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= -l - l - 4*g. Solve 0*w - 7 = -3*w + a, 3*w - l*a = 3 for w. 3 Let z(h) = -3*h + 4. Let x be z(3). Let j = 22 + x. Suppose 4*b - 3*b = 2. Solve r + 4*c = 3, -j = -5*r + c - b for r. 3 Suppose 8 + 16 = -4*o. Let c = -17 + 8. Let u = o - c. Solve i - 5*y = 3 + 8, u*y = 3*i - 9 for i. 1 Let x be 2/(-10) - 156/(-30). Solve -x*i + i = -5*m - 23, 5*i - 22 = 4*m for m. -3 Let a = 16 + -14. Solve -x + 1 = h + 2, -a*h = -5*x - 26 for x. -4 Let w(l) = -l + 15. Let u be w(8). Suppose -u*q = -q. Solve 0 = -5*m + 4*b - 24, b - 5 = m - q*b for m. -4 Let w be (2 - -1) + 2/(-2). Solve -b + f = -2*b + 5, -w*b - f + 10 = 0 for b. 5 Let v be 10/8 + (-5)/4. Solve 3*j = r - 13, -r - 11 = -v*r + 5*j for r. 4 Let z be ((-2)/4)/(2/(-8)). Let m(h) = -1 - 3 - h + z. Let u be m(-2). Solve l = -5*y - 28, 1 = -2*y - u*y + 3*l for y. -5 Let f(j) = -j**2 + 9*j. Let c be f(9). Suppose c = -8*b + 5*b. Solve 3*y + 7 + 5 = b, 12 = -4*k - 2*y for k. -1 Let d(h) = h**3 - h**2 + 36. Let b be d(0). Solve 5*a - 4*l + 25 = 0, -a + 5*l + 10 - b = 0 for a. -1 Let z = 36 + -50. Let i = z - -18. Solve -2*u = 2*j - 0*j + i, 2*j + u + 6 = 0 for j. -4 Let g(w) = -w**3 - w**2 + w. Let x be g(-2). Suppose -2*t + 9 = -5*i, -2*t + 4 = -2*i - x. Solve -3*m = -m - 4*n - 2, t*m + 4*n - 2 = 0 for m. 1 Let z = -6 - -12. Let m be (8/12)/(2/z). Solve -w - 7 = p, w = -m*p - 2*p - 16 for p. -3 Let l(d) = -2*d + 14. Let h be l(7). Suppose h*b = 2*b. Let n(j) = -10*j - 3. Let z be n(-2). Solve z = 5*p + 3*a, -3*p - 5 = -b*a - 2*a for p. 1 Let a(w) = -w**3 - 4*w**2 + 3*w - 7. Let b be a(-5). Let j = 2 + b. Suppose j*t - 34 = 3*d, 3*t + 5*d = -0*t. Solve -n - 8 = 3*o, 0 = o - n - 1 + t for o. -3 Let p(i) = i + 3. Let u be p(-3). Solve -2*y + z + 2 = u, 3*y + 2 = 5*z - z for y. 2 Let o be 5 - (9/3 + -1). Solve -k = -4*d - 5*k - 32, 5*k = o*d - 8 for d. -4 Suppose 3*h - 4*h + 78 = 0. Let k = h - 30. Suppose 7*y + 2*q = 2*y + k, 0 = 2*y - 5*q + 4. Solve 3*d - 21 = y*d + i, 4 = -4*i for d. -4 Suppose 3*g + 0*s = -4*s + 153, -5*g + s = -278. Let r = -28 + g. Solve 2*b - 2*m - m = 7, -3*b - 3*m - r = 0 for b. -4 Let s be (-1 - (-6 - -3)) + 0. Solve s*h = 3*v + 9, 5*h - 10 = -6*v + v for h. 3 Suppose p + 25 = -5*v, -4*p + v - 6*v = 40. Let h = 0 - p. Solve 0*a = 5*y + 5*a - 10, 4*a = h*y + 26 for y. -2 Let s = 7 - 5. Let n be 3*(s - (3 + -2)). Solve 0*b - n*b = 5*t + 6, 4*t - 3 = -5*b for b. 3 Let j be 3 + -2 + (1 - -3). Suppose 0 = -2*z - 4*q + 14, 0*z - z + j = 3*q. Solve -2*d = 2*m - 12, -m = 5*d - z - 11 for d. 4 Let i = 5 - 7. Let k = 0 + i. Let d be (2/(-6))/(k/102). Solve 5*r - n + d - 2 = 0, r = 5*n + 21 for r. -4 Let y(k) = -10*k - 3. Let g be y(7). Let d = g - -50. Let z = d + 34. Solve -4*t + 3*q = z, 2*t - q = t - 4 for t. 1 Let f(m) = -m + 10. Let l be f(8). Let r(c) = c. Let j be r(l). Solve -2*b = j*k - 4*k + 4, -4*b = 4*k - 32 for k. 5 Suppose 2*g - 2 = 2. Suppose 0 = -3*i - 4*a + 98, 0 = -g*i + 3*a + 15 + 22. Let b = i + -9. Solve 4*h + 4*z - b = 15, 0 = 4*h - 2*z - 8 for h. 4 Suppose -52 = 4*l - 64. Solve 0 = -l*a + 12, -6*m + m = -a + 14 for m. -2 Let x(w) = -w**2 - 13*w + 6. Let y be x(-13). Let d be (y/(-4))/((-4)/8). Solve 0*p - d*c = 3*p, 2*c + 5 = -p for p. 5 Let f = 40 - 20. Suppose -z - 15 = -f. Let x be (4 - (1 + 0)) + 0. Solve 5*t = 5*h + 15, -x*t = z*h + 24 - 1 for h. -4 Suppose r + r = -3*a + 11, -8 = 4*r - 4*a. Let x be (-3 + 4 - 5)*r. Let n = 8 + x. Solve 3 = -3*c - 3*t, -n = -t + 3*t for c. 1 Let t be (120/28)/(1/7). Suppose t = 5*b - 20. Solve -3*r = -5*s + 18, -2*r + 7*r + 5*s - b = 0 for r. -1 Let z(x) = x**2 - 7*x - 15. Let l be z(9). Solve -2*k + l*y = 2*k - 10, -2*y = -k + 5 for k. 1 Let y(g) = -3*g + 64. Let q be y(20). Solve -5*a - 5 - 1 = -q*h, 0 = a - 3*h - 1 for a. -2 Let g(i) = 2*i**3 - 7. Let u(t) = t**3 - 1. Suppose -a + 12 = 3*a. Let o(y) = a*g(y) - 21*u(y). Let c be o(-1). Solve -3*z - c = 0, 3*z = -2*v + 2*z - 11 for v. -3 Suppose -z = -0*z - 107. Suppose 3*j = z - 35. Suppose i = -2*w + 2*i + 34, 3*i - j = -w. Solve 4*g = 2*r + w, -5*g + 4*r + 15 = -12 for g. 3 Suppose 0 = l - 4*l + 6. Solve -3*k + 12 = 5*i - l, 0 = 3*k + 6 for i. 4 Let a(c) = c - 2. Let w be a(17). Let d = w + -11. Solve -5*l - 11 = -0*g - g, 0 = -2*g - d*l - 6 for g. 1 Let w = -30 - -43. Suppose -z + 0*s = -4*s - w, 0 = -s - 3. Suppose 11 - z = 2*g. Solve 5*j = -3*x + 2, 6*j - 2*j - x = g for j. 1 Let p be 2/(-6) - 68/12. Let w = p - -5. Let x be 5*6/(-15)*w. Solve 0 = -2*i + v + 1, 0 = i + 2*v + x*v - 23 for i. 3 Suppose -14 = -3*n - 2*o, 7*n + 3*o = 2*n + 23. Solve 4*x + 32 = -3*p, 7*x = n*x - p - 19 for x. -5 Let t = -12 + 21. Let u = -4 + t. Let k = u + 5. Solve 2 - 4 = -l - h, k = 5*l - 3*h for l. 2 Suppose -2*k + 2 = v + 8, 14 = v - 2*k. Solve 3*a = -v*z + 8*z - 27, -4*a = -2*z + 26 for z. 3 Let l(s) = s**2 + s - 8. Let b be l(0). Let j = b + 6. Let p be 1/(j/(-48)) + 0. Solve 4*z - 4*u = -p, 2*z - 5*u = 4*z - 2 for z. -4 Let g(x) = -3*x**3 - 2*x**2 + 4*x + 5. Let n be g(-1). Solve n*z + 12 = -4*l, 3*l + l = 4*z for z. -2 Let n be -4*1 + 112/7. Solve 0 = -i + 2*i - 3*b + 14, 3*i - 3*b + n = 0 for i. 1 Suppose -5*b - 15 = 45. Let f be (-210)/b + 3/2. Solve -4*m - 2*u = -4, -3*m + 4*u + 0*u - f = 0 for m. -1 Let c be 1 - (3 + 0) - -6. Solve -v + 4*q - 5 = c, 0 = -3*v + q + 6 for v. 3 Suppose -7*l = -5*l - 4. Solve 0 = 3*f - l*d + 20, 3*f = 3*d - 6*d for f. -4 Let i = 1 + 1. Suppose i*b = 5*a - 39, 6 + 0 = -3*b. Let d = a - 3. Solve -s - d*s + 5*x - 35 = 0, -4*s - 4 = 4*x for s. -4 Let t be (-2)/(-2)*(-3 - -8). Let j = -1 + t. Suppose -3*y - 9 = j*p, 2*p = -4*y - 6 - 6. Solve 0 = -3*o + 3, p*o = -2*i - o - 7 for i. -4 Suppose 3*l = 4*w - 13, -5 = 2*l - 3*w + 4. Let m(d) = d**2 + 2. Let p be m(l). Solve -u + 2 + 4 = 2*v, 3*v + 2*u = p for v. 1 Let q = -16 + 11. Let z = 9 + q. Let r = 3 - 0. Solve 0 = i + z*i + 2*p - 23, -18 = -3*i + r*p for i. 5 Let p(w) = -w**2 - 6*w + 3. Let b = -39 + 26. Let h = -19 - b. Let a be p(h). Solve 3*l = -0*c - 2*c + 1, -3*c + a*l = -9 for c. 2 Suppose 0 = -3*y + 25 + 35. Solve 4*m - y = 5*r, -2*m + 0 + 10 = 5*r for m. 5 Let g(v) be the second derivative of v**4/12 - 7*v**3/3 + 2*v**2 + 3*v. Let f be g(14). Suppose l = 6 - f. Solve -4*m - 4 = a, -l*a - 4*m - 1 = 7 for a. -4 Let j be 40/32*(5 + -1). Solve r = -4*r + 5*d - j, -r + 5*d - 9 = 0 for r. 1 Let p(h) = h - 5. Let x be p(8). Solve -y + 3*w = 5 - 0, x*y - 3 = 3*w for y. 4 Suppose 3*k = 6*k + 3*a - 3, 2*a - 2 = 0. Solve 0 = -2*r + 6, -5*w + k*w + 4 = 3*r for w. -1 Suppose -16 + 36 = 5*o. Solve -3*s - 3*m = s - o, 2*m + 3 = 3*s for s. 1 Let p be (-2 - (-3 + 2)) + 6. Solve 5*o - o = -2*w - 14, o + p = -w for o. -2 Suppose 0*d + d - 4 = a, d + 5 = -2*a. Let m = a + 6. Let o be (2/m)/2*6. Solve o*v - 4*s - 20 = 0, -5*s = 3*v - 2*s - 3 for v. 4 Let m be ((-10)/(-8))/(3/24). Suppose u + m - 3 = -y, -5*u = y + 27. Let g be 1/(y/(-4)) + 0. Solve -q - 1 = t - 0*t, g*t = 5*q - 30 for q. 4 Let w(g) = -4*g + g**3 + 4*g**2 - g + 5 + 1. Let c be w(-5). Solve -2*p = q + c, 15 = p + q + 4*q for p. -5 Let p be (8 - 4) + 0 + 1. Suppose 0 = -2*o + 7*o - p. Suppose m + o = 5. Solve -2*t = 2*f + 3*t + 4, 0 = 2*f - m*t + 4 for f. -2 Let w = 53 - 37. Solve -3*k - 2*q - 8 = -6*q, 0 = -3*k - 4*q - w for k. -4 Let z = 11 - 8. Let w(c) = -3*c**3 - 3*c**2. Let a be w(-2). Suppose -3*k + 8*k - 20 = -5*g, -3*k = -g - a. Solve g = -2*o + 8, -2*j - 2*j + 28 = z*o for j. 4 Let a(j) = -j**3 - j + 1. Let k be a(0). Let x be 0*3/(-6)*k. Let l be (-2 - (x - 2)) + 3. Solve 2*m = -l*i + 4, 8*i - 2*m = 5*i - 16 for i. -2 Let t be (-530)/(-45) + -1 + 22/18. Solve -2*n + 9 = -5*o, 3 = -o - 4*n - t for o. -3 Suppose 0 = -u - 0*u + 4. Solve -3*g - 4 = -5*g + 2*l, -u*g - 4*l = 24 for g. -2 Let j = 64 + -24. Suppose j = -6*x + x - 4*l, 40 = -5*x + 5*l. Let o be (-65)/(-4) - (-2)/x. Solve 16 = s - 3*u + 7*u, o = 5*s + 4*u for s. 0 Suppose h + 15 + 3 = 4*j, 8 = 3*j + 2*h. Solve 0 = 5*m - j*a - a + 35, -5*a + 26 = -2*m for m. -3 Let g = -4 - -6. Let j be (g/4)/((-8)/(-336)). Solve -d - 1 = -f - 0, 3*f + j = -5*d for f. -2 Let v be -2 - (-11)/1 - 3. Let n be 1*3/(-3) + v. Solve 0 = 5*b - 2*a - 17, n*a - 3*a = -3*b + 7 for b. 3 Let f be 10/(-15) - (-11)/3. Suppose -f*q = -q - 6. Solve -3*w = 2*r + 4, -r - 3*w + 4 = q*r for r. 4 Let p = 46 - 36. Solve -
{ "pile_set_name": "DM Mathematics" }
26*n. Let l = n + -145. Is l a prime number? False Let j = -65156 + 108547. Is j prime? True Suppose -209116 + 50375 = -11*y. Is y a composite number? False Suppose 0 = -5*b - 15*b + 7580. Is b composite? False Suppose 5*g = 4*c + 3512 + 2228, 1157 = g + c. Is (1 - g/(-14)) + 40/(-140) prime? True Suppose -4*o + 5*o - 79 = -n, 0 = 4*n + 2*o - 308. Let x = -40 - -38. Is x/4 - n/(-2) prime? True Let n(x) be the second derivative of x**4/4 - 2*x**3 - 7*x**2 + 7*x. Is n(-9) prime? True Let k be ((-63)/(-6) + -1)*2. Suppose -23 = -3*i + 5*o + k, 0 = -2*i + o + 21. Let t = i + 44. Is t a prime number? True Suppose -f - 336 = -5*f. Suppose 4*w - w = f. Let g = -6 + w. Is g a composite number? True Let v(t) = t**3 + 16*t**2 - 11*t + 2. Let l be v(-13). Suppose -5*m + l = -m. Is m composite? False Let a(j) = 7*j - 57. Is a(20) a prime number? True Let j = -9 + 12. Let z be 42/3 + j + -3. Suppose -3*q + 91 + z = 0. Is q composite? True Let v = 5140 - 1057. Is v composite? True Suppose 0 = 5*i + 2*x, 1 = -2*i - 0*i - x. Suppose -w - 4*c = -851, i*w - c - 1046 = 629. Is w a composite number? False Let s = -7 + 2. Let p = -8 - s. Let x(n) = -31*n. Is x(p) a prime number? False Suppose -i + 791 + 6453 = g, 0 = -5*g + 6*i + 36275. Is g prime? False Suppose 5*m + 2*q = 5*q + 31, 0 = 2*m + 5*q - 31. Suppose 0*l = -4*l + m. Suppose l*o = -1 + 5, -3*t + o + 3127 = 0. Is t prime? False Let z(h) be the first derivative of -7 - h + 8/3*h**3 + 2*h**2 - 1/4*h**4. Is z(8) prime? True Let l(g) = 345*g**2 + 4*g - 2. Is l(4) composite? True Let l(h) = 3758*h - 267. Is l(1) prime? True Let i = 83928 - 59357. Is i prime? True Let a(j) = j**3 - 4*j**2 - 5*j + 2. Let o be a(5). Let f(h) = o + 47*h + 4 - 20*h. Is f(5) composite? True Let b = 6147 - 1390. Is b a prime number? False Suppose 18*m - 6587 = 11*m. Is m a prime number? True Suppose -49 = -4*j + 71. Let z be 7/((-14)/(-5))*4/(-1). Is (-1292)/(-3) - z/j composite? False Let f(d) = 43*d + 2. Let u be f(2). Suppose -291 = -t - 4*i, 4*t - 5*t + i + 281 = 0. Let c = u + t. Is c a composite number? True Let x(r) = 2*r**3 + 2*r + 5. Let l(d) = d**2 - 7*d + 2. Let y be l(6). Let k be x(y). Let b = 250 + k. Is b a composite number? True Let a be (8/1)/(2/6). Is (a/(-4))/(-3) - -87 prime? True Suppose 0 = q - 6*q + 1635. Suppose 0*s - s = z - 302, -z + 4*s = -q. Is z composite? False Suppose 2*j = 4*y - 20 - 8, 3*y - j = 19. Suppose 21965 = y*o - c + 271, 2*o - 2*c - 8676 = 0. Is o a composite number? False Let k be 4/8 - (-5175)/10. Let f = 63 + k. Is f composite? True Let s = 0 + 10. Suppose 3*a = -2*a + s. Suppose 0 = a*j - 326 - 452. Is j a composite number? False Suppose -1457 = 5*q + 188. Let r = q + 530. Is r composite? True Let c(n) = 8*n**2 + 25*n + 16. Is c(-19) prime? False Suppose -4*x - 6*m = -2*m - 54572, 4*x = -m + 54572. Is x prime? False Let j(t) = 0*t**2 - 15 - 3*t**2 + 4 - 23*t + 5. Let c be j(-16). Let m = c - -617. Is m composite? False Suppose -2*r + 2 = -3*r + o, 3*r + 4*o - 8 = 0. Suppose -6*g + 359 + 223 = r. Is g a prime number? True Let q(x) = -479*x + 2. Let c be q(-1). Let n = c + -270. Is n prime? True Let o(u) = u**2 + 18*u - 42. Let t be o(-20). Is t/4 + (-92183)/(-26) a prime number? False Suppose -2*z + 3*b + 64959 = 8*b, 5*b - 25 = 0. Is z prime? True Suppose 4*v - 41 = -5*j + 35, -3*v + 5*j + 22 = 0. Let t(s) = s**3 - 9*s**2 - 11*s + 27. Is t(v) composite? False Let q(t) = t**2 + t - 1. Let d(l) = 8*l**2 + 7*l + 9. Let v(y) = d(y) + 2*q(y). Is v(-4) a prime number? True Let q be 842/(-18) - 2/9. Let r = 162 - 50. Let t = r + q. Is t prime? False Suppose 0 = 3*q - l - 28 + 1, -3*l = 0. Let s be (-6)/q*1*-3. Suppose g - 4*t = 83, 10*g - 5*g = s*t + 343. Is g a prime number? True Let q be 286 - 3/((-9)/6). Let m(g) = -170*g**2 - g. Let h be m(-1). Let y = q + h. Is y a prime number? False Is (3 - 6 - -41777) + -9 a composite number? True Let l(d) = -80*d + 4. Let h(z) = -z. Let a(u) = -4*h(u) + 2*l(u). Let v be a(-4). Suppose 2*b + 3*n = 3*b - 208, 3*b = n + v. Is b composite? False Let h(i) = -289*i**3 - 5*i**2 - 22*i - 73. Is h(-5) a prime number? True Let a(i) = -10530*i**3 - 6*i**2 - 5*i. Is a(-1) prime? True Let y = -5508 - -14705. Is y composite? True Let u = 19 - 16. Suppose -u*p = 5*r - 324 + 32, 5 = -5*p. Is r a prime number? True Suppose -r - 4 + 6 = 0. Is (0 + (-4434)/(-4))*r/3 composite? False Let w(m) = m**2 + 16*m + 15. Let q be w(-15). Suppose -4*h + 5*g - 710 = q, 2*h - 3*h - 4*g - 188 = 0. Is 24/h - 3497/(-15) a prime number? True Let b = 116 - -42. Suppose -b = r + 135. Let y = -166 - r. Is y a composite number? False Let b be 269 + (0 - 0)/5. Is 5/20*4*b a prime number? True Let s = -477 - -1225. Suppose -2*h + 654 = -s. Is h a composite number? False Let f = -63347 - -96430. Is f prime? True Let n be -3*(5/(-3))/1. Suppose v + n*j = 9 + 31, 2*v + 4*j = 56. Is 5/v + 267/4 a prime number? True Suppose 0 = 2*x + 5*j + 7 - 0, -j - 7 = -x. Suppose 4*k = -5*g + k + 2645, -2116 = -x*g + 3*k. Suppose -g + 37 = -4*c. Is c composite? True Let h = 6198 + -3446. Let m = h - 1391. Is m prime? True Suppose 2 = w - 2*l + 3*l, 3*w - 2*l + 9 = 0. Is (w + 38)*(20 - 3) a prime number? False Let q(h) = 50*h - 226. Is q(36) prime? False Suppose 0 = q - 74 + 358. Let f = q - -498. Is f - (1 - (0 + -2)) composite? False Is (-6)/((-48)/22540) - (-3)/2 composite? False Is 11708/12*9*4/12 composite? False Let g(a) = 2*a**2 - 13*a - 3. Let f be g(8). Suppose f*z - 18*z = 753. Is z a composite number? False Let b(f) = f + 13. Let n be b(-12). Suppose 2*z = 0, -c + 3*z + 0*z + n = 0. Is 63/(2 + c) + 1 a prime number? False Suppose -5*l - 5*f + 70 = 0, 2*l - 4*l - 3*f + 26 = 0. Suppose 3*z = l + 95. Is z composite? False Let z(m) = 14*m**2 + 6*m + 6. Is z(10) a prime number? False Let s = -9 + 11. Suppose 3*u - u + 321 = -3*h, -h + s*u - 99 = 0. Let n = h + 192. Is n prime? False Let b(d) = d. Let p be b(3). Let w be 56/(-21)*p/(-2). Suppose -3*t - 832 = -w*a, 0 = -a - a + 3*t + 410. Is a composite? False Suppose h - 4555 = -4*n, -3*n - 4 + 10 = 0. Is h prime? True Suppose -10 = -4*l + 10. Suppose -k + y = 471, k + 674 = -l*y + 197. Is k/(-3) + 1/(-3) composite? False Let f(j) = 3573*j**2 - 5*j + 25. Is f(3) prime? False Suppose 5*g - 45 = -5*x + g, 0 = 2*x - 5*g - 51. Let l = -10 + x. Suppose 3*a + l = 114. Is a prime? True Let c be (-6)/21 - 69/(-21). Suppose -c*p = -7 - 8. Suppose -3*l - p*q + 68 + 182 = 0, 4*l - 341 = q. Is l a composite number? True Suppose 18*w - 9*w = 29007. Is w a composite number? True Suppose -16376 = -5*s + 2*a + 1581, -5*a = -2*s + 7166. Is s prime? True Suppose 5*t - 19 = -2*u, -5*u + 3 + 4 = -t. Is (3/9)/(t + 17672/(-5892)) prime? True Suppose -2*t = 22 - 20, -t = 5*b - 13734. Is b a composite number? True Let i(k) = 341*k**2 + 13*k + 25. Is i(4) a composite number? True Suppose 4*w + n = -w + 3, -2*n + 6 = 2*w. Let y be (-1 - w - 0) + -1. Is 838/4 + (-3)/y composite? False Let n = -10 + 26. Let u = -13 + n. Suppose -211 = -4*z + u*z. Is z a prime number? True Suppose -5*h - 2*i + 1339 = -2158, 0 = 3*h - i - 2096. Is h a prime number? False Suppose 6*x - 32510 = 2*x - 2*v, -40660 = -5*x + 5*v. Is x a composite number? True Let b(r) = r**3 + 13*r**2 - 11*r + 2. Is b(-13) prime? False Let c be (-1)/(4/8*-4)*-700. Suppose 4*g - 170 = -678. Let z = g - c. Is z composite? False Let z be (-44)/(-6) + 17/(-51). Let s(n) = -n**3 + 6*n**2 + 6*n + 9. Let u be s(z). Suppose 2*f - 468 = -4*t, -u*t - 4*f + 230 = -2*f. Is t a prime number? False Let x(o) = 872*o**2 - 11*o + 2. Is x(3) prime? True Suppose 6*o = 71288 + 6694. Is o prime? False Suppose 5*g - 10 = -2*x + 3*x, 3*x + 3*g = 6. Is 10 + 626 - (x + 5) a composite number? False Let o = -38773 + 69404. Is o composite? False Suppose 2 = n - 0. Let q be -2 - n/2*-559. Suppose q = 3*d + 176. Is d composite? False Let m(x) = 21*x + 1. Suppose -3*b = 4 - 16. Let h be b*(-1)/2*-2. Is m(h) composite? True Let b = 11 - 11. Let a = b - -2. Suppose a*u - 650 = 2*v, u = -0*u + 3*v + 329. Is u a composite number? True Let s(q) be the third derivative of q**6/60 - 19*q**5/60 + 5*q**4/24 - 5*q**3/3 + 2*q**2 + 5. Is s(13) prime? False Suppose 4*s - 3*f = 8*s - 9739, 2452 = s - 5*f. Is s a composite number? False Let o = 21063 - 12752. Is o pr
{ "pile_set_name": "DM Mathematics" }
u? 2136*u Let g(m) = 17*m**2 + 2*m - 1. Let v be g(1). Suppose 0*k = -3*k + v. What is the third derivative of -22*r - 8*r**2 + 22*r - k*r**5 wrt r? -360*r**2 Let m(p) be the first derivative of -145*p**6/6 - 2*p**3/3 - 7*p**2/2 + 231. Find the third derivative of m(h) wrt h. -8700*h**2 Suppose -4*c + 23 - 7 = 0. Differentiate -16 + 6*j**4 + 100*j + 8*j**c - 100*j with respect to j. 56*j**3 Let l = -11 + 12. Let y = -16 - -19. What is the derivative of k**3 + 7*k**y - l - 6*k**3 wrt k? 6*k**2 Let c = 38 - -51. Find the second derivative of -14*r + 22*r**3 + 89*r**2 - c*r**2 wrt r. 132*r Let b(g) = g**3 - 5*g**2 + 6*g - 5. Let u be b(4). What is the third derivative of s**3 - 4*s**3 - 4*s**3 - 9*s**2 - s**u wrt s? -48 Let t(w) be the third derivative of w**10/18900 - w**6/120 - 7*w**5/60 - 6*w**2. Let s(l) be the third derivative of t(l). Differentiate s(o) wrt o. 32*o**3 Let i = -90 - -96. Find the second derivative of 4*b**2 - 4*b**2 - i*b**4 + 15*b + 0*b**4 wrt b. -72*b**2 Let y(h) be the second derivative of -1/6*h**6 + 5/2*h**3 - 2/5*h**5 + 3 + 0*h**2 + 0*h**4 - h. What is the second derivative of y(g) wrt g? -60*g**2 - 48*g Let i(f) be the second derivative of 5/6*f**4 - 1/56*f**8 + 0*f**6 + 0*f**3 + 0*f**7 + 0 - 10*f + 0*f**5 + 0*f**2. What is the third derivative of i(w) wrt w? -120*w**3 Let t(n) be the first derivative of 6*n**3 - 5 + 0*n**2 - 31/5*n**5 + 0*n + 0*n**4. Find the third derivative of t(z) wrt z. -744*z Let o(u) = -163*u**2 + 45. Let x(w) = -81*w**2 + 23. Let k(q) = -2*o(q) + 5*x(q). Find the first derivative of k(z) wrt z. -158*z Let q(d) be the third derivative of -11/105*d**7 + 0*d + 0 + 0*d**3 + 0*d**4 + 6*d**2 + 11/60*d**5 + 0*d**6. What is the third derivative of q(m) wrt m? -528*m Let w(i) = 2*i**3 - 71*i**2 - 4*i - 454. Let l(y) = y**3 - y**2 + 4*y. Let d(f) = l(f) + w(f). What is the derivative of d(s) wrt s? 9*s**2 - 144*s Let x(v) be the second derivative of -v**7/360 + v**5/40 + v**4/2 - 13*v. Let j(u) be the third derivative of x(u). Find the first derivative of j(o) wrt o. -14*o Let v(r) be the third derivative of -3*r**4/8 - 13*r**3/3 - 43*r**2. Find the first derivative of v(p) wrt p. -9 Suppose 5 + 6 = 2*u - h, -3*h - 30 = -5*u. Let y(n) be the first derivative of 0*n**2 - 5*n - 10 + 13/3*n**u. Find the first derivative of y(p) wrt p. 26*p Let q(k) be the second derivative of 9/2*k**3 + 0*k**4 + 0 + 0*k**2 + 0*k**5 + 4*k + 4/5*k**6. What is the second derivative of q(g) wrt g? 288*g**2 Let i(y) be the first derivative of -29*y**5/5 + y**3/3 + 70*y**2 + 138. What is the second derivative of i(z) wrt z? -348*z**2 + 2 Let n(d) be the third derivative of -31*d**6/120 + 7*d**5/5 + d**4/12 + 88*d**2. Find the third derivative of n(h) wrt h. -186 Find the first derivative of 134 + 56 + 276 - 467*f wrt f. -467 What is the first derivative of 45 + 2 + 36*c + 48 wrt c? 36 Let n be (-1)/(-2) + (-21 - -22). Let y(v) be the first derivative of -n*v**2 + 3 + 7*v. What is the derivative of y(t) wrt t? -3 Let i = -37 - -39. What is the third derivative of 3*x**i - 11*x**2 - 8*x**3 + 3*x**2 + 3*x**2 wrt x? -48 Let g(t) = 161*t**3 + 6*t**2 + 18*t - 130. Let u(p) = 321*p**3 + 13*p**2 + 39*p - 261. Let a(r) = 13*g(r) - 6*u(r). Differentiate a(q) with respect to q. 501*q**2 Find the third derivative of 21*o**2 + 48*o**2 + o**3 + 5*o**3 + 18*o**2 wrt o. 36 Suppose 2 = -2*y - j + 10, -y + 3*j = -18. What is the second derivative of -v + 6*v + 12*v**3 - y*v wrt v? 72*v Suppose 0 = 2*v + v + 33. Let u be v/(-3) - (-14)/(-21). What is the second derivative of 6*l**u + 74 - 9*l - 74 wrt l? 36*l Find the second derivative of 4*f + f - 1 - 52*f - 12*f - 290*f**2 + 0*f wrt f. -580 Let s(k) = 326*k**3 + 808. Let c(r) = -81*r**3 - 202. Let o(x) = 9*c(x) + 2*s(x). Differentiate o(a) wrt a. -231*a**2 Suppose 3*q + 2*f = 28, 4*q - 2*f - 45 = 3*f. Let v = q - 8. What is the third derivative of -23 + 23 - 7*o**6 + 11*o**v - o**6 wrt o? -960*o**3 Let l be (-1694)/(-105) - (-4)/(-30). Find the first derivative of -156*y**2 - 37 - l + 144*y**2 - 2*y**3 wrt y. -6*y**2 - 24*y Suppose -15*k + 18*k - 111 = 0. Find the second derivative of -15*c - 28*c - k*c**3 + 13*c**3 + 9*c wrt c. -144*c Let m be 3 + 3 + (-1 - 3). Suppose m*i - 7*i = -20. Differentiate -1 - i*j**3 - 2 - 3 with respect to j. -12*j**2 Let l be (-6)/(-1)*27/81. What is the derivative of 19 + 3 + 2*s**l - 3*s**2 - 4*s**4 wrt s? -16*s**3 - 2*s Let s(g) be the second derivative of -43*g**7/7 + 7*g**4/12 - g**3/3 - 10*g + 7. Find the third derivative of s(r) wrt r. -15480*r**2 Let l be 2/(-9) - (-159232)/18. Find the second derivative of -8846 + 33*v + 5*v**2 + l wrt v. 10 Let v(c) = 42*c**3 - 2*c**2 + 187. Let y(a) = a**3 - 1. Let n(w) = v(w) + 4*y(w). Differentiate n(r) with respect to r. 138*r**2 - 4*r Let g(m) = 118*m**2 + 14*m - 61. Let b(l) = -59*l**2 - 6*l + 31. Let d(p) = 14*b(p) + 6*g(p). What is the first derivative of d(v) wrt v? -236*v Let j(n) = n**3 + 17*n**2 + 16*n + 19. Let p be j(-16). Find the second derivative of p*x - x**4 - x**2 - 45*x + 15*x wrt x. -12*x**2 - 2 Let b(x) = x - 1. Let u(h) = 5*h - 8. Let q(j) = 4*b(j) - u(j). Differentiate q(n) with respect to n. -1 Suppose -2*n = 5*j - 30, 5*j - 8 = 4*n - 38. Let d = 23 - 21. Find the first derivative of x**3 - 10*x**3 + 10 - 10*x**d + n*x**2 wrt x. -27*x**2 Let g(o) be the second derivative of o**8/480 - o**7/210 - 7*o**4/4 + 13*o. Let l(v) be the third derivative of g(v). Find the third derivative of l(k) wrt k. 84 Suppose 4*h = -0*y + 5*y - 53, 2*y + 4*h - 10 = 0. What is the derivative of 7*m**3 + y*m**3 + 24 - 33 wrt m? 48*m**2 Let d = -85 + 103. Find the second derivative of 23*j - 19*j + 10*j**4 + d*j wrt j. 120*j**2 Let t(o) = -o**2 + 9*o - 6. Let a be t(8). Suppose 2*u - 12 = -4*r, -3*u + 0 - 2 = a*r. Find the second derivative of -q**4 + 8*q + 3*q**r + q**4 - 14*q wrt q. 60*q**3 Suppose 29*z - 24*z = 15. Find the third derivative of -31*m**2 - 88*m**3 - 3*m**6 - 38*m**6 + 88*m**z wrt m. -4920*m**3 Let l(f) = -41*f**4 - 2*f**3 - 2*f**2 + 2*f - 55. Let r(c) = -c**4 + c**3 + c**2 - c + 1. Let h(g) = l(g) + 2*r(g). Find the first derivative of h(k) wrt k. -172*k**3 What is the third derivative of 287*s**2 - 8 + 8*s**6 - 11*s**5 + 11 + 25*s**5 - 3 wrt s? 960*s**3 + 840*s**2 What is the second derivative of -38*o - 6 - 83*o**5 - 115*o**5 + 3 + 36*o wrt o? -3960*o**3 Let a(z) be the first derivative of -4 - 9/2*z**4 + 0*z + 0*z**2 - 17/3*z**3. Find the third derivative of a(y) wrt y. -108 Let g(l) = -l**2 - 2*l + 8. Let f be g(0). Let d = f - 4. Find the second derivative of -d*x**4 + 2*x**4 + 11*x + 5*x**4 wrt x. 36*x**2 Find the third derivative of -18*z**5 + z**3 + 1 - 7 + 33*z**5 + 50*z**2 + 2 + z**3 wrt z. 900*z**2 + 12 Let w(l) be the first derivative of -29*l**4/4 - 4*l**3/3 + 67*l**2 + 711. What is the second derivative of w(g) wrt g? -174*g - 8 Let o be ((-8)/(-16))/(6/36). Let m(r) be the second derivative of 0 + 2*r**2 + 6*r + 1/20*r**5 + 0*r**o + 0*r**4. Differentiate m(u) with respect to u. 3*u**2 What is the derivative of 59 - l + 19*l + 0*l wrt l? 18 Let o(z) be the third derivative of z**5/60 - z**4/8 - z**3 + z**2. Let f be o(5). What is the second derivative of -5 + 1 + f - 5*a**2 - a wrt a? -10 Suppose 4*z = 54 - 14. Let k be ((-7)/(-14))/(1/z). Find the second derivative of -8*p + k*p**4 - 6*p**4 - 4*p**4 wrt p. -60*p**2 Suppose -2*r - 2 = -3*r. Let v = -15 + 19. What is the third derivative of -2*f**v - 7*f**r + f - f - 7*f**4 wrt f? -216*f Let d(q) = -90*q - 61. Let j(u) = 88*u + 62. Let v(k) = -4*d(k) - 5*j(k). What is the derivative of v(c) wrt c? -80 Let p(v) be the second derivative of -15*v**4 + v**3/3 - 279*v**2/2 - 224*v - 2. Find the second derivative of p(o) wrt o. -360 Let t be (4/12*9)/1. Let f = 6 - 4. Find the second derivative of x - t*x**5 - 5*x - f*x**5 wrt x. -100*x**3 Find the first derivative of -2*b**3 + 113*b - 63*b - 65*b + 317 - 49*b wrt b. -6*b**2 - 64 Suppose -27 = -3*r - b + 3*b, -3*b = 0. Find the third derivative of 3 - 12*z**2 - r*z**5 + 2 - 5 wrt z. -540*z**2 Let l(x) be the second derivative of -14*x + 0*x**2 - 7/10*x**5 + 0*x**4 + 0 - 2*x**3. Find the second derivative of l(z) wrt z. -84*z Let c(b) be the first derivative of -31*b**2 - 97*b - 101. Find the
{ "pile_set_name": "DM Mathematics" }
Is g prime? True Let a be -1 + -3 + 2 + 1 - -41. Suppose a + 259 = k. Is k composite? True Let r(l) = 264*l**2 + 6*l - 13. Is r(2) composite? True Suppose 0 = -2*y + 5*c + 47, y - 5*c - 14 = 2*y. Suppose -g + y = -3. Is g*(1 + (-117)/(-6)) composite? True Is (-3363681)/(-253) + (140/(-44) - -3) prime? False Let n(g) = 4251*g - 8. Let j be n(1). Is 12/18 - j/(-3) a prime number? False Is (1152/(-640))/((-6)/275810) composite? True Suppose 5*h + 17 = -4*d + 83, -d - 57 = -4*h. Is 0 + h/35 - (-4266)/10 prime? False Suppose -n - 13 + 4 = -5*t, -5*t = 5*n - 15. Let b(x) = 2*x**2 - 25*x + 37. Let f be b(11). Is 281/t - 6/f composite? False Let q(s) = 2*s**2 - 2*s + 11. Let t be -2 - (-3 - 7)/5. Suppose k - 4*k + 18 = t. Is q(k) a prime number? True Suppose -124*c = -117*c + 5621. Suppose b + 2*y = -218, 6*y - 1076 = 5*b + 2*y. Let j = b - c. Is j a prime number? True Let b = -1335 + 558. Let p be 2/(6/b) + -1. Is (-2)/(-6) - p/12 a prime number? False Let w(l) = 2*l**3 - 18*l**2 - 19*l - 3. Let s(r) = 3*r**3 - 36*r**2 - 38*r - 6. Let t(h) = -3*s(h) + 5*w(h). Is t(-16) a prime number? True Let m = 31 + -32. Let t(h) = -1523*h**3 - 3*h**2 - 2*h. Is t(m) a composite number? True Suppose 0 = 14*q + 3 - 17. Is (-642 + 11)*(q + -2) composite? False Let n = -9757 + 18696. Is n a prime number? False Let m = -1258 + 1829. Is m composite? False Let p = 6015 - 1184. Is p prime? True Let g be 3 + 3 + -2 + -2. Suppose -1562 = -q + 3*d, -q + g*d = -2*d - 1563. Is q a prime number? True Let l(h) = -h**3 + 4*h**2 - 2*h - 1. Let v be l(2). Let q = 29 - v. Let u = q + 83. Is u a prime number? True Let o(s) = s + 20. Let y be o(-20). Suppose f - k - 1272 = y, -4*k = 11*f - 16*f + 6355. Is f a prime number? False Let r(w) = 7*w**2 + 4*w - 5. Let k be r(1). Is (2 - k/8)*(1603 - 15) a composite number? True Suppose 0 = -5*c + 2*c. Suppose -j - j + 4*u + 18 = 0, 2*u = c. Suppose -815 = 4*y - j*y. Is y composite? False Let f(w) = 10*w - 3*w - 20*w + 4. Suppose -3*g + m - 4*m = 6, -g + m = 12. Is f(g) a composite number? True Let u = 85 - 83. Suppose -u*h + 114 = -4. Is h a composite number? False Let i(j) = 6383*j + 2. Let l(x) = x - 1. Let r(m) = i(m) + 6*l(m). Is r(1) a prime number? False Let k be (2 - (1 - 0)) + 7. Suppose -2 - k = -2*j. Suppose -j*h + 2053 = -4*p, 2050 = 5*h - 6*p + p. Is h prime? False Let m(n) = -1734*n**3 - 2*n - 1. Let x(l) = -l**2 - 9*l + 9. Let w be x(-10). Is m(w) composite? True Let x(n) be the second derivative of 83*n**8/3360 - n**7/2520 + n**5/120 + 5*n**4/12 - 3*n. Let l(i) be the third derivative of x(i). Is l(1) prime? False Let h be (22 - (-3 + 2))/(-1). Let p = 48 + h. Let k = p + -6. Is k a composite number? False Suppose 0*i = 3*i - 6. Let o(g) = 327*g - 5. Is o(i) a composite number? True Let b(p) = -18*p + 163. Is b(-42) composite? False Let k be (-10 + -2)*(-39)/(-12). Let y = 26 + k. Let h(w) = -w**3 - 13*w**2 - 5*w + 18. Is h(y) a prime number? True Suppose 5*y + 2*z - 12463 = 0, 0 = -39*z + 34*z + 20. Is y a composite number? True Let r be ((-20)/4)/(0 - 1). Let y(a) = a**2 + r + 5*a + 1 + 3*a - 5. Is y(6) prime? False Let w = 1047 + 146. Is w prime? True Let z = -1185 - 170. Let o = z - -2988. Is o a composite number? True Let y(h) = 24*h**3 - 4*h**2 + 6*h - 2. Let x be y(4). Suppose -u - x = k - 3*u, -3*u = 3*k + 4482. Is 20/(-50) + k/(-10) composite? False Let i(g) = g**2 + 15*g + 13. Let a be i(-14). Let b = a + 3. Suppose 5*r = -b*q + 141 + 35, -4*r - 75 = -q. Is q a prime number? True Let a = 40 - 38. Let h be (-28956)/(-9) - a/(-3). Let x = -2233 + h. Is x prime? False Suppose 3*w + 370 = s, -3*w + 12 = 3. Is s composite? False Let b(z) = -4*z - 15. Let f be b(-5). Suppose 4 = -f*y - 26. Is y/(-4)*(-2032)/(-24) composite? False Let z = 25 + -16. Suppose -6*t + z = 3. Is (3 - t)*(-387)/(-6) composite? True Suppose 6*w - 4 = 4*w. Let j(m) = 6*m**2 - 2 + m - 8*m**w + 292*m**3 + 2. Is j(1) prime? False Let r(x) = 45*x**3 + 5*x**2 - 2*x + 67. Is r(9) composite? True Let m(i) = -2*i + 21. Let r be m(3). Is 4/30 - (-88543)/r a prime number? True Let g(d) = -426*d**3 + 2*d**2 - 1. Let v be -6*1/2*3. Let y(c) = 2*c + 17. Let b be y(v). Is g(b) prime? False Suppose -11263 = -5*d + 8437. Let j = -1991 + d. Is j prime? True Suppose -r + 4 + 69 = 0. Let v(a) = -a**2 + 2*a - 1. Let s be v(3). Let m = r + s. Is m a prime number? False Suppose 0 = h + 4*f - 923, -4*h - 3*f = -6*f - 3616. Is h prime? True Suppose -b - w = -6*w - 189, 4*w + 193 = b. Suppose -5*r - b = -m, -2*m - 4*r + 627 = m. Is m prime? False Suppose -13*w + 3 = -12*w. Suppose -w*n = -2186 - 793. Is n composite? True Let k = -5603 + 13104. Is k composite? True Let z(d) = -d - 3. Let u be z(-5). Let h be (u - 2 - -3)*19. Let l = h + 106. Is l prime? True Let z = 73251 + -39400. Is z a prime number? True Suppose 53*s - 10 = 48*s. Suppose -3*p + 2*n + 9319 = 0, 6230 = 2*p + n + s*n. Is p a prime number? True Suppose 6*q = -0*q + 72. Suppose -2*b = -3*h + q, -2*b = -h + 2*b + 4. Suppose h*n = -n + r + 669, 4 = -r. Is n a prime number? False Is (6/69 - 5867433/207)*-1 a composite number? True Let x(l) = -284*l**2 - 2*l + 2. Let f be x(-2). Let t = -1615 - f. Let i = -234 - t. Is i a composite number? False Let p(h) be the first derivative of 10*h**2 + 13*h + 7 - 18*h + 2*h**2. Is p(5) a composite number? True Let h(j) = j**2 + 3*j + 6. Let x be h(-3). Suppose -x*a = -2*a. Suppose a = 33*l - 37*l + 580. Is l a prime number? False Suppose 6*g = -2*g + 24. Suppose 0 = g*d - 5*z - 276 - 3072, -4*d + 2*z = -4450. Is d a composite number? True Let n(f) = -f**2 - 8*f - 13. Let s be n(-6). Is (-710)/(0 + -5) - (4 + s) a composite number? False Let k be 2/(-5) - 6/10. Let d = -13 - k. Is ((-993)/d)/((-1)/(-4)) composite? False Let w(v) = 20*v**2 - 3*v. Let l be w(2). Suppose -4*p = -5*u + 5, 0 = 3*u - 2*p - 1 - 4. Let j = l - u. Is j a prime number? False Suppose z = -1, 916 = 3*c + 4*z - 7708. Suppose 0*m = 4*m - c. Is m prime? True Suppose -85*m - 2165133 = -178*m. Is m composite? True Suppose -2*f - 1244 = -5*y - 3*f, -y + 251 = -2*f. Let d = y - 29. Suppose -3*m + s + 49 = -122, -4*m = -4*s - d. Is m prime? False Let v(p) = -319*p**2 + p - 3. Let u be v(-2). Let j = u + 2090. Is j a composite number? False Suppose 30*i - 36*i = -106698. Is i a prime number? True Let y be (-4)/20 - (-22896)/(-20). Let x = y - -2462. Is x prime? False Let u be (-4)/(-10)*45/9. Suppose 5*z - 8 = u. Is -46*33/(-6) - z a composite number? False Let t = 5 + -1. Let r be (6/7)/(t/(-28)). Is 1956/r*(-2)/4 a prime number? True Let g(i) = -i**3 - 8*i**2 - i + 9. Let k(a) = -3*a**3 - 23*a**2 - 2*a + 27. Let o(v) = 17*g(v) - 6*k(v). Suppose 0 = -3*z + 29 - 8. Is o(z) prime? True Suppose 22*j - 5755 = 17*j. Is j composite? False Let g = 235 - 53. Suppose 0 = -2*p - x - 0*x + g, -4*x = -4*p + 340. Is p a prime number? True Let q = 6738 + -3361. Is q a composite number? True Suppose 0*n - 2*n = -128. Let p be 4/22 - n/(-11). Let i(z) = 48*z + 5. Is i(p) a prime number? True Let r = 33 + -31. Suppose 0 = -3*n - r*n - 20. Is n/12*3*-2471 prime? False Suppose 5*n + 847 - 13447 = -5*i, 2*n + i = 5035. Is n a composite number? True Suppose -3*a - 57 = 4*g - 7*g, 0 = -2*g - 4*a + 56. Suppose g = 5*p - 4*y, 2*p + 5*y - 22 = -0*p. Suppose 0 = 4*k - p*k + 26. Is k a prime number? True Suppose 0*p + 6552 = 3*p. Suppose -4*q = 2072 + p. Is (-2)/10 - q/20 prime? True Suppose -5*q + 4*v = 51, 1 = 2*v + 3. Let w be 97*-2 - (-11 - q). Let p = -137 - w. Is p a prime number? False Let y be 2 + -2*3/(-6). Let s(p) = -8*p + p**2 - 5 - 1 + y. Is s(9) a composite number? True Let w = 27 - 24. Let x(o) = 5*o**3 + 1. Let i be x(1). Suppose w*d - i*d = -327. Is d a composite number? False Suppose 2*v = r + 962, -2*v + 3*r + 970 = -0*r. Is v a prime number? True Let l(p) = 1684*p**2 + 2*p - 9. Is l(2) prime? False Let z(o) = o**3 + 2*o**2 - 2*o + 2. Let d be z(-3). Let v be (-1)/(0 + d) - -3. Suppose -2*k + a - 196 = -3*k, v*k - a = 759. Is k a composite number? False Is 6 - (-2 - -13)*-89 a prime number? False Suppose 16*j = 38*j - 64658. Is j a composite number? False Suppose 4*d + 2392 = i + 5*d, 0 = 3*d + 3. Is i a composite number? False Suppose x + b = 5898, -9*b + 5899 = x - 7*b. Is x a composite number? False Let u(g) = 49
{ "pile_set_name": "DM Mathematics" }
4*r. Round v to the nearest 10. -120 Let m = 0.1 + -0.0984. Round m to 3 decimal places. 0.002 Let s = -50 - -26. Let g = -273.28 + 249.28076. Let u = g - s. Round u to four dps. 0.0008 Let n = 1404935.05184 + -1651719.851. Let h = n + 246833.8. Let s = h + -49. What is s rounded to four dps? 0.0008 Let k = -25.7172999 - -25.6973. Let i = -0.1 - -0.12. Let q = k + i. Round q to seven decimal places. 0.0000001 Let x = 0.0235 - -51.5765. What is x rounded to the nearest 10? 50 Let q = 56948 + -14616. Suppose q = 4*h - 1477668. What is h rounded to the nearest 100000? 400000 Let c = -192541 - -192631.9795. Let s = -91 + c. What is s rounded to 3 decimal places? -0.021 Let d = -12.25 - -0.25. Let s = d - -11.9964. Round s to 3 decimal places. -0.004 Let z = -1.4 + 8.4. Let a = -11 + z. Let n = 3.994 + a. What is n rounded to three decimal places? -0.006 Let h = 5 - 3. Let p be (312500/(-6))/(h/(-192)). What is p rounded to the nearest one million? 5000000 Let g = 3.2 + -0.2. Let y = 3.5 - g. Let b = y - 0.518. Round b to two dps. -0.02 Let l = 23 + -18. Let n be (3 - 0)/(0 + 1). Suppose 5*w + 3*h + 46991 = 0, 3*h + 18791 = -l*w + n*w. What is w rounded to the nearest 1000? -9000 Let v = -10.3 - -13. Round v to the nearest integer. 3 Let n = 18272 + -26355. Let c = 8081.0055 + n. Let j = -2 - c. What is j rounded to 3 decimal places? -0.006 Let y = 3.89 - -0.11. Let j = y - 4.06. Round j to 1 dp. -0.1 Let t = 18 - 17.93. What is t rounded to 2 decimal places? 0.07 Let x = -0.271 + 0.27261. Round x to four dps. 0.0016 Let n = -109 - -38. Let r = n + 71.0000047. Round r to 6 dps. 0.000005 Let m = 4621439.514920856 + 388.485070344. Let o = m + -4621833. Let f = -5 - o. What is f rounded to six dps? 0.000009 Let a = -256.8 + 468. Let d = -150 + a. Let t = 70 - d. Round t to the nearest integer. 9 Let n be 1/(-1 + 672/670). Let p = n + -150. Round p to the nearest 10. 190 Let v = 0.18014 - 0.18. Round v to 4 decimal places. 0.0001 Let p = 14 + -14.00172. Round p to 4 dps. -0.0017 Let n(l) = -71331*l**3 - 5*l**2 - 12*l - 2. Let f be n(-9). Round f to the nearest 1000000. 52000000 Let i(y) = y - 1. Let v(w) = -493*w - 7. Let x(g) = 42*i(g) - 6*v(g). Let p be x(-4). Let u be 5100*(p/9 + 0). What is u rounded to the nearest one million? -7000000 Let d = -1511554733.9132746 - -1511554357. Let q = d - 0.0664254. Let j = q - -377. What is j rounded to three decimal places? 0.02 Let k = 289.79 + -291. What is k rounded to 1 decimal place? -1.2 Let m = -0.1 + 0.06. Let r = m + 0.25. Let c = r + -0.2136. Round c to three dps. -0.004 Let l = -2.969 - -3. Let v = l - 18.231. Let h = v + 20. What is h rounded to zero decimal places? 2 Let d be ((-2)/(-2))/((-7)/(-21)). Suppose -d*t - 9594 = 38706. What is t rounded to the nearest one thousand? -16000 Let m(s) = 20800001*s - 1. Let i be m(1). Suppose -2*o - 2*o + i = 0. Round o to the nearest one million. 5000000 Let g = 43 - 161. Let q = 118.258 + g. Round q to two decimal places. 0.26 Let x(y) = 784*y**3 + 4 - 3 + y - 3 - 3. Let g be x(5). What is g rounded to the nearest ten thousand? 100000 Let r = 5.8 + -7.16. Round r to 1 dp. -1.4 Let k = -32 - 18. Let a be k/3*(-4128)/4. Suppose -a = 4*t - 0*t. What is t rounded to the nearest 1000? -4000 Let v = -2381818 + 12811818. What is v rounded to the nearest 1000000? 10000000 Let l = 114.785 - 115. What is l rounded to two decimal places? -0.22 Let w = -95775489 - -228761869. Let t = -132986368.0000029 + w. Let d = t - 12. Round d to six dps. -0.000003 Let a = -0.29934 + 0.3. Round a to 4 dps. 0.0007 Let i(f) = -2320*f - 5 + 37238*f + 23929*f + 21152*f. Let z be i(-5). What is z rounded to the nearest one million? 0 Let t = 21 + -13. Let y = t + -5. Let v = 2.99996 - y. Round v to 5 dps. -0.00004 Let u = 0 + 2. Let b(h) = -h**2 + 4*h. Let k be b(u). Let v(w) = -1140*w**3 - 3*w**2 + 3*w - 4. Let s be v(k). Round s to the nearest 10000. -70000 Let s = 350506458.0822891938134704 + -0.0821761938134704. Let c = s + -350506296. Let n = 162 - c. What is n rounded to five decimal places? -0.00011 Let c = -53 + 59.1. Let t = c + -0.1. Let b = 6.0000003 - t. Round b to 7 decimal places. 0.0000003 Suppose -4*h - 16 = 0, -3*h - 2680279 = 5*q - 14530267. What is q rounded to the nearest one hundred thousand? 2400000 Let h = 61.9758 + -62. Round h to three dps. -0.024 Let b = -73 + 163. Let x = b + -89.9999907. What is x rounded to six decimal places? 0.000009 Let a = -1.92 + -0.18. Let t = -2.099942 - a. Round t to five dps. 0.00006 Let m(u) = -4*u**3 - 78*u**3 + 6*u - 8*u**2 - 97*u**3 - 7 - 48*u**3. Let q be m(13). Round q to the nearest one hundred thousand. -500000 Let z = -26443.94441 + -0.05559. Let w = -26444.049996 - z. Let y = -0.05 - w. Round y to 5 decimal places. 0 Let d = -46.6 - -41. Round d to zero decimal places. -6 Let l = 16.11032 + -16.51. Let u = 0.1 - -0.3. Let r = l + u. Round r to 4 decimal places. 0.0003 Let q = -20.5 - -20.5533. Round q to 2 decimal places. 0.05 Let c = -3.9 - -4.256. What is c rounded to 1 dp? 0.4 Let z = -8 - -10. Suppose 0 = 6*p - z*p + 22400000. Round p to the nearest one million. -6000000 Let l = 203 - 298. Let s = l - -94.99917. Round s to four decimal places. -0.0008 Let j = 4.00106 - 4. Round j to 4 decimal places. 0.0011 Let k = 0.50006 - 0.5. What is k rounded to 4 dps? 0.0001 Suppose 15 = 8*v - 3*v. Suppose -415 = -2*r + 5*p + 147, p = -v*r + 877. Suppose r = 5*y - 14. Round y to the nearest ten. 60 Let a = -0.17 - -1.3. Let i = -1.2 + a. Let j = 0.07000064 + i. What is j rounded to 7 decimal places? 0.0000006 Let f(n) = 1528*n**3 - 7*n + 6. Suppose 7*d + 10 = 2*d + 4*x, -5*x = 3*d + 43. Let i be f(d). Round i to the nearest 100000. -300000 Let n = 44.39 - -0.61. Let x = -44.99958 + n. What is x rounded to 4 dps? 0.0004 Let v = -0.021 + 0.07. Round v to two decimal places. 0.05 Let w = -36546 - -24746. Round w to the nearest 1000. -12000 Let z = -14 + 15.4. Let c = z + -1.40052. What is c rounded to four decimal places? -0.0005 Let j = 62 + -61.99784. Round j to four dps. 0.0022 Let y = 0.445 - 0.43. Round y to one dp. 0 Let z = -0.192 + 74.592. Let c = -74.38473 + z. Let v = -0.015 + c. What is v rounded to 4 decimal places? 0.0003 Let o = 308.781 + -309. Let z = -0.002821 + 0.220831. Let u = z + o. What is u rounded to 4 dps? -0.001 Let i = 12247.9550011 - 12247.355. Let z = -97 - -97.6. Let q = z - i. Round q to 6 dps. -0.000001 Let z = -0.20087 + 9.65387. Let y = -9.5 + z. Let l = y - -0.04647. What is l rounded to four dps? -0.0005 Let q = -0.26 + 0.17. Let z = -0.18 - q. Round z to one decimal place. -0.1 Let z be 3414/8*(-8)/(-3). Suppose -2*j + z - 7538 = 0. What is j rounded to the nearest one thousand? -3000 Let i be (-3)/7 + 195985/(-35). What is i rounded to the nearest one thousand? -6000 Let p = -622 + 233. Let u = -732 - p. Let w be (-800)/6*(-2 + u). What is w rounded to the nearest 10000? 50000 Let j = -3 - -8. Let n = j - 3. Let a be 1/(-2) - (-11400001)/n. What is a rounded to the nearest 1000000? 6000000 Let j = 10 - 13. Let b be -4 + -4 + 116976/j. What is b rounded to the nearest 10000? -40000 Let u = -13 + 13.0000032. What is u rounded to six dps? 0.000003 Let a = -131 - -75. Let q = a + 60.6. Round q to zero decimal places. 5 Suppose -3*k = -15, 3*k - 426025 = 2*d - 2*k. Round d to the nearest 10000. -210000 Let y = 2.47 + -2.469881. What is y rounded to five dps? 0.00012 Let t(p) = -p + 10. Let k be t(8). Let b be -2 + (-5399)/k*4. Round b to the nearest one thousand. -11000 Let q = -1.02 + 10.62. Let x = q - 9.694. Round x to 2 decimal places. -0.09 Suppose 2 + 1 = -f, z + 4*f = -13. Let n(b) = -4*b**3 + b**2 - 1. Let g be n(z). Suppose g*x = -0*x - 12000. What is x rounded to the nearest 10000? 0 Suppose 360 = -v - 4*y, -2*v - 1680 = 3*v - 4*y. Round v to the nearest 100. -300 Let c = 58283.11082 - 58191.11. Let b = 72 - -20. Let j = c - b. What is j rounded to 4 decimal places? 0.0008 Let n = 1.137 + -27.787. Let t = n - -0.65. Let d = -29.2 - t. What is d rounded to the nearest integer? -3 Let t = 28292518.5 - 28292571.5000092. Let q = t + 53. What is q rounded to six dps? -0.000009 Let y = 2001171856665.3199916 + -2001172656667. Let c = y - -800002. Let z = 0.32 - c. Round z to six dps. 0.000008
{ "pile_set_name": "DM Mathematics" }
**5 - 3*x**5 + (-4*x**2 + x**2 + 5*x**2)*(-2*x**3 + 0*x**3 + 3*x**3). 3*x**5 Expand (-1 + 8*t - 2*t - 5*t)*(0*t**3 + 4*t**3 + t**3). 5*t**4 - 5*t**3 Expand (5*i - 3*i - 4*i)*(-3*i**4 - 2*i + 2*i + 5 + 2*i**4 - 5 + (-1 + 0 + 3)*(-1 + 1 + 2*i**4) + 4*i**4 + 0*i**4 - 2*i**4). -10*i**5 Expand (-1 - 2 + 1)*(11*u - 36 + 36)*(4*u**2 - 3*u**2 + 0*u**2). -22*u**3 Expand -n**5 + n**3 - n**3 + (n - n + 2*n**4)*(-44*n + 80*n - 42*n). -13*n**5 Expand (1 + 8*w**3 - 1)*(-2*w + 5*w - 2*w)*(-2*w + 0 + 0). -16*w**5 Expand (2*o + 2 - 2)*((-2 + 1 - 1)*(-2 + 0 + 1) + 7 - 3 - 3)*(0 + 0 + o). 6*o**2 Expand (1 - 1 - 6*m)*(1 - 3 - 2)*(0 + 1 - 3). -48*m Expand ((-4 - 3 + 2)*(2 + 2 - 5) - 3 + 6 - 5 + (-1 - 1 + 1)*(0 + 4 - 3) + 0 + 1 + 0)*(x**4 + 4 - 4). 3*x**4 Expand (-m**4 - 2 - 1 + 2)*(-4 - m + 4)*(0 + 3 + 3). 6*m**5 + 6*m Expand (u**3 + 2*u + 18 - 18)*(3 - 3 + 2*u). 2*u**4 + 4*u**2 Expand (-5*c**3 - 6*c + 6*c)*(-1 + 1 + 2)*(5*c + 3 - 2 + 0). -50*c**4 - 10*c**3 Expand (-1 + 1 + 1)*(11 - 2*l - 11) - 4*l - 2*l + 2*l - 3*l + 4 - 4. -9*l Expand p**3 + 3*p**3 - 6*p**3 - p + 2*p**3 + p + (-1 - 2*p + 1)*(8 - 8 + 5*p**2). -10*p**3 Expand (-2*d - d + 0*d)*(3*d + 2*d - 3*d)*(0 + 4 + 2)*(3*d**3 - 3*d**3 - 2*d**3). 72*d**5 Expand (-1 - 1 - 1)*(a**3 - 5*a**3 + 5*a**3 + (-3 - a + 3)*(4*a - 4*a + 2*a**2) + a**2 - a**3 - a**2). 6*a**3 Expand (-4 + 4 - 2*c)*(3 - 5 + 0) + (-3*c - c + 3*c)*(2 + 1 - 4). 5*c Expand (-2 - 2 + 0)*(-4*r + 2*r - 3*r) - 3*r + 3*r + r + (-2 + 3 + 0)*(-2*r + 5*r - 2*r). 22*r Expand (-p + 3*p + 5*p)*(-2*p**4 + 5 + p**4 + 3). -7*p**5 + 56*p Expand (2 - 2*a - 2)*(-a**3 - 5*a**3 + 3*a**3) - 2*a**4 + 2*a**4 - 3*a**4. 3*a**4 Expand (0*t**2 + t**2 + 2*t**2)*(0 - 1 + 3). 6*t**2 Expand (b + b + 2*b)*(1 - 2 + 3)*(-2*b + 0*b + b). -8*b**2 Expand -6*d + 0*d - d + (2*d - 3*d + 3*d)*(-1 - 4 + 3) + 2*d - d + 0*d. -10*d Expand (3*r - 7*r - 2*r)*(3*r + 2*r - 4*r) + (-2 - 3 + 4)*(0*r - 5*r + 4*r)*(r - 1 + 1). -5*r**2 Expand (2*h**2 - h**2 + 0*h**2)*(4*h - 1 - 4 + 3). 4*h**3 - 2*h**2 Expand (-2*o + 0*o**2 + 0*o**2 + 3 + 5*o**2)*(2*o**3 + 2*o**3 - 7*o**3). -15*o**5 + 6*o**4 - 9*o**3 Expand (-3 + 3 + 3*o)*(1 - 1 - o)*(-o - 3*o + 5*o)*(2 - 6 + 2). 6*o**3 Expand (-y - 3*y + y)*(-2 + 5 + 4)*(2*y - 2 + 2). -42*y**2 Expand 2*k**3 + 0*k**3 - 3*k**3 + (1 + 3 + 11)*(2*k**2 - 2*k**2 - 2*k**3). -31*k**3 Expand -2 + 2 - 2*s**2 + (s + 4*s - 3*s)*(2*s - 2 + 2)*(0 + 1 - 4). -14*s**2 Expand (p**2 + 6*p**2 - p**2)*(-4*p + p**2 + 5*p + 0*p). 6*p**4 + 6*p**3 Expand 6*a + 2*a + 2*a + (4 - 5 + 0)*(-4*a + 0*a + 5*a) - 2*a + 0 + 0. 7*a Expand (3*r**4 + 1 - 2*r**4 - 4)*(-65 + 65 + 3*r). 3*r**5 - 9*r Expand (3*u + 6*u - 10*u)*(-2 + 1 + 3) - 1 - 2*u + 1. -4*u Expand -2*k**3 - k**3 + 0 - 2 + (3*k + 3 - 3)*(-2*k**2 + 2*k**2 - k**2) + 5*k - 5*k + k**3. -5*k**3 - 2 Expand q**2 - 4*q**2 + 2*q**2 - q**2 + 3*q**2 - q**2 + (4*q + 3*q - 5*q)*(0 + 0 + 2*q) + (1 - 2 - 2)*(-q**2 - 2*q**2 - q**2). 16*q**2 Expand (-1 - 2*i + 1)*(2*i + 4 - 4) + i**2 - 3*i + 3*i + (0*i + 2*i - 4*i)*(0*i + 0*i - 2*i) + (-3 + 1 - 1)*(2*i**2 + i**2 - 4*i**2). 4*i**2 Expand -10*f - 6*f**2 + 10*f + 5*f**2 - 2*f**2 - 2*f**2 + (-4*f + f + 4*f)*(4*f - 3*f + f) - f**2 - 2 + 2 - 3*f**2 + 3*f**2 + 2*f**2 + 0*f**2 + 0*f**2 - f**2. -3*f**2 Expand (-h**3 - 2 + h**3 + 4*h + h**3)*(14*h - 5*h + 3*h). 12*h**4 + 48*h**2 - 24*h Expand (3*v + 0*v - 4*v)*(v**2 - 2*v**2 - v**2) - 10*v**3 + v - v**2 - v. -8*v**3 - v**2 Expand (2*w**3 - 1 + 1)*(-3 + 1 + 0)*(-5 - 6 + 3). 32*w**3 Expand (8*j + 8*j**4 - 8*j + (4 - 2*j**2 - 4)*(-2*j**2 + j**2 + 0*j**2) + j**4 + 2*j**4 - 4*j**4)*(-1 + 1 + j + 2). 9*j**5 + 18*j**4 Expand -a**5 + 5*a**2 - 5*a**2 + (a**2 + 0*a + 0*a)*(-7*a**2 + 7*a**2 + 4*a**3). 3*a**5 Expand (2*f**4 + 0*f**2 + 0*f**2)*(-1 + 1 - 1)*(0 - 4 + 0). 8*f**4 Expand (-12*i - 18*i + 29*i)*(-2*i + 5 - 5). 2*i**2 Expand -3*z**5 + 0*z**3 + 2*z**3 + 4*z**5 + (0 + z**3 + 0)*(28*z**2 - 106*z + 106*z). 29*z**5 + 2*z**3 Expand (12 - 12 - 3*y)*(3 + 0 - 2)*(4*y**4 + 4*y**4 - 7*y**4). -3*y**5 Expand (2 - 2 - z)*(2 - 1 - 2) + (0 - 2 + 1)*(-2*z + 7*z - 2*z). -2*z Expand (3*l - 4*l - l)*(0*l - l**3 + 0*l) + 0*l**4 + 3*l**4 - l**4 + 2*l**2 - 3*l**4 - 2*l**2 + (2*l + 0*l - 3*l)*(l**2 - l**2 + 3*l**3). -2*l**4 Expand (-12 + 12 - 4*t)*(-t - 2 + 2) - t**2 + 3*t**2 - 1 + 5. 6*t**2 + 4 Expand -f**3 - f**3 + 4*f**3 + f - 3*f**3 - f + (2 + 0 - 1)*(-f**3 + f**3 - 2*f**3). -3*f**3 Expand (23 + m - 23)*(-1 + 1 + 2)*(3*m**2 + 2*m**2 + m - 6*m**2). -2*m**3 + 2*m**2 Expand (-10*x + 7*x - 7*x + (0 + 0 + x)*(4 - 2 + 0))*(x - 4*x - x). 32*x**2 Expand (0 - 1 - 1)*((0*n - 2*n**2 + 0*n)*(2*n**2 - 1 + 1) - 2*n**4 - 3*n**2 + 3*n**2 + 4*n**3 - 4*n**3 + 2*n**4). 8*n**4 Expand (-u - 2 + 2)*(-4*u**3 + 5*u**3 + u**3) - 3*u**4 + u**4 - u**4 + (0 - 1 - 1)*(3*u**4 + 4*u**4 - 5*u**4). -9*u**4 Expand (12*s**2 + 0*s**2 - s**2)*(-9 + 0*s + 6 - 4*s). -44*s**3 - 33*s**2 Expand (-3 + 1 - 1)*(-9*c**4 + 2*c**4 + 2*c**4). 15*c**4 Expand 4*c**3 - c**4 - 4*c**3 + (-2*c - 2 + 2)*(c**3 - 3*c**3 + c**3) + 5*c - 2 - 5*c + 2*c**4. 3*c**4 - 2 Expand (16 - 11 - 35)*(-j**3 + 0*j + 0*j). 30*j**3 Expand 8*h**2 - 4*h**2 + 1 - 3 + (-h**2 + 2*h**2 + 0*h**2)*(-5 + 0 + 3). 2*h**2 - 2 Expand (-4*s**2 + 4*s**2 + 2*s**2)*(s + 6*s + 9*s)*(3*s - 1 + 1). 96*s**4 Expand 3 - x - 3 + (7 - 2 - 3)*(x - 5*x + 3*x) + 2*x + 2*x - 8*x. -7*x Expand (-3*w**2 + 3*w**2 - w**2 + (-2 + 4 - 4)*(0*w**2 + 4*w**2 + w**2))*(0*w - 5*w + 4*w + (3*w - 4*w + 2*w)*(-4 + 4 - 2) - 2*w + 1 - 1). 55*w**3 Expand (-4*j + 6*j - 4*j)*(-37 - 24 + 42)*(-3 + 4 + 0). 38*j Expand (0 + x + 0 + (0 + 0 - 2*x)*(2 - 5 + 1))*(4*x - 4*x - 4*x**2). -20*x**3 Expand 2*s**5 + 2*s - 2*s + (-s**2 + s**2 + s**2)*(0*s**3 + 8*s**3 - s**3). 9*s**5 Expand (-1 + 1 + 2*l)*(1 - 3 + 1)*(-43 - 91 + 45). 178*l Expand (-k**2 + 0*k**2 + 3*k**2)*(-7*k - 2*k + 3*k) - 4*k**3 + 4*k**3 + 3*k**3. -9*k**3 Expand (7 - 3*o - 7)*(-3 - 4 + 8 - 3*o). 9*o**2 - 3*o Expand (0 + 2 + 1)*(2*s**3 - 2*s**3 - 4*s**3) + s**3 - s**2 + s**2. -11*s**3 Expand (-4*k**2 + 3*k**2 - k**2)*(3 - 4*k**3 - 3) + 2*k**5 - k**5 + 0*k**5. 9*k**5 Expand (-a + a - 2*a)*(37*a - 37*a + 4*a**2). -8*a**3 Expand (-3*j + 3*j - 4*j**2 + (3 - 3 + 3*j)*(-j - 1 + 1) - 1 + 1 - j**2)*(-4*j + 4*j + 3*j**2). -24*j**4 Expand (1 + 1 - 1)*(2*n + 0*n - n) + (-1 - 2*n + 1)*(0 + 0 + 2) + 5*n - 3*n - 4*n - n + 3*n - n + 1 + 2*n - 1. -2*n Expand (-2*p - 5 + 5)*(2 - 3 + 2)*(-6*p + 3*p + p) + (1 + 3 - 6)*(p**2 + 2*p - 2*p). 2*p**2 Expand (-43 + 43 - 14*u)*(-u**3 + 2 - 2). 14*u**4 Expand (5*c - 3*c + 0*c)*(-6*c - 13*c - 16*c). -70*c**2 Expand 4*i**3 - 3 + 3 + 3*i**3 - 3*i + 3*i + (2*i**3 - 4*i**3 + 0*i**3)*(-2 - 1 + 1) + i**3 - i**2 + i**2 + 0*i**3 - i**3 - i**3. 10*i**3 Expand 39*x**2 - 4*x - 19*x**2 - 2 - 18*x**2 + 2*x**3 + (-x + x + 2*x**2)*(0 + 2*x + 0). 6*x**3 + 2*x**2 - 4*x - 2 Expand (2*u**2 - 5*u**4 - 2*u**2)*(-4*u + u + u) - 2*u**5 - u**5 - 2*u**5. 5*u**5 Expand (1 + 0 + 0 + 2 - 1 - 2 + (-4 - 1 + 6)*(1 + 2 - 2))*(0*q + 8*q + 4*q). 12*q Expand (4*q - 3*q + 0*q)*(8*q - 6*q + 3*q). 5*q**2 Expand (1 - 1 - a)*(2*a**2 - 2 + 2) - a**3 - 2 + 2 + (-1 + 2 + 3)*(-3*a**3 + 3*a**3 + a**3). a**3 Expand (45*b + 93*b - 27*b)*(2*b**2 + 0 + 0). 222*b**3 Expand (-2*m**2 + 0*m**2 + m**2)*(-2*m - 1 + 1 + (-2 - 1 + 4)*(-4*m + 6*m - 3*m) + 3 - 2*m - 3). 5*m**3 Expand (-4*u**2 + 0*u**2 + 3*u**2)*(-u - 2*u**3 + u + (-u**2 + 0*u**2 + 7*u**2)*(5*u - 3*u - 4*u) - 3*u**3 + 2*u**3 + 0*u**3). 15*u**5 Expand -y**3 + 3*y**3 - y**3 + (-3*y + 2*y**2 + 3*y)*(2*y + 2*y - 2*y) + 0*y**3 + 0*y**3 + y**3. 6*y**3 Expand 16*i**4 - 2*i**2 - 2*i**3 - 9*i**4 - 9*i**4 + (-5*i**3 + i**3 + 3*i**3)*(0 + 2*i + 0). -4*i**4 - 2*i**3 - 2*i**2 Expand (3*r + 0*r - 4*r)*(-2*r - r + r) - 61*r**2 + 7*r**2 + 5*r**2 + 2*r**2 - 4*r + 4*r. -45*r**2 Expand 0*j**4 - j**4 + 3*j**4 + (3*j**3 - 2*j**3 - 2*j**3)*(-4 + j + 4) - 17 + 9*j**4 + 17. 10*j**4 Expand (2 - 1 + 0)*(-2 + 2 - 2*i) - 2*i + i + 0*i + (-3*i - 4*i - 4*i)*(0 + 0 - 2)*(1 - 1 - 1). -25*i Expand (-6*t + 22*t + 12*t)*(3*t**3 - 3*t**3 - 2*t**4). -56*t**5 Expand (2*v**3 - 6*v**2 + 6*v**2)*(2*v - 32*v - v). -62*v**4 Expand -5*s + s + 5*s + (-3*s - s - 2*s)*(0 + 3 - 2). -5*s Expand 2*t**4 - 3*t**4 - 11*t**4 + (1 - 7 + 4)*(-2*t**2 + 2*t**2 - 2*t**4). -8*t**4 Expand (-4*j**4 + 3*j**4 - j**4 + 2)*(1 + 2*j - 1)*(-4 + 0 - 1). 20*j**5 - 20*j Expand (0*j - 3*j + 0*j)*
{ "pile_set_name": "DM Mathematics" }
re in 1/10 of a litre? 100 What is 0.1333851 nanoseconds in milliseconds? 0.0000001333851 What is one sixth of a century in months? 200 Convert 665.3214ml to litres. 0.6653214 Convert 96385.92 months to years. 8032.16 How many millilitres are there in seven halves of a litre? 3500 What is twenty-one fifths of a millimeter in micrometers? 4200 Convert 8.274094 litres to millilitres. 8274.094 What is 601898.1ug in milligrams? 601.8981 How many seconds are there in 1/9 of a week? 67200 What is 37/2 of a milligram in micrograms? 18500 How many milligrams are there in 2.10536kg? 2105360 How many micrometers are there in 5.76094 meters? 5760940 What is 27/5 of a litre in millilitres? 5400 What is 6730.21 kilometers in nanometers? 6730210000000000 How many decades are there in 322.0008 years? 32.20008 What is 22.01276 centimeters in nanometers? 220127600 How many micrometers are there in twenty-six fifths of a centimeter? 52000 How many decades are there in 81/4 of a millennium? 2025 What is 7/8 of a gram in milligrams? 875 How many litres are there in 2.213265ml? 0.002213265 How many meters are there in 9726.043um? 0.009726043 How many millimeters are there in nineteen quarters of a meter? 4750 What is 84318.8mg in tonnes? 0.0000843188 What is 5.448872 years in centuries? 0.05448872 How many millilitres are there in 3/5 of a litre? 600 How many months are there in 7/3 of a century? 2800 Convert 59.17043ug to milligrams. 0.05917043 How many micrometers are there in fourty-eight fifths of a millimeter? 9600 What is 0.5439649 hours in nanoseconds? 1958273640000 How many seconds are there in 29/2 of a hour? 52200 How many centuries are there in 513729.7 millennia? 5137297 How many millilitres are there in seven quarters of a litre? 1750 What is 7160.15um in meters? 0.00716015 What is 64.62344um in millimeters? 0.06462344 How many nanograms are there in 0.976163kg? 976163000000 What is 74896.22 millennia in years? 74896220 How many millilitres are there in seven eighths of a litre? 875 What is 355.76l in millilitres? 355760 What is 68354.15 minutes in milliseconds? 4101249000 How many millilitres are there in 342.121l? 342121 How many centimeters are there in five quarters of a meter? 125 What is 192087.78 months in centuries? 160.07315 How many years are there in 3/40 of a millennium? 75 What is 0.8002411 decades in months? 96.028932 How many grams are there in 25/4 of a kilogram? 6250 What is 3/8 of a gram in milligrams? 375 What is 1/24 of a decade in months? 5 What is one ninth of a hour in seconds? 400 What is 37.31103 years in centuries? 0.3731103 What is 2.6188299 seconds in hours? 0.00072745275 How many micrometers are there in twenty-seven halves of a millimeter? 13500 What is 50.37608 litres in millilitres? 50376.08 How many micrograms are there in 29/2 of a milligram? 14500 Convert 7.999358t to grams. 7999358 How many meters are there in 64.8849 millimeters? 0.0648849 How many litres are there in 7.204338 millilitres? 0.007204338 What is twenty-two fifteenths of a hour in seconds? 5280 How many kilograms are there in 0.6670632 micrograms? 0.0000000006670632 How many millilitres are there in 43/4 of a litre? 10750 What is 5/8 of a minute in milliseconds? 37500 What is 95172.81ng in tonnes? 0.00000000009517281 Convert 39.1051 millennia to decades. 3910.51 How many millilitres are there in twenty-seven fifths of a litre? 5400 Convert 36.4238ug to kilograms. 0.0000000364238 What is 580876.8 hours in milliseconds? 2091156480000 Convert 11933.32mm to micrometers. 11933320 What is 956212.8 millennia in months? 11474553600 How many nanograms are there in eighteen fifths of a microgram? 3600 Convert 2.294523s to hours. 0.0006373675 Convert 10135193.04 milliseconds to weeks. 0.016757925 How many minutes are there in one ninth of a week? 1120 How many litres are there in 22.97561ml? 0.02297561 What is 1/5 of a litre in millilitres? 200 What is five eighths of a millennium in months? 7500 Convert 5.521473 months to millennia. 0.00046012275 How many months are there in seventeen quarters of a year? 51 Convert 8.323943 litres to millilitres. 8323.943 Convert 0.8945192ml to litres. 0.0008945192 How many millimeters are there in fifty-five halves of a centimeter? 275 What is 41/2 of a litre in millilitres? 20500 What is 257765.7 centimeters in millimeters? 2577657 What is 368.8394 weeks in hours? 61965.0192 What is 48/5 of a centimeter in micrometers? 96000 Convert 504344.1 kilograms to tonnes. 504.3441 What is 4/7 of a week in hours? 96 Convert 39.31404l to millilitres. 39314.04 How many nanograms are there in 3/5 of a microgram? 600 What is 21/5 of a gram in milligrams? 4200 How many litres are there in 361.9725ml? 0.3619725 How many weeks are there in 57501630.9 minutes? 5704.526875 What is 1/5 of a litre in millilitres? 200 How many millilitres are there in 43/4 of a litre? 10750 How many milligrams are there in twenty-five halves of a gram? 12500 Convert 268682.5 kilometers to meters. 268682500 What is 9/25 of a kilometer in centimeters? 36000 How many hours are there in 50/7 of a week? 1200 What is seven quarters of a gram in milligrams? 1750 Convert 1083.702ml to litres. 1.083702 What is seventy-three fifths of a litre in millilitres? 14600 What is thirty-seven fifths of a litre in millilitres? 7400 What is 53/5 of a kilogram in grams? 10600 What is fourty-five quarters of a microsecond in nanoseconds? 11250 How many months are there in 61/4 of a year? 183 How many weeks are there in 3.5109424 days? 0.5015632 Convert 4974.968ug to milligrams. 4.974968 What is 50614.26 milligrams in tonnes? 0.00005061426 How many millilitres are there in 0.8058652l? 805.8652 How many litres are there in 51410.57ml? 51.41057 How many millilitres are there in 11/2 of a litre? 5500 How many millilitres are there in 17/4 of a litre? 4250 What is 6172.083 months in years? 514.34025 What is 34207.96 centuries in millennia? 3420.796 What is 42/5 of a decade in years? 84 How many hours are there in 97411.23 days? 2337869.52 How many millilitres are there in 1/4 of a litre? 250 What is 3/7 of a week in days? 3 Convert 456668.9 kilograms to milligrams. 456668900000 How many millilitres are there in 0.0730987 litres? 73.0987 How many months are there in 6/5 of a century? 1440 Convert 481.982 centuries to months. 578378.4 What is one quarter of a centimeter in micrometers? 2500 What is 7.100766 weeks in days? 49.705362 How many millilitres are there in eleven quarters of a litre? 2750 How many litres are there in 488559.9ml? 488.5599 What is 3/40 of a milligram in micrograms? 75 How many kilograms are there in one twentieth of a tonne? 50 What is 74/5 of a second in milliseconds? 14800 What is 55.46111ng in micrograms? 0.05546111 How many millimeters are there in 3/25 of a meter? 120 How many millilitres are there in 27/4 of a litre? 6750 What is 2512.783ms in microseconds? 2512783 Convert 474241.7km to micrometers. 474241700000000 Convert 16.00428 nanograms to tonnes. 0.00000000000001600428 What is 70078.39 milligrams in kilograms? 0.07007839 What is nine tenths of a meter in centimeters? 90 What is 37044.49ug in milligrams? 37.04449 How many minutes are there in 3/16 of a week? 1890 How many kilometers are there in 23538.7cm? 0.235387 How many millennia are there in 29346.79 decades? 293.4679 Convert 0.7542517 millennia to months. 9051.0204 Convert 89395.32ml to litres. 89.39532 How many meters are there in 61/2 of a kilometer? 30500 How many millennia are there in 8552.911 centuries? 855.2911 What is nineteen quarters of a litre in millilitres? 4750 How many kilograms are there in 3/5 of a tonne? 600 Convert 4258.772 weeks to milliseconds. 2575705305600 Convert 8232.717 millimeters to meters. 8.232717 How many hours are there in 937.8912 weeks? 157565.7216 What is 17/7 of a week in minutes? 24480 What is eleven tenths of a meter in millimeters? 1100 How many nanometers are there in 1/16 of a millimeter? 62500 What is thirty-three tenths of a litre in millilitres? 3300 Convert 599.0542nm to kilometers. 0.0000000005990542 How many millilitres are there in 45/4 of a litre? 11250 Convert 89425.09 kilometers to centimeters. 8942509000 What is 6/5 of a century in decades? 12 Conv
{ "pile_set_name": "DM Mathematics" }
a + a)*(-2 + 2 + 1). 18*a Expand (0 - 2*r + 0)*(6*r + 3*r**3 - 6*r) + (-49*r**2 + 1208*r**3 + 267*r**3 + 49*r**2 - 312*r**3)*(-3*r + 2*r + 2*r). 1157*r**4 Expand (72*x**2 + 5*x + 1 - 139*x**2 + 63*x**2)*((3 + 0 - 1)*(-1 + 1 - x) + 0*x - x + 7*x). -16*x**3 + 20*x**2 + 4*x Expand (-2 + 0 + 5 + (-13 - 5 + 5)*(-2 + 8 - 29))*((0 + 3 - 1)*(3 + 0 - 1) + 2 - 2 - 2)*(-7*m**2 - 4*m**2 + 3*m**2). -4832*m**2 Expand (-m - 4*m + 3*m)*(-10 - 25*m + 27*m + 3). -4*m**2 + 14*m Expand 301*q - 3 - 618*q + 257*q + (-6 + 0 + 2)*(2*q - 4*q + 4*q). -68*q - 3 Expand (0 - 2 + 0)*(-21146*j - 3*j**4 + 21146*j + 3906*j**3). 6*j**4 - 7812*j**3 Expand (9 - 13 - 16)*(-23*w - 10*w + w) + (0 + 2 + 0)*(2*w - 2*w + 4*w). 648*w Expand (70*i**4 - 15*i**4 + 40*i**4)*(1322 - 1322 + 17*i). 1615*i**5 Expand (-3*r - 2*r + 4*r)*(47 - 12 - 22)*(-30*r**3 + 1110*r - 1110*r). 390*r**4 Expand (3 + 2 - 6)*(-17*u**2 + 17*u**2 - 10*u**3) + (-414 - 735 + 272)*(-u**3 + u**2 - u**2). 887*u**3 Expand (2*o**2 - 151 - 2*o**5 - 77 - o**3 - 169)*(-5 + 1 + 3 + (5 - 2 - 2)*(-3 - 1 + 3)). 4*o**5 + 2*o**3 - 4*o**2 + 794 Expand ((3*u + u - 2*u)*(-1 + 2 - 2) - 93*u + 50*u + 68*u)*(2 - 6 - 6). -230*u Expand (-4864*u + 2134*u + 2423*u)*(3*u**2 + 2*u**2 - 4*u**2)*(-5 + 5 + 3*u - 5*u + 2*u + u + (-5 + 5 + u)*(0 - 3 + 4)). -614*u**4 Expand (-v + 2*v**2 + v)*(299*v**3 - v**2 + 299*v**3 - 602*v**3) - 3*v**5 + 6*v**5 - 4*v**5 + 3*v**4. -9*v**5 + v**4 Expand (-227*m**2 + 15*m**5 + 227*m**2)*(-3 - 6 - 15). -360*m**5 Expand (2 + 3 + 2)*(-26*t**2 - 16*t**2 + 15*t**2). -189*t**2 Expand (z**4 + 0 + 0 + 5*z**4 - 4*z**4 + 0*z**4 + (2*z**3 + 0 + 0)*(2*z - 2 + 2) + 3*z**3 + z**4 - 3*z**3)*(-473 - 241 + 520)*(2 - 2 + 2)*(-5 + 11 + 3). -24444*z**4 Expand (4 - 20100*n - 25 + 16 + 5)*(0*n - 2*n + 0*n). 40200*n**2 Expand 24*z - 2*z**2 + 1 - 24 + 10 - 3*z**2 + 2*z**2 + 0*z**2 - 3*z**2 - 2*z**2 + 3*z**2 + (-2*z**2 - z + z)*(0 + 0 + 2) - 2*z**2 + z**2 - z**2. -11*z**2 + 24*z - 13 Expand (3*i**2 - 3*i**2 - 2*i**2)*(-37 + 40*i + 37)*(i - i - 2*i + (0*i + 3*i - 4*i)*(-3 - 1 + 5)) + 7*i**2 + 5*i**4 - 7*i**2. 245*i**4 Expand (-4 + 1 + 2)*(-6 + h + 6) - 2*h - 4*h + 4*h - 2*h + 4*h - h - 4*h - 214 + 214 + 4*h - 4*h + 3*h. -3*h Expand 4*w**2 - 3*w**2 + 0*w**2 + (2 + w**2 - 2)*(-2 + 1 + 2) - 2*w**2 + 5*w**2 - 2*w**2 - 254*w**2 - 240*w**2 + 202*w**2. -289*w**2 Expand (-2*w**2 + 0 + 0)*(-2*w**2 - 5567*w**3 + 2077*w**3 - 8356*w**3 + 2*w**2). 23692*w**5 Expand (-105*f**2 + 105*f**2 + 7*f**4)*(-10 - 3 + 4) + f**2 + 2*f**2 + 0*f**4 + 2*f**4. -61*f**4 + 3*f**2 Expand (4 - 1 - 5)*(4 + 1 - 6)*(z - z + z)*(5 + 1 - 10)*(-15*z**2 + 19*z**2 + 123*z**2). -1016*z**3 Expand (3 + 2 - 4)*(0 - 1 + 3)*(-1 + 6 + 1)*(-2 + 3 + 0)*(34 + 1 + 5)*(-2*r + 3*r - 2*r). -480*r Expand (61*t**3 + 33*t**3 - 2*t**3)*(6 - 12 - 1)*(-6*t + t + 4*t). 644*t**4 Expand (-c - 1 + 1)*(0*c - 4*c + 3*c) + 36791*c**2 + 28116*c**2 - 72172*c**2. -7264*c**2 Expand (g**2 + g**4 - g**2)*((1 + 2 - 1)*(-19*g + 18*g - 11*g) + (-4*g + g + g)*(-5 + 5 - 2) + (-3*g + 0*g + g)*(-4 - 5 + 4)). -10*g**5 Expand (180 + 27*s + 34*s + 34*s - 87*s)*(-3*s + 5*s**2 + 3*s). 40*s**3 + 900*s**2 Expand (-15*r - 30*r + 11*r)*(-8*r**2 - r**3 + 0*r**2 - 21*r**2). 34*r**4 + 986*r**3 Expand ((w**2 + w**2 - w**2)*(w + 0*w + w) + 2*w**3 + 0*w**3 - w**3 - 668*w**3 - 725*w**3 + 1553*w**3)*(3*w - 3*w - 2*w). -326*w**4 Expand (4 - 3 - 2)*(-x**2 + 3*x**2 + x**2) - 1424*x + 1424*x - 1453*x**2. -1456*x**2 Expand (-104 + 629 - 195 + 1075 - 19)*(3*b**4 + b**4 + 2*b**4). 8316*b**4 Expand (-8063 - 157*y**4 + 8063)*(1 - 23*y + 3*y + 9*y). 1727*y**5 - 157*y**4 Expand (4341*l**2 - 412*l**3 - 4341*l**2)*(4 - 3 + 3)*(3 - 2 - 3). 3296*l**3 Expand (-3223 - 4*r**2 + 64*r + 3223)*(r**3 + 2*r**2 - 5*r**2 + 0*r**3). -4*r**5 + 76*r**4 - 192*r**3 Expand (4*x**2 + 0*x**2 - 5*x**2)*(2*x**2 - 2*x**3 - 2*x**2) - 3*x**5 + 2*x**5 + 3*x**5 + (-2*x**2 - 2*x**4 + 2*x**2)*(-169*x - 147*x + 122*x). 392*x**5 Expand (422 - 846 + 425 + 181*o)*(91*o + 212*o**2 - 91*o). 38372*o**3 + 212*o**2 Expand (78 - 133 + 64)*(-w**2 - w**2 + 0*w**2) + 6*w**2 - 5*w**2 + w**2 + (-w + 4*w**2 + w)*(-1 + 0 + 3) + (w - w + 2*w)*(-2*w + 3*w + w). -4*w**2 Expand (-2 - 6 + 2)*(-34 + 34 + v**2) + (-1 - 1 + 1)*(0*v + 0*v + 3*v**2). -9*v**2 Expand (-37*s**2 - 18*s**2 + 11*s**2)*(5*s**3 - 3*s**3 - 3*s**3 + (-4*s**2 - s**2 + 6*s**2)*(0 + 2*s + 0)). -44*s**5 Expand 0*a**5 + 7*a**5 - a**5 + (22*a + 18*a + 10*a)*((a**4 - a**4 + a**4)*(0 + 1 - 2) - 3*a**3 + 5*a**4 + 3*a**3). 206*a**5 Expand (-9 + 10 - 4*k + 3)*(1 + 121*k - k**2 - 130*k + 27*k). 4*k**3 - 76*k**2 + 68*k + 4 Expand (-10 - 6 + 3)*(1 + 1 - 1)*(-251 - 13*i**5 + 251). 169*i**5 Expand (91*z - 59*z + 225*z + 4*z)*(5*z + 6*z - 3*z). 2088*z**2 Expand (4*i**2 - i**2 - 2*i**2 + (i - 2 + 2)*(-18*i - 10*i + 3*i))*(6*i + 4*i - 4*i + (-3*i + 4*i + i)*(-5 + 4 + 0)) + 3*i**3 + 4*i**3 + 4*i**3. -85*i**3 Expand -169*k**5 + 709 - 709 + 9*k**5 + 87*k**4 - 87*k**4 + (-5*k**5 + k**5 + 6*k**5)*(1 + 0 + 1) + 2*k**5 + 1 - 1. -154*k**5 Expand (-389 - 153 + 26)*(-d + 0*d - 11*d). 6192*d Expand (0 - 3 - 1)*((1 + p - 1)*(3 - 3 + 1) + (3 - 2 - 4)*(3*p - 4*p - 2*p) + 2*p - 1 + 1 + 19*p - 12*p + 15*p - 3 - 2*p + 3). -128*p Expand (2*q**2 - 2*q**2 + 3*q**5)*(0 + 0 - 1 + (1 + 2 - 2)*(176 + 43 - 35)). 549*q**5 Expand 1590*y**3 - 623*y**3 + 140*y**3 + 1068*y**3 + 147*y**3 - 4*y**3 - 2*y**3 + 4*y**3 + (-y + 2*y**2 + y)*(2*y + 4*y - 4*y). 2324*y**3 Expand (1 + 363*a - 7*a**2 - 363*a)*(56 + 46 + 149). -1757*a**2 + 251 Expand -73 + 120 - 10666*k**4 - 6626*k**4 - 47 - 2*k**4 + 4*k**4 - 3*k**4 + (2*k + 0*k - 4*k)*(-k**2 + k**2 - 2*k**3). -17289*k**4 Expand (-81*y - 48*y - 66*y - y + 2*y + 0*y + (-3 - 3 + 4)*(-3*y + 2*y - y) + 3*y + 0*y - 2*y)*(15*y + 38*y + 25*y - 5*y). -13797*y**2 Expand (-4 + 4 - 2*f)*(-6*f - 11*f + 4*f) + (f - 2*f + 3*f)*(5 - 5 + 2*f) + 11*f**2 - f**2 + 0*f**2. 40*f**2 Expand (5*u**2 - 24*u**2 - u**2)*(u + 3 - 3) - 566*u + 566*u + 29*u**3. 9*u**3 Expand (5*y**4 - 59*y**4 - 120*y**4)*(-3*y + 5 + 3 - 9). 522*y**5 + 174*y**4 Expand -223*s**3 + 188*s**3 - 130*s**3 + (28 + 7*s**2 - 28)*(-s - 2*s + 6*s). -144*s**3 Expand (11*w + 15 - 15)*(-162*w**4 + 36*w**4 - 66*w**4)*(0 - 4 + 2). 4224*w**5 Expand (-6*u**4 - 9*u**4 + u**4 + (1 - 1 - 2*u)*(6*u**2 - 6*u**2 - 3*u**3))*(0 - 3*u + 23*u - 1). -160*u**5 + 8*u**4 Expand 2*f**2 + 0*f - 3*f + 5*f + (365*f + 414*f - 783*f - 514)*(-f - 3*f + 2*f). 10*f**2 + 1030*f Expand (h + 0 + 0 + (1 - h - 1)*(2 + 1 - 1) + 37*h - 4513 + 4513)*(-1 + 6 - 2). 108*h Expand (-3*t + 6*t + 0*t)*(-7 - 2 + 4)*(-3*t - 3*t + 4*t)*(-4*t**2 - t**2 + t**2). -120*t**4 Expand (2*z**5 - z**5 + 0*z**5)*(-1 - 3 + 2) + 5362*z**5 - 319442*z**2 + 319442*z**2. 5360*z**5 Expand (-219*b**4 + 275*b**4 + 275*b**4)*(15 + 4*b - 15). 1324*b**5 Expand -a + 8*a + 8*a + (-2*a - 5*a + 2*a)*(0 + 0 - 1) + 1 - 2*a - 1 - 2 + 2*a + 2 + (4*a + 2*a - 5*a)*(-2 + 3 - 2) - 14 + 14 + 5*a. 24*a Expand (-3*t**3 + t**3 + 7*t**3 + (0*t + 0*t - 2*t**2)*(2*t - 4*t + 4*t))*((3*t - 4*t - 3*t)*(-1 - 3 - 1)*(2*t - t - 4*t) + 2*t**2 + 4 - 4). -58*t**5 Expand (13*u + 4*u - 1 - 10*u + 3*u**3)*(-29*u - 12 + 12). -87*u**4 - 203*u**2 + 29*u Expand -7*n**3 + 7*n**3 - 2*n - n**5 + (-5*n**2 + 6*n**2 + 0*n**2)*(-85*n**3 + 46*n**3 + 41*n**3). n**5 - 2*n Expand (0 + 1 - 2)*((-j - j + 0*j)*(0 - 4 + 2) - j - 2*j + 2*j + (-4 + 4 + 11)*(-221*j + 3 - 3)*(4 + 0 - 1)). 7290*j Expand 2*j**2 + 0 + 0 + 4 + j**2 - 4 + (1 - 2 + 3)*(0*j**2 + 3*j**2 - 4*j**2) - 202*j**2 + 111 - 111. -201*j**2 Expand (j + 0*j + j)*(-2 + 3 - 2)*(-3*j**2 - 7*j**2 + 26*j**2) + 10*j**3 + 9*j**3 - 9*j**3. -22*j**3 Expand (d + d - 4*d + (-1 - 1 - 1)*(3*d - 2*d + 0*d) + 8*d - 16*d - 17*d)*(-2*d**2 + 2*d**2 - d**2)*(4*d**2 - 2*d**2 - 3*d**2). -30*d**5 Expand ((-2*k - 2 + 2)*(-1 + 1 + 2) + 3*k - 2*k + k)*(920 + 162 - 153). -1858*k Expand (70*p**2 + 95*p**2 - 171*p**2 - 2*p - 105)*((-5 + 1 - 11)*(1 + 2*p - 1) + (-4 + 3 + 2)*(-3*p + 0*p + 4*p) - 1 + 1 - 2*p). 186*p**3 + 62*p**2 + 3255*p Expand (2*d - 5*d + 2*d)*(3*d - d - 3*d) - 6*d**2 - 8*d**2 - 7*d**2 + 2 - 2 - d**2 + (-7 + 11 - 2)*(0*d + 0*d - 2*d**2). -25*d**2 Expand 160*k**3 + 4*k**2 + 19*k - 2*k**2 - 162*k**3 + 7*k**3 + k - k + (-5*k - 6*k**2 + 5*k)*(-4*k + 5*k + 2*k). -13*k**3 + 2*k**2 + 19*k Expand (-2*u + u + 3*u)*(0*u + 0*u - u - 3) + (-4*u - 3*u + 5*u)*(4 + 1 - 6)*(-439*
{ "pile_set_name": "DM Mathematics" }
Suppose -9*j + 7*j - 2*y + 24 = 0, j = -5*y. Let t be (-1 - -3)/(15/j). Solve -2*c + 4*c = -t for c. -1 Let u(h) = -2*h**2 - 110*h - 739. Let c be u(-8). Solve 41 = -c*y - 11 for y. -4 Let f be (-1)/(-2) + (-511)/(-14). Suppose 0 = 4*o + 2*g + 132 + 10, -5*o + g - 167 = 0. Let c = f + o. Solve -c*u = 4 - 1 for u. -1 Let r(t) = -t**2 + 50*t - 532. Let z be r(34). Solve 0 = -27*n + 23*n - z for n. -3 Let z be 1780/45 - ((-8)/(-20) + (-38)/45). Solve 484 = -z*n + 284 for n. -5 Suppose 0 = 6*m - 4*m - 6. Let o be 3 + 1 + (12 - -2). Let d be (4 - o/4)*0. Solve 8*g - m*g - 20 = d for g. 4 Suppose 19*f - 3 = 18*f. Suppose -2*b = -f*b + 2. Suppose 5*i - b*i = 45. Solve -5*q + 5 = -i for q. 4 Let d(l) = 33*l - 3*l**3 + 7*l**3 - 3*l**3 - 112 - 28*l**2. Let b be d(27). Solve -9*k - b = k for k. -5 Let l(j) = 3*j**2 - 20*j + 34. Let s be l(5). Solve 11*i = -s*i for i. 0 Let k = -3258 + 4117. Solve -4*c - k = -863 for c. 1 Let u(f) = -f**3 + f**2 + 10. Let s be u(0). Let h be ((-110)/(-25))/(4/s). Suppose -h*n = -9*n - 26. Solve -2 = -3*b + n for b. 5 Let w = -7 + 9. Let g(v) = v**3 - 7*v**2 + 6*v - 42. Let n = -110 + 117. Let m be g(n). Solve m = w*l + l + 9 for l. -3 Let q be (29 - 25)*((-21)/(-2))/3. Solve q*z + 4*z = -72 for z. -4 Let z(r) = -2*r**3 + 11*r**2 + 3*r - 24. Let y be z(5). Suppose 7*q - 5 - y = 0. Solve q*i + 7 - 13 = 0 for i. 2 Suppose 0 = -2*p + 2*p + 4*p. Let c = -847 - -591. Let l be c/(-20) - (-12)/(-15). Solve -s + 4*s - l = p for s. 4 Suppose -8*a = -464 + 1760. Let x = 172 + a. Solve 0 = -4*l - 2 - x for l. -3 Let n = -10 + 16. Let m be 17 - 9/n*2. Let i be (-12)/15*(-35)/m. Solve 1 = -p + i for p. 1 Let k be (-930)/(-70) - (-4)/(-14). Suppose k = -4*l + 21. Solve l = -4*x + 6 for x. 1 Let m be -9 + -4 - -26 - 1. Solve -m*q = 16*q + 28 for q. -1 Let l(z) = -489*z + 1976. Let c be l(4). Solve -13 - 67 = c*q for q. -4 Suppose -82 = -56*z + 55*z. Suppose -29 = z*f - 83*f. Solve t = -27 + f for t. 2 Let x be (6/8)/(-8*(-11)/704). Solve 16*s - x - 42 = 0 for s. 3 Suppose 0 = -5*u + u + 8. Let l(h) = 45*h + 5. Let b be l(1). Let n be (80/(-4))/(b/(-20)). Solve u*s = 4*s + n for s. -4 Let v(k) = 5*k - 18. Let n be v(6). Let i be (-2)/(-3) - 8/n. Let h(z) = z**2 - 6*z - 11. Let g be h(9). Solve 4*y = -i*y + g for y. 4 Suppose 0 = 2*v - 5 - 5. Suppose 4*j - h - 236 = 0, -h = 2*j + 4*h - 96. Let g = j + -55. Solve -g*m - 4 = v for m. -3 Suppose -d - 4*m + 2 = -3, -4*d - 2*m = -34. Let q be (6/d)/(4/60). Suppose 3*f - f - q = 0, -3*f + 10 = -5*j. Solve j = a + 4 for a. -3 Let z = -8473 - -8538. Solve 0 = -12*p - z - 31 for p. -8 Let h be (9 + 1011/(-18) + -4)*-6. Solve 11 = h*t - 318*t for t. -1 Suppose 22 = -127*s + 129*s + 3*k, -4*k = -s - 11. Solve s + 7 = -3*h for h. -4 Suppose 5*p = -8*p + 2730. Suppose 3*k - 4*n = p, 0*k - 318 = -5*k - 4*n. Let d = 66 - k. Solve w + 2 = -d for w. -2 Let q(a) = 17*a - 53. Let c be q(5). Suppose -3*m = -4*g - c - 30, 5*g + 25 = 0. Let z be (46/60 - m/84)*15. Solve -z*s = -5*s for s. 0 Let h = -128504 + 128508. Suppose 0 = -2*t + k + 32, k = -3*t + 2*k + 50. Solve -h*b - 2 + t = 0 for b. 4 Let z(k) = 43*k - 750. Let r be z(20). Solve -86*x - 48 = -r*x for x. 2 Let h = 1033 + 102. Let b be h/75 + (-2)/15. Let a(i) = 5*i**3 + 2*i**2 - i - 2. Let p be a(1). Solve x = -p*x + b for x. 3 Suppose 0 = 5*k + 3*r - 30, 491*k + r - 10 = 492*k. Suppose -2*o = -5*l + 44, -5 - 51 = -5*l - 2*o. Solve k = -l*m + 13*m + 15 for m. -5 Let d(u) = u**2 - 17*u - 48. Let r be 3/(-6) - (35/(-2) + -3). Let q be d(r). Solve -11*g = -q*g for g. 0 Let s = -2892 - -2912. Solve -19*g + s*g + 1 = 0 for g. -1 Suppose -3 = -5*o + 12. Let d be (-1)/o*(-660)/44. Solve d*b - 12 = 9*b for b. -3 Let h(x) be the third derivative of x**4/6 - 15*x**3/2 - 4*x**2. Let t be h(15). Suppose -9*d = -t*d + 12. Solve -d*a - 2 = -a for a. -2 Suppose 5*s + 426 = -0*p - p, 0 = 4*p - 3*s + 1612. Let f = -389 - p. Solve -5 + f = 4*d for d. 3 Let f be 1*(3 - 7)*-2. Suppose -f*z = -9*z + 6. Solve 4*j - 10 = z*j for j. -5 Suppose 0 = -5*k + 5*c + 165, 1722*k + 4*c = 1727*k - 164. Solve -k = 16*d - 64 for d. 2 Let z(r) = 3*r**2 - 2*r + 4. Let d be (-5 - -4)*0*1. Let y be z(d). Suppose 8 + y = 4*n. Solve n = 4*g + 7 for g. -1 Suppose 7*u + 2 = 2*u - 3*v, -2*v = -u + 10. Suppose -3*f - u*h = -0*h - 1, 0 = -4*f - 3*h. Suppose -2 = f*l - 4*l. Solve l*d - d = -1 for d. -1 Let f = -612 + 612. Suppose 0 = b - 2*h + 4, 0 = 3*b - 4*h - f + 2. Solve b = -3*d + 12 for d. 2 Suppose 5*r + 65*r - 6370 = 0. Solve -19*i + r = 15 for i. 4 Let v be 2/7 + (-669)/(-42)*4. Suppose -15*l - 4 = -v. Solve 2 = l*w - 10 for w. 3 Let w(y) = -4*y**3 - 28*y**2 - 29*y - 41 - 3*y**3 + 11*y**3 - 5*y**3. Let a be w(-27). Solve -5*v + a*v = -16 for v. -2 Let h(p) = p**2 - 22*p - 9. Let u be h(23). Let i = 3 + 0. Suppose 0 = -3*c + 5*g - 2 + 32, 5*c - 3*g - 34 = 0. Solve -u + c = i*x for x. -3 Suppose -30*h = -104*h - 1 + 1. Solve 105 = 15*n - h for n. 7 Let g be ((-4)/5)/(18/45). Let j(h) = 2*h**2 - 6*h - 4. Let c be j(g). Let q(d) = -4*d + 66. Let z be q(c). Solve k = z*k for k. 0 Let f(r) = 12*r**2 - 26*r - 25. Let b be f(-1). Solve b*q = 259 - 285 for q. -2 Suppose -4*v - j = -29, -6*v + 27 = -2*v - j. Solve -343 + 364 = v*d for d. 3 Let k(l) = -l**2 - 3*l - 2. Let m be k(-2). Let t(y) = 6*y - 74. Let c be -3 + 9/6*170/15. Let u be t(c). Solve m*b = 2*b - u for b. 5 Let v(l) = l**3 + 5*l**2 - 127*l + 19. Let r be v(-14). Solve 9 = -7*h - r for h. -6 Let r(x) = x**2 - 35*x + 272. Let w be r(26). Solve w*y - 12 = 44*y for y. -2 Let r = 503 - 409. Suppose r + 27 = 11*t. Solve -g + 14 = t for g. 3 Let w(s) = -1412*s + 4253. Let y be w(3). Let t = 15 + -8. Solve y = -t*c - 4 for c. -3 Let c(p) = p**3 + 5*p**2 + 10*p + 14. Suppose 4*u + 3*z = u - 15, 0 = 2*u + 3*z + 12. Let t be c(u). Solve -t = -v - 0 for v. 2 Let b = 41 + -31. Let t be (-550)/(-88) - b/8. Solve t*d = -0*d + 15 for d. 3 Let n be 205 + -167 - (0 + (16 - 3)). Suppose 2*i - 4*y - 4 = -2, 0 = -4*y + 8. Let m be (-96)/(-10) - (-4)/10. Solve -m*a = -i*a - n for a. 5 Let s(d) be the first derivative of d**4/4 + 8*d**3/3 + d**2/2 + 9*d + 19. Let l be s(-8). Solve 0 = -3*x + l - 16 for x. -5 Let y = -74 - -34. Let i = y - -40. Let k be 48/6 - (i - 2)/(-2). Solve 18 = -5*q - k for q. -5 Suppose 124*i + 24*i - 15680 = -342*i. Solve 0 = 16*w - i*w - 112 for w. -7 Let l(r) = 9*r**2 - 8*r + 15*r + 6 + r**3 - 5 - 4*r - 32. Let v be l(-7). Solve 0 = 2*y + 56 - v for y. -5 Let r = -728 - -732. Let u = -9 + 14. Solve -r = -7*v + u*v for v. 2 Let w be ((-833)/(-34) - 24)*(1 + 19). Let h = 65 + -57. Solve h*q - 10 = w*q for q. -5 Let l = -24 - -19. Let a(s) be the third derivative of -s**4/8 - 5*s**3/2 - 24*s**2. Let z be a(l). Solve z = 5*h + 5 + 5 for h. -2 Let s be 2/15 + 292/60. Suppose 0 = 3*c + w + 15, -3*c + 0*c - 27 = s*w. Let r be -1*(-2)/c - (-26)/4. Solve 0 = 2*z + 2 - r for z. 2 Let s(y) = y**3 - 2*y**3 - 7*y + 10 - 7*y**2 + 2*y**3. Let i be s(8). Let j(t) = -14*t + 86. Let a be j(6). Solve -4*z + a = -i for z. 5 Let i(d) = -7*d - 36. Let o be i(0). Let l be (-243)/o - 3/(-12). Solve -5*a - 3 = l for a. -2 Suppose -4*l + 1232 = 5*f, 5*f = 17*l - 4*l - 4089. Solve l*o = 305*o for o. 0 Suppose 5*r = -4*b - 293 - 94, 0 = -3*r - 2*b - 231. Let d be (5 + r/12)/((-1)/4). Suppose 2*c + 18 = d*c. Solve 2*n + c - 4 = 0 for n. -1 Let h be 32/(-2) + -6 + 7. Let s be 2/h + 423/135. Solve 7 = -s*b + 4 for b. -1 Suppose 0*k - 7*k = 483. Let a = k - -82. Suppose -a*x = -11*x - 8. Solve x*y + 9 = -7 for y. -4 Let z(n) = 7*n + 16. Let g(b) = -3*b - 8. Let h(y) = 7*g(y) + 4*z(y). Let p(s) = s**2 - 685*s - 687. Let u be p(-1). Let t be h(u). Solve -t + 13 = 3*f for f. 4 Let r(y) = -1878*y + 11276. Let o be r(6). Suppose -15 = 4*q + 9. Let z = q + 8. Solve z*s + 2 - o = 0 for s. 3 Let z(g) = g**3 + 5*g**2 - 5*g + 16. Let i be z(-6). Let f(q) = -q**3 + 11*q**2 - 4*q - 60. Let d be f(i). Solve d*o - 3 = o for o. -3 Suppose -110*d - 44*d = -12936. Solve -21*o = 7*o + d for o. -3 Suppose -11*m + 236 + 193 = 0. Suppose 16*g + 7 = m. Solve -g*c + 4*c = -3*c for c. 0 Let d(z) = 35*z - 30*z + 17*z + 33*z + 3. Let f be d(1). Let u = -54 + f. Solve -3 = -u*x + 1 for x. 1 Let v(a) = -a**2 - 74*a - 1318. Let x be v(-39). Solve -129 = 88*b + x for b. -2 Suppose -k -
{ "pile_set_name": "DM Mathematics" }
termine n(s). 8 Let r(b) be the second derivative of -b**3/3 - 25*b**2/2 + 3*b - 23. Let k(f) = -f**3 - 10*f**2 + 12*f - 5. Let w be k(-11). Determine r(w). 7 Suppose -38 = -6*p + 88. Suppose 33 = -6*c + p. Let o(f) = -6*f**2 - 3*f - 2. Give o(c). -20 Let c(j) = -3*j**2 + j + 3. Suppose -7 = -2*w + m, 0 = 3*w + 6*m - 4*m. Calculate c(w). -7 Let j(w) = -9*w**2 - 1. Let l be (-12)/48*(208/(-24) + (-4)/(-6)). What is j(l)? -37 Let q(y) = -78*y + 0*y**2 - 3*y**2 + 66*y - 6 + 35*y. Determine q(7). 8 Let d(a) = 11*a**3 - 11*a**2 + 32*a - 18. Let s(h) = -7*h**3 + 8*h**2 - 21*h + 12. Let q(z) = 5*d(z) + 8*s(z). Suppose -x - 4*x = -40. What is q(x)? 6 Suppose 2*j = 5*b, 3*b = b - 2*j - 14. Let t = b - -4. Let u(i) = 11*i**2 + i**2 - 2*i**t + i**2. Determine u(-1). 11 Let t(f) = -f + 51. Let u(x) = 2*x - 144. Let s(m) = -8*t(m) - 3*u(m). Determine s(-15). -6 Let n(x) = -21375869*x + 13*x**2 + 19 + 21375909*x + x**3 + 27*x**2. Give n(-39). -20 Let t(f) = 4985*f**2 - 2465*f**2 - 2489*f**2. Determine t(1). 31 Let l(c) = -7 + 3*c + 19 - 2*c. Suppose 120 = 9*v - 3*v. Let n be (1 - 51/6)*v/25. What is l(n)? 6 Suppose 3*b - 4*b = -2*x - 122, 4*x = -3*b + 376. Let i = 120 - b. Let s(l) = -3*l + l - 1 - 2. Determine s(i). 5 Let g(p) = 125*p - 44*p - 37*p - 27*p - 96 + 571. What is g(-28)? -1 Let z(c) = 109 + 70*c + 101*c - 177*c. Give z(18). 1 Let y(h) = -6*h**3 + h**2 - h. Let p = -6510 + 6515. Let c = -2 - -4. Suppose 2*q - l - 7 = 0, 0 = -p*q + c*l + 12 + 3. Calculate y(q). -6 Let z(f) be the first derivative of f**2 - 2*f - 37 - 1/3*f**3. What is z(3)? -5 Let s be ((-63)/14)/((-57)/152) - 10. Let i(n) = -n**3 + n**2 - 32*n + 65. What is i(s)? -3 Let z(h) = -h**3 - 4*h**2 + h - 2. Let w be ((-10545)/(-18))/5 - 10/60. Suppose -23*a + 25 = w. Calculate z(a). -6 Suppose z + 4 = -5*k + 3*k, -4*z - 17 = 9*k. Let l(g) = 3 - 3*g**2 - g + 5 - 15 + 8. Give l(z). -9 Suppose 7*g - 22 = -22. Suppose -6*m + 54 - 36 = g. Let t(k) = -23*k**2 + 25*k**2 - 2 + 3 + k**m + 2*k + 0. Determine t(-3). -14 Let x(d) = -24*d + 22*d - 2*d + d**2 - 5. Let a be x(6). Let z(l) = l**3 - 7*l**2 - 8. What is z(a)? -8 Let m(a) be the first derivative of -1/3*a**3 + 101 + 3*a + 1/4*a**4 - 2*a**2. Give m(2). -1 Let f(b) = -2*b**2 - 56*b + 64. Let p be f(-29). Suppose 2*i - 26 = -2*w, -2*i + w + p = -w. Let q(v) = 2*v - 7. Calculate q(i). 9 Let n(c) = -5*c + 2. Let l(v) = -4*v + 2. Let z(w) = 6*l(w) - 5*n(w). Let p(i) = -14*i**2 - 3*i**2 - 46 + 16*i - 4 - i**3 + 9. Let t be p(-18). What is z(t)? -3 Let t(i) = 7*i**2 + 11*i + 2. Let x(r) = -2*r**2 - 3*r. Let g(c) = t(c) + 4*x(c). What is g(3)? -10 Let z(g) = g**3 + g**2 - 2*g + 2. Let d(m) = 2*m**2 + 9*m - 15. Let s be d(3). Let y be 3 + (-162)/s + (-6)/10. What is z(y)? -10 Let j(r) be the second derivative of 2*r**3 + 13/12*r**4 + 2 + 36*r - 2*r**2 + 1/20*r**5. Determine j(-12). -4 Let d(y) = y**3 - 41*y**2 + 4*y - 172. Let b be 7 + (-559)/(-13) + (-3 - 6). Calculate d(b). -8 Let l(y) = 4*y**3 - 43*y**2 - 12*y + 25. Let p(w) = w**3 - 10*w**2 - 3*w + 6. Let v be -9*6/18*1*3. Let u(x) = v*p(x) + 2*l(x). What is u(3)? 14 Let q(d) = d**2 + 3*d - 11. Let w(p) be the first derivative of -p**3/3 + p**2/2 + p - 97. Let u(l) = q(l) + 2*w(l). Give u(6). -15 Let x(q) = 26 - 16 - 14*q**3 + q - 9 + 4*q**3. Suppose p = 179 - 180. Determine x(p). 10 Let b(v) be the third derivative of v**8/10080 + v**7/720 + v**6/360 + 14*v**5/15 + 75*v**2. Let w(h) be the third derivative of b(h). Calculate w(-3). -1 Let l = 407 + -415. Let z(x) = x**2 - 61. Let i be z(l). Let m(h) = 2*h**2 - 7. What is m(i)? 11 Let u(q) = -q - 13. Let t(p) = p**3 + p**2 + p + 156. Let v be t(0). Let m = -167 + v. Give u(m). -2 Let o be (3 + -2)/(3*4/(-84)). Let g(y) = -y**3 - 7*y**2 - y + 3. Let w be g(o). Suppose -w*b + 9*b + 11 = 0. Let d(q) = q**2 - 12*q + 3. What is d(b)? -8 Let c(i) = -i**2 + 14. Suppose -24*j + 995 = 1067. Give c(j). 5 Let g(b) = 5*b**3 + 52*b**2 + 100*b - 97. Let c(o) = -13*o**3 - 106*o**2 - 199*o + 192. Let q(k) = 2*c(k) + 5*g(k). Calculate q(50). -1 Suppose 7*l + 90 = 62. Let i(k) = 2*k**2 + 6*k + 4. What is i(l)? 12 Let u be 7 - 8*60/96. Let j(t) be the second derivative of 0 + 13*t - 2*t**u + 1/6*t**3. Give j(-5). -9 Let u(k) be the first derivative of k**4/4 - 2*k**3 - 3*k**2/2 - 33*k + 4. Give u(7). -5 Let b(l) be the second derivative of 6*l**2 - 5*l + 0 + 1/6*l**3. Calculate b(-12). 0 Let g(u) = -u**3 + 8*u**2 + u. Let j(s) = 2*s**2 - 117*s + 66. Let p be j(58). Determine g(p). 8 Let i(u) be the third derivative of -5/24*u**4 + 1/10*u**5 + 248*u**2 + 0*u + 0 - 1/120*u**6 - 2/3*u**3. Determine i(4). 8 Let q be (136 - 122) + 20/(-1). Let g(a) = 44*a + 260. Calculate g(q). -4 Let a(s) be the second derivative of -s**4/12 - 3*s**3 - 51*s**2/2 - 4917*s. Give a(-14). 5 Let i(y) be the second derivative of -7*y**4/6 + 5*y**3/6 - y**2 - y - 19. Calculate i(1). -11 Let o(h) = -623*h - 669. Let j(v) = -221*v - 223. Let x(k) = 17*j(k) - 6*o(k). Give x(12). -5 Let q = 11661 - 11639. Let o(y) = y**3 - 22*y**2 - 2*y - 23. Calculate o(q). -67 Let u(i) be the first derivative of -i**2 + 8*i + 149. Let s(p) = -4*p + 15. Suppose -d - 4 - 7 = 0. Let c(g) = d*u(g) + 6*s(g). Calculate c(7). -12 Let j(k) = k**3 - 4*k**2 + k - 2. Let w be j(4). Let y(p) be the first derivative of -p**2/2 + 4*p - 2852. Calculate y(w). 2 Let j(y) = y**3 - 15*y**2 + 9*y + 7. Suppose 0*m + 37*m - 3*m - 476 = 0. What is j(m)? -63 Suppose -5*l - 18 = -2*r, 6*r + 2*l + 11 = 31. Let a(o) be the third derivative of -5/6*o**3 - 1/24*o**r + 0*o + 17*o**2 + 0. Calculate a(0). -5 Let h(s) = 7*s + 1. Let u(w) = -8*w - 1. Let d(a) = -5*h(a) - 4*u(a). Suppose -49*r + 52*r - 5*c = -2, -5*r + 2*c = -3. Calculate d(r). -4 Let w(q) = -q - 4. Suppose 2*a = -6*a - 80. Let o be (-46)/a + 9/((-90)/(-4)). Suppose 4*i = 2*h + o*i + 14, -5*h = -4*i + 22. Give w(h). 2 Let a(u) = 1307690*u**2 - 3*u**3 + 2*u**3 - 1307680*u**2 - 3*u - 1 + 2*u. Give a(10). -11 Let h(k) = 46*k - 14*k - 31*k + 5. Let w(g) = 1. Let q(s) = h(s) - 4*w(s). Determine q(-11). -10 Let h be (-9)/(-27) - (-1 + 1358/6). Let y be (-2)/8 + h/(-36). Let f be ((-6)/(-2))/(y/8). Let c(q) = -6*q + 6. Calculate c(f). -18 Let n be 7 - (2 - 0 - 1). Let l(v) = -31*v - 5. Let t(d) = -13*d - 6. Let z(o) = l(o) - 2*t(o). Determine z(n). -23 Suppose 0 = 521*h - 654*h + 665. Let j(m) = m. Let q(t) = -7*t - 3. Let u(o) = 5*j(o) + q(o). What is u(h)? -13 Suppose -19 = 2*r + 7*u, 0 = -5*u + 7 - 32. Let l(d) = d**3 - 7*d**2 - 8*d + 4. Determine l(r). 4 Suppose -90 = -5*v - 13*v. Let u(g) = 2*g**3 - g**3 - 6*g + 16 - v*g**2 - 10. Calculate u(6). 6 Let v = 8 + -6. Let a = -813 - -817. Let s(t) = t + 5*t + a*t**2 - 7 + 4 - 3*t. Give s(v). 19 Let k(f) = 4*f - 2. Let z(s) = -38*s - 1. Let t(h) = -h - 8. Let g be t(-9). Let y be z(g). Let w = y + 41. Determine k(w). 6 Let o(p) be the second derivative of -p + 0 - 5/3*p**3 + 5/2*p**2 + 1/12*p**4. Calculate o(10). 5 Let b(u) be the first derivative of u**3/3 - 3*u**2/2 - 16*u - 6186. Determine b(9). 38 Let f(p) = p**2 + 11*p + 1. Suppose 0 = -4*h - 2*z + 10 + 4, -4 = -2*h - 2*z. Let k be (3 - h) + (-11 - 6/(-2)). What is f(k)? -9 Suppose 7*g + 11 - 39 = 0. Suppose 4*b + 2*s + 38 = 0, 4*b - 6*b + g*s = -6. Let r(n) = n**2 + 9*n - 4. Give r(b). -18 Let n(r) = -4*r**2 - 5*r - 9. Let p(b) = 2*b**2 + 3*b + 5. Let l(o) = -6*n(o) - 11*p(o). Determine l(3). 8 Suppose 0 = 3*d + 5*s - 4, -5*d - 29 + 11 = -4*s. Let a(x) = -9*x + 619. Let h(z) = -9*z + 774. Let q(v) = 5*a(v) - 4*h(v). Determine q(d). 17 Let s be 456/(-1064) - (-230)/14. Let a(t) = t**3 - 17*t**2 + 17*t - 19. Give a(s). -3 Let i(d) = -6*d - 32. Let b(q) = 26*q**2 + 73*q - 7. Let y be b(-3). What is i(y)? -80 Let c(q) = 2*q - 16. Let u(v) = -v**2 + 56*v - 304. Let i be u(50). What is c(i)? -24 Let u(n) = 13*n + 7. Let m be u(8). Let w be (-380)/(-7) + m/(-21) + 5. Suppose 0 = y - 7*y - w. Let j(c) = c**2 + 8*c - 2. Give j(y). 7 Let k(b) = b**3 - 15*b**2 + 4*b - 27. Suppose -5*g + 4*a + 238 = 167, -2*a = 2*g - 32. Calculate k(g). 33 Let p(i) = 33*i - 1 + i**2 - 17*i - 22*i. Let d be ((-210)/45)/((-14)/18). Give p(d). -1 Let o(x) = 13*x**3 + 4*x**2 - x + 9. Let v(j) = -7*j**3 - j**2 - 2*j - 1. Let r(z) = o(z) + 2*v(z). Determine r(3). -17 Let q(y) be the third derivative of -92*
{ "pile_set_name": "DM Mathematics" }
-42*d*p**2 + 60*p**2 + 12 What is the third derivative of 4*v**5 - 202*v**3 + 1004*v**2? 240*v**2 - 1212 What is the second derivative of f**2*o**2*r**2*z + 3*f**2*o*r**2*z - f**2*r**3 + f*o*r + f*r**3 - 3*o**2*r**3*z - 2*o*r**3*z wrt o? 2*f**2*r**2*z - 6*r**3*z Differentiate 20*n*o + 10*n + 6993*o wrt n. 20*o + 10 Find the third derivative of -6148*j**4 + j**2 - 9574*j wrt j. -147552*j Find the third derivative of 265*o**5 + 2*o**2 - 104*o wrt o. 15900*o**2 What is the derivative of 336*r**4 + 339? 1344*r**3 What is the derivative of 92*v**2*x + 84*v**2 wrt x? 92*v**2 Find the third derivative of l**2*m*w**3 - 2*l**2*m + 22*l**2*w**2 - l*m - 45*l*w**3 + l*w**2 + 25*m*w**3 + 3*m wrt w. 6*l**2*m - 270*l + 150*m What is the third derivative of 127*a*q**4 - 9*a*q**3 - a*q**2 - 2*a*q + 13*a - 2*q**4 - 10 wrt q? 3048*a*q - 54*a - 48*q Find the second derivative of -323*l**4 - 2*l**3 - 4*l**2*x - 2*l*x + 1159*l + x wrt l. -3876*l**2 - 12*l - 8*x Find the third derivative of 6*k**3*l**2*q + 7*k**3*q**3 - 6*k**2*l*q**3 - 3*k*l**2*q - 2*l**2*q**3 wrt k. 36*l**2*q + 42*q**3 Find the third derivative of -10*i**4 + 32*i**3 + 21*i**2 - 4. -240*i + 192 Find the third derivative of -11*j**2*v**5 - 4*j**2 + 15*j*v**5 + 66*j*v**2 wrt v. -660*j**2*v**2 + 900*j*v**2 Differentiate 179*g**3*j - 28*g**3 + g**2*j**2 - 5*g**2 + 2*j**4 with respect to j. 179*g**3 + 2*g**2*j + 8*j**3 Find the third derivative of -n**5 - 4*n**4 + 71*n**3 - 109*n**2 - 18*n wrt n. -60*n**2 - 96*n + 426 What is the second derivative of 21*j**5 - 73*j**2 + 3924*j wrt j? 420*j**3 - 146 Differentiate 1733*d**2 + 10121 wrt d. 3466*d What is the third derivative of 120*b**6 - 232*b**2? 14400*b**3 What is the second derivative of 10*r**4*y + 15*r**2*y - 16*r*y + 11*y wrt r? 120*r**2*y + 30*y Differentiate 348*o**2*x - 3*x - 1 with respect to o. 696*o*x What is the derivative of w**4 + 7*w**2 + 23*w + 1410? 4*w**3 + 14*w + 23 Differentiate 2*b**2*y**3 - 11*b*y**3 + 2*y**3 - 38 with respect to b. 4*b*y**3 - 11*y**3 Find the third derivative of -1802*m**3*s**3 - 2*m**3*s**2 - m**2*s**3 + 1051*m**2 wrt m. -10812*s**3 - 12*s**2 Find the second derivative of 115*g**5 - 3*g**4*o + 10*g*o - 9 wrt g. 2300*g**3 - 36*g**2*o Find the second derivative of 296*p**3 + 2*p**2 + 131*p wrt p. 1776*p + 4 Find the third derivative of -3683*t**3 - 942*t**2. -22098 Differentiate -329*o**2 - 4*o - 858 wrt o. -658*o - 4 What is the third derivative of -1140*q**4 - 5453*q**2? -27360*q What is the second derivative of -o**4 - 187*o**3*y**2 + 6*o + 2*y**2 + 22 wrt o? -12*o**2 - 1122*o*y**2 What is the third derivative of 85*d**4 - 4*d**3 - 316*d**2 wrt d? 2040*d - 24 Differentiate h**4 - 200*h + 168. 4*h**3 - 200 Find the second derivative of -1025*i**2 + 478*i + 3. -2050 What is the third derivative of 2325*s**4 + s**2 + 26*s? 55800*s Find the second derivative of -125*j**5 + 359*j wrt j. -2500*j**3 Find the third derivative of -272*f**3 + 331*f**2 wrt f. -1632 Find the second derivative of -2*l**4 - 58*l**3 + 12*l**2 - 5614*l + 1. -24*l**2 - 348*l + 24 What is the second derivative of 2*i**2*v**2 + 284*i**2*v - 158*i*v - 2*v**2 + 1 wrt i? 4*v**2 + 568*v What is the second derivative of 9886*q**3 + 187*q + 2 wrt q? 59316*q What is the first derivative of 6*j**4 + 184*j - 2115? 24*j**3 + 184 What is the derivative of -5*q**3*s + 98*q*s**2 - 78*s**2 wrt q? -15*q**2*s + 98*s**2 What is the first derivative of -1184*n*z**2 + 312*n + z**4 + 4 wrt z? -2368*n*z + 4*z**3 What is the third derivative of -11622*l*w**3 - 14*l*w**2 - 147*w wrt w? -69732*l Differentiate 3*p*t - p + 931*t**3 - 135 wrt t. 3*p + 2793*t**2 Find the third derivative of -5*o**3*u**3 + 10*o**3 - o**2*u - 143*u**3 wrt o. -30*u**3 + 60 Find the first derivative of -53*h**3*j**2 + 53*h**3 + 2*h*j**4 + 6 wrt j. -106*h**3*j + 8*h*j**3 Find the first derivative of 84*g*s**2 + 2*g*w - 25*g - 2*s**2*w - s*w - 4 wrt s. 168*g*s - 4*s*w - w Find the third derivative of 14*c**3*w**4 - 3*c**3 + 3*c**2*w**3 - 129*c**2*w**2 + w**4 wrt w. 336*c**3*w + 18*c**2 + 24*w What is the third derivative of 2*s**5*u - 144*s**3*u - s**2*u - 9*s*u - 36*u wrt s? 120*s**2*u - 864*u Find the third derivative of -g**6 + 17*g**3 + 262*g**2. -120*g**3 + 102 What is the third derivative of -622*h**3*w + 4*h**3 + 2*h**2*w + 2*h**2 + 10*h - 76*w wrt h? -3732*w + 24 Find the first derivative of 4*i*w**3 + 4316*i - w**2 + 220*w wrt w. 12*i*w**2 - 2*w + 220 Find the second derivative of 45*y**5 + 60*y. 900*y**3 What is the third derivative of 5*s**3*u**3 + 17*s**3*u - s**2*u**4 + 4*s*u**3 - 5*s*u**2 wrt u? 30*s**3 - 24*s**2*u + 24*s Find the third derivative of 2*d**3*m**3 + d**3*m + 65*m**4 + 18*m**2 wrt m. 12*d**3 + 1560*m Find the second derivative of -1473*f*j**2 + 18*f*j - 2*f - 3*j - 10 wrt j. -2946*f Find the second derivative of 24*a*k*q**2 - 2*a*k*q - 6*a*q**2 - 7*a*q - 2*k*q**3 - k*q**2 + 14*k + 3*q wrt q. 48*a*k - 12*a - 12*k*q - 2*k Find the first derivative of -1737*b**4 + 1670. -6948*b**3 What is the second derivative of -2*g**2*s**2*x + g**2*s*x - 2*g**2*x**2 - g*s**2*x**2 + 16*g*s**2 - 18*g*s*x**3 - g wrt x? -4*g**2 - 2*g*s**2 - 108*g*s*x Differentiate -7*o**3 - 21*o**2 + o + 9723. -21*o**2 - 42*o + 1 Differentiate -979*c - 844 wrt c. -979 Find the second derivative of 22*x**3 + 18*x**2 + 151*x + 3 wrt x. 132*x + 36 Find the second derivative of -145*q**5 + 2*q - 4. -2900*q**3 What is the second derivative of -8*m**2*p*w**3 + 110*m**2*p*w - 5*m*p*w**3 + 3*m*w**3 + 2*m*w**2 + 6*p wrt m? -16*p*w**3 + 220*p*w What is the second derivative of 46*a**3*v**2 - a**3 - 3*a**2*v**2 - 6*a*v**2 - 435*a*v - 3 wrt v? 92*a**3 - 6*a**2 - 12*a Find the third derivative of -128*c*q**6 - 2*c*q**4 + c*q**3 - 2*c + 3*q**2 wrt q. -15360*c*q**3 - 48*c*q + 6*c What is the second derivative of -23*d**4 + 7*d**3*h + 6*d*h - 2*d + h wrt d? -276*d**2 + 42*d*h Find the second derivative of -58*u**3*w**2 - 22*u**3*w - u*w + 2*w**4 wrt w. -116*u**3 + 24*w**2 What is the third derivative of -2*g*n**3 + 18*g*n**2 - 3*g*n - 40*n**5 + n wrt n? -12*g - 2400*n**2 Find the third derivative of -57*y**6 - y**3 + 5*y**2 - 8*y. -6840*y**3 - 6 Find the third derivative of -538*i**6 - 6*i**2 - 25*i. -64560*i**3 Find the third derivative of -134*b**4 + 7*b**3 - 3*b**2 + 13*b. -3216*b + 42 Find the first derivative of 2464*k**2*t**3 - 3*k**2 - 38*t**3 - 82*t**2 wrt k. 4928*k*t**3 - 6*k What is the third derivative of -724*b**6 - 9*b**2 + 34*b? -86880*b**3 Find the third derivative of 1068*d**3 - 202*d**2 + 1. 6408 What is the third derivative of 1371*u**2*w**3 + 3*u**2*w**2 + 3*u**2*w + 8*w wrt w? 8226*u**2 What is the second derivative of 61*i**2*n*s**2 - 3*i**2*n - 4*i*s - 3*n**2*s**2 - 2*n**2*s - n*s wrt s? 122*i**2*n - 6*n**2 Differentiate -1019*m**3*u - 1141*m**3 - m**2*u - 2*m*u**3 + 3 wrt u. -1019*m**3 - m**2 - 6*m*u**2 What is the third derivative of 336*g**3 + 37*g**2 - 3 wrt g? 2016 Differentiate 2*j*u**2 + 30*j*u + j + u**2 - 475 with respect to u. 4*j*u + 30*j + 2*u What is the third derivative of 4*f**3*p**3 + 6*f**3*p**2 - 56*f**3 - 426*f**2*p**3 + 2*f**2*p**2 + p**2 wrt p? 24*f**3 - 2556*f**2 What is the third derivative of -8111*a**3 + 7*a**2 - 418? -48666 Differentiate -301*t**4 + 2*t**3 - 2593 wrt t. -1204*t**3 + 6*t**2 Find the third derivative of 14*c**5*f + 7*c**5 + 16*c**4 + 195*c**2*f - 11*c*f wrt c. 840*c**2*f + 420*c**2 + 384*c What is the third derivative of 75*q**5 + q**4 + 905*q**2 wrt q? 4500*q**2 + 24*q Differentiate 3*f**2*n**3 - 564*f**2 - 128*f*n wrt n. 9*f**2*n**2 - 128*f Find the third derivative of 5688*d**3 - 3768*d**2 wrt d. 34128 Find the third derivative of -24*t**6 + 2*t**4 + 27*t**3 + 4245*t**2 wrt t. -2880*t**3 + 48*t + 162 Find the first derivative of -k**3 + 291*k**2 - 513 wrt k. -3*k**2 + 582*k What is the derivative of i*m**3 - i*m**2 - i + 109*m**3 - 290 wrt m? 3*i*m**2 - 2*i*m + 327*m**2 Find the second derivative of 542*a**4 - a + 14 wrt a. 6504*a**2 Find the third derivative of -10*a**3 - a**2 + 3*a wrt a. -60 Find the third derivative of 239*m**3 - 1029*m**2 wrt m. 1434 Find the second derivative of -a*h**3*y + 38*a*h**2*y + 2*a*h*y**2 + 5*h**3*y**2 + 4*h**3*y + 17*h*y**3 wrt y. 4*a*h + 10*h**3 + 102*h*y What is the second derivative of 746*j**4 - j**3*s - 6*j**2*s + 7*
{ "pile_set_name": "DM Mathematics" }
-2*r**5 - 12*r**4 + 2*r**2 + 76. -120*r**2 - 288*r What is the third derivative of -1962*h**3 + 2688*h**2 wrt h? -11772 Find the second derivative of -571*x**3 + 283*x + 2 wrt x. -3426*x What is the derivative of -19*n*z**3 + 10*n - 3*z**3 - 1 wrt z? -57*n*z**2 - 9*z**2 Find the third derivative of 21*q**4 + 97*q**3 - q**2 - 4322*q. 504*q + 582 Find the third derivative of 9*s**5 - 13*s**3 + 218*s**2. 540*s**2 - 78 Differentiate 290*t + 920 with respect to t. 290 Find the third derivative of -15387*c**4 + 4359*c**2. -369288*c Differentiate -56*r**3*t + 2*r**2*t - r*t + 93*t with respect to r. -168*r**2*t + 4*r*t - t Find the second derivative of -c*p*x + 44*c*x**2 + c + 3*p**2*x**3 - 3*p**2 + x wrt x. 88*c + 18*p**2*x Find the third derivative of 2474*x**3 - 210*x**2 + 1. 14844 Find the third derivative of 2*f**3*y**3 - f**3*y**2 + 2*f**3*y - f + 3*y**4 - 3*y**3 wrt y. 12*f**3 + 72*y - 18 What is the second derivative of -261*b**3 - 3*b**2 + 1406*b wrt b? -1566*b - 6 Find the third derivative of -424*g**3*j + 2*g**2*j + g**2 + 286*j wrt g. -2544*j Find the first derivative of 2*i*k**2*n - 5*i*k**2*p - 35*i*k**2 - 2*k**2*n + 2*k*n + 154*p wrt i. 2*k**2*n - 5*k**2*p - 35*k**2 Find the second derivative of 282*k**2*o**3 + 13*k**2*o - 10*k**2 wrt o. 1692*k**2*o Find the second derivative of -679*r**5 + 334*r - 2 wrt r. -13580*r**3 Differentiate -3454*r - 1330. -3454 Find the first derivative of -53*q**4 - 7*q**3 - 1515 wrt q. -212*q**3 - 21*q**2 Differentiate 13*g**4*v + 3*g**2*v**2 - v**2 + 239 wrt g. 52*g**3*v + 6*g*v**2 Find the third derivative of 262*c**3*j**2*u - 4*c**2*j**2 + j*u - 2*u wrt c. 1572*j**2*u What is the second derivative of -g*i*p**2 - 12*g*i*w - 3*g*p**2 - i*p**2*w + i*p**2 - 4*i*p*w - 4*i*p + p**2 wrt p? -2*g*i - 6*g - 2*i*w + 2*i + 2 Find the third derivative of 346*x**3 + 49*x**2 - 1. 2076 Differentiate 2*k*m**2*w**2 - 34*k*m**2 + 2*k*w**2 - 889*k + m*w**2 wrt m. 4*k*m*w**2 - 68*k*m + w**2 What is the second derivative of 10*v**4 - 53*v**2 - 2094*v wrt v? 120*v**2 - 106 What is the first derivative of 9918*b*h - 7418*b wrt h? 9918*b Find the second derivative of i**4 - 261*i**3 + 379*i wrt i. 12*i**2 - 1566*i Find the third derivative of -96*t**3 - 28*t**2 + 2. -576 What is the second derivative of 10*c**2*k**2 + 4*c**2*k + 64*k**2 + 110*k + 1 wrt k? 20*c**2 + 128 What is the second derivative of -105*i**2*s**2 + 2*i**2 + 2*i*s + s wrt s? -210*i**2 What is the third derivative of 9*p**5 - 96*p**3 - 19*p**2 - 190*p wrt p? 540*p**2 - 576 Find the second derivative of -1761*t**2 - 2118*t + 1. -3522 Find the first derivative of 82*j**3*l - 402*j**3 + 5*j**2*l - 1 wrt l. 82*j**3 + 5*j**2 Find the second derivative of -3015*s*u**5 + 34*s*u + 7*u wrt u. -60300*s*u**3 What is the first derivative of 89*v + 454? 89 Find the second derivative of 2702*n**3*o**3 - 2*n**3 + 45*n*o wrt o. 16212*n**3*o Find the second derivative of 3*b**3*m + b**2*m - 2*b**2 - 2*b*m - 2*m - 5 wrt b. 18*b*m + 2*m - 4 Find the second derivative of 2*g**3*w**2 - g**3*w + 2213*g**2*w + 906*w**4 wrt w. 4*g**3 + 10872*w**2 Find the third derivative of -54*k**5 - 3*k**3 - 3*k**2 + 58 wrt k. -3240*k**2 - 18 Differentiate 98*b**2*f - 4*b**2 + 3*f + 109 wrt b. 196*b*f - 8*b What is the first derivative of -6376*v - 339 wrt v? -6376 Find the third derivative of 13310*m**3*n**2 + 2*m**2*n**2 + 346*m**2 - m*n**2 wrt m. 79860*n**2 Find the second derivative of 7*d**2*f - 2*d**2 - 19*d*f - 2*f wrt d. 14*f - 4 Differentiate 9711*g**2 - 12766. 19422*g Find the second derivative of -74*b**3*r + b**3 - 11*b*r + 3*b - 3*r wrt b. -444*b*r + 6*b What is the second derivative of -10373*b**5 + 9*b - 40 wrt b? -207460*b**3 What is the derivative of -11*d**3*h + 9*d**2*h**2 + d**2*h + 946*h**2 wrt d? -33*d**2*h + 18*d*h**2 + 2*d*h What is the derivative of c**2*j**2 + 5*c**2*j - 34*c*j**2 - 22997*j**2 wrt c? 2*c*j**2 + 10*c*j - 34*j**2 What is the third derivative of 21*d*u**3 - d*u**2 + d*u + 4*u**6 + u**3 + 6*u wrt u? 126*d + 480*u**3 + 6 What is the second derivative of -5701*z**3 + 2*z**2 + 5016*z? -34206*z + 4 What is the second derivative of -885*w**5 - 465*w? -17700*w**3 What is the derivative of 793*d**2 + d + 9377? 1586*d + 1 What is the first derivative of -2*x*z**3 + 44*x + 21*z**3 - 1 wrt z? -6*x*z**2 + 63*z**2 Find the third derivative of 12*m*t**4*v + m*t**3 + m*t**2 - m - 2*t**4*v - 2*t*v wrt t. 288*m*t*v + 6*m - 48*t*v What is the third derivative of 2378*q**4 + 16*q**2 - 66? 57072*q Find the first derivative of 18*x**4 + 28*x**3 + 2033 wrt x. 72*x**3 + 84*x**2 Find the third derivative of 2366*v**5 + 19*v**2 - 104 wrt v. 141960*v**2 What is the third derivative of 6077*x**3 - x**2 + 305*x? 36462 Differentiate -g*s**2 - 16343*g + 2690*s**4 wrt s. -2*g*s + 10760*s**3 What is the third derivative of 14*t**4 - 8*t**3 - 380*t**2? 336*t - 48 Find the third derivative of -98*h**3*u + 4*h**3 - 16*h**2*u + h**2 wrt h. -588*u + 24 Find the third derivative of 2*o*p**3*s**2 + 6*o*p**3 + o*p**2*s**2 + 33*p**4*s**2 + 909*p*s**2 wrt p. 12*o*s**2 + 36*o + 792*p*s**2 What is the second derivative of -370*w**2 - 102*w wrt w? -740 Find the second derivative of 2*k*n**2*v**2 + 136*k*n*v**2 - 39*k*n*v - 3*n**2 wrt v. 4*k*n**2 + 272*k*n What is the second derivative of -b*h**2*o**3 + 9*b*h**2 + 6*b*h*o**3 + 2*b*h*o**2 + 35*b + 48*h**3*o - h - 2*o**2 wrt h? -2*b*o**3 + 18*b + 288*h*o Find the second derivative of i**4 - i**3*x + i**2 + 37*i*x - 16 wrt i. 12*i**2 - 6*i*x + 2 Find the first derivative of 2*k**3*q**2 + 19*k**3 - 85*q**3 + 5 wrt q. 4*k**3*q - 255*q**2 What is the third derivative of 19946*r**4 - 2*r**2 + 2*r + 1801 wrt r? 478704*r Find the second derivative of 2890*c**4 - 3*c**2 + 7*c + 206 wrt c. 34680*c**2 - 6 What is the first derivative of -96*h*j**3 + h*z**2 - 14*j**3 - 14*j**2*z**2 - 2*z**2 wrt h? -96*j**3 + z**2 What is the second derivative of 16*n**2 + 55*n - 2 wrt n? 32 Find the second derivative of -4*d**5 + 212*d**2 + 470*d wrt d. -80*d**3 + 424 What is the second derivative of -35*r**4 + 2*r**3 - 75*r + 2? -420*r**2 + 12*r Find the third derivative of 221*u**5 + 32*u**2. 13260*u**2 Find the second derivative of -17*x**3 - 28*x**2 - 2*x - 46. -102*x - 56 Find the second derivative of 50*b**3*f**2 - 2*b**3 - 3*f**4 - f wrt f. 100*b**3 - 36*f**2 Find the second derivative of -3*b**3*x**2 + 8*b**3 - 2*b**2 - 16*b*x**3 - 28*b*x wrt x. -6*b**3 - 96*b*x Find the second derivative of 19*r**2*v**2 + 4*r**2 + 2*r*v + 22*v**2 + 24 wrt r. 38*v**2 + 8 What is the derivative of -10966*b**3*w**2 - 1019*b**3 - 2*b**2 + 7*b wrt w? -21932*b**3*w What is the first derivative of -2258*p + 947 wrt p? -2258 Find the second derivative of 2077*d**2*m**2 + 219*d - 2*m**2 wrt d. 4154*m**2 Find the first derivative of 146*b*i*k + 4*b*i + 447*b*k**2 + 3*b + 3*i*k**2 - 2*i wrt i. 146*b*k + 4*b + 3*k**2 - 2 Find the second derivative of 562*h**3*i**2 + 73*h**3*i*x + h**3*x - h**2*i**2 - 2*h*i**2*x**2 + x**2 wrt i. 1124*h**3 - 2*h**2 - 4*h*x**2 What is the second derivative of -2930*y**2 + 4852*y? -5860 Find the second derivative of -186*k**3*p**3 - 31*k**3 - 2*k*p wrt p. -1116*k**3*p Find the first derivative of 7863*n - 6631. 7863 Find the second derivative of -223*y**2 - 65*y - 2. -446 What is the third derivative of -46*w**3 + 2*w**2 - 41*w? -276 Find the first derivative of -32*h**3 + 16*h + 6344. -96*h**2 + 16 What is the derivative of 232*d**2 + d - 216? 464*d + 1 What is the second derivative of -129*n**2*p + 4*n**2 - n*p - 7*n - 2*p - 78 wrt n? -258*p + 8 Find the second derivative of 3491*h**2*z**2 + h**2 - 331*h*z - 2*h - 2*z**2 wrt h. 6982*z**2 + 2 What is the third derivative of 2*d**5 - 3568*d**3*m**2 - 25*d**2*m**2 - 2*d**2*m + 28*m**2 wrt d? 120*d**2 - 21408*m**2 Find the third derivative of 181*d**5 + 2*d**2 - 153. 10860*d**2 Find the first derivative of -2*g*i*n + 6*g*i + g*n**2 + g + 3*i + 39*n**3 wrt n. -2*g*i + 2*g*n + 117*n**2 Differentiate 2*o**3 + 42*o**2 - 666 wrt o. 6*o**2 + 84*o What is the third derivative of -3*j*k**3 + 41*j*k**2*n**3 + 2*j*k**2*n**2 - 7*j*n**3 - 15*j*n + 4*k**3*n**3 wrt n? 246*j*k**2 - 42*j + 24*k**3 What is the derivative of 143*w**4 + 56 wrt w? 572*w**3 What is the third derivative of -26474*p**2*w**3 + 2*p**2*w**2 - 2027*w**2 wrt w? -1
{ "pile_set_name": "DM Mathematics" }
- 5286 What is the derivative of q*s**2 - 29577768*q + 6562*s**2 + 4189*s wrt q? s**2 - 29577768 What is the third derivative of -136156837*z**5 - 8406*z**2 - 9004*z wrt z? -8169410220*z**2 What is the second derivative of 12825*g*r**2 - 5*g*r*t - 38*r**2*t - 5373*r*t + 89*t wrt r? 25650*g - 76*t What is the derivative of 5*z**3 + 10*z**2 + 48344*z + 11282710? 15*z**2 + 20*z + 48344 Find the second derivative of 12916131*g**4 + 12146503*g wrt g. 154993572*g**2 Find the second derivative of -187781874*t**3 + 10*t - 6641390. -1126691244*t Find the second derivative of -t*y**3 - 25106*t*y**2 - 2*t + 2*y**2 + 783944*y - 1 wrt y. -6*t*y - 50212*t + 4 What is the third derivative of 1754683*r**3 - 370271832*r**2 - 2? 10528098 What is the third derivative of 464764421*m**6 + 2*m**2 - 37*m + 52922? 55771730520*m**3 What is the third derivative of 206*b**2*u**3 - 3*b**2 - 2*b*u**3 - 582*b*u**2 - 35365*u**3 + 170 wrt u? 1236*b**2 - 12*b - 212190 What is the first derivative of 285021*g**2 - 6*g*j - 486994*j wrt g? 570042*g - 6*j Find the second derivative of -14840251*m**2*s**2 + 136*m**2*s + m*s + 4*s wrt s. -29680502*m**2 Differentiate -3*i**3*q - 2*i**3 + 5*i**2*q + 27*i**2 - 11*i*q + 5826*i + 2151*q + 3 wrt q. -3*i**3 + 5*i**2 - 11*i + 2151 What is the second derivative of 1509053968*y**2 - 1062183611*y wrt y? 3018107936 What is the third derivative of 6*u**3*z**4 + 6*u**3*z**2 - 5*u**3*z - 2*u*z**2 + 3*u*z + 111170*z**6 - 234*z**2 + 10 wrt z? 144*u**3*z + 13340400*z**3 Find the first derivative of 106361*w**4 - 252*w**2 + 133926231. 425444*w**3 - 504*w What is the first derivative of -5278541*f*x + 9107658*x wrt f? -5278541*x Differentiate 7774235*n**4 + 9401692. 31096940*n**3 Find the first derivative of 138791211*z**2 - 5*z - 70053877. 277582422*z - 5 What is the first derivative of -50764582*c + 580055152? -50764582 What is the first derivative of 85*n**3*r - 1319*n**3 - 4720*n**2*r + 9*n + 2*r - 57 wrt r? 85*n**3 - 4720*n**2 + 2 What is the derivative of 1745709*a*n + 33516687*a + 4*n wrt n? 1745709*a + 4 Differentiate 172006*h*x**2 - 338*h*x - 22*x**2 + 170631*x - 2 with respect to h. 172006*x**2 - 338*x Differentiate 46399600*p + 34193268. 46399600 Find the third derivative of 441*j**5*v - 235156*j**4*v**2 + 8*j**2*v**2 - 1631209*j**2*v - j - 2*v wrt j. 26460*j**2*v - 5643744*j*v**2 Differentiate -34730069*b - 155861758. -34730069 What is the second derivative of 476*x**4 + 12592*x**2 + 5*x - 437448 wrt x? 5712*x**2 + 25184 What is the second derivative of -138*o**4*q - 615231*o**3*q + 14*o*q + 5163769*o wrt o? -1656*o**2*q - 3691386*o*q What is the third derivative of 1077*c**2*y**4 + 12*c**2*y**3 - c**2*y + c**2 + 8*c*y**3 - 46218*c*y**2 + 24*c*y wrt y? 25848*c**2*y + 72*c**2 + 48*c What is the first derivative of -44114266*l**2 - 126248205 wrt l? -88228532*l What is the derivative of 100298786*g - 235653039 wrt g? 100298786 Find the third derivative of -82364158*d**3*o**2 + 780*d**2*o**2 - d**2*o + 3*d**2 - 27*d*o wrt d. -494184948*o**2 What is the third derivative of 653168851*n**3*t**3 + n**3*t**2 - 214486*n**2*t**2 + 2*n*t**4 + 66*n*t + 1 wrt t? 3919013106*n**3 + 48*n*t Find the third derivative of 6269746*i**4 - 3*i**2 - 623812*i. 150473904*i What is the third derivative of -21*c**4*h*z**2 - 4*c**3*h + 76113*c**3 - 2*c**2*h*z**2 + 2*c**2 + 2*c*h + 2*c*z**2 + 2*c + 7*h*z**2 + 12*z**2 wrt c? -504*c*h*z**2 - 24*h + 456678 Find the second derivative of -45293001*d**4 + 13000995*d. -543516012*d**2 What is the third derivative of -400594949*q**3 - 298850370*q**2 + q? -2403569694 What is the third derivative of 7*b*q**3 - 14*b - 7247176*q**3 + 1623840*q**2 wrt q? 42*b - 43483056 Differentiate -8784219*i**3 + 10894198 wrt i. -26352657*i**2 What is the second derivative of 2812*c**3*z**2 + c**3*z + 26*c**2*z**2 + 2*c*z**2 + 126*c - 211*z**2 - 3*z - 1 wrt c? 16872*c*z**2 + 6*c*z + 52*z**2 What is the second derivative of -1220818461*f**4 - 390032767*f? -14649821532*f**2 Find the third derivative of 167340981*r**4 + 112560*r**2 + 967. 4016183544*r What is the derivative of -o**2*v - 12*o**2 + 416985714*o*v + 548049*o + 3 wrt v? -o**2 + 416985714*o Find the second derivative of -263667420*r**3*w**3 - r**3*w + 8754*r**2*w - 3*r**2 + r - 2 wrt w. -1582004520*r**3*w What is the third derivative of 21030*n**5 - 65*n**4*y - 2763599*n**2*y - 3*y wrt n? 1261800*n**2 - 1560*n*y What is the third derivative of 37926938*c**3*k*w**4 - 7*c**3*k + 2*c**3*w**2 - 21*c**3 + 2*c**2*k*w**3 - 2*c**2*k*w**2 - c**2*k*w - c**2*k + 916*c*w wrt w? 910246512*c**3*k*w + 12*c**2*k What is the second derivative of -4026*b*d*p + 79*b*p**2 + 2330301*d*p**2 + p + 11068 wrt p? 158*b + 4660602*d What is the first derivative of -86620540*o**4 - 647592029 wrt o? -346482160*o**3 What is the second derivative of -25*x**3 + 10340*x**2 + 12509844*x wrt x? -150*x + 20680 Differentiate -792068032*j*l + 123570329*l + 1 wrt j. -792068032*l Differentiate 2534*q**4 - 148640*q**2 - 84710533 with respect to q. 10136*q**3 - 297280*q Differentiate 186531*i**3*x - 7*i**3 - 45*i*x**3 - 363912 with respect to x. 186531*i**3 - 135*i*x**2 What is the second derivative of -13438*u**3 + 210*u**2 - 964360*u wrt u? -80628*u + 420 What is the second derivative of -57*a**3*j**2 + 5944*a**3*j - a**3 + 293371*a**2*j**2 - 11*a**2*j - 2*a*j - 2*j wrt j? -114*a**3 + 586742*a**2 Find the second derivative of 22352934*k**2*w - 2*k**2 + 819*k*w - 19852*w wrt k. 44705868*w - 4 What is the second derivative of 2*b**4 - 1870303*b**3 + 2*b**2 - 106200433*b wrt b? 24*b**2 - 11221818*b + 4 What is the second derivative of -145320161*a**5 + 44464*a + 250 wrt a? -2906403220*a**3 What is the first derivative of 1162*a**2*g + 5426*a*g**2 + 3595*g**2 + 5*g - 23 wrt a? 2324*a*g + 5426*g**2 Find the first derivative of 33061*p**4 + 3*p**3 + 162*p**2 - 1243235832. 132244*p**3 + 9*p**2 + 324*p Find the second derivative of 40*s**5 + 46651*s**4 + 8*s**3 + 54489589*s. 800*s**3 + 559812*s**2 + 48*s What is the second derivative of -18*j**3*n + 12*j**3 - 129*j**2*n + 26*j**2 + 34533*j - 898*n wrt j? -108*j*n + 72*j - 258*n + 52 What is the second derivative of 704341*i**3 - 86*i**2 - 10773*i - 5059 wrt i? 4226046*i - 172 Find the second derivative of -5*s**4 + 7451689*s**3 - 1700*s - 40990 wrt s. -60*s**2 + 44710134*s What is the third derivative of -29359424*w**6 + 6043073*w**2 - 3*w? -3523130880*w**3 What is the derivative of -186*f**2*k - 69964673*f**2 - 11*f*k - 966*k wrt k? -186*f**2 - 11*f - 966 Find the third derivative of -116102227*g*t**3 - 17*g*t**2 - 3*g + 20*t + 11975 wrt t. -696613362*g What is the third derivative of -222647018*h**3 + 1508054820*h**2? -1335882108 Differentiate -71109*w*z**3 - 3313*w + 332391955*z**3 with respect to w. -71109*z**3 - 3313 Differentiate 458389518*a**2*z - a**2 - 104669*a + 503 with respect to z. 458389518*a**2 Differentiate -12542521*q - 13821247 with respect to q. -12542521 What is the third derivative of 12399825*g**3 + 41*g**2 + 383*g - 103? 74398950 Find the second derivative of -165687859*y**5 + 31986778*y. -3313757180*y**3 Find the second derivative of -3*i**4 + 6*i**3 + 62*i**2*x - 450*i**2 - 13312*i*x - 2*i - 295*x wrt i. -36*i**2 + 36*i + 124*x - 900 What is the third derivative of -16101375*g**4 - 706203*g**2 + 7*g? -386433000*g What is the second derivative of 1033349738*f**2 - 833124115*f wrt f? 2066699476 What is the first derivative of -4449621*m**2 - m - 3948235 wrt m? -8899242*m - 1 What is the third derivative of -19453*p**3*v*z + 36*p**3*v + 3797*p**2*v*z + 5*p**2*z - 3*p*v + 3*z wrt p? -116718*v*z + 216*v What is the third derivative of -17651745*q**3 - 4494730*q**2 wrt q? -105910470 Find the third derivative of -5028337*b**3*c**3 + 1736*b**2*c**3 + 43*b*c**3 - 6 wrt b. -30170022*c**3 What is the derivative of -107040469*r - 490222161? -107040469 Find the second derivative of -43692962*a**4 + 73*a + 452433 wrt a. -524315544*a**2 Find the first derivative of -2*b**3 + 1187586*b**2 - 2*b + 1449824 wrt b. -6*b**2 + 2375172*b - 2 Find the second derivative of -74008427*n**3 - 51316*n + 137 wrt n. -444050562*n Differentiate -46116194*z**2 + 37763718 wrt z. -92232388*z Find the second derivative of 14674193*u**2 - 126*u - 2904. 29348386 What is the first derivative of n
{ "pile_set_name": "DM Mathematics" }
+ -64 + -6 + -33. -38 Calculate 15 + -6 - (-7 + 10) - ((8 - 4) + -6). 8 1774 + -1664 + 0 + -32 78 Calculate (19 + -21 - (-20 + -14)) + 0 + (-2 - -5). 35 Evaluate -389 + 1310 + -921 + 2 + -1 + 29 + 1. 31 Evaluate 134 - (-569 - -538 - (-29 + -1)). 135 Calculate (-8 + -51 - 0) + 74. 15 Evaluate 4 + -41 + 1 - (-26 - -55 - 43). -22 37 + -88 + 41 + (-4 + 49 - 6) 29 -20 + 2 + -20 + (-17 - -50) - (4 + -41) 32 Calculate 16 - 10 - (7 + 2) - (32 - 66). 31 4 - 12 - (6 + -15 + 0 + -2) 3 Evaluate -28 - ((1 - -16) + (-49 - -46) - 7). -35 -14 + 0 - (540 + -564) 10 -150 + (28 - 2 - (989 + -1004)) -109 What is (7 - 2 - -3) + 2 + 103 + -69? 44 What is the value of -6 + (5 - (14 - 45))? 30 What is the value of -51 + 66 + (-65 - (5 + -7))? -48 Evaluate (10 - 16 - -80) + (-9 - -6 - 1) - 3. 67 What is -11 + -9 + -9 + 24 + 55? 50 Calculate -8 - (50 - 4 - (133 - 112)). -33 Evaluate -13 - (-33 + 6 + 80). -66 Calculate -42 + 59 - (108 - (-3 + (7 - 9))). -96 Calculate -22 - (-23 - ((2 - 33) + 62)). 32 (2 - 8) + -12 - -18 - (24 - 0) -24 11 + (10 + -13 - 28) + 8 -12 14 + 10 + -6 + 293 + -328 -17 50 - (-49 - -70) - (13 - -64) -48 Calculate 144 + -24 + (79 - 78). 121 (95 + -85 - 7) + 0 + -18 -15 What is the value of (1 - -11) + (-23 + 27 + -18 - (-8 + -50))? 56 Evaluate 15 + (7 - 3) + (37 - 37) - 97. -78 -52 + -1 - ((-65 - -61) + 8 + -2 + -1) -54 Calculate -12 + (-5 - (-25 + 2 - 46)) - 13. 39 What is (-76 - (20 + -80)) + (-2 - 6)? -24 Evaluate 1 + -38 + -32 + 61 + -50. -58 Calculate -2 + 18 + -7 + -13 + -3 + 105 + 5. 103 Evaluate 2 + -1 + -1 - (134 - 69 - 100). 35 What is the value of 10 + (22 - 21) + -4 + 5? 12 What is the value of 5 + -14 + -10 + (-10 - -22) - 27? -34 Calculate -65 - (-25 - -88 - 86). -42 What is (24 - 31) + 113 + (-33 - -13)? 86 Evaluate 46 - (0 + (2 - 4)) - (-9 + 1 - -3). 53 -7 - (272 + -253 + 1 + -12) - -30 15 Evaluate 25 + (-24 - 14) + -10 - -19. -4 Evaluate -24 + 10 + -63 + 70. -7 Evaluate (0 - 6) + (23 - 67 - -10) - 11. -51 Evaluate -15 + 29 - (-4 - 5) - (-3 + 11 - 1). 16 Calculate 5 - -45 - (-12 + 14 - (-2 + 20)). 66 What is the value of 25 + (-52 + 29 - -83 - 41)? 44 What is the value of -32 - -34 - (48 - 17)? -29 Calculate 260 + -287 + -19 + -4 + 5. -45 What is (25 - 32) + 62 + -73? -18 Calculate (-70 - (30 - -40)) + 69. -71 Evaluate -160 - -72 - -33 - (-13 - (-2 + 1)). -43 What is the value of (-77 - -2) + 670 + -589? 6 What is (53 - -1 - ((3 - 2) + 1)) + (3933 - 3941)? 44 What is (40 - -1) + (-23 + (6 - 1) - -24)? 47 Evaluate -15 + 53 + (-11 - -5) + -7. 25 -1 + -1 - (-3 + 36) -35 What is the value of 52 + -2 + 12 + -16 + -11? 35 What is 7 - (8 + 21 - -22) - 11? -55 Evaluate -1586 - -1557 - (-2 + -5). -22 Evaluate -18 + (-6 - (29 - 22)) + -21. -52 51 - (-40 + 47) - 0 44 (-36 - -26 - (-4 + 1 + 1)) + (0 - 52) -60 What is 12 + (-33 + 12 - -16) + 87 + -21? 73 -2 + 6 - -2 - (-4 - (-15 - -2)) -3 Evaluate 9 + -8 - (9 - (-25 - -34)). 1 (211 - 158 - ((0 - -2) + -18)) + -11 58 Evaluate -203 - (-163 + (110 - 74)). -76 Evaluate (-16 - 53) + (-191 - -395). 135 0 + -22 + (46 - 4) + 38 58 (-11 - -11) + (0 - 0) - (-118 + 129) -11 What is the value of -85 + 47 - -35 - (-2 + 2)? -3 Evaluate 451 + -427 + 2 + 0 + (4 - 2) + -2. 26 Calculate -17 + (14 - (-4 + 43) - -99) + -22. 35 Calculate -10 + 3 + 3 + (-1 - 2 - (-78 - -18)). 53 What is the value of -8 - 1 - (-57 + 39 + 6)? 3 -41 + -7 + 24 - 11 - (-2 - (4 + 2)) -27 What is -18 + (-23 + 43 - 30) + 36? 8 What is (-36 + 20 - 1) + 1 + 1 + 4? -11 What is 49 + 46 + -32 - 47? 16 Calculate -54 + -7 + 5 + (4 + -31 - -42). -41 (26 - 13 - 18) + (-6 - 8 - -7) + -5 -17 Evaluate (-10 - -1) + -88 + (11 - -86) + -1. -1 What is the value of -45 + (60 - 39) + 73 + -2? 47 What is the value of -2219 - -2214 - (1 + (-1 - -8)) - -7? -6 What is the value of 9 + (10 - (8 + (5 - (13 + -13 + 7))))? 13 Calculate (21 - 10) + (-8 + 15 - 9) - (104 - -11). -106 (-1 - -13) + (10 + -15 - -31) 38 What is the value of -44 + 3 + -2 + (28 - (-9 - -26))? -32 What is the value of -31 + 89 - (6 - -26)? 26 What is (21 - (25 + -11)) + (-3 - 1)? 3 What is the value of (192 - -6) + -87 + -59? 52 What is the value of -82 - (0 + 9 + 5 + -11 + -13)? -72 (-2 - -33) + 261 + -231 - 26 35 (66 - 127 - -98) + -120 -83 What is the value of -126 + 89 - (4 + -32) - (-3 + 56)? -62 What is 23 + -29 + (68 - 71)? -9 4 + (-44 + 1 - (537 + -559)) -17 What is 4 + (-44 - (-3 + -13) - -12 - -42)? 30 Calculate 46 - (-53 - -84) - (-4 - 1). 20 What is -31 + (-60 - (-109 - 21))? 39 What is the value of (-7 - (-3 + -3 + 2)) + -7 + (-20 - -69)? 39 Evaluate 115 - 19 - (-55 - -104). 47 What is the value of (-68 - (2 + 22 + (-64 - -59))) + 14? -73 What is the value of (372 - 397) + 112 + -1 + -15 + 1? 72 Evaluate (19 - (46 + -16)) + 37. 26 What is -1 - 3 - (32 + -24 - (-2 + 7) - 88)? 81 Calculate 2 - 1 - 6 - (69 - 30 - 7). -37 What is -778 - -632 - (14 + -33)? -127 Calculate 3 + -25 + (15 - ((-9 - -5) + 7)). -10 What is the value of (3546 - 3614) + (74 - -1)? 7 10922 + -10932 + (-14 - 0) -24 What is the value of -12 - ((-5 - 0) + (41 - 21) + -13)? -14 Evaluate 34 - (-18 + 10 + 51). -9 Evaluate 6 + (22 - 42) + 2. -12 What is (3 - 11) + (-13 - -20) + -5? -6 What is (41 - ((8 - 0) + (3 - 0))) + 12? 42 Evaluate (-42 - (50 - 68)) + -22. -46 What is 2196 + -2186 - (2 + 70)? -62 Evaluate (-3 - (14 + -5 + -10)) + -6 + -4. -12 Calculate -108 - (4 + -22 - 25 - -18). -83 Evaluate -127 - -92 - (1 + (-13 - -3)). -26 What is (0 - (3 - (-3 - -5))) + -163 + 219? 55 Evaluate -17 - 2 - (-42 + (46 - -5)). -28 Calculate (-13 - (-45 - -62)) + (11 - 1) + -50. -70 Evaluate -14 + 0 + (13 - (2 + -10 - 22)). 29 What is (83 - -17) + -379 + 149? -130 What is the value of -2 + (14 + -16 + -20 + 7 - -37)? 20 Evaluate 7 + (-3 + 5 - -16) + (-3 - 1). 21 What is 3 + -28 + (-7 + 22 - (23 + 4 + -12))? -25 What is the value of -6 + 5 - (-40 - -18) - (3 - (13 - 0))? 31 What is -20 - (1 - (26 - 7 - 28 - 14))? -44 -1 + 38 + (9 - (-10 + (12 - 11 - -5))) 50 Evaluate -8 - -6 - 56 - ((-1 - 3) + (-44 - -58)). -68 Evaluate -15 + 0 + 34 + 20 + -45 + -9. -15 -17 + 17 + 0 + 2 - ((-62 - -2) + 6) 56 3024 + -3044 - (-3 - 109) 92 What is -40 + -97 + 54 + 162? 79 What is the value of -21 + (-15 + (-1 + -6 - -32) - 9)? -20 Evaluate -37 + 3 + (-36 + (32 - 2) - -10). -30 Evaluate -40 + 18 - (1 + -22). -1 Calculate (-23 - 60) + 9 + 164. 90 What is -2 + -7 - ((-53 - -60) + -22 + 8)? -2 Calculate (-2 + 3 - 46 - 3) + -277 + 270 - -8. -47 What is (-59 - -65) + 10 + 0 + 1 + 50? 67 Calculate 8 - (0 + (-10 - (-14 + 10)) - 2). 16 Evaluate 59 + 22 + -21 + -30. 30 Calculate -16 - -1 - (17 - (-6 + 15)). -23 Evaluate -81 - (-103 + 4) - 32. -14 What is (5 - ((13 - 8) + (8 - -2))) + 2 + 12? 4 Calculate (-46 - -48) + (41 - 149). -106 Evaluate 24 + (0 + 74 - 5 - (-1 + -7)). 101 -5374 - -5518 - (-1 - -204) -59 (156 - (-4 + 9 + 14)) + 8 + -16 129 What is (326 - 197) + -7 + -191? -69 13 + -10 - -4 - (6 - (5 - 3) - -31) -28 Evaluate (0 + -9 - 4 - (3 + -13) - -4) + -28. -27 What is the value of -5 + 11 - (-35 + (24 - 7) - 1)? 25 Calculate (0 - (-7 + 3)) + (2 - (0 + 20 + -7)). -7 108 + (31 - 41 - -28) + -50 76 -8 + -2 + 772 + -737 25 Evaluate -3 + 89 + -52 - 80. -46 (-97 - 62) + 42 + 69 -48 Evaluate (6 - (-5 + (21 - 10))) + (7 - 6) + 57. 58 Evaluate -22 + (-37 - -61) + -27. -25 What is -1 - ((-6 + -1 - -5) + 9) - (136 - 145)? 1 What is the value of (-52 + 7 - 9) + (1039 - 993)? -8 What is the value of (-3 + -43 - -68) + (9 - (-3 - (-1 - 2)))? 31 What is -510 + 476 - (-22 + 0 + -26 + 31)? -17 What is (23 - (-49 - -25 - -35)) + -30 + -26? -44 Calculate 25 - ((-3 + -12 + 6 - -5 - 7) + 1). 35 (55 - 81) + -5 + 10 + -25 -46 What is the value of 100 + -53 + (-68 - -52)? 31 What is -16 + -3 - (2 + -55 - 16)? 50 Evaluate -1 + 10 + (3 - 6 - 3 - 9). -6 Calculate 1 + -4 - 3 - (-477 + 457). 14 What is the value of -40 + (-1 - 9) + (-237 + 240 - (-11 - 1))? -35 What is -423 - -368 - (-57 + -20)? 22 What is 56 + -62 + -9 + 3 + 33? 21 What is the value of 165 + (32 - 91) + -80? 26 What is the value of (19 - 38) + 80 + -3 + 13? 71 4 + -20 + (17 - (-35 - -67)) -31 What is -422 + 414 - (5 - 2 - 27)? 16 2 - 24 - (-1757 - -1789) -54 (-55 - (-20 - 1) - 22) + 33 -23 What is 23 - ((-28 - 11) + 17) - 35? 10 What is the value of -3 + 93 + (-1106 - -977)? -39 -88 - (-109 - -29) - (-37 - (2
{ "pile_set_name": "DM Mathematics" }
5, 461 What are the prime factors of 557? 557 List the prime factors of 30964. 2, 7741 List the prime factors of 8674. 2, 4337 List the prime factors of 1981. 7, 283 List the prime factors of 1133. 11, 103 List the prime factors of 33514. 2, 13, 1289 What are the prime factors of 34534? 2, 31, 557 List the prime factors of 28945. 5, 7, 827 List the prime factors of 13625. 5, 109 List the prime factors of 1581. 3, 17, 31 List the prime factors of 12247. 37, 331 What are the prime factors of 8995? 5, 7, 257 What are the prime factors of 1360? 2, 5, 17 List the prime factors of 365. 5, 73 What are the prime factors of 22324? 2, 5581 What are the prime factors of 4488? 2, 3, 11, 17 What are the prime factors of 25895? 5, 5179 What are the prime factors of 1018? 2, 509 What are the prime factors of 28608? 2, 3, 149 What are the prime factors of 30949? 30949 List the prime factors of 483. 3, 7, 23 What are the prime factors of 1498? 2, 7, 107 What are the prime factors of 2763? 3, 307 What are the prime factors of 13619? 13619 List the prime factors of 18202. 2, 19, 479 List the prime factors of 22788. 2, 3, 211 What are the prime factors of 3303? 3, 367 List the prime factors of 5154. 2, 3, 859 What are the prime factors of 34100? 2, 5, 11, 31 What are the prime factors of 14478? 2, 3, 19, 127 List the prime factors of 2034. 2, 3, 113 List the prime factors of 67884. 2, 3, 5657 What are the prime factors of 4153? 4153 What are the prime factors of 1101? 3, 367 What are the prime factors of 8369? 8369 What are the prime factors of 95523? 3, 17, 1873 List the prime factors of 33. 3, 11 List the prime factors of 2808. 2, 3, 13 List the prime factors of 3332. 2, 7, 17 List the prime factors of 54620. 2, 5, 2731 List the prime factors of 48. 2, 3 What are the prime factors of 28479? 3, 11, 863 What are the prime factors of 13745? 5, 2749 What are the prime factors of 887? 887 What are the prime factors of 6505? 5, 1301 List the prime factors of 47498. 2, 11, 17, 127 What are the prime factors of 573? 3, 191 What are the prime factors of 1822? 2, 911 What are the prime factors of 680? 2, 5, 17 What are the prime factors of 70225? 5, 53 What are the prime factors of 3481? 59 What are the prime factors of 140? 2, 5, 7 List the prime factors of 36471. 3, 12157 What are the prime factors of 53335? 5, 10667 List the prime factors of 73564. 2, 53, 347 What are the prime factors of 649? 11, 59 What are the prime factors of 430? 2, 5, 43 List the prime factors of 1413. 3, 157 What are the prime factors of 6878? 2, 19, 181 List the prime factors of 2475. 3, 5, 11 List the prime factors of 2293. 2293 What are the prime factors of 753? 3, 251 What are the prime factors of 59123? 59123 What are the prime factors of 48499? 11, 4409 List the prime factors of 35288. 2, 11, 401 List the prime factors of 36353. 36353 What are the prime factors of 1506? 2, 3, 251 List the prime factors of 21116. 2, 5279 What are the prime factors of 4944? 2, 3, 103 List the prime factors of 6832. 2, 7, 61 List the prime factors of 1305. 3, 5, 29 List the prime factors of 162. 2, 3 List the prime factors of 205. 5, 41 List the prime factors of 7518. 2, 3, 7, 179 List the prime factors of 29801. 17, 1753 What are the prime factors of 428? 2, 107 List the prime factors of 3915. 3, 5, 29 What are the prime factors of 11763? 3, 1307 What are the prime factors of 1859? 11, 13 What are the prime factors of 11013? 3, 3671 What are the prime factors of 93? 3, 31 What are the prime factors of 21502? 2, 13, 827 What are the prime factors of 12054? 2, 3, 7, 41 What are the prime factors of 1608? 2, 3, 67 What are the prime factors of 377? 13, 29 What are the prime factors of 3915? 3, 5, 29 What are the prime factors of 15756? 2, 3, 13, 101 List the prime factors of 4968. 2, 3, 23 What are the prime factors of 6467? 29, 223 What are the prime factors of 23998? 2, 13, 71 List the prime factors of 1242. 2, 3, 23 List the prime factors of 44173. 163, 271 What are the prime factors of 57695? 5, 11, 1049 What are the prime factors of 4692? 2, 3, 17, 23 What are the prime factors of 14695? 5, 2939 What are the prime factors of 2101? 11, 191 What are the prime factors of 1528? 2, 191 List the prime factors of 728. 2, 7, 13 What are the prime factors of 15824? 2, 23, 43 What are the prime factors of 16048? 2, 17, 59 List the prime factors of 18. 2, 3 List the prime factors of 1626. 2, 3, 271 List the prime factors of 370. 2, 5, 37 What are the prime factors of 12222? 2, 3, 7, 97 What are the prime factors of 50874? 2, 3, 61, 139 What are the prime factors of 46374? 2, 3, 59, 131 What are the prime factors of 485? 5, 97 What are the prime factors of 6026? 2, 23, 131 List the prime factors of 5108. 2, 1277 List the prime factors of 18615. 3, 5, 17, 73 What are the prime factors of 2281? 2281 What are the prime factors of 4642? 2, 11, 211 List the prime factors of 541. 541 What are the prime factors of 1104? 2, 3, 23 What are the prime factors of 102? 2, 3, 17 What are the prime factors of 2837? 2837 List the prime factors of 17402. 2, 7, 11, 113 List the prime factors of 2470. 2, 5, 13, 19 What are the prime factors of 544? 2, 17 List the prime factors of 14711. 47, 313 List the prime factors of 369. 3, 41 List the prime factors of 14779. 14779 List the prime factors of 17760. 2, 3, 5, 37 List the prime factors of 178. 2, 89 What are the prime factors of 79266? 2, 3, 11, 1201 What are the prime factors of 1911? 3, 7, 13 List the prime factors of 9640. 2, 5, 241 What are the prime factors of 300? 2, 3, 5 What are the prime factors of 83? 83 List the prime factors of 12416. 2, 97 What are the prime factors of 6163? 6163 What are the prime factors of 3037? 3037 List the prime factors of 615. 3, 5, 41 What are the prime factors of 19105? 5, 3821 List the prime factors of 16358. 2, 8179 What are the prime factors of 56110? 2, 5, 31, 181 What are the prime factors of 3404? 2, 23, 37 List the prime factors of 102170. 2, 5, 17, 601 What are the prime factors of 3183? 3, 1061 List the prime factors of 2021. 43, 47 List the prime factors of 6051. 3, 2017 What are the prime factors of 90? 2, 3, 5 What are the prime factors of 48692? 2, 7, 37, 47 What are the prime factors of 29708? 2, 7, 1061 List the prime factors of 650. 2, 5, 13 List the prime factors of 24852. 2, 3, 19, 109 List the prime factors of 3531. 3, 11, 107 What are the prime factors of 68887? 7, 13, 757 What are the prime factors of 7047? 3, 29 List the prime factors of 1353. 3, 11, 41 What are the prime factors of 66442? 2, 139, 239 What are the prime factors of 109788? 2, 3, 7, 1307 List the prime factors of 4210. 2, 5, 421 List the prime factors of 61426. 2, 30713 What are the prime factors of 32088? 2, 3, 7, 191 List the prime factors of 86909. 233, 373 What are the prime factors of 181182? 2, 3, 30197 List the prime factors of 3567. 3, 29, 41 List the prime factors of 344. 2, 43 List the prime factors of 1119. 3, 373 List the prime factors of 73099. 13, 5623 List the prime factors of 60519. 3, 20173 What are the prime factors of 17629? 17, 61 What are the prime factors of 3947? 3947 List the prime factors of 30773. 30773 List the prime factors of 3512. 2, 439 What are the prime factors of 791? 7, 113 List the prime factors of 4522. 2, 7, 17, 19 What are the prime factors of 1527? 3, 509 List the prime factors of 9237. 3, 3079 What are the prime factors of 48382? 2, 17, 1423 What are the prime factors of 28696? 2, 17, 211 What are the prime factors of 42? 2, 3, 7 List the prime factors of 1014. 2, 3, 13 What are the prime factors of 160639? 160639 What are the prime factors of 996? 2, 3, 83 What are the prime factors of 58238? 2, 37, 787 List the prime factors of 1400. 2, 5, 7 List the prime factors of 20477. 20477 List the prime factors of 196. 2, 7 What are the prime factors of 104142? 2, 3, 17, 1021 List the prime factors of 6678. 2, 3, 7, 53 List the prime factors of 668. 2, 167 List the prime factors of 3333. 3, 11, 101 What are the prime factors of 387? 3, 43 What are the prime factors of 1762? 2, 881 List the prime factors of 47781. 3, 5309 What are the prime factors of 2374? 2, 1187 What are the prime factors of 633? 3, 211 What are the prim
{ "pile_set_name": "DM Mathematics" }
n). Let b(k) = -1943*k**2. What is q(b(i))? -1943*i**2 Let m be 310/4*(144/45)/8. Let t(k) = 7*k - 29*k + m*k. Let r(w) = -3*w**2 - 8*w. Give r(t(n)). -243*n**2 - 72*n Let a(i) = -3 + 3 - 5*i**2. Let q(y) be the first derivative of -y**5/40 - 6*y**3 - 69. Let j(s) be the third derivative of q(s). Determine a(j(d)). -45*d**2 Let l(g) = 497*g. Let a(q) = -44094*q**2. Determine l(a(m)). -21914718*m**2 Let i(u) = -1482*u**2. Let a(m) = -855*m - 5. What is a(i(b))? 1267110*b**2 - 5 Let j(x) = 12*x**2 + 299*x - 56. Let m(b) = 9*b**2 + 298*b - 48. Let l(n) = -6*j(n) + 7*m(n). Let u(h) = 2*h. Give l(u(v)). -36*v**2 + 584*v Let s(v) = -8*v - 10*v + 4*v + 18*v - 6*v. Let k(r) = 417*r**2. Calculate k(s(b)). 1668*b**2 Let n(f) = -f**2 + 1. Let x(s) = 21*s - 28. Let b(m) = -7*m + 10. Suppose 5*w = -c + 8*w + 20, -5*w + 18 = 2*c. Let j(p) = c*b(p) + 5*x(p). Give n(j(r)). -49*r**2 + 1 Let r(d) = -d + 1. Let v(o) be the first derivative of 7*o**2/2 - 379. What is v(r(m))? -7*m + 7 Let o(m) = -3*m + 31. Let l(k) = -749*k. What is l(o(c))? 2247*c - 23219 Let d(z) be the second derivative of 11*z**4/4 - 4*z - 112. Let r(n) = 15*n + 1. Calculate d(r(h)). 7425*h**2 + 990*h + 33 Let k(s) = -5*s**2 + 4099*s. Let n(j) = -227*j - 2. Calculate k(n(g)). -257645*g**2 - 935013*g - 8218 Let a(k) = 2*k**2. Let j(x) = -49*x**2 - 16*x + 20. Let g(r) = -32*r**2 - 10*r + 13. Let n(s) = -8*g(s) + 5*j(s). Calculate n(a(m)). 44*m**4 - 4 Let y be (510/(-12) - 1)/((-1)/(-2)). Let f = y + 96. Let r(h) = 0*h + 10*h - f*h. Let t(i) = 10*i**2. Determine t(r(v)). 10*v**2 Let m(v) = 132*v**2. Let x(g) be the third derivative of g**6/360 - 101*g**3/6 + 30*g**2. Let z(h) be the first derivative of x(h). Determine m(z(o)). 132*o**4 Let d(n) = -21*n - 12*n + 6*n + 18*n. Let v(b) = 17*b**2 - b. Determine d(v(w)). -153*w**2 + 9*w Let w(o) = -4*o**2. Let p be 180/(-108) - 203/(-3). Let z(j) = -139 + p + 73 - 37*j. Determine z(w(n)). 148*n**2 Let w(s) = -2009*s + 369. Let u(v) = -33*v + 6. Let b(c) = 123*u(c) - 2*w(c). Let k(q) = -30*q**2. Calculate k(b(o)). -50430*o**2 Let p(d) = -d**2 + 3*d + 3164. Let s(t) = -226*t**2. Give p(s(h)). -51076*h**4 - 678*h**2 + 3164 Let g(j) = -3936780*j**2. Let r(q) = 13*q. Calculate g(r(m)). -665315820*m**2 Let m(y) be the first derivative of y**4/24 + 11*y**2 - 2*y - 14. Let d(f) be the second derivative of m(f). Let t(i) = -81*i + 3. Calculate d(t(b)). -81*b + 3 Let a(i) = -17*i**2. Let c = -54 + 23. Let o = c + 33. Let w(s) = 2*s**o + 519*s - 519*s. Determine w(a(r)). 578*r**4 Let n = 2871 - -2774. Let z(h) = 5645 - n - 2*h**2. Let g(u) = 2*u. Determine z(g(t)). -8*t**2 Let s(u) = -7*u. Let k(p) = -239*p + 15. Let g(m) = 477*m - 25. Let q(t) = 3*g(t) + 5*k(t). Determine q(s(f)). -1652*f Let d(k) = -3*k - 270. Let c(t) = -2*t - 162. Let b(h) = 10*c(h) - 6*d(h). Let m(z) be the second derivative of -5*z**3/6 + 2*z**2 + z. What is m(b(l))? 10*l + 4 Let v(s) be the first derivative of 7 + 0*s**2 + 0*s - 1/3*s**3. Let r(u) = 30392*u - 30392*u - 70*u**2 + 2. Determine v(r(g)). -4900*g**4 + 280*g**2 - 4 Let w(h) be the first derivative of h**4/4 - 10*h**3/3 + h**2 - 5*h - 13. Let d be w(10). Let k(n) = -15 + d - 12*n - 5*n. Let y(j) = 3*j. Calculate k(y(u)). -51*u Let l(u) = -2*u. Let w(n) = -24*n. Suppose 8*a + 5 = 3*a. Let v(z) be the third derivative of -z**4/24 + 30*z**2. Let i(q) = a*w(q) + 5*v(q). Give i(l(p)). -38*p Let l(y) = -3*y + 40. Let a be l(16). Let d(k) = 11*k + 3. Let z(p) = -32*p - 8. Let s(i) = a*d(i) - 3*z(i). Let o(v) = 5*v. Determine s(o(m)). 40*m Let q(w) = -4*w**2. Let f(l) = 6595252*l**2 + 5. Give f(q(s)). 105524032*s**4 + 5 Let l(h) be the first derivative of -5/2*h**2 + 0*h + 115. Let o(q) = -6*q. Let u(r) = 5*r. Let f(j) = -6*o(j) - 7*u(j). Determine f(l(v)). -5*v Let g(b) = 213*b + 1. Let r(z) = -51312*z**2. Give g(r(x)). -10929456*x**2 + 1 Let g(i) = -11*i**2. Let h be -8 + 19 - (-5)/(20/(-16)). Let k(q) = h*q**2 + 6*q**2 - 16*q**2 + 10*q**2. What is g(k(c))? -539*c**4 Let i(f) = -2*f**2 - 29*f + 4. Let j(l) = 15*l + 95. Give j(i(o)). -30*o**2 - 435*o + 155 Let a(s) = -215896029*s**2. Let w(r) = r. What is a(w(d))? -215896029*d**2 Let x(q) be the third derivative of -q**5/60 + 2*q**2 - 162. Let n(a) = 2202*a**2. What is n(x(w))? 2202*w**4 Let d(v) = -18*v + 15. Let s be d(1). Let h(z) = 3*z**2 + 4. Let n(r) = -2*r**2 - 3. Let l(o) = s*h(o) - 4*n(o). Let m(b) = 25*b. What is l(m(f))? -625*f**2 Let i(l) = -3*l + 12. Let w(r) = -4*r**2 + 14894*r. Give i(w(t)). 12*t**2 - 44682*t + 12 Let v(n) = 2653*n + 2688. Let i(g) = -2*g**2. Determine v(i(w)). -5306*w**2 + 2688 Let i(o) be the first derivative of 7*o**3/3 - 94634. Let j(q) = 2 - 2 - 16*q. Determine j(i(z)). -112*z**2 Let w(g) = -2*g + 559*g**2 - 569*g**2 + 2*g. Let m(t) = 6*t - 3*t + 3*t. Give w(m(v)). -360*v**2 Let i = -164 - -168. Let b(k) = 10*k + k - i*k. Let u(d) = 21*d. Calculate u(b(f)). 147*f Let m(r) = 14*r - 7. Let h(j) = -13*j + 6. Let o(z) = 7*h(z) + 6*m(z). Let p(i) = 288464 - 288464 + 8*i**2. What is o(p(d))? -56*d**2 Let n(i) = 2*i**2. Let q(r) = 35*r + 115. Let v be q(-3). Suppose 0 = -d - 2*y + 81, -2*y + 170 = -2*d + 4*d. Let k(h) = d - 89 - v*h. Calculate k(n(g)). -20*g**2 Let o(z) = -3*z**2. Let k be ((-1)/1)/(6/(-30)). Suppose -4*r - k*f + 0*f + 8 = 0, -f - 2 = -r. Let l(i) = 18*i**2 - 38*i**2 + 18*i**r. Give l(o(x)). -18*x**4 Let v(r) = -3*r**2. Let g(b) = -b**2 + 2*b + 50. Let a be g(-6). Let f(w) = -w**a + 9*w**2 + 4*w**2 - 8*w**2. What is f(v(c))? 36*c**4 Let v(j) = -3*j**2. Let c(q) = -677584*q**2 - 6. What is c(v(l))? -6098256*l**4 - 6 Let s(r) = -10*r - 12. Let z(w) = 11*w + 16. Let f(g) = 4*s(g) + 3*z(g). Suppose -5*x - 4*l - 1 + 16 = 0, 4*l = 0. Let h(o) = x*o - o + 0*o. Calculate f(h(k)). -14*k Let t(b) = 25*b. Let k = 7/773 - -353/46380. Let o(a) be the third derivative of 0*a**3 + k*a**5 + 25*a**2 + 0 + 0*a**4 + 0*a. Determine o(t(z)). 625*z**2 Let m(d) be the first derivative of d**5/120 + 4*d**3/3 - 5*d**2 - 112. Let z(l) be the third derivative of m(l). Let q(g) = 2*g**2. Determine z(q(i)). 2*i**2 Let x(h) = 45*h**2. Let v(w) be the first derivative of 0*w**2 + 0*w + 2/3*w**3 + 84. Determine v(x(j)). 4050*j**4 Let r(w) be the third derivative of 3/8*w**4 + 9*w**2 + 0*w**3 + 0 + 0*w. Let f(u) = 1110*u - 1110*u + u**2. Give r(f(d)). 9*d**2 Let n(x) = -72456*x**2 + 4. Let c(t) = 12*t - 6. What is c(n(z))? -869472*z**2 + 42 Let p(x) = 2*x. Let d(y) = -y**2 + 69*y - 258*y - 706*y - 759*y. What is d(p(g))? -4*g**2 - 3308*g Let k(z) = 4*z - 91. Let c(u) = 189281 + u**2 - 189281. Calculate k(c(s)). 4*s**2 - 91 Let c(x) = -2*x**2. Let o be (-9 - 22/11) + 14. Let r(u) be the second derivative of 16*u - 5/3*u**4 + 0*u**o + 0 + 0*u**2. Determine c(r(g)). -800*g**4 Let s(h) = -3*h**2 - 99 + 4*h**2 + 71. Let o(v) = -1974 + 2*v + 1974. Determine s(o(p)). 4*p**2 - 28 Let b(a) = -9960540*a. Let s(j) = j**2. What is s(b(d))? 99212357091600*d**2 Let a(f) = -4*f**2. Let j(x) = 7788*x + 1298. Let n(w) = -11*w - 2. Let s(o) = j(o) + 649*n(o). Give a(s(v)). -1684804*v**2 Let u = -13 - -17. Let c(z) = -1 + 3*z - u*z + 1. Let f(l) = 220*l + 202*l - 600*l + 205*l. Determine c(f(h)). -27*h Let g(a) = 530 + 3528*a + 133*a + 738*a. Let r(j) = 50*j + 6. Let z(h) = 3*g(h) - 265*r(h). Let f(q) = 3*q. What is z(f(b))? -159*b Let n(f) be the second derivative of 0 - 13*f + 1/12*f**4 + 0*f**2 + 0*f**3. Let z(a) = -4 + 14 + 19*a**2 - 10. Calculate n(z(j)). 361*j**4 Let k(t) = 2*t**2. Let r(d) be the second derivative of 103*d**4/24 + 43*d**2 - 8*d - 11. Let l(m) be the first derivative of r(m). Calculate k(l(u)). 21218*u**2 Let v(k) = 19*k**2 - 36*k - 9. Let w(c) = -2*c**2 + 4*c + 1. Let u(j) = 4*v(j) + 36*w(j). Let s(f) = -131*f - 2. Give u(s(d)). 68644*d**2 + 2096*d + 16 Let r be -4 + 16 + -18 + 5 + 1. Let n(b) be the third derivative of 0*b**3 + 0*b + 4*b**2 + r - 1/24*b**4. Let p(j) = 27*j**2. Determine p(n(i)). 27*i**2 Let y be ((-8)/(-4))/((-1)/((-3)/(-2))). Let l(w) = 2*w - 6. Let c(q) = 3*q - 10. Let m(t) = y*c(t) + 5*l(t). Let j(a) = 80 + a + a - 80. Give m(j(h)). 2*h Let l(r) = -6*r. Let o(c) = -1369*c. Let i(d) = -d**2 - 3*d + 150. Let j be i(-14). Let t(w) = -21*w. Let x(f) = j*o(f) + 259*t(f). Give x(l(a)). -222*a Let r(p) = -6*p**2 + 14*p**2 - 11*p**2 + 7*p**2 - 5*p**
{ "pile_set_name": "DM Mathematics" }
composite? True Is 56965 a composite number? True Is 140993 composite? True Is 115829 a composite number? True Is 14995 composite? True Is 6947 a prime number? True Is 439541 a composite number? False Is 3589 composite? True Is 173279 composite? True Is 3989 a composite number? False Is 73673 composite? False Is 11351 a composite number? False Is 194219 composite? True Is 106853 composite? False Is 110897 a composite number? True Is 6733 prime? True Is 253049 composite? False Is 12179 a composite number? True Is 13033 a composite number? False Is 87034 prime? False Is 107993 a composite number? True Is 1671 a composite number? True Is 1591793 a composite number? True Is 6899 prime? True Is 14051 a composite number? False Is 6217 a composite number? False Is 7709 prime? False Is 1298269 a composite number? True Is 3313715 prime? False Is 47759 a composite number? True Is 103349 prime? True Is 2913313 a composite number? True Is 1679981 prime? True Is 317911 a prime number? False Is 184477 a prime number? True Is 5260661 a prime number? False Is 1651 composite? True Is 3805463 prime? True Is 10133 prime? True Is 180731 composite? False Is 18319 composite? True Is 50767 composite? False Is 142399 a composite number? True Is 479 a prime number? True Is 3985 prime? False Is 29269 a composite number? False Is 162163 a composite number? True Is 763813 prime? False Is 56251 a prime number? False Is 4751 a prime number? True Is 231919 composite? False Is 398887 a prime number? True Is 178931 a prime number? True Is 27121 prime? False Is 10565 prime? False Is 21233 prime? False Is 105227 a prime number? True Is 50019 composite? True Is 815 composite? True Is 9311 prime? True Is 60589 prime? True Is 2569 a prime number? False Is 1657 composite? False Is 184693 a composite number? False Is 5071 a prime number? False Is 139813 prime? True Is 142757 a prime number? True Is 6743 a prime number? False Is 76951 composite? True Is 47113 a composite number? True Is 80573 a composite number? True Is 73643 a prime number? True Is 41357 a composite number? False Is 379 a composite number? False Is 5381 a prime number? True Is 14411 a composite number? False Is 184517 a composite number? False Is 4699 prime? False Is 9649 a prime number? True Is 83137 prime? True Is 10427 composite? False Is 428783 prime? False Is 3319 prime? True Is 39901 a prime number? True Is 38723 composite? False Is 11887 prime? True Is 134065 a prime number? False Is 5631 prime? False Is 10231 a composite number? True Is 66337 a composite number? False Is 52463 composite? True Is 335549 prime? False Is 17621 a prime number? False Is 14503 composite? False Is 388651 composite? False Is 507671 composite? True Is 745 a composite number? True Is 70393 prime? True Is 27539 composite? False Is 124561 a composite number? False Is 9983 a composite number? True Is 15299 prime? True Is 13911 prime? False Is 1243 prime? False Is 19369 composite? True Is 67171 a prime number? False Is 12109367 a composite number? False Is 714377 composite? False Is 11787 prime? False Is 8482 prime? False Is 1293 prime? False Is 19031 a composite number? False Is 169049 prime? True Is 518933 composite? False Is 13323 prime? False Is 461507 prime? True Is 5323 prime? True Is 536531 a prime number? True Is 15783 composite? True Is 20477 a composite number? False Is 2059253 prime? False Is 7604471 composite? True Is 27479 a composite number? False Is 2503 composite? False Is 34837 composite? True Is 145571 a prime number? False Is 2201683 a composite number? True Is 374203 composite? False Is 25457 composite? False Is 9109 prime? True Is 238099 a composite number? False Is 24754 a composite number? True Is 39079 prime? True Is 919157 a prime number? False Is 63905 prime? False Is 50119 prime? True Is 11485 composite? True Is 7817 prime? True Is 23979 prime? False Is 115649 composite? True Is 176623 a prime number? False Is 56453 composite? False Is 158141 composite? False Is 295111 composite? False Is 78707 a prime number? True Is 54647 prime? True Is 92122 a composite number? True Is 100131 a prime number? False Is 39761 prime? True Is 2874673 prime? True Is 164779 a composite number? True Is 364937 a prime number? True Is 33049 prime? True Is 555323 composite? True Is 889 composite? True Is 1627985 composite? True Is 142267 a composite number? True Is 33827 prime? True Is 9287 a composite number? True Is 348547 composite? False Is 9931 prime? True Is 75667 a prime number? False Is 55849 prime? True Is 24323 a prime number? False Is 3746329 a composite number? False Is 3696619 prime? True Is 2037689 a prime number? True Is 8501 composite? False Is 7789 composite? False Is 39677 a prime number? False Is 192929 a prime number? False Is 4835 composite? True Is 65257 a composite number? False Is 152363 a prime number? True Is 225023 a composite number? False Is 26029 a composite number? False Is 11311 a prime number? True Is 2444687 a composite number? True Is 1559 a prime number? True Is 102281 a composite number? True Is 122777 a composite number? False Is 43311 a composite number? True Is 29243 prime? True Is 494023 composite? False Is 3133 a prime number? False Is 107563 a prime number? True Is 171781 a composite number? True Is 2881 a prime number? False Is 9973 prime? True Is 389417 a prime number? False Is 52985 prime? False Is 4267 a prime number? False Is 340007 a composite number? False Is 3847037 a composite number? False Is 5437 a prime number? True Is 7789 prime? True Is 53923 composite? False Is 9587 composite? False Is 20413 prime? False Is 13045 composite? True Is 6247 a composite number? False Is 218851 prime? False Is 33017 a prime number? False Is 5771 prime? False Is 868631 a prime number? False Is 1985 composite? True Is 1927 prime? False Is 4721 prime? True Is 27239 prime? True Is 3659 a prime number? True Is 465019 composite? False Is 3977 composite? True Is 90547 a prime number? True Is 22613 a prime number? True Is 18019 composite? True Is 2900119 a prime number? True Is 24029 prime? True Is 543 a composite number? True Is 26797 a prime number? False Is 144962 prime? False Is 12147 composite? True Is 196067 a prime number? False Is 1933507 a composite number? True Is 581447 composite? False Is 163369 composite? True Is 631 prime? True Is 29473 a prime number? True Is 797 composite? False Is 67955 composite? True Is 307817 a prime number? True Is 16495 a composite number? True Is 34585 prime? False Is 54779 a composite number? False Is 342593 prime? True Is 31621 a composite number? True Is 4281 a prime number? False Is 36922 a prime number? False Is 202534 prime? False Is 24935 a composite number? True Is 5981 composite? False Is 98203 a prime number? False Is 51857 composite? True Is 580238 prime? False Is 187843 a prime number? True Is 1549495 composite? True Is 3646 composite? True Is 1612391 a composite number? True Is 70289 composite? False Is 684407 a prime number? True Is 24883 composite? True Is 4861 a prime number? True Is 22611 a prime number? False Is 354847 a composite number? False Is 5623 a composite number? False Is 368351 prime? False Is 107231 a prime number? False Is 765295 a composite number? True Is 4391153 a prime number? False Is 493567 prime? True Is 169051 a composite number? True Is 28201 a prime number? True Is 223 composite? False Is 5583 prime? False Is 81115 prime? False Is 19237 prime? True Is 83 a prime number? True Is 163819 a prime number? True Is 1693249 composite? False Is 1693 a prime number? True Is 65497 composite? False Is 798731 a prime number? False Is 143909 a prime number? True Is 598843 composite? True Is 86971 a prime number? False Is 31957 composite? False Is 477461 composite? False Is 90299 composite? True Is 10903 prime? True Is 565427 composite? False Is 1133 composite? True Is 433451 composite? True Is 21077 a prime number? False Is 4859 a prime number? False Is 339 composite? True Is 133645 composite? True Is 3499 composite? False Is 124237 a prime number? False Is 1411271 a composite number? False Is 1438379 composite? False Is 300463 prime? True Is 521 a prime number? True Is 10793 composite? True Is 1087 composite? False Is 82421 composite? Fals
{ "pile_set_name": "DM Mathematics" }
*z + 32606. What is u(6)? 20 Let z(o) = -23*o**2 - 861*o - 3346. What is z(-33)? 20 Let a(y) = 94*y**2 + 213*y - 817. Give a(-4). -165 Let d(y) = -349*y - 8673. Calculate d(-27). 750 Let r(h) = -5*h**2 + 76*h - 2. Give r(16). -66 Let l(j) = -6*j**3 + 2485*j**2 - 5349*j - 2912. Give l(412). -28 Let z(o) = -o**3 - 76*o**2 - 812*o + 459. Calculate z(-63). 18 Let f(y) = -y**3 + 68*y**2 - 962*y + 61. What is f(48)? -35 Let u(h) = h**3 + 627*h**2 - 1589*h - 208209. Determine u(-629). -10 Let t(r) = r**3 - 28*r**2 - 17*r + 105. Give t(29). 453 Let q(p) = -3*p**3 - 5*p**2 + 3934*p + 427. Determine q(-37). -17 Let d(g) = -733*g - 118460. Give d(-162). 286 Let u(d) = -55*d**2 - 992*d - 115. Calculate u(-18). -79 Let f(p) = -p**3 - 134*p**2 - 1395*p + 1. Give f(-12). -827 Let i(x) = 8535*x - 2159369. Determine i(253). -14 Let t(f) = 4*f**2 + 101*f + 2052. Determine t(-21). 1695 Let s(r) = r**3 + 42*r**2 - 103*r + 298. Determine s(-44). 958 Let y(m) = m**2 - 2251*m - 487561. What is y(-199)? -11 Let f(n) = -2*n**3 - 6*n**2 - 16*n - 48. What is f(-4)? 48 Let m(b) = -1180773*b + 5903873. What is m(5)? 8 Let u(o) = -4*o**2 - 1371*o + 408494. Determine u(-534). -16 Let p(f) = -3*f**2 - 154*f - 1321. Determine p(-41). -50 Let v(n) = -7*n**3 - 258*n**2 - 250*n + 4. Give v(-1). 3 Let c(u) = -11*u**2 + u - 9. Give c(0). -9 Let u(y) = -y**3 + 106*y**2 - 406*y - 594. Calculate u(102). -390 Let r(y) = -1188*y**2 - 55*y - 29. What is r(1)? -1272 Let t(a) = a**3 + 113*a**2 - 721*a - 29598. Give t(-117). 3 Let y(j) = 2*j**3 - 22*j**2 + 38789*j - 465753. Determine y(12). 3 Let r(n) = -n**3 + 8*n**2 + 2271*n - 18189. What is r(8)? -21 Let v(s) = -5*s**3 - 138*s**2 + 1290*s - 19. Give v(9). -3232 Let w(n) = 2*n**3 + 112*n**2 + 146*n + 8265. Give w(-56). 89 Let u(a) = -a**2 + 9799*a + 9813. Give u(-1). 13 Let f(n) = -12*n**2 - 28*n + 80. Determine f(-13). -1584 Let k(y) = -2*y**3 - 233*y**2 + 378*y + 2817. Give k(-118). -15 Let r(u) = -418*u**2 - 29969*u + 29966. Give r(1). -421 Let n(x) = 870*x + 2693. What is n(-3)? 83 Let x(k) = -7*k**3 - 193*k**2 - 107*k + 90. Determine x(-27). 63 Let c(i) = 75*i**2 - 269*i + 528. What is c(2)? 290 Let n(u) = -672*u - 763. Give n(-3). 1253 Let m(g) = 333*g - 1736. Give m(0). -1736 Let v(m) = -11928*m + 417515. Determine v(35). 35 Let y(s) = 709*s + 694. What is y(0)? 694 Let w(s) = -9*s**3 + 180*s**2 - 125*s + 35. What is w(19)? 909 Let v(j) = -j**3 - 156*j**2 - 5688*j + 22. What is v(-58)? 254 Let u(d) = 1994*d + 428716. Determine u(-215). 6 Let x(w) = 239*w + 11618. What is x(-50)? -332 Let x(p) = -7*p**3 - 5*p**2 - 193*p - 497. Give x(-3). 226 Let p(f) = 2*f**3 + 62*f**2 - 2191*f - 355. What is p(-52)? 9 Let j(g) = g**2 - 879*g - 4420. What is j(-5)? 0 Let q(x) = -x**3 - 273*x**2 + 1013*x + 51105. What is q(-276)? 45 Let f(h) = -3*h**3 + 269*h**2 + 84*h + 97. What is f(90)? -443 Let q(f) = -f**3 + 22*f**2 + 542*f + 326. What is q(37)? -155 Let v(r) = -1991*r**2 - 83745*r - 5160. Determine v(-42). 6 Let n(s) = -96*s**2 - 6932*s - 1444. What is n(-72)? -4 Let g(r) = r**3 + 13*r**2 + 14403*r + 172689. Determine g(-12). -3 Let m(s) = 716*s + 208552. Determine m(-291). 196 Let w(o) = -5*o**2 - 13177*o + 105720. What is w(8)? -16 Let b(m) = m**3 + 29*m**2 + 167*m + 173. Give b(-6). -1 Let j(q) = 3*q**2 - 2645*q + 38919. Calculate j(15). -81 Let z(v) = 221*v**2 - 5982*v + 53. What is z(27)? -352 Let d(u) = -14485841*u - 4. Calculate d(0). -4 Let x(d) = -9*d**3 - 2*d**2 - 9. What is x(6)? -2025 Let n(t) = -t**3 - 175*t**2 + 800*t + 14999. Determine n(-179). -37 Let x(l) = l**2 + 74*l + 911. What is x(-59)? 26 Let t(o) = -o**3 - 30*o**2 - 45*o + 1445. Calculate t(-26). -89 Let g(j) = -j**3 + 80*j**2 - 1436*j - 1114. Calculate g(52). -74 Let m(k) = k**3 + 235*k**2 - 51*k - 11937. What is m(-235)? 48 Let j(v) = -5916*v - 53253. Calculate j(-9). -9 Let d(s) = -70744*s + 9408958. Give d(133). 6 Let t(v) = -721*v + 26662. Determine t(38). -736 Let o(d) = 5134*d - 5082. What is o(1)? 52 Let o(u) = 1339*u - 144657. Determine o(108). -45 Let s(i) = 80*i**3 - 718*i**2 + 9*i - 278. What is s(9)? -35 Let y(n) = -148*n**3 + 12582*n**2 - 164*n - 349. What is y(85)? 161 Let f(u) = -159*u**2 + 20010*u - 16865. Determine f(125). 10 Let v(f) = 1964*f + 1057. Calculate v(-1). -907 Let l(d) = -2*d**2 + 4271*d - 852961. Calculate l(223). 14 Let m(h) = -2*h**3 + 92*h**2 - 152*h + 336. Calculate m(44). 1392 Let h(a) = -a**2 + 3236*a - 418626. Give h(135). 9 Let i(r) = -1339*r - 337377. Give i(-252). 51 Let n(p) = -3026*p + 1273936. Calculate n(421). -10 Let z(g) = 10078*g - 2096242. Calculate z(208). -18 Let x(y) = 12*y**3 + 2315*y**2 - 196*y + 288. Determine x(-193). 867 Let r(p) = 967*p - 6986. What is r(7)? -217 Let k(m) = -m**3 - 2*m**2 - 88*m - 141. Give k(-6). 531 Let n(o) = 3*o**2 + 255*o - 21817. Determine n(-138). 125 Let l(q) = 42*q**2 - 18103*q + 54296. Determine l(3). 365 Let o(b) = -467*b - 134487. Calculate o(-288). 9 Let z(m) = -2050*m - 8232. What is z(-4)? -32 Let s(q) = 14*q**3 - 184*q**2 - 14*q - 2. What is s(12)? -2474 Let h(o) = 11*o**2 - 3136*o + 24390. Determine h(8). 6 Let t(y) = y**2 - 14642*y + 10589673. Calculate t(763). -4 Let o(k) = -2*k**3 + 53*k**2 + 354*k + 7. Calculate o(-6). 223 Let i(j) = 4*j**3 - 22*j**2 + 1621*j - 6283. What is i(4)? 105 Let w(o) = 35690*o - 5853172. Calculate w(164). -12 Let u(h) = -h**3 - 208*h**2 - 399*h + 2286. Calculate u(-206). -392 Let r(w) = 458*w**2 + 617*w + 615. Calculate r(-1). 456 Let a(m) = -8*m**2 - 7515*m + 75944. Determine a(10). -6 Let j(y) = -1076*y - 4506. Give j(-4). -202 Let g(h) = -5418*h + 151801. What is g(28)? 97 Let w(t) = 176*t**2 + 2628*t - 85. Determine w(-15). 95 Let v(o) = -30*o**2 + 419*o - 189. Determine v(14). -203 Let o(r) = -204*r + 25094. Give o(123). 2 Let u(h) = -9*h**2 - 1086*h - 8727. What is u(-112)? 9 Let j(q) = -746423*q - 4478538. Determine j(-6). 0 Let r(a) = 5761*a + 236171. What is r(-41)? -30 Let c(n) = -2*n**2 + 199104*n + 1194677. What is c(-6)? -19 Let p(f) = -f**3 + 124*f**2 - 652*f + 20636. Calculate p(120). -4 Let l(z) = z**3 + 108*z**2 + 63*z - 4781. Determine l(-107). -73 Let r(k) = -429039*k - 6006540. What is r(-14)? 6 Let z(s) = -173*s + 19819. Calculate z(111). 616 Let j(v) = v**2 - 1999*v + 116420. Calculate j(60). 80 Let h(s) = 182159*s + 19308845. Give h(-106). -9 Let p(n) = 933*n**2 - 50389*n + 392. Give p(54). 14 Let l(g) = -g**2 + 734*g - 15683. Determine l(22). -19 Let r(k) = 274*k**2 - 24315*k - 6452. Determine r(89). -133 Let w(c) = 27*c**3 - 1432*c**2 + 41*c + 204. Give w(53). -432 Let y(g) = 17345*g - 9921343. Give y(572). -3 Let n(r) = -r**2 + 3130*r - 458301. What is n(154)? 3 Let n(b) = 498*b - 25206. Determine n(51). 192 Let x(d) = -33*d + 381. Calculate x(-12). 777 Let g(l) = -244*l**2 + 23671*l - 303. Determine g(97). -12 Let y(h) = h**2 + 545*h - 312993. What is y(350)? 257 Let q(l) = -33779*l + 9. Determine q(0). 9 Let l(o) = 77*o**2 + 288*o + 473. Calculate l(-2). 205 Let q(y) = -23*y**2 - 26185*y - 194501. What is q(-1131)? 31 Let q(r) = -2*r**3 + 197*r**2 + 264*r - 71435. Calculate q(96). -11 Let a(x) = 2*x**3 + 2*x**2 + 8*x + 13. Determine a(-2). -11 Let a(s) = 2*s**2 - 413*s - 30837. Determine a(265). 168 Let z(p) = -71*p - 12912. Calculate z(-166). -1126 Let k(j) = 10*j**2 - 433*j + 3938. What is k(31)? 125 Let b(d) = 19*d**3 + 104*d**2 + 133*d + 118. Determine b(-4). 34 Let h(b) = -707*b + 8121. Give h(11). 344 Let u(h) = 235*h - 7964. What is u(32)? -444 Let u(j) = -13287*j - 6696634. Calculate u(-504). 14 Let c(s) = -1930*s + 30987. Determine c(16). 107 Let w(h) = -h**2 - 816250*h - 6529942. Give w(-8). -6 Let q(n) = 3*n**3 - 114*n**2 - 156*n + 1546. What is q(39)? 25 Let d(k) = 510*k + 4588. Give d(-9). -2 Let v(h) = 9*h**3 - 41*h**2 + 36*h - 271. Calculate v(7). 1059 Let i(k) = 12849*k - 1259264. Calculate i(98). -62 Let p(f) = -8*f**2 - 15186*f + 75976. What is p(5)? -154 Let t(m) = -11*m**3 - 17*m**2 - 25*m. Calculate t(-6). 1914 Let d(b) = -454107*b - 6811596. What is d(-15)? 9 Let j(z) = -z**3 - 565*z**2 + 10169*z + 160056. Give j(-582). 6 Let q(u) = -u**3 - 445*u**2 + 4522*u + 219. Determine q(10). -61 Let n(z) = 8500*z**2 - 280503*z + 66. Calculate n(33). -33 Let d(h) = -2*h**3 + 81*h**2 + 278*h - 12735. Dete
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {u: 1, i: 1, w: 6, a: 1, q: 1, b: 3}. Give prob of picking 1 u and 1 a. 1/78 What is prob of picking 2 l and 1 u when three letters picked without replacement from {y: 1, u: 4, f: 5, l: 1}? 0 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from hrhhrrhhhrrrrrhrhhrr. 99/190 Three letters picked without replacement from {n: 1, g: 6, p: 6, t: 2, a: 3, v: 2}. What is prob of picking 2 v and 1 t? 1/570 Two letters picked without replacement from qmbcbmmqqmhbqm. Give prob of picking 1 h and 1 b. 3/91 Four letters picked without replacement from pycitcpiysppss. What is prob of picking 2 i, 1 p, and 1 t? 4/1001 Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {l: 4, w: 2, h: 4, y: 1, j: 5}. 1/6 What is prob of picking 1 q and 1 o when two letters picked without replacement from vvoq? 1/6 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from upbri. 1/10 Three letters picked without replacement from {g: 2, e: 4, n: 12, p: 2}. What is prob of picking 1 e and 2 n? 22/95 Three letters picked without replacement from {n: 1, i: 2, u: 12, b: 1, h: 2}. Give prob of picking 2 u and 1 i. 11/68 Three letters picked without replacement from {d: 6, q: 13}. What is prob of picking 3 q? 286/969 Three letters picked without replacement from gggteeggootogegggog. What is prob of picking 1 g and 2 t? 10/969 Two letters picked without replacement from {v: 11, f: 1, p: 3}. What is prob of picking 2 v? 11/21 Calculate prob of picking 2 g when two letters picked without replacement from lgllllglgg. 2/15 Three letters picked without replacement from aaggaagggggaqga. Give prob of picking 1 q, 1 g, and 1 a. 48/455 Calculate prob of picking 1 p and 2 g when three letters picked without replacement from wugqgpwgqq. 1/40 Two letters picked without replacement from {f: 10}. What is prob of picking 2 f? 1 What is prob of picking 2 t and 1 j when three letters picked without replacement from {l: 4, t: 10, g: 1, j: 5}? 15/76 What is prob of picking 1 b and 2 y when three letters picked without replacement from iyiydyybdbiditbji? 9/340 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {f: 2, v: 3, c: 1, r: 1, i: 6}. 1/39 Two letters picked without replacement from {g: 1, q: 3, j: 1, x: 1, v: 3, t: 2}. What is prob of picking 1 v and 1 q? 9/55 Four letters picked without replacement from raarrarararaaara. Give prob of picking 3 r and 1 a. 9/52 What is prob of picking 3 x and 1 m when four letters picked without replacement from ssmssmmsmmxxemexmmue? 8/4845 Calculate prob of picking 2 i and 1 e when three letters picked without replacement from eeeieeii. 15/56 Calculate prob of picking 1 x and 2 a when three letters picked without replacement from {x: 7, t: 1, e: 4, a: 3, d: 1, w: 4}. 7/380 Three letters picked without replacement from aagjyagjyaaaaay. Give prob of picking 1 a and 2 g. 8/455 Two letters picked without replacement from jvimmxivmivxvi. What is prob of picking 1 m and 1 i? 12/91 Four letters picked without replacement from ilxlvqvlqlqvqlvlnxqx. Give prob of picking 1 l, 2 x, and 1 n. 6/1615 What is prob of picking 1 i and 2 x when three letters picked without replacement from {o: 4, i: 3, d: 2, x: 2}? 1/55 What is prob of picking 1 k and 1 i when two letters picked without replacement from vkxkgivkkkxkxi? 12/91 Three letters picked without replacement from xrrrdxdr. What is prob of picking 2 r and 1 x? 3/14 Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 7, k: 1}. 1/4 Three letters picked without replacement from dwdodhj. What is prob of picking 2 d and 1 j? 3/35 What is prob of picking 1 k, 1 l, 1 y, and 1 j when four letters picked without replacement from {l: 1, j: 1, c: 2, k: 2, y: 4}? 4/105 What is prob of picking 1 c, 2 y, and 1 d when four letters picked without replacement from fddfdfhcyhyyddcd? 9/455 Two letters picked without replacement from {n: 4, o: 3, l: 2, x: 8}. What is prob of picking 1 o and 1 n? 3/34 Two letters picked without replacement from {h: 1, b: 2, y: 2, f: 1, l: 1}. What is prob of picking 2 b? 1/21 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from rrrzrvfjdfrvz. 5/39 Calculate prob of picking 2 s when two letters picked without replacement from ssdqqqsgqdsssdqqmssd. 14/95 Two letters picked without replacement from nnollollnnnuololn. What is prob of picking 1 o and 1 l? 3/17 Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {t: 7, r: 1, m: 6}. 6/91 Calculate prob of picking 2 c when two letters picked without replacement from {a: 1, f: 1, h: 1, y: 2, c: 8, l: 1}. 4/13 Three letters picked without replacement from pptpptppptpppppppp. What is prob of picking 3 t? 1/816 Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 1, z: 4, b: 1, t: 2, j: 1}. 1/36 Three letters picked without replacement from xxxyyxyxyxyyyyxxxyy. What is prob of picking 1 y and 2 x? 120/323 What is prob of picking 2 w when two letters picked without replacement from zzwzzwzzzzzwzwwzzz? 10/153 Three letters picked without replacement from {e: 2, p: 2, h: 2, c: 2}. What is prob of picking 2 h and 1 c? 1/28 What is prob of picking 3 c when three letters picked without replacement from ccdccccddd? 1/6 What is prob of picking 2 a, 1 o, and 1 j when four letters picked without replacement from {a: 2, j: 3, o: 3}? 9/70 Four letters picked without replacement from jjejjjeejeeej. What is prob of picking 1 e and 3 j? 42/143 Calculate prob of picking 2 q and 1 s when three letters picked without replacement from zssqzzssqzsq. 3/44 Two letters picked without replacement from rzkzkxme. Give prob of picking 1 m and 1 k. 1/14 Four letters picked without replacement from wznwnz. What is prob of picking 2 z and 2 w? 1/15 Four letters picked without replacement from {e: 2, v: 2, w: 6, h: 4, a: 1}. What is prob of picking 2 e, 1 h, and 1 a? 4/1365 Four letters picked without replacement from {a: 7, y: 7, u: 2}. Give prob of picking 4 a. 1/52 Four letters picked without replacement from {v: 1, l: 19}. Give prob of picking 1 v and 3 l. 1/5 Two letters picked without replacement from fnkkfnkdknnfmm. Give prob of picking 1 n and 1 f. 12/91 Three letters picked without replacement from jfbbbjx. What is prob of picking 1 x and 2 b? 3/35 What is prob of picking 1 c and 3 i when four letters picked without replacement from {c: 3, i: 3}? 1/5 Three letters picked without replacement from {k: 1, d: 12}. Give prob of picking 3 d. 10/13 Two letters picked without replacement from {l: 1, b: 7, j: 1, g: 4}. Give prob of picking 1 b and 1 l. 7/78 What is prob of picking 1 m and 3 j when four letters picked without replacement from {j: 3, g: 2, m: 7}? 7/495 Four letters picked without replacement from {y: 4, z: 1, e: 6}. Give prob of picking 3 y and 1 z. 2/165 Two letters picked without replacement from ogiidilggccicc. What is prob of picking 2 i? 6/91 Calculate prob of picking 1 m and 1 y when two letters picked without replacement from myymymymayammmmmmy. 20/51 Four letters picked without replacement from {v: 1, p: 1, j: 2}. Give prob of picking 1 j and 3 p. 0 Calculate prob of picking 1 v, 1 c, and 2 i when four letters picked without replacement from vcibvvbbiiv. 2/55 What is prob of picking 2 r, 1 l, and 1 m when four letters picked without replacement from {r: 2, l: 2, p: 1, f: 4, y: 2, m: 1}? 2/495 Three letters picked without replacement from jjwjjjw. What is prob of picking 1 w and 2 j? 4/7 Four letters picked without replacement from {m: 4, s: 6, x: 1, l: 2, v: 1, c: 4}. Give prob of picking 1 x and 3 m. 1/765 Calculate prob of picking 2 a when two letters picked without replacement from auuauuuuuuuaau. 6/91 Three letters picked without replacement from {b: 1, i: 13, l: 1}. What is prob of picking 1 b and 2 i? 6/35 Four letters picked without replacement from xrqerzox. Give prob of picking 1 o, 1 r, and 2 x. 1/35 Three letters picked without replacement from {w: 14, m: 1, u: 1}. Give prob of picking 2 w and 1 u. 13/80 Two letters picked without replacement from {b:
{ "pile_set_name": "DM Mathematics" }
3362*f**3/11 + 3412*f**2/11 - 13448*f/11 - 13488/11 = 0. -2, -1, 2, 1686/5 Let -6*a**4/5 - 502*a**3/5 + 33744*a**2/5 + 1477192*a/5 - 496128/5 = 0. What is a? -114, -34, 1/3, 64 Suppose -3*i**2/4 + 6915*i/4 + 658971/2 = 0. Calculate i. -177, 2482 Let -4*m**2 - 4267276*m - 8534536 = 0. Calculate m. -1066817, -2 Find b, given that 5*b**5 - 830*b**4 + 22950*b**3 + 905900*b**2 - 31846955*b - 32729070 = 0. -33, -1, 41, 118 Solve -z**2 - 16686544*z - 69610187665984 = 0. -8343272 What is j in -4*j**4 - 2268*j**3 - 44160*j**2 - 218800*j = 0? -547, -10, 0 Suppose t**4/4 - 1893601*t**3/2 + 7574401*t**2/4 - 946800*t = 0. What is t? 0, 1, 3787200 Let 2*i**4/3 - 5840*i**3/3 - 40966*i**2/3 - 11708*i = 0. What is i? -6, -1, 0, 2927 Find i, given that 28*i**4/3 + 1204036*i**3/3 - 16759008*i**2 - 120521104*i/3 - 30302272/3 = 0. -43043, -2, -2/7, 44 Suppose 4*j**3 - 5834832*j**2 + 2127834864084*j - 4255646388872 = 0. Calculate j. 2, 729353 Determine a, given that 2*a**3/7 - 32094*a**2/7 + 4540*a + 5006352/7 = 0. -12, 13, 16046 Factor k**3/2 + 17365*k**2/2 + 242816*k + 1699026. (k + 14)**2*(k + 17337)/2 Find n such that 2*n**2/9 + 10029716*n/9 - 10029722/3 = 0. -5014861, 3 Factor -j**2/5 + 4938*j/5 + 154039/5. -(j - 4969)*(j + 31)/5 Find z, given that 6241*z**3 + 19248745*z**2 + 14851559448*z + 14832316944 = 0. -121788/79, -1 Find k, given that -2*k**4/9 + 464*k**3/9 + 16286*k**2/3 + 120120*k = 0. -44, -39, 0, 315 Factor -b**3/3 - 9440*b**2/3 - 9220336*b - 7867356288. -(b + 1496)*(b + 3972)**2/3 Factor -5*i**3 + 69770*i**2 - 40903485*i + 6127332660. -5*(i - 13348)*(i - 303)**2 Factor -5*x**3 + 24212370*x**2. -5*x**2*(x - 4842474) Solve 2*g**4 + 48482*g**3 + 1307704*g**2 + 3583768*g + 2324544 = 0. -24214, -24, -2, -1 Determine j so that 4*j**4 - 19308*j**3 - 135384*j**2 + 154688*j = 0. -8, 0, 1, 4834 Factor 4*x**2 + 164475472*x + 1690761305601424. 4*(x + 20559434)**2 Determine d, given that 438048*d**4 + 100333584*d**3 - 1042218910*d**2 - 49159462*d - 578380 = 0. -239, -11/468, 10 Let 24*a**3 + 139059*a**2 + 850971*a + 781380 = 0. What is a? -5788, -5, -9/8 Let -2*l**3 + 9962*l**2 - 680152*l + 11277952 = 0. What is l? 28, 41, 4912 Factor 2*b**3 + 895882*b**2 - 1791778*b - 2687658. 2*(b - 3)*(b + 1)*(b + 447943) Suppose 2*l**3/7 - 16218*l**2/7 + 2231598*l/7 - 2215382/7 = 0. What is l? 1, 139, 7969 Find l such that 64516*l**4 - 17930368*l**3 + 506457812*l**2 + 39961960*l + 787200 = 0. -5/127, 32, 246 Factor 2*s**2/7 - 3450*s/7 - 258768/7. 2*(s - 1797)*(s + 72)/7 Factor -5*y**2/2 - 249042*y + 99617/2. -(y + 99617)*(5*y - 1)/2 Factor 2*q**3/13 - 1270*q**2/13 - 7000*q. 2*q*(q - 700)*(q + 65)/13 Suppose -o**2/9 - 47365*o/3 - 994224 = 0. What is o? -142032, -63 Solve -22*q**3/13 - 532438*q**2/13 - 6241256*q/13 - 5708840/13 = 0. -24190, -118/11, -1 Solve -2*c**3/9 - 310*c**2/9 + 3362*c/9 + 1085590/9 = 0 for c. -139, -71, 55 Factor 2254*m**2/5 + 36426*m/5 + 127952/5. 2*(m + 11)*(1127*m + 5816)/5 Find g such that -2*g**4 - 528*g**3 - 33010*g**2 + 109236*g + 346320 = 0. -156, -111, -2, 5 Determine d so that -4*d**4 - 87964*d**3 - 488525708*d**2 - 53867617796*d + 1200446385072 = 0. -10939, -132, 19 Factor -4*c**2 + 18044*c + 1900968. -4*(c - 4614)*(c + 103) Suppose 5862*l**2 + 4484433*l + 2295 = 0. What is l? -765, -1/1954 Let -5*l**2 - 1292825*l + 2585670 = 0. Calculate l. -258567, 2 Solve -4*o**2 - 21576*o - 19323360 = 0 for o. -4260, -1134 Find k, given that k**5/6 - 305*k**4/6 - 418*k**3 + 610*k**2/3 + 5008*k/3 = 0. -8, -2, 0, 2, 313 Solve -2*h**2/9 - 25246*h/9 - 1081880/9 = 0 for h. -12580, -43 Let -37*b**3/9 - 42583*b**2/9 - 37946*b/9 + 4600/9 = 0. What is b? -1150, -1, 4/37 Factor -5*y**2/2 - 25168240*y - 63344030469760. -5*(y + 5033648)**2/2 Suppose -2*w**4 - 67196*w**3 - 585505922*w**2 - 354343322880*w - 55614963916800 = 0. What is w? -16479, -320 Solve n**2/10 + 301446*n/5 - 11455309/10 = 0 for n. -602911, 19 Find m such that -5*m**5 - 2220*m**4 - 159365*m**3 - 1929990*m**2 + 4346980*m - 2255400 = 0. -358, -70, -18, 1 Find g such that -2*g**3 - 328740*g**2 - 2629816*g - 3944688 = 0. -164362, -6, -2 Find w such that -4*w**3/7 + 286500*w**2/7 - 23472828*w/7 + 481055132/7 = 0. 41, 71543 Factor -3*u**2/7 + 18326874*u/7 - 5236248. -3*(u - 6108956)*(u - 2)/7 Factor 5*m**4 + 64745*m**3 + 279869850*m**2 + 405609143500*m + 7605984145000. 5*(m + 19)*(m + 4310)**3 Solve -50*l**3 + 31940*l**2 - 25528*l + 5104 = 0. 2/5, 638 Determine j, given that 4*j**5 - 932*j**4 + 210469*j**3/4 + 1573559*j**2/8 - 210485*j/4 - 1566103/8 = 0. -7/2, -1, 1, 473/4 Let -35*d**3 + 1735*d**2 + 4480*d - 3120 = 0. What is d? -3, 4/7, 52 Suppose 160*x**4 + 7350580*x**3 + 918805*x**2 - 689115*x = 0. Calculate x. -45941, -3/8, 0, 1/4 Factor -5*a**2 + 41515*a + 2340520. -5*(a - 8359)*(a + 56) Solve g**2/8 + 1605*g/8 + 200725/4 = 0. -1295, -310 Solve 2*v**5/9 + 40*v**4/9 - 3102*v**3 + 873820*v**2/9 + 11099600*v/9 + 6160000/3 = 0. -140, -8, -2, 55, 75 Find q, given that 20*q**5 - 4520*q**4 + 8925*q**3 + 1006965*q**2 - 3020625*q + 2257875 = 0. -15, 3/2, 15, 223 Let 2*j**4 + 7158*j**3 - 216194*j**2 + 1248162*j - 1992168 = 0. Calculate j. -3609, 3, 4, 23 Find c, given that -5*c**4 + 325*c**3 + 35060*c**2 - 143980*c + 145200 = 0. -60, 2, 121 Find x, given that 2*x**3 - 42660554*x**2 + 227490379778640*x - 227490337118088 = 0. 1, 10665138 Let 58*x**5/3 + 10300*x**4/9 - 41354*x**3/9 + 23144*x**2/9 + 60152*x/9 - 5824 = 0. What is x? -63, -104/87, 1, 2 Solve -3*w**3/5 - 19290*w**2 + 2509521*w/5 - 6660432/5 = 0 for w. -32176, 3, 23 Factor 2*b**3 + 81662*b**2 - 81688*b - 979968. 2*(b - 4)*(b + 3)*(b + 40832) Let 3*w**3/4 + 1283517*w**2/4 - 3*w/4 - 1283517/4 = 0. Calculate w. -427839, -1, 1 Solve 841*u**5/5 - 7163*u**4/5 + 7786*u**3/5 + 28276*u**2/5 - 8920*u + 1504/5 = 0. -2, 1/29, 2, 188/29 Find v such that 8*v**5/5 + 306199*v**4/5 + 586013214*v**3 + 2563573383*v**2/5 = 0. -19137, -7/8, 0 Factor x**4 + 819*x**3 + 117788*x**2 - 2691360*x. x*(x - 20)*(x + 216)*(x + 623) Factor -2*g**2/3 - 9227194*g/3 - 9227192/3. -2*(g + 1)*(g + 4613596)/3 Suppose 396496*d**5 - 10110680*d**4 - 15759900*d**3 - 7978210*d**2 - 1337530*d + 108 = 0. What is d? -1/2, 2/24781, 27 Find w such that -3267*w**5/5 + 938975202*w**4/5 - 67469166835194*w**3/5 + 139023501808896*w**2/5 - 1647960281487*w + 24781352430 = 0. 1/33, 2, 143705 Determine m, given that 40*m**4/13 - 21817038*m**3/13 - 66542252*m**2/13 - 46906890*m/13 - 2181716/13 = 0. -2, -1, -1/20, 545429 Determine l, given that 5*l**4 - 10315*l**3 - 497395*l**2 + 3262335*l - 5032350 = 0. -53, 3, 2110 Find f such that -f**5 - 358804*f**4 - 4664312*f**3 - 10404926*f**2 + 4664313*f + 10763730 = 0. -358791, -10, -3, -1, 1 Find s, given that s**3/3 - 2111*s**2 + 3026421*s - 9072931/3 = 0. 1, 2191, 4141 Let -w**3 - 16968*w**2 - 57091008*w - 54344060416 = 0. Calculate w. -12856, -2056 Solve a**4/11 - 573*a**3/11 + 14911*a**2/11 + 471453*a/11 - 485792/11 = 0 for a. -19, 1, 47, 544 Determine w, given that w**2/9 + 46658*w/9 + 10368 = 0. -46656, -2 Solve -d**3/5 - 14472*d**2/5 + 1266811*d/5 + 2591502/5 = 0 for d. -14559, -2, 89 Factor 80*v**3 - 215320*v**2 + 111860885*v + 46739536815. 5*(v + 267)*(4*v - 5917)**2 Suppose -2*p**5/5 + 136*p**4/5 - 1558*p**3/5 - 40432*p**2/5 + 383904*p/5 + 3773952/5 = 0. What is p? -13, -7, 16, 36 Determine f, given that 2*f**3 + 70340*f**2 - 211034*f + 140692 = 0. -35173, 1, 2 Find z such that -135*z**4 + 12635834220*z**3 - 12635834130*z**2 + 4211944700*z - 467993855 = 0. 1/3, 93598771 Factor -5*f**3 + 4590635*f**2 - 27543675*f + 41315445. -5*(f - 918121)*(f - 3)**2 Let 3*o**3/2 + 78963819*o**2/2 + 519607019773485*o/2 - 519607098737307/2 = 0. What is o? -13160637, 1 Factor x**3/2 + 196903*x**2/2 + 98451*x. x*(x + 1)*(x + 196902)/2 Find f such that 4*f**3 + 37148*f**2 + 7093804*f + 342224148 = 0. -9093, -97 Suppose 3*m**2 - 13995252*m + 16322256545292 = 0. Calculate m. 2332542 Determine z so that z**5/4 - 25383*z**4/2 - 25386*z**3 + 101536*z**2 = 0. -4, 0, 2, 50768 Find y, given that -3*y**4/5 + 282*y**3/5 + 3777*y**2/5 - 398268*y/5 = 0. -37, 0, 39, 92 Factor i**2 - 17588*i - 1200608. (i - 17656)*(i + 68) Factor 5*i**2 - 12001310*i + 7201572085805. 5*(i - 1200131)**2 Suppose 4*r**2 - 12236*r - 11922288 = 0. Calculate r. -777, 3836 Find q such that 2*q**2 - 1144*q + 152
{ "pile_set_name": "DM Mathematics" }
-7))? 7 26/(-10)*(420/462)/(((-144)/(-88))/(-9)) 13 What is 264/(-108)*(-450)/175? 44/7 What is (((-1)/3)/(238/(-24990)))/1? 35 Calculate (((-16)/902)/2)/((-2334)/(-12837)). -2/41 Calculate ((-4)/(-18))/(385/462)*6/((-1224)/30). -2/51 What is (-1)/(-1)*(-301)/(21070/28)? -2/5 Evaluate 10*-180*(-1098)/(-24400). -81 What is the value of ((((-165)/154)/(-5))/(54/(-63)))/(36/(-20304))? 141 What is 279*12/(-18)*31/(-186)? 31 What is the value of ((-18)/30)/(((-30)/25)/(-6))*(-4)/12? 1 What is the value of (-361*48/(-912))/1? 19 What is the value of ((-654976)/(-357))/(-128)*-3? 43 What is (-14336)/8064*(-9)/(-132)? -4/33 Evaluate (-11)/((-616)/(-80))*-98*84/9870*47. 56 Calculate 96/21*(-2548)/(-3731)*41. 128 Evaluate 87/(-12)*240/330*22/4. -29 What is the value of ((-71)/(-71))/((-56)/3976)? -71 What is the value of ((-5)/10)/((1023/22)/31)? -1/3 What is the value of (420/(-112))/((-81)/(-216))? -10 What is the value of (-53)/((-20352)/896)*(-36)/(-56)*-2? -3 What is the value of ((-1988)/(-2556))/(70/(-12))? -2/15 What is the value of ((720/24)/(-540))/(1/(-2))? 1/9 (-44)/((-10384)/177)*-52 -39 Calculate 93/(13671/3479)*-3. -71 Calculate 8/3*35/(8400/108)*845/429. 26/11 What is (52/3042)/((-35)/(-35))? 2/117 Calculate (2034/3729*(-2)/36)/((-2)/120). 20/11 What is -1*(-15)/(-5865)*17? -1/23 What is (-51)/68*4/6*62/1? -31 Calculate (-3)/9*(-212)/2968. 1/42 ((-60)/(-195))/(382/3820*8/130) 50 ((-1)/(-92)*-2)/((2352/16)/(-882)) 3/23 Evaluate (-4)/168*130*2*-1*(-336)/(-1120). 13/7 What is the value of ((1176/(-175))/21)/(((-4)/30)/((-16)/(-96)))? 2/5 Evaluate 475/(-190)*24*21/140. -9 What is the value of (((-1)/11)/(4071/(-759))*1/(-1))/(-1)? 1/59 Calculate -5*1*117/(-18)*124/310. 13 Evaluate 4/(60/55)*210/(-350). -11/5 What is 6/45*53*(-1310)/(-524)? 53/3 138/(-9)*9447/(-144854) 1 2/1*(6750/90)/((-78)/13) -25 Calculate 104/3*((-18)/16)/((-932)/(-1864)). -78 -553*(-43)/(6235/87)*(-5)/(-21) 79 What is the value of ((5474/184)/(-119))/(9/24*-6)? 1/9 Evaluate (-26)/(6734/(-37))*63/6*(-204)/3. -102 What is the value of (8/(-20))/((-20)/(-300))*(-4)/(-56)? -3/7 What is ((228/456)/((-3)/(-66)))/(2/6)? 33 What is the value of ((-10)/(-4)*(-120)/(-270))/(4018/2583)? 5/7 What is the value of -68*649/(-3009)*(-12)/8? -22 Calculate (((-44)/(-66))/1)/(204/(-54)). -3/17 Evaluate (51/3)/8245*(-90)/(-9). 2/97 What is (280/(-49))/(312/(-2730))? 50 (-12103)/(-283556)*-2*8/(-14) 2/41 98/(2/((2/4)/(41/1968*-24))) -49 What is ((-249)/(-10)*(-28)/(-42))/(82/((-14350)/(-35)))? 83 Evaluate (1728/(-3528))/(42/98). -8/7 What is (-772)/3088*3/(9/(-144)*(-4)/(-6))? 18 What is the value of ((-6)/(-24)*-4)/(2997/(-162))? 2/37 Evaluate (18/(-3969)*7)/(-9*1/27). 2/21 What is the value of 2*(-7)/(-28)*160/(-190)? -8/19 Calculate ((-40)/((-4200)/63))/(-549*1/(-10)*1). 2/183 Evaluate 342/(-2280)*(-16)/6*6. 12/5 Evaluate 3384/1974*91/(-42). -26/7 Calculate 15/(-4)*(-30)/9*(-180)/1350. -5/3 What is the value of (((-251)/753)/((-1)/(-130)))/(25/30)? -52 Evaluate ((-11815)/(-139))/(-170)*(-1)/((-78)/4). -1/39 (6/(-630)*-5)/(((-15540)/63)/74) -1/70 Evaluate ((15/(-25))/((-66)/(-165)))/((-135)/1380). 46/3 (85/(-150))/(84/504) -17/5 What is (10166/(-78))/(828/(-216))? 34 ((-348)/(-40020)*5/(-4))/((-4)/64*2) 2/23 What is 708/8673*129/(-2)*847/363? -86/7 Evaluate (63/((-51597)/(-26))*-28)/(1/1*-4). 2/9 Evaluate -1*((-57)/(-15))/(-19)*-20. -4 Calculate 6/((-330)/(-539))*1880/188. 98 Calculate (-6*(-10)/84)/((-218)/654). -15/7 Evaluate 88/20*(3*-5)/(219/146). -44 ((-7)/(-28))/(48578/3632) 2/107 What is ((-924)/385)/((-81)/(-5))? -4/27 What is ((184/(-32))/(-23)*-1)/(48/192)? -1 Calculate (2352/(-6272))/(285/10). -1/76 ((153/(-15))/(38/(-190)))/((-4)/(8/(-2))) 51 What is the value of ((-2)/(-18))/(13/(-897))*(-2)/2? 23/3 68*(43/(-645))/(13/(39/4)) -17/5 What is -6*4*((-49)/2940)/(2/4)? 4/5 481/(-481)*(-1)/(-31) -1/31 What is the value of (819/(-2079))/(26/(-12))? 2/11 What is the value of (-1710)/(-76)*(-112)/(-30)*2780/1946? 120 What is (-3)/(((-102)/(-102))/((-14)/24))? 7/4 Calculate (54/(234/13))/(2*(6/2)/6). 3 (2/9*(-90)/(-40))/((-28652)/(-1976)) 1/29 Evaluate 26796/696*(-42)/(-77). 21 What is the value of ((-12)/260*(-1565)/(-626))/(-3)? 1/26 What is -160*(-57)/76*4/156? 40/13 Evaluate (210/(-420))/((-312)/13). 1/48 What is the value of 2/3*318681/(-2146)*1/(-3)? 33 What is (1341/13857)/(66/124)? 2/11 Evaluate (0/(76/(-38)))/(-11). 0 What is the value of (3/(30/4))/((-39)/229320*-48)? 49 (-4*(-21)/(-98))/(17/((-6069)/34)) 9 Evaluate ((-27)/18)/((126/(-196))/((-30)/7)). -10 70/(-25)*1842450/36330 -142 Evaluate 3/(-2)*232540/(-11627). 30 Calculate ((-2080)/2990)/(65/1495). -16 ((-48009)/2462)/(117/90) -15 (18552/157692)/(12/(-34)) -1/3 Evaluate 2/(-8)*(-12)/(-2)*872/42510. -2/65 Evaluate (12261/(-2135))/((-474)/1106). 67/5 What is 5/(-12)*36816/(-23600)*5? 13/4 24/(-150)*-1*(-105)/(-63) 4/15 Evaluate 11/((-24640)/1224960*33/(-7)). 116 What is (96/7)/(506/(-1771))? -48 Evaluate (-61425)/11025*336/36. -52 (-4287)/(-74308)*((-8)/(-6))/1*-28 -28/13 (((-414)/108)/23)/(((-16)/(-4))/(-4)) 1/6 (-4)/(24/(-21))*(4560/(-28))/(-19) 30 -8*(-36)/3024*147 14 What is the value of (-24)/(-4)*((-315)/72)/((450/24)/(-15))? 21 What is ((-4)/(-42)*18/(-6))/(6*46/(-4830))? 5 Calculate ((-59640)/450)/71*5/(-4)*(-18)/(-105). 2/5 Calculate (-10)/(-25)*15/12*(2080/(-1482))/40. -1/57 Calculate (253/((-218592)/64))/(2/(-81)). 3 Calculate (322/(-34615))/(1/(-43)). 2/5 What is 101*1*(-595)/595*-3*2/(-6)? -101 29/(-29)*205/(-5) 41 Evaluate (10*108/61650)/((-270)/(-225)). 2/137 What is the value of -25*(-17)/1700*-328*2/(-2)? 82 Calculate 4/((-33)/(50721/116)). -53 What is ((-6)/(-45))/(1799/53970)? 4 Evaluate ((-270)/(-162))/(35/(-504)). -24 Calculate 45/10*20/66*(-8481)/(-771). 15 Calculate (5*-1)/((-10472)/52360). 25 What is the value of (17392/35871)/(5/(-3)*((-4)/(-5))/2)? -8/11 What is 317/(-1585)*5/(-10)? 1/10 Calculate 2/1*760/(-272080). -1/179 Evaluate (-3)/(((-80)/28)/(55/(-1232)*4)). -3/16 21/8477*(-280)/(-10)*10/60 2/173 Evaluate (-12)/(-63)*(-54)/(-72)*14. 2 What is (-200)/(-750)*36*6/((-24)/(-10))? 24 What is (-354)/(-1180)*(-155)/6? -31/4 What is the value of ((-22496)/29526)/(72/(-21))? 2/9 What is the value of (-160)/(-2360)*30/60? 2/59 Calculate (14/(-28))/(15/(-25))*12*(-8)/90. -8/9 What is the value of ((-90)/216)/(1/((-4)/((-1)/(7/7))))? -5/3 What is ((-98)/(-63)*840/(-196))/((-2)/(-15))? -50 What is (120/(-3)*-2)/(412/206)? 40 Evaluate (135/(-4))/((-10230)/(-32736)). -108 What is the value of (40/(-6))/(248/(-16740)*-10)? -45 Evaluate (60/6)/(3250/(-250)). -10/13 Evaluate (506/(-1012))/(((-5)/8)/5). 4 Calculate 12/(-96)*-10*(-2)/(6/(-3)). 5/4 Evaluate ((-40)/(-30))/((-14150)/849). -2/25 (2/(6/(-1)))/((-51)/((-19584)/(-832))) 2/13 What is the value of 22/34*(-28)/9240*-30? 1/17 (-3)/(-87*68/(-102544)) -52 What is the value of ((-296)/(-2812))/(4/418)? 11 Evaluate -10*(1/(-5))/(-2*(-36)/648). 18 Evaluate ((-8)/(-4))/(15/((-8370)/124)). -9 What is (117/(-17784)*399)/((-3)/(-88))? -77 Calculate (27/(68445/(-182)))/((-518)/222). 2/65 What is 24880/(-31100)*(-10)/(-62)? -4/31 ((-13)/4*(-51)/(-663))/(9/84) -7/3 What is -15*(((-31648)/129)/(-32))/1? -115 80*413/224*(-12)/90*-3 59 (-530)/1060*144/30 -12/5 Calculate 375/(-1000)*(-32)/7. 12/7 What is 62/(3968/96)*-38*9/9? -57 Evaluate (-2442)/(-1221)*(-11)/(-2)*8. 88 ((-812)/1015)/(16/(-1420)) 71 What is the value of (-26)/(88/(-55)*(-85)/68)? -13 Calculate 718/(-13642)*133/(-1). 7 What is the value of (74445/1418)/(9/6)? 35 What is 36/(2448/(-68))*45? -45 What is the value of (20/6)/(2*(3149/2397)/(-67))? -85 What is (-192)/(-18)*4704/3584? 14 What is ((17200/1750)/(-86))/((-288)/45)? 1/56 What is the value of -1*(1326/1833)/34? -1/47 What is the value of (90/(-18))/(2450/30380)? -62 (21*168/686)/(-1*30/(-280)) 48 Calculate (-22)/(-28)*4545/3333*(-4)/(-12). 5/14 What is (63*(-34)/51*(-51)/833)/((-2)/28)? -36 What is ((-4482)/5229)/((-1)/21*2)*3? 27 What is (48/18)/(-7*(-242)/1386)? 24/11 Evaluate (-109)/((1457/31)/47). -109 (-4420)/6188*(-21)/(-54) -5/18 Evaluate (5/(-3))/((-2990)/(-166842)). -93 What is the value of ((-20)/(-260)*377)/((-20)/40)? -58 Calculate ((-6)/(-13))/(2538/(-1692)). -4/13 ((-680)/15)/8*(-594)/198 17 What is ((-5)/(75/10))/(-400*(-38)/54
{ "pile_set_name": "DM Mathematics" }
o*r + w. Let z(l) = l**3 + 5*l**2 + 4*l + 6. Let c be z(-4). Solve 0*m + c = -r*m for m. -2 Let w = 1 - -1. Let s be 8/w + (1 - 3). Solve s*k = -k - 15 for k. -5 Let o = 78 + -63. Solve -4*z + z + o = 0 for z. 5 Suppose -10*d = 4 - 14. Solve -4*i + 5 = d for i. 1 Suppose 2*w = -3*m - 2, 0 = 3*w + w - 4*m - 36. Suppose p + 1 = 3. Solve -w = 3*r + p*r for r. -1 Let f(b) = 2*b**2 + b. Let v be f(1). Let m be (39*-1)/(9/(-6)). Suppose 14 = 5*g - m. Solve w = -v*w - g for w. -2 Let w(b) = b**3 - 6*b**2 - 15*b - 8. Let f be w(8). Solve 4*l + 0*l = f for l. 0 Suppose -4*z - 3*z + 14 = 0. Suppose 2*o + z = 3*o. Solve 4 + 6 = -o*g for g. -5 Let y(q) be the first derivative of q**4/4 + q**3/3 - 3*q**2/2 - 2*q - 3. Let t be y(3). Solve -3*i = -8*i + t for i. 5 Suppose 0 = -3*v + 2*k + 11, 3*v - 3*k - 25 = -8*k. Solve -v*x + x + 8 = 0 for x. 2 Let n(p) = p**2 + 9*p + 11. Let g be n(-8). Suppose i + 5 = -0*i + w, 2*i - 15 = -g*w. Solve i*a + 9 = -3*a for a. -3 Suppose -4*w = 2*b - 20, w + 3*b = -w + 14. Suppose 2*u + u - g - 5 = 0, -20 = w*g. Solve 5*y + 0*y - 15 = u for y. 3 Suppose -9 = -3*z + 2*o, -z + 0*z + 3*o - 4 = 0. Let n be (3/2)/((-12)/(-32)). Solve n = -q + z for q. 1 Let q(k) = -k - 5. Let u be q(-4). Let x be -1*(-1 - -13)/u. Let y be (54/x)/(2/4). Solve 0 = -4*l + y + 3 for l. 3 Let q(a) = -a**3 - 2*a**2 + 19. Let k be q(0). Solve -6 - k = -5*w for w. 5 Suppose 4*n = -0*n + 4. Suppose -o + 1 = -2. Let u = -1 + o. Solve u = -p - n for p. -3 Suppose 4*t - 2*w + 7 = -11, -t + 2*w = 0. Let c be (t/7)/(3/(-42)). Solve 0 = -2*h - h - c for h. -4 Let z(u) = -7*u + 4. Let a be z(-3). Let q be (40/a)/(2/5). Suppose -q = -6*d + 4*d. Solve -g = -d*g + 1 for g. 1 Suppose 0 = 4*t - 15 - 1. Solve -t = -n - n for n. 2 Suppose -3*x + 5*o - 17 = 0, -x + 3*o - 3 = 2*o. Solve -x = 5*v + 4 for v. -1 Let a = 16 - 22. Suppose 0 = 4*v + 4*r - 56, -v = 4*r - 12 - 17. Let q be (a/v)/(2/(-3)). Solve -q = 2*o + 9 for o. -5 Let s(b) = 2*b**3 - b - 3*b**2 - b - 1 + 3*b. Let f be s(2). Suppose 0*w + 4*w - 4 = 0. Solve -q - f = -w for q. -4 Let l(k) = k**3 + 8*k**2 - 8*k + 13. Let p be l(-9). Solve z + 9 = p for z. -5 Let m be (-2)/4 + (-133)/(-14). Let x = 14 - m. Solve -4 - x = 3*a for a. -3 Suppose -9*m = -8*m. Solve m = 4*z - 0*z - 12 for z. 3 Let h be (6 - 6) + 1 + -1. Solve h + 12 = -4*w for w. -3 Let j(d) = d - 2. Let o(h) = -h - 7. Let p be o(-5). Let v be j(p). Let x = v - -6. Solve -x*s + 6 = -4 for s. 5 Let i(v) = v + 5. Let d be i(-5). Suppose -3*r = -d*r. Solve r = -5*a + 1 + 4 for a. 1 Suppose 0*j = 2*j - 2. Let z = 2 - j. Solve -2 = p - z for p. -1 Suppose h - 2 = -0*h. Let l be (11 - 12) + 10/2. Solve -u + h = l for u. -2 Let s(u) = u - 18. Let y be s(22). Solve h + y = -1 for h. -5 Let x be -5 - -7 - 4/2. Let y be (-3)/(-6) + 1/(-2). Let q = x + y. Solve 3*r + 2*r + 15 = q for r. -3 Let x be (6*-1)/((-3)/2). Suppose 0 = -3*r + 1 - 7. Let f(d) = -d**3 - d**2. Let s be f(r). Solve x*v - s = 3*v for v. 4 Let c(k) = k**3 + k**2 - 3*k - 2. Let q be c(-2). Suppose q = -5*u + 8 + 2. Solve -b = 2 + u for b. -4 Let n be (-14*1)/(4/4). Let h = -14 - n. Solve -2*s + 5*s - 3 = h for s. 1 Let u = 5 + 0. Let h be 0/(-3 - -6) - 0. Solve h = u*k + 1 + 9 for k. -2 Suppose 4*a = 6 + 6. Let n be 1/(6/a + -1). Solve 3*o + n = 4 for o. 1 Let g be (-35)/14*-3*4/5. Solve -c + g*c = 5 for c. 1 Let r = 13 + -23. Let u be 5/(r/(-4)) - 0. Solve 0 = u*o + 2*o - 20 for o. 5 Let m be (0 - 1) + 5 + -1. Let v = 9 + -8. Suppose v = -l + 2. Solve 2*s - l = m for s. 2 Let x be (2 + (-6 - -3))*(-4)/2. Solve 0 = -3*d + 5*d + x for d. -1 Suppose -5*o = -4*o - 11. Suppose -7 = -j + 2*r, 0*r + o = -j - 4*r. Solve -3*i - j = -7 for i. 2 Let m(k) = -k**2 + 3*k - 2. Let h(f) = 5*f**2 - 12*f + 7. Let d(c) = -2*h(c) - 9*m(c). Let x be d(-3). Solve -l + 15 = -x*l for l. -5 Suppose -c - 3*l = -3*c + 60, -8 = -4*l. Let x = c - 25. Solve 23 = 5*s + x for s. 3 Suppose -5*i - 5*m = -80, -2*m = -8 - 0. Let d = i - 7. Solve 0 = j - d*j for j. 0 Let b = 83 - 68. Solve -b = -t + 6*t for t. -3 Let j(f) = -f**3 - 14*f**2 + 14*f. Let v be j(-15). Let g = -13 + v. Solve 2 = -g*d - 2 for d. -2 Let i(n) = 2*n - 1. Let o be i(5). Suppose -o - 6 = 5*c. Let w be (-1)/c*3*2. Solve 0 = 4*u - 3*u + w for u. -2 Let d(c) = -c**3 - 7*c**2 - 7*c - 2. Let g be d(-6). Let a = 5 - 3. Let s be a/g - 36/(-8). Solve s*p + 0 = 15 for p. 3 Let f(o) be the second derivative of -o**3/6 - o**2/2 + 2*o. Let x be f(-1). Solve -3*k - 3 + 0 = x for k. -1 Let t(x) = -x**3 - 18*x**2 - 17*x. Let w be t(-17). Solve w*c = -5*c for c. 0 Let w(r) = r**2 + 8*r + 7. Let l(n) = 8*n + 1. Let d be l(-1). Let i be w(d). Solve i = -9*u + 4*u for u. 0 Let t(l) = -l**2 + l + 5. Let i be t(-4). Let o be 1 + i*2/3. Let y = -9 - o. Solve y*u + 5*u = -25 for u. -5 Suppose h = 5, 3*j - 4 = h + 12. Let z(l) = l**3 - 6*l**2 - 6*l - 8. Let b be z(j). Let q = 1 + b. Solve q*n = -3*n - 15 for n. -5 Let z = -5 - -7. Suppose -6 - 2 = -z*o. Solve 0*s = -o*s for s. 0 Let g = 2 + -2. Suppose -9 = -g*v - 3*v. Suppose 5*a = v*k + 8, 32 = 3*a + 4*k + k. Solve 4*h = 6*h - a for h. 2 Let t(w) = w**2 - 7*w + 3. Let h be t(7). Solve -h*r + 13 - 4 = 0 for r. 3 Suppose -4*m + s = -7, 0*m + 3*m - 8 = -2*s. Suppose 0 = 4*g + v + 59, -2 + 5 = -v. Let q = g + 21. Solve m*c + 15 = q*c for c. 3 Let l(y) = y**2 - 3*y + 4. Let q be l(2). Solve 2 = -s - q for s. -4 Let o be 308/20 + (-2)/5. Solve 0 = -3*d - 6 + o for d. 3 Suppose 0 = 4*l - 33 - 3. Let u = 24 - l. Suppose -4*p - 1 = t, 2*t + 2 = -2*p + 6. Solve -2*g - t*g = -u for g. 3 Let q be (8/10)/(3/15). Suppose 0 = 3*w - q*w + 5. Solve -3*j - w = 10 for j. -5 Let w(y) be the third derivative of y**5/60 + y**4/8 + y**3/3 - y**2. Let m be w(3). Let j be -3*(m/(-6) + 2). Solve -j*l = 6 + 6 for l. -3 Suppose 4*f - 5*f = 3. Let z = 12 + f. Suppose 0 = -8*o + 5*o. Solve o = p - 4*p + z for p. 3 Let p be -5*(-5)/(-1)*-1. Suppose -p*c + 21*c = -20. Solve 4*g + 1 = c for g. 1 Suppose -u - 4*u + 20 = 0. Let r(l) = -l + 6. Let y be r(u). Solve -p = p + y for p. -1 Let x be 0 + 9 + -4*4/(-16). Solve -x*y = -5*y for y. 0 Let i be -4*5/(-4) + -5. Solve 4*c + 9 - 1 = i for c. -2 Let m be (3/(-9))/((-1)/33). Let i = 23 - m. Solve 5*c + 3 = -i for c. -3 Let g(q) = q**3 + 9*q**2 - 2*q - 6. Let o = -9 - 0. Let m be g(o). Solve 8 = 4*t - m for t. 5 Let n be (1*4)/(4/2). Suppose -2*b = -4*t + 7 - 23, n*t = 5*b - 8. Suppose -2*r - 3*h = 15, -r + b*h - 4*h = 20. Solve r*q - 3*q = 0 for q. 0 Suppose 0*m = 3*m. Suppose 27 = 3*q - 3*v, 4*q + 4*v = -v. Solve m = -2*i - 1 + q for i. 2 Suppose -3*s = -i - 4 + 1, -3*i + 1 = s. Solve 0*h = -h - s for h. -1 Suppose z + z = 64. Let f = z - 28. Solve f*a + 3 = 7*a for a. 1 Let r(q) = -2*q**2 + 2*q + 1. Let v be r(2). Let l be 5/v*(-36)/30. Solve -15 = -7*p + l*p for p. 3 Let a be (-1 - -1) + 3 + -4. Let t be 6*-2*a/6. Solve 0 = 4*w - 2*w + t for w. -1 Suppose -4*y + 12 = -5*t, t - 6*t = 0. Suppose -y*g = 5 - 32. Suppose -i = -2*i + 4. Solve i*p - 11 - g = 0 for p. 5 Let a(k) = k**2 + 5*k - 6. Let t be a(-6). Let r(s) = -s**3 - s + 3. Let m be r(t). Let q(l) = l**2 - l - 4. Let o be q(3). Solve 0 = o*j - 1 + m for j. -1 Let l(v) = v - 8*v - 8*v + 4*v + v**2. Let r be l(11). Solve r = 3*b + 9 + 3 for b. -4 Suppose -4*w - 49 = -17. Let n(t) = t**2 + 8*t + 8. Let a be n(w). Let r be 4/a - (-3)/2. Solve -y + r = 6 for y. -4 Suppose 0 = 5*a + 2*y - 44, -3*a - 3*y = -4*a + 19. Solve -1 = 3*i - a for i. 3 Suppose 2*l - 3 = -y, l - 4*y = y + 7. Solve l*x + 3*x = 10 for x. 2 Let j = -8 - -10. Solve -4*d = j + 10 for d. -3 Let u be (0 - (2 - 2))/(-1). Suppose -l + 2*l - 4 = u. Let t be 1*-5 - (4 - 9). Solve t = l*z - 9*z + 5 for z. 1 Let p be (-176)/(-18) + 8/36. Solve -5*q = p - 0 for q. -2 Suppose 2*z - 16 = 3*l + 16, -z - l = -11. Solve 3*j - 2 = z for j. 5 Suppose 30 = 2*p + 3*p + v, -30 = -5*p - 5*v. Solve 0 = 4*s + p + 10 for s. -4 Let v(h) = -2 - 8 - 3*h**2 + 2*h**2 - 12*h + 0*h**2. Let y be v(-11). Solve -3*d + y = 4 for d. -1 Suppose 0*g = 3*g. Suppose g = 6*v - 2*v - 12. Solve u + v*u = 4 for u. 1 Let q be 4/(-8)*(0/3)/(-2). Solve 3 = -q*s - s for s. -3 Suppose h - 5*m - 16 = 0, -2*m - 14 = -2*h - m. Let f be h*(-2 - -3) - 1. Let o = 32 - 22. Solve 3*k - f*k + o = 0 for k. 5 Let o(g) = -g**2 - 7*g - 4. Let q be
{ "pile_set_name": "DM Mathematics" }
9000 Let b = 5102 - 5068.0552. Let c = b - 11.9396. Let l = c + -22. Round l to three decimal places. 0.005 Let d(t) be the first derivative of -t**2/2 - 5*t + 4. Let z be d(-10). Suppose -5*a + 325 = -z*v, -4*v - 2*a - 14 = 252. Round v to the nearest 10. -70 Let q = 1013 - 1013.01642. What is q rounded to three decimal places? -0.016 Let a(q) = -967*q. Let s be a(4). Let u be ((-134)/5)/((-2)/(-20)). Let i = u - s. What is i rounded to the nearest 1000? 4000 Let w = -272 - -272.25. What is w rounded to 1 decimal place? 0.3 Let z be (-60)/(-9)*(39304 - 4). Round z to the nearest 10000. 260000 Let x = 323 - 323.01024. Round x to 4 decimal places. -0.0102 Let y = 84581 + -206729. Let z = y + 122148.0099986. Let n = z + -0.01. What is n rounded to 6 dps? -0.000001 Suppose -64634 - 131170 = -74*l. Round l to the nearest ten. 2650 Let p = 0.2081 - 0.2. Let w = -0.035 - p. Round w to 3 dps. -0.043 Let g = -488793 - -694693. Round g to the nearest one hundred thousand. 200000 Let k = 5.8 + -35.8. Let f = -30.000052 - k. What is f rounded to 5 dps? -0.00005 Let q = -46.2 + 23. Let v = 72 + -40. Let b = q + v. What is b rounded to 0 dps? 9 Let x = -112.2 - -14.2. Let l = x + 89.2. Let v = 10.33 + l. What is v rounded to 1 decimal place? 1.5 Let a = -2.82 + -3.5. Let s = a + 4.11. Let k = s - -0.03. What is k rounded to 1 dp? -2.2 Let g = -23 - -11. Let y = g + 35. Suppose 3*z = 3*d + 129, z - 4*d - 69 = -y. Round z to the nearest 10. 40 Let i = 104.79 - 104. Let j = -0.854 + i. What is j rounded to two dps? -0.06 Let d(u) = 50705*u**3 + 8*u**2 - 2*u + 6. Suppose -14 = -2*y - 2. Let w be d(y). Suppose -w - 10047438 = 3*m. Round m to the nearest one million. -7000000 Let c = -389.36139326021 - -0.36139236521. Let f = c - -389. What is f rounded to seven decimal places? -0.0000009 Let x = 39 - 35.92. Let r = x + 0.57. What is r rounded to 1 decimal place? 3.7 Let i = -1.7311 - -1.72. Let s = i - -0.011613. What is s rounded to 4 decimal places? 0.0005 Let r = -2.6 + -2. Let y = r - -4.5978. Round y to three dps. -0.002 Suppose -1491 = 2*t - 5271. Round t to the nearest one hundred. 1900 Let r = -1.014 + 0.76. Let i = r - 7.73. Let w = i + 8. What is w rounded to two decimal places? 0.02 Let d = -325 - -324.719. Let w = 0.3083 + d. What is w rounded to two dps? 0.03 Let p = -17238752 + 133200207. Let h = -115961442.0999893 + p. Let g = h - 12.9. What is g rounded to 6 dps? 0.000011 Let b = 0.102 + -1.642. Let y = b + 0.14. Let m = -1.399998 - y. What is m rounded to five decimal places? 0 Suppose -102000 = 184*j - 190*j. Round j to the nearest ten thousand. 20000 Let z = 7.2 + -5.75. Let m = -0.1 - z. What is m rounded to 1 dp? -1.6 Let y(r) = -16667*r**3 - 2*r**2 - 2*r + 3. Suppose 0 = -37*g + 36*g. Suppose g = 5*n + 58 - 43. Let q be y(n). Round q to the nearest 100000. 500000 Let j = -32.36 + 32. Let k = -1.45 - j. What is k rounded to 1 dp? -1.1 Let j = 31716.735 + -31645. Let w = -72 + j. Round w to one dp. -0.3 Let f = -43.6 - -43.60002911. What is f rounded to 6 dps? 0.000029 Let x = -103.24 - -101. Let q = x - -2.23999515. What is q rounded to 6 dps? -0.000005 Let c = -69092120883 - -69092120613.999999431. Let v = c + 269. What is v rounded to 7 dps? -0.0000006 Let b = 6050630.6479352 - 18464981.6979233. Let u = 12414349 + b. Let m = 2.05 + u. What is m rounded to 6 decimal places? 0.000012 Let q = 99.23 - 106.3. Let l = q - -7. Let k = 0.0699968 + l. What is k rounded to six dps? -0.000003 Let z = 316098 - 316098.0909995. Let i = -0.091 - z. What is i rounded to seven dps? -0.0000005 Let h = 0.799 - 0.78853. Round h to 3 dps. 0.01 Let v(p) = -2*p. Let f be v(-6). Let s be (-18 + -2)/(f/(-606)). Round s to the nearest one hundred. 1000 Let f = 5033 - 8001. Let c = -4732 + f. What is c rounded to the nearest 1000? -8000 Let j be (-2 - -2) + -10 + 8. Let r be j*(2 + 172/(-8)). Let k be (1 + r)*(-2737 + -13). What is k rounded to the nearest one hundred thousand? -100000 Let r(y) = -y**2 + 6*y - 7. Let v be r(5). Let b be 3 - (-1 - (-7 + 3)). Let f be -14896 + (v - b) + -2. What is f rounded to the nearest 1000? -15000 Let j = -66 - -51.3. Let b = j - -7.2. Round b to the nearest ten. -10 Let s = 34.943 - -0.057. Let v = s + -35.53. Round v to 1 decimal place. -0.5 Let a = 3 - 2.4. Let i = -2 - -10. Let z = i + a. What is z rounded to 0 decimal places? 9 Let z = 470.6 - 415. What is z rounded to the nearest one hundred? 100 Suppose 5*q - q + 166252 = 0. Let p = -138197 - -242634. Let s = p - q. What is s rounded to the nearest ten thousand? 150000 Suppose 3*t = -0*t + 27. Let p be (12/t)/((-1)/6). Let k(h) = -25001*h**2 - 8*h. Let y be k(p). What is y rounded to the nearest one million? -2000000 Let p = 2379.664598 + 0.035402. What is p rounded to the nearest ten? 2380 Suppose -7*z = -2010 - 1959. Suppose -3*r - g + 1671 = g, -r - 4*g + z = 0. Round r to the nearest 10. 560 Let v(x) = -3460001*x**3 + 2*x**2 - 1. Let t be v(1). Let q be 0*1/(-3) + t. What is q rounded to the nearest one million? -3000000 Let r = -0.237078 - -0.237. What is r rounded to four decimal places? -0.0001 Let y = -391 + 391.1027. Round y to two decimal places. 0.1 Let k = -1844748 - -1844743.999948. Let l = -403 + 407. Let w = k + l. What is w rounded to 5 decimal places? -0.00005 Let q = -1.00965631386 + -552.22554401614. Let s = q + 553.2052. Let g = s + 0.03. Round g to 7 decimal places. -0.0000003 Let x = -69 + 69.37. Let l = x - 0.436. Let q = l - -0.066059. Round q to five dps. 0.00006 Let k = -42 - -42.000177. Round k to five decimal places. 0.00018 Suppose b = -2*a + 2, 0*b = 3*a + 4*b - 8. Suppose a = 2*s + 17106 + 20294. Round s to the nearest one thousand. -19000 Let s = -0.8 - -2. Let c = -0.2 - s. Let y = c - -1.40205. Round y to 4 decimal places. 0.0021 Let a be -3*2*74/(-12). Suppose -36*j = -a*j - 530. Round j to the nearest 100. -500 Let p(q) = -14*q**2 + 141*q + 6. Let r be p(-7). What is r rounded to the nearest 1000? -2000 Let m(x) = x**2 + 3*x + 4970448. Let l be m(0). Suppose -4*j = -1669552 - l. Round j to the nearest one hundred thousand. 1700000 Let l = -12271.78775 - -12296.98775605. Let b = l - 25.2. What is b rounded to 7 decimal places? 0.0000061 Let v be ((-59280)/(-234))/(1/(-223500)). What is v rounded to the nearest one million? -57000000 Suppose -r - 3*r - 2*c + 246 = 0, -2*c = -2. What is r rounded to the nearest 100? 100 Let m = -352350007736.90197074 - -352350003419. Let i = m - -4247.90197. Let s = i + 70. What is s rounded to seven dps? -0.0000007 Let f(r) = -r + 14. Let c be f(12). Suppose 5*o - 4*z - 101489 = 0, -4*o - c*z + 43597 = -37615. Suppose 3*x + o = -12099. Round x to the nearest 1000. -11000 Let h(v) = -144688*v - 696. Let o be h(-17). Round o to the nearest 10000. 2460000 Let l = -1843872456897235.81100101 + 1843872474968507. Let c = 18071271 - l. Let h = -0.189 - c. Round h to 7 decimal places. -0.000001 Let q(t) = -176*t**3 + 8*t**2 + 3*t + 5. Let n be q(5). What is n rounded to the nearest one thousand? -22000 Suppose -404 = 4*d + 100. Let b = d + 65. Round b to the nearest ten. -60 Let m = 10899978.92965695 + -11157213.476659. Let v = 257240.647 + m. Let j = 6.1 - v. What is j rounded to seven dps? 0.0000021 Suppose 0 = -27*s + 10*s + 11866000. Round s to the nearest 10000. 700000 Suppose -1 = -2*d - 3. Let a(u) = u + 3. Let j be a(d). Suppose -j*t - 3*n = -166, -3*t = -2*n - n - 234. Round t to the nearest 100. 100 Let a(m) = 2*m**3 - 10*m**2 - 4*m + 32. Let u be a(17). Round u to the nearest 10000. 10000 Let s(l) = 5041*l**3 - 7*l**2 + 5*l + 6. Let c be s(5). Suppose 78019 = 2*k - c. What is k rounded to the nearest one hundred thousand? 400000 Let b = -444864363 - -624864375. Let t be b/(-20) + 12/20. What is t rounded to the nearest 1000000? -9000000 Let l = -157 + 157.0000108. Round l to six decimal places. 0.000011 Let a(h) = 9*h**3 + 7*h**2 - 8*h - 3. Let w be a(10). Suppose -29707 = -7*v - w. Round v to the nearest 100. 2900 Let w = 1676452.9798 + -1676316. Let o = 116 + 21. Let i = o - w. What is i rounded to three decimal places? 0.02 Let v = -2.90999746 + 2.91. Round v to 6 dps. 0.000003 Let g = 86 + -86. Let j be ((-6000)/9 - g)/(3/9). What is j rounded to the nearest 10000? 0 Let t = -408.9665 - -409. R
{ "pile_set_name": "DM Mathematics" }
*x - 766. Suppose -20*j = -10*j - 40. Suppose j*o = n + 139. What is the greatest common divisor of 19 and o? 19 Suppose -2*w - 48 = -4*w + 5*a, -w = 3*a - 2. Let z = -14 - -26. Let u = -5 + z. What is the greatest common divisor of w and u? 7 Suppose 51*b + 2 = 50*b. Let v = 12 - b. Calculate the greatest common factor of v and 140. 14 Let v(h) = 11*h + 20. Let t(a) = -5*a - 10. Let q(k) = -13*t(k) - 6*v(k). Let d be q(-2). What is the greatest common factor of 2 and d? 2 Suppose -352*o = -363*o + 1650. What is the greatest common divisor of o and 210? 30 Let n = 4 + -2. Let a = -8 - -18. Suppose -3*y - n*y = -a. Calculate the greatest common factor of y and 10. 2 Let x(g) = -15*g**3 - 4*g**2 - 16*g - 17. Let v be x(-2). What is the greatest common factor of 102 and v? 17 Suppose -5*y - 4*w + 29 = -4*y, -4*w = 16. What is the highest common divisor of 165 and y? 15 Suppose -112 = -74*s + 67*s. What is the greatest common divisor of 272 and s? 16 Let c = 596 - 1078. Let p = -311 - c. Suppose 0 = 4*d - d - p. Calculate the highest common divisor of d and 19. 19 Let u = 19 + -17. Suppose u + 22 = 3*c. Let g be (-3)/12 + 562/c. Calculate the greatest common divisor of 14 and g. 14 Let z = 15 - 21. Let w = z - -18. Suppose -21*h + 17*h + w = 0. What is the highest common divisor of 27 and h? 3 Let f be (-506296)/(-364) + (-2)/(-26). What is the greatest common divisor of f and 13? 13 Let i be (-295)/(-9) + (-52)/(-234). Let k = 69 - i. What is the highest common divisor of 9 and k? 9 Let u be ((-5)/(-150)*5)/((-3)/(-414)). Calculate the highest common divisor of u and 2783. 23 Let s(z) = -103*z - 197. Let u be s(-2). Calculate the greatest common factor of 837 and u. 9 Let k(b) = -39*b + 261. Let n be k(-16). What is the greatest common divisor of n and 59? 59 Let k = -309 + 390. Calculate the greatest common divisor of k and 9. 9 Suppose -4*u - 22 = -4*q - 146, 3*u = -4*q + 128. Suppose 0 = -2*y - 30 + 138. Calculate the highest common factor of u and y. 18 Let q(t) = -t**3 - 4*t**2 + 16*t + 81. Let k be q(-5). Suppose 3*h + h - 936 = 0. Calculate the highest common factor of k and h. 26 Let r(a) = -a**3 - 4*a**2 - 2*a. Let s be r(-4). Suppose 0 = 5*x - 50 - 10. Let d(n) = 3*n + 28. Let q be d(x). What is the highest common factor of s and q? 8 Suppose -13*b = -11*b - 8. Let t be -3 + 5 - (b - 0). Let k = 9 - t. What is the highest common factor of 88 and k? 11 Let h be (((-16)/(-3))/(-8))/((-2)/18). Let b be h/(-2) - 6/(-2) - -330. What is the highest common divisor of b and 55? 55 Let g = -2030 - -2063. What is the highest common factor of 759 and g? 33 Let h be (-11 - 55)/(3/(-2)). What is the highest common factor of 33 and h? 11 Let s be (-4 - -97) + (1 - 3). Let p be s/3 - (-1)/(-3). Suppose -a = -2 - p. What is the highest common divisor of a and 4? 4 Suppose -32*x = -23*x - 1386. What is the highest common divisor of 56 and x? 14 Let d(a) = -a**2 + 13*a + 23. Let q be d(10). Let v = -45 + q. Calculate the highest common factor of 1 and v. 1 Let k = 9 + -9. Suppose 0 = 4*s + 4*x + 9 + 59, -5*s + 3*x - 117 = k. Let b = 44 + s. Calculate the highest common divisor of b and 23. 23 Suppose 0 = -2*q + 220 - 76. Let j(p) = p - 18. Let o be j(27). What is the greatest common divisor of o and q? 9 Suppose 5*x - 259 = -29. Let m = 147 + -78. What is the greatest common divisor of m and x? 23 Let o(m) = -m**2 - 6*m + 15. Let u = -4 + -2. Let p be o(u). Calculate the highest common factor of p and 30. 15 Let k = -15 - -20. Suppose 0 = -4*x + 2*x + k*a + 9, 24 = 4*x - 4*a. What is the greatest common divisor of x and 21? 7 Let u(p) = -p**2 - 2*p + 11. Let i be u(-4). Suppose -h - 3 = -i*v - 2*v, 0 = -2*v + 3*h - 4. What is the highest common factor of 9 and v? 1 Let u(a) = a**3 + 5*a**2 + a - 8. Let v be u(-6). Let m be 20/v + 67/5. Let n = m - 9. Calculate the greatest common factor of 4 and n. 4 Let y(g) = -38*g + 6. Let n be y(1). Let w be -2*(-1 + (-34)/(-4)). Let d = w - n. Calculate the highest common factor of 34 and d. 17 Let l(w) = -w**2 - 31*w + 528. Let c be l(-43). Let z be 724/10 + 4/(-10). Calculate the greatest common divisor of z and c. 12 Let l be ((-26)/91)/(3/(-441)). What is the greatest common factor of l and 70? 14 Suppose 0 = 22*v - 23*v + 46. Suppose -2*w - 38 = -3*w - 3*a, -w = a - v. Calculate the greatest common factor of 20 and w. 10 Suppose 0 = -2*t - 5 + 3. Let m(k) = -3*k**3 + 2*k**2 + k. Let z be m(t). Let c be 66/8 - (-2)/(-8). Calculate the greatest common divisor of z and c. 4 Suppose -3*s = -6*s + 6. Suppose -5*c + 25 = 5*v, 0 = -s*v - v + 12. Calculate the highest common factor of c and 3. 1 Suppose 2*r + 3 - 37 = 0. Suppose 0 = 25*z - 20*z - 1670. Suppose 5*n - 2*b = z, 0 = -2*n + n - 2*b + 74. What is the greatest common factor of n and r? 17 Let v = -22 - -30. Suppose v*p = 3*p + 35. What is the highest common factor of 35 and p? 7 Let d(n) = n**3 - 6*n**2 - 4*n - 1. Let b be d(7). Let q = 60 - b. Suppose -3*g - q = -7*g. Calculate the highest common factor of 2 and g. 2 Suppose 7*z - 1197 = -j, 0*z - 513 = -3*z - 4*j. What is the highest common divisor of 285 and z? 57 Suppose 35*w - 540 = 26*w. Calculate the highest common factor of w and 220. 20 Let i(u) = 18*u + 162. Let g be i(-8). Calculate the greatest common divisor of 414 and g. 18 Let p(d) = d**3 + 14*d**2 - 175*d - 1. Let b be p(10). Calculate the highest common divisor of b and 11. 11 Let u = 191 + -153. Calculate the greatest common divisor of 19 and u. 19 Let u(k) = 2*k**2 - 7*k + 3. Let i be u(5). Suppose -2*n - 15*p + 14*p = -15, -4*n - 5*p + 21 = 0. Calculate the greatest common factor of n and i. 9 Suppose 8*x = 2*x + 18. Let t be 0/(-1)*13/(-26). Suppose t = -2*n - 4*l + 5 + 27, -45 = -5*n - 3*l. What is the highest common factor of n and x? 3 Suppose 4*j - 14 = -3*v, 0 = j + 2*j - 5*v - 25. Let m be (j/(-1))/(3/(-27)). Suppose -4*x - 556 + 628 = 0. Calculate the greatest common factor of x and m. 9 Suppose 5 = 5*j - 20. Let n be 0/(-2) + 1 + 2. Suppose j*r - 72 = -5*g + g, -n*r + 42 = 2*g. Calculate the highest common divisor of r and 24. 12 Suppose -177 = -4*d + 3711. Calculate the greatest common factor of 12 and d. 12 Suppose -4*a - p + 795 = 0, -4*a + 0*a + 3*p + 815 = 0. Let w be (-1 + 51/15)*a/12. Calculate the highest common factor of w and 16. 8 Suppose -a + 3*c + 42 = 0, 80*a + 3*c = 84*a - 195. Calculate the highest common factor of 425 and a. 17 Let u = -136 + 138. Suppose 5*t + u*l - 89 = 0, 2*t + l - 54 = -t. What is the highest common factor of 19 and t? 19 Suppose 3*m - 3506 = 4*y, 2*y + 1168 = 10*m - 9*m. Calculate the highest common factor of m and 65. 65 Suppose 0 = 5*c + 3*r - 10, -c + 0*r = 4*r + 15. Suppose c*q - 6*q + 35 = 0. Let z = q - 25. Calculate the highest common divisor of z and 90. 10 Let n = 71 - 69. Let l(m) = 6*m. Let b be l(2). Suppose 2 = n*q - b. Calculate the greatest common factor of q and 28. 7 Let r be (6/(-5))/((-3)/15). Suppose 4*l + 8 = -4*u, -5*l - 8 = 2*u + 2. Let v be (-12)/(-24) - 7/l. What is the highest common divisor of v and r? 2 Suppose -2*a + 76 = 2*a. Let w be (3/2 - (-10)/(-4))*-241. Let d = -127 + w. What is the highest common factor of d and a? 19 Let a = -16 + 31. Let m be 3*(95/(-15) - 2). Let l = m + 40. What is the greatest common divisor of a and l? 15 Let n be (-2)/(-1) + 126/(-7). Let y be (-3)/2*n/6. Let r be 1/(2 - y - -3). What is the highest common factor of 7 and r? 1 Suppose -447 = 44*l - 2031. What is the highest common divisor of l and 144? 36 Suppose 0 = -0*n + 2*n + 2*u - 22, 3*n + 4*u - 32 = 0. Calculate the greatest common divisor of n and 192. 12 Let m(j) = -30*j + 22. Let s be m(4). Let q = s + 104. What is the greatest common divisor of 12 and q? 6 Let r(n) = n**2 + n - 86. Let q be r(10). Let w be (2 + 1)/((-2)/(-8)). Calculate the highest common factor of q and w. 12 Let h = 64 + 40. Calculate the highest common factor of 286 and h. 26 Let j be 3/2*4/2. Let z = 34 + -32. Suppose 3*u - 3 = -z*q, -4*q + u = -q - 21. What is the greatest common divisor of q and j? 3 Let m(g) = 3*g**2 + 9*g - 12. Let f(p) = -14*p**2 - 46*p + 60. Let s(j) = 2*f(j) + 11*m(j). Let t be s(-5). What is the greatest common factor of t and 52? 26 Suppose 3*v - v - 3*x + 4 = 0, 2 = x.
{ "pile_set_name": "DM Mathematics" }
-s**2 + 6*s + 2. Let y be d(6). Solve 6*j**3 - 4*j**3 + j**2 + 0*j**y + j**4 = 0. -1, 0 Let y(w) = -14*w**2 + 2*w + 8. Let t(l) = 5*l**2 - l - 3. Suppose 5*f - 5*o - 35 = 0, -2*o = -o - 1. Let v(u) = f*t(u) + 3*y(u). Find b, given that v(b) = 0. -1, 0 Factor -20 - 84*g**2 - 120*g + 12*g**2 + 51*g**2 - 154*g**2. -5*(5*g + 2)*(7*g + 2) Let a = 15 + -17. Let t be ((-2)/(-3))/(a/(-9)). Factor -t*p + 0 + 15/2*p**2 + 21/2*p**3. 3*p*(p + 1)*(7*p - 2)/2 Let j(u) = 25*u**4 - 5*u**3 - 215*u**2 + 245*u - 60. Let c(x) = -13*x**4 + 3*x**3 + 107*x**2 - 123*x + 30. Let a(b) = -5*c(b) - 2*j(b). Solve a(v) = 0 for v. -3, 1/3, 1, 2 Let b(c) be the third derivative of -1/60*c**5 - 1/48*c**4 + 0 + 0*c**3 - 3*c**2 + 0*c. Factor b(n). -n*(2*n + 1)/2 Suppose -4*n - 12 = -2*v, -3*v - 5*n = -n + 2. Suppose -i + 10 = -v*q, -i + q = 4*i - 14. Solve 4*t - i*t**2 - 6*t + 0*t**2 = 0. -1, 0 Let w(r) be the third derivative of -11*r**5/270 - 5*r**4/108 + 2*r**3/9 + 23*r**2. Factor w(f). -2*(f + 1)*(11*f - 6)/9 Let x(l) = -2*l - 1. Let d be x(-2). Factor 3*q**d - q**4 - q**4 - 6*q**3 + 4*q**3 + q**5. q**3*(q - 1)**2 Let d(t) = t**5 - t**4 - t**2 + t - 1. Let x(v) = 165*v**5 - 300*v**4 + 120*v**3 + 15*v - 25. Let u(w) = 25*d(w) - x(w). Let u(z) = 0. Calculate z. -2/7, 0, 1/4, 1 Let q = -169 - -169. Let x(d) be the second derivative of q*d**4 + 1/60*d**6 + 0 + 1/40*d**5 + 0*d**2 + 0*d**3 + 2*d. Factor x(r). r**3*(r + 1)/2 Let s(z) be the second derivative of -z**6/30 - 3*z**5/40 + z**4/3 - z**3/4 + 12*z. Factor s(v). -v*(v - 1)*(v + 3)*(2*v - 1)/2 Let i = 4 + -15/4. Factor -1/4*a**3 + 1/4*a**4 + i*a + 0 - 1/4*a**2. a*(a - 1)**2*(a + 1)/4 Let 4/7*y + 0 - 2/7*y**3 + 2/7*y**2 = 0. Calculate y. -1, 0, 2 Suppose 0 = -w - 4 + 8. Solve -n**4 + n**w - 4*n**4 = 0 for n. 0 Let l(h) be the third derivative of h**5/90 - h**4/36 - 8*h**2. Let l(a) = 0. Calculate a. 0, 1 Factor 0 - 8/7*u**2 + 0*u - 14*u**4 - 8*u**3. -2*u**2*(7*u + 2)**2/7 Suppose -2*r + r + 17 = 5*i, 3 = -r. Let a be (-1)/((i/(-6))/2). Find w such that 0 + 0*w**2 - 1/4*w**4 + 0*w**a + 3/4*w**5 + 0*w = 0. 0, 1/3 Let o = -33 + 28. Let y be (-8)/o + (-20)/(-50). Determine r so that 1/3*r**y - 2/3*r + 1/3 = 0. 1 Let m(k) be the first derivative of 4*k**3/3 + 2*k**2 - 8*k - 13. Let m(b) = 0. Calculate b. -2, 1 Let f = -13 - -18. Suppose p**2 - p**f + p**3 - p**2 + 0*p**5 = 0. What is p? -1, 0, 1 Let m(r) = -r + 15. Let w be m(16). Let a be (-5)/(-4) - (-1)/w. Suppose 1/4*s**4 + 1/2 - 3/4*s**2 - a*s**3 + 1/4*s = 0. What is s? -1, 1, 2 Let t = -104 - -730/7. Let m be -1 + (0/4 - 2 - -3). Let m - 2/7*b - t*b**2 = 0. What is b? -1, 0 Let l be (4 + -3)*(1 + 1). Let q = l - 0. Factor -4*f**q - 3*f + 4 + 5*f**2 - f. (f - 2)**2 Let r(o) be the third derivative of o**7/189 - o**6/30 + 2*o**5/45 + 2*o**4/27 - 27*o**2. What is s in r(s) = 0? -2/5, 0, 2 Factor 10 - 55/2*o + 25/4*o**2. 5*(o - 4)*(5*o - 2)/4 Suppose -6*j + 20 = -4. Find t, given that 0 + 27/2*t**3 + 2*t - 27/4*t**j - 9*t**2 = 0. 0, 2/3 Let n(f) = 7*f**2 + f - 6. Let t = -7 + -4. Let x(r) = -20*r**2 - 4*r + 17. Let a(s) = t*n(s) - 4*x(s). Solve a(h) = 0 for h. -2, 1/3 Let o(h) = -h**3 - h**2 - h. Let i(n) = -2*n**3 - 2*n**2 - 10*n - 4. Let q = -24 - -18. Let y(w) = q*o(w) + i(w). Factor y(j). 4*(j - 1)*(j + 1)**2 Let t(p) be the first derivative of 1/9*p**3 - 1/3*p + 3 - 1/12*p**4 + 1/6*p**2. Find f such that t(f) = 0. -1, 1 Let s = -55 - -57. Factor -4/5*r**s + 4/5 - 14/5*r**3 + 14/5*r. -2*(r - 1)*(r + 1)*(7*r + 2)/5 Let o = -2 + 2. Suppose 25*c = 12*c + 39. What is b in 3/2*b**c + 0*b**2 - 3*b**4 + 0*b + o = 0? 0, 1/2 Let f(t) be the third derivative of t**9/12096 - t**7/3360 - t**3/3 - 2*t**2. Let k(u) be the first derivative of f(u). Solve k(r) = 0 for r. -1, 0, 1 Let a = -859/21 + 291/7. Factor a - 1/2*g**2 + 0*g - 1/6*g**3. -(g - 1)*(g + 2)**2/6 Let r(y) be the second derivative of 1/12*y**4 + 5*y + 0 + 0*y**2 - 1/3*y**3. Factor r(i). i*(i - 2) Let l = -133 + 234. Let r = l + -907/9. Find s, given that -2/9*s**3 + 2/9*s**2 + r*s - 2/9 = 0. -1, 1 Let p(u) be the third derivative of -u**9/120960 + u**8/20160 - 7*u**5/60 + 7*u**2. Let x(g) be the third derivative of p(g). Factor x(d). -d**2*(d - 2)/2 Solve 3*p**3 - 40*p + 39*p**3 - 4*p**2 + 14 + 0*p**3 - 30 + 18*p**4 = 0 for p. -2, -2/3, 1 Let n(o) be the first derivative of 3 + o**5 - 1/3*o**3 + 0*o - 3/4*o**4 + 1/2*o**2 - 1/3*o**6. Factor n(m). -m*(m - 1)**3*(2*m + 1) Let 0 + 3/7*p + 4/7*p**2 + 1/7*p**3 = 0. Calculate p. -3, -1, 0 Let o(g) = -g**4 - g**3 - g - 1. Let d(r) = 2*r**4 + 12*r**3 + 5*r**2 - 18*r - 13. Let m(h) = -d(h) + 3*o(h). Factor m(p). -5*(p - 1)*(p + 1)**2*(p + 2) Suppose 0*c - c = z - 8, 0 = 4*c - 12. Suppose z*w - 12 = w. Factor 0 + 0*i**2 - 1/4*i**w + 0*i. -i**3/4 Factor -4/9*h**2 + 0 - 8/3*h. -4*h*(h + 6)/9 Let l be ((-12)/8)/(1/(-2)). Let n(o) be the first derivative of 1/2*o**2 - 2*o + 1 + 1/3*o**l. Determine x, given that n(x) = 0. -2, 1 Let i(m) be the second derivative of -2*m**6/15 + m**5/5 + 3*m**4 + 22*m**3/3 + 8*m**2 + 3*m. Suppose i(u) = 0. What is u? -1, 4 Suppose 2*m = -4*j, 7*m - 3*j = 3*m. Let x be (-1)/(-8)*4*m. Factor -10/9*f**4 + 4/9*f**2 + 0 - 2/3*f**3 + x*f. -2*f**2*(f + 1)*(5*f - 2)/9 Let d(f) be the second derivative of -1/24*f**4 + 0 + 1/2*f**2 + 1/30*f**5 - 1/120*f**6 + f + 0*f**3. Let z(b) be the first derivative of d(b). Factor z(j). -j*(j - 1)**2 Let n(x) be the third derivative of -x**7/420 + x**6/160 - x**5/240 + 70*x**2. Factor n(t). -t**2*(t - 1)*(2*t - 1)/4 Let j(y) be the second derivative of -1/6*y**4 + 0*y**3 + 0*y**2 + 0 + 3/7*y**7 - 1/5*y**6 + 6*y - 1/2*y**5. Find p, given that j(p) = 0. -1/3, 0, 1 Suppose 5*f - 25 = -2*m, -m + 0*f = 2*f - 10. Suppose m = -4*v + 2*v + 4. Solve 0 + 0*o - 2/7*o**v + 2/7*o**3 = 0 for o. 0, 1 Let s(b) be the third derivative of -1/24*b**3 + 0 - 1/240*b**5 - 1/48*b**4 + 2*b**2 + 0*b. Factor s(y). -(y + 1)**2/4 Let m(i) be the third derivative of i**7/70 - i**6/40 - i**5/20 + i**4/8 - 33*i**2. Factor m(z). 3*z*(z - 1)**2*(z + 1) Let b(t) be the first derivative of t**7/280 - t**6/40 + t**5/20 + 2*t**3 + 5. Let j(c) be the third derivative of b(c). Factor j(f). 3*f*(f - 2)*(f - 1) Let q(t) be the second derivative of t**5/25 + 4*t**4/15 + 2*t**3/3 + 4*t**2/5 + 8*t. Factor q(u). 4*(u + 1)**2*(u + 2)/5 Let s(t) = -t**3 - 6*t**2 + t + 4. Let m be s(-6). Let r be m + (-6)/(6/(-2)). What is k in -2/3*k + r + 2/3*k**2 = 0? 0, 1 Factor -10*i - 4*i**2 + 23*i - 4 - 5*i. -4*(i - 1)**2 Let o = -175 + 103. Let c = o + 218/3. Find a, given that 2/3*a**4 + 8/3*a + 4*a**2 + 8/3*a**3 + c = 0. -1 Suppose 0*x - 6*x = 0. Let d be 0*(1 - x/(-2)). Factor -8/3*i**3 + d - 7/3*i**2 - i**4 - 2/3*i. -i*(i + 1)**2*(3*i + 2)/3 Let f(q) be the first derivative of -q**8/504 - q**7/105 - q**6/90 - q**2/2 + 4. Let w(u) be the second derivative of f(u). Suppose w(i) = 0. What is i? -2, -1, 0 Suppose 0 = 2*p - 2*r - 4, -p + 5*r + 4 = 2. Let u(q) be the second derivative of -1/6*q**4 - q + 0 - 2*q**p + q**3. Factor u(k). -2*(k - 2)*(k - 1) Let o be 0*-1*3/6. Factor -3*r**3 + 2 + o - 2. -3*r**3 Let b = -3 - -3. Factor -f - 4*f**2 + b*f**2 + 5*f**2 - f**4 + f**3. -f*(f - 1)**2*(f + 1) Let a be 4/6 + 30/9. Factor 0*c**2 + a*c**2 - 6*c**2. -2*c**2 Let g(v) = -v**3 - 3*v**2 - 3*v + 1. Let s(p) = 3*p**3 + 7*p**2 + 7*p - 2. Let j(t) = 5*g(t) + 2*s(t). Let j(h) = 0. What is h? -1, 1 Let w(t) be the second derivative of -t**7/13860 - t**4/6 - 6*t. Let s(k) be the third derivative of w(k). Factor s(b). -2*b**2/11 Suppose n + 396 = -2*n. Let x be (-4)/22 + (-57)/n. Find b, given that 0 - 1/2*b**2 + x*b - 1/4*b**5 + 1/2*b**4 + 0*b**3 = 0. -1, 0, 1 Let f(v) = -2*v - 1. Let w be f(2). Let j = 6 - w. Factor 7*i**2 - 26*i**3 + 2*i**5 + 14*i**4 + 2 - j*i + 17*i**2 - 5*i**5. -(i - 1)**4*(3*i - 2) Let h(j) be the first derivative of -2*j**6/3 + 4*j**5 - 10*j**4 + 40*j**3/3 - 10*j**2 + 4*j + 53. Factor h(q). -4*(q - 1)**5 Let l(z) be the first derivative of z**3/3 - z**2/2 - 18*z + 1. Let m(d) = -6. Let o(g) = 3*l(g) - 8*m(g). Factor o(i). 3*(i - 2)*(i + 1) Suppose 16 = 4*o, 2*h + 4*o = -0*o + 16. Determine u so that h - 9/4*u**4 + 3/2*u**3 + 2*u + 5*u**2 = 0. -2/3, 0, 2 Let b(i) = 4*i**4 + 7*i**3 - 13*i**2 - 16*i. Let h(n) = 12*n**4 + 22*n**3 - 38*n**2 - 48*n. Let s(v) = 10*b(v) - 3*h(v)
{ "pile_set_name": "DM Mathematics" }
the closest to -0.01 in 1, 0.04, s? 0.04 Let z be (150/(-2250))/((-1)/5). Let l = 109.7 + -105. Let g = l + 0.3. What is the closest to 1/4 in -5, g, z? z Let z = 5281 - 5358. Let u = -3 - 75. Let t = z - u. Which is the closest to t? (a) -0.3 (b) 0.4 (c) -44 b Suppose 73*z = -28*z - 28 + 432. Which is the closest to -1? (a) 3/4 (b) z (c) 0.2 (d) 44 c Let m = 20821.5 + -20821. Which is the nearest to 0? (a) 5 (b) -1 (c) 0.07 (d) m c Let x(s) = s**2 + 7*s + 10. Suppose 5*v = 4*c - 34, -v - 4*v - 3*c - 62 = 0. Let q be x(v). Let p = q + -39. What is the nearest to p in -5, 0, -3? 0 Let i be 1*(12/76 - 0)*(-26)/39. Let q = -48 + 47.67. Which is the closest to 0? (a) -4 (b) -3/5 (c) i (d) q c Let o = 901 + -900.99. Let j = 3 + -2.6. Suppose 5*s - 8*s = 0. Which is the closest to s? (a) -0.3 (b) j (c) o c Let q = 0.697 + -1.097. What is the closest to -0.5 in q, 1/5, -0.96, -4? q Let z be 4/(-15)*-2 - 24/120. Suppose 0 = -10*u + 3*u + 763. Let k = u + -985/9. What is the closest to -2/3 in k, z, -5? k Let k = 7.959 - 7.959. What is the closest to k in -1008/11, 3, -0.3? -0.3 Let x be 2/5*(4 - 156/44). Let s = 104 - 103.5. Which is the nearest to 2/5? (a) 2/7 (b) s (c) x b Let h be 62/32 + (11 + -37)/13. Which is the nearest to -1/2? (a) h (b) -1/4 (c) 0.3 (d) 7 b Let o = 3703 - 11110/3. What is the closest to -1/5 in 9, 0.15, o? o Let h = -0.2447 + 0.1817. What is the closest to 1 in 2/11, 0.3, h, 0.05? 0.3 Let j be ((-68)/(-36) + -2)/((-10)/75*-5). Which is the closest to 1? (a) -5 (b) j (c) 163 b Let y = 81367461946/3766763 + -8/538109. Let v = 4082492/189 - y. Let z = v - -28/27. Which is the nearest to z? (a) -0.3 (b) 0 (c) 3 b Suppose -4*x + 3 = -p - 18, 2*p = 6. Suppose 3*u - 5*q = x, 3*q + 10 = 5*u - 0*q. Let n = -0.3 + 0. Which is the closest to u? (a) 1/8 (b) 0.1 (c) n a Let j = 11.061 - 8.061. What is the nearest to -92 in 5, 2, 0.4, j? 0.4 Suppose 41*l = 49*l - 8. Let r = 435 + -435.5. What is the closest to -0.2 in 3, l, 0.4, r? r Let s = 276 - 274.07. Let y = 139 - 138.07. Let j = s - y. What is the closest to j in 8, -0.4, 0.2? 0.2 Let u = 79 + -71. Suppose m - 5 = 0, -5*d + 3 - u = 4*m. What is the closest to 4 in 1/3, 0.4, d? 0.4 Let m = 0.283 + 0.217. Let l(v) = v**3 - 8*v**2 + v - 4. Let s be l(8). Which is the nearest to s? (a) 0.1 (b) m (c) 0 b Let l be (18 - (-348)/(-36)) + -1*8. Which is the closest to l? (a) -30 (b) -5 (c) 0.1 (d) 2 c Let x = -144366.9 - -144367. Let h be 1/(-3)*(-2 - -1). Let r = 8 + -3. Which is the closest to x? (a) r (b) h (c) 0.2 c Suppose -4*h - 2*s - 26 = 0, 2*h + 226 = -2*s + 210. Let x = 0.02 + 0.08. Let i = -0.8 - 0.2. Which is the closest to -1? (a) h (b) i (c) x b Let q = -99 - -499/5. Let n = -0.007 + 0.557. Let k = 1.45 + n. What is the nearest to -2/7 in -3/2, k, q? q Let y(q) = -89*q - 797. Let b be y(-9). What is the closest to -0.1 in -1/4, -1/2, 2/5, b? -1/4 Let w = 45047 + -45045. Let o = -0.2 + 2.2. Which is the nearest to w? (a) o (b) 0.2 (c) 1/2 (d) 4 a Let g(f) = 2*f**2 - 31*f - 305. Let b be g(23). What is the closest to 4 in 4, b, 4/7, 2? 4 Let x = 1.1 - 2.1. Let w be ((-76)/20 + 4)*(-45)/(-6). Which is the nearest to -3? (a) -1/5 (b) w (c) x c Suppose 4 = -2*n - 3*j, -33*n - 3*j + 8 = -37*n. What is the nearest to 0.236 in n, -4, -0.5? -0.5 Suppose 0 = 4*y - 4699 + 4715. Which is the closest to -0.1? (a) 15/8 (b) 4 (c) y (d) 3 a Suppose 0 = d + 3*q - 88, -d - 3*q = 2*q - 90. Let l = 84 - d. Let o be ((-1)/2*-2)/4. What is the closest to l in 0.2, o, 5? 0.2 Let f = -3661.7 - -3662. Let p be 1/(2 - (-21)/(-9)). Let w be (p/9)/(4/(-20)). Which is the nearest to f? (a) -2/7 (b) 3 (c) w a Let x be 2 + (0 - 21/9). Let p be (-3)/(-9) - (36/8 - (-6358)/(-1428)). What is the closest to p in -1, 0.1, -0.06, x? 0.1 Let i = 9.3 + 19. Let o = 28 - i. Let d = -21766/7 + 3110. What is the closest to d in 0.4, o, 5? 0.4 Let w = 995/39 + -323/13. Which is the closest to 1? (a) 83 (b) -24 (c) w c Let m = -20661 - -20656. Which is the closest to 1? (a) -259 (b) -2/3 (c) -1 (d) m b Let u = -11 + 12. Let s = 2/30167 + 90493/120668. Which is the closest to u? (a) -5 (b) -1 (c) s (d) -0.4 c Suppose -35 = -4*j - 5*t, -10*j + 6*j + 4*t = -8. Let n = -0.18 - -42.18. Which is the closest to n? (a) 0.3 (b) j (c) 0.2 b Let o = -44.129 - -0.529. Let v = o + 44. What is the closest to -1/2 in 5, -0.05, v? -0.05 Let l be (-1 + 0)/((-6)/210). Let x = 73 - l. Suppose 7 = -5*w - x. Which is the nearest to 2/7? (a) w (b) 5 (c) 0 c Let x be (824/10)/((-6)/15). Let v = -209 - x. Suppose k = 2*k - 5. What is the nearest to 0.01 in -0.2, k, v? -0.2 Let z = -870 - -870.0633. Let k = 4.9367 + z. Which is the nearest to -1/3? (a) k (b) -15 (c) 3 c Let p = 0.05 + 4.95. Let y = 0.2 + -0.2. Let t = -4650 + 9299/2. Which is the closest to y? (a) t (b) 4 (c) p a Let h be 10*1/25*2. What is the closest to 10 in -65, -1, 2, h? 2 Let m = -0.3628 - -0.5628. Which is the nearest to 1? (a) 0.3 (b) -2/13 (c) m a Let t = 204 + -579. Let j = t + 3373/9. Let g be (1 - 2) + 22/16. Which is the nearest to -0.1? (a) j (b) 5/6 (c) g a Let f = -0.6 - -0.5. Let t = -3279 - -3278.45. Which is the closest to t? (a) 0.1 (b) f (c) 5 b Let u = 5 + -9. Let q(s) = -172*s - 2404. Let t be q(-14). Let n be (-2)/t - u/(-24). Which is the nearest to 1? (a) -3/4 (b) n (c) -4 b Let l = 5.153 - 0.003. Let u = l + -3.15. Which is the closest to -2/3? (a) u (b) 0.1 (c) -32 (d) -2/17 d Let i = -796 - -796. Let u = 1.5 + -1.4. Let n = 43/6 + -7. What is the closest to n in i, -0.3, u? u Let m(f) = -f**2 - 23*f + 9. Let s be m(-23). Suppose 0 = -s*y + 8*y + 351. Let r = -2101/6 + y. What is the nearest to r in 3, 2/3, 2/5? 2/3 Let x = 154 - 175.4. Let n = x - -21. Let v be 2 - ((-80)/(-13) + -4). What is the nearest to 1 in v, -4, n? v Let p = -0.4 - 0.6. Let m be 4 + (-176)/60 + 6/(-9). Let i = 105 - 105.3. Which is the nearest to p? (a) m (b) i (c) 0.1 b Let p = -73 + 805/11. Let z = 67278 - 134557/2. What is the closest to -5 in z, 2, p? z Let f be (-154)/(-616)*2*(-3)/54. Suppose o = 2*p + 6, 3*p + 5*o - 2*o = 0. Which is the closest to 0.2? (a) p (b) f (c) -3 b Let p = -67 + 83. Let m = 20 - p. Let z = 3.37 + -0.37. Which is the closest to -1? (a) z (b) m (c) 1 c Let n(x) = -78*x - 2728. Let z be n(-35). Let g = 0 - -0.2. What is the closest to g in 0.1, z, 0? 0.1 Let y(o) = -3*o**2 + 23*o - 48. Let i be y(6). Let l = -5 + 3. What is the closest to l in 3, -2/9, i? -2/9 Let o = 333.9866 - -0.0134. Let r = 333.9 - o. What is the closest to -2 in r, 2, 0.04? r Let r = 9471.9244 + -9472. What is the nearest to 0.1 in 1/7, r, -4, 4/7? 1/7 Let y be 9 - (-124)/(-12) - (-1 + 0). Which is the closest to 1? (a) 1 (b) -6 (c) -2/9 (d) y a Let l = -16.88 + 17.9. Let w = l + 2.98. Which is the closest to -1/4? (a) -4 (b) w (c) 7 a Let u = -1.553 + 1.353. Which is the nearest to -14? (a) 0.2 (b) 1/3 (c) -3 (d) u c Let n = -279 - -96. Let v = -1282/7 - n. What is the closest to 0.1 in 0.2, -6, v? 0.2 Let p(m) = 3*m**2 + 9*m + 10. Let l be (-1 - 0)*(-4)/(-11 + 7). Let b be p(l). Let s be (-1)/4*(-1)/(-2). What is the closest to 1 in s, b, 0.5? 0.5 Suppose 24731 = 14*x + 23709. What is the nearest to 0 in 1, 0, -3/7, x? 0 Let d be 37/72 + (-14)/28. Let p = d + -109/72. What is the closest to p in 4, -2/13, 3? -2/13 Let q = -0.3 - -0.5. Let d = -3186426/7 - -455203. What is the closest to 0 in 0, q, d? 0 Let q = 1802 - 1801.8074. Let w = 0.0074 + q. Which is the nearest to -1? (a) 2/5 (b) -2/9 (c) w (d) -0.1 b Let m(y) = y**3 - 34*y**2 + 166*y + 61. Let o be m(28). Let b = 0.01 - -2.99. Let n = b - 3.5. What is the nearest to 1/2 in o, n, -3? n Let p = 27 + -22. Let f = 27.49 + -27.19. Which is the nearest to 3/2? (a) f (b) 3/7 (c) p b Let o = -5/474 + 313/2212. Let h = o + -5/12. Which is the nearest to -0.1? (a) h (b) -6 (c) -3 a Suppose -5*n + 4*m + 111 = 0, -3*n + 6*m = 2*m - 57. What is the nearest to -1 in 0.5, n, -3/5, -0.2? -3/5 Let z = -518 - -516. Let a be 9 - 1266/114 - z. What is the nearest to 0.1 in 2, -0.1, a? -0.1 Let j = 12 + 1. Let h = -13.4 + j. Let s = 13.14 + -13.34. Which is the nearest to 3/2? (a) s (b) h (c) -0.1 c Le
{ "pile_set_name": "DM Mathematics" }
- 10918 Let m(k) be the first derivative of -7*k**4/12 - 106*k - 45. Let j(c) be the first derivative of m(c). Let u(y) = -11*y. Give j(u(i)). -847*i**2 Let x(z) be the second derivative of -81*z**3/2 + 7*z**2/2 - z + 226. Let m(j) = -2*j**2. Calculate m(x(s)). -118098*s**2 + 6804*s - 98 Let u(h) = 46*h. Let a be 9*3/((-54)/(-28)). Let v(q) = a*q + 9*q - 22*q. Give v(u(f)). 46*f Let o(j) = -291*j. Suppose -18*a + 176 = -220. Let z(q) = 5*q + a*q - 29*q. Calculate o(z(r)). 582*r Let n(j) = -8*j**2 - 3. Let o(a) = 9*a**2 + 4. Let i(q) = -4*n(q) - 3*o(q). Let m be 7/35 + (-124482)/(-15). Let b(u) = 8299 + u - m. What is i(b(k))? 5*k**2 Let m(y) = 60*y - 131. Let f(s) = 55*s. Give m(f(i)). 3300*i - 131 Let o be -28114*(-1)/(4/24*3). Let g(h) = h**2 - o + 56228. Let b(s) = 57*s**2. Determine g(b(f)). 3249*f**4 Let l(x) = 546 + 371*x - 626 - 369*x. Let b(v) = 11*v**2. Calculate l(b(s)). 22*s**2 - 80 Let a(d) = -10*d. Let k(i) = -1152478*i**2. Give k(a(b)). -115247800*b**2 Let x(w) = -87*w**2. Let s(b) = -1613*b + 316. Give s(x(m)). 140331*m**2 + 316 Let x(b) be the third derivative of -b**4/3 + 9*b**2 - 282*b - 1. Let v(j) = 439*j. Determine v(x(p)). -3512*p Let l(h) = h. Let s(r) = -3*r - 9. Let c be s(-4). Suppose v + c*v - 1348 = 0. Let o(g) = -171 + v - 166 - 6*g. Calculate o(l(n)). -6*n Let k(a) be the third derivative of -a**4/3 - a**3/6 + 19*a**2. Let l(g) be the third derivative of g**5/20 + 150*g**2. Give k(l(n)). -24*n**2 - 1 Suppose 4971*v + 3 = 4972*v. Let t(n) be the second derivative of 0 + 0*n**2 - 21*n - 13/3*n**v. Let x(l) = 2*l**2. Calculate x(t(d)). 1352*d**2 Let o(r) = r. Let z(v) = -5*v - 8395941. Calculate z(o(k)). -5*k - 8395941 Let g(f) = 9*f + 5*f - 25*f + 8*f + 8*f. Let s be ((-33)/(-2))/((-9)/(-12)). Let l(d) = -s + 22 + 2*d**2. Determine l(g(r)). 50*r**2 Let k(v) = 15*v**2 + 11. Let p be (-7 - 6/(-2))*-2. Let s(z) = 7*z**2 + 0 - 2 - p*z**2 + 1. Let q(w) = 4*k(w) + 44*s(w). Let f(a) = -2*a**2. What is f(q(r))? -512*r**4 Let q be -29*(0 + 1)*-1. Suppose 98 = 56*a - 14. Let j(w) = -q*w**2 + w - a*w + w. Let c(n) = -n**2. Calculate j(c(p)). -29*p**4 Let m(x) = -261*x**2. Let z = 54 - -7. Let b(g) = z*g + 60*g - 175*g + 56*g. Determine m(b(y)). -1044*y**2 Let a(q) = -163*q**2. Let m(b) = -2*b**2 + 6*b. Let s(o) = -24*o. Let t(f) = -4*m(f) - s(f). What is t(a(w))? 212552*w**4 Let t(x) = -7*x**2. Suppose 27*f - 1000 = -13*f. Suppose -2*o + 145 = 3*o. Let g(k) = -51*k + f*k + o*k. Calculate g(t(a)). -21*a**2 Let v(q) = -6*q + 4. Let p(w) = 6*w - 3. Let j(y) = 4*p(y) + 3*v(y). Let d(m) be the first derivative of 10*m**3/3 - 8. Give d(j(n)). 360*n**2 Let w(a) be the first derivative of -a**2/2 + 1822. Let u(n) = 1510*n. Calculate w(u(g)). -1510*g Let s(z) = 2*z - 246 + 130 + 116. Let o(k) = 171*k - 22. Give s(o(f)). 342*f - 44 Let m(n) = -9260*n. Let z(r) = -892*r**2. Determine m(z(o)). 8259920*o**2 Let k(p) = 146149*p. Let d(s) = 7*s. Determine d(k(r)). 1023043*r Let q(j) = -j**2. Let g(t) be the second derivative of 2173*t**4 - 18*t - 412. Give q(g(i)). -679957776*i**4 Let v(y) = -y**2. Let k(h) be the second derivative of -3185*h**4/6 + 5971*h + 1. Determine k(v(n)). -6370*n**4 Let x be (13384/(-32))/(-7) + (-2)/(-8). Let n(l) = -119*l**2 + x*l**2 + 60*l**2. Let s(w) = -w**2 - 1158*w + 1158*w - 26. What is n(s(b))? b**4 + 52*b**2 + 676 Suppose 3*q - 22*q + 38 = 0. Let x(t) = -2*t - 6*t - 4*t + 4*t - q*t. Let i(u) = -5*u. Calculate x(i(s)). 50*s Let c(v) = 10*v - 5. Let h(i) = -5*i + 3. Let r(g) = 3*c(g) + 5*h(g). Let m(n) = 3330*n - 6585*n + 3255*n + 19*n**2. Calculate r(m(l)). 95*l**2 Let t(l) = -70*l + 26*l - 67*l + 114*l. Let a(y) = -y**2 - 5*y + 2. Let i be a(-4). Let d(k) = -3*k + 3*k - i*k. Calculate d(t(h)). -18*h Let p(l) = 2*l. Let q(f) be the second derivative of 161*f**3/6 + 369*f. Give p(q(b)). 322*b Let z = 270 + -263. Let r(n) = 3*n - 5. Let k(w) = 4*w - 7. Let i(d) = z*r(d) - 5*k(d). Let g(o) = 159*o**2. Give g(i(t)). 159*t**2 Let y(u) = 6*u**2 - 1. Let l(v) be the second derivative of -v**6/180 - 8*v**3 + v**2 - v + 4. Let z(s) be the second derivative of l(s). What is z(y(x))? -72*x**4 + 24*x**2 - 2 Let h(l) = 20237100*l**2. Let x(z) = 6*z**2. Determine h(x(s)). 728535600*s**4 Let q = -21809/3 + 7270. Let n(s) be the first derivative of 0*s**2 + 15 + q*s**3 + 0*s. Let f(u) = 2*u**2 - 15*u. Calculate f(n(x)). 2*x**4 - 15*x**2 Let z(s) = 72*s - 29. Let j(k) = 63*k - 26. Let u(b) = 7*j(b) - 6*z(b). Let i(t) = -6*t. What is i(u(n))? -54*n + 48 Let o(z) = z**2 - 9*z - 8. Let u be o(10). Suppose i = 3*x - u, -3*i + 5*i = 2. Let h(v) = x - 1 + 16*v - 21*v. Let r(j) = -3*j. What is r(h(p))? 15*p Let v(x) = 8855*x. Let o(r) = 44*r**2 + r - 179. Calculate o(v(p)). 3450085100*p**2 + 8855*p - 179 Let y(i) = 1985*i. Let l(g) = 446586*g**2 - 2. Determine y(l(w)). 886473210*w**2 - 3970 Let c(b) = 7*b. Let q(t) = -5790*t**2 + 58*t + 1. Determine q(c(l)). -283710*l**2 + 406*l + 1 Let k(p) = 2*p. Let t(u) = 11434*u + 419. What is k(t(f))? 22868*f + 838 Let f(v) be the third derivative of 0*v**4 + 28*v**2 + 0*v**3 + 0 - 227/60*v**5 + 0*v. Let k(y) = -2*y. Determine f(k(l)). -908*l**2 Let w(a) = 19*a**2. Let v(q) = -q**2 + 3*q. Let r(i) = -5*i**2 + 3*i. Let b(l) = 2*r(l) - 3*v(l). Calculate w(b(g)). 931*g**4 + 798*g**3 + 171*g**2 Suppose 3*k + 5*b = 50, -4*b + 20 = k + b. Let q(m) = 7*m + m - k*m + 5*m. Let c(t) = -118*t**2. Give c(q(o)). -472*o**2 Let n(h) = 0*h**2 + 0*h**2 - h**2. Let f(o) = -1 - 2 + 1262*o - 1250*o. What is n(f(u))? -144*u**2 + 72*u - 9 Let w(f) = 7*f**2 + 5*f + 147. Let i(q) = -60*q + 53. What is i(w(h))? -420*h**2 - 300*h - 8767 Let t(v) = 313*v. Let z(k) be the first derivative of -k**4/12 + 3*k**2/2 - 8*k - 36. Let a(w) be the second derivative of z(w). Calculate a(t(x)). -626*x Let a(r) = -21*r. Let i(n) = -4523533*n. Calculate i(a(w)). 94994193*w Let i(p) = -4*p + 5. Let f(g) be the third derivative of -11*g**5/30 + 22*g**2 + 2*g. Calculate i(f(x)). 88*x**2 + 5 Let s(v) = 4*v - 5. Let p(z) = 3*z - 4. Let m(t) = 5*p(t) - 4*s(t). Let h(u) = -79*u. Let y(w) = 79*w. Let n(d) = -6*h(d) - 5*y(d). Give m(n(k)). -79*k Let x(p) = -33*p**2 - 1. Let w(v) = 594*v**2 + 442*v. Determine w(x(z)). 646866*z**4 + 24618*z**2 + 152 Let o(q) = -15 - 10*q**2 - 18 + 42 - 9. Let c(i) = -6*i**2. Determine o(c(j)). -360*j**4 Let w(l) = 2*l + 44 + 43 - 135 + 48. Let t(v) = v - 464. Determine t(w(d)). 2*d - 464 Let a(f) be the third derivative of -f**5/30 - 289*f**2. Let g(n) be the second derivative of n**3/3 - 8*n**2 + 4*n. What is g(a(p))? -4*p**2 - 16 Let i(m) = 2*m - 37. Let x be ((-12)/21)/((-40)/140). Let k(t) = 12*t**2 + 250*t - 250*t - 11*t**x. Calculate i(k(j)). 2*j**2 - 37 Let n(z) = 64890456*z. Let l(c) = 2*c. What is l(n(o))? 129780912*o Let l(a) be the second derivative of a**5/30 - 5*a**2 + 8*a - 3. Let d(v) be the first derivative of l(v). Let z(q) = 111*q**2. Give z(d(y)). 444*y**4 Let i(q) = -3*q - 845095. Let o(p) = 16*p. What is o(i(x))? -48*x - 13521520 Suppose 36 = 415*c - 403*c. Let u(g) be the third derivative of 2*g**2 + 1/12*g**4 + 1/3*g**c + 0*g + 0. Let z(s) = 2*s**2. Determine u(z(o)). 4*o**2 + 2 Let c(b) = -2*b**2. Let q(u) = 1277*u + 3155. Give q(c(o)). -2554*o**2 + 3155 Let r(z) = 4*z**2. Let l be (-2)/5 - 23/(920/(-2496)). Let q = 64 - l. Let v(m) = 9*m**q - 7586*m + 7586*m. What is v(r(d))? 144*d**4 Suppose -64*s + 65*s - 17 = -f, 5*s - 4*f = 49. Let j(r) = -12*r - s*r + 50*r - 8*r - 18*r. Let o(b) = 3*b - 7. Give j(o(y)). -3*y + 7 Suppose 7*w = 30*w - 69. Let t(b) = w*b - 16*b - 7*b. Let a(l) = -l**2. Calculate t(a(f)). 20*f**2 Let u(z) = 3140271*z. Let f(r) = -34*r + 1. Calculate f(u(w)). -106769214*w + 1 Let q(z) = 8*z. Let j(r) = 431*r**2 + 274*r**2 - 716*r**2. Give q(j(w)). -88*w**2 Let t(b) = 58*b + 42988. Let y(n) = -2*n. Give t(y(p)). -116*p + 42988 Let c(t) = 6*t - t**2 - 3*t + 11*t**2 - 3*t. Let o(d) = 2*d**2 - 6*d. Calculate o(c(l)). 200*l**4 - 60*l**2 Let c(b) = 67*b**2. Let z(v) = -13*v + 740. Calculate z(c(k)). -871*k**2 + 740 Let y(g) = -518107*g**2. Let p(o) = 3*o**2. Give p(y(n)). 805304590347*n**4 Let c(n) = 3059924*n. Let w(j) = -j**2. Give w(c(m)). -9363134885776*m**2 Let a(m) = 120*m**2. Let i(w) = -63*w - 11. Let g(q) = 280*q + 49. Let u(j) = -11*g(j) - 49*i(j). Calculate a
{ "pile_set_name": "DM Mathematics" }
42282, 42551, 42940, 43473? 4*b**3 + 25*b + 41926 What is the f'th term of -17, 4, 83, 256, 559? 6*f**3 - 7*f**2 - 16 What is the i'th term of -2821, -2858, -2915, -2992? -10*i**2 - 7*i - 2804 What is the p'th term of 211, 360, 509, 658, 807? 149*p + 62 What is the n'th term of 593, 632, 685, 758, 857, 988, 1157? n**3 + n**2 + 29*n + 562 What is the c'th term of 224, 11, -212, -451, -712? -c**3 + c**2 - 209*c + 433 What is the p'th term of 2, 13, 24, 35, 46, 57? 11*p - 9 What is the q'th term of 2597, 5194, 7791, 10388? 2597*q What is the j'th term of 1148, 1158, 1174, 1196, 1224, 1258? 3*j**2 + j + 1144 What is the d'th term of -18501, -18497, -18493, -18489? 4*d - 18505 What is the t'th term of 2903, 2904, 2915, 2942, 2991? t**3 - t**2 - 3*t + 2906 What is the l'th term of 447, 1825, 4125, 7341, 11467, 16497, 22425? -l**3 + 467*l**2 - 16*l - 3 What is the k'th term of 518, 1106, 1838, 2786, 4022, 5618, 7646, 10178? 12*k**3 + 504*k + 2 What is the q'th term of -127, -607, -1409, -2533, -3979? -161*q**2 + 3*q + 31 What is the b'th term of 433, 528, 621, 712? -b**2 + 98*b + 336 What is the j'th term of -576, -719, -862? -143*j - 433 What is the l'th term of -636, -1488, -2558, -3846, -5352? -109*l**2 - 525*l - 2 What is the r'th term of -82, -131, -170, -193, -194, -167, -106, -5? r**3 - r**2 - 53*r - 29 What is the o'th term of -38, -242, -772, -1790, -3458? -27*o**3 - o**2 - 12*o + 2 What is the v'th term of -142, -502, -1106, -1948, -3022, -4322, -5842, -7576? v**3 - 128*v**2 + 17*v - 32 What is the m'th term of -5245, -5252, -5259, -5266? -7*m - 5238 What is the r'th term of 112, 259, 406, 553, 700, 847? 147*r - 35 What is the t'th term of -34, -55, -24, 77, 266? 3*t**3 + 8*t**2 - 66*t + 21 What is the m'th term of -13677, -13699, -13721, -13743? -22*m - 13655 What is the h'th term of 23, 254, 883, 2114, 4151? 34*h**3 - 5*h**2 + 8*h - 14 What is the q'th term of -107296, -214591, -321896, -429217, -536560? -q**3 + q**2 - 107291*q - 5 What is the s'th term of 126, 178, 282, 462, 742, 1146? 4*s**3 + 2*s**2 + 18*s + 102 What is the d'th term of -116, -969, -3286, -7799, -15240? -122*d**3 + d + 5 What is the p'th term of 158775, 158767, 158745, 158703, 158635, 158535, 158397? -p**3 - p**2 + 2*p + 158775 What is the a'th term of 21, 54, 117, 216, 357, 546? a**3 + 9*a**2 - a + 12 What is the p'th term of -726, -699, -660, -609, -546, -471? 6*p**2 + 9*p - 741 What is the a'th term of 31, 41, 51, 61, 71, 81? 10*a + 21 What is the r'th term of 196706, 196708, 196710, 196712? 2*r + 196704 What is the t'th term of 179, 675, 1493, 2633, 4095, 5879? 161*t**2 + 13*t + 5 What is the c'th term of 567, 4230, 14179, 33558, 65511, 113182? 524*c**3 - c**2 - 2*c + 46 What is the g'th term of -2059, -4059, -5925, -7591, -8991, -10059, -10729, -10935? 11*g**3 + g**2 - 2080*g + 9 What is the s'th term of -17, -51, -141, -317, -609? -5*s**3 + 2*s**2 - 5*s - 9 What is the n'th term of -2421, -3334, -4247? -913*n - 1508 What is the x'th term of 189846, 189845, 189844, 189843, 189842, 189841? -x + 189847 What is the t'th term of -221367, -442735, -664103, -885471, -1106839, -1328207? -221368*t + 1 What is the l'th term of 3, -12, -29, -48, -69, -92? -l**2 - 12*l + 16 What is the q'th term of 1829626, 1829631, 1829636, 1829641, 1829646? 5*q + 1829621 What is the w'th term of 130934, 130931, 130928, 130925, 130922? -3*w + 130937 What is the b'th term of -71, -455, -839, -1223? -384*b + 313 What is the n'th term of -1334, -1332, -1306, -1256, -1182, -1084, -962? 12*n**2 - 34*n - 1312 What is the z'th term of -5213, -10454, -15697, -20942, -26189? -z**2 - 5238*z + 26 What is the n'th term of -981, -4130, -9371, -16698, -26105? n**3 - 1052*n**2 + 70 What is the g'th term of 234, 327, 292, 129? -64*g**2 + 285*g + 13 What is the t'th term of -3925, -7842, -11759, -15676, -19593? -3917*t - 8 What is the y'th term of 218956, 218958, 218960, 218962? 2*y + 218954 What is the m'th term of -57598, -460798, -1555200, -3686404, -7200010, -12441618, -19756828, -29491240? -57600*m**3 - m**2 + 3*m What is the d'th term of -958297, -958296, -958295, -958294, -958293, -958292? d - 958298 What is the a'th term of -795, -6520, -22073, -52368, -102319? -819*a**3 + 8*a + 16 What is the w'th term of -9228, -18444, -27660, -36876? -9216*w - 12 What is the n'th term of 15955, 31908, 47861, 63814, 79767? 15953*n + 2 What is the x'th term of -9087, -18131, -27201, -36309, -45467, -54687, -63981, -73361? -2*x**3 - x**2 - 9027*x - 57 What is the s'th term of 8183, 8330, 8579, 8936, 9407? s**3 + 45*s**2 + 5*s + 8132 What is the r'th term of 81360, 162773, 244186? 81413*r - 53 What is the n'th term of 1443, 2890, 4343, 5802, 7267, 8738, 10215? 3*n**2 + 1438*n + 2 What is the z'th term of -4685, -9572, -14471, -19388, -24329, -29300? -z**3 - 4880*z + 196 What is the m'th term of 7371, 14654, 21925, 29178, 36407, 43606, 50769? -m**3 + 7290*m + 82 What is the d'th term of -2897, -2313, -1729, -1145? 584*d - 3481 What is the g'th term of 1011, 1558, 2105? 547*g + 464 What is the s'th term of 1645, 2960, 4275? 1315*s + 330 What is the x'th term of 1, 62, 125, 190? x**2 + 58*x - 58 What is the t'th term of 275, 598, 929, 1268, 1615? 4*t**2 + 311*t - 40 What is the p'th term of 701, 1246, 2153, 3422, 5053, 7046, 9401? 181*p**2 + 2*p + 518 What is the q'th term of 429, 466, 529, 624, 757? q**3 + 7*q**2 + 9*q + 412 What is the c'th term of 191, 864, 1977, 3524, 5499, 7896? -c**3 + 226*c**2 + 2*c - 36 What is the m'th term of -1081, -2132, -3185, -4240, -5297? -m**2 - 1048*m - 32 What is the b'th term of 151575, 303157, 454741, 606327, 757915, 909505, 1061097? b**2 + 151579*b - 5 What is the f'th term of 220, 260, 300? 40*f + 180 What is the l'th term of -344, -1365, -3074, -5477, -8580, -12389? -l**3 - 338*l**2 - 5 What is the z'th term of -70, -256, -686, -1480, -2758? -20*z**3 - 2*z**2 - 40*z - 8 What is the r'th term of 2512, 10045, 22600, 40177? 2511*r**2 + 1 What is the u'th term of -40010, -40038, -40064, -40088, -40110, -40130, -40148? u**2 - 31*u - 39980 What is the x'th term of -586, -1207, -1852, -2521, -3214, -3931? -12*x**2 - 585*x + 11 What is the g'th term of 6143013, 6143015, 6143027, 6143055, 6143105? g**3 - g**2 - 2*g + 6143015 What is the n'th term of -87, -163, -229, -279, -307, -307? n**3 - n**2 - 80*n - 7 What is the a'th term of -114, -244, -452, -744, -1126, -1604? -a**3 - 33*a**2 - 24*a - 56 What is the n'th term of -2620, -10678, -24106, -42904, -67072, -96610, -131518? -2685*n**2 - 3*n + 68 What is the o'th term of -1228674, -1228677, -1228682, -1228689, -1228698, -1228709, -1228722? -o**2 - 1228673 What is the f'th term of 68, 341, 886, 1775, 3080, 4873? 12*f**3 + 64*f**2 - 3*f - 5 What is the z'th term of 27700, 27701, 27702, 27703, 27704, 27705? z + 27699 What is the b'th term of -29252, -58535, -87818, -117101? -29283*b + 31 What is the a'th term of -258, -227, -232, -291, -422? -3*a**3 + 52*a - 307 What is the l'th term of 1020081, 1020076, 1020069, 1020060, 1020049, 1020036? -l**2 - 2*l + 1020084 What is the u'th term of -3310, -6618, -9930, -13246, -16566, -19890, -23218? -2*u**2 - 3302*u - 6 What is the n'th term of -74, -162, -262, -374, -498? -6*n**2 - 70*n + 2 What is the v'th term of 94245, 94244, 94243? -v + 94246 What is the k'th term of 2981, 11882, 26717, 47486, 74189, 106826, 145397? 2967*k**2 + 14 What is the f'th term of 251, 733, 1225, 1721, 2215, 2701, 3173, 3625? -f**3 + 11*f**2 + 456*f - 215 What is the x'th term of 1481548, 1481549, 1481550? x + 1481547 What is the a'th term of -180451, -360897, -541343, -721789, -902235? -180446*a - 5 What is the p'th term of 28355, 28345, 28339, 28337, 28339, 28345, 28355? 2*p**2 - 16*p + 28369 What is the i'th term of 18, 11, 16, 33, 62, 103, 156? 6*i**2 - 25*i + 37 What is the h'th term of 52931, 52939, 52947, 52955, 52963, 52971? 8*h + 52923 What is the a'th term of -117692, -235386, -353080, -470774, -588468? -117694*a + 2 What is the n'th term of -376, -595, -850, -1159, -1540, -2011? -3*n**3 - 198*n - 175 What is the w'th term of 306, 401, 456, 459, 398? -2*w**3 - 8*w**2 + 133*w + 183 What is the h'th term of 19289, 38575, 57861, 77147? 19286*h + 3 What is the i'th term of 183, -171, -1129, -2991, -6057, -10627,
{ "pile_set_name": "DM Mathematics" }
3/9 - 110*d**2/9 + 152*d/9 + 2240/9. -2*(d - 5)*(d + 4)*(d + 56)/9 Factor 5*m**2 + 14585*m + 29150. 5*(m + 2)*(m + 2915) What is n in n**3/2 - 105*n**2/2 - 503*n - 1140 = 0? -5, -4, 114 Find x such that -5*x**4 - 240*x**3 - 3090*x**2 - 5480*x - 2625 = 0. -25, -21, -1 Factor -c**3 - 1124*c**2 + 1125*c. -c*(c - 1)*(c + 1125) Factor d**4/2 + 90221*d**3/2 + 1017501160*d**2 + 1017456050*d. d*(d + 1)*(d + 45110)**2/2 Factor -2*l**4 - 68*l**3 - 536*l**2 - 1392*l - 1152. -2*(l + 2)**2*(l + 6)*(l + 24) Factor w**2/2 + 508*w + 238743/2. (w + 369)*(w + 647)/2 Factor -5*k**2/3 - 2270*k/3 - 66080. -5*(k + 118)*(k + 336)/3 Suppose -c**2/2 + 14071*c/2 + 21111 = 0. Calculate c. -3, 14074 Factor -16*z**2 - 142*z/3 + 2. -2*(z + 3)*(24*z - 1)/3 Determine z so that 15*z**5/2 - 312*z**4 + 204*z**3 + 11472*z**2 - 17064*z - 8640 = 0. -6, -2/5, 2, 6, 40 Solve -4*j**4 - 8356*j**3 - 4637640*j**2 - 280982000*j + 285628000 = 0. -1010, -70, 1 Factor 3*f**4 - 1020*f**3 - 75459*f**2 - 285324*f. 3*f*(f - 403)*(f + 4)*(f + 59) Factor n**2 - 138480*n - 138481. (n - 138481)*(n + 1) Let 2*g**2/13 + 5126*g/13 + 454664/13 = 0. Calculate g. -2471, -92 Let -u**2/4 - 45*u - 1584 = 0. What is u? -132, -48 Factor 4*w**3 + 16688*w**2 - 33392*w. 4*w*(w - 2)*(w + 4174) Let -5*q**2 + 9765*q - 549550 = 0. Calculate q. 58, 1895 Suppose t**5 - 3157*t**4 - 17*t**3 + 53705*t**2 - 113672*t + 63140 = 0. Calculate t. -5, 1, 2, 3157 Find r such that 2*r**3 + 944*r**2 + 3752*r + 3744 = 0. -468, -2 Solve -5*k**3 - 400*k**2 + 835*k + 1230 = 0 for k. -82, -1, 3 Solve -5*d**4 + 8250*d**3 + 24780*d**2 + 24790*d + 8265 = 0 for d. -1, 1653 Factor 3*q**2 + 60687*q. 3*q*(q + 20229) Factor -j**3/5 + 621*j**2/5 - 1223*j/5 - 1857. -(j - 619)*(j - 5)*(j + 3)/5 Find n such that -3*n**3/2 - 228*n**2 + 13662*n = 0. -198, 0, 46 Solve -22*g**5/13 - 458*g**4/13 - 3436*g**3/13 - 10976*g**2/13 - 11968*g/13 + 2560/13 = 0 for g. -8, -5, -4, 2/11 Let 72*y**5 + 2308*y**4 - 52568*y**3 + 24508*y**2 + 25680*y = 0. Calculate y. -428/9, -1/2, 0, 1, 15 Let -k**5 + 2185*k**4 - 10906*k**3 + 13080*k**2 = 0. What is k? 0, 2, 3, 2180 Let -d**5/7 - 671*d**4/7 - 1042*d**3 - 22464*d**2/7 - 15840*d/7 = 0. Calculate d. -660, -6, -4, -1, 0 What is o in 3*o**3 - 13563*o**2 - 149556*o = 0? -11, 0, 4532 Factor -4*z**3 + 102*z**2 + 1876*z - 6438. -2*(z - 37)*(z - 3)*(2*z + 29) Solve -84*s**4 - 297*s**3 + 1155*s**2 - 558*s - 216 = 0 for s. -6, -1/4, 1, 12/7 Solve 14*v**2 - 22322*v + 9564 = 0 for v. 3/7, 1594 Factor 2*g**3/15 - 964*g**2/15 - 7826*g/15 - 1372/3. 2*(g - 490)*(g + 1)*(g + 7)/15 Factor -1422*f**3 + 2578*f**2 - 890*f - 266. -2*(f - 1)**2*(711*f + 133) Factor -g**2/4 + 14467*g/4 - 14465/2. -(g - 14465)*(g - 2)/4 Determine f so that f**2/2 + 11284*f + 63664328 = 0. -11284 Find x such that x**4/3 + 211187*x**3/3 - 351984*x**2 + 1689532*x/3 - 844768/3 = 0. -211192, 1, 2 Find o, given that -2*o**2 + 27784*o - 96493832 = 0. 6946 Factor -2*x**4/3 + 2696*x**3/3 + 10808*x**2/3 + 10816*x/3. -2*x*(x - 1352)*(x + 2)**2/3 Find u, given that -5*u**4 - 4175*u**3 + 8405*u**2 + 29315*u + 16740 = 0. -837, -1, 4 Factor -2*a**2/7 + 527456*a/7. -2*a*(a - 263728)/7 Determine h, given that -8*h**4/3 - 24100*h**3/3 - 12028*h**2/3 + 60232*h/3 - 8032 = 0. -3012, -2, 1/2, 1 Factor 2*p**3 + 296*p**2 + 14560*p + 237952. 2*(p + 44)*(p + 52)**2 Determine g, given that 28*g**5 + 3632*g**4 - 39792*g**3 + 73792*g**2 - 17920*g = 0. -140, 0, 2/7, 2, 8 Solve -49005*s**4 - 25878600*s**3 - 3417543440*s**2 - 276038400*s - 5575680 = 0. -264, -4/99 Factor -3*f**4 - 132*f**3 - 585*f**2. -3*f**2*(f + 5)*(f + 39) Determine p so that -5*p**4 + 18940*p**3 - 37865*p**2 + 18930*p = 0. 0, 1, 3786 Suppose d**3/6 - 4243*d**2/6 - 8489*d/6 - 1415/2 = 0. Calculate d. -1, 4245 Suppose l**4 + 1909*l**3 + 928915*l**2 + 16929675*l - 17860500 = 0. What is l? -945, -20, 1 Let 4*d**2 + 3460*d + 6904 = 0. What is d? -863, -2 Suppose 5*g**3 - 18545*g**2 - 111425*g - 92875 = 0. Calculate g. -5, -1, 3715 Factor 2*s**2/19 + 296*s + 56040/19. 2*(s + 10)*(s + 2802)/19 Factor 224*n**3/15 - 5818*n**2/15 + 7540*n/3 + 338/5. 2*(n - 13)**2*(112*n + 3)/15 Factor -w**4 - 30*w**3 + 207*w**2 + 4576*w. -w*(w - 13)*(w + 11)*(w + 32) Let -3*m**5 + 966*m**4 - 4764*m**3 + 2838*m**2 + 4767*m - 3804 = 0. What is m? -1, 1, 4, 317 Factor f**3 + 105160*f**2. f**2*(f + 105160) What is h in -2*h**4/7 + 4*h**3 + 360*h**2/7 + 1188*h/7 + 1242/7 = 0? -3, 23 What is i in -i**2 - 8473*i - 16942 = 0? -8471, -2 Solve 2*j**2/7 + 278676*j/7 + 9707539122/7 = 0. -69669 Factor k**3 + 2522*k**2 + 1670080*k + 99526944. (k + 66)*(k + 1228)**2 Determine r, given that 63*r**4 + 1947*r**3/2 + 2064*r**2 + 1437*r/2 - 39 = 0. -13, -2, -1/2, 1/21 Factor s**2/7 - 27462*s/7 + 188540361/7. (s - 13731)**2/7 Find x such that -x**4 + 3*x**3 + 205*x**2 - 1503*x + 1296 = 0. -16, 1, 9 Determine f so that -3*f**2 + 42342*f - 42339 = 0. 1, 14113 Determine h so that -60*h**4 + 11942*h**3 - 396*h**2 - 398*h = 0. -1/6, 0, 1/5, 199 Let -3*a**3 - 4473*a**2 - 1678437*a - 8280735 = 0. What is a? -743, -5 Suppose -2*k**4/11 + 94*k**3/11 - 1182*k**2/11 - 2006*k/11 + 80920/11 = 0. Calculate k. -7, 17, 20 Let -2*j**3/21 + 68*j**2/21 + 82*j/21 - 20 = 0. What is j? -3, 2, 35 Find z such that -5*z**4 - 6830*z**3 + 47985*z**2 - 96070*z + 54920 = 0. -1373, 1, 2, 4 Factor 2*k**2 - 182*k + 3300. 2*(k - 66)*(k - 25) Factor 6*o**3/5 + 1547274*o**2/5 + 618906*o + 1547262/5. 6*(o + 1)**2*(o + 257877)/5 Factor 2*f**4 - 12*f**3 - 424*f**2 + 4080*f - 6400. 2*(f - 10)**2*(f - 2)*(f + 16) Find b such that b**2/3 + 95582*b/3 + 2283979681/3 = 0. -47791 Let -5*l**3 + 19915*l**2 + 119670*l = 0. Calculate l. -6, 0, 3989 Determine o so that 2*o**3 - 280*o**2 + 3784*o + 473344 = 0. -32, 86 Factor 2*x**3/3 - 188*x**2/3 - 3088*x/3 + 2304. 2*(x - 108)*(x - 2)*(x + 16)/3 Let -8*t**5/7 - 62*t**4 - 2796*t**3/7 - 3184*t**2/7 + 716*t + 1410/7 = 0. What is t? -47, -5, -3, -1/4, 1 Solve -3*q**5/2 - 195*q**4/2 + 9723*q**3 + 9915*q**2 - 19443*q/2 - 19635/2 = 0 for q. -119, -1, 1, 55 Determine y, given that 4*y**2 - 1976*y - 3968 = 0. -2, 496 Let 2*j**2 + 658*j - 72384 = 0. Calculate j. -416, 87 What is h in h**2/2 - 17129*h + 273936 = 0? 16, 34242 Factor -4*g**3 + 14596*g**2 - 13366140*g + 92849148. -4*(g - 1821)**2*(g - 7) Factor 12*d**3/5 - 7173*d**2/5 - 1794*d/5. 3*d*(d - 598)*(4*d + 1)/5 Suppose 5*j**4 - 190*j**3 - 5415*j**2 = 0. What is j? -19, 0, 57 Let -f**2/4 + 101*f/4 - 627 = 0. Calculate f. 44, 57 Find o, given that 9*o**5 + 42*o**4 - 165*o**3 - 1062*o**2 - 1344*o - 480 = 0. -4, -1, -2/3, 5 Solve 162*n**5 - 35874*n**4 - 20044*n**3 + 14216*n**2 - 1776*n = 0. -1, 0, 2/9, 222 Determine z so that -434*z**3/15 + 640*z**2/3 + 7702*z/15 + 1356/5 = 0. -1, 2034/217 Find g, given that -3*g**2/2 - 444*g + 7488 = 0. -312, 16 Suppose -v**5/4 + 687*v**4/2 - 342*v**3 - 3431*v**2/2 - 4119*v/4 = 0. What is v? -1, 0, 3, 1373 Suppose 7018*m**3/5 + 62*m**2 - 12*m/5 = 0. What is m? -2/29, 0, 3/121 Determine j, given that 4*j**3/3 - 1388*j**2/3 + 22068*j - 284796 = 0. 27, 293 What is q in q**4/6 + 1591*q**3/6 - 802*q**2/3 - 3184*q = 0? -1592, -3, 0, 4 Let 2*k**2/7 - 95048*k/7 - 380224/7 = 0. What is k? -4, 47528 Let -g**3 - 11*g**2 - 20*g + 32 = 0. What is g? -8, -4, 1 Solve -3*s**5/4 + 447*s**4/4 - 17487*s**3/4 + 65109*s**2/4 - 39765*s/2 + 7866 = 0 for s. 1, 2, 69, 76 Solve -36*l**5 + 49776*l**4 + 16628*l**3 - 44240*l**2 - 22128*l = 0. -2/3, 0, 1, 1383 Factor -5*c**3 - 21222*c**2 + 375092*c + 153432. -(c - 18)*(c + 4262)*(5*c + 2) Factor -2*b**4/11 + 1828*b**3/11 - 39118*b**2 + 5758200*b/11 - 19845000/11. -2*(b - 450)**2*(b - 7)**2/11 Find c, given that -2*c**3 + 72*c**2 - 256*c = 0. 0, 4, 32 Factor 305*j**3 - 5540*j**2 + 900*j. 5*j*(j - 18)*(61*j - 10) What is l in 2*l**3/11 + 146*l**2/11 + 284*l/11 = 0? -71, -2, 0 Factor -t**2/6 + 1034*t/3 - 2065/2. -(t - 2065)*(t - 3)/6 Find f, given that -5*f**4 + 90*f**3 + 6840*f**2 + 75670*f + 237405 = 0. -19, -7, 51 Factor -52325*f**2 - 11740*f - 500. -5*(35*f + 2)*(299*f + 50) What is q in 5*q**5 - 3505*q**4 - 75925*q**3 + 82925*q**2 + 75920*q - 79420 = 0? -22, -1, 1, 722 Solve -8*n**3/5 + 322*n**2/5 - 2768*n/5 + 672/5 = 0. 1/4, 12, 28 Let -5*h**5 + 1995*h**4 - 189670*h**3 - 1893120*h**2 + 2080800*h = 0. What is h? -10, 0, 1, 204 Factor 3*t**4 + 205053*t**3. 3*t**3*
{ "pile_set_name": "DM Mathematics" }
s 141 divide ((-3078)/(-4))/57*(-8324)/(-6)? False Let s be 36/(-66) - (-282)/33. Suppose s*d - 71 - 1145 = 0. Is d a multiple of 6? False Let q = 310 - 308. Suppose -4*a - q*a + 2394 = 0. Is a a multiple of 22? False Suppose a = -14*x + 11568, 0 = -26*x + 28*x - 8. Does 108 divide a? False Suppose 15*v - 20*v - 2243 = -4*g, 0 = 3*g + 5*v - 1691. Does 2 divide g? True Suppose -125077 + 34299 = -5*u + 3*n, -3*n = 5*u - 90772. Is 15 a factor of u? False Let t(o) = -26788*o**3 - 12*o**2 - 1. Does 35 divide t(-1)? True Is 53860/3 + -26 + (-1992)/(-72) a multiple of 95? True Let w = 29 + -61. Let g = w - -43. Suppose -g = -3*r - 4*q + 85, 0 = q. Does 4 divide r? True Suppose 3*y - 2*g = 46, 5*y = -g + 73 + 21. Suppose 8*h + 4310 = y*h. Is h a multiple of 14? False Suppose 1815 = 3*n - 5*x, -n + 4*n - x = 1827. Suppose -7*f = -2*f - 4*s - 637, -5*s = 5*f - n. Is 30 a factor of f? False Suppose -r = -4*a - 143, 5*r - r + 4 = 0. Let n be (96/(-36))/(1/a). Suppose -4*p + n = -0*p. Does 7 divide p? False Suppose 0 = 5*v - 3*b - 652, -v + 6*v = 4*b + 656. Suppose 0 = 4*m - 628 - v. Does 27 divide m? True Let b = 461 - 456. Suppose b*w = 571 + 779. Is 25 a factor of w? False Suppose -18*q - 44 = -22*q. Suppose q*x + 1482 = 8*x. Let s = -212 - x. Is 53 a factor of s? False Let h(w) = -7*w**3 - 12*w**2 - 227*w + 22. Is h(-10) a multiple of 14? True Is 7899 - (-3 + -2 - 3 - -11) a multiple of 8? True Suppose -2*t + 0 = -38. Suppose 5*u = c - t, -3*c + 10 = c + 2*u. Suppose -4*k - 4*v + 596 = 0, -3*v = c*k - 976 + 381. Does 37 divide k? True Let j = -13 - -16. Suppose 2*s + j*s = 3*v - 15, 0 = -5*s. Suppose -12*l + v*l + 1120 = 0. Is 16 a factor of l? True Let o = -39 - -60. Let r be o/14 + (-6)/4. Is 16 a factor of r/(-1) - 4 - -36? True Is 11 a factor of (-39)/52 - -2*(-4462)/(-16)? False Let m(t) be the third derivative of -t**4/24 + 182*t**3/3 - 22*t**2. Does 28 divide m(0)? True Let k be ((-247)/39)/(1/7)*-12. Is (-13)/((-26)/8) + k/1 a multiple of 25? False Suppose -13 = -5*w - 2*j - j, -2*j = -3*w + 23. Let r(n) = -4*n + 3*n - 12 - 3*n + 2*n**2. Is r(w) a multiple of 6? True Let u(j) = -j**3 - 17*j**2 + 38*j + 4. Let x be u(-19). Suppose 0 = 2*t, x*p - 452 = -5*t - 140. Is 39 a factor of p? True Let b(s) = -s**3 - 3*s**2 - s - 1. Let m(z) = z + 1. Let u be m(-4). Let v be b(u). Suppose -2*r - 4*f + 64 = 0, -5*f = -v*r + 6*r - 116. Is r a multiple of 12? True Let u = -9568 - -16177. Is 33 a factor of u? False Let i be 9/15 - 143/5. Let r = i + 31. Suppose 0 = -r*a - 3*m + 213, -2*a + 152 = -3*m + 7*m. Is 22 a factor of a? True Suppose 4*g = 5*u - 23, -4*u + 7 = -2*g - 9. Suppose 375 = 3*p - 3*f, 3*f = u*p + f - 379. Is p a multiple of 13? False Let z = 509 + 0. Let g = z + -187. Does 46 divide g? True Let l(n) = -9*n + 16. Let h be l(6). Let f = h - -46. Is (-4194)/(-72) - 2/f a multiple of 35? False Let m = 7460 - 6088. Is 14 a factor of m? True Suppose -39*t = -38*t - 3. Suppose -l + 62 = 4*a, -346 = -5*l + a - t*a. Suppose -5*w - v = -387, l = -5*w + v + 463. Is 6 a factor of w? True Let n(v) = v**2 + 14*v + 13. Let k be n(-13). Suppose k = 8*b - 184 - 960. Let o = 293 - b. Does 30 divide o? True Let b(w) be the first derivative of 139*w**2/2 - 14*w + 48. Is 13 a factor of b(3)? True Let y = -7 + 13. Let x = -6 - -346. Suppose 10*c - x = y*c. Is 8 a factor of c? False Suppose 13*w = 5*w. Suppose w = -2*g - 126 + 156. Does 15 divide g? True Is 98 a factor of 3 + (-2 - 9 - (-35804 - -7))? False Let d(x) = x**3 + 7*x**2 + 4*x + 12. Let u be d(-5). Let j be u/9 + (-5)/(-15). Suppose -410 = -j*h - 160. Is h a multiple of 5? True Let l = 119 - 113. Let q be 620/l - -1 - (-12)/(-36). Is 20 a factor of ((-15)/2)/((-13)/q)? True Let y be -602 - -12 - (2 - 0). Let p = -216 - y. Is 58 a factor of p? False Let j = 871 - -2913. Does 12 divide j? False Is -5 + (-970)/(-190) - (-6192)/19 a multiple of 34? False Let y(i) = 540*i**2 - 10*i + 11. Is 2 a factor of y(1)? False Suppose 3*k + 5*i - 2 = 0, -4*k + i = 5*i - 8. Is 2 a factor of -1 + (1 - -1)*k? False Suppose -70 = 19*f - 33*f. Suppose -18*h + 17*h + f*o = -184, 4*o = -3*h + 571. Is h a multiple of 21? True Let z(f) be the second derivative of 17*f**3/6 - 5*f**2 + 5*f - 10. Does 14 divide z(36)? True Let z be (12/(-18))/(3/(-9)). Let j be -4 + z/11 + (-582)/(-66). Suppose -369 = -j*q + 291. Is q a multiple of 7? False Suppose -5*n - 2*z = -81758, 5*z = n - 15307 - 1050. Does 7 divide n? True Let z = 99 + -331. Let u = z + 274. Is u a multiple of 4? False Suppose -17*i + 8*i = -12096. Is 32 a factor of i? True Let o(f) = -f**2 + 69*f - 148. Is 12 a factor of o(55)? False Suppose -10*l + 2*x = -5*l - 23, -x = -1. Suppose s + 4*c = -0*c + 81, -l*c = -s + 108. Is s a multiple of 31? True Let d = 86 + -90. Let j be (-558)/(-15) - d/(-80)*4. Let i = -17 + j. Is i a multiple of 3? False Suppose 3060 = 3*a - 2*s - 2874, a - s = 1977. Is a a multiple of 165? True Let q(i) = -4*i**3 + i**2 - 1. Suppose 0 = g + 5, 0 = -2*a + 5*g + 8 + 15. Let h be q(a). Suppose -h*y = -7*y + 234. Does 13 divide y? True Let s = 4 - -35. Suppose b + s = w - 6*w, b = 4*w + 33. Let i(q) = -q + 10. Is 6 a factor of i(w)? True Let v be ((-12)/54 + (-1)/36)*44. Does 16 divide (7842/(-9))/(v/(66/4))? False Let o(y) = -9*y**2 + 6*y - 3. Let a(c) = c**2 - c + 1. Let m(i) = 4*a(i) + o(i). Let x be m(-1). Let r(k) = -29*k - 22. Does 37 divide r(x)? False Let r(k) = k**3 + 7*k**2 + k + 8. Let d be r(-7). Suppose -118 + d = -9*z. Suppose 0 = -9*b + z*b - 336. Does 28 divide b? True Suppose -w + 97 - 29 = 0. Suppose -h + 4*s = -52, -h - 5*s = -s - w. Suppose -5*l = -n - h, 4*l + 13 = -4*n + 61. Is l even? True Suppose -1043 = -g - 350. Suppose -4*r + g + 771 = 0. Is r a multiple of 6? True Does 9 divide (-12 - 6)/(3*(-16)/10440)? True Suppose -w - 2*w = 5*w. Let n(x) = -4*x - x**3 + 8 + w*x**3 - 3 - 3*x + 11*x**2. Does 17 divide n(6)? False Let x(q) = 63*q + 2467. Is x(16) a multiple of 5? True Suppose 0*m + 4*o = 3*m - 1226, 0 = -5*m + o + 2066. Suppose t + 2*w = 142, -139 = 2*t + w - m. Is t a multiple of 26? False Suppose -199*a = -524*a + 820950. Does 3 divide a? True Let b = 10 - 5. Let s be b/(-10)*6 - 16. Let q = -15 - s. Is 2 a factor of q? True Let y(x) = 4*x**2 - 5*x - 5. Let s be y(-2). Suppose 6*v = s + 147. Does 7 divide v? True Let t = 809 - 801. Let v be (-4)/(-1) + 2/2. Suppose i = v*i - t, 4*i + 432 = 2*n. Is 11 a factor of n? True Let l(q) = 12400*q**3 - 47*q**2 + 47*q + 2. Does 106 divide l(1)? True Is 45 a factor of 10352 - (7 - 8)/(-2)*4? True Suppose -1006*v + 14598 = -997*v. Is v a multiple of 4? False Suppose 0 = -5*w + m + 18662, -4*m = -3*w - m + 11190. Is 34 a factor of w? False Does 10 divide (571 + -65)*39/6? False Suppose -c + 5*c = 16, -c = -5*p - 9. Let t(w) = 83*w**2 - w. Is t(p) a multiple of 16? False Let g = 3742 + -3413. Does 7 divide g? True Let p(s) = -10*s - 14. Let v be p(-4). Let g = v - 24. Suppose -g*c + w - 16 = -107, 260 = 5*c + 4*w. Is c a multiple of 10? False Suppose -8733*d + 8737*d - 15796 = 0. Is d a multiple of 24? False Let a(u) = -37*u**3 + u**2 + 5*u - 9. Is 24 a factor of a(-3)? True Let x(w) = -23*w - 7. Let m be x(6). Let q = m + 230. Suppose -q = -4*s + 359. Is s a multiple of 11? False Let o(h) = h**3 + h - 113. Let k(b) = b**3 + 5*b**2 - 3*b - 15. Let a be k(-5). Let u be o(a). Let m = 241 + u. Is 32 a factor of m? True Let l(r) be the first derivative of 4*r**3/3 + r**2/2 - 4*r + 6. Let u be l(-3). Suppose 4*a - 3*a + 3*c - u = 0, 4*c - 28 = -a. Is 16 a factor of a? True Let k = 33559 - 24787. Is k a multiple of 102? True Suppose -20*o + 25*o = 75. Let q(b) = 3*b - 11. Is 6 a factor of q(o)? False Let q = -285 - -257. Let k = 510 + q. Does 16 divide k? False Let c = 111904 - 52957. Is c a multiple of 128? False Let g be 198/495 + (-7536)/(-10). Suppose -2*h + g = -3*p, -3*p - 1 = 5. Is h a multiple of 11? True Suppose v = -4*y + 1953, -2*y - 979 = -4*y - v. Let q = y - 137. Does 25 divide q? True Suppose -2*p - 38*m = -33*m - 618, -4*m + 306 = p. Suppose -650 = -324*i + p*i. Is 13 a factor of i? True Let p = -10 + 10. Let c(v) = 19*v**3 - 6*v**2 + 6*v + 23. Let o(a) = -4*a**3 + a**2 - a + 1. Let k(j) = c(j) + 5*o(j). Is k(p) a multiple of 2? True Let k(u) = 22*u**2 - 10*u - 7. Let n(h
{ "pile_set_name": "DM Mathematics" }
: 2, x: 3, k: 3, t: 3}. Give prob of picking 1 k and 1 x. 3/26 Three letters picked without replacement from {r: 2, h: 1, z: 6, f: 2, n: 2, b: 4}. Give prob of picking 2 n and 1 z. 3/340 Calculate prob of picking 2 d and 1 p when three letters picked without replacement from jzjgjpgdjpdgggg. 2/455 Two letters picked without replacement from {j: 2, p: 2, t: 1, g: 7}. What is prob of picking 1 j and 1 g? 7/33 Two letters picked without replacement from {m: 3, g: 3, h: 3, c: 4, s: 4, q: 3}. What is prob of picking 1 c and 1 m? 6/95 What is prob of picking 2 s when two letters picked without replacement from mfssmffmmmssmfssm? 15/136 What is prob of picking 2 z when two letters picked without replacement from {y: 2, z: 2}? 1/6 What is prob of picking 3 i when three letters picked without replacement from {i: 7, b: 3, m: 2}? 7/44 Three letters picked without replacement from sgqqwwiqq. Give prob of picking 1 w and 2 q. 1/7 Four letters picked without replacement from {d: 4, g: 3, o: 13}. What is prob of picking 1 d and 3 o? 1144/4845 Two letters picked without replacement from krkrrsrssazykkkk. What is prob of picking 1 y and 1 a? 1/120 Calculate prob of picking 3 d when three letters picked without replacement from eeddeeedeee. 1/165 Two letters picked without replacement from {n: 2, i: 2}. Give prob of picking 1 i and 1 n. 2/3 Four letters picked without replacement from {d: 3, a: 5, x: 3, e: 1, p: 1, m: 2}. Give prob of picking 1 p, 2 a, and 1 d. 2/91 What is prob of picking 2 v and 2 g when four letters picked without replacement from {c: 5, g: 2, v: 9}? 9/455 Two letters picked without replacement from {z: 3, s: 2, b: 5, o: 10}. Give prob of picking 2 b. 1/19 What is prob of picking 3 b and 1 h when four letters picked without replacement from {h: 3, b: 9, g: 4, i: 2}? 7/85 Three letters picked without replacement from aarrvaaargqrgar. What is prob of picking 1 q and 2 g? 1/455 Three letters picked without replacement from {r: 7, t: 6, m: 1}. Give prob of picking 2 t and 1 r. 15/52 Four letters picked without replacement from {d: 2, j: 2, r: 2}. What is prob of picking 2 r and 2 d? 1/15 Three letters picked without replacement from {a: 6, c: 4}. Give prob of picking 1 a and 2 c. 3/10 What is prob of picking 3 f and 1 j when four letters picked without replacement from jjjjfff? 4/35 Two letters picked without replacement from eeggggg. What is prob of picking 2 e? 1/21 Calculate prob of picking 1 t, 1 d, and 1 w when three letters picked without replacement from wdwmtmmwsmddmwddmdtd. 14/285 Three letters picked without replacement from {o: 7, p: 6}. What is prob of picking 2 o and 1 p? 63/143 What is prob of picking 2 t and 1 u when three letters picked without replacement from {t: 6, u: 7}? 105/286 What is prob of picking 3 u when three letters picked without replacement from {u: 7, y: 4}? 7/33 Four letters picked without replacement from lxxllxllxlxxxllxlxl. What is prob of picking 2 l and 2 x? 135/323 Calculate prob of picking 2 y and 2 e when four letters picked without replacement from {y: 2, r: 4, e: 10}. 9/364 Two letters picked without replacement from {y: 1, s: 7}. What is prob of picking 1 s and 1 y? 1/4 Three letters picked without replacement from {l: 6, p: 2, t: 2, a: 1}. What is prob of picking 1 a, 1 p, and 1 t? 4/165 Four letters picked without replacement from eeqqqqqqqq. What is prob of picking 2 q and 2 e? 2/15 Two letters picked without replacement from bba. What is prob of picking 1 b and 1 a? 2/3 Three letters picked without replacement from oooooookoooccco. Give prob of picking 2 c and 1 o. 33/455 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {i: 4, y: 7}. 28/55 Four letters picked without replacement from dddvvvvvvvvvdv. What is prob of picking 3 v and 1 d? 480/1001 What is prob of picking 3 t and 1 u when four letters picked without replacement from fktumtkttttkuutu? 1/13 What is prob of picking 1 u and 1 p when two letters picked without replacement from mpuu? 1/3 Calculate prob of picking 2 w when two letters picked without replacement from {w: 7, b: 4}. 21/55 Four letters picked without replacement from wwspswpwspsssswps. Give prob of picking 2 s and 2 p. 6/85 What is prob of picking 1 c and 2 t when three letters picked without replacement from fcjtjttt? 3/28 Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, r: 2, m: 10}. 1/91 Two letters picked without replacement from sso. What is prob of picking 1 s and 1 o? 2/3 Three letters picked without replacement from qqqqqfqfyqqkmwkkyq. What is prob of picking 1 y, 1 q, and 1 f? 3/68 What is prob of picking 1 h, 1 p, and 2 b when four letters picked without replacement from {i: 1, b: 1, p: 1, l: 2, g: 1, h: 1}? 0 Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {w: 6, f: 13}. 65/323 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 1, r: 11}. 1/6 Four letters picked without replacement from fnfffnffffffnfff. What is prob of picking 3 f and 1 n? 33/70 What is prob of picking 1 r and 3 k when four letters picked without replacement from bekeejrrebrrjjkk? 1/455 Four letters picked without replacement from zjjzzjzjzzjjj. Give prob of picking 2 j and 2 z. 63/143 Four letters picked without replacement from jjajjjjajjjjj. Give prob of picking 4 j. 6/13 Calculate prob of picking 2 v and 1 i when three letters picked without replacement from ibbbbvbvvv. 1/20 What is prob of picking 1 z, 1 u, and 1 p when three letters picked without replacement from pzupufpznzzzupjpz? 9/68 What is prob of picking 3 g when three letters picked without replacement from {i: 4, g: 6}? 1/6 Calculate prob of picking 2 e when two letters picked without replacement from {b: 8, e: 5, x: 4}. 5/68 What is prob of picking 2 l and 2 f when four letters picked without replacement from {l: 5, f: 2}? 2/7 Three letters picked without replacement from alhhhyyayhhymhygm. What is prob of picking 1 m, 1 g, and 1 y? 1/68 Three letters picked without replacement from {p: 1, f: 6, k: 4, n: 2, d: 3}. Give prob of picking 3 d. 1/560 Four letters picked without replacement from {r: 9, f: 2, v: 5}. Give prob of picking 4 v. 1/364 Three letters picked without replacement from {z: 2, u: 3}. What is prob of picking 3 u? 1/10 Three letters picked without replacement from nqqvqnnq. Give prob of picking 3 n. 1/56 Three letters picked without replacement from {m: 2, p: 2, a: 1, x: 2, o: 1}. What is prob of picking 2 m and 1 o? 1/56 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 2, e: 2, z: 1, d: 5, y: 4, o: 1}. 4/105 Calculate prob of picking 1 v and 3 n when four letters picked without replacement from {n: 6, j: 4, v: 3, q: 1}. 60/1001 What is prob of picking 4 y when four letters picked without replacement from tyyyyyxyiyyyyyxyy? 143/476 Three letters picked without replacement from kkkk. Give prob of picking 3 k. 1 Three letters picked without replacement from rrbrbbrbbbbrb. What is prob of picking 2 b and 1 r? 70/143 What is prob of picking 2 f and 2 g when four letters picked without replacement from fgfgfgfffgfggg? 63/143 Four letters picked without replacement from qfqqfqfo. Give prob of picking 4 q. 1/70 Two letters picked without replacement from skooioyyyoookoyiyyy. Give prob of picking 1 o and 1 s. 7/171 What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 5, p: 3, s: 2}? 2/9 What is prob of picking 2 f when two letters picked without replacement from {q: 3, k: 1, c: 7, j: 4, f: 3}? 1/51 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from fooowfxfqffooo. 5/91 Two letters picked without replacement from {k: 2, q: 1, y: 1, b: 1, d: 1, i: 2}. Give prob of picking 2 i. 1/28 Four letters picked without replacement from {v: 2, s: 2, k: 3, o: 2, e: 1, a: 2}. Give prob of picking 1 s, 1 e, and 2 a. 2/495 Two letters picked without replacement from {k: 4, d: 4, q: 7}. Give prob of picking 1 k and 1 q. 4/15 Calculate prob of picking 1 p and 1 n when two letters picked without replacement from fyyttfynypty. 1/66 Four letters picked without replacement from rvv
{ "pile_set_name": "DM Mathematics" }
he closest to 24 in -0.3, r, 2/3? 2/3 Let p be (-4)/22 + (-152)/(-352). Let d = -2/17 + 48/119. Which is the nearest to 0.1? (a) p (b) d (c) -5 a Let q = -34 - -33.8. What is the closest to 1 in -2, q, 1/5? 1/5 Let t = -30 + 26. Which is the nearest to 0? (a) t (b) -3/2 (c) 3 b Let i = 2 + -2. Which is the nearest to i? (a) -0.4 (b) 0.5 (c) 6 a Let i be 1 + (3 + -2)*2. Let n be -2 + (i + -2 - -1). Suppose -2*h - 2 + 10 = -5*s, -h - 5*s + 4 = n. What is the nearest to 1/2 in 1/3, h, 5? 1/3 Let o = -22 - -21.9. Suppose v = -v + 254. Let f = v - 638/5. Which is the closest to -1/8? (a) f (b) 4 (c) o c Let v = 0 + 0. Suppose v = -3*a - 3. Let g be 2/(-20)*(5 + a). What is the closest to 0.1 in 2/5, 0, g? 0 Let i(n) = 2*n**3 - 6*n**2 - 2*n - 4. Let h be i(5). Let y = 175/2 - h. Let s = 0.3 + -0.4. What is the nearest to y in s, 2/17, -2? 2/17 Suppose 2*w + 0*w = 30. Suppose -2*z - s - 5 = 0, 2*s = -5*z - w + 4. Let o = 1 + z. Which is the nearest to o? (a) -2/11 (b) -0.3 (c) 4/9 a Let v = 0.84 + 0.16. Let y = 2/169 - -163/507. Which is the closest to v? (a) 1 (b) y (c) 0.1 a Let f = -0.05 + -0.35. Suppose 2*v + 1 + 2 = -3*j, 2*j + 13 = -5*v. Let o = -2 - -2.5. What is the closest to 1/4 in f, j, o? o Let o = 52 - 54. Let k = 3 + -4. What is the nearest to 0 in -5, o, k? k Let s = 11/91 + -9/13. Which is the closest to 1/2? (a) 5 (b) 2/5 (c) s b Suppose -5*f = 5*v + 65, -4*v + 25 = -9*v. Let r be 138/(-8) - (-6)/f. Let s = r + 53/3. What is the nearest to 1 in 1/2, 2, s? 1/2 Let h = 11 + -16. Which is the nearest to -1? (a) 2/5 (b) h (c) -0.1 c Let w = -33.8 - -34. What is the closest to 0.3 in w, -0.1, 3? w Let h(p) = 4*p - 77. Let x be h(20). What is the closest to 0.6 in x, -3, -5? x Let s(w) = -w - 14. Let d be s(-10). Which is the nearest to -0.2? (a) 0 (b) d (c) -0.5 a Let b be -1 + -4 + 54/10. What is the nearest to 2/5 in b, 5, -2/9? b Let h = -7 + 10. Which is the nearest to -2/7? (a) h (b) -0.1 (c) -4 b Let i be (-2 - 2)/(6/(-9)). Suppose 0 - i = 2*l. What is the closest to 3 in l, -0.5, 0.3? 0.3 Let q = -0.4 + 0. Which is the nearest to -0.1? (a) -0.5 (b) 2/3 (c) q c Let v = 6.5 + 38.5. Let u = -49.1 + v. Let n = -0.1 - u. Which is the closest to -1/2? (a) 3/7 (b) n (c) -3 a Suppose 17*j = 23*j - 11*j. Let t = -113/40 - -21/8. Which is the closest to -2/7? (a) t (b) 3 (c) j a Suppose 5*k + b = 52, 0 = -5*k + 4*b + 7 + 35. Suppose 5*i = -k, -3*i - 2 = 3*f + i. What is the nearest to f in 2, -6/11, -2? 2 Let p = 2 - -2. Let l be 2/(-12)*-4*-6. Let s = l - -7. Which is the nearest to 0? (a) p (b) 5 (c) s c Let o = 0.5 + -0.2. Let d = -166 - -1161/7. Which is the nearest to 0? (a) o (b) d (c) -2 b Let z(m) = -2*m**2 - 16*m + 3. Let d be z(-9). Which is the closest to 0.1? (a) -1/3 (b) 3 (c) d a Let w = -2.7 - -0.7. What is the closest to -1/2 in 1/2, w, 0.4? 0.4 Suppose 7*w - 9*w = 10. What is the nearest to 5 in -2/3, w, -2? -2/3 Let m = -0.04 + -0.16. Let o = -1.62 - -0.02. Let l = -0.4 + o. Which is the closest to m? (a) l (b) 2/15 (c) -1 b Let t = -20 - -21. Which is the nearest to -1/3? (a) 4 (b) t (c) 0.5 c Let w = -1.9 - -1.5. Suppose m = -m + 2. Let d be 26/6 + m/(-3). Which is the nearest to -1? (a) -0.3 (b) d (c) w c Let u = -3 - -3.1. Let q be (-22)/(-165) + 219/45. Which is the nearest to -2/7? (a) u (b) q (c) 0.05 c Suppose k + 8 = o - 3*k, -36 = -2*o - 2*k. Suppose 2*t = -x + 2, 6*t = 3*t + 5*x + o. What is the nearest to 1/4 in t, -5, 1/4? 1/4 Let q = 3 + -2. Let p = 92 + -92.3. What is the closest to q in 4, p, -3? p Let d = 10 + -10.4. Let i be (-1)/2 + (-5)/6. Let s = 2.06 - 0.06. What is the nearest to 0 in i, d, s? d Let i(v) = -v - 3. Let o be i(-2). What is the nearest to o in 4, -1, 1/3? -1 Suppose 0 = v + v + 10. Let p = -6 - -4. Let t = p - -2.1. Which is the nearest to -2? (a) v (b) -1/5 (c) t b Let k = 1.7 - -0.3. Let r = -1 + k. Let x = -6 + 2. What is the nearest to 2/9 in x, 1/7, r? 1/7 Let z be (((-15)/1)/3)/(5 + -4). What is the closest to -1/26 in 2/3, z, 0.4? 0.4 Let f = 0.111 + 0.889. What is the closest to 0 in f, -5, 7? f Let f be 8*((-18)/(-4))/(-9). Let y = 447/5 - 90. Let j = -0.3 - -0.5. What is the nearest to -1/3 in j, y, f? y Let l be ((-55)/4)/((-4)/(-12)). Let f = 41 + l. Let i = 5 + -4.8. What is the closest to f in -1, i, -4? i Let p = -0.19 + 1.19. Which is the nearest to p? (a) -1/2 (b) -1 (c) 0 c Let f = -144 + 144. Which is the nearest to f? (a) 0 (b) 4 (c) 0.1 a Let n = -5 - -2. Let d be 2/n - 8/(-9). Let s = 6 + -2. What is the closest to -2 in d, -5, s? d Let p = -213 + 2342/11. Which is the closest to 1/3? (a) -5 (b) p (c) 4 b Let v be (1 - -4)/(3/3). Let s = -15 + 21. Let f = s + -3. What is the closest to -1 in 0.1, v, f? 0.1 Suppose y - 4*v - 11 = -2, 3*y + 4*v = 11. What is the closest to 2 in y, -2/5, 2? 2 Let r = -3.95 + -0.25. Let y = 4 + r. Let w = -0.3 - y. Which is the closest to w? (a) -3 (b) 5 (c) 0.5 c Let j = -2/525 - -533/2100. What is the closest to -1/2 in 2, 1, j? j Let v = 202/215 - 6/43. What is the nearest to 0.1 in -0.2, v, -2/7? -0.2 Let z(u) = -u**3 - u + 1. Let t be z(0). Which is the nearest to 0.1? (a) t (b) 2 (c) -0.3 c Suppose -4*l - 3*d + 21 = 0, -4*l + 3*d + 4 - 1 = 0. Let x be 7/l - 9/3. Which is the nearest to 1? (a) -2 (b) x (c) -5 b Let j be 68/(-70) + 4/10 + 0. What is the closest to j in -4, 3, 2/5? 2/5 Let r = -3 - -3. Let x = 1.5 + -1. Let g = x - r. Which is the nearest to 0.1? (a) g (b) -1 (c) -5 a Let q(b) = b**2 + 3*b + 2. Suppose -12 = 4*t - 0. Let a be q(t). Suppose -a = -2*j + 6. What is the closest to 0.1 in 5, -4, j? j Let f = 1776308494/6776355 + 2/451757. Let o = f - 262. Let m = -0.83 - -0.73. Which is the closest to m? (a) o (b) -5 (c) -0.2 c Let r = 107 + -112. Which is the closest to -1? (a) -1/4 (b) r (c) -2/11 a Let f be 22/(-99) - (-29)/9. Suppose 0 = -f*y - 0*y - 6. What is the closest to -2/7 in y, -3/2, 1? -3/2 Let u = 0.01 + -5.01. Which is the closest to 2? (a) 3 (b) -0.5 (c) u a Let x be -1 - (-45)/35 - 0. What is the closest to -1 in x, 0.1, 3? 0.1 Let v = 0.3 + 0.5. Let t = v + -0.7. What is the closest to t in 1, -2, -4? 1 Let q = -5 - -4. Let f = 0 + -0.1. Let o = f - -0.2. What is the closest to o in -0.3, q, 2/7? 2/7 Let c = 37.93 - 38. What is the nearest to -0.1 in -3, -3/4, c? c Let q = 85 - 84.97. Which is the nearest to -1? (a) -1/5 (b) 3 (c) q a Let y be (-6)/27 - (-14)/(-18). Let n = -0.6 - -5.6. Let v = 2 - 3. Which is the nearest to y? (a) v (b) n (c) 3/5 a Let l = 12 - 11.6. Let v = -5 + 9. Which is the closest to -1? (a) l (b) v (c) -1 c Let m be (-18)/52 + 26/(-169). Which is the closest to -1? (a) -8 (b) 3 (c) m c Let g = -7.85 + -0.15. Let d = g - -7.6. Let n = 2.96 - -0.04. Which is the nearest to 1? (a) d (b) n (c) -3 a Let y = 23.9 - 24. Which is the nearest to y? (a) -4 (b) 4 (c) -3 c Let i(q) = 2*q**2 + 23*q + 11. Let v be i(-11). Suppose -2*c + 3 = 3*f, -5*f + 30 = -5*c - 0*c. Suppose -f*r + 4 = r. What is the closest to v in 2, r, 3? r Let p = 5 + -9. What is the closest to 2 in p, -5, 1/3? 1/3 Let f(y) = -y + 3 + 5 - 4 - 5. Let n be f(-5). Which is the closest to -1? (a) n (b) 0.4 (c) 5 b Let v be 86*(0 - (-6)/(-4)). Let s be (-2)/(-9) - v/27. Let k be (s - 3)*1/4. Which is the nearest to -0.1? (a) -5 (b) k (c) -4/5 b Let p(w) = w**3 - 6*w**2 - 6*w - 6. Let s be 108/16 - (-1)/4. Let d be p(s). Which is the closest to -2/9? (a) 5 (b) -0.4 (c) d b Let l = 13.81 + 0.19. Let t = -13.7 + l. Which is the closest to 1? (a) -4 (b) -1/3 (c) t c Let x be (-15)/10*3/(-18). Let t = -2.7 - -3. Let y = 0 + t. Which is the closest to x? (a) -0.3 (b) -3 (c) y c Let y = 0.3 - 3.3. Let u = -11 + 14. Let v = 60/559 + 2/43. Which is the nearest to 0.1? (a) u (b) v (c) y b Suppose 22*l = 18*l - 12. Which is the nearest to 1/4? (a) l (b) 0.4 (c) -2 b Let b = -476.13 + 470. Let w = b + 0.13. Let z = w + 6.5. What is the nearest to 1 in 0.3, z, 0.2? z Let z = 0.135 - 0.035. What is the closest to 0.2 in -5/3, z, 1/3? z Let x be (16/84)/(2/(-3)). Which is the closest to 0.14? (a) 0.4 (b) x (c) 3 a Let x = 1.61 + 0.13. Let z = -0.26 - x. Which is the nearest to 2? (a) 0.3 (b) z (c) 0
{ "pile_set_name": "DM Mathematics" }
the square root of 4420 to the nearest integer? 66 What is 24514 to the power of 1/2, to the nearest integer? 157 What is the square root of 6370 to the nearest integer? 80 What is 19526 to the power of 1/8, to the nearest integer? 3 What is the square root of 49676 to the nearest integer? 223 What is 13782 to the power of 1/2, to the nearest integer? 117 What is the square root of 226 to the nearest integer? 15 What is the cube root of 1242 to the nearest integer? 11 What is the third root of 73467 to the nearest integer? 42 What is the third root of 11634 to the nearest integer? 23 What is the seventh root of 3195 to the nearest integer? 3 What is the fourth root of 9710 to the nearest integer? 10 What is the cube root of 1173 to the nearest integer? 11 What is the seventh root of 3554 to the nearest integer? 3 What is 91377 to the power of 1/5, to the nearest integer? 10 What is the square root of 4018 to the nearest integer? 63 What is 287 to the power of 1/6, to the nearest integer? 3 What is 10738 to the power of 1/4, to the nearest integer? 10 What is the square root of 1086 to the nearest integer? 33 What is 20105 to the power of 1/6, to the nearest integer? 5 What is 35 to the power of 1/5, to the nearest integer? 2 What is 29417 to the power of 1/2, to the nearest integer? 172 What is 12737 to the power of 1/3, to the nearest integer? 23 What is 4589 to the power of 1/4, to the nearest integer? 8 What is the cube root of 2115 to the nearest integer? 13 What is 595 to the power of 1/6, to the nearest integer? 3 What is 110275 to the power of 1/3, to the nearest integer? 48 What is 2045 to the power of 1/3, to the nearest integer? 13 What is the square root of 16496 to the nearest integer? 128 What is the third root of 31183 to the nearest integer? 31 What is 89273 to the power of 1/10, to the nearest integer? 3 What is the cube root of 8084 to the nearest integer? 20 What is 6939 to the power of 1/2, to the nearest integer? 83 What is 458 to the power of 1/10, to the nearest integer? 2 What is 2993 to the power of 1/7, to the nearest integer? 3 What is 66038 to the power of 1/2, to the nearest integer? 257 What is the seventh root of 19602 to the nearest integer? 4 What is the square root of 4133 to the nearest integer? 64 What is the third root of 7405 to the nearest integer? 19 What is the square root of 1033 to the nearest integer? 32 What is the square root of 192 to the nearest integer? 14 What is the third root of 281 to the nearest integer? 7 What is the square root of 2213 to the nearest integer? 47 What is 3804 to the power of 1/2, to the nearest integer? 62 What is the third root of 110764 to the nearest integer? 48 What is 27625 to the power of 1/4, to the nearest integer? 13 What is the third root of 3831 to the nearest integer? 16 What is the cube root of 379 to the nearest integer? 7 What is the cube root of 692 to the nearest integer? 9 What is 10234 to the power of 1/2, to the nearest integer? 101 What is 16114 to the power of 1/6, to the nearest integer? 5 What is the square root of 530 to the nearest integer? 23 What is 6217 to the power of 1/3, to the nearest integer? 18 What is the square root of 2574 to the nearest integer? 51 What is the sixth root of 2076 to the nearest integer? 4 What is the third root of 56442 to the nearest integer? 38 What is the tenth root of 6231 to the nearest integer? 2 What is the square root of 7563 to the nearest integer? 87 What is 6568 to the power of 1/2, to the nearest integer? 81 What is the ninth root of 1146 to the nearest integer? 2 What is the square root of 13622 to the nearest integer? 117 What is 1781 to the power of 1/8, to the nearest integer? 3 What is 22826 to the power of 1/3, to the nearest integer? 28 What is 11043 to the power of 1/2, to the nearest integer? 105 What is 67016 to the power of 1/2, to the nearest integer? 259 What is the tenth root of 199 to the nearest integer? 2 What is 4469 to the power of 1/8, to the nearest integer? 3 What is 1716 to the power of 1/3, to the nearest integer? 12 What is 20411 to the power of 1/2, to the nearest integer? 143 What is the eighth root of 397 to the nearest integer? 2 What is the fourth root of 2073 to the nearest integer? 7 What is 1078 to the power of 1/7, to the nearest integer? 3 What is the third root of 573 to the nearest integer? 8 What is the square root of 35524 to the nearest integer? 188 What is the third root of 1252 to the nearest integer? 11 What is the square root of 3125 to the nearest integer? 56 What is the square root of 180 to the nearest integer? 13 What is the eighth root of 8149 to the nearest integer? 3 What is the third root of 3394 to the nearest integer? 15 What is the cube root of 10519 to the nearest integer? 22 What is the eighth root of 466 to the nearest integer? 2 What is the third root of 851 to the nearest integer? 9 What is 56089 to the power of 1/9, to the nearest integer? 3 What is the seventh root of 4906 to the nearest integer? 3 What is the cube root of 167941 to the nearest integer? 55 What is the square root of 21468 to the nearest integer? 147 What is the square root of 767 to the nearest integer? 28 What is the tenth root of 1608 to the nearest integer? 2 What is 1216 to the power of 1/2, to the nearest integer? 35 What is 554 to the power of 1/3, to the nearest integer? 8 What is 18 to the power of 1/4, to the nearest integer? 2 What is the square root of 2731 to the nearest integer? 52 What is the third root of 563 to the nearest integer? 8 What is 5722 to the power of 1/6, to the nearest integer? 4 What is 68221 to the power of 1/9, to the nearest integer? 3 What is 44558 to the power of 1/8, to the nearest integer? 4 What is 6269 to the power of 1/7, to the nearest integer? 3 What is 2789 to the power of 1/3, to the nearest integer? 14 What is the eighth root of 1405 to the nearest integer? 2 What is the eighth root of 23095 to the nearest integer? 4 What is 1385 to the power of 1/2, to the nearest integer? 37 What is 137 to the power of 1/2, to the nearest integer? 12 What is 911 to the power of 1/8, to the nearest integer? 2 What is 1453 to the power of 1/3, to the nearest integer? 11 What is 1925 to the power of 1/2, to the nearest integer? 44 What is the cube root of 21141 to the nearest integer? 28 What is 74745 to the power of 1/8, to the nearest integer? 4 What is the third root of 14208 to the nearest integer? 24 What is 9114 to the power of 1/3, to the nearest integer? 21 What is the square root of 517 to the nearest integer? 23 What is 6327 to the power of 1/3, to the nearest integer? 18 What is 19946 to the power of 1/3, to the nearest integer? 27 What is the fourth root of 2165 to the nearest integer? 7 What is the third root of 6133 to the nearest integer? 18 What is 43009 to the power of 1/2, to the nearest integer? 207 What is 89571 to the power of 1/8, to the nearest integer? 4 What is 261 to the power of 1/5, to the nearest integer? 3 What is the square root of 8633 to the nearest integer? 93 What is the third root of 503 to the nearest integer? 8 What is the third root of 170272 to the nearest integer? 55 What is the square root of 7227 to the nearest integer? 85 What is the eighth root of 11357 to the nearest integer? 3 What is the cube root of 2390 to the nearest integer? 13 What is 2662 to the power of 1/3, to the nearest integer? 14 What is the third root of 12536 to the nearest integer? 23 What is the square root of 30 to the nearest integer? 5 What is 31 to the power of 1/3, to the nearest integer? 3 What is 20724 to the power of 1/8, to the nearest integer? 3 What is the square root of 74144 to the nearest integer? 272 What is the cube root of 62912 to the nearest integer? 40 What is 5398 to the power of 1/2, to the nearest integer? 73 What is the fifth root of 4913 to the nearest integer? 5 What is the third root of 12676 to the nearest integer? 23 What is the third root of 2011 to the nearest integer? 13 What is 1682 to the power of 1/2, to the nearest integer? 41 What is 258 to the power of 1/2, to the nearest integer? 16 What is the square root of 6910 to the nearest integer? 83 What is the eighth root of 23253 to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
5. Which is the nearest to -0.1? (a) i (b) w (c) -0.1 c Let c = 61 - 43. Let g be (2/15)/(6/c). What is the nearest to 0.1 in g, 0, -1? 0 Let o = 14/9 - 55/18. Let r = 0 + 2. Let k = -0.25 + -0.25. What is the nearest to r in k, 4, o? 4 Let n = -1/3 + -1/6. Let i = 47 + -44.1. Let t = i + -3. Which is the nearest to 1/2? (a) -3 (b) n (c) t c Let x = -2 + 3. Let h be (-44 - -47) + 37/(-7) + 2. Suppose l = -3 - 1. Which is the closest to h? (a) l (b) 5 (c) x c Let m = -68 + 67. Which is the nearest to -0.1? (a) 2 (b) m (c) -0.4 c Let d be (12/(-10) - -1)/(1/(-3)). Which is the closest to d? (a) -5 (b) -2 (c) -2/7 c Let m = -0.09 - -0.12. Let v = 10 - 9. What is the closest to m in 0.5, v, -3? 0.5 Let z be -1 + (-2)/(-4)*-2. Let a = -4 - -4.5. What is the nearest to z in 4, 5, a? a Let s = 182 + -2004/11. Let d = 24 - 108. Let x = d + 250/3. Which is the nearest to s? (a) 2/5 (b) -4 (c) x c Let g = -12 + 15. Let f = g + 2. Which is the nearest to f? (a) -5 (b) -1 (c) 2/7 c Let x = 0.4 + 2.6. Let u = -1 - x. Let l = 1 - 4. What is the closest to 1 in u, l, -1? -1 Let d = 49 - 13. Let b be (d/(-45))/((-1)/(-5)). What is the nearest to 1/4 in 2/7, 3/5, b? 2/7 Let z = -11 + -10. Let f = -17 - z. Which is the nearest to 1/4? (a) f (b) -1/6 (c) 0.4 c Let j = 24 + -26. Let a = 0.4 + -5.4. Let u = -3 - -2.8. What is the closest to u in -0.2, j, a? -0.2 Let b = -2.04 - -0.04. Let n = -0.4 - -0.3. What is the closest to -1 in 1/4, n, b? n Suppose -4*o + 3*o - 2*p = 6, p + 1 = 0. Let q be (-14)/63 + o/(-99). Which is the closest to 1/2? (a) 0.2 (b) -1/5 (c) q a Let t = -10/9 + 4/9. Let k = -4 - -8. Which is the nearest to t? (a) k (b) -1/4 (c) -0.5 c Let z(y) = 2*y + 5. Let i be z(0). Suppose -o + v = 2, -3*o - 5*v + 4 = 10. Which is the closest to 1? (a) 4/7 (b) i (c) o a Let p = -2/51 - 92/255. Let v be 7/(-22) + (-1)/(-2). What is the nearest to p in v, 4/5, -0.1? -0.1 Let b = 5.97 + -6. Let y = 0.37 - b. Let r = -0.03 - -5.03. What is the nearest to 1 in r, y, -2/7? y Let p(v) = 3*v. Let h be p(-1). Let o = 0.06 - -0.04. Let w = 0 - -0.2. What is the closest to o in -2, w, h? w Let m = 12/17 - 214/255. Let s = 17 + -23. Let o = s - -1. Which is the nearest to -0.1? (a) m (b) 5 (c) o a Let q be 3 - ((-35)/3)/(-5). Let z be ((-2)/12)/(4/32). Which is the nearest to q? (a) 2/3 (b) z (c) -0.3 a Let l be ((-1 - 1) + 1)/5. Let c = 23.3 - 23. What is the nearest to -2/5 in l, -1/6, c? l Let q = -13 + 8. Let f(x) = x**2 - 4*x + 6. Let u be f(4). Suppose 9*i = 7*i + u. What is the nearest to 2/3 in i, q, -2/5? -2/5 Let k(i) = -110764*i - 12. Let v be k(-8). Let f = v + -353554892/399. Let q = f - -50/21. Which is the nearest to -1? (a) q (b) -3/5 (c) 2/7 b Let w = 8 + -8.3. Let j = -0.4 - w. What is the nearest to j in -3, 4, -1? -1 Let f = 2.1 - 1.6. Which is the nearest to -1? (a) f (b) 4 (c) 2/15 c Let z = 0.1 + 0.9. Let h be ((-4)/(-6))/((-10)/6). What is the closest to 0.1 in h, z, 3/2? h Let b = 3 + -2. What is the closest to 0.1 in 4, b, -1? b Let f = -678/5 - -136. Let i = -123 - -123. Which is the closest to f? (a) 0.1 (b) i (c) 0.3 c Suppose q = 3*q - 10. Let n = -8 - -8.2. Which is the nearest to n? (a) -1/4 (b) q (c) -2 a Let j = 41 + -41. What is the closest to 0.1 in -3, j, -1? j Let b = -4.11 + 0.11. Let j = -0.26 - 0.14. What is the nearest to 1 in -2, j, b? j Let m = 8 - 7.4. Let l = m - 0.5. Which is the nearest to l? (a) 0 (b) 3 (c) 0.4 a Let d be -1 - (2 - 22/6). Let p = 17 - 13. What is the closest to d in p, 1/5, -2? 1/5 Suppose 4*l - l = 9. Let x = -0.4 - -0.3. What is the closest to x in l, 0.4, 2? 0.4 Let r = -52.1 - -52. Let l be 5/15*3/(-5). What is the nearest to l in r, 0.3, -2? r Let d = 3.88 + -4. Let z = -0.28 + d. What is the nearest to 0.3 in z, -2, -0.3? -0.3 Let f = 0.01 + 2.99. Let d be (14 - 13)/((-8)/(-2)). Which is the nearest to d? (a) f (b) -1/5 (c) -3 b Let v = -3 - -8. Let n = -5.4 + v. Which is the nearest to -3/5? (a) n (b) -0.5 (c) -4 b Let g = 3 - 2.5. Let k = -30 - -23. Let m = k - -12. What is the closest to 2/5 in m, -1, g? g Let g = 0.12 + -0.22. What is the nearest to 0.1 in 1, g, -0.3? g Let m = -61 + 60.9. Which is the closest to 1/3? (a) -0.5 (b) m (c) 3 b Let t = -0.06 + 0.16. Let h = -2.9 - t. Suppose 1 = -m - 0*m. What is the closest to m in -0.2, h, -0.3? -0.3 Let l be 5/(-10) + (-3)/(-6). Which is the nearest to -2? (a) l (b) -2 (c) -5 b Let h = 19 + -20. Which is the closest to 2? (a) h (b) -0.05 (c) 2 c Let m be (-1)/((6/(-3))/10). Let u = -120 - -117. Which is the nearest to u? (a) -2 (b) 2/7 (c) m a Let o be (-3)/15*(-15)/27. Let k be 2/(9*-4)*-4. Let x = k + o. What is the nearest to x in 0.1, 1/4, 0.4? 0.4 Let x = 12 + -11.6. Let m = -6 + 7. What is the closest to 1/3 in -1, x, m? x Let y be (4/5)/((-1)/5). What is the nearest to 0.4 in y, 3/4, 0.4? 0.4 Let m be ((-3)/84)/(26/128). Let a = -6/13 - m. Let j(b) = -b**2 - 7*b - 4. Let z be j(-6). What is the closest to 0 in a, z, -0.5? a Suppose -3*r + 4*r = -y - 3, -y - 5*r = 23. Let u = -6.96 + 7. Let o = 0.54 - u. Which is the nearest to 0.1? (a) -4 (b) o (c) y b Let l = -4.02 - -0.02. Let v = -127/476 + 2/119. Let y = -0.1 + 0.2. Which is the nearest to y? (a) v (b) l (c) 2 a Let a = -9.06 - -9. Let b = 5.06 + a. Let d(m) = -m**3 - 8*m**2 - 6*m + 9. Let f be d(-7). What is the closest to f in b, -5/3, 0.2? 0.2 Let b = -0.01 - 0.29. Let j = 0.5 + b. What is the closest to j in -0.3, -2, 1/10? 1/10 Suppose 3*r + 19 - 1 = 0. Let h be 2 + -3 + (-4)/r. Which is the closest to 1? (a) 0.4 (b) h (c) 1/2 c Let i = 2/5 + -4/5. Let f = -235 - -237. What is the nearest to -1 in 0, f, i? i Let u = 202/9 - 68/3. Let c = -8 + 12. Let b = -4 + 2. What is the nearest to b in c, u, -1? -1 Let w be -1*((-12)/(-9))/4. Let v = 10.02 - 10. Let d = v + -4.02. Which is the nearest to w? (a) -1/3 (b) 2 (c) d a Let f be ((-1)/10)/(1/2). Let k be (-10)/30 + (-2)/12. Which is the nearest to 0.1? (a) f (b) -3/2 (c) k a Let f = 28 + -15. Let l = f - 9. Which is the closest to 2? (a) l (b) -0.1 (c) -0.3 a Suppose 8*n - 10*n - 10 = 0. Let r = 5 + -3. What is the closest to r in n, -0.1, -2/13? -0.1 Let j = 0.1 + -0.1. Let q = -0.998 + -0.002. What is the closest to q in 4, j, 4/7? j Let j = 1/10 + 2/5. Which is the closest to -0.1? (a) j (b) 1/4 (c) 0.2 c Let t = 0 - 0.1. Which is the closest to 4/11? (a) -4 (b) 2 (c) t c Let z = 24.8 + -25. What is the nearest to z in -1/3, 4, -4? -1/3 Suppose 2*x - 23 + 3 = 4*h, 5*x - 4*h = 26. Suppose 6 - x = k. Which is the nearest to -2/7? (a) k (b) -1/6 (c) 2/11 b Let y = -35 - -30. Which is the closest to 0.4? (a) y (b) 2 (c) -9 b Let k be 18/70 - (-20)/(-50). Let q = -1.98 - 0.02. Let t = -1 - q. What is the nearest to -1/4 in 0.1, k, t? k Let d = 0.2 + -0.1. Let f(n) = -n - 1. Let r be f(-3). Which is the closest to d? (a) r (b) -3 (c) 0 c Let x be -17*((-44)/5 + 3). Let f = x + -98. What is the closest to -0.2 in 3, -0.5, f? -0.5 Let u be 38/30 - (21/(-15) - -2). What is the closest to -0.1 in u, -0.3, -2? -0.3 Let y(k) = -k**3 + 7*k**2 - 4*k - 8. Let q be y(6). Let z be (-2)/q - (-91)/126. Let t = -8.1 - -8. Which is the closest to z? (a) 1/6 (b) t (c) 4 a Let u = -85 - -88. Let h = 1 + 0. What is the nearest to -0.1 in -3, h, u? h Let l be 3/(-2)*(-6)/(-45). Let u = 1.9 - -3.1. Which is the nearest to l? (a) u (b) -4 (c) 0 c Let f be (56/21)/((-4)/(-6)). Suppose v + 5 = -f*v. What is the nearest to 0.1 in -3, 4, v? v Let o = 2/93 - -85/372. What is the closest to o in 2, -0.3, 5? -0.3 Let m = -63 + 62. Which is the nearest to -1/6? (a) -3 (b) m (c) 0 c Let n be (-1)/(0 + (-3)/9). Suppose n*t = -0*t - 3. Let k = 1.94 - -0.06. Which is the nearest to t? (a) 0.2 (b) k (c) 3/2 a Let i be (-3 - -2 - -2)*1. Let z = -73/402 + 1/67. Let b = 8.3 + -8. What is the closest to i in b, 0.1, z? b Let f = -15.8 - -17. Let o = f + -1.3. Which is the closest to 0? (a) -2/3 (b) o (c) 2/11 b Let z be 38/(-60) + 1*(-2)/(-15). Let v = 88 + -1670/19. Which is the nearest to -1/2? (a) v (b) -4 (c) z c Let q = -18.8 + 19.8. Which is the nearest to 0.07? (a) -2 (b) -0.1 (c) q b Let p = -0.234 - 3.766. Let u = -3 + 3.3. Let t be
{ "pile_set_name": "DM Mathematics" }
te the remainder when 1169791 is divided by 167096. 119 What is the remainder when 449876 is divided by 1717? 22 Calculate the remainder when 377387 is divided by 62851. 281 Calculate the remainder when 199799 is divided by 6775. 3324 What is the remainder when 4885576 is divided by 321? 277 What is the remainder when 12115551 is divided by 5? 1 What is the remainder when 3175093 is divided by 793451? 1289 What is the remainder when 1509220 is divided by 1278? 1180 What is the remainder when 3924794 is divided by 1308264? 2 What is the remainder when 3444795 is divided by 382755? 0 Calculate the remainder when 6297664 is divided by 355. 319 What is the remainder when 28164235 is divided by 204? 199 Calculate the remainder when 87457 is divided by 2042. 1693 Calculate the remainder when 370521 is divided by 1401. 657 Calculate the remainder when 43254328 is divided by 14418104. 16 What is the remainder when 232181 is divided by 1558? 39 What is the remainder when 1445741828 is divided by 6579? 6578 What is the remainder when 28667 is divided by 9383? 518 What is the remainder when 927335 is divided by 309033? 236 What is the remainder when 23048689 is divided by 34504? 17 Calculate the remainder when 15157962 is divided by 23. 19 What is the remainder when 196966 is divided by 67? 53 Calculate the remainder when 6160842 is divided by 13. 12 Calculate the remainder when 502070 is divided by 14034. 10880 Calculate the remainder when 26710054 is divided by 20. 14 What is the remainder when 1694065 is divided by 242004? 37 Calculate the remainder when 32209495 is divided by 394. 389 Calculate the remainder when 50062 is divided by 21302. 7458 Calculate the remainder when 16803972 is divided by 5601264. 180 What is the remainder when 430991 is divided by 215451? 89 Calculate the remainder when 19195810 is divided by 15812. 42 Calculate the remainder when 16217673 is divided by 16217669. 4 What is the remainder when 1986614 is divided by 2604? 2366 What is the remainder when 7906833 is divided by 4687? 4551 What is the remainder when 409237 is divided by 172? 49 Calculate the remainder when 21023 is divided by 747. 107 Calculate the remainder when 3330975 is divided by 307. 25 Calculate the remainder when 339711 is divided by 215. 11 What is the remainder when 394745 is divided by 591? 548 What is the remainder when 68090 is divided by 2526? 2414 What is the remainder when 15766593 is divided by 10518? 111 Calculate the remainder when 37331969 is divided by 3335. 3314 What is the remainder when 10468 is divided by 10429? 39 Calculate the remainder when 9035609 is divided by 3011865. 14 Calculate the remainder when 5098056 is divided by 2369. 2337 What is the remainder when 86162 is divided by 958? 900 What is the remainder when 1361883 is divided by 1312? 27 What is the remainder when 3083502 is divided by 15264? 174 What is the remainder when 2723353555 is divided by 98? 97 What is the remainder when 790267 is divided by 14? 9 What is the remainder when 34439168 is divided by 371? 351 Calculate the remainder when 47178 is divided by 11793. 6 What is the remainder when 1893731 is divided by 45? 41 Calculate the remainder when 10293 is divided by 4244. 1805 What is the remainder when 26776 is divided by 6359? 1340 Calculate the remainder when 112456789 is divided by 100. 89 Calculate the remainder when 2470627 is divided by 1424. 1411 Calculate the remainder when 8655462 is divided by 68. 14 What is the remainder when 73065728 is divided by 235? 233 What is the remainder when 103688 is divided by 132? 68 Calculate the remainder when 30309761 is divided by 15154876. 9 Calculate the remainder when 476977 is divided by 2981. 17 What is the remainder when 347177 is divided by 115505? 662 What is the remainder when 1028554 is divided by 180? 34 Calculate the remainder when 150079 is divided by 2682. 2569 What is the remainder when 4477019 is divided by 65? 14 Calculate the remainder when 5689539 is divided by 33865. 219 What is the remainder when 29122 is divided by 28413? 709 Calculate the remainder when 61033174 is divided by 1624. 6 Calculate the remainder when 29194190 is divided by 561426. 38 What is the remainder when 125853 is divided by 20896? 477 Calculate the remainder when 732162 is divided by 133. 130 What is the remainder when 18467 is divided by 4395? 887 Calculate the remainder when 8432954 is divided by 1373. 1361 Calculate the remainder when 185270 is divided by 4216. 3982 What is the remainder when 66500499 is divided by 1070? 1069 What is the remainder when 734991 is divided by 73470? 291 Calculate the remainder when 9669004 is divided by 5814. 322 Calculate the remainder when 199993053 is divided by 9335. 13 Calculate the remainder when 323158 is divided by 155. 138 Calculate the remainder when 932308 is divided by 44393. 55 Calculate the remainder when 14308449 is divided by 14308446. 3 What is the remainder when 2186898 is divided by 91? 77 What is the remainder when 22939646 is divided by 2293962? 26 What is the remainder when 749367 is divided by 6248? 5855 Calculate the remainder when 197189 is divided by 65374. 1067 What is the remainder when 392176609 is divided by 642? 637 Calculate the remainder when 994774 is divided by 2532. 2230 Calculate the remainder when 9990 is divided by 2459. 154 Calculate the remainder when 7771769 is divided by 53. 8 Calculate the remainder when 1559255 is divided by 2440. 95 What is the remainder when 149243 is divided by 29812? 183 Calculate the remainder when 344999 is divided by 172492. 15 Calculate the remainder when 1469678 is divided by 1469678. 0 What is the remainder when 49481249 is divided by 12694? 37 What is the remainder when 41505136 is divided by 247? 244 What is the remainder when 4110972 is divided by 454? 2 Calculate the remainder when 668125 is divided by 95445. 10 What is the remainder when 1920667 is divided by 645? 502 Calculate the remainder when 6655 is divided by 2164. 163 What is the remainder when 130202304 is divided by 8137644? 0 What is the remainder when 47891 is divided by 15799? 494 What is the remainder when 7727647 is divided by 3652? 15 Calculate the remainder when 334508 is divided by 276. 272 Calculate the remainder when 4841648 is divided by 34. 14 What is the remainder when 207956 is divided by 1072? 1060 What is the remainder when 43252889 is divided by 422? 421 Calculate the remainder when 2248539 is divided by 2661. 2655 What is the remainder when 232504108 is divided by 1297? 1294 Calculate the remainder when 169517 is divided by 2022. 1691 Calculate the remainder when 65441061 is divided by 57. 45 What is the remainder when 2184033 is divided by 5463? 4296 What is the remainder when 17153329 is divided by 169? 167 What is the remainder when 20388 is divided by 92? 56 What is the remainder when 2084618 is divided by 409? 354 Calculate the remainder when 20831039 is divided by 1215. 1079 Calculate the remainder when 78551 is divided by 184. 167 Calculate the remainder when 110354806 is divided by 83. 81 Calculate the remainder when 2159038 is divided by 1042. 14 What is the remainder when 213433 is divided by 106713? 7 Calculate the remainder when 15072730 is divided by 16330. 140 What is the remainder when 77281 is divided by 4542? 67 Calculate the remainder when 27387538 is divided by 978126. 10 What is the remainder when 4374778 is divided by 170? 168 What is the remainder when 3770733657 is divided by 1182? 1179 Calculate the remainder when 4249249 is divided by 849844. 29 Calculate the remainder when 32800479 is divided by 394. 373 What is the remainder when 1227931 is divided by 848? 27 Calculate the remainder when 229855 is divided by 32833. 24 Calculate the remainder when 27226499 is divided by 209. 69 What is the remainder when 13460578 is divided by 270? 268 Calculate the remainder when 1264155 is divided by 2341. 15 What is the remainder when 2792226 is divided by 1098? 12 What is the remainder when 1233825 is divided by 19896? 273 Calculate the remainder when 1003744 is divided by 1003732. 12 What is the remainder when 1330235 is divided by 101? 65 Calculate the remainder when 33311 is divided by 2470. 1201 Calculate the remainder when 8255
{ "pile_set_name": "DM Mathematics" }
o -6 in 23644, -3, -0.1? -3 Which is the nearest to 2/9? (a) 0 (b) 4/3 (c) 2/17 (d) 4 c Which is the nearest to -2? (a) 5 (b) -4/3 (c) 3/2 (d) -1/5 (e) -0.16 b Which is the closest to 52? (a) -0.1 (b) 2/5 (c) -1 (d) 1 d Which is the closest to 1/3? (a) 4/3 (b) -0.5 (c) 2/3 (d) 2865 c Which is the nearest to 0.1? (a) 0.1 (b) -4 (c) 47 (d) -234 a What is the nearest to 0 in 2/9, -2, 1, 19/9? 2/9 Which is the nearest to -26069? (a) 3 (b) 2 (c) 4/3 c What is the closest to -0.3 in -1, 137, -56/3, -2, 10? -1 Which is the closest to 1? (a) -0.09 (b) 0.1 (c) -161.3 b Which is the nearest to -9? (a) 1 (b) -1/4 (c) 2/277 (d) 2 (e) -0.3 e What is the closest to -1 in 2/19, 1, -0.621, -0.2? -0.621 What is the nearest to 1 in 0.5, -0.3, 0, 8946? 0.5 Which is the nearest to -3846? (a) 2 (b) 0.06 (c) 0.5 b What is the closest to -1 in -0.4, -0.98, -2/37, -2, -1? -1 What is the nearest to -1/6 in 19, 0.4, 66? 0.4 Which is the closest to 0? (a) -0.2 (b) 38 (c) -6 (d) -2/15 d Which is the closest to 93? (a) 24 (b) 0.5 (c) 3 a Which is the nearest to -0.1? (a) -115 (b) -0.8 (c) 77 b What is the closest to 1/3 in 0.4, 0.5, 0, 2/1615? 0.4 Which is the closest to 108? (a) 10/13 (b) -4 (c) 7/23 a Which is the closest to 1/33278? (a) -0.4 (b) 0 (c) -0.1 (d) 5/3 b Which is the nearest to -54? (a) -4 (b) 1/3 (c) 3 (d) 2.2 a What is the nearest to -19161 in 2, 2/7, 15? 2/7 Which is the nearest to 1/4? (a) -1331 (b) 8/7 (c) 4 b Which is the closest to 45? (a) 1/4 (b) -3.89 (c) -2/15 (d) 1 d Which is the nearest to 0? (a) 13.7 (b) 3.18 (c) 0.2 c Which is the nearest to -2/3? (a) 9 (b) -0.2 (c) -0.22 (d) 0.1 (e) 5 c Which is the nearest to 2? (a) 3/115 (b) -3/4 (c) -13.16 (d) 1 d Which is the closest to 0.06? (a) 2/681 (b) -3 (c) 0.4 (d) -7 a Which is the closest to -10? (a) 1/25 (b) -1/4 (c) -3 (d) -4/9 (e) 2 c Which is the closest to -2/7? (a) 27 (b) -0.9 (c) 3/4 (d) -0.2 d What is the closest to -1 in -24/7, -0.4, 0.2, -2/57, -0.03? -0.4 Which is the closest to 2.6? (a) -4 (b) 1/10 (c) 1 (d) -0.2 c What is the closest to -1 in 3, -3471.3, 2/11, 1? 2/11 What is the closest to 0 in -0.4, -32, -4, 0.01, 2/11? 0.01 What is the closest to -393 in -3, -4, -1, 3? -4 Which is the nearest to 7? (a) -20 (b) 1/9 (c) -3 (d) 21 b What is the nearest to -2 in -4/7, -60, -0.3, 13? -4/7 Which is the closest to 531? (a) 5 (b) 0.6 (c) -5 a What is the nearest to -0.4 in -0.03, 0.3, -13, 1, 3? -0.03 What is the closest to 0 in 0.06809, -3, 0.07? 0.06809 Which is the closest to -72? (a) 3 (b) -0.012 (c) 4/5 b Which is the nearest to -2/7? (a) -4 (b) 0.4 (c) -9 (d) -11 b What is the nearest to 1/4 in -35115, 0.4, -4? 0.4 Which is the nearest to 14? (a) 1 (b) -34.2 (c) -1 (d) 2/3 (e) -5 a What is the closest to 9 in 2/7, -29, 0.2, 1/15? 2/7 Which is the closest to 52/5? (a) -12 (b) 0.5 (c) 2/3 (d) 1/3 (e) 4 e What is the closest to 0 in -8, -5/4, -2.4, -0.5? -0.5 What is the nearest to -1/7 in 14608, -7, 0.2? 0.2 Which is the nearest to -2? (a) 78.9 (b) -0.5 (c) 5 (d) -71 b What is the closest to 27/8 in -3/5, 0.07, -0.2, -4? 0.07 What is the nearest to -0.63 in -3, 5, -1/4, 0, -31? -1/4 What is the closest to -4 in -5, 1.4, -14, -1/2? -5 Which is the nearest to 7? (a) -4 (b) 5 (c) -1 (d) 1/4 (e) -13/5 b Which is the closest to 12? (a) 0 (b) -0.32 (c) 2 (d) -2/7 c What is the closest to -0.1 in 2, -2/3, 8/13, 21800? -2/3 What is the nearest to -1/2 in -2, 257, -10/7, 3, 1/4? 1/4 Which is the closest to 0.2? (a) 10 (b) -11 (c) 4 (d) 2 (e) -29 d Which is the closest to 393? (a) 4 (b) 2/3 (c) -0.03 a Which is the closest to -64? (a) -2 (b) 5 (c) -1.4 (d) 3 a Which is the closest to 0.1? (a) 25 (b) -2/3 (c) 0 (d) 1.3 (e) 158 c What is the nearest to -6/23 in 2, 9, 5/28? 5/28 What is the nearest to -2/5 in -8, 2307, -13? -8 Which is the nearest to 120/7? (a) -1/6 (b) 0.5 (c) 734 b What is the closest to 0 in 3.98, 14, 0.3? 0.3 What is the closest to -2/13 in 3, -0.022, 1, -2? -0.022 Which is the nearest to -0.3? (a) 3/5 (b) 3/2 (c) 11237 (d) -1 d Which is the nearest to 2/7? (a) -1 (b) -4/2237 (c) -1/4 (d) -2/5 b What is the nearest to 1/2 in -4, -10, -103? -4 What is the nearest to 163 in -4/5, -5, 150? 150 Which is the nearest to -1? (a) 24.4 (b) 1 (c) 64 b What is the closest to 4 in 27, 4, 15, -0.04? 4 Which is the closest to 0? (a) 75 (b) 0.86 (c) -71 b What is the nearest to 0.07 in 5, -1, 5727/5, -0.1? -0.1 Which is the nearest to 6? (a) -3/22 (b) 0.15 (c) 5 (d) -1/5 (e) -0.5 c What is the nearest to -5 in 0.2, 1.2, 3, 0.06, -2? -2 Which is the closest to 0.2? (a) 0.11 (b) -1/83 (c) -5 (d) -3 (e) -0.03 a What is the nearest to 1 in 0, -0.4, 0.0129, -2/25, 0.8? 0.8 Which is the nearest to -0.1? (a) -0.25 (b) -1/18 (c) -309 (d) -3 (e) -1 b What is the closest to 1148 in -4/5, 1/5, 1? 1 Which is the nearest to 0.1? (a) 0.059 (b) 820 (c) -4 a What is the nearest to -1/653 in 12, -0.1, -0.25? -0.1 What is the closest to -0.01 in 4, 2, -25/4, 7.8, 3? 2 What is the nearest to 0 in 17/5, 0.1, 15/4, -6/5? 0.1 What is the nearest to -0.1 in 139, 2/19, -1/9, -0.2, -0.5? -1/9 What is the nearest to -15 in 1/11, -42/5, 1/8, -0.3? -42/5 Which is the closest to 0.1? (a) 1630 (b) -0.5 (c) -6 (d) 18 b What is the closest to 6 in -1/5, 41, -12/13, -0.4, 2? 2 Which is the closest to -1? (a) -1 (b) -23 (c) -3925 a What is the nearest to 0 in -7/52, 1, -41? -7/52 What is the closest to 1/4 in 0.1, -7, -0.4, -23, 1/4? 1/4 Which is the nearest to 0.2? (a) -6/19 (b) 1.07 (c) -0.5 a What is the closest to -2 in 174, 4, 0.08? 0.08 Which is the closest to -2044? (a) 2/7 (b) -0.5 (c) -0.4 b What is the closest to 4 in -2, -78, 2, 12/109, -5? 2 Which is the closest to -1? (a) 3/4 (b) 4 (c) 0.03645 c What is the nearest to -1/4 in -0.0436, 3/8, 1, -1, 3/10? -0.0436 What is the nearest to 1 in 2/21, 17, -0.5, -12/5, -10? 2/21 Which is the closest to -0.02? (a) 2/9 (b) 1/7 (c) 6 (d) -203 (e) 1/8 e Which is the closest to 2? (a) 11991 (b) -14 (c) -0.2 (d) -2 c Which is the closest to 1? (a) 1/12 (b) -3 (c) -1 (d) -4 (e) -18/5 a What is the closest to 54974 in -3/7, 5, 1? 5 Which is the closest to 0.1? (a) -1/4 (b) -4 (c) 5 (d) -7962 a What is the closest to 1 in -15.66, -30, 1, -0.5, 5? 1 What is the nearest to -0.1 in 6, 36, 0.1? 0.1 Which is the closest to 0? (a) 42 (b) -3 (c) -0.4 (d) -241 (e) -2 c Which is the closest to 44? (a) 2/27 (b) 3/4 (c) -3 (d) -52 b What is the closest to -2 in -4, -5.2, -0.4? -0.4 Which is the closest to -0.1? (a) -0.4 (b) -28 (c) 4/3 (d) 35 a What is the nearest to 19 in 30, -5, 1/3, -2/27? 30 Which is the closest to 1/14? (a) 3/19 (b) -5 (c) 475 (d) -0.5 a Which is the closest to -2/5? (a) 0.1 (b) 0.2 (c) 2/105 (d) -4 c Which is the closest to -3/2? (a) 2/13 (b) 31 (c) 4 (d) -2 d Which is the nearest to 3/22? (a) -0.3 (b) -1 (c) 1 (d) 3/10 (e) 1.5 d Which is the nearest to 23? (a) -46 (b) -3/2 (c) -11 b What is the closest to -1 in -2/9, 1, 249, 0.4? -2/9 Which is the nearest to 43? (a) 0.2 (b) 3 (c) -0.218 (d) 0.5 b What is the closest to -0.1 in 1/2, 29, -36, 1? 1/2 Which is the closest to 2/5? (a) -6 (b) -5 (c) 5 (d) -1/4 (e) 255 d Which is the nearest to -2/25? (a) -1/3 (b) -4 (c) 3/7 (d) -2 a Which is the closest to 13? (a) 0 (b) 2 (c) -0.07 (d) 1/3 b What is the closest to 2/3 in -8/3, 20/29, -3, 3, 2? 20/29 Which is the closest to 1/8? (a) 2 (b) 326 (c) 0.3 (d) -0.04 d What is the closest to 1/3 in 0.08, 8, 3, -1, 129? 0.08 Which is the nearest to -1? (a) 1/3 (b) 54 (c) 3 (d) -154 (e) 11 a Which is the nearest to -2/3? (a) 2/33 (b) 13 (c) -0.1 (d) 2/11 c Which is the nearest to 1/2? (a) 0 (b) -516 (c) -3 (d) 0.4 d What is the closest to 1/3 in 0.4, 0.001, 211/3, 3/5? 0.4 What is the closest to 9 in -123, 187, -1? -1 What is the closest to 60 in 2.7, 27, 5? 27 Which is the nearest to 1? (a) -0.5 (b) 90/11 (c) 2.2 (d) -0.3 c What is the nearest to -20 in -3, -0.03, 5, -796? -3 Which is the closest to -11? (a) -0.1 (b) -24 (c) -2 (d) -5 d Which is the nearest to -0.3? (a) 0.869 (b) -5 (c) 2
{ "pile_set_name": "DM Mathematics" }
**4 + 6 Let d(x) = 2*x**2 - 4*x. Suppose -7*n = -9*n + 10. Let q(m) = 2*m + n*m - 15*m + 6*m. Give d(q(a)). 8*a**2 + 8*a Let j(d) = 4*d + 1 + 5*d + 4 - 3. Let p(s) = 26*s**2 - 15*s**2 - 12*s**2. Give j(p(u)). -9*u**2 + 2 Let q(j) be the third derivative of -7*j**4/24 - 7*j**2. Let h(t) = 552*t**2 - 274*t**2 - 285*t**2. Determine q(h(c)). 49*c**2 Let b(s) = s. Let z(q) = q**3 + 6*q**2 + 9*q + 22. Let a be z(-5). Let r(x) be the third derivative of 0 + 1/3*x**4 + 0*x + 14*x**a + 0*x**3. What is r(b(k))? 8*k Let i(b) = -2*b**3 + b**2 + 4*b + 2. Let c be i(-1). Let h be 1 + 1558 - c/(-1). Let d(y) = -h + 1560 + 3*y. Let v(o) = 2*o. Determine d(v(j)). 6*j Let o(z) = 2*z. Let i(d) = -11*d - 60. Let f(c) be the third derivative of -c**4/12 + c**2 + 8. Let h(m) = -5*f(m) + i(m). Calculate o(h(r)). -2*r - 120 Let h(j) = -j. Let w(y) = -101*y + 12. Let g(i) = 99*i - 10. Suppose -24 = 7*c + 11. Let z(o) = c*w(o) - 6*g(o). What is z(h(m))? 89*m Let u(m) = -2910*m. Let g(d) = -61*d + 1. Give g(u(s)). 177510*s + 1 Let d(o) = 1206*o. Let h(k) = -10791*k**2 + 21578*k**2 - 10792*k**2. Calculate h(d(f)). -7272180*f**2 Let u(b) = -259*b**2 + 2. Let s(p) = 27864*p. Give u(s(l)). -201088246464*l**2 + 2 Let j(k) be the second derivative of -1031*k**3/6 - 136*k. Let o(u) = -9*u. Determine j(o(x)). 9279*x Let s(y) = 70*y**2 - 15*y. Let f(w) = -9*w + 0*w + 1 - 1 + 11*w. Give s(f(l)). 280*l**2 - 30*l Let p(f) = -4*f. Let m(k) be the third derivative of k**8/4032 + k**5/20 + 41*k**3/6 - k**2 - 67*k. Let y(c) be the third derivative of m(c). Determine y(p(l)). 80*l**2 Let a(u) be the first derivative of 11247*u**2/2 + 4745. Let o(g) = g**2. Determine o(a(z)). 126495009*z**2 Let c(x) = 102340*x. Let t(h) = 246*h. Let d(j) = 4*c(j) - 1666*t(j). Let z(y) = 3*y. Give z(d(o)). -1428*o Let t(k) = -440*k. Let p(h) be the second derivative of -8 - 2*h + 1/6*h**3 + 0*h**2. Give t(p(b)). -440*b Let y(r) = -34*r - 10. Let s(a) = 82*a. Let x(n) = -19*n. Let q(k) = 6*s(k) + 26*x(k). What is q(y(l))? 68*l + 20 Let u(f) = 4*f - 12. Let b(s) = -9*s + 28. Let q(l) = -3*b(l) - 7*u(l). Let a(j) = -2*j**2 - 374. Calculate q(a(c)). 2*c**2 + 374 Let i(k) be the first derivative of k**2 - 786 + 2*k + 825 - 2*k**2 - 3*k. Let m(o) = -o. Determine i(m(l)). 2*l - 1 Let s(c) = -46*c. Let g(i) be the second derivative of i**4/24 - 47*i**2 + 72*i. Let p(o) be the first derivative of g(o). Calculate s(p(t)). -46*t Let t(c) = 232*c + 239*c - 174*c - 90*c + 255*c. Let d(n) = 2*n**2. Determine d(t(o)). 426888*o**2 Let p(o) = 2*o. Let r(z) be the first derivative of -7*z**4/8 + z**3/3 + 31*z**2/2 - 2*z + 49. Let f(i) be the second derivative of r(i). Calculate f(p(y)). -42*y + 2 Let g(m) = 10*m. Let a(x) = 3064617*x. Determine g(a(r)). 30646170*r Let x(a) be the second derivative of 7*a**3/6 + 7*a**2/2 - 1149*a. Let q(i) = 17*i**2. What is x(q(j))? 119*j**2 + 7 Let r(m) be the second derivative of -2*m**3/3 + 23*m**2 - 2254*m. Let c(t) = -4*t. Calculate r(c(s)). 16*s + 46 Let d(y) = -2*y**2. Let x(a) = 10567*a**2 + 3904269 - 38517*a**2 - 3904269. Determine d(x(n)). -1562405000*n**4 Let y(r) = 243*r. Let s(a) = 22*a. Let g(j) = -45*s(j) + 4*y(j). Let w(c) = -496*c. What is g(w(f))? 8928*f Let c(u) = -35*u + 3. Let i(d) = 384*d - 32. Let b(r) = 32*c(r) + 3*i(r). Let n(k) be the first derivative of 0*k + 106 + 1/3*k**3 + 0*k**2. Give n(b(w)). 1024*w**2 Let x(w) = 180*w**2. Let a(u) = -113*u**2 + 111. What is a(x(b))? -3661200*b**4 + 111 Let i(m) = -2*m - 4. Let v(p) = -11*p + 4. Let k(u) = i(u) + v(u). Let q be 54/8 - 2/(-8). Let f(t) = q - t**2 - 2*t**2 - 7. Determine k(f(n)). 39*n**2 Let v(l) = 13*l + 4. Let r(g) = 585*g + 182. Let d(o) = 49*o + 7. Let i be d(-2). Let q(s) = i*v(s) + 2*r(s). Let u(a) = -22*a. Determine u(q(j)). 286*j Let a(m) = -3*m. Let b(h) = -733517*h - 17. Determine b(a(s)). 2200551*s - 17 Let c(d) = 3874*d - 104. Let i(k) = -2*k + 54. Calculate c(i(r)). -7748*r + 209092 Let l(f) be the third derivative of 1673*f**4/8 + 1803*f**2. Let q(x) = 2*x. Give l(q(n)). 10038*n Let q(g) = g + 67. Let w(m) = 10*m - 268. Let z(j) = -4*q(j) - w(j). Let i(d) = 471*d. Give i(z(c)). -6594*c Let p(m) = -6*m + m + 3*m. Let z(l) be the first derivative of -3*l**2/2 + 2*l + 6242. Give p(z(i)). 6*i - 4 Let y(w) = -9 + 6*w - 3*w + 9. Let h(j) = -j**2 + 4. Let c(t) = -1. Let d(z) = -15. Let o(r) = -85*c(r) + 6*d(r). Let s(g) = 5*h(g) + 4*o(g). What is s(y(m))? -45*m**2 Let k(n) = -124*n. Let m(z) = -1349*z + 1704. Let r(c) = 71*c - 90. Let b(p) = -15*m(p) - 284*r(p). Give k(b(y)). -8804*y Let d(z) = 2*z**2 - 65*z + 42. Let m(r) = 7*r**2 + 6. Give d(m(g)). 98*g**4 - 287*g**2 - 276 Let p(r) = r - 2. Let d(o) = -96*o + 256. Let x(m) = d(m) + 128*p(m). Let w(y) = -18*y. Let j(t) = 7*w(t) + 4*x(t). Let z(v) = 255*v**2. Calculate z(j(g)). 1020*g**2 Let d(a) = 65*a. Let o(p) = -2*p - 12. Let c(n) = 2*n + 15. Let j be (3/12)/((-8)/(-160)). Let t(w) = j*o(w) + 4*c(w). Determine d(t(z)). -130*z Let t(z) = -18*z**2 + 3. Let o(y) = 270*y - 5. Let s(n) = 163*n - 3. Let k(u) = 3*o(u) - 5*s(u). Calculate k(t(l)). 90*l**2 - 15 Let x(f) = 2*f. Let k(u) = 285440086*u. What is k(x(s))? 570880172*s Let l(s) = s**2. Let y(o) = 3*o**2 + 18*o - 16. Let h be y(-7). Suppose -4*g + h*n - 12 = 0, 2*n + 1 = 3*g + 3. Let u(j) = 1 + 7 + 27*j**g - 8. Give u(l(p)). 27*p**4 Let l(x) = 21690*x**2. Let d(m) = -116*m**2. Give d(l(s)). -54572907600*s**4 Let j(x) = 5*x**2. Let s(y) be the third derivative of -9/20*y**5 - 18*y + 2*y**2 + 0*y**4 + 0*y**3 + 0. Give s(j(z)). -675*z**4 Let b(k) = 1591*k**2 + k - 410. Let j(m) = -2*m. What is j(b(t))? -3182*t**2 - 2*t + 820 Let n(b) = 0*b - 7093*b**2 - 2*b + 7095*b**2 + 2*b. Let o(t) = 6*t**2 - 3*t. Determine n(o(j)). 72*j**4 - 72*j**3 + 18*j**2 Let l(i) = -5017*i. Let g(m) = 151*m + 116. What is g(l(w))? -757567*w + 116 Let r(v) = -39*v + 1. Let f(m) = 76696*m. What is f(r(x))? -2991144*x + 76696 Let x(f) = -46*f + 1. Let k(w) = 36147*w**2 + 2*w - 1. Give x(k(g)). -1662762*g**2 - 92*g + 47 Let z(k) = -4*k**2 - 2*k + 201510. Let x(f) = 13*f. What is z(x(d))? -676*d**2 - 26*d + 201510 Let z(a) be the first derivative of -a**2 + 5. Let m(w) be the first derivative of -4*w**3/3 - 6*w**2 - 1876. Determine m(z(j)). -16*j**2 + 24*j Let i(u) = 251*u**2. Let z(s) = 113945*s**2. Give i(z(a)). 3258849219275*a**4 Let b(s) = 704414*s. Let t(x) = 277*x. Calculate t(b(v)). 195122678*v Let h(k) = k. Let b(l) = -2*l**3 + 11*l**2 - 4*l - 3. Let c be b(5). Let v(g) = -19*g**2 - 13*g**2 - 27*g**2 - 13*g**c. Determine v(h(r)). -72*r**2 Let j(s) = -s**2 + 2*s + 3. Let u(f) = -5*f**2 + 4*f + 6. Let g(v) = -2*j(v) + u(v). Let n(z) = -136*z. Calculate n(g(c)). 408*c**2 Let n(r) be the first derivative of 90*r**2 - 181*r**2 + 91*r**2 + 102 + r**3. Let a(m) = -m - 96. What is n(a(s))? 3*s**2 + 576*s + 27648 Let s(a) = a - 275. Let u(i) = 54*i**2 - i + 30. Calculate u(s(b)). 54*b**2 - 29701*b + 4084055 Let v(j) = -69*j**2. Let l(z) = 50*z + 89 + 3*z**2 + 52*z - 88 - 102*z. Give v(l(y)). -621*y**4 - 414*y**2 - 69 Let x(v) = 8*v**2 + v - 770. Let w(i) = -5*i**2. Calculate x(w(f)). 200*f**4 - 5*f**2 - 770 Suppose -14 = -65*b + 64*b. Let f be (-3 + 1)*9/(-6). Let h(m) = -b*m + m - f*m. Let g(t) = 2*t**2. Give h(g(z)). -32*z**2 Let s = -3072 + 4805. Let f(o) = s*o - 39*o**2 - 1733*o. Let u(g) = 6*g**2 - 7. Let z(t) = -t**2 + 1. Let p(v) = -2*u(v) - 14*z(v). Determine p(f(b)). 3042*b**4 Let j(o) = 3*o**2. Let d(k) = 6*k + 27. Let n(u) = -61 + 3*u + 34 + 39. Let t(w) = -4*d(w) + 9*n(w). What is t(j(b))? 9*b**2 Let l(p) be the third derivative of p**5/12 + 8*p**2 + 38. Let w(v) = -2 + 106*v**2 + 2 - 104*v**2. Give l(w(s)). 20*s**4 Let d(r) = 7*r. Suppose -47 = 20*j - 127. Let b(a) = -1743*a + j*a**2 + 1743*a + 8*a**2. Give b(d(x)). 588*x**2 Let o(f) = -7*f - 13 + 18 + 9*f + 38. Let c(q) = -q**2 - 3*q + 6. Let a(v) = v - 2. Let y(b) = -3*a(b) - c(b). Give o(y(h)). 2*h**2 + 43 Let h(i) = 379413*i + 2. Let b(t) = t. Give h(b(s)). 379413*s + 2 Let b(p) = -17182*p. Let z(w) = 100*w**2. Give z(b(f)). 29522112400*f**2 Let b(k) = 4*k**2 + 5*k - 186. Let v(l) = 11*l. What is v(b(w))? 44*w**2 + 55*w - 2046 Let n(k) = -3*k. Suppose 5 = -3*r + 11. Suppose 0 = -b - 2*c + 68, r*c + 13 = -2*b + 151. Let d(w) = 137*w**2 - 69*w**2 - b*w**2. What i
{ "pile_set_name": "DM Mathematics" }
b - 373308. Let x(a) = 9577*a + 130. Let k(z) = -5*u(z) - 14358*x(z). Give q(k(d)). 91623184*d**2 Let s = -1028 - -1030. Let d(v) = 4 - 2 + 739*v**2 - 737*v**s - 2. Let o(z) = -10*z**2. Let b(k) = k**2. Let u(n) = -35*b(n) - 4*o(n). What is u(d(q))? 20*q**4 Let x(v) = 2*v**2. Let s(f) = 393*f - 1058. Calculate s(x(n)). 786*n**2 - 1058 Let y(i) = -5*i. Let k(p) = -683*p**2 + 24*p + 120. Let f(s) = -7514*s**2 + 260*s + 1300. Let o(g) = -6*f(g) + 65*k(g). What is o(y(v))? 17225*v**2 Let f(w) be the first derivative of 0*w + 315/2*w**2 + 132. Let m(r) = 2*r**2. Determine f(m(p)). 630*p**2 Let p(h) = -334*h**2 - 2*h + 3. Let s(b) = -469*b. Determine s(p(v)). 156646*v**2 + 938*v - 1407 Let w(r) = -5*r**2 - 40612017*r. Let s(h) = 4*h. Determine s(w(y)). -20*y**2 - 162448068*y Let c(d) = 6*d**2 - 10*d + 5. Let f(k) = 2*k**2 - 4*k + 2. Let o(b) = -2*c(b) + 5*f(b). Let x(m) = -66*m**2. Give o(x(p)). -8712*p**4 Let b(f) = -4*f + 4*f - f. Let t be (76/95)/(2/5). Let k(x) = -8*x - 18*x + 20*x**t + 26*x. What is b(k(c))? -20*c**2 Let m(n) = -n**2 - 14*n + 2. Let w(l) = 3*l**2 + 49*l - 7. Let x = 594 - 601. Let v(r) = x*m(r) - 2*w(r). Let k(y) = 303*y**2. Give k(v(u)). 303*u**4 Let b(n) = 20*n + 10. Let s(i) = i + 1. Let u(f) = -2*b(f) + 20*s(f). Let h(a) be the third derivative of a**4/24 + 29*a**2 + a. What is h(u(k))? -20*k Let m(h) be the first derivative of -h**4/6 + 51*h + 1. Let b(u) be the first derivative of m(u). Let i(c) = -12*c. Determine b(i(l)). -288*l**2 Let o(w) = w - 24. Suppose d + 0*a + a = 15, -2*d + 45 = -3*a. Let v be 2/(2/(-3)) + 4680/d. Let r(k) = 512*k**2 - 257*k**2 - v*k**2. Calculate o(r(f)). -2*f**2 - 24 Let k(d) be the second derivative of -3*d**2/2 + d + 7. Let s(a) = -3*a + 6. Let p(n) = -2*k(n) - s(n). Let q(b) = 6*b**2 + 4*b. Calculate p(q(c)). 18*c**2 + 12*c Let q(b) = -22 + 48 + 3*b**2 - 26. Let w(i) be the first derivative of 9*i**2 - 3*i + 51. Give q(w(v)). 972*v**2 - 324*v + 27 Let v(b) = 3*b. Let t(g) be the second derivative of 0*g**2 + 4/3*g**3 + 0 + 27*g. Give t(v(j)). 24*j Let n(v) = -12*v**2 + 2. Let a(w) = -49*w**2 + 9. Let s(m) = -2*a(m) + 9*n(m). Let o(h) = -9527*h**2 - 9531*h**2 + 19061*h**2. Determine o(s(f)). 300*f**4 Let p(m) = 40*m**2 - 73 + 289 - 107 - 109. Let a(f) = -15*f**2. Determine a(p(t)). -24000*t**4 Let o(h) = -35*h. Let i(k) be the second derivative of k**4/4 + 9*k**2 - 64*k - 4. What is i(o(a))? 3675*a**2 + 18 Let l(v) = 75*v**2 - 23*v**2 - 14*v**2 - 27*v**2 - 16*v**2. Let f(w) = 0*w**2 - 2*w**2 + 6*w**2. Give l(f(y)). -80*y**4 Let f(v) = 6*v. Let s(t) = -7*t. Let i be (-198)/(-33)*2/(-3). Let j(y) = i*s(y) - 5*f(y). Let m(l) = -23*l. Give j(m(q)). 46*q Let z(k) = -344139814*k**2. Let r(w) = -w. Determine r(z(d)). 344139814*d**2 Let f(t) = -19*t**3 - t**2 + 59. Let j be f(0). Let h(p) = -j*p - 9 + 58*p + 9. Let o(u) = 182*u**2. Give h(o(l)). -182*l**2 Let h(q) = 92 - 2*q - 92. Let j(d) be the first derivative of d**6/45 - 28*d**3/3 + 11. Let w(i) be the third derivative of j(i). Give w(h(u)). 32*u**2 Let f(b) = 16*b. Let k(d) = -12502*d - 155. Give k(f(x)). -200032*x - 155 Let t(k) = -3*k. Let f(v) = 20*v**2 - 27819. Give f(t(x)). 180*x**2 - 27819 Let p(r) = -24000452*r**2. Let n(t) = 3*t. What is n(p(w))? -72001356*w**2 Let g(j) = -11*j - 2. Let k(m) = 4322*m**2 + 25*m. Give g(k(t)). -47542*t**2 - 275*t - 2 Let b(u) = 50 + 46 - 89. Let n(j) = j. Let h(a) = 4*a + 1. Let x(d) = h(d) - 3*n(d). Let z(q) = 3*b(q) - 21*x(q). Let i(f) = -2*f**2. Give i(z(s)). -882*s**2 Let j(k) = -5*k. Let f be (4 - 4)*(-17)/(-34). Let v(c) be the second derivative of 1/6*c**3 + f*c**2 + 0 - 3*c. What is j(v(g))? -5*g Let r(p) = -106*p - 12. Let s(c) = 8*c - 2. Let v(a) = 38*a - 10. Let d(q) = 5*s(q) - v(q). What is d(r(z))? -212*z - 24 Let s(h) = -3*h**2 + 16*h - 11. Let y(n) = 4*n - 6. What is y(s(l))? -12*l**2 + 64*l - 50 Let l(x) be the third derivative of x**4/12 - 1702*x**2. Let o(d) = 6011*d**2. Calculate l(o(m)). 12022*m**2 Let s(w) = -7337*w**2 + w. Let n(d) = -11*d. Calculate s(n(j)). -887777*j**2 - 11*j Let r(q) = 41946*q**2. Let n(s) = -3*s**2. Give r(n(b)). 377514*b**4 Let t(s) = -17465*s + 5820*s + 5825*s + 5826*s. Let k(b) = 2*b - 2. Let u(l) = 6*l - 7. Let c(j) = 14*k(j) - 4*u(j). Give t(c(i)). 24*i Let d(s) = 111*s - 36*s - 26*s - 30*s - 30*s. Let w(v) = 7*v**2 - v. What is d(w(i))? -77*i**2 + 11*i Let m be (-1)/2 + 15/10. Let u be m*3 - (-9 + 7). Let r(x) = u*x + 4 - 4 - 3*x. Let l(c) = -6*c**2 - 4. Give l(r(j)). -24*j**2 - 4 Let t(q) = 7946348*q. Let y(r) = 3*r. Give t(y(s)). 23839044*s Let i(h) = -11 - h**2 + 28 - 17 + 3*h**2. Let m(f) = 130*f**2. Calculate i(m(z)). 33800*z**4 Let v(t) = -69835*t + 34923*t + 34914*t + 1 + 592*t**2. Let z(j) = -2*j. Calculate z(v(r)). -1184*r**2 - 4*r - 2 Let g(d) = 2*d**2 - d - 418553516. Let j(l) = -2*l**2. Calculate g(j(r)). 8*r**4 + 2*r**2 - 418553516 Let u(i) = 6*i**2 + i. Let h(q) = 223316*q. Give h(u(g)). 1339896*g**2 + 223316*g Let p(x) = 45*x**2 + 1. Let f be p(-1). Let k = -43 + f. Let q(g) = -g - 5*g + k*g. Let o(z) = 9*z**2. What is o(q(s))? 81*s**2 Let p(w) = -8*w**2. Let j(g) be the second derivative of -14*g**3/3 + 2270*g + 2. Calculate j(p(t)). 224*t**2 Let h(z) = 17*z**2 - 32. Let j(q) = 51*q - 19*q - 18*q - 12*q. Calculate j(h(w)). 34*w**2 - 64 Let d(j) = 2*j**2. Let k(r) = r**3 + 9*r**2 - 28*r - 35. Let q be k(-10). Let p = q - 70. Let f(w) = -27*w**2 + p*w**2 - 35*w**2. Calculate d(f(a)). 338*a**4 Let n(w) = 8*w. Let m(l) = 13*l. Let y(b) = 3*m(b) - 5*n(b). Let k(t) = t. Let x(a) = k(a) + 3*y(a). Let j(c) = -4*c**2 - 9*c. What is x(j(o))? 8*o**2 + 18*o Let w(o) be the second derivative of -1/24*o**4 - 13*o + 0 + 9/2*o**2 + 0*o**3. Let c(b) be the first derivative of w(b). Let q(x) = -x. What is q(c(d))? d Let j(i) = 11723*i. Let m(p) = p**2 - 93. What is m(j(c))? 137428729*c**2 - 93 Let d(z) = -2762*z**2 - 12677. Let w(s) = -2*s**2. What is d(w(g))? -11048*g**4 - 12677 Let n(p) = 2*p**2 + 63*p. Let b(x) = -11*x + 4. Let m(q) = 275*q - 99. Let v(t) = -99*b(t) - 4*m(t). What is n(v(r))? 242*r**2 - 693*r Let g(t) = 3*t + 11. Let b(i) be the second derivative of 0*i**2 + 2 + 1/6*i**3 + 4*i. What is b(g(u))? 3*u + 11 Let g(h) = -135*h. Let u(a) be the third derivative of 3*a**4/8 + 1729*a**2 - 2. Calculate u(g(z)). -1215*z Let o(a) = -47*a - 3. Let r(z) = 136*z + 10. Let l(x) = -17*o(x) - 6*r(x). Let w(p) = 2*p**2. Determine w(l(h)). 578*h**2 + 612*h + 162 Let s(j) = -3*j**2. Let h(t) = 45*t + 252. Let u(k) = 25*k + 134. Let x(r) = -6*h(r) + 11*u(r). Determine s(x(q)). -75*q**2 + 1140*q - 4332 Let w(m) = -26065602*m**2. Let s(h) = 14*h**2. What is s(w(t))? 9511818506713656*t**4 Let k(l) = 324990*l. Let w(r) = -r**2. Calculate k(w(q)). -324990*q**2 Let z = -1356 - -1989. Let q(v) = -z + 4*v + 633. Let y(i) be the second derivative of i**3/3 + i. Determine q(y(d)). 8*d Let g(l) = -25*l. Let n(c) = -4*c**2 - c - 1. Let a(f) = -5*f**2 - 22*f - 1. Let s(y) = -2*a(y) + 2*n(y). What is g(s(m))? -50*m**2 - 1050*m Let s be 13689/2*(-92)/(-138). Let j(z) = -13*z**2 - s*z + 4563*z. Let r(p) = 27*p**2. Determine r(j(t)). 4563*t**4 Let p(s) be the second derivative of -s**4/24 - 79*s**2/2 + 7*s - 2. Let d(r) be the first derivative of p(r). Let j(b) = -40*b**2. What is d(j(q))? 40*q**2 Let n(d) be the first derivative of 0*d**2 + 17 - 3*d + 1/3*d**3. Let s(l) be the first derivative of n(l). Let r(j) = 6*j. What is r(s(h))? 12*h Let q(i) be the third derivative of -2*i**2 + 0*i**3 - 1/12*i**4 + 6 + 0*i. Let y(p) = 2*p**2 - 2*p**2 - 2*p**2. Determine q(y(l)). 4*l**2 Let h(r) = -441*r - 2. Let v(o) = 1453*o. What is v(h(z))? -640773*z - 2906 Let q(a) = -27*a. Let s(p) = -75592*p**2. Calculate q(s(b)). 2040984*b**2 Let y(l) = -51*l**2 + 4755*l. Let s(n) = 218*n. Determine y(s(i)). -2423724*i**2 + 1036590*i Let g(u) = -147*u + 1. Let y(p) = 99251*p**2 + 99247*p**2 - 198501*p**2. Calculate g(y(x)). 441*x**2 + 1 Let u(q) = -2*q**2 - 55. Let y(w) = -w + 6. Let l(h) = h - 3. Suppose -2*k + 3*k - 9 = 3*i, 3*i + 3 = -k. Let c(s) = i*l(s) - y(s). Calculate c(u(f)). 2*f**2 + 55 Let l(z) be the second derivative of -5*z**4/3 + 153*z**2 - 1937*z. Let y(x) = 2*x**2. Give y(l(k)). 800*k**4 - 24480*k**2 + 187272 Let f(q) be the third derivative of q**4/12 + 64399*q**2. Let p(
{ "pile_set_name": "DM Mathematics" }
= -12*y - 25. Determine g(z). 35 Let w(q) = -12*q**3. Suppose 35*b = 32*b + 45. Let c be 11/(55/b) - (3 + -1). Determine w(c). -12 Let j(p) be the third derivative of p**5/60 + p**4/12 - p**3/6 + 69*p**2. Let m = 14 + -16. What is j(m)? -1 Let t(u) = -u - 26. Let x = -4092 + 4069. Determine t(x). -3 Let h(x) = -6*x + 174. Let w = 10486 - 10457. What is h(w)? 0 Let h(p) = -p**3 - 11*p**2 - 12*p. Let b be h(-10). Let r(q) = 40 + 9*q - b - 28 + q**2. Calculate r(-10). 2 Let c(y) be the first derivative of -3*y**4/4 - 2*y**3 - y**2 + 7*y - 118. Let i(v) = 7*v**3 + 10*v**2 + 5*v - 14. Let g(s) = -5*c(s) - 2*i(s). Give g(-10). -7 Let k(n) = -31*n + 82. Let p(q) = -21*q + 51. Let h(t) = -5*k(t) + 8*p(t). What is h(3)? -41 Suppose -2*j = 2*y - 21 + 13, -9 = 3*j - 4*y. Let c(d) = 12*d + 4. Give c(j). 16 Let r(t) = t**3 + 10*t**2 - 11*t + 5. Let n(i) be the third derivative of 5*i**4/8 - i**2. Let z be n(7). Let m = 94 - z. Give r(m). 5 Let a(c) be the third derivative of 3*c**5/20 - 13*c**4/8 + 932*c**2. Determine a(4). -12 Suppose 4*q - 28 = 4*m, -4*m - 85 = -3*q - 61. Let a(i) = -28*i + 3. Give a(m). 87 Let j(s) = -27*s**2 - 8 - 12*s - 19*s**2 - 28*s**2 + 95*s**2 - 20*s**2. Suppose -4*k + 36 = -4*i, -3*i - 2*i = -4*k + 35. What is j(k)? -28 Let h = 919 - 915. Let a(s) = s**3 - 3*s**2 - 10*s + 4. What is a(h)? -20 Let z = 4267 + -4261. Let o(q) = -q - 22. Calculate o(z). -28 Let q(o) = -o**3 - 25*o**2 - 125*o + 16. Let m be q(-7). Let y(p) = 1 + p + 0*p - 15. Let u be y(m). Let s(c) = c**2 + 4*c - 2. What is s(u)? 3 Let p(o) = -279*o - 12269. Let v be p(-44). Let i = 9 + -20. Let u(x) = 21*x - 9. Let z(c) = -4*c + 2. Let f(d) = i*z(d) - 2*u(d). What is f(v)? 10 Let g(l) = 4*l - 5. Suppose -6*q + 2*w = -2*q + 10, -5*q = 4*w + 6. Let u(d) = -8 + 21*d - 19 + 1. Let p(x) = q*u(x) + 11*g(x). Calculate p(2). 1 Let u(g) = -4*g**2 + 2*g + 2. Let q(i) = -15*i + 329. Let t be q(22). Determine u(t). -4 Let n(q) = q + 2. Let t = 66 - 66. Suppose 0*d + d + 2 = t, 5*d + 1 = z. Determine n(z). -7 Let i(k) = 56 + 52 + 51 + 54 - k**2 - 3*k - 207. What is i(-3)? 6 Let t(w) = 4*w**2 - 13*w - 21. Let a be t(-2). Suppose 317*r + a = 314*r. Let y(f) = f**3 + 7*f**2 - 2*f - 10. Calculate y(r). 4 Suppose -2*g + 8 = -2*r - 6, 4*g - 16 = -2*r. Let w(m) = m**3 + 2*m**2 - 2*m - 2. Let p be w(r). Let f(a) = a + p*a + 2 + a + a. What is f(-2)? -8 Let r(q) = -3 + 8*q**2 + 74*q - 38*q - 7*q**2 - 28*q - 8. Let g(m) = 7*m**3 - m**2. Let s be g(-1). Calculate r(s). -11 Let z(v) = 2*v**2 - 37*v + 22. Let r(x) = 3*x**2 - 46*x + 20. Let n(w) = -3*r(w) + 4*z(w). Give n(-12). 4 Suppose -162*i = 38*i - 400. Let d(f) = -3*f**2 - 3*f - 4. Let h(u) = 3*u**2 + 4*u + 5. Let w(n) = -5*d(n) - 4*h(n). Determine w(i). 10 Let h(a) = -2*a + 19. Let m be h(8). Suppose 0 = x + r - 4, -m*x = -3*r - 9 - 27. Let k(z) = -z + 16. What is k(x)? 8 Let r = 2421 - 2418. Let t(q) = -7*q + 2. What is t(r)? -19 Suppose 12*a + 525 = 19*a. Let l be (a/(-50))/((-1)/(-6)). Let o(u) = -u**2 - 12*u - 21. What is o(l)? 6 Let f(l) = l**2 + 47*l - 207. Suppose 147*n + 5457 = 40*n. Give f(n). -3 Let f(m) = -26*m + 130. Let i be f(5). Let p(j) be the second derivative of -j**3/6 - 6*j**2 - 7*j. Give p(i). -12 Suppose -25*x - 57 = -732. Let m = x - 38. Let d(b) be the third derivative of b**6/120 + 11*b**5/60 + b**3/2 - 5*b**2. Calculate d(m). 3 Let n(c) = 6*c**3 + 13*c**2 + c + 20. Let g(y) = -y**3 - 2*y**2 - 4. Let i(p) = 11*g(p) + 2*n(p). Calculate i(-3). -1 Let l(o) = -o - 3. Let t(y) = -y**2 + 41*y - 114. Let c be t(38). Suppose g - 5*v + 3 = -2, c = -2*g + 3*v - 3. What is l(g)? -3 Let d be (0 + (-2665)/10)*(-5 + 7). Let k = d - -534. Let m(y) = -6*y + 2. What is m(k)? -4 Let z(y) = -y - 1. Let n = 108 - 140. Let t = -37 - n. Calculate z(t). 4 Let r(v) = v**2 - 4*v - 1. Suppose -7 = -7*c - 0*c. Let g be c + -2 + (7 - 3). Suppose 0 = -5*k - g*q + 5 + 7, -5*q = 2*k - 1. Calculate r(k). -4 Let o(f) = -f**2 - 5*f - 7. Let r = 288 - -253. Let k = -546 + r. Give o(k). -7 Let w(i) = -17*i**2 - 32*i - 50. Let s(o) = -10*o**2 - 16*o - 25. Let b(r) = 5*s(r) - 3*w(r). Let y be b(-15). Let k(h) = -h**3 + 11*h**2 - 9*h - 9. Give k(y). 1 Let u(x) = -x + 2. Let h(z) = -z + 3. Let f(k) = -k**3 - 4*k**2 - 2*k. Let c be f(-3). Let g(t) = c*h(t) + 2*u(t). Let s be (-9 - 0)/((-450)/200). Give g(s). -1 Let o(a) = -40*a + 0 + 31 + 19*a + 22*a + 6. Determine o(-16). 21 Let k(u) be the third derivative of 1/15*u**5 - 5*u**2 + 1/24*u**4 - 1/3*u**3 + 0*u + 0. Let t be k(1). Let o(h) = -3*h**2 + 3*h + 1. Calculate o(t). -17 Let g(n) = n**2 + 5*n + 4. Let h(m) = 14*m**2 + 3*m - 1. Let x(f) = -f**2 + 10. Let s be x(3). Let y be h(s). Let r = y + -21. Determine g(r). 4 Suppose 35 = 11*b + 13. Suppose -7 + 35 = 3*d - b*i, d - 11 = -i. Let n(j) = j**3 - 10*j**2 + 3. Determine n(d). 3 Let s(n) = -4*n - 64 - 39 - 77 + 123. Calculate s(-24). 39 Let n(k) be the first derivative of -7*k**2/2 + 57*k + 1281. What is n(9)? -6 Suppose b + 16 + 68 = 4*y, 5*b + 443 = -3*y. Let r = 109 + b. Let s(t) = -25*t + 2 + 47*t - r*t. Calculate s(-8). -6 Let n be 3 + (-27)/21 - 24/(-84). Let b(i) = i**2 - i**3 + 2 - n*i + 2 - 2. Determine b(2). -6 Let z(q) = -3*q + 152. Let s(r) = -13*r + 633. Let l(o) = 6*s(o) - 25*z(o). Give l(-5). 13 Let i(c) = 28*c + 228 - c - 7*c - 27*c. Determine i(33). -3 Let p = -17516 + 17510. Let w(l) = -14*l - 61. Calculate w(p). 23 Let p(g) = -g**2 + 4*g + 1. Let n be (6/8)/(18/(-48)). Let z(u) = -3*u**2 + 14*u + 3. Let f(x) = n*z(x) + 7*p(x). Let d be -2 - (-3 - -2 - -1). Give f(d). -3 Let q(n) = 5233*n - 115135. Let j be q(22). Let l(m) = -21*m + 14. Let i(y) = -10*y + 7. Let v(t) = 13*i(t) - 6*l(t). Calculate v(j). 43 Let c be (780/468)/(5/6). Let x(a) = 16*a**2 - 13*a + 9. Let p(i) = -11*i**2 + 9*i - 6. Let g(w) = 7*p(w) + 5*x(w). Give g(c). 11 Let l be -14 - (-182)/56*4. Let v(s) = 9*s**3 - s**2 - 2*s - 2. Determine v(l). -10 Let v(f) = -5*f**3 + 2*f**2 + f. Let x be v(-1). Let r(z) = -107 + 367 - 260 + z - 6*z + z**2. Determine r(x). 6 Let w be (1047 + -1048)*((-6)/(-27) - (56/9 - -1)). Let f(y) be the first derivative of y**4/4 - 7*y**3/3 + y**2 - 7*y - 1. Give f(w). 7 Let w(x) = x**3 + 48*x**2 + 319*x - 9. Suppose 15*j + 10*j + 136 = 8*j. Give w(j). -1 Let d(u) = u**2 + 6*u + 3. Suppose -36 = 3*l + 3*t, t + 66 - 15 = -4*l. Let h(i) = i**3 + 14*i**2 + 19*i + 73. Let b be h(l). Determine d(b). -2 Let p(k) = 2*k**2 + 7*k + 3. Let z = -416 - -700. Let t be 24/(-5) - z/(-355). Calculate p(t). 7 Suppose 4*n + 254 = -13*u, 394*n - 392*n + 82 = -4*u. Let o(j) be the second derivative of -j**5/20 - 3*j**4/2 - j**3/6 - 9*j**2 + j. Determine o(u). 0 Suppose 21*m - 42 - 123 = -12*m. Let p(z) = z**3 - 5*z**2 - 6*z + 32. Give p(m). 2 Let g(r) be the first derivative of -r**5/10 + r**4/4 - r**2/2 + 47*r - 29. Let m(z) be the first derivative of g(z). What is m(2)? -5 Let y(n) = -15*n - 2. Let s(c) = -8*c - 2. Suppose 5*b + 2*d = -31, 3*b + 2*d + 33 = 12. Let t(f) = b*s(f) + 3*y(f). Calculate t(0). 4 Let m be (-2)/(-3) + (-77)/3. Let o be ((-200)/(-2000))/(2/80). Let j be ((-16)/(-18))/o + m/(-9). Let d(y) = y**2 - 2*y - 2. Calculate d(j). 1 Let z(a) = 9*a**3 + a - 1. Let j be 4/26 - 228/(-39). Suppose -12*f - 10 = -7*f. Let t be (-9)/j*f - 2. Calculate z(t). 9 Suppose -4*k + 2*q + q = -81, -q = -2*k + 39. Suppose k*f + 24 = 24*f. Suppose f + 16 = -5*z. Let l(o) = -o**2 - 6*o - 5. Give l(z). 3 Let g = 1 + 0. Suppose 0 = c - 4 - g. Let a(k) = 7*k - 192312 - 192287 + 384600 - 2*k**2. Calculate a(c). -14 Let h(m) = 93*m - 121. Let o(z) = -43*z + 56. Let p(i) = -6*h(i) - 13*o(i). Determine p(-1). -3 Let y(f) = 24*f**2 + 19*f + 13. Let g(z) = 13*z**2 + 10*z + 7. Let u(m) = 6*m + 126. Let c be u(-20). Let p(o) = c*y(o) - 11*g(o). Give p(-5). 6 Let z(p) = 5*p**2 - 4*p - 4. Suppose -4*h + 2*l = 8, 4*h - 88 = 5*l - 102. Determine z(h). 5 Let j(w) be the second derivative of 2*w**4/3 - 7*w**3/6 + 5*w**2 + 85*w - 45. Determine j(3). 61 Suppose -b = -0*b. Let d be (2 - 0) + b/12. Let y(r) = r**3 - 3*r**2 + r. Determine y(d). -2 Suppose -a - 2*a - 10*a = 52. Let z(m) = 3*m**2 - 7*m - 9. Let r(g) = -2*g**2 + 6*g + 8. Let y(t) = -4*r(t) - 3*z(t). Determine y(a). -9 Let r(w) = w**2 + 7*w + 13. Let m be r(-2). Suppose -5*z + 17 = -m*h, z - 6*z = -h - 19. Let q(k) =
{ "pile_set_name": "DM Mathematics" }
is prob of picking 2 c, 1 m, and 1 j? 4/55 Two letters picked without replacement from cffcnfcfcccfcccmmfcn. What is prob of picking 1 f and 1 c? 6/19 Calculate prob of picking 1 m, 1 l, and 2 t when four letters picked without replacement from mtlmmbmttlbmbbb. 2/91 What is prob of picking 4 h when four letters picked without replacement from ffffffffhffffffhff? 0 Three letters picked without replacement from wiwjwxxxwmwjxmwjxwx. Give prob of picking 2 j and 1 m. 2/323 Three letters picked without replacement from vnrnnnrnxnnvnnnn. What is prob of picking 2 n and 1 r? 11/56 What is prob of picking 1 a and 1 r when two letters picked without replacement from ilaapllwrrwl? 2/33 What is prob of picking 1 e, 1 r, and 2 b when four letters picked without replacement from {p: 3, x: 1, b: 6, r: 1, e: 2}? 6/143 What is prob of picking 3 z when three letters picked without replacement from ayzzayayzzzaauzzalal? 7/228 Calculate prob of picking 1 c and 3 k when four letters picked without replacement from {x: 1, i: 1, k: 10, t: 3, g: 2, c: 2}. 20/323 What is prob of picking 3 m and 1 j when four letters picked without replacement from {m: 3, j: 9}? 1/55 Two letters picked without replacement from {b: 4, u: 1, s: 11, t: 3}. What is prob of picking 1 t and 1 u? 1/57 What is prob of picking 1 y and 3 a when four letters picked without replacement from {a: 6, y: 7}? 28/143 Calculate prob of picking 2 i, 1 g, and 1 m when four letters picked without replacement from qfggfimifqjmfig. 6/455 Two letters picked without replacement from uucccaaucauceecuua. Give prob of picking 1 a and 1 c. 8/51 What is prob of picking 1 h and 3 j when four letters picked without replacement from {h: 2, j: 11, d: 3, n: 1, a: 1}? 11/102 Three letters picked without replacement from odxddndodqdqdddqd. What is prob of picking 2 q and 1 o? 3/340 What is prob of picking 1 a and 1 r when two letters picked without replacement from {r: 1, d: 1, c: 1, h: 1, a: 1}? 1/10 Calculate prob of picking 4 y when four letters picked without replacement from yyyyylyylyl. 7/33 What is prob of picking 2 s and 1 e when three letters picked without replacement from {s: 3, e: 2}? 3/5 Two letters picked without replacement from {o: 1, i: 18}. What is prob of picking 2 i? 17/19 Calculate prob of picking 1 m, 1 v, and 1 i when three letters picked without replacement from {o: 1, w: 1, v: 2, i: 2, m: 1}. 4/35 What is prob of picking 4 w when four letters picked without replacement from nwnwanwnnnnnannw? 1/1820 Calculate prob of picking 2 v when two letters picked without replacement from {m: 1, l: 5, v: 7, d: 1, b: 1, o: 5}. 21/190 Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {w: 1, q: 1, n: 1, v: 1, k: 1}. 1/10 Three letters picked without replacement from {v: 2, d: 11, f: 1, c: 1}. Give prob of picking 1 c, 1 d, and 1 v. 22/455 Four letters picked without replacement from ppbqbrppbbrrgp. Give prob of picking 1 q, 2 r, and 1 b. 12/1001 Two letters picked without replacement from {z: 4, i: 16}. Give prob of picking 2 z. 3/95 Two letters picked without replacement from lxllxl. Give prob of picking 1 l and 1 x. 8/15 What is prob of picking 1 b and 3 t when four letters picked without replacement from btgytgbywbjtg? 3/715 Calculate prob of picking 2 n and 2 f when four letters picked without replacement from {n: 5, f: 5}. 10/21 Calculate prob of picking 2 x when two letters picked without replacement from iixxvxvxvxivxix. 1/5 Three letters picked without replacement from {j: 3, t: 9}. Give prob of picking 3 t. 21/55 What is prob of picking 1 n and 1 a when two letters picked without replacement from gnggqqsgaszq? 1/66 What is prob of picking 1 e, 1 p, and 1 s when three letters picked without replacement from zsenesteszp? 3/55 What is prob of picking 1 x, 1 v, and 1 h when three letters picked without replacement from hkxnhhhvknkhhvxvhv? 7/102 Three letters picked without replacement from afaxxaxf. What is prob of picking 1 x and 2 f? 3/56 Four letters picked without replacement from uttuttuuut. Give prob of picking 1 u and 3 t. 5/21 Three letters picked without replacement from {k: 3, w: 5, p: 2, v: 3}. What is prob of picking 1 w and 2 v? 15/286 Three letters picked without replacement from ctctcfifjccqtjfjjt. Give prob of picking 1 f, 1 i, and 1 q. 1/272 Two letters picked without replacement from cceeecxeecx. What is prob of picking 1 c and 1 x? 8/55 Calculate prob of picking 2 f when two letters picked without replacement from {w: 3, h: 3, q: 5, f: 3, x: 2}. 1/40 What is prob of picking 2 f when two letters picked without replacement from ssfsnfffsff? 3/11 Two letters picked without replacement from {y: 10}. What is prob of picking 2 y? 1 What is prob of picking 1 o and 1 f when two letters picked without replacement from owozkzff? 1/7 What is prob of picking 3 s and 1 h when four letters picked without replacement from {s: 5, c: 8, h: 5}? 5/306 What is prob of picking 4 s when four letters picked without replacement from {j: 1, x: 1, s: 5, v: 3, m: 1, h: 1}? 1/99 Two letters picked without replacement from pppv. What is prob of picking 1 v and 1 p? 1/2 Calculate prob of picking 2 q and 1 k when three letters picked without replacement from {q: 10, k: 10}. 15/38 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from riiiiiir. 3/7 Calculate prob of picking 2 o and 1 d when three letters picked without replacement from {b: 2, p: 1, o: 11, d: 2, c: 2, x: 1}. 110/969 Calculate prob of picking 1 o, 2 x, and 1 c when four letters picked without replacement from wxwwcxwxowww. 1/165 Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {g: 1, i: 1, t: 1}. 1/3 Three letters picked without replacement from memmmcmeemmmnm. Give prob of picking 1 c and 2 e. 3/364 Two letters picked without replacement from {k: 2, q: 2, x: 1, l: 1, v: 4, b: 2}. What is prob of picking 2 v? 1/11 Three letters picked without replacement from xxaaaxaaaxxaxxxaaax. Give prob of picking 2 a and 1 x. 135/323 Calculate prob of picking 2 g when two letters picked without replacement from kggpgkdgkpkdkgdggh. 7/51 Calculate prob of picking 1 q and 1 i when two letters picked without replacement from iqiqiiiiqiiiiiqqiiii. 15/38 Four letters picked without replacement from krrrrrrrrrkrrrkr. What is prob of picking 4 r? 11/28 What is prob of picking 1 g and 2 o when three letters picked without replacement from eettogtteeteeeoo? 3/560 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from kpkpp. 3/5 Three letters picked without replacement from pxpxpppxppxpxpppppx. Give prob of picking 1 x and 2 p. 156/323 Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {s: 4, x: 9, m: 3, a: 4}. 6/95 Calculate prob of picking 2 b when two letters picked without replacement from {r: 13, b: 3, x: 4}. 3/190 Calculate prob of picking 2 b when two letters picked without replacement from {b: 6}. 1 Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {s: 3, u: 3, e: 3, o: 4}. 3/715 Four letters picked without replacement from bwpb. Give prob of picking 2 b and 2 w. 0 Four letters picked without replacement from {u: 2, x: 5, m: 5}. What is prob of picking 1 x, 1 m, and 2 u? 5/99 What is prob of picking 2 a and 1 x when three letters picked without replacement from qyfxafqfxqas? 1/110 What is prob of picking 1 s and 1 c when two letters picked without replacement from sdc? 1/3 Two letters picked without replacement from hhhhsszhs. What is prob of picking 1 h and 1 z? 5/36 Three letters picked without replacement from {y: 3, a: 1, c: 3, e: 10, w: 3}. Give prob of picking 3 y. 1/1140 Calculate prob of picking 1 p, 1 w, and 1 n when three letters picked without replacement from nwxfp. 1/10 What is prob of picking 1 j, 1 k, and 1 o when three letters picked without replacement from vkkdjkkjkovj? 3/44 Calculate prob of picking 1 l and 1 q when two letters picked without replacement from lllqqlqqqq. 8/15 Two letters picked without replacement from xtxlltxkx. What is prob of picking 1 k and 1 x? 1/9 Four letters picked without replacement from njjcjjcjcjjjjjj. What is
{ "pile_set_name": "DM Mathematics" }
= 3*j - 4 for j. -4 Solve -13*t = -19*t for t. 0 Solve -38*m + 132 = 170 for m. -1 Solve 30*v - 27*v = 6 for v. 2 Solve -41 = 30*p + 79 for p. -4 Solve 10*p + 1451 = 1491 for p. 4 Solve 7883 = 3*o + 7874 for o. 3 Solve 178*p = 175*p - 18 for p. -6 Solve -13*h + 11*h - 10 = 0 for h. -5 Solve -822 = -18*u - 714 for u. 6 Solve -22 - 233 = 51*c for c. -5 Solve -490 = -34*l - 252 for l. 7 Solve -10*f + 24 = -2*f for f. 3 Solve 1 + 17 = 6*g for g. 3 Solve x = -3*x for x. 0 Solve 59*s - 56 = 62 for s. 2 Solve 88 = 28*m - 108 for m. 7 Solve -369*n + 371*n - 4 = 0 for n. 2 Solve 0 = -36*r + 33*r + 12 for r. 4 Solve -23*w + 15*w = 24 for w. -3 Solve -18*v - 63 = 45 for v. -6 Solve 0 = 15*n + 9*n + 120 for n. -5 Solve 8*i - 5*i = 0 for i. 0 Solve 2*h + 171 = 173 for h. 1 Solve -5*h - 20 = -15 for h. -1 Solve 0 = 485*k - 471*k - 126 for k. 9 Solve 19*i + 60 = -11*i for i. -2 Solve -6 - 24 = -6*c for c. 5 Solve 2*g = 15*g + 13 for g. -1 Solve -8*m = -26*m for m. 0 Solve -4 + 6 = i for i. 2 Solve 0 = -16*j - 89 + 41 for j. -3 Solve 2 = 24*n - 70 for n. 3 Solve 81*q = 474 + 12 for q. 6 Solve 20 = -22*c - 24 for c. -2 Solve 5*h = -1144 + 1104 for h. -8 Solve -1772*a = -1765*a + 70 for a. -10 Solve -111 = -17*x - 9 for x. 6 Solve -414 = -65*u + 41 for u. 7 Solve -18*h = -19*h + 5 for h. 5 Solve -86 - 70 = 26*o for o. -6 Solve 81*m = 63*m - 108 for m. -6 Solve 10*m - 17*m = -21 for m. 3 Solve -822*h - 24 = -828*h for h. 4 Solve 2*r + 12*r - 28 = 0 for r. 2 Solve -84 = -47*o + 59*o for o. -7 Solve -321*a = -324*a - 12 for a. -4 Solve -155 + 157 = 2*i for i. 1 Solve 4*n - 3*n - 4 = 0 for n. 4 Solve 0 = -2*m - 0*m + 10 for m. 5 Solve 2*k - 72 = 26*k for k. -3 Solve -18*j = 77 - 5 for j. -4 Solve 0 = -187*x + 244*x - 171 for x. 3 Solve 0 = 5*j - 172 + 177 for j. -1 Solve 53*v = 41*v for v. 0 Solve -7*t = -30 - 5 for t. 5 Solve -18*v = -23 + 23 for v. 0 Solve 234*g - 220*g = 42 for g. 3 Solve -6*x + 6 = 24 for x. -3 Solve 20 = -5*l + 25 for l. 1 Solve 2*y - 16 = 6*y for y. -4 Solve -16 = 109*o - 113*o for o. 4 Solve 4*r - 11 = -7*r for r. 1 Solve 0 = -81*z + 90 - 9 for z. 1 Solve 6*s - 4*s = 0 for s. 0 Solve 10*f = 941 - 881 for f. 6 Solve 14*s = -104*s for s. 0 Solve 19*z - 87 = -106 for z. -1 Solve 28 = -13*h + 41*h for h. 1 Solve 4*b + 8*b + 48 = 0 for b. -4 Solve -2*q + 2 + 4 = 0 for q. 3 Solve -454 = p - 449 for p. -5 Solve 3*n = 3 + 12 for n. 5 Solve 129*w = 103*w + 156 for w. 6 Solve 53*w = -3*w + 504 for w. 9 Solve -44 = 5*p - 16*p for p. 4 Solve 36*y - 39*y - 15 = 0 for y. -5 Solve -29*k = -1 + 30 for k. -1 Solve 7*k - 6*k = 4 for k. 4 Solve 13*b - 5 = 14*b for b. -5 Solve -1149*y + 48 = -1157*y for y. -6 Solve -379*d + 382*d - 24 = 0 for d. 8 Solve -8*i - 25 = -13*i for i. 5 Solve -7*w = -27*w - 80 for w. -4 Solve -37*g + 45*g = -8 for g. -1 Solve 22 - 2 = 5*i for i. 4 Solve 0 = 14*a - 13*a for a. 0 Solve -8*k = -55*k - 470 for k. -10 Solve 200 + 224 = 53*x for x. 8 Solve 632*m - 635*m = 0 for m. 0 Solve 21 = 6*n + 3 for n. 3 Solve 0 = 3*s - s - 6*s for s. 0 Solve 0 = -97*f + 45*f + 260 for f. 5 Solve 16*w = 90*w - 148 for w. 2 Solve -21*n = 53 + 31 for n. -4 Solve 2*z = 73 - 79 for z. -3 Solve 43*j + 21 = 36*j for j. -3 Solve -38*b = -46*b + 56 for b. 7 Solve 336 = -63*s - 42 for s. -6 Solve 0 = 68*w + 280 + 332 for w. -9 Solve 114*u + 196 + 602 = 0 for u. -7 Solve 0 = 19*j - 18*j - 5 for j. 5 Solve 2*u - 14955 = -14971 for u. -8 Solve 5*z - 3 = 22 for z. 5 Solve -8*m - 20 = -4 for m. -2 Solve 40*x + 45 = 49*x for x. 5 Solve -44 = 12*x - 104 for x. 5 Solve 13 - 28 = 3*g for g. -5 Solve -13*r + 18 = -34 for r. 4 Solve 2*t + 25 = -3*t for t. -5 Solve 3*z - 2556 = -2583 for z. -9 Solve -11*z - 28 = -127 for z. 9 Solve 2885 = 9*d + 2894 for d. -1 Solve -25*o = -2*o + 46 for o. -2 Solve 2*o - 11 = 1 for o. 6 Solve -4*r - 6 = 2 for r. -2 Solve 0 = 2*c + c - 6 for c. 2 Solve 61*x - 14 = 47*x for x. 1 Solve -14*s = -36*s + 176 for s. 8 Solve -379 = -9*c - 325 for c. 6 Solve 80*x = 70*x - 30 for x. -3 Solve -35*q - 110 = -13*q for q. -5 Solve 0 = 30*s - 37*s + 63 for s. 9 Solve -18 = 9*c + 9*c for c. -1 Solve o = 2*o - 7*o for o. 0 Solve 0 = -347*g + 326*g + 21 for g. 1 Solve -25*v - 9*v - 238 = 0 for v. -7 Solve 91*t = 40*t + 51 for t. 1 Solve a - 16 = -7*a for a. 2 Solve 8*a - 2*a - 6 = 0 for a. 1 Solve -4*b = -9 + 29 for b. -5 Solve -10*g - 1009 = -1059 for g. 5 Solve 0 = 16*i - 11*i - 5 for i. 1 Solve -75 = -12*q + 27*q for q. -5 Solve 0 = 19*t - 11*t for t. 0 Solve 27*y - 48 = 15*y for y. 4 Solve -29*r + 44*r = 0 for r. 0 Solve -39*h = -34*h for h. 0 Solve -17*q - 180 = 13*q for q. -6 Solve -56 - 119 = 35*n for n. -5 Solve -5 + 0 = -5*f for f. 1 Solve -3*q = 18 - 3 for q. -5 Solve -y - 161 = -161 for y. 0 Solve 13*d = -11*d - 48 for d. -2 Solve 66*t - 67*t = 0 for t. 0 Solve 7 + 45 = -13*r for r. -4 Solve -26*r + 115 + 67 = 0 for r. 7 Solve 27 = -6*g - 3*g for g. -3 Solve -23*a + 2*a = 2*a for a. 0 Solve 13*u = 18*u - 5 for u. 1 Solve 44 = 10*v + 24 for v. 2 Solve -6*x + 182 - 170 = 0 for x. 2 Solve 226 - 225 = -w for w. -1 Solve 176*d = 152*d + 144 for d. 6 Solve 42*v + 120 = 18*v for v. -5 Solve 5*r + 35 = 50 for r. 3 Solve 41*p = 105 - 146 for p. -1 Solve 73 = -3*o + 70 for o. -1 Solve 0 = 5*m - 4*m - 3 for m. 3 Solve -11*v - 6 = -14*v for v. 2 Solve -5*g - 67 = -32 for g. -7 Solve 40*o = 227 - 67 for o. 4 Solve 300*n = 302*n + 4 for n. -2 Solve 10*u + u - 44 = 0 for u. 4 Solve -2 = 4*o - 18 for o. 4 Solve r = -10 + 6 for r. -4 Solve 0 = -12*m - 72*m - 252 for m. -3 Solve 0 = 19*k - 6*k + 39 for k. -3 Solve 9*f = 30 + 6 for f. 4 Solve 0 = -18*r + 103*r - 340 for r. 4 Solve -8*i = 6*i for i. 0 Solve 38 = -88*n - 50 for n. -1 Solve -z + 5852 - 5846 = 0 for z. 6 Solve 0 = 8*n + 18 - 2 for n. -2 Solve -143 = 114*n + 883 for n. -9 Solve -225 = -444*k + 489*k for k. -5 Solve -16*a + 4 = -17*a for a. -4 Solve 0 = -78*r - 44*r + 244 for r. 2 Solve 24 = 23*z - 35*z for z. -2 Solve 0 = 70*a + 474 + 226 for a. -10 Solve -10*r + 98 = 28 for r. 7 Solve -71*p + 72*p - 6 = 0 for p. 6 Solve -23*n = 104*n + 508 for n. -4 Solve 12 = 20*c - 17*c for c. 4 Solve 11*n - 12 = 23*n for n. -1 Solve -12 - 3 = 15*k for k. -1 Solve -63*n - 372 - 6 = 0 for n. -6 Solve 4*n - n - 15 = 0 for n. 5 Solve 3 = -21*n + 20*n for n. -3 Solve -2*j = -j - 3 for j. 3 Solve -472 = 2*p - 482 for p. 5 Solve -48 = -37*d + 31*d for d. 8 Solve -6*s - 9*s - 15 = 0 for s. -1 Solve -40*a + 7 = -47*a for a. -1 Solve -15*s + 0 = 30 for s. -2 Solve -62*r + 27*r + 34*r = 0 for r. 0 Solve -63 = 3388*v - 3379*v for v. -7 Solve 5*b = -87 + 112 for b. 5 Solve -27*u + 29*u = 8 for u. 4 Solve -34 + 40 = 6*k for k. 1 Solve -102*r = -109*r for r. 0 Solve 15*m + 59 = -1 for m. -4 Solve 31 = -44*o + 13*o for o. -1 Solve 4*n + 155 = 35*n for n. 5 Solve 91*i - 95*i = -8 for i. 2 Solve -3*c - 110 = -128 for c. 6 Solve -32*c - 222 = 2 for c. -7 Solve -22 = -21*t + 20 for t. 2 Solve 14*z + 5 = 19*z for z. 1 Solve -7*o + 19*o = 12 for o. 1 Solve -30*w = 18*w + 480 for w. -10 Solve 0 = 7*k - 46 + 102 for k. -8 Solve -9*a + 19*a - 40 = 0 for a. 4 Solve -8*c - 62 = -22 for c. -5 Solve 39*m + 171 = -63 for m. -6 Solve 29 = -13*a - 16*a for a. -1 Solve -5*o + 7*o + 2 = 0 for o. -1 Solve -t = -10*t - 45 for t. -5 Solve 24 = 76*u - 84*u for u. -3 Solve 0 = -2*r - 5*r - 21 for r. -3 Solve -3 + 4 = -w for w. -1 Solve -17*t + 48 = -9*t for t. 6 Solve 32 = -11*y - 23 for y. -5 Solve 1 = -7*l - 6 for l. -1 Solve -31*o + 37*o - 42 = 0 for o. 7 Solve -11 = 3*f - 2 for f. -3 Solve 151*o = 159*o + 40 for o. -5 Solve 86 = -30*y + 26 for y. -2 Solve p + 16 = 5*p for p. 4 Solve -275 = -33*h + 22 for h. 9 Solve 11*s - 4 = -48 for s. -4 Solve 18*w = 65 - 29 for w. 2 Solve 33 = 31*q - 29 for q. 2 Solve 23*z - 18*z = 0 for z. 0 Solve -3*c = -2*c + 1 for c. -1 Solve 27*o - 86 + 167 = 0 for o. -3 Solve 118 - 42 = -19*w for w. -4 Solve 1045*m - 1056*m = 55 for m. -5 Solve 11 + 37 = -12*x for x. -4 Solve 0 = -7*i - 43 + 8 for i. -5 Solve 23*r - 27*r = -12 for r. 3 Solve 33*s - 34*s = 1 for s. -1 Solve 0 = 7*s - 3*s - 8 for s. 2 Solve -2*g = -8 - 0 for g. 4 Solve -12 = 6*c - 2*c for c. -3 Solve 113*o - 111*o = 0 for o. 0 Solve 111 = 18*u - 55*u for u. -3 Solve -15 = -214*t + 229*t for t. -1 Solve -22 - 5 = -27*b for b. 1 Solve 2 - 191 = -63*z for z
{ "pile_set_name": "DM Mathematics" }
r? 375 What is 553854.546 minutes in weeks? 54.9458875 How many millilitres are there in 21/4 of a litre? 5250 What is 0.4440862 litres in millilitres? 444.0862 How many nanometers are there in 0.5796249cm? 5796249 What is one tenth of a milligram in nanograms? 100000 How many kilograms are there in seven quarters of a tonne? 1750 How many years are there in 46/5 of a millennium? 9200 How many millilitres are there in 12/25 of a litre? 480 How many millilitres are there in 25/4 of a litre? 6250 What is eighteen fifths of a centimeter in micrometers? 36000 What is 0.4377966 millilitres in litres? 0.0004377966 What is 66.95718 centuries in decades? 669.5718 What is seventeen quarters of a year in months? 51 How many kilograms are there in 11/10 of a tonne? 1100 How many nanometers are there in three eighths of a micrometer? 375 What is 5866.39 decades in months? 703966.8 How many nanometers are there in 15/4 of a micrometer? 3750 How many minutes are there in 178659.9ms? 2.977665 How many meters are there in 27/2 of a kilometer? 13500 How many centimeters are there in three tenths of a kilometer? 30000 How many millilitres are there in 55.9832 litres? 55983.2 Convert 1343164.788us to weeks. 0.00000222084125 Convert 32049.9m to kilometers. 32.0499 What is 2.5524 minutes in seconds? 153.144 What is 25/8 of a day in hours? 75 What is 9675.404 milligrams in kilograms? 0.009675404 What is eleven eighths of a day in hours? 33 What is 10023.93441ns in weeks? 0.000000000016573965625 How many millilitres are there in seven halves of a litre? 3500 What is 1503673.416ms in weeks? 0.0024862325 How many millilitres are there in thirty-seven halves of a litre? 18500 How many nanometers are there in 37/5 of a micrometer? 7400 What is 78837.23ml in litres? 78.83723 What is seven halves of a meter in centimeters? 350 What is 86173.03 millennia in years? 86173030 What is 3/8 of a microgram in nanograms? 375 How many micrograms are there in 7/4 of a milligram? 1750 What is 1/4 of a hour in minutes? 15 What is 1/4 of a tonne in kilograms? 250 What is ten ninths of a day in minutes? 1600 Convert 1.550901t to grams. 1550901 How many decades are there in 2054.08 centuries? 20540.8 How many years are there in 28.38306 decades? 283.8306 How many minutes are there in sixteen ninths of a week? 17920 How many millennia are there in 51834.07 centuries? 5183.407 Convert 5.473939 millilitres to litres. 0.005473939 What is 192223.4 litres in millilitres? 192223400 What is 1/10 of a second in milliseconds? 100 How many decades are there in fourty-five quarters of a millennium? 1125 What is 6.936377t in micrograms? 6936377000000 What is three eighths of a gram in milligrams? 375 What is 9.977773 nanometers in kilometers? 0.000000000009977773 How many years are there in 6/25 of a millennium? 240 What is 0.8593577 millennia in months? 10312.2924 How many milliseconds are there in 6/5 of a second? 1200 How many nanograms are there in 3.781209mg? 3781209 How many millennia are there in 85.65916 centuries? 8.565916 What is twenty-nine fifths of a millennium in months? 69600 Convert 6100.06 litres to millilitres. 6100060 What is 3382.6ml in litres? 3.3826 Convert 391.5543ug to milligrams. 0.3915543 What is 3.188406nm in micrometers? 0.003188406 What is 7/8 of a week in minutes? 8820 How many kilograms are there in seven halves of a tonne? 3500 What is eleven quarters of a centimeter in micrometers? 27500 What is one ninth of a day in minutes? 160 How many meters are there in nine tenths of a kilometer? 900 What is 3903.496 microseconds in seconds? 0.003903496 Convert 95560.72 centuries to millennia. 9556.072 What is 8/25 of a kilometer in meters? 320 What is 0.0252647s in microseconds? 25264.7 How many millilitres are there in 3/5 of a litre? 600 Convert 566.1769 years to centuries. 5.661769 How many hours are there in 43/6 of a day? 172 What is twenty-one fifths of a litre in millilitres? 4200 How many millimeters are there in 726.4007cm? 7264.007 What is 25/2 of a meter in millimeters? 12500 What is 17942.5071s in weeks? 0.02966684375 How many micrograms are there in 4715.584 nanograms? 4.715584 What is 947382.5 litres in millilitres? 947382500 What is 3/25 of a litre in millilitres? 120 What is thirteen quarters of a century in years? 325 What is 3/10 of a microgram in nanograms? 300 How many seconds are there in nine tenths of a day? 77760 How many minutes are there in two sevenths of a week? 2880 Convert 78.15186 micrograms to tonnes. 0.00000000007815186 What is thirty-one fifths of a litre in millilitres? 6200 Convert 51137.27 decades to centuries. 5113.727 How many months are there in 13/5 of a millennium? 31200 What is one fifth of a gram in milligrams? 200 How many millilitres are there in 91.94037l? 91940.37 What is 0.9565995 years in months? 11.479194 What is 14.01582m in millimeters? 14015.82 What is 63.39699 weeks in seconds? 38342499.552 Convert 8020.384um to kilometers. 0.000008020384 Convert 237.8565 weeks to seconds. 143855611.2 What is twenty-one quarters of a century in years? 525 What is nine tenths of a millennium in centuries? 9 How many days are there in 67016.736 minutes? 46.5394 How many micrograms are there in thirty-one halves of a milligram? 15500 What is 40.16279l in millilitres? 40162.79 What is six fifths of a kilogram in grams? 1200 How many millilitres are there in 27/2 of a litre? 13500 How many seconds are there in 10013.82 days? 865194048 Convert 755661.4 centimeters to millimeters. 7556614 What is five eighths of a microsecond in nanoseconds? 625 How many kilograms are there in 213.1903ng? 0.0000000002131903 How many centimeters are there in eighteen fifths of a meter? 360 Convert 7340.746 hours to seconds. 26426685.6 How many centimeters are there in 1/10 of a meter? 10 What is 81075.44 minutes in seconds? 4864526.4 What is 57/2 of a kilogram in grams? 28500 How many microseconds are there in one tenth of a millisecond? 100 What is 67/5 of a tonne in kilograms? 13400 How many minutes are there in three fifths of a week? 6048 How many micrometers are there in 3/40 of a millimeter? 75 What is five sixths of a day in hours? 20 How many nanograms are there in three fifths of a microgram? 600 How many kilograms are there in 5/4 of a tonne? 1250 Convert 172126.2kg to micrograms. 172126200000000 What is 54.62981ug in kilograms? 0.00000005462981 What is 1/5 of a millennium in years? 200 How many millennia are there in 1.6934 decades? 0.016934 How many millilitres are there in 132259.2l? 132259200 How many millilitres are there in 11/2 of a litre? 5500 What is 663.0101us in nanoseconds? 663010.1 How many years are there in three eighths of a millennium? 375 What is 3/10 of a litre in millilitres? 300 How many kilograms are there in 1/20 of a tonne? 50 Convert 9213345.54 microseconds to weeks. 0.00001523370625 How many years are there in 1.6903659 months? 0.140863825 Convert 744.0483 tonnes to nanograms. 744048300000000000 What is twenty-seven fifths of a litre in millilitres? 5400 What is 54/5 of a decade in months? 1296 Convert 94417.4 nanometers to kilometers. 0.0000000944174 What is three eighths of a kilometer in meters? 375 How many micrograms are there in seven quarters of a milligram? 1750 How many months are there in seven halves of a decade? 420 What is 0.0899666nm in centimeters? 0.00000000899666 What is 88.5368 nanometers in micrometers? 0.0885368 What is 73330.21l in millilitres? 73330210 What is thirty-two fifths of a tonne in kilograms? 6400 Convert 1.47159 seconds to microseconds. 1471590 How many minutes are there in 25/7 of a week? 36000 Convert 949315.3 nanometers to micrometers. 949.3153 Convert 1.4682528 minutes to days. 0.00101962 What is 298.1475 millimeters in nanometers? 298147500 How many micrometers are there in seven halves of a centimeter? 35000 What is 52/5 of a minute in seconds? 624 What is 33/5 of a litre in millilitres? 6600 Convert 5726.627 weeks to milliseconds. 3463464009600 How many minutes are there in 629.2284 weeks? 6342622.272 What is 5/4 of a week in hours? 210 Convert 1.777464 milligrams to grams. 0.001777464 How many micrograms are there in fourty-nine fifths of a milligram? 9800 How many months are there in
{ "pile_set_name": "DM Mathematics" }
5 + t**4 - t Expand (-1249 - 826 - 1361 - 630 + 1036)*(-2*m**3 + m**2 - m**2). 6060*m**3 Expand (10 + 13*c - 10)*(-16*c - 21*c - 36*c + (2 + 1 - 2)*(3*c + 0*c - c))*(2*c**2 - 2*c + 2*c). -1846*c**4 Expand 3654*b - 3653*b + 295*b**3 - 884*b**3 - 2*b**3 + 2*b**3 - 2*b**3 + (-b**2 - b**3 + b**2)*(-1 - 2 + 2) + 4*b**3 - b**3 - b**3. -588*b**3 + b Expand (-12*u**2 - 20 + 22 + 5*u**2)*(2 - 15 - 7). 140*u**2 - 40 Expand (-5*n**2 + 2*n**2 - n**2)*(3*n - 4*n + 5*n) - 5*n**3 + n**3 + 0*n**3 + (5*n**2 - n**2 - 3*n**2)*(2*n + 2*n + n) + 0*n**3 - 3*n**3 + 0*n**3. -18*n**3 Expand (-77*s**2 - 37*s**2 - 108*s**2)*(28 - 28 - 10*s). 2220*s**3 Expand -306*r - 1 - 326*r + 654*r + (-3 + 2 + 2)*(-4*r + 2*r + 4*r) + (0 + 0 + 2)*(0*r - 4*r + 2*r). 20*r - 1 Expand k**4 + 0*k**4 + 0*k**4 + (-k - 1 + 1)*(-2*k**3 + 3 - 3) - 91*k**4 + 29*k**4 - 330*k**4. -389*k**4 Expand (-2 + 40 - 5)*(-5*r - r - r)*(-2 + 0 + 6)*(3 - 3 + 2*r**2 + (r - r - r)*(3*r - 3*r - r) - 5*r**2 + 4*r**2 - r**2). -924*r**3 Expand 0*h**2 - 3*h**2 - h**2 + (24 + 115 + 176)*(2*h - 2*h + 3*h**2). 941*h**2 Expand (332 + 52 - 86)*((-g + 7*g + 4*g)*(-5 + 5 - 2) + (0 - 2*g + 0)*(-2 - 1 + 4)). -6556*g Expand (3 + 70*b - b - 6 + 3)*(79*b + 16*b - b). 6486*b**2 Expand -2929*w**5 - 59*w + 38*w + 21*w + 901*w**5 + 5*w**5 - 5*w**5 + 3*w**5 + w**5 - 5*w + 5*w + (-5 + 4 - 1)*(-3*w**5 + 0*w**5 + w**5). -2020*w**5 Expand (-10*u + 24 - 24)*(10*u**2 - 3*u**3 - 4*u**2 - 21*u**2). 30*u**4 + 150*u**3 Expand -3*p**3 - 10252*p**5 + 8555*p**5 + 3*p**3 + (p**2 + p**2 + p**2)*(p**3 - p**3 - 2*p**3). -1703*p**5 Expand (-2*r**3 + 2*r**3 - 4*r**3)*(-300*r - 2 - 36*r + 626*r). -1160*r**4 + 8*r**3 Expand -3*k + 2*k - 2*k + (-2*k + 0*k + 0*k)*(1 + 1 - 5) + (-7*k - 229*k - 256*k)*(-3 + 1 + 0). 987*k Expand (1 - 4 - 2)*(-3 - 6 - 1)*(-9 + 9 - 44*h). -2200*h Expand (0 - 1 - 1)*(108 + 9 + 94)*(4*x - x + 0*x)*(-4*x - x + 3*x). 2532*x**2 Expand ((-j - j - j)*(0 + 1 - 2) + (2*j - 2*j - j)*(-3 + 6 - 4))*(2*j + j**4 - 2*j + (-2*j**2 + j**2 + 3*j**2)*(5694*j - 111*j**2 - 5694*j)). -884*j**5 Expand (132*l - 1040 + 519 + 523)*(3 + 26 - 7). 2904*l + 44 Expand (378*i**2 + 392*i**2 - 642*i**2)*(-5 + 4 + 3) + 2*i**2 + i**2 - 4*i - 5*i**2. 254*i**2 - 4*i Expand (-2 + 6 - 3)*(k + 0*k - 3*k) + 31*k + 10*k + 0*k + 4*k - 4*k - 4*k. 35*k Expand (5 - 3 + 2)*(22641 - 2*f**3 - 17*f - 22641). -8*f**3 - 68*f Expand (a**3 + a**3 - 3*a**3)*(0*a - 2*a - 6*a) - 4*a**4 + 65*a**4 + 55*a**4 + 2*a**2. 124*a**4 + 2*a**2 Expand (-85*o + 49*o + 44*o - 2*o**3 - 3)*(1187 - 1187 + 91*o). -182*o**4 + 728*o**2 - 273*o Expand (5*d - 5*d - 8*d**3)*(-180*d - d**2 + 331*d - 91*d). 8*d**5 - 480*d**4 Expand (-20*v**2 + 43*v**2 - 10*v**2)*(-8*v**3 + 7*v - 7*v) - 2*v**5 + 3*v**5 - 3*v**5. -106*v**5 Expand (1 - 2*z - 1 - 3*z + 10 - 10 + (-4*z - 2*z + 3*z)*(3 + 0 - 2))*(2*z + 2 - 2)*(-8*z - 4*z**2 + 8*z) + (-3*z**3 + 10*z**3 + z**3)*(-2*z + 7*z - 4*z). 72*z**4 Expand (3 - 1 + 0)*(4*t**3 - 764 - 698 + 1381). 8*t**3 - 162 Expand (1 + 6 - 9 - 3 + 3 - 2 + (-2 + 0 + 0)*(1 - 2 + 2) - 3 + 5 - 1 - 2 - 2 + 1 + 0 + 0 + 1)*(252*b - 252*b + 36*b**3). -252*b**3 Expand (-105*h**2 + 77*h**2 - 116*h**2 + (-3*h - 3*h + 5*h)*(-54 - 41*h + 112 - 59))*(-h**2 + 2*h**2 - 3*h**2). 206*h**4 - 2*h**3 Expand -1943 + 1917 + 3*d**2 + 9*d**2 - d**5 + 5*d**5 + d**5 - 3*d**5 + (2*d + d - d)*(0*d**4 - d**4 + 3*d**4). 6*d**5 + 12*d**2 - 26 Expand (-s**5 - 12*s**5 - 4*s**5)*(18 - 1 + 4)*(0 + 3 + 1). -1428*s**5 Expand 5 + 10164*d**3 - 10083*d**3 - 2 + (-2*d**2 + 2*d**2 + d**2)*(-3 + 3 + 2*d). 83*d**3 + 3 Expand -5*n**4 + 10*n**4 - n**5 - 8*n**4 + (30*n**4 - n**4 + 17*n**4)*(2*n - 1 + 1). 91*n**5 - 3*n**4 Expand -614 + 161*o**4 + 614 - o**4 + 0*o**4 + 0*o**4 - 2*o**4 + 2*o**4 - 2*o**4 + (0 + o**3 + 0)*(0*o + 3*o - 2*o) + 2*o**4 + o**3 + 0*o**4 + 2 - o**4. 160*o**4 + o**3 + 2 Expand -k + 3*k + 0*k + (-3*k + 3*k + k)*(-3 + 3 - 1) + (-1796 + 1796 - 52*k)*(1 - 1 + 4). -207*k Expand -80*o**2 + 59*o**2 + 99*o**2 + (-1 + 0 + 6*o + 4*o)*(0 - 1 + 0)*(-o - 2*o + o). 98*o**2 - 2*o Expand (-1 - 2 + 1)*(-60 + 49 - 25)*(-21 + 21 + 5*q) + (1 + 0 - 2)*(2 - 3 - 2*q + 0). 362*q + 1 Expand 4 + i**2 + 29471*i**3 - 58934*i**3 + 29462*i**3 - 10*i + (i**2 - i**2 - i**3)*(-5 + 3 + 0) + 0*i + 0*i + i**3 + 2*i + i**3 - 2*i. 3*i**3 + i**2 - 10*i + 4 Expand ((31 - 2*g**2 - 31 + 8*g)*(7*g**2 - 4*g**2 + 3*g**2) + 0*g**4 - 2*g**4 + g**4)*(-4 + 1 + 10). -91*g**4 + 336*g**3 Expand (1 - g**3 - 1 + 0*g + 2*g**3 + 0*g + (-3*g**2 + 5*g**2 - g**2)*(-7*g + 9*g - 79*g))*(9 - 2*g - 1 - 4). 152*g**4 - 304*g**3 Expand (32*u + 23*u - 54*u)*(-43 - 15 + 5). -53*u Expand (-3 + 1 + 3)*(-1 - 14 + 5 + (2 + 0 + 0)*(2 - 2 - 1) + (3 - 3 - 2)*(0 - 1 - 1))*(6 - 6 + 8*b). -64*b Expand (-9580 + 9580 + 49*t**3)*(-13*t + 1 + 12*t - 8*t). -441*t**4 + 49*t**3 Expand (54 - 56 - 201*x - 245*x)*(-x - 5*x + x + 0 + 0 - x + (4*x + x - 4*x)*(2 - 2 + 2)). 1784*x**2 + 8*x Expand (-153 - 53 + 9)*(-z**5 - z**3 + 8*z - 8*z). 197*z**5 + 197*z**3 Expand (6*x**3 - 3*x**3 - 5*x**3)*(-1 + 1 - 2)*(0 - 2*x**2 + 0) - 731052*x**3 + 26*x**5 + 731052*x**3 - 11. 18*x**5 - 11 Expand (3*t**3 + t**3 - 5*t**3)*(2*t + 1 - 1) + 21*t**2 - 18*t**4 - 21*t**2 + 33*t**4 + 28*t**4 - 19*t**4. 22*t**4 Expand (0 - 11 - 12)*(-15*r**3 - 128*r**2 + 128*r**2)*(-4*r**2 + 0*r**2 + 3*r**2). -345*r**5 Expand (1 - 5 + 3)*(2 - 2 + 3*a)*(8 - 21 - 31)*(-4 + 5 - 3)*(28*a - 34*a + 22*a)*(2 - 3 + 0). 4224*a**2 Expand (-8*z**4 + 0*z**4 - 2*z**4)*(-6 - 3*z + 6) + (-6*z**2 + 8*z**2 + z**2)*(41*z**3 + 21*z**2 - 21*z**2). 153*z**5 Expand -1 + 1 + j**2 + (-61 + 61 - 7*j)*(2926 - 2926 - 419*j). 2934*j**2 Expand (2102*j**2 + 216*j**2 + 3790*j**2 + 250*j**2)*(5*j + 0*j - 2*j). 19074*j**3 Expand (15 - 20 - 10 + 1 - 2 - 1 + (3 + 2 - 4)*(4 - 4 - 1))*(-2 - 4*o + 2)*(0 + 5 + 1). 432*o Expand (17*p**2 + 45*p**2 - 3*p**2)*(0 - 8 - 1 - 4 + 1 + 2 + 0 + 1 - 3 + 0 + 4 - 2 + (-2 + 0 + 1)*(-2 - 2 + 2) + 0 - 2 + 6)*(1 + 1 - 4). 472*p**2 Expand ((-6*m + 0*m + 3*m)*(-5*m**2 + 9*m**2 + 6*m**2) - 2*m**3 - 2*m**3 + 6*m**3 + m**3 + m**3 - 3*m**3 + (-2 + 2 - 2*m**2)*(m - 2 + 2))*(4*m + 0*m + 8*m). -372*m**4 Expand (-214 - 9*r + 214)*(-13 + 3 - 15)*(-5*r - 2*r + 4*r). -675*r**2 Expand 4*s - 5*s + 3*s + (149*s + 75*s - 459*s)*(1 + 5 - 4) + (18*s + 13*s - 34*s)*(4 - 1 - 2). -471*s Expand (-8*b**2 - 57*b**2 - 18*b**2)*(-20*b - 19*b - 29*b). 5644*b**3 Expand (-4*h + 2*h - 5*h)*(3*h**2 + 10 - 10) + 18*h**3 - 130*h + 130*h. -3*h**3 Expand (-2*f + 0 + 0)*(1 + f - 1) - 3*f**2 + 5*f**2 - 3*f**2 + 28 - 33 - 2*f + 16 - 54*f**2. -57*f**2 - 2*f + 11 Expand (80 + 87 - 37)*((-3 + 4 - 3)*(0 + 4 - 5) + 1 - 2 - 1 - 1 + 1 - 1 - 3 - 1 + 2)*(2 + 2*x - 2). -780*x Expand (-3 - 2*m - 2*m - 3*m)*((-m**4 + 5*m**4 - 2*m**4)*(5 + 0 - 3) - 3 + 3 + m**4 - 32*m**3 - 22*m**4 + 32*m**3). 119*m**5 + 51*m**4 Expand (-1249*i**2 - 1 - 3*i + 649*i**2 - 433*i**2)*(-1 + 0 - 3). 4132*i**2 + 12*i + 4 Expand (54 + 169 + 66)*(-1 - 1 + 0)*(3*u - 5*u + 3*u). -578*u Expand (-2*m**3 + 0*m**2 + 0*m**2)*(-1 - 4 + 3) + m**3 + 0*m**2 + 0*m**2 - 4*m**2 + 4*m**2 + m**3 + (-7*m**3 + 8*m**2 - 8*m**2)*(-10 + 21 + 48). -407*m**3 Expand (1342 - 163*s - 1342)*((-3 + 0 + 2)*(2 + 2 - 5) + 4 - 1 - 1 - 3 + 2 + 0 + 5 - 2 - 2 + (-3 - 3 + 7)*(-3 + 3 + 2)). -815*s Expand (13809 - 2*l**2 - 13809)*(-10 + 3 + 4). 6*l**2 Expand (-236 - 444 - 203)*(-w + 2*w + 0*w + (-w + w - 3*w)*(0 - 3 + 5)). 4415*w Expand (u**4 - 3*u**4 + 3*u**4 - 2*u)*(348 - 89 + 27) + (u**4 + 2*u**4 - 2*u**4)*(4 - 4 - 1) - 3*u**4 + 4*u**4 + u**4. 287*u**4 - 572*u Expand (t - 5*t + 3*t)*(2*t - 2*t + 2*t) + 0*t**2 + 0*t**2 - 2*t**2 + 4*t**2 - 5*t**2 + 3*t**2 + (4*t + 0*t - 3*t)*(3 - 3 - 1)*(-83*t - 30*t + 7*t). 104*t**2 Expand (45*q - 96*q - 88*q)*(-2 + 1 + 2)*(1 - 1 + 6). -834*q Expand (-5*f + 3*f + f)*(0*f + 0*f - f**2) - 126*f**3 + 307*f - 307*f + 5*f**3 - 2*f**3 + 0*f**3 + (-6*f - 6*f + 5*f)*(-10*f - 3*f**2 + 10*f). -101*f**3 Expand ((2*y - 4*y + y)*(-3*y - 6*y + 37*y) - 2*y**2 - y**2 + 5*y**2)*(-2*y**2 - 2*y**2 - y**2) + 7*y**3 - y**4 - 11*y**3 - 6*y**3. 129*y**4 - 10*y**3 Expand (-51*d + 0*d**2 - 8*d - 2*d**2)*((3*d**2 - 6*d**2 + 2*d**2)*(0 + 1 - 3) - 3*d**2 + 4*d**2 + 5*d**2). -16*d**4 - 472*d**3 Expand (-72440 + 539*y**2 + 72440)*((4*y - 2*y + 2 - 1)*(2*y - 3*y + 3*y) + 0*y**2 - 4*y**2 + 5*y**2). 2695*y**4 + 1078*y**3 Expand (-4*o + 2*o + 6*o + (1 - 5 + 3
{ "pile_set_name": "DM Mathematics" }
+ m(g). Let d(h) = -5*h**2. Calculate s(d(n)). -125*n**4 Let c(j) = -4*j**2 + 5*j - 5. Let q(l) = -l**2 + l - 1. Let g(n) = 3*c(n) - 15*q(n). Let f(k) = 4*k. Determine g(f(x)). 48*x**2 Let u(w) = w**2. Let m(o) = 12*o**2 + 5*o - 11. Let r(x) = -5*x**2 - 3*x + 6. Let d(a) = 3*m(a) + 5*r(a). Determine d(u(y)). 11*y**4 - 3 Let p(c) = -451*c. Let a(l) = -3*l**2. Calculate p(a(h)). 1353*h**2 Let z(u) = 24*u**2. Let b(t) = -t**2. Give z(b(g)). 24*g**4 Let p(q) = -2*q. Let d(r) be the second derivative of -r**3/6 - 8*r. Calculate d(p(c)). 2*c Let f(r) = -r + 19. Let c(o) = 25*o. Calculate f(c(g)). -25*g + 19 Let a(d) = -d. Let t = 6 - 6. Let i(o) = t*o + o**2 + 2*o - 2*o. Give a(i(m)). -m**2 Let h(j) = -13*j**2. Let l(m) = 7 + 3 + m - 10. Determine h(l(o)). -13*o**2 Let r(a) = a. Let g be 2 + (2/(-2) - 1). Let m(f) = -f - 2*f + g*f. Let s(k) = 3*m(k) + 8*r(k). Let z(c) = -3*c**2. Determine s(z(q)). 3*q**2 Let m(f) = -6*f. Let k(p) = -3*p**2 - 35. Give k(m(x)). -108*x**2 - 35 Let k(f) = 105 + 3*f - 105. Let h(o) be the third derivative of -o**5/60 + o**2. Give h(k(q)). -9*q**2 Let j(a) = -2*a - 4. Let z(c) = c + 1. Let g(t) = j(t) + 4*z(t). Let m(w) = 4*w**2. What is m(g(s))? 16*s**2 Let i(p) = -3*p + 3. Let c(x) = -1. Let a(h) = -3*c(h) - i(h). Let o(z) = -18*z**2. Give o(a(k)). -162*k**2 Let j(y) = -86*y. Let w(v) = -9*v**2. Calculate w(j(x)). -66564*x**2 Let z(w) be the first derivative of -w**5/120 + 7*w**3/3 + 8. Let r(o) be the third derivative of z(o). Let l(g) = 2*g**2. Give r(l(x)). -2*x**2 Let n(r) = r**2. Let o(g) = -20*g**2 - 11*g**2 + 21*g**2. Give n(o(x)). 100*x**4 Let f(n) = -n. Let a(k) = k**2 + 19*k. Give a(f(i)). i**2 - 19*i Let w(a) be the second derivative of 13*a**4/12 + 5*a. Let b(z) = -2*z**2. Calculate w(b(q)). 52*q**4 Let v(r) = r**2 - r. Let c be v(2). Let m(p) = 6*p**c - 2*p**2 - 4*p**2 + p**2. Let l(x) = 3 - 3 + 2*x**2. What is l(m(w))? 2*w**4 Let f(l) = l**2. Let p(q) = 11 + 3 - 5*q - 14 - q**2. Calculate p(f(u)). -u**4 - 5*u**2 Let g(h) be the third derivative of -h**4/8 + 44*h**2. Let r(j) = -3*j. Calculate r(g(a)). 9*a Let r(x) = 4*x**2 - 35 + 63 - 28. Let z(w) be the second derivative of w**3/3 + w. Determine r(z(l)). 16*l**2 Let g(c) = -2440*c. Let z(s) = -2*s. Determine g(z(j)). 4880*j Let q(h) = 2*h**2 + 4*h. Let r be 3/(6/5)*-2. Let g(k) = -2*k**2 - 5*k. Let w(v) = r*q(v) - 4*g(v). Let z(j) = 201 - 201 - 5*j**2. Give z(w(s)). -20*s**4 Suppose -4*t = 4*i - 8, 10 = -0*t + 5*t - 2*i. Let s(l) = -6*l**t + 0*l + 4*l**2 + 0*l. Let x(m) = -m**2. Give s(x(f)). -2*f**4 Suppose 0 = -2*f + s + 2, f - 3*s - 3 = -7. Let p(l) = 3*l**2 + 3*l**2 - 4*l**2 + f*l**2. Let j(k) = 3*k. Calculate j(p(z)). 12*z**2 Let g(v) = v**2 + 5*v**2 - 2*v**2. Let r(b) = 2 + 46*b**2 - 49*b**2 - 2. Give g(r(a)). 36*a**4 Let l(b) = 3*b. Suppose 3*t = 2*w - 9, w - 15 = 6*t - t. Let f(m) = 0 - 3*m**2 + w*m**2 + 0. Calculate f(l(s)). -27*s**2 Let w = 4 + -3. Let i(o) = -2*o - w + 1 - 5*o. Let a(v) = -v. What is i(a(u))? 7*u Let y(f) = -43*f**2 - 2. Let z(g) = 7*g**2. Give z(y(c)). 12943*c**4 + 1204*c**2 + 28 Let o(a) be the third derivative of -a**5/60 + a**2. Let w(h) be the first derivative of -2*h**2 - 46. Determine o(w(x)). -16*x**2 Let i(l) = 4*l**2. Let r(s) = 7*s**2 - 4. Calculate r(i(y)). 112*y**4 - 4 Let n be 1/(0 - (-2)/6). Let r(w) = 3*w + w + n*w - 6*w. Let a(x) = -2*x. What is a(r(t))? -2*t Let f(s) = 2*s**2 - 3. Let l(o) = -4*o**2 + 1 + 2*o**2 + o**2 + 0*o**2. Let k(y) = 2*f(y) + 6*l(y). Let x(v) = -10*v**2. Give k(x(z)). -200*z**4 Let j(y) be the second derivative of -5/12*y**4 + 0 + 0*y**3 + 0*y**2 + 8*y. Let g(s) = s. What is j(g(x))? -5*x**2 Let z(f) = -f. Let u(m) = 5 + 8 - 29*m - 13. Give u(z(w)). 29*w Let m(o) = -22*o. Let g(j) = -j**2 + 9*j. Give m(g(s)). 22*s**2 - 198*s Let a(v) = -2*v**2. Let f(b) = -4*b + 3. Let g(x) = -4 + 5*x + 0*x - 5*x + 5*x. Let j(n) = 4*f(n) + 3*g(n). Calculate j(a(u)). 2*u**2 Let b(s) = -7*s - 5. Let j(h) = 3*h + 2. Let l(t) = 2*b(t) + 5*j(t). Suppose 8 = 4*o - 2*u, -4*o + 3*u + 1 = -7. Let g(d) = -o*d - 4 + 4. Determine l(g(i)). -2*i Let s(r) = r - 1 + 1. Let n(i) = 67 - 135 + 68 + 6*i. What is n(s(o))? 6*o Let j(r) = 9*r. Let d(l) = -5*l**2 + 0*l**2 + 9*l**2 - l**2. What is d(j(m))? 243*m**2 Let c(i) = -i. Let j(v) = -3*v. Calculate c(j(x)). 3*x Let j(k) be the third derivative of k**5/30 + k**2. Let z(h) be the first derivative of -h**3/3 + 6. Determine z(j(f)). -4*f**4 Let j(b) be the second derivative of -b**3/2 - b. Let g(l) = 4*l**2 - 5*l. Let v(r) = -3*r**2 + 4*r. Let w(i) = -4*g(i) - 5*v(i). Calculate j(w(d)). 3*d**2 Let y(t) = 7*t**2. Let l(n) = n**2. Let w(x) = 6*l(x) - y(x). Let s = -8 - -11. Let p(u) = 2*u - u - s*u. What is w(p(k))? -4*k**2 Let f(p) be the second derivative of p**3/6 + 12*p. Let t(y) = -3*y**2. What is t(f(x))? -3*x**2 Let n(j) = -23*j**2 - 1. Let r(y) = 2*y + 246. Calculate n(r(t)). -92*t**2 - 22632*t - 1391869 Let s(c) = 10*c**2 + 16*c. Let h(t) = 2*t**2 + 3*t. Let z(w) = -16*h(w) + 3*s(w). Let y(p) = -3*p. What is y(z(n))? 6*n**2 Let c(m) = -47*m + 3. Let w(k) = -8*k. Determine c(w(v)). 376*v + 3 Let h(l) be the second derivative of l**3/6 + 8*l. Let t(j) = -j**2. Give t(h(a)). -a**2 Let t(f) = 2*f**2. Let u(c) be the first derivative of -c**5/20 - c**2/2 - 3. Let w(n) be the second derivative of u(n). Calculate t(w(x)). 18*x**4 Let n(r) = 4*r + 8*r - r. Let x(t) = t. Calculate n(x(d)). 11*d Suppose -4*z - 2*b = -4, 3*b - 4 = 4*b. Let x(d) = -4 + 3 + z - 1. Let u(c) = 2*c - 4. Let k(a) = -u(a) - 4*x(a). Let s(i) = i**2. Determine k(s(p)). -2*p**2 Let c(r) = 9*r. Let l(t) = -2*t - 588. Determine l(c(f)). -18*f - 588 Let j(m) = -m + 1. Let p(s) = 5*s + 4*s - 5*s - 3. Let z(b) = -3*j(b) - p(b). Let x(c) = 27*c. Let w(k) = -7*k. Let o(y) = -15*w(y) - 4*x(y). Give o(z(g)). 3*g Let y(s) = -4*s - 3. Let p(q) = -15*q - 11. Let a(z) = -6*p(z) + 22*y(z). Let i(r) = 2*r**2. Calculate i(a(d)). 8*d**2 Let h(z) = 40*z**2 - z**2 - 16*z**2 - 5*z**2. Let t(b) = -2*b**2. Calculate h(t(d)). 72*d**4 Let a(o) = o**2. Let x(m) = m - 1. Let b(z) = -10 - 6*z**2 + 2*z**2 + 21*z - 11 + z**2. Let q(r) = 3*b(r) - 63*x(r). Determine a(q(n)). 81*n**4 Let l(z) be the second derivative of z**3/2 - 3*z. Let w(a) be the third derivative of a**5/60 - a**2. Determine w(l(m)). 9*m**2 Let r(w) be the third derivative of 1/60*w**5 + 4*w**2 + 0*w**4 + 0*w**3 + 0 + 0*w. Let b(n) = n**2. Give r(b(g)). g**4 Let j(l) = -4*l. Let x(n) = 38*n. Determine j(x(s)). -152*s Let a(b) = 8*b**2. Let j(r) be the second derivative of -2*r**3/3 - 17*r. Calculate a(j(s)). 128*s**2 Let g(w) = w**2. Let t(b) = -3 + 9 - 6 - 4*b**2. Calculate g(t(h)). 16*h**4 Let j(i) = -i**2. Let o(s) = 4*s - 10. Give o(j(b)). -4*b**2 - 10 Let t(h) = -53*h - 4*h + 14*h. Let w(p) = -2*p**2. What is t(w(s))? 86*s**2 Let v = 10 + -5. Let w(n) = -n**2 + 2*n + 2. Let q(u) = -2*u**2 + 5*u + 5. Let g(j) = v*w(j) - 2*q(j). Let k(d) = 5*d. Determine k(g(h)). -5*h**2 Let a(q) = 12*q**2. Let m(s) = -8*s**2. Give m(a(r)). -1152*r**4 Let s(y) = -y**2. Suppose 3*r + r + 20 = -4*j, -2*j = 5*r + 25. Let t(a) be the first derivative of 1/3*a**3 - 1 + j*a + 0*a**2. Calculate s(t(b)). -b**4 Let t(h) be the second derivative of -5*h**3/2 + 10*h**2 - h. Let v(n) = 2*n - 3. Let r(o) = 3*t(o) + 20*v(o). Let b(c) = c. Determine b(r(s)). -5*s Let c(h) be the third derivative of h**4/24 - h**2. Let m = 7 - 1. Let k(d) = -m*d**2 - d**2 + 3*d**2 + 5*d**2. Determine c(k(u)). u**2 Let n(u) = -3*u - 2. Let w(a) = 13*a + 9. Suppose 6 = 4*i - i. Suppose -i*z - z = 12. Let j(h) = z*w(h) - 18*n(h). Let f(r) = 2*r**2. What is f(j(q))? 8*q**2 Let f(l) = -l. Let x(c) be the third derivative of -c**6/180 + c**4/12 + 6*c**2. Let a(g) be the second derivative of x(g). Calculate f(a(v)). 4*v Let u(w) = -11*w**2. Let l(q) = 2*q. Calculate l(u(t)). -22*t**2 Let x(q) = -2*q**2 + 142. Let f(h) = -5*h**2. What is f(x(c))? -20*c**4 + 2840*c**2 - 100820 Suppose w + 15 = -3*l, -8 = -0*w - 4*w + 5*l. Let j = w - -5. Let z(v) = -v**2 + 2*v**j + 3*v**2. Let b(t) = -t**2. Determine z(b(p)). 4*p**4 Let d(b) = b + 2. Let g(s) = -6*s - 11. Let f(o) = 11*d(o) + 2*g(o). Let a(y) = 4*y. Calculate f(a(j)). -4*j Let b(f) = -3*f + 2 - 2. Let k(v) = -2*v - 3. Let u(l) = -6*l - 10. Let m(w) = 10*k(w) - 3*u(w)
{ "pile_set_name": "DM Mathematics" }
Let y(t) = -14*t + t + 29 - 19*t + 2 + 227. Let m be y(8). Factor 0 + 1/7*l + 0*l**4 + 1/7*l**5 + 0*l**m - 2/7*l**3. l*(l - 1)**2*(l + 1)**2/7 Let t(z) = z**2 - z + 6. Let v be t(0). Find c such that -108*c**3 - 16*c + 5*c**5 + 46*c**4 + 14*c**2 - v*c**2 + 5*c**5 + 168*c**3 = 0. -2, -1, 0, 2/5 Let c(g) = 2*g**2 - 3*g + 2. Let x(a) = 23*a**2 + 5*a + 30. Let y(o) = -18*c(o) + 2*x(o). Factor y(q). 2*(q + 6)*(5*q + 2) Let o(k) be the second derivative of k**4/6 - 1498*k**3/3 + 561001*k**2 + 33*k - 23. Factor o(w). 2*(w - 749)**2 Let v(y) = 3*y**3 - 336*y**2 + 2811*y + 10. Let i(d) = -4*d**3 + 336*d**2 - 2810*d - 12. Let h(r) = -5*i(r) - 6*v(r). Factor h(m). 2*m*(m - 8)*(m + 176) Suppose 0 = -3*n + 11*n - 96. Factor -23*g**3 + 0*g**4 + 3*g**4 - 6*g + 9 + 29*g**3 - n*g**2. 3*(g - 1)**2*(g + 1)*(g + 3) What is g in 12918*g**3 + 227 - 69*g**2 - 227 - 810*g - 12919*g**3 = 0? -54, -15, 0 Let o(y) be the second derivative of -33*y + 27/5*y**2 - 1/20*y**4 - 17/10*y**3 + 0. Find s, given that o(s) = 0. -18, 1 Suppose 776*c + 4*v = 777*c - 18, 3*c + v = 2. Let x(s) be the first derivative of 0*s + 1/2*s**c + 7 + 5/6*s**3. Factor x(o). o*(5*o + 2)/2 Suppose 18*j + 4*q = 13*j + 415, 4*q = -j + 83. Suppose 160*n**3 + 6*n**2 - j*n**3 - 75*n**3 - 8*n**4 = 0. Calculate n. -3/4, 0, 1 Suppose 0 = 858*d + 2001*d - 11436. Factor 0*g + 22/9*g**3 - 2*g**5 + 0 + 8/3*g**d + 4/9*g**2. -2*g**2*(g - 2)*(3*g + 1)**2/9 Factor 1/4*t**4 - 297/2 + 13/4*t**3 - 623/4*t**2 + 1203/4*t. (t - 18)*(t - 1)**2*(t + 33)/4 Let z be 24/(-10) - -2 - (-610)/25. Let u = 29 - z. Factor -2*r**2 - 2*r**2 - 29*r + u*r**2 + 4 + 24*r. (r - 4)*(r - 1) Suppose 2834*v + 104 = 2860*v. Let c(b) be the second derivative of 1/36*b**v + 5/3*b**3 + 75/2*b**2 - 12 + 2*b. Determine j so that c(j) = 0. -15 Let p(j) be the first derivative of -58 + 13/5*j + 1/25*j**5 - 6/5*j**2 + 3/5*j**4 - 14/15*j**3. Factor p(y). (y - 1)**2*(y + 1)*(y + 13)/5 Let p(z) be the first derivative of 14*z**2 - 20 + 1/18*z**3 + 0*z - 1/36*z**4 + 1/180*z**5. Let i(c) be the second derivative of p(c). Solve i(d) = 0. 1 Suppose -4152 = -6798*h + 5760*h. Factor -33*d**h + 168/5*d**3 + 0*d - 36/5*d**2 + 0 - 15*d**5. -3*d**2*(d + 3)*(5*d - 2)**2/5 Let m(g) be the first derivative of g**3/2 - 309*g**2 + 1233*g/2 + 285. What is u in m(u) = 0? 1, 411 Let y(x) = -28*x**3 - 1008*x**2 - 52*x + 908. Let s(k) = -4*k**3 - 144*k**2 - 8*k + 129. Let n(q) = 20*s(q) - 3*y(q). Solve n(h) = 0. -36, -1, 1 Factor -4/7*y**2 + 340/7*y - 984/7. -4*(y - 82)*(y - 3)/7 Let s be -2 - (-925034)/1001 - -2. Let p = s - 6374/7. Determine v so that 32/13 - p*v + 242/13*v**2 = 0. 4/11 Let y be (-8176)/308 + 26 + (-98)/(-77). Factor -8/11*d - y - 2/11*d**2. -2*(d + 2)**2/11 Suppose 6*f = 17*f - 9174. Let 6*p - f + 834 - 2*p**2 = 0. What is p? 0, 3 Let l(t) be the third derivative of t**6/60 - 251*t**5/30 - 127*t**4/6 + 168*t**3 - 2037*t**2 + 2*t. Determine r, given that l(r) = 0. -2, 1, 252 Let d(p) be the first derivative of -p**6/3 - 67*p**5/10 - 81*p**4/2 - 583*p**3/6 - 221*p**2/2 - 60*p + 141. Determine o, given that d(o) = 0. -10, -4, -1, -3/4 Let z = -7/62044 + 4467287/1054748. Determine u so that -2/17*u**3 + 26/17*u**2 + z - 96/17*u = 0. 1, 6 Let u be 651 - 17 - 8/4. Let b = 662 - u. Factor 27/2*r**2 + b*r + 50/3. (9*r + 10)**2/6 Let m(q) be the first derivative of -2*q**3/3 - 77*q**2/5 - 12*q + 7523. Solve m(n) = 0. -15, -2/5 Let u be 2/(-15) + (-15)/((-2053800)/18496). Let g = 6872/14833 - u. Determine j, given that 2/13 + g*j + 2/13*j**3 + 6/13*j**2 = 0. -1 Solve 1/2*b**4 + 2185454*b + 112550881/2 + 206*b**3 + 31827*b**2 = 0 for b. -103 Let l = 1843 + -1835. Let k = 13 - 8. Factor k*g**4 + l*g**2 - 5*g + 1 - 10*g**3 + 9*g**2 - 152*g**5 - 7*g**2 + 151*g**5. -(g - 1)**5 Let -2/19*n**2 - 1412/19*n + 0 = 0. What is n? -706, 0 Suppose -p + 5*k - 80 = 12*k, -5*k - 72 = -3*p. Determine d, given that 8/7 + 5/7*d**2 + 5/7*d**5 - 31/7*d**3 - 13/7*d**p + 26/7*d = 0. -1, -2/5, 1, 4 Let s(f) be the first derivative of 5*f**4/4 + 50*f**3 - 5*f**2/2 - 150*f - 2877. Let s(z) = 0. What is z? -30, -1, 1 Let u = -30471 + 30473. Determine o so that 0 - 1/2*o**3 + 2*o + 0*o**u = 0. -2, 0, 2 Let j = -11/1131 - -2317/5655. Solve 2*b**2 - j*b + 6/5*b**4 - 14/5*b**3 + 0 = 0. 0, 1/3, 1 Let n(d) be the third derivative of d**5/60 - 29*d**4/8 + 297*d**3 - 280*d**2 + 5*d + 2. Factor n(r). (r - 54)*(r - 33) Let -287*j**2 - 9*j**4 + 720*j + 6*j**4 + j**4 - 50*j**3 - 32*j**2 + 67*j**2 = 0. Calculate j. -15, -12, 0, 2 Let 22*v**3 + 1/2*v**4 + 57*v**2 - 182*v + 205/2 = 0. Calculate v. -41, -5, 1 Suppose 3*l + 38 = q, 4*q + 24 = -9*l + 5*l. Let u be -2*(54/5 + l). Factor u*y**3 + 2*y - 7/10 - 9/5*y**2 + 1/10*y**4. (y - 1)**3*(y + 7)/10 Let x = -25/8386 - -2109/4193. Factor x*w**2 - 1/2*w - 6. (w - 4)*(w + 3)/2 Let i be -88*((-44)/154 - 22/(-28)). Let j be i/(-154)*(0 + (-3)/(-6)). Let -j*d**2 - 10/7 + d = 0. What is d? 2, 5 Let l be 185/15 - 3922/318. Factor 2/11*j**4 + 450/11*j**2 + l + 0*j - 60/11*j**3. 2*j**2*(j - 15)**2/11 Let c(r) be the second derivative of -r**5/230 + 95*r**4/69 - 187*r**3/23 + 11538*r. Suppose c(f) = 0. Calculate f. 0, 3, 187 Let t(h) = -h**3 + 9*h**2 - 16*h + 3. Let a be t(4). Let o be (-5392)/(-760) + -6 + 2/a. Factor -o*b + 3/5 + 3/5*b**2. 3*(b - 1)**2/5 Let w be 6/(-7) - 580/(-203). Factor 20 + 37*c**3 - 217*c + 77*c + 55*c**w - c**3 + 29*c**3. 5*(c - 1)*(c + 2)*(13*c - 2) Let t = 2921/4 + -20435/28. Factor -9/7*l - t*l**3 + 0 - 12/7*l**2. -3*l*(l + 1)*(l + 3)/7 Find p, given that -392 + 609*p**2 - 298*p**2 - 313*p**2 + 394*p = 0. 1, 196 Let b(i) be the third derivative of 7/600*i**5 + 8*i - 2/15*i**3 + 1/2100*i**7 + 0 + 5*i**2 + 1/40*i**4 - 1/200*i**6. Let b(p) = 0. Calculate p. -1, 1, 2, 4 Let z(c) = -2*c**3 + 8*c**2 + 71*c + 63. Let n be z(-1). Factor -2/3 - n*y - 2*y**2 - 2/3*y**3. -2*(y + 1)**3/3 Let y = -123698/5 - -24826. Factor 72/5*m + y + 3/5*m**2. 3*(m + 12)**2/5 Let d = -109792 + 109795. Determine n so that 2/9*n**2 - 2/3*n**d + 0 + 2/3*n - 2/9*n**4 = 0. -3, -1, 0, 1 Let i(u) = 3*u**2. Let k(y) = -84*y**2 - 72*y - 132. Let b(f) = 27*i(f) + k(f). Factor b(h). -3*(h + 2)*(h + 22) Let n(g) be the second derivative of -g**5/210 - 1139*g**4/63 + 2279*g**3/63 - 4*g - 1140. Factor n(h). -2*h*(h - 1)*(h + 2279)/21 Let h(n) = 174*n - 197. Let r be h(-5). Let a = r + 1070. Factor 4*o**2 - 1/4*o**a - 16*o + 0. -o*(o - 8)**2/4 Let p be (-7)/14*5/(5/8). Let u be (-8)/10*10/p. Solve 21 - 16*i**3 - 10 - 19 + 36*i - 12*i**u = 0 for i. -2, 1/4, 1 Let p(q) be the first derivative of q**4/20 + 113*q**3/15 - 141*q**2/2 + 1071*q/5 + 2964. Factor p(h). (h - 3)**2*(h + 119)/5 Suppose -830 = -110*o - 189*o + 67. Let w(s) be the first derivative of -8/7*s - 9/7*s**2 + 6 + 5/21*s**o. Factor w(j). (j - 4)*(5*j + 2)/7 Let y(z) be the second derivative of -z**10/30240 + z**8/6720 + 29*z**4/6 - 4*z - 7. Let d(c) be the third derivative of y(c). Factor d(o). -o**3*(o - 1)*(o + 1) Let j(d) = -3*d - 1. Let l be j(-1). Let m = 1057 - 1043. Solve 14*n**l + m*n**3 + 4*n - 18*n**2 - 14*n**2 = 0. 0, 2/7, 1 Solve 0 - 2/7*o**3 - 72/7*o**2 - 198/7*o = 0 for o. -33, -3, 0 Let g(n) be the first derivative of -2*n**3/15 + 37*n**2/5 - 72*n/5 + 956. Factor g(k). -2*(k - 36)*(k - 1)/5 Let w(q) be the third derivative of q**7/42 + 3*q**6/4 + 39*q**5/4 + 205*q**4/3 + 280*q**3 - 7*q**2 + q - 16. Solve w(g) = 0 for g. -7, -4, -3 Let u(q) be the third derivative of q**7/350 + 4*q**6/15 + 17*q**5/100 - 53*q**4/60 + 3925*q**2. Factor u(l). l*(l + 1)*(l + 53)*(3*l - 2)/5 Let k = 12 + -8. Factor -158*z**2 - 2*z**2 - 8*z**3 - 2*z**k + 0*z**4 - 26*z**3 - 128*z. -2*z*(z + 1)*(z + 8)**2 Suppose 0*h = -3*g - 2*h + 58, 2*g = -3*h + 37. Suppose g = -10*u + 14*u. Solve 39*s**3 + 42*s**2 - 5*s**u - 6*s**3 + 2*s**3 - 12*s**2 = 0 for s. -2, -1, 0, 3 Let r(b) be the first derivative of b**3/5 + 159*b**2/10 - 174*b + 2462. Factor r(m). 3*(m - 5)*(m + 58)/5 Let t be ((-10)/10)/(1/18). Let i = t + 20. Factor 969*b**2 - 969*b**i - 2*b**3. -2*b**3 Let m be -39*(64 - 68 - 23/(-7)). Determine y, given that 150/7 - m*y - 12/7*y**3 + 12*y**2 = 0. 2, 5/2 Let g(w) be the first derivative of 2*w**5/25 + 3*w**4/10 + 4*w**3/15 - 1003. Factor g(m). 2*m**2*(m + 1)*(m + 2)/5 Let h = -23/9 - -341/63. Let r be (-5 + (-133)/(-21))*(-
{ "pile_set_name": "DM Mathematics" }
ens digit of 2366? 6 What is the hundred thousands digit of 134179? 1 What is the tens digit of 921? 2 What is the units digit of 2746? 6 What is the hundreds digit of 11680? 6 What is the thousands digit of 49606? 9 What is the hundreds digit of 1135? 1 What is the units digit of 61805? 5 What is the thousands digit of 49949? 9 What is the units digit of 1476? 6 What is the thousands digit of 170546? 0 What is the thousands digit of 6448? 6 What is the thousands digit of 9543? 9 What is the hundreds digit of 71352? 3 What is the ten thousands digit of 47794? 4 What is the hundreds digit of 8643? 6 What is the hundreds digit of 777? 7 What is the units digit of 9424? 4 What is the thousands digit of 25745? 5 What is the units digit of 13144? 4 What is the hundreds digit of 54068? 0 What is the thousands digit of 1270? 1 What is the tens digit of 911? 1 What is the tens digit of 2760? 6 What is the thousands digit of 41499? 1 What is the ten thousands digit of 17712? 1 What is the ten thousands digit of 47052? 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9 What is the tens dig
{ "pile_set_name": "DM Mathematics" }
+ 3*z - 3*z)*(4 + 7 - 3) + (-4*z - 7 + 7)*(-2 - 1 + 4)). 1036*z Expand (g**5 + 4*g**5 - 4*g**5)*(4 - 2 + 1) + 7*g**5 + g**5 + 3*g**3 - 81*g**5. -70*g**5 + 3*g**3 Expand (-94 - 69 - 136)*(-50 + 8*g + 50). -2392*g Expand (-2*m + 7*m - 3*m)*(14*m + 13*m + 5*m)*(385 + 48*m**3 - 385). 3072*m**5 Expand (-c + 3*c + 0*c)*(2*c**3 - 3*c**3 - 2*c**3 + (c + 4*c - 3*c)*(-134*c + 134*c - 3*c**2) + 0*c**3 + 3*c**3 - 2*c**3) - 2*c + 9*c + c**4 - 2*c. -15*c**4 + 5*c Expand (-455*t**2 - 2*t + 989*t**2 - 447*t**2)*(0 + 5 - 2). 261*t**2 - 6*t Expand (82*v**2 - 138*v**2 + 96*v**2)*(0*v + 1 + v + 0). 40*v**3 + 40*v**2 Expand (3 + 2*m**2 - 3)*(2 - 2 + m + (0*m + 4*m - m)*(-1 - 4 + 3)) + 7*m**2 - 6*m**2 - m**3 - 10*m**3. -21*m**3 + m**2 Expand (-4 - 20*s**2 + 4)*((4*s**2 + 0*s**2 - 3*s**2)*(0 - 8 + 0) + (0 + 0 + 3*s)*(0 + 0 - 2*s))*(1 - 1 - 2*s). -560*s**5 Expand -5248*v + 5183*v**2 + 10501*v - 5253*v + 4*v**2 - 5*v**2 + 2*v**2 + (3*v + 4*v - 5*v)*(-3*v + 5*v + 0*v) - 2*v + v**2 + 2*v - v**2 + 2*v**2 + 0*v**2. 5190*v**2 Expand (-6*r**2 + 0*r**2 + 4*r**2)*(-105 - 5665*r**2 - 391 - 83 + 5663*r**2 - 9*r). 4*r**4 + 18*r**3 + 1158*r**2 Expand (4 - 4 - 2*f)*(-16058*f + 609 - 16114*f + 32171*f). 2*f**2 - 1218*f Expand (1 + 2 + 9)*(71*o**3 - 43*o**3 + 67*o**3)*(2*o - 2*o - o**2). -1140*o**5 Expand (3*r**3 + 41*r**3 + 35*r**3)*(-3*r - 3 - 7 + 13). -237*r**4 + 237*r**3 Expand -13*q**2 + 13*q**2 + 41*q**3 + (-15*q**2 - 10*q**2 - 11*q**2)*(q + 0*q - 3*q). 113*q**3 Expand 106*w**3 - 706*w**3 - 6491*w**5 + 6494*w**5 + w**4 + 0*w**5 - 2*w**5 + w**5 + (1 - 2 + 2)*(0*w**4 + 0*w**4 - w**5). w**5 + w**4 - 600*w**3 Expand (14*r - 17*r - 12*r)*(-17*r**2 + 3*r**2 + 6*r**2). 120*r**3 Expand (-1 - 5 + 1)*(-165*k**5 - 45*k**5 - 335*k**5). 2725*k**5 Expand (-245*n + 207*n + 138*n)*(-2*n**2 - 4*n**2 + 2*n**2)*(0*n - 2*n + 3*n). -400*n**4 Expand (2*c**3 + 2*c**3 + 0*c**3)*(c - c - 3*c)*(100*c + 84*c + 52*c). -2832*c**5 Expand (798*y + 104*y - 49*y + 643*y + 304*y)*(6*y + 7 - 7). 10800*y**2 Expand (10 - 10 - 11*x + (-3*x + 5*x - 3*x)*(0 - 5 + 0))*(-38 - 28 - 3). 414*x Expand 153 - 76 - 2*j**3 - 76 + j**5 - 3*j + 0*j**4 + 6*j**5 + 0*j**4 + (-2*j**3 + 2*j**3 - 2*j**3)*(-2*j**2 + 0*j + 0*j). 11*j**5 - 2*j**3 - 3*j + 1 Expand (-2 - 2*a**3 + 2)*(0*a + 5*a - 4*a) + (-a**3 + 5*a**3 - a**3)*(-11*a + 12*a + 14*a). 43*a**4 Expand (0*q**2 - 2*q**2 + 5*q**2)*(-48*q**2 + 292*q**2 + 370*q**2). 1842*q**4 Expand ((8*h**2 + 1347 - 1347)*(-5 + 5 - h + (-2 + 6 - 3)*(h - 2*h + 3*h)) + 22*h**2 - 12*h**3 - 22*h**2)*(0*h + 3*h - h). -8*h**4 Expand -131*d + 18*d**4 + 131*d + (0*d - d + 3*d)*(27*d**3 + 220*d**3 - 3*d**3). 506*d**4 Expand (0*f - 2*f**2 + 0*f)*(-14 - 6 - 3 - 2)*(4 + 309 + 88). 20050*f**2 Expand (1 - 3 + 16178*v - 16183*v)*(13 - 13 + 27*v). -135*v**2 - 54*v Expand (-228*h - 6381 + 6381)*(2*h**4 + 0*h**4 + 2*h**4 + h**2 - h**4 - h**2 + (0*h + 3*h - h)*(-h + h + h**3) + h**4 + h**4 + 0*h**4 + 3*h**4 - h**4 + 0*h**4). -2052*h**5 Expand 3 - 3*w - 3 + 2*w + 1 - 1 + (-4 + 1 + 2)*(-2*w + 0 + 0) + 4*w - 2*w - 3*w - 14*w + 51*w + 13*w + 4*w - w - 5*w + 2*w - 3 + 3. 50*w Expand (-o**3 - 1 + 1)*(-6*o**2 + 0*o + 0*o + (405963 - 405963 - 840*o)*(-3*o + 3*o - 2*o)). -1674*o**5 Expand (-635 + 332 + 302 + 509*d)*(3 - 3 + d**4). 509*d**5 - d**4 Expand (g + 5*g + g)*(12 - 12 + g**2) + 0*g**3 + 4*g**3 - 3*g**3 + (55*g + 53*g - 119*g)*(-g - 2*g**2 + g). 30*g**3 Expand 228594 + 3811*b**3 - 228594 + 3*b**3 + 3*b**3 - 5*b**3 + (2*b + 0 + 0)*(0*b**2 - 3*b**2 + 2*b**2) - 7*b**3 + 3*b**3 + 2*b**3 - 3*b**3 - 3*b**3 + 4*b**3. 3806*b**3 Expand (2*h**4 - 3*h**2 + 9*h**2 - 4*h**4)*(3*h - 1 + 1 + (7 + 2 - 7)*(4*h - 2*h - h))*(-4 - 1 + 3). 20*h**5 - 60*h**3 Expand (68*p - 134*p + 77*p)*(-146*p**3 + 13*p**3 - 142*p**3). -3025*p**4 Expand -181*s - 353 - 361 + 716 + (-5*s - 4*s + 19*s)*(-2 - 2 + 2). -201*s + 2 Expand (-1 - 3 + 12)*(-1 + 2*q**3 + 1)*(8 + 0 + 1). 144*q**3 Expand -2*b**2 + b**2 + 3*b**2 + (2*b + 0*b + 0*b)*(-5 + 2*b + 5) + 4*b**2 - 3*b**2 - 4*b**2 + 3*b**2 - 2*b**2 + 0*b**2 + 68624*b + 4*b**2 - 68624*b - 22. 8*b**2 - 22 Expand (1 - 2*w - 1)*(-2*w + 1 - 1 + 5*w - 2*w - 2*w + (-6*w + 2*w + 2*w)*(0 - 4 + 2) + 2*w + 2*w - 3*w + 10 + 20 + 3*w - 13 + 14 + 4*w - 14). -22*w**2 - 34*w Expand (0 + 3 - 4)*(2*l**3 + 4*l**3 - 4*l**3) + 8735*l - 30*l**3 - 8733*l - 99*l**3 - l**3 + l - l. -132*l**3 + 2*l Expand (-p + 1 - 1)*(70 + 1609 - 488 - p**2). p**3 - 1191*p Expand (3 - 1 - 4)*(229*q - 449*q + 226*q + 1271)*(2*q - 2*q + 2*q**2). -24*q**3 - 5084*q**2 Expand (-112*f - 40*f - 29*f)*(-11 + 5 - 7)*(-1 + 1 + f**3). 2353*f**4 Expand (-3600 - 4758 - 8174 + 919 - 303 - 5372)*(0*p + 0*p + 2*p**2). -42576*p**2 Expand (12 - 9 - 9)*(-13*x**4 - 31*x**4 - 122*x**4)*(4 - 2 + 1). 2988*x**4 Expand t**2 + 3*t**2 - 3*t**2 + (-2*t - t - 7*t)*(-t + 2*t + 0*t) + 278*t**2 + 1539 - 1539. 269*t**2 Expand (4*b - 52*b - 8*b)*(-3*b**4 - b**4 + 0*b**4) - 55*b**2 - 9*b**5 + 55*b**2. 215*b**5 Expand (36 + 54 - 523)*(-4*s**3 + 3*s**3 + 0*s**3). 433*s**3 Expand (2*h - 2*h + h)*(-1 - h**4 + 1) + (32 + 27 - 38)*(0*h**5 + 3*h**5 - 2*h**5). 20*h**5 Expand ((2*q - 1 + 1)*(-3*q - 3 + 3) - 4*q**2 + q**2 - 2*q**2 - 4*q**2 + 2*q**2 + 3*q**2)*(187 - 187 + 115*q + (4 - 1 - 4)*(1 - q - 1)). -1160*q**3 Expand (4 - 4 + 2*l**3)*(-3*l + 6*l - 2*l) - 3*l**4 - 3*l**2 + 3*l**2 - 25*l**4 + 28*l**4 - 18*l**4 - 2*l**3 - 2*l**4 + 2*l**3. -18*l**4 Expand (5 + 0 - 3)*(-t + t - 13*t**3) + 41*t**3 - 38*t**3 - 118*t**3. -141*t**3 Expand (o - 2*o**2 - o)*(-443*o**3 - 123*o**3 - 152*o**3) + 2*o**5 - o**5 - 3*o**5 + (o**3 + 11 - 11)*(o - 2*o**2 - o). 1432*o**5 Expand (-5 + 4 + 2)*(316 - 162 - 172 - 6*a)*(-20 + 0 + 122). -612*a - 1836 Expand 298*i - 30*i**3 - 298*i + (0*i**2 + 0*i**2 - 2*i**2)*(i - 2 + 2) - 30*i**3 - 368 + 368. -62*i**3 Expand (33 + 32 - 58)*(3*f - 3*f + 3*f**2 + (-4 - f + 4)*(0*f - 3*f + 4*f) + 321 - 14*f**2 - 321). -84*f**2 Expand (-4*y - 2*y - y + (1 + 4 - 4)*(y - 2*y + 0*y))*(62 + 100 - 57)*(-y + 4 - 4 + (0 - 4 + 3)*(-2*y + 4 - 4) + 3*y - y + 0*y + 0*y - 5*y + y). 840*y**2 Expand (-7 + 6 + 15)*(-x + 3*x + x)*(9 - 11 - 13)*(0*x + x + x). -1260*x**2 Expand 2*y**5 + y**5 - y**5 + (18*y**3 - 112*y**2 + 112*y**2)*(-1021 - 111*y**2 + 1021) - 2*y**5 + 5*y**5 - 5*y**5. -1998*y**5 Expand (-36*l + 12*l + 539 - 545)*(4*l - 5*l - 3*l). 96*l**2 + 24*l Expand (-9*k - 3*k + 3*k)*(k**2 - 3 + 3)*(32*k - 32*k + 21*k**2). -189*k**5 Expand (4 - 2*c - 4)*(20 - 217 - 939 - 3 + 1 + 1 - 3 + 6 - 1 + 3 - 6 + 1 + (-4 + 2 + 3)*(0 - 4 + 3) + 1 - 3 + 1 + 1 - 3 + 3). 2276*c Expand (-3*d**2 + 45245*d - 45245*d - 3*d**3 - 27)*(-2*d - 4*d + 3*d). 9*d**4 + 9*d**3 + 81*d Expand -4035 + 4035 + 15*l**4 + l**2 + 2*l**4 + 2*l**4 - 3*l**4 + (-48*l + 48*l + l**2)*(-2 - 2*l**2 + 2). 14*l**4 + l**2 Expand (-5*w**3 - 2*w**3 - 4*w**3)*((3*w**2 - 3*w**2 - w**2)*(0 - 1 - 2) - 257*w + 231*w**2 + 257*w). -2574*w**5 Expand (2*h + 0*h + 4*h)*(-226*h + 105*h + 120*h - 30*h**2). -180*h**3 - 6*h**2 Expand 2*x + 2*x - 5*x + 12*x + 16*x + 7*x + (2*x - 2*x - x)*(0 + 1 - 2) + x + x - 6*x. 31*x Expand ((0 - 5 + 0)*(3 - 3 + w) + 3*w - 4*w + 5*w + (-5 + 5 + 5)*(-w - 2 + 2))*(-3*w + 2*w + 0*w)*((2 + 3 - 3)*(1 - 3 + 0) + 1 - 1 - 2). -36*w**2 Expand (-3*r + r + 4*r)*(230*r**2 - 1440*r**2 + 3531*r**2)*((-2*r + 0*r + 0*r)*(5*r - 6*r + 3*r) + 3*r**2 - r**2 + 0*r**2). -9284*r**5 Expand (3 - 3 + 2*q**2)*(-42*q**3 + 6108*q**2 - 12210*q**2 + 6050*q**2). -84*q**5 - 104*q**4 Expand (19*z - 43*z + 14*z)*(-1 - 4 + 0)*((1 + 0 - 2)*(-6 + 2 + 2) - 1 + 1 - 1)*(-2*z + z + 3*z). 100*z**2 Expand -2*u**3 + 0*u**2 + 0*u**2 - 2*u**3 - 1 + 1 + (5*u**2 - 4*u**2 + 0*u**2)*(5 - 2*u - 5) - 1080*u**3 - 2177 + 2177. -1086*u**3 Expand (-2*a**2 + 4*a - 2*a - 12*a**2)*(1 - 2 + 3)*(-971 + 493 + 215). 7364*a**2 - 1052*a Expand (6*h**2 + 7*h**2 - 5*h**2)*(5 - 5 + 1)*(0*h**2 + h**2 + 0*h**2)*((-4 + 0 + 3)*(-3 - 2 + 4) + 5 + 6 - 6). 48*h**4 Expand (372*m**3 + 92137 - 92137)*(-12 + 1 + 7). -1488*m**3 Expand (-x - 2 + 2)*(-2 + 0 + 1) + 0*x + 0*x + 2*x + x + 85 - 47 - 47. 4*x - 9 Expand (3 - 2*m**2 - 3)*(-12*m + 29*m - 15*m)*(137 - 86 - 88). 148*m**3 Expand (12*d**2 - 19*d**2 - 29*d**2)*(-12 + 6 + 3) - 6*d**2 + 2*d**2 + 0*d**2. 104*d**2 Expand (-3 - 1 + 6 + (3 - 1 - 1)*(-4 + 2 + 1) + 7 - 3 - 2)*(-3 - 3*n + 3) + n + 3 - 3 + (5 - 5 + 1)*(4*n - 4*n + n) + 26*n + 26*n - 37*n. 8*n Ex
{ "pile_set_name": "DM Mathematics" }
*3. What is the greatest common factor of f and 231? 21 Let r = -5 - -1. Let h be r*(63/(-12) + 1). Let l = -11 + h. What is the greatest common divisor of 54 and l? 6 Suppose -3*a = -76 - 323. Let x = -45 + a. Let r(q) = -4*q. Let b be r(-2). What is the highest common divisor of x and b? 8 Let x = 39 + -26. Suppose 156 + 39 = 5*n. What is the highest common divisor of n and x? 13 Let y(a) = a**2 + 5*a - 4. Let f be y(-9). Calculate the highest common factor of 352 and f. 32 Let c(h) = h**2 + h - 1. Let s be c(-3). Suppose y = -3*y - 3*b + 5, 2*y = -s*b + 13. Let t be (y + 8)/1 + 0. What is the greatest common divisor of 63 and t? 7 Let r(f) = f**2 + f + 4. Let o be r(0). Let p = -12 - -8. Let h be p/(-10) - (-2492)/70. Calculate the highest common factor of h and o. 4 Let y = 15 + 1. Let l be (0 - 1)/(2/(-60)). Suppose -2*c + 24 = 3*a - 4, l = 3*a + 3*c. What is the greatest common divisor of y and a? 8 Let y = 82 - 77. Calculate the greatest common divisor of y and 45. 5 Suppose -3*b + 25 + 83 = 0. Calculate the greatest common divisor of 12 and b. 12 Let n be ((-114)/8)/(78/96 - 1). What is the greatest common factor of 190 and n? 38 Suppose -3*o - 4 = -5*n + 1, 5*n - 4*o = 0. Suppose -i - b = 2*b, n*b = -2*i. Let j(k) = k + 70. Let p be j(i). What is the highest common factor of 10 and p? 10 Suppose -3*b = -h + 3*h - 75, b + 5*h = 38. What is the highest common factor of b and 184? 23 Let w be ((-32)/(-10))/((-6)/(-15)). Let y = w - 1. Calculate the greatest common divisor of y and 70. 7 Suppose 3*j - 5*v = -2*j - 10, 4*v - 13 = -j. Let t be j*16 - (0 - -3). What is the greatest common divisor of t and 91? 13 Let n be (2 - -2)*161/4. Calculate the highest common divisor of 23 and n. 23 Suppose -9*w + 13 = -5. Calculate the greatest common factor of w and 2. 2 Let d(v) = v + 8. Suppose 6*k = 4*k - 6. Let a be d(k). What is the greatest common factor of 55 and a? 5 Suppose 4*o = 29 + 47. Calculate the highest common divisor of 152 and o. 19 Suppose -4*a + 97 = 1. What is the greatest common divisor of a and 6? 6 Let a = -4 + 7. Suppose 0*q - 30 = -a*q - 3*p, 0 = q + 2*p - 5. Calculate the highest common divisor of q and 165. 15 Let r = 131 + -123. What is the highest common divisor of r and 56? 8 Let j(y) = y**2 - 5*y - 10. Let a be j(9). Calculate the greatest common divisor of 78 and a. 26 Let j be 60*(-1 - (-10)/5). What is the highest common divisor of 12 and j? 12 Let b = -1 + 51. Let m be (8/12)/((33/(-90))/(-11)). Calculate the greatest common divisor of m and b. 10 Let a = 14 - 10. Let p be (-2)/(a/(-72)*1). Let l = 24 - 12. What is the greatest common divisor of l and p? 12 Let w be -6*5*(-1)/6. What is the highest common divisor of w and 1? 1 Suppose 2*g - 3*r = 55, -3*r - 6 = -r. Suppose -2*y = -4*f - 41 - g, 0 = -4*y - 4*f + 176. Calculate the greatest common divisor of y and 16. 8 Let f = -24 + 101. Calculate the greatest common divisor of f and 7. 7 Let w be (1 - (-20 - 0))*-1. Let u = w - -86. Let r be (-74)/(-6) + 4/6. What is the highest common factor of r and u? 13 Suppose g - 5*w + 18 = 0, -w + 40 = 3*g + 2*g. Let q be (-2)/4 + (-678)/(-12). Calculate the highest common divisor of g and q. 7 Suppose -w = -3*a + 60, 5*a - 3*w - 2*w = 100. Let i be (a/30)/(4/234). Calculate the greatest common factor of 13 and i. 13 Let f = 14 + 6. Let i = 232 - 72. Calculate the highest common divisor of i and f. 20 Suppose -5*g + 286 = -194. What is the greatest common divisor of g and 12? 12 Suppose 2*b = 10, -307 = 3*q - q + 3*b. Let v = q + 241. Let w(y) = y**3 - y**2 + 10. Let k be w(0). What is the highest common factor of v and k? 10 Let o be (-4)/((-8)/13)*2. Suppose -60 = -z - 2*x - o, -2*x - 8 = 0. Let u = -38 + z. Calculate the greatest common divisor of 51 and u. 17 Let l be (-1)/(-1) - 36/(-3). What is the highest common factor of 104 and l? 13 Let m = -1 + 13. What is the highest common factor of m and 108? 12 Let l(a) = a**2 + a + 4. Let w be l(3). Let b(o) = -o**2 + 19*o + 32. Let z be b(19). What is the highest common factor of w and z? 16 Let n(i) = -i**2 - 4*i - 4. Let z(m) = -5*m**2 - 25*m - 25. Let k(s) = -25*n(s) + 4*z(s). Let f be k(1). Calculate the greatest common factor of f and 5. 5 Suppose -18*i + 20*i - 192 = 0. Calculate the highest common divisor of i and 32. 32 Let w be 12/6*(0 + 26). Let u be 3/6 + (-153)/(-6). What is the greatest common divisor of w and u? 26 Let o(d) = d**2 + 7*d + 2. Let h be o(-8). Suppose -4*t - z + 348 = 2*z, t - 2*z = 98. Calculate the highest common divisor of t and h. 10 Suppose 5*l - 28 = -2*l. Calculate the greatest common factor of l and 2. 2 Let g(v) = 28*v. Let y be g(1). Let o = -14 + y. What is the greatest common divisor of o and 14? 14 Suppose 0 = -z - z - 10. Let q be z/(-3) + (-1)/(-3). Let k be 5/((-7)/(56/(-20))). What is the highest common divisor of k and q? 2 Let y = 75 - 38. What is the greatest common divisor of 37 and y? 37 Let r = -146 - -160. Calculate the highest common factor of 14 and r. 14 Let h be (-1)/(-3) - 104/(-12). Let r = h - -1. Let j be 2/((-2)/7)*-10. Calculate the highest common factor of j and r. 10 Let c(w) = -w**3 + 4*w**2 + 3. Let v be c(4). Let g be v/((-6)/(-20)) + -1. Suppose 3*l - 82 + 28 = 0. What is the highest common divisor of l and g? 9 Suppose -2*j = 3*l + 9, -2*j - 5*l - 37 = -6*j. Suppose 25 - 4 = j*r. Calculate the greatest common factor of 70 and r. 7 Suppose -4*k + 2*t + 136 = 0, -92 = 2*k - 5*k - t. Let x = 14 - k. Let n = x + 29. Calculate the highest common factor of 33 and n. 11 Let k = 41 + -21. Suppose -g = o - 2, -o + 6*o = -2*g + 16. Calculate the greatest common divisor of o and k. 4 Let u(i) = -14*i + 6 + 13*i + 6*i**2 - 5*i**2. Let o be u(13). What is the greatest common divisor of o and 18? 18 Suppose 3*p + 84 = u - 0*u, -3*u = -3*p - 276. Calculate the highest common factor of 32 and u. 32 Suppose 2*d + 60 = 5*d. Calculate the highest common divisor of d and 30. 10 Suppose -5*z - j + 20 = 0, 2*j = -j. Suppose t = -3 + z. Calculate the greatest common divisor of 9 and t. 1 Let n(w) = 4*w**3 + 3 - 2 - 2*w**2 - w**2. Suppose -8 = -5*s + d, -14 = -2*s - 0*d - 5*d. Let l be n(s). What is the greatest common divisor of 7 and l? 7 Let p(r) = -r**3 - 7*r**2 + 7*r - 9. Let t be p(-8). Let q be 3/(t/18*-3). What is the highest common factor of 12 and q? 6 Let d(o) = 3*o**2 + 4*o - 4. Let m be d(4). What is the highest common factor of m and 40? 20 Suppose 4*y - 2*d - 372 = 3*d, 3*y - 2*d - 279 = 0. What is the highest common factor of 31 and y? 31 Suppose -35 + 133 = -2*s. Let t = -13 - s. Let n be 0 + (11 - -1 - 0). Calculate the greatest common divisor of t and n. 12 Suppose 5*q - 115 = 40. Suppose -2*r = 5*c - q, -c = -0*c - 5. Calculate the greatest common factor of 21 and r. 3 Let f(s) = -4*s + 12. Let d be f(-6). Calculate the highest common divisor of 9 and d. 9 Let x = 52 + -16. Let g = 58 - x. What is the greatest common factor of g and 55? 11 Let o be 3 - (4 + (-4 - 4)). Let v(l) = -l**3 - 5*l**2 - 7*l. Let s be v(-5). Calculate the greatest common factor of o and s. 7 Suppose -r - 5*o = 4 + 2, 0 = -4*r + 4*o + 24. Let g be 251/r + 3/12. What is the highest common factor of 7 and g? 7 Let g(m) = 23*m**3 + m**2 + m + 1. Let i be g(2). Suppose 0 = -3*d + 34 + i. Calculate the highest common divisor of d and 30. 15 Let k = 0 - -3. Let w = 14 + -20. Let z be k/w*6 + 52. Calculate the highest common factor of 7 and z. 7 Let w be (34 + 2)*(-1)/(-2). Calculate the highest common factor of w and 6. 6 Let n be (-1 - 5)/(-2) + -1. Suppose -2*w = -3*f + 13, 10 = 2*f - n*w - 0*w. Calculate the highest common factor of 24 and f. 3 Suppose 0 = -b - 3*b + 104. What is the greatest common divisor of b and 13? 13 Let z = 8 - 7. Let y(w) = 15*w. Let k be y(z). Calculate the highest common divisor of k and 135. 15 Let q = -4 - -4. Suppose 2*i = g + i - 7, g + 3 = -4*i. Suppose -v + g = -q. Calculate the highest common divisor of 45 and v. 5 Suppose m - 14 = -4*x - 0*m, 3*m = 2*x. Calculate the greatest common factor of 18 and x. 3 Let v = -21 - -13. Let j = v - 77. Let r = 165 + j. Calculate the highest common divisor of 10 and r. 10 Let i be 16 + -2 + 3 + -1. Let s = -79 - -143. Suppose -3*k - 2*z = -s, 14 = -2*k - 2*z + 54. C
{ "pile_set_name": "DM Mathematics" }
*s + i = -40. Solve 2*j - 5*q = -0*q + 23, -j - s = k*q for j. -1 Let b = 46 - 16. Solve -3*z + 0*z + 4*m + 5 = 0, 2*m + b = -4*z for z. -5 Suppose -3*v = -4*v + 9. Let y be 3 + v/(2 - -1). Solve -3*n - 5*k = 14, 4*n - 2*k + y = -4 for n. -3 Let o be (490/35)/(1 - -1). Solve 4*j = -o*y + 5*y, 4*j = 0 for y. 0 Let o = 19 + -27. Let q = -5 - o. Solve y - 3 = 0, f + 9 = -q*f - y for f. -3 Suppose -5 = 2*a - 5*z, 0*a - 3 = 4*a - 3*z. Solve 4*j + 1 = j - p, a = 5*j + 5*p + 5 for j. 0 Suppose -28*k + 32*k - 20 = 0. Solve 9*j - 4*j + 5 = -5*b, 0 = -k*j + 4*b + 40 for j. 4 Let s be (-4)/10 + (-12)/(-5). Solve -3*u + 13 = -4*n, n + 3 - s = 3*u for u. -1 Let r = -3 - -5. Let j = -105 + 39. Let a be (-2)/(-11) + (-186)/j. Solve -k + 10 = -r*u - 4*k, -a*u + 19 = -4*k for u. 1 Let q = 32 + -32. Suppose -3*o + 35 = 2*i, 2*i + o = -i + 70. Let n = i + -7. Solve -2*s - 3*s + 4*z + n = 0, -2*s + 5*z + 14 = q for s. 2 Suppose 3*m - 6*m = 33. Let p be (0 - -1 - m) + -2. Let i = 14 - p. Solve 4*o - o + q - 1 = 0, 5*q + 6 = -i*o for o. 1 Suppose 4*r + 5*i + 30 = 0, r - 4*i - 2 = 1. Let w be 4/(2/r*-1). Solve -w = -5*c - 0*j - 2*j, 0 = -2*j - 10 for c. 4 Let v(j) = 6*j + 2. Let f be v(4). Solve k - 10 = 5*l - 2*l, 5*l + 3*k = -f for l. -4 Suppose -18 = -2*a - 2*p, -2*a + 0*p + p + 3 = 0. Solve 3*s - 27 = -5*d, 2*d + 4*s - 10 = a*d for d. 3 Suppose 0 = -n - 4*k + 14, -10 = n - 4*k - 0. Let b be -2 - -2 - n*-9. Suppose -m = m - b. Solve 5*r + 2*a = -5, r + m = 3*r + 3*a for r. -3 Let g = 29 - 7. Suppose i - 4*s + 6 = -4, 50 = 3*i + 4*s. Let t = 9 + -6. Solve 5*z - g = 4*r - r, -i = t*r + z for r. -4 Let k(q) = q**3 + q**2 - q + 10. Let n be k(0). Let u = 219 + -219. Solve 3*r = -u*d + 2*d + 2, 5*r = 2*d + n for d. 5 Suppose -2*l = 2*l. Let n be 6*4/12 - l. Solve -n*z + 0 = -5*j - 20, -12 = 3*j + 2*z for j. -4 Let f be (1/(-3))/(5/(-15)). Suppose 3 = o - f. Solve -g = -3*n - 6*g - 25, -o*g = -4*n - 12 for n. -5 Suppose -4*s - a + 14 = 0, 5*s - a - 2 = 11. Let d = s - 1. Solve -d*b = -5*b - 3*y + 24, 2*y + 8 = 4*b for b. 4 Let i = -12 + 12. Solve -3*d + 2*f = -7, -f - 3 + 4 = i for d. 3 Let c be (2 + 48/(-28))*7. Solve 4*m + 10 = -2*p, -c*p + 0*m = -m + 5 for p. -3 Let d(m) = m**2 - 4 - 3*m + 2 + 6. Let p be d(3). Suppose -p = -x - 1. Solve x*n + n + 3*b = 13, 11 = 3*n + b for n. 4 Suppose -2*b = 3*b - 25. Suppose -3*t + 28 = b*l, -5*t - 4*l = -0*t - 25. Solve 2*r + 17 = -5*x, 0*r - 2*r + t = -x for r. -1 Let g = -30 - -32. Solve 2*a - 5*d + 18 = 0, 3*a = g*d - 6*d + 19 for a. 1 Let w = 3 - 1. Let p be (-46)/(-11) + 4/(-22). Let s be 1 - p*4/(-8). Solve -5*y = -w*t + 25, -3*y + s*t - 2*t = 14 for y. -3 Let t = 12 + -23. Let f(o) = -o - 8. Let h be f(t). Solve -5 = g, -24 - 1 = -2*c + h*g for c. 5 Let a(s) = s**2 - s - 10. Let q be a(-3). Solve 2 = -q*r + 4*y - 0, 2*r - 22 = -4*y for r. 5 Let d(z) = 5*z**2 - z + 1. Let b be d(1). Suppose 4*w - 5*w + 27 = b*m, -m = -3*w + 1. Solve 0*q = m*q + v + 15, -4*q - v = 12 for q. -3 Let k = -28 + 38. Solve -3*h + k = -h, 0 = -2*r + 3*h - 5 for r. 5 Let a be (-5)/3 - 4/(-6). Let f be (-1)/(2/10*a). Solve m + 11 + 2 = -f*n, 2*m + 12 = -3*n for n. -2 Suppose -2*n + 4*u + 18 = 0, 3*u = -2*n - u + 2. Let v be ((-12)/(-2))/(3/2). Solve -2*t = 2*a - v, -a - 2*t + 2 = -n for a. -3 Let c be (-68)/(-18) - 6/(-27). Suppose -c = 3*i - 10. Solve -2*t = 3*t, -i*y - 2*t = 4 for y. -2 Let p be (-2 + (-10)/(-6))*9. Let o be 8 + p/6*0. Suppose 0 = -2*a - 2 + o. Solve 4 = 3*d + 5*u - 0*u, -8 = d - a*u for d. -2 Suppose -22 = -2*x + 4. Suppose -5 = -w, -4*w + 32 = 3*u - 0*w. Let a be -4*(-2)/u - -3. Solve -x = 2*o - 3, -a*r = 4*o + 40 for r. -4 Suppose s - g = g + 9, 2*s - 8 = -g. Suppose k = 4*k. Solve 0 = -d - 5*o, 3*d + k*o - s*o + 20 = 0 for d. -5 Let n be (-1)/(-2) - 27/(-6). Suppose k + 10 = n*h, 5*k - 45 = k + 3*h. Solve 2*y - 3*x - x - 6 = 0, y - 5*x = k for y. -5 Suppose 3*z = -5*g + 35, -g - 19 = -z + 6. Solve -y = -4*b - 2*y, 0 = -5*y + z for b. -1 Suppose -5*v = 4*s + 8, -5*s = -5*v - 0*v - 35. Solve 2*o + 14 = -4*y, 2*y - 15 + 2 = s*o for y. -1 Let q(d) be the second derivative of -d**4/12 + d. Let p be q(0). Let h = 10 - 8. Solve s = -5*b - p*b + 10, -h*b + 4 = 4*s for b. 2 Suppose 4*l + l = -10. Let v = 1 - l. Solve t = -v*s + 13, 0*s + 3*s + 5*t = 5 for s. 5 Let l = -13 - -22. Let y = 9 - l. Solve y = -3*v + v - 5*h + 25, 3*h = -2*v + 15 for v. 0 Let l(s) be the second derivative of -s**5/20 + 3*s**4/4 - s**3 - 11*s**2/2 - 7*s. Let i be l(8). Solve -i*m + 27 = -5*p + 3*p, -5*p - 10 = -m for m. 5 Suppose q - 2 = 5*m - 17, 0 = -3*q + 5*m - 5. Solve 3*d + 4*l + q = 0, -3*d - 7*l - 3 = -4*l for d. 1 Suppose 4*p + m = 31 + 5, 4*p = m + 28. Suppose -5*s - p = -4*o - 2, -3*o - 4*s + 20 = 0. Solve -15 = b - o*r, 4*b - r = -0*r for b. 1 Let v be (5 + -7 - (-4 - 4)) + 2. Solve -v = -2*h + 5*j, 0 = 2*j + 3*j for h. 4 Let o(k) = -3*k + 45. Let v be o(14). Solve 12 = 4*f - 5*g + 2*g, -16 = v*f + 4*g for f. 0 Let f be (-1)/(-5) + (-38)/(-10). Suppose -10*p + 92 = -6*p. Solve p = -3*d - f*y, -d - y - 9 = -2 for d. -5 Let w(l) = 16 + 9*l + 5*l - 23*l + 10*l. Let b be w(-11). Solve 0 = b*c - 5*y + 10, -6*c + 3*c - 6 = 2*y for c. -2 Let x(g) = -g**3 - 4*g**2 - 3*g - 6. Let w be x(-4). Let a be ((-4)/(-6))/(16/168). Let r(c) = c + 3. Let j be r(a). Solve -2*q + j = 4*t - w*t, 0 = 2*q for t. -5 Let s = -20 + 9. Suppose -2*k - 10 - 20 = 0. Let u = s - k. Solve -6 = -5*d + 2*f + 2*f, 3*f = 4*d - u for d. -2 Let n be 2*2*(-1)/(-2). Suppose 13 = -n*b + 5*s, -b - 1 = -2*s + 4. Solve -3*q - 6 - b = -y, -y = 2*q + 8 for y. -2 Let z be 0 - 1/(-1) - -25. Let g = 1 + 1. Let x(l) = 3*l**2 + 5*l + 2. Let o be x(-2). Solve -2*r - z = o*w, -g*r - 3*w - 30 = -9 for r. -3 Let p = 2 + 0. Solve -4*k + 4*s = -16, -2*k + 4*s = -4*k + p for k. 3 Let f(u) = -7*u**2 + 1. Let s be f(-2). Let z = s - -54. Solve -2*a = l - 10, 3*l - z + 5 = -4*a for a. 4 Let y = 9 + -4. Suppose 0 = 2*q + x - 2, -5*q + 2*x = y*x - 4. Solve 4*z + 10 = -4*f - q, 0 = f + 2*z + 8 for f. 2 Suppose -5*u + 6*u - 3 = 0. Suppose 5*x + 29 = 3*y, 3*x - 13 = u*y - 34. Solve 5*p + y = -d, 6*p - 5*d = p + 15 for p. 0 Let a be ((-2)/(-6))/((-5)/(-30)). Let z = 0 + 0. Solve o = 2*w + 2, -a*o + z*o + 5*w = -5 for o. 0 Suppose -t + 29 = -5*o, 0 = 5*t + 3*o - o - 10. Solve -t*v + 5*v + 5 = 0, 0 = -4*u - v - 1 for u. 1 Let q = 18 - 0. Let i = q + -15. Solve -2 + 1 = 3*t - 2*s, 0 = -i*t - 3*s + 24 for t. 3 Let a = -2 - -16. Let x be ((-2 - -3) + -2)*-5. Let c(k) = 39*k**3 - k**2 + 2*k - 1. Let y be c(1). Solve 0 = q, -x*q = -5*i - a + y for i. 5 Let z(q) = -q**3 + 6*q**2 - 1. Let b be z(6). Let d be (b - 8)*2/(-6). Solve -3*f + 4*i = -3 - 9, f + i + d = 0 for f. 0 Let h be ((-55)/15 + 5)/((-1)/(-3)). Solve 4*w + 5*d = 16, -w + 0*w - d = -h for w. 4 Let i(u) = u**2 + 16*u - 14. Let d be i(-17). Solve -d*g + v + 3 = 0, -v + 4*v - 5 = -5*g for g. 1 Let y be 2/14 + (-18)/126. Solve 2*j + 3 = -3*q + 5*j, 2*j + 4 = y for q. -3 Suppose -2*n = 2*n - 28. Let q = n + -5. Let x be 6/4 - 1/(-2). Solve -g + z = -x, 4*z + z - 18 = -q*g for g. 4 Suppose 4*w + 3*q + 1 = -9, 3*w - 4*q - 5 = 0. Let j be (w - -2)*0/1. Solve j = 2*z + 8, -22 = -4*r + 2*z - 2 for r. 3 Let i be ((-4)/6)/((-8)/48). Suppose i = -3*l + 7. Solve 3*c - 2 - 4 = 0, -3*x - 4*c = l for x. -3 Let r(q) = q + 1. Let z be r(-3). Let k be z + -1 + 5 - -8. Let y(s) = -s**3 + 6*s**2 - 4*s - 2. Let n be y(5). Solve 0 = n*a + 15, 4*d + k = 4*a - 2*a for d. -5 Let t be (1 + 0/(-4))*6. Solve -3*c = -4*w - 5, -c - 3*w = -t*c + 1 for c. -1 Suppose -5*f + 21 + 4 = 0. Suppose 4*p = -5*r + 12, -r + 3*r = 2*p - 6. Solve -5*v = 2*u - f, p*u + 2 = 2*v + u for v. 1 Let q = -26 + 30. Solve 4*i = i - p - 7, -4*p - q = 0 for i. -2 Let u(q) = -q**2 - 11*q - 6. Let g be u(-10). Solve -g*n + 5 = -j - 3*n, -n - 3 = 3*j for j. -2 Suppose -2*n + 1 = -3. Solve -27 = 5*o - 5*r - 7, n = 4*o + 2*r for o. -1 Suppose 6*b - b - 20 = 0. Suppose r - b = -r. Solve r*s - 8 = -4*m, 2*s + 13 + 0 = 3*m for m. 3 Suppose -2 = 2*w, -z + 4 - 2 = 2*w. Solve 2*h - 5*j = -j - 14, h + 1 = -z*j for h. -5 Let k = 6 - 4. Suppose 0 = 3*x + k*w - 21, -5*x - w + 37 = 3*w. Solve 5*s + x*l + 40 = 0, -5*s + 1 - 9 = -3*l for s. -4 Suppose -1 = -5*y + 24. Solve -2*o = 4*j - 3*o - 6, -3*o = -y*j + 4 for j. 2 Let k(t) = -
{ "pile_set_name": "DM Mathematics" }
*g + 50. Let t(h) = -10*h - 24. Let w(f) = 6*f + 15. Let b(u) = 5*t(u) + 8*w(u). Give b(q(d)). -16*d - 100 Let t(d) = 14925*d - d**2 + 3*d**2 - 14925*d. Let y(q) be the first derivative of -q**3 - q**2 + 1. Calculate t(y(r)). 18*r**4 + 24*r**3 + 8*r**2 Let f(z) be the third derivative of 0 + 8*z**2 - 1/12*z**4 + 0*z**3 + 0*z. Let c(v) = v + 1. Let r(b) = 21*b + 15. Let k(t) = -15*c(t) + r(t). What is f(k(w))? -12*w Let j(z) = 2*z - 8. Suppose 5*q = 2*p + 23, 5*q + 2 - 23 = 4*p. Let k be j(q). Let y(m) = -2*m - 31*m**2 + 37*m**k + 2*m. Let a(d) = 2*d**2. Determine a(y(n)). 72*n**4 Let w(d) = -d. Let p(r) be the first derivative of -r**4/3 - 8*r - 10. Let n(h) be the first derivative of p(h). Give w(n(i)). 4*i**2 Let s(y) = -6*y**2. Let k be (9/3)/(-1)*-1. Suppose c - k*c + 4 = 0. Let w(f) = -11*f + f**c + 11*f. What is w(s(n))? 36*n**4 Let t(m) = -15*m**2. Let s(v) = -v - 88 + 44 + 44. Give s(t(o)). 15*o**2 Let n(y) = 16*y**2 + 13*y. Let r(b) = -127*b**2. Determine n(r(z)). 258064*z**4 - 1651*z**2 Let n(m) = 300*m - 4. Let b(x) = 17*x**2. What is b(n(f))? 1530000*f**2 - 40800*f + 272 Let h(k) = 74*k**2 + 2. Let i(d) = 2*d - 40. Let s(g) = -4. Let b(r) = i(r) - 10*s(r). Determine b(h(a)). 148*a**2 + 4 Let x(f) = 3*f**2. Let i(v) = -2*v**2 + 11*v + 11. Suppose 7*w - 16 = 11*w. Let y(z) = z + 1. Let h(b) = w*i(b) + 44*y(b). Determine x(h(u)). 192*u**4 Let a(k) = -k**3 - 28*k**2 - 27*k. Let s be a(-27). Let t(b) be the second derivative of s*b**2 + 0 + 4*b - 1/6*b**3. Let n(g) = 2*g. Determine n(t(r)). -2*r Let z(j) = -154*j**2 + 2*j. Let v(b) = -7336*b. Calculate v(z(h)). 1129744*h**2 - 14672*h Let o(t) = 5 - 7 + 2 + t. Let i(p) = -2*p. What is o(i(c))? -2*c Let r(p) = 371597*p**2. Let u(l) = -3*l. Determine r(u(z)). 3344373*z**2 Let r(x) = -3*x**2 - 2*x - 3. Let c(q) = 9*q**2 + 4*q + 6. Let p(j) = -c(j) - 2*r(j). Let k(a) = -10*a**2 - 4*a**2 - 7*a**2. Determine k(p(y)). -189*y**4 Let m(p) = p**2 - 1. Let q(g) = -21*g**3 - 6*g**2 - 10. Let w(h) = -6*m(h) - q(h). Let j(z) be the first derivative of w(z). Let s(u) = -2*u. Determine j(s(y)). 252*y**2 Let a(v) = -3*v**2 + 14*v**2 + 21*v**2. Let l(f) = -f**2. Give a(l(c)). 32*c**4 Let l(h) = -h. Let g(t) be the first derivative of -t**5/6 + t**2/2 - 11. Let j(o) be the second derivative of g(o). What is j(l(k))? -10*k**2 Let t(z) = -17*z**2 + 10*z. Let j(w) = -35*w**2 + 16*w - 16. Let p(b) = -22*b**2 + 10*b - 10. Let d(h) = 5*j(h) - 8*p(h). Calculate d(t(i)). 289*i**4 - 340*i**3 + 100*i**2 Let h(u) = 3 - 292*u**2 - 3 + 291*u**2. Suppose 3*w - 5 = 1. Let b(x) = w*x - 3*x + 2*x. Give h(b(k)). -k**2 Let k(t) = 483*t. Let c(d) = 1370*d**2. Give k(c(h)). 661710*h**2 Let v = 541 - 542. Suppose -n + 11 = -u, -2*n + 1 = -1. Let a(t) = -t - 1. Let z(l) = 6*l + 10. Let h(w) = u*a(w) + v*z(w). Let m(j) = j**2. Determine m(h(p)). 16*p**2 Let g be 18 + -12 - (0 + 1). Let s = -3 + g. Let j(z) = s - 2 - 5*z. Let k(u) = 2*u**2. Give j(k(p)). -10*p**2 Let z(q) = 1242*q**2. Let b(t) = -62*t**2. Give b(z(d)). -95638968*d**4 Let h(r) = 9*r**2 - 2*r. Let v(g) = 4*g**2 - g. Let o(c) = h(c) - 2*v(c). Let k(q) = -q - 48. What is k(o(n))? -n**2 - 48 Let d(g) = g**2. Let a(u) = -2*u**2 - 8*u - 3636. Give a(d(k)). -2*k**4 - 8*k**2 - 3636 Let q(m) = 23*m - 10. Let l(p) = 641*p**2. Calculate q(l(s)). 14743*s**2 - 10 Let v = -2 + 6. Let n(a) = 11 - v - 84*a - 7. Let u(w) = w. What is u(n(i))? -84*i Let k(x) = 4*x**2 + x**2 - 6*x**2. Suppose -5*q = -0*q. Let r(c) = q*c - 4*c + 2*c - 2*c. What is r(k(u))? 4*u**2 Let s(q) = -2*q**2. Suppose -2*i - 3*l + 20 = 0, 2*l + 12 = i + 4*l. Let k(j) be the first derivative of 0 - 4 + i*j**2 - 4. What is s(k(p))? -128*p**2 Let m(i) be the third derivative of i**5/4 - 730*i**2. Let t(d) = 4*d + 3. Let b(v) = -5*v - 4. Let y(u) = -3*b(u) - 4*t(u). Determine m(y(f)). 15*f**2 Let z(l) = -l**2. Let x(m) be the second derivative of -1/2*m**3 - m + 0 + 0*m**2. Give x(z(t)). 3*t**2 Let z(k) = -2*k. Let x(g) = 16297*g + 8*g**2 - 16297*g + 4*g**2. Determine z(x(c)). -24*c**2 Let a(g) = 1. Let w(z) = z - 5. Suppose 3*h = -u + 6*h - 20, -3*h - 60 = 3*u. Let v(m) = u*a(m) - 4*w(m). Let x(c) = 20*c**2. What is v(x(k))? -80*k**2 Let b(q) be the third derivative of -q**4/12 + 176*q**2. Let d(j) be the second derivative of j**3/2 - j. Determine b(d(m)). -6*m Let k(n) = -n. Let f be 7/(140/36) + 2/10. Let t(w) = 11*w. Let h(d) = 5*d. Let p(r) = f*t(r) - 5*h(r). Determine k(p(a)). 3*a Let c(l) = 5*l**2 - 9*l. Let y(h) = -2*h**2 + 4*h. Let w(o) = 4*c(o) + 9*y(o). Let r(q) be the first derivative of q**3/3 + 1949. Calculate r(w(t)). 4*t**4 Let f(r) be the second derivative of -13*r + 0*r**2 - 2 + 0*r**3 + 5/6*r**4. Let s(w) be the third derivative of w**5/30 - w**2. Give f(s(c)). 40*c**4 Suppose 0 = -4*d - 3*z - 1, -6 = 3*d - 0*z + 4*z. Let r(f) = -14*f + 25*f - 11*f - 6*f**d. Let a(x) = x. What is a(r(j))? -6*j**2 Let q(s) = -18*s**2. Let z(j) = -286*j**2 - 33. Let p(g) = 44*g**2 + 5. Let h(r) = -33*p(r) - 5*z(r). What is h(q(t))? -7128*t**4 Let v(o) = -o - 5. Let z(c) = c + 4. Let t(h) = -4*v(h) - 5*z(h). Let g(f) = 69*f**2. What is t(g(k))? -69*k**2 Let c(h) = -2 - h + 2. Let o(q) = 2*q + 14. Let s(b) = 4*b + 35. Let m(i) = 5*o(i) - 2*s(i). Determine c(m(a)). -2*a Let t(a) = -a + 13. Let u(n) = 156 - 3*n**2 - 306 + 150. Calculate t(u(w)). 3*w**2 + 13 Let o(y) = 3*y - 6. Let i(v) = -45*v**2 - 3. Give i(o(r)). -405*r**2 + 1620*r - 1623 Let i(j) be the first derivative of -2*j**2 + 2. Let v(w) = -w + 2. Let y(t) be the third derivative of -t**3/6 + t**2. Let n(d) = v(d) + 2*y(d). Give i(n(p)). 4*p Let j(z) = -31*z. Let d(a) be the third derivative of -32*a + 0 + 2*a**2 + 0*a**3 - 1/12*a**4. What is d(j(r))? 62*r Let y(j) be the third derivative of 7*j**5/60 - 14*j**2. Let t(h) be the third derivative of 1/24*h**4 + 0*h + 0 + 3*h**2 + 0*h**3. Calculate t(y(q)). 7*q**2 Let u(a) be the first derivative of -a**5/60 + 21*a**2/2 - 31. Let b(p) be the second derivative of u(p). Let i(y) = -11*y - 1 + 1. Calculate b(i(r)). -121*r**2 Let s(r) = 1 - 1 + 4*r**2. Let n(x) be the third derivative of 0*x**3 - 1/60*x**5 - 19*x**2 + 0*x + 0*x**4 + 0. What is s(n(a))? 4*a**4 Let z(m) = 2*m**2. Let o = -881 - -883. Let a(s) be the first derivative of 4/3*s**3 + 0*s + 2 + 0*s**o. Give z(a(r)). 32*r**4 Let n(h) = 11*h + 2*h**2 - 11*h. Let j(x) be the second derivative of 5*x**3/3 - x. Determine n(j(v)). 200*v**2 Let c(r) = -620*r. Let x(v) = -11*v + 3. Calculate c(x(h)). 6820*h - 1860 Let o(h) = 2*h. Let i(c) be the second derivative of c**4/8 - c**3/2 + 39*c**2/2 + 12*c. Let z(u) be the first derivative of i(u). Give o(z(b)). 6*b - 6 Let y(z) = -4*z - 1146. Let p(b) = b. Give y(p(h)). -4*h - 1146 Let d(h) = -2*h. Suppose -19 = -6*v - 61. Let y(b) = 5*b**2 + 4*b - 4. Let n(t) = 10*t**2 + 7*t - 7. Let q(x) = v*y(x) + 4*n(x). What is d(q(u))? -10*u**2 Let a(c) = 2*c**2. Let l(r) = 917*r + 1. Determine l(a(m)). 1834*m**2 + 1 Let w(m) = -13*m + 6*m + 6*m. Let l(h) = h**2 + 3*h - 4. Let a be l(-4). Let g(j) = 4*j + a*j - 5*j + 3*j. What is w(g(s))? -2*s Let b(q) = 4*q - 5. Let t(a) = -7*a + 14. Let s(d) = -4*d + 7. Let x(i) = 5*s(i) - 2*t(i). Let y(p) = -7*b(p) - 5*x(p). Let o(h) = -8*h. What is y(o(n))? -16*n Let l(m) = -37*m**2. Let b(c) = -38343*c. Determine b(l(r)). 1418691*r**2 Let p(c) be the third derivative of c**4/24 - 2*c**2. Let a(f) be the first derivative of -9*f**2 - 210. Give p(a(x)). -18*x Let i = 128 + 213. Let a(s) = -s - 341 + i. Let o(k) = 4*k. What is o(a(l))? -4*l Let u(p) = -8*p. Suppose 7*m = 11*m. Let a(h) be the second derivative of -3*h + 0*h**2 + 0 + 1/12*h**4 + m*h**3. Calculate a(u(s)). 64*s**2 Let p(k) = 3*k + 1. Let m(w) = -14*w - 5. Let i(s) = -m(s) - 5*p(s). Let o be 3/((-6)/(-4) + 0). Let l(g) = g**2 + g**2 + 0*g**o. What is l(i(j))? 2*j**2 Let k(h) = 8*h - 3. Let r(z) = -1651*z + 1. Give k(r(b)). -13208*b + 5 Let z(v) = 53*v**2. Let b(p) be the second derivative of p**4/6 + 257*p. Calculate z(b(c)). 212*c**4 Let h(m) be the third derivative of -m**4/24 - m**2. Let l(s) be the second derivative of -6*s + 1/2*s**3 + 0*s**2 + 0. What is l(h(t))? -3*t Let n(b) = 70*b. Let p(j) = -5*j. Let c(s) = -6*n(s) - 85*p(s). Let f(w) = 10*w**2. Determine f(c(k)). 250*k**2 Suppose 3*t = 1 + 14, 0 = -2*l + 5*t - 7. L
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {k: 11, d: 1, p: 2, z: 1, e: 3}. Give prob of sequence kede. 11/12240 Two letters picked without replacement from xqqtqkqtqqttqt. What is prob of sequence kt? 5/182 Four letters picked without replacement from dkdiwxd. Give prob of sequence xdki. 1/280 What is prob of sequence tt when two letters picked without replacement from {b: 6, d: 4, t: 4}? 6/91 Three letters picked without replacement from {f: 1, b: 2, q: 4, a: 1}. Give prob of sequence bba. 1/168 Calculate prob of sequence fzt when three letters picked without replacement from fftfftfffzffftzff. 3/170 Two letters picked without replacement from {o: 2, w: 8}. Give prob of sequence ww. 28/45 What is prob of sequence hee when three letters picked without replacement from {e: 4, h: 8, q: 2}? 4/91 Three letters picked without replacement from {h: 3, l: 3, s: 4, w: 10}. Give prob of sequence hhh. 1/1140 Calculate prob of sequence qqqv when four letters picked without replacement from vqqqvvqqqqqvvqqvqqq. 143/1292 Three letters picked without replacement from {u: 2, b: 2, z: 2}. What is prob of sequence zuu? 1/30 Three letters picked without replacement from ehohhhojuh. Give prob of sequence uej. 1/720 Calculate prob of sequence vf when two letters picked without replacement from fvvvfvfvfffff. 10/39 Three letters picked without replacement from {h: 2, z: 5}. Give prob of sequence zhz. 4/21 Two letters picked without replacement from npnnfnnfpnnnn. What is prob of sequence fp? 1/39 Four letters picked without replacement from tvtttltttxttllt. Give prob of sequence txtl. 3/364 Three letters picked without replacement from {p: 2, g: 1, i: 1, d: 1, l: 1, j: 2}. What is prob of sequence gpj? 1/84 What is prob of sequence nf when two letters picked without replacement from fonfycnnffnnff? 15/91 Four letters picked without replacement from rttyrtyyrrr. What is prob of sequence trry? 1/44 Three letters picked without replacement from {e: 1, g: 1, v: 1, o: 2}. What is prob of sequence vog? 1/30 What is prob of sequence xx when two letters picked without replacement from yxxaipxayxa? 6/55 What is prob of sequence yiyy when four letters picked without replacement from iyyyiyy? 1/7 Three letters picked without replacement from evv. Give prob of sequence vev. 1/3 Two letters picked without replacement from onplponpyp. Give prob of sequence pl. 2/45 Calculate prob of sequence wfw when three letters picked without replacement from {q: 1, f: 9, w: 1, e: 2}. 0 Two letters picked without replacement from gbggbbbggggbgbbgbgbb. Give prob of sequence gg. 9/38 Calculate prob of sequence trz when three letters picked without replacement from {c: 2, f: 3, r: 5, t: 3, m: 1, z: 1}. 1/182 Two letters picked without replacement from mogmddoogo. Give prob of sequence go. 4/45 Four letters picked without replacement from {h: 1, w: 2, v: 3, j: 1}. Give prob of sequence vwwv. 1/70 What is prob of sequence zf when two letters picked without replacement from qbhzhffhqqqhqhg? 1/105 What is prob of sequence zcu when three letters picked without replacement from {c: 1, a: 4, z: 1, k: 5, u: 7, h: 1}? 7/5814 Calculate prob of sequence myv when three letters picked without replacement from vykmkyvp. 1/84 Three letters picked without replacement from gwwwwwgggw. Give prob of sequence gww. 1/6 Two letters picked without replacement from {x: 5}. Give prob of sequence xx. 1 Calculate prob of sequence wcc when three letters picked without replacement from qqcwwqq. 0 What is prob of sequence gkg when three letters picked without replacement from {k: 4, g: 3, i: 1, b: 1, q: 2, m: 4}? 4/455 Calculate prob of sequence qdq when three letters picked without replacement from {d: 3, q: 8}. 28/165 Calculate prob of sequence yyei when four letters picked without replacement from {e: 1, y: 2, k: 1, i: 2}. 1/90 Three letters picked without replacement from rsqee. Give prob of sequence qsr. 1/60 Two letters picked without replacement from kkkkisssstn. What is prob of sequence kk? 6/55 Three letters picked without replacement from xvxvvxvxvvvvvanvkn. Give prob of sequence xvx. 5/204 Four letters picked without replacement from {l: 10, j: 10}. Give prob of sequence ljll. 20/323 Calculate prob of sequence jj when two letters picked without replacement from juaaju. 1/15 Two letters picked without replacement from {c: 1, o: 6, d: 1, a: 2, v: 9}. Give prob of sequence va. 1/19 Calculate prob of sequence oesf when four letters picked without replacement from eshhfehehfoh. 1/1980 Calculate prob of sequence ir when two letters picked without replacement from {f: 1, r: 1, o: 1, t: 8, i: 4}. 2/105 Three letters picked without replacement from gsrg. What is prob of sequence rgs? 1/12 Three letters picked without replacement from ppiaigpppapppapg. Give prob of sequence gap. 9/560 Three letters picked without replacement from woro. What is prob of sequence owo? 1/12 What is prob of sequence jetb when four letters picked without replacement from {j: 1, t: 1, f: 1, e: 1, b: 2, a: 1}? 1/420 What is prob of sequence ukuu when four letters picked without replacement from kkkkkkkkkkkuukkkkkuk? 1/1140 Four letters picked without replacement from {y: 2, x: 1, e: 1, t: 5, v: 1}. Give prob of sequence xxtx. 0 Four letters picked without replacement from ccctcqtttt. Give prob of sequence tccq. 1/84 What is prob of sequence quqj when four letters picked without replacement from {u: 4, t: 4, q: 3, j: 2, c: 1}? 2/1001 Three letters picked without replacement from {f: 3, p: 4, m: 1}. What is prob of sequence pfp? 3/28 Two letters picked without replacement from {m: 1, i: 7, f: 2, g: 1, s: 7}. Give prob of sequence ms. 7/306 What is prob of sequence nnx when three letters picked without replacement from {x: 17, n: 3}? 17/1140 Two letters picked without replacement from {w: 5, n: 7, p: 4, l: 2}. Give prob of sequence wl. 5/153 Three letters picked without replacement from jnssjsssssnnjnjssojs. What is prob of sequence ssn? 1/19 What is prob of sequence kll when three letters picked without replacement from kklkklkkkk? 1/45 What is prob of sequence oaaa when four letters picked without replacement from ooaoooaoooaoao? 10/1001 Four letters picked without replacement from mtmpmmtpt. What is prob of sequence mttm? 1/42 What is prob of sequence yhy when three letters picked without replacement from hhhynnnhhynnh? 1/143 Two letters picked without replacement from {p: 2, n: 2, m: 1, q: 1}. Give prob of sequence nq. 1/15 What is prob of sequence tsf when three letters picked without replacement from tsfjb? 1/60 What is prob of sequence bnb when three letters picked without replacement from {b: 5, n: 5}? 5/36 Calculate prob of sequence mrv when three letters picked without replacement from {r: 2, m: 3, k: 8, v: 3}. 3/560 What is prob of sequence gv when two letters picked without replacement from ggvgvgvgvgggggggvggg? 15/76 Calculate prob of sequence bb when two letters picked without replacement from bbks. 1/6 Three letters picked without replacement from nvnvnv. What is prob of sequence nvn? 3/20 Four letters picked without replacement from alafaflaaaflil. What is prob of sequence lfff? 1/1001 Calculate prob of sequence hy when two letters picked without replacement from {y: 7, h: 2, x: 7}. 7/120 Three letters picked without replacement from {x: 2, o: 1}. Give prob of sequence oxx. 1/3 Calculate prob of sequence crrb when four letters picked without replacement from bbrbbrccrbc. 1/88 What is prob of sequence zao when three letters picked without replacement from ztqtaoqa? 1/168 What is prob of sequence ywcw when four letters picked without replacement from cwwwjcwsjwsjyyyjygw? 5/1938 Calculate prob of sequence ur when two letters picked without replacement from {u: 3, g: 1, r: 13}. 39/272 Two letters picked without replacement from {e: 1, n: 4, f: 5, r: 3, a: 1}. What is prob of sequence fr? 15/182 What is prob of sequence wj when two letters picked without replacement from {d: 1, w: 1, x: 2, j: 1, p: 1, b: 1}? 1/42 Three letters picked without replacement from hujhqlq. Give prob of sequence uql. 1/105 What is prob of sequence eyh when three letters picked without replacement from gyynyayyggygeah? 1/455 What is prob of sequence jku when thr
{ "pile_set_name": "DM Mathematics" }
hird derivative of -11*c**2 + 9*c**2 + 3*c**3 + 8*c**z wrt c? 66 Let k be 2/11 - 279/(-99). Let z be 3/(1/3 + 0). What is the first derivative of -5*j**k + z*j**3 - 9*j**3 + 3 wrt j? -15*j**2 Let l(s) = -93*s**3 - 6*s**2 + 106. Let w(y) = 185*y**3 + 13*y**2 - 210. Let g(m) = 13*l(m) + 6*w(m). Differentiate g(j) with respect to j. -297*j**2 Let z = -1607 + 1611. Let w(m) be the third derivative of 0*m**z - 1/10*m**6 + 1/10*m**5 - 5*m**2 + 0*m**3 + 0 + 0*m. Find the third derivative of w(v) wrt v. -72 What is the derivative of -274*w - 248*w + 112 + 533*w wrt w? 11 Let p be 4/6 - (-600)/18. Suppose -24*q + 22*q = -p. Find the second derivative of -4*r + 0*r - 13*r**3 + q*r wrt r. -78*r Suppose k = 5*j - 4180, -j = -3*k - 0*k - 850. What is the second derivative of -19*h**3 + j*h + 0*h**3 + 3*h**3 - 848*h wrt h? -96*h Suppose -3*r - 32 = -11*r. What is the second derivative of -411*d**4 + 411*d**r + 23*d - 5*d**5 wrt d? -100*d**3 Let n(f) be the third derivative of 97*f**6/30 - 823*f**5/60 + 164*f**2. Find the third derivative of n(y) wrt y. 2328 Find the third derivative of -179*c**3 + 83*c**3 - 43*c**2 + 46*c**3 wrt c. -300 Let v(k) be the third derivative of 29*k**4/6 - 173*k**3/6 - 479*k**2. Differentiate v(x) with respect to x. 116 What is the second derivative of 12*m**3 + m + 16 + 12*m**3 + 66*m**3 wrt m? 540*m Suppose i - 5*u - 3 = -5, -i - 5*u = -8. Suppose -3*h = -c - 13, c = h + h - 7. What is the third derivative of 0 + h*n**6 + i*n**2 - 9*n**2 + 0 wrt n? 720*n**3 Find the second derivative of -74*p**2 - 60*p**2 + 176*p + 3159*p**5 - 3160*p**5 wrt p. -20*p**3 - 268 Let u be 3/(-15) - (-52)/10. Suppose -2*h - 2*g - 13 = 3*g, 3*g = -u*h - 4. Find the first derivative of 5 - h + t + 2*t + 0 wrt t. 3 Let j be 71/4 - (-8)/32. Let g = -18 + j. Find the third derivative of -2*v**2 + 2*v**2 + 2*v**3 + 7*v**2 + g*v**3 wrt v. 12 Let s(g) be the first derivative of -170*g**2 - 13*g + 296. What is the derivative of s(f) wrt f? -340 Let s(i) be the third derivative of -13*i**7/35 + i**5/6 + i**4/24 + 6*i**2. What is the third derivative of s(g) wrt g? -1872*g Let k(b) = -b**3 - 6*b**2 - 8*b - 11. Let s be k(-5). Let l be 18/12 + 2/s. What is the third derivative of -145*x**5 - x**l + 6*x**2 + 139*x**5 wrt x? -360*x**2 Let z(w) = 359*w**2 - 624. Let k(r) = 719*r**2 - 1249. Let c(s) = 2*k(s) - 5*z(s). Find the first derivative of c(a) wrt a. -714*a Find the second derivative of -21*v**5 - 10 + 11 - 15*v**5 + 2*v wrt v. -720*v**3 Suppose -f = -1 - 1. Suppose -5*q = -3*s - 6, 0 = q + q + 3*s - 15. Find the third derivative of -3*n**3 + 6*n**6 - n**6 + 3*n**q + 2*n**f wrt n. 600*n**3 Suppose c - 2 = 2*c - 4*u, -3*c - 2*u = -8. What is the first derivative of -7 - 12*o + c - 6 + 0 wrt o? -12 Differentiate 10*l - 25 - 74 - 161 - 56*l wrt l. -46 Let j(p) = 19*p**4 - 201*p**3 + 2327. Let q(l) = -5*l**4 + 50*l**3 - 581. Let b(s) = -4*j(s) - 15*q(s). Find the first derivative of b(n) wrt n. -4*n**3 + 162*n**2 Let z(q) = -3*q + 16. Let u be z(5). Let w(b) = -12*b**3 + b. Let c(v) = v**3 + v**2 + v. Let n(s) = u*c(s) - w(s). Find the third derivative of n(h) wrt h. 78 Let k(a) be the first derivative of -43*a**7/7 - 44*a**3/3 - a**2 - 81. Find the third derivative of k(s) wrt s. -5160*s**3 Let i(p) = -p**2 + 11 - 11 + 4*p. Let j be i(4). Find the third derivative of j*m**3 + m**3 + 0*m + 0*m - 4*m**2 wrt m. 6 Let t(r) be the third derivative of 0*r**6 + 0 + 0*r**3 - 17/60*r**5 + 0*r + 0*r**4 + 2/15*r**7 + 4*r**2. Find the third derivative of t(j) wrt j. 672*j Let b be (-3)/(-1) + (-3)/3*-1. What is the third derivative of 25*j**b + 2*j**4 + 5*j**2 - 6*j**4 - 9*j**2 wrt j? 504*j Suppose 2*q = -6*q + 232. What is the derivative of -23 + q - 13*y - 4*y wrt y? -17 Find the third derivative of 74*o - 163*o - 429*o**2 - 714*o**6 + 89*o wrt o. -85680*o**3 Find the third derivative of -12738*d**2 - 29*d**5 + 12930*d**2 - 35*d**5 - 111*d**5 wrt d. -10500*d**2 Suppose g = 3*g + 3*b + 8, 4 = 4*g + b. Suppose 0 = -0*j - g*j + 6. Find the second derivative of 6*r - r**3 - j*r + r - 3*r wrt r. -6*r Let r(j) be the second derivative of 3*j**6/10 - j**5/10 + 5*j**3/6 - 31*j**2 - 429*j. Find the second derivative of r(x) wrt x. 108*x**2 - 12*x Let f = 1 + 1. Suppose 4*o - f*r - 74 = 0, 3*o + 3*r + 2*r = 75. Find the second derivative of 8*m - o*m - 83*m**2 + 93*m**2 wrt m. 20 Let t(m) be the first derivative of 336*m**5/5 - m**3/3 - 119*m**2/2 - 211. What is the third derivative of t(u) wrt u? 8064*u Let y(h) be the first derivative of -7 - h**3 + 0*h + 35/2*h**2. Find the second derivative of y(w) wrt w. -6 Let i = 71 + -35. What is the third derivative of i*y**2 - 2*y**6 - 65*y**2 + 41*y**2 wrt y? -240*y**3 Let j = 197 + -91. What is the second derivative of -227*z + 2 + j*z + 108*z - 48*z**2 wrt z? -96 Let h(t) be the second derivative of t**9/2160 - 11*t**5/120 + t**4/4 + 19*t. Let k(j) be the third derivative of h(j). Differentiate k(x) wrt x. 28*x**3 Let s(v) = v**4 - 2*v**3 + v**2 + v. Let i(d) = 129*d**4 + 9*d**3 - 5*d**2 - 5*d - 97. Let m(z) = i(z) + 5*s(z). Find the first derivative of m(h) wrt h. 536*h**3 - 3*h**2 Let s(a) = 38*a**3 + 16*a**2 + 6*a - 6. Let n(p) = 76*p**3 + 34*p**2 + 13*p - 12. Let l(h) = 6*n(h) - 13*s(h). Find the third derivative of l(y) wrt y. -228 Let q(n) = -n**3 + 23*n**2 + 2*n - 44. Let o be q(23). What is the third derivative of 795*u**3 + 4 - 26 - u**o - 789*u**3 wrt u? 36 Let k(w) be the first derivative of -9*w**3 - 83*w - 213. What is the derivative of k(b) wrt b? -54*b Find the second derivative of 28373*b - 28365*b + 209*b**2 - 42*b**2 wrt b. 334 Let z(n) = 44*n**3 - 91*n**2 - 2*n - 4. Let l(g) = -g**3 - g**2 - g - 2. Let d(s) = -2*l(s) + z(s). What is the third derivative of d(b) wrt b? 276 Let q(v) = 123*v**4 + 185*v. Let y(d) = -370*d**4 - 557*d. Let p(h) = 19*q(h) + 6*y(h). Find the second derivative of p(o) wrt o. 1404*o**2 What is the second derivative of -97*w**5 - 486*w + 400*w + 4*w**5 wrt w? -1860*w**3 Suppose 6 = t + 2*l, -13 = -4*t + 3*l - 0. Find the third derivative of 0*u**4 - 4*u**2 - u**2 - 19*u**t wrt u. -456*u Let h be 0/((-6)/(-14 + 8)). Let c(j) be the second derivative of 14*j + 11/12*j**4 + h*j**2 + 0 - 1/3*j**3. What is the second derivative of c(l) wrt l? 22 Let m(a) = a**2 + 7*a - 2. Let l be m(-8). Let b be (l/21)/(2/14). What is the derivative of b*j**4 + 141*j**2 - 141*j**2 - 2 wrt j? 8*j**3 Find the first derivative of -150 + 140 + 340 - 289*q - 426*q wrt q. -715 Find the second derivative of 8*j + 4*j + 30 - 8*j - 43*j**2 + 128 - 2*j wrt j. -86 Let y(x) = -47*x**2 - 344*x. Let q(j) = 94*j**2 + 688*j. Let z(k) = -3*q(k) - 5*y(k). Find the second derivative of z(u) wrt u. -94 Let b(c) = -9*c**3 + 377*c**2 + 3*c - 5. Let h(x) = -5*x**3 + 189*x**2 + 2*x - 2. Let n(k) = -3*b(k) + 5*h(k). Find the second derivative of n(d) wrt d. 12*d - 372 Let i(x) be the second derivative of 321*x**5/20 + 455*x**3/6 - 2*x + 44. What is the second derivative of i(b) wrt b? 1926*b Suppose -5 = -j + 5*g - 22, -j + 2*g = 5. Suppose 2*u + 53 - 6 = j*k, -k = -4*u - 29. Find the second derivative of -13*v**2 + k*v**2 - 5*v + 3*v**5 wrt v. 60*v**3 Let u be (-28)/8*12/(-7). What is the second derivative of 16*r**2 - 17*r**2 + 3*r + u*r**2 wrt r? 10 What is the second derivative of -531*j**5 + 16046*j + 0 + 1 - 15637*j wrt j? -10620*j**3 Let j(m) = -9*m**2 - m - 4. Let q(f) = -1 + 24*f + f**2 + 18*f - 43*f. Let w(l) = -j(l) + 4*q(l). Find the second derivative of w(c) wrt c. 26 Suppose v + 18 = -2*d, -2*v + 22 = -2*d - 4*v. Let b = -4 - d. What is the second derivative of 3*g + g**b - g**3 - 6*g**3 wrt g? -36*g Let t(p) = 23*p + 4. Let j(d) = 24*d + 5. Let n be (-3)/30*4*15. Let b(s) = n*t(s) + 5*j(s). Differentiate b(a) wrt a. -18 Let z(u) = 21*u**3 + 6*u**2 + 57*u + 6. Let o(h) = 21*h**3 + 7*h**2 + 58*h + 7. Let c(x) = -6*o(x) + 7*z(x). Find the second derivative of c(d) wrt d. 126*d Let p(v) = 139*v**3 - 397*v**2 - 6*v + 36. Let j(r) = -139*r**3 + 397*r**2 + 5*r - 30. Let w(n) = -6*j(n) - 5*p(n). Find the third derivative of w(d) wrt d. 834 Differentiate 3*v + 98*v - 13 - 9*v + 8*v with respect to v. 100 Let w(v) = v**3 + v**2 + v. Let h(j) = 91*j**4 - 5*j**3 - 5*j**2 - 5*j + 37. Let s(u) = -h(u) - 5*w(u). Differentiate s(x) wi
{ "pile_set_name": "DM Mathematics" }
ainder when 7257894 is divided by 3826? 3798 What is the remainder when 53080 is divided by 17281? 1237 Calculate the remainder when 76850 is divided by 76720. 130 What is the remainder when 274041 is divided by 1257? 15 What is the remainder when 100078 is divided by 56? 6 Calculate the remainder when 641962 is divided by 6970. 722 Calculate the remainder when 312037 is divided by 3939. 856 Calculate the remainder when 378854 is divided by 1111. 3 What is the remainder when 283768 is divided by 56735? 93 What is the remainder when 2310732 is divided by 71? 37 Calculate the remainder when 1437998 is divided by 287590. 48 Calculate the remainder when 25978 is divided by 25863. 115 Calculate the remainder when 33726582 is divided by 108098. 6 What is the remainder when 16065071 is divided by 4444? 11 Calculate the remainder when 55699009 is divided by 1874. 1855 Calculate the remainder when 1858503 is divided by 40401. 57 Calculate the remainder when 709214 is divided by 118200. 14 What is the remainder when 211221 is divided by 4056? 309 What is the remainder when 39981589 is divided by 377? 362 What is the remainder when 1064711 is divided by 326? 321 Calculate the remainder when 1936996 is divided by 391. 373 What is the remainder when 667221 is divided by 1078? 1017 Calculate the remainder when 31156268 is divided by 1112723. 24 Calculate the remainder when 2545295 is divided by 848420. 35 Calculate the remainder when 1531726547 is divided by 12. 11 What is the remainder when 13453912 is divided by 80? 72 Calculate the remainder when 100886 is divided by 4389. 4328 Calculate the remainder when 23998588 is divided by 83. 51 Calculate the remainder when 521815678 is divided by 2040. 2038 What is the remainder when 293992 is divided by 4453? 94 Calculate the remainder when 2755286 is divided by 15655. 6 Calculate the remainder when 86381 is divided by 27906. 2663 What is the remainder when 319710717 is divided by 21? 18 What is the remainder when 600206 is divided by 1144? 750 Calculate the remainder when 3041611 is divided by 13. 1 What is the remainder when 844748 is divided by 281037? 1637 Calculate the remainder when 2152076 is divided by 239119. 5 What is the remainder when 2416748 is divided by 1123? 52 Calculate the remainder when 70615 is divided by 1572. 1447 What is the remainder when 14857023 is divided by 2122430? 13 What is the remainder when 2334497 is divided by 2334486? 11 What is the remainder when 470254 is divided by 7234? 44 Calculate the remainder when 6302975 is divided by 2160. 95 What is the remainder when 153194 is divided by 38237? 246 Calculate the remainder when 5076072 is divided by 294. 162 Calculate the remainder when 135003 is divided by 44977. 72 Calculate the remainder when 8869110 is divided by 582. 12 What is the remainder when 92278723 is divided by 3135? 3133 What is the remainder when 652901 is divided by 313? 296 What is the remainder when 37569 is divided by 447? 21 Calculate the remainder when 48919 is divided by 88. 79 Calculate the remainder when 1351589 is divided by 856. 821 Calculate the remainder when 149913133 is divided by 12492760. 13 Calculate the remainder when 20885949 is divided by 25. 24 What is the remainder when 6721566 is divided by 519? 516 What is the remainder when 2984604 is divided by 497369? 390 What is the remainder when 6713077 is divided by 429? 85 What is the remainder when 30361316 is divided by 1943? 1941 What is the remainder when 932566 is divided by 202? 134 What is the remainder when 2152857 is divided by 5506? 11 What is the remainder when 2384993 is divided by 433? 29 Calculate the remainder when 327367 is divided by 2976. 7 What is the remainder when 179447 is divided by 2000? 1447 Calculate the remainder when 30055239 is divided by 15027619. 1 Calculate the remainder when 12024459 is divided by 633. 624 What is the remainder when 86239937 is divided by 573? 572 Calculate the remainder when 74867 is divided by 37. 16 Calculate the remainder when 15752300 is divided by 1575229. 10 Calculate the remainder when 703497 is divided by 15592. 1857 What is the remainder when 28861968 is divided by 20155? 8 Calculate the remainder when 398032681 is divided by 3038. 3035 What is the remainder when 223181 is divided by 83? 77 Calculate the remainder when 1069224 is divided by 356310. 294 Calculate the remainder when 172051 is divided by 979. 726 Calculate the remainder when 71901 is divided by 834. 177 Calculate the remainder when 142593467 is divided by 2137. 5 Calculate the remainder when 234400 is divided by 13012. 184 Calculate the remainder when 14390561 is divided by 473. 9 What is the remainder when 59962 is divided by 3444? 1414 What is the remainder when 5829190 is divided by 944? 934 What is the remainder when 246354 is divided by 14036? 7742 What is the remainder when 172235940 is divided by 18703? 13 What is the remainder when 33507 is divided by 88? 67 What is the remainder when 460349 is divided by 51146? 35 Calculate the remainder when 1062399 is divided by 226. 199 What is the remainder when 1703507 is divided by 161? 127 Calculate the remainder when 47122551 is divided by 88. 47 What is the remainder when 13708658 is divided by 136? 130 Calculate the remainder when 48092081 is divided by 5343564. 5 Calculate the remainder when 1069579 is divided by 5977. 5673 What is the remainder when 174462577 is divided by 129? 10 Calculate the remainder when 6343942 is divided by 704881. 13 What is the remainder when 31439133 is divided by 126? 117 Calculate the remainder when 83421 is divided by 1063. 507 Calculate the remainder when 19596103 is divided by 357. 16 Calculate the remainder when 28539963 is divided by 334. 331 Calculate the remainder when 739552 is divided by 129. 124 Calculate the remainder when 2887431 is divided by 146. 135 What is the remainder when 188944 is divided by 11796? 208 What is the remainder when 27824 is divided by 10140? 7544 What is the remainder when 5891550 is divided by 20? 10 Calculate the remainder when 6956065 is divided by 3346. 3077 Calculate the remainder when 123982 is divided by 46. 12 Calculate the remainder when 108440671 is divided by 3184. 3183 What is the remainder when 4053588 is divided by 20? 8 What is the remainder when 98839671 is divided by 8? 7 What is the remainder when 23823795 is divided by 572? 567 What is the remainder when 58321921 is divided by 20507? 13 Calculate the remainder when 82207 is divided by 20507. 179 What is the remainder when 682093 is divided by 752? 29 Calculate the remainder when 60590440 is divided by 41. 25 What is the remainder when 1023050 is divided by 340970? 140 Calculate the remainder when 3777073 is divided by 3319. 51 What is the remainder when 38460090 is divided by 18? 12 What is the remainder when 1055815 is divided by 1084? 1083 Calculate the remainder when 4596582 is divided by 562. 546 What is the remainder when 33861814 is divided by 350? 14 What is the remainder when 389495 is divided by 288? 119 Calculate the remainder when 282386 is divided by 5430. 26 What is the remainder when 31134195 is divided by 431? 48 What is the remainder when 10412342 is divided by 25? 17 What is the remainder when 471080147 is divided by 6173? 6171 Calculate the remainder when 14921 is divided by 4487. 1460 What is the remainder when 11181540 is divided by 196167? 21 Calculate the remainder when 2619468 is divided by 531. 45 Calculate the remainder when 2517431 is divided by 2393. 2388 Calculate the remainder when 39922 is divided by 39808. 114 What is the remainder when 1667525 is divided by 269? 263 Calculate the remainder when 4370728 is divided by 1371. 1351 What is the remainder when 286585236 is divided by 619? 616 Calculate the remainder when 35889863 is divided by 37. 11 What is the remainder when 6070209 is divided by 1805? 1799 What is the remainder when 1229362 is divided by 757? 751 Calculate the remainder when 59907 is divided by 2995. 7 What is the remainder when 38794829 is divided by 1985? 1974 Calculate the remainder when 2959420 is divided by 295941. 10 Calculate the remainder when 14646 is divided by 385. 16 What is the remainder when 252895 is divided by 126291? 313 Calculat
{ "pile_set_name": "DM Mathematics" }
**3 - 61*c**2 - 224*c + 2047. Let r be q(64). What is r*n(y) - 4*s(y)? -3*y**2 + y + 2 Let y(s) = -130*s**2 + s - 196. Let l(w) = -368*w**2 + 2*w - 587. What is -6*l(n) + 17*y(n)? -2*n**2 + 5*n + 190 Let k(y) = -1 - 7*y + 1. Let z(m) = -2*m. Let s(t) = -t. Suppose 9*o + 12 = 2*q + 5*o, q + 4*o + 24 = 0. Let j(f) = q*z(f) + 5*s(f). Give 5*j(u) + 2*k(u). u Let r be 4/10 + 15521/85. Let u(g) = -183*g**2 - 4*g - r*g**2 + 371*g**2. Let s(i) = 2 - i + 3*i**2 - 2 - 2*i**2. What is 20*s(o) - 5*u(o)? -5*o**2 Let c(p) = 40*p**2 + 13*p + 32. Let q(u) = 40*u**2 + 11*u + 21. Give -5*c(y) + 6*q(y). 40*y**2 + y - 34 Let c(y) = -y**3 - 4*y**2 + 5*y + 4. Let q(b) = b**3 + 5*b**2 - 5*b - 5. Suppose 30 = -5*s + 5*o, 0 = -6*s + 8*s - 4*o + 28. Give s*q(g) + 3*c(g). -g**3 - 2*g**2 + 5*g + 2 Let j(a) be the first derivative of -7*a**4/4 + 5*a**3/3 - 7*a**2/2 - 25. Let f = -821 - -819. Let v(c) = 4*c**3 - 2*c**2 + 3*c. Calculate f*j(x) - 5*v(x). -6*x**3 - x Let m(d) = -3*d**2 - 11*d. Let u(r) = 715*r + 721*r - 2185*r - 5*r**2 - 2*r**2 + 728*r. What is -5*m(v) + 2*u(v)? v**2 + 13*v Let o(r) = -4*r - 1. Let z(f) = 9*f + 990. Give 2*o(u) + z(u). u + 988 Suppose 17*a + 428 - 485 = -2*a. Let u(v) = -5*v - 1. Let k(o) be the first derivative of -9*o**2/2 - 2*o + 11. Calculate a*k(h) - 5*u(h). -2*h - 1 Let x(b) = 72*b**3 - 28*b**2 + 28*b. Let c = 53 + -29. Let d be ((-40)/c)/(1/(-3)). Let y(f) = -13*f**3 + 5*f**2 - 5*f. Determine d*x(s) + 28*y(s). -4*s**3 Let r(g) = 17*g**2 - 81*g - 177. Let x(j) = -10*j**2 + 44*j + 89. Determine -3*r(s) - 5*x(s). -s**2 + 23*s + 86 Let c(o) = 3*o**2 - 37*o + 138. Let k be c(12). Let t = 125 - k. Let y(f) = -f. Let v(l) = 8*l - 3. Give t*v(r) - 6*y(r). -2*r + 3 Let v(t) = 7*t + 1. Let y(x) = 3*x**3 - 258*x - 12. Give -12*v(w) - y(w). -3*w**3 + 174*w Let v(l) = 6*l**3 - 5*l**2 - 6*l + 4. Let x(m) be the first derivative of 5*m**4/4 - 4*m**3/3 - 5*m**2/2 + 4*m + 1. Let p = 301 + -296. What is p*x(z) - 4*v(z)? z**3 - z + 4 Let j(n) = 5*n**3 + 3*n**2 + 3*n. Suppose 0 = -7*v + 307 - 1049. Let f = 97 + v. Let w(x) = -11*x**3 - 7*x**2 - 6*x. Give f*j(i) - 4*w(i). -i**3 + i**2 - 3*i Let z(m) = m**2 - m - 1. Let h(u) = -4*u**2 + 113*u - 2. Determine -h(d) - 3*z(d). d**2 - 110*d + 5 Let i(j) = 1. Let r(g) = -1609*g - 3. Give -2*i(k) - r(k). 1609*k + 1 Suppose -8*p + p = 14. Let l(f) = 60*f**2 + 25*f - 25. Let s(q) be the second derivative of -5*q**4/12 - q**3/3 + q**2 - 86*q. Calculate p*l(j) - 25*s(j). 5*j**2 Let y(f) = -17*f**2 - 5*f. Suppose -c + 24 = -4*c. Let d(o) = -o**2 - 8*o + 4. Let b be d(c). Let z(h) = 48*h**2 - 6*h - 56*h**2 + b*h. What is 2*y(k) - 5*z(k)? 6*k**2 Let j(c) = -407*c**3 - 6*c**2 - 8*c - 2. Let t(r) = 745217*r**3 + 10989*r**2 + 14652*r + 3663. What is 7326*j(i) + 4*t(i)? -814*i**3 Let q(l) = 2*l + 9. Let h = 0 - 6. Let b(d) = -2*d + 2*d - 10 - 3*d - d + 2*d. What is h*q(z) - 5*b(z)? -2*z - 4 Let z(n) = -9*n**3 - 8*n**2 - 7. Let y(m) = -m**2 - 67*m + 525. Let u be y(-74). Let g(s) = -8*s**3 - 9*s**2 - 6. What is u*g(i) - 6*z(i)? -2*i**3 - 15*i**2 Let i(w) = 9*w**2 - 365. Let t(l) = 3*l**2. What is -i(b) + 2*t(b)? -3*b**2 + 365 Let s(o) = 8*o**2 + 5*o - 17. Let k(r) = 9*r**2 + 43*r - 28. Let j(h) = 19*h**2 + 74*h - 55. Let m(v) = 3*j(v) - 5*k(v). Calculate -5*m(z) + 7*s(z). -4*z**2 + 6 Let t(i) = -88*i + 2503. Let l(v) = 35*v - 1251. Calculate -5*l(m) - 2*t(m). m + 1249 Suppose 143*w = -134*w + 306*w - 87. Let c(o) = 560*o**3 + 98*o + 98. Let z(l) = -17*l**3 - 3*l - 3. What is w*c(s) + 98*z(s)? 14*s**3 Let n(s) = -4*s**2 - s. Let l(h) = h**2. Let w(u) = 57*u**2 + u + 1. Let a be w(-1). Let o be 718/12 - 15/18. Let y = a - o. Give y*l(i) - n(i). 2*i**2 + i Let p(j) = -23*j**3 - 4*j**2 - 4. Let s = 9155 + -9151. Let b(m) = -162*m**3 - 27*m**2 - 27. Give s*b(z) - 27*p(z). -27*z**3 Let x(l) = -2*l - 2. Let y(r) = -2*r - 3. Let g = -411 + 406. Give g*y(i) + 6*x(i). -2*i + 3 Let d(l) = -14070*l**3 - 14*l**2 + 32*l - 48. Let i(c) = 8040*c**3 + 8*c**2 - 18*c + 27. Calculate -9*d(k) - 16*i(k). -2010*k**3 - 2*k**2 Suppose 0 = -37*o + 102*o - 45*o + 80. Let l(r) = 3*r**3 + 3*r**2 - 1. Let z(m) = -2*m**3 - 4*m**2 + 1. Give o*l(d) - 3*z(d). -6*d**3 + 1 Let x(b) = b**3 + b**2 - b - 1. Suppose 0 = 4*g + 4*c + 24, -9*g + 11*g - 3*c - 13 = 0. Let a(z) = -3*z**3 - 4*z**2 + 2*z + 6. What is g*a(o) - 4*x(o)? -o**3 + 2*o - 2 Let h(u) = -60*u - 54*u + 121*u. Let v(r) = -8*r. Let d(p) = 4*p + 52. Let k be d(-12). Calculate k*h(c) + 3*v(c). 4*c Let d = 334 - 324. Suppose 0*b - 5*b = -d. Let k(o) = 2*o - 1. Let j(w) = w. Let x(h) = j(h) - k(h). Let q(z) = 6*z - 6. Determine b*q(l) + 14*x(l). -2*l + 2 Let s(n) = -1. Let u(i) = 11*i + 2. Suppose 0 = 37*c - 18 - 19. Determine c*s(d) + u(d). 11*d + 1 Let t(j) = 10*j. Let p be (-8)/(-6)*9/6. Let q(z) = -2 + 21*z - 19*z + 28*z + p. What is -2*q(a) + 7*t(a)? 10*a Let v(r) = -3*r**3 - 3105*r**2 + 96. Let n(j) = -4*j**3 - 3105*j**2 + 120. What is 4*n(y) - 5*v(y)? -y**3 + 3105*y**2 Let i(z) = -z**2 + 2*z + 10. Let h(a) = -11*a**2 + 57*a - 29. Let j(p) = 24*p**2 - 124*p + 61. Let s(k) = 13*h(k) + 6*j(k). Calculate -4*i(g) - 3*s(g). g**2 + g - 7 Let y = -86 + 92. Let l(u) = -u - u**2 - 6*u + y*u. Let c(k) = -2*k + 1. Let t(v) = v**2 - v + 2. Let z(f) = -3*c(f) + 2*t(f). What is 4*l(p) + z(p)? -2*p**2 + 1 Let l(s) = s**2 + 22*s + 341. Let w be l(-12). Let g(o) = 260*o**2 - 221. Let i(c) = -7*c**2 + 6. Determine w*i(r) + 6*g(r). 13*r**2 Let b(p) = -p**3 - 16. Let f(a) = 27*a**3 + 4*a**2 - 3*a - 17. Calculate -b(n) + f(n). 28*n**3 + 4*n**2 - 3*n - 1 Let i(y) = 100*y**2 + 7*y + 1. Let a(d) = -158*d**2 - 15*d - 2. Determine 3*a(b) + 5*i(b). 26*b**2 - 10*b - 1 Let q(w) = 77*w - 35. Suppose h + 399 - 405 = 0. Let s be (-6 + 1)*(-2 - 5). Let d(g) = -13*g + 6. Determine h*q(t) + s*d(t). 7*t Let w(k) = k + 1. Let f(l) = 8*l + 6. Suppose -49*t = -31*t - 432. Suppose t*y + 135 = 39. What is y*f(m) + 24*w(m)? -8*m Let j(t) = 6*t**2 + 10*t + 6. Let a be (-2 + 3)/(-4 - (11 + 296/(-20))). Let s(o) = -o**2 - o - 1. Calculate a*s(f) - j(f). -f**2 - 5*f - 1 Let x(w) = -13*w**2 + 10*w + 66. Let q(j) = 28*j**2 - 22*j - 129. Determine -6*q(a) - 13*x(a). a**2 + 2*a - 84 Let u(v) be the second derivative of v**5/4 - 11*v**4/4 + 4*v**3/3 + 9*v**2/2 - 2*v + 843. Let x(a) = -a**3 + 8*a**2 - 2*a - 2. Determine 2*u(r) + 9*x(r). r**3 + 6*r**2 - 2*r Let h(u) = 11*u**3 + 5*u**2 + 2*u - 5. Let i(m) be the second derivative of -m**5/2 - m**4/2 - m**3/3 + 3*m**2 - 49*m - 36. Determine 6*h(j) + 5*i(j). 16*j**3 + 2*j Let m(y) = 37*y**2 - 26*y - 9. Let u(s) = -8*s**2 + 7*s + 2. Determine 6*m(d) + 22*u(d). 46*d**2 - 2*d - 10 Let i(f) = 21*f + 83. Let g(a) = -63*a - 234. Determine -3*g(v) - 8*i(v). 21*v + 38 Let j = 4 + -1. Let p = j - 7. Let b(i) = -i - 7. Let h(y) be the second derivative of y**3/6 + 3*y**2 + 9*y + 41. Determine p*h(q) - 3*b(q). -q - 3 Let d(l) = -45*l**2 - 54 + 72 + 177*l**2 - 15 - 7*l. Let i(v) = -88*v**2 + 5*v - 2. What is -5*d(u) - 7*i(u)? -44*u**2 - 1 Let d(i) = -76*i**3 - 11*i**2 - 84*i + 13. Let m(v) = 38*v**3 + 6*v**2 + 46*v - 7. What is -6*d(p) - 11*m(p)? 38*p**3 - 2*p - 1 Let p(x) = 1909*x + 49. Let u(t) = 636*t + 18. Determine -3*p(c) + 8*u(c). -639*c - 3 Let y(w) = -10*w**3 + 7*w**2 + 29*w**3 + w**3 - 10*w**3 - 7*w - 47. Let b(p) = 3*p**3 + 2*p**2 - 2*p - 16. Determine 7*b(r) - 2*y(r). r**3 - 18 Let w(h) = -2*h + 5. Let b(i) = 12*i. Let z(s) = -s - 1. Let k(t) = b(t) + 9*z(t). Let j be 4*(9/15)/(60/(-75)). Give j*k(o) - 5*w(o). o + 2 Let d(u) = 13*u**2 + 9*u - 7. Let m be (-23)/276 + 602/24. Suppose 5*b = 3*z + 33, z + m = 4*b - 0. Let i(g) = -7*g**2 - 5*g + 4. Calculate b*d(n) + 11*i(n). n**2 - n + 2 Let r(c) = 9*c**2 + 126*c - 2. Let o(b) = -19*b**2 - 252*b + 3. Determine -3*o(l) - 5*r(l). 12*l**2 + 126*l + 1 Let x(f) = 7*f + 10. Let k(l) = 22*l + 1. Let w(q) = -4*k(q) + 4*x(q). Let z(a) = a - 1. Determine -2*w(s) - 72*z(s). 48*s Let l(q) = -3*q**3 + 6*q**2 + 8*q - 2. Let t = -31 + 48. Let g(x) = -t*x + 4 - 13*x**3 + 20*x**3 - 5*x**2 - 11*x**2 + 3*x**2. What is -6*g(m) - 13*l(m)? -3*m**3 - 2*m + 2 Suppose -5*h + 31 - 27 = -11. Let w(q) = -2*q**3 + 4*q**2 - 2*q + 7. Let f(n) = -7*n**3 + 11*n**2 - 5*n + 20. What is h*f(l) - 8*w(l)? -5*l**3 + l**2 + l + 4 Let h(t) = -7*t**2 + 9*t + 15. Suppose -9 = -12*k + 15*k. Let g
{ "pile_set_name": "DM Mathematics" }
at is q rounded to the nearest ten? -20 Let t = 934.000409 - 934. Round t to four dps. 0.0004 Let j = -257.2 - -238. What is j rounded to the nearest integer? -19 Let n = 3.472 + -59.712. Let v = 55 + n. What is v rounded to one dp? -1.2 Let r = 2675.05121 + -2559.0507. Let p = -116 + r. What is p rounded to 4 dps? 0.0005 Let z = 3836296 - 1747567. Let t = -888729 + z. Round t to the nearest one million. 1000000 Let v = -0.02 + 3.02. Let o = -16861.99896 + 16859. Let k = o + v. What is k rounded to 4 dps? 0.001 Let n = -0.087 - -0.156. What is n rounded to 2 decimal places? 0.07 Let y(p) = 57*p**3 - 2*p**2 + 2*p - 1. Suppose -5 = -x - 4. Let n be y(x). Let d = 106 - n. What is d rounded to the nearest one hundred? 100 Let m = -123.9788 - -124. Round m to 3 decimal places. 0.021 Suppose 0*b + 3*b = -4*l - 44092, -2*l + 73504 = -5*b. What is b rounded to the nearest 1000? -15000 Let x be (-2)/3 - 12600012/(-18). Suppose 3*g + x = g. Round g to the nearest 100000. -400000 Let l = 17 - 25. Let f = -31 - l. Let z = -22.9959 - f. Round z to three decimal places. 0.004 Let x = -84.37 + 78.1. Round x to 0 dps. -6 Let i = -197356 + 484308. Let u be ((-3)/(-6))/((-1)/(-2193904)). Let b = i - u. Round b to the nearest one hundred thousand. -800000 Let r = -189 + 188.33. Round r to one decimal place. -0.7 Let n = -186 + 107. Let z be 0 - (1 + (n - 2)). What is z rounded to the nearest 100? 100 Suppose 5*j + 102893 = 4*h + 332873, -4*j - 4*h + 184020 = 0. Suppose 4*v = 5*v + j. Round v to the nearest 10000. -50000 Let b be (-2)/(-14) - 158760006/42. Round b to the nearest 1000000. -4000000 Let q = 20197.827 - 20209. Let j = 11.3 + q. What is j rounded to 2 dps? 0.13 Let j = -8 - -13. Let t = 6 - j. Let p = -1.08 + t. Round p to 1 decimal place. -0.1 Suppose -3*u + 7*s - 9 = 2*s, -5*s = 0. Let y be 6 + (0 - -1) + u. What is y rounded to the nearest ten? 0 Suppose 0 = 6*t - 7*t - 5869794. Let l = -147675 - t. Let i = l + -8022119. Round i to the nearest 1000000. -2000000 Let l = 0.5 + -1. Let h = -9107689 + 9107689.5000011. Let q = h + l. What is q rounded to 6 decimal places? 0.000001 Let y = -0.211 + 0.081. Round y to one decimal place. -0.1 Let b = 10.180581 + -10.18. Round b to four dps. 0.0006 Let g(x) = x**2 - x - 1. Let o be g(3). Suppose -t - 8 = 2*w, -6*w - 16 = o*t - 2*w. What is t rounded to the nearest ten? 0 Suppose 12700006 = 5*u - 3*i, -2*u + 2*i + 1467803 = -3612201. What is u rounded to the nearest one million? 3000000 Let s = 1055.5945 - 1055. Let z = s - 0.6. What is z rounded to 3 dps? -0.006 Let y = -62.9939 + 63. Round y to three decimal places. 0.006 Let y = -0.18268 - -26.19028. Let w = 26 - y. What is w rounded to 3 decimal places? -0.008 Let g = -1 + 3. Let p(l) = -2 + 201*l + 199*l + 4 - 111*l. Let c be p(g). Round c to the nearest one hundred. 600 Suppose 2*h + 76215 = -3*m, 253846 = -5*h - 5*m + 63321. Round h to the nearest 1000. -38000 Let i = 1.4999948 - 1.5. Round i to 6 dps. -0.000005 Let u = -4.05 + 0.05. Let k = -22 + 25.1. Let z = u + k. Round z to zero dps. -1 Suppose -v + 4 = -0*v. Suppose 389988 = -v*s + s - 4*l, -2*s - 260006 = -2*l. Round s to the nearest one hundred thousand. -100000 Let v = -11 - -8. Let l = 9.5 + v. What is l rounded to the nearest integer? 7 Let u = 9.1 - 1.1. Let f = -7.972 + u. Round f to 2 decimal places. 0.03 Let z = -2 - -4. Let x be -2*1*(-247 + z). What is x rounded to the nearest 100? 500 Let x = 1.1 - -10.9. Let t = x + -57. Let z = 41.2 + t. What is z rounded to the nearest integer? -4 Let i = 3 + -5. Let d = 302148.99839 - 302151. Let v = i - d. Round v to four dps. 0.0016 Let l = -0.13 + 0.48. Let u = l - -39.65. Let g = -40.00000082 + u. What is g rounded to seven dps? -0.0000008 Suppose -i + 14 - 2 = 3*b, 3*i = -3*b + 18. Suppose -2*f + 10 = 0, 8*m + 3*f - 6500015 = i*m. What is m rounded to the nearest 1000000? 1000000 Let i = -12 + -32. Let f = 43.9999937 + i. Round f to six dps. -0.000006 Let j = -85 - -35. Round j to the nearest ten. -50 Let t = -0.0099975 + 0.01. Round t to 7 dps. 0.0000025 Suppose 0 = 3*c + 12, 2*h + 4*c + c = 10520. Round h to the nearest one hundred. 5300 Let l = -24.500101 + 24.5. What is l rounded to 5 decimal places? -0.0001 Suppose -3*p - 4 = -4*p. Let q(y) = y + 1. Let v(a) = -295025*a - 25. Let s(h) = 125*q(h) + 5*v(h). Let g be s(p). Round g to the nearest 1000000. -6000000 Let g = 0.01 - 0.010305. What is g rounded to 4 decimal places? -0.0003 Let k = 15.35 + 1.85. Let g = 16 - k. Let v = g + 1. Round v to one decimal place. -0.2 Suppose -4*u - u = -18560. Let r = -1888 - u. What is r rounded to the nearest 1000? -6000 Let n = 0.17 + -0.2. Let r = 24.03 + n. Let b = r - 24.0046. Round b to three decimal places. -0.005 Let q = -37.4 - -42.78. Round q to 0 dps. 5 Let g(h) = -127*h**2 + 23. Let d be g(7). Round d to the nearest 1000. -6000 Let w(r) = 4*r**2 - 2*r - 1. Let m(a) = -a**2 - 1. Let p(u) = 3*m(u) + w(u). Let c be p(3). Let y be (4 + -64)/(c/250). What is y rounded to the nearest 10000? 20000 Suppose 3*r + 2*r + 15 = 0. Let u be -203 + r/(-3) + 1. Let t be u/(-2) + (-2)/(-4). Round t to the nearest 10. 100 Let a = -161.00000199 + 161. Round a to seven decimal places. -0.000002 Let i = 5.0000005 + -5. Round i to 7 dps. 0.0000005 Suppose -177499 - 130506 = -4*c + 5*b, 0 = -4*b - 4. What is c rounded to the nearest ten thousand? 80000 Let u be (-1 + -1 + 2)/1. Let f(s) = -s + 12283. Let b be f(u). Let v = -2483 + b. What is v rounded to the nearest one thousand? 10000 Suppose 0 = -4*s - 20, -7*f + 4*s + 17 = -4*f. Let c(v) = -6094*v - 707*v + 0 - 1. Let x be c(f). Round x to the nearest 1000. 7000 Let j = 0.4 - 0.1. Let s = 0.2999956 - j. Round s to six dps. -0.000004 Let h(j) = -111*j**3 - j**2. Let k be h(-1). Suppose k = -2*l - 254. What is l rounded to the nearest 10? -180 Let a be (-10)/(-2) + 1 + -3. Suppose -a*p + 8009 = -2*q - 0*p, -8015 = 2*q - 5*p. What is q rounded to the nearest one thousand? -4000 Let t(v) = -3*v**3 + 2*v**2 - 4. Let p be t(-2). Round p to the nearest ten. 30 Suppose -r - 440039 + 1294972 = 0. Let j = -304933 + r. What is j rounded to the nearest 100000? 600000 Suppose 0 = -7*w + 8*w + 4199. Let x be 4/(-16) + w/4. What is x rounded to the nearest 100? -1100 Suppose 30462252 = -0*m - 2*m. Let v = -18880281 - 6950845. Let u = m - v. What is u rounded to the nearest one million? 11000000 Let a = -0.7357 - -2.0371. Let z = a + -1.3. What is z rounded to 4 dps? 0.0014 Suppose -85372927 + 29772927 = -2*l. What is l rounded to the nearest 1000000? 28000000 Suppose 0 = -7*q - 2859852 + 14549852. What is q rounded to the nearest one hundred thousand? 1700000 Let o = 0.03200225 - 0.032. Round o to seven dps. 0.0000023 Let o = 16 - 47. Let a = o + 47. Let z = 16.031 - a. Round z to 2 dps. 0.03 Let m be (2 - (-928)/6)*300. Round m to the nearest ten thousand. 50000 Let v = 3 - 1. Let q = -4 + v. Let s = q + 1.999955. Round s to five dps. -0.00005 Let s(q) = 3 + 4 - 26999*q - 6. Let u be s(-1). Round u to the nearest 10000. 30000 Let g be (-2840)/((-34)/(-10) + -3). What is g rounded to the nearest one thousand? -7000 Let b = 0.3 + 1.3. Let u = b - 2. Let m = -0.03 + u. Round m to one dp. -0.4 Let v = 0.15 - 0.13. Let j = v + -0.02046. Round j to four decimal places. -0.0005 Let g = -0.17 + 0.175. Let x = 0 + g. Round x to two decimal places. 0.01 Let z(t) = -t**3 + 8*t**2 - 2*t + 5. Let i be z(5). Let r be (i - (-3 + 4))/1. What is r rounded to the nearest 10? 70 Let k = -2 - -14. Suppose 8 + k = 5*o. Suppose 3*z = o*i + 692, -4*i - 4*z - 664 = -0*z. Round i to the nearest 100. -200 Let l = 0.24 - 0.240000887. Round l to 7 dps. -0.0000009 Let g be (0 - -1)*1925/(-14)*16. Round g to the nearest one thousand. -2000 Let l = 606.33 - 601.78615. Let s = 5.743 - l. Let y = 1.2 - s. Round y to 4 decimal places. 0.0009 Let j(t) = 8*t**2 - 4*t + 7. Let v be j(-6). Suppose 0 = r + 5*z - 325, r + 2*z - v = -z. Let m = 710 - r. Round m to the nearest one hundred. 400 Let v = -0.14 + -1.66. Let z = -3312.9939 - -3314.8. Let y = v + z. Round y to three decimal places. 0.006 Let g be (-6 - -1)*6/(-10). Let c be (10/g)/((-1)/3). Let z be 12004/c - 2/(-5). What is z rounded to the nearest one thousand? -1000 Let t(s) = 3651*s**2 - 2*s + 1.
{ "pile_set_name": "DM Mathematics" }
11)))**9 assuming p is positive. p**(-266/11) Simplify (l/l**(-1/10)*l)**(3/17)*l*l**13*l**(-14) assuming l is positive. l**(63/170) Simplify (p**20/p*p/(p*p/p**23))**(-3/14) assuming p is positive. p**(-123/14) Simplify (i**(1/3)*(i/(((i*i/(i*i/i**(3/11)))/i)/i)*i)/i*i)/((((i/(i/i**(2/21)*i))/i)/i)/i)**(-2/43) assuming i is positive. i**(38530/9933) Simplify (o/(o*(o*o**(-6/5)*o)/o*o)*o*o**(-7)/o*o**(-1)*o**9*o)**(-27) assuming o is positive. o**(-162/5) Simplify ((f**(1/4)*f**(-1/3))**(-25))**24 assuming f is positive. f**50 Simplify (((o*o**5*o)/o)**(-38))**46 assuming o is positive. o**(-10488) Simplify (h**(1/9)*h*h)/(h*h**3*h*h)*((h/(h*h**(-1/17)*h))/h)/((h*h**(-7/5))/h) assuming h is positive. h**(-3389/765) Simplify (v/(v*v**(-4/7)*v)*v*v**(-2/11))/((v*v**(-4/3))/v*v**(2/29)) assuming v is positive. v**(11080/6699) Simplify ((g/(g/(g/(g**(2/5)*g))))/g)/g*g/g**(-22)*g**(-24)/((g**(-6)/g)/g*g) assuming g is positive. g**(18/5) Simplify (i*i**14*i*(i**8*i)/i)/((i/i**22)/i**(-1/15)) assuming i is positive. i**(674/15) Simplify (i**(2/11)*(i*i**13)/i)/(i**(-10/11)*i*i/(i*i**(3/19))) assuming i is positive. i**(2769/209) Simplify (x**1*x*x)**(-50)*((x/((x*x*x*x*x**(-9))/x)*x)/x)/((x*x**(-2/9))/x) assuming x is positive. x**(-1285/9) Simplify (((v/(v/(((v*v**(3/2)/v)/v)/v)))/v)/(v**(3/11)*v))/(v**(1/3))**(-23) assuming v is positive. v**(323/66) Simplify (k**(-1/3))**(-3)/(k/(k**(-4)/k)*k)**16 assuming k is positive. k**(-111) Simplify (j**2*(j/(j**(-1/11)*j*j))/j)**(-5/11) assuming j is positive. j**(-5/121) Simplify ((f**(-2/9)/f)/f)**(-39)*(f*f**6)**49 assuming f is positive. f**(1289/3) Simplify ((j*j*j**10)/j**(-13))/(((j/(j*j**(-1/7))*j)/j)/(j*j/(j/j**(-11)*j*j)*j*j)) assuming j is positive. j**(104/7) Simplify b**26/(b/(b/b**(2/25)))*b**11/(b*b/(b*b/b**(2/11))) assuming b is positive. b**(10103/275) Simplify (a*a/a**(-4/5)*a*a**(-7))/(a*a*a/((a**4/a*a)/a))**(-42) assuming a is positive. a**(-16/5) Simplify (n**(-17/3)*n*n**(2/15)*n)/(n/((n*(n*n**(-8))/n)/n))**(-4/15) assuming n is positive. n**(-17/15) Simplify ((((h/(h*h**(13/6)*h*h))/h)/h)/h**(8/7))/(h*((h*h**(-16/5)/h)/h)/h)**44 assuming h is positive. h**(37273/210) Simplify ((o**(4/5)*(o/(o/o**0))/o)**(-2/13))**(-5/13) assuming o is positive. o**(-2/169) Simplify (((s**(-4/5)/s*s)/s)**8)**1 assuming s is positive. s**(-72/5) Simplify (((t/(t*t/t**(-5/4)))/t)/(t*t/(t/(t**(1/47)/t*t))*t*t*t*t*t*t*t))**27 assuming t is positive. t**(-57213/188) Simplify (v/(v/(v/(((v*v*v/(v*v**(-2/7)/v))/v)/v))))**(-48)/((v*v/(v*v**(-1/9)))/v**8) assuming v is positive. v**(1298/63) Simplify ((h*h/(h**(-2/5)/h))/h**(-2/3))/(h**(-16/5)/h**(4/17)) assuming h is positive. h**(1913/255) Simplify (((k**16/k)/(k/k**(2/47)*k))**(-1/41))**42 assuming k is positive. k**(-25746/1927) Simplify ((p*p**(-1))/p*p/p**(-32))/(p**(-3/29)*p/(((p*p/(p**(-9)/p))/p)/p)*p*p) assuming p is positive. p**(1134/29) Simplify ((v**(-6)/(v/(v/((v/(v/(v**(-4/11)*v)*v))/v)*v)))/(v**3/v*(v*v/(v*v**(-1/4)))/v))**(-19/2) assuming v is positive. v**(4921/88) Simplify (i*i**(5/3)*i*i**(5/3))/((i/(((i/(i/i**0)*i)/i)/i)*i*i*i)/((i*i/(i*(i**1*i)/i))/i)) assuming i is positive. i**(-2/3) Simplify ((w*w**(-2/25)/w*w**6*w)**(1/46))**(4/5) assuming w is positive. w**(346/2875) Simplify ((z/(z**(2/7)*z)*z**1/z)**(-1))**(1/2) assuming z is positive. z**(1/7) Simplify (a**(1/7))**(24/7)*a*a/(a**(1/5)*a*a)*(a**(4/3)/a)/a assuming a is positive. a**(-277/735) Simplify (q*q**(-5))/q**4*q**(-2/3)*q**(-12)/q*q*q assuming q is positive. q**(-59/3) Simplify ((t**(-1/39)/(t**(4/5)*t))**(-38))**(-3/44) assuming t is positive. t**(-3382/715) Simplify (f**(-2/3)*f)**(6/19)*f*f/(f*f/(f**(-1/8)*f))*f*((f/f**(-1/2))/f*f*f)/f assuming f is positive. f**(529/152) Simplify (d*d**(6/7)/d)**(-25/4)*(d/d**(-1/3))**(1/63) assuming d is positive. d**(-2017/378) Simplify ((t/(t/(t*t**(3/8))))/t)**(2/43)*((t/(t*t*t**(-2/13)))/t)/t*t**(-20) assuming t is positive. t**(-51045/2236) Simplify (p**21*p)/p**(-13)*(p**(-29)/p*p)/(p*p**(3/11)*p*p) assuming p is positive. p**(30/11) Simplify (g**(-3))**(-49)/((g*g*g/(g**(4/15)/g))/g*g*g)**(7/10) assuming g is positive. g**(21553/150) Simplify ((i*i/i**(-26))/i**8)/((i/i**(-6/25))/(i/((i/((i**(-2/5)*i)/i))/i))) assuming i is positive. i**(484/25) Simplify ((x/(x**(1/10)/x))/((x*x**(-2/11)*x)/x))/(x*x**(-4/7)*x/(((x**9/x)/x)/x)) assuming x is positive. x**(4353/770) Simplify (((x/(x*(x*(x*x**7)/x)/x))/x)/(x/(x/(x/(x*x**(-2/33))))))/(x/(x/(x*x**(-3/20)))*x/(x**7/x)) assuming x is positive. x**(-2581/660) Simplify (l**(-1/10)*l*l**17)/(l/(l*l*l/(l/(l*l/l**(-4/5)))*l))**(-16/3) assuming l is positive. l**(-77/10) Simplify (h**(-1/4)*h**(3/4))/(h**3*h/(h*h*h/(h*h*h**(3/2)/h)*h)) assuming h is positive. h**(-2) Simplify (((m/m**9*m)/m*m)/(m/m**11))/(m*m**(2/9)/m*(m**(-4/13)/m)/m) assuming m is positive. m**(595/117) Simplify (m**(-15/8)*m*m*m**(-16))**(26/9) assuming m is positive. m**(-1651/36) Simplify (p/p**(-18))**(-1/43)/(p/p**(-1)*p)**(-3/4) assuming p is positive. p**(311/172) Simplify ((g/(g**(-6)*g))/g**(-7))**(1/51) assuming g is positive. g**(13/51) Simplify (q**14*q/q**25*q*q)/(q/(q**(-27)*q)*q**18) assuming q is positive. q**(-53) Simplify (((c**9)**(-45))**(-10))**(2/3) assuming c is positive. c**2700 Simplify ((l*l/(l*l**(-8/5)))/l)**(1/4)*l**(-39)/(l/(l*(l**(-8/3)/l)/l)) assuming l is positive. l**(-649/15) Simplify (y*y**(-2/31)*y*y/(y*y/((y**(1/24)/y)/y)))/(y**(-20)*y*(y**12*y)/y) assuming y is positive. y**(4447/744) Simplify ((f**(-3/7)/f)/f*f*f*f*f**(2/21)*(f/(f*f/(f/(f*((f/f**1)/f)/f)))*f*f*f)**(-1/3))**25 assuming f is positive. f**(-50/3) Simplify (k**(2/25)/k**(-12))/(k**16*k*k*k**(1/22)) assuming k is positive. k**(-3281/550) Simplify ((t**(-1/28)/t)/t*t*t**2)/((t/t**0)/(t*t/(t/t**(-12)))) assuming t is positive. t**(-309/28) Simplify (d/d**(-3/2))**(-44)/((d/((d*((d*d**(3/7)/d)/d)/d)/d)*d*d)/(d**7/d*d)) assuming d is positive. d**(-753/7) Simplify (w**5)**(-33)/(w**(-1/9))**(1/20) assuming w is positive. w**(-29699/180) Simplify (p**25/p)/p**(1/11)*(p*p**(-13))/p**33 assuming p is positive. p**(-232/11) Simplify (((i*i**8)/(i*i**5))/(i**(-2/11))**(-16))**12 assuming i is positive. i**(12/11) Simplify (a**(1/3))**(-5/11)/(((a**(6/11)/a)/a)/a**(-14)) assuming a is positive. a**(-419/33) Simplify (y**0)**(-5/6)*(y/y**(2/5))**13 assuming y is positive. y**(39/5) Simplify v**(-4/3)/v*v/(v**(-7/5)*v*v)*v**4*v**(-2/27)*v assuming v is positive. v**(404/135) Simplify c**(5/4)*c**(-2/11)*(c**(-2/5))**(-15/8) assuming c is positive. c**(20/11) Simplify ((p**1)**(-1/13)*p**(-4)/p**(-8))**9 assuming p is positive. p**(459/13) Simplify (p/(p**(1/6)*p*p)*p)**(2/59)*p/(((p*p**(-6)/p)/p)/p)*p**10 assuming p is positive. p**(3362/177) Simplify (((m*m**(1/8)/m)/m)/m)/m*m/(m**(3/7)*m)*(m*m**(1/4))**(-2/21) assuming m is positive. m**(-575/168) Simplify (l**2*l**(-8/7)/l)/(l**12*l/l**(-4)) assuming l is positive. l**(-120/7) Simplify ((k*k**17*k)/k)/(k/k**23)*k**25/(k/k**(10/7)*k) assuming k is positive. k**(451/7) Simplify d*d**(-9/4)*d**(-5/6)*d*(d**(2/9)/d)/d**(3/4) assuming d is positive. d**(-47/18) Simplify (((o**(1/64)/o*o)/o)/o*o**(-3/8))/((o**(-5/9)*o)/o**10) assuming o is positive. o**(4145/576) Simplify (i/(i/i**(-6/17)))/(i/i**(4/7))*(i**(-2/5)*i*i)**(-2/79) assuming i is positive. i**(-38639/47005) Simplify (z/z**(-3/7))**16*z/((z*z*z*z/z**(-1/10)*z*z*z)/z)*z/(z*z/(z*z/z**(-2/33))) assuming z is positive. z**(43469/2310) Simplify ((p/(p**(2/35)*p))/((p*p/(p*((p**(-4)/p)/p)/p*p))/p))/(((p/p**(2/71))/p*p*p)/p*p/p**(2/41)) assuming p is positive. p**(-813062/101885) Simplify (g**(1/7)/g)**19*(g*g**(-2))/g**(2/3) assuming g is positive. g**(-377/21) Simplify (f**2/(f*(f*f*(f/(f*f/((f**(19/2)/f)/f)))/f*f)/f))**(-2/3) assuming f is positive. f**(13/3) Simplify ((l*l**(-1/2))/l)/(l*l**(-3)/l*l)*(l**(2/13)*l)/(l**(-12)*l*l) assuming l is positive. l**(329/26) Simplify (d*d**(-26)*d*d*d**(-7))/((d**20*d)/d*d/(d*d*d*d**(2/29))) assuming d is positive. d**(-1390/29) Simplify (z**(2/5))**(-1/11)/((z**(-8)*z)/(z*z*z*z/((((z*z*z**(-8))/z)/z)/z))) assuming z is positive. z**(1098/55) Simplify (f*f*f/((f**(19/4)*f*f)/f)*f)**41/(f**(-18/5)*f**(-2/95)) assuming f is positive. f**(-25889/380) Simplify k/(k**(3/7)*k)*k**(-2/17)*k
{ "pile_set_name": "DM Mathematics" }
-7*o - z. Suppose 2*n + 2*w = 5*w + 21, 2*n = -4*w. Suppose 49 = n*j + j. What is the remainder when o is divided by j? 6 Suppose 5*q = 2*q + 255. Let a = 6523 - 6523. Suppose -q = -a*k - 5*k. What is the remainder when 25 is divided by k? 8 Suppose -l + 60 + 59 = 99. What is the remainder when (-8)/(-10)*845/2 is divided by l? 18 Let f(g) = -2*g**3 + 52*g**2 + 50*g + 162. Calculate the remainder when f(27) is divided by 23. 8 Suppose 4*q - 56 = -5*d + 76, 2*d = -q + 51. Calculate the remainder when d is divided by 9. 6 Suppose 0 = 5*u + 5*l - 7854 + 2484, -4*l = -2*u + 2160. Calculate the remainder when u is divided by 36. 32 Suppose -54*g + 52*g = -5*m - 25, -5*g = -4*m - 88. Suppose -3*s + 3*c = -246, 0 = 4*s + g*c - 21*c - 337. What is the remainder when s is divided by 23? 16 Let g(i) = 7*i + 9. Let y be g(7). Let f = y - 32. Let p(k) = -k**3 + 10*k**2 + 41*k - 402. What is the remainder when p(9) is divided by f? 22 Let i = 28 - 9. Suppose -5*r - 10 = -o, -5*r - 5*o = 21 + i. What is the remainder when 94 is divided by r/6*(1 + -65)? 30 Suppose 3*f - 12 = -2*m, 4*f + m - 7 = 2*f. Suppose -39 = 3*n - 30, f*j = -4*n + 68. What is the remainder when 155 is divided by j? 35 Let u be (510/(-40))/((-3)/((-24)/(-2))). Suppose -u*m = -625 + 115. Calculate the remainder when 699 is divided by m. 9 Let y = 13237 + -7500. Calculate the remainder when y is divided by 140. 137 Let l(g) = 0*g + 2 + 3*g + g**2 - g. Suppose p + 2*r - 50 = 0, -26*r + 242 = 4*p - 24*r. What is the remainder when p is divided by l(-5)? 13 Let b(h) = -2*h - h**3 - 2 - h - 3 - 6*h**2 + 2. Calculate the remainder when -3 + 6 + 0 + 55 is divided by b(-6). 13 Let c = -36116 + 36409. What is the remainder when 44240 is divided by c? 290 Suppose 2*q - 5*i - 82 = 0, q - 5*i - 33 = 18. Let r = -523 + 567. Suppose 2*k - 8 = -2*u, 5*u - 12 - r = 4*k. Calculate the remainder when q is divided by u. 7 Let y = -9 - -12. Let z = 22 - y. Let t = 12 + z. What is the remainder when t is divided by 16? 15 Let y(z) = -4*z + 122. Let p be y(25). Calculate the remainder when (p/10 + 1)/(7/350) is divided by 41. 37 Let h be ((-5)/(-2))/5*0. Suppose 4*w + h*w = 12. Suppose -a + w*t - 2 = 0, 16 = 5*a - 2*a + 2*t. Calculate the remainder when 15 is divided by a. 3 Let z be 28/6 - ((-24)/(-9) + -3). Suppose 0 = 5*r + 2*t - z*t - 366, r = 3*t + 78. Calculate the remainder when r is divided by ((-38)/(-4))/(15/30). 15 Let a = -9560 + 11191. What is the remainder when a is divided by 542? 5 Let u(q) = -62*q - 6. Let r be u(-1). Calculate the remainder when 83 is divided by -2 + 226/14 - 8/r. 13 Calculate the remainder when 183 is divided by (1 + -256)/(199 + -202). 13 What is the remainder when 3332 is divided by (-132)/16*(30/18 + -3)? 10 Suppose 21*d + 3 = 24*d. Let t be d/3*(-8)/((-48)/54). Calculate the remainder when 4 + 153 + (0 - t) is divided by 13. 11 Suppose 4*i - 431 = -u + 255, 0 = -5*i + u + 853. Calculate the remainder when 0 - i/(-6)*4 is divided by 33. 15 Let u = 65 + -35. Let i(w) = 11*w**2 + 9*w + 4. Let c be i(-5). Calculate the remainder when u is divided by 7/(105/6) + c/15. 14 Suppose 11 + 1 = 7*d - d. What is the remainder when 123 is divided by d? 1 Let h(o) = 13 - 98 - 19 - 19 - 81 + 17*o. Calculate the remainder when h(18) is divided by 10. 2 Let b(h) = -h**3 - 10*h**2 + 2*h - 6. Let f be b(-9). What is the remainder when 16/10 - 6867/f is divided by 52? 15 Suppose -h + 11 = 4*w, 9*h + 93 = 14*h + w. Suppose 0 = -0*t + 3*t. Suppose -6*z + 8*z - 184 = t. What is the remainder when z is divided by h? 16 Let b(o) = -5*o**3 - 5*o**2 - o + 1. Let c be b(-2). Suppose c*i = -13 + 197. Calculate the remainder when 39 is divided by i. 7 Let i be (-2)/(-3)*21/(-28)*0. Suppose 12*m - 9*m - 180 = i. What is the remainder when 236 is divided by m? 56 Suppose 14*n = -151 + 5093. Calculate the remainder when n is divided by 24. 17 Let h = 67 + -49. Let n be (-1012)/h + 10/45 - 3. Let d = n + 80. Calculate the remainder when 125 is divided by d. 20 Let f = -32 - -57. Suppose 4*z - 5*z + 4*p - 64 = 0, -5*p - f = 0. Let k = z - -97. Calculate the remainder when 34 is divided by k. 8 Let y = -418 + 421. Suppose -y*w - b - 2*b + 24 = 0, 5*w - 4*b - 49 = 0. Calculate the remainder when 29 is divided by w. 2 Suppose 5*b + 3 - 38 = 0. Let x be 554/16 - (-540)/1440. What is the remainder when 6 is divided by 115/x + (-2)/b? 0 Suppose 61*q - 20 = 66*q, 5*k - 228 = 2*q. What is the remainder when 8535 is divided by k? 43 Let w be (2 - 789/15) + (-6)/15. Let u = w + 231. Let p = u - 131. What is the remainder when p is divided by 13? 10 Let b(g) = g**3 + 8*g**2 - 139*g - 38. Calculate the remainder when 335 is divided by b(9). 71 Let c = 1799 - 1633. Calculate the remainder when c is divided by 6. 4 Suppose 0 = l + 2*i + 162, -2*l - 141 - 178 = 5*i. Let h = 11 - l. Calculate the remainder when h is divided by 48. 39 Let j = 119 - 60. Let r = -5255 + 5319. Suppose j*m = 61*m - r. What is the remainder when 158 is divided by m? 30 Suppose 2*o - 7*s - 7 = -2*s, -4*o + 5 = -s. What is the remainder when 129 is divided by (312/120)/(o - 4/5)? 12 What is the remainder when 115 is divided by (-96)/(-16) - (2 - (12/(-6) + 7))? 7 Let n(b) = 4*b + 69 + 7*b - 34*b + 15*b. Calculate the remainder when 49 is divided by n(5). 20 Let o be 2/8 - 195/12. Let s(c) be the second derivative of c**3/6 + 21*c**2/2 - 62*c. Calculate the remainder when 34 is divided by s(o). 4 Suppose 5*l - 2*h - 3713 - 308 = 0, 4*h = 8. What is the remainder when l is divided by 74? 65 Suppose 364*v - 352*v - 4920 = 0. Calculate the remainder when v is divided by 69. 65 Let n(k) = 5 + 2*k**3 + 24 + 2*k + 40 + 2*k**2. Calculate the remainder when n(0) is divided by 22. 3 Suppose 25 = 2*t - 5*u - 46, 4*t - 112 = 4*u. Suppose 14*h - 64 - 488 - 582 = 0. What is the remainder when h is divided by t? 12 Let o = 1204 - 731. Suppose -8*f + 108 - 25 = 3*u, 63 = 3*u + 3*f. What is the remainder when o is divided by u? 14 Suppose -1354 = -10*a - 2*q, a - 73 = -3*q + 68. What is the remainder when a is divided by 23? 20 Let o(h) = 10*h**2 - 8*h - 2. What is the remainder when o(8) is divided by 121? 90 Suppose -17*j + 24*j + 167 = 4*a, -4*a + 127 = j. Calculate the remainder when 7457 is divided by a. 32 Suppose 0 = -176*z - 53*z + 4809. Calculate the remainder when 1426 is divided by z. 19 Suppose 3*x - 2*x + q = 7, -3*x + 5*q + 5 = 0. Calculate the remainder when 11*4 + (x + 0)/(-1) is divided by 21. 18 Suppose 0 = -44*x + 46*x + 8, 2*x - 157 = -5*w. Suppose 1638 = w*f - 19*f. Calculate the remainder when f is divided by 11/(-4)*1*-4. 7 Suppose -5*i + 3*y = -227, 7 + 127 = 3*i - 4*y. Let r = -52 + i. What is the remainder when 151 is divided by (-88)/r*3/2? 19 Let g(f) = -11*f**3 - 105*f**2 - 11*f + 30. Calculate the remainder when g(-11) is divided by 110. 107 Suppose 0 = 2*l + 4*b - 66, 5*l + 4*b + 42 = 171. Suppose 4*h + 8 = 5*h. What is the remainder when l is divided by h? 5 Let d be (5 - 5) + 40 - 4/(-2). Calculate the remainder when 156 is divided by d/(-189) - 492/(-27). 12 Suppose -3*i = 5*t + 4, -3*i + 0*t + 10 = -2*t. Suppose p + 103 = 2*x, i*x = 7*p - 3*p + 94. What is the remainder when x is divided by 23? 7 Suppose 0 = -5*l + 19 + 81. Suppose -p + 9 = -2*m, 5741 = -p + 4*m + 5742. What is the remainder when l is divided by p? 3 Let d = 5 - -2. Suppose -212 = -5*n + a, n - 674 + 614 = -2*a. What is the remainder when n is divided by d? 2 Let b = -9439 - -9549. What is the remainder when b is divided by 102? 8 Let i(h) = -10*h**3 + 9*h**2 - 2. Let l be i(3). Let t = -99 - l. Suppose -3*o = -2*r - t, -o + 28 = -r - r. Calculate the remainder when o is divided by 9. 5 Suppose -c + 4*v + 204 = 0, 2*v + 233 + 339 = 3*c. Let h = -16 + 35. What is the remainder when c is divided by h? 17 Suppose h - 6*h = -4*t + 280, 317 = 5*t + 2*h. What is the remainder when 674 is divided by t? 24 Let a = 100 + -55. Let p = a - 27. Suppose -35 = -5*i - 3*d, 3*d - p + 3 = 0. What is the remainder when i is divided by 4? 0 Let g = 402 - 264. Let d = g - 127. What is the remainder when d is divided by 3? 2 Let k be 26/(-52) - (-5)/2. Suppose -d + 28 = k. Let a(g) = g**3 - 6*g**2 + 10*g - 7. Calculate the remainder when d is divided by a(5). 8 What is the rem
{ "pile_set_name": "DM Mathematics" }
- 5 = 0. Calculate the highest common factor of 4 and g. 1 Let w(p) = 22*p - 5. Let g be w(5). Calculate the greatest common divisor of 42 and g. 21 Let u = -2 + -1. Let a(i) = -i**3 - 3. Let o be a(u). Calculate the greatest common factor of o and 16. 8 Suppose -12 - 18 = -3*d. Suppose -2*c - 2*c = 356. Let q = -49 - c. What is the greatest common divisor of d and q? 10 Let m = 0 - -8. Let d = 47 - -9. What is the highest common factor of m and d? 8 Let p = 108 - 81. Calculate the highest common divisor of 81 and p. 27 Let p be -2 + (6 - -1)*41. Suppose -5*b + 2*b + p = 0. Calculate the highest common factor of b and 19. 19 Suppose -16 = p - 3*p. Calculate the greatest common factor of 12 and p. 4 Suppose 4*v - 23 = 233. Calculate the greatest common factor of 16 and v. 16 Suppose a - 6 = -2*a. Let h be 3*(105/(-9) + 1). Let b = h + 54. What is the highest common divisor of a and b? 2 Suppose -5*z - 26 = -4*v + 5, -4*v - 5*z = -1. Calculate the greatest common divisor of 2 and v. 2 Suppose -68 = -5*y + 67. Suppose 2*u - r = y, 2*u - 3*r - 7 - 10 = 0. Calculate the greatest common factor of 176 and u. 16 Suppose t - 4 = -3*t. Let g be (-108)/t*2/(-4). What is the highest common divisor of g and 6? 6 Let q = -5 - -9. Suppose q*g - 12 = -0*s - 5*s, 0 = -s. Calculate the highest common factor of g and 15. 3 Let f(a) = 2*a - 4. Let h be f(3). What is the greatest common factor of 2 and h? 2 Let o = -5 - -11. Let r(h) = -15*h + 156. Let q be r(10). Calculate the greatest common factor of q and o. 6 Suppose 5*b = -0*b. Suppose -210 = -b*a - 5*a. Calculate the highest common factor of a and 6. 6 Suppose 2*y = -5*x + 59, 3*x + 5*y = 2 + 22. Suppose -3*z = -x - 59. Calculate the greatest common factor of 8 and z. 8 Suppose 2*o - 23 = 17. Let t(q) = 54*q**2 + 4. Let c be t(2). Calculate the highest common divisor of o and c. 20 Suppose 13 = -2*a + 39. Suppose -65 = -0*r - 5*r. What is the highest common divisor of r and a? 13 Let z(i) = -4*i - 7. Let h be z(-3). Let s be 1/(-3) + 469/21. Suppose 4*n + 3*v - 28 = 0, -3*n = 3*v - v - s. What is the highest common divisor of n and h? 5 Let x(n) = -n**3 + 7*n**2 - 5*n + 7. Let u be x(6). Calculate the greatest common divisor of 13 and u. 13 Suppose -n - 87 = -5*k, 5*n + 2*k + 515 = 7*k. Let z be 5/30 + n/(-6). What is the highest common factor of 6 and z? 6 Let i be (-5)/(-20) - 35/(-4). Let g = i + -8. Let f(b) = b**2 - b + 9. Let o be f(0). What is the highest common factor of g and o? 1 Let i = 87 - 83. Calculate the highest common factor of i and 36. 4 Suppose -5*z - 4 = -19. Calculate the greatest common factor of z and 3. 3 Let w = 321 + -221. Calculate the greatest common factor of 20 and w. 20 Let w(i) = -i**3 + 4*i**2 + 27*i + 2. Let z be w(7). Calculate the highest common factor of 66 and z. 22 Suppose -314 = 3*f - 38. Let b be (2 + 143 + -3)*1. Let o = b + f. What is the greatest common factor of o and 10? 10 Suppose -2*s + s = -2. Suppose -s*r + 0*r + 10 = 0. Let v be (3 - 4) + 1 + 1. Calculate the highest common divisor of r and v. 1 Let d(w) = -2*w**3 - 22*w**2 + 12*w - 12. Let l be d(-12). What is the greatest common divisor of 12 and l? 12 Let g = -12 + 66. What is the greatest common factor of g and 6? 6 Suppose -5*f = -4 - 16. Suppose h = -0*h + f. Suppose -2*z + 2*p = z - 220, -2*z = -h*p - 160. Calculate the highest common divisor of z and 10. 10 Suppose -2*u - 21 = -4*k - u, -2*u = k - 12. Let z be -1 + -2 + 1 + k. Suppose -o + 10 = -a + 30, 88 = z*a - 2*o. What is the greatest common factor of 8 and a? 8 Let b(k) = -6*k - 52. Let o be b(-15). What is the highest common factor of o and 95? 19 Let m = -53 + 80. What is the highest common divisor of 18 and m? 9 Suppose 0 = -4*y + 207 - 71. Calculate the highest common divisor of 17 and y. 17 Suppose -p + 4 = -26. Calculate the highest common divisor of p and 18. 6 Suppose -5*r - 2 = -7. Calculate the highest common divisor of r and 1. 1 Let v = -3 + 3. Suppose -5*a = b - 74, v = -b - 2*a + 74 - 6. Suppose -5*l - 3*t = -0*t - 79, -4*l - 2*t = -b. What is the greatest common divisor of l and 119? 17 Suppose -12*u = -9*u - 15. Calculate the highest common divisor of 20 and u. 5 Let y = -21 - -24. Calculate the highest common divisor of y and 21. 3 Let n = 9 - -8. Suppose 4*p - 186 = p. Let w = p - n. Calculate the highest common factor of w and 5. 5 Suppose -v - 4*v + 1035 = 0. Calculate the highest common factor of v and 23. 23 Let x be (-12)/42 + 821/7. Calculate the highest common divisor of x and 9. 9 Let g be 1/((-6)/(-200))*3. Suppose -m - m = -g. What is the highest common factor of m and 20? 10 Let r(b) = b**3 - 9*b**2 + 10*b - 1. Let z = -14 + 22. Let s be r(z). What is the highest common factor of s and 30? 15 Suppose 0 = -5*k + 2*u - 75, 3*k - 5*u = -28 - 36. Let t(j) = j**2 + 12*j + 3. Let c be t(k). What is the highest common factor of c and 40? 8 Suppose 6 = u + 3. Suppose -u*i + 10 = -8. What is the highest common divisor of 24 and i? 6 Let y(a) = -a**2 + 5*a + 6. Let l be y(5). Calculate the greatest common factor of l and 48. 6 Let h = -3 - -3. Let m be (-6)/3 + 9 + h. Let b = 112 - 49. What is the highest common divisor of b and m? 7 Suppose 5*m + 4*i = 30, m + i - 9 = -m. Calculate the highest common factor of 18 and m. 2 Let y = -2 + 4. Let p(n) = -189*n**3 - n + 3*n**y - 1 - 3*n**2. Let v be p(-1). Calculate the highest common factor of v and 21. 21 Let u be (-1 + 1)/(1 + -3). Suppose 4*c - 5 - 11 = u. Suppose 0 = 4*q + 2*p - 74, -3*p - 21 = -2*q + 28. What is the greatest common factor of c and q? 4 Suppose -10 = -5*v + 40. Calculate the highest common divisor of v and 10. 10 Let f(i) = i**3 + 8*i**2 - 8*i - 10. Let c be f(-8). Suppose -b + 5*o = -21, 2*b - 35 = 5*o - 8. What is the highest common factor of c and b? 6 Suppose r = -d - 23, r = 5*r - 12. Let p = 35 + d. Calculate the highest common factor of p and 27. 9 Suppose 0 = 5*s - 42 - 33. Suppose -14*m + 12*m = -10. What is the highest common factor of m and s? 5 Let j be 15/(-10)*4/6. Let m be (0 - j)/(5/200). Suppose -20 = -2*v - r + m, 5*v - 3*r = 172. Calculate the highest common divisor of v and 8. 8 Let k be 1 + -1 + 1 - -8. Let v be (-4 + 9)*6/5. Suppose -i + v = i. Calculate the greatest common divisor of k and i. 3 Let h = -18 + 63. Let u be (-3)/(-4)*(28 + -4). Let l = u - 9. Calculate the highest common divisor of l and h. 9 Suppose r + 4*x + 4 = 0, 3*r - 2*x = x + 33. Suppose -4*f + 8 - 4 = 0. Calculate the highest common factor of f and r. 1 Suppose 2*u - 46 = -4*f - 8, -f = -u - 17. Calculate the greatest common factor of f and 24. 12 Suppose -9*g + 594 = -0*g. Calculate the highest common factor of 165 and g. 33 Let k(o) = 13*o**3 - 2*o**2 + 1. Let v be k(1). Suppose -h + 12 = h. Calculate the highest common factor of v and h. 6 Let b(w) = w**3 + 14*w**2 + 13*w + 18. Let j be b(-13). What is the greatest common factor of 18 and j? 18 Let q(c) = 29*c**2 + c. Let n be q(1). Let l(u) = 2*u**3 - u**2 + 2*u. Let a be l(4). What is the highest common factor of n and a? 30 Let y be (-4)/(-40)*238 - (-3)/15. Calculate the greatest common factor of y and 6. 6 Let n(a) = -a. Suppose 0 = 8*b - 9*b - 3. Let h be n(b). Calculate the highest common factor of h and 1. 1 Suppose -2*m + 4 = -10. Suppose 3*g - m = -1. Suppose 75 = -g*t + 3*t. What is the highest common divisor of t and 15? 15 Let g(m) = -m**2 - 13*m - 30. Let j be g(-7). Calculate the greatest common divisor of j and 3. 3 Suppose -3*w + 18 = -0*w. Suppose 4*y - w = 2. Let g = -13 + 31. What is the greatest common factor of y and g? 2 Let q be (-3 - -4)*(-1 - -4). Suppose q*o - 5*l = o + 81, 0 = 4*l + 20. What is the greatest common divisor of o and 28? 28 Let u(b) = b**2 - 9*b - 7. Suppose 0*l = -2*l + 12. Let o be u(l). Let i = o + 47. Calculate the greatest common divisor of 2 and i. 2 Let q be ((-56)/(-10))/(2/55). Suppose -5*a = 3*g - 736, -a = 3*g - q - 574. Let l be 4/18 - 196/(-9). What is the highest common divisor of g and l? 22 Suppose 2*r = 4*r - 10. Suppose r*d - 33 = -3*g + 36, -4*g + d = -69. What is the highest common divisor of g and 12? 6 Let l = 137 - 49. What is the greatest common divisor of 11 and l? 11 Suppose 0 = -3*f - 12 + 30. What is the greatest common divisor of 30 an
{ "pile_set_name": "DM Mathematics" }
e a(r)? True Let m(j) = 33*j - 1. Let x be m(5). Suppose 0*v - x = -2*v. Suppose 3*u - v = -0*h - 2*h, -4*u = 8. Is 22 a factor of h? True Suppose 0 = -3*i + 5*i. Suppose -3*v + i*v = 240. Let c = -45 - v. Is c a multiple of 17? False Suppose -3*l + 25 = 5*z, 2*l + 5*z - 55 = -3*l. Suppose w - 5*j - 21 - 12 = 0, l = w + j. Is 50/(-4)*w/(-15) a multiple of 15? True Let u(f) = f**2 - 11*f + 14. Let k(z) = -2*z**2 + 11*z - 15. Let p(t) = 2*k(t) + 3*u(t). Let c be p(-12). Suppose 0 = 4*l - c*l - 40. Is l a multiple of 4? False Let m(p) = p**2 + p - 31. Let r be m(8). Let d = -26 + 9. Let u = d + r. Is u a multiple of 8? True Let x(t) = t**2 - 8*t - 3. Let h be x(9). Suppose 3*i = w - 66, 3*w = h*i - 2*i + 188. Is w a multiple of 17? False Let a be 2331/14 + (-2)/(-4). Let n = 279 - a. Suppose 3*h = r + 154, 3*h + 4*r = h + n. Is 13 a factor of h? True Let x(p) = p**2 + p. Let n be x(0). Suppose n = -4*i + 6*i + 26. Let g = -3 - i. Is g a multiple of 10? True Suppose -5*p + 13 = -o + 135, 4*p = -2*o + 202. Suppose 5*i + o = 3*r, r - 4*i = -2*r + 103. Does 23 divide r? False Let t be ((-2)/(-7))/(6/42). Is 2 a factor of (t - 2) + 3 - 1? True Let k(s) = s**3 - 1. Let a be k(1). Let x(q) = 7 - 8 - 35*q + a. Does 17 divide x(-1)? True Let h be 22/6 + 10/30 + -9. Does 23 divide -2*(-4)/(-8)*(-97 - h)? True Suppose -2*f + 0*f = 1500. Let a = f - -1162. Is 23 a factor of a*-4*2/(-32)? False Let v(x) = 2*x**2 + 26*x + 3. Let o be v(-13). Suppose -q = -o*a - 3*q + 179, -4*q + 181 = 3*a. Is 6 a factor of a? False Let j(y) be the third derivative of 8*y**5/15 - y**4/6 - y**3/3 + 18*y**2. Is 23 a factor of j(-2)? False Let m = 199 + -176. Does 4 divide m? False Is 7 a factor of ((-24)/(-5))/(-4)*35/(-3)? True Let c(f) = -f**2 - 9*f - 6. Let b be c(-6). Let t(l) = 4*l**3 - 2*l. Let v be t(2). Does 8 divide (b/(-8))/((-2)/v)? False Let h(g) = -g - 48. Let u be h(-10). Is u*3*6/(-18) a multiple of 38? True Suppose -2*j + 800 = -m + 3237, -4*m + 9760 = -2*j. Does 20 divide m? False Let v be 1046/10 + (-15)/25. Let i be 9/1 - (-12)/(-4). Suppose i*q - 2*q = v. Is q a multiple of 14? False Suppose 4*x + 2*d - 9209 = 467, -5*d + 12095 = 5*x. Is 41 a factor of x? True Suppose 0 = 2*a - 3*a - 5*q + 1927, -5*a = -4*q - 9664. Does 14 divide a? True Let u(n) = 10 - n + 8*n + n**2 - 2*n. Let z(j) = j**3 - 14*j**2 + 14*j - 17. Let t be z(13). Is u(t) a multiple of 2? True Is 9 a factor of ((-387)/4)/((-40)/160)? True Suppose 492283 + 9203 = 159*b. Does 48 divide b? False Suppose 0 = -2*r + r + 98. Let o(d) = -d**3 - 5*d - 14. Let s be o(-2). Suppose -s*b - r + 378 = 0. Is b a multiple of 31? False Let h = -20 - -26. Suppose 5*a = 4*w - 2, w + 2*a + 11 = h*w. Does 2 divide w? False Let a be ((-896)/(-12) + 0)*18. Does 7 divide 2/15 - a/(-45)? False Is 4 a factor of -1*((8 - 115) + (3 - 0))? True Let h(v) = v**2 + 12*v + 8. Let y be h(-11). Let i be 2/(-4)*(3 + y). Suppose i*p + 156 = 2*p. Does 20 divide p? False Let c be ((-2)/(-2) - 2) + 2. Let f(i) = 2*i + 23. Let k be f(13). Is 12 a factor of (0 + k - 0) + c? False Suppose -w = -3*w + 102. Let j be w*(-2 + (-10)/(-6)). Let p = 39 - j. Is 17 a factor of p? False Let q(d) = -d**2 + 8*d - 7. Let x be q(10). Let s = -8 - -2. Is 15 a factor of (-178)/s - 9/x? True Suppose 0 = -51*q + 121724 + 4246. Does 38 divide q? True Let d = -827 + 1805. Is 5 a factor of d? False Let l be (21/14)/((-6)/(-128)). Let h = -23 + l. Does 3 divide h? True Let n(z) = 5*z**3 + 5*z - 3. Let y be n(2). Suppose -3*m + y = -7. Does 6 divide m? True Let k(m) = 279*m + 7. Is 13 a factor of k(1)? True Let o(m) = m**3 - m**2 - 1. Let q be o(2). Suppose 0 = 2*x - 5*t - 3, t - 1 = 0. Suppose x*c + 4*w = 200, -246 = -8*c + q*c - 3*w. Is c a multiple of 20? False Is ((-10)/30)/((-2)/1596) a multiple of 8? False Let v = 128 + -59. Is v + 0 - (-21 + 23) a multiple of 14? False Let t = -10 - -12. Suppose -t*a = -4*a - 68. Let l = a + 52. Does 6 divide l? True Let t(l) = -l**3 - 5*l**2 - l + 9. Let i be t(-5). Let b = i - -1. Does 5 divide b? True Suppose 0 = -5*a - 4*t + 907 + 1173, 4*a = -5*t + 1664. Is 52 a factor of a? True Is 80/1 - (-16 - -24) a multiple of 18? True Let l(o) = o**3 - 8*o**2 - 11*o + 5. Let v be l(8). Suppose 0 = -2*d - 3*g - 301, -312 = 2*d - g - 23. Let m = v - d. Is m a multiple of 21? True Let u(o) = -o**3 - 10*o**2 - 8*o + 13. Let g be u(-9). Suppose -8 = 5*s + 7, -g*q + 411 = 3*s. Is q a multiple of 15? True Let v be (4 - 43)/(-3) + -3. Suppose -d + 22 = -v. Is 22 a factor of d? False Let s(t) = -t**3 + 11*t**2 - 9*t - 16. Let q be s(10). Is 19 a factor of -13*q/9*15? False Let t = 42 - 14. Suppose 0 = 2*j - 26 - t. Is j a multiple of 6? False Let k = 11 - 0. Let s = k + -10. Is 25 - 1 - s/1 a multiple of 14? False Let t(h) = -h**3 + 19*h**2 - 10*h + 34. Is t(9) a multiple of 13? True Let l be 9/(-3) - 114 - 0. Let n = -77 - l. Is n a multiple of 15? False Suppose 7*m = 2072 + 3248. Is 5 a factor of m? True Suppose 0 = 6*g - 257 + 29. Suppose -11*r + g = -10*r. Is 7 a factor of r? False Let v = 83 - 111. Does 27 divide -4 - 22*v/8 - -3? False Let t(c) = -c**2 - 5*c + 2. Let l be t(-5). Let g be ((-164)/(-6))/(l/9). Suppose -g = -3*k - 3*z, -2*z = -4*k - 44 + 214. Is 9 a factor of k? False Let n = -397 + 587. Is n a multiple of 38? True Suppose -54 = f - 3*f. Suppose 0 = 26*t - f*t + 49. Does 10 divide t? False Is 9 a factor of 3026/16 - (231/56 + -4)? True Does 3 divide (-8 - 344/(-40)) + 72/5? True Let p(n) = -8*n**3 - 2*n**2 + n + 2. Let k(y) = -y**3 + 2*y**2 + 8*y + 2. Let g be k(4). Suppose -2*b + 6 = -2*j, -b - 3*b = g*j. Does 14 divide p(j)? True Let r be (-30)/75*(-10)/4. Suppose -5*v - x = 10, 4*v + 4*x + r + 7 = 0. Is 17 a factor of (v - -4)*19 + -4? True Suppose 0 = -3*m + 43 - 28. Suppose 3*y = -m*u + 660, 5*u - y - 850 = -210. Does 31 divide u? False Suppose -3*v = -0*v. Suppose -21*t + 11*t + 1850 = v. Does 30 divide t? False Does 4 divide -2 + (-271)/(-1) - (-20 - -24)? False Suppose 29*l - 39*l = -2460. Is l a multiple of 36? False Let a be (-34)/(-187) - 334/22. Let h = -35 - -22. Let g = h - a. Does 2 divide g? True Does 14 divide -3*21/(-7) - -5? True Suppose -5*h = -79 + 9. Let f(x) = x**2 - 14*x + 4. Let j be f(h). Suppose y - j = 40. Does 14 divide y? False Let z(h) = 18*h**2 + 31*h + 67. Is z(-11) a multiple of 68? True Let z = 165 - 152. Is z a multiple of 2? False Suppose -5*m + 21 = 6. Suppose 3*v = 12, 24 = -a + 4*a + m*v. Is a/22 - (-317)/11 a multiple of 14? False Suppose 0 = -0*x + 4*x - 12. Suppose -5*c - 71 = 4*l, -x*l + 27 + 21 = -3*c. Let r = 75 + c. Is 20 a factor of r? True Let k = 444 - 189. Let b = -146 + k. Is 19 a factor of b? False Suppose -3*k = s - 8, -11 = -2*k + 3*s + 2*s. Let u(r) = r - 6. Let y be u(k). Is (y - -11)*(-35)/(-4) a multiple of 28? False Suppose s = 6*s - 4*z - 129, 4*z + 100 = 4*s. Is 5 a factor of s? False Let o(b) = -6*b**3 - 1 + 13*b**3 + 5*b**2 - 8*b - 6*b**3. Let r be o(-6). Suppose -4*h + 2*i + 1 = -r, 2*i = 8. Is 2 a factor of h? False Is 51 a factor of 2396*(-4 + 81/18)? False Is 6 a factor of (234/(-10))/((-14)/140)? True Suppose 0 = -2*i - 5*h + 14, 18 = 5*i + 4*h. Suppose -2*v - 92 = -c - i*c, 4*c - 5*v - 125 = 0. Let t = 74 - c. Is t a multiple of 11? True Let t = 25 - 27. Is (-2 - (-11)/4)/(t/(-32)) a multiple of 6? True Suppose 0 = 4*b + 45 - 237. Does 25 divide (3 - 2) + 1 + b? True Suppose 22*v - 285 = 17*v. Suppose v + 12 = 3*g. Is 5 a factor of g? False Let c(s) = 147*s**2 + 13*s - 14. Is 12 a factor of c(2)? True Let m(y) = y**2 + 13*y + 11. Let d be m(-13). Suppose 5*q + 354 = d*q. Is 7 a factor of q? False Suppose -6 = -4*j + 2. Suppose j*i - 10 + 0 = -p, 0 = -p - 3*i + 15. Suppose p = -6*t + 164 + 112. Is 11 a factor of t? False Suppose -5*z = 3*b + 486, 162 = -b + z + 3*z. Let r = b - -348. Does 22 divide r? False Suppose -3*j + 27 = d, -2*j - d = 3*j - 45. Suppose 3*i - j = -0*i. Let r = 5 + i. Does 5 divide r? False Let k = 35 - -191. Let b = k - 114. Does 14 divide b? True Suppose -217 + 55 = -6*k. Does 3 divide k? True Suppose 109 + 1 = -5*c. Let n be 130/(-11) - c/(-121). Let m = n + 22. Does 5 divide m? True Let f(x) = 12*x + 34. Let d be f(3). Let r = -61 + d. Does 9 divide r? True Let g(f) be the second derivative of 4*f - 4*f**2 + 5/6*f**3
{ "pile_set_name": "DM Mathematics" }
Give k(u(s)). -s**2 - 17*s Let x(l) be the second derivative of l**7/1260 + l**4/2 - 2*l. Let o(j) be the third derivative of x(j). Let m(f) = 8*f - 2*f + 4*f**2 - 6*f. Calculate o(m(g)). 32*g**4 Let o(j) be the second derivative of j**3/2 + j. Let w(i) = -33 - 37 + 70 + 4*i**2. Determine o(w(p)). 12*p**2 Let c(k) = 4*k**2. Let y(p) be the third derivative of p**5/12 + 121*p**2. What is y(c(o))? 80*o**4 Let o(a) = -2*a. Let g(p) = -131761*p**2. Determine o(g(k)). 263522*k**2 Let y(d) = -d. Let z(f) = -12000*f. What is z(y(a))? 12000*a Let z(d) = -113*d. Let k(l) = -97*l. Let m(q) = 7*k(q) - 6*z(q). Let b(i) = 264*i**2. What is m(b(y))? -264*y**2 Let s(x) = -7*x. Let z(d) = 61067*d + 4. Calculate s(z(k)). -427469*k - 28 Let b(y) = -6*y**2 - 5*y + 5. Let m(j) = -5*j**2 - 4*j + 4. Let h(u) = -4*b(u) + 5*m(u). Let s(q) = 2 - 2 + 2*q - 3*q. Calculate h(s(w)). -w**2 Let h(w) be the first derivative of w**3/6 + 13*w - 17. Let s(y) be the first derivative of h(y). Let j(x) = -77*x. Determine j(s(r)). -77*r Let s(w) be the third derivative of 5*w**4/12 + 3*w**2. Let m(o) be the second derivative of -o**4/12 - 28*o. Determine s(m(c)). -10*c**2 Let b(f) be the first derivative of 17*f**2 - 74. Let p(w) = -w + 3*w - w. Calculate p(b(j)). 34*j Let j(s) = 4*s + 11. Suppose -2*f = -0*f - 10. Let b(a) = 0 + 3*a + 6 - f*a + 4*a. Let l(q) = -11*b(q) + 6*j(q). Let p(t) = 6*t. Give p(l(u)). 12*u Let a(v) = -54*v + 83*v - 2 - 44*v + 2. Let p(y) = -2*y. Give p(a(r)). 30*r Let b(c) = 6*c**2. Let w(r) = r + 1. Let n(v) = -1. Let y(m) = 5*n(m) + 6*w(m). Determine b(y(u)). 216*u**2 + 72*u + 6 Let n(t) = -913*t**2 - 2. Let c(o) = -59*o - 1. Calculate c(n(u)). 53867*u**2 + 117 Let w(d) = -6*d**2. Let k(y) = -96165*y**2. Determine w(k(x)). -55486243350*x**4 Let b(g) = 0 + 0 - 7*g. Let p(o) = -o**2 + 6*o + 1. Let r(y) = 8*y**2 - 42*y - 7. Let s(h) = -21*p(h) - 3*r(h). What is b(s(l))? 21*l**2 Let p(z) = 267*z**2. Let l(b) = 19*b**2 - 28. Let d(a) = -11*a**2 + 16. Let n(r) = 7*d(r) + 4*l(r). What is p(n(t))? 267*t**4 Let a(s) = 2*s. Let p(t) = 133*t**2 + 146*t**2 - 437*t**2 + 90*t**2. What is p(a(v))? -272*v**2 Let b(y) = -y. Let d(q) = -324*q**2 - 24*q. Let w(n) = 65*n**2 + 5*n. Let g be -5 + -3 - (-1 - 2/1). Let z(s) = g*d(s) - 24*w(s). Determine z(b(a)). 60*a**2 Let u(r) = 21*r. Let w(h) be the third derivative of -23*h**4/24 - 353*h**2. Give u(w(q)). -483*q Let r(l) = -997*l + 941*l - 3 + 3. Let n(i) = -2*i. What is n(r(d))? 112*d Let i(s) = 17*s**2 + 22*s**2 + 36*s**2 - 74*s**2. Let q(m) = 695*m**2. Determine q(i(a)). 695*a**4 Let y(d) = -189*d**2. Let q(h) = -215*h + 2. Calculate q(y(z)). 40635*z**2 + 2 Let h(q) = q. Suppose 2*f + 3*s = 14, 3*f - s = -5*s + 22. Let g = f + -2. Let i(b) = 2*b**2 - g*b + 3*b + 5*b. What is i(h(r))? 2*r**2 Let s(r) = -16*r. Let b(d) be the first derivative of -5*d**2 - 127. Determine b(s(z)). 160*z Let i(t) = -8 + 20 - 18 + t**2 + t**2 - 12. Let u(q) = 3*q**2. Calculate i(u(w)). 18*w**4 - 18 Let y(p) = 27636*p. Let n(q) = -110*q**2. Give y(n(c)). -3039960*c**2 Let x(n) = 12681*n. Let y(p) = -p. What is x(y(l))? -12681*l Let u(k) = -3*k**2. Suppose -2*v + 5 = 3*v. Suppose -1 = -w - n + v, 0 = -3*n. Let s(z) = 14*z + 3*z**w - 14*z. Calculate u(s(x)). -27*x**4 Let f be ((-8)/12)/(2/(-18)). Suppose f = 2*l + l. Let p(i) = -l*i + 3*i + i**2 - i. Let s(x) = 2*x. Give s(p(k)). 2*k**2 Let w(p) = 4636*p. Let i(f) = -8*f. Give w(i(v)). -37088*v Let f(s) be the first derivative of -4*s**3 - 397. Let o(w) = 38*w - 1. Determine o(f(h)). -456*h**2 - 1 Let h(r) = -r. Let n(i) = -i**2 - 511090. Calculate h(n(q)). q**2 + 511090 Let r(y) = y. Let i(b) = -59308*b. Determine i(r(w)). -59308*w Let f(w) = -6*w. Let j(c) be the first derivative of -11*c**2/2 - 2*c + 59. Calculate f(j(v)). 66*v + 12 Let x(o) = 6*o**2. Let l(q) = q - 1. Let z be l(2). Let u be (z - 0) + 3/3. Let j(v) = -3*v**2 + u*v**2 - v**2. What is j(x(p))? -72*p**4 Let c(m) be the second derivative of m**4/6 + 2*m. Let i(q) be the third derivative of -q**2 + 0 + 0*q - 1/24*q**4 + 0*q**3. Give i(c(p)). -2*p**2 Let f(w) be the second derivative of w**4/6 - w. Let s(z) be the second derivative of -z**4/12 - 656*z. Give f(s(b)). 2*b**4 Let y(s) = -24*s**2. Let a(g) = 18966*g. Give y(a(w)). -8633019744*w**2 Let m(z) = 10493*z. Let b(f) = f. Give b(m(j)). 10493*j Let p(y) be the first derivative of y**6/360 - 17*y**3/3 - 24. Let i(m) be the third derivative of p(m). Let o(t) = 6*t**2. Give i(o(h)). 36*h**4 Let q(n) be the first derivative of -n**3/3 + 9. Let x(d) be the second derivative of -d**4/4 - 9*d. Calculate x(q(j)). -3*j**4 Let d be (-3)/9 + -3 + (-110)/(-15). Let t(y) = -d*y**2 + 29*y**2 - 4*y**2. Let v(c) = 2*c**2. Calculate v(t(j)). 882*j**4 Let j(w) be the third derivative of 43*w**4/8 - w**2 - 106*w. Let z(l) = 2*l**2. Calculate j(z(f)). 258*f**2 Let p(y) be the third derivative of -y**5/4 + 13*y**2. Let g(w) = -6 - 2 + 8 - 2*w**2. Calculate p(g(i)). -60*i**4 Let a(c) = -113*c - 127*c + 240*c + 8*c**2. Let j(h) be the first derivative of h**2 + 3. Determine j(a(p)). 16*p**2 Let w(h) be the third derivative of -h**4/24 - 21*h**2. Let p(g) = -4*g. Let y(i) = 3*p(i) - 16*w(i). Let f(n) = 6*n**2. Give y(f(j)). 24*j**2 Let b(c) = 2*c**2. Let q(n) = -2*n + 573. Let m(g) = g - 283. Let r(s) = -7*m(s) - 3*q(s). Give r(b(j)). -2*j**2 + 262 Let b(t) = 2147*t**2. Let x(a) = 44*a. Determine b(x(l)). 4156592*l**2 Let j(r) = -r - 3*r + 6*r. Let h(b) = -486*b**2 + 901*b**2 - 457*b**2. Give h(j(t)). -168*t**2 Let c(w) = -7*w. Suppose 5*r + r = 48. Let l(p) = -6*p + 2*p + r*p. Give l(c(f)). -28*f Let b(k) be the first derivative of -5 + 0*k + 0*k**3 - 1/8*k**4 + 1/2*k**2. Let z(v) be the second derivative of b(v). Let c(x) = -2*x. Calculate c(z(p)). 6*p Let t(z) = -19*z**2 - 7*z. Let x(m) = 6*m**2 + 2*m. Let l(u) = 2*t(u) + 7*x(u). Let f be ((-20)/(-6))/((-2)/(-3)). Let k(g) = -f*g + 2*g + g - g. Give k(l(n)). -12*n**2 Let r(g) = -2*g**2. Let i(b) = 9*b**2 - 22069*b. Give i(r(s)). 36*s**4 + 44138*s**2 Let l(s) = 162*s - 1. Let y(d) = -7501*d. Give y(l(u)). -1215162*u + 7501 Let s(o) = -39*o + 96 - 76 + 9*o. Let h(q) = -q + 1. Let y(l) = 20*h(l) - s(l). Let k(p) = 4 - 4 - 2*p. Determine y(k(v)). -20*v Let r(g) be the third derivative of -g**5/30 + 2*g**2 + 55*g. Let l(z) = -275*z. Determine r(l(h)). -151250*h**2 Let i(f) = -7*f**2. Suppose 5*d - 78 - 7 = 0. Let o be (3 + -3 - d)*-1. Let l(m) = -m**2 + 7*m + 10*m - o*m. Calculate l(i(s)). -49*s**4 Let b(z) = -2*z**2 + 3*z + 3. Let l(x) = 2*x**2 - 2*x - 2. Let i(q) = 2*b(q) + 3*l(q). Let v(c) = -192*c + 394*c - 213*c. What is i(v(d))? 242*d**2 Let w(k) = -k**2. Let f(r) = 160 - 22*r**2 - 42*r**2 - 161 - 115*r**2. Determine w(f(j)). -32041*j**4 - 358*j**2 - 1 Let x(i) = -i - 1. Let v be x(-14). Let q = v + -11. Let k(f) = -3*f**q + f**2 - 4*f + 4*f. Let r(s) = -11*s**2. Determine k(r(d)). -242*d**4 Let b(c) = -2*c + 9. Let u(j) = -112*j**2 - 6*j + 22. What is b(u(f))? 224*f**2 + 12*f - 35 Let b(l) = 4*l**2 - 3*l**2 + l**2. Let c(u) be the second derivative of 1/6*u**3 + 0*u**2 + 0 - 20*u. Calculate b(c(m)). 2*m**2 Let y(i) = i**2. Let l(j) = -343302*j**2. Determine l(y(x)). -343302*x**4 Let v = 2 + 2. Let p(r) = -v*r - 54 + 54. Let h(j) = -2*j**2. What is p(h(b))? 8*b**2 Let x(t) be the first derivative of -t**2/2 + 51. Let j(m) = -9*m. Calculate j(x(w)). 9*w Let u(l) = -5 + 18 - 4*l - 4 - 11. Let h(d) = 4*d**2. Let p(i) = -5*i**2. Let g(a) = 4*h(a) + 3*p(a). What is g(u(k))? 16*k**2 + 16*k + 4 Let j(a) be the first derivative of -29*a**3/3 + 3*a - 706. Let d(v) = -5*v. What is d(j(u))? 145*u**2 - 15 Let t(v) = -89*v + 3. Let z(s) = -14*s**2 - 2. What is t(z(g))? 1246*g**2 + 181 Let r(q) = -103*q**2 - 172*q**2 + 21*q**2 + 6 - 6. Let n(f) = -f. Determine n(r(c)). 254*c**2 Let a(k) = -k**2. Let j(v) = 7*v**2 - 3*v. Let x(h) = -11*h**2 + 5*h. Let f(n) = 5*j(n) + 2*x(n). Calculate a(f(r)). -169*r**4 + 130*r**3 - 25*r**2 Let o(r) = 135*r. Let c(x) = 726*x**2. What is o(c(l))? 98010*l**2 Let p(k) = -8*k**2. Let i(m) be the first derivative of -5*m**2 - 71. Determine i(p(s)). 80*s**2 Let f(i) = -1178*i. Let b(c) = -1140*c. What is f(b(q))? 1342920*q Let a(n) = -5*n. Let f(q) be the second derivative of q**5/40 - 7*q**3/3 + 10*q. Let k(h) be the second deri
{ "pile_set_name": "DM Mathematics" }
-21942 and -4 equal? False Is -3295801 > -3295800? False Which is smaller: -1 or 130345? -1 Which is smaller: -2288 or -2290? -2290 Which is smaller: -61370/3 or -20458? -20458 Which is smaller: -33636 or -33645? -33645 Is 0.6 equal to 2/410817? False Is 32 greater than or equal to -89? True Is -132 <= -7594/57? False Which is greater: 2683 or -4? 2683 Which is greater: -153588 or -153587? -153587 Which is smaller: -10053 or -10051? -10053 Is -71 > -71? False Is 4 greater than -44695? True Is -2/4615 bigger than 1? False Is 3082041 <= 3082041? True Is -1 greater than 10/41041? False Is -7275 at least as big as -2/489? False Is -70/6887 <= 1? True Which is smaller: -1/1208171 or 1? -1/1208171 Is 54293 at least as big as 54295? False Which is bigger: -5 or -1246/229? -5 Is -845 <= -971? False Which is greater: 24195 or 24239? 24239 Which is greater: -7.795 or 0? 0 Is -1175 smaller than 2480? True Which is smaller: 1816932 or -1/2? -1/2 Is -0.6 <= -5.95? False Is -11 greater than -7233/635? True Which is smaller: -1094 or 5/37? -1094 Which is bigger: 1/3 or -251622? 1/3 Is 964426 > 964427? False Which is bigger: -173 or 403? 403 Which is bigger: 1932.2 or -0.2? 1932.2 Which is greater: 2848 or 150990/53? 150990/53 Which is greater: 55 or -143? 55 Is -3/2 < 24966/11? True Which is smaller: 1 or -975/5651? -975/5651 Is -4100.7 at least as big as -8? False Is -1/2 at least 36680? False Is 256 at most as big as 1047? True Is -55 less than or equal to -36570/649? False Which is greater: 1278979 or -3? 1278979 Is 1 less than or equal to -12/27899? False Which is smaller: -176 or -7629/43? -7629/43 Which is smaller: 1051 or 966? 966 Are 496120/23 and 21569 unequal? True Which is bigger: 1388 or 1/7? 1388 Which is smaller: 820592 or 820597? 820592 Do 16403 and 16368 have different values? True Is -14 greater than or equal to -1423/94? True Which is bigger: 424 or 442? 442 Is 138340 smaller than 553361/4? True Which is greater: 5322 or 3? 5322 Is 1 less than or equal to 7/7454? False Which is greater: 218 or -94? 218 Is -7 smaller than 104119? True Is -168/1895 smaller than 1? True Do -755813 and -755813 have the same value? True Which is smaller: 1 or -64/3911? -64/3911 Is 2959508 less than or equal to 2959509? True Is -10680 > -10683? True Are 251191 and 10 nonequal? True Which is bigger: -80/143 or -1? -80/143 Which is smaller: -0.23 or 138/95? -0.23 Which is bigger: -1 or 2/1593999? 2/1593999 Is -1963 smaller than -4? True Which is bigger: -1 or 8/1553331? 8/1553331 Which is smaller: -5676 or -5680? -5680 Which is smaller: -0.017 or 1553? -0.017 Which is smaller: -6114 or -2.2? -6114 Which is bigger: 943631 or -1/3? 943631 Is -9843 at least as big as -9852? True Are 1 and -56138/43 non-equal? True Is -0.28181 greater than 0.19? False Which is bigger: 3/1699084 or 1? 1 Which is smaller: 0 or 4/262959? 0 Is -3025 at least -3004? False Is 151176 less than or equal to 151188? True Is -6 <= -2168? False Which is greater: -7857025 or -7857024? -7857024 Which is greater: 5695 or 5683? 5695 Is -842 < -879? False Does 13305/38 = 350? False Which is bigger: 149 or 5464/37? 149 Which is smaller: -223/8542 or 0? -223/8542 Are 2040 and 2304 unequal? True Which is smaller: -1 or 6/113485? -1 Which is smaller: -42484/15 or -2832? -42484/15 Which is smaller: 0 or -11995? -11995 Which is smaller: 344/1535 or 1? 344/1535 Which is bigger: -223 or -13003? -223 Is -5 greater than -1678/267? True Which is bigger: -1.3254 or -48/11? -1.3254 Which is greater: 54/13043 or -1? 54/13043 Is -617/47 at most -13? True Is -2655832 greater than or equal to -2655832? True Is -37435/12 at least as big as -3121? True Are -85425 and -85423 unequal? True Which is bigger: 2 or 4094/1835? 4094/1835 Is -378782 bigger than -378783? True Is 1 greater than or equal to 12410? False Is 995 smaller than 53? False Which is bigger: 0.10375 or 31? 31 Is 6820730 equal to 6820728? False Which is greater: 137 or 17812/129? 17812/129 Which is smaller: 138/983 or -1? -1 Which is greater: 81170 or -1? 81170 Is -20357 greater than -20358? True Which is smaller: 1709 or 1667? 1667 Which is bigger: -27 or 43877? 43877 Do 20972 and 20972 have the same value? True Do 1000578 and 1000574 have different values? True Is -15210 at most 7? True Is 256573 equal to 256562? False Does -3/1785838 = 1? False Are 0.0328 and -110/3 nonequal? True Is -2854146 smaller than -2854146? False Are -1 and -60/3949 nonequal? True Is -1105 != -1102? True Which is smaller: 0 or 273/3103? 0 Which is bigger: -93.1 or -275? -93.1 Are -23358 and -3/4 unequal? True Is 11270 < 11242? False Is 121822 != 487293/4? True Which is bigger: 82620/7 or 11804? 11804 Which is bigger: 45691 or 45693? 45693 Are -4946/19 and -259 equal? False Which is smaller: -1 or 5/12972? -1 Is -1848 less than -12927/7? True Is -32230 at least -64461/2? True Do 0 and -191/137 have different values? True Which is smaller: 5793 or 5792? 5792 Which is greater: -1 or 4/8570269? 4/8570269 Does -31931 = -478954/15? False Which is greater: 4756/27 or 176? 4756/27 Which is smaller: 1/3 or 10/25313? 10/25313 Which is smaller: 5742 or 5764? 5742 Does -115 = 296? False Is -6174/13 smaller than -11? True Is 1/60 < -0.3662? False Are -649296 and -649297 unequal? True Which is greater: 12.6 or -17? 12.6 Which is smaller: 580/1241 or 1? 580/1241 Is 2/79059137 less than or equal to 0? False Is 287141 bigger than 14? True Which is smaller: 482035 or 482026? 482026 Which is smaller: -2890/9 or -77? -2890/9 Which is smaller: 84661 or 84662? 84661 Which is smaller: -11441/45 or -254? -11441/45 Which is smaller: 2042/15 or 136? 136 Does -1/38 = -0.6046? False Is 20366 at most as big as 203661/10? True Is -54723 at least -54723? True Is -1 != 206145? True Which is greater: 3097 or 4000? 4000 Does -1 = 108/17693? False Which is greater: 10/30263 or 1? 1 Which is smaller: -9520 or -9519? -9520 Which is greater: 17/229950 or 1? 1 Which is greater: 0.1 or -87816? 0.1 Which is greater: 1991 or 2012? 2012 Is 935511 less than 935512? True Which is smaller: 766 or -2? -2 Which is greater: 51249 or 51200? 51249 Which is smaller: 1 or -21/55205? -21/55205 Is 2617 at most as big as 1251? False Is -1 <= -99/121895? True Is -2/233 less than or equal to 294? True Are 984025 and 984023 nonequal? True Which is bigger: 2777094 or 2777095? 2777095 Is -505170 greater than -505170? False Which is smaller: 0.02029 or 2/53? 0.02029 Is 1858814 at most 1858814? True Which is greater: -149 or -154? -149 Is -48190 bigger than -48190? False Is 446/2141 greater than -0.2? True Which is smaller: -1 or 160513? -1 Which is bigger: -1287/235 or -5? -5 Does 0.1389 = 65? False Is 153126 > 153126? False Is -84075 greater than or equal to 2/11? False Is -3969 > 0.016? False Is 4464 equal to 75880/17? False Which is greater: -1 or 2/1713? 2/1713 Which is smaller: -1602 or 81? -1602 Which is smaller: 22516 or 22507? 22507 Which is greater: -9400 or -9405? -9400 Which is greater: -546/347 or -1? -1 Which is bigger: 7968 or 7961? 7968 Is 465/6938 at most as big as 1? True Is -1.72 at most -67.3? False Are 1271 and 143770/113 non-equal? True Is 11720 bigger than 11722? False Which is smaller: -4353 or -104? -4353 Which is smaller: 1070 or 1069? 1069 Which is smaller: 183/43651 or -1? -1 Do -92365 and -92366 have the same value? False Is 2035631 equal to 2035630? False Which is greater: 63088 or 315447/5? 315447/5 Which is smaller: -15/486982 or 1? -15/486982 Is -124 >= 719? False Is -3/50480 < 1? True Which is smaller: 2 or -0.097634? -0.097634 Which is smaller: 71531 or 71533? 71531 Is -37468 bigger than -37471? True Are 39604 and -8 equal? False Is -76526 > -76537? True Are 5762/281 and 21 equal? False Which is bigger: -75488 or 0? 0 Which is smaller: -248/5 or -49? -248/5 Which is smaller: 885 or 902? 885 Which is smaller: 133737 or 133702? 133702 Is -218028 equal to -218033? False Which is smaller: 249 or -881? -881 Which is greater: -18017/233 or -77? -77 Is 4130192/7 > 590027? True Is -36386 greater than -36341? False Is -898047 at least -898048? True Is -47031 bigger than -47028? False Which is greater: 43/77 or -0.1? 43/77 Is 1441347/16 greater than 90084? True Which is bigger: -9/46 or -28? -9/46 Which is smalle
{ "pile_set_name": "DM Mathematics" }
Divide -861 by 5810. -123/830 Divide -6 by 26179106. -3/13089553 What is -52512472 divided by -4327? 12136 What is -51 divided by 2273594? -51/2273594 What is -2 divided by -100613948? 1/50306974 Calculate -76508002 divided by 2. -38254001 77008 divided by 241 77008/241 Calculate 147344913 divided by -2243. -65691 What is 676 divided by -61454? -338/30727 Divide 0 by -367682234. 0 Divide 105 by -127199. -105/127199 What is -20749362 divided by 9? -6916454/3 What is -9 divided by -890120? 9/890120 5692676 divided by 44 129379 Divide 11376225 by 10485. 1085 Calculate -13281891 divided by 1897413. -7 -66 divided by 15664 -3/712 21002820 divided by -60 -350047 What is 77 divided by -592111? -77/592111 5263474 divided by 1481 3554 1339693928 divided by -7918 -169196 3 divided by -6486161 -3/6486161 Calculate -79179425 divided by 196475. -403 90026784 divided by -736 -122319 What is 255 divided by 256490? 51/51298 -341449570 divided by 7315 -46678 1114223448 divided by -76254 -14612 Calculate -114177867 divided by 4. -114177867/4 -114466 divided by -546 57233/273 What is -278258 divided by 21? -278258/21 Divide -1162417739 by 2401. -484139 What is 31 divided by 284247? 31/284247 Calculate -43273279 divided by 323. -133973 Calculate 323299132 divided by 391. 826852 What is 5 divided by 261756461? 5/261756461 Divide -120697831 by -9. 120697831/9 Divide 4 by -97515636. -1/24378909 -1228350 divided by 4 -614175/2 What is -17275316 divided by 4? -4318829 Divide -656 by 41002. -328/20501 Divide 559244 by -10. -279622/5 Divide -1045547 by 9. -1045547/9 What is 43 divided by 4289948? 43/4289948 Divide 509285634 by 23149347. 22 Divide 19150120 by 3905. 4904 Divide -11935188 by -3978396. 3 Calculate -89059 divided by -249. 1073/3 Divide 3302102 by -1651051. -2 Calculate 19347060 divided by 29. 667140 Divide 14242818 by -3838. -3711 Calculate 201208 divided by 100604. 2 What is 4319 divided by -91? -617/13 Calculate -314080508 divided by -954652. 329 Calculate 3046811 divided by 53. 57487 736336734 divided by 104981 7014 Divide -120 by -22648. 15/2831 Divide -4276849 by 5. -4276849/5 What is 98985033 divided by -9? -10998337 -5520770 divided by 64195 -86 -1468044 divided by -2364 621 What is -1291195690 divided by 5? -258239138 Divide 16675 by 24212. 16675/24212 Calculate -263040875 divided by 5. -52608175 -2322732 divided by -15 774244/5 -18496800 divided by 8808 -2100 What is -374646 divided by -60? 62441/10 -862498 divided by 17 -862498/17 Calculate 2126581 divided by 9. 2126581/9 Divide 18931826 by -15. -18931826/15 Calculate -158490135 divided by -93. 1704195 14424 divided by -1101 -4808/367 Calculate 1039786 divided by 47263. 22 Calculate 3940305 divided by -645. -6109 Divide 23310061 by 44741. 521 What is 253966884 divided by 4? 63491721 -221656268 divided by 8894 -24922 What is -2 divided by -2315528? 1/1157764 What is 429 divided by -7423? -33/571 Divide -2288 by 2911. -2288/2911 Divide -6069480474 by 6. -1011580079 57273260 divided by 5727326 10 What is -259902240 divided by -6664160? 39 What is -35 divided by 11528910? -7/2305782 Divide 3 by -48585782. -3/48585782 Divide -93435006 by 7. -13347858 Divide 193 by 237219. 193/237219 What is 587663912 divided by 4? 146915978 Divide 70950564 by 387708. 183 -7 divided by 4146797 -7/4146797 Divide 42312543 by -91. -464973 Divide 11984934 by -5992467. -2 Calculate 32871 divided by -49. -32871/49 Calculate -2247840 divided by 72. -31220 Divide 68394870 by -31635. -2162 Divide -3377 by -1297. 3377/1297 Calculate 3 divided by -65002034. -3/65002034 Divide 3836400 by 690. 5560 Divide 12 by -476432. -3/119108 What is 15424992 divided by -3564? -4328 Calculate -13045604 divided by 2. -6522802 Calculate -72140400 divided by 290. -248760 What is -308649956 divided by 154324978? -2 -74808083 divided by 8267 -9049 Divide 8796180 by 2. 4398090 52394 divided by 1113 52394/1113 What is 936498 divided by -156083? -6 What is -1799125 divided by 9725? -185 Divide -976541 by -5. 976541/5 Divide 12030481 by 12. 12030481/12 Divide 206812 by -21. -206812/21 Divide -25 by 3865702. -25/3865702 Divide -11781245 by -409. 28805 Divide -5234940 by 174498. -30 Calculate 5 divided by 262048865. 1/52409773 42 divided by -185198 -21/92599 What is 304774 divided by -18? -152387/9 What is 23983770 divided by 510? 47027 Divide -37934112 by -9483528. 4 -13 divided by -1346067 13/1346067 Calculate -35732154 divided by 5955359. -6 Calculate -75 divided by -7132298. 75/7132298 247530060 divided by 540 458389 Calculate 8417 divided by -868. -8417/868 What is -734454 divided by -17487? 42 -238308376 divided by -4 59577094 What is 130 divided by 225272? 65/112636 -878745 divided by -3 292915 Calculate 3188990 divided by 637798. 5 What is 30822981 divided by -4403283? -7 Divide 138812638 by 6. 69406319/3 -116785872 divided by 12 -9732156 Divide 1658 by -39308. -829/19654 Calculate -24365018 divided by -4. 12182509/2 -5 divided by 12820545 -1/2564109 Divide 36 by 382711. 36/382711 Calculate 113 divided by -13050. -113/13050 Divide -43548458 by -43548458. 1 What is -2 divided by 14837578? -1/7418789 Calculate 26 divided by -1602409. -26/1602409 What is 3 divided by 15536730? 1/5178910 Divide 51191890 by 2694310. 19 -1235 divided by -7117 1235/7117 1546560 divided by -96660 -16 Divide 3 by -9215465. -3/9215465 -1441917 divided by 35 -1441917/35 Divide -6897 by 7822. -6897/7822 Calculate -5 divided by -60144533. 5/60144533 Calculate -18 divided by 676874. -9/338437 Calculate 237314160 divided by -9. -26368240 What is -227170452 divided by -73? 3111924 Calculate -6717670 divided by 25. -1343534/5 What is 0 divided by 12524536? 0 What is -106145835 divided by 545? -194763 Calculate 0 divided by -40881577. 0 Divide 2751644 by 7. 393092 What is -8386520 divided by -568? 14765 Divide 12239328 by -1019944. -12 What is -172912399 divided by -25477? 6787 Divide -17262880 by -375280. 46 What is 404 divided by 51808? 101/12952 Divide 352201752 by 168. 2096439 Divide 2117790 by 117655. 18 What is 1173 divided by 32202? 391/10734 Divide -59083445 by 9935. -5947 16 divided by -323922 -8/161961 -52237 divided by -20 52237/20 Calculate -3097050 divided by -1548525. 2 Calculate -39 divided by -2862293. 39/2862293 Calculate 386970521 divided by 283. 1367387 4645732 divided by 165919 28 4 divided by 23335962 2/11667981 Divide 32085 by 12279. 10695/4093 Divide 6 by -365075. -6/365075 Calculate 271653 divided by 44. 271653/44 What is -82817098 divided by 923? -89726 Calculate -808962 divided by 11. -73542 What is 22489050 divided by -626? -35925 What is -125764 divided by 154? -62882/77 Calculate 8273410 divided by -2. -4136705 What is 9075 divided by -217? -9075/217 Divide 1408072 by 19832. 71 Calculate -10980839 divided by -1. 10980839 Divide 299 by 665639. 23/51203 What is -790206 divided by -1? 790206 Divide -70701 by -152. 70701/152 Divide -30460400 by -4. 7615100 What is -84412668 divided by -2221386? 38 Divide -305 by -261. 305/261 Divide -1 by 21388098. -1/21388098 Divide -1179893 by -90761. 13 -5 divided by 3054373 -5/3054373 Divide 132569963 by 1. 132569963 Divide 16166726 by -4. -8083363/2 What is -3 divided by 215982? -1/71994 What is 44807048 divided by -16258? -2756 Divide -22938998 by 2. -11469499 What is -2617 divided by -1889? 2617/1889 83537653 divided by 197 424049 1541 divided by -6012 -1541/6012 Divide 231 by -27373. -231/27373 -352871038 divided by 14989 -23542 What is 1903411872 divided by 35248368? 54 3 divided by -351973 -3/351973 Calculate 233999100 divided by -77999700. -3 Divide -3025327 by -80. 3025327/80 What is -804 divided by 192740? -201/48185 Divide 124948440 by 20. 6247422 Divide -944325840 by -81548. 11580 What is 17568762 divided by -8784381? -2 -120666521 divided by 1 -120666521 -406684425 divided by 227325 -1789 Divide 47830466 by 5. 47830466/5 Calculate 719384750 divided by 1209050. 595 Calculate -46 divided by -77478. 23/38739 What is 350106126 divided by 1581? 221446 Divide -358 by 25868. -179/12934 261 divided by -26012 -261/26012 Calculate 993594180 divided by 30. 33119806 Divide 10256205 by 3. 3418735 Calculate 3 divided by -27905091. -1/9301697 Divide 1 by 24641595. 1/24641595 What is -20 divided by 698012? -5/174503 216
{ "pile_set_name": "DM Mathematics" }
40 Three letters picked without replacement from {y: 8, l: 1, n: 3, e: 2, u: 1, m: 2}. What is prob of sequence ueu? 0 What is prob of sequence dm when two letters picked without replacement from mmdw? 1/6 Two letters picked without replacement from xduxunfedfnxnx. What is prob of sequence xx? 6/91 Three letters picked without replacement from {d: 7, z: 8, s: 5}. Give prob of sequence ssd. 7/342 What is prob of sequence laa when three letters picked without replacement from {p: 2, l: 7, u: 4, j: 1, a: 4}? 7/408 Two letters picked without replacement from gpollnllnwnnggnn. What is prob of sequence gp? 1/80 Calculate prob of sequence zq when two letters picked without replacement from {q: 1, z: 1, d: 1}. 1/6 What is prob of sequence fcc when three letters picked without replacement from {f: 1, l: 1, e: 2, c: 2}? 1/60 What is prob of sequence gpq when three letters picked without replacement from pqpgiqiqgptiqp? 4/273 Three letters picked without replacement from {r: 4, v: 2, x: 2, d: 1, b: 1}. Give prob of sequence bdv. 1/360 Three letters picked without replacement from qmaqmqyamtaamata. What is prob of sequence ayq? 3/560 Two letters picked without replacement from acmlt. What is prob of sequence mc? 1/20 Four letters picked without replacement from {y: 3, s: 15}. Give prob of sequence ysss. 91/816 Two letters picked without replacement from {p: 2, z: 2, f: 7, s: 2, v: 5}. Give prob of sequence vs. 5/153 What is prob of sequence agn when three letters picked without replacement from jgnvoajajnvnv? 1/286 Calculate prob of sequence jjss when four letters picked without replacement from jssssssjsjjjss. 60/1001 Three letters picked without replacement from wwwccwcccccccccwccc. What is prob of sequence wwc? 140/2907 What is prob of sequence sa when two letters picked without replacement from {o: 2, z: 2, s: 1, d: 2, a: 5, t: 1}? 5/156 What is prob of sequence xf when two letters picked without replacement from {x: 14, f: 1}? 1/15 Calculate prob of sequence vuc when three letters picked without replacement from ruruurrvuucvuvruuru. 3/646 Two letters picked without replacement from oiioizxzoizii. What is prob of sequence oo? 1/26 Calculate prob of sequence bu when two letters picked without replacement from uclbccclu. 1/36 Three letters picked without replacement from {v: 2, m: 1, y: 2, g: 4, c: 7}. What is prob of sequence cyc? 1/40 What is prob of sequence bqb when three letters picked without replacement from qqbbqbqbqqbqbb? 7/52 Calculate prob of sequence mucu when four letters picked without replacement from ucmuuucuuuccmucuc. 9/595 What is prob of sequence gvg when three letters picked without replacement from {v: 5, g: 8}? 70/429 Two letters picked without replacement from {g: 1, a: 1, c: 5, i: 3, t: 3}. Give prob of sequence ii. 1/26 Calculate prob of sequence bg when two letters picked without replacement from bgggbgg. 5/21 Four letters picked without replacement from {s: 5, l: 3}. Give prob of sequence lsls. 1/14 What is prob of sequence vzn when three letters picked without replacement from ccnznrnncvrenrcncvz? 4/969 Three letters picked without replacement from {m: 9, z: 2, q: 2, p: 5}. Give prob of sequence zqm. 1/136 Three letters picked without replacement from {x: 8, a: 3}. What is prob of sequence xax? 28/165 Two letters picked without replacement from rdrgeoeqq. What is prob of sequence dr? 1/36 Four letters picked without replacement from {k: 11, p: 5, c: 1}. Give prob of sequence kppk. 55/1428 Two letters picked without replacement from kkkooo. What is prob of sequence kk? 1/5 Two letters picked without replacement from {u: 4, g: 3, l: 2, k: 6}. Give prob of sequence lk. 2/35 Four letters picked without replacement from {r: 7, z: 3, m: 2}. Give prob of sequence rrmm. 7/990 Three letters picked without replacement from {i: 2, m: 2, v: 2}. What is prob of sequence viv? 1/30 Four letters picked without replacement from euufxffexxffe. What is prob of sequence feuu? 1/572 Three letters picked without replacement from aee. What is prob of sequence eee? 0 What is prob of sequence xq when two letters picked without replacement from ataqxuun? 1/56 Calculate prob of sequence cxub when four letters picked without replacement from wbcux. 1/120 What is prob of sequence yv when two letters picked without replacement from {y: 1, h: 1, v: 1, s: 1, p: 3}? 1/42 Calculate prob of sequence lli when three letters picked without replacement from bqlqbbblkiliqlbkki. 1/136 What is prob of sequence nbq when three letters picked without replacement from {q: 3, g: 4, b: 6, x: 1, n: 1}? 3/455 Three letters picked without replacement from {b: 12, l: 4, o: 4}. What is prob of sequence blb? 22/285 Four letters picked without replacement from wwqwqqq. What is prob of sequence wqwq? 3/35 Two letters picked without replacement from {r: 9, j: 4, l: 3}. Give prob of sequence lj. 1/20 Four letters picked without replacement from {z: 2, y: 2, o: 3, q: 4}. Give prob of sequence oooy. 1/660 What is prob of sequence krl when three letters picked without replacement from qlklrjke? 1/84 What is prob of sequence de when two letters picked without replacement from dkuse? 1/20 Two letters picked without replacement from xxekkxeekxxeeexkx. What is prob of sequence kx? 7/68 Three letters picked without replacement from {i: 2, x: 2, w: 6, b: 3, r: 3}. What is prob of sequence riw? 3/280 Two letters picked without replacement from yddymjoyddo. What is prob of sequence yo? 3/55 What is prob of sequence vnv when three letters picked without replacement from vvwpspvnnnn? 4/165 What is prob of sequence pea when three letters picked without replacement from eeeeaeeapeeppeeeee? 13/816 What is prob of sequence gl when two letters picked without replacement from {k: 2, l: 4, g: 1, y: 2}? 1/18 Four letters picked without replacement from {g: 4, r: 3}. Give prob of sequence grrr. 1/35 Three letters picked without replacement from uuuusssu. Give prob of sequence uuu. 5/28 Three letters picked without replacement from ddbbeddde. What is prob of sequence bdd? 5/63 Calculate prob of sequence qqsq when four letters picked without replacement from qisippikqpi. 0 Four letters picked without replacement from dfadfdffdfdfdjd. Give prob of sequence jddd. 1/156 What is prob of sequence xno when three letters picked without replacement from kxukxxnzozxkxux? 1/455 What is prob of sequence homa when four letters picked without replacement from hahmoahhhhohohorah? 1/680 Three letters picked without replacement from {x: 2, r: 10}. What is prob of sequence rxr? 3/22 Calculate prob of sequence jjql when four letters picked without replacement from {j: 3, l: 2, q: 3}. 3/140 Four letters picked without replacement from lilamllizzbllllma. What is prob of sequence laai? 1/1785 Four letters picked without replacement from eiieeiiecee. What is prob of sequence ciee? 1/66 Four letters picked without replacement from {r: 2, j: 2, e: 2, a: 1, s: 1, h: 1}. What is prob of sequence eshe? 1/1512 Four letters picked without replacement from xrppxrprpprr. Give prob of sequence rrxr. 1/99 Four letters picked without replacement from {t: 15, s: 4}. Give prob of sequence ssts. 5/1292 Three letters picked without replacement from {v: 5}. What is prob of sequence vvv? 1 Three letters picked without replacement from {k: 9, b: 11}. Give prob of sequence bbb. 11/76 Two letters picked without replacement from {t: 13, n: 3}. What is prob of sequence tn? 13/80 What is prob of sequence fy when two letters picked without replacement from fyyuwwywyykuyyyufquk? 4/95 What is prob of sequence uuut when four letters picked without replacement from {u: 7, t: 7}? 35/572 Four letters picked without replacement from hhxxxxxxxxxhxx. What is prob of sequence xhhh? 1/364 Calculate prob of sequence qqyy when four letters picked without replacement from qqqqyqqqyqqqqyqqqq. 7/408 Two letters picked without replacement from wwvvwvvvvvvvwvvwvwv. What is prob of sequence vw? 13/57 Two letters picked without replacement from kkak. Give prob of sequence ak. 1/4 Two letters picked without replacement from xjxjjxm. What is prob of sequence mj? 1/14 What is prob of sequence xk when two letters picked without replacement from xkxxkk? 3/10 Two letters p
{ "pile_set_name": "DM Mathematics" }
tttpiwhphwmhhwh. What is prob of picking 1 w and 1 m? 1/35 Three letters picked without replacement from {l: 2, x: 1, n: 1, j: 2, o: 1, t: 2}. Give prob of picking 2 j and 1 l. 1/42 What is prob of picking 2 q when two letters picked without replacement from {x: 1, k: 1, q: 3, h: 1, y: 1}? 1/7 Four letters picked without replacement from jkfjffddfddffdffjdf. Give prob of picking 1 f and 3 j. 3/1292 Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {g: 1, m: 10, f: 4, l: 3}. 10/153 Calculate prob of picking 2 r when two letters picked without replacement from rrrv. 1/2 Three letters picked without replacement from {e: 1, n: 1, a: 1, y: 2}. What is prob of picking 1 e and 2 y? 1/10 What is prob of picking 3 r and 1 i when four letters picked without replacement from {r: 3, i: 11}? 1/91 Four letters picked without replacement from tnntunnnntunnnnuznu. What is prob of picking 1 u, 2 n, and 1 t? 55/323 Three letters picked without replacement from lrrrrrrrl. Give prob of picking 3 r. 5/12 Four letters picked without replacement from wwczwninw. Give prob of picking 1 c, 2 w, and 1 i. 1/21 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from tootooot. 15/28 What is prob of picking 1 l and 1 m when two letters picked without replacement from mimlmmmmmmrimmmmm? 13/136 What is prob of picking 1 w and 1 u when two letters picked without replacement from uwfuwwuu? 3/7 Calculate prob of picking 2 z and 1 o when three letters picked without replacement from {z: 8, n: 1, o: 9, x: 2}. 21/95 Three letters picked without replacement from cccaccceeceecaac. What is prob of picking 3 c? 3/20 Two letters picked without replacement from {k: 2, o: 2, i: 7, u: 2, t: 2, f: 1}. Give prob of picking 1 i and 1 f. 7/120 Calculate prob of picking 1 n and 3 p when four letters picked without replacement from ppnppnnp. 3/7 Two letters picked without replacement from vvemvvmmxxxmnxxm. What is prob of picking 1 m and 1 e? 1/24 Calculate prob of picking 1 s, 2 u, and 1 g when four letters picked without replacement from {u: 4, c: 3, s: 2, y: 2, g: 2, n: 1}. 24/1001 What is prob of picking 1 p, 1 y, 1 t, and 1 n when four letters picked without replacement from {n: 3, y: 1, p: 4, m: 2, t: 9}? 9/323 Four letters picked without replacement from hzhhhzzbzkzhhztxhzhh. Give prob of picking 2 k and 2 h. 0 Four letters picked without replacement from {g: 1, r: 3, u: 5, v: 3, i: 1}. What is prob of picking 1 u, 2 r, and 1 g? 3/143 Four letters picked without replacement from {j: 6, q: 8, i: 1}. Give prob of picking 1 j and 3 q. 16/65 Three letters picked without replacement from dynnxnzzmmnnmnx. What is prob of picking 1 z, 1 n, and 1 x? 24/455 Calculate prob of picking 1 e and 1 i when two letters picked without replacement from rdikrde. 1/21 Two letters picked without replacement from taatttt. What is prob of picking 1 t and 1 a? 10/21 Calculate prob of picking 2 t when two letters picked without replacement from pxtjtjf. 1/21 What is prob of picking 3 h when three letters picked without replacement from {r: 7, h: 6}? 10/143 Calculate prob of picking 2 f and 1 p when three letters picked without replacement from jfjpjjqjtpjppp. 0 Three letters picked without replacement from ddmbmcbdpdm. What is prob of picking 2 d and 1 b? 4/55 Four letters picked without replacement from {f: 2, w: 2, y: 4, g: 3, v: 7}. Give prob of picking 1 g, 2 v, and 1 w. 7/170 Three letters picked without replacement from nnnnnynnnyynnnnnynny. Give prob of picking 2 y and 1 n. 5/38 What is prob of picking 1 w and 1 o when two letters picked without replacement from bbgbggggwbbmbmmog? 1/136 What is prob of picking 1 h, 1 j, and 2 f when four letters picked without replacement from ffhffzzzfjdhffffzf? 1/34 Two letters picked without replacement from qphvhhhhyvhhhp. What is prob of picking 1 q and 1 h? 8/91 Three letters picked without replacement from wxaxoyv. What is prob of picking 1 a, 1 y, and 1 x? 2/35 Calculate prob of picking 1 y and 1 f when two letters picked without replacement from yygyggyygyfggyy. 8/105 Two letters picked without replacement from njuct. What is prob of picking 1 n and 1 c? 1/10 Two letters picked without replacement from {v: 4, a: 3}. What is prob of picking 2 v? 2/7 What is prob of picking 3 s and 1 k when four letters picked without replacement from {s: 8, k: 3}? 28/55 Calculate prob of picking 2 j and 2 t when four letters picked without replacement from ttjjjltjtlttjjjtjj. 21/85 Calculate prob of picking 1 u, 1 z, and 1 k when three letters picked without replacement from {k: 1, m: 4, z: 3, r: 3, u: 1, y: 5}. 3/680 Calculate prob of picking 1 p, 1 e, and 1 x when three letters picked without replacement from ehpeehpwhhhxxehee. 3/85 Calculate prob of picking 2 l and 2 m when four letters picked without replacement from {k: 2, l: 5, m: 5, j: 3}. 20/273 Four letters picked without replacement from {c: 4, w: 1, n: 6}. What is prob of picking 3 c and 1 w? 2/165 Calculate prob of picking 1 x, 1 s, 1 v, and 1 n when four letters picked without replacement from sjxvvvvnvvvvvvvvs. 6/595 Two letters picked without replacement from {p: 4, a: 1, n: 5, i: 1, r: 4}. What is prob of picking 1 a and 1 n? 1/21 Calculate prob of picking 1 a and 3 h when four letters picked without replacement from aaahaaaahhaaaaa. 4/455 Two letters picked without replacement from {t: 3, v: 1, z: 1, r: 2}. Give prob of picking 1 r and 1 z. 2/21 Two letters picked without replacement from mumdouudmuomnpm. Give prob of picking 1 m and 1 d. 2/21 Four letters picked without replacement from {k: 2, e: 1, h: 5, c: 5, n: 3}. What is prob of picking 1 k, 1 e, 1 h, and 1 n? 3/182 Four letters picked without replacement from tttsttttttttt. Give prob of picking 1 s and 3 t. 4/13 Calculate prob of picking 4 i when four letters picked without replacement from jjijjiiizzjjjjjjii. 1/204 What is prob of picking 2 b when two letters picked without replacement from {b: 5, x: 3}? 5/14 Calculate prob of picking 2 i when two letters picked without replacement from bktbqtiwwiitbwtwk. 3/136 What is prob of picking 2 m when two letters picked without replacement from ggmggmmggm? 2/15 Two letters picked without replacement from akinaziavkiz. Give prob of picking 1 i and 1 n. 1/22 What is prob of picking 2 l and 2 m when four letters picked without replacement from {m: 3, l: 9}? 12/55 Two letters picked without replacement from {d: 2, t: 2, c: 4, p: 3}. What is prob of picking 1 d and 1 t? 4/55 What is prob of picking 2 q when two letters picked without replacement from {s: 2, q: 11}? 55/78 Three letters picked without replacement from yvytjyttyjwy. Give prob of picking 2 y and 1 j. 1/11 Two letters picked without replacement from {w: 2, b: 2, s: 6, o: 1, y: 1}. What is prob of picking 2 s? 5/22 Calculate prob of picking 1 f, 1 k, and 2 g when four letters picked without replacement from kfgkkkkkffgkfgg. 8/65 Calculate prob of picking 3 j when three letters picked without replacement from jjjeejeejejej. 35/286 What is prob of picking 2 h and 2 x when four letters picked without replacement from {i: 1, p: 1, h: 2, x: 2}? 1/15 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {c: 11, h: 2}. 11/39 Two letters picked without replacement from {u: 1, c: 2, a: 4}. Give prob of picking 1 c and 1 u. 2/21 Two letters picked without replacement from dxzvxzzzz. Give prob of picking 1 v and 1 z. 5/36 What is prob of picking 1 t and 1 u when two letters picked without replacement from zzllozqzqtqzlu? 1/91 What is prob of picking 4 r when four letters picked without replacement from {r: 5}? 1 Two letters picked without replacement from {y: 5, o: 1, c: 7}. Give prob of picking 2 c. 7/26 What is prob of picking 1 d and 2 i when three letters picked without replacement from {w: 4, i: 6, d: 4, h: 1, y: 1}? 3/28 Calculate prob of picking 2 t and 1 n when three letters picked without replacement from {n: 2, t: 2, b: 8, d: 5, x: 1}. 1/408 Three letters picked without replacement from {o: 3, t: 7}. What is prob of picking 3 t? 7/24 Three letters picked without replacement from {h: 1, l: 1, u: 2, t: 3}. What is prob of picking 1 u and 2 t? 6/35 Two letter
{ "pile_set_name": "DM Mathematics" }
reater than 39? False Do -9 and 4/7 have different values? True Which is bigger: 0 or -2/183073? 0 Which is bigger: 2335 or 1? 2335 Which is bigger: 415 or 413? 415 Is 2/553 less than 1? True Which is smaller: 0.121 or -6? -6 Are 0.2 and 2/1057 unequal? True Which is bigger: 1/157 or 0? 1/157 Is 3/22982 greater than -1? True Which is smaller: -80 or -78? -80 Which is smaller: 0.98 or 1? 0.98 Which is greater: 2519 or 2518? 2519 Is 10 less than -93? False Which is smaller: 25 or 24? 24 Which is bigger: 26/15 or 2? 2 Is 29744 less than 29744? False Is 1282 at most as big as 1283? True Which is smaller: 0.04 or -0.1? -0.1 Is -4367/6 != -728? True Is -8316 not equal to -8318? True Which is greater: -23734/7 or -3392? -23734/7 Is 2314 < 2316? True Are -1135 and -1136 unequal? True Is -82 smaller than -82? False Is -50 >= -1155/23? True Is -9/5063 greater than -1? True Is 58 > 58? False Is 5/3722 less than -1? False Is -4/25 less than 1/4? True Which is greater: -133 or -122? -122 Which is bigger: -1 or -312? -1 Is -2/11 not equal to -0.106? True Is 6 at most -3.2? False Which is smaller: 85 or 51? 51 Is 660 greater than 658? True Is 772 bigger than 775? False Which is greater: -66/31 or -3? -66/31 Are 0 and 1/9 equal? False Is -1 less than -4/4431? True Which is greater: 1 or -11/49? 1 Which is smaller: 161 or 160? 160 Is -108 at most -109? False Do 2/981 and 1 have the same value? False Which is smaller: 2/87 or -1/49? -1/49 Which is bigger: -1 or -15/2261? -15/2261 Is 0 bigger than -19/251? True Which is smaller: -15 or 282? -15 Which is smaller: 0 or -2/471? -2/471 Is -1 < -8/5? False Which is bigger: -26 or -27? -26 Which is smaller: 4 or 3? 3 Which is smaller: 2/5 or 30049? 2/5 Which is smaller: 0 or -3/1873? -3/1873 Which is bigger: -0.209 or -5? -0.209 Are -64 and -68 nonequal? True Is 372/7 smaller than 52? False Is -1 not equal to 910/33? True Which is smaller: 5/371 or 0? 0 Which is greater: -30/37 or -1? -30/37 Is 25 bigger than -2/23? True Which is smaller: 40/9 or 1? 1 Which is bigger: -189 or -1? -1 Which is greater: 1 or 2/7081? 1 Which is bigger: 25/27 or 2? 2 Which is smaller: -5746 or -5747? -5747 Is -1344/5 greater than -270? True Is 0 smaller than -2/19303? False Is -10/963 equal to 1? False Do -9/1003 and -1 have different values? True Which is bigger: 34/7 or -4? 34/7 Is 0.36 >= 16.2? False Is -7/254 > -1? True Which is greater: 614/3 or 205? 205 Which is smaller: -2/5 or -2719? -2719 Which is smaller: -118/27 or -3? -118/27 Which is bigger: 3/3125 or 0? 3/3125 Which is smaller: 0 or -5/519? -5/519 Which is smaller: 1 or 0.1967? 0.1967 Which is bigger: 1 or -4/985? 1 Do -968 and -967 have different values? True Which is greater: -1/2 or 111? 111 Which is greater: 7/2 or 132/7? 132/7 Are -5 and -171/29 non-equal? True Which is smaller: -25 or -199/8? -25 Which is smaller: 5627 or 5629? 5627 Which is smaller: -9 or -3? -9 Is -1 smaller than -1/244? True Does -8 = -12? False Which is smaller: -15 or -11? -15 Which is smaller: -1/4706 or 1? -1/4706 Which is smaller: 13 or -1.46? -1.46 Do -173 and -159 have the same value? False Is -18 < -34? False Is -126 >= -130? True Which is smaller: -89/44 or -1? -89/44 Are -1/1398 and -1/2 nonequal? True Is 1 less than or equal to 41/337? False Are 2 and 0.228 nonequal? True Which is greater: 1631 or 13039/8? 1631 Is -34 greater than -3? False Which is smaller: -599 or -0.05? -599 Which is smaller: -622 or -626? -626 Is 443 > 446? False Which is smaller: -4/21 or 1? -4/21 Which is greater: -71/9 or -15? -71/9 Which is greater: 57/10 or 5? 57/10 Which is smaller: -83 or -86? -86 Is 22 >= 13? True Is -1 equal to -23/395? False Which is smaller: 1124/25 or 44? 44 Is -159 less than -159? False Which is smaller: 3 or 27/11? 27/11 Which is bigger: -462 or -459? -459 Which is smaller: 2 or 1/68? 1/68 Which is smaller: -133 or -4674/35? -4674/35 Which is bigger: 4.9 or 26? 26 Is 896 not equal to 1/5? True Are 3 and -26 equal? False Which is smaller: 235 or -2/9? -2/9 Which is smaller: 0.04757 or 1? 0.04757 Do -78 and -84 have the same value? False Is 13/1461 at most 0? False Is 6510 less than 6507? False Which is smaller: 2731/3 or 910? 910 Is -1 != 71/20? True Which is bigger: 9.8 or 1.5? 9.8 Is -1124 at least -1126? True Do -0.1 and 0.0016 have different values? True Which is greater: 1 or 144? 144 Is 0 < 1/2081? True Which is smaller: -15 or -19? -19 Which is smaller: 33 or 35? 33 Is 1 at most as big as -2/1011? False Which is bigger: 0 or -2/118091? 0 Do -1 and -1.2 have the same value? False Is -2 bigger than -123? True Which is greater: -207 or -216? -207 Which is smaller: 1 or 4/243? 4/243 Which is smaller: -1/2187 or 0? -1/2187 Which is smaller: 1743 or 0? 0 Which is smaller: -44552 or -44551? -44552 Is 0.253 less than or equal to 15? True Which is bigger: -13/4 or -7? -13/4 Is 841 at most as big as 841? True Is -15 not equal to -22? True Is -2/7027 bigger than -1? True Are 18/211 and -1 equal? False Which is bigger: 1 or 30/79? 1 Which is smaller: 2331 or 2332? 2331 Which is bigger: -4 or -10.8? -4 Do -22 and 4 have the same value? False Is -22 != 19? True Is -11258 at most as big as -11259? False Which is smaller: -1 or 2/3085? -1 Is -2849 at most -2851? False Is -1/20 at least -1.94? True Do 60/703 and 0 have the same value? False Is -1 less than -16/1801? True Is 47.6 less than -2/7? False Is -12293 >= -12293? True Which is bigger: 1 or 50/579? 1 Do 116/11 and 12 have different values? True Do 49.3 and -0.1 have different values? True Is 325 >= -1? True Is 22 less than or equal to -4/5? False Is 4/1021 <= -1? False Which is greater: 488 or 502? 502 Which is greater: -83 or -61? -61 Which is smaller: 114 or 2/3? 2/3 Which is smaller: -5672 or -5674? -5674 Which is bigger: -687 or -686? -686 Which is smaller: -1 or -9/206? -1 Is -526 bigger than -526? False Which is bigger: -52 or -69? -52 Which is bigger: 0.094 or 0? 0.094 Do -1/25 and 5 have the same value? False Which is smaller: -1 or 6/1607? -1 Which is smaller: 87 or 0? 0 Which is bigger: -962/15 or -63? -63 Which is greater: 2/3393 or -1? 2/3393 Do -148 and -89 have the same value? False Which is smaller: 0.1 or 101? 0.1 Which is smaller: 619 or 609? 609 Is 11 > 11? False Which is smaller: -1 or -2/869? -1 Is 30 <= 58? True Is 0 bigger than 12.45? False Which is smaller: 8 or -10? -10 Which is smaller: 1 or 2/471? 2/471 Which is smaller: 1/1191 or 1? 1/1191 Is -2699 less than -2698? True Is -270 greater than -2426/9? False Does 1 = -84? False Is -4691 greater than -4694? True Is -2 at least as big as 10? False Which is greater: -42/67 or -1? -42/67 Is 1/5443 at most -1? False Is -1688 <= -1687? True Is 1 < 2/7663? False Is 24 at most 19? False Which is greater: -80 or -72? -72 Which is smaller: 21.5 or -1/2? -1/2 Is -55 at most -55? True Which is smaller: 1442 or 1446? 1442 Is -6 bigger than -6? False Is -315 != 38? True Is -0.3 at most as big as 227? True Is 0 > -1/14949? True Is -140/187 smaller than -1? False Are -5/6 and 0.03 nonequal? True Which is smaller: 1/2989 or 0? 0 Is -1340.9 bigger than -1? False Is 52 greater than 12/37? True Is -1 greater than 14/7521? False Does -44/729 = 0? False Which is greater: -3/8000 or 0? 0 Is 117/19 <= 7? True Which is bigger: 4/145 or 0? 4/145 Is 1 not equal to 110.8? True Which is smaller: 1/10 or 857? 1/10 Are 0 and -4/813 nonequal? True Which is greater: -804 or -803? -803 Is -1685 at most as big as -1683? True Which is greater: -1 or -3/289? -3/289 Is -8 less than -28? False Is -3 > -73/31? False Which is bigger: 0 or 587? 587 Is 1.3 equal to 1/15? False Which is smaller: 1 or 11/42? 11/42 Are 2489 and 2490 equal? False Which is greater: 61 or -0.25? 61 Is 0 at most -1/459? False Is -21 > 49? False Is 164 > 163? True Which is smaller: -209 or -212? -212 Is -113 less than -120? False Is -2/26445 smaller than -1? False Which is bigger: 12 or 19? 19 Which is greater: -1 or 57/277? 57/277 Is -1 less than or equal to -3/526? True Is -13084/7 >= -1868? False Which is greater: 0.1 or -1204? 0.1 Is 244/9 at most as big as 28? True Is 7/3432 > 0? True Is -22 at least as big as -152/7? False Is 1 less than 26/19? True Which is smaller: 97/5 or 2/5? 2/5 Which is greater: -11 or -31? -11 Is -1/2
{ "pile_set_name": "DM Mathematics" }
.9. Let c = -2 - -2.4. Sort c, o, -3/7 in decreasing order. c, o, -3/7 Let w = -4 + 6. Suppose 0 = -2*h - 12 + w. Sort -2, -3, h in increasing order. h, -3, -2 Let z = -1 + 2. Let r be -4*z*2/(-4). Put 0, r, -2 in descending order. r, 0, -2 Let x = -7.3 - -7. Let c = 2.2 + 0.8. Let j = 0.35 - 0.15. Sort j, x, c. x, j, c Let l be (12/10)/((-2)/(-5)). Sort -1, 1, l in ascending order. -1, 1, l Suppose -5*d = -27 - 23. Let a be -2 + (-22)/d + 4. Sort -5, a, 5 in descending order. 5, a, -5 Let l be 6/(-4)*15/((-405)/36). Put -3, 3, -2, l in increasing order. -3, -2, l, 3 Let x = -21 - -17. Sort x, 1/3, 0.6, -3/4. x, -3/4, 1/3, 0.6 Let v = 97 + -105. Put -0.5, 3, v in descending order. 3, -0.5, v Let c = 1.2 + -0.2. Put -4, -0.4, c in descending order. c, -0.4, -4 Let o(w) = -2*w - 2. Let z be o(-3). Suppose -z*h = 3 + 9. Put h, -2, 2/7 in decreasing order. 2/7, -2, h Let b be -2*5/(-10)*(-4 + 3). Put 2, -3, b in decreasing order. 2, b, -3 Suppose 7 + 9 = 4*f. Let k be f/(-6) + (-11)/(-3). Let j = 5 - 3. Sort j, k, 0 in decreasing order. k, j, 0 Let v be -1*(10/(-5) - -7). Put v, 11, 5 in decreasing order. 11, 5, v Let n = 39.2 - 39. Put 0.4, n, 0.8 in ascending order. n, 0.4, 0.8 Suppose 5*v - 85 = 5*n, -11 = -v - 2*n + 15. Suppose -2*c = g + g, 5*c - v = -g. Sort -2/9, g, 5. g, -2/9, 5 Let j = 1.68 + -1.68. Let f = 0.1 + -0.2. Put 3, f, j in decreasing order. 3, j, f Let h be 8/(-16) - 7/(-2). Suppose 5*x = v - 0*x + 8, 0 = -4*v - h*x - 9. Sort v, -4, -5. -5, -4, v Let a = 10 - -3. Let h = a + -17. Let g(m) = m**3 + 2. Let o be g(0). Sort 0.4, o, h. h, 0.4, o Let u = 0.04 - -0.46. Suppose -2*a - 11 + 27 = -2*x, -4*a = 5*x - 41. Let l = a - 5. Sort 0.3, l, u. 0.3, u, l Let y = -7 - -7. Suppose 2*o - f + y*f - 13 = 0, 3*f = 4*o - 27. Let z be 2 + (-2 - -2 - o). Put 3, -2, z in decreasing order. 3, -2, z Let j(p) = p**3 - 11*p**2 + 21*p + 28. Let t be j(8). Suppose -3*w + 1 = -2*w. Put t, 5, w in decreasing order. 5, t, w Suppose 2*z + 20 = -2*z. Let c be (2 + (-32)/10)*z. Let t(i) = i**3 - 7*i**2 + 5*i + 5. Let h be t(c). Put -2, 2, h in increasing order. -2, h, 2 Let p = -9.2 - -9. Let y = -304 + 2732/9. Put y, p, 1 in descending order. 1, p, y Let n = 1.21 + -0.01. Let p = n - 1.7. Sort -1, -2/7, p in decreasing order. -2/7, p, -1 Let u(q) = q**2 + 14*q + 17. Let g be u(-13). Suppose -12 = -g*y + y. Put 1, y, -4 in decreasing order. y, 1, -4 Let m = -11 - -19. Let n = -0.295 + -0.005. Put n, 2/11, m in increasing order. n, 2/11, m Let f(s) = -s**2 + 9*s - 5. Let z be f(8). Let n = 3 - z. Suppose 4*r + 2*o - 2 = n, 0*r = 4*r + 4*o + 8. Put 1, r, 5 in decreasing order. 5, r, 1 Let h = -1.4 - -1. Suppose 8 = -2*f, -2*n + 2*f = -12 - 44. Suppose -5*p - n = 1. Sort h, p, -2 in descending order. h, -2, p Let m = -6 - -5.6. Let k be (4/(-44))/((-2)/(-4)). Sort m, k, 3 in decreasing order. 3, k, m Let u be 27/132 - 1 - 2/(-8). Let s = 1 - 0. Sort s, -4, u in decreasing order. s, u, -4 Let g be 4/(-18)*15/20. Let r = 0.25 - -0.05. Let j = 0 - r. Sort 4/5, g, j. j, g, 4/5 Let g = -58.6 - -59. Sort -5, 0.5, g, -2 in descending order. 0.5, g, -2, -5 Suppose -4*y = 6 + 2. Suppose -u = -4*u + 21. Suppose 4*k - 3*j + u = 0, -7*k = -2*k - 4*j + 10. Put k, y, -4 in increasing order. -4, y, k Let v = 4 + -4.01. Let p = 2.01 + v. Let b = 2.4 - p. Sort b, 2, 1 in ascending order. b, 1, 2 Let z be (3 - (-24)/(-6))*4*1. Sort -0.5, z, -0.4 in decreasing order. -0.4, -0.5, z Let i be 78/(-18) - (-2)/6. Let f be 3 + -2 + 5 + -1. Sort 1, i, f in descending order. f, 1, i Suppose 4*a + 20 = -0*a. Suppose -3*x - x = -20. Suppose 7 + 3 = -x*h. Sort h, a, 3. a, h, 3 Suppose 20 = 31*x - 27*x. Let i be -3 + ((-8)/2)/(-2). Sort i, x, -2 in descending order. x, i, -2 Let o be 2/8 - (-15)/30. Sort -2, o, -1 in ascending order. -2, -1, o Let o be 1*(22 + -1) - 2. Let k = -96/5 + o. Let a = 0 + 1. Sort a, 0, k. k, 0, a Let m be (10/105*3)/(-1). Put 3, m, 1/3 in descending order. 3, 1/3, m Suppose -4*f + f + 6 = -2*b, -f + b + 2 = 0. Suppose -f*i + 3*a - 9 = 0, i - 5*a = -0*a - 15. Sort -1, i, 1 in ascending order. -1, i, 1 Let x(k) = -k + 3. Let l be x(3). Sort l, -4, 4 in descending order. 4, l, -4 Let q be 24/(-324)*6/4. Sort q, 0, -4. -4, q, 0 Let b be 12/8 + (-36)/(-16)*14. Sort -4, b, -1 in descending order. b, -1, -4 Let v be (14/(-21))/(2/15). Sort -1, -4, v in increasing order. v, -4, -1 Let t be -18*1*(-1)/3. Let y be 3 - (-3 - -3 - 0). Let x = y - t. Sort x, -4, 4 in increasing order. -4, x, 4 Suppose -1 = -4*f - b - 2, 2*f - 2*b - 12 = 0. Sort 3, -4, f in increasing order. -4, f, 3 Let t = 19.4 - 19. Sort t, 2/3, 5/4 in decreasing order. 5/4, 2/3, t Let l(w) = -w**3 + 12*w**2 + 12*w - 2. Let z be l(13). Put -3, z, -1 in descending order. -1, -3, z Let p = -0.113 - 4.887. Sort p, -0.1, 0.1, 0 in descending order. 0.1, 0, -0.1, p Let w = -1 - -1. Let f(s) = s**3 - 5*s**2 - 9*s + 6. Let i be f(6). Let p be 2 + 21/i + -1. Sort -2/3, p, w in ascending order. p, -2/3, w Let k(z) = z**3 - 3*z**2 - 3*z - 3. Let v be k(4). Let f = v + -4. Let s = f - 2. Put s, 5, 2 in descending order. 5, 2, s Let w be ((-2)/(-30))/(6*(-5)/(-180)). Sort 12, w, 0.5. w, 0.5, 12 Let l = 455.98 + -452. Let o = l - -0.02. Let z = -48 + 142/3. Put -0.5, o, z in descending order. o, -0.5, z Let d(t) = 6*t + 189. Let f be d(-31). Let o(b) = b**3 - 6*b**2 + 4*b + 7. Let u be o(5). Put -5, f, u in descending order. f, u, -5 Let s(r) = -r**2 + 2*r + 5. Let g be s(4). Let j be (-5 - g)/((-6)/9). Put -3, 0, j in ascending order. -3, 0, j Let j(n) = -n**2 - 15*n + 24. Let o be j(-16). Put 5, o, 2 in increasing order. 2, 5, o Let n(f) = f + 12. Let z be n(-14). Put -1, z, 3 in decreasing order. 3, -1, z Let i = 190/77 - 24/11. Put -0.2, i, -1, 0.5 in descending order. 0.5, i, -0.2, -1 Let a = 4/51 + -7/17. Put 1.1, a, 2/5 in descending order. 1.1, 2/5, a Let s(t) = -3*t**2 - t + 1. Let d be s(1). Let j(z) = z - 11. Let x be j(7). Sort -2, x, d in descending order. -2, d, x Let y be -3 + 5 - 4/2. Let i be y - 2/3*6. Let k be 2/4*i/6. Put -2/11, k, -5 in decreasing order. -2/11, k, -5 Let y = -9.2 - -8. Let u = y + -3.8. Put -3, -0.3, u in ascending order. u, -3, -0.3 Let r = 15 + -15.04. Sort 0.2, r, -5. -5, r, 0.2 Let i = 0 - -26. Let a = 25.6 - i. Sort -1, 5, a in decreasing order. 5, a, -1 Let n = 0.03 - 15.03. Let q = n - -12. Sort -1, 0.3, q in decreasing order. 0.3, -1, q Let q = -2 + 1.98. Let o = 0.08 - -0.4. Let n = q - o. Put n, 3, -1 in descending order. 3, n, -1 Let o = 43 + -39. Put o, -7, 1, 5 in descending order. 5, o, 1, -7 Suppose 8*w + 180 = 3*w. Let z be -2 - (w/(-5))/(-3). Let c = -0.8 - -0.3. Put 0.1, c, z in decreasing order. z, 0.1, c Let y(c) = 1 + 0*c + c - 4. Let k be y(5). Sort 3, k, 0. 0, k, 3 Let c = 88/3 + -30. Put 3, c, 1/6, 1 in decreasing order. 3, 1, 1/6, c Suppose -4*d + 5*d = 14. Let h be ((-8)/10)/(d/(-5)). Suppose -4*g + 5*m + 12 - 1 = 0, 2*m = 3*g - 3. Put 5/3, g, h in increasing order. g, h, 5/3 Let t = -40.7 + 36. Let o = -5 - t. Put 2, o, -5 in increasing order. -5, o, 2 Let s be 2 - 1 - (-14)/(-35). Let l = -9/2 + 3. Sort 1/8, s, l in decreasing order. s, 1/8, l Suppose 0 = -2*v - v. Suppose 0 = -4*d, v = 2*i + d + 2*d + 4. Let m be 3/6 - (-9)/i. Sort m, 1, -3. m, -3, 1 Let g = -8.85 - 0.15. Let n = 8.9 + g. Put 7, -2, n in increasing order. -2, n, 7 Let b be (-138)/759 - 2/(-11). Suppose 0*q - 2 = -2*q. Suppose -33 = 5*c - 2*n, 3*n - 17 = -2*c + 3*c. Sort b, c, q. c, b, q Let m be 1255/5*1/4. Suppose -2*i - 2*z + 136 = -0*i, 3*z - 78 = -i. Let u = m - i. Sort -6/5, 3, u in increasing order. -6/5, u, 3 Suppose 0*h - 20 = -5*h. Let z(u) = -u**2 + 6*u - 6. Let k be z(h). Suppose -3*b = -4*c + 1, -2*b + 5*b = -4*c + 7. Sort -0.5, k, b. -0.5, b, k Let s(y) = -4*y - 1. Let c be s(1). Let t = c + 4. Let m(n) = n**2 - n - 5. Let f be m(0). Put 3, t, f in descending order. 3, t, f Suppose 2*q = 6*q + 8. Let h(s) = s**3 + 17*s**2 - 18*s - 6. Let b be h(-18). Sort -3, q, b. b, -3, q Suppose -2*i = -4*t + 2*t + 14, -3*i = t + 13. Sort -1, -33, t in increasing order. -33, -1, t Suppose -2*l = 2*c - 7*c + 2, 3*l = -5*c - 3. Let r be ((-5)/(-4) + l)*4. Put -3, r, -2 in increasing order. -3, -2, r Let q = 0.2 + -0.2. Let f = q + -1. Let b = -14.7 - -14.7. Sort -4, b, f in descendi
{ "pile_set_name": "DM Mathematics" }
168*k. What is y(u(v))? 88312896*v**2 - 3024*v Let z(t) = 5935*t - 5. Let h(o) = -6*o**2. Give z(h(q)). -35610*q**2 - 5 Let k(f) = -1057*f. Let g(r) be the first derivative of -r**2 - 1840. What is k(g(d))? 2114*d Let j(p) be the first derivative of 0*p - 184 + 0*p**2 - 1/3*p**3. Let c(n) be the second derivative of -7*n**3/6 + n. Calculate c(j(h)). 7*h**2 Let v(t) = 229*t**2. Let p(o) = 0*o + 0*o + 1553*o**2 - 3095*o**2 + 1537*o**2. What is v(p(a))? 5725*a**4 Let k(r) = -26123*r - 2. Let h(s) = 2497*s**2. Calculate k(h(p)). -65229131*p**2 - 2 Let m(v) = 2*v**2. Let n(l) be the first derivative of 21*l - 49*l - 42*l**2 + 28*l - 53. Calculate m(n(b)). 14112*b**2 Let c(w) be the second derivative of -7*w**4/6 + w. Suppose 3*z + 4*r - 203 = -0*z, -z = 3*r - 61. Let g(u) = 40*u + 34*u - z*u. What is g(c(k))? -14*k**2 Let p(n) = -4*n. Let y(d) be the second derivative of d**3 + 5*d + 31. What is p(y(x))? -24*x Suppose 22 - 42 = -10*d. Let v(f) = -26 + 26 - 6*f**d + 7*f**2. Let k(h) be the first derivative of -9*h**3 - 3. What is v(k(y))? 729*y**4 Let r(d) = 10*d**2. Let i(l) = -150*l**2 - 27*l - 9. Let c(n) = -75*n**2 - 12*n - 4. Let k(h) = -9*c(h) + 4*i(h). Give r(k(p)). 56250*p**4 Let q(c) = -c - 6. Let k be q(-9). Let h(l) = l - 2*l - k*l + 3*l. Let s(z) = -7 + 643*z**2 - 642*z**2 - 13 + 20. Calculate h(s(r)). -r**2 Let u = 3 - -2. Let s(o) = -o**2 - 5*o**2 + u*o**2. Let k(b) = -2*b. Give k(s(y)). 2*y**2 Let b(h) = 2*h**2 + 21*h. Let l(u) = -253*u + 671*u - 363*u. Give b(l(c)). 6050*c**2 + 1155*c Let g = -4 - -6. Let c(f) = 0*f**g + 0*f**2 - f**2. Let z(q) be the third derivative of -11*q**4/24 + 7639*q**2. Give z(c(k)). 11*k**2 Let b(c) = -726175*c**2. Let u(k) = -495*k**2. Determine b(u(d)). -177931029375*d**4 Let q(v) = 106165*v**2 + 37*v + 2. Let w(j) = -3*j**2. Give q(w(o)). 955485*o**4 - 111*o**2 + 2 Let n(r) = -2*r. Let c(o) = 183913613*o. Give c(n(h)). -367827226*h Let f(t) = t. Let l(c) be the first derivative of 596*c**3/3 + 9*c + 5746. What is f(l(a))? 596*a**2 + 9 Let b be -26*(-4)/(-8)*-1. Let r(p) = -12*p + 4*p - b*p. Let z(s) = 2*s. Let i(y) = -y. Let t(h) = -11*i(h) - 6*z(h). What is r(t(f))? 21*f Let m(q) = -135 - 1045*q + 1059*q + 128. Let s(v) = -2*v**2. Calculate m(s(a)). -28*a**2 - 7 Let t(c) = -9*c. Let b(x) be the third derivative of -227*x**4/24 - 121*x**2 - x. What is b(t(a))? 2043*a Let y(o) = -293*o - 100. Let a(x) = 147*x + 60. Let j(t) = -10*a(t) - 6*y(t). Let w(q) = -7*q**2. Give w(j(i)). -580608*i**2 Let d(r) be the second derivative of 14*r**3/3 - 2941*r. Let z(q) = -4 + 2*q - 1 + 5. Determine z(d(l)). 56*l Let z(y) = -4*y - 7. Let j(i) = i + 2. Let a(w) = 14*j(w) + 4*z(w). Let h(t) = 2*t + 4. Let s(l) = -53*l - 14. Let c(f) = -3*h(f) - s(f). Give a(c(o)). -94*o - 4 Let f(d) = d. Let l = 871 + -101. Let b(a) = 1536*a**2 - l*a**2 - 794*a**2. Give f(b(w)). -28*w**2 Let h(z) = 264*z - 7903. Let b(f) = -13*f. What is b(h(q))? -3432*q + 102739 Let c(n) = 7*n**2. Let j(z) = 20140*z**2 - z - 3. What is j(c(h))? 986860*h**4 - 7*h**2 - 3 Let x(d) = 77 - 152 + 13*d**2 + 75. Let u(j) = 581*j**2 - 592*j**2 + 2*j - 2*j. What is x(u(b))? 1573*b**4 Let n = 54 - 37. Let g(c) = -8*c**2 + 13*c**2 - n*c**2. Let o(w) = -7*w + 8*w - 2*w. Give o(g(q)). 12*q**2 Let b(a) be the first derivative of a**3/6 + 3*a - 5. Let t(j) be the first derivative of b(j). Let l(f) = 2 + 0*f - 4*f + 9*f + 5*f + 0*f. Calculate t(l(u)). 10*u + 2 Let c(v) be the third derivative of 45*v**4/8 - 4*v**2 - 2. Let r(g) = 9 + 0*g - 2 + 3*g - 7. Calculate r(c(i)). 405*i Let k(u) = -2*u. Let z(n) be the second derivative of 23/6*n**3 + 0 - 17*n - 1/2*n**2. Calculate k(z(h)). -46*h + 2 Let t(k) = -2*k. Let y(g) be the third derivative of -11*g**5/24 - 25*g**3/3 - 77*g**2. Let l(j) be the first derivative of y(j). Calculate t(l(d)). 110*d Let k(f) be the first derivative of 2*f**3/3 + 34. Let w(o) = -112*o + 196. Let j(r) = -7*r + 12. Let c(u) = 49*j(u) - 3*w(u). Calculate c(k(t)). -14*t**2 Let g(h) = -47*h - 176. Let o(j) = 7170*j**2. Calculate g(o(l)). -336990*l**2 - 176 Let b(p) = -29*p**2. Let f be (1 - 3/6) + (-202)/404. Let t(z) be the second derivative of 0*z**2 + 1/3*z**3 + 29*z + f. What is b(t(n))? -116*n**2 Let o(d) be the third derivative of 1513*d**5/60 - 8*d**2 + d + 3. Let t(a) = -5*a. Give o(t(j)). 37825*j**2 Let b(j) = 566102*j**2. Let g(i) = 942*i**2. Calculate g(b(p)). 301884128888568*p**4 Let p(k) be the first derivative of 0*k + 1/8*k**4 + 11 + 0*k**3 - k**2. Let s(r) be the second derivative of p(r). Let i(n) = -2*n**2. What is i(s(w))? -18*w**2 Let d(g) = 3*g**2. Let p(c) = 41790*c**2 - 72*c. Let r(j) = -5970*j**2 + 10*j. Let o(k) = -5*p(k) - 36*r(k). Determine o(d(h)). 53730*h**4 Let j(w) = 5*w. Let s = 148/105 + -87/70. Let q(b) be the second derivative of 0 + 36*b + 0*b**2 + s*b**3. Determine q(j(n)). 5*n Let a(j) = 2*j + 9. Let c be (783/21 - 6/21) + -2. Let p = c - 39. Let s(t) = -t - 1. Let n(k) = p*a(k) - 36*s(k). Let x(f) = 2*f**2. What is n(x(d))? 56*d**2 Let i(p) = -p**2 - 6*p + 52327. Let v(q) = -3*q. Give v(i(x)). 3*x**2 + 18*x - 156981 Let g(r) = -3867*r + 292 - 586 + 294. Let v(d) = -2*d**2. Calculate v(g(j)). -29907378*j**2 Let a(h) = 34*h + 3 - 3. Let y(s) be the first derivative of -628 - 1/2*s**2 + 0*s. Give a(y(d)). -34*d Let g(n) = n**3 - 8*n**2 + 5*n - 35. Let m be g(8). Let u(h) = -12*h**2 - m*h**2 + 5*h**2 - 3*h**2. Let b(s) = 11*s**2. Determine b(u(c)). 2475*c**4 Let w(r) be the first derivative of r**2 + 9. Let c = -202 + 378. Let n(q) = -36*q + c - 176. Give w(n(x)). -72*x Let o(x) = -2*x**2 + 676. Let f(n) = 23344*n**2. Give o(f(v)). -1089884672*v**4 + 676 Let i(x) = -123205428*x**2. Let y(m) = -m**2. What is y(i(c))? -15179577488663184*c**4 Suppose -23*k - 343 = -1815. Let x(u) = 183*u - 57*u - k*u - 61*u. Let i(p) = 9*p + 9*p + 3*p. Calculate x(i(q)). 21*q Let f(j) be the second derivative of 0 + 24*j - 2/3*j**4 + 0*j**3 + 0*j**2. Let a(y) = -29*y - 23*y + 60*y. Determine f(a(q)). -512*q**2 Let f(w) = 22*w. Let i(p) = 8*p + 3. Let t(x) = 61*x + 25. Let v(n) = -550*n - 225. Let l(g) = 35*t(g) + 4*v(g). Let a(q) = 25*i(q) + 3*l(q). What is f(a(m))? 110*m Let p(a) = -8*a - 335. Let r(v) = -19*v. What is r(p(j))? 152*j + 6365 Let v(i) be the second derivative of i**4/6 + 7*i. Let w(m) = -67*m**2 - m + 90*m**2 + m. Determine w(v(t)). 92*t**4 Let z(h) = 2*h + 21. Let l(p) = 5*p + 49. Let r(o) = -3*l(o) + 7*z(o). Suppose -5*x = -12 - 58. Let t(g) = 1 + x*g**2 - 1 - 4*g**2. Determine t(r(b)). 10*b**2 Let v(s) = 2*s + 16. Let g be v(-7). Suppose 1 = -y, -g*l + 13 = 3*l + 2*y. Let w(q) = 51 - 51 + l*q + q. Let u(a) = a. Calculate u(w(n)). 4*n Let b(l) = -10*l. Let w(k) = -2336104*k. Give w(b(d)). 23361040*d Let w(y) = -3*y. Let f be (-10 + 16 + -6)/(10/5). Let h(c) be the second derivative of 0*c**3 + 0*c**2 - 6*c + f + 1/6*c**4. What is w(h(s))? -6*s**2 Let h(c) = 27*c**2. Let d(r) = -2*r**2 - 5*r + 29. Let y be d(-5). Let i(g) = 4. Let m(s) = s - 10. Let j(a) = y*m(a) + 10*i(a). Determine j(h(l)). 108*l**2 Let p(v) = 67*v. Let i(f) = 35*f + 5. Let r(q) = -25*q - 3. Let x(j) = -6*i(j) - 10*r(j). What is x(p(a))? 2680*a Let b(x) = 238832*x. Let w(y) = -5*y + 40. Calculate b(w(m)). -1194160*m + 9553280 Let s(g) = -4*g**2 - 35*g + 14. Let d(k) = 3*k**2 + 25*k - 10. Let b(n) = -7*d(n) - 5*s(n). Let h(j) = -42*j**2 - 26. Determine b(h(a)). -1764*a**4 - 2184*a**2 - 676 Let v(t) = 23*t + 0 + 1 - 1 - 56*t. Let o(f) be the first derivative of -f**2 + 18. Calculate v(o(y)). 66*y Let w(a) = a + 7844084. Let q(f) = -3*f**2. Determine w(q(y)). -3*y**2 + 7844084 Suppose -12*t = 50 - 2. Let f(r) = -7*r. Let z(p) = 6*p. Let x(u) = t*f(u) - 5*z(u). Let s(c) = -2*c. Determine x(s(k)). 4*k Let z(x) = -x**2. Let j(a) = -7*a**2 + 15*a**2 + 3917 + 3910 - 7681. Determine j(z(y)). 8*y**4 + 146 Let d(b) be the first derivative of b**3/3 - 4176. Let u(w) = -4 - 3*w - 4 + 3 + 3. Calculate d(u(c)). 9*c**2 + 12*c + 4 Let b(j) = -7*j**2 - 24. Let x(m) = -m**2 - 3. Let d(y) = 5*b(y) - 40*x(y). Let i(c) = -1. Let u(s) = 12*s + 16. Let k(z) = 16*i(z) + u(z). Give k(d(v)). 60*v**2 Let l(q) be the first derivative of 15*q**3 - 309. Let z(c) = 8*c + 3. Let i(w) = w + 1. Let n(j) = -3*i(j) + z(j). Determine n(l(m)). 225*m**2 Let z(h) = 4*h**2. Let g be (1
{ "pile_set_name": "DM Mathematics" }
lculate the greatest common divisor of p and 91. 13 Let s be (46/(-8))/((-2)/16). Suppose -5*u - s = -4*m, 2*m + u = -2*m + 58. Suppose -r + m = r. Calculate the greatest common divisor of 7 and r. 7 Suppose 4*w + 172 = 4*d, -6*d = -2*d - 3*w - 172. Suppose -n - 10 = -d. Let t = n + -13. What is the highest common divisor of 20 and t? 20 Let f be (-96)/14 + 2/(-14). Let c be (f - -30) + (-9)/3. What is the greatest common divisor of c and 30? 10 Let r be 5 + -8 + (2 - 1). Let i(d) = 2*d**3 - d**2 + 3*d + 3. Let b be i(r). Let q = -8 - b. What is the greatest common factor of 105 and q? 15 Let g = 451 - 306. What is the highest common divisor of 580 and g? 145 Suppose 0 = -4*u + 16, 0*l - 5*l + 2*u = -267. Let h be -3 - 111/((-3)/1). Let i be (187/h)/(2/4). What is the highest common divisor of i and l? 11 Let l be (-1*130)/(-5) - 2. Calculate the highest common factor of 132 and l. 12 Let u = -90 + 77. Let k(l) = l**2 + 10*l - 6. Let z be k(-8). Let j = u - z. Calculate the greatest common divisor of j and 18. 9 Let c(h) = -h**3 - 9*h**2 + h + 11. Let w be c(-9). Suppose n = 3*n - 8, -3*f = -w*n + 5. Let y = 13 + -8. What is the highest common factor of f and y? 1 Suppose -2*m + 9 = -19. Let o(g) = -m*g - 25*g - 1 - 10*g. Let a be o(-1). What is the highest common factor of 16 and a? 16 Let t(o) = -333*o**3 + o**2 + o. Let k be t(-1). Calculate the highest common factor of k and 27. 9 Suppose 0*i - 4*i = 0, -2*o = 3*i - 4. Let y(n) = 10 - 13 + n**2 + n - 2*n**2 + o*n**2. Let s be y(-4). Calculate the greatest common factor of s and 9. 9 Let k be -5*(-2 + (-32)/10). Let r be 1/(-1 + k/24). Suppose -3*j - 4*c + 40 = 0, -7*j + 31 = -4*j - 5*c. Calculate the greatest common divisor of r and j. 12 Suppose y - 64 - 76 = 0. Let t(z) = 10*z - 4. Let g be t(6). What is the greatest common divisor of g and y? 28 Let t = 967 - 697. What is the highest common divisor of 510 and t? 30 Let p = 306 + -301. Calculate the highest common divisor of 60 and p. 5 Let m = -214 - -299. Calculate the highest common factor of 17 and m. 17 Suppose -3*j - 7 = -64. Let o = j + -8. Suppose 10*p - 44 = 6*p. Calculate the greatest common factor of p and o. 11 Let t(w) = 10*w - 483. Let u be t(57). Calculate the highest common factor of u and 406. 29 Let m = -10 + 163. What is the highest common factor of 17 and m? 17 Let c(q) = -15*q**3 - 3*q**2 - 5*q - 2. Let b be c(-1). Calculate the greatest common divisor of b and 375. 15 Suppose 0 = q - 4*k - 67, 30*q - 25*q - 4*k - 271 = 0. What is the highest common factor of q and 1173? 51 Let o = -7 + 1. Let l(a) = 4*a - 8. Let z be l(9). Let p = o + z. Calculate the highest common divisor of 55 and p. 11 Suppose -4*q + 26 = b - 15, 0 = -2*b - 6. Calculate the highest common factor of 77 and q. 11 Suppose 125*z = 119*z + 4818. What is the highest common divisor of 11 and z? 11 Suppose 19*c = 713 + 427. What is the greatest common factor of c and 1335? 15 Suppose -14*y = -3223 - 1243. Calculate the greatest common divisor of y and 11. 11 Suppose -8*y + 4590 = 22*y. What is the greatest common divisor of y and 6? 3 Let i be -44*(0 - 1 - 1). Suppose -53 - 592 = -3*p + 3*j, -200 = -p + 4*j. Calculate the highest common factor of p and i. 44 Suppose -11 = i - 2*i. Let p be 4 - (-4 - -2 - 36). Let x = 75 - p. Calculate the greatest common factor of x and i. 11 Let n = -411 - -477. What is the highest common divisor of n and 627? 33 Let w(a) = -3*a**2 - 4*a. Let f be w(-3). Let z be (-279)/f - 6/(-15). Suppose 4*g - 830 = 4*d - d, -4 = -2*d. What is the highest common divisor of z and g? 19 Let h = -715 + 762. Calculate the greatest common factor of 329 and h. 47 Suppose 0 = 5*v + 26*u - 22*u - 189, -v + u = -45. Calculate the highest common divisor of v and 697. 41 Suppose 5*k - 67 = 43. Suppose -4*n + k = -34. What is the highest common factor of 154 and n? 14 Let w = 2320 - 2281. Calculate the greatest common divisor of 75 and w. 3 Suppose -4*h + 135 = -13. Suppose -35 = -2*b + h. Let f(m) = m - 3. Let c be f(15). Calculate the greatest common factor of c and b. 12 Let m(s) = s**2 + 7*s + 2. Let c be 50/18 + 2/9. Suppose -6 = -c*u + 4*p, -u = -5*p + 7 + 2. Let o be m(u). What is the highest common factor of 20 and o? 20 Let a be -2 + (2*-28)/(-1). Let z = a + -23. Calculate the greatest common divisor of 217 and z. 31 Let p = -50 - -30. Let d = p + 20. Let u = d + 11. Calculate the greatest common factor of u and 55. 11 Suppose -28 = -r - 25. Suppose -5*f - 2*g + 390 = -7*g, 0 = r*g. Calculate the greatest common divisor of f and 52. 26 Let c(v) = -34*v + 6. Let z be c(-3). Let l be 1*(-2)/4*4. Let w be (l/(-4))/((-2)/(-48)). What is the greatest common divisor of z and w? 12 Let u(h) = -h**3 + 12*h**2 - 10*h - 2. Let z be u(11). Let s(r) = r**3 + 11*r**2 + 2*r - 9. Let v be s(-9). Calculate the highest common divisor of v and z. 9 Let w(g) = g**3 - 18*g**2 - 102*g + 92. Let c be w(24). What is the highest common factor of 50 and c? 50 Suppose 3*x + 200 = -136. Let y be (0/(-2) + -1)*4. Let b be (x/y)/((-4)/(-10)). Calculate the highest common divisor of b and 14. 14 Let q = -1 + 3. Suppose -18*f = -9*f. Suppose -3*s - 2*n = -11, f*s - 5*s + 19 = 3*n. What is the greatest common divisor of q and s? 1 Let t = -239 + 562. What is the highest common factor of 19 and t? 19 Suppose -11603 = -30*p + 1147. Calculate the greatest common factor of p and 170. 85 Let l = 9 + -4. Let u be (-1)/(168/(-165) + (-3)/(-3)). What is the greatest common divisor of u and l? 5 Suppose 0 = -4*w - 208 + 56. Let o = 2 - w. Calculate the highest common divisor of o and 5. 5 Suppose 0 = 5*o - 5*z - 295, 7*z + 12 = 3*z. Suppose 0 = -5*x + 4*l + o, 3*x + 2*l - 53 = -15. What is the highest common divisor of x and 8? 4 Let z(b) = -102*b - 1. Let i be z(1). Let f = -53 - i. Suppose 0 = 2*q - f - 110. What is the greatest common divisor of 32 and q? 16 Let d(u) = u + 6. Let h be d(-5). Let v be (h/(-1))/((-1)/(-4)). Let x be 78/5 + v/(-10). What is the greatest common factor of x and 80? 16 Suppose -2*l - 424 + 604 = 0. What is the highest common divisor of l and 45? 45 Let g = 506 + -1545. Let f = g + 1497. Let r = f + -224. Calculate the greatest common factor of r and 39. 39 Suppose 0 = -3*r + 4380 - 954. Suppose 0 = -4*f - 246 + r. What is the greatest common factor of f and 32? 32 Let k(u) = u**3 - 12*u**2 + 12. Let s be 13 - ((-5)/(-25))/(2/10). Let q be k(s). What is the highest common divisor of 84 and q? 12 Let p(i) = -i**2 - 2*i + 17. Let w be p(-6). Let y be ((-6)/8)/(w/84). Calculate the greatest common factor of 63 and y. 9 Suppose -w = -22 - 6. Let t = -2130 + 2144. What is the highest common factor of t and w? 14 Suppose -5*n - 2*s = -264, 4*n + 3*s - 204 = -s. Calculate the greatest common divisor of n and 6. 6 Suppose 36*h - 127 = 3329. Calculate the highest common factor of h and 240. 48 Let y = -46 - -73. Suppose 0 = n - 4*t - 24, 4*n + 3*t - y - 50 = 0. Suppose 5*s - 192 = -92. What is the highest common factor of s and n? 20 Suppose -4*s - 2*k - 2*k + 48 = 0, 4*s - 3*k - 27 = 0. Let h(p) = p**3 - 4*p**2 + 2. Let t be h(5). Calculate the highest common divisor of s and t. 9 Let g be 1 + 314 - -1 - (19 + -15). Calculate the highest common factor of 12 and g. 12 Suppose 4*z = 33 - 17. Suppose 16 = -z*d + 5*d - 3*r, -2*r = 2*d - 8. What is the greatest common divisor of d and 7? 7 Let u(z) = z**2 + 2*z - 12. Let w be u(-6). Calculate the greatest common divisor of 120 and w. 12 Suppose 0 = 5*f + 3*j - 40, 12*j = -3*f + 13*j + 10. Calculate the highest common factor of 15 and f. 5 Let b be (-14 - 1)*(-280)/6. Let z = -414 + b. Suppose -4*c - i = -107, 2*c - 46 = -5*i + 21. What is the greatest common factor of z and c? 26 Suppose 660 = 5*v + k + k, -4*v + 528 = -4*k. Let x be 12/3 - (2 + -10). What is the greatest common factor of x and v? 12 Suppose 3*l + 4*i = -0*l + 48, 24 = 3*l - 4*i. What is the highest common factor of l and 69? 3 Suppose 0 = -3*b - 3*b. Let d(l) = -5*l + 180. Let s be d(b). What is the greatest common factor of s and 9? 9 Let t = -13 + 137. Suppose r - 3*h - t = 0, -2*r + 3*r = -2*h + 119. Calculate the greatest common divisor of 11 and r. 11 Suppose 3*h = -4*h + 217. Let n = 56 - h. What is the highest common divisor of
{ "pile_set_name": "DM Mathematics" }
/(-2). -5 Calculate ((-8)/(-12))/(5/(-3)). -2/5 247/65 + (-2)/(-10) 4 Calculate ((-2)/(-2))/(-2 + 195/91). 7 Calculate 0 - (75/(-30) - (-2)/4). 2 Evaluate (-21)/28 + ((-175)/(-20))/(-7). -2 What is the value of (2 - 224/(-119)) + -4? -2/17 What is (-2)/(-9) - 28/(-63)? 2/3 What is the value of -7 - (4026/(-54))/11? -2/9 What is the value of ((-1224)/(-54) + -20)*(-6)/8? -2 What is -63 + 68 + 7/(-18)*14? -4/9 Evaluate (23/115)/(6/(-10)). -1/3 Calculate -2*6/(-3) - 0. 4 Evaluate (-3)/(0 - 2/2). 3 5 + 0 + -18 + 7 + 4 -2 (5 - 0)*(1 + (-1 - 1)) -5 Calculate (-4 + 6)/((-12)/(-18)). 3 Evaluate (-6)/(-3) + -5 + -3. -6 Evaluate (-7)/182*4 + 80/182. 2/7 What is 1*(-8)/44 + (-8)/(-44)? 0 What is ((-33)/(-6) + -4 + -2)*0? 0 Evaluate (801/1780)/(6/8). 3/5 What is (9/(-14))/(9/(-6))? 3/7 (-6)/(-15) + 276/60 5 What is the value of (-104)/(-32) - ((-1 - 2) + 6)? 1/4 What is ((-51)/34)/((-1)/(-2))? -3 Evaluate ((-15)/9*-2)/((-8)/12). -5 Evaluate (2*-1)/((-6)/(9 - -3)). 4 Evaluate 88/198*(-6)/(-4). 2/3 Calculate 4 - (8 + 10) - -10. -4 (-18)/(-63)*-7 - 7 -9 What is the value of (-7)/4 + 2 + 24/160? 2/5 What is ((-16)/(-80))/(6/(-10))? -1/3 What is the value of (-4 - 31/(-7))*(-4)/(-6)? 2/7 Evaluate 16/(-56) + (-57)/21. -3 (9/81)/((-1)/(-12)) 4/3 What is the value of (-1)/(-7) + 40/14? 3 Evaluate (((-30)/9)/10)/(-1). 1/3 (1*-3)/(27 + -24) -1 What is the value of (63 - 65) + -1 + 4? 1 What is (-5)/(-10)*(15 - 9)? 3 What is ((-4)/12)/((-4)/(-6))? -1/2 Calculate ((-3)/5)/(-4*10/(-600)). -9 ((-4)/1)/28 - 451/77 -6 Evaluate (12/(-10))/(4/20) + 3. -3 Evaluate 11/(-44) - 15/40*-22. 8 What is the value of 8 + (-3 - (-35)/(-14))? 5/2 What is the value of (-2)/(40/(-4) - 1)? 2/11 What is the value of 231/(-252) - 2/(-8)? -2/3 What is the value of -3 + (128/(-320) - (-92)/30)? -1/3 What is -1*(-48)/(-60) + 48/10? 4 What is the value of ((-5)/(-1) - 1) + (-2 - 5)? -3 20/(-105)*(-28)/24 2/9 What is the value of (-744)/(-432) - 3/2? 2/9 Evaluate (19/(-76))/(14/(-8)). 1/7 What is (30/(-28) - (-16)/28) + 1? 1/2 1 - 1/(-3)*-6 -1 Evaluate ((-15)/(-20))/((-18)/(-16)). 2/3 Calculate ((-62)/14 - -4)/(-1). 3/7 Evaluate (42/28)/(6/(-8)). -2 Evaluate 2/(-4) + (-9 - -13 - 4). -1/2 What is the value of (-3)/(1/7*(-700)/(-40))? -6/5 Evaluate 14/(-3) - 3/(-1) - -1. -2/3 What is 4/(-16)*(3 - (-204)/(-36))? 2/3 Evaluate 3/2*(-16)/24. -1 What is 1/(3 - 52/16)? -4 0/(6/4*(-4)/(-3)) 0 (6/14)/(1026/1596) 2/3 Evaluate 5 + -1 + (3 - 7). 0 Calculate 8/(-70) - 100/(-250). 2/7 Evaluate ((-3)/45)/(16/(-96)). 2/5 What is (-33)/6 + -6 + 11? -1/2 What is the value of 4/(-15)*(-10)/12? 2/9 What is the value of 14/21 - 36/(-27)? 2 8/5 + (-9 + 5)/4 3/5 Calculate (-2)/(3/(-4)*(13 - -3)). 1/6 Calculate 0 + (-3 - 49/(-17)). -2/17 What is the value of -7 + 615/55 - 4? 2/11 935/(-136) - (-1 + -6) 1/8 What is the value of (-88)/(-234) + 250/90 + -3? 2/13 What is (36/(-27) - 0)/(4/6)? -2 (-7)/63*-1 - 8/(-36) 1/3 What is (-2 - (-72)/28)/(6/21)? 2 Evaluate ((-3)/(-4) - 1)*(-2 - -3). -1/4 Calculate (-20)/(-8)*(-32)/480. -1/6 Evaluate (3/5)/((56/70)/4). 3 Calculate (2/(-20))/(23/184). -4/5 Calculate (-1 + 13)*9/(-27) + 4. 0 What is the value of (-5)/((-15)/9)*(-4)/(-3)? 4 What is 0 + 4 - 13*1/2? -5/2 -4 + 3 - (-3 + 15/6) -1/2 Evaluate (-14)/((-7)/1) + (-1 - 2). -1 Evaluate (-8 - 8/7) + 9. -1/7 What is the value of 1116/162 + 1*-7? -1/9 What is 64/14 + (-300)/(-700)? 5 Calculate (2/(-1))/((-26)/39). 3 Evaluate (-40)/(-5) - 1 - (-315)/(-49). 4/7 6/(-4) - (-20)/(-8) -4 What is (6 - 3)/6*(-100)/(-5)? 10 Calculate 5 + 6*222/(-135) + 5. 2/15 What is the value of 90/360 + (-54)/(-8)? 7 8/4 - 1 - (-6 - -7) 0 (-3)/2 + 30/12 + -4 -3 Calculate (44/55)/(4/10). 2 8*8/192 + 60/9 7 2/(-21) - (-4340)/(-735) -6 What is the value of (-3 + 1)/(-6)*39/26? 1/2 Calculate (-4 - 28/(-8))*-1. 1/2 What is 1 + ((-320)/112 - -2*1)? 1/7 -4 + -9 + 10 + (-3)/1 -6 What is (-17 - (-455)/28)*24/(-81)? 2/9 Calculate (9 + -6)/((-30)/(-4)). 2/5 What is (-1)/4*(1 - 1)/(-15)? 0 5 + 171/99*-3 -2/11 Calculate 4/34 + 605/(-85). -7 Calculate (-5)/((-125)/110) - 5. -3/5 What is -5 - (-5 - (4/2 - 2))? 0 ((-5)/((-10)/9))/3 3/2 Calculate (-34 - -40) + (-33)/5. -3/5 Evaluate 6/(8/((-8)/(-3))). 2 (768/112 - 7) + 38/21 5/3 What is the value of 4/(-16) - ((-51)/(-12) + -2)? -5/2 -2*2/(-22) + 126/(-231) -4/11 What is 144/(-45) + 3 + 2/10? 0 Evaluate 0/5 - (-5)/(-2 - -1). -5 Evaluate -5 + 1*(12 + -4). 3 What is (13 + 32)/(-9) - 171/(-33)? 2/11 What is the value of (2/(60/9))/((-117)/(-65))? 1/6 Calculate (6/(-9)*(-15)/(-10))/(-1). 1 Evaluate 16/(-12)*(-4)/(-16)*15. -5 Calculate (6/(-3))/((-3)/(-6) + 2). -4/5 Calculate 6 + 0 - 4/(-5 - -9). 5 Evaluate (-4)/(-14) + (1760/(-525))/22. 2/15 3/(-45 + 12) - 10/11 -1 Evaluate (66/(-77))/(2/(-7)). 3 Calculate 28/(-98)*(-7)/(-9). -2/9 Evaluate 38/(-80) + 9/15. 1/8 ((-12)/50)/((-9)/15 - 0) 2/5 What is the value of (-54)/5 + (-109)/545? -11 What is 426/(-72) + 2 + 4? 1/12 (-3)/6*(0 + 8)*1 -4 What is the value of (-22)/(-8) - 3/4? 2 Evaluate 2/(-6) + (-4)/(-3). 1 What is (-2)/4*21*(-20)/(-350)? -3/5 Calculate -10*(-2)/36*48/40. 2/3 Evaluate ((-6)/45*1)/(64/(-288)). 3/5 Calculate 365/35 + -6 + (-4 - 0). 3/7 Calculate 3/((-30)/8)*40/(-336). 2/21 Evaluate ((-9)/108)/((-18)/24). 1/9 What is ((-24)/(-4) + -5)*(7 + -8)? -1 What is the value of (3/(-2)*2)/7? -3/7 Calculate ((-14)/5)/(893/(-95) - -9). 7 Calculate (-9)/(-12)*32/84. 2/7 What is (-15)/(-63) + 10/75*-5? -3/7 What is the value of 11 - (-35)/(3 + -8)? 4 Evaluate (5/15)/((-10)/120). -4 (-4)/3 + 10/(-6) -3 What is (-4)/(-30) + (363/(-90))/(-11)? 1/2 Calculate -7 - -7*3*7/21. 0 What is the value of (-48)/(-70) - (-8)/(-28)? 2/5 Evaluate 4/(-14)*(-21)/36. 1/6 What is the value of 2/4 + (120/16 - 12)? -4 Calculate (0 + (-1)/(-2))/((-65)/(-130)). 1 ((-7 - -4) + 6)*(-3)/9 -1 What is (-20)/(-4)*15/25? 3 (-3)/4 + 1 + (-880)/6080 2/19 (-2*3)/((-949)/(-52) - 19) 8 Evaluate (-8 + 13)*(-1 - (-18)/15). 1 What is 78/21 - (-2)/7? 4 What is ((-5)/35*-9)/9? 1/7 (-2)/(-10)*-2 - (-91)/(-260) -3/4 -4*-3*(-7)/(-630) 2/15 What is (-8 - -13)*2/10? 1 Evaluate (-14)/(-49) + 111/(-21). -5 What is 0/((-16)/(-9 + 13))? 0 5/20 + 69*(-1)/84 -4/7 What is (0 - 2/(-5)) + (-84)/735? 2/7 ((-63)/(-18) - 2)*8/(-6) -2 (-12)/(-4)*10/150 1/5 Calculate (-2)/(-6)*9 - 4. -1 (7/(273/6))/(-1) -2/13 Calculate (-18)/15*(-420)/56. 9 What is 6/4*(-18)/27? -1 What is the value of -265 + 258 - (-20)/14*5? 1/7 What is (-114)/22 + 4 + 126/(-33)? -5 Evaluate 3*-1 + (4 - 4). -3 What is 9/4 + 134/(-536)? 2 Evaluate (-1 - -1)*10/20 + -3. -3 Calculate -24 - -29 - (-1)/(-1). 4 Calculate 1/3*(-2 + 14)/2. 2 Evaluate (-36)/(-162) - 11/9. -1 What is 12/(-2) + 156/26? 0 Evaluate 6/(-4)*((-28)/12 - -1). 2 Evaluate ((-36)/(-96))/(18/8). 1/6 Calculate 1 + (92/(-8) - (-21)/14). -9 Evaluate (32/(-48))/((-20)/(-4)). -2/15 64/(-63) - (-248)/558 -4/7 Evaluate ((-16)/(-3))/(2/(-3)). -8 What is the value of -4*(-4)/16 - (-8)/(-24)? 2/3 (2 + 7)/((-24 - -11) + 12) -9 Evaluate -3 + -2 + 6/(900/762). 2/25 Calculate (-20)/15*9/6. -2 What is (1 - -4) + (6 - 6)? 5 What is (2/(-6))/(26/468)? -6 What is (8/(-72)*3)/2? -1/6 What is ((-6)/4 - 0)/((-3)/8)? 4 Evaluate (6/27)/((-4)/(-36)). 2 What is the value of (-42)/(-9) - 1/(-3)? 5 Evaluate (8/36)/(8/12). 1/3 Evaluate (-24)/9*(-32)/(-384). -2/9 What is -3 - 21/(-14) - (-98)/60? 2/15 65/(-364)*10 + 3/2 -2/7 What is 28/6*66/(-539)? -4/7 What is the value of 171/99 - (-9)/33? 2 What is ((-2)/(-45))/((-1)/10)? -4/9 What is 14/(-4)*(-40)/(-35)? -4 What is (-1)/(3/6) - -2? 0 What is (-2915)/(-371) - 1/(-7)? 8 Calculate 16/(-6) - (-76)/(-57). -4 Calculate (5 + 112/(-24))/1. 1/3 What is the value of (-72)/320 - (-12)/(-32)? -3/5 Evaluate 6/(-10) + (-756)/(-560). 3/4 Calculate 3/(-2) + -4*4/(-8). 1/2 What is the value of ((-24)/(-126))/(2/(-3))? -2/7 Calculate ((-3)/(-2))/(18/(-48)). -4 Calculate (-33 - -37)*2/8*5. 5 Calculate (-116)/(-28) - (-5 - -10). -6/7 What is the value of (0 + 5 + -7)*(-3)/39? 2/13 What is (-4 - -5)*(24/(-40) - -1)? 2/5 Evaluate 6 + 3 + (316/(-40) - 1). 1/10 Evaluate (5/(-3))/((-25)/10). 2/3 1*((-160)/64 + (-119)/(-46)) 2/23 Calculate (1/4 - (-9)/(-36))/(-1). 0 What is 170/(-100) - -1*(-2)/(-10)? -3/2 Calculate 39/27 + 3*6/(-18). 4/9 (-6)/7 - (-368)/560 -1/5 What is (45/18)/((-20)/(-8))? 1 Evalua
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 368 What is the third root of 42017721 to the nearest integer? 348 What is 2327556444 to the power of 1/2, to the nearest integer? 48245 What is 18291 to the power of 1/2, to the nearest integer? 135 What is the square root of 1092115281 to the nearest integer? 33047 What is 223003297 to the power of 1/3, to the nearest integer? 606 What is the square root of 3335268248 to the nearest integer? 57752 What is 16520185 to the power of 1/9, to the nearest integer? 6 What is 104559091 to the power of 1/3, to the nearest integer? 471 What is the cube root of 55742979 to the nearest integer? 382 What is the tenth root of 166995249 to the nearest integer? 7 What is the ninth root of 6872523450 to the nearest integer? 12 What is 1065631906 to the power of 1/2, to the nearest integer? 32644 What is the fourth root of 40735246 to the nearest integer? 80 What is the square root of 57865700 to the nearest integer? 7607 What is the cube root of 185145272 to the nearest integer? 570 What is 455024666 to the power of 1/2, to the nearest integer? 21331 What is the cube root of 297345163 to the nearest integer? 667 What is the tenth root of 331692608 to the nearest integer? 7 What is 357711419 to the power of 1/9, to the nearest integer? 9 What is the seventh root of 465729239 to the nearest integer? 17 What is 280838497 to the power of 1/2, to the nearest integer? 16758 What is 940735509 to the power of 1/8, to the nearest integer? 13 What is 34540700 to the power of 1/2, to the nearest integer? 5877 What is the cube root of 5512491159 to the nearest integer? 1767 What is the fourth root of 1765342400 to the nearest integer? 205 What is 278973320 to the power of 1/2, to the nearest integer? 16702 What is the seventh root of 1875591471 to the nearest integer? 21 What is the sixth root of 44562273 to the nearest integer? 19 What is the sixth root of 74525615 to the nearest integer? 21 What is the tenth root of 34434954 to the nearest integer? 6 What is 17605893 to the power of 1/3, to the nearest integer? 260 What is the tenth root of 109788806 to the nearest integer? 6 What is the third root of 337395718 to the nearest integer? 696 What is the cube root of 3395753409 to the nearest integer? 1503 What is the third root of 2424062648 to the nearest integer? 1343 What is the third root of 3553905757 to the nearest integer? 1526 What is 279870883 to the power of 1/10, to the nearest integer? 7 What is the sixth root of 1533130175 to the nearest integer? 34 What is 43488760 to the power of 1/9, to the nearest integer? 7 What is 174349188 to the power of 1/5, to the nearest integer? 44 What is the cube root of 112442700 to the nearest integer? 483 What is the cube root of 102155901 to the nearest integer? 467 What is the cube root of 557050446 to the nearest integer? 823 What is 1082735710 to the power of 1/5, to the nearest integer? 64 What is 1099254609 to the power of 1/8, to the nearest integer? 13 What is 2564107976 to the power of 1/2, to the nearest integer? 50637 What is 13365823 to the power of 1/6, to the nearest integer? 15 What is 84039078 to the power of 1/2, to the nearest integer? 9167 What is 41818895 to the power of 1/5, to the nearest integer? 33 What is 218802674 to the power of 1/3, to the nearest integer? 603 What is the square root of 909572831 to the nearest integer? 30159 What is the tenth root of 1199893765 to the nearest integer? 8 What is the square root of 5793602 to the nearest integer? 2407 What is 298423193 to the power of 1/5, to the nearest integer? 50 What is the square root of 40914040 to the nearest integer? 6396 What is 240748558 to the power of 1/5, to the nearest integer? 47 What is the square root of 200541237 to the nearest integer? 14161 What is 509990913 to the power of 1/2, to the nearest integer? 22583 What is the ninth root of 296299714 to the nearest integer? 9 What is 228292351 to the power of 1/9, to the nearest integer? 8 What is the third root of 75068844 to the nearest integer? 422 What is the square root of 190444904 to the nearest integer? 13800 What is the square root of 1966938087 to the nearest integer? 44350 What is the fifth root of 62090158 to the nearest integer? 36 What is 17045770 to the power of 1/5, to the nearest integer? 28 What is the eighth root of 29224283 to the nearest integer? 9 What is the cube root of 787053445 to the nearest integer? 923 What is 2653035168 to the power of 1/2, to the nearest integer? 51508 What is the seventh root of 106026050 to the nearest integer? 14 What is the square root of 133953075 to the nearest integer? 11574 What is the fourth root of 597442263 to the nearest integer? 156 What is 13895216 to the power of 1/2, to the nearest integer? 3728 What is the sixth root of 4744137913 to the nearest integer? 41 What is 754894362 to the power of 1/3, to the nearest integer? 911 What is 667389230 to the power of 1/2, to the nearest integer? 25834 What is the ninth root of 73248103 to the nearest integer? 7 What is the square root of 1345116110 to the nearest integer? 36676 What is the fifth root of 383666344 to the nearest integer? 52 What is the square root of 184606652 to the nearest integer? 13587 What is 332920719 to the power of 1/3, to the nearest integer? 693 What is 990004792 to the power of 1/2, to the nearest integer? 31464 What is the third root of 654188705 to the nearest integer? 868 What is 1188114792 to the power of 1/8, to the nearest integer? 14 What is 12206984 to the power of 1/2, to the nearest integer? 3494 What is the ninth root of 820206899 to the nearest integer? 10 What is the fifth root of 6192415945 to the nearest integer? 91 What is 150370950 to the power of 1/6, to the nearest integer? 23 What is 871456490 to the power of 1/9, to the nearest integer? 10 What is 4274920 to the power of 1/2, to the nearest integer? 2068 What is 58161508 to the power of 1/6, to the nearest integer? 20 What is the cube root of 43027539 to the nearest integer? 350 What is the square root of 148418955 to the nearest integer? 12183 What is 217036976 to the power of 1/2, to the nearest integer? 14732 What is 462021813 to the power of 1/2, to the nearest integer? 21495 What is 654703388 to the power of 1/8, to the nearest integer? 13 What is the third root of 17387722 to the nearest integer? 259 What is the square root of 1175315571 to the nearest integer? 34283 What is the third root of 67883129 to the nearest integer? 408 What is 1756767450 to the power of 1/5, to the nearest integer? 71 What is 1239639721 to the power of 1/6, to the nearest integer? 33 What is 93830140 to the power of 1/3, to the nearest integer? 454 What is the cube root of 328441737 to the nearest integer? 690 What is the seventh root of 744835801 to the nearest integer? 19 What is 40926863 to the power of 1/2, to the nearest integer? 6397 What is the cube root of 2532932614 to the nearest integer? 1363 What is the third root of 1130771060 to the nearest integer? 1042 What is the eighth root of 418361229 to the nearest integer? 12 What is 159292460 to the power of 1/3, to the nearest integer? 542 What is 77243394 to the power of 1/3, to the nearest integer? 426 What is the cube root of 223495250 to the nearest integer? 607 What is 53691273 to the power of 1/8, to the nearest integer? 9 What is the cube root of 5987867848 to the nearest integer? 1816 What is 207584945 to the power of 1/2, to the nearest integer? 14408 What is the square root of 341603973 to the nearest integer? 18483 What is 22191843 to the power of 1/4, to the nearest integer? 69 What is 125971793 to the power of 1/2, to the nearest integer? 11224 What is 484381722 to the power of 1/3, to the nearest integer? 785 What is the cube root of 814777638 to the nearest integer? 934 What is 625350606 to the power of 1/2, to the nearest integer? 25007 What is 27082240 to the power of 1/7, to the nearest integer? 12 What is the tenth root of 1232519160 to the nearest integer? 8 What is the eighth root of 355962260 to the nearest integer? 12 What is the square root of 173427811 to the nearest integer? 13169 What is the ninth root of 1012679360 to the nearest integer? 10 What is the cube root of 60850877 to the nearest
{ "pile_set_name": "DM Mathematics" }
3*p, r*p - 12 = -p. Solve 2*l + l = -y - 8, -4*y = -4*l + i for y. -5 Suppose -4*f = -4*p - p - 2, 3*f + 10 = -2*p. Let t(x) = -2*x - 1. Let d be t(f). Suppose 2*z - d*z = 0. Solve i + 3*c = 0, z*c = 3*c - 3 for i. -3 Suppose 5*g = 13 - 3. Suppose -5*s + g = -18. Suppose -v - 3*b + 0*b = -17, 1 = 3*v - b. Solve -k = 5*m - 4*m + v, -2 = s*k - 2*m for k. -1 Suppose l - 4 = -0. Suppose -v + 1 + l = 0. Solve b - v*k = 4*b - 3, 0 = -3*k for b. 1 Let y = 430 - 406. Solve 1 = 2*f - u + 10, 3*u - y = 5*f for f. -3 Suppose 26*t - 40*t + 56 = 0. Solve 3*l + t*w - 2 = 0, 2*l + w = 4*w + 7 for l. 2 Let z be 2/(-4)*(25 + 1). Let r = z + 16. Solve 0 = -s + h + 4*h + 6, -r*h = 6 for s. -4 Let i = 4 + 12. Let j(p) = -p**3 + 17*p**2 - 17*p + 19. Let t be j(i). Solve 5*s = 3*y - 7, s + 0*y = -y - t for s. -2 Let w be (-65 - -88)/(0 - 1 - 0). Let r = 33 + w. Solve 4*k - s = -20, 0*k = 2*k + 4*s + r for k. -5 Suppose d + 14 = -16. Let g = 43 + d. Solve 10 = -2*y + 5*l, 0*y + g = 5*y - 3*l for y. 5 Let v be -3 - (2/3)/(2/(-33)). Suppose v*b = b + 4*b. Solve b = -3*k - 2*g + g + 7, 0 = 3*k - 5*g - 1 for k. 2 Let n(m) = m**2 + 16*m + 16. Let o be n(-12). Let j = 32 + o. Solve x + x = -5*r, 2*x - 3*r - 16 = j for x. 5 Suppose -10 = o - 3*o. Suppose -4*m + 6 = r, -m + 4*r + 2 = -8. Solve -4*y + 6*g = m*g + 20, -y = o*g - 25 for y. 0 Let b be (-2 - (-10)/4)*0. Suppose 3*y + b*y = -84. Let s be ((-16)/y)/((-4)/(-14)). Solve -s*z = -3*p - 8, z - 7 = p - 4*z for p. -2 Let a be 28/6 - (-2)/6. Suppose 0*l - 60 = -4*l. Let p(q) = q**2 - 15*q. Let d be p(l). Solve 2*g = 2*m + 4, a*g = -d*m - 2*m - 25 for g. -3 Let a = -185 + 188. Solve -16 = -2*k - a*o, 2*o + 10 = k + 4*o for k. 2 Let x be 12/(-3) - -4 - 2. Let z be (1 - (-3)/x)*-8. Let y(r) = -r**2 + 5*r - 1. Let m be y(4). Solve 6*n - n + 27 = -z*a, m*n + 9 = 0 for a. -3 Let u be (2/(-6))/(2/(-36)). Let x be (-3)/u*2*-28. Solve -4*k - 4*b = x, -5*k - b - 29 = b for k. -5 Let k be (-17)/5 - 4/(-10). Let z = -18 + 26. Let m = z + k. Solve -m*u = y - 20, 0*y + 5*y = -4*u - 5 for u. 5 Let u(l) = l - 6. Let n be u(6). Let s(a) = -a**2 - 13*a - 17. Let m be s(-11). Let g = 8 - m. Solve n = h + g*t + 9, 5*t = 2*h + 3*h - 35 for h. 3 Let k be (1 + -9 + 9)*2. Solve k*i - 14 = 2*a, -4*i = -7*i - 2*a + 6 for i. 4 Let k be (6/10)/(2/10). Let x = k - -17. Let b(y) = -19*y + 5. Let q be b(0). Solve q*i = -x, 7*o + 4*i = 2*o - 41 for o. -5 Let p be (-10)/35 - 44/(-7). Suppose -3*h - 4*z + 4 = 2, -2*z - p = -2*h. Let j be 56/(1 + h + -1). Solve -6*w + 2*w - 4*n + j = 0, w + 5*n = 23 for w. 3 Let a(u) = 59*u - 3178. Let q be a(54). Suppose 0*l = -3*l + 9. Solve 4*r - b = -r + q, 5*r + l*b = 16 for r. 2 Suppose q - 3 + 1 = 0, 0 = 5*u + 3*q - 26. Suppose -u*i + 7*i = 0. Solve -v = i, 5 + 10 = -5*x + v for x. -3 Let c be (-5)/2*328/(-205). Solve -d + s = -c + 1, d - 5*s - 7 = 0 for d. 2 Let b be (-1)/(-8) - 188/(-32). Suppose -q + 1 = 5*r - 12, 0 = -3*r + b. Suppose 2*t = -q*t + 10. Solve 2*h - 2*p = -8, 3*p - 2 = t*h + 10 for h. 0 Let g(c) = -c + 4. Let y = 1 + 4. Let s be g(y). Let u be 15*(0 + s/(-3)). Solve 0 = 4*t - 0*n - 3*n + 9, -u*n = -5*t - 10 for t. -3 Let j be 87/3 - 3/(-1). Let n = j - 29. Solve 0 = -n*d - 9, -1 = 3*r + r + 3*d for r. 2 Let b(o) = o**3 - 14*o**2 + 14. Let z be b(14). Let v = -39 + 26. Let h = z + v. Solve -k + h + 2 = l, -12 = 4*l - 2*k for l. -1 Let x be ((-15)/18)/((42/(-36))/7). Solve -5*f = -7*d + 4*d + 13, -3*d - x*f - 37 = 0 for d. -4 Let j = -420 - -422. Solve -j*q + 5*q = -5*n + 29, -q + 3*n - 9 = 0 for q. 3 Suppose 4*s = -k + 13, 3*k + s + s = 39. Suppose -u = -4*t - 1 + 32, t = 2*u + k. Let o = -257 - -260. Solve -l - t*z + o*z = 21, -4*z = -3*l + 1 for l. -5 Let k(b) = -12*b**3 - 3*b**2 - 3*b - 2. Let o be k(-1). Solve 0 = -x - 2*a + 9, 0 = 4*x - 5*a + 19 + o for x. -1 Suppose -4*w - 2*r + 2 = -44, 5*w = -4*r + 62. Suppose -15 - w = -5*n. Let h = -3 + n. Solve h*m = 3*v - 2, -5*v + 12 = m - 0*m for m. 2 Suppose 6*c - 14 = 8*c. Suppose 2*w - 9 = 2*y + 13, 27 = 5*w + 2*y. Let p be (c + w)/(2/2). Solve 0 = 2*u - 4*q, -u - u - q - 10 = p for u. -4 Let r be 1/4 + (-237)/(-12). Solve -5*o + t = -r, 3*t = 5*t for o. 4 Suppose -6 = -2*d - 28. Let u = d + 23. Suppose -10*q + u*q - 14 = 0. Solve -3*g = -w + 2*w - q, -3*g + 4 = -2*w for w. 1 Suppose 0 = -4*i, -i + 30 = -s + 6*s. Suppose -4*j - s = -7*j. Solve 3*w - 3*g = -6, w - 2*g = j*g - 17 for w. 3 Suppose -4*h = -h + 3*k - 9, -2*h = -2*k - 2. Suppose h*t - 6 = -2. Suppose -16 = 50*i - 58*i. Solve -2*f + 23 = -5*g, g - t*g + i*f - 3 = 0 for g. -5 Let z = -120 - -84. Let l = z - -45. Let u = -7 + l. Solve 0 = -5*h - 4*c + 11 + 1, -u*h = -2*c - 12 for h. 4 Let q(l) = -5*l - 10. Let x(j) = -14*j - 31. Let g(n) = 11*q(n) - 4*x(n). Let f be g(-13). Solve t + w = -0*w + f, 5*w = -5 for t. 2 Let j(s) = s**3 + 18*s**2 + 46*s + 17. Let x be j(-15). Solve -12 = 3*u - x*u + 4*z, -3*z - 9 = -u for u. 0 Suppose -3*g + 0*g - 3*t = -45, 4*t = 2*g - 42. Suppose -g*r - 7 = -58. Solve -a + r = s, 4*a - 5*s = -2 - 4 for a. 1 Let y be ((-2)/36*-6)/((-1)/(-21)). Suppose -12*w = -y*w - 40. Solve 4*b + 4*t = -t - 12, -w = 4*b + 4*t for b. 2 Let h be 12/(-15)*(-5)/2. Suppose 7 = w + 3*g + 2*g, 6 = 2*w + h*g. Solve -w*s = -t - 6*s - 17, 3*t - s + 12 = 0 for t. -5 Let w be ((-3)/(-3))/(2/8). Suppose 0 = 4*c - w*h, 2*c = -2*c - 5*h + 27. Let f = 8 - c. Solve o = 3*o + 4*z + 20, 10 = f*o - 2*z for o. 0 Let u be 4/(-6) + (-92)/(-12). Let y(c) = c - 4. Let d be y(u). Suppose -d*n = 2 - 5. Solve 5*s + 5*f + 6 = n, 0 = -s - 4*f + 5 for s. -3 Let v = -5 + 6. Suppose -v = -3*p - 4. Let n be 14 + -1 - (4 + p). Solve 2*w - 2*c + 4 = 0, 2*c = w + 7*c - n for w. 0 Suppose 3*x = -12, -n = 3*x + 2*x + 11. Suppose -2*y = 5*z - 43, -y - 131*z + 130*z = -11. Solve -y*s + 3*c = -s + n, -2*s + 4*c - 6 = 0 for s. -3 Let k(t) be the third derivative of t**6/120 + t**5/15 - 5*t**4/24 + 16*t**2. Let g be k(-5). Solve 0 = -n - 5*l + 13, -4*n + 4*l + l - 23 = g for n. -2 Let g be (-4)/(-6)*(-27)/(-3)*1. Solve 0 = 2*w + 9*p - g*p + 14, p - 2 = w for w. -4 Let v = -294 + 298. Solve -2*q - 2*g + v*g = 8, 2 = 2*g for q. -3 Suppose 10*z - 120 = 7*z. Solve -z = 5*i - 4*o, 3*i - o + 4 = -13 for i. -4 Let c = -344 + 345. Solve -7*n + 3*n + 3*d = -c, 0 = 4*n + 3*d + 17 for n. -2 Suppose 117*s - 140*s + 621 = 0. Solve 9*c = 4*c + 15, s = -3*h + 4*c for h. -5 Let t = -19 - -24. Suppose 2*r - n = 3, -4*r - r + 15 = t*n. Solve 2*x = 6*x - 12, -x = r*q - 9 for q. 3 Let l = 594 - 589. Solve 4*r - 4*p - 4 = 2*r, 0 = -l*r + 2*p + 18 for r. 4 Let a(x) = -x**3 + 21*x**2 - 15*x - 85. Let n be a(20). Solve 5*u + n = 5*g, 2*u - 6 = -u for g. 5 Let u = 201 - 199. Solve -4*k = 4*x - 8, -3*k + x - 18 = -u*x for k. -2 Let b(i) = -i**3 - 11*i**2 + 40*i - 27. Let x be b(-14). Solve 0 = -5*r + h - 8, -3*h - 3 = -2*r - x for r. -2 Let o be (-6)/(-42) - ((-16)/(-14) + -1). Solve -2*b + 3 = 5*k - 4, o = -k + b for k. 1 Let p be 6/2*(0 + 1). Suppose -2*z - w + 5 = -0*z, 4*z - 15 = p*w. Solve 7*k - 3*k - 17 = 3*c, 0 = z*k - 6 for c. -3 Suppose 3*o - 2*u = -2*o - 9, 3*o = 3*u - 9. Let y be (15/12)/(3/(-108)*o). Solve -5*c - 2*i - 35 = 0, 6*c = 2*c - 5*i - y for c. -5 Suppose -2*q - 3*h + 7 = 0, 16 - 24 = -2*q - 2*h. Solve 5*c + 15 = q*p, 0 = p - 5*c + c - 12 for p. 0 Let g(i) = -i + 1. Let q(k) = 5*k + 29. Let m(l) = 6*g(l) - q(l). Let r be m(-5). Solve 4*w = 4*t + r, 2*w = -w - 4*t - 4 for w. 4 Let t be (-168)/224 - (1 + (-30)/8). Solve -4*k + 3*a = -8, t = 2*k - 4*a + 2*a for k. 5 Let a = -5 + 5. Suppose -v + 0*v - 22 = a. Let n be (-77)/v*24/14. Solve n = o - 5*z, -4*z - 18 = 5*o + 10 for o. -4 Suppose x = -3*z - 0*x + 11, -2*z = -4*x + 16. Solve 0 = 5*b + 5*k - 15, -b + 0 = z*k - 2 for b. 4 Suppose 211*c - 206*c = 25. Solve 3*d = c*k + 7, 4 + 17 = 5*k + 4*d for k. 1 Suppose 0 = -4*g - 159 + 167. Solve 3*b + g*f - 6*f = -26, f = -b + 3 for b. -2 Let g be (1 + 1)*(-28)/(-8) - 2. Suppose 4*n + 25 = -w, 2*n - 3*w - 20 = 3*n. Let c = n + g. Solve j + c = o - 2, 5*j = -o + 8 for j. 1 Let s be 4*6/(-8)*6/(-9). Suppose 2*n - 79 = -3*v, -v - s*n + 31 = n. Solve 4*y + 0*g - 14 = 2*g, -5*y = -5*g - v for y. 2 Suppose -2*i = 16 - 22. Suppose -i = 2*t - 3*t, 12 = -d + 5*t. Solve 0 = 2*l + d*o - 13, -l - l = 2*o - 8 for l. -1 Suppose -13 + 46 = z +
{ "pile_set_name": "DM Mathematics" }
= 516/29273 + h. Let a = 2682/11 - k. Calculate the common denominator of 39/25 and a. 100 Suppose -10 = -4*k - 2*o, -2*k + 4*o = 3*o - 7. Let r = -7133/552 - -93/184. Calculate the common denominator of r and k + -6 + 147/(-9) + -3. 12 Let z be ((-5)/(-535))/(1/(-2)). Let v = z + -4916/321. Let q = 16/1251 + 133697/12510. Calculate the common denominator of q and v. 30 Let b = -459981797/900 - -511091. Find the common denominator of b and 101/160. 7200 Suppose 0*t = 3*t + 87. Suppose 9*q + 2442 = -65*q. Let f = t - q. Calculate the smallest common multiple of f and 4. 4 Let b = 3947/4 + -980. Let m = -4000 + -3099. Let j = 42485/6 + m. Calculate the common denominator of b and j. 12 Let r = 6463179/70 + -92333. Let d = 5671/8 + -712. Find the common denominator of r and d. 280 Let h = 445/99 - 13/99. Find the common denominator of h and 37/5631. 61941 Let m = 5810 + -11641/2. Let h be (-12)/((-1)/(39/6)). Find the common denominator of -1*3/(h/76) and m. 26 Let h = -234107627/912 + 256697. What is the common denominator of h and 65/76? 912 Suppose -44*m = 4*m - 10512. Let k(u) = -u**2 - u. Let t be k(-1). Calculate the common denominator of m/18 - ((-1)/3 + t) and 1/43. 86 Let d = 253237/12 - 21115. What is the common denominator of -121/20 and d? 60 Let l(s) = s**3 - 9*s**2 - 18*s - 24. Let p be l(-7). Let y = 715 + p. What is the lowest common multiple of 15 and y? 165 Let j be 7/(-49) + (-71867)/21. Suppose 4*t - 4*b = -15425 + 1725, 3417 = -t - 3*b. Let o = t - j. What is the common denominator of 38/3 and o? 21 Let g(h) = -h**2 - h + 14. Let y be g(-4). Let z be -3 + (y - 36/(-244) - 2). Let c = -6003/244 - z. Find the common denominator of -91/16 and c. 16 Suppose 30*r + 18920 = 70*r. What is the smallest common multiple of 44 and r? 1892 Suppose 0*g = 3*g - 30. Calculate the common denominator of 2 + 21/(-28) + (-15)/4 + 5 and g/(-4)*(-9)/15. 2 Suppose 49*h = 329541 - 102573. Calculate the least common multiple of h and 18. 13896 Let i = 127384 - 24967195/196. Calculate the common denominator of i and 107/196. 196 Let z = 16 + -1/3. Find the common denominator of z and -117 + 107 - 649/(-56). 168 Suppose -25*a = -3*a - 220. Suppose a = 2*l + 4. What is the smallest common multiple of 83 and l? 249 Suppose -5*m + 8*m - 438 = 0. Let c = m + 110. Suppose 76 = -6*p + c. What is the lowest common multiple of 10 and p? 30 Let s = 94016/27 + -3480. What is the common denominator of -14/621 and s? 621 Let q(s) = s**2 - 33. Let o(y) = -3*y + 58. Let l be o(17). What is the lowest common multiple of 18 and q(l)? 144 Let h be (8 - 17) + (-65)/5. Calculate the least common multiple of 144 and (44968/(-147))/h - 4/(-42). 1008 Let f be 11705/(-6)*(55/650)/11. Let m = 17/52 - f. Let b = 16432 - 443596/27. Find the common denominator of m and b. 27 Let x = -33721 + 34634. What is the least common multiple of x and 4814? 52954 Let p = 1400131/4 + -352778. Let y = 179303855/792 + -7380392/33. Let n = p + y. Find the common denominator of 101/16 and n. 144 Calculate the common denominator of (26/338 - (-94)/(-1560))*(-188)/(-182) and 23/735. 19110 Let g be (((-8)/6)/2)/((-16)/(-699144)). Let l = -7515761/258 - g. Find the common denominator of l and 111/14. 1806 Find the common denominator of (-444)/777 - 21197/(-36813) and 80/21. 36813 Suppose -12057 = 2*m + 5*v, 0 = m - 5*v + 2596 + 3425. Let s = m + 72239/12. Calculate the common denominator of -107/24 and s. 24 Let b(c) = -c**3 + 95*c**2 + c + 25. What is the least common multiple of 960 and b(95)? 960 Let m = -23 - -28. Suppose 3*s + 27 = -m*t, -2*s + 5*s + 9 = t. Calculate the common denominator of 33/10 and (6/8)/(10/s). 10 Let q = 249246 + -174970543/702. Find the common denominator of q and 53/702. 702 Let q be (34 - 33)*-1*(-2 + -1). Suppose -q*d + w + 205 = -d, d - 5*w = 80. What is the least common multiple of d/14*12/10 and 3? 9 Suppose -2*m - k + 30 = 0, -m + 31 = -4*k + 7. Suppose -6*f = -2*f + o - m, -3*f - 3*o = -3. Let n(u) = 2*u. Calculate the least common multiple of n(4) and f. 40 Let w = 2571223/74447373 + -327/13349. Calculate the common denominator of -79/4563 and w. 50193 Let z(n) = n**3 + 17*n**2 + 16*n - 20. Let j be z(-16). Find the common denominator of 214/16*28/(-63) and ((-48)/j)/4 + (-916)/160. 72 Let k = 61980476/9 - 6895245. Let j = 34085/4 + k. Calculate the common denominator of j and 23/60. 180 What is the least common multiple of 1128 and 130/(-195)*4/((-8)/18)? 1128 Let g = -2554145 - -81739573/32. Let h = -217 + g. Find the common denominator of h and 2 + -2 - 105/96. 32 Suppose 9*h + 563 = -454. Let g = h + 1007/9. What is the common denominator of 37/3 and g? 9 Suppose 5*h - 2*a + a = 34000, -h = -5*a - 6776. Let b = 136073/20 - h. What is the common denominator of (-72)/468 + (-744)/(-273) and b? 140 Let h = 34/187151 - 12907991961/1871510. Let k = h - -6907. Let s = -1/325 - -13336/3575. Calculate the common denominator of s and k. 110 Let h(g) = -3*g**2 - 3*g + 6. Let c be h(3). Let m be (-5 + 0)*6/c*11. Suppose m = 3*y + 5. What is the lowest common multiple of y and 6? 6 Let f(q) = 8*q**2 + 3*q + 12. Let i be f(-4). Let x = -108 + i. Calculate the lowest common multiple of 10 and x. 20 Let d be (-17754)/2190 - (-2)/(-5). Let n = d - -78171/8906. Find the common denominator of n and 137/18. 1098 Suppose -253*j + 530 = -482. Suppose 2*a = -2*a + 12. Suppose 0 = 5*u - a*d - 57, -u - 12 + 1 = 5*d. What is the least common multiple of j and u? 36 Calculate the common denominator of -16/559 and (-15)/(-1170)*3/5. 5590 Let k(j) = 56*j - 52. Let g be k(5). Suppose -411*r + g = -417*r. Find the common denominator of -61/4 and r. 4 Let x = -96 - -105. Suppose 4*b = -20, 0 = x*a - 4*a + 4*b + 5. What is the least common multiple of a and 361? 1083 Let o(d) = -d**2 + 13*d - 7. Let k be o(12). Suppose -302 = k*s - s + 2*j, 5*j = s + 70. Let x = s + 81. What is the least common multiple of x and 11? 66 Calculate the least common multiple of 252 and (22683/4)/(162/36) + (-7)/42. 1260 Let z = -2731 + 21821/8. What is the common denominator of (-428)/(-40)*(1 - 0) and z? 40 Let c = 31533/65156 - 4/1253. Suppose 5*i - 1526 = -531. Find the common denominator of c and i*2/36 + -5. 468 Let s(f) be the second derivative of f**4/3 + 3*f. Let g be 22/20 + (-9)/90. What is the lowest common multiple of 18 and s(g)? 36 Let w = -1/2907 - -11737/3876. What is the common denominator of w and 181/1260? 1260 What is the common denominator of (52/150)/((-3)/(-10)) and ((-304)/95 + 21)*-3*6/(-54)? 45 Suppose -56 = -4*k - 16. Suppose -5*w + 0 - k = 0, 0 = -3*m + 4*w + 29. Calculate the smallest common multiple of (m + 6 - 2)*(1 - 0) and 9. 99 Let i = 3169/133 - -169/114. Let k = 59/3 - i. What is the common denominator of k and -79/56? 56 Suppose 4*r + 326 - 66 = 0. Let h = r + 68. Suppose 5*o - 10 = 3*o, 0 = -h*c - o + 8. Calculate the least common multiple of 11 and c. 11 Let n = -436 - -100. Find the common denominator of (-6)/24 - 1085/n and 35/8. 48 Let c be -2*1 + (-1 - -11654). Let f = 186335/16 - c. Find the common denominator of (83/18 - (10 + -15)) + -22 + 19 and f. 144 Let l = 52 + 9. Suppose -4*r = s + 3*s - 108, s + l = 3*r. What is the smallest common multiple of r and 14? 154 Let l = -16803/13 + 10347/8. Calculate the common denominator of (6/(-5))/((-260)/(-500)) and l. 104 Let c(f) = -769*f - 2. Let q be c(-3). Let m = q + -18475/8. Calculate the common denominator of (-507)/27*42/(-196) and m. 168 Let l = -938325/336596 + -5/6473. Let x = l + 7/13. Find the common denominator of x and (2340/(-72) + 31)*(-65)/9 - 11. 12 Let o(a) = a + 234. Calculate the least common multiple of 6 and o(-8). 678 Suppose -6647 = 12*u - 2267. Let n = u - -393. What is the smallest common multiple of 8 and n? 56 Suppose 23*q + 139 - 47 = 0. What is the common denominator of -74/15 and 134/q*31/5766? 1860 Let n be 44 - (3/9)/((-5)/45). Suppose 3*y - n + 14 = 0. Let c(g) = g**2 - g - 2. Calculate the smallest common multiple of c(3) and y. 44 Let r = -6 + 8. Suppose 0 = 2*z - 5*z - 12, -5*v - 2*z = -92. Suppose -7*x + 3*j = -2*x - 96, -j - v = -x. What is the least common multiple of x and r? 18 Suppose -t + 56*i = 52*i - 579, -4*t + 2358 = -2*i. What is the least common multiple of 30 and
{ "pile_set_name": "DM Mathematics" }
arest integer? 3 What is 1022787 to the power of 1/10, to the nearest integer? 4 What is the square root of 760809 to the nearest integer? 872 What is 2173665 to the power of 1/2, to the nearest integer? 1474 What is the square root of 2160806 to the nearest integer? 1470 What is 8026928 to the power of 1/3, to the nearest integer? 200 What is 220491 to the power of 1/10, to the nearest integer? 3 What is the fifth root of 724832 to the nearest integer? 15 What is the third root of 25865 to the nearest integer? 30 What is the third root of 13268133 to the nearest integer? 237 What is the third root of 1173528 to the nearest integer? 105 What is the third root of 1091639 to the nearest integer? 103 What is the eighth root of 10899 to the nearest integer? 3 What is 1845162 to the power of 1/2, to the nearest integer? 1358 What is the cube root of 6739953 to the nearest integer? 189 What is 13599585 to the power of 1/9, to the nearest integer? 6 What is 643780 to the power of 1/2, to the nearest integer? 802 What is the ninth root of 5629171 to the nearest integer? 6 What is 1165821 to the power of 1/2, to the nearest integer? 1080 What is the fourth root of 9627 to the nearest integer? 10 What is the square root of 3461627 to the nearest integer? 1861 What is 251626 to the power of 1/8, to the nearest integer? 5 What is 1821739 to the power of 1/5, to the nearest integer? 18 What is the fifth root of 22918310 to the nearest integer? 30 What is the eighth root of 8622824 to the nearest integer? 7 What is the square root of 102672 to the nearest integer? 320 What is the cube root of 248238 to the nearest integer? 63 What is 3152867 to the power of 1/2, to the nearest integer? 1776 What is 228308 to the power of 1/2, to the nearest integer? 478 What is the cube root of 265172 to the nearest integer? 64 What is the third root of 22071941 to the nearest integer? 281 What is the sixth root of 1115921 to the nearest integer? 10 What is 501565 to the power of 1/2, to the nearest integer? 708 What is the cube root of 3552750 to the nearest integer? 153 What is 5136036 to the power of 1/2, to the nearest integer? 2266 What is 2858666 to the power of 1/2, to the nearest integer? 1691 What is the fifth root of 95796 to the nearest integer? 10 What is 1050768 to the power of 1/4, to the nearest integer? 32 What is the tenth root of 14302838 to the nearest integer? 5 What is 703794 to the power of 1/10, to the nearest integer? 4 What is 269043 to the power of 1/8, to the nearest integer? 5 What is 721955 to the power of 1/2, to the nearest integer? 850 What is the third root of 494641 to the nearest integer? 79 What is the square root of 18855909 to the nearest integer? 4342 What is the third root of 23853 to the nearest integer? 29 What is the square root of 29718511 to the nearest integer? 5451 What is 207500 to the power of 1/4, to the nearest integer? 21 What is the seventh root of 2396453 to the nearest integer? 8 What is the ninth root of 7170148 to the nearest integer? 6 What is 665866 to the power of 1/8, to the nearest integer? 5 What is the square root of 548781 to the nearest integer? 741 What is 587691 to the power of 1/3, to the nearest integer? 84 What is the square root of 2560478 to the nearest integer? 1600 What is 10144340 to the power of 1/3, to the nearest integer? 216 What is 7473146 to the power of 1/9, to the nearest integer? 6 What is 374549 to the power of 1/3, to the nearest integer? 72 What is the fourth root of 643843 to the nearest integer? 28 What is 933256 to the power of 1/8, to the nearest integer? 6 What is 17604 to the power of 1/3, to the nearest integer? 26 What is 1155252 to the power of 1/2, to the nearest integer? 1075 What is 71496 to the power of 1/9, to the nearest integer? 3 What is the cube root of 9196714 to the nearest integer? 210 What is 402249 to the power of 1/4, to the nearest integer? 25 What is the tenth root of 30852614 to the nearest integer? 6 What is the fifth root of 286334 to the nearest integer? 12 What is the seventh root of 4975182 to the nearest integer? 9 What is the eighth root of 216804 to the nearest integer? 5 What is the square root of 3748921 to the nearest integer? 1936 What is 22362 to the power of 1/9, to the nearest integer? 3 What is the third root of 3434499 to the nearest integer? 151 What is the square root of 5169108 to the nearest integer? 2274 What is 8742758 to the power of 1/7, to the nearest integer? 10 What is the third root of 380996 to the nearest integer? 72 What is 14826868 to the power of 1/2, to the nearest integer? 3851 What is 361002 to the power of 1/7, to the nearest integer? 6 What is the cube root of 199311 to the nearest integer? 58 What is 938541 to the power of 1/4, to the nearest integer? 31 What is 13110186 to the power of 1/10, to the nearest integer? 5 What is 1574110 to the power of 1/2, to the nearest integer? 1255 What is the square root of 535227 to the nearest integer? 732 What is the tenth root of 249625 to the nearest integer? 3 What is 182665 to the power of 1/8, to the nearest integer? 5 What is the sixth root of 392911 to the nearest integer? 9 What is the ninth root of 8696 to the nearest integer? 3 What is 256946 to the power of 1/4, to the nearest integer? 23 What is the third root of 7758565 to the nearest integer? 198 What is the cube root of 69402 to the nearest integer? 41 What is 23136688 to the power of 1/9, to the nearest integer? 7 What is the square root of 749608 to the nearest integer? 866 What is the third root of 10442196 to the nearest integer? 219 What is the tenth root of 635542 to the nearest integer? 4 What is the square root of 2903458 to the nearest integer? 1704 What is the tenth root of 334383 to the nearest integer? 4 What is the eighth root of 10582391 to the nearest integer? 8 What is the square root of 365621 to the nearest integer? 605 What is 456430 to the power of 1/4, to the nearest integer? 26 What is the eighth root of 710070 to the nearest integer? 5 What is the fifth root of 1506988 to the nearest integer? 17 What is the fourth root of 300018 to the nearest integer? 23 What is the third root of 24563 to the nearest integer? 29 What is the third root of 78255 to the nearest integer? 43 What is 8077294 to the power of 1/4, to the nearest integer? 53 What is the square root of 143708 to the nearest integer? 379 What is 2613474 to the power of 1/2, to the nearest integer? 1617 What is the fourth root of 132392 to the nearest integer? 19 What is the square root of 263453 to the nearest integer? 513 What is 1325086 to the power of 1/3, to the nearest integer? 110 What is the square root of 5067424 to the nearest integer? 2251 What is 5599232 to the power of 1/3, to the nearest integer? 178 What is 5279061 to the power of 1/3, to the nearest integer? 174 What is the tenth root of 1319793 to the nearest integer? 4 What is 18924560 to the power of 1/6, to the nearest integer? 16 What is 234504 to the power of 1/2, to the nearest integer? 484 What is the third root of 24040495 to the nearest integer? 289 What is the third root of 1020395 to the nearest integer? 101 What is the cube root of 3787672 to the nearest integer? 156 What is 2734105 to the power of 1/9, to the nearest integer? 5 What is 2297440 to the power of 1/3, to the nearest integer? 132 What is the third root of 12521469 to the nearest integer? 232 What is the sixth root of 921184 to the nearest integer? 10 What is the cube root of 618528 to the nearest integer? 85 What is 226793 to the power of 1/3, to the nearest integer? 61 What is 39032 to the power of 1/8, to the nearest integer? 4 What is the third root of 1393105 to the nearest integer? 112 What is the square root of 318548 to the nearest integer? 564 What is 149296 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 181835 to the nearest integer? 3 What is the sixth root of 848352 to the nearest integer? 10 What is the square root of 10022422 to the nearest integer? 3166 What is the cube root of 98239 to the nearest integer? 46 What is the cube root of 2534176 to the nearest integer? 136 What is 745466 to the power of 1/2, to the nearest integer? 863 What is the cube root
{ "pile_set_name": "DM Mathematics" }
2) - (-5 + sqrt(38)/sqrt(2)*4))**2. -1015/4 + 3*sqrt(19) Simplify ((1*sqrt(612)*-1 - (3 + 1*sqrt(612))) + 3)**2 + (-5 + (3 + sqrt(17)*1)*-2)**2 + -5. 44*sqrt(17) + 2632 Simplify 4 + -5*(1*(sqrt(63) + -1) + -1*sqrt(315)/sqrt(5))*-2 + -1. -7 Simplify (4 + sqrt(1700))**2*-6 + 4 + (-1 + sqrt(1700) + -5)**2 + ((2 + sqrt(1700) + 0 + sqrt(1700))**2 - sqrt(1700)). -530*sqrt(17) - 1752 Simplify (1*sqrt(245)/sqrt(7))/(-3*sqrt(252)) + ((sqrt(45)*5 + 1 + sqrt(10)/sqrt(2))**2 + 3)*3. 1727*sqrt(5)/18 + 3852 Simplify (-3*sqrt(1800)*-3*5)/((sqrt(6) + sqrt(18)/sqrt(3)*1)*-4*-3). 75*sqrt(3)/4 Simplify (3*3*(-1 + sqrt(363) + 0 + (sqrt(363) + 1)*3 - (sqrt(363) + sqrt(363) + sqrt(363) + sqrt(363)*2 + sqrt(363))*6*3)*1)**2. -370656*sqrt(3) + 318023172 Simplify ((-2*(sqrt(272) - sqrt(272)*-2*-5) + (-1 + sqrt(272) - sqrt(272)) + 5 + sqrt(272)*-1 + 3)*5)**2. 23800*sqrt(17) + 1966425 Simplify (((sqrt(15) - (sqrt(15) - sqrt(15)*-1))/sqrt(3))**2 + 2)*-4*2 + -3*((sqrt(5) - 4*1*sqrt(5)) + -5)**2*1. -266 - 90*sqrt(5) Simplify 3 + 2*(4*sqrt(10))/sqrt(5) - (-4 + (sqrt(6)/sqrt(3) + sqrt(2))*-4 + 0)**2. -141 - 56*sqrt(2) Simplify (1*(-3*sqrt(100)/sqrt(5) + (-2*sqrt(20)*-2 - sqrt(20))))/((sqrt(384)/(sqrt(36)/sqrt(3)))/((sqrt(56)*-1)/sqrt(7))). 0 Simplify ((sqrt(168)*-1*-1)/sqrt(3))/(sqrt(40)/(sqrt(5) - 3*sqrt(245))). -20*sqrt(7) Simplify (-1*(4 + sqrt(1100)*5 - sqrt(1100))*-3 + (sqrt(1100) + 1 + 5 + sqrt(1100) - 5*(sqrt(1100) + -4)))**2. 6840*sqrt(11) + 90544 Simplify -4*(((sqrt(1331)*2 - sqrt(1331))**2*-3 + (sqrt(1331)*-2)**2*3)*5 + 1) + 0. -239584 Simplify -4 + -3*(3*(sqrt(152) + (sqrt(152) - (sqrt(152) + sqrt(152)*-1*3)) + sqrt(152) - sqrt(152)))/(sqrt(72)*2*5). -6*sqrt(19)/5 - 4 Simplify (sqrt(190)/(sqrt(5)*-4*-2))/(sqrt(512)*4 - sqrt(8)) + -3. -3 + sqrt(19)/496 Simplify (-1 + sqrt(128) + 1)**2 + -5 + -1 + (3 + (sqrt(1152) + sqrt(1152) + 0)*-4)**2. -1152*sqrt(2) + 73859 Simplify (((sqrt(153) + 2*sqrt(153))*4 - sqrt(153)) + sqrt(153)*2*-6)/(sqrt(9) + -1*sqrt(225) - sqrt(36)/(sqrt(4) + 3*sqrt(4))). 4*sqrt(17)/17 Simplify (((sqrt(63) - sqrt(378)/sqrt(150)) + 1*sqrt(3087))/((sqrt(324) - (sqrt(324) - (sqrt(324) - -1*sqrt(324)))*-4)*-1))**2. 1183/900 Simplify ((sqrt(12) + sqrt(108))*6 - (sqrt(12) + (sqrt(432) - -3*sqrt(432)) + sqrt(12)))/(((sqrt(24) - sqrt(216))*-2)/(1*sqrt(54)))*-3. 9*sqrt(3)/2 Simplify (((-3*sqrt(44))/sqrt(4) + 4 + 1 + (sqrt(99) - sqrt(99)*-2)/sqrt(9) + -1)*-4)**2. 256 Simplify (5*6*(sqrt(160) - sqrt(160)*1))/((sqrt(18)/sqrt(3)*-4)/(1*sqrt(108) + sqrt(108))). 0 Simplify -4 + (sqrt(176) - sqrt(176)*3*5 - (2*sqrt(176) + 3) - (4*(sqrt(176) + -1 + 4 + -3 + sqrt(176)*-2))**2). -2823 - 64*sqrt(11) Simplify -5 + (-1 + (sqrt(612) + 0)*-5 + sqrt(612) + 3*sqrt(612)*-1 - (-5 + 0 + sqrt(612)*1*-5))**2. -96*sqrt(17) + 2459 Simplify ((sqrt(75) + 3 + -4 + -1)**2*3 + -4)*2. -120*sqrt(3) + 466 Simplify (-5 + (-4 + sqrt(13) + sqrt(832) + -1 + 4 - (1*2*sqrt(13) + -2 + sqrt(13)*1)) + 2)**2. -24*sqrt(13) + 472 Simplify (1*sqrt(1216)*-1 + sqrt(1216) - (1 + -1*sqrt(1216) - sqrt(1216)) - (-3 + -4*(1 + sqrt(1216)*-1)))**2. -192*sqrt(19) + 4900 Simplify ((-1 + (sqrt(1377) - (0 + sqrt(1377))) + 0)*4 + (sqrt(17) - (sqrt(833) + 3) - (sqrt(119) + sqrt(119)*-2 + sqrt(119) + sqrt(119))/sqrt(7))*4)**2. 896*sqrt(17) + 13584 Simplify (1 + -2*sqrt(1100)*-4 + (sqrt(1100) + -1*sqrt(1100))*-5 + 4 + ((sqrt(539) + -3*sqrt(539) + sqrt(539))*1 - -5*(-1 + sqrt(539))))**2. 128304 Simplify 3*((sqrt(1584) - (-3 + sqrt(1584) + (sqrt(1584) - -1*sqrt(1584))) - (4 + 1*sqrt(1584))) + (-6*sqrt(1584)*-2 - sqrt(1584))*6*-1)**2. 4968*sqrt(11) + 22624275 Simplify (sqrt(90)*3)/(sqrt(162)*-2) + -6*(sqrt(45) + -1) + -4. -37*sqrt(5)/2 + 2 Simplify 1 + 1 + (-5 + sqrt(2299) + 5)**2*-5*-3 + -4. 34483 Simplify ((sqrt(144)*-3)/sqrt(6))/(sqrt(96)/(sqrt(8)*-3)) - (((sqrt(14)/(sqrt(28)/sqrt(4)))**2 - (1 + sqrt(8))) + -1). 11*sqrt(2) Simplify (3*sqrt(1280) - (sqrt(500) - 2*sqrt(500)))/((-3*sqrt(80))/sqrt(8) + (sqrt(10) - sqrt(490)*-1)). 29*sqrt(2)/5 Simplify ((sqrt(175) - (((sqrt(175) + sqrt(175) + (sqrt(175) - sqrt(175)*-2))*-5)**2 + sqrt(175))) + sqrt(175)*4 + -1 - (-3 + (1*(-5 + 2 + sqrt(175)))**2))*-6. -300*sqrt(7) + 657342 Simplify (5*(sqrt(3267) - (3*sqrt(3267) - sqrt(3267) - sqrt(3267)))/(sqrt(72)/(sqrt(8)*-2)) + 1)**2 + 4. 5 Simplify -6*(sqrt(832) - (sqrt(832) - -5*sqrt(832))**2)*6 + (sqrt(832) - (sqrt(832) + (sqrt(832) - sqrt(832)*3)**2 + -4))*-3. -288*sqrt(13) + 1088244 Simplify (sqrt(200) + sqrt(200) + 1*(1 + sqrt(200)) + (sqrt(200) + 0)*1)**2 + ((sqrt(2) - (sqrt(242) + -4*sqrt(242))) + sqrt(792)/sqrt(11))**2. 80*sqrt(2) + 6401 Simplify (5 + 4*sqrt(117) + 3 - (-6*1*sqrt(1053))**2*-3)*6. 72*sqrt(13) + 682392 Simplify (5 + ((sqrt(242) - -2*sqrt(242)) + sqrt(242))*-5*2 + 3 + (sqrt(242) - (sqrt(242) + 0))*2 + 0 + 1 + sqrt(242) + sqrt(242) + sqrt(242))**2. -7326*sqrt(2) + 331379 Simplify 6*((5*sqrt(14)/sqrt(2) + sqrt(21)/(sqrt(3) + sqrt(9)/sqrt(3)))*-1)**2 + (sqrt(448)*2 + -5 + -5)**2 + 5 + 1. -320*sqrt(7) + 6337/2 Simplify -2*((2*sqrt(1584)*-2 + -1 + sqrt(1584) + 0)*1*-5*-2)**2*-3. 43200*sqrt(11) + 8554200 Simplify 4 + -3*((sqrt(7) - sqrt(112))*-1 - (sqrt(7) + 4 + sqrt(28)/sqrt(4) + sqrt(7))) + (((sqrt(112) - (1 + sqrt(112) + sqrt(112))) + -1)*3)**2. 144*sqrt(7) + 1060 Simplify -6*(-3*(sqrt(128) - -2*sqrt(128)) + -2)**2*-4*-6. -1493568 - 41472*sqrt(2) Simplify (-5*((0 + sqrt(605))*-4 - (-1 + -1 + sqrt(605))) + 0 + 5*(1*(sqrt(605) + (sqrt(605) - (0 + sqrt(605)))) + sqrt(605)) + 5)**2. -3850*sqrt(5) + 741150 Simplify (1*sqrt(360)*-5*4)/(3*-1*sqrt(72) - sqrt(72) - (sqrt(72) + -1*((sqrt(72) - sqrt(72)*1) + sqrt(72)))). 5*sqrt(5) Simplify 4*(2 + -4*(sqrt(1300) - (-1 + sqrt(1300) + sqrt(1300) + sqrt(1300))))**2 - (1 + (-3*(sqrt(1300) + 1))**2*-6). -200*sqrt(13) + 403069 Simplify (1*sqrt(121)*-5)/((sqrt(88)*1)/sqrt(8)) + 6*(-3*sqrt(99)*-4)**2. -5*sqrt(11) + 85536 Simplify ((sqrt(85) + (sqrt(85) + (4*sqrt(85) - sqrt(85)))*3 - ((-4*3*sqrt(85) - sqrt(85)) + sqrt(85)))/(sqrt(55)/sqrt(176) + sqrt(5) + sqrt(25)/sqrt(320)))**2. 680000/121 Simplify -3 + ((sqrt(600)/(-1*sqrt(360)))/(sqrt(120)/(sqrt(160)/sqrt(4))))**2. -22/9 Simplify (-5*(1 + sqrt(1539))*1 + -2 - (-4*(-2 + sqrt(1216)) + (sqrt(1216)*1 + sqrt(1216) - sqrt(1216)) + -2))**2. 546*sqrt(19) + 8548 Simplify (((3*(sqrt(70)*-1 - sqrt(70)) + sqrt(70) - sqrt(70)) + (-6*2*sqrt(70) - sqrt(70)))*-4)/(((sqrt(240) - -2*sqrt(240))/sqrt(8) - sqrt(30))/(sqrt(48)*3)). 456*sqrt(7) Simplify -2*(-4 + ((sqrt(125)*-2)**2*3 - sqrt(125))*4 + sqrt(125)*1 + 4 + 4). -12008 + 30*sqrt(5) Simplify ((sqrt(77) + sqrt(77)*1 - sqrt(77))*1*-5 + -3*(sqrt(77) - sqrt(77)*-1)*-1)/(sqrt(110)/(1*-2*sqrt(10) - sqrt(10)) - 5*1*sqrt(1331)). -3*sqrt(7)/166 Simplify ((3*(sqrt(171) + 5*sqrt(171)*-1 + 5*(1*sqrt(171) - sqrt(171))))/(4*1*6*(sqrt(9) - sqrt(9)*2)))**2. 19/4 Simplify (-1*(sqrt(500)*-5 + sqrt(500))*2)**2 + (sqrt(500) - (2 + (sqrt(500) - (sqrt(500) - (sqrt(500) - 1*sqrt(500)))) + sqrt(500))**2)*6. -180*sqrt(5) + 28976 Simplify 3*(-2*(sqrt(1100) + 2 + sqrt(1100)) + -2 + (sqrt(1100) - sqrt(1100)*2) + -6*(-4 + 5 + -1*sqrt(1100)))**2*6. -4320*sqrt(11) + 22392 Simplify (((sqrt(16)/sqrt(16))/(1*-2*sqrt(2)))**2 - (3 + sqrt(2) + 2)*-1*5)*6. 30*sqrt(2) + 603/4 Simplify (-1*(5 + (sqrt(300) + sqrt(300) + 1 - sqrt(300)) + sqrt(300)))**2 + (3 + -3 + -4 + sqrt(3) + 3)**2. 238*sqrt(3) + 1240 Simplify (-3 + -1 + ((sqrt(297) - sqrt(297)*-3)/sqrt(11))/((sqrt(441) - sqrt(9))*4) + 1)**2. -sqrt(3) + 109/12 Simplify (sqrt(1088) + 0)*2 + 5 + 2*(0 + sqrt(1088))**2*4 + 3 + -1. 16*sqrt(17) + 8711 Simplify (6*(-1 + sqrt(684)*-1)*5)**2 - -5*((sqrt(684) + (sqrt(684) - (sqrt(684) + -1)*1))*4)**2. 11760*sqrt(19) + 671300 Simplify -1*(0 + -6*1*(sqrt(2299) + 3 + 2)*-2)**2. -334656 - 15840*sqrt(19) Simplify ((-6*((sqrt(99) - 2*(sqrt(99) - (sqrt(99) + -5*sqrt(99)))) + sqrt(99) - sqrt(99)))/(sqrt(324)*3*-4))**2 + -3. 51/16 Simplify 1 + (((sqrt(112) + sqrt(112) + (1 + sqrt(112) - sqrt(112)) + sqrt(112) + -3 - (sqrt(112)*1*4 - sqrt(112))) + 4 + 5*(0 + sqrt(112)))*5)**2. 2000*sqrt(7) + 70101 Simplify ((5*(-3 + (sqrt(128)*3 - sqrt(128))) + (3 + sqrt(98) + 1)*-5)*-6)**2. -113400*sqrt(2) + 189900 Simplify (((sqrt(234)*4)/sqrt(9) + (sqrt(26) - (sqrt(416)*-4 + sqrt(26))))/((4*(sqrt(2) + sqrt(18)) - (sqrt(242)*-2 - sqrt(242)))*2))**2. 1300/2401 Simplify
{ "pile_set_name": "DM Mathematics" }
places? -78 Let r(j) = -9*j - 85. Let f be r(-25). Let h = f - 144. Round h to zero dps. -4 Let o = -1919.7 + 346.7. Let q = 1572.98941 + o. What is q rounded to 3 decimal places? -0.011 Let q(x) = -x**2 + 11*x + 28. Let p be q(13). Let n be (-336420014)/(-70) + p/(-10). What is n rounded to the nearest one hundred thousand? 4800000 Suppose 2*o = 3*o + 12. Let s be (-27)/o + (-3)/12. Suppose 4*a = s - 202. Round a to the nearest integer. -50 Let k be (1 + (-903265)/10)/((-1)/4). Suppose -k + 66884 = -2*y. Suppose 3*p = 3*j + 110391, j - y = 5*j + 3*p. Round j to the nearest one thousand. -37000 Let w = -82.4430671 - -82.447. What is w rounded to 5 dps? 0.00393 Let p = 106570126 - 106570065.990829. Let l = p + 34.9908355. Let w = l - 95. What is w rounded to 6 decimal places? 0.000007 Let a = 53.2328486 + -53.227. What is a rounded to 4 dps? 0.0058 Let z = 210.4993694 - 210.5. Round z to 5 dps. -0.00063 Let v(h) = -h**2 + 11*h - 5. Let b be v(10). Let a = -15 + 20. Suppose -2*m - 20 = b*y + 55, -3*m + a*y - 75 = 0. What is m rounded to the nearest ten? -30 Let x = 566.44 - 566.70249. Round x to 3 dps. -0.262 Let t = -68971 + 68970.99962071. Round t to 6 dps. -0.000379 Let d = 20227779681.21963924541525628 - 0.21963909141525627782. Let r = d + -20227779608. Let h = 73 - r. Round h to 7 dps. -0.0000002 Let p = 84702.8456 - 84694.745600027. Let a = 8.1 - p. What is a rounded to 7 decimal places? 0 Let s(v) = -3 + 1 + 1962*v - 3 - 19. Let q be s(2). What is q rounded to the nearest 100? 3900 Let r be 10/(-2) - ((-4 - 7) + 3). Suppose -o + 3*p = 3*o + 1119, -o = -r*p + 282. Round o to the nearest 100. -300 Let w = 9043 - 9042.999945046. What is w rounded to 6 decimal places? 0.000055 Let m = -314 - -4722. Round m to the nearest 10000. 0 Let j = 0.20752 - -2067.99248. Round j to the nearest 100. 2100 Let y = -4.874 - -4.94602. Let s = 0.072 - y. What is s rounded to 6 decimal places? -0.00002 Suppose -21*b + 26*b = 10. Suppose -b*d + 4 = -0. Suppose -k - 5*m = 485, -2*m + 278 + 728 = -d*k. Round k to the nearest 1000. -1000 Let l = 11.155 + -11.5479. Round l to one dp. -0.4 Let i be (35/10)/7 + (-7)/(-2). Suppose i*z - 701 = 379. What is z rounded to the nearest 1000? 0 Suppose -4368 + 822 = -2*m. Let x = m - 736. Round x to the nearest one hundred. 1000 Let v(l) be the third derivative of -l**5/60 + l**4/4 - 13*l**3/6 - 2*l**2. Let r be -3 + 0*(-5)/(-5) - 7. Let i be v(r). What is i rounded to the nearest 10? -170 Suppose -32*y + 15*y - 9517300 = -4*y. Round y to the nearest one hundred thousand. -700000 Let o = 748.829 + 7.971. Let b = o + -702. What is b rounded to zero dps? 55 Let y = 0.937 + -3.5728. Round y to the nearest integer. -3 Let b = 53718.0000044131 - 53718. What is b rounded to six decimal places? 0.000004 Let n = 75.19 - -10.61. Let r = n - 81. Let s = r + -4.8000014. Round s to 6 dps. -0.000001 Let t = -3016.1 - -3154. Let f = -128.77 - 0.23. Let k = t + f. What is k rounded to the nearest 10? 10 Let a = 9067248379.0000209 - 9067248770. Let i = a + 391. Round i to five decimal places. 0.00002 Let p = -643 - -642.936704. Round p to three dps. -0.063 Suppose 14*v = 40588616 + 4740052. Let x = 1881762 - v. Round x to the nearest one million. -1000000 Let o = 7.307027 + -7.3554. What is o rounded to 2 dps? -0.05 Let j = 68 - 6. Let n = -30 + j. Let q = n - 31.99999845. What is q rounded to seven decimal places? 0.0000016 Let n = 51.4 - -182.6. Let b = 233.529 - n. Round b to 1 decimal place. -0.5 Suppose -3*j + 60375810 = -112454190. Round j to the nearest 1000000. 58000000 Let a(m) = m**3 + 5*m**2 - 3*m - 19. Let k be a(-6). Let s = k + 40. Let l be 68/(-8)*-62 + s. Round l to the nearest 100. 500 Let t = -157 + 161. Suppose -4430292 = t*h + 10849708. Round h to the nearest one hundred thousand. -3800000 Let v = 10388.00040576 - 10388. Round v to six dps. 0.000406 Let b = 43.117 - 43.11741955. What is b rounded to five dps? -0.00042 Let o = -0.374 + 0.248. Let i = -0.125967 - o. What is i rounded to 5 dps? 0.00003 Let p = 68 + 68. Let l = p - 135.918. Let q = 0.04 - l. Round q to 2 dps. -0.04 Let l(j) = -204624*j**3 - 4*j**2 + 20*j - 80. Let o be l(4). Round o to the nearest 1000000. -13000000 Let a = 1190487 + -162243. Let q = a + 1463756. What is q rounded to the nearest 100000? 2500000 Let i = -21.569981635 - -21.57. What is i rounded to 7 dps? 0.0000184 Let p = 7403 - 7402.99999994727. What is p rounded to seven dps? 0.0000001 Let w = -136003802852.999999922 - -136003802355. Let k = w + 498. Round k to 7 decimal places. 0.0000001 Let d = 2682.10107 - 2682. What is d rounded to 1 dp? 0.1 Let f = 110071 + -110060.9354. Let y = -10 + f. What is y rounded to two decimal places? 0.06 Let m = 6470.038872 + -6470. Round m to four dps. 0.0389 Let d = 2459 - 1198. Let i = d + -1260.143. What is i rounded to 1 decimal place? 0.9 Let i(b) = -299416*b - 2368. Let f be i(-23). Round f to the nearest 1000000. 7000000 Let f = -322 + 322.04175. Let p = f + -0.04. What is p rounded to 3 dps? 0.002 Let r = -8848144980 + 8848145024.399999916. Let q = -44.4 + r. What is q rounded to seven dps? -0.0000001 Let q = -645.993962 + 646. Round q to three dps. 0.006 Let d = 1761 - 665. Let i = 1095.8478 - d. What is i rounded to 2 decimal places? -0.15 Let b = -1066.39 - -733.1. Round b to the nearest integer. -333 Let b = 0.73 + -0.785. Let u = b + 0.071. Let c = u + -0.112. Round c to 2 dps. -0.1 Let h = -2.14 + 0.14. Let q = -2.83 - h. Let d = 0.93 + q. What is d rounded to 2 decimal places? 0.1 Let s = -0.12665774 + 0.1268. Round s to 6 dps. 0.000142 Let i = 1988 - 3508. Let f = i - -1519.363. What is f rounded to 2 dps? -0.64 Let j = 109342.1742 + -67256.087. Let l = j + -41867.0871837. Let i = l + -219. What is i rounded to six dps? 0.000016 Let c = -6131 + 6135.351. Round c to one dp. 4.4 Let w = 9104 - 9103.91509. Round w to 2 decimal places. 0.08 Let c = -16710433983 + 16710433990.6940356643. Let s = c + 62.8059640027. Let p = s - 70.5. What is p rounded to 7 dps? -0.0000003 Let p = -0.986 + -937.014. Let m = -938.00001216 - p. Round m to six decimal places. -0.000012 Let q = 2508.8417 - 2509. Let h = q - -0.2502. Round h to two decimal places. 0.09 Let f = -88 - -85.05. Let l = f - -15.25. Let a = l - 4.7. What is a rounded to 0 decimal places? 8 Let l(x) = 368*x**3 + 2*x**2 - x + 1. Let u be l(2). Suppose -3*y = 4*c - 1629, -y + u = 5*c + 912. Suppose c = 4*t + 12. Round t to the nearest 10. 100 Let c = -83077.000067958 + 83077. What is c rounded to six dps? -0.000068 Let r = 366079 - 366079.0169737. Round r to four dps. -0.017 Let t = 8811962 + -5004962. Round t to the nearest 1000000. 4000000 Let m = -140 + 78. Let z = 67 + m. Suppose 3*y + 5*l + 1205 = 0, 4*l + 515 = z*y + 2511. Round y to the nearest one hundred. -400 Let o = 683559 - 683560.0492185. Let u = o + 1.0212. Let a = 0.028 + u. Round a to six dps. -0.000019 Let q = 0.00271073411 + -0.03211804628. Let w = 248.97060298783 - q. Let v = 249 - w. What is v rounded to six dps? -0.00001 Let r be 3714/24 + 3/12. Suppose 1035 + r = -v. What is v rounded to the nearest 1000? -1000 Let u = 13008644.99988 + -13008397. Let i = u - 248. What is i rounded to 3 decimal places? 0 Let v = 0.01435 - 0.0139383. Round v to 4 decimal places. 0.0004 Let b = 39.9 - 224.9. Let q = b + 185.0000381. What is q rounded to 6 decimal places? 0.000038 Let o(y) = 220*y**2 + 96*y + 60. Let z be o(32). Let n = -147612 + z. What is n rounded to the nearest 10000? 80000 Let b = 11864 + -11864.0008375. Round b to 5 dps. -0.00084 Let p(q) = 3*q + 4. Let t be p(-2). Let b be (-1 - 246) + t + 7 + -7. Let l = -49 - b. What is l rounded to the nearest 10? 200 Let o(f) = -2*f**3 - 8*f**2 - 25*f + 80. Suppose -72 = -5*d - 4*j, 4*j + 2 - 58 = -4*d. Let u be o(d). What is u rounded to the nearest 100? -10600 Let c = 22.3 - 15.24. Let i = 2.57 - c. What is i rounded to one decimal place? -4.5 Let x = 117078 + -116932.261. What is x rounded to the nearest ten? 150 Let b = 14426970520 + -14426971021.00000726. Let l = 501 + b. What is l rounded to seven dps? -0.0000073 Let i = -14.7287216 - -14.723. Round i to five dps. -0.00572 Let c = -23 + 26. Suppose c*p - 5*p - 3115200 = 4*x, 778810 = -x - 3*p. Let u = x + 1698798. What is
{ "pile_set_name": "DM Mathematics" }
.00167 Round -6642911.7 to the nearest 1000. -6643000 Round 15720580.5 to the nearest one million. 16000000 Round 40.29172623 to the nearest integer. 40 Round -869471.32 to the nearest 100000. -900000 What is 18983.245 rounded to the nearest 100? 19000 Round -0.7834973599 to 3 decimal places. -0.783 Round -754073.662 to the nearest 10000. -750000 What is -855696.9 rounded to the nearest one thousand? -856000 Round 1099715.1566 to the nearest 10000. 1100000 Round 397.64204 to the nearest 1000. 0 What is -9.7113479 rounded to one decimal place? -9.7 Round -0.0004078817 to 5 dps. -0.00041 Round -0.00286856725 to two decimal places. 0 Round -1748.9307 to the nearest one hundred. -1700 What is -165.6247 rounded to the nearest ten? -170 Round -24504828800 to the nearest 1000000. -24505000000 Round 0.000000702801641 to 7 decimal places. 0.0000007 What is -65396.4116 rounded to the nearest 1000? -65000 What is 48.356486 rounded to the nearest ten? 50 What is 424782.081 rounded to the nearest 10000? 420000 Round 25.598766 to the nearest ten. 30 What is -83376.4437 rounded to the nearest 10000? -80000 Round -0.000000176430072 to 7 decimal places. -0.0000002 Round -5.23598748 to 4 dps. -5.236 Round -1.773409437 to two dps. -1.77 What is 0.000418157955 rounded to seven decimal places? 0.0004182 What is 0.04392619597 rounded to 3 dps? 0.044 What is 132510915 rounded to the nearest ten thousand? 132510000 What is 623.1389208 rounded to two dps? 623.14 Round 0.02813482725 to six dps. 0.028135 What is -0.0000052505858 rounded to 6 dps? -0.000005 Round -17.891021 to zero decimal places. -18 Round -5485235.7 to the nearest 100000. -5500000 What is -180.027164 rounded to the nearest 10? -180 What is 0.00001170796191 rounded to seven dps? 0.0000117 Round 10445817.114 to the nearest 1000. 10446000 Round -459957.3 to the nearest 1000. -460000 What is -570.82073 rounded to the nearest 100? -600 Round -0.000615381732 to six decimal places. -0.000615 What is -0.033547415 rounded to three dps? -0.034 What is -22135.2265 rounded to the nearest 10? -22140 Round 19517.91697 to the nearest 1000. 20000 What is 0.00092876762 rounded to 5 dps? 0.00093 Round 77728.1785 to the nearest 1000. 78000 Round 0.034699064312 to five decimal places. 0.0347 What is -0.0825033663 rounded to 2 dps? -0.08 What is 0.00134542375 rounded to 6 dps? 0.001345 Round 0.000635139945 to four decimal places. 0.0006 What is -29982810900 rounded to the nearest one million? -29983000000 What is 110492600 rounded to the nearest 1000000? 110000000 What is -0.00003061611603 rounded to five decimal places? -0.00003 What is 133353238 rounded to the nearest ten thousand? 133350000 What is -5844.1355 rounded to the nearest 1000? -6000 Round -29074.67281 to the nearest ten. -29070 Round -1298714240 to the nearest 1000000. -1299000000 What is -0.792415116 rounded to four decimal places? -0.7924 Round 65291.342 to the nearest ten thousand. 70000 Round -1824493.73 to the nearest one thousand. -1824000 Round 0.000002529382994 to seven decimal places. 0.0000025 Round 0.000824044041 to 4 dps. 0.0008 Round -37.2401208 to three decimal places. -37.24 What is 0.0000445366017 rounded to seven decimal places? 0.0000445 Round -731856670 to the nearest one hundred thousand. -731900000 Round -556272440 to the nearest 1000000. -556000000 Round 16.1456017 to the nearest integer. 16 Round -3704.3972 to the nearest 100. -3700 What is 9211.5522 rounded to 0 dps? 9212 Round -247.236849 to one decimal place. -247.2 What is 0.0000003936337578 rounded to seven dps? 0.0000004 Round -0.24594695 to 3 dps. -0.246 Round 24.0851159 to the nearest integer. 24 Round 0.447139013 to 5 dps. 0.44714 What is 2.472275007 rounded to two dps? 2.47 What is -949668661.2 rounded to the nearest 1000000? -950000000 Round 6859.1753 to the nearest ten. 6860 Round 0.174618454 to three dps. 0.175 What is -173.4085356 rounded to the nearest one hundred? -200 Round 0.00000191701065 to 6 decimal places. 0.000002 Round 0.0000591024931 to six decimal places. 0.000059 What is 0.0002693599822 rounded to five decimal places? 0.00027 Round -7344443.47 to the nearest ten thousand. -7340000 Round -1195.49247 to 1 decimal place. -1195.5 What is 34064.5999 rounded to the nearest ten thousand? 30000 What is -24101.1794 rounded to the nearest 10000? -20000 Round -2840.48705 to the nearest one hundred. -2800 What is 0.068945561 rounded to three dps? 0.069 What is 26625.868 rounded to the nearest 10? 26630 What is 34.7752144 rounded to the nearest integer? 35 What is 74517976 rounded to the nearest one hundred thousand? 74500000 What is -0.00001519842 rounded to four dps? 0 What is 8429728.22 rounded to the nearest ten thousand? 8430000 Round 16689526.1 to the nearest 10000. 16690000 Round -7665387.129 to the nearest 1000000. -8000000 Round -0.000655340618 to seven dps. -0.0006553 What is 1393623.55 rounded to the nearest one thousand? 1394000 Round -65555641.4 to the nearest ten thousand. -65560000 Round 44.0742108 to three decimal places. 44.074 What is 3651103800 rounded to the nearest 100000? 3651100000 What is -0.000063951033 rounded to six decimal places? -0.000064 Round 113751.2281 to the nearest one hundred. 113800 Round 34.68476397 to 2 dps. 34.68 What is -1.109992608 rounded to 1 decimal place? -1.1 Round 70270608.51 to the nearest one million. 70000000 What is 806.991636 rounded to the nearest one hundred? 800 What is -0.0001362286072 rounded to seven decimal places? -0.0001362 Round -6843.35084 to the nearest one hundred. -6800 Round 0.0000034384749 to 6 dps. 0.000003 What is -0.0584868595 rounded to five dps? -0.05849 Round -452539.6257 to the nearest one hundred thousand. -500000 What is -0.04205706 rounded to 2 decimal places? -0.04 Round 16976.88 to the nearest 1000. 17000 Round -1010.02595 to the nearest integer. -1010 What is -0.0057471714 rounded to five dps? -0.00575 Round 227502.8928 to the nearest ten. 227500 Round 6478096.074 to the nearest 1000000. 6000000 What is 0.78747981 rounded to three dps? 0.787 Round -0.01204759915 to 7 dps. -0.0120476 Round -0.0000359488538 to six dps. -0.000036 Round 0.2486334493 to three decimal places. 0.249 Round -0.00000263170842 to 6 dps. -0.000003 What is 1841751723 rounded to the nearest one hundred thousand? 1841800000 What is 5516.71105 rounded to the nearest 1000? 6000 What is -0.0000132396095 rounded to 7 dps? -0.0000132 What is 0.0000516946389 rounded to 7 decimal places? 0.0000517 Round -390.96688 to one decimal place. -391 Round -1630.205 to one decimal place. -1630.2 Round -26860.8656 to the nearest one thousand. -27000 What is -0.000023158564 rounded to 5 decimal places? -0.00002 What is -0.735669596 rounded to two decimal places? -0.74 Round -0.000051374701 to five dps. -0.00005 Round -0.000962525797 to 4 decimal places. -0.001 What is 0.000634203271 rounded to four decimal places? 0.0006 What is 280.2824739 rounded to the nearest 10? 280 Round 21240334700 to the nearest 1000000. 21240000000 Round 1.5778146 to one decimal place. 1.6 What is -0.000474318682 rounded to seven decimal places? -0.0004743 What is 250101847 rounded to the nearest 100000? 250100000 What is -3851070.13 rounded to the nearest one thousand? -3851000 What is -4.8762209 rounded to the nearest integer? -5 Round -0.00527486688 to seven dps. -0.0052749 Round -0.000011430627 to seven dps. -0.0000114 What is 7634.96107 rounded to 1 decimal place? 7635 Round -2109.10571 to the nearest 10. -2110 Round -0.000379745991 to four decimal places. -0.0004 Round 7823426.407 to the nearest one hundred thousand. 7800000 Round 0.0000236978516 to 7 decimal places. 0.0000237 Round -0.000220647212 to 7 dps. -0.0002206 What is -0.00000689363 rounded to seven decimal places? -0.0000069 What is -1328012.98 rounded to the nearest 100000? -1300000 Round -3931.35755 to the nearest integer. -3931 What is -33732.23358 rounded to the nearest ten? -33730 What is -124096.1585 rounded to the nearest ten thousand? -120000 What is -666.34326 rounded to the nearest one thousand? -1000 What is 135255.5817 rounded to the nearest 100? 135300 What is -65.35901749 rounded to 1 decimal place? -65.4 Round 823592.805 to the nearest 1000. 824000 What is -0.087832681 rounded to
{ "pile_set_name": "DM Mathematics" }
lse Let d = 1 + -0.9. Let y = 0 - d. Is -3/2 at least as big as y? False Suppose 0 = -3*i + 4*h + 25, -i - 7 = -2*i + h. Suppose -s - 6 = -i*s - 2*f, 0 = 3*f. Is 5 at most as big as s? False Let d(f) = -f - 8. Let j be d(-9). Suppose -3*x - j = -4*x. Let k be 3*((-25)/27 - -1). Which is bigger: x or k? x Suppose -100 = -2*c + 4*j - 32, -5*j = 4*c - 110. Let x = c - 20. Is x > 9? True Let w = 2.035 + -0.035. Which is bigger: w or 2.2? 2.2 Let j be (1 - -2)*(-18)/243. Which is smaller: j or 0? j Suppose 2*w = 2*a - 2 - 8, 3*w = -3*a - 15. Is w less than or equal to 1? True Suppose -2*a = -5*a - 9. Let v = -7 - -5. Is v greater than or equal to a? True Suppose 3*w = -3*h + 45, 0 = -5*w - 4*h + 38 + 35. Is w not equal to 13? False Suppose -15 = -3*z, 0*n + 5*n + 2*z = -10. Let q = -1 + n. Suppose -y = 5*w + 13, -5*w = -2*y - 0 + 4. Is q > y? False Let a(l) = -l**2 - 3*l + 4. Let h be a(5). Let o be (-1)/5 - h/30. Is o != -1/8? True Suppose -4*k - 16 - 8 = 0. Let t = k - -5. Which is greater: -2/11 or t? -2/11 Let j = 0.16 - 0.06. Which is greater: 7 or j? 7 Suppose 4*o = 2*o - 5*d + 12, -3*o - 3 = -3*d. Do -1/3 and o have the same value? False Suppose g - 44 = 5*c, 0 = 5*g + 3*c + 1 - 165. Which is smaller: g or 33? 33 Suppose -2*t + 9 = t. Suppose 4*l = 5*g + 22, l + 5*g + 16 - 9 = 0. Is l smaller than t? False Let f = -19/18 + 5/9. Which is bigger: -1 or f? f Let t = 52 - 53. Is t != -2/183? True Let u(z) = -z - 3. Let v(w) = 2. Let s(m) = 2*u(m) + 2*v(m). Let j be s(3). Is j smaller than -9? False Suppose 0 = -6*x + 11*x. Is 1 greater than x? True Suppose 2 = -3*p + 2*p. Let s = 5 + -8. Let v = -4 - s. Is p > v? False Suppose -5*z + 8 = 2*h, -4*z + 6 = 2*h - 0. Which is smaller: h or -9? -9 Suppose -d - 1 = 0, -b + 2*d = -0*d - 2. Which is bigger: b or -2/25? b Let g be (-2)/8 + 18/8. Let q be g/(-5) - (-48)/20. Suppose u - q*w + 1 = 0, w + 2 = -2*u + 4*w. Is u at least as big as -2/11? False Let d(r) = 2*r**2 + r. Let b be d(4). Let q be 2/(-6) + 8/b. Which is bigger: -1 or q? q Suppose 0 = -2*p - t - t + 42, 5*t - 21 = -p. Let x = -15 + p. Which is smaller: x or 5? 5 Let v be 42/28*2/(-3). Is 3/28 not equal to v? True Suppose 9*w + 9 = 4*w - 3*g, 9 = -3*g. Let v(b) = b**2 + 6*b + 4. Let o be v(-5). Is w greater than or equal to o? True Let r be 36/30 + 2/(-10). Suppose -y - 3 = -x, -3*x + 3 = 4*y + r. Is 2 bigger than x? False Let u(r) = r - 5. Let c = 11 + -6. Let v be u(c). Let j = 3/8 + -7/40. Is v less than or equal to j? True Let o be ((-5)/(-10))/(7/2614). Suppose -4*k - 416 = 4*q - 1156, 5*k - 941 = 3*q. Let b = o - k. Is -1 greater than or equal to b? False Suppose -32 = -g + 5*g. Let x = g - -3. Which is greater: x or 2/9? 2/9 Let f = -12 - -8. Let j(p) = p**3 + 2*p**2 + 2. Let m be j(f). Let w be m/9 + (-1)/(-3). Is -3 not equal to w? False Let v = 2/795 - -15101/1590. Is 10 greater than v? True Suppose 8 = 4*q - 0. Suppose -2*o + q = -2. Is 0 bigger than o? False Let g = 315182 + -3463704/11. Let x = 300 - g. Which is greater: x or 1/3? 1/3 Let r be (-5)/(-5)*(2 - 1). Is 0 greater than or equal to r? False Let m = -41 + 27. Let u be (-16)/12*3/m. Let q = 59/93 - -1/31. Which is smaller: q or u? u Let k(w) = 2 - 2*w - 5*w + 0 - 1. Let v be k(1). Let f be 1 + v*2/10. Which is greater: 0 or f? 0 Let b(v) = -v**3 - 11*v**2 - 11*v - 17. Let h be b(-10). Which is smaller: -6 or h? h Let v(u) = -3*u + 5. Let t be v(3). Is t less than -5? False Suppose 4*u + m = 14, 3*u - 5*m - 22 = -0*m. Suppose 0 = u*l - 5*l - 2. Which is greater: l or 0.1? 0.1 Suppose 2*z - 4*u - 18 = -u, 0 = 2*z + 2*u + 2. Let r = 4 - z. Is r <= 3/2? True Let q(y) = -2*y. Let i be q(-1). Let m be 1/((-3)/42*i). Is m > -5? False Suppose 4 = w - 12. Which is smaller: w or 17? w Let b be (-24)/(-36) + 4/3. Suppose 5*q + 3*u = 22, -2*u - 17 = 2*q - 5*q. Suppose -3*l + 6 = 2*i, -2*i + 4 = 2*l - q*i. Is l at most as big as b? True Let w = -3 - -9. Suppose -2*r - 64 = -w*r. Let x be 2/8*r/(-18). Which is smaller: -0.1 or x? x Let b be ((-12)/(-84))/((-2)/4). Suppose 0 = f - 3*f + 2. Suppose -f - 3 = -4*l. Is b at most as big as l? True Let a(r) = r**2 - 5*r + 5. Let b be a(4). Let j = 3 - b. Let y be (3 - 0) + (-3 - j). Do 0 and y have different values? True Let l = 41/57 - 1/19. Let w(x) = 3*x + 1. Let p(a) = -4*a. Let t(z) = -2*p(z) - 3*w(z). Let g be t(-3). Which is smaller: l or g? g Let g be -14*(-2)/(-4) - 2. Are -10 and g equal? False Suppose -5*k - 12 + 42 = 0. Which is bigger: 4 or k? k Let m(b) = -b**3 - 4 - 8*b**2 + 0 + 7*b + 13*b**2. Let w be m(5). Suppose 0 = 3*i - 0*i - 3*y + 9, 5*i = -3*y - w. Are -4 and i equal? False Let a = 9 - 1. Let o be (4/a)/((-2)/4). Let r be o/1 + 2/5. Which is bigger: 1/3 or r? 1/3 Let i = -0.12 + 0.02. Let z = 72.2 - 79.06. Let n = z - 0.14. Is i >= n? True Suppose 2*p + 3*p + 10 = 0. Let c = -19 + 38. Suppose c*r = 14*r - 10. Is p bigger than r? False Suppose -3*b = -4*b + z + 7, 0 = -b + 3*z + 15. Let r(a) = -a**2 - 6*a - 2. Let o be r(-6). Let h be (-112)/(-40) - o/10. Is b less than h? False Let x be ((-14)/(-21))/((-5)/36). Which is greater: -5 or x? x Suppose 11 = -4*x - 9. Which is greater: -4 or x? -4 Suppose 6 - 6 = 5*q. Are q and -9/20 equal? False Let y be (-34)/(-4 - 75/(-10)). Which is smaller: y or -11? -11 Let a = -0.5 - -0.3. Let d = 2.2 + a. Let g = d - 0. Which is smaller: -0.1 or g? -0.1 Suppose -s = -2*s. Which is smaller: s or -1/19? -1/19 Let g = -6 - -11. Suppose -4*o - 2*c + 17 = -g, 10 = 2*c. Suppose 3*s = l + o - 0, -4 = -l - 4*s. Is l at least -5/4? True Let p(s) = -s**3 + s**2 + 5. Let z be p(0). Let n be (-1)/(-1) - 3/z. Which is smaller: n or 1? n Let p = 73.02 - 73. Let a = 3.2 + -2.82. Let u = a + p. Is u > 0? True Let l(j) = -j**2 - 5*j - 6. Let s be l(-5). Let k be 8/s*3/2. Which is smaller: -2/3 or k? k Let p = -18.88 + 18.8. Which is smaller: p or -0.1? -0.1 Suppose 3*v - 44 = -0*r + 2*r, -2*v + 28 = -r. Let y = v + -7. Suppose -4*h - 13 = -3*l, 2*h - y*l = -2*h - 19. Which is greater: -2/3 or h? -2/3 Suppose 3*i - 2*r - 17 = -0*r, 3*i - r - 13 = 0. Let o(c) = c**3 - 4*c**2 + 2*c - 6. Let q be o(4). Which is bigger: q or i? i Let f = -15158499432/8483 + -4410322794332/11307839. Let t = f + 2176950. Let x = t - -12/43. Which is smaller: x or -1? -1 Suppose 3*i = -h + 3, 5*i - 3*h = 2*i - 9. Suppose i*v = 5*w - 2*v - 8, -3*w + 12 = -3*v. Is 0.01 not equal to w? True Let c(j) = j**3 + 7*j**2 - 8*j + 10. Let g be c(-8). Let n be (-9)/g - 1/(-2). Is -1 < n? True Let p be (-9528)/(-108) + (-4)/18. Let j = -266/3 + p. Which is greater: j or 2/9? 2/9 Let v = 12 + 0. Is v at least 13? False Let h = 76 + -63. Which is bigger: h or 12? h Let u = -0.5 - -0.4. Which is smaller: u or 2/15? u Suppose 0 + 10 = 2*l. Which is smaller: 0.1 or l? 0.1 Suppose 20 = -5*y + 5*p, 0*y - 3*y + 18 = 3*p. Let o = -821/9 - -91. Which is smaller: o or y? o Let a be 5/(-10) + 9/2. Suppose 2*x = -2*x - a. Let z = -56/3 + 18. Which is smaller: x or z? x Let g = 15 - 10. Suppose -g*l + 4 = 4*v - 3*v, -v + 4 = 4*l. Let z be (3/(-15))/((-3)/5). Does l = z? False Let f = 6 + 0. Let l(t) = t**3 - 7*t**2 + 7*t - 5. Let k be l(f). Which is smaller: 2/5 or k? 2/5 Let f = 13.8 - 5.9. Let o = f + -8. Are 2 and o equal? False Let w be (-24 + 4)/((-4)/2). Let t be 15/69*(-4)/w. Which is greater: t or -1? t Suppose 0 = -2*x - 2*c, x - 3*x - 3*c = 1. Let j be 2 - (x + 8/14). Is j equal to 1? False Let d be 1/(-4*1)*-4. Suppose -2 = -f - d. Is -1/4 bigger than f? False Suppose -10 + 26 = 2*h. Let k = 4 - h. Let w = -6 - k. Is w equal to -1? False Suppose -v + 2*v - 3*h = -12, -4*v + 4 = h. Let z(m) = -6*m. Let f be z(3). Let s be (-10)/9 + 4/f. Is s at least as big as v? False Let d(s) be the first derivative of s**3/6 - 2*s**2 - s - 1. Let j(b) be the first derivative of d(b). Let o be j(3). Is o < -1/2? True Let j = 0.19 - 0.2. Let w = -16 - -17. Which is smaller: j or w? j Let u = -136 - -158. Are u and 22 nonequal? False Let o = -6 - -6.02. Let u = o - 0.02. Let x = 42 + -127/3. Do x and u have different values? True Let r be (0 + -1)/(2/52). Which is smaller: -25 or r? r Suppose -o - 3*c - 5 = 0, o - 5*c + 2*c - 1 = 0. Let a be 0 + (-2 - -3) + o. Is a at least -2? True Let n be 1100/(-48) - (-1)/4. Let z = -45/2 - n. Does 0 = z? False L
{ "pile_set_name": "DM Mathematics" }
16844, 21045, 25246? 29447 What is the next term in 196335, 785321, 1766965, 3141267, 4908227, 7067845, 9620121? 12565055 What is next in 4040332, 4040592, 4040852, 4041112, 4041372? 4041632 What comes next: 23352, 23155, 22620, 21579, 19864, 17307, 13740, 8995? 2904 What comes next: -73505173, -147010345, -220515517, -294020689, -367525861, -441031033? -514536205 What is next in -58585, -58943, -59551, -60415, -61541, -62935? -64603 What is next in 688237, 688120, 688001, 687880, 687757? 687632 What comes next: 54401, 108811, 163221? 217631 What is the next term in -2733, -11140, -25149, -44700, -69733, -100188? -136005 What is next in 138, 625, 1654, 3423, 6130, 9973? 15150 What is the next term in -185267, -370701, -556135, -741569? -927003 What is next in 917932, 1835924, 2753916, 3671908, 4589900? 5507892 What is next in -11404, -48793, -112164, -201517? -316852 What comes next: 43868, 43817, 43762, 43703, 43640, 43573, 43502? 43427 What is the next term in 94123, 94776, 95429, 96082, 96735? 97388 What is the next term in -21834, -21703, -21500, -21189, -20734? -20099 What is the next term in -27893335, -55786671, -83680007, -111573343? -139466679 What comes next: -543049, -542835, -542621? -542407 What is next in -36537, -36902, -37437, -38142? -39017 What is the next term in -2936, -2919, -2990, -3149, -3396, -3731? -4154 What is the next term in -1775790, -3551588, -5327386, -7103184? -8878982 What comes next: -459, -1006, -1653, -2436, -3391? -4554 What is next in 20896, 42633, 64370, 86107? 107844 What is the next term in -337129, -337147, -337197, -337291, -337441, -337659, -337957? -338347 What comes next: -70485, -281925, -634295, -1127571, -1761729, -2536745, -3452595? -4509255 What is next in -172524, -344886, -517248, -689610, -861972? -1034334 What is the next term in -6306, -12423, -18540, -24657? -30774 What comes next: -1743, -1702, -1559, -1254, -727, 82, 1233, 2786? 4801 What comes next: -27866041, -55732084, -83598129, -111464176, -139330225, -167196276? -195062329 What is next in -692, -735, -890, -1229, -1824, -2747? -4070 What comes next: 5258771, 10517549, 15776327? 21035105 What is next in -13070, -26706, -40342, -53978? -67614 What comes next: 52531, 51694, 50299, 48346, 45835, 42766, 39139? 34954 What comes next: -10569, -21909, -33249, -44589, -55929, -67269? -78609 What comes next: 1457, -237, -5077, -13063, -24195, -38473, -55897? -76467 What comes next: -106, -244, -62, 788, 2654, 5884, 10826, 17828? 27238 What is next in -234347, -234326, -234291, -234242, -234179? -234102 What is next in -808222, -808234, -808246? -808258 What is next in 287930, 575314, 862698? 1150082 What is the next term in 713258, 1426518, 2139778, 2853038, 3566298, 4279558? 4992818 What is the next term in -1129696, -1129721, -1129746? -1129771 What is the next term in -33550, -25584, -12308, 6278, 30174, 59380? 93896 What is next in -2419, -4958, -9169, -15052, -22607? -31834 What is the next term in -21278, -20681, -20084, -19487? -18890 What comes next: 9051914, 18103848, 27155782, 36207716, 45259650? 54311584 What is next in -310080, -619588, -929096, -1238604? -1548112 What comes next: -130464, -260680, -390646, -520362, -649828? -779044 What is the next term in -606, -2705, -6282, -11337, -17870? -25881 What is next in -12074, -96606, -326038, -772820, -1509402? -2608234 What comes next: 9847, 26175, 53391, 91495, 140487, 200367, 271135? 352791 What is the next term in -29439, -58830, -88221, -117612? -147003 What is the next term in -25197864, -25197865, -25197866, -25197867, -25197868? -25197869 What is next in 4806, 4737, 4668, 4599, 4530? 4461 What is the next term in -2614, -20852, -70350, -166738, -325646? -562704 What is the next term in 15604049, 15604018, 15603987, 15603956? 15603925 What is the next term in 411, 729, 1083, 1473, 1899? 2361 What is next in 355917, 1423739, 3203461, 5695089, 8898629, 12814087? 17441469 What is the next term in -84385, -337443, -759201, -1349659? -2108817 What comes next: -844503, -844401, -844233, -843999, -843699, -843333? -842901 What is the next term in -791, -932, -1119, -1370, -1703, -2136, -2687, -3374? -4215 What is the next term in 15783, 15964, 16149, 16338, 16531, 16728, 16929? 17134 What is next in 814, 3230, 7268, 12916, 20162? 28994 What is next in -21367, -21362, -21353, -21340? -21323 What comes next: 157469, 157472, 157479, 157484, 157481, 157464, 157427, 157364? 157269 What comes next: -38313501, -38313499, -38313497, -38313495? -38313493 What is next in 168114, 336224, 504330, 672426, 840506? 1008564 What comes next: 1039, 1908, 2643, 3250, 3735, 4104? 4363 What is next in -18562, -82515, -189102, -338323, -530178, -764667, -1041790? -1361547 What is the next term in 5997286, 11994584, 17991880, 23989174, 29986466, 35983756? 41981044 What is next in 4260, 3957, 3448, 2727, 1788, 625, -768? -2397 What is the next term in -11612, -23260, -34922, -46598, -58288? -69992 What is next in -400663, -400935, -401389, -402025, -402843, -403843? -405025 What is the next term in 79, 162, 231, 298, 375, 474, 607? 786 What comes next: 9339269, 18678553, 28017839, 37357127, 46696417, 56035709? 65375003 What comes next: 1919, 3820, 5631, 7292, 8743, 9924, 10775, 11236? 11247 What is next in -3595, -8709, -16857, -29551, -48303, -74625, -110029? -156027 What is next in 30, 273, 516? 759 What is the next term in -28421, -26575, -24733, -22895, -21061? -19231 What is next in -841, -1890, -3657, -6154, -9393, -13386, -18145? -23682 What is the next term in -78080, -311433, -700062, -1243967, -1943148? -2797605 What is the next term in 229721, 229784, 229881, 230012, 230177, 230376? 230609 What is the next term in -9001, -17929, -26855, -35779, -44701, -53621, -62539? -71455 What comes next: 29934, 30104, 30590, 31560, 33182, 35624? 39054 What is the next term in -98069, -392070, -882093, -1568156, -2450277, -3528474, -4802765? -6273168 What is the next term in -22597, -46444, -71529, -97852, -125413? -154212 What is the next term in -33473, -33452, -33491, -33620, -33869, -34268, -34847, -35636? -36665 What comes next: -210528, -421019, -631510, -842001? -1052492 What is the next term in 842216, 1684419, 2526626, 3368843, 4211076, 5053331, 5895614? 6737931 What is the next term in -2035, -8039, -18021, -31969, -49871, -71715? -97489 What comes next: 609162, 609175, 609188, 609201, 609214? 609227 What is next in 122649491, 122649488, 122649485, 122649482, 122649479? 122649476 What is the next term in -736022, -2944090, -6624188, -11776310, -18400450, -26496602? -36064760 What is the next term in -111368, -222755, -334160, -445583, -557024, -668483? -779960 What is the next term in 4451326, 4451327, 4451328, 4451329, 4451330? 4451331 What is next in 2129, 8777, 19939, 35609, 55781, 80449, 109607? 143249 What comes next: -34065, -68115, -102145, -136155, -170145, -204115, -238065? -271995 What comes next: 837034, 1674174, 2511314, 3348454? 4185594 What comes next: 50845, 101660, 152419, 203128, 253793? 304420 What comes next: -99172, -99170, -99178, -99202, -99248, -99322, -99430? -99578 What is the next term in -79793874, -79793861, -79793848? -79793835 What is the next term in -2507, -5299, -8421, -11885, -15703? -19887 What is the next term in 38047, 152151, 342305, 608503, 950739? 1369007 What is next in -980421, -980390, -980359, -980328? -980297 What is next in -49, -1316, -2583, -3850, -5117, -6384? -7651 What is the next term in -2026, -4225, -6590, -9127, -11842? -14741 What is next in 62770, 129354, 195938, 262522, 329106? 395690 What comes next: 5758, 5061, 4360, 3655, 2946? 2233 What is the next term in 3283, 3334, 3339, 3274, 3115? 2838 What is next in -2367980, -4735868, -7103756, -9471644, -11839532, -14207420? -16575308 What is the next term in -70031837, -140063674, -210095511? -280127348 What is next in -2960109, -2960111, -2960113? -2960115 What is next in -14853587, -29707166, -44560745, -59414324, -74267903, -89121482? -103975061 What is the next term in 647, 8465, 32273, 80891, 163139, 287837? 463805 What is next in -670, -1321, -2994, -6211, -11494, -19365, -30346, -44959? -63726 What is next in -251776, -2013421, -6794804, -16105795, -31456264? -54356081 What is nex
{ "pile_set_name": "DM Mathematics" }
divided by 56? 5 Let h = 5 + 3. Let k = -206 + 248. Calculate the remainder when -6 + k + -1 + 3 is divided by h. 6 Let h(n) = 2*n**2 + 127*n + 1451. What is the remainder when 540 is divided by h(-13)? 126 Let g = 99 + -9. Let x = 64926 - 64919. What is the remainder when g is divided by x? 6 Suppose -44*n - 51 = -3*p - 41*n, -n - 56 = -4*p. Calculate the remainder when 233 is divided by p. 12 Suppose -18*g + 2317 + 59 = 0. What is the remainder when g is divided by 41? 9 Suppose 6*k + 33 = c + 3*k, 2*c - 3*k - 69 = 0. Let f be (-4)/(4/(-493)) + 1 + 1. Let b = f - 352. What is the remainder when b is divided by c? 35 Suppose -7412*a = -7402*a - 7330. Calculate the remainder when a is divided by 87. 37 Let i(p) = -p**2 - 151*p + 3829. Let n(q) = q**3 - 8*q**2 - 2. Let v be n(8). Calculate the remainder when i(22) is divided by (-60)/(-9) + v/3. 5 Suppose -5*b + 8*b + 4*c = -34504, 0 = -3*c + 15. Calculate the remainder when (2*10/(-8))/(685/b) is divided by 4. 2 What is the remainder when (2 + 14/(-5))*((-2576)/16 - 29) is divided by 61? 30 Suppose 0*c + 76 = -2*c. Let p = c + 42. Suppose 0*o + 8 = -2*o, o = -p*n + 112. What is the remainder when 86 is divided by n? 28 Suppose 38*a - 65094 = -19*a. Calculate the remainder when a is divided by 571. 0 Suppose 94*b = 95*b + 9*k - 12, 3*b - 36 = 2*k. What is the remainder when 1500 is divided by b? 0 Let k = -542 + 545. Let x(f) = 12*f**2 + 2*f - 5. Calculate the remainder when x(k) is divided by 40. 29 Let f be -4*(1/(-2) + 0). Suppose 3*x = -0*x + 171. Calculate the remainder when x is divided by -1*f*(-46 + 31). 27 Suppose 0 = -12*g - 32111 + 32375. Suppose -r - j + 124 = 0, -3*r - 2*j + 392 = -4*j. Calculate the remainder when r is divided by g. 18 Let l = 2234 + -2229. What is the remainder when 34 is divided by l? 4 Suppose -8 = -4*y, c + 5*y + 532 = -c. Let t = c + 507. Calculate the remainder when (t/6)/((-2)/(-6)) is divided by 24. 22 Suppose -4*b = -5*k - 0*k - 57, 5*k = -b + 8. Suppose -b*g = -8*g - 360. Calculate the remainder when g is divided by 15. 12 Suppose -8*o + o = -42. Let h(c) = -c**3 + 8*c**2 - 5*c - 5. Let q be h(o). Suppose 43 - q = t. What is the remainder when 22 is divided by t? 4 Let d(c) = 2*c + 31. Let y be d(20). Suppose 0 = r + 25 - y. What is the remainder when r is divided by 25? 21 Suppose -6 = 2*s + y - 303, -5*y = s - 144. Calculate the remainder when 644 is divided by s. 48 Let j = 86 - 82. Suppose 223 = 4*p - r, -p + 0*r + 37 = -j*r. What is the remainder when p is divided by 23? 11 Suppose 3*u - 228 = -35*u. Suppose -4*v + y = -319, -5*y = -5*v + 109 + 286. Suppose -u*o + 7*o - v = 0. Calculate the remainder when o is divided by 9. 8 Let g(d) = -3*d**3 + d. Let q(m) = 16*m**3 - 73*m**2 - 42*m + 122. Let z(p) = 6*g(p) + q(p). What is the remainder when z(-36) is divided by 6? 2 Suppose 0 = 25*t - 0*t - 50. Calculate the remainder when 126 is divided by (-8)/t - (-296)/(4 - -4). 27 Suppose 17*w - 3493 - 3256 = 0. What is the remainder when w is divided by 27? 19 What is the remainder when 7 - ((-14240)/100 - (-6)/15) is divided by 28? 9 Suppose -5*b + 116 = -4*z, -21788*z + 21784*z = 4*b - 172. Let h(r) = r**3 + 2*r**2 - 4. Calculate the remainder when h(4) is divided by b. 28 Let p = -71 - -135. Let d = 29800 - 29778. What is the remainder when p is divided by d? 20 Let k = -724 + 745. Let n = 136 - 92. Calculate the remainder when n is divided by k. 2 Suppose -8*i + 663 + 73 = 0. What is the remainder when 166 is divided by i? 74 Suppose -52 = -7*a + 6*a. Let b = 17 - 18. What is the remainder when a is divided by (-3)/(b/3*1)? 7 Suppose -9164 = -75*w + 1578 - 1367. Calculate the remainder when w is divided by 18/4*(-168)/(-18). 41 Suppose 14*o - 959 - 413 = 0. Calculate the remainder when 7838 is divided by o. 96 Let g(j) = -113*j + 1780. What is the remainder when 783 is divided by g(14)? 189 Let c(v) = -9*v - 84. Let g be (6/4)/(-6 - (-660)/112). What is the remainder when 77 is divided by c(g)? 35 Let q be 2616/(-132) - ((-48)/(-22) - 2). Let b = q - -12. Let i(u) = -u**2 - 10*u - 6. Calculate the remainder when 25 is divided by i(b). 5 Let r be (-242)/33 + 8 + 823/3. Let z = r - 218. Calculate the remainder when z is divided by 22. 13 Let w = -39142 - -39364. Calculate the remainder when 3328 is divided by w. 220 Let f(p) = 36*p**2 - 2*p - 6. Let g be f(-3). Suppose -4*s + g = -0*s. Calculate the remainder when s is divided by 22. 15 Let i = 12450 + -12439. What is the remainder when 29819 is divided by i? 9 Let m(p) be the first derivative of 9*p**2 + 5*p - 233. Suppose 2*g = 12 - 4. What is the remainder when m(g) is divided by 13? 12 Suppose 4*q - 3*n - 1270 = 0, -4*n = 4*q - 2*n - 1280. Calculate the remainder when q is divided by 2/((-2)/(-2)) - 558/(-9). 63 Let z(w) = 5*w**3 - 10*w**2 + 47*w + 10. Calculate the remainder when z(11) is divided by 65. 57 Suppose 2*c + 2*k - 7 = -3*k, 3*c - 2*k - 58 = 0. Calculate the remainder when (-204)/51 - 344/(-2) is divided by c. 8 Let v(f) = -2*f**3 - 64*f**2 - 15*f - 210. Calculate the remainder when 1878 is divided by v(-32). 258 Calculate the remainder when (9/((-18)/(-1628)))/2 is divided by 10/25*((-25)/(-5) + 40). 11 Suppose 3*a - n - 2192 + 778 = 0, -2*n - 1886 = -4*a. What is the remainder when a is divided by 19? 15 Let o(l) = l + 126. Suppose 0*n = -5*n + 55. Calculate the remainder when o(-106) is divided by n. 9 Let g(l) = -l**3 - 2*l**2 + 261*l + 51. Calculate the remainder when g(-18) is divided by 274. 263 Suppose 73*k = -1795 + 2452. Let n = -2 + 2. Suppose 102 = -n*i + 2*i. What is the remainder when i is divided by k? 6 Let a = 10268 + -10213. What is the remainder when 112 is divided by a? 2 Let m = -1199 - -1609. What is the remainder when m is divided by 138? 134 Let g be 45/(-4 - 45/(-10)). Suppose 7*z = -2*z + g. What is the remainder when 14 is divided by z? 4 Let v(o) = 2*o**3 + 15*o**2 - 3*o - 4. Suppose 4*a = -0*g - 3*g - 37, g + 38 = -5*a. Let c = 256 - 239. What is the remainder when v(a) is divided by c? 15 Suppose -4*g + 32 + 56 = 0. Suppose 0 = -g*u + 6428 + 11722. Calculate the remainder when u is divided by 23. 20 Suppose 7*c + 90 = 4*c. Let w = -22 - c. Suppose -4*f = -2*k - w, -f + k = 2*f - 7. Calculate the remainder when 14 is divided by f. 2 Suppose -23*j + 204 = -6*j - 13*j. Calculate the remainder when 208 is divided by j. 4 Suppose -w + 5*w = 8. Suppose -r + w = -2, -4*r = s - 274. Suppose 2*o - s = -4*g, -3*g + 144 + 52 = o. What is the remainder when g is divided by 23? 21 Let a = 25 - 17. Let d(t) = -12*t + 171. Let h be d(14). Suppose 0 = -5*v + 5*i + 125, -3*v - h*i + 51 = -0*i. What is the remainder when v is divided by a? 5 Let d(c) = 6*c - 329. What is the remainder when 2247 is divided by d(59)? 22 Let j(g) = 54*g + 609. Calculate the remainder when j(0) is divided by 4. 1 Suppose 63*v = 9*v + 1566. Let l be (-1 - -3) + -2 + 35. Let c = l - v. What is the remainder when 9 is divided by c? 3 Suppose 1196 = 5*w + r, -r = -w - w + 477. Let d(v) = 30*v - 2510. What is the remainder when w is divided by d(85)? 39 Suppose -4*c + 2 = 2*d, 22 = c + 5*d - 1. Let o = 11 + c. What is the remainder when 53 is divided by o? 8 Suppose 0 = -42*y + 9132 + 15984. What is the remainder when y is divided by 20? 18 Let p(t) = -7*t**3 + t**2 - 3*t - 3. Let c be p(-1). What is the remainder when 141 is divided by c/2 + 1*36? 21 Let g = 146 - 139. Suppose 5*f = -g*f + 900. What is the remainder when f is divided by 19? 18 Suppose 0 = 4*r - 15 - 9. Let c(m) = -8*m - 26. Suppose -2*h - 2*f - 18 = -6*f, -3*h + 4*f = 23. Calculate the remainder when c(h) is divided by r. 2 Suppose w + 420 = g + 111, 0 = 3*g - 5*w - 929. Let z = g - 216. What is the remainder when z is divided by 39? 14 Let h(a) = -a**3 + 105*a**2 + 5*a - 267. What is the remainder when h(105) is divided by 19? 11 Let n = 67 - 59. Suppose 9*j = 5*j + 12. Calculate the remainder when (3/(-6))/(j/(-180)) is divided by n. 6 Let t(r) = -19*r - 72. What is the remainder when (-11)/(-2)*462/363 is divided by t(-4)? 3 Let x = 2856 + 430. Calculate the remainder when x is divided by 12. 10 Let b(p) = -p**3 - 8*p**2 + 2*p + 19. Let j be b(-8). Let l be 1/(-2) + j/(-6) + 1. Let s = l - -23. Calculate the remainder when 114
{ "pile_set_name": "DM Mathematics" }
ate 9 - (-74 + 41) - 14. 28 Evaluate 6 + 3 + -7 + -1 + -5 + 1. -3 Calculate (8 - 40) + (1 - -4) + 0 + 8. -19 Evaluate 9 - ((8 + -5 - 11) + 24). -7 Calculate 3 - -2 - ((10 - (-8 + 5)) + 7). -15 What is -26 + (9 - (-9 + 29))? -37 Evaluate 1 + 8 - (24 + (-17 - -4)). -2 Calculate -8 + -7 + 10 + 5. 0 What is the value of -8 - (-6 - 6) - (-8 + 3)? 9 34 + (-4 - 16) + -25 -11 Calculate -25 - (-8 + 5 + -19). -3 What is 15 + -15 + 12 - (-7 + 2 - -1)? 16 Calculate (4 - 4) + -7 - -4. -3 Calculate -439 + 447 - (0 + (1 - -2 - -2)). 3 Evaluate (-6 - ((5 - 0) + (3 - 2))) + -9. -21 What is (13 - 4) + -1 + (-14 - (-4 - 6))? 4 Calculate 5 + (0 + 17 + -16 - (0 + 0)). 6 Evaluate -1 + (3 - 3) - ((2 - 12) + 31). -22 Evaluate (8 + -4 - -4) + 6 + 1 + 5. 20 Evaluate -5 + 0 - (-17 - (-10 + 19 + -14)). 7 3092 + -3093 - (34 - (1 + -1)) -35 Calculate -1 + (3 - -11) - 12. 1 -8 - (-5 + (-3 - -7) - 5) - -1 -1 What is (-7 - (7 - 24) - 5) + (-2 - -5)? 8 What is the value of (26 - (12 - -6)) + (-3 - -1 - 23)? -17 (6 - (-2 - (5 - 3))) + -25 -15 Calculate -12 + (66 - 18) + -58. -22 What is -12 + 4 + -7 + 5 - (3 + -15)? 2 What is the value of 2 + (16 - 13 - -3) + -9? -1 What is 1 - 10 - ((29 + -14 - 15) + 5)? -14 Calculate 5 + -19 + (2 - -1). -11 What is the value of -4 - (-4 - (-9 - -7)) - (-1 + 1)? -2 (0 - (2 + (-8 - -16))) + 7 -3 What is -39 + -1 + (214 - 198)? -24 What is the value of (1 - -46) + -483 + 457? 21 What is the value of (-6 - -18) + (5 - 15) - 14? -12 Calculate 11 - (61 - 57 - (-12 - -1)). -4 2 + -21 + (68 - 58) -9 Calculate (0 - 5) + -1 + 10 + 0 + -18. -14 What is the value of 19 + (1 - -1) + (30 - 21) + -5? 25 What is -1 - -15 - (232 - 222) - (19 + 0)? -15 Evaluate 6 - (2 + 2) - (-1 - (-11 + 7)). -1 Calculate -7 - (-3 + (-3 - -2 - -6) + -2). -7 Calculate -48 + 49 + (4 - 1) + 3. 7 Evaluate (16 + -11 - 8 - 7) + 9. -1 What is 14 + -26 + (40 - -4) + -3 + -10? 19 What is (1 - (24 + -10)) + 4? -9 Calculate 32 - (-10 + (80 - 34)). -4 7 + -7 + 1 - (-2 - -10) -7 What is 11 - (-1 + (15 - 9)) - 33? -27 Evaluate 14 + (102 - 149 - (-11 + 0)). -22 Calculate (4 - 22) + 0 - (-31 + 30). -17 Evaluate (-13 - -28 - 1) + -1. 13 What is the value of -30 + 25 - -3 - 5? -7 2 + 10 + (15 - 21 - -10) 16 What is the value of (4 - 14 - 0) + 1 + 8? -1 What is -7 + 3 + 4 + -4 - 10? -14 -3 + 0 - (22 + (-11 - 5)) -9 -8 + 0 + (-7 - -12 - 8) + -6 -17 Evaluate 2 - ((3 - (-3 - -9)) + 22 + -7). -10 14 - (30 + (-20 - 9) + 16) -3 19 + -35 + (0 - -7 - 11) -20 What is the value of -1 + (1 - 9) + -12 + 15 + -26? -32 Calculate -1 - -6 - (-4 + 0 - 2). 11 What is 1 + (-2 + 0 + 10 - 28 - -9)? -10 Calculate 9 + -5 - (23 - 29). 10 Evaluate 24 + 9 + -62 + 33. 4 Evaluate (1 - 7) + (-2 - (2 - (9 - -1))). 0 Evaluate (4 - -5 - 9) + 6 - 29. -23 What is 10 + -12 + -2 + 2 + (2 - 6)? -6 Calculate (23 - -4) + (-7 - (-5 + 1 - -6)). 18 What is the value of -95 - -110 - (1 + (2 - -1) + -2)? 13 What is the value of -3 + 3 + (46 - 36) + 11? 21 -10 + (24 - (25 + -13)) - 17 -15 What is -30 + -3 + 4 - (8 + -15 + 3)? -25 -11 + -7 + 27 + -14 - (2 - 1) -6 26 + -21 - 17 - -12 0 Calculate -4 - (-13 + 14 + (8 - (-12 - -24))). -1 What is 13 + (-3 - -10) + -83 + 55? -8 What is the value of (-208 - -217) + -2 + -2 + -2? 3 -22 + 7 + -21 + 43 7 11 - -4 - -6 - 14 7 What is the value of (-108 - -65 - (0 + -4)) + 3 + 5? -31 10 + (-20 + 12 - 2 - -15) 15 What is the value of 4 + -5 + -4 - (-68 + 50)? 13 Calculate -1 + (-9 - -1) - (86 - 11 - 86). 2 What is 10 + -35 - (-26 - -11)? -10 Evaluate -34 + (31 - 13) + 29. 13 Evaluate (8 - 0) + -22 + 3 + 12. 1 -18 + 1 + (-36 - (-15 - 33)) -5 What is the value of 7 - 1 - ((-6 - -5) + -4 + 20)? -9 What is (15 - (-1 + 5)) + -10 + 11 + -7? 5 Evaluate (-30 - (7 + -2)) + 25. -10 3 + (-4 + 5 - 6) + -7 -9 Evaluate (3 - (-7 + 14 + -7)) + -5. -2 Calculate -6 - (1 - 1) - (22 + -38 - -17). -7 What is 7 - (-1 + 3 - (-1 - (-14 - -7)))? 11 What is (-50 - (0 + 16 - 18)) + (-5 - -13)? -40 Evaluate -2 - (-8 + 4 - -10). -8 What is (-1 - 6) + (16 - 6 - 4)? -1 Evaluate -11 - -23 - (3 - -6) - (-1 + 0). 4 What is (34 + -7 - -6) + (-6 - -1) - 9? 19 Calculate 11 + (-29 - -5) + 30. 17 Calculate -1 + -12 + 84 + -78. -7 What is -12 + (22 - (4 - -6))? 0 (-1 - -11 - 42) + (-1 - -4) + -4 -33 (-7 - -17) + -9 + (-7 - -3) -3 What is the value of -323 + 321 - (1 - 13)? 10 (-32 - -11) + (30 - 9) 0 Evaluate -24 + (-17 - -31) - -6. -4 Evaluate (-2 - (-16 + 10 - -3)) + -4. -3 Calculate 29 + (-11 + (6 - -9) - 1) + -6. 26 What is the value of 6 + 1 + -20 + 30? 17 What is -1 - -42 - (25 - 12)? 28 What is the value of 14 + 35 + -17 + -15? 17 Evaluate -997 + 1014 - (-1 + 0 + 9). 9 13 + 13 + -34 + -4 + -12 -24 Calculate (2 + 7 + -20 - -7) + (-5 - 1). -10 -9 - (-69 - -23 - -26) 11 (34 - 56) + -5 + 13 -14 Calculate 2 - -4 - (0 + (-3 + -3 - -4)). 8 What is -1 - -4 - (-3 + 0 - (-3 + -2))? 1 Calculate 3 - (6 + 19) - (-2 - 9). -11 Calculate 4 - (21 + (-4 - -5) - (-4 - -5)). -17 Calculate (514 - 507) + (0 - 4). 3 What is -4 + (0 - 2) + 11 + -1? 4 Evaluate -8 + (32 - 18 - -2) - -14. 22 (21 - 25) + 4 - (-1 + 3) -2 What is the value of 1528 + -1519 + -23 + 1? -13 (-6 + 9 - -3) + -5 + -9 + 8 0 What is -25 - (10 + -24 + -2)? -9 What is -2 - (5 - (-4 + 6 + -2))? -7 Calculate 5 + 6 + -3 + -3 + 15 + -7. 13 Calculate -6 - ((-6 + 10 + 16 - 7) + -4). -15 What is -290 + 264 - (-57 + -1)? 32 What is (7 - (6 + -3)) + (1 - (12 - 6))? -1 Evaluate (45 + -33 - 9) + (1 - -4). 8 Calculate (1 - 21 - (-61 - -51)) + -1. -11 What is the value of -28 + (-35 - (-38 - 6))? -19 Calculate (-3 - 23 - -32) + -1 + -10. -5 Evaluate 1 + -1 + (1 - 0) - 9. -8 What is 2 + 1 + (-26 - (-18 - 5))? 0 Calculate 14 + -35 + 5 - 11. -27 -16 + 2 + (11 - (10 + -1)) + -1 -13 What is the value of (-2 - -5 - -6) + -2 + -1? 6 -1 + -11 - (-28 + (8 - -43)) -35 Calculate -30 + 50 - (26 + 6). -12 What is the value of -30 - (-7 + 19 + -24 + -2)? -16 (14 - (32 - 18)) + -9 + -1 + 7 -3 What is the value of -80 + 34 + 38 - (-1 + -3)? -4 Evaluate 8 + (-9 - (-8 + 1 + -1) - -1). 8 Calculate (12 - (18 - 12) - (-1 + 21)) + 4. -10 Evaluate 9 + 14 + (-1 + 4 - 2 - 7). 17 Calculate (-3 - -3) + 5 + -4 + 6. 7 Calculate -8 + 1 - (7 + -19 + 5). 0 Evaluate -11 + -3 + (-87 - -97). -4 23 - (19 - -21) - (1 + -5) -13 Evaluate 9 - (1 - 0) - (-15 - -4). 19 Evaluate -46 + 0 + (16 - -11 - 15) - -12. -22 What is the value of -22 + 31 + -8 + -1? 0 -11 + (-10 - -17 - 9) + 30 17 What is the value of -11 + (5 - 4 - 20)? -30 Calculate 12 - (-14 - -47 - 8). -13 What is -10 + 65 + -28 + -19? 8 What is the value of (-1 - (13 - 7 - 12)) + 40 + -41? 4 Calculate -7 + 3 + -7 - (111 - 125). 3 What is (-39 - (5 + -13)) + 7 - (-5 - 0)? -19 Evaluate -1 - ((-14 - (-15 - -7)) + (1 - 0)). 4 What is 8 + -23 + -5 + 7 + 1? -12 What is 8 + (0 + (1 - (10 - 2)) - -10)? 11 Evaluate 7 - (-5 + -1 + (-24 - -51)). -14 What is -20 + (22 - (2 - -6))? -6 What is (6 - 21) + 8 + -14 + 9? -12 (4 - -4 - (23 + -12)) + -15 -18 Calculate 9 + -3 + 0 + (13 - 0 - 15). 4 Calculate (9 - (2 - -1)) + (-11 - -14) + 6. 15 Evaluate 8 - (-6 + (-2 - 11 - -11)). 16 13 + 7 + -7 + -28 -15 6 + -2 + -11 + (7 - 5) + 3 -2 Calculate -15 + 14 + 2 + 24. 25 What is (3 + (0 - -8) - 6) + -21? -16 (9 - 3) + -8 + 7 + -4 + 14 15 Calculate 20 - (6 + 8) - (-1 + (0 - 1)). 8 -68 + 45 - (-20 - 3) 0 Calculate -10 + 16 + -15 - -21. 12 What is (8 - 0) + (21 - 7) + -8 + 0? 14 Calculate 23 - (-7 + 1 - (12 - 23)). 18 What is the value of (92 - 98) + (-3 - (3 - 2)) + -1? -11 Calculate -9 - (3 - (8 + (-9 - -11) - -4)). 2 What is the value of (7 - (0 + 6)) + (-76 - -80)? 5 What is the value of 3037 - 3061 - (-11 - (1 + -1))? -13 Evaluate (22 + -16 - 24) + 24. 6 Evaluate 4 + 16 + (-1 - 28). -9 What is the value of -8 - (24 - 53 - (0 - 0) - -2)? 19 Calculate 18 + 1 + -26 + -10. -17 What is the value of -7 - -3 - -9 - 4 - 2 - -1? 0 Evaluate -9 + (5 - 9) + (-4 + 2 - 3). -18 Calculate -27 - ((-60 - -30) + 12). -9 (19 - (-15 + 7)) + -28 -1 Calculate -24 - (-4 + (11 - (26 - 12))). -17 Calculate -5 + (15 - 25 - -16) - (0 - 7). 8 5 - 0 - (19 - 22) 8 What is -5 + 0 + (19 - 25 - (1 + -4))? -8 What is -2 - ((-5 - (2 + -3)) + 11 - 12)? 3 Evaluate (-16 + -18 - -43) + (0 - -7). 16 Calculate -119 - -113 - ((15 - 1) + 4 + -2). -22 What is the value of -169 + 202 - (14 + 1)? 18 Evaluate (8 + -14 - (-1 + 0)) + (66 - 67). -6 Calcula
{ "pile_set_name": "DM Mathematics" }
lculate 4/((-1)/(1/(-4))). 1 (4/14)/((-6)/(-672)*8) 4 Evaluate (10*(-2)/(-45))/((-20)/(-6)). 2/15 Calculate 6/(-8)*(-4)/(-6). -1/2 What is (((-2)/1)/(10/(-20)))/(-6)? -2/3 Evaluate 5/(-1*((-48)/(-6))/(-8)). 5 What is the value of ((-4)/(-6))/(316/(-474))? -1 What is ((-8)/14)/(70/245)? -2 Calculate 0/(-5)*10/20. 0 What is the value of -8*(-3)/(-6)*(-1)/22? 2/11 What is (50/(-45))/((-8)/36)? 5 (-12)/(-9)*102/(-34) -4 Calculate (-20)/(-105)*(3*-1)/1. -4/7 (28/(-294))/(8/12) -1/7 Evaluate ((-2)/(-2))/(((-25)/(-5))/(-25)). -5 What is ((-8)/2)/4*2? -2 18/(-60)*55/66 -1/4 What is the value of (78/52)/(6/(-32))? -8 Calculate (15/((-135)/(-1)))/(1/3). 1/3 14/(-49)*1*-1 2/7 What is 8/(-18)*-1*(-1)/2? -2/9 What is -3*5/45*54/(-48)? 3/8 What is the value of 3*-6*(-18)/(-729)? -4/9 (1*(-2)/18)/((-8)/(-12)) -1/6 Evaluate (69/828)/(3/8). 2/9 What is (44/(-8))/11*4? -2 What is the value of (2*4/(-24))/(-1)*-9? -3 What is the value of (-3)/((44/(-11))/(-8))? -6 What is the value of 8/(-24)*1*-3? 1 Evaluate (2/4)/(16/(-32)). -1 Calculate ((-7)/21)/((-3)/(135/5)). 3 Evaluate ((-18)/8)/(2/4*-3). 3/2 1/10*195/(-156) -1/8 Calculate (12/18)/(16/(-6))*-2. 1/2 Calculate (2/(-1))/(8/8). -2 ((-3)/(18/12))/((-7)/(-1)) -2/7 ((-2)/3)/((1254/(-18))/(-11)) -2/19 Calculate ((20/4)/5)/4. 1/4 Calculate ((-3)/6)/(((-147)/28)/(-3)). -2/7 What is the value of ((-224)/(-3360))/(9/10)? 2/27 What is ((-2)/(-2))/((-46)/276)? -6 Calculate ((-4)/48)/(8/(-16)). 1/6 What is the value of (1/(-5)*1)/((-8)/(-10))? -1/4 Calculate ((-2)/((-2)/1))/(250/(-150)). -3/5 What is the value of (-2)/20*(-4)/2? 1/5 Calculate ((-6)/(-16)*4)/(1/1). 3/2 What is ((189/153)/(-7))/((-6)/4)? 2/17 (-1*3)/(15*(-48)/160) 2/3 What is 4/54*(-27)/18? -1/9 What is 2*2*128/(-256)? -2 What is the value of (8/(-4))/((-65)/(-5))? -2/13 8*((-10)/16)/(150/(-120)) 4 What is the value of (0/13)/((-2)/1)? 0 What is the value of ((-10)/4)/(-5)*2? 1 Evaluate (2/(38/(-3)))/((-252)/168). 2/19 Evaluate 1/((-2)/(-18))*(-2)/(-15). 6/5 Calculate (-15)/(-5)*(-4)/6. -2 Evaluate -5*12/90*-6. 4 What is (6/4)/(2*(-15)/12)? -3/5 20/35*(-7)/(-1) 4 What is the value of 5/1*(-1)/(7/(-7))? 5 What is 1*-1*78/26? -3 (18/30*10)/((-8)/4) -3 Evaluate (-2)/((-13)/(-273)*7). -6 Calculate 46/(-69)*(-6)/4. 1 What is the value of (3/(48/(-28)))/(2/8)? -7 (-5)/5*2*-4 8 Calculate (6/(-5))/(9*1/(-15)). 2 What is (-5*(-2)/4)/((-1)/2)? -5 What is the value of -1*(-4)/(-32)*-2*0? 0 What is the value of ((10/20)/((-2)/4))/3? -1/3 Evaluate (-1)/1*(4/(-2))/(-2). -1 What is ((-14)/(-4))/((-588)/(-168))? 1 (160/(-16))/((-10)/4) 4 What is the value of 3/(5*30/(-20))? -2/5 What is ((-55)/(-2200))/((-3)/(-36))? 3/10 What is (((-12)/9)/2)/((-4)/6)? 1 (3*(-2)/12)/((-9)/2) 1/9 Evaluate (42/(-105))/(2/(-5)). 1 Evaluate (-42)/(-28)*(-6)/(-63)*-6. -6/7 (((-90)/24)/(-5))/((-6)/24) -3 What is the value of ((-15)/100)/((-243)/135)? 1/12 Evaluate 1*(-1)/1*1. -1 Evaluate ((-42)/(-2240)*8)/(6/16). 2/5 Calculate ((-990)/275)/(9/(-15)). 6 What is -8*3/24*4? -4 What is the value of (28/(-21))/((-8)/18)? 3 What is the value of 9/3*2*(-1)/21? -2/7 (-465)/775*20/54 -2/9 What is the value of (4/30)/((-28)/160*-8)? 2/21 Calculate (24/(-36))/(10/3). -1/5 What is (-3*8/(-9))/(46/(-138))? -8 (9/51)/(-3)*2 -2/17 What is the value of 4/(-24)*-3*-2? -1 Evaluate -1*-6*5/(-180)*9. -3/2 Calculate (6/4)/(4*(-12)/(-128)). 4 What is the value of (3/((-18)/4))/(1/9)? -6 Calculate (-9)/(54/(-60))*(-6)/10. -6 Calculate (21/7)/9*9/(-3). -1 What is the value of -9*8/48*(-32)/6? 8 What is -3*(-3)/(9/(-1))*1? -1 What is the value of ((-4)/(-40)*2)/(2/2)? 1/5 Evaluate 130/(-208)*(-8)/30. 1/6 Evaluate -6*1*(-5)/(225/(-10)). -4/3 What is the value of (8/(-96)*-8)/(4/(-10))? -5/3 What is the value of ((135/(-10))/9)/(3/8)? -4 What is the value of -15*2/((-12)/(8/4))? 5 ((-4)/8)/(28/(-8)) 1/7 Evaluate 141/(-141)*12/2. -6 Calculate ((-4)/(-1))/((4/(-2))/1). -2 Evaluate 90/(-135)*6/14. -2/7 What is the value of (3*(-4)/(-36)*-6)/7? -2/7 What is ((-9)/(-12))/((-45)/24)? -2/5 Calculate 30/(-10)*-5*(-8)/420. -2/7 What is the value of (((-75)/6)/(-5))/((-2)/(-4))? 5 Evaluate (40/(-140))/((3/(-42))/1). 4 Calculate (-6)/99*6/(-2). 2/11 Evaluate (-4)/30*-5*(-6)/22. -2/11 Evaluate ((-1)/4)/(35/(-80)). 4/7 What is (-35)/5*27/(-63)? 3 Calculate (-13)/(130/40)*(-1)/2. 2 What is ((-1)/(1/2))/(-2)? 1 (-2)/(-1)*(-15)/6 -5 What is 3/45*-3*130/(-78)? 1/3 12*(14/2)/28 3 (0*3/(-15))/1 0 What is the value of 2/(((-42)/(-12))/7)? 4 What is (20/(-6))/(((-34)/3)/(-17))? -5 Evaluate (-1)/8*-4*-6. -3 ((-1)/6)/((-219)/438) 1/3 Evaluate -3*(80/6)/8. -5 Evaluate -3*(-2)/3*252/1176. 3/7 What is (3/(-2))/(30/(-80))? 4 What is (2/(-28))/(16/32)? -1/7 (4/18)/((-6)/(-6)) 2/9 What is (-40)/15*(-2)/(-40)? -2/15 What is the value of (2/(-36)*-3)/((-5)/10)? -1/3 What is 8/6*297/(-990)? -2/5 What is the value of ((-10)/120)/((-2)/(-4))? -1/6 What is the value of (32/12)/((-2)/(-3))? 4 Evaluate ((-9)/(-12))/((-9)/(-8)). 2/3 1*-5*(-5)/100 1/4 Evaluate (2/(-1))/(60/210). -7 (8/(-28))/((-6)/42) 2 (0/(-16))/((-1)/(-1)) 0 Evaluate (-20)/5*1/2. -2 Evaluate ((-3)/30)/((-90)/675). 3/4 Evaluate (((-45)/(-6))/5)/((-648)/96). -2/9 What is the value of (10/8)/(2/(-8))? -5 What is the value of ((-128)/(-448))/(2/(-14))? -2 Calculate 1*((-2)/(-6))/(10/(-30)). -1 What is the value of ((-10)/35)/((-2)/(-28))? -4 What is ((-12)/(-15))/((-7)/35)? -4 Calculate (2/(-14))/(144/(-168)). 1/6 What is the value of 24/16*3/(-9)? -1/2 (708/(-944))/(3/(-4)*-6) -1/6 What is the value of ((-28)/126)/(2/(-36))? 4 What is the value of ((-8)/(32/6))/(18/(-60))? 5 Evaluate -3*(-4)/(392/(-7))*-2. 3/7 What is (-54)/36*(-6)/(-3)*-2? 6 (2/(104/12))/1 3/13 (-20)/(-75)*10*6/72 2/9 What is the value of (3/(-3))/(13/(-26))? 2 Calculate 5*((-4)/(-6))/((-4)/(-6)). 5 Evaluate (-16)/(-8)*(-2)/(-18). 2/9 Calculate -3*15/(-12)*64/24. 10 Evaluate 1/(11*7/(-14)). -2/11 (-30)/48*-4*2 5 What is the value of (-3*3/9)/((-18)/(-4))? -2/9 (-3)/(-9)*18/45 2/15 What is (1*-6)/(4/(-6)*21)? 3/7 Calculate -4*((2/1)/2)/(-1). 4 What is 120/10*(-2)/(-6)? 4 Calculate (16/(-10))/((10/25)/(-1)). 4 What is the value of (-1)/2*(-30)/5? 3 Evaluate (((-32)/(-20))/(-2))/((-26)/5). 2/13 Calculate ((-7)/((-56)/(-20)))/((-2)/4). 5 Calculate 11/((-594)/12)*-6. 4/3 What is 10/4*12/10? 3 What is (-539)/66*(-6)/21*1? 7/3 Calculate ((-68)/51)/(4/(-9)). 3 What is the value of ((6/9)/(-1))/(-1)*3? 2 What is the value of (1*(-1)/(-7))/((-9)/18)? -2/7 What is ((-1)/(-3))/((-27)/(-81))? 1 What is the value of 2/(-2)*(-27)/(-45)? -3/5 What is the value of (1/(-8))/((-66)/(-88))? -1/6 Calculate ((-8)/(-10))/(-1*(-11)/(-55)). -4 ((-70)/(-105))/((-16)/6) -1/4 What is the value of 6*12/18*-1? -4 What is (522/(-2175))/(6/20)? -4/5 What is the value of (12/270)/(1/3)? 2/15 Calculate 12/10*3/(-6). -3/5 Calculate 2*6/9*(-33)/22. -2 -5*1*(-27)/(-54) -5/2 Evaluate (-2)/((-4)/((-96)/(-42))). 8/7 What is (3/2)/((-7)/(28/(-6)))? 1 (4/(-6))/((-14)/(-21)) -1 Calculate 40/(-320)*1*-1. 1/8 Calculate ((-98)/(-294))/((2/30)/1). 5 Calculate (-6)/(-12)*8/(-22). -2/11 (64/(-224))/((-2)/(-42)) -6 Evaluate ((-10)/50)/(4/100). -5 Calculate (3/(5/5))/(-1). -3 Evaluate 7*(2/28)/((-9)/108). -6 (1*-1*(-5)/(-10))/(-1) 1/2 What is the value of 2/(-6)*6/(-8)? 1/4 Calculate (-2)/(-7)*98/140. 1/5 What is ((-4)/(-12)*0)/3? 0 (2/2)/((196/(-42))/14) -3 What is 1/2*19/95*4? 2/5 Evaluate (2/9)/(28/(-42)). -1/3 What is (-14)/52*396/693? -2/13 -4*(-6)/32*1/3 1/4 What is the value of (-3)/((-18)/10)*150/625? 2/5 (-10)/(-7)*(-19)/((-95)/2) 4/7 What is the value of 10/((-40)/(-12))*6/(-63)? -2/7 Calculate ((-2)/(-4))/((-1)/(-2)*10). 1/10 What is ((-11)/11*1)/1? -1 Evaluate (-3)/((-18*(-7)/(-28))/6). 4 What is the value of 4/5*(-30)/132? -2/11 0/2*-4*11/(-176) 0 What is (-1)/(24/112)*(-9)/21? 2 What is the value of (9/(-18))/(2*2/(-32))? 4 5/1*6/(-180)*-66 11 (((-1134)/24)/(-7))/(21/28) 9 2/66*(-12)/4 -1/11 What is the value of 40/35*28/(-8)? -4 What is the value of 280/80*(-2)/14? -1/2 What is ((-36)/(-90))/(4/5)? 1/2 Calculate (-256)/(-192)*6/(-4). -2 ((315/7)/(-5)*-1)/(-1) -9 What is the value of (-1)/(2*9/(-9))? 1/2 (1/5)/(15/(-25)) -1/3 Calculate ((-6)/13)/((30/(-2))/(-15)). -6/13 Calculate 66/(-11)*(-1)/(-8). -3/4 (64/48)/(3/(18/(-20))) -2/5 2*24/(-64)*4 -3 (-44)/77
{ "pile_set_name": "DM Mathematics" }
What is the closest to 62/597 in 0.02, -4, 1/12? 1/12 Which is the nearest to 1/3? (a) 2/83 (b) -2 (c) -196 (d) 1 (e) 0.01 (f) -5 a Which is the closest to 1? (a) 49/2 (b) 1017 (c) 0 (d) 0.06 (e) -3 (f) 4/3 f Which is the nearest to -1? (a) 70 (b) -3557 (c) -16 c Which is the closest to 2/9? (a) -1.69 (b) -0.7 (c) 1 (d) -4 (e) -1 c What is the nearest to -6/7 in -0.5, -2025, 1/4, 0? -0.5 Which is the closest to -0.1? (a) 2 (b) -25.1 (c) -1/7 (d) 0.3 (e) 11000 c Which is the nearest to 3/5? (a) 5 (b) -1/3 (c) 3911394 (d) 0.2 (e) -6 d Which is the closest to -2/3? (a) -1 (b) -2342043 (c) 128 a What is the nearest to -1/2 in -3, -8979, 10/33? 10/33 What is the nearest to -1 in 0, -0.5, -150, 7/5, -5? -0.5 Which is the nearest to -2.2? (a) 6544/3 (b) 0.2 (c) -0.4 (d) 4/5 c What is the nearest to 0.106 in -0.13, 13, -5, -2? -0.13 What is the nearest to 0.3 in -3, 1452, -6, 2, 32/5? 2 What is the nearest to -2 in -28, 1, 14.2, 68/9? 1 Which is the closest to -8? (a) 1/3 (b) 52 (c) 3.5 (d) -379 a What is the nearest to -5.9 in 465, 2/21, 1, -0.3? -0.3 What is the nearest to 3/7 in -2, 2/5, -0.366, 1667? 2/5 What is the closest to -9 in -1/7, 2, 3226, 1/3? -1/7 What is the closest to 3/7 in -11, -3, 11932, -4.2? -3 What is the closest to 70252 in -1, 47, -2/3, 4, -1/6? 47 Which is the closest to 0? (a) -1/4 (b) -18 (c) 0.55 (d) -2/7 (e) -0.5 a What is the closest to 0.1 in -0.3, -4/7, 14, -9/10, 963? -0.3 Which is the closest to -1/4? (a) 395.3 (b) 0.4 (c) 0 (d) -384 (e) 3/5 c Which is the closest to 68/7? (a) 6/5 (b) 982 (c) 0 a What is the closest to -2.7 in 0.2991, 3, 5, -11, -3/7? -3/7 Which is the closest to 1/4? (a) 1.3 (b) 6541 (c) -0.4 (d) 2/3 (e) 0 e Which is the nearest to -2? (a) 2 (b) 0.131 (c) 0.1 (d) 7/5 (e) -2.4 (f) 0.2 e What is the nearest to -7 in -23, 389, 5, 1, -4? -4 What is the closest to -10 in 3, -2, -1248, -1/4, 176? -2 What is the nearest to -55 in 1/10, 2/5, -0.181? -0.181 Which is the closest to 10? (a) -1 (b) 12/11 (c) 8278 (d) 0 b Which is the closest to 3/7? (a) -1086 (b) 4 (c) -2/7 (d) -763 c Which is the nearest to 7/9? (a) -0.2 (b) 102 (c) 571 a What is the closest to 0 in 1/5, 9, -5, -303? 1/5 What is the nearest to 4.6 in -1, -6/49, 9, 4/5, -5? 4/5 Which is the closest to 11/4? (a) 51 (b) 48 (c) -0.99 c What is the closest to 0.1 in 0.975, 2/9, -0.63, 3, 12/5? 2/9 What is the closest to -1 in -30, 21.4554, -2/19? -2/19 What is the nearest to 9/5 in 4/3, -0.3, 12/11, 0.5, 0.4, 7/19? 4/3 What is the nearest to -2 in 0.1, -3/193, -1/16, 5/3? -1/16 What is the closest to 0.1 in 0.4, 0.2, -1/16, 2, -7450? 0.2 What is the closest to -0.059 in 30, -13137, -6? -6 Which is the nearest to 4/3? (a) -0.1 (b) -0.0977 (c) -0.6 (d) 0.2 (e) 2/7 e Which is the closest to 5? (a) 0 (b) -4400 (c) 3 (d) 4 d What is the closest to -87.23 in 0.03, 28, 4? 0.03 What is the nearest to 3.892 in 2, -201, 0? 2 Which is the nearest to -2/3? (a) 3 (b) -1 (c) 2165869 (d) -3 (e) 0.3 b Which is the nearest to 358? (a) 1 (b) -1 (c) -0.1 (d) -2/27 (e) 1/6 a What is the closest to 98 in -5/2, -7.9, 37/7? 37/7 Which is the nearest to 1316642? (a) 0 (b) 2 (c) -5 b Which is the nearest to -1/2? (a) -238 (b) 4 (c) 0.18 (d) 82 c What is the nearest to -0.1 in -201/8, -62.2, -1/4? -1/4 Which is the nearest to -69? (a) 4 (b) 2/135 (c) -1/1827 (d) -9 d What is the closest to -1 in -3, 1/9, 0, -2/463, -170? -2/463 Which is the nearest to 2? (a) 5 (b) 0 (c) -2/531 (d) 1 (e) -9 d What is the closest to 1/14 in 2, 6.4, 1.03? 1.03 What is the nearest to -0.33 in 0.5, 4/603, 6? 4/603 What is the nearest to -18/43 in -5, -17/5, 3/10? 3/10 What is the nearest to 1/3 in 0.6383, -0.4, 122, -0.6? 0.6383 What is the nearest to -6 in 14, -0.3, -2/21, -33, -4? -4 Which is the nearest to -0.2? (a) 0.06 (b) -175 (c) -1 (d) -5 (e) -134 a Which is the closest to -2/975? (a) -47 (b) -1/3 (c) 3 (d) 2 (e) -8 b Which is the closest to -32? (a) -618/11 (b) -3/35 (c) -2 a What is the nearest to -47 in 1, 0.5, 338, 0.2, -0.2? -0.2 Which is the closest to 5? (a) 4/23 (b) 6 (c) -318 b What is the closest to 3 in -1/13, 129.872, -4? -1/13 Which is the closest to -727? (a) -8 (b) -1/9 (c) 0.7 (d) 0.4 (e) 0 a Which is the nearest to -0.14? (a) -5 (b) -1 (c) 55/73 (d) 84 b Which is the nearest to 0.3? (a) 6/5 (b) 0.5 (c) 0.6 (d) 203 (e) -3/10 b What is the nearest to 34992 in -0.19, -3, 11? 11 Which is the closest to -10? (a) 6 (b) 1/11 (c) -152817 (d) 0.5 b Which is the closest to -1/6? (a) -1/14 (b) 0.1097 (c) -2/3 (d) 4 (e) -2/11 (f) -679 e What is the nearest to 2/7 in -5/4, -1/370, 0.23, -2/13? 0.23 What is the closest to -2839 in -0.2, 10, 0.5, -1/2? -1/2 Which is the nearest to 11? (a) -0.16 (b) -3 (c) -19211 a What is the nearest to 2 in -87, -1, -3/8, -0.5, 1/6, -1/17? 1/6 What is the closest to -0.11036 in 9, -0.2, 0, -0.5? -0.2 What is the nearest to 68 in -25, 1, -2, 3, -3/38? 3 What is the closest to 0 in 0.15763, 2/35, -1, 1/3? 2/35 What is the nearest to -1 in 25.4, -1, -2, 0.1, 0.81, -1/2? -1 Which is the closest to 1? (a) -0.098 (b) 0 (c) -1282 (d) -2 b What is the closest to 0.1 in -3, -7, -2, 2/9, -0.01? -0.01 Which is the closest to 54? (a) -0.4 (b) 3941/5 (c) -5/2 a What is the nearest to -2/5 in -1/5, 0.1, 2, 57, 518? -1/5 What is the closest to 0.1 in 24186, 2/9, -4, -0.05, 3/2, -0.4? 2/9 Which is the closest to 31? (a) 45 (b) 7/9 (c) 6 (d) 0.9 a What is the closest to -2 in 0.0734, -5, 50/119? 0.0734 Which is the nearest to 0? (a) -2 (b) -11/58 (c) 0 (d) -35.5 (e) 1/4 c What is the closest to -2/3 in 3, -106.13, -21/55? -21/55 Which is the nearest to 36/17? (a) -8 (b) 19 (c) 7.3 c Which is the nearest to 7? (a) -0.587 (b) -0.9 (c) -224 (d) 2/13 d Which is the closest to 2/9? (a) -0.2 (b) -3 (c) 3 (d) 26 (e) -119/29 a What is the nearest to -7.9 in 1/3, 0.4, -46, -908/7? 1/3 Which is the closest to -6/17? (a) 0 (b) 1/5723 (c) -224 a Which is the closest to 39? (a) 1/2 (b) 6 (c) 4 (d) -124 (e) -0.2 b What is the nearest to -0.3 in 3, 0.0214, 2/11, -17, -1/3, -1? -1/3 Which is the closest to -14? (a) -2/5 (b) -18 (c) -3/182 (d) 0.3 (e) 1/4 b Which is the nearest to -1? (a) -97 (b) -0.1 (c) 849 (d) 0 b What is the nearest to 0 in 68, -0.01, -0.141? -0.01 Which is the nearest to 0? (a) 19 (b) -4 (c) -20.4381 (d) -0.3 d Which is the nearest to 1? (a) 1/3 (b) -2 (c) 3 (d) 7/15 (e) 53/6 d What is the closest to -1 in 8, 2/161, 675, -0.1? -0.1 Which is the nearest to -0.173? (a) 2 (b) 225 (c) 3.2 a Which is the closest to -2? (a) -0.2 (b) -38 (c) -36 (d) -4 a Which is the closest to 1/3? (a) -8/3 (b) 3 (c) 0 (d) 2 (e) 8.04 (f) 0.3 f Which is the closest to 0.1? (a) 4 (b) -12 (c) 188 (d) 0.23 (e) -4/23 d What is the nearest to 0.06564 in 7, 11/7, -0.1? -0.1 Which is the closest to -13? (a) 1/4 (b) 1/31 (c) -5 (d) 3 (e) -13 e Which is the closest to -1.97? (a) 2/3 (b) 27/5 (c) -15 (d) -2/7 (e) 2/7 d Which is the nearest to 0.113? (a) 2/5 (b) 58 (c) -0.5 (d) -0.6 (e) 54 (f) -0.2 a What is the closest to 2/942807 in -0.5, -5, 2/17? 2/17 What is the closest to -6 in 8.4, 1/21, 2/3, -0.2? -0.2 What is the nearest to 0.06 in 1/2, -0.66, 3/17, -1, -2/21? 3/17 What is the nearest to 5 in 2, -0.16, 135, -2/7, -9/4, -1? 2 What is the nearest to -0.2 in 1, 0.323, -56019, 0.3? 0.3 What is the closest to -5.6 in 2, 0.1, -2.2, -0.53, 47? -2.2 What is the nearest to 40424/11 in -5, 2/19, -2/15? 2/19 Which is the closest to 0.1? (a) 14/1249 (b) -3 (c) 3/4 (d) -5/3 (e) 1 (f) 5 a Which is the closest to -2? (a) -4/5 (b) 1.3 (c) -56721 (d) -1 d What is the nearest to 0 in 0.5, -168, -80, -300? 0.5 What is the nearest to 871.408 in -0.3, 4, 5, -3? 5 Which is the nearest to 1/3? (a) -0.24 (b) 205 (c) -3 (d) -106 (e) -2/3 a What is the nearest to -0.011 in 3/11, 1/2, 3/92, 4? 3/92 What is the closest to -14 in 1.2, -5, 0, -2/15, 656/7? -5 What is the closest to -0.1 in 75, 0.3, 0.04, 13/17? 0.04 Which is the nearest to 145? (a) 1/14 (b) 2/11 (c) 0.01 (d) -2/5 (e) -106 b What is the closest to 0 in 2, 0, 5.1, -1/4, -90/7? 0 Which is t
{ "pile_set_name": "DM Mathematics" }
(312/(-143) - -4)/(8/132). 30 What is the value of ((-45942)/(-2356) + 3*-8)/((-1)/(14/6))? 21/2 What is the value of (-1653)/29 + (2 - (-9 - -3))? -49 (135 - 8480/64) + (-1)/(-2) 3 Evaluate 59 + (-6064)/96 - 3/(-6)*3. -8/3 Calculate (454890/(-14337) - -32)/(3/27). 22/9 What is ((-18)/(-8))/(18018/(-910)*10/(-48))? 6/11 -34 + -27 + 40 + (13 - -2) -6 What is (2/(-8) + 37024/1664)*-4? -88 Evaluate 9/6*(10/(-1 - 0) - 39960/(-8100)). -38/5 What is ((-192)/(-14))/(-3)*2674/764? -16 2*(111 - 77 - 22) 24 What is the value of ((-220)/264)/((-50)/18 + 0)*(-32)/336? -1/35 Evaluate (120744/(-1287) + 94)*11*1/7. 2/7 What is the value of 10*(12 + 2 + 779/(-95))? 58 Evaluate ((-7482)/(-609))/86 - (-10)/(-119). 1/17 Evaluate (-2 - (-6290)/(-136)) + 25 + (-60)/16. -27 What is the value of ((-201)/(-13) - (-3179 + 3212))/(2/13)? -114 What is (10/6 - (-1793)/(-1056))/((-1475)/4425)? 3/32 ((-32844)/(-184))/119*2/18 1/6 Evaluate ((-21)/(-35))/(12 + -9) + 12*(-36)/(-40). 11 Evaluate 16/(16/16) + (-1812)/114. 2/19 What is the value of -9150 + 9103 - 419/(-9)? -4/9 Evaluate -3 - (-195)/(-18) - (-4 + 3) - 3045/18270. -13 Calculate 8/(-6)*(-3015)/(-804) + (-1)/(2/276). -143 ((-2673)/(-378) - (-3)/7)*5/(90/(-12)) -5 Calculate -4 + (36/6 - 19) + 40. 23 What is (-2924)/(-3740) - (1 - -7 - 1/((-264)/(-2064)))? 3/5 What is 1418/(-36868)*(-2 + 10 + 2)? -5/13 What is the value of (-101120)/(-1536) - 65 - ((-571)/6 + 0)? 96 Calculate 155/465*6*-3*(-8)/252. 4/21 ((-1974)/(-56) - 39) + (-405)/(-120) -3/8 Calculate 86306/(-19615) - 9/(-2). 1/10 Evaluate 405/31 + (-130)/(-6)*(-4209)/7015. 2/31 Evaluate 434/18 + (25/(-3675)*42)/((-27)/(-105)). 23 (10/(-6))/((-7316)/177 - -49) -5/23 ((-3)/6)/(151/(-10570)) + -22 13 Calculate ((-10)/39)/((-4 + (0 - 0))*7417/178008). 20/13 Calculate -14 + 153118/10640 - 108/342. 3/40 Calculate -1*(52/24 - 6) - (-3)/(90/5). 4 What is the value of -3*((-130)/(-6))/(40/(-696)*-29)? -39 16/(-1552) + (-2 - 4508/(-2231)) 1/97 Evaluate 7/(-6) + (157/(388099290/2751917) - 1/(-17)). 1/185 Evaluate ((-22372)/(-39151))/(2/(-14)). -4 3/3*1*(-85)/(3910/(-644)) 14 Evaluate (378/35)/((-42)/(-35)*7/(-21)). -27 Calculate 480/320*6/5*(1 + 14). 27 Evaluate (-6027)/273 + -9 + 168/(-182). -32 What is the value of 16 + -12 - ((-24)/(-3) - 26)? 22 Calculate -237*(556/96 - 6) - (650/80)/(-13). 50 Calculate (1 - 12) + (24/10)/((-35)/((-11025)/(-84))). -20 Calculate 4/(-44) - -403*(-20)/5720. -3/2 What is the value of (-23)/((-37260)/(-24264)) + 15? 1/45 10283/364 + -28 - 19/84 1/42 Evaluate (-58)/(-1421) - (46176/588)/13 - 36. -42 Evaluate 108 + (-3768)/(-480)*-20. -49 (-826)/(-22420)*(-12)/(-21) 2/95 What is the value of (24 - 29963/1245)/(11/(-792))? 24/5 (-40)/44 - 241865/3355 -73 Calculate (2 - (-129)/18) + (-2322 - -2311). -11/6 What is (-244)/(-305) + (12 - 3) + (45056/40)/22? 61 What is 83 + (70 - 149) - -59? 63 Evaluate (-2632)/(-52) - (-48)/(-78). 50 (-186)/(-3) + (-5203800)/83839 -2/29 What is the value of 16/296 + (-5 - ((-7833)/888 - -3))? 7/8 What is (-8 - -5 - -40)*9*(-5)/45*-1? 37 What is the value of 228/(-90)*120/84*(-140)/240*9? 19 Evaluate (27/396)/(18/(-4)*-34*(-3)/918). -3/22 Evaluate 25*(-1)/(-120)*40/(-10). -5/6 Calculate 504/(-585) - 84/(-630)*3. -6/13 What is 1/4*((-5)/(-6) - (-9)/18)? 1/3 (-1890)/756*(4*32/(-90))/((-4)/(-2)) 16/9 Evaluate (-4)/(-14)*6648/(-120) - -16. 6/35 Calculate 178/65 - (-38 - 23216/(-624) - 1/(-3)). 16/5 What is (61 - 1287/21)/(6867/1372 + -5)? -56 Calculate (28/700)/((12/(-18))/(32/24)). -2/25 What is the value of 2891/14455 - (-103)/(-465)? -2/93 (-21 + (-4515)/(-60))*36/63 31 (1*-8)/((-2800)/(-56) - 48) -4 What is the value of (51 - 1) + 28982/(-674)? 7 (-42)/1449*((-63)/14)/(20/10 - 3) -3/23 (-8)/(77/(4620/(-5440))) 3/34 (-8)/60*414 + ((-9)/15 - 17/85) -56 Evaluate (-1 + (-89)/(-2))*11311/(-67866). -29/4 What is the value of 42 + (170*(-42)/420)/(-1)? 59 What is the value of (56 + -69)*(-4)/130*620/8? 31 What is the value of (896/1232)/(3/132) - 17? 15 Calculate (92/(-10) - -1*(113 - 141))*(-5)/(-2). -93 (-66)/(-4)*(-59190)/(-195327) 5 What is 488/(-40) - 2396/2995? -13 Evaluate (248/310 - (-184)/20) + 85 + -7. 88 What is 8742/(-310)*(175/(-21))/5? 47 Calculate -114*351/(-156)*18/(-45) - (-4)/(-10). -103 (115/(-5) + -7)*511/(-730) 21 What is (-40)/18*3228291/163045? -44 ((-5)/(-25)*28)/(3132/(-7830)) -14 What is 7107/2884 - ((-4)/(-24) - (-63)/108)? 12/7 What is the value of 728/448*(-1288)/(-1196)? 7/4 Evaluate (272/17 + -18)/(-5 + 702/138). -23 Calculate -110*(13 + 3024/(-240)). -44 What is 0 + 780/21 - ((-10)/(-14) - (-561)/(-357))? 38 Evaluate 26 - 30 - ((-16884)/(-606))/(-7). -2/101 What is ((-450)/(-600))/(6/64)*(-9 - 6188/(-688))? -2/43 Evaluate 0/3 - -46 - (36/54)/((-24)/(-252)). 39 What is 1188/(-34) - 139/21267*9? -35 Calculate ((-45)/(-21))/((-1110)/18130). -35 What is 25155/(-465) + (-31 - -85)? -3/31 Evaluate (818/(-6135))/(2*(-1)/(-53)) - (-20)/6. -1/5 (((-10)/36)/((-982)/2946))/(0 + (-8)/18) -15/8 What is (-41 - -20) + -332*(-35)/140? 62 Evaluate (-552)/(-736)*(((-215)/(-55) - 6) + 4/2). -3/44 16 + ((-68)/17 + 26 - 80) -42 What is the value of (-4*(-14)/(-84))/2? -1/3 What is the value of 2/31 + (-28898625)/234825? -123 Evaluate 4 - (2/(-3) - 1365/126). 31/2 Calculate ((-240)/(-20) - (-474)/(-90)) + 4/((-20)/35). -4/15 Evaluate 270/12*(51 + (-2168)/40). -72 Calculate (2595/692)/(6/(-32)) + -85. -105 Calculate -24 - 3*114/54*-3. -5 What is (-1208)/(-302)*((-2)/12)/(2107/(-147))? 2/43 Evaluate -2 - -12 - (15770/700 - 775/62). -1/35 486/39*(-187616)/21648 -108 (5 - 7)/((-217)/(-868)) -8 What is (-36)/756*-15 + 38/140 + 1 + -2? -1/70 Evaluate 27 - 1910*12/680 - -8. 22/17 What is (4/(-24) - 0)/(85 + 24 + -106)? -1/18 What is 174/(-1305) + 5 + (6 - 6/(-45)) - -38? 49 ((-826)/(-98) - 9)*(22 - 78330/3556) 2/127 Calculate (-660)/(-825)*(-40)/(-928). 1/29 ((-4)/2 - 21) + (63 - 72) -32 What is the value of (-285447)/1737*(-2)/17 + -22? -8/3 What is the value of (-6 + 5)*(-78)/975 + (-84)/800? -1/40 Calculate ((-75)/(-60))/(((-7)/14)/((-7)/(-14))). -5/4 Evaluate (22 - 8) + -11 + -2 + -6 + 270/(-6). -50 -7 + 73/(1752/(-1008)) -49 Evaluate -146 + 284250/1950 - ((-1150)/(-13))/(-2). 44 What is the value of 19 + -6 - (1316/(-30) - (-590)/(-4425))? 57 Evaluate 189/(13 + -4) - (8/11 - 441/77). 26 (-5992)/260652 + (-734)/5916 -5/34 Evaluate (-20)/(-15) - 2736/(-216). 14 What is the value of 525/9 + (-32)/(-3)*46*(-22)/(-4048)? 61 Evaluate (-8 - -26)/2 - 14*260/70. -43 What is the value of (-1709)/(-29) - ((-1018290)/(-5278) - 193)? 59 Evaluate ((-37)/(87024/(-504)))/((-11)/8 + 1). -4/7 What is (560/(-24) + 10)*144*(-4)/(-80)? -96 What is 945/162*((-4056)/(-273) - (-1 - -16))? -5/6 Calculate ((-98610)/22490)/(18/(-52)). 38/3 Evaluate 18 + (1*18 - (84 + -99)). 51 Evaluate (0/(-9) - -10) + (-23)/23. 9 What is the value of 2*(-3)/24 - 75341/6412? -12 Calculate (-2084115)/(-122485) + (-4)/262. 17 Evaluate 90/(-81) - (-480)/(-54) - 32/(-3). 2/3 Evaluate (((-876)/365)/(-3))/((-16)/(-460)). 23 What is 4 + (55/(-66) + (-24191)/(-2754))*(-2)/4? 2/81 Evaluate 2960/(-35) + (-30770)/(-362). 3/7 What is (-1070)/(-30) - 12 - 24/(-18)? 25 Calculate (-921)/7 - ((-112)/7 - 28750/(-1750)). -132 Calculate -2 + (-912)/57*1/(-3). 10/3 Evaluate ((1183/65 + -20)*20)/((-3)/2). 24 246/328 + 189/14 + -4 41/4 ((2/(-3))/((-12)/(-9)))/((-1918)/88228) 23 Evaluate (-5069)/(-45288) + 78/5967. 1/8 (-3 + 9 + -7)*9/18*60 -30 1 + -8 + (-2)/8 + (-43)/((-2236)/(-1027)) -27 616/308*(1 + 316/(-72)) - (0 + -7) 2/9 Evaluate (-56)/12*14/(2100/1525) + 12/27. -47 Calculate (12/(-20) + 329/(-10) + 33)/((-2)/156). 39 Calculate (725/(-200) + 4 + (-5401)/88)*(-2 - -3). -61 What is (-26)/78 - 1127/21 - -26? -28 Calculate (-36)/(-2268)*-1001 - (2 - 19). 10/9 What is 2405/41847*12/10*1? 2/29 What is (-42)/1701 - 10268/(-8262)*66? 82 What is the value of 40/48*(-1233)/(-137)? 15/2 (27/(-12))/(387/(-86)) - 252/(-8) 32 What is -1*(8 - 0 - (-16 - (4935/(-357) - 10)))? -3/17 Calculate (24/24)/(2 - (-534)/(-260) - 370/(-2405)). 10 Calculate (-104 - -27 - 107912/(-1400))/((-17)/5). -2/85 What is the value of (-4)/20 + (-240)/(-7100)*44/8? -1/71 Evaluate (-3186)/(-342) + -3 + 0/1 + -6. 6/19 ((-49)/(6683 - -79))/(5/(-120)*3*1) 4/69 What is the value of 2867/141 - (-7446)/153? 69 (-1
{ "pile_set_name": "DM Mathematics" }
uppose z*w - 8*w = -480. What is the tens digit of w? 9 Let o(f) = -13*f - 15. Let a be (3 - 0)*(13/(-3) + 1). What is the units digit of o(a)? 5 Suppose 5*h - 75 = 2*h. Let w = h - -39. Suppose -5*c = -c - w. What is the tens digit of c? 1 What is the units digit of 0 + -4 + (-4104)/(-8) + -9? 0 Let n = 6 - 8. Let y(q) = 0*q**3 + q**2 - 7*q**2 + q + 3*q**3 - 4*q**3 + 1 + 5*q**2. What is the units digit of y(n)? 3 Suppose 3*s = -p + 541, s - 4*p = -9*p + 171. What is the units digit of s? 1 Suppose 4*g - 36 - 12 = 0. Let t = -39 + 65. Suppose -g = -a + t. What is the tens digit of a? 3 Let c be 18/(-63) + (-65)/(-7). Suppose 3*d = 2*d + 2. Suppose 0 = z - c + d. What is the units digit of z? 7 Let i(q) = 6*q - 32. Let f be i(15). What is the units digit of -3 + (-1 - 0) + f? 4 Let i(n) = -190*n + 34. What is the units digit of i(-8)? 4 Let t(b) be the first derivative of -b**4/4 + 19*b**3/3 - 7*b**2 + 16*b + 27. What is the units digit of t(18)? 8 Let z = 10650 + -5694. What is the units digit of z? 6 Suppose -3*l + 2*c + 288 = -0*l, -l + c = -97. Suppose -l = -7*v + 424. What is the units digit of v? 4 Suppose -3*v + 574 = j + 30, v - 1608 = -3*j. What is the units digit of j/10 + (-2)/(-4)? 4 Let y(t) = 60*t + 255. What is the tens digit of y(8)? 3 Let r(y) = -141*y**3 - y**2 + 10*y + 24. What is the units digit of r(-3)? 2 What is the hundreds digit of ((-6)/(-5)*3)/(31/4805)? 5 Let r(p) be the first derivative of 3*p**3 - 25*p**2/2 - 6*p + 16. What is the hundreds digit of r(6)? 1 Let a(i) = -773*i - 160. What is the hundreds digit of a(-6)? 4 Let m = 7 + -3. Let p be 1/(-1)*(1 - m). Suppose 0*b - 2 = -2*b + 4*l, p = 3*b + 5*l. What is the units digit of b? 1 Let z = -847 - -1449. What is the tens digit of z? 0 Suppose o + 4*t - 165 = 346, 5*o = -t + 2631. What is the units digit of o? 7 Suppose -f - 13 = -b - 0*f, 3*f = -5*b + 41. Let l be 326/(-9) - -6*12/324. What is the tens digit of l/(-4)*b/3? 3 Let y(s) = -2 - 6 + 4*s**2 + s + 9 - 2*s. Suppose 3*u = -2*u + 10. What is the tens digit of y(u)? 1 Suppose -4*c = 5*s + 46 - 66, 4*c - 12 = -4*s. What is the units digit of s? 8 Let n(f) = 9*f**2 - 2*f + 3. Let s be n(1). Suppose s*j - 1906 = 1094. What is the units digit of j? 0 Suppose -4*g + 10542 = -3*r, 2*g - 5043 - 235 = 5*r. What is the hundreds digit of g? 6 Let f = -226 + 1542. What is the tens digit of f? 1 Let a(d) = d**3 + 5*d**2 - 2*d - 7. Suppose -7 = 4*b + 13. Let c be a(b). Let u(t) = 12*t + 5. What is the units digit of u(c)? 1 Let j(v) = -6*v + 288. What is the units digit of j(0)? 8 Let d be (-2 - 8) + 4 - 3. Let r = 3 + d. Let z(s) = -s**3 - 3*s**2 + 4*s - 5. What is the units digit of z(r)? 9 Suppose -109 + 337 = 3*d. What is the units digit of d? 6 Let t = 488 - -73. What is the tens digit of t? 6 Let h = -1753 + 2117. What is the tens digit of h? 6 Suppose -3*g + 30 + 6 = 0. Suppose -g = m - 4*m. Suppose -i = -m*i + 18. What is the units digit of i? 6 Let v be (5/(-3) + 2)*(-6 - -3). What is the tens digit of (v - 2) + (-10)/(-2) + 92? 9 Let i(m) = m + 4. Let z be i(-9). Let h(r) = r**2 + 3*r - 3. Let c be h(z). Suppose -c = -d + 25. What is the tens digit of d? 3 Suppose -9*p = -5*p. Suppose 0*k - 5*k + 64 = y, y - 3*k - 72 = p. What is the tens digit of y? 6 Let t = 1570 - -74. What is the tens digit of t? 4 Suppose -3*m = -4*n + 6, m + 4*n - 20 = -3*m. Suppose -3*w - v = 22, -10 + m = -2*w + 5*v. What is the units digit of ((-6)/(-4))/((-1)/w)? 9 Suppose 5*s - 432 = -s. Suppose 48 = 2*y - 4*z - 0*z, -4*z - s = -3*y. What is the tens digit of y? 2 Suppose 44*c = 42*c + 100. What is the tens digit of c? 5 What is the tens digit of 2263786/582 + (-1)/((-6)/(-4))? 8 Suppose 2*l - 394 = x, 3*l + 988 = 8*l - 4*x. What is the units digit of l? 6 Suppose -7*u - 12342 = -29*u. What is the hundreds digit of u? 5 What is the hundreds digit of ((-10045)/(-100) - (-4)/(-20))*12? 2 What is the tens digit of (-20)/(-70) + (-3477)/(-7)? 9 Suppose 5*s + 1990 - 289 = 2*w, 2589 = 3*w + 5*s. What is the hundreds digit of w? 8 Suppose y - 18 = 6*y - c, 24 = -3*y + 5*c. Suppose -618 - 577 = 4*k + x, -575 = 2*k + 5*x. What is the tens digit of k/(-8) + y/2? 3 Let y be 33/(-88) + (-1606)/(-16). What is the units digit of (-35)/(-2)*y/35? 0 Let f be 5/10 + 1/(-2). Suppose 20 = -f*d - 2*d. Let n = 9 - d. What is the tens digit of n? 1 Let j(t) = t**3 + 4*t**2 - 2*t - 6. Let a be j(-4). Suppose 2*o - z = -63, -6*z = a*o - 2*z + 58. Let u = 47 + o. What is the tens digit of u? 1 Suppose -15 = -5*j + 5*k, -5*k - 6 = -5*j - 3*k. Suppose 4*d - 42 - 118 = j. What is the tens digit of d? 4 Let k(h) = -2*h - 8. Suppose w - 8 = 2. Let d be -2 + w*3/(-6). What is the units digit of k(d)? 6 Let k be 1/(-2) - (-258)/12. Let y = 70 + k. What is the tens digit of y? 9 Suppose u - 2*u - 9 = 0. What is the units digit of 9/12*(-24)/u? 2 Let k be 4 + -3 + (0 - 1). Let l be (-73)/(-5) + (-30)/(-75). Suppose k = i - l - 11. What is the tens digit of i? 2 What is the hundreds digit of 1755/(-30)*-4*7? 6 Suppose 3*w = 4*f + 39, -3*f + 5*w + 0*w - 43 = 0. Let k be 8/f*30/(-20). Suppose -k*t = -51 - 23. What is the tens digit of t? 3 Let g(b) = 272*b - 229. What is the tens digit of g(7)? 7 Let z(t) = t**2 + 7*t - 7. Let u be z(-8). Let b be ((-28)/(-49))/(u/7). Suppose b = j - 18. What is the units digit of j? 2 Suppose s - 7 = -0*s. Let h(w) = w + 17. What is the tens digit of h(s)? 2 Let v(k) = k**2 + 6*k - 1. Let o be v(-4). Let g be (-1 - o/(-6))*-2. Let n = 16 - g. What is the units digit of n? 1 Suppose -5*r = -170 - 1185. What is the tens digit of r? 7 Let g(o) = o**3 + 8*o**2 + 7*o + 3. Let q be g(-7). Let b be (-3)/q + 8*11. Suppose -b = -5*w + 38. What is the tens digit of w? 2 Let l be (7 + -9)/((-2)/12). Let w(y) = -y**3 + 3*y**2 - y - 2. Let k be w(2). Suppose k = -2*d - 3*n + 34 - l, 21 = d - n. What is the tens digit of d? 1 Suppose -u = 4*u + 2*f - 80, -3 = -2*u + 5*f. Let h be ((-8)/20)/(2/(-40)). Let q = u - h. What is the units digit of q? 6 Let d = -9 - -15. Suppose -2*i + 8*i + d = 0. What is the tens digit of (31/(-3))/(i/3)? 3 Let m = 177 - -345. What is the hundreds digit of m? 5 Let u(m) = m**2 + 10*m - 10. Let r be u(-9). Let l = r + 46. What is the tens digit of l? 2 Let y(d) = d**2 + d + 1. Let q be y(2). Suppose j + 2*a = 176, 2*a = 4*j + q*a - 716. What is the tens digit of j? 8 Suppose 4*y = 2*c - 30, -7 = -3*c + 2*y + 30. What is the tens digit of -3 + 43 + (c + 1)/(-3)? 3 Let c be -2*1 - (4 - 7). Let a be c + (34 - (-5 + 3)). Let s = -21 + a. What is the units digit of s? 6 Suppose -14 = 2*r + 5*w, 2*r + 3 = -4*w - 7. Let h(d) = 7*d. Let m be h(r). What is the tens digit of (-10)/(-35) - (-1128)/m? 5 Let c(h) = 63*h**2 + 8*h + 5. What is the hundreds digit of c(-4)? 9 Let x be 12/(-54) + 25/(-9). Let l(b) = -77*b - 3. What is the tens digit of l(x)? 2 Let r = 12621 + -8899. What is the tens digit of r? 2 Let p be -3 - (8*4)/(-4). Suppose 2*g = -4*z - g + 193, 3*z - 153 = -p*g. Suppose 2*b = 6, 2*m - 2*b = -6*b + z. What is the tens digit of m? 1 Suppose -5*l = 5 - 15. Let m be 1 - (-5 - (l - 3)). Let c = -4 + m. What is the units digit of c? 1 Suppose -28 = -5*r + 3*l, -3*l = -5*l - 2. Suppose -4*d = 3*a - 55 + 15, -r*d - 4*a = -50. What is the tens digit of 1 - 1 - d/(-1)? 1 Let w(t) = -21*t**3 - 19*t**2 + 9*t + 13. What is the units digit of w(-7)? 2 Let p be 0*(4 + -3)/(-1). Suppose p*r + 481 = 5*r - 3*a, -5*r + 467 = 4*a. What is the tens digit of r? 9 Let v(j) be the second derivative of -j**5/20 - 5*j**4/12 + j**3/3 - 5*j**2/2 + 4*j. What is the tens digit of v(-6)? 1 Let x be (3 + 1 - 3) + 2. Suppose 5*y - x*y - 10 = 0. Suppose -2*i + y*r + 54 = 0, 4*r + 24 = i - 6. What is the tens digit of i? 2 Let u = -15 - -17. Suppose -u*b = 3*b - 280. What is the units digit of b? 6 Suppose 2*q = -3*w + 10 + 2, w + 2*q = 4. What is the units digit of 2*(0 - (-2)/w) + 0? 1 Suppose 3*x - 29 = 1. What is the tens digit of (-12)/60 - (-1012)/x? 0 Suppose -8*i + 3463 - 407 = 0. What is the tens digit of i? 8 Suppose -4*t = 2*j - 6*t, -2*j - 2*t + 8 = 0. Suppose j*m = 101 + 99. What is the hundreds digit of m? 1 Let i(o) = 3*o**2 + 3*o**2 - 5*o + 0*o**2 + 0 + 2. Let m(j) = -5*j**2 + 6*j - 2. Let f(z) = -6*i(z) - 7*m(z). What is the te
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from ooddnn. What is prob of picking 2 n, 1 o, and 1 d? 4/15 Four letters picked without replacement from jjsjssjjjsjsssssjj. What is prob of picking 3 j and 1 s? 21/85 Calculate prob of picking 4 y when four letters picked without replacement from ymyy. 0 Two letters picked without replacement from uhowoxw. What is prob of picking 1 o and 1 u? 2/21 Calculate prob of picking 1 v and 2 x when three letters picked without replacement from xtxmmxmvvmmvd. 9/286 What is prob of picking 1 b and 1 y when two letters picked without replacement from llbdbylldylyxlxxol? 2/51 Two letters picked without replacement from {i: 11, m: 2}. What is prob of picking 1 i and 1 m? 11/39 Two letters picked without replacement from {s: 10, d: 4, y: 1, u: 3}. What is prob of picking 1 d and 1 u? 4/51 Two letters picked without replacement from nnvxvnnxvvxnxn. What is prob of picking 1 n and 1 v? 24/91 Two letters picked without replacement from {l: 2, r: 1, q: 1}. What is prob of picking 1 q and 1 r? 1/6 Four letters picked without replacement from {g: 1, s: 3, y: 1, o: 2, w: 3}. Give prob of picking 1 g, 2 s, and 1 w. 3/70 What is prob of picking 1 u, 1 v, and 1 i when three letters picked without replacement from uttvtvtivvvtuuu? 4/91 Three letters picked without replacement from {l: 4, o: 2, r: 3}. Give prob of picking 3 r. 1/84 Three letters picked without replacement from hhgqdvgkd. Give prob of picking 1 d, 1 k, and 1 h. 1/21 Calculate prob of picking 1 m and 1 v when two letters picked without replacement from ccvcckmcvkmklkvmll. 1/17 Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 4, l: 3}. 4/7 Two letters picked without replacement from {c: 3, a: 1, d: 3}. What is prob of picking 2 d? 1/7 Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {w: 8, h: 3, r: 2, t: 2}. 16/105 Three letters picked without replacement from alaa. What is prob of picking 3 a? 1/4 Calculate prob of picking 2 p, 1 d, and 1 z when four letters picked without replacement from {z: 1, d: 3, p: 10, i: 2}. 27/364 Two letters picked without replacement from {k: 1, w: 1, e: 1, x: 2, f: 2, p: 1}. What is prob of picking 1 k and 1 p? 1/28 Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {o: 8, t: 3}. 28/55 Two letters picked without replacement from ncffccrrfwdc. Give prob of picking 1 f and 1 w. 1/22 Three letters picked without replacement from {g: 1, o: 3, c: 3, d: 2, n: 1, p: 2}. What is prob of picking 1 g, 1 d, and 1 c? 3/110 Four letters picked without replacement from {z: 1, o: 1, d: 1, k: 1, i: 1, p: 2}. What is prob of picking 2 o, 1 i, and 1 d? 0 Three letters picked without replacement from {c: 3, g: 2, v: 7, e: 5}. Give prob of picking 1 g and 2 e. 1/34 Two letters picked without replacement from {n: 11, w: 3}. What is prob of picking 2 n? 55/91 Two letters picked without replacement from {z: 1, t: 4, i: 1, e: 9, o: 5}. Give prob of picking 1 o and 1 t. 2/19 Calculate prob of picking 1 q and 1 z when two letters picked without replacement from qqqqzqqzqqqqqqqqqqq. 34/171 What is prob of picking 1 l and 1 i when two letters picked without replacement from {o: 2, l: 2, i: 4}? 2/7 Calculate prob of picking 2 q and 1 p when three letters picked without replacement from pppqqpaapqappa. 3/52 Three letters picked without replacement from opoxmijjmxjp. Give prob of picking 1 x, 1 j, and 1 i. 3/110 Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {i: 3, t: 4, h: 1}. 3/28 What is prob of picking 2 i when two letters picked without replacement from cici? 1/6 What is prob of picking 1 z and 3 b when four letters picked without replacement from {b: 6, z: 2}? 4/7 Three letters picked without replacement from iipkiikkkppiikkvdik. What is prob of picking 1 k and 2 p? 7/323 What is prob of picking 1 m and 1 k when two letters picked without replacement from mnmkvjd? 2/21 Three letters picked without replacement from {c: 12, s: 1}. What is prob of picking 3 c? 10/13 Calculate prob of picking 4 x when four letters picked without replacement from {y: 9, o: 6, x: 4}. 1/3876 Calculate prob of picking 2 e and 1 n when three letters picked without replacement from {d: 2, n: 5, e: 3, i: 5, s: 4}. 5/323 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from xqxnzn. 2/15 Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {y: 3, v: 1, u: 9, a: 4, x: 1}. 1/153 What is prob of picking 2 g when two letters picked without replacement from egggeegg? 5/14 Three letters picked without replacement from {z: 1, m: 1, c: 1, o: 2, w: 1, s: 1}. Give prob of picking 1 s, 1 z, and 1 o. 2/35 Two letters picked without replacement from {s: 4, t: 3, w: 4}. Give prob of picking 2 s. 6/55 Three letters picked without replacement from disqqwidwisdsitws. Give prob of picking 1 d, 1 q, and 1 s. 3/85 Two letters picked without replacement from {n: 1, z: 1, a: 2, l: 1}. Give prob of picking 1 n and 1 z. 1/10 Two letters picked without replacement from yqyyqqqqqqq. Give prob of picking 2 q. 28/55 Four letters picked without replacement from {o: 5, k: 2, p: 3, y: 3}. What is prob of picking 4 o? 1/143 Four letters picked without replacement from dddfbwbwbdwdf. What is prob of picking 2 f, 1 b, and 1 w? 9/715 What is prob of picking 3 b when three letters picked without replacement from jjjbbjjbabbbabbbj? 21/170 What is prob of picking 3 g when three letters picked without replacement from {g: 5, i: 15}? 1/114 Two letters picked without replacement from {s: 4, r: 4, t: 2}. What is prob of picking 2 t? 1/45 Calculate prob of picking 1 f and 1 e when two letters picked without replacement from fer. 1/3 Four letters picked without replacement from cgegqve. Give prob of picking 2 g, 1 c, and 1 v. 1/35 Two letters picked without replacement from {z: 1, b: 4, u: 4, x: 1, v: 1, f: 1}. What is prob of picking 1 b and 1 f? 2/33 What is prob of picking 1 p and 1 g when two letters picked without replacement from bgbbpgbbbogggggpggbg? 2/19 Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {q: 1, s: 1, y: 4, e: 5, j: 4}. 4/105 Two letters picked without replacement from oooyooy. What is prob of picking 1 o and 1 y? 10/21 Calculate prob of picking 2 t and 1 f when three letters picked without replacement from {t: 4, v: 2, j: 3, f: 9}. 9/136 Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {q: 1, f: 1, e: 1, t: 1, i: 1}. 1/10 Four letters picked without replacement from {t: 2, s: 5}. Give prob of picking 2 s and 2 t. 2/7 Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, g: 7}. 6/55 Calculate prob of picking 1 x and 2 y when three letters picked without replacement from yxcyyyhxyyhy. 21/110 What is prob of picking 3 f and 1 y when four letters picked without replacement from {y: 5, j: 1, f: 7, i: 2, v: 3}? 35/612 What is prob of picking 1 q and 3 e when four letters picked without replacement from eeqeqeqqeqqqq? 16/143 Two letters picked without replacement from yageb. What is prob of picking 1 g and 1 b? 1/10 Two letters picked without replacement from {r: 2, f: 7}. What is prob of picking 2 f? 7/12 Two letters picked without replacement from bydbylkg. What is prob of picking 1 g and 1 b? 1/14 Calculate prob of picking 2 n when two letters picked without replacement from {f: 5, q: 3, n: 8}. 7/30 Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {u: 3, g: 2, r: 8, o: 3, w: 1, x: 1}. 7/204 Two letters picked without replacement from {i: 1, e: 1, w: 1, h: 1, b: 2, y: 1}. Give prob of picking 1 h and 1 i. 1/21 Four letters picked without replacement from {v: 4, w: 12, b: 1, c: 2}. Give prob of picking 1 c, 2 w, and 1 v. 44/323 Four letters picked without replacement from joojjjoojjjjjjjoooj. Give prob of picking 4 o. 35/3876 Four letters picked without replacement from {j: 9, z: 2, d: 2, h: 3, c: 1, k: 3}. Give prob of picking 1 k, 2 d, and 1 j. 9/1615 What is prob of picking 1 u and 2 h when three letters picked without replacement from phulurjphlhhphu?
{ "pile_set_name": "DM Mathematics" }
1601764 to six dps. 0.000016 What is -64.179771 rounded to the nearest integer? -64 Round -0.07552519064 to six dps. -0.075525 What is 0.000818722899 rounded to seven decimal places? 0.0008187 Round -174.3021 to one decimal place. -174.3 Round 0.005487399143 to 5 decimal places. 0.00549 What is 0.00856369051 rounded to three dps? 0.009 What is 55.20832351 rounded to the nearest ten? 60 What is 676.2436821 rounded to 1 decimal place? 676.2 Round -0.00008441689 to five dps. -0.00008 Round 1976374.7 to the nearest 100000. 2000000 What is 837.209908 rounded to the nearest 100? 800 Round 340627.37 to the nearest 1000. 341000 Round -790028.098 to the nearest 100. -790000 Round 0.000002615822647 to seven dps. 0.0000026 Round -1920.675967 to 1 decimal place. -1920.7 Round -0.04052849007 to 3 decimal places. -0.041 What is 0.000070485167 rounded to five dps? 0.00007 What is -0.00029752774 rounded to five decimal places? -0.0003 What is -0.0358060542 rounded to five decimal places? -0.03581 What is 1515092.4 rounded to the nearest one thousand? 1515000 What is 17340660 rounded to the nearest one million? 17000000 What is -76722160 rounded to the nearest 10000? -76720000 Round -0.327940946 to four dps. -0.3279 Round 0.0000002251427451 to seven decimal places. 0.0000002 Round -0.00236867858 to six dps. -0.002369 Round 437.895799 to the nearest integer. 438 What is -0.000597362629 rounded to 4 dps? -0.0006 Round -5402.58061 to the nearest one hundred. -5400 Round 1870538060 to the nearest 1000000. 1871000000 What is 169.779184 rounded to the nearest one hundred? 200 What is -113031.081 rounded to the nearest one hundred? -113000 What is -1435.21706 rounded to zero dps? -1435 Round 61558.4034 to the nearest ten thousand. 60000 What is -632.05754 rounded to 1 decimal place? -632.1 Round -0.000159862296 to five dps. -0.00016 What is -4908454000 rounded to the nearest 1000000? -4908000000 What is 7.8592 rounded to 3 decimal places? 7.859 What is -185.4602167 rounded to two dps? -185.46 What is 95133.4702 rounded to the nearest 10? 95130 Round 0.0000065502358 to six dps. 0.000007 What is -267606.4028 rounded to the nearest 10000? -270000 Round 0.0103229963 to three decimal places. 0.01 What is 0.00000100178361 rounded to 7 decimal places? 0.000001 Round 2578.51727 to the nearest 10. 2580 What is 85.623253 rounded to the nearest 10? 90 Round 26.26767145 to the nearest integer. 26 What is 4506.0837 rounded to the nearest ten? 4510 Round 0.004358325042 to five decimal places. 0.00436 Round 4658761380 to the nearest 100000. 4658800000 Round -2933924 to the nearest ten thousand. -2930000 Round -0.0000044250445 to 6 decimal places. -0.000004 What is 0.0000023762043 rounded to 7 dps? 0.0000024 Round -10592424.5 to the nearest one hundred thousand. -10600000 What is 3657.56725 rounded to 0 decimal places? 3658 What is 248174.903 rounded to the nearest ten? 248170 What is 70.752564 rounded to the nearest integer? 71 What is -0.000889796475 rounded to 4 decimal places? -0.0009 Round -23.57040664 to two dps. -23.57 What is -58984.491 rounded to the nearest one thousand? -59000 Round -147.606188 to the nearest 10. -150 Round -9471365.58 to the nearest one hundred. -9471400 Round 159.893402 to 0 decimal places. 160 What is -0.000012514359818 rounded to six decimal places? -0.000013 Round -0.001063882953 to 5 decimal places. -0.00106 What is 257929.31 rounded to the nearest 1000? 258000 Round -4387209.54 to the nearest 100000. -4400000 Round -39473118.9 to the nearest 10000. -39470000 What is -0.0012623030817 rounded to 7 decimal places? -0.0012623 Round 32.34368316 to the nearest ten. 30 Round -463540.392 to the nearest ten. -463540 Round 184130.465 to the nearest one hundred thousand. 200000 What is 8786.3442 rounded to the nearest 100? 8800 What is 611497.759 rounded to the nearest one thousand? 611000 Round 0.061077587 to 4 decimal places. 0.0611 What is 0.0217229721 rounded to two decimal places? 0.02 Round -1.497419808 to two dps. -1.5 What is -190.9987958 rounded to 0 decimal places? -191 What is -40.446335 rounded to 0 decimal places? -40 Round -25975.34696 to the nearest 10. -25980 What is 4512.122958 rounded to zero dps? 4512 Round -0.0167421167 to 4 dps. -0.0167 What is -7772124.6 rounded to the nearest 100000? -7800000 Round -0.0000242007399 to 6 dps. -0.000024 What is 137226756.4 rounded to the nearest one hundred thousand? 137200000 Round 0.0000281698507 to six decimal places. 0.000028 What is -0.03985501732 rounded to 4 decimal places? -0.0399 What is -0.002728722442 rounded to 6 decimal places? -0.002729 What is 0.0000215845697 rounded to five decimal places? 0.00002 Round -27003.88017 to zero dps. -27004 Round 1.8520259 to three decimal places. 1.852 What is -0.549362055 rounded to 2 dps? -0.55 What is 0.0002666595621 rounded to 7 decimal places? 0.0002667 What is -284.26411 rounded to the nearest ten? -280 Round 0.03504343113 to three dps. 0.035 What is -0.00580751705 rounded to seven decimal places? -0.0058075 What is -0.000000443203228 rounded to 7 decimal places? -0.0000004 What is 29.1119686 rounded to 1 dp? 29.1 What is -1.599086309 rounded to zero dps? -2 What is -42522.3505 rounded to the nearest one hundred? -42500 What is 2084071000 rounded to the nearest one hundred thousand? 2084100000 What is -0.0003399519 rounded to four dps? -0.0003 What is 1.639582302 rounded to 0 decimal places? 2 Round -0.00182275573 to 5 dps. -0.00182 What is 0.0000175049822 rounded to 7 dps? 0.0000175 What is -12.065368 rounded to two decimal places? -12.07 What is -127817.82375 rounded to the nearest 10000? -130000 What is 1652.36135 rounded to the nearest integer? 1652 Round 3639.83795 to the nearest ten. 3640 What is -2.233567328 rounded to 0 dps? -2 What is -47509840 rounded to the nearest ten thousand? -47510000 What is -0.2503946 rounded to 5 decimal places? -0.25039 Round 3.5065857 to 3 decimal places. 3.507 What is -19310.551 rounded to the nearest 100? -19300 Round 2364996630 to the nearest one hundred thousand. 2365000000 Round -14525.481 to the nearest 1000. -15000 Round -3.1497451 to 2 dps. -3.15 What is 41191.19 rounded to the nearest one thousand? 41000 Round 0.780608245 to 3 decimal places. 0.781 Round 160534124 to the nearest 100000. 160500000 What is -2.7985264 rounded to two decimal places? -2.8 What is -0.00013044730788 rounded to five dps? -0.00013 What is -0.002272218846 rounded to 4 dps? -0.0023 Round -0.000301019601 to six dps. -0.000301 What is 61.563606 rounded to the nearest ten? 60 Round 74049.31956 to the nearest 1000. 74000 Round -582.877506 to 1 decimal place. -582.9 What is 23076.65 rounded to the nearest 10000? 20000 What is -0.02241421695 rounded to 7 dps? -0.0224142 What is 677410.234 rounded to the nearest ten thousand? 680000 What is 0.2259522456 rounded to 4 decimal places? 0.226 What is 2829.96969 rounded to the nearest integer? 2830 What is 29.0961169 rounded to three decimal places? 29.096 Round 0.0204313948 to 3 dps. 0.02 What is 44306.4897 rounded to the nearest 10000? 40000 What is 14.3449945 rounded to 1 dp? 14.3 Round 54339398.85 to the nearest one million. 54000000 Round 1786536.045 to the nearest one hundred thousand. 1800000 Round -1098593.88 to the nearest one hundred thousand. -1100000 Round 226415.972 to the nearest one hundred. 226400 What is -1007747.99 rounded to the nearest 100000? -1000000 What is 0.000243954802 rounded to 5 dps? 0.00024 What is -0.17947614 rounded to four decimal places? -0.1795 Round -0.001237170967 to seven dps. -0.0012372 Round -25051.763 to the nearest ten thousand. -30000 Round -0.001231384457 to 6 dps. -0.001231 Round -61405.49364 to 0 decimal places. -61405 Round 1255437.1276 to the nearest 100000. 1300000 Round -8.6281207 to three dps. -8.628 Round 0.2186682559 to two dps. 0.22 What is -0.000004373381405 rounded to seven dps? -0.0000044 What is 78124359.1 rounded to the nearest 1000000? 78000000 What is -7.74347249 rounded to the nearest integer? -8 Round -0.000030985444 to seven dps. -0.000031 What is -3079247500 rounded to the nearest 1000000? -3079000000 What is 190528453 rounded to the nearest one million? 191000000 Round -66966.49992 to the nearest 100. -67000 Round -2554.45826 to
{ "pile_set_name": "DM Mathematics" }
2*w(z). z - 3 Let p(b) = -2*b**3 + b**2 - 51*b - 6. Let i(g) = -4*g**3 + 3*g**2 - 109*g - 13. Determine 3*i(l) - 7*p(l). 2*l**3 + 2*l**2 + 30*l + 3 Let v(o) = -3*o**3 + 4*o**2 - 4*o + 4. Let y = -135 + 137. Let q(d) = 3*d - 37 - 4*d + d**y + 38. Calculate -4*q(h) + v(h). -3*h**3 Let o(g) = -204580*g**2 - 212*g + 106. Let i(p) = 5845*p**2 + 6*p - 3. Calculate -106*i(c) - 3*o(c). -5830*c**2 Let d(a) = 6*a**3 + 5*a**2 + 32. Let o(u) = 2*u**3 + 2*u**2 + 11. Suppose 246*l + 1053 = 597*l. What is l*d(n) - 8*o(n)? 2*n**3 - n**2 + 8 Let r(x) = 4*x**3 + 2*x - 2. Let m(p) = p - 1. Let c = -136 - -145. Suppose 10*v - c*v = w - 3, -4*v - 5*w = -24. Determine v*r(k) - 2*m(k). 4*k**3 Let c(y) = 5*y + 671. Let h(x) = -7*x - 668. Calculate 4*c(m) + 3*h(m). -m + 680 Let v(n) = 17883*n**2 - 15896*n - 31792. Let h(c) = -2*c**2 + 2*c + 4. Determine -7948*h(j) - v(j). -1987*j**2 Suppose 8 = -11*x - 8*x + 23*x. Let s(u) = -39*u**3 - 2*u**2 + 2*u + 2. Let v(k) = -741*k**3 - 39*k**2 + 39*k + 39. Calculate x*v(p) - 39*s(p). 39*p**3 Let z(j) = -j + 12 - 7*j + 9*j. Let x be 2/(-4) + (-9)/2. Let o be z(x). Let k(t) = 5*t**3 + 7*t**2. Let h(i) = -2*i**3 - 3*i**2. Give o*h(a) + 3*k(a). a**3 Let w(c) = c - 4. Let u = -1 - -4. Let n be (-3 + 13)*3/(-6). Let y be 6/(-10)*n - -1. Let v(q) = -2*q + 5. Calculate u*v(j) + y*w(j). -2*j - 1 Let y(k) = -6*k + 14. Let c(i) be the second derivative of -7*i**3/6 + 7*i**2 + 1205*i. Give -5*c(t) + 6*y(t). -t + 14 Let w(h) = 4*h**2 - 5*h. Let f(a) be the first derivative of a**2/2 - 183. Let n = 96 - 92. Calculate n*f(k) + w(k). 4*k**2 - k Let y(t) = 16*t**3 + 18*t**2 - 34*t. Let k(q) = -8*q**3 - 9*q**2 + 16*q. Give -9*k(a) - 4*y(a). 8*a**3 + 9*a**2 - 8*a Let d(w) = 14*w**3 - 8*w**2 - 8*w + 8. Let o(l) = 5*l**3 - 3*l**2 - 3*l + 3. Suppose 104 = 4*b - 140. Suppose -b*q = -52*q - 72. Determine q*o(x) - 3*d(x). -2*x**3 Let l(v) = 11*v - 2. Let h(c) = -13*c + 122. Let s(z) = -4*z + 43. Let f(k) = 6*h(k) - 17*s(k). Give 3*f(b) + 2*l(b). -8*b - 1 Let g(a) = -223 - 266*a - 220 - 225 + 668. Let s(m) = -19*m. Calculate -4*g(q) + 57*s(q). -19*q Let d(j) = -j - 2 + j + j**2 + 5*j. Let t(n) = -9*n**3 - 200*n**2 - 44*n + 5. Let r be t(-22). Let i(b) = b**2 + 6*b - 2. Determine r*i(z) - 6*d(z). -z**2 + 2 Let u be -12 - -9 - 1 - -7*1. Let f(s) = -s - 3. Let w(j) be the second derivative of -j**3/3 - 2*j**2 - 34*j. What is u*w(l) - 4*f(l)? -2*l Let s(o) = 1. Let i(h) = -h**3 + 5*h**2 - 4*h - 1. Let r be i(4). Let p be (15/(-4))/(45/(-60)). Let l(v) = -2*v**2 - v + 3 - v**2 + p*v**2. Give r*l(m) + s(m). -2*m**2 + m - 2 Let g(f) = -9*f - 2. Let v(r) = -1 + 1028*r - 2 - 1036*r. Calculate -4*g(m) + 3*v(m). 12*m - 1 Let h(f) = -10*f - 9. Let v = 11 - 4. Let i(l) be the second derivative of l**3/2 + 3*l**2/2 + 5640*l. Give v*i(d) + 2*h(d). d + 3 Let f be ((-28)/16 - -2)/(-3*10/360). Let r(i) = -31*i - 18 - 18*i - 17. Let s(h) = 4*h + 3. Calculate f*r(j) - 35*s(j). 7*j Let h(z) = -16*z**2 - z + 4. Let n(r) = 29*r**2 - 175. Let i(c) = -28*c**2 + c + 258. Let b(f) = -2*i(f) - 3*n(f). What is -4*b(j) + 9*h(j)? -20*j**2 - j Let y(f) = 6*f**2 + 11*f + 1. Let g(n) = 3*n**2 + 3*n. What is 4*g(j) - y(j)? 6*j**2 + j - 1 Let m(f) = 9*f**2 - 418*f + 16. Let c(d) = -5*d**2 + 209*d - 9. Calculate 11*c(y) + 6*m(y). -y**2 - 209*y - 3 Let w(g) = -29*g**3 - 3*g. Let k(h) = 117 + 8*h - 360 + 129 + 114 + 86*h**3. What is 3*k(o) + 8*w(o)? 26*o**3 Let p(b) = -13*b**3 - 236*b - 36. Let h(x) = 6*x**3 + 118*x + 16. Give -9*h(s) - 4*p(s). -2*s**3 - 118*s Let r(j) = -11*j**2 - 11751*j - 45. Let k(d) = 3*d**2 + 2937*d + 12. Give 15*k(z) + 4*r(z). z**2 - 2949*z Let b(y) = -y**3 + y**2 + 1. Suppose 11*k - 554 = 126*k + 162*k. Let w(m) = -8*m**3 + 8*m**2 + 8. Determine k*w(a) + 14*b(a). 2*a**3 - 2*a**2 - 2 Let u(k) = -2653*k**3 + 3*k**2 + 6*k - 6. Let w(f) = -13264*f**3 + 16*f**2 + 32*f - 32. Give 16*u(y) - 3*w(y). -2656*y**3 Let f(h) = 15*h - 2. Let q be (-365)/(-90) - 4 - 3621/(-918). Let o(k) = 30*k - 4. Calculate q*o(u) - 7*f(u). 15*u - 2 Let h(t) = -96*t**2 - 2*t - 10. Let s(j) = -63*j**2 - j - 6. Let w(q) = -5*h(q) + 8*s(q). Let m(y) = 121*y**2 - 11*y - 11. Determine -2*m(v) - 11*w(v). 22*v**2 Let s(l) = 3027 - l + 3029 + 3029 - 9089. Let j be (-44*1)/2 + 0. Let n(o) = 6*o + 21. Give j*s(w) - 4*n(w). -2*w + 4 Let l(n) = -13*n + 3. Let o(p) = -19*p - 1. What is -4*l(t) + 3*o(t)? -5*t - 15 Let v(r) = 1 - 6*r + 0 - r. Let l(h) = -13*h + 1. Let i(u) = 6*l(u) - 11*v(u). Let o be (-11)/((-6)/54*-9). Let n(g) = -6*g - 26. Give o*i(j) + 2*n(j). -j + 3 Let c(i) = -i**2 - i - 1. Let w(l) = 455 + l - 138*l**3 - 454 + 139*l**3 + 0*l**2 + 4*l**2. Calculate 3*c(a) + w(a). a**3 + a**2 - 2*a - 2 Let l(j) = 8*j**3 - 3*j**2 - 9*j + 6. Let c(k) = -k**3 + k**2 + k - 1. Let p(i) = i**3 + 4*i**2 + i + 24. Let a be p(-5). Determine a*c(d) - l(d). -2*d**3 - 3*d**2 + 3*d Let g(x) = 21. Let p(t) = -15*t - 13. Let y(m) = 7*m - 15. Let u(n) = -p(n) - 2*y(n). What is -5*g(l) + 2*u(l)? 2*l - 19 Let t(m) = 532*m**2 - 20*m. Let x(j) = j**2 - 5*j. What is -t(s) + 3*x(s)? -529*s**2 + 5*s Let q(f) = 2*f**2 + 3*f**2 + 12*f - 8*f - 1 + 6*f - 3*f. Let d(g) = -6*g**2 - 8*g + 1. Let w be (-2 - 1) + (-1)/1. What is w*d(t) - 5*q(t)? -t**2 - 3*t + 1 Let z(w) = -2797*w**3 + 3*w**2 - 3*w + 3. Let p(v) = 10430013*v**3 - 11188*v**2 + 11188*v - 11188. What is -3*p(q) - 11188*z(q)? 2797*q**3 Let v(m) = -18*m**3 + 10*m**2 - 8*m + 18. Let j(t) = 2*t**3 - t**2 + t - 2. What is 26*j(z) + 3*v(z)? -2*z**3 + 4*z**2 + 2*z + 2 Let f(p) = -49*p + 940. Let h be f(19). Let q(b) = -3*b**3 - 21*b**2 - 9*b - 8. Let j(x) = -x**3 - 5*x**2 - 2*x - 2. Calculate h*j(d) - 2*q(d). -3*d**3 - 3*d**2 - 2 Let y(f) = 1. Let m(u) = -11*u + 8. Suppose -5*p = 3 - 13, -4*w + 4*p + 12 = 0. Determine w*y(c) - m(c). 11*c - 3 Let v(m) = 3*m - 227. Let d(f) = -16*f + 1119. Determine 3*d(l) + 14*v(l). -6*l + 179 Let y(h) = -h**2 - h - 15. Let c = -9474 - -9476. Let f(i) = -1. Give c*y(t) - 22*f(t). -2*t**2 - 2*t - 8 Suppose -g = g - 8. Let y(o) = -o. Let x(q) = q - 267*q**2 - 267*q**2 - 266*q**2 - 264*q**2 - 266*q**2 + 1328*q**2. Give g*y(p) + 4*x(p). -8*p**2 Let b(l) = 3*l + 4. Let m(p) = -137 - 150 + 288. Determine -b(c) + 3*m(c). -3*c - 1 Let z(g) = -392*g**3 + 2*g**2 + 22*g. Let y(v) = 196*v**3 - v**2 - 10*v. Give 13*y(t) + 6*z(t). 196*t**3 - t**2 + 2*t Let d be 8688/362 + (-22)/1. Let r(n) = -4*n + 15. Let q(p) = 3*p - 15. What is d*r(k) + 3*q(k)? k - 15 Let y(q) = -20*q + 109. Let o(r) = 11*r - 36. Give -5*o(t) - 2*y(t). -15*t - 38 Let c(r) = -2*r**2 - 2*r. Let q(v) = -13*v**2 - 34*v - 2. Determine 6*c(o) - q(o). o**2 + 22*o + 2 Let d(x) = 1. Let z(p) = -p**2 + 5*p + 3. Suppose 20*j - 18*j - 13 = -11*j. Calculate j*z(b) - 3*d(b). -b**2 + 5*b Let m(d) be the second derivative of -d**3/3 + 3*d**2/2 - d. Let u(t) = 866 - 4*t - 405 - 454. Calculate -7*m(z) + 3*u(z). 2*z Let g(t) = 33*t - 1. Let r(w) = 16*w. Suppose -10 = 2*p, -315*m = -318*m - p + 1. What is m*g(f) - 5*r(f)? -14*f - 2 Let k(r) = -17*r - 5. Let x(s) = -2 - 7 - 32*s + 43*s - 46*s. Give 7*k(t) - 4*x(t). 21*t + 1 Let p(w) = w**3 - w**2 + 4. Let t(c) = -2*c**3 + c**2 + c. Let y(k) = -2*k**2 + 18 - 17 - 11*k**3 + 8*k**2 + 6*k. Let f(b) = -6*t(b) + y(b). Give 2*f(v) - p(v). v**3 + v**2 - 2 Let f be (-144)/8*(-4)/6. Let q = f - 13. Let d(n) = -5*n - 7. Let i(o) be the second derivative of -o**3/6 - o**2/2 + 191*o. Determine q*d(m) + 6*i(m). -m + 1 Let j(l) = 51*l**2 + 5*l + 5. Let t(s) = -124*s - 129. Let o be t(-1). Let f(z) = 280*z**2 + 28*z + 28. Give o*f(r) + 28*j(r). 28*r**2 Let k(r) = 117*r + 23. Let l(z) = -23*z - 5. Let p(y) = 2*k(y) + 10*l(y). Let i(d) = 4 - 2*d - 4*d + d. Give 2*i(x) + 3*p(x). 2*x - 4 Let d(f) = -53*f + 2. Let m(i) = -515*i - 43. Let b(x) = 513*x + 51. Let l(u) = 8*b(u) + 9*m(u). Determine -21*d(k) + 2*l(k). 51*k Let l(o) = -3*o**3 - 18*o**2 + 56*o + 54. Let f(p) = -2*p**2 + 7*p - 1. Calculate -9*f(q) + l(q). -3*q**3 - 7*q + 63 Let r(i) = 2247*i + 6. Let h(v) = -2246*v - 9. Determine -2*h(l) - 3*r(l). -2249*l Let c(t) = -30*t**2 - t - 3. Let r(y) = 119*y**2 + 5*y + 12. Let j(m) = -4*c(m) - r(m). Let n = -6 - -10. Let d(g) = 3*g + g - 2*g - 5*g**2. Give n*j(l) + d(l). -l**2 - 2*l Let i(a) = -4*a + 8. Let x(w) = 5*w - 13. What is 2*i(q) + 3*x(q)? 7*q - 23 Let v(r) = 13*r**2 + r
{ "pile_set_name": "DM Mathematics" }
- -137. Let k = q - -74. What is the closest to 0 in k, m, 2/5? m Let w be 2*(-54)/18 + (1 - -1). Suppose 0 = -3*h + 27 - 132. Which is the closest to h? (a) 5 (b) w (c) 2 (d) -0.4 b Let z = 12575.9 - 12576. Which is the closest to z? (a) -0.3 (b) -1.8 (c) 1/5 (d) -2/13 d Let o = -26/7 + 115/14. Let f = 31/6 - o. Let l = -0.2324 - -3.2324. Which is the nearest to l? (a) -0.2 (b) 0 (c) f c Let c = 0.04764 + -0.07664. What is the nearest to -1 in -4, c, 5? c Let f = 5206 - 5203. What is the nearest to 2.2 in 0, f, 0.04, 4? f Let f = -7863.4 - -7863. Which is the nearest to -2/11? (a) f (b) 522 (c) -5/2 a Let t = -3.207 + -0.683. Let g = t - 1.11. What is the nearest to -1 in 2, -4/3, g? -4/3 Let d = -4442.98 + 4443. Which is the closest to 7? (a) 0.4 (b) d (c) 0 a Let l = 88 + -86. Suppose -3*m - 5*j + 13 = -2*m, 5*j = l*m + 34. What is the nearest to 6 in 1, m, -5? 1 Let s = 147 - 403. Let j = s + 256. Which is the nearest to -3? (a) 1/10 (b) j (c) -0.1 c Let t = -1887.7 - -1888. What is the closest to 0.3 in 0, t, -15? t Let a = 0.1 - 0.3. Let j = -87 + 1202. Let v = -1131 + j. What is the nearest to v in 1, -5, a? -5 Let q = -7.2 - -6.7. Let k = 25 + -41. Let z = 13 + k. What is the closest to -1 in q, -2/11, z? q Let v = 12975 + -13065. Which is the closest to 5/2? (a) v (b) -2/17 (c) 1/4 c Let a = -2/4845 + 1952549/33915. Let i = -2887/42 + a. Let v = i - -11. What is the nearest to -0.1 in 5, v, 3? v Let j = -220.83 + 220.33. Let n = -34/185 - 8/37. Which is the nearest to n? (a) j (b) 0.03 (c) -3 a Let l = -46.17 - -44.17. What is the nearest to 1 in -1, l, -3? -1 Let f be 0 + -2 + (-42)/(-18). Let t be (3 - 48/18)*(8 + -11). Which is the nearest to t? (a) -7 (b) 0 (c) f b Let q = 37.7 + -0.7. Let n = 37.1 - q. Which is the nearest to n? (a) -2 (b) 3 (c) -3 a Let t = 3561/286 + -319/26. Let w = 0 - 0.5. Which is the closest to t? (a) w (b) -4 (c) -2/9 c Let y(u) = 3*u**2 - 85*u + 612. Let r be y(15). Which is the nearest to -1? (a) 0.04 (b) -5 (c) 1 (d) r a Let q be (-14)/(-28)*(-8)/(-7). Let x = -2.0684 + 0.0684. What is the closest to -7 in q, 2/9, x? x Suppose 0 = -j + 4 - 0. Suppose 8 + 0 = -j*r. Let v = -274.9 - -275. Which is the nearest to r? (a) -1 (b) -0.6 (c) v a Let j = 1194.1 + -1200.1. Which is the closest to j? (a) 73 (b) 3 (c) -4 c Let j be 2/7*(-6)/4. Let f = 43634 - 43633. Which is the closest to f? (a) -1 (b) -0.4 (c) -2 (d) j b Let q = 6 + -4. Suppose -73 + 167 = -83*p - 321. Suppose 0 = 5*o - 17 + 2. What is the closest to q in -3, o, p? o Let f = 0.2219 + 4.7781. What is the closest to f in 8, -2, 23? 8 Let f be (-2)/(20/(-70)*-21). Which is the nearest to f? (a) -2/7 (b) -0.4 (c) -59 (d) 1/2 a Let k = 0.083 - 0.283. Which is the nearest to k? (a) 5 (b) 1/61 (c) -4 b Let s = -30369 + 30372. What is the nearest to -64 in 7, 2, s? 2 Let z = 3314.89 - 3315. What is the nearest to 2 in -0.08, z, -3? -0.08 Let w be 38/(-7) - 6/(-14). Let d(p) = -p**2 - 4*p + 4. Let b be d(w). Let x = -1543 - -7716/5. What is the closest to 1 in b, x, -0.2? x Let o = -112.2 + -20.8. Suppose -3*w - v + 6 = 0, -5178*v - 18 = 3*w - 5173*v. Which is the closest to o? (a) w (b) 0.1 (c) -1 c Let s = -16677 - -16707. Which is the nearest to -3? (a) 3 (b) -2/5 (c) s b Let n = -16/3 - -77/15. Let r = 642.7 - 642.4. Which is the nearest to n? (a) r (b) 1 (c) -5 a Let d = 8 + -11. Let m = -1 + d. Let x = -2309 + 16165/7. Which is the closest to -2? (a) x (b) -1 (c) m b Let c = 12.653 + -12.753. Let m = 10 + -14. What is the nearest to c in m, -3, -2? -2 Let n be 1/(-3)*24/(-14). Let t be ((-16)/(-40))/((-9)/5). Let b = 327.7 - 327.8. What is the nearest to -2/5 in b, n, t? t Let j = 120 - 106.8. Let p = -47.7 + j. Let r = p + 35. Which is the nearest to 0? (a) -4 (b) -5 (c) r c Let k = 800/987 - 74/141. Which is the nearest to k? (a) 2/9 (b) 5 (c) -11 a Let v = 12604.64 + -12607. What is the nearest to -0.05 in 2/3, 5, v? 2/3 Let u = -1 - -1. Let s = -244/3 + 80. Let d = -11755.3 - -11755. What is the closest to u in d, s, -1/2? d Suppose -3*v = 2*z - 8*v, 3*z - 3*v = -18. Let u be (-2)/z + (-196608)/1040. Let n = 189 + u. Which is the nearest to -2/5? (a) n (b) -0.4 (c) 1 b Let i = 14.8 + -15. Let d = -46.3 + -13.7. Let u = d - -65. What is the closest to 0.2 in u, i, 3? i Let f = -22.79 + 23.09. What is the closest to -1 in -35, 0.03, f? 0.03 Let v be ((-48)/(-10))/(4 + (-985)/250). Let l = 81 - v. Which is the nearest to l? (a) -20 (b) 1/7 (c) -2 b Let q = -328089/23 - -14265. What is the closest to 0.1 in q, -2/3, 3, -0.1? q Suppose -12 + 22 = 10*g. Which is the nearest to 0.262? (a) 0 (b) g (c) 0.1 c Let u = 3876 + -3877. Let d = 3/947 - 577697/8523. Let s = d - -68. Which is the closest to u? (a) -0.3 (b) -1/5 (c) s a Let f = -459.4 - -460. Which is the closest to f? (a) -5 (b) 33 (c) -1 c Let z = 5.73834 + 0.26166. Let f = 38 + -25. Which is the closest to -0.2? (a) f (b) z (c) 1 (d) 3 c Let z = -97.3 - -93.3. What is the closest to z in -2, -4, -43? -4 Let w = -198/403 + 20/31. Let d = -1.02737 - -0.92737. What is the nearest to 2 in d, 1, w? 1 Let y = -132 + 246. Let m = 115 - y. What is the nearest to m in -3/4, 0, -0.2? 0 Let q be ((2/8)/((-19)/(-38)))/1. What is the closest to q in -41, 2/7, 0.1, -0.05? 2/7 Let m = 0.4027 - 0.3627. What is the nearest to 3 in m, 5, 2/5, -0.1? 5 Suppose -3*k = -0*k + r + 3, 3*k + 3 = 5*r. Let f be (-30)/(-175)*55/(-22). What is the nearest to k in -9, f, -4? f Let o = 366/253 + -1324/1265. Let u = 1.4 + -1. Which is the nearest to o? (a) -2 (b) -0.1 (c) u c Let i = 0.17705 + 0.02295. What is the closest to 69 in i, -0.2, -2, -4? i Let y = -0.98981 + -0.01019. What is the nearest to -2/5 in y, 13, -1/5, 0? -1/5 Let k = 452 - 394. Let l = k - 57.8. Which is the closest to l? (a) -3/7 (b) 3 (c) 1/24 c Let v = 10 - 5. Let d = 2/41205 + 41197/164820. Let m = 109/10 - 21/2. What is the closest to -0.1 in v, m, d? d Let n = 0.34 + -0.34. Let t = -12.56 + 9.56. What is the closest to n in 0.3, t, 8? 0.3 Let b = 682 - 681.35. Let h = b - 1.05. What is the closest to -0.1 in 0.1, h, -13/4, 0.5? 0.1 Let q = -4.0524 - 0.0776. Let n = q - -0.13. Let p = 141/2 - 70. What is the closest to -1/2 in 4/7, n, p? p Let j be 6/(-9) + 462/18. Let d be (-89)/((-2)/(12/(-21))). Let f = j + d. Which is the closest to 0.4? (a) f (b) -0.3 (c) 0.1 c Let u be 2/9 + (-4)/99. Let g be (28/(-196))/(2/(-28)). What is the closest to 2/17 in g, -3, u? u Suppose -1618*d + 1619*d + 6 = -2*w, -w + 2*d - 8 = 0. Which is the nearest to -1? (a) w (b) -1772 (c) -2/15 c Let g = -1157/19 + 61. Let n = 901/2 - 6311/14. Which is the nearest to g? (a) n (b) 0 (c) 3 b Let k = -67 + 68. Suppose 3*j + 4 - 7 = 0. Let s be 3 - (j/2 + 2). Which is the closest to 0? (a) k (b) 3/7 (c) s b Let o be 7/(-6) + (-894)/(-828). Let w = 0.5 - 3. Let s = -0.5 + w. Which is the nearest to s? (a) 1 (b) 0.1 (c) o c Let g = 2/3507 + -3575/119238. Which is the nearest to 0.2? (a) -4 (b) -3 (c) g c Let h be -8 + 10 + 2/3*-3. Suppose h = -10*i + 42 - 12. What is the nearest to -0.4 in 0, i, -4? 0 Let i = 5 + 1. Let n = i - 9. Let f be (-3)/(2*(-9)/30). Which is the closest to 0.1? (a) f (b) -2 (c) n b Let p = -0.239637 - -0.539637. Let y = 0.2 - -0.3. Let r = -2.3 - -2. Which is the closest to 2? (a) p (b) r (c) y c Let a be 152/40 - (3 - -4 - (5 + -2)). What is the closest to -1 in a, -3/4, -3? -3/4 Let z(c) = -c**3 + 3*c**2 + 3*c - 4. Let t be z(3). Let u be 1/2 + (-33)/42. What is the closest to 1/5 in u, t, -0.1? -0.1 Suppose -65*x + 61*x = -4*n - 32, -18 = -x + 3*n. What is the closest to 0.1 in 0.3, 1/3, 26/9, x? 0.3 Let x = -0.2108 + -59.5492. Let y = -60 - x. Let k = y - 3.76. What is the closest to 1 in -1, k, -37? -1 Let j = 15.479 + -15.079. What is the nearest to 3 in j, 2/173, -1/7, -5? j Let o = -3332 - -3330. Which is the nearest to -12? (a) o (b) 12 (c) -1 a Let x = -4.13 + 4. Let s = -4338 + 4339. Which is the nearest to s? (a) 0 (b) -1/4 (c) x a Let j be (684/(-84) - (1 - 9))*-7. What is the closest to -2 in 0.12, j, -6, 5? 0.12 Let o = 0 + 0.2. Let r = -2.98734 - -2.88734. Let i = 0 + 1. Which is the nearest to 0? (a) r (b)
{ "pile_set_name": "DM Mathematics" }
est common factor of i and p? 2 Let d = -128 + 165. Calculate the greatest common factor of d and 592. 37 Let f(u) = -7*u**2 + u + 8. Let a be f(-4). Let v = -36 - a. What is the highest common factor of 9 and v? 9 Let a(r) = r**2 - 3*r - 2. Let u be a(4). Let t = 6 + 16. What is the greatest common divisor of u and t? 2 Let y(z) = -22*z - 8. Let m be y(-6). Let i = m + -76. Calculate the highest common factor of i and 12. 12 Let b be (-9)/((-315)/(-1480))*(-14)/4. Calculate the greatest common factor of 12 and b. 4 Let g be (-3 + 3)/(0 + -2). Suppose g = -2*o + 41 + 47. Suppose 0 = 17*v - 0*v - 187. Calculate the highest common factor of v and o. 11 Let k(h) = h + 2. Suppose -3 = 5*f - d, 3*f + 2*d + 3*d - 15 = 0. Let l be k(f). What is the greatest common divisor of l and 22? 2 Let k be 2*(332 + (4 - (-28)/(-8))). Let u = k - 390. What is the greatest common divisor of 25 and u? 25 Let v(r) = r**2 - r - 4. Let s be v(3). Suppose 4*y - s = 2. Let t be 4 + (-6 - 1*(-3 - 0)). Calculate the greatest common factor of y and t. 1 Let p(v) = 3 - 1 - 5 - 5 - v. Let b be p(-12). What is the highest common divisor of b and 12? 4 Let h(c) = 61*c + 1677. Let x be h(-27). Let j(k) = -k**3 + 5*k**2 + k - 5. Let g be j(-5). What is the highest common factor of g and x? 30 Let o = 74 - 8. What is the greatest common factor of 1056 and o? 66 Let i(o) = o**2 - 2*o + 8. Let n be i(4). What is the greatest common factor of 56 and n? 8 Suppose -1 = -u + 47. Let s = 77 + -26. Let t = s - 35. What is the greatest common factor of u and t? 16 Let u = 123 + -48. Suppose -2*v + 10 = 6. Suppose o - v*o = -30. What is the greatest common factor of o and u? 15 Suppose -4*x - 64 = -4*c, 0 = 3*c + 2*c - x - 96. Calculate the greatest common divisor of 140 and c. 20 Suppose -q + 4 = -4. What is the highest common factor of q and 136? 8 Suppose 2*m = -2, -2*o + 241 - 19 = 2*m. Suppose -2582 + 2630 = 3*p. What is the greatest common divisor of o and p? 16 Suppose 0 = -2*m + 5*t + 28, 3*m + 3*t - 3 = 18. Let z(k) = 100*k**2 - k - 2. Let h be z(-1). What is the greatest common factor of m and h? 9 Suppose 0 = -477*g + 487*g - 600. What is the highest common factor of g and 540? 60 Suppose 0 = 43*f - 59*f + 2560. What is the highest common factor of f and 15? 5 Suppose 12*r = 17 + 7. What is the greatest common factor of 14 and r? 2 Suppose -42 = 3*u - 90. Suppose 6 + u = 2*x. What is the highest common divisor of x and 187? 11 Let r = 1450 + -1370. What is the greatest common divisor of r and 64? 16 Let h(s) = 3*s + 3. Let j be h(5). Let x = 48 + j. What is the greatest common divisor of 6 and x? 6 Let x(m) = m + 20. Let g be x(-15). Suppose -g*b - 2*j + 30 = -0*b, 2*j = 2*b - 26. Calculate the greatest common divisor of 20 and b. 4 Let k be (-56)/(-6) + 121/33 + -4. What is the greatest common factor of 153 and k? 9 Let g be 3/(-6)*8 - -25. Let o = 36 - g. What is the greatest common factor of 165 and o? 15 Suppose 124 - 4 = 5*q. Let f be (-13)/39 - (-19)/3. What is the greatest common divisor of q and f? 6 Let t = 11 + -7. Suppose -4 - t = 4*b. Let v be (b + 1)*(-6)/2. What is the highest common divisor of v and 21? 3 Let b(h) = 39*h**3 - 2*h**2 + h + 2. Let k be b(2). Suppose -k + 2460 = 2*n. Suppose -5*w + n = -84. What is the greatest common factor of w and 29? 29 Let r(l) = 3*l + 11. Let x be r(-6). Let i be 8*1 - (-7)/x. Calculate the highest common factor of i and 63. 7 Suppose 205 = 3*v + 2*p, 2*v - 6*v + 245 = -3*p. Calculate the highest common factor of v and 117. 13 Suppose -2*x = -4*f + 1 + 7, -2 = -f + 2*x. Let p(q) = 2*q**2 + f*q - 4 + 3*q**2 + 6*q - 3*q. Let n be p(3). Calculate the highest common divisor of 7 and n. 7 Suppose 2*b - o + 16 = 5*b, 3*b + 3*o - 12 = 0. Let q be (-49)/98*(-5)/(5/b). Calculate the greatest common factor of 24 and q. 3 Suppose 3*q - 4*c + 16 + 10 = 0, -3*c = -15. Let d(n) = -7*n + 8. Let b be d(q). What is the highest common divisor of 176 and b? 22 Let f be 3*92/10 - 100/(-250). Let v be -1*1 - (-309 + 0). What is the greatest common divisor of v and f? 28 Suppose 2*f + 5*i = -2*f + 238, -2 = i. Suppose 0 = -3*x + 88 + 191. What is the greatest common divisor of x and f? 31 Let x(v) = -v**3 - 6*v**2 + 5*v + 2. Let f be x(-7). What is the greatest common factor of f and 96? 16 Suppose -14 - 16 = -3*v. Let l(t) = 3*t + 65. Let w be l(5). What is the greatest common factor of v and w? 10 Let j(v) = -63*v - 6. Let s = 24 - 26. Let g be j(s). Suppose -4*w + 12 = 5*f - 63, 2*f - 6 = 0. Calculate the greatest common factor of w and g. 15 Let y be 5*6/(-4 + 1). Let d(m) = -m**3 - 11*m**2 - 11*m - 12. Let j be d(y). Let k be (-35)/j*(2 - 0). Calculate the greatest common divisor of 14 and k. 7 Let a(d) = d**2 - 21*d. Let n be a(19). Let m = -26 - n. Calculate the highest common factor of 72 and m. 12 Suppose 92 = 12*q - 28. Calculate the highest common divisor of 295 and q. 5 Let i(x) = -2*x**2 + 15*x - 9. Let t be i(6). Let c(b) = 3*b**2 + 4*b - 13. Let z be c(t). Calculate the greatest common factor of 38 and z. 38 Suppose 50 = 2*c - 0*c - b, 4*c - 100 = 4*b. Suppose 4*y - 3*s = 192, y + 3*s - c = -2*s. What is the highest common factor of 5 and y? 5 Let o(s) = -16*s**2 - 195*s + 18. Let i be o(-10). What is the highest common factor of 322 and i? 46 Suppose 4*p - 46 = -54, 2*q + p - 48 = 0. Calculate the highest common divisor of q and 10. 5 Let h be 6/24 + (-22)/(-8). Suppose 0 = -h*f - 2 - 1. Let o(d) = 10*d**2 + 2*d + 1. Let s be o(f). Calculate the greatest common factor of 18 and s. 9 Let v(q) = 3*q**3 - 7*q**2 + 3*q + 17. Let g be v(5). What is the greatest common factor of 87 and g? 29 Let v(c) = -5*c + 136. Let h be v(11). What is the greatest common factor of 54 and h? 27 Let v(q) = -5*q**2 - 10*q - 2. Let i be v(-7). Let l = -121 - i. Let c(g) = 9*g**3 - 2*g**2 + 1. Let a be c(1). Calculate the greatest common factor of l and a. 8 Suppose -u = -2*h - 40, -u + 2*u + 5*h = 5. Suppose -344 - 406 = -5*c - 4*t, 2*c - 3*t - 300 = 0. What is the highest common factor of u and c? 30 Let q be (11/9 - 1) + (-2493)/(-81). Let j = -24 + q. Calculate the greatest common factor of j and 7. 7 Let v = -1084 + 1085. What is the greatest common factor of 40 and v? 1 Suppose 21*x - 19*x - 116 = 0. Let r = -42 + x. Calculate the greatest common divisor of 32 and r. 16 Suppose -2*b = -5*t - 0*t - 37, 1 = -t. Suppose -540 = -b*s + 13*s. What is the greatest common divisor of 20 and s? 20 Let s = -68 - -106. Let g = s + -10. Suppose -14*i = -11*i - 126. Calculate the highest common divisor of i and g. 14 Let f be 259/(-91) - 4/26. Let a be (9/(-9))/(1/f + 0). Calculate the highest common divisor of a and 6. 3 Let c(a) = -a**2 + 8*a - 17. Let t be c(8). Let i = 3 - t. What is the highest common divisor of i and 50? 10 Suppose -14 = -4*y - 2*x, 7*x - 2*x = y - 31. What is the highest common divisor of y and 12? 6 Let h = -77 - -44. Let v = -20 - h. Let g(x) = -x**3 - 15*x**2 - 14*x + 39. Let j be g(-14). Calculate the highest common factor of v and j. 13 Let w(x) = x**3 - x**2 - x - 24. Let h be w(0). Let a = -26 - h. Let l be a - 12/(-2 + -1). What is the highest common divisor of 2 and l? 2 Suppose -2*y = -b + 1, -2*y + 0*y + 3 = 3*b. Suppose -3*h = -g - 7*h + 108, 5*g - 4*h - 420 = y. Calculate the greatest common factor of g and 8. 8 Let d be -7*(-3 - 95/(-35)). Suppose 0 = -2*s + 5*t - 15, -t + d*t = 2*s - 5. What is the highest common divisor of 20 and s? 5 Suppose -5*o - 50 = -4*o. Let g be 90/o*(-1 - 4). What is the highest common factor of g and 63? 9 Suppose -3*a + d = -51, -14*a + 17*a - 51 = -3*d. What is the greatest common factor of a and 1054? 17 Let c(g) = 23*g - 11. Let s be (-2)/1*10/(-4). Let n = 6 + s. Let b be c(n). What is the highest common factor of 22 and b? 22 Let z(r) = 5*r**3 + r**2 + 8*r - 14. Let n be z(3). What is the greatest common divisor of 28 and n? 14 Suppose -d + 7 = -0*d + 4*o, 5*o - 40 = 5*d. Let j = d + 31. Let z be -130*(-2 + 8/5). What is the greatest common divisor of j and z? 26 Let s = -216 + 288. Calculate the highest common divisor of 2448 and s. 72 Let j be 45 - (3*-3)/(-3). Let o be j/6 + 0/(-1). Suppose -21 = -2*k + 21. What is the greatest common divisor of k and o? 7 Suppose -2*o = -4*o - 6, 3*j -
{ "pile_set_name": "DM Mathematics" }
25 = y*s - 7*s. Calculate the highest common factor of 100 and s. 25 Let f(o) = -4 - 4*o + 9*o - 3 + 3*o + o**2. Let v be f(-11). What is the highest common factor of v and 182? 26 Let q(j) = j**3 + 6*j**2 + 6*j - 1. Let t be q(-5). Let z be (-40)/t*(-24)/(-10). Let l = -9 + 13. What is the highest common divisor of z and l? 4 Let u = -4 - -6. Let w be (u - 3)*1 - -122. What is the greatest common factor of w and 11? 11 Let c(g) = -2*g + 0 + 0 + 2*g**2 + 2*g**2. Let i be c(2). What is the greatest common factor of 6 and i? 6 Suppose 7*z = 3*z + 36. Calculate the highest common factor of z and 72. 9 Let x be 4 - 1 - 2/(-2). Suppose -2*q = 4*d - 20, d + 2*d = 4*q + x. Calculate the highest common divisor of 2 and q. 2 Let i(n) = -n + 15. Let q be i(9). What is the greatest common divisor of q and 114? 6 Suppose -4*r = 3*i - 484, 2*r - 3*r + 121 = 2*i. Let v = 3 + 0. Let b be v - (-3)/(12/32). What is the highest common divisor of b and r? 11 Suppose -12*i = -7*i - 15. Calculate the greatest common divisor of 1 and i. 1 Let b = 9 + -4. Suppose c = -2*g - g + 10, -14 = -c - b*g. Let a be 66/10 + c/10. Calculate the greatest common divisor of a and 77. 7 Suppose -1 - 15 = -4*s. Let y(u) = u**2 - 2*u - 5. Let d be y(s). Suppose -2*m = 3*a + d, 2*m = -m + 2*a + 28. Calculate the highest common divisor of m and 3. 3 Suppose v + 132 = 3*c, -2 = 2*v - 8. Let f(l) = 4*l**2 + 2. Let i be f(-2). What is the greatest common factor of c and i? 9 Suppose 0 = -6*f + 49 + 23. Calculate the highest common divisor of f and 108. 12 Let k be (-1)/(-3)*(-45)/(-3). Suppose k*g - 71 = 2*u, g - 17 = -0*g - u. Let h(b) = -4*b - 39. Let l be h(-21). What is the greatest common divisor of l and g? 15 Let m(n) = n + 4. Let o be m(0). Let d = -1 + o. Suppose -2*g + 43 = 5*j, j + 3*j + 30 = d*g. What is the highest common divisor of 154 and g? 14 Suppose 0 = -4*z - 3*n - 2, 4 = z - 5*n - 7. Calculate the highest common divisor of z and 3. 1 Suppose 4*h - 4 = 2*y - 6*y, 3*h = -4*y + 6. Calculate the highest common divisor of 81 and y. 3 Let m(l) = -15*l + 18. Let t be m(-15). What is the highest common divisor of 27 and t? 27 Let a(s) = 2*s**2 - 3*s + 1. Let m be a(2). Suppose 4*n - 3*p = -m, -4*p + 6 - 2 = 0. Let d be (n + 5)*(-4 - -5). What is the highest common divisor of 5 and d? 5 Let t be ((-6)/(-4))/((-6)/(-4)). Suppose 0 = -2*m + t - 5. Let d be ((-13)/m)/((-5)/(-10)). Calculate the highest common factor of 39 and d. 13 Suppose 5*o - 130 = -40. Let j be (-2 + -2)*o/(-8). Let f be 10/15*6 + 41/1. Calculate the highest common divisor of f and j. 9 Let b be (-84)/63 + (-2264)/(-6). Calculate the highest common divisor of 47 and b. 47 Suppose p + i = -2*p + 5, -3*i = p - 7. Let n be ((p - 3) + 3)*9. What is the highest common divisor of 36 and n? 9 Suppose 3*m = 45 - 9. What is the greatest common factor of m and 18? 6 Suppose r = -2 - 2. Let x be (-3)/6 - 14/r. Calculate the highest common divisor of 3 and x. 3 Let t(m) = -m**2 - 7*m - 7. Let g be t(-5). Suppose -6*b = 4*y - g*b - 24, -b + 1 = -y. What is the highest common divisor of y and 9? 3 Let v = 188 - 104. Calculate the highest common divisor of v and 12. 12 Suppose 4*k + 2*o - 25 = -3*o, -3*o = -3*k + 12. Suppose -5*w + 3*z + 20 = -0*z, w = -k*z - 24. Calculate the greatest common factor of 1 and w. 1 Let j(m) = -13*m**3 - 2*m - 1. Let s be j(-1). Let d be -2*(-6)/10*35. Calculate the greatest common factor of d and s. 14 Let p(c) = -51*c - 1. Let f be p(-1). Calculate the highest common divisor of 20 and f. 10 Let v(k) = 3*k + 55. Let d be v(-9). Let r be -14*(1 + 3/(-2)). Calculate the greatest common divisor of d and r. 7 Let o be (-12 - 2)*(-2)/4. Let i = -12 + 10. Let c be (-400)/(-8) + i + 1. What is the greatest common factor of o and c? 7 Let j(w) = 9*w**3 + 2*w**2 + 2*w - 3. Let a be j(1). What is the greatest common divisor of a and 10? 10 Let y = 38 + -2. Calculate the greatest common factor of 4 and y. 4 Let z = 1 + 7. What is the highest common divisor of 64 and z? 8 Let q = 251 + -151. Calculate the highest common divisor of 25 and q. 25 Let h = 20 - 10. Let s = -36 - -66. Calculate the highest common factor of h and s. 10 Let g = -12 + 24. Calculate the highest common factor of g and 4. 4 Suppose 0 = -f + 2 + 1. Let g = 21 - f. Let i(d) = -161*d**3 - 2*d - 1. Let b be i(-1). What is the highest common divisor of b and g? 18 Let k be 4/(-4 + 2) - -212. Suppose 2*l = d + 4*d + k, -l + 105 = -2*d. Suppose 3 = 3*m - l. Calculate the greatest common factor of m and 9. 9 Let n = -4 - -14. Suppose 0*o + 3*o - 4*r = 10, 2*o + r - 3 = 0. What is the highest common factor of n and o? 2 Let i be (-8)/40 + 8/(-10). Let p be 3 + (22*i)/(-2). What is the highest common factor of p and 14? 14 Let n be ((-24)/(-20))/(2/10). Suppose 5*k - r + 219 = r, k - 4*r = -33. Let w = 21 - k. Calculate the highest common factor of w and n. 6 Let y be (3/(-6))/(2/(-8)). Suppose -3*x = c, 14 = y*c - 2*x + x. Let s = 23 - c. Calculate the highest common factor of s and 17. 17 Let z = 148 - 90. What is the highest common divisor of z and 29? 29 Let d = 16 - 1. Let q = 23 + -8. Calculate the greatest common factor of q and d. 15 Suppose 6*s - 3 = 3*s. Let z be (2 + s)*(-8)/(-3). Suppose -9 = -3*a + 5*i - 2, 4*i = 5*a - 16. Calculate the highest common divisor of z and a. 4 Let a(g) = g**2 - 31*g + 117. Let b be a(27). Calculate the greatest common divisor of b and 21. 3 Let a(z) = -105*z + 2. Let c be a(-2). Suppose -2*r - 2*r + c = -4*o, -r - 5*o = -77. Let u be 6/(-33) + r/11. Calculate the highest common divisor of 45 and u. 5 Suppose -3*k = -2*q - 46, -5*k - 2*q + 30 = -20. Let l be 12/(-6*(-5)/270). Calculate the highest common factor of l and k. 12 Let x be -3*2*-28 + -3. What is the greatest common factor of x and 15? 15 Let j be 8*(-32)/(-12)*3. What is the highest common factor of 96 and j? 32 Let m = -30 - -147. Calculate the greatest common factor of 9 and m. 9 Let n be (-3)/((-6)/(-8)) - -2. Let x be (2 - 1) + 7 + n. Suppose -y + x = -3. Calculate the greatest common factor of y and 45. 9 Let u(c) = -c**3 - 3*c**2 + 4*c + 2. Let n be u(-5). Calculate the highest common divisor of 8 and n. 8 Let z(h) = 2*h**2 + 7*h - 6. Let c be z(-6). Suppose 3*r - 38 = -2. What is the greatest common factor of c and r? 12 Suppose -z = 2*z - 48. Let u be (0 - 176)/((-3)/3). Calculate the highest common divisor of u and z. 16 Let k = -27 + 12. Let x = 23 - k. Suppose 2*i - 6 = x. Calculate the highest common factor of 33 and i. 11 Suppose 0 = 4*a + 3*l - 159, -37*a - 57 = -38*a + 5*l. Let b be 28 + (0 - 0) + 0. Calculate the greatest common factor of b and a. 14 Let x = -516 + 788. Let d = x + -137. Calculate the greatest common divisor of d and 15. 15 Suppose 7*c - 6*c - 13 = 0. What is the greatest common factor of c and 91? 13 Let t(u) = 7*u**2 + 6*u + 2. Let i be t(-4). Calculate the highest common divisor of i and 10. 10 Let r be (198/9)/(2/7). What is the highest common divisor of 11 and r? 11 Suppose -r + 23 = 3. Let j(n) = n + 1. Let z be j(5). Let m be r/3 - (-2)/z. Calculate the highest common divisor of m and 35. 7 Suppose -3*y - 9 = 0, -y = 2*c - 6*y - 73. Suppose -3*i = 9, c = 4*o + 7*i - 2*i. Suppose 5*u - 387 = 108. What is the highest common factor of u and o? 11 Suppose 3*b - 346 - 182 = 0. Calculate the highest common factor of b and 16. 16 Suppose -4*t = -13 - 179. Calculate the greatest common factor of t and 36. 12 Suppose -k + 6 - 1 = 0. Let b = -27 + 52. What is the highest common factor of k and b? 5 Let k(d) = d + 16. Suppose -2*b - 20 = -48. Let z be k(b). What is the highest common divisor of z and 12? 6 Let t = 44 - 20. What is the greatest common factor of t and 312? 24 Let d = 46 + -22. Calculate the greatest common factor of 84 and d. 12 Suppose 0 = 2*f - 338 + 118. Suppose 5*p - 4*h - 100 = -41, -3*p = -h - 34. What is the highest common divisor of p and f? 11 Let i(a) = 4*a + 7. Let o be i(-5). Let p = o - -20. What is the greatest common divisor of p and 63? 7 Suppose 5*c + 6*i = 5*i + 1178, 5*c - 3*i = 1166. What is the greatest common divisor of c and 94? 47 Let o = -6 - -4. Let f = 39 + 3. Let l be f/4 + o/4. Calculate the highest common factor of l and 70. 10 Let o be 2/(-8) - (-469)/4. Suppos
{ "pile_set_name": "DM Mathematics" }
h - 2*h**2))*(9 - 52 - 8) to v + u*h**3 + a*h + l*h**2 and give v. -102 Express 48 + 68*t + 5*t - 120 + 151*t + 59 as a*t + b and give b. -13 Rearrange 2595*k + 0 + 1052*k + 816*k - 71*k + 0 + (0 - 4 + 3)*(4*k - 4*k - k) + 2*k - 4*k + 4*k to w*k + d and give w. 4395 Rearrange 113*k**2 - 3*k**3 - 4*k**4 + 105*k**2 - 215*k**2 + 2 to n + z*k**4 + u*k**2 + r*k**3 + a*k and give n. 2 Rearrange (3*w - 3 - 4*w - 3*w)*(13 - 9 - 8 + (1 + 4 + 4)*(1 - 2 + 0)) to the form z*w + g and give z. 52 Express 219*n + 3756*n + 9274*n as s*n + f and give s. 13249 Rearrange 20*t + 3*t**2 - 7*t**2 - 50*t - 3466 + 8*t**2 + 28*t to k*t + z + n*t**2 and give z. -3466 Express 16*a**3 - 13699*a + 6844*a + 6854*a - 1 - a**2 in the form p*a**3 + z + v*a**2 + n*a and give p. 16 Rearrange (8*h**2 + 0*h**2 - 4*h**2 - 9*h**2)*(111*h + 75*h - 32*h) to u*h**3 + m*h + p*h**2 + v and give p. 0 Express -173 - 251*w**2 - 2*w**3 - 377*w + 252*w**2 + 173 in the form g + p*w**2 + x*w**3 + v*w and give v. -377 Rearrange 6*q - 8*q - 236*q**2 + 526*q**2 + 3*q**3 - 6 - 263*q**2 to the form r*q**3 + s*q + l*q**2 + p and give r. 3 Rearrange -2*v**4 + 197 - 51*v - 45*v + 8 + 97*v + v**2 + 213 to y*v + s*v**2 + r + x*v**4 + n*v**3 and give r. 418 Rearrange -308*a - 307*a - 890 - 307*a + 1227*a - 302*a to the form g + h*a and give g. -890 Express 3*m**2 + 202 + 183 - 385 + 365*m + 37*m as d + g*m + b*m**2 and give b. 3 Express q**4 + 7*q - 3*q**3 - q**3 - 3 - 25*q + 3*q**2 + 4 + 5*q**3 in the form i*q**4 + r*q + d + m*q**3 + p*q**2 and give p. 3 Express -13338*g**2 + 9628*g**2 - 21249*g**2 - 5616*g**2 as s + j*g**2 + c*g and give j. -30575 Express 16418*l + 15150*l + 4041*l - 1132*l in the form g*l + d and give g. 34477 Rearrange -19 - 18*k**4 + 2*k**2 - k**2 + 5*k - 2*k**2 + 6 + 11 to the form i*k + a*k**4 + p + n*k**2 + r*k**3 and give n. -1 Express -4038*z + 21 + 58 - 79 in the form l + o*z and give o. -4038 Rearrange ((-4 + 1 + 2)*(-2 - 2 + 5) - 503 + 346 + 273)*(5 - 32*w + 60*w - 39*w) to r + o*w and give o. -1265 Rearrange -8*q - 2 + 4 + 4*q - 61*q**2 + 3*q**2 + 16 to f*q + b*q**2 + y and give y. 18 Rearrange (-1183 + 1183 - 1743*g**3)*((3*g + 0*g - 2*g)*(-3 + 2 + 3) + 2*g - 3*g - 5*g) to the form x + d*g**4 + t*g**3 + p*g**2 + o*g and give d. 6972 Express ((18 - 18 + 4*m)*(-3 + 0 + 1) + 0*m - 3*m + 2*m)*(-224 + 30 + 97) in the form x*m + b and give x. 873 Express 13449*a + 0*a**2 + 1 + 0*a**2 - 13457*a + 23*a**4 as k*a**4 + s*a**3 + w*a + n*a**2 + q and give q. 1 Rearrange (-2 + 2 - 2*g)*(-3*g + 2*g + 2*g)*(569*g + 252*g + 795*g + 58*g + 513*g) to the form r*g**3 + y*g + t*g**2 + z and give r. -4374 Rearrange 27*y**2 + 3*y**2 + 28*y**2 - 245 + 33*y**2 - 84*y**2 to u*y + o + v*y**2 and give o. -245 Express 4982 + 863*i - 4974 - 328*i + (0*i + i - 2*i)*(-3 + 2 + 5) in the form o*i + u and give o. 531 Express -304*p**2 - 267 + 5996*p + 303*p**2 + 267 as u + d*p + y*p**2 and give d. 5996 Rearrange (1831*n**2 - 11*n**3 - 1833*n**2 - 9*n**3)*(-13*n - 22*n - 52*n) to the form k*n**4 + z*n**3 + h*n + f*n**2 + a and give h. 0 Express -13445*n**2 + 4480*n**2 - 105*n + 4456*n**2 + 4474*n**2 + (3*n - 5 + 5)*(-3*n + 6*n - 2*n) in the form l*n**2 + z + c*n and give l. -32 Express -2*a**3 + 2*a**3 - 3*a**3 + (2*a - a - 4*a)*(-17*a**2 + 824*a**2 - 438*a**2) as c + y*a + s*a**3 + r*a**2 and give s. -1110 Express -30735*v**2 + 0*v + 33654*v**2 + 0*v in the form o + q*v + i*v**2 and give i. 2919 Express -77 - 85 + 18*u - u**2 - 9*u - 11*u + 18 as f + i*u**2 + a*u and give i. -1 Rearrange -4*g - 2*g + 5*g + (-g - 4*g + 6*g)*(-3 - 3 + 4) + (1 - 4 + 2)*(-1 - 2*g + 1) - 8 + 8 + 27*g - 2*g - 29 + 0*g - 12 to k*g + n and give n. -41 Express 1982 + 28*h - 3855 + 1940 in the form m*h + j and give j. 67 Express 17*m + 2*m**2 - 26*m - 2*m**4 - 44*m + 8*m**3 - 10*m**3 + 2 in the form b*m**3 + h*m**4 + k*m + d + l*m**2 and give k. -53 Rearrange (7 - 3 + 3)*(14 + 12 - 22)*(8*u - 15*u**2 - 8*u) to w*u + l*u**2 + k and give l. -420 Express 817 + 398*w**2 - 826 - 61*w**2 in the form m + x*w**2 + j*w and give x. 337 Rearrange -59 - 2*l**4 - 53 - 62 - 15*l + 173 + 4*l to o*l + p + m*l**2 + h*l**4 + s*l**3 and give p. -1 Express 10*n**2 - 5*n**2 + 17*n**4 - 114*n**4 + 2*n as h*n**3 + d + m*n**4 + t*n**2 + j*n and give j. 2 Express (-4*r + 0*r + 2*r + (3*r + 4*r + 10*r)*(203 + 145 + 8) - 1 - 2*r + 1)*(11 + 11*r**3 - 11) in the form l + o*r + p*r**2 + g*r**3 + b*r**4 and give b. 66528 Express 936*k**2 + 769*k**2 + 507*k**2 + 578*k**2 in the form j + o*k**2 + i*k and give o. 2790 Express -3*r**2 - 444*r**3 + 1 - 435*r**3 + 39*r + 34*r + 877*r**3 in the form p + f*r + c*r**2 + h*r**3 and give p. 1 Rearrange -2*u + 108 + 4*u**2 + u**2 - 20*u**3 - 3*u**2 - 4*u**2 - 110 to m*u**3 + v*u + n + p*u**2 and give p. -2 Rearrange (-7 - 16*c + 7)*(1959*c - 979*c - 982*c)*(0 + 1 - 3) to h + p*c**2 + w*c and give h. 0 Rearrange 480*v - 264*v - 1 - 293*v - 608*v - 1291*v to j + f*v and give f. -1976 Express -3027*b + 6098*b - 3071*b + 3*b**3 + 73*b**2 + 19 in the form c*b**2 + d*b + v*b**3 + j and give c. 73 Rearrange (1 + 1 - 1)*(-14 + 86 + 34)*(3*i + i - i)*(-183 + 183 - 21*i + (3 - 1 - 1)*(-3*i + 3*i - 2*i)) to o*i**2 + b*i + c and give o. -7314 Express -3*r**3 - 110*r**4 - 56*r - 112*r**4 + 4*r**3 + 220*r**4 as c*r**3 + s*r + y*r**2 + j*r**4 + h and give s. -56 Express 2 - 4*v**3 - 151*v**2 + 0*v**3 + 44 + 151*v**2 + v as o*v**3 + i + t*v + z*v**2 and give i. 46 Express 103146 - 103146 - 5914*w in the form x + o*w and give o. -5914 Rearrange 1 - 5*w**2 + 773*w + 3*w**2 - 269*w - 1 to j*w + r + q*w**2 and give q. -2 Express (-1 + y + 1)*(88 - 7 - 11) + (4 - 2 + 2 + 5 - 2 - 2 + (-4 + 3 - 1)*(4 - 2 - 3))*(2*y - y - 5*y) as i*y + k and give i. 42 Rearrange -8 - 2 - 13 + 23 - 4037*y**2 to the form p*y + f + g*y**2 and give g. -4037 Rearrange -10 + 3*w**3 - 941*w - 12*w**4 - 2*w**3 + 43 + 953*w to the form i*w**2 + h*w + x*w**4 + u + z*w**3 and give z. 1 Rearrange -1538*o**2 + 192*o**3 + 1515*o**2 - 129*o + 255*o - 126*o to k*o**2 + c*o + z + y*o**3 and give y. 192 Express (-7*h + 25*h + 5*h**2 - 27*h**2 + 70*h)*(-8 + 8 + 5*h) as y*h + w*h**2 + u + d*h**3 and give d. -110 Rearrange (7126*w + 6333*w + 1 - 4528*w)*(3 + 1 - 3) to the form i*w + s and give i. 8931 Express (-176*k - 85*k - 146*k)*(-1 - 2 + 4) + 2*k - 2*k - k + 3*k + 3*k - 3*k + (2 + 4 - 4)*(3*k + 0*k - 5*k) in the form d*k + u and give d. -409 Express 43*r + 37479*r**2 - 11*r - 37376*r**2 + 22*r - 2*r as z*r + q*r**2 + x and give q. 103 Express -4793*l**3 + 77 + 2399*l**3 + 2387*l**3 as j*l + n*l**2 + c*l**3 + b and give c. -7 Rearrange 3 - 6*r + 230*r**3 - 1 - 2*r**2 - 2 - 2*r**4 - 219*r**3 to i*r**2 + q*r**4 + h*r + f + w*r**3 and give w. 11 Rearrange -480*m**3 - m**4 + 3660*m**2 - 5*m + 3652*m**2 - 7310*m**2 - 3 + 1 to the form a*m**4 + i*m**3 + v*m**2 + b*m + z and give v. 2 Rearrange -1708555*m - 24*m**3 + 0 + 2 + 1708523*m + 2*m**2 to the form g*m + d*m**3 + v*m**2 + o and give d. -24 Express 89*o**4 + 3849*o**2 - 88*o**4 - 109*o + 111*o in the form z*o**4 + j*o**2 + k + h*o**3 + f*o and give z. 1 Rearrange 60*c**2 + 9 + 15960*c**4 - c**3 - 15964*c**4 - 2*c - 8 to the form t*c**4 + s*c**3 + y + i*c + q*c**2 and give y. 1 Express 31*o**4 + 3*o**3 + 3*o**3 - 5*o**3 - 8*o**4 + 2*o - 21*o**3 in the form u + k*o + f*o**4 + l*o**3 + t*o**2 and give f. 23 Rearrange 585*b**3 - 293*b**3 - 73*b**2 - 290*b**3 - 8 - 89*b**2 to q*b**2 + o*b + x + p*b**3 and give q. -162 Express -5*r + 3*r + 4*r + (-2*r + 0 + 0)*(36469 - 68611 + 33998) in the form c + q*r and give q. -3710 Express -4 + 5 - 16*g + 35*g**2 + 19*g in the form n*g**2 + w + a*g and give n. 35 Express (0 - 3*z + 0)*(0*z**3 - z**3 - z**3 + (-3280*z + 240*z**2 + 3280*z)*(3*z - 4 + 4)) as h*z**3 + q*z**2 + b*z**4 + t*z + d and give b. -2154 Express (3 - 16 - 3)*((5*s - s - 3*s)*(-2 - 1 + 2) + 169343*s - 84678*s + 7 - 84685*s) in the form k*s + l and give l. -112 Rearrange -2*i**2 - 59*i**4 + 0 - 1 + i**3 - 8 - 2*i + 17 - 1 to the form k*i**3 + o*i**4 + s*i**2 + r + d*i and give r. 7 Rearrange j + 4*j - 8 - 1194*j**2 + 1191*j**2 + 80 to the form d*j**2 + m*j + t and give d. -3 Rearrange 8578*u**2 + 0*u**3 - 50*u + 8583*u**2 + 3*u**3 - 17160*u**2 - 2 to the form t*u + h*u**2 + b*u**3 + k and give b. 3 Rearrange 185 - 8*u + 0*u +
{ "pile_set_name": "DM Mathematics" }
nd 8420956? 337 What is the highest common divisor of 157294346 and 33? 11 What is the greatest common factor of 309 and 48209459? 103 What is the greatest common factor of 3406 and 2585336? 26 What is the highest common divisor of 43296 and 22966273? 451 What is the highest common factor of 3277 and 327022? 113 Calculate the greatest common factor of 73987732 and 728. 364 What is the greatest common divisor of 2586352 and 289504? 1744 What is the highest common factor of 68198108 and 44? 44 Calculate the highest common divisor of 70 and 37717610. 70 Calculate the highest common factor of 12012 and 1135596. 924 What is the greatest common factor of 4453336 and 39680? 248 What is the greatest common divisor of 7931 and 288400? 721 Calculate the highest common divisor of 24002200 and 50. 50 What is the highest common divisor of 14784 and 61475568? 3696 Calculate the greatest common divisor of 1178311 and 2274. 379 Calculate the highest common divisor of 12903 and 131307. 759 Calculate the greatest common factor of 18789930 and 6. 6 What is the greatest common factor of 3228 and 123274092? 3228 Calculate the highest common divisor of 22205832 and 684321. 7689 Calculate the highest common divisor of 176 and 32694904. 88 Calculate the highest common factor of 23014256 and 144. 16 Calculate the greatest common factor of 6384 and 343056. 336 What is the greatest common factor of 5936 and 20724466? 14 What is the greatest common factor of 13273 and 250211? 13 Calculate the greatest common factor of 21321 and 2012517. 927 What is the greatest common divisor of 159 and 101058121? 53 Calculate the highest common divisor of 1383099 and 2892. 723 Calculate the greatest common factor of 2220 and 4276410. 30 What is the greatest common factor of 728 and 67962076? 364 Calculate the greatest common factor of 1271 and 12054629. 31 What is the greatest common factor of 456 and 58448826? 114 What is the highest common factor of 831670 and 142790? 1090 What is the greatest common factor of 213778 and 124778? 178 What is the highest common divisor of 7416 and 9023109? 309 What is the highest common factor of 178315 and 10830? 95 Calculate the greatest common factor of 11 and 23206755. 11 Calculate the greatest common factor of 6420 and 2463420. 60 Calculate the greatest common divisor of 1481289329 and 317. 317 What is the highest common divisor of 7275 and 508950? 75 What is the highest common divisor of 4134 and 7100834? 1378 What is the greatest common factor of 6969835 and 130? 5 What is the highest common divisor of 101696 and 2653630? 3178 What is the greatest common divisor of 58522 and 35873? 29 What is the highest common factor of 3967339 and 878393? 4163 Calculate the greatest common factor of 1072783 and 219076. 383 Calculate the highest common factor of 3486949 and 866. 433 What is the highest common divisor of 12408756 and 3503? 113 Calculate the greatest common factor of 32956308 and 11088. 2772 What is the greatest common divisor of 341 and 677455834? 341 Calculate the greatest common divisor of 2324 and 6361348. 28 Calculate the greatest common factor of 799752180 and 36. 12 What is the greatest common divisor of 6864 and 82431888? 528 What is the highest common divisor of 690 and 73416345? 345 What is the greatest common factor of 740410 and 1232? 22 What is the highest common factor of 6151296 and 24? 24 What is the highest common divisor of 7854057 and 54? 27 Calculate the greatest common factor of 36450 and 31485. 15 Calculate the greatest common divisor of 3270072 and 18096. 312 What is the greatest common divisor of 35 and 2500757? 7 What is the highest common factor of 320 and 35178760? 40 Calculate the greatest common factor of 914710 and 21340. 970 What is the highest common divisor of 3090 and 13237251? 309 What is the greatest common factor of 118879 and 11? 1 Calculate the greatest common divisor of 1914 and 25539778. 638 What is the highest common factor of 1000 and 72550750? 250 What is the highest common factor of 7 and 208121900? 7 What is the highest common divisor of 305 and 1033720? 5 What is the greatest common divisor of 27597907 and 23? 23 Calculate the greatest common divisor of 370510 and 28810. 670 What is the highest common factor of 6674 and 2229586? 94 What is the greatest common divisor of 4362190 and 17170? 1010 Calculate the greatest common factor of 8211028 and 196. 196 What is the highest common factor of 450977969 and 13? 13 What is the greatest common factor of 845424 and 184? 8 Calculate the highest common factor of 12179013 and 132132. 2541 What is the highest common divisor of 51409336 and 157? 157 Calculate the greatest common divisor of 587254 and 22034. 958 Calculate the highest common divisor of 80 and 97856120. 40 What is the greatest common factor of 283217176 and 7216? 3608 Calculate the highest common factor of 24684 and 152595366. 1122 Calculate the highest common factor of 2115840 and 1905. 15 What is the highest common factor of 611912 and 751510? 446 Calculate the highest common divisor of 2091 and 330009. 123 Calculate the highest common factor of 12320 and 184796920. 3080 Calculate the greatest common divisor of 1404954 and 224280. 1602 What is the greatest common divisor of 19608 and 35587? 19 Calculate the highest common divisor of 3549 and 10286185. 1183 What is the greatest common factor of 14 and 20110792? 2 What is the highest common factor of 1142 and 23492653? 571 Calculate the highest common divisor of 22525686 and 126. 18 What is the highest common factor of 864 and 15048864? 288 Calculate the highest common divisor of 8 and 94106936. 8 Calculate the highest common factor of 1608 and 16072764. 804 What is the highest common divisor of 54015080 and 5320? 280 Calculate the greatest common factor of 419354 and 25766. 26 Calculate the highest common divisor of 23219666 and 5141. 97 What is the greatest common factor of 6183 and 134194? 229 Calculate the greatest common divisor of 130 and 3622330. 10 Calculate the greatest common divisor of 199135 and 20. 5 What is the highest common factor of 28044 and 57472488? 1476 Calculate the highest common divisor of 1250 and 13423125. 625 Calculate the greatest common divisor of 25820269 and 1. 1 Calculate the highest common factor of 1547 and 74829053. 221 Calculate the greatest common divisor of 2265860 and 531840. 5540 What is the highest common divisor of 2990 and 427180? 130 What is the highest common divisor of 6144 and 1360608? 96 Calculate the greatest common divisor of 1907889 and 4058916. 2481 What is the greatest common factor of 833400 and 4356? 36 Calculate the greatest common factor of 10376140 and 140. 20 What is the highest common divisor of 18059424 and 8436? 228 Calculate the greatest common divisor of 2769 and 1109517. 213 Calculate the highest common divisor of 11917499 and 11. 11 What is the highest common factor of 1210988604 and 84? 84 What is the greatest common factor of 10215 and 137789? 227 Calculate the highest common divisor of 11360589 and 28868. 1031 Calculate the highest common divisor of 497588 and 31948. 28 Calculate the highest common divisor of 455545 and 47430. 155 What is the highest common factor of 21626 and 31438? 22 Calculate the highest common factor of 15822459 and 5364. 1341 Calculate the greatest common factor of 2627 and 1272101107. 2627 Calculate the highest common divisor of 4 and 2371172. 4 What is the greatest common factor of 167009051 and 33? 11 What is the greatest common divisor of 102033 and 279? 9 Calculate the greatest common divisor of 20243408 and 432. 16 What is the greatest common factor of 10724289 and 3? 3 Calculate the highest common divisor of 399703 and 2166. 19 What is the highest common factor of 7260 and 557145? 15 Calculate the greatest common factor of 275 and 5543125. 25 What is the greatest common factor of 46704 and 75206784? 6672 Calculate the highest common divisor of 3743200 and 800. 800 What is the highest common divisor of 9108 and 626428? 1012 Calculate the highest common divisor of 15476035 and 170. 85 Calculate the greatest common factor of 33996149 and 4582. 2291 What is the greatest common factor of 38019 and 4710423? 1311 Calculate the highest common factor of 11
{ "pile_set_name": "DM Mathematics" }
1314. Let v = -6/13 - b. What is the fourth biggest value in 2/5, -4, -1, v? -4 Let x = -2.45 - -276.45. Let r = x - 280. Which is the second smallest value? (a) 0 (b) r (c) 2 (d) -0.08 d Let k = 2 + 0. Let x be ((-3729)/(-12))/(-11)*(-11 + -1). Let t = -343 + x. What is the second smallest value in t, 11, -1/3, k? -1/3 Let u = -1.4825 - -1.4825. What is the third smallest value in -28/59, u, 2/7? 2/7 Let p = -0.6 + 0.1. Let v(h) = 208*h - 79895. Let g be v(384). Which is the smallest value? (a) g (b) p (c) 2/7 a Let o = -135 - -165. Let s = o + -32. Which is the third biggest value? (a) -1 (b) 0.2 (c) -1/3 (d) s a Let t = 0.123 - 0.323. Suppose 4*j + 15 = 3. Which is the biggest value? (a) -0.3 (b) -1 (c) j (d) t d Let v be 30/((-2)/(-9)*-9). Which is the third smallest value? (a) v (b) -2/9 (c) 4.7 c Let o = -3281 + 3361. What is the fourth smallest value in 2, 1/4, 3/8, o? o Let m be 60/15*(-538)/6. Let o = m + 359. Which is the fourth smallest value? (a) 4 (b) -3 (c) -1/4 (d) o a Let t be 2 + -1 - (-5 - -1). Let p = -55729/74316 + -2/18579. Which is the smallest value? (a) 13/3 (b) t (c) p (d) 1/2 c Let f = -16429 - -16432. Which is the biggest value? (a) -2/7 (b) 0.2 (c) 459/7 (d) f (e) 2/9 c Let r = 1.7 + -1.3. Let s = -25.941 - 0.059. Let w = s + 22. What is the biggest value in w, -0.4, r? r Let v = -45 + -56. Let z = v - -234. Let y = -128 + z. Which is the third biggest value? (a) 1 (b) y (c) 0 c Let i = 6/2003 + -2051/16024. Which is the fourth biggest value? (a) 5/7 (b) i (c) 5 (d) 2 b Let b = -18.28 + 18. Let o = -125067.5 - -125067. What is the smallest value in 5, o, b? o Let p = -4743/232 - -582/29. Which is the third smallest value? (a) -1 (b) 6 (c) p b Let d = -8 - -17.2. Let s = -138 + 128.7. Let c = d + s. What is the second smallest value in c, 2, 1.2? 1.2 Let p = 14152 + -28303/2. Let k = 4.88 + 0.12. Which is the second smallest value? (a) p (b) k (c) 0.3 (d) -4 c Let o = -0.73 + -7.07. Let a = o + -5.7. Let q = a + 13. What is the third smallest value in q, -1/8, -0.2? -1/8 Let q = 127 - 129. Let z = -3.62 - 0.48. Let y = 0.1 + z. Which is the biggest value? (a) -8/3 (b) q (c) y (d) -5 b Let h = 10/23 - 44/207. Suppose -11 = -3*w + 2*p, -337 + 323 = -4*w + 3*p. Which is the third biggest value? (a) -8 (b) -4 (c) w (d) h b Let i = 3.26 + -2.46. Let h(y) = -8*y + 34. Let x be h(4). What is the second biggest value in x, -2, 7, i? x Let x = -215.1 + 221.1. What is the second biggest value in x, 3, 1/35? 3 Let d be (-357)/(-238) + -1*(-37)/(-22). Which is the biggest value? (a) -8 (b) 0.2 (c) d b Suppose -3*o + 2 = 4*l, -116*l + 121*l - 5 = -5*o. What is the biggest value in -64, 4, -2/7, o? 4 Let d = -4.939 - -29.939. Which is the second smallest value? (a) 0 (b) 1/6 (c) d b Let i be (-814)/(-333) - (-8)/(-18). Which is the smallest value? (a) 2/7 (b) -0.4 (c) i (d) 3/4 b Let d = -1797 - -1802. What is the fourth smallest value in -4, d, -1, 2/9, 1? 1 Let o = 178.4775 + 0.1225. Let h = o - 179. Which is the biggest value? (a) 2/109 (b) 3 (c) h b Suppose 16*l = 68*l - 52520. Suppose -7*v - l = 3*v. Which is the third biggest value? (a) -0.5 (b) -1 (c) v c Let i = -16.34 - -14.84. Which is the second biggest value? (a) i (b) -3 (c) -2/7 a Let w = 280.32 - -0.68. Let k = 285 - w. Which is the third smallest value? (a) -3 (b) k (c) 1.27 b Let s be (6264/(-17226))/((-28)/(-22)). Let w = 9559/19 + -503. Which is the second biggest value? (a) -4 (b) w (c) 3 (d) s b Let t be (3/9)/((-1)/31). Which is the second smallest value? (a) t (b) -5 (c) -5/6 (d) 0 b Suppose 4*v + 3*l - 14 = 0, v + 3*l = -0*v + 8. Let i(w) = -w**3 + w**2 + w. Let q be i(v). Which is the third biggest value? (a) q (b) -2/7 (c) 13 a Let q = 4084 + -4083.5. Which is the biggest value? (a) q (b) 5 (c) 4 (d) -2 b Let l = -0.03 - -3.03. Let a = 0.592 - 0.492. What is the second smallest value in a, l, -0.4? a Let q = -523.9 + 524. Which is the smallest value? (a) 0.2 (b) 2/2129 (c) q b Let v be 18/(-4) + (11 + -107)/(-32). Which is the smallest value? (a) -105 (b) v (c) -0.3 a Suppose i + 6 + 6 = 0. Suppose 2*w - u = -10, 3*w - 2418 = 5*u - 2454. Which is the third biggest value? (a) 1/3 (b) w (c) i c Let s = -10005 - -10001. What is the third smallest value in -5, 13/5, s, -3? -3 Let d = -77 - -74.1. Let i = -7.9 - d. Let q = -15 - -11. Which is the third biggest value? (a) 7 (b) i (c) q b Let x = -0.2069 + 30.2069. Which is the fourth smallest value? (a) x (b) -1 (c) -21 (d) -5 a Suppose -6*x = 12 - 90. Suppose -x*p + 10*p - 9 = 0. Let i be 3 + p/((-9)/6) + -1. Which is the second smallest value? (a) -0.6 (b) -5 (c) i a Let n = 0.28849 + -0.18849. What is the fourth smallest value in -3/4, 2/13, n, -0.03, -4.3? n Let z = -4.8 + 1.8. Let f be 76/(-19) - -2 - (-1 + -6). What is the biggest value in f, z, -0.9? f Let g = -46.01 - -50.943. Let y = g + 0.067. Which is the third smallest value? (a) -3 (b) 13 (c) y (d) 1 c Let m = -4235 + 4234.6. Which is the fourth biggest value? (a) -2 (b) -0.3 (c) -69 (d) m c Suppose 0 = 4*s, 3*y - 4*s + 876 + 903 = 0. Let h = y + 17. Let j be 4/22 + (h/572)/3. What is the fourth biggest value in j, -4/7, 0.5, -0.1? -4/7 Let n be 1 + 2 + 42/(-9). Let p be (4047/150)/19 + 2/25. Let o = 65/318 + -2/53. What is the third biggest value in n, o, p, 2? o Let o = -7249/3 + 2415. What is the third biggest value in -1, 2/7, o, 1831? -1 Let r be (140/(-30) - -11) + (-17 + -3)/4. Which is the second smallest value? (a) r (b) -0.067 (c) -5 (d) -0.5 d Let u = 28247 - 28252. What is the biggest value in 60, u, 1/3, 6, 1/2? 60 Let q(n) = -n**3 + 8*n**2 + 2*n - 12. Let v be q(8). Let w = -1.2 - -1.9. Let t = -955/3 - -320. What is the fourth smallest value in t, 2/3, w, v? v Let p be (-33)/(-44) + (-6)/8. Suppose -10*k + 9*k - 19 = p. Let d = 16 + k. What is the fourth biggest value in 0.7, 5, d, 0? d Let h = 133.378 + -224.378. Let o = 224/3 - 74. Which is the biggest value? (a) 5 (b) o (c) h a Let h = -23216 + 23218. Which is the smallest value? (a) h (b) 1247 (c) -4/7 c Let z = 5236 + -5238. Let g = -2.85 - 0.15. Let k = 0.3 - -2.7. Which is the second smallest value? (a) z (b) g (c) k a Let f be ((-6)/14)/(-3) - ((-2960)/(-8400))/37. Let m(i) = 3*i + 1. Let k be m(-1). Which is the smallest value? (a) -0.4 (b) 5/4 (c) k (d) f c Let f = 27111 + -515141/19. What is the second smallest value in f, -5, -1? f Let u = 76 - 75.9708. Let h = u + -0.1292. Which is the second smallest value? (a) 79 (b) h (c) 0.5 c Let n = 0.15132 + 131.44868. Which is the fourth smallest value? (a) 3 (b) -3 (c) 2/5 (d) n d Suppose 3*q - 8*q - 11 = -z, 4*z = 4*q - 20. Let w be (z/6)/(7/(84/9)). Let a be 3/(35/(-10) + 1/w). What is the third smallest value in 11, a, -2? 11 Let n = 32.191 - 32.186. What is the second smallest value in 0.3, 4, -2.1, n? n Let g = 4609/9146 - 18/4573. What is the smallest value in 5, g, -0.0657? -0.0657 Let u = 4.32 + -4.72. Let f = -488 + 487. Which is the second smallest value? (a) f (b) u (c) 2/15 b Suppose -u = -3*n + 3, -3 = -3*n - 0. Suppose -20*y + 14*y + 6 = 0. Let h(a) = 4*a - 6. Let r be h(y). What is the third biggest value in r, u, 0.4, -2/15? -2/15 Suppose -8*r + 4 = -12*r, 4*y + 8 = -4*r. What is the second smallest value in y, 1/111, 3? 1/111 Let b = 5277.958 + -5273. Let x = b - -0.042. Let n = 5.2 + -5. What is the biggest value in x, 13, n? 13 Let s = 1.18 + -1.7. Let p = 40 + -39.08. Let g = s + p. Which is the second biggest value? (a) 0.2 (b) g (c) -0.14 a Let p be -1*(10/75 - 1166/(-30)). Let z be (22/3)/(7 + 286/p). Which is the third biggest value? (a) -0.4 (b) 1 (c) z c Let w = 49 + 475. Let p = w + -528. Let o = 7 + -7.11. Which is the biggest value? (a) -5 (b) o (c) p (d) -0.2 b Suppose l - 103*l + 510 = 0. Let u = -1 + -3. Which is the fourth smallest value? (a) l (b) 2/9 (c) u (d) 2/15 a Let i = 24.14 - 19.14. Which is the fourth smallest value? (a) 0.06 (b) -34 (c) i (d) 1 (e) 3 e Suppose 2*f - 77 = -43. Suppose 19 = -3*j + 4*p, 12*p + 20 = -3*j + f*p. Which is the third biggest value? (a) -3 (b) j (c) 4 b Let m = 1464 - 8813/6. Let d = 305.2 + -
{ "pile_set_name": "DM Mathematics" }
z = -0.139981 + w. What is z rounded to 5 dps? 0.00002 Let h = -5.7 + 6. What is h rounded to 1 decimal place? 0.3 Let d = 0.031 - 32.031. Let q = d + 37.9. Round q to zero decimal places. 6 Let n = 5.34 + -3.81. Round n to one decimal place. 1.5 Let x = -1193664767 + 1193686471.19986. Let w = -21703 + x. Let c = w - 1.2. Round c to four decimal places. -0.0001 Let c be (-1)/(-5) + (-6299)/(-5). Round c to the nearest one hundred. 1300 Let k(f) = 50*f**3 - 6*f**2 + f + 5. Suppose 3*g - 3*m = -27, m + 17 = -5*g - m. Let p be k(g). What is p rounded to the nearest 1000? -6000 Let p(n) = 18*n**3 - 6*n**2 + n - 5. Let j(t) = -t**2 + 7*t - 6. Let x be j(6). Let m be (-5)/(x/(-2) + -1). Let q be p(m). Round q to the nearest one thousand. 2000 Let y = -5 + 2. Let j be 109/((3/(-53))/y). Let x = j + 1323. What is x rounded to the nearest 1000? 7000 Let v = 1.72402 + 7.08288. Let p = v - 8.8. Round p to three dps. 0.007 Let c = -10 + 14. Suppose 2*j = -m + 5402, m - 3*j - 26997 = -c*m. Round m to the nearest one thousand. 5000 Suppose 5*q - 5 - 5 = 0. Suppose -q*p - 1770000 = p. What is p rounded to the nearest one hundred thousand? -600000 Let w(h) = h**3 + 5*h**2 + 3*h + 7. Let j be w(-4). Suppose -j*x = -8*x - 12000. What is x rounded to the nearest 10000? 0 Suppose -n = 46510 + 433490. Round n to the nearest 100000. -500000 Let p = 398.4 + -344. Round p to the nearest 10. 50 Let r = -0.18 - -0.572. Let o = -0.25 - -0.6. Let z = o - r. Round z to two decimal places. -0.04 Let b = 8651175 - 8650855.52948. Let v = -319.2 + b. Let l = v - 0.27. Round l to four decimal places. 0.0005 Let l = -20.9 + 219.9. Let w = -199.0182 + l. Round w to 3 dps. -0.018 Let w = -963.441 + 963. Let v = 0.41 + w. Round v to two dps. -0.03 Let c = 10.06 - 10. Let w = -40 - -39.943. Let t = w + c. What is t rounded to three dps? 0.003 Let r = -156.000000101 - -156. What is r rounded to 7 dps? -0.0000001 Let g = 88.8 - -2.2. Let t = g + -90.09. What is t rounded to one dp? 0.9 Let q be (-60)/45 - (-274)/3. What is q rounded to the nearest 10? 90 Suppose 12 = 3*z - 7*z. Let a be 10622/z*(1 - -2). Let x = a + 5322. What is x rounded to the nearest 1000? -5000 Let p be 8/10*(-5)/(-2). Suppose 4*k + 16 = 0, p*k - 6*k - 38 = h. Round h to the nearest 10. -20 Let x be (1016/12 - 6/2)*-1200. What is x rounded to the nearest 10000? -100000 Let h = -96.90073 + 0.12073. Let v = h - -96. Round v to one decimal place. -0.8 Let o = -157486503.0000068 + 157486530. Let j = o + -27. What is j rounded to six decimal places? -0.000007 Let z = 0.061 + -0.521. What is z rounded to 1 dp? -0.5 Let a = -2.3 + -24.2. What is a rounded to the nearest integer? -27 Let x = 410 - 604. Let y = 217.871 + -23.081. Let o = x + y. What is o rounded to 1 dp? 0.8 Suppose -1 - 29 = -m. Round m to the nearest 10. 30 Let b(f) = 19535*f**3 - 9*f**2 - 10*f + 6. Let l be b(7). Round l to the nearest one million. 7000000 Let y = -2.00003 + 2. Round y to 5 decimal places. -0.00003 Let a = -0.21 - -0.12. Let m = 10114 - 10113.910128. Let s = a + m. What is s rounded to five decimal places? -0.00013 Let h = 1.26 + -0.16. Let w = 0.3 - h. Let n = 0.79998 + w. Round n to four decimal places. 0 Let f(m) = -15*m**3 + 2*m**2 - m + 8. Let y be f(6). Let z = 1834 - y. What is z rounded to the nearest 1000? 5000 Let l = -0.16745 - -0.0674. Let p = 0.1 + l. Round p to five dps. -0.00005 Let b = -94 + 93.9963. What is b rounded to 3 decimal places? -0.004 Let d = 66 - 60.8. Let o = 109333.4799862 - 109338.68. Let p = o + d. What is p rounded to six dps? -0.000014 Let h = 0.4 - 7.4. Let r = -6.999896 - h. Round r to 5 dps. 0.0001 Let a(h) be the third derivative of -h**5/60 - h**4/8 - h**3/3 + 2*h**2. Let l be a(-2). Suppose 8400000 = -l*i + 4*i. Round i to the nearest 1000000. 2000000 Let v(o) = -9*o**3 - 3*o**2 + 4*o - 4. Let s be v(-4). Let c = -2785 - -4003. Let r = c - s. What is r rounded to the nearest 100? 700 Let p = 0.21963 + -101.20663. Let r = p + -0.013. Let g = r - -115.7. Round g to 0 decimal places. 15 Suppose 2 + 1 = g. Suppose -5*k - 53 = u - 3*u, -5*u - 16 = 4*k. Let w be 75000*g/(k/32). What is w rounded to the nearest 100000? -800000 Let y = -3 + 4. Let t be -1 + y + 2 - 2300002. Round t to the nearest one million. -2000000 Suppose 5*b = -7 + 17. Let w(l) = -508018*l - 1. Let s be w(b). Let j = s + 576037. What is j rounded to the nearest 100000? -400000 Let d = -0.06 - -73.06. Let a = d + -73.00000094. Round a to 7 dps. -0.0000009 Let n = -1.77 - -1.7. Let y = -0.07 - n. Let u = -0.035 + y. What is u rounded to 2 decimal places? -0.04 Suppose 2 = c, 9 = 4*u - 3*c - 1. Suppose p = 4*t + 97, -6 = -t - 5*p - u. What is t rounded to the nearest ten? -20 Let t = 11 - 6. Let d = t + -68. What is d rounded to the nearest ten? -60 Let r = 9.36 - 9. Let k = 0.36 + r. What is k rounded to one dp? 0.7 Let k = 1399 + -1547.94. Let t = k + 151. What is t rounded to one dp? 2.1 Let w = 82459.69877 - 82469. Let o = 9.3 + w. Round o to four decimal places. -0.0012 Let r = -85 - -68.8. Let g = r - -13. Round g to the nearest integer. -3 Let w = 15 - 3. Let k be 138602/9 - w/54. Round k to the nearest one thousand. 15000 Let u = 1.29 - 1.290093. Round u to 5 dps. -0.00009 Let t = 234865 + 28135. Round t to the nearest one hundred thousand. 300000 Let s(r) = -6*r**2 - 18*r - 56. Let d be s(-13). What is d rounded to the nearest one hundred? -800 Let l = -297 - 132. Let n = l + 428.781. Round n to two decimal places. -0.22 Let r be (8/(-4) - 0) + 0. Let c(x) = -6992*x**2 - 175737*x**2 + 40229*x**2. Let n be c(r). What is n rounded to the nearest 100000? -600000 Let k = 2.91 + 0.09. Let s = -3.3 + k. Let l = s + 0.29999955. Round l to seven decimal places. -0.0000005 Let o = 2.8 + -3.02. Let r = o + 0.220026. Round r to 5 decimal places. 0.00003 Let v = -5 + 10. Let p = v - 5.2. Let h = p - -0.1954. What is h rounded to 3 decimal places? -0.005 Let s = -2681172.200148 + 2681258.2. Let m = s + -86. What is m rounded to 5 decimal places? -0.00015 Suppose -s + b - 6 = 0, -6 = 3*s + 2*b + 7. Let c be s/15 - 262/6. What is c rounded to the nearest 10? -40 Let f = 2.1 - 2.1000078. What is f rounded to six dps? -0.000008 Let z = 0.04 - 2.04. Let u = z - 0. Let w = -1.998 - u. Round w to 3 dps. 0.002 Suppose -3*o + 1880000 = -11*o. What is o rounded to the nearest ten thousand? -240000 Let m = -47519 - 29481. Round m to the nearest 10000. -80000 Let k = 893.262 - 894. What is k rounded to two dps? -0.74 Let w = -14 + 26. Let x be (w/(-5))/((-3)/(-15)). Round x to the nearest ten. -10 Suppose 184 = 2*v - 256. What is v rounded to the nearest 100? 200 Let y = -0.1 - -0.1. Let x = -0.64 + 0.2. Let c = y - x. What is c rounded to 1 dp? 0.4 Let v = 17.6000184 - 17.6. Round v to six decimal places. 0.000018 Let q = -208.0000718 + 208. Round q to 5 decimal places. -0.00007 Let t be (-4)/(-10) - 12/(-20). Let q be (t*-25)/((-2)/40). What is q rounded to the nearest 100? 500 Suppose -5*t = -3*v + 66 + 116, 4 = -t. Suppose 2*m - m = v. Suppose -3*h + 2604 = m. Round h to the nearest 100. 900 Suppose -18*f + 24*f + 1104000 = 0. What is f rounded to the nearest 100000? -200000 Let y = -6278 + 9434. Suppose -256 = -5*s - y. Round s to the nearest one hundred. -600 Let m = 6.3988 - 6.4. Round m to three dps. -0.001 Let n(w) = -11119*w**3 + 4*w**2 - 11*w + 6. Let y be n(-11). What is y rounded to the nearest 1000000? 15000000 Let i = 1.24 - 1.24238. What is i rounded to four dps? -0.0024 Let j = -68 + 10. Let t = -41 - j. Let p = -14.8 + t. What is p rounded to the nearest integer? 2 Let h be -8*(-38700003)/(-18) + 60/45. Round h to the nearest one million. -17000000 Let q = -18 + 18.8. Let d = q + -0.87. Round d to one dp. -0.1 Let j = 2316369203176 - 2316365255120.000006. Let b = -3948052 + j. Let u = -4 + b. Round u to six dps. -0.000006 Let f(s) = -s**2 - 7*s - 6. Let k be (8/6)/(2/(-6)). Let x be f(k). Let t be (-4024)/6 - (-4)/x. What is t rounded to the nearest 100? -700 Let s = -1159016 - -683773. Let d = s - -475242.9000005. Let r = d - -0.1. What is r rounded to six decimal places? 0.000001 Let u = -4.699981 - -4.7. What is u rounded to 5 dps? 0.00002 Suppose 46509 = -5*x + 3*o, 3*x - 9306 = 4*x - 2*o. Round x to the nearest one thousa
{ "pile_set_name": "DM Mathematics" }
he first derivative of 0*g**2 + 0*g**3 + 6*g + 11/5*g**b + 0*g**4 - 15. Find the first derivative of o(s) wrt s. 44*s**3 Suppose 40*n = 38*n + 30. Let v be 15/9 - (-5)/n. What is the derivative of 2956*k - 2956*k + 27*k**v - 44 wrt k? 54*k Find the second derivative of -210962*c**2 - 1712*c + 9637*c**3 + 210962*c**2 wrt c. 57822*c Let o be 608 - 6/30*15. Find the first derivative of o + 200*t - 60*t + 389 - 783 wrt t. 140 Let x be (-6)/(-27) - (-16)/9. Differentiate j**2 + x + 43*j - 3*j**2 + 3*j**2 - 10 wrt j. 2*j + 43 Let o(x) be the third derivative of 0 + 63*x**2 - 11/15*x**5 + 0*x**3 - 7/15*x**6 + 0*x**4 + 0*x. Find the third derivative of o(d) wrt d. -336 Let x be (-5532)/(-16)*(-48)/(-18). Find the third derivative of -37*r**2 - 9*r**3 + 7*r**4 + x - 922 wrt r. 168*r - 54 What is the first derivative of -25*c - 712*c**4 - 31*c + 78*c - 22*c + 234 wrt c? -2848*c**3 Let a = 30 - 28. Let g(w) be the first derivative of 16*w - 14*w + 34*w - 10 + 2*w**a. What is the first derivative of g(z) wrt z? 4 Suppose w = 2*a + 22, 2*a - 36 = -4*w - 3*a. What is the second derivative of 1 - 627*b + 623*b + 8 - w*b**5 wrt b? -280*b**3 Find the third derivative of 1561*s**3 + 7*s**2 + 27 + 689*s**3 - 534*s**3 + 26 wrt s. 10296 Let n(l) = 60*l + 10. Let y(c) = 58*c + 10. Let t = 498 + -504. Let p(u) = t*y(u) + 5*n(u). Find the first derivative of p(r) wrt r. -48 Let g(c) be the third derivative of 287*c**4/12 - 196*c**3 + 1088*c**2 + 1. Differentiate g(t) with respect to t. 574 Let z(h) be the third derivative of -2749*h**5/30 - h**4/8 + 137*h**3/6 + h**2 - 429*h - 1. What is the second derivative of z(p) wrt p? -10996 What is the third derivative of -11766*v**3 + 190*v**2 + 10451*v**3 + 0*v - 2*v + 4*v wrt v? -7890 Let q(z) be the second derivative of -17/3*z**3 + 0*z**2 + 37 + z - 5/2*z**5 + 1/6*z**4. What is the second derivative of q(f) wrt f? -300*f + 4 Find the third derivative of 3*s**4 - 10483*s**2 - 10066*s - 1310*s**3 + 10066*s wrt s. 72*s - 7860 Let x(t) = t**4 + t**2 + 1. Let b(n) = 44863*n**4 - 6 - 44953*n**4 - 15*n - 6*n**2 - 17*n. Let o(h) = -b(h) - 6*x(h). Find the second derivative of o(r) wrt r. 1008*r**2 What is the second derivative of -1753*q - q**4 - 796 - 23*q**3 + 1482 - 685 + 30*q**5 wrt q? 600*q**3 - 12*q**2 - 138*q Let a(l) be the second derivative of -133/12*l**4 + 2*l + 9 + 0*l**3 + 112*l**2. Differentiate a(m) wrt m. -266*m Let c = -134 + 138. What is the third derivative of 6*p + 56*p**4 - 5*p**2 + p**5 - 6*p - 51*p**c - 6 wrt p? 60*p**2 + 120*p Let j be ((16/(-5))/(8/(-20)))/1. Differentiate 18*y + 14*y + 63 + j*y**2 + 34 - 34*y wrt y. 16*y - 2 Find the second derivative of -7*j**2 + 5*j - 19*j**3 + 217*j + 50*j**3 + 289*j - 43*j wrt j. 186*j - 14 Let x = -412 - -416. Find the first derivative of 172 + 183*h**4 - 11*h**4 - 25*h**4 + 78*h**x + 138 wrt h. 900*h**3 Suppose -69*b + 29 = -108 - 1. Let r be (12/(-10))/(1/(-5)). What is the third derivative of -15*j**r - 6*j**6 + 8*j**b + 7*j**6 + j**6 wrt j? -1560*j**3 Suppose 18*i - 53*i = 7*i - 84. Let h(l) be the second derivative of 0 + 5*l - 11/6*l**3 + 0*l**i - 25/12*l**4. What is the second derivative of h(d) wrt d? -50 Let o(i) = -7*i + 136. Let m be o(19). Find the second derivative of 3*f**2 + 11 + 40*f + 95*f**3 - 39*f - 3*f**2 + 69*f**m wrt f. 984*f Find the second derivative of 75*n**5 + 775*n + 158*n**5 + 1011*n**5 wrt n. 24880*n**3 Suppose -2*m = 2, 0 = -4*g - 2*m + 6*m - 20. Let z = g + 18. What is the second derivative of -z*p + 3*p - 4*p - 13*p**5 wrt p? -260*p**3 What is the first derivative of -290*b**2 - 330*b**2 + 54*b**2 - 782*b**2 + 1449 wrt b? -2696*b Let q be ((-72)/60)/((-2)/155). Find the second derivative of -202*m - 15*m**4 - 55*m**4 - 38*m**4 + q*m wrt m. -1296*m**2 Suppose 0 = 2*o + 4, 22 - 28 = -5*j - 2*o. Differentiate -8*l + 2*l**2 - 2*l**2 + 156 - 8*l**j + 4*l**2 - 5*l**2 wrt l. -18*l - 8 Let u(v) = v**2 + 8*v - 25. Let j be u(-15). Let p be j/36 + -2 + 88/9. Find the second derivative of -p*r + 2*r**2 + 7*r - 4*r**2 wrt r. -4 Let c(i) = 3*i**2 - 13*i - 6. Suppose -56 = -q - 50. Let a be c(q). What is the third derivative of a*r**2 + 12*r**2 + 4*r**6 + 0*r**2 wrt r? 480*r**3 Let v(c) = 75*c**3 + 19*c**2 - 807. Let u(p) = -152*p**3 - 41*p**2 + 1613. Let d(b) = -6*u(b) - 13*v(b). What is the third derivative of d(r) wrt r? -378 Find the third derivative of -24*u + 2266*u**5 + 1346*u**5 + 36*u + 3*u**2 + 39*u wrt u. 216720*u**2 Let n(v) be the third derivative of -29*v**6/40 + v**4/24 + 677*v**3/3 + 56*v**2 + 3*v. Differentiate n(k) with respect to k. -261*k**2 + 1 Let q(z) be the first derivative of 503*z**5/5 + 7*z**2/2 + 21*z + 197. What is the second derivative of q(k) wrt k? 6036*k**2 Suppose 493 = 7*j - 732. Differentiate 382*b - j*b - 110 - 92*b wrt b. 115 Let v(u) = -4034*u**3 + 21*u**2 + 22*u + 3. Let f(h) = -8072*h**3 + 42*h**2 + 45*h + 5. Let p(c) = -3*f(c) + 5*v(c). What is the third derivative of p(y) wrt y? 24276 Let z(h) be the first derivative of 21*h**3 + 0*h - 140 + 2/5*h**5 - h**2 - 43/6*h**6 + 0*h**4. What is the third derivative of z(i) wrt i? -2580*i**2 + 48*i Let h(l) = 8721*l**2 - 33*l + 125. Let y(t) = t**2 + t + 31. Let i(n) = h(n) - 4*y(n). Find the second derivative of i(z) wrt z. 17434 Let u(h) = 3 + 15 + 2*h + 6*h**3 + 23 + h + 3*h**2. Let p(t) = t**2 - t + 1. Let j(f) = -3*p(f) + u(f). What is the first derivative of j(y) wrt y? 18*y**2 + 6 Let i(y) be the third derivative of 1849*y**9/252 + 2221*y**5/15 - 21*y**2 - 11. What is the third derivative of i(a) wrt a? 443760*a**3 Let s(y) be the third derivative of 13*y**7/30 - y**6/12 + 209*y**5/30 - y**4/6 - 736*y**2 - 2*y. What is the third derivative of s(d) wrt d? 2184*d - 60 Let x(b) be the third derivative of -2489*b**5/60 - 1163*b**3/3 - 1154*b**2 - 2*b. Differentiate x(t) with respect to t. -4978*t Let r(x) be the second derivative of x**7/42 - 53*x**5/4 + 47*x**4/12 + 21*x**2 - 3225*x + 1. Find the third derivative of r(t) wrt t. 60*t**2 - 1590 What is the second derivative of 4871*s + 525*s**3 - 1979*s**3 - 3340*s**3 wrt s? -28764*s Let z(k) be the first derivative of -2/5*k**5 + 0*k - 17/2*k**4 + 0*k**2 - 11/3*k**3 - 68. Find the third derivative of z(q) wrt q. -48*q - 204 Let s(d) be the second derivative of d**5/10 + 595*d**4/4 + 1318*d**2 - 11*d - 13. Differentiate s(p) wrt p. 6*p**2 + 3570*p Let z be 701 - (-6)/((-30)/25). Let k = z - 478. What is the derivative of 6*w + 199 + 14*w - k wrt w? 20 Let h(a) = a**2 - 10*a + 11. Let z be h(10). Find the second derivative of -8*d**2 + z*d**2 + 13*d**2 + 68*d wrt d. 32 Let d(r) be the third derivative of 265*r**8/112 - 2*r**7/105 + r**6/60 - 1777*r**4/12 + 10745*r**2. What is the second derivative of d(m) wrt m? 15900*m**3 - 48*m**2 + 12*m Let m(t) = -5445*t**2 - 95*t + 21. Let h(f) = -f**2 - 3*f + 9. Let i(w) = -2*h(w) + m(w). Find the second derivative of i(n) wrt n. -10886 Suppose 0*m + 3*m - 212 = -2*b, -2*b + 2 = 0. Differentiate -55 + 69*v - m + 45 with respect to v. 69 Suppose 23 = 3*z + 5. Find the second derivative of r**3 + z*r - 86*r**2 + 3*r + 54*r**2 wrt r. 6*r - 64 Suppose -3*f + 3*l = -7*f - 232, -f = 2*l + 53. Let a = -57 - f. What is the second derivative of 7*c**5 - 25*c**5 + a*c + 0*c + 2*c wrt c? -360*c**3 Let z(s) be the second derivative of 1006*s**5/5 + 1696*s**3/3 + 986*s. Find the second derivative of z(i) wrt i. 24144*i Let l(i) be the second derivative of -343*i**5/10 - 94*i**3/3 - i**2/2 - 4939*i. Find the second derivative of l(r) wrt r. -4116*r Let w(r) = 16170*r**4 + 7*r**3 + 21305*r. Let p(m) = -8085*m**4 - 4*m**3 - 10652*m. Let c(k) = -7*p(k) - 4*w(k). What is the second derivative of c(n) wrt n? -97020*n**2 Let s(x) be the second derivative of 92*x**5/5 - 435*x**2 - 10*x - 2. What is the first derivative of s(i) wrt i? 1104*i**2 Suppose 4*m + 3*l = 27, -4*m + 23 = -0*m - l. What is the second derivative of -68*s + 191*s - 107*s**2 - s**3 - m*s**4 + s**3 + 124*s**2 wrt s? -72*s**2 + 34 Find the first derivative of 123 + 2088*v**4 + 488 - 562*v**4 + 32 wrt v. 6104*v**3 Suppose 3 = c - 3. Let h be 8/c*(-3)/(-2). What is the derivative of 2*t - 2*t + 87 - 20*t**h - 65 wrt t? -40*t Let h(d) = -428*d**3 - 6*d**2 + 1045*d + 3. Let o(t) = 857*t**3 + 10*t**2 - 2087*t - 5. Let b(k) =
{ "pile_set_name": "DM Mathematics" }
is bigger: 1 or 12275? 12275 Are 1/2 and 49452/29 equal? False Which is smaller: -8/193371 or -1? -1 Which is greater: -1 or -397038? -1 Which is smaller: -54753 or -54787? -54787 Do 9482 and 9486 have different values? True Which is greater: 1/64155 or -4? 1/64155 Which is smaller: 455 or -0.102? -0.102 Is 0 less than or equal to 8/204159? True Which is bigger: 91094/5 or 18219? 18219 Which is smaller: -132055/6 or -22010? -22010 Which is bigger: -41/9 or -0.279? -0.279 Is 1102836 at least 1102837? False Is -478 smaller than 113? True Which is greater: 48239/5 or 9647? 48239/5 Which is smaller: -14868 or -14867? -14868 Is 214981 < -2? False Are -33106/3 and -11035 unequal? True Is -64 != 1748? True Is -103220 at least as big as -103217? False Are -7980.5 and 0.1 unequal? True Which is bigger: -0.0125183 or 0.1? 0.1 Is 495 at most as big as 983? True Is -1092 less than or equal to -12027/11? False Does 5235 = 5205? False Which is bigger: 25/3827 or 1? 1 Is 6410/19 smaller than 338? True Is -3475 at most -3453? True Are 0 and 4/4235 nonequal? True Which is bigger: 375035 or 375033? 375035 Which is smaller: 2592642 or 2592641? 2592641 Is 3986/2075 smaller than 2? True Which is smaller: -0.09 or -1.0417? -1.0417 Is -192340 at most as big as -192347? False Which is smaller: -2006 or -1172? -2006 Is 0.009 < 353/3? True Which is bigger: 0 or 3/69559? 3/69559 Which is smaller: -137 or 0.579? -137 Is 643 bigger than -8/117? True Which is bigger: -61191 or -61194? -61191 Which is smaller: 21336 or 21287? 21287 Does -1508 = -8? False Is 11145 smaller than 11271? True Is 54293 at most as big as 54292? False Which is smaller: 6/15007 or -1? -1 Which is smaller: -8068 or -120998/15? -8068 Which is bigger: 3.0789 or 21? 21 Which is smaller: -21843 or -152898/7? -21843 Is 6154.523 > 1? True Which is smaller: 374495 or 374515? 374495 Is 1429 at least as big as -239? True Is -6840 bigger than -6841? True Which is bigger: -0.5714 or -0.15? -0.15 Are 338758 and 338758 unequal? False Is -4417/71 less than -63? False Is -1/156186 != 1? True Which is smaller: 602330 or 602333? 602330 Is 1101.7 at least -1/10? True Do -106391 and -2 have the same value? False Which is bigger: -1229 or -1182? -1182 Which is smaller: 9186 or -0.02? -0.02 Which is smaller: 1 or -309/826? -309/826 Are -100213 and -100222 unequal? True Is 2235/178 >= 14? False Which is smaller: 0 or 10/121547? 0 Are 0 and -4422 unequal? True Which is bigger: 72755 or 72758? 72758 Which is bigger: -1489769 or -1489768? -1489768 Is -436 bigger than 51? False Is 0 less than -58340? False Are 9 and 0.03793 unequal? True Is 72241 smaller than 72242? True Which is smaller: -13119 or -3? -13119 Is 6611 smaller than 6618? True Is -48429 bigger than -48428? False Is -7241 at least as big as -152072/21? True Does 90 = -1802? False Which is smaller: 28856 or -2? -2 Is -0.0475 bigger than -2/14015? False Is -54215 less than -54219? False Is -766 bigger than -764? False Is -2772 at least -2777? True Which is bigger: 405 or 384? 405 Is -5/8651 less than 1? True Do 2339 and 2352 have the same value? False Which is smaller: -8/24135 or 0? -8/24135 Are -2477370/13 and -190567 non-equal? True Is 2/2749 < -1/12? False Does -276644 = -276638? False Which is greater: -150183 or -150181? -150181 Is 4/606091 at least -1? True Which is smaller: -493 or 40? -493 Which is greater: -53/5834 or -1? -53/5834 Which is bigger: 2/475 or -0.11725? 2/475 Which is smaller: 1 or 14/19533? 14/19533 Is 127 at least as big as 253? False Is 3830 less than 3832? True Which is greater: 1/102182 or 0? 1/102182 Which is smaller: 1 or 2/9282247? 2/9282247 Which is bigger: 216665 or 216663? 216665 Which is bigger: 12843 or -55? 12843 Which is greater: -811 or -797? -797 Which is smaller: -2/7 or -23494? -23494 Is 18711/1333 less than or equal to 15? True Which is smaller: 0 or -35/334631? -35/334631 Are -341/436 and -0.1 equal? False Which is smaller: 46 or 922? 46 Is 13966 at most as big as 237446/17? True Is 1300 bigger than 1290? True Is -118/165 smaller than 0? True Which is greater: 0 or -1/11682? 0 Do -0.51 and -7 have different values? True Which is greater: -1 or -2/1328723? -2/1328723 Which is smaller: -2/5 or 0.68078? -2/5 Is -42685 bigger than -42685? False Is -30069 greater than -30073? True Is -2701 at least as big as -2702? True Which is smaller: -0.67 or -2342? -2342 Is 1666/229 less than 7? False Is 0 less than or equal to 625256? True Which is smaller: 15817/60 or 265? 15817/60 Which is smaller: -595876 or -595875? -595876 Which is greater: 181699 or 181705? 181705 Is -179 greater than 5033? False Which is smaller: 3/24280 or -1? -1 Does -8 = -0.02666? False Which is smaller: -1714156 or -1714158? -1714158 Are -1 and -6/1588985 non-equal? True Which is smaller: 713/13767 or 0? 0 Is 11359 less than 11361? True Is 82696 smaller than 82703? True Which is smaller: 5353 or 5339? 5339 Which is bigger: -2754 or -23/94? -23/94 Is 12732/13 > 978? True Which is smaller: -1286 or -1152? -1286 Which is smaller: -210351 or 6? -210351 Is -57583 > -57583? False Which is bigger: -47645.3 or 1? 1 Which is smaller: 0.3 or -22/8917? -22/8917 Which is smaller: -2637840 or -2637841? -2637841 Is 365892/25 greater than 14636? False Is -1456 at most -1782? False Is -1 less than or equal to -294/641? True Is 153628 at most as big as 153633? True Which is bigger: 6178088 or 6178089? 6178089 Which is bigger: -36 or -3930/109? -36 Which is smaller: -4 or -448.59? -448.59 Which is smaller: -1 or 288/6347? -1 Which is bigger: 5083/6 or 847? 5083/6 Which is bigger: 59/90 or -2/5? 59/90 Which is smaller: -5 or 15/719? -5 Which is bigger: -3203 or -35226/11? -35226/11 Is 61 > -2804? True Which is smaller: -184314 or -184312? -184314 Which is smaller: -19106 or -19099? -19106 Which is smaller: 2432 or 2429? 2429 Are -35461 and -35460 non-equal? True Which is greater: -3011/14 or -216? -3011/14 Which is smaller: -33435 or -33446? -33446 Is 65862 > 65864? False Is -6285/7 at most -15? True Which is bigger: -1 or -1065/3068? -1065/3068 Are -30 and -0.09574 nonequal? True Which is greater: -242 or 2.24? 2.24 Is 5 less than or equal to -59524? False Which is smaller: 1/3 or 660072? 1/3 Is 500 != -37? True Which is greater: 908136 or 908135? 908136 Which is bigger: -330 or -302? -302 Is -1954943/2 greater than -977473? True Which is bigger: 90156 or 90158? 90158 Is 6.6 < -0.479? False Which is bigger: 7686 or 7687? 7687 Is 1 at most -2/4763117? False Which is smaller: 1 or -105/67913? -105/67913 Is -259/131 < -3? False Which is smaller: 6675 or 60076/9? 6675 Are -4401 and -4465 nonequal? True Which is smaller: 145810 or 0.02? 0.02 Which is bigger: -1 or -1549615/4? -1 Which is greater: 0.11031 or 1/8? 1/8 Is 1 at least -2/7662473? True Which is smaller: -1220 or 0.07? -1220 Is 235 >= 88? True Which is greater: -1651827 or -4955482/3? -1651827 Which is smaller: -45 or -144? -144 Which is bigger: -2/1099961 or 0? 0 Is 2/32843 at least as big as 1? False Which is smaller: -1569/41 or -39? -39 Is -17487 >= -17481? False Do 126 and -339 have the same value? False Is 19 at least -82004? True Is 4.915 <= -10? False Are -13356 and -13357 unequal? True Is -3/8 greater than 94.37? False Which is smaller: -480866 or 1/7? -480866 Is -5 less than or equal to -26282? False Is 0 >= 2/128307? False Which is smaller: 184233 or 184232? 184232 Which is smaller: -233 or -58353/251? -233 Is 1217/272 at most 4? False Which is smaller: -320028 or -320029? -320029 Are 206672 and 206669 nonequal? True Which is smaller: 52/9499 or 0? 0 Is -1 <= -1/14016? True Does -2/209545 = 0? False Which is smaller: -27.9088 or 1? -27.9088 Which is smaller: 65050/27 or 2409? 2409 Is -465 < -459? True Is -906 smaller than -926? False Which is smaller: 1 or 1/141813? 1/141813 Is -418987/6 >= -69831? False Is 30037 != 30041? True Is 151681 smaller than -2? False Is -9 at least -119/13? True Which is bigger: 586725 or 586727? 586727 Which is smaller: 124/99 or -0.5? -0.5 Which is bigger: -0.1 or -179445? -0.1 Are 192.4 and 65.6 equal? False Is 3933339 greater than or equal to 3933339? True Which is smaller: -882 or -864? -882 Which is smaller: 2/729791 or 1? 2/729791 Which is bigger: -4679 or -4682? -4679 Are
{ "pile_set_name": "DM Mathematics" }
by m(-6). 32 Suppose 5*a - 496 - 254 = 3*x, 304 = 2*a - 2*x. What is the remainder when 2345 is divided by a? 140 Suppose -394*s = -390*s - 1632. Let l = s + -298. Calculate the remainder when l is divided by 30. 20 Suppose i - 366 = -2*i. Let b = -50 + i. Calculate the remainder when b is divided by ((-12)/10)/(1332/45 - 29) + 40. 34 Let m(t) = 4*t**2 - 17*t - 3. Let v(l) = 3*l**2 - 17*l - 5. Let i(p) = 2*m(p) - 3*v(p). What is the remainder when i(8) is divided by 18? 9 Let x be 2/(-4)*(-60 - 0). What is the remainder when 18/((x/(-18))/(-5)) is divided by 11? 10 Suppose -4 = 3*q + y - 2*y, 16 = q + 4*y. Suppose q = 2*t - o - 40, 58 = 3*t - 0*o - o. What is the remainder when t is divided by (4/(-2 + 3))/1? 2 Let x be 1/((6/4)/(-12 - -15)). Calculate the remainder when (-1826)/(-11) - (-5 - x) is divided by 44. 41 Suppose 0 = 5*z + 5*i - 2245, -2*i - 494 = 5*z - 2748. Suppose -z*f + 456*f - 216 = 0. Calculate the remainder when f is divided by 29. 25 Suppose 0 = 3*t - 10*t. Suppose 4*b + 40 = 6*w - 3*w, -5*w + 2*b + 76 = t. What is the remainder when 29 is divided by (-33)/22*w/(-3)? 5 Suppose -k - 2 = y - 1, 5*y + 4*k = -2. Suppose 2 = y*q + 10. Calculate the remainder when 106/2 + q/2 is divided by 21. 9 Let m = 1147 + -1133. Calculate the remainder when 3275 is divided by m. 13 Suppose -237*v + 108965 = -89404. What is the remainder when v is divided by 35? 32 Suppose 53057 + 268978 = 35*r. Calculate the remainder when r is divided by 214. 213 Let j be (-2)/14 - (-96798)/14. Suppose -38*l + 34468 = -j. What is the remainder when l is divided by 28? 25 Let y(w) = 1120*w - 2653. What is the remainder when y(4) is divided by 10? 7 Let v be 1 + -2 + 1044 + 0. Suppose -25*d + v + 32 = 0. Calculate the remainder when d is divided by 37. 6 Let g be (-468)/(-10)*(-30)/24*-2. Suppose 15*w + g = 18*w. What is the remainder when w is divided by 10? 9 Let q = -122 + 137. Let y(d) = d**3 - 8*d**2 + 15*d - 9. Calculate the remainder when q is divided by y(6). 6 Suppose -4*x - 5*y + 448 = 0, 0 + 8 = -2*y. Let j = x - 33. What is the remainder when j is divided by 30? 24 Suppose 86*f - 983 - 15202 = 21*f. Calculate the remainder when f is divided by 9. 6 Let b = 107 - 102. Suppose b*s + 33 = 8*s. What is the remainder when 84 is divided by s? 7 Let l(r) = r**3 + 23*r**2 - 8*r - 62. What is the remainder when 418 is divided by l(-23)? 52 Calculate the remainder when ((-9700)/(-60))/(1/3) is divided by 62. 51 Let i = 9494 + -9438. What is the remainder when 2683 is divided by i? 51 Suppose -s = 5*v - 907, -v + 7*s = 2*s - 197. Suppose 5*b = v + 393. What is the remainder when b is divided by 24? 19 What is the remainder when (64335/(-6))/(-3 + 56/32) is divided by 13? 11 Let f be ((-420)/36)/((-1)/12*1). Suppose -17*r - 60 = -2*t - 19*r, 5*r = 5*t - f. Calculate the remainder when 2/(4/6)*27 is divided by t. 23 Suppose -5*j - 5*o + 60 = 0, -2*j - 4 = -3*j + o. Let q = 46 + -41. Suppose 5*n - 129 = -q*t - 34, -t + 19 = -3*n. What is the remainder when t is divided by j? 3 Let u be 12 + ((-322)/35 - (-8)/40). Let q = -12 - -17. Suppose u*g = -a + 200, q*a = 3*g + 32 - 238. What is the remainder when g is divided by 18? 13 Let h(t) = -51*t**3 + 10*t**2 + 29*t + 15. What is the remainder when h(-6) is divided by 20? 17 Let p(i) = 60*i - 1353. Calculate the remainder when 729 is divided by p(23). 0 Let s be (1/(-2))/1*2. Calculate the remainder when 46 is divided by (16 - 15) + (10 - s). 10 Let j = -2430 + 2780. What is the remainder when j is divided by 176? 174 Let n = 2982 + -2967. Calculate the remainder when (-690)/(-25) + 2/5 is divided by n. 13 Let p(d) = d + 3. Let x be p(1). Calculate the remainder when x/(-8)*6*-4 is divided by 7. 5 Suppose 2*f = -4*n + 110, -4*f + 43 + 141 = 2*n. Calculate the remainder when 684 is divided by f. 39 Suppose -20 = 4*t - 3*d, -2 = -2*t - 2*d + 2. Let r = -3 + 10. What is the remainder when (1/t)/(2/(-44)) is divided by r? 4 Let i(a) = -a**2 - 30*a - 90. Calculate the remainder when 214 is divided by i(-12). 88 Let s be -4*(3 + -1)/(8/10). Let x be s/(-2)*224/(-80). Calculate the remainder when 12 is divided by (21/x)/((-3)/20). 2 Suppose t - 5*v - 33 = 89, 5*t = 2*v + 748. What is the remainder when t is divided by 40? 32 Let c = 49 + -28. Let b be (-1 - (-1306)/4)*72/c. Suppose -12*h - 360 = -b. What is the remainder when h is divided by 14? 7 Let c be 0 + 6 - (-15)/(-5). Suppose c*m + 344 = 5*u + m, -2*u - 2*m = -146. Calculate the remainder when 270 is divided by u. 60 Let c = -11906 + 12042. Calculate the remainder when 503 is divided by c. 95 Let y(b) = 3*b + 49. Let l be y(-12). Suppose -796 = l*m - 17*m. Calculate the remainder when m is divided by 68. 63 Let g = -39 - -590. Suppose -281*s = -13323 + 4612. What is the remainder when (-3)/(-9) - g/(-3) is divided by s? 29 Suppose 28*p = 33*p - 305. Calculate the remainder when 15/(-6)*(-32620)/350 is divided by p. 50 Calculate the remainder when 17479 is divided by (((-456)/(-7))/(-6))/(110/(-385)). 37 Let b(w) = 2*w**3 - 2*w**2 - 2*w + 5. Let i be b(4). Suppose -246 = 55*g - 52*g. Let r = i + g. Calculate the remainder when r is divided by 6. 5 Suppose 9627 = 4*c - 5*u, -2*c - 3*u + 4846 = u. Calculate the remainder when c is divided by 16. 13 Calculate the remainder when (-3262)/233 - (-156)/11 - (-8490)/11 is divided by 167. 104 Calculate the remainder when 1403 is divided by (2680/(-120))/((-1)/((-3)/(-1))). 63 Let r = 3884 - 3328. Calculate the remainder when r is divided by 177. 25 Suppose 0 = 118*n - 78*n + 11080. Let b = 311 + n. Let z(t) = t**3 + 6*t**2 - 8*t + 5. What is the remainder when b is divided by z(-7)? 10 Let b(s) = -37*s + 2185. Let q = -315 + 587. Calculate the remainder when q is divided by b(58). 38 Let h(i) = 114*i + 6. Suppose 37 = 4*w - 5*x, -3*w - 4*x = -2*x + 1. Let m be h(w). Suppose -5*k - m = -9*k. What is the remainder when k is divided by 22? 21 Let p(w) = -4*w - 34. Let j be p(-9). Suppose -3*d + 541 = -2*m, j*d + 4*m - 366 = -0*m. Calculate the remainder when d is divided by (16 + -12)*(-74)/(-8). 33 Suppose w = x - 364, 9*x - 3*w = 5*x + 1456. Calculate the remainder when x is divided by 120. 4 Let s(t) = -10*t**2 + 13*t - t - 2 + t**3 + 2*t**2. Let y be s(6). Calculate the remainder when 125 is divided by (-704)/(-33)*(-3)/y. 29 Let b(q) = 12*q - 295. Suppose 2*h + 3*s = -h + 60, 3*s + 48 = 3*h. Calculate the remainder when b(38) is divided by h. 17 Let k = -435 + 451. What is the remainder when k is divided by 6/(2/(8/2))? 4 Suppose -90 = -k - n + 5*n, 2*k + n - 153 = 0. Suppose -t = -k + 53. What is the remainder when 91 is divided by t + -3 + 1 + 1? 19 Let g be 34/(-51) - 736/3. Let c = -232 - g. Calculate the remainder when 26 is divided by c. 12 Calculate the remainder when 476 is divided by (198/132)/(6/664). 144 Let k(i) = -2*i**2 - 15*i + 2. Let y be k(-8). Let x be 37/y + 6 - 86/(-12). What is the remainder when 4 is divided by 0 + x + (-4 - -1)? 0 Suppose -o = -122 - 4. What is the remainder when o is divided by 25 - (840/5)/12? 5 Suppose 4555246 = 259*d + 190*d + 89*d. Calculate the remainder when d is divided by 77. 74 Let i be ((-4)/(-8) - (-133)/14) + -6. Suppose -3*t = -i*a + 215 + 1165, 0 = -4*a - 4*t + 1352. What is the remainder when a is divided by 86? 84 Let b = 13411 - 13387. What is the remainder when 1/(-1) + 2 - -212 is divided by b? 21 Let c = -481 - -483. Suppose 2*u - 27 - 185 = 0. What is the remainder when u is divided by ((-8)/16)/(c/(-36))? 7 Let r = 70 - 67. Suppose 0 = -r*t + 4*t + 4*w - 13, 5 = 5*w. What is the remainder when 28 is divided by t? 1 Let l(k) = -2*k + k**3 - 2 + 1 - k**2 + 2*k**2 - 7*k**3. Suppose 5*i = 3*y - 19, 0*i + 27 = -y - 5*i. What is the remainder when l(y) is divided by 15? 10 Let t(g) = 2*g**2 + 43*g - 4. Let j = 96 + -118. Calculate the remainder when 121 is divided by t(j). 13 Let x = -95 + 102. Suppose -150 = -x*r + 11. Calculate the remainder when r is divided by 8. 7 Let d = -11494 + 11634. What is the remainder when d is divided by 108? 32 Suppose 3 = -5*q + 5*g + 18, 2*q = -2*g + 6. Suppose 0 = -q*x + 3*u + 39, 2*x - u + 3*u - 26 = 0. Calculate the remainder when 25 is divided by x. 12 Let s = 2883 - -2245. Calculate the remainder when s is divided by 17. 1
{ "pile_set_name": "DM Mathematics" }
5/7 = 0. 5, 967 What is d in d**4/2 + 463*d**3 - 9404*d**2 + 52880*d - 90816 = 0? -946, 4, 12 Factor -p**4 - 484*p**3 - 72708*p**2 - 3422848*p - 50013184. -(p + 34)**2*(p + 208)**2 Find f, given that -4*f**2 - 592*f - 15504 = 0. -114, -34 Factor 4*f**3 - 664*f**2 + 8564*f - 7904. 4*(f - 152)*(f - 13)*(f - 1) Factor -d**4/4 + 305*d**3/4 + 623*d**2 + 939*d. -d*(d - 313)*(d + 2)*(d + 6)/4 Factor b**2 - 356*b - 1440. (b - 360)*(b + 4) Let -141*c**4 - 19047*c**3 + 36873*c**2 - 16041*c - 1644 = 0. Calculate c. -137, -4/47, 1 What is v in -252*v**2 + 646*v - 164 = 0? 2/7, 41/18 Factor -3*d**2/4 - 347945*d/4 - 115981/2. -(d + 115981)*(3*d + 2)/4 Let -2*x**2 - 388*x + 354430 = 0. Calculate x. -529, 335 Solve -5*v**4 + 105*v**3 + 39825*v**2 - 1688285*v = 0 for v. -97, 0, 59 Solve -5*a**5 + 274290*a**4 - 3761750205*a**3 = 0. 0, 27429 Factor 3*a**2/2 - 111*a - 1848. 3*(a - 88)*(a + 14)/2 Find k such that k**2/5 + 178*k/5 + 713 = 0. -155, -23 Factor 4*b**3 + 31228*b**2. 4*b**2*(b + 7807) Find f, given that f**3 - 16882*f**2 - 337940*f - 1690200 = 0. -10, 16902 Determine d so that 2*d**2 + 6832*d + 5834528 = 0. -1708 Let -2*u**2/3 + 18092*u/3 + 54330 = 0. What is u? -9, 9055 Factor 9*h**2 + 441858*h + 147285. 3*(h + 49095)*(3*h + 1) Find s such that -s**4/4 - 983*s**3/2 - 942409*s**2/4 + 5868510*s - 35640900 = 0. -995, 12 Suppose b**4 + 597*b**3 + 37274*b**2 - 37872*b = 0. What is b? -526, -72, 0, 1 What is f in -f**5 + 42*f**4 + 2095*f**3 + 12264*f**2 = 0? -24, -7, 0, 73 Factor x**4 - 11738*x**3 + 34433420*x**2 + 68913800*x. x*(x - 5870)**2*(x + 2) Solve 2*m**5/9 - 46*m**3/9 + 44*m**2/3 - 136*m/9 + 16/3 = 0 for m. -6, 1, 2 Factor -i**2/2 - 796*i + 4785/2. -(i - 3)*(i + 1595)/2 Solve 1372*z**5 - 149401*z**4 + 5359221*z**3 - 60963227*z**2 - 84872965*z = 0. -5/4, 0, 257/7 Factor -2*o**2/19 - 66640*o/19 + 199938/19. -2*(o - 3)*(o + 33323)/19 Determine w so that w**4/3 - 22*w**3 + 99*w**2 + 4824*w - 41040 = 0. -15, 12, 57 Find y such that 2*y**2/13 - 102*y/13 - 6764/13 = 0. -38, 89 Factor n**4/4 + 24*n**3 + 1529*n**2/4 - 1725*n/2. n*(n - 2)*(n + 23)*(n + 75)/4 Determine i so that -7437*i**4/5 - 4464*i**3 - 14901*i**2/5 - 18*i/5 = 0. -2, -1, -3/2479, 0 Suppose 2*k**5/17 + 214*k**4/17 + 1720*k**3/17 - 4312*k**2/17 = 0. What is k? -98, -11, 0, 2 Let -2*g**3/3 - 5770*g**2 + 69296*g/3 + 69272 = 0. What is g? -8659, -2, 6 Determine n so that 3*n**2/7 - 8961*n/7 + 26694 = 0. 21, 2966 Factor -3*l**3/2 + 357*l**2/2 - 696*l + 690. -3*(l - 115)*(l - 2)**2/2 Let -d**5/3 - 92*d**4/3 + 297*d**3 - 606*d**2 = 0. Calculate d. -101, 0, 3, 6 Factor s**3 - 732*s**2 - 2944*s. s*(s - 736)*(s + 4) Factor -5*z**3 + 5110*z**2 - 10200*z. -5*z*(z - 1020)*(z - 2) Determine a so that -2*a**4/19 + 92*a**3/19 - 728*a**2/19 - 8112*a/19 = 0. -6, 0, 26 Suppose 5*k**4 + 735*k**3 + 6895*k**2 + 6165*k = 0. Calculate k. -137, -9, -1, 0 Factor -4*d**2 - 53728*d - 107440. -4*(d + 2)*(d + 13430) Factor 3*m**2/8 + 3273*m/8 - 10035. 3*(m - 24)*(m + 1115)/8 Factor 4*g**2 - 7532*g + 222360. 4*(g - 1853)*(g - 30) What is h in -2*h**4 + 112*h**3 - 424*h**2 - 64480*h + 908544 = 0? -24, 26, 28 Suppose -c**2/5 + 2249*c/5 + 6756/5 = 0. What is c? -3, 2252 Factor -2*h**3 - 567502*h**2 - 40257598750*h - 40257031250. -2*(h + 1)*(h + 141875)**2 Determine a, given that -2*a**2/9 - 4934*a/9 - 9860/9 = 0. -2465, -2 Factor -3*n**2/8 + 7329*n/4 - 248319/8. -3*(n - 4869)*(n - 17)/8 Factor -k**4/7 + 2647*k**3/7 - 7935*k**2/7 + 7933*k/7 - 2644/7. -(k - 2644)*(k - 1)**3/7 Solve 4*v**5 + 20*v**4 - 64*v**3 - 224*v**2 + 192*v + 576 = 0 for v. -6, -2, 2, 3 Factor 3*a**3 - 1818*a**2 + 275427*a. 3*a*(a - 303)**2 Factor -2*i**2/3 + 2254*i/3 + 4516/3. -2*(i - 1129)*(i + 2)/3 Determine u so that -2*u**3/9 - 92*u**2/9 - 10*u = 0. -45, -1, 0 Factor -3*i**2 + 531*i - 20520. -3*(i - 120)*(i - 57) Find o, given that -14*o**3/11 - 108*o**2 + 1400*o/11 + 2064/11 = 0. -86, -6/7, 2 Find d, given that 5*d**2 + 14835*d - 29690 = 0. -2969, 2 Find s such that s**4/3 + 38*s**3/3 + 275*s**2/3 + 382*s/3 - 232 = 0. -29, -6, -4, 1 Solve -5*n**3 - 171685*n**2 - 1473701115*n + 1473872805 = 0 for n. -17169, 1 Factor -r**2/3 + 517*r/3 - 2184. -(r - 504)*(r - 13)/3 Let -363*c**2/5 - 98361*c/5 + 3252/5 = 0. Calculate c. -271, 4/121 Solve t**3/10 - 3909*t**2/10 - 7824*t/5 - 7826/5 = 0. -2, 3913 Solve -295*g**2 - 16230*g - 275 = 0. -55, -1/59 Find o, given that 18*o**4/5 - 23532*o**3/5 - 22026*o**2 - 102372*o/5 + 47232/5 = 0. -3, -2, 1/3, 1312 Factor -i**2/8 + 30287*i/8 + 30289/4. -(i - 30289)*(i + 2)/8 Solve -m**5 + 152*m**4 + 3012*m**3 + 8114*m**2 + 7805*m + 2550 = 0 for m. -15, -1, 170 Determine g, given that 16*g**5 + 43884*g**4 + 32884*g**3 - 54852*g**2 - 32900*g + 10968 = 0. -2742, -1, 1/4, 1 Find u, given that 6940*u**3 - 6948*u**2 - 13872*u + 16 = 0. -1, 2/1735, 2 Suppose 3*a**4 + 77*a**3 + 574*a**2 + 1144*a - 448 = 0. Calculate a. -14, -8, -4, 1/3 Determine y, given that 4*y**5 - 1140*y**4 + 6600*y**3 + 26680*y**2 + 28980*y + 10044 = 0. -1, 9, 279 Suppose -3*f**4 + 903*f**3 + 45414*f**2 + 453600*f - 1793664 = 0. Calculate f. -24, 3, 346 Factor 2*c**2/5 + 6736*c/5 + 6734/5. 2*(c + 1)*(c + 3367)/5 Let 3*w**2/2 + 52947*w + 934461603/2 = 0. Calculate w. -17649 Let 3*l**3 - 1593*l**2 + 110565*l + 29469825 = 0. What is l? -99, 315 Solve 124*u**3 + 2544*u**2 + 10820*u + 8400 = 0 for u. -15, -140/31, -1 Factor 58*u**3 + 1226*u**2 + 1328*u + 160. 2*(u + 1)*(u + 20)*(29*u + 4) Factor 3*k**2 - 199629*k - 199632. 3*(k - 66544)*(k + 1) Find o, given that -o**5/3 - 66*o**4 - 7901*o**3/3 - 36044*o**2 - 150276*o - 176400 = 0. -150, -21, -4, -2 Let d**4 + 1238*d**3 + 558204*d**2 + 109509242*d + 7927134931 = 0. What is d? -467, -257 Factor -5*z**4 + 634615*z**3 + 1903875*z**2 + 1903885*z + 634630. -5*(z - 126926)*(z + 1)**3 Determine w so that 5*w**3 - 2420*w**2 - 320255*w + 196788170 = 0. -274, 379 Let 625*k**4/4 - 55575*k**3/4 - 60699*k**2/4 - 4589*k/4 - 45/2 = 0. Calculate k. -1, -1/25, 90 Factor 34*x**4 - 216*x**3 + 72*x**2. 2*x**2*(x - 6)*(17*x - 6) Determine g, given that -5*g**2 + 965340*g - 965335 = 0. 1, 193067 Let -2*x**5/5 - 6*x**4 + 908*x**3/5 - 5472*x**2/5 + 9216*x/5 = 0. Calculate x. -32, 0, 3, 6, 8 Factor -q**2/3 - 54947*q/3 - 54946/3. -(q + 1)*(q + 54946)/3 Determine q, given that q**4/3 - 103760*q**3/3 + 103759*q**2/3 = 0. 0, 1, 103759 Find h such that -h**5/5 + 13*h**4/5 + 249*h**3/5 + 107*h**2 - 740*h - 2400 = 0. -5, 4, 24 Solve -3*u**2/4 - 10623*u/2 - 21243/4 = 0. -7081, -1 Factor -2*s**4/11 - 2742*s**3/11 - 10944*s**2/11 - 10936*s/11. -2*s*(s + 2)**2*(s + 1367)/11 Factor 2*k**4 - 62*k**3 - 686*k**2 + 15974*k - 61740. 2*(k - 35)*(k - 7)**2*(k + 18) Factor 3*y**3 - 300*y**2 + 5511*y - 28314. 3*(y - 78)*(y - 11)**2 Suppose 3*v**3 + 14526*v**2 = 0. Calculate v. -4842, 0 Find g, given that -961*g**2 + 32643*g - 1108809/4 = 0. 1053/62 Factor -l**3/6 + 527*l**2/2 - 208033*l/2 - 625681/6. -(l - 791)**2*(l + 1)/6 Solve 2*s**3/11 + 386*s**2/11 + 7864*s/11 + 680 = 0 for s. -170, -22, -1 Factor -2*s**3/13 + 604*s**2/13 - 3570*s/13 + 5328/13. -2*(s - 296)*(s - 3)**2/13 Let -4*y**3 + 44712*y**2 - 124992384*y + 249805952 = 0. What is y? 2, 5588 Solve 4*g**4/5 - 3*g**3/5 - 41*g**2/5 - 42*g/5 - 8/5 = 0 for g. -2, -1, -1/4, 4 Solve j**4/4 - 3909*j**3/4 - 7823*j**2/4 + 3909*j/4 + 3911/2 = 0. -2, -1, 1, 3911 Suppose -4*k**2 + 11680*k + 152516 = 0. Calculate k. -13, 2933 Solve -4*c**5 + 13396*c**4 - 26632*c**3 - 481616*c**2 - 1177888*c - 856832 = 0 for c. -2, 8, 3347 Factor 4*l**3/9 + 31520*l**2/9. 4*l**2*(l + 7880)/9 Solve -v**4/2 - 1481*v**3/2 + 4455*v**2 - 8918*v + 5948 = 0. -1487, 2 Find p such that -2*p**2/5 - 670023*p/5 - 335011/5 = 0. -335011, -1/2 Factor -5*u**3 - 910*u**2 - 17095*u - 30590. -5*(u + 2)*(u + 19)*(u + 161) Factor 2*q**3/7 - 660*q**2 + 2663424*q/7 + 5345344/7. 2*(q - 1156)**2*(q + 2)/7 What is x in -x**5 - 2073*x**4 - 2072*x**3 = 0? -2072, -1, 0 Factor -2*b**4/9 - 574*b**3/3 - 572*b**2. -2*b**2*(b + 3)*(b + 858)/9 Let -2*t**3/3 - 248*t**2/3 - 920*t - 2688 = 0. What is t? -112, -6 Suppose 9*p**5 + 8391*p**4 + 27879*p**3 + 8325*p**2 - 33456*p - 11148 = 0. Calculate p. -929, -2, -1/3, 1 Factor -6845*n**3 + 38017870*n**2 - 4109980*n + 111080. -5*(n - 5554)*(37*n - 2)**2 Solve 2*h**3 - 2048*h**2 - 8216*h - 8224 = 0 for h. -2, 1028 Determine h so
{ "pile_set_name": "DM Mathematics" }
17 - (11 - 8)) + -6 8 What is (-2 - -8) + (0 - -1) + -17? -10 What is 9 + -6 + (0 - (2 + -6 + 1))? 6 Calculate -5 + -4 - 16 - -21. -4 What is (11 - -10) + -13 + -17 + 3? -6 Evaluate 14 - (11 - (13 + -7)). 9 Evaluate -21 + -21 - (-45 - -35). -32 What is (-19 - 0) + 53 + -77 + 13? -30 Evaluate 11 - (1 + 0) - (-11 - -32). -11 4 - (10 - 3) - (1 - -1) -5 What is 29 + -1 + 1 + -1 + (-171 - -168)? 25 What is the value of -32 + (0 - -5) - -10? -17 (0 + 3 - 12) + -14 + 4 -19 12 - 0 - (-2 - -15 - 11) 10 Calculate 0 + -1 - -20 - (-56 + 59). 16 What is the value of 9 - (-17 + (-19 - -47))? -2 What is -13 + 17 + (-3 - (4 + -17)) + 2? 16 What is the value of -1 - (-8 + 11 + -6 - (-4 - -5))? 3 What is the value of 9 - (-12 + 5) - -19 - 6? 29 What is -23 + (-8 - -12) - -30? 11 What is the value of -2 + -1 + 3 + (-1 - -1 - -5)? 5 Calculate 8 - (1 + -9 - (100 + -107)). 9 What is -4 + (25 - (-10 + 9 + 10))? 12 -12 - (-26 + 18 - 24) 20 What is the value of -11 + (-3 - -16 - 15)? -13 What is the value of 17 - (-4 + (0 - 7 - -7 - -8))? 13 Calculate 15 - (-9 - (1 - 2)) - 8 - -8. 23 Calculate -11 + 1 - ((-5 - 108) + 93). 10 What is (26 - 15) + -3 + -33 + 2? -23 Calculate 47 + -57 + (-4 - (-4 - -5)). -15 What is 26 + -58 + 5 + -3 + 2 + -1? -29 What is the value of (-6 - (8 + -7) - -14) + 0? 7 What is the value of 5 - (15 - 15) - 12? -7 (-28 - 48) + 44 - -3 -29 What is 76 + -45 + -2 + -4? 25 Calculate 12 + (3 - (7 + (12 - 10))). 6 8 + (-12 - (-26 - (2 + -19))) 5 Calculate 8 + 17 + (16 - 8) + -16. 17 What is the value of -10 - (-7 + -10 - (7 + 1))? 15 -3 - (-6 + 6 - -14) -17 Evaluate (-4 - -15) + (-8 - 5) + 0. -2 11 + (-8 - 3) - -7 - 3 4 What is the value of 308 + -320 - ((-45 - -1) + 0)? 32 What is 7 + -1 + (-9 - (-10 - -12 - 0))? -5 What is (-12 - (9 - 31)) + -26? -16 Calculate 15 - (18 + -14 + 5). 6 Calculate 23 + (29 - 60) - 18. -26 What is (1 - 0) + (-2 - (5 - 1 - 5))? 0 What is -8 - ((-28 - (3 - 10)) + 5) - 2? 6 What is 1 + (10 - 14 - (8 - -2))? -13 0 + -3 + -6 + 1 + -3 -11 -19 - ((3 - (-1 - -3 - -8)) + 4) -16 Evaluate -9 + 5 + -3 + (-33 + 57 - 31). -14 Calculate -6 + 0 - (-27 + -31 + 75). -23 What is -22 - -44 - (-44 - -30)? 36 Calculate (4 - -5 - 6) + -3 + -26 - 0. -26 13 - (19 - 7 - 10 - (-1 + 11)) 21 What is -34 + -1 + 24 + -13? -24 What is (0 - -32 - 7) + -4? 21 Evaluate -26 - (-14 + 2 + -22). 8 Calculate (8 - -2 - 0) + (2 + 0 - 5). 7 Calculate 17 + 2 + -19 + (3 - -7). 10 What is the value of 5 - -3 - (27 + -12 + -13) - 5? 1 127 + -109 - (-3 + 15) 6 What is the value of 8 - (1 + -6 - (-17 - (10 + -20)))? 6 Evaluate 1 - (-21 + 17 - (-2 - 8)) - -25. 20 What is (-3 - -21) + -3 + (-218 - -217)? 14 What is the value of -9 + 2 + 0 + (35 + 5 - 17)? 16 What is 38 - 1 - (551 - 526)? 12 What is the value of 4 + 14 - (149 - 131)? 0 What is the value of 2 - (-5 - 6) - (-118 + 91)? 40 Evaluate -21 - -14 - (3 + (2 - 26)). 14 Calculate 7 - (19 + -41 - -29 - (0 - -17)). 17 What is the value of 3 + -11 - (-1 + -2 + 3 + -4)? -4 Evaluate -27 + 0 + 9 + (-24 - (-8 - 5)). -29 Evaluate 16 - ((18 - 6) + 4 - -26). -26 What is (-41 - -58) + 18 - 20? 15 Calculate 6 - (-10 - (7 - 1 - 6)). 16 What is the value of -10 - (9 + (-17 - 1)) - (-1 + -31)? 31 Calculate 9 - (23 + -27 - 8). 21 Evaluate (2 - 8) + 23 + -75 + 27. -31 4 - (-13 - ((5 - 17) + 2)) 7 Evaluate (32 - 55) + (8 - (4 + -6)). -13 What is 5 + -1 + (-8 + 4 - 4)? -4 What is 14 + (-7 - 1) + (15 - 17)? 4 Calculate -23 - (1 + (6 - 8)). -22 What is 17 - ((14 - -19) + 20 + 4)? -40 What is 16 + -13 + (-6 - -9) + 2? 8 Evaluate -5 - -1 - (313 + -325) - 27. -19 Calculate 4 - ((-23 - -18) + -1 + 2 - -20). -12 Calculate (11 - 9) + (6 - 17) - -1. -8 What is (-64 + (-16 - -25) - -4) + 14? -37 Evaluate 22 + (3 - 6) - (-28 - -19). 28 What is (33 - 21) + -9 + 3 + -9? -3 What is the value of -1 - (-24 + 18 + (0 - (-7 - -7)))? 5 Calculate (-1 - (4 + (6 + 0 - 5))) + -4. -10 -1 + 5 + -6 - (-158 - -156) 0 What is -2 - (3 + 10 - 0) - (233 + -242)? -6 Evaluate (7 + (-3 - 7) - -17) + -4. 10 Calculate (4 - 4) + (104 - 109). -5 What is 18 + -27 - (-3 - (-14 + 7))? -13 Evaluate 0 - 7 - (-11 + 9 + -19 + 30). -16 Calculate -35 + 0 + 1426 + -1414. -23 Evaluate -37 + -2 + -6 + 22 - (2 + -1). -24 Calculate -1 - (6 - (2 + -4 + 3 + 2)). -4 (-14 - (-23 + 11)) + (4 - -18) 20 Evaluate 4 + (-4 - (9 - 7 - -6)). -8 Evaluate -3 + (97 - 105) + (3 - -19). 11 -3 + 8 - 3 - (2 - -4) - 10 -14 Evaluate (8 - -2 - -2) + (-31 - 18) + 14. -23 9 + -4 + (11 - (4 - 9)) 21 (1 + 1 - 4) + (206 - 209) -5 Evaluate 19 + (-33 - -1) + 21. 8 Calculate 700 - 694 - (1 + -7). 12 Evaluate 2 + 0 + (1 - (-2 + 0)) + 3. 8 Calculate (-6 - -6) + (2 - 8). -6 Calculate -3 + (2 - -5) + -2 + (-8 - -11). 5 Evaluate -40 - -25 - -25 - 27. -17 Evaluate -4 - ((-2 - 1 - -5 - 5) + -11). 10 What is -5 + 8 + (5 - 12) + -3 + 18? 11 (1 - 21) + -538 + 570 12 What is the value of -5 - (9 + (-32 - 6 - -7))? 17 Calculate (52 - 72) + (25 - 1). 4 What is 1 + -3 - -7 - (-3 + 17 + 4)? -13 What is (-1 - (-4 + 5)) + (-2 - (-3 - -4))? -5 What is the value of (0 - 32) + (1502 - 1495)? -25 Calculate -28 - -13 - (-30 - (5 + 9)). 29 What is the value of 9 + 1 + (-11 + -6 - -37)? 30 Evaluate -10 + (-5 + -4 - (-4 - 2)) + 6. -7 Calculate 5 - (7 + 17 - 7 - 10). -2 What is 22 + -14 + 12 - 33? -13 What is 8 + 5 + -7 + 0 + -2 + -6? -2 Calculate (-23 - 0) + -10 + (5 - -2) + 9. -17 Evaluate 15 + -18 - (-9 + (3 - (-2 + 8))). 9 Evaluate 16 + -34 + -4 + 19. -3 Calculate (81 - 86) + (-2 - -1) - 0. -6 7 - (1 + -7 - (-7 + -29 - -36)) 13 What is 23 - (-9 - -3 - -5) - (3 - 3)? 24 What is the value of (1 - (-2 - 2)) + 0 - (-5 + 19)? -9 Calculate -2 + 18 - (188 + -161). -11 Evaluate -518 + 529 + 5 + 0. 16 Calculate -30 + -20 + 26 + 38. 14 What is the value of -11 + 9 + -3 + -3 + -3 + 9? -2 Calculate -7 + (-5 - 0 - -5) + -1. -8 What is -9 + (14 - 16) + 4 + 20? 13 Evaluate 30 + -24 - (-5 + 10 + 12 - -3). -14 What is -3 + (1 - (1 - 6 - 1)) + 7? 11 Calculate -16 - (-4 + (0 - (5 + (5 - 5)))). -7 What is -5 + (-30 - -52) + -43? -26 Evaluate -1 + (1 - -4 - 1) + -4. -1 (-14 - (8 - 32) - 16) + 13 + 1 8 1 + (0 + -3 - (16 + -9 + 3)) -12 Evaluate -1 - ((-10 - -17 - 0) + -13). 5 (1 - (-2 - -6)) + (5 - 14 - -12) 0 What is the value of -78 + 86 + (3 - (0 + (-3 - -3)))? 11 What is 0 + 6 + -4 + -4 - 2? -4 Evaluate 34 + (-4 - 26) - (36 - 1). -31 43 + (15 - 31) + -19 8 What is the value of 26 - (-156 - -154 - (2 - 18))? 12 What is the value of (23 - 16) + -4 + 1? 4 Evaluate (8 - 1 - (28 - 26)) + -12. -7 What is the value of (-11 - -5) + -120 + 123? -3 What is -53 - (36 + -28 - 30)? -31 What is (0 - (5 + 0 + -2)) + (-14 - -18)? 1 Evaluate 4 + -10 + (-7 - -9) + 7. 3 Calculate (0 - (0 + (5 - 3))) + 7 + 0. 5 (-9 - 5) + 20 + -6 0 What is -3 + 1 + (35 + -39 - -16)? 10 -11 + 21 + -10 + 6 6 What is 8 + -6 + -1 - -3? 4 Evaluate 0 + 2 + (-33 - -3 - -21). -7 Calculate -21 - ((-16 - -25) + -16). -14 What is the value of 53 + -57 - (30 - -4 - -2)? -40 What is the value of (-5 - -11 - -4) + 0 + -12? -2 What is 55 + -48 + (-3 - 2) + 9? 11 Evaluate (0 - 2) + 9 + (8 - 9). 6 What is the value of 12 - 45 - -24 - (0 + -3) - 14? -20 What is the value of -4 + 0 - (-6 - (-3 - (8 + -4)))? -5 What is the value of -1 - (-5 + ((5 - 3) + 0 - 7))? 9 Calculate 9 - (-11 - 4 - (-8 + (13 - 9))). 20 What is 1 + -13 + -13 + 17 - (3 + -6)? -5 (-9 - -9) + (-6 - -19) + 9 22 10 + -33 + -25 + 53 5 What is 9 + -13 + 7 + 10 + -13? 0 What is (-6 - ((-6 - -5) + -7)) + -3 + -21? -22 Evaluate -21 - (-10 + -12 - -8). -7 What is the value of (-3 - 8) + (25 - (-36 - -12))? 38 7 + -5 + -1 + -1 - (-8 - 5) 13 4 + -10 + (-2 - 26 - -29) -5 What is the value of 18 - (-1 - 20 - -26)? 13 (-16 - (1 + -10 + 10 + -3)) + 1 -13 (-6 - -23 - 5) + -6 6 What is -19 - -15 - (15 + 1)? -20 -47 + (-25 - (-61 + -11)) 0 What is the value of 0 - (-1 + -3 + -1 + 27 + -19)? -3 Evaluate (-21 - -37) + (4 - 24). -4 Evaluate -3 + 18 + -11 + -13 + 0. -9 Evaluate 20 + 0 + -5 - ((15 - 5) + -18). 23 Evaluate 21 + -32 - (1 - (-7 + 6)). -13 What is the value of 36 + (-4 - (4 - (-19 + 13)))? 22 What is the value of -19 + 10 + 16 + -4? 3 Evaluate (-3 - 2 - -1) + (6 - -9 - 3). 8 -31 - (-10 - -3) - -17 -7 What is 15 + (1 - -9 - 25)? 0 Calculate -39 + (8 + 0 - (-63 - -60)). -28 What is (10 - (-15 + 7 + 28)) + 37? 27 -3 + 2 - (-8 - (-12 - -1) - 6) 2 What
{ "pile_set_name": "DM Mathematics" }
4*b + 1370 + m. Is b composite? False Suppose -m - 9*l = -12*l - 19721, -3*m + 59203 = l. Is m prime? False Suppose 0*b = b. Suppose -6*j + 3*j + 84 = b. Let u = j - -11. Is u composite? True Let y(s) = 373*s**2 - 2*s. Let i be y(1). Suppose 3*v - 4*w + 2*w = i, -4*w = 4*v - 528. Is v a composite number? False Let a be ((-48)/120)/(2/10). Let f(j) = -111*j + 1. Is f(a) prime? True Let k be 6/((-9)/6*-1). Suppose 2*g + k = g. Is (339/(g - -1))/(-1) prime? True Suppose 0 = -3*v - v + 1776. Let y = 1692 - v. Let l = 1813 - y. Is l prime? False Let n(u) = -21*u + 48*u + 18*u - 70 + 48*u. Is n(17) a prime number? True Suppose 3*h = -0*h + 12. Let o(c) = 5*c + 3 + h + 1 - 194*c. Is o(-5) a composite number? False Suppose 6*c = 2*c + 20. Suppose -m - 5*d + 1161 = 0, 0*m = 3*m + c*d - 3463. Is m prime? True Let z(b) = 2*b**3 + b**2 - 9*b - 9. Let t be z(-9). Let i = -398 - t. Is i prime? True Is -15 - -21 - (-19382 + 1) a prime number? True Let c(i) = i**2 - 4*i - 8. Let t be c(-4). Let j(q) = 27*q**2 - t*q**2 - 82 + 77 + 81*q**2. Is j(2) prime? True Let w(l) = l + 30. Let j be w(-15). Is 292 - j/10*-2 composite? True Let y(p) = 4305*p**2 + 4*p + 1. Is y(-2) composite? True Let a be (-66)/(-14) + (-6)/(-21). Suppose -423 = -a*n + 92. Is n prime? True Let x be (3/2)/((-5)/(-1560)). Suppose 4*a + 4*v = 384, -5*a + v + x = -0*v. Is a a prime number? False Let n(y) = 2000*y - 191. Is n(3) prime? False Let y be 4 + (-8)/(-4) - 1. Let o be 6/(-4)*(2 + -12). Is y/o + (-663)/(-9) a prime number? False Suppose 0 = 18*c - 44*c + 346502. Is c a prime number? True Let k = -97 - -113. Is 4/k*-662*(0 + -2) prime? True Let g(r) = 56*r**2 + 52*r + 601. Is g(-20) a prime number? True Suppose 2*p - 5*p = -24. Suppose -1571 = p*n - 4203. Is n a prime number? False Let a(g) = -66*g + 13. Suppose 41*r - 43*r - 6 = 0. Is a(r) prime? True Let b be 2/6 + 12940/(-36)*-15. Let p = b - 3599. Is p composite? True Suppose 635 = 4*z + 3*n, 5*z - 814 = 7*n - 4*n. Is z prime? False Suppose 0*h - 3*u = -4*h + 46, -2*u = -2*h + 22. Suppose -12*z - 373 = -h*z. Is z a composite number? False Suppose -2*p = -470 - 390. Suppose 3*d - 1719 = -5*w, -2*w - p = -2*d + 716. Is d a prime number? False Suppose 0 = c - 5, f + 5 + 0 = 2*c. Suppose -f*v + 777 = 2847. Let p = 745 + v. Is p prime? True Let o(g) = g**3 - 8*g**2 - 10*g + 11. Let n be o(9). Let d be (n/3)/((-6)/(-45)). Suppose j = 4*m - 88, -j + d*j = 4*m - 100. Is m a composite number? True Let s = -13 + 7. Let o(j) = -7*j**2 - 5*j + 1. Let r(x) = x**2 - x. Let g(k) = o(k) + 6*r(k). Is g(s) a prime number? True Let u(r) be the third derivative of -1/120*r**6 + 1/10*r**5 + 0*r + 0 + 1/8*r**4 + 1/2*r**3 - r**2. Is u(5) a prime number? True Let q = 10488 - -8135. Is q a composite number? True Suppose -3*l - 37*l = -60280. Is l a prime number? False Let f = -600 - -1339. Is f composite? False Let s = 7 + -5. Suppose 2*j - 3*h = 472, j - 727 = -s*j - 5*h. Is j composite? False Let g = -664 - -1334. Suppose 4*w + g = 5*r, -5*w = 5*r - 0*w - 670. Is r prime? False Suppose -4*z + z + 4*f - 193 = 0, -3*z - 228 = 3*f. Is (6 + -4)*-2 - z a prime number? True Let g be (-24)/56 - ((-10)/7 - -1). Suppose 2*h = g, -2*d + 3*h + 144 = -430. Is d a composite number? True Suppose -7*j = 555 - 11979. Suppose -6*r = -642 - j. Is r a composite number? False Let z be 11/11 - (-2)/2. Suppose -795 = -5*p - z*f, -3*p + 6*f - 3*f + 498 = 0. Is p composite? True Let o = 277 + -111. Let m = o + 277. Is m composite? False Let v be (336/(-20))/(4/(-10)). Suppose p = 4*p - v. Is p a composite number? True Let s(j) be the third derivative of -j**6/15 - j**5/60 - j**4/3 - 19*j**3/6 + 7*j**2. Let f(z) = -8*z**3 - 7*z - 18. Let q(i) = 6*f(i) - 5*s(i). Is q(-4) prime? True Let q(m) = -371*m + 6. Suppose 2*t = t - 5*b + 2, -3*t - b = 8. Is q(t) prime? False Let z(c) = 2786*c**2 - c + 1. Let g be z(2). Suppose -11119 = -b + 3*y, -3*y + g = b + 2*y. Is 4/14 - b/(-56) prime? True Let q = -2 + -8. Let v = q - -7. Is 2 - (v + -95 - 3) a prime number? True Suppose 2 - 12 = -2*n. Suppose 0 = 4*o + 2*u - 942, o + n*u - 214 = 44. Is o a prime number? True Let a(x) be the second derivative of x**4/12 - x**3/3 - x**2 + 3*x. Let m be (34/1)/(-3 - -5). Is a(m) a prime number? False Suppose 3*g + 5*o = 25064, 0*g = -4*g - 2*o + 33414. Is g a composite number? False Let f = -2832 - -3055. Is f a composite number? False Let q(c) = -c**3 - 3*c**2 - 5*c - 3. Let y be q(-4). Suppose -y*r + 27*r = -4014. Is r a composite number? True Suppose 0 = 5*h - 3*x - 71, -x + 6 = x. Suppose -5*a = -a - h. Suppose 0 = 4*b + 5*c - 679, 4*b + a*c - 220 - 456 = 0. Is b composite? True Let n(b) = b**3 + 29*b**2 + 6*b + 61. Is n(-17) composite? True Suppose -10 = -5*v, 2*x - 5 = v + 9. Suppose -5*q = -9*q + x. Suppose -4*w + 5*w = -2*l + 20, q*w + 4 = 0. Is l prime? True Suppose 0 = -a + 13*a - 56652. Is a composite? False Let r = -1447 + 2193. Suppose -10 + 34 = 6*m. Suppose -h + 887 = m*d, 5*d + r = 4*h + 1881. Is d composite? False Let x = 8019 + -4692. Is x prime? False Let g = 20 + -11. Let u(h) be the second derivative of 17*h**3/6 + 5*h**2 - h. Is u(g) prime? True Suppose 0 = -5*j + 4*j - 221. Let a = j - -1119. Is a a composite number? True Let w = -49924 - -77897. Is w a composite number? True Let w be (-1 + 5/20)*188. Is 4/(-3)*w/2 a composite number? True Suppose 2*k = -4*g + 18, -3*g + k = 2*g - 12. Suppose 4*v - g*l - 80 = 0, -2*v = -4*l + 9 - 59. Is 1774/4 + v/(-34) a composite number? False Suppose 3*p - 135 = -0*p. Suppose -2*i = -235 + p. Suppose -2*c = 3*c - i. Is c a prime number? True Let w be 365 - (-1 - (-2 - 2)). Suppose 5*l - q - 979 - 936 = 0, 4*q = -l + w. Is l prime? False Let w be 878*(1 - 2)/(-1). Let g = w - 525. Let r = -234 + g. Is r a prime number? False Let x(y) = 6*y**2 + 10*y - 1. Let k be x(-5). Suppose 3*b - 66 - k = 0. Is b a prime number? False Suppose -1352 = -6*u + 2*u. Suppose u = 2*l - 1430. Is 1*l/(16/4) prime? False Let t(r) = 55*r - 6. Suppose 3*d = 7*d - 12. Suppose -38 = -5*j - d. Is t(j) a prime number? True Suppose -2*w - 4*i + 5*i = -32171, 0 = -4*i + 12. Is w a prime number? True Let l(w) = -11*w**2 - 2*w + 3. Let o(k) = -12*k**2 - 2*k + 4. Let i(x) = 4*l(x) - 3*o(x). Let g be i(2). Is (-3)/(-2)*(-1032)/g prime? True Let j be 3/1 + -2 + -3. Is 66 - 6*j/4 a prime number? False Let v(r) = -4*r**3 + 1. Let o be v(-1). Let t = -5 + o. Suppose t = 7*x - 4*x - 483. Is x prime? False Suppose 5*i + 2*h = 6*h + 277281, 3*h + 55465 = i. Is i composite? True Suppose 2*v + 2*s = 0, -s = -0 + 4. Is v/6 + 1235/15 a prime number? True Suppose 4*z - z = 0. Let q(f) = -f - 1. Let g be q(-4). Suppose z = j + g*j - 1508. Is j a prime number? False Let k be -3*(-1 - -234) - 1. Let s = k + 1313. Is s a prime number? True Suppose -13 = -7*h + 1. Suppose 0 = h*k + k, 4*k = -q + 127. Is q a composite number? False Let t be (-10)/65 + (-2)/(-13). Let p(y) = y**2 - y - 1. Let d be p(t). Let q(a) = 432*a**2 + 2*a + 1. Is q(d) prime? True Suppose -3*h + 0*y + 2*y - 4 = 0, 0 = -2*y + 4. Suppose -12 = -3*d, -58 = -l + 2*d - h*d. Suppose -p - p = -l. Is p prime? False Let v be 6 - 3 - 10690/(4/2). Let b = -2557 - v. Is b composite? True Let r(f) = -6*f**2 - 3*f - 19. Let u(q) = -2*q**2 - q - 6. Let p(d) = -6*r(d) + 21*u(d). Let m be p(-9). Is (m/9)/(3/(-9)) prime? True Is 2668 + (-6)/42*-7 prime? False Let r = 12 - -47. Let q = r + -36. Is q prime? True Suppose -2*y - r + 21566 = 0, 5*y + 4*r + 1456 - 55377 = 0. Is y prime? True Is 25678/6 + 4 - 4/6 a prime number? True Let o be (-162)/(-30) - (-4)/(-10). Suppose k - 41 - o = 0. Is k a prime number? False Let d = -3779 + 7678. Is d a prime number? False Suppose 2*s = l - 5, -3*s - 2*l + 3 = -0*s. Is 1*s - (-1980)/3 a composite number? False Suppose 1117 = 4*j - 671. Is j prime? False Let z(c) = -c**2 - 4*c**2 - 13*c - 10*c**2 - c**3 - 4. Let i be z(-14). Is (-12)/(-54) - 10598/i composite? True Let p be (-2368)/(-6) - (-2)/6. Suppose -1217 - 2215 = 52*s. Let d = p + s. Is d a composite number? True Suppose 18*y - 94310 = 16*y. Is y prime? False Suppose -5*l = -3*z + 1819, 3*z + 2*l - 621 = 2*z. Is z a composite number? False Let b(s) = -16*s**3 - 9*s**2 - 8*s - 1. Let j = 16 + -20. Is b(j) a prime number? True Let p(w) = -7*w**2 +
{ "pile_set_name": "DM Mathematics" }