. Which is smaller: t or b? b Suppose -25*w + 24*w = 2. Is w <= -3/2? True Let c = 265.98 + -263. Let k = 0.12 + c. Let q = k + -0.1. Does -2/5 = q? False Let j = -8288/9 - -922. Does j = 0? False Let h be (-1)/(-2)*(-4)/51. Is h at least 1? False Let y = 8/15 - 31/30. Which is smaller: -2/9 or y? y Let a(t) = -2*t**2 + t. Let z be a(2). Let w = z + 5. Let v = 0.2 + -0.2. Is v at most as big as w? False Let p(j) = 2*j + 2. Let h be p(-2). Let s be (h - -1)/(5/10). Let i be -3 - (-6)/(s + -1). Is i >= -5? True Suppose 2*d - d = -2*p + 5, 2*d - 4*p = -14. Let i = 3 + d. Is 1 bigger than i? False Let d = 0.3 - 0.3. Let t = d + 0.1. Let v = t - 0.1. Is v not equal to 2? True Suppose 1 = -h - 5. Let u = h - -7. Suppose -5*n + 7 = p, 3*n - n - 4*p + 6 = 0. Does u = n? True Let b(f) = f**3 + 4*f**2 + 4*f + 5. Let m be b(-4). Which is smaller: 4 or m? m Let b be 2 - (0/(-3) + 8). Let o = 10 + b. Suppose -o + 0 = 4*d. Which is greater: d or -8/5? d Let y be (-8)/(-10)*(-3)/30. Is y <= 1? True Let o = 2/13 + 5/52. Suppose 0 + 8 = -2*b. Let z = b + 3. Is o less than or equal to z? False Suppose -2*z + 16 = 4*o, z + 0*z - 15 = 5*o. Let l(a) = a**3 - 10*a**2 - a + 11. Let t be l(z). Let p be 1 + -1 + (-1)/(-1). Is p >= t? True Let q = -22.15 - -26.178. Let y = -0.072 - q. Let w = 4 + y. Which is bigger: w or -1/5? w Let d = 40.2 - 57. Let l = d - -15. Let g = l - -2. Is g greater than or equal to 2? False Let i = -169/133 + -3/19. Which is bigger: 0 or i? 0 Suppose -2*o + 5*q - 19 + 0 = 0, 3*q = 4*o + 3. Is o bigger than 1? True Suppose 4*k = 3*a - 21, k + 27 = 3*a - k. Suppose a = -4*t - 5. Let r be (8/(-6))/(2 + t). Which is smaller: -2/5 or r? -2/5 Let l = -58 - -64. Are 12 and l unequal? True Let h be (-2 - -3)*(2 + -5). Let g = h + 4. Is g greater than 2/5? True Let q = 4 + -6. Let b(l) = l**3 + 4*l**2 + 3*l. Let p be b(q). Which is smaller: p or -2/9? -2/9 Let i = -3 + 5. Suppose i = 4*w - 10. Let g = w + -3. Which is greater: 2 or g? 2 Let d(n) = -2*n**3 + 7*n**2 + n - 10. Let y be d(-8). Let q be y/40 + (-8)/(-20). Let z = -37 + q. Is 0 greater than z? True Let y(j) = -2*j**2 + 4*j - 3. Let d be y(3). Are d and -9 equal? True Suppose -q + 0 + 2 = 0. Let i = 11 - 13. Let b be ((-5)/i - 2)*q. Is -1/4 at least as big as b? False Let j be 2 - ((-608)/(-100) - 4). Is j < 1? True Suppose s + 7 = 3*s - 5*v, v - 9 = 3*s. Let t(x) = -x**3 - 4*x**2 - x - 2. Let w be t(s). Suppose -j = -4*j + 9. Which is bigger: w or j? j Let y = 274/111 - 5/37. Let r be -21*-3*4/18. Let u = r + -11. Which is smaller: u or y? y Let m = 1 + -31. Do -28 and m have the same value? False Let g(r) = r. Let s be g(2). Let y be 6 + -1 - (-2 + 4). Which is greater: y or s? y Let n = -11/8 + -1/8. Let p be 0 + (-2 - (-3 + 2)). Is n <= p? True Suppose -3*q + 2*q - 2 = -2*g, 0 = -5*g - 10. Which is smaller: -7 or q? -7 Let u = -220/3 - -366/5. Does u = 1? False Let t = -0.124 + -0.876. Are t and 3/5 unequal? True Let k(m) = -m**2 - 7*m + 2. Let j be k(-7). Let p be j/(-3) - (-10)/24. Let n(z) = z**3 + 2*z**2. Let v be n(-2). Is p less than or equal to v? True Let k = 1.9 + -4.9. Which is smaller: -6 or k? -6 Let b = 2/83 - -3067/166. Let d(g) = -10*g + 1. Let n be d(2). Let a = n + b. Which is greater: a or -2? a Let z = -71 - -126. Is z at most as big as 55? True Let o(a) = a**2 + 12*a + 9. Let x be o(-11). Let t = -1 + -2. Let j = t - -1. Is x greater than or equal to j? True Suppose -s - 2*u = 3*s, 6 = -3*u. Let y = -4 - 4. Let m = y + 8. Which is bigger: s or m? s Let l = 12/7 + -50/21. Is -0.1 less than l? False Let v = -2 + 1.8. Let f = -0.4 + 0.2. Let z = v - f. Is 1 equal to z? False Let u = 12.1 + -0.1. Let v = 15 - u. Which is smaller: -0.2 or v? -0.2 Suppose 5*b + 3 = 3*s, 2*s + 3*s
{ "pile_set_name": "DM Mathematics" }
rt(65))*-2)/((sqrt(60)/sqrt(4))/sqrt(3)). sqrt(13) Simplify (-3*sqrt(104)*-1 + sqrt(104))/(sqrt(32) + sqrt(32) + (sqrt(32) - (sqrt(32) - sqrt(1568))) + sqrt(32) + sqrt(8)). 4*sqrt(13)/21 Simplify ((((sqrt(66) + (sqrt(66) - 1*sqrt(66)))*1)/sqrt(3))/(-2*sqrt(200) - sqrt(200) - sqrt(200) - sqrt(200) - sqrt(6)/sqrt(3)*1))**2. 11/2601 Simplify 2 + -4*(((sqrt(45)*2)/sqrt(9))**2 + sqrt(60)/(sqrt(36)/sqrt(3)) + 0). -78 - 4*sqrt(5) Simplify 3*(1 + 6*(-1*sqrt(171) + 1)**2)*-1. -3099 + 108*sqrt(19) Simplify -3*sqrt(13)*-2*-3*-6 + (-4*1*sqrt(637))**2 + sqrt(637) + -4. 115*sqrt(13) + 10188 Simplify (sqrt(448)*3 + -4 + 1 - (-1 + sqrt(448) + 4 + -1))**2. -160*sqrt(7) + 1817 Simplify 3*(((-1*sqrt(1100) + 0)**2 - (sqrt(1100) + 1 + sqrt(1100))*5) + sqrt(1100) + sqrt(1100) + -1 + (sqrt(1100) + 0)**2 + 5). -240*sqrt(11) + 6597 Simplify (-1 + (sqrt(95) - -5*1*sqrt(95) - sqrt(95))/(-1*sqrt(5)*6 - sqrt(5)))**2. 10*sqrt(19)/7 + 524/49 Simplify (5*sqrt(616)/(2*sqrt(11)))/(sqrt(288) - -4*(-3*sqrt(288) - sqrt(288))). -sqrt(7)/36 Simplify -5 + (-4*-1*sqrt(900) + sqrt(900))/(sqrt(75)*-1 - (sqrt(72)/sqrt(3))/sqrt(8)). -25*sqrt(3)/3 - 5 Simplify ((sqrt(190)*1 + sqrt(190))*-6 + 1*-1*sqrt(190))/((sqrt(90) - sqrt(90)*2)*-3 + sqrt(90)). -13*sqrt(19)/12 Simplify ((sqrt(187)/sqrt(176) + sqrt(153) + -2)**2 + ((sqrt(17) + 4)*-6)**2 + -4)*-3. -65643/16 - 825*sqrt(17) Simplify (sqrt(2299)*-2 + 2 + (4*(sqrt(133) - sqrt(133)*-1 - sqrt(133)))/sqrt(7))**2. -72*sqrt(19) + 6160 Simplify ((2*sqrt(704) + -4 - 2*sqrt(11)*3*6) + -3)**2. 280*sqrt(11) + 4449 Simplify ((3*sqrt(132)*5*5)/(sqrt(144)/((sqrt(72)*5)/sqrt(6))))**2. 1546875 Simplify (sqrt(1008)*3 - sqrt(1008))/(6*sqrt(4)*5)*1. 2*sqrt(7)/5 Simplify 3*((-1*(1 + sqrt(539)))**2 + (0 + sqrt(704) - sqrt(704) - sqrt(11)) + sqrt(33)/sqrt(3)*3). 48*sqrt(11) + 1620 Simplify ((sqrt(78) - sqrt(78)*1 - sqrt(78))*1 + (sqrt(78) - sqrt(78)*1)*-1)/(sqrt(24)*4*-6). sqrt(13)/48 Simplify (((3*1*sqrt(252) - sqrt(252)*-2*-2) + sqrt(252) + sqrt(252) + -3*(sqrt(252) - (0 + sqrt(252))) + sqrt(252) + 2)*-2)**2. 192*sqrt(7) + 4048 Simplify ((sqrt(260)/(sqrt(1210)*-1))/(2*(-4*sqrt(242) - sqrt(242))))**2. 13/1464100 Simplify (-2*-2*(-2*(sqrt(539) + sqrt(539) + 1) + -3)*3)**2. 40320*sqrt(11) + 1245456 Simplify (5 + -2*(-4*sqrt(165)/sqrt(5))/sqrt(11))*3. 15 + 24*sqrt(3) Simplify ((sqrt(114) - (sqrt(114) + (-5*sqrt(114) - sqrt(114) - sqrt(114)) + sqrt(114)))*4)/((6*sqrt(72))/sqrt(12)). 4*sqrt(19) Simplify 4 + ((sqrt(1872)*2 - sqrt(1872))*-4*-2)**2*-5 + -1. -599037 Simplify (-4*((sqrt(3200) + sqrt(3200)*1 + 2 + sqrt(3200) - sqrt(3200)) + -2)*-2)**2. 819200 Simplify (sqrt(17) + sqrt(425) + -5 - (sqrt(17) - (sqrt(1700)*-1)**2)) + -1*(sqrt(68) + (-5*(sqrt(68) - 1*sqrt(68)))**2). 3*sqrt(17) + 1695 Simplify (-1*((sqrt(80) + (sqrt(80) + 0 + -3 - sqrt(80)) - (-1*sqrt(80) + -2)) + 1))**2. 320 Simplify -6*(5 + 0 + sqrt(245) + sqrt(245)) + sqrt(245) + -1 + -4 + (1*sqrt(245))**2 + 0. -77*sqrt(5) + 210 Simplify (sqrt(77)*-4*-6*-1)/((5*sqrt(252)/sqrt(6) + sqrt(42))/sqrt(6)). -4*sqrt(11) Simplify (sqrt(209)/(sqrt(1584)*-1))**2 - 6*(sqrt(19) + sqrt(19) + -1)*5. -60*sqrt(19) + 4339/144 Simplify (sqrt(133) + 2*2*sqrt(133))/(sqrt(14)/(sqrt(10)/sqrt(5))) + 3. 3 + 5*sqrt(19) Simplify (2*(-6*(sqrt(1700) - sqrt(1700)*1)*1 + 3*(1 + sqrt(1700))*-2))**2. 2880*sqrt(17) + 244944 Simplify (((sqrt(66) + sqrt(66)*2)*2 - (sqrt(66) + sqrt(66)*-1*-1))/((2*sqrt(6) + sqrt(6))*2 + sqrt(6) - sqrt(48)/(sqrt(16)/sqrt(2))))**2. 44/9 Simplify (0 + -2*sqrt(539)*6 + sqrt(539) + 2 + sqrt(539) + 3 + sqrt(539) + -4)**2. -126*sqrt(11) + 43660 Simplify (2*(2 + -4 + -1*(sqrt(847) - (-3 + 0 + sqrt(847)) - sqrt(847))))**2. -440*sqrt(7) + 3488 Simplify ((sqrt(190) - (sqrt(190)*1 + sqrt(190)))*5 - (sqrt(190) + sqrt(190)*1*-4))/(sqrt(40)/(3*sqrt(16)/sqrt(4) + sqrt(4))). -8*sqrt(19) Simplify 3*(((sqrt(325) - (sqrt(325) + -3)) + sqrt(325) + -1)**2 + 5). 60*sqrt(13) + 1002 Simplify 4*-3*((sqrt(343) + 0)**2 + 4). -4164 Simplify sqrt(55)/(sqrt(5)*1) + sqrt(44)/sqrt(4) + -3 - ((-4 + sqrt(539)*-2)**2 + 3). -2178 - 110*sqrt(11) Simplify (((sqrt(6)*-1*-3)/sqrt(2) - (2 + sqrt(75) + -2))*3)**2. 108 Simplify (sqrt(55) + sqrt(275)/(sqrt(5) + sqrt(20)/sqrt(4)))/(sqrt(33)/(-4*sqrt(3))) + 5. -6*sqrt(5) + 5 Simplify 6*(2 + (sqrt(162) - (0 + sqrt(162) + -1 + sqrt(162))) + sqrt(162))**2. 54 Simplify 3 + (-2*sqrt(1088) + 4 - (sqrt(1088) - (-5*(1 + sqrt(1088)))**2) - (-3 + sqrt(1088) + 0 + 0 + 1 + sqrt(1088))**2). 440*sqrt(17) + 22876 Simplify 2 + (sqrt(300) + 1 + sqrt(300))**2 + (2*(-1 + sqrt(300)))**2 - ((-2*sqrt(36))/sqrt(4))/(sqrt(3) - -2*sqrt(12)). -198*sqrt(3)/5 + 2407 Simplify (0 + 2*sqrt(931))**2 - (-2*sqrt(931) + -3 + sqrt(931) + sqrt(931))**2. 3715 Simplify 5*2*(3*-5*(1 + sqrt(7) + 4 + sqrt(7) - sqrt(7)))**2. 22500*sqrt(7) + 72000 Simplify (-4 + (sqrt(2205) - ((-6*(sqrt(2205) - 2*sqrt(2205)) - sqrt(2205)) + sqrt(2205)))*5 + -4)**2. 8400*sqrt(5) + 1378189 Simplify 5 + -4 + (sqrt(52) + (sqrt(312) - 1*sqrt(312))/sqrt(6))/(sqrt(144)/sqrt(9)). 1 + sqrt(13)/2 Simplify 2*sqrt(12)*1*5 - (((1 + sqrt(300))**2 + sqrt(300))*-3 + sqrt(300) - sqrt(300))*5. 470*sqrt(3) + 4515 Simplify (-1*sqrt(1216)*3)**2*6 + 5. 65669 Simplify (1*sqrt(152)*1)/(sqrt(8) - sqrt(40)/(sqrt(405) - sqrt(5) - sqrt(5)))*5. 35*sqrt(19)/6 Simplify 5*(sqrt(396) - (sqrt(396) - (sqrt(396) + -2)*-6)**2) - (3 + sqrt(396)*1)*5. -97755 + 5040*sqrt(11) Simplify (sqrt(2178) + -6*(sqrt(2178)*-2 - sqrt(2178)))/(sqrt(108)/sqrt(192) + sqrt(108)/sqrt(3)). 836*sqrt(2)/9 Simplify (sqrt(25)/sqrt(5) + 3)*-2 - (-6*3*sqrt(5))**2*3. -4866 - 2*sqrt(5) Simplify ((sqrt(272)/(sqrt(16)/sqrt(8)))/(sqrt(24)/(sqrt(12)*-1) + (sqrt(22) + sqrt(22)*2)/sqrt(11)))**2. 17 Simplify ((-4*(sqrt(78) + 2*sqrt(78)))/sqrt(2))/((-2*sqrt(300))/sqrt(4)). 6*sqrt(13)/5 Simplify 3 + 3 + 3*(-2 + sqrt(396)). 18*sqrt(11) Simplify (4 + 3*sqrt(1053) + 1*(2 + sqrt(1053)) + -4)**2 + -3. 144*sqrt(13) + 16849 Simplify (((sqrt(143)*2)/sqrt(11) - sqrt(13)) + -4 - 6*4*(sqrt(13) + -1))*6*-6. -720 + 828*sqrt(13) Simplify ((sqrt(18) + sqrt(162)*4)/((sqrt(2700) + sqrt(27) + sqrt(27))/sqrt(3)))**2. 169/72 Simplify sqrt(33)/(sqrt(6)/sqrt(2)*-6) - (0 + (sqrt(891) + 3)**2). -900 - 325*sqrt(11)/6 Simplify ((sqrt(360)*-1*6)/sqrt(6))/((sqrt(144) - -2*(sqrt(144) + 1*sqrt(144) + sqrt(144) - sqrt(144)))/sqrt(12)). -6*sqrt(5)/5 Simplify (4*((-5*sqrt(99) + sqrt(99))/sqrt(11))/(sqrt(3) + (sqrt(3) - 5*sqrt(243))))**2. 768/1849 Simplify (3*sqrt(847)*5 + sqrt(847) + 2*sqrt(7)*2 + 1)**2. 360*sqrt(7) + 226801 Simplify (3*(sqrt(117) + sqrt(117)*1)*1)/(sqrt(36)/(sqrt(288)/sqrt(8))). 18*sqrt(13) Simplify sqrt(108)/(sqrt(225) - sqrt(9)) - sqrt(12) - (sqrt(108) + -2 + sqrt(108) + sqrt(108))*-3. -6 + 105*sqrt(3)/2 Simplify ((6*(sqrt(112) + 1) - sqrt(112) - sqrt(112) - (sqrt(7) + (sqrt(7) - (sqrt(70)/sqrt(2))/sqrt(5)) + sqrt(7) + -1*sqrt(7) + -5)) + 0)**2. 330*sqrt(7) + 1696 Simplify ((sqrt(12)/sqrt(3))/sqrt(2))**2 + -2 + 5*(sqrt(686)/sqrt(7) - sqrt(2)). 30*sqrt(2) Simplify (2*(-3 + sqrt(405)*-3) - (sqrt(405) + -1 + 1 + 1 + sqrt(405) + sqrt(405) + -2))**2. 810*sqrt(5) + 32830 Simplify 3 + (sqrt(468) + -3)*4*6. -69 + 144*sqrt(13) Simplify (2 + sqrt(2156) + sqrt(2156) + 0 + (sqrt(44) - sqrt(6336)*-1) + 3)**2. 540*sqrt(11) + 32101 Simplify sqrt(125)*2 - (sqrt(5) + 4 + (sqrt(80))**2) - (4 + sqrt(5) + 5*(sqrt(5) + 0 + sqrt(5)))**2. -705 - 79*sqrt(5) Simplify sqrt(11) + (-2*sqrt(11) - sqrt(11)) + 1 - (4 + sqrt(55)/sqrt(5))**2 - sqrt(132)/(sqrt(144)/sqrt(300) - sqrt(12)). -35*sqrt(11)/4 - 26 Simplify -5 + (sqrt(405) + (-5 + sqrt(405) + 1*sqrt(405))**2)*4. -684*sqrt(5) + 6575 Simplify (2 + (sqrt(1377) + 2 + 2)*-1)*3. -27*sqrt(17) - 6 Simplify (1*3*sqrt(700)*4)**2 - 4*(sqrt(700) - (sqrt(700) + -2 + 3)**2). 40*sqrt(7) + 103604 Simplify 5 + ((sqrt(192) + sqrt(192) + 4*(sqrt(192) + -2))**2 - (-3*sqrt(27) + (sqrt(3)*2)**2 + 4)). -759*sqrt(3) + 6965 Simplify (3*(0 + (0 + sqrt(2592))*-6))**2. 839808 Simplify -1*sqrt(125)*5 - sqrt(45)/sqrt(9)*2*-2. -21*sqrt(5) Simplify (-1 + (sqrt(7) + sqrt(112))**2 - sqrt(252)*-2) + (sqrt(448)*1 + sqrt(7) + (sqrt(7) - sqrt(42)/(1*sqrt(6))))**2. 12*sqrt(7) + 741 Simplify (0 + sqrt(612) + -4 + sqrt(612) + 1 + -1 + 0)**2. -96*sqrt(17) + 2464 Simplify ((2 + sqrt(448) + -2)**2 - (-4 + -3*sqrt(448) + sqrt(448))) + 5. 16*sqrt(7) + 457 Simplify ((
{ "pile_set_name": "DM Mathematics" }
et d = 11 - 9. Suppose 0 = 3*t - 3*f - 18, -d*t - f = j*f + 6. Solve -4*k + 5*m = -20, 2*m = t*k + 2*k - 8 for k. 0 Suppose -3*s = -h - 19, -h - 27 = -4*s - 2. Let b(v) = -v**2 - s + 2*v**2 - 7*v - 2. Let f be b(8). Solve 2*y = 4*p - f*y - 24, 5*p + 5*y = 0 for p. 4 Suppose -3*a = -a - 10. Let z = -59 - -22. Let f = -17 - z. Solve 0*q = 4*q + s + f, -q - a = 3*s for q. -5 Suppose 2 = -c - 4. Let y be (-4)/3*c + -1. Solve 0 = 3*j - y*j - 2*q + 12, 2*q = -2*j + 6 for j. 3 Suppose -h = -3*m - 8 + 21, -3*m + 2*h + 11 = 0. Suppose -4*a + m + 7 = 0. Solve -2*z = -a*i - 15, -2*z + i - 10 = 3*i for z. 0 Let l = -5 + -3. Let p = l - -8. Solve 3*t = 4*n + 9, p = -2*t - 0*n + 2*n + 6 for t. 3 Let y(t) be the third derivative of -t**5/60 - 13*t**4/24 + 5*t**3/3 - 4*t**2. Let i be y(-9). Solve -4*v = 4*g + 24, -4*g - 5*v = -20 + i for g. -4 Let g(b) = -10*b - 10 - 5*b + 1 - b**2 - 2. Let y be g(-14). Solve 3*r - 1 = -4*s, 4*r + y*s = -0*s + 6 for r. 3 Suppose 3*y - 20 = -2*y. Let c(h) = 2*h**3 - 2*h**2 + h - 2. Let u be c(2). Let g = -4 + u. Solve g*a - 3*o = -5, 2*o + 6 = y*a - 6*a for a. -2 Let d(l) = -14*l. Let p be d(-3). Suppose -a + 18 = 3*c, a + 3*c + p = 2*a. Solve -3*x + 5 = -5*t, -3*x - 7 = 4*t - a for t. 2 Let w be 2*((1 - -1) + 0). Suppose -5*z = -6*z + w. Solve 2*y + 18 = 4*m, y - z - 1 = -5*m for y. -5 Let i(o) = -o + 14. Let t be i(5). Solve -3*d + 4 = z - t, 2*d - 12 = z for z. -2 Let o = 7 - 1. Let p(u) = u**3 + 8*u**2 - u - 8. Let t be p(-8). Let j(s) = -s**3 + s**2 + 3. Let a be j(t). Solve -5*g + q = 8, -a*g - 5*q + 18 = -o*g for g. -1 Suppose -75 = -5*b - 5*t, -2*t + 0*t + 87 = 5*b. Suppose 5*r + 11 = -2*l - b, 4*l + 32 = -3*r. Let j = -2 - r. Solve -z = -j*i - 2, -3*i + 0*z = 3*z + 12 for i. -2 Let k be (-44)/(-4) - 1 - 1. Let h = 13 - k. Solve h*q - 6 = -4*z + 2, 0 = 2*z + 5*q - 13 for z. -1 Suppose y - 9 = 2. Suppose -d = -1, 0 = -5*h - 5*d + y + 14. Solve -h*b - x - 8 = 2, b + 6 = -2*x for b. -2 Let b = 12 + -3. Solve 5*q = -2*z - z - b, 2*q = -2*z - 6 for q. 0 Suppose 2*p - 28 = -2*v, v = -3*p - 4*v + 34. Let f = 15 + -99. Let h be f/(-16) + (-2)/8. Solve 3*t + 21 = h*s + t, -2*t = -4*s + p for s. 3 Let f(u) = -u**3 - u + 11. Let k be f(0). Let i = 0 + -7. Let h = k + i. Solve 5*s + 6 = -2*c - 4, h*c = s + 24 for s. -4 Suppose -2*r = -2*k - 6*r + 6, -3*k + 29 = 2*r. Suppose -10 = -2*u + 4*f, 2*u - k = -2*u + f. Let i = 20 + -3. Solve -7 = -u*a + x, -3*a - 3*x = -2*x - i for a. 4 Suppose 7 = n + 2. Suppose 11 = 3*x + n*f, 4*x = 4*f - 2 + 6. Let d be (-13 + 3)*1/(-2). Solve x*j + 3 = w, w = 3*w - d*j - 10 for w. -5 Let h = 14 + -9. Let w = h - 3. Solve 2*p = -3*u + 19, 6 = w*p + p for u. 5 Let r(v) = -3*v - 1. Suppose -n - 5*o - 16 = 0, o + 1 = n + n. Let w be r(n). Solve 4*s = l + 21, 0*s - w*l + 3 = s for s. 5 Let q = -8 - -13. Suppose -3*j + 34 = q*d, -4*d + 36 = -3*j + j. Solve c - 12 = -c + 4*p, 3*c - p = d for c. 2 Let y = 1 - -3. Suppose 6 = y*p - 14. Suppose -128 = -5*f - 28. Solve c = 5*d - f + p, 0 = -3*d - c + 1 for d. 2 Let p(n) = 16 - 14*n + 13*n - 2. Let s be p(9). Solve 0*r = 3*g - s*r - 6, -4*r = -4*g + 8 for g. 2 Let d = 1 + -5. Let l be (-6)/(-9)*18/d. Let z = l - -13. Solve -3*k - o - z = -k, 5*o = -3*k - 22 for k. -4 Let r be 84/36 + 2/(-6). Solve 3*a - 2 = a, 0 = -5*k + r*a - 12 for k. -2 Let t be -1 + 20 + 2 - -1 - 3. Solve 5*p + 16 = 5*n - t, 0 = -2*p - 4*n - 2 for p. -5 Let j = -17 - -24. Let u = 14 + -12. Suppose -u*v + 7*v = 85. Solve -3*l + 8 = x, -3*x + 3*l - j = v for x. -4 Let n(f) = -14*f - 14. Let j(g) = 5*g + 5. Let r(o) = -17*j(o) - 6*n(o). Let b be r(2). Let u = -1 - b. Solve -4*q + c = -3*c - 16, -c - 7 = -u*q for q. 3 Let d(f) = 2*f - 1. Let o be d(4). Suppose -3*g - 2*n = o, -3*n = g + 2*n + 11. Let y be 3*(4 + -3) + g. Solve -y = l - h, l - 2*l - 4*h = -18 for l. 2 Let w(a) = a**2 - 3*a + 4. Let p be w(5). Solve -2*s = -4*u - p, -4*s + 8 = 2*u - 0 for s. 3 Let r = 17 + -12. Solve 4*i = 2*b + 26, 5*i + 1 - 46 = r*b for i. 4 Suppose -11 = -3*h - q + 5, 5*q + 11 = -2*h. Solve 4*u = g - 0 + h, 1 = 3*u - 5*g for u. 2 Suppose 2*y = 12 + 18. Let i = y + -11. Solve -5*s = -20, i*s - 2*s - 8 = -5*w for w. 0 Suppose -7*r + 50 = 15. Solve -4 = r*n + 5*s - 24, 3 = 3*s for n. 3 Suppose 20*c - 6 = 17*c. Solve 4*r + 2 = -o, -r - c = 5*o - 11 for o. 2 Suppose 50 = -5*s - 5*q - 15, q = -4*s - 49. Let x be (s + 16)*(-1 + 3). Let k be (0 + 2)/(1/1). Solve 3*i = 12, -2*w + x = k*w - i for w. 3 Suppose 0 = -g + 18. Solve -1 - 13 = 3*c + 4*k, 0 = -c - 4*k - g for c. 2 Suppose -5*p = 3*g - 7, -4*g - 3*p = -6 - 7. Suppose 0 = z - 2 - 0. Suppose h = z*h - 5. Solve -n + g*n + 5*l = -5, -3 = -h*n + 3*l for n. 0 Let n(o) = o**2 + 5*o - 1. Let u be n(-6). Solve 2*i + i - 11 = -4*h, -5*h = -u*i - 40 for i. -3 Let y be 115/35 + (-2)/7. Let f be 3/2*(-4)/(-3). Solve f*a = 5*a - 3, 18 = 3*v + y*a for v. 5 Let d be (-10)/(-2) + (-7 - -5). Let p be 0/1 - d - -3. Suppose p = -2*q + q + 3. Solve -k = -3*z + q*k - 9, -8 = -5*z - k for z. 1 Let s = 4 - 2. Solve 4*j + 4 = s*b, -2*b - 2 = j - 2*j for j. -2 Let c be 70/6 - (-4)/12. Let l = -3 + c. Suppose 3*h - 30 = l. Solve 3*m = 4*w - h, -5 = 4*w + 2*m + m for w. 1 Let q be (-10)/(-20) + (-19)/(-2). Solve 18 = -3*k - 3*d, 2*k = -d - q - 1 for k. -5 Suppose -4*o + 1 = -5*j, -4*j + o + 2 = -2*j. Suppose 2 - 8 = -j*w. Suppose 2*s - 12 = -z - 2, -19 = -5*s - z. Solve -5*k + w = -3*k - x, 3*k - s*x = 0 for k. 2 Suppose 5*m - 14 = 3*m. Solve 0 = 2*k - 3*l - 4, 0*k - l - m = 5*k for k. -1 Let d = -2 - -2. Solve 3*l + 5*y - 15 = 7, d = 3*y - 15 for l. -1 Let c(h) = -h - 2. Let v be c(4). Let z be v/2 - 1*-6. Solve -4*k - 27 = z*r, -2*k - 4*r = k + 29 for k. -3 Suppose 8 = 3*f - 7. Suppose 0*j = -j + 65. Suppose -5*d + 2*g = -21 - 47, -5*d + 5*g = -j. Solve -5*r = -4*m - d, 3*m + 3*r = -r + f for m. -1 Let o = 9 + -11. Let f be 1/o*0 - -7. Solve 2*n - 3 = 5*c + 8, -c + 5*n + f = 0 for c. -3 Let t(d) = -6*d**2 - 25*d - 40. Let h(a) = -a**2 - 5*a - 8. Let r(c) = -11*h(c) + 2*t(c). Let n be r(6). Solve 0 = -n*i + 2*u - 2, i - u = -3*i + 2 for i. 1 Let r(m) = 0*m + 0*m + 2*m - 3*m - 1. Let n be r(3). Let w be 1*(0 - n) + -1. Solve -a = 2*a - w*u - 9, 4*u + 16 = 2*a for a. -2 Let l(v) = -v**3 + 8*v**2 + 20*v. Let p be l(10). Solve -2*s + p*s = -5*h - 11, 0 = -3*h + 4*s - 1 for h. -3 Let n = 20 - 16. Solve 0 = -2*u, n*u + 3 = 4*z + 19 for z. -4 Let b(i) = -i**3 + 2*i**2 + 4*i + 2. Let k be b(-2). Let w = k - 2. Suppose 5*l + 25 = 5*a, 3*l = -5*a - 30 + 95. Solve -2*g - w = -t, -3*t + 2*g + a = 2 for t. 0 Let i = 19 - 5. Suppose 0 = 5*u - 1 - i. Suppose d = -u*d + 8. Solve -2*p = 2*l, -p - p + d*l + 12 = 0 for p. 3 Let p = -2 - -4. Suppose -g + 4 = 4*b, 3*b + 3*g + 4 = 4*g. Solve 0 = 4*w, -t - 5*w + p*w = b for t. 0 Let a(q) = q + 8. Let p be a(-6). Let t(h) = -h**2 + 4. Let b be t(0). Solve -b*d = -4*w - 8, -w + 2*w = p*d - 6 for d. 4 Suppose -1 - 4 = -5*a. Let h(l) = 2*l**2 - 11*l + 15. Let g be h(5). Let t be ((-25)/g)/(a/(-2)). Solve -t*y - 6 = k, 0 = 6*k - k - 5*y for k. -1 Suppose 4 + 2 = 3*a. Let g be 11 + (-4 - (-1 - 1)). Suppose -5*w = d - 8, -g = -w + 3*d - 1. Solve a*t = 2*k + 10, -w*k = 3*k + 20 for t. 1 Suppose 5*d - 2*d - 3 = -3*l, 0 = -3*d - 4*l. Solve -a + 6 = -3*x - 3, -a - d*x = 19 for a. -3 Let x be 1/1 - (3 + -2). Suppose -5*v + a = 12, 2*v - a - 2*a - 3 = x. Let q = 10 + v. Solve 0 = 5*c - q*p + 2*p + 25, -3*p = 2*c + 10 for c. -5 Let a = 9 - -12. Solve 2*c - a = 3*g, 4*c = 3*c - 5*g - 22 for c. 3 Suppose 0 = 5*g - 5*t - 10, 5*t + 2 - 7 = 2*g. Solve 0 = -a - 2*l + 3, g*a = -4*l + 3*l - 3 for a. -1 Let m = 6 + -4. Suppose p = -w - 0*p + 16, m = p. Solve 0 = 2*b - 2 + 12, y - w = 2*b for y. 4 Suppose 2*s + 0*s = 82. Solve -4*t + s = -5*i, -3*i = -0*i + 5*t - 5 for i. -5 Let f(a) = 4*a**2 + 2*a + 1. Let p be f(-1). Let t = p - 0. Suppose -k - t*l + 7 = 0, 3*l = -3 - 0. Solve -2*b = k, b - 13 - 7 = 5*m for m. -5 Let b(h) = -3*h - 15. Let z be b(-6). Solve z*a + 2*i + 1 = 2*a, -2*i - 4 = -2*a for a. 1 Suppose 0 = -5*f, c - 3*c + 5*f = 6. Let g = c + 7. Solve -4*x - g = -0*q - 4*q, -3*q - 1 = -x for q. -1 Let p = 80 - 54. Let g = 28 - p. Solve -a = -4*r, -2*a = g*a + 3*r for a. 0 Suppose 4*w + 4*f - 20 = 0, -2*w + 5*f = f - 4. Solve -n - w*u + 17 = 0, -n = 2*u + 3*u - 21 for n. 1
{ "pile_set_name": "DM Mathematics" }
Let g(h) = 3*h + 3 + 0 - 6*h - 10*h. What is the remainder when g(-5) is divided by 23? 22 Calculate the remainder when 19 is divided by (-6)/(-4)*(-5)/(-15)*8. 3 Suppose -4*o - 9 = 3. Let k(y) = -4*y - 1. What is the remainder when k(o) is divided by 2 - 5/(15/(-6))? 3 Suppose -x + 0*x + 5*p + 9 = 0, 4*x - 5*p - 21 = 0. Suppose x*b = -1 - 3. What is the remainder when 55 is divided by ((-25)/b - -2) + 1? 27 What is the remainder when 3*116/(4 + 0) is divided by 30? 27 Suppose 3*k = 4*z + 31, 5*k = 9*z - 5*z + 41. What is the remainder when 1/(0 - -1) + 8 is divided by k? 4 Let l = -12 + 21. Calculate the remainder when 119/5 - (-10)/50 is divided by l. 6 Suppose 9*h + 161 = 908. What is the remainder when h is divided by 21? 20 Suppose 0 = -x + 11 + 7. Calculate the remainder when 4 is divided by (-12)/(-18)*x/4. 1 What is the remainder when 37 is divided by -3*((-76)/(-6))/(-2)? 18 Let i = -27 + 17. Let g be (i/(-6))/(6/216). Suppose -2*y = 2*y - g. What is the remainder when y is divided by 8? 7 Let i be 2 + (-3)/((-6)/4). Suppose 0 = -i*r + 89 - 9. Suppose -4*v - v + r = 0. What is the remainder when 6 is divided by v? 2 Let j = 11 - 6. Suppose 0 = -n + 3*n - 6. Calculate the remainder when j is divided by n. 2 Suppose 5*k + 3*b = 170, 136 = 4*k - 0*b + 3*b. Let f = 1 + k. Let n = 7 + 5. What is the remainder when f is divided by n? 11 Suppose 0*b = 5*b - 65. What is the remainder when 140 is divided by b? 10 Suppose 2*s + 5 = i, 5*s - 4 = 2*i - 12. Suppose v + 33 = -z - 0*z, 3*v = z - 103. Calculate the remainder when 1/2*-1*v is divided by i. 8 Suppose -134 = -2*r + 3*m, -5*r + m = -3*m - 321. Calculate the remainder when r is divided by 10/(-45) - (357/(-27) + -3). 13 Suppose 4 = 2*j - 0*j + x, -4*j + x = -14. Let t(a) = -a + 2. Suppose 3*n + 20 = -2*n. Calculate the remainder when t(n) is divided by j. 0 Suppose 33 = 4*b - 7. What is the remainder when b is divided by 6? 4 Suppose -3 + 1 = -2*u. Let t(a) = 14*a**3 + a**2 + a - 1. What is the remainder when 43 is divided by t(u)? 13 Suppose 4*p + 4*x - 590 = -198, -5*p = -3*x - 498. What is the remainder when p is divided by 25? 24 Suppose -3*b + 93 = v, 51 = 2*b - 2*v - 3. What is the remainder when 57/5 - 12/b is divided by 3? 2 Let d(w) = 5*w**2 + 3. Calculate the remainder when 67 is divided by d(2). 21 Suppose -q + 54 = 5*q. What is the remainder when 29 is divided by q? 2 Let k(h) = 13*h - 19. Calculate the remainder when k(17) is divided by 12. 10 Suppose 2*v - 6 - 36 = 0. Suppose -3*u = -v + 6. What is the remainder when (32/2)/(1/((-1)/(-2))) is divided by u? 3 Let u(n) = -n - 3. Let t be u(-6). Suppose 2*l + l - 24 = 0. Calculate the remainder when 4/t*(-63)/(-6) is divided by l. 6 What is the remainder when 48 is divided by 16 + (-4)/(-2) - 1? 14 Let h(w) = 6*w - 2. Let o(y) = -y. Let k(b) = -h(b) - 8*o(b). Suppose -11 = -4*t + 17. Calculate the remainder when k(t) is divided by 6. 4 Let q = 71 - 42. What is the remainder when 56 is divided by q? 27 Suppose -3*s = -5 - 4. Suppose -s*u - 50 = -179. Calculate the remainder when u is divided by 15. 13 Let h(s) = -86*s**3 - 2*s**2 - s. Suppose 4 = -5*f - u, 4 = -2*f + u + u. What is the remainder when h(f) is divided by 22? 19 Suppose 9*z - 75 = 4*z. Suppose -z = -l + 23. What is the remainder when l is divided by 13? 12 Suppose 2*f + 5 = -7. Calculate the remainder when 12 is divided by -10*1*f/12. 2 Suppose -5*p + 11*p = 636. Calculate the remainder when p is divided by 12. 10 Suppose 0 = 4*a - 0*a - 32. Let i(t) = -t + 10. Let v be i(8). Suppose 3*n - 8 = -2*u + n, 5*n - v = u. What is the remainder when a is divided by u? 2 Suppose 4*h - 5 = -5*i, 3*h = -4*i + 1 + 2. Let v = -6 + i. What is the remainder when (3 - (-3 - v)) + 12 is divided by 3? 0 Let m(j) = j**2 - j - 5. Let k be m(4). Suppose -k*c = -2*c - 60. What is the remainder when 34 is divided by c? 10 Let p(r) = -r**3 - r**2 + r + 7. Let q be p(-5). Suppose 3*a = -w + 5*w - 141, -a - q = -3*w. Calculate the remainder when w is divided by 9. 6 Let l(h) = h**2 + h + 6. Calculate the remainder when l(-5) is divided by 5. 1 Let u = -34 + 67. Suppose -44 + 234 = 5*x. Suppose 4*n = -m + 69, -m = -2*n - 5*m + x. What is the remainder when u is divided by n? 16 Let a = -6 + 119. Calculate the remainder when a is divided by 38. 37 Let q = -9 + 18. Suppose 0*k + 5*k - 25 = 0. Calculate the remainder when q is divided by k. 4 Let k = 54 - 30. Let g = k + -6. What is the remainder when 34 is divided by g? 16 Let y = 35 - 27. What is the remainder when y is divided by 3? 2 Suppose q - 17 - 17 = 0. Let m be (1/2)/((-3)/(-414)). Suppose -i = -3*p - 15, -m = -2*i - 2*i + 3*p. What is the remainder when q is divided by i? 16 Let w(j) = 15*j - 9. Calculate the remainder when w(4) is divided by 14. 9 Suppose 2*d - 107 = -3*q + 3*d, 0 = 2*d - 2. What is the remainder when (q - -1) + 2 - 3 is divided by 19? 17 What is the remainder when 102 is divided by ((-10)/4 + 1)/(33/(-572))? 24 Suppose 0 = -i - 2 + 14. Calculate the remainder when 28 is divided by i. 4 Let j(z) = 1 + 2 - z + 2. Calculate the remainder when (-122)/(-4) - (-2)/4 is divided by j(-6). 9 Suppose -3*f + w = -110, -3*w + 2 + 10 = 0. What is the remainder when 187 is divided by f? 35 Calculate the remainder when -12*((-4)/(-3) + -2) is divided by 8. 0 Suppose 2*g - 8 = 0, 4*c + 20 = 3*g + 60. Let b be (6/4)/(3/(-4)). Calculate the remainder when b - (-1 - (2 + 24)) is divided by c. 12 Suppose 4*r - 6*r + 12 = 0. Suppose -4*n + r = 2*q, 5*n + 2*q - 25 = 3*q. What is the remainder when 6 is divided by n? 2 Suppose -63 = -5*g - 13. What is the remainder when 57 is divided by g? 7 Let g be -3 + 2/1*-1. Let f = -1 - g. Suppose -78 = -f*m + 6. Calculate the remainder when m is divided by 11. 10 Let j = -11 - -57. What is the remainder when 182 is divided by j? 44 Suppose 4*k = 7 + 25. Suppose 0 = -0*t + 2*t - k. Let n = 4 + t. Calculate the remainder when 15 is divided by n. 7 Let g be (3 + -57 - -3)*-1. Let w = g + -8. Calculate the remainder when w is divided by 11. 10 Let c(k) = 2*k**2 + 3*k - 3. Let i = -3 + 0. Let d be c(i). Let r(j) = j + 4. Calculate the remainder when 19 is divided by r(d). 9 Let t(h) be the second derivative of h**3/6 - 5*h**2/2 - h. What is the remainder when t(7) is divided by 2? 0 Suppose 104*c = 100*c + 24. Calculate the remainder when 14 is divided by c. 2 Suppose -p + 42 = 5*r, 2*p - 5*r + 0*r = 9. What is the remainder when 50 is divided by p? 16 Suppose -5*y - 8*y + 182 = 0. Suppose -5*i + 17 = -a, 23 = 4*i + i + a. Calculate the remainder when y is divided by i. 2 Suppose 0*y + 2*y - 14 = 0. Calculate the remainder when y is divided by 3. 1 Let k be (4/6)/(2/12). Suppose 3*q + 51 = n, -k = -4*q + 5*q. Calculate the remainder when n is divided by 10. 9 Let t = -6 + 4. What is the remainder when 15 is divided by (-36)/10*5/t? 6 What is the remainder when (-13 - -109) + (1 - 0) + -2 is divided by 14? 11 Let i(n) = -2*n + 3. Let p(q) = -q + 1. Let z(k) = i(k) - 4*p(k). Suppose -y - 12 = -7*y. What is the remainder when 8 is divided by z(y)? 2 Suppose 137 + 34 = 3*k. What is the remainder when k is divided by 20? 17 Let r(a) = -a**2 - 17*a + 16. What is the remainder when 45 is divided by r(-17)? 13 Suppose 2*p + 1 + 1 = 2*b, 3*b - 2 = 4*p. Let f(v) = 3*v**2 - 9*v + 1. Calculate the remainder when p is divided by f(3). 0 Calculate the remainder when 51 is divided by (28/12 - 2)*54. 15 Calculate the remainder when 274/10 + 4/(-10) is divided by 10. 7 Suppose 0 = 2*a - 0*a - 3*z - 48, -12 = 3*z. What is the remainder when 546/27 - 4/a is divided by 11? 9 Suppose 3*y + 30 = x, 5*x + 6*y - 99 = 4*y. Suppose 145 = 3*i - 41. What is the remainder when i is divided by x? 20 What is the remainder when ((-3)/(-2) - 3)/(4/(-200)) is divided by 11? 9 Let m be -5 + (-3)/(-1) - -8. Calculate the remainder when (9/m)/(3/68) is divided by 12. 10 Suppose -y = -0*y. Let c(l) = -l**2 + 11. What is the remainder when 32 is divided by c(y)? 10 Let k(t) be the third derivative of t**4/3 - t**3/6 + 3*t**2. What is the remainder when k(2) is divided by 8? 7 Let a = 60 + -40. Suppose 28 = 2*c + 5*p - 15, p + 13 = 2*c. Suppose -1 - c = -5*x, -4*n - 3*x + 50 = 0. What is the remainder when a is divided by n? 9 Let v(z
{ "pile_set_name": "DM Mathematics" }
What is the difference between 0.194 and 0.5? 0.306 What is -24.5 plus -0.05? -24.55 Put together -0.31399 and -0.009. -0.32299 What is the difference between 358 and -22? 380 What is -870.16 plus -0.055? -870.215 Put together -0.4543 and 0.0904. -0.3639 Calculate 0.22 - -0.002. 0.222 Subtract 1 from 12229. 12228 -3399+20 -3379 Add -0.09 and 2022.94. 2022.85 0.2+0.2412996 0.4412996 0.1+-0.022 0.078 Total of -232 and 1157. 925 What is -1.59931 less than -6? -4.40069 What is 0.0439 less than 560? 559.9561 Add together 0 and 350. 350 Calculate -0.2 - 390. -390.2 What is -1.8 + 1.46? -0.34 What is 217.24 plus -3? 214.24 Sum -18 and 2467. 2449 What is 3948 less than 0.1022? -3947.8978 Subtract -1.3 from -32.0865. -30.7865 0.16+-2.0484 -1.8884 Subtract 7453 from 0.0357. -7452.9643 Subtract 836 from 17. -819 Calculate 3560161 - -3. 3560164 What is -0.2 - -12.5239? 12.3239 Calculate -39.952 + 0.07. -39.882 Subtract -2.7 from -4323.2. -4320.5 19981+4 19985 What is -2 plus -93.93? -95.93 Calculate -2.77 + 5.73. 2.96 What is the difference between -949 and 1? 950 Work out 0.3 - 63.1. -62.8 -0.5 + -2475 -2475.5 Calculate -38265 - 0. -38265 Put together -2119 and -0.5. -2119.5 Work out 3508 + -0.05. 3507.95 Calculate -771 + 0.03. -770.97 Put together -0.3 and 151. 150.7 13493.8 + -1 13492.8 Calculate -176 - 0.7. -176.7 What is -1730903 minus -2? -1730901 218 - -0.3 218.3 -39981 + -6 -39987 13+-953 -940 What is the difference between 386.9 and -2.22? 389.12 Subtract 75.93 from 0.1. -75.83 Calculate -3.25 - -30888. 30884.75 3111+-0.8 3110.2 What is -28832 take away -0.044? -28831.956 What is 0.0761 - 2? -1.9239 What is -0.19 take away -3.2932? 3.1032 Total of -113 and -6.17. -119.17 Add -694 and 50. -644 1379+-3 1376 What is 648 less than 506.9? -141.1 What is -1632 take away 4? -1636 35+-20332 -20297 3 + -1493.8 -1490.8 Subtract -16 from -38231. -38215 What is 35724 less than -6? -35730 What is -13.9 plus -2.4? -16.3 -4 + 154659 154655 What is -0.02 minus -226? 225.98 -4149 - 189 -4338 What is the distance between -0.4 and 127061? 127061.4 What is -0.454 plus -4.26? -4.714 What is -3.6 - 23.696? -27.296 What is 982 less than -0.03? -982.03 Total of -9.16 and 0.3. -8.86 Add together -0.201 and 6. 5.799 Subtract 4 from -701.9. -705.9 Calculate -21 + 57.9. 36.9 What is 872 plus 3? 875 -0.17 + -913 -913.17 Subtract 7602 from 77. -7525 What is 0.1 - 98465? -98464.9 Calculate -1.0001 + -0.04. -1.0401 What is 15 plus 11264? 11279 What is 11.8 - 247? -235.2 Sum -346549 and 0.3. -346548.7 -3777 - -19 -3758 What is 31.409 minus -47? 78.409 -103308 + -1 -103309 What is -497.5 - 0? -497.5 What is the difference between 28101.22 and 0.2? 28101.02 0.1+0.07969 0.17969 What is 1179 plus 2.9? 1181.9 Work out 77.22 + 0.781. 78.001 Total of -0.07226 and -2. -2.07226 What is the distance between 0.8 and 314? 313.2 What is the distance between 0.2 and 79? 78.8 -1.92+-1156 -1157.92 What is the distance between -0.0722 and -0.0888? 0.0166 What is -393057 take away -12? -393045 What is 0.4 take away 994? -993.6 1.6526+5 6.6526 Add -0.03 and 154364. 154363.97 7.9 - 560 -552.1 Add together -0.5 and 0.02617. -0.47383 What is the distance between -440.1 and -0.31? 439.79 Calculate -0.5 + -105.3528. -105.8528 What is -745 minus -0.3? -744.7 Sum 603 and 8. 611 -2350 - -1 -2349 What is the difference between 0.2 and -14? 14.2 -1110.7 + -1 -1111.7 6483 + 24 6507 Work out 0.3 - 329. -328.7 Add 118716 and -0.3. 118715.7 Put together 0.1 and -0.2408. -0.1408 Add together 0.011 and -1715. -1714.989 Sum -42641 and 1. -42640 217.42 + -2.72 214.7 What is the distance between 0.219 and 2.2? 1.981 Add together -48956 and 34. -48922 What is -41619 - -5? -41614 Subtract -2527 from 2. 2529 17564+-6.4 17557.6 Work out 74 + 2.0627. 76.0627 What is 13.24 less than 0.1? -13.14 What is the difference between 129.7 and 3? 126.7 What is 1.2 + 12053? 12054.2 What is 137271.3 plus 0.4? 137271.7 Work out 18.9 - -292. 310.9 Add -0.2197 and -0.13. -0.3497 What is -96.8 less than -0.12? 96.68 Work out -103034 - 2. -103036 Calculate 346 - -5. 351 What is -3.291 - 1.15? -4.441 Add together -21.2 and 29.282. 8.082 What is 1381156 plus -0.1? 1381155.9 What is -1 minus -811? 810 Sum 19037 and -5. 19032 What is 0.2058 plus 3? 3.2058 What is the distance between -2 and 14.3? 16.3 Total of 87 and 0.1. 87.1 What is 53 plus 0.013? 53.013 What is 79 plus -0.215? 78.785 Put together 10 and 172. 182 What is the difference between -992.1 and 5? 997.1 What is the difference between 0.2 and 1.693? 1.493 What is 0.017 plus 0.19? 0.207 -5+185.051 180.051 Sum -0.05 and -264.87. -264.92 What is -0.1 plus 4.198? 4.098 What is 4 minus -11444.1? 11448.1 Subtract -0.04 from 64. 64.04 -480 - -199 -281 What is -0.12 plus 41789? 41788.88 -71908 + -0.4 -71908.4 What is -1002406 - -2? -1002404 Total of 3.25 and -3. 0.25 0.037 - 47.5 -47.463 What is -0.0323 less than -52.8? -52.7677 Calculate 42.5 + 0.4. 42.9 What is 40 less than 1.4? -38.6 Work out 2226529 - -5. 2226534 Put together -8532 and 0.5. -8531.5 What is 70 take away -1.116? 71.116 Calculate 0.099 - 820.2. -820.101 What is 1 - -4347? 4348 What is -10 minus -5.927? -4.073 0.68+0.03 0.71 Total of 425 and -8. 417 Add together 1 and -1079.1. -1078.1 Sum -85.6 and 650.8. 565.2 Subtract -0.3 from -117899.8. -117899.5 Subtract -0.49 from -0.62. -0.13 Put together -0.306 and -1.89. -2.196 Add together 81.1 and -18. 63.1 What is -633 - 3? -636 What is -17523 minus 4? -17527 0.21 + -321541 -321540.79 What is 0.85972 minus 59? -58.14028 -51.28 - 0.134 -51.414 What is -0.3 + 2375? 2374.7 Work out -0.4 + 38.2941. 37.8941 Subtract 0 from 65.7. 65.7 What is -270 less than -5? 265 What is -7234 minus -227? -7007 Calculate -32.2857 - 0.3. -32.5857 Calculate 7484 + 0.2. 7484.2 2780+-0.49 2779.51 What is 0.5 - 10197.09? -10196.59 Work out 0.2766 - 5. -4.7234 16 - 34326 -34310 Calculate -0.1 - 1067041. -1067041.1 What is the difference between -544273 and -0.5? 544272.5 What is 48.6 plus 0.699? 49.299 Work out -3 + -55. -58 591679+-0.03 591678.97 3225+-0.11 3224.89 Put together 628.4 and 5. 633.4 Add -1.84327 and 4. 2.15673 1134+-0.1 1133.9 What is 8 - -461.603? 469.603 Work out 0.03 + 446600. 446600.03 Calculate 8 - 0.0084. 7.9916 What is -211979 less than 11? 211990 What is -0.3 plus -0.635? -0.935 What is -1 plus -294.61? -295.61 Add together -3 and 696. 693 -5+66.8 61.8 -0.112 - 0.94 -1.052 What is 2 plus -823? -821 Add together -5 and 11433. 11428 Work out -0.2 - 29040. -29040.2 Put together 0.29 and -11632. -11631.71 Calculate -142 - -18.21. -123.79 Put together -113 and 380. 267 What is 5 take away 1.170081? 3.829919 0.4 - 116 -115.6 What is the difference between -33.8 and 6337? 6370.8 Put together 8 and -189. -181 What is 6827 less than 4? -6823 What is -4 - 0.0268? -4.0268 Add together -17221.6 and 0.2. -17221.4 -14 - -1084 1070 What is the distance between -0.13 and -223.3? 223.17 Work out -997273 + 1. -997272 Sum -0.4 and -46.3. -46.7 Work out 379 + -32.8. 346.2 Sum 0.1488 and -0.902. -0.7532 Sum 0.4 and -3350. -3349.6 -766156+-0.5 -766156.5 Total of -0.57 and 1555.62. 1555.05 What is 460 + -31.88? 428.12 Work out 273.37 - -0.3. 273.67 Total of -106 and -1468. -1574 Total of 56 and -0.076. 55.924 What is -0.4 take away 29.23? -29.63 What is -242712 plus -23? -242735 What is the distance between -46 and 14868? 14914 Total of 13 and 212. 225 Work out -59829 - -28. -59801 What is -0.443 plus 62? 61.557 Subtract 2.339 from 0.03. -2.309 What is the difference between -0.049306 and -0.1? 0.050694 What is the distance between -0.0023507 and -0.4? 0.3976493 What is -207086 + -0.1? -207086.1 What is the distance between -40 and -44? 4 Calculate -0.07 - -0.82. 0.75 0.213 + -0.019 0.194 What is -4224.84 take away -0.2? -4224.64 -4+-69856 -69860 What is the difference between 141 and -5496? 5637 What is the difference between -0.274 and -0.21? 0.064 Add together 22756 and -1. 22755 What is -3.9735 minus 3.1? -7.0735 Calculate 0.26 - 137.994. -137.734 What is 7489 take away -0.5? 7489.5 Total of 0.3 and -280. -279.7 What is the difference between 0.04 and -33? 33.04 Sum 0.4 and -33.35. -32.95 -0.001 + -0.236 -0.237 Total of -6 and 2940432. 2940426 What is the distance between 2701 and -0.884? 2701.
{ "pile_set_name": "DM Mathematics" }
(37 + (-5 - 1 - 6))? -28 Evaluate (-16 + -1 - (22 + (27 - 52))) + 1. -13 What is -2 + (55 - 45) + 1 + -1 - -2? 10 What is the value of 0 - (5 + -2 + (-11 - -23))? -15 2 - 1 - (5 + 6 + -17 + 23) -16 What is the value of -2 + 0 + (30 - 25) + (1 - -4)? 8 Evaluate (0 - 7) + 94 + -95 + (-11 - 0). -19 What is 1 - (10 - -1) - (80 - 89)? -1 Calculate 8 + 21 + -17 + 1 - -11. 24 Evaluate -155 - -143 - (2 + -29). 15 Evaluate 2 - 6 - (-11 + -3 + 11). -1 What is the value of -9 - (-23 + 8 + 5 - -17)? -16 What is the value of 15 + -39 + 21 + -4? -7 (37 - 1) + 25 + -17 + -4 - 10 30 What is the value of 0 + 7 + (-14 - -2) + -3? -8 -3 + 0 + (9 - (6 - (-9 - 2))) -11 What is -5 + (26 - 31) + -1 + 3 + 12? 4 Calculate (7 + (20 - 9) + -35 - 9) + 0. -26 Evaluate (7 - (-11 + 8)) + -7. 3 What is the value of -11 - (7 + -2 - (-7 - -7 - -6))? -10 (-5 - -8) + 13 - (22 + -32) 26 Evaluate 8 - (-1 - 0) - ((17 - 0) + -35). 27 Evaluate 2 + -1 + -15 + -106 + 109. -11 What is -8 - -13 - (5 + -2 - 17) - 7? 12 What is -7 + -8 + 16 + -13 + -2 - 2? -16 Evaluate 17 + (-23 - -12) - (3 + 7). -4 What is the value of 2 + -24 - (-13 - ((-7 - -6) + -21))? -31 Evaluate 4 + -10 + (-11 - (-10 + 1)). -8 What is (15 - 7 - -6) + 8 + -5? 17 What is -26 - (-40 + 32 + -24)? 6 Calculate -1 - -16 - (-1 - (-3 - -5)) - 3. 15 22 + (-75 - (47 - 65)) -35 What is 7 + -1 + (62 - 69) - (0 - 3)? 2 Calculate -4 + (22 - (24 - 15)). 9 8 - (0 + 8 + (-17 - -11)) 6 Calculate 0 + 5 + 8 + -27. -14 What is the value of -3 + (10 + 6 - 24)? -11 What is the value of 13 - 2 - (-62 - -68)? 5 What is 4 - (4 + -2 + -4) - (634 - 640)? 12 Evaluate (39 - 17) + -2 + -13. 7 Calculate -16 + 0 + -229 + 238. -7 -2 - (-1 - (11 - (19 + 10))) -19 What is (-351 - -345) + 1 + (1 - 1 - 6)? -11 Evaluate 5 + (-10 + 0 + 8 - -2). 5 Calculate 1 + -26 + -2 - -15. -12 (4 - 2) + 1 + -4 + 6 + -12 -7 What is -14 - ((-1 - (-3 - (-12 + 2))) + 19)? -25 What is (-32 - -20 - -14 - (8 - 0)) + 2? -4 Calculate 10 + -17 + -1 + 18. 10 What is the value of -2 - (13 + (-12 - -3))? -6 What is (15 + -20 - 5) + -1 + 6? -5 What is 1 - -6 - (14 - (8 - 5))? -4 Calculate -2 - (-9 + (2 - -4 - 2)) - -1. 4 Evaluate -5 - -1 - (-10 + (-42 - (-38 + 23))). 33 -7 + -3 + 17 + (0 - 7) 0 What is the value of -1 - (20 + -14 + 7) - -2? -12 Calculate -117 + 131 - (27 - -4). -17 Evaluate 333 - 337 - (-13 + 1). 8 What is the value of (4 - (-5 + 18)) + 2 + 14? 7 Calculate 23 - (23 + (-8 - -16)). -8 Calculate 60 + -50 - (16 - -2). -8 What is the value of -4 + -1 + 1 + 407 + -410? -7 Calculate 19 + -15 - -8 - (13 + 9). -10 What is the value of (0 - 6) + (30 - -5 - 15 - 31)? -17 What is the value of 7 + -18 + 8 + -7 + -3 + 3? -10 Evaluate -24 + -25 + 12 - -26. -11 What is the value of -33 + (4 + -4 - -3 - (-33 + 25))? -22 -20 + 7 + 1 + 12 0 -8 + -1 + -3 + -6 + 5 + 4 -9 Calculate 4 - (5 - (3 - (8 - 7))). 1 What is the value of 22 + 0 - ((-15 - 27) + 44)? 20 What is (-9 - -25 - 43) + 8? -19 What is the value of -21 - (21 + -64 + 43)? -21 What is the value of -10 + (1 - 1) + (-9 - 8 - -32)? 5 Calculate (2 - -17) + 2 + 7 + -10. 18 What is the value of -1 + (6 - (-3 + 19) - -6) + -4? -9 What is the value of -62 - (0 - (-36 - -72))? -26 What is -9 + (0 + 8 + -109 + 107 - -24)? 21 Calculate -2 + (-2 - (-9 - (-15 - -6))). -4 Evaluate 0 - (0 + 0 - (5 + (3 - 10))). -2 What is 279 + -285 + (-4 - (2 - 25))? 13 What is (0 - -5) + (-8 + 31 - (-16 - -26))? 18 What is the value of (24 - (14 + 16)) + (-1 - -2 - 4)? -9 -29 + (6 - -5) - -11 -7 What is the value of (-8 - -4) + -5 - (-19 - -7)? 3 What is the value of 19 + -35 - -18 - -11? 13 What is -3 + (-1 - -2) + (4 + -1 - -5)? 6 What is -3 + 7 + -9 + 15 + -4 - -9? 15 Evaluate -14 - (20 - (19 - -3)). -12 Evaluate -2 - (-30 + 25 - (-1 - -3)). 5 What is -3 - (-8 + -34) - (2 - -7 - 1)? 31 What is the value of 3 + 1 - (130 - 137)? 11 Calculate (-24 - (-45 + -16)) + -70. -33 Evaluate 16 - (10 - (-15 - -13)). 4 Evaluate (3 - (13 + -5)) + (-1 - (6 - 6)). -6 What is (-10 + -11 - (8 + -12)) + -5? -22 What is 0 - 13 - (-32 - -13)? 6 What is 3 + -1 + 12 + 31 + -28? 17 (2 + 1 - 1) + -1118 + 1103 -13 Evaluate -8 + 19 - (-7 + 17 - -8). -7 What is the value of 4 - (12 - 1 - (48 - 52))? -11 What is the value of (13 - -35) + -17 - (13 + 0)? 18 What is the value of -18 + (80 - 32 - 5)? 25 Evaluate 2 + 11 + -15 + 1. -1 Evaluate 8 - (-1 - (2 - -9 - 29)). -9 -4 + (-86 - -82 - (0 + -1)) -7 Evaluate 5 - ((-5 - -3) + (-7 - -13 - 2)). 3 0 - (-17 - (-2 + 0)) - (476 - 484) 23 (1 - 0) + (-86 - -84) + -3 -4 Evaluate 0 + -7 - (-41 + 33) - (-2 + -3). 6 Evaluate -2 + -8 + (8 - (-6 + 9) - -1). -4 Calculate 0 + 0 + 0 - (34 + 16 + -39). -11 What is -1 + -3 + 14 - (-10 + 26 - 22)? 16 -24 + (13 - (-4 - (-2 + -5))) -14 What is 6 + -11 + 2 + -12 + 12? -3 What is 11 + 11 + -12 + (5 + 2 - 3)? 14 What is -8 - (5 + -16) - 17? -14 (24 - (1 - -1)) + (384 - 394) 12 What is -4 + 2 + -3 - -2 - 5? -8 What is the value of 11 - (23 + -13) - (2 + -15)? 14 What is the value of 0 + 0 + -1 + (30 - 46 - -22)? 5 What is (-12 - -1 - -3) + -1 + -2 + -4? -15 What is the value of -2 + 5 + -6 + 6 - (50 + -20)? -27 Calculate -7 + 16 + -1 + -21. -13 Calculate 419 + -409 + -23 + 0. -13 Calculate -19 + (-5 - -13) - (8 - 30) - -5. 16 What is -6 + -2 - (-13 + 5) - 2? -2 Evaluate 11 - (-17 - (-11 + -18)). -1 What is the value of (1 - (6 - 2) - -1) + -2 + 7? 3 What is (-94 + 83 - (3 - 3 - 1)) + 27? 17 2 + 4 - (254 + -236) -12 What is the value of -3 + -2 - -12 - 10 - -27? 24 What is the value of (5 - 13) + (-27 - -38)? 3 Evaluate (-2 - 6) + (-4 - (0 + -3)). -9 What is 14 - (2 - -31 - 33)? 14 What is 9 - 9 - (-6 + -6) - -1? 13 (-3 + 5 + 2 - 13) + (4 - 1) -6 Calculate -1 + ((-2 - -8) + -12 - -24). 17 What is 6 - ((8 - 14) + 1 + 3) - -20? 28 Calculate 25 - (15 + 27) - (-31 + -1). 15 What is the value of -23 + 51 + -21 - (25 - 1)? -17 What is the value of 6 + (5 - 13 - -8) + -21? -15 What is (24 - (26 + 10)) + 6? -6 (-4 - -2) + -3 + 3 + (-48 - -43) -7 What is the value of (5 - 0) + (-11 - (2 + -5 - -7))? -10 Calculate -5 + 5 + (-6 - -6) - (6 + -5). -1 Evaluate 12 + (-15 - -2) + -11. -12 What is 20 + -27 + 14 + -3? 4 Calculate (44 - 55 - (2 + -37)) + -9. 15 Calculate (0 - 8) + (20 - 9 - 9). -6 What is (9 - (63 - 22)) + 48? 16 Calculate 4 + (-3 - 4) - (128 - 142). 11 (11 - 16 - -19) + -9 - 26 -21 Evaluate -5 + 1 + 3 - (11 - (-14 - -14)). -12 What is the value of 13 + -33 + 26 + (6 - 0)? 12 32 + -22 - (-7 + (2 - 4)) 19 -6 - (-5 + 18 + 0) -19 What is the value of (-22 - -38) + 5 + -38? -17 (-12 - 1) + (-124 - -55 - -60) -22 Evaluate -4 - ((2 - -2) + (-4 - (-22 - -7))). -19 What is the value of 11 - (-13 + -8 + 4 - -5)? 23 Calculate 30 + -20 + -5 + 1 - (-2 + 3). 5 What is -4 + (-8 - -3 - -12) - -5? 8 What is -4 + (-10 - -20 - -27)? 33 Calculate -13 + 16 + 1 - 15. -11 Calculate 11 + (-11 + 1 - (-42 - -39)). 4 What is the value of 9 - (17 + (-8 - (-18 + 9)))? -9 Evaluate -1 - 1 - 0 - (-165 + 297 + -132). -2 Evaluate 42 - 11 - (-22 - -49). 4 What is -3 - (-2 + 2) - (0 + 3)? -6 What is -1 + 8 - (53 + -49) - -2 - -2? 7 Evaluate 33 + 1 + (-26 + 12 + 19 - 7). 32 (26 - 18) + 11 + -20 -1 What is the value of 3 + (22 - 10) - 15? 0 -16 - ((80 - 78) + -6 + 1) -13 What is -5 + 15 + -49 - -19 - 9? -29 Evaluate -3 + 7 + -3 + (12 - (12 + 5)). -4 Evaluate (-1 - 4) + (9 - -24). 28 4 - 9 - (-40 - (-14 + 0)) 21 What is -2 + (8 - 2) + -4? 0 6 + -20 + 8 + -2 + (-2 - 0) -10 What is the value of (-15 - -5) + 21 - 21? -10 Evaluate 15 - (-25 + (54 - 2)). -12 What is -8 - (-6 + -8) - ((0 - 0) + 6)? 0 Evaluate (-65 - -71) + (3 - 0). 9 (-4 - (5 + -7)) + 3 + 7 8 What is 1 + 25 + 1060 + -1063? 23 Calculate 5 + (4 - 14) + 6 + (-14 - -1). -12 Calculate -13 - (4 - (16 - (-1 - -4))) - 21. -25 Calculate -1 + (13 + -8 + -11 - 3) + 18. 8 Evaluate 8 - 33 - -14 - -20. 9 -24 - -26 - (9 - 5 - (-10 - 1)) -13 What is 16 + 7 + -22 + 3 - 25? -21 Evaluate (-1 + 6 - (3 - 2)) + 69 + -74. -1 What is the value of (9 - -12 - -9) + (-2 - -6) + -12? 22 Calculate 11 + -5 + -7 + 1. 0 What is the value of (29 - 26) + (6 - (-4 + 2))? 11 What is the value of (-2 - 3) + 5 - (10 + -15 - -9)? -4 What is -39 + (-32 - (-10 - 41))? -20 Evaluate (0 - -1) + (-10 - (-2 - 16)). 9 Evaluate -2713 + 2706 + (1 - -1 - -44). 39 -16 + (-10 - -24) - -9 7 What is 14 + (1 - 22) + 14 + 0 + -1? 6 What is
{ "pile_set_name": "DM Mathematics" }
of m and y? 126 Calculate the common denominator of 369/(-1518) + ((-230)/(-1035))/(44/18) and 17/278. 6394 Calculate the common denominator of 3/(3/7) + (0 - 100/64) and -95/66. 528 Suppose 3 = -3*x, -5*w + 3*x + 1041 = -1052. Let y = -8773/21 + w. What is the common denominator of y and -40/93? 651 Suppose 13*d - 7*d = 24. Suppose -d*v + 46 + 2 = 0. Let t(r) = 6*r - 4. Calculate the lowest common multiple of v and t(4). 60 What is the lowest common multiple of 45 and (180/54)/(5/1620)? 1080 Let m = 42275 + -15219. Let w = m - 487127/18. What is the common denominator of w and -32/5? 90 Let b = -60 - 126. What is the common denominator of (-33)/(-2)*(-2)/102 and 3 + -2*b/(-120)? 170 Let g(z) = z**2 + 13*z - 4. Let q be ((-12)/(15/(-6) - -4))/(-2). Suppose 3*r = q - 46. Calculate the lowest common multiple of 3 and g(r). 30 Suppose -9*r + 1640 = -1492. Calculate the least common multiple of 24 and r. 696 Let f(z) = z**3 + 14*z**2 - 14*z + 55. Let l be f(-15). Let y = 61 - l. Calculate the lowest common multiple of 3 and y. 21 Let w = 18593/13762 - -6/983. What is the common denominator of -125/132 and w? 924 Let c be 5/((-10)/(-6)) - -4. Suppose 2*d + 3*q + 8 = 0, -c*d + 2 = -2*d + 2*q. Suppose -40 = -7*n + 3*n. What is the least common multiple of n and d? 10 Let k = 5 + 4. Suppose -5*h = -k*h + 48. Let o(p) = -8*p - 56. What is the least common multiple of o(-8) and h? 24 Calculate the smallest common multiple of (-2)/(-5) - 103*2*8/(-80) and 183. 1281 Find the common denominator of 5390/(-700)*(-2)/(-14) and (-5130)/(-17160) - (-1 + 18/22). 260 Let w = -1618556455/3024711 - 1/336079. Let a = w + 534. Let u = -4783/5 + 960. What is the common denominator of a and u? 45 Let i be (-1 - (-5)/3)*(-15 - 57). Let h = i + 55. What is the smallest common multiple of h and (-1 - -3)/2 + 6? 7 Let b be (2/9)/((-1)/1965). Let p = 433 + b. What is the common denominator of -29/12 and p? 12 Calculate the common denominator of 77/4 and (-155)/6944*9/(-15). 224 Let o = 2935383/98 - 29952. Find the common denominator of ((-6)/(-18))/((-20)/54) and o. 490 Suppose 3*u + 5855 - 479 = 195*u. What is the smallest common multiple of 1421 and u? 5684 Let c(g) = 45*g + 253. Let t(x) = -21*x - 5. Let b be t(0). Calculate the smallest common multiple of 5 and c(b). 140 Let r = -519971/26 - -20002. Find the common denominator of 3 + (4 - (-292)/(-32)) and r. 104 Suppose 0 = 3*v - 5*k - 95, 0 = -2*v - 3*k - k + 78. Calculate the smallest common multiple of 25 and v/20 + -1 - (-385)/20. 100 Let s = 246 + -246. Suppose -2*k - h + 41 = s, 3*k + h - 33 = 29. Calculate the least common multiple of k and ((-12)/10)/((-2)/30). 126 Calculate the least common multiple of 2108 and -4*28/(-40)*1210/847. 2108 Find the common denominator of 43/1221 and 584/30*598/(-973544). 6105 Let v = 6617269945 - 114922127082907/17367. Let y = -21/1654 + v. Find the common denominator of y and -33/20. 420 Let g be ((-5)/(15/66))/(12/34698). Let x = g + 3435245/54. What is the common denominator of x and -29/12? 108 Let y be -7 - (-186)/(7 + -1). What is the smallest common multiple of ((64/y)/(-2))/((-2)/15) and 304? 1520 Let n = -8561/2 - -4279. Calculate the common denominator of n and 93/290. 290 Let p(l) = l**3 - 4*l**2 + 3*l. Suppose -441 = -441*o - 1060*o + 17571. Calculate the least common multiple of o and p(6). 180 Let o = 1529 - 15271/10. What is the common denominator of 113/90 and o? 90 Let s(j) = -6*j**3 - 68*j**2 + 19*j - 12. Calculate the smallest common multiple of s(-12) and 160. 3360 Let q = -4516 + 4733. What is the smallest common multiple of 140 and q? 4340 Let o be 16/3*(-3)/(-2). Calculate the common denominator of 30/(-25) - 3751/(-4730) - 0 and (-1)/2*94/o. 344 Suppose -7*d + 45 = 3. Let k be (1 - 1) + 30/d. Suppose -4*h - 3 = -k*h. What is the lowest common multiple of h and 6? 6 Let g = 382 - 362. What is the lowest common multiple of ((-12)/(-4) - 33)*(-8)/16 and g? 60 What is the common denominator of (-790)/105*42/(-280) and 1 + (-1)/1 - 456/(-392)? 490 Let b = 581172 + -4649311/8. Let x = -5892 + 288723/49. Calculate the common denominator of b and x. 392 Let l = 578 + -490. Suppose 0 = 95*f - l*f - 28. Calculate the smallest common multiple of f and 300. 300 Let v(w) = 18*w**2. Suppose -195*m + 193*m = -2212. Suppose 334 = 60*d - m. What is the smallest common multiple of v(1) and d? 72 Calculate the common denominator of 19/585 and (27/(-24) - -1) + 13315/(-16200) + 1. 10530 What is the lowest common multiple of 17*(-6)/(-1122) - (-27190)/22 and 15? 6180 Suppose 24*f - 4317 = -15837. What is the common denominator of -5 - 8/(f/363) and -29/2? 20 Let b = -30609479/450 - -68021. What is the common denominator of b and -117/80? 3600 Let v = 9 - 4. Let q = v + -1. Let b = -1319 - -1333. What is the least common multiple of b and q? 28 Let u = -478/35 + 4393/560. Find the common denominator of -71/18 and u. 144 Let u(h) = -73*h**2 + 17*h + 57. Let z be u(-3). Let p = 695 + z. Calculate the least common multiple of p and 40. 440 Let z = 545 + -537. Calculate the smallest common multiple of z and 23/5 + 6*(-8)/80. 8 Let p = 1037 - 699. Let h = -336 + p. What is the lowest common multiple of h and 68? 68 Let w be (-15)/(-10)*(-60)/(-12950). Let s = w - -39857/41440. What is the common denominator of (-1551)/90 + (-2)/(-5) and s? 96 Let x(g) = -15*g + 150. Let z be x(8). Suppose 330 + 120 = z*q. What is the smallest common multiple of 3 and q? 15 Find the common denominator of -38/241 and 957448/(-73264) + 39/3. 482 Let g = -11921 - -11936. What is the smallest common multiple of g and 321? 1605 Calculate the common denominator of (-1*77)/(-3 - 311) and (-4)/((-12)/21) + 64/(-1152). 2826 Let b(l) = 2*l - 2. Let r be b(5). Suppose r*t - 35 = -11. Suppose p + t = 4*p. What is the smallest common multiple of 10 and p? 10 Let v be 28575/170802 - 3/18. Let r = -135981/44282 - v. Calculate the common denominator of r and 127/36. 252 Suppose m - 577 = 223. Suppose -m = -4*d - j - 2*j, -3*d - 5*j + 600 = 0. Suppose -16*z + 6*z + d = 0. Calculate the lowest common multiple of 12 and z. 60 Let z(b) = b**3 - 7*b**2 - 63*b - 7. Let s(v) = 23*v**2 + 228*v - 8. Let p be s(-10). What is the common denominator of 1 - ((-92)/(-34) + 0) and z(p)? 17 Let c(x) = 8*x**2 + 2*x + 1. Suppose -265 = 1040*k - 1045*k - 5*t, 0 = 4*t - 24. Calculate the least common multiple of k and c(-1). 329 Let q = -6133/8475 - -20/113. What is the common denominator of q and 14/9? 225 Let s = -461553/137225 - 2/12475. Let y be (-5 + (-141)/(-30))*(-18140)/(-105). Let n = 353/7 + y. Find the common denominator of s and n. 55 Let r = 57 + -2. Suppose -95 = 3*x + r. Find the common denominator of 8/11 and x/(4/(-8)*-2). 11 Let m = -1978 + 1979. What is the smallest common multiple of 83 and m? 83 Let o(n) = -n**3 + 7*n + 7. Suppose s - 4*i + i - 9 = 0, 4*i = 3*s - 2. What is the least common multiple of o(-3) and (-20)/s*9/6? 65 Let z = 7125 + -128185/18. What is the common denominator of z and (-4)/14 - (-431)/(-84)? 36 Let n = -21712 + 21732. Calculate the lowest common multiple of n and 27570. 55140 Let m be 1/(-2) + (-2)/(-4). Suppose 0 = -24*q + q + 138. Suppose m + 6 = q*n. What is the smallest common multiple of n and 6? 6 Suppose g + 4*q + 6 = 26, 2*q + 26 = 4*g. Suppose -g*t + 63 = -129. Suppose -6*v = 2*v - t. Calculate the smallest common multiple of 36 and v. 36 Let u = -32/341 + -16197/5456. Find the common denominator of (133 + -2)*63/1134 and u. 144 Let u be ((-6)/4)/(1/(-2)). Let l be ((-54)/15)/((-3)/(-290)). What is the common denominator of 6/5 and ((-1)/u)/(l/774)? 290 Let c = 116 - 110. Find the common denominator of c - (-1)/(49/(-329)) and 59/195. 1365 Suppose 0 = 4*j - 4*j + 5*j. Calculate the common denominator of 85/36 and (22/(-27) - j)*111/148. 36 Let w be (8 - 75) + (2 - 0). Calculate the common denominator of ((-142)/7)/((-44)/77) and (41/(-35))/(26/w). 14 Let m be -1 + 7/(-8)*(-21594)/(-4). Let n = m + 4729. What is the common denominator of ((-4)/(-14))/(28/609) and n? 112 Let m(f) = f**3 - 3*f**2 + 21*f + 25. What is the lowest common multiple of 342 and m(8)? 1026 Suppose -l = -4*y - 34, l - 5*y - 42 = -3. Let c be 21248/(-112) + (-4)/l. What is the common denominator of 1*-4
{ "pile_set_name": "DM Mathematics" }
Calculate w(-3). 0 Let h(b) = 3*b**2 - 2*b - 2. Let g = -22 + 20. Let r be 0/g + 6/3. Calculate h(r). 6 Let v(i) = -2*i**3 - 2*i**2 + 3*i + 3. Let p(r) = -3*r + 34. Let d be p(12). Give v(d). 5 Let j(u) = 9*u**2 - u. Let r = 7 + -6. What is j(r)? 8 Let a(c) = 3*c**2 + 3*c + 1. Let r be (-1 + (6 - 3))/(-1). Let m be r/(-4) - (-28)/8. Suppose 2 - m = l. Give a(l). 7 Let a(c) = -3*c + 59. Let x be a(17). Let v(p) = p**3 - 9*p**2 + 8*p + 1. What is v(x)? 1 Let h(p) be the third derivative of 0 + 1/24*p**4 + 5*p**2 + 0*p + 1/120*p**5 + 0*p**3 + 1/144*p**6. Let a(b) be the second derivative of h(b). What is a(1)? 6 Let z = -47 - -44. Let u(i) be the first derivative of i**4/4 + 4*i**3/3 + 3*i**2/2 - 2*i - 1. What is u(z)? -2 Let f(k) = -2*k + 3. Let i(a) be the second derivative of 0 - 1/2*a**3 + 5/2*a**2 - 2*a. Let w(p) = -8*f(p) + 5*i(p). What is w(-2)? -1 Suppose -2*t - 1 = -l + 4, -5*l + 4*t = -37. Let f(m) = m**2 - 10*m + 10. Let d be f(l). Let i = d - 4. Let v(p) = 2*p - 3. What is v(i)? -9 Let x(y) = -y**2 - 9*y + 10. Suppose -2*t - 7 = h, 3*h - 21 = 6*h - 2*t. What is x(h)? 24 Let u be ((-1)/(-3))/(2/(-12)). Let h(d) = -3*d. Determine h(u). 6 Let t(l) = 7 + 3*l + 13 - 16. Suppose -q + 1 = -0*q. Let m(j) = -4*j**2 - 2*j + 1. Let i be m(q). Give t(i). -11 Let f(r) = r - 2 + 4 - 2 + 1. Let m be ((-9)/6)/((-2)/(-4)). Determine f(m). -2 Let c(p) = -10*p + 11*p + 0*p. Suppose -k = -w + 2*w, 0 = 2*w + k + 2. Give c(w). -2 Let q(g) = g + 6. Let u = 25 - 10. Suppose 45 - u = -5*y. Calculate q(y). 0 Let u(t) = -t**2 + 5*t - 10. Let d be u(4). Let l(c) = -c**3 - 7*c**2 - 8*c - 8. Calculate l(d). 4 Let c(z) = 6 + 0*z + 0*z + 0*z + z. Give c(-5). 1 Let d(x) = x**2 - 12*x + 6. Suppose 5*f = 2*w - 25, w + 8*f = 3*f + 5. Calculate d(w). -14 Suppose 4 = g + 4*l + 1, 4*g + 4*l = 12. Suppose -4*t + 1 = -g. Let c(z) = 0*z**2 + 3*z**2 + 0*z**2 + 1. Calculate c(t). 4 Suppose 3 = -3*p, r + 13 = 3*r - p. Let f(d) = 2*d**2 - r*d + 2 - 2*d**2 + d**2 + 4. Calculate f(5). 1 Let j(s) = -4*s - 4. Let y(g) = -g**2 + 3*g + 4. Let n be y(3). Suppose 0*r + 3*r + h + 7 = 0, 2*r + 5*h = n. Give j(r). 8 Let i = 65 - 69. Let u(g) = g**2 + 7*g + 5. What is u(i)? -7 Let j(o) = 7*o - 3. Let u(r) = 4*r - 2. Let l(x) = -3*j(x) + 5*u(x). Suppose 0 = 18*m - 13*m + 30. Determine l(m). 5 Let i(f) = -f**2 + 9*f + 8. Let n(c) = 2*c + 6. Let q be n(1). Give i(q). 16 Let n(u) = u**3 - 6*u + 172 - 172 + 4*u**2. Let r = -14 - -9. What is n(r)? 5 Let k = 3 - -1. Let a(y) = 5 + 5*y + 0 - 3 - k*y. Determine a(3). 5 Let z be ((-4)/(-6))/((-6)/(-27)). Suppose -u - 12 = z*u. Let b(m) = -m - 4. Give b(u). -1 Let y(i) = -i**2 - 4*i. Let m(b) = b**3 - 4*b**2 + b. Let f be m(4). Suppose -f*n = 9 + 3. Calculate y(n). 3 Let z(d) = d**3 - 5*d**2 - 12*d + 4. Let p(r) = r**3 - 4*r**2 - 13*r + 5. Let w(n) = 3*p(n) - 4*z(n). Calculate w(9). -1 Let g be (1 - 0)*(0 + 1). Let a(y) = g + y**2 - 2 - 1 + 5*y. Suppose -3*n + 25 = -2*d, -2*d + n - 8 - 7 = 0. Determine a(d). -2 Let h(n) = -8*n - 1. Let w be h(-1). Let k(c) = c**2 - 8*c + 10. Calculate k(w). 3 Let v(x) be the second derivative of 13*x**4/12 - x**3/3 - 2*x**2 - x. Let d(h) = 38*h**2 - 6*h - 11. Let p(f) = 3*d(f) - 8*v(f). Calculate p(-1). 11 Let p(t) = -3*t**3 + 2*t**2 - 1. Suppose 5*y + 1 + 6 = 3*r, r + 2*y = -5. Let z be p(r). Let m(k) = -k + 3. Calculate m(z). -1 Let t(w) = -w**3 - 4*w**2 - 4*w - 2. Let z be (-8)/(0 + 0 + -1). Let f be (z/6)/((-1)/(-3)). Suppose -2*p = 3*k - 2, 2*k - 16 = -p - f*p. What is t(k)? -2 Let r(c) = -8*c. Suppose -9 = 3*u - f - 2, 5*u = -4*f - 6. Calculate r(u). 16 Let q be ((-3)/(1*-1))/(-1). Let a(d) be the first derivative of -3/2*d**2 - 1 - d. What is a(q)? 8 Suppose -11 = 3*t - p, 0*p + 35 = -3*t - 5*p. Let m = 15 + -9. Let l(o) = -5 + m + 6 - 5*o - o**2. Give l(t). 7 Let q(j) = -7*j**3 + 2*j**2 + j. Let w(r) = -r**3 - 8*r**2 + 9*r - 1. Let y be w(-9). What is q(y)? 8 Let l be 1/(3/(-3 + 24)). Let z = -11 + l. Let n(q) = q**3 + 4*q**2 + 1. Calculate n(z). 1 Suppose -8*u = -4*u - 16. Suppose u*a - a = 3. Let y(c) = 9*c**2 - 2*c + 1. Determine y(a). 8 Let t(h) = h**2. Let x(b) = -7*b**2 - 3*b + 3. Let m(z) = -6*t(z) - x(z). Give m(-3). -3 Let a(g) = -2*g + 1. Let m = 8 - 7. Determine a(m). -1 Suppose -4*b + 7*b + 7 = -2*r, -4*b = -5*r - 6. Let v(n) = 3 + 3*n**2 - 4*n**2 - 4. Determine v(r). -5 Let g(s) = -s**2 - 5*s - 1. Let h(n) = 3*n + 3. Let w(q) = -q - 1. Let a(i) = h(i) + 4*w(i). Let x be ((-1)/(-3))/((-2)/(-24)). Let r be a(x). What is g(r)? -1 Suppose z - 1 = 1. Let b(f) = 7 - 6 + 7 - 3*f + z*f. Calculate b(6). 2 Let b = -7 - -6. Let s(g) = -g**3 + g. Calculate s(b). 0 Let i(d) = -d**2 - d + 5. Let j be (-4)/(-56)*-4 + (-33)/7. Calculate i(j). -15 Let r(b) = -5*b - 2. Let l(w) = -4*w - 1. Suppose 2*f - 4 = f. Let d(p) = f*l(p) - 3*r(p). Determine d(-2). 4 Let r be (-11)/(-6) + 6/36. Let u(b) = -11 + b**r - 4*b - 11 + 16. Give u(5). -1 Let v be (-1 - -4) + (-21 - -20). Let h(o) be the first derivative of -o + o**v + 1/3*o**3 - 3. Determine h(-3). 2 Suppose -2 = -4*g + 2*d, -2*g + 0*g - 5 = -3*d. Let v(s) = 0*s**2 - 3*s**2 - 1 + 0*s**2 + s**g - 4*s. Calculate v(-3). -7 Let t be 4*(-9)/(-24)*2. Let y be (-3 + 2)/((-1)/t). Let l(q) = q - 1. Calculate l(y). 2 Let o(v) be the first derivative of -2*v + 3*v - 2*v**2 + 8 - 5 + 0*v**2. What is o(2)? -7 Let d be (-16)/(-10) + (-4)/(-10). Suppose -q + 2 = -d*q. Let u(h) = h**3 + 3*h**2 + 3*h. Let z be u(q). Let p(y) = -4*y - 1. Give p(z). 7 Let l(w) = w**3 + 3*w**2 - 4*w - 3. Suppose 0 = 5*r - 5*g - 5, r = -4*r + 4*g. What is l(r)? -3 Let c(b) be the third derivative of b**4/8 + 2*b**3/3 - 25*b**2. Give c(-6). -14 Let h = -4 - -4. Let x be 1 - 3 - (-2 - h). Let k = 0 - x. Let n(y) = -y**3 - y**2 - y + 2. What is n(k)? 2 Let g(x) = -x**2 + x + 9. Let f(m) = 1. Let n(l) = -5*f(l) + g(l). Determine n(-3). -8 Let b(v) = 11*v**3 + 14*v**2 - 2*v - 11. Let c(m) = 5*m**3 + 7*m**2 - m - 5. Let x(w) = 6*b(w) - 13*c(w). What is x(7)? 6 Suppose k + 1 = -2*g, 4*g + 4*k = -g - 4. Let o(r) = r**2 - r. What is o(g)? 0 Let s be 1 + -2 - (-9 - -10). Let l(a) = -a**2 - 3*a - 1. What is l(s)? 1 Suppose a - 3 = -1. Let h(m) = -1 + m**2 + 7 + 0*m**a + 4*m. Let i(g) = -g**2 + 3*g - 6. Let z be i(2). Give h(z). 6 Let s(l) = l - 5. Suppose 38 - 14 = 4*n. Let f be n/(-9) - (-52)/(-12). Calculate s(f). -10 Let c(l) = 73*l**3 + 2 - 33*l**3 - 41*l**3 + 6*l**2. Calculate c(6). 2 Suppose -19 = -3*x + 146. Let u be (-4)/(-6) + x/(-15). Let v(m) = m**2 + 3*m + 2. Determine v(u). 2 Let l(c) be the first derivative of -3*c + 1 + 0*c + 4*c - c**2. Calculate l(2). -3 Let s(t) = -2*t**2 - 4*t - 1. Let b be 14*2/(-8) - (-1)/2. Calculate s(b). -7 Suppose -5*o + 4*o + 11 = 0. Let b(d) = d - 12. Let t be b(o). Let m(w) = 5*w**2 - w. Give m(t). 6 Let j(x) = x - 8. Suppose -4*h = 4*k - 8, 0 = -3*h + 2*k - 4*k + 8. Let w be j(h). Let b(u) = -u**3 - 5*u**2 + 5. What is b(w)? -11 Let l = 1 + -2. Let j be 2*l*(-15)/(-10). Let m(h) be the first derivative of -h**3/3 - 3*h**2/2 - 2*h - 1. Calculate m(j). -2 Let q(b) = -2*b**2 + 18*b + 8. Let a be q(9). Let w(d) = d - 9. Give w(a). -1 Let i(j) = 5*j**2 + 4*j + 8. Let p(a) = -4*a**2 - 4*a - 7. Let w(o) = -3*i(o) - 4*p(o). Give w(-5). 9 Let p(y) = y - 5. Suppose 0 = -a + 3*a + a. Determine p(a). -5 Suppose 0 = -9*o - 9 - 45. Let y(i) = 6*i**3 + 11*i**2 - i. Let t(h) = 7*h**3 + 12*h**2 - h. Let n(c) = -5*t(c) + 6*y(c). Calculate n(o). 6 Let l(w) = 2 + 2*w**2 - 5*w**3 + 4*w**3 + 2*w + 0. Suppose -2*d = 4*v - 11 + 1, 0 = -4*d - 2*v + 14. Give l(d). -1 Let a(t) = -13*t**2 - 10*t + 10. Let z(u) = -4*u**2 - 3*u + 3. Let f(k) = 2*a(k) - 7*z(k). Calculate f(-2). 5 Let q be 18/2*(-7)/(-21). Let u(g) = -4*g + q*g - 2*g - 2. Suppose 4 = 4*b + 12. Calculate u(b). 4 Let s(v) = 4*v**2 - v. Let h = -7 - -13. Suppose -2*f + h*f = -8. Let l be (4/(-8))/((-1)/f). Calculate s(l). 5 Let y(q) be the third derivative of q**4/24 - 2*q**3/3 + q**2. What is y(-3)? -7 Let y(a) = -20*a - 7. Let r(c) = 8*c + c - 2*c + 2. Suppose 2*p = 5*v + 24, 0 = -p - p + 2*v + 30. Let o(h) = p*r(h) + 6*y(h). Calculate o(-5). -3 Let v(u) = 7*u**3 + 14*u**2 + 7*u + 11. Let s(a) = -3*a**3 - 7*a**2 - 4*a - 5. Let c(o) = 9*s(o) + 4*v(o). What is c(8)? -1 Let x(l) = -3*l**3 + 9*l**2 - l + 1. Let j(p) = 2*p**3 - 5*p**2
{ "pile_set_name": "DM Mathematics" }
5, -0.3, q in decreasing order. q, -0.3, -4/5 Suppose -6*p + 24 = 30. Put 3, 0, p, 1 in descending order. 3, 1, 0, p Let i be (-141)/21 + 6/(-21). Let x be i/(-28) - (-21)/(-4). Put -3, 3, x in decreasing order. 3, -3, x Let v(m) = m + 12. Let j be v(-10). Put 5, j, -4 in decreasing order. 5, j, -4 Let q(x) = -x**3 + 8*x**2 - 8*x + 6. Let o be q(7). Suppose 2*w = -p + 6, w + 4*p - 9 = -2*w. Put w, 10, o in increasing order. o, w, 10 Let t be (-5)/(-3 + 4 + -2). Put 1, t, 5/4 in descending order. t, 5/4, 1 Let d = 17 + -13. Let t = d + -1. Put 0, t, 1 in ascending order. 0, 1, t Let m = 167.04 - 163. Let b = -0.04 + m. Suppose d - 4*j - 1 + 0 = 0, 4*j = 0. Put b, d, 2/7 in ascending order. 2/7, d, b Let b(t) = -t**3 + 2*t**2 + 4*t + 1. Let w be b(3). Let s be (-5 + (-45)/(-12))/(2/(-8)). Sort w, s, -1 in ascending order. -1, w, s Let z = 64 - 62. Let x = -3/16 - -1/48. Put z, -0.03, x in descending order. z, -0.03, x Let a = 351 + -5267/15. Sort a, 0.1, -2 in decreasing order. 0.1, a, -2 Let h be -2 - 1*2/(-1). Suppose 0 = 3*f + 6, 4*a + 5*f = 3*a - 5. Suppose a*v + 3*t - 28 = 0, -3*t = -v - 6*t + 8. Put -5, h, v in ascending order. -5, h, v Suppose 0 = 3*g - 2*g + 16. Let l = -11 - g. Put 1, l, 1/2 in increasing order. 1/2, 1, l Let u = 17 + -16.7. Let l = 0 - u. Let y = -23/7 - -239/77. Sort -2, l, y in decreasing order. y, l, -2 Suppose 0 = j - 5, -4*j + 41 = 5*z + 6. Let m = 149/4 + -37. Let k = 2 + -1.9. Sort m, z, k in ascending order. k, m, z Let a(m) = m**3 - 8*m**2 + 7*m - 1. Let b be 44/6 - 1/3. Let z be a(b). Let n = z + 1. Put -2, n, -3 in increasing order. -3, -2, n Let v = 0.01 + 2.49. Let n = v - 3. Let i = 0.04 - 0.24. Sort 4, i, n in decreasing order. 4, i, n Let i(f) = f**3 + 2*f**2 - 23*f. Let b be i(-6). Sort -3, b, 4. b, -3, 4 Let c be 96/128 - (-43)/(-36). Let k be 2 + (56/(-18))/2. Sort c, -5, k in increasing order. -5, c, k Let m(h) be the third derivative of -h**5/60 - 2*h**2. Let t be m(0). Let p = 1 - -2. Sort p, t, -4. -4, t, p Let t = -16 + 19. Sort 4, 8, t in descending order. 8, 4, t Let b = 24 - 24. Suppose -y + 14 = -x + 3*x, 0 = -5*y + x + 15. Suppose 0 = y*m - 2*m + 2. Put m, b, 0.5 in decreasing order. 0.5, b, m Let l = -7.9 + 7. Let r = l + -4.1. Let m = -4 - r. Put m, -2, -1 in increasing order. -2, -1, m Let o = -0.07 - -0.57. Sort -1/9, o, 4/3. -1/9, o, 4/3 Suppose 5 - 3 = w. Suppose 4*b + 8 = 4*x, 2 = b - 5*x + 16. Suppose -2 = a - b. Put w, a, 0 in increasing order. a, 0, w Let w(u) = -6*u + 1. Let y(q) = 31*q - 4. Let d(z) = -11*w(z) - 2*y(z). Let m be d(2). Let h be ((-8)/10)/((-5)/25). Sort m, 0, h. 0, h, m Let s = 136 - 678/5. Let i = 7.38 - 7.48. Put s, 0, i in decreasing order. s, 0, i Let d = -4 - -8. Let j(s) = s - 3. Let q be j(6). Put d, q, -1 in increasing order. -1, q, d Suppose -2*r = -4 - 8. Let t be (-3)/r - (-10)/4. Suppose t*f = 3*f. Sort -5, -4, f in descending order. f, -4, -5 Let c = 4 + -4. Let i = c + -0.4. Put i, 4, 1/6 in ascending order. i, 1/6, 4 Suppose 0*y + 12278 = -2*y. Let a be 1/4 + y/(-196). Let n = 31 - a. Put 1, n, 1/4 in descending order. 1, 1/4, n Let z = 25 - 28. Let n = 8 + z. Put 1, n, -0.2 in decreasing order. n, 1, -0.2 Suppose 3 = -2*w - i, -2*w + 12 + 5 = -3*i. Let k be 26/7 + 4/14. Put 5, w, k in decreasing order. 5, k, w Let t = -21 - -21. Put t, 5/2, -1 in decreasing order. 5/2, t, -1 Suppose -21*u = -19*u + 10. Suppose 0 = -0*v + 2*v - 6. Put -1, v, u in decreasing order. v, -1, u Let k = -2.4 - -3. Let s = k + 0.2. Let j = 0.3 - s. Put j, -4, 2 in decreasing order. 2, j, -4 Let b be 5/2*66/(-55). Put b, 5, 2, -6 in ascending order. -6, b, 2, 5 Suppose j - 6 = -2*r - 22, 3*r + 45 = -5*j. Put j, -3, 5 in ascending order. j, -3, 5 Let l = 14 - 10. Let g = -15 + 24. Let s = g + -12. Put l, -1, s in decreasing order. l, -1, s Suppose -3*n + 24 = 3*n. Let r(y) = y**2 + 2*y. Let k be r(-1). Let x be 0/k + 1 + 0. Sort x, -1, n in ascending order. -1, x, n Let y = -6/5 + 31/30. Let n = 19 + -17. Let l = -82/3 - -26. Sort n, l, y. l, y, n Suppose -2*p - 4 = 5*s - 3*s, -3*s - 12 = 5*p. Sort 0, 1/3, s in decreasing order. s, 1/3, 0 Let x be 16/(-6) - (3 + -6). Put 1, 0.3, x, 1/2 in descending order. 1, 1/2, x, 0.3 Suppose 8*k - 4*k + 8 = 0. Sort -4, 3, k in decreasing order. 3, k, -4 Let z = 0 - 0. Let p be (28/8 - 4)*-4. Suppose -4*t = 4*b - 9*b - 41, -p*b = -5*t + 30. Put b, z, 4 in descending order. 4, z, b Let u = -2 + 1. Let k be 1/((2 - 1)/u). Suppose -5 = -4*g + 3. Sort k, -4, g. -4, k, g Let f = -4.9 - -0.9. Let p be (-9 - (-130)/20)*(-8)/30. Put p, 3, f in ascending order. f, p, 3 Let w(n) = 2*n. Let o be w(7). Let a = 23 - o. Sort -5, 3, a in increasing order. -5, 3, a Let v = 0.04 - 0.18. Put v, -4, 0.3 in descending order. 0.3, v, -4 Suppose 4*t - 20 = -0. Sort t, 4, -5 in ascending order. -5, 4, t Let h(k) = k - 3. Let j be h(4). Put 2, j, 4 in increasing order. j, 2, 4 Suppose 2*i = 3*h - 11, -5 = -3*i + 4*i - 2*h. Suppose 3*m - 4*a = 11, -2*m = 2*m + 2*a. Put 0.2, m, i in ascending order. i, 0.2, m Let t = 302/7 - 43. Sort 2/7, 2, t in ascending order. t, 2/7, 2 Suppose 2*d = 5*m + 4 - 3, m - 11 = 2*d. Let y = d - -11. Sort 0, y, 3 in descending order. y, 3, 0 Let o = 2 - 0. Let f be 1 - -1 - -7 - o. Suppose 5*j + 8 = -f. Sort 0.5, 0.4, j in descending order. 0.5, 0.4, j Let r(h) = h**3 - 17*h**2 - 19*h + 16. Let d be r(18). Sort d, -1/13, 0.4 in increasing order. d, -1/13, 0.4 Let y = 15 + -10. Let o = -0.6 + 1.1. Let j = o + 0.5. Put y, j, -2 in increasing order. -2, j, y Let p = 1.65 + 0.07. Let o = 0.22 - p. Sort o, -2, 5. -2, o, 5 Suppose -3*f = 3*v, 8 = f + 3*v + 2*v. Let g be (f + 2)/(6/3). Let p = -2.2 - -4.2. Put p, -1, g in increasing order. -1, g, p Let o = 1 - -2. Let v be 0/(8 - 3 - o). Sort 4, -1, v in decreasing order. 4, v, -1 Let r be -3*(2 + (-14)/(-6)). Let n be (-42)/(-10) - r/(-65). Let l = -1 - -1. Sort l, n, -4 in descending order. n, l, -4 Let n be -3 + -1 - 45/3. Let c = n - -21. Sort -7, c, -5 in descending order. c, -5, -7 Let k = -5 + 10. Let p(d) = -d**3 - 6*d**2 - 3*d + 11. Let h be p(-5). Put 2, h, k in descending order. k, 2, h Let z be ((-8)/(-2) - 3)*3. Sort 0, z, -5, 7 in descending order. 7, z, 0, -5 Let h be (-14)/4 + 1/(-2). Let m = -40 - -37. Sort m, 4, h in descending order. 4, m, h Let u = 15 + -11. Let l be 1 + -3 + 49/21. Let q = 25.7 + -26. Put u, q, l in descending order. u, l, q Let p(l) = -l**3 + 5*l**2 - 6*l + 3. Suppose 5*y = 18 + 2. Let u be p(y). Let r(z) = z. Let g be r(u). Sort 2, g, -4 in increasing order. g, -4, 2 Suppose -n + 2 = 3*p, -5*n = -0*n + 20. Suppose -2*r = 2*q + 4, -1 - 1 = r. Suppose i - 1 = -q*i. Put p, 3, i in decreasing order. 3, p, i Let m(d) = 3*d**3 - 1. Let q be m(-1). Suppose r - 6*r - 25 = 0. Put q, r, -2 in descending order. -2, q, r Suppose 5*d + 3 = -7. Let f be (d/4)/((-34)/8). Let w = -0.05 + -1.95. Put f, -4, w in descending order. f, w, -4 Let y be (2/5)/((-9)/(-870)). Let j = -39 + y. Put j, 0.4, -4 in descending order. 0.4, j, -4 Suppose 4*f = -4*t - 4 - 8, 0 = f - t + 1. Put -3, f, 0 in decreasing order. 0, f, -3 Let q = -144.6 + 145. Put 5, q, -0.3 in decreasing order. 5, q, -0.3 Suppose 6 + 2 = 4*g. Suppose t = -4*k - 16, -10 = -g*t + 5*k - 3. Let r = t - -3. Sort 0, r, 4 in descending order. 4, 0, r Let v = 67 + -74. Put 0, -2, v, -4 in descending order. 0, -2, -4, v Suppose 4*p = 4*o + 8, -2*o + p + 1 = 4. Sort o, -2, -5 in ascending order. -5, -2, o Let v be 8/10*(-30)/12. Sort -1, 7, v. v, -1, 7 Let a = 6 + 12. Sort 5, a, 3. 3, 5, a Suppose -3*y - 14 = -8*y - f, -y + 5 = -2*f. Let h be (-74)/14 + (-2)/(-7). Put y, -4, h in decreasing order. y, -4, h Suppose 0 = -n - 0*n + 2. Suppose n*a = 5*a + 15. Sort -2, a, 2 in ascending order. a, -2, 2 Let d be 0 + -3 + (2 - 0). Sort d, 3, 6 in ascending order. d, 3, 6 Let r = -8 + 14. Let y be 4/9*9/r. Sort y, -1, 0.3 in descending order. y, 0.3, -1 Let r be 0 + (6/(-3))/2. Put -5, 0, r in increasing order. -5, r, 0 Let p = 118 + -119. Put p, 2/35, -0.3, 4 in descending order. 4, 2/35, -0.3, p Let f(n) = -n**3 + 16*n**2 + n. Let g be f(16). Put 4, g, -5 in decreasing order. g, 4, -5 Let x(m) = -3*m**2 + 41*m + 13. Let d be x(14). Sort 0, d, 1 in descending order. 1, 0, d Let a = -88 - -86. Put -4, a, 0, -46 in increa
{ "pile_set_name": "DM Mathematics" }
x) = -11 - 22*x**2 + 14 - v. What is y(t(a))? 44*a**2 Let f(s) be the second derivative of s**3/6 + 103*s. Let g(q) = -5*q**2 - 31*q. Determine f(g(d)). -5*d**2 - 31*d Let l(z) = -z**2. Let x(m) = 5*m + 1. Let i(f) = -58*f - 3. Let k(g) = i(g) + x(g). Calculate l(k(a)). -2809*a**2 - 212*a - 4 Let t(v) be the second derivative of -25*v**4/12 + 193*v. Let m(i) = 11*i**2. What is m(t(g))? 6875*g**4 Let q(h) be the third derivative of 0 + 0*h**3 + 16*h**2 + 1/60*h**5 + 0*h + 0*h**4. Let y(l) = 0*l + 0*l + 6*l**2. Determine y(q(m)). 6*m**4 Let l(f) = f**2 + 11*f - 5. Let i be l(-12). Let m(z) = -i*z + z - 2*z. Let k(y) = -6*y**2 - 3*y**2 + 7*y**2. What is m(k(q))? 16*q**2 Let k(a) be the second derivative of -a**7/2520 - 37*a**4/12 - 5*a. Let i(x) be the third derivative of k(x). Let d(n) = -9*n**2. What is i(d(m))? -81*m**4 Let t(i) = -22 + 28 + 189*i**2 - 195*i**2. Let y(p) = p. Give t(y(s)). -6*s**2 + 6 Let v(f) = 22110*f. Let p(b) = b. What is p(v(z))? 22110*z Let i(z) = z**2 - 6*z. Let o(q) = -4*q**2 + 21*q. Let r(l) = 7*i(l) + 2*o(l). Let g(n) = -141*n. Give r(g(y)). -19881*y**2 Let z(p) = -5*p - 12. Let a(v) = 70*v + 165. Let o(n) = 4*a(n) + 55*z(n). Let g(x) = -4*x**2. Give g(o(c)). -100*c**2 Let z(b) = -120*b**2. Let u(h) = 3*h**2 - 70*h. Give u(z(a)). 43200*a**4 + 8400*a**2 Let o(p) = 72506*p. Let t(f) = f. What is t(o(w))? 72506*w Let m(f) = -f. Let s(t) be the first derivative of t**2/2 - 15. Let h(n) be the first derivative of -5*n**2/2 - 2. Let z(a) = h(a) + 3*s(a). Give z(m(y)). 2*y Let x(n) = -17*n**2 - 8. Let q(l) = l. Let o(z) = 11*z**2 + 4*z + 5. Let p(g) = o(g) - 4*q(g). Let r(y) = 8*p(y) + 5*x(y). Let d(b) = 4*b**2. Give d(r(w)). 36*w**4 Let h(d) = d + 11. Let f(i) = -4*i - 33. Let g(c) = f(c) + 3*h(c). Let k be ((0/(-2))/(-2))/1. Let a(n) = -3*n**2 + 5*n**2 + k*n**2. Calculate g(a(l)). -2*l**2 Let n(f) = -2*f**2. Let c = 126 + -126. Let h(g) = 0 + 52*g**2 - 29*g**2 + c. What is h(n(l))? 92*l**4 Let a(z) = 182*z - 538*z + 177*z + 182*z. Let n(w) = 442*w. Give a(n(h)). 1326*h Suppose -2*m = -5*z - 8, 0 = 5*m - 27 + 7. Let u(h) = 0*h + 5*h**2 + z*h - 7*h**2. Let g(o) = 3*o. Determine g(u(y)). -6*y**2 Let h be 34/51 + (-12404)/(-6). Suppose 176 = -4*d + h. Let j(v) = -473*v - 21*v**2 + d*v. Let r(n) = -n**2. Give r(j(b)). -441*b**4 Let c(f) = 8*f. Let l(o) be the first derivative of o**4/3 - 24*o + 28. Let b(h) be the first derivative of l(h). Calculate b(c(a)). 256*a**2 Let z(c) = 5*c. Let y(b) = 5*b. Let v(o) = 5*y(o) - 6*z(o). Let r(n) = -3*n**2 - 3*n**2 + 4*n**2. Determine v(r(d)). 10*d**2 Let d(c) = 157*c**2 - c + 5. Let x(l) = 10*l. Determine x(d(h)). 1570*h**2 - 10*h + 50 Let h(k) = 15500*k**2. Let a(f) = 74*f**2. Give a(h(m)). 17778500000*m**4 Let p(v) = -352*v**2. Let i(o) = 7 - 6 + 789*o**2 - 788*o**2 - 1. Determine i(p(l)). 123904*l**4 Let b(a) = -21*a**2 + 5*a - 35. Let u(d) = -11*d**2 + 2*d - 14. Let o(k) = 4*b(k) - 10*u(k). Let j(f) = 3*f**2. Give j(o(q)). 2028*q**4 Let i(t) = 2*t**2. Let w(r) = -r**3 - r**2 - 3*r - 1. Let c be w(-1). Let m(y) = 5*y + c*y - 6*y - 11*y**2 + 10*y**2. What is i(m(j))? 2*j**4 - 4*j**3 + 2*j**2 Let n(d) = -9*d. Let l(i) = 6*i - 33. Let t(w) = -11*w + 55. Let j(g) = -7*l(g) - 4*t(g). Give n(j(r)). -18*r - 99 Let q(c) = -10*c. Let u(b) = -1079*b + 4. Give q(u(z)). 10790*z - 40 Let s(i) = 12*i - 246374. Let d(t) = -2*t**2. Give s(d(r)). -24*r**2 - 246374 Suppose 12 = t - 4. Let b(g) = -12*g**2 + 27*g**2 - t*g**2. Let d(m) = 7*m**2. Give d(b(c)). 7*c**4 Let a(w) = -13*w**2 - w + 15. Let s(v) = -10*v**2. What is a(s(u))? -1300*u**4 + 10*u**2 + 15 Let c(s) = 3*s. Let y(b) be the third derivative of -5*b**5/12 + b**4/6 - 8*b**2 + 9. Give c(y(x)). -75*x**2 + 12*x Let g(c) be the first derivative of 2*c**3/3 + 592. Let y(t) = -29*t - 4. Let v(m) = -29*m - 5. Let s(k) = 4*v(k) - 5*y(k). Calculate g(s(i)). 1682*i**2 Let q(t) = 130*t. Let v(z) = 11*z**2 - 8*z - 4. Let w(r) = 9*r**2 - 6*r - 3. Let y(g) = 3*v(g) - 4*w(g). Determine q(y(f)). -390*f**2 Let c(t) = -7*t. Let f(h) = 19*h**2 + 12. Let i(q) = -36*q**2 - 22. Let p(z) = 11*f(z) + 6*i(z). Determine p(c(a)). -343*a**2 Let z(y) be the first derivative of 0*y**2 + 2/3*y**3 + 0*y - 1. Let x(a) = 6*a - 4*a - 3*a. Give z(x(n)). 2*n**2 Let s(x) = 3*x**2. Let c(d) = -19*d. Let l(v) = 18*v. Let m(i) = -2*c(i) - 3*l(i). Give s(m(h)). 768*h**2 Let l(o) = 19*o**2. Let f(v) = 33598*v. What is l(f(d))? 21447686476*d**2 Let n(z) = 6*z. Let j(q) be the first derivative of q**6/360 - 19*q**3/3 + 5. Let i(h) be the third derivative of j(h). What is i(n(d))? 36*d**2 Suppose -2*x + 16 + 28 = 0. Let i = -27 + x. Let g(w) = w + 5. Let l(j) = j + 1. Let q(s) = i*l(s) + g(s). Let v(z) = 4*z. Give q(v(f)). -16*f Let d(z) be the second derivative of z**3/2 - z. Let f(v) = -v - 3. Suppose 18 = k + 12. Let g(x) = -6*x - 17. Let t(r) = k*g(r) - 34*f(r). Calculate t(d(u)). -6*u Let s(h) = -31*h**2 - 33*h**2 + 59*h**2 + 3*h**2. Let t(i) = -21*i + 4. Give s(t(v)). -882*v**2 + 336*v - 32 Let f(q) be the first derivative of -4/3*q**3 + 32 + 0*q + 0*q**2. Let v(k) = -21*k. Calculate f(v(m)). -1764*m**2 Let f(t) = 4*t. Let z(b) = -8611*b + b**2 + 8611*b + 5 - 2. Calculate z(f(r)). 16*r**2 + 3 Let n(d) = 6*d. Let k(h) = -11*h - 18*h + 29*h - 8*h. Give k(n(m)). -48*m Let l(i) = -4*i. Let w be (18 + -16)*((-10)/(-4) - -2). Let o(s) = -25*s + 17*s + 8*s - w*s**2. Determine o(l(c)). -144*c**2 Let i(j) = -19*j. Let y(m) be the first derivative of -m**5/120 + 11*m**3/3 + 9. Let q(t) be the third derivative of y(t). Determine q(i(p)). 19*p Let w(o) = 2*o**2. Suppose -4*v + 2 = 2*t - 10, v + 4*t = 3. Let b(j) = 4*j - 4*j + 17 - v*j. Let u(s) = s - 6. Let k(r) = -6*b(r) - 17*u(r). What is w(k(h))? 2*h**2 Let x(s) = 7*s + 70. Let z(v) = 2. Let a(y) = x(y) - 35*z(y). Let i(q) = -17*q**2. Calculate i(a(k)). -833*k**2 Let o(g) = -8*g**2 + 24. Let a(x) = -x**2 + 1. Let i(v) = -24*a(v) + o(v). Let s(u) = -346 + 346 + u**2. Calculate s(i(r)). 256*r**4 Let y(x) = x. Suppose 4*o + 1 = q + 2, 2*q + o + 2 = 0. Let t be q/4 + 13/4. Let r(l) = t*l**2 + 38*l - 38*l. What is r(y(z))? 3*z**2 Let m(g) = -2*g. Let x(t) be the third derivative of -t**8/3360 + 7*t**5/60 - 4*t**2. Let k(r) be the third derivative of x(r). Determine k(m(a)). -24*a**2 Let t(o) = -4*o**2. Let p(b) be the first derivative of -5*b**3 + 79. Give p(t(x)). -240*x**4 Let t(c) = 4*c. Let y(m) = -54994*m**2. Determine y(t(r)). -879904*r**2 Let f(h) = -2*h. Let n(s) = -3*s**2 + 16016*s + 8. Calculate n(f(w)). -12*w**2 - 32032*w + 8 Let w(n) = 2*n**2. Let v(b) = -102494*b**2. What is w(v(c))? 21010040072*c**4 Let d = 6 - 4. Let n(v) = -87*v + 87*v - d*v**2. Let i(h) = 2*h**2 - 14*h. Calculate i(n(g)). 8*g**4 + 28*g**2 Let h(y) = -2*y + 4. Let p(j) = -3*j - 7*j - 3*j + 9*j + 10. Let t(i) = -5*h(i) + 2*p(i). Let s(u) = 1 - 2*u - 1. What is s(t(d))? -4*d Let h(s) = -9*s**2. Let g(n) = 20*n - 813. Give g(h(d)). -180*d**2 - 813 Let s(k) = 2*k. Let n = -156 + 158. Let o(d) = -214*d**n + 109*d**2 + 122*d**2. Calculate o(s(i)). 68*i**2 Let b(h) = 8*h. Let v(u) be the first derivative of 0*u**2 + 10 + 5*u + 0*u**3 + 1/12*u**4. Let g(q) be the first derivative of v(q). Give g(b(x)). 64*x**2 Let x be 2*(2 - 4/((-24)/9)). Let s(n) = 7*n - 2*n - 17*n + x*n. Let z(t) be the second derivative of -t**4/12 - 3*t. What is z(s(b))? -25*b**2 Let d(z) = z. Let o(a) be the first derivative of 0*a + 7 + 0*a**2 + 4/3*a**3. What is d(o(q))? 4*q**2 Let f(p) = 32*p. Let v(a) = -1727*a + 2. Give v(f(n)). -55264*n + 2 Let n(b) = 22*b**2. Suppose -4*p = 12, 20 = -q + 3*q - 4*p. Let j(l) = -q*l**2 - 60*l + 31*l + 29*l. Calculate j(n(f)). -1936*f**4 Let j(a) be the first derivative of 2*a**3/3 + 60. Let r(i) = -90*i. Determine j(r(c)). 16200*c**2 Let w(s) = 3*s**2. Let b(u) = -2*u - 7. Let x be b(-5). Let c be (3/12*0)/(-1). Let a(v) = c*v + 0*v - x*v**2 + 0*v. What is w(a(f))? 27*f**4 Let p(x) = 2*x + 18. Let a(f) = f + 0*f - 4*f + 2*f. What is p(a(c))? -2*c + 18 Let s(a) be the first derivative of 2*a**3/3 + 1. Let y(j) be the second derivative of j**3/3 - 56*j. Give s(y(o)). 8*o**2 Let a(w) = 603*w. Let v(t) = -20*t**2 - 1. Calculate v(a(h)). -7272180*h**2 - 1 Let y(z) = -129*z**2 + 2. Let g(a) = -2198*a**2 + 35. Let x(b) = 2*g(b) - 35*y(b). Let w(m) = -m. Give w(
{ "pile_set_name": "DM Mathematics" }
90 + t. Are s and -54 equal? False Let v = -32298 + 32298. Which is greater: v or 6/4663? 6/4663 Suppose -134*c = -139*c - 40. Let z be ((-15)/(-20))/((-6)/(-32)). Which is smaller: c or z? c Let s be ((-38)/(-6))/((-1)/3). Which is smaller: 8 or s? s Suppose -4*a - 9 = 3*u + 3, -3*a - 3*u - 9 = 0. Let d be 5 + a + (-294)/96. Which is bigger: d or -2? d Let x be (((-2)/(-6))/((-5093)/(-66)))/((-1)/27). Is x equal to 1? False Suppose -5*x - 35 = -0*v - 2*v, -2*v - x = -5. Suppose -5*f + 2 = -v*n - 33, -3*n = 4*f - 7. Suppose -5*s = -f*q - 48, 17 = 4*s + 2*q - 37. Is s != 8? True Let g = 0.63 - -0.14. Let p = 0.23 + g. Is -33 > p? False Let v = -4737/22 + 1560/11. Let o = -74 - v. Which is bigger: o or -1? o Let x = 224.1 - 241.3. Is x bigger than -9? False Suppose -17*x = -15*x + 10, 5*x = 5*f + 25685. Is -5142 at most f? True Let m = -1378 - -833. Let q = m + 548. Which is smaller: -0.09 or q? -0.09 Suppose 5*u + 4*x + 12414 = -6854, 0 = -5*u + 4*x - 19292. Is u less than or equal to -3855? True Let o = 24 + -33. Let r = o - 13. Let m = r + 32. Is -1 greater than or equal to m? False Let k be (-7)/(-84)*0*1*(-2 - -3). Which is smaller: k or 3/4034? k Let i = -329 - -898. Suppose -22*r = -487 - i. Are r and 48 unequal? False Let f = -10913 + 10911. Which is smaller: f or -0.575? f Let s be 291 - ((-8)/(-3))/((-24)/36). Let r be 6/4 + s/(-177). Which is smaller: r or 0.18? r Let d(k) = -k**2 - 5*k + 41. Let i be d(-9). Let s = -116447069/174 + 669241. Let h = -33/29 + s. Is i equal to h? False Let l(a) = -9 - 8 + 31*a - 14*a**2 - 2*a**3 - 6*a**3 + 7*a**3. Let h be l(-16). Is h greater than 18/41? False Let a = -0.0053 - 93.2947. Let q = 93 + a. Is 5/11 >= q? True Let c be ((-1245)/(-239870))/((-762)/(-4)). Is c greater than or equal to -1? True Let c = -20951.617 - -20965. Let k = c - 0.383. Is k < 3? False Suppose -6*w = x - 2*w + 7, 0 = 4*x - 5*w + 133. Let q be (-1221)/45 + 0 + 21/(-2 + -103). Which is smaller: x or q? q Suppose -24 = -12*a + 16*a. Let o(b) = 2*b**2 + 12*b - 3. Let v be o(a). Are v and -6 unequal? True Let h = -14.4 - -14.741. Let a = 61 - 60. Is a greater than h? True Let b(p) = p**3 + 16*p**2 + 306*p - 30. Let r be b(-17). Is r less than -5520? True Suppose -3*b + 105 = 3*p, 7*b + p = 2*b + 159. Suppose 0 = -b*u + 32*u - 47. Which is smaller: u or 48? u Let u = -0.7 - -1. Suppose w + 303*w = 0. Which is smaller: w or u? w Let t = -2408 + 2362. Let n = 327.8 - 282. Let h = n + t. Which is smaller: h or 7? h Let i(v) = v**3 - 1. Let d(z) = 2*z**3 - 12*z**2 + 18*z - 30. Let f(t) = d(t) - 3*i(t). Let r be f(-14). Is r less than 114? True Suppose 236 + 853 = 9*s. Let j be ((-352)/s + 3)*(-4)/(-38). Which is bigger: 0 or j? j Let q(x) = -x**3 - 16*x**2 + 6*x + 75. Let y be q(-6). Which is greater: y or -2.8? -2.8 Let t be 2 - (291080/508 + -3 + 3). Let g = 571 + t. Does -1 = g? False Let k = -5653 - -5729. Which is smaller: 72 or k? 72 Let i = 0.1 - 0.22. Let h = -121 + 119.88. Let v = i - h. Which is greater: -14 or v? v Let x(b) = -22*b**3 - 17*b**2 - 7*b + 18. Let s(p) = 10*p**3 + 8*p**2 + 3*p - 9. Let z(h) = 13*s(h) + 6*x(h). Let d be z(-2). Is 21 at least as big as d? True Suppose p + 1083 = 20*p. Suppose w - 1 = 0, w + 10 = -2*y + p. Is 20 >= y? False Suppose 4*t = t + 24. Suppose t*k = 12*k. Suppose -m - 22 = -k*m. Which is smaller: m or -23? -23 Let p = 5 - 5. Suppose -106 = 5*j - 266 - 110. Which is smaller: j or p? p Let p be (14/21)/(1/3). Suppose -p*l + 44 = 2*l. Let t be 4 - (l - 3 - 4). Is t equal to 2/13? False Suppose -2*w + 4*w + 19 = 3*t, -17 = -5*t - 4*w. Let m = -67.53 + 62.3. Let y = m + 5.15. Which is bigger: y or t? t Let p(d) = -51*d**3 + 5*d**2 + 18*d + 64. Let r be p(-4). Is r at most as big as 3339? True Let x = -1157 + 1156. Let m(k) = -7*k + k**2 + 0*k**2 + 4 - 1 + 3. Let u be m(6). Which is smaller: x or u? x Let f be (-6)/(-4) - 25/200*-12. Which is bigger: f or 454/125? 454/125 Let h be (465/434)/(510/(-175)). Is h smaller than -1? False Let z = -397/108 - -1/108. Suppose -10*k = -8*k - 4. Let f be (-2 - (8 - k)) + 4. Is z >= f? True Suppose 0 = 3*d + 4*y - 101, 0*d - 4*d - 4*y + 128 = 0. Let a be 1*d*56/(-6). Is a equal to -251? False Suppose -360*m + 3*x + 456 = -362*m, 5*x - 176 = m. Which is bigger: m or -197? -197 Let m be (-8)/(-14) - 57/(-152)*76. Which is bigger: 28 or m? m Let r = 29 + -15. Let w be (-198)/(-77) + 6/r. Suppose 0 = -w*j - 32 - 19. Which is smaller: -16 or j? j Let v = -55 - 59. Let k be ((-63)/v)/7*4/(-78). Do k and 1 have different values? True Suppose -29*i - 136 - 299 = 0. Let d be ((-27)/9)/i*9. Which is smaller: d or 3? d Let q = 0.201 + 0.197. Let g = 0.602 + q. Is g equal to -12/5? False Suppose -6*u + 1116 = 3*u. Let j be u/20 + (-4)/4. Which is smaller: j or 6? j Let r = 188416/77 - 2447. Let y be -2*(21/7)/(-6). Which is bigger: r or y? y Let j = -47 + 193/4. Suppose 0 = 313*a - 311*a - 4. Let u be 3/((-9)/3) + a. Which is smaller: u or j? u Suppose -2*v = -6*v. Suppose v = 10*j + 98 + 52. Let b be (j/5)/3 + 0. Which is smaller: -5/18 or b? b Let y(o) = -o**2 - 18*o - 46. Let d be y(-14). Suppose 0 = -d*x - 10*x + 760. Is 0.3 >= x? False Let f = 0.62 - 695.62. Are -1/4 and f non-equal? True Suppose -9 = 3*r - 54. Suppose -r*g = -4*g - 11. Which is smaller: 8/7 or g? g Let n(f) = 5*f + 5. Let m be n(32). Let b = 166 - m. Let j be 2 + -4 + 17/7. Is b smaller than j? False Let g be (16/40)/(2/1670). Let y = 2003/6 - g. Which is smaller: y or 1.6? y Suppose 79*u - 3 = 2*g + 76*u, -3*g - 2*u + 2 = 0. Let o be (-10)/3*(-2)/(-24). Which is smaller: o or g? o Let g = 122.43 + -122.48. Let p be 17/6 - 2/4. Which is greater: g or p? p Let y = -47.62 - -47.53. Is 86 at most y? False Let p = -144 + 99. Let k = 5002 - 5003. Is p greater than k? False Let q = -47 - -53. Let o(p) = 6*p - 20. Let r be o(q). Suppose 5*z + u - 54 = r, 44 = 3*z + u. Which is greater: 11 or z? z Let k = -751 + 750. Let d = 2043/7 + -92033/315. Is d less than k? False Let g be 66/(5*168/1155). Is 90 at most as big as g? True Let t(j) = 4*j + 3*j - 48 - 8*j. Let c be t(4). Do c and -52 have the same value? True Let x(s) = -405*s - 2835. Let w be x(-7). Which is greater: w or -2/591? w Let x = -1735 - -4652. Is x greater than 2919? False Let n = -8 + 11. Let y = 94 - 81. Let d(t) = t**2 - 14*t + 12. Let h be d(y). Which is greater: n or h? n Let h(u) = 658*u**3 + 3*u**2 + 2*u. Let w be h(-1). Let q = 492 + w. Is -166 equal to q? False Let g = -1018.8 - -1019. Which is greater: g or -2000? g Let r = -10694338/25 + 427704. Let j = -348/5 - r. Suppose 5*u - 10 = -2*g, 2*g - 7 = -2*u - 3. Which is greater: g or j? g Let d = 57 + -55. Suppose d*i - 5*c + 5 = 1, 0 = -2*i - 4*c + 14. Let w be -1 + (-6)/7 - (-6 + i). Do 0.1 and w have different values? True Let t = 7272235/1884 + -3860. Which is greater: -1 or t? t Suppose -125 = -256*j + 255*j. Let i = j - 30. Which is smaller: i or 94? 94 Let k = -95 + 107. Suppose 4*s = s + 24. Suppose s*m - k = 12. Is m smaller than 4? True Let p = -12 + 17. Suppose -7 = 4*w - 2*w + 3*l, w - p*l = 29. Let m = 202 + -198. Is w less than m? False Let h(p) = -p**3 - 5*p**2 + 5*p - 1. Let f be h(-6). Let w = f - 5. Let x = 19 + -229/12. Is w bigger than x? True Let p = -27708.4 + 27707. Which is greater: p or 88? 88 Let m = 0.12 + -0.1. Let z = 178.0547 - 178. Let g = z - 4.0547. Which is smaller: m or g? g Let f = 818.9 - 819. Is -10.92 at least f? False Let o = 1.1626 - -1.9674. Is -1/4 smaller than o? True Suppose 0 = 58*c - 18*c + 40. Which is smaller: -89/81 or c? -89/81 Let m = -40068 - -40032. Which is smaller: m or 266/5? m Let q = 0.4912 + -1898.4912. Is 2/5 greater than q? True Let t(o) be the third derivative of 19*o**6/30 + o**4/24 - o**3/3 - 23*o**2. Let v be t(1). Suppose 5*y - 10*y = -v. Is 16 less than y? False Let r = 0.9872 - 1.1872. Let q = 151 - 416. Is r greater than q? True Let v(n) = -4*n - 61. Let c(y) = -y**3 + 5*y**2 + y + 15. Let t be c(6). Let x be v(t). Is x > -18/79? False Let f = 57/7 - 6562/805. Let q(c) = -c + 94 - 120 - 4*c. Let t be q(-5). Which is smaller: t or f? t Let t = -72 - -72.4. Let a = 0.2 + -0.5. Let n = a + t. Is n greater than 23? False Let p = -11430 + 11154. Which is smaller: p or -19? p Let h = 506 + -34. Suppose 146*w - 1
{ "pile_set_name": "DM Mathematics" }
vide -26434899 by 3. -8811633 Divide 37543659 by 915699. 41 Divide 3007078 by -7. -3007078/7 Divide 159951375 by 3. 53317125 -114410 divided by -4 57205/2 Divide -16619712 by 1. -16619712 Calculate 58354184 divided by -8336312. -7 Calculate -204713605 divided by -5. 40942721 -4879984 divided by -688 7093 Calculate -5 divided by -29331188. 5/29331188 Divide -248976 by -1. 248976 What is -2498 divided by 16288? -1249/8144 -106797 divided by -50 106797/50 What is 18142626 divided by 6047542? 3 Calculate -255908420 divided by 5. -51181684 Calculate -69291 divided by -1325. 69291/1325 -203 divided by 2245746 -203/2245746 62 divided by -24562 -31/12281 What is -48 divided by -1155299? 48/1155299 What is -134426844 divided by -1359? 98916 What is 157141 divided by 406? 157141/406 Divide 76651504 by -2. -38325752 20 divided by 246124 5/61531 Divide -113410362 by -6. 18901727 What is -11246950 divided by -55? 204490 Divide 15 by -6677096. -15/6677096 What is 8 divided by -572961? -8/572961 4325400 divided by 18 240300 Divide 866064 by -866064. -1 -16526856 divided by 1 -16526856 Divide 267894 by -33. -8118 Divide -48996075 by 13. -48996075/13 Calculate -281507 divided by 81. -281507/81 -7989840 divided by -3699 2160 Divide 1563018 by 8781. 178 What is 0 divided by -40470015? 0 Divide -55688380 by -538. 103510 Calculate 28193940 divided by 28193940. 1 Calculate 45 divided by 63959. 45/63959 45 divided by -33025631 -45/33025631 What is 30750621 divided by 10250207? 3 Calculate 5859135 divided by 17. 344655 -149381124 divided by 2 -74690562 Divide -222292624 by -6. 111146312/3 What is -444519079 divided by 101? -4401179 190 divided by 50833 190/50833 What is 304510556 divided by 430708? 707 Calculate 12170 divided by 5125. 2434/1025 What is -145693812 divided by 633? -230164 Calculate 151875 divided by 43. 151875/43 16657 divided by 271 16657/271 Divide -5568648 by 18813. -296 What is 8 divided by -7035784? -1/879473 1966331 divided by -38 -1966331/38 Calculate -324 divided by 2455460. -81/613865 Divide 48 by 277123. 48/277123 What is 50161 divided by 8989? 50161/8989 Calculate -45 divided by -760996. 45/760996 -9616880 divided by 2642 -3640 Calculate -5 divided by 52986580. -1/10597316 What is 14 divided by -56047529? -14/56047529 -1541920 divided by 3680 -419 155140150 divided by -25 -6205606 18469528 divided by -6 -9234764/3 What is 13 divided by -9524774? -13/9524774 Divide -6706 by 178821. -6706/178821 Calculate -43 divided by 10760438. -43/10760438 Calculate 252071310 divided by -15. -16804754 What is -2536 divided by 305? -2536/305 -24 divided by 1809905 -24/1809905 -203541215 divided by -40708243 5 Calculate -465 divided by -53316. 155/17772 125 divided by -183131 -125/183131 Divide -115968276 by -19328046. 6 -11 divided by 1718501 -11/1718501 What is 130376 divided by 86? 1516 Divide -13531 by 20891. -13531/20891 What is -17254425 divided by -1150295? 15 Calculate -20 divided by 821768. -5/205442 -4641589 divided by 6 -4641589/6 What is -4262 divided by 66383? -4262/66383 Divide 894945375 by -25. -35797815 Divide -116755 by 160. -23351/32 Calculate -675878690 divided by -5. 135175738 Divide 0 by 357385. 0 What is -46423433 divided by -4? 46423433/4 -166846 divided by -65 166846/65 What is -12202 divided by 780? -6101/390 Calculate 378543276 divided by -433612. -873 1813 divided by -344185 -1813/344185 -222 divided by 34254 -37/5709 Divide -1554 by 3030. -259/505 Calculate -84179 divided by -553. 84179/553 Calculate -216429453 divided by 72143151. -3 -1593 divided by 187929 -177/20881 What is 5095901 divided by -6? -5095901/6 What is -9089277 divided by 2643? -3439 Calculate -20 divided by -1208781. 20/1208781 -19493 divided by -5846 19493/5846 Calculate -22304 divided by -91. 22304/91 -151280 divided by 8 -18910 Calculate 0 divided by 11700724. 0 What is -23164870 divided by 5? -4632974 4686 divided by -50068 -2343/25034 1144962 divided by -21 -54522 What is -29222462 divided by -4? 14611231/2 -197553048 divided by 66 -2993228 What is 73693 divided by 2673? 73693/2673 Calculate 4979 divided by -4773. -4979/4773 Divide -36259827 by -11. 36259827/11 Calculate 869870 divided by -2. -434935 What is 61851105 divided by -985? -62793 Calculate -143287 divided by 1937. -143287/1937 Calculate 930557475 divided by 1055. 882045 Calculate 8940330 divided by 1234. 7245 295077 divided by 152 295077/152 118985104 divided by -29746276 -4 What is -16001504 divided by -2000188? 8 What is -94576 divided by -92? 1028 Divide -10 by -4199409. 10/4199409 What is -333129012 divided by -4? 83282253 Divide 132601772 by -6. -66300886/3 Divide -13672530 by 10. -1367253 21460056 divided by 174472 123 Divide 31 by -3775. -31/3775 110 divided by -42217 -110/42217 What is -168 divided by 2240578? -84/1120289 Calculate -208365 divided by 41673. -5 What is -3 divided by -3228860? 3/3228860 -5780 divided by -2237 5780/2237 What is 395447 divided by 2? 395447/2 Divide 1808 by 20863. 1808/20863 6831944 divided by -9 -6831944/9 What is -516760268 divided by -4? 129190067 1188757272 divided by 148594659 8 Divide -51404185 by 7. -7343455 Calculate -4006 divided by -3482. 2003/1741 -3 divided by -986165 3/986165 Divide 216083967 by -19643997. -11 Divide 242792438 by -219523. -1106 -10616610 divided by 145 -73218 Divide 646 by -1457176. -323/728588 -1936106 divided by -2 968053 -6722340 divided by 181 -37140 144351718 divided by -7 -20621674 Divide 16635937 by -119683. -139 Calculate -270 divided by -476342. 135/238171 Divide -6233469 by 10. -6233469/10 Divide 2581 by -6114. -2581/6114 Calculate -23238138 divided by 6. -3873023 What is -21407028 divided by 83? -257916 -10378693 divided by -247 42019 Calculate 32888695 divided by 35. 939677 Divide -7 by -30248407. 1/4321201 Divide 614305050 by -41. -14983050 Divide 68242608 by 252. 270804 Divide -2 by -129558804. 1/64779402 -64621579 divided by 649 -99571 What is 48248546 divided by 24124273? 2 -671784 divided by 671784 -1 What is -94321 divided by -40? 94321/40 49 divided by 1431271 49/1431271 Divide 121299282 by 3942. 30771 Calculate 764925 divided by 141. 5425 Divide 17734972 by -844. -21013 Divide 457242 by -40. -228621/20 2 divided by -1958697 -2/1958697 Divide 668104 by 29048. 23 What is -316270707 divided by -3? 105423569 Divide 481195783 by -241. -1996663 Calculate 71906068 divided by -4. -17976517 2677194 divided by 9 297466 33 divided by 275874 11/91958 Divide 164236424 by 188. 873598 Calculate -475858500 divided by -4758585. 100 49154950 divided by 50 983099 What is 361266900 divided by -15150? -23846 What is -10747450 divided by 30707? -350 Calculate 12675719 divided by 449. 28231 Calculate 10912250 divided by -50. -218245 Divide 5086602 by -3. -1695534 4801342 divided by 2294 2093 What is -1206880 divided by -80? 15086 Calculate 27529953 divided by 4749. 5797 278905640 divided by -10 -27890564 Divide -58343 by 1676. -58343/1676 What is 17610628 divided by -166138? -106 Divide 2837 by -62054. -2837/62054 -14115675 divided by -75 188209 Divide -114485770 by 57242885. -2 -56104 divided by 855 -56104/855 7470038 divided by 2 3735019 Divide 91063 by -33. -91063/33 Divide -44745150 by 44970. -995 Calculate -182372233 divided by -182372233. 1 What is 38 divided by 82361? 38/82361 5324019 divided by 141 37759 -123600 divided by 100 -1236 What is 19660 divided by -18259? -19660/18259 Divide -41810376 by -5226297. 8 Divide -23041276 by 23041276. -1 What is -31166811 divided by -5239? 5949 Divide -804494279 by -3. 804494279/3 -2615514 divided by -118887 22 6877773 divided by -982539 -7 Calculate 20722 divided by 732. 10361/366 Divide -4760983 by -1. 4760983 Calculate 97 divided by -140814. -97/140814 -349144290 divided by -11 31740390 Divide -412 by -318550. 206/159275 -3 divided by -110316669 1/36772223 34590000 divided by 864750 40 -3105758 divided by -1 3105758 Divide -10554603 by -620859. 17 3 divided by 33961257 1/11320419 Divide 2314997 by 162. 2314997/162 Calculate -7056959 divided by -13. 542843 Divide 0 by 3290547. 0 Calculate 5835626 divided by -122. -47833 Calculate -875114 divided by -21. 875114/21 852 divided by 14128 213/3532 -20575691 divided by -1 20575691 Divide -5118997 by -6. 5118997/6 Divide 3727 by 492. 3727/49
{ "pile_set_name": "DM Mathematics" }
*2/2 + 4*d - 949. Give 3*q(v) + 4*y(v). 9*v Let y(x) = 110*x + 9. Let n(b) = 329*b + 25. What is -6*n(m) + 17*y(m)? -104*m + 3 Let u(h) = 19*h - 1411 - 3*h**2 - 1388 + 0*h + 2822 - 5*h. Let w(i) = -i**2 + 5*i + 8. What is 6*u(m) - 17*w(m)? -m**2 - m + 2 Let q(j) = 11*j**3 - 9*j**2 + 9*j - 1. Let f(i) = -i**3 + i**2 - i. Suppose -104*l = -19*l + 170. What is l*q(k) - 18*f(k)? -4*k**3 + 2 Let y(a) = -a**3 + a**2. Let q(w) = w**2 - 28*w + 40. Let k be q(27). Let p(r) = -43*r**2 + 6*r**2 - 4*r**3 + k*r**2 + 32*r**3. What is -p(f) - 24*y(f)? -4*f**3 Let p(r) be the second derivative of -r**4/3 + r**3 - r**2 - 10185*r. Let m(d) = -d**2 - d. Calculate -3*m(f) + p(f). -f**2 + 9*f - 2 Let h(t) be the first derivative of -2*t**3/3 - t**2/2 + 6*t + 1134. Let g(c) = 1. What is -5*g(p) + h(p)? -2*p**2 - p + 1 Let d(g) = -g. Let u(r) = -2*r. Let h = -2 + 0. Let k be (25/40)/((945/(-35))/(-216)). Give h*u(w) + k*d(w). -w Let m = -77 - -73. Let k(w) = w + 13. Let f be k(-9). Let l = 2 - f. Let q(p) = -p**2 + 2*p + 1. Let g(c) = -c - 1. Give l*q(a) + m*g(a). 2*a**2 + 2 Let n(f) be the second derivative of f**5/20 + f**4/12 + f**3/2 - 3*f**2/2 + 1142*f + 3. Let g(s) = -2*s**3 - s**2 - 4*s + 4. What is 2*g(o) + 3*n(o)? -o**3 + o**2 + o - 1 Let c(w) = w. Suppose 88 - 102 = 14*j. Suppose -8 = 4*l - 5*l - 3*s, 2*l - 15 = -5*s. Let f(y) = 2*y + 2. Calculate j*f(k) + l*c(k). 3*k - 2 Let v(n) = 6625*n**2 + 18*n + 45. Let u(t) = 1656*t**2 + 4*t + 10. Determine -9*u(f) + 2*v(f). -1654*f**2 Let j(u) be the second derivative of -343*u**3/6 + 2*u - 621. Let d(h) = 9*h. Determine -77*d(y) - 2*j(y). -7*y Let o(g) = -3*g - 2. Let d(t) = -1. Let j(n) = -71*n + 2486. Let z be j(35). Give z*o(a) - 6*d(a). -3*a + 4 Let y(h) = 2*h - 1. Let m(w) = -137*w - 8. Let r(a) = 97*a + 6. Let l(c) = -5*m(c) - 7*r(c). What is 6*l(u) - 17*y(u)? 2*u + 5 Let k(w) = 59. Let d(n) = -49. Let s(y) = -6*d(y) - 5*k(y). Let q(i) = -2*i**2 - 4*i + 8. Give -q(j) - 10*s(j). 2*j**2 + 4*j + 2 Let s(z) = 2*z**2 + 9*z + 3. Let x(t) = 211*t**2 - 5 + 36*t - t**3 - 227*t**2 + 0*t. Let o be x(-18). Let m(c) = -c**2 - 4*c - 1. Determine o*m(k) - 2*s(k). k**2 + 2*k - 1 Let b(u) be the first derivative of u**2/2 - 3*u - 9712. Let k(t) = -3*t + 6. What is -5*b(g) - 2*k(g)? g + 3 Let s(m) = -m**2 + m + 1. Let x(f) be the second derivative of -5*f**4/12 + 4*f**3/3 + 7*f**2/2 - 584*f. What is 6*s(h) - x(h)? -h**2 - 2*h - 1 Let k(r) = -22*r + 4. Let l(d) be the third derivative of -23*d**4/24 + 5*d**3/6 + 554*d**2 - d. Determine -5*k(f) + 4*l(f). 18*f Let y(b) = 2866*b + 161. Let w(q) = 2865*q + 188. Give -6*w(f) + 7*y(f). 2872*f - 1 Let i(g) = -24 + 121 - 25 - 21 - 21 - 28. Let w(d) = d**2 + 1. Let v = 2 + -5. Give v*i(s) + 6*w(s). 6*s**2 Let k(g) = g**3. Let l(r) = -6*r - 51. Let p be l(-9). Let u(x) = 3*x**p - 4*x**3 + 7*x**3 - 4*x**3. Let f be -1 + 6 - (-1 + 1). Calculate f*k(q) - 4*u(q). -3*q**3 Let n(p) = 9*p - 53. Let t be n(10). Suppose 8*d + t = 5. Let w(i) = 5*i**2 - 6*i - 2. Let j(y) = 4*y**2 - 5*y - 2. Determine d*j(b) + 3*w(b). -b**2 + 2*b + 2 Let c(u) = -7*u**2 - 5*u. Let s = -57 + 54. Let t(v) = -8*v**2 - 4*v. Calculate s*c(a) + 4*t(a). -11*a**2 - a Suppose f + 2*r = -1, 39*f - 42*f + r = 24. Let c(i) = i**2 - 3*i - 2. Let q(m) = -2*m**2 + 6*m + 5. What is f*c(l) - 3*q(l)? -l**2 + 3*l - 1 Let q(t) = 5*t + 5 + 10 - t + 8 - 19. Let u(m) = 5*m + 5. Let l = -13 - -11. Let b be 1/l - 9/6. Calculate b*u(o) + 3*q(o). 2*o + 2 Let s(j) = 19*j - 1319. Let i(x) = -21*x + 1323. Determine -9*i(v) - 10*s(v). -v + 1283 Let c(u) = u**3 - 10*u**2 + 2*u + 112. Let k be c(5). Let h(n) = -n**2 - n. Let z(y) = -y**2 - 18*y - 2. What is k*h(a) + z(a)? 2*a**2 - 15*a - 2 Let i(t) = -8*t + 13*t + 5 - 19*t. Let j(z) = 13*z - 4. Let u(v) = 2*v**3 - 25*v**2 - 13*v + 4. Let x be u(13). Determine x*i(d) + 5*j(d). 9*d Let o(v) = -194*v**2 - 8*v + 5. Let a(t) = 292*t**2 + 11*t - 7. Calculate 5*a(l) + 7*o(l). 102*l**2 - l Suppose 308 - 290 = -k - 2*k. Let z(o) = -6*o + 4. Let b(w) = -13*w + 7. Determine k*b(j) + 10*z(j). 18*j - 2 Let x(n) = -7*n - 7*n + 21*n + 2*n + 3 + n. Let q(f) = -13*f - 9. Let d(g) = 20*g + 13. Let t(k) = -5*d(k) - 7*q(k). What is -3*t(y) - 2*x(y)? 7*y Let o(w) be the first derivative of -3*w**4/4 + 2*w**3/3 - 2*w - 2922. Let k(j) = -4*j**3 + 3*j**2 - 1. Determine -4*k(r) + 5*o(r). r**3 - 2*r**2 - 6 Let z(g) = 8*g**2 + 2*g. Let l = -259 - -259. Suppose 10 = 5*y + 3*w, l*y = y + 5*w - 2. Let d(v) = -9*v**2 - 3*v. Calculate y*d(b) + 3*z(b). 6*b**2 Let q(r) = -9*r**3 - 3*r**2 - 3*r + 3. Let a(l) be the first derivative of 4*l - 134 - 2*l**2 - 9/4*l**4 - 4/3*l**3. Give -3*a(u) + 4*q(u). -9*u**3 Let s(a) = -a**3 - 3*a**2. Let y(i) = 4*i**3 + 23*i**2 + 2*i + 2. Determine -3*s(w) + y(w). 7*w**3 + 32*w**2 + 2*w + 2 Let p(d) = -d**2 - 2. Let j(f) = 480*f**2 - 576. Determine 4*j(i) - 1152*p(i). 3072*i**2 Let i(y) = 13*y**3 - 6*y**2 + 6. Let q = 42 - 36. Let t(j) = 46*j**2 - 12 + 42*j**2 - 105*j**3 + 0 - 39*j**2 - 37. Determine q*t(v) + 49*i(v). 7*v**3 Let k(n) = -3*n**2 - 2*n + 5. Let p(q) = -10*q**2 + 5*q**2 - 5 + 8*q + 6*q**2. Let b be p(0). Let v(u) = -4*u**2 - 3*u + 6. Give b*k(s) + 4*v(s). -s**2 - 2*s - 1 Let a(u) = -2*u**3 - 6*u**2 + 7*u + 8. Let x(j) = -j**3 - 5*j**2 + 6*j + 7. Let h be (4/(8 - 0)*2)/(-1). Let y be 20/2*((-16)/10 - h). Give y*a(w) + 7*x(w). 5*w**3 + w**2 + 1 Let p(m) = 4*m**2 + 3. Let o(v) = v**3 + 20*v**2 + 15*v - 87. Let z be o(-19). Let h(q) = -19*q**2 - 15. What is z*p(g) - 2*h(g)? -6*g**2 - 3 Suppose -4*i = -4*q - 64, -94*q = -92*q + 6*i - 8. Let p(k) = 5*k. Let v(y) be the second derivative of -25*y**3/6 - y**2/2 + 16*y. Give q*p(s) - 2*v(s). -5*s + 2 Let t(l) = l**2 - 178547153*l**3 + 3 + l - l**2 + 178547152*l**3 - 3. Suppose -5*h - 10 = -0*h. Let p(d) = 3*d**3 + 2*d. Calculate h*t(n) + p(n). 5*n**3 Let v(m) = 5*m - 59. Let s be v(14). Let p(n) = 3*n**2 + 7*n - 8. Let g(k) = -6*k**2 - 13*k + 15. Determine s*p(o) + 6*g(o). -3*o**2 - o + 2 Let i(s) = 5*s**2 + 2*s - 1. Let u(q) be the third derivative of -1/6*q**3 - 3*q**2 + 1/8*q**4 + 1/15*q**5 - 15 + 0*q. Give 2*i(k) - 3*u(k). -2*k**2 - 5*k + 1 Let c(t) = -t - 6*t**3 + 10*t**3 + 3 - t**3 + 8*t + 1. Let y(s) = s**3 + 3*s + 2. Calculate 4*c(p) - 10*y(p). 2*p**3 - 2*p - 4 Let r(f) = 6*f**3 + 176*f - 2904. Let u(g) = 2*g**3 + 55*g - 968. Give -5*r(j) + 16*u(j). 2*j**3 - 968 Let o(y) = 316*y**2 + 18*y - 110. Let n(k) = 158*k**2 + 8*k - 49. Calculate -9*n(m) + 4*o(m). -158*m**2 + 1 Let m(g) = -2*g**2 + 2*g + 1. Let k(j) = 6*j + 37. Let b be k(8). Let l(c) = 3*c + 80*c**2 + b*c**2 + 2 - 168*c**2. Determine -6*l(n) + 10*m(n). -2*n**2 + 2*n - 2 Let d(b) = 8329*b. Let j(q) = -266526*q. Give 65*d(n) + 2*j(n). 8333*n Let t(j) = -20*j**3 - 31*j**2 - 6. Let m(h) = 10*h**3 + 17*h**2 + 3. Give -7*m(w) - 3*t(w). -10*w**3 - 26*w**2 - 3 Let m(u) = -134*u + 26. Let s(b) = -b - 4. Determine m(w) + 6*s(w). -140*w + 2 Let y(a) = -a - 102. Let p(f) = -477*f + 101. Determine -p(u) - y(u). 478*u + 1 Let u(x) = -x**2 - x + 1. Let z(i) be the first derivative of i**4 - 2*i**3 - 7*i**2/2 + 5*i - 2837. Calculate 6*u(j) - z(j). -4*j**3 + j + 1 Let t(l) = 3*l**2 - 44*l + 16. Let v(b) = b**2 - 7*b - 12. Give -t(y) + 4*v(y). y**2 + 16*y - 64 Let y(k) = k**3 - k - 5. Let u(f) = -1919*f**3 - 5*f - 25. Determine -u(r) + 5*y(r). 1924*r**3 Let z(k) = k**2. Let a(p) = -2*p**2 + 2*p - 1. Let m = 10342 + -10346. What is m*z(t) - a(t)? -2*t**2 - 2*t + 1 Let h(t) = 5*t. Let u(i) = 81*i. Give -20*h(b) + 5*u(b). 305*b Let u(b) = -4*b + 27. Let c(a) = -6*a + 26. Calculate -6*c(o) + 7*u(o). 8*o + 33 Let t(w) = -1034*w**2 - 50*w - 8. Let n(v) = 1036*v**2 + 45*v + 8. Determine -10*n(q) - 9*t(q). -1054*q**2 - 8 Let o(v) = -v**2 + 1. Suppose 6*a + 2 + 4 = 0. Let b(j) be the second derivative of j**2/2 - 68*j. Calculate a*o(s) + b(s). s**2 Let c = -1373 + 1378. Let a(f) = 17*f - 5. Let o(p) = -18*p + 6. Calculate c*o(l) + 6*a(l). 12*l Suppose 4*i + 256 = 8*i. Let d = -68 + i. Let y(p) = p + 3. Let g(q) = -1. Let c(a) = -a + 4. Let s(z) = c(z) + 5*g(z). Give d*s(k) - y(k). 3*k + 1 Let l(n) = 57*n**2 + 4*n + 4. Let q(r) = 113*r**2 + 7*r + 7. Suppose -4*d + 22 = c, -37 = 49*d - 50*d + 5*c. Give d*l(w) - 4*q(w). -53*w**2 Let m(r) = -r**3 + 17*r**2 - 15*r - 10. Let n be m(16). Let d(l) = -5*l - n
{ "pile_set_name": "DM Mathematics" }
c**2 + 497263 Let o(z) = -22*z. Let b(g) be the second derivative of 0*g**2 - 5/4*g**4 - g + 58 + 0*g**3. What is b(o(u))? -7260*u**2 Let r(w) = -749*w + 4. Let o(i) = 72*i. What is r(o(u))? -53928*u + 4 Let p(j) = -2. Let g(q) = -q - 12. Suppose 0 = -9*x + 43 + 11. Let b(a) = x*p(a) - g(a). Let d(n) = -23*n. Calculate b(d(w)). -23*w Let z(n) = 88*n**2 - 221*n**2 + 46*n**2 + 86*n**2. Let c(w) = -7*w - 346. Determine c(z(p)). 7*p**2 - 346 Let u(i) = 20*i - 60. Let o(m) = 1123*m. Determine o(u(k)). 22460*k - 67380 Let n(k) be the first derivative of 39*k**2/2 - 90. Let u(v) = -v - 25. Let m(f) = -f - 20. Let c(b) = -5*m(b) + 4*u(b). Give c(n(g)). 39*g Let f(h) = -40953*h + 1656. Let b(y) = 2*y. What is f(b(r))? -81906*r + 1656 Let s = 287 + -196. Let z(a) = 48 - s + 43 + a. Let i(w) = 39*w. What is z(i(r))? 39*r Let h(g) = -3568*g - 2. Let v(c) be the second derivative of -c**3/3 - 2086*c - 1. Give h(v(p)). 7136*p - 2 Let m(z) = 141516*z**2. Let k(h) = -5*h**2. Give m(k(d)). 3537900*d**4 Let q(j) = -2191*j - 8. Let h(v) = -2184433*v - 7974. Let w(n) = 4*h(n) - 3987*q(n). Let b(i) = -2*i**2. Determine w(b(p)). 4430*p**2 Suppose 4*a = 2*b + 2 + 10, 4*a = 16. Let t(r) = -14*r + 18*r**2 + 15*r - 17*r**b. Let s(l) = 3*l. Give t(s(j)). 9*j**2 + 3*j Let z(j) = 77*j**2 - 5*j. Let t(k) = -3810*k + 1269*k + 1271*k + 1263*k. Give z(t(w)). 3773*w**2 + 35*w Let m(h) be the second derivative of -2*h**3/3 + 7948*h. Let y(g) = -g**2 - 1143*g. Calculate m(y(j)). 4*j**2 + 4572*j Let a(l) = -l**2. Let f(n) be the third derivative of n**7/30 - n**5/20 + n**4/6 + 30*n**2 - 1. Let k(w) be the third derivative of f(w). Calculate k(a(t)). -168*t**2 Let p(i) = -5*i**2 - 45. Let q(k) = -4*k - 24. Let u(v) = -12. Let f(d) = q(d) - 2*u(d). Give f(p(n)). 20*n**2 + 180 Let f(q) = -4*q**2 + 4. Let m(t) = -212951*t. Determine m(f(l)). 851804*l**2 - 851804 Let p(u) = -20763321*u. Let h(b) = -4*b. Give h(p(q)). 83053284*q Let f(t) be the second derivative of 29*t**4/3 - 2*t - 687. Let c(w) be the second derivative of w**4/3 - 17*w. What is f(c(b))? 1856*b**4 Let m(o) be the first derivative of 57*o**2/2 + 2842. Let b(a) = 36*a. Give b(m(z)). 2052*z Let l(a) = 5*a**2. Let u(k) = 197034972*k**2. Determine u(l(y)). 4925874300*y**4 Let j(s) be the second derivative of -s**3 - s**2/2 + 4034*s. Let u(f) = -8*f**2. What is j(u(h))? 48*h**2 - 1 Let f(k) = -35*k**2. Let h(z) = -1297678*z. Give h(f(g)). 45418730*g**2 Let i(h) = 365*h**2 - 35*h + 35. Let m(d) = -31*d**2 + 3*d - 3. Let v(f) = -3*i(f) - 35*m(f). Let s(a) = -51*a**2. Determine v(s(j)). -26010*j**4 Let m(x) = -3*x**2 - 716*x - 1. Let w(l) = l - 2. Determine w(m(c)). -3*c**2 - 716*c - 3 Let d(k) = 35*k. Let u(t) = -1215929*t. Give u(d(o)). -42557515*o Let n(x) be the second derivative of 13*x**3/3 + x**2 - 7465*x. Let v(g) = -g + 4*g - g. Determine n(v(d)). 52*d + 2 Let z(y) = -y + 1. Let p(k) be the third derivative of k**4/8 - k**3/6 - 50*k**2. Let w(t) = 3*p(t) + 8*z(t). Let c(o) = o**2. Give w(c(q)). q**2 + 5 Let g(u) = 2*u + 2. Suppose -4*p + 4*k - 8 - 4 = 0, p + k - 5 = 0. Let b(v) = 8*v + 10. Let z(x) = p*b(x) - 5*g(x). Let i(n) = 3*n**2 - 12*n. Calculate z(i(o)). -6*o**2 + 24*o Let n(f) = -9*f**2. Let k(x) = 73059*x**2 - x. Calculate k(n(p)). 5917779*p**4 + 9*p**2 Let c(j) = 10*j**2. Let z be (208 - 208)/(-2 + 0 + -8). Let a(k) be the second derivative of 0 + z*k**2 + 1/6*k**3 - 2*k. Calculate a(c(o)). 10*o**2 Let s(d) = 4*d. Suppose 12 = -0*l + 4*l. Let c(x) = -1654*x + l*x**2 + 1654*x. What is c(s(o))? 48*o**2 Let u(g) = 238*g**2. Let j(y) be the second derivative of 7*y**3 - 11*y + 219. Calculate u(j(h)). 419832*h**2 Let c(j) = -195*j**2 + 1. Let t(a) = 42*a - 255. Let h(r) = 3*r - 17. Let q(o) = -15*h(o) + t(o). Determine q(c(v)). 585*v**2 - 3 Let i(x) = -50*x**2. Let z(y) = 752695*y. What is i(z(s))? -28327488151250*s**2 Let g(i) be the second derivative of i**3/6 - i. Let c(w) be the second derivative of 49*w**4/12 - 117462*w. Give g(c(r)). 49*r**2 Let k(m) = -39*m. Let g(l) be the first derivative of -7*l**2/2 - 366. Give k(g(i)). 273*i Let z(f) = 25*f**2. Let v(q) = -q + 36. Let m be v(30). Let j(k) = -2*k**2 + 3. Let w(x) = -2*x**2 + 2. Let l(i) = m*w(i) - 4*j(i). Calculate z(l(b)). 400*b**4 Let a(m) = 11*m**2. Let b(n) be the third derivative of 0*n + 0*n**4 + 0 + 0*n**3 + 296*n**2 + 7/60*n**5. Determine a(b(v)). 539*v**4 Let c(r) = -3*r. Let h(d) = -36027106*d**2 + 29346*d + 14673. Let k(u) = -4911*u**2 + 4*u + 2. Let l(i) = -2*h(i) + 14673*k(i). What is l(c(m))? -44019*m**2 Let z(i) = i**2. Let x(w) = -1543432*w. Give z(x(d)). 2382182338624*d**2 Let q(u) = 20*u. Let z(j) be the first derivative of -j**6/180 + 11*j**3/3 - j**2/2 - 1. Let t(p) be the third derivative of z(p). Determine q(t(i)). -40*i**2 Let p(x) = 3*x**2 + 4*x. Let l(b) = 4*b**2 + 3*b + 3. Let t(v) = 3*v**2 + 2*v + 2. Let z be (9 - 10)/(3/9). Let n(g) = z*t(g) + 2*l(g). What is n(p(d))? -9*d**4 - 24*d**3 - 16*d**2 Let z(w) = 35323*w**2 + 1 - 1 - 40588*w**2. Let t(l) = -4*l**2. What is t(z(y))? -110880900*y**4 Let o(c) = -4*c**2. Let t(d) = -d**2. Let l(w) = -o(w) + 2*t(w). Let f(q) be the second derivative of 25*q**3/6 - 133*q. Calculate l(f(z)). 1250*z**2 Let g(s) be the first derivative of s**3/3 + 35. Let o(r) be the second derivative of 11/2*r**3 + 0 + 7*r + 0*r**2. What is g(o(z))? 1089*z**2 Let q(p) = -p + 38. Let g(x) = -92*x + 420. Let i(w) = 4*w - 21. Let h(n) = -g(n) - 20*i(n). Give q(h(z)). -12*z + 38 Let p(d) be the second derivative of d**4/6 + 69*d**3/2 + 7*d - 4. Let j(w) = -w**2. Give p(j(y)). 2*y**4 - 207*y**2 Let p(n) = 15*n**2. Let o(q) = -2*q**2 + 3*q + 3. Let j(f) = 4*f**2 - 5*f - 5. Let v = -100 - -97. Let k(u) = v*j(u) - 5*o(u). What is k(p(h))? -450*h**4 Let t(o) = -19270*o**2. Let g(z) = 568*z**2. Give t(g(m)). -6216964480*m**4 Let q(y) = 144*y**2 - 304*y**2 + 181*y**2. Let o(d) = 93*d. Determine q(o(x)). 181629*x**2 Let m(u) = u - 1. Let f(i) = 13238*i**2 - 2*i. Calculate m(f(l)). 13238*l**2 - 2*l - 1 Let m(o) = 4*o - 16. Let v(u) = -242*u - 25. Calculate m(v(g)). -968*g - 116 Let a(i) = 64 - 135 + 3*i + 66. Let k(x) = -2*x - 1. Let n(z) = 7*z + 2. Let b(p) = -2*k(p) - n(p). Calculate b(a(l)). -9*l + 15 Let q(y) = 4*y - 55. Let a(b) = 11*b - 160. Suppose 6*r = 2*w + 5*r + 11, -2*w = 4*r - 14. Let t(h) = w*a(h) + 8*q(h). Let o(s) = -2*s. What is t(o(l))? 2*l + 40 Let d(p) be the first derivative of p**6/60 - p**3/3 + 6*p**2 + 92. Let b(u) be the third derivative of d(u). Let l(v) = -17*v**2. Calculate b(l(q)). 1734*q**4 Let b(h) = 2*h - 1. Let q(v) = -v**2 - 6*v + 3. Let m(f) = 3*b(f) + q(f). Let s(r) = 722*r**2 + 1. What is m(s(o))? -521284*o**4 - 1444*o**2 - 1 Let b(l) = -34*l**2 - 14. Let c(a) = 50*a**2 + 21. Let m(q) = -3*b(q) - 2*c(q). Let u(j) = 10850*j**2. Calculate u(m(o)). 43400*o**4 Let b(u) = -28*u. Let c(v) = -7*v - 86771. What is c(b(q))? 196*q - 86771 Let r(p) = 3848*p**2 + 4*p. Let z(i) = 1271*i. Calculate z(r(j)). 4890808*j**2 + 5084*j Let l(g) = -g. Let k(x) = -3 - 54*x + 3 - 3*x**2 + 12*x**2 + 48*x. What is l(k(j))? -9*j**2 + 6*j Let l(o) = -2*o + 24042. Let y(r) = 30*r - 218. Calculate l(y(h)). -60*h + 24478 Let t(x) be the first derivative of 1957*x**2/2 - 4200. Let g(s) = 2*s**2. Calculate t(g(p)). 3914*p**2 Let m(i) = -i + 1. Let a(r) = -22*r + 11. Let u(w) = -a(w) + 11*m(w). Let t be -28*((-6)/(-27) + 93/(-54)). Let c(d) = -t + 3*d - 36 + 78. Give c(u(q)). 33*q Let c(m) = -24711*m - 3. Let g(t) = t + 15. Calculate c(g(q)). -24711*q - 370668 Let m(l) = 62*l**2 - 152*l**2 + 86*l**2. Let y(i) = 2*i**2 - 74. Give y(m(o)). 32*o**4 - 74 Let v(f) = -2*f**2. Let c(a) be the third derivative of 89*a**5/24 + 67*a**3/2 - 171*a**2. Let t(w) be the first derivative of c(w). What is t(v(b))? -890*b**2 Let d(j) = 2*j**2. Let v(p) = -62245237*p. Calculate v(d(x)). -124490474*x**2 Let z(o) = -225305*o. Let q(d) = 23*d**2. What is q(z(m))? 1167533889575*m**2 Let j(s) = -20*s + 10*s - 5*s**2 + 10*s. Suppose 0 = -5*b + 56 - 11. Let f(z) = -b*z - 4*z**2 + 22*z - 13*z. Calculate f(j(m)). -100*m**4 Let k(n) = -248*n**2 + 2 - 2*n + 983*n**2 - 2 - 184*n**2. Let l(r) = 9*r**2. What is k(l(i))? 44631*i**4 - 18*i**2 Let p(w) be the second derivative of -w**3 + 1309*w. Let x(r) = -267*r. Determine p(x(k)). 1602*k Let b(
{ "pile_set_name": "DM Mathematics" }
5) + 0))**2. 354816*sqrt(2) + 972864 Simplify ((sqrt(153) - (sqrt(153) + -2*sqrt(153) + 5)) + -3 + -4 + 1 + 6*(sqrt(153)*-2 + 0))**2. 660*sqrt(17) + 15421 Simplify 1 + -5 + sqrt(1584)*-3 + (sqrt(77) - -2*sqrt(77)*1)/(sqrt(112)*1). -141*sqrt(11)/4 - 4 Simplify -5*sqrt(75) + sqrt(1215)/sqrt(5) - ((2*sqrt(75) - sqrt(75))*2 + -2)**2. -304 + 24*sqrt(3) Simplify (-3*sqrt(133)*-4)/(sqrt(252)/sqrt(4)) + (2*(sqrt(931) - (sqrt(931) + sqrt(931) + 0)) - (1 + sqrt(931))*3)**2 + -5. 214*sqrt(19) + 23279 Simplify (6*1*4*sqrt(2178))/((sqrt(12) + 6*sqrt(36)/sqrt(3) + sqrt(12) + sqrt(12))/(sqrt(2) - 4*sqrt(32))). -440*sqrt(3) Simplify 2 + (sqrt(380)/sqrt(160) + sqrt(152)/(sqrt(4)*1))/((sqrt(132)/sqrt(6)*4)/sqrt(11)). 5*sqrt(19)/16 + 2 Simplify ((sqrt(85)*1*1 + 3*2*sqrt(85))*3)/((sqrt(125)/sqrt(80))/(sqrt(5) + (sqrt(5) - sqrt(10)/(1*sqrt(2))))). 84*sqrt(17) Simplify (3*(2*sqrt(78) - sqrt(78)) + sqrt(78) - (sqrt(78) - sqrt(78)*1)*-1)/(-3*(sqrt(150) + 3*sqrt(150) + sqrt(150))) + 4. -4*sqrt(13)/75 + 4 Simplify (-3*sqrt(2673)/sqrt(3)*5 - -2*(4 + sqrt(121)/sqrt(11))*2)**2. -4192*sqrt(11) + 189027 Simplify ((-3*sqrt(450)*1 - sqrt(450))*-2)/(-2*(1*sqrt(72)*2)/sqrt(8)). -10*sqrt(2) Simplify (sqrt(245) + (3 + 1 + sqrt(245))**2)*4 + 5 + ((sqrt(245) + 2 + 4)**2 - (2 + sqrt(245))**2*-1)*6. 924*sqrt(5) + 4229 Simplify -4 + (sqrt(242)*3 + 0 - (sqrt(8) + 0 + 0 + 1*sqrt(2))) + 0. -4 + 30*sqrt(2) Simplify ((-3*sqrt(152)/sqrt(8) + 4)**2 + ((sqrt(2736) - 3*sqrt(2736))*-4)**2)*2. -48*sqrt(19) + 350582 Simplify -5*6*((sqrt(252) - (sqrt(252) + -2*sqrt(252) + sqrt(252))) + -5)*2*-2. -600 + 720*sqrt(7) Simplify (2 + 4*sqrt(19) + 3*(sqrt(19) + sqrt(2299) - sqrt(19)) + (3*sqrt(228)*2)/((sqrt(12) - sqrt(48))*-2))**2. 160*sqrt(19) + 30404 Simplify ((sqrt(56)/(sqrt(32) - sqrt(8)))**2 + (sqrt(77)*2)/sqrt(11) - (5 + 3 + sqrt(448))) + 1. -6*sqrt(7) Simplify (0 + 5 + (sqrt(448) - -2*sqrt(448)) + -4 + sqrt(700) + -3 + -5)**2 + -4. -476*sqrt(7) + 8137 Simplify -1 + (3 + 2*sqrt(112))**2 - ((3*sqrt(1372) - sqrt(1372))**2 - (-3*sqrt(112))/sqrt(4)). -5032 + 42*sqrt(7) Simplify (-6*(-2*sqrt(108)*4*1 + (sqrt(108)*2 + 2 - 3*(sqrt(108) + 2)) + 4))**2. 314928 Simplify (-3*sqrt(147) + sqrt(3) + (sqrt(3) - (sqrt(12)*-1)**2) + 1 + (sqrt(24)/sqrt(8)*6 + -4)**2)*-5. -565 + 335*sqrt(3) Simplify (((sqrt(121) - 1*sqrt(121))*-3)/(sqrt(704) + (sqrt(704) - sqrt(704)*-2)) - (0 + 6*sqrt(550)/sqrt(2)))**2. 9900 Simplify -4 + sqrt(119)/(sqrt(1764)/sqrt(7)) + (-3 + sqrt(17) + 3 - (sqrt(17)*-4 + -2)). -2 + 31*sqrt(17)/6 Simplify (6*-3*(-1 + sqrt(448)) + (sqrt(448)*2 + -1 - sqrt(448)) + 1 + 3)**2*-6. -779478 + 34272*sqrt(7) Simplify (((4*-1*sqrt(72))/sqrt(12)*3)/((4*sqrt(8)/sqrt(4) + sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(18)*-1))**2. 108 Simplify -4*(-2*(5*sqrt(242)*-2)**2 + -1 - 3*(0 + (sqrt(242) + 2*(sqrt(242) + -2) - sqrt(242))**2)). -2112*sqrt(2) + 205412 Simplify (-2*sqrt(143)*-6*1)/(-4*sqrt(88)/sqrt(2)). -3*sqrt(13)/2 Simplify 3 + -6*3*5*(((sqrt(192) + 1 + sqrt(192))*2)**2 - (-4 + (0 + sqrt(192))**2)). -259917 - 11520*sqrt(3) Simplify ((sqrt(3388)*1)/(sqrt(576)*4))**2 - (3*sqrt(63)/(sqrt(225) - (sqrt(225) + (2*sqrt(225) + sqrt(225) - sqrt(225)))) + 0). 847/2304 + 3*sqrt(7)/10 Simplify -5*(-1 + -3 + -1*-2*sqrt(396) + (0 + sqrt(396))*-2 + -2 + 2)**2. -80 Simplify (sqrt(275)/(sqrt(60)/(sqrt(12) + sqrt(24)/sqrt(2) - sqrt(12)))*-4)/(sqrt(80)*3 - sqrt(5) - (sqrt(125)*-1 + sqrt(125))). -4*sqrt(11)/11 Simplify (-6*sqrt(4032)*2 + 0 - (5*(sqrt(1008) + 0) + 5)**2)*6. -151350 - 5328*sqrt(7) Simplify (sqrt(20) + 0 + -2 + 0 + -1*sqrt(20) + (sqrt(30) - (sqrt(30) - sqrt(270)*-1 - sqrt(30)))/(-1*sqrt(18)/sqrt(3)))*5. -10 + 10*sqrt(5) Simplify (4*3*(6*sqrt(245)*-2*6 + -1*(sqrt(245) - (5 + sqrt(245) + 0))))**2. -725760*sqrt(5) + 182895120 Simplify (1*(sqrt(1216) - (sqrt(1216) + 1 + 1)) + 2)**2 - ((-4*(2*sqrt(152) + sqrt(152)))/(sqrt(968)*-1) + 2). -12*sqrt(19)/11 - 2 Simplify ((sqrt(66) - (-2*sqrt(66) - sqrt(66)))*3 - 4*-2*sqrt(66))/(sqrt(24) - -3*(sqrt(24) - sqrt(1176))) + -2. -2 - 10*sqrt(11)/17 Simplify 4*(-5 + (-3 + 1 + sqrt(76) - (sqrt(76) + ((sqrt(76) + 0 - sqrt(76)) + sqrt(76))*-1)**2))*2*2. -112 + 32*sqrt(19) Simplify (2 + -1 + 3*sqrt(176) + sqrt(176))**2 - (sqrt(11) - (-4 + sqrt(11))*-1 - -1*(sqrt(11) - (sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11))**2)). 29*sqrt(11) + 2920 Simplify (sqrt(1539) - (-6*sqrt(1539)*-3)**2) + sqrt(1539) + 0 + ((1 + (2 + sqrt(19) - sqrt(19)) + 5)*-4)**2 + -2. -497614 + 18*sqrt(19) Simplify (4*((3*sqrt(104))/sqrt(8))**2*5 - (sqrt(13)*-1 + 1 + 2 + -2))*1. sqrt(13) + 2339 Simplify -1*((sqrt(77) + 2*sqrt(77)*-5)*6)/((-5*(sqrt(99) + 2*sqrt(99) - sqrt(99)) + sqrt(99) + sqrt(99))/sqrt(9)). -27*sqrt(7)/4 Simplify (((0 + sqrt(1088))*-6 + sqrt(1088) - (-4 + sqrt(1088)*1)) + 5 + (sqrt(1088) + 1)*1*1 + -3 + 0)**2. -560*sqrt(17) + 27249 Simplify 1*sqrt(152)/(sqrt(8) + (sqrt(512) - (sqrt(512) - 4*sqrt(512))) + sqrt(8)) + (-5*4*sqrt(475) + 2)**2. -13599*sqrt(19)/34 + 190004 Simplify -2*2*-4*(-3 + (sqrt(1088) + sqrt(1088)*-3 + 1 + sqrt(1088))**2)*2. -512*sqrt(17) + 34752 Simplify (-6*(sqrt(5) - sqrt(55)/sqrt(11))**2 + (sqrt(180)*-4)**2 - ((sqrt(5) - (sqrt(5) - sqrt(540)/sqrt(12) - sqrt(5))) + sqrt(560)/sqrt(7) + 3)**2)*2. -96*sqrt(5) + 5102 Simplify 4 + (((sqrt(108)*2 + sqrt(108))/sqrt(4)*-5)/(-2*3*sqrt(1296) - sqrt(1296)))**2. 3211/784 Simplify ((2*sqrt(80)*-2 + -5)*-4 + -3 + 6*sqrt(50)/(sqrt(40) + sqrt(200)/sqrt(5)))**2. 2227*sqrt(5) + 86961/4 Simplify (-2*((sqrt(660)/sqrt(108) - sqrt(55))*-5)/((sqrt(500) + sqrt(500)*4 + sqrt(500))*3))**2 + 4. 2927/729 Simplify ((sqrt(36)/(sqrt(24)/(sqrt(8)*5) - sqrt(3)))/(-5*sqrt(486)*6))**2. 1/23328 Simplify 2*((sqrt(112)*-2 - sqrt(112)) + -4 + -5 + (4*(5*sqrt(28)/sqrt(4) - (sqrt(7) + sqrt(112) + -1)))**2) + 4. -24*sqrt(7) + 18 Simplify (2*-5*(-6*(2*sqrt(91) + sqrt(91)) + sqrt(91) + sqrt(91)*-2*-2 + sqrt(91)))/(6*((sqrt(343) - 2*sqrt(343))*2 - (sqrt(343)*-2*2 - sqrt(343)))). 20*sqrt(13)/21 Simplify (sqrt(190)/(sqrt(20)/sqrt(2)) + (sqrt(171) - sqrt(19)) + 3)*4 - (3 + 3 + sqrt(304) + -1). 7 + 8*sqrt(19) Simplify (-5 + ((sqrt(243) + 1 + -2)**2 - sqrt(243))*-5*4 + -4)*-1*2. -1080*sqrt(3) + 9778 Simplify ((-1 + (sqrt(605) + -2 + sqrt(605) - sqrt(605)) - (sqrt(605) - (0 + sqrt(605)))*-1)**2 - ((2*(sqrt(605) + 3))**2 + (sqrt(605) + -3)*4)) + 4. -1826 - 374*sqrt(5) Simplify sqrt(1053)*-2*2 + -4 - (sqrt(13) + (sqrt(13) - (sqrt(13) + (3*sqrt(13) + 5 - sqrt(13)) + sqrt(13) + sqrt(13))**2) - (sqrt(13) - sqrt(832)*-4)). 45*sqrt(13) + 346 Simplify ((2*sqrt(180)*-1)/((-1*sqrt(132))/sqrt(11)))/(1*-1*sqrt(500) + sqrt(500) + (sqrt(500) - ((-2*sqrt(500) + sqrt(500))*-1 - sqrt(500) - sqrt(500)))). sqrt(3)/10 Simplify sqrt(2) + -4 + 3 + sqrt(16)/(-4*sqrt(8)) - ((sqrt(882) - (1 + sqrt(882)))*-5)**2. -26 + 3*sqrt(2)/4 Simplify -4 + -5 + (sqrt(28)/(-2*sqrt(4)*2))**2 + ((sqrt(294)/(sqrt(28)/sqrt(4)))/(-5*sqrt(18)/sqrt(3)))**2. -3313/400 Simplify (-3 + (sqrt(448) - (4*(sqrt(448) + -1 - sqrt(448)) + sqrt(448))) + -5 - ((-2 + sqrt(448) - sqrt(448))*4*2 + 5))**2. 49 Simplify 5 + -1*(-2 + sqrt(432))*5 + 1*(-1 + sqrt(432)) + 2. -48*sqrt(3) + 16 Simplify -3 + ((sqrt(66) + (sqrt(66) - (-1*sqrt(66) + sqrt(66))))*-4 + (sqrt(66) + sqrt(66)*1)*1)/(sqrt(1944) + 3*sqrt(1944))*6. -3 - sqrt(11)/2 Simplify (-1*((sqrt(147)*-1 - (4 + sqrt(3)*-2)) + sqrt(600)/sqrt(8) + -1))**2*-4. -100 Simplify (-6*(sqrt(1088) + sqrt(1088) + 1 + ((sqrt(68) - (sqrt(68)*-2 - sqrt(68) - sqrt(68))) + sqrt(68))/sqrt(4)) - (5 + 4 + sqrt(17) + sqrt(272) + 4))**2. 5206*sqrt(17) + 319434 Simplify (1 + -5 + 5*(-2*(-1 + sqrt(637))**2 + 0) + 2)*-3. -420*sqrt(13) + 19146 Simplify (-4*-2*(sqrt(136) + sqrt(136) + sqrt(136)*1 + sqrt(136))*-4)/(1*-5*(4*sqrt(200) - sqrt(8))). 128*sqrt(17)/95 Simplify ((5 + 0 + -2 + sqrt(117) + 5 + (sqrt(117) - -3*1*sqrt(117))*3 + -1)*2)**2. 2184*sqrt(13) + 79288 Simplify 5*((-3 + sqrt(208) + sqrt(208))**2 + -2*sqrt(117) + 5)*-6. -25380 + 1620*sqrt(13) Simplify ((4 + 2 + -3*(sqrt(343) + sqrt(343) + sqrt(343) + sqrt(343)*-2 + 5 + sqrt(343))*5)*2)**2. 115920*sqrt(7) + 1253844 Simplify (sqrt(448)/(sqrt(24)/sqrt(12))*-2)/((sqrt(160)/sqrt(4)*-4)/(-6*sqrt(20))). -12*sqrt(7) Simplify (((sqrt(22) + sqrt(22) + sqrt(110)/(-1*sqrt(5)))*-2)/(sqrt(288) - ((sqrt(288) - 3*4*sqrt(288)) + sqrt(288)))*-1)**2. 1/396 Simplify -3*(((0 + -2*sqrt(19
{ "pile_set_name": "DM Mathematics" }
? 280a Convert 1481 (base 11) to base 6. 12452 770 (base 9) to base 13 396 917 (base 14) to base 15 7e0 -a021 (base 12) to base 3 -212201221 Convert -2de1 (base 15) to base 16. -269e Convert -1021 (base 7) to base 8. -546 Convert -2446 (base 9) to base 6. -12240 Convert 33102 (base 4) to base 12. 696 Convert -111010001010 (base 2) to base 15. -1182 What is 22100 (base 3) in base 9? 270 1767 (base 8) to base 9 1347 462 (base 9) to base 5 3010 265c (base 14) to base 5 203441 Convert -bca0 (base 15) to base 10. -39975 Convert 15a5 (base 11) to base 4. 200003 What is 1627 (base 8) in base 13? 559 -5662 (base 7) to base 2 -100000000101 What is -720 (base 10) in base 16? -2d0 What is -2ba (base 13) in base 9? -605 Convert -2d0 (base 16) to base 6. -3200 -1909 (base 13) to base 2 -111010001111 Convert 17a8 (base 13) to base 7. 13154 Convert 1070 (base 16) to base 9. 5685 -210101010 (base 3) to base 15 -493c 1810 (base 16) to base 8 14020 What is -332 (base 9) in base 12? -1a8 Convert -c46 (base 14) to base 11. -18a5 Convert 1020430 (base 6) to base 2. 1100000100000010 What is 3267 (base 9) in base 13? 1135 Convert -6197 (base 10) to base 4. -1200311 43bb (base 12) to base 10 7487 What is 508 (base 10) in base 8? 774 Convert -220121 (base 3) to base 16. -298 Convert -68482 (base 9) to base 5. -2424341 -294 (base 15) to base 2 -1001001101 What is -3b7 (base 15) in base 16? -34f Convert -10462 (base 8) to base 4. -1010302 What is 112220 (base 3) in base 5? 3102 What is -2431 (base 6) in base 10? -595 -111000010011 (base 2) to base 4 -320103 Convert 224241 (base 5) to base 7. 32350 Convert -587 (base 12) to base 14. -42b What is -2243014 (base 5) in base 15? -be74 1972 (base 16) to base 10 6514 Convert 6975 (base 12) to base 11. 8915 8969 (base 13) to base 6 224452 Convert -505 (base 13) to base 4. -31102 What is -534 (base 14) in base 9? -1360 What is 3e1c (base 15) in base 3? 200020200 Convert 10001001101000 (base 2) to base 11. 6688 -731 (base 9) to base 10 -595 91b (base 12) to base 8 2447 -19248 (base 10) to base 6 -225040 What is -798 (base 12) in base 16? -464 Convert -30330 (base 5) to base 7. -5505 -32231 (base 10) to base 15 -983b 16121 (base 10) to base 16 3ef9 Convert -5107 (base 8) to base 5. -41011 -a0 (base 15) to base 11 -127 What is 245 (base 6) in base 3? 10202 What is 1c5 (base 16) in base 11? 382 What is -a898 (base 16) in base 2? -1010100010011000 What is 4007 (base 9) in base 7? 11344 1831 (base 10) to base 15 821 What is -832 (base 11) in base 4? -33223 545 (base 13) to base 2 1110000110 What is 3564 (base 8) in base 15? 873 -25807 (base 11) to base 3 -1212122010 -11102031 (base 4) to base 16 -548d What is 1611 (base 10) in base 13? 96c -4b3 (base 12) to base 8 -1307 What is -11bc (base 14) in base 9? -4231 -cb (base 15) to base 8 -277 Convert 75651 (base 8) to base 10. 31657 What is -340 (base 14) in base 6? -2552 31 (base 13) to base 12 34 Convert -4231 (base 6) to base 4. -32323 What is 3001 (base 5) in base 15? 1a1 What is 205 (base 11) in base 6? 1051 What is -430 (base 14) in base 16? -33a What is 152 (base 6) in base 5? 233 3913 (base 13) to base 4 1333000 Convert -713 (base 10) to base 16. -2c9 Convert 37e4 (base 15) to base 12. 6a8a Convert -120220 (base 3) to base 12. -2b9 What is 4a6 (base 12) in base 4? 22332 What is 102033303 (base 4) in base 5? 4342424 Convert -22 (base 10) to base 6. -34 What is -26518 (base 11) in base 15? -b362 What is 72467 (base 8) in base 14? ad15 -2032301 (base 4) to base 9 -13472 3b3 (base 15) to base 9 1136 10111001 (base 2) to base 7 353 -19820 (base 13) to base 2 -1100001000110000 Convert 3333333 (base 5) to base 2. 1110010011100001 5192 (base 16) to base 12 10102 What is 71dc (base 14) in base 4? 10302032 What is 7290 (base 12) in base 11? 9427 -2523 (base 9) to base 16 -75c Convert -403 (base 8) to base 10. -259 What is 13225 (base 7) in base 13? 17cb Convert 19 (base 10) to base 16. 13 Convert -156a1 (base 12) to base 16. -7699 What is 241433 (base 5) in base 7? 35135 Convert -124 (base 6) to base 5. -202 What is 366 (base 10) in base 14? 1c2 Convert -7446 (base 14) to base 12. -b732 230 (base 14) to base 8 662 What is 110001011 (base 2) in base 3? 112122 Convert -1011010000 (base 2) to base 8. -1320 What is -28 (base 11) in base 6? -50 a6 (base 13) to base 2 10001000 What is -211034 (base 6) in base 10? -17086 e2 (base 15) to base 12 158 What is 19298 (base 10) in base 12? b202 Convert -1223 (base 6) to base 3. -102020 Convert 72 (base 8) to base 10. 58 Convert b6b (base 12) to base 8. 3203 -2212010 (base 3) to base 16 -822 Convert 208 (base 12) to base 15. 14b Convert -251 (base 12) to base 16. -15d 13435 (base 7) to base 16 e44 Convert 110a (base 11) to base 10. 1462 What is -544 (base 11) in base 8? -1215 22c3 (base 14) to base 4 1132203 -161621 (base 7) to base 16 -7c79 -8c (base 15) to base 12 -b0 61133 (base 10) to base 2 1110111011001101 What is -5884 (base 12) in base 6? -113444 What is 2311 (base 6) in base 13? 331 What is 252b7 (base 12) in base 15? ee94 Convert 601 (base 7) to base 15. 14a -3454 (base 7) to base 3 -1201211 -1341241 (base 5) to base 16 -6c30 What is 6ed6 (base 15) in base 14? 885b What is 2e4b (base 16) in base 10? 11851 Convert 2945 (base 14) to base 9. 11025 Convert -1010001101010100 (base 2) to base 16. -a354 574 (base 11) to base 9 842 What is -383 (base 14) in base 4? -22333 -10122 (base 6) to base 5 -20341 Convert 2233 (base 6) to base 15. 250 Convert -1216 (base 10) to base 3. -1200001 3bcc (base 15) to base 8 30770 Convert -1011001 (base 2) to base 3. -10022 What is 6559 (base 16) in base 10? 25945 401 (base 6) to base 2 10010001 Convert 445120 (base 6) to base 9. 56283 What is -43227 (base 9) in base 13? -10045 33310 (base 4) to base 3 1101111 What is -20640 (base 8) in base 3? -102210211 Convert 18291 (base 11) to base 15. 78db What is 4e27 (base 15) in base 16? 412f Convert 2301433 (base 5) to base 8. 117644 What is 1e8 (base 15) in base 11? 373 3969 (base 14) to base 11 7642 -917 (base 10) to base 12 -645 -231332 (base 4) to base 13 -1454 20121 (base 4) to base 10 537 What is -1010011001001 (base 2) in base 5? -132241 What is -32 (base 10) in base 11? -2a 32350 (base 7) to base 15 25d1 What is -227 (base 13) in base 14? -1c7 What is -a99 (base 12) in base 7? -4353 What is -3a7 (base 13) in base 10? -644 What is -12312 (base 11) in base 16? -450f Convert 20202 (base 5) to base 15. 5bc -10500 (base 7) to base 2 -101001010110 What is 35351 (base 11) in base 3? 2120221210 Convert 412 (base 11) to base 12. 355 Convert 1221 (base 4) to base 7. 210 Convert a00 (base 11) to base 16. 4ba 1627 (base 10) to base 12 b37 Convert -8e2 (base 15) to base 16. -7dc -222001 (base 3) to base 10 -703 -287 (base 15) to base 10 -577 What is -434 (base 6) in base 5? -1131 Convert 1332 (base 6) to base 12. 248 Convert 1301413 (base 5) to base 15. 7723 Convert 1042 (base 7) to base 8. 565 193 (base 10) to base 14 db -132 (base 6) to base 4 -320 Convert 499 (base 15) to base 14. 548 Convert 1132 (base 9) to base 5. 11324 5042 (base 13) to base 14 4047 Convert -6023 (base 8) to base 14. -11ab -34924 (base 10) to base 9 -52814 443216 (base 7) to base 16 13094 Convert -22225 (base 7) to base 13. -2722 Convert 4706 (base 8) to base 3. 10102200 Convert -17d88 (base 14) to base 16. -eb84 What is 285f (base 16) in base 2? 10100001011111 Convert -211002112 (base 3) to base 13. -743c What is 81b2 (base 13) in base 6? 214454 Convert 48278 (base 10) to base 12. 23b32 Convert 1950 (base 11) to base 9. 3350 Convert -546 (base 7) to base 8. -427 -20202002 (base 3) to base 15 -16cb What is -1934a (base 12) in base 2? -1000111110101010 Convert 2220122 (base 3) to base 11. 1660 What is -55 (base 13) in base 10? -70 What is 23200213 (base 4) in base 10? 47143 What is -11c08 (base 14) in base 4? -22220000 -3260 (base 8) to base 10 -1712 Convert -31260 (base 7) to base 15. -2426 103a9 (base 12) to base 5 1140142 What is c7 (base 13) in base 10? 163 What is -22a (base 11) in base 15? -134 What is -10262 (base 7) in base 3? -10111012 -1077 (base 12) to base 11 -1404 Convert 7609 (base 10) to base 7. 31120 Convert -230122 (base 4) to base 11. -2154 What is -1c2 (base 13) in base 5? -2302 -141
{ "pile_set_name": "DM Mathematics" }
6 - 28*n**2. Calculate the remainder when b is divided by i(7). 12 Let q(c) = -43*c + 2466. What is the remainder when 1730 is divided by q(56)? 48 Let f = -3287 - -3520. Calculate the remainder when f is divided by 119. 114 Let a = 41 + -38. Suppose -4*u = a*b - 244, 282 = 4*u + u - 2*b. Let h = u - 39. Calculate the remainder when 56 is divided by h. 18 Suppose 11*m = 10*m + 3. Suppose -m*a = -3, 0*s - a = -s + 64. Suppose 0 = o - s + 10. Calculate the remainder when o is divided by 14. 13 Suppose -6172 + 1460 = -38*s. Calculate the remainder when 865 is divided by s. 121 Let y(q) = -q**2 + 41*q + 93. Calculate the remainder when 193 is divided by y(43). 4 Let p = -11860 + 11880. Calculate the remainder when 77 is divided by p. 17 Let q = 1863 - 1091. Suppose 2*u + 2*n - 316 = 0, 30*u - 35*u + q = -4*n. What is the remainder when u is divided by 36? 12 Let o = -371 + 631. Let t = o - 4. What is the remainder when t is divided by 37? 34 What is the remainder when (20 - 14 - 3)/(6/796) is divided by 10? 8 Let a be 3*16/18*(-861)/(-28). Calculate the remainder when 320 is divided by 6/(-4) + a/4. 16 Let k = 379 + -648. Let z = k + 390. Let o = -100 + z. Calculate the remainder when 74 is divided by o. 11 Let l be (-3)/(-1) + (37 - 25/5). Suppose -5*x + 5*g = -l, 2*x = 5*x + 4*g - 7. What is the remainder when 23 is divided by x? 3 Let d(b) = -151*b - 1042. Calculate the remainder when (0 - (-71)/4)*4 is divided by d(-7). 11 Suppose -8*q - 612 = -4*c - 4*q, 0 = -5*c - 5*q + 815. Calculate the remainder when c is divided by 24. 14 Let f = -2081 - -2178. What is the remainder when f is divided by 4/(-1) + (-342)/(-6)? 44 Let n(z) = -z**2 + 3*z - 2. Let j be n(2). Suppose -o = -0*o - 3. Suppose j = o*d - 4 - 8. Calculate the remainder when 15 is divided by d. 3 Let m(p) = -3*p**2 - 2*p + 11. Let d be m(-5). Suppose 5*c + 2*c + 497 = 0. Let o = d - c. What is the remainder when 64 is divided by o? 13 Let l(h) = h**2 - 3*h + 6. Let n = -58 + 98. Suppose n*b + 12 = 44*b. Calculate the remainder when l(b) is divided by 2. 0 Let n = -331 + 400. Let r = -46 - -30. Let y = r - -40. What is the remainder when n is divided by y? 21 Suppose -5*i = -d - d + 3444, 0 = -i - 4. Suppose -d + 50 = -6*j. What is the remainder when j is divided by 31? 29 Let u(k) = 9*k + 49. Suppose -40 = y - 34. Let q be u(y). What is the remainder when 63/(q/(-3) - (-1)/(-6)) is divided by 11? 9 What is the remainder when 3 + 144/(-56) - 8130/(-42) is divided by 44? 18 Let x(c) = -c**2 + 16. Let f = -758 - -949. Suppose -200*m + f*m = -711. Calculate the remainder when m is divided by x(0). 15 Let g be ((-32)/(-4))/8*-2*62. Let b be 3 + 3 + 0/(-1). What is the remainder when (-4)/6 - g/b is divided by 11? 9 Let x(w) = 2*w - 32. Let k be x(17). Let j(m) = 6*m**k - 8*m**2 + 0*m**2 + 33*m + 25. What is the remainder when 26 is divided by j(17)? 2 Let t(j) = 22*j + 2. Calculate the remainder when ((-325)/(-260))/((-8)/(-1760)) is divided by t(2). 45 Suppose -4 + 182 = 5*g + 3*o, 4*o - 109 = -3*g. Suppose -r + 3*b + 72 = -79, r - 2*b = 147. What is the remainder when r is divided by g? 34 Let y = 50 - 34. Let h(o) = -5*o - 42. Let g(l) = 1. Let i(f) = 2*g(f) - h(f). Calculate the remainder when y is divided by i(-7). 7 Let z(n) = -n**2 - 6*n. Let f be z(-6). Suppose f = u - 8 - 9. Calculate the remainder when ((-1225)/(-50))/(1/2) is divided by u. 15 Suppose 3*d = -2*w + w - 79, -4*w - 302 = -2*d. Suppose 0 = 3*v - 12, 4*h - 5*v = -397 - 319. Let a = w - h. What is the remainder when a is divided by 20? 18 Suppose -36*f + 290416 = -18*f + 48082. What is the remainder when f is divided by 72? 71 Suppose -11 = -22*x + 253. Calculate the remainder when 281 is divided by x. 5 Let p(k) = 70*k + 378. Let j be (-2)/(10 + 432/(-45)). Let f = 199 - 116. What is the remainder when f is divided by p(j)? 27 Let u = 3574 - 3538. Calculate the remainder when 312 is divided by u. 24 Let w(k) = 4*k**2 - 155*k + 666. Calculate the remainder when 30958 is divided by w(34). 18 Suppose -25*u + 33*u = 16*u - 12744. Calculate the remainder when u is divided by 94. 89 Suppose 0 = -5*p - 25, -107*c + 104*c + 4*p = -4970. Calculate the remainder when c is divided by 30. 0 What is the remainder when 19/57*(-5 + 440) is divided by 55? 35 Let y = 12150 - 11988. Calculate the remainder when 459 is divided by y. 135 Let x = 27720 - 23595. What is the remainder when x is divided by 38? 21 Let q = 3026 + -2984. Calculate the remainder when 182 is divided by q. 14 Let y(q) = -2*q**3 - 4*q**2 + 26*q + 23. Suppose -3*l - 54 = -4*l + 5*w, -w = -3*l + 232. Calculate the remainder when y(-6) is divided by l. 76 Suppose -205 = -5*s - 0*s. What is the remainder when ((-52)/18 + -4 - -8) + (-148092)/(-756) is divided by s? 33 Suppose 4 + 3 = t + x, 0 = t - 5*x - 1. Calculate the remainder when 148 is divided by 12/(t - 468/81). 40 Suppose 289*l + 1040 = 329*l. Let k(m) = -m**3 + 14*m**2 - 11*m + 42. Calculate the remainder when k(11) is divided by l. 24 Let s(i) = 7 - i + 9 + 9 + 33. Calculate the remainder when 249 is divided by s(8). 49 Let v = 5248 - 3941. What is the remainder when v is divided by 69? 65 Suppose -4*t - 35 + 107 = 0. Let p = 120 + -103. Suppose p*j = 26*j - 945. Calculate the remainder when j is divided by t. 15 Let p be (-6)/4*(-28)/6. Let t(h) = -h**2 + 5*h + 14. Let w be t(p). Suppose -2 + 14 = 4*f, -b - 3*f + 33 = w. Calculate the remainder when 71 is divided by b. 23 Let o be 218/(-4) + 2/4. Let k(c) = 21*c + 40. Let a be k(-6). Let d = o - a. Calculate the remainder when d is divided by 7. 4 Suppose 188447 = 411*c - 120625. Calculate the remainder when c is divided by 92. 16 Let c(x) = -59*x**2 - 3304*x + 30. Calculate the remainder when 2337 is divided by c(-56). 27 Let s = -226 + 65. Let w = 162 - s. What is the remainder when w is divided by 25? 23 Suppose -2*h - 5*g = -5*h + 96, 128 = 4*h - 5*g. Suppose -5055*m = -5045*m - 1230. Calculate the remainder when m is divided by h. 27 Let i(y) = -y**3 - 47*y**2 - 132*y + 49. Calculate the remainder when 151 is divided by i(-44). 4 Let a = 409 + -382. Calculate the remainder when a is divided by 10. 7 Let v = 19 + -9. Suppose 0 = 4*a, 2*x - 3*a = x - v. Let u = x + 22. What is the remainder when u is divided by 7? 5 Let u(f) = 2*f**2 + 17*f + 56. Suppose 9*m - 16 = 11*m. What is the remainder when 146 is divided by u(m)? 2 Let k(g) = 107*g**2 - 3*g + 2. What is the remainder when k(-3) is divided by 486? 2 Let g = -122 + 288. Calculate the remainder when g is divided by ((-20)/(-1))/((-16)/(-32)) + (-6)/(-3). 40 Let j(x) = -x**2 + 25*x - 131. Let i be j(18). Let t(n) = 9*n**2 + 39*n - 17. What is the remainder when 62 is divided by t(i)? 10 Suppose -4*o = g - 5, 5*g + 33 = o + 121. Suppose -39 = 14*r - g*r. Suppose 0 = -4*a - 4*c, -2*c - 3 - 2 = a. What is the remainder when r is divided by a? 3 Let m = 6836 + -6660. What is the remainder when m is divided by 61? 54 Let d = -105 - -119. Let w = -381 + 404. What is the remainder when w is divided by d? 9 Let k be 30714/54*-1 - (-6)/(-27). Let n = -340 - k. What is the remainder when n is divided by 8? 5 Suppose 0 = 13*b - 53*b + 7960. Suppose -3*g + 135 = 3*s, -5*g - 4*s + b = -30. Let o(c) = -c**2 - 10*c - 7. Calculate the remainder when g is divided by o(-6). 15 Suppose 3*s = 3*l - 6, l - 3*s - 2 = -0*s. Suppose -7 = -l*j + j. Calculate the remainder when 45 is divided by j. 3 Suppose 0 = 4*y - 4, k + 5*y = -0*y - 6. Let d = 4 - k. Let t(w) = -w**2 + 23*w - 63. What is the remainder when t(5) is divided by d? 12 Calculate the remainder when 620 is divided by (-2)/(22/((-34342)/21)*(-4)/(-6)). 174 Suppose 0 = -54*f - 78*f + 44088. What is the remainder when f is divided by 14? 12 What is the remainder when 218 is divided by (6/(-27) + 259/(-252))/((-10)/680)? 48 Suppose -439*z + 436*z + 913 = -2*p, -3*z + 929 = -4*p. Calculate the remainder when z is divided by 155. 144 Suppose -v + 39 = -2*v. Let b = -2888 - -2810. What is the remainder when 26 is divided by 12/b + (-552)/v? 12 Let j(r) = -r**3 + 9*r**2 + 30*r - 14. Let a be j(12). What is the remainder when 827 is divided by (168/(-7))/8 - a? 80 Calculate the remainder when 27/108 + 3042/8 + (-10)/20 is divided by 16. 12 Let p = 9833 - 9802. Let
{ "pile_set_name": "DM Mathematics" }
is the common denominator of -73/12 and d? 48 Let o be (3 + -3)/(0 - -1). Suppose 2*x - 4 = -o*x. Suppose 0 = -x*b + 3 + 3. What is the least common multiple of b and 5? 15 Let v be 1*1*-13*23. Let q = 11/6 - -38/3. What is the common denominator of q and (-6)/9 - v/66? 22 Let o(j) = 4*j + 3*j**2 - 4*j**2 + 0*j**2. Let r(g) = 2*g + 2. What is the lowest common multiple of o(3) and r(1)? 12 Let x be -2 - -2 - (1 - 1). Suppose x*z - 2 = z. Calculate the common denominator of 35/2 and z/6 - (-249)/(-36). 4 Let b = 4 - -2. Let k(j) = 7*j**2 - 2*j. Let i be k(2). Suppose 0 = 2*z + 2*z + 3*g - 83, 4*g = -z + i. Calculate the smallest common multiple of z and b. 60 Suppose 3*r = r - 1818. Let m = r - -3701/4. What is the common denominator of m and 36/5? 20 Let l = 2 + -2. Suppose s - 28 = 2*z - 6, 3*s + 4*z - 36 = l. What is the least common multiple of s and 6? 48 Suppose -4*h = -3*h - 5, h = d + 12. Let g be -2 - 2408932/(-305888)*1. Let y = g + -2/9559. Find the common denominator of d and y. 8 Let q = -127809/16 + 7982. Calculate the common denominator of q and 27/4. 16 Let r be ((-3)/(-18))/((-159)/(-8)). Let g = r + 6137/7632. Let v = -518/5 + 1411/10. What is the common denominator of v and g? 16 Find the common denominator of -6 and 2/(-10)*(1 + 126/4). 2 Suppose 3*u = -6 + 30. What is the lowest common multiple of u and 11? 88 Let a = 5263 - 73735/14. Calculate the common denominator of a and 35/24. 168 Let f(p) = -p**3 - 9*p**2 - 3*p + 1. Let k be f(-9). What is the common denominator of -65/18 and -3 + ((-522)/k)/(-3)? 126 Let w = -1746 + 13999/8. What is the common denominator of -143/6 and w? 24 Suppose -4*d = -d - 48. Calculate the lowest common multiple of 6 and d. 48 Let h(t) = 2*t**2 + 4 - t**2 + 2 - 5*t. Let u be h(4). What is the common denominator of (-2)/u + (-27)/(-16) and 27/20? 80 Let d(n) = n - 3. Let h be d(9). Let c = h + -3. What is the lowest common multiple of c and 10? 30 Suppose 5*x + 34 = 4*k, -3*k - x = -1 - 15. Suppose -5*w = k + 9. What is the common denominator of 61/8 and w/(-12)*1*10? 8 Suppose 2*h + 624 = -4*p, -5*p - 289 = 4*h + 968. Let v be h/30*(7 + 2). Let m = v + 3254/35. Calculate the common denominator of -7/11 and m. 77 Suppose s + 9 - 41 = -3*q, -3*s - 4*q = -96. What is the least common multiple of 16 and s? 32 Let j(b) = 3*b. Let w be j(0). Suppose 4*s - 28 = -w*s. What is the lowest common multiple of 8 and s? 56 Let a = 369 + -10001/27. Find the common denominator of a and -19/24. 216 Let w(s) = s - 6. Let f = -26 + 36. Calculate the lowest common multiple of 14 and w(f). 28 Let y = -4 + 12. Calculate the smallest common multiple of y and 32/20*(-20)/(-8). 8 Let f = 2/135 + 307/540. Calculate the common denominator of 113/12 and f. 12 Find the common denominator of (-3)/(-9)*(-1236)/328 and -25/2. 82 Calculate the common denominator of 2/3 and 1/5 - (-153)/30. 30 Let f be (-1 + 3 + -10)/(-2). Let a be (-6)/8*(f + -12). What is the common denominator of (4/a)/((-6)/165) and -57/10? 30 Let m(b) = -18*b**3 + 2*b + 3. Let h be m(-2). Suppose 193 + h = 4*x. Suppose -x - 16 = -5*u. Calculate the smallest common multiple of 10 and u. 20 Let b = 6 + -4. Let n(r) = -r**3 + 5*r**2 + 7*r - 6. Let l be n(6). Calculate the lowest common multiple of 4 and 5 + 4 + (l - b). 28 Let d = -2/22385 + 1768431/179080. Find the common denominator of d and -131/18. 72 Let p be (4/(-6))/(2/39). Let w = p + 14. What is the least common multiple of 11 and w? 11 Let u be (-74)/9 - 2/(-9). Let i be (-8 - u)/(-1 - 1). Suppose 3*h - 4*b + i*b = 4, -6 = -2*h + b. Calculate the smallest common multiple of 8 and h. 8 Let a(y) = -y**3 - y**2 + 3*y - 4. Let u be a(-3). Suppose -18 = -u*b + 22. Calculate the common denominator of -33/2 and b. 2 Let w(h) = -4*h**3 - 6*h**2 + 3*h + 2. Calculate the lowest common multiple of 1 and w(-3). 47 Let o = 101107/336 - 4863/16. Find the common denominator of o and -97/16. 336 Let v be (847/(-72))/7 - 2. Let c = -1/18 - v. What is the common denominator of 99/2 and c? 8 Let u be 1/(((-5)/(-2))/(-5)). Find the common denominator of (-12)/(-42) - u/(-2) and -8/11. 77 Let h be (-335)/(-2) + 1/2. Let b be 3/5 - h/(-20). What is the common denominator of 6/b*(-131)/12 and 45/16? 144 Suppose 0 = -2*a + 4*a + 66. What is the common denominator of (a/108)/((-2)/(-6)) and (-1)/5 + 193/40? 24 Suppose 5*h + 5*y = -125, -2*h + 3*y - 107 = 2*h. Let s = -54 - h. Let a = -20 - s. Calculate the lowest common multiple of 8 and a. 8 Find the common denominator of ((-12)/(-9))/((-17)/(-12)) and 77/6. 102 Calculate the lowest common multiple of 20 and (((-24)/9)/(-4))/((-2)/(-30)). 20 Suppose 4*w + 50 = 242. Let d = -477/4 + 123. What is the common denominator of d and w? 4 Suppose 10 = -8*i + 3*i. Find the common denominator of ((-7)/5)/(1 - -3) and -1 - (-77)/10 - i. 20 Let p(t) be the third derivative of t**5/30 + t**4/12 + t**2. What is the lowest common multiple of 4 and p(-2)? 4 Find the common denominator of -11/4 and ((-498)/72)/((-1)/(-2)). 12 Let r be (2 - 1) + (-2 - -1). Suppose 2*o = -4*d + 44, r = 5*o - 0*d - d - 99. Calculate the smallest common multiple of 14 and o. 140 Let s(g) = -860*g**3 + 2*g**2 - 1. Let j be s(1). Let y be (2/(4/6910))/4. Let m = j + y. Calculate the common denominator of m and -9/5. 20 Suppose -44 = -6*a + 3*a - 4*z, -3*z = 2*a - 28. What is the least common multiple of 62 and a? 620 Let f = 107 - 74. Calculate the common denominator of (f/(-5))/((-22)/55) and 125/6. 6 Let s = 3315 - 29771/9. Find the common denominator of -79/2 and s. 18 Let x = 14 - 6. What is the common denominator of x and 56/11? 11 Let l = 617/2 - 5471/18. Let r be (-10)/144*6333/39. Let m = -23/234 + r. Find the common denominator of m and l. 72 Let p be (-106)/(-3)*12/(-1). Let t = p + 4656/11. Find the common denominator of 18/7 and t. 77 Let b be 15/25 - 4533/5. What is the common denominator of 9/4 and b/(-99) - (-4)/22? 12 Let t(s) = s**3 - 6*s**2 - 7*s - 5. Suppose 4*k = -k + 40. Let j be t(k). Let x = 105 - j. Calculate the common denominator of 63/10 and x. 10 Let h be (2/4)/((-2)/4). Let g be 3 + h + (-86)/53. Let i = 821/212 + g. Find the common denominator of i and 9/14. 28 Let o = -17 - -16. Calculate the least common multiple of o*(-15)/3 + 3 and 18/1*(-2)/(-2). 72 Suppose 2*h + 9 = -r + 2*r, 12 = 4*r + 4*h. Suppose 0 = 2*j - r*j - 2463. Let w = 5702/7 + j. Calculate the common denominator of -31/3 and w. 21 What is the common denominator of 71/27 and (5 - 1) + (-97)/4? 108 Let y = 247 - 730/3. Let m = 11 - -7. Calculate the common denominator of y and (-6)/m - (-50)/(-66). 33 What is the smallest common multiple of (-13 - -11)/(4/(-42)) and 33? 231 Suppose t + 3 = 15. Suppose -o + 6*o = 110. What is the least common multiple of t and o? 132 Let y(j) = 4*j + j**3 - 2*j**2 + 2 - j - 5*j + 0*j. What is the least common multiple of 6 and y(3)? 30 Suppose 44 = 2*v - 4*q, 3*q - 6 = v + 8*q. Let n be -6 - (-1 + 2 + -3). Calculate the least common multiple of (-10)/n*(-4)/(-5) and v. 14 Let u = -5/448 + 1637/448. What is the common denominator of u and -59/18? 126 Let y(z) = -z**2 - 5*z + 5. Let j be y(-5). Suppose -7 = -3*t + r + 28, 2*t + j*r + 5 = 0. What is the smallest common multiple of t and 11? 110 Let a = -5073149/6 + 839980. Let k = a + 5563. What is the common denominator of 32/11 and k? 66 Let v be 1 + -37 - (1 + -1). Calculate the common denominator of -14/5 and 6/9 - 104/v. 45 Let c = 13955 + -195449/14. Calculate the common denominator of c and (-63)/(-8) + (2 - -1). 56 Let a(k) = 5*k - 5. Let m be a(9). What is the common denominator of ((-2)/(-8))/(m/(-1904)) and -119/10? 10 Suppose u - 4*u = -4*k + 16, 28 = -3*u - 2*k. Let y = u - -30. What is the least common multiple of 47/3 - 1/(-3) and y? 176 Let y = 599 - 4182/7. Let x(a) = a - 4. Let n be x(4). Calculate the common denominator of y and (-66)/4 - n/(-1). 14 Suppose y = 4*v - 0*v - 23, y - 22 = -5*v. Calculate the common denominator of -1/7 and -70*v/((-375)/12). 35 Let y be (6/(-15))/((-2)/10). Suppose 4*l - y = -34. Let i(b) = -b + 2. What is the lowest common multiple of 10 and i(l)? 10 Suppose 3*h = 587 - 164. What is the common denominator of (h/45)/(2/3) and 91/(-30) - (-4)/(-6)? 10 Suppose -4*b = -2*b - 4*q - 56, 1
{ "pile_set_name": "DM Mathematics" }
Let o(m) = m**3 + 9*m**2 - m - 5. Let u be o(-9). Suppose h = u*h - 381. Is h prime? True Suppose 30 = 5*z - 0*z. Let p be (-1)/(4/z - 1). Suppose x + 64 = w, -w + 56 = p*x + 12. Is w prime? True Let v(a) = -2*a**3 - 2*a**2 + 2*a + 3. Let z be v(-3). Is (0/(-3))/(-1) + z a prime number? False Let j = 7 - 4. Suppose -3*h - 2*h - 4*k - 13 = 0, -k = j*h + 5. Is (h + 0 - 0) + 48 a prime number? True Let p be (2/(-4))/(2/(-36)). Suppose -4*l + p = -l. Suppose -x + 508 = l*x. Is x a composite number? False Suppose 0 = 3*c - 236 + 8. Let z(m) = 21*m - 3. Let b be z(2). Let x = c - b. Is x a composite number? False Let g(k) = k**3 - 7*k**2 - 7*k + 12. Is g(11) a composite number? False Let y = 1634 - 817. Is y a composite number? True Is (594 - 1) + (-20)/10 composite? True Let f = -2408 - -3805. Is f prime? False Let d = 447 + -237. Suppose -r + d = r. Suppose -3*y - r = -3*f, y - 140 = -2*f - 2*f. Is f composite? True Is (-1219)/(-3 + 10/(-5)*-1) a prime number? False Suppose y + 2*x - 1085 = 0, 1090 = y - 0*y - 3*x. Is y a prime number? True Let o = 712 + 1531. Is o composite? False Let z be 5/(-2)*(-16)/5. Let u(h) = -h**2 + 7*h + 10. Is u(z) composite? False Let f be 4 - (3 + 2/(-2)). Suppose -f*c = k - 24, 4*k = -c - 2*c + 31. Suppose -4*a + c = -207. Is a composite? True Let p(h) = 19*h**2 + 4*h - 5. Let d be p(-4). Suppose -5*s + 1402 = -d. Is s prime? True Let s = -103 + 290. Is s composite? True Suppose -199 = -o + b - 2*b, 5*o + b = 995. Is o composite? False Let o(z) = z**3 + 4*z**2 - 7*z + 4. Suppose 0 = -2*l + 5*k - 21 + 4, -3*l - 14 = 4*k. Let h be o(l). Let d = 8 - h. Is d composite? True Suppose 0*w + 178 = 2*w. Is w composite? False Let a(t) = -96*t**3 - t**2 + t. Let i be a(1). Let d = -10 - i. Is d prime? False Let l(o) be the first derivative of o**4/4 + o**3/3 + o**2/2 - 26*o + 1. Let s be l(0). Let g = s + 93. Is g prime? True Let j(l) = l - 4. Let w be j(5). Let y be -2*w*-31*3. Let b = y + -101. Is b composite? True Let a(p) = -3*p. Is a(-3) a composite number? True Suppose -1003 = -5*b + 2*z, -z = -3*b - 2*z + 604. Is b a prime number? False Suppose -16453 = -5*l - 2*j, -4*l + 0*j + j + 13165 = 0. Is l prime? False Let p = 3 + -2. Is 284/8 - p/2 prime? False Let q(k) = -20*k - 9. Is q(-11) prime? True Suppose 1 = 3*r - 2. Let d(c) = 134*c**3 - 1. Is d(r) a prime number? False Let u(p) = -p**3 - 11*p**2 - 12*p + 13. Is u(-10) a prime number? False Let m(l) = -l**3 - 8*l**2 - 2*l - 7. Let q be 8/(-1)*(-4 - -5). Let f be m(q). Suppose 5*g + 3*r + f = 209, 5*g = -r + 190. Is g composite? False Suppose 5*m = -2*n - 2*n - 10, 0 = 2*n + 10. Let l(a) = 48*a + 1. Is l(m) composite? False Let y be (-4404)/(-20) - (-1)/(-5). Suppose 4*c - 288 = y. Is c a prime number? True Suppose 12 = -2*k + 6*k. Let c(b) = 33*b + 4. Is c(k) composite? False Suppose -5*c + 429 = 3*q, -2*c - 5*q + 164 = -19. Suppose z - 6*z + 2*g + 140 = 0, 4*z = -4*g + c. Is z a prime number? False Suppose 3*r = 5*h + 187, -3*r + 45 = -4*h - 107. Is 1/((-4)/16) - h a prime number? True Let x = -1181 + 2238. Is x composite? True Suppose 5*d - 4 = -29. Let u = d + 1. Is (1 + (-15)/u)*4 composite? False Suppose -3*f + 3*m = -480, -3*m = -4 + 1. Suppose -z + f = 2*z + 4*d, -221 = -4*z + d. Is z a prime number? False Let h(u) be the second derivative of u**4/4 + u**3/2 - 5*u**2/2 + u. Is h(-5) prime? False Is (-8)/(-6)*381/2 a composite number? True Suppose 2*w = 7*w + 205. Let z = 56 - w. Is z a composite number? False Let l(w) be the second derivative of -2/3*w**3 - 1/10*w**5 + 0 + 3/2*w**2 - 3*w - 5/12*w**4. Is l(-4) a composite number? False Let y be -127*(-6 - -3)/3. Let u = -76 + y. Is u a composite number? True Let t(h) = 5*h**3 + 2*h**2 - 2*h - 5. Is t(6) a prime number? False Let r(j) be the second derivative of -j**4/6 - 7*j**3/6 + 5*j**2/2 + j. Let u be r(-7). Let w = 75 - u. Is w a prime number? False Let l be 40/(-16)*8/(-5). Suppose 4*y + 7*p - 2*p = 194, 0 = y - l*p - 38. Is y prime? False Suppose -486 - 1009 = -5*h. Is h a prime number? False Suppose 358 = l + 27. Is l a prime number? True Let b = -271 + 790. Is b composite? True Let d be 2 + 2 + (0 - -3). Let f = d + -4. Suppose -3*r - 27 = -f*s, -9 + 0 = -s - 2*r. Is s prime? False Suppose z = -3*u + 434, 0 = -z + 4*u + 217 + 238. Is z composite? False Let p(i) be the first derivative of i**3/3 + 3*i**2/2 - 5*i - 1. Let u(c) = -c - 4. Let b be u(-8). Is p(b) a prime number? True Suppose -2*m - 4*u + 341 = -461, 4*m = -u + 1597. Suppose -2*v + 2*d + m = 3*v, -5*d - 10 = 0. Is v prime? True Suppose 406 - 1042 = 3*m. Is m/(-6) + (-1)/3 composite? True Suppose 4*k = 2*s + 3*s - 7, -4*k = -s + 11. Let r(j) be the first derivative of -5*j**2/2 + j + 1. Is r(s) prime? False Let t(d) be the second derivative of -7*d**6/72 - d**5/120 + d**4/12 + 2*d. Let q(k) be the third derivative of t(k). Is q(-1) prime? False Let x = 587 - -2694. Is x composite? True Let v = 78 - -145. Is v a prime number? True Let k = 1210 + -627. Is k prime? False Let j = -328 - -164. Let b be ((-2)/4)/((-2)/j). Let y = -22 - b. Is y prime? True Let a(l) = l**2 + 5*l + 4. Let t be a(-5). Let j(v) = 5*v + 4. Let p be j(t). Let d = 130 - p. Is d a prime number? False Let c(z) = 311*z**2 + 2*z. Is c(-1) a prime number? False Suppose 4*w = g - 1061, 5*g + 4*w - 4284 = g. Is g composite? False Let s = 521 - -342. Is s composite? False Let d(l) = 28*l - 17. Is d(10) prime? True Let y(v) be the first derivative of v**5/20 + v**4/24 - 2*v**3/3 + 2. Let z(n) be the third derivative of y(n). Is z(3) a prime number? True Let c = 4 + -9. Let k(u) = u**2 - 7. Let n be k(c). Let r = 77 - n. Is r a composite number? False Suppose 0*b - 5*m = -b + 19, -3*b + 6 = 2*m. Suppose -5*f = -b*x + 3, -3*x + 8 + 3 = 5*f. Is x prime? True Let k(y) = y**2 + 7*y - 2. Let n be k(-7). Let d = n - -4. Suppose -4*h + 192 = -d*q, -4*h - 4*q = -48 - 132. Is h composite? False Suppose 3*y - 130 = -2*g, y - 41 = -3*g - 0*g. Suppose 9 = -s + y. Is s composite? True Let q(p) = -38*p - 10. Is q(-12) composite? True Let v = 0 + 6. Suppose -2*x + 5*k + v = -103, 4*k + 112 = 2*x. Suppose 4*r - x = 214. Is r a composite number? True Let p = -12 + 18. Suppose 0 = 6*t + p - 1224. Is t a composite number? True Suppose 8 = -2*r - 6. Let w be 161/49 - (-2)/r. Suppose -12 = w*m, f - 27 = -0*f + 3*m. Is f a prime number? False Let x(r) = r**3 + 27*r**2 + 14*r + 1. Is x(-15) composite? True Suppose -2*z = -6*z + 308. Suppose 0 = -4*h - 21 + z. Is h a prime number? False Let w(x) = -9*x - 4 + 2 + 1. Let i be w(-3). Suppose -i = -3*p + 43. Is p composite? False Let z = 7 - -12. Is z composite? False Let r(p) = p + 3. Let j be r(-4). Let k(f) = 99*f. Let w be k(j). Let v = -46 - w. Is v a prime number? True Suppose 4*c - 876 = c. Let d = c + -189. Is d a composite number? False Suppose 0*r = 5*r - 1055. Is r composite? False Is (-1560)/(-7) - (-2)/14 prime? True Let t be (6/(-2))/(4/36). Let s(f) = f**3 - 5*f**2 - 4*f - 6. Let l be s(6). Is 1451/9 + l/t a prime number? False Let l be (-2)/(-3) - 3829/(-21). Suppose -3*b + l = -4*w, -b = -2*b - 3*w + 61. Let f = b - 30. Is f composite? False Let m(r) = -74*r + 3. Let z(v) = -15169*v + 616. Let o(d) = 616*m(d) - 3*z(d). Let y(i) = -i. Let s be y(1). Is o(s) prime? False Let y = -432 - -2275. Is y a prime number? False Suppose -4*u = -9*u + 1585. Is u prime? True Let z = 22 + -17. Suppose -3*r + 2*i + 2*i = -99, -33 = -r + z*i. Is r composite? True Suppose -6 = u - 1. Is 2 + (0 - u/1) a composite number? False Suppose 37 = 4*o - 5*y + 11, 4*o - 12 = -2*y. Suppose 0 = 2*g - o*g + 50. Is g composite? True Let t(p) = -p - 4. Let h be t(3). Let a = h + 13. Is -14*((-15)/a - -1) a prime number? False Suppose 4*c - 444 = -8. Let z = -56 + c. Is z a prime number? True Let b = -23 - -21. Is 3/b*130/(-15) composite? False Suppose -5*a = -493 - 292. Is a a composite number? False Let q(t) = -2*t**3 + 0*t**3 + 5 + 7*t**2 + 3*t**3. Suppose 4*a - 2*v + 3*v = -21, 5*a = 5*v + 5. Is q(a) a composite number? False Suppose 0 = -14*l + 15*l - 521. Is l a prime number? True Let y(k) = -4 + 2*k**3 + 6*k**2 + 2*k - 3*k**3 - 1. Is y(4) composite? True Suppose 0 = 2*a - a - 5. Let b be -5 + a - (0 + -5). Suppose -278 + 913 = b*v. Is v a composite number? False Let z
{ "pile_set_name": "DM Mathematics" }
3*v - 12, -2*w - 5*v + 10 = -0*w. Let d(f) = 10 + w*f**2 - 13*f**2 - 10. Determine d(q(r)). 8*r**4 Let v(d) = 2*d + 56. Let m(w) = 14*w + 318. Let r(i) = 6*m(i) - 34*v(i). Let o(b) = 30*b. What is r(o(n))? 480*n + 4 Let v(u) = 78*u - 25041 + 25041. Let l(i) = -16*i - 3. Give l(v(d)). -1248*d - 3 Let d(i) = 103323*i. Let o(p) = -172*p. Determine o(d(h)). -17771556*h Let c(u) = 5*u**2 + 13. Let d(x) be the third derivative of 11*x**4/24 - 5*x**2 - 565*x. Give c(d(p)). 605*p**2 + 13 Let c(t) be the second derivative of 5*t**4/2 - 2*t. Suppose -3*y + 4*a + 20 = -15, -4*y + 15 = a. Let v(r) = -r - 5*r + 4*r + 0*r + y*r. Calculate v(c(k)). 90*k**2 Let q be ((-3)/(-27)*-6)/(6/(-333)). Let c(p) = 8*p**2 - 10*p**2 + q*p**2 + 8*p**2. Let o(b) = -b**2. Calculate c(o(t)). 43*t**4 Let y(p) = -69*p - 6. Let q(b) = -682*b. What is q(y(c))? 47058*c + 4092 Let q(g) = g. Let m(d) = 2*d**3 + 10*d**2 - 5*d - 17. Let c be m(-5). Let t(j) = 12 - c - 6 + 2 - 43*j. Calculate q(t(x)). -43*x Let s(t) = -3*t. Let g(l) = 2*l**3 - 51*l**2 + 29*l - 60. Let v be g(25). Let k(x) = 18*x + 17*x - v*x. What is k(s(h))? 15*h Let s(l) = -207345915*l. Let w(c) = -2*c**2. What is w(s(f))? -85984656934374450*f**2 Let v(n) = -3671*n**2 + 112*n - 8. Let z(u) = 304695*u**2 - 9324*u + 666. Let p(w) = 333*v(w) + 4*z(w). Let q(c) = -5*c**2. Calculate p(q(o)). -91575*o**4 Let i(s) = -s. Suppose -4*j + 61 = -3*v, -5*v + 11 = 2*j - 0. Let y(d) = -j*d - 8*d + 19*d + 22 + 10. Calculate i(y(f)). 2*f - 32 Let j(l) = -35*l**2. Let k = -2004 - -2004. Let d(f) be the second derivative of k*f**2 - f + 0 - 1/6*f**4 + 0*f**3. What is j(d(s))? -140*s**4 Let u(b) = 1417*b. Let a(f) be the second derivative of -f**4/6 - 29*f + 6. Calculate u(a(h)). -2834*h**2 Let w(d) = 2*d. Let m(h) be the third derivative of 153*h**5/20 - 83*h**2 + 2*h. Determine w(m(t)). 918*t**2 Let t(z) = 1947*z**2 + 66*z + 33. Let n(o) = -974*o**2 - 30*o - 15. Let b(s) = -11*n(s) - 5*t(s). Let w(x) = 5*x. Calculate b(w(r)). 24475*r**2 Suppose 0 = c + 3*c - 224. Let z(x) = -3*x - 46 - 48 - c + 150. Let p(k) = 0*k + 2*k + k. Give z(p(o)). -9*o Let j(n) = 72*n - 134. Let k be j(2). Let f be (14/6)/(-1)*-9. Let u(c) = k*c - f*c + 7*c. Let m(d) = -2*d. Give u(m(z)). 8*z Let a(d) = -224*d**2. Let g(p) = 2*p - 30. Let q(h) = -5*h - 50. Let n(l) = -5*g(l) + 3*q(l). Give a(n(b)). -140000*b**2 Let j(g) be the third derivative of 0 + 21*g**2 + 1/24*g**4 + 0*g + 0*g**3. Let b(w) = 34*w. Give b(j(a)). 34*a Let w(v) = 2382707*v. Let s(m) = -m**2. Calculate s(w(l)). -5677292647849*l**2 Let r(c) = 202*c. Let d(g) be the first derivative of -7*g**2/2 - 1889. What is d(r(a))? -1414*a Let i(o) = -2*o**2 - 1. Let t(r) = 8879*r**2 + 4098. Let s(l) = 4098*i(l) + t(l). Let j(q) be the third derivative of -q**4/12 - 20*q**2. What is s(j(b))? 2732*b**2 Let o(b) = -2470*b. Let a(f) = 3487*f. What is o(a(z))? -8612890*z Let x(t) = -12*t. Suppose -h = 4*d + 1 + 16, -5*d = -5*h + 40. Let c(j) be the first derivative of -j**h - 56 + 34 + 1. Give x(c(n)). 36*n**2 Let c(a) be the second derivative of a**3/2 + 5*a. Let t(r) = -26*r**2 + 72 - 3*r**2 - 35 - 35. Determine t(c(m)). -261*m**2 + 2 Let h(r) be the third derivative of -11*r**4/24 + 5914*r**2. Let v(o) be the third derivative of 5*o**4/24 - 2*o**2. Give v(h(s)). -55*s Let d(o) = -48*o**2. Let y(v) = 5576*v**2 - 11245*v**2 + 5539*v**2. Determine d(y(x)). -811200*x**4 Let b(y) = -151594*y. Let j(c) = -3052*c**2. Determine j(b(o)). -70137221031472*o**2 Let q(p) = -57*p**2. Let h(t) = 6*t - 4. Let o(m) = -7*m**3 - m**2 - m - 2. Let v be o(-1). Let b(s) = 7*s - 5. Let r(f) = v*h(f) - 4*b(f). Calculate r(q(a)). -114*a**2 Let l(w) = 2*w + 2. Let r be (-13)/(39/(-6)) - 4. Let n(p) = p**2 + 3*p + 3. Let m(z) = r*n(z) + 3*l(z). Let i(u) = 7*u**2 - 2. Determine m(i(o)). -98*o**4 + 56*o**2 - 8 Let x(y) = y + 14. Let f(n) = -88*n**2 - 8. Let o(c) = -21*c**2 - 1. Let u(i) = -f(i) + 8*o(i). Determine u(x(t)). -80*t**2 - 2240*t - 15680 Let g(w) = w. Suppose 3*c + 0*c + 165 = 5*j, -85 = -3*j - c. Let v(n) = j - 3*n**2 - 3*n**2 + 5*n**2. Determine g(v(a)). -a**2 + 30 Let u(t) be the second derivative of t**4/6 + 30803*t. Let y(r) = -r. Let v be y(-2). Let q(j) = v*j - 5*j + 5*j + 30. Calculate q(u(a)). 4*a**2 + 30 Let u(j) = -351098*j**2. Let b(o) = 68*o. Give u(b(g)). -1623477152*g**2 Let r(a) = -7*a**2 + 96*a + 4. Let b(s) = -20*s**2 + 281*s + 11. Let u(i) = 4*b(i) - 11*r(i). Let d(n) = -n. What is d(u(j))? 3*j**2 - 68*j Let z(n) = n**2 + 489. Let j(q) = -998897*q. Determine j(z(o)). -998897*o**2 - 488460633 Let l(o) = -288*o**2 + 275*o**2 + 0 - 1 + 1. Let h(t) = 133*t**2. What is l(h(c))? -229957*c**4 Let n(a) = -5*a - 116. Let f(d) = 4*d + 105. Let q(z) = -9*f(z) - 8*n(z). Let y(j) = -3*j**2. Calculate q(y(l)). -12*l**2 - 17 Let g(m) be the second derivative of 0*m**2 - 1/4*m**4 - 13*m + 0 + 0*m**3. Let z(d) be the third derivative of 13*d**4/24 - 41*d**2 - d. Give g(z(q)). -507*q**2 Let t(u) = 125*u + 91*u + 129*u - 346*u. Let x(m) = -299*m**2. What is t(x(p))? 299*p**2 Let p(h) = -h**2 - 3135233. Let a(w) = -7*w. Give p(a(q)). -49*q**2 - 3135233 Let k(i) = -50*i - 5220. Let p(c) = c + 116. Let m(j) = -k(j) - 45*p(j). Let h(f) = 33*f. Let n(q) = -11*q. Let z(x) = 2*h(x) + 7*n(x). What is m(z(o))? -55*o Let d(t) = -82*t**2. Let o(z) = -z**2 + 1594025. Calculate o(d(g)). -6724*g**4 + 1594025 Let f(h) = -45*h**2. Let g(s) = 145322*s. Determine f(g(l)). -950331765780*l**2 Let o(z) be the third derivative of 13*z**5/15 - z**3/6 + 186*z**2. Let p(w) be the third derivative of -w**5/60 - 16*w**2. Calculate o(p(k)). 52*k**4 - 1 Let g(x) be the first derivative of -22*x**2 - 1. Let m(j) = 9*j. Let q = 432 + -427. Let h(r) = q*g(r) + 24*m(r). Let s(b) = -8*b**2. Give h(s(y)). 32*y**2 Let q(l) = 2*l**2. Let j(g) = g + 2. Let h(m) = -80*m. Let k(x) = -h(x) - 8*j(x). Calculate q(k(o)). 10368*o**2 - 4608*o + 512 Let x(b) = 2*b. Let z(y) = 19 - 10 - 2 - 44*y**2. Calculate x(z(n)). -88*n**2 + 14 Let a(x) be the third derivative of -x**5/30 - 20*x**2 + 3*x. Let r(t) be the first derivative of 3*t**3 + 26. What is r(a(j))? 36*j**4 Let a(c) be the third derivative of c**6/24 + 27*c**4/8 + 96*c**2. Let h(x) be the second derivative of a(x). Let d(l) = 0*l + l + l. Calculate h(d(w)). 60*w Let v(r) be the first derivative of 2*r**3/3 - 2. Suppose -10 = 2*m, -2*a - 11*m - 6 = -9*m. Let k(l) = -l**2 - 5*l**2 + 13*l**2 - 4*l**a. Determine v(k(i)). 18*i**4 Let l(r) = -23*r - 24. Let u(c) = 4*c + 4. Let j(f) = -l(f) - 6*u(f). Let v(k) = 106*k**2 + 2. What is j(v(p))? -106*p**2 - 2 Let b(g) = g**2. Let a(q) = q**2 - 2*q - 2. Let m(h) be the first derivative of 2*h**3/3 - 5*h**2/2 - 4*h - 227. Let l(d) = -5*a(d) + 2*m(d). Calculate b(l(s)). s**4 - 4*s**2 + 4 Let y(v) = 1 - 6*v - 1. Let t(g) be the third derivative of -g**5/40 + 13*g**3/3 + 46*g**2 + 1. Let f(d) be the first derivative of t(d). Determine f(y(w)). 18*w Let b(u) = -u. Let x(o) = 3*o. Let a(r) = -2*b(r) - x(r). Let f(m) = -32*m**2 - 45*m**2 - 25*m**2 + 99*m**2. Calculate f(a(q)). -3*q**2 Let k(w) = -2*w + 193. Let c(u) be the second derivative of u**4/3 - 323*u. Give c(k(h)). 16*h**2 - 3088*h + 148996 Let b(f) be the first derivative of -2380*f**3/3 - 29. Let t(a) = 3*a. Give t(b(p)). -7140*p**2 Let o(f) = 2206*f. Let r(i) = 28*i + 21*i - 95*i + 20*i + 24*i. Give r(o(x)). -4412*x Let p(u) = -15*u. Let m(k) = 1853*k + 5162. Calculate m(p(h)). -27795*h + 5162 Let a(o) = -2*o**2 + 3077. Let x(p) = 27*p. Calculate a(x(k)). -1458*k**2 + 3077 Let d(a) = 27*a + 5. Let n(w) = -16*w - 3. Let x(t) = 3*d(t) + 5*n(t). Let r(y) = 1438*y. Give r(x(z)). 1438*z Let g(o) = 5*o**2. Let n(d) be the first derivative of d**2 - 158*d + 751. Calculate n(g(c)). 10*c**2 - 158 Let t(k) = 5*k - 17. Let w(h) = 2*h - 6. Let j(v) = -6*t(v) + 17*w(v). Let m(u) = 2*u + 320. Calculate m(j(z)). 8*z + 320 Let i(p) = -167436*p. Let u(x) = 3*x**2 - 5. What is i(u(y))? -502308*y**2 + 837180 Let b(r) = -18*r - 2*r**2 + 3*r + 556 + 13*r + 788. Let a(t) = t. Calculate b(a(n)). -2*n**2 - 2*n + 1344 Let j(s) = -2*s - 1. Let v(g) = -13*g - 9. Let r(o) = -28*o - 20. Let d(t) = -2*r(t) + 5*v(t). Let h(n) = -d(n) + 5*j(n). Let q(w) = 43*w + 1. Give q(h(b)). -43*b + 1 Let z(r) = 9*r. Let b = 41/24 + -5/3. Let w(s) be the third
{ "pile_set_name": "DM Mathematics" }
ime factors of 15639600? 2, 3, 5, 13033 List the prime factors of 2858109. 3, 113, 8431 List the prime factors of 1263387. 3, 353, 1193 List the prime factors of 7012189. 41, 171029 List the prime factors of 373058. 2, 7, 26647 List the prime factors of 31674069. 3, 7, 139, 3617 List the prime factors of 9992174. 2, 4996087 List the prime factors of 1820448. 2, 3, 7, 43 List the prime factors of 20849609. 11, 349, 5431 What are the prime factors of 313179? 3, 104393 What are the prime factors of 271382? 2, 29, 4679 What are the prime factors of 436674? 2, 3, 7, 37, 281 What are the prime factors of 5578554? 2, 3, 67, 13877 List the prime factors of 28009961. 7, 853, 4691 What are the prime factors of 229958? 2, 31, 3709 List the prime factors of 1736910. 2, 3, 5, 7, 919 What are the prime factors of 8688728? 2, 1086091 List the prime factors of 525902. 2, 13, 113, 179 List the prime factors of 5369. 7, 13, 59 List the prime factors of 74961. 3, 8329 What are the prime factors of 8574529? 19, 59, 7649 What are the prime factors of 155123? 61, 2543 What are the prime factors of 3935219? 3935219 List the prime factors of 2650589. 17, 23, 6779 What are the prime factors of 2691953? 11, 101, 2423 What are the prime factors of 21312254? 2, 17, 53, 11827 List the prime factors of 9173207. 739, 12413 List the prime factors of 744055. 5, 13, 11447 List the prime factors of 248016. 2, 3, 5167 What are the prime factors of 1045085? 5, 197, 1061 What are the prime factors of 293063? 17, 17239 List the prime factors of 7920243. 3, 880027 What are the prime factors of 1078655? 5, 29, 43, 173 List the prime factors of 445129. 31, 83, 173 What are the prime factors of 17385393? 3, 191, 30341 List the prime factors of 341292. 2, 3, 7, 17, 239 List the prime factors of 595316. 2, 148829 List the prime factors of 27844. 2, 6961 List the prime factors of 27930751. 27930751 List the prime factors of 39182. 2, 11, 13, 137 List the prime factors of 10054946. 2, 11, 457043 What are the prime factors of 741815? 5, 89, 1667 What are the prime factors of 14826179? 14826179 What are the prime factors of 2475965? 5, 17, 29129 List the prime factors of 1286280. 2, 3, 5, 397 List the prime factors of 624265. 5, 124853 What are the prime factors of 290501? 31, 9371 List the prime factors of 14436338. 2, 7, 983, 1049 List the prime factors of 3487611. 3, 1162537 List the prime factors of 143534. 2, 43, 1669 What are the prime factors of 757093? 19, 39847 List the prime factors of 625279. 625279 List the prime factors of 21714360. 2, 3, 5, 59, 3067 List the prime factors of 98529. 3, 32843 What are the prime factors of 8186024? 2, 7, 11, 97, 137 What are the prime factors of 10053905? 5, 419, 4799 List the prime factors of 1642973. 59, 27847 List the prime factors of 1041744. 2, 3, 11, 1973 What are the prime factors of 1092001? 677, 1613 What are the prime factors of 23748588? 2, 3, 331, 1993 What are the prime factors of 12057? 3, 4019 List the prime factors of 1014600. 2, 3, 5, 19, 89 List the prime factors of 459780. 2, 3, 5, 79, 97 What are the prime factors of 4724121? 3, 31, 79, 643 What are the prime factors of 1114590? 2, 3, 5, 53, 701 What are the prime factors of 837090? 2, 3, 5, 71, 131 What are the prime factors of 872616? 2, 3, 103, 353 List the prime factors of 378999. 3, 4679 What are the prime factors of 387898? 2, 7, 103, 269 What are the prime factors of 21341860? 2, 5, 137, 7789 What are the prime factors of 464896? 2, 227 List the prime factors of 2416455. 3, 5, 53699 List the prime factors of 383641. 29, 13229 What are the prime factors of 772807? 7, 113, 977 What are the prime factors of 330837? 3, 13, 17, 499 What are the prime factors of 289012? 2, 72253 List the prime factors of 1167594. 2, 3, 17, 11447 List the prime factors of 9943575. 3, 5, 197, 673 What are the prime factors of 2415258? 2, 3, 17, 877 What are the prime factors of 855159? 3, 61, 4673 What are the prime factors of 963166? 2, 439, 1097 What are the prime factors of 2500938? 2, 3, 11, 17, 743 What are the prime factors of 3140744? 2, 392593 List the prime factors of 1030589. 7, 147227 List the prime factors of 2180843. 7, 44507 What are the prime factors of 229949? 229949 What are the prime factors of 13476005? 5, 103, 137, 191 List the prime factors of 107583. 3, 7, 47, 109 What are the prime factors of 755705? 5, 151141 List the prime factors of 759401. 759401 List the prime factors of 22719182. 2, 11359591 What are the prime factors of 1233789? 3, 23, 17881 List the prime factors of 314892. 2, 3, 8747 List the prime factors of 1162102. 2, 241, 2411 What are the prime factors of 426353? 426353 What are the prime factors of 1966844? 2, 11, 44701 List the prime factors of 5203707. 3, 409, 4241 What are the prime factors of 1855528? 2, 137, 1693 What are the prime factors of 31114? 2, 47, 331 List the prime factors of 49293. 3, 5477 List the prime factors of 523683. 3, 31, 1877 What are the prime factors of 33464295? 3, 5, 61, 73, 167 List the prime factors of 12655. 5, 2531 List the prime factors of 509236. 2, 7, 13, 1399 List the prime factors of 1053087. 3, 7, 50147 What are the prime factors of 218553? 3, 263, 277 What are the prime factors of 2096424? 2, 3, 11, 2647 What are the prime factors of 10778141? 11, 979831 What are the prime factors of 253364? 2, 97, 653 List the prime factors of 1789192. 2, 19, 79, 149 List the prime factors of 1349062. 2, 11, 13, 53, 89 What are the prime factors of 3106388? 2, 67, 173 List the prime factors of 27608. 2, 7, 17, 29 List the prime factors of 417409. 71, 5879 List the prime factors of 65338. 2, 7, 13, 359 List the prime factors of 2098047. 3, 7, 99907 What are the prime factors of 1845961? 13, 149, 953 List the prime factors of 7212840. 2, 3, 5, 60107 List the prime factors of 3317512. 2, 11, 37699 List the prime factors of 152590. 2, 5, 15259 List the prime factors of 472490. 2, 5, 37, 1277 What are the prime factors of 21687310? 2, 5, 2168731 List the prime factors of 1694018. 2, 847009 What are the prime factors of 4500927? 3, 181, 307 List the prime factors of 1859004. 2, 3, 7, 2459 What are the prime factors of 1531619? 1531619 What are the prime factors of 21591719? 43, 502133 List the prime factors of 45549. 3, 7, 241 What are the prime factors of 1305902? 2, 13, 50227 List the prime factors of 858430. 2, 5, 85843 What are the prime factors of 302912? 2, 4733 What are the prime factors of 1575692? 2, 43, 9161 List the prime factors of 830103. 3, 89, 3109 What are the prime factors of 238667? 11, 13, 1669 What are the prime factors of 393633? 3, 61, 239 What are the prime factors of 4077293? 11, 370663 What are the prime factors of 4009172? 2, 37, 103, 263 List the prime factors of 2692488. 2, 3, 43, 2609 What are the prime factors of 851016? 2, 3, 59, 601 List the prime factors of 649090. 2, 5, 13, 4993 What are the prime factors of 1743158? 2, 409, 2131 List the prime factors of 725643. 3, 80627 List the prime factors of 135986. 2, 67993 What are the prime factors of 5466213? 3, 607357 List the prime factors of 29478351. 3, 7, 127, 1579 List the prime factors of 294444. 2, 3, 8179 List the prime factors of 865972. 2, 216493 List the prime factors of 132246. 2, 3, 31, 79 List the prime factors of 175906. 2, 281, 313 What are the prime factors of 550171? 17, 32363 List the prime factors of 9454835. 5, 13, 145459 What are the prime factors of 224046? 2, 3, 461 List the prime factors of 12809285. 5, 2561857 What are the prime factors of 51853? 51853 List the prime factors of 185016. 2, 3, 13, 593 What are the prime factors of 5396499? 3, 599611 What are the prime factors of 172107? 3, 13, 1471 List the prime factors of 707011. 707011 What are the prime factors of 2281435? 5, 13, 35099 What are the prime factors of 4713643? 11, 23, 31, 601 What are the prime factors of 34060864? 2, 103, 5167 What are the prime factors of 200093? 73, 2741 What are the prime factors of 372107? 372107 What are the prime factors of 448383? 3, 13, 11497 List the prime factors of 297495. 3, 5, 11, 601 What are the prime factors of 6266426? 2, 3133213 What are the prime factors of 8916333? 3, 227, 13093 What are the prime factors of 2349671? 47, 49993 Wh
{ "pile_set_name": "DM Mathematics" }
+ 132199494.0000009. Let r = -30 + 15. Let o = r + n. What is o rounded to seven dps? 0.0000009 Let n = 434.000000217 + -434. Round n to seven dps. 0.0000002 Let o = 749696.378 - 750005.377559. Let c = o + 309. What is c rounded to 4 decimal places? 0.0004 Suppose -2*r = 3*a + 1, -r - 3*r = 2*a - 10. Suppose 6*i - 5*i + 383 = 4*j, 1493 = -r*i + 3*j. Round i to the nearest 10. -370 Let n = 1.088 + 0.092. Let w = 1.293 - n. Let r = -0.1 + w. Round r to two decimal places. 0.01 Let l(v) = -v**2 + 10*v + 6. Let m be l(10). Suppose -m*x - 1643 = 5857. Round x to the nearest one thousand. -1000 Suppose 0 = 6*u + 483477 + 1556523. What is u rounded to the nearest one hundred thousand? -300000 Let p(q) = -2175*q. Let y be (-4)/4*(-10 - 2). Suppose 0 = -a + y - 8. Let m be p(a). Round m to the nearest 1000. -9000 Let v = -3.83 + -101.17. Let r = 261.79 + -368. Let y = v - r. Round y to 1 decimal place. 1.2 Let h = -98.3614 + 99.92. Let i = h + -1.54. Round i to three dps. 0.019 Suppose 4 = -3*h - 5, 0 = -2*b - 3*h + 6531991. Round b to the nearest one million. 3000000 Let m = -550 - -549.9999641. Round m to six decimal places. -0.000036 Let o = 25.938698 + -24.7387. Let n = o + -1.2. What is n rounded to 5 decimal places? 0 Let f = -0.3424 - -1575.3424. Let k = f - 1573.603. Let h = k + -1.4. What is h rounded to three decimal places? -0.003 Let h = -349 + 344.87. Round h to 1 decimal place. -4.1 Let m = -1236 + 2544. Suppose -3*a - m = 4*v + a, v - 5*a = -339. Round v to the nearest ten. -330 Let s = 1747.64 + -1712. Let b = -10.83 + s. Let v = -26 + b. What is v rounded to 1 dp? -1.2 Let l = -4503 - -4581.82. Let m = 80 - l. What is m rounded to 1 dp? 1.2 Let f = -106.99094 + 107. Round f to three dps. 0.009 Let i = 66.6 - -223.4. Let j = -35876006.00131 + 35875716. Let a = j + i. What is a rounded to 4 dps? -0.0013 Suppose -3*k + 6569 = -4*k - l, 2*l - 32831 = 5*k. Let d = k + 3542. Let o = 1625 + d. Round o to the nearest one thousand. -1000 Let p = 1 + -0.4. Let v = -79715 + 79714.399816. Let q = v + p. Round q to five dps. -0.00018 Let c be 168748321/(-49) - 4/(-14). Let b be 6/(-10) + c/(-5). Suppose 0 = -w + b + 651232. What is w rounded to the nearest 100000? 1300000 Let y = -632245 - -251834. Let g = y + 380409.27101. Let l = -1.73 - g. Round l to 4 decimal places. -0.001 Let h(b) = b - 1. Let u be h(4). Suppose -4398 = 4*v + m, -7*v = -u*v + 2*m + 4400. Let z = v + 2699. Round z to the nearest one thousand. 2000 Suppose -4*q = 16*z - 15*z - 12525980, z - 5*q = 12526025. Round z to the nearest 1000000. 13000000 Suppose g + 0*g = -6. Let t(s) = -s**3 - 7*s**2 - 8*s - 7. Let h be t(g). Suppose h*o - 350 = -3*k, 3*k + 400 = 5*o + 20. Round o to the nearest ten. 70 Let d = 0.22 + 45.78. Let n = d - 45.05. Let r = 0.9500047 - n. What is r rounded to six decimal places? 0.000005 Let m be 1*-3 - 27/(-9). Let s be m + (0 - 3) - -6. Suppose 5*z + 84996 = -4*h, 4*h - h = s. Round z to the nearest ten thousand. -20000 Let v = -254.69 - -207.6. Let z = 47 + v. What is z rounded to one dp? -0.1 Let v = 47.74962 - 0.00962. Let q = -47 + v. What is q rounded to 1 dp? 0.7 Let u = -1.147 - -0.167. Round u to one dp. -1 Let x = 232 + -173.4. Let i = -14.4 + 80.4. Let t = x - i. What is t rounded to the nearest integer? -7 Let j = -1300 + 1299.99995104. Round j to 5 dps. -0.00005 Let a = 3866.62 + -3898. Let q = a + 32. Round q to one dp. 0.6 Let s = 26 - 23.2. Let x = 0.2 + s. Let d = -4.2 + x. Round d to 0 decimal places. -1 Let z = 0.04896 + -0.08337. Round z to 2 dps. -0.03 Let p = -3.367 + 152.467. Let d = -161 + p. What is d rounded to the nearest integer? -12 Suppose f - 5398 = -2*v, -9*f + 3*v + 26951 = -4*f. Round f to the nearest one hundred. 5400 Let c = 40.6 + -40.4. What is c rounded to two decimal places? 0.2 Suppose 0 = 5*b - 3*n - 15, 2*n + 0*n = -2*b + 22. Let t(v) = 8*v**2 + v + 6. Let y be t(b). What is y rounded to the nearest one hundred? 300 Let y = 4324.3020321 - 4324.3. Round y to four decimal places. 0.002 Let v = -21.77 + 21.770001277. Round v to seven dps. 0.0000013 Let b = -6 - 22. Let v = b + 28.032. Let l = 0.13 - v. Round l to two dps. 0.1 Let k = 5.86 + -5.8600537. Round k to six dps. -0.000054 Let f(k) = 697*k**2 + 5*k + 5. Let j be f(-2). Let z = j + -1173. What is z rounded to the nearest one hundred? 1600 Suppose -4*v + 362012 = 4*d, -2*d - 4*v + 126334 = -54678. What is d rounded to the nearest one thousand? 91000 Let d = 112 + -111.949. Let m = -7.03 - -7. Let o = d + m. What is o rounded to two dps? 0.02 Let b be (3 - -2) + -2*1. Let k be (b + (-15)/9)*3. Suppose 5*s = s + 3*t + 1846, 1838 = k*s + t. Round s to the nearest 100. 500 Let b(t) = 77822*t**2 - 13*t + 11. Let z be b(1). Round z to the nearest ten thousand. 80000 Let u = -27165138 - -52835138. Round u to the nearest one million. 26000000 Suppose 880 = -2*u + 18450. Suppose -5*b = a + 2*a - u, 0 = -4*b + 5*a + 7065. Round b to the nearest 100. 1800 Let q be ((-14)/4)/(5/(-5570)). Let l = 6516 - q. Let n = l + -5617. What is n rounded to the nearest one thousand? -3000 Let s = -18115 + 7975. Round s to the nearest one hundred. -10100 Let v = 6373 - 6373.02623. What is v rounded to three dps? -0.026 Let s = 5 - 4.1. Let z = s + -1.1. Let c = z + 0.19946. What is c rounded to 4 dps? -0.0005 Let u = -0.0388 + -3.1712. What is u rounded to the nearest integer? -3 Let r = 146.600003678 - 146.6. Round r to 6 dps. 0.000004 Let u = 116 - 106. Let n = 919.825 + -930. Let a = n + u. Round a to two decimal places. -0.18 Let f = 580 - 660.1. Let x = f + 86. What is x rounded to zero dps? 6 Let h be ((-2)/(-5))/((-1)/(-10)). Suppose -h*n - 4867 = 333. Round n to the nearest one thousand. -1000 Let k = -103 - -106. Let u = k - 2.99946. What is u rounded to 3 decimal places? 0.001 Let d = -964.132 - -998.1. Let o = d - -0.032. Let z = 34.000216 - o. Round z to 5 decimal places. 0.00022 Let q be (-5)/(-10) + 11/2. Let r be 6656277 + 5 + q/(-3). Suppose 3*v - 9843720 = r. What is v rounded to the nearest one million? 6000000 Let s = -6.019991 + -2421552.980009. Let g = s - -2421572.00013. Let m = 13 - g. What is m rounded to four decimal places? -0.0001 Let x = -8.77 + 9.3. Let l = -0.21 + x. Let m = l + -0.3217. Round m to 3 dps. -0.002 Let f = 287.9973 + -288. Round f to 4 dps. -0.0027 Let d = -407.62157 + 407.6. What is d rounded to 3 dps? -0.022 Let x = 0.009 + 0.035. Let q = x - 0.0355. Round q to three dps. 0.009 Let u = -145 + 135.85. Round u to the nearest integer. -9 Suppose 19*k - k = -214931592. Let c = k - -19940644. What is c rounded to the nearest one million? 8000000 Let v = 1.37 - -54.63. Let l = 21.4 - v. What is l rounded to zero decimal places? -35 Suppose -17536 = 5*i - 13*i. Suppose -2*z + 4*z + 1452 = -4*o, -o + i = -3*z. Round z to the nearest one hundred. -700 Let a = 106670 + -107328.69. Let d = 662 + a. Let r = d - 19.41. What is r rounded to the nearest integer? -16 Let v(j) = -18*j**2 - 7*j + 27. Let h be v(5). What is h rounded to the nearest 100? -500 Let s = -52.8 - -52.799999578. Round s to 7 decimal places. -0.0000004 Suppose -32*z - 57782 = -13942. What is z rounded to the nearest one thousand? -1000 Let s = -4870.7043 + 4871. Round s to two dps. 0.3 Let a(j) = 46*j**2 + 14. Let q be a(9). Let f be (-1 + -23999)/(q/625 + -6). What is f rounded to the nearest 1000000? 2000000 Let x = -0.0590229 + 0.059. Round x to 6 dps. -0.000023 Let i = 0.1250392 + -1.2249972. Let y = i - -1.1. Round y to 4 decimal places. 0 Let y(n) = -7*n**2 - 11*n - 14. Suppose 0 = 2*o - r + 10, -4*r - 13 + 8 = o. Let w be y(o). What is w rounded to the nearest ten? -130 Let z = -10066.3319 - -10067. Let j = 0.2384 + z. Let a = j - 0.9. Round a to three decimal places. 0.007 Let y be (485948/(-10))/((-5)/25). Let h = y - 56974. What is h rounded to the nearest ten thousand? 190000 Suppose 29*m = 27*m - 100800. Round m to the nearest ten thousand. -50000 Let q = 0.68 + -0.734. Let w = -6.854 - q. Round w to the nearest integer. -7 Let y = -880.89 - -957.3. What is y rounded to the nearest 10? 80 Let c = -450 - -450.000000252. What is c rounded to 7 dps? 0.0000003 Let d(j) = -j**2 - 1. Let f(y) = -6*y**2 + y - 14. Let u(k) = -5*d(k) + f(k). Let a be u(-10). What is a rounde
{ "pile_set_name": "DM Mathematics" }
023. Calculate q(-82). -3 Let y(n) = 2*n**2 + 75*n + 173. Determine y(-40). 373 Let c(k) = -483*k + 850. What is c(2)? -116 Let w(k) = 28*k + 1191. What is w(-14)? 799 Let p(k) = -2*k**2 + 29*k - 90. What is p(10)? 0 Let j(w) = 425*w + 8925. Give j(-21). 0 Let n(g) = 25*g + 272. What is n(-10)? 22 Let x(q) = -3*q**3 - 103*q**2 + 64*q - 207. Determine x(-35). 3 Let m(g) = -2*g**2 - 113*g - 103. Determine m(-57). -160 Let q(g) = -61*g - 46. Calculate q(4). -290 Let h(y) = y**3 - 51*y**2 + 111*y - 31. Give h(2). -5 Let f(x) = 5*x**3 + 39*x**2 + 126*x + 428. Calculate f(-6). -4 Let p(v) = -3*v - 41. Calculate p(-18). 13 Let l(q) = -208*q + 1271. Calculate l(6). 23 Let a(d) = 114*d**3 + 2*d**2 + 3*d - 4. Determine a(1). 115 Let d(o) = 35*o + 86. What is d(-2)? 16 Let u(q) = -2*q**2 - q + 588. Determine u(17). -7 Let o(t) = -2*t**2 + 100*t + 3. Give o(49). 101 Let z(d) = -d**3 - 370*d**2 + 363*d + 8. Calculate z(1). 0 Let q(b) = b**3 + 48*b**2 + 415*b - 620. Give q(-36). -8 Let k(f) = f + 45. What is k(-46)? -1 Let z(h) = h**3 - 10*h**2 + 5*h - 121. Give z(11). 55 Let a(p) = 2*p**3 + 4*p**2 - 19*p + 7. Calculate a(4). 123 Let h(n) = n**2 + 18*n - 59. Calculate h(6). 85 Let h(s) = s**2 + 64*s + 10. Determine h(0). 10 Let f(k) = k**2 - 14*k + 45. Determine f(14). 45 Let d(l) = l**3 - 31*l**2 - 142*l + 3521. Calculate d(32). 1 Let b(m) = -m**3 - 7*m**2 + 8*m + 18. Determine b(-6). -66 Let y(j) = -10*j**3 - 152*j**2 - 30*j + 16. Determine y(-15). 16 Let v(t) = -t**3 + 5*t**2 + 49*t + 8. Determine v(9). 125 Let g(t) = -3*t**2 + 88*t - 605. Determine g(11). 0 Let o(h) = -h**2 + 15*h - 10. Determine o(2). 16 Let j(k) = k**3 - 14*k**2 - 45*k + 839. What is j(12)? 11 Let u(a) = 4*a**3 + 39*a**2 + a + 25. Calculate u(-11). -591 Let l(a) = -a**2 - 76*a + 674. Give l(-84). 2 Let b(k) = -110*k - 7250. Give b(-66). 10 Let m(f) = -1328*f - 49134. What is m(-37)? 2 Let s(j) = 5*j - 115. What is s(21)? -10 Let z(i) = -10*i**2 - 53*i + 31. What is z(-10)? -439 Let b(j) = 14*j + 733. Determine b(-51). 19 Let u(d) = -8*d**3 - 9*d**2 + d + 14. What is u(-3)? 146 Let f(v) = 2*v**2 + 44*v - 189. What is f(4)? 19 Let b(v) = -109*v - 2182. Calculate b(-20). -2 Let b(x) = -4*x**2 + 24*x + 10. Give b(5). 30 Let z(i) = -2*i**3 + 42*i**2 - 158*i - 6. Determine z(5). 4 Let l(c) = 3*c**3 - 107*c + 16. Determine l(-6). 10 Let t(d) = 2*d**2 - 69*d - 499. What is t(38)? -233 Let i(w) = -w**3 + 19*w**2 + 3*w + 22. What is i(19)? 79 Let f(i) = -12*i**2 - 255*i - 993. Give f(-16). 15 Let w(d) = 73*d - 504. Determine w(7). 7 Let o(d) = -132*d + 3448. Calculate o(26). 16 Let u(d) = -2*d**2 + d - 227. Calculate u(-15). -692 Let c(r) = 2*r**2 + 131*r - 821. Determine c(-72). 115 Let q(r) = r**3 + 10*r**2 + 19*r + 25. Give q(-6). 55 Let s(o) = 22*o + 646. Give s(-29). 8 Let f(d) = -2*d**3 + 3*d**2 + 4*d - 26. Give f(6). -326 Let t(u) = -2792*u**2 - 13957*u + 16. Determine t(-5). 1 Let h(y) = 1169*y + 36260. Give h(-31). 21 Let j(u) = u**3 - 12*u**2 - 200*u + 772. What is j(20)? -28 Let r(g) = 2*g**2 + 5*g - 601. Calculate r(0). -601 Let r(j) = -j**3 - 39*j**2 + 192*j + 865. Calculate r(-43). 5 Let d(y) = -3*y**2 + 249*y + 403. What is d(82)? 649 Let y(a) = 39*a + 25. Calculate y(11). 454 Let t(d) = -27*d**3 + 4*d**2 + 76*d + 73. Calculate t(-1). 28 Let q(w) = -w**3 + 47*w**2 + 52*w - 225. Determine q(48). -33 Let t(h) = -15*h + 794. Determine t(46). 104 Let q(j) = 4*j**3 + 3*j**2 - j + 8. Give q(-4). -196 Let g(y) = 160*y - 2273. Calculate g(14). -33 Let l(t) = t**2 - 127*t - 251. What is l(-2)? 7 Let a(j) = -118*j + 21123. Determine a(179). 1 Let d(i) = -i**3 + 36*i**2 - 82*i + 475. What is d(34)? -1 Let y(q) = -4*q**3 + 13*q**2 + 180*q - 201. Determine y(8). 23 Let w(h) = -h**2 - 129*h + 404. Determine w(-132). 8 Let c(f) = f**3 - 9*f**2 - 361*f + 54. Give c(24). 30 Let m(n) = -2*n**3 + 236*n**2 + 478*n + 272. Determine m(120). 32 Let q(v) = 20*v**3 + 336*v**2 - 85*v - 297. Calculate q(-17). -8 Let o(x) = -13*x**2 - 5*x - 4. Determine o(4). -232 Let y(r) = -r**3 + r**2 + 44*r + 1. Give y(8). -95 Let x(f) = -f**3 + 40*f**2 - 352*f - 317. Determine x(26). -5 Let g(f) = 1243*f - 21135. Calculate g(17). -4 Let o(j) = -53*j + 265. Calculate o(14). -477 Let w(n) = -n**2 - 136*n - 1795. Give w(-15). 20 Let x(f) = f**3 + 23*f**2 + 4*f + 44. Give x(-23). -48 Let n(g) = g**2 - 8*g - 84. Calculate n(-14). 224 Let m(t) = -t**2 + 962*t - 20677. Determine m(22). 3 Let p(b) = -3*b**3 + 71*b**2 + 21*b + 49. What is p(24)? -23 Let z(v) = -26*v - 276. Determine z(-11). 10 Let n(q) = 7*q**2 + 34*q + 159. Give n(-6). 207 Let m(i) = -13*i**2 - 138*i + 15. Determine m(-10). 95 Let g(i) = -4*i**3 - 11*i**2 + 3*i - 209. Determine g(-5). 1 Let a(c) = 1627*c + 13029. Determine a(-8). 13 Let k(g) = 4*g**3 + 126*g**2 - 27*g + 1182. Give k(-32). -2 Let d(z) = z**3 + 2*z**2 - 5*z - 35. What is d(3)? -5 Let i(w) = -2*w**3 + 435*w**2 - 650*w + 502. Determine i(216). 70 Let f(h) = 3*h**2 - 16*h - 17. Determine f(6). -5 Let h(z) = -8*z + 235. Determine h(31). -13 Let c(x) = -14*x**2 - 717*x - 160. What is c(-51)? -7 Let x(z) = 4*z**2 - 105*z + 107. Calculate x(1). 6 Let h(l) = 95*l**2 - 2563*l - 60. Determine h(27). -6 Let z(s) = -s**3 - 12*s**2 - 2*s + 49. Give z(-11). -50 Let s(c) = -c**2 - 925*c - 10069. Give s(-11). -15 Let x(b) = -134*b + 1526. Calculate x(11). 52 Let l(k) = -68*k - 537. Calculate l(-8). 7 Let b(y) = -10*y - 139. What is b(-13)? -9 Let u(v) = -v**3 - 15*v**2 - 83*v - 87. Calculate u(-7). 102 Let c(t) = 2*t**2 + 51*t - 594. Calculate c(-34). -16 Let a(m) = -m**3 + 49*m**2 - 470*m + 81. What is a(36)? 9 Let b(j) = -922*j + 16607. Determine b(18). 11 Let m(c) = 24*c - 206. Determine m(22). 322 Let d(v) = 8*v**3 + 222*v**2 - 54*v + 40. What is d(-28)? -16 Let r(z) = 4*z**2 - 50*z + 71. What is r(11)? 5 Let u(t) = -2*t + 140. What is u(-27)? 194 Let j(u) = -87*u - 2067. Calculate j(-25). 108 Let m(i) = 2*i**3 - 15*i**2 + 15*i - 69. Calculate m(7). -13 Let b(j) = -j**2 + 66*j - 824. Calculate b(49). 9 Let i(t) = t**2 + 126*t + 3128. What is i(-34)? 0 Let z(v) = -v**2 - 2*v + 103. Calculate z(-11). 4 Let s(f) = 30*f - 4555. Determine s(152). 5 Let g(o) = -3*o**3 - 57*o**2 - 41*o - 5. Determine g(-19). 774 Let o(n) = 39*n**2 - 1145*n + 33. Determine o(29). -373 Let i(d) = -d**3 + 10*d**2 + 10*d - 46. Calculate i(11). -57 Let w(t) = -t**3 + 61*t**2 + 35*t + 1724. Give w(62). 50 Let b(w) = 3*w**3 - 108*w + 217. What is b(2)? 25 Let l(t) = -4*t - 261. Calculate l(-53). -49 Let n(q) = 88*q**2 + 180*q + 10. Give n(-2). 2 Let a(c) = -51*c + 813. What is a(16)? -3 Let o(h) = h**3 - 14*h**2 + 25*h - 130. Calculate o(13). 26 Let o(g) = g**3 - 27*g**2 + 54*g + 58. What is o(3)? 4 Let k(j) = -4*j**2 + 3*j + 186. Calculate k(-6). 24 Let c(m) = -2*m**3 + 2*m**2 + 27*m - 4. Calculate c(-4). 48 Let f(m) = -271*m - 1088. Calculate f(-4). -4 Let c(b) = -83*b**3 - 2*b**2 + 3*b + 3. What is c(0)? 3 Let r(x) = x - 30. Give r(12). -18 Let k(g) = -1863*g + 24213. Calculate k(13). -6 Let f(p) = -52*p + 124. Determine f(11). -448 Let t(p) = -11*p**2 + 34*p - 36. What is t(1)? -13 Let u(p) = 34*p + 1648. Determine u(-48). 16 Let m(b) = -2*b**2 + 2041*b + 4081. Give m(-2). -9 Let h(n) = 3*n**3 - 240*n**2 + 233*n + 200. Calculate h(79). -116 Let k(a) = -47*a**2 - 277*a + 15. Calculate k(-6). -15 Let n(j) = -j**3 - 54*j**2 - 56*j - 150. Give n(-53). 9 Let g(c) = c**3 - 17*c**2 + 6*c - 100. Give g(17). 2 Let a(z) = -3506*z - 17485. Give a(-5). 45 Let t(h) = h**2 + h - 125. Calculate t(12). 31 Let g(a) = 146*a + 11965. What is g(-82)? -7 Let i(y) = -2386*y - 19086. Give i(-8). 2 Let s(b) = 947*b - 188446. What is s(199)? 7 Let c(i) = 519*i - 14018. What is c(27)? -5 Let l(v) = 17*v + 1231. What is l(-72)? 7 Let h(u) = -138*u + 264. Calculate h(2). -12 Let k(y) = -y**3 - 26*y**2 + 12*y - 62. Determine k(-27). 343 Let n(d) = d**2 + 65*d - 670. Determine n(9). -4 Let g(j) = j**2 + 26*j - 780. Calculate g(18). 12 Let q(c) = 24*c - 149. Calculate q(6). -5 Let p(q) = q**3 - 99*q**2 + 437*q - 33213. Give p(98). 9 Let u(t) = -t**3 + 56*t**2 - 155*t - 176. Calculate u(53). 36 Let u(n) = -61*n - 461. Give u(-13). 332 Let v(b) = -56*b**2 - 13552*b + 5. What is v(-242)? 5 Let m(c) = 13*c - 165. Calculate m(15). 30 Let n(t) = -2*t**2 - 45*t + 15
{ "pile_set_name": "DM Mathematics" }
t is -2ba8 + -4? -2bac In base 7, what is -602 - 406? -1311 In base 14, what is -6 - 4ada? -4b02 In base 7, what is 15156 + 13? 15202 In base 16, what is -614b7 + -5? -614bc In base 2, what is 10111000110110011 - 10111? 10111000110011100 In base 10, what is 17 + -10507? -10490 In base 13, what is 4 - -2873? 2877 In base 14, what is -9ba5 + 88? -9b1b In base 16, what is 3d + 5e? 9b In base 12, what is 1099 - -29? 1106 In base 3, what is 2200021 - 1202121? 220200 In base 7, what is -4 - 442640? -442644 In base 5, what is 1321444 + -101? 1321343 In base 15, what is -61 + -28? -89 In base 2, what is 11 + 100001101000011011? 100001101000011110 In base 10, what is -8058 - 7? -8065 In base 12, what is 5085b - -3? 50862 In base 13, what is -22377 - 12? -22389 In base 11, what is -94 - -2a6? 212 In base 14, what is -3a72b5 + -2? -3a72b7 In base 4, what is 300 - 22303? -22003 In base 6, what is -3500132 + -2? -3500134 In base 12, what is -24 + -18316? -1833a In base 8, what is 147705 + -5? 147700 In base 6, what is -4542421 - 1? -4542422 In base 14, what is 5758a6 - 4? 5758a2 In base 5, what is 310410 + 231? 311141 In base 11, what is 19272 - 100? 19172 In base 11, what is 6 - -33974? 3397a In base 13, what is 1443b - -b? 14449 In base 12, what is 35 + 3a85? 3aba In base 14, what is -61cd0 + 2? -61ccc In base 9, what is -10 + 15126? 15116 In base 10, what is -2 + 499741? 499739 In base 11, what is a7 - -1232? 1329 In base 16, what is ed68 - -2? ed6a In base 7, what is -6 + 41604? 41565 In base 13, what is 123 - -b7? 20a In base 16, what is 84e7d - 5? 84e78 In base 9, what is -10 + 34638? 34628 In base 5, what is -2224 - -1110? -1114 In base 14, what is -267b2 + 5? -267ab In base 5, what is 3 + -244423? -244420 In base 14, what is 95 - c? 87 In base 9, what is 4 - 13028? -13024 In base 10, what is -1 + 11517? 11516 In base 16, what is 7e2 + 48b? c6d In base 9, what is 136 - -485? 632 In base 3, what is 102022 - 12001? 20021 In base 10, what is -24 + 27525? 27501 In base 7, what is 5 - 2131016? -2131011 In base 7, what is 30 + -44256? -44226 In base 6, what is -30 + -12114234? -12114304 In base 10, what is 5 - 3981? -3976 In base 4, what is 2210111303 - 0? 2210111303 In base 7, what is -125 + -10225? -10353 In base 14, what is -73 - -106a7? 10634 In base 13, what is 88 + 43a? 4c5 In base 13, what is 29c - a9? 1c3 In base 14, what is -3a953 - 5? -3a958 In base 4, what is -1113 + -101113? -102232 In base 15, what is 41775 + 0? 41775 In base 4, what is 10032 + -210020? -133322 In base 2, what is -1100010000001 - 1100? -1100010001101 In base 15, what is 4 - 60b? -607 In base 5, what is -100440101 - 12? -100440113 In base 10, what is 9 - -5941? 5950 In base 6, what is 0 + -5354214? -5354214 In base 3, what is -122220010 - 110? -122220120 In base 3, what is 2001222221 - 211? 2001222010 In base 11, what is -1043a + 5? -10435 In base 12, what is bb58 - -5? bb61 In base 12, what is b653 - 0? b653 In base 2, what is -11110110100001000000 + 0? -11110110100001000000 In base 14, what is -65bbd - 14? -65bd3 In base 10, what is -5 + 177285? 177280 In base 10, what is 1251 + -411? 840 In base 10, what is 13 + -177625? -177612 In base 13, what is -1a006 + -7? -1a010 In base 15, what is -5 - -8b75? 8b70 In base 13, what is 3c2 - -1018? 140a In base 13, what is -10b65c8 - -3? -10b65c5 In base 13, what is 29c + -69? 233 In base 9, what is 3548744 + -4? 3548740 In base 8, what is -63477 + -3? -63502 In base 8, what is 655 + -242? 413 In base 7, what is 42515 - 5? 42510 In base 13, what is -23bb1 - -5? -23ba9 In base 6, what is -1133 - 2102? -3235 In base 16, what is -3 - e05e? -e061 In base 15, what is 11 - c210? -c1ee In base 14, what is 4 + -8dba1? -8db9b In base 10, what is 28 + 153634? 153662 In base 16, what is -54c - -11? -53b In base 12, what is 6471 - -24? 6495 In base 11, what is 0 - -375732? 375732 In base 14, what is 2aa + 89? 355 In base 10, what is 7085 + -4? 7081 In base 10, what is 38 - 73688? -73650 In base 12, what is 12 + -2a? -18 In base 8, what is 35 + 5617? 5654 In base 9, what is -102 + -6473? -6575 In base 6, what is 2 + -133254? -133252 In base 12, what is 1489b + -74? 14827 In base 9, what is -2535787 + -2? -2535800 In base 15, what is -4 + -d81d? -d822 In base 11, what is -226 + 11? -215 In base 6, what is 1532450 - -30? 1532520 In base 15, what is -16e23 - -4? -16e1e In base 5, what is -21 - 222102? -222123 In base 15, what is 13975 - 5? 13970 In base 12, what is -7b3a28 - -3? -7b3a25 In base 4, what is -1 + 11311000? 11310333 In base 7, what is 1536 + 325? 2164 In base 15, what is 1 + 3d25? 3d26 In base 7, what is -5 + -106152? -106160 In base 13, what is 150 + 876? 9c6 In base 15, what is -6c + 8e7? 87a In base 13, what is -141c6 + 7? -141bc In base 10, what is 1843 + -7? 1836 In base 11, what is -4 - 40815? -40819 In base 10, what is -6 - -6116? 6110 In base 8, what is 12316 - 256? 12040 In base 12, what is 59768 - 4? 59764 In base 5, what is -424 + -103103? -104032 In base 8, what is 123 + -542? -417 In base 11, what is 1320 + -15? 1306 In base 5, what is 33143 - -10? 33203 In base 8, what is 604 + 642? 1446 In base 4, what is 2 + 10302? 10310 In base 9, what is 856251 + -1? 856250 In base 3, what is 10221 - 1020? 2201 In base 3, what is 21002220 - 10? 21002210 In base 11, what is 5 - 180898? -180893 In base 15, what is -4 + -6dce? -6dd3 In base 14, what is -b + 18191? 18184 In base 16, what is -2 + 1592? 1590 In base 10, what is -2 - 3607? -3609 In base 2, what is -100 + -1000110101111111? -1000110110000011 In base 14, what is 8a5 + -1d7? 6ac In base 14, what is 3965 + -5? 3960 In base 6, what is -5322 + 2? -5320 In base 8, what is -32 + 3161? 3127 In base 9, what is -3 + 81664? 81661 In base 11, what is -232 + -121? -353 In base 10, what is 4 - -3597? 3601 In base 2, what is -11011110110 - 110011? -11100101001 In base 15, what is -3ccc + 7? -3cc5 In base 5, what is -2223 - 1012? -3240 In base 12, what is -1b - 596? -5b5 In base 12, what is 5b6 + b15? 150b In base 14, what is -190d96 - 3? -190d99 In base 10, what is 549 - -373? 922 In base 3, what is -110211111 - 2? -110211120 In base 3, what is -120101100 - -100? -120101000 In base 12, what is 25170 + -14? 25158 In base 4, what is -213011 - 20? -213031 In base 10, what is 943 - -184? 1127 In base 3, what is 11202222020 + 21? 11202222111 In base 8, what is -4 + -100054? -100060 In base 2, what is 10 - 1001110110010? -1001110110000 In base 10, what is 2 - -311091? 311093 In base 4, what is 3200013 + 10320? 3210333 In base 6, what is -2043 - -3040? 553 In base 2, what is 11001 + 100110111110? 100111010111 In base 9, what is -33334 - 4? -33338 In base 6, what is 551321 + -23? 551254 In base 8, what is 234 + 375? 631 In base 11, what is -144a49 - 1? -144a4a In base 12, what is -6 + -411b? -4125 In base 13, what is -1b + 198b? 1970 In base 5, what is -21013 - 1? -21014 In base 7, what is 213 + 24423? 24636 In base 9, what is -5234332 - 2? -5234334 In base 16, what is -5 - -344f1? 344ec In base 5, what is -14 + -2210202? -2210221 In base 15, what is -74 + -4? -78 In base 7, what is 5134 - -4453? 12620 In base 16, what is -38 + e? -2a In base 2, what is 10 - 1110100110001? -1110100101111 In base 13, what is -5 + 151b2? 151aa In base 4, what is -23 - -101202030? 101202001 In base 4, what is 3320 - 10001? -21 In base 5, what is -2 + -23123? -23130 In base 16, what is -3ee9 - c? -3ef5 In base 15, what is 10a34 + -5? 10a2e In base 5, what is 42 + -334224? -334132 In base 11, what is -1a - 40522? -40541 In base 5, what is 20 - 402340? -402320 In base 3, what is 10122 + 12012220? 12100112 In base 14, what is 4 + 2139? 213d In base 15, what is -494 + 19b? -2e8 In base 5, what is -313033402 - 1? -313033403 In base 12, what is -1b7 - 648? -843 In base 4, what is 12232 + -210? 12022 In base 10, what is 93 + 1543? 1636 In base 4, what is -3 + 13002222? 13002213 In base 12, what is 196948 + 4? 196950 In base 10, what is -496002 + -4? -496006 In base 10, what is -9 - 28247? -28256 In base 10, what is -3 + -1930? -1933 In base 15, what is a821 - 1? a820 In base 2, what is 101001001101111011 - -101? 101001001110000000 In base 8, what is 2213 + -60? 2133 In base 13, what is 6 + -859a? -8594 In base 5, what is 1
{ "pile_set_name": "DM Mathematics" }
2 in m, -0.2, -5? m Let l be 10/(-5) + 10/7. What is the closest to 0 in -0.3, 2, l? -0.3 Suppose -5*i = -2 - 8. Let y be i/(-14)*(1 + 1). Let p be ((-4)/10)/((-21)/15). What is the closest to p in 3/4, y, 3? 3/4 Let k = -0.01 + -0.03. Let g = -0.04 - k. Let y = -4 + 3.5. Which is the closest to g? (a) 2/9 (b) 1 (c) y a Let a = 32 + -37. Let o = 10 + -9.8. What is the closest to 2 in a, o, -0.2? o Suppose 11 = 5*j - 9, 0 = 4*w - j + 4. Let r = w + 1. What is the nearest to -0.4 in -0.3, 3/2, r? -0.3 Let l = -694 - -690.99. Let t = 0.01 + l. Let p = 3 + t. What is the closest to 1 in -2/11, p, 0.4? 0.4 Let h = 0.8 - -0.2. Let p = h - -3. Suppose -4*q = -q + 9. Which is the closest to -0.1? (a) -2 (b) p (c) q a Let h = -0.042 + 1.042. Let z be (4/(-35))/(12/(-14)). Which is the closest to h? (a) 4 (b) z (c) -0.4 b Let f = -60 + 60.3. What is the nearest to f in -2/5, -0.3, -2/7? -2/7 Let v = 4.5 - 8.5. Let u = 31/21 - 4/3. Let t = -463/6 + 78. Which is the closest to -0.1? (a) t (b) v (c) u c Let d = 1.3 - 0.85. Let u = d - 0.05. Let k = u - -0.6. What is the nearest to 0.1 in k, 0, 5? 0 Let g = 97 + -96.9. What is the nearest to g in 4, -1/4, -1? -1/4 Let d = 0.028 - -4.052. Let g = d + -0.08. Suppose -12 = 4*n + 4*u, -4*n - 2*u + 3*u = -8. Which is the nearest to n? (a) g (b) 1 (c) -3 b Let p = 0.009 - -0.051. Which is the nearest to -2? (a) -4 (b) p (c) 1 a Let n = 1.1 - 0.9. Let o be ((-10)/3 - -2)/10. Which is the nearest to -1/2? (a) -0.5 (b) n (c) o a Suppose 0 = -0*t + 2*t - 3*m + 71, 5*m - 141 = 4*t. Let x = 42623/1266 - 1/1266. Let h = x + t. What is the closest to -1 in 1/5, 5, h? h Suppose 2 = -o + 1. Which is the closest to o? (a) -4 (b) -1/11 (c) -4/7 c Let s = -7 - -7.2. Let u be (4 - 2)*5/10. Which is the nearest to 0.1? (a) u (b) 3/2 (c) s c Let n(x) = x**2 + 7*x + 9. Let q be n(-6). Suppose -6*p + 6 = -q*p. Let d be p/9*3/(-3). Which is the closest to d? (a) -3/2 (b) 4 (c) -0.2 c Let w be (2/(-4))/(54/(-24)). Let h be (-142)/(-60) - 1/6. Let d = 92/35 - h. Which is the closest to -1/3? (a) w (b) d (c) 0.5 a Let u be (-3)/(4 - 1)*-3. Let j = -5 + 5.2. What is the nearest to j in -5, u, -0.1? -0.1 Let d = -0.03 - -4.03. Which is the closest to -1? (a) d (b) 3/5 (c) 3 b Let r = 0.2 + 0.3. Let n be (-6)/4 - (-7 - -5). Let g = 6 - 4. Which is the nearest to n? (a) -0.5 (b) r (c) g b Let z = -9.6 + 9.5. Let a be 1/2 - (2 - 1). What is the closest to -1 in -1, z, a? -1 Let x = 10 + -17. Let n = -7.2 - x. What is the nearest to -2 in -2/7, n, 1? -2/7 Suppose -f - 2 = -3. Suppose -t = -0*j - j + f, 4*j = 8. What is the closest to t in 3, -2, -0.1? -0.1 Let s = 1.3 + -1.6. Which is the nearest to 0.1? (a) -1/2 (b) 0.3 (c) s b Let j be (2/2 + -2)*6/18. Which is the closest to j? (a) 0.2 (b) 1 (c) -2 a Let w = 0.156 - 0.056. What is the nearest to 2 in 2/3, 0.4, w? 2/3 Let v = 0.09 + 0.21. What is the closest to 1/5 in -2, v, 3/4? v Let n = 3.17 - 0.17. What is the nearest to 1 in 0.2, n, -0.1? 0.2 Let w be 28/13 + (-4)/2. Let c = -44 + 41.1. Let k = 3 + c. What is the nearest to 0 in k, w, 0? 0 Let z = 0 - 0.1. Let w = -355 + 357. What is the nearest to 0 in -2/3, z, w? z Let v = 0.04 + 0.16. Which is the closest to -1? (a) v (b) 2 (c) 0.05 c Suppose 3*m - m = -q, 0 = 4*q - 16. What is the closest to -2 in m, -0.1, -3/4? m Let s = 0 + -0.1. Let k = 1.8 + -2. What is the nearest to s in -6/5, k, -1/9? -1/9 Let y = -0.3 + 0.7. Let g = 0.074 + 0.926. Which is the closest to g? (a) -1 (b) y (c) 2/9 b Let v = 50 - 154/3. Which is the nearest to -3? (a) 2/7 (b) 1 (c) v c Let h = 0.17 - 0.67. Which is the nearest to -0.1? (a) h (b) 3 (c) -2 a Let h = -0.4 + 0.3. Let a = 0.5 + -0.4. Let j = -2.2 - -0.2. What is the closest to 2/5 in h, j, a? a Suppose 38 = 3*g - 5*g. Let o = g + 96/5. Which is the closest to o? (a) 1 (b) -2 (c) -0.1 c Let t = -126.9 - -127. Let d be (12/9)/(4/(-18)). Let n = 1 + d. Which is the closest to -1? (a) n (b) t (c) 2 b Suppose -2*u + 8*q - 3*q = -5, 4*u + 5*q + 35 = 0. Suppose 5*o - 18 - 7 = 0. What is the nearest to 1/2 in u, o, 0? 0 Let u = -3.8 + 0.8. Let m = -3.1 - u. What is the closest to 1 in 0.1, -4, m? 0.1 Let m = -461/1953 - -3/217. Let s = 127 + -637/5. Which is the nearest to m? (a) s (b) 0 (c) 4 a Let w = -4.11 - -0.11. Let h = 5 + w. What is the nearest to 0 in h, -4, 0? 0 Suppose 6*w + 56 = 2*w. Let o be (-2)/4 + (-11)/w. Let f = -6 + 10. Which is the nearest to 0? (a) o (b) f (c) -2 a Let u(x) = x**3 + 14*x**2 - 16*x - 10. Let f be u(-15). Which is the closest to -1? (a) -2/5 (b) 0.4 (c) f a Let h = -71 - -71.4. Let j be 0 - -1 - (2 - 0). What is the nearest to 0 in 0.3, j, h? 0.3 Let f be (1716/(-21) + -1)/1. Let s = -83 - f. Let o = 0.8 - 1.2. What is the nearest to 0.1 in o, 0, s? 0 Let s = 23 + -22.8. What is the nearest to -1 in 2, s, -0.13? -0.13 Let p = -23.2 + 23. Let t be 4/(-70)*(-10)/2. Which is the closest to t? (a) -2 (b) 2 (c) p c Let j = -33.2 + 33. Let b = 3.1 + -3. What is the nearest to b in 2, j, -1/8? -1/8 Let j = 4.218 + -0.018. Let i = j - 4. Which is the closest to -1? (a) 1 (b) -0.2 (c) i b Suppose -4*f - f + 20 = 0. Let c(a) = -4*a**3 + 2*a**2 + 3. Let o be c(3). Let i = -263/3 - o. What is the nearest to -1 in f, i, -1/5? i Let a be (-2)/6 - 8/3. Suppose -4*o - 17 + 1 = 0. Let g = 4 + o. What is the closest to g in -2, a, -2/5? -2/5 Let i = -98/15 + 19/3. Let u be 4/6*(-2)/4. Which is the closest to -1? (a) i (b) u (c) -1/4 b Let b = 44 + -46. What is the nearest to -5 in 4/3, b, -1? b Let s = 22 - 24.1. Let n = -2 - s. Let o be (-2)/5*24/16. Which is the nearest to n? (a) 3 (b) 1/2 (c) o b Let d = -0.1 + 0.2. Suppose 0*h + h - z - 1 = 0, 5 = 5*h + 4*z. Which is the closest to h? (a) -0.2 (b) d (c) 3 b Let u = 98.8 - 99. Which is the closest to 2/13? (a) u (b) 0.4 (c) -0.1 b Let w = 0 - -1. Suppose -4*g - 3*v + 30 = 0, 4*v - 17 = -g - 3. Let o be -1 + 4/(16/g). Which is the nearest to o? (a) -1/7 (b) w (c) -0.4 b Let o = 5.2 + -1.6. Let c = o - -0.4. Let w = 0.46 + -0.06. What is the closest to -1 in -0.2, c, w? -0.2 Let o = -1 - -3/4. Let p = 0.1 - -0.9. Let g = 8 + -5. Which is the nearest to p? (a) g (b) o (c) -5 b Let p = 0.12 - 0.22. What is the closest to p in 5, 3/4, 3? 3/4 Let n(t) = t**3 - t**2 + 4. Let d be n(0). Let y = -0.2 + 1.2. Let z = y - 6. Which is the closest to 1/4? (a) d (b) 0.2 (c) z b Let d be 2 - ((-3)/5 - -2). Which is the closest to 2? (a) -0.1 (b) d (c) -5 b Suppose 4*b = -s - 6, 5*s - 2*b + b + 9 = 0. What is the closest to s in 0.1, -2, -0.3? -2 Suppose 6 = 3*w - 6, 0 = -5*t + 2*w - 33. Which is the nearest to 1/2? (a) -0.2 (b) 3 (c) t a Suppose -5*w = -3*h + 8, 2*w + 0 = -h - 12. What is the nearest to -1/3 in -1.4, 0.4, h? 0.4 Let v be 0 + (-1 - 5) + 1. Let t = -0.13 - -5.13. Let u = t + -4.8. What is the closest to 2/5 in u, v, -0.1? u Let z(x) = -6*x + 4. Let d be z(8). Let i = 353/8 + d. What is the closest to -0.1 in i, 1/3, 2? i Let a = -8 - -6. What is the nearest to a in 5, -2, -3? -2 Let v = 0.09 + -5.09. Suppose -1 + 3 = t. Which is the closest to -1? (a) 2/25 (b) v (c) t a Let m = -48 + 47. Which is the closest to -0.1? (a) 3/4 (b) m (c) -3 a Let j = -8 + 5. Let r be ((-4)/j - 3)*1. Which is the closest to -1/2? (a) -1 (b) r (c) -4 a Let z = -1.7 + -1.3. Let a = -0.85 - -0.05. Let j = a - -1. What is the closest to 0 in j, z, 2/5? j Let f = -0.344 - 0.056. What is the nearest to -2/19 in -1, -4, f? f Let a be 3/((-27)/(-31)) - 3. What is the nearest to 2/7 in -2, a, 0.1? a Let s = 0.13 + 0.87. Suppose -5*y = -15, 2 + 0 = -2*g - 2*y. Let f = 11 + -7. Which is the nearest to s? (a) -0.3 (b) g (c) f a Let u = 2/65 - 148/585. Which is the nearest to -0.1? (a) -5 (b) u (c) 2 b Let u = -6 - -6. Let s = 0.4 + u. What is the nearest to 0.1 in s, -0.5, 5? s Let t = -233 + 53. Let x be (-6)/27 - 64/t. What is the closest to 0.2 in x, -2, 0.2? 0.2 Let l be 1/1*(-2)/5. Let w be ((-3)/(-40))/(6/(-4)). Let g = 43/60 + w. Which is the closest to l? (a) g (b) -3 (c) -4 a Let r = 0 - 2. Let v be 1*(-1)/r*2. What is the nearest to 0.1 in -3, v, -1/9? -1/9 Let n = -17/69 - 2/23. Which is the closest to -2? (a) -6 (b) 0 (c) n c L
{ "pile_set_name": "DM Mathematics" }
s + 89887. Determine q(66). -5 Let u(o) = -o**2 - 2248*o + 339426. Determine u(142). 46 Let i(u) = -323*u + 15407. Calculate i(44). 1195 Let n(s) = -2*s**2 - 235*s - 6514. What is n(-48)? 158 Let p(c) = -33*c**3 + c**2 + 1272*c - 1275. Calculate p(1). -35 Let h(u) = -293*u - 18505. What is h(-65)? 540 Let t(p) = -18*p**3 - 4*p**2 - 335*p - 986. What is t(-3)? 469 Let z(u) = 2*u**3 + 658*u**2 + 656*u - 1. What is z(-1)? -1 Let s(c) = -c**3 - 27*c**2 + 7323*c - 87301. Give s(65). -6 Let b(o) = -171030*o + 2394413. Determine b(14). -7 Let z(o) = 2*o**3 + 32*o**2 - 50*o - 559. Determine z(-16). 241 Let w(x) = 7*x**3 + 98*x**2 - 182*x - 2544. Calculate w(-14). 4 Let a(k) = -2*k**3 + 116*k**2 + 106*k + 4. Determine a(59). -704 Let z(k) = k**3 + 5*k**2 - 336*k - 61. Determine z(-21). -61 Let l(x) = 122977*x + 1106803. What is l(-9)? 10 Let h(t) = 5*t**2 + 597*t - 1385089. Determine h(470). 1 Let d(i) = -25*i**2 + 1396*i - 733. Give d(56). -957 Let h(r) = r**3 - 110*r**2 + 140*r - 2820. Calculate h(109). 559 Let d(x) = 78*x + 1071. Give d(-17). -255 Let o(h) = 234012*h - 18954966. What is o(81)? 6 Let g(i) = -3596*i + 3700356. Calculate g(1029). 72 Let c(r) = 1037*r + 12097. Give c(-13). -1384 Let j(s) = 2*s**2 - 1198*s + 12975. Calculate j(11). 39 Let m(j) = 3*j**2 - 1954*j + 23005. Calculate m(12). -11 Let v(r) = -534*r - 3084. Calculate v(-7). 654 Let k(n) = -19*n**2 - 10384*n - 91910. Give k(-9). 7 Let a(y) = -3*y**3 - 22*y**2 + 202*y - 89. Calculate a(-12). -497 Let v(t) = t**3 + 29*t**2 + 435*t + 11321. What is v(-28)? -75 Let y(v) = 1368*v**3 + 93025*v**2 + 67*v - 62. Calculate y(-68). 6 Let n(p) = -142*p**2 - 934*p - 29. Calculate n(-7). -449 Let p(k) = k**2 - 34*k + 710. Calculate p(31). 617 Let g(j) = j**2 + 521*j + 11477. Determine g(-23). 23 Let c(v) = 1503*v**2 + 4519*v - 5. What is c(-3)? -35 Let y(v) = -47*v - 3677. Calculate y(-78). -11 Let x(s) = -962*s - 54106. Give x(-57). 728 Let u(s) = 20335*s + 183042. What is u(-9)? 27 Let s(t) = -t**3 + 18*t**2 + 25*t - 911. What is s(16)? 1 Let a(f) = -12*f**3 - 624*f**2 - 9*f - 355. What is a(-52)? 113 Let a(f) = 10*f**2 - 49*f - 2. What is a(10)? 508 Let l(p) = -23085*p - 1523596. Give l(-66). 14 Let i(y) = 9*y**3 - 331*y**2 + 884*y - 552. Determine i(1). 10 Let g(t) = 22*t**2 + 1424*t - 1884. What is g(-66)? -36 Let u(d) = 1835*d + 126675. Give u(-69). 60 Let t(j) = 2*j**3 - 188*j**2 - 46*j + 4250. Give t(94). -74 Let q(f) = -883*f + 178370. Calculate q(202). 4 Let o(l) = 17*l**3 + 40*l**2 - 49*l - 194. Determine o(-4). -446 Let o(p) = -p**3 - 13*p**2 + 139*p + 61. Give o(-19). -414 Let o(t) = 2*t**3 - 1462*t**2 - 4467*t + 46226. Calculate o(734). -16 Let l(i) = -4691*i - 37854. Give l(-8). -326 Let h(k) = -159791*k + 11025542. What is h(69)? -37 Let v(f) = f**2 + 76*f + 975. Calculate v(-63). 156 Let h(s) = s**3 - 2735*s**2 + 16385*s + 1. Give h(6). 67 Let m(j) = -4140*j + 40632. Determine m(10). -768 Let p(l) = 237*l**2 - 18273*l - 153. Calculate p(77). -2001 Let q(m) = -m**3 + 34*m**2 - 100*m - 11. Determine q(30). 589 Let a(h) = 8*h**2 - 208*h - 28. Calculate a(25). -228 Let o(s) = -121*s**3 + 7*s**2 - 12*s + 6. Determine o(2). -958 Let g(b) = -30*b**2 + 259*b + 45. Determine g(5). 590 Let f(k) = -k**3 + 20*k**2 + 710*k + 54. What is f(-17)? -1323 Let g(z) = 867*z - 46847. Calculate g(54). -29 Let j(q) = q**3 + 47*q**2 + 392*q + 10. Calculate j(-38). -1890 Let n(r) = -r**2 + 906*r + 24874. Calculate n(-27). -317 Let m(x) = -2*x**2 - 242*x - 2677. Give m(-11). -257 Let l(a) = -40*a**2 + 587*a - 1925. Give l(5). 10 Let n(d) = 3462*d + 30988. Give n(-9). -170 Let b(p) = -25*p**2 - 121*p + 368. Calculate b(3). -220 Let h(u) = -202*u + 43416. Give h(215). -14 Let d(m) = -2*m**2 - 29*m + 27. Give d(-22). -303 Let t(m) = m**2 + 5450*m - 425373. Calculate t(77). 206 Let i(n) = 75106*n + 1126780. What is i(-15)? 190 Let a(n) = -1488*n - 26715. Calculate a(-18). 69 Let v(t) = -9*t**2 - 1342*t + 1346. Give v(1). -5 Let b(g) = -226467*g - 15852690. Give b(-70). 0 Let p(l) = -l**3 + 61*l**2 - 248*l + 684. Determine p(57). -456 Let v(n) = 6*n**3 - 414*n**2 - 6444*n - 609. What is v(-13)? 15 Let c(f) = -1021*f - 132722. What is c(-130)? 8 Let z(o) = -4*o**3 + 2*o**2 - 25*o + 33. Give z(4). -291 Let d(v) = -v**3 - 38*v**2 + 939*v - 1198. What is d(16)? 2 Let x(y) = y**3 + 258*y**2 + 2928*y + 36. Calculate x(-12). 324 Let l(s) = -5*s**2 + 204*s - 1787. Determine l(14). 89 Let c(h) = 1227*h + 1247. Give c(-1). 20 Let p(t) = 2549*t**2 - 122352*t - 15. Determine p(48). -15 Let l(t) = -2*t**3 + 3*t**2 + 938*t + 3644. Give l(-4). 68 Let u(d) = -2784*d + 16224. What is u(7)? -3264 Let s(q) = -7*q**2 - 75*q + 356. Calculate s(10). -1094 Let s(l) = -358*l - 21456. Determine s(-63). 1098 Let l(c) = 31716*c - 539155. Calculate l(17). 17 Let o(b) = -3*b**3 + 7*b**2 + 46*b - 38. Calculate o(5). -8 Let u(s) = s**3 + 134*s**2 - 25*s + 14821. What is u(-135)? -29 Let n(y) = y**3 + 713*y**2 + 13336*y - 10463. Give n(-20). 17 Let o(g) = -g**2 + 2229*g - 46421. Determine o(21). -53 Let c(k) = 2*k**3 - 8*k**2 + 99*k - 652. Give c(7). 335 Let x(b) = -15*b**3 + 2940*b**2 + 25*b - 4904. Calculate x(196). -4 Let o(v) = -2698*v + 83636. Calculate o(31). -2 Let t(s) = 3436*s + 24078. Give t(-7). 26 Let g(v) = 10277*v**2 - 10266*v - 9. Calculate g(1). 2 Let l(b) = 93228*b - 1118740. Give l(12). -4 Let b(w) = 627*w - 1483. Determine b(6). 2279 Let f(h) = h**3 - 667*h**2 + 4630*h - 72. Give f(7). -2 Let r(j) = 38*j**2 + 198*j + 587. Calculate r(-3). 335 Let w(i) = -5192*i + 2715459. Give w(523). 43 Let f(b) = 6*b**2 - 50*b - 326. Determine f(-10). 774 Let g(y) = -811*y + 2476. What is g(3)? 43 Let o(q) = -46955*q - 46930. Determine o(-1). 25 Let l(y) = 23360*y + 45486. Calculate l(-2). -1234 Let x(n) = -n**2 + 92*n + 4029. Calculate x(-40). -1251 Let b(x) = x**2 - 1243*x - 16334. What is b(-13)? -6 Let b(l) = -304025*l + 3952332. What is b(13)? 7 Let l(z) = -3*z**2 - 168*z + 1185. What is l(-62)? 69 Let q(p) = -40226*p - 201116. Determine q(-5). 14 Let v(x) = x**3 - 8*x**2 - 12*x + 23. What is v(5)? -112 Let r(m) = -5*m**2 - 165*m + 286. Give r(-35). -64 Let s(n) = -39*n**2 - 46*n + 79. What is s(-2)? 15 Let i(q) = -150*q - 13015. What is i(-83)? -565 Let c(q) = -3116*q - 884945. Give c(-284). -1 Let z(f) = -5*f**2 - 5252*f - 12577. Calculate z(-1048). -1 Let m(h) = 1349*h**2 - 84941*h - 2893. Give m(63). 5 Let d(j) = 2*j**3 - 2*j**2 - 985*j - 4604. Determine d(-5). 21 Let y(h) = -h**3 + 122*h**2 - 93*h - 5558. Calculate y(121). -2170 Let a(i) = -854*i - 78675. What is a(-92)? -107 Let d(k) = k**2 + 2863*k + 107384. What is d(-38)? 34 Let h(n) = 1023*n - 5674. What is h(6)? 464 Let b(i) = 221*i**2 + 1160*i + 1157. What is b(-1)? 218 Let k(f) = 20871*f - 396615. Calculate k(19). -66 Let g(n) = -n**3 + 21*n**2 + 122*n + 92. Give g(23). 1840 Let x(z) = 115*z**2 - 15863*z - 965. Calculate x(138). 1 Let u(z) = -128*z**3 - 10*z**2 - 794*z + 797. Calculate u(1). -135 Let i(l) = 9*l**3 - 2*l**2 + 36*l + 117. Calculate i(-6). -2115 Let b(h) = 231*h + 13449. What is b(-56)? 513 Let w(y) = 23158*y + 17817. Give w(-1). -5341 Let k(n) = 1131563*n - 9052504. Determine k(8). 0 Let w(v) = -7*v**2 + 14304*v - 14305. Calculate w(1). -8 Let j(t) = -241*t**2 + 65550*t + 427. What is j(272)? -117 Let q(n) = -11*n**3 - 70*n**2 + 23*n + 32. Give q(-6). -250 Let q(v) = -v**3 + 41*v**2 - 163*v + 5647. Give q(41). -1036 Let n(j) = -13*j**2 + 2489*j - 1136. What is n(191)? 10 Let q(f) = f**3 - 133*f**2 - 929*f - 547. What is q(140)? 6593 Let n(h) = -1154*h + 506695. What is n(440)? -1065 Let r(x) = -2425*x - 9341. What is r(-5)? 2784 Let w(k) = 3*k**3 + 44*k**2 + 141*k + 16. Calculate w(-5). 36 Let y(k) = -23*k**2 - 1410*k - 172. Determine y(-60). 1628 Let l(c) = 17*c**3 - 51*c**2 - 299*c + 10. What is l(-6)? -3704 Let q(f) = f**3 + 468*f**2 - 12347*f + 543. Determine q(25). -7 Let p(m) = -5*m**2 - 2042*m - 136237. What is p(-84)? 11 Let r(j) = 297*j + 3690. Determine r(-12). 126 Let q(c) = 8148*c + 73446. Give q(-9). 114 Let i(n) = 20*n**2 - 2010*n + 4911. Determine i(98). 11 Let u(z) = -z**2 + 886*z - 21519. Give u(25). 6 Let r(u) = -1185*u - 46257. Give r(-39). -42 Let p(z) = z**2 + 3800*z - 34451. Calculate p(9). -170 Let h(l) = -14660*l + 249210.
{ "pile_set_name": "DM Mathematics" }
is the remainder when 25 is divided by g? 9 Suppose -139 + 535 = 9*o. What is the remainder when 122 is divided by o? 34 Let t(w) = -w**2 + 2*w - 3. Let a be t(0). Let l(c) = -2*c**3 - 6*c - 5. What is the remainder when l(a) is divided by 18? 13 Let d(o) = 2*o**3 + 15*o**2 - 9*o - 8. Let b be d(-8). Suppose b = l - 9*l + 464. Calculate the remainder when l is divided by 12. 10 Suppose -4*k + 478 = 2*u, 5*u - 2*u + 137 = k. Let l = 70 + -21. Let j = l + -24. What is the remainder when k is divided by j? 22 Suppose b + b = -5*g + 50, -57 = -4*g - 5*b. What is the remainder when (3 + 1)*46/g is divided by 4? 3 Suppose x + 299 = 2*t, 4*t + 2*x + 64 = 642. Calculate the remainder when t is divided by 75. 72 Let i(v) = 18*v**3 + 2*v**2 - 1. Let l(j) = 22*j + 27. Let f be l(9). Suppose -f = -32*h + 29*h. What is the remainder when h is divided by i(1)? 18 Let u(p) = 40*p + 1 - 7*p - 2. What is the remainder when 62 is divided by u(1)? 30 Suppose -5*l - 2*c + 25 = -3*c, 0 = -3*l + c + 17. Suppose -l = 6*w - 22. Let f = -3 - -4. Calculate the remainder when w is divided by f. 0 Let j = 19 + -11. Calculate the remainder when (-392)/(-16) - -9 - (-1)/2 is divided by j. 2 Suppose l - 22 = -6. What is the remainder when (-98)/(-1) - (-8)/((-16)/6) is divided by l? 15 Let c = -62 + 94. What is the remainder when (7/21)/(3/558) is divided by c? 30 Calculate the remainder when 878 is divided by 912/42 + (-2)/(-7). 20 Suppose 5*o - 8*o = 0. Suppose -4*n + 2*w + 6 = o, -n = -5*n - 5*w + 13. Calculate the remainder when 7 is divided by n. 1 Let b = 351 - 338. What is the remainder when 60 is divided by b? 8 Suppose -31*a = -4*c - 29*a + 4742, -2*c - 5*a = -2377. What is the remainder when c is divided by 12? 10 Suppose -9*j + 14*j = 3345. What is the remainder when j is divided by 11? 9 Suppose -20 = 5*c, 16*d - c = 19*d - 20. What is the remainder when 13 is divided by d? 5 Suppose -14*g - 4128 = -57*g. What is the remainder when g is divided by 24? 0 Suppose -3*v - 3*v + 114 = 0. Suppose -j + v = -0*j. Calculate the remainder when j is divided by 7. 5 Let a(h) = 2*h. Let p be ((-1)/1)/((-4)/(-12)). Let k(u) = -u + 1. What is the remainder when a(2) is divided by k(p)? 0 Let d = 51 + -30. Let f = -19 - -166. Let q = 153 - f. Calculate the remainder when d is divided by q. 3 Let l(q) = 1. Let c = 13 - 12. Let k(r) = -3*r - 6. Let i(s) = c*k(s) + 4*l(s). Calculate the remainder when i(-1) is divided by 1. 0 Suppose 0 = -2*x + 3*x - 55. What is the remainder when x is divided by (-190)/(-14) - 54/(-126)? 13 What is the remainder when 84/(-714) - 2960/(-17) is divided by 62? 50 Let x(o) = 10*o**3 + o**2. Let k be x(-1). Let f(c) = c**3 + 7*c**2 - 21*c - 13. What is the remainder when 41 is divided by f(k)? 13 Suppose 12*d - 54 = 9*d. Let s(v) = v**3 + 21*v**2 + 17*v + 44. What is the remainder when s(-20) is divided by d? 14 Suppose 21 = -3*j + 6*j. Suppose -2*p = -b + 3*b - 48, 0 = 5*b + 2*p - 126. What is the remainder when b is divided by j? 5 Let d(t) = -t**2 - 6*t + 5. Let q be d(-6). Suppose 3*z = -q*x + 62, 2*z - 4*x = 6*z - 72. What is the remainder when z is divided by 4? 2 Suppose -5*b + 45 = 4*b. Suppose -b*k = -0*k + 10, 5*k = -2*n + 36. Calculate the remainder when n is divided by 16. 7 Suppose -6*p + 119 = -43. Suppose 0 = -2*i - v + 24, -i + 4*v + 10 = 5*v. What is the remainder when p is divided by i? 13 Suppose 3*b - k = 92, -b - 129 = -5*b - 5*k. Suppose 19 = 5*f + 3*q, 3*f + 0*f = 2*q. Suppose -8 = f*v - 24. What is the remainder when b is divided by v? 7 Let v(p) = 52*p**2 - 4*p - 4. Calculate the remainder when 229 is divided by v(-2). 17 Let d(v) = -v**3 + 6*v**2 - 4*v - 2. Calculate the remainder when 82 is divided by d(4). 12 Suppose -218*t + d + 374 = -215*t, d - 610 = -5*t. What is the remainder when t is divided by 18? 15 Let m = 330 + -260. What is the remainder when 136 is divided by m? 66 Let d = -13 + 2. Let y = d - -15. Suppose -40 = -y*q + 60. What is the remainder when 72 is divided by q? 22 Suppose -18*p + 725 = 7*p. What is the remainder when 38 is divided by p? 9 Let z(k) = -2*k**3 - 18*k**2 + 24*k + 36. Let r(u) = u**3 + 9*u**2 - 12*u - 18. Let c(b) = 7*r(b) + 3*z(b). What is the remainder when 8 is divided by c(-10)? 0 Let o(c) be the third derivative of c**5/60 - c**4/24 - c**3/6 - 4*c**2. Let l be o(1). What is the remainder when l + (-44)/(0 + -2) is divided by 8? 5 Let a = 849 - 828. What is the remainder when 218 is divided by a? 8 Suppose -10 = -4*f - 6. Suppose -3*m + s + 0*s = -16, m = 5*s - 18. Let a = m - f. What is the remainder when a is divided by 4? 2 Suppose -10 - 2 = -t. Suppose -c - 3 = -d, -5 - 2 = -4*d + 5*c. Let z(g) = -g**3 + 9*g**2 - 6*g + 6. Calculate the remainder when z(d) is divided by t. 10 Suppose -7*h = -4*h + 15. Let z(k) = -k**3 - 6*k**2 - 7*k - 8. Let d be z(h). Suppose 135 = 3*s + d*s. Calculate the remainder when s is divided by 8. 3 Let c(y) be the third derivative of -5*y**4/24 - 5*y**3/3 - 6*y**2. Let f be c(-7). Let v = f - 11. Calculate the remainder when 25 is divided by v. 11 Let z(i) = -11*i. Calculate the remainder when 2/(-1 - (-11)/10) is divided by z(-1). 9 Suppose -2*p + 70 = -d - 17, -d + 138 = 3*p. Calculate the remainder when p is divided by 33. 12 Suppose b - 3*b + o - 3 = 0, -4*b = -o + 7. Let d be (4/2)/(b/(-1)). Suppose -f + 0 = -d. What is the remainder when 2 is divided by f? 0 Suppose -6*j + 5*j = -12. Calculate the remainder when ((-6)/(-9))/((-5)/(-165)) is divided by j. 10 Suppose -61 = -4*t - 9. Let w = 38 - t. Calculate the remainder when (0 - -27)*328/123 is divided by w. 22 Suppose 2*o + 37 - 47 = 0, -4*n + 2*o = -130. Suppose 5*w - 44 - 34 = -4*p, -2*w - 4*p = -24. Calculate the remainder when n is divided by w. 17 Let r be (-3108)/56*4/(-6). Suppose -r*m + 39*m = 24. What is the remainder when -1 - ((-44)/(-2))/(-1) is divided by m? 9 Let u(s) = -s**2 - 65*s + 67. What is the remainder when u(-61) is divided by 105? 101 Suppose 4*z = -i, -3*i + i = 2*z. Suppose 0 = 5*p - 20 - i. Let f(r) = 2*r**3 - 7*r**2 + 6*r - 1. What is the remainder when 76 is divided by f(p)? 37 Let w be 21/12 - 2/(-8). Suppose -g - w = -4. Suppose -3*n + 50 = g*z - 3*z, 0 = 4*n - 4*z - 56. What is the remainder when n is divided by 10? 8 Suppose -62*x = -58*x + 4*a - 132, 0 = -3*x + 3*a + 93. Let p(g) = -10*g - 2. Calculate the remainder when x is divided by p(-2). 14 Let w = -31 - -45. Let m = 92 + -87. Suppose 7*j - 2*j - 245 = m*n, -5*j + n + 261 = 0. Calculate the remainder when j is divided by w. 11 Suppose -25 = -5*z, z - 241 = -7*l + 3*l. Suppose -3*v + 86 = l. Let h(a) = a + 7. What is the remainder when 30 is divided by h(v)? 14 Suppose -c = -3*k - 276, 2*k = c + k - 268. Let y = 390 - c. What is the remainder when y is divided by 32? 30 Let o be (-1)/(-3) + (-2)/(-3). Let v = o - -61. What is the remainder when v is divided by -8 - (4 - (21 - -7))? 14 Let x = 6 + -1. Suppose -n - n = 4*b - 136, x*b - 167 = -4*n. Suppose 4*u - 16 - 60 = 0. Calculate the remainder when b is divided by u. 16 Suppose -3*h + 8 = 2. Let j(a) = 6*a - 6*a + 4*a - a + 1 + h*a**2. What is the remainder when 4 is divided by j(-2)? 1 Let n = -8 + 13. Let v be ((-11)/33)/(2/(-618)). Suppose -3*a + 99 = 4*r, n*a - 45 = -r + v. What is the remainder when 57 is divided by a? 28 Let b(f) = -4*f**2 - 62*f + 39. What is the remainder when 102 is divided by b(-16)? 4 Let d(w) = -w**2 + 25*w - 111. Calculate the remainder when d(8) is divided by 15. 10 Let n = -521 - -554. What is the remainder when n is divided by 10? 3 Let j(r) = -2*r**2 - 14*r - 3. Let v be -14 - -13 - (-5)/(-1). Calculate the remainder when j(v) is divided by -2 - 7/((-7)/6). 1 Let r = 11 + 11. Let u be (-46)/(-4) + (-2)/(-4). Suppose -2*o + u + 0 = 0. What is the remainder when r is divided by o? 4 Suppose -5*y = 3*h - 26, 5*y - 10 = 5*h - 0*h. Let q(m) = -32 - h*m + 6*m + 28. Calculate the remainder when 31 is divided by q(5). 15 Let v(c) = 219*c - 1479. What is the remainder when (3 + -2)/(1/269) is divided by v(7)? 53 Let v = 1758 + -1473. What is the remainder when v is divided by 49? 40 What is the remainder when 77 is divided by (6/(-9))/(6/(-351))? 38 Let i(q) = -54*q - 2623. Suppose -5*u + 20 = -25. Suppose u*f - 4*f - 215 = 0. Ca
{ "pile_set_name": "DM Mathematics" }
e? False Is 122443 a prime number? True Is 11068363 a prime number? False Is 325029 prime? False Is 194877829 composite? False Is 713194453 a composite number? False Is 505919 composite? False Is 1729571 composite? True Is 50820841 a composite number? False Is 9642949 composite? False Is 6390719 a composite number? False Is 52749241 a composite number? False Is 3273923 composite? True Is 1644413 composite? False Is 196747349 a composite number? False Is 61831213 a prime number? True Is 53497833 a composite number? True Is 1533863 a composite number? True Is 6776153 a composite number? False Is 16960233 a prime number? False Is 110749477 composite? False Is 52355243 prime? False Is 1680901 a composite number? False Is 221919 a composite number? True Is 13643371 composite? True Is 27529807 a prime number? True Is 6225097 prime? True Is 83499883 composite? False Is 637817 prime? True Is 22535287 a prime number? True Is 1428897 a composite number? True Is 1595233 composite? True Is 133461337 prime? True Is 576907 composite? True Is 6066341 a composite number? False Is 13581587 prime? False Is 2552929 a prime number? False Is 4391393 composite? False Is 31674103 composite? True Is 3454739 a composite number? False Is 1852577 a prime number? False Is 90556153 composite? False Is 2197789 prime? False Is 34699477 composite? False Is 5832361 a composite number? False Is 2947517 a prime number? True Is 22131859 a prime number? False Is 1662103 prime? True Is 6032869 prime? True Is 8387369 composite? False Is 8977247 a prime number? True Is 64102 prime? False Is 696581 composite? True Is 5831183 a prime number? True Is 331387249 a prime number? True Is 17180983 composite? False Is 30740707 prime? True Is 10479137 composite? False Is 5698127 composite? True Is 2634733 composite? True Is 22836089 prime? False Is 5047873 prime? False Is 7588877 prime? True Is 1133731 composite? False Is 439626601 a prime number? False Is 5075761 a prime number? False Is 68427813 composite? True Is 11635963 a prime number? False Is 15926309 a composite number? True Is 12882953 prime? True Is 23466613 a composite number? True Is 115163 a composite number? False Is 368841397 prime? True Is 40079129 a composite number? False Is 14744327 prime? False Is 116598943 a composite number? True Is 1167317 a composite number? False Is 2296227 a prime number? False Is 2552233 a composite number? False Is 12233423 a prime number? False Is 3769361 a prime number? True Is 2615245 a composite number? True Is 12780803 prime? False Is 6648899 a prime number? False Is 921172093 composite? False Is 21877771 a composite number? False Is 164167991 composite? True Is 5584889 a composite number? False Is 29815463 composite? True Is 1363546 composite? True Is 2329891 prime? True Is 4027411 prime? False Is 58913059 a composite number? False Is 390329 prime? False Is 631453 composite? False Is 326863 a composite number? False Is 3916529 composite? False Is 107217833 prime? True Is 1990607 composite? False Is 240952139 a composite number? True Is 1516601 composite? True Is 74088401 a prime number? True Is 16471837 prime? True Is 19005799 a composite number? False Is 532884259 composite? False Is 43713113 composite? True Is 347879 composite? True Is 7536023 prime? False Is 24067507 a composite number? True Is 126936301 a prime number? False Is 11254321 a prime number? False Is 1982779 prime? True Is 138752051 a composite number? False Is 8158727 composite? False Is 200558417 a composite number? False Is 14226581 a composite number? True Is 6720113 a composite number? True Is 5989393 prime? False Is 253149577 composite? True Is 8369687 a composite number? False Is 9345145 prime? False Is 159143459 a composite number? False Is 3973205 a composite number? True Is 5233343 a composite number? False Is 4945001 composite? False Is 4039809 composite? True Is 879481 a prime number? False Is 1907123 composite? False Is 572947 composite? True Is 26482993 prime? True Is 251939 composite? False Is 6501419 composite? False Is 192529219 a composite number? False Is 42434921 a prime number? True Is 3814037 prime? False Is 72189011 prime? False Is 4549717 composite? True Is 78079721 a prime number? False Is 42150457 prime? True Is 39366211 a prime number? False Is 28694941 composite? True Is 4506121 a prime number? True Is 849861803 a composite number? True Is 9881871 prime? False Is 424586 composite? True Is 124639519 prime? False Is 51958583 prime? True Is 2244809 composite? True Is 2773387 a composite number? False Is 2796977 prime? True Is 3467909 a prime number? True Is 16645553 composite? False Is 145931233 a composite number? True Is 38907677 prime? True Is 241075817 a prime number? True Is 8089387 composite? False Is 9955031 composite? True Is 156071 a composite number? False Is 14607547 prime? True Is 5009363 a composite number? True Is 525137 composite? False Is 1382021 a composite number? False Is 156671959 a prime number? True Is 118799481 prime? False Is 2796437 a prime number? False Is 804257 a composite number? True Is 1540709 prime? True Is 183962033 a composite number? False Is 51489741 a composite number? True Is 3108139 prime? True Is 7567163 a composite number? True Is 2438591 prime? True Is 111493853 prime? False Is 310919 a prime number? False Is 4913873 composite? False Is 81250369 prime? True Is 13398747 prime? False Is 416440897 a prime number? False Is 74945137 a prime number? True Is 508222933 a prime number? True Is 98795461 prime? False Is 82223291 a prime number? True Is 669220859 composite? False Is 49102243 composite? False Is 387418783 a composite number? True Is 32364181 prime? False Is 1276501 a composite number? False Is 951221 a prime number? True Is 4191809 a prime number? False Is 4020481 composite? True Is 21641869 a composite number? False Is 1493777 composite? True Is 201229529 a prime number? True Is 130290623 composite? False Is 11064857 prime? True Is 711397 a prime number? True Is 11470543 a composite number? True Is 148596233 a prime number? False Is 606606739 a prime number? True Is 2027887 a composite number? True Is 9143859 a composite number? True Is 7185929 a prime number? True Is 763279331 composite? False Is 812089 prime? False Is 87484643 a prime number? True Is 3230459 composite? True Is 8203421 composite? True Is 138630221 a prime number? True Is 6372283 a prime number? False Is 23685319 a composite number? True Is 14810377 a prime number? True Is 130793 a composite number? True Is 34072387 a prime number? True Is 1290607 a prime number? True Is 33098999 prime? True Is 304207 composite? True Is 196669601 prime? True Is 1137961 a prime number? False Is 143856107 a composite number? False Is 47783293 a prime number? False Is 5528023 a composite number? False Is 20415221 composite? False Is 14125841 a prime number? False Is 1444853 a composite number? True Is 6915407 prime? True Is 56686877 composite? True Is 1723481 a prime number? True Is 1416637 a prime number? False Is 2876653 prime? False Is 72261307 a prime number? True Is 208727033 composite? False Is 6793373 a prime number? True Is 8832743 a prime number? False Is 51707827 a composite number? True Is 18862387 composite? True Is 25970129 prime? True Is 159707161 composite? False Is 33283973 prime? True Is 9504719 prime? False Is 66649201 composite? False Is 4750813 a composite number? False Is 4596187 a prime number? True Is 494989031 a prime number? False Is 5152573 a composite number? True Is 6317219 a prime number? True Is 80141 a composite number? False Is 11332547 a composite number? False Is 41503309 composite? False Is 132593261 a prime number? True Is 9983179 prime? True Is 63439333 a composite number? True Is 9536977 prime? True Is 643319641 composite? False Is 31003039 prime? False Is 23211577 composite? True Is 18806077 composite? False Is 13218559 composite? False Is 508438109 a composite number? True Is 181988551 a composite number? False Is 119232791 prime? False Is 23476097 a prime number? True Is 560186563 a composite number? False Is 61399607 a prime number? True Is 138621953 composite? False Is 116022239 composite? True Is 63121753 a composite number? False Is 39448943 prime? False Is 272
{ "pile_set_name": "DM Mathematics" }
/13))/(j**(-1/4))**(1/51) assuming j is positive. j**(120017/13260) Simplify (b**(-29)/(b*b**(-21))*((b**(-1/39)/b*b)/b)**(-7/4))**(-8) assuming b is positive. b**(2248/39) Simplify (b**(12/7))**(2/37)/(b/(b*b**31))**24 assuming b is positive. b**(192720/259) Simplify ((f/(f**1*f))/(f/f**4))**(2/27)*((f/(f/((f*f**(2/9)*f)/f))*f)/(((f*f**(1/3)*f)/f)/f))**(2/25) assuming f is positive. f**(202/675) Simplify ((x*x/(((x**(-9/7)/x)/x)/x)*x*x)**(-36)/(x**8/x)**(2/45))**48 assuming x is positive. x**(-1504928/105) Simplify ((((w/w**(-2/3))/w**(2/5))/(w**(-2))**28)**(-26))**19 assuming w is positive. w**(-424346/15) Simplify (((w/(w/((w/(w/(w/((w/w**(-1/4))/w))))/w)))/w)**(1/35))**(-2/19)*(w**(2/3))**8/(w/((w*w**0)/w))**43 assuming w is positive. w**(-30055/798) Simplify (((w/(w/w**(2/11)))**(2/91)*w**(-10/3)*w*w*w**(-9)/w*w)**(-1/6))**(1/27) assuming w is positive. w**(31019/486486) Simplify (l*l**(-2)*l*l**(-6)*l)**(-49)/((l/(l**(-1)/l))**(-36/5)*(l/((l/l**(-6))/l))/((l/l**(-5))/l)) assuming l is positive. l**(1383/5) Simplify (h**(1/21)/(h/(h*h*h**(-2/33)))*(h**(1/3))**0)**(-1/10) assuming h is positive. h**(-38/385) Simplify (b**(-7)*b*b*b**6*b*b)**38/(b**(-2/7)/b**4*b**(-3/2)*b/(b**(-2/23)*b*b)) assuming b is positive. b**(38865/322) Simplify ((z*z**11*z*(z*z**(-12))/z)/(z**(1/4))**(2/5))**(14/9) assuming z is positive. z**(7/5) Simplify ((o*o*o/o**(-1/11)*o*o**(1/7))/(o**(-6))**(-6/5))**(3/34) assuming o is positive. o**(-1713/6545) Simplify ((i*i/(((i*i/(i*((((i**2/i*i)/i*i)/i)/i)/i*i))/i)/i)*i*i/i**(1/3)*(i/(i**(-7)/i))/i**(-5))**(-34))**(-2/23) assuming i is positive. i**(3808/69) Simplify ((r/r**(-2)*r**(-2/19)/r*r**(1/4)*r/r**(-1/3))**(10/13))**(-1/34) assuming r is positive. r**(-305/3876) Simplify ((p/(p*p*p**1*p*p))**36)**(-1/12)*(p**(2/5)*p*p*p*p*p**1)**(-3) assuming p is positive. p**(-21/5) Simplify (z**(2/41)*z**(-4)*(z**13)**(-3))**(-10/11) assuming z is positive. z**(17610/451) Simplify (((i/(i/i**8))/i*i*i*i**(-10)/i*i*(i**5/i*i)/(i/(i*i**(3/5))))**(-23))**(-2/43) assuming i is positive. i**(1058/215) Simplify ((m/(m/(m/(m*m/(m/m**(-18)*m)*m*m))*m)*m**(-8/5))**(3/22))**(2/121) assuming m is positive. m**(216/6655) Simplify ((p**0)**46/(p/p**2*p)**50)**17 assuming p is positive. 1 Simplify (y**(3/10)*y*y**(-5)*(y/(y/(y*y**(-12))))/(y/((y*y*y/y**8*y)/y)))**28 assuming y is positive. y**(-2898/5) Simplify (q**(-3))**1*q**(12/7)/(q/(q*q**(-36/11)/q)) assuming q is positive. q**(-428/77) Simplify (((d/d**(-2))**(6/19)/(d/(d*(d**(-5)*d)/d)*d**5*d))**4)**11 assuming d is positive. d**(-8404/19) Simplify ((j*j/(j*j/(j/j**(2/9))*j*j)*j)**39*(j**(2/29)/j)**(-11/8))**(-1) assuming j is positive. j**(5141/696) Simplify (x/((x**(-2)*x)/x)*x**0*(x/x**(-1)*x)**(-23))/((x*x**(-2))**(-1/4)/(x/(x*x*x**(-1)))**(6/11)) assuming x is positive. x**(-265/4) Simplify ((m*m/(m*m*m/((((m**(-29)*m)/m)/m)/m)))/m*m)**(36/7)/(m/((m*m/(m*m/(m*m/m**(14/5))*m*m))/m))**31 assuming m is positive. m**(-10968/35) Simplify p**(-3/7)/(p**(1/3)/p)*((p*p**(2/3)*p)/p)/(p**3*p)*((p**2*p)/p**(-1/4))/(((p*p**(2/9)*p)/p)/p*p*p/(p*p**(-3))*p) assuming p is positive. p**(-1025/252) Simplify (x*x*x**1/x*x*x)**(12/11)*(x*x/(x/(x**(-3)*x)))/x*x**(-2/13)*(x**(-2/7))**49/(x*x**(1/3))**2 assuming x is positive. x**(-6202/429) Simplify (t**(2/29)*t**(-1)*(t**0)**(-18/5))/(t/t**(8/3)*t**(1/4)*t*t**(-6/11)*t/(t**(-2/5)/t)) assuming t is positive. t**(-45341/19140) Simplify (((x/(x/x**(-3/10)))/(x/((x**(1/2)/x)/x)))/((((x**(-2/9)*x)/x)/x)/(x/(x*x**(-1)*x))))/(x/(x/x**(-5))*x/x**(-8))**(23/4) assuming x is positive. x**(-1106/45) Simplify (w*w**27)**34*(w*w/(w**(8/9)*w)*w)**(-3) assuming w is positive. w**(2846/3) Simplify (g**1)**(-35)*(g/(g/(g*g*g**7*g)))/g**(-1/4)*(g/(g/g**(2/7))*g)**(-2/37)*g**(-9)/(g*g/g**(2/5)*g) assuming g is positive. g**(-188653/5180) Simplify (((d**(-1)/d)/d)/((d**2*d)/d))/(d**(5/2)*d**(2/13))*(d**(-2/13)*d**(-2/11))/(d**(-1/3)*(d**(2/7)*d)/d) assuming d is positive. d**(-47699/6006) Simplify (((q*q/q**(-1/6))/q)/(q/(q/(q/q**(-1/13)*q))))**(2/149)*q**(-1/4)*((q**8/q)/q)/q*q**(-6)*q**(-5/2) assuming q is positive. q**(-87449/23244) Simplify (x/x**(-2/15))**29/(x*(((x*x**(-12/7))/x)/x*x)/x*x)**(-20) assuming x is positive. x**(1951/105) Simplify ((j/(j*j**8))/j*j**(-4)/j)/(j*j**(1/2))**41*((j/((j**(-1/21)/j)/j))/(j*j*j**(-4/3)*j))**(-31) assuming j is positive. j**(-4969/42) Simplify (m*m/m**(-1)*m/m**(1/7)*(m/m**(2/5))/m**(2/11))/((m/m**(-2/7))**(-49)/(m**(-2/7)*m)**(-15/2)) assuming m is positive. m**(6811/110) Simplify ((q**(1/5)/q)**(2/111))**(-2/65)*((q/q**(-2/25))/(q**10*q))**50 assuming q is positive. q**(-17893184/36075) Simplify ((j**(-4/5)/j)/((j**2*j)/j))/(j**(-1))**(-27)*j*j*j**4*j*(j**(1/4)*j)/j*j*(j**(-2/3))**12 assuming j is positive. j**(-611/20) Simplify (q/(q*q/q**3)*q*q*q/(q/(q*q**6*q))*q*((q*q*q**(-2)*q)/q)/(q*q**(-2)))/((q/(q**(-4)/q)*q)/(q*q*q**(4/7)*q*q)*(q**0/q)**(-50)) assuming q is positive. q**(-269/7) Simplify (((p**(2/169)*(p**10/p)/p)**(1/17))**3)**(2/3) assuming p is positive. p**(2708/2873) Simplify ((z*z/(z*z*z**4*z))**(-28)*z**(-1/7)/z**0)**(-1/41) assuming z is positive. z**(-979/287) Simplify ((((l**5/l)/(l*(l**(-8)*l)/l*l))**(-32))**(-2/29))**(-8) assuming l is positive. l**(-5120/29) Simplify ((u/(u*u/u**(7/8))*u**(7/5))/(((u**(2/73)/u)/u)/(((u/((u/u**(-26))/u))/u)/u)))**40 assuming u is positive. u**(-69357/73) Simplify (f**(-1/2)/(f**(2/9)*f))/(f*(f*((f*f**(-1/4))/f)/f)/f)**(-21)*(f**(1/3)*f**(2/5)*f)/((f/(f*f**0))/((f*f**0)/f)) assuming f is positive. f**(-943/180) Simplify (((u**(-2)/u)**(-13)/((u/u**(1/13))/u**(-1/3)))**(5/4))**(1/3) assuming u is positive. u**(1840/117) Simplify (w/(w*w*w**(-3/7)*w)*w*w/(w**(-8)/w))**(2/39)/((w/w**(-2/3))**(-36)*(w**2/w)**(-11)) assuming w is positive. w**(6505/91) Simplify ((g*g*g/(g**(2/13)*g)*g)/(g**(-8)/g*g*g))**(-47)*((g/(g*g**(2/3)))**(1/7))**33 assuming g is positive. g**(-42398/91) Simplify ((j**1/(j**(2/9)*j))/(j**(-8)*(j/(j*j*j*j/(j*j**2))*j)/j))**(-37) assuming j is positive. j**(-2590/9) Simplify (u**(-2)/((u*u/((u**(-2/7)/u*u)/u))/u))/((u*u**5)/u**(1/6))*(u/u**(-5))/u**(-1/2)*u**3/(((u/((u*u/u**(2/7))/u))/u)/u) assuming u is positive. u**(23/21) Simplify (r**(-1/9)/r*r**(2/19))/(r/(r/r**(-1))*r**(1/2)/r)*((r/r**1)**27)**6 assuming r is positive. r**(169/342) Simplify ((t**0)**(2/53))**(3/17)*(t**5/t**(-2))**(-2/11) assuming t is positive. t**(-14/11) Simplify (b/(b**(1/3)/b)*b**(-7))/(((b/(b*b/b**6))/b)/b**(-2))*((b/(b/((b*b*b**0)/b)*b)*b)/b)**(-32/7)/(b*b**(-6)*b**(-1/8)) assuming b is positive. b**(-149/24) Simplify ((d*d**(-2)*d)**(-17)/(d/((d**(-1)*d)/d))**(-39))/((d**0/(d*d**(1/5)/d))/(d**1/(d**(1/10)/d))) assuming d is positive. d**(801/10) Simplify ((s/(s**(8/13)/s))/s*s*s/s**(16/9)*(s**(1/11)*s)**(-3/29))**(-7/6) assuming s is positive. s**(-129059/223938) Simplify ((u*u/(u/(u**(-2/35)/u))*u)**(2/5)/((u*u/((u/u**(-6)*u)/u*u*u))/u)**(-5))**(-5/6) assuming u is positive. u**(3467/105) Simplify ((s*s**(2/7))**(-17/7))**(-23/4)/(s**(-3)*s**(-9)*s/(s*s/s**(-5))*s/s**3*s) assuming s is positive. s**(7243/196) Simplify (((c**(-3)*c)/c**9)/((c*c*c**(2/61)*c*c)/c**7))**(2/13) assuming c is positive. c**(-980/793) Simplify ((n/((n/(n*n**(-1/2))*n)/n))**(-10)*(n/(n/n**(-10)))/n*n*n/(n**16*n))**(-13) assuming n is positive. n**403 Simplify ((c/((c**(-1)/c)/c))/c*c)**2*(c**0)**(-4/7)*(c*c/c**1)**12*(c**0)**(1/39) assuming c is positive. c**20 Simplify ((d/(d/(d/d**(-1/3))))**(4/17)*d*d*d**(1/10)*d**(1/5))/((d/d**(1/4)*d*d)**(-42))**(-49) assuming d is positive. d**(-1442506/255) Simplify (h**(-3/7)/h*h/(h/h**(-6)))**48/((h**(-1/2))**(2/7)/(h**(-2)/h*h**(2/3))) assuming h is positive. h**(-7534/21) Simplify (y**4/y**(1/5)*(y*y**(2/7))**(-13))/(y**7/y**(2/7))**(-6) assuming y is positive. y**(958/35) Simplify (a**35)**(2/21)*(a/a**(3/28))/(a/a**36) assuming a is positive. a**(3295/84) Simplify ((t/(t*t**(1/4)))**16/(t**13/t*t**(5/3)))**(-16/3) assuming t is positive. t**(848/9) Simplify (q**(-1))**45*q/((q/(q/q**(-4)*q*q))/q)*q**(-3/2)*(q/(q/q**(-3/4)))/(q*q**(-2/21))*q**(-7)*q**(-7) assuming q is positive. q**(-4549/84) Simplify ((j**(1/6)/(j**(1/9)*j)*j**1/((j/(j*j/(j/(j**(-5)*j)*j))*j*j)/j))**9)**(2/19) assuming j is positive. j**(-107/19) Simplify (((q/(q*q*q**(-6)))/q)/q*
{ "pile_set_name": "DM Mathematics" }
(66/88)/(2/24). Solve 4*m + g = -3 for m. -3 Suppose 0 = -3*n + 4*n. Suppose n = t - 3*t. Solve -1 = -k - t for k. 1 Let g(b) = 7*b - 3 + 0*b - b - 2*b**2. Let m(o) = o**2 + 1. Let l(i) = -g(i) - 3*m(i). Let c be l(-5). Solve -c*h + 3*h = 0 for h. 0 Let h = -25 + 28. Suppose -2*i - 18 = -3*s + s, -h*s + 34 = 4*i. Solve -z - s = 4*z for z. -2 Let p(r) = 2*r**3 - 31*r**2 - 16*r. Let a be p(16). Solve a = -4*y - 36 + 16 for y. -5 Let h be (-28)/(-5) + 6/(-10). Let o = h - 2. Solve 2 = 4*s - o*s for s. 2 Let j(n) = -2*n + 24. Let x be j(11). Solve -x*u + 0 + 2 = 0 for u. 1 Let o(r) = -2 + r**2 - r**3 + 0*r**3 + 3*r**3 + r. Let i be o(1). Solve -14 = 4*q - i for q. -3 Suppose -r + 3*r = 8. Solve -r*w - 12 = 8 for w. -5 Suppose 7*l - 32 - 3 = 0. Let p = 3 + 2. Solve 5*o + p + l = 0 for o. -2 Let z be 8/36 + (-68)/(-18). Solve -4 = 2*w + z for w. -4 Suppose 0*m - 15 = -4*b + m, 4*b + m - 17 = 0. Suppose 5*n - 51 = -4*i + 53, 4*i - 68 = b*n. Solve i - 1 = -5*v for v. -4 Suppose -5*i + 21 + 3 = 3*f, -2*f + i + 3 = 0. Solve -6 = f*p - 0 for p. -2 Let h(i) = -i**2 + 7*i - 3. Let u be h(5). Suppose -u*q = -3*q - 32. Solve -3*x - 7 - q = 0 for x. -5 Let i(s) = s + 3. Suppose 2*k - 7*k = 3*o - 67, 2 = 2*k - 5*o. Suppose 4*u = -5*a + k, 14 = -a + 5*a - 2*u. Let p be i(a). Solve y = 3*y - p for y. 3 Let y = -9 - -11. Solve -q = -y - 3 for q. 5 Let o(i) = -3*i - 17. Let z be o(-6). Solve -n = -3 - z for n. 4 Let k(g) be the third derivative of g**5/20 - g**4/24 - g**3/6 - 2*g**2. Let t be k(-1). Solve -14 - 1 = -t*x for x. 5 Let w = 7 - 4. Solve 1 = w*x - 2 for x. 1 Suppose 2*o + 4*p = -18, 5*p = 4*o + p - 24. Let g be (-4 - -5)*2*o. Solve 0 = s - 0*s + g for s. -2 Let m be 3/3 + 26 + -1. Let r = m - 24. Solve -r*h = -0*h for h. 0 Let c be ((-2)/(-3))/(6/9). Suppose 3*m - 13 = -c. Solve 5*v - 14 = -m for v. 2 Let n be ((-10)/(-30))/((-2)/(-18)). Solve -4*l + n*l + 3 = 0 for l. 3 Suppose -5*s - 1 = -21. Let l(z) be the second derivative of -z**4/12 + z**3 - 2*z**2 + 2*z. Let p be l(s). Solve m - 3 = p*m for m. -1 Suppose 0 = 2*x - 0 - 10. Solve -12 - 3 = x*u for u. -3 Let u = -6 + 11. Solve 0*l = l - u for l. 5 Let v = -22 + 32. Let r(b) = 3*b + 7. Let n(g) = 7*g + 15. Let h(u) = -2*n(u) + 5*r(u). Let o be h(v). Solve -j = -6*j - o for j. -3 Let d(g) = -g**2 - 12*g - 23. Let y be d(-9). Suppose 0 = 2*x - 3*x. Solve y = k - x for k. 4 Suppose 0 = 5*w - 0*w - 50. Suppose -4*x - 21 = -2*j + x, 4*j - x = 15. Suppose -a + j*a - 5 = -3*q, 4*q - 3*a - 35 = 0. Solve 0 = -q*p + w for p. 2 Let f = 7 + -2. Suppose -f*l - 3*h = -l - 12, 5*h = 2*l - 6. Solve -5*i = -2 - l for i. 1 Suppose 0 = -0*p - 4*p - 12. Let m = p - -5. Solve -j = -m*j for j. 0 Suppose 4*j - 7*j + 45 = 0. Solve 2*l + l = -j for l. -5 Let s be 51/12 + 3/(-12). Suppose 7*m = 5*m. Solve m = k - s*k - 3 for k. -1 Suppose -3*k = 5*i - 64, 2*i - 3*k - 48 = -i. Let z = -6 - -6. Suppose -4*m + 4*w = 12, 4*m + z - 12 = -2*w. Solve 5*g + i = -m for g. -3 Let z(y) = y. Let m(a) = -a + 1. Let j(v) = 5*m(v) + 6*z(v). Let s be j(5). Let c = -7 + s. Solve c + 12 = -5*i for i. -3 Suppose 5*i = 8 + 2. Solve -i*y + 3*y - 2 = 0 for y. 2 Let c be 2/((-10)/(-4) + -2). Let k(d) = 2*d**2 + 3*d + 2. Let t be k(-2). Solve 0 = c*q + t for q. -1 Suppose 1 = -2*z + 3*z. Let x be 3 - z - (5 - 2). Let q be ((-3)/6)/(x/18). Solve q = -5*g - 16 for g. -5 Let o = 11 + -9. Suppose 0 = -f - o + 8. Suppose 4*u = 6 + f. Solve u*p - 4*p = -3 for p. 3 Let z(b) = 2*b**3 - 3*b**2 + 3*b - 5. Let j be z(2). Solve 0 = -s - j for s. -5 Let h = -1 - -3. Suppose g = h*g - 5. Suppose g*r - 15 = -0, -2*d - 2*r = -6. Solve 2*o = -d*o for o. 0 Let c(m) = -5 - 4*m**3 + 5*m**3 - 5*m + 2 + 3*m**2. Let i be c(-3). Let s be (-10)/25 - ((-8)/(-5) - 2). Solve s = -3*x + i - 3 for x. 3 Let s be (8/6)/((-2)/(-3)). Suppose c + 4*c + 52 = -2*k, -2*c - 21 = k. Let l = c + 15. Solve -l*a - s = 3 for a. -1 Let n be (-2)/2 + -1 + 2. Solve n = 4*k + 1 - 5 for k. 1 Let p(m) = m**2 + m + 5. Suppose -3*b = 3*d + 33, 3*b = b - 3*d - 23. Let r be (b/(-1))/2 - 1. Let f be p(r). Solve -h + f = 4*h for h. 5 Suppose -4*y = -5*v - 45, 5*y - 3*y - v = 27. Solve -j = 4*j + y for j. -3 Suppose 6 = -2*r + 3*r. Let o(n) = 2*n - 7. Let q be o(r). Solve -q*h - 23 = -8 for h. -3 Suppose -2*z + 2*b + 2 = 0, 0 = -z - b + 3 + 2. Solve -2*f - 5 = z*f for f. -1 Suppose -5*l = -5*a - 20, a + 10 = 5*l - 10. Suppose 0 = q - 0*q. Solve a = -z - q - 2 for z. -2 Let p(a) = 2*a**2 - 2*a - 2. Let t be p(2). Let z = 4 + t. Solve -z + 31 = -5*q for q. -5 Let x = 50 - 44. Solve 0 = -2*n - x - 2 for n. -4 Let s = -4 + 3. Let m(l) = -10*l. Let b be m(s). Let w be ((-25)/b)/(1/(-2)). Solve -w = -7*g + 2*g for g. 1 Suppose -5*u + 1 = -s + 2, 2 = 2*s - u. Solve s = z + 4 for z. -3 Let t(x) be the third derivative of x**6/120 - x**5/10 - x**4/4 - 5*x**3/6 - x**2. Let q be t(7). Solve 0 = 4*u - q + 18 for u. -4 Suppose -i - i = -8. Suppose -4*b + 16 = 0, 2*b = 5*w - 4 + 7. Solve -i*r + 5 = w for r. 1 Let a(t) = -t - 1. Let w(l) = -l**2 + 4*l - 7. Let d(q) = -4*a(q) + w(q). Let i be d(3). Suppose -o = -2*o + i. Solve -5*m - 2 = -o for m. 2 Let n be (18/24)/((-1)/4). Let g be ((-9)/1)/(6/(-4)). Let t = n + g. Solve t*m + 14 = -1 for m. -5 Let b be (4 - 3) + 2 - 3. Solve b = -7*m + 3*m - 16 for m. -4 Let g = 31 - 15. Let q(m) = 2*m + 6. Let j be q(-7). Let t = g + j. Solve t = -3*i - 7 for i. -5 Suppose 5*j - 29 = -4. Let p(h) = -h**3 + 12*h**2 - 12*h + 13. Let s be p(11). Let l be -1 + 4 - (-1 + 1). Solve -s*z = l*z - j for z. 1 Let u(a) = a**2 - 4*a - 2. Let y be u(-3). Suppose -5 = -4*b + y. Solve 4*g - 6 = b for g. 3 Let g be ((-2)/3)/((-10)/195). Suppose -2*x + y = -g, -2*y + 3*y + 3 = 0. Suppose c = o + 2*o - 13, -2*o + 2 = -4*c. Solve c*r + 9 = x*r for r. 3 Let k = -31 - -38. Solve -f - 6 = -k for f. 1 Suppose 2*b - 33 = 2*x - 1, x - 89 = -4*b. Suppose -2*w + 43 = w + 5*c, -w = 5*c - b. Let j = 21 - w. Solve -j = 2*o - 2 for o. -4 Let v be 2/(-4)*0*(-1)/(-2). Solve v = p + 1 - 2 for p. 1 Let j(z) = 3*z**2 - z + 1. Let f be j(1). Solve -2*m = -3*m - f for m. -3 Let z(u) = -u - 4. Let v be z(-6). Suppose -4*m - 7 = 2*j - 23, v*j = -5*m + 20. Let n(h) = -h**3 + 6*h**2 + 6*h + 9. Let a be n(7). Solve -a + j = -2*r for r. 1 Suppose 0*w + 2*w + 4 = 0. Let q be -1*(1 - w - 6). Solve 4 = q*i + i for i. 1 Let l = 3 + -7. Let d(u) = u**2 - 4*u - 5. Let j be d(l). Solve 2 = -5*r + j for r. 5 Let y(s) = -s**3 - 9*s**2 - s - 4. Let x = 12 - 21. Let b be y(x). Solve -4*n + b*n + 3 = 0 for n. -3 Let q(h) = -h**2 - 12*h - 8. Let v be q(-11). Solve v*p + 6 = -9 for p. -5 Suppose 5*i - 4*k = i + 8, -2*i + 3*k + 6 = 0. Solve 4*f + f - 20 = i for f. 4 Suppose 0 = -2*f - 3 + 11. Suppose 3*r - 6 = -3*c + 27, 2*c = 2*r - 18. Suppose -b + r = f*b. Solve -b*d = d - 15 for d. 5 Let f be (-8)/20 - (-22)/5. Let k = f + 7. Suppose -p - 4*w + k = -5*w, 2*w + 29 = 3*p. Solve 5*t = -p + 17 for t. 2 Suppose 3*k - 10 = o + o, 3*k = -4*o - 56. Let p(r) = r**2 + 12*r + 5. Let l be p(o). Let u be (-2)/4*(l + 0). Solve u*z + 2*z = 0 for z. 0 Suppose 0 = -3*i - 0 + 3. Suppose -26 + i = 5*y, -3*y - 11 = m. Solve -5*p - 2 = -m*p for p. -2 Let x(h) = h**2 + 6*h + 5. Let k be x(-5). Suppose 3*p - 4 - 2 = k, 6 = 4*w - p. Solve 3 = w*d + d for d. 1 Let b(v) = v - 7. Let p be b(9). Suppose 3*c - 2*g = -p*c + 10, 2*c - g - 4 = 0. Suppose -c*o = -0*o. Solve j + j + 10 = o for j. -5 Let t be (3/2)/((-6)/8). Let d = 1 + t. Let b be (d/(-3))/(1/9). Solve -b*l = -2*l for l. 0 Suppose -4*i = -0*i - 8. Let h be -5 + (4 - -7) + -3. Suppose 0*b + b = 7. Solve -b = -i*z + h for z. 5 Suppose -w + o - 3 = 0, -4*w + 1 + 2 = o. Let i be (-2)/1 + (5 - 7). Let c be 4/2 + -4 - i. Solve -8 = c*x - w for x. -4 Suppose 4*s - 104 = -2*z, 0*z - 3*z - 119 = -5*s. Solve -s = 6*m - m for m. -5 Let d(s) = s**2 + 5*s - 2. Let l be d(-4). Let k(i) = i**2 + 7*i + 11. Let y be k(l). Solve -2*a = 3*a - y for a. 1 Let n be ((1 - 1)*-1)/(-1). Solve n*z = z + 3 for z. -3 Let a be (-122)/(-8) - (3/(-4) + 1). Solve 0*m - a = 3*m for m. -5 Let v be (-2)/(-4) - (-7)/(-2). Let u be (15/v)/(1/(-2)). Let w be 4/10 + 26/u. Solve 4*x - w*x - 4 = 0 for x. 4 Let c(f) = f**2 - f - 4. Let s be c(0). Let h(j) = j + 5. Let k be h(s). Solve -3 = -u - k for u. 2 Suppose n - 50 = -47. Solve 0 =
{ "pile_set_name": "DM Mathematics" }
) - (-10 - -2). Suppose 0 = q + 3*z + 14, 0 = 5*q + 2*z + 26 - l. What is n(q)? 0 Let n(w) = w + 1. Let r(p) = 12*p + 90. Let t be r(-8). Give n(t). -5 Let x(q) = 3 - 4*q + 5*q - 7 + 5. What is x(-4)? -3 Let d(g) = g - 13. Let n be d(8). Let h(f) = -1 - f + 2 + 1 - f. Give h(n). 12 Let t = -10/11 + 51/44. Let x(g) be the first derivative of -1/2*g**2 - 4/3*g**3 + 1 - t*g**4 + 3*g. Determine x(-3). -3 Let b = 0 + 6. Let v(y) = -y**2 - 5*y - 3. Let c(h) = -5*h**2 - 20*h - 11. Let p(s) = -2*c(s) + 9*v(s). Let m be p(b). Let z(a) = 10*a**2 - a. Calculate z(m). 9 Let c(s) = -s. Let q(m) = -2*m. Let p(n) = 2*c(n) - 2*q(n). Suppose -13 = -3*l - 1. Suppose 3 = -4*v + 3*a, 3*v - 4*a + l = -7. Give p(v). 6 Suppose -3*h + 2*j + 27 = -j, 4*h = 2*j + 34. Suppose -2*v = -3*n - 6, -2*v + h = -4*n - 3*v. Let r(b) = 7*b + 2. Give r(n). -12 Let f(l) = 9*l - 7*l**3 + 10 + 6*l**3 - 43*l**2 + 37*l**2. Determine f(-7). -4 Let v(b) be the first derivative of 2*b**3/3 + b**2 - 2*b - 1. Let c(f) = -10*f**2 + 13*f**2 - 3 + 2*f - 1 + 2*f. Let j(n) = -3*c(n) + 5*v(n). Calculate j(2). 2 Suppose -3*f + w - 9 = 0, -4*f - 7 = -3*w + 5. Let j(c) = 2*c**2 + 4*c + 1. What is j(f)? 7 Let l(v) = v**3 + 5*v**2 + 3*v - 5. Let f be l(-4). Let b(x) = x**2 + x - 1. Calculate b(f). -1 Let r(i) = -i**2 + 4*i + 5. Let u be -6*1*2/(-4). Suppose -5*c - 5 = 2*o, 2*c = -3 - u. Calculate r(o). 0 Let s = 5 - 6. Let y(l) be the third derivative of 7*l**5/60 + l**4/24 - l**2. Calculate y(s). 6 Let a(j) be the first derivative of j**2/2 + 3*j + 4. Suppose -3*s + 13 = -3*r - 7*s, 0 = 5*s + 20. Let c = -2 - r. Determine a(c). 0 Let d(s) = -s + 1. Let y(p) = -p - 4. Let l(o) = -4*d(o) - y(o). Give l(-2). -10 Let s(k) = 2*k**3 + k**2 + 2*k + 2. Let p(q) = -8*q**2 + 1. Let z be p(-1). Let m = -9 - z. What is s(m)? -14 Let c(v) = -v**2 + 2*v + 16. Let j be c(5). Let w(s) = -7*s + 1. Calculate w(j). -6 Let a(l) = l**2 - 4*l - 1. Let b be 5*-2*((-18)/4 + 4). Give a(b). 4 Let h(o) = -o**2 - 5*o + 7. Let z = -39 - -33. Determine h(z). 1 Suppose -4*r - 2 = -2*r. Let h = -4 + r. Let g(q) = -q - 6. Calculate g(h). -1 Let n(q) = 4*q - 3*q + 2*q**2 + 0*q**2 - 4*q**2. Let s(o) = 5*o**2 - 2*o. Let m(t) = -11*n(t) - 6*s(t). Determine m(1). -7 Let z(c) be the third derivative of -c**4/24 + c**3/3 - 2*c**2. Let h be 69/9 - 5/((-45)/(-6)). Determine z(h). -5 Let d be (-2)/(-3) + (-6)/9. Suppose 3*y + w - 4 = 0, -w + 0 = -3*y - 4. Let z = d + y. Let f(v) = -v**3 - v**2 + v - 9. What is f(z)? -9 Let f = 4 + -10. Let d(b) = 7*b**3 - 11*b**2 - 9*b + 7. Let q(x) = 8*x**3 - 12*x**2 - 10*x + 8. Let l(o) = f*q(o) + 7*d(o). What is l(5)? -14 Let g(a) = a + 2. Let f = 1 + 2. Let r be ((-30)/(-9))/((-2)/f). Calculate g(r). -3 Let g(z) = z**3 + 2*z**2 - 2*z + 4. Let y be g(-3). Let s(j) = j**3. Let c(v) = -11*v**3 + 2*v**2 - 2*v + 1. Let i(h) = y*c(h) + 3*s(h). What is i(1)? -7 Let x(w) = -w**3 + 2*w**2 - 3*w. Let l be 35/28 - (-3)/4. Determine x(l). -6 Let b(h) = 4*h**2 + 3*h. Let f(t) = t**2 + t + 1. Let m(j) = b(j) - 2*f(j). Give m(-2). 4 Let y(v) = 3 - 6*v**2 + 4*v + v**3 + v - 2. Let l = -18 + 22. Suppose o = 3*g - 17, l*o = -o - 10. Give y(g). 1 Suppose 10*t - 17*t + 35 = 0. Let r(p) = p**2 - 5*p - 2. Calculate r(t). -2 Let t = 8 - 13. Let p(j) = -j**2 - 5*j + 6. Calculate p(t). 6 Let a(d) = -d**2 - 10*d - 6. Let f(p) = 2*p**2 + 19*p + 12. Let o(m) = -5*a(m) - 3*f(m). Determine o(-5). 4 Suppose 14 = 3*t - 22. Suppose -n + 3*n = t. Let k be (-4)/(-6) - (-2)/n. Let d(x) = 8*x - 1. What is d(k)? 7 Suppose -5*c + 0*k - 4*k - 42 = 0, 0 = -c + 4*k + 6. Let a(q) = -1456*q**2 + q + 1457*q**2 + 7*q + 6. Calculate a(c). -6 Let k(d) = -d + 8. Suppose -23 = -3*z + 5*u + 5, 2*z - u - 14 = 0. What is k(z)? 2 Let v(y) = 1543*y - 8*y**2 + 0*y**3 + y**3 - 1538*y. Calculate v(7). -14 Let t(s) be the second derivative of -s**4/6 - s**3 + 7*s**2/2 - s. Give t(-5). -13 Let u(j) = j**2 - j**2 + j + j**2 + 0*j**2 - 4. Suppose 0 = 4*q - 9*q - 20. What is u(q)? 8 Let z(x) = x**2 - 4. Let s(k) = -k**3 - 5*k**2 - 3*k. Let l be s(-4). Calculate z(l). 12 Let n(k) be the third derivative of k**4/24 - 2*k**3/3 - 19*k**2. Determine n(0). -4 Let n(s) be the second derivative of -2*s**3/3 + 7*s - 11. Let b = 1 - 2. Let i = 0 + b. Determine n(i). 4 Let c(d) = d**2 + 7*d + 6. Let y(b) = -b**2 - b + 5. Let w be y(-4). What is c(w)? 6 Let i(j) = -j**3 + j**2. Let w(x) = -x**3 + x**2 + 5*x - 5. Let g be w(2). Determine i(g). 0 Let f(u) = u**3 - 6*u**2 + 3*u + 4. Let q be (-4)/(24/18 - 2). Calculate f(q). 22 Let o(b) = b + 2. Suppose 0 = 4*u - 16, 2*y + 14 = 5*u - 0*u. Suppose -m = 1, 0 = -3*c - 0*c + y*m - 12. Give o(c). -3 Let k(q) = 8*q - 1. Let t(x) be the second derivative of 1/6*x**4 + 1/20*x**5 - 2*x + 0 + 0*x**3 + 0*x**2. Let p be t(-1). Give k(p). 7 Let k(b) = b - 2*b**2 + b**3 - 733 + 0*b**3 + 735. Let r(a) = a**3 - 2*a**2 + 2*a - 2. Let s be r(2). Give k(s). 4 Let q be 602/(-77) + 4/(-22). Let y = 14 + q. Let z(l) = 2*l - l + 4 - 6. Calculate z(y). 4 Let y(q) be the second derivative of -q**3/3 + 3*q**2 - 7*q. Calculate y(5). -4 Let j = -10 - -10. Suppose c - 7 = -j*c. Let v(x) = -3*x + 7. Let p(b) = -5*b + 14. Let h(q) = c*v(q) - 4*p(q). Calculate h(0). -7 Let o = 7 + -5. Let q(t) = t**3 - 1. What is q(o)? 7 Let a(d) = 1 - 2*d + 4*d**3 + d**3 + 0*d**3. Let b be 0 + 2/3 + (-2)/(-6). Calculate a(b). 4 Let g(b) = b + 3. Let y be 1 + 12/((-4)/(-1)). What is g(y)? 7 Let s be 2 + (-2 - 1) + 3. Let a = s - 0. Let p(t) = -1 - 3*t**a + 4*t + t + 4*t**2. Determine p(-5). -1 Let u(c) = 2*c**2 + c - 2. Let p = -1 + 3. Give u(p). 8 Let j(t) = 3*t**2 + 2*t + 2*t**3 + t**3 - 9*t - 5 - 2*t**3. What is j(-4)? 7 Let i(x) = -x + 0*x - 345 + 351. Let c(h) = -2*h + 13. Suppose -5*t + 10 = 2*s, -3*s + 2*s - 2*t = -3. Let d(g) = s*i(g) + 2*c(g). Calculate d(4). 0 Let g(i) = -i**3 + 9*i**2 - 8*i + 5. Let h be g(8). Let u be ((-1)/2)/((-5)/20). Let v(b) = -3*b**2 - b - 2 - 2*b + 2*b**u + 2*b**2. Determine v(h). 8 Let j(m) = m**3 + 4*m**2 - 4. Let t(b) = b - 13. Let r be t(10). Determine j(r). 5 Suppose 4*n = 5 + 11. Suppose d - 3*d = 4*f - n, -2*f - 6 = 3*d. Let w(r) = -r**2 - 3*r - 2. Calculate w(d). -6 Let k(g) = g**2 - 2*g + 2. Let m be 64*(1 + 2/(-4)). Suppose 4*i = -m + 8. Let q(b) = -b. Let y(a) = i*q(a) + k(a). What is y(-4)? 2 Let a(u) = -u**2 + 4*u + 4. Let f(j) be the third derivative of -j**4/12 - j**3/3 - 4*j**2. Let k be f(-4). What is a(k)? -8 Let c(s) = -s**2 + 7*s - 4. Suppose 2*w + 28 = -0*w. Let g = -9 - w. Determine c(g). 6 Let c(t) be the third derivative of -t**5/60 + t**4/8 - 5*t**3/6 - 2*t**2. Let s be (24/(-15))/((-4)/10). Suppose s*y - 3 = -15, q = y + 7. Determine c(q). -9 Let a(t) = -2*t**3 + 18 - t + 3*t**3 + 0*t - 2*t**3. Calculate a(0). 18 Let i(u) = 3*u**2 - 5*u + 5. Let d(k) = k**2 - k + 1. Let v(j) = 6*d(j) - i(j). Give v(2). 11 Let i(u) = 5 + 1 + u + u**3 - 4. Suppose 0*w - 5*w - 100 = 0. Let g = w - -20. Give i(g). 2 Let d(x) = x**3 + 7*x**2 + 7*x + 6. Let c be d(-6). Suppose 5*a + 5*i = c, 4*i - 14 = 2*a + a. Let t(b) = -4*b - 3. Determine t(a). 5 Suppose 5*i - 2*y + 10 = 32, -9 = -2*i + y. Let j(g) = -2*g**2 + 2*g**2 - g**2 + i*g + 4. Let d = 4 - -1. Determine j(d). -1 Let k(j) = j + 2. Let v be k(-7). Let a(c) = -c**3 - 4*c**2 + 3*c - 4. Let r be a(v). Suppose 5 = -r*l + l. Let o(x) = -5*x**3 + 1. Calculate o(l). 6 Let w(i) = -2 + i + 5*i - 5*i. Determine w(-4). -6 Let m = -2 - -16. Suppose -5*v - 34 = -m. Let c(l) = -l. Let x(w) = -4*w + 2. Let z(a) = 3*c(a) - x(a). What is z(v)? -6 Suppose 3*n + 2*n = 0. Suppose n = -3*v - 15, -4*u - 2*v - 24 = -2. Let d(o) = o**2 + 3*o + 4. Calculate d(u). 4 Let v(o) = -3*o - 9. Let g be v(-7). Suppose -2*z = 2*y, 4*z - g = 2*y - 0*y. Let h(f) = -f**2 - f. Give h(y). -2 Suppose -45 = a - 6*a. Let p = a - 13. Let s(z) = z. Determine s(p). -4 Suppose 7 = 3*a - 2. Let p(s) = -s + s**2 + 4*s + s - 1 - a*s. Calculate p(1). 1 Let z(r) = r**3 + 5*r**2 + 6*r + 5. Let o be z(-4). Let j(y) = -y**2 - 4*y - 2. Determine j(o). 1 Let z(p) = 9 + 4*p - 8 - 2*p + 4*p**2. Let c(v) = v**2 + 13*v + 15. Let m be c(-12). Let f = m + -4. Give z(f). 3 Let u(p) = p**3 - p**2 + p - 2. Suppose 2*y - 2 = 16. Let g = y - 6. Suppose -g*v - 2*t + 4 = 0, 4*v - 2*v - 2*t = 6. Calculate u(v). 4 Let h(q) = 2*q**2 - 8*q - 9. Let m(
{ "pile_set_name": "DM Mathematics" }
- 2 + 2) + (-3 - 3 + 4)*(-4*m + m + 2*m) to u*m + j and give u. 718 Express -3*w + 3*w - 2*w + (3 + 4 - 6)*(-3 + 3 - 2*w) + 176*w + 652*w + 331*w in the form a*w + c and give a. 1155 Rearrange 1 - 1 - 15*d**4 + (-667*d + 667*d + 31*d**2)*(-4 + 4 + 2*d**2) to the form g*d**4 + k*d**3 + b*d**2 + x + q*d and give g. 47 Express 2*k**3 - 14*k + 5*k + 0*k**3 + 6*k**3 as z*k**3 + i + d*k**2 + b*k and give z. 8 Express 35*q**2 + 2814*q - 2812*q + 11*q**2 in the form m*q + r*q**2 + h and give m. 2 Rearrange 10820 - 2*r + 3*r + 4*r**3 - 4*r**2 - 10819 to the form x*r**3 + z*r + h*r**2 + l and give x. 4 Rearrange (-1 + 9*n - 3*n - 3)*(4*n**2 - n**2 - 10*n**2 + (2*n + 0*n - 4*n)*(0 + 0 - 2*n)) to u + y*n**3 + t*n**2 + m*n and give y. -18 Rearrange -8*n**3 + 2*n**3 - 15683 + 15681 - 9*n to k*n + s + l*n**2 + v*n**3 and give v. -6 Rearrange -4*g**3 + 2*g**4 + 4*g**3 + (-9*g + 2*g - 10*g)*(-1 + 1 - 2)*(14 - 5 - 6)*(0*g - g**3 + 0*g) to s*g + l*g**4 + h*g**2 + w*g**3 + f and give l. -100 Rearrange (953*p**3 - 775*p**3 - 467*p**3)*(0 + 3 - 5)*(-2*p + 4*p + 0*p) to k*p**2 + z*p + g*p**3 + q + f*p**4 and give f. 1156 Express 37*h**3 + 261*h - 86*h + 4 + 67*h**3 - 91*h - 2*h**2 - 86*h as j + c*h**2 + o*h + t*h**3 and give o. -2 Express y**3 + 497 - 172*y**3 + 167*y**3 as c + z*y**2 + s*y**3 + j*y and give j. 0 Rearrange 2 - 3*m**2 + 11*m - 5*m**2 - 9*m - 6*m to c*m**2 + t + v*m and give t. 2 Rearrange 101 - 583*i - 59 - 41 to u*i + b and give b. 1 Rearrange -535*d**2 - 16459 + 16459 to the form w*d + b*d**2 + k and give b. -535 Rearrange (127 + 72 + 162 - 75)*(13*r**2 - 3*r - 5*r**2 + 0*r) to d + f*r**2 + c*r and give f. 2288 Express -c - c + 31*c**2 - 6*c - 10*c**3 - 29*c**2 as j*c + a*c**3 + d*c**2 + q and give j. -8 Rearrange 3*l + 59*l**2 - 7133*l**3 - 2 + 14263*l**3 - 7131*l**3 + l**4 to the form c*l**2 + p*l + t*l**3 + x + b*l**4 and give b. 1 Rearrange 96*y**4 + 6 + 100*y**4 - 8*y + 0*y**3 - y**3 - 194*y**4 to u + d*y + h*y**2 + p*y**4 + k*y**3 and give k. -1 Rearrange 491 - 489 - z**3 - z**2 + 2*z - 22*z**4 - 3*z**3 to p*z**3 + q*z**2 + y*z**4 + v*z + c and give y. -22 Rearrange (m**2 + 7*m**2 - 7*m**2)*(2 - 5*m + 5*m - m) to u*m**3 + v*m**2 + g + p*m and give v. 2 Express -1 - 810*v + 1604*v - 1 + 7*v**3 - 801*v in the form k*v**3 + h*v**2 + i + u*v and give k. 7 Express 2124*q**3 - 2124*q**3 - q**4 - 2 + 8*q + 1 in the form b*q**3 + z*q**4 + y + c*q**2 + w*q and give z. -1 Rearrange -233 + b**3 + 50 + 2*b + 2*b - 2*b + 0*b to the form p + h*b**3 + s*b**2 + w*b and give w. 2 Express 32 + 2 + 41 + 19 + 2*m**2 - m**2 as g*m**2 + s + f*m and give f. 0 Rearrange (-119 + 56 + 62)*(-s + 2 - 2) to w + y*s and give y. 1 Rearrange (-p**2 - 2*p**2 + 4*p**2)*(2 + 0*p - 3*p + 5*p)*(-7 + 12 + 18) to o*p**2 + h*p**3 + l + r*p and give o. 46 Rearrange 89*j + 628*j + 166*j to k + m*j and give m. 883 Rearrange 2 - 4*c**3 + 0*c**2 - 3*c**4 + 8*c**3 + 5*c**4 + 2*c - 3*c**2 - 10*c**3 to y + v*c**2 + w*c**3 + z*c**4 + d*c and give v. -3 Rearrange (138*y - 131*y + 149*y)*(-5*y + 0*y - y) to the form c*y + l + p*y**2 and give p. -936 Rearrange 5*f + 14*f**2 - 5 + 4*f**3 - 13*f**2 - f - 2*f**3 to the form p*f**2 + a*f**3 + l*f + t and give l. 4 Rearrange (2*z + 2 - 2)*(-14*z - 2 - 204*z**2 - 4*z + 206*z**2) to the form y*z**3 + g + l*z**2 + c*z and give g. 0 Rearrange -3 - 928*p + 4 + 280*p + 2 - 1 to j*p + h and give h. 2 Rearrange (-3*b - 2*b - 4*b)*(23*b**3 - 30*b**3 + 57*b**3) + 2 + 2*b**4 - 2 to l*b**3 + k + g*b**2 + q*b + j*b**4 and give j. -448 Express (-15*v**2 - 10 + 10)*(-111*v**2 + 64*v**2 - 150*v**2) in the form c*v + m*v**3 + f*v**2 + q*v**4 + l and give q. 2955 Express 4*f**4 - f**4 - f**4 + (3*f**3 - 4*f**3 + 3*f**3)*(-3 - 12 - 2)*(f - 1 + 1)*(2 + 3 - 7) in the form p*f**4 + k*f**3 + r + b*f**2 + l*f and give p. 70 Rearrange -58969 + 58969 + 5*d - 1 - d + 1 + (-3 + 3 + 2)*(-3*d + 5*d - 3*d) to the form u + n*d and give n. 2 Rearrange (-3*v - v + 3*v)*(2*v + 4*v - 2*v)*(-2*v + 1717 - 1717 + 5*v**2) to h + i*v + f*v**3 + d*v**4 + s*v**2 and give f. 8 Rearrange (-7*o**2 + 3*o**2 + o**2)*(-2 - 1 - 5) + o**2 + 0*o + 0*o to l*o**2 + m*o + r and give l. 25 Express -16*s + 3 + 28*s - 15*s in the form r*s + f and give f. 3 Rearrange -138*j - 138*j - 30*j - 3*j to x + o*j and give o. -309 Rearrange 2*h**2 + 245*h**3 + 237*h**3 + 2*h - 483*h**3 - 16 to the form y*h**3 + u + n*h + s*h**2 and give n. 2 Express (-157*k + 295*k - 161*k)*(-5 + 3 + 5)*(-3*k + 3*k - k**2) in the form l*k + v + s*k**2 + q*k**3 and give q. 69 Rearrange 7*t + 5368*t**2 - 5368*t**2 + 19*t - 11*t**3 to the form c*t**3 + z + q*t**2 + i*t and give c. -11 Rearrange 3 + 8 + 3 - 14 - 2*m - 3*m**4 + 4*m**2 to t*m**3 + j*m**4 + q*m**2 + h*m + g and give j. -3 Express z**4 + 67*z**3 + z - 86*z**3 + 0*z + 1 + 19*z**3 as a + d*z**3 + h*z**4 + y*z**2 + o*z and give o. 1 Express (-27 - 36 + 8)*(6*d**3 + 0*d**3 + 6*d**3)*(3*d - 2*d - 2*d + (-3 + 3 + 1)*(-2*d + 4*d + 0*d)) as n*d**2 + s*d + q*d**3 + z*d**4 + j and give z. -660 Express -p**2 - 153*p + 83*p + 76*p as s*p + o*p**2 + l and give o. -1 Rearrange (812*p**3 + 3200*p**2 - 3200*p**2)*(3*p - 2*p - 2*p) to the form r + z*p**3 + m*p**4 + d*p + x*p**2 and give m. -812 Express -82987 + 82987 + 543*v as z + j*v and give j. 543 Rearrange b - 5638 + 5638 - 2*b**3 + 168*b**2 + 2 + b**3 - 2 + (0*b - b - b)*(b**2 + 1 - 1) to n*b + s*b**3 + q + c*b**2 and give c. 168 Rearrange (-14*d**4 + 11*d**4 + 511*d**3 - 612*d**3)*(7 - 3 - 2) + 5*d**4 - 3*d**4 - 5*d**4 to the form q + m*d**3 + n*d + z*d**2 + x*d**4 and give m. -202 Rearrange -1113*x**4 + 3*x - 7*x - 2 + 1117*x**4 + 3*x**3 to the form w*x + q + v*x**3 + n*x**4 + p*x**2 and give w. -4 Express (-5*r**2 + 4*r**2 + 0*r**2)*(24*r + 14*r - 15*r) - 2*r**3 + 6*r**3 + r**3 - 6*r**3 + 0*r**3 + 3*r**3 as t + u*r**3 + v*r + o*r**2 and give u. -21 Rearrange -44 + 0*f - 2*f**3 - f + 42 + f**3 + 2*f**3 - 4*f**4 to the form m*f**4 + p*f**2 + g*f**3 + a + o*f and give g. 1 Rearrange -2*c**3 + 23 - 10 + 652*c**2 - 654*c**2 to j*c**3 + h + s*c**2 + w*c and give h. 13 Rearrange -15*f**2 + 5*f + 4*f + 0*f - 11*f - 1 to a + y*f + m*f**2 and give a. -1 Rearrange 737 + 5*t - 4*t - 19*t**4 - 734 to a + q*t**2 + n*t**4 + r*t**3 + g*t and give g. 1 Rearrange (7 - 7*h**3 - 7)*((2 - 6 + 3)*(11 - 23 + 4) + 5 - 4 + 1) to d*h + m*h**3 + y + b*h**2 and give m. -70 Express -2 + 0*x + 4*x + 10*x + 4*x - 22*x in the form c + i*x and give c. -2 Express -24620 + 24620 - 2*d**3 + 57*d as g + o*d**2 + y*d**3 + v*d and give y. -2 Express 3*n - 3*n - 5780 + 5780 - 1075*n**2 as c + i*n + p*n**2 and give i. 0 Express -2*a**2 - a**2 + 2*a**2 + 17*a**3 + 0*a**3 as v*a**3 + i + u*a + h*a**2 and give h. -1 Express -11095 + 11095 - 4*u + 4*u + 1239*u**2 in the form j*u**2 + i*u + t and give j. 1239 Rearrange -2*n**4 + 9*n**3 + 228*n**2 - 228*n**2 + (-137*n + 187*n - 105*n)*(-2*n**3 - 2*n**3 + 6*n**3) to k*n + j*n**4 + w*n**3 + l + g*n**2 and give w. 9 Express -27*f + 3*f**2 - 10*f**2 + 58*f - 29*f as h + m*f**2 + y*f and give y. 2 Rearrange (3 - 3 - 1 + (-19 - 1 - 9)*(-6 + 2 + 2))*(-6*x + 5*x + 14*x) to the form s + f*x and give f. 741 Express (-v**2 - 9*v**2 - 3*v**2)*(-2*v + 3*v - 3*v) - 4*v**3 - 33 + 33 in the form k*v**2 + f*v + m*v**3 + g and give m. 22 Express -53*k + 102*k - 35*k + 3 in the form p*k + n and give p. 14 Rearrange 1631*b**2 - 3268*b**2 + 1634*b**2 + 3*b**3 - 2 to the form l*b**3 + p*b + z + a*b**2 and give p. 0 Rearrange -r - 83*r**4 - 5 + 6 + 14*r**2 - r**4 - 13*r**2 to f + y*r**4 + g*r**2 + k*r + j*r**3 and give g. 1 Express ((-651 + 651 + 31*m)*(-1 + 2 + 0) + 2 + m - 2 + (0*m - 3*m + 4*m)*(-5 - 1 + 5) - 2*m + 0 + 0 + 4 - 5*m - 4)*(4 - 2 - 1) as h*m + b and give h. 24 Rearrange -u - 5845 - 5637 + 11127 to the form w + i*u and give w. -355 Express (15 + 8 + 6)*(-15 - 13*u + 15) + 0*u + 0*u - 2*u + 2*u - 5*u + u as z + i*u and give i. -381 Express 16*s**2 - 18*s**2 + 126*s + 102*s in the form r + f*s + l*s**2 and give l. -2 Rearrange 2*t - 2 - 3*t**2 + 4 - 4 + 20*t**3 - 22*t**3 to the form o*t**3 + m + n*t + r*t**2 and give o. -2 Rearrange -4*g**2 + 2*g**3 - 17*g**4 - 8*g + 10*g + 6*g**2 + 20*g**4 + 1 to a*g**2 + f*g**4 + u*g**3 + w*g + j and give u. 2 Express (-1 + 1 - f**2)*(319 + 318 - 556) as w*f + v*f**2 + n and give v. -81 Rearrange
{ "pile_set_name": "DM Mathematics" }
+ -56. Factor y*i**5 - 203*i**3 + i + 2*i - 12*i**4 + 221*i**3 - 12*i**2. 3*i*(i - 1)**4 Let r(k) be the second derivative of -19*k + 1/63*k**7 + 1/10*k**5 + 1/15*k**6 + 0*k**3 + 1/18*k**4 + 0*k**2 + 0. Factor r(n). 2*n**2*(n + 1)**3/3 Let d = 12908 - 12906. Factor 0 + 3*p**d - 6/7*p - 15/7*p**3. -3*p*(p - 1)*(5*p - 2)/7 Let w(f) be the third derivative of -f**5/60 - 41*f**4/24 - 3*f**2 + 61. Find c, given that w(c) = 0. -41, 0 Suppose -7 = -2*a - r, 0*r + r = 4*a - 17. Factor 32*o**2 + o**4 + 3*o**4 - 6 + 20*o**3 + 28*o + 14 + a*o**2. 4*(o + 1)**3*(o + 2) Let c be -1*2*45/(-30). Factor 4 + z + 7*z**c - 9*z**3 + 5*z. -2*(z - 2)*(z + 1)**2 Factor -23*z - 13*z + 7*z**2 + 12*z**2 - 22*z**2 + 7*z**2. 4*z*(z - 9) Suppose 0 = -4*m + 11 - 3. Let v = 29/102 - 2/17. Let 1/6*q**m - v*q**3 + 0 + 0*q = 0. Calculate q. 0, 1 Let h(t) be the first derivative of -1/15*t**2 + 19 - 1/45*t**6 + 2/75*t**5 - 4/45*t**3 + 1/15*t**4 + 2/15*t. Factor h(x). -2*(x - 1)**3*(x + 1)**2/15 Let o(i) = i**4 + i**3 + i**2 + 2*i - 1. Let h(n) = -9*n**4 - 6*n**3 - 9*n**2 - 22*n + 11. Let j(b) = 4*h(b) + 44*o(b). Factor j(m). 4*m**2*(m + 2)*(2*m + 1) Let r(x) be the third derivative of -605*x**8/336 - 143*x**7/21 - 23*x**6/6 - 2*x**5/3 + 190*x**2. Suppose r(n) = 0. Calculate n. -2, -2/11, 0 Let l = 8141 - 8138. Factor 2*u**2 - 1/2*u**4 + 0 + u**l - 1/4*u**5 + 0*u. -u**2*(u - 2)*(u + 2)**2/4 Let i(d) be the second derivative of d**5/130 - 7*d**4/39 + 25*d**3/39 - 12*d**2/13 + 441*d. Factor i(f). 2*(f - 12)*(f - 1)**2/13 Suppose -6*d + 36 - 159/4*d**2 + 27/4*d**3 + 15/4*d**4 - 3/4*d**5 = 0. Calculate d. -3, -1, 1, 4 Let k(g) = 3*g - 12. Let a be k(5). Let b(x) = 2*x**2 - 2*x + 2. Let p be b(1). Factor a - 15 - p*v + 2*v + 3*v**2. 3*(v - 2)*(v + 2) Let w(d) be the second derivative of d**6/75 - d**4/30 + d - 27. Factor w(p). 2*p**2*(p - 1)*(p + 1)/5 Let o(j) be the third derivative of 1/18*j**3 + 0 + 1/180*j**5 - 20*j**2 + 0*j - 1/36*j**4. Factor o(z). (z - 1)**2/3 Let h(k) be the second derivative of -k**4/3 + 4*k**3/3 + 48*k**2 - 110*k. Determine t so that h(t) = 0. -4, 6 Let l(b) = -6*b**3 + 8*b**2 - 3*b - 4. Suppose t - 6 + 2 = 0. Let s = -3 - 2. Let c(j) = -5*j**3 + 7*j**2 - 3*j - 3. Let q(h) = s*c(h) + t*l(h). Factor q(r). (r - 1)**3 Find g such that -13/5*g**4 - 68/5*g**3 + 12/5*g**5 + 16/5 + 16*g + 48/5*g**2 = 0. -2, -2/3, -1/4, 2 Suppose -28 = -3*c - c - 4*l, -4*l = 5*c - 40. Factor -h**4 + c*h**3 - 27*h**3 + h**2 + h + 14*h**3. -h*(h - 1)*(h + 1)**2 Let c(v) be the first derivative of 0*v**4 + 1/2*v**2 + 6 - 1/6*v**6 + 2/5*v**5 - 2/3*v**3 + 0*v. Factor c(r). -r*(r - 1)**3*(r + 1) Let f(k) be the second derivative of -k**6/10 + 3*k**5/5 - 8*k**3 + 24*k**2 + 174*k. Find z, given that f(z) = 0. -2, 2 Let k(w) be the third derivative of w**5/210 - 2*w**4/7 + 48*w**3/7 - 2*w**2 - 14. Determine q so that k(q) = 0. 12 Let p(z) = z**3 - 2*z**2 - 6*z - 13. Let k(f) = f**3 - 3*f**2 - 7*f - 15. Let c(b) = -5*k(b) + 6*p(b). Find i, given that c(i) = 0. -3, -1, 1 Let o(w) be the first derivative of -3*w**4/4 - 5*w**3 + 33*w**2 - 48*w + 208. Determine j, given that o(j) = 0. -8, 1, 2 Suppose -a = -5*k - 42, 5*a + 0*k = 3*k + 144. Let x(u) be the first derivative of -2*u**3 + 6*u**2 - 1 + u - 21*u**2 + a*u**3 + 2*u. Factor x(l). 3*(5*l - 1)**2 Let j(t) = -30*t**2 - 45*t - 245. Let p(s) = -s**2 + s. Let z(a) = j(a) - 25*p(a). Factor z(m). -5*(m + 7)**2 Let i(q) be the first derivative of 4*q**6/45 + 22*q**5/75 + q**4/30 - 26*q**3/45 - q**2/3 + 4*q/15 - 92. Solve i(g) = 0. -2, -1, 1/4, 1 Let a(h) be the second derivative of -h**6/45 - 2*h**5/15 + h**4/18 + 4*h**3/9 + 24*h + 1. Solve a(w) = 0 for w. -4, -1, 0, 1 Let d(i) be the second derivative of i**9/3024 + i**8/560 + i**7/420 - 3*i**3/2 - 30*i. Let q(z) be the second derivative of d(z). Solve q(w) = 0. -2, -1, 0 Let r = -222 + 228. Let d(q) be the third derivative of 0*q - 1/20*q**5 - r*q**2 + 0 - 2*q**3 - 1/2*q**4. Factor d(n). -3*(n + 2)**2 Suppose r + 2 = -2. Let l be (3 + r/16)*4. Factor -9*v**3 - l*v**2 + 0*v - 6*v + v**2 - 5*v**2. -3*v*(v + 1)*(3*v + 2) Find x such that -3/2*x**2 + 33*x - 144 = 0. 6, 16 Let g(q) be the first derivative of -3*q**6/2 + 147*q**5/5 - 156*q**4 + 64*q**3 - 127. Factor g(n). -3*n**2*(n - 8)**2*(3*n - 1) Let m(a) be the first derivative of -a**4/16 - a**3/4 - 22. Factor m(x). -x**2*(x + 3)/4 Let i(m) = m**3 - 92*m**2 - 179*m - 86. Let j(f) = 3*f**3 - 185*f**2 - 359*f - 171. Let t(z) = 5*i(z) - 2*j(z). Determine r, given that t(r) = 0. -88, -1 Suppose -3*o - 2*o = 5. Let y be (o - 3)/(4 - 5). Find i such that -5*i + 10*i**2 + 4*i**3 + y*i - 3*i - 4*i**2 = 0. -2, 0, 1/2 Let h(c) be the third derivative of 1/105*c**5 + 1/84*c**4 - 1/420*c**6 - 2/21*c**3 - 34*c**2 + 0 + 0*c. Determine f so that h(f) = 0. -1, 1, 2 Let i = -233 + 233. Let b(f) be the third derivative of -5*f**2 + 0*f + 1/1050*f**7 + i + 1/75*f**5 + 0*f**4 + 1/150*f**6 + 0*f**3. Factor b(v). v**2*(v + 2)**2/5 Let v(x) be the third derivative of x**8/312 + x**7/21 + 37*x**6/390 + 8*x**5/195 - 127*x**2. Let v(q) = 0. Calculate q. -8, -1, -2/7, 0 Suppose 88390 - 1620*f + 59678 - 16848 + 5*f**2 = 0. Calculate f. 162 Let k be ((-10)/4)/(5/8*-2). Let b be ((-8)/(-10))/(1/40). Find x such that 24*x**k + 11*x + 37*x + 6*x**3 + b - 2*x**3 = 0. -2 Let m(b) be the third derivative of 3*b**5/50 + 2*b**4/5 + 4*b**3/5 + 255*b**2. Factor m(f). 6*(f + 2)*(3*f + 2)/5 Find k such that -32/5 + 1/5*k**4 - 12*k - 3/5*k**3 - 32/5*k**2 = 0. -2, -1, 8 Suppose 0 = -16*i - 5378 + 706. Let n = 3798/13 + i. Let 2/13*l**4 + n*l**3 + 0*l**2 + 0 + 0*l = 0. What is l? -1, 0 Let -4/15 - 8/15*u**3 + 2/3*u**5 - 16/15*u**4 - 2/15*u + 4/3*u**2 = 0. Calculate u. -1, -2/5, 1 Let z(s) = 2*s + 21. Let t be z(7). Let w be (2/45)/(7/t). What is v in -8/9*v + w*v**2 + 8/9 = 0? 2 Let 29/7*o - 99/7*o**2 - 2/7 = 0. What is o? 1/9, 2/11 Let l(r) be the second derivative of 0 + 5/12*r**4 + 5/2*r**3 + 13*r + 5*r**2. What is u in l(u) = 0? -2, -1 Let n(w) be the third derivative of -w**7/70 + 3*w**6/20 + w**5 - 3*w**4 - 32*w**3 + 987*w**2. Determine g, given that n(g) = 0. -2, 2, 8 Find i, given that -512/11 - 25/11*i**3 - 64*i - 216/11*i**2 - 1/11*i**4 = 0. -8, -1 Let q(m) be the third derivative of 10*m**2 - 1/168*m**8 + 0*m**3 - 1/10*m**5 - 7/60*m**6 - 1/21*m**7 + 0*m**4 + 0*m + 0. Factor q(r). -2*r**2*(r + 1)**2*(r + 3) Factor -96/11 + 98/11*m - 2/11*m**2. -2*(m - 48)*(m - 1)/11 Let m be (-8)/(-28) + 6/(-21). Suppose 1 = 3*q - 5, 5*v + 5*q - 30 = m. Determine j, given that -v*j**5 + j**4 - 3*j**4 + 0*j**4 = 0. -1/2, 0 Determine s, given that 2/3*s**4 + 2/3*s**2 - 4/3 - 2*s**3 + 2*s = 0. -1, 1, 2 Let x(g) = 3*g**2. Let m be x(1). Suppose 2*y - 4*y - m*o + 18 = 0, 0 = -3*y + 4*o + 27. Factor 15*l**2 - 4*l**3 - 4*l - 6*l**2 + y*l + 1 - 11*l. -(l - 1)**2*(4*l - 1) Let p(o) be the second derivative of o**4/4 - 3*o**3 + 27*o**2/2 + 45*o. Let p(z) = 0. What is z? 3 Let s(v) be the second derivative of 0*v**2 + v - 1/285*v**6 - 2/57*v**4 - 11 + 0*v**3 - 1/38*v**5. Determine t so that s(t) = 0. -4, -1, 0 Determine n so that -64/3*n + 2*n**3 - 8 + 26/3*n**2 = 0. -6, -1/3, 2 Let c(k) be the third derivative of k**6/20 + 32*k**5/15 + 319*k**4/12 - 242*k**3/3 - 80*k**2. Factor c(d). 2*(d + 11)**2*(3*d - 2) Let b(t) = 4*t**3 + 0*t**3 - 9 - 3*t**3 + 8. Let v(u) = u**4 - 2*u**3 - u**2 - 3*u + 5. Let s(f) = -15*b(f) - 3*v(f). Factor s(o). -3*o*(o - 1)*(o + 1)*(o + 3) Let b(x) = -5*x**5 + 200*x**4 - 479*x**3 + x**2 + 451*x - 256. Let m(v) = -3*v**5 + 99*v**4 - 240*v**3 + 225*v - 129. Let p(u) = -6*b(u) + 11*m(u). Factor p(a). -3*(a - 1)**3*(a + 1)*(a + 39) Suppose -16*y + 7*y = 8*y. Factor 9/4*t**5 + y - 3/4*t**3 + 0*t - 3*t**4 + 3/2*t**2. 3*t**2*(t - 1)**2*(3*t + 2)/4 Let q(x) be the second derivative of x**3/6 + 2*x**2 - 3*x. Let f be q(5). Factor f*n + 4*n**2 + 8*n - 5*n. 4*n*(n + 3) Suppose -13*p - 67 + 158 = 0. Let f(i) be the second derivative of 1/18*i**5 + 0 - 1/6*i**4 - p*i - 1/135*i**6 - 2/9*i**2 + 7/27*i**3. Factor f(y). -2*(y - 2)*(y - 1)**3/9 Let r = 24 + -20. Factor -32*z + r*z**2 + 17 + 3*z**2 - 1 + 5*z**2. 4*(z - 2)*(3*z - 2) Let v(w) be the third derivative of -w**8/112 + 2*w**7/35 - 3*w**6/20 + w**5/5 - w**4/8 + w**2 - 34. Let v(p) = 0. What is p? 0, 1 Let z(p) be the first derivative
{ "pile_set_name": "DM Mathematics" }
- sqrt(19)). -sqrt(19) + 16 Simplify (sqrt(228) - sqrt(228)*3*-2)/sqrt(12). 7*sqrt(19) Simplify 2*(-2 + (sqrt(19) + -1)*1)**2. -12*sqrt(19) + 56 Simplify ((sqrt(153)*-3 - sqrt(153))*-5)/sqrt(9). 20*sqrt(17) Simplify (sqrt(119)*-3)/sqrt(7) + (1 + sqrt(833))**2 + sqrt(17). 12*sqrt(17) + 834 Simplify 1*sqrt(19) + 5 - -4*(sqrt(76) - sqrt(19))**2. sqrt(19) + 81 Simplify -2*(((-4*sqrt(245) - sqrt(245)) + -1 - sqrt(245) - sqrt(245)) + sqrt(245))**2. -17642 - 168*sqrt(5) Simplify -2 + sqrt(15)/sqrt(3) - (-3*sqrt(405))**2. -3647 + sqrt(5) Simplify (sqrt(128)*2)**2 - sqrt(384)/sqrt(12). -4*sqrt(2) + 512 Simplify sqrt(156)/((-4*sqrt(48))/sqrt(4))*-2. sqrt(13)/2 Simplify (sqrt(320)/sqrt(5))/(sqrt(162) + 2*sqrt(162)). 4*sqrt(2)/27 Simplify -1 + -6*(sqrt(147) + 0). -42*sqrt(3) - 1 Simplify sqrt(1872) - (sqrt(1872)*-1 + -1) - ((sqrt(1872)*1)**2 + sqrt(1872))*-5. 84*sqrt(13) + 9361 Simplify sqrt(272)*2 + -1 + 3. 2 + 8*sqrt(17) Simplify 1*sqrt(2448) + sqrt(17) - 2*sqrt(68). 9*sqrt(17) Simplify (-1 + sqrt(2448) + sqrt(2448) + 1)**2*4. 39168 Simplify (sqrt(102) - 2*((sqrt(102) - -2*sqrt(102)) + sqrt(102)))/(-3*sqrt(6)*-1). -7*sqrt(17)/3 Simplify 1 + -4 + sqrt(325). -3 + 5*sqrt(13) Simplify -3*sqrt(10)/sqrt(2) - (-5 + sqrt(10)/sqrt(2) + sqrt(5)). -5*sqrt(5) + 5 Simplify 2 + (-1 + sqrt(2736))**2 + sqrt(2736) + -3. -12*sqrt(19) + 2736 Simplify 1 + sqrt(19) + 3 - sqrt(76)*-5. 4 + 11*sqrt(19) Simplify (sqrt(10)/(sqrt(2)*2) + sqrt(5) + (1 + sqrt(720) - sqrt(5)))**2. 25*sqrt(5) + 3129/4 Simplify 5 + -1*sqrt(171) + (-3 + 1*sqrt(171))**2. -21*sqrt(19) + 185 Simplify (sqrt(98) + 1*sqrt(98)*-6)**2. 2450 Simplify -3*-1*(-1 + sqrt(7)). -3 + 3*sqrt(7) Simplify 0 + 3 + sqrt(180). 3 + 6*sqrt(5) Simplify ((sqrt(72) - sqrt(72)*-2)/sqrt(6))/(sqrt(6)*-2*-3). sqrt(2)/2 Simplify (5 + -4*3*(sqrt(1700)*-2 + sqrt(1700)))**2. 1200*sqrt(17) + 244825 Simplify (sqrt(6336) + sqrt(6336) + sqrt(6336)*1)/((sqrt(28)*-2)/sqrt(7)). -18*sqrt(11) Simplify (sqrt(7) + sqrt(252) + -1 + sqrt(21)/sqrt(12))*-4. -30*sqrt(7) + 4 Simplify sqrt(12)/sqrt(54) + (1*sqrt(2)*1)**2. sqrt(2)/3 + 2 Simplify (sqrt(15)*1)/sqrt(3) - (sqrt(605) + 1). -10*sqrt(5) - 1 Simplify (0 + sqrt(425) - 4*sqrt(68)/sqrt(4))**2. 17 Simplify 2*(-2*sqrt(1539))**2*1*5. 61560 Simplify 4*(sqrt(240)/sqrt(10))/sqrt(12). 4*sqrt(2) Simplify -2*sqrt(55)/(sqrt(55)/sqrt(5) + sqrt(11)) + 1. -sqrt(5) + 1 Simplify (6*sqrt(4)/sqrt(2) + 2)**2 + 4. 24*sqrt(2) + 80 Simplify (sqrt(78)*1)/sqrt(6)*2. 2*sqrt(13) Simplify -4*sqrt(68)/sqrt(4) - (sqrt(612) + sqrt(612)*2). -22*sqrt(17) Simplify (sqrt(1764)*-4)/(sqrt(448)*-2 - sqrt(7)). 24*sqrt(7)/17 Simplify sqrt(2000)*2 + 0 + sqrt(20) + 2. 2 + 42*sqrt(5) Simplify 1*sqrt(242) + sqrt(242) + (sqrt(98) + sqrt(2))**2*-3. -384 + 22*sqrt(2) Simplify ((sqrt(190) - -2*(sqrt(190) + sqrt(190)*2))/sqrt(10))**2. 931 Simplify (1 + (sqrt(147) + 4 - sqrt(147)) + sqrt(147))**2. 70*sqrt(3) + 172 Simplify -2*sqrt(450)/(1*sqrt(10)). -6*sqrt(5) Simplify (sqrt(2100)*2 - sqrt(21))/(sqrt(18)/(sqrt(30)/sqrt(5))). 19*sqrt(7) Simplify (sqrt(1100) + 2*sqrt(1100) + -3)**2. -180*sqrt(11) + 9909 Simplify (6*2*sqrt(2448) + sqrt(2448) + -2 + sqrt(2448) + -1 + sqrt(2448))**2. -1080*sqrt(17) + 550809 Simplify (3*sqrt(187)*2)/((sqrt(66)/sqrt(3))/sqrt(2)). 6*sqrt(17) Simplify -6*(sqrt(20) - sqrt(5)) + 5*sqrt(5)*1. -sqrt(5) Simplify -4 + (0 + sqrt(605))**2. 601 Simplify -2*(-4 + (sqrt(2736) - (sqrt(2736) + sqrt(2736) + sqrt(2736) + sqrt(2736) + 0)) + sqrt(2736))**2. -21920 - 384*sqrt(19) Simplify (sqrt(5) - sqrt(60)/sqrt(300)) + sqrt(5) + -1 + sqrt(5) + 4. 3 + 14*sqrt(5)/5 Simplify ((5*(sqrt(264) - (sqrt(264) + sqrt(264) + -1*sqrt(264) - sqrt(264))))/(sqrt(24)/(sqrt(16)/sqrt(4))))**2. 1100 Simplify (2*sqrt(117))**2 + sqrt(13) - (sqrt(13) - 1*sqrt(832)). 8*sqrt(13) + 468 Simplify (sqrt(612) + 0 + sqrt(612) + sqrt(612) + 4 + sqrt(612))**2 - (2 + -1 + sqrt(612)). 186*sqrt(17) + 9807 Simplify -4*sqrt(21)/sqrt(63) + 2. -4*sqrt(3)/3 + 2 Simplify sqrt(44)/(sqrt(64)*5) + -1. -1 + sqrt(11)/20 Simplify (sqrt(95) - sqrt(95)*1*-1)/((sqrt(5) + sqrt(20))*2). sqrt(19)/3 Simplify (((sqrt(114) - 3*sqrt(114))*2)/(sqrt(18)/(sqrt(3)*2)))**2. 1216 Simplify ((sqrt(66) + (sqrt(66) + (sqrt(66)*2 - sqrt(66)))*-2)/(sqrt(384)/sqrt(4)))**2. 99/16 Simplify -1*((sqrt(432) + 0)**2 - (2*sqrt(3)*3 + sqrt(3))). -432 + 7*sqrt(3) Simplify ((-5 + sqrt(12)/sqrt(4))**2 - sqrt(3)) + ((sqrt(33)/(sqrt(11)*-1) + sqrt(3))**2 - sqrt(3)). -12*sqrt(3) + 28 Simplify ((-1*sqrt(210))/sqrt(7))/((sqrt(144)/sqrt(3) + sqrt(48))/sqrt(8)). -sqrt(5)/2 Simplify sqrt(171)*-6 + -3. -18*sqrt(19) - 3 Simplify (5*(sqrt(170)/sqrt(10) + -4))**2. -200*sqrt(17) + 825 Simplify ((5*-1*sqrt(77))/sqrt(11))**2. 175 Simplify 1*(-1 + sqrt(11) + -4 + (sqrt(44)/sqrt(4) - sqrt(11)) + 3). -2 + sqrt(11) Simplify (1 + sqrt(5) + sqrt(80))**2 - -3*sqrt(10)/sqrt(2). 13*sqrt(5) + 126 Simplify 4 + (sqrt(1088) + (1 + sqrt(1088))*6)*-6. -336*sqrt(17) - 32 Simplify 1 + ((-3*sqrt(35))/sqrt(7))**2. 46 Simplify ((sqrt(34) - (sqrt(4114) + -1*sqrt(4114) + sqrt(4114) - sqrt(4114)))/(-5*sqrt(8)))**2. 17/100 Simplify ((sqrt(275) + -3 + (sqrt(275) - -1*sqrt(275)))*5)**2. -2250*sqrt(11) + 62100 Simplify (5*2*(sqrt(363) + -5))**2. -11000*sqrt(3) + 38800 Simplify (sqrt(20)/sqrt(4) + 4 + -3)*6. 6 + 6*sqrt(5) Simplify sqrt(147)*2 - (sqrt(108) + 2). -2 + 8*sqrt(3) Simplify ((-2*sqrt(288) - sqrt(288)) + sqrt(288))/(sqrt(18)/(sqrt(6)/sqrt(2))). -8*sqrt(3) Simplify -2 + -4 + ((-1 + sqrt(153) - sqrt(17))*-2)**2. -16*sqrt(17) + 270 Simplify (sqrt(110)/(sqrt(11) + sqrt(11)*1 + sqrt(11)) + sqrt(10))/((sqrt(4)/sqrt(2) + sqrt(2))*5). 2*sqrt(5)/15 Simplify (-1 + sqrt(1377))**2 + -5 - ((sqrt(136) - sqrt(136)*2)*1)/sqrt(8). -17*sqrt(17) + 1373 Simplify (sqrt(30)/sqrt(6) + -5 + -5)**2. -20*sqrt(5) + 105 Simplify (-2*sqrt(11) + sqrt(11) + 0)**2 + -3. 8 Simplify (sqrt(3) - (sqrt(3) - sqrt(588)/sqrt(4))) + -6*2*sqrt(3). -5*sqrt(3) Simplify sqrt(17) + sqrt(187)/sqrt(44) - (sqrt(833) - (2 + sqrt(833)))**2. -4 + 3*sqrt(17)/2 Simplify (sqrt(800)/sqrt(4)*-4)**2. 3200 Simplify (-3 + sqrt(2057) + 2)**2. -22*sqrt(17) + 2058 Simplify (sqrt(170) + ((sqrt(170) - (sqrt(170) + -2*sqrt(170)))*-3 - sqrt(170)))/(sqrt(1000) - ((sqrt(1000) - 2*sqrt(1000) - sqrt(1000)) + sqrt(1000))). -3*sqrt(17)/10 Simplify (sqrt(85) + (((sqrt(85)*6 - sqrt(85)) + sqrt(85))*1 - sqrt(85)))/sqrt(5). 6*sqrt(17) Simplify (sqrt(180)/sqrt(48))/(sqrt(5) + ((sqrt(45) - (sqrt(180)/sqrt(4) - sqrt(45))) + sqrt(45) + sqrt(45))/sqrt(9)). sqrt(3)/8 Simplify ((sqrt(245) - (-5 + (-1*sqrt(245) - sqrt(245))))**2 + sqrt(245))*-4. -8920 - 868*sqrt(5) Simplify (sqrt(19) - sqrt(1216)*1) + ((sqrt(57)/sqrt(3) - sqrt(19))*1)**2. -7*sqrt(19) Simplify (sqrt(45)*3)**2 - (sqrt(5) - (0 + sqrt(30)/sqrt(6))**2). -sqrt(5) + 410 Simplify (sqrt(19) - (-1 + -1*sqrt(19))) + 2 + sqrt(19) + 0. 3 + 3*sqrt(19) Simplify sqrt(190)/(sqrt(1210) - (1*sqrt(1210) + sqrt(1210))). -sqrt(19)/11 Simplify 5*(((1 + sqrt(11))*6)**2 + sqrt(11)). 365*sqrt(11) + 2160 Simplify -3*2*sqrt(11) + (3*sqrt(396))**2. -6*sqrt(11) + 3564 Simplify (sqrt(2) + -2 - sqrt(2)) + 2 + (3*sqrt(8))**2. 72 Simplify ((sqrt(7) - (sqrt(7) - (-1 + (sqrt(7)*-1 - sqrt(7)))))*6*2)**2. 576*sqrt(7) + 4176 Simplify (sqrt(720) + 3)*-6 - sqrt(720). -84*sqrt(5) - 18 Simplify (sqrt(17) + (sqrt(17) - (sqrt(170)/(sqrt(10) + -2*sqrt(10)) - sqrt(17))) - sqrt(17) - sqrt(17)*-1*-4)**2. 17 Simplify (sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))) + -4. -4 + 2*sqrt(3) Simplify sqrt(36)/(sqrt(972)*1). sqrt(3)/9 Simplify (sqrt(228) - (3*-3*sqrt(228) - sqrt(228)))/(sqrt(432)*1). 11*sqrt(19)/6 Simplify ((sqrt(156) + -1*sqrt(156)*-3)/((sqrt(144) - sqrt(144)*2)/sqrt(12)))**2. 208 Simplify (sqrt(3) + sqrt(3) + (sqrt(6)/sqrt(2))**2*-5)*5. -75 + 10*sqrt(3) Simplify -1*-2*sqrt(320). 16*sqrt(5) Simplify sqrt(180) + ((sqrt(5) - sqrt(5)*1)*2 - sqrt(5)). 5*sqrt(5) Simplify (sqrt(468) + -1 + 3 + (-2 + -1*sqrt(468) - sqrt(468))**2)*-4. -7512 - 216*sqrt(13) Simplify (2 + sqrt(17) + sqrt(272))*-1. -5*sqrt(17) - 2 Simplify ((sqrt(18)*-4 - sqrt(2)) + -2 + sqrt(128))**2. 20*sqrt(2) + 54 Simplify (sqrt(70)*-3*-2)/sqrt(10)*2. 12*sqrt(7) Simplify 2*((-2 + 2*sqrt(2))**2 - (sqrt(8)/(sqrt(4)*-2))**2). -16*sqrt(2) + 23 Simplify 1*(sqrt(17) - sqrt(85)/sqrt(5)) + (sqrt(34)/sqrt(2) - sqrt(17)) + 1. 1 Simplify (-2*-5*(sqrt(117) +
{ "pile_set_name": "DM Mathematics" }
24 (b) 3/2 (c) -3 (d) s d Let j = 116 - 116. Let t be 4 + (2 + 2 - (-28)/(-7)). What is the nearest to j in -0.5, -3, t? -0.5 Let c = -1746 + 1746. Let f = -30 + 25. What is the nearest to c in 1, -0.8, f? -0.8 Let z = -0.3928 + 30.3928. What is the closest to -1/3 in z, 5, 3/2? 3/2 Let z = 0.096 + -0.523. Let l = z - 0.073. Let v be -2*(-4 - (-39)/12). Which is the nearest to -2/5? (a) v (b) 0.5 (c) l c Let z = -25.8316 + -0.1684. Let j = -59 + 30. Let c = j - z. What is the nearest to 3 in -4, 1/2, c? 1/2 Let n = 43/3 - 14. Let p = 9.3977 - -10.6023. Which is the closest to 1? (a) n (b) 3 (c) p a Let q = -3 - -1. Let d = 4 - 4.1. Let o = 40.12 - 40.32. Which is the nearest to o? (a) d (b) 0.04 (c) q a Let x = 362055.4 - 362055. Let o = -11 + 273/25. Which is the nearest to 0.1? (a) o (b) 24 (c) x a Let r = 755/812 + -141/116. Let i(d) = 8*d - 2. Let j be i(-5). What is the nearest to 0.1 in r, j, 5? r Let z = 4.76 - 8.76. Which is the closest to -1/3? (a) z (b) 36 (c) 5/6 c Suppose 4*m - 6 = 2*b, 15 - 5 = -2*b + 5*m. What is the closest to -1 in 0, 1/3, -2.2, b? 0 Let i be (-424)/(-583) - 222/33. Which is the nearest to -3.8? (a) 3 (b) -4 (c) i b Let x be (9/6 + 0)*36/(-90). Which is the nearest to -0.1? (a) 0 (b) 11 (c) 1/4 (d) x a Let d = 0.2 - 9.2. Let h be 6/(-9)*((-396)/15 + 27). Let y = 0.04 + 0.26. Which is the closest to h? (a) -3 (b) y (c) d b Let o = 4239 - 16957/4. Suppose 15 = -4*b + z, -3*b - z = -0*z + 6. Let r be b/2*(-4)/45. What is the closest to 0 in 0, r, o? 0 Let o = -0.1844 + -5.8156. Which is the closest to o? (a) 4/7 (b) -0.03 (c) -1 (d) -4 d Let i = -0.44794 + 0.04794. Which is the nearest to 0.067? (a) 0.08 (b) -5 (c) i (d) 3 a Let j(v) = v**3 - 2*v**2 - 7*v - 3. Let r be j(4). What is the nearest to r in -0.1, 102, 5, 0.4? 0.4 Let r = 5390 + -5394. What is the closest to 4/209 in 2, r, -3/2? -3/2 Let o = -1.588 - -0.588. Which is the nearest to o? (a) -0.2 (b) -3 (c) 1.5 a Suppose -89*w - 1359 = -437*w - 105*w. Which is the closest to 305? (a) w (b) -10 (c) 2/9 (d) -0.3 a Let k = 54.038 - 0.038. Let g = k - 57. Let r = 29 + -36. What is the closest to r in -1, g, 0.4? g Let d = -3897 - -3629. What is the nearest to 1/3 in 4, 2, d? 2 Let g be 7/2*(10 + (-126)/18)*2. Which is the closest to 0? (a) g (b) -3 (c) 0.6 c Let l be (13/(-6) - -2) + 212/984. Suppose -279 = 7*s - 286. Which is the nearest to l? (a) s (b) -2/7 (c) -2 (d) -1/5 d Let i = 11126 + -11126.4. Let w = -1.13 + 1.2. Let h = w - -0.43. What is the nearest to 0.3 in h, i, 2? h Let m = 631 - 1189. Let h = m + 633. What is the closest to h in -2/11, -5, 4? 4 Let p = 6.8 + -7.4. Let y = 85 + -89. What is the closest to p in -0.2, 2, y? -0.2 Let j = 356 + -355.8. What is the nearest to -1/28 in -0.5, 18, j? j Let q = -7.298 - -7.798. Let u be 3/(-2)*6/(-63). Which is the nearest to 1/19? (a) q (b) -3 (c) u c Let z = 359.34 + -359.64. Let j = -11 + 7. What is the closest to z in -5, 0.3, j? 0.3 Suppose -102 = q - 2*i - 91, 4 = -q + i. What is the nearest to 0.09 in 0, -0.4, q? 0 Let w = 37.65 + -37.65. Let r = -5.5 - -7.5. What is the closest to 0.1 in 4, w, r, -4/57? w Let b = 189 + -185. Let o be 6/(-12)*b/(-3). What is the nearest to -13/3 in o, 4, -3, 0.5? -3 Let a = -1.352 + 0.852. What is the closest to -0.1 in 132, a, -9? a Let r = -2.943046 - 0.056954. Let g be (-2 + 3)*(1 - -1). Let z be g/12*(-6)/4. What is the nearest to -9 in 1, z, r? r Let l = 0.9 - -0.1. Let w = 320/7 + -46. Suppose 16067*p - 34 = 2*n + 16069*p, n - 2*p = 22. Which is the nearest to l? (a) -1 (b) w (c) n b Let m = 17/6 - 37/12. Suppose -a - f + 2 = 0, 2*a + 6*f - 1 = 7*f. Let j = -120 + 124. What is the closest to m in j, 8, a? a Let a be 0 - 12/114 - 135/(-19). Suppose 0 = -5*p + a*p + 12*p. What is the closest to 0.3 in p, 4, 0.4? 0.4 Let p = 29 + -29. Suppose -2*t + 2*u + 8 = 0, 0 = -2*t - 2*t + 5*u + 20. Let f be (t/(-2))/(16 - 14). Which is the closest to p? (a) -0.1 (b) f (c) 1 b Let i = -563/1946 - -1/278. Let z = 53654 + -53655. What is the closest to i in -0.3, 2/5, z? -0.3 Let o(u) = -230*u + 59565. Let k be o(259). Let r = -1.98 - 0.02. Let h = -0.4 + -4.6. Which is the closest to k? (a) 1 (b) h (c) r b Let z = -421 + 421.4. What is the closest to 0 in z, -2/51, 0.3, -0.5? -2/51 Let r = -3022.8 + 3023. Let p = 13 + -10. What is the nearest to 1/4 in 0, p, r, -35? r Let y = -0.03 - -2.03. Let v = -119.8 + 2.8. Let a = 117.3 + v. What is the nearest to y in -0.2, a, -3? a Let c = 3/5 - 36/35. Let d be -1 + -7 - ((-312)/520)/((-6)/(-40)). What is the closest to -0.6 in 8, 2/9, c, d? c Let w = -122576/3 - -40860. Suppose -3*q + 0 + 15 = 0. Let p = q + -8. What is the closest to p in 1/3, w, -0.5? -0.5 Let u = -2057.4 + 2064.4. Which is the closest to -0.1? (a) 0.4 (b) u (c) -0.04 (d) -2/5 c Let z = 3656 - 3651. What is the closest to 1 in z, -4.38, 4, 1? 1 Let t = -0.22 + 0.2. Let w = 313 - 312.6. Let g = -2481 - -2480.9. What is the closest to t in -0.5, w, g? g Let l = -1 - -1.1. Suppose 0 = 6*j - 19*j + 26. Suppose 0 = j*o + n - 9, -o = -6*n + 11*n - 27. What is the closest to l in 0, o, -0.5? 0 Let p = 0.1005 - 4.2105. Let l = 0.79 - p. Let i = l - 4.6. What is the nearest to 1/4 in i, 4/7, -0.4? i Let o = -4 - -4.4. Let w = -1371 + 4054/3. Let v = w + 1009/51. Which is the nearest to 1? (a) v (b) o (c) -2 b Let m = 4475 - 4455. Which is the nearest to 2? (a) 1 (b) m (c) 0.1 (d) -0.5 a Let j = -4941 + 4939. Which is the closest to -0.2? (a) j (b) 36 (c) 0.1 c Let n = -23.72 + 23.72. Suppose 2 = u + 7. Which is the nearest to n? (a) u (b) 2/3 (c) -0.01 c Let o = 0 + -4. Let i be (-6)/4*(0 - (-4)/(-12)). Which is the closest to 0.2? (a) o (b) -2 (c) i c Let m = 195 + -191. Let g = -0.8 - -1.8. Which is the nearest to -2/3? (a) m (b) -1/5 (c) g b Suppose -2*u = 4, -5*p - 5*u + 3 = 23. Let x be (-5)/(5/p) + 13/1. Let s be ((-2)/(-3))/(35/x - -1). Which is the closest to s? (a) 1 (b) 0.1 (c) 2/7 c Let r = 0.6 - 0.2. Suppose -l + 2 - 5 = 0. Let n be (1/l)/(8/18). Which is the closest to -1? (a) -1/2 (b) n (c) r b Let q = 1095 + -1099. Suppose -2*t + 194 = 5*f - 0*f, -f + 31 = 3*t. Let u be 2/(f/(-6) - -2). What is the closest to q in 0, u, 2/3? u Let r = 3460 - 3461. Which is the closest to r? (a) -0.61 (b) -1/6 (c) 3 a Let c = -498/5 + 99. Suppose 11*l - 92 = 84. Let y be ((-4)/l - 0)*-4. What is the nearest to 1 in y, c, 0.2? y Let l = -4013.9 - -4014. Which is the closest to 3/4? (a) l (b) 10 (c) 0 (d) -3/2 a Let n = -15 - -12. Let w = n + -4. Let d = 10516 - 10511. Which is the closest to w? (a) 0 (b) 2 (c) d a Let l = -23 - -22.4. Let t = 0.4 - l. Let z = -141 + 139.2. Which is the closest to z? (a) t (b) 2/3 (c) 2/7 c Let y = 93.5 - 93. Let t = -10/797 - 14623/41444. Let z = 8/13 + t. Which is the closest to z? (a) -0.1 (b) 5 (c) y c Let s = -1 - 19. Let w be (4/40)/(6/(-36)). What is the nearest to -2 in -2/3, s, w? -2/3 Let t = -0.0052 - -1.0052. Let w = 0.14 + -2.64. Let c = w + 3.5. What is the closest to c in t, 5, -0.07? t Let w be 2 - (796/(-48) + 0). Let l = w + -55/3. Which is the nearest to l? (a) 0.4 (b) -0.3 (c) 3/5 (d) -17 a Let w = 189 - 165. Let j = w - 19. Which is the nearest to 0? (a) j (b) -1 (c) -0.1 c Let r = -90 + 125. Suppose 0 = 4*d - 3*v - 31, -2*v - r = -4*d - 1. Suppose 11*a = 9*a - d*a. What is the nearest to a in -0.2, -0.04, 0.1? -0.04 Suppose -3*z + y + 98 - 90 = 0, -z - 5*y - 24 = 0. What is the closest to z in -14/13, 0.2, -0.3, 3? 0.2 Let t = -7.4 - -7.5. Suppose 0 = -3*w + 4*r - 59, -7*w - r = -2*w + 83. Let v = -21 - w. Which is the closest to 0.1? (a) t (b) -0.2 (c) v a Let i = 146 - 204. Let n = i + 82. Let h = 24 - n. What is the nearest to -2/7 in h, -19, 0.5? h Let i = 136/427 + -2/61. Let v be (-49)/(-490) - 11/(-40). What is the nearest to 13 in v, -2/7, i? v Suppose 214 = 152*q - 242. Which is the closest to q? (a) -21 (b) -1/10 (c) 2/3 c Let h = -111 + 553/5. Let q = 317 - 319.19. Let j = -2.49 - q. What is the nearest to h in j, -2/7, 1? j Let j be 0/(-2) - (2 + (-57)/3). Suppose o = j*o + 80. Which is the closest to -1? (a) o (b) -2/259 (c) 4/3 b Let c = 465 + -468. Let q be ((-6)/27)/((-26)/(-112
{ "pile_set_name": "DM Mathematics" }
lowest common multiple of h and 14? 70 Let s = 1060649776222/2835 + -374126901. Let y = -4/567 - s. Find the common denominator of y and -17. 5 Let h = -206/37 - -4877/444. Calculate the common denominator of h and -43/10. 60 Let i(s) = -s**2 + 2*s + 39. What is the least common multiple of i(7) and 44? 44 Find the common denominator of 37/26 and (-58)/(-22) + 2/4. 286 Let m(c) = -c**3 + c**2. What is the least common multiple of 20 and m(-1)? 20 Let q(b) = 3*b**3 + 9*b**2 + 9*b + 6. Let v(x) = 3*x**3 + 8*x**2 + 8*x + 5. Let m(p) = 5*q(p) - 6*v(p). Calculate the smallest common multiple of m(-2) and 2. 18 Let p = -21499453/8 + 2679046. Let r be (4 - (-5566)/4)*-6. Let u = p - r. Calculate the common denominator of -34/3 and u. 24 Suppose 3 - 37 = -l + m, 2*l = -2*m + 60. Find the common denominator of -43/4 and 0/(-1) - 174/l. 16 Let p = 907/2 + -465. Suppose 47 = 3*x + x - v, -3*x - v + 37 = 0. What is the common denominator of 198/56 + (-3)/x and p? 14 Let w = 8920 + -106933/12. What is the common denominator of w and 68/33? 132 Find the common denominator of 3 + ((-119)/10 - 3) and (-10)/32*-6*2. 20 Let h = -8157 - -97963/12. Let d = 7708/9 - 44274743/51696. Let x = d - -307297/40208. Calculate the common denominator of h and x. 84 Suppose 0 = -3*a - 3*p + 6*p - 6, 0 = -5*a - 4*p + 35. Let m = -723 - -7179/10. What is the common denominator of m and a + 21/(-22)*-1? 110 Let a(u) = 2*u + 9. Let l be a(-6). Let n be (-2)/l + 23447/18. Let j = -1306 + n. Calculate the common denominator of 109/14 and j. 126 Let v = 30 - 21. Calculate the common denominator of 2/(-4) + 65/(-8) and (14/4)/((-12)/v). 8 Let h(l) = 2*l**2 - 4*l - 1. Let s be h(3). Let d = -5 + s. Let y(x) = -x + 22. Calculate the least common multiple of 2 and y(d). 22 Let y(s) = -s**2 + 7*s + 8. Let m be y(7). Suppose 5*g + m = g. Calculate the common denominator of g/(-5) + 761/(-90) and -25/2. 18 Suppose -v + 4 = 0, 4*p - 1 = v + 3. What is the smallest common multiple of p and (-9)/(-6)*64/6? 16 Let v be (-2)/15*-6*8305. Suppose 5*d - 5322 = -4*y, 6*y + 2*d - v = y. Let z = 14639/11 - y. Calculate the common denominator of 70/3 and z. 33 Find the common denominator of 13/12 and 4 + -2 - 1112/96. 12 Calculate the common denominator of -4/5 and (80/(-55))/8 + (-92)/(-143). 65 Suppose 2*q = 74 + 38. Suppose 0*i = 4*o + 5*i - q, o + 3 = 3*i. Calculate the least common multiple of o and 5. 45 Suppose -4*c + 19 = -2*c + 5*g, 5*c = -g + 36. Suppose 0 = -2*i - 3*s + 8 + 21, i = -4*s + 27. Calculate the least common multiple of c and i. 7 Let g(a) = 4*a - 17. Let n(v) = 9*v - 34. Let z(j) = 5*g(j) - 2*n(j). Let s(d) = d - 1. What is the least common multiple of s(2) and z(13)? 9 Suppose -2*q + 190 = 3*q. Suppose 2*j + q = 4*g, 9 = 3*j - 0*j. Let s(z) = -z**2 - 3*z + 2. Calculate the lowest common multiple of g and s(-2). 44 Suppose z + 0 = 1. Let b(x) = x**3 + 3*x**2 - x**3 - x - x**3. What is the smallest common multiple of 4 and b(z)? 4 Let s be (3 + 0)*1708/(-6). Calculate the common denominator of -23/5 and (s/(-35))/(2*1). 5 Let b be (9/2)/(2/4). Let v = 29 - b. Calculate the lowest common multiple of v and 16 - 1 - (0 + 1). 140 Calculate the common denominator of (103/6)/((-14)/(-6)) and -139/18. 126 Let k = 5 - 2. Suppose -301 = -4*t - 125. Suppose -o + t = 3*o. Calculate the least common multiple of o and k. 33 Let d(b) = -2*b**3 - 2*b**2 + b - 1. Calculate the lowest common multiple of 26 and d(-2). 130 Let g = 1/184 + 2345/184. Let w be -2*(3 + -4)*1. Calculate the common denominator of 3/(-60)*(w + 60) and g. 20 Let r = -1681 - 2256. Let m = r - -43338/11. What is the common denominator of 11/5 and m? 55 Suppose -5*u = 3*p - 61, -2*p + 0*p = 5*u - 64. Calculate the smallest common multiple of 20 and u. 140 Let v = 3419/5 - 40333/60. Let h = -69/34 + -485/272. Find the common denominator of v and h. 48 Let t(x) = 145*x - 6. Let f be t(7). Let h = -3070/3 + f. What is the common denominator of -13/9 and h? 9 Let v(g) = -g**2 - 6*g - 3. Let n be v(-3). Calculate the common denominator of 2/(-25)*5/4 and 6/(-22)*(-4)/n. 110 Let j be (-6)/1*(-8)/24. Let u be (j/6)/(5/315). Suppose n = -m - 2*n + 15, -u = -2*m + 3*n. Calculate the least common multiple of m and 18. 36 Let f(n) = 2*n - 4*n + 3*n + 2 - 1. What is the smallest common multiple of 2/(-4) - (-33)/2 and f(15)? 16 Let p = -1464999101/472 + 3103814. Let v = p + -13/59. What is the common denominator of 1810/84 + 2/7 and v? 24 Let j = 51 - 34. Let n = -9 + j. What is the lowest common multiple of 13 and n? 104 Let h = 5096/5 - 1015. Find the common denominator of 24/5 and h. 5 Let s(i) = -i**3 + 8*i**2 + i + 4. What is the lowest common multiple of s(8) and 80? 240 Suppose -3*g + 574 = -2*w, -5*g + 5*w - 44 + 994 = 0. What is the smallest common multiple of 18 and g? 1746 Let s be 144/(-14) + (-8)/(-28). Let u = 13 + s. What is the lowest common multiple of u and 11? 33 Let p(j) = -j**3 - 2*j**2 - j - 1. Suppose 0 = -v - 3*k + 4, -7*v + 2*v + k + 36 = 0. Calculate the least common multiple of p(-2) and v. 7 Let g be (-6 - -1)/(10/(-4)). What is the smallest common multiple of (1 - g)*(-9 - -3) and 14? 42 Suppose 0 = 3*m - 3, 7*s - 6 = 2*s - m. Suppose -i + u + s = 0, -i + u = i - 4. Suppose -3*w = -15 - i. Calculate the smallest common multiple of w and 16. 48 Let a = 5457 - 9545. Let l = a + 32635/8. Find the common denominator of -36/7 and l. 56 Let v = 3 - 1. Let u be 2*1/(v/5). Let z = u - -4. Calculate the lowest common multiple of 5 and z. 45 What is the common denominator of 47/2 and 0 + 0 - 203/(-882)? 126 Let r = 492347 + -4381667/9. Let x = -5502 + r. What is the common denominator of x and 91/10? 90 Calculate the least common multiple of ((-1908)/(-30) - -4) + 4/10 and 4. 68 Let s = -3/601 - -41475/1202. Find the common denominator of 0 - 62/(-14)*1 and s. 14 Calculate the smallest common multiple of -2*((-252)/8)/7 and 42. 126 Let n = -7056 - -4558175/646. Let a = 4189/6460 - n. What is the common denominator of a and 61/18? 180 Let p be (-20)/(-7) - (-4)/(-2). Let m = 339/70 + p. Let h = -1178/153 - 7/17. Calculate the common denominator of h and m. 90 Suppose -3*y - 22 = -43. What is the smallest common multiple of 3 - (-2 - -2) - 1 and y? 14 Let d = -1219 + 26787/22. What is the common denominator of d and 3/(144/302)*-2? 132 Let j = 102 - 711/7. What is the common denominator of 38 and j? 7 Let r = 555293/45800 - -4/5725. What is the common denominator of r and (-1 - -74)*(-1)/12? 24 Let i = -1093/224 - -99/32. Calculate the common denominator of i and 12/(-32) - (-245)/168. 84 What is the smallest common multiple of 7 and (10/7)/((-2)/(-14))? 70 Calculate the common denominator of 9/62 and (-67)/(-11) - (-1)/(1/(-4)). 682 Let d be (0 + 4)/(14/7). Suppose -h + d*h - 6 = 0. Calculate the lowest common multiple of h and 2. 6 Suppose 0 = 2*x + 9 + 11. Let w = x + 17. Calculate the least common multiple of 5 and w. 35 Suppose 105 = 11*m - 5. What is the least common multiple of 44 and m? 220 What is the common denominator of (6/(-21))/(1695/(-1659) - -1) and (-49)/33 - 1/3? 66 Let w be (-240759)/48 + (-12)/8. Let q = w + 5014. What is the common denominator of q and 53/4? 16 Let n = -60/181 - 11647/1448. Let p = -1365 + 2675/2. Calculate the common denominator of p and n. 8 Suppose 2*b - 31 = 1. Let l = 6 - 2. What is the least common multiple of l and b? 16 Suppose -3*i - i + 48 = 0. Calculate the smallest common multiple of i and 12. 12 Calculate the least common multiple of (-5133)/(-145) - 1/(-5)*3 and 6. 36 What is the common denominator of -4 - -8 - 124/16 and -12? 4 Let v = 76697953231185/12784 - 5999527009. Let n = -4/799 + v. Calculate the common denominator of 75/2 and n. 16 Let g = -51621/8 - -6440. Calculate the common denominator of g and 101/14. 56 Let n = -15 + 9. Let a = -4 - n. Suppose -a*g = -3*i - 9, -i + 0 = 1. Calculate the smallest common multiple of 3 and g. 3 Suppose 3 = 3*a - 2*a. Suppose -2*g - 10 = 0, -a = b - 3*b - g. Suppose -b*f = -7 - 1. Calculate the least common multiple of f and 11. 22 Let w(u) = -5*u - 3. Calculate the least common multiple of 24 and w(-3). 24 Let r = -148 + 158. Calculate the smallest common multiple of 10 and r. 10 Suppose 5*f - 4*l = 3496, 8*l - 3*l + 27
{ "pile_set_name": "DM Mathematics" }
- 6*z(p). -2*p**3 - 2*p**2 + 84 Let s(u) = 6*u - 5. Let c = -97 + 100. Suppose 0 = -d - 4*d - 40. Let a(h) = 2*h - 2. Give c*s(q) + d*a(q). 2*q + 1 Let z(g) = 8*g - 7*g - 139*g**2 + 140*g**2. Let m(q) = 20*q**2 + 12*q. Give m(i) - 12*z(i). 8*i**2 Let w(k) = k**2 - 2*k - 4. Let z(x) be the first derivative of 0*x**2 + x - 1/3*x**3 + 10. What is -w(s) - 3*z(s)? 2*s**2 + 2*s + 1 Suppose 13*k = 6 + 7. Let y(h) = -h + 5. Let l(t) = -1. Determine k*y(p) + 3*l(p). -p + 2 Let k(h) = 8*h**3 - 8*h - 8. Let z(d) = -d - 1. Suppose 3*f + t = 19, 0 = 4*f + 3*t - 17 - 0. What is f*z(r) - k(r)? -8*r**3 Let b(z) = 374*z + 4. Let h(f) = -16833*f - 181. Determine 181*b(c) + 4*h(c). 362*c Let p(x) = 6*x**2 + 5*x + 14. Let g(j) = 10*j**2 + 11*j + 29. Determine -4*g(v) + 9*p(v). 14*v**2 + v + 10 Suppose -5*t = -4*v - 21, -2*t + 196*v = 199*v + 10. Let c(d) = 3. Let q(k) = -k. Determine t*q(s) + c(s). -s + 3 Let c(r) = -3*r + 7. Let g(j) = j - 2. Let s(t) = -2*c(t) - 7*g(t). Let h(p) = -2*p + 1. What is h(n) - 6*s(n)? 4*n + 1 Let z(x) = 29*x + 19. Let o(q) = -10*q - 7. Let y(a) = -17*o(a) - 6*z(a). Let m(s) = -s + 2. Give 11*m(b) - 4*y(b). 5*b + 2 Let x(v) = 3*v + 3. Suppose 0 = -a - 5 + 5. Suppose a = -j + 4*y - 5, 0 = 4*j - 2*y - 3*y + 20. Let p(g) = 2*g + 1. Determine j*p(z) + 2*x(z). -4*z + 1 Suppose 8*n + 25 = -5*q + 10*n, -53 = 4*q + 5*n. Let c(z) = 2*z - 4*z + z. Let o(p) = p. Determine q*c(j) - 3*o(j). 4*j Let i(g) = -16*g - 5. Let p(t) = -47*t - 14. Let w(c) = 15*c - 58. Let f be w(5). Give f*i(j) - 6*p(j). 10*j - 1 Let x(d) = d**2 - d. Let u(w) = 2*w**2 + 3*w**2 + 10170*w + 2 - 10175*w. Determine -u(k) + 6*x(k). k**2 - k - 2 Let h(n) = -n**2 - 8*n - 7. Let j be h(-6). Let i(o) = o**3 - 3*o**2 - 2*o + 3. Let k(z) = -2*z**3 + 5*z**2 + 4*z - 5. Give j*i(s) + 3*k(s). -s**3 + 2*s Let r(k) = -2*k - 5. Let n(m) = m + 3. Suppose 3*j + 10 = -w, -4*j = j + w + 20. Let v(t) = t**3 + 4*t**2 - 4*t + 2. Let s be v(j). Determine s*r(o) - 5*n(o). o Let o(z) = 3*z + 6. Let j(v) = -2*v + 1. What is 2*j(m) - o(m)? -7*m - 4 Let m be ((-40)/(-12))/((-2)/6). Let q(j) be the first derivative of 3*j**2/2 - 7*j - 4. Let t(y) = -2*y + 4. Give m*t(i) - 6*q(i). 2*i + 2 Let y(q) = q**3 + 3*q**2 - 3*q. Let l(j) = 2*j**2 + 5*j**3 - 4*j**3 - 2*j + 0*j**2. Suppose 17*c + 6 = 14*c. Determine c*y(h) + 3*l(h). h**3 Let z(k) = 2*k**2. Let g(y) = 5*y**2 - 5*y + 23. Determine -g(i) + 3*z(i). i**2 + 5*i - 23 Let n(m) = -m - 1 + 0*m**2 + 4*m**2 - 2*m + 6*m. Let s(z) = -2*z**2 - 2*z + 1. Let w = 358 - 355. Calculate w*n(j) + 5*s(j). 2*j**2 - j + 2 Let l(c) = -2*c + 14. Let n(j) = j - 22. Let v be n(10). Let b(a) = -1. Determine v*b(p) - l(p). 2*p - 2 Let i(x) = 1. Let b(g) = 24*g + 2. Determine -b(t) - 4*i(t). -24*t - 6 Let i(x) = 9*x**3 - 6*x**2 - 4*x + 1. Let m(f) = -9*f**3 + 7*f**2 + 4*f - 1. Calculate 7*i(z) + 6*m(z). 9*z**3 - 4*z + 1 Let i be (42/(-49))/(3/(-21)). Let h(s) = s - 11 - 9 + 27 - i. Let l(a) = -a**3 + 2*a**2 - a + 1. Give -h(o) + l(o). -o**3 + 2*o**2 - 2*o Let o(w) = -4*w**2 - 10*w + 1. Let y be o(-3). Let d(z) = 7*z + 5. Let l(j) = -70*j - 49. Determine y*l(p) - 49*d(p). 7*p Let g(o) = -o + 6. Let b be g(7). Let c(w) = 2*w - 2. Let i(z) = -z. Let s be (4/(-12))/(1/9). Calculate b*c(a) + s*i(a). a + 2 Let m(d) = 3*d + 52. Let n(j) = 4*j + 52. Give 3*m(y) - 2*n(y). y + 52 Let m(w) = -w + 1. Let b be 2 + -2 + (5 - 3). Let f(d) = -45*d**2 + 8 - 2 - 6*d + 48*d**b. What is f(h) - 6*m(h)? 3*h**2 Let w(f) = -f - 3. Let o be w(-14). Let l(p) = 21*p + 5 - 11*p - o*p. Let k(j) = 2*j - 9. Determine 3*k(n) + 5*l(n). n - 2 Let x(o) = -9*o**2 + 4*o - 4. Let q(r) be the first derivative of 19*r**3/3 - 9*r**2/2 + 9*r - 39. Determine -4*q(u) - 9*x(u). 5*u**2 Let k(m) = -8*m**3 + 11*m**2 - 6*m. Suppose -26*j - 10 = -21*j. Let w be -2 + j + -8 - -1. Let c(v) = -3*v**3 + 4*v**2 - 2*v. Calculate w*c(q) + 4*k(q). q**3 - 2*q Let l(h) = 4*h - 4. Let b(w) = -1. Let k(f) = f - 7. Let z(q) = 6*b(q) - k(q). Let n be 4/(-10)*(-1 - 12/8). What is n*l(j) + 2*z(j)? 2*j - 2 Let d(j) = 7*j - 47. Let h(q) = -15*q + 91. What is 13*d(c) + 6*h(c)? c - 65 Let j(q) = 5*q**3 - 4*q**2 + q + 1. Let s(z) = -2*z**2 - z**3 + 1 + 0 - z**2 + z + 5*z**3. Let f(u) = 7*u - 73. Let c be f(10). Calculate c*j(l) + 4*s(l). l**3 + l + 1 Let m(i) be the third derivative of -12*i**2 + 0*i - 5/6*i**3 + 0 + 1/24*i**4. Let d(q) = -3*q + 18. Determine -5*d(w) - 18*m(w). -3*w Let o(s) = 352*s**2 + 220. Let u(q) = -q**2 - 1. What is o(b) + 220*u(b)? 132*b**2 Let b(d) = d**3 + 2*d + 1. Let r(s) = -s**3. Let c be (4/3)/((-1)/(-6)). Suppose 4*l = -4*l - c. Give l*b(p) - 3*r(p). 2*p**3 - 2*p - 1 Let m(x) = -142*x**3 + 2*x**2 + 2*x + 2. Let t(s) = s**3 - 1. What is -m(i) - 2*t(i)? 140*i**3 - 2*i**2 - 2*i Let p(k) = k**2 + k + 2. Let z(h) = 54*h**2 + 4*h + 12. Calculate 12*p(l) - 2*z(l). -96*l**2 + 4*l Let i(w) = 5 + 16*w + 4*w**3 - 6*w + w**2 + 2. Let l(z) = z**3 + 3*z + 2. Suppose 5*v = -2*b + 24, v + 33 = -332*b + 337*b. Give v*i(f) - 7*l(f). f**3 + 2*f**2 - f Let p(n) = -27*n**2 + 7*n - 2. Let z(h) = -14*h**2 + 3*h - 2. Calculate 2*p(g) - 5*z(g). 16*g**2 - g + 6 Let a(k) = k + 1. Suppose 8*t = -208 + 600. Let q = -53 + t. Let s(x) = 4*x**2 + 6*x + 6. Give q*a(c) + s(c). 4*c**2 + 2*c + 2 Let a(n) = -n**2 + 3*n. Let b(m) = m**2 - 2*m. Let j = 1878 - 1884. Calculate j*a(u) - 7*b(u). -u**2 - 4*u Let g(q) be the third derivative of -q**6/120 + q**5/60 - q**4/24 + 188*q**2. Let x(y) = -y - 1 + 1 + 2 + y**2. Give -g(n) + x(n). n**3 + 2 Let p(c) = 11*c**2 - 406*c + 16. Let a(v) = 4*v**2 - 135*v + 6. Give -8*a(t) + 3*p(t). t**2 - 138*t Let u(v) = -22*v**3 - 13*v**2 - 13*v - 13. Let c = -951 + 957. Let g(n) = -11*n**3 - 6*n**2 - 6*n - 6. Give c*u(l) - 13*g(l). 11*l**3 Let i(y) = -26*y**3 - 11*y**2 + 9*y - 6. Let o(f) = 13*f**3 + 6*f**2 - 5*f + 3. Determine -6*i(z) - 11*o(z). 13*z**3 + z + 3 Let r(w) = 5*w**3 - w**2 + 8. Let u(g) = -4*g**3 + g**2 - 10. Determine 5*r(h) + 6*u(h). h**3 + h**2 - 20 Let k(c) = c. Let l(o) = o**2. Let j = -958 + 960. Determine j*k(f) - 2*l(f). -2*f**2 + 2*f Let f(x) be the first derivative of 1/2*x**2 + x**3 + 7/4*x**4 - 5*x + 15. Let q(m) = -4*m**3 - 2*m**2 + 3. Calculate 3*f(o) + 5*q(o). o**3 - o**2 + 3*o Let p(u) = u**3 - u**2 + 1. Let g(l) = -2*l**3 - 2*l**2 - 5. Let d(j) = 2*j**2 - j + 1. Let n(a) = 2*d(a) + g(a). Determine n(c) + 3*p(c). c**3 - c**2 - 2*c Let p(j) = 2*j**2 - 2*j + 5. Let r(g) be the third derivative of -g**5/30 + g**4/8 - g**3 + 2*g**2 + 78*g. Determine 4*p(o) + 3*r(o). 2*o**2 + o + 2 Let t(j) = 8*j**2 + 4*j + 27. Let b(v) = -v**2 - v - 1. Determine -5*b(r) - t(r). -3*r**2 + r - 22 Let o(b) = -13*b**2 + 7*b + 5. Let y(r) = -2*r**2 + 12*r + 23. Let g(p) = -p - 2. Let x(d) = -22*g(d) - 2*y(d). Determine 2*o(s) + 7*x(s). 2*s**2 - 4 Let i(g) = 265*g**2 - 2 + 9*g**3 + 11 - 274*g**2. Let z(x) = 4*x**3 - 5*x**2 + 5. Give 5*i(v) - 9*z(v). 9*v**3 Suppose 4*r + 9 = 25. Suppose r*i = i + 3. Let m(q) = 6*q**2 - 2*q - 2. Let u(p) = -p**2 + p + 1. Calculate i*m(t) + 2*u(t). 4*t**2 Let z(y) = -11*y**3 + 2*y**2 + 2*y - 2. Let n(w) = -w**2 - w + 1. Let j(p) = p**2 - 21*p - 74. Let q be j(24). Determine q*n(a) - z(a). 11*a**3 Let j be 3/(-12) + 18/8. Let v(w) = 2 - w**j - 5*w + 2*w**2 + 5 + 4*w**2. Let s(l) = 3*l**2 - 3*l + 4. Calculate -7*s(r) + 4*v(r). -r**2 + r Let w(y) = -201*y**3 + 4*y**2 - 5*y + 12. Let t(i) = 404*i**3 - 7*i**2 + 9*i - 21. Give -4*t(m) - 7*w(m). -209*m**3 - m Let f(q) = 63*q**3 + 4*q + 4. Let s(o) = 4661*o**3 + 295*o + 295. Calculate 295*f(n) - 4*s(n). -59*n**3 Let d be (-2)/(-8)*(-8 - -4) - 2. Let g(m) = -m - 1. Let f(h) be the second derivative of -h**5/20 - h**3/3 - h**2 - 9*h. Determine d*g(p) + 2*f(p). -2*p**3 - p - 1 Let v(y) = -y + 2. Let z(q) be the second derivative of -q**3/3 + 2*q**2 - 36*q - 2. What is -5*v(x) + 2*z(x)? x - 2 Let s(b) = -3*b + 2*b + 2*b. Let g be (-82)/8 + 2/8. Suppose d - 8 = 2*j, 3 = -3*j - 3. Let v(y) = 3*y. Give d*v(h) + g*s(h). 2*h Let y(v) = v - 1. Let x(u) = 8*u - 8. Suppose -13*j + 10 = -8*j. Let b(f) = -44 + 16*f + 9 - 17*f. Let s be b(-21). What is j*x(z) + s*y(z)? 2*z - 2 Let v(z) = 8*z**3 + 3*z**2 + 3. Let m(q) = -17*q**3 - 5*q**2 - 5. Let i = 867 + -872. Give i*v(x) - 3*m(x). 11*x**3 Let g = -737 + 742. Let j(v) = 18*v**3 + 16*v**2 - 16*v + 16. Let f(h
{ "pile_set_name": "DM Mathematics" }
t j(w) = 32*w - 478. Give j(15). 2 Let c(q) = q**3 - 15*q**2 - 5*q + 254. Give c(14). -12 Let d(a) = -711*a - 2034. What is d(-3)? 99 Let w(p) = -131*p + 446. Give w(4). -78 Let m(g) = 212*g + 657. Give m(-3). 21 Let a(w) = 50*w - 2441. What is a(49)? 9 Let p(c) = -181*c - 50. What is p(-2)? 312 Let h(k) = k**3 - 1992*k**2 + 15871*k + 2. Determine h(8). -6 Let u(m) = m**3 + 79*m**2 - 8*m - 679. Give u(-79). -47 Let q(j) = -2*j**3 - 73*j**2 + 39*j + 60. Determine q(-37). -14 Let m(g) = 253*g + 5118. Give m(-20). 58 Let c(n) = 235*n - 579. Give c(3). 126 Let v(l) = 1300*l - 12992. What is v(10)? 8 Let h(t) = -29*t + 1880. Give h(65). -5 Let v(y) = -8*y**2 - 232*y - 36. What is v(-29)? -36 Let s(f) = -314*f**2 - 9735*f - 16. Give s(-31). 15 Let s(c) = c**3 + 10*c**2 - 15*c - 93. What is s(-3)? 15 Let x(y) = -y**2 + 187*y + 8041. Give x(223). 13 Let t(k) = -k**3 + 2*k**2 + 7*k - 43. Calculate t(-4). 25 Let j(n) = -n**2 - 28*n - 289. Calculate j(-16). -97 Let f(y) = 11*y**3 + 460*y**2 - 90*y - 268. Give f(-42). -16 Let r(u) = 3*u**3 + 2. What is r(-1)? -1 Let l(v) = v**3 + 17*v**2 + 60*v - 66. Give l(-12). -66 Let b(t) = -t**3 - 4*t**2 + 20*t - 48. Give b(3). -51 Let b(m) = 1488*m - 95230. Calculate b(64). 2 Let n(h) = -8*h + 99. Calculate n(14). -13 Let b(h) = 5*h**3 - 3*h**2 - 10*h + 20. Determine b(2). 28 Let j(a) = -92*a + 223. Calculate j(11). -789 Let i(v) = v**3 - 109*v**2 - 343*v + 782. What is i(112)? -2 Let t(r) = -5*r**2 + 663*r + 935. Determine t(134). -3 Let j(h) = h**2 - 26*h + 56. What is j(25)? 31 Let x(n) = -2*n**2 - 35*n - 151. Calculate x(-20). -251 Let f(g) = 31*g - 2179. Determine f(70). -9 Let w(m) = m**2 - 15*m - 131. Determine w(20). -31 Let c(k) = k**3 - 16*k**2 - 37*k - 10. Give c(18). -28 Let z(y) = y**2 + 37*y - 781. Give z(-53). 67 Let w(l) = l**2 + 73*l + 961. Calculate w(-17). 9 Let o(f) = 9*f - 27. Calculate o(-2). -45 Let z(v) = -63*v**2 + 269*v - 58. Calculate z(4). 10 Let n(m) = 4*m**3 - 25*m**2 - 162*m + 1003. What is n(6)? -5 Let f(p) = -115*p - 1248. Determine f(-11). 17 Let h(i) = -i**3 + 29*i**2 - 99*i + 2. What is h(25)? 27 Let c(j) = j**3 - 155*j**2 - 800*j + 2. Calculate c(-5). 2 Let a(s) = s**3 - 3*s**2 - 5*s - 4. Give a(-5). -179 Let d(r) = -13*r**2 - 321*r + 127. Give d(-25). 27 Let n(s) = s**2 - 14*s - 29. What is n(14)? -29 Let i(g) = -342*g - 18111. What is i(-53)? 15 Let h(u) = u**2 + 107*u - 10495. Determine h(-169). -17 Let s(p) = -p**2 + 17*p + 137. What is s(-5)? 27 Let w(z) = -284*z - 7985. What is w(-28)? -33 Let i(a) = -a**3 - 9*a**2 + 235*a + 47. What is i(-21)? 404 Let w(r) = -197*r + 3146. What is w(16)? -6 Let x(a) = -2*a**3 - 17*a**2 - 41*a - 12. Calculate x(-9). 438 Let y(r) = -14*r**3 + 19*r**2 - r + 2. Give y(1). 6 Let f(o) = o**2 - 45*o + 23. Calculate f(44). -21 Let a(y) = y**3 - 74*y**2 + 142*y + 124. Give a(72). -20 Let q(d) = -d**3 - 183*d**2 + 311*d - 10881. What is q(-185)? 34 Let u(o) = 42*o + 1731. Calculate u(-41). 9 Let v(y) = -2*y**3 + 97*y**2 - 30*y - 883. What is v(48)? -19 Let p(u) = -14*u**2 + 84*u + 18. Determine p(11). -752 Let r(t) = 6*t**2 - 405*t - 620. Give r(69). 1 Let f(t) = 2*t**2 - 41*t - 4. Give f(19). -61 Let f(y) = y**3 - 12*y**2 + 17*y + 32. Calculate f(9). -58 Let u(k) = 4*k**2 + 20*k - 144. Calculate u(6). 120 Let d(w) = -50*w - 377. Calculate d(-5). -127 Let m(t) = 543*t - 1098. Determine m(2). -12 Let c(u) = -17*u**2 - 22*u - 8. What is c(0)? -8 Let u(r) = -273*r - 15011. Give u(-55). 4 Let f(i) = -83*i**2 + 513*i - 83. Give f(6). 7 Let u(h) = -48*h + 45. Determine u(12). -531 Let t(j) = 15*j - 1369. Give t(92). 11 Let s(q) = -685*q - 142. What is s(0)? -142 Let t(p) = 476*p - 1913. Determine t(4). -9 Let t(d) = -d**2 - 23*d - 55. What is t(-25)? -105 Let c(o) = -o**2 + 66*o - 568. What is c(44)? 400 Let n(t) = -243*t - 477. Calculate n(-2). 9 Let x(w) = -414*w + 11598. Give x(28). 6 Let y(a) = 5*a**2 - 120*a - 259. What is y(26)? 1 Let m(y) = -2*y**3 + 284*y**2 - 278*y - 557. Determine m(141). 7 Let j(c) = -c + 303. Give j(13). 290 Let r(f) = -71*f + 777. Determine r(11). -4 Let v(b) = -35*b + 255. What is v(5)? 80 Let w(a) = -13*a**3 - 91*a**2 - 6*a - 47. What is w(-7)? -5 Let q(f) = 6*f + 177. What is q(-18)? 69 Let t(s) = -s**2 + 447*s + 15328. What is t(-32)? 0 Let o(h) = -h**2 + 25*h + 252. Calculate o(-8). -12 Let y(k) = 69*k - 1038. Determine y(14). -72 Let h(v) = 10*v**2 + 4*v - 105. Calculate h(3). -3 Let f(d) = d**3 + 95*d + 370. Give f(0). 370 Let k(d) = -d**2 - 20*d - 112. Give k(-9). -13 Let u(z) = -28*z**2 + 96*z + 294. What is u(-3)? -246 Let m(c) = -6*c - 561. Determine m(-65). -171 Let k(a) = -494*a - 7949. Calculate k(-16). -45 Let g(i) = 150*i + 1361. What is g(-9)? 11 Let n(m) = -12*m + 33. What is n(-8)? 129 Let s(o) = 162*o + 68. Determine s(-1). -94 Let m(b) = -b**2 - 38*b + 111. What is m(-34)? 247 Let f(o) = o**3 + 16*o**2 + 31*o + 80. What is f(-13)? 184 Let x(t) = t**3 - 11*t**2 + 100*t - 340. Determine x(5). 10 Let u(r) = -r**3 + 10*r**2 + 51*r - 307. Determine u(8). 229 Let d(y) = 240*y + 2634. Calculate d(-11). -6 Let m(o) = 5*o**3 - 7*o**2 + 3*o + 11. Determine m(2). 29 Let j(u) = 266*u**2 + 543*u + 3. Give j(-2). -19 Let o(f) = 2*f**2 + 47*f + 202. Calculate o(-17). -19 Let m(n) = 12*n**2 - 69*n - 25. Give m(6). -7 Let d(f) = -3*f**3 - 126*f**2 + 549*f - 137. Determine d(-46). 1 Let v(a) = 4*a**2 - 893*a + 2651. Calculate v(3). 8 Let w(z) = 2*z**3 - 31*z**2 - 61*z + 164. Determine w(17). -6 Let y(s) = -2*s**3 - 77*s**2 - 35*s - 62. What is y(-38)? -176 Let y(r) = 23*r**2 - 2093*r + 8. Give y(91). 8 Let o(f) = -25*f**2 - 129*f + 2. Determine o(-4). 118 Let a(t) = -21*t**2 + 449*t - 60. What is a(21)? 108 Let r(d) = -137*d + 5082. Calculate r(37). 13 Let u(i) = i**2 - 59*i - 1450. Calculate u(78). 32 Let y(a) = -a**3 + 5*a**2 - 6*a. Give y(6). -72 Let g(q) = 342*q + 4112. What is g(-12)? 8 Let y(w) = 3*w**2 - 71*w - 55. Determine y(24). -31 Let f(p) = -3*p**3 + 26*p**2 + 8*p + 18. What is f(9)? 9 Let x(t) = 2*t**3 - 59*t**2 + 81*t + 27. Determine x(28). -57 Let v(h) = -732*h**2 - 15*h + 14. Determine v(1). -733 Let r(i) = i**3 + 36*i**2 - 8*i - 290. What is r(-36)? -2 Let u(d) = -2*d**3 - 40*d**2 + 319*d - 44. Determine u(6). -2 Let l(m) = m**3 + 17*m**2 - 62*m - 29. Give l(-20). 11 Let t(j) = -j**3 + 22*j**2 - 81*j - 455. Determine t(13). 13 Let f(d) = d - 112. Determine f(18). -94 Let w(k) = 31*k + 87. What is w(-1)? 56 Let g(h) = -532*h + 8517. What is g(16)? 5 Let u(l) = l**2 + 106*l + 523. What is u(-5)? 18 Let l(o) = 435*o**2 - 1296*o - 14. Calculate l(3). 13 Let i(a) = a**2 + 2*a + 2. What is i(-5)? 17 Let v(b) = 42*b**2 - 44*b - 44. Calculate v(-1). 42 Let v(u) = -18*u - 120. Give v(-14). 132 Let y(d) = -2*d**2 - 15*d + 6. Give y(1). -11 Let w(l) = -6*l**3 + 20*l**2 - 6*l + 3. Give w(3). 3 Let c(y) = -y**3 - 50*y**2 - 385*y + 606. Calculate c(-40). 6 Let y(p) = -5*p**2 - 47*p + 137. Determine y(-10). 107 Let r(z) = 3*z**2 - 581*z + 3924. What is r(7)? 4 Let l(o) = 5*o**2 - 35*o - 30. Calculate l(9). 60 Let p(o) = 2*o**3 + 8*o**2 - 4*o + 16. Determine p(-5). -14 Let b(m) = 21*m**2 + 83*m - 1. What is b(-4)? 3 Let l(p) = 2*p**3 + 12*p**2 + 16*p + 27. What is l(-4)? 27 Let x(w) = 29*w**2 - 151*w - 7. Give x(6). 131 Let u(s) = s**2 + 36*s - 151. Calculate u(-37). -114 Let r(u) = 124*u + 254. What is r(-3)? -118 Let r(g) = -393*g - 6743. Calculate r(-17). -62 Let x(r) = -116*r + 13. What is x(-2)? 245 Let z(g) = 3*g**2 + 8*g - 31. What is z(-6)? 29 Let v(l) = -2*l**2 + 96*l - 1580. What is v(24)? -428 Let w(o) = -12*o**2 + 5*o - 4. What is w(3)? -97 Let s(d) = d**2 + 16*d - 61. Determine s(-14). -89 Let k(t) = -68*t**2 + 4216*t - 31. What is k(62)? -31 Let l(p) = 9*p**2 - 1355*p - 3348. Give l(153). 18 Let g(h) = 53*h - 161. Give g(3). -2 Let o(p) = -5*p**3 - 15*p**2 + 3*p + 13. Determine o(-3). 4 Let o(t) = -81*t - 245. Give o(-3). -2 Let k(i) = 3*i**2 - 86*i + 32. Calculate k(28). -24 Let t(i) = -752*i + 23316. Determine t(31). 4 Let y(z) = -6*z**2 - 20*z - 14. Give y(-3). -8 Let u(m) = -13*m**2 + 1056*m - 1055. Calculate u(1). -12 Let g(l) = -l**3 + 12*l**2 + 61*l + 17. What is g(16)? -31 Let b(f) = -f**2 + 15*f + 1934. Calculate b(53). -80 Let i(q) = 3286*q**2 + 23002*q + 16. Determine i(-7). 16 Let w(i) = i*
{ "pile_set_name": "DM Mathematics" }
+ x + b*q**2 + k*q**3 + a*q**4 and give k. 210 Rearrange (b - b**3 + b - 5*b)*(-13*b - 49*b + 38*b) - 39*b**4 + 349*b**2 - 349*b**2 to g*b**2 + m + l*b**4 + p*b + z*b**3 and give l. -15 Express (9*x + 0 + 0)*(-86 + 285 + 371 + 81) as s*x + o and give s. 5859 Rearrange -5 + 0 + 3 + 195*w**3 + 2*w**2 + 3365*w**3 + 5055*w**3 to the form d*w**3 + t*w + c + h*w**2 and give c. -2 Express 2305*v + 2311*v - 4614*v + 129*v**2 - 2 + (1 - 4 + 4)*(5*v**2 + 0*v**2 - 3*v**2) in the form b*v**2 + k*v + y and give b. 131 Express -2140*z**4 + 4229*z**4 + z**3 + 2*z**2 - 2113*z**4 + 10*z in the form n*z + v + r*z**4 + f*z**2 + o*z**3 and give f. 2 Express -34100*l**3 + 34100*l**3 + l + 3*l**2 - 1336*l**4 in the form w + z*l**4 + t*l**2 + h*l**3 + r*l and give w. 0 Rearrange -o**3 + 52402 + 0*o**3 + 968*o**4 - 3279*o**4 - 52400 to the form r + v*o + u*o**4 + h*o**3 + s*o**2 and give h. -1 Rearrange 32*z + 4371*z**2 - 1450*z**2 - 2 - 1460*z**2 - 1455*z**2 to the form j*z + y + u*z**2 and give y. -2 Rearrange 1 - 1 - 29864132*a + 29857319*a to the form z + f*a and give f. -6813 Express (-3*t - 2*t + t)*(-3*t + 2*t + 2*t)*(744*t - 416*t - 2 - 542*t) in the form z*t**3 + a*t + w + d*t**2 and give d. 8 Rearrange 97 + 310 - 16*a - 12*a + 7*a - 4*a to q*a + v and give q. -25 Express (12 - 139533*c**2 - 140443*c**2 + 282652*c**2)*(-2*c + 2 - 2) as h*c + o + l*c**3 + t*c**2 and give l. -5352 Express 2*d - 3 + 5 - 352*d**2 + 1052*d**2 - 351*d**2 - 342*d**2 + 37*d**3 in the form n + s*d**3 + c*d + h*d**2 and give c. 2 Rearrange -y**3 - 4*y**3 + 3*y**3 + (0 + 1 + 1)*(15*y - 15*y - 13*y**3) + 5690*y**3 - 72*y - 5687*y**3 - 90*y to w*y**3 + q*y + f + x*y**2 and give q. -162 Express 4184 - 4129 + 2*i**3 + 0*i**3 + 23*i**2 in the form j*i**2 + r*i**3 + l*i + o and give r. 2 Rearrange -42*w**3 - 34*w**3 + 7139 + 2*w**2 + 113*w**3 - 35*w**3 to the form g*w**2 + n + o*w + z*w**3 and give n. 7139 Rearrange r**2 - r**2 + r**2 + (-6*r - 4*r - 2*r)*(-2*r + 2 - 2) - 535*r + 535*r - 264*r**2 to the form o*r + j + p*r**2 and give p. -239 Express (-1581*o**2 + 3689*o**2 - 1309*o**2)*(1 + 2*o - 1)*(4 + 0 - 3) as i*o**2 + b*o + j*o**3 + n and give i. 0 Express 491*j + 3*j**2 - 81*j - 393*j + 1 + 4 as k*j**2 + t*j + u and give u. 5 Express 2 - 3*s**4 - 4*s + 9*s**2 - 3 + 8*s**2 - 13*s**2 - 5*s**2 - 30*s**3 as z*s + q + t*s**2 + u*s**4 + a*s**3 and give u. -3 Rearrange -2416*k**2 - 2670*k**2 + 4242*k**2 - 1 + 2*k to the form g*k**2 + f*k + a and give f. 2 Rearrange -53132497*d**3 + 5*d**4 + 53132499*d**3 - 4*d**2 - d + 0*d to the form g*d**4 + m*d**3 + u*d**2 + x*d + s and give m. 2 Express 163 - 20*s**2 + 34*s**3 + 137 - 305 - 17*s**2 as w + a*s + d*s**3 + k*s**2 and give k. -37 Express 0*v**2 + 0*v**2 - 3*v**3 + (0*v**2 - v**2 - v**2)*(-1 + 1 - v) + 155363*v**2 - 155363*v**2 - 300*v**3 in the form k*v**3 + z*v**2 + p + b*v and give k. -301 Express -204*r**2 - 2*r**3 + 1 + 2*r + 3*r**3 + 205*r**2 as f + q*r**2 + t*r + n*r**3 and give n. 1 Express 0*d**3 - 2*d + 770*d**2 - 692*d**2 - d**3 + 2*d**3 - 4*d**3 as w + m*d**3 + q*d + r*d**2 and give q. -2 Express -26 + 3*n + 3*n**4 - 4*n - 9*n**3 - n**2 + 25 - 2*n**3 in the form v*n**3 + c*n**4 + p + o*n**2 + a*n and give a. -1 Rearrange 60 + 2*h**3 - 118 - 1586*h - 4722*h + 60 - 2013*h to the form b*h + f*h**3 + s*h**2 + i and give i. 2 Rearrange 728 - 234*q - 364 - 1683*q - 360 to the form j*q + p and give j. -1917 Rearrange -h**2 + 16213*h**3 - 8048*h**3 - h - 8031*h**3 to the form y*h + j*h**3 + w*h**2 + t and give w. -1 Rearrange (-9*j + j - 6*j)*(-8278 - 838*j + 4140 + 4138) to f*j + y + d*j**2 and give y. 0 Rearrange -85*r - 4 + 580*r**3 - 578*r**3 - 22*r + 3 - r**2 to the form z*r + d*r**3 + g*r**2 + b and give d. 2 Express (30 - 12 - 14 + 29)*(-z + z**2 + z) + 13160 - 13160 - 2*z - 735*z**2 in the form v + s*z + g*z**2 and give g. -702 Express 813*p**2 - 52*p**2 + 201*p**2 + 3*p + 240*p**2 in the form j*p**2 + o*p + x and give j. 1202 Express 2*x**3 + 6*x**3 + 303*x**2 - 152*x**2 + x**4 - 152*x**2 - 1314 - 11*x**3 as r*x + u*x**3 + k*x**4 + m + a*x**2 and give u. -3 Express (2*s + 2*s**3 - 2*s)*(-60*s - 19*s + 13*s) + (-5*s**2 + s**2 + 2*s**2)*(-2 - 5*s**2 + 2) as f*s**4 + v*s**3 + b*s**2 + h*s + p and give f. -122 Express (-h + 0 + 0)*(-75 + 1936 + 5*h - 276)*(-1 + 2 + 1)*(-4 - h + 4) in the form w + v*h**3 + t*h + s*h**2 and give s. 3170 Rearrange -9205 + 9204 + 1175*z**2 - 2*z - 35*z**2 to the form x*z**2 + u + q*z and give q. -2 Rearrange -3*c - 2*c**3 + 7689 + 2*c**2 - 4*c - 7693 + (-3*c**2 + 4*c**2 + 3*c**2)*(5 - 5 - 5*c) to n + t*c + s*c**3 + j*c**2 and give s. -22 Express 5*k**2 + 4848*k**3 - 2408*k**3 + k - 2446*k**3 as g*k**3 + n*k + w*k**2 + h and give w. 5 Express (0 + 0 - c**2)*(13*c + 21*c + 4*c)*((-3 + 2 - 1)*(0*c + 2*c - 4*c) + c - 191*c + 8*c) in the form x*c + u*c**4 + j*c**3 + h + p*c**2 and give u. 6764 Rearrange 1675*u**3 - 109 + 1669*u**3 + u**2 + 1671*u**3 - 3*u - 5017*u**3 to r*u + x + p*u**2 + j*u**3 and give j. -2 Rearrange (-x - x + 3*x)*(-3 - 3 + 4) - 6*x + 3*x + x + 134362*x + 125 - 38551*x + 130 - 255 to m*x + t and give t. 0 Rearrange (-5 + 4 - 1)*(-18857*x - 27779*x - 1 + 1196*x + 2364*x + (-3 + 2 + 3)*(x + 0 + 0)) to p + h*x and give h. 86148 Express (-55*y + 440 - 423 - 42*y)*(-6 + 3 + 1) in the form d + g*y and give d. -34 Rearrange -15 - 146*c - 157*c + 290*c + (7 + 0 - 2)*(3*c - 3*c - 2*c) to p + r*c and give r. -23 Express 660*u + 71*u - 5210 + 5218 + 3*u**2 - 17*u - 2*u**2 in the form y*u**2 + l + v*u and give y. 1 Express (7946*b + 8441*b - 2 - 15616*b)*(8*b - 8*b + 3*b**2) as y + s*b + z*b**3 + l*b**2 and give y. 0 Rearrange -53*j**3 + 1820*j - 1758*j + j**4 - 169 + 168 + 2*j**2 to the form x*j**3 + l*j**4 + a*j**2 + q + t*j and give l. 1 Rearrange (190*m - 247*m - 44 + 94*m)*(-4 + 2 + 4) to k + b*m and give b. 74 Rearrange (0 - 3 + 1 + 469 + 209 + 1359 + 6 - 3 - 4 + (2 + 2 - 2)*(2 - 5 + 2))*((0 + 5 - 3)*(-5*f + 3*f + 4*f) + 1 - 1 - f - 3 + 3 + 3*f) to w*f + a and give w. 12192 Express 5*q + 23 + 3*q - q**2 + 3*q**3 - 4*q**2 - 3*q - 2*q in the form d*q + o*q**2 + c + j*q**3 and give d. 3 Rearrange 25 + 127*s**4 + 2*s - s**3 - 27 + 1 + s**2 to the form j*s**3 + i*s + x*s**2 + f*s**4 + d and give f. 127 Rearrange (-4 + 37 + 22)*(70 + 4*q - 70) - 2*q - 4*q + q + (2 - 5 + 5)*(q - 2 + 2) to the form x*q + c and give x. 217 Rearrange (20*o**2 - 40*o**2 - 11*o**2)*(-134 + 284 - 150 + 932*o**2) to the form y*o + a*o**4 + x + l*o**3 + q*o**2 and give a. -28892 Rearrange (2 - 2 + 2*m)*(96*m**2 + 459*m**3 - 13647*m - 94*m**2 + 13644*m - 1) to z*m**2 + q + a*m**4 + v*m**3 + n*m and give z. -6 Express (-13 + 135 - 13)*(0*x + x + 0*x)*(4 + 1 + 0) in the form a + v*x and give v. 545 Express -h - 15*h**4 - 5 - 19*h**4 + 37*h**4 + h**4 + 4*h**3 - 4*h**3 + (2*h**4 - 5*h**4 - 2*h**4)*(1 - 6 + 2) as y*h**2 + u*h**4 + n*h**3 + f*h + w and give u. 19 Rearrange 18305*x + 21947*x - 154 + 798*x + 154 to u + r*x and give r. 41050 Express (95*c + 0 - 2 - 96*c)*(81*c + 371*c - 36*c) as y*c**2 + n + x*c and give y. -416 Express -269 + 59 + 64 + 68 + 65 - 3*q - 19*q**2 as c + j*q + w*q**2 and give j. -3 Rearrange -897*v**2 + 5*v - 961870 + 961870 to the form p*v + t + q*v**2 and give t. 0 Rearrange (6*o**2 - 5*o**2 + 0*o**2 + (-5 + 5 - o**2)*(-2 + 0 + 0))*(96 + 60 - 57 + 222) to y*o + d*o**2 + r and give d. 963 Rearrange -19*i**3 - 33*i + 51*i - 30*i + (-3*i**3 + 7*i**3 + 0*i**3)*(0 - 2 + 0) + 4*i**3 - 4*i**3 + i**3 to the form b*i**3 + y + s*i + g*i**2 and give s. -12 Rearrange -1832 + 78*a + 914 + 904 to the form h*a + t and give t. -14 Rearrange -67 - 12 - 5*v + 1 - 211 to r*v + h and give r. -5 Express -2*g**3 - 11*g**4 + g**4 + 4*g**2 + g**2 + 7 - 3 - 6*g**4 as y*g**3 + h*g**4 + o + k*g + i*g**2 and give y. -2 Rearrange -5*r**2 + 2*r**2 + 0*r**2 + (4 - 2*r - 4 + (-33*r + 17*r - 12*r)*(-2 + 11 - 2))*(-15 + 22 - 2*r - 12) to the form m*r**2 + j + w*r and give m. 393 Express (-10*z - 3*z**2 - 1 + 10*z)*(z - 4*z + 2*z + (-2 + 0 - 2)*(56*z - 57 + 57) + 4 - 4 - 5*z) as g*z + p*z**3 + a + w*z**2 and give g. 230 Express (2*h**3 - 9*h - 95*h**2 - 87*h**2 + 185*h**2)*(2*h + 2 - 3 - 1) in the form v*h**4 + d*h + i*h**2 + l*h**3 + o and give l. 2 Rearrange -43*q - 136*q**3 + 0*q**2 + 133*q**3 + 4*q**4 + q**2 + 18*q to p*q**3 + k*q
{ "pile_set_name": "DM Mathematics" }
ivided by 4? 2 Let p(v) = -v - 1. Calculate the remainder when 7 is divided by p(-3). 1 What is the remainder when 85 is divided by 212/10 - (-20)/25? 19 Let d(k) = -k**3 - 5*k**2 - k + 2. Let p be d(-5). Suppose 0 = 2*z - 3 - 3. Suppose z*t + 64 = p*t. What is the remainder when t is divided by 9? 7 Let i = 18 - 6. What is the remainder when ((-45)/12)/((-4)/48) is divided by i? 9 Suppose -4 = 4*n - 0*n. Let b be (0/3)/(2 + n). Suppose -2*v + 3*v - 11 = b. Calculate the remainder when 31 is divided by v. 9 Suppose 3*t + 20 = 2*h, -5*t = -4*h - 2*t + 46. Calculate the remainder when 6*(-8)/12 + 43 + -1 is divided by h. 12 Suppose 4*t - 2*k + 7 = -3*k, k + 1 = 2*t. Let s = t - -14. What is the remainder when 48 is divided by s? 9 Let m(x) = 12*x - 7. Suppose v - 12 = -5. Let j be m(v). Suppose j = 5*f + 7. Calculate the remainder when f is divided by 8. 6 Let x be 0/(0 - (-2 + 0)). Suppose x = -6*c + c + 125. Suppose -4*g = -23 - c. Calculate the remainder when 34 is divided by g. 10 Let a = -7 - -7. Suppose a*v - v = -4. Calculate the remainder when 10 is divided by v. 2 Calculate the remainder when 96 is divided by (-1443)/(-65) - (-1)/(-5). 8 Suppose -t - 3*t = -120. Calculate the remainder when 174*(2*4/(-16))/(-1) is divided by t. 27 Calculate the remainder when 25 is divided by (-56)/98 - 53/(-7). 4 Let g = 98 - 46. What is the remainder when 206 is divided by g? 50 What is the remainder when (-3)/(3 - 8/2) is divided by 1? 0 Let a be 6*(6/4)/3. Let o = a + -1. What is the remainder when 5 is divided by o? 1 Suppose 2*d + 2*h + 8 = 0, 0 = -5*d - 3*h - 7 - 15. Let k be (-14)/d + 1/5. Suppose -3*b + 12 = -k. What is the remainder when 9 is divided by b? 4 Let z(d) be the third derivative of d**4/12 - 5*d**3/6 - 2*d**2. What is the remainder when 18 is divided by z(6)? 4 Calculate the remainder when (3/(-4))/(-3 - (-426)/144) is divided by 5. 3 Let t(j) = -9*j + 1. Let c(s) = -26*s + 2. Let h(l) = 4*c(l) - 11*t(l). Calculate the remainder when h(-5) is divided by 8. 6 Let d = 113 + -51. What is the remainder when d is divided by 22? 18 Let n = -5 - -26. Calculate the remainder when 61 is divided by n. 19 Suppose -2 = 5*v - 87. Suppose 0 = 3*u - 37 - v. Calculate the remainder when u is divided by 10. 8 What is the remainder when 53 is divided by (-41)/(-3) - (-1)/3? 11 What is the remainder when 150 is divided by (1/1)/((-5)/(-190))? 36 Suppose 13 = 2*u + 5. Let y = -40 + 53. Calculate the remainder when y is divided by u. 1 Suppose -4*y = -2*f + 12, -5*y = -15 - 10. Suppose 2*t - 5*c - f = 4*t, -2 = 5*t + 3*c. What is the remainder when 6 is divided by t? 0 Let a(z) = 2*z**3 + z**2 + 2*z - 3. Let l be (-6)/8 + 11/4. What is the remainder when a(l) is divided by 6? 3 Let w = 7 - 8. What is the remainder when 29 is divided by (-12)/w + -3 + 1? 9 Let d(x) = x**2 + 5*x + 4. Let c be d(-3). Let i(l) = -l**3. Calculate the remainder when 14 is divided by i(c). 6 Let h(j) = -j**3 - 8*j**2 - 5*j + 6. Let u be h(-7). Let d(f) = f**2 + 5*f - 9. Let l(i) = i + 17. Calculate the remainder when l(10) is divided by d(u). 12 Let x = 36 + -14. Let r(b) = 2*b**2 + 3*b**3 + 3*b**2 - 2*b**3 - 4. Calculate the remainder when x is divided by r(-4). 10 Suppose 5*r + x + 41 = r, -5*r + 2*x = 48. Let q = -7 - r. What is the remainder when 11 is divided by q? 2 Suppose 0 = 6*h + 46 - 64. Suppose 0*f - 4*f + 44 = 0. Calculate the remainder when f is divided by h. 2 Let v(q) be the second derivative of -q**4/12 + 11*q**3/6 + 9*q**2/2 + 4*q. Calculate the remainder when v(11) is divided by 6. 3 Let i be 15/6 - (-2)/4. Suppose 0 = i*v - 19 - 17. Calculate the remainder when 21 is divided by v. 9 Calculate the remainder when 12 is divided by (40/(-14))/((-4)/14) - 1. 3 Let f = -24 - -26. Calculate the remainder when f is divided by 2. 0 Suppose -4*q + 61 = -59. Calculate the remainder when q is divided by 16. 14 Let g(x) = 55*x**3 + 4*x**2 + 3*x + 2. Let s be g(-2). Calculate the remainder when (-7)/(-35) - s/10 is divided by 22. 21 Let i = 100 + -29. Calculate the remainder when i is divided by 36*(44/56 + (-14)/49). 17 Let c = 52 + -39. What is the remainder when 102 is divided by c? 11 Let b(j) be the first derivative of j**2/2 - 2*j - 3. Suppose 0 = 4*v - v - 15. What is the remainder when 7 is divided by b(v)? 1 Suppose s - 5*t - 22 = 0, 9 = -4*s - 4*t + 73. What is the remainder when 31 is divided by s? 14 Suppose 0 = 26*f - 32*f + 78. Calculate the remainder when f is divided by 5. 3 Suppose 28 = 3*g - 14. Suppose 2*r = -g + 42. What is the remainder when 40 is divided by r? 12 Suppose 3*u = 2 + 76. What is the remainder when -1*(-4)/(-4) + u is divided by 7? 4 Let p = -11 + 23. What is the remainder when p is divided by 5? 2 Let j = 10 - 0. Suppose 0 = 5*r + 20, 3*u + 0*r - 107 = -r. What is the remainder when u is divided by j? 7 Suppose -8*f = -5*f - 72. Calculate the remainder when f is divided by 9. 6 Let v = -40 - -56. Suppose 136 = 5*a + v. Calculate the remainder when a is divided by 13. 11 Let f = -2 + 2. Suppose 2*g + 0 - 42 = f. Calculate the remainder when g is divided by 11. 10 Let j = 34 - -1. What is the remainder when j is divided by 19? 16 Suppose 79 = 4*k - 2*r + 17, -3*k + 5*r + 50 = 0. Calculate the remainder when 59 is divided by k. 14 Suppose 0 = 2*u + 5 - 19. Let z = 8 - u. Let q(h) = 7*h + 1. Calculate the remainder when 22 is divided by q(z). 6 Let i(o) = -o**2 - 10*o - 3. Let m be i(-9). Let f be (-1)/(4/m)*-2. Suppose -3*j + 6*j = 0, -f*j - 8 = -2*k. Calculate the remainder when 15 is divided by k. 3 Let d be 10 - 2*(-9)/(-6). Let f(c) = -c**2 + 8*c + 2. Let s = 5 - 0. Calculate the remainder when f(d) is divided by s. 4 Suppose s + 3 = 2*a - 5, -3*s + 16 = 4*a. Calculate the remainder when 11 is divided by a. 3 Suppose 0 = -m - 0 + 18. Suppose 0*n = n - 3. Suppose -2*s = -n*s + 10. What is the remainder when m is divided by s? 8 Let t(q) = q**3 + 7*q**2 + 7*q + 9. Let w = 22 - 17. Suppose u + 11 = 3*z, -5*z - w*u + 0*u + 25 = 0. Calculate the remainder when z is divided by t(-6). 1 Let r be (-26)/2 + 4/(-2). Let u = r - -51. Calculate the remainder when u is divided by 19. 17 Suppose -5*p = -4*o + 279, -p = 2*o - 172 + 43. Let m = 12 - 5. What is the remainder when 1332/o - (-2)/(-11) is divided by m? 6 Suppose -4*d - 2 = -4*p + 2, -14 = -5*p + 2*d. Let x(y) = y**3 - 7*y**2 + 2*y - 4. What is the remainder when x(7) is divided by p? 2 Suppose -3*v + 10 + 14 = 0. Suppose 2*r - 140 = -5*i, 7*r - 140 = -5*i + 6*r. What is the remainder when i is divided by v? 4 Let z be 2/12 + 2890/(-60). Let l = z - -91. What is the remainder when l is divided by 23? 20 What is the remainder when 39 is divided by 6/(-21) + (-284)/(-14)? 19 Suppose -5*c = -c. Suppose -2*t - t = -5*a + 46, -4*t + 12 = c. Suppose 0 = 5*n - 3*b - 29, -n - 4*b - 4 = n. What is the remainder when a is divided by n? 3 Let g(x) = x**3 - 3*x**2 - 16*x + 13. What is the remainder when g(6) is divided by 3? 1 Calculate the remainder when ((-6)/(-3) - 0) + (-276)/(-2) is divided by 47. 46 Suppose -4*v + 3*f + 4 = v, -2*f = -v - 2. Suppose 5*n = -2*r - 2, 0 = -n + v*n - 2. Calculate the remainder when 4/r + 246/18 is divided by 7. 6 Suppose -8 = -2*m + 16. Let u = 0 - 0. Let a = u + m. What is the remainder when 23 is divided by a? 11 Suppose 2*j = 5*j. Calculate the remainder when 37 is divided by (-1 + 14)/(1 + j). 11 Let u = 135 + -50. Calculate the remainder when u is divided by 22. 19 What is the remainder when 72 is divided by (1 - -3) + 17 - 0? 9 Let d = -2 + 55. What is the remainder when d is divided by 18? 17 Let f be (-4)/(-2) + -1 + -4. What is the remainder when f*2/(-6)*26 is divided by 14? 12 Suppose 0 = -4*k - 4*y + 104, 50 - 18 = k + 4*y. What is the remainder when 45 is divided by k? 21 Suppose 0 = -7*b + 3*b + 268. What is the remainder when b is divided by 17? 16 Let a(k) = -k**2 + 11*k - 7. Calculate the remainder when a(5) is divided by 8. 7 Let d(x) = x + 4. Let c(s) = s**3 - 6*s**2 + 6*s + 2. Calculate the remainder when c(5) is divided by d(0). 3 Let g = 16 + -10. Let n = g - -10. What is the remainder when 46 is divided by n? 14 Suppose -3*o + 4*y = -40, -2*o - 3*o + 4*y = -64. What is the remainder when 31 is divided by o? 7 Let v be 200/(-9) + 4/18. L
{ "pile_set_name": "DM Mathematics" }
of p and k. 5 Suppose 2*f = -4*j + 4, 2*f + j - 16 = 3*j. Suppose 2 = 3*x - 1. Let n be ((-10)/(-20))/(x/f). What is the greatest common divisor of n and 12? 3 Let y = -1356 - -1476. Let q(c) = c**3 + 5*c**2 - c + 5. Let j be q(-5). Calculate the highest common factor of y and j. 10 Let r = -142 - -65. Let w = r + 83. What is the greatest common divisor of w and 6? 6 Suppose -4*d + c - 6*c + 11 = 0, -4*c - 20 = 0. Let o = 15 - d. Suppose -405 = -3*h + k - o*k, -3*k = 0. What is the greatest common divisor of h and 15? 15 Let l = -5 + 68. Suppose -p + 195 = 4*p + 3*m, -220 = -5*p + 2*m. What is the greatest common divisor of p and l? 21 Let l be -13 + 10 + 8 + (1 - -2). What is the greatest common factor of 1792 and l? 8 Let z be (168/(-6))/(-3 - -1). Let r be 1/4 - 7/(-4). Suppose 2*w - 112 = -r*w. Calculate the greatest common divisor of z and w. 14 Suppose 2*d = -2*d - 2*b + 22, 0 = -d + 4*b - 17. Suppose 0 = 2*u + d*u - 45. Let o be (-29)/(-3) - (-10)/(-15). Calculate the highest common factor of o and u. 9 Let l = 83 + -55. Suppose p + 8*f = 4*f + l, -4*p - 4*f + 88 = 0. Calculate the highest common divisor of p and 220. 20 Let r(t) = -t**2 + 8*t + 9. Let g be r(9). Let p be 1 - (0 + (-1 - g)). Suppose -20 = -p*f + 4. Calculate the greatest common factor of f and 12. 12 Suppose 0 = 2*r + 8, -2*h + 12 = -r - 20. Let o be 2/9 + (-12)/54. Suppose c - 3*q = 117, -2*c - q + 255 = -o*c. What is the highest common factor of h and c? 14 Let u = 2747 - 2729. Let s be -16*(-1)/(-2)*-9. What is the greatest common factor of s and u? 18 Let p = -296 + 366. Calculate the greatest common factor of p and 14. 14 Suppose 4*c - 3*o = 2*c + 15, -47 = -5*c - 2*o. What is the highest common factor of c and 1? 1 Suppose -2*v = -33 - 27. Let j = -11 + v. What is the highest common divisor of 38 and j? 19 Let m(n) = -n**3 - 10*n**2 - 2*n - 6. Let x be m(-10). Let f be x/(-10)*1*(-9 - -4). What is the highest common factor of f and 56? 7 Let w(s) = s**3 + 17*s**2 + 15*s - 11. Let l be w(-16). Let v be 3/(l*((-1)/(-5) - 0)). Calculate the highest common factor of 4 and v. 1 Let h(i) be the third derivative of -i**6/120 - i**5/15 + i**4/24 - i**3/2 + 6*i**2. Let f be h(-5). What is the highest common factor of 17 and f? 17 Suppose 6*q + 28 = 184. Let x(r) = -r**2 - 6*r - 2. Let s be x(-5). Suppose s*w - w = 26. Calculate the highest common divisor of q and w. 13 Suppose -910 - 154 = -19*d. What is the highest common divisor of 7 and d? 7 Let p(a) = 4*a + 19. Let r be p(8). Calculate the highest common factor of 3 and r. 3 Suppose -4*u + 38 = -142. Let b = u - 29. What is the greatest common divisor of 4 and b? 4 Let y = 1052 - 972. Let k be 258/8 - 6/24. What is the highest common divisor of y and k? 16 Suppose -w + 63 = 5*b, 0 = 5*b + w + 3*w - 72. Suppose m = -4*k - 54, 2*m + 16 + 1 = -k. Let o be 4/26 - 1714/k. What is the greatest common divisor of b and o? 12 Let z(j) = j**3 + 19*j**2 + 18*j + 56. Let i be z(-12). Calculate the greatest common divisor of i and 106. 106 Let g(h) = -77*h - 1400. Let d be g(-20). What is the greatest common divisor of 640 and d? 20 Let j = 78 + -73. What is the highest common factor of 4 and j? 1 Suppose 19*x - 6229 = 5475. Let v be ((-270)/35)/((-12)/x). What is the greatest common divisor of v and 36? 36 Let s be 65 + 1/3*0/5. Calculate the greatest common divisor of 637 and s. 13 Suppose 22 + 8 = 2*l. Let p = 18 - l. Suppose 132 = n - 0*b + p*b, 0 = -5*b + 25. Calculate the highest common divisor of 13 and n. 13 Let s = -22 - -25. Let r be 46/3 + 2/s. Suppose -r = -p - 4. Calculate the greatest common divisor of 12 and p. 12 Let v(w) = -w**2 - 19*w - 4. Let t be v(-15). Suppose 0 = -5*m - j + 70, 5*m - m - 3*j - t = 0. Calculate the greatest common divisor of m and 98. 14 Let a be 3/(-36) - 40121/(-636). What is the greatest common divisor of a and 49? 7 Suppose -13*o = -9*o - 612. Calculate the greatest common divisor of 9 and o. 9 Let b(w) = 2*w - 2. Let r be b(6). Let h(s) = -10*s**2 - s**3 + 2*s**3 + 49 - 38. Let l be h(r). What is the highest common divisor of 11 and l? 11 Let z be 477/6*(-2)/(-3). Suppose -3*q - 2*q + 61 = 3*r, -r = -5*q + z. Let s be (-3146)/39*(-6)/4. Calculate the highest common divisor of q and s. 11 Suppose s + 13*s - 182 = 0. Suppose -l - 1 = -s. Suppose -5*f = -22 - 8. What is the greatest common divisor of f and l? 6 Let o(k) = 61*k + 616. Let z be o(-10). Calculate the highest common divisor of 48 and z. 6 Suppose 2*a = 3*o + 26, 54 = -4*o - 3*a - 9. Let i be 10/(1*(-4)/o). What is the greatest common divisor of 120 and i? 30 Let j be (-2)/(-3) - ((-240)/9)/8. What is the highest common factor of j and 200? 4 Suppose -3*a - 24 = -3*g, 5*g + 0*g - 72 = -3*a. Calculate the greatest common divisor of 8 and g. 4 Let x(y) = y**2 - 4*y + 5. Let q be x(6). What is the greatest common factor of q and 4? 1 Let m = 14 - 122. Let f = -63 - m. What is the highest common divisor of 30 and f? 15 Suppose 2*d - 78 = -4*t, 2*d + 0*t + t = 66. Let a(h) = h**2 - 2*h + 24. Let l be a(-15). Calculate the highest common factor of l and d. 31 Suppose 4*d - 9 = -v - 3, -4*v = 4*d. Let p be (1 - 0)*(d - -119). Let h = 184 - p. What is the highest common divisor of 42 and h? 21 Suppose 36*v - 925 = -v. Calculate the greatest common divisor of 185 and v. 5 Suppose 147 = 3*b + b - 3*g, -g + 160 = 5*b. Suppose -d = -2*q + b, 2*d = -2*q - q + 39. What is the highest common divisor of q and 6? 3 Suppose 3*f = 8*f + 5*s + 205, s = -2*f - 79. Let h = f - -116. What is the greatest common factor of 52 and h? 26 Let a be (-6 - -3 - -1)*95/(-2). Let p(t) = t**2 - t + 19. Let f be p(0). Calculate the greatest common divisor of f and a. 19 Suppose 748 - 916 = -14*c. Suppose 3*j + 3*b = 192, -j = -4*b - 18 - 26. What is the highest common divisor of c and j? 12 Let z = 927 + -577. Calculate the greatest common factor of z and 14. 14 Let b be ((-171)/95)/(2/(-100)). Calculate the highest common divisor of 150 and b. 30 Let y = 0 - 3. Let x be y/(-12) - 2/8. Suppose x = -2*n - 3*n + 10. What is the greatest common factor of 8 and n? 2 Suppose 0 = 9*k - 8*k + 4*z - 5, 0 = -3*k - 5*z + 43. What is the highest common divisor of 15 and k? 3 Let p = 23 - 16. Let z(m) = 2*m**2 + 3. Suppose 0 = 20*v - 19*v + 4. Let c be z(v). What is the greatest common factor of c and p? 7 Let y = 115 - 55. What is the greatest common factor of y and 24? 12 Suppose 41 - 35 = a - u, 4*a - 3*u = 28. What is the highest common factor of a and 505? 5 Suppose -2*f - 7 = -x + 3*f, f - 7 = -4*x. Suppose -3*b = -2*u + 4, 0 = x*u - 0*u - 10. Let l be b/3*(-7 + 106). What is the greatest common factor of 6 and l? 6 Let k be ((-14)/3 - -7)/(1/12). What is the highest common factor of 21 and k? 7 Let k be 6/1 - (-9 - -2 - -8). Suppose -4*m + k*m - 88 = 0. Calculate the greatest common divisor of m and 11. 11 Let b(u) = u**2 - 2*u - 11. Let h(x) = -3*x**2 + 7*x + 32. Let r(g) = 7*b(g) + 2*h(g). Let f be r(-7). What is the greatest common divisor of 9 and f? 9 Let r = 30 + -21. Suppose -y - w + r = w, -6 = -y + w. Let b = -6 + y. What is the greatest common factor of 3 and b? 1 Let b be (-245)/(-105)*108/42. What is the highest common factor of b and 870? 6 Suppose -u - u + 13 = 3*v, 4*v - 3*u = 40. Suppose 0 = 6*p - 90. Let z = v + p. What is the highest common factor of z and 22? 22 Let p(w) = w**2 + 5. Let g be p(0). Suppose 0 = -g*v - 3*a + 42, -3 = -2*v + 2*a + 1. Let h be 4/(-6) - (-11)/3. Calculate the highest common factor of h and v. 3 Let v(i) = i**3 - 6*i**2 - 5*i + 2. Let y be v(7). Suppose -2*g + 47 + 7 = 2*s, -5*g = -5*s - 105. What is the highest common divisor of g and y? 8 Let k(u) = -8 - 4*u + 8 + 8*u**2. Let l = -13 - -16. Let t be k(l). Calculate the greatest common factor of t and 30. 30 Let q = 43 + -37. Let t be (6/2)/(36/48). Suppose -4*u + t = -44. What is the highest common factor of u and q? 6 Let c(n) = -2*n**3 + 2*n**2 - 3*n + 5. Let x be c(2). Let f be (-6)/(-2) + x + 14. Calculate the highest common divisor of f and 32. 8 Suppose -3*z + 4*z = 81. Let s = z + 9. Calculate the greatest common divisor of 10 and s. 10 Let d(p) = -2*p**3 - 2*p**2 - 2*p - 2. Let u be d(-2). Let h(i) = i**2 + 6*i + 2*i - u*i - 3. Let n be h(-3). What is the hig
{ "pile_set_name": "DM Mathematics" }
r**2 in the form h*r**2 + q*r + i and give q. -293 Express 794*o**2 + 879*o**2 - 93*o**2 + 116*o**2 - 116*o**2 + 4*o in the form w*o + s*o**2 + v and give w. 4 Express -153*o**2 - 2 + 2 - 2*o + 132*o**2 + 2*o**4 + 0 + 5*o**3 as p*o**3 + s + c*o**2 + d*o + h*o**4 and give h. 2 Express -7986 + 47*p + 4005 - 3*p**3 + p**4 + 3982 + p**2 in the form n*p**4 + w*p**3 + y*p**2 + i*p + h and give i. 47 Express (-13*f**2 + 8 - 8)*(1 - 1 - 2)*(77 + 6 + 24) in the form d*f + q*f**2 + w and give q. 2782 Rearrange (-s + 3*s - s)*(-s - 4303 + 623 + 2342) to the form m*s**2 + i + c*s and give m. -1 Rearrange -j - 579*j**3 + 8*j**4 + 9*j**2 + 195*j**3 - 13 - 5*j**2 + 196*j**3 + 189*j**3 to the form r*j**3 + t*j + z + o*j**4 + l*j**2 and give t. -1 Express 13*a**4 + 142*a**3 + 6 - 11*a**4 + a + 3 - 130*a**3 in the form u*a + z*a**2 + h*a**4 + l*a**3 + c and give h. 2 Express (2574*r + 2283*r - 3430*r - 9110*r - 6266*r - 7510*r)*(-14*r - r**2 + 14*r) in the form u*r + h*r**3 + x*r**2 + c and give h. 21459 Express 1 - 2*d - 1 + (6*d - 3*d - d)*(4 - 1 - 5) + 3*d - 5*d + 5*d + 8*d + 9 - 9 + 26 - 34*d - 35*d + 70*d - 1 + d + 1 as w + m*d and give w. 26 Express (3*l - 3*l - 7*l)*(94 - 62 + 54 + 66) in the form z + n*l and give n. -1064 Express (-2 + 3 + 0)*(2553*c**3 + 3689*c**3 + 2045*c**3) in the form w*c**3 + i*c**2 + f + m*c and give w. 8287 Express -35892 + 4623*p + 35892 in the form c*p + h and give c. 4623 Express -11062 - 11052 - 372*p + 22099 as c*p + q and give q. -15 Rearrange p + 17120 + p**3 - 17118 + 9*p**2 - 11*p to the form h*p + j*p**3 + u*p**2 + m and give u. 9 Express (2 + 1 + 2)*(45*i**2 + 26*i**2 - 20*i**2)*(1 - 13 + 3) as t*i + h*i**2 + a and give h. -2295 Rearrange (-3164*n**3 + 36999*n**3 + 15124*n**3 + (-5*n + 0*n + 4*n)*(2*n**2 + n**2 - 5*n**2))*(0*n + n + 2*n) to c*n + t + k*n**2 + u*n**4 + w*n**3 and give u. 146883 Rearrange 0 + 0 - 216*p - 2 + 12*p - 4 to h*p + j and give j. -6 Rearrange b**3 + b**3 - 21*b - 10*b**2 + 17*b + 6 + 11*b**2 to f*b**3 + o*b**2 + r*b + j and give j. 6 Express 30459334 - 30459334 - 14156*a as m*a + y and give m. -14156 Express -299*o + 100*o + 784 + 99*o + 98*o in the form a + p*o and give a. 784 Express -128*o**3 + o**4 + 0*o**4 + 1 - 33*o**2 + 2*o - 22*o**2 - 3 + 129*o**3 as h + f*o**3 + a*o**4 + v*o**2 + j*o and give a. 1 Express 362*t**2 - 1 + 10 - 14 + (3*t - t - 4*t)*(2*t + 0*t - t) as l*t**2 + s*t + r and give l. 360 Express -11154*r - 328*r - 5363*r - 2 + 483*r + 1010*r as w + k*r and give w. -2 Express 2*n**2 - 2 + 20*n**3 - 1809*n - 4*n**4 + 3608*n - 1797*n in the form u*n**2 + t*n**4 + s + q*n + c*n**3 and give c. 20 Express 4*k + 2 - 3 + 3 + (-55 + 14 + 16)*(-25 + 25 - 16*k) as p*k + v and give p. 404 Express (-11*s + 9*s + 12*s - 2*s + 0*s + 4*s + (-s - 2 + 2)*(1 + 0 + 0) - 3*s + 4*s + 0*s)*(34 - 34 - 15*s) as b + a*s**2 + d*s and give a. -180 Rearrange (-7*i - 82*i + 150*i + (0*i + 2*i - 4*i)*(1 - 2 + 0))*(3 + 3 - 5) + 0*i - i - i to the form h*i + g and give h. 61 Rearrange (-11*k + 23*k**3 + 11*k)*(7 + k - 7) + 3*k**4 + 0*k**4 + 0*k**4 to u*k**3 + s + z*k + x*k**4 + v*k**2 and give x. 26 Express (4*v**2 - 8*v**2 + v**2)*(2*v - 6*v + 2*v) - 22*v**2 - 21*v**2 + v**3 + 24*v - 23*v in the form w*v**3 + c*v**2 + l*v + n and give w. 7 Express 10*f**4 + 3547*f**2 - 1 - 11*f**4 - 2*f**3 - 3233*f**2 + 2*f**3 as u + s*f + y*f**2 + g*f**3 + p*f**4 and give u. -1 Rearrange -48*p - 114*p - 53*p + 46*p + 7*p**2 - 38*p to o*p**2 + i + v*p and give v. -207 Express -120*l**2 + 27159 - 808*l**2 - 78*l**2 - 27159 in the form b + w*l + z*l**2 and give b. 0 Express (79*p - p**2 - 2*p**2 + 1035*p**3 - 1033*p**3)*(-4 + 2 + 0)*(0*p - 5*p + 11*p) in the form k*p**4 + u + w*p + x*p**2 + z*p**3 and give z. 36 Express -8*x**4 + 6 + 0*x**4 - 5*x**3 - 18 + x + 2*x**4 - 4*x**2 + 6*x**2 as u*x**3 + v*x**4 + k*x + m*x**2 + s and give u. -5 Rearrange -u - 2*u**3 + 159 + 143 + 151 - 2*u**2 + u**4 to i*u + p*u**2 + o*u**4 + l + j*u**3 and give p. -2 Express (-149 + 27*p + 72 + 48 + 94)*(-3 + 1 + 1) as y + q*p and give y. -65 Rearrange (k - 4*k + k)*(4*k**2 - 2*k**2 - 3*k**2) - 502037*k**3 + 1004058*k**3 - 502005*k**3 + 65*k**2 to t*k + a*k**3 + h*k**2 + o and give a. 18 Express -8*y**2 - 4*y**3 + 2*y - 20117 + 20116 + 2*y**3 in the form v*y**2 + q*y + w + z*y**3 and give q. 2 Express (-74*s - 58*s + 53*s + (2 + 8*s - 2)*(0 + 1 + 0))*(-9*s - 12*s + 4*s) in the form i + r*s + w*s**2 and give w. 1207 Express -3*h**2 - 24*h + 67*h - 18*h - 19*h - h**4 - 11 - 23*h in the form m*h**4 + z*h + f*h**2 + p*h**3 + a and give a. -11 Express (-7*f + 5*f - 1 + 3 + (4 - 3 + 1)*(23922 - 108*f - 23922))*(-9 + f + 9) as k*f + q + a*f**2 and give a. -218 Express 139*m + 211*m + 272*m + (m - 6*m + 3*m)*(1 - 10 + 1) + m - 2*m + 4*m in the form s*m + k and give s. 641 Rearrange 17*j - 13 - 67*j - 6*j**2 + 0*j**2 + 14 + 3*j**2 to the form a*j + y*j**2 + s and give a. -50 Express 1 - 33989*k - 12*k**3 + 32681*k + 2 + 11*k**3 in the form a + j*k**3 + d*k**2 + o*k and give a. 3 Express (2 - 3 + 0)*(p - p - p**2) - 7855 + 7855 + 1364*p**2 + (-1 + 1 + 2*p)*(p + p + p) in the form z + f*p + t*p**2 and give z. 0 Express b - 1 + 7 + 0 + 27 + 7*b**2 + 5*b**2 as r*b**2 + w*b + p and give r. 12 Rearrange -149 - 148 - 48*z**2 - 4251*z**3 + 299 + 5*z**4 - 3*z**4 + 47*z**2 to j*z**4 + v*z + x*z**2 + k*z**3 + l and give k. -4251 Rearrange -4002*s**3 + 2*s**2 - 2 + 39*s - 41*s + 3283*s**3 to the form i*s**2 + r*s + z*s**3 + d and give r. -2 Rearrange (-s**2 + 5*s**2 - 3*s**2)*(896*s**2 + 5770*s**2 + 1549*s**2) to the form x + r*s**2 + c*s**4 + f*s + q*s**3 and give c. 8215 Rearrange 8618*a + 909*a + 2683*a + 11321*a - 640*a to h + v*a and give v. 22891 Express -18*g**2 + 57*g + 23*g**2 - 1 + 65*g - 29*g + 146*g as n*g + s*g**2 + u and give u. -1 Express (-270 + 2239*w - 207*w + 270)*(-w + 4*w - 5*w) as v + c*w + a*w**2 and give a. -4064 Rearrange (19 - 19 + 5*o**2)*(-108 - 64 + 20)*(o**2 + 23 + 0 + 3) to the form h*o**2 + x*o**4 + a + p*o**3 + n*o and give h. -19760 Rearrange (-83*c + 11*c - 5*c + (-2*c - 1 + 1)*(-1 + 3 - 1))*(4*c - 4*c - c + (-2 - 2 + 2)*(10*c + c + 6*c)) to t*c**2 + o + h*c and give t. 2765 Express -1 - 6*s + 91*s**2 - 185*s**2 + 92*s**2 + 3 in the form p*s + k*s**2 + v and give p. -6 Rearrange -o + 1 - 1 + (-15 - 44 + 3)*(-16*o - 15 + 15) to q*o + l and give q. 895 Express (-28 + 37 + 154)*(4 + 0 - 3)*(2 + 0 - 7)*(7 + 3 - 2*n**2 - 9)*(5 - 4 + 1) as d*n + s*n**2 + h and give h. -1630 Rearrange -16*x**3 + 11*x**3 - 1 - x**2 + 6*x**4 + 0*x**4 to the form p*x**2 + o*x**3 + r + u*x + c*x**4 and give p. -1 Rearrange (29*y**2 + 82*y**2 - 10*y**2)*(15*y - 4*y + 0*y) to the form f*y**3 + b*y**2 + h + u*y and give f. 1111 Rearrange -4777*v + 2 + 92*v**3 + 14339*v - 4781*v - 4784*v to the form g + w*v**3 + z*v**2 + b*v and give g. 2 Rearrange 0*p**3 + p**3 + 2*p**3 + (2*p + p + 0*p)*(3 - 4 + 4)*(-3*p + 4*p + 2*p)*(51 - 4*p - 51) to the form j*p**2 + f*p**3 + m*p + q and give q. 0 Rearrange -447*r**3 + 74 - 73 - r + 491*r**3 to the form x*r**2 + l + n*r**3 + d*r and give n. 44 Express -238*v - 353*v - 59*v + v - 4*v + v + (-4 + 1 - 1)*(4*v - v - v) - v + 6*v - 2*v as m + q*v and give q. -657 Express 51 + 14*o + 5*o - 647 + 15*o - 41*o in the form m*o + q and give m. -7 Express b**2 + b**3 - b**2 + (-1801*b + 4955*b - 2266*b)*(2*b**2 - b**2 + 0*b**2) in the form o*b**3 + v + y*b + s*b**2 and give y. 0 Express 226*c**4 - 655*c**4 + 35*c**3 + 239*c**4 + 226*c**4 + 2 as k*c**3 + i + p*c**4 + n*c + r*c**2 and give i. 2 Rearrange -7682 - 2485*b + 15366 - 7684 to v + o*b and give o. -2485 Express 4122437*h - 1 + 1 - 4094840*h as q + y*h and give y. 27597 Rearrange -47*q - 2*q**2 - 426*q - 181*q - 25*q + 61*q to h + y*q**2 + k*q and give k. -618 Rearrange -181*i**3 - 35*i**2 + 6*i + 181*i**3 + 2*i**4 - 2148 + 2147 to h*i + s + y*i**4 + f*i**2 + a*i**3 and give f. -35 Rearrange -409 - 2585 + 10*l**3 - l**3 - 4979 - 10*l**3 to the form z + t*l**3 + i*l**2 + c*l and give i. 0 Express 2*o - 4 + 4 + (-2 + 2 + 2)*(o + 1 - 1) + 1181*o - 555*o - 13*o + 1615*o + 141*o + 400*o as h*o + i and give h. 2773 Express -5*i + 2*i + 2*i + (-107 - 69 + 16)*(-3*i - 10*i - 8*i) as l*i + u and give u. 0 Rearrange -2 - 62396*g + 0*g**3 + 62419*g - g**2 - 5*g**3 - g**3 to v*g**3 + q*g**2
{ "pile_set_name": "DM Mathematics" }
, i: 1, f: 1}. Give prob of picking 4 u. 1/330 Calculate prob of picking 1 h, 1 w, and 1 l when three letters picked without replacement from wnlrlhlrfhlh. 3/55 What is prob of picking 1 p, 1 a, and 1 v when three letters picked without replacement from {v: 3, p: 3, a: 2}? 9/28 Three letters picked without replacement from {h: 3, e: 1, q: 1, l: 2, o: 1, u: 3}. Give prob of picking 1 u, 1 h, and 1 q. 3/55 What is prob of picking 1 b and 1 e when two letters picked without replacement from edrlddrbebdbbbbr? 1/10 What is prob of picking 1 y, 1 w, 1 o, and 1 c when four letters picked without replacement from {y: 2, w: 1, o: 1, c: 1}? 2/5 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {u: 2, k: 1, j: 2}. 2/5 Calculate prob of picking 2 d when two letters picked without replacement from ddd. 1 Two letters picked without replacement from {b: 3, o: 5, l: 10, p: 2}. What is prob of picking 1 l and 1 p? 2/19 Two letters picked without replacement from tctccvctccccvcc. What is prob of picking 2 c? 3/7 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from hbhbhddbbbbbdbdd. 1/3 Calculate prob of picking 1 k, 1 l, and 1 j when three letters picked without replacement from kksslsj. 2/35 Two letters picked without replacement from ssdyx. What is prob of picking 1 s and 1 d? 1/5 What is prob of picking 2 x and 1 b when three letters picked without replacement from {r: 4, b: 6, a: 3, x: 4}? 9/170 Four letters picked without replacement from {p: 4, z: 1, j: 6}. What is prob of picking 2 j and 2 p? 3/11 Two letters picked without replacement from {u: 5, o: 2, h: 12}. What is prob of picking 1 u and 1 h? 20/57 Four letters picked without replacement from llttzgdlglzghtztz. What is prob of picking 1 z, 1 t, and 2 l? 24/595 Three letters picked without replacement from opigojg. What is prob of picking 2 o and 1 i? 1/35 What is prob of picking 1 a, 1 f, and 1 w when three letters picked without replacement from {a: 3, w: 3, p: 3, u: 1, x: 2, f: 2}? 9/182 Two letters picked without replacement from ohomomoh. Give prob of picking 2 o. 3/14 Two letters picked without replacement from {r: 6, k: 6}. Give prob of picking 2 k. 5/22 Two letters picked without replacement from {a: 1, w: 2, i: 3, b: 1}. What is prob of picking 1 w and 1 i? 2/7 Four letters picked without replacement from iuijijijuiiuuizuu. Give prob of picking 3 u and 1 i. 1/17 Calculate prob of picking 1 b, 1 j, 1 v, and 1 n when four letters picked without replacement from {b: 2, v: 2, n: 5, j: 4}. 16/143 Calculate prob of picking 1 r and 1 b when two letters picked without replacement from rbrbbrbbbrbbbb. 40/91 What is prob of picking 1 r, 2 w, and 1 v when four letters picked without replacement from rrwurwguwruwv? 24/715 Three letters picked without replacement from {r: 2, d: 6, b: 3, q: 2, a: 1}. Give prob of picking 3 d. 5/91 Two letters picked without replacement from {k: 1, z: 11}. Give prob of picking 2 z. 5/6 Three letters picked without replacement from jfggj. Give prob of picking 1 j and 2 g. 1/5 What is prob of picking 3 p when three letters picked without replacement from {r: 2, z: 5, p: 3}? 1/120 Four letters picked without replacement from {c: 2, b: 5, j: 6}. What is prob of picking 1 j, 2 c, and 1 b? 6/143 Two letters picked without replacement from {j: 4, o: 4, y: 2, l: 2, s: 1, q: 2}. Give prob of picking 1 o and 1 q. 8/105 Two letters picked without replacement from {y: 1, h: 3, o: 2, u: 1, b: 7}. Give prob of picking 2 b. 3/13 What is prob of picking 2 h when two letters picked without replacement from lhlljjljljh? 1/55 Four letters picked without replacement from krrakkkkkakraarka. What is prob of picking 1 k, 1 r, and 2 a? 16/119 Three letters picked without replacement from {o: 2, y: 3}. What is prob of picking 3 y? 1/10 Four letters picked without replacement from nllwjfy. Give prob of picking 1 w, 1 n, and 2 l. 1/35 Three letters picked without replacement from jebbjeiijajijjibb. What is prob of picking 1 j and 2 e? 3/340 Three letters picked without replacement from {l: 4, z: 2, t: 1, x: 3, m: 2}. What is prob of picking 1 t and 2 z? 1/220 What is prob of picking 1 s and 1 n when two letters picked without replacement from {n: 2, a: 2, y: 4, b: 3, s: 2}? 2/39 What is prob of picking 1 r and 2 b when three letters picked without replacement from {k: 7, b: 2, i: 9, r: 1}? 1/969 Four letters picked without replacement from {w: 3, v: 4}. Give prob of picking 4 v. 1/35 Four letters picked without replacement from {b: 2, f: 2, n: 1}. Give prob of picking 2 b and 2 f. 1/5 Four letters picked without replacement from lnnnlvc. Give prob of picking 1 v, 1 n, and 2 l. 3/35 What is prob of picking 1 y and 1 x when two letters picked without replacement from yyyyvyyyxyvyvyyvvvv? 11/171 Two letters picked without replacement from kjknrjzr. Give prob of picking 2 k. 1/28 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from aqlnxnxnxnqn. 5/33 Two letters picked without replacement from oyow. What is prob of picking 1 o and 1 w? 1/3 What is prob of picking 3 u when three letters picked without replacement from fuuuuuuuuuuu? 3/4 Calculate prob of picking 3 l when three letters picked without replacement from {l: 10}. 1 Four letters picked without replacement from {j: 4, o: 10}. Give prob of picking 4 j. 1/1001 What is prob of picking 1 u and 1 m when two letters picked without replacement from urmuuruuupirxupum? 2/17 Three letters picked without replacement from gzgz. Give prob of picking 2 g and 1 z. 1/2 Two letters picked without replacement from uovoookvo. Give prob of picking 2 o. 5/18 What is prob of picking 2 n and 2 u when four letters picked without replacement from {n: 3, u: 11, h: 1}? 11/91 What is prob of picking 2 t, 1 b, and 1 g when four letters picked without replacement from tkgtttkttbktttkggdgk? 48/1615 Two letters picked without replacement from avciicvwiwaii. Give prob of picking 1 c and 1 a. 2/39 Three letters picked without replacement from {t: 1, a: 1, r: 1, k: 1, s: 3}. What is prob of picking 1 s, 1 r, and 1 a? 3/35 Calculate prob of picking 1 d and 2 t when three letters picked without replacement from {h: 1, m: 1, d: 4, t: 2}. 1/14 What is prob of picking 1 x and 2 t when three letters picked without replacement from tttxttxxetttpt? 27/91 What is prob of picking 1 j and 1 p when two letters picked without replacement from {p: 5, i: 1, g: 4, z: 1, w: 3, j: 4}? 20/153 Two letters picked without replacement from {n: 2, m: 3, j: 1, i: 3, y: 1, q: 5}. Give prob of picking 1 j and 1 m. 1/35 Calculate prob of picking 4 s when four letters picked without replacement from {p: 4, s: 6}. 1/14 Three letters picked without replacement from {o: 4, x: 2}. Give prob of picking 2 x and 1 o. 1/5 Four letters picked without replacement from {b: 2, f: 4, h: 1, t: 4, g: 6, x: 3}. What is prob of picking 1 b, 2 t, and 1 h? 4/1615 What is prob of picking 2 c and 1 k when three letters picked without replacement from {c: 4, f: 2, k: 2}? 3/14 Two letters picked without replacement from uihhuhthtvtvtvhuuut. What is prob of picking 2 h? 10/171 What is prob of picking 1 j, 1 t, and 1 r when three letters picked without replacement from {r: 1, t: 2, j: 1, o: 1}? 1/5 Calculate prob of picking 1 f, 1 g, and 2 z when four letters picked without replacement from {f: 1, g: 4, z: 5}. 4/21 Four letters picked without replacement from wwqqqwwwwwewqwwqqqw. What is prob of picking 1 w, 1 e, and 2 q? 77/1292 Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {l: 2, u: 9, d: 3, o: 1, v: 2}. 3/68 Four letters picked without replacement from {v: 4, l: 1, x: 1, p: 7, e: 2}. Give prob of picking 2 v, 1 p, and 1 e. 4/65 What is prob of picking 3 l when three letters picked without replacement from {l: 13, d: 3}? 143/280 Calculate prob of picking 1 z, 1 g, and 1 w when three letters picked without replacement from {g: 1, d: 1, j: 4, w: 1, z: 1}. 1/56 Two letters picked without replacement from {q: 3, v: 2, s: 7}. What is prob of picking 2 q? 1/22 Two letters picked without replacement from hqqqhqqvqqmqqhqhh. Give prob of picking 1 m and 1 h. 5/136 Calculate prob of picking 1
{ "pile_set_name": "DM Mathematics" }
= -x + 4*q + 11. Let a = 11 - x. Calculate the remainder when y(-79) is divided by a. 2 Let p(j) = j**3 - 52*j**2 + 494*j + 112. What is the remainder when p(40) is divided by 249? 174 Let w be 68/(-5) - 4/10. Suppose -166*x = 4550 - 6376. Calculate the remainder when 4/w - (-596)/28 is divided by x. 10 Let l = 264 + -231. Suppose -2*h + 13 = 2*n - 3*h, -n + 3*h = -9. Let s = n + 3. What is the remainder when l is divided by s? 6 Suppose -58 = 5*a + 3*p, -3*p + 4 = -2*p. Let f be a + 15 - -2*1. What is the remainder when 50 is divided by (-4 + 32/3)/(1/f)? 10 Let m be 0/9 + (-1)/(5/950). What is the remainder when 114/m - (-4496)/10 is divided by 19? 12 Let o be 3/2*112/12. Let b(f) = f**3 + 120*f**2 - 488*f + 1050. Calculate the remainder when b(-124) is divided by 284/o - 2/7. 18 Let k(n) = -n**2 + 17*n - 30. Let v = -28 - -43. Let s be k(v). Suppose s = -c - 5*r + 22, -r + 14 = c - 0*r. Calculate the remainder when c is divided by 9. 3 Suppose -25*a + 145 = -280. Calculate the remainder when 1404 is divided by a. 10 Let u(t) = 2*t**3 - t**2 - 16*t + 11. Suppose 14*j = -15*j + 87. Calculate the remainder when 37 is divided by u(j). 5 Suppose -g + 133 = y, 2*y - 2*g = 6*y - 524. Suppose 0 = -7*n - 908 + 341. Let d = n + 107. What is the remainder when y is divided by d? 25 Let v(u) = -5*u - 18. Let y be v(-4). Suppose y*q - q - 5 = 0, w = -3*q + 20. Suppose -p = -14 + w. Calculate the remainder when 14 is divided by p. 5 Suppose 162*z = 163*z - 2, 11871 = 3*i - 3*z. Calculate the remainder when i is divided by 45. 44 Suppose -4*c + 1 + 27 = 0. Let k = 994 - 775. Suppose -7*g = -k + 2. What is the remainder when g is divided by c? 3 Let s = -285 + 290. Suppose f = -s*m + 146, -6*f = -3*f - 3. Calculate the remainder when 140 is divided by m. 24 Suppose 2*c + 84 = 80, -5*p + c + 157 = 0. What is the remainder when 917 is divided by p? 18 Suppose -3*q + 14*v = 19*v - 164, 2*q + 4*v = 112. What is the remainder when q is divided by 7? 6 Let y(o) = o**3 - 17*o**2 + 22. Let m(t) = -12*t - 2. Let f(r) = -2*r**3 - 2*r + 3. Let i be f(1). Calculate the remainder when y(17) is divided by m(i). 2 Suppose -7*w = -6*w + 2, -4*c - 5*w + 2 = 0. Let b = -1 - -12. Suppose -c*p + b*p = 520. What is the remainder when p is divided by 17? 14 Suppose 33*s = 31 + 1652. Calculate the remainder when 1249 is divided by s. 25 Suppose 0 = x - 5*j - 19, -2*x = 9*j - 10*j - 47. Calculate the remainder when 1175 is divided by x. 23 Suppose -2372 = -15*y + 673. Let q = 25 + y. Calculate the remainder when q is divided by 77. 74 Suppose 33 = -4*p + 189. Let k = 2261 + -2147. Calculate the remainder when k is divided by p. 36 Let h(s) = -113*s + 4377. What is the remainder when h(34) is divided by 35? 10 Let w(t) = -t**3 - 8*t**2 - 3*t - 9. What is the remainder when w(-9) is divided by (-9)/6*(-20 - -2 - 16)? 48 What is the remainder when (-29)/(-145) - (-5568)/10 is divided by 14? 11 Let q = -8265 + 8399. Calculate the remainder when 217 is divided by q. 83 Suppose 51*y - 40*y - 2079 = 0. What is the remainder when y is divided by 130/4 - 7/14? 29 Suppose 6*n - 630 = -0*n. Let l(i) = 20*i**2 - 118*i + 10. What is the remainder when n is divided by l(6)? 17 Suppose -j + 1961 = 4*a, 3*a = -1346*j + 1351*j + 1511. Calculate the remainder when a is divided by 108. 60 Let g(c) be the second derivative of -c**4/12 - c**3/2 - 17*c. Let j be g(-3). Suppose 27 = 3*s - j. Calculate the remainder when 26 is divided by s. 8 Let q(o) = -7*o - 123. Calculate the remainder when q(-21) is divided by 15/(-5) - (-36)/((-6)/(-3)). 9 Let a = -11748 - -13120. Calculate the remainder when a is divided by 8. 4 Suppose 1851*p - 1836*p - 31050 = 0. Calculate the remainder when p is divided by 7. 5 Calculate the remainder when (10695/25 - 1) + 17/85 is divided by 113. 88 Suppose -3*w + w - 5*j = -134, 5*w = -4*j + 335. Let b(f) = -f**3 - 14*f**2 + 274*f + 10. What is the remainder when w is divided by b(-25)? 32 Let d(n) = -3*n**3 + 2*n**2 + 6*n + 3. Let u be d(-2). Suppose -u*k + 776 = -121. What is the remainder when 43 is divided by k? 4 Suppose -210 = 42*d - 36*d. Let t = d + 144. What is the remainder when t is divided by 5? 4 Suppose 0 = -39*p + 16*p + 68264. What is the remainder when p is divided by 90? 88 Suppose 48 = -15501*m + 15507*m. Let u(z) = -z**2 + 9*z - 8. Let w be u(8). What is the remainder when m is divided by (w + 2/(-5))*-10? 0 Suppose 3*o - 157 = -2*y, 4*y = -4*o + y + 210. Suppose -144 + o = -t. What is the remainder when 275 is divided by t? 89 Suppose 10 = 14*u - 9*u. Suppose -2*g + 9 = -11*g. What is the remainder when g/((-1)/(3 + 1)) is divided by u? 0 Let o = 1029 - 746. Suppose -2*c + 20 = 3*c. Suppose 0 = -5*q + s + 330, -19 = c*q - 2*s - o. What is the remainder when q is divided by 14? 10 Let q(g) = 2*g - 24. Let t be q(21). Let s be (t + -3)/(0 + 1/5). Suppose 0 = -2*x + n + 61, -x - 4*n = 2*x - s. What is the remainder when x is divided by 15? 14 Let b = 13536 + -12886. Calculate the remainder when b is divided by 164. 158 Suppose 12056*z - 3827 = 12013*z. Calculate the remainder when z is divided by (-1 + 4)*14/3. 5 Let i = 48 - 56. Let h(x) = -x**3 + 0*x + 0*x - 3*x + 0*x - 8*x**2 + 14. What is the remainder when h(i) is divided by 13? 12 Suppose -224*c = -59*c - 15790 - 7145. What is the remainder when c is divided by 2*(2 - 10)*-2? 11 Suppose -5*d + 3*w = -9, 5*d - 5*w + 1 - 16 = 0. What is the remainder when d/3 - (-194 - -5) is divided by 15? 9 Let k(p) = p + 13. Let l be k(-11). Let y(z) = -10*z**2 + 3*z - 2. Let w(n) = -n**2. Let d(i) = 6*w(i) - y(i). What is the remainder when 33 is divided by d(l)? 9 Let n(m) = -m**3 + m**2 - 7. Let o be 0 - ((6 - 4) + -5). Let f(w) = -w**2 + w. Let l(u) = o*f(u) + n(u). Calculate the remainder when l(-5) is divided by 18. 17 Suppose 3*f = 2*f - 3. Let w(d) = -24*d + 6. Let r(a) = -12*a + 3. Let l(m) = -7*r(m) + 4*w(m). What is the remainder when 193 is divided by l(f)? 37 Suppose -5*v = -5*p + 170, p - 4*v + 160 = 5*p. Let a(g) = 406*g**3 - 14*g**2 + 12*g + 1. What is the remainder when a(1) is divided by p? 35 Suppose -374 = 17*w - 19*w. Let x = 213 - w. Calculate the remainder when 259 is divided by x. 25 Let n(t) = t**2 - 8*t + 1. Let w(h) = h**2 + 1. Let j = 89 - 87. Let m(y) = j*w(y) - n(y). Calculate the remainder when m(-9) is divided by 9. 1 Suppose 28*t = 23*t - 3*b + 2656, 5*b = 5*t - 2680. Calculate the remainder when t is divided by 258. 17 Let h be ((-77)/33 - -3)/(2/(-30)). Let y(b) be the third derivative of b**4/4 + 71*b**3/6 - 2*b**2. What is the remainder when 76 is divided by y(h)? 10 Suppose 0 = -36*q + 72*q - 6552. Suppose -q = 41*k - 48*k. Calculate the remainder when 49 is divided by k. 23 Suppose -3*s - 2*p = -38, 0 = -s + 3*p - 2*p + 16. Suppose -80*h + 677 = -75*h - 2*x, -x - 270 = -2*h. Calculate the remainder when h is divided by s. 11 Let c(k) = 40*k - 4. Suppose a = 1 - 5, a = -3*z - 1. What is the remainder when 65 is divided by c(z)? 29 Suppose 511*r - 507*r = 3*k - 562, 0 = -5*k + r + 965. Calculate the remainder when k is divided by 29. 20 Let z(r) = -r**3 - 17*r**2 + 15*r - 3. Calculate the remainder when 65 is divided by z(-18). 14 Suppose -8*u = -0*u + 11*u. Suppose 66 = 2*t - 0*t + 4*s, u = -4*t - 3*s + 147. Suppose -45 = 5*d - 800. What is the remainder when d is divided by t? 34 Let y be (3/2)/((-4)/(-8)). Suppose -2*i = 4*m - 16, -6*m + 2*m + 24 = y*i. What is the remainder when 38 is divided by i? 6 Suppose 5*u - 8 = 3*u. Let q(a) = -a**3 + a**2 + 11*a + 16. Calculate the remainder when q(-2) is divided by u. 2 Calculate the remainder when ((-176)/132)/((-10)/2325 + 0) is divided by 6. 4 Let v(x) = -2*x**3 + 21*x**2 - 5*x + 19. Let a be v(10). Suppose 4*d = a - 5. Calculate the remainder when 349 is divided by d. 13 Let z be (4/(-4))/((-4)/168). Let s = z - 39. Suppose -a + s*a = 32. What is the remainder when 61 is divided by a? 13 Let s = -14744 - -14753. Suppose y = 4*y - 69. What is the remainder when y is divided by s? 5 Suppose 3*o - 5*z = 3022, -254*z + 5060 = 5*o - 259*z. What is the remainder when o is divided by 41? 35 Suppose t - 5*c - 151 = 0, 36*t - 37*t + 175 = -c. Calculate the remainder when 575 is divided by t. 32 Suppose 396 - 968 = -4*o. Calculate the r
{ "pile_set_name": "DM Mathematics" }
15 = 0 for w. 0 Let t = -513 - -515. Solve 3 = -y - 2*l + 4*l, -t*y + 2*l = 8 for y. -5 Let t(g) = -g + 3. Let c be t(-23). Solve -c = -5*j - 3*y + 8, -j - 4*y = -17 for j. 5 Let p = -673 + 676. Solve 3*k = 3*s + 7*k + 5, -2*k - p = s for s. 1 Suppose -k = 4*r - 16, -5*k + 22 = r - 1. Solve -2*t + 12 = 5*h + 1, 3*t - k*h + 18 = 0 for t. -2 Let j be 0 - (-38)/8 - 21/(-84). Solve 3*c + 1 = -4*w - 4, j*c - 50 = 5*w for c. 5 Let c(i) be the third derivative of i**4/8 - 5*i**3/6 - 5*i**2. Suppose -10 = -4*f + 2. Let d be c(f). Solve -4*l + 0*k + 2*k = -4, 0 = -5*l + 2*k + d for l. 0 Suppose 0*q - q = 2, v + 3*q + 6 = 0. Solve v = h - 5*t + 24, h + t = 4*t - 16 for h. -4 Suppose -4 = -u - 4*z, -4*u + z + 52 = 5*z. Solve 5*x - 5*m + 30 = 0, -4*x - m - u = -3*m for x. -2 Let m(f) = f**3 + 17*f**2 - 2*f - 285. Let h be m(-16). Let b = 22 + -5. Solve 5*x - b = h*l + x, 3*l + 11 = x for l. -3 Let s be 0*(12/4 - 2). Suppose 5*u + s*u = 210. Let f = -34 + u. Solve 7 = 2*o - 3*o - 2*q, 0 = -4*o + 2*q - f for o. -3 Let l be 30/12 + 2/4. Suppose 2*h = -l*s - 6 + 13, 5*h = s + 9. Suppose 0 = -3*m - w + 8, 0*w = 2*m - 5*w - 28. Solve -q - 8 = -h*o, -m*q = o + o + 2 for q. -2 Let w = 197 + -287. Let k = 94 + w. Solve 3*o - 2*j = o + 4, -o + k*j + 11 = 0 for o. -1 Let q = -1216 - -1221. Solve -4*f = -2*f - q*x + 20, 3*f = 5*x - 25 for f. -5 Let s(j) = j - 5. Let r be s(2). Let f be (16/(-5))/(r/15). Let h = 26 - f. Solve 4*n + 2*m + 20 = 6*m, -2*m + h = 5*n for n. 0 Suppose 2*l + 3 = 9. Suppose -l - 12 = -5*w. Solve 3*y = w*g + 24, -2*y + 4*g - 2 = -26 for y. 4 Let r(m) = m. Let g = 18 - 13. Let h be r(g). Suppose -5*o = h*q - 35 + 5, 5*o = -q + 26. Solve 0 = -t + f - 1, 3*t - 2 = o*f - 9 for t. 1 Suppose -r - g + 6 = 0, -2*r - 5*g + 10*g = -12. Solve n - 13 = 4*j, n - r*n = -5*j - 35 for n. 5 Let z be ((-27)/(-3))/(0 - -3). Suppose -o - z*u + 14 = u, 2*o - 5*u - 2 = 0. Solve -2*m + o = 2*b, 4*m = -3*b + b + 2 for b. 5 Let g = 337 - 336. Solve -o - 2*i + g = 0, 0 = -o + i + 3*i + 7 for o. 3 Let z be (3 + -7)*5/(-10). Solve -4*y = -3*y + z*j, 0 = 3*y + 4*j for y. 0 Let k(b) = -b**3 + 14*b**2 + 13*b + 37. Let a be k(15). Solve -u + s + 2 = 0, -4*u = 3*s - 2*s + a for u. -1 Let u be -11 - -14 - (-1 + 2 - -3). Let v be (1 - 0/u)/(22/220). Solve -v = 2*z - m, m = -5*z + 3*m - 25 for z. -5 Let m(n) = 5 + n - 1 + 10. Let y be m(-12). Solve u + o = -0*o - y, 18 = u - 3*o for u. 3 Let n be 2 + -9 + (4 - 0). Let b be n - (-4 + 0 + -2). Suppose 0 = 2*l - 3 - b. Solve y + 0*y + 5*i + 9 = 0, -l*i - 3 = 3*y for y. 1 Let l = 767 - 757. Solve -m - 3*g + 12 = -2*m, 2*g - l = 0 for m. 3 Suppose -2*b = 5*r - 10, 0*b + b - 5 = 4*r. Suppose -5*t + 1 + 4 = r. Solve t - 18 = -2*w - 5*s, w - 2*s = -14 for w. -4 Let f(z) = -z**3 + 4*z**2 - z - 3. Let w be f(2). Solve -5*b + 19 = -w*j, -b + 3*b = 4*j + 16 for j. -3 Suppose -q - 16 = -3*j, 3*j - 21 = -3*q - 9. Solve -2 = 2*c - 10*r + 9*r, -j*c - 5 = -r for c. -1 Let a = -9 + 13. Let n be -2 + (7 - 12/a). Suppose -3*r = n*r - 60. Solve 2*j - r = 4*l, 10 = l - 3*l - j for l. -4 Let z be 5 + -8 + (-1 - -6). Solve -3*a - 11 = -z*s, -5 = 4*a + 15 for s. -2 Let a(v) = -v**2 + 9*v - 12. Let w be a(7). Suppose z - 3 = -4*c - w*z, 3*c - 3 = -2*z. Solve i + 6 = 4*f, c*f - 3*i = 2*f - 4 for f. 2 Let q(a) = 4*a**3 + 4*a**2 + 4*a - 1. Let t be q(-2). Let w = 27 + t. Let l be -1*w*(-8)/16. Solve -l = 4*h - 5*f, 0 = -h + 6*h + 2*f - 7 for h. 1 Suppose -7*l + 12*l = 550. Let k = l + -105. Solve -2 + 9 = -4*u + k*n, 3*u - 5*n = -4 for u. -3 Suppose 2*k + 2*k = 32. Suppose 2*i + 10 = -3*i - 5*n, 0 = -4*n - 20. Let s = 1815 + -1811. Solve -i*l + k = s*r, -2*l - 2 = 3*r - 4*r for r. 2 Let y be (-28)/(-14)*-1 + 1*5. Solve -5*f + y*a = -7, 2 = 3*a - 1 for f. 2 Suppose 0 = 3*c - 65 + 26. Let a be 40 - (7 + -4)/3. Suppose -l - c = -a. Solve -5*g - 5*t + l + 14 = 0, 4*g - 11 = 3*t for g. 5 Suppose 3*j - 8 = 4. Suppose -4*x - 2*n + 2 = 0, -2*x - 3*x + j*n + 9 = 0. Suppose -2*v + 5*v - 6 = 0. Solve -v*h + c = -4, h - x = -c + 7 for h. 4 Suppose 0*i + 3 = 2*i - 5*z, -2*i + 2*z + 18 = 0. Let m = -12 + i. Solve 2 = 4*b + y + 12, -m*b - 2*y - 8 = 0 for b. -2 Let n(g) = -g**3 + 4*g**2 + 12*g + 2. Let r be n(6). Solve -3*i + z = -14, -4*i - 3*z + 25 = r for i. 5 Suppose -4*l - 37 = -l + 2*x, 70 = -5*l + 5*x. Let s = 16 + l. Suppose -7 - s = -2*w. Solve -26 = -0*y - w*y + 4*n, 4*y = 4*n + 24 for y. 2 Let q = 23 + -23. Let x = 38 + -34. Solve q = -0*k + 4*k - 4, -4*k + 24 = -x*v for v. -5 Let f(a) = 5*a**3 - 8*a**2 + 2*a - 2 + 3*a**3 - 6*a**3 - a**3. Let j(m) = -7*m + 1. Let g be j(-1). Let p be f(g). Solve -n + v = n + 10, 5*v - p = -2*n for n. -3 Let q be -4 + 52/2*(-6)/(-12). Solve f = 5*f - 3*c - 5, -4*c - q = -3*f for f. -1 Suppose -14 = -4*c - 3*v, -13*c + 11*c + 8 = v. Solve 5*s - r = -3*r - 2, 5*r + c = -5*s for s. 0 Suppose 0 = 8*b - 175 - 73. Let y(a) = 2 + 3*a - 5*a + 3*a. Let k be y(0). Solve 5*j = -4*r + b, -k*r + j - 4 = -9 for r. 4 Let i be 2/(-3)*(-666)/(-12). Let y = 41 + i. Solve 0*q + 22 = -2*q - 4*l, -y*l - 24 = 4*q for q. -1 Let q be 66/36 - 2/(-12). Suppose m = 4, x + q*m + 2*m = 18. Let j(h) = h**3 + h**2 - h + 2. Let u be j(0). Solve 0 = -b + 4*t - 5, 4*t - 4 - u = x*b for b. -1 Suppose -5*i + 2*u = -16, 16 = 2*i - 6*u + 2*u. Suppose 27 = 5*c + n, 0 = -i*c - 5*n + 4*n + 12. Solve -5*z = -20, 3*o + 15 = -c*z + 50 for o. 5 Let b be 51/4 - 1/(-4). Let z(s) = -s**3 + 4*s**2 + 20*s. Let r be z(7). Let a(u) = 17*u + 121. Let x be a(r). Solve 18 = 2*g - 3*h, -x*g - 4*h - b = -g for g. 3 Suppose -5*q = -4*t + 44, -2*q - q - 5*t - 56 = 0. Let a(l) = l**2 + 10*l - 21. Let y be a(q). Solve y*w + 2 = -3*f - 2*f, 0 = -2*w - 4*f for w. -4 Let f = -201 + 228. Solve l = 5*o - 25 + 2, 5*l = 3*o - f for l. -3 Let g = 28 + -12. Let v = g + -15. Let w be ((-38)/57)/(v/(-3)). Solve 3*o + w*u + 3*u = -7, 3*u = 3 for o. -4 Suppose 5*w - 20 = 3*w. Suppose 0*g - 5*s = -4*g + 1, -g - 4*s - 26 = 0. Let h = w + g. Solve 3*r + 11 = h*a, 2*r = -5*a - 3 + 11 for a. 2 Let w be ((-312)/(-182))/(1/(-14)*-4). Solve j + z = 3, 4*j - 2*z + w = 5*j for j. 0 Let g(y) = -y + 1. Let v(p) = -4*p + 11. Let x(q) = -5*g(q) + v(q). Let m be x(-3). Solve 27 = m*f - 5*a, 4*f = 3*a + 11 + 14 for f. 4 Let j(y) = -y**3 + 13*y**2 + 12*y - 140. Let l be j(13). Solve -5*r - 8 = 2*d - 2*r, -4*d = -5*r + l for d. -4 Let a be ((-12)/(-30))/1 - 86/(-10). Solve q + 2 = -q - 2*b, -3*q = 5*b + a for q. 2 Let l be ((-6)/(-8))/(-3) + (-22)/8. Let w be (l/7)/((-3 + 5)/(-14)). Let j be (5 - 3) + 4/2. Solve -j*k - 1 = -d, -2*d + 4*k = d - w for d. 1 Suppose -6*m - 5 + 35 = 0. Solve 0 = 2*a - m*v + 25, a + 13 = -a + v for a. -5 Let r(d) = d. Let k(f) = -3. Let v(q) = k(q) - 3*r(q). Let w be v(-4). Let x be (-6)/w - (-11)/3. Solve 4*y = -x*b - 14, -y + 4*b = 3*y for y. -2 Let h(y) = y**3 + 14*y**2 + 20*y + 8. Let p be h(-8). Suppose 5*v + p = 62. Let m = -30 - v. Solve 2*c - o + 6 = 0, -2 = -2*c - 2*o + m for c. -1 Suppose t - 1 = z, 0 = 3*t - 4*z + 1. Let n be (2/t)/((-12)/(-330)). Solve g - 3*y + n = -0*y, 0 = 2*g - y - 3 for g. 4 Suppose 0 = -3*t + 3*w + 18, -18*t + 21*t - 2*w = 20. Solve -3*o + 0*o = -15, -2*o + t = -2*h for h. 1 Suppose 297*v = 301*v - 16. Solve v*c = 7*c + 3, 3*c = -4*k - 7 for k. -1 Let r(d) = 5*d**2 - 13 - 20*d - d**3 - 17*d**2 + 32 - 17. Let m be r(-10). Solve 2*k - m*h - 4 = -0*k, -3*h + 9 = 0 for k. 5 Let p(h) = h**2 + 3*h + 3. Let j be p(-3). Let l(u) = 2 - 4*u - 7 - 2 + j. Let g be l(-2). Solve g*w - 2*k = -20, -4*w = -w + 4*k - 7 for w. -3 Suppose -2*p + 2 = 0, -5*t + 3*p = 4*p - 16. Solve 3*m - 2 = 2*y, 3*y - 3*m = -t - 0 for y. -1 Suppose 33*r + 55 = 44*r. Solve i - 23 = 4*c, r*i - 3*i - 2*c - 16 = 0 for i. 3 Suppose -4*g + 4*l + 4 = -2*g, -4*g + 14 = -5*l. Suppose g*x = x. Solve x = k - 1, 3*k + 1 + 8 = -3*a for a. -4 Suppose -7*o - 160 = -3*o. Let z be (-8)/36 - o/18. Let k = -33 - -35. Solve -k*r + z*h + 0 = -8, r + 5*h - 4 = 0 for r. 4 Suppose 32 = -2*p + 3*p. Suppose 3*b - 8 = -j, -5*b + p = -0*j - 3*j. Solve 0 = 4*g + 4*v + 20, 0*g = 3*g + b*v + 20 for g. 0 Let u = -55 - -65. Let l be (0 + u)/((-18)/(-9)). Solve 0 = -4*y - 2*t - 20, -t = l*y - 2*t + 11 for y. -3 Let z = -62 - -68. Suppose 20 = 5*c, -z*c = 4*x - c - 20. Solve 3*h = 5*u + 9, x*h - 2*u - 12 = 3*h for h. -2 Le
{ "pile_set_name": "DM Mathematics" }
184*t**4 Expand (1 + 3 - 2)*(2*h**2 + 2 - 2) + 2*h**2 + h**2 - 5*h**2 - 1734*h**2 + 141*h**2 + 175*h**2. -1416*h**2 Expand (0 - 1 - 1)*(-4 + 4 - 2*g) + 18 + 6 - 24 - 370*g. -366*g Expand (-4 + 2 + 3)*(-r**4 - r**4 + 4*r**4) - 123*r**2 + 1215*r**3 + 78*r**2 - 1217*r**3 - 11*r**4. -9*r**4 - 2*r**3 - 45*r**2 Expand (-2*k + 2 - 4 + 0)*(-241*k + 68*k**2 + 17*k**2 + 248*k). -170*k**3 - 184*k**2 - 14*k Expand 645*l + 493*l - 2263*l + (7*l - 2*l - 2*l)*(4 - 5 + 2) + 0 + l + 0. -1121*l Expand (131 + 129 - 25*u**3 - 261)*(-4*u + 6*u + 0 + 3) + (-7*u**2 - 4*u**2 + 2*u**2)*(-4*u**2 - 7*u**2 + 12*u**2). -59*u**4 - 75*u**3 - 2*u - 3 Expand (-2*j + j**2 + 2*j)*(j**2 + 31 - 22 + j**2) + 6*j**4 + 52*j**3 - 52*j**3. 8*j**4 + 9*j**2 Expand (-29 + 29 - 9*w**2 + (0 - 2 + 0)*(-2*w**2 - 2*w**2 + 2*w**2))*(-24 + 13 - 90). 505*w**2 Expand -3*r**5 + r**5 + 4*r**5 + (r - 5*r + r)*(r**4 + 4 - 4) + r**5 + 2*r**5 - 6*r**5 + (2*r**3 + 4 - 4)*(0*r**2 - 2*r**2 + 0*r**2) - r**2 + 2*r**5 + r**2. -6*r**5 Expand -110*a**2 - 363*a**2 - 74*a**2 + (0*a - 2*a + 0*a)*((0 + 0 + 1)*(-3 + a + 3) + 3*a + a - a). -555*a**2 Expand (0 + 0 - 1 + (-5 + 1 + 2)*(0 - 6 + 5))*(-16*q - 17 + 17). -16*q Expand (-957 + 438 - 254)*(-z**2 + 2*z**2 + z**2). -1546*z**2 Expand 10*f - 27*f - 34*f - f - 3*f + 2*f + (1 - 7 + 3)*(-2*f + 12 - 12) + 0*f - f - 2*f. -50*f Expand -92272*u - 8*u**2 + 92272*u + 4 - u + u - u**2 + (0 - 5 + 3)*(-3*u**2 + 0*u**2 + 5*u**2). -13*u**2 + 4 Expand (3792 - 5468*p**3 - 3792)*(2*p**2 - 3*p**2 + 0*p**2). 5468*p**5 Expand -3*f**3 + 2*f**3 + 5*f**3 + (9 - 16*f**2 - 9)*(-18*f + 24*f + 26*f). -508*f**3 Expand (-60*g + 21*g + 25*g)*(269*g + 111*g - 661*g). 3934*g**2 Expand (-983*o - 392*o + 801*o - 12)*(2 - 4 + 1). 574*o + 12 Expand (h - 5 + 5)*(90*h**2 + 677*h**3 + 1182*h**3 - 90*h**2 - 14657*h**3). -12798*h**4 Expand (-j - 9*j - j - 2*j)*(1 + 4 - 3)*(655*j**2 - 655*j**2 + 26*j**4). -676*j**5 Expand (-b - b**2 + b)*(20086302 - 641*b**3 - 20086302). 641*b**5 Expand 18*a**2 - 1621*a + 1621*a + (a - 3*a + a)*(3 - 3 - 2*a) + 0*a + a**2 + 0*a - 35*a**2 - 3*a + 14*a**2 + 1 + 19*a**2. 19*a**2 - 3*a + 1 Expand 0 + q**3 - 2*q**2 + 0 + (4*q**2 + 17*q**2 - 14*q**2)*(-q + 0*q - 3*q + (0 + 3 - 2)*(-6*q + 2*q + q) + 6 - 6 - q). -55*q**3 - 2*q**2 Expand (7 + 12 - 12)*(3 + 2 - 3)*(-8*f + 29*f - 5*f)*(0 + 2 - 1). 224*f Expand (5*n - 2*n + 4*n)*(1 - 4 + 2)*(6598 - 11898 + 6122). -5754*n Expand (2650*o**3 - 18 - o - 70 + 87 - 2*o**4)*(4*o - 4*o + o). -2*o**5 + 2650*o**4 - o**2 - o Expand 4 - 341408*x + 169954*x + 170601*x + (-1 + 0 + 3)*(0*x + 2*x - 3*x). -855*x + 4 Expand 5*z**2 - 2*z**2 + 4*z**2 + (2 + z - 2)*(-3*z + 0*z + 4*z) + (z - 1 + 1)*(0*z - z - 3*z) + 2*z + z**2 - 2 + 2. 5*z**2 + 2*z Expand (-2508 + 2508 - 3929*n)*(3 - 1 + 1). -11787*n Expand h**3 - 2 + h**5 - 2*h**3 - h**3 + (-h - 8*h - 16*h)*(6*h**4 - h**2 + h**2) + 20*h**5 + 66*h - 66*h. -129*h**5 - 2*h**3 - 2 Expand (219*z + 1672706 - 1672706)*(-z**2 - 5*z + 5*z). -219*z**3 Expand (-10547 + 0*p - 2*p + 10582)*(1 + 3 - 7). 6*p - 105 Expand (5 + i - 5)*(12126*i - 24340*i - 22*i**2 + 12178*i - 70*i**2). -92*i**3 - 36*i**2 Expand -2448 + 843 + 747 + r + (-1 - 4 + 4)*(1 - r - 1). 2*r - 858 Expand q - 4*q + 4*q + (0 + 3 - 2)*(-2 - 2*q + 2) + 4*q - 2*q - q - 2*q + 0*q - 2*q + (-4 + 4 + 2)*(3*q + 0*q + q) + 3*q + 3*q - 4*q. 6*q Expand (8*x**2 - 3*x**2 - 3*x**2)*(34 - 7 - 14) - 17*x**2 + 55*x - 55*x. 9*x**2 Expand (2*b**2 + 7*b - 7*b)*((-b - 5 + 5)*(2*b - 2*b + b) + (-183*b - 236 + 236)*(-6*b + 3*b + 2*b - 2)). 364*b**4 + 732*b**3 Expand -x**4 + 6*x**4 - 3*x**4 + (-42*x**4 - 17*x**4 + 9*x**4)*(-48 - 29 - 28) - x**4 + x**4 + x**4. 5253*x**4 Expand -134*p**4 + 134*p**4 + 20*p**5 + (5*p**2 + 3*p**2 + 4*p**2)*(0*p**3 - p**3 - p**3) - 3*p**5 + 2*p**5 + 2*p**5. -3*p**5 Expand -2*j + 2*j - j**3 - 2*j**2 + 2*j**2 - 2*j**3 + (0 + j + 0)*(-45 + 6*j**2 + 45) - 2*j**3 + 7*j**3 + 3*j**3. 11*j**3 Expand -90*t + 112*t + 83*t + (-1 + 0 + 2)*(-1 + 2*t + 1) + (-5 + 0 + 6)*(-4*t - t + 3*t)*(2 + 1 - 4). 109*t Expand 12*i - i**5 - 12*i + (-13*i - 4*i - 6*i + (0 + 4 - 35)*(i + 0*i - 2*i))*(-3*i + 3*i + i**4). 7*i**5 Expand (-2*t - t + 6*t)*(-32*t + 62*t - 8*t)*(1 - 1 - 2)*(-3*t + 6 - 6 + (-t - 3*t + 2*t)*(-1 + 1 + 2)). 924*t**3 Expand (0*c - 2*c + c - 2)*(-1734*c**3 + 892*c**3 - 1029*c**3). 1871*c**4 + 3742*c**3 Expand (0 - 4 - 1)*((4 + 0 - 3)*(6*r - r - 3*r) + 14*r + 80*r - 30*r - 3 + 2*r + 3)*(-24 + 24 - 3*r)*(0*r - 7*r + 2*r). -5100*r**3 Expand (r - r + 2*r)*(4*r**2 - 69329*r**3 + 69323*r**3 - 3*r**2 + 2*r**4). 4*r**5 - 12*r**4 + 2*r**3 Expand (-243 + 15 + 13)*(-3 + 3 - y**2) + y + 2*y**2 - y + y**2 - 5*y**2 - y**2. 212*y**2 Expand (-284*v + 155*v + 143*v + 463*v + 443*v)*(8*v + 0*v - 3*v). 4600*v**2 Expand (-16 + 5*i + 11 + 8)*(-1 + 3 - 4)*(-23 + 41 + 39). -570*i - 342 Expand (2*k**2 + 9*k**2 + 4*k**2)*(4*k**2 + k**2 - k**2) + 2*k**4 - 2*k**4 - 2*k**4 + (-2*k**2 - k**2 - 2*k**2)*(k**2 - k**2 - k**2). 63*k**4 Expand (4*d**2 + d**2 - 3*d**2)*(-33*d + 13598 - 13598)*(9 - 2 + 1) + d**3 - d**3 + d**3. -527*d**3 Expand (9 - 28 - 17)*((0*o**2 - 4*o**2 + 3*o**2)*(-o + 2*o**3 + o) + 0*o**4 - 3*o**5 + 0*o**4). 180*o**5 Expand (-11384 - 1805*u + 11384)*(-13*u - 10*u**2 + 13*u). 18050*u**3 Expand (-3 + 3 + 2)*(5*l - 4*l - 7*l)*(-2*l**4 - l**4 - l**4) + 2*l**5 + 2*l**5 + 11*l**5. 63*l**5 Expand (-3 + 2*a**3 + 3 + (a**3 + 4*a - 4*a)*(0 - 3 + 2) - 3 + 3 + a**3)*(310*a - 720*a - 405*a). -1630*a**4 Expand (-27 + 27 + 10*p**3)*((30*p + 60*p - 6*p)*(-1 - 1 + 0) + p - p - 2*p + p + 2*p + 0*p). -1670*p**4 Expand 2 - 65*w**5 + 237*w**2 - 237*w**2 + (-2*w**2 + 0*w + 0*w)*(4*w**2 - w**3 - 4*w**2) + 0*w**3 + w**5 + 0*w**3 + 3*w**5 - 27*w**5 + 10*w**5. -76*w**5 + 2 Expand ((-1 + 0 + 2)*(52 + 889*c - 52) - 4*c + 7*c - c)*(-c + 1 - 1). -891*c**2 Expand x + 3*x - 2*x + (-4 - 2 + 4)*(-679*x - 1833*x - 275*x). 5576*x Expand (-k**2 - 2*k**3 + k**2)*(0*k - 4*k + 2*k) - 198*k**4 - 281*k**4 - 189*k**4. -664*k**4 Expand (-1 + 1 + 3 + (-4 + 0 + 1)*(-2 + 4 + 0) + (-4 + 6 + 1)*(16 - 12 - 13))*(-2 + 3 + 1)*(-3*q**2 + 2*q - q + 2*q). 180*q**2 - 180*q Expand 0 - 9*h**2 + 0 - 14*h**2 + (-3 - 1 + 7)*(7 + 8*h**2 - 7). h**2 Expand (-2*r - 3*r + 0*r)*(-1 + 2 - 4) + 39 - 21*r - 39. -6*r Expand (-2117 + 2117 - 35*f)*(-8 + 8 - 13*f - 2)*(-3*f + f + 0*f). -910*f**3 - 140*f**2 Expand (2*i + 2*i - 2*i - 4*i + 2*i - 7*i + 3 - 3 - i + (3 - 4 + 0)*(3*i + i - 2*i) - 16 + 16 - 6*i)*(-1 - 2 + 5)*(4*i + 2 - 2). -128*i**2 Expand (a + 1 - 1)*(-38 - 6 + 8)*(43*a - 43*a - 46*a**4). 1656*a**5 Expand (-q - 5*q + 0*q)*(-4*q - q + q)*(39*q - 39*q + 36*q**3). 864*q**5 Expand (-7*u + 4*u + 2*u - 18 + 18 - 3*u + (0 - u + 0)*(0 + 0 - 5))*(-1 - 2 + 4). u Expand (-1 - 3 + 2)*(32 - 5 + 10)*(80*z**3 - 67*z**3 - 52*z**3). 2886*z**3 Expand (-308 + 45 - 173)*(3 - i - 3)*(-3*i + 2*i + 3*i). 872*i**2 Expand (2*t + t + t)*((-2 + 2 - 2*t)*(2*t - 5 + 5) - 2*t + 2*t**2 + 2*t + (-2*t**2 + 2*t**2 + 5*t**2)*(5 - 3 + 2)). 72*t**3 Expand (-3*v - 5*v + 21*v + (4 - 2 - 4)*(3*v - 4*v + 3*v))*(-10*v**2 + 12*v**2 - 5*v + 10*v)*(2 - 2 - 2*v). -36*v**4 - 90*v**3 Expand (3 - 3 + 5*s)*(4 + 14 + 22)*(-4*s - 8*s + 5*s)*(2*s + 4*s - 4*s)*(4 - 6 + 0). 5600*s**3 Expand 6*g - 13*g - 1 + 3 + (-5*g + 5*g - 2*g)*(-52 + 30 - 21). 79*g + 2 Expand (1 + 3 - 3)*(-291*j + 3123*j - 44402*j + 1506*j). -40064*j Expand (-5 + 1 + 5)*(-4*t**3 - 2*t**5 + 4*t**3) - 896*t**3 + 896*t**3 - 49*t**5 + (-1 - t**4 + 1)*(3*t - 7*t + 3*t) - 108*t**2 + 108*t**2 - 5*t**5. -55*t**5 Expand (-x - 2*x**3 + x)*(-110*x - 49*x + 162*x + 624). -6*x**4 - 1248*x**3 Expand (1 - 1 - 2)*(-199 - r + 199)*(-r**3 + 12*r**3 + 7*r**3). 36*r**4 Expand (-5*t - 4*t + 4*t)*(1098 + 1096 + 1127*t - 2194). -5635*t**2 Expand (-4 + 10 - 14)*(-2*y**3 - 4*y + 4*y)*(5 + 7 - 4 + (-4 - 2 + 5)*(-2 + 1 + 3)). 96*y**3 Expand (2*d**5 - 2 + 2)*(0 + 1 - 3) + (-d**4 + 9*d**4 + 2*d**4)*(-11*d + 15*d + 3*d). 66*d**5 Expand (-73*f + 220*f + 1333*f)*(0*f**3 - 2*f**3 - 2*f**3). -5920*f**4 Expand -5*v**3 + 2*v**2 + 3*v - v + 0*v + (-5*v - 9*v - 11*v)*(0 + 2 + 0)*(-2*v**2 - 2*v**2 + 5*v**2). -55*v**3 + 2*v**2 + 2*v Expand -14661*s - 885*s**4 + 14661*s + s**4 + 2*s**3 - 2*s**3 + (4*s**4 - s**2 + s**2)*(-3 + 4 - 2). -888*s**4 Expand (-2*t**2 - 3*t**3 + 2*t**2)*(-6978*t - 7454*t + 15052*t). -1860*t**4 Expand (-5*l**2 + 6*l**2 - 3*l**2)*(
{ "pile_set_name": "DM Mathematics" }
*3 - 61*k**3*y + 14*k**2*y**2 + 16*k*y**3 + 3*k*y + 40*y**3 - y**2 wrt y. 12*k**3 + 96*k + 240 Find the second derivative of n**3*q**2 + 2*n**3 + 2*n**2 - 94524*n*q**3 - 2*n*q + 2138*n wrt q. 2*n**3 - 567144*n*q What is the third derivative of -237219*r**4 - 2318*r**2 - 10? -5693256*r Find the second derivative of -183*b*f**3 + 1093*b*f**2 - 100*b*f + 115*b - 28*f wrt f. -1098*b*f + 2186*b Differentiate 5*b**2*i - 323*b**2 - b*i - 14*b + 41350*i with respect to b. 10*b*i - 646*b - i - 14 What is the third derivative of -151302*l**5 - 3*l**2 - 412*l + 7? -9078120*l**2 What is the first derivative of 2*c*r**3 - 13*c*r**2 + 687*c*r - 7*c - 1157214*r**3 wrt c? 2*r**3 - 13*r**2 + 687*r - 7 What is the first derivative of 3232*i**3*s**2 - 17*i**3*s*w + i**3*w - 17*i**3 + i*w - 25*w wrt s? 6464*i**3*s - 17*i**3*w What is the third derivative of 9*n**6 + 34674*n**5 - 715633*n**2? 1080*n**3 + 2080440*n**2 What is the second derivative of 3*l**2*n**3 + 9398*l**2 + 33*l*n**3 - 3*l*n**2 + 178*l*n wrt l? 6*n**3 + 18796 Differentiate 14652*o**3 + o**2 + 64777 with respect to o. 43956*o**2 + 2*o Find the first derivative of -1099273*f + 57644 wrt f. -1099273 Find the second derivative of 20*o**5 - 27*o**4 + 13*o**2 - 69*o + 172. 400*o**3 - 324*o**2 + 26 What is the first derivative of -23940*x**4 - 373611? -95760*x**3 What is the third derivative of -122896*j**3 - 31*j**2 - 6576*j + 1 wrt j? -737376 What is the third derivative of -476486*m**3 - 9*m**2 - 8*m + 7 wrt m? -2858916 Find the second derivative of -2691364*k**3 + 24037*k - 4 wrt k. -16148184*k Find the third derivative of 865*d**3*s**3 - 29*d**3*s**2 - 2*d**2*s**2 - 50*d**2 + 10*d*s**3 + 2*s**2 wrt s. 5190*d**3 + 60*d What is the third derivative of -3*d*w**3 - d*w**2*z + d*z**2 + w**4*z**2 + 142*w**4 + w*z + 2*z**2 + 1789 wrt w? -18*d + 24*w*z**2 + 3408*w What is the first derivative of 6*o**2*v**3 - 2*o**2 - 118140*o + 242*v**2 - 27*v wrt v? 18*o**2*v**2 + 484*v - 27 Find the second derivative of -23*o**3 - 3*o**2 - 51*o + 162. -138*o - 6 What is the third derivative of -1972*z**3 + 6154*z**2 + 2? -11832 Find the second derivative of -7402*f**2*t**2 - 18*f**2 - 4*f*t**2 + 8831*f*t wrt t. -14804*f**2 - 8*f Differentiate -9045*d**2 + d + 384525 wrt d. -18090*d + 1 What is the first derivative of 2*h**3*k**2 + 1357*h**3*k - 4*h**3 - 1889*h**2 - 10*h*k - 2*h wrt k? 4*h**3*k + 1357*h**3 - 10*h Find the second derivative of -6944*p**3 - 5*p**2 - 3907*p. -41664*p - 10 Find the first derivative of -n*s**2 - 15733*n*s - s**2 - 17*s - 267 wrt n. -s**2 - 15733*s Find the third derivative of -20*k**4 + 22888*k**3 - 5515*k**2 - 72*k. -480*k + 137328 Find the second derivative of 5*i**5 - 117754*i**2 - 609721*i wrt i. 100*i**3 - 235508 Find the second derivative of 3366*h**3 - 38*h**2 - 1228*h + 112. 20196*h - 76 Find the third derivative of -373285*k**3*q**2 + k**2*q + 2*k**2 + 60345*k*q - q**2 wrt k. -2239710*q**2 What is the third derivative of -7*b**5 - 3489*b**4 + 3*b**3 - 118*b**2 - 1953? -420*b**2 - 83736*b + 18 What is the derivative of 771024*h - 1001716? 771024 What is the second derivative of 665844*c**2 + 2621*c + 7 wrt c? 1331688 Differentiate -77935*l**3 + 51257 with respect to l. -233805*l**2 What is the first derivative of 6*k**4 + 2*k**3 + 160*k**2 + 16*k + 504208 wrt k? 24*k**3 + 6*k**2 + 320*k + 16 Find the first derivative of h**3*l**3 + 210870*h**3*l**2 - 1186634*h**3 wrt l. 3*h**3*l**2 + 421740*h**3*l What is the third derivative of -42570*x**5 - 2*x**4 - 68277*x**2 wrt x? -2554200*x**2 - 48*x Differentiate 7*u**2*w**2 + 627329*u**2 + 137*u*w**2 with respect to w. 14*u**2*w + 274*u*w Find the second derivative of -135266*t**2 + 534*t - 20 wrt t. -270532 What is the first derivative of -118*a**4 + 11*a**3 + 149*a + 2363615 wrt a? -472*a**3 + 33*a**2 + 149 Find the second derivative of 49347*l**3*n**2 - 213*l**3*n + l**2*n**3 + 104*l*n wrt n. 98694*l**3 + 6*l**2*n Differentiate -570*q**2 - 91*q - 2688. -1140*q - 91 Find the second derivative of -18860*z**4 + 5*z**3 - z**2 - 249743*z. -226320*z**2 + 30*z - 2 What is the derivative of 16*f*y**2 - 2*f*y - 1850*f + 17*y**2 + 3*y wrt y? 32*f*y - 2*f + 34*y + 3 Find the third derivative of 786*n*w**3 - 49*n*w**2 + 188*n*w - 78*w**6 wrt w. 4716*n - 9360*w**3 What is the derivative of -1055156*d**2 + 2*d + 615066? -2110312*d + 2 What is the derivative of -p*v**2*w - 68*p*w - 124*p - 5477*v**2 - v*w - 4*w wrt p? -v**2*w - 68*w - 124 Find the third derivative of 1531*d**5 + 16*d**3*l + 83*d**2*l - 3*d**2 + 106 wrt d. 91860*d**2 + 96*l Find the second derivative of j*w**3 + 7*j*w + 25*j - 38673*w**3 + 68*w + 3 wrt w. 6*j*w - 232038*w Find the first derivative of -73966*a*n**2 + 1283*a - 8 wrt n. -147932*a*n Find the first derivative of 199387*i**3*u*x + i**3 + 6*i**2*u + 9*i**2 + 35*i*u - 5*u*x + 7*u wrt x. 199387*i**3*u - 5*u What is the derivative of 8*f**3*y*z - 21914*f**2*y**2*z + 61592*y**2*z - 2*y**2 wrt f? 24*f**2*y*z - 43828*f*y**2*z Find the third derivative of -2*r**3*s*w**3 + 20735*r**3*s*w**2 + 4*r**2*s*w**3 + 7*r**2*w**2 + 119*r*w**3 wrt r. -12*s*w**3 + 124410*s*w**2 What is the derivative of 7*l**2*m*r + 8*l**2*m*u + 2*l**2*r*u + 6*l**2*r - 26*l**2 - 4*l*r + 248*m*r*u - 6*r*u wrt m? 7*l**2*r + 8*l**2*u + 248*r*u What is the first derivative of -282*x**3 + 21*x**2 - 43*x - 1902436 wrt x? -846*x**2 + 42*x - 43 What is the second derivative of 441*u**3*y - 59*u**3 + u**2*y + 2*u**2 - 63*u*y + 3*u + 2*y wrt u? 2646*u*y - 354*u + 2*y + 4 Find the second derivative of -2*c**2*f - 746813*c**2 - 16*c*f + 2033*f wrt c. -4*f - 1493626 Find the first derivative of m**3 + 9137*m*z**2 + 2*z**2 + 141178*z wrt m. 3*m**2 + 9137*z**2 What is the derivative of -6*p*t**2 + 28912*p*t - 649312*p wrt t? -12*p*t + 28912*p What is the second derivative of 11*r*t**4 + 2*r*t + 341*r + 2*t**5 + 566*t**3 + 21*t wrt t? 132*r*t**2 + 40*t**3 + 3396*t What is the third derivative of 2*i*n**2*q**2*v**3 + 14914*i*n**2*v**3 + 9*i*n**2 - 2*i*n*q**2*v + i*n*v**2 + n*q + q**2*v**2 wrt v? 12*i*n**2*q**2 + 89484*i*n**2 Differentiate -7*n**3 + 5871*n**2 - 55711 with respect to n. -21*n**2 + 11742*n Differentiate a**2*r - 132*a**2 + 3*a*r - 8*a + 3055511*r wrt a. 2*a*r - 264*a + 3*r - 8 What is the third derivative of 3*f**4 + 5974*f**3 - 316*f**2 - 72? 72*f + 35844 Find the second derivative of 4*w**3 - 1776*w**2 + 22*w + 707 wrt w. 24*w - 3552 What is the first derivative of -d**2*n**2 - 92805*d*n**3 + 270*n**3 + 59*n**2 - 1 wrt d? -2*d*n**2 - 92805*n**3 Differentiate -6*i*j*x - 3549*i*x + 2*i + 572*j + 4 with respect to x. -6*i*j - 3549*i What is the second derivative of 2*p**3 + 27734*p**2 - 5*p + 7357 wrt p? 12*p + 55468 Find the second derivative of -2977*i**2*z**3 + 30*i**2*z + 2*i**2 - i*z**3 - 76*i*z - 71*z**3 - 22*z wrt z. -17862*i**2*z - 6*i*z - 426*z What is the third derivative of a**2*c**4 + 2*a**2*c**2 - 3*a**2*c + 21*a*c**4 - 196*a*c**2 - 124*c**4 wrt c? 24*a**2*c + 504*a*c - 2976*c What is the third derivative of 11*b**4*r**2 + 1209*b**3*r**3 + 2*b**3 + 2*b**2*r**3 - b**2 + 13352 wrt b? 264*b*r**2 + 7254*r**3 + 12 Find the second derivative of -281*n*v**3 - 14*n*v + n - 16*v**3 - 996*v wrt v. -1686*n*v - 96*v Differentiate -122*h**3 - 1345*h**2 - 620616 with respect to h. -366*h**2 - 2690*h What is the third derivative of 52965*b**6 - 14*b**5*m**2 - 7*b**2*m**2 + 2*b**2*m + 131939*b*m**2 wrt b? 6355800*b**3 - 840*b**2*m**2 Differentiate -7302*k**3 - 2*k**2 - 94*k + 480161 with respect to k. -21906*k**2 - 4*k - 94 Find the third derivative of 125179*y**6 - 985*y**2 - 26*y. 15021480*y**3 Find the second derivative of -52*k**5*y + 1550*k**2*y + 4*k**2 - 569*k*y + k - 3*y + 1 wrt k. -1040*k**3*y + 3100*y + 8 What is the third derivative of 200*i**5 + 195*i**3 + i**2 + 43117? 12000*i**2 + 1170 What is the first derivative of -45526*s - 112966 wrt s? -45526 Find the first derivative of -17*h*m**4 - 4*h - 25032*m**4 + 238079 wrt m. -68*h*m**3 - 100128*m**3 Find the third derivative of 56500*q**6 + 358352*q**2. 6780000*q**3 What is the second derivative of -6308*c**4 - 2*c**3 + c**2 - 244*c - 19? -75696*c**2 - 12*c + 2 Differentiate 56*d*k - 2*d*m**2 - 780*d - 657095*k*m**2 - m**2 wrt m. -4*d*m - 1314190*k*m - 2*m What is the third derivative of -75541*m**3*v - 637
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
8233*-110 6580.563 Calculate -48919*0.1. -4891.9 Product of -10874124.5 and -0.2. 2174824.9 3296 times 128060 422085760 0.07*1414561 99019.27 What is the product of -0.006 and 96263? -577.578 180210*31 5586510 Work out 1.5 * -880.34. -1320.51 What is 12.7 times -0.57834? -7.344918 Multiply 0.001 and -23921936. -23921.936 Work out 13 * -666.031. -8658.403 Calculate -89*0.01. -0.89 What is -6 times -11505713? 69034278 Product of 25266 and -267. -6746022 What is the product of -486 and 270815? -131616090 Work out -2204.25 * -21.1. 46509.675 -198*3.83229 -758.79342 Multiply -15 and -10425046. 156375690 -454*33.0777 -15017.2758 Calculate 3.9*47509. 185285.1 1.895208 times -0.05 -0.0947604 3 times -1315164 -3945492 -36.7845 * 222 -8166.159 -4779 * 0.09312 -445.02048 Product of 198.289 and 5.28. 1046.96592 105.7 times -39665 -4192590.5 Multiply -4 and -16.18183. 64.72732 What is 1 times -6456.1? -6456.1 Calculate 587825*-232. -136375400 -1733860 * 0 0 Work out -0.501 * -1407.5. 705.1575 -3 times -143747952 431243856 Calculate -0.139712*20. -2.79424 Product of 357376 and 0.39. 139376.64 Product of 1883 and -189.54. -356903.82 1.5164 * 529 802.1756 Product of 4847.32108 and 0.4. 1938.928432 Work out 0.07778 * 1048. 81.51344 Product of -0.18 and -0.3357535. 0.06043563 Work out -3102956 * -0.11. 341325.16 5*82664843 413324215 1.244 * -24.8 -30.8512 Work out 129 * -73233.3. -9447095.7 What is the product of -0.22 and 0.005812? -0.00127864 -15*-1125.34 16880.1 Work out 710 * -750. -532500 -3.2961 times -867 2857.7187 3374173*-1 -3374173 Multiply 5204.848 and -114. -593352.672 What is the product of -0.99912893 and -3? 2.99738679 What is the product of 0.4 and 35074467? 14029786.8 -210 * 30046 -6309660 525 times 781 410025 Product of 1093 and -12300.08. -13443987.44 -135285 * 0.139 -18804.615 Work out 191392 * -1884. -360582528 Multiply -0.5 and -2860.13078. 1430.06539 Work out 157928 * 20.03. 3163297.84 Work out -33 * 1697.871. -56029.743 Multiply -2 and -4014.8104. 8029.6208 Multiply -7402 and -462. 3419724 What is 11.0061 times -0.636? -6.9998796 Product of 0.5 and -13113200. -6556600 Multiply -446535 and -12. 5358420 Multiply 3.7 and -888767.8. -3288440.86 -2.4276 * -3.3 8.01108 Product of 93 and 14202.2. 1320804.6 Calculate 2.1*-1.368101. -2.8730121 -7777 * -223 1734271 What is 66101.24 times -182? -12030425.68 What is -0.005831 times -96.73? 0.56403263 Calculate -2526429*56. -141480024 What is the product of 2.08 and 3010.3? 6261.424 1664*-22933 -38160512 Work out 334 * 0.0034791. 1.1620194 Multiply 0.05590996 and -0.07. -0.0039136972 0.49*14943.5 7322.315 7498.8 times 0.823 6171.5124 -162.6 times -2682 436093.2 What is the product of -17.29108 and 0.13? -2.2478404 Multiply 0.4 and -168.3129. -67.32516 Calculate 119995*2069. 248269655 What is 0.2 times -11.909353? -2.3818706 Work out 80061 * -98.36. -7874799.96 What is the product of 0.04 and 0.73392156? 0.0293568624 What is the product of 23 and 210921? 4851183 What is the product of 293.3 and 0.494? 144.8902 What is -107244 times -18.7? 2005462.8 0.50264*9.92 4.9861888 -1787.76378*0.1 -178.776378 497068*0.063 31315.284 Calculate -38*-0.896059. 34.050242 What is 30202883 times 10? 302028830 Product of 362200 and 40.2. 14560440 Multiply 9073 and -2.99. -27128.27 Calculate -55804.157*-0.4. 22321.6628 Multiply -852789 and -0.2. 170557.8 Calculate -193787*-1629. 315679023 What is the product of 1246 and -0.10612? -132.22552 Multiply -132.143 and -1.495. 197.553785 8 * 0.6769388 5.4155104 Calculate -8.308686*5. -41.54343 What is -22420426 times -4? 89681704 -2092.67 * -0.2 418.534 517 times 1.924727 995.083859 36 times -1020953 -36754308 What is the product of 2446 and 4909? 12007414 20190316.4*-4 -80761265.6 Calculate 20821*4725.8. 98395881.8 -9653.085*-1 9653.085 16*-0.1601143 -2.5618288 Multiply -2.0165 and -304.86. 614.75019 5594.8 * -17 -95111.6 Work out 5 * -198370291. -991851455 -99.224 * -279 27683.496 -905267*0.13 -117684.71 Multiply 3479549 and 64. 222691136 What is the product of -2663 and 100.6? -267897.8 -48.989*0.165 -8.083185 What is the product of 171693 and -156? -26784108 Multiply 5390199 and -22. -118584378 Work out 8677 * 8.96. 77745.92 Product of -440 and 5237. -2304280 Multiply -114 and -660.14. 75255.96 Product of -241653.92 and -2. 483307.84 107026 * 0.0611 6539.2886 51137166 times -3 -153411498 What is the product of 13.14 and 24946? 327790.44 Work out -293869 * 294. -86397486 Calculate 0.53091*21. 11.14911 Calculate 27*-0.0597193. -1.6124211 Calculate -0.05*-36.07396. 1.803698 Multiply 58 and -1.803194. -104.585252 Work out 217344 * 1936. 420777984 Product of 1 and -0.04950956. -0.04950956 Calculate 0.02*66220. 1324.4 0.4420738 times 0.08 0.035365904 Product of -7 and 0.74612832. -5.22289824 85126613 * 2 170253226 Multiply -0.1473 and -0.14778. 0.021767994 185.5 * 1.42 263.41 Multiply 3.1 and -92859. -287862.9 0.2 * -3246402 -649280.4 What is 949.86 times -0.0357? -33.910002 Calculate -104*2865875. -298051000 -0.11 times -1.182686 0.13009546 117113890*-0.4 -46845556 Work out 157251.37 * -0.2. -31450.274 -58.3673 * 0.5 -29.18365 Multiply 0.69138 and 123. 85.03974 -0.02961*13.39 -0.3964779 What is the product of 4.03012 and -202? -814.08424 -13 * 258768 -3363984 Multiply -225.55 and -60.6. 13668.33 18484*2.1 38816.4 Calculate 13.015*10.52. 136.9178 What is -881.5 times 17.61? -15523.215 What is -15.181 times 1866? -28327.746 What is the product of -10.71313 and -1.77? 18.9622401 What is the product of -0.5 and 11190258? -5595129 5*98696656 493483280 -64098.69 * 0.3 -19229.607 Calculate -0.986*26. -25.636 Calculate -0.62*-1186.98. 735.9276 Product of 123 and 70566. 8679618 Calculate -31*4906239. -152093409 1815297*-0.09 -163376.73 680.4 * -0.006292 -4.2810768 What is 9363595 times 18? 168544710 0.0525*0.0646 0.0033915 Multiply -0.17 and -1426.669. 242.53373 -7888 times -6.0037 47357.1856 -745*-0.359904 268.12848 Calculate -809*286.011. -231382.899 Multiply 922713599 and 0.2. 184542719.8 What is -8 times -1.280065? 10.24052 -2386*-4104 9792144 5.9 * 1.49015 8.791885 Calculate -67*-61.8035. 4140.8345 Calculate 473*-700459. -331317107 Multiply 401.45732 and 0.2. 80.291464 4378367*4 17513468 -10430*0.039 -406.77 0 times -1.8175241 0 Multiply -22594 and -0.01434. 323.99796 62 * 0.11615 7.2013 -336768 times -1.63 548931.84 Multiply -17.6587 and -3. 52.9761 -0.062344045 times 8 -0.49875236 Product of 0.05408 and -0.171. -0.00924768 Multiply 0.4 and 1919.5476. 767.81904 0.1 * -4144598 -414459.8 What is -0.77414 times -0.93? 0.7199502 Product of 120720 and 16. 1931520 Product of 12732453 and -3. -38197359 Product of 6.1 and 198249.4. 1209321.34 Multiply 0.807 and -0.81942. -0.66127194 Work out 986 * -912. -899232 Product of 21 and -1.1121086. -23.3542806 Product of -0.2204 and 2770. -610.508 What is the product of -79.82 and -7.8? 622.596 -329694 times -1028 338925432 Calculate 546.9*1619. 885431.1 Product of -148900 and 214. -31864600 Work out -5.942796 * 97. -576.451212 Work out 12 * 247145.1. 2965741.2 What is 336.348 times -37? -12444.876 Work out -109.366 * 80. -8749.28 28*-268793 -7526204 What is -26 times -8.728? 226.928 What is the product of 142 and 1693021? 240408982 Multiply 15293 and -813. -12433209 -1593*-62756 99970308 Work out -0.5 * 1057514. -528757 -64.2936 * 1.499 -96.3761064 -656506 times 73 -47924938 What is -47.9 times 3.65895? -175.263705 -4.993 * -344 1717.592 Product of 3159.5456 and 0.3. 947.86368 Calculate 5.3336*-676. -3605.5136 -9915769 times -4 39663076 7 * 5319624 37237368 0.4 * 964969.5 385987.8 Work out -705 * 5.0778. -3579.849 What is 1 times 544278? 544278 -154 * -4715447 726178838 Multiply 0.00256 and 56204. 143.88224 205 times 0.16344 33.5052 375868 * 15 5638020 -0.1 * 183763466 -18376346.6 -7 times -131690.67 921834.69 Multiply 2.4 and 869924. 2087817.6 -5*-661844 3309220 What is the product of 109.9 and -111460? -12249454 Multiply 9336.59 and -0.073. -681.57107 5*-79303.549 -396517.745 Multiply 88331.04 and 0.5. 44165.52 What is -65 times 0.369084? -23.99046 6749877*9 60748893 367*-13434 -4930278 Calculate -1444448*-27. 39000096 Product of 10.90356 and 0.05. 0.545178 8797 times 500 4398500 What is the product of 0.22074394 and 0? 0 -57569.3 * -215 1
{ "pile_set_name": "DM Mathematics" }
2)/46)/((-5)/(-40)). 2/23 (-55)/(-19) + -3 + (-1386)/(-171) 8 Evaluate 25/(-1000)*-8*1*-3. -3/5 What is ((-41280)/(-120))/43 - ((-274)/34)/(-1)? -1/17 Calculate (2/8)/((-36)/90). -5/8 What is the value of (-15)/((-600)/16) - -56*3/(-270)? -2/9 What is the value of 170/5 - (-3 - -21)? 16 Evaluate 2/(12/(-14) - 18231/(-2478)). 4/13 Calculate (338/65)/((-4)/(6 + 4/1)). -13 Evaluate (-25 - -7) + ((-108)/10 - (-30)/(-150)). -29 What is the value of 9720/3780 - (20/(-14) + 1)? 3 -22 + (-5425)/(-105) + -29 2/3 Evaluate 0/21 + 4*2 - (-292)/(-36). -1/9 What is 20956/682 - 6/(-25 + 5 + -2)? 31 What is 1/(-24)*-3 - (445/40 + -2)? -9 What is ((9/135)/((-2)/(-24)))/((-6)/(-90))? 12 ((-6)/16 - 175/600) + (-12)/(-18) 0 What is 4 + (-3 - 42)/(-9)? 9 What is the value of 114/7942*11*(4/3)/(-4)? -1/19 Evaluate (18/12 - 0)*(-56)/(-6). 14 What is (66/(-12) + 3)*(-6 - 306/(-45))? -2 What is the value of (3/10*24)/(1138/2845)? 18 20/72 - -13*(-11)/286 -2/9 Evaluate (-735)/39 + -122 + 141. 2/13 What is 1760/144 + (-2)/9? 12 What is 5797/2090 - (-84)/(-30)? -1/38 Evaluate -14 + (-5 - -2 - -19). 2 Calculate (22/(-33))/((-21)/(-18)*-2). 2/7 Evaluate 819/(-102) - (-594)/20196. -8 What is (250/10)/5 + -2? 3 ((-2669)/(-240210))/(1/(-3)) -1/30 Calculate (6/(-4))/((-59)/590). 15 What is the value of (-9 - 2010/(-225))*-101 + -7? -4/15 What is the value of (17/34)/(52/8 + -7)? -1 Calculate 6/12*11/22. 1/4 What is ((-341)/(-44) + -8)*(-8)/(-65)? -2/65 What is the value of ((-23870)/(-748) + -32)*(-4)/3? 2/17 What is 3/(7*30/(-280))? -4 Evaluate 84/8*(-8)/56. -3/2 What is ((-3)/(-16)*1)/((-1035)/60 + 17)? -3/4 Evaluate (-169 - -159) + ((-36)/2)/(-3). -4 What is (-2)/2*-77*4/(-28)? -11 What is the value of (-1 - (-8)/(-12))*(-17 - 288/(-16))? -5/3 What is the value of (-3 - 19/(684/40)*-1)*-3? 17/3 What is the value of ((-19)/((-228)/8))/((-35)/(-30))? 4/7 What is -16*(-47 + 12507/264)? -6 Calculate (3/(-27))/(28 - 5250/189). -1/2 What is ((-9)/12 - (-135)/(-180))/((-7)/(-14))? -3 Calculate (-3 - (-16)/6)/(4 + (-464)/120). -5/2 (222/84 + 176/(-154))*14 21 What is ((-1)/(2/(10/5)))/((-4)/44)? 11 Evaluate (-2184)/234 - 2/3. -10 Evaluate 226/(-452)*1/2. -1/4 What is the value of (-3 - (58 - 1))/((-16)/(-4) - 2)? -30 724/36 - 1020/918 19 What is 313 - 292 - (-214)/(-10)? -2/5 What is -3*143/78*2? -11 Evaluate 962/4420 - (-1)/(-2) - (-6)/(-51). -2/5 What is the value of (0 - (-112)/(-32))/(((-28)/8)/(-7))? -7 What is the value of (-99)/3 + 1 + (128 - 116)? -20 Evaluate 8/12*3/72*9/(-2). -1/8 Evaluate (208/(-64))/((-2)/(-8)). -13 Evaluate -4 - 2*(-639)/324. -1/18 Evaluate (-45)/2673 - (2/4)/(407/(-74)). 2/27 Evaluate (-9 - 5)/(861/738). -12 Evaluate (-250)/225 - (-1704)/(-216). -9 Evaluate ((-110)/75)/(148/(-444)). 22/5 What is the value of 4*-18*(-30)/2700? 4/5 What is the value of 39 + (-81)/27 + -12? 24 What is (-8 - (-4 + -4 + 7)) + 20? 13 Evaluate (-3*1 - 58/(-18)) + (-18)/(-81). 4/9 What is the value of (0 + 6)/(((-8)/(-8))/((-3)/(-1)))? 18 -8 + (15 - 50/6) + 2/4 -5/6 Evaluate 70/(-6) + (-1 - (-12)/18). -12 What is the value of 8/(-52) - (-105)/91 - 228/(-12)? 20 Calculate 74 + -75 - (-3 + 9). -7 Evaluate -1 + ((-40)/(-20))/((-188)/(-98)). 2/47 Calculate (2640/(-480))/((0 + -6)/3). 11/4 (6/(-9))/((10/45)/(3/24)) -3/8 8/16*36/(-99) -2/11 Evaluate 1 - 19/((-399)/(-462)). -21 Evaluate ((-2898)/72 - -14) + 23. -13/4 Calculate ((-11872)/(-24))/(-28) - -17. -2/3 What is the value of ((-46)/161)/(18/28) + 1/(-18)? -1/2 6 - ((-5 - -1) + 5/(325/689)) -3/5 1/(-5)*15/(-15) 1/5 Evaluate (-1 + (-7 - -14))*10/12. 5 Evaluate (426/(-923))/(1/(-26)). 12 ((-184)/20 - -10) + 54/(-5) -10 Calculate -7 + (-33)/1287*0 + -1 + 6. -2 What is (-471)/(-314)*(-60)/63? -10/7 What is (4/7)/(42/(-1176)*-20)? 4/5 (-11*(-13)/(-858))/(4/88) -11/3 Evaluate (-5)/((-30)/(-48)) + 19 - 14. -3 What is 15/10 - 54/(-324)? 5/3 What is the value of -5*658/490 - 25/(-35)? -6 -15 + (38451/987 - 2/(-47)) 24 What is the value of (54/513 + (-67)/95)/(-2 - -1)? 3/5 Calculate (-5)/6*(-120)/50 + 6. 8 Evaluate 4 + 16/3*(-465)/(-124). 24 What is -1*(-9)/(-18)*(8 - -2)? -5 0/(32*(-17)/(-272)) 0 Evaluate (-8)/(-50) - 419874/(-19225). 22 Calculate (-29)/(-57) - 284/426. -3/19 (-28)/(-32) + ((5 - 4)*3)/(-4) 1/8 Evaluate (-4968)/184 + 12/1 + 0. -15 What is the value of 6/(-4)*(-4 - 46/(-12))*16? 4 Evaluate 202/18 + -4 - (5 - -2). 2/9 Evaluate ((-100)/12 + 9)/((-82)/(-78) + -1). 13 What is 2*(-140)/(-200)*-15? -21 What is the value of 194/124 - (-1298)/(-20119)? 3/2 Calculate 1/5*-185 + 26. -11 Calculate (-440)/33 + 18 + (-2)/3. 4 Calculate ((-63)/(-126))/(-2 - 14/(-8)). -2 What is 1030/(-35) + (-48)/(-112) + 6? -23 What is ((4/40)/(2/(-4)))/((-923)/(-923))? -1/5 Evaluate (-282)/(-540) + (-27)/(-450)*-5. 2/9 Calculate 0 + 0 - (-12)/(-36)*-2. 2/3 What is 10/3*22935/(-3475)? -22 What is the value of ((-456)/(-1596))/(2/(-84))? -12 Calculate (-7)/((-21)/4)*(-1815)/(-242). 10 What is (2235/(-105) - -12) + (4/(-14))/(-1)? -9 Evaluate 238/2964 + (-228)/(-6498). 3/26 (-8*(-14)/(-28))/(8/14) -7 9 + (12 + -3 + -5 - 43) -30 What is the value of (-47)/(-40) - 93/248? 4/5 What is the value of 87/464*2/(-3)? -1/8 What is the value of ((-24)/(-20))/(4/120*-3)? -12 Evaluate (-3 + ((-4)/4 - 0))*(4 - 1). -12 What is 1992/336 - 1*1/(-14)? 6 Calculate (-6654)/1109 - 8*2. -22 Evaluate ((-87)/(-2523))/(2/4). 2/29 Calculate 3 + 25/(500/(-16)). 11/5 Evaluate (-7 - 0) + ((-756)/(-27) - 23). -2 Evaluate 5*(-3 + 2)/(((-91)/(-2))/13). -10/7 Calculate (-1 + 7 + -51)/(-3). 15 What is 36/140 - ((-317)/14265 - (-2)/9)? 2/35 What is the value of (-6760)/1050 + 6 - (-28)/49? 2/15 Calculate (-2)/(-39) + ((-70812)/(-5616))/(-7). -7/4 2*8/((-448)/42) + -1 + 3 1/2 (6 + -4)*13/(-364)*2 -1/7 (-63)/27*(-12)/(-28) -1 Evaluate ((-828)/1518 - 334/(-88))/(1/4). 13 What is the value of 4/(-4 - 4)*-8 - (-720)/(-135)? -4/3 What is the value of (-2)/(-20) - (-144)/(-240)? -1/2 Evaluate (-3)/(-33)*0/(-3). 0 What is (4/(-14))/((-204)/(-238)*(-35)/(-15))? -1/7 Evaluate (35/((-4200)/40))/(1/42). -14 What is the value of ((-11)/((-2090)/20))/(12/(-8) - -2)? 4/19 What is the value of 208/(-65) + (-12)/(-15)? -12/5 What is (-7 - -9)/((-171)/(-27) - 7)? -3 (7/(-3))/((-682)/132 - -4) 2 What is -6 + (-232429)/(-4387) + -47? -2/107 Calculate 2/16 + 6669/(-2736)*(-10)/(-3). -8 What is (12/10)/(9*(-17)/1275)? -10 What is 198/110*3/(-9)? -3/5 Calculate (1/12)/((-54)/(-8) - 7). -1/3 Evaluate 158/(-395) + 126/165. 4/11 What is 7 + (-516)/80 + 2 + 18/(-10)? 3/4 What is (2/8)/(602/(-1720))? -5/7 ((-1440)/1320)/(1/88*-6) 16 What is ((-15)/40)/((-261)/116)? 1/6 Calculate (-1700)/(-125)*58/(-232). -17/5 What is the value of (22144/1730)/(28/10)? 32/7 Evaluate (8/(-28))/(((-1885)/(-35))/(-13)). 2/29 1 - (30/(-24) + (-513)/(-36)) -12 Evaluate -21 + 80/(-65) + 22. -3/13 Calculate (-410 - -424) + (-44)/3. -2/3 -10*(-99)/(-660) - (-41)/27 1/54 Evaluate (23/(-2) - 1) + 178/356. -12 Calculate -13*((-6149)/169 - -35). 18 (-95 - 1)*(52 - (-6280)/(-120)) 32 What is the value of (-2047)/(-356) + 255/12? 27 Calculate (1896/(-24332))/(6/(-22)). 2/7 What is 7/35 + ((-246)/(-360) - 6/8)? 2/15 What is the value of ((-9)/(-24))/(4/(-384)*-6)? 6 (24/64)/(11/(-968)) -33 What is the value of (-77)/(-56) + -2 - (-252)/4704? -4/7 Evaluate (20 - 3834/477) + (-11 - 1). -2/53 Calculate (10*1/7)/(352/924). 15/4 Evaluate -9 + 0 + ((-5)/(-10) - (-140)/(-40)). -12 (156/2)/(225/(-30))*45/(-18) 26 Evaluate 216/612 + 1764/204. 9 Calculate (6/9)/(-2)*(243/(-18) + 15). -1/2 What is the value of ((-5)/87)/(-38 - (-5129)/138)? 2/29 Calculate (-3 - 24/(-8)) + -2 - (-18)/(-6). -5 Evaluate 48/(-84) + (-4)/56*258. -19 Evaluate -6*27/12 + (-90)/(-36). -11 What is the value of (-555)/(-27) + ((-4)/(-9) - 0/4)? 21 -9 - (435/(-30) - -15)*-8 -5 What is the value of (406/84 + -4)*(-9)/30? -1/4 What is (1 - (-14)/(-20)) + -49*16/10080? 2/9 ((-6)/8 - 146/584) + (-7)/1 -8 Calculate (-3 - (-2 + 0)) + (16 - (-7 + 11)). 11 What is -42*(9 + (-925)/100)/(3/8)? 28 Evaluate -11 - -25 - 7 - 14. -7 2/(41/(19516/280)) 17/5 Calculate (10 + 505/(-50))*275/(-10). 11/4 -4 + (1239/154 - 8)*92 2/11 What is (5 + (-665)/84 + 3)*16/(-6)? -2/9 Calculate (21 - 1) + 14/(-2) + -29. -16 Evaluate (-4655)/8550 + 12/27. -1/10 4/(-34) - (2/(-4) + (-12501)/918) 14 What is the
{ "pile_set_name": "DM Mathematics" }
p**2 Expand (12*x + 11*x + 8 - 21*x)*(-2 - 12 + 7). -14*x - 56 Expand (-11853*x + 35552*x + 3798 - 11852*x - 11849*x)*(0*x**3 + 0*x**3 + 2*x**3). -4*x**4 + 7596*x**3 Expand (-3*f**2 + 2*f**2 + 0*f**2)*(2*f**2 - 2*f + 2*f) + (3 - 3 - 7*f)*(-476*f**2 + 476*f**2 + 29*f**3). -205*f**4 Expand (8 + 0 - 3)*(2 + 0 + 0)*(-5 - 2 + 4)*(3*z**3 - 3*z**3 - 14*z**3). 420*z**3 Expand (-2*v**3 - v**3 + v**3)*(-2*v + 2*v + 2*v) + 8*v**4 - v**4 - 4*v**4. -v**4 Expand (3*q**3 - 6*q**2 - 46*q + 41*q - 4*q**3)*(8*q - 2*q - 2*q). -4*q**4 - 24*q**3 - 20*q**2 Expand -4*z + 105*z - 3 + 3 + (2 - 2 - 2)*(-21 + z + 21). 99*z Expand -4*o**5 + 2*o**5 + 0*o**5 + (o**3 + 4 - 4)*(0 + 0 + o**2) - 3*o**5 + o**4 - o**4 + (6*o + o - 5*o)*(-4*o**4 + o**4 + 2*o**4). -6*o**5 Expand (-107 + 12*b**4 + 107)*(-7 + 2 + 2)*(b + 1 - 1). -36*b**5 Expand (2*l - l + l)*(2 + l**2 - 2) + (1 - 1 - 2*l)*(5*l**2 - 5*l**2 + 4*l**2) + l**3 + 2*l**3 - 7*l**3 + 4*l**3 - 2*l**3 + 4*l**3. -4*l**3 Expand (-7 - 6*q + 7 + (-3 + q + 3)*(3 - 2 + 1) + 2*q + 2*q - 2*q + 2*q - 2*q - 2*q)*(1 - 1 + q). -4*q**2 Expand 3*j**4 + 86*j**3 - 86*j**3 - 29*j + (-3 - 2*j**3 + 3)*(-2*j + 1 - 1) + 0*j**4 + 0*j**4 + j**4 + 3*j**4 - 3*j**4 + 2*j**4 - 2*j**4 + 2*j**4 - 2*j**4. 8*j**4 - 29*j Expand (-j - 2*j + 4*j)*(63*j**2 - 43*j**3 - 63*j**2)*(-7 + 7 - 11). 473*j**4 Expand (-18*s + 5*s + 15*s - 282)*(2*s**2 + 5 - 5). 4*s**3 - 564*s**2 Expand (-8*p - 9*p + 11*p)*(1 - 1 - 2)*(4*p - 2*p + 2*p)*(4 - 3 + 2). 144*p**2 Expand (-10*c + 0*c - c)*(-31*c + 31*c + 2*c**3). -22*c**4 Expand (0 + 0 - 2*p)*(p**4 + 2*p**4 - 4*p**4) - p**5 + 4*p**2 - 4*p**2 - 2*p**5 + 6*p**5 - p**5 + 154*p**5 + 125*p**5 - 493*p**5. -210*p**5 Expand (-12 + 8 - 33)*(-3*y - 2*y + 2*y). 111*y Expand (4 + 5 + 6 - 1 + 8)*(12*y - 17*y - 31*y). -792*y Expand -1033*f**3 + 52*f**5 + 1033*f**3 + (-4 + 4 - 2*f)*(-f**4 + 6*f**4 - 3*f**4). 48*f**5 Expand -5*n**5 + 17*n**5 - 2*n**5 + (3 - 6 - 4)*(-n**5 - 3*n**3 + 3*n**3). 17*n**5 Expand -7*d**5 + 6*d**5 - 3 + 6*d**2 - d**5 + (-d**2 + 4*d**2 - d**2)*(-d**3 + 2*d**2 - 2*d**2). -4*d**5 + 6*d**2 - 3 Expand (-246*s**2 + 443*s**2 - 59*s**2)*(-2 - s + 2). -138*s**3 Expand (b + b - b)*(-57*b - 2762 + 2762) + (-2*b + 4*b - b)*(b + 1 - 1) - 3*b**2 + 6*b**2 - 4*b**2. -57*b**2 Expand (-4*f + 5*f + f)*(-f**2 + 4*f**2 - 4*f**2) + 2*f - f**3 - 2*f - 100*f**3 + 136*f**3 - 68*f**3. -35*f**3 Expand (-664*k**5 - 333*k + 333*k)*(-1 + 4 - 5 + (2 + 2 - 3)*(-2 + 1 + 2) + 0 - 1 - 1 - 1 + 0 - 1). 3320*k**5 Expand (13*t - 11 + 11)*(3*t**3 - 5*t**3 + 4*t**3) - 2*t**4 + 3*t - 3*t + (0*t - 2*t + 0*t)*(5*t - 3*t**3 - 5*t) + t**3 + t**4 - t**3. 31*t**4 Expand (3*w - 14*w + 3 - 79*w)*(4 + 0 - 2)*(2*w**2 + w**2 - 5*w**2). 360*w**3 - 12*w**2 Expand (255*x - 165*x + 119*x)*(3 - 4 - 1)*(3 - 1 - 3)*(1 - 1 + 2). 836*x Expand (-353*j + 7*j + 3822*j**2 - 3824*j**2)*(-6*j + j + 3*j)*(-j + 4 - 4). -4*j**4 - 692*j**3 Expand ((-4 + 0 + 6)*(-5 + 0 + 4) + 1 - 4 + 2)*(0 - 3 - 2)*(-2 + 2 + 11*s). 165*s Expand (5 - 1 - 2)*(138*y - 18*y + 226*y + 179*y). 1050*y Expand (-6*o + 3*o + 9*o)*(3*o - 8*o + 5 + 2*o). -18*o**2 + 30*o Expand -c**2 + 1 - 1 - 1 - 2*c**2 + 1 + (-2*c + 2 - 2)*(5*c + c - 5*c) - 2*c + 2*c - 2*c**2 + (0*c - 2*c - c)*(7*c - 2*c - 2*c). -16*c**2 Expand (-1 + 3 - 1)*(5*v + 9*v - 42 - 21*v). -7*v - 42 Expand (-u - 2*u**3 + u)*(116*u**2 + 121*u**2 - 251*u**2 + 19). 28*u**5 - 38*u**3 Expand (0*g + 3*g - 2*g)*(-7 - 113 - 34). -154*g Expand 0*l**3 - l**3 + 2*l**3 + (-2*l**2 + l**2 - l**2)*(3 - 3 + 2*l) - 6*l**3 - l**3 + 4*l**3 - 10*l**3 + 41*l**3 - 10*l**3 - 3*l**3 + 0*l**2 + 0*l**2. 12*l**3 Expand (21*w + 70*w - 16*w)*(-7*w + 5*w**2 + 7*w). 375*w**3 Expand ((0*z - z + 0*z)*(-z + z + z) + 1 + 2*z**2 - 1 - 3*z**2 + 2*z**2 - z**2)*(2*z**3 + z - z) + (11*z - 7 + 7)*(-6*z**4 - 3*z**4 + 2*z**4). -79*z**5 Expand (12499 - 12499 - 471*o)*(3*o - 2*o - 3*o) + 3*o - o**2 - 3*o + (-7*o + 2*o + 3*o)*(5 - 5 + o) - 3*o**2 + 2*o**2 + 0*o**2. 938*o**2 Expand 2*k**5 - k**5 + k**5 + (-2*k + 2*k - 2*k**2)*(-2*k**3 - 3*k + 3*k) - 3*k**3 + k**5 + 3*k**3 + 1 - 1 - k**5 - 59 + k**5 - 176*k**4 + 176*k**4. 7*k**5 - 59 Expand (0*v**3 + 0*v**3 + v**3)*(55*v - 31*v + 7 - 22*v). 2*v**4 + 7*v**3 Expand (1 - 1 - 2*o)*(-80 - 34 + 18) + 4*o - 7*o + 2*o. 191*o Expand (-141 - 134 + 298)*(3*m + m - 7*m + (-4*m - m + 4*m)*(-3 + 3 - 1)). -46*m Expand (201 + 69 + 47)*(-s**5 + 2*s**5 + s**5) - 8*s + 8*s - s**5. 633*s**5 Expand ((i + 0*i + 0*i)*(1 + 0 - 3) - 7 + 7*i + 7)*(3 - 1 - 3). -5*i Expand (-12*x + 20*x + 33*x)*(-2 + 4 + 0 + (2 - 1 - 2)*(-1 + 2 - 3)). 164*x Expand 13*l - 2*l - l - 8*l + 5*l + 5*l + (1 + 3 - 3)*(2*l + 3*l - 4*l) - 2 + 2 - l. 12*l Expand (43*d - 79*d + 108*d)*(28 - 19 - 17). -576*d Expand p - p - p**2 + 5*p**2 + 0*p**2 - 3*p**2 + (3*p**2 + 2*p**2 - 6*p**2)*(0 + 2 - 3) + p**2 - p + p + 4*p**2 - 3*p**2 + p**2 + 16 - 29 - 2*p**2 + 15. 3*p**2 + 2 Expand 4*v**2 - 4*v**3 - 4*v**2 - 5*v + 5*v - 4*v**3 + (-4*v**2 - v**2 + 6*v**2)*(0*v + 0*v + v) + 2*v - 2*v**3 - 2*v + v + v**3 - v. -8*v**3 Expand 653*q**5 + 218*q**5 + 285*q**5 + 377*q**5 + (4*q**2 + q**3 - 4*q**2)*(-q**2 - q + q). 1532*q**5 Expand (-37*h**2 + 32*h**2 + 107*h**2 - 1)*(-1 - 6 + 1). -612*h**2 + 6 Expand -149*s**2 + 528*s**2 + 2683*s**2 + 321*s**2 + (2 + 2*s - 2)*(-4 + 4 + 2*s). 3387*s**2 Expand (2*n - n - 2*n)*(-4*n**3 + 16*n**3 - n**3) + 0*n**4 + n**4 - 10*n**4 + (n - n - 2*n**2)*(n**2 - 5*n + 5*n). -22*n**4 Expand (-2*g + 0*g + 6 + 0)*(41 + 18 + 4). -126*g + 378 Expand (2*z - 4*z + 5*z)*((3 + 4 - 6)*(17 - 8 - 7) + 3 - 1 - 1). 9*z Expand (-2*x + 3 - 3)*(-6*x + 6*x + 20*x) + 0*x**2 + 0*x**2 - x**2. -41*x**2 Expand (2*q**3 - 4*q**3 + q**3)*(-3 - 2 + 3) + (-6*q - 3 + 3)*(2*q**2 + q**2 - 9*q**2). 38*q**3 Expand 2*j - 1 + 0 - j + (0 + 6 - 2)*(-2 + 3*j + 0*j + 0*j). 13*j - 9 Expand (-1967 + 970 + 1071)*(0 + 3 - 2)*(2*n**3 + 0*n**3 - 4*n**3). -148*n**3 Expand (-j - 3*j + 3*j)*(-21 - 21 + 22)*(-4 + 3 + 2)*(3*j**3 - j**3 - j**3). 20*j**4 Expand 0*q**4 + 0*q**4 + 2*q**5 + (2*q + q**5 - 2*q)*(0 - 2 + 1) + (40*q**4 + 5*q**2 - 5*q**2)*(2 + 8*q + 0 - q). 281*q**5 + 80*q**4 Expand (8*a**4 + 4*a**4 + a**3 - 25*a**4)*(0 + 2 + 3). -65*a**4 + 5*a**3 Expand y**4 - y**4 + 2*y**4 + (y**2 + 2*y**2 + 0*y**2)*(-2*y**2 + 3*y - 3*y) + 5*y**2 - 5*y**2 - 3*y**4 - 8*y**3 + 2*y**3 - 4*y**3 - y**4. -8*y**4 - 10*y**3 Expand (-10 + 4 - 8 - 15)*(0 + 8 + 5)*(3*s - s - s). -377*s Expand (3 + 1 - 3 - 6*o)*(-2 - 1 + 2) + 3*o + 4*o - 6*o + (0*o - 2*o + 3*o)*(-5 + 2 - 2). 2*o - 1 Expand (2 + 518*n + 477*n + 0)*(1 - 1 - 1). -995*n - 2 Expand (u**2 + 693*u**3 - 693*u**3 - 11*u**4 + 2)*(0 + 1 + 0). -11*u**4 + u**2 + 2 Expand (0 + 0 + 2*k)*(-3*k + 0*k + 2*k) - 3*k**2 + 4*k**2 + 0*k**2 + (-2 + 2 + 2*k)*(-18*k + 15*k + 119*k). 231*k**2 Expand -58*z**2 - 13*z**5 + 27*z**5 - 10*z**5 + 4 + z**5 - 4 + (2*z + 0*z - 3*z)*(-z**4 - 3*z**4 + 2*z**4). 7*z**5 - 58*z**2 Expand (12 - 10 + 80*t - 2)*(-3*t - 2 + 2*t + 5). -80*t**2 + 240*t Expand -m**2 + 3*m - 3*m + 0*m - m**2 + 0*m + (3*m**2 - m**2 - m**2)*(-1 + 1 - 1) + (0 + 0 + 2*m)*(-9*m - 17*m - 121*m). -297*m**2 Expand (2*x - x**2 - 2*x + (5*x - 4*x + x)*(-5*x + 4*x - 2*x))*(-10 + 10 - 7*x**3). 49*x**5 Expand (4 + 0 - 3)*(1 - 3*m + 0 - 2*m) + 0*m + 2*m - m + (-4*m + 0*m + 3*m)*(-3 - 3 + 0) - 7*m + 0*m + m. -4*m + 1 Expand -4*x + 4*x + x**4 + (-x**4 - 2*x**2 + 0*x**4 + 3*x**2)*(-1443 + 2887 - 1447). 4*x**4 - 3*x**2 Expand -7*q**4 + 2*q**4 - 2*q**4 + (85*q**3 + 160*q**3 - 157*q**3)*(2 - 2 - q) - 2*q**4 + 3*q - 3*q + (2 + 0 - 1)*(4*q**4 - 7*q**4 + q**4). -99*q**4 Expand -19*o + 16*o + 7*o - 1 + (2 - 3 + 0)*(3*o - o - o). 3*o - 1 Expand (-1 - 4 + 2)*(-3 + 0 + 8)*(-j + 17*j - 40*j). 360*j Expand (0 - 3 + 1 + (8 - 3 - 3)*(3 + 1 - 6))*(-1 - 5 + 2)*(0*k - 6*k + 8*k). 48*k Expand (263*q - 145*q + 24*q + 389*q)*(-1 + 1 + q**3). 531*q**4 Expand (-34*y - 26*y - 76*y)*((0 + 1 + 0)*(2*y + 0 + 0) + 0 + y + 0). -408*y**2 Expand (2 - 3 + 364*x - 313*x)*(0*x + 3*x + 2*x). 255*x**2 - 5*x Expand g**5 - 4*g**5 + 0*g**5 + 11*g**4 - 7*g**5 - 11*g**4 + (2*g**2 - 2*g**2 + g**2)*(3*g**3 - 6*g**3 + 4*g**3) + 2 - 2 - 4*g**5. -13*g**5 Expand (0*b - b - b)*(-59*b**2 - 562*b**2 + 7551 - 7551). 1242*b**3 Expand 3*n + 4*n + 0*n + (-3 - 4 + 0)*(-n + 0 + 0). 14*n Expand (-78 + 78 - 26*b**2)*(-2 + 5 - 1)*(1 - 1 + 5*b**2). -260*b**4 Expand (-10*d + 19*d + 215*d)*(-d*
{ "pile_set_name": "DM Mathematics" }
78611*g**2 - 1178613*g**2 + 3 - 3. -2*g**2 Collect the terms in -191*j**3 - 190*j**3 + 551*j**3 - 206*j**3. -36*j**3 Collect the terms in -626*t**2 - 2 + t + 1 - 3 + 1. -626*t**2 + t - 3 Collect the terms in -6*v - 15*v - 7*v - 2*v + 21*v + v. -8*v Collect the terms in 314 - 311 - 2*t - 3. -2*t Collect the terms in 219*l**2 - 426*l**2 + 232*l**2. 25*l**2 Collect the terms in -20*r**3 + 501*r**3 - 194*r**3 + 718*r**3. 1005*r**3 Collect the terms in 38*h**2 + 82*h - 204*h + 120*h. 38*h**2 - 2*h Collect the terms in -o**2 - 23 - 2462925*o + 2462925*o. -o**2 - 23 Collect the terms in 25*f - 4*f - 47*f + 25*f. -f Collect the terms in 723*w**2 + 107 - 363*w**2 - 107 - 345*w**2. 15*w**2 Collect the terms in 522*h**2 + 1189*h**2 + 2330*h**2. 4041*h**2 Collect the terms in -244886*g**3 + 489769*g**3 - 244890*g**3. -7*g**3 Collect the terms in 1 - 4 + 2*i**2 - 5*i + 21*i**2 + 0*i + 1. 23*i**2 - 5*i - 2 Collect the terms in -86*o + 46*o + 17*o + 21*o. -2*o Collect the terms in -5945*m**3 - 21011*m**3 + 3662*m**3. -23294*m**3 Collect the terms in -125*h - 153*h - 136*h**2 - 537*h**2. -673*h**2 - 278*h Collect the terms in -9982*v - 9971*v + 19940*v. -13*v Collect the terms in 26723*v - 28759*v - 123701*v - 23365*v. -149102*v Collect the terms in -17754*s + 35461*s - 17732*s. -25*s Collect the terms in -78*i**3 + 100*i**3 + 161*i**3 + 59*i**3. 242*i**3 Collect the terms in -7 - 12 - 25*q + 5*q - 190*q. -210*q - 19 Collect the terms in -26*t**3 - 28*t**3 + 63*t**3 + 4*t**3 - 43*t**3. -30*t**3 Collect the terms in 9*r**3 + 8*r + 7*r - 3*r**3. 6*r**3 + 15*r Collect the terms in -97 + 263 + h - 4*h + 4*h. h + 166 Collect the terms in 1641 - 820 + 4*w**2 - 821 - 35*w**3. -35*w**3 + 4*w**2 Collect the terms in 3 - 4 + 8 + 13 - 9*p - 12. -9*p + 8 Collect the terms in 317 - 701 + 22*b**2 + 0*b + 3*b + 384. 22*b**2 + 3*b Collect the terms in 114*x + 1 + 66*x + 1 + 12*x. 192*x + 2 Collect the terms in 2724787*s - 2724787*s - 3*s**3. -3*s**3 Collect the terms in 23017*s**3 - 46122*s**3 + 23104*s**3. -s**3 Collect the terms in -2*b**3 + 1139106 - 1139106. -2*b**3 Collect the terms in 77*l**3 + 68*l**2 - 76*l**3 - 68*l**2. l**3 Collect the terms in l - 1101*l**2 - l + 1095*l**2. -6*l**2 Collect the terms in -74 - 6*a + 3*a + a - 143 + 3. -2*a - 214 Collect the terms in -7 + 231*t - 61*t - 56*t - 54*t - 59*t. t - 7 Collect the terms in -140*o**2 - 6 + 846*o**2 + 6. 706*o**2 Collect the terms in -3*h**3 - 2458 + h**2 - 6399 - 4942. -3*h**3 + h**2 - 13799 Collect the terms in -139 - s - 142 + 281 + 0*s - 10*s**3. -10*s**3 - s Collect the terms in 9 - 84*h - 205*h - 16 + 12. -289*h + 5 Collect the terms in -x - 3 + 8 - 15 + 3*x - 38. 2*x - 48 Collect the terms in -3*v**2 + 7*v**2 - 10*v**2 - 23*v**2 + 5*v**2. -24*v**2 Collect the terms in 32*v + 53*v - 37*v - 2*v. 46*v Collect the terms in 263*q**2 - 9*q**2 + 169*q**2 - 2*q**2. 421*q**2 Collect the terms in -3 - 2852*q**3 - 4 + 7 - 4900*q**3. -7752*q**3 Collect the terms in 2 - 1799*w - 2 + 1801*w. 2*w Collect the terms in -2*v - 35*v + 6*v + 11*v + 7*v. -13*v Collect the terms in -6*l**3 - 29*l**3 - 46*l**3 + 88*l**3 - 4*l**3. 3*l**3 Collect the terms in -1048*u**3 + 1968*u**3 - 690*u**3. 230*u**3 Collect the terms in 18*g - 24678 - 3*g**2 - 2*g + 6*g**2 - 2*g**2. g**2 + 16*g - 24678 Collect the terms in -313 + 626 - 313 - 697*b. -697*b Collect the terms in 46042*t + t**2 - 92084*t + 46042*t. t**2 Collect the terms in -6012 + 2009 - 3*k**2 + 2001 + 2002. -3*k**2 Collect the terms in -883*z - 886*z + 2649*z + 2 - 2 - 881*z. -z Collect the terms in -35*u + 47 - 6*u - 1 - 7 - 19. -41*u + 20 Collect the terms in -543*j + 1244*j - 701*j - 24*j**3. -24*j**3 Collect the terms in -1761*g + 1424*g - 2195*g. -2532*g Collect the terms in r**2 - 11*r - 4*r + 20*r - 5*r + 787. r**2 + 787 Collect the terms in -5*c - 1271*c**3 - 41 + 5*c. -1271*c**3 - 41 Collect the terms in 175*z**3 + 159*z**3 + 105*z**3. 439*z**3 Collect the terms in -14*h - 15*h + 0 - 38*h - 2. -67*h - 2 Collect the terms in 8*t + 14*t - 4*t + 57*t**2. 57*t**2 + 18*t Collect the terms in -9846*n**2 - 1665*n**2 - 1771*n**2. -13282*n**2 Collect the terms in 2*u + 0*u - 37*u - 19*u - 2*u. -56*u Collect the terms in 234 + 222 + 0*x - 456 + 2*x. 2*x Collect the terms in -6*o**3 - 22*o**2 + 42*o**2 - 332*o**2. -6*o**3 - 312*o**2 Collect the terms in -57 + 170 - 2*p**2 - 94. -2*p**2 + 19 Collect the terms in 1 - 4 + 3 + 13132*k**3 - 12547*k**3. 585*k**3 Collect the terms in -30 - 19 + 49 - 73*i**2 + 74*i**2. i**2 Collect the terms in -233 - 1727*n**2 + 233. -1727*n**2 Collect the terms in -428*d + 53*d + 32*d. -343*d Collect the terms in 135819*y**2 + 135767*y**2 + y**3 - 2*y**3 - 271586*y**2. -y**3 Collect the terms in 3972*z**3 + 3942*z**3 - 3 - 7897*z**3 + 3. 17*z**3 Collect the terms in 62 + 10784*v + 61 - 123. 10784*v Collect the terms in -12*x**2 - 9*x**2 - 2*x + 9*x**2 + 69*x**3. 69*x**3 - 12*x**2 - 2*x Collect the terms in 5036 - 14*d**2 - 5036 - 5*d. -14*d**2 - 5*d Collect the terms in -541*t**3 - 605*t**3 + 1141*t**3. -5*t**3 Collect the terms in 186 - 188 + 30*m**2 - 40*m**2. -10*m**2 - 2 Collect the terms in 5769*w + 443 - 893 - 2*w**3 + 450 - 5769*w. -2*w**3 Collect the terms in -138*s**2 + 85*s**2 - 205*s**2. -258*s**2 Collect the terms in -3141*n**3 + 3136*n**3 + 988*n**2 - 988*n**2. -5*n**3 Collect the terms in -20717*r**3 - 3*r + 3*r - 143214*r**3. -163931*r**3 Collect the terms in 8 - 77*h - 88*h - 7 + 151*h. -14*h + 1 Collect the terms in -23405*z**2 + 70223*z**2 - 23411*z**2 - 23404*z**2. 3*z**2 Collect the terms in 5910*g**3 - 1544*g**3 + 4396*g**3. 8762*g**3 Collect the terms in -2000*f**2 + 5604*f**2 - 1798*f**2 + 2 - 2 - 1804*f**2. 2*f**2 Collect the terms in -278*y**2 - 192*y**2 - 90*y**2 + 58*y**2. -502*y**2 Collect the terms in -25 + 994*f - 996*f + 17 - 56. -2*f - 64 Collect the terms in 237*q**2 - 79545598*q + 79545598*q. 237*q**2 Collect the terms in -42763*h - 7974*h - 25399*h. -76136*h Collect the terms in -280*x + 574*x + 4*x**3 - 294*x. 4*x**3 Collect the terms in -336 - 346 + 682 + l**3. l**3 Collect the terms in 6*p**2 + 3070 + 3074 + 0*p**2 - 6144. 6*p**2 Collect the terms in -187*c**2 - 272*c + 134*c - 45*c**2 + 138*c. -232*c**2 Collect the terms in 40*s**2 + 17*s**2 - 57*s**2 - 680*s**3 + 667*s**3. -13*s**3 Collect the terms in -695*i**3 + 16*i + 694*i**3 - 51*i + 35*i. -i**3 Collect the terms in 0*c**3 - 3*c**3 - 633486176*c + 633486176*c. -3*c**3 Collect the terms in 34 + 769*x - 36*x**2 - 34 - 769*x. -36*x**2 Collect the terms in -4972 + 1671*h**2 + 4972. 1671*h**2 Collect the terms in 165*x - 2*x**3 + 64366889 - 64366889. -2*x**3 + 165*x Collect the terms in -960939*m**2 + 960939*m**2 - 12*m**3. -12*m**3 Collect the terms in -481 + 1822*t + 481. 1822*t Collect the terms in 2047*u + 2052*u + 2055*u - 6168*u. -14*u Collect the terms in 9*w + 2595 + 2563 - 5155. 9*w + 3 Collect the terms in 11520736*j - 5*j**3 - 11520736*j. -5*j**3 Collect the terms in 6261 + 285*o - 6261. 285*o Collect the terms in 35*o + 2*o**3 - 17*o + 125*o + 2*o**3. 4*o**3 + 143*o Collect the terms in -7*h**2 + 7*h**2 - 51 - h**2. -h**2 - 51 Collect the terms in -10 + 7 + 1 - 171*n**2 + 1. -171*n**2 - 1 Collect the terms in 27*u - 1174 - 1152 + 2326. 27*u Collect the terms in 6*a**3 - 5*a**3 + 52224 - 52224. a**3 Collect the terms in -251*p**2 + 94*p**2 + 51*p**2 + 64*p**2. -42*p**2 Collect the terms in -22*v + 2 + 26*v - 58*v - 49*v. -103*v + 2 Collect the terms in 463 - 13*y + 23*y - 463 - 13*y. -3*y Collect the terms in 25*s**2 - 25*s**2 + 940*s**3 - 934*s**3. 6*s**3 Collect the terms in 198*x**2 + 212*x**2 - x - 602*x**2 + 201*x**2 + x. 9*x**2 Collect the terms in 4*l - 4*l - 56*l**2 + 51 + 60*l**2 - 51. 4*l**2 Collect the terms in 24*i + 4*i + 22*i + 5*i. 55*i Collect the terms in 17*r - 6*r + 16*r + 29*r - 13*r. 43*r Collect the terms in 260*h + 118*h + 46*h - 107*h + 237*h. 554*h Collect the terms in 126*y**2 - 26*y + 26*y - 231*y**2 + 99*y**2. -6*y**2 Collect the terms in -m**2 + 17 - 37 + 21 + 13*m**2 + 2*m**2. 14*m**2 + 1 Collect the terms in g + 3*g + 33*g**3 - g + 339*g**3. 372*g**3 + 3*g Collect the terms in -50542*r - 50486*r + 101028*r - 3*r**2. -3*r**2 Collect the terms in 2616*l - 7391*l - 5520*l - 4453*l + 3035*l. -11713*l Collect the terms
{ "pile_set_name": "DM Mathematics" }
54*z**2 - 594970986*z. 54*z**2 Collect the terms in -79115*f - 1 + 37716*f + 41563*f. 164*f - 1 Collect the terms in -430*z + 998*z + 726*z - 430*z - 422*z - 428*z. 14*z Collect the terms in -654*s - 49*s**2 - 547*s - 547*s - 542*s + 2290*s. -49*s**2 Collect the terms in 422 - 13*c**2 - 212 + 25*c**2 + 0*c**2 - 210 - 18*c**2. -6*c**2 Collect the terms in -256462*n - 6 - 1 + 0 + 7. -256462*n Collect the terms in -287*p + 1259425047516 - 1259425047516. -287*p Collect the terms in -2*v**3 - 40 + 128 - 460*v - 42 - 48 + v**3. -v**3 - 460*v - 2 Collect the terms in 120*b**2 + 554 - 51*b**2 - 38*b**2 - 57*b**2 - 554. -26*b**2 Collect the terms in -2 - 16831*l + 16829*l + 4*l**3 - 468*l**2 - 101*l**2. 4*l**3 - 569*l**2 - 2*l - 2 Collect the terms in -1296*y**2 + 358*y**2 + 395*y**2 + 429*y**2. -114*y**2 Collect the terms in 61069842*v**2 - 30534938*v**2 - 30534934*v**2. -30*v**2 Collect the terms in -13052173*f + 13052173*f - 132984*f**2 + 132982*f**2. -2*f**2 Collect the terms in -1155*p**3 - 1 - p - 785*p**3 + 3*p. -1940*p**3 + 2*p - 1 Collect the terms in 478*w**2 + 503*w**2 + 450*w**2 - 2265*w**2 + 457*w**2 + 449*w**2. 72*w**2 Collect the terms in -606*b**3 + 1810*b**3 - 4 - 607*b**3 - 596*b**3 + 4. b**3 Collect the terms in 242*v**2 - 270*v**2 + 193*v**2 - 171*v**2. -6*v**2 Collect the terms in -238489*j**2 - 18*j**3 - 2 + 477037*j**2 + 2 - 238545*j**2. -18*j**3 + 3*j**2 Collect the terms in -7*a + 44 - 24*a - 4*a - 30 + 14*a. -21*a + 14 Collect the terms in 3101*o + 16975*o + 2946 - 3582*o - 2948. 16494*o - 2 Collect the terms in -13127331*n**2 - 11 + 11. -13127331*n**2 Collect the terms in -6 - 166457*f + 165929*f - 10. -528*f - 16 Collect the terms in -9737*x**2 + 5483*x**2 + 4286*x**2. 32*x**2 Collect the terms in -109 - 119 - 122 + 577 - 201*t - 117 - 113. -201*t - 3 Collect the terms in -4 - 3 - 44066*p**3 + 4 - 4. -44066*p**3 - 7 Collect the terms in -4 + 13 + 898*c - 9 - 5408*c. -4510*c Collect the terms in 33461*a**3 - 16700*a**3 - 2*a + 2*a - 16766*a**3 - 3. -5*a**3 - 3 Collect the terms in 77 - 95 + 3 + 6 + 225*d + 9. 225*d Collect the terms in -9458*q**3 + 0 - 7976*q**3 + 0 + 17455*q**3. 21*q**3 Collect the terms in -216009052*d - 216009068*d + 432018124*d. 4*d Collect the terms in -215194225 - q + 215194225. -q Collect the terms in -116*g**2 + 116*g**2 + 12*g**3 - 17*g**3 + 8*g**3 + 6*g**3. 9*g**3 Collect the terms in 170 - 80 - 115 - 3543*k**3. -3543*k**3 - 25 Collect the terms in -3213411*r**2 + 3213409*r**2 + 14 - 14. -2*r**2 Collect the terms in -45 - 3*d**2 - 48 + 259 - 166 + 2*d. -3*d**2 + 2*d Collect the terms in -396*a + 16495*a**2 - 94*a**3 - 16502*a**2 + 396*a. -94*a**3 - 7*a**2 Collect the terms in -336*j - 125 + 135*j + 245 - 113. -201*j + 7 Collect the terms in s - 219619202 - 4*s + 109809595 + 109809601. -3*s - 6 Collect the terms in -169543*i + 7755*i - 195155*i. -356943*i Collect the terms in -220 - 229 + 678 - 229 - 10881*p. -10881*p Collect the terms in 15436*i + 108224*i + 2 - 69*i + 116168*i. 239759*i + 2 Collect the terms in 1496*p - 383*p - 284*p - 401*p - 232*p. 196*p Collect the terms in 317904*w + 317922*w - 953745*w + 317919*w - 61*w**2. -61*w**2 Collect the terms in -5367*y**3 - 2*y**2 + 33616*y**3 + 21304*y**3 + 2*y + 2*y - 2. 49553*y**3 - 2*y**2 + 4*y - 2 Collect the terms in 374*j - 18 - 8*j**2 + 48 + 0*j**2 + 9*j**2 - 30. j**2 + 374*j Collect the terms in -10591*w - 1 - 14193*w + 3. -24784*w + 2 Collect the terms in 11*h**2 - h**2 + 2*h - 2*h**2 - 48*h + 42*h. 8*h**2 - 4*h Collect the terms in 13299*i**3 + 13307*i**3 + 2*i - 53233*i**3 + 13309*i**3 + 13316*i**3. -2*i**3 + 2*i Collect the terms in -106 + 12 - 111*v + 116*v. 5*v - 94 Collect the terms in -203494*d**3 + 899232*d**3 + 457059*d**3. 1152797*d**3 Collect the terms in -32 + 4317*u - 28 + 59. 4317*u - 1 Collect the terms in -2113*o**3 + 560*o + 3 - 560*o. -2113*o**3 + 3 Collect the terms in -57*o - 3251 - 61435 + 55*o. -2*o - 64686 Collect the terms in -147*o**3 + 148*o**3 + 4*o - 3*o - 6404*o**2 - 513*o**2. o**3 - 6917*o**2 + o Collect the terms in 9197*x**3 - 27579*x**3 + 9182*x**3 + 9194*x**3. -6*x**3 Collect the terms in 435380*x**3 - 145250*x**3 - 144897*x**3 - 144887*x**3. 346*x**3 Collect the terms in -2358279 + 261*h**2 + 2358292 + 103*h**2. 364*h**2 + 13 Collect the terms in 6*b - 14*b**2 - 4*b**3 + 124*b**2 + 184*b**2. -4*b**3 + 294*b**2 + 6*b Collect the terms in -1789*h - 608*h + 2 - 261*h + 271*h. -2387*h + 2 Collect the terms in 879*l - 12 - 430*l - 6*l**3 - 450*l. -6*l**3 - l - 12 Collect the terms in 7219 + 7208 - 1762*j - 14427 + 1718*j. -44*j Collect the terms in 6381*r**2 - 6381*r**2 + 588*r**3 + 2887*r**3. 3475*r**3 Collect the terms in 3777*c**2 - 3*c + c + 390*c**2 + 2*c. 4167*c**2 Collect the terms in 138*h - 4029*h**3 + 130*h - 268*h. -4029*h**3 Collect the terms in 1 - 15167495*o + 4296662*o - 1. -10870833*o Collect the terms in 4871308706800 - 4871308706800 - 53*g. -53*g Collect the terms in 5167*j - 1973*j + 2579*j**2 - 3194*j. 2579*j**2 Collect the terms in -42347*t**3 + 21049*t**3 + 21691*t**3. 393*t**3 Collect the terms in 8839 - 11*a + a + 2*a + 5*a. -3*a + 8839 Collect the terms in -2095*v**2 + 17*v**3 - 4*v - 2112*v**2 + 4207*v**2. 17*v**3 - 4*v Collect the terms in 8707*y + 8679*y - 17386*y - 832*y**2. -832*y**2 Collect the terms in -1326931*z - 2873878*z + 152552*z. -4048257*z Collect the terms in r**3 - 114 + 0*r**3 + 114 + 4*r**3. 5*r**3 Collect the terms in -9*z + 511941 - 511941. -9*z Collect the terms in -136*m**2 + 45*m**2 - 2 + 45*m**2 + 51*m**2. 5*m**2 - 2 Collect the terms in -15*y - 1427*y**3 - 4*y + 6*y + 1435*y**3 - 2*y. 8*y**3 - 15*y Collect the terms in 20604*q**3 + 20603*q**3 + 20602*q**3 - 123390*q**3 + 20360*q**3 + 20609*q**3 + 20608*q**3. -4*q**3 Collect the terms in -1927 - 1931 + 5784 + 24*c + 23*c - 1926 - 45*c. 2*c Collect the terms in -3*g**3 + 151*g + 3*g**2 - 65*g**2 + 8*g**3 - 151*g. 5*g**3 - 62*g**2 Collect the terms in 1314*l - 4005*l + 1 - 1 + 1381*l + 1485*l. 175*l Collect the terms in -35*j - 44*j + 2*j + 130*j - 42*j. 11*j Collect the terms in 115 - 5 - 10*o**3 - 96 + 8*o**3. -2*o**3 + 14 Collect the terms in 27695998*g**3 - 13848023*g**3 - 13848122*g**3. -147*g**3 Collect the terms in -9*p - 79*p**3 + p**2 + 0*p**2 + 49*p. -79*p**3 + p**2 + 40*p Collect the terms in -122*n - 68*n - 4 - 6 + 3*n**2 - 4*n**2 - 16. -n**2 - 190*n - 26 Collect the terms in 425508*g - 416849*g - 2247859*g. -2239200*g Collect the terms in 1337*l**2 + 2*l - l - 57 - 3*l. 1337*l**2 - 2*l - 57 Collect the terms in -23644*c - 2*c**2 + 11165*c + 12479*c + 2*c**2 + 119*c**3. 119*c**3 Collect the terms in -11851*s - 11772*s - 11829*s + 47175*s - 11885*s. -162*s Collect the terms in -13432*k - 13399*k + 26831*k + 802*k**3 - 3. 802*k**3 - 3 Collect the terms in 4406*r**3 + 23*r - 106*r + 29*r + 54*r. 4406*r**3 Collect the terms in 2383*v**2 - 7052*v**2 + 2376*v**2 + 2275*v**2. -18*v**2 Collect the terms in 1 + 2*p**2 - 59 - 45*p + 45*p - 57 + 115. 2*p**2 Collect the terms in 201*s**2 + 206*s**2 - 1747*s**2 + 205*s**2 + 732*s**2 + 204*s**2 + 204*s**2. 5*s**2 Collect the terms in 703*u**2 - 234*u**2 - 3*u - 242*u**2 - 238*u**2. -11*u**2 - 3*u Collect the terms in -2543214487*k + 1271607222*k + 1271607261*k. -4*k Collect the terms in 24*w - 1069*w - 1327*w. -2372*w Collect the terms in -1685707*m**2 + 421426*m**2 + 421427*m**2 + 421430*m**2 + 421427*m**2. 3*m**2 Collect the terms in 3213069*d**2 - 6426807*d**2 + 3213046*d**2. -692*d**2 Collect the terms in 11 + 93*n**2 - 4 + 273*n**2 - 10 + 0. 366*n**2 - 3 Collect the terms in -181299*r**2 - 181324*r**2 + 362626*r**2. 3*r**2 Collect the terms in 4*u**2 + 40*u - 149 - 39*u - u + 165. 4*u**2 + 16 Collect the terms in -209*s - 37*s - 46*s - 44*s + 398*s - 64*s. -2*s Collect the terms in 308*g + 107*g**2 + 50*g**2 + 49 - 16*g**2. 141*g**2 + 308*g + 49 Collect the terms in 79637*k**2 + 1309 - 1309. 79637*k**2 Collect the terms in 3*y - 1451319404305 + 1451319404305. 3*y Collect the terms in -348 + 176*v**3 - 3*v**3 + 174 - 180*v**3 + 174. -7*v**3 Collect the terms in 23*h - 5683 + 2695 + 2988 + 9*h. 32*h Collect the terms in -288 + 575 - 287 + 31944*j. 31944*j Collect the terms in 49 + 45 - 108 + 14 + 1452*h - 2900*h + 1452*h. 4*h Collect the terms in 24 + 27*x**3
{ "pile_set_name": "DM Mathematics" }
tors of k? 2, 11 Let n = 317 + -175. What are the prime factors of n? 2, 71 Let u be 1/(-5) - (-672)/10. Let r = u - 22. List the prime factors of r. 3, 5 Suppose -4*f + 0*f + 84 = 0. Suppose 4*c - f = 7. Suppose 4*d - 4*n = 20, 4*d - 20 = 2*n - c*n. List the prime factors of d. 5 Suppose -4*t - 5*a + 120 = 0, 0 = -0*t - t - 3*a + 30. Suppose 0*n = 3*n - 18. What are the prime factors of (n/(-9))/((-4)/t)? 5 Suppose -x = 2*x + 42. Let f = -10 - x. What are the prime factors of f? 2 Let u(g) = -2*g + 5. Let q(h) = 3*h - 6. Let z(m) = 5*q(m) + 6*u(m). What are the prime factors of z(1)? 3 What are the prime factors of -12*(-4 - 21/(-12))? 3 Let u(l) be the third derivative of -l**6/120 - l**5/12 + 5*l**4/24 + 5*l**3/6 - 2*l**2. What are the prime factors of u(-6)? 11 Let r(x) = -x**2. Let z(y) = -2*y**2 - y + 1. Let h(a) = -4*r(a) + z(a). List the prime factors of h(-2). 11 Suppose -q - 22 = -7. Suppose -24 = 4*b - 4*a, 0 = 5*b + 4*a - 5*a + 14. What are the prime factors of q/(-2) + b/4? 7 Let k = -3 + 5. Let i = k + -4. What are the prime factors of 4/i + (-3 - -9)? 2 Let g = -46 + 104. What are the prime factors of g? 2, 29 Suppose -2*x = -3*d + 53 + 228, d - 2*x - 95 = 0. Suppose d + 7 = 5*o - 5*t, -o + 26 = -4*t. Let i = o + -12. What are the prime factors of i? 2, 3 Let i(o) be the second derivative of -5*o**3/6 + o**2/2 - 2*o. Let q be i(-1). Suppose 2*p - q - 4 = 0. What are the prime factors of p? 5 Let x(u) = 3*u**2 - 2*u - 4. What are the prime factors of x(-3)? 29 Let a = 350 + -250. Let c = 158 - a. What are the prime factors of c? 2, 29 Let w(r) = r**3 - 7*r**2 + r - 7. Let m be w(7). Suppose 5*l - 56 + 16 = m. What are the prime factors of (-45)/6*l/(-10)? 2, 3 Let h be (-18)/(-4)*16/4. Let s = 29 - h. List the prime factors of s. 11 What are the prime factors of -5*((-129)/15 - -2)? 3, 11 What are the prime factors of 20/1 + 0/(-11)? 2, 5 Let k(t) = -5*t**3 - t + 1. Let p be k(1). Let z(d) = d**2 + 6*d + 1. Let w be z(p). What are the prime factors of 11/2 + w/(-8)? 2, 3 Let q(x) = -x - 6. Let l be q(-8). Suppose 2*k = -l*k + 28. List the prime factors of k. 7 Let q = 2 - 0. Let v(m) = m + m - 2*m + 1 - q*m. What are the prime factors of v(-2)? 5 Suppose 4*y + 1 = 3*y. Let z(o) = -4*o**2 - 1 - 12*o**3 + 4*o**2. List the prime factors of z(y). 11 Let u = -6 - -10. Suppose 0 = -u*n + 28. What are the prime factors of n? 7 Let r(w) = w**2 - 4*w + 7. Let b be (-2)/7 + 180/42. Suppose -2*m - o - b*o + 30 = 0, -11 = -3*m + o. What are the prime factors of r(m)? 2, 3 Let c(t) = -t. Let n(b) = -3*b + 3. Let x(h) = -5*c(h) + n(h). Let a be x(-2). What are the prime factors of (a - 0)*(-6 - 1)? 7 Suppose u - 10 = -2*s, 0*u = -u + 2*s - 10. Let i(r) = -r**2 + 5. List the prime factors of i(u). 5 Let y(j) = -24*j**3 + 2*j + 1. Let w be y(-1). Let r = 27 - w. What are the prime factors of r? 2 Let s be ((-348)/8)/(1/(-2)). Suppose -a + s = 4*d - 9, -3*d = -5*a - 72. List the prime factors of (-8)/d - 56/(-6). 3 What are the prime factors of 8/(-44) - 4680/(-88)? 53 Let t = -16 - -27. List the prime factors of t. 11 Let l(b) = -b**2 + 4*b + 1. Let m be l(2). Suppose -4*p + 0*h = 4*h - 188, 285 = 5*p - m*h. What are the prime factors of p? 2, 13 Let m = 8 - 3. Suppose -2*k - 2*u = -7*u - m, -2*u - 2 = 4*k. Suppose d + 2*d - 12 = k. List the prime factors of d. 2 Let h = -24 + 39. Suppose 5*n - h = 80. What are the prime factors of n? 19 Let b be (5/(-3))/(4/(-12)). Suppose 5*i - 30 = -b. List the prime factors of i. 5 Let y = 50 + -34. What are the prime factors of y? 2 Let l(i) = -46*i**3 + 3*i**2 + i - 1. What are the prime factors of l(-1)? 47 Suppose 5*q - 1 = 9. Suppose 0 = -q*t + 9 - 1. Suppose 0*v + 2*v - 12 = 4*i, -v - t*i + 12 = 0. What are the prime factors of v? 2 Suppose 0*b + 44 = -4*m - 2*b, 0 = 5*m - 2*b + 64. Let r(d) be the first derivative of d**4/4 + 11*d**3/3 - 6*d**2 + 8*d + 3. List the prime factors of r(m). 2 Let b(d) = 17*d - 5. List the prime factors of b(13). 2, 3 Let z = -11 + 26. Let r = z + -1. What are the prime factors of r? 2, 7 Let z = 109 - 50. List the prime factors of z. 59 Let t(m) = -2*m + 5. Let l be t(0). Suppose -l*k = -3*k - 44. What are the prime factors of k? 2, 11 Let v be (-5)/(-2) + 2/(-4). Suppose 6 = v*a - 14. What are the prime factors of a? 2, 5 Let a = 4 + 7. What are the prime factors of a? 11 Suppose -4*f = 4*y - 1272, 199 + 120 = f + 2*y. What are the prime factors of f? 317 Let i = -10 + 13. Let q(r) = -r**3 + 5*r**2 - 3*r. Let o be q(i). What are the prime factors of ((-44)/(-6))/(6/o)? 11 Let q(n) = -n**3 - 4*n - 6. Let o = 10 - 13. What are the prime factors of q(o)? 3, 11 Let k = -12 + 17. What are the prime factors of k? 5 Let q(o) = o**3 + 3*o**2 + 21*o - 15. What are the prime factors of q(6)? 3, 5, 29 Suppose 4*y = -5*w + 35, -5*w = -y - 2*y. Suppose 20 = y*o - 0. Suppose o*u = 2*n - 20, 2*u + 4 = 2. What are the prime factors of n? 2 Let l(d) = 12*d - 4. Let s be l(-6). List the prime factors of -1 + s/(-2) - -3. 2, 5 Suppose 4*g + 13 = 2*f - g, -g - 35 = 5*f. Suppose 0 = 5*u - 0 - 60. Let r = u + f. What are the prime factors of r? 2, 3 Let k be 12/7 - (-4)/14. Suppose -k*h = -2*u - 6, 2*h - 11 = u - 3. List the prime factors of h. 5 Let g(f) = f**2 + 4. Let t be g(-3). Suppose 0 = -2*d + 2*m + 10, 2*d = -2*m + t + 1. Suppose -2*r + 0*r = -d. List the prime factors of r. 3 Let i(q) = 2*q + 12. What are the prime factors of i(11)? 2, 17 Suppose -135 = -b - 14. List the prime factors of b. 11 Suppose 0 = -19*b + 20*b - 27. List the prime factors of b. 3 What are the prime factors of 2 + -1*(-4 - 167)? 173 Let m = 143 - 83. Suppose -m = -4*w + w. What are the prime factors of w? 2, 5 Let t be ((-12)/9 + 3)*12. Suppose 3*m - 5*m = -t. List the prime factors of m. 2, 5 Let l = -5 + 8. Suppose -l*f + 15 = -21. List the prime factors of f. 2, 3 Let t(v) = 15*v**2 + v. Let w be t(2). Suppose -5*i + 23 = -w. What are the prime factors of i? 17 Let k be 2/(-7) + 92/28. Let z = 35 - k. What are the prime factors of z? 2 Suppose -5*i + 223 = -47. What are the prime factors of i? 2, 3 Let r = -10 - -10. Let z be (r + 0)*3/(-3). Suppose 28 = 2*b - 7*v + 3*v, -3*b + 5*v + 42 = z. What are the prime factors of b? 2, 7 Let s(b) = b**3 - b**2 + 4*b - 10. What are the prime factors of s(4)? 2, 3 Suppose -3*x = -3*o + 2*o + 14, 4*x = 3*o - 22. What are the prime factors of 102/o*8/24? 17 Let s(l) = -l**3 + 10*l**2 + 15*l - 14. What are the prime factors of s(11)? 2, 3, 5 Let h(q) = 9*q**2 - q. What are the prime factors of h(-3)? 2, 3, 7 Let l(j) = j**2 - 2*j - 6. List the prime factors of l(-4). 2, 3 Let q(k) = -k**3 - 8*k**2 - 10*k - 4. What are the prime factors of q(-7)? 17 Suppose 3*l - 3*i = 195, -2*l + 52 = 2*i - 70. List the prime factors of l. 3, 7 Let c be -4*(-2 - 3/(-4)). Let o(h) = -h**3 + 5*h**2 + 5*h - 10. List the prime factors of o(c). 3, 5 Let n = -6 - -5. Let g be 2 - ((2 - 0) + n). Suppose l = 6 + g. List the prime factors of l. 7 List the prime factors of 1141/4 + 33/44. 2, 11, 13 Let y be (-57)/(-4) + 2/(-8). Suppose l = 3*l - y. Suppose -2*p + 15 = -l. List the prime factors of p. 11 Suppose -5*k + 10*k = 15, 5*z + 2*k = 486. What are the prime factors of z? 2, 3 Let w be -1*(-1)/((-3)/(-21)). Let h = -7 + w. What are the prime factors of -9*((h - -2) + -3)? 3 Let v(q) = 9*q**2 + 4*q. Let a be v(3). What are the prime factors of 1/(2 + a/(-48))? 2 Suppose 0*j - 351 = -3*j. What are the prime factors of j? 3, 13 Suppose 5*g - 6 = 4. Suppose 0*b = g*b. Suppose -3*h + m + b*m = -24, -4*h - 4*m = -48. What are the prime factors of h? 3 Let n = -14 + 12. List the prime factors of (44*(1 + -2))/n. 2, 11 Let i be 0 - -12*2/3. Let g = 27 - i. What are the prime factors of g? 19 Suppose 0 = -0*r - 4*r + 16. Suppose 9 = -3*b, 6 = r*m + b + 61. Let j = -7 - m. List the prime factors of j. 2, 3 Let a(x) = -39*x - 4. List the prime factors of a(-2). 2, 37 Let p = 2 + 6. Let g = 14 + p. Let r = g - 9. What are the prime factors of r? 13 Let o = -101 + 72. Let w = -18 - o. List the prime factors of w. 11 Suppose -5*j = 88 - 23. Let d = j - -24. What are the prime factors of d? 11 Let o = -33 - -47. What are the prime factors of o? 2, 7 Let q(h) = 4*h - 9. Let r be ((-4)/(-6))/((-14)/(-1
{ "pile_set_name": "DM Mathematics" }
6 Find the first derivative of -13*d**2*g**4 + 2*d**2*g**2 + 18*d**2 + 4*d - 6*g wrt g. -52*d**2*g**3 + 4*d**2*g - 6 Find the second derivative of -143*s**2 + 2*s + 39. -286 Find the second derivative of -153*b**2*y**2 - 332*b**2*y + 2*b*y - 2*y**2 wrt y. -306*b**2 - 4 What is the first derivative of 29270*u**4 - 12550? 117080*u**3 Find the first derivative of -122*p - 686. -122 Find the third derivative of -3*h*k**4 - 167*h*k**3 + h*k**2 - h - 4*k**4 + k**3 - 2*k**2 - 405 wrt k. -72*h*k - 1002*h - 96*k + 6 What is the third derivative of 7*i**3*z**2 - 7*i**3 - 82*i**2*z - 2*i*z**2 wrt i? 42*z**2 - 42 What is the second derivative of -3334*n**5 - 925*n - 1 wrt n? -66680*n**3 What is the first derivative of -7477*s*v + 1553*v wrt s? -7477*v Find the second derivative of 166*a**2*c**2 + 5*a**2*c - 4*a**2 - 2*a*c wrt c. 332*a**2 Find the third derivative of -g**6*h + 73*g**5 + 23*g**2*h wrt g. -120*g**3*h + 4380*g**2 What is the third derivative of -n*p**3*u - 416*n*p**3 - 2*n*p**2*u - 1827*n*p*u + p**3*u - 2*p**2*u wrt p? -6*n*u - 2496*n + 6*u Find the first derivative of -6758*s**2*v - 2*s**2 - 2*v - 79 wrt s. -13516*s*v - 4*s What is the third derivative of 3*g*m**3 - 106*g*m**2 + 94*m**3 + 2*m**2 - 2 wrt m? 18*g + 564 What is the derivative of 12*s**3 + 3*s**2*x**3 + 5*x**3 + 4*x wrt s? 36*s**2 + 6*s*x**3 Find the second derivative of -203*i**2*w**3 + 3*i + 25*w**3 wrt i. -406*w**3 Find the third derivative of -47*y**5 + 2*y**4 + 7*y**2 + 3. -2820*y**2 + 48*y Find the third derivative of -3*g*r**5 + 10*g*r + 2*r**5 + 5*r**2 wrt r. -180*g*r**2 + 120*r**2 What is the second derivative of -3*i*n**2*p - 581*i*n*p + 2*i*p**3 - 226*n**2*p**3 - 2*n**2 - 5*p**3 wrt p? 12*i*p - 1356*n**2*p - 30*p Find the third derivative of 10*r**4 + r**3 - 588*r**2 - 1. 240*r + 6 What is the derivative of 33*t**2 - 10*t*x + 629*x - 2 wrt t? 66*t - 10*x Find the third derivative of -38*x**6 - 13*x**2 - 9. -4560*x**3 What is the second derivative of -882*f**3 - 4*f**2 - 9077*f? -5292*f - 8 Find the second derivative of -17*a*m**3 + 2*a*m**2 - 164*a + m**2 + 2*m wrt m. -102*a*m + 4*a + 2 What is the first derivative of -74*g**2*j**4 + 1295*g**2 + 25*g*j**4 wrt j? -296*g**2*j**3 + 100*g*j**3 What is the first derivative of -646*n + 700? -646 Find the second derivative of p**5 + 181*p**3 - 414*p. 20*p**3 + 1086*p Find the first derivative of -7*f**2*u + 10*f**2 + 8*f*u + f wrt u. -7*f**2 + 8*f Find the first derivative of -6*g**2 - 144*g - 849. -12*g - 144 What is the third derivative of 81*i**3*r**3 - 104*i**2*r**3 - i**2*r wrt i? 486*r**3 Find the second derivative of 186*k**3*u**2 - 7*k**3*u - 2*k**3 - 3 wrt u. 372*k**3 Find the second derivative of b**3*y**2 - 11*b**2*y**2 + 12*b**2*y - 4*b**2 + b*y**2 - 21*b - 2*y**2 - 4 wrt b. 6*b*y**2 - 22*y**2 + 24*y - 8 Find the third derivative of -1942*f**5*r - 103*f**2 - f*r + 32*r wrt f. -116520*f**2*r What is the second derivative of g*m**2*x + 2*g*m*x - 34*g*m + 15*m**5*x - m**5 - m*x - 4*m wrt m? 2*g*x + 300*m**3*x - 20*m**3 Differentiate -3*r**3*u - 16*r*u**2 + 5*r + 435*u**2 with respect to r. -9*r**2*u - 16*u**2 + 5 Differentiate 3*f**4*l**3 + 147*f**2*l**2 + 3254*l**3 wrt f. 12*f**3*l**3 + 294*f*l**2 What is the first derivative of 1070*a + 558 wrt a? 1070 What is the third derivative of 29*t**4 + 71*t**3 - 534*t**2 - 1 wrt t? 696*t + 426 Find the second derivative of -4*w**3 - 33*w**2 - 829*w wrt w. -24*w - 66 Find the second derivative of -11*c*p**4 - 5*c*p + 2*c + 80*p**4 + 3*p**3 - 24*p + 7 wrt p. -132*c*p**2 + 960*p**2 + 18*p Find the third derivative of 3104*y**4 + 19459*y**2 wrt y. 74496*y Find the first derivative of -30*j + 22 wrt j. -30 What is the third derivative of -2*f**2*p**3 - 49*f**2*p**2 + 7*f**2 - 73*f*p**3 wrt p? -12*f**2 - 438*f What is the first derivative of -3*g**3 + 48*g + 319? -9*g**2 + 48 Find the third derivative of 384*w**6 + 42*w**2. 46080*w**3 Find the second derivative of -178*d**4*r - 7*d**2*r**3 + 2*d*r**2 - 123*d*r - 11*r**3 wrt d. -2136*d**2*r - 14*r**3 Find the second derivative of 30*c**2*p**3*z + 2*c**2*p + 2*c**2*z - c*p + 24*c + p**5*z - p wrt p. 180*c**2*p*z + 20*p**3*z What is the second derivative of p**4 + 3534*p**3 + 2*p - 1466? 12*p**2 + 21204*p Find the first derivative of 20*g**3 - 38*g**2 - 3009 wrt g. 60*g**2 - 76*g Find the second derivative of 59*a**3 - 4*a**2 - 350*a + 2. 354*a - 8 Differentiate -2*a**2*r**2 - 68*a**2*r + 14*a**2 + 5*a + r**2 with respect to r. -4*a**2*r - 68*a**2 + 2*r What is the second derivative of 101*g**3 + g**2 - 10*g - 35? 606*g + 2 Find the second derivative of 12*i**3*y**2 + 5*i**3*y - 200*i**2*x**2*y**2 + i**2*x**2*y + 398*x**2 + 2*y**2 wrt y. 24*i**3 - 400*i**2*x**2 + 4 Differentiate -2*i**3*z + 3814*i**3 - 870*i*z with respect to z. -2*i**3 - 870*i What is the derivative of -3*w**4 - 306*w**3 - 326 wrt w? -12*w**3 - 918*w**2 Find the third derivative of 384*k**3 + 229*k**2. 2304 Find the second derivative of 253*d**5 - 3*d**4*h**3 + d*h**3 + 334*d*h**2 wrt d. 5060*d**3 - 36*d**2*h**3 Find the second derivative of 12962*i**2*l**3*m**3 + 3*i*l**3*m**3 + 66*i*l**2 wrt i. 25924*l**3*m**3 Find the third derivative of 85*a**3*o**2 + 2*a**3 - 263*a**2 + 6*a*o**2 wrt a. 510*o**2 + 12 What is the second derivative of 22*v**4 - 8*v**2 - 22*v - 24? 264*v**2 - 16 Differentiate 6293*f**4 + 7523 wrt f. 25172*f**3 Differentiate 2*d*h**2*i**3 - 162*d*h**2*i**2 + d*h*i**3 - d*h*l - 2*h**2*l - 21*h*i**3*l with respect to l. -d*h - 2*h**2 - 21*h*i**3 What is the first derivative of 3273*g**3*i**2 - 268*i**2 wrt g? 9819*g**2*i**2 What is the second derivative of -1929*n**2 + 416*n wrt n? -3858 Find the third derivative of -178*t**5 - 2*t**3 + t**2 - 86 wrt t. -10680*t**2 - 12 What is the first derivative of -2*c**4*v + 3*c**4 - 7*c**2*v - 213*v wrt c? -8*c**3*v + 12*c**3 - 14*c*v What is the second derivative of 11*l**2*p**2 - 42*l**2*p + 2*p**4 - p wrt p? 22*l**2 + 24*p**2 What is the second derivative of 115*q*u**2 + 68*q*u - 2*u wrt u? 230*q Differentiate 143*n*p + 3*n*t**3 - 2*n*t - 2*p - t**3 + 4*t with respect to n. 143*p + 3*t**3 - 2*t What is the second derivative of -120*w**4 + w**2 - 24*w + 3? -1440*w**2 + 2 Find the third derivative of -2*a**3*q**3*y + a**3*q**2*y + 2*a**3*q + 756*a*q**3*y - 5*a*q**2*y + 32*a*y wrt q. -12*a**3*y + 4536*a*y Differentiate -133*u**2 + 27 wrt u. -266*u Find the third derivative of 86*f**2*g**3 - 3*f**2 - 3*f*g**3 + 1618*f*g**2 wrt g. 516*f**2 - 18*f What is the second derivative of -142*u**3 - 252*u? -852*u Find the second derivative of 13333*j*p**2 + 26*j - 58*p wrt p. 26666*j What is the third derivative of 8896*o**6 + 5660*o**2 wrt o? 1067520*o**3 What is the first derivative of 1250*g**2*i - 767*g**2 wrt i? 1250*g**2 Find the third derivative of 19*h**3*y**3 + 7*h**3*y**2 + 6*h*y**3 - 12*h*y**2 - 3*y wrt y. 114*h**3 + 36*h Find the third derivative of -c*n**3 - c*n**2 - 2*c*n - 34*n**3 wrt n. -6*c - 204 Find the second derivative of 2289*a**5 - 526*a. 45780*a**3 What is the derivative of 3*g*k**2 + g*k*o**3 + 4*g + 2*k**2*o**3 - k**2*o**2 + 19*k**2*o wrt g? 3*k**2 + k*o**3 + 4 Find the third derivative of 1196*m**3*x**3 - 2*m**3*x**2 + 93*m**3 - m*x**3 - 3*m*x wrt x. 7176*m**3 - 6*m What is the third derivative of -1432*a**3*p**3 - 7*a**3 + 4*p**2 wrt p? -8592*a**3 Find the third derivative of -10*h*n**3 - 3*h*n**2 + 6*n**3 + 33*n wrt n. -60*h + 36 Find the second derivative of 78*c**2*t**3 + 8*c*t**3 - 4*c*t wrt c. 156*t**3 Find the third derivative of -2*q**5 + 8678*q**4 - 305*q**2 + 24 wrt q. -120*q**2 + 208272*q What is the derivative of 6*c*r**2 - 1305*c + r**4 - 15*r wrt r? 12*c*r + 4*r**3 - 15 Find the first derivative of -157*i**3 + 218. -471*i**2 Find the third derivative of 2581*a**5 - 1547*a**2. 154860*a**2 Differentiate o**2*z**3 + 4086*o**2 - 1014*z**4 wrt z. 3*o**2*z**2 - 4056*z**3 Differentiate 345*d**3 + 13*d**2 + 2291 wrt d. 1035*d**2 + 26*d What is the second derivative of -d**5 - 627*d**2 - 4122*d wrt d? -20*d**3 - 1254 What is the derivative of 168*f**3 - 189 wrt f? 504*f**2 Differentiate -4*c**2*t + 268*c**2 + 81*t - 2 with respect to t. -4*c**2 + 81 Find the second derivative of -1120*j**2*k**3 - 2*j*k**3 + j*k - 25*k wrt j. -2240*k**3 What is the third derivative of -590*g**3 - 2030*
{ "pile_set_name": "DM Mathematics" }
uming b is positive. b**45056 Simplify ((m*m**(-1))/m)**18*(((m/(m*(m*m**(-5))/m*m)*m*m)/m)/m)/m**1 assuming m is positive. m**(-15) Simplify y**(-28)*y/(y*(y**(2/33)*y)/y)*y**14*y**(-19)*y*y assuming y is positive. y**(-1025/33) Simplify ((p**(2/57)*p*p/p**(-2/5))**(2/5))**(-46) assuming p is positive. p**(-63848/1425) Simplify (l*(l*l**(-8))/l*l)**(-2/29)*l*l**(-1/3)/l*(l/l**(-13))/l assuming l is positive. l**(1138/87) Simplify ((b/(b**6/b*b))/b)**(-6/5)/(b/(b**(-1/3)/b)*((b**(-24)*b)/b)/b) assuming b is positive. b**(448/15) Simplify ((o/o**1)**24/(o**(-7)/(o*o/(o*(o**(2/13)/o)/o))))**(-2/49) assuming o is positive. o**(-256/637) Simplify i/i**(-2/3)*i/(i/i**4)*i*i**(-9)*i*i**(2/11) assuming i is positive. i**(-38/33) Simplify (((z*z**(-1/4)/z)/(z**(3/2)*z))**(-32))**(-39) assuming z is positive. z**(-3432) Simplify ((g/(g/g**12))**(2/25))**(29/3) assuming g is positive. g**(232/25) Simplify ((h**(-1)/h)/h)/((h*h**17*h)/h*h)*h**(1/7)*h**14*h assuming h is positive. h**(-48/7) Simplify (b**8*b*b)/(b/(b*b**(12/5)*b))*b**(-4/11)/b**(-2/29) assuming b is positive. b**(20903/1595) Simplify ((l**(-10)*l*l**(4/5))**(1/30))**(-1/42) assuming l is positive. l**(41/6300) Simplify ((f*f/f**0*(f*f*f**(-5)*f*f)/f)/((((f/(f**(-1/3)*f))/f)/f)/f**(-5)))**(1/25) assuming f is positive. f**(-2/15) Simplify (n/n**7)**(-4)/((n**(-1/27)/n)/n*(n/((n**(-1)*n)/n))/n) assuming n is positive. n**(676/27) Simplify ((k**20*k)/(k*(k**(-1/5)/k)/k))/(k**(-2/79)*k**(-2/35)) assuming k is positive. k**(61611/2765) Simplify (g*g**(2/7)*g**(10/11))/(g**(-2/5)/(g*g*g**0/g)) assuming g is positive. g**(1384/385) Simplify ((k*(k*k**7*k)/k)/((k/(k**(-7)/k))/k)*k**(-2/5)*k*k*k*k/(k/k**(2/7))*k)**18 assuming k is positive. k**(3078/35) Simplify h/(h/(h/(h*h**(2/7)*h*h)))*h**(-5/6)*(h*h**(2/7))**(-5) assuming h is positive. h**(-401/42) Simplify (c**2/(c**(2/5)*c*c)*c**(-1/9)*c*c**5)**(-44) assuming c is positive. c**(-10868/45) Simplify (x**1/x)/(x/x**(9/4))*x/(x*x*x**(-4)*x)*x*((x**(-8)*x)/x)/x assuming x is positive. x**(-19/4) Simplify ((j**(-3/8)*j)/j**(2/31))/((j*j*j/(j*j/(j**(-7/2)*j)))/j**(-3/5)) assuming j is positive. j**(1811/1240) Simplify ((o/o**(1/5)*(o*o**(-1/2))/o*o)/((o/(o*o*o/o**0))/(o/(o*o*o*o*o**(2/7)*o)*o)))**2 assuming o is positive. o**(1/35) Simplify (y**(-2))**43/(y*y**(-3))**(-2/117) assuming y is positive. y**(-10066/117) Simplify ((((x*x*x*x**(-1)*x)/x*x*x*x)**(-4/7))**(-8/11))**(-9/7) assuming x is positive. x**(-1440/539) Simplify g*g/(g/g**(1/11))*g*((g*g**(-10)/g)/g)/g*g/(g/(g/(g**10*g))*g)*g/g**10 assuming g is positive. g**(-329/11) Simplify (((p**(1/3))**(2/143))**47)**18 assuming p is positive. p**(564/143) Simplify ((q/(q*q**0))**(-3/31)/(q/q**(2/9)*q**6))**33 assuming q is positive. q**(-671/3) Simplify (y*y/((y**3*y)/y)*y*y*y**16/y*y)/(y/y**(-5))**(-9) assuming y is positive. y**71 Simplify (b/b**(2/43))**(-15)*(b**(-1/4)*b*b)**(-7) assuming b is positive. b**(-4567/172) Simplify ((y**(-26))**(-3/11))**(-3/7) assuming y is positive. y**(-234/77) Simplify (z*(z/(z*z/(z*z**(-1)*z))*z)/z)**48/(z**(7/2)*z*z**5) assuming z is positive. z**(77/2) Simplify (h*h**(-20)/h)/(h/h**(11/5))*h**(3/14)*h*h*((h*h**(-16)*h)/h)/h*h assuming h is positive. h**(-2211/70) Simplify v**12/(v*v**(6/5)*v)*v/(v/v**(-11))*v*v**(-6/11) assuming v is positive. v**(-96/55) Simplify (s*s**(2/7)*s)/(s**(-2/37)*s)*(s**13*s)/s*s*s/(s**(-2/17)/s) assuming s is positive. s**(76865/4403) Simplify (p/(p**(-6/7)*p))/p**1*p**(-2/33)*p/(p**4/p) assuming p is positive. p**(-509/231) Simplify ((l**1)**3*l**(-2/13)*l**(-1/8))**(-46) assuming l is positive. l**(-6509/52) Simplify (r/r**(-20)*r**(-27))/(r**(4/11))**(-20) assuming r is positive. r**(14/11) Simplify (s/(s*s*s**(-5))*s*s**(-3/4)*s*(s/(s*((s**(-2/5)*s)/s)/s*s*s))**44)**(-3/16) assuming s is positive. s**(1269/320) Simplify (u/(u*u**16))/u**(-8/7)*u*u**(-1/2)*u**(2/9)/u*u assuming u is positive. u**(-1781/126) Simplify (b*b**(-3/2)*b**(4/11)/b)/(b**(2/11)/b*b)**(-4/13) assuming b is positive. b**(-309/286) Simplify (d*d**(1/9))/((d/(((d*d**(-21))/d)/d))/d)*(d/(d*d*d**(-7)*d))/(d/((d*(d*d**(1/7))/d)/d)) assuming d is positive. d**(-1055/63) Simplify ((u**(-2/27)/(u/(u/u**(6/11))))**(20/7))**(-3/10) assuming u is positive. u**(368/693) Simplify ((d/(((d/(d/((d*d**(2/15))/d))*d)/d)/d)*d*(d/((d/d**(3/5))/d)*d)/d)**(-37))**(-13/3) assuming d is positive. d**(32227/45) Simplify (b**(1/5)*b*b/((b/(b/b**(-2/3)))/b)*(b**(1/4))**(3/8))**43 assuming b is positive. b**(81743/480) Simplify (o*o**(-1))/(o**(-1/4)/o)*o**(2/3)/(o*(o**(3/7)/o)/o*o) assuming o is positive. o**(125/84) Simplify (n**(-7)/((n*n**(-1))/n))/((n/(n**(2/9)*n*n)*n)/n*n*n*n**(3/10)/n) assuming n is positive. n**(-547/90) Simplify ((a/a**(-4))/a*a/(a/a**6)*a)/(a*((a*a**(-3))/a)/a)**(-1/22) assuming a is positive. a**(239/22) Simplify (y/y**(1/11))**(-9/4)/(y**(-13)*y)**(-14/3) assuming y is positive. y**(-1277/22) Simplify (x**(-7)/x**24)/(x**(-17)/((x/((x*((((x*x**(-2/9))/x*x)/x*x)/x)/x)/x))/x)) assuming x is positive. x**(-115/9) Simplify ((g*g**(-15))/g*g**(-1/5))/(g/(g**(-16)/g))**(2/75) assuming g is positive. g**(-392/25) Simplify (h/h**(-3/13)*h)/h**(2/9)*((h*h**(-1/19))/h)/((h*((h*h**(-2))/h)/h*h)/h) assuming h is positive. h**(8794/2223) Simplify ((x/(x*x**(-1/11)*x))/((((((x/x**9)/x)/x)/x)/x*x)/x*x))**1 assuming x is positive. x**(111/11) Simplify ((s/(s*s**(-4)))/((((s/(s*s**(-7)*s))/s)/s)/s))/(s**2)**(-14/13) assuming s is positive. s**(41/13) Simplify ((x**(2/15)/x)/x*x*x/(x*(x*x*x*x*x*x**(8/5)*x)/x))/(x/(x/x**10)*x*x**(5/2)) assuming x is positive. x**(-629/30) Simplify ((s**(4/3))**5)**(-41) assuming s is positive. s**(-820/3) Simplify ((r*r**(-1)*r)**24/(r*r*r**(-2))**(2/35))**(-44) assuming r is positive. r**(-1056) Simplify (b*b/(b**(2/9)/b))**(-4/11)*b**(-23)/((b/(b*b**(4/5)))/b) assuming b is positive. b**(-10994/495) Simplify ((j/(j*j**(-2/3)))/((j/((j**(-27)/j)/j))/j))/(j/((j/((j/j**(5/14))/j*j))/j)*j*j**(-13/2)) assuming j is positive. j**(-514/21) Simplify ((h**5*h*h/(h**2/h))/(h*h**(-2/7))**(7/3))**(-47) assuming h is positive. h**(-611/3) Simplify (d*d**(2/13))/d**(2/41)*d**(1/3)/d**(-13) assuming d is positive. d**(23087/1599) Simplify ((x**0*x*x)**(-2/5)/(x*x*(x*x**(-1))/x*x)**15)**(-2/61) assuming x is positive. x**(308/305) Simplify (t**(-1/5)*t*t)/t*t*t**2*(t**3)**5 assuming t is positive. t**(94/5) Simplify (c**(-1/4))**26*c/(c*c**(-1/3)*c*c)*c**8 assuming c is positive. c**(-1/6) Simplify (n**(-3/7)*n**3*n)/((n*n/(n/(n**(2/99)/n))*n)/n**(5/13)) assuming n is positive. n**(26449/9009) Simplify ((l/(l/(l*l/(l/(l**12/l)))))**(-37))**(1/23) assuming l is positive. l**(-444/23) Simplify w*((w**(2/7)/w*w*w)/w)/w*w*w*w/w**2*w*w**(3/11)*w/w**5 assuming w is positive. w**(-111/77) Simplify ((p/p**(-1))**(7/6)/((p*p*p**(2/3))/p**(1/9)))**4 assuming p is positive. p**(-8/9) Simplify (r**22*r)**(-17)*(r/r**4)/(r*r/r**(7/3)) assuming r is positive. r**(-1181/3) Simplify ((c**24/c)/c)/(c/(c*c**(-24/5)*c))*((c/(c*(c*c**(-2/21)*c)/c*c))/c)**(2/3) assuming c is positive. c**(5123/315) Simplify (z*z**1*z**4)/(z/(z*z**6*z)*z**(1/3)) assuming z is positive. z**(38/3) Simplify (o/(o**(-27)*o))/(o**(6/5)/o)*o**4*o/(o**(-3/5)/o) assuming o is positive. o**(167/5) Simplify ((m*m/(m/(m*m**26*m)))/(m*m*(m/m**(-2/145))/m))**19 assuming m is positive. m**(74347/145) Simplify ((z/(z*z**(-14)))/(z*z**(1/19)/z))/((z/(z**(3/7)*z))/z*z/(z/z**(-3/2))) assuming z is positive. z**(4489/266) Simplify (h**(-1/2)*h**2)/(h**(-3/4)*(h/(h*h**(-16/3)))/h) assuming h is positive. h**(-25/12) Simplify ((n**(-10/7)*n)/n*n*n**(-2/99))**21 assuming n is positive. n**(-311/33) Simplify c**(-5)/c*c/((c/(c**(3/5)*c))/c)*c**(-8)*c/((c*c**(-7)/c*c*c)/c*c) assuming c is positive. c**(-27/5) Simplify (f*f/f**(-27)*f*f*f*f*f**(-21)*f)/(f**(-22)*f**(-2/3)) assuming f is positive. f**(107/3) Simplify ((x**(-2))**(-38)/((x**(-1/3)/x)/x)**(-17))**(-30) assuming x is positive. x**(-1090) Simplify (w**18/(w/(w*w/(w/(w/(w**(5/9)*w))))))/(((w/(w/w**(-6/7)*w))/w*w)/(w/(w/(w/w**(5/2))))) assuming w is positive. w**(2243/126) Simplify (h*h*h**(-8)*h*h**5*h**6/h*h/(h*h*h*h*h/h**1*h*h))**(-27) assuming h is positive. 1 Simplify (c*(c/c**(-1/30))/c)/(((c*c**(-2/39))/c)/c)*c**(-22/7)*c*c**8 assuming c
{ "pile_set_name": "DM Mathematics" }
6 divide 225981? False Is 20 a factor of 38710? False Is 7 a factor of 388051? False Is 242 a factor of 3591919? False Does 251 divide 2444991? True Is 1268535 a multiple of 95? True Is 6558553 a multiple of 918? False Is 236 a factor of 48616? True Is 18 a factor of 856741? False Is 108 a factor of 7917264? True Is 1560426 a multiple of 159? True Is 321377 a multiple of 28? False Is 1019349 a multiple of 425? False Is 103 a factor of 1371464? False Is 41 a factor of 57400? True Is 12 a factor of 356484? True Is 681821 a multiple of 379? True Is 140 a factor of 348040? True Does 34 divide 621332? False Is 198 a factor of 139986? True Does 706 divide 23275408? True Is 88 a factor of 511526? False Is 728355 a multiple of 240? False Is 22 a factor of 1895256? True Is 175 a factor of 62300? True Does 13 divide 2803580? True Does 237 divide 456575? False Does 45 divide 1729? False Is 6 a factor of 26244? True Does 5 divide 128605? True Is 547 a factor of 310696? True Does 81 divide 220353? False Is 11 a factor of 3433647? False Is 11172 a multiple of 84? True Is 19 a factor of 367740? False Is 230800 a multiple of 11? False Is 282897 a multiple of 284? False Is 13792281 a multiple of 13? False Is 3 a factor of 83619? True Does 472 divide 563568? True Is 24 a factor of 248706? False Is 7 a factor of 593880? True Is 4 a factor of 28600? True Is 230512 a multiple of 81? False Is 3297900 a multiple of 5? True Is 1400952 a multiple of 3? True Is 22 a factor of 188276? True Does 41 divide 1539878? True Is 40 a factor of 930280? True Is 136300 a multiple of 580? True Is 138 a factor of 33948? True Is 6111795 a multiple of 5? True Is 6 a factor of 71388? True Does 53 divide 794292? False Is 134390 a multiple of 57? False Is 34 a factor of 16388? True Does 138 divide 7438476? True Is 21 a factor of 74130? True Is 2 a factor of 36072? True Does 27 divide 14939025? False Is 58 a factor of 12633676? True Is 108 a factor of 73198? False Is 186810 a multiple of 195? True Is 19595968 a multiple of 16? True Is 212863 a multiple of 21? False Is 101 a factor of 293102? True Is 12 a factor of 29400? True Does 74 divide 257657? False Does 30 divide 2452491? False Is 88477 a multiple of 21? False Is 9 a factor of 2441840? False Is 349020 a multiple of 9? True Is 486 a factor of 107406? True Is 1041 a multiple of 239? False Is 2255409 a multiple of 13? True Does 61 divide 52137? False Is 29 a factor of 84651? True Does 38 divide 3212428? False Is 4 a factor of 784316? True Does 92 divide 53728? True Does 39 divide 402597? True Does 141 divide 289946? False Is 633 a factor of 2194611? True Is 28928 a multiple of 17? False Is 235482 even? True Is 191 a factor of 1209524? False Is 6 a factor of 626675? False Is 223940 a multiple of 20? True Does 61 divide 2823062? False Is 1610144 a multiple of 23? False Does 14 divide 401100? True Is 19 a factor of 548408? False Is 130 a factor of 1596530? True Is 64 a factor of 34880? True Is 636984 a multiple of 72? True Is 15 a factor of 773175? True Is 452 a factor of 839332? False Is 289688 a multiple of 70? False Is 23 a factor of 4937? False Is 709 a factor of 1569350? False Is 6 a factor of 1567051? False Does 44 divide 2765268? True Does 28 divide 307580? True Does 76 divide 421094? False Is 661915 a multiple of 48? False Is 16 a factor of 53616? True Does 60 divide 335238? False Does 253 divide 890845? False Does 42 divide 198492? True Is 7896 a multiple of 2? True Is 246 a factor of 8430912? True Does 614 divide 1264329? False Does 16 divide 134288? True Is 41 a factor of 21045? False Is 28167 a multiple of 123? True Is 921 a factor of 2276777? False Does 33 divide 18388? False Is 88550 a multiple of 53? False Is 46 a factor of 5793363? False Is 20 a factor of 3504580? True Is 229750 a multiple of 50? True Does 9 divide 47261? False Is 102858 a multiple of 474? True Is 932352 a multiple of 8? True Does 23 divide 2691667? True Is 78 a factor of 1256378? False Is 208233 a multiple of 9? True Does 912 divide 5337766? False Is 23114 a multiple of 13? True Is 7013556 a multiple of 12? True Does 27 divide 2672514? True Is 5369812 a multiple of 49? True Does 12 divide 1695864? True Is 197 a factor of 2695767? False Is 3 a factor of 90103? False Is 22 a factor of 332222? True Is 10 a factor of 86572? False Does 31 divide 127317? True Does 16 divide 1884192? True Does 57 divide 57467? False Does 316 divide 99763? False Does 43 divide 6424845? True Is 13 a factor of 560695? False Is 554217 a multiple of 330? False Is 1444309 a multiple of 3? False Does 240 divide 72402? False Does 10 divide 6208680? True Is 149 a factor of 930207? True Is 5218470 a multiple of 416? False Is 368 a factor of 629280? True Is 18 a factor of 136881? False Does 259 divide 24864? True Does 19 divide 2005355? True Does 149 divide 711540? False Is 1451200 a multiple of 160? True Does 33 divide 55058? False Does 50 divide 96978? False Is 75 a factor of 32100? True Is 13 a factor of 378404? True Does 163 divide 619237? True Is 13712094 a multiple of 22? True Is 77 a factor of 2229447? False Is 505 a factor of 2598730? True Is 240 a factor of 3182640? True Is 64 a factor of 154241? False Is 154993 a multiple of 59? True Is 2900070 a multiple of 434? False Is 116463 a multiple of 21? False Is 759 a factor of 1928619? True Is 2164360 a multiple of 110? True Is 48242 a multiple of 3? False Is 9 a factor of 1696527? True Is 221 a factor of 149396? True Is 155551 a multiple of 18? False Is 1643802 a multiple of 6? True Does 1430 divide 10666370? True Is 1767736 a multiple of 48? False Is 575498 a multiple of 29? False Does 67 divide 3246083? True Is 138 a factor of 39227742? True Does 52 divide 496704? True Does 20 divide 879146? False Is 7228471 a multiple of 38? False Does 6 divide 709158? True Is 131144 a multiple of 40? False Does 24 divide 52632? True Is 3677760 a multiple of 60? True Is 118747 a multiple of 56? False Does 77 divide 75383? True Is 171 a factor of 39062? False Does 79 divide 10236636? False Is 58 a factor of 39792? False Is 47730 a multiple of 3? True Is 1505999 a multiple of 106? False Is 17957659 a multiple of 161? False Does 364 divide 246428? True Is 225 a factor of 474750? True Is 24764 a multiple of 9? False Does 56 divide 160712? False Does 26 divide 478114? True Is 15 a factor of 209970? True Is 456713 a multiple of 68? False Does 178 divide 20237354? True Is 779 a factor of 2773710? False Is 32598635 a multiple of 143? False Is 1550682 a multiple of 62? True Is 226632 a multiple of 14? True Does 3 divide 58889? False Does 91 divide 167440? True Does 547 divide 1708162? False Is 53 a factor of 347629? False Does 155 divide 17980? True Does 11 divide 229196? True Is 2034472 a multiple of 11? True Is 4 a factor of 58890? False Is 89 a factor of 116275? False Does 75 divide 5744? False Is 1017 a factor of 9468270? True Is 298368 a multiple of 504? True Is 89 a factor of 4975367? True Does 32 divide 104608? True Does 138 divide 1104600? False Is 1016364 a multiple of 568? False Is 1013415 a multiple of 24? False Does 22 divide 58540? False Does 31 divide 6935196? True Is 110 a factor of 1441617? False Does 152 divide 1062784? True Does 552 divide 506736? True Is 2300625 a multiple of 45? True Does 146 divide 2755458? True Is 431968 a multiple of 28? False Does 13 divide 5740943? True Is 729408 a multiple of 15? False Is 1543486 a multiple of 82? True Is 5993000 a multiple of 500? True Is 131846 a multiple of 22? True Does 5 divide 81450? True Is 438668 a multiple of 14? False Is 13431870 a multiple of 90? True Is 151 a factor of 87930? False Is 111 a factor of 18152587? False Does 34 divide 88978? True Does 490 divide 681100? True Is 142 a factor of 58386? False Is 24 a factor of 210624? True Is 198895 a multiple of 198? False Is 29 a factor of 107097? True Is 14833272 a multiple of 24? True Does 39 divide 231309? True Is 5396606 a multiple of 24? False Is 441298 a multiple of 156? False Is 566200 a multiple of 760? True Is 137 a factor of 56379? False Does 104 divide 52936? True Is 1675082 a multiple of 103? False Is 10 a factor of 13065320? True Is 93 a factor of 4617357? True Is 15 a factor of 2428561? False Does 103 divide 1751? True Doe
{ "pile_set_name": "DM Mathematics" }
5091. -36*z Collect the terms in -276*t**2 - 1730*t**2 - 32*t + 32*t. -2006*t**2 Collect the terms in -2*v + 2*v + 3071 - 158*v**2 + 166*v**2 - 3071. 8*v**2 Collect the terms in -1 + 3 - 4668*r + 4673*r - 5 + 3. 5*r Collect the terms in -4*n**2 - 53 + 0*n**2 + 23 + 2*n**2. -2*n**2 - 30 Collect the terms in 9*h**3 - 14*h + 11*h**3 - 36*h**3 - 4*h. -16*h**3 - 18*h Collect the terms in -65 + 6*i - 15 - 5*i. i - 80 Collect the terms in 111*j - 5 + 1 - 2 + 5 - 56*j. 55*j - 1 Collect the terms in 2*r + 0*r**2 + 57*r**2 + 76*r**2 + 7*r**2. 140*r**2 + 2*r Collect the terms in -4 + 4 + 1728*g - 1761*g + 6*g**2. 6*g**2 - 33*g Collect the terms in 548805 + 188*n - 548805. 188*n Collect the terms in -5*j + 0*j**2 + 2*j + 35 + j - 2*j**2 + 50*j**3. 50*j**3 - 2*j**2 - 2*j + 35 Collect the terms in -6 + 6 - 2*s + 6 - 11*s**2 + 9. -11*s**2 - 2*s + 15 Collect the terms in 1155766*g + 18*g**2 - 1155766*g. 18*g**2 Collect the terms in -2 + 27*d + 86*d**2 - 27*d. 86*d**2 - 2 Collect the terms in 5849*z**2 - 5845*z**2 + 0*z**3 - 4*z**3. -4*z**3 + 4*z**2 Collect the terms in -77 + 33 + 44 - 89*f. -89*f Collect the terms in -8271*u**2 + 114*u**3 + 4*u + 8271*u**2 - 4*u. 114*u**3 Collect the terms in -1 + 0 - 8356*w**2 + 8357*w**2. w**2 - 1 Collect the terms in -1 - 4 + 4 + 4730*h**2 + 816*h**2 - 1. 5546*h**2 - 2 Collect the terms in -145*z**3 + 43*z**3 + 129*z**3. 27*z**3 Collect the terms in -8 + 51284*n + 36 - 51289*n. -5*n + 28 Collect the terms in -10*r - 3*r**3 + 11*r - 42*r**3 - 18*r**3. -63*r**3 + r Collect the terms in 6*p - 20 + 2*p + 5 + 257. 8*p + 242 Collect the terms in 10*l**2 + 7 + 0 + 56*l - 3 - 56*l. 10*l**2 + 4 Collect the terms in 40*n**3 + 41*n**3 - 17*n**3 + 16*n**3. 80*n**3 Collect the terms in g**2 - 10 - 4 - 32. g**2 - 46 Collect the terms in -510*g**2 + 69*g**2 - 492*g**2. -933*g**2 Collect the terms in -4*o**3 + 2337 - 2337. -4*o**3 Collect the terms in 12*z + 57*z + 36*z - 27*z. 78*z Collect the terms in -917843*f**2 + 2*f**3 + 458927*f**2 + 458916*f**2. 2*f**3 Collect the terms in 230923*r**3 + 4*r - 4*r - 232277*r**3. -1354*r**3 Collect the terms in 7*z**2 + 4*z**2 - 19*z**2 + 3*z**2 + 4*z**2. -z**2 Collect the terms in -68*u + 42*u + 7*u + 12*u. -7*u Collect the terms in -72*s**3 - 23 + 119*s**3 - 22 + 45. 47*s**3 Collect the terms in -254*k + 760*k + 38*k**2 - 253*k - 252*k. 38*k**2 + k Collect the terms in 5*o - 5*o + 388*o**2 - 1943*o**2 + 1555*o**2 - 15*o**3. -15*o**3 Collect the terms in 16*h**2 - 70*h - 2*h**3 + 18 - 18. -2*h**3 + 16*h**2 - 70*h Collect the terms in -23705*t**3 + 47434*t**3 - 23723*t**3. 6*t**3 Collect the terms in -1 - 2 + 12 - 5 - 11*d. -11*d + 4 Collect the terms in -10 - 6 + 3 + 13 + 7*g + 20*g. 27*g Collect the terms in 27*l**3 - 8 - 22*l**3 + 23. 5*l**3 + 15 Collect the terms in -13*a + 11840 - 11840. -13*a Collect the terms in -12*s**3 - s**3 + 767 - s**3 - 752. -14*s**3 + 15 Collect the terms in 5*v**2 + 56965334 - 56965334. 5*v**2 Collect the terms in 605*n**3 + 610*n**3 + 575*n**3 - 1796*n**3. -6*n**3 Collect the terms in -107*h**2 + 26*h**2 + 31*h**2 + 40*h**2. -10*h**2 Collect the terms in -1689 - 29*w + 26*w + 1689. -3*w Collect the terms in 41*p - 249328 + 249328. 41*p Collect the terms in 6 + 2*p + p + 30 + 15*p**3 - p. 15*p**3 + 2*p + 36 Collect the terms in 237*i**2 + 31*i - 194*i**2 - 30*i. 43*i**2 + i Collect the terms in -975*q - 1470*q - 4381*q. -6826*q Collect the terms in -1352 + 2*f - 5613 - 2093. 2*f - 9058 Collect the terms in 81097*a**3 - 81096*a**3 + 15*a**2 + 13*a**2. a**3 + 28*a**2 Collect the terms in -6463232153*w**2 + 6463232153*w**2 + 5*w**3. 5*w**3 Collect the terms in 6*i**2 + 5727 - 5714 - i**2 + i**3 - 5*i**2. i**3 + 13 Collect the terms in 237 + 9*v - 240 + 840. 9*v + 837 Collect the terms in 182*i**2 + 120*i**2 + 63*i - 63*i. 302*i**2 Collect the terms in -7947*r + 16 - 15 + 7951*r. 4*r + 1 Collect the terms in 6213*q**2 - 3111*q**2 - 3103*q**2 + 1. -q**2 + 1 Collect the terms in 10*u**2 - 3*u**2 - 17*u**3 + 62*u**3 + 14*u**2. 45*u**3 + 21*u**2 Collect the terms in -a + 3 + 1 + 65 - 4. -a + 65 Collect the terms in 0*z**3 + 53*z - 7*z**3 - 82*z. -7*z**3 - 29*z Collect the terms in -16*k - 11*k + 25*k + 1408*k**2. 1408*k**2 - 2*k Collect the terms in -22*t + 12 + 101*t - 17*t - 41*t. 21*t + 12 Collect the terms in -63*k + 9*k - 11*k - 49*k - 11*k. -125*k Collect the terms in 588*s**2 - 1041*s**2 + 225*s**2 - 1 + 1 + 226*s**2. -2*s**2 Collect the terms in -16*z**3 - 10*z**3 + 154*z**3 + 229*z**3. 357*z**3 Collect the terms in -168*l**2 - 5*l**3 + 0*l - l + 149*l**2 + 25*l**3. 20*l**3 - 19*l**2 - l Collect the terms in 4224 - 30954*i**3 - 4224. -30954*i**3 Collect the terms in 7*l**2 + 9*l**2 - 6334*l + 6334*l. 16*l**2 Collect the terms in -97790*v**2 + 19*v**3 + 97789*v**2 + 42*v**3. 61*v**3 - v**2 Collect the terms in -42996*t**3 + 86015*t**3 - 43021*t**3. -2*t**3 Collect the terms in 2*p + 13*p + 13*p + 16*p**3 - 28*p. 16*p**3 Collect the terms in -181*h**2 + 45*h**2 + 18*h**3 + 38*h**2 + 50*h**2 + 48*h**2. 18*h**3 Collect the terms in 7674*l - l**3 - 3876*l - 3798*l. -l**3 Collect the terms in -6*u**2 + 8*u**2 - 7*u**2 - 244 - 283 + 527. -5*u**2 Collect the terms in 19*u**3 - 32462*u + 32462*u. 19*u**3 Collect the terms in -6 + 4 + 17*y + 5*y - 2 - 9*y. 13*y - 4 Collect the terms in 0 - 2 - 389*v**3 + 477*v**3. 88*v**3 - 2 Collect the terms in -65*t**3 + 14*t**3 - 20 - 6*t**3 - 127*t**3. -184*t**3 - 20 Collect the terms in -11 + 11 - 2922*v + 2935*v. 13*v Collect the terms in -1 - 2 - 17004*h - 1 + 17030*h. 26*h - 4 Collect the terms in -99048 - 4*p + 3*p**2 + 99048. 3*p**2 - 4*p Collect the terms in 562 - 5*k**3 + 562 - 1679 + 555. -5*k**3 Collect the terms in 3*y**2 + 460*y - 8*y**2 - 232*y - 225*y. -5*y**2 + 3*y Collect the terms in -4182588*k**2 - 4182558*k**2 + 8365144*k**2. -2*k**2 Collect the terms in 23 - 824*j**3 - 23 + 0. -824*j**3 Collect the terms in -45373*l - 45347*l + 90636*l. -84*l Collect the terms in 3 + 4813*o - 9619*o - 3*o**2 + 4806*o - 3. -3*o**2 Collect the terms in -10*y - 7 - 3 + 18 - 7. -10*y + 1 Collect the terms in 17*g**2 + 3*g**2 - 37*g**3 - 31*g**3 + 71*g**3 - 2*g**2. 3*g**3 + 18*g**2 Collect the terms in -629*v**2 + 1860*v**2 - 631*v**2 - 622*v**2. -22*v**2 Collect the terms in -8*g - 11*g**2 + 14*g - g - 2*g - 5*g. -11*g**2 - 2*g Collect the terms in 279 - 292 - 1108*s**3 + 1124*s**3. 16*s**3 - 13 Collect the terms in -2*y**2 - 21 - 3*y**2 + 10*y**2 - 33*y + 21. 5*y**2 - 33*y Collect the terms in 219 + 217 + 1146*q - 437. 1146*q - 1 Collect the terms in 81395*f**3 - 40692*f**3 - 40699*f**3. 4*f**3 Collect the terms in 6033 + 6035 - 12070 - 36*s. -36*s - 2 Collect the terms in -7613*j**3 + 2 + 7258*j**3 - 4. -355*j**3 - 2 Collect the terms in 2590*s - 225*s**3 - 2590*s + 246*s**3. 21*s**3 Collect the terms in 286 - 848*z - 142 - 144. -848*z Collect the terms in -14*s - 3 + 9*s + 3 + 11*s. 6*s Collect the terms in 757 - 184 - 194 - 201 - 178 - 2*x. -2*x Collect the terms in -26738*s - 16*s**2 + 26738*s. -16*s**2 Collect the terms in -34799 - 34788 + 12*r**2 + 69587. 12*r**2 Collect the terms in -10 - 6 + 16 + 2627*h. 2627*h Collect the terms in 130*p**3 - 451 - 61*p**3 + 454 + 97*p**3. 166*p**3 + 3 Collect the terms in 2040*i**3 - 1022*i**3 - 1020*i**3. -2*i**3 Collect the terms in 4068*r - 8136*r - 25*r**3 + 4068*r. -25*r**3 Collect the terms in 11*j + 2 - 139*j + 109*j - 2. -19*j Collect the terms in 44*t**3 + 1005*t**2 + 925*t**2 - 1930*t**2. 44*t**3 Collect the terms in -7084 - 5*m + 14154 - 7070. -5*m Collect the terms in -42*l - l**2 - 168*l + 2*l**2. l**2 - 210*l Collect the terms in -905 + 905 - 6231*f. -6231*f Collect the terms in 12 - 12 - 1070*p + 3100*p. 2030*p Collect the terms in -1808*p - 2541*p - 3628*p - 2669*p. -10646*p Collect the terms in 1 + 6769*l - 1 - 6769*l + 14*l**2. 14*l**2 Collect the terms in -44*h**3 - 566*h**3 - 1197*h**3 + 121*h**3 - 393*h**3. -2079*h**3 Collect the terms in -404459 + 404459 - 2*y. -2*y Collect the terms in 16*t - 1 - 1 + 2. 16*t Collect the terms in -14 - 16 + 9 + 2 - 3 + 2*j. 2*j - 22 Collect the terms in 2*g**2 - 44*g**3 + 37*g**3 + 42*g**3. 35*g**3 + 2*g**2 Collect the terms in 11343364 - 11343364 + 6*n**2. 6*n**2 Collect the terms in 36*l**2 + 35*l**2 - 157*l**2 + 43*l**2 + 41*l**2. -2
{ "pile_set_name": "DM Mathematics" }
*sqrt(192) + sqrt(192) + sqrt(192))**2 + 3. -2 Simplify (((sqrt(190)*-1 - sqrt(190) - sqrt(190) - sqrt(190))*-3)/(sqrt(40)/(sqrt(4)*-2)))**2 + -4. 10940 Simplify (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1)*5) + sqrt(1331) + sqrt(1331))**2 + (sqrt(121) - (sqrt(121) + (sqrt(121)*-1 + sqrt(121))*-1))/sqrt(11). 110*sqrt(11) + 1356 Simplify (sqrt(35)*-2)/sqrt(7) + sqrt(5) + sqrt(5) - sqrt(5)*-4*-4. -16*sqrt(5) Simplify -5*sqrt(102)/(sqrt(6) - ((1*sqrt(42))/sqrt(7) + sqrt(6))). 5*sqrt(17) Simplify (sqrt(800)*-3 + 2)**2. -240*sqrt(2) + 7204 Simplify (5*(sqrt(275)*1 - sqrt(275)) + sqrt(275))*-5. -25*sqrt(11) Simplify (-5 + -4*2*(sqrt(18)/sqrt(6) - sqrt(3)))**2. 25 Simplify sqrt(2736) + sqrt(2736) + -1 + 4. 3 + 24*sqrt(19) Simplify (6*-4*sqrt(252)*2)**2. 580608 Simplify (sqrt(7) + 2)**2 + 4 - (3 + (-2 + sqrt(7) - sqrt(7) - sqrt(7) - sqrt(7))). 14 + 6*sqrt(7) Simplify sqrt(891) - (3 + (sqrt(891) - -2*sqrt(891)))**2. -8028 - 153*sqrt(11) Simplify (-3 + ((1 + sqrt(243))*-2 - ((sqrt(243) - sqrt(243)*1) + -2)))**2. 108*sqrt(3) + 981 Simplify (5 + sqrt(5) + (sqrt(80))**2)*-1. -85 - sqrt(5) Simplify (sqrt(153)/(sqrt(9)*1*2))**2. 17/4 Simplify ((sqrt(3) + ((sqrt(30)/sqrt(2))/sqrt(5) - sqrt(3)))**2 + sqrt(24)/(sqrt(8) - (sqrt(8) - sqrt(200))))*-2. -6 - 2*sqrt(3)/5 Simplify (sqrt(24) - (sqrt(288)/(sqrt(36)/sqrt(3)) - sqrt(24)))/sqrt(12)*6. 6*sqrt(2) Simplify ((sqrt(65) + -3*(sqrt(65) + sqrt(65)*-4))/sqrt(5))**2. 1300 Simplify (2*(sqrt(117) - (-2*sqrt(117) + sqrt(117) + -4) - sqrt(117))*-6)**2. 3456*sqrt(13) + 19152 Simplify (3*-2*(sqrt(170)/(sqrt(30)/sqrt(3)) - 5*-1*sqrt(17)))**2. 22032 Simplify 2 + sqrt(1900) + (-4*(0 + sqrt(1900)))**2. 10*sqrt(19) + 30402 Simplify ((sqrt(68) + (sqrt(68)*-3 - sqrt(68)))/sqrt(4) - (-3 + sqrt(68)/sqrt(4)))*-2. -6 + 8*sqrt(17) Simplify -6*(sqrt(19) + 1*sqrt(19) + 4 - (sqrt(1216) - sqrt(1216)*1))**2. -552 - 96*sqrt(19) Simplify (sqrt(104) - (1*sqrt(104)*-1 - sqrt(104)))/(sqrt(968) + sqrt(968)*-1 + sqrt(968)). 3*sqrt(13)/11 Simplify ((sqrt(72)/sqrt(4)*-6)/(-4*sqrt(54)))**2. 3/4 Simplify 4 + sqrt(832)*5. 4 + 40*sqrt(13) Simplify (3*(sqrt(19) + -3*sqrt(76)))**2. 4275 Simplify (-5*sqrt(475) + 0 + sqrt(19) + -2)**2*3. 288*sqrt(19) + 32844 Simplify ((4*sqrt(1425))/(sqrt(432)*-3 - sqrt(432) - sqrt(3)))**2. 7600/2401 Simplify (sqrt(84) - sqrt(84)*-2*-5)/sqrt(12). -9*sqrt(7) Simplify 1*sqrt(11) + 2 + 1. 3 + sqrt(11) Simplify ((sqrt(704) - (sqrt(704) + sqrt(704)*-1) - sqrt(704))*-1 + (sqrt(704) - 1*-1*sqrt(704)))**2. 2816 Simplify (sqrt(84) + ((sqrt(84) + sqrt(84)*-3 - sqrt(84)) + sqrt(84))*4)/(sqrt(972)*-3). 7*sqrt(7)/27 Simplify (sqrt(52)/(sqrt(4)*1))**2 + sqrt(13) - (sqrt(130)*-2)/sqrt(10). 3*sqrt(13) + 13 Simplify 2*(5 + -1*sqrt(3) + sqrt(3) - sqrt(3))*4. -8*sqrt(3) + 40 Simplify (2*-1*sqrt(153))/sqrt(324). -sqrt(17)/3 Simplify 5*-2*sqrt(396). -60*sqrt(11) Simplify (sqrt(96)/sqrt(128))/(sqrt(4) - 3*2*sqrt(4) - sqrt(4)). -sqrt(3)/24 Simplify sqrt(66)/(sqrt(24)*-4 - sqrt(6)). -sqrt(11)/9 Simplify -5 + 2 + (sqrt(425)*2 - sqrt(425)). -3 + 5*sqrt(17) Simplify (sqrt(1088)*2*-4 + -1)**2. 128*sqrt(17) + 69633 Simplify (-2*(-1*sqrt(44) + sqrt(44)))/(sqrt(24)/sqrt(96)). 0 Simplify 0 + sqrt(5) + (0 + sqrt(500))**2 + -1. sqrt(5) + 499 Simplify (2*sqrt(144))/(2*sqrt(8)*-3). -sqrt(2) Simplify (sqrt(304) - (4 + (2*sqrt(304))**2 - sqrt(304))) + -4. -1224 + 8*sqrt(19) Simplify (-6*(sqrt(65)*-1)/sqrt(5))**2*-4. -1872 Simplify (sqrt(13) - sqrt(104)/(-1*sqrt(8)) - sqrt(13) - (sqrt(1300) + -1))**2. -18*sqrt(13) + 1054 Simplify (0 + (1*sqrt(57))/sqrt(3))**2. 19 Simplify (sqrt(612) + (sqrt(612) - ((2*sqrt(612) - sqrt(612)) + 2) - sqrt(612)) + sqrt(2448) + -3*(-2*sqrt(2448) - sqrt(2448) - sqrt(2448)))**2. -624*sqrt(17) + 413716 Simplify ((sqrt(252) + 1 - sqrt(252)) + sqrt(252) + -5)**2 + 3 + (sqrt(700)*-1)**2. -48*sqrt(7) + 971 Simplify (sqrt(176)*-1 + sqrt(176))**2*2. 0 Simplify (1*(1 + sqrt(63) + -5))**2. -24*sqrt(7) + 79 Simplify (sqrt(91) - 6*sqrt(91)*2)/(1*sqrt(28)). -11*sqrt(13)/2 Simplify (sqrt(21)/sqrt(28))**2 - (0 + sqrt(3) + sqrt(3))**2*5. -237/4 Simplify (3 + (sqrt(13) + -1)**2)*-3. -51 + 6*sqrt(13) Simplify 0 + 2 + sqrt(175). 2 + 5*sqrt(7) Simplify (sqrt(66)*-2)/sqrt(6) - sqrt(88)/(sqrt(32)/sqrt(4)). -3*sqrt(11) Simplify (sqrt(96) - sqrt(6))/sqrt(3) - sqrt(2) - (-2 + sqrt(50)). -3*sqrt(2) + 2 Simplify (sqrt(13) - (sqrt(13) + -1))*-6 + (sqrt(52)*-6)**2. 1866 Simplify 3 + sqrt(33)/(sqrt(3) + sqrt(48)). sqrt(11)/5 + 3 Simplify (sqrt(1331)*1 + -5)**2 + 2. -110*sqrt(11) + 1358 Simplify -1*(sqrt(19) + -3*(-2*sqrt(19) - sqrt(19) - sqrt(19) - sqrt(19)) + 3*(sqrt(19) + 0 + sqrt(19)))**2. -9196 Simplify -4 + (sqrt(243)*-2 + sqrt(3) + sqrt(3) + 1 + 1)*6. -96*sqrt(3) + 8 Simplify 4 + sqrt(3) + (-2 + sqrt(3))**2 - (-1*sqrt(48))**2. -37 - 3*sqrt(3) Simplify (sqrt(2299)*1 + -1)**2 + -1*sqrt(2299) + 4. -33*sqrt(19) + 2304 Simplify (-4*(sqrt(187) + 3*sqrt(187)))/(sqrt(275) + 2*sqrt(275) + sqrt(275) - sqrt(275)). -16*sqrt(17)/15 Simplify (2 + (sqrt(19) - sqrt(684)*4 - (sqrt(1216) + 1 + sqrt(1216))))**2. -78*sqrt(19) + 28900 Simplify (-2*sqrt(637)*2 - (sqrt(637)*-2 + 1))**2. 28*sqrt(13) + 2549 Simplify (sqrt(136)/sqrt(4)*4)/sqrt(2) + (5 + (sqrt(17) - (sqrt(17) + sqrt(153)/sqrt(81))))**2. 2*sqrt(17)/3 + 242/9 Simplify (-1*-4*(sqrt(95)/sqrt(5) - sqrt(19)))**2. 0 Simplify (1*(sqrt(117) + (sqrt(117)*-1 - sqrt(117))*4 + (1 + sqrt(117))*-5 + sqrt(117)))**2. 330*sqrt(13) + 14182 Simplify (1 + sqrt(448) + 5)**2 + sqrt(448) + (sqrt(448)*-1)**2 + 4. 104*sqrt(7) + 936 Simplify sqrt(1053) - (sqrt(1053) + -2 + 4). -2 Simplify -3*sqrt(343) + sqrt(700) + 4. -11*sqrt(7) + 4 Simplify (4*sqrt(1250))/(sqrt(640)*1 + sqrt(640)). 5*sqrt(5)/4 Simplify (5*(sqrt(72) + sqrt(8)))/(2*sqrt(4)*1) + 1. 1 + 10*sqrt(2) Simplify (-1*sqrt(171)*3)/(sqrt(81) - (sqrt(81)*1 - sqrt(81))). -sqrt(19) Simplify ((2*sqrt(3584))/((sqrt(72) - sqrt(72)*-1)/sqrt(9)))**2. 448 Simplify -5*sqrt(34)/sqrt(2) - (sqrt(17) + -1)*5. -10*sqrt(17) + 5 Simplify (sqrt(17) - (sqrt(17) - (sqrt(1700) + 2))) + sqrt(17) + ((sqrt(17) - sqrt(85)/sqrt(5)) + -2)**2. 6 + 11*sqrt(17) Simplify (-5 + -5 + -1 + sqrt(19) + sqrt(2736) + sqrt(2736) + sqrt(2736) + 2*sqrt(2736) + -3)**2. -1708*sqrt(19) + 70895 Simplify 0 + 2 + sqrt(5) + 5. sqrt(5) + 7 Simplify (2*sqrt(275) + 1 + 5)**2. 120*sqrt(11) + 1136 Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) - -3*sqrt(77)*-4 - sqrt(77) - sqrt(77))))) - sqrt(77))/(sqrt(56)/sqrt(2)))**2. 539 Simplify ((sqrt(130) + -1*-1*sqrt(130))/(sqrt(20)/sqrt(2)*4))**2. 13/4 Simplify ((sqrt(102) - sqrt(102)*1)/sqrt(3))/(sqrt(22)/sqrt(44)). 0 Simplify ((sqrt(800)*-2)/(sqrt(10) - sqrt(60)/sqrt(54) - sqrt(10) - sqrt(10)))**2. 180 Simplify (sqrt(475) + -4)**2 + -5. -40*sqrt(19) + 486 Simplify ((sqrt(572)*2)/sqrt(11))/((sqrt(96)/sqrt(3))/sqrt(8)). 2*sqrt(13) Simplify -4*sqrt(26)/(sqrt(224)/sqrt(7)). -sqrt(13) Simplify 3 + (-2*sqrt(11)*2 - sqrt(11)). -5*sqrt(11) + 3 Simplify (1*sqrt(20)/sqrt(4) + 5 + sqrt(405))**2. 100*sqrt(5) + 525 Simplify 4 + (sqrt(7) - (sqrt(1008) - (-1*sqrt(1008))**2))*2. -22*sqrt(7) + 2020 Simplify sqrt(112)*-2 + 3. -8*sqrt(7) + 3 Simplify sqrt(10)/(-1*sqrt(5)*3). -sqrt(2)/3 Simplify (sqrt(91) + (sqrt(91) + (sqrt(91)*1 - sqrt(91))*5 - sqrt(91) - sqrt(91) - sqrt(91)) + sqrt(91))/(sqrt(112)*1)*-1. 0 Simplify 4 + sqrt(19) + sqrt(684) - sqrt(171)/(2*sqrt(9)). 4 + 13*sqrt(19)/2 Simplify -3*6*(sqrt(11) + (sqrt(88) + sqrt(88)*2 - sqrt(88))/sqrt(8) + sqrt(11) + 5 + sqrt(176)). -144*sqrt(11) - 90 Simplify (-4*-3*sqrt(36))/((sqrt(72)/sqrt(3))/sqrt(2)). 12*sqrt(3) Simplify (5*sqrt(40))/sqrt(8) + ((-1 + sqrt(35)/sqrt(7))**2 - sqrt(5)). 2*sqrt(5) + 6 Simplify 3*sqrt(6)/sqrt(2)*-6. -18*sqrt(3) Simplify (5 + (-2*sqrt(272) - sqrt(17)))*6 + 4. -54*sqrt(17) + 34 Simplify ((sqrt(880)*2)/sqrt(11))**2 - (sqrt(20) + (sqrt(2420) - (1 + sqrt(2420))) + sqrt(2420)). -24*sqrt(5) + 321 Simplify (sqrt(63)*1)**2 - (sqrt(168)/sqrt(3))/sqrt(8). -sqrt(7) + 63 Simplify (-1*sqrt(75) + 1 - (sqrt(75)*-1 + 3))**2. 4 Simplify (sqrt(40) - sqrt(360)*-4)/(4*1*sqrt(8)). 13*sqrt(5)/4 Simplify -2 + (sqrt(63) + sqrt(7))*-6. -24*sqrt(7) - 2 Simplify (sqrt(128) + 1 + sqrt(128))*-6. -96*sqrt(2) - 6 Simplify sqrt(22)/(sqrt(16)/sqrt(128)). 4*sqrt(11) Simplify sqrt(112) - (1 + sqrt(7) + 0). -1 + 3*sqrt(7) Simplify -3*2*sqrt(637
{ "pile_set_name": "DM Mathematics" }
+ 254*i**2 Collect the terms in -483915159*s**2 + 483915159*s**2 + s**3. s**3 Collect the terms in 17*u + 39*u + 22*u**2 - 31*u**2. -9*u**2 + 56*u Collect the terms in 222815*h - h**2 - 222815*h. -h**2 Collect the terms in -30*b**3 + 8*b**3 + 13*b**3 + 6*b**3 + b**3. -2*b**3 Collect the terms in 131233*c**3 + 10262*c**3 + 40271*c**3. 181766*c**3 Collect the terms in -35*w + 652*w**2 - 32*w + 67*w. 652*w**2 Collect the terms in 1446*m**2 - 5*m + 5*m - 1462*m**2. -16*m**2 Collect the terms in -18 + 19 + 13825*o - 11555*o + 22697*o. 24967*o + 1 Collect the terms in -17256*f**3 - 17256*f**3 + 34537*f**3. 25*f**3 Collect the terms in 120 + 0*n**2 - 157 + 2*n**2 + 79. 2*n**2 + 42 Collect the terms in 10512*q**2 - 21474*q**2 + 10685*q**2. -277*q**2 Collect the terms in 22255 - 7415 - 7425 + r**3 - 7415 + r**3. 2*r**3 Collect the terms in -12*o + 70*o - 16*o. 42*o Collect the terms in -615 + 313 + 302 + 3*t. 3*t Collect the terms in 0 + 1 - 1 + 537*w - 1125*w. -588*w Collect the terms in 134*o**2 - 340*o**2 + 207*o**2. o**2 Collect the terms in -800 - 23*l + 1602 - 802. -23*l Collect the terms in 87*g - 278*g - 76*g. -267*g Collect the terms in 95*k + 94*k + 111*k + 87*k + 91*k - 484*k. -6*k Collect the terms in -50015 + d**3 + 12503 + 12500 + 12518 + 12494. d**3 Collect the terms in -42*a**2 + 146*a**2 - 39*a**2 - 27*a**2 - 41*a**2. -3*a**2 Collect the terms in -39*s**2 + 20*s**2 - s**2 + 18*s**2 + 0*s**2 + 3*s**2. s**2 Collect the terms in -766*v**2 + 133*v**2 - 617*v**2. -1250*v**2 Collect the terms in 22*q**2 - 24*q**2 - 29*q**2 - 4*q**2 - 29*q**2. -64*q**2 Collect the terms in -216*b - 224*b + 651*b - 215*b. -4*b Collect the terms in -45451*m**2 + 45451*m**2 + 6*m**3 - 7*m**3. -m**3 Collect the terms in -21*n**2 - n - 37*n + 24*n**2. 3*n**2 - 38*n Collect the terms in 55*c**3 - 12 + 20 - 72*c**3 - 8. -17*c**3 Collect the terms in -10*x + 24*x + 4*x - 37 - 15*x. 3*x - 37 Collect the terms in 54*p**3 - 28*p + 3*p - 37*p**3 - 31*p**3. -14*p**3 - 25*p Collect the terms in 28*v - 1607296 - 6*v + 1607296. 22*v Collect the terms in 7 - 61 - 127*w - 6 - 186*w + 312*w. -w - 60 Collect the terms in -2*m + 110*m**2 + 2*m - 11*m - 6. 110*m**2 - 11*m - 6 Collect the terms in -1245*k + 14683*k - 4 + 4. 13438*k Collect the terms in 463*p - 251*p - 180*p. 32*p Collect the terms in 21873 - 21873 + 285*l. 285*l Collect the terms in -611 + 42158*w + 611 - 42154*w. 4*w Collect the terms in 2919 + 9*o - 4*o - 2919. 5*o Collect the terms in -3*k + 2*k - 187 + 0*k + 314. -k + 127 Collect the terms in 2*i**2 + 30*i + 6*i - i - 35*i - 9*i**2. -7*i**2 Collect the terms in -1034 + 11755821*u**2 + 1034 - 11755819*u**2. 2*u**2 Collect the terms in -3 + 144*q**2 - q**2 + 3 - 129*q**2 + 14*q**2. 28*q**2 Collect the terms in -118 - 151*f**2 + 92*f**2 + 118. -59*f**2 Collect the terms in -38*t - 12*t + 95*t + 0*t. 45*t Collect the terms in 8*w**2 - 29*w**2 + 27*w**3 + 21*w**2. 27*w**3 Collect the terms in 24*p + 1 - 55*p + 21*p + 24*p - 10. 14*p - 9 Collect the terms in 27376*i**2 + 25631*i**2 - 53004*i**2. 3*i**2 Collect the terms in -4*g - 7*g**2 + g - 10790*g**3 + 4*g. -10790*g**3 - 7*g**2 + g Collect the terms in -5 + 94*h + 5 + 539*h - 616*h. 17*h Collect the terms in 4 - 40268*x + 40268*x - 68*x**2 - 4. -68*x**2 Collect the terms in -214*g**2 + 645*g**2 - 217*g**2 - 218*g**2. -4*g**2 Collect the terms in 0*l**2 + 2*l**2 - 441 - l**3 + 441. -l**3 + 2*l**2 Collect the terms in -2323*k + 14705*k + 3878*k + 9481*k. 25741*k Collect the terms in -57*v**3 + 59*v**3 + 9427*v**2 - 9427*v**2. 2*v**3 Collect the terms in 1508*d - 1508*d + 629 + 15*d**2 - 629. 15*d**2 Collect the terms in -61*u**2 + 83*u**2 + 5*u**3 + 28*u**2 - 50*u**2. 5*u**3 Collect the terms in 855609*m - 1711235*m + 855620*m. -6*m Collect the terms in 5 + 2 + 71*f**3 - 1. 71*f**3 + 6 Collect the terms in -596*j - 40*j - 106*j. -742*j Collect the terms in 2*n**3 + 51801*n - 51801*n. 2*n**3 Collect the terms in 1238 - 1238 - 22143*m. -22143*m Collect the terms in -15364*d - 3872*d + 5607*d. -13629*d Collect the terms in 69*g**3 - 33*g**3 - g - 96 - 2*g**2 + 2*g**2 - 39*g**3. -3*g**3 - g - 96 Collect the terms in 380 + 119*d - 215 - 165. 119*d Collect the terms in -14*q - 14 - 2*q + 10*q - q. -7*q - 14 Collect the terms in -30*y + 4*y**2 - 21*y**2 - 2*y**2 + 30*y. -19*y**2 Collect the terms in -4 + 315*j**2 + 2477*j**3 - 315*j**2 + 2. 2477*j**3 - 2 Collect the terms in -99*a**2 + 324*a**2 + 5*a**3 - 106*a**2 - 119*a**2. 5*a**3 Collect the terms in 7*o**2 + 33*o**2 - 52*o**2 + 5*o**2. -7*o**2 Collect the terms in 2110*w**3 + 2410*w**3 - 90*w**3. 4430*w**3 Collect the terms in -22*h**3 + 6*h**2 + 52*h**3 + 54*h**3 - 76*h**3. 8*h**3 + 6*h**2 Collect the terms in 72*o - 21*o + 81*o + 43*o - 8. 175*o - 8 Collect the terms in 50*y - 7*y - 26*y - 30*y - 2. -13*y - 2 Collect the terms in -6230*a**3 - 1456*a**3 - 3810*a**3. -11496*a**3 Collect the terms in 16*p**3 - p - 11*p**3 + 41*p**3 - 654*p**3 - 5. -608*p**3 - p - 5 Collect the terms in -14 + 25*k - 11 + 49 - 3*k - 22. 22*k + 2 Collect the terms in -7009 + 22*g**3 - 7032 + 14040. 22*g**3 - 1 Collect the terms in 2188*o - 4415*o + 2227*o - o**2. -o**2 Collect the terms in 772 - 3083 + 767 + 774 - 2*j + 770. -2*j Collect the terms in 2*m**2 + 158 - 29*m**2 - 158 - 2*m. -27*m**2 - 2*m Collect the terms in 0*h**2 - 3*h**2 + 199*h**3 - 2712 + 2712 - 2*h**2. 199*h**3 - 5*h**2 Collect the terms in 1 + 23922*u - 1 + u**2 - 23921*u. u**2 + u Collect the terms in 25*h**2 - 80*h**2 + 32*h**2 + 26*h**2 + 1 + 12*h**2. 15*h**2 + 1 Collect the terms in 1482*c**2 + 1 - 2990*c**2 - 1 + 1515*c**2. 7*c**2 Collect the terms in -2 + 2 - 4 - 1436*p - 1258*p. -2694*p - 4 Collect the terms in 2*h + 4*h - 1121921 - 5*h + 1121921 + 3*h. 4*h Collect the terms in 117*s**2 - 19*s + 45*s - 22*s. 117*s**2 + 4*s Collect the terms in w + 133055318 - 133055318. w Collect the terms in 7*h**2 - 30*h**2 + 14*h**2 + 2*h**3 + 11*h**2 - 112. 2*h**3 + 2*h**2 - 112 Collect the terms in -618893*a**2 + 1196226*a**2 + 678613*a**2. 1255946*a**2 Collect the terms in 2*b**3 - 20967142*b**2 + 20967142*b**2 - 3*b**3. -b**3 Collect the terms in -4720*n**3 + 2374*n**3 + 3364*n**3. 1018*n**3 Collect the terms in -1444*x + 0 + 1518*x - 1 + 1 + 0. 74*x Collect the terms in 14*f - 3*f - 17*f - 59*f. -65*f Collect the terms in v - 2*v**2 + 2737*v**3 + 4*v - 5*v. 2737*v**3 - 2*v**2 Collect the terms in -4 - 1557*k + 4 + 807*k. -750*k Collect the terms in 25*o**3 - 27*o**3 - 19*o**3 - 42*o**3. -63*o**3 Collect the terms in 27037*b - 54053*b + 26978*b. -38*b Collect the terms in -94*m - 147*m + 242*m. m Collect the terms in 2229820*s - 2229820*s - 5*s**2. -5*s**2 Collect the terms in 1502*k**2 - 83 + 83. 1502*k**2 Collect the terms in -1339*a**2 - 1259*a**2 + 2614*a**2. 16*a**2 Collect the terms in -544*h**3 + 1011*h**3 - 558*h**3. -91*h**3 Collect the terms in 3*c**2 + 2*c**2 - 3*c**2 + 0*c**2 + 4*c**2 + c**2. 7*c**2 Collect the terms in 9*t - 24*t - 1828 - 7*t + 1828. -22*t Collect the terms in 873 - 870 - 4*t - 41*t. -45*t + 3 Collect the terms in -3*i - 136329 - 136323 + 272652. -3*i Collect the terms in -27*u - 871*u + 72*u. -826*u Collect the terms in -999*b**2 + 346 - 3*b**3 - 346 + 983*b**2. -3*b**3 - 16*b**2 Collect the terms in 2635*k - 67 + 34 + 33. 2635*k Collect the terms in 3*w**2 + 529*w**3 - 2*w**2 - w**2 + 1179*w**3. 1708*w**3 Collect the terms in 54*u - 9*u - 8*u - 5*u - 17*u. 15*u Collect the terms in 10310*n - 20626*n + 10317*n. n Collect the terms in 25*v**3 - 28*v**3 - 283 - v**2 + 283. -3*v**3 - v**2 Collect the terms in -259854 - 20*a + 20*a + 259843 - a**3. -a**3 - 11 Collect the terms in 3877*v + 82*v + 7136*v - 1573*v. 9522*v Collect the terms in -1371542*c + 2743081*c - 1371541*c. -2*c Collect the terms in 4488*w - 603*w + 2912*w + 1976*w. 8773*w Collect the terms in 9363*x**3 - 498*x**3 + 2915*x**3 + 10743*x**3. 22523*x**3 Collect the terms in -24*z**2 + 12*z**2 - 14*z + 14*z**2 - 4*z - 25*z. 2*z**2 - 43*z Collect the terms in -32*z + 2*z**3 - 51*z + 23 - 23. 2*z**3 - 83*z Collect the terms in 2*u - 2*u + u + 16*u**2. 16*u**2 + u Collect the terms in -31*j + 1702 + 1761 + 1760 - 5223. -31*j Collect the terms in -411*w**2 - 4268 + 4268. -411*w**2 Collect the terms in 6 + 34448324*f - 3*f**2 - 3444
{ "pile_set_name": "DM Mathematics" }
units digit of t? 6 What is the tens digit of 4683 + (-7 - 75/(-10))*-12? 7 Let v(a) = 1082*a**3 + 94*a**2 - 364*a - 6. What is the units digit of v(4)? 0 Let d = -508 - -484. What is the hundreds digit of -54*4/(d/63)? 5 Let k be 3*3/18*0. Suppose 24*m - 9912 = -k*m. What is the tens digit of m? 1 Let a(z) = -z**2 + 22*z - 12. Let l be a(15). Let c = 159 - l. Let y = 91 - c. What is the units digit of y? 5 Let u = 519 + 15342. What is the ten thousands digit of u? 1 Let a = -4 + 10. Let m(r) = -r - 27 - 3*r - a - 4*r. What is the tens digit of m(-13)? 7 Let c(f) be the first derivative of 128*f**2 - 150*f - 79. What is the thousands digit of c(7)? 1 Let a(s) = -s + 1. Let o(d) = -12*d + 9. Let n(x) = -14*a(x) + 2*o(x). Let f(g) = -5*g**2 - 32*g - 14. Let l be f(-6). What is the tens digit of n(l)? 2 Let f(x) = x**3 + 6*x**2 + 4*x + 2. Let n be f(-5). Suppose 8 = -n*p - 6. What is the units digit of (0 + p - 1)*(-18 - 7)? 5 Suppose 0 = -g - 4*g - 4*f + 22, -3*f + 19 = 5*g. Suppose -4*r + r = -2*m, g = -2*r + 2*m. Suppose 2*w = 4, 2*y - 98 = r*w + 20. What is the units digit of y? 1 Let h = -28 + 28. Let v(x) = x**3 + x**2 + x + 828. Let o be v(h). What is the units digit of 2/3*o/6? 2 Suppose -3*y - 45 = -51, -3*v - 5*y + 484 = 0. Let m = 3 - 1. Suppose -119 + 11 = -2*l - 2*a, -3*l = m*a - v. What is the tens digit of l? 5 Suppose 3*b + 5*i = 122075, -72*i = -5*b - 76*i + 203467. What is the hundreds digit of b? 6 Suppose 40*z + 233 = 913. Suppose 11 = -2*k + z. What is the units digit of k? 3 Let m be (-4)/6 - (-100)/(-30). Let l be 2/m*8 - -1 - -6. Suppose 3*c = 4*a - 660, -l*a - 61 + 545 = -5*c. What is the units digit of a? 8 Suppose -3*w - 5 = -11. Suppose -7*a + 1380 = -w*a. Suppose -2*j = o + 80 - a, -4*o = j - 798. What is the tens digit of o? 0 Let t = 11631 - 8288. What is the tens digit of t? 4 Suppose -u - 1 = -4. Suppose 3*w - u = 3. What is the units digit of 20/(-70) - w*1726/(-28)? 3 Suppose 0 = 3*y - 38 + 5. Let n be 3/((y - 2)*(-4)/(-24)). Suppose 5*g - 1005 = -5*c, -n*g = c + 4*c - 411. What is the hundreds digit of g? 1 Let f = 33358 + -18111. What is the units digit of f? 7 Let z(y) = 960*y**3 - 16*y**2 + 20*y + 42. What is the thousands digit of z(3)? 5 Let v = 38 + -37. Suppose -v = -w + j, 0*w - 2*w = 4*j - 32. Suppose w*c - 10 = 5*c. What is the units digit of c? 0 Let h = 6 + -3. Let u(q) be the third derivative of q**4/6 + q**3/2 - 9*q**2 - 18*q. What is the units digit of u(h)? 5 Let v(j) = 345*j. Let f be v(1). What is the tens digit of f + 11 + -1 + -4? 5 Let l be 12/48 - 278/(-8). Let o = 39 - l. Suppose 0 = u - 1 + o, -5*x + 4*u + 332 = 0. What is the tens digit of x? 6 Let i be (8/12)/(-1 + 47/45). What is the units digit of (-134992)/(-390) - 2/i? 6 Suppose -5*a - 18607 = 3*v - 161279, 3*a + 142704 = 3*v. What is the ten thousands digit of v? 4 Let p = 13 - 17. What is the units digit of (p/(-20) + 1)/(2/260)? 6 Let b(n) = -n**3 - 6*n**2 - 8*n - 12. Let s be b(-6). Suppose -4*x + 10 = 3*g - 18, 4*g = -5*x + s. Suppose g*o - 12*o = -872. What is the tens digit of o? 0 Let n be 8/((-9 + 0)/(-18)). Suppose -n*c + 4505 = -13335. What is the units digit of c? 5 Let u(m) be the first derivative of -4*m**2 - 14*m - 16. Let p be u(8). Let o = -32 - p. What is the tens digit of o? 4 Let w(g) = -19*g + 65. Let o(t) = 3*t**2 + 30*t + 8. Let r be o(-9). What is the tens digit of w(r)? 2 Suppose 28*y + 45*y = 1452419 - 313984. What is the tens digit of y? 9 Suppose -3*g + 114*r = 111*r - 37407, -3*r = 5*g - 62401. What is the units digit of g? 6 Let x(w) = -w**3 - 5*w + 21. Let u be x(0). Let o be 2/(-7) + -2 + 153/u. Suppose -o*l = 2*h - l - 128, 3*l = -5*h + 341. What is the units digit of h? 0 Let z(a) = -a**2 + 18*a - 70. Let y be z(12). Suppose 0 = y*u + 2*l - 1322, 43*u - 47*u = 3*l - 2649. What is the hundreds digit of u? 6 Let d be (-5)/(-10)*-6 + -8. Let p(t) = t + 7. Let w be p(d). What is the units digit of 22/55*(-130)/w? 3 What is the hundreds digit of (-20831 + 18)/((-8)/16)? 6 Let n = 1 + 5. Suppose -29 - 37 = -n*j. Let p(m) = 11*m + 13. What is the units digit of p(j)? 4 Let s = 301 - 169. Let k be -1 + 2 + -2 + (12 - 4). Suppose -k*y = -y - s. What is the units digit of y? 2 Suppose 0*o = -5*q - 2*o + 9079, -5*o - 3620 = -2*q. Let k = q + -1092. What is the tens digit of k? 2 Let i be (7 + -4)*1*(-56)/(-6). Let k be 3 + (-42)/i + (-6)/(-4). Suppose -2*j + h = -55, k*h + h + 130 = 5*j. What is the units digit of j? 0 Let b = -4060 + 13584. What is the units digit of b? 4 Let m(v) = 683*v - 1. Let x be m(1). Suppose -w + 0*w = 2*l + 274, -5*l - 4*w - x = 0. What is the tens digit of 1 + (-1 - -3) - l? 4 Suppose -4*k + 2*k - 12 = 0. What is the tens digit of 569 + (-2 - k) + -5? 6 Let y(r) = 24*r**3 - 25*r**2 + 152*r + 31. What is the units digit of y(9)? 0 What is the hundreds digit of (-9)/(5340/(-1779) + (4 - 1))? 3 Let u = 1080 + -733. Suppose 0 = 5*w + l - 1735, -6*w + l = -5*w - u. What is the hundreds digit of w? 3 Suppose 0 = 3*u + 3, 2*u = -4*a - 3*u + 55. Suppose -a = -9*w + 6*w, 0 = -3*p - 3*w + 270. Let g = 129 - p. What is the tens digit of g? 4 Suppose j = 5, u + 2*j + 3055 = 12174. What is the units digit of u? 9 Let l(r) = 37 - 3517*r**3 + 3516*r**3 - 15*r**2 + 26 + 10*r. What is the tens digit of l(-17)? 7 Let v be ((-8)/((-8)/9))/((-6)/4). Let g = -30 - v. What is the tens digit of ((-114)/g)/((-1)/(-8))? 3 Let o = -158 - -158. Suppose -3*z + 2302 = 2*l + 621, o = -4*z + 5*l + 2203. What is the hundreds digit of z? 5 Let s(q) = 2*q - 33. Let y be s(22). Suppose -y + 43 = -4*o. Let p(b) = b**2 + b + 5. What is the tens digit of p(o)? 6 Let y(a) = 1 + 9*a - 1 + 17 - 31*a. Let w be y(4). Let g = -45 - w. What is the tens digit of g? 2 What is the thousands digit of (-1881)/6*(-1040)/39? 8 Suppose -3*w - 2*w + 51435 = 8*n, 3*n - 19288 = -2*w. What is the units digit of n? 0 Suppose 3717 = 7*g + 2*g. Suppose 826 = -p + 3*p + w, -2*w + g = p. Let v = p - 262. What is the hundreds digit of v? 1 Suppose -3*l = 4*c - 139276, -104468 = -3*c - 2*l - 3*l. What is the units digit of c? 6 Let h = 4382 - 3540. What is the hundreds digit of h? 8 What is the hundreds digit of 3089300/375 + (290/75 - 4)? 2 Suppose 0 = 3*t + 4*g - 7, -15*g + 17*g - 1 = -t. Suppose -r - t*k + 160 = 35, -425 = -3*r - 5*k. What is the units digit of r? 0 Suppose 5*f - 3*r - 15414 + 2725 = 0, 12697 = 5*f + r. What is the units digit of f? 9 Let n = 418 - 70. Suppose 2*b - 8 = 0, 3*b = d - 0*b - n. What is the hundreds digit of d? 3 Let h = 80466 - 33764. What is the hundreds digit of h? 7 Let m be (215/15)/((-11)/(-594)). Suppose -4*j - 2*z = -m, -12 = -0*z - 4*z. What is the units digit of j? 2 Let b(m) = -7*m - 65. Let y be b(-10). What is the thousands digit of (1380 - 8) + y/1? 1 Let m(k) = -648*k - 18. Let t be m(-1). Suppose -14*g = -19*g + t. What is the tens digit of g? 2 Let p(d) = 2*d**2 + 1. Let b be p(1). Let k be (-14)/4 - 180/(-24). Suppose -2*x + 144 = -0*x - k*w, 0 = x - b*w - 75. What is the tens digit of x? 6 Let r = 69 - 43. Let d = 19 - r. Let p(j) = -j**3 - 7*j**2 - j + 10. What is the units digit of p(d)? 7 Let r(d) = 2*d**3 + 29*d**2 - 6*d + 131. Let l be r(-15). Suppose 3*y = 4*y - 28. What is the units digit of (y - 16)/((-6)/l)? 8 Suppose -15*l + x = -14*l - 7246, 4*l + 3*x = 29026. What is the units digit of l? 2 Let o(r) = 2*r**3 + 10*r**2 + 10*r + 4. Let k be o(-5). Let q = k - -46. Suppose 11*a + 298 - 1354 = q. What is the tens digit of a? 9 Suppose -478*o + 17253 = -475*o. Suppose -2*n + 5715 = 3*n + 5*z, o = 5*n - 4*z. What is the tens digit of n? 4 Suppose -4*p - 5 = c, -3*c + c - 10 = -3*p. Suppose 4*z + 114 - 1130 = p. Suppose 2*a + 2*f - z = 0, 3*f = 6*a - a - 595. What is the hundreds digit of a? 1 Let c = 80769 + -38919. What is the thousands digit of c? 1 Suppose -5*y - 13609 = -a - 44951, -31354 = -5*y - 3*a. What is the tens digit of y? 6 Suppose 4192 = 4*r + 12*r. Let p be 60/90 + (-1)/(-3)*r. Suppose 4*o - 352 = -7*w + 3*w, w = 2*o + p. What is the units digit of w? 8 Let g = 1 + 3. Suppose -g*u = 15 - 23. What is the tens digit of (-14)/28*(-68)/u? 1 Suppose -20*a + 518 = -6*a. Suppose -a*f + 44*f - 1519 = 0. What is the hundreds digit of f? 2 Suppose -y - 4*a = -15770, 147*a = 2*y
{ "pile_set_name": "DM Mathematics" }
Give x(b(p)). 79027592*p**2 Suppose -5*q + 1900 = -5*k, 3*q - 7*k - 1146 = -6*k. Let y(f) = -q*f + 39 - 1 + 382*f. Let t(u) = -2*u**2. Determine t(y(c)). -2*c**2 + 152*c - 2888 Let s(g) = 22*g**2 - 3*g**2 + 21*g**2. Let y(u) = 9*u - 7. Let a(l) = 0 - 13 + 8 + 2 + 4*l. Let v(x) = -7*a(x) + 3*y(x). What is v(s(i))? -40*i**2 Suppose -1092*v = -1129*v - 564 + 1748. Let j(c) be the first derivative of 2/3*c**3 + 0*c**2 + 0*c - v. Let u(b) = 2*b - 6. Calculate j(u(w)). 8*w**2 - 48*w + 72 Let g(f) = -10*f. Let z(u) be the second derivative of -2*u**4/3 + u**3/3 - 2306*u - 2. Determine z(g(x)). -800*x**2 - 20*x Let p(x) be the second derivative of -7*x**3/3 - 1712*x. Let a(t) = 12*t**2 - 9*t - 9. Let w(k) = 6*k**2 - 5*k - 5. Let o(z) = 5*a(z) - 9*w(z). What is p(o(d))? -84*d**2 Let a(p) be the first derivative of p**3/6 + 15*p + 72. Let r(o) be the first derivative of a(o). Let d(z) = -94*z**2. Determine d(r(k)). -94*k**2 Let a(p) = 4*p. Let v(h) = -615 + 1270 - 659 + 62*h. Give v(a(m)). 248*m - 4 Let s(j) = 655*j - 2. Let d(m) = 8*m**2. What is s(d(v))? 5240*v**2 - 2 Suppose 19 = -5*b + 5*x + 4, b - 3*x + 13 = 0. Let t(r) = -10 - 4*r**b + 28 - 18 + 5*r**2. Let q(o) = 11*o**2 + 5*o. What is t(q(w))? 121*w**4 + 110*w**3 + 25*w**2 Let i(o) = 226*o - 5. Let f(b) = -1730*b**2. Determine i(f(v)). -390980*v**2 - 5 Let k(x) = 19*x**2 - 2. Let r(y) = -2*y + 51041. Give r(k(g)). -38*g**2 + 51045 Let m(f) = 91*f + 8. Let z(h) = -19755*h - 1740. Let j(u) = 435*m(u) + 2*z(u). Let k(g) = 2*g**2 + 2*g**2 - 3*g**2. Give k(j(s)). 5625*s**2 Let n(x) = 8*x. Let l(p) = -p**2 - 10067080. Give n(l(g)). -8*g**2 - 80536640 Suppose 0*x = 4*a + 3*x - 3651, x + 3631 = 4*a. Let o(r) = 453*r**2 - a*r**2 + 2 + 464*r**2. Let g(l) = -4*l. Determine o(g(n)). 128*n**2 + 2 Let u(g) = 3*g - 6. Let v(a) = 2. Let n(y) = u(y) + 3*v(y). Let r(z) be the third derivative of 7*z**5/60 - 32*z**2. What is n(r(o))? 21*o**2 Let n(p) = 7*p**2. Let b(x) be the first derivative of 2*x**2 + 159 + 0*x + 2/3*x**3. Give n(b(k)). 28*k**4 + 112*k**3 + 112*k**2 Let t(s) = 23*s + 10. Let p(y) be the third derivative of y**4/12 + y**3/3 + 2*y**2 + 17. Let g(v) = -6*p(v) + t(v). Let f(w) = -2*w. Give f(g(i)). -22*i + 4 Let i(o) = 15*o. Suppose -3 = -0*l - l. Suppose -5*x - l*r = 5, 5*x + 0*r - 15 = r. Let u(p) = 5*p**2 - p**x - 6*p**2. Give i(u(h)). -30*h**2 Let a(x) be the third derivative of 0*x**3 - 27*x**2 + 0 + 11/24*x**4 + 0*x. Let p(l) = -3*l. Determine a(p(j)). -33*j Let p = 66 - 66. Let n(o) = -72*o + p*o - 2*o. Let u(q) be the third derivative of -q**5/30 - q**2 + 20*q. Determine n(u(w)). 148*w**2 Let v(x) = 7*x. Let s(g) = 26 - 203 + 53 + 43 + 34 - 5*g. Determine s(v(w)). -35*w - 47 Let i(z) = -135*z**2 - 7*z. Let b(v) = 251*v**2 + 13*v. Let m(r) = 7*b(r) + 13*i(r). Let g(a) = a**2 - 547. What is m(g(p))? 2*p**4 - 2188*p**2 + 598418 Let w(m) be the third derivative of m**6/360 + 23*m**4/8 + 19*m**2. Let u(t) be the second derivative of w(t). Let f(o) = -61*o**2. Give u(f(b)). -122*b**2 Let t(u) = -3*u**2. Let j(l) = 18*l + 77230. What is j(t(v))? -54*v**2 + 77230 Let s(k) = k**2. Let m be (-12 - -3)*6/(-9). Suppose 12 = -a - 3*a - 5*q, -3*q = 3*a + m. Let o(b) = -49 - 4 - 109*b**a + 108*b**2. What is o(s(h))? -h**4 - 53 Suppose 3*j + 12 = 0, n - 237 + 3 = 5*j. Let s(m) = n - 214 + 6*m**2. Let x(w) = 29*w**2. What is x(s(u))? 1044*u**4 Let i(t) = -24*t + 16*t + 3*t. Let z(q) = 11*q**2 + 7. Let v(c) = -11*c**2 - 6. Let r(f) = 7*v(f) + 6*z(f). Give i(r(y)). 55*y**2 Let m(l) = -7*l**2. Let q(r) = 5*r**2. Suppose 1056 - 1053 = -b. Let d(j) = b*q(j) - 2*m(j). Let x(u) = -u - 115. Calculate x(d(k)). k**2 - 115 Let f(u) = -10*u + 20. Let m(q) = -8*q + 15. Let z(x) = -3*f(x) + 4*m(x). Let d(g) = 14*g + 20. Determine z(d(j)). -28*j - 40 Let b(d) = -d - 3. Let c(j) = -1. Let v(a) = -b(a) + 3*c(a). Let f(r) = 18*r**2 - 12. Let l(o) = 239*o**2 - 162. Let q(g) = 27*f(g) - 2*l(g). Give v(q(k)). 8*k**2 Let d(t) = t**2. Let b(z) = -55*z + 12. Let o(y) = 136*y - 28. Let j(g) = 12*b(g) + 5*o(g). Calculate d(j(r)). 400*r**2 + 160*r + 16 Let l be 189834/72*3 + (-3)/4. Let t(f) = l - 7909 + 8*f. Let b(m) be the third derivative of m**4/4 + 2*m**2 + 20*m. What is t(b(q))? 48*q Let l(u) = -2*u. Let r(m) be the first derivative of 3*m**2/2 + 8*m - 683. Determine r(l(n)). -6*n + 8 Let n(h) = -4*h. Let j(d) = 1. Let w = -152 - -100. Let r = w + 40. Let p(o) = 4*o - 12. Let m(v) = r*j(v) - p(v). Give m(n(i)). 16*i Let k be ((-5)/15)/(1/(-33)). Let a be 20/(-4) - (-1 - 6). Let m(i) = -4*i**2 + k*i**a - i**2. Let z(t) = -4*t**2. Calculate z(m(d)). -144*d**4 Let p(f) = 562*f**2 + 18*f + 8. Let o(r) = -22*r. Determine p(o(l)). 272008*l**2 - 396*l + 8 Let y(c) = -c**2 - 35*c + 1. Let s(p) = -36*p**2 + 175*p - 5. Let q(n) = -s(n) - 5*y(n). Let k(f) = 5*f - 3. Calculate k(q(i)). 205*i**2 - 3 Let b(r) = -r - 3. Let h(g) = 48*g + 168. Let u(m) = -112*b(m) - 2*h(m). Let f be (-2 - 1) + 1 + 5. Let a(v) = 2*v - f*v - v. Determine u(a(s)). -32*s Let v(o) = -2*o**2. Let z = -106 + 123. Suppose -4*k = q + z, 2*q = 5*k + 21 + 10. Let t(b) = -2*b**2 + 6*b**2 - q*b**2 - 26*b. Determine v(t(d)). -2*d**4 + 104*d**3 - 1352*d**2 Let i(p) = 2*p - 75. Let w be (-1)/9 - (-376)/216*15. Let u(b) = 4*b**2 + 21*b**2 - w*b**2. Calculate u(i(s)). -4*s**2 + 300*s - 5625 Let w(p) = -5*p**2 + 401*p. Let d(o) = -17*o - 16*o + 56*o - 21*o. What is w(d(y))? -20*y**2 + 802*y Let o(l) = 23*l**2. Let x(j) = -353196*j**2. What is x(o(q))? -186840684*q**4 Let f(s) = 293*s. Let o(j) = 19162*j**2. Determine o(f(p)). 1645038538*p**2 Let c(r) = -1603*r**2 + 1829*r**2 - 12306*r**2. Let q(b) = -b**2. Determine q(c(o)). -145926400*o**4 Let g(u) = 345*u - 368. Let l(k) = 38*k - 40. Let q(y) = 5*g(y) - 46*l(y). Let c(h) = 52*h. Calculate q(c(j)). -1196*j Let v be 260/30 - (5/3 + -3). Let j(d) = -95*d**2 - 14 + 24 - v. Let b(x) be the first derivative of 2*x**3/3 - 1. Determine b(j(l)). 18050*l**4 Let t(k) = 26*k - 82*k + 54*k. Let w(v) = 6331*v**2. Calculate w(t(l)). 25324*l**2 Let c(n) be the third derivative of -n**5/10 - 62*n**3/3 - 21*n**2 - 3*n. Let k(f) be the first derivative of c(f). Let p(j) = 15*j. Calculate p(k(s)). -180*s Let n(f) = 3664*f + 2358*f - 12616*f + 3409*f. Let i(s) = -3*s**2. Determine i(n(l)). -30432675*l**2 Let h(i) = 6*i**2 + 40*i - 29. Let a(o) = -13*o**2 - 90*o + 58. Let y(k) = 4*a(k) + 9*h(k). Let x(j) be the first derivative of j**2 + 1. What is x(y(p))? 4*p**2 - 58 Let p(t) = 218047*t**2. Let f(y) = -15*y**2. Calculate f(p(c)). -713167413135*c**4 Suppose 4*m - 27 = 3*i - 4, i = 5*m - 26. Let n(d) = -9*d - 5. Let b(z) = 11*z + 6. Let p(k) = m*b(k) + 6*n(k). Let g(j) = -118*j. Calculate p(g(r)). -118*r Let q(g) = -3*g**2 + 3. Let y(p) = 15*p**2 + 110*p + 10. Let s(m) = -m**2 - 11*m - 1. Let k(v) = 10*s(v) + y(v). What is k(q(i))? 45*i**4 - 90*i**2 + 45 Let m(z) = 2587*z**2. Let j(f) be the second derivative of -f**4/3 + 8252*f. What is j(m(a))? -26770276*a**4 Let z(m) = -m**2 - 1. Let g(f) = -8*f**2 - 7. Let t(k) = 2*g(k) - 14*z(k). Let p(b) = -15*b - 12745276*b**2 + 3*b + 12745270*b**2. Give t(p(x)). -72*x**4 - 288*x**3 - 288*x**2 Let d(q) = -8202*q. Let a(m) = -78*m - 64. Give a(d(k)). 639756*k - 64 Let g(u) = 752*u**2. Let d(w) = -26591*w**2 - w. Determine d(g(k)). -15037316864*k**4 - 752*k**2 Let v(r) = -105*r. Let o(w) be the first derivative of w**4/12 - 43*w**2 + 60. Let m(b) be the second derivative of o(b). Determine v(m(c)). -210*c Let o(q) = 5*q**2 + 536*q. Let v(c) = 14*c + 3450. Determine o(v(i)). 980*i**2 + 490504*i + 61361700 Let k(z) = -10*z. Let s(p) = -308*p + 240. Determine s(k(j)). 3080*j + 240 Let y = -18 + 58. Let w = y + -35. Let x(t) = t + w*t + t. Let o(l) = -5*l. Determine x(o(k)). -35*k Let v(d) be the third derivative of d**5/15 - 2*d**2. Let g(m) = 4*m - 7 - 1 - 3 - 6*m. Let z(y) = y + 6. Let p(c) = 6*g(c) + 11*z(c). Give v(p(x)). 4*x**2 Let n(z) be the first derivative of -2*z**3 - 3*z + 1. Let y(w) = -144*w - 90. Let l(x) = 14*x + 9. Let c(k) = 10*l(k) + y(k). What is n(c(h))? -96*h**2 - 3 Let a(l) = 63*l**2. Let z(b) = 60*b**2 + 6*b - 12. Let i(m) = 59*m**2 + 8*m - 16. Let c(h) = 3*i(h) - 4*z(h). Give c(a(f)). -250047*f**4 Let h(c) = 1365*c**2 + 189*c - 378. Let q(p) = -36*p**2 - 5*p + 10. Let b(r) = 5*h(r) +
{ "pile_set_name": "DM Mathematics" }
2. 110000110011 23424 (base 5) to base 4 123023 Convert 174 (base 15) to base 5. 2314 -24c0 (base 13) to base 11 -3a21 221020 (base 3) to base 14 369 Convert -27a (base 14) to base 10. -500 1231a (base 12) to base 10 24646 What is -1334 (base 10) in base 12? -932 Convert 98fe (base 16) to base 8. 114376 What is -1013201 (base 4) in base 2? -1000111100001 What is -1026 (base 10) in base 7? -2664 Convert -20212 (base 3) to base 8. -271 -11607 (base 12) to base 15 -6daa What is 5221 (base 6) in base 10? 1165 Convert 1333 (base 6) to base 5. 2340 What is -1782 (base 11) in base 10? -2268 52 (base 16) to base 13 64 Convert -2387 (base 10) to base 8. -4523 What is 110011 (base 3) in base 9? 404 -13000 (base 4) to base 3 -121121 -636 (base 13) to base 2 -10000100011 Convert -7953 (base 16) to base 14. -b467 Convert -305000 (base 6) to base 9. -36430 What is 32011 (base 4) in base 9? 1211 What is 11111111 (base 2) in base 16? ff What is -351521 (base 7) in base 4? -33120311 -77 (base 14) to base 5 -410 Convert -6ea (base 16) to base 6. -12110 -2871 (base 15) to base 5 -234111 What is 3ab9 (base 14) in base 5? 312410 What is 222120 (base 3) in base 6? 3153 What is 17a32 (base 12) in base 15? a275 What is -2474 (base 9) in base 10? -1849 398 (base 12) to base 16 224 What is 100101011 (base 2) in base 4? 10223 What is 6625 (base 7) in base 3? 10020211 What is 113311 (base 4) in base 12? a71 What is -11587 (base 10) in base 7? -45532 15236 (base 9) to base 16 28a1 -1312112 (base 4) to base 16 -1d96 Convert 34451 (base 6) to base 10. 4927 -9231 (base 13) to base 10 -20151 Convert 535 (base 7) to base 13. 17b What is -14aa8 (base 12) in base 11? -1aa50 What is -965 (base 11) in base 8? -2210 -14217 (base 8) to base 10 -6287 What is -52111 (base 7) in base 12? -7464 10254 (base 10) to base 4 2200032 47 (base 14) to base 5 223 What is -1000101011011 (base 2) in base 11? -337a -6186 (base 9) to base 16 -11b5 What is 4646 (base 7) in base 6? 11512 What is -1f (base 16) in base 13? -25 What is -18819 (base 10) in base 6? -223043 Convert 6514 (base 9) to base 11. 3667 What is -6628 (base 12) in base 4? -2300000 Convert 11320 (base 4) to base 10. 376 Convert -11ab (base 13) to base 15. -b22 120112202 (base 3) to base 2 10110001000101 2126 (base 7) to base 9 1028 What is 884 (base 12) in base 6? 5444 491 (base 13) to base 11 662 Convert 1011100011 (base 2) to base 5. 10424 Convert -463 (base 9) to base 15. -1a6 Convert 497 (base 14) to base 8. 1625 23323 (base 4) to base 16 2fb Convert 1223121 (base 5) to base 13. a936 Convert 574 (base 10) to base 11. 482 -101 (base 9) to base 16 -52 Convert 1003322 (base 4) to base 9. 5858 What is 1110000 (base 3) in base 10? 1053 Convert -2014 (base 8) to base 13. -619 459 (base 14) to base 11 715 Convert -247b (base 14) to base 5. -201011 -54605 (base 7) to base 4 -3111230 Convert 1100011011 (base 2) to base 16. 31b What is -382 (base 11) in base 2? -111000101 -20231 (base 4) to base 11 -467 -12113 (base 10) to base 14 -45b3 Convert 14052 (base 6) to base 12. 1328 Convert 26894 (base 10) to base 7. 141260 503022 (base 6) to base 8 115166 Convert -1524 (base 8) to base 5. -11402 24570 (base 8) to base 3 112120012 216 (base 10) to base 7 426 What is 1010001001 (base 2) in base 8? 1211 1781 (base 9) to base 6 10201 Convert 1eda (base 15) to base 14. 264a 329a (base 11) to base 15 1449 What is 53d (base 16) in base 6? 10113 Convert 3324 (base 8) to base 3. 2101202 -1244221 (base 5) to base 15 -75c6 What is 33443 (base 5) in base 7? 6630 What is 21 (base 8) in base 4? 101 131232 (base 7) to base 9 36513 What is 1001100110101 (base 2) in base 9? 6663 Convert 1753 (base 13) to base 6. 23544 Convert -2522 (base 7) to base 16. -3b3 Convert 101000110010 (base 2) to base 4. 220302 -10220 (base 3) to base 11 -96 5266 (base 16) to base 7 115333 1412011 (base 5) to base 6 342142 8031 (base 10) to base 13 386a What is -5b96 (base 15) in base 3? -222201220 What is 2013 (base 5) in base 7? 516 1553 (base 10) to base 6 11105 10120222 (base 3) to base 7 10430 Convert 10320 (base 4) to base 14. 184 What is -626 (base 13) in base 10? -1046 Convert -1ca (base 16) to base 9. -558 Convert -266 (base 16) to base 14. -31c -221111212 (base 3) to base 11 -12a79 2200021020 (base 3) to base 13 1ac97 Convert -73564 (base 8) to base 16. -7774 What is -110002230 (base 4) in base 9? -134543 -2201 (base 8) to base 10 -1153 What is -5133 (base 8) in base 4? -221123 Convert -4273 (base 9) to base 8. -6110 Convert -50626 (base 9) to base 2. -1000001000100011 -347 (base 9) to base 6 -1154 -525 (base 12) to base 5 -10444 What is 10122 (base 4) in base 11? 237 236 (base 14) to base 2 110111000 What is 724 (base 10) in base 6? 3204 131221 (base 7) to base 5 1240331 -352 (base 8) to base 5 -1414 What is -2b766 (base 12) in base 9? -103406 Convert -55135 (base 7) to base 4. -3113203 Convert 550 (base 11) to base 5. 10120 ba6 (base 12) to base 15 790 Convert -110001101000 (base 2) to base 8. -6150 What is 2171 (base 9) in base 16? 643 -1102220011 (base 3) to base 13 -cba1 -244234 (base 5) to base 8 -22147 -133 (base 10) to base 13 -a3 What is -23310120 (base 4) in base 15? -e523 Convert 20101010 (base 3) to base 6. 33303 -3055 (base 10) to base 6 -22051 What is 11000 (base 2) in base 8? 30 Convert -100001110101001 (base 2) to base 14. -6453 What is 2cc (base 14) in base 4? 20330 -228b8 (base 12) to base 10 -46220 Convert 9a4 (base 13) to base 9. 2238 15576 (base 8) to base 6 52330 -e43 (base 16) to base 7 -13434 What is 1120222 (base 3) in base 5? 14120 Convert -145 (base 16) to base 7. -643 Convert -72b (base 12) to base 9. -1378 391 (base 11) to base 8 717 Convert -1454 (base 12) to base 8. -4500 Convert -2152 (base 11) to base 4. -230120 -5130 (base 10) to base 8 -12012 Convert c3 (base 15) to base 12. 133 Convert -4238 (base 10) to base 2. -1000010001110 What is 1646 (base 7) in base 10? 671 What is -55616 (base 7) in base 5? -422102 Convert 21010 (base 4) to base 13. 358 Convert -16 (base 10) to base 16. -10 -1247 (base 15) to base 4 -330310 Convert 202b (base 13) to base 14. 1887 Convert -1110010100011 (base 2) to base 9. -11045 Convert -258 (base 10) to base 2. -100000010 Convert -4b04 (base 16) to base 8. -45404 Convert 19792 (base 10) to base 14. 72da 68be (base 16) to base 7 141114 3352 (base 6) to base 7 2204 What is c43 (base 15) in base 7? 11025 13784 (base 10) to base 9 20815 Convert 11102 (base 7) to base 8. 5353 Convert 20020001 (base 3) to base 11. 3455 1252 (base 11) to base 2 11001011110 What is 12169 (base 12) in base 3? 1020111100 Convert -132 (base 9) to base 12. -92 What is -1333223 (base 4) in base 7? -32552 Convert 31133 (base 4) to base 6. 3555 Convert -111211 (base 4) to base 10. -1381 What is 1cc (base 13) in base 14? 1a1 -2120 (base 11) to base 10 -2805 -3477 (base 15) to base 6 -123321 Convert 110011010110 (base 2) to base 9. 4451 -243434 (base 5) to base 12 -5424 -3e51 (base 16) to base 14 -5b57 What is -10101001101110 (base 2) in base 9? -15808 9cb (base 15) to base 16 8a8 What is 496 (base 16) in base 15? 534 2213100 (base 4) to base 6 121320 23531 (base 6) to base 4 311233 -14a (base 15) to base 6 -1211 Convert 143304 (base 5) to base 6. 44051 What is 14749 (base 13) in base 10? 38593 -13546 (base 7) to base 13 -18c4 What is 1014321 (base 5) in base 4? 10013010 What is -2022200 (base 3) in base 15? -77c Convert 4144312 (base 5) to base 2. 10000110001100011 What is -440 (base 7) in base 3? -22022 What is 10361 (base 7) in base 8? 5037 Convert -51566 (base 8) to base 5. -1140431 Convert 1101141 (base 5) to base 11. 13241 6205 (base 7) to base 3 2222001 -46 (base 14) to base 4 -332 Convert 4344 (base 12) to base 8. 16344 -766 (base 8) to base 16 -1f6 Convert 7a5 (base 15) to base 10. 1730 Convert -1780 (base 12) to base 4. -230100 What is -1101011000 (base 2) in base 12? -5b4 What is 32030 (base 4) in base 5? 12113 Convert 385b (base 14) to base 6. 113425 -6454 (base 7) to base 12 -13b1 What is 849 (base 11) in base 12? 711 13615 (base 7) to base 12 21b4 Convert 4bb (base 15) to base 14. 56c Convert 12683 (base 12) to base 13. b5b0 What is -6060 (base 8) in base 16? -c30 Convert 429b (base 13) to base 12. 5432 What is -5856 (base 10) i
{ "pile_set_name": "DM Mathematics" }
2 and -69.645309. -69.845309 What is 14.73328824 take away -21? 35.73328824 Total of -1173026 and -58. -1173084 Work out -2345 + -5231. -7576 2537.540022+9 2546.540022 Work out 237.3 - 947. -709.7 Work out -113629 + 2163. -111466 Work out 2.6 - 4.92015. -2.32015 -1.9507 + 415487 415485.0493 Total of -5 and -48.1275727. -53.1275727 Calculate -0.05305667 - 10365. -10365.05305667 What is 9 + 1035.16802? 1044.16802 What is 10432046 - -0.138? 10432046.138 Calculate -15.93736 - 0.0154. -15.95276 Add together -0.030033 and 3756. 3755.969967 Add -235814944 and 2. -235814942 Add together 1099.194 and 542. 1641.194 Sum -20007374 and -0.5. -20007374.5 What is 455.538 less than -1.32? -456.858 What is 54949 + -766? 54183 Calculate -0.059 + -0.3089596. -0.3679596 Add together -183691 and 0.017413. -183690.982587 What is 256063289 less than -4.4? -256063293.4 Calculate -0.3 + 8471933. 8471932.7 Calculate 3552701 - 0.154. 3552700.846 Add together 0.9 and -56238331. -56238330.1 What is -38 plus -3974604? -3974642 Total of -26871 and 2347614. 2320743 What is 176179 + 40? 176219 Add together 11799.72 and 0.057. 11799.777 Sum 2082382 and 204. 2082586 What is -0.13 minus 564508? -564508.13 What is 9.684 + -2935.3? -2925.616 Calculate -5348925 - -133. -5348792 What is -11.9 minus 370263? -370274.9 Calculate -10171 + 518. -9653 What is 2872.9019 less than 3? -2869.9019 Put together -35 and 2516737839. 2516737804 Put together 3 and 518876238. 518876241 What is -0.474 + -6.43254? -6.90654 What is 274371 take away 0.01556? 274370.98444 What is the difference between -62 and 34854963? 34855025 What is -18826 - 164? -18990 What is -12410330.07 plus 4? -12410326.07 What is the difference between -2 and -5.2209315? 3.2209315 90701072+97 90701169 What is 0.0703 less than -11246189? -11246189.0703 Total of 90 and -118243452. -118243362 -260.648691611 - 0.3 -260.948691611 What is 243797 - -4002? 247799 What is the difference between 100571206 and 5? 100571201 Work out -0.5 - -6240420. 6240419.5 What is 56 + 398060.02? 398116.02 Put together -18706.08 and -188. -18894.08 Subtract 0.07 from -469627.6. -469627.67 84.6 - -11200.7 11285.3 Total of 7.39 and -34490. -34482.61 Work out 136 + 0.35540999. 136.35540999 Calculate 395041 + -9.18. 395031.82 Add 1.529 and -0.5160002. 1.0129998 What is the difference between 0.5 and -0.118588704? 0.618588704 Add together 2304179589 and -19. 2304179570 -28.93 - 1326400 -1326428.93 What is 954 plus -7.52? 946.48 Total of 37.760041 and -223. -185.239959 Work out -583.4 + -13762724. -13763307.4 What is -2 + -4386.0915123? -4388.0915123 Subtract -0.051 from -12.869397. -12.818397 Calculate -33769197 + 5. -33769192 Work out 251147 + -1772. 249375 What is 0.5231 + -4.396? -3.8729 Sum 7239.7 and 1257. 8496.7 Put together -226117619 and -1.1. -226117620.1 Work out -0.3 + -348157.619. -348157.919 Sum -96.01 and 18023. 17926.99 Add together 3 and -49902.7637. -49899.7637 What is -1 - 86.41648812? -87.41648812 What is the distance between 34219692 and -0.5? 34219692.5 0.8471 + -4615520 -4615519.1529 Add together 208849498 and -142. 208849356 Calculate -1.015279 - 16.3. -17.315279 Subtract 683266.64 from -0.5. -683267.14 What is 18.016 + 4197135? 4197153.016 What is -10577445 plus 7442? -10570003 What is -12.4887 + 119? 106.5113 Calculate 3.6 + 425937. 425940.6 -0.1 + 23.3891348 23.2891348 0.07 - -609497 609497.07 What is -4 minus -2448198.999? 2448194.999 Subtract -165986 from -43. 165943 What is the difference between 9.8887811 and 2? 7.8887811 Add -0.001 and 2.015319. 2.014319 Work out -84264859 + 0.1. -84264858.9 Add -0.11 and -493304. -493304.11 Put together 407 and -1858.463. -1451.463 What is the difference between -273.38 and 18663? 18936.38 -0.021+35.88 35.859 Work out 3.4 - 2556822. -2556818.6 What is the difference between 318586.918 and 5? 318581.918 -0.38+-37337.9 -37338.28 61171+13 61184 -0.08+0.9797809 0.8997809 Work out 19355355 + 1.8. 19355356.8 Put together -3.5852982 and -5. -8.5852982 -0.05436 - 163497 -163497.05436 What is 8.964606173 plus -0.2? 8.764606173 What is -1860 take away -1.4084? -1858.5916 -4865677251 - -0.08 -4865677250.92 Calculate 29960775.9 + 0.01. 29960775.91 Calculate -562730 - -0.9. -562729.1 695.24 + -495 200.24 Add -17900 and -88.4. -17988.4 Subtract 1912400.5 from -0.01. -1912400.51 What is 6563533 minus -7902? 6571435 Add -80.82 and -26411. -26491.82 Subtract 451077 from -274. -451351 What is -77701 take away -169? -77532 What is 976454633.15 plus -0.1? 976454633.05 Sum 4511420302 and 4. 4511420306 What is -7086544.8 minus 778? -7087322.8 What is 33.1561 less than -9347? -9380.1561 Work out -9754.4 - -2. -9752.4 -32946.8+-1.024 -32947.824 Work out 53212 + -307877. -254665 Subtract 8 from 409215. 409207 473022 - 0.175 473021.825 What is 150 - 1074379? -1074229 Work out 20.89 - -110622. 110642.89 Sum -515 and 95541. 95026 What is -0.08 take away 0.0248342386? -0.1048342386 What is 2.4894283 less than -650? -652.4894283 What is 0.2 less than -60.375723? -60.575723 What is 17 minus -505730241? 505730258 -15749.6 + 220396 204646.4 -39350126 - 0 -39350126 Sum -9.19 and 30433.4. 30424.21 Calculate 0.07 - -1453213. 1453213.07 What is -4 less than -1757700562? -1757700558 Total of 513395877 and -2. 513395875 Work out -4189 + -0.086572. -4189.086572 What is -25821.18 take away -10.22? -25810.96 Work out 3416.3114 - 75. 3341.3114 Calculate 167227 + -0.559. 167226.441 Subtract 0 from -25.4879. -25.4879 What is -35.8 + -1302475? -1302510.8 Calculate -3931 + -12461. -16392 What is the distance between 2.134135 and 300? 297.865865 Sum -1.103 and -2.92712. -4.03012 Work out -8928.141 - 0. -8928.141 Subtract 16.0744 from -1187.7. -1203.7744 Calculate 10065 - -27. 10092 What is the distance between -0.75614 and 24? 24.75614 Calculate 6736602807 - 5. 6736602802 Put together -23 and -24973775. -24973798 What is -2662664405 + -1? -2662664406 Work out 317408 - 88. 317320 Put together -0.01669 and 31452.1. 31452.08331 Total of 0.4 and 3792176318. 3792176318.4 What is -1.1 - 7123958? -7123959.1 Calculate 31 - 205474. -205443 Work out -2740243503 + -0.4. -2740243503.4 Add together -0.1 and -15478505. -15478505.1 What is -0.2 minus 72.5245786? -72.7245786 What is 10898192303 take away 0.03? 10898192302.97 54698739+0.1 54698739.1 What is -0.18305054 - 3? -3.18305054 Subtract -86262729 from 5. 86262734 What is the distance between -4974023991 and -4? 4974023987 What is -0.5 - -21.745077? 21.245077 Sum 5 and 0.121105829. 5.121105829 3263018+48 3263066 -319243541 + 0.1 -319243540.9 0.3 - 0.48361428 -0.18361428 What is 13 + 98213427? 98213440 What is 611 plus 35940? 36551 What is 1.3204113 take away 19? -17.6795887 What is -5 less than 152146825? 152146830 0.252+-847.8 -847.548 Sum -811 and -783586. -784397 Sum 144.3009 and -115. 29.3009 Subtract 22104 from 214. -21890 Calculate -130 + -269729081. -269729211 Subtract 147596 from 0.73. -147595.27 What is 2851 less than -0.0973? -2851.0973 What is -14993955 - 5? -14993960 What is -1.9 less than -5279.455804? -5277.555804 What is -298511 take away -222023? -76488 What is 3 less than -33.57005308? -36.57005308 Subtract -1840508 from -0.01. 1840507.99 What is -27554655 take away -1? -27554654 2918.65 + -0.94151 2917.70849 Add together 43 and 0.13619155. 43.13619155 What is the difference between -304500 and 0.3? 304500.3 Subtract 241 from 50371. 50130 Sum -27079 and 17052. -10027 What is 12784 take away 1511.492? 11272.508 What is 115.7 less than -635? -750.7 What is the distance between 4 and -2.79992343? 6.79992343 What is the distance between -1.15 and -517056? 517054.85 What is 7006.278 minus -304? 7310.278 What is -67.7082704 minus -1? -66.7082704 What is 0.03 + -0.03700525? -0.00700525 Calculate 507869 + -617. 507252 1093278.78+-2.6 1093276.18 What is -2667044 take away 2.98? -2667046.98 Calculate 2 - 2021473365. -2021473363 1722388905 - -0.04 1722388905.04 Work out 21.81 - 1.3408929. 20.4691071 What is 0.0371454 minus 107? -106.9628546 Work out 25168 + 9489. 34657 Calculate -1 - -10025605. 10025604 Sum -0.109 and 3.98006. 3.87106 Work out 24.7 - 0.62319. 24.07681 What is -0.06 plus 9509361? 9509360.94 What is -23 take away -1198202? 1198179 Work out -407489627 + 0.7. -407489626.3 Put
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 1 + 2509*b**3 + 2555*b**3 + 726*b**3 - 1285*b**3 + 3*b**2. 4505*b**3 + 3*b**2 + 1 Collect the terms in -306*s**3 - 126*s + 1179*s**3 + 70*s + 56*s. 873*s**3 Collect the terms in 97*q + 276318*q**2 - 50*q - 44*q - 1. 276318*q**2 + 3*q - 1 Collect the terms in -4*p**2 + 1162811 - 581393 + 7*p**2 - 581418. 3*p**2 Collect the terms in -390362*i**3 + i + i - 390360*i**3 + 780721*i**3 - 2*i. -i**3 Collect the terms in 40*d + 37*d + 37*d - 327*d + 126*d + 29*d + 28*d. -30*d Collect the terms in 1189*j**2 - 384*j**2 - 12*j**3 + 893*j**2. -12*j**3 + 1698*j**2 Collect the terms in 20408*i + 13387*i - 17720*i + 28409*i. 44484*i Collect the terms in -1119*j**2 + 1044*j**2 + 21*j**2 + 28*j**2 + 27*j**2. j**2 Collect the terms in 46*i - 17*i - 29*i + 13213*i**3 - 4244*i**3. 8969*i**3 Collect the terms in -9066*j**3 - 8998*j**3 + 27259*j**3 - 8978*j**3. 217*j**3 Collect the terms in -27742*n - 27694*n - 27681*n + 1 + 83048*n. -69*n + 1 Collect the terms in -1564*s**2 - 5601986806*s + 5601986806*s. -1564*s**2 Collect the terms in 1425*y - 510*y - 466*y - 495*y. -46*y Collect the terms in 34*y**2 - 133*y**3 - 66*y + 117*y - 51*y - 67*y**2 + 31*y**2. -133*y**3 - 2*y**2 Collect the terms in 2 + 12024252187*q**2 - 4 - 12024252266*q**2 + 2. -79*q**2 Collect the terms in 743646 - 456853*f - 743646. -456853*f Collect the terms in -56*k**3 + 221*k**3 - 55*k**3 - 53*k**3 - 58*k**3. -k**3 Collect the terms in -46*b**2 + 286 + 27*b**2 - 286 - 3*b**2 - 62*b**2. -84*b**2 Collect the terms in -3*b**2 + 18*b - 18*b - 53064 + 13014 + b**2. -2*b**2 - 40050 Collect the terms in 5032*l + 2601*l - 344*l. 7289*l Collect the terms in -153206*c**3 - 7*c + 0*c + 15*c - 8*c. -153206*c**3 Collect the terms in 101966*u**3 - 10 + 43 - 101965*u**3. u**3 + 33 Collect the terms in -24 - 9 + 6 + 27 - 8*x - 20*x. -28*x Collect the terms in 1829680*c - 914810*c - 914872*c. -2*c Collect the terms in 80*j - 13 + 118*j - 13*j + 8*j + 59*j + 23. 252*j + 10 Collect the terms in 3755*f**3 + 495*f**3 + 721 - 264. 4250*f**3 + 457 Collect the terms in 2628*l**2 + 2640*l**2 - 13119*l**2 + 2624*l**2 + 2642*l**2 + 2627*l**2 - 1. 42*l**2 - 1 Collect the terms in 31937*u**3 + 10616*u**3 - 16485*u**3 + 43902*u**3. 69970*u**3 Collect the terms in -54 - 40 - 6278*w + 93. -6278*w - 1 Collect the terms in -179 - 18*r**2 + 164 - 41*r**2 + 2*r + 15. -59*r**2 + 2*r Collect the terms in 41*p**2 - 280119941*p + 280119941*p. 41*p**2 Collect the terms in 12*n + 3*n - 15*n + 58810102*n**3. 58810102*n**3 Collect the terms in -6778*r - r**2 + 8*r**2 - 9183*r + 15961*r. 7*r**2 Collect the terms in 1214629*h**2 - 2429251*h**2 - 618*h**3 + 1214622*h**2. -618*h**3 Collect the terms in 2458703 - 3*b**2 + 3*b**2 - 5527*b**3 - 2458703. -5527*b**3 Collect the terms in 545*x - 200686 + 200686 - 554*x. -9*x Collect the terms in -3 + 15297*v + 19073*v + 7 - 4. 34370*v Collect the terms in 52*p - 103440 - 103431 - 103402 + 310273 - 50*p. 2*p Collect the terms in -3258*u**3 - 3314*u**3 - 3318*u**3 + 13180*u**3 - 3292*u**3. -2*u**3 Collect the terms in 1570*g**3 + 3963*g**3 + 5*g**2 + 1827*g**3. 7360*g**3 + 5*g**2 Collect the terms in 5431601*o - o**2 - 10863215*o + 5431614*o + 0*o**2. -o**2 Collect the terms in 5*v - 423 + 782 + 0*v - 5*v**2 - 359. -5*v**2 + 5*v Collect the terms in 92*z + 711 + 15*z + 394. 107*z + 1105 Collect the terms in 4 - 190*i**2 - 238*i**2 - 39*i**2 - 4 - 242*i**2 + 692*i**2. -17*i**2 Collect the terms in -119*h**3 - 2 - 203605*h**2 - 203615*h**2 + 407220*h**2. -119*h**3 - 2 Collect the terms in -21388 + 21388 + 2334*v - 2351*v. -17*v Collect the terms in -10 - 140*y**2 + 9 - 119*y**2. -259*y**2 - 1 Collect the terms in -2 + 1 + 53*o + 10623*o**2 - 10638*o**2 + o**3 + 1. o**3 - 15*o**2 + 53*o Collect the terms in k**2 - k**2 + 58 + 108 + k**2 - k**2 + 2*k**2. 2*k**2 + 166 Collect the terms in 49*a**2 - 48*a**2 - 583 - 739 - 94*a**3 - 2*a. -94*a**3 + a**2 - 2*a - 1322 Collect the terms in -964*j**2 + 4032541*j - 4032541*j. -964*j**2 Collect the terms in 2751359658070*n**2 - 2751359658070*n**2 + 7*n**3. 7*n**3 Collect the terms in 1021*i**2 + 62*i**2 + 140*i**2 - 318 - 309 + 627. 1223*i**2 Collect the terms in -365*b**2 + 18*b + 404*b**3 + 740*b**2 - 375*b**2 - 18*b. 404*b**3 Collect the terms in 370367*f - 740787*f + 370429*f. 9*f Collect the terms in 34*d**3 + 17*d**3 - 10*d**3 + 64 + 71 - 135. 41*d**3 Collect the terms in -20656*f + 23383*f + 31779*f + 32858*f. 67364*f Collect the terms in -65706*q**2 - 90261*q**2 + q - q + 0*q. -155967*q**2 Collect the terms in -926*d + 1 + 546*d**3 - 938*d + 1864*d. 546*d**3 + 1 Collect the terms in u - 6*u**3 + 4175*u**2 - u - 2525*u**2. -6*u**3 + 1650*u**2 Collect the terms in -8 - 1588*b**2 + 795*b**2 - 1 + 790*b**2 + 294*b. -3*b**2 + 294*b - 9 Collect the terms in -2 - 56053*m**3 - 55422*m**3 + 115834*m**3 + 2. 4359*m**3 Collect the terms in -67659 + 14*v**3 + 13*v**3 + 67666 + 23*v**3 - 48*v**3. 2*v**3 + 7 Collect the terms in -4149 + 7240 - 2*f - 1035 - 1031 - 1025 + 3*f. f Collect the terms in -14 - 21 - 543440*y - 20 + 543435*y - 17 + 78. -5*y + 6 Collect the terms in 6*d - 3*d + 7*d - 306*d**3 - 10*d. -306*d**3 Collect the terms in -90*b + 21*b + 24*b - 8 + 44 + 23*b + 19*b. -3*b + 36 Collect the terms in -31 + 11 + 1832*t**2 + 178*t**2 + 20. 2010*t**2 Collect the terms in -1616*u + 2 - 2 - 2023*u + 5253*u - 1615*u + 0. -u Collect the terms in -81168*m - 20250*m + 20231*m. -81187*m Collect the terms in 115447*l**3 + 1 - 9024*l**3 + 58792*l**3. 165215*l**3 + 1 Collect the terms in -s - 2099 - 2096 + 6283 - 2094 + 0*s. -s - 6 Collect the terms in -235*y - 243*y**3 + 235*y + 14783*y**2 - 14782*y**2. -243*y**3 + y**2 Collect the terms in -8616391*h + 5 + 1567059*h - 5. -7049332*h Collect the terms in 18*u**2 + 17*u**2 - 75*u**2 + 93*u**2 - 64*u**2 + 17*u**2. 6*u**2 Collect the terms in -353*n - 1558*n - 1715*n + 542*n - 488*n. -3572*n Collect the terms in -78*f**3 + 70*f**3 + 19*f**2 - 38*f**2. -8*f**3 - 19*f**2 Collect the terms in -6799*r**3 + 13595*r**3 + 367 - 6798*r**3. -2*r**3 + 367 Collect the terms in -161 + 161 + 5530*n**3 - 5871*n**3. -341*n**3 Collect the terms in -1635*t - 1502*t - 2230*t - 2128*t. -7495*t Collect the terms in 39 + 1 + 37 - 109 + 38*r + 32. 38*r Collect the terms in 216*u**2 + 3*u**3 - 444*u**2 + 117*u**2 + 0*u**3 + 116*u**2. 3*u**3 + 5*u**2 Collect the terms in 26402*d**3 - 86*d - 26404*d**3 + 27*d. -2*d**3 - 59*d Collect the terms in -4309626*i**2 + 15723*i**3 + 4309626*i**2. 15723*i**3 Collect the terms in 5685*j - 1883*j - 1 - 1894*j - 1881*j. 27*j - 1 Collect the terms in -93*j - 5240*j**3 - 7240*j**3 + 93*j. -12480*j**3 Collect the terms in 32913 - 35803 + 88417 - 2*g**2 + g. -2*g**2 + g + 85527 Collect the terms in -7613 - 7580 - n**3 + 38046 - 7615 - 7622 - 7616. -n**3 Collect the terms in -11*v**2 - 15*v - 4*v + 20*v + 6*v**2 + 5*v. -5*v**2 + 6*v Collect the terms in -233848 + 116565 - 2*b**2 + 117283. -2*b**2 Collect the terms in 20*c**3 + 4247*c + 10474*c - 9*c**3 + 17*c**3. 28*c**3 + 14721*c Collect the terms in -245*i**2 + 44*i**2 + 47*i**2 + 33*i**2 + 49*i**2 + 44*i**2 + 63*i**2. 35*i**2 Collect the terms in 170522625*o + 170522632*o - 341045251*o. 6*o Collect the terms in 3559*a**2 + 3560*a**2 + 3572*a**2 + 3561*a**2 - 21378*a**2 + 3568*a**2 + 3568*a**2. 10*a**2 Collect the terms in 15279*s**3 + 13295*s**3 + 18313*s**3 + s. 46887*s**3 + s Collect the terms in 4*g + 188 + 17*g**2 - 98 - g + 0*g - 90. 17*g**2 + 3*g Collect the terms in 24557644*c**2 + 15*c**3 - 24557644*c**2. 15*c**3 Collect the terms in -3 + 3 + 11334696*w**2 + 0. 11334696*w**2 Collect the terms in 6 + 200361*q**3 - 100187*q**3 - 100179*q**3. -5*q**3 + 6 Collect the terms in 528218*f**2 - 264214*f**2 - 264116*f**2. -112*f**2 Collect the terms in -105621*a - 1192*a**2 + 52795*a + 52826*a. -1192*a**2 Collect the terms in 19 - 63*c**2 + c + 13 - 31 - 181*c**2 - c. -244*c**2 + 1 Collect the terms in -272*k - 270*k - 271*k + 8 - 277*k + 1085*k. -5*k + 8 Collect the terms in -9066 + 2962 + 3006 + 3*v + 3033. 3*v - 65 Collect the terms in -34*i - 32*i + 73*i + 4038 - 8189 + 4151. 7*i Collect the terms in 63*r**3 + 383*r**3 - 447*r**3. -r**3 Collect the terms in 2970172 + 55*x**2 - 5940347 + 5*x + 2970173. 55*x**2 + 5*x - 2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
x'th term of -6335, -6345, -6353, -6359? x**2 - 13*x - 6323 What is the v'th term of -1612, -3254, -4896, -6538, -8180? -1642*v + 30 What is the s'th term of 56, 90, 150, 248, 396, 606? 2*s**3 + s**2 + 17*s + 36 What is the z'th term of 3107, 3186, 3399, 3812, 4491, 5502, 6911, 8784? 11*z**3 + z**2 - z + 3096 What is the r'th term of 2034, 4059, 6084, 8109? 2025*r + 9 What is the c'th term of 687, 1419, 2177, 2973, 3819, 4727, 5709? 2*c**3 + c**2 + 715*c - 31 What is the a'th term of 14, 91, 280, 629, 1186, 1999, 3116? 8*a**3 + 8*a**2 - 3*a + 1 What is the f'th term of 219, 435, 649, 861? -f**2 + 219*f + 1 What is the n'th term of -13393, -26816, -40239, -53662, -67085? -13423*n + 30 What is the y'th term of 1486, 2876, 4266, 5656? 1390*y + 96 What is the y'th term of -59, -256, -607, -1124, -1819, -2704? -2*y**3 - 65*y**2 + 12*y - 4 What is the m'th term of 200, 1855, 6350, 15107, 29548, 51095, 81170? 237*m**3 - 2*m**2 + 2*m - 37 What is the q'th term of 6950, 55664, 187898, 445412, 869966, 1503320, 2387234? 6960*q**3 - 6*q - 4 What is the u'th term of -561, -4364, -14673, -34740, -67817, -117156, -186009? -542*u**3 - u**2 - 6*u - 12 What is the m'th term of -1841, -7366, -16573, -29462, -46033, -66286? -1841*m**2 - 2*m + 2 What is the d'th term of 265808, 265820, 265854, 265922, 266036, 266208, 266450, 266774? 2*d**3 - d**2 + d + 265806 What is the s'th term of 344863, 344861, 344857, 344851, 344843, 344833? -s**2 + s + 344863 What is the c'th term of -50405, -50408, -50411, -50414, -50417, -50420? -3*c - 50402 What is the r'th term of 15, -3, -17, -15, 15? 2*r**3 - 10*r**2 - 2*r + 25 What is the a'th term of 134, 203, 154, -73, -538, -1301, -2422? -10*a**3 + a**2 + 136*a + 7 What is the v'th term of 2293, 2981, 3669, 4357, 5045? 688*v + 1605 What is the z'th term of -46, -8, 24, 44, 46? -z**3 + 3*z**2 + 36*z - 84 What is the g'th term of -979, -1965, -2927, -3853, -4731? 2*g**3 - 1000*g + 19 What is the b'th term of 76645, 76661, 76677, 76693, 76709, 76725? 16*b + 76629 What is the w'th term of 10181, 10176, 10171, 10166? -5*w + 10186 What is the d'th term of -841, -838, -823, -790, -733, -646? d**3 - 4*d - 838 What is the h'th term of -17642, -35299, -52954, -70607, -88258, -105907, -123554? h**2 - 17660*h + 17 What is the t'th term of -36, -7, 22, 51, 80, 109? 29*t - 65 What is the q'th term of -20036, -20040, -20034, -20012, -19968, -19896, -19790? q**3 - q**2 - 8*q - 20028 What is the r'th term of -37436, -37211, -36980, -36737, -36476? r**3 - 3*r**2 + 227*r - 37661 What is the s'th term of -672, -800, -928, -1056? -128*s - 544 What is the f'th term of 217, 1724, 5819, 13792, 26933, 46532? 215*f**3 + 4*f**2 - 10*f + 8 What is the h'th term of -1932406, -3864810, -5797214? -1932404*h - 2 What is the x'th term of -122113, -488465, -1099053, -1953877, -3052937? -122118*x**2 + 2*x + 3 What is the i'th term of -120133, -240260, -360387? -120127*i - 6 What is the q'th term of 3171, 6337, 9503, 12669? 3166*q + 5 What is the a'th term of -40643, -40561, -40469, -40361, -40231, -40073? a**3 - a**2 + 78*a - 40721 What is the i'th term of 558, 592, 626, 660? 34*i + 524 What is the y'th term of -5688, -5707, -5746, -5811, -5908, -6043? -y**3 - 4*y**2 - 5683 What is the b'th term of -92495, -92499, -92503, -92507, -92511? -4*b - 92491 What is the h'th term of -128, -232, -334, -434, -532, -628? h**2 - 107*h - 22 What is the m'th term of -20891, -83651, -188251, -334691, -522971, -753091? -20920*m**2 + 29 What is the f'th term of -58867, -58844, -58823, -58804? -f**2 + 26*f - 58892 What is the r'th term of 652, 1004, 1356, 1708, 2060, 2412? 352*r + 300 What is the h'th term of -10410, -10407, -10404, -10401, -10398? 3*h - 10413 What is the y'th term of -1223, -1203, -1185, -1169, -1155? -y**2 + 23*y - 1245 What is the d'th term of -2102, -2733, -3364? -631*d - 1471 What is the r'th term of -112156, -224294, -336432, -448570, -560708, -672846? -112138*r - 18 What is the t'th term of -6427, -25708, -57843, -102832? -6427*t**2 What is the h'th term of 5080, 5074, 5066, 5056, 5044, 5030? -h**2 - 3*h + 5084 What is the u'th term of 1146, 1101, 1046, 981, 906, 821? -5*u**2 - 30*u + 1181 What is the v'th term of 6113, 6127, 6165, 6239, 6361, 6543, 6797, 7135? 2*v**3 + 6111 What is the w'th term of 3634464, 3634466, 3634468? 2*w + 3634462 What is the q'th term of -3952, -3945, -3938? 7*q - 3959 What is the f'th term of -3006, -3016, -3026, -3036, -3046, -3056? -10*f - 2996 What is the j'th term of 152, 420, 808, 1316, 1944, 2692, 3560? 60*j**2 + 88*j + 4 What is the f'th term of -37224, -297836, -1005218, -2382756, -4653836? -37231*f**3 + f**2 + 2*f + 4 What is the s'th term of -32790, -65575, -98360, -131145, -163930? -32785*s - 5 What is the j'th term of 33, -118, -269, -420? -151*j + 184 What is the n'th term of 1252, 2646, 4036, 5422? -2*n**2 + 1400*n - 146 What is the u'th term of -138, -196, -280, -390, -526? -13*u**2 - 19*u - 106 What is the w'th term of 343, 829, 1291, 1729, 2143, 2533? -12*w**2 + 522*w - 167 What is the v'th term of 16835, 16834, 16833, 16832, 16831? -v + 16836 What is the j'th term of 23691, 94778, 213257, 379134, 592415? j**3 + 23690*j**2 + 10*j - 10 What is the o'th term of -502, -967, -1740, -2821, -4210, -5907, -7912? -154*o**2 - 3*o - 345 What is the o'th term of -1198, -4838, -10908, -19408, -30338, -43698? -1215*o**2 + 5*o + 12 What is the r'th term of -981, -1945, -2909, -3873? -964*r - 17 What is the o'th term of -177251, -177266, -177287, -177314, -177347, -177386, -177431? -3*o**2 - 6*o - 177242 What is the w'th term of -174, -698, -1564, -2766, -4298? w**3 - 177*w**2 + 2 What is the g'th term of 5697, 5675, 5653, 5631, 5609, 5587? -22*g + 5719 What is the f'th term of -874, -1769, -2664, -3559? -895*f + 21 What is the b'th term of -288081, -288084, -288097, -288126, -288177? -b**3 + b**2 + b - 288082 What is the h'th term of -48159, -192645, -433455, -770589, -1204047, -1733829? -48162*h**2 + 3 What is the b'th term of -147, 1521, 4303, 8205, 13233, 19393, 26691, 35133? b**3 + 551*b**2 + 8*b - 707 What is the j'th term of -16123, -32237, -48349, -64459, -80567? j**2 - 16117*j - 7 What is the i'th term of 82383, 164739, 247081, 329403, 411699, 493963? -i**3 - i**2 + 82366*i + 19 What is the k'th term of 2344, 2330, 2316, 2308, 2312? k**3 - 6*k**2 - 3*k + 2352 What is the q'th term of 7274, 14536, 21794, 29048, 36298? -2*q**2 + 7268*q + 8 What is the a'th term of 92, 200, 326, 470, 632? 9*a**2 + 81*a + 2 What is the f'th term of 1671, 3326, 4977, 6624, 8267, 9906, 11541? -2*f**2 + 1661*f + 12 What is the s'th term of -2433, -4856, -7279, -9702? -2423*s - 10 What is the j'th term of -146405, -146397, -146385, -146369? 2*j**2 + 2*j - 146409 What is the c'th term of 54, 253, 606, 1119, 1798, 2649, 3678? c**3 + 71*c**2 - 21*c + 3 What is the t'th term of -10532559, -10532560, -10532561, -10532562? -t - 10532558 What is the a'th term of -9067, -9064, -9061? 3*a - 9070 What is the u'th term of 9667, 9666, 9665, 9664? -u + 9668 What is the l'th term of -227688, -227676, -227660, -227640, -227616, -227588? 2*l**2 + 6*l - 227696 What is the r'th term of 122232, 122233, 122234, 122235? r + 122231 What is the r'th term of -3858, -4483, -5114, -5757, -6418? -r**3 + 3*r**2 - 627*r - 3233 What is the y'th term of 2188, 8746, 19684, 35008, 54724, 78838, 107356? y**3 + 2184*y**2 - y + 4 What is the k'th term of -92, 88, 546, 1282, 2296, 3588, 5158? 139*k**2 - 237*k + 6 What is the j'th term of 255, 505, 815, 1185, 1615? 30*j**2 + 160*j + 65 What is the x'th term of 47, 195, 493, 983, 1707, 2707? 7*x**3 + 33*x**2 + 7 What is the i'th term of 21491, 42988, 64485, 85982, 107479? 21497*i - 6 What is the d'th term of 190, 159, 104, 25, -78, -205? -12*d**2 + 5*d + 197 What is the z'th term of 18689, 18693, 18697, 18701, 18705? 4*z + 18685 What is the t'th term of 325485, 650975, 976465? 325490*t - 5 What is the w'th term of -22593, -22598, -22607, -22620, -22637, -22658, -22683? -2*w**2 + w - 22592 What is the z'th term of -34751, -139025, -312817, -556127, -868955, -1251301? -34759*z**2 + 3*z + 5 What is the k'th term of 6416, 25571, 57448, 102041, 159344? -k**3 + 6367*k**2 + 61*k - 11 What is the k'th term of 2205315, 2205314, 2205313,
{ "pile_set_name": "DM Mathematics" }
658*k = 14 for k. -1 Solve 6*s = -12*s + 27*s for s. 0 Solve -194 = -42*z - 21 + 79 for z. 6 Solve -790*z - 1664 = -582*z for z. -8 Solve 35*z - 65 - 142 = 104*z for z. -3 Solve -1740 - 132 = -331*n + 776 for n. 8 Solve -89*b = -1264 - 898 + 382 for b. 20 Solve 169*w = 140 - 985 for w. -5 Solve 16*r - 27*r + 66 = 0 for r. 6 Solve -20457 - 9125 + 542 = 1210*j for j. -24 Solve 0 = 66*m - 40*m - 43*m - 289 for m. -17 Solve 0 = 194*m - 2229 + 70 - 751 for m. 15 Solve 2523 = -111*u + 147 + 267 for u. -19 Solve -117*n = 59*n - 37*n + 3058 for n. -22 Solve 0 = 6*y + 4702 - 4804 for y. 17 Solve 88*p + 52*p + 2520 = 0 for p. -18 Solve -98*l + 2534 = 672 for l. 19 Solve 96*b + 65*b + 655 = -1760 for b. -15 Solve -53*k - 993 + 700 = -876 for k. 11 Solve -69*l - 99*l - 2334 = 1194 for l. -21 Solve -102*c = 188*c - 8700 for c. 30 Solve 3*l - 226 = 15*l - 562 for l. 28 Solve -190*t + 81*t = -91*t - 54 for t. 3 Solve 0 = -9*z - 9034 + 8944 for z. -10 Solve 78 = 9*h - 28 + 43 for h. 7 Solve -43*w - 30*w = -156 + 1835 for w. -23 Solve -273*m - m = -47*m for m. 0 Solve -57 = 5*r - 24 - 28 for r. -1 Solve 38*r + 27*r = 62*r + 12 for r. 4 Solve -9*c = 2 - 128 for c. 14 Solve 0 = -1097*u + 1110*u + 208 for u. -16 Solve -445 = -4075*x + 3630*x for x. 1 Solve j - 5*j = 34*j - 380 for j. 10 Solve -12606*y + 12632*y + 26 = 0 for y. -1 Solve -23*i + 12 - 52 - 236 = 0 for i. -12 Solve -25*p = 44*p - 95 + 785 for p. -10 Solve 22770 = 674*f + 2550 for f. 30 Solve -77*y + 668 = 1669 for y. -13 Solve -7*x + 10*x + 132 = 36*x for x. 4 Solve -34*o - 7 = -33*o for o. -7 Solve 0 = 272*g - 302*g - 540 for g. -18 Solve 574*i + 14*i - 2964 - 3504 = 0 for i. 11 Solve -124 = 49*r + 219 for r. -7 Solve 0 = -153*d + 220*d + 435 + 168 for d. -9 Solve 16*m = 29*m + 120 - 3 for m. -9 Solve 0 = 2*j + 2*j - 2251 + 2239 for j. 3 Solve 102192 = -45*s + 103317 for s. 25 Solve 7*r + 3*r = -6*r - 48 for r. -3 Solve -50*x + 45*x + 23 = -7 for x. 6 Solve -910 = -139*q - 4107 for q. -23 Solve -24*w - 688 = 31*w + 31*w for w. -8 Solve -340*q - 72 = -328*q for q. -6 Solve 366*k = -231*k + 197*k for k. 0 Solve 1312*n - 1341*n - 319 = 0 for n. -11 Solve -408*s - 72 = -430*s - 270 for s. -9 Solve -12*i + i - 58 = -3 for i. -5 Solve 395*v - 2290 - 352 = 518 for v. 8 Solve 6764 = -346*r + 190 for r. -19 Solve -3*y + 530 + 525 = 1124 for y. -23 Solve 0 = 63*u + 685 - 118 for u. -9 Solve -2220 = -1750*f + 1690*f for f. 37 Solve -6583 = 3*w - 6592 for w. 3 Solve 3*d + 375*d - 6804 = 0 for d. 18 Solve -442 = -22*h - 574 for h. -6 Solve 238*x + 414*x - 11736 = 0 for x. 18 Solve -47*u - 8*u - 297 = 198 for u. -9 Solve -20*v - 69 = 80 - 9 for v. -7 Solve 3*i - 51954 = -52014 for i. -20 Solve -348*s - 3753 = -209*s for s. -27 Solve -154*u - 151*u = -329*u - 288 for u. -12 Solve 0 = 318279*k - 318265*k - 112 for k. 8 Solve 0 = -16*v + 17*v - 36*v for v. 0 Solve -43 = 38*j - 347 for j. 8 Solve -1067 = 331*r + 4560 for r. -17 Solve -239193*n + 239200*n = 140 for n. 20 Solve 32*y - 9*y = 69 for y. 3 Solve 2735*l = 3018*l - 566 for l. 2 Solve 1285 = -64*r - 288*r + 3397 for r. 6 Solve -5 = -39*s - 21*s + 59*s for s. 5 Solve 121*z + 21*z - 924 = 70 for z. 7 Solve 26 = 41*t + 25 - 40 for t. 1 Solve -2*l + 89*l + 348 = 0 for l. -4 Solve -153 = 13*h + 16 for h. -13 Solve 1941 - 3636 - 1958 = 281*u for u. -13 Solve 37*k = -2*k + 14*k - 450 for k. -18 Solve -33*z + 209 = 190 - 278 for z. 9 Solve 1314 = 113*u - 39*u + 204 for u. 15 Solve -13*j - 12*j - 19*j - 308 = 0 for j. -7 Solve -16*l + 372 - 292 = 0 for l. 5 Solve 193*c - 458 = 314 for c. 4 Solve -30*k - 244*k - 1212 = 980 for k. -8 Solve 10*n - n - 56 = -5*n for n. 4 Solve -7*m + 41 + 172 = 94 for m. 17 Solve 46*u + 430 + 493 = 141 for u. -17 Solve 40*r - 23 - 116 = 21 for r. 4 Solve -166*a = -1399 - 2419 for a. 23 Solve 138518*x - 675 = 138493*x for x. 27 Solve -94*r + 5*r = -890 for r. 10 Solve 0 = 557*u + 1204 + 9936 for u. -20 Solve 57*z - 885 + 942 = 0 for z. -1 Solve 12*m - 21 = 17*m + 24 for m. -9 Solve 297*n - 40*n = 5911 for n. 23 Solve -102 = 45*y + 438 for y. -12 Solve -40*x + 1924 = 2564 for x. -16 Solve 1333*y - 678*y - 674*y + 266 = 0 for y. 14 Solve -1334 = -95*b + 15*b + 426 for b. 22 Solve 38*w = 46*w + 32 for w. -4 Solve -152*f - 269 + 137 = -1044 for f. 6 Solve -6270 = -434*o - 1930 for o. 10 Solve 500*y + 91 = 507*y for y. 13 Solve -76 = -571*h + 176*h + 714 for h. 2 Solve -4750*p + 4752*p = 14 - 36 for p. -11 Solve 14747*i - 777 = 14710*i for i. 21 Solve -1376599 = 20*c - 1376779 for c. 9 Solve -319*y + 6749 = -120*y + 1774 for y. 25 Solve -2773*l + 209 = -2754*l for l. 11 Solve -2*n - 3466 = 2*n - 3502 for n. 9 Solve -9 + 25 - 16 = 286*k for k. 0 Solve -2238 = 235*p + 1287 for p. -15 Solve -67 = 75*k - 217 for k. 2 Solve -198 - 61 = -32*v + 157 for v. 13 Solve -223910*g + 223866*g = 924 for g. -21 Solve 94 - 21 = 17*l - 97 for l. 10 Solve 1637 - 1161 = -14*y for y. -34 Solve 254*y - 71*y - 708 = 65*y for y. 6 Solve -411*v - 266 = -10469 - 2538 for v. 31 Solve -200*m + 3768 = -1456*m for m. -3 Solve -7*b - 861 = -15*b - 33*b for b. 21 Solve 167*x + 71*x = -122*x - 5400 for x. -15 Solve -3391 = 2481*g - 2630*g + 781 for g. 28 Solve 1748 - 388 = -83*a + 15*a for a. -20 Solve -1616*r + 1566*r - 1450 = 0 for r. -29 Solve -185*h + 915 = -97*h + 217*h for h. 3 Solve 407 = -46*t + 867 for t. 10 Solve -168*c = -51*c - 702 for c. 6 Solve -43*c + 69 - 88 = 1013 for c. -24 Solve 1156*m = -1131*m + 745*m + 50886 for m. 33 Solve 179*g = 1576 + 930 for g. 14 Solve 58 - 53 = 126*u + 131 for u. -1 Solve -466 - 389 = 267*y - 3525 for y. 10 Solve -513*b + 544*b + 868 = 0 for b. -28 Solve -7*l + 420 = 406 for l. 2 Solve -4*z = 42*z + 46 for z. -1 Solve 263 = -23*f + 33 for f. -10 Solve 11*s - 31271 + 31524 = 0 for s. -23 Solve 180 + 45 + 72 = 27*z for z. 11 Solve 65*h + 5832 = -178*h for h. -24 Solve -7*s + 13715 - 13875 = 9*s for s. -10 Solve 636*u - 8520 = 68*u for u. 15 Solve 101*o = 95*o - 48 for o. -8 Solve -160*k = 187*k - 6593 for k. 19 Solve -46*o - 123 = -64 + 33 for o. -2 Solve -26 + 466 = -50*z - 5*z for z. -8 Solve -27258 + 27266 = -4*t for t. -2 Solve -38*i - 344 = -71 - 805 for i. 14 Solve -1416 = 90*s - 614 - 712 for s. -1 Solve 183 - 177 = 6*d for d. 1 Solve 11*z = -91*z + 11*z - 1729 for z. -19 Solve 73*b + 79*b = 140*b + 168 for b. 14 Solve -7473*y = -7284*y + 6048 for y. -32 Solve -39*y - 438 = -112*y for y. 6 Solve 37*g - 177 = -563 + 275 for g. -3 Solve 0 = -16*a - 258 - 78 for a. -21 Solve -7205 + 7745 = 30*j for j. 18 Solve -1659*m + 839*m - 528 = -853*m for m. 16 Solve 0 = 228*y + 168*y - 7524 for y. 19 Solve -472*y - 407 = 414*y + 18199 for y. -21 Solve 64*j = 100*j - 288 for j. 8 Solve 59*d - 44*d - 43*d - 588 = 0 for d. -21 Solve 0 = 1003*u - 1271*u - 6164 for u. -23 Solve 34*c - 39 = -158 - 153 for c. -8 Solve 18*i + 115*i = 532 for i. 4 Solve 211*g - 840 + 207 = 0 for g. 3 Solve 33667 = 117*b + 33433 for b. 2 Solve 26*y + 31*y - 3250 = -193*y for y. 13 Solve 9*c - 25205 = -24944 for c. 29 Solve 0 = 16*z - 53*z - 79 - 32 for z. -3 Solve -196090*p + 1206 = -195956*p for p. 9 Solve -26 = -27*o - 161 for o. -5 Solve -44*p + 236 = 588 for p. -8 Solve -437*i = -20*i - 10842 for i. 26 Solve 45*i + 277 = -276 - 32 for i. -13 Solve 0 = -70*x - 67354 + 67424 for x. 1 Solve 14*u + 37 = -2*u - 11 for u. -3 Solve -421*y = -338*y - 1411 for y. 17 Solve 1535 = 100*b - 734 - 31 for b. 23 Solve 198*s = 1157 - 439 - 4084 for s. -17 Solve -63*d - 501 = 3*d + 753 for d. -19 Solve 0 = -14*u + 421 - 169 for u. 18 Solve -2*z = 20*z + 7798 - 8436 for z. 29 Solve 7 + 24 = -12*b - 29 for b. -5 Solve 316*m - 98*m + 539 = -2295 for m. -13 Solve 99*d = -325 + 21 - 1082 for d. -14 Solve -48 = l + 6*l + l for l. -6 Solve 5*u + 100 = 80 for u. -4 Solve 1577*h - 1610*h = -528 for h. 16 Solve 31 + 6 = 7*k - 47 for k. 12 Solve -1063 - 81 = -88*x for x. 13 Solve -74 - 82 - 75 = -33*j for j. 7 Solve -384*g + 90*g + 1242 = 5064 for g. -13 Solve -524*y = 9556 + 6520 - 2976 for y. -25 Solve 32*k - 885 - 411 = 16 for k. 41 Solve 37*d - 172*d - 135 = 0 for d. -1 Solve 364 = -55*a + 38*a + 45*a for a. 13 Solve 10*i - 38*i = -11*i - 136 for i. 8 Solve 0 = 108*n - 29*n for n. 0 Solve 0 = 32*q - 1331 + 659 for q. 21 Solve -33*f + 612 = 32*f + 3*f for f. 9 Solve 134*a = 905 + 34
{ "pile_set_name": "DM Mathematics" }
688. Let i be (-42)/(12/n*33 - 2). What is i rounded to the nearest one thousand? 2000 Let b = -0.0408 - -0.1179. Let i = 0.4361 - b. Round i to one dp. 0.4 Let q(b) = -3*b + 2. Let s be q(0). Suppose a - g - 5205 = s*g, 3*g + 15 = 0. What is a rounded to the nearest one hundred? 5200 Let h = -0.497 - -0.0546. What is h rounded to 2 decimal places? -0.44 Let k(x) = 163694*x - 22. Let z be k(13). Round z to the nearest 100000. 2100000 Let l = -28 - -131.6. Let n = l + -90. What is n rounded to the nearest integer? 14 Let k = -9.89 - -6.76. Let y = -57.03 - k. Let f = y + 44. What is f rounded to 0 decimal places? -10 Let c(i) = -2*i + 4. Let j be c(5). Let k(h) = -5*h**2 - 7*h + 2. Let m be k(j). Let l = m - -57. What is l rounded to the nearest ten? -80 Let y(t) = 1758*t - 20. Let c be y(-5). Let h = c + 4810. What is h rounded to the nearest one thousand? -4000 Suppose 0*t - 81498 = -5*v + 2*t, 0 = -2*t + 2. Round v to the nearest ten thousand. 20000 Suppose -g = -4*d + 8939, 2*d - 2*g = d + 2233. Suppose d + 17697 = 4*h. Suppose -5*n + 5016 = -4*f, h = 5*n - 5*f - 37. What is n rounded to the nearest 1000? 1000 Let y = 3176 + -3178.823. Let l = -0.157 + y. Round l to one dp. -3 Let j be (-20)/(-2)*1/2. Suppose -4*g - j*c + 2038 = -2*c, g = 4*c + 519. Let l = -971 + g. Round l to the nearest one hundred. -500 Suppose 0 = -5*v - 5, 3*v - 195209997 = 3*b - 6*b. Round b to the nearest 1000000. 65000000 Let t = 1.32331 + -1.3. Let h = 0.024 - t. Round h to 4 dps. 0.0007 Let b = 0.109 - 66.109. Let u = 66.00000096 + b. What is u rounded to seven decimal places? 0.000001 Let x = -5667.86 - -419541.86. Let a = 413905.00104 - x. Let s = a + -31. What is s rounded to four decimal places? 0.001 Let z = 38.69 + -36. What is z rounded to one decimal place? 2.7 Let k(i) = -40*i. Let f be k(1). Let x = f + 56. Let d be (-4 - x)/((-2)/86). What is d rounded to the nearest 100? 900 Let v = 87 - 164. Let a = v - -50. Let i = a + 26.9973. What is i rounded to three decimal places? -0.003 Suppose 6*s = -0*s + 60. Let d be (-50999999)/(-5) - (-2)/s. Suppose d = 2*m + m. What is m rounded to the nearest one million? 3000000 Let x = 336 - 166.2. Let h = x - 127. What is h rounded to zero dps? 43 Suppose v = 4*t - 148, -t - t = -3*v - 494. Let a be (-91800002)/9 + (-6 - v/27). What is a rounded to the nearest 1000000? -10000000 Suppose -2*m + 9 = 11. Let s be m/(2 - (-21)/(-9)). Suppose -s*n - 1250000 = 2*n. What is n rounded to the nearest one hundred thousand? -300000 Let u be (2 + 843/(-9))*3. What is u rounded to the nearest ten? -280 Suppose 6 = -4*s - 0*s + 5*k, -5*s - 4*k + 13 = 0. Let v be (12500/(-15))/(s/(-24)). Suppose 2*x = -0*x - v. Round x to the nearest one thousand. -10000 Let h = 432.5 + -297.8. Let y = h + -130. What is y rounded to 0 dps? 5 Let l = 3.45 + -3.4. Let o = -0.0499978 + l. Round o to 6 decimal places. 0.000002 Let w be -2*16/(-12)*3. Suppose 8960 = n - w*n. What is n rounded to the nearest one hundred? -1300 Suppose -2*n = 1 - 11. Suppose -5*m = -4*m - n. Suppose 3*v - m*v = -3560. What is v rounded to the nearest one hundred? 1800 Suppose -58638 + 6708 = 9*k. Round k to the nearest one thousand. -6000 Let i = 58 - 772. Let d = 714.00000658 + i. What is d rounded to six decimal places? 0.000007 Let l = -0.88 - 38.12. Let g = -38.99999959 - l. What is g rounded to 7 decimal places? 0.0000004 Suppose 11*d = -4*d + 6000000. Round d to the nearest one million. 0 Suppose -7 = -4*l + 13. Suppose -395111 - 134901 = -l*k + 4*p, 105991 = k + 3*p. Round k to the nearest ten thousand. 110000 Suppose -3*s + 5*s - 4*b = 4, s + 3*b = 2. Let t be (-1)/(4/(1027554 + s)). Let n = t + 456889. Round n to the nearest 100000. 200000 Let i = 2679274060.9999791 + -2679274202. Let a = -141 - i. Round a to 6 decimal places. 0.000021 Let d be 6/(-8) + 1103421/(-132). What is d rounded to the nearest one thousand? -8000 Let b = 8.8 + -85.8. Let v = b + 76.989. Round v to two dps. -0.01 Suppose 18*u - 103182685 = 512417315. Round u to the nearest 1000000. 34000000 Let p = -797 - -789.8. Round p to the nearest integer. -7 Let x = 90.20811 - 90.16. Let c = x + -0.0443. What is c rounded to four decimal places? 0.0038 Let a = -46.4202071 + 46.42. Round a to five decimal places. -0.00021 Let a = -54 - -59. Let p(z) = 10958*z**3 + 9*z**2 + 5*z. Let j be p(a). What is j rounded to the nearest 100000? 1400000 Let h = -5226.236 - -5212. Round h to one dp. -14.2 Let j(v) = 21937*v**3 + 4*v**2 - 9*v + 6. Let h be j(4). Let f be 32/(-48) + h/3. Round f to the nearest one hundred thousand. 500000 Let q = 27.648 + -50.654. Let w = 23 + q. What is w rounded to 2 dps? -0.01 Let v = -27627 - -27626.69603. Round v to 2 decimal places. -0.3 Let a = 7837.14 + -7792.1379. Let u = 50.4 + -5.4. Let v = u - a. What is v rounded to three decimal places? -0.002 Suppose 4*y - i - 18993951 = -4593956, -6*i = -3*y + 10799970. Round y to the nearest 1000000. 4000000 Let z = 367 + -366.413. Let b = -0.58700701 + z. Round b to 7 decimal places. -0.000007 Let t = 491998150 - 491998334.0000099. Let p = t - -184. Round p to 6 decimal places. -0.00001 Let d = 7683 + -7683.000003081. Round d to 7 decimal places. -0.0000031 Let l = 51 - 32. Let y = l - 19.35. Let j = y - -0.350038. Round j to five dps. 0.00004 Suppose -5*t - 15 = 0, 3*a = -2*t + t + 12039. Let u(z) = 22*z**2 - 7*z - 1. Let m be u(5). Let d = a - m. Round d to the nearest 1000. 4000 Let z = -36.94596 + -0.02404. Let p = -45.732 - z. Let o = 9 + p. Round o to 2 dps. 0.24 Let f(q) = -1815*q**3 - 2*q**2 - 5*q - 2. Let x be f(-3). Round x to the nearest 10000. 50000 Let x = -3722.54 - -3722.4409757. Let j = -0.099 - x. What is j rounded to six decimal places? 0.000024 Suppose -o + 5*w + 29 = 0, 22 = 2*o + 2*w - 3*w. Let r = 12 - o. Suppose -37200 = -r*y + 7*y. What is y rounded to the nearest 1000? -9000 Suppose 0 = -a - 5 + 9. Suppose 5*s - a*s = 0. Suppose -x + 335615 + 534385 = s. Round x to the nearest one hundred thousand. 900000 Let s = 13 - -20. Let r = -33.0000136 + s. Round r to 6 decimal places. -0.000014 Let f = -27 + 30. Let v be (f - 979)/(1/3)*-2500. Round v to the nearest one million. 7000000 Let l = -23 + 23.000938. What is l rounded to four dps? 0.0009 Let l = 0 - -6. Let p(x) = 1442*x**2 + 6*x - 2. Let f be p(l). Let k = -31054 - f. Round k to the nearest ten thousand. -80000 Let n = -1.77 + 220.77. Let q = 147 - n. Let y = q - -80.9. Round y to zero decimal places. 9 Let v = 149.1016004463 - -0.8984008637. Let r = -43.2 - -193.2. Let o = v - r. Round o to 7 decimal places. 0.0000013 Let r = 0.097 + -41.097. Let u = 40.801 + r. Let i = -0.2 - u. Round i to two decimal places. 0 Let s be 1041693/161 - (30/14 + -2). Round s to the nearest one thousand. 6000 Let r = -160.4 + -19. What is r rounded to the nearest 10? -180 Let v = 0.9018 + 36.3542. Let y = -0.556 + v. Let h = 42 - y. Round h to zero decimal places. 5 Let v(x) = x**2 + 2*x + 37400. Let f be v(0). What is f rounded to the nearest 10000? 40000 Let n = 1655 + -1706.8. What is n rounded to zero decimal places? -52 Let k = 48 - 46. Let r be 12880/(-3)*(-15)/k. Round r to the nearest 1000. 32000 Let s = 5381 - 5380.999992447. Round s to seven dps. 0.0000076 Suppose -3*n + 224996 = b, -4*n - 150004 = -6*n + b. Suppose 4*y + 496 = 3*y. Let a be (y/3)/((-2)/n). What is a rounded to the nearest 1000000? 6000000 Let d = -1012 - -45. Let z = d + 972.39. Let l = z - -0.71. Round l to zero dps. 6 Let t be (1 - 2)*(1 - 1). Suppose -4*x + 6*o - 3*o + 718 = t, -o + 710 = 4*x. Suppose -g = -692 - x. Round g to the nearest 100. 900 Let t = -50 + 49.53. Let j = t - -0.85. Let y = 5.68 - j. What is y rounded to zero decimal places? 5 Let t = 98 - 98.0001044. Round t to 5 dps. -0.0001 Suppose 3*a + 0*a = -3*l - 1245, a = -4*l - 409. What is a rounded to the nearest ten? -420 Let a(n) = -25*n + 4*n - 3*n - 2 - 2. Let g be a(4). Let l = g + 52. What is l rounded to the nearest ten? -50 Suppose 26*x - 9177000 = 7*x. What is x rounded to the nearest ten thousand? 480000 Suppose 5*a - 1990 = -2*v, -3*a + v + 4*v = -1225. Suppose -2*i + 3*i - a = 0. What is i rounded to the nearest ten? 400 Let v = -331.721 - -0.721. Let x = -228 - v. Let u = x - 102.29. What is u rounded to 1 dec
{ "pile_set_name": "DM Mathematics" }