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8 = -n*f + 4*i, -3*i - 6 = 2*f - 2 for f. -2 Let q(f) = -f**2 + 13*f + 23. Let y be q(13). Solve -3*p - y = 5*i - p, -2*i = -2*p + 12 for i. -5 Let m(b) = b**2 + 6*b + 8. Suppose -2*s + 11 = 21. Let n be m(s). Solve k - 1 = 3*u, -n*u - k - 6 = u for u. -1 Let d = 38 + -34. Let m be 33/6 - d/8. Solve -m*j - 15 = 5*x, 2*j + 3 = -x - 3 for x. 0 Let g be (-82)/(-3)*-2*(-12)/16. Suppose 0 = -2*p + 2*y - 2, -p = 3*p + 5*y - g. Suppose 0 = -9*s + 4*s + 50. Solve -p*m = -20, -z - 2*m = z - s for z. 0 Let z = 78 + -78. Let y be 3/18 + (-51)/(-18). Solve -2*a - 15 = -z*d - y*d, 3*d - 15 = a for d. 5 Suppose -13*d + 12*d + 7 = 0. Suppose 2*n - 5 = d. Solve 3*f + 3 = -n, -3*f - 1 = -2*a for a. -4 Let w(z) = z**2 - 10*z + 9. Suppose 0 = j - 0*j - 2. Suppose j*v = -5*u - 3*v + 45, 0 = 5*v. Let m be w(u). Solve 5*g - 35 = -5*l - m*l, 4*l = 3*g for l. 3 Suppose m - 8*q = -6*q + 6, -5*m - 6 = 2*q. Solve -4*p + 2*n - 4 = m, 0 = -5*p - 4*n + 3*n - 12 for p. -2 Suppose 5*f = -3*i + 35, -3*f - 7 = 4*i - 39. Solve 2*o - 4*k + 2 = -8, -k + f = o for o. 1 Suppose 0 = t - 2*t - 2*b + 8, 0 = -4*b + 8. Suppose -12 = -d + 4*j - 2*j, 0 = -t*d - 4*j. Solve d*y - 6 = 5*q, -3*q - 10 = y - 5*y for y. 4 Let b = 50 - 51. Let v be (-1)/(b*(2 + (-9)/5)). Let l(h) = -h**2 - 7*h + 1. Let a be l(-5). Solve -3*q + 0*q = -2*x + a, -q = v for x. -2 Let n be 4/(-14) - (-44)/7. Let s = 58 + -58. Let w(v) = -v**2 - v + 3. Let c be w(s). Solve c*g = -3*i + n, -2*g - i - 3*i + 6 = 0 for g. 1 Let z(b) = b**3 + 65*b**2 - 1014*b + 9. Let y be z(-78). Suppose -2*f + 6 + 0 = 0. Solve 3*d = y, -f*d - 13 = 5*k + d for k. -5 Let g(p) = -p**2 - 28*p - 48. Let f be g(-26). Solve -2*x + f*u - 12 = 0, -2*x - 5*u + 15 = -9 for x. 2 Suppose 16*n = 5*n. Suppose -x - 4*f + 31 = -n*x, -4*x + 49 = f. Solve 5*v = -c + x, -14 = -2*v + 3*c - c for v. 3 Let r = -16 - -7. Suppose 3*i + 12 = 0, 5*i = 3*p - 6*p - 50. Let o be (p - r)*0/2. Solve z - 5*w = 16, o = z + 3*z + 3*w + 5 for z. 1 Let b(a) be the second derivative of -a**3/3 - 10*a**2 - 36*a. Let u be b(-10). Solve u = 4*z - 4, -4*j + j - 4 = -z for j. -1 Let d(h) = -h**2 - 10*h - 2. Let i be d(-9). Let x = 12 - i. Let g be (-15)/(-4) - x/(-20). Solve 0 = g*n - 8, -n - 19 = 4*j - 1 for j. -5 Let t(y) = 3*y**2 + 6*y - 5. Let n be t(1). Suppose n*q + 0*q - 16 = -3*x, 3*q = 2*x - 5. Solve 0 = -4*m - x*u, 2 = u + 1 for m. -1 Let v = -28 - -30. Let p(u) = -u**2 - 11*u - 9. Let k = 8 - 17. Let d be p(k). Solve -v*i + 3*a = d, 11 + 0 = -4*i - a for i. -3 Suppose 0 = 5*d + b - 27, d - 65*b + 64*b = 3. Solve -d*c - z - 4*z + 10 = 0, 2*c - 3 = -3*z for c. 3 Suppose -6*q + 26 = -16. Solve -2*l + q*l + 11 = 2*g, -5*g = 4*l + 22 for l. -3 Let k = 285 - 264. Solve -2*h + 5*h = -3*t - k, 2*h - t = -2 for h. -3 Let t(b) = 14*b + 672. Let s be t(-48). Let o = -4 - -9. Let v be o*(0 + (-2)/(-5)). Solve s*x - 5*z + 11 = 2*x, v*z = -3*x + 11 for x. 3 Let m be (72/(-40))/((-3)/5). Solve 4*s - 2*x - m = 3*x, -5*s - 5*x + 15 = 0 for s. 2 Let m(t) = t**3 - t**2 + 10*t - 21. Let h be m(2). Solve 3*c - 3*v + 2*v = 14, h*c = -2*v + 17 for c. 5 Suppose 23*y - 130 = -84. Solve -5*m + y*x + 4 = -10, 10 = 4*m - 2*x for m. 4 Let q = 50 + -48. Suppose -2*w = -2 + 2. Solve 3*b = -w*r - 3*r + 3, 2*b - 5*r - q = 0 for b. 1 Suppose 54 = 8*h - 82. Solve 0 = -5*c - 3*z + 5*z + h, -c - 7 = -3*z for c. 5 Let t(u) = 3*u**2 - u. Suppose -2*g - 3*g - 5 = 0. Let o be t(g). Let j = 1 + 3. Solve 20 = 5*l - o*x - x, 0 = -j*l - 2*x - 2 for l. 1 Suppose 14*i = 29*i - 60. Solve 3*q = 4*p - 1, 4*p + 0*p = 4*q + i for q. -3 Let z(t) = 2*t**2 + 7*t. Let h be z(-5). Let y = -11 - -8. Let i = 5 + y. Solve -o + 4*m + 3 = -12, i*m + h = -o for o. -5 Let m be 9 - 4 - 9 - -8. Suppose 0 = -2*g + 4*j - 8, -g - 2*g + 2*j = 0. Solve -m*r + g*w - 21 = 3, 4*w + 2 = -2*r for r. -5 Let j(t) = 11*t - 95. Let x be j(9). Solve -g - 2*u = x + 7, 4*u + 2 = 2*g for g. -5 Suppose -4*v + 7*v - 6 = 0. Let d(o) = -o**2 - 3*o**2 + 2 + 6*o**v + 2*o - o - o**3. Let g be d(2). Solve 8 = -y - 3*y + 3*w, -w = -g*y - 8 for y. -2 Let m = 31 + -26. Suppose 0 = f - 2*f + u + 4, m*f - 2*u - 17 = 0. Solve -3*i = 5*x - f, 3*x = 2*i - 2*x + 23 for i. -4 Suppose 2*r - 8*w - 14 = -4*w, -2*r + 14 = 2*w. Solve -2*m - 12 = 5*d + 8, -4*d + r = -3*m for m. -5 Suppose 5*l - 2*u + 11 = -0*u, -2*u = 2*l - 4. Let b be 3 + l - (1 - -1). Solve -2*v + 2 = -4*t - b*v, 3*t + 5*v + 34 = 0 for t. -3 Suppose 72*r - 108*r = 0. Solve 4*h - 3*h - 3*x + 4 = r, 3*h + 3*x - 12 = 0 for h. 2 Let m(f) = -f**2 + f + 8. Let k be (-1 + 0)*(6/3 - 2). Let q be m(k). Solve 0 = 3*b - 3*x + 9, -2*b - 4*x = x - q for b. -1 Suppose -154 = 8*i + 46. Let h be (-15)/i - (-4)/10. Solve l = -0*l - h, -2*v - 11 = l for v. -5 Let g(h) = -2*h. Let d be g(-1). Suppose -5*b + 25 = -u - 2*u, -d*u = 4*b + 2. Solve -3*r = -4*j - 4, -24 = b*j - 0*j + 4*r for j. -4 Let z be (-666)/(-234) - (-2)/13. Solve -5*n + 6 = 2*k, n - 2*k - 12 = -z*n for n. 2 Let d(b) = -24*b - 2. Let w be d(-1). Let p = w - 15. Let u be (p/(14/16))/2. Solve -m = -s - 7, 0*s - u = 2*m + 4*s for m. 4 Let n = -822 - -825. Solve -n*p + 2*p + 7 = -5*q, -3*q = 2*p + 12 for q. -2 Suppose 4*n - 18 = 3*c - 32, -4*n = 3*c + 2. Let j be 3*(-4)/6*-10. Solve -17 = 5*r + c*x, 0*x = 5*x - j for r. -5 Let f be -4 + 45/3 + 6. Solve -21 = g - 0*g - 5*p, 3*g + p = f for g. 4 Let g(q) = -3*q - 46. Let o be g(-16). Solve 0 = 4*y + o*p - 6, 0 = 5*y + 6*p - p + 5 for y. 4 Let i = -1592 - -1596. Solve -3*p - 4*q = 3 + 12, 0 = i*q + 12 for p. -1 Suppose 3*a - 6*a = -15. Suppose y = -r + 3, -y + 0*r + a*r = 3. Solve -13 = -v - y*c + 6*c, -4*c = v + 19 for v. -3 Let c = 623 + -623. Let b(f) = -f**2 + 6*f + 6. Let r be b(6). Let w(u) = u**3 - 6*u**2 + 2. Let s be w(r). Solve -p - v + 9 = c, 2 = s*p - v - v for p. 5 Let s = -148 + 164. Solve 5*y - 9 = -2*z, -3*y + s = -4*z - 5 for z. -3 Let n = 456 - 452. Solve -4*v - n*a = 24, -v + 4*v = -a - 8 for v. -1 Let j(t) = -t**2 - 5*t. Let g be j(-5). Suppose 96 = 5*b + 4*a, 54 = 3*b + 2*a - 2. Let u = 13 + -8. Solve g = 2*z - m - 3 - 1, 0 = -u*z + m + b for z. 4 Let i(q) = -7*q + 45. Let w be i(6). Let c(o) = -4*o**2 + 6*o. Let x be c(4). Let j be (12/(-10))/(6/x). Solve -h - 4 = -2*m - 4*h, 4*m - w*h = j for m. 2 Suppose 5*n - 3*k = -70, -15 = -4*k + k. Let q(v) = -18 - 29*v + 54*v - 27*v. Let w be q(n). Solve g + 4 = 3*t + 5, -5*g + 24 = w*t for t. 1 Suppose -44*u = -52*u + 16. Let c(k) = -k + 5. Let d be c(5). Suppose d = 4*y - 2*b - 4, -2*y = y + 5*b - 29. Solve 0 = -3*o + u*w - y, 2*o - w = w for o. -3 Suppose 0 = 2*y - 3*s, -y - 3*s + 3 = -2*y. Let x be (-4)/4 + 2 + y. Suppose u - x = -0. Solve -u = 2*w, -3*p + 0*p = 4*w + 5 for p. 1 Suppose -27*l + 31*l = 36. Suppose 20 = l*u - 25. Solve -3*f + 28 = o - 6*o, o - u*f + 10 = 0 for o. -5 Let g = 10 - -6. Suppose -3*h - g = -7*h. Solve -5*z - 20 = k, -4*k + 40 = -0*k - h*z for k. 5 Let l(c) be the third derivative of -c**5/60 + 3*c**4/4 - 14*c**3/3 - 5*c**2 - 2. Let f be l(16). Solve -r + 0*r - 9 = -3*j, 31 = 5*r + f*j for r. 3 Let j(n) = 2*n - 15. Let c be j(10). Suppose c*k - 28 = y + 2*y, 3*k - 2*y - 17 = 0. Solve -a = -3*b - 2, k*b + 2*a - 1 - 3 = 0 for b. 0 Suppose -5*h + 21 = c, 0 = c - 2*c - 3*h + 13. Solve 1 = -r - 4*k, c + 0 = -k for r. 3 Let z = -303 + 309. Solve 1 = v - 3*q, 0 = 3*v - 5*q + 3 - z for v. 1 Let c be (-2)/1*(3 - 5). Suppose -5*k + 3*w = 2, -6 = 3*k - 7*w + c*w. Solve -2*n - 2*g = -4, -3*n = n + k*g - 2 for n. -1 Let l = -3375 - -3379. Solve 0 = h - 5*i - 26, l*h - 2*i - 14 = -0*h for h. 1 Let k(n) = -n - 2. Let f be k(-4). Solve -5*g + 5*i = 40, f*i - 12 = 4*g + 10 for g. -3 Let a be (8 - 6) + 6/2. Let g(j) = 4*j**2 + j + 1. Let c be g(-1). Suppose -c*m = m. Solve m*f - 5*v = f - a, 4*f - 4*v = -4 for f. 0 Let k be (-4)/22 - (-1656)/(-88). Let o = 5 - k. Solve 3*d + 2*i + 9 - o = 0, 0 = 4*i - 12 for d. 3 Let z = 15 - 29. Let w = z + 17. Solve 4*j - w = 3*j, -9 = -2*h - 3*j for h. 0 Let j(c) = c**2 + 20*c + 21. Let i be j(-19). Let q be (24/72)/(i/96). Solve -25 = -5*h, -n - 3*h + q = h for n. -4 Let c(k) = -k**3 + 16*k**2 + 19*k - 25. Let l be c(17). Solve -4*x - l = z, -x - 4*x = z + 11 for x. -2 Suppose -4*m + 2*w + 66 = 0, -5*m = -w + 4*w - 66. Suppose -4*d - 8 = 0, d - m - 8 = -5*c. Solve -4*h + 4 = -t, c - 13 = -4*h for t.
{ "pile_set_name": "DM Mathematics" }
(x). What is the second derivative of a(l) wrt l? 12 Find the first derivative of -114 + 697 - 316 - 257*p wrt p. -257 Let p(a) be the second derivative of -a**6/15 - 11*a**4/2 + 157*a**3/6 + 216*a. What is the second derivative of p(y) wrt y? -24*y**2 - 132 Let m = -49 - -68. Differentiate 9 - 3*d**4 + m*d**4 + 23 wrt d. 64*d**3 Let v(n) = -44*n**6 - 5*n**3 - 2*n**2 + 70. Let w(i) = 45*i**6 + 6*i**3 + 2*i**2 - 71. Let u(p) = -6*v(p) - 5*w(p). Find the third derivative of u(y) wrt y. 4680*y**3 Let v = 27 + -24. Find the third derivative of 2*c**2 + 14*c**3 + 4*c**2 + 6*c**v + c**3 wrt c. 126 Let v(y) be the second derivative of 0 + 0*y**5 + 0*y**6 + 0*y**2 + 0*y**3 - 2/3*y**4 - 31*y - 1/42*y**7. What is the third derivative of v(n) wrt n? -60*n**2 Let c be ((-88)/24)/(1/(-3)). Suppose c = 5*r - 4. What is the third derivative of 7*g**3 - 5*g**r - 2*g**2 - 2*g**2 wrt g? 12 Find the third derivative of -46696*i**5 - 4 + 4 + 881*i**4 + 46698*i**5 - 887*i**2 wrt i. 120*i**2 + 21144*i Let g be (-65)/(-25) - 3/5. Differentiate -9*l + 11 + g*l - 13 + 21 with respect to l. -7 Suppose 2*v = g + 11 + 14, 5*v - 75 = 5*g. What is the second derivative of -2*i**2 + 11*i + v*i**5 - 4*i**5 + 2*i**2 wrt i? 120*i**3 Let k(z) = 13*z**3 - 28*z**2 - 364*z. Let r(g) = g**3 - g. Let x(a) = k(a) - 5*r(a). What is the second derivative of x(v) wrt v? 48*v - 56 Find the first derivative of -1210*y + 243 + 78 + 1147*y wrt y. -63 Let t(l) = -l**4 + l**2 + l - 1. Let q(y) = -438*y**4 + 7*y**2 - 199*y - 7. Let b(g) = -q(g) + 7*t(g). What is the second derivative of b(a) wrt a? 5172*a**2 Let w(m) be the third derivative of m**4/2 - 6*m**2. Let s(o) = 11*o + 1. Let t(b) = 6*s(b) - 5*w(b). What is the first derivative of t(r) wrt r? 6 Suppose 4*w + 1 = -71. Let f be 87/27 - (-4)/w. What is the first derivative of 2 - 4 + f*k + 1 - 2 wrt k? 3 Let b(w) = -163*w**3 - 34*w**2 - 126*w - 17. Let j(l) = -54*l**3 - 12*l**2 - 42*l - 6. Let y(k) = -6*b(k) + 17*j(k). Find the second derivative of y(g) wrt g. 360*g Suppose -4*j = 3*j - 14. Differentiate 8*k**2 - 19*k**j - 13 + 25 with respect to k. -22*k Let p(v) = v + 12. Let c be p(-3). What is the derivative of 9*r - 28 + 18*r - c*r + 11 wrt r? 18 Suppose l + 3*u + 12 = 0, -3*l - 3*u - 21 = -l. Let x = l + 9. Find the third derivative of 3*v**6 + 0*v**2 - 2*v**2 - v**6 + x*v**2 wrt v. 240*v**3 Let m be -3*(-5)/15 - -1. What is the third derivative of -2*c**4 + 6*c**4 + 0*c**4 - 12*c**2 - m*c**2 wrt c? 96*c Suppose 2*z = y, -y + 2*z - 18 = 3*y. Let t be (y/6)/((-1)/2). What is the third derivative of 3*w**3 + 0*w**t + 11*w**2 - 16*w**3 - 3*w**2 wrt w? -78 What is the derivative of 114*n**3 - 123*n**3 + 134 + 111 + 273*n**3 wrt n? 792*n**2 Find the second derivative of -5 - 9 + 30*c**5 + 3 - 49*c + 48*c wrt c. 600*c**3 Let i(g) be the second derivative of -35*g**4/3 - 21*g**2/2 - 337*g. Differentiate i(d) wrt d. -280*d Let w(d) be the first derivative of -22 - 40/3*d**3 + 0*d**2 + 25*d. Find the first derivative of w(t) wrt t. -80*t Let o(p) be the first derivative of -3*p**4/4 - 74*p**2 - 70. Find the second derivative of o(c) wrt c. -18*c Let w = 184 + -89. What is the third derivative of 3*k**4 - w*k**6 - 3*k**4 + 81*k**6 - 10*k**2 wrt k? -1680*k**3 Let d(m) be the second derivative of 0*m**6 + 0*m**5 + 7/6*m**3 - 19*m + 0 + 0*m**2 + 0*m**4 + 10/21*m**7. Find the second derivative of d(a) wrt a. 400*a**3 What is the second derivative of 459*x**4 + 140*x - 23*x + 31*x + 213*x wrt x? 5508*x**2 Let x(d) be the third derivative of 11*d**2 + 13/60*d**5 + 0*d**6 + 0*d**3 + 1/30*d**7 + 0 + 0*d**4 + 0*d. What is the third derivative of x(s) wrt s? 168*s Find the third derivative of -14*k**3 - 21 + 28*k**3 - 6*k**3 + 3*k**2 wrt k. 48 Find the first derivative of -22*r**3 - 8*r**3 + 1377 - 980 wrt r. -90*r**2 Suppose -3*i - 2*d = -136, -3*d - 89 = -2*i - 4*d. Let z = i + -36. Find the third derivative of -6*h**2 + 3*h**6 + 8*h**6 + h**z wrt h. 1440*h**3 Let y = -168 - -174. Let x(p) be the second derivative of 3*p + 0*p**3 - 2/15*p**y + 0 + 0*p**5 + 0*p**4 + 5/2*p**2. Differentiate x(z) wrt z. -16*z**3 Let r(y) be the third derivative of -y**6/40 + y**5/60 - 20*y**4/3 + 113*y**2. Find the second derivative of r(h) wrt h. -18*h + 2 What is the second derivative of -13*x + 603*x**5 + 234*x**2 - 234*x**2 + 15 - 2 wrt x? 12060*x**3 Let f(h) = 313*h + 381. Let y(a) = -314*a - 392. Let j(x) = -4*f(x) - 5*y(x). What is the first derivative of j(o) wrt o? 318 Let j(y) be the third derivative of 9*y**5/5 - 47*y**4/12 - 10*y**2 - 2. Find the second derivative of j(v) wrt v. 216 Suppose -3*c + 8 = c. Find the first derivative of -7 - 4 + s**c + 5 + 4*s**2 wrt s. 10*s Differentiate -r + r**2 + 1 - 3*r**2 - 4*r - 8*r**2 - 200 with respect to r. -20*r - 5 Let n be -7*(-1)/1*85/119. Let h(p) be the third derivative of 0*p**3 + 3/8*p**4 + 0*p + 0 + 1/6*p**n - 11*p**2. What is the second derivative of h(l) wrt l? 20 Suppose 2*n = 5*z - 11, 5*n + 0 = 10. Suppose 0 = 8*w - z*w - 20. What is the third derivative of w*y**2 + 0*y**2 + 36*y**4 - 10*y**6 - 36*y**4 wrt y? -1200*y**3 Let t(o) be the second derivative of 62*o**3/3 - 7*o**2 + o + 72. What is the first derivative of t(x) wrt x? 124 Let c be (-38)/(-9) - (-4)/(-18). Let p(o) be the first derivative of 0*o - 8 + o + o**c + 3*o + 15. Find the first derivative of p(b) wrt b. 12*b**2 Let u(a) be the second derivative of 17*a**7/21 + 17*a**4/2 - 111*a. What is the third derivative of u(w) wrt w? 2040*w**2 Let l(k) be the first derivative of -106*k**5 - 14*k**3 + 3*k**3 - 21 + 102*k**5. Find the third derivative of l(f) wrt f. -480*f Suppose 668 = -30*d + 34*d. Find the third derivative of d*f - 6*f**2 - 8*f**6 - 167*f wrt f. -960*f**3 Let n(a) = -2*a**3 + a**2 - a - 2. Let w(k) = -532*k**3 - 247*k**2 - 57*k - 114. Let b(z) = -57*n(z) + w(z). What is the third derivative of b(o) wrt o? -2508 Suppose -2*o = -9 - 1. Find the second derivative of -3*u + 36*u**5 - 5*u - 2*u**o wrt u. 680*u**3 Let x(c) = -136*c**4 + 5*c**2 - 5*c + 2. Let v(t) = t**4 + t**2 + t + 1. Let z(m) = 2*v(m) - x(m). What is the third derivative of z(d) wrt d? 3312*d Let i(w) = 32*w**4 + 12*w**3 + 6*w**2 - 3*w - 109. Let f(r) = -2*r**3 - r**2 + 1. Let u(s) = -6*f(s) - i(s). Find the second derivative of u(o) wrt o. -384*o**2 Let u(c) = 10*c**3 - c. Let a be -2 + 2/(-1) + 1. Let i(v) = -10*v**3 + 2*v. Let m(x) = a*i(x) - 2*u(x). Find the second derivative of m(d) wrt d. 60*d Let q be (8/10)/(-7*7/(-490)). Let y(z) be the first derivative of 0*z**2 + 0*z**3 + 1/4*z**4 + 5 - q*z. What is the derivative of y(r) wrt r? 3*r**2 Let p(d) = -15*d**4 - d**3 - 3*d**2 - 9*d - 13. Let z(k) = k**4 + k**3 + k**2 - k + 2. Let i(o) = p(o) + 3*z(o). Find the second derivative of i(t) wrt t. -144*t**2 + 12*t Find the second derivative of -3*l + 3*l**3 + 6*l**2 + 4*l - 3*l**3 + 14*l + 3 + l**3 wrt l. 6*l + 12 Let m(w) be the first derivative of 57*w**7/7 - 20*w**3 - 119. What is the third derivative of m(b) wrt b? 6840*b**3 Let x(w) = -17*w**2 - 10*w. Let h(c) = 59*c - 27*c - 31*c - c**2. Let b(k) = 3*h(k) - x(k). What is the second derivative of b(n) wrt n? 28 Let n = -110 + 113. Let h(y) be the first derivative of y**2 + 0*y**n - 1/4*y**4 + 6 + 0*y. What is the second derivative of h(o) wrt o? -6*o Let x(s) = s**3 + s**2 - s - 1. Let o(b) = 113*b**3 + 5*b**2 - 200*b - 5. Let a(k) = -o(k) + 5*x(k). What is the second derivative of a(y) wrt y? -648*y Let f = 13 - 8. Suppose -22 + 2 = -f*z. Let v(g) = 7*g - 3. Let k(a) = -a**2 + 8*a - 4. Let d(m) = z*v(m) - 3*k(m). What is the second derivative of d(x) wrt x? 6 Let h(f) = f**3 - 6*f**2 + f - 7. Let u be h(6). Let m = 2 + u. Find the second derivative of -3*i**4 - m - 9*i + 1 + 6*i wrt i. -36*i**2 What is the derivative of -134 + 0*d - 474*d**4 + 432*d**4 + 0*d wrt d? -168*d**3 Let d(j) be the third derivative of 0*j**3 + 3/8*j**4 - 1/120*j**6 + 0*j + 0*j**5 + 0 - 5*j**2. Find the second derivative of d(r) wrt r. -6*r Let k(n) be the first derivative of -55*n**2/2 + 11*n - 27. What is the derivative of k(d) wrt d? -55 Let i(r) be the first derivative of 7*r**4/6 + 5*r**3/3 - 8*r + 8. Let g(a) be the first derivative of i(a). What is the second derivative of g(w) wrt w? 28 Let p(t) = t + 5. Let v be p(6). Let
{ "pile_set_name": "DM Mathematics" }
Divide 3 by -7347. -1/2449 Divide 2 by 41. 2/41 Divide -22473 by -6. 7491/2 Divide 6960 by -120. -58 Divide 5 by -1223. -5/1223 Divide 385 by 5. 77 93 divided by -1 -93 Divide -5 by -60. 1/12 12 divided by 88 3/22 Calculate 246 divided by -1. -246 Calculate 460 divided by -5. -92 Calculate -957 divided by -319. 3 18 divided by 1 18 Calculate 4 divided by 194. 2/97 Calculate 21 divided by -44. -21/44 670 divided by 134 5 Calculate 385 divided by 77. 5 Divide -119 by 7. -17 What is -1176 divided by 84? -14 What is 0 divided by 1410? 0 What is -33 divided by 10? -33/10 Calculate -450 divided by 3. -150 Divide -3864 by 3. -1288 Divide 1236 by 6. 206 Calculate 50 divided by -7. -50/7 What is -122 divided by 6? -61/3 Calculate -4860 divided by 1215. -4 Divide -1100 by -100. 11 5 divided by -2010 -1/402 54 divided by 30 9/5 Divide 51 by 51. 1 36 divided by -3 -12 What is 8760 divided by 2920? 3 Divide 2750 by 10. 275 Calculate 600 divided by -200. -3 What is 13994 divided by -1? -13994 2380 divided by 4 595 Calculate 2 divided by -6947. -2/6947 Divide -6972 by -4. 1743 658 divided by 94 7 Divide -26025 by 5. -5205 Divide 287 by -4. -287/4 -23 divided by 8 -23/8 -3 divided by 722 -3/722 Divide 1 by 403. 1/403 What is 68 divided by 1? 68 Calculate 25368 divided by 4228. 6 Divide -9687 by 6. -3229/2 1962 divided by 3 654 What is -107 divided by 4? -107/4 Divide -3 by 29. -3/29 Divide 27 by 1. 27 68 divided by 17 4 Calculate 17855 divided by 1. 17855 Divide 0 by -144. 0 -12 divided by 2 -6 What is 38145 divided by -5? -7629 Calculate 59 divided by -3. -59/3 Divide 96 by -65. -96/65 Calculate 3771 divided by 6. 1257/2 What is 2 divided by 186? 1/93 Calculate 4 divided by -1074. -2/537 70 divided by 14 5 284 divided by -142 -2 -2564 divided by 3 -2564/3 Divide -1 by 131. -1/131 Calculate -4465 divided by -19. 235 What is -8581 divided by 5? -8581/5 What is -151 divided by 23? -151/23 -43284 divided by -4 10821 Calculate 35 divided by -74. -35/74 -714 divided by 22 -357/11 Calculate 5368 divided by 3. 5368/3 Calculate 62 divided by 2. 31 Divide -5 by -74. 5/74 -29 divided by -648 29/648 286 divided by -13 -22 -12670 divided by 181 -70 Divide -17 by 1248. -17/1248 Calculate 5 divided by -111. -5/111 Divide -82 by 15. -82/15 Calculate 1483 divided by -8. -1483/8 Divide -130 by 26. -5 Calculate 75 divided by -2. -75/2 What is 1824 divided by -96? -19 Calculate 13420 divided by 5. 2684 Calculate -2 divided by 170. -1/85 Calculate 1565 divided by -1565. -1 What is -827 divided by -3? 827/3 Calculate 840 divided by 210. 4 Divide -2336 by 4. -584 What is -5 divided by -784? 5/784 Calculate -35 divided by -1. 35 What is -1904 divided by 4? -476 Calculate 3 divided by 39. 1/13 Divide 17052 by -4263. -4 Divide -8 by -2. 4 Divide 222 by -2. -111 Calculate 865 divided by 1. 865 Divide -4104 by -2. 2052 Divide -1001 by 1001. -1 Divide 3330 by 1665. 2 Divide -282 by 94. -3 Calculate -5 divided by 1289. -5/1289 -74 divided by 2 -37 4 divided by 79 4/79 Divide 1558 by 82. 19 Divide -4 by 1124. -1/281 Divide -179 by -5. 179/5 What is 1071 divided by -21? -51 Calculate 10 divided by 7. 10/7 Calculate -2300 divided by 1. -2300 Divide 261 by -3. -87 -253 divided by -14 253/14 Calculate 0 divided by 595. 0 Divide 87 by 4. 87/4 1 divided by 135 1/135 -1806 divided by 2 -903 Calculate -432 divided by -23. 432/23 Divide 30 by -139. -30/139 What is -2325 divided by 155? -15 What is -1254 divided by 3? -418 1580 divided by -13 -1580/13 Calculate 126 divided by 7. 18 Divide -897 by -13. 69 Divide -9854 by 3. -9854/3 Divide -2835 by 315. -9 What is 1742 divided by -1? -1742 What is -2200 divided by 4? -550 538 divided by 6 269/3 What is -11355 divided by -3? 3785 1606 divided by 7 1606/7 Calculate 0 divided by 1112. 0 Divide 23 by -17. -23/17 13 divided by 21 13/21 Divide -66 by 6. -11 124 divided by -31 -4 Divide 8 by -10. -4/5 -954 divided by -18 53 4182 divided by 3 1394 Divide 26 by 27. 26/27 Divide 431 by 9. 431/9 Calculate 1280 divided by 256. 5 What is 14872 divided by 1859? 8 Calculate -1 divided by -1229. 1/1229 What is 72 divided by 6? 12 910 divided by 91 10 1176 divided by 42 28 Calculate 462 divided by 42. 11 -52 divided by 4 -13 What is -3 divided by 344? -3/344 -20 divided by 35 -4/7 Divide 267 by 9. 89/3 Divide 22770 by -3. -7590 Calculate -26595 divided by -9. 2955 0 divided by 613 0 Calculate 2 divided by 1566. 1/783 What is -207 divided by 11? -207/11 -19680 divided by 6560 -3 Calculate -8896 divided by 4. -2224 What is -426 divided by -2? 213 -128 divided by 7 -128/7 Calculate -33265 divided by -1. 33265 What is 116 divided by 4? 29 What is 2 divided by 38? 1/19 Divide -561 by 11. -51 19 divided by 51 19/51 9146 divided by -1 -9146 Divide 561 by 187. 3 -2 divided by -1920 1/960 -4 divided by 1076 -1/269 What is -20 divided by -17? 20/17 -26 divided by 13 -2 What is 1 divided by 7721? 1/7721 What is -1404 divided by 468? -3 What is 1139 divided by -3? -1139/3 -14 divided by -761 14/761 What is -1 divided by -616? 1/616 What is 1 divided by -127? -1/127 Calculate -180 divided by -15. 12 -42 divided by -2 21 Calculate 1405 divided by 5. 281 Divide -2 by 3994. -1/1997 Calculate -37 divided by -37. 1 Calculate 130 divided by -5. -26 -20544 divided by 1712 -12 Divide 495 by 165. 3 Calculate -4 divided by -229. 4/229 Divide 571 by -2. -571/2 Calculate 15868 divided by -3967. -4 80 divided by -4 -20 2 divided by 353 2/353 What is -31 divided by -12? 31/12 What is -5 divided by 151? -5/151 Divide -315 by 21. -15 Calculate -325 divided by -25. 13 Divide 446 by 5. 446/5 What is 2553 divided by -3? -851 Divide 372 by -31. -12 What is 3438 divided by -5? -3438/5 What is -252 divided by -4? 63 Calculate 78 divided by -1. -78 Divide 1812 by 3. 604 Calculate -1095 divided by -3. 365 Divide -15888 by -3. 5296 Divide 8 by 122. 4/61 Divide -367 by 6. -367/6 What is 3 divided by -54? -1/18 Divide -23 by -81. 23/81 What is -312 divided by -12? 26 111 divided by 37 3 -1 divided by 431 -1/431 0 divided by -373 0 Calculate 3024 divided by 84. 36 -1620 divided by 9 -180 Divide -26 by -6. 13/3 Divide 16 by 35. 16/35 Calculate 288 divided by 2. 144 0 divided by 38 0 Calculate -5292 divided by 2. -2646 Calculate 1 divided by -1109. -1/1109 What is -3120 divided by -6? 520 What is -6088 divided by -5? 6088/5 Calculate 5 divided by -1448. -5/1448 What is -666 divided by -6? 111 0 divided by 10 0 Divide -2 by 124. -1/62 What is 1026 divided by -171? -6 What is -12 divided by -3? 4 Calculate -2180 divided by -1090. 2 -50 divided by 10 -5 Divide -800 by -2. 400 153 divided by -4 -153/4 What is -3 divided by -1343? 3/1343 -420 divided by -5 84 Calculate -3350 divided by 3. -3350/3 What is 319 divided by 11? 29 Divide -51 by 17. -3 Calculate 85 divided by 6. 85/6 Divide 1755 by -351. -5 Calculate -264 divided by -88. 3 Divide 174 by 3. 58 Divide 302 by 2. 151 Calculate -291 divided by -6. 97/2 6 divided by -2 -3 Calculate -8 divided by 967. -8/967 Calculate 270 divided by 2. 135 Calculate -2356 divided by 3. -2356/3 What is 5 divided by -4022? -5/4022 Calculate -12 divided by 6. -2 Calculate -1284 divided by -3. 428 -1540 divided by -385 4 -353 divided by 1 -353 -165 divided by -55 3 Calculate -60 divided by 12. -5 Calculate -2290 divided by 229. -10 Divide 12338 by -398. -31 Divide -180 by 12. -15 -2700 divided by -18 150 17272 divided by 4 4318 -1 divided by 99 -1/99 -154 divided by 77 -2 What is -88 divided by -115? 88/115 What is 5 divided by -3723? -5/3723 Calculate 0 divided by 606. 0 2 divided by 722 1/361 Divide 78 by -3. -26 4 divided by 83 4/83 What is -37245 divided by 5? -7449 What is -548 divided by -274? 2 340 divided by 68 5 What is -3 divided by -1972? 3/1972 What is -16 divided by -26? 8/13 2 divided by -670 -1/335 Calculate 2568 divided by 24. 107 -387 divided by 129 -3 372 divided by 93 4 245 divided by 5 49 What is -960 divided by -9? 320/3 Divide 9 by 498. 3/166 Divide 165 by 15. 11 Calculate 146 divided by -2. -73 Divide -96 by -185. 96/185 Divide 2499 by 357. 7 Divide -226 by -2. 113 Divide 48 by 6. 8 Calculate -112 divided by -56. 2 835 divided by -835 -1 -200 divided by -24 25/3 What is -48 divided by 3? -16 Divide 1560 by 5. 312 Calculate -418 divided by -29. 418/29 D
{ "pile_set_name": "DM Mathematics" }
. Let r = 2 - 0. Suppose -b - r = -n. Give d(n). -11 Let v = 1 + 3. Let b(w) = 3 - 7*w + 6*w + v - 1. What is b(6)? 0 Let b(a) = 3*a**2 - 4*a**2 - a - a**3 + 1 + 3*a. Let i = 54 + -56. Give b(i). 1 Let f(k) = -10*k**3 + 2*k**2 + 2*k + 1. Let x = -6 - -5. Calculate f(x). 11 Let k(i) be the first derivative of i**2/2 - 17*i - 19. Let u be 0/2 + (2 - 2). Calculate k(u). -17 Let y(d) = d. Let b(k) = 11*k + 4. Let j(z) = -b(z) + 4*y(z). Determine j(-3). 17 Let l(k) be the third derivative of 3*k**2 - 1/15*k**5 + 0 + 1/3*k**3 + 0*k + 1/24*k**4 + 1/120*k**6. Calculate l(3). -4 Let h(x) be the second derivative of -x**4/4 - x**3/2 + 5*x. Let k(y) = -y**2 + 9*y - 2. Let m be k(9). What is h(m)? -6 Let j(s) = -s**2 + 7*s + 1. Let o be j(7). Suppose 0 = -v - o. Let t(x) = 7*x. Determine t(v). -7 Let g(b) = -b - 2. Let q be (-8)/36 - (-38)/9. Let s be ((-2)/4)/(q/8). Determine g(s). -1 Let g(z) be the first derivative of -z**3/6 - 7*z**2/2 + 4*z - 5. Let v(s) be the first derivative of g(s). Calculate v(-5). -2 Suppose -4*d + 10 = 3*j, -4*d - 27 = -5*j + 11. Suppose j*r = r + 10. Let m(w) = -w**2 + 1 - 2*w**2 + 2*w**3 - w**3 + w. Give m(r). -1 Let q(t) be the second derivative of t**3/2 - t**2 - 3*t. Calculate q(4). 10 Let u(h) = 5*h**2 - 1. Let j(k) = 3*k**2 - 1. Let d(b) = 7*j(b) - 4*u(b). Calculate d(-3). 6 Let i(m) = -m**2 + 7*m. Let h be i(6). Let o(r) = 5 - 5 - 16*r + 17*r + 7. What is o(h)? 13 Suppose 0 = -2*j - 2*o - 4, 7 + 1 = -2*j - 4*o. Suppose j = 2*d - 6*d + 12. Let f(v) = 0 - 3*v**2 - 3 + 0*v**2 - v**2 - v**d. What is f(-4)? -3 Let o = 6 + 1. Let y = o + -7. Let u(v) = v**3 - 4*v - 2*v**3 - 6 + y*v**3 - 6*v**2. Determine u(-5). -11 Suppose -4 = -3*o - 5*c, -2 + 10 = 4*o + 4*c. Let h(m) = -3*m**2 - m**o + 12 - 3*m**2 - 6 + 0*m**2 + 7*m. What is h(-7)? 6 Let x(o) = 5*o + 2. Let y(n) = -2*n - 1. Let r(f) = 3*x(f) + 7*y(f). Give r(0). -1 Let c(d) = -d**3 - d**2 - 2. Let r be 2 - 12/(-18)*-3*1. Give c(r). -2 Let v(w) = -w**2 + 5*w + 2. Let a(g) = -g**3 + 10*g**2 + g - 6. Let y be a(10). Let x(k) = k**2 - 5*k - 1. Let p(o) = y*x(o) + 3*v(o). What is p(5)? 2 Suppose 3*z - 7 = -4*p - 19, 5*z + 3 = -p. Let i(s) = 6*s**2 + s + 3. Let h(t) = 5*t**2 + t + 2. Let d(a) = 4*h(a) - 3*i(a). What is d(p)? 14 Let z(s) = -2*s + 3. Let w be 5/10 - (-14)/4. Determine z(w). -5 Let o(s) = -s**3 - 4*s**2 + 7*s - 5. Let v be ((-1)/1)/(2/(-8)). Let n(c) = -c. Let g(r) = v*n(r) + o(r). Suppose -w - 2*w - 15 = 0. Calculate g(w). 5 Let u(m) = m**2 - 4*m + 2. Suppose 0 - 3 = -q. Let z be u(q). Let j(k) = 5*k**2 + k + 1. Calculate j(z). 5 Let k(j) = -27*j**2 - 5*j - 5. Let z(n) = 121*n**2 + 22*n + 22. Suppose -4*d - 88 = -2*f - 2*f, 4*d + 5*f + 88 = 0. Let b(g) = d*k(g) - 5*z(g). Give b(1). -11 Let a(t) be the second derivative of -t**4/12 + t**3/3 + t**2 - 11*t. Give a(5). -13 Let v(n) = n - 11. Let u(l) be the third derivative of -l**4/4 - l**3/6 + 2*l**2. Let d be u(-1). Calculate v(d). -6 Let m be 9/(-36) - (-13)/4. Let y(q) be the second derivative of q + 2*q**2 + 0 + 1/2*q**m. Determine y(-3). -5 Let l(n) = n**3 + 6*n**2 - 7*n - 4. Suppose -2*r - 18 = 2*w - 0, -4*w - 5*r = 38. Determine l(w). -4 Let x(s) = -s**2 + 5*s + 1. Let c(y) be the third derivative of y**5/12 - 5*y**4/6 - 2*y**3/3 - 2*y**2. Let t(m) = 2*c(m) + 9*x(m). Calculate t(-4). -3 Let n(a) = a**2 + 2. Let d(h) = 2*h**2 + 1. Let v(i) = -2*d(i) + 3*n(i). Let m = 5 + -2. What is v(m)? -5 Let s(m) be the first derivative of -2*m**2 - 2*m - 3. Give s(2). -10 Let t(k) = -3*k**3 + 3*k**2 + 4*k**3 - 3*k**2 - 16. Determine t(0). -16 Let m(z) = -z**3 - 6*z**2 + 4*z - 20. Let b be m(-7). Let n(l) = 14*l - 1. What is n(b)? 13 Let d(i) = -i**2 + 5*i + 2. Let u be d(4). Let n(c) = -2*c + u*c - c. Give n(-4). -12 Let h = 7 - 10. Let r(w) = -2*w**2 - 4*w - 4. Calculate r(h). -10 Let i(p) = p**2 + p - 1. Let m = -46 - 26. Let l be m/(-15) - 1/(-5). Let a(o) = o**2 - 4*o - 5. Let u be a(l). Give i(u). -1 Let s(l) = -1 + 3*l - 3 - 2*l - 3. Give s(6). -1 Let p(g) = -g**2 + g + 5. Let q(b) = -b + 6. Let f be q(0). Let x be 2/9 + f/(-27). Determine p(x). 5 Let s(y) = -1 - 2*y**2 + 3*y**2 - y + 6*y. Let z(b) = b**2 + 4*b - 1. Let l(v) = -4*s(v) + 5*z(v). Determine l(2). 3 Let r be (-2 + 14 + 0)*6/(-9). Let y(f) = f + 7. What is y(r)? -1 Let l(j) = j**3 + j + 3. Let o(z) = 1. Let c(f) = l(f) - 4*o(f). Give c(0). -1 Suppose 3*x = -2*t - 0*t + 2, -5*x - 2*t + 2 = 0. Let h = 6 + x. Let b(d) = 4*d**2 - 2*d + 3*d**2 + 8*d**3 + 1 - h*d**2. Calculate b(1). 8 Suppose 5*f + 5*k - 15 = 0, -4*f = -k - 3*k - 12. Let q(w) = 3 - f*w + 3 - 1 - 4. What is q(3)? -8 Let m(a) = -3*a + 3. Suppose 4*x + 4*c = 0, x - c = -4*x - 18. Give m(x). 12 Suppose -3*v + 4*c + 2 = 3*c, 4*v - 2*c = 0. Let s(f) = 4*f**2 + 3 + 5 - 1 - f**3 - 5*f**v + f. Let i(h) = h + 5. Let j be i(-5). Determine s(j). 7 Let i(u) = -u**2 + 12*u - 15. Let m(p) = -p**2 + 12*p - 14. Let b(q) = -5*i(q) + 6*m(q). Give b(10). 11 Suppose 0 = 3*s - 4*s - 3. Let l be (4/(-3))/(4/(-18)). Let a(m) = -m + 2. Let w(p) = -1. Let r(y) = l*w(y) + a(y). Calculate r(s). -1 Let w(h) = -h - 2. Let q be w(-4). Let m(i) = q + i + 1 - 2. Let x be (-5)/((-10)/4) + -5. Calculate m(x). -2 Suppose 0 = 5*f - 18 - 7. Let u(s) be the second derivative of -s**6/360 + s**5/30 - s**3/6 - 3*s. Let d(k) be the second derivative of u(k). What is d(f)? -5 Let m(h) = -2 - 5 - 3 - 2*h + 1. What is m(-6)? 3 Let l(i) be the second derivative of -i**5/10 - i**4/6 + i**3/6 - i**2/2 - 4*i. What is l(-2)? 5 Suppose 6*z + 31 = z + 4*j, 0 = -z - 5*j + 17. Let q(a) be the second derivative of a**4/6 + a**3/2 - 2*a**2 - 19*a. Give q(z). 5 Let b(d) = 2*d**2 - 7*d + 7. Let n(f) = -f**2 + 4*f - 3. Let l(z) = -2*b(z) - 5*n(z). Suppose -u - 1 = -3*g - 3, g - 11 = -2*u. Determine l(u). -4 Let q = -3 + 3. Let w be (-3 - -2)/2*q. Let p be (1 + -2 - w)*-2. Let m(t) = t**2 - t - 1. Calculate m(p). 1 Suppose -30 = -3*o - 0*o - 3*t, -4*o = 3*t - 35. Let i(n) = -n**2 + 6*n - 6. Let u be i(4). Let m(p) = p**2 + 4 + 4*p**u - p**3 - p + 0*p**3. Calculate m(o). -1 Let s = 102 - 107. Let g = -11 - -17. Let i(f) = g*f**2 - f**2 + 4*f + f**3 - 3*f + 2. Calculate i(s). -3 Let o = -2 + 2. Let f(l) = o*l - l - 5 + 0*l. Suppose 4 = -2*h + 4*h + 5*v, 0 = 5*h + 5*v + 5. Determine f(h). -2 Let v(z) = z**3 + z + 1. Let n(r) = 3 + r**3 - 5*r - 3*r - 3*r**3 - 14 - 6*r**2. Let m(h) = n(h) + 3*v(h). Calculate m(7). 6 Suppose 11*q = 10 + 34. Let c(y) = y + 1. What is c(q)? 5 Let l(r) = -2*r + 6. Let i(p) = 2*p. Let v = 2 - 0. Let x be i(v). Let a be l(x). Let y(m) = m**2 + 2*m + 3. What is y(a)? 3 Let y(w) be the first derivative of w**4/4 - 4*w**3/3 - 3*w**2 + 4*w - 1. Let t be (2 - 1 - 6)*1. Let p be (-1)/2*t*2. Calculate y(p). -1 Let w(h) be the second derivative of -h**3/6 + 3*h**2/2 + h. Let i = 99 - 102. Calculate w(i). 6 Let j(y) = -y - 4*y**2 + 2*y + 3*y**2 + 9. Calculate j(0). 9 Let v(u) = 5*u - 6*u - 178*u**3 - u**2 - 1 + 179*u**3. Calculate v(2). 1 Let j(f) be the second derivative of f**3/6 - 3*f**2/2 - f. Suppose 2*y + u + 4*u = -20, -4*u = 2*y + 16. Give j(y). -3 Let n(j) = -5*j**2 - 6*j - 3. Let m(w) = -9*w**2 - 12*w - 7. Let c(f) = 4*m(f) - 7*n(f). What is c(-6)? -7 Let a be (3 - 0/(-1))/1. Suppose a*o - 1 = -10. Let r(z) = z**3 + 4*z**2 + 4*z + 4. Let c be r(o). Let f(t) = t + 1. Determine f(c). 2 Let m(v) = 3*v**3 + v**2 - v + 1. Let f be (-104)/(-18) + ((-145)/(-45) - 3). Suppose -5*y = -j - 0*j, -5*y = 4*j + 25. Let p be y/(-2*3/f). What is m(p)? 4 Let z be (-15)/(-20) + (-54)/8. Let t(a) = a**2 + 8*a + 8. Calculate t(z). -4 Let u = 8 - -2. Let v be 48/40 + (-2)/u. Let z(i) = 6*i. Calculate z(v). 6 Let j(n) = n**2 + 1. Let z be ((-10)/(-15))/(4/18). Suppose 1 = z*b - 2. What is j(b)? 2 Let p(k) = -6*k**3 - 2*k - 1. Let f be p(-1). Let m = -3 + f. Let d(z) = 4*z**2 + 3 - m*z + 5*z - 5*z**2. Determine d(-3). -9 Let t(i) = 0*i**3 - i**2 - 2*i**3 + 5*i**3. Let f(j) = -j**2 + 6*j - 5. Let c be f(5). Suppose c*n + n = -1. Determine t(n). -4 Let m(o) be the first derivative of 1 - 2*o - 3/2*o**2. Determine m(2). -8 Let v = 15 + -22. Let c(g) = -g - 1. What is c(v)? 6 Let f = 21 + -17. Let i(o) = -o + f - 1 - 2 - o. What is i(-2)? 5 Let a(t) be the first derivative of -2*t**3/3 + 3*t**2/2 - 2*t + 6. Give a(3). -11 Let b(m) = -4*m**2 + 14 + m*
{ "pile_set_name": "DM Mathematics" }
= -t + 1. Let x be l(1). Sort x, 5, r in descending order. 5, x, r Let v be (-18)/4 - (-9)/6. Let j = -24 - -23. Sort -4, v, j in decreasing order. j, v, -4 Let j = 119 - 116. Suppose -j*q - 17 = 5*p - 0*q, -2*q - 6 = -2*p. Sort -4, -3, 1, p in descending order. 1, p, -3, -4 Let k be (3*(-24)/18)/(-1). Put -2, -3, 3, k in ascending order. -3, -2, 3, k Let k = -320/3 - -108. Let j = -46571 + 1397561/30. Let x = -91/6 + j. Put x, k, -2 in increasing order. -2, x, k Let y be 6 + (-48)/(-8) + -6. Let l(v) = -v**3 - 5*v**2 + 5*v - 4. Let i be l(-6). Suppose -2*z - i = -y. Put 5, -3, z in increasing order. -3, z, 5 Let f = -3 - 1. Suppose -116 = -3*w - 5*t, w + 3*w = 5*t + 178. Suppose -2*i - 16 + w = 0. Sort f, 1, i in decreasing order. i, 1, f Let o = 20.53 + -20.33. Let t = 2 + 0. Sort 5, t, -5, o in decreasing order. 5, t, o, -5 Let z = -95 + 99. Let m(k) = 2*k + 1. Let c be m(-1). Let n = z + c. Put 1, -4, n in descending order. n, 1, -4 Let t = 564 - 567. Put t, -4, 12, -1 in increasing order. -4, t, -1, 12 Let c(s) = 4*s - 3. Suppose 3*d + 5 = 11. Suppose d*u + 0 = 2. Let a be c(u). Put 3, 4, a in descending order. 4, 3, a Let c be (5170/(-90))/(-11) - 5. Sort 2, 28, c in decreasing order. 28, 2, c Let j = 160.1 + -10.1. Let z = j - 149. Let l be ((-2)/4)/((-1)/10). Put 2, z, l in ascending order. z, 2, l Let p(g) = 9*g**2 - 188*g - 16. Let i be p(21). Sort -124, i, -5 in ascending order. -124, -5, i Let d be -2 + 58/22 + -1. Let j = -47/22 + d. Sort -1, j, 3/8. j, -1, 3/8 Let i = 0.436 - 5.436. Sort -0.5, -2, i, 10 in decreasing order. 10, -0.5, -2, i Let r = 5.05 + -0.05. Let u = 5.6 + -0.6. Let i = u - r. Put i, -0.2, -3/2 in decreasing order. i, -0.2, -3/2 Let u = -155 - -150. Sort 11, -2, u, -1 in decreasing order. 11, -1, -2, u Let s = 43.032 - 0.032. Let w = s - 47. Put -3, 7/2, -0.4, w in decreasing order. 7/2, -0.4, -3, w Let y = -1.2 - -0.2. Let x = 739.9 + -740. Sort y, x, -5, -7 in increasing order. -7, -5, y, x Let l = 5 - 2. Suppose -21*o = -20*o. Suppose o = -z - 1 + 5. Sort l, z, -4. -4, l, z Let f be (-40)/(-16)*(-8)/(-10). Let a be f/14 - 1/7. Let d = -37 + 32. Put 4, d, a in ascending order. d, a, 4 Let a be 10/(-55) + 20/(-11). Let c(q) = -q + 8. Let w be c(8). Sort a, w, -4 in descending order. w, a, -4 Let i = -0.057 + -0.0139. Put -0.2, i, 4 in descending order. 4, i, -0.2 Suppose 3*a + 15 = 0, 2*j + a = -10 + 35. Suppose 31*l - j = 36*l. Sort 11, 4, l in descending order. 11, 4, l Let h(v) = 2*v**3 - 9*v**2 + 13*v - 8. Let b be h(3). Sort b, -3, -16, -2 in decreasing order. b, -2, -3, -16 Let m(l) be the first derivative of 1/2*l**2 + 0*l - 1/4*l**4 + 0*l**3 - 1. Let z be m(1). Sort z, 5, -3 in decreasing order. 5, z, -3 Let z = -6 + 5.96. Let u = z - -0.34. Let c be (-9)/(-2) - (-12)/(-4). Sort 0.2, u, c in increasing order. 0.2, u, c Let b = -6 - -3. Let c be ((-222)/259 + (-18)/(-21))*-1. Sort 2, b, c, 1 in decreasing order. 2, 1, c, b Let n(y) = y**3 - y**2 - 6*y - 2. Let a be n(3). Let s be (8/(-6))/(3/(7 - a)). Let t = 14 + -9. Sort -0.1, t, s. s, -0.1, t Let m = 0.1729 + -0.5929. Sort m, 1, -0.1. m, -0.1, 1 Suppose -2*g + s + 98 = 0, 4*g - 13*s = -9*s + 196. Sort 0, -2, 3, g. -2, 0, 3, g Let c = 1055 - 1050. Sort -0.07, -1, c. -1, -0.07, c Suppose -6*t + 20 = -2*g - 11*t, -g + 3*t = -12. Sort -0.3, g, -64 in descending order. g, -0.3, -64 Suppose 3*i + 3*x = -15, -137*x = -5*i - 136*x - 25. Sort 8, 2, i in ascending order. i, 2, 8 Let n = 71 - 88. Suppose 2*j = -2*j - 68. Let f = j - n. Put -2, 5, f in increasing order. -2, f, 5 Let m = 0.5 + -0.6. Let r = -3.9 + m. Let h = -3.4 - -3.6. Sort r, h, 2/11 in decreasing order. h, 2/11, r Let w(i) = 6*i + 5*i**2 - 7 + i**2 + 15 - 5*i**2. Let d = -15 + 11. Let b be w(d). Sort 2, b, -1 in increasing order. -1, b, 2 Suppose 5*g - 10*g = -4*m - 62, -3*g - m + 27 = 0. Suppose 5*y + 15 + g = 0. Put -1/2, y, -6, -2/5 in descending order. -2/5, -1/2, y, -6 Suppose -3*l + 0*l - 8 = 4*r, 0 = -2*r + l - 4. Sort r, -3, -12, -1/3. -12, -3, r, -1/3 Let k = 801 + -816. Sort k, 4, -3. k, -3, 4 Let x = 387 - 1163/3. Sort -2/27, 4/43, x in ascending order. x, -2/27, 4/43 Let z = 16 + -21. Put 2, z, -4, 7 in increasing order. z, -4, 2, 7 Let i = 85 + -80. Suppose -4*v + i*z + 1 - 9 = 0, -4*v = -z + 8. Let f = -4 - 1. Sort 3, f, v in descending order. 3, v, f Let i = -186 + 185. Sort i, 5, 25 in descending order. 25, 5, i Let s = 439 - 444. Let u(g) = -3*g**3 - g**2 - 2*g - 1. Let i be u(-1). Let v be (i/(-2))/((-3)/(-6)). Put v, -4, s in ascending order. s, -4, v Let b be 20/10*10/4*1. Suppose 3*y - 6*j + 7 = -2*j, 0 = b*j - 5. Sort -5, 0, 5, y. -5, y, 0, 5 Let n be 126/(-3528) - 4/(-14). Sort 16, -1/5, -4, n. -4, -1/5, n, 16 Suppose -2*y + 5*y = -m - 18, -2*m + 9 = -3*y. Suppose -12*a - 12 = -9*a. Sort a, m, -1 in increasing order. a, m, -1 Suppose 130*z = 131*z + 2. Sort 3, z, -40. -40, z, 3 Let r be (-2 + (-540)/(-272))*-4*-2. Suppose -z - 3 = -w, 5*w - 4*z + 2 = 12. Sort 0.1, -1, r, w. w, -1, r, 0.1 Let a = 1 - 0.5. Let t = 4 + -3.93. Let o = t - 0.07. Sort 3, o, a in ascending order. o, a, 3 Let o = -26 - -25.9. Let q = 0.2 + 0.3. Let d = q + o. Sort d, 0, 3. 0, d, 3 Let u = 9.137 - 1.027. Let r = u - 8.1. Sort r, 5, -0.5 in ascending order. -0.5, r, 5 Suppose g + 186 = -3*w - 3*g, 3*w - 2*g + 204 = 0. Let d = -61 - w. Suppose -q = -4*q. Put d, q, -5 in decreasing order. d, q, -5 Suppose -3*u = -9, m + 4*m = -u + 23. Let l be (-2 - (1 - m))/(-1). Sort -3, -14, 5, l in decreasing order. 5, l, -3, -14 Let c = -609.5 + 609. Put -238, c, 0.1, 0.3 in ascending order. -238, c, 0.1, 0.3 Let o = 9 - 5. Suppose 13 = 5*g + o*t - t, 2*g - 30 = 5*t. Suppose 6*x + 4*r + 7 = 3*x, 5*x + 27 = r. Put x, 4, g in descending order. g, 4, x Let k(c) = c**2 + 2*c - 73. Let v be k(8). Sort v, 1, 6 in decreasing order. v, 6, 1 Let a be (-4)/7 - (-24)/42. Let z = 14 + -13.89. Let g = z - 0.01. Sort -4, a, g in descending order. g, a, -4 Let k = 401/111 + 2/37. Let m = -7/2 + k. Let w = -0.44 - -0.04. Sort w, 1/5, m in decreasing order. 1/5, m, w Suppose -2*f = y - 27, f + 2*f + y - 43 = 0. Suppose -4*r = -0*r + f. Suppose -6*g - 6 = -3*g - 3*s, 4*s - 8 = 5*g. Sort 2, r, g in descending order. 2, g, r Suppose 33*d = 42*d + 288. Sort -5, -4, -3, d in decreasing order. -3, -4, -5, d Let k be (-1 - (-3 - 0)) + 5. Let y(c) = -c**3 + 7*c**2 - 2*c + 8. Let r be y(k). Suppose 5*j - 6*j = -4. Sort r, j, 2. r, 2, j Let y = -610 + 606. Put 6, y, -10, -1 in ascending order. -10, y, -1, 6 Suppose -27 = 4*h + 3*j, 4*j = 2*h + 3*j + 1. Let o(i) = i**2 + 8*i + 6. Let s be o(-7). Let f be (9/30)/((-1)/(-2) - s). Sort 2/9, h, f in descending order. 2/9, f, h Suppose 17 = -n + 4*y, -3*n = -5*y + 17 + 13. Put 1, n, 3 in ascending order. n, 1, 3 Let v = 1 - 6. Suppose -7*o = 142 + 201. Let y = -44 - o. Put 1/2, y, v in increasing order. v, 1/2, y Let h = 22 - 12. Let a = -42 - -30. Let l = h + a. Sort l, -0.2, 1/8. l, -0.2, 1/8 Suppose d - 67 = 5*t, -2 = -4*t - 22. Let p = d + -38. Put -11, p, 2 in descending order. p, 2, -11 Let p(j) = j**3 + 8*j**2 + 6*j - 2. Let v be p(-7). Let g = -108 + 109. Put v, g, -5/3 in ascending order. -5/3, g, v Let m = 25.11 + -25.18. Let b = -8 + 14. Put m, b, -4 in descending order. b, m, -4 Let w = 3.08 + -1.9. Let b = w - 0.88. Put b, -1, -0.5, -7 in ascending order. -7, -1, -0.5, b Suppose 0 = -18*o - 2*o - 80. Put 8, o, 3, 0 in descending order. 8, 3, 0, o Let k(n) = -n**2 + 5*n - 7. Let q be 4*(-9)/(-6) - 1. Let b be k(q). Sort -1, b, 2. b, -1, 2 Let o = 177/28 - 27/4. Put -0.2, o, 3 in increasing order. o, -0.2, 3 Let h = -84752/45 + 9078/5. Let l(d) = -33*d + 2. Let f be l(-2). Let v = f + h. Sort 3, 1, v. v, 1, 3 Let x = -3 - -6. Let p = -111 - -107. Sort 4, p, -1/4, x. p, -1/4, x, 4 Let r = -13 - -11. Let w = 7 + -5. Put 3, r, w in increasing order. r, w, 3 Suppose 3*b + 6 = 18. Suppose -b*m = 3*v + 19, 5*m + 17 = -v + 4*v. Sort -3, 4, -5, v in descending order. 4, v, -3, -5 Suppose i + 3*i = -4. Suppose -18*u + 0*u = -18. Sort 20, u, i in decreasing order. 20, u, i Suppose 4*z = -2 - 6, 4 = 3*b + z. Sort 1, -5, 6, b. -5, 1, b, 6 Let n(i) = 23*i - 68. Let j be n(3). Let l(w) = -w**2 + 9*w - 6. Let f be l(7). Sort -4, f, j in ascending order. -4, j, f Let d(k) = k**3 + k**2 - 5*k
{ "pile_set_name": "DM Mathematics" }
3545, -6584, -9623? -12662 What is next in 21755, 90670, 205539, 366368, 573163? 825930 What is next in 23629, 44746, 65855, 86950, 108025? 129074 What is next in -1579, -4320, -8243, -13348? -19635 What is the next term in 152851, 152876, 152937, 153052, 153239, 153516, 153901? 154412 What comes next: -1111029, -2222061, -3333093, -4444125, -5555157, -6666189? -7777221 What is the next term in 481433, 481437, 481441, 481445, 481449? 481453 What comes next: 3600531, 3600533, 3600535? 3600537 What is the next term in -5837152, -5837156, -5837160? -5837164 What comes next: 2956, 4061, 5994, 8755? 12344 What is the next term in -277017, -1108188, -2493475, -4432878? -6926397 What is next in -1470530, -2941035, -4411540, -5882045? -7352550 What is next in 6217, 49763, 167965, 398155, 777665, 1343827, 2133973? 3185435 What comes next: 17036, 136425, 460520, 1091675, 2132244, 3684581, 5851040? 8733975 What is the next term in 83577, 83459, 83131, 82485, 81413, 79807, 77559, 74561? 70705 What is next in 153, 1793, 4527, 8355, 13277, 19293, 26403? 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-33191 What comes next: -884844, -1769685, -2654528, -3539373, -4424220? -5309069 What comes next: 78651, 157248, 235791, 314256, 392619, 470856? 548943 What comes next: 34496, 34463, 34382, 34253, 34076, 33851, 33578? 33257 What is next in 1505, 5567, 12341, 21833, 34049, 48995, 66677, 87101? 110273 What comes next: 251704, 503330, 754956, 1006582, 1258208? 1509834 What is next in 650, 382, -474, -2212, -5126? -9510 What is next in -771295, -771287, -771279, -771271? -771263 What comes next: 18221, 72990, 164301, 292160, 456573, 657546, 895085? 1169196 What is the next term in 18200898, 36401798, 54602698, 72803598, 91004498, 109205398? 127406298 What is next in 89172248, 89172249, 89172250? 89172251 What is the next term in 42288, 84588, 126892, 169200, 211512? 253828 What comes next: -1486578, -2973251, -4459924, -5946597, -7433270? -8919943 What is the next term in -388, -10435, -37680, -90721, -178156, -308583, -490600, -732805? -1043796 What is next in -34199, -34126, -34011, -33854? -33655 What is the next term in -9081666, -18163389, -27245112, -36326835, -45408558? -54490281 What comes next: -13411, -13429, -13469, -13531, -13615, -13721, -13849? -13999 What is next in 12831, 102905, 347335, 823299, 1607975? 2778541 What is the next term in 60188859, 120377704, 180566549? 240755394 What comes next: -201223, -201193, -201143, -201073, -200983? -200873 What is the next term in -701586, -2806384, -6314380, -11225574, -17539966, -25257556, -34378344? -44902330 What is the next term in 51599, 207287, 466769, 830045? 1297115 What comes next: -5308, -4248, -3250, -2314? -1440 What is the next term in -45982, -47160, -48338? -49516 What is next in -21645, -21660, -21697, -21756, -21837? -21940 What comes next: -102, -1058, -3764, -9120, -18026? -31382 What comes next: 174262, 173566, 172870? 172174 What comes next: 8931, 32092, 69497, 121140, 187015? 267116 What comes next: 599370906, 599370904, 599370902? 599370900 What is the next term in -118769, -235612, -352455, -469298? 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-314073 What is next in -701967317, -701967316, -701967315, -701967314, -701967313? -701967312 What is the next term in -513, -2218, -5293, -9930, -16321, -24658, -35133? -47938 What is the next term in -2767911, -2767757, -2767499, -2767137? -2766671 What is next in 8216, 17136, 41332, 88442, 166104, 281956, 443636, 658782? 935032 What is the next term in -235299, -235463, -235635, -235821, -236027, -236259, -236523, -236825? -237171 What is next in -12866173, -25732406, -38598639, -51464872, -64331105? -77197338 What comes next: -5174, -20260, -45268, -80204, -125074, -179884, -244640, -319348? -404014 What is next in -10768, -10651, -10458, -10189, -9844, -9423? -8926 What is the next term in 9489, 9457, 9373, 9225, 9001? 8689 What comes next: -658, -5165, -13520, -25723? -41774 What comes next: 181, 171, 159, 139, 105, 51, -29? -141 What comes next: 2631, 11358, 27437, 52122, 86667, 132326, 190353? 262002 What is the next term in -49487, -83873, -118259? -152645 What comes next: 850888299, 850888300, 850888301, 850888302, 850888303, 850888304? 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{ "pile_set_name": "DM Mathematics" }
f = 249 - -6. Calculate the greatest common factor of f and 165. 15 Suppose 0 = -16*u + 11*u + 525. Calculate the highest common divisor of 70 and u. 35 Let y = -2 - -4. Suppose r - 12 + 5 = -n, -r + 3*n - 1 = 0. Suppose 5*q - 32 = 4*o, r*q + 5*o = 7 - 2. Calculate the greatest common factor of q and y. 2 Suppose 0 = 4*w - z - 2*z + 161, -w + 5*z - 19 = 0. Let a be 1646/10 - w/110. Calculate the highest common factor of 15 and a. 15 Suppose -41 = 5*r - 4*o, -1 = 3*o - 2*o. Let d be 1*(-3 - r/3). Suppose d = 13*j - 11*j - 504. Calculate the greatest common factor of j and 28. 28 Suppose s + 0*s + 28 = -5*n, -4*s + 3 = -3*n. Let m be (-4451)/3 - 36/27. Let l be ((-2)/s)/((-11)/m). Calculate the highest common factor of l and 36. 18 Let r be 4 + (-3 - -3) + -13. Let n(d) = -d**2 - 9*d - 4. Let c be n(r). Let j be 3/(-2 + c)*-60. Calculate the highest common divisor of 3 and j. 3 Let q be (5 - (-7 - (-8 + 3))) + 1527. What is the highest common factor of 26 and q? 26 Let p(d) = -2*d**3 + d**2 - d - 1. Let c be p(-1). Suppose 0*b + 2*b + 258 = c*o, 0 = 5*o - b - 437. Calculate the greatest common factor of o and 11. 11 Let v(y) = -y**3 + 6*y**2 + 3*y + 12. Let f be v(4). Calculate the greatest common factor of 84 and f. 28 Let t(y) = -y**2 + 8*y. Let f be t(6). Suppose 4*b - f = 2*b. Let r = -7811 - -7859. Calculate the greatest common divisor of r and b. 6 Let w be 2/((-6)/(-9) - 0). Suppose 5*g - 49 = -w*l, 5*g - 70 = -5*l + 5. Calculate the highest common factor of l and 117. 13 Suppose -2*y - 585 = -5*r - 0*r, -r = 3*y - 100. Suppose -a + 8 = 3*v, 0 = -3*v - 10 - 5. What is the greatest common factor of r and a? 23 Let a be (-1 + 1/3)*-18. Let f(h) = 2*h**3 - 6*h**2. Let g be f(3). Suppose g = 3*x - 9. Calculate the greatest common factor of a and x. 3 Let s be 10/40 - 2538/(-24). Calculate the greatest common factor of s and 2438. 106 Let t(k) = 59*k**3 - 12*k + 14. Let o be t(2). What is the greatest common factor of o and 66? 66 Let a = 8 + 4. Suppose 0 = 3*o + a, -10 = z - 3*z + o. Suppose 16 + 74 = z*c. What is the highest common divisor of c and 6? 6 Let b(o) = -o**3 - 10*o**2 + 11*o. Let f be b(-11). Suppose 14*x - 154 = -f. Calculate the greatest common divisor of x and 44. 11 Suppose 0 = 5*p - 4*f - 148 - 84, p + 3*f = 54. Calculate the highest common factor of p and 20. 4 Suppose 109*r - 416 = 83*r. What is the greatest common factor of r and 344? 8 Let y be 2439/24 - 78/(-208). What is the highest common factor of 18 and y? 6 Suppose -d - 3 = 5*u, -2*d - d - 9 = -4*u. Let t = d - -6. Let o = 488 - 455. Calculate the highest common divisor of o and t. 3 Let d = 32 + -14. Calculate the greatest common factor of 45 and d. 9 Let i be 0/(-1 - (0 - 3)). Let z(v) be the second derivative of v**5/20 - v**3/6 + 15*v**2 + v. Let s be z(i). What is the highest common factor of 10 and s? 10 Let n(k) = 9*k**2 + 43*k + 20. Let w be n(-12). What is the highest common divisor of 32 and w? 32 Let s be ((-3)/(-2))/((-2)/(-4)). Let d be 13 + s/(-3) + 0. Suppose 5*q - 2*r + 5*r = 111, 5*q - 5*r - 135 = 0. What is the highest common divisor of d and q? 12 Let h = -210 - -430. Suppose q = 11*q - h. Calculate the highest common divisor of 2 and q. 2 Let a(c) = -68*c + 514. Let k be a(6). What is the greatest common factor of k and 159? 53 Suppose 2*a + 3*b = 7 + 5, 3*a = -5*b + 17. Suppose -1 = 2*z - a. Suppose -z*m + 27 + 17 = 0. What is the highest common divisor of m and 88? 11 Let c(h) = -2*h**2 - 12*h + 3. Let u be c(-6). Suppose 2*g + g - u*n = 651, -226 = -g - 2*n. What is the highest common factor of 20 and g? 20 Let v be 2/(-7)*(-10 + -4). Suppose 5*n - 96 = -v*a, 3*n + 2*n - 76 = a. What is the highest common divisor of n and 48? 16 Let h be (-3)/6 + (27/6 - 1). Let w(s) = s**2 - 6*s + 7. Let n be w(5). Let u be 2/4*n + 1. What is the highest common divisor of u and h? 1 Suppose -4*t - 2*q - 2*q + 200 = 0, 5*t = -4*q + 245. Let u(n) = -60*n + 198. Let z be u(3). Calculate the greatest common divisor of z and t. 9 Let g(t) = 15*t - 4. Let u(n) = -30*n + 9. Let m(r) = 7*g(r) + 4*u(r). Let y be m(-8). What is the highest common factor of y and 16? 16 Suppose -3*t + 61 = 247. Let d = t - -150. Let m = d - 61. Calculate the greatest common factor of m and 18. 9 Suppose -5*m - 486 - 274 = 0. Let k be (m/6)/((-1)/3). What is the highest common divisor of 19 and k? 19 Let f(t) = 25*t**2 - 2*t + 1. Let g be f(1). Suppose -x = -3 - g. Let c be 4/(-1 + (-33)/(-27)). What is the highest common divisor of x and c? 9 Suppose 683 = 2*y + 26*t - 29*t, y + 2*t = 338. What is the highest common factor of y and 40? 20 Let j be 6*2*174/116. Calculate the greatest common divisor of 135 and j. 9 Let n = 290 - 102. Calculate the highest common factor of n and 47. 47 Let i(w) = w**2 - 25*w - 77. Let t be i(-4). Calculate the highest common factor of t and 429. 39 Let w be (-117)/(-26)*(-1)/((-1)/56). Calculate the highest common divisor of 140 and w. 28 Suppose -19*p - 148 = -21*p. What is the highest common divisor of 185 and p? 37 Suppose 0*l + l - 2 = 0. Suppose 0 = 5*j - 4*u - 184, 44 = -l*j + 3*j + u. Let p be 15/2*28/21. What is the highest common factor of j and p? 10 Suppose 136 = -6*m + 646. What is the greatest common divisor of 85 and m? 85 Suppose -b = 2*m - 5*m - 3, 0 = -4*b + m + 23. Let o be 13/((-13)/(-6))*b. Calculate the highest common divisor of 6 and o. 6 Suppose 2*s + 15 = -4*w + 99, 3*s = -4*w + 86. Let d = 10 - 7. Let f be (d/2)/(12/40). What is the highest common divisor of f and w? 5 Let p(k) = -k**3 - 2*k**2 - 2*k - 3. Let l be p(-3). Suppose n - 4*n = -9. Calculate the highest common factor of l and n. 3 Suppose -24*s = -23*s + 2*n - 138, -276 = -2*s + 2*n. Calculate the greatest common divisor of s and 84. 6 Let t(l) = 4*l - 3. Let m be t(-3). Let v = m + 79. Suppose 5*s - 7*s = -32. What is the highest common factor of v and s? 16 Suppose i = 74 + 38. Suppose 2*b - i = 4*w + w, 4*w + 168 = 3*b. Let x(p) = 15*p**2 - 3*p - 4. Let d be x(-3). What is the greatest common factor of d and b? 28 Suppose 3*c + 2*b = 524 - 33, 3*c - 3*b = 501. Calculate the highest common factor of 132 and c. 33 Let c(a) = a**2 - 3*a + 5. Let i be c(3). Let z = 6 - i. Suppose 0 = -2*f + 9 - z. What is the greatest common factor of 6 and f? 2 Let t be (-3248)/(-10) + (-64)/80. Calculate the greatest common divisor of t and 6. 6 Let p = 14 - 32. Let v = 19 + p. Let y be 6/(3 - v) - -27. What is the greatest common divisor of y and 20? 10 Suppose -5*t - 235 = -5*h, -53 = -2*h - 4*t + 23. Let i be (17 - 9)/((-7)/(-154)). Calculate the highest common divisor of i and h. 44 Let x(o) = o**3. Let r(q) = 7*q**3 + 2*q**2 + q - 18. Let h(f) = -r(f) + 6*x(f). Let n be h(0). Let k = 63 - 9. What is the greatest common factor of k and n? 18 Let u = -147 + 294. Let a = u + -103. What is the highest common divisor of 22 and a? 22 Let h be -2*10/12*-9. Let b be (1 + -25)/(h/(-15)). Calculate the greatest common factor of b and 48. 24 Suppose -6*n = -2*n - 40. Let t be (((-35)/28)/1)/(1/(-8)). Calculate the greatest common divisor of n and t. 10 Suppose 0 = 4*c + 5*b - 597, 89*b = 90*b - 5. Suppose -q = -3*q + 26. Calculate the highest common divisor of q and c. 13 Let w(s) = -s**3 + 7*s**2 - s + 3. Let p be w(7). Let d = -2 - p. Suppose -d*b + 30 = b. What is the greatest common divisor of 4 and b? 2 Let q be (0 + -2)*(-5)/(-2). Let z be q/2*(-64)/10. Suppose -5 = -4*i + 3. Calculate the greatest common factor of z and i. 2 Let d be (-1)/(1/(-3)) - (12 - 9). Suppose -x = -d*x - 48. What is the highest common factor of 32 and x? 16 Suppose 2*o + 11 = 171. Suppose 9*q - o = 7*q. What is the greatest common factor of q and 4? 4 Suppose 23 = b - 5*j, -b - b + 3*j = -18. Let i(l) = 2*l + 7. Let n be i(b). Calculate the greatest common divisor of 91 and n. 13 Let q = -892 - -937. Calculate the greatest common factor of 345 and q. 15 Let y(o) = 467*o - 17. Let k be y(1). What is the highest common factor of k and 50? 50 Let w = -62 + 68. Let v = -7 + 12. Let f be ((-12)/(-10))/(2/v). Calculate the greatest common divisor of w and f. 3 Let m be (-20)/(-3)*(25 + -7). Let a = 252 - m. Suppose 4*c + 5*k = -21 + a, -2*c - 4*k = -60. What is the greatest common factor of c and 8? 8 Let y be
{ "pile_set_name": "DM Mathematics" }
1000 (base 2) to base 12 -8 Convert -91 (base 10) to base 13. -70 What is -24 (base 10) in base 15? -19 What is -62 (base 7) in base 11? -40 What is -1046 (base 7) in base 12? -275 -1000 (base 2) to base 4 -20 What is 1a (base 16) in base 8? 32 Convert 36 (base 16) to base 4. 312 What is 235 (base 9) in base 13? 11c 13 (base 6) to base 10 9 Convert -8e (base 15) to base 2. -10000110 Convert -5 (base 12) to base 16. -5 -185 (base 12) to base 10 -245 4 (base 13) to base 7 4 -b (base 12) to base 7 -14 Convert -52 (base 10) to base 14. -3a What is -5 (base 16) in base 12? -5 Convert -d (base 15) to base 2. -1101 Convert -10 (base 15) to base 8. -17 Convert 21 (base 16) to base 13. 27 Convert -1100 (base 2) to base 4. -30 -2 (base 5) to base 13 -2 What is -31 (base 11) in base 2? -100010 What is 15 (base 7) in base 8? 14 What is 4 (base 12) in base 2? 100 Convert -6 (base 15) to base 5. -11 What is 92 (base 11) in base 15? 6b 2c (base 16) to base 14 32 -4 (base 11) to base 16 -4 0 (base 8) to base 11 0 Convert -111021 (base 3) to base 13. -217 11 (base 8) to base 3 100 Convert 202 (base 3) to base 9. 22 Convert -8c (base 13) to base 10. -116 What is 101 (base 2) in base 15? 5 Convert 3 (base 10) to base 3. 10 What is 1c (base 16) in base 2? 11100 What is -5 (base 7) in base 5? -10 -10 (base 5) to base 9 -5 Convert 324 (base 6) to base 8. 174 What is -164 (base 8) in base 9? -138 What is 10 (base 10) in base 9? 11 11 (base 13) to base 9 15 -13 (base 10) to base 4 -31 Convert 2 (base 6) to base 13. 2 What is 22 (base 3) in base 10? 8 -3 (base 6) to base 14 -3 What is -41 (base 5) in base 12? -19 Convert -2 (base 11) to base 7. -2 What is 11001111 (base 2) in base 3? 21200 Convert 7 (base 14) to base 12. 7 20 (base 3) to base 9 6 What is 52 (base 7) in base 14? 29 What is 2 (base 5) in base 8? 2 253 (base 12) to base 6 1343 What is 10010001 (base 2) in base 9? 171 What is -2110 (base 3) in base 7? -123 What is -82 (base 10) in base 6? -214 What is 10001 (base 2) in base 6? 25 Convert 416 (base 7) to base 4. 3101 Convert 20 (base 4) to base 5. 13 What is 142 (base 6) in base 8? 76 Convert 51 (base 11) to base 9. 62 What is -3c (base 13) in base 5? -201 -56 (base 9) to base 12 -43 4 (base 12) to base 14 4 Convert 1100 (base 6) to base 11. 20a What is 3 (base 11) in base 13? 3 Convert 3 (base 15) to base 16. 3 4 (base 16) to base 8 4 Convert -82 (base 10) to base 3. -10001 Convert -42 (base 7) to base 10. -30 Convert 226 (base 11) to base 4. 10032 47 (base 16) to base 14 51 What is 4 (base 8) in base 13? 4 2 (base 4) to base 11 2 What is 1 (base 4) in base 13? 1 What is -5 (base 14) in base 12? -5 What is 302 (base 4) in base 2? 110010 What is -1 (base 13) in base 6? -1 Convert 13 (base 8) to base 15. b 111010 (base 2) to base 14 42 Convert 7 (base 14) to base 5. 12 -3 (base 7) to base 11 -3 -33 (base 6) to base 14 -17 2 (base 13) to base 2 10 110 (base 6) to base 14 30 Convert 3 (base 4) to base 3. 10 19 (base 10) to base 11 18 -46 (base 8) to base 4 -212 Convert 20 (base 3) to base 15. 6 What is 0 (base 14) in base 10? 0 45 (base 15) to base 9 72 2 (base 3) to base 10 2 What is a (base 15) in base 9? 11 What is -16 (base 8) in base 11? -13 -46 (base 9) to base 4 -222 What is -13 (base 10) in base 16? -d What is -23 (base 12) in base 7? -36 What is -2 (base 16) in base 3? -2 What is -2 (base 3) in base 8? -2 What is 4 (base 5) in base 16? 4 What is -6 (base 13) in base 6? -10 What is -3 (base 15) in base 8? -3 Convert -2 (base 3) to base 11. -2 Convert -15 (base 13) to base 12. -16 7 (base 13) to base 9 7 What is -1 (base 3) in base 13? -1 Convert -3 (base 14) to base 6. -3 What is -13 (base 6) in base 15? -9 Convert 0 (base 5) to base 13. 0 What is 10 (base 7) in base 8? 7 d (base 15) to base 2 1101 What is -1222 (base 3) in base 4? -311 -23 (base 6) to base 16 -f -42 (base 6) to base 7 -35 354 (base 6) to base 7 262 Convert 2 (base 9) to base 8. 2 Convert -101 (base 4) to base 8. -21 Convert 14 (base 5) to base 2. 1001 Convert -21 (base 7) to base 13. -12 2341 (base 5) to base 14 1aa Convert -231 (base 4) to base 10. -45 Convert -214 (base 7) to base 16. -6d 15 (base 10) to base 7 21 What is -431 (base 8) in base 2? -100011001 64 (base 7) to base 3 1201 Convert 114 (base 5) to base 6. 54 What is 2e (base 15) in base 8? 54 Convert 2 (base 6) to base 12. 2 Convert 39 (base 10) to base 4. 213 What is 1 (base 6) in base 14? 1 What is 24 (base 11) in base 3? 222 Convert 1 (base 10) to base 4. 1 Convert dc (base 15) to base 5. 1312 What is -1 (base 8) in base 14? -1 Convert -2 (base 4) to base 15. -2 13 (base 5) to base 2 1000 -211 (base 3) to base 8 -26 What is 1 (base 5) in base 8? 1 Convert -5 (base 13) to base 12. -5 What is 4 (base 7) in base 10? 4 0 (base 2) to base 9 0 Convert -3 (base 16) to base 7. -3 6 (base 10) to base 9 6 -63 (base 8) to base 7 -102 Convert 5 (base 14) to base 13. 5 What is -1042 (base 5) in base 14? -a7 What is 9 (base 14) in base 8? 11 Convert 59 (base 12) to base 6. 153 Convert -20 (base 15) to base 13. -24 3 (base 14) to base 4 3 What is -18c (base 16) in base 10? -396 Convert 5 (base 12) to base 5. 10 Convert -112 (base 5) to base 14. -24 -2 (base 10) to base 11 -2 -52 (base 14) to base 10 -72 -11001 (base 3) to base 4 -1231 Convert 0 (base 14) to base 3. 0 What is -2 (base 5) in base 15? -2 Convert -1 (base 16) to base 7. -1 Convert 11100 (base 3) to base 6. 313 What is a (base 16) in base 4? 22 Convert 5 (base 13) to base 6. 5 -13 (base 7) to base 9 -11 Convert -1 (base 3) to base 7. -1 12 (base 6) to base 11 8 What is 1 (base 16) in base 7? 1 Convert -11 (base 5) to base 4. -12 12 (base 13) to base 7 21 -32 (base 9) to base 8 -35 Convert -120 (base 7) to base 12. -53 Convert -2 (base 6) to base 2. -10 -8 (base 12) to base 8 -10 What is 14 (base 5) in base 6? 13 Convert 12 (base 6) to base 13. 8 Convert -22 (base 6) to base 3. -112 What is 0 (base 4) in base 5? 0 -227 (base 8) to base 12 -107 -3 (base 6) to base 11 -3 Convert -9 (base 13) to base 4. -21 What is 16 (base 11) in base 5? 32 Convert -42 (base 10) to base 9. -46 What is 212 (base 4) in base 6? 102 Convert -7 (base 15) to base 7. -10 7 (base 9) to base 3 21 Convert -4 (base 6) to base 7. -4 What is 1101 (base 2) in base 3? 111 Convert 143 (base 9) to base 14. 88 10001 (base 2) to base 5 32 -1334 (base 5) to base 16 -db What is 101 (base 2) in base 11? 5 Convert -345 (base 6) to base 14. -9b What is 3a (base 11) in base 5? 133 What is 5 (base 11) in base 13? 5 Convert 12 (base 10) to base 7. 15 What is 36 (base 16) in base 10? 54 What is 11 (base 10) in base 16? b Convert -ec (base 15) to base 6. -1010 Convert 44 (base 8) to base 4. 210 What is -87 (base 9) in base 11? -72 What is -86 (base 13) in base 10? -110 4 (base 8) to base 7 4 -32 (base 4) to base 7 -20 What is 4 (base 10) in base 4? 10 Convert 10000 (base 2) to base 5. 31 What is -22 (base 4) in base 14? -a What is 48 (base 14) in base 9? 71 Convert 11 (base 4) to base 9. 5 Convert 32 (base 4) to base 15. e -6 (base 7) to base 16 -6 What is 7 (base 10) in base 12? 7 37 (base 10) to base 12 31 1 (base 9) to base 13 1 Convert 0 (base 3) to base 13. 0 What is 5 (base 7) in base 9? 5 6 (base 12) to base 2 110 What is 21 (base 6) in base 12? 11 Convert 101010111 (base 2) to base 11. 292 Convert -243 (base 6) to base 5. -344 -16 (base 12) to base 13 -15 What is 0 (base 4) in base 11? 0 Convert -401 (base 5) to base 12. -85 22 (base 10) to base 7 31 Convert -45 (base 7) to base 2. -100001 -1 (base 5) to base 9 -1 -2 (base 7) to base 12 -2 What is -20 (base 14) in base 12? -24 Convert -353 (base 6) to base 4. -2031 Convert 68 (base 12) to base 10. 80 What is 1 (base 6) in base 12? 1 0 (base 4) to base 6 0 -420 (base 6) to base 3 -12210 What is 2 (base 4) in base 11? 2 What is -17 (base 8) in base 13? -12 Convert -2 (base 5) to base 10. -2 What is 2c (base 13) in base 12? 32 Convert -1110 (base 2) to base 9. -15 Convert -14 (base 16) to base 3. -202 0 (base 2) to base 6 0 Convert 2 (base 12) to base 14. 2 Convert 0 (base 4) to base 2. 0 Convert -111 (base 4) to base 10. -21 -3 (base 14) to base 5 -3 -7 (base 10) to base 9 -7 Convert -42 (base 8) to base 15. -24 Convert -58 (base 9) to base 14. -3b What is -1
{ "pile_set_name": "DM Mathematics" }
plify -4 + (sqrt(396) + 2 + sqrt(396))*-4 + (2 + (-5*sqrt(704))**2 + sqrt(704))*-3. -52818 - 72*sqrt(11) Simplify 5*(-2 + 2 + (-2*sqrt(170)*-5)/(-1*sqrt(250) - sqrt(250)) + -1*(sqrt(833) - (sqrt(833) - (4 + (-1*sqrt(833) - sqrt(833)))**2))). -16740 + 555*sqrt(17) Simplify 2*(-1*(sqrt(288) - sqrt(288)*-4*1))/((sqrt(729)*2 + sqrt(729) + sqrt(729))*5). -2*sqrt(2)/9 Simplify (-3*((sqrt(6)*2)/sqrt(3) + sqrt(128) + sqrt(128) + 2))**2 + (5*5*(sqrt(2) - sqrt(50))*5)**2. 648*sqrt(2) + 505868 Simplify 2*(((sqrt(231)/sqrt(11))/sqrt(3) - (sqrt(35)/(sqrt(35)/sqrt(7)) + sqrt(7))) + (sqrt(7) + sqrt(686)/sqrt(2) - (-2 + -4*sqrt(7))))**2. 88*sqrt(7) + 1702 Simplify -5 + (-1*sqrt(168)*3*-3)/(sqrt(600)*2 + sqrt(600) + -6*(sqrt(6)*-3 - sqrt(6))). -5 + sqrt(7)/3 Simplify ((6*(0 + sqrt(162)))**2 - ((sqrt(8))**2 + -3 + sqrt(242) + (-2*sqrt(242))**2)) + (-3*sqrt(3168))/(sqrt(176)*2 + sqrt(11)). -15*sqrt(2) + 4859 Simplify (((sqrt(32) + 3)**2 + 1)*6 + ((sqrt(96)/sqrt(3))**2*3 - (sqrt(512) - (-1 + sqrt(512))**2)))*-6. -5166 - 576*sqrt(2) Simplify ((sqrt(405)*2)**2 + -3 - (-3 + sqrt(80))**2*-4)*3*-3. -17757 + 864*sqrt(5) Simplify 5 + ((5 + sqrt(243) + -1)*2)**2 + ((1*sqrt(3) + sqrt(3))*2 - sqrt(30)/(sqrt(20)/sqrt(2))) + -4. 291*sqrt(3) + 1037 Simplify 0 + (1 + -1 + sqrt(5) + -1*(sqrt(5) + 0))**2*-5 + 3. 3 Simplify 3 + (3 + 0 + ((sqrt(112) + 0)**2 - -2*sqrt(567)) - (sqrt(343) + (sqrt(343) + 0 + sqrt(343) + 0)**2 + (sqrt(343) - ((1*sqrt(343))**2 + 0)))*-5). 88*sqrt(7) + 5263 Simplify 6*(((sqrt(17) + 1 + sqrt(17))*-1 + 4 + sqrt(17)*2 - -1*(-2 + sqrt(34)/sqrt(2))) + -1 + 4)**2. 48*sqrt(17) + 198 Simplify (sqrt(208)*1 - (-3 + 0 + sqrt(13)) - (sqrt(130)/(-1*sqrt(160)) + -1))*5. 20 + 65*sqrt(13)/4 Simplify ((((sqrt(204) - (1*sqrt(204) + sqrt(204) + sqrt(204))) + sqrt(204))*-1 - -2*sqrt(204)*-2)/(sqrt(60)/(sqrt(1715)/sqrt(7))))**2. 7497 Simplify (((sqrt(204) + (sqrt(204) - sqrt(204)*3) - sqrt(204)) + sqrt(204))*6 + 6*(4*sqrt(204) - sqrt(204)))/((-2*sqrt(192) + sqrt(192))*5*-1). 3*sqrt(17)/5 Simplify -3*(-1 + (-5 + 0 + -2*sqrt(192))**2)*-4*6. 11520*sqrt(3) + 57024 Simplify -2 + (((1 + sqrt(192))*-6 - 4*((sqrt(192) - (sqrt(192) + 0)) + sqrt(192)))*-4)**2*3 + -3. 46080*sqrt(3) + 923323 Simplify (((sqrt(80)/sqrt(4) + sqrt(20))*1)/(sqrt(70)/(-1*sqrt(7))) + -5*sqrt(2)*-6 + (sqrt(6) + sqrt(384))/sqrt(3))**2*1. 2738 Simplify (-2*((sqrt(209)*1)/sqrt(11) + 1)**2 - (6*1*sqrt(2736) + sqrt(2736) + sqrt(2736) + -2))*1. -100*sqrt(19) - 38 Simplify ((0 + sqrt(1216))*-2 - (-1 + -1 + sqrt(1216)))**2 - ((sqrt(684) + -1 + sqrt(684) - sqrt(931)*-1)**2 + -3). -58*sqrt(19) + 4091 Simplify (-6*(sqrt(833) + 0 + (sqrt(204)/sqrt(4))/sqrt(3)) + ((sqrt(85) + (3*-3*sqrt(85) - sqrt(85)) - sqrt(85)) + sqrt(85))/(3*sqrt(720) - sqrt(720)))**2. 2546073/64 Simplify (-5*sqrt(136) + sqrt(34))/((sqrt(6) - sqrt(6)*-2)/sqrt(3)) + (((-2*sqrt(153) - sqrt(153))*-2)/(sqrt(45)/sqrt(45) - sqrt(9)))**2. -3*sqrt(17) + 1377 Simplify (3*(sqrt(288) - (sqrt(288)*-1)**2) + ((2*-2*sqrt(288) - sqrt(288)) + sqrt(288))**2 - (-3 + -6*(sqrt(128) + -1 + sqrt(128) + sqrt(128))**2)) + 2. -252*sqrt(2) + 10667 Simplify (-4 + 1 + (sqrt(2700)*-3 - sqrt(2700)) + 3*(sqrt(2700) + 1)*-3 + 1)**2*6. 51480*sqrt(3) + 2738526 Simplify (-6*(-6*(sqrt(684) + -2 + sqrt(684) + -1 + 4)*4 + 0))**2. 497664*sqrt(19) + 56754432 Simplify -3 + ((sqrt(85)/(sqrt(10)/sqrt(2)) + sqrt(17))*-1)**2 + ((sqrt(272) - (sqrt(272) + (sqrt(272)*2 - sqrt(272) - sqrt(272))))**2 - sqrt(272))*2 + -4. -8*sqrt(17) + 61 Simplify (sqrt(9) + (sqrt(225) - 1*sqrt(225)))/(sqrt(972)/sqrt(9) + sqrt(3)) - ((-2 + sqrt(48))**2 + ((2*sqrt(144))/sqrt(8))/sqrt(6)). -52 + 99*sqrt(3)/7 Simplify -6*((sqrt(91) - 3*sqrt(91)*5) + (sqrt(91) - -3*(sqrt(91) + sqrt(91)*-3)))/(1*(sqrt(7) + (sqrt(28)*-2 + sqrt(28))/sqrt(4) + sqrt(7))*2). 57*sqrt(13) Simplify -1 + sqrt(162) + (sqrt(162)*2)**2*-4 + 2*sqrt(162) + -5 + -5 + -1 + (-1 + sqrt(162))**2. -2441 + 9*sqrt(2) Simplify (sqrt(19) + (sqrt(190) - (sqrt(190)*4 - sqrt(190)) - sqrt(190))/sqrt(10) + sqrt(133)/sqrt(7) + -4)**2 + -3*(0 + sqrt(19) + sqrt(19) + 4) + 0. 2*sqrt(19) + 23 Simplify (-1 + 1 + sqrt(931) + 0)**2*-6 - (-5 + -1 + sqrt(171) - (((1 + sqrt(171))**2 - sqrt(171)) + -1)). -5409 Simplify -3 + (sqrt(3800)*-2 + sqrt(3800) + sqrt(3800) - sqrt(38) - sqrt(456)/(sqrt(300) + sqrt(12)))/((sqrt(2) - 4*sqrt(12)/sqrt(6) - sqrt(2))*4). -3 + 7*sqrt(19)/96 Simplify -3*(-2*(-2 + sqrt(128)*-1 + -4) + (-1 + sqrt(128) + -5 - sqrt(128) - -3*sqrt(128)*-2) + 2)**2. -6336 + 1536*sqrt(2) Simplify (3 + ((5*(sqrt(448)*-2 + sqrt(448)) - sqrt(448)) + -3 + sqrt(448)*1 + -5 - (2*sqrt(448) + 4 - ((sqrt(448) - (sqrt(448) + -2*sqrt(448))) + 4))))**2. 400*sqrt(7) + 11225 Simplify -3*-4*(0 + (2 + sqrt(343) + 4)**2 + (sqrt(343)*1 + sqrt(343))**2 + -3 + sqrt(343) + -1). 1092*sqrt(7) + 20964 Simplify ((((-1*sqrt(132) + sqrt(132))*6 + (sqrt(132) - -4*sqrt(132)*2) + sqrt(132))*6)/((1*2*sqrt(108) - sqrt(108))/sqrt(9)*1))**2. 39600 Simplify 2 + ((3 + sqrt(800) + 1)**2 - (5 + -1 + sqrt(2178) + sqrt(2178))). 94*sqrt(2) + 814 Simplify ((0 + sqrt(245))*3 + (-1 + sqrt(245))*-4 - -3*-2*(sqrt(245) + 1 + sqrt(245)))**2*1. 364*sqrt(5) + 41409 Simplify (-5 + sqrt(99) + -1 + sqrt(11)*1 + 2)**2 + (-4 + 2*(sqrt(1331) + 2))**2. -32*sqrt(11) + 5516 Simplify (-2*sqrt(1700) + -1 + -5 + 3*sqrt(1700))*-6 + 4. -60*sqrt(17) + 40 Simplify (sqrt(768))**2 + -4 + sqrt(3) + ((0 + sqrt(3))*-6)**2 + 2 + -2 + 3. sqrt(3) + 875 Simplify (-5*(0 + sqrt(153)*-2*-5 + -1)*6)**2 + 4. -54000*sqrt(17) + 13770904 Simplify (2*(sqrt(4032) + sqrt(4032)*1) + 3*(sqrt(4032) + sqrt(4032) + (sqrt(4032)*5 - sqrt(4032)) + sqrt(4032)) + 5 + -1 + -2)**2. 2400*sqrt(7) + 2520004 Simplify 4 + 4 + 0 + 0 + sqrt(45) + -1*(1 + sqrt(245) + -2)**2. -238 + 17*sqrt(5) Simplify 3*((-1*sqrt(204) - sqrt(204))*-3 + sqrt(204) - -4*sqrt(204)*1)/((sqrt(24) + (sqrt(24) - (sqrt(192)*-2)/sqrt(8)))/sqrt(2)). 33*sqrt(17)/4 Simplify (sqrt(637) - -1*(0 + sqrt(637)) - (sqrt(637) + 1)*5 - ((sqrt(637) + 1 + -3)**2 - sqrt(637) - 4*(sqrt(637) - (sqrt(637) + (sqrt(637) + 1)**2))))*-4*3. 504*sqrt(13) + 38376 Simplify -2 + -2 + (sqrt(343) + 4*1*sqrt(343) + 4 - (0 + 5 + 1*sqrt(343)))**2. -56*sqrt(7) + 5485 Simplify 0 + (-2*-5*(-3*sqrt(363)*-4 + 5)*5)**2 + 2. 3300000*sqrt(3) + 130742502 Simplify (-2*(-5 + (1*sqrt(384))/((sqrt(2) + sqrt(18))*4 + (sqrt(128) + sqrt(128)*1 - sqrt(2))) + 1))**2. -256*sqrt(3)/31 + 62272/961 Simplify (-6*(4 + (((sqrt(2057) - 2*sqrt(2057)) + -5)*4 - ((sqrt(2057) - (2 + sqrt(2057))) + -3 + 5))*2))**2. 228096*sqrt(17) + 4785984 Simplify sqrt(75) + -1 + 5 - (sqrt(3) + 3*(sqrt(3) - (sqrt(48))**2 - sqrt(3)))*-4 - (0 + 3 + sqrt(36)/(sqrt(12) - (sqrt(96) + sqrt(96)*-1)/sqrt(8)))**2. -584 + 3*sqrt(3) Simplify (2 + (-1*sqrt(1100) + sqrt(1100))*-1 + -4 - (-3 + (sqrt(1100)*1 + 1 - (0 + sqrt(1100))*3)))**2. 4400 Simplify (-2*((-1*(2 + sqrt(147))**2 - sqrt(147)) + (sqrt(147) + 3*1*sqrt(147))**2 + sqrt(147) + -2)*6 + 5)*4. -105532 + 1344*sqrt(3) Simplify -3 + sqrt(85)/(4*sqrt(5)) + -5 - 5*(-5 + (sqrt(425) - (sqrt(425) - (sqrt(425)*-4 - sqrt(425)))))**2. -53258 - 4999*sqrt(17)/4 Simplify ((sqrt(209)/(sqrt(275)*5 + sqrt(11)) + -5 + 1)*4)**2 + -2. -64*sqrt(19)/13 + 43002/169 Simplify (3*2*sqrt(66) + sqrt(66) + 1*-2*sqrt(66))/(-4*(6*sqrt(486) + sqrt(486) - sqrt(486))). -5*sqrt(11)/216 Simplify -2*((sqrt(60) - (1*sqrt(540))/sqrt(9))/(sqrt(6) + (sqrt(66) + sqrt(66) + 2*sqrt(66))/sqrt(11)))/(2*sqrt(98) - sqrt(2) - sqrt(2) - sqrt(14)/sqrt(7)*6). 0 Simplify 5 + (-2*(sqrt(475) + 0 + -3) - (sqrt(475) + (-1*sqrt(475))**2 + 1 - sqrt(475))*1)*3. -1405 - 30*sqrt(19) Simplify (-1*1*sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84)*2 - sqrt(84))*-2)))/(6*(sqrt(1200) - -1*sqrt(1200))*-3). -sqrt(7)/360 Simplify -2*-2*((2*sqrt(91) - sqrt(91))/sqrt(7) + sqrt(13) + (-2*sqrt(104))/sqrt(8) - (sqrt(117) + 0 - (sqrt(13) + -1 + -2))). -8*sqrt(13) - 12 Simplify ((sqrt(2) - sqrt(8)/sqrt(36)) + sqrt(50) + -2 + -4*(2*sqrt(98)*6 + sqrt(98)) + -4)**2. 4300*sqrt(2) + 2311574/9 Simplify 5 + -2*(2 + ((sqrt(171) + sqrt(171)*2)*5 + (sqrt(171) + sqrt(171)*1)*5)/(1*sqrt(900)*5 + sqrt(900))). -5*sqrt(19)/6 + 1 Simplify 5 + -6*(-2*sqrt(171) + 3 - 2*sqrt(171)*-4 - (2*(sqrt(171) + 0) + 1))**2. -16435 - 288*sqrt(19) Simplify (2 + -4*-3*sqrt(931) + 4 + 4*(3 + 2*sqrt(931) - sqrt(931) - (sqrt(931) + (sqrt(931)
{ "pile_set_name": "DM Mathematics" }
561? -t**2 + 144*t + 1 What is the t'th term of 34, 136, 310, 562, 898? t**3 + 30*t**2 + 5*t - 2 What is the g'th term of -1449, -2898, -4347, -5796? -1449*g What is the t'th term of -168, -695, -1574, -2805, -4388? -176*t**2 + t + 7 What is the v'th term of 28, 54, 80, 106, 132? 26*v + 2 What is the c'th term of 326, 321, 316, 311, 306? -5*c + 331 What is the z'th term of 95, 103, 125, 167, 235? z**3 + z**2 - 2*z + 95 What is the w'th term of -905, -1814, -2723, -3632, -4541? -909*w + 4 What is the p'th term of -11, -40, -87, -152, -235? -9*p**2 - 2*p What is the j'th term of -1043, -2081, -3121, -4163, -5207, -6253, -7301? -j**2 - 1035*j - 7 What is the y'th term of -156, -155, -154, -153, -152, -151? y - 157 What is the s'th term of -225, -161, -97, -33, 31, 95? 64*s - 289 What is the f'th term of 14, -22, -66, -106, -130, -126, -82, 14? 2*f**3 - 16*f**2 - 2*f + 30 What is the q'th term of 292, 319, 366, 439, 544, 687, 874? q**3 + 4*q**2 + 8*q + 279 What is the m'th term of 18, 26, 20, -6, -58, -142, -264? -m**3 - m**2 + 18*m + 2 What is the j'th term of 1, 21, 51, 97, 165, 261? j**3 - j**2 + 16*j - 15 What is the m'th term of -12, -14, -16? -2*m - 10 What is the w'th term of 147, 289, 429, 567? -w**2 + 145*w + 3 What is the k'th term of -130, -105, -66, -7, 78, 195, 350, 549? k**3 + k**2 + 15*k - 147 What is the m'th term of -111, -208, -295, -372? 5*m**2 - 112*m - 4 What is the y'th term of 8, 21, 36, 53, 72? y**2 + 10*y - 3 What is the h'th term of -26684, -26690, -26706, -26738, -26792? -h**3 + h**2 - 2*h - 26682 What is the w'th term of 1070, 1062, 1048, 1028? -3*w**2 + w + 1072 What is the k'th term of 19, 54, 111, 190, 291, 414? 11*k**2 + 2*k + 6 What is the y'th term of -10, -24, -32, -34, -30, -20? 3*y**2 - 23*y + 10 What is the v'th term of -86, -79, -62, -29, 26, 109? v**3 - v**2 + 3*v - 89 What is the v'th term of 739, 5933, 20031, 47485, 92747, 160269? 742*v**3 - 3 What is the y'th term of 8, 16, 24, 32, 40? 8*y What is the q'th term of 98, 97, 96? -q + 99 What is the s'th term of -295, -590, -885, -1180, -1475? -295*s What is the o'th term of 8, -6, -36, -82, -144, -222? -8*o**2 + 10*o + 6 What is the s'th term of 27, 43, 69, 105? 5*s**2 + s + 21 What is the d'th term of -174, -349, -524, -699, -874? -175*d + 1 What is the i'th term of -63, -81, -119, -183, -279? -i**3 - 4*i**2 + i - 59 What is the j'th term of 58, 63, 34, -47, -198, -437? -3*j**3 + j**2 + 23*j + 37 What is the z'th term of -164, -636, -1414, -2492, -3864, -5524, -7466? z**3 - 159*z**2 - 2*z - 4 What is the b'th term of -3, -17, -47, -99, -179, -293, -447? -b**3 - 2*b**2 - b + 1 What is the r'th term of -24, -15, 0, 21, 48? 3*r**2 - 27 What is the s'th term of -27, -22, -17, -12, -7? 5*s - 32 What is the z'th term of 74, 153, 232, 311, 390, 469? 79*z - 5 What is the n'th term of -21, -186, -627, -1482, -2889, -4986? -23*n**3 - 4*n + 6 What is the v'th term of 1501, 1506, 1511, 1516? 5*v + 1496 What is the k'th term of 175, 352, 529? 177*k - 2 What is the w'th term of -331, -661, -991, -1321, -1651? -330*w - 1 What is the q'th term of -33, -131, -277, -465, -689, -943? q**3 - 30*q**2 - 15*q + 11 What is the j'th term of -248, -241, -234? 7*j - 255 What is the j'th term of 13, 15, 17? 2*j + 11 What is the x'th term of 66, 58, 50, 42? -8*x + 74 What is the d'th term of -4547, -4548, -4549? -d - 4546 What is the f'th term of -152, -192, -266, -380, -540? -f**3 - 11*f**2 - 140 What is the g'th term of 25, 30, 17, -20, -87, -190? -g**3 - 3*g**2 + 21*g + 8 What is the a'th term of 8, 50, 132, 260, 440, 678, 980? a**3 + 14*a**2 - 7*a What is the z'th term of 95, 165, 235, 305? 70*z + 25 What is the x'th term of 5, 20, 43, 74, 113? 4*x**2 + 3*x - 2 What is the v'th term of -132, -264, -396? -132*v What is the c'th term of 31, 63, 81, 79, 51, -9, -107? -c**3 - c**2 + 42*c - 9 What is the j'th term of 267, 263, 257, 249, 239? -j**2 - j + 269 What is the f'th term of -1836, -3681, -5528, -7377, -9228, -11081, -12936? -f**2 - 1842*f + 7 What is the i'th term of -259, -255, -251? 4*i - 263 What is the l'th term of 76, 78, 78, 76, 72, 66, 58? -l**2 + 5*l + 72 What is the b'th term of 51, 96, 143, 186, 219, 236, 231? -b**3 + 7*b**2 + 31*b + 14 What is the v'th term of 3017, 6025, 9033? 3008*v + 9 What is the f'th term of -285, -562, -839? -277*f - 8 What is the q'th term of -141, -227, -319, -423, -545, -691? -q**3 + 3*q**2 - 88*q - 55 What is the y'th term of 68, -19, -252, -703, -1444, -2547, -4084, -6127? -12*y**3 - y**2 + 81 What is the i'th term of -106, -127, -148? -21*i - 85 What is the k'th term of -254, -969, -2154, -3803, -5910? k**3 - 241*k**2 + k - 15 What is the h'th term of -43, -96, -171, -280, -435, -648, -931? -2*h**3 + h**2 - 42*h What is the z'th term of 258, 335, 418, 507, 602, 703, 810? 3*z**2 + 68*z + 187 What is the g'th term of -71, -45, -19? 26*g - 97 What is the u'th term of -79, -143, -199, -247, -287? 4*u**2 - 76*u - 7 What is the t'th term of -10264, -20532, -30802, -41074, -51348, -61624, -71902? -t**2 - 10265*t + 2 What is the d'th term of -56, -119, -182, -245, -308? -63*d + 7 What is the a'th term of 866, 1746, 2630, 3518, 4410, 5306? 2*a**2 + 874*a - 10 What is the i'th term of 43, 36, 13, -32, -105, -212, -359, -552? -i**3 - 2*i**2 + 6*i + 40 What is the v'th term of 158, 159, 160, 161? v + 157 What is the k'th term of -551, -844, -1147, -1466, -1807? -k**3 + k**2 - 289*k - 262 What is the y'th term of 50, 89, 140, 209, 302, 425, 584, 785? y**3 + 32*y + 17 What is the w'th term of -82, -81, -82, -85? -w**2 + 4*w - 85 What is the o'th term of -23, -57, -113, -191? -11*o**2 - o - 11 What is the r'th term of -1037, -1040, -1043, -1046? -3*r - 1034 What is the c'th term of -12, -21, -30, -39, -48? -9*c - 3 What is the l'th term of 126, 96, 46, -24, -114, -224, -354? -10*l**2 + 136 What is the a'th term of -337, -337, -345, -367, -409, -477, -577, -715? -a**3 + 2*a**2 + a - 339 What is the q'th term of -25, -47, -107, -223, -413, -695, -1087, -1607? -3*q**3 - q**2 + 2*q - 23 What is the n'th term of 959, 961, 963, 965, 967, 969? 2*n + 957 What is the k'th term of 1002, 1001, 1000? -k + 1003 What is the k'th term of 35, 75, 113, 149? -k**2 + 43*k - 7 What is the v'th term of -647, -1296, -1945, -2594, -3243, -3892? -649*v + 2 What is the o'th term of 307, 302, 295, 286, 275? -o**2 - 2*o + 310 What is the m'th term of -78, -143, -190, -213, -206, -163, -78, 55? m**3 + 3*m**2 - 81*m - 1 What is the h'th term of 14, 67, 156, 281, 442, 639? 18*h**2 - h - 3 What is the u'th term of 3, 35, 87, 159, 251, 363? 10*u**2 + 2*u - 9 What is the n'th term of -678, -680, -690, -714, -758, -828? -n**3 + 2*n**2 - n - 678 What is the l'th term of -25, -16, -1, 20, 47, 80? 3*l**2 - 28 What is the v'th term of 90, 178, 266? 88*v + 2 What is the x'th term of -27, -58, -97, -144? -4*x**2 - 19*x - 4 What is the n'th term of -228, -454, -682, -912, -1144, -1378? -n**2 - 223*n - 4 What is the v'th term of -34, -68, -84, -70, -14? 2*v**3 - 3*v**2 - 39*v + 6 What is the w'th term of -675, -1350, -2023, -2694? w**2 - 678*w + 2 What is the g'th term of -420, -427, -448, -489, -556, -655, -792? -g**3 - g**2 + 3*g - 421 What is the r'th term of 34, 123, 272, 481? 30*r**2 - r + 5 What is the q'th term of -146, -331, -516, -701? -185*q + 39 What is the u'th term of -50, -105, -160, -215, -270? -55*u + 5 What is the w'th term of 1646, 3295, 4944? 1649*w - 3 What is the l'th term of -53, -67, -91, -131, -193, -283, -407, -571? -l**3 + l**2 - 10*l - 43 What is the y'th term of -14, -24, -48, -92, -162, -264? -y**3 - y**2 - 12 What is the f'th term of -307, -330, -353, -376? -23*f - 284 What is the g'th term of -176, -198, -228, -272, -336, -426, -548? -g**3 + 2*g**2 - 21*g - 156 What is the z'th term of 4615, 9229, 13843, 18457, 23071? 4614*z + 1 What is the j'th term of 269, 535, 801, 1067, 1333? 266*j + 3 What is the c'th term of -64, -128, -192? -64*c What is the j'th term of -17, -23, -27, -29, -29? j**2 - 9*j - 9 What is the w'th term of -1659, -1646, -1617, -1566, -1487? w**3 + 2*w**2 - 1662 What is the a'th term of 0, -4, -28, -84, -184, -340, -564, -868? -2*a**3 + 2*a**2 + 4*a - 4 What is the s'th term of -35, -83, -153, -257, -407, -615, -893, -1253? -2*s**3 + s**2 -
{ "pile_set_name": "DM Mathematics" }
5 9d2dd What is 367de9 (base 16) in base 11? 201a095 881276 (base 10) to base 5 211200101 What is -85c39 (base 14) in base 15? -65c86 Convert 12122221022001 (base 3) to base 9. 5587261 What is -32230130023 (base 4) in base 11? -21a1108 101173 (base 8) to base 14 c25d Convert -233321221132 (base 4) to base 10. -12556894 Convert 2587096 (base 11) to base 13. c08ab2 Convert -b6188 (base 15) to base 13. -172b05 What is 1352304 (base 7) in base 13? 64464 What is -210020012121000 (base 3) in base 13? -24504c9 Convert -10075 (base 9) to base 8. -14745 Convert -252d5 (base 16) to base 8. -451325 What is -9b5d (base 15) in base 12? -1708a Convert 11011110001100110110011 (base 2) to base 16. 6f19b3 What is 266672 (base 10) in base 12? 10a3a8 114224440 (base 5) to base 11 339267 481287 (base 9) to base 7 2314321 14ce8 (base 16) to base 11 59037 What is -120535 (base 9) in base 2? -10001101110100000 What is -305426 (base 9) in base 7? -1353051 133011141 (base 6) to base 5 1140122330 What is 416591 (base 12) in base 16? facbd 30120130 (base 5) to base 15 4ab45 What is -2249995 (base 10) in base 13? -60a177 -103112122 (base 5) to base 11 -281808 What is 2980b8 (base 15) in base 9? 3680542 What is -12002201022220 (base 3) in base 6? -134033210 -10010213 (base 8) to base 9 -3852504 What is -787894 (base 10) in base 8? -3002666 What is 2847678 (base 11) in base 4? 102230111332 Convert 17014376 (base 9) to base 6. 502243153 Convert 335024 (base 8) to base 14. 2d35a Convert 1421642 (base 8) to base 5. 100333323 12313558 (base 9) to base 14 b3047a Convert 1021110 (base 6) to base 8. 140542 What is -128097 (base 11) in base 8? -610577 Convert -10111100011011110100111 (base 2) to base 4. -113203132213 What is -2618926 (base 10) in base 2? -1001111111011000101110 Convert -36126 (base 8) to base 5. -443241 Convert 1604320 (base 8) to base 13. 131ab2 1034211012 (base 5) to base 11 13017a5 Convert -10221001000 (base 3) to base 7. -441240 Convert 4434333 (base 6) to base 4. 312112101 -30b24 (base 14) to base 16 -1cabc What is 360362 (base 8) in base 6? 2350002 Convert 67948b (base 13) to base 3. 11121101100220 101434442 (base 5) to base 10 421247 Convert 13101223020 (base 4) to base 8. 7215310 17abb5 (base 12) to base 5 101203420 What is 131301131 (base 5) in base 16? 9ebb6 -5a5555 (base 11) to base 2 -11101010001000001001 -110200021123 (base 4) to base 10 -5374555 Convert 18924 (base 16) to base 6. 2053540 What is -11110000010000011 (base 2) in base 11? -84469 -11406652 (base 7) to base 12 -408b61 Convert -99987 (base 16) to base 11. -39a744 What is -113320312 (base 4) in base 13? -356c8 4ac6c (base 15) to base 5 30122202 3286969 (base 10) to base 14 617c37 What is -4829577 (base 10) in base 12? -174aa89 Convert -6516407 (base 8) to base 6. -101214411 -10345050 (base 7) to base 9 -1588376 Convert -47273054 (base 8) to base 13. -21a4074 What is 1010101111001111010010 (base 2) in base 15? 3a90c0 Convert -1460a91 (base 11) to base 8. -11434331 What is 2052140 (base 6) in base 8? 303674 Convert 24d35 (base 14) to base 4. 112010203 23c88 (base 13) to base 16 1013d What is 13375 (base 16) in base 14? 20981 -20220120000211 (base 3) to base 4 -32000132323 220416 (base 7) to base 3 1221222120 What is -21311221 (base 4) in base 5? -2242142 Convert -476171 (base 8) to base 14. -43545 What is 18308429 (base 10) in base 5? 14141332204 What is 869480 (base 11) in base 9? 2546066 Convert 4001504 (base 6) to base 2. 101101101010010000 269056 (base 13) to base 15 136a31 Convert -114959 (base 10) to base 11. -79409 Convert 1874287 (base 12) to base 15. 6b4aea 11201110102111 (base 3) to base 15 348534 What is -2304205 (base 6) in base 7? -666542 Convert 359c94c (base 13) to base 14. 22c977c Convert 113659a (base 12) to base 10. 3308230 Convert -12919 (base 13) to base 12. -17b6a Convert -579752 (base 10) to base 15. -b6ba2 -35c54 (base 13) to base 16 -181cd What is -101111111011 (base 2) in base 7? -11641 2762287 (base 9) to base 14 2b6d3c What is 866321 (base 10) in base 9? 1560328 What is 120460622 (base 7) in base 8? 34454307 -23c95 (base 13) to base 6 -1224531 What is 12321112310 (base 4) in base 5? 430322141 What is 72601 (base 10) in base 8? 215631 What is -13223122312 (base 4) in base 9? -3707104 -91858 (base 15) to base 3 -212102012202 Convert 118573 (base 10) to base 11. 810a4 Convert 1071546 (base 8) to base 13. a29c5 -126c (base 15) to base 3 -12101110 -41401414 (base 6) to base 9 -2225151 What is -10010001100100001001 (base 2) in base 12? -249061 -127a2 (base 16) to base 3 -10211211001 What is 125a29 (base 12) in base 16? 49581 611041 (base 8) to base 16 31221 Convert 25433321 (base 6) to base 14. 178121 Convert -2d6674 (base 14) to base 5. -401432143 -123751 (base 10) to base 12 -5b747 What is -264222 (base 7) in base 2? -1100000101100010 What is -10011001110010010000001 (base 2) in base 6? -300001441 What is -1cb5e0 (base 15) in base 6? -50042103 Convert 222445 (base 8) to base 7. 431535 What is 211110200011 (base 3) in base 13? 1263c4 What is 2326605 (base 9) in base 14? 24a664 Convert 7cc47a (base 14) to base 12. 1515050 What is -178853 (base 14) in base 15? -116054 Convert -404303 (base 10) to base 2. -1100010101101001111 -93053 (base 12) to base 9 -322170 Convert -1212044000 (base 5) to base 7. -33124364 1101221022 (base 3) to base 16 6c08 What is -4001324 (base 6) in base 15? -3a5e4 -24902 (base 13) to base 10 -67433 -31202 (base 14) to base 8 -347162 -14c65 (base 14) to base 12 -25bb5 What is -20203020013 (base 4) in base 11? -12a07a1 547291 (base 10) to base 4 2011213123 What is -24250 (base 10) in base 9? -36234 Convert 810 (base 15) to base 5. 24230 What is -1120211200120 (base 3) in base 15? -119ca0 Convert 101001011011001011001001 (base 2) to base 14. 162961b -1231334 (base 5) to base 14 -8a41 What is 132a46 (base 11) in base 7? 1530012 110101100001101 (base 2) to base 3 1101121000 1200003033 (base 4) to base 2 1100000000011001111 -21212020 (base 4) to base 3 -1222220201 -360714 (base 10) to base 4 -1120010022 -7671594 (base 11) to base 2 -110011011001000000001111 What is 3255c5 (base 13) in base 8? 4406420 Convert -5ab5 (base 14) to base 7. -64115 What is 1226441 (base 7) in base 16? 26a8c -82582 (base 10) to base 8 -241226 What is -2111120102202 (base 3) in base 7? -14206406 Convert -525044 (base 10) to base 6. -15130432 40144104 (base 6) to base 8 4246050 What is -4a2527 (base 14) in base 4? -21230212013 14251623 (base 7) to base 2 101000111001111111100 -1d4c3 (base 15) to base 16 -1755f What is 17262 (base 10) in base 7? 101220 Convert -977463 (base 10) to base 4. -3232220313 51c26 (base 15) to base 11 16784a Convert 35876586 (base 9) to base 3. 1012222120122220 What is -301333101 (base 4) in base 13? -72273 What is -45013 (base 6) in base 4? -1202001 Convert 23445300 (base 8) to base 11. 2994a55 -114353 (base 13) to base 9 -683305 11313200211 (base 4) to base 15 205ae0 What is 147ca5 (base 14) in base 5? 140310233 What is -4164e (base 15) in base 3? -101112100202 16e514 (base 16) to base 14 2b0b40 Convert -21b776 (base 13) to base 11. -4a4547 Convert 13246012 (base 7) to base 8. 4522217 What is 32606167 (base 8) in base 11? 3a61977 -506669 (base 12) to base 8 -4624061 Convert 907304 (base 10) to base 12. 379088 Convert -10611053 (base 7) to base 6. -31512235 What is -9c5521 (base 13) in base 2? -1110000110011001100010 Convert -71a958 (base 12) to base 9. -3314315 Convert -1050940 (base 10) to base 4. -10000210330 Convert 32003114 (base 5) to base 3. 111111221010 What is 11222220002022 (base 3) in base 9? 4886068 Convert -120012320 (base 4) to base 7. -560612 Convert -98718 (base 15) to base 14. -c8675 What is 1002213323 (base 4) in base 11? 177033 192482 (base 10) to base 13 697c4 Convert 14031033 (base 5) to base 10. 142643 -9a572 (base 11) to base 5 -14131023 What is 603072 (base 9) in base 10? 356546 What is -1fbf7 (base 16) in base 2? -11111101111110111 -100536 (base 7) to base 3 -212102120 Convert -121012022110 (base 3) to base 14. -84277 What is -feeb9 (base 16) in base 4? -3332322321 What is 1fdea (base 16) in base 2? 11111110111101010 Convert 6d4d8 (base 14) to base 16. 41386 -131322516 (base 7) to base 4 -200011002132 Convert -1795a2 (base 15)
{ "pile_set_name": "DM Mathematics" }
earest 1000. 14000 Let h = 1008.9 - 1009.40104. Let y = 0.5 + h. What is y rounded to 4 dps? -0.001 Let m = -7.06 + 7. Let h = 0.148 + m. Let l = -0.155 + h. Round l to 2 decimal places. -0.07 Let a = -73 + 73.00000097. Round a to seven decimal places. 0.000001 Let o = 83.99922 - 84. What is o rounded to 4 dps? -0.0008 Let d = -82 - -98.2. What is d rounded to the nearest integer? 16 Let d = 3259 - -319. Let r = -7278 + d. What is r rounded to the nearest one thousand? -4000 Let k = 1 + 9. Suppose -k = 4*i - 5*f, -3*i + f = -7*i + 2. Suppose -2*a - 225000 = -5*q + a, q + a - 45000 = i. What is q rounded to the nearest 10000? 50000 Let s = 128.9999838 + -129. Round s to six dps. -0.000016 Let j(h) = 78*h**2 - 14*h. Let i be j(13). What is i rounded to the nearest one thousand? 13000 Let b = -80.5491709565 - 0.4508273235. Let r = b - -81. What is r rounded to 7 decimal places? 0.0000017 Let t(p) = 130000*p**3 + p**2 - p. Let a(z) = -z**3 - 6*z**2 + 6*z - 6. Let o be a(-7). Let r be t(o). Round r to the nearest 100000. 100000 Let v = -42982 - -66917. Suppose -6276065 = -3*f + v. Round f to the nearest one million. 2000000 Let t = -202925 + 356881. Let i = 208897 - -225059. Let c = t - i. What is c rounded to the nearest one hundred thousand? -300000 Let v = 35.982 + 0.018. Let g = 36.00084 - v. What is g rounded to four dps? 0.0008 Let j = 176 - 170.77. Round j to 1 decimal place. 5.2 Let j = -169.2192 + 169. Let s = 0.21 + j. Round s to three decimal places. -0.009 Let j = 0.17 - 0.18. Let y = -0.009945 - j. Round y to 5 dps. 0.00006 Let o(b) = -119*b**2 + 5*b + 2. Let v be o(-3). Let q = -5284 - v. What is q rounded to the nearest one thousand? -4000 Let l = 0.079 - 3.029. What is l rounded to 1 dp? -3 Let x(u) = -u**2 + 7*u - 5. Let z be x(5). Suppose -5*m + 28 = d - 36, 8 = m + z*d. Round m to the nearest ten. 10 Let q = -110123.56 - -110123.20999915. Let s = q - -0.35. Round s to seven decimal places. -0.0000009 Let i(o) = -o**3 + 9*o**2 + 10*o + 2. Let r be i(10). Let u be 8/(r/(80/2)). Let g be (-113753 - -3)*u/2. What is g rounded to the nearest 1000000? -9000000 Let z = 3.4 + -6.1. What is z rounded to 0 dps? -3 Suppose -3*t - 34200 = -0*t. Round t to the nearest one thousand. -11000 Let t(b) = -832*b**3 - 3*b**2 - 2*b + 2. Let a be t(-2). Let g = -12 - -10. Let p be a*((-1228)/14 - g). What is p rounded to the nearest 100000? -600000 Let g = 0.629836 + -0.63. What is g rounded to five dps? -0.00016 Let t = 0.19 + -0.1996. What is t rounded to 3 dps? -0.01 Let p = -0.2999 + 0.3. What is p rounded to three decimal places? 0 Suppose 0 = 4*n, -4*n = 5*g - 16787607 - 81626863. Let i = -12982894 + g. What is i rounded to the nearest 1000000? 7000000 Let q = -1335 + 2246. Suppose 0 = b + 1 - q. Round b to the nearest 100. 900 Let f = -0.05 + -2.75. What is f rounded to the nearest integer? -3 Let u be 1/(2/(-4)) + -249. Let o be -26*((-1 - -2) + u). Round o to the nearest one thousand. 7000 Let f = 1.03 + -1.192. Let j = 7.262 + f. Round j to the nearest integer. 7 Suppose 2*i - 5*k - 688 = 0, i = -4*i + 3*k + 1701. What is i rounded to the nearest ten? 340 Let b = -18.994 - -19. What is b rounded to three dps? 0.006 Let s = -3.80019 - -3.8. Round s to five decimal places. -0.00019 Let r(d) be the third derivative of -d**6/20 - d**5/20 + d**4/24 + d**3/6 - 3*d**2. Let y be r(3). What is y rounded to the nearest 10? -190 Let c(q) = -173*q - 18. Let z be c(-4). What is z rounded to the nearest one hundred? 700 Let l = 3887 + -98596. Let m = l - -944697. Suppose 5*r = -5*k + 930166 - 80151, -5*r + 4*k + m = 0. Round r to the nearest 100000. 200000 Let y = -741.00001844 - -741. Round y to six decimal places. -0.000018 Let n = -2.4 - -0.2. Let l = n + -3.6. Round l to the nearest integer. -6 Suppose 0 = -w + 3, 0 = 5*s - 3*w + 7*w - 78000012. What is s rounded to the nearest one million? 16000000 Let w = -9 + 6. Let u = 0 - w. Suppose 2*a + 5900000 = u*a. Round a to the nearest one million. 6000000 Let r = -14 - -19. Let d = r - 4.999968. Round d to five decimal places. 0.00003 Let z = -0.03418924 + -251.98191076. Let a = z + 252. Round a to 3 decimal places. -0.016 Suppose -4*c + 2778396 = 3*y, -4*c - 4*y + 414127 + 2364269 = 0. Suppose -2*o + c = -485401. What is o rounded to the nearest 100000? 600000 Suppose 5*b - 16 - 4 = 0. Suppose -b = -g - 26. What is g rounded to the nearest ten? -20 Let a(o) = o**3 - o**2 + o + 3. Let x be a(0). Suppose u + 2 = -2*r + 6, 0 = -r + x*u + 2. Let d be r/4 - 5202/4. What is d rounded to the nearest one thousand? -1000 Let r = -65 - -92. Let z = 27.000056 - r. Round z to 5 decimal places. 0.00006 Let d = 2.3037 - 2.3. Round d to three dps. 0.004 Let h = 7 - -4. Let x = -25200781.0000043 + 25200792. Let m = h - x. Round m to 6 decimal places. 0.000004 Let a = -8.9 + 8.89999913. What is a rounded to 7 dps? -0.0000009 Let a be (-796)/10 + (-15)/(-25). Round a to the nearest ten. -80 Let b(r) = -1333*r**2 - 3. Let o be b(-3). Round o to the nearest ten thousand. -10000 Let m = 21.3 - -4.7. Let x = 26.00136 - m. Round x to four decimal places. 0.0014 Let h be (-9 - -5)*2/(-2). Suppose 4*i = 0, 4*x - 9*i = -h*i. Suppose q + 11 - 4 = x. What is q rounded to the nearest ten? -10 Let t = 826 - 824.862. Let j = t + -0.058. Let s = j - 1.91. What is s rounded to one dp? -0.8 Let a = -5 + 7. Let q = 5.77 - 3.16. Let d = q - a. What is d rounded to one dp? 0.6 Suppose t + 326155 = o, -4*o + o + 5*t = -978465. Suppose -3*v + 813845 + o = 0. What is v rounded to the nearest 100000? 400000 Let n = -0.3 - -0.4. Let d = n + -0.10000148. Round d to seven decimal places. -0.0000015 Let f = 982 + -992.18. Let x = -11 - f. What is x rounded to 1 decimal place? -0.8 Let g = 169 + -63. Let z = 111.7 - g. What is z rounded to 0 decimal places? 6 Let w = 0.861 - 0.86100387. What is w rounded to 7 dps? -0.0000039 Let z = 225580834 + -149980815. Suppose 5*f + 2*s + 94500034 = -2*s, 4*f + z = 5*s. Let a be -2 + f/(-3)*1. What is a rounded to the nearest 1000000? 6000000 Suppose 4*q = -0*q + 12. Suppose -k - 5*s = -3*k - 2, q*s = -k + 10. Suppose k*j - 5 = -j. What is j rounded to 0 dps? 1 Let s be 51/7 - 16/56. Let f be 115000 + 1 + (6 - s). Round f to the nearest ten thousand. 120000 Let h = -0.2999955 + 0.3. What is h rounded to 6 dps? 0.000005 Suppose 2*a - a = 0. Let n(y) = a*y - 2 + y - 5*y + 3. Let z be n(1). Round z to the nearest integer. -3 Let i = 76251 + -115251. Round i to the nearest ten thousand. -40000 Let w = -22.934 + 23. What is w rounded to 2 decimal places? 0.07 Let z = -31742.4013 - -31745. Let c = z - 2.6. Round c to three decimal places. -0.001 Let g = -6 + 2. Let m = g + 4.1. Let k = -0.10004 + m. Round k to 5 decimal places. -0.00004 Let t(j) = -5*j**3 + j**2 - 11*j - 12. Let n be t(-8). Round n to the nearest 1000. 3000 Let g = -758 + -21242. Round g to the nearest ten thousand. -20000 Suppose 6*w - 3*w - 1110 = 0. Round w to the nearest one hundred. 400 Let t = -9.903 - -0.103. Let b = -1.8 - t. Let y = b - 7.9942. What is y rounded to 3 decimal places? 0.006 Suppose -3*l + 5862248 - 1182248 = 0. What is l rounded to the nearest one hundred thousand? 1600000 Let i = -9.98 + -0.02. Let l = -9.99951 - i. What is l rounded to 4 dps? 0.0005 Let u = -0.099 + -61.901. Let o = -62.033 - u. Round o to two dps. -0.03 Let h = -40.00000052 + 40. Round h to seven decimal places. -0.0000005 Let i = -2 + 30. Let b = -28.0013 + i. Round b to 3 decimal places. -0.001 Let f = -5 + 4.61. Let g = f + -0.06. Round g to 1 dp. -0.5 Let n(f) = 21*f**3 - 3*f**2 + 4. Let x(s) = 21*s**3 - 2*s**2 + 3. Let a(m) = -6*n(m) + 7*x(m). Let q be a(3). Round q to the nearest one thousand. 1000 Let h = -492.329 + 492.5289971. Let s = 0.1 - -0.1. Let y = h - s. What is y rounded to six decimal places? -0.000003 Let v = 0.52 + -0.5. Let q = v + 4.98. Let a = 4.999999 - q. What is a rounded to six decimal places? -0.000001 Let z = 288851.9400012 - 288852. Let r = -13 - -13.06. Let y = r + z. What is y rounded to 7 decimal places? 0.0000012 Let m = 8951.0403 - 9011.35. Let p = 1.0603 - m. Let f = p - 61. What is f rounded to 1 dp? 0.4 Let c = 4.97 - 3.5. Let x = c + -2. Round x to 1 decimal place. -0.5 Let w(m) = m**2 + m + 2. Suppose 71 = -5*n -
{ "pile_set_name": "DM Mathematics" }
n thousand. 120000 Round -547.559 to 0 dps. -548 Round -1621240000 to the nearest 1000000. -1621000000 What is 0.002013305 rounded to four dps? 0.002 Round -41099270 to the nearest 10000. -41100000 What is 0.0024745874 rounded to six decimal places? 0.002475 What is 91197.66 rounded to the nearest 10000? 90000 Round 817069 to the nearest 100000. 800000 What is -45.85456 rounded to 1 decimal place? -45.9 What is 325497.9 rounded to the nearest one hundred? 325500 What is -8.940526 rounded to 2 decimal places? -8.94 What is -3095730 rounded to the nearest one hundred thousand? -3100000 What is -0.000738451 rounded to four decimal places? -0.0007 Round -3.62574 to the nearest integer. -4 Round 17711.67 to the nearest one thousand. 18000 What is -7667260 rounded to the nearest 10000? -7670000 Round 1916967.2 to the nearest one hundred thousand. 1900000 Round -0.00000245929 to 6 dps. -0.000002 Round -7477.5755 to the nearest integer. -7478 Round -0.000000981177 to seven dps. -0.000001 Round -0.00215844 to 4 decimal places. -0.0022 What is -0.00006180087 rounded to 5 dps? -0.00006 What is -0.00006328206 rounded to six decimal places? -0.000063 Round -8.7483 to zero dps. -9 Round 145375.1 to the nearest one hundred. 145400 Round 690.286 to the nearest ten. 690 What is -852.6336 rounded to the nearest 100? -900 Round -846705.3 to the nearest 1000. -847000 Round 0.00000060147 to seven decimal places. 0.0000006 Round 10.4978 to 1 dp. 10.5 Round -312.399 to the nearest one hundred. -300 Round 182815 to the nearest one hundred. 182800 Round 44495156 to the nearest ten thousand. 44500000 What is 3543.26 rounded to the nearest 100? 3500 What is -0.0074346 rounded to 3 decimal places? -0.007 Round -0.0183633 to four decimal places. -0.0184 What is -0.000001801262 rounded to seven dps? -0.0000018 What is 5052.66 rounded to the nearest one hundred? 5100 Round -820747.2 to the nearest one hundred thousand. -800000 Round -19908.208 to the nearest one hundred. -19900 What is -0.4128103 rounded to 4 dps? -0.4128 Round -57674 to the nearest one hundred. -57700 Round 0.000001545404 to seven decimal places. 0.0000015 What is -27080.48 rounded to the nearest 100? -27100 Round 0.00000171188 to 7 decimal places. 0.0000017 Round -25464.08 to the nearest 100. -25500 What is -3382.01 rounded to the nearest 10? -3380 Round 0.01540228 to four decimal places. 0.0154 What is 0.003168015 rounded to 5 dps? 0.00317 Round 566.938 to zero dps. 567 Round 63.86952 to the nearest 10. 60 Round 7.77321 to the nearest integer. 8 What is 188.84226 rounded to the nearest 10? 190 What is 0.006934443 rounded to five decimal places? 0.00693 What is 20.482018 rounded to 1 decimal place? 20.5 What is -553.23536 rounded to the nearest one hundred? -600 Round 0.1570095 to three decimal places. 0.157 What is -0.00003033145 rounded to seven decimal places? -0.0000303 What is 121158670 rounded to the nearest 1000000? 121000000 What is -0.00679218 rounded to three decimal places? -0.007 What is 0.000001406763 rounded to seven dps? 0.0000014 What is -1081.6559 rounded to the nearest one hundred? -1100 Round 0.371851 to one decimal place. 0.4 Round 8.986174 to 3 dps. 8.986 What is -0.0000880442 rounded to 6 decimal places? -0.000088 Round -0.0000898279 to 5 decimal places. -0.00009 Round -0.000473964 to six dps. -0.000474 Round 2610.4776 to the nearest integer. 2610 Round 60.6009 to one dp. 60.6 Round 1008.4174 to the nearest integer. 1008 What is 6651970 rounded to the nearest ten thousand? 6650000 What is 133883.33 rounded to the nearest one thousand? 134000 Round -2.607145 to two decimal places. -2.61 Round -1586.07 to the nearest ten. -1590 Round 79.728 to the nearest ten. 80 What is -637.98026 rounded to the nearest one hundred? -600 What is 2.3236002 rounded to one dp? 2.3 Round -2277670 to the nearest one hundred thousand. -2300000 Round -0.324328 to 4 dps. -0.3243 What is 10.889802 rounded to zero decimal places? 11 Round -0.00266661 to 4 decimal places. -0.0027 Round -706730.45 to the nearest 1000. -707000 What is -1.04998 rounded to 2 dps? -1.05 What is 3394.67 rounded to the nearest 100? 3400 What is -0.000598044 rounded to 4 dps? -0.0006 What is -0.17183509 rounded to 5 dps? -0.17184 What is -21128.66 rounded to the nearest 100? -21100 What is -1007.339 rounded to the nearest 10? -1010 Round 391255 to the nearest 10000. 390000 What is 799.581 rounded to the nearest integer? 800 What is 358980 rounded to the nearest 10000? 360000 What is 39828.2 rounded to the nearest ten thousand? 40000 Round -219.8695 to 1 decimal place. -219.9 What is -0.00003642216 rounded to five decimal places? -0.00004 What is 0.00006425883 rounded to seven decimal places? 0.0000643 What is -0.32316291 rounded to two dps? -0.32 Round 1.7468612 to 1 dp. 1.7 What is 0.00000135146 rounded to seven dps? 0.0000014 What is -0.24949994 rounded to three dps? -0.249 What is -0.18663628 rounded to five decimal places? -0.18664 What is 0.003965692 rounded to five decimal places? 0.00397 What is 0.0008984849 rounded to 6 decimal places? 0.000898 Round -62.638 to the nearest 10. -60 Round -5104390 to the nearest ten thousand. -5100000 What is 0.010182831 rounded to 5 decimal places? 0.01018 What is -1.121355 rounded to two decimal places? -1.12 Round -1.784608 to three decimal places. -1.785 Round 0.886184 to 3 decimal places. 0.886 Round -18938830 to the nearest one hundred thousand. -18900000 Round -0.000010439749 to 7 dps. -0.0000104 Round -0.858135 to one dp. -0.9 What is -0.00013336 rounded to 7 decimal places? -0.0001334 What is -93.83959 rounded to two dps? -93.84 What is -7121.1895 rounded to the nearest 10? -7120 Round -133041 to the nearest 1000. -133000 Round -0.00045457649 to five dps. -0.00045 Round -71302650 to the nearest one million. -71000000 Round 303338.53 to the nearest one hundred. 303300 Round 423871 to the nearest 1000. 424000 What is -1407.289 rounded to the nearest integer? -1407 What is -0.0191585 rounded to four dps? -0.0192 What is 1125325000 rounded to the nearest 100000? 1125300000 Round 277176 to the nearest 1000. 277000 What is 8.9666 rounded to the nearest integer? 9 Round -0.0000105067 to six decimal places. -0.000011 What is 0.1157791 rounded to two dps? 0.12 What is 4.4262783 rounded to one dp? 4.4 What is 2388324 rounded to the nearest 10000? 2390000 Round -0.000001969652 to 7 decimal places. -0.000002 What is -2133.2512 rounded to the nearest 10? -2130 What is -27.769159 rounded to one decimal place? -27.8 Round -154.36793 to the nearest integer. -154 What is -61.48255 rounded to 2 decimal places? -61.48 What is -61.5164 rounded to one dp? -61.5 Round -0.000436996 to five dps. -0.00044 Round -13780900 to the nearest ten thousand. -13780000 What is -16218.49 rounded to the nearest 1000? -16000 What is -146157900 rounded to the nearest 100000? -146200000 What is -2.3857805 rounded to two dps? -2.39 What is -0.6385659 rounded to 1 decimal place? -0.6 What is -0.882397 rounded to two dps? -0.88 What is -0.03137099 rounded to 2 decimal places? -0.03 What is 0.000508058 rounded to four dps? 0.0005 What is 0.0001041 rounded to 5 dps? 0.0001 Round 487.82 to the nearest 10. 490 What is 0.0000749587 rounded to 5 dps? 0.00007 Round 13629.23 to the nearest 100. 13600 Round 0.0123131 to three dps. 0.012 Round 14558.13 to the nearest 1000. 15000 What is 57079700 rounded to the nearest 1000000? 57000000 Round -0.07013597 to 4 decimal places. -0.0701 What is -1971290 rounded to the nearest 10000? -1970000 Round 0.005330633 to 3 decimal places. 0.005 Round 9793743 to the nearest one thousand. 9794000 What is 1292745.8 rounded to the nearest 1000? 1293000 What is -0.02396365 rounded to 3 dps? -0.024 Round 0.0001895301 to four decimal places. 0.0002 What is 15959.92 rounded to the nearest ten thousand? 20000 What is 0.000093504623 rounded to 6 decimal places? 0.000094 Round -0.0046833 to 3 dps. -0.005 Round 304917.77 to the nearest 100. 304900 What is -49797.5 rounded to the nearest 1000? -50000 Round -25358968000 to the nearest one million. -25359000000 Round 0.00141106 to 5 decimal places. 0.00141 Round -8238847 to the nearest 10000. -8240000 What is -119.19 rounded to the nearest 1000? 0 What is 136131.1
{ "pile_set_name": "DM Mathematics" }
p**2 - p + 1. Is s(b) prime? True Let d be 5 + -4 + 16/(3 - -1). Suppose -d + 13 = 4*f. Suppose 4*n - 3*s - 5444 = -6*s, 4*s = -f*n + 2722. Is n composite? False Let s = -98 + 103. Suppose 3*a - 7 = 5. Suppose s*f - 357 = 2*l - 3*l, 0 = -a*l - 4*f + 1460. Is l a prime number? True Let s = 85481 - 12082. Is s composite? True Suppose 92*u + 4*y = 93*u + 16, -5*y = -4*u - 64. Let k(a) be the second derivative of a**5/20 + 3*a**4/2 + 29*a**3/6 + 19*a**2/2 + 2*a. Is k(u) composite? False Suppose 24953 = 6*f + 4079. Suppose 2*q = 2*d - 3*q - 1767, -q + f = 4*d. Is d composite? True Let q(w) = 6*w**3 + 4*w - 5. Let z be q(1). Suppose 5*u - z*p + 1027 = 20942, 5*u + 2*p - 19901 = 0. Is u composite? True Let x(w) = 39*w**2 - 34*w + 27. Is x(22) prime? False Let n be (14/(-2) - 1)*(-27)/54. Suppose -n*l = -l + 2*k - 4, 11 = 4*l - 3*k. Suppose 0 = -l*g + 63 + 359. Is g composite? False Let t(s) = -3*s + 23. Let h = 64 - 74. Let d be t(h). Suppose 0 = -4*n + 5*g - d + 142, -2*n + 3*g + 45 = 0. Is n prime? False Suppose 2*y - 141676 = -a, -y = 4*a - 2*a - 70844. Suppose -6*o = -8*o + d + y, 0 = 5*o - d - 177093. Is o composite? False Suppose -3*l + 36052 = -11399. Suppose 0 = -2*k - 3*k - 5*t + 26355, 0 = 3*k + 5*t - l. Is k a composite number? True Let t(g) = 81*g - 32. Suppose 6 = -5*i + 4*z - 16, 5*i + 3*z + 36 = 0. Let b be t(i). Let v = b - -969. Is v prime? False Suppose -3100591 - 797264 = -95*s + 4239655. Is s a composite number? True Let h = -1764846 - -2472067. Is h a prime number? False Let l(a) be the third derivative of 463*a**5/60 + a**3/3 - 14*a**2. Let j be l(2). Let o = -1243 + j. Is o composite? True Let q(d) = -2*d - 22. Let p be q(-11). Suppose p = -3*l + l + 264. Is 34707/11 - 24/l a composite number? True Let b(w) = -w**3 - 21*w**2 + 37*w - 46. Let c be b(-23). Suppose 3*q - c - 982 = 0. Is q a composite number? True Let s be (1 + -10)*39066/153. Let v = s + 4771. Is v a prime number? True Suppose 5*j - 47097 - 26980 = 4*t, -2*t = -2*j + 29628. Is j prime? True Let b(j) = -76 + 30*j + 46*j - 21*j + 56*j + 0*j. Is b(7) prime? True Is (-6*(-15331)/10)/(164/820) a prime number? False Suppose -589*q + 588*q + 2 = 0, 2*z + 22 = -5*q. Let h(w) = 26*w + 23. Let x(l) = 52*l + 47. Let d(v) = -5*h(v) + 2*x(v). Is d(z) a prime number? False Let o(f) = -f**3 + 10*f**2 + 13*f - 20. Let l be o(11). Suppose l*k = 8*k - 37716. Suppose k = 5*r - 2499. Is r a composite number? True Suppose 0 = -n - 15*b + 17*b + 2, 4*b = -4*n - 28. Let c(h) be the third derivative of 19*h**5/20 + h**4/24 - 3*h**3/2 + 2*h**2. Is c(n) composite? True Is (3/(-12) + 2/(-8))/(86/(-210356)) prime? True Let h(g) = -3*g**2 - 119*g + 32. Let i be h(-40). Suppose -5*x - 13 = -3. Is x/i - (0 + (-483)/4) a prime number? False Suppose 20*x + 253170 - 666878 = 815552. Is x prime? True Suppose 17*u - 12*u - 320 = 0. Suppose u = -4*r + g, r + 2*g + 31 - 6 = 0. Let z(t) = t**3 + 22*t**2 + 9*t - 19. Is z(r) a prime number? False Let x = -19247 - -75324. Is x a prime number? False Suppose y + 4*y + 146152 = 2*w, 4*w - 292316 = 4*y. Is w a prime number? False Suppose -93055 = -3*x - 4*m, 6*x - 3*m - 124040 = 2*x. Is x a composite number? False Let i(v) = -14825*v - 47. Let a be i(-10). Suppose -22*c + a = -90431. Is c composite? False Let w be -1 - (-3 + -3 + 1). Let x = -9 - -9. Suppose -3*t + w*t = -4*y + 742, 2*t - 4 = x. Is y prime? False Suppose 0*b + 3*b - 1453843 = -5*r, 2*b = 3*r - 872321. Is r a prime number? False Let h(s) = -2*s**2 - 49*s - 24. Let t be h(-24). Suppose t = -4*b + 2799 - 147. Let u = -76 + b. Is u a composite number? False Let d(u) = -93*u**3 - 178*u**2 + 5*u + 15. Is d(-9) a composite number? True Suppose 14*n = 19563 + 693947. Is n composite? True Suppose 3*k = 13*k + k. Let u be (-4 - k)/((-22)/44). Suppose -u*o + o = -133. Is o composite? False Suppose 140 = -14*h + 182. Suppose y = -h*y + 9668. Is y composite? False Suppose 446*d - 358*d = 17034424. Is d composite? False Let y be (-62)/(-14) + (-1)/(56/24). Suppose -y*f - 9*f = -52. Is (-18)/(-27)*2/f*1347 a prime number? True Is 3609288/28 + (-1 - 90/(-84))*-2 a composite number? False Suppose 3*j = 4*r + 321063, 0 = -5*j + 3*r + 190114 + 344991. Is j prime? True Let a be (-1 + 5/2)/(21/28336). Let c = 3757 - a. Is c a prime number? True Suppose 4*v + 4*v - 3118191 = 2384041. Is v a prime number? True Let q(v) = -v + 1. Let x(d) = 4*d**2 - 47*d - 20. Let f(z) = q(z) + x(z). Is f(-9) a composite number? True Suppose -633946 = -4*i - 104*r + 109*r, 5*r = 5*i - 792435. Is i a prime number? True Let u be (-30)/25*10/(-4). Let g(p) = -167*p**2 - 6*p - 5. Let n(k) = k**2 + k - 1. Let h(t) = -g(t) - 5*n(t). Is h(u) prime? True Let b(w) = 17366*w**2 + w. Let r be b(-1). Let p(o) = -o**2 + 4*o + 497. Let s be p(24). Suppose -s*x = -12*x - r. Is x a composite number? True Let d = -5323 + 3744. Let z = d + 4656. Is z a composite number? True Let j = -703 + -2961. Let g = -8817 - -15324. Let k = g + j. Is k prime? True Let w be 2*(-9)/6*(-1 - 0). Let a(d) = 33*d - 8. Let f(p) = 17*p - 4. Let n(x) = -2*a(x) + 5*f(x). Is n(w) composite? False Let a = -300 + 757. Suppose a + 379 = 11*z. Suppose -557 = z*d - 77*d. Is d a prime number? True Let j(g) = -g**3 + 5*g + 4. Let m be j(-2). Suppose m*t = -2*f - 0*t + 12, 4*t = 12. Is (410/f)/(4/6) composite? True Let v(z) = -z**3 + 6*z**2 - 4*z - 1. Let p be v(3). Let i(u) = -32629*u**3 - 2*u - 1. Let h be i(-1). Suppose -h = 4*m - p*m. Is m prime? False Suppose -5*f + 7 = 22. Let b be (23 - 38)*(-1)/f. Is b*((-16)/(-4) - 21) prime? False Let b(l) = 6194*l - 13. Let v = 244 - 243. Is b(v) a composite number? True Let f = 52 - 25. Suppose 0 = -7*n + 3*n - 5*r - f, 3*n = 2*r - 3. Is (-586)/n*15/10 composite? False Is (-133101)/(-57) - (126/114 + -1) a prime number? False Suppose 6894 = 4*t - 522. Suppose 14*w - 17*w + t = 0. Is w/6 + -2 + 2 prime? True Is 24/(-20) - 74630493/(-315) prime? False Is (-24)/120 - (-1162572)/10 composite? False Let x = -22464 - -10954. Let i = x - -25765. Is i a prime number? False Let n(l) = 256*l - 289. Is n(27) a prime number? False Suppose 0 = 3*j + 2*v - 34165, 2*j - 15713 = -v + 7061. Is j a composite number? False Let p(t) = 4*t**2 - 33*t + 46. Let n = -8 - -29. Is p(n) a prime number? True Let l(c) = -786*c**3 - 45*c**2 - 315*c + 11. Is l(-6) a prime number? True Let i(t) = -125*t + 37. Suppose -16*p - 86 - 106 = 0. Is i(p) a prime number? False Suppose 4*c = 3*r + 18880, 5*c - 32477 + 8877 = -2*r. Let h = c + -2733. Is h a composite number? False Suppose 480555 - 389221 = 16*q - 2037258. Is q composite? True Suppose 0 = 432*l - 425*l - 4226929. Is l a composite number? False Let h(l) = l**3 - 21*l**2 + 18*l + 52. Let y be h(20). Let v(m) = 2*m**3 + 16*m**2 + 20*m - 19. Is v(y) a composite number? False Let d be 7/105*99 + 6/(-10). Suppose m - d = -2*m. Let o(j) = 133*j**3 - 5*j**2 + 5*j + 1. Is o(m) a prime number? False Let x be (28/42)/((-1)/9). Let n(q) = -583*q + 19. Let r(c) = -c. Let m(y) = n(y) - 2*r(y). Is m(x) a prime number? False Let s(q) = 2*q**3 + 202*q**2 - 281*q - 167. Is s(-100) composite? False Let c(z) = z**2 + 4*z + 5. Let s be c(-4). Suppose -s*f - 284 = -9*f. Suppose 5*o - 4*n - 197 = 0, -o - n = o - f. Is o a composite number? False Let z(i) = -i**2 + 26*i - 92. Let h be z(21). Suppose 186710 + 75591 = h*p. Is p a prime number? True Is (-6)/(-5) + 18742613/235 a composite number? False Is (-280409)/(((-4)/(-1))/(54 + -58)) a composite number? False Let b(j) = 239358*j**3 + j**2 + 3*j - 5. Is b(1) a composite number? False Suppose d - 4*y = 27, -5*d - y + 3*y + 153 = 0. Suppose -32*k + d*k + 14653 = -4*u, 0 = 3*k + 3*u - 44019. Is k a prime number? True Let k be 16/(640/24)*(-1 - -6). Let c(h) = 22*h + 23. Is c(k) a prime number? True Let k(a) = 59*a**3 + a**2 + 3*a + 1. Let c be k(4). Suppose 0*g - 6 = 8*g - 54. Suppose q = g*q - c. Is q a composite number? False Is (((-1484)/6)/(-7))/((-26)/(-345579)) a composite number? True Let n be 15*-10*7/(-14). Let d = -73 + n. Suppose p + 449 = 5*a, d*p + 189 = 3*a - 86. Is a a prime number? True Let q(t) = -4*t + 23. Let b be q(5). Suppose -1218 = -2*x - 4*d, b*x - 8*x + d = -3067. Is x a composite number? False Let c be (2*-24)/(-4)*3/(-6). Let t(q) be the second derivative
{ "pile_set_name": "DM Mathematics" }
AM and 12:31 PM? 304 What is 136 minutes after 3:55 PM? 6:11 PM What is 646 minutes before 11:44 AM? 12:58 AM How many minutes are there between 3:17 AM and 1:28 PM? 611 What is 391 minutes after 3:23 PM? 9:54 PM How many minutes are there between 9:12 PM and 5:57 AM? 525 How many minutes are there between 8:35 PM and 12:12 AM? 217 How many minutes are there between 11:11 AM and 7:45 PM? 514 What is 104 minutes before 7:25 AM? 5:41 AM What is 202 minutes before 3:23 PM? 12:01 PM What is 158 minutes after 4:49 AM? 7:27 AM What is 394 minutes after 2:50 PM? 9:24 PM What is 490 minutes after 10:57 AM? 7:07 PM What is 56 minutes after 4:33 AM? 5:29 AM How many minutes are there between 8:25 AM and 8:52 AM? 27 How many minutes are there between 4:53 AM and 3:11 PM? 618 How many minutes are there between 4:58 AM and 2:57 PM? 599 What is 279 minutes before 12:04 PM? 7:25 AM How many minutes are there between 10:18 PM and 1:45 AM? 207 What is 528 minutes after 8:51 PM? 5:39 AM What is 535 minutes after 9:23 AM? 6:18 PM How many minutes are there between 11:35 AM and 6:01 PM? 386 How many minutes are there between 12:38 PM and 9:36 PM? 538 How many minutes are there between 2:48 PM and 6:46 PM? 238 What is 27 minutes after 12:22 AM? 12:49 AM What is 292 minutes before 9:18 PM? 4:26 PM How many minutes are there between 5:32 PM and 4:53 AM? 681 What is 277 minutes after 4:58 AM? 9:35 AM How many minutes are there between 7:27 PM and 5:50 AM? 623 What is 48 minutes after 9:21 PM? 10:09 PM How many minutes are there between 10:11 PM and 10:15 PM? 4 How many minutes are there between 2:55 PM and 11:39 PM? 524 How many minutes are there between 8:35 PM and 6:22 AM? 587 What is 120 minutes before 3:46 AM? 1:46 AM How many minutes are there between 6:07 AM and 10:31 AM? 264 How many minutes are there between 11:39 AM and 12:06 PM? 27 How many minutes are there between 12:42 PM and 1:09 PM? 27 What is 482 minutes before 2:43 AM? 6:41 PM How many minutes are there between 3:14 PM and 10:00 PM? 406 How many minutes are there between 10:21 AM and 3:34 PM? 313 How many minutes are there between 3:18 AM and 4:12 AM? 54 How many minutes are there between 5:24 AM and 3:47 PM? 623 How many minutes are there between 2:25 PM and 3:01 PM? 36 How many minutes are there between 9:43 PM and 9:42 AM? 719 How many minutes are there between 9:17 PM and 9:00 AM? 703 How many minutes are there between 4:39 PM and 3:41 AM? 662 How many minutes are there between 8:12 AM and 6:46 PM? 634 What is 96 minutes after 6:12 AM? 7:48 AM What is 249 minutes before 6:24 AM? 2:15 AM What is 552 minutes before 11:14 AM? 2:02 AM How many minutes are there between 4:38 PM and 5:28 PM? 50 What is 236 minutes before 8:53 AM? 4:57 AM How many minutes are there between 3:05 PM and 3:55 PM? 50 How many minutes are there between 9:59 AM and 9:03 PM? 664 How many minutes are there between 6:10 AM and 11:23 AM? 313 How many minutes are there between 2:13 PM and 10:21 PM? 488 How many minutes are there between 6:24 PM and 10:27 PM? 243 What is 176 minutes before 6:45 PM? 3:49 PM What is 401 minutes after 7:52 PM? 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4:43 PM How many minutes are there between 12:55 PM and 5:50 PM? 295 How many minutes are there between 2:10 PM and 8:16 PM? 366 What is 385 minutes before 11:08 PM? 4:43 PM What is 492 minutes before 12:30 AM? 4:18 PM What is 111 minutes after 9:40 AM? 11:31 AM What is 354 minutes before 11:07 PM? 5:13 PM How many minutes are there between 4:27 AM and 2:13 PM? 586 How many minutes are there between 10:24 PM and 12:36 AM? 132 How many minutes are there between 4:02 AM and 11:45 AM? 463 What is 303 minutes after 7:42 AM? 12:45 PM What is 123 minutes after 11:37 PM? 1:40 AM How many minutes are there between 2:53 AM and 2:52 PM? 719 How many minutes are there between 2:08 AM and 1:25 PM? 677 What is 401 minutes after 3:09 AM? 9:50 AM What is 446 minutes after 6:20 AM? 1:46 PM How many minutes are there between 10:50 PM and 7:15 AM? 505 What is 552 minutes after 10:49 AM? 8:01 PM What is 488 minutes after 11:34 AM? 7:42 PM What is 644 minutes before 4:40 PM? 5:56 AM How many minutes are there between 11:04 AM and 2:08 PM? 184 How many minutes are there between 12:40 AM and 6:04 AM? 324 How many minutes are there between 12:56 AM and 7:37 AM? 401 What is 158 minutes before 1:46 AM? 11:08 PM How many minutes are there between 10:35 PM and 7:09 AM? 514 How many minutes are there between 3:09 PM and 11:54 PM? 525 What is 466 minutes after 11:37 PM? 7:23 AM What is 107 minutes after 4:24 PM? 6:11 PM What is 467 minutes after 8:23 PM? 4:10 AM What is 96 minutes after 7:56 PM? 9:32 PM What is 62 minutes after 4:56 PM? 5:58 PM How many minutes are there between 11:45 AM and 6:49 PM? 424 How many minutes are there between 10:13 AM and 12:49 PM? 156 How many minutes are there between 11:23 PM and 9:30 AM? 607 What is 623 minutes before 4:03 AM? 5:40 PM How many minutes are there between 2:47 AM and 12:52 PM? 605 What is 584 minutes after 1:57 AM? 11:41 AM What is 209 minutes after 7:47 AM? 11:16 AM How many minutes are there between 4:50 PM and 4:40 AM? 710 How many minutes are there between 3:35 PM and 2:18 AM? 643 How many minutes are there between 4:07 PM and 11:57 PM? 470 How many minutes are there between 4:09 PM and 6:15 PM? 126 How many minutes are there between 10:55 PM and 8:11 AM? 556 How many minutes are there between 2:00 PM and 4:32 PM? 152 How many minutes are there between 3:15 AM and 2:55 PM? 700 What is 514 minutes before 3:47 AM? 7:13 PM How many minutes are there between 1:47 AM and 6:24 AM? 277 How many minutes are there between 7:18 AM and 6:18 PM? 660 What is 474 minutes before 1:15 AM? 5:21 PM What is 480 minutes after 3:54 AM? 11:54 AM What is 20 minutes before 9:48 AM? 9:28 AM How many minutes are there between 3:40 PM and 9:53 PM? 373 How many minutes are there between 9:15 PM and 8:02 AM? 647 How many minutes are there between 11:12 PM and 5:26 AM? 374 How many minutes are there between 12:10 AM and 1:38 AM? 88 How many minutes are there between 10:22 AM and 7:14 PM? 532 How many minutes are there between 12:39 AM and 11:31 AM? 652 What is 581 minutes before 12:59 PM? 3:18 AM How many minutes are there between 4:24 PM and 3:21 AM? 657 What is 130 minutes before 12:19 PM? 10:09 AM What is 14 minutes after 1:47 PM? 2:01 PM What is 432 minutes before 10:43 PM? 3:31 PM How many minutes are there between 6:28 AM and 12:35 PM? 367 What is 418 minutes before 5:36 PM? 10:38 AM How many minutes are there between 2:14 AM and 5:04 AM? 170 What is 42 minutes after 1:28 AM? 2:10 AM How many minutes are there between 1:55 PM and 12:56 AM? 661 What is 707 minutes before 9:41 AM? 9:54 PM What is 313 minutes before 2:20 AM? 9:07 PM How many minutes are there between 4:29 PM and 11:52 PM? 443 What is 589 minutes before 1:48 PM? 3:59 AM How many minutes are there between 11:49 AM and 2:24 PM? 155 How many minutes are there between 11:39 AM and 3:35 PM? 236 What is 682 minutes after 9:38 PM? 9:00 AM How many minutes are there between 8:16 AM and 5:52 PM? 576 What is 240 minutes after 6:24 AM? 10:24 AM How many minutes are there between 12:58 AM and 11:44 AM? 646 What is 173 minutes after 9:04 PM? 1
{ "pile_set_name": "DM Mathematics" }
*f**2 + 24*f + 54 Find the second derivative of -i**4*u**2 - 7*i**2*u**3 + 126*i**2 + i*u**3 - 2358*i*u**2 wrt i. -12*i**2*u**2 - 14*u**3 + 252 Find the first derivative of -1238*p**3 - p + 8733 wrt p. -3714*p**2 - 1 What is the third derivative of 5*j**3*u**3 - 27*j**3*u**2 - j**3 - 69*j*u**6 wrt u? 30*j**3 - 8280*j*u**3 Find the third derivative of -1593*i**3*t + i**2*t + i**2 - 74*i wrt i. -9558*t Find the second derivative of -19*o**2*u*v**2 - o**2*u*v - 2*o**2*v**2 + 3*o*u*v - 48*o*v**2 + 2*o - 2*u*v**2 - 2*u wrt o. -38*u*v**2 - 2*u*v - 4*v**2 What is the derivative of 2572*t - 5386? 2572 Find the third derivative of -a**4*y**3 - 92*a**3*y**3 + 156*a**2*y**3 wrt a. -24*a*y**3 - 552*y**3 What is the derivative of -83*b**2*r**3*x - 7*b**2*x - 2*r*x wrt r? -249*b**2*r**2*x - 2*x What is the third derivative of -2*q**6 + 205*q**4 - 55*q**2 - 35 wrt q? -240*q**3 + 4920*q Find the second derivative of -4*m**3*z - m**2*r**2*z - m**2*r*z**3 - 2*m*r**2 - m*r*z + 5*m*z**3 - 2*r**2*z wrt m. -24*m*z - 2*r**2*z - 2*r*z**3 Find the second derivative of -a**3*v**2 + 68*a**3 - 2*a**2*v - a*v**3 + 4*v**2 wrt v. -2*a**3 - 6*a*v + 8 What is the first derivative of 2*j*q*r - 32*j*q - j*r**2 + 2*j - 3*q*r**2 + 6*q*r + 6*r**2 - 26*r wrt q? 2*j*r - 32*j - 3*r**2 + 6*r What is the third derivative of -13322*v**5 - 7*v**2 + 38*v? -799320*v**2 What is the third derivative of -424*l**4*v**2 + 16*l**4*v + 881*l**2 + 3*v**2 wrt l? -10176*l*v**2 + 384*l*v Find the second derivative of 16*r**4 + r**3 + 131*r**2 + 3632*r. 192*r**2 + 6*r + 262 What is the derivative of -c**3*l + 1208*c**3 - 4*c*l + 1 wrt l? -c**3 - 4*c Find the third derivative of 2*b**2*g**3 - b**2*g**2 + 3*b*g**2 - g**3*u + 112*g**3 - u wrt g. 12*b**2 - 6*u + 672 Find the third derivative of -4*i**5 - 70*i**4 + i**3 - 814*i**2 + 8 wrt i. -240*i**2 - 1680*i + 6 What is the third derivative of -j*t**6 + 52*j*t**2 - 2*j - 4*t**6 - 11*t**4 + t**2 wrt t? -120*j*t**3 - 480*t**3 - 264*t Find the third derivative of 2*r**6 + 1713*r**4 + 4512*r**2. 240*r**3 + 41112*r What is the third derivative of -398*d*g**4 + 8*d*g**2 + 47*d*g wrt g? -9552*d*g What is the second derivative of -3827*g**5 - 2*g**3 - g**2 + 5786*g wrt g? -76540*g**3 - 12*g - 2 Differentiate 89*d**3 + 2*d**2 + 2162 wrt d. 267*d**2 + 4*d Find the first derivative of -5*j*t**3 + 1275*j - 75*t**3 wrt t. -15*j*t**2 - 225*t**2 Find the second derivative of 632*g*p**5 + 42*g*p - 2*p**5 - p**2 + p wrt p. 12640*g*p**3 - 40*p**3 - 2 Find the third derivative of 1478*n**3 + 345*n**2 wrt n. 8868 Find the second derivative of c**3*u**2 + 78*c**3*u + c**2*u + 23*c**2 - c - 2*u**2 + 8*u + 13 wrt c. 6*c*u**2 + 468*c*u + 2*u + 46 Find the second derivative of -229*m**5 + 5*m**4 + 4*m**3 + 7247*m wrt m. -4580*m**3 + 60*m**2 + 24*m What is the third derivative of 48*l**5*y**2 + 86*l**5 + 3*l**2*y**2 + 3*l**2*y + 2*l*y**2 - 8 wrt l? 2880*l**2*y**2 + 5160*l**2 What is the third derivative of 345*w**5 + 2330*w**2 wrt w? 20700*w**2 Find the second derivative of -96*d**2*h**2 - 3*d**2*h - 5*d**2 + 5*d wrt h. -192*d**2 What is the first derivative of 3*y**4 - 15*y**3 + 104? 12*y**3 - 45*y**2 What is the third derivative of 359*g**6 + 183*g**2? 43080*g**3 Find the second derivative of 6*a**3*s**2*x - 5*a**3 - 12*a*s*x - 950*s**2 - 5*s*x + 4*x wrt s. 12*a**3*x - 1900 Find the third derivative of 20*a*g**4 - a*g**3 + a*g**2 + 72*g**2 wrt g. 480*a*g - 6*a What is the second derivative of -10*f**5 + 306*f**4*q**2 + 71*f*q**2 - 8*f*q wrt f? -200*f**3 + 3672*f**2*q**2 What is the first derivative of 52*c*r**3 - 103*c - 6*r**3 wrt r? 156*c*r**2 - 18*r**2 Differentiate 2*y**3*z**3 - y*z**3 - 39*y*z + 26*y - 6*z**3 + 33*z with respect to y. 6*y**2*z**3 - z**3 - 39*z + 26 Find the second derivative of -26*x**4 - 8*x + 6 wrt x. -312*x**2 What is the second derivative of -2*z**5 - z**4 + 1164*z**3 - 10275*z wrt z? -40*z**3 - 12*z**2 + 6984*z Find the second derivative of b**2*m*o**2 - 2*b**2*o - 304*b**2*w - 2*b**2 + b*o*w - 3112*b*w - m*o**2*w - 2*m*o**2 wrt b. 2*m*o**2 - 4*o - 608*w - 4 Differentiate 2*b*q**2 + 272*b*q + 5256*b + 2*q wrt q. 4*b*q + 272*b + 2 Differentiate -4*b**2*i - 4320*b**2 + 267*i**2 with respect to i. -4*b**2 + 534*i Find the second derivative of 7*j**3*s - 2*j**3 + 3*j**2*s*w + 4*j*s + 21*s - w - 1 wrt j. 42*j*s - 12*j + 6*s*w What is the third derivative of -25234*z**3 - 3*z**2 - 8*z + 2 wrt z? -151404 Find the third derivative of 42*a*k**4*q + 3*a*k**4 - 42*a*k**2 - 6*a*q - 22*k**4*q - 2*k**2 + 3*k*q + k wrt k. 1008*a*k*q + 72*a*k - 528*k*q Find the first derivative of -10*j**4 - 24*j*o - 423*o wrt j. -40*j**3 - 24*o Differentiate 35*h*i*l*u - 51*h*l + 2*i*l*u - 2*i*l + l + 37*u with respect to h. 35*i*l*u - 51*l What is the derivative of 169*l*v + 3*v wrt l? 169*v What is the third derivative of -3*c**4 + 201*c**3 - 7*c**2 - 14*c? -72*c + 1206 Find the second derivative of -3716*p**3 + 4*p + 341. -22296*p What is the second derivative of 146*b**5 - 41*b - 3 wrt b? 2920*b**3 Differentiate 2983*y - 3791. 2983 What is the third derivative of -8759*b**3*z**3 + b**3*z + 268*b*z**2 + b wrt z? -52554*b**3 What is the second derivative of -27*h**2*v**2 + h**2 - 2*h*v**2 + 8*h + 6*v**2 wrt h? -54*v**2 + 2 Find the second derivative of 114*j**2*n**2 + 2*j**2*n + 15*j*n**2 + 2*n**2 + 1189*n wrt n. 228*j**2 + 30*j + 4 What is the first derivative of 30*b**4 - 9*b**3*o - 3*b - 266*o + 6 wrt b? 120*b**3 - 27*b**2*o - 3 What is the derivative of -169*l + 219? -169 Find the second derivative of -69*j**3 + 4*j**2 - 3*j - 392 wrt j. -414*j + 8 Differentiate 1316*q**4 - 11253 with respect to q. 5264*q**3 What is the second derivative of -3078*y**3 - y**2 + 800*y? -18468*y - 2 Find the second derivative of 12*i**2*l**4 - 5*i**2*l**3 - 7*i**2*l - 14*i*l - 2*l wrt l. 144*i**2*l**2 - 30*i**2*l What is the third derivative of 29*v**6 + 19*v**2 - 7? 3480*v**3 Differentiate 2*a**2*l**2 + 2525*a**2 - 21*a*l**2 - 27*l**2 wrt l. 4*a**2*l - 42*a*l - 54*l What is the second derivative of 75*b**2*h*r**2*z**2 - 2*b**2*h*r**2 + b**2*h*r*z**2 - 2*b**2*h*r - 15*b**2*r*z**2 + 2*b**2*z**2 + h*z wrt r? 150*b**2*h*z**2 - 4*b**2*h Find the third derivative of 6*f**4 - 215*f**3 - 122*f**2 - 2 wrt f. 144*f - 1290 What is the derivative of -800*k*p**2 + 166*k - 8*p**2 + 3 wrt p? -1600*k*p - 16*p Find the first derivative of -466*l**4 - 2*l**2 - 10*l + 8405 wrt l. -1864*l**3 - 4*l - 10 What is the second derivative of 10*u**3*w**2 - 4*u**3*w - u**2*w**3 + 98*u*w**3 - 2*u*w wrt u? 60*u*w**2 - 24*u*w - 2*w**3 What is the second derivative of 22235*k**2*u**4 - 12*k**2 - 259*u wrt u? 266820*k**2*u**2 Find the third derivative of -x**5 + 6*x**4 - 85*x**3 - x**2 - 29*x + 52 wrt x. -60*x**2 + 144*x - 510 What is the derivative of 3*a**2*q**2 + 93*a**2 + 5*a*q**2 + 6*q**2 + 1 wrt q? 6*a**2*q + 10*a*q + 12*q What is the derivative of -63*q + 164? -63 Differentiate 7*h*v**2 - 2378*h - v**2 + 40*v wrt v. 14*h*v - 2*v + 40 Find the first derivative of -c**3*t**2 + 44*c**2*t**3 + 49*t**3 - 2*t**2 wrt c. -3*c**2*t**2 + 88*c*t**3 What is the derivative of -d**3*p*v + 21*d**3*p + 2*d**3*z**2 + 3401*d**2*p*v*z**3 - 2*d**2*z**3 + 2*z wrt v? -d**3*p + 3401*d**2*p*z**3 What is the third derivative of -919*m**3 + 3*m**2 - 378*m wrt m? -5514 What is the first derivative of -8*b**3*x + 52*b**3*z + 2*b*x - b*z - 5*x*z wrt x? -8*b**3 + 2*b - 5*z What is the third derivative of 15*i*n**3*r - 2*i*n**3 - 2*i*n**2*r - 5*i*n + 3*n**3*r + 30*n**2*r + 2*r wrt n? 90*i*r - 12*i + 18*r Find the third derivative of -4*k**4*l**3 + 97*k**4 - 2*k**2*l**3 + 645*k**2 + k wrt k. -96*k*l**3 + 2328*k Find the second derivative of -295*w**2 - 1397*w wrt w. -590 Find the second derivative of 2691*t**2 - 4399*t. 5382 What is the first derivative of -151*b*i**2*x**2 + 8*b*x**3 - 5784*i**2*x**2 + i*x**3 wrt b? -151*i**2*x**2 + 8*x**3 Find the first derivative of -86*r + 62 wrt r. -86 What is the first derivative of 2*q**2*s**2 - 2*q**2 + 2329*q*s - 11*s**2 + 35 wrt q? 4*q*s**2 - 4*q + 2329*s What is the third derivative of -27*k**5*r**2 + 5*k**3*r**2 + 33*k**2 + 2*k*r**2 - 1 wrt k? -1620*k**2*r**2 + 30*r**2 Find the third derivative of -44*n**6 - 143*n**2. -5280*n**3 What is the third derivative of -266*n**3*y + n**3 + n**2*y - 17*n**2 + 2*n
{ "pile_set_name": "DM Mathematics" }
60)/44*84/(-10)? -14 Evaluate ((-68)/(-238))/((-6)/(-21)). 1 Evaluate ((-3)/(-3))/(49*(-13)/(-91))*3. 3/7 What is ((-6)/16)/((-261)/(-464))*6*-2? 8 What is the value of 36/14*455/195? 6 What is the value of (((-90)/99)/10)/((-335)/2211)? 3/5 Evaluate (2250/900)/(25/1). 1/10 Calculate (-215)/(-129)*(-9)/20*(-5)/6. 5/8 What is the value of (-34)/(-2)*(-336)/(-1428)? 4 (3/3)/((-60)/30) -1/2 What is the value of ((-365)/146*44/5)/(4/2)? -11 What is (-90)/96*(-16)/24? 5/8 ((-72)/(4/(-1)))/((-6)/(-2)) 6 Evaluate 15/24*5/(325/156). 3/2 (-22)/(-22)*(-49)/21*-3 7 ((15/(-2))/(-5))/(810/360) 2/3 What is the value of (((-216)/(-63))/(-4))/(24/112)? -4 Evaluate (4/10)/(1*(-9)/9). -2/5 Evaluate (((-288)/(-112))/3)/((-4)/(224/4)). -12 -46*(-2)/(27/((-324)/48)) -23 What is the value of (1*20)/(940/376)? 8 Calculate (-1040)/390*(-3)/(-4)*-2. 4 What is -7*(-20)/340*2*(-3)/(-21)? 2/17 Calculate (-14)/175*5/1*2/(-4). 1/5 Calculate (396/(-2178))/((-2)/154). 14 (297/135)/(1/(-3)*9/15) -11 What is ((-7)/210*-9)/((-38)/(-380))? 3 What is the value of (2720/30)/(-17)*162/(-756)? 8/7 What is (-21)/(-1)*((-484)/(-22))/(-198)? -7/3 What is ((-588)/(-48))/((-77)/(-44))? 7 Calculate (2/(-11))/(((-2112)/(-44))/(-16)). 2/33 Evaluate (48/(-9))/(60/90). -8 What is the value of 210/(-77)*(32/(-10))/8? 12/11 Evaluate 4*(-8)/6*(-783)/(-464). -9 (812/1624)/(2/44) 11 Evaluate 253/506*(-40)/(16/(-4)). 5 Evaluate (600/2300)/((-9)/(-276)). 8 What is the value of (258/(-86))/((19/95)/(2/2))? -15 Calculate 12*((-252)/27)/14. -8 What is the value of ((26/4)/(75/(-150)))/(16/16)? -13 What is the value of 32/48*(-21)/(-14)? 1 What is the value of ((-18)/(-6))/(19/(855/81)*5)? 1/3 Evaluate (-189)/(-81)*21/1078. 1/22 (2/48)/((-292)/(-7008)) 1 What is ((-170)/(-4))/(-25*33/(-330))? 17 What is the value of ((-44)/(-154))/(60/(-21))? -1/10 Calculate 11/(-33)*2*2/((-28)/9). 3/7 What is the value of (5/(10/(-4)))/((-164)/(-1230))? -15 Evaluate (234/117)/((-2)/(-2)*3/(-21)). -14 Evaluate 11*-3*6/(-18). 11 What is the value of (57/38)/(-3*3/60)? -10 What is (-22)/77*((-4)/((-64)/40))/(-5)? 1/7 Evaluate (182/39)/((-8)/(-2)). 7/6 (684/(-3990))/((-8)/(-10)) -3/14 What is the value of ((-230)/(-161)*14)/(-2)? -10 Calculate 2/2*187/187. 1 Evaluate (10/4)/(((-1360)/(-224))/17). 7 Evaluate (-7)/(-140)*20*(-5)/((-10)/(-38)). -19 12/(-198)*-11*(1350/(-5))/6 -30 What is the value of (16/(-10))/(2366/455)? -4/13 Evaluate ((-5)/7)/(1160/1015). -5/8 Calculate (7/(-14))/(15*5/(-390)). 13/5 What is the value of (((-7)/(-14))/((-6)/36))/(28/7)? -3/4 (-270)/(-24)*74/333 5/2 What is ((-9)/(-12)*(-608)/72)/(2/(-6))? 19 Evaluate ((-16)/(-56)*(-21)/9)/((-11)/198). 12 Evaluate 2/(-8)*640/(-1760). 1/11 What is the value of (-45)/81*-3*-7*(-10)/1575? 2/27 What is (63/54)/((-77)/(-33))? 1/2 What is the value of ((-12)/12)/(6/48)? -8 Evaluate ((10/(-76))/5)/(20/432*27). -2/95 Calculate (12/(-178))/((-2)/(((-960)/45)/(-32))). 2/89 Evaluate (-12)/(-4)*(10/8)/(30/(-40)). -5 What is the value of 147/12*696/609? 14 Evaluate -2*14*5/35. -4 Calculate (-15)/2*66/(-55). 9 60/65*15/((-11970)/(-273)) 6/19 What is the value of (-4)/(-102)*42/(56/(-4))? -2/17 What is the value of (-12)/21*(-3)/3*(-22)/(-220)? 2/35 What is the value of 7/(3724/57)*-4*3? -9/7 What is (3/(((-9)/(-2))/(-3)))/((-6)/(-21))? -7 What is the value of -6*(47215/114)/(-71)? 35 Calculate -4*49*(-70)/(-1176)*3/1. -35 Calculate (32/(-8))/((-312)/(-12)). -2/13 What is the value of 1*(-70)/130*13? -7 Calculate 10/(-2)*(-84)/(-2520). -1/6 44/33*(-6)/(-104)*-4 -4/13 What is ((-184)/(-391))/4*-1? -2/17 What is the value of ((-4)/(-30))/(((-22)/(-44))/((-10)/(-12)))? 2/9 What is ((7007/(-26))/(-49))/((-1)/2)? -11 (-4)/70*10*(60/(-8))/15 2/7 (-2)/(-4)*156/((-96)/16) -13 Calculate -5*-15*(-26)/16575. -2/17 Evaluate (-1)/5*49/((-32634)/185). 1/18 What is (3/(-12)*4)/((-4)/44)? 11 ((-217)/(-70)*5)/((84/12)/14) 31 What is (105/(-10))/(-7)*-3*(-28)/18? 7 (42/(-1))/3*((-253)/11)/(-23) -14 What is the value of (-5)/18*104/(-260)? 1/9 Evaluate (-33)/(-2)*117/((-2106)/(-12)). 11 Evaluate -6*4/128*(-2)/(-3). -1/8 Evaluate 20/(-90)*-30*2/(-10). -4/3 Evaluate (100/(-100))/(((-21)/175)/((-2)/10)). -5/3 What is the value of 6/32*24/(-36)*34/(-119)? 1/28 8*(-4)/8*29/174 -2/3 Calculate ((73/511)/(18/21))/(3/15). 5/6 Evaluate 1/(((-387)/(-36))/(-43)). -4 Calculate ((-12)/49)/(7/(686/(-28))). 6/7 10/2*(-1120)/(-350) 16 What is the value of (-12)/1*(-113)/(-226)? -6 What is 35728/(-5742)*((-126)/(-4))/(-7)? 28 Calculate (-28)/(-20)*(-334)/1169. -2/5 Calculate (104/(-832))/(1/((-4)/(-1))). -1/2 Calculate (126/(-540)*-3)/(154/33). 3/20 Evaluate (-5)/((-360)/(-27))*-4. 3/2 What is the value of 4*-2*(-8)/(-608)? -2/19 What is -20*43/(-1720)*76? 38 Calculate (78/(-6))/39*-36. 12 What is ((-186)/62)/(-6*4/8)*2? 2 27/(-135)*12/4 -3/5 Evaluate 9/(-4)*1192/(-894). 3 What is -28*9/(189/(-15))? 20 (-7)/2*(-424)/(-1484) -1 Calculate (193/1158*(-27)/(-2))/((-3)/36). -27 Calculate 10/(-130)*260/(-4). 5 2*(-3)/5*435/522*17 -17 What is the value of (((-4)/3)/2)/(3262/(-2097))? 3/7 What is the value of 0/(-34)*2/(-2)? 0 Calculate 16/200*240/(-32)*(-1)/(-6). -1/10 What is (-26)/((-2470)/(-171))*-5? 9 Calculate 15*(-6)/(-288)*-8. -5/2 What is (44/(-9))/(44/(-24))? 8/3 What is the value of (-224)/280*15/42? -2/7 Evaluate (-20)/((-280)/49)*-4. -14 What is (-12)/(-104)*(-96)/144? -1/13 What is the value of (-936)/2457*14/(-24)? 2/9 Evaluate ((-40)/36)/(-5)*(-1125)/(-750). 1/3 Calculate (21/70*-1)/(18/105). -7/4 Evaluate ((-21)/(-84))/((-4)/((-96)/(-20))). -3/10 Calculate (-1*(-3)/(-3))/((-149)/(-2235)). -15 Evaluate ((-20)/210)/((-4)/(12/(-3))). -2/21 What is (((-7)/14)/((-36)/(-96)))/(-4)? 1/3 What is (6/(-16))/((-6720)/2560)? 1/7 ((-5)/(140/(-3)))/((-63)/84) -1/7 Evaluate (-84)/(-63)*13/((-13)/(-6)). 8 What is 85/85*((-5)/11)/(-1)? 5/11 Evaluate ((-13)/(-2))/((-9)/(-6)*22/(-66)). -13 What is the value of 6/(-140*(-20)/(-100))? -3/14 What is 40/18*((-396)/(-48))/11? 5/3 What is (-1)/((-57)/(855/30))? 1/2 What is 1/6*-30*2? -10 Calculate ((-2)/(-30))/(((-6498)/760)/(-57)). 4/9 What is the value of (42/4)/((-72)/(1008/(-28)))? 21/4 What is the value of 9/270*7/(14/(-16))? -4/15 What is 3/(-4)*2/(-3)*58660/(-2933)? -10 Calculate 0*(-51)/(-255)*15/9. 0 What is the value of (-6)/(1/((-5)/(-3)*144/(-120)))? 12 Evaluate (225/(-36))/(100/400). -25 Calculate (1800/125)/(-18)*5*9/60. -3/5 What is the value of 11/(-44)*12*2*1/(-42)? 1/7 Calculate ((-15)/20)/(114/(-19)). 1/8 Evaluate (-24)/146*1353/(-8118). 2/73 What is the value of (12/(3456/32))/((-16)/18)? -1/8 0/((12*(-27)/36)/9) 0 Evaluate 4/10*(940/(-141))/(4/6). -4 Evaluate -1*(-12)/(-130)*59/(3009/170). -4/13 4/((204/12)/(-408))*(-2)/(-6) -32 (4/28)/((-588)/1029) -1/4 Evaluate 63/(-6)*(-182)/(-273). -7 What is (-275)/25*3/3*1? -11 What is 216/16*8/(-9)? -12 Calculate (5056/(-316))/((-12)/(-2)). -8/3 Evaluate (-444)/518*(28/(-4))/((-8)/(-2)). 3/2 What is the value of ((-4)/(-4))/((3*(-6)/(-9))/(-22))? -11 Evaluate (-98)/(28/(-4))*(8/14)/2. 4 9*(-56)/(-126)*(-6)/((-24)/(-14)) -14 (5*12)/(-3)*(-116)/1856 5/4 ((-4)/(-6))/(248/(-1023)*-11) 1/4 9/(54/12)*1*(-54)/(-12) 9 Calculate ((-3)/18)/((-5)/12*4/(-3)). -3/10 ((-2)/12)/((-124)/(-93)) -1/8 Evaluate (-19)/38*8*10/(-210). 4/21 What is 3/(-3)*48/32*44/6? -11 Evaluate (22/814)/(((-26)/(-39))/((-16)/12)). -2/37 Evaluate ((-1)/2)/((-44)/1848). 21 Calculate (-884)/(-663)*(-1)/(-1*(-3)/18). -8 Calculate (((-576)/12)/(-8))/((-1)/9*-3). 18 What is (-108)/90*(30/(-25))/((-18)/(-100))? 8 What is the value of (22/(-10))/((9/(-60))/((-47)/(-376)))? 11/6 What is ((-125)/(-20))/((-355)/142)? -5/2 Calculate (5/(40/38))/((-90)/360). -19 (-150)/(-3000)*(-3)/3 -1/20 What is the value of (15/6)/((234/(-108))/13)? -15 Calculate (-8)/3*(-25)/(300/(-18)). -4 What is 32/4*((-450)/40)/(-9)? 10 (11660/265)/(2/(3/3)) 22 Evaluate (636/3498)/((-34)/22). -2/17 What is 30/(-240)*8/(-3)? 1/3 What is the value of (1/(-4))/((-99)/(-12))*(-204)/17? 4/11 What is the value of (2/(-12))/((-50)/(-60))*25/(-6)? 5/6 ((-9)/(-42)*8)/((-142)/1491) -18 ((-15)/45)/((-1219)/138) 2/53 (13/(-156)*-4)/((-2)/18) -3 What is ((-4)/600)/((-58)/348)*10? 2/5 Evaluate (-1)/3*-2*(-38)/76. -1/3 What is (22/((-1848)/(-63)))/((-126)/(-16))? 2/21 What is the value of (1/2)/((-
{ "pile_set_name": "DM Mathematics" }
) - sqrt(38)/sqrt(32)))*2 + ((sqrt(228) + -1*sqrt(228))/sqrt(12) + (sqrt(76) - sqrt(76)*2) + sqrt(76))*4)*-6)**2. -1731375 Simplify (-2*(sqrt(133) + -1*sqrt(133)*2 - 1*sqrt(133)*1))/((sqrt(252) - -1*sqrt(252))/sqrt(4) - (-1*sqrt(6300) + sqrt(6300) - sqrt(6300))) + 5. sqrt(19)/9 + 5 Simplify ((3*sqrt(99)*-1 + sqrt(99))*-4*4)/(sqrt(18)/sqrt(2)*2 + sqrt(9) - (sqrt(576) - sqrt(576)*2)). 32*sqrt(11)/11 Simplify (1 + 4*(0 + sqrt(612) + sqrt(612)*-2 - sqrt(612)) - ((sqrt(612) - (sqrt(612) + -1)*3 - 6*(2 + sqrt(612))) + 1))**2. 81 Simplify (sqrt(136)*-4*2 + ((sqrt(136) - -3*sqrt(136)) + sqrt(136))*-3)/((4*sqrt(32)/sqrt(2))/sqrt(288)). -69*sqrt(17) Simplify -2*((-5 + -1*sqrt(539) - (2 + -3 + sqrt(539))) + -2)**2. -4384 - 336*sqrt(11) Simplify (5*-1*(sqrt(1458) + (sqrt(1458) - (sqrt(1458) + -3*sqrt(1458)))*6))**2 + 5 + -2. 13158453 Simplify (-3*1*sqrt(102)*2*5)/((1*sqrt(90)/sqrt(3))/(-4*(sqrt(5) + (sqrt(5) - 2*sqrt(5) - sqrt(5))))). -120*sqrt(17) Simplify -6*(-6*((sqrt(143) - (sqrt(143) + -2*sqrt(143) + sqrt(143))*-4) + sqrt(143)))/(sqrt(22)/(-3*sqrt(10)/sqrt(5))). -216*sqrt(13) Simplify ((sqrt(220) - (sqrt(220)*-1 - sqrt(220))*-3)/((sqrt(40)/sqrt(2))/sqrt(5)))/(-1*(sqrt(275) + sqrt(275)*-2*-5)). sqrt(5)/11 Simplify 2 + ((-1*(sqrt(1701) + sqrt(21)))/(sqrt(30)/(sqrt(10)*-1)))**2*-2 + 4 + 1. -1393 Simplify (((sqrt(1280)*-1 - sqrt(1280))*-4 - sqrt(1280))*-6)/((2*sqrt(40))/sqrt(10) - 1*sqrt(576)) + 3. 3 + 168*sqrt(5)/5 Simplify (-5 + 0 + sqrt(500) + -1 + sqrt(500) + -5 - (sqrt(500) + 1 + -4 + 6*(sqrt(500) + sqrt(500) + 1)))**2. 3080*sqrt(5) + 60696 Simplify -2 + (1 + (sqrt(832)*1 - sqrt(832)) + 3*(-2 + sqrt(832)) - (-1 + sqrt(832) + -3 + 5 + 0))**2. -192*sqrt(13) + 3362 Simplify (((0 + sqrt(1900) + sqrt(1900) - sqrt(1900)) + -1 - (sqrt(38) - (2*sqrt(380))/sqrt(10))/sqrt(2)) + -3*sqrt(1539)*4 + -4*(sqrt(1539) + 0))**2. 266*sqrt(19) + 336092 Simplify (3*(-3 + sqrt(243) + -1 + sqrt(243) + 5 + (sqrt(243) - 6*2*sqrt(243)) + -2 + 5))**2. -5832*sqrt(3) + 177291 Simplify ((0 + sqrt(7) + sqrt(63)/sqrt(9))**2 - ((sqrt(112)*-5 + sqrt(112))**2 - sqrt(112))) + (-5*sqrt(252)/sqrt(4))/(sqrt(1089) + 1*sqrt(1089) - sqrt(1089)). -1764 + 39*sqrt(7)/11 Simplify -6*((sqrt(2448) + -2*sqrt(2448))*6*5)**2 + (5*-1*sqrt(136) + sqrt(136))/(sqrt(88)/(sqrt(22)/sqrt(2))). -13219200 - 4*sqrt(17) Simplify (sqrt(192) - (sqrt(192) + (sqrt(192) - 3*sqrt(192)) + sqrt(192)) - sqrt(1452)*-3)/(sqrt(64)/sqrt(4) + sqrt(400)). 37*sqrt(3)/12 Simplify -5 + (-2*sqrt(19) - sqrt(19)) - -2*(0 + sqrt(19)) - ((sqrt(931)*-2*1)**2 - ((sqrt(931) - sqrt(931)*-1) + -4)). -3733 + 13*sqrt(19) Simplify ((4 + 5 + (2 + sqrt(175) - sqrt(175)) - ((0 + sqrt(175))*4 + (2 + (1*sqrt(175) - sqrt(175)) + sqrt(175) - sqrt(175))))*-6)**2. -12960*sqrt(7) + 103716 Simplify (((-1*sqrt(156) - sqrt(156))*5 - sqrt(156))*2*4)/(5*-1*sqrt(1452)*6). 4*sqrt(13)/15 Simplify (sqrt(640)*2*1 + -5*sqrt(640)*-2)/(((sqrt(500)*1)/sqrt(10))/(sqrt(10)*2*-4)). -768*sqrt(2) Simplify (sqrt(40) + sqrt(40)*1*-2)/((sqrt(32)*1)/sqrt(4)) + ((-1*sqrt(60))/sqrt(12) + sqrt(5) - sqrt(405)/sqrt(9)). -4*sqrt(5) Simplify 5 + (sqrt(1600)*-3*-4)/(6*(sqrt(56)/sqrt(112) - sqrt(8))) + 5. -80*sqrt(2)/3 + 10 Simplify -3*(-3 + -2 + (sqrt(168) + sqrt(168) + (sqrt(168) - (sqrt(168) + (sqrt(168)*2 - sqrt(168))) - sqrt(168)))/(sqrt(12)/sqrt(18)))**2 + 4 + -5. -76 Simplify -2*((sqrt(240)*-3 - sqrt(240) - sqrt(240))*1)/(sqrt(132)/(sqrt(132)/(sqrt(24)/sqrt(2))))*4. 80*sqrt(5) Simplify 3*(-1*sqrt(1440)*-2 - (sqrt(1440) + sqrt(1440) + (6*sqrt(1440)*2 - sqrt(1440))))/((sqrt(392) - -1*sqrt(392)*-2)*3). 66*sqrt(5)/7 Simplify ((sqrt(19) - -4*sqrt(76)/sqrt(4))**2 - (-1 + sqrt(19) + sqrt(19))*1)*-6 + (2 + sqrt(19)*-3 - (sqrt(209) + sqrt(209)*3)/sqrt(11))**2. -1921 - 16*sqrt(19) Simplify ((sqrt(1008) + -1)*1 - (-2 + 0 + sqrt(1008))**2)*-2 + 2 + (sqrt(1008)*2*-2)**2 + -1*sqrt(1008) + 3. -132*sqrt(7) + 18159 Simplify (0 + 5*(sqrt(56)/sqrt(72) - sqrt(7)) + 3)**2 + (sqrt(28)/sqrt(4)*5 - sqrt(700)*-2 - (sqrt(70)*2 - sqrt(70))/sqrt(10)*1). 4*sqrt(7) + 781/9 Simplify (-2*(-2*sqrt(72)*3)/sqrt(4))/(-3*sqrt(225) - -3*sqrt(144)). -4*sqrt(2) Simplify 2 + (sqrt(2736) + sqrt(2736) + 0 + sqrt(152)/sqrt(8) + 0)**2 + (sqrt(171)*1*-1 + 0)**2. 12048 Simplify (1 + 4*(-1 + 0 + sqrt(125) - -2*sqrt(125)*-3)*1*4)**2. 12000*sqrt(5) + 800225 Simplify ((2*(sqrt(84) + (sqrt(84)*2 - sqrt(84))) - (sqrt(84)*-1 - sqrt(84))*-2)*5)/(3*sqrt(144)/sqrt(192))*4. 0 Simplify sqrt(35)/(sqrt(7) + sqrt(21)/sqrt(3)) + 2 + (-4*sqrt(150)/sqrt(3))/sqrt(10) + 0 + sqrt(720) + 1 + 1*2*sqrt(405). 3 + 53*sqrt(5)/2 Simplify -1*(sqrt(77) + -3*-2*sqrt(77) + 2*sqrt(77)*3)/(6*(5*(sqrt(275)*-1 - sqrt(275)) + sqrt(275) - sqrt(275))). 13*sqrt(7)/300 Simplify ((-5 + 0 + sqrt(304) + 3*(sqrt(304) + -4) + -5)*-6)**2. -25344*sqrt(19) + 192528 Simplify (-1 + -3*(sqrt(448) + 0) + -2 + 2 + 0 + sqrt(448) + -2 + 4)**2. -32*sqrt(7) + 1793 Simplify (((sqrt(456) + 1*-1*sqrt(456) + sqrt(456))/((sqrt(8) + sqrt(16)/sqrt(2))*6))/((sqrt(54)/sqrt(3)*4)/((sqrt(6) - sqrt(6)*-1)*4)))**2. 19/36 Simplify (sqrt(132) + sqrt(132)*3*-2 + sqrt(132) + 1*sqrt(132)*2)/((sqrt(216)/sqrt(6) - sqrt(36))/sqrt(3) - sqrt(120)/(sqrt(10)*1)). 2*sqrt(11) Simplify ((-2*(sqrt(1100) + -2 - sqrt(1100)) + sqrt(1100))*4*4)**2 - -5*-5*-6*sqrt(55)/(sqrt(80) + sqrt(5)). 20510*sqrt(11) + 285696 Simplify (-1*1*sqrt(243)*-2)**2 + (4*sqrt(243)*2 - sqrt(243))**2 + (0 + sqrt(243) + sqrt(243) + -2)**2. -72*sqrt(3) + 13855 Simplify (-1*3*(-5*sqrt(170)*-4 - sqrt(170)))/((sqrt(1000) + 2*sqrt(1210))*6). -19*sqrt(17)/64 Simplify (-2*-1*(3*sqrt(12)/(sqrt(6) + sqrt(48)/sqrt(8) + sqrt(6))*5 + -5))**2. -200*sqrt(2) + 300 Simplify (-3*sqrt(16)/(1*sqrt(8)*-1) + 5 + sqrt(10)/sqrt(5) + -2 + 1)**2. 32*sqrt(2) + 48 Simplify ((-1*sqrt(110)*3 - ((sqrt(110) + (sqrt(110)*2 - sqrt(110)))*-6 - sqrt(110)))/((sqrt(480) + sqrt(480)*1)/sqrt(12)*-1))**2. 275/4 Simplify ((sqrt(170) + sqrt(170)*-2 + sqrt(170))*-1 + sqrt(170) + (sqrt(170) - 3*sqrt(170))*-5)/(sqrt(60)/(-2*sqrt(96))*4). -22*sqrt(17) Simplify ((sqrt(272)*1*-2*6 - (3*sqrt(272)*-1 - (sqrt(272) + -1)*5)) + -5)**2. 320*sqrt(17) + 4452 Simplify ((0 + (5*(sqrt(891) + 2*sqrt(891)) - (sqrt(891) - (1 + (sqrt(891) - (sqrt(891)*-1 + sqrt(891)))))))*-4)**2*-4 + -4. -12830468 - 17280*sqrt(11) Simplify 1 + 2 + -2 + (sqrt(832) + -4*-1*sqrt(832))*4 + 1. 2 + 160*sqrt(13) Simplify ((sqrt(486) - sqrt(486)*1)/(sqrt(4)/sqrt(32)) - (-3 + 5 + sqrt(3)*1 + -2*(sqrt(3) + sqrt(27)))**2) + 5. -146 + 28*sqrt(3) Simplify 4 + (1*(-2*sqrt(27))**2 + 4 + sqrt(162)/sqrt(6)*4*-5)*-1. -108 + 60*sqrt(3) Simplify (((-1*sqrt(672) + sqrt(672))/sqrt(12) - -5*sqrt(224)/sqrt(4))/(sqrt(72)/(sqrt(9) - sqrt(81)) - 3*(sqrt(8) - sqrt(72))) + -2)**2. -40*sqrt(7)/11 + 1184/121 Simplify ((sqrt(208) + 2)*5 - ((sqrt(208) - (sqrt(208) + 5*(-2 + sqrt(208)))) + sqrt(208)) - (2 + (sqrt(143)/(-2*sqrt(11))*5)**2)) + 3. -321/4 + 36*sqrt(13) Simplify (4 + (6*(2*sqrt(700) - sqrt(700))*-5*-3 - (((sqrt(700) - (sqrt(700) + 0)) + sqrt(700) - sqrt(700))*-2 - ((sqrt(700) - (sqrt(700) + 1)) + 1))*-4))**2. 7200*sqrt(7) + 5670016 Simplify (sqrt(190)*-3)/sqrt(10)*-4 + 6*(sqrt(228) + sqrt(228)*-1 + sqrt(228))/sqrt(12) + 3. 3 + 18*sqrt(19) Simplify 2 + 4*(1 + sqrt(19)) + 0 + sqrt(19) + sqrt(152)/sqrt(8) + -2 + 1. 5 + 6*sqrt(19) Simplify (-2 + (sqrt(1573) + sqrt(1573)*3)*5 - (-4 + sqrt(1573) + -1 + 5*(sqrt(1573) + -1 + sqrt(1573))))**2*-2. -254954 - 3168*sqrt(13) Simplify ((sqrt(130) + 5*(sqrt(130)*-2 + sqrt(130)))/(sqrt(40)/(sqrt(4) - -1*sqrt(4))) + (1*sqrt(130)*4)/((sqrt(30)/sqrt(3) + sqrt(10))*-5 - sqrt(10)) + 1)**2. -184*sqrt(13)/11 + 110153/121 Simplify ((sqrt(1088) + -5*sqrt(1088) + 2 + sqrt(1088) - ((sqrt(1088)*-5 + sqrt(1088) - sqrt(1088)) + -4))*1)**2 + 0. 192*sqrt(17) + 4388 Simplify -4 + (sqrt(931)*5 + -4 + sqrt(931) + 3)**2*2 + -5 + 3. -168*sqrt(19) + 67028 Simplify (4 + 3*((-2 + sqrt(363) + sqrt(363))*-2 + -2 + -4 + sqrt(363) + sqrt(363) + 2 + 3))**2. -1716*sqrt(3) + 13237 Simplify (4 + 4*((sqrt(210)/sqrt(7))/sqrt(6) - sqrt(10)/sqrt(8))*-4)**2. -64*sqrt(5) + 336 Simplify (sqrt(132)/sqrt(12))/((sqrt(16) + sqrt(4))*-6) + ((1*sqrt(132))/sqrt(6))/(-1*sqrt(2)*2). -19*sqrt(11)/36 Simplify (3*(sqrt(720) + sqrt(720)*2)*6*5 + 2 + -4*(sqrt(720) - (-3 + (0 + sqrt(720) - sqrt(720)))))**2. -63840*sqrt(5) + 50944420 Simplify (-1*(-1*(1
{ "pile_set_name": "DM Mathematics" }
ive prob of picking 1 w, 1 p, and 1 h. 11/182 What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 4, p: 2, g: 3}? 2/9 What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 6, c: 4}? 1/2 What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 7, r: 2}? 7/18 What is prob of picking 2 g when two letters picked without replacement from {s: 10, g: 2, d: 3}? 1/105 Four letters picked without replacement from {w: 7, s: 4}. Give prob of picking 4 s. 1/330 What is prob of picking 1 e and 1 l when two letters picked without replacement from eleeellllellllll? 11/24 Calculate prob of picking 1 j and 1 v when two letters picked without replacement from joov. 1/6 Calculate prob of picking 1 w and 2 g when three letters picked without replacement from gcgswpn. 1/35 Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {g: 7, v: 3}. 7/40 Three letters picked without replacement from rrrrrlrmxrrrrkkr. What is prob of picking 1 k, 1 r, and 1 x? 11/280 Calculate prob of picking 1 h, 1 a, and 1 f when three letters picked without replacement from {a: 4, h: 3, k: 4, f: 4}. 48/455 What is prob of picking 1 a, 1 l, and 1 c when three letters picked without replacement from dalldctgatlglca? 24/455 Four letters picked without replacement from {i: 2, r: 2, c: 2, d: 1, j: 1}. Give prob of picking 1 j, 2 r, and 1 d. 1/70 Calculate prob of picking 2 p when two letters picked without replacement from {e: 1, u: 1, p: 3}. 3/10 Three letters picked without replacement from kydcr. What is prob of picking 1 y, 1 d, and 1 c? 1/10 Two letters picked without replacement from vvpvvpvvvpvv. What is prob of picking 2 v? 6/11 Two letters picked without replacement from {p: 3, b: 1, j: 1, w: 2, h: 1, m: 5}. Give prob of picking 1 h and 1 b. 1/78 Three letters picked without replacement from gajvvgavgn. What is prob of picking 1 g and 2 a? 1/40 Three letters picked without replacement from {y: 3, l: 6, h: 1, e: 5}. What is prob of picking 1 h and 2 y? 3/455 Two letters picked without replacement from {o: 2, a: 1, g: 1, c: 2, d: 1, b: 2}. What is prob of picking 1 c and 1 d? 1/18 Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {x: 3, i: 5, h: 1, b: 2, f: 5}. 1/560 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {s: 6, t: 8, p: 1, r: 3}. 1/51 Two letters picked without replacement from pgppptgtggtp. What is prob of picking 1 t and 1 p? 5/22 What is prob of picking 3 n and 1 a when four letters picked without replacement from vwnvwaninuvn? 4/495 Three letters picked without replacement from zxqqgqz. Give prob of picking 1 g, 1 x, and 1 z. 2/35 Two letters picked without replacement from wmwfmmwmfmwf. What is prob of picking 2 m? 5/33 Calculate prob of picking 2 r and 1 a when three letters picked without replacement from alflrlfofffrlll. 1/455 Two letters picked without replacement from {h: 1, g: 3, d: 1}. What is prob of picking 1 h and 1 d? 1/10 Three letters picked without replacement from wwvwwvwwhwvwwvfvv. Give prob of picking 1 h and 2 w. 9/170 Three letters picked without replacement from {n: 5, k: 2}. Give prob of picking 1 n and 2 k. 1/7 Three letters picked without replacement from gycigyycyg. What is prob of picking 1 g, 1 i, and 1 y? 1/10 Four letters picked without replacement from uubbbubuduubuuububdu. Give prob of picking 4 u. 22/323 What is prob of picking 4 v when four letters picked without replacement from {p: 1, v: 5, a: 9, f: 1}? 1/364 Two letters picked without replacement from {f: 1, e: 2, m: 1, n: 3}. Give prob of picking 1 f and 1 m. 1/21 What is prob of picking 3 s when three letters picked without replacement from {p: 3, s: 5, l: 3}? 2/33 What is prob of picking 1 r and 1 z when two letters picked without replacement from {r: 2, q: 3, k: 2, a: 2, z: 3, n: 4}? 1/20 Three letters picked without replacement from {o: 3, b: 1, k: 11}. What is prob of picking 1 o, 1 k, and 1 b? 33/455 Four letters picked without replacement from fknnknfkkknfkkffnnn. What is prob of picking 2 f and 2 n? 35/646 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dadbdaaaddaaad. 6/13 Four letters picked without replacement from {w: 3, l: 7}. Give prob of picking 1 w and 3 l. 1/2 Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {y: 1, s: 1, j: 1, v: 3, h: 2, q: 5}. 5/143 Calculate prob of picking 1 q and 2 u when three letters picked without replacement from {l: 1, g: 5, q: 1, u: 4}. 2/55 What is prob of picking 2 r when two letters picked without replacement from {r: 7}? 1 Four letters picked without replacement from wwsbgbbbcbwbbbbbbw. What is prob of picking 4 b? 11/102 Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {y: 5, f: 11}. 55/182 What is prob of picking 1 t and 1 d when two letters picked without replacement from {d: 4, t: 3, o: 6, r: 1}? 12/91 Calculate prob of picking 1 p and 1 i when two letters picked without replacement from prrirtrtrettrptlrrlp. 3/190 Three letters picked without replacement from {d: 4, e: 2}. What is prob of picking 1 e and 2 d? 3/5 Two letters picked without replacement from lllll. What is prob of picking 2 l? 1 Two letters picked without replacement from {g: 7, c: 2, v: 2}. Give prob of picking 1 c and 1 g. 14/55 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from hhhhwhwhwhw. 28/55 Calculate prob of picking 2 k when two letters picked without replacement from {h: 4, k: 2}. 1/15 Three letters picked without replacement from ruuurmruum. What is prob of picking 3 u? 1/12 Three letters picked without replacement from {l: 3, q: 3}. Give prob of picking 2 l and 1 q. 9/20 Three letters picked without replacement from {y: 2, v: 3, i: 5}. Give prob of picking 1 i, 1 v, and 1 y. 1/4 Calculate prob of picking 2 l when two letters picked without replacement from {o: 7, r: 2, l: 5}. 10/91 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from jjqjqbjjbqqqjjbjqq. 1/34 What is prob of picking 1 n and 2 l when three letters picked without replacement from {l: 9, n: 3}? 27/55 What is prob of picking 1 b and 2 l when three letters picked without replacement from {g: 2, r: 1, s: 4, m: 6, b: 2, l: 3}? 1/136 Three letters picked without replacement from shpdzsswpzp. Give prob of picking 2 z and 1 s. 1/55 Four letters picked without replacement from jjjjjjjjjj. What is prob of picking 4 j? 1 Four letters picked without replacement from vcceceeccvcev. What is prob of picking 2 c and 2 v? 9/143 Two letters picked without replacement from {w: 3, d: 3}. What is prob of picking 1 w and 1 d? 3/5 What is prob of picking 2 x when two letters picked without replacement from xxxxommmmxmommomxxxo? 14/95 Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, h: 17}. 1/171 Three letters picked without replacement from xhyhyhyhyyyhhyy. Give prob of picking 1 x, 1 y, and 1 h. 48/455 What is prob of picking 2 g and 2 s when four letters picked without replacement from {v: 4, g: 2, s: 10}? 9/364 What is prob of picking 2 n and 1 z when three letters picked without replacement from zznzzzzzzzzzzzzznzzn? 17/380 Calculate prob of picking 1 l and 1 r when two letters picked without replacement from yylrrryyyryryryylr. 14/153 Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {p: 1, x: 1, i: 1, u: 4, k: 2, h: 3}. 1/66 Calculate prob of picking 1 w and 2 m when three letters picked without replacement from wwwwwwmwmwwwwwwmwwww. 17/380 What is prob of picking 1 s and 1 r when two letters picked without replacement from mnqrs? 1/10 What is prob of picking 1 m and 1 z when two letters picked without replacement from amaazzaza? 1/12 Three letters picked without replacement from wppqpwrpwq. What is prob of picking 2 q and 1 p? 1/30 Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from jpffffpfcsfffmffjs. 5/204 Four letters picked without replacement from rrrruru. Give prob of picking 2 u and
{ "pile_set_name": "DM Mathematics" }
(f) 1/5 f Which is the smallest value? (a) -76.5 (b) -0.4 (c) 7 (d) -2 a What is the sixth smallest value in -1, 2, -0.1, 4, -2179, 0? 4 Which is the third smallest value? (a) -1/91 (b) 203 (c) 0.2 b What is the third smallest value in 1/7, -1/3, -6/5, 53? 1/7 What is the second biggest value in -3, 1.3, -15416? -3 Which is the fifth smallest value? (a) 1/4 (b) 2/15 (c) 0.32 (d) -0.2 (e) 23 e Which is the third smallest value? (a) 745 (b) -0.2 (c) 5 (d) -0.5 (e) 2/3 e Which is the biggest value? (a) 0.14 (b) -4 (c) -2418 a What is the biggest value in -17, 1/4, 4316? 4316 Which is the second biggest value? (a) -0.2 (b) 2 (c) 1/7 (d) 89/2 b Which is the biggest value? (a) -21 (b) 3 (c) -0.3 (d) 0.025 (e) 0.4 b What is the smallest value in -2, -240350, 5? -240350 What is the sixth smallest value in 0.08, 3/2, 5, 1, -3, 1/3? 5 Which is the biggest value? (a) -1/4 (b) 1/3 (c) 0.3 (d) -7973 (e) -4/5 b What is the third biggest value in -14, -46, 1/5, 42? -14 Which is the second smallest value? (a) -0.5 (b) 34/7 (c) -1.23 a What is the second biggest value in 15/13, -0.3, 3/4, 0.5, 2/21, -1? 3/4 Which is the fifth smallest value? (a) -0.75 (b) 12.8 (c) -1 (d) -3 (e) 0.4 b What is the second smallest value in -5, 0.5, 3, -2/5, 1707, -1/7? -2/5 What is the fourth smallest value in -7/4, 0.1, -0.2, -0.1, -202? -0.1 What is the fourth biggest value in 21663, -0.2, 7, 3/5? -0.2 Which is the smallest value? (a) 3/2 (b) -1/9 (c) 0.67 b What is the smallest value in -3, 31/27, -163? -163 What is the fourth smallest value in -0.34, 2, 2/7, 51? 51 What is the fourth smallest value in 0.5, 6, -1, -5/7, 28, -7? 0.5 Which is the fifth smallest value? (a) 19 (b) 0.2 (c) -5/6 (d) 2/11 (e) -2/9 (f) -4/93 b What is the fifth biggest value in 3/10, 2/9, 27, 1, 0.1? 0.1 Which is the fifth biggest value? (a) 9 (b) -5 (c) 2/29 (d) -0.4 (e) -0.9 b What is the sixth smallest value in -935, 2, -4/7, 5, -0.052, 0.09? 5 Which is the second smallest value? (a) -77 (b) -0.2 (c) -0.4 (d) -1 (e) 0.5 d Which is the second biggest value? (a) -4 (b) -82 (c) -250 b Which is the biggest value? (a) -1/5 (b) 0.1 (c) 0.5 (d) -117 (e) 2/5 c What is the second biggest value in 107, -12/13, 1, 4, -3? 4 What is the sixth smallest value in 0, 3/5, 0.4, -73, 5, -2? 5 What is the third smallest value in 5, -39, 4, -0.085? 4 What is the third biggest value in 187/4, -2/21, 1/6, -0.3? -2/21 What is the smallest value in -1/5, -3, -8643, -1/3? -8643 Which is the second smallest value? (a) -0.4 (b) 6 (c) -79/4 (d) -2 (e) -10 e What is the fifth biggest value in -0.61, 91, 0, -4.2, 2? -4.2 Which is the smallest value? (a) 2/11 (b) 1.2 (c) 0.4 (d) 2/519 (e) 1 d What is the third biggest value in 131.9846, -2/21, -4? -4 Which is the second smallest value? (a) 3 (b) -0.0055 (c) -25/7 b What is the biggest value in -0.3, 76, 0? 76 Which is the third biggest value? (a) 0 (b) 0.3 (c) -5 (d) 37/8 (e) 1/3 (f) -0.3 b Which is the smallest value? (a) 27 (b) 2/11 (c) -4309 c What is the fourth smallest value in -21, 0.3, -4/9, -2.9? 0.3 Which is the third smallest value? (a) -9/25 (b) 2/25 (c) -13 (d) 0.5 b Which is the third smallest value? (a) 1 (b) -1.61 (c) 3188 c Which is the second smallest value? (a) -1/3 (b) 0.071 (c) 4 (d) -1 a Which is the second smallest value? (a) 2 (b) -0.1 (c) 0.083 (d) 3/4 (e) 5 c Which is the third smallest value? (a) 5 (b) 10479 (c) -5 b What is the fourth biggest value in -55, 2/9, -0.1, -0.6, -34? -34 Which is the fifth biggest value? (a) -2/3 (b) -13 (c) -371 (d) -13/6 (e) 0 c Which is the third smallest value? (a) -2 (b) -1164 (c) 1 c Which is the third biggest value? (a) 4 (b) 0.2 (c) -134 (d) -13 (e) -1/2 e Which is the second smallest value? (a) -2/38073 (b) 2/5 (c) -1 (d) -2/3 (e) 0.3 d Which is the fourth smallest value? (a) 1/9 (b) -3 (c) 0.07 (d) -16/17 a Which is the third smallest value? (a) -5 (b) 1.1 (c) 2 (d) 2234 c Which is the fifth smallest value? (a) -2/9 (b) 0.07 (c) 37 (d) 1 (e) 5 (f) -141 e What is the smallest value in -1.1, 0.2, -0.4464? -1.1 What is the fifth biggest value in -4, 2, 16, 23/3, 3? -4 Which is the fourth smallest value? (a) 1682 (b) -10 (c) 1/9 (d) -1/2 (e) -4 c Which is the fifth biggest value? (a) -5 (b) -1 (c) -6/11 (d) 15 (e) 3 (f) -3 f Which is the fifth smallest value? (a) 1/5 (b) 0 (c) -0.45 (d) 22 (e) 2/13 d Which is the biggest value? (a) 0.4 (b) -157 (c) -0.11 (d) -2 a What is the fifth smallest value in 26, -0.2, 44/15, -2/5, 1? 26 What is the smallest value in -0.06, -2, 4, 57, -3? -3 Which is the biggest value? (a) 2/51 (b) -7 (c) 1 c Which is the third smallest value? (a) -14 (b) -306/5 (c) 23 c What is the third biggest value in 1/17, -0.04, -1, 3/494? -0.04 What is the smallest value in 0.4, 1/31, 10.5, -3? -3 Which is the biggest value? (a) -0.2 (b) 1 (c) -5 (d) -3/2 (e) 0.599 b Which is the fourth smallest value? (a) 1.04 (b) -355 (c) -3/8 (d) -1 a What is the biggest value in 370, -6, -15? 370 What is the second biggest value in 356, -1/4, 0.04? 0.04 Which is the second biggest value? (a) 0.1 (b) -5 (c) -20 (d) 1/6 (e) -1 (f) 13 d What is the third smallest value in 7.5, 0, 813? 813 Which is the second biggest value? (a) -4 (b) 2 (c) 7 (d) 0.2 (e) -0.386 (f) -1/4 b What is the second smallest value in -4, 0.02, 4, 55940, 0? 0 Which is the second biggest value? (a) 6 (b) 2/7 (c) 49 a What is the fourth smallest value in 3, 3518, 1.4, -1? 3518 What is the smallest value in -2/5, 17, -11, -0.07, 0.1? -11 What is the fourth biggest value in 26, -5, 3, -2398, -2/7, 0.2? -2/7 What is the smallest value in -1, -38, 2, 57, 0.2? -38 What is the third biggest value in 21, -587, -2? -587 Which is the smallest value? (a) 0.24 (b) -13/10 (c) -0.5 b What is the fifth biggest value in 1, -4, 3, 25, 22, 0.97? 0.97 Which is the third smallest value? (a) 20 (b) 5 (c) 3/10 (d) 104/21 b Which is the smallest value? (a) 1 (b) 5 (c) -2/1377 c What is the third biggest value in 0, -0.3, -0.208, -4, 5/6? -0.208 Which is the biggest value? (a) 501 (b) 1/5 (c) 0.05 (d) -3/4 (e) -94 a What is the fourth biggest value in 11.8, -5, 6/5, -3? -5 What is the biggest value in 1173, -0.5, 0, 1/5, 5, 26? 1173 What is the smallest value in 12, 105, 1/6, 0? 0 Which is the third biggest value? (a) -3 (b) -1758 (c) 0.2 (d) 3 a Which is the second smallest value? (a) -35.2 (b) 4 (c) 384 (d) 1/3 (e) -3 e Which is the fifth smallest value? (a) -0.09 (b) 4014 (c) -0.2 (d) 0.2 (e) 0 b What is the fourth biggest value in 3803, -4, -2, -1/3, -3, 1/6? -2 Which is the second smallest value? (a) 41 (b) 1/6 (c) 269.8 a What is the second smallest value in -43/5, 5, -3/5, 4, 18, 6? -3/5 Which is the third smallest value? (a) 126 (b) 0.2 (c) 4 (d) 5 (e) 3/11 (f) -5 e Which is the second biggest value? (a) -1/2 (b) -0.02 (c) 0.4 (d) 1/12 (e) 0.1 (f) 6 c What is the biggest value in -3, -0.6, 5, 0.1, -4/25? 5 Which is the second smallest value? (a) -4 (b) 0.5 (c) -0.0796 c What is the smallest value in -9/5, 2/5, 74, 5, 0.35, -2/9? -9/5 What is the third smallest value in 2/9, -0.02, -3, 2, 0.99, 6? 2/9 Which is the third smallest value? (a) -0.75 (b) 28 (c) -2 b Which is the fifth biggest value? (a) -3 (b) -8/103 (c) 0 (d) 20 (e) -2 a What is the biggest value in -0.2, 2/5, 0.9329, -0.14? 0.9329 What is the third smallest value in -20/9, -53, 0.4? 0.4 Which is the third smallest value? (a) -1/3 (b) 33 (c) 0 (d) 3 (e) 5 d What is the biggest value in 0.3, 1/3, 4, -2/3099? 4 Which is the third smallest value? (a) -7 (b) 3 (c) -1.1 (d) -24/13 (e) -5 d Which is the second smallest value? (a) 0 (b) 93.037 (c) 0.5 c What is the second biggest value in 2136/11, -8, 1/2, -0.3? 1/2 What is the third biggest value in 5, -55, -4, -4/5, 0.62? -4/5 Which is the fifth smallest value? (a) -72 (b) -1/9 (c) -1/8 (d) 1.4 (e) 1/5 d Which is the third smallest value? (a) -0.5 (b) -156/7 (c) -0.096 c Which is the second smallest value? (a) 0.4 (b) 2/49 (c) 3 (d) 5 a What is the smallest value in -1/6, 4, -52.3, 1/2, -
{ "pile_set_name": "DM Mathematics" }
12) Simplify (b**(-34)*b)/b*b*b**(4/9)*b assuming b is positive. b**(-284/9) Simplify (r/r**18*r)/(r*r**(-2/13)*r) assuming r is positive. r**(-232/13) Simplify (t**(-1/3))**(-1/23)*(t**(-2/7))**(4/27) assuming t is positive. t**(-121/4347) Simplify (o**(2/7))**(-14/3)/(o/(o*o**(-5/4))*o/o**1) assuming o is positive. o**(-31/12) Simplify ((m/m**(-6/5)*m)/m*m)**49 assuming m is positive. m**(784/5) Simplify v**(4/3)/v**(7/4) assuming v is positive. v**(-5/12) Simplify n/n**7*n*(n**1*n)/n*n*(n**0)**0 assuming n is positive. n**(-3) Simplify (b**3)**(-8/3) assuming b is positive. b**(-8) Simplify ((b*b**(-3))/b**0)/(b/(b*b/b**(-1/4)))**(-2/55) assuming b is positive. b**(-45/22) Simplify (b/b**(-6)*b*b/((b*b**(-1/2))/b*b))**(3/28) assuming b is positive. b**(51/56) Simplify (b**(-2/13)/b*(b*(b*b*b**8)/b)/b*b)/(b*b*b**(1/3))**16 assuming b is positive. b**(-1111/39) Simplify (o**(-6)*o**(-3/2)/o)**(3/35) assuming o is positive. o**(-51/70) Simplify g/(g*g**21)*g**(-9) assuming g is positive. g**(-30) Simplify q**(-4/15)*q*q**(-5)*q*q assuming q is positive. q**(-34/15) Simplify (h*h/(h*h*h**0))**28*(((h**(-3/5)/h)/h)/h)**(-5/16) assuming h is positive. h**(9/8) Simplify (g**1)**15*g**(1/2)/(g**9/g) assuming g is positive. g**(15/2) Simplify ((j/j**(1/10))/j)/(j*j*j**(-23)*j) assuming j is positive. j**(199/10) Simplify ((z/(z**0/z))**(2/5))**(-50) assuming z is positive. z**(-40) Simplify y**(-11)/y*y**(2/3)/y assuming y is positive. y**(-37/3) Simplify (z*z**(2/47)/z)/(z*z**(-1/7)/z*z) assuming z is positive. z**(-268/329) Simplify (n**(3/10)/(n**(-3/10)*n))/((n*n*n/(n/(n*n*n/(n/((n/(n*n**(-1/3)/n))/n))*n*n))*n)/n)**(-13/7) assuming n is positive. n**(1193/105) Simplify ((b*b/(b/b**(2/3))*b)**29)**25 assuming b is positive. b**(5800/3) Simplify ((i**(-3/5)/i)/i*i*((i*i/((i**(-5)/i)/i))/i)/i*i)**(1/10) assuming i is positive. i**(16/25) Simplify r**(-11)*(r*r**(1/9))/r assuming r is positive. r**(-98/9) Simplify w**(-2/31)/(w**3/w) assuming w is positive. w**(-64/31) Simplify (t/t**(5/2))/t*t*t/(t*t**(-16))*t assuming t is positive. t**(31/2) Simplify n**(-14)/n*n*n/n**(-1/4) assuming n is positive. n**(-51/4) Simplify (b**4/b)**(2/49) assuming b is positive. b**(6/49) Simplify ((d*d*d/(((d**7*d*d)/d*d*d)/d))/(d/(d*d/d**(-5))))/(d**(-6)*d**6*d) assuming d is positive. 1/d Simplify ((u*(u**1*u)/u*u)**(-37))**(-2/3) assuming u is positive. u**74 Simplify (((m**(1/2)*m)/m)/m**(3/4))/((m*(m/(m**(1/10)/m))/m)/(m**0/m)) assuming m is positive. m**(-63/20) Simplify v*((v**(-1/3)/v)/v)/v*v*v**(1/2) assuming v is positive. v**(-5/6) Simplify (y*y**(-2/9)*y**6)/((y**(-1)/y)/y)**(13/3) assuming y is positive. y**(178/9) Simplify u**(-1/3)/(u/((u/(u/(u*u**(-1))*u)*u)/u*u))*(u*(u*u**(-5))/u)/u**5 assuming u is positive. u**(-31/3) Simplify a*a**12*a*a**(-3/2) assuming a is positive. a**(25/2) Simplify ((j*j*j/(j*j*j/(j*j**(-36)))*j)/j*j)**(4/7) assuming j is positive. j**(-136/7) Simplify z*z/(z**4*z*z*z*z)*z**(7/2) assuming z is positive. z**(-5/2) Simplify ((q**3*q)/(q*q*q/(q*q**2)))/(q**9*q/(q*q**(2/17)/q)) assuming q is positive. q**(-100/17) Simplify t**(-6)*((t/t**(-8)*t)/t)/t*t*t**8*t**0 assuming t is positive. t**11 Simplify n**(15/8)/n*n**(-2/63) assuming n is positive. n**(425/504) Simplify m**(-2/9)*m*m**(-3) assuming m is positive. m**(-20/9) Simplify (v/(v**(5/2)/v*v))/(v/(v*(v/((v**3/v)/v))/v))*(v/(v*v**(1/4)*v))/((((v/v**1)/v*v*v*v)/v)/v) assuming v is positive. v**(-15/4) Simplify a/(a**(-7/2)*a)*a**(-7) assuming a is positive. a**(-7/2) Simplify (x**0*x*x**(1/4))/(x**(-2/5)/x**(-10)) assuming x is positive. x**(-167/20) Simplify ((q/(q*q/(((q/(((q*q**(-4))/q)/q))/q)/q)))/q*q*q**0)**(3/8) assuming q is positive. q**(9/8) Simplify ((x*x*(x/(((x*x*x**(-6))/x)/x))/x)/(x*x**3))/(x*x**4*x*x*x**(-5)/x) assuming x is positive. x**3 Simplify c*c**(1/21)/c*c*c**(4/3) assuming c is positive. c**(50/21) Simplify ((q/q**(-1/6))/q**2)/((q/(q/q**1))/(q/q**(-2/7))) assuming q is positive. q**(-23/42) Simplify (b**(-46))**(-4/15) assuming b is positive. b**(184/15) Simplify (l*l**(-1/3))**(-1/28)/(l/(l**1/l*l*l))**(-34/3) assuming l is positive. l**(-159/14) Simplify ((m**(3/7))**20)**(2/73) assuming m is positive. m**(120/511) Simplify (h*h/h**(-1/6)*h)**(-46) assuming h is positive. h**(-437/3) Simplify (c*c*c*c**26)**24 assuming c is positive. c**696 Simplify ((p**(1/2)*p)/(p**6/p*p))/((p*p/p**5*p)/(p*p**(-1/9))) assuming p is positive. p**(-29/18) Simplify (f/(((f**2*f)/f)/f)*f**(-3)/f)**(-15) assuming f is positive. f**60 Simplify (q*q/(q/(q**26/q)))/q*q**(-1/18) assuming q is positive. q**(449/18) Simplify (u**1)**(-23)/(u/(u/(u/(u*u*(u*u**0)/u)*u))*u)**11 assuming u is positive. u**(-34) Simplify (b**(1/3))**(12/13)/((b/b**4)/(b/((b**(-5/6)*b)/b))) assuming b is positive. b**(401/78) Simplify v*v/((v**(-24)/v)/v)*v*v/(v**27*v) assuming v is positive. v**2 Simplify u**(-17)/(u/u**(-28)) assuming u is positive. u**(-46) Simplify ((n**(-2)/n)/((n/(n*n/n**3))/n))**50 assuming n is positive. n**(-200) Simplify (k**11)**14 assuming k is positive. k**154 Simplify (v**7/v*v)**(-2/69) assuming v is positive. v**(-14/69) Simplify ((b*(b/(b*(b*b/(b/((b/b**(2/7))/b*b*b)*b))/b))/b)/b)**(-3/4)*(b/b**0*b)**(-2/47) assuming b is positive. b**(395/329) Simplify (w**(2/7)/w)**(-40/3)*(w*w**0)/w**(-1) assuming w is positive. w**(242/21) Simplify (v/(v**(-2/9)*v*v))**5 assuming v is positive. v**(-35/9) Simplify (t**0)**(-12/11)/(t**5*t*t*t/t**(2/11)*t) assuming t is positive. t**(-97/11) Simplify g**(-3/2)*(g**(-6)/g)/g*g*g**(-6/11)/g**(-1) assuming g is positive. g**(-177/22) Simplify k*k/(k*k/((k*k**(9/5))/k))*(k*k**(1/23)*k)/k assuming k is positive. k**(327/115) Simplify h*h/h**35*h**(-46) assuming h is positive. h**(-79) Simplify ((q**5/q)/(q**(-9)*q))**(-12/5) assuming q is positive. q**(-144/5) Simplify (t**(-1))**(-13/3) assuming t is positive. t**(13/3) Simplify (c**23*c*c)/c**4 assuming c is positive. c**21 Simplify u**(-1/22)*u/(((u**(-2/47)/u)/u)/u) assuming u is positive. u**(4133/1034) Simplify (c/(((c**(-11/2)/c*c)/c)/c))**(1/37) assuming c is positive. c**(17/74) Simplify a**(-3/13)*a**(-21) assuming a is positive. a**(-276/13) Simplify ((p**(-1/4)*p)/(p*p/p**(-2/9)))**(-5/2) assuming p is positive. p**(265/72) Simplify f**13*f**(4/5) assuming f is positive. f**(69/5) Simplify ((b/(b/(b**1/b*b)))/b)**2*b*b/((b*b/(b*b*((b*(b/(b*b**(-2/5)))/b)/b)/b*b))/b)*b*b/(b**(3/7)*b) assuming b is positive. b**(104/35) Simplify ((h**(-2/5)*h)**(-13))**45 assuming h is positive. h**(-351) Simplify ((a*a**(-2/3))/a)**(-36)/(a**(-2))**(-5/11) assuming a is positive. a**(254/11) Simplify (d/d**(-3/2))/(((d*d**1)/d)/d)*((d**0*d)/d)**4 assuming d is positive. d**(5/2) Simplify ((l*l/((l*l**(-6))/l)*l*l*l)/l**(-2/13))**(-3) assuming l is positive. l**(-435/13) Simplify m**(-4/7)*m**0 assuming m is positive. m**(-4/7) Simplify (y/y**(2/43))/((y*y/y**21*y)/y) assuming y is positive. y**(858/43) Simplify o/((o**(-29)/o)/o)*o**21 assuming o is positive. o**53 Simplify (r*r*r*r/(r/(r**4*r))*r**(-10))**(-17) assuming r is positive. r**34 Simplify (m*m*m**2*m)**30*(m**2/m)**(-36) assuming m is positive. m**114 Simplify ((f/(f**(2/3)*f))/f*f*f*f*((f*f**(1/6)*f)/f)/f)/((f*f**(-2/5))/f**(1/4)) assuming f is positive. f**(23/20) Simplify ((t**(-3)/t)/t**(5/2))/(t**(-4)/(t**(-2)/t)) assuming t is positive. t**(-11/2) Simplify t**(1/8)/t**(-2/15) assuming t is positive. t**(31/120) Simplify ((h**(2/3)*h)/h*h)**(-46)/(h**(-1/2)/h**3) assuming h is positive. h**(-439/6) Simplify z**(11/3)*z**(-9)/z*z assuming z is positive. z**(-16/3) Simplify (f**(-7/5)*(f*f/(f/(f**(-8/5)/f))*f)/f)**(-37) assuming f is positive. f**111 Simplify (o**9)**41 assuming o is positive. o**369 Simplify b**(-35)/(b**(-17)/b) assuming b is positive. b**(-17) Simplify (z/z**(-1)*z)**(-10)*((z*z**3*z)/z)/((z/((z*((z/(z*(z*z**(-6)*z*z*z*z)/z))/z)/z*z)/z)*z)/z) assuming z is positive. z**(-26) Simplify ((y/(y*y/y**(-7)*y))/y)**(13/3) assuming y is positive. y**(-130/3) Simplify (r**(3/8)/(r**7*r))**44 assuming r is positive. r**(-671/2) Simplify ((c*c**2*c)/c*(c*c*c*c**(-3)/c)/c)/((c/(c/(c*c/(c**(-1/4)*c))))/c)**(7/8) assuming c is positive. c**(25/32) Simplify (l**(1/6)/(l*l*l**(-1/3)*l))/(l**(-1)/l*l*l**(-1/6)*l)
{ "pile_set_name": "DM Mathematics" }
7 - 13639 = -94*b + 46688. Does 31 divide b? True Let m be (0 - -1944) + 53 + -59. Suppose -26*n + 2872 + m = 0. Is n a multiple of 11? False Let n(s) = s**3 - 53*s**2 + 814*s - 72. Does 36 divide n(36)? True Is 74 a factor of (-4318)/254 - -1*6871? False Suppose 151446 = 148*k - 698. Is k a multiple of 11? False Let u(w) = 2*w**3 - 6*w**2 + 2*w - 7. Let b(t) = t + 16*t - 16 - 19*t. Let v be b(-10). Is 6 a factor of u(v)? False Let n be (-8)/(-10)*(-62 + 1 - -1). Let d = 435 + n. Does 43 divide d? True Suppose -g + 2*o + 18046 = 0, 0 = -2*g + 33*o - 32*o + 36098. Is 25 a factor of g? True Let w = 3457 - -20103. Is w a multiple of 310? True Suppose 212 = 22*x - 20*x. Suppose -i + 504 = x. Suppose -3*b + 109 = -i. Is 30 a factor of b? False Let g(w) = 7*w**2 + 194*w + 202. Does 7 divide g(-30)? False Let o(d) = -14*d - 18. Let n be o(-5). Suppose 4*f = 5*i + 38 - 182, n = 2*i - 3*f. Suppose -i = 5*j - 387. Is j a multiple of 10? False Let g = 128 - -10. Let i = 148 - g. Does 2 divide i? True Suppose 11889*v = 11888*v + 627. Is v a multiple of 19? True Is 4340/(-8)*(5/(-6) + (-10439)/390) a multiple of 69? True Let r = 17145 - 7701. Is r a multiple of 8? False Let x(g) = -153*g + 3855. Is x(21) a multiple of 5? False Let m = 392 - 394. Is ((-123)/m)/(25/300) a multiple of 41? True Suppose w + 5*n - 55 = 0, -2*w + 3*n = -4*w + 117. Let f(l) = -54*l - 147. Let p be f(-5). Let s = p - w. Is s a multiple of 13? False Suppose -2*p + 6 = -5*y - 16, -4*p = 3*y + 8. Let h(a) be the first derivative of 35*a**4/4 - a**3/3 - a**2 + 2*a - 138. Does 5 divide h(p)? False Suppose 0 = -m - 5*q - 19, 2*m + 9 = -2*q - 5. Let z(o) = o**2 + 2*o - 5. Let i be z(m). Suppose -2*f = 4*s - 84, -i*s = -2*f + 89 + 30. Is 10 a factor of f? False Let b(a) be the third derivative of a**6/120 - a**5/24 + 7*a**4/12 + 17*a**3/3 + 15*a**2. Let n(p) be the first derivative of b(p). Is 20 a factor of n(5)? False Let i = -200 + 205. Suppose -i*w = w - 120. Is w a multiple of 10? True Let u(b) = -20*b - 120. Suppose -20 = 2*w + x, x + 5 - 7 = 0. Is u(w) a multiple of 10? True Is 208175/550 - (-2 - (-18)/4) even? True Let u = -11411 - -11582. Suppose 0*h - 3*h + 2 = 4*o, -3*o - 4 = 5*h. Is 2/(24/u) + h/8 even? True Let f = 34 + -91. Let k = f - -43. Let z(w) = -w**2 - 23*w - 22. Is z(k) a multiple of 26? True Suppose d + 1720 = c, -14*c = -12*c + 2*d - 3420. Suppose c = 24*g + 11*g. Is g a multiple of 49? True Suppose -5*y - 18 = 4*y. Let n be (y - 4*-1)*17/(-17). Is 14*2/(n + 3) a multiple of 4? True Is 10 a factor of 49588/55*5 - 12? False Let i be ((-8)/20*-5)/(8/12). Suppose -3*b + 11*q + 1078 = 15*q, i*b - 2*q = 1090. Is b a multiple of 6? False Suppose -446 - 1498 = 670*i - 697*i. Does 8 divide i? True Let k = 14893 + 690. Is 34 a factor of k? False Let k = -34980 + 97626. Is k a multiple of 19? False Let v = -2029 - -2122. Is v a multiple of 3? True Let t(y) = 9*y - 15. Let n be t(3). Suppose -6*k = n - 48. Suppose 0 = k*a - 2*a - 424. Does 8 divide a? False Suppose 5*p - 2*r = 1238, -4*p + p + 5*r + 720 = 0. Does 5 divide p? True Let y be 20/(-6) + 4 - (-36)/27. Suppose -4187 = -3*d + s, s + y = -3. Is d a multiple of 41? True Suppose 0 = -q - 3*y + 11823, -2*q - 6*y + 23655 = -9*y. Is q a multiple of 27? True Suppose 27327 = a + s, -a + 12573 = -3*s - 14742. Is a a multiple of 108? True Let d(s) = -s**2 - 15*s + 57. Let l be d(-18). Suppose 3*a + 21 = 4*r + 212, 4*r - 151 = -l*a. Is a a multiple of 3? True Let a be 2/4*((-18)/(-3) - -30). Suppose 2*l = 3*o + a, -5*l = 2*o - 7*o - 35. Suppose i - 230 = -8*x + l*x, -2*i = 0. Is 46 a factor of x? True Does 3 divide ((-12 + (-65)/(-5))/(-3))/(2/(-51582))? False Suppose 0 = 21*k - 47 - 121. Does 25 divide (1 + 0 + k)*266/6? False Suppose 88 + 24 = -c. Let s = 76 - c. Is s a multiple of 11? False Suppose 2*u - 66 = 2*a, -3*u + 62 = -4*a - 37. Let m = u + -48. Let v = m + 34. Is 3 a factor of v? False Let b = -987 - -930. Let g(u) = 3*u**2 + u. Let i be g(1). Let l = i - b. Is 23 a factor of l? False Let l = 24686 - 9097. Does 131 divide l? True Let v = 306 - 294. Suppose 257 = 3*x - 2*k, 16*x = v*x + 4*k + 348. Does 27 divide x? False Suppose 0 = -37*g - 23132 + 386509. Does 86 divide g? False Let u = 93 + -78. Suppose 2*h = -u*s + 13*s + 416, -594 = -3*s + 3*h. Is 23 a factor of s? False Let c(i) = 5 - 17*i**2 - 15 + 4*i - 2*i + i**3 + 11. Let b = -26 + 43. Is 35 a factor of c(b)? True Suppose 4*t + 13 - 69 = 0. Let q(p) = -p**2 + 12*p + 34. Let w be q(t). Is 8408/104 - w/(-39) a multiple of 22? False Suppose -2*t + 7*t - 15165 = 0. Suppose -19*b + t = -10*b. Does 35 divide b? False Suppose 0 = -607*f + 604*f + 3549. Suppose -1189*g + f*g = -7920. Is g a multiple of 66? True Let d = -57 + 59. Suppose -3*l + 1928 = d*l - 4*k, 3*l = -k + 1150. Is 13 a factor of l? False Let g(q) = -1408*q + 181. Does 40 divide g(-4)? False Let l(h) = 358*h**2 - 36*h + 40. Does 8 divide l(-6)? True Does 14 divide (0 - -311) + -4 + 15? True Suppose 0 = -3*k + 5*t + 712, -k - 4*t + 93 = -167. Let a = -4 - -6. Suppose -m - 3*g = -3*m + k, g - a = 0. Does 25 divide m? True Let h = 180 + -168. Is 15 a factor of 196*1*(45/h + -2)? False Let a(t) = -352*t + 573. Is a(-5) a multiple of 13? False Let p(b) = -b + 3. Let u be p(3). Suppose f + 220 - 2304 = -4*j, j - 4*f - 538 = u. Is j a multiple of 60? False Let o(a) = 661*a**2 - 98*a + 509. Is o(5) a multiple of 33? False Suppose -44*c + 176857 - 187385 = -349548. Is c a multiple of 6? False Let t = 59 - 63. Let a be (2 + 4)*(0 + t/(-3)). Suppose 11*x = a*x + 429. Does 13 divide x? True Let o(h) = -23*h - 31. Let w be o(-7). Let i = w + 122. Is 19 a factor of i? False Suppose 852107 + 1326388 = 55*c. Is 25 a factor of c? False Let x(p) = p**3 - 4*p**2 - 22*p + 27. Let r be ((-10)/(-4)*24)/((-3)/(-2)). Suppose 4*v - 72 = -r. Is x(v) a multiple of 6? False Let w be ((-114)/(-2))/(-3) - -1. Let s(q) = -q**3 - 17*q**2 + 15*q + 2. Let n be s(w). Let b = n - 6. Does 25 divide b? True Suppose 2*l - 9 = 3*h, h - 13 = -3*l + 5*h. Suppose -4*i = 2*g + i - 116, -l*g + 155 = -2*i. Suppose -4*u + g = -3*y, 5*u - 2*y + 4 = 72. Is 2 a factor of u? True Let g = 54214 - 36792. Is g a multiple of 31? True Does 22 divide ((-5)/(-20) - (-1)/(-4)) + (-10010)/(-91)? True Suppose -11*d = -20012 + 17548. Does 4 divide d? True Let i(t) = -t**3 - 12*t**2 + t - 42. Let h = -338 + 325. Does 3 divide i(h)? True Let z(p) = p**3 - 13*p**2 - 13*p - 9. Let o be z(14). Suppose 11 - o = -3*s. Does 7 divide 35*(s - (4 + -7))? True Suppose 5*u - 599 - 586 = 0. Suppose 0 = -a + 3*s + 3 + 2, -3*a - 5*s + 15 = 0. Suppose -4*k + u = 2*j + 7, -k + 35 = a*j. Is 4 a factor of k? True Let x = -1386 - -3613. Does 7 divide x? False Let d(u) = -u**2. Let b(f) = f**2 - 4. Let k(c) = -b(c) - 2*d(c). Let t be k(-6). Suppose 6*m - t = m. Is m even? True Let m(i) be the first derivative of -i**2/2 - i - 1. Let s be m(-2). Does 36 divide 4/(8/214) + s? True Let n = 1104 - 584. Is 2 a factor of (8 + -4 - 1)*n/30? True Suppose 251703 - 878523 = -93*l. Does 8 divide l? False Let m(q) = 2*q**3 + 34*q**2 - 3*q + 75. Let v be m(-17). Suppose -v*u + 133*u - 3738 = 0. Is u a multiple of 6? True Let n(r) = -2*r**3 + 100*r**2 + 28*r + 241. Does 42 divide n(50)? False Suppose -76*b = -78*b + 7*h + 13329, -2*h - 6654 = -b. Is 16 a factor of b? True Suppose -3*i + 5*i - 13 = r, -3*r - 15 = 0. Suppose 11*u - i*u = 3906. Does 44 divide u? False Let i be 1 - (-3)/(-3) - (5 - -4). Let h(s) be the second derivative of s**4/4 + 8*s**3/3 - 3*s**2 - s. Is h(i) a multiple of 31? True Let u = 109122 + -50146. Is u a multiple of 194? True Suppose -33 = 6*s - 69. Suppose -s*d + 812 = -6172. Is d a multiple of 12? True Suppose -220 = f - y + 5*y, -2*f - 443 = 5*y. Let k = -35 - f. Suppose -k = 2*i - 5*i. Is i a multiple of 9? True Let k be 6/(-5)*((-84)/(-18) + -8). Does 9 divide (1119 - -1) + (k - -1)? True Suppose -f = 3*i + 2, 2*f + 4*i = -0*f. Is 20 a factor of (-160)/(-120)*2298/f? False Suppose 0 = 4*k - 1148 + 1180. Is (k/(-2))/(-3 + (-715)/(-238)) a multiple of 56? True Is ((-4)/(-1) + -5)/(3/(-330138)*6) a multiple of 137? False Let o(s) = 12*s**2 - 16*s + 32. Suppose -21*x + 15*x = -12. Does 4 divide o(x)? True Let i(s) = 2*s**2 + 34*s + 631. Is i(29) a multiple of 29? Fal
{ "pile_set_name": "DM Mathematics" }
et j(p) = -p**2 + 6*p + 4. Give b*j(d) - 2*k(d). d**2 + 4*d + 2 Let h(i) = -i - 4. Let f be h(-6). Suppose -2515*o + 2*a = -2512*o + 1, 0 = 2*o + 4*a + 6. Let n(p) = -p + 1. Let b(d) = -3*d - 5. Give f*n(t) + o*b(t). t + 7 Let u(i) = -2369*i**3 + 4*i**2 - 2*i - 2. Let z(v) = -14213*v**3 + 26*v**2 - 13*v - 13. Determine -13*u(s) + 2*z(s). 2371*s**3 Let x(s) = 6 + 7*s**3 + 6*s + s**3 - 7*s**2 + 6*s**3 + s**2. Let v = 384 - 390. Let r(f) = -14*f**3 + 5*f**2 - 5*f - 5. Determine v*r(l) - 5*x(l). 14*l**3 Let u(r) = -r**2. Let d = 719 - 721. Let c(t) = -4*t**2 - 2*t - 1. Determine d*u(x) + c(x). -2*x**2 - 2*x - 1 Let i(x) = 3*x**3 - x**2 - 404*x - 2. Let d(n) = -2*n**3 + 13*n - 1. What is 2*d(u) - i(u)? -7*u**3 + u**2 + 430*u Let c(n) = -n - n + 3*n - 39 + 38. Let z(o) = 2*o - 6. Let y be (-32)/40*(-4 + -1). Suppose 4*x - 19 = -h, 0*h + x = -h + y. What is h*z(q) + 6*c(q)? 4*q Suppose -p + 6*p = 5. Let m be 1 - 1 - (-3 - p). Let r(c) be the third derivative of c**4/8 + 2*c**3/3 - 1988*c**2 + 1. Let i(x) = -1. Determine m*i(u) + r(u). 3*u Let c(s) = -4*s + 2. Let w = -5 + 1. Let a(v) be the third derivative of 11*v**4/24 - 7*v**3/6 - 18*v**2 + 138*v - 2. What is w*a(g) - 14*c(g)? 12*g Let u(x) = 25*x + 415. Let w(q) = 8*q + 156. Let o(r) = -3*u(r) + 8*w(r). Let l = 76 + -71. Let n(a) = -6*a + 2. Determine l*n(y) - 3*o(y). 3*y + 1 Let r(x) = 2053 - 4120 + 2068. Let z(w) = -2*w + 14. Give 5*r(o) + z(o). -2*o + 19 Suppose 3*x + 0*x - 3*i = 0, -3*x - 4 = -4*i. Let j(v) = 3*v - 3. Let b(h) be the third derivative of h**4/12 - h**3/3 - 3475*h**2. Give x*b(u) - 3*j(u). -u + 1 Let z(t) = t**2 + 4*t + 3. Let d be z(-2). Let q(j) be the first derivative of 3*j**2 + 6*j - 1230. Let y(g) = -g - 1. Determine d*q(u) - 4*y(u). -2*u - 2 Let s(g) = -29*g**2 + 10*g - 21129. Let a(d) = 3*d**2 - d + 6. What is 10*a(z) + s(z)? z**2 - 21069 Let a(o) = -1754*o**2 + 9*o + 20. Let s(i) = -878*i**2 + 4*i + 9. Determine -4*a(d) + 9*s(d). -886*d**2 + 1 Let u(w) = 9*w - 2. Let k(d) be the third derivative of -7*d**4/24 - 5*d**3/6 - 9*d**2. Let l(f) = f + 2. Let h(a) = -k(a) - 3*l(a). What is 5*h(i) - 2*u(i)? 2*i - 1 Let g(i) = -3424*i + 4. Let a(y) = -4564*y + 5. Give -7*a(q) + 9*g(q). 1132*q + 1 Let x(q) = -3*q + 6. Let n = 83 + -89. Let w(k) = 3*k - 5. What is n*x(p) - 7*w(p)? -3*p - 1 Let z = 171 + -163. Let p be (z - -2)*15/(-25). Let v(d) = -2*d**3 - 6*d**2 - 3*d. Let m(t) = 2*t**3 + 5*t**2 + 3*t. Calculate p*m(s) - 5*v(s). -2*s**3 - 3*s Let t(x) = -8*x**3 - 5*x**2 - 7*x - 37. Let r(b) = -9*b**3 - 5*b**2 - 6*b - 44. What is -5*r(o) + 6*t(o)? -3*o**3 - 5*o**2 - 12*o - 2 Let f(q) = 13 - 19*q - 33 + 10*q + 15 + 12. Let t(b) = -b + 3. Let u(h) = h - 2. Let g(m) = 6*t(m) + 11*u(m). Give -3*f(s) - 5*g(s). 2*s - 1 Let k(t) = -7. Let r(c) = 6*c**2 + 94*c - 130. Let x be r(-17). Let z(b) = b**3 + 6. Determine x*k(a) + 7*z(a). 7*a**3 Let j(d) = 2*d**2 + 4*d + 4. Let y be (-15)/(-6)*56/(-20). Let m(z) = -3*z + z**2 - 5*z - 4*z**2 - 7. Determine y*j(n) - 4*m(n). -2*n**2 + 4*n Let b(q) = -27*q - 169. Let j be b(-7). Suppose -6*c + 16 = -j. Let k(i) = 36*i**2 + 22*i + 22. Let d(p) = -5*p**2 - 3*p - 3. Give c*k(o) + 44*d(o). -4*o**2 Suppose -87*x - 11*x - 687 = 857 - 172. Let f(i) = 4*i**3 - 2*i**2 + 2*i + 2. Let t(a) = -13*a**3 + 7*a**2 - 7*a - 7. Let g = 1 + -5. Calculate g*t(k) + x*f(k). -4*k**3 Let d(g) = -g**2 - 5*g + 5. Suppose 13*t - 10*t = -z + 8, 2*t + 4*z = 2. Let n = -42 - -37. Let y(p) = -3*p + 3. Determine n*y(c) + t*d(c). -3*c**2 Let l(p) = -p**3 - 4*p**2 + p - 1. Let f(h) = 1463*h**3 - 28*h**2 + 9*h - 7. Calculate -f(o) + 7*l(o). -1470*o**3 - 2*o Let k(o) = 4*o**2 - 5*o + 2. Suppose -12*v + 34*v = 44. Let g(y) = 3580*y**2 + v - 3*y - 3571*y**2 + 2 - 10*y + 2*y. Determine -6*g(i) + 13*k(i). -2*i**2 + i + 2 Let x(v) = -v**3 + v**2. Let z(c) = -5*c**3 + 4*c**2 - 3*c. Suppose -6*g - 1104 = -4*g - 2*s, 2*g = 4*s - 1110. Let h = -550 - g. What is h*z(w) + 4*x(w)? w**3 + 3*w Let o(w) = w**2 + 1. Let r(u) = -8*u**2 + 3453 - 4*u + 6*u - 4*u - 3450. What is -3*o(t) + r(t)? -11*t**2 - 2*t Let u(v) = 2*v - 6*v - 4*v - v. Let a(z) = -46*z - 4. Let k(f) = -146*f - 13. Let j(d) = 26*a(d) - 8*k(d). Give -2*j(m) + 7*u(m). -7*m Let g(c) = 11*c - 1412. Let x(d) = -2*d - 14. Calculate -g(z) - 5*x(z). -z + 1482 Let x(j) = j**3 + 3*j**2 + j - 2. Let m(c) = -2*c**3 - 5*c**2 - 2*c + 4. Suppose 2 + 12 = -7*g - 21. Calculate g*x(z) - 3*m(z). z**3 + z - 2 Let v(a) = -10*a - 7*a - 1 - 4*a**2 + 7*a. Let h(i) = 0*i - 77*i**2 + 146*i**2 - 70*i**2 - 3*i. Determine -7*h(u) + 2*v(u). -u**2 + u - 2 Let u(d) = -2*d**2 + 4*d + 10. Let w(p) = 2*p**2 - 5*p - 11. Suppose 153 = 173*v - 849 + 137. Calculate v*u(b) + 4*w(b). -2*b**2 + 6 Let z(u) = 9*u + 27. Let t(k) = 5*k + 14. Let n be (-12)/5*((-1)/(-9) + 4459/(-3276)). What is n*z(x) - 5*t(x)? 2*x + 11 Let u(h) = -15*h**2 - 3. Let w(m) = 55*m**2 + 135*m + 14. Let a(o) = -27*o**2 - 81*o - 7. Let f(c) = -5*a(c) - 3*w(c). What is -6*f(n) + 14*u(n)? -30*n**2 Let k(x) = 91*x + 8813. Let f(s) = -106*s - 8813. Calculate 6*f(a) + 7*k(a). a + 8813 Let r(c) = 108*c - 17. Let y(o) = -328*o + 47. Calculate -10*r(l) - 3*y(l). -96*l + 29 Let k(o) = 17*o**2 - 75*o + 6. Suppose -5*h - 105 = 2*q - 75, h - 36 = 8*q. Let g(r) = 6*r**2 - 25*r + 2. Give h*k(y) + 11*g(y). -2*y**2 + 25*y - 2 Suppose -w - 10 + 5 = 0. Let d be 12/(-10)*w/2. Let s(b) = 8 + 0 + 4*b**3 - 10 - 3*b**d. Let k(c) = -6*c**3 + 15. Give -2*k(i) - 15*s(i). -3*i**3 Let o(l) = 4*l - 3. Let s(w) = w + 3. Let u(a) = 7*a + 18. Let i(p) = 37*s(p) - 6*u(p). Determine 3*i(v) + 2*o(v). -7*v + 3 Let t(x) = 113*x**2 - 10*x - 1. Let o(i) = 98*i**2 - 9*i. What is 4*o(l) - 3*t(l)? 53*l**2 - 6*l + 3 Let l(t) be the first derivative of 205*t**4 - 55*t**3/3 + 55*t**2/2 - 55*t - 260. Let g(n) = -91*n**3 + 6*n**2 - 6*n + 6. Give -55*g(j) - 6*l(j). 85*j**3 Suppose -32*p + 96 = -80*p. Let q be (-62)/(-6) - (-1)/(-3). Let n(u) = u**2 - 5*u. Let r(f) = -f. Calculate p*n(k) + q*r(k). -2*k**2 Let f(g) = g**3 + 1. Let w(q) = -4*q**3 - 6. Let r(b) = -5*f(b) - w(b). Let p = 65145 - 65144. Let u(a) = -6*a**3 - 2*a**2 + 4. What is p*u(d) - 3*r(d)? -3*d**3 - 2*d**2 + 1 Suppose -48*n + 115 = 19. Let o(p) = 3*p**2 - 4. Let m(a) = -a**3 + 5*a**2 + 6*a + 8. Let l be m(6). Let h(b) = 5 - l + b**2 + 1. Calculate n*o(i) - 5*h(i). i**2 + 2 Let a(m) = -10881*m**3 + 273*m**2. Let l(x) = 86*x**3 + 16*x**2 - 6. Let r(u) = 88*u**3 + 22*u**2 - 8. Let n(o) = -4*l(o) + 3*r(o). What is 2*a(b) - 273*n(b)? 78*b**3 Let v(t) = 5*t - 41. Let w(m) = -6*m**3 - 2*m**2 + 1. Let u be w(1). Let k = 30 - u. Let g(r) = -39*r + 75*r + 8 - k*r. Determine -11*g(q) - 2*v(q). q - 6 Let k(d) = -d**2 - 7*d. Let p(u) = 2043*u**3 - 6*u**2 - 42*u. Calculate -6*k(n) + p(n). 2043*n**3 Let z(r) = 167*r**3 + 8*r**2 + 8. Let k(y) = -6*y**2 + y**2 - 60*y**3 + 57 - 62 - 51*y**3. Calculate 8*k(q) + 5*z(q). -53*q**3 Let p(a) = -42*a**3 + 241*a**2 + 3*a + 3. Let x(s) = -210*s**3 + 1176*s**2 + 14*s + 14. Determine 14*p(d) - 3*x(d). 42*d**3 - 154*d**2 Let q(c) be the second derivative of c**3/6 - 5*c**2/2 + c. Let n = 270 + -201. Suppose 5*d - 9 + n = 0. Let k(p) = 3*p - 12. What is d*q(b) + 5*k(b)? 3*b Let y(d) = d - 8. Let a(g) = 2. Let u be (-5)/4 - ((-5)/4 - -1). Let s be u/5 + 11/5 + -52. Let z = s + 41. Give z*a(f) - 2*y(f). -2*f - 2 Suppose 4*x + 2*n = 26, -3*n - 44 = -47. Let o(i) = -i**3 - 1. Let y(z) = -19*z**3 + 2*z + 6. What is x*o(r) + y(r)? -25*r**3 + 2*r Let z(w) = 9502*w**3 + 4*w**2 + 4*w + 24. Let s(i) = -101576380*i**3 - 42759*i**2 - 42759*i - 256554. Give -4*s(p) - 42759*z(p). 9502*p**3 Let a(w) = w**3 - 4*w - 116. Let n(r) = -r**2 - 3*r - 1. Calculate -a(x) + 2*n(x). -x**3 - 2*x**2 - 2*x + 114 Let n(s) = 67 - 4*s**2 - 125 + 57 + 5*s**2 + s. Let h(x) = -2*x**3 - 5*x**2 + 4*x + 5. Give -h(d) - 5*n(d). 2*d**3 - 9*d Let q(n) = 3*n**2 + n + 35. Let c(h) = 2*h**2 + 23. Determine 5*c(z) - 4*q(z). -2*z**2 - 4*z - 25 Let o(m) = -10*m**2 - 2*m. Suppose -5*a + 52 = 4*g, -4*g + 3*g - 4*a + 13 = 0. Let n(u) = 25 + g*u + 50*u**2 - 2*u + 25 - 50. What is 2*n(s) + 11*o(s)? -10*s**2 Let a(g) = -65*g + 111. Let q(b) = -243*b + 444. What is -15*a(z) + 4*q(z)? 3*z + 111 Let q(u) = -4*u**3 + 3*u**2 + 3*u - 2. Let d = 5324 - 5330. Let s(l) = 25*l**3 - 17*l**2 - 17*l + 11. Determine d*s(c) - 34
{ "pile_set_name": "DM Mathematics" }
d give i. 0 Rearrange (2*i + i - 13*i)*(-5*i - 6*i + 5*i) to c + l*i + y*i**2 and give y. 60 Express (60 - 109 + 47 + 3*w + 33*w**2)*(-w - 10*w - 11*w) in the form m*w**2 + s*w**3 + t*w + p and give s. -726 Rearrange (189 - 189 - 4*j**2)*(-3 + 3 - j)*(-5*j + 6*j + 2 + 2*j) to z*j**2 + p*j**4 + s + q*j**3 + x*j and give q. 8 Express 2*j**3 + 5 - 4*j**3 - 3 - j - 6 + 3*j**4 as y*j**3 + x*j**2 + f*j**4 + u + p*j and give y. -2 Express (-12*g + 4*g - 6*g + 1 - 3)*(12*g - 6*g - 26*g) in the form l*g**2 + m + r*g and give r. 40 Express 4*u**2 + 4*u**2 - 3230*u - 2*u**3 + 2 - 3*u**4 + 3229*u as t + z*u**4 + b*u + c*u**3 + k*u**2 and give c. -2 Express 5243*u + 14*u**3 + 3 - 2*u**2 - 3 - 5242*u in the form b*u + s + o*u**2 + r*u**3 and give o. -2 Rearrange -4 - 363*a**3 + 2*a**4 + a + 364*a**3 + a**2 + 1 + 5 to the form v*a + s*a**2 + n*a**4 + x + b*a**3 and give v. 1 Rearrange (3*w**2 + 3*w**2 - 7*w**2 + (-3*w - 4*w + 5*w)*(47 - 47 + 5*w))*(-3*w + 5*w - 5*w) to the form z + q*w**3 + v*w + a*w**2 and give q. 33 Rearrange -6*v**3 + 40*v**4 + 8*v**3 - 1 + 0 - 3*v**3 - v**2 to the form l*v**2 + y + i*v**3 + o*v**4 + s*v and give o. 40 Express 17558*m + 852*m**2 - 17558*m as h*m + s*m**2 + n and give s. 852 Rearrange -309 + z + 309 - 63*z**2 to g*z + w + o*z**2 and give g. 1 Express -1 + 3 + 48272*d**2 - d - 48155*d**2 as q*d + u*d**2 + t and give q. -1 Rearrange (-3*q**2 + 3*q**2 + q**3)*(1 - 2 + 2) + q**3 - 6*q**3 + q**3 + (-q**2 + 5*q**2 - q**2)*(-4 + 4 - 2*q) to p*q**2 + b*q + c + s*q**3 and give s. -9 Express (4 - 2 + 4)*((2*a**2 + 0 + 0)*(2 - 7 + 2) + 2*a - 2*a**2 - 2*a - 7 - a**2 + 7 + (-2 + 2 + a)*(-2*a - a + 0*a)) as k + n*a + u*a**2 and give u. -72 Rearrange -o - 12 + 54*o**2 + 5 + o**3 - 54*o**2 to b*o**3 + j + q*o + w*o**2 and give j. -7 Express -4 + 14361*k - 14542*k + 5 + 1 in the form h*k + u and give u. 2 Rearrange 0*i**2 + 3*i**2 - i**2 - i + 3*i**2 - i + i + (0 + 0 - 2)*(i - i + 2*i**2) + 1 + 9*i**2 - 1 to the form p + m*i + f*i**2 and give m. -1 Rearrange -54*f**3 + 3*f**4 - 5*f**4 - 72*f**3 + 6133*f**2 - 6134*f**2 to o*f**4 + w*f**2 + p*f + g*f**3 + d and give w. -1 Rearrange (-950 - 7*m + 0*m + 6*m)*(-4 + 4 - m**2) to the form u*m**2 + c + s*m + n*m**3 and give u. 950 Rearrange 111*s - 5*s**4 - 111*s + 3 + s**3 to the form z*s + c*s**2 + x + i*s**3 + y*s**4 and give z. 0 Express 2*k - 145 + 145 - k**3 + 17*k**2 as t*k + m + s*k**2 + b*k**3 and give t. 2 Rearrange (-80 + 130 - 65 + 1 + 4 - 4 + (1 + 1 - 3)*(-2 - 3 + 3) - 2 - 1 + 4 + 2 - 2 + 1)*(-14*w + 2*w + 3*w) to the form y*w + h and give y. 90 Rearrange -189*j**2 + 96*j**2 + 90*j**2 - 2*j to o*j + l + q*j**2 and give o. -2 Rearrange (-5*p**2 + 5*p**2 + 2*p**3 + 1)*(-387*p - 29257 + 29257) to the form s + q*p + k*p**4 + m*p**2 + a*p**3 and give q. -387 Rearrange -2*r**4 - 14*r**2 + 0*r**3 - 15*r**2 + 10*r**3 + 2*r + 52*r**2 - 14*r**2 to the form s*r + i*r**4 + x + t*r**2 + f*r**3 and give i. -2 Express -20429 - 181*g**2 + 20429 as k*g + q*g**2 + z and give q. -181 Rearrange 15*a + 3 - 32*a + 6*a**3 + 18*a + 8*a**2 to the form s*a**3 + c + p*a**2 + f*a and give p. 8 Rearrange -3*j**3 + 2*j**3 - 22*j**2 + 48*j**2 + 3*j to the form x*j**2 + i*j**3 + m + l*j and give i. -1 Express -9 - 4*h - 6 + 12 + 28 + 11 in the form g*h + l and give g. -4 Rearrange 3 + 2 - 10 + 1 - 21*b to the form u*b + f and give f. -4 Express 2*k**3 - 20 + 3*k**2 - 26 - 8*k**3 - 7*k + 48 in the form p*k**3 + i + w*k + q*k**2 and give w. -7 Express (3 - 2 + 0)*(2 - 2*x - 2)*(178*x - 96*x + 162*x) as g*x**2 + y + h*x and give g. -488 Rearrange (-1 - r**4 + 6*r**4 + 3)*(8 - 13 - 14) to i*r + j + y*r**2 + m*r**3 + o*r**4 and give o. -95 Rearrange -4*v + 2*v + v + (0*v + 2*v + 8*v)*(35 + 7 - 13) to the form g + k*v and give k. 289 Rearrange ((0 - 2 + 0)*(-3 + 4 + 0) + 6 - 8 - 46)*(-3*u**2 + u**2 + 4*u**2) to the form n*u**2 + b*u + a and give n. -100 Rearrange -2 + 0 + 33*d + 140*d + 123*d to the form a + v*d and give a. -2 Express (12*i - 7*i + 3*i)*(-6*i**2 + 15 - 15) as t*i**3 + y*i + n*i**2 + l and give t. -48 Rearrange 4*y**2 + y**2 - y**2 + y - 3*y**4 + y to z*y**4 + i*y**2 + s + k*y**3 + x*y and give z. -3 Express (2 - 2 - k)*(247 - 247 - 21*k**2)*(1 + 0 - 7) in the form f*k + t*k**2 + n*k**3 + l and give f. 0 Express (k**2 - k**2 - 2*k**2)*(-1230 + 410 - 201 - 603 + (-2 - 4 + 4)*(2 + 0 - 5)) as o*k**2 + l + r*k and give o. 3236 Express -p**3 + 69*p**4 - 29*p**4 + 12*p + 15 - 6 - 42*p**4 in the form m*p**4 + n*p + x*p**2 + g*p**3 + c and give c. 9 Rearrange -3*p - 3*p + 4*p + (0 + 2 - 1)*(-3*p + 0*p + p) + 1 - p - 1 + 98*p - 158*p - 357*p to l + d*p and give d. -422 Express (3 - 1 + 1)*(4 - 7 - 5)*(10 - 5 - 17*r**2 + 19*r**2) as h*r + p + q*r**2 and give p. -120 Express 962*m + 19*m**2 + 1031*m - 5*m**2 - 16*m**2 - 494*m in the form g*m**2 + k*m + u and give g. -2 Express (-2*w**2 + w**2 + 2*w**2)*((-w - w + 4*w)*(7*w - 3*w - 2*w) + (-7127 - 24*w + 7127)*(3*w + 4*w - 2*w)) as v*w + c*w**2 + q + z*w**4 + p*w**3 and give z. -116 Rearrange (-3 + 1 + 3)*(t**2 - 2*t**4 - t**2) + (50*t**3 - 82*t**3 - 331*t**3)*(-5*t + t + 0*t) to q*t**2 + v*t**3 + x + h*t**4 + y*t and give h. 1450 Rearrange (4*l**2 - 5*l**2 + 8*l**2)*(8 + 1 + 2 + (1 + 1 - 3)*(0 + 0 - 2))*(4 - 4 - l**2) to the form z*l**2 + i*l + v*l**3 + s + q*l**4 and give q. -91 Rearrange (-1 + 4*s - 5*s - 1)*(-27*s**2 - 88*s + 88*s)*(-3 + 2 + 0) to the form c*s**2 + o*s + f + v*s**3 and give v. -27 Rearrange 2*g + g - 28*g**3 + 2*g - 2*g to c*g**2 + r*g**3 + o*g + a and give r. -28 Rearrange -20*s + 11*s - 12 + 74*s - 2*s**2 + 12 to the form l + i*s + g*s**2 and give g. -2 Express -932274 - 94*f + 932274 as p + m*f and give p. 0 Express (46*d - 38*d + 69*d)*(-6 - 4 + 3 + 7 - 71*d) as n + a*d + x*d**2 and give x. -5467 Rearrange -2*w**4 + 0*w**3 - 67757*w + 67758*w - w**2 - 11*w**3 to the form q*w + g + t*w**4 + d*w**2 + h*w**3 and give h. -11 Express (-3 + 4 - 4)*(36*a**2 - 58*a**2 - 73*a**2) as o + k*a + q*a**2 and give q. 285 Express 790*j + 24 - 32 + 8 - 2720*j as u + l*j and give l. -1930 Rearrange -77*y**2 + 78*y**2 + 5 + 2*y**3 - 4*y**3 to the form j*y + x*y**2 + n*y**3 + t and give x. 1 Rearrange 4*n - 92*n - 27*n - 119*n to the form o + f*n and give f. -234 Express 0*i**3 - i**3 + 2*i**3 + (6 - 4*i**2 - 6)*(-3 + 1 + 0)*(-8*i + 44*i - 10*i) as w*i**3 + r*i + j*i**2 + n and give w. 209 Express -8*f**3 - 1175*f - 4*f**2 + 1175*f - 3*f**2 - f**4 as n*f**2 + q*f + h + b*f**4 + t*f**3 and give t. -8 Rearrange (5 - n - 5)*(1914 - 4291 + 1537) to the form u + r*n and give r. 840 Rearrange 1001*a**2 + 996*a**2 - 1985*a**2 + 28*a to d*a + i*a**2 + y and give i. 12 Rearrange (2*q + 2*q - 6*q)*(-795 - 845 + 141 - 377) to z + g*q and give g. 3752 Rearrange -322*a + 3 + 4*a**4 - 3*a**3 + 0*a**4 + 323*a to d*a**4 + c*a**3 + l + o*a**2 + q*a and give q. 1 Rearrange 24*b**2 + 19*b**2 - 812*b + 814*b - 344*b**2 to r*b**2 + v*b + u and give v. 2 Rearrange -170 - 116 + 349 - 2*i to q*i + r and give q. -2 Rearrange (148*l + 16*l - 42*l)*(3 - 2 + 1)*(5*l + 0*l - 3*l) + (-2*l + 0*l + l)*(-4 - l + 4) + 2*l**2 - 3*l**2 - l**2 to the form g*l**2 + h*l + w and give g. 487 Rearrange (2*z + 4*z + 4 - 4*z)*(-2 + 5 - 15) - 2 + 7*z + 2 to a + i*z and give i. -17 Rearrange 71*g + 6*g**3 + 0*g**3 - 2*g**3 - 3*g to z + m*g**3 + y*g**2 + j*g and give m. 4 Rearrange -21633 + 567*c + 21633 to k*c + t and give k. 567 Rearrange 1 + 52*i**3 - 3*i**2 - 56*i - 45*i**3 + 56*i to w*i**3 + a*i + s*i**2 + c and give w. 7 Express 9 - 9 - 3*v - 75*v - 80*v + 153*v + 4*v - 2*v + 0*v + (0*v + 2*v - 5*v)*(1 + 3 - 2) in the form t*v + f and give t. -9 Rearrange 2*f + 8 - 27 + 13 + 56*f**2 + 7 to r + i*f + u*f**2 and give r. 1 Express -72 + 116 - 55 + 19*m**2 in the form g*m + s*m**2 + d and give s. 19 Rearrange (2*i + i - 9*i)*(664 + 2*i**2 - 664) to k*i**3 + z + l*i + r*i**2 and give k. -12 Express -180*k - 1834*k - 151*k + 256*k in the form i + b*k and give b. -1909 Rearrange (4*m - 4*m + m)*(-2 - 1 + 4)*(61 - 14 + 47)*(-1 + 1 + 1) - 21 + m + 21 to the form r + o*m and give o. 95 Rearrange (28*q + 0*q + 40*q)*(-1 + 1 + 1) - 2*q + q + 0*q + (0 + 0 - 4*q)*(0 + 2 + 0) to s + p*q and give p. 59 Rearrange (-119 - 24*r + 234 - 110)*(-3*r + r + 7*r) - 2*r + 2*r - r**2 + (3 - r - 3)*(0*r + 4*r - 3*r) to the fo
{ "pile_set_name": "DM Mathematics" }
.2915 to one decimal place. 31.3 What is -104.7512 rounded to 1 dp? -104.8 What is 0.001194784 rounded to two dps? 0 Round 0.00103372 to 3 decimal places. 0.001 Round 47134.915 to the nearest 100. 47100 Round 2433.97 to the nearest ten. 2430 Round -0.025259812 to 3 decimal places. -0.025 Round 79.04125 to the nearest ten. 80 What is -0.0004229349 rounded to seven decimal places? -0.0004229 Round -16287.337 to the nearest 10. -16290 Round -0.1078824 to 2 decimal places. -0.11 What is -0.756705 rounded to 1 decimal place? -0.8 What is -7312.39 rounded to the nearest one hundred? -7300 What is 7729780 rounded to the nearest one million? 8000000 Round -0.19186504 to five dps. -0.19187 What is -23.07712 rounded to one decimal place? -23.1 Round -22459.058 to zero decimal places. -22459 Round 0.001643397 to two decimal places. 0 What is -1281.7463 rounded to the nearest ten? -1280 What is 0.7887768 rounded to two dps? 0.79 Round -20405092 to the nearest one hundred thousand. -20400000 Round 0.4602644 to two dps. 0.46 Round -157722.82 to the nearest 10000. -160000 What is -11.95915 rounded to 2 decimal places? -11.96 What is 6.702439 rounded to one dp? 6.7 Round 94418.5 to the nearest one thousand. 94000 What is 233545.9 rounded to the nearest 100000? 200000 What is -0.0000026589 rounded to six decimal places? -0.000003 Round 85.91393 to the nearest 10. 90 What is 12661.48 rounded to the nearest 1000? 13000 What is 3607.86 rounded to the nearest 10? 3610 Round 0.000017742234 to seven decimal places. 0.0000177 Round -3.000827 to two dps. -3 What is -1530.32 rounded to the nearest 100? -1500 What is 0.0001001337 rounded to 5 dps? 0.0001 Round -5168870 to the nearest 1000000. -5000000 Round -0.0014095591 to three decimal places. -0.001 Round -0.0595826 to two decimal places. -0.06 What is 0.0000899453 rounded to 7 dps? 0.0000899 What is -2586.78 rounded to the nearest ten? -2590 Round 0.003179151 to four decimal places. 0.0032 Round 378031700 to the nearest one hundred thousand. 378000000 What is 0.001361 rounded to 3 decimal places? 0.001 What is 24.50959 rounded to 0 dps? 25 What is 2047719000 rounded to the nearest one million? 2048000000 Round 1162158100 to the nearest 1000000. 1162000000 Round -0.160568 to three decimal places. -0.161 Round 2778791.5 to the nearest one million. 3000000 What is -2.309033 rounded to two decimal places? -2.31 What is 0.004782048 rounded to 3 dps? 0.005 Round -8.35964 to 2 decimal places. -8.36 What is 0.326235 rounded to two dps? 0.33 What is -2.8151667 rounded to three dps? -2.815 Round -0.00003108033 to five decimal places. -0.00003 What is -6.01464 rounded to 1 decimal place? -6 Round 49.0993 to one decimal place. 49.1 Round 0.00095706 to 4 decimal places. 0.001 What is -0.000182133 rounded to six dps? -0.000182 Round -1.510302 to 2 dps. -1.51 Round 0.000000487347 to 7 dps. 0.0000005 Round 0.0000029703 to 7 dps. 0.000003 What is 0.0068330096 rounded to 3 decimal places? 0.007 What is -1578134.2 rounded to the nearest one thousand? -1578000 Round -0.0156184 to 4 dps. -0.0156 What is 0.0001017839 rounded to five dps? 0.0001 What is 59808.44 rounded to the nearest 100? 59800 Round -0.0083442031 to four decimal places. -0.0083 Round -40386.3 to the nearest one thousand. -40000 What is 52933600 rounded to the nearest 100000? 52900000 What is 0.031212989 rounded to five dps? 0.03121 What is -1697456 rounded to the nearest one thousand? -1697000 What is 0.0000537372 rounded to five dps? 0.00005 What is 0.00771798 rounded to three dps? 0.008 Round 2190810 to the nearest one hundred thousand. 2200000 What is -253704.3 rounded to the nearest ten thousand? -250000 Round -0.003072 to 5 dps. -0.00307 Round 29851400 to the nearest one million. 30000000 What is 1.1215788 rounded to two decimal places? 1.12 What is 0.814015 rounded to three dps? 0.814 What is 5.07071 rounded to 2 dps? 5.07 Round -0.000000810262 to seven decimal places. -0.0000008 What is -0.0000181582 rounded to six decimal places? -0.000018 Round 0.0513185 to two decimal places. 0.05 Round 0.003208954 to four dps. 0.0032 What is 308790 rounded to the nearest one hundred thousand? 300000 Round -0.001905956 to 6 decimal places. -0.001906 Round -3.194628 to one decimal place. -3.2 What is 28.9085 rounded to the nearest ten? 30 What is 28556.9 rounded to the nearest ten? 28560 What is 1815.7345 rounded to the nearest ten? 1820 Round 0.0000036477 to five dps. 0 What is -99.8977 rounded to one decimal place? -99.9 What is 0.0000215876 rounded to six decimal places? 0.000022 What is -0.0007310125 rounded to 4 dps? -0.0007 Round -312.862 to zero decimal places. -313 Round 88231.67 to the nearest 10000. 90000 What is -0.49339 rounded to 1 dp? -0.5 What is -0.00407046 rounded to 3 dps? -0.004 Round 1591136.3 to the nearest 100000. 1600000 Round -21947500 to the nearest one million. -22000000 What is 10320 rounded to the nearest 10000? 10000 What is 30.99867 rounded to one dp? 31 Round 3354.54 to the nearest integer. 3355 What is 0.000530431 rounded to six decimal places? 0.00053 Round -67647080 to the nearest ten thousand. -67650000 Round 0.03339382 to 5 decimal places. 0.03339 What is 0.0043900942 rounded to five dps? 0.00439 What is -0.000085652057 rounded to 5 dps? -0.00009 Round -10.63695 to two decimal places. -10.64 Round -1233.411 to the nearest ten. -1230 Round -19377600 to the nearest 100000. -19400000 What is -1465.11 rounded to the nearest ten? -1470 What is -0.0042757097 rounded to 4 dps? -0.0043 Round -47452400 to the nearest one hundred thousand. -47500000 Round 2341676.3 to the nearest one hundred thousand. 2300000 Round 97205.24 to the nearest one thousand. 97000 What is -0.000095789 rounded to 4 decimal places? -0.0001 Round -0.0156573 to 3 decimal places. -0.016 What is -0.0001115423 rounded to six dps? -0.000112 Round 422554.4 to the nearest one hundred. 422600 Round 11268.53 to the nearest 1000. 11000 What is 0.00037625803 rounded to 7 dps? 0.0003763 What is -0.000083997659 rounded to seven decimal places? -0.000084 What is -450307.4 rounded to the nearest 1000? -450000 Round -496.23 to the nearest one hundred. -500 What is -0.00024583 rounded to five dps? -0.00025 What is -1049.3 rounded to the nearest 100? -1000 What is -0.0001885226 rounded to 5 dps? -0.00019 What is 207269000 rounded to the nearest 1000000? 207000000 Round 0.000801794 to 5 dps. 0.0008 Round 0.05366596 to five dps. 0.05367 What is 149672300 rounded to the nearest one hundred thousand? 149700000 Round -11.23662 to the nearest integer. -11 Round -4043.4894 to zero decimal places. -4043 What is 0.0002231912 rounded to 4 dps? 0.0002 Round -14742.65 to the nearest one thousand. -15000 Round 37269.09 to the nearest 10000. 40000 Round -681779 to the nearest 100000. -700000 Round -64771.8 to the nearest 100. -64800 Round -0.01800235 to three decimal places. -0.018 What is -40840972 rounded to the nearest ten thousand? -40840000 Round -0.00034907031 to six dps. -0.000349 Round -164870.75 to the nearest 10000. -160000 What is 40186.8 rounded to the nearest 10000? 40000 Round 0.000515121 to five decimal places. 0.00052 Round -0.0078688 to 3 decimal places. -0.008 What is -0.00001985998 rounded to 7 dps? -0.0000199 Round -0.620486 to three dps. -0.62 Round 1269.7622 to the nearest 100. 1300 What is 0.00003417316 rounded to six dps? 0.000034 What is 0.0458145 rounded to 2 decimal places? 0.05 What is 121775860 rounded to the nearest one hundred thousand? 121800000 Round 0.00034031 to 6 decimal places. 0.00034 Round 26.848499 to one dp. 26.8 Round 4241.01 to the nearest 1000. 4000 What is 0.00196899 rounded to four decimal places? 0.002 Round -0.0001209416 to 7 decimal places. -0.0001209 Round -1.537827 to two decimal places. -1.54 Round -23.67736 to zero dps. -24 What is 0.0000005127743 rounded to 7 decimal places? 0.0000005 Round 76229600 to the nearest one million. 76000000 Round -13.6614 to the nearest 10. -10 What is 5575139 rounded to the nearest 1000? 5575000 What is -9437716000 rounded to the nearest 1000000? -9438000000 Round -36893.2 to the nearest 1000. -37000 Round -48738850 to the nearest one million. -49000000 Round -0.04819632 to three decimal places. -0.048 What is 30011.8 rou
{ "pile_set_name": "DM Mathematics" }
in -2/3, b, r? -2/3 Let w = -0.6 - -0.8. Let j = 8 + -3. Let p(l) = -l**2 - l + 4. Let o be p(0). What is the closest to -0.1 in o, j, w? w Let t be 24/(-14) + (4 - 2). What is the nearest to t in 2, -0.2, -3/4? -0.2 Let m = 105/4 + -26. Which is the nearest to m? (a) 2/3 (b) 0.4 (c) 1 b Let w = -5 - -4. Let u = w + 1.5. Let d = -1 - -1. Which is the nearest to d? (a) u (b) 0.3 (c) 4 b Let k = 3 + 2. Let h = -37 + 149/4. Which is the closest to -1? (a) k (b) h (c) 4 b Let i be (-3)/4*(-4)/6. Let o(w) = -2*w - 5. Let a be o(-4). Suppose l - a*l - 3*c - 19 = 0, -4*l - 17 = -c. What is the nearest to -1 in i, 0.3, l? 0.3 Let o = 1.8 + -1.9. Let v = 0 + 0. What is the nearest to v in o, -0.4, 3? o Let z = 105.9 + -106. Let u = -5 - -6. Which is the nearest to u? (a) 2/9 (b) z (c) -0.3 a Let m be -2*(31/(-10) + -1 + 4). What is the nearest to 2/9 in m, -2, 5? m Let t = 14.1 + -14. Which is the closest to 0? (a) 0.6 (b) -2 (c) t c Suppose -3*n + 5 = -5*y - 6*n, 4*n = 0. Let r be (-3 - -3) + y - 0. What is the closest to r in -4, -0.5, -1/5? -0.5 Let y = -3.96 - 0.04. Let n be ((-1)/2)/((-6)/4). Let m = 0.7 + -0.4. Which is the closest to n? (a) m (b) y (c) -2/11 a Let w = 6 - 3. Let a = -63/2 - -433/14. What is the closest to 0.1 in w, -2, a? a Let t = -0.9 - 0.1. Let y = -1.1 - t. What is the closest to y in -5, 0.2, 1? 0.2 Let z = -0.8 - -1.1. Let u = 0.3 - z. Let r = u + -1. What is the nearest to r in -1, -0.5, -2/11? -1 Suppose 7*n + 41 = 20. Let z = -11 - -15. Which is the nearest to -1/3? (a) n (b) z (c) 0 c Let n be 0 + 3 + 50/(-15). Let v = 4 + -5. Which is the closest to n? (a) 1/5 (b) v (c) 0 c Let v = -6 + 9. Which is the closest to 0.1? (a) -0.2 (b) 5 (c) v a Let p be 18/(-6)*8/(-6). Let m be (-42)/(-15) - (p - 1). Which is the nearest to -1? (a) 0.5 (b) m (c) -1 c Let u = -4 - -3. Let g = 0.5 + u. Let t = -0.38 - 0.02. What is the closest to 1 in t, 2, g? 2 Suppose 14 = -s + 3*s. Suppose 4*w = -4*z + 16, -5*w + z + 3*z = s. Suppose 3*u = -0*u - 6. What is the nearest to u in w, 3, -3? -3 Suppose -2 = 4*x - 2*x. Let o be (6/(-8))/(-1) + x. Let q(y) = 4*y**2 - 9*y + 2. Let m be q(2). Which is the closest to o? (a) 0.2 (b) 1 (c) m c Let p = 16.79 - 17. Let s = p + 0.61. Which is the closest to 1? (a) -2 (b) 2 (c) s c Let z = -7.8 - -8.3. Which is the closest to -1/2? (a) 8/3 (b) 2/17 (c) z b Let g = 4 - 9. Let s = -3.83 + 0.73. Let h = -0.9 + s. What is the closest to -1 in -2, g, h? -2 Let j = 19 - 16. Let u = 0.1 + -0.1. Let q = u - 1. Which is the closest to q? (a) -1 (b) j (c) 1 a Let u = -1/94 + 287/470. What is the closest to -2/5 in 0.1, -2, u? 0.1 Let m = 11 - 15. Let v be (-6)/m + (-4)/3. Let y be (-4)/3*2/8. Which is the closest to -2? (a) -4 (b) v (c) y c Let z = 7.3 - 7. Which is the closest to -1/2? (a) 4 (b) 1 (c) z c Let k = 6 + 7. Let v = k - 9. Let y be (-1)/(-1) - (-1)/(-3). Which is the nearest to -1? (a) v (b) y (c) 2/7 c Let d = -7 - -4. Let t = 7 + d. Let o = 3 - t. What is the closest to o in -0.2, -4, 0.1? -0.2 Let a be ((2 + -2)/(-5) - 2)/1. What is the nearest to a in 0.3, 6, -2? -2 Let n = 2/17 - 21/34. What is the nearest to n in 2, -0.1, -0.2? -0.2 Let o = -28 - -24. Let y be (-4)/(-12)*(-1)/2. What is the closest to 0.1 in y, -1, o? y Let h = 6.1 + -6. Let s = -41/132 + 1/4. Let t = s + 13/33. Which is the closest to -0.2? (a) t (b) h (c) 2 b Let m = -29/15 + 8/5. Let o(r) = r - 6. Let g be o(7). Which is the closest to 1/2? (a) m (b) g (c) -2 b Suppose 5*c + 5*z + 30 = 0, -c + 2*z + 10 = -z. What is the nearest to c in 0.5, -5, -3? -3 Let v = -0.44 - -0.04. Let y = -4 + 4. Let l = 0 + y. What is the closest to l in -2/17, 0.2, v? -2/17 Let f = -3 - -3.5. Let c be 16/(-154)*-1 + 26/143. What is the nearest to -0.1 in -5, c, f? c Let m = 4 - -5. Let g be (m/(-6) - -1)*0. Suppose 4*v = -g*v - 16. Which is the nearest to 0? (a) 0 (b) 3/7 (c) v a Let l = -337/44 - -31/4. Let i be 1 + 1/2*1. Let y = 103 + -103.4. What is the nearest to 1 in l, y, i? i Let n = -0.57 - -0.27. Which is the closest to 0.1? (a) -7 (b) -1 (c) n c Let g = 2.6 + 0. Let o = g - 0.6. Let r be (-36)/(-24) - (1 + 0). Which is the nearest to 0? (a) -4 (b) r (c) o b Suppose 0 = 2*s + d - 6, 3*s = 2*d - d + 4. What is the closest to 0.1 in s, 0.5, -3? 0.5 Let d = -0.6 + -2.4. Let k = -2.9 - d. What is the nearest to 1 in k, 1/4, 2/3? 2/3 Let r(w) = w - 8. Let l be r(6). Suppose -2*i + 5*i + 5*f = -3, -f - 4 = 4*i. Which is the closest to 0.5? (a) 0 (b) l (c) i a Let s = 21/10 - 211/110. What is the closest to -2/7 in s, -0.4, 0.1? -0.4 Let i(u) = -u**3 - 13*u**2 - u - 13. Let n be i(-13). Let x = 0.3 + -0.5. Which is the nearest to 1? (a) n (b) x (c) 3 a Let n = -538/5 - -108. Which is the closest to -1? (a) 2/19 (b) n (c) -5 a Suppose -13 = -3*k + g, -4 = -4*k + g + 12. Let w = 2.4 - -1.6. Let x = 17 + -15. What is the closest to 0 in w, k, x? x Let p = -247 - -236.9. Let c = p + 10. What is the closest to c in 2, 0.1, 0.2? 0.1 Let t = -0.18 + -0.02. What is the closest to 0 in -5, 2, t? t Let t = -12/17 - -65/68. Let i be -1 - -5 - 33/11. Which is the nearest to i? (a) 0.5 (b) t (c) -0.5 a Let s = 8.7 + -9. Let t = -1.6 - -1.1. Which is the nearest to -0.1? (a) s (b) -4 (c) t a Let q be (-48)/15 - (-4)/(-5). Let n = -1 + 1.5. What is the nearest to 1 in -0.1, q, n? n Let w = -3 - -3.1. Let n = 12.01 - 12. Let t = 0.11 - n. What is the closest to w in t, -0.5, 2/5? t Let d = -1.1 + -2.9. What is the nearest to d in 1/3, 0.1, 2/13? 0.1 Let q = 17 - 14. Let m = -4.6 + 5. Which is the closest to -0.2? (a) m (b) q (c) 3/8 c Let r = 2 - 2.2. What is the nearest to 3 in -3, -0.4, r? r Let z be (-3)/(1/4*-3). Let s = 2.921 + -0.021. Let t = 3 - s. What is the nearest to t in 5, -0.4, z? -0.4 Let u be ((-82)/16)/((-2)/(-44)). Let h = -112 - u. Which is the closest to 0? (a) 2/3 (b) h (c) -2/15 c Let m be -1*(-4)/(-30)*3. Let t = 455331/50 - 9105. Let o = t - 3/25. What is the closest to m in o, 0.3, -0.5? -0.5 Let p be 2/(2/7) + -8 + 6. Let i = -2 - 0. Let k = i + 4. What is the closest to 0.1 in 1/4, k, p? 1/4 Let r be (1 + -1)*(-2)/(-4). Let j = 17/10 - 6/5. What is the nearest to -2/5 in j, r, 2/17? r Let v = 11 + -43/4. What is the nearest to -1 in 5/6, 4, v? v Let j = -3.7 + 3.9. What is the closest to -2 in j, 1/2, -5? j Let u = 41229 - 373021/9. Let s = u + 218. Which is the closest to -1? (a) 5/4 (b) s (c) -0.2 c Let t = -3.8 - -4.8. What is the nearest to -0.3 in t, -0.1, -5? -0.1 Let f = 12 - 22. Let r = 9 + f. Let d be -1 + 2/(-6)*-2. Which is the closest to r? (a) 0 (b) d (c) 0.1 b Let o = -27.6 + 28. Which is the nearest to 0? (a) -1 (b) -8 (c) o c Let t = -29.11 - -0.41. Let f = 29 + t. What is the nearest to 1/2 in f, 1/2, -5? 1/2 Let w = 3.5 + -1.5. What is the closest to 1 in w, -4, 4? w Let q = 4 - 6. Let u = 2 + q. Let c = -0.4 - -0.3. What is the closest to -1 in u, c, -1/8? -1/8 Let q(n) = n**2 + 7*n + 6. Let u be q(-6). Let w be ((-2)/4)/((-3)/(-2)). Let t = 9.4 - 4.4. Which is the nearest to w? (a) t (b) u (c) -1 b Let f = -121 - -122. What is the closest to 0.1 in f, -0.01, 1/2? -0.01 Let z = 4 - 8. Let f = 0.345 - 0.345. Which is the nearest to 0.1? (a) f (b) -5 (c) z a Let u be (-3 - (-8)/6)/(-1). Let w = 188/731 - 6/43. Which is the nearest to -0.1? (a) w (b) 1 (c) u a Let k = -25/6 + 337/78. Which is the nearest to 0? (a) -6 (b) 0 (c) k b Let k = 49 - 49. Let g = 0.3 - 0.5. Let o be 3/(-5)*-1 + -1. What is the nearest to k in g, o, 3/4? g Suppose x - 10*x = -9. What is the nearest to x in 3, 0.3, -9? 0.3 Let f = -50 + 43.6. Let y = -6 - f. Let j = -2.1 + 2. What is the closest to j in -0.2, y, -0.4? -0.2 Let z = 0.36 - -0.04. Let j be 2 + (-6)/3 + -1. Which is the nearest to j? (a) 0.3 (b) 1 (c) z a Let d = -10.4 - -10. Let c(r) = -r**2 + 10*r - 7. Let y be c(9). Let q be (-3)/75*(-5)/y. What is the closest to 1 in q, -4/3, d? q Let j(p) = -p**3 + 6*p**2 - 3*p + 13. Let y be j(6). Which is the closest to -0.1? (a) -0.5 (b) y (c) 0.2 c Let h(d) = -d + 7. Let w be h(-6). Suppose -3*v - 4 = -w. Let u be (v + -1)*7/(-70). Which is the closest to -1? (a) -3/8 (b) 5 (c) u a Let h = 0.013 + -0.013. Let m = 11/5
{ "pile_set_name": "DM Mathematics" }
3 AM? 39 What is 90 minutes before 11:45 PM? 10:15 PM What is 520 minutes before 1:52 AM? 5:12 PM How many minutes are there between 2:25 PM and 7:52 PM? 327 How many minutes are there between 3:14 PM and 7:18 PM? 244 What is 547 minutes before 3:45 AM? 6:38 PM How many minutes are there between 2:08 AM and 12:18 PM? 610 What is 236 minutes before 4:02 AM? 12:06 AM How many minutes are there between 5:41 PM and 7:09 PM? 88 How many minutes are there between 2:48 PM and 1:12 AM? 624 What is 399 minutes before 2:13 PM? 7:34 AM How many minutes are there between 11:48 PM and 10:45 AM? 657 How many minutes are there between 4:12 PM and 1:19 AM? 547 What is 581 minutes before 5:27 AM? 7:46 PM What is 137 minutes after 9:56 PM? 12:13 AM What is 235 minutes after 1:08 PM? 5:03 PM How many minutes are there between 4:23 AM and 8:48 AM? 265 What is 423 minutes after 2:05 PM? 9:08 PM How many minutes are there between 4:40 PM and 12:22 AM? 462 How many minutes are there between 9:00 AM and 1:26 PM? 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528 How many minutes are there between 8:06 AM and 12:30 PM? 264 How many minutes are there between 3:48 PM and 2:58 AM? 670 What is 660 minutes after 4:24 PM? 3:24 AM How many minutes are there between 4:59 PM and 12:03 AM? 424 How many minutes are there between 10:18 PM and 12:51 AM? 153 What is 25 minutes after 10:34 AM? 10:59 AM What is 120 minutes before 3:39 PM? 1:39 PM What is 702 minutes before 8:22 AM? 8:40 PM What is 246 minutes before 7:51 AM? 3:45 AM What is 493 minutes after 12:23 AM? 8:36 AM What is 92 minutes before 2:36 PM? 1:04 PM What is 564 minutes after 11:10 PM? 8:34 AM What is 367 minutes after 11:26 PM? 5:33 AM What is 547 minutes before 12:56 AM? 3:49 PM How many minutes are there between 5:22 AM and 4:51 PM? 689 What is 612 minutes before 9:35 PM? 11:23 AM How many minutes are there between 12:56 PM and 3:52 PM? 176 What is 386 minutes after 10:33 PM? 4:59 AM What is 88 minutes before 8:30 AM? 7:02 AM How many minutes are there between 5:54 AM and 10:33 AM? 279 How many minutes are there between 2:41 PM and 8:41 PM? 360 How many minutes are there between 5:07 PM and 11:55 PM? 408 How many minutes are there between 8:45 PM and 10:13 PM? 88 What is 305 minutes after 3:53 PM? 8:58 PM What is 657 minutes after 2:10 AM? 1:07 PM What is 2 minutes before 9:08 PM? 9:06 PM What is 246 minutes after 3:40 AM? 7:46 AM How many minutes are there between 2:09 AM and 6:23 AM? 254 What is 165 minutes before 12:39 PM? 9:54 AM What is 502 minutes before 9:31 PM? 1:09 PM How many minutes are there between 4:36 AM and 12:36 PM? 480 What is 53 minutes after 7:21 AM? 8:14 AM What is 197 minutes after 7:13 PM? 10:30 PM What is 508 minutes after 12:48 PM? 9:16 PM What is 243 minutes before 7:42 AM? 3:39 AM What is 260 minutes after 2:47 AM? 7:07 AM What is 612 minutes before 1:21 PM? 3:09 AM What is 137 minutes after 12:25 AM? 2:42 AM How many minutes are there between 5:26 AM and 11:33 AM? 367 What is 154 minutes after 1:42 AM? 4:16 AM How many minutes are there between 3:09 AM and 2:58 PM? 709 How many minutes are there between 2:45 AM and 5:02 AM? 137 What is 176 minutes before 2:41 AM? 11:45 PM What is 627 minutes after 2:30 PM? 12:57 AM What is 197 minutes before 1:36 PM? 10:19 AM How many minutes are there between 11:16 PM and 8:23 AM? 547 How many minutes are there between 7:04 AM and 11:50 AM? 286 What is 372 minutes before 7:50 PM? 1:38 PM What is 682 minutes after 1:35 AM? 12:57 PM What is 156 minutes before 12:35 PM? 9:59 AM How many minutes are there between 4:17 AM and 8:21 AM? 244 How many minutes are there between 7:13 AM and 9:04 AM? 111 What is 508 minutes after 1:06 PM? 9:34 PM What is 607 minutes after 11:50 AM? 9:57 PM What is 186 minutes before 12:11 AM? 9:05 PM How many minutes are there between 2:19 PM and 1:49 AM? 690 How many minutes are there between 5:04 PM and 8:27 PM? 203 How many minutes are there between 6:08 AM and 1:08 PM? 420 How many minutes are there between 3:19 AM and 10:15 AM? 416 How many minutes are there between 3:41 AM and 1:38 PM? 597 What is 165 minutes before 1:44 PM? 10:59 AM How many minutes are there between 10:30 AM and 10:20 PM? 710 How many minutes are there between 2:13 PM and 4:58 PM? 165 What is 35 minutes after 7:09 PM? 7:44 PM How many minutes are there between 9:21 AM and 10:03 AM? 42 How many minutes are there between 7:24 PM and 3:47 AM? 503 How many minutes are there between 4:57 PM and 5:07 PM? 10 How many minutes are there between 10:13 AM and 11:04 AM? 51 How many minutes are there between 10:14 AM and 8:38 PM? 624 How many minutes are there between 6:17 AM and 11:21 AM? 304 What is 217 minutes before 7:39 AM? 4:02 AM What is 520 minutes before 2:55 PM? 6:15 AM What is 12 minutes before 4:11 PM? 3:59 PM How many minutes are there between 2:41 AM and 6:10 AM? 209 What is 677 minutes after 3:15 PM? 2:32 AM How many minutes are there between 6:21 PM and 8:31 PM? 130 How many minutes are there between 3:00 PM and 12:33 AM? 573 What is 36 minutes after 12:51 AM? 1:27 AM What is 304 minutes before 10:44 PM? 5:40 PM What is 48 minutes before 6:21 PM? 5:33 PM What is 616 minutes after 11:54 PM? 10:10 AM How many minutes are there between 7:53 AM and 8:37 AM? 44 How many minutes are there between 11:27 AM and 2:12 PM? 165 How many minutes are there between 8:11 PM and 8:36 PM? 25 How many minutes are there between 3:26 AM and 2:54 PM? 688 What is 664 minutes after 4:56 PM? 4:00 AM What is 662 minutes before 2:28 PM? 3:26 AM How many minutes are there between 4:17 AM and 5:06 AM? 49 What is 360 minutes before 8:34 PM? 2:34 PM How many minutes are there between 11:28 AM and 10:32 PM? 664 What is 610 minutes after 3:11 PM? 1:21 AM How many minutes are there between 4:04 PM and 5:32 PM? 88 What is 152 minutes before 9:42 AM? 7:10 AM How many minutes are there between 6:01 PM and 2:25 AM? 504 What is 699 minutes after 9:07 PM? 8:46 AM What is 171 minutes after 11:01 PM? 1:52 AM What is 98 minutes after 10:17 AM? 11:55 AM How many minutes are there between 5:53 PM and 1:26 AM? 453 How many minutes are there between 8:33 AM and 11:55 AM? 202 How many minutes are there between 9:43 AM and 4:31 PM? 408 How many minutes are there between 1:52 PM and 2:11 PM? 19 What is 67 minutes after 6:18 PM? 7:25 PM What is 416 minutes after 7:47 PM? 2:43 AM How many minutes are there between 11:50 PM and 5:21 AM? 331 What is 344 minutes after 3:13 PM? 8:57 PM What is 322 minutes before 8:24 PM? 3:02 PM What is 88 minutes before 6:18 AM? 4:50 AM How many minutes are there between 5:40 AM and 12:19 PM? 399 How many minutes are there between 7:32 PM and 10:56 PM? 204 How many minutes are there between 1:53 PM and 2:34 PM? 41 How many minutes are there between 6:56 AM and 7:45 AM? 49 How many minutes are there between 3:18 PM and 11:52 PM? 514 What is 429 minutes after 9:26 PM? 4:35 AM What is 583 minutes before 6:34 AM? 8:51 PM What is 128 minutes after 11:06 AM? 1:14 PM What is 2 minutes before 11:01 PM? 10:59 PM What is 211 minutes after 12:53 PM? 4:24 PM How many minutes are there between 3:07 AM and 1:43 PM? 636 What is 669 minutes before 5:46 AM? 6:37 PM How many minutes are there b
{ "pile_set_name": "DM Mathematics" }
**2 - a**2 - 2. Calculate n(k). -7 Let k = -67 + 68. Let h be 6/4 + k + (-5)/(-2). Suppose 3*v - v + h = -y, 0 = 2*y + 2. Let m(z) = 2*z**2 + 2*z - 2. Give m(v). 2 Suppose -4*a = -5*j - 1883, 3*a + 0*a = 4*j + 1412. Let s = -470 + a. Let l(d) = d - 1. Determine l(s). 1 Let p = 33989 - 33989. Let b(g) = g**3 + 32*g - 1. Calculate b(p). -1 Let y(i) = i**2 + 12*i + 2. Let t be y(-12). Let w(o) = -8*o - 69. Let p be w(-9). Let q(h) = 4*h**t - 2 - p*h**2 + 3. Determine q(-2). 5 Let b = -4 - -22. Suppose -b = 4*p - 2*p. Let r(j) = j - 2*j + 0*j - 8. Determine r(p). 1 Let d(h) = -3*h - 6. Let f be d(-3). Let c(g) = -f*g + 42*g**3 + 4*g - 8*g**2 + 2 - 43*g**3. Let k(l) = -l**2 + 2*l. Let r be k(4). Determine c(r). -6 Let x(p) = -41*p**3 - 5 - 857*p + 13*p**2 + 861*p + 43*p**3. Calculate x(-6). 7 Let g(b) = 2*b**3 + 5*b**2 + 3*b - 1. Let k(c) = -6*c - 129. Let y = -397 + 376. Let l be k(y). Determine g(l). -19 Let z(d) be the second derivative of -d + 8 + 1/3*d**3 - 29/2*d**2. What is z(12)? -5 Let o(u) be the first derivative of -u**7/840 + u**6/360 + u**5/120 - u**4/12 + 28*u**3 - 6. Let b(x) be the third derivative of o(x). Calculate b(0). -2 Let t(d) be the first derivative of d**2 - 2*d + 62. Let w(s) = -5*s**2 + 7*s - 14. Let q(y) = -5*t(y) + w(y). What is q(-3)? -40 Let n(d) = 3*d - d**3 + 12 + 5 + 0 + 16 - 8*d**2. Let l be n(-8). Let c(b) = 0*b**2 - l*b**3 + b**2 - 2*b**3 + 1 + b. Calculate c(-1). 12 Suppose -p + 4 = -21*b + 20*b, p + 5*b = -14. Let j(i) = 5*i**2 - 5*i + 2. Let x(r) = 3*r**2 - 3*r + 1. Let q(v) = -4*j(v) + 7*x(v). Give q(p). -1 Suppose 0 = 3*v + f + 16 - 24, 4*v + 5*f - 18 = 0. Let k(u) = u. Let c(r) = 9*r. Let d(w) = -c(w) + 4*k(w). Determine d(v). -10 Suppose 42 = -16*a + 9*a. Let c be 15/(-9) - (4/a + 1). Let k(r) be the third derivative of r**6/60 + r**5/60 - r**4/8 - r**3/6 + 3*r**2. Determine k(c). -7 Let z be (-8)/(-12) + 4/(-6). Suppose z = 3*a + 2*a - 10. Let j(l) = l**2 - 5*l - 7. Let n(r) = r**2 - 4*r - 5. Let m(f) = 3*j(f) - 4*n(f). What is m(a)? -3 Suppose 14*g - 10 = 31 + 1. Let t(d) be the first derivative of -15 + 7/3*d**g + 1/4*d**4 + 9/2*d**2 + 3*d. Give t(-6). -15 Let j(v) = 2*v**3 - 9*v**2 - 5*v + 6. Let s(i) = -i**3 + i**2. Let b(f) = -j(f) - 3*s(f). Suppose 5*y - 21*y = -2768. Let r = 168 - y. Determine b(r). -6 Let o = -4 + -3. Let c be (-14)/o + -1 + 8. Let l(v) be the first derivative of -v**2 + 8*v - 14. Determine l(c). -10 Let b(i) = i**2 + 12*i + 1. Let q be b(-9). Let w = q + 24. Let r(j) = -j + 5 - 19 + 4 + 8 + 2*j**2. Calculate r(w). 8 Let u(r) = -8*r + 1. Let l(t) = -4*t**2 - 12*t + 22. Let s be l(-7). Let v = 93 + s. Give u(v). -23 Suppose -4*y - 5*s = -29, -3*s + 33 = 4*y + y. Let h(r) = 2425 - 810 - 804 - 812. Let n(a) = a + 13. Let i(t) = y*h(t) + n(t). Calculate i(-7). 0 Let a be ((-1)/((-3)/7))/((-48)/(-432)). Suppose a*o - 5 - 16 = 0. Let k(w) be the first derivative of 3*w**4 - w**3/3 + w - 2. Determine k(o). 12 Let x(a) be the third derivative of a**4/24 + 7*a**3/6 - 365*a**2. Calculate x(-3). 4 Let h(w) = 2*w + 9. Let o(l) = 4*l + 61. Suppose -6*q + 3*q + 9 = 0, 4*d - 3*q + 77 = 0. Let f be o(d). Calculate h(f). -5 Let o(k) = 1812*k**2 + k**3 + 1815*k**2 - 3617*k**2 + 14 - 2*k. Give o(-9). 113 Let x(q) = 4*q + 5. Let g(u) = -u**3 - 7*u**2 + 1. Let m be g(-7). Let v(s) = 2*s - 1. Let z(n) = m*v(n) + x(n). Determine z(5). 34 Let u(m) = m**2 + 5*m. Let t(r) = -r**2 + 13*r - 16. Let y = -53 - -55. Let j = y - -10. Let x be t(j). Give u(x). -4 Let g(l) = l**2 - 6*l + 18. Let x be (-27)/(-162)*9*(-16)/(-6). Determine g(x). 10 Let n(d) = 10*d**3 + d + 1. Suppose 2*v + 78 = i, 3*i - 3*v = -0*v + 249. Suppose 0 = i*h - 68*h + 20. Give n(h). -10 Let n(s) = 29*s + 258. Let u be n(-9). Let d(t) = 2*t**2 + 2*t + 4. What is d(u)? 16 Let k(m) = -m**3 + 6*m**2 - 2*m + 5. Let t be (-22)/(-6)*(-2 - -5). Suppose 0 = -t*b + 15*b - 2*l - 14, -2*l = -2*b + 2. Calculate k(b). -7 Let s be 26226/9 + -3 + 2. Let i(y) = -y**2 + 2904*y - 1 + 3 - s*y + 6. Determine i(-10). -2 Let g = 464 + -462. Suppose p + g*f - 2 = 0, 3*p + 5*f = p + 1. Let j(v) = v - 11. What is j(p)? -3 Let n(b) = 5*b + 290. Let v be n(-56). Let z(t) = t**2 - 12*t + 19. What is z(v)? -1 Let s(p) = p**3 - 23*p**2 - 2*p + 48. Let b be s(23). Let l(k) = -20 - k**b - 18 + 31 - 8*k. Let w(t) = 3*t - 6. Let y be w(0). Give l(y). 5 Let k(r) = -2*r + 11. Let a(g) = 18 - 18*g + 5*g + 12*g - 2*g. Let s(t) = -3*a(t) + 5*k(t). Suppose -4*o = 2*h - 5*o - 8, 4*o = 4*h - 12. Calculate s(h). -4 Suppose 24*o = 12*o + 288. Suppose 0 = 5*d - 21 - o. Let m(j) = -j**2 + 7*j. Determine m(d). -18 Let i = -2080 + 2080. Let h(x) = 4*x**2 - 12. Let z(n) = -n**2 + 1. Let w(s) = -h(s) - 5*z(s). Determine w(i). 7 Let j(g) = -g - 9. Suppose -4*b - 162 = -b + 5*r, b = 3*r - 40. Let k = b - -65. Let q(x) = -x**2 + 15*x + 16. Let d be q(k). Give j(d). -9 Let h(v) = -v**3 + 9*v**2 - 9*v. Let g(s) = -s**2 + 4*s + 6. Let x be g(-2). Let z be x/(-16) + 1769/232. Give h(z). -8 Let t(o) be the second derivative of -o**3/6 - o**2/2 - 26*o. Suppose -5*z = 4*l + 51, 15 = -6*l + 4*l + z. Give t(l). 8 Let d(w) = w**2 + 7*w - 2. Suppose 27*y = -0*y - 5238. Let u = y + 185. What is d(u)? 16 Let n(d) = d**3 - 4*d**2 + 3*d - 3. Let x(f) = -1. Let w(r) = n(r) - 2*x(r). Suppose -5*z - 31 = -11. Let m be 4 + 16/(-7) - z/14. Give w(m). -3 Let a(m) = 21*m - 93. Let o(r) = 25*r - 110. Let x(t) = 7*a(t) - 6*o(t). Suppose 4*i - 4 = 24. Calculate x(i). -12 Let g be -4 + (-480)/(-112) - (-24)/14. Let y(z) = -26*z**3 - 4 + 25*z**3 - 85*z**g - 3*z + 86*z**2 + 6*z. What is y(4)? -40 Suppose 67*k - 66*k + 3*n + 7 = 0, -17 = -k + 5*n. Suppose -k*x = 22*x. Let m(c) = -2*c**2 + c + 1. Give m(x). 1 Let t(g) = -2*g - 7. Let b(f) = -5*f - 15. Let r(s) = 6*b(s) - 13*t(s). Suppose -2*q + 325 + 483 = 0. Let i = 402 - q. Calculate r(i). 9 Let d(i) = -3*i + 8. Let s be 8/(-6)*((-9)/6 + 0). Give d(s). 2 Let k(m) = 155*m - 594. Let u(i) = -311*i + 1199. Let p(n) = 5*k(n) + 3*u(n). Calculate p(4). -5 Let c(q) = q**2 + 4*q - 31. Let w be c(-8). Let h(r) = -5 + 1 + r + 0*r**2 + r**2 - w. Determine h(-6). 25 Suppose 4 = 3*j + 2*g - 46, 35 = 3*j + 5*g. Suppose -j = -23*f + 13*f. Let r(d) = -6*d - 2 + 5*d**2 + 9*d**f + 2*d**2 - 15*d**2. What is r(6)? -2 Let h(u) be the third derivative of -11*u**6/40 - u**5/60 - u**4/24 - u**3/6 - 1158*u**2 - 1. Give h(-1). 32 Let y(o) be the second derivative of -o**7/2520 + 7*o**6/720 - o**5/20 + o**4/4 + o**2 - 2*o - 1. Let x(i) be the third derivative of y(i). Determine x(4). 6 Suppose -4*f + 25 = 5*o, -4*f + 0*o - 10 = -2*o. Let p(u) = -19*u. Give p(f). 0 Let h(m) = m**3 - 9*m**2 + 6*m + 7. Let f be (-4)/(-6) + 77/15 + (-32)/(-160). Determine h(f). -65 Let v(x) = -315*x + 241. Let w(a) = -193*a + 160. Let b(f) = 5*v(f) - 8*w(f). Determine b(-6). 111 Let f(b) = 10*b - 767. Let c be f(77). Let h(n) = -2*n**2 - 3*n - 3. Determine h(c). -30 Let l(t) = t**3 - 6*t**2 - 7*t + 15. Let d(g) = -g**2 + 2*g - 1. Let r(c) = 3*d(c) + l(c). Give r(9). 3 Suppose 92 = -45565*t + 45588*t. Let g(r) = r - 10. Let b(j) = -3*j + 30. Let c(v) = 2*b(v) + 7*g(v). Calculate c(t). -6 Let v be ((-1020)/408)/((-10)/24). Let f(k) = -k**2 + 5*k + 8. Let b(g) = g**2 - 5*g - 9. Let a(d) = -6*b(d) - 5*f(d). Calculate a(v). 8 Suppose -12*x = 279 - 279. Suppose x = -4*t + 2*l - 34, 15*t - 18*t + 2*l = 26. Let j(c) = c + 19. Give j(t). 11 Suppose 160*s + 104 = 44*s - 128. Let q(o) = -8*o - 5. Give q(s). 11 Let h(m) = m**2 - 20*m + 35. Let a be ((-20)/(-40))/((-2)/(-8)). Determine h(a). -1 Let v(w) = -3*w**3 - 2*w**2 + w. Suppose -5*d - 696 + 737 = -3*j, 2*d - 24 = 5*j. What is v(j)? 14 Let t = -6 - -8. Suppose 8*l - 7*l - 9 = -2*g, -3*l + 11 = 2*g. Let s(f) = 3 - 5*f + 2 - g. Give s(t). -9 Let s(o) = 2*o**2 - 2*o + 9. Suppose 0 = g + 2*w - 3, -4*g - 6*w + 4*w = -12. What is s(g)? 21 Let k(h) = -7*h - 2*h**3 - 21 - 32 - 5*h**2 + 40. Let c(v) = 3*v**3 + 4*v**2 + 7*v + 13. Let w(f) = 3*c(f) + 4*k(f). Calculate w(9). 5 Let l(y) be the first derivative of 2*y**2 - 41*y + 3015. Calculate l(12). 7 Let g be (-8)/76 - 2296/(-152). Suppose 0 = -3*u - 4*b - g, 2*u + 10 = -2*b - b. Let n(l) = l**3 + 6*l**2 + l - 5. Determine n(u). 15 Let j(g) be the second derivative of -5*g**3/3 + g**2 - 276*g. Suppose 5*b + 2 = -4*u, -3*u = -4
{ "pile_set_name": "DM Mathematics" }
ose 3*k - i*c = 1766, 4*k - 5*c - 1760 = k. Find the second derivative of 590*o**3 + 7*o**5 - k*o**3 - 3*o wrt o. 140*o**3 Let q(m) = -936*m - 2629. Let d(y) = -1871*y - 5244. Let c(g) = -4*d(g) + 7*q(g). Differentiate c(z) wrt z. 932 Let z(b) be the second derivative of 6/7*b**7 - 2*b + 0*b**4 + 14*b**2 + 135 + 0*b**5 + 0*b**6 - 1/2*b**3. What is the second derivative of z(v) wrt v? 720*v**3 Find the third derivative of 85703*j**4 - 85724*j**4 + 2*j**3 - 43 - 37*j**2 - j - 3*j**2 - 11*j**2 - 12*j**3 wrt j. -504*j - 60 Let n(h) be the third derivative of -23/40*h**6 + 0*h + 1/2*h**3 - 8*h**2 + 0 - 3/20*h**5 + 0*h**4. What is the third derivative of n(u) wrt u? -414 Let n = -47 - -49. Find the second derivative of -6*g**2 - 5*g**2 - 8*g - 4*g**n - 19*g wrt g. -30 Let t = -8270 + 14879. Differentiate -43*n + 95*n + 87*n + t - 6472 with respect to n. 139 Let r(j) be the first derivative of 6*j + 11/2*j**2 + 1/4*j**4 - 41/3*j**3 - 86. What is the second derivative of r(m) wrt m? 6*m - 82 Suppose 0 = -2*c - 153 + 1439. Suppose -5*h + 16 = 2*x, -3*h + 7*h - 2 = 2*x. What is the third derivative of -643*a**3 + c*a**x + 12*a**2 - a**4 wrt a? -24*a Suppose -4*k + 8*c = 7*c - 148, 3*c - 60 = -2*k. What is the third derivative of -32 + 66 - 32*s**2 + 82*s**5 - k wrt s? 4920*s**2 Let r be 2/7*14/1. Find the second derivative of -64*h - 1996*h**4 + 1001*h**4 + 969*h**r wrt h. -312*h**2 Let i(a) be the second derivative of -508*a**7/21 + 41*a**4/12 - a**3/3 + 486*a. What is the third derivative of i(f) wrt f? -60960*f**2 Let d(z) be the second derivative of -962*z**5/5 - 2789*z**2/2 + 2*z - 173. Differentiate d(t) wrt t. -11544*t**2 Let t(c) be the second derivative of 167*c**6/15 - c**4/12 + 3183*c**2/2 - 774*c. Differentiate t(i) wrt i. 1336*i**3 - 2*i Suppose 4*w - 20 = 0, -8*z + 2*w - 86 = -9*z. Differentiate -90 - z*r**4 - 237 + 79 with respect to r. -304*r**3 Let j(s) be the third derivative of -407*s**9/252 + 191*s**5/3 + 2*s**2 + 2138. Find the third derivative of j(b) wrt b. -97680*b**3 Find the first derivative of -2097*w + 724*w - 5312 - 101*w - 1962*w wrt w. -3436 Let r(v) be the first derivative of 2*v**5 + 3*v - 13/3*v**3 - 7/4*v**4 + 0*v**2 + 52. Find the third derivative of r(j) wrt j. 240*j - 42 Let t(c) = -71*c + 204. Let m = -10 + 7. Let a(f) = 73*f - 202. Let d(h) = m*a(h) - 4*t(h). What is the first derivative of d(s) wrt s? 65 Let g(h) be the second derivative of 170*h**3/3 + 207*h**2/2 - 534*h + 2. Differentiate g(s) with respect to s. 340 Let b be 1*(3/(-5) + 0)*-5. Suppose 0 = -b*y + 2*d + 15, y = 3*y - d - 11. What is the second derivative of -2*w - 13*w + y*w**5 - 2*w**5 wrt w? 100*w**3 Let b = -173 + 256. Find the first derivative of -b + 22 - 12 - 38*w + 9*w wrt w. -29 Let h(o) be the second derivative of 114*o + 0 + 0*o**3 + 71/2*o**2 - 95/6*o**4. Find the first derivative of h(n) wrt n. -380*n Suppose 2*r - 4 = -4*t + 2, 0 = -5*t + r + 11. Find the first derivative of 64*p**t - 96*p**2 - 55 + 48*p**2 wrt p. 32*p What is the second derivative of -11 + 6 - 788*f**2 + 501*f**2 - 56*f - 955*f**2 - 122*f**2 wrt f? -2728 Differentiate 2*h**2 - 1988771 - 3*h - h**2 + 1992794 + 20*h**4 with respect to h. 80*h**3 + 2*h - 3 Let b(j) = -j**2 - 197*j - 1132. Let z be b(-6). Suppose 5*t = 10 - 0. Differentiate 13 + 8 - z + 34*r**t with respect to r. 68*r Let l(x) be the second derivative of -1/15*x**6 + 2/3*x**3 + 0*x**4 - 41*x - 37/2*x**2 + 0 + 0*x**5. What is the derivative of l(o) wrt o? -8*o**3 + 4 Let n(u) be the third derivative of 0 + 55/24*u**4 + 25/3*u**3 + 13*u**2 + 0*u. Find the first derivative of n(o) wrt o. 55 Let a(q) be the second derivative of -17*q**5/10 - 13*q**4/12 + 8359*q**3/6 - 490*q. What is the second derivative of a(d) wrt d? -204*d - 26 Let f(q) be the first derivative of 2*q**5/5 - 37*q**4 - 2*q**3/3 + 1867*q + 516. What is the first derivative of f(g) wrt g? 8*g**3 - 444*g**2 - 4*g Let v(a) = 6*a**2 - 3*a**2 + 12 - 21 + 13 - a**3 - a. Let h be v(3). What is the derivative of h + 11 - 14*o**3 + 0 wrt o? -42*o**2 Let p(r) be the second derivative of -2*r + 0*r**5 + 0*r**6 + 175 - 47/21*r**7 + 1/3*r**3 + 0*r**4 - 81/2*r**2. Find the second derivative of p(f) wrt f. -1880*f**3 Let y be 6 + 3 - (9 - 2). What is the second derivative of 2*k**3 + 147*k - 1306*k**4 + y*k**5 + 1306*k**4 - 4*k**5 wrt k? -40*k**3 + 12*k Let z(k) be the third derivative of -2062*k**7/105 - 1298*k**3/3 - 8*k**2 + 4*k + 13. What is the first derivative of z(x) wrt x? -16496*x**3 Let n(y) = 19689*y - 6635. Let m(d) = -6540*d + 2211. Let x(q) = -8*m(q) - 3*n(q). Differentiate x(i) wrt i. -6747 Find the third derivative of 883*o**5 - 41028*o**2 + 39984*o**2 + 1251*o**5 wrt o. 128040*o**2 Let x(v) be the first derivative of 13622*v**3/3 - 13601*v**2/2 + 14360. What is the second derivative of x(r) wrt r? 27244 Let g(n) be the first derivative of 2*n + 110 - 27/2*n**2 - 142/3*n**3. What is the second derivative of g(j) wrt j? -284 What is the first derivative of 11240*a**4 + 11244*a**4 - 1924*a**2 + 61 - 33723*a**4 + 11240*a**4 - 22 wrt a? 4*a**3 - 3848*a Find the first derivative of -3242*y**3 - 108 - 898*y - y**4 + 3242*y**3 wrt y. -4*y**3 - 898 Let l = -24 + 27. Suppose -l*q = q - 2*t, 2*q + 5*t = 24. Find the second derivative of 8*p**5 - 2*p**5 + 14*p**5 + q*p wrt p. 400*p**3 Let r = 32 + -33. Let z(y) = -4*y**3 + 4*y + 3. Let b be z(r). Find the third derivative of 3*v**5 + 6*v**2 - 11*v**3 + 11*v**b + 13*v**2 wrt v. 180*v**2 What is the third derivative of 5*d**3 - 9162*d**6 + 9519*d**6 - 924*d**2 - 5*d**3 wrt d? 42840*d**3 Let r(s) be the first derivative of -1554*s**5/5 + 5047*s**2 - 7351. What is the second derivative of r(n) wrt n? -18648*n**2 Let t(n) be the first derivative of 6*n**5/5 - 55*n**3/3 + 4543*n - 200. Differentiate t(a) wrt a. 24*a**3 - 110*a Let d(n) be the first derivative of 0*n**3 + 0*n**2 + 83/4*n**4 + 51 - 48*n. Find the first derivative of d(h) wrt h. 249*h**2 Let o = 41 - 34. Let z be 14/o - (-1 - -1). What is the second derivative of 6*d + 8*d**z + 0 - 22*d + 0 wrt d? 16 Let s(w) be the second derivative of 86*w**5 - 52*w**3/3 - 3*w**2 - 1232*w - 1. Find the second derivative of s(f) wrt f. 10320*f Suppose -4*b + 11 = -5. Let j be 0 + 8/3 + (-8)/(-24). What is the third derivative of 9*w**j - 11*w**2 - 4*w**2 + b*w**2 wrt w? 54 Let p(m) be the third derivative of -286*m**9/63 - m**6/120 - 2079*m**5/20 - 129*m**2 - 3*m - 1. What is the third derivative of p(b) wrt b? -274560*b**3 - 6 What is the derivative of 42*m - 76*m + 9612 - 39*m**2 + 36*m - 63*m**2 wrt m? -204*m + 2 What is the third derivative of -45*n**4 - 7*n**4 + 938*n**2 + 180*n**2 - n**3 + 0*n**3 wrt n? -1248*n - 6 Let y be (-112)/(-28) - -2 - (-99)/(-20). Let g(z) be the second derivative of 0 - y*z**5 + 16*z + 0*z**4 - 4*z**2 + 0*z**3. Differentiate g(x) wrt x. -63*x**2 Suppose -1070 = -9*j + 10. What is the third derivative of 0*t + t + 89*t**3 - j*t**3 - 4*t**2 wrt t? -186 Let v(g) be the second derivative of -436*g**3 - 3213*g**2/2 + g - 445. Differentiate v(b) with respect to b. -2616 Let q(g) be the second derivative of -17*g**2 + 1 - 117/20*g**5 + 0*g**3 + 0*g**4 + 16*g. Find the first derivative of q(n) wrt n. -351*n**2 Suppose -3*m + 3 = 33. Let h = m - -19. Find the first derivative of 27*g - h - 27*g + 13*g**3 wrt g. 39*g**2 Let h(g) = g**2 - 17*g. Let z be h(10). Let d = z - -73. Find the third derivative of -32 - 4*u**2 - 2*u**d + 32 wrt u. -12 Differentiate 2166 + 120*p**3 - 2*p**2 - 4277 + 2144 wrt p. 360*p**2 - 4*p Suppose -2*s = s - 123. What is the first derivative of -48 - 16*p**3 - s*p**3 - 20 wrt p? -171*p**2 Let w(l) be the third derivative of 177*l**7/70 - l**6/60 + 289*l**5/30 + l**3/3 - 1161*l**2 + l. Find the third derivative of w(m) wrt m. 12744*m - 12 What is the derivative of -2321 - 27744*h - 131 + 451 + 25140*h wrt h? -2604 Let h = -4157 + 4157. Let b(u) be the first derivative of 15/2*u**2 + 0*u + h*u**3 - 10 + 1/4*u**4. Find the second derivative of b(p) wrt p. 6*p Let y(l) be the second derivative of -1999*l**6/30 + 1571*l**3/6 + 1118*l + 1. Find the second derivative of y(m) wrt m. -23988*m**2 What is the second derivative of 979*z**2 - 494*z**2 - 1205*z + 146*z**3 - 485*z**2 + 161*z**3 wrt z? 1842*z Let o(m) be
{ "pile_set_name": "DM Mathematics" }
rms in 5 + 0*c - 9*c + 29*c + 31*c. 51*c + 5 Collect the terms in 3436*w + 1096*w - 678*w. 3854*w Collect the terms in 53 + 41 + 56*i - 94. 56*i Collect the terms in 16 - 16 - 2668*a. -2668*a Collect the terms in -6*j**2 + 577 - 1113 + 536. -6*j**2 Collect the terms in 39*v**2 - 7*v**2 - 25*v**2. 7*v**2 Collect the terms in -5 - 5 + 25*i + 10. 25*i Collect the terms in -116 - 96 - 3*p - 81 - 81 + 328. -3*p - 46 Collect the terms in 63*o - 80*o - 85*o - 156*o - 4*o**3 - 43*o. -4*o**3 - 301*o Collect the terms in x - x + 16843 + x + 6*x. 7*x + 16843 Collect the terms in -122*k**3 + 293*k**3 - 148*k**3. 23*k**3 Collect the terms in 3*g**2 - 190773 + 190773 + 3*g. 3*g**2 + 3*g Collect the terms in -900 + 443 - 4*x + 457 + 7*x. 3*x Collect the terms in 182 - 2*t**3 - 78 - 104. -2*t**3 Collect the terms in 170*m**2 + 127*m**2 - 65*m**2. 232*m**2 Collect the terms in 484*a**2 - 1422*a**2 + 934*a**2. -4*a**2 Collect the terms in 267*w**2 - 519*w**2 + 256*w**2. 4*w**2 Collect the terms in -2306106*o**3 + 1153054*o**3 + 1153074*o**3. 22*o**3 Collect the terms in 0 + k - 3 + 8*k - 273*k**3. -273*k**3 + 9*k - 3 Collect the terms in -n**3 + 2*n + 157*n**2 - 165 - 2*n - 157*n**2. -n**3 - 165 Collect the terms in 263*t**2 - 421*t**2 + 158*t**2 - 69*t**3. -69*t**3 Collect the terms in 465*t**2 - 945*t**2 + 481*t**2. t**2 Collect the terms in 1387*g**2 - 458*g**2 - 471*g**2 - 472*g**2. -14*g**2 Collect the terms in -5*v + 13 - 23 + 8. -5*v - 2 Collect the terms in 28*s + 2*s**2 + 88*s + 521*s + 430*s. 2*s**2 + 1067*s Collect the terms in 5 - 4 + 454*y**3 - 2*y + y + 736*y**3. 1190*y**3 - y + 1 Collect the terms in 20*r - 39*r - 40*r**2 + 19*r + 39*r**2. -r**2 Collect the terms in -4*l**2 + 3*l**2 + l + 20*l**2 - l. 19*l**2 Collect the terms in -28011596*h**2 - h + 42*h**3 + 28011596*h**2. 42*h**3 - h Collect the terms in -10197*u - 43*u**3 + 10197*u - 73*u**3. -116*u**3 Collect the terms in -78*w**3 - 6*w**2 - 3*w**2 - 7 + 4*w**2 + 83*w**3. 5*w**3 - 5*w**2 - 7 Collect the terms in 5*w**2 - 23*w**2 + 85*w**2. 67*w**2 Collect the terms in 32161 - 64330 + 32169 + 619*t. 619*t Collect the terms in 154*i**3 + 190*i**3 - 103*i**3. 241*i**3 Collect the terms in -15666*n + 31839*n + 39524*n. 55697*n Collect the terms in -5 + 72*i - 36*i - 7 + 12. 36*i Collect the terms in 3083*b + 106 - 106. 3083*b Collect the terms in 2*v**2 - 7*v**2 + 4*v**2 - v**2 + 4*v**2. 2*v**2 Collect the terms in -1037*q - 761*q + 1801*q. 3*q Collect the terms in -5*a - 23*a - 27*a - 10*a. -65*a Collect the terms in 4*q**3 - 29146*q**2 + 29146*q**2 - 3*q**3 + 3*q**3. 4*q**3 Collect the terms in 0 + 138*k - 2*k + 14*k - 7. 150*k - 7 Collect the terms in 3 - 4 + 4933*x + 1. 4933*x Collect the terms in 31932 - 12*j**3 + 31934 - 63866. -12*j**3 Collect the terms in -1227*r - 1231*r - 1229*r - 1231*r + 4922*r. 4*r Collect the terms in -4*x + 0*x**3 + 9*x**3 + 4*x + 4*x. 9*x**3 + 4*x Collect the terms in 9422*w**2 + 5*w - 5*w - 2128*w**2. 7294*w**2 Collect the terms in 67*n - 5 - 42*n - 46*n. -21*n - 5 Collect the terms in -6*f**3 - 5*f**3 + 757*f + 0*f**3 - 757*f. -11*f**3 Collect the terms in 135155*x**2 + 36*x - x**3 - 135155*x**2. -x**3 + 36*x Collect the terms in -88*n + 75*n - 575*n - n**2 + 0*n**2. -n**2 - 588*n Collect the terms in -22 + 41 - 18 - 20 + 6*j. 6*j - 19 Collect the terms in -18*j**2 - 7*j**2 - 10*j**2 - 25*j**2 + 17*j**2. -43*j**2 Collect the terms in -4892*a + 4151 - 4151. -4892*a Collect the terms in 179*a + 6*a**2 + 17*a - 196*a. 6*a**2 Collect the terms in 30321*c**2 - 60875*c**2 + 30377*c**2. -177*c**2 Collect the terms in -8*k + 8580115 - 8580115. -8*k Collect the terms in a - 175407*a**2 - 2*a + 175413*a**2 + a. 6*a**2 Collect the terms in 7243*j**2 - 2 + 2 + 0. 7243*j**2 Collect the terms in -136649*h**3 + 68332*h**3 + 68344*h**3. 27*h**3 Collect the terms in 598*j**3 + 594*j**3 + 595*j**3 - 1780*j**3. 7*j**3 Collect the terms in -112277*h**3 + 224490*h**3 - 112214*h**3. -h**3 Collect the terms in -60998*i + 3911*i**3 + 60998*i - 582*i**3. 3329*i**3 Collect the terms in -111*i + 111*i + i**3 + 104*i**2. i**3 + 104*i**2 Collect the terms in -7464*z**2 + 14909*z**2 - 7447*z**2. -2*z**2 Collect the terms in 564*n + 343*n - 1467*n + 564*n. 4*n Collect the terms in 25*o + 17*o - 48*o + 10*o. 4*o Collect the terms in 8*z - 2*z - 26894 + 53786 - 26892. 6*z Collect the terms in 339*n - 4 - 14 + 18. 339*n Collect the terms in -189*f + 18*f + 90*f + 92*f. 11*f Collect the terms in -5 - 16*m**3 + 4 + 1 - 27*m**3 + 36*m**3. -7*m**3 Collect the terms in -8 - 10 - 8 - v - 13 + 28. -v - 11 Collect the terms in -481948*z + 240991*z + 240975*z. 18*z Collect the terms in 17*b**3 + 10364 - 10364. 17*b**3 Collect the terms in 6*v - 15*v + 7*v - 596 + 731. -2*v + 135 Collect the terms in 6 + 124*j + 13 + 132*j - 289*j - 20. -33*j - 1 Collect the terms in 684*c**2 + 840*c**2 - 1488*c**2. 36*c**2 Collect the terms in -15 - 125*t**2 + 24 + 133*t**2 - 9. 8*t**2 Collect the terms in 3*d**2 - 2*d**2 + 8*d**3 - 34*d**3 + 2*d**2. -26*d**3 + 3*d**2 Collect the terms in 1 - 1 + 964*t**2 - 966*t**2. -2*t**2 Collect the terms in 5*j - 12*j + 5*j - 123. -2*j - 123 Collect the terms in w**3 + 22 - 20*w**3 - w**3 - 4*w**3. -24*w**3 + 22 Collect the terms in -1967257*f + f**2 + 1967257*f - 13. f**2 - 13 Collect the terms in -56*m - 156*m + 73*m - 154*m + 43*m. -250*m Collect the terms in -18715470754 + 4*u**2 + 18715470754. 4*u**2 Collect the terms in 65*g - 119*g - 315 + 38*g + 315. -16*g Collect the terms in 5*s + 4168 - 4169 + 19*s - 8*s. 16*s - 1 Collect the terms in -124*m**3 - 9*m**2 - 47*m**3 + 9*m**2. -171*m**3 Collect the terms in -1343 + 1550*w**2 + 1343 - 134*w**2. 1416*w**2 Collect the terms in 20 - 5*c - 4*c + 55. -9*c + 75 Collect the terms in -161*f - 150*f - 295*f. -606*f Collect the terms in 212*a + 278*a - 1 + 131*a. 621*a - 1 Collect the terms in 646*r - 1 + 1 - 1479*r + 693*r. -140*r Collect the terms in 31 - 47*x - 155*x + 43 - 69*x. -271*x + 74 Collect the terms in y**3 + 8*y**2 + 102*y**2 - 97*y**2 + 140*y**2. y**3 + 153*y**2 Collect the terms in -34549*x + 2*x**3 + 69094*x - 34545*x. 2*x**3 Collect the terms in 16*y**2 + 0*y**2 - y**2 - 5*y**2 - 4*y**2. 6*y**2 Collect the terms in -222*n**3 + 73*n**3 + 71*n**3 + 86*n**3. 8*n**3 Collect the terms in 334*j**2 + 98*j**2 + 215*j**2 + 110*j**2 + 176*j**2. 933*j**2 Collect the terms in -92365254*b**2 + 46182632*b**2 + 46182623*b**2. b**2 Collect the terms in 80295*p - 40150*p - 40322*p. -177*p Collect the terms in -9 - 68*s - 20*s + 3. -88*s - 6 Collect the terms in -4 + 108*w + 6 + 36. 108*w + 38 Collect the terms in 3*x + 30 - 34 + 4. 3*x Collect the terms in 0*p**3 - 465203*p**2 + 2*p**3 + 465203*p**2. 2*p**3 Collect the terms in -1240*r + 2144*r - 898*r. 6*r Collect the terms in -12125*w - 3 - 12130*w + 36378*w - 12123*w - w**2. -w**2 - 3 Collect the terms in -2358*u**3 - 207*u**3 + 48*u**2 - 48*u**2. -2565*u**3 Collect the terms in 19 - 5*b**3 + 25*b**3 - 12*b**3 - 19*b**3. -11*b**3 + 19 Collect the terms in 0*q + 7*q - 2*q + 5*q. 10*q Collect the terms in -9*v**2 - 3*v**3 - 64*v**2 + 2*v**3 - 18*v + 18*v. -v**3 - 73*v**2 Collect the terms in -7185*w - 31555*w**3 + 7185*w. -31555*w**3 Collect the terms in -1163*k + 2 - 56*k + 0. -1219*k + 2 Collect the terms in j**3 - 8 + 0*j**3 + 7 + 0*j**3. j**3 - 1 Collect the terms in 43*y**3 + 24*y**3 + 37*y**3. 104*y**3 Collect the terms in 30509020 - 14*h - 30509020. -14*h Collect the terms in -24*j**2 + 64*j**3 - 51*j**3 + 4*j**2 - 18*j**3. -5*j**3 - 20*j**2 Collect the terms in -8073*l + 16113*l - 8030*l. 10*l Collect the terms in -1 - 102*y - 12*y**3 - 115*y**2 + 115*y**2. -12*y**3 - 102*y - 1 Collect the terms in -2 - 558*w - 271*w + 1 - 740*w - 1. -1569*w - 2 Collect the terms in 438*d**2 + 292112 - 292112. 438*d**2 Collect the terms in -4 + 6*b - 7*b + 4 + 2*b. b Collect the terms in 23993*f**3 - 4*f + 4*f + 0*f. 23993*f**3 Collect the terms in 37*k**3 - 181 + 358 - 177. 37*k**3 Collect the terms in 89*l - 5 + 6 + 4. 89*l + 5 Collect the terms in -78*m**3 - 78*m**3 + 303*m**3 - 79*m**3 - 70*m**3. -2*m**3 Collect the terms in -2689*o**2 - 4838*o**2 - 875*o**2 + 149*o**2. -8253*o**2 Collect the terms in 18*m**2 - 41*m**2 - 474*m + 47*m**2 + 474*m. 24*m**2 Collect the terms in 410*m**2
{ "pile_set_name": "DM Mathematics" }
ided by p. 6 Suppose -3*n = -2*d - 0 + 13, 5*d - 7 = -n. Suppose 0 = w + 2, -d*h - 4*w + 1 = -3. What is the remainder when 352/h + 8/(-12) is divided by 20? 18 Calculate the remainder when (2 + -11)/(12/(-8)) is divided by 3. 0 Let z(j) be the third derivative of j**4/8 - 3*j**3/2 + 2*j**2. Let r be z(6). Calculate the remainder when 21 is divided by (-202)/(-18) + (-2)/r. 10 What is the remainder when 1/((-1)/(-265)*5) is divided by 18? 17 Let x(t) = -t**3 - t**2 - t + 2. Calculate the remainder when 22 is divided by x(-2). 6 Let c(o) = -o. Let b(f) = 19*f + 1. Let t(q) = b(q) - 4*c(q). What is the remainder when 47 is divided by t(1)? 23 Suppose 2*j = -10*p + 14*p - 290, 2*p + j = 147. Calculate the remainder when p is divided by 19*(0 + 2/2). 16 Let x be -5*(-5)/((-25)/(-2)). Suppose -f + 33 = x*f. What is the remainder when 32 is divided by f? 10 Let k = -152 + 222. Calculate the remainder when k is divided by 24. 22 Let n = 14 - 7. Calculate the remainder when n is divided by 2. 1 Let h be (-4 + 0)*-2 - 1. Let x = 16 - h. What is the remainder when x is divided by 4? 1 Let v = -21 + 29. Let p = 2 - 3. Calculate the remainder when v is divided by (3/(-3))/(p/5). 3 Let b be ((-10)/40)/((-1)/28). Suppose 8 = 5*z - b. What is the remainder when 11 is divided by z? 2 Let j(h) = h**3 - 4*h**2 + 3*h. What is the remainder when 275/11 - (3 - 0) is divided by j(4)? 10 Let x(r) = 4*r - 7. Let k be (22/4 + -2)*8. Let q = k - 19. What is the remainder when x(6) is divided by q? 8 Let x = 12 - 2. Let b = 14 - -13. What is the remainder when b is divided by x? 7 Suppose -26 = 2*x - 4*x + 2*o, 3*x = 4*o + 42. Calculate the remainder when 29 is divided by x. 9 Let v(a) = a**3 - 5*a**2 + 4*a - 6. Calculate the remainder when 640/12 + 1/(-3) + 2 is divided by v(5). 13 Suppose 3*y - 186 = -y - 2*w, 3*w - 147 = -3*y. Let i be 0/2 + 1 + -15. Let x = 1 - i. What is the remainder when y is divided by x? 14 Let h(s) = 7*s**2 - 2*s - 6. Calculate the remainder when h(-2) is divided by 15. 11 What is the remainder when (-2)/(-8) + 95/4 is divided by 9? 6 Suppose -l - 8 = -3*l - 4*y, 2*l + 2*y = 6. Suppose 4*s = u + 36, 3*u + 10 = l*s - 8. Calculate the remainder when 35 is divided by s. 8 What is the remainder when 25 is divided by ((-6)/8)/((-2)/24)? 7 Suppose -2*q + 18 = -3*q. Let v = q + 30. Suppose 2*w = 8 + v. What is the remainder when 19 is divided by w? 9 Let p(s) = -10*s**2 - 6*s - 7*s - s**3 + 12 + 5*s. Let n be p(-9). What is the remainder when 1 is divided by 8/6 - 1/n? 0 Let x(w) = -150*w**3 + 2*w**2 + 2*w + 1. What is the remainder when x(-1) is divided by 38? 37 Suppose -8*j = -79 - 89. What is the remainder when 61 is divided by j? 19 Let n be (3 - (2 + -2)) + -19. Let y = n - -21. Calculate the remainder when y is divided by 3. 2 What is the remainder when 17 is divided by 0 + 6 - (-5)/(-5)? 2 Suppose 4*j = 5*b + 83, 4*b + 6 = 2*b. What is the remainder when j is divided by 9? 8 Let j be (-7 + -1)/(-1 + -1). Suppose -8*y = -j*y + 84. Let l = y + 32. Calculate the remainder when 19 is divided by l. 8 Suppose 10*n - 128 = 2*n. Calculate the remainder when 31 is divided by n. 15 Suppose -7*j + 2*j = -125. Calculate the remainder when 123 is divided by j. 23 Suppose -9*d = -64 - 134. What is the remainder when 152 is divided by d? 20 Suppose 5*s = -0*s + 25. Let j(p) = -p**3 - 5*p**2 + 3*p - 1. Suppose 4*r = -5*v - 9 - 25, 4*r = 4*v + 20. What is the remainder when j(v) is divided by s? 2 Let l = -1 - 9. Let g(t) = -t**2 - 12*t - 10. Let y = 10 + -6. What is the remainder when g(l) is divided by y? 2 Suppose 0 = 2*g - 4*g - u + 193, 5*u - 15 = 0. Calculate the remainder when g is divided by 24. 23 Let y be (-1)/3 - 895/15. Let c = 85 + y. Calculate the remainder when c is divided by 7. 4 Let o = 456 - 244. Suppose -4*x - 3*s + o = -2*s, -3*x - s + 159 = 0. Calculate the remainder when x is divided by 14. 11 Let f be 4/14 + 12/7. Let m(g) = g**2 + 2*g - f*g - 3*g + 4. What is the remainder when 14 is divided by m(4)? 6 Suppose -4*r - 2 = -118. What is the remainder when r is divided by 16? 13 Let m(g) = 18*g**2 + 5*g. Calculate the remainder when m(-1) is divided by 6. 1 Let y(z) = 5*z**2 - z + 3. What is the remainder when 39 is divided by y(2)? 18 Suppose 0 = -2*h + 109 + 55. Calculate the remainder when h is divided by 28. 26 Suppose -4*q + 14 = w, 1 + 3 = -4*q. Calculate the remainder when 71 is divided by w. 17 Let m(l) = 3*l**2 - l. Let r be m(1). Suppose 3*s = 2*s + r. Calculate the remainder when 2/((-1)/1)*-1 is divided by s. 0 Suppose 3*l - g = 166, g = l - 5 - 53. What is the remainder when 4 is divided by (1/(-3))/((-6)/l)? 1 Suppose -2*s = 4*p, 2*s - p = -s. Suppose 3*b + 53 = -n, s = n + 4*b + 17 + 39. Let d = n - -73. Calculate the remainder when d is divided by 15. 14 Suppose z - 3*t = 21 + 18, -179 = -5*z - t. Suppose 4*i + 3*q - 36 + 0 = 0, z = 4*i - 4*q. Calculate the remainder when 17 is divided by i. 8 Let t be (-4)/10 + 114/(-15). What is the remainder when 7 is divided by (-17)/(-5) + t/20? 1 Suppose d = -3*n + 10, -2*d + 20 = -4*n + 2*n. What is the remainder when d is divided by 8? 2 Let n(m) = 20*m**2 + 4*m - 5. Calculate the remainder when n(2) is divided by 14. 13 Let m(x) be the third derivative of -x**5/60 - x**4/4 + x**3/6 + 2*x**2. What is the remainder when 28 is divided by m(-3)? 8 Suppose 2 = 3*d - 4. Let p = 5 + d. Let c = 10 + -6. Calculate the remainder when p is divided by c. 3 Suppose -5*w + 55 + 55 = 0. Calculate the remainder when 85 is divided by w. 19 Calculate the remainder when 101 is divided by 15/60 + (-51)/(-4). 10 Calculate the remainder when (0 - 3)/(21/(-483)) is divided by 18. 15 Suppose -5*m + m = -8. Let p be m/5 + 6/10. Suppose 3*w - 4*d - p = 0, 4*w - 3 = -0*d + 5*d. What is the remainder when 20 is divided by w? 6 Suppose -q + 2*d = -3*q + 76, 3*q - 5*d = 74. Let n(j) = j**3 + 6*j**2 + j - 3. Calculate the remainder when q is divided by n(-5). 16 Let o = -4 + 20. Suppose -78 = -3*p + 4*w, 5*w = 2*p - 22 - 23. Calculate the remainder when p is divided by o. 14 Suppose 3*j + 0*j = 108. Suppose 2*g - 3*c - 2 = -0, 2*c - j = -4*g. What is the remainder when 18 is divided by g? 4 Let q = 46 + -20. What is the remainder when q is divided by 7? 5 Suppose 2*s + 289 = 5*s + q, q = -4*s + 386. What is the remainder when s is divided by 33? 31 Let a be 1/(-1 - (-4)/3). Let v(p) = -p**3 + 8*p**2 - 6*p + 6. Calculate the remainder when 2/a - 112/(-3) is divided by v(7). 12 Suppose -5*y + i = -104, -4*y = -7*y - 4*i + 44. What is the remainder when (12/(-18) - (-470)/12)*2 is divided by y? 17 Let a be 1 + -16 - -3 - 3. Let z = a + 17. Calculate the remainder when 3 is divided by z. 1 Let c = -3 - -5. Let d be c/2 - (-480)/4. Suppose d = 4*x + 33. What is the remainder when x is divided by 6? 4 Suppose 0 = 4*n - 176 - 28. Calculate the remainder when n is divided by -1*(3 + 0 + -16). 12 Suppose -3*z - 4*f = -61, -3*z - 3*f + 57 = -0*z. What is the remainder when (-3*3)/(1/(-3)) is divided by z? 12 What is the remainder when 85 is divided by ((-2)/(-3) - 1)*-87? 27 Suppose -4*j - 4 = 0, 237 + 422 = 5*x + j. Suppose -4*h - 44 = -f, -3*f + 2*h - x = -8*f. Calculate the remainder when f is divided by 4/(-6)*-15 - 0. 8 Let f = -32 - -33. Let q = 1 + 1. Calculate the remainder when q is divided by f. 0 Let b(n) = n - 1. Let h be b(4). What is the remainder when -31*(-5 + 12/h) is divided by 16? 15 Suppose -4*l + 5*s + 2 = -15, 0 = -s + 3. Suppose 80 + l = 2*z. Suppose -d + z = d. Calculate the remainder when d is divided by 12. 10 Suppose -8*f = -4*f + 12, -170 = -5*m - 5*f. What is the remainder when m is divided by 13? 11 Let k(o) be the first derivative of o**4/4 + 10*o**3/3 + 3*o**2 - 13*o - 2. Calculate the remainder when 41 is divided by k(-9). 13 Let s be 2/(-9) - 634/(-18). What is the remainder when 4/(-14) + 2565/s is divided by 19? 16 Let j be (-4)/12 + 344/6. Suppose -2*h + 183 - j = 0. Suppose -31 = -2*n + h. What is the remainder when n is divided by 16? 15 Let l(j) = 5*j**2 - 2*j + 1. What is the remainder when l(2) is divided by 5? 2 Suppose 0 = 5*i - 10, 5*x - 4*i + 8*i = 18. Suppose x + 4 = t. Suppose -3*h + t = -6. What is the remainder when h is divided by 2? 0 Suppose -3*i - 3*i + 552 = 0.
{ "pile_set_name": "DM Mathematics" }
t i = 13 - 15. Suppose -3*v = v - 64. Let k be v/(-7) + (0 - -2). What is the nearest to k in 5, i, -1? -1 Let u = 0.4 + 2.6. What is the nearest to 1 in 0.2, u, 4/7? 4/7 Let l = -3.572 + -0.358. Let x = 0.07 - l. Let k be (6/16)/((-75)/(-20)). What is the closest to 0.1 in -0.4, x, k? k Let z be (-7)/(7/2*4/14). What is the nearest to -1 in z, 1, 3? 1 Let b be (-75)/20 + (5 - 1). What is the closest to b in -2/9, -0.4, 0.1? 0.1 Let q = 2.96 + 0.04. Let z = -39 - -118/3. What is the closest to z in 1/4, -2, q? 1/4 Let u be (-6)/4*8/2. Let i be ((-2)/u)/((-2)/(-3)). What is the nearest to -1/2 in i, -0.1, 3? -0.1 Let i = -8.5 - -8. Let t be 0/(-7) - (-1)/(-4). Which is the closest to 0? (a) t (b) 3/7 (c) i a Let i = 15.4 - 15. Let s = 0.2 - i. Which is the closest to -1/2? (a) s (b) 4 (c) 0 a Suppose -5*g + 2*c = 397, 2*g + 0*c - 3*c = -161. Let k = 235/3 + g. What is the closest to -1/4 in k, 3, -2? k Let g = -1 + 3. Suppose -3*d - d + 41 = 5*f, -3*f = -4*d + 1. Let a be 0/2 - (d + -4). What is the nearest to 0.1 in a, -2, g? a Suppose -2*j + 81 = 11. Let o be (-24)/j + 4/14. Let r = -0.28 + 5.28. Which is the closest to 0.1? (a) o (b) r (c) -5 a Let i = 0.7 + -0.5. What is the nearest to 0 in -5, -2, i? i Let c be (-4)/6*5 + 3. Let z be (-144)/(-20) + -2 + -4. What is the closest to 1 in z, -0.6, c? z Let d = 0.044 - -0.956. Which is the closest to 1? (a) 0 (b) d (c) -2/11 b Let u = 1 - 0.6. Suppose 15*f - 46*f = 0. Which is the closest to 1? (a) f (b) u (c) -3 b Let c(d) = d**3 + 2*d**2 - d - 1. Let w be c(-1). Let p be (-5)/30 + w/3. Let z = -3.03 - -0.03. What is the nearest to -0.2 in -5, p, z? p Let w be ((-9)/6)/((9/(-3))/6). Which is the closest to 0? (a) w (b) 0.13 (c) -1 b Let p = -3 + 3.1. Suppose 2*q + 2*q = 4. Let i be (-11)/(-40) - ((-282)/(-48) + -6). What is the closest to p in 4, q, i? i Let x be (-2)/(-7) + (-93)/105. What is the closest to -1 in x, -3/4, -0.4? -3/4 Let y = 1 + -0.8. Let l = y - 0.1. Let c = 61 - 64. What is the nearest to l in c, -0.5, 0.4? 0.4 Let d = 0.07 - 0.27. Let q = -25/46 + 1/23. What is the nearest to d in q, 1/3, 1/6? q Let r = 1 + -1. Suppose 3*t - 8*t + 20 = r, f - 11 = -5*t. Let n be (f/(-6))/(3*-1). What is the closest to -0.2 in 4, n, -2/3? n Let r = 40 - 48.1. Let q = r - -2.1. What is the closest to q in 4, -0.5, 4/5? -0.5 Suppose -2*f - 16*f - 72 = 0. Which is the closest to 1? (a) 4 (b) f (c) 3 c Let q = 0.32 - 0.32. What is the closest to q in 2, -5, -8? 2 Let q = -2.06 - -0.06. Let s = -13 - -17. Which is the nearest to 2/5? (a) q (b) s (c) -4 a Let g = 0.08 + -0.08. Let h = -5 - g. Which is the nearest to -0.1? (a) 0.1 (b) -0.4 (c) h a Let n = 5 + -5.3. Let i = -3 - 1. Let s = -9 - i. What is the nearest to -0.1 in n, s, -2/5? n Let v = 1.99 - -0.01. Let y = 4 + 3. Let g = y - 11. Which is the closest to v? (a) g (b) 5 (c) 3 c Let k = 5.5 - 5. Let f = -0.01 - -0.03. Let u = f - -3.98. What is the closest to 0.1 in k, -5, u? k Let s = -18.01 + 17. Let m = s + 0.01. Suppose 11 - 1 = 2*o. Which is the closest to m? (a) o (b) 0 (c) -1 c Let r = 43 + -43. Which is the closest to -1/2? (a) 0.2 (b) 3 (c) r c Let f be 2 + 1/1 - (-92)/(-24). What is the nearest to -0.3 in -6, f, 0.2? 0.2 Let f = 1.972 - -0.028. What is the nearest to -1 in -0.2, f, -2? -0.2 Suppose 5*n - 3*q - 18 = 0, -3*n = -2*n - 2*q - 5. Which is the nearest to -0.1? (a) 0.2 (b) n (c) 0.5 a Let w = -168.2 - -168. What is the nearest to -2/17 in 0.4, 4, w? w Let u = 8 - 3. Let f = u - 4. Which is the closest to f? (a) -3/5 (b) 0 (c) -2 b Suppose 0 = r - 6*r - 5. Let l = -19 - -325/17. Which is the nearest to -3? (a) 4 (b) r (c) l b Let u = -0.3 - 0.3. Let x = 7.2 - 6.8. What is the nearest to 0 in x, u, -2/9? -2/9 Let q = 12.87 + 0.13. Let n = q + -13.5. What is the closest to 0.1 in 1, n, -2/5? -2/5 Let l be (-465)/(-165) - (-1 + 4). What is the closest to 0 in 4/25, 2, l? 4/25 Let r = 0.007 - 4.607. Let g = 5 + r. Which is the nearest to 0? (a) 1/4 (b) 3/7 (c) g a Let p = -72 - -38. Let h = 37.8 + p. Let q = h + -4. What is the nearest to 0.1 in 5, 0, q? 0 Let a = -11 - -75/7. What is the nearest to a in 2, -4, 2/11? 2/11 Let w = 0.26 + 7.04. Let x = w - 7. What is the nearest to 2/5 in x, -1, 5/2? x Suppose 355 = 4*o + 5*r - 735, -3*o - 4*r = -817. Let s = -3577/13 + o. Let w = -831/8 - -104. Which is the closest to 1? (a) s (b) -1 (c) w c Let k = -208/207 + 18/23. Which is the closest to k? (a) 0.3 (b) 0.01 (c) -4 b Let s = 0.681 + -0.781. Let f = -1.2 - -0.2. What is the closest to f in -2, s, 0.5? s Let h = -100 - -100. What is the nearest to -1 in -3/8, -24, h? -3/8 Let n = 8 + -7.8. Let j = -0.37 - 0.03. Let h = 77 - 1465/19. Which is the closest to n? (a) -1/4 (b) j (c) h c Let g = -5.8 - -0.8. Suppose -3*v + 0*v = -3. Which is the nearest to v? (a) g (b) -4 (c) 0.3 c Let f be 2/11 - 52/44. Let o = -1 - -2. What is the nearest to f in 2, o, 2/13? 2/13 Suppose -3*t + 10 = 1. Let h(y) = y**2 - 4*y. Let f be h(4). Let n = 194.9 - 195. Which is the nearest to f? (a) t (b) 1/5 (c) n c Let l = -0.4 - -0.2. Suppose -6*k - 4*k + 7*k = 0. Suppose 4*y + 1 = 5*u - 13, u = -5*y - 3. What is the nearest to k in -4, l, u? l Let v = -0.23 + 4.23. Let o = -0.5 + 0.2. Which is the closest to 2? (a) o (b) 3/2 (c) v b Let s = -0.1 - -0.3. Let q be (4/10)/((-4)/6). Let r be (4*(-1)/4)/(0 - -1). What is the closest to q in s, -5, r? r Let j = -99 + 99. Which is the closest to -3? (a) 0.2 (b) -0.4 (c) j b Let j be (-4)/14*35/25. What is the nearest to j in -0.4, -0.3, 1.4? -0.4 Let m = -0.32 - -0.15. Let b = -1.83 + m. What is the closest to 2 in b, 0.2, 0? 0.2 Let q be 3 - (4/(-30) + 3). Let l = 47 + -139/3. What is the nearest to l in 1/3, q, 0.2? 1/3 Let x = -1 + 4. Let b be 201/(-938) + 5/2 + -2. What is the closest to b in -0.3, x, -1/3? -0.3 Let u be (-2)/18*(-11 + 13). What is the closest to -2/3 in -1, u, 1? -1 Let d = 8 + -39/5. What is the nearest to 1/2 in d, 2/7, -2/7? 2/7 Let u = 8 + -11. Let p = 0.78 - 0.78. Which is the closest to p? (a) 1/2 (b) u (c) 2/3 a Let f = -4.6 - 0.4. Let a = 0 + -1. Let b(w) = 2*w**3 - w**2 - 2*w - 1. Let m be b(a). What is the closest to 1 in 1/11, m, f? 1/11 Let a = 88 + -88. What is the closest to a in 3, 5, -22? 3 Let i = 0.36 - 4.76. Let x = i + -0.6. Let h = -1.1 - -1. Which is the closest to -1? (a) x (b) -2 (c) h c Let o = -2.8 + 3. Which is the closest to 2? (a) -3 (b) -1 (c) o c Let w(g) = g + 1. Let v be w(-2). Let a = -81 + 97.1. Let u = -16 + a. What is the nearest to u in 0.5, v, -5? 0.5 Let a = -0.5 + -2. Let n = 2 + a. What is the nearest to 0.1 in -4/3, 2, n? n Let j(k) = -k**2 - 7*k - 9. Let a be j(-6). What is the closest to 3 in 0.2, a, -4? 0.2 Let v be ((-2)/12)/((-2)/3). Let l = 263/184 - 30/23. Let s = 3.5 + -3. Which is the nearest to v? (a) 0.2 (b) s (c) l a Let m be 39633/930 - -1*1. Let h = 218/5 - m. Let n = -57/310 + h. What is the nearest to -1 in n, -3, 3/2? n Let k = 3 - 3.5. Let r = -3 - -2.9. Let x(n) = n**3 + 13*n**2 - 30*n. Let p be x(-15). Which is the closest to 0.1? (a) k (b) r (c) p c Let n = 5/4 - 2. Let v = -3.6 - -0.6. Which is the nearest to v? (a) -5 (b) 0 (c) n a Let s = 16.6 - 2.6. Let f = -14.07 + s. Let p = f + -2.93. Which is the closest to p? (a) 5 (b) 0.1 (c) -3 c Let h = 9.1 + -9. Which is the nearest to h? (a) -2/23 (b) 2 (c) -4 a Let l = 0.04 - 1.04. Let n = 313/9 - 35. Which is the closest to l? (a) 0.3 (b) 2 (c) n c Let h(t) = t**3 + t + 2. Let q be h(-1). Let v be ((-6)/4)/((-1)/16). Let y = v + -51/2. What is the closest to q in 1/6, -0.1, y? -0.1 Let l = -92 - -91. What is the nearest to -3 in l, -3/4, 0.5? l Let p = -3.4 - -3. Let t(h) = h**3 + 9*h**2. Let n be t(-9). What is the closest to n in 1, p, 0.5? p Let l be 3/(-9) - (-2)/6. Let x = l + 1. Suppose 4*p - 10 = -2*y, 5 = 3*p - x. What is the nearest to 1 in -2/3, -5, y? y Let a = 70 + -631/9. What is the closest to 1 in 0.4, a, 5? 0.4 Let y = 0.7 - 0.5. Which is the nearest to y? (a) 2 (b) 1/7 (c) 1 b Let x = -2.8 + -0.2. Let t = 5 + x. Which is the closest to 0? (a) 0.2 (b) 1/6 (c) t b Let b = 54 + -59. What is the nearest to -1 in b, -4, 1/4? 1/4 Let i = -11 + 11. What is the
{ "pile_set_name": "DM Mathematics" }
What is the fourth smallest value in -3, n, 7, f? 7 Let t = 103150/77 - 9376/7. Suppose g - 4 = -4*n - 3*g, 0 = -3*n - g - 5. What is the third smallest value in t, -4, n, 3? t Let w = -0.0566 + -12.7534. Let f = w + -0.19. Let s = -0.8 + 1. What is the second smallest value in f, -1, s? -1 Let l = 194.54 - 198. Let q = -3.4 - l. What is the third biggest value in -0.7, -4, q? -4 Let r = 140 - 1123/8. Let q be (-20)/(-14) - 456/378. What is the second smallest value in -2, r, -1, q? -1 Let v = -23 - -5.6. Let d = -10.4 - v. What is the second biggest value in 2/9, d, 3? 3 Let h be 12 + (12834/(-48))/23. Let w be 11/11 + (-4)/7. Which is the third biggest value? (a) h (b) -0.1 (c) -0.4 (d) w b Let j = -15394.3 - -15394. Which is the third smallest value? (a) j (b) -1/7 (c) 59 c Let r = 2.403 + -6.403. Which is the third biggest value? (a) 2 (b) -0.3 (c) r (d) 2/3 b Let k = 1453 - 1452.789. Which is the third smallest value? (a) 0.3 (b) -0.1 (c) k a Suppose -u - 3*u - 276 = 0. Let i(z) = -z**3 - 61*z**2 + 60*z - 47. Let l be i(-62). Let g = l + u. What is the third smallest value in 5, -4, g? g Let i = -2/1905 + 637/1905. What is the smallest value in 0.5, 0.1, i, -0.2, 2/11? -0.2 Let c = -1668 + 1603. What is the third biggest value in c, 5, 1? c Let y = 2911 + -8735/3. What is the third smallest value in y, 0.9, 1? 1 Let g = -131.2 - -133.2. Which is the biggest value? (a) -1/5 (b) g (c) 0.1 (d) 2/11 b Let s = -1564/11 + 142. Let f(z) = 3*z**2 + 3*z + 3. Let w be f(-1). What is the second smallest value in 6, s, -5, w? s Let h = -44/3 + 15. Let v = -67285 - -67284.6. What is the fourth smallest value in v, h, 5/7, 1/2? 5/7 Let q = -368 + 368.0163. Let j = 0.1323 - q. Which is the biggest value? (a) j (b) 2/9 (c) 0.3 c Suppose -4*m + 106 = 82. Let l be m/(-2)*130/15. Which is the second smallest value? (a) -1/7 (b) -1/5 (c) l b Let o = -5/2403 - -2413/4806. Which is the biggest value? (a) o (b) -2/5 (c) 21/4 c Let f = -9.5 + 9. What is the fifth smallest value in -2/5, 74, 1/3, f, 1? 74 Let o = -7.422 + 2.422. What is the second smallest value in 0.1, -3, 1/2, o? -3 Let h = -33.43 + 33.5. Let r = 0.16 - h. Which is the biggest value? (a) -1 (b) 0.3 (c) r b Let x = 13036 + -13037. What is the second smallest value in x, 1/9, -181, -0.2? x Suppose -17*x + 5*y + 47 = -13*x, y + 10 = x. Which is the fifth biggest value? (a) -2 (b) 2/43 (c) -3 (d) x (e) 0.9 c Let p = 28.9 + -31.76. Let o = 2.7 + p. Which is the second biggest value? (a) 1 (b) -4 (c) o c Let q = -60.7 + 69. Let n = -11.3 + q. What is the smallest value in 0.5, n, 4/7, -2? n Let h = 4279 + -4274. Which is the third biggest value? (a) 4/7 (b) h (c) -3 (d) 0.01 (e) -56 d Let u = -7.92 - -41.22. Let m = u - 32.9. What is the third smallest value in m, -0.4, -1, -3/7? -0.4 Let g(m) = -9*m**2 + 5*m - 14. Let i = 38 - 35. Let o be g(i). Let q be -3 + ((-2)/o*-2 - -3). Which is the second biggest value? (a) -1/3 (b) q (c) 4 b Let k = 27.969 - -0.031. Let s = 22899 - 22898.8. Which is the third smallest value? (a) -5 (b) k (c) s b Let o = -71.10129 - -0.08129. Let y = -71 - o. Which is the third biggest value? (a) 1/5 (b) -6 (c) y b Let f = -8946 - -8944. Which is the second biggest value? (a) -5 (b) 3 (c) -3 (d) f (e) -0.18 e Let a = 5.42 - -451.58. Let u = a - 462. What is the second smallest value in 3, u, -3/4, 14? -3/4 Let j(s) = -4*s + 47. Let i be j(14). Let v = 20.74 + -18.74. What is the biggest value in v, i, -4? v Let y = -9010.825 - -9011. What is the second biggest value in y, 5, -1, -2/15, -2? y Let u be (-1776)/120 - -3*5. Which is the fourth smallest value? (a) u (b) 9 (c) -0.5 (d) -0.3 (e) -1/3 a Let q = -65693.062 + 65640. Let c = q + 0.062. What is the biggest value in -4, -1, c? -1 Let x = 7073 - 7068. What is the fourth biggest value in x, -3, 25/2, 0? -3 Let d = -0.0644 + -0.2936. Let m = d - 0.042. What is the biggest value in -310, -2, m? m Suppose -26 = -2*l - 2*z, 4*z - 34 = -2*l + z. Which is the third biggest value? (a) -7 (b) -0.03 (c) 0.02 (d) l (e) -2 b Suppose -153*h + 1704 = 131*h. Which is the biggest value? (a) 1 (b) h (c) 0.5 (d) 2/9 (e) 4 b Let o = -581 - -877. Let m = 294.93 - o. Which is the second biggest value? (a) 6/7 (b) m (c) -5 b Let d = -0.0473 - -3.0473. Suppose -5*g - 59 + 234 = 0. What is the second biggest value in g, d, -2/15, 2/3? d Let j = 471.8 + -471.71. What is the second smallest value in j, -5, -3/4, 0.1? -3/4 Let i = -0.7087 + 0.2087. Which is the third smallest value? (a) 11 (b) i (c) -10 a Let s = 0.03337 - 2.53337. Which is the third smallest value? (a) 14 (b) 0 (c) 3/4 (d) 1/3 (e) s d Suppose q + 0 = 3. Let r be (-48620)/1500 + (-2)/(-25). Let d = -3595/111 - r. Which is the third biggest value? (a) 2 (b) d (c) q b Let o = -0.305 - 0.095. Let n = -0.2 + 2.2. Let j = 160 + -161. Which is the third smallest value? (a) o (b) n (c) j b Let h be ((-2)/7)/((-3)/7). Let i = -25710 - -25710.5. Which is the second biggest value? (a) h (b) -0.2 (c) 2 (d) i a Let p = 10.7 - -47.3. Let s be (-20)/170 + (-228)/(-18)*(-10 + 1372/136). Which is the third biggest value? (a) s (b) p (c) -2/13 c Let p(v) = -v - 3*v + 4079*v**2 - 4078*v**2 - 7 - 5*v. Let j be p(4). Suppose 2*h = -3*l + 4, 0 = -4*l + l. Which is the smallest value? (a) j (b) 3/5 (c) h a Let k = 1.98 + -3.98. Let n = 8 + -38. Let j = n - -34. Which is the third smallest value? (a) -0.3 (b) j (c) k b Let c = 25990 + -25987. Let q be -2 + (-1)/11*-23. What is the second biggest value in q, -2, 12, c? c Let f = -0.2014 - -2.2014. What is the third smallest value in f, 6/7, 3, -1? f Let i = -110 - -91. Let u be (19/i)/((-2)/4). Let j = 0.05 - -0.35. What is the biggest value in u, 0.04, j? u Let v = -33926 + 33925.87. Which is the third biggest value? (a) 0.4 (b) -0.3 (c) 3 (d) v (e) -0.18 d Let i be 889/3179 - 135/495. Which is the smallest value? (a) i (b) -1/5 (c) 4 (d) -3/5 (e) 0.7 d Let o(g) = g**3 - g**2 + g + 2. Let s be o(0). Let y = -106 + 105.92. Let n be (-2)/3 - (-8)/18. What is the biggest value in n, s, y? s Let t = 2377 + -2375. What is the fourth biggest value in 12/7, 2/7, t, -3? -3 Let t be (-3 - 1) + 1*(5 - (-4 - -6)). Let w = -7 - -7. What is the smallest value in 0.4, w, t? t Let b be (2/(-10) - 6/(-10))*175/3395. What is the third biggest value in b, 1/5, 3, -0.4? b Let r = -34313/5 - -6863. Let b be 0 + (-3)/531*-3. Let q = b + 54/295. What is the third smallest value in q, 2/7, r? r Let p = -328.28 + 329. Let n = 0.52 - p. Which is the third smallest value? (a) n (b) -0.3 (c) 10 (d) -1 a Let g = 340 - 335. Let k = -54.045 - -0.045. Let m = k + 58. What is the second smallest value in -0.1, -4/3, g, m? -0.1 Suppose 0*v = 15*v + 180. Let f be (14/(-245))/(v/(-10) + -1). Let h = -0.13 + -4.87. What is the second smallest value in f, h, 3/7? f Let g = -896 - 60. Let v = g - -955.9. Which is the third smallest value? (a) 2/13 (b) v (c) 12 (d) -2/7 a Suppose -1829*w + 50148 = -38*w. Let i = 0.01 - 3.01. Which is the smallest value? (a) 3 (b) w (c) i c Let x = 0.32 - 1.17. Let d = x - 0.15. Let w be (7/35)/((-3)/(-5)). Which is the second smallest value? (a) w (b) d (c) 3/4 a Let a = -0.4 - -17.4. Let r = a - 25. Let s be 8/7*(314/92 + 172/1978). What is the third smallest value in -5, s, r? s Let g = -1/223 + 673/892. Let x = -3307.8 - -3308. What is the second smallest value in g, 3/7, x, 6? 3/7 Let x = 195 - 195.173. Let h = x - -0.673. Which is the third biggest value? (a) -0.3 (b) 5 (c) h (d) -5 a Let u = 87 - 84. Let j = -3 - -3. Let s = -7.72 + 3.72. What is the biggest value in j, s, u? u Let c = -7.7 + 8. Suppose 2 = -9*s + 11*s. Let q be (44/(-42) + s)*(-4 - -7). What is the third smallest value in c, q, 0? c Let q = -0.1069 - -21.1069. Which is the biggest value? (a) q (b) 2 (c) -1 a Let p = 2438.2 - 2438.28. Let t = -0.7 - -0.1. Let j = t + 0.1. What is the biggest value in p, 0.3, j? 0.3 Let w(f) = -322*f + 16749. Let l be w(52). Let q = 0.8 + 4.2. Let o = 5.4 - q. Which is the second smallest value? (a) -2/15 (b) l (c) -0.4 (d) o a Let k = -1272 + 1277. What is the second smallest value in 10, -0.5, k, -6? -0.5 Let x
{ "pile_set_name": "DM Mathematics" }
ked without replacement from {h: 1, u: 1, a: 5, c: 4, p: 3, w: 3}. What is prob of sequence pcwc? 9/4760 Three letters picked without replacement from {a: 3}. Give prob of sequence aaa. 1 Calculate prob of sequence hhj when three letters picked without replacement from {q: 1, h: 3, j: 1}. 1/10 Calculate prob of sequence jx when two letters picked without replacement from jsxwtsx. 1/21 What is prob of sequence rd when two letters picked without replacement from frfffrfddrxwfrrfr? 3/68 Four letters picked without replacement from ojstuttjiuuojujijtut. What is prob of sequence jtot? 5/2907 Three letters picked without replacement from cqvvqcniccvcc. What is prob of sequence nqv? 1/286 Two letters picked without replacement from aaaafaafaafa. Give prob of sequence af. 9/44 Calculate prob of sequence cooe when four letters picked without replacement from {o: 4, c: 2, e: 3}. 1/42 Four letters picked without replacement from {y: 9, t: 3, u: 4}. Give prob of sequence uytt. 9/1820 Three letters picked without replacement from {f: 4, t: 1, b: 1, s: 2, g: 1}. Give prob of sequence sgf. 1/63 Four letters picked without replacement from nnniinnrrnninnninnin. What is prob of sequence rrin? 13/11628 Calculate prob of sequence ll when two letters picked without replacement from {g: 3, l: 3}. 1/5 Three letters picked without replacement from qqqtqqtqqqqqq. Give prob of sequence tqt. 1/78 What is prob of sequence tp when two letters picked without replacement from {p: 5, u: 5, t: 4}? 10/91 Two letters picked without replacement from {b: 1, j: 1, d: 2, i: 1}. What is prob of sequence db? 1/10 Two letters picked without replacement from fwnffnntjwwffn. What is prob of sequence fj? 5/182 Four letters picked without replacement from {z: 9, k: 5, m: 2}. What is prob of sequence zmkk? 3/364 Four letters picked without replacement from xjxxvxkxvxxxx. Give prob of sequence vjkv. 1/8580 What is prob of sequence fb when two letters picked without replacement from bbgkwgxf? 1/28 What is prob of sequence imim when four letters picked without replacement from iimmimmmimm? 7/110 Four letters picked without replacement from iiuukgkiiigi. Give prob of sequence gkuk. 1/1485 What is prob of sequence qb when two letters picked without replacement from ombmbomoomomqob? 1/70 What is prob of sequence mhbj when four letters picked without replacement from {m: 1, b: 4, e: 5, j: 1, w: 5, h: 1}? 1/14280 Calculate prob of sequence ph when two letters picked without replacement from ihpbs. 1/20 What is prob of sequence upp when three letters picked without replacement from pup? 1/3 What is prob of sequence mmmm when four letters picked without replacement from mmmm? 1 Four letters picked without replacement from {e: 2, v: 10}. What is prob of sequence vvvv? 14/33 Three letters picked without replacement from {i: 1, x: 1, m: 1, d: 3, l: 6}. Give prob of sequence ddm. 1/220 Four letters picked without replacement from ovooavovaovv. What is prob of sequence aoov? 5/297 Two letters picked without replacement from xoq. What is prob of sequence ox? 1/6 Three letters picked without replacement from dpipppkikpiidiiiip. Give prob of sequence ipi. 7/102 Calculate prob of sequence eep when three letters picked without replacement from {k: 8, e: 2, p: 3, u: 6}. 1/969 What is prob of sequence ub when two letters picked without replacement from {b: 3, n: 6, h: 5, u: 3}? 9/272 Three letters picked without replacement from {l: 1, h: 2, d: 1, q: 1}. Give prob of sequence lhd. 1/30 Two letters picked without replacement from bbjjjbbjjjjjjjjjjbb. What is prob of sequence bj? 13/57 Two letters picked without replacement from vvvevnnve. What is prob of sequence en? 1/18 What is prob of sequence qq when two letters picked without replacement from ppqppppppppppqpppppp? 1/190 Four letters picked without replacement from vvvzvvzvvvvz. What is prob of sequence zzvz? 1/220 Two letters picked without replacement from gfauy. Give prob of sequence fy. 1/20 Calculate prob of sequence xax when three letters picked without replacement from zzxxjxyayyk. 1/165 Three letters picked without replacement from {t: 1, p: 2, w: 1, y: 1}. Give prob of sequence ttt. 0 Two letters picked without replacement from {m: 1, w: 1, c: 2, q: 1}. What is prob of sequence cw? 1/10 What is prob of sequence fdd when three letters picked without replacement from {n: 1, f: 2, q: 1, d: 5}? 5/63 Three letters picked without replacement from rrrrrrrrrr. Give prob of sequence rrr. 1 What is prob of sequence jr when two letters picked without replacement from rrjrjrjrrr? 7/30 Four letters picked without replacement from cfupccciicucciukk. What is prob of sequence uiuf? 3/9520 Four letters picked without replacement from lffflfllffffflff. What is prob of sequence lfff? 165/1456 Three letters picked without replacement from atrbtttat. What is prob of sequence bar? 1/252 Calculate prob of sequence xxtt when four letters picked without replacement from {t: 3, x: 5, q: 4, g: 4}. 1/364 Calculate prob of sequence rmr when three letters picked without replacement from rrpwmem. 2/105 Three letters picked without replacement from yjjlaaaajjyacaaa. Give prob of sequence ayj. 2/105 Three letters picked without replacement from llhylylllllyylyylhl. Give prob of sequence hly. 22/969 Four letters picked without replacement from rrxccxxrrhrrra. Give prob of sequence cxrc. 1/572 Calculate prob of sequence fx when two letters picked without replacement from {x: 18, f: 2}. 9/95 Three letters picked without replacement from vwkdmzm. What is prob of sequence mdv? 1/105 What is prob of sequence wg when two letters picked without replacement from {g: 3, w: 3}? 3/10 What is prob of sequence yfc when three letters picked without replacement from ccccfyyffycycyucy? 21/680 Calculate prob of sequence sns when three letters picked without replacement from {n: 8, s: 6, v: 1}. 8/91 Three letters picked without replacement from rreburjrrrbkurj. Give prob of sequence ruu. 1/195 Four letters picked without replacement from {j: 1, t: 5, x: 2, h: 4, c: 1, a: 2}. What is prob of sequence xtct? 1/819 Four letters picked without replacement from clqltctttttccclmmctl. What is prob of sequence mctm? 7/9690 Four letters picked without replacement from {f: 3, k: 3}. Give prob of sequence fkff. 1/20 Calculate prob of sequence lm when two letters picked without replacement from {l: 5, m: 3}. 15/56 Three letters picked without replacement from obboozoooozooooboobz. Give prob of sequence bzo. 13/570 What is prob of sequence qeq when three letters picked without replacement from qfqqepqqfqfqpqqfffqf? 1/76 Two letters picked without replacement from {e: 3, m: 1, a: 1, z: 5}. What is prob of sequence ez? 1/6 Two letters picked without replacement from {d: 2, n: 1, h: 2, v: 1}. What is prob of sequence nv? 1/30 Calculate prob of sequence ymy when three letters picked without replacement from {y: 2, m: 5}. 1/21 Three letters picked without replacement from tevttttmvevem. Give prob of sequence mtm. 5/858 What is prob of sequence gxi when three letters picked without replacement from {x: 1, v: 1, g: 1, i: 1, y: 1}? 1/60 Three letters picked without replacement from ununuuunntiuu. What is prob of sequence uin? 7/429 Calculate prob of sequence yxya when four letters picked without replacement from {a: 1, y: 7, d: 4, x: 2, e: 1}. 1/390 Four letters picked without replacement from sdzzzzsssdzzzzzz. Give prob of sequence dzds. 1/546 Two letters picked without replacement from idiwywi. What is prob of sequence ii? 1/7 Calculate prob of sequence xhxy when four letters picked without replacement from {a: 1, s: 3, h: 2, x: 4, y: 1}. 1/330 What is prob of sequence ye when two letters picked without replacement from {y: 7, e: 2}? 7/36 Three letters picked without replacement from {e: 4, d: 2}. What is prob of sequence eed? 1/5 Two letters picked without replacement from {n: 1, c: 1, q: 7, p: 4, j: 4}. What is prob of sequence pq? 7/68 Three letters picked without replacement from itzmrtt. Give prob of sequence rim. 1/210 What is prob of sequence nnp when three letters picked without replacement from {s: 4, p: 1, n: 2}? 1/105 Three letters picked without replacement from tnntvnvvtvvnvv. Give prob of sequence vt
{ "pile_set_name": "DM Mathematics" }
n base 12, what is -170 - 27? -197 In base 16, what is 0 + -d? -d In base 4, what is 20 + -30131? -30111 In base 11, what is -25 - 16? -40 In base 8, what is 34 - -102? 136 In base 14, what is 2c6 + 2? 2c8 In base 9, what is -1 + -6? -7 In base 12, what is 0 - 268b? -268b In base 7, what is -1114 - 2? -1116 In base 11, what is 2 + 2a6? 2a8 In base 14, what is 5 - 308? -303 In base 9, what is 6 + 604? 611 In base 2, what is -100001100 + -1111? -100011011 In base 9, what is 4 + -205? -201 In base 14, what is -23 + -21? -44 In base 4, what is -113 - -1021? 302 In base 10, what is -84 + 34? -50 In base 5, what is 1 + -14434? -14433 In base 12, what is 17 - b3? -98 In base 10, what is -32 + -11? -43 In base 8, what is 104 + -3? 101 In base 9, what is -12 + 84? 72 In base 9, what is 46 + 126? 173 In base 11, what is 27a + 1? 280 In base 15, what is 49 + -3? 46 In base 11, what is 0 + -a75? -a75 In base 12, what is -2 + -34? -36 In base 13, what is -98a4 - 3? -98a7 In base 13, what is 1 + -214? -213 In base 4, what is 10 + 110333? 111003 In base 3, what is 0 - -202022? 202022 In base 8, what is -5130 + 2? -5126 In base 15, what is 52c - 2? 52a In base 5, what is 10 - 0? 10 In base 3, what is -11 + -100020? -100101 In base 2, what is -100 - 10101? -11001 In base 14, what is 4 + -4b1? -4ab In base 14, what is 7 + -d? -6 In base 2, what is 1111101 - -100? 10000001 In base 15, what is d17 + -2? d15 In base 6, what is -2 + 34431? 34425 In base 8, what is 35 - -6? 43 In base 14, what is -5 - 19b? -1a2 In base 13, what is 33 - 8a? -57 In base 14, what is 2 - 4a5? -4a3 In base 7, what is 2 - 150? -145 In base 13, what is 342 + -10? 332 In base 16, what is -8 - -34? 2c In base 5, what is -10 - 2313? -2323 In base 15, what is 2 + 11? 13 In base 15, what is -1140 - 3? -1143 In base 2, what is 101 + 1100110? 1101011 In base 12, what is -1 - 103? -104 In base 12, what is 2 - -129? 12b In base 15, what is -2a9 + 1? -2a8 In base 12, what is -6 - 6? -10 In base 15, what is -6b + -2? -6d In base 16, what is 9 + -23? -1a In base 9, what is -3 - 1731? -1734 In base 8, what is 4 + -573? -567 In base 2, what is 100111 - 111? 100000 In base 5, what is 1041014 + 10? 1041024 In base 16, what is 572 - 1? 571 In base 14, what is 0 + 113d? 113d In base 5, what is -21 + 14011? 13440 In base 14, what is -2 + 127? 125 In base 10, what is -3580 - 5? -3585 In base 3, what is 11110 + -201? 10202 In base 8, what is -24 - -31? 5 In base 6, what is 1 + 15300? 15301 In base 8, what is -5 - -27? 22 In base 6, what is 1525 - -3? 1532 In base 6, what is -545 - -12? -533 In base 10, what is 62 - -17? 79 In base 10, what is -18515 - 3? -18518 In base 9, what is 5 - 12? -6 In base 12, what is -7ba - 4? -802 In base 2, what is 11110111110010 + -100? 11110111101110 In base 7, what is 51 + -4? 44 In base 4, what is -10 - -102? 32 In base 16, what is -54 - 1? -55 In base 6, what is 242 + 241? 523 In base 16, what is 72d + -2? 72b In base 8, what is 42 + -55? -13 In base 4, what is 1 - 232? -231 In base 5, what is -31 + -14? -100 In base 7, what is -423 + -146? -602 In base 4, what is 2300 - 1132? 1102 In base 4, what is -3311 - 2? -3313 In base 11, what is 0 - -1251? 1251 In base 12, what is -70 + 5? -67 In base 10, what is -3311 + 4? -3307 In base 3, what is -2022 + -1111? -10210 In base 12, what is 140 + -1? 13b In base 5, what is 1310 + 1? 1311 In base 5, what is 2 + -1133? -1131 In base 10, what is 0 - 522? -522 In base 15, what is -41c - 2? -41e In base 2, what is 101011011000 + 0? 101011011000 In base 9, what is -3 + -13? -16 In base 16, what is -81 - -3? -7e In base 13, what is 5169 + 5? 5171 In base 14, what is 5 + -96? -91 In base 7, what is -362 + 5? -354 In base 16, what is 0 - 1eb? -1eb In base 9, what is 202 + 12? 214 In base 13, what is 9 - 3? 6 In base 9, what is -108 - -5? -103 In base 8, what is -2763 - -3? -2760 In base 14, what is 25 + -2a? -5 In base 4, what is 22213 - -21? 22300 In base 10, what is 7 + 2836? 2843 In base 10, what is -1734 - -2? -1732 In base 5, what is 22 - 242? -220 In base 12, what is 72 + -5? 69 In base 12, what is -36b9 - -4? -36b5 In base 14, what is -16 - 2? -18 In base 10, what is 278 + 0? 278 In base 2, what is -100110000 + -11? -100110011 In base 4, what is 332 + -1? 331 In base 4, what is -30 + 21312? 21222 In base 12, what is 0 + -20? -20 In base 4, what is -3 + 1122? 1113 In base 5, what is 2 + 1243? 1300 In base 4, what is -2 - -301? 233 In base 6, what is -30351 - -1? -30350 In base 12, what is -4603 + 1? -4602 In base 3, what is -11 - 20220? -21001 In base 4, what is 2 + -13022? -13020 In base 2, what is -111000010 + -111? -111001001 In base 15, what is 71 + 5? 76 In base 13, what is -1c4c - 6? -1c55 In base 6, what is 4 + 2045? 2053 In base 2, what is 1100 + 10010? 11110 In base 5, what is -21 + -300? -321 In base 16, what is 7 + -15? -e In base 12, what is a6 + 3? a9 In base 10, what is -134 - 66? -200 In base 13, what is -106 - -4? -102 In base 13, what is 32 - 2b? 4 In base 12, what is 4 + 14b? 153 In base 7, what is 112 + -2? 110 In base 12, what is 329 + 13? 340 In base 9, what is 2152 + -10? 2142 In base 15, what is 309 + a? 314 In base 11, what is 148 - -46? 193 In base 3, what is -1 + 22? 21 In base 2, what is 10 - 10111? -10101 In base 7, what is 2 + -1? 1 In base 14, what is 46 + 1a? 62 In base 15, what is 1 - 18? -17 In base 6, what is -200 - -4? -152 In base 11, what is 7 - 396? -38a In base 7, what is -50 - 44? -124 In base 15, what is 13d - -3? 141 In base 13, what is 29 + 4? 30 In base 6, what is 1504 + -4? 1500 In base 13, what is -88a - 0? -88a In base 14, what is -12 + -a8? -ba In base 12, what is 104a + 2? 1050 In base 4, what is 3302120 - -1? 3302121 In base 11, what is 10a97 - 0? 10a97 In base 15, what is -3 - -47? 44 In base 12, what is -3 - -4a? 47 In base 13, what is 4 - -1cc? 203 In base 9, what is 187 - 3? 184 In base 3, what is 2101 - -10? 2111 In base 12, what is -16b7 + -3? -16ba In base 4, what is -2320 + -11? -2331 In base 16, what is 1e4 - 2? 1e2 In base 10, what is -4 - 245? -249 In base 13, what is -52 + -47? -99 In base 7, what is 2 + 110? 112 In base 13, what is -3 - 45c? -462 In base 12, what is 5 - 26? -21 In base 14, what is -5 - acc? -ad3 In base 15, what is -170 - 3? -173 In base 4, what is -1 - -12? 11 In base 14, what is -1 + 2? 1 In base 4, what is 102320120 + -2? 102320112 In base 7, what is -13642 - 4? -13646 In base 8, what is -2 + 252? 250 In base 7, what is 30 + -33? -3 In base 15, what is 35 - -1? 36 In base 9, what is 14 - 10? 4 In base 15, what is -8 - ed? -106 In base 14, what is 160 + 3? 163 In base 16, what is 2dd + 0? 2dd In base 10, what is 2 + -63? -61 In base 16, what is -22 + 1? -21 In base 7, what is 30 - 3? 24 In base 8, what is -14 + -167? -203 In base 15, what is 5c + -5? 57 In base 4, what is 221120 + 1? 221121 In base 11, what is -4 + 92? 89 In base 7, what is 1 - -2443? 2444 In base 7, what is -31 - 15? -46 In base 9, what is 2 - 141? -138 In base 11, what is 5 + 14? 19 In base 9, what is -13 - -13? 0 In base 6, what is -40 + -3? -43 In base 6, what is -1 - -40? 35 In base 9, what is 364 - -4? 368 In base 9, what is -476 - -8? -467 In base 5, what is 4 + 23212? 23221 In base 10, what is -3 + -37? -40 In base 16, what is -cd - -2? -cb In base 13, what is -8 + -193? -19b In base 7, what is 2 - -650? 652 In base 9, what is -1 - -41? 40 In base 13, what is -28 + 7? -21 In base 9, what is -51 + 77? 26 In base 13, what is 2 - ab1? -aac In base 4, what is 0 + -22? -22 In base 3, what is 122100100 + -2? 122100021 In base 13, what is 3 - 26b9? -26b6 In base 15, what is -1 - 491? -492 In base 13, what is -4 + 39? 35 In base 4, what is -10122 - -33? -10023 In base 15, what is -16 + -2? -18 In base 6, what is 3 + 121? 124 In base 5, what is -42 + -4? -101 In base 12, what is -8 + 46? 3a In base 7, what is 4 - -11054? 11061 In base 5, what is 43343 - -2? 43400 In base 2, what is -11 - 10000001? -10000100 In base 9, what is 13 - -57? 71 In base 5, what is -3 + 112? 104 In base 6, what is 5 - -1042? 1051 In base 5, what is 302 + -23? 224 In base 5, what is 134 - -10? 144 In base 13, what is -ba + -a? -c7 In base 7, what is 1 - 1? 0 In base 5, what is -10 + -42? -102 In base 9, what is 2
{ "pile_set_name": "DM Mathematics" }
et m(t) = -5*g(t) - q(t). Let h(i) = -4*i - 3*i**2 + 4*i + 2. Give 10*h(b) - 4*m(b). -2*b**2 Let d(s) = 5*s**3 + 3*s**2 - s - 3. Let z(r) = -6*r**3 - 4*r**2 + 2*r + 2. Give 4*d(b) + 3*z(b). 2*b**3 + 2*b - 6 Let l be 4/(-10) - 134/(-10). Suppose -l - 5 = 3*g. Let q(f) be the first derivative of -3*f**2/2 + 3*f + 2. Let i(r) = r - 1. Calculate g*q(o) - 17*i(o). o - 1 Let z(a) = -a - 5. Let o(i) = -2*i - 10. Suppose y = 3*y - 22. Let u(c) = y*z(c) - 6*o(c). Let k(f) = -1. What is 11*k(v) + 2*u(v)? 2*v - 1 Let y(a) = -2*a**2 - 2*a + 5. Let q(b) = -b**2 - b + 3. Let o(j) = 5*q(j) - 3*y(j). Let h(x) = -7*x**2 - 6*x - 2. Determine h(p) + 6*o(p). -p**2 - 2 Let i(t) = 5*t. Let j = -13 - -7. Let q(n) = 55*n. Give j*q(g) + 65*i(g). -5*g Let g(y) = 1. Let m = 7 + -6. Let j(h) = -2*h**2 + h - 6. Give m*j(z) + 5*g(z). -2*z**2 + z - 1 Let m(g) = 17*g. Suppose -5*b + 8 = -3*b. Let a = b - 10. Let h(t) = -4*t. Give a*m(l) - 26*h(l). 2*l Let h(q) = 5*q. Let p(u) = 4*u. Let i(k) = k**3 + 8*k**2 - 7*k + 21. Let m be i(-9). Suppose 0 = 3*s - 5*s - 8. Determine m*h(a) + s*p(a). -a Let k(q) = 5*q + 4. Let z = 7 - 5. Let i = z + 1. Let g(m) = -6*m - 5. Calculate i*g(h) + 4*k(h). 2*h + 1 Let c(p) = -18*p. Let j(u) = -2*u - 2. Let w(b) = 2*b + 3. Let t(l) = -3*j(l) - 2*w(l). Determine 6*c(d) + 52*t(d). -4*d Let n(c) = 8*c**3 + 2*c**2 + 9*c - 9. Let d(u) = -4*u**3 - u**2 - 4*u + 4. What is -9*d(z) - 4*n(z)? 4*z**3 + z**2 Suppose 0 = 4*f + k + 12, -k + 0*k + 6 = -5*f. Let a(r) be the third derivative of r**4/24 - r**3/6 + 8*r**2. Let z(u) = -3 + 3 - 1. What is f*a(y) + 2*z(y)? -2*y Let r(n) = 5*n**3 - 6*n**2 + 9*n - 4. Let w(m) = -9*m**3 + 11*m**2 - 17*m + 7. Give 7*r(i) + 4*w(i). -i**3 + 2*i**2 - 5*i Let y(j) = -6*j**3 - 11*j + 1. Suppose 0*l - 3*q = -5*l - 5, -5*l + 30 = 4*q. Let i(f) = f**3 + 2*f. Determine l*y(x) + 11*i(x). -x**3 + 2 Let r(l) = l**2 + l + 5. Let j(s) = -s**2 - 2*s - 4. Determine -5*j(q) - 4*r(q). q**2 + 6*q Let x(i) = 19*i - 3 + 2 - 22*i. Let h be x(-3). Let g(s) = -5*s**3 + 8*s**2 + 8*s. Let q(n) = 2*n**3 - 3*n**2 - 3*n. Determine h*q(v) + 3*g(v). v**3 Suppose 2*f + 18 = f + 4*u, -39 = 4*f - 5*u. Let o(n) = n**3 + 8*n - 6. Let r(c) = c**3 + 9*c - 7. Determine f*r(i) + 7*o(i). i**3 + 2*i Suppose 79 - 4 = 3*o. Suppose 3*t - 3*d + 4 = o, 2*d = 5*t - 35. Let c(a) = -9*a - 7. Let s(q) = -13*q - 10. Determine t*c(b) - 5*s(b). 2*b + 1 Let v(h) = -2*h**2 + 2*h - 2. Let l(m) = m**2. Determine -l(f) - v(f). f**2 - 2*f + 2 Let p(l) = -53*l**3 + 3*l. Let i(n) = 107*n**3 - 7*n. Determine -3*i(f) - 7*p(f). 50*f**3 Suppose 5*p - 28 = -2*u - u, 5*p + u = 36. Let x(c) = -4 + p + 5*c + 3 - c. Let o(l) = l + 2. Calculate 14*o(q) - 4*x(q). -2*q Let t(w) = -9*w**2 + 11*w + 3. Let z(n) = 4*n**2 - 5*n - 1. Let p(i) = 3*t(i) + 7*z(i). Let f(x) = -x**2 + x - 1. What is 4*f(s) + 2*p(s)? -2*s**2 Let o(j) = j**2 - j - 4. Let l(p) = -2*p**2 + p - 18. Let s(x) = x**2 - x + 1. Let z(r) = l(r) + 5*s(r). Give 7*o(n) - 2*z(n). n**2 + n - 2 Let b(h) = -4*h + 9. Let n(v) = 4*v - 10. Give -4*b(a) - 5*n(a). -4*a + 14 Let d(c) be the second derivative of -c**4/24 - c**3/2 - 7*c. Let t(g) be the second derivative of d(g). Let f(v) = -v**2 + 2*v + 1. Calculate -f(u) + t(u). u**2 - 2*u - 2 Let b(t) = t**3 + 3*t**2 + 5*t + 2. Let s(x) = -2*x**3 - 3*x**2 - 6*x - 3. Determine -3*b(m) - 2*s(m). m**3 - 3*m**2 - 3*m Let v(a) = a**2 + a + 1. Let k = -30 - -12. Let z(u) = u**3 - 9*u**2 - 9*u - 9. Calculate k*v(i) - 2*z(i). -2*i**3 Suppose 1 = g - 1, 0 = -3*y - 4*g - 7. Let r = -7 + 6. Let f(o) = -7*o - 2. Let n(z) = z. What is r*f(i) + y*n(i)? 2*i + 2 Let u(t) = -3*t**2 - 2*t + 2. Let p(v) = 6*v**2 + 3*v - 3. Let r(q) = 2*p(q) + 5*u(q). Let i(f) = f - 1. Give 4*i(n) + r(n). -3*n**2 Let b(j) = 14*j - 10. Let c(t) = 1. Calculate 2*b(d) + 20*c(d). 28*d Let i(j) = 2*j**3 - 3*j**2 - j + 1. Let p(s) = -3*s**3 + 5*s**2 + 2*s - 3. Determine -5*i(d) - 3*p(d). -d**3 - d + 4 Let x(n) = 8*n - 9. Let g(b) = 4*b - 4. What is -13*g(s) + 6*x(s)? -4*s - 2 Let u(a) = a**3. Let f(q) be the first derivative of q**4/2 + q**3/3 - q**2/2 + 6. Suppose 2*m + 2 = -0*m. Give m*f(o) + 3*u(o). o**3 - o**2 + o Let l be (9/(-3) - 1) + 7. Suppose -l*y + 21 = 3*q, 0*y + 2*y = 4*q - 28. Let a(k) = 2*k**2 + 3. Let m(p) = -5*p**2 - 7. Calculate q*a(j) + 3*m(j). -j**2 Let q(v) = -6*v**3 - v**2 - 7*v + 3. Let d(l) = -2*l**3 - 2*l + 1. Let u = -7 + 5. Determine u*q(o) + 7*d(o). -2*o**3 + 2*o**2 + 1 Let g(b) = -4*b**3 - b + 2. Let d = -9 - -11. Let u(r) = 5*r**3 + r - 3. Calculate d*u(f) + 3*g(f). -2*f**3 - f Let l(j) = -j**2 + 1. Let p(g) = 14*g**2 - 2*g - 5. Determine -5*l(s) - p(s). -9*s**2 + 2*s Let x(u) = 7*u**3 + 5*u**2 - 5*u - 5. Let v(d) = -2*d**2 - 2*d + 2 - 3*d**3 + 5*d - d. Suppose 4*f = -5 - 11. Calculate f*x(o) - 10*v(o). 2*o**3 Let q(y) = 3*y**2 + 2. Suppose 20 = d + 4*d, -3*d + 6 = -3*z. Let m(i) = 4*i**2 + 3. Determine z*m(l) - 3*q(l). -l**2 Let t(y) = 2*y + 1. Let r be t(-1). Let z be ((-2)/4)/(r/14). Suppose -z*d = -4*d - 18. Let k(c) = 2*c**2 + 6*c - 6. Let h(n) = -n + 1. What is d*h(u) + k(u)? 2*u**2 Let q(j) = -17*j**2 + 5*j - 1. Suppose 20 = 3*k + 8. Let r(t) = -k*t**2 + 3*t - 6*t + 4*t + 0*t. Give 2*q(v) - 9*r(v). 2*v**2 + v - 2 Let k(o) = 2*o**2 + 2*o - 2. Let c(s) be the third derivative of s**6/120 + s**5/12 + 5*s**4/24 - 2*s**3/3 - 2*s**2 - 12. Determine 2*c(m) - 5*k(m). 2*m**3 + 2 Let y = 3 + -9. Let h(w) = -8*w + 9. Let k(p) = -17*p + 19. Calculate y*k(a) + 13*h(a). -2*a + 3 Let y(g) = 5*g - 2. Let k(c) = -c - 1. Calculate 2*k(o) - 2*y(o). -12*o + 2 Let x(f) = -27*f**3 + 4*f**2 - 4. Let o(w) = 27*w**3 - 3*w**2 + 3. Give 4*o(q) + 3*x(q). 27*q**3 Let x = 98 + -102. Let g(j) = j**3 - 4*j**2 + 4*j + 4. Let f(p) = p**3 - 9*p**2 + 9*p + 9. Give x*f(o) + 9*g(o). 5*o**3 Let a(z) be the third derivative of z**5/60 - z**3/6 - z**2. Let r(u) = u**3 - 4*u**2 + 6. Suppose -17*n + 10 = -15*n. Determine n*a(m) + r(m). m**3 + m**2 + 1 Let m(s) = 11*s**3 + 13*s**2 - 17*s. Let y(v) = -5*v**3 - 6*v**2 + 8*v. Let w(b) = -b. Let z be w(6). What is z*m(r) - 13*y(r)? -r**3 - 2*r Let o(c) be the first derivative of c**2 + 2*c - 8. Let s be (2/6)/((-2)/(-42)). Let q(t) = 5*t + 5. Give s*o(i) - 3*q(i). -i - 1 Let a(z) = z**3 - 4*z**2 + 5*z - 3. Let j be a(3). Let x = j - 15. Let i(b) = -5 + b**2 - b**2 - 9*b**3. Let f(y) = 22*y**3 + 12. What is x*i(o) - 5*f(o)? -2*o**3 Let o(t) = -58*t**3 - 16*t**2 + 6*t + 6. Let f(d) = 19*d**3 + 5*d**2 - 2*d - 2. Give 16*f(s) + 5*o(s). 14*s**3 - 2*s - 2 Let t = -2 + 3. Let s(u) = 2*u - 2. Suppose 4*a - 2 + 18 = 0. Let q(n) = -1. Determine a*q(k) + t*s(k). 2*k + 2 Let c(d) = -3*d + 2. Let z(u) = -2*u + 2. Suppose -4*s + 0*s = 16. Calculate s*z(m) + 3*c(m). -m - 2 Let i(s) = 2*s**2 - 3*s - 3. Let o(f) = -f**3 + f + 1. Give i(l) + 3*o(l). -3*l**3 + 2*l**2 Let q(f) = -f**3 + 7*f**2 + 4. Let p be q(7). Suppose 0*m - p = 2*m. Let y(b) = -5*b + 3. Let w(h) = -4*h + 2. Determine m*y(n) + 3*w(n). -2*n Let a(q) = 2*q**3 - 3*q**2 - 7*q + 5. Let b(c) = -2*c**3 + 3*c**2 + 6*c - 4. Give 4*a(k) + 5*b(k). -2*k**3 + 3*k**2 + 2*k Let x(z) = -2*z**2. Let a(i) = -5*i**2. What is 3*a(n) - 8*x(n)? n**2 Let o(z) = -z + 23. Let m(k) = 3*k - 68. Determine -6*m(d) - 17*o(d). -d + 17 Let y(j) = -j**3 - 2*j**2 + 2*j + 2. Let r(f) = f**2 - 5*f - 4. Let l be r(6). Let k = l + -3. Let i(q) = q**3 + q**2 - q - 1. Calculate k*y(z) - 2*i(z). -z**3 Let r be 18/5 + (-2)/(-5). Let g(f) = -f**3 + 3*f**2. Let x(c) = -c**2. Determine r*x(s) + g(s). -s**3 - s**2 Suppose 6*q - 21*q - 15 = 0. Let u(g) = -g**2 + g + 1. Let p(w) = -6*w**3 - 3*w**2 + 3*w + 3. Calculate q*p(t) + 3*u(t). 6*t**3 Let c(k) = -5*k**3 + k. Let h(z) = 14*z**3 - 2*z. Let v be -1 - -2 - (-9)/(-1). Determine v*c(a) - 3*h(a). -2*a**3 - 2*a Let k(p) = -2*p + 8. Let m(t) be the first derivative of -t - 10. Calculate -k(n) - 5*m(n). 2*n - 3 Let q = 103 + -105. Let s(u) = -u**3 - 17*u**2 - 5*u - 9. Let g(i) = -4*i**2 - i - 2. Calculate q*s(h) + 9*g(h). 2*h**3 - 2*h**2 + h Let g(c) = 3*c - 5. Let n(l) = 1. Give g(x) + 4*n(x). 3*x - 1 Let c(y) = 4*y - 1. Let n(m) be the second derivative of m**3/6 - m. What is -c(z) + 3*n(z)? -z + 1 Let t(p) = -4 - 7 - p + p**2 + 1 + 7. Let m(z) = 3*z**2 - 4*z - 10. Give -2*m(f) + 7*t(f). f**2 + f - 1 Let u(p) = -p**2 + 4*p + 8. Let f(y) = -
{ "pile_set_name": "DM Mathematics" }
Let t = -127 + 240. Let k = t - 113. Let n = -4 - -4.05. Which is the biggest value? (a) 2/7 (b) k (c) n a Let f be ((-21)/9 + 2)*-1. Let q be -2*3/30 - 17/(-135). What is the second smallest value in -3, f, q? q Let o = 0.294 - -0.206. What is the second biggest value in o, -4, -3.4? -3.4 Let o be 8/(-4) + 54/26. Let u = -16/39 + o. Let r be (((-8)/9)/(-2))/(-3 - 3). Which is the smallest value? (a) r (b) 1 (c) u c Let p = 165 - 165.03. What is the third biggest value in 0.1, -2, p? -2 Let d = 0.42 - 0.02. Let m = 0.5 - d. Let v = 139/762 - 2/127. Which is the third biggest value? (a) m (b) -2/7 (c) v b Let n = 291 + -267. What is the fourth smallest value in 3, n, 0.4, 4? n Let o = 773 + -773.2. Let u = 3 + 1. What is the third biggest value in o, u, 0.3? o Suppose 3*t + 2*k - 15 = k, -4*t + 25 = 3*k. What is the second biggest value in -0.9, -3, t, -2? -0.9 Let x be (-102)/(-21) - (-7 - -12). Which is the smallest value? (a) -0.1 (b) -0.2 (c) x (d) -7 d Let g = -12 + 25/2. Let t = -2428 - -2424. Which is the second biggest value? (a) -5 (b) g (c) 0 (d) t c Suppose 25*t + 216 = 29*t. Which is the biggest value? (a) t (b) 2 (c) 0.3 a Let x = 117 + -48. Let n = x - 68.99. Which is the third biggest value? (a) -0.2 (b) 0.3 (c) n (d) -2 a Let w = 15 - 10. Let o(t) = 2*t**2 - 7*t + 1. Let f be o(w). Let p be 3/(-12) + (-35)/(-60). What is the third biggest value in -4, p, f? -4 Let g = 73 - 69. Let v be g/(-8)*2/5. Which is the third biggest value? (a) v (b) -3/5 (c) 5 b Let u = 4955/12 - 857/3. Let w = 128 - u. Which is the third smallest value? (a) w (b) 3 (c) -5 b Let f be 1/(-3)*41 - (-28)/(-84). Let x be (-152)/(-1463) - (-4)/f. What is the smallest value in x, -3, -0.3? -3 Let q = -86.92 - -87. Let g = -9.2 + 9. Let l = -2.2 + 2.2. What is the biggest value in l, q, g? q Let v = 2.1279 + -5.1279. Let z be 2/5 - (-32)/(-130). Which is the biggest value? (a) v (b) 0.3 (c) z b Let r be (2/(-7))/(184/(-161)). Which is the third smallest value? (a) r (b) -2/21 (c) -5 (d) 2/9 d Let v = -0.003 - 0.297. Which is the second biggest value? (a) v (b) -0.16 (c) 0 b Let m = 0.04 + 4.96. Let n = m + -6. Let k be (-380)/350 - 4/(-14). What is the smallest value in k, n, 5? n Let h be 1 - 19/(798/48). Let m be ((-3)/(-27))/(15/18). What is the second biggest value in -3/8, m, h? h Let y = 339 + -338.97. What is the second smallest value in 2, 5, y? 2 Let q = -84 + 46. Let a = -38.1 - q. What is the biggest value in 0.2, a, 4? 4 Suppose 2*h - 10 = 7*h - 2*i, -2*h = 5*i + 4. Which is the biggest value? (a) -0.0749 (b) h (c) 2 c Let p = -48 + 31. Let w = p - -17. Let f = -1 - w. What is the third biggest value in 1/5, -15, f? -15 Let k = 132 + -131.9. What is the second biggest value in 2/9, -0.06, k, 1/2? 2/9 Suppose -g + 0 - 18 = 5*w, -4*g + 2*w + 16 = 0. Let p(s) = s - 2 + g - 2*s - 2. Let x be p(-5). What is the biggest value in 4, -0.04, x? 4 Suppose -5*k + 2*y = -8*k - 3, 3*k - 6 = y. What is the third smallest value in k, -2/11, -39? k Let z = 706/7 + -101. Let l be 2 + 2 - (-20)/(-6). What is the third smallest value in 5, z, -4, l? l Let p = 3.4 - 3.8. Let r = 33 - 32.5. What is the second biggest value in -11, r, -1/5, p? -1/5 Let u be 235/375 - (3 - (-36)/(-15)). What is the second smallest value in u, -0.2, -5? -0.2 Let z = -3.8 + 0.8. Let x = 159/280 - -1/280. Let b = x + -25/56. What is the second biggest value in b, 1/6, z? b Let y = 260 - 254. Which is the third biggest value? (a) 4/9 (b) y (c) -4 (d) 4 a Let t(m) = -3*m**3 + 45*m**2 + m - 19. Let s be t(15). Which is the third biggest value? (a) -2/23 (b) s (c) -2/3 (d) 3 c Let f be (-3)/4*1*(-8)/156. Let x = -49/78 - f. Which is the fourth biggest value? (a) -2/9 (b) 0 (c) x (d) 2/19 c Let s be (21/(-283))/((-60)/1005). Let f = 2/283 + s. What is the third biggest value in -5, -3, f, -1? -3 Let h = -324 + 324.1. What is the biggest value in 0.2, h, 13, 2? 13 Let f = 36 - 34. Let w be 10/(-25) - (-5)/11. Let h = -79/440 + w. What is the third biggest value in f, h, -3? -3 Let y = -424 - -421. Which is the second smallest value? (a) -7 (b) 5 (c) -1/9 (d) y d Let n = -99 - -99.41. Let i = n - 0.61. What is the second smallest value in -3/2, i, -1/4? -1/4 Let o = -1 - -1.2. Let h = 34 + -23. Let v = h + -7. What is the second biggest value in v, 0, o? o Let k = -2.8 - 0.2. Let p = -6 - k. Which is the third smallest value? (a) -0.3 (b) -1/2 (c) p a Let c(g) = 2*g**2 + 29*g - 10. Let i be c(-15). What is the third smallest value in -0.16, -4, i? i Let u = 0.073 + 35.927. Let q = u + -40. What is the second biggest value in 1/4, q, -0.1? -0.1 Let z = 316554/23 - 13770. Let j = -76238/11247 - z. Let f = j + -817/489. Which is the third smallest value? (a) f (b) 3 (c) 2/5 b Let w(k) = 6*k + 68. Let i be w(-11). What is the third smallest value in -165, i, -3? i Let h = -162.2 + 183. Let s = -0.3 + h. Let p = s + -21. Which is the smallest value? (a) -5 (b) p (c) -1 a Let y = 2/81 - -73/324. Let j = 14.65 - 14.65. What is the fourth biggest value in y, j, 3/5, -4? -4 Let a(j) = -5*j + 35. Suppose -4*r + 3*p = -23, -2*r - 2*r + 47 = 5*p. Let m be a(r). What is the smallest value in m, -5/4, -2, -4? m Let s = 985 + -980.07. Let h = 0.07 + s. Which is the third biggest value? (a) 3/5 (b) h (c) -3 c Let l = 661 - 661.3. Let i(w) = 2*w + 4. Let z be i(-4). Let v be 51/15 - z/(-10). What is the biggest value in l, v, 2? v Let m = 32.3 - 31.8. Which is the second biggest value? (a) 7 (b) 4 (c) m (d) -0.5 b Let v = 49.5 - -6.5. Let r = v - 55.86. Which is the third smallest value? (a) 2/19 (b) 2/15 (c) r c Let q = -0.11 - -0.01. Let v(l) = -3*l + 27. Let i be v(17). Let s be -3 + 14/5 + i/5. Which is the second smallest value? (a) s (b) q (c) 4 b Suppose 3*r = 6*r - 3*g - 48, 3*r + 2*g - 73 = 0. Let w be (r/(-14))/((-42)/16*2). Which is the third smallest value? (a) -0.3 (b) w (c) 1/2 (d) -16 b Let d(w) be the first derivative of w**3/3 + 8*w**2 + 3*w + 7. Let t be d(-16). Which is the third biggest value? (a) 1/7 (b) 0.3 (c) t a Let u be 6*1 - 13/((-39)/15). Let i = 5.01 + -0.01. Which is the third biggest value? (a) u (b) 1 (c) i b Let h = 0.0772 - -0.0228. Which is the third biggest value? (a) h (b) 9 (c) 0.5 a Let m be (48/(-60))/(44/2). What is the fourth smallest value in 1/5, 5, m, 2? 5 Let q = 0.958 + -0.358. Let z = -45 - -179/4. What is the biggest value in -3/5, q, z? q Let f(i) = -15*i - 34. Let z be f(14). Let l be 3 + z/36 - -4. Which is the third smallest value? (a) 0.2 (b) 0.7 (c) l b Suppose -3706*p + 3712*p = 0. Let y = -0.1 + -0.1. Which is the second biggest value? (a) y (b) p (c) -1 a Let t = -19.1 + 18.1. What is the smallest value in -0.1, t, -4? -4 Let f be (-72)/(-154) + (-18)/63. Let t = -0.3 - -0.1. Let y = 0 - -4. Which is the biggest value? (a) t (b) y (c) f b Let w be 3/7 - (-6 + (-45)/(-7)). Let j = 311 - 311.5. Which is the second smallest value? (a) j (b) -1 (c) 2 (d) w a Let q = 180 + -180.4. Which is the smallest value? (a) q (b) 2.5 (c) -3 c Let i = 0.019 - 0.059. Let m = -0.079 - -0.379. Which is the second smallest value? (a) -6/7 (b) i (c) 3 (d) m b Let x = -181.68 - -185. Let w = 0.68 + x. What is the second smallest value in -0.7, w, 0.4? 0.4 Let o = 71 + -70. Which is the smallest value? (a) o (b) -0.1 (c) -2 (d) 0.1 c Let u = -58.41 + -21.59. Which is the second biggest value? (a) -5 (b) 1 (c) 3/4 (d) u c Let z = -18404.96 - -18405. Let o be 2/(-8) - (1 + -1). Let l = 4 - 2. What is the second smallest value in o, l, z? z Let v be (12/8)/((-9)/228). Let p = -36 - v. Let y = 1 - -2. Which is the second biggest value? (a) 1/5 (b) y (c) p c Let i = 26 - 23. Suppose -2*z - 2*z = 4. Suppose -4*r - 2 = v - 6, v - 4*r = -12. What is the third biggest value in v, z, i? v Suppose g - 4*o + 5 = 2*g, 5*g + 2*o - 7 = 0. Let x be 0 - g - (-21)/15. Let y = -103 - -823/8. Which is the second biggest value? (a) y (b) 2/9 (c) x b Let t = -4204 - -4212. Let j = 0.5 + 0. What is the third smallest value in t, 5, j, 1/4? 5 Let u = 545/5174 - -2/199. Let l = u + -8/13. Let g = -0.88 + 0.78. What is the biggest value in g, 5, l? 5 Let w = 61/2 + -29. Let g
{ "pile_set_name": "DM Mathematics" }
unded to the nearest 100000? -4700000 Round -4694000 to the nearest one hundred thousand. -4700000 Round 153015 to the nearest ten thousand. 150000 What is 0.21976 rounded to two dps? 0.22 Round 39.905 to one decimal place. 39.9 What is 68110 rounded to the nearest 10000? 70000 Round 335190 to the nearest ten thousand. 340000 What is -300540 rounded to the nearest ten thousand? -300000 Round -4.3636 to the nearest integer. -4 Round 0.00000611745 to six dps. 0.000006 What is -8295000 rounded to the nearest 1000000? -8000000 What is -430490 rounded to the nearest 1000? -430000 Round 15213.5 to the nearest one hundred. 15200 Round -0.000786 to 4 dps. -0.0008 Round 0.00066698 to four decimal places. 0.0007 Round 3622100 to the nearest ten thousand. 3620000 Round -1068 to the nearest 100. -1100 What is -0.0000044336 rounded to six dps? -0.000004 Round -0.002454 to four decimal places. -0.0025 What is -0.000029332 rounded to seven decimal places? -0.0000293 What is 17880 rounded to the nearest 100? 17900 Round 0.10699 to two decimal places. 0.11 What is -2297940 rounded to the nearest one hundred thousand? -2300000 Round 0.000066847 to 5 decimal places. 0.00007 What is 7.856 rounded to 1 decimal place? 7.9 Round -0.0000005369 to 7 dps. -0.0000005 What is -0.02002 rounded to 4 decimal places? -0.02 What is -0.00273698 rounded to 4 decimal places? -0.0027 What is 754.1 rounded to the nearest ten? 750 What is -753300 rounded to the nearest ten thousand? -750000 Round -23643000 to the nearest one million. -24000000 Round 2551 to the nearest one hundred. 2600 What is -0.000591 rounded to five dps? -0.00059 Round -9.213 to 1 dp. -9.2 What is 1.18 rounded to 1 decimal place? 1.2 What is 0.9793 rounded to 2 dps? 0.98 What is -0.003198 rounded to 4 decimal places? -0.0032 What is -66.2 rounded to the nearest 10? -70 Round 0.65869 to 2 decimal places. 0.66 What is 5905.4 rounded to the nearest 1000? 6000 What is -6350 rounded to the nearest 1000? -6000 Round 0.047465 to 4 dps. 0.0475 What is 0.0068103 rounded to five dps? 0.00681 Round 15.05 to the nearest 10. 20 Round 14468 to the nearest 1000. 14000 What is -239.3 rounded to the nearest 100? -200 What is -0.0018646 rounded to five decimal places? -0.00186 Round 0.0000041118 to seven decimal places. 0.0000041 Round -0.01926 to three dps. -0.019 What is -0.17994 rounded to two dps? -0.18 What is -3703.3 rounded to the nearest one hundred? -3700 Round -1267.4 to the nearest 100. -1300 What is -556610 rounded to the nearest 10000? -560000 What is 36.98 rounded to the nearest ten? 40 What is 0.15649 rounded to two dps? 0.16 Round 0.0098719 to four decimal places. 0.0099 What is -1854200 rounded to the nearest ten thousand? -1850000 What is 0.00000423 rounded to seven dps? 0.0000042 What is -22.2 rounded to the nearest integer? -22 What is 600.34 rounded to the nearest 10? 600 Round 196900000 to the nearest one million. 197000000 What is 31450 rounded to the nearest 1000? 31000 Round -78995000 to the nearest 100000. -79000000 Round 0.067813 to two decimal places. 0.07 Round 0.000938 to 3 decimal places. 0.001 Round -0.561 to 1 decimal place. -0.6 Round 577900 to the nearest 1000000. 1000000 What is 0.056806 rounded to 4 dps? 0.0568 What is -0.07189 rounded to 3 dps? -0.072 Round -0.0325531 to 3 dps. -0.033 What is 0.2234 rounded to three decimal places? 0.223 Round -0.168 to 1 dp. -0.2 Round -0.000114253 to 6 dps. -0.000114 What is 2.1832 rounded to 2 decimal places? 2.18 Round 0.3283 to two dps. 0.33 What is -0.09041 rounded to 3 decimal places? -0.09 Round 25911 to the nearest 1000. 26000 Round 34029000 to the nearest 100000. 34000000 What is 463.519 rounded to zero dps? 464 Round 0.00063765 to 4 dps. 0.0006 Round 0.0000003184 to seven dps. 0.0000003 Round 32.78 to the nearest ten. 30 Round 25.221 to the nearest ten. 30 Round -0.000496 to five decimal places. -0.0005 Round 175.75 to the nearest ten. 180 Round 0.0000001098 to seven dps. 0.0000001 What is 0.008284 rounded to four dps? 0.0083 Round -5050100 to the nearest ten thousand. -5050000 What is -468000 rounded to the nearest one hundred thousand? -500000 Round -0.000099 to five dps. -0.0001 What is -126200000 rounded to the nearest 1000000? -126000000 What is 0.008254 rounded to four decimal places? 0.0083 Round 0.00020222 to 6 decimal places. 0.000202 Round 3110900 to the nearest 10000. 3110000 What is -410000 rounded to the nearest ten thousand? -410000 What is 150 rounded to the nearest 100? 200 Round 0.000012362 to seven dps. 0.0000124 What is -0.000071137 rounded to 6 decimal places? -0.000071 What is -0.5203 rounded to 1 dp? -0.5 What is 0.1001 rounded to 3 dps? 0.1 Round -5252300 to the nearest ten thousand. -5250000 Round 79100 to the nearest ten thousand. 80000 Round -0.000023547 to 7 decimal places. -0.0000235 Round 0.000004929 to seven decimal places. 0.0000049 What is -4.223 rounded to 1 dp? -4.2 What is 0.0000063279 rounded to 7 decimal places? 0.0000063 Round -0.0000003 to 6 dps. 0 What is 0.0001279 rounded to 4 dps? 0.0001 Round -400880 to the nearest 10000. -400000 Round 0.0000006537 to 7 dps. 0.0000007 Round 4.531 to one decimal place. 4.5 What is 76280 rounded to the nearest 10000? 80000 Round -9.756 to 1 dp. -9.8 What is -2202000 rounded to the nearest 100000? -2200000 What is -1.736 rounded to one dp? -1.7 What is 37.93 rounded to the nearest ten? 40 What is -567300 rounded to the nearest one hundred thousand? -600000 What is 0.0000018341 rounded to 7 decimal places? 0.0000018 What is 0.0005711 rounded to 5 decimal places? 0.00057 Round 4739 to the nearest 100. 4700 What is -0.0000004544 rounded to 7 dps? -0.0000005 Round 0.0398917 to three dps. 0.04 What is -0.274344 rounded to two decimal places? -0.27 What is -0.02855 rounded to two dps? -0.03 Round -1394 to the nearest one hundred. -1400 What is -45909 rounded to the nearest 100? -45900 What is 0.0000003492 rounded to seven dps? 0.0000003 What is 1111300 rounded to the nearest 100000? 1100000 What is 0.56826 rounded to one decimal place? 0.6 Round 728.47 to the nearest 10. 730 Round 0.13522 to 3 decimal places. 0.135 Round -0.00010512 to five dps. -0.00011 What is -0.000707 rounded to three dps? -0.001 Round -0.00000002835 to 7 dps. 0 Round 1380400 to the nearest one hundred thousand. 1400000 What is 48.76 rounded to 0 decimal places? 49 What is 0.00004417 rounded to 6 dps? 0.000044 What is 653600 rounded to the nearest 100000? 700000 What is 577.96 rounded to the nearest one hundred? 600 What is 2483000 rounded to the nearest 1000000? 2000000 What is 514 rounded to the nearest 100? 500 Round -285.6 to the nearest 10. -290 Round 0.0006582 to 3 decimal places. 0.001 Round -0.03218 to three dps. -0.032 What is -0.332471 rounded to 2 decimal places? -0.33 What is 0.039159 rounded to four dps? 0.0392 Round -0.0000186546 to 6 dps. -0.000019 What is -0.000002286 rounded to six decimal places? -0.000002 Round 47200000 to the nearest one million. 47000000 What is -321770 rounded to the nearest one hundred thousand? -300000 What is 0.0000001921 rounded to 7 decimal places? 0.0000002 Round 1680000 to the nearest one hundred thousand. 1700000 What is -7.494 rounded to one decimal place? -7.5 Round 34700 to the nearest one thousand. 35000 What is 0.000002768 rounded to 7 decimal places? 0.0000028 Round -0.002 to 1 dp. 0 What is 46.7 rounded to the nearest ten? 50 Round -1113920 to the nearest 10000. -1110000 Round -0.00904 to 2 decimal places. -0.01 What is 0.03442 rounded to 2 dps? 0.03 Round -0.007811 to 4 dps. -0.0078 What is -65.19 rounded to zero decimal places? -65 Round 109.9 to the nearest ten. 110 Round -5843000 to the nearest 100000. -5800000 Round 1.9813 to two decimal places. 1.98 What is -0.00371 rounded to 4 decimal places? -0.0037 What is -81071 rounded to the nearest 1000? -81000 Round -5.6045 to the nearest integer. -6 What is 11323 rounded to the nearest one thousand? 11000 What is -0.003839 rounded to 4 dps? -0.0038 Round 0.0012055 to five dps. 0.00121 What is -259.51 rounded to the nearest 100? -300 What is -5.24 rounded to 0 dps? -5 What is -0.00024001 rounded to six decimal places? -0.00024 Round -4.979 to 1 decimal place. -5 What is -0.0006376 rounded to 4 dps? -0.00
{ "pile_set_name": "DM Mathematics" }
m n + b*t and give b. -188 Express -2*j + 15 - 22 + 69 + 0*j as r + y*j and give r. 62 Express -64 - 2*i**2 + 0*i - 8*i + 7*i - 6*i**3 + 11*i**3 as a*i**2 + x*i**3 + t + r*i and give x. 5 Rearrange -1 + 14*b**2 + 321*b - 2*b**3 - 321*b + 27*b**2 - b**4 to k*b**4 + u*b**2 + j*b + y*b**3 + r and give y. -2 Rearrange 3*m**4 - 4 - 3*m**3 + 44*m + 67*m - 114*m to p*m**4 + j*m + d*m**2 + q*m**3 + o and give j. -3 Express 55*i + 20 - 1 - 16 + 2*i - i - 3*i + (-5 + 2 + 1)*(i + 0 + 0) as s*i + r and give r. 3 Rearrange (5*c**2 - 6*c**2 - c**2)*(-c**2 + c**2 - c**2) - 396*c - 5*c**4 - 23 + 396*c to f*c + k + o*c**2 + r*c**3 + a*c**4 and give a. -3 Express (2*w**4 + 0*w**2 + 0*w**2)*(-2 + 8 - 1)*(177 + 54 + 0) in the form r + k*w**4 + t*w**3 + u*w + p*w**2 and give k. 2310 Rearrange z**3 - 4*z + 4*z + z**3 + 1 - 1 - z**3 + z - z + (4 + 3 - 5)*(-3*z**3 - 3*z**3 + 4*z**3) - 18 + 18 + 76*z**3 to h*z**3 + a*z**2 + v + f*z and give h. 73 Rearrange (-3*u - 3*u + 3*u)*(74*u**3 - 66*u + 144*u - 77*u) to n*u**2 + z*u**3 + v*u**4 + m*u + p and give v. -222 Express (-10*r**3 - 4 - 7*r + 24*r**3 - 13*r**3)*(-2*r + 0*r + 5*r)*(2 - 2 - 5)*(2 + 1 - 4) as p*r + f + j*r**2 + k*r**4 + y*r**3 and give j. -105 Rearrange -137*l - 150*l - 93*l to y + r*l and give r. -380 Express (2 - 3 + 0)*(3 - 3 + 1)*(-31 - 38 + 97)*(4 + 1 - 2)*(-5*o**2 - 6*o**3 + 5*o**2) as w + i*o + q*o**2 + j*o**3 and give i. 0 Express r**3 + 27*r - 17*r + 150*r**2 + 236*r**2 - 9*r in the form i + s*r**2 + m*r**3 + q*r and give s. 386 Express 3 + 3*m + 9 + 5 - 27 in the form c + l*m and give c. -10 Express (-5*d + 6*d**2 + 5*d)*(-20 - 19 - 2) in the form n*d**2 + g*d + c and give n. -246 Rearrange 14 - a**3 - 2*a**2 + 10*a**3 + 9 to the form h*a**2 + k + c*a + v*a**3 and give h. -2 Rearrange -5*w - 6*w + 0*w + (-5 + 5 + w)*(0 - 1 - 2) + 2*w - 2*w + 2*w + (2*w + 0 + 0)*(4 + 3 - 5) to the form g*w + b and give g. -8 Express -3 + 3 + 2*f**4 + (0*f**2 + f**2 + 3*f**2)*(-8 + 6 - 18*f**2 + 0) + 4*f**4 - 2*f**4 - 3*f**4 in the form l*f**3 + i + q*f**2 + y*f**4 + w*f and give y. -71 Express 142*m - 100 - 141*m + 17 as s + z*m and give s. -83 Express 724*g**2 - g - 712*g**2 + 0 + 0 as w + a*g + m*g**2 and give a. -1 Rearrange (2*w**2 - 4*w + 4*w)*(-35 - 4 + 8)*(2*w**2 + 3 - 3) to the form j + t*w + i*w**2 + o*w**3 + y*w**4 and give o. 0 Rearrange -63563*x + 63563*x + 180*x**2 + (-2*x - 2*x + 2*x)*(-x + 3 - 3) to g + w*x**2 + j*x and give w. 182 Express (39 + 8*c - 39)*(-1 + 0 + 0) + c + 3 - 5 + 5*c in the form p + g*c and give g. -2 Express 9*q**3 - 14*q + 14*q + 2 + (-2*q**2 + 3*q**2 - 2*q**2)*(-4 + 0 - 8)*(0 - 3*q + 0) in the form t*q**2 + l*q**3 + j*q + g and give t. 0 Express (12*w + 0*w - 8*w)*(5 - 1 + 0) - 2*w - w - 8*w as f + h*w and give h. 5 Rearrange 721*l - 723*l + l**4 + l**2 + 2*l**3 + 11 - l**2 to the form g*l + f*l**3 + s*l**4 + o + u*l**2 and give f. 2 Rearrange 3*t**3 - t**3 + 1906*t - 1900*t - 2*t**4 to k + y*t**4 + q*t**3 + v*t + r*t**2 and give q. 2 Rearrange -449 - 448 + 68*q**2 + 1329 - 443 to p*q**2 + k + n*q and give p. 68 Express -3*c + 45*c - 20*c + 60*c - c + 4*c - 2*c + (1 + 0 + 1)*(0*c - 4*c + 0*c) in the form h + w*c and give w. 75 Express (-30 + 93 + 95)*((0*w + 3*w - 5*w)*(0 - 1 - 1) + 2 - 2 - 2*w) in the form q + u*w and give u. 316 Express (-20*w**2 + 20*w**2 - w**4)*(-29 - 18 - 2) in the form f + x*w**3 + c*w**2 + v*w**4 + m*w and give v. 49 Rearrange (19 + 8 + 151)*(-2 + 6 - 3)*(2*i + i - i) + 3 - 3 - 5*i to the form t*i + q and give t. 351 Rearrange (4 + 2 - 1)*((-3 + 3 + w)*(-1 + 1 - 1) + 6*w + 5*w - 4*w) to i*w + v and give i. 30 Express -57*j - 14*j + 1 - 31*j as s + y*j and give y. -102 Express -427*c**2 - 24*c**2 + 72*c**2 in the form r + t*c + d*c**2 and give d. -379 Rearrange (1 + 2 + 0)*(2 - 2 + d)*(-5 - 8 + 4)*(32 + 7 - 2)*(3 + 2 - 3) to a + x*d and give x. -1998 Rearrange -16*c - 17*c + 47*c + 2*c**4 - 16*c - 1 - 25*c**2 + 2*c**3 to i*c**3 + d*c + p*c**4 + w + v*c**2 and give i. 2 Rearrange -15 + 72 - 25 - 11 + 292*m**2 - 22 to the form z + u*m**2 + g*m and give u. 292 Rearrange (2*u**4 + 3*u - 3*u)*(-1 - 1 + 1) + 114*u**3 + 142*u**4 - 16*u**4 - 112*u**3 to the form g*u**2 + p + s*u**3 + h*u**4 + j*u and give s. 2 Rearrange (d + 2*d - 2*d)*(-3 + 2 - 6 - 1 - 4 + 4 - 2 + 0 + 3 + (1 + 0 - 3)*(3 + 6 + 12)) to the form z + j*d and give j. -49 Rearrange 11 - 13170*r + 6579*r + 6586*r to the form q*r + u and give q. -5 Rearrange -26 - 9 + 18 + z - 35 to i + w*z and give i. -52 Rearrange 325*b - 28 - 35 + 63 - 36*b to the form a*b + y and give a. 289 Express s**2 - 950*s + 476*s + 477*s - 57 in the form r*s**2 + j*s + v and give v. -57 Express (-2 + 0 + 4)*(-124 - 18 + 24)*(-4 + 4 - l) in the form k*l + j and give k. 236 Express 14*x**3 + 20*x**3 - 172 - 42*x**3 + 10*x**3 as k + q*x**3 + r*x + t*x**2 and give k. -172 Rearrange (-191*c**3 + 5*c**4 + 190*c**3 + 23*c**2 - 4*c**4)*(-3 + 1 - 2) to the form z*c + s*c**4 + u*c**3 + m*c**2 + f and give u. 4 Rearrange (3*j + j - j + (-2 + 2 - 2*j)*(-1 - 3 + 14))*((1 - 5 + 2)*(5*j**2 - 2*j**2 - 2*j**2) + 5*j - 5*j + 7*j**2) to u*j**2 + q + b*j**3 + a*j and give b. -85 Express -1 + 8*b**4 - 12*b**2 - b**3 + 12*b**4 - 3*b + 23*b**2 - 9*b**2 in the form u*b**4 + v*b**3 + f*b**2 + w + x*b and give w. -1 Rearrange -40*u + 10 + 19 + 15 - 36 to m*u + c and give m. -40 Rearrange -7*n**2 - 2*n - 8*n - 3*n**2 - 10*n + 8*n**2 + n**3 to h*n**2 + d*n**3 + c + g*n and give g. -20 Rearrange (3735 + 906 + 5353 + 6808 + 1411)*(2*q - 6*q + 2*q) to k*q + u and give k. -36426 Express 126*o - 11*o**2 - 3*o**2 - 62*o - 62*o as y*o + r*o**2 + i and give y. 2 Express -g**3 - 82*g + 82*g - g**4 + 29 as m*g**3 + n*g**4 + h + v*g**2 + y*g and give n. -1 Express (-2*q - 1 + 1)*(-10 - 3 + 6)*(1 - 3 - 1)*(2*q - 2*q - 3*q)*(4 - 5 - 1) in the form h*q + j + b*q**2 and give b. -252 Express -1 + 24*y**2 + 12*y**3 + 2*y**2 - 3*y**3 + 2*y**2 + y**3 in the form l*y**2 + j*y**3 + m*y + d and give l. 28 Express (-12*k + 13*k + 3*k**2 + 5 + 3*k**3 - 2)*(15*k - 28*k - 15*k) in the form w*k**2 + n*k + a + c*k**3 + j*k**4 and give w. -28 Rearrange (398 + 1244 + 630 + 241 + 1142)*(1 - 1 - 2*y) to the form s + d*y and give d. -7310 Rearrange -5 + 3*q + 5 + ((-24 + 47 + 27)*(-3 + 6 - 1) - 1 - 2 + 5)*(-2*q - 3*q + 4*q) to the form x*q + c and give x. -99 Rearrange -7*k**2 - 1216*k + 5*k**2 + k**2 + 348*k - 442*k to m*k**2 + n*k + p and give m. -1 Rearrange 13*v + 5*v - 16*v + 3*v - 43*v**4 + 2*v**3 to the form i + o*v**2 + x*v + d*v**4 + q*v**3 and give d. -43 Express 4*j - 13*j**4 + 53 - j - 56 in the form g*j**4 + v*j**3 + w*j + q + k*j**2 and give q. -3 Rearrange -58*m**2 + 43*m - 27*m + 65*m**2 to f + a*m**2 + x*m and give a. 7 Express 264 + 259 - 523 - 125*n**2 in the form r + b*n**2 + t*n and give b. -125 Express -778*y - y**2 - 31*y**3 + 778*y + 10*y**2 in the form z + v*y**2 + p*y + u*y**3 and give v. 9 Express (-v**2 - v**2 + 0*v**2)*(6 - 2*v - 6)*(1 - 3 + 3)*(-4 + 4 - 20)*(-5*v + 5*v + 8*v) as d*v**2 + u*v + q + f*v**4 + w*v**3 and give f. -640 Express -16893*w - 1563*w**2 + 16893*w + 569*w**2 in the form o*w + f*w**2 + u and give f. -994 Rearrange 91*x - 14*x + 131*x + 71*x to the form o*x + y and give o. 279 Rearrange 0*q**4 - 2*q**3 + 4*q**2 - q**4 - 1531 - q**2 + 1504 to s*q**2 + r*q**3 + u*q + y + t*q**4 and give y. -27 Express 34 - 45*x + 23*x + 22*x + x**3 + 4*x**3 as i*x**3 + z*x + c*x**2 + k and give i. 5 Express 409*q**4 + 0*q**3 - 1 + 6 - 2*q**3 - 401*q**4 in the form r*q**2 + d*q + y + k*q**3 + v*q**4 and give v. 8 Rearrange 13*k + 29*k - 2*k - 11*k + k**3 + 32*k to f*k + w*k**2 + v*k**3 + i and give f. 61 Rearrange -740*b + 70*b + 3383*b to the form r + n*b and give n. 2713 Rearrange (2*s - 3*s - s)*(22 + 32 - 36)*(-2 + 3 + 0) to b*s + r and give b. -36 Express -142195 - n + 8*n**3 + 3*n**2 + 142200 + n as a*n**3 + f*n + i*n**2 + u and give i. 3 Express -5 + 3*n**2 + 16 - 12 - 3*n - 5 as a*n**2 + t*n + l and give t. -3 Express (-x - 5*x - x)*(-2*x - 4*x + 5*x + (-2*x + 3*x - 3*x)*(-2 - 2 + 6)) as o*x + b*x**2 + a and give a. 0 Express (-3*u + u - u)*(-2 - 3 + 6)*(1 - u - 1) - 26*u**2 - 35*u**2 + 73*u**2 in the form s*u**2 + n + i*u and give s. 15 Express (2 - 8 + 0)*(24 + 16 + 4)*(-h + 2*h + h + h + 2*h - 4*h + (2*h + 3*h - 3*h)*(2 - 3 + 0) - 5 + h + 5
{ "pile_set_name": "DM Mathematics" }
ided by 3994 14750 Calculate -557549816 divided by -13598776. 41 What is 191 divided by -2754939? -191/2754939 Calculate 6675570 divided by -2225190. -3 Calculate 11204 divided by -1266. -5602/633 -29203 divided by 310 -29203/310 -6731512 divided by -3 6731512/3 Calculate 436600032 divided by -1023. -426784 Calculate -94260235 divided by -18852047. 5 -2 divided by 1732912 -1/866456 Divide 9379570 by -5. -1875914 Calculate 559260 divided by 468. 1195 Calculate -22321176 divided by 6. -3720196 Calculate 600120 divided by 1. 600120 Calculate -1354388 divided by -17. 1354388/17 What is -211227975 divided by 49? -4310775 What is -2448748 divided by 68? -36011 What is 283546944 divided by -171224? -1656 2608 divided by 3690 1304/1845 Divide 178827520 by 44706880. 4 35124 divided by -539 -35124/539 Divide -35473356 by 9. -3941484 -4876007 divided by 41 -118927 -4 divided by 285511876 -1/71377969 -19826690 divided by 45370 -437 Calculate -4163050 divided by 2995. -1390 Divide 75312 by 201. 25104/67 Calculate 22095830 divided by 4419166. 5 -4061 divided by -3 4061/3 142668 divided by -1551 -47556/517 Calculate -707635 divided by 39. -707635/39 -2856472 divided by -10058 284 What is 398234408 divided by 1144? 348107 Divide -3092 by 76544. -773/19136 Calculate 1043851893 divided by 347950631. 3 Divide -66132 by 22280. -16533/5570 Calculate 189512956 divided by -3. -189512956/3 Calculate 79408730 divided by 39704365. 2 Divide -40798935 by 16287. -2505 What is 13907 divided by -24? -13907/24 Divide 6 by -72634456. -3/36317228 622080 divided by 60 10368 -6379916 divided by -13 6379916/13 What is 25440688 divided by -9191? -2768 Divide 1894242 by 6443. 294 Calculate -22328040 divided by 16788. -1330 Calculate -87380484 divided by -2. 43690242 Divide -80 by 32776. -10/4097 Calculate 9355890 divided by 543. 17230 What is 7592131 divided by -10? -7592131/10 Calculate -32915616 divided by -1371484. 24 Divide 155133765 by 111207. 1395 -359767209 divided by 51 -7054259 Calculate -8233 divided by -691. 8233/691 Divide -7753345 by -5. 1550669 Calculate 4146777 divided by 1. 4146777 What is -16729821 divided by -4293? 3897 What is 0 divided by 8644421? 0 What is 141428783 divided by 1? 141428783 Divide 4092721 by -20. -4092721/20 Divide 100016 by 4721. 100016/4721 -180 divided by -225826 90/112913 Calculate -132 divided by -630956. 33/157739 What is -3939 divided by 3792? -1313/1264 -395694 divided by -942 65949/157 Calculate -131224128 divided by 32. -4100754 10108810 divided by 10 1010881 Divide 1 by -11558967. -1/11558967 What is 43910412 divided by -2090972? -21 What is 4 divided by 4667052? 1/1166763 Divide 65 by 1069810. 13/213962 Divide 4069753 by -4. -4069753/4 Divide -1395781 by -130. 1395781/130 What is 1359 divided by -354051? -151/39339 20483030 divided by 466 43955 Divide 32273613 by -3585957. -9 3 divided by 53187339 1/17729113 Divide -2 by -3493299. 2/3493299 Divide 5531 by 69253. 5531/69253 Calculate -16209900 divided by -17430. 930 What is -589 divided by -25228? 589/25228 What is 868288 divided by -13567? -64 Divide 2 by -526170. -1/263085 Calculate -6043450 divided by 2. -3021725 What is -7413084 divided by 2? -3706542 6475200 divided by -25 -259008 What is -8758540 divided by -1751708? 5 Calculate 1328244 divided by -578. -2298 What is 18731680 divided by -1170730? -16 Calculate 5 divided by 98002770. 1/19600554 Calculate -56055 divided by -357. 18685/119 Calculate 21218025 divided by 4243605. 5 Divide -30868582 by -4033. 7654 13 divided by -4174116 -13/4174116 What is -578 divided by -12524? 289/6262 What is -73011851 divided by 3629? -20119 1877 divided by 3304 1877/3304 Divide -17786641 by -17119. 1039 -36385130 divided by 7277026 -5 Divide -35802077 by 35802077. -1 75170735 divided by 251 299485 Divide 58128150 by -543. -107050 Divide -902 by -36834. 451/18417 Divide 17017749 by -9. -1890861 56531460 divided by -12 -4710955 -458 divided by 1719158 -229/859579 What is -6405216 divided by -12? 533768 2278843370 divided by -2 -1139421685 Divide -95 by -2711. 95/2711 -486625 divided by 19465 -25 -30591967 divided by -7 4370281 Divide 246 by 278008. 123/139004 What is 35254 divided by -1933? -35254/1933 Calculate 747134 divided by -18. -373567/9 Calculate -11778 divided by -1843. 11778/1843 -845901 divided by -29169 29 -13581620 divided by 130 -104474 What is 7 divided by -1142009? -7/1142009 Divide -169 by -1556. 169/1556 Calculate 5568144 divided by -1856048. -3 74215020 divided by 12 6184585 -25308360 divided by 924 -27390 What is 45129 divided by 307? 147 Calculate 24770790 divided by 90. 275231 2626477 divided by -1 -2626477 Calculate -8 divided by -151486. 4/75743 Divide -29 by 12453. -29/12453 What is 129333900 divided by -885? -146140 What is 104424480 divided by 30480? 3426 What is -5489 divided by -2932? 5489/2932 -1194 divided by -3641 1194/3641 What is 7 divided by -1038460? -7/1038460 Divide 6793672 by 9. 6793672/9 Calculate 138153096 divided by 13722. 10068 10869680 divided by -332 -32740 Divide 2774817 by -171. -16227 Calculate -1885533 divided by 8. -1885533/8 49419480 divided by 3190 15492 Divide -2778490 by 10. -277849 Calculate -6236374 divided by 1. -6236374 Divide 2139440 by -5. -427888 5803 divided by 1027 5803/1027 1228048 divided by 2 614024 Calculate 335135 divided by 17. 335135/17 What is -286488 divided by -1038? 276 Calculate -55277 divided by 10902. -55277/10902 Divide -79902657 by 19. -4205403 What is -53948397 divided by 1? -53948397 What is -4066522 divided by -4? 2033261/2 What is -56 divided by -17796? 14/4449 Divide -1012 by 54953. -1012/54953 Calculate 8375115 divided by -3. -2791705 Calculate -25031824 divided by -4. 6257956 -26017605 divided by 1 -26017605 -8323449 divided by 2774483 -3 Divide 126242055 by -5. -25248411 Divide 140 by -121684. -35/30421 Calculate 930386 divided by -2. -465193 Calculate -522360956 divided by 4. -130590239 692 divided by -4941 -692/4941 500700 divided by -73 -500700/73 What is -177821280 divided by -1495? 118944 What is -16745720 divided by -5? 3349144 -14 divided by -7192086 7/3596043 Divide 576448 by 18014. 32 What is 113835904 divided by 416? 273644 -110 divided by -5404860 11/540486 What is 445987932 divided by -111496983? -4 -3867504 divided by -80573 48 -3 divided by 532438 -3/532438 213490222 divided by 2321 91982 8334330 divided by -6 -1389055 Calculate 6232 divided by -713. -6232/713 Calculate 219735576 divided by -36. -6103766 What is -11170560 divided by -3? 3723520 4005 divided by -6225 -267/415 Divide 4 by 285397. 4/285397 Divide -173 by 2521681. -173/2521681 What is -1 divided by -339274? 1/339274 Calculate -24821892 divided by -753. 32964 What is -6220 divided by 2484? -1555/621 Calculate 47 divided by -15643732. -47/15643732 -2 divided by -179476471 2/179476471 What is 4 divided by -42844630? -2/21422315 What is -28603430 divided by 31606? -905 -16 divided by 377041 -16/377041 What is 18674 divided by -361? -18674/361 -878303088 divided by 18 -48794616 What is -841316062 divided by -2? 420658031 Calculate 21815274 divided by 39. 559366 Divide -66377 by 85. -66377/85 Calculate 4840064 divided by -5. -4840064/5 Divide 27480 by -1010. -2748/101 -99246680 divided by 4360 -22763 Calculate 45957618 divided by 31521. 1458 -45 divided by 9325765 -9/1865153 Divide 424606540 by 20. 21230327 What is -67022805 divided by -22340935? 3 Calculate -142915 divided by -191. 142915/191 Calculate 1 divided by 9644924. 1/9644924 Divide 987740352 by 1991412. 496 What is 35089562 divided by -773? -45394 What is -2011 divided by -335517? 2011/335517 What is 58212812 divided by -2? -29106406 Calculate -6368 divided by 1967. -6368/1967 What is 3 divided by 258946989? 1/86315663 Divide -115024644 by 233. -493668 -3701 divided by 2228 -3701/2228 Calculate -86 divided by 273350. -43/136675 Calculate 21327802 divided by -5. -21327802/5 Divide -3221730 by -6. 536955 What is 20 divided by -272640? -1/13632 Divide -4029504 by -48. 83948 601 divided by 20864 601/20864 Calculate 900666 divided by -300222. -3 -5524961 divided by 33 -5524961/33 Divide -3 by -19515198. 1/6505066 Calculate -16726824 divided by 1. -16726824 Divide -24009 by 8453. -24009/8453 Divide 2961668 by 514. 5762 What is 1747
{ "pile_set_name": "DM Mathematics" }
-54*j**2 Let r(d) = -1127*d**3 - 3*d**2 - 21*d + 3. Let n(c) = c**3 + c**2 + 7*c - 1. Determine 3*n(q) + r(q). -1124*q**3 Let x(g) = -g. Suppose 0*k - k + 3*l + 18 = 0, l = 5*k - 34. Suppose -3*d - k*m + m - 85 = 0, 4*m - 92 = 4*d. Let o(c) = -20*c. Determine d*x(i) + o(i). 5*i Let a(f) = 3610*f**3 + 9*f**2 - 54*f + 18. Let c(d) = 7220*d**3 + 19*d**2 - 114*d + 38. Give 19*a(k) - 9*c(k). 3610*k**3 Let v(w) = -13*w**2 + 11*w - 11. Let y(t) = 30*t**2 - 29*t + 21. What is -5*v(r) - 2*y(r)? 5*r**2 + 3*r + 13 Let f(s) = -s**2 - 5*s + 7. Suppose 8*t = -6*t. Suppose t*b + 6*b = -30. Let m(a) be the second derivative of -a**3/6 + a**2/2 + a. Give b*m(u) + f(u). -u**2 + 2 Let p(h) = -6*h - 16. Suppose 30 = 485*z - 490*z. Let i(v) = -7*v - 15. What is z*p(c) + 5*i(c)? c + 21 Let t(y) = 3225*y - 2. Let h(l) = 35926521*l - 22281. Determine -2*h(k) + 22281*t(k). 3183*k Let s = 368 - 339. Let h(f) = s - 56 + 26. Let q(u) = 2*u - 5. Determine 15*h(w) - 3*q(w). -6*w Let u(v) = -18*v**2 - 178*v + 2. Let c(x) = 10*x**2 + 87*x - 2. Give -11*c(z) - 6*u(z). -2*z**2 + 111*z + 10 Let v(g) = g**3 + g**2 - 4*g - 1. Let s(h) be the third derivative of h**6/40 + h**5/20 - h**4/2 - h**3/3 + 6*h**2 + 9*h. Give 4*s(a) - 11*v(a). a**3 + a**2 - 4*a + 3 Let s be ((-245)/(-392))/((-2)/32). Let b(q) = 7*q**2. Let v(g) = 3*g**2. What is s*v(r) + 4*b(r)? -2*r**2 Let q(l) = -3*l**2 + 81*l + 13. Let t(v) = v**2 - 29*v - 4. What is 6*q(f) + 17*t(f)? -f**2 - 7*f + 10 Let f(c) be the third derivative of 7*c**5/60 - c**4/8 + 2*c**3/3 - 928*c**2. Let h(s) = -7*s**2 + 4*s - 5. Determine 5*f(v) + 4*h(v). 7*v**2 + v Let m(i) = 6*i - 1. Let j(g) = 26*g + 54. What is -j(h) + 4*m(h)? -2*h - 58 Let h(s) = 51*s**2 - 191*s + 4 + 5 - 14 + 95*s + 91*s. Let y(k) = -434*k**2 + 42*k + 42. Calculate -42*h(f) - 5*y(f). 28*f**2 Let q(c) = 37*c - 408. Let v(h) = -9*h + 98. Give -6*q(x) - 25*v(x). 3*x - 2 Let p(d) = 9*d**2 + 8*d + 21. Let o(g) be the first derivative of -g**3 - 3*g**2/2 - 7*g + 568. What is -8*o(b) - 3*p(b)? -3*b**2 - 7 Let o(m) be the second derivative of m**3/3 - 156*m. Let y(g) = -g + 1. Let d(s) = s**2 - 3*s + 2. Let p(v) = d(v) - 2*y(v). Determine 3*o(a) + 6*p(a). 6*a**2 Let y(o) = 6*o + 4. Let u = 77 - 98. Let m(b) = -b**3 - 20*b**2 + 23*b + 31. Let s be m(u). Let l(z) = -18*z - 11. Calculate s*y(c) - 4*l(c). 6*c Let o(z) be the second derivative of z**4/3 + z**3/6 + 11*z**2/2 + 29*z + 90. Let n(y) = 5*y**2 + 2*y + 12. What is -2*n(x) + 3*o(x)? 2*x**2 - x + 9 Let w(g) = g - 1. Let c(m) = 3*m**2 - 7*m - 7. Calculate c(j) - 4*w(j). 3*j**2 - 11*j - 3 Suppose 22*z - 80 = 6*z. Suppose -g = o + 1, g + 10 = 3*o + z. Let l(i) = -i**2 - i + 1. Let d(m) = -3*m + 3. Determine o*d(x) - 3*l(x). 3*x**2 Let r(a) = 56*a + 61*a - 113*a. Let m(t) = 4*t**2 + 2*t - 5. Let v be m(6). Let k(b) = -151 + v + 7*b. Determine 3*k(n) - 5*r(n). n Let x(f) = -3*f - 10. Let k(c) = 2. Let v(s) = -1. Let q(l) = -4*k(l) - 11*v(l). Let j(d) = -3*q(d) - x(d). Let t(n) = 4*n. What is 6*j(g) - 5*t(g)? -2*g + 6 Suppose -6*t + 3 + 63 = 0. Let u(p) = 11*p - t*p + 4*p + 2 - 2 + 3. Let x(b) = 3*b + 2. Determine -4*u(q) + 6*x(q). 2*q Let o(n) = 6019*n - 12. Let b(d) = 680140*d - 1360. Calculate 6*b(r) - 680*o(r). -12080*r Let s(y) = -2*y**2 + 5*y + 1. Let d(m) = 6*m**2 - 3*m**2 - 2 + 0*m**2 - 6*m. Suppose 814*a - 819*a + 10 = 5*v, -3*a - 14 = -v. Calculate a*d(i) - 4*s(i). -i**2 - 2*i + 2 Let s(g) be the second derivative of g**2 + 0 + 215*g - 1/6*g**3. Let o(a) = 3*a - 5. Suppose 5*f = 2*q + 3*f - 18, -3*q = 2*f - 17. Determine q*s(b) + 3*o(b). 2*b - 1 Let p(r) = r**3 + r**2 - 1. Let c(i) = -264*i**3 - 8*i**2 + 14. Calculate c(l) + 8*p(l). -256*l**3 + 6 Let z(c) = 208426*c - 416860*c + 208433*c. Let u(y) = 9 - 4 - 4*y - 4*y. Determine -u(q) + 6*z(q). 2*q - 5 Let g(p) = -29*p + 1. Let u(r) = 60*r - 147. Calculate 3*g(c) + u(c). -27*c - 144 Let d(c) = c + 1. Let u(p) be the third derivative of -p**4/8 - p**3 + 1670*p**2. What is -d(l) - u(l)? 2*l + 5 Let y(z) = -99 + 6 + 92. Let f(t) = -2*t + 5. Suppose a + a - 30 = 0. What is a*y(x) + 3*f(x)? -6*x Let i(w) = -298612794*w**3 - 64281*w**2 - 64281*w. Let a(g) = -9291*g**3 - 2*g**2 - 2*g. Give -64281*a(d) + 2*i(d). 9183*d**3 Let q(k) be the third derivative of -k**6/30 + k**4/12 - 3459*k**2. Let p(r) = 3*r**3 - 2*r. Determine 3*p(u) + 4*q(u). -7*u**3 + 2*u Let i(x) = -51*x. Let a(g) = 6*g. Give -51*a(n) + 3*i(n). -459*n Let i(b) = 3*b**2 - b - 5. Suppose 5*u - 26 = -4*m + 90, -5*u = 0. Let t = m + -27. Let q be i(t). Let y(f) = f. Let k(a) = -a. Give q*y(o) + 2*k(o). 3*o Let q = -647 - -649. Let s(t) = 801*t**2 + q*t**3 - 803*t**2 + t**3. Let f(g) = g**3 - g**2. Give -2*f(r) + s(r). r**3 Let s(g) = g**2 + 1. Let i = 3141 + -3140. Let b(w) = 18*w**2 - 5. Give i*b(f) + 5*s(f). 23*f**2 Let o(y) = -21*y**3 + 4*y**2 - 11*y - 7. Let q(d) = 16*d**3 - 3*d**2 + 10*d + 5. Give -3*o(v) - 4*q(v). -v**3 - 7*v + 1 Let q(n) be the second derivative of -2*n**5/5 + n**4/12 + 2*n**3/3 + 3*n**2/2 + 1616*n. Let t(x) = -41*x**3 + 5*x**2 + 21*x + 16. Give 11*q(l) - 2*t(l). -6*l**3 + l**2 + 2*l + 1 Let g(m) be the first derivative of m**2/2 + 9916. Let j(k) = k. Suppose -3 = w - 5. Suppose -w*n - 5*q - 17 = 0, -3*n - q + 13 = 32. Calculate n*j(t) + 5*g(t). -t Let o = 539 + -178. Suppose 356*h - o*h + 20 = 0. Let x(w) = -6*w + 6. Let c(i) = -17*i + 17. What is h*c(m) - 11*x(m)? -2*m + 2 Let z(q) = -29*q + 129. Let t(k) = -43*k + 196. Give -5*t(l) + 8*z(l). -17*l + 52 Let c(b) = 6*b**3 - 6*b**2 - b - 4. Let r(l) be the second derivative of -1/4*l**5 + 1/6*l**3 + 3/2*l**2 - 6*l + 0 + 5/12*l**4. Calculate 3*c(z) + 4*r(z). -2*z**3 + 2*z**2 + z Let w(r) = -3*r - 297. Let a(h) = -h - 152. Determine 5*a(u) - 2*w(u). u - 166 Let p(d) = -1575*d**3 + 99*d**2 - 99. Let x(v) be the second derivative of -63*v**5/20 + v**4/3 - 2*v**2 + 2*v + 8153. Calculate 4*p(z) - 99*x(z). -63*z**3 Let v(w) = w - 1. Let m be 6/12 - (7 + (-90)/12). Let c(x) be the third derivative of x**4/4 - x**3/3 - 14*x**2 - 3. Calculate m*c(j) - 5*v(j). j + 3 Let k(p) = 4*p**2 + p - 15. Let b(y) = -101*y**2 + 6*y + 19. Let v(t) = -279*t**2 + 16*t + 56. Let g(f) = 11*b(f) - 4*v(f). What is 2*g(m) - 3*k(m)? -2*m**2 + m + 15 Let d(r) = 4*r**2 - r + 8. Let h(f) = 12*f**2 - 35*f + 10. Let b(g) = -11*g**2 + 24*g - 12. Let y(m) = 3*b(m) + 2*h(m). Calculate -7*d(u) - 3*y(u). -u**2 + u - 8 Let c(f) = 187*f**2 + 2*f + 34. Let i(y) = -y**2 + y + 13. Calculate -c(h) + 3*i(h). -190*h**2 + h + 5 Let n(p) = p + 3. Let o(h) = -8*h - 25. Let y(i) = 6*n(i) + o(i). Let j be -2 + 3 - (-1 - (-5 + 4)). Let l(b) = b + 1. Give j*y(c) + 6*l(c). 4*c - 1 Let z(b) = -5*b**2 - 20*b - 231. Let i(l) = -14*l**2 - 56*l - 695. Determine -6*i(f) + 17*z(f). -f**2 - 4*f + 243 Let t(f) = -f**3 + f. Suppose -24 = 3448*y - 3424*y. Let o(r) = 7*r**3 - 5*r. Let s = -4 + -1. What is s*t(g) + y*o(g)? -2*g**3 Let f(v) = 2*v - 4. Let l(w) = 5*w + 183. Let p(b) = -11*b - 407. Let i(y) = 20*l(y) + 9*p(y). Give 2*f(g) - 3*i(g). g + 1 Let h(n) = -32*n**2 - 6*n + 6. Let q(s) = -63*s**2 - 11*s + 11. Suppose -45*b = -537 + 42. What is b*h(w) - 6*q(w)? 26*w**2 Let b(y) = 126*y + 9. Let w(g) = -519*g - 39. Determine -18*b(x) - 4*w(x). -192*x - 6 Let r(u) = -3*u - 117. Let t(n) = -2*n - 108. Give 3*r(l) - 4*t(l). -l + 81 Let a(x) be the first derivative of -9*x**4/4 - x**3 - 17*x**2/2 + 6*x - 2739. Let o(u) = -3*u**3 - u**2 - 6*u + 2. Determine -4*a(y) + 11*o(y). 3*y**3 + y**2 + 2*y - 2 Let u(t) = 57226*t + 9. Let n(f) = -14297*f - 2. Determine 9*n(w) + 2*u(w). -14221*w Let i(s) be the second derivative of -3*s**4/4 - 7*s**3/6 - s**2/2 + 984*s + 1. Let w = -23 + 17. Let t(l) = -10*l**2 - 8*l - 1. Determine w*t(p) + 7*i(p). -3*p**2 - p - 1 Let q(l) = l**3 + l**2 + 6*l - 1. Let a(c) = -469*c**3 - 12*c**2 - 30*c + 5. Calculate -a(u) - 5*q(u). 464*u**3 + 7*u**2 Let l(y) = -38*y**2 + 30*y + 7. Let u(w) = 20*w**2 - 15*w - 3. What is 4*l(f) + 9*u(f)? 28*f**2 - 15*f + 1 Let x(f) = 4*f**3 + f**2 + 4*f + 4. Let m(c) = 3*c**3 + c**2 + c + 1. Calculate 4*m(y) - x(y). 8*y**3 + 3*y**2 Let c(m) = -25*m**3 - 61*m**2 + 648*m + 3. Let x(h) = -9*h**3 - 23*h**2 + 216*h + 1. Determine 3*c(j) - 8*x(j). -3*j**3 + j**2 + 216*j + 1 Let o(x) = -5*x + 41. Let l(n) = n - 118. Let t(i) = -2*i + 200. Let a(y) = -5*l(y) - 3*t
{ "pile_set_name": "DM Mathematics" }
+ l**5/5 - 3*l + 2. Let s(p) be the first derivative of t(p). Solve s(v) = 0. 0, 1 Suppose 82*o = -26*o + 300 - 84. Factor -1/3*l**o + 1/3 + 0*l. -(l - 1)*(l + 1)/3 Let j(y) be the second derivative of y**7/630 + y**6/90 + y**5/30 + y**4/3 - 6*y. Let v(f) be the third derivative of j(f). Find x such that v(x) = 0. -1 Factor -2*p**4 - 2 + 0 + 2*p**3 - p**5 - 1103*p + 4*p**2 + 0*p**3 + 1102*p. -(p - 1)**2*(p + 1)**2*(p + 2) Suppose -11 = -j + 4*s, -2*j - s = -3*s - 4. Let w(q) = -4*q**2 - 4*q. Let y be w(j). Factor 3/7*i**2 + y + 0*i - 3/7*i**3. -3*i**2*(i - 1)/7 Let d(b) be the second derivative of b**6/75 + 3*b**5/25 + b**4/6 - 4*b**3/5 - 2*b + 4. Factor d(y). 2*y*(y - 1)*(y + 3)*(y + 4)/5 Let n(r) be the third derivative of r**7/195 - 61*r**6/780 + 57*r**5/130 - 45*r**4/52 - 18*r**3/13 - 262*r**2 + 2. Find j, given that n(j) = 0. -2/7, 3 Let k = 22147 - 332036/15. Let n(y) be the first derivative of 26/5*y**2 - 4/5*y - 3 - k*y**3. Let n(o) = 0. What is o? 2/13 Suppose -18 = -5*b - 3*z, -b + z = -z - 1. Let h be 3 + -1 - b*(-3 - -2). Let 0*a - 1/4*a**3 + 0*a**2 + 3/4*a**4 + 0 - 1/2*a**h = 0. What is a? 0, 1/2, 1 Find k, given that 65*k + 845/2 + 5/2*k**2 = 0. -13 Let f = 23 + -17. Let c(i) = i**2 - 3*i - 3. Let b(q) = 12*q**2 - 32*q - 34. Let a(o) = f*b(o) - 68*c(o). Factor a(l). 4*l*(l + 3) Solve -6/7*b**4 - 15*b**3 - 96/7 + 3/7*b**5 - 276/7*b - 276/7*b**2 = 0. -2, -1, 8 Let g(d) = -3*d - 40. Let m be g(-15). Factor -955*v + 960*v - v**4 - 3*v**4 - v**m - 4*v**3 + 2 + 2*v**2. -(v - 1)*(v + 1)**3*(v + 2) Let y(l) = -8*l**2 - 7. Let n be y(-4). Let c = 138 + n. Let -s - s**2 - 1/3 - 1/3*s**c = 0. What is s? -1 Let p = -1491 - -1495. Let q(c) be the second derivative of -5/6*c**3 - 5/12*c**p + 0 - 2*c + 0*c**2. Let q(x) = 0. Calculate x. -1, 0 Let u(l) be the third derivative of -l**7/42 - l**6/24 + 13*l**5/6 - 5*l**4 + 371*l**2 - l. Suppose u(d) = 0. What is d? -6, 0, 1, 4 Let a(h) be the first derivative of 42592*h**5/15 + 6292*h**4/3 - 1672*h**3 + 378*h**2 - 36*h + 791. Solve a(r) = 0. -1, 3/22 Let w(u) be the first derivative of -u**4/84 + 2*u**3/21 - 2*u**2/7 - 8*u - 6. Let q(l) be the first derivative of w(l). Suppose q(p) = 0. What is p? 2 Let x = 231 + -231. Let v(c) be the first derivative of 1/30*c**4 - 1/45*c**6 + 0*c**2 + 6 + 0*c**5 + 0*c**3 + x*c. Suppose v(g) = 0. What is g? -1, 0, 1 Let m(s) be the first derivative of s**5/20 + s**4/4 + s**3/2 + 5*s**2 + 4. Let p(x) be the second derivative of m(x). What is z in p(z) = 0? -1 Let h(a) be the second derivative of a**5/50 - 2*a**4/5 - 3*a**3 - 298*a. Determine q, given that h(q) = 0. -3, 0, 15 Let y be 12/3 - ((-264)/80 + 7). Let j(g) be the second derivative of 7*g + 0 + y*g**6 - 3/5*g**5 + 0*g**2 - 1/4*g**4 + g**3. Factor j(a). 3*a*(a - 1)**2*(3*a + 2) Let f(r) be the second derivative of 0 + 1/15*r**6 - r**4 - 8/3*r**3 - 15*r - 3*r**2 + 0*r**5. Factor f(q). 2*(q - 3)*(q + 1)**3 Let w(l) be the first derivative of 98*l**5/65 - 511*l**4/26 - 1052*l**3/13 - 772*l**2/13 - 16*l - 118. Determine d so that w(d) = 0. -2, -2/7, 13 Let c be (8/(-10))/(12/(-8070)). Let m = c - 3760/7. Solve 8/7*g**3 - 4/7*g**4 + 0 - 2/7*g + 4/7*g**2 - m*g**5 = 0 for g. -1, 0, 1/3, 1 Factor -111/7*g - 96/7*g**2 - 30/7 - 15/7*g**3. -3*(g + 1)*(g + 5)*(5*g + 2)/7 Let s be (-1)/(-3) - (8577/540 - 16). Let k(z) be the first derivative of -1/3*z**3 + 0*z**2 + 0*z - 1 - s*z**5 + 3/4*z**4. Solve k(n) = 0 for n. 0, 2/3 Let b be (3*(-6)/(-18))/((-4)/(-20)). Let s(u) be the third derivative of -1/44*u**4 + 4*u**2 + 1/66*u**b + 0 - 2/33*u**3 + 0*u. Factor s(a). 2*(a - 1)*(5*a + 2)/11 Let n(d) be the second derivative of d**5/90 + 17*d**4/54 + 16*d**3/27 + 74*d. Let n(u) = 0. What is u? -16, -1, 0 Let h be 12 + 3 - 9/(-3). Let 5*m**3 + h - 5*m**2 - 20*m - 6 + 8 = 0. What is m? -2, 1, 2 Let f be (-75)/(-5) + 4 - 17. Factor 0 - 8/5*y + 2/5*y**3 - 6/5*y**f. 2*y*(y - 4)*(y + 1)/5 Let f(p) be the second derivative of -2/3*p**3 + 14*p - 1/90*p**6 - 2/3*p**2 + 0 - 1/10*p**5 - 13/36*p**4. Find x, given that f(x) = 0. -2, -1 Find r such that -4*r**4 + 0 - 10/3*r**3 + 24*r - 2/3*r**5 + 16*r**2 = 0. -3, -2, 0, 2 Let p(j) be the second derivative of j**4/42 - 4*j**3 - 85*j**2/7 - 19*j + 4. Suppose p(m) = 0. Calculate m. -1, 85 Solve 0 + 1/6*z**2 + 1/3*z - 1/3*z**3 - 1/6*z**4 = 0 for z. -2, -1, 0, 1 Let m(b) = -b**2 - b - 7. Suppose -2*u + 23 = 3*a - 4*u, a = 3*u + 10. Let w(x) = -2*x**2 - x - 15. Let t(z) = a*m(z) - 3*w(z). Suppose t(s) = 0. What is s? -2 Let v be (0/1 + 0)/(3/(-1)). Find b such that b + v*b**3 - b**3 - b**2 + b + 0*b**3 = 0. -2, 0, 1 Let w be 4 + (-290)/260 + 1/(-1). Let v(b) be the first derivative of w*b**4 - 4/13*b**2 + 8/13*b - 98/39*b**3 - 2. What is f in v(f) = 0? -2/7, 2/7, 1 Let s = 79/6 - 1577/120. Let f(j) be the second derivative of 0*j**2 + 0 - 1/24*j**4 + 1/60*j**6 - s*j**5 - 5*j + 1/12*j**3. Suppose f(i) = 0. What is i? -1, 0, 1 Let z(p) be the first derivative of -2*p**3 + 0*p**2 + 0*p - 4 + 3/4*p**4. Factor z(k). 3*k**2*(k - 2) Let i(z) be the third derivative of 0*z - 1/330*z**5 + 0 + 1/22*z**4 - 3/11*z**3 + 4*z**2. Determine h, given that i(h) = 0. 3 Let a(u) = 8*u**3 + 5*u**2 - 2*u + 1. Let p(k) = k**3 - k. Let t(q) = a(q) - 6*p(q). Find s such that t(s) = 0. -1, -1/2 Determine y, given that 160*y - 143*y**3 + y**4 + 7*y**4 + 156*y**2 + 203*y**3 + 48 = 0. -3, -2, -1/2 Let r = 1081 - 2161/2. Factor r*t**3 + 3/2*t**2 + t + 0. t*(t + 1)*(t + 2)/2 Let p be -14*2/(-28)*2. Factor 3/5*a**p + 12/5*a + 12/5. 3*(a + 2)**2/5 Let s(h) be the second derivative of -h**6/1440 - h**5/240 - 5*h**3/2 + 6*h. Let c(v) be the second derivative of s(v). Factor c(n). -n*(n + 2)/4 Let h(q) be the third derivative of q**7/630 + q**6/72 - q**5/180 - 17*q**4/72 + 2*q**3/3 - 220*q**2. Factor h(i). (i - 1)**2*(i + 3)*(i + 4)/3 Let x(w) = 3*w**2 + 42*w + 92. Let j(h) = h**2 + 14*h + 31. Let g(y) = 7*j(y) - 2*x(y). Factor g(o). (o + 3)*(o + 11) Find q, given that 1/2*q - 1/2*q**3 - q**2 + 1 = 0. -2, -1, 1 Let m be ((-6)/4)/((-19)/38). Factor f - 10*f**3 + 8*f**m + f + 2 - 2*f**2 + 0. -2*(f - 1)*(f + 1)**2 Let d be 3 - 2 - (-10 + 3)/14. Factor 0*s**3 + 0*s + d*s**2 - 3/4*s**4 - 3/4. -3*(s - 1)**2*(s + 1)**2/4 Let j(w) be the second derivative of w**5/10 - w**4/6 - w**3/6 - w**2 - 2*w. Let r be j(2). Solve -2*t - 8*t**2 - r*t + 5*t**2 = 0. -2, 0 Let x be 1/42*48/(-9). Let u = 50/63 + x. Suppose 4/3*l**2 + 1/3*l**3 + 5/3*l + u = 0. Calculate l. -2, -1 Let x(b) be the third derivative of b**11/66528 - b**10/30240 + b**5/15 + 19*b**2. Let h(v) be the third derivative of x(v). Factor h(t). 5*t**4*(t - 1) Let a(n) be the first derivative of -n**5/90 + n**4/36 + 2*n**3/9 - 2*n**2 - 18. Let g(x) be the second derivative of a(x). Suppose g(w) = 0. Calculate w. -1, 2 Let a(r) be the third derivative of r**7/35 + r**6/40 - 9*r**5/10 - 9*r**4/8 + 3*r**2 + 9. Factor a(p). 3*p*(p - 3)*(p + 3)*(2*p + 1) Let l = 321 + -2565/8. Let n(c) be the first derivative of 7 - 1/4*c**3 - 1/4*c - l*c**2 - 1/16*c**4. Factor n(d). -(d + 1)**3/4 Suppose -50*s + 164 = 14. Let t(p) be the first derivative of -3/11*p**2 + 2/33*p**s - 1 + 4/11*p. Suppose t(r) = 0. Calculate r. 1, 2 Let u(i) be the second derivative of i**8/2016 - i**7/420 + i**6/240 - i**5/360 + 3*i**2/2 - 9*i. Let q(z) be the first derivative of u(z). Factor q(f). f**2*(f - 1)**3/6 Determine k, given that 34/9*k**4 + 16/9*k + 8/3*k**2 + 0 - 20/3*k**3 - 2/3*k**5 = 0. -1/3, 0, 2 Let x = 1514 - 1510. Solve 1/4 - 3/2*a**2 - 5/2*a**3 + 21/4*a**x - 9/4*a**5 + 3/4*a = 0 for a. -1/3, 1 Let t(y) = -2*y**2 - 18*y + 3. Let p be t(-9). Let k(m) be the second derivative of 0 + p*m + 0*m**2 + 1/4*m**4 - m**3. Factor k(d). 3*d*(d - 2) Solve 370*w - 370*w**3 + 4317*w**2 - 5*w**4 - 11157*w**2 + 2110 + 2084 + 2651 = 0. -37, -1, 1 Factor -98 + 2/3*k**3 + 14/3*k + 22/3*k**2. 2*(k - 3)*(k + 7)**2/3 Suppose 12 = m + 3*m. Suppose -m*w + w**2 + 2 + 4*w - 1 - 3*w = 0. What is w? 1 Suppose -5*o - 83 = a, -3*a = o + a + 9. Let k = o - -17. Let -1/4*y**2 + k - 1/4*y = 0. What is y? -1, 0 Suppose -21 = -7*j - 0*j. Determine f, given that f**2 + 4*f**2 - 1 - j*f**2 - 3*f**2 + 2*f = 0. 1 Let x be (39/234)/(((-10)/(-5))/8). Factor -8/9*c - 2/9*c**2 - x. -2*(c + 1)*(c + 3)/9 Let p(i) = 2*i - 7. Let w be p(3). Let x be w/
{ "pile_set_name": "DM Mathematics" }
is divided by 1410. 748 What is the remainder when 40095 is divided by 1056? 1023 Calculate the remainder when 29828 is divided by 1491. 8 What is the remainder when 16395 is divided by 29? 10 Calculate the remainder when 305467 is divided by 7636. 27 Calculate the remainder when 16955 is divided by 139. 136 Calculate the remainder when 3478 is divided by 947. 637 What is the remainder when 4937 is divided by 4875? 62 What is the remainder when 75703 is divided by 75696? 7 Calculate the remainder when 10139 is divided by 3374. 17 Calculate the remainder when 109293 is divided by 759. 756 What is the remainder when 8465 is divided by 24? 17 What is the remainder when 20622 is divided by 299? 290 Calculate the remainder when 23972 is divided by 3906. 536 What is the remainder when 28959 is divided by 32? 31 What is the remainder when 7361 is divided by 104? 81 What is the remainder when 268 is divided by 136? 132 Calculate the remainder when 1328 is divided by 190. 188 What is the remainder when 28990 is divided by 14491? 8 Calculate the remainder when 1785 is divided by 261. 219 What is the remainder when 2301996 is divided by 159? 153 Calculate the remainder when 188230 is divided by 264. 262 Calculate the remainder when 7998 is divided by 1333. 0 Calculate the remainder when 3738 is divided by 1234. 36 What is the remainder when 24837 is divided by 26? 7 What is the remainder when 1911 is divided by 1047? 864 Calculate the remainder when 21332 is divided by 94. 88 What is the remainder when 2705 is divided by 88? 65 What is the remainder when 665 is divided by 611? 54 What is the remainder when 1431 is divided by 600? 231 Calculate the remainder when 2524 is divided by 88. 60 Calculate the remainder when 65029 is divided by 194. 39 Calculate the remainder when 4023 is divided by 986. 79 What is the remainder when 2474 is divided by 151? 58 Calculate the remainder when 5941 is divided by 113. 65 Calculate the remainder when 1905 is divided by 193. 168 Calculate the remainder when 33383 is divided by 47. 13 What is the remainder when 123350 is divided by 1055? 970 Calculate the remainder when 104461 is divided by 75. 61 Calculate the remainder when 1294 is divided by 217. 209 What is the remainder when 10912 is divided by 455? 447 What is the remainder when 507034 is divided by 32? 26 What is the remainder when 107696 is divided by 257? 13 What is the remainder when 55556 is divided by 55550? 6 What is the remainder when 970 is divided by 254? 208 Calculate the remainder when 7466 is divided by 131. 130 Calculate the remainder when 17346 is divided by 21. 0 What is the remainder when 967 is divided by 176? 87 Calculate the remainder when 7223 is divided by 84. 83 Calculate the remainder when 421077 is divided by 120. 117 What is the remainder when 22769 is divided by 2069? 10 What is the remainder when 80189 is divided by 3818? 11 Calculate the remainder when 17116 is divided by 694. 460 Calculate the remainder when 45690 is divided by 662. 12 Calculate the remainder when 244386 is divided by 1674. 1656 Calculate the remainder when 44282 is divided by 29. 28 Calculate the remainder when 25861 is divided by 6446. 77 Calculate the remainder when 33542 is divided by 16750. 42 What is the remainder when 72662 is divided by 36317? 28 What is the remainder when 268971 is divided by 203? 199 What is the remainder when 46584 is divided by 208? 200 What is the remainder when 17093 is divided by 263? 261 What is the remainder when 272973 is divided by 653? 19 Calculate the remainder when 388 is divided by 241. 147 Calculate the remainder when 190029 is divided by 1284. 1281 What is the remainder when 1876208 is divided by 39? 35 What is the remainder when 13513 is divided by 11? 5 Calculate the remainder when 411 is divided by 45. 6 Calculate the remainder when 299528 is divided by 9. 8 Calculate the remainder when 14328 is divided by 175. 153 Calculate the remainder when 112 is divided by 3. 1 What is the remainder when 609342 is divided by 33851? 24 Calculate the remainder when 62320 is divided by 42. 34 What is the remainder when 93970 is divided by 109? 12 What is the remainder when 8050 is divided by 4007? 36 Calculate the remainder when 63808 is divided by 12724. 188 What is the remainder when 10390 is divided by 1714? 106 Calculate the remainder when 12657 is divided by 252. 57 What is the remainder when 1846 is divided by 32? 22 Calculate the remainder when 20025 is divided by 2860. 5 What is the remainder when 1799 is divided by 954? 845 What is the remainder when 16016 is divided by 4002? 8 What is the remainder when 11277 is divided by 1024? 13 Calculate the remainder when 372 is divided by 88. 20 What is the remainder when 13853 is divided by 93? 89 What is the remainder when 4699 is divided by 148? 111 Calculate the remainder when 14172 is divided by 246. 150 Calculate the remainder when 4208 is divided by 325. 308 What is the remainder when 3509 is divided by 6? 5 Calculate the remainder when 121228 is divided by 45. 43 Calculate the remainder when 1296 is divided by 256. 16 Calculate the remainder when 265706 is divided by 364. 350 Calculate the remainder when 7585 is divided by 1911. 1852 Calculate the remainder when 391244 is divided by 39. 35 What is the remainder when 3274 is divided by 58? 26 What is the remainder when 11904 is divided by 14? 4 Calculate the remainder when 5664 is divided by 30. 24 Calculate the remainder when 13847 is divided by 538. 397 Calculate the remainder when 6650 is divided by 168. 98 What is the remainder when 162457 is divided by 54124? 85 Calculate the remainder when 432524 is divided by 74. 68 What is the remainder when 2768 is divided by 34? 14 Calculate the remainder when 11061 is divided by 1125. 936 What is the remainder when 23605 is divided by 347? 9 What is the remainder when 5903 is divided by 1475? 3 Calculate the remainder when 2716 is divided by 73. 15 What is the remainder when 200745 is divided by 26? 25 Calculate the remainder when 10797 is divided by 13. 7 Calculate the remainder when 83740 is divided by 41859. 22 Calculate the remainder when 10605 is divided by 354. 339 What is the remainder when 47566 is divided by 164? 6 Calculate the remainder when 15898 is divided by 548. 6 Calculate the remainder when 512 is divided by 161. 29 What is the remainder when 1729 is divided by 23? 4 What is the remainder when 8939 is divided by 203? 7 Calculate the remainder when 30811 is divided by 209. 88 Calculate the remainder when 9494 is divided by 593. 6 Calculate the remainder when 4224 is divided by 103. 1 What is the remainder when 151469 is divided by 6? 5 What is the remainder when 3346 is divided by 161? 126 What is the remainder when 19106 is divided by 13? 9 What is the remainder when 4439 is divided by 4174? 265 Calculate the remainder when 851 is divided by 843. 8 Calculate the remainder when 41210 is divided by 437. 132 What is the remainder when 30538 is divided by 6055? 263 What is the remainder when 177324 is divided by 171? 168 What is the remainder when 15413 is divided by 64? 53 Calculate the remainder when 13224 is divided by 22. 2 Calculate the remainder when 7994 is divided by 77. 63 Calculate the remainder when 12696 is divided by 134. 100 Calculate the remainder when 27026 is divided by 179. 176 What is the remainder when 1405 is divided by 251? 150 Calculate the remainder when 2450656 is divided by 11. 10 Calculate the remainder when 1367 is divided by 411. 134 What is the remainder when 18952 is divided by 4532? 824 What is the remainder when 308 is divided by 114? 80 Calculate the remainder when 52738 is divided by 36. 34 What is the remainder when 52831 is divided by 68? 63 Calculate the remainder when 62710 is divided by 117. 115 What is the remainder when 5881 is divided by 32? 25 Calculate the remainder when 10912 is divided by 68. 32 Calculate the remainder when 67873 is divided by 18. 13 Calculate the remainder when 3660 is divided by 456. 12 What is the remainder when 1845 is divided by 168? 165 What is the remainder when 307708 is divided by 197? 191 What is the remainder when 2788 is divided by 362? 254 Calculate the remainder when 405503 is divided by 198. 197
{ "pile_set_name": "DM Mathematics" }
*j**2 + 2100*j - 2092. Give q(349). 2 Let u(b) = 11134*b + 189401. What is u(-17)? 123 Let h(b) = -b**3 - 10*b**2 + 1187*b + 10782. Calculate h(-9). 18 Let c(r) = 2*r**2 + 202*r - 602. Determine c(3). 22 Let s(z) = 55*z**2 - 706*z + 530. What is s(12)? -22 Let h(j) = -3*j**2 + 4039*j + 94409. Calculate h(-23). -75 Let g(r) = 4868*r + 452889. Give g(-93). 165 Let h(p) = -8*p**2 + 898*p - 6090. Determine h(105). 0 Let h(k) = -8*k**2 - 298*k - 536. What is h(-2)? 28 Let f(j) = -82111*j - 1149573. What is f(-14)? -19 Let i(s) = 22*s - 513. Give i(-15). -843 Let w(x) = -119*x**2 - 345*x - 166. What is w(-2)? 48 Let r(d) = -d**2 + 1147*d + 37819. Determine r(-32). 91 Let a(n) = 930*n**2 + 12086*n - 64. Give a(-13). -12 Let x(s) = s**3 + 88*s**2 - 2393*s + 2969. Give x(-110). -1 Let f(z) = -9*z**2 + 204*z - 30. Give f(-6). -1578 Let h(v) = v**3 - 97*v - 48. Determine h(-16). -2592 Let d(u) = 118396*u - 20245719. Determine d(171). -3 Let k(i) = 2938*i + 32346. Determine k(-11). 28 Let q(l) = -35*l**3 + 30*l**2 + 41*l - 1. Calculate q(-1). 23 Let f(p) = 18943*p - 7974917. Calculate f(421). 86 Let l(b) = -355*b**2 + 1061*b - 9. Calculate l(3). -21 Let g(c) = -c**3 - 24*c**2 + 10256*c + 367. What is g(90)? 7 Let h(c) = -3*c**3 + 129*c**2 - 255*c + 312. What is h(41)? -57 Let f(v) = -10*v**3 - 166*v**2 - 145*v - 781. What is f(-16)? 3 Let l(o) = 14*o**2 + 676*o + 7043. Determine l(-33). -19 Let f(l) = 37*l**2 - 19*l - 9. Determine f(-1). 47 Let p(j) = 2672*j + 251132. Determine p(-94). -36 Let w(j) = 33244*j + 465425. Calculate w(-14). 9 Let v(s) = -5*s**3 + 75*s**2 + 373*s + 28. What is v(-5)? 663 Let j(d) = 89*d**2 + 2043*d - 63. Determine j(-23). 29 Let i(c) = -371*c + 1369. Give i(3). 256 Let o(h) = -10*h**2 + 61*h + 2473. What is o(-13)? -10 Let j(x) = x**3 + 6090*x**2 - 109946*x + 17. What is j(18)? -19 Let c(d) = 2100*d + 2108. Calculate c(-1). 8 Let q(a) = a**3 - 35*a**2 - 960*a + 46. Give q(53). -272 Let l(t) = t**3 + 14*t**2 - t - 12. Give l(-6). 282 Let i(h) = 89*h + 3081. Give i(-38). -301 Let r(y) = -813730*y + 4882373. Calculate r(6). -7 Let g(w) = -w**3 - 62*w**2 - 924*w + 26. Give g(-37). -11 Let j(f) = f**3 - 85*f**2 - 2906*f - 528. Determine j(-26). -8 Let g(r) = 54*r**3 - 4*r**2 + 87*r - 170. Determine g(2). 420 Let i(k) = 41*k**3 + 121*k**2 - 12*k - 26. Determine i(-3). -8 Let o(b) = b**2 + 85*b - 5364. Give o(-124). -528 Let y(s) = -s**3 + 890*s**2 + 6261*s - 132. Calculate y(-7). -6 Let x(j) = 7*j**2 + 1418*j - 811. What is x(-203)? -202 Let d(o) = -o**2 - 37978*o - 948733. What is d(-25)? 92 Let s(q) = -127*q + 11102. What is s(74)? 1704 Let j(x) = -9*x**2 - 150*x - 661. Determine j(-7). -52 Let v(f) = -f**3 - 923*f**2 - 210024*f - 6179. Determine v(-516). 13 Let u(s) = -s**3 + 202*s**2 - 2296*s + 50. Calculate u(12). -142 Let i(c) = -4*c - 566. Calculate i(-29). -450 Let y(t) = -t**3 + 1693*t**2 + 8472*t - 90. Determine y(-5). 0 Let b(v) = v**3 + 547*v**2 - 1629*v + 316816. Calculate b(-551). -9 Let d(y) = -26622*y - 2049885. Determine d(-77). 9 Let x(c) = -8251*c - 849508. Determine x(-103). 345 Let f(y) = -6*y**3 - 30*y**2 + 628*y - 38. Calculate f(-13). -90 Let v(c) = 2537*c - 91288. Calculate v(36). 44 Let i(t) = 658*t + 3382. Give i(-4). 750 Let z(s) = 2*s**2 + 79*s - 3519. What is z(-66)? -21 Let f(h) = -4*h**3 + 123*h**2 - 97*h + 212. What is f(30)? 2 Let c(j) = 340*j**2 - 10535*j - 124. What is c(31)? 31 Let n(c) = -3607*c - 57672. Give n(-16). 40 Let z(v) = -6*v**2 + 865*v - 12947. Calculate z(17). 24 Let l(u) = 3129*u - 807. What is l(0)? -807 Let b(i) = -i**3 - 37*i**2 - 687*i - 6243. Give b(-18). -33 Let a(c) = c**3 + 270*c**2 - 353*c - 95278. Determine a(-270). 32 Let m(d) = -2*d**3 - 998*d**2 + 13298*d + 1. Calculate m(13). -181 Let m(n) = -16*n**2 + 350*n - 872. What is m(21)? -578 Let v(z) = -1343*z - 20199. Calculate v(-15). -54 Let r(g) = -22762*g - 10470509. Calculate r(-460). 11 Let s(y) = -16*y**2 - 2448*y - 11927. Give s(-5). -87 Let k(l) = -550*l**2 + 12646*l + 237. Calculate k(23). 145 Let y(x) = -4*x**2 + 1943*x + 35690. What is y(-18)? -580 Let x(v) = v**3 - 57*v**2 - 275*v + 1829. Give x(61). -62 Let w(h) = -h**3 + 58*h**2 - 835*h + 16. Calculate w(25). -234 Let t(o) = 4461*o - 22278. Give t(5). 27 Let c(x) = 57960*x - 985322. Calculate c(17). -2 Let a(u) = 3*u**2 + 69*u - 700. Determine a(-31). 44 Let q(h) = 3318*h + 83348. What is q(-26)? -2920 Let v(k) = 6*k**2 - 2231*k - 83088. Calculate v(406). 142 Let c(j) = -j**3 - 18*j**2 + 100*j + 1909. Give c(-15). -266 Let r(o) = -o**3 - 65*o**2 - 896*o + 33. What is r(-45)? -147 Let v(c) = -113*c - 2788. Give v(-19). -641 Let q(t) = 4*t**2 - 299*t - 829. Determine q(78). 185 Let v(t) = 26*t**2 - 1812*t - 7217. Calculate v(-4). 447 Let u(b) = -76*b + 14393. Determine u(187). 181 Let v(j) = 1046*j + 148568. Calculate v(-142). 36 Let u(l) = 18*l**2 - 865*l + 1291. Determine u(48). 1243 Let s(m) = -959757*m + 18235382. What is s(19)? -1 Let f(h) = -183*h + 294445. Determine f(1609). -2 Let g(z) = -z**3 + 45*z**2 + 199*z - 65. Calculate g(49). 82 Let m(i) = 61*i + 4543. Give m(-77). -154 Let n(v) = -1299459*v - 5197790. Give n(-4). 46 Let l(z) = 2*z**2 - 130*z + 437. Determine l(69). 989 Let s(m) = 77692*m - 77696. Calculate s(1). -4 Let v(y) = 7*y**2 - 1312*y + 50992. Give v(55). 7 Let x(z) = -46*z**2 - 712*z + 39. Determine x(-16). -345 Let c(u) = 918*u - 29374. What is c(32)? 2 Let k(x) = -14*x**3 + 119*x**2 - 227*x - 17. Give k(2). -107 Let l(y) = 3*y**3 + 37*y**2 - 88*y - 97. Determine l(-14). 155 Let t(h) = 632*h**2 + 149*h - 291. Determine t(2). 2535 Let b(h) = 14734*h - 4140223. What is b(281)? 31 Let w(j) = 2*j**3 - 86*j**2 - 725*j - 107. What is w(-9)? -2006 Let l(k) = 82662*k + 413302. Calculate l(-5). -8 Let h(r) = -3433*r - 528684. Give h(-154). -2 Let u(b) = 2*b**3 - 19*b**2 + 1621*b - 14465. Calculate u(9). 43 Let g(s) = s**3 - s**2 - 606*s + 1209. Determine g(2). 1 Let l(z) = z**3 - 15*z**2 - 848*z + 2128. Give l(-24). 16 Let k(u) = -6*u**2 - 169*u - 7. Give k(-20). 973 Let p(z) = z**3 - 12*z**2 - 2745*z + 38162. What is p(14)? 124 Let u(m) = -5*m**3 + 183*m**2 - 106*m - 176. Give u(36). -104 Let h(k) = 9021*k - 10256. Determine h(1). -1235 Let c(l) = l**3 + 19*l**2 + 6191*l + 18421. Determine c(-3). -8 Let d(f) = -f**3 + 523*f**2 + 1034*f + 8409. What is d(525)? 9 Let b(r) = -6954*r - 152553. Calculate b(-22). 435 Let t(g) = 41*g**2 - 103007*g - 581657. Determine t(2518). 1 Let d(b) = -3*b**3 - 923*b**2 + 357*b + 15094. What is d(-308)? 2 Let d(n) = -n**3 - 53*n**2 + 270*n - 354. Determine d(-57). -2748 Let a(r) = -545*r - 5822. Give a(-11). 173 Let t(a) = 8*a**3 - 52*a**2 - 21*a - 89. What is t(7)? -40 Let f(q) = 2*q**3 - 156*q**2 + 147*q + 601. What is f(77)? 62 Let f(d) = -d**3 - 15*d**2 - 494*d - 2237. What is f(-5)? -17 Let x(n) = -16*n + 4195. Give x(278). -253 Let v(t) = 10287*t + 13722857. Determine v(-1334). -1 Let l(h) = h**3 - 70*h**2 - 489*h + 29676. What is l(71)? -2 Let s(m) = 5*m**3 + 10*m**2 - 416*m + 1404. Calculate s(4). 220 Let o(u) = -2419806*u - 12099024. Determine o(-5). 6 Let b(l) = 1794*l + 471889. Determine b(-263). 67 Let y(i) = i**3 + 18*i**2 + 42*i + 12. Calculate y(-7). 257 Let t(p) = -4*p**2 + 117*p - 774. Give t(19). 5 Let c(u) = u**3 - 25*u**2 - 36*u + 137. What is c(26)? -123 Let i(z) = -31*z**3 + 313*z**2 + 11*z - 22. Calculate i(10). 388 Let v(s) = s**3 - 10*s**2 - 91*s + 1146. Calculate v(18). 2100 Let g(n) = 11*n**3 + 476*n**2 - 63*n - 8292. Determine g(-43). -36 Let k(m) = -m**2 - 265*m + 27557. Calculate k(-345). -43 Let r(g) = 16*g**2 - 481*g + 33. Determine r(29). -460 Let y(s) = -316*s - 27509. Determine y(-87). -17 Let o(w) = 7*w**2 - 26*w - 411. Determine o(-15). 1554 Let d(p) = 3*p**2 - 2010*p - 43519. Give d(-21). 14 Let m(r) = r**2 - 34007*r + 1392590. Give m(41). -16 Let b(z) = 4*z**2 - 107*z + 494. Determine b(6). -4 Let l(k) = -k**2 + 112*k - 1250. Give l(100). -50 Let b(a) = 2413*a - 17650. Determine b(8). 1654 Let q(c) = -5*c**2 + 539*c + 9917. Determine q(124). -127 Let v(k) = 3*k**3 + 195*k**2 - 237*k - 2592. Calculate v(-66). -18 Let j(h) = h**3 + 26*h**2 - 609*h + 14295. What is j(-46)? -11 Let o(n) = 230*n**2 + 6751*n + 2356. What is o(-29)? 7 Let l(f) = -f**2 + 115*f + 877. Give l(-8).
{ "pile_set_name": "DM Mathematics" }
) = -5*v - 6. Let d = 13 + -61. Calculate the lowest common multiple of o(-4) and (296/6)/2 + 32/d. 168 Let w = -8221 + 82287/10. Let l be 28514/(-10)*(-15)/48. Let g = 896 - l. Calculate the common denominator of w and g. 80 Let t = -194765/126 + 10774/7. Suppose -3*o - 2 - 7 = 0. Calculate the common denominator of 339/(-54) + (-1)/o and t. 18 Let l = 15503/9 + -1715. Find the common denominator of 57/2 and l. 18 Suppose 5*j + 16*x = 15*x + 352, -3*x = -4*j + 274. What is the smallest common multiple of j and 84? 420 Let u = -45316321/1413 - -32071. Let y be (11/(-36))/((-128108)/44168 + 3). Let c = y - u. Find the common denominator of 59/12 and c. 84 Let o be ((-2061)/12)/1*24*1. Let d = o + 24667/6. Calculate the common denominator of d and 67/33. 66 Suppose 0 = -4*i + d - 0*d - 154, 10 = -5*d. What is the common denominator of 81/8 and 163/6 + 26/i? 8 Suppose 4*q - 9 = 3*n, 0 = 3*n - 4*n + 1. Calculate the lowest common multiple of 7 and q. 21 Let d = 417/97798 - -13/457. Calculate the common denominator of d and -121/12. 1284 What is the common denominator of -39/23 and (2328/(-1140))/(40/50)? 874 Let t be 1*(-3)/9*-6. Suppose -t*u - 348 + 4862 = 0. Let b = u - 9107/4. Find the common denominator of 24/7 and b. 28 Suppose -75 = -0*i + 3*i. Let p = i - -25. Suppose 3*b - 5*b + 10 = p. What is the lowest common multiple of b and 11? 55 Suppose -5*o = 4*n - 87, n + 3*o = -10 + 37. What is the smallest common multiple of n and (-9)/(-6) + (-105)/(-10)? 36 Let u = 10 + 6. Let m = 1463 - 1451. What is the least common multiple of u and m? 48 Suppose y - 80 = 11*y. Find the common denominator of 3/16 and 9/y - (-1 + 8/7). 112 Let d = -3387241/112 + 30242. Let x = -23/16 - d. What is the common denominator of -14*5/(-8) - -1 and x? 28 Suppose -5*b - r = -2*r - 55, -b - 2*r = 0. Suppose -47 - 3 = -5*w. Calculate the least common multiple of w and b. 10 Suppose 0 = -2*a + 5*x + 83, 135 = 5*a - 4*x - 64. Calculate the least common multiple of 3 and a. 39 Let v = 121093/10 - 12099. Calculate the common denominator of 219/(-730)*365/(-96) and v. 320 What is the common denominator of (9*11/7128)/((-10)/(-42)) and -29/444? 4440 Let w(l) = -l**3 - l**2 - 11*l - 8. Let x be w(-5). Suppose -148*b = -x*b - 14. What is the lowest common multiple of 108 and b? 756 Let b = 1278 + -1257. What is the lowest common multiple of 123 and b? 861 Let t(k) = 3*k**2 + 52*k + 27. What is the smallest common multiple of 510 and t(-17)? 510 Let u = -2275 + 122785/54. Find the common denominator of (-221)/468 - 3/12 and u. 54 Let i(y) = -y**2 + 6*y + 1. Let h be i(6). What is the common denominator of ((-45)/96)/((-55)/(-70) - 1) and (146/(-40))/h + 1? 80 Let y be (-6 - -1)*(-6 + 2). Suppose 10*v = 5*v + y. What is the smallest common multiple of v and 6? 12 Calculate the common denominator of (4 - (-7)/(-2)) + (-255)/(-132) and 69/28. 308 Suppose -25*n = -27*n + 10. Suppose -214 = 5*m + 2*b, -2*m + n*b = -0*m + 103. Find the common denominator of -31/8 and m. 8 Let d = -2 + 10. Let p = 45 - 29. Suppose -19*k + p*k + 60 = 0. What is the smallest common multiple of k and d? 40 Let v(z) = 3*z**2 - z + 24. Calculate the smallest common multiple of 24 and v(0). 24 Let n(w) = 16*w - 6. Suppose 2*i - 23 = -5. What is the smallest common multiple of i and n(1)? 90 Let r = -189/2 - -100. Let m = 15767/10 + -1578. Calculate the common denominator of m and r. 10 Let l = 14957/12 - 1248. Find the common denominator of l and 2 + ((-333)/60)/(-3). 60 Suppose -7*z + 545 = -1009. Find the common denominator of 27/25 and ((z/55)/(-3))/(-2). 275 Let j = 17855/98637 + -236/539. Find the common denominator of j and -44/9. 549 Suppose -47*s + 4992 = -8*s. What is the smallest common multiple of s and 18? 1152 Let n = 199403/54 - 3693. What is the common denominator of -133/30 and n? 270 Let z be 16893/15 + 2 + -2. Let s = 1122 - z. What is the common denominator of -47/6 and s? 30 Let c = 44 - 25. Let a = c - -8. Let k = 8895/4 + -2241. Find the common denominator of a and k. 4 Suppose -f - 34 = -3*f - 5*b, -20 = -4*f + 2*b. Suppose 4*r - f*r = -24. What is the smallest common multiple of 28 and r? 56 Let m = 25431/16 + -1590. Let n be 4*392/(-4)*2. Calculate the common denominator of -1 + 3 + n/320 and m. 80 Let f = 13 + -10. Let h(y) = 6*y**2 - f + 2*y**2 - 11*y**2 - 5*y + y**3. Calculate the lowest common multiple of 22 and h(5). 22 Let y = -1928 + -3832. Let p = y - -57651/10. What is the common denominator of -17/8 and p? 40 Let t = -3214381/144 - -22322. Calculate the common denominator of 70/99 and t. 1584 Let w = 18 + -10. Suppose s - w - 22 = 0. Calculate the least common multiple of s and 21. 210 Let q = 53 + -32. Let r = -1690 - -20255/12. What is the common denominator of 0 - (q/(-8) - 1) and r? 24 Suppose 0 = -18*n + 12*n + 24. Calculate the least common multiple of 208 and n. 208 Suppose -i + 4 = -6. Calculate the smallest common multiple of i and ((-99)/18)/((-3)/6). 110 Suppose -4*b - 5*z = 232, -3*b - 3*z = -b + 116. Let f = b + 88. Calculate the lowest common multiple of f and 33. 330 Let t(d) = 215*d**2 + 4. Let p be t(-2). Let w = 6903/8 - p. What is the common denominator of -19/10 and w? 40 Let u = -11 + 26. Let t = -175 - -174. What is the smallest common multiple of u and (5 - 7)*(t + 3 + -4)? 60 Suppose 5*c = -z + 51, -12 + 57 = 5*c - 5*z. Let q = 12 + -26. Let x = q + 38. What is the smallest common multiple of x and c? 120 Let z = -4261 + 187399/44. Find the common denominator of 93/8 and z. 88 Let f = -3/17707 + 442921/1451974. Find the common denominator of f and 1/16. 656 Find the common denominator of (-5)/1 - -7 - 5159/2046 and 46/155. 930 Suppose -48 = -10*c + 7*c. Let a(u) = -u**3 + 5*u**2 - 3*u - 2. Let q be a(3). Suppose -18 = -q*d + 136. What is the smallest common multiple of d and c? 176 Let k = -2477/3568 - -3/446. Find the common denominator of (6/(-60))/((-3)/(-129)) and k. 80 Suppose 4*j + l = 2*l + 53, 2*l = 4*j - 58. Suppose 3*w - 48 = 39. Suppose -5*s = -w - 21. What is the smallest common multiple of s and j? 60 Let q be ((-1119)/204)/((-191423)/(-53)). Let p = q + 3/7156. Let w = p - 56385/3638. What is the common denominator of 125/6 and w? 6 What is the common denominator of (2/5)/(-8 + 27980/3475) and 53/18? 18 Let r = 46 + -28. Let c = 36 - r. Calculate the lowest common multiple of 20 and c. 180 Suppose 7 - 22 = -5*w - k, 3*w = k + 17. What is the common denominator of (-58)/32 + -4 + w and 31/14? 112 Let b = -19391/18 + 1076. What is the common denominator of b and 59/16? 144 Let h(n) = -n**3 - n**2 - 2*n + 2. Let t be h(-4). Suppose -2*z + 29 = o, 5*z - 3*o = 44 + 1. Find the common denominator of 32/9 and (t/(-15))/(16/z). 90 Calculate the least common multiple of (576/15)/(-4)*(-1365)/26 and 16. 1008 Let z(h) = 3*h - 5*h - 11*h. Let t be z(3). Let c = 115/3 + t. Calculate the common denominator of c and 56/9. 9 Let s = -2/177 - 1567/2301. Find the common denominator of -77/4 and s. 52 Suppose -u - 73 = 62. Calculate the common denominator of -5*9/u + 181/42 and (-6)/(-5) - (-1)/(-2). 70 Suppose y - 169 = -5*j, 2*y - 28 = -j + 4. What is the common denominator of (11/j)/((-4)/36) and 15/4? 68 Suppose 0 = -5*i - 33*z + 30*z + 459, -2*i - z = -183. Calculate the least common multiple of 35 and i. 630 Let a(y) be the first derivative of 2*y**3/3 - 5*y**2 + 14*y + 13. Let r be a(6). Find the common denominator of -71/3 and ((-2)/(-8))/(8/r). 48 Let g = 73681582984/891 + -82695359. Let q = g + 2/891. Find the common denominator of q and -71/21. 21 Let j(n) = -74*n - 692. Calculate the least common multiple of j(-10) and 132. 528 Let f(g) be the first derivative of -5*g**2/2 + 5*g + 2. What is the smallest common multiple of 10 and f(-3)? 20 Let n(j) = -j**3 - 4*j**2 + 3*j - 6. Let c be n(-5). Suppose -c*f + 405 - 317 = 0. Calculate the least common multiple of f and (-2)/8 + 89/4. 22 Suppose -5*j - 18*j + 483 = 0. What is the lowest common multiple of j and (4/8)/((-1)/(-18))? 63 Let w = 2166022355/41164 - 4344477/82. Let j = -40/251 + w. Let a = j - -349. What is the common denominator of -23/2 and a? 4 Let c be (-17)/((-15)/(-13) - 2). Let d = c + -787/66. What is the common denominator of d and 3*(-5)/(-3) + (-42)/378? 18 Let j = -46
{ "pile_set_name": "DM Mathematics" }
ose 2*c - 6*c = -2*r, 4*c = 4*r - 8. Suppose 13 = c*k + 3. Solve t = 5*b + 2*x, b - 6*b - 5*x = k for b. 2 Suppose 0 = -6*q + 85 - 13. Solve -4*o + 15 = -5*s, 2*o + q = -3*s + 3 for o. 0 Suppose 56*x = 57*x - 3. Solve -5*w = 2*o, x*o - 16 - 1 = w for o. 5 Suppose -3*z = -4*z + 6. Suppose -3*m + 0*m + 8 = d, -4*m - 5*d + 18 = 0. Suppose -m = s - z. Solve -5*b - l + 8 = 0, 0 = -s*b + 4*l - 12 + 4 for b. 1 Let y be 1*(-1)/3*-33. Let j = 13 - y. Solve 8 = j*l - 3*i, -3*l + 3*i = 1 - 7 for l. -2 Let o be 3/((-6)/(-2)) + 2. Suppose o*a = a. Solve 0 = -4*i + 4 - a, -2*x = -2*i + 12 for x. -5 Suppose -3*i + i - 4 = 0. Let b be 1 + (0/(-1) - i). Let y(h) = -4*h**3 + h**2 - 1. Let t be y(-1). Solve -5*o = -b*r + 8*r, 16 = t*o for r. -4 Let j(x) = -x**3 + 9*x**2 + 9*x + 10. Let v be j(10). Suppose 4*s - o + 3*o = 24, v = -5*s + 5*o + 15. Solve 1 = 4*y - s*w + 5, 0 = 2*y + w + 2 for y. -1 Let q(g) = -g + 17. Let s be q(12). Let p be (-6)/(-2)*(42/7 - 5). Solve -3*i - p*j - 6 = 0, s*i - 8 = 3*j + 14 for i. 2 Let p(r) = r**2 - r + 1. Let k be p(2). Solve f - 2*a = -3, 4*a + 6 = 2*f + k*a for f. 5 Suppose 0 = -5*j - 23 + 43. Solve -2*m + j = -m, v = m for v. 4 Let l(r) = -r**2 - 7*r + 3. Let q be l(-7). Suppose 4*b = q*b. Solve 7 = -k + 5*w, -5*k + b = -5*w - 5 for k. 3 Let q = -62 + 64. Solve -3*x = 4*p + 11, 6*p = p - q*x - 5 for p. 1 Let m(s) = 4*s - 5. Let r be m(2). Solve r*c = -5*w - 2, -2*w - 4 - 4 = 3*c for c. -4 Let i = -7 - -25. Suppose -i = -2*l - l. Let j be 1/(-1 + 9/l). Solve -4 = r + j*f + 2*f, -3*r - 2*f = 12 for r. -4 Let u(p) = p**3 - 2*p**2 + p - 4. Let l be u(3). Suppose 2*w - 6 - l = 0. Solve -x - 2*c = -w, 4*c + 1 = 3*x - 2*x for x. 5 Let i = 4 - 5. Let x be (2 + 1 + -2)/i. Let f(l) = 6*l**2 + 2*l + 1. Let c be f(x). Solve 6 + 2 = -4*h - 4*m, c*h + m = 10 for h. 3 Suppose 5 + 0 = n. Suppose n*d - 19 = 11. Suppose 5*m - d*l - 80 = -l, -4*m = -2*l - 56. Solve 0*o + o = -2*b - m, -2*b = 3*o + 16 for b. -5 Let m = 35 - 31. Solve -5*j + u - m = -17, 5*j - 2*u = 16 for j. 2 Suppose 23 - 5 = 3*b - 3*i, 5*b + 2*i - 16 = 0. Solve x = 3*w + 4 + 1, -b*x - 5*w + 20 = 0 for x. 5 Let t(r) = -r**2 + 8*r + 2. Let x be t(8). Let p = 5 + -4. Let o be (-1 + p)*(-3)/6. Solve -x*s + 3*l + 5 = o, -4*s + 9*s - 7 = 2*l for s. 1 Let l(s) be the first derivative of s**3/3 + 3*s**2/2 - 4*s + 1. Let u be l(-6). Let a = -1 - -3. Solve -a*j - u = -4*q, -3*q = -0*j + 4*j - 16 for j. 1 Let h(z) = 2*z - 3. Let r be h(-3). Let s(t) = -t**2 - 9*t + 4. Let d be s(r). Let y be (-105)/(-20) - 1/d. Solve 5*w + k = -k - 23, y*w + 5*k + 20 = 0 for w. -5 Let k = 58 - 15. Let f = -23 + k. Solve -5*x - f = i, 0 = 3*x + i + 15 - 5 for x. -5 Suppose -3*r - 14 = -4*w, w + 4*r - 23 = -2*w. Let y = -2 + w. Solve -y*c = x + 10, -5*x + c + 14 = -0*x for x. 2 Suppose -4*w - 9 = -25. Let v = 4 - w. Solve 0 = 4*u + 4, -5*k + v*u + 2*u - 23 = 0 for k. -5 Suppose -5*k + 0*f + f = -7, -4*k + 3*f + 10 = 0. Let u(y) = -2 - k + 0 + y - 6*y**2 + y**3. Let i be u(6). Solve -2*a - 5 = -3*g, -i*a = -0 + 3 for g. 1 Let m(d) = -24*d**2 + d + 1. Let o be m(-1). Let w be 10/(-4)*o/30. Let a be 0 + w + -1 + 2. Solve -4*u + 6*l - 1 = a*l, 2*u = -2*l - 4 for u. -1 Let r(v) = v**2 + 14*v - 13. Let a be r(-15). Solve -a*n - 3 = 2*x - 3*n, -4*n + 23 = 3*x for x. 1 Suppose -x - 7 = 2*x - m, -2*x - 6 = -2*m. Let g be 8*(x - -4)/4. Solve -d + 4 = 0, -14 + g = -3*l - 4*d for l. -2 Let k = 32 - 30. Let y be 3*2*(-2)/(-3). Solve y*s - 4 = -4*x, 2*s - k*x = -s + 3 for s. 1 Suppose 2*v + 2*z = 10, v = -0*z + 2*z - 4. Suppose 2*b + v = -0*b. Let x be b - (-7 - (-4 + 3)). Solve x*s = 5*w + 25, -4*s + 2*w + 8 = 4*w for s. 3 Let t be (-4)/2 + 2 + 0. Suppose t = c - 4. Suppose b + 15 = c*b. Solve r - 4*x = -11, 3*r = x + b + 6 for r. 5 Let l(w) = -w + 1. Let i be l(-2). Suppose 5*s - 5 = -i*c + 5, 0 = 4*c - 3*s - 23. Solve -5*o = p + 1 - 0, c*o - 5*p = -25 for o. -1 Let w be ((-4)/3)/(20/(-30)). Solve 5*x - 3*s = -w, 2*s + 2*s = -x - 5 for x. -1 Let d(q) = -2*q**2 - 8*q - 2. Let p be d(-3). Solve -2*l - 10 = 3*l, p*x = -l + 2 for x. 1 Suppose 140 = 7*n - 2*n. Solve -h - 4*a + 18 = 0, 0*h - 5*a = 4*h - n for h. 2 Suppose -4*i - 3*h + 45 = 0, 4*i - 51 = 4*h - h. Suppose 5*f - 5*a + 5 = 0, -5*f - 2*a + i = -11. Solve -4*p + v = -6 - f, -3*v - 9 = -3*p for p. 2 Let d = -1 + 5. Suppose -4 + 0 = -d*c. Let z(p) = p**2 - p + 2. Let l be z(2). Solve l*v + 0*v + 1 = -3*h, -v - c = h for v. 2 Let t(x) = -x**2 - 8*x - 10. Let w be t(-5). Suppose w*k = 2*k + 15. Solve -3*z - 11 = -5*n, 0 = -z + 2*z - k*n + 7 for z. -2 Let b be (78/(-12))/((-2)/(-4)). Let h = b + 19. Suppose 2*j = -5*l + h, 5*j = -l + 10 + 5. Solve -j*x + 2*i + i - 6 = 0, -3*x - i = -6 for x. 1 Suppose 6*i = 5 + 55. Solve c - 9 = -3*o, i = -5*o + 25 for c. 0 Let o(z) = -z**3 + 14*z**2 - 13*z + 4. Let c be o(13). Solve -c*a + 7 = -l - 7, 3*l = 6 for a. 4 Let a be 1*(0 + 2 + -1). Let h be (3 - 4)*a*-4. Solve b - h*w = -17, -2*b - 4*w = 2*b + 8 for b. -5 Suppose 2*l + 4*s - 8 = 0, 2*s = -s + 3. Solve 2*j + 3*y = l, 0 = j - 2*y + 6*y + 4 for j. 4 Suppose -4*b = -b - 18. Suppose -2*t = -b*t + 8. Suppose -2 = -5*p + 3*h + 14, -2*p = t*h. Solve 4*y + 2*j = -18, 3*j = p*y - 0*j + 5 for y. -4 Suppose -3*j = -5*n - 29, n - 6*n - 17 = j. Solve -3*v - 4*k + 3*k = -4, -v + j*k + 8 = 0 for v. 2 Let q be (-10)/45 + (-20)/(-9). Solve 4*c - q*i = -10, -5*c - 2 - 16 = 3*i for c. -3 Let b(o) = -o**2 + 9*o + 6. Let c be b(8). Let x be (1/(-2))/(6/(1*-12)). Solve -3*a + c + 5 = 2*y, -2*y = -a + x for a. 5 Let c(y) = 5*y + 5. Let m(s) = 0 - 3 + 2*s - 3*s + 2. Let u(b) = 2*c(b) + 9*m(b). Let o be u(3). Solve g - 4*d - 20 = o*g, 3*d - 14 = 5*g for g. -4 Suppose 5*f - 106 = 9. Solve f = 4*u - 5*q, -5*u + 2*u + 5*q + 21 = 0 for u. 2 Suppose -f - 2*u + 35 = -7*u, 0 = -5*f - u + 123. Suppose 4*g - 8 = 4*t - 24, 2*g + 5*t + 8 = 0. Let a = g + 24. Solve 5*m + a = 2*h - h, 5*h = f for m. -3 Let o be (-3)/45*-5*0. Solve -5*z + 25 = 4*l, o = -5*l + 4*z - 11 - 9 for l. 0 Suppose 0 = 3*c - n - 52, 28 = 3*c + n - 28. Suppose 0 = 4*w + 2 - c. Suppose -5*b + 22 - 7 = 0. Solve 0 = -3*p + w*p - 5*z - b, -p + 3 = -2*z for p. 3 Suppose -5*c - 3 = 7. Let o = 4 + c. Solve -2*n - 4*q + 6 = 0, -3*q + q = o*n - 8 for n. 5 Suppose -4*v = -2*w, -2*w + v = -3 - 3. Solve 4*h + 0*c = -w*c - 20, -3*h - 4*c = 17 for h. -3 Let l = 4 + 3. Let i = 11 - l. Let a(j) = j**2 - 5*j - 3. Let n be a(6). Solve -n*v - 3 = -m - 0*m, i*v = 4*m - 12 for m. 3 Let x be 20/6*(-24)/(-10). Let d be (4/x)/((-2)/(-32)). Suppose -6*k + 4*k = 0. Solve o - d = -3*v, k = -3*o + 2*v - 0*v + 13 for o. 5 Let q(b) = b - 2. Let c be q(5). Suppose 0 = -0*s - c*s + 12. Solve s*o - 10 = 5*v - o, o - 8 = -2*v for v. 2 Let p be 4 + -19 + -4 + 3. Let r = 20 + p. Solve 0 = -3*q + r*i + 13, -5*q - 9 = -4*q + 2*i for q. -1 Let l be (-4)/(-14) + (-164)/(-14). Suppose 5*b - 3 - l = 0. Suppose -11*x + 6*x + 115 = 0. Solve 4*s - b*z = -7, z = -s + 6*z - x for s. 2 Let m be (-7)/14 - 14/(-4). Solve -4*o = m*r + 2*r - 22, -r + 5 = o for o. 3 Suppose -3*m = -4*m + 9. Let p = m + -6. Solve -4*u = p*y - 7, 5*y + u - 8 = -2*u for y. 1 Let w(c) = -c - 1. Let y be w(-2). Let p be -4*y/(-2)*1. Solve 2*u - 4*j = -u + 12, 3 = p*u - j for u. 0 Let x(f) = f - 4. Let z be x(7). Suppose 3*y + z*j - 5 = 5*y, 4*y - 20 = -4*j. Solve -2*k = y*p - 2, 0 - 6 = -3*p for k. -1 Suppose 18 = -4*u + 7*u. Let i = u + -3. Suppose 0 = -5*g - 25, -i*g + 0 = w + 7. Solve 2 + 6 = -4*f, 4*f + w = 2*z for z. 0 Let u(t) = -t**2 + 10*t + 16. Let i be u(11). Solve i*n + 15 = -b + 5*b, n = -5*b + 26 for b. 5 Let z(c) = c**2 + 16*c - 35. Let y be z(-18). Solve h - 3*h + 3*u + 7 = 0, -u = h - y for h. 2 Let t(k) = 3*k**2 - 3*k - 4. Let q(b) = b + 8. Let v be q(-11). Let o be t(v). Let j = 55 - o. Solve m = 5*p - j, 2*p + m = 8 + 4 for p. 5 Let d = -6 + 9. Suppose d*p + 13 = 5*f, -f = -3*f + p + 5. Solve 5*y = f*y + h + 5, h + 7 = 5*y for y. 1 Let r be (1 + 0)/(2/16). Let s be (-1)/(-2)*r/2. Let j be 5/s - 7/(-14). Solve -i = 2*i - h - 2, -3*i + 18 = j*h for i. 2 Let t(d) = -1 + d**2 + 0 + 0. Let u be t(-2). Solve -2*l + l = 5*v, -3*l = u*v + 12 for v. 1 Let y(q) = -75*q. Let b be y(-1). Let u be b/(-12) + 1/4. Let f(r) = r**2 + 6*r + 3. Let z be f(u). Solve -2*n + 18 - z = 5*k, -4 = -n + k for n. 5 L
{ "pile_set_name": "DM Mathematics" }
g**3 + g**2 + g. Let b(i) = 21*i**3 + 4*i**2 + 6*i + 1. Let u(w) = b(w) - 4*q(w). What is u(f)? -18 Let j = -1986 + 1978. Let n(o) = o**3 + 7*o**2 - 3*o. What is n(j)? -40 Let w(g) = g**2 - 8*g + 9. Let s be w(7). Let u(q) = -7*q - 23*q**2 - 4 - 21*q**2 - q**3 + 37*q**s. Give u(-6). 2 Let k = 6 - 13. Let q(m) = m**3 + 6*m**2 - 5*m + 12. Let v be q(k). Let x(z) = z**3 + 2*z**2 + z - 2. What is x(v)? -4 Let j(u) = -7*u**3 - 22*u**2 + 9*u + 3. Let r(c) = 4*c**3 + 11*c**2 - 5*c - 1. Let h(p) = -3*j(p) - 5*r(p). Calculate h(-11). 18 Let u(m) = -m**3 - 6*m**2 + 7*m - 3. Let p be (8 + (-2)/(-2))/1. Let y = p + -16. Calculate u(y). -3 Let y = 1083 + -1092. Let b(l) = -l**2 - 8*l - 4. Give b(y). -13 Suppose 8*x - 2 = -k + 11*x, 2*k = -4*x + 4. Let d(n) be the second derivative of -n**4/12 + 2*n**3/3 - 2*n. Calculate d(k). 4 Let j = -74 - 12. Let x = -84 - j. Let r(k) = -4*k**2 + 1. What is r(x)? -15 Let y(s) = -6*s - 3. Let o(v) = v**3 - 25*v**2 + 66*v + 5. Let i be o(22). Determine y(i). -33 Let m(s) be the third derivative of -s**5/60 - s**4/8 + 8*s**3/3 + 4*s**2 + 24*s. Give m(-5). 6 Let v(g) = 9*g**2 + 10 + 261*g - 130*g - 140*g - g**3. Give v(8). 2 Let q = -14 - -15. Let n(y) = -y**2 + y - 1. Calculate n(q). -1 Let s(k) be the second derivative of k**6/360 - 7*k**5/120 + k**4/4 + 9*k**3/2 + 27*k. Let n(u) be the second derivative of s(u). What is n(5)? -4 Suppose 25*k = r + 20*k + 11, 0 = 2*r - 3*k + 1. Let i(o) = -3*o - 8. Determine i(r). -20 Suppose 8*x - 2*h = 11*x - 14, 2 = 5*x - 2*h. Let d = 4 - 0. Let m(p) = -d + 3 + 4*p - 2. Calculate m(x). 5 Suppose 0 = 12*y - 10*y - 10. Let k(t) = 17*t**2 + y*t - t**3 - 35*t**2 + 13*t**2 + 7 - 2*t. Calculate k(-5). -8 Let x(i) = 17*i - 31. Let s(v) = 10*v - 16. Let j(d) = 7*s(d) - 4*x(d). Determine j(-6). 0 Let z(s) be the second derivative of 2*s**3/3 - s**2 + 210*s. Determine z(4). 14 Let b(p) = p**2 + 10*p - 13. Suppose -3*v + 29*x - 23 = 28*x, 3*x + 12 = 0. Determine b(v). -22 Let i = 860 + -866. Let g(j) = 15*j - 15. Let t(z) = z**3 + 5*z**2 + 2*z + 5. Let p be t(-4). Let u(l) = 7*l - 7. Let w(a) = p*u(a) - 6*g(a). Give w(i). -7 Let z(d) = d**3 - 9*d**2 + 9*d - 9. Suppose -6*i - 34 = -82. Give z(i). -1 Let w(y) = -y - 5. Let q be w(-7). Let l(n) = -n**3 - 3*n**2 + 10*n. Let p be l(-5). Let g(d) = d**2 + 3*d + d + p*d**q. Give g(-4). 0 Let z = -7 - -11. Suppose -j = 2*p + 2, 18 = 4*j - p - z*p. Suppose 0 = 4*c + 14 + j. Let o(m) = m**2 + 3*m - 3. Calculate o(c). 1 Let o(c) = -c**3 - 5*c**2 - 3*c - 2. Let y be o(-4). Let i(s) be the first derivative of -2*s**2 - 2*s + 97. What is i(y)? 22 Let l(g) = -g**3 - g**2 + 3*g - 2. Let v(c) = c**3 + 3*c**2 + 2*c + 3. Let i be v(0). Give l(i). -29 Let j = -24 - -31. Let t(m) = -4*m + 5. Let o(g) = g - 2. Let h(i) = j*o(i) + 2*t(i). Let r = -21 - -18. Calculate h(r). -1 Let z(u) be the first derivative of -1/3*u**3 - 6*u + 7/2*u**2 - 6. Determine z(5). 4 Let z(l) = 6*l**3 - l. Suppose 3 = 4*h - 9. Let t(x) = -x**3 + 2*x**2 + 4*x - 4. Let j be t(h). Let s(u) = 2*u**2 + 2*u + 1. Let b be s(j). Give z(b). 5 Let j = -7 - -12. Let i = 24 + -27. Let r(k) = 9*k**3 - 12*k**2 - k + 21. Let u(g) = 4*g**3 - 6*g**2 + 10. Let a(l) = i*r(l) + 7*u(l). Calculate a(j). -3 Let v(b) be the third derivative of b**6/120 - b**4/24 - 10*b**3/3 - 164*b**2 + 1. Calculate v(0). -20 Let j be (-21)/14 - (-2)/4. Let q(x) = -x**2 + 5*x + 1. Let l(u) = -u**2 + 6*u + 1. Let w(d) = 3*l(d) - 4*q(d). Determine w(j). 2 Let v(c) = -c**3 - c**2 + c. Let u(y) = 2*y**3 + 5*y**2 - 4*y + 1. Let a(f) = -u(f) - 3*v(f). What is a(3)? 11 Let n(g) = -g**2 + 7*g + 19. Let p = 1060 + -1051. What is n(p)? 1 Let i be 52/16 - 3/12. Let f be (9 - 2)*6/21. Let v(b) = f*b**2 + 3 - 5 - 4*b**2 + 6*b - 3*b. Determine v(i). -11 Let f = 120 - -108. Let c = f + -226. Let k(l) = 1. Let n(t) = 2*t. Let h(o) = 2*k(o) + n(o). Give h(c). 6 Let o(m) = -7*m**2 + 6*m - 53. Let q(r) = 5*r**2 - 5*r + 49. Let h(b) = -3*o(b) - 4*q(b). What is h(0)? -37 Let m(i) = 3*i + 3. Let v be m(8). Let h(a) = -v*a + 32*a - 3 + 3*a**3 - 7*a**2 - 2*a**3. Suppose 3*g + 3*b + 0 = 33, 15 = 3*b. What is h(g)? -9 Let p(j) = 0 + 10*j**2 + 8*j**2 - 19*j**2 - 6 + j - 9. Suppose y = -3*y. Calculate p(y). -15 Let x(v) = -v + 3. Let y be x(-13). Suppose -u - 10 + y = 0. Let d(j) = j**2 - 8*j + 1. What is d(u)? -11 Let i(q) = 1 - 163*q**2 + q**3 + 160*q**2 + 2 - 1 - 2*q. Let a(s) = 4*s - 1. Let b be a(1). What is i(b)? -4 Suppose 19 = -2*p + 25. Let m(f) = -1 - 3*f**2 - 5*f**3 + 4*f**p + 2*f**2 + 2. What is m(-1)? 1 Suppose 167*j - 152*j = 60. Let o(n) = -n + 10. Calculate o(j). 6 Let o = -32 + 29. Suppose 4*v = 3*b - 14, v = 4*b - b - 8. Let q(z) = 3*z + z - z - z**b + 2*z**2. What is q(o)? 0 Let b(c) = 7*c**3 - 17*c**2 + 7*c + 5. Let o(m) = 3*m**3 - 8*m**2 + 4*m + 2. Let t(x) = -2*b(x) + 5*o(x). Let p be 2/8 - 133/(-28). Give t(p). 5 Let p = 27 - 23. Suppose -p*l - 4 = -0*l. Let c(y) = 8*y - 1. Give c(l). -9 Let q be ((-8)/10)/((-14)/35). Let a(d) = 1 + 0 - 6662*d**2 + 6659*d**2. Calculate a(q). -11 Let j = 8 + -2. Let h(d) = d**2 - 9*d + 7. Give h(j). -11 Let j be (-30)/1 - (-20)/20. Let i = -24 - j. Let t be 2 - i - (13 - 16). Let v(d) = -d**2. Determine v(t). 0 Let h(y) = -2*y - 28. Let x(f) = 2*f**3 + 4*f**2 + 3*f + 12. Let j be x(-3). Calculate h(j). 2 Let h(u) be the second derivative of -u**4/12 + u**3/6 - 5*u**2/2 - 4*u. Let o be -4 - (-1 + 6/(-2)). Give h(o). -5 Let h(x) = 2*x**2 + 3*x - 24. Let v(w) = 5*w**2 + 7*w - 48. Let c(f) = -7*h(f) + 3*v(f). Let q = 9 + -9. Give c(q). 24 Let v(p) = -p**3 - 6*p**2 + 6*p - 3. Suppose 0 = -13*b + 10*b + 18. Suppose -b = -3*x - 27. What is v(x)? 4 Suppose -2*s = 5*j - 41 + 122, 0 = 3*j - 9. Let x = -51 - s. Let k(r) = r - 2. Determine k(x). -5 Let h(u) = -2*u**3 - 4*u**2 - 2*u. Let n(z) = -2*z**2 - 3*z - 4. Let d = -21 + 19. Let a be n(d). Let i = 4 + a. Calculate h(i). 4 Let j(u) be the second derivative of u**3/3 - 15*u**2/2 + 3*u. Let b(p) be the first derivative of -p**2/2 + 8*p + 5. Let o(t) = 11*b(t) + 6*j(t). What is o(1)? -1 Let z(v) be the third derivative of v**6/120 - v**5/10 + v**4/24 - v**3 + v**2 + 11*v. What is z(6)? 0 Let u(n) = 4 + 7 - 8*n - 3 - 9. Let z = -2 - -3. What is u(z)? -9 Let p(u) be the first derivative of -21 - u**2 - 2/3*u**3 + 0*u + 1/4*u**4. Determine p(-2). -12 Let p = 413 - 418. Let m(a) = -a - 11. Calculate m(p). -6 Let m(x) = -x. Let d(b) be the third derivative of b**4/6 + b**3/3 + 15*b**2. Let t(g) = -2*d(g) - 6*m(g). Give t(-6). 8 Let t(f) = f**2 + f. Let w be -1*(1 + 1 - 18/2). Suppose -6*j = -5*j + z, -4*j - w = -3*z. Determine t(j). 0 Let r(d) = 2*d**3 - 8*d**2 - 10*d + 21. Let h be r(5). Suppose -c = 1 - 4. Let m(u) = -u**c - 2*u**2 - 11 + h - 8. Give m(-3). 11 Let u(l) = 7*l**2 - l. Let i be u(-1). Let t(n) = -n**3 + 2*n. Let p(r) = 5*r**3 - 7*r**2 - 16*r - 1. Let z(h) = -p(h) - 4*t(h). Determine z(i). 1 Let p = 244 - 238. Let s(i) = -i**2 + 6*i - 2. Determine s(p). -2 Let b(u) = u + 5. Let z be 440/(-66) - 15/(-9). What is b(z)? 0 Let y(s) = 7*s. Suppose 0 = 9*i - 17 + 26. Calculate y(i). -7 Let v(u) = 10*u - 4. Let p(q) = 17*q - 7. Let x(i) = -3*p(i) + 5*v(i). What is x(-6)? 7 Let g(f) = f - 1. Let t(j) = 12*j - 12. Let v(u) = 16*g(u) - t(u). Let s(q) = -13*q + 11. Let l(r) = -3*s(r) - 8*v(r). Determine l(-2). -15 Let m(b) = -2*b - 41. Let n be (-25)/(-30) - (-1875)/(-90). Give m(n). -1 Let o be -1*2 - (-9 - -6). Let y(g) = -1 + 2 + 2*g - 3*g + 0*g. Let u(j) = 2*j - 5. Let p(l) = u(l) + 6*y(l). Determine p(o). -3 Let m(j) = -5*j. Suppose 23 = -9*b - 4. Give m(b). 15 Let n(z) be the first derivative of -2*z**4/3 + z**2/2 - 10*z + 8. Let c(b) be the first derivative of n(b). What is c(-1)? -7 Suppose 44 = 6*f + 32. Let y(k) be the third derivative of 0 - 7/6*k**3 - 5*k**f + 0*k - 1/24*k**4. Calculate y(-5). -2 Let l(v) = v**2 + v + 2. Suppose -5*o + 15 = -4*g, 15 + 15 = -5*o - 5*g. Give l(o). 2 Let k be 10/(-6) - 14/(-21). Let j(i) = i - 66*i**3 + 90*i**3 - 46*i**3. What is j(k)? 21 Let f(b) = -35 - 4*b**2 + 17 - 4*b**2 + 2*b**3 + 8*b + 20 - b**3. What is f(6)? -22 Let l(b) = 4*b + 4*b - b. Let j(t) be the second derivative of -t**3/2 + t**2 + 4*t. Let c be j(1). Give l(c). -7 Let m(h) = -h**3 - 6*h**2 - 3. Let q = -247 + 243. Calculate m(q). -35 Let f(n) = 2 + 0
{ "pile_set_name": "DM Mathematics" }
)*w*w**(-9/5))/(w/(w**25*w*w*w)*w**(-21)*w) assuming w is positive. w**(2988/65) Simplify x**(-17)/(((x/x**(5/2))/x)/x*x*x)*(x**2)**(21/5) assuming x is positive. x**(-71/10) Simplify (p**(1/4)*p**(-12))/(p*p**8)**(-6) assuming p is positive. p**(169/4) Simplify (((h*h*h**(-1)*h)**(-1/71))**(-12/17))**(8/3) assuming h is positive. h**(64/1207) Simplify (u**(24/5)/u*u**(1/5))**4 assuming u is positive. u**16 Simplify ((n/n**49)/n**(-2/51))**(-11/7) assuming n is positive. n**(26906/357) Simplify ((a/a**(-4))/(((a**(3/2)*a)/a)/a))/(a**(-10)/((a/a**(-3))/a)) assuming a is positive. a**(35/2) Simplify ((b**14)**21)**(-1/61) assuming b is positive. b**(-294/61) Simplify (h**17/(h/h**7*h))/(h**(-28)/(h/h**(-2/23))) assuming h is positive. h**(1175/23) Simplify (t/t**(-4/5))**(-33)*t**(-13)/((t*t**(10/9))/t) assuming t is positive. t**(-3308/45) Simplify (((m*m**(-7))/m*((m*m/m**(1/3)*m)/m*m)/m)**14)**29 assuming m is positive. m**(-6496/3) Simplify h**(-4/5)*h**(-2)*((h*h**(-2/7)*h*h)/h)**31 assuming h is positive. h**(1762/35) Simplify (r/r**(5/12)*(r*r**(-20))/r)/((((r/(r/(r/(((r**(-25)*r)/r)/r)*r)))/r*r*r)/r)/r)**(1/31) assuming r is positive. r**(-7547/372) Simplify (x/x**(-12))**(-1)/(x**(12/11)*x*(x*x**(2/19))/x) assuming x is positive. x**(-3176/209) Simplify (v**(-1/15)/(v*(v**13/v)/v*v))/((v**(-1)*v)/v)**(-22) assuming v is positive. v**(-526/15) Simplify (f**(8/3)/f**(2/3))/(f/(f**7/f))**(15/8) assuming f is positive. f**(91/8) Simplify ((l*l/(l/(l/l**(-4/5))))/(l/(l*l**1))*l**2/(l*l**(-2/11)))**(2/23) assuming l is positive. l**(548/1265) Simplify ((w**(-8)*w)/w**(-7/2))/(w**(-1/3)*(w/(w*w/(w**3/w*w*w)))/w) assuming w is positive. w**(-31/6) Simplify (((l/(l*((l/(l/l**(1/2)))/l)/l*l*l*l))/(l**(-2/9)/l))/(l**2)**(10/7))**31 assuming l is positive. l**(-12245/126) Simplify (n**(-1))**(-2/51)*(n*n**(2/15))/n**0 assuming n is positive. n**(299/255) Simplify (((x**12*x)/x)/x*x)**(-25)/(x**(-1/8))**41 assuming x is positive. x**(-2359/8) Simplify (i/i**21*(i/i**(7/2)*i)/i)**8 assuming i is positive. i**(-180) Simplify (g/g**1*g*g/(g/(g*g**(3/4)))*g)**(-11) assuming g is positive. g**(-165/4) Simplify w**(-11)/w**2*(w**(2/25))**34 assuming w is positive. w**(-257/25) Simplify (((b/(b*b*(b*b**(-18/11)*b)/b*b*b))/b)/((b/(b/(b**(-3/5)/b)))/b))**(-47) assuming b is positive. b**(1974/55) Simplify (l*l**(-1/4))**(-23)*l**18/((l/l**(-2/27)*l)/l) assuming l is positive. l**(-35/108) Simplify n**11*n*(n/(n*n**8*n))/n*(n/(n/(n*n**2)))**(-31) assuming n is positive. n**(-91) Simplify (o*o**(1/18)*o*o*o/o**(2/3)*o)**(1/7) assuming o is positive. o**(79/126) Simplify a/a**16*a*a/((a/(a/(a*a**(-4/9))))/a)*a**(-3/4)/a**(2/25) assuming a is positive. a**(-12047/900) Simplify ((((k/((k**3/k*k)/k*k))/k)/k)/k*k)**(-24)/(k/(k/k**4*k*k))**(-9) assuming k is positive. k**114 Simplify l**(-5)/l**(1/29)*l**(-3)/l**(-1/42) assuming l is positive. l**(-9757/1218) Simplify ((b/(b**(-1/12)*b*b))**(3/5))**45 assuming b is positive. b**(-99/4) Simplify (x*x**18*x*x**(2/73)*x*x)/(x**(4/7)*x**(3/2)) assuming x is positive. x**(20395/1022) Simplify (x**(1/17))**(-20)/(x*((x**(-31)/x*x*x*x)/x)/x)**(7/9) assuming x is positive. x**(1130/51) Simplify (q**13*q**(-5/3))/(q**8/q**(-23)) assuming q is positive. q**(-59/3) Simplify (h**(1/4)*h**(-1/23)/h)/((h**(-1/17)/h)/(h*h**(-1/4))) assuming h is positive. h**(397/391) Simplify (u/(u/(u*u/(u*u/u**5*u))*u))/((u**(4/9)/u)/u)*u**(-6)*u*u**6*u assuming u is positive. u**(59/9) Simplify (n**(-4/5)/n**(1/29))/(n**1/n)**(-21) assuming n is positive. n**(-121/145) Simplify (q**(-3/5))**(7/13)*(q**(-4/3)/q)/q*q**10 assuming q is positive. q**(1237/195) Simplify (s*s*(s/s**5)/s*s**(4/3)/s)/(s**(-2/7)/s)**(-11) assuming s is positive. s**(-353/21) Simplify ((w*((w/(w**(2/21)*w))/w)/w)/w**18)/((w/w**(-9/5))/w*w*w**(-8)) assuming w is positive. w**(-1459/105) Simplify ((v**(-6)/v)/v*v**(-5)/v*v)/(v**(-2)*v**1) assuming v is positive. v**(-12) Simplify ((((r*r**3/r*r)/r*r)/r)/r*r**(1/8)*r)/(r**0/(r*r**(-2/21)/r)) assuming r is positive. r**(509/168) Simplify m**1/(m/m**(1/6))*(m**(-1/2))**(1/31) assuming m is positive. m**(14/93) Simplify ((q**(2/5))**(-46)*q**(-1/8)*q**(-11)*q)**(-47) assuming q is positive. q**(53627/40) Simplify ((c*c/(c/c**0*c)*c**(5/4))/(c**7*c**(-7)*c))**10 assuming c is positive. c**(5/2) Simplify (p**(-2/7)/p)**(1/4)/(p**2/p*p)**(-38) assuming p is positive. p**(2119/28) Simplify (j**27*j**(9/7))/((j**(7/11)*j)/j**23) assuming j is positive. j**(3823/77) Simplify (c**6/c**(-6)*(c**0)**(27/5))**4 assuming c is positive. c**48 Simplify ((m**(3/2)*m)**(-15))**(2/99) assuming m is positive. m**(-25/33) Simplify ((j**16*j*j)/(j/(j/((j*j**(-18)*j)/j)*j)))/((j/(((j/(j*j**14))/j)/j))/j)**(-6) assuming j is positive. j**132 Simplify (d/(d/(d*d**(2/23)*d*d)))/(d**(9/5)*d*d)*(d/(d*d/(d/((d/(d/(d/(d*(d/(d*d**(-2/21)*d))/d))))/d*d))))/(d*d**20) assuming d is positive. d**(-57037/2415) Simplify (((b/b**0*b)**(-2/9))**(4/5))**(-26) assuming b is positive. b**(416/45) Simplify (d**(-2/45)/((d**(3/5)*d)/d))/((d/(d**(3/2)/d))/((d*d**13)/d)) assuming d is positive. d**(1067/90) Simplify (((g/g**(-2/67))/g)/((g/g**40)/g))**(-11) assuming g is positive. g**(-29502/67) Simplify (z**(-12)*z/(z/(z*((z/(z*z*z**24)*z)/z*z)/z)*z))/((z/(z*z*z**(-6/25)*z))/(z*z/(z**(-12)/z))) assuming z is positive. z**(-506/25) Simplify (c**(-3/7)*c)**10*((c*c/(c/(c*c**(-4)*c*c)))/c)/c**3 assuming c is positive. c**(12/7) Simplify ((t/t**(-2)*t)/t)/t**(-1)*((((t*t**4*t)/t)/t)/t)**(-2/9) assuming t is positive. t**(10/3) Simplify (((y*y**0)**(-5/12))**(8/7))**(3/31) assuming y is positive. y**(-10/217) Simplify (p**(-6/23)/p*p**(-35))**(2/23) assuming p is positive. p**(-1668/529) Simplify (((g**(-1/4)/g*g*g)**(-36))**(-1/4))**15 assuming g is positive. g**(405/4) Simplify ((s*s**(-1))/s*s*s**14)/(((s/(s**2/s))/s)/s*s*s*s*s**(2/7)) assuming s is positive. s**(89/7) Simplify (g*((((g/(g/(g*g*g**(-2/67)*g)))/g)/g)/g*g)/g)/(g*g**(-9/10))*g**(-11/2)/g**(3/13) assuming g is positive. g**(-21168/4355) Simplify (g**(-2/23))**(-15/2)/(((g/(g*g**(-5/8)*g*g))/g)/g*g**(-9/2)) assuming g is positive. g**(1569/184) Simplify ((u*u/u**(-2/11)*(u**7*u)/u)/(u**4*u**(-1/2)))**1 assuming u is positive. u**(125/22) Simplify (f/(f*f**(-2)))/f*f*f**(-6/17)*f*(f*f**4/f)**(-4) assuming f is positive. f**(-227/17) Simplify (u/((u*u**10*u)/u))/(u**(-2)/u)*(u*u*u**(-26))/(u**16/u) assuming u is positive. u**(-46) Simplify (a*a**(3/5))**(-48)/((a*a/(a/(a**25/a))*a*a*a)/(a/(a**21/a*a))) assuming a is positive. a**(-624/5) Simplify (v**(-3)*v/(v**(-4)/v*v))/(v**(-1/23)*v**(2/3)/v) assuming v is positive. v**(164/69) Simplify ((u**(3/5)*u/(u/u**(-4)*u))**(-2/69))**(5/6) assuming u is positive. u**(22/207) Simplify y**(2/13)/(y*y**(-1/7)/y)*(y**(2/7))**(-48) assuming y is positive. y**(-1221/91) Simplify ((a*a**(5/2)*a*a**(-9))/(a**2/(a**4/a*a)))**(-1/65) assuming a is positive. a**(1/26) Simplify (p*p**(2/3)*p)/p**(-1/3)*(p/(p/p**(3/4)))**(3/32) assuming p is positive. p**(393/128) Simplify (((y/(y*y/(y/(y/y**(-11))))*y)/y)/y)/y**28*((y*y**(-17))/y)**7 assuming y is positive. y**(-160) Simplify ((z*z*z**3*z*z*z*(z/(z**(-3/8)*z))/z*z)**(-9/13))**5 assuming z is positive. z**(-3015/104) Simplify ((g**(-1/2))**(-7)*g**(-1/9)/g*g**(2/23)/g*g)**(33/5) assuming g is positive. g**(2255/138) Simplify i**(-1/16)*i**(5/3)*i*(i**17/i)**(-3/25) assuming i is positive. i**(821/1200) Simplify (f*f/f**(1/6)*f*f**7)/(((f*f**(2/31))/f*f*f)/(f**(-6/13)/f)) assuming f is positive. f**(15251/2418) Simplify (n**(-6)/(n/(n/(n*n**(-6/23)))))/(n**26/n**(-17)) assuming n is positive. n**(-1144/23) Simplify (w*w*w**(-7)/w)**(-6/7)*(w/(w*w/w**(-5)))/(w/w**(-1/3)) assuming w is positive. w**(-46/21) Simplify (((l**(1/2)/l)/l*l**(-3))/((l*l/(l**(-1/10)/l*l))/(l**(-9)*l)))**(-3/20) assuming l is positive. l**(219/100) Simplify ((n**1/n)/n*n/(n/n**(-2/5))*n)/((n**1/n)/((n*n*(n*n*n/(n/n**(-2/23))*n*n)/n)/n)) assuming n is positive. n**(404/115) Simplify (m**0)**(-26)*(m**(-2/9)*m)**(-36) assuming m is positive. m**(-28) Simplify (q**3/q)/q*q*q**(-1/11)*((q*q*q**26*q*q)/q)/(q**10*q) assuming q is positive. q**(219/11) Simplify ((x/(x/((x**(-2/19)*x)/x)))/x*x**44/x)**7 assuming x is positive. x**(5572/19) Simplify ((h*h**(-1
{ "pile_set_name": "DM Mathematics" }
osest to m? (a) 3/4 (b) 4 (c) i c Let s = -2145 + 2144.91. Which is the closest to -0.1? (a) -5 (b) 14 (c) s (d) 2/9 c Let f = -39/188 + -2/47. Let h = -1532 + 1057. Let d = 480 + h. Which is the closest to 2? (a) -2 (b) d (c) f c Let i = -2414/5 + 483. What is the closest to 8 in -1, i, 0.01? i Let u be 2 - (48/8 - 6). Let h be 11/(-22) + 2/u. What is the closest to h in 2/13, -0.2, -3/7, 4? 2/13 Suppose 10 = -5*q + 45. Let g(o) = -2*o + 17. Let t be g(q). Suppose -h + t = 3*f, 2*f - 2*h + 6 = 4*f. Which is the closest to f? (a) 4 (b) 2 (c) 2/7 c Let d = 9724 + -9718. Let j = -0.7 - -4.7. What is the closest to 2/3 in -3, j, d? j Let l = 865/4872 + -32/609. What is the closest to 0 in 2/3, l, -2/11? l Let h(t) = 8*t - 21. Let q be h(3). Let z = -4017 + 4019. What is the closest to q in -1/3, -5, z? z Let j be (36 - 48)*2/24. Which is the closest to 2? (a) 1/6 (b) j (c) 1 (d) -1/11 c Let p = -0.478 - -0.078. Which is the nearest to p? (a) 1 (b) 0.4 (c) 3 b Suppose -5*t = 2*u - 4307, -5*t - 4352 = -2*u - t. Let g be (1/2 - 1) + u/3420. What is the nearest to 0.3 in 0.5, g, -5, 3? g Let p = 1495.9 - 1494.9. What is the closest to -0.2 in -1/6, p, 4? -1/6 Let z = 114.26 - 113.86. What is the closest to 2/39 in 4, -0.08, z? -0.08 Let l = 471.737 - 0.737. Let s = l + -476. What is the nearest to -0.1 in -2/3, s, -5/4? -2/3 Let q = 2678 - 18748/7. Let t be (-16)/42 + 4/6. Let j = -7 - -9. Which is the closest to t? (a) -0.4 (b) j (c) q c Let o be (25110/1458 - 34/2)/((-32)/(-36)). Let m = 0.8 - 1. What is the closest to -0.1 in -15/7, -2, m, o? m Let x = -44 + -122. Let n = -165 - x. Let d be 1/18 + 4/(-18). Which is the closest to n? (a) d (b) 1 (c) -6 b Let m = 2.2 - -0.8. Let s = -18397 - -18397.2. Which is the closest to 0.2? (a) s (b) m (c) -2 (d) -5 a Let z be ((-5)/(-20))/(2/(-4))*22/759. Which is the nearest to z? (a) -3 (b) 5 (c) 1/4 (d) -0.03 d Suppose -1890 = 128*x - 138*x. Let z = x + -4157/22. Which is the nearest to 2/3? (a) -5 (b) z (c) -6 (d) -1 b Let v = 1.4907 - 5.4907. Let d = 21 + -18. What is the closest to 5 in 5, v, -17, d? 5 Suppose 3*a = -5*s - 17, 0*a = 4*a + 3*s + 19. Let j be (-70)/(a - 1) - -1. Suppose -21 + j = -3*w. What is the closest to 0.04 in -1, 0.5, w? 0.5 Let j = 7264.78 + -8200.6. Let v = j + 936. Which is the closest to v? (a) -4 (b) 3 (c) -1 (d) 2/9 d Let d = 2240.3 + -2261. What is the nearest to 2/5 in 0.3, d, 1/3? 1/3 Suppose 3*z = z - 3*q + 12, -3*z + 16 = 4*q. Let w = -215.1 + -0.9. Let n = -215 - w. What is the nearest to n in z, -5, 5? z Let q = -8.419 + 8.459. Which is the nearest to -12? (a) 19 (b) 1/2 (c) q c Let y(g) = g**2 - 50*g - 978. Let m be y(-15). Which is the nearest to -14? (a) -4 (b) 34 (c) m a Let v = 12785 - 12786. Which is the nearest to v? (a) -5 (b) 0.5 (c) 3.1 b Let j = 2904 - 2900. What is the closest to 2/5 in 5.1, j, -2/13? -2/13 Let j be -1 - -4 - 1/(-9)*-23. Let z be 16/(-12)*((-51)/18 - -3). Let x = z - j. What is the nearest to x in -1/2, -4, 2? -1/2 Let x be ((-1)/6 - 210/252)/(-1). What is the closest to x in -1, 0.3, -0.2, -2/7? 0.3 Let i = -37049.9 - -37050. What is the nearest to i in -0.4, -1818, 1? -0.4 Let l = 3/115 - 269/1495. Let k = 101 + -58. Let y = k + -42.7. Which is the nearest to -0.1? (a) y (b) 5 (c) l c Let o = 1655 - 1653. Which is the closest to -0.1? (a) -20 (b) o (c) 1/10 c Let u = 7.409 - 7.209. Let h(l) = l**3 + 3*l**2 + 2*l + 1. Let o be h(-3). Which is the nearest to u? (a) o (b) 3 (c) 1/2 c Suppose -3*r = -l - 15, -4*r + 5*r - 4*l - 5 = 0. What is the nearest to -1 in 76, r, -2? -2 Let h = 127/2 + -64. Let b be (8/1116*9)/4. What is the nearest to h in 5, b, -2? b Let u be (4/(96/52) + (-23)/138)*2. Which is the closest to 2/5? (a) -2 (b) 1 (c) u (d) 2/3 d Let g = 14330/3 - 4778. What is the closest to 0.24 in g, 0.4, -6? 0.4 Let r(g) = -4*g**2 + 84*g + 122. Let d be r(22). What is the nearest to 0.1 in 5, d, -4? -4 Let t = -11742 + 105677/9. Which is the nearest to 0.8? (a) 4 (b) 0 (c) 7 (d) t b Let n = -2333.7297 - -2321.67. Let z = -0.0597 - n. Which is the nearest to -0.1? (a) -1 (b) 2/25 (c) z b Let v = 8 - 9. Let z = 3832 + -26825/7. Which is the closest to v? (a) z (b) -12 (c) 2 a Let v = 6.2 - 12.34. Let h = v + 0.14. Let c = 417 + -422. What is the nearest to 0.1 in -0.1, h, c? -0.1 Let m = -0.6 - -0.1. Let n = 1.821 + -0.821. Which is the nearest to n? (a) 2 (b) m (c) -0.3 a Suppose 2*j = -4*q - 34, 3*j + 33 = 53*q - 56*q. Which is the closest to -0.2? (a) -4 (b) q (c) 17 a Suppose 0 = -3*k + 12. Let v = -0.622 + -0.568. Let f = v - -1.69. What is the closest to 0.03 in k, -3/2, f? f Let v = 35.6 + -97.3. Let y = 61.973 + v. Let i = y - -0.027. Which is the nearest to -1/12? (a) -5 (b) i (c) 1/4 c Let r = 49.59 - 49.56. Which is the closest to -1/4? (a) 0.2 (b) -15 (c) r c Let s = -815 + 814.7. Let z = -3 + 2. Let m = 293/5 - 59. What is the closest to -4 in z, s, m? z Let g = 2965/38 + 256/19. Let i = -92 + g. Let x = 53 + -52.5. Which is the nearest to i? (a) -2/7 (b) 1/3 (c) x a Let z be 636 + 7 + 2 - 4. Suppose 0 = 2*x + 657 - z. What is the closest to -1 in -2/17, -1, x, 3? -1 Let q = 5293 - 5288. What is the closest to -35 in -3/2, q, -1/8, 4? -3/2 Let n = 12/185 + -603/740. What is the nearest to 3 in -5/13, -2, -4, n? -5/13 Let o be ((-20)/8)/(-1) + 12/(-2). Let s = 0.129 - -0.071. Which is the closest to o? (a) s (b) 13 (c) 2/5 a Let d = 3.5803 + 0.4197. Which is the nearest to 2/5? (a) 40 (b) d (c) 3/7 c Let x = 0.7791 - 2.7791. What is the nearest to -0.1 in -0.3, 0.0448, x? 0.0448 Suppose -5*u = 5*q - 15, 3*u - u + 3 = q. Suppose 197*x = 198*x - q. Which is the closest to x? (a) 5 (b) -0.4 (c) -2 (d) 6 a Let j = -360 - -284.2. Let k = -76 - j. Which is the nearest to -2/3? (a) -1/8 (b) k (c) -0.09 b Let t = 21 + -19. Let s be 1 + t + ((-30)/(-9) - 6). Let j be 2/(-1) - (-85)/35. Which is the nearest to s? (a) -2 (b) j (c) 2/7 c Let d = 635 - 704.8. Let s = -70 - d. Which is the nearest to -1? (a) s (b) -1/6 (c) -0.5 c Let l = 28.43 - 28.83. What is the nearest to -2/5 in 82, l, -4? l Let h = -436 - -324. Let y = h + 101. What is the nearest to 1 in 0.1, 3/7, y? 3/7 Let o = -111 - -115. Let t be (-2)/4 + 2/o. Let y = -0.3 + 0.1. What is the nearest to t in 0.3, -0.5, y? y Let o be (-1 + (-12)/(-9))*(-4 + 5). Which is the closest to 0.1? (a) -0.6 (b) o (c) 1/2 (d) 1/10 d Let m be 7/2 + 8 + -9. Let o(i) = -i**3 - 22*i**2 - 57*i + 24. Let d be o(-19). Which is the closest to 2? (a) d (b) -3 (c) m c Suppose -4*q - 85 = -3*u - 13, 3*u = q + 18. Let l be (0 + 3)/9*q/8. What is the nearest to 0.6 in 1/2, l, 1/5? 1/2 Let r be ((-54)/(-10))/3 + -2. What is the closest to -2/81 in 3, -0.3, r, -2/13? -2/13 Let r = -1.277 - -1.357. Let l = 166 - 165. Which is the closest to -1? (a) 0.4 (b) -0.1 (c) l (d) r b Let q = -0.21727 + -0.03273. What is the nearest to -0.2 in 3/7, 5, q? q Let x = -4557 - -4556. Let n = -0.06 + 0.46. Which is the nearest to 2/7? (a) 0.12 (b) n (c) x b Let p be 10/(-265) + (-4284)/(-12402). What is the closest to 0 in 1, -1/28, p? -1/28 Let r = -0.45 + 0.05. Let m = 0.46508 - 0.76508. What is the nearest to 2/9 in r, -2, m, 0.1? 0.1 Let w = 10.1672 + -11.21. Let q = w + 0.0428. What is the closest to 0.8 in 1, q, -1/3? 1 Let s be (10 + -6)/(0 + (-2)/1). Suppose -6*g + 2*g - 12 = 0. Which is the nearest to s? (a) 4 (b) g (c) -6 b Let n = 0.28678 + -316.29678. Let d = n - -316. Which is the nearest to d? (a) 0.2 (b) 1/7 (c) -4/9 b Let l be (1 + -4)*(-2)/6. Let v(t) = -t**3 + 3*t. Let j be v(-3). Let b be j/(-8) - 2/(-8). What is the closest to l in b, 0.4, 0? 0.4 Let s = 1/24 - -19/120. Suppose -131*t + 54 + 6 = -196 - 268. What is the closest to -2/5 in t, 2, s? s Let o be ((-4)/(-22))/(35 - 8190/231). Let b = 0.3 - -0.2. What is the nearest to o in -1/4, -4/7, b? -1/4 Let m be 3/(-20)*(111/(-24) + 414/(-1104)). Let s = -4.04 + 0.04. What is the nearest to 0.1 in s, -0.5, m, 0.22? 0.22 Let z = -3.09 - -0.09. Suppose -648 = -95*u + 87*u. Let p = -81 + u. Which is the nearest to p? (a) z (b) 0 (c) -0.1 b Let u be 875/(-25) + -1 + 4. Let a be (-72)/u*(-1)/3. Let l(r) = -4*r**2 + 60*r - 4
{ "pile_set_name": "DM Mathematics" }
+ p + j*k**3 and give p. 1 Rearrange 36*g - 7 - 36*g + g**4 + g**2 + 2*g**3 + 5 to q*g**2 + m + w*g + t*g**4 + p*g**3 and give p. 2 Rearrange (2*t - 4*t + 20289 - 20575)*(0*t + 0*t - 2*t) to o*t + n*t**2 + i and give n. 4 Express (-88 + 88 - 44*z)*(5 - 2 + 3*z**3 - 2) in the form d*z**4 + k*z**2 + x*z**3 + g + w*z and give w. -44 Rearrange 855*o**2 - 504*o**2 + 849*o**2 to w*o + j + m*o**2 and give m. 1200 Rearrange 2*s + 2*s**2 - 4*s**2 - 2*s**2 - 15*s**2 to l*s**2 + n + v*s and give l. -19 Express 141*a - 1346*a - 617*a + 77*a as g*a + o and give g. -1745 Rearrange (-1 + 1 + 2)*(-27 + 27 - 3*h) + 6*h - 3*h - h + (-2*h + 1 - 1)*(1 - 1 - 2) + 2 - 2 - 8*h to x*h + i and give x. -8 Express -107*f**3 + 108*f**3 - 3*f**2 + 6*f + 1 + 65*f**4 - 69*f**4 in the form d + l*f**2 + p*f + o*f**3 + y*f**4 and give o. 1 Rearrange -3*m - m + 6*m - m - 4*m - 139 to o + w*m and give w. -3 Express -5*r**3 + 4*r**3 - 133 + 135 - 16*r in the form i + y*r**2 + g*r + t*r**3 and give i. 2 Express -36*j - 53 + 24*j + 51 in the form k + b*j and give k. -2 Express 11*j + 5 - 7 + 10 + 3*j as c + p*j and give p. 14 Rearrange -5*r**2 - 17*r**2 - 4*r**2 + 9*r**2 + 4 + 3*r to b + q*r**2 + j*r and give j. 3 Express 25*v**3 - 23 + 67 - 39 as h*v**2 + o + g*v**3 + u*v and give o. 5 Express (-q + 2*q + 0*q)*(-178115*q + 178115*q - 849*q**2) as i*q**2 + p*q + o*q**3 + z and give i. 0 Express 283*t + 252*t - 46*t in the form n*t + y and give n. 489 Express (2 - 3 - 2)*(0*m - 5 - 5*m - 3*m) as g*m + j and give g. 24 Express 0*b + 2*b - 2*b - 2*b**2 - 38 + 2*b + 37 in the form u*b + a + z*b**2 and give a. -1 Rearrange (4*l**3 - l**3 - 4*l**3)*(4 - 6 + 0 + (0 - 1 + 3)*(1 + 13 + 4))*(2 - 2*l - 2) to the form t*l + y*l**3 + d*l**2 + k + o*l**4 and give o. 68 Rearrange 3*o**3 - 2*o - 5*o**3 - 20*o to the form h*o**3 + d + g*o + q*o**2 and give h. -2 Express 880729 - 8*c + 3*c**2 - 880732 - 2*c as k*c**2 + i + o*c and give k. 3 Express 50*d + 23*d - 18*d in the form b + x*d and give x. 55 Rearrange 3463*n**3 - 3463*n**3 - 60*n**4 + (n**3 - 3*n**3 + 0*n**3)*(n - 4*n + n) - 3 + 3 + 2*n**4 to p*n + h*n**3 + j + t*n**2 + k*n**4 and give k. -54 Express -2 - 149*l**4 + 2*l**3 - 4*l + 2*l + 207*l**4 in the form f + a*l**4 + g*l + m*l**2 + j*l**3 and give g. -2 Rearrange (97*i + 353*i + 64*i + 179*i)*(0 + 6 - 1 + (0 + 0 - 1)*(0 - 5 + 4)) to z + n*i and give n. 4158 Express -36 - 722*f + 22 + 14 in the form q*f + y and give q. -722 Rearrange 623 - x + 406 - 1192 + x - 2*x**2 to i*x + q*x**2 + a and give a. -163 Express 366*v**2 + 3*v - 556*v**2 - 2*v + v**4 as g + r*v + b*v**3 + s*v**2 + p*v**4 and give r. 1 Rearrange -43*j - j**2 - 44*j + 86*j + 4*j**3 - 2*j**4 + 3*j**3 - 2 to u*j**2 + p + w*j**3 + t*j**4 + g*j and give u. -1 Rearrange -18*u - 24*u + 6*u - 2 + 3*u + 2 + (4 - 1 - 2)*(-3*u + 5*u + 0*u) to the form t*u + g and give t. -31 Rearrange 279 - 138 - 132*y + 448*y - 141 to r*y + h and give r. 316 Express (-v - v - 5*v)*(-4 - 3 + 19 - 2 - 1 + 4 + (3 - 5 + 1)*(0 - 4 + 5) + 5 - 2 - 5) in the form r + b*v and give b. -70 Rearrange (2 + 3 - 2)*((-1 + 6 + 1)*(2*t + 0*t + 0*t) - 2*t - t - 5*t + (-1 - 5 + 5)*(-1 + 1 - 4*t)) to g + m*t and give m. 24 Express -5*i**3 - i - i**4 + 20 - 5*i**2 + 2*i**4 - 18 - 4 - i in the form w*i**2 + l*i**3 + a*i**4 + q*i + m and give a. 1 Rearrange 473 + 3*r - 423 - r - 4*r to t*r + q and give t. -2 Express -3 + 2*w**2 - 4*w**2 - 71421*w**3 + 71372*w**3 as c*w**2 + x + n*w + j*w**3 and give c. -2 Rearrange (100030*d - 22 - 28 - 2*d**2 - 100027*d)*(2 - 2 + d) to the form g*d**2 + u*d + p*d**3 + w and give p. -2 Express -5 + 3 + 2 + 5*b + 2*b**2 - 2*b**4 in the form m*b**3 + l*b**2 + y*b**4 + a*b + s and give y. -2 Rearrange (1 - 4 + 2)*(61 + 11 + 14)*(-12*g + 0*g + 2*g) to the form z*g + b and give z. 860 Express -6*o + 6*o + 3*o**3 + (57 + 4*o**2 - 57)*(-2*o - o + o) in the form s + l*o + u*o**3 + z*o**2 and give u. -5 Rearrange (2*z - 2*z - z)*(-1 + 34 - 21 - 12*z**2) to the form i + n*z**3 + k*z + q*z**2 and give k. -12 Rearrange (-3*u + 0*u - 2*u)*(0*u + 0*u + u + (-1 + 1 + 7*u)*(2 - 7 + 2)) to k*u + g + c*u**2 and give c. 100 Express -8 - 317*t + 15 - 7 in the form r*t + u and give r. -317 Rearrange 0*g**3 + 0*g**3 + g**3 + (2*g**2 + g**2 - 4*g**2)*(-3*g + 6 - 6) + 0*g**3 + 4*g**3 + 2*g**3 to f + y*g**2 + k*g + w*g**3 and give w. 10 Express (3*b - b - 4*b)*(2*b - b + 5*b) + (b - b + b**2)*(1 + 0 - 2) as l*b + g*b**2 + o and give g. -13 Rearrange (1 - 1 - 2*h)*((2 - 3 + 3)*(3 + h - 3) + 12*h + 30*h + 9*h) to y*h + p*h**2 + s and give p. -106 Express -9130*y**4 + 12*y - 2*y**3 + 9129*y**4 + 2 - 3*y**2 + 3 as g + s*y**2 + j*y**4 + p*y**3 + w*y and give w. 12 Express (2*x**2 + 4 - 4 + (1 + 4 - 3)*(-4*x**2 + x**2 + 5*x**2) - 20*x + 20*x + 4*x**2)*(89*x - 206*x - 355*x) in the form c*x**2 + k*x**3 + j + y*x and give k. -4720 Express (4*o**2 + 0*o**2 - 3*o**2)*(243 - 4347*o - 4389*o - 4377*o + 13147*o) in the form k*o + v + q*o**2 + d*o**3 and give q. 243 Express 10*p**3 + 13*p**3 - 5*p**3 + (3*p**2 + p**2 - 3*p**2)*(-2*p + 0*p + p) as u*p**2 + s + i*p + z*p**3 and give z. 17 Rearrange (-2 + 9 + 5)*(-w + 2*w - 3*w)*(-1 - 5 + 4) to the form i*w + l and give i. 48 Express (-1 + 0 + 2 + 2*o)*(288*o + 1048 - 1048) as k*o + n + i*o**2 and give k. 288 Express (17 - 7*k - 17)*(-k**2 + 31 - 36 + 26*k**2) as h*k**2 + a*k**3 + r + z*k and give a. -175 Express (0*o**2 + 3*o**2 + 2*o**2)*(-68*o - 55*o + 106*o) in the form q*o**3 + m*o**2 + c*o + j and give q. -85 Express -50*s + 329*s + 451*s + 177*s + 69*s as g + z*s and give z. 976 Express 5 + 0 + 4 - 2*l**4 - 6 - l**2 - 1 - 4*l as k*l + w*l**2 + u*l**4 + o + a*l**3 and give k. -4 Express -4*j**2 + 2*j**2 + j**2 + (4*j - 3*j + j)*(1 - 5*j - 1) - 3*j**2 - 24428 + 115*j + 24428 in the form l + y*j**2 + n*j and give y. -14 Express (-27*v + 47 - 70*v - 10*v**2 + 95*v)*(-2*v + 6*v - 2*v) in the form p + o*v**2 + i*v**3 + q*v and give o. -4 Rearrange -2*j**3 - 346 + j**3 + 3*j**3 + 1401 to the form g*j**3 + z*j**2 + f + o*j and give f. 1055 Rearrange (-l - 5*l + 4*l)*(-51*l + 38*l - 55*l) + (-1 - 4 + 3)*(1 + 2*l**2 - 1) + l - l + l**2 to z + d*l**2 + p*l and give d. 133 Express 2*s - 2*s + 0*s**2 - 2*s**2 - 2*s + 86 as w*s**2 + g + j*s and give w. -2 Rearrange (9*x**3 + 12*x - 12*x)*(2*x + 0*x + 0*x)*(-22 - 41 + 64) to the form c*x**2 + u + r*x**3 + p*x**4 + g*x and give g. 0 Rearrange 2*r - 4*r + 10*r + (-4*r + r + r)*(0 + 3 + 7) + (0 + 0 - r)*(-4 + 3 + 2) - 6*r + 5*r - r to i + b*r and give b. -15 Express 0*d**3 - 7*d**2 - 4 - 2*d**3 + 9*d**2 - 6*d + 7*d**3 in the form w*d**3 + p*d + j + s*d**2 and give j. -4 Express (5*h**2 - 2*h**2 - 5*h**2)*(-1 - 3 + 2) + (4 + 3 - 5)*(2 - 2 - h**2) + 10*h**2 - 7*h**2 + 7*h**2 in the form c + b*h + m*h**2 and give b. 0 Express -r**3 + 4*r**2 - 2*r**2 + 2*r**2 - 3*r**2 + 6 in the form f*r + a + i*r**2 + k*r**3 and give k. -1 Express -29 - 16 + 5*o**3 - 10 + 0 + 7 as d*o**2 + a*o + l + z*o**3 and give l. -48 Express (49*z - 143 + 143)*(-6 + 3 - 15)*(2*z - 5*z + 2*z) in the form n + r*z + x*z**2 and give n. 0 Rearrange -18*q**3 + 31*q**3 - 15*q**3 + 8*q + (q**2 + q**2 - 4*q**2)*(q + 0 + 0) + 3*q**2 - 3*q**2 - 6*q**3 to g*q + k*q**3 + s*q**2 + f and give k. -10 Rearrange 26*m + 60 + 88 - 15*m - 12*m to n + p*m and give n. 148 Rearrange -138*c**3 - 1 + 154*c**3 + 20*c**2 - 17*c**2 + 0 - c + c**4 to t*c**2 + b*c**3 + v*c**4 + j + o*c and give o. -1 Rearrange 29 - 2*m**2 + 26 + 22 - 82 - 5*m**3 to the form c*m + d*m**2 + s + n*m**3 and give s. -5 Express -4*q + q + 11*q**2 - 54*q**2 - 24*q**2 in the form h*q**2 + a*q + p and give p. 0 Rearrange -43*c**2 + 22*c**2 - 32*c**2 - 3*c**2 - 2*c**2 + 4*c**2 + (-c + 2 - 2)*(3*c - 5*c + 5*c) + 2*c - 2*c - 3*c**2 to t*c**2 + n*c + f and give t. -60 Rearrange -86*f + 21*f + 191*f - 4 + 7 to the form z*f + a and give a. 3 Express (-406579*a + 406298*a + 0 + 3)*(4*a**3 - a**3 - 5*a**3) as u*a**4 + p*a**3 + l*a + j*a**2 + i and give u. 562 Express 0*q**2 - 10*q**2 - 8*q**2 + (54 + q - 54)*(-4*q - q + 3*q) in the form x*q**2 + c + y*q and give x. -20 Express 6 + 0 + 61*r**3 - 5 - 177*r**3 in the form k*r**3 + w*r + p*r**2 + i and give i. 1 Rearrange -p + 29 + p + p**2 - 5*p**2 - p**3 + 7*p - 8*p to z + j*p + r*p**2 + l*p**3 and give l. -1 Express (-14 - 19 + 17)
{ "pile_set_name": "DM Mathematics" }
1000000? -5000000 Round 0.000039621 to 6 decimal places. 0.00004 What is 188.7474 rounded to 0 dps? 189 Round -53.98273 to the nearest integer. -54 What is 121588230 rounded to the nearest 100000? 121600000 Round -0.00000800502 to six decimal places. -0.000008 What is -0.00429289 rounded to three dps? -0.004 Round -290466300 to the nearest one million. -290000000 Round -0.0000228038 to six decimal places. -0.000023 What is -0.000958126 rounded to five decimal places? -0.00096 What is -1.18761 rounded to 1 decimal place? -1.2 Round -44.793426 to the nearest ten. -40 What is 176255.53 rounded to the nearest 100? 176300 What is -0.39739234 rounded to three decimal places? -0.397 What is 3.13967 rounded to 1 dp? 3.1 Round 0.000016383262 to seven decimal places. 0.0000164 Round 504.63 to the nearest ten. 500 Round 29035.6 to the nearest one thousand. 29000 What is 444530 rounded to the nearest ten thousand? 440000 Round 3.24916 to 1 dp. 3.2 What is -0.09032926 rounded to two dps? -0.09 What is 3823.65 rounded to the nearest one hundred? 3800 Round 7648.34 to the nearest ten. 7650 What is -0.0179127 rounded to five dps? -0.01791 What is -730751 rounded to the nearest 10000? -730000 What is 3845.632 rounded to the nearest 1000? 4000 What is 22926180 rounded to the nearest 1000000? 23000000 Round -0.00003525677 to five decimal places. -0.00004 What is -0.362524 rounded to 0 decimal places? 0 Round 0.01862916 to 5 dps. 0.01863 What is -1490.861 rounded to the nearest one thousand? -1000 What is 236340.3 rounded to the nearest one hundred thousand? 200000 What is -16.42496 rounded to one dp? -16.4 Round -0.9499376 to the nearest integer. -1 Round 0.000055192 to 6 dps. 0.000055 What is -51732800 rounded to the nearest one hundred thousand? -51700000 What is 0.0001140094 rounded to six decimal places? 0.000114 Round 333.522 to the nearest 100. 300 Round 1284.1014 to the nearest ten. 1280 What is -2393.995 rounded to the nearest integer? -2394 Round 3.78463 to three decimal places. 3.785 What is -19.931808 rounded to one decimal place? -19.9 What is 46982470 rounded to the nearest one million? 47000000 Round -24283700 to the nearest one million. -24000000 What is 0.000086409 rounded to five dps? 0.00009 What is -0.0002014186 rounded to 7 decimal places? -0.0002014 What is -1089.82 rounded to the nearest ten? -1090 What is -15808870 rounded to the nearest one million? -16000000 What is -36151.36 rounded to the nearest 10? -36150 What is -27432.02 rounded to the nearest one thousand? -27000 What is -217972700 rounded to the nearest 1000000? -218000000 What is -0.00475138 rounded to three dps? -0.005 Round 24336493 to the nearest 1000000. 24000000 What is -142622.6 rounded to the nearest 10000? -140000 Round 0.0001367228 to five decimal places. 0.00014 What is -0.017454324 rounded to 4 decimal places? -0.0175 Round -0.001577116 to five decimal places. -0.00158 Round 5.3486 to two decimal places. 5.35 Round -0.001084304 to 4 dps. -0.0011 What is 0.0000127826 rounded to 5 decimal places? 0.00001 What is -2196896 rounded to the nearest 10000? -2200000 Round 0.00005796971 to 5 dps. 0.00006 Round -362660.2 to the nearest 100000. -400000 Round -1.4583101 to three decimal places. -1.458 What is 6.75768 rounded to the nearest integer? 7 What is -5846.6 rounded to the nearest 10000? -10000 Round -0.006441 to three decimal places. -0.006 What is 39585800 rounded to the nearest one million? 40000000 What is -31308100 rounded to the nearest one hundred thousand? -31300000 Round 0.000653811 to 5 dps. 0.00065 Round 35411010 to the nearest 100000. 35400000 What is -0.2531673 rounded to 1 decimal place? -0.3 What is -0.01398368 rounded to three decimal places? -0.014 Round -0.00001123789 to six decimal places. -0.000011 Round -7751.924 to the nearest integer. -7752 What is -728920 rounded to the nearest ten thousand? -730000 What is -4415.8 rounded to the nearest integer? -4416 What is 840.676 rounded to the nearest 10? 840 What is 6.0353 rounded to 2 decimal places? 6.04 What is 118201.8 rounded to the nearest 1000? 118000 What is -1.39521 rounded to 1 decimal place? -1.4 What is 0.000411563 rounded to four decimal places? 0.0004 What is 111.35608 rounded to two decimal places? 111.36 What is 1.9513753 rounded to 2 dps? 1.95 What is 0.000001456671 rounded to 7 dps? 0.0000015 Round -0.000002260164 to five decimal places. 0 What is 168409900 rounded to the nearest 1000000? 168000000 Round -437559.8 to the nearest 1000. -438000 What is 0.2993486 rounded to 2 decimal places? 0.3 Round 0.0018712316 to 4 dps. 0.0019 What is 0.1155906 rounded to 2 decimal places? 0.12 What is -3.6019053 rounded to three dps? -3.602 What is -0.003471724 rounded to 6 decimal places? -0.003472 Round -1.071517 to 2 dps. -1.07 Round -0.4310093 to two decimal places. -0.43 What is -0.02122772 rounded to 5 dps? -0.02123 Round 149190000 to the nearest 100000. 149200000 What is 0.00008893451 rounded to 6 dps? 0.000089 What is -4072891 rounded to the nearest 10000? -4070000 What is 165.335 rounded to zero dps? 165 What is -0.00668356 rounded to five dps? -0.00668 What is 0.001573766 rounded to five decimal places? 0.00157 Round -6456790 to the nearest one hundred thousand. -6500000 What is -0.004856623 rounded to four dps? -0.0049 What is 104333000 rounded to the nearest 1000000? 104000000 Round -1868.272 to the nearest integer. -1868 What is 286.1158 rounded to 1 dp? 286.1 What is -0.000047820637 rounded to six decimal places? -0.000048 Round 682779.69 to the nearest 1000. 683000 Round -0.03823173 to three dps. -0.038 What is 1714.945 rounded to the nearest 100? 1700 Round -217663 to the nearest 1000. -218000 What is -46006.6 rounded to the nearest ten? -46010 Round -14654180 to the nearest 100000. -14700000 What is 0.0774951 rounded to 3 decimal places? 0.077 What is -2500.196 rounded to the nearest one thousand? -3000 Round -0.0000816446 to seven decimal places. -0.0000816 Round 2.6431 to two decimal places. 2.64 What is -0.00000674139 rounded to 5 dps? -0.00001 What is -1.1993043 rounded to one dp? -1.2 Round 156.5495 to 1 dp. 156.5 Round -0.000001839387 to seven decimal places. -0.0000018 Round -0.007947462 to 6 dps. -0.007947 Round -0.00000508305 to 6 dps. -0.000005 Round -25673980 to the nearest 1000000. -26000000 What is 4.5854 rounded to zero dps? 5 Round 35.9123 to 0 decimal places. 36 Round -0.000194998 to six decimal places. -0.000195 What is -1459412 rounded to the nearest 10000? -1460000 What is 0.23275 rounded to two decimal places? 0.23 Round -22.0906 to one dp. -22.1 What is 1552435000 rounded to the nearest 1000000? 1552000000 What is 6597.57 rounded to the nearest 10? 6600 What is 154.008 rounded to the nearest ten? 150 Round 6157.1 to the nearest one hundred. 6200 Round 180781.77 to the nearest 1000. 181000 What is 2234.08 rounded to the nearest 100? 2200 Round -0.009527995 to 5 dps. -0.00953 Round -79.94453 to 1 decimal place. -79.9 Round -17650 to the nearest 10000. -20000 What is 178921.3 rounded to the nearest 10000? 180000 Round 1.01088 to 2 decimal places. 1.01 Round 0.00009837 to seven decimal places. 0.0000984 Round -1005.065 to the nearest 10. -1010 Round -9.214348 to two decimal places. -9.21 Round -182008000 to the nearest one million. -182000000 Round -0.000813546 to 4 decimal places. -0.0008 What is -171704.59 rounded to the nearest 100? -171700 What is -1119710 rounded to the nearest one hundred thousand? -1100000 Round 55764380 to the nearest one hundred thousand. 55800000 What is 38737856 rounded to the nearest 100000? 38700000 What is 6553.45 rounded to the nearest 1000? 7000 Round 313299000 to the nearest 1000000. 313000000 Round 4088.4 to the nearest one thousand. 4000 What is -25543500 rounded to the nearest one million? -26000000 What is -0.190282 rounded to 4 dps? -0.1903 What is -17.1514554 rounded to 0 dps? -17 What is -67436.8 rounded to the nearest one thousand? -67000 What is 0.07024763 rounded to 4 decimal places? 0.0702 What is 569585.27 rounded to the nearest one thousand? 570000 What is -202.64498 rounded to the nearest one hundred? -200 Round -58.31628 to two dps. -58.32 What is 0.01148973 rounded to 3 decimal places? 0.011 What is 0.00000178125 roun
{ "pile_set_name": "DM Mathematics" }
ked without replacement from cccrrrr? 3/35 Three letters picked without replacement from aaaaaaaefaeaeaa. What is prob of sequence fee? 1/455 What is prob of sequence qkkt when four letters picked without replacement from kkkkiqiiqkiqtk? 15/4004 Four letters picked without replacement from {n: 7, u: 1}. What is prob of sequence nnnu? 1/8 Two letters picked without replacement from ltkcllkklckic. What is prob of sequence ti? 1/156 What is prob of sequence ip when two letters picked without replacement from {i: 1, p: 7, g: 3, s: 6}? 7/272 Calculate prob of sequence yt when two letters picked without replacement from {b: 6, r: 3, y: 1, k: 2, a: 5, t: 2}. 1/171 Three letters picked without replacement from aurura. Give prob of sequence ruu. 1/30 What is prob of sequence aah when three letters picked without replacement from ahghdahgdzdhghdhaz? 1/136 Four letters picked without replacement from {b: 5, v: 6, n: 4, r: 4}. Give prob of sequence vnrn. 1/323 What is prob of sequence xcrr when four letters picked without replacement from hchcrcxhhfxxc? 0 Calculate prob of sequence jpw when three letters picked without replacement from ppjppjwpppw. 14/495 Calculate prob of sequence xu when two letters picked without replacement from {x: 1, r: 7, u: 5, l: 3}. 1/48 What is prob of sequence lll when three letters picked without replacement from mmmqmmmmmmlmmmmmmmm? 0 What is prob of sequence hgh when three letters picked without replacement from hhhgghhuhhgguuhh? 3/35 Four letters picked without replacement from zgzzgggzzzzwzwzz. Give prob of sequence wgwz. 1/546 Calculate prob of sequence btk when three letters picked without replacement from mtbbmvmmtckvmmbbmv. 1/612 What is prob of sequence ni when two letters picked without replacement from {n: 6, b: 2, y: 2, i: 6, f: 3}? 2/19 Two letters picked without replacement from {l: 4, h: 5, c: 5, o: 1}. What is prob of sequence lh? 2/21 What is prob of sequence yd when two letters picked without replacement from ydgddyydgdndgylldxgg? 7/95 What is prob of sequence sss when three letters picked without replacement from zosozzoosozzsvoosvo? 4/969 Calculate prob of sequence nn when two letters picked without replacement from nnbnbbnbnnnbb. 7/26 Calculate prob of sequence bnnb when four letters picked without replacement from {b: 2, n: 2}. 1/6 What is prob of sequence plx when three letters picked without replacement from {x: 2, p: 3, l: 3}? 3/56 Three letters picked without replacement from uuuuuubeu. Give prob of sequence eub. 1/72 Two letters picked without replacement from {p: 3, b: 3}. What is prob of sequence bp? 3/10 What is prob of sequence ngn when three letters picked without replacement from nngn? 1/4 Two letters picked without replacement from {y: 3, q: 5, i: 4, s: 1}. Give prob of sequence ii. 1/13 Four letters picked without replacement from {r: 1, b: 2, i: 4, w: 1, d: 3}. What is prob of sequence drwb? 1/1320 Four letters picked without replacement from ttttztttztt. What is prob of sequence ttzt? 7/55 Calculate prob of sequence hlmg when four letters picked without replacement from gnmghlccmchgggm. 1/1092 Calculate prob of sequence ofo when three letters picked without replacement from {j: 1, k: 2, o: 11, f: 1}. 11/273 Calculate prob of sequence ovx when three letters picked without replacement from {v: 3, x: 1, o: 3, h: 4}. 1/110 Calculate prob of sequence uhu when three letters picked without replacement from qhuqhuhqh. 1/63 Calculate prob of sequence gttj when four letters picked without replacement from {g: 2, j: 1, t: 2}. 1/30 Calculate prob of sequence bgv when three letters picked without replacement from hvgvbqg. 2/105 Two letters picked without replacement from oooooofoooooooo. What is prob of sequence of? 1/15 Three letters picked without replacement from vqqqvvbvvvvbvbvvvv. Give prob of sequence bvv. 11/136 Calculate prob of sequence mu when two letters picked without replacement from {a: 2, t: 1, u: 3, m: 1}. 1/14 Calculate prob of sequence mu when two letters picked without replacement from kmmlupd. 1/21 Three letters picked without replacement from znnzdzzdz. Give prob of sequence ndd. 1/126 What is prob of sequence wg when two letters picked without replacement from rweggwjewxe? 3/55 Calculate prob of sequence xkg when three letters picked without replacement from {p: 1, g: 2, b: 5, k: 3, x: 8}. 8/969 What is prob of sequence gh when two letters picked without replacement from {m: 1, h: 2, g: 1, y: 2}? 1/15 Two letters picked without replacement from wzbppibpwiiwo. What is prob of sequence wi? 3/52 What is prob of sequence sffs when four letters picked without replacement from fsfssfis? 3/70 What is prob of sequence vfaq when four letters picked without replacement from {a: 1, s: 1, v: 1, q: 1, f: 3}? 1/280 Two letters picked without replacement from {l: 1, x: 1, a: 9}. Give prob of sequence lx. 1/110 Three letters picked without replacement from {o: 1, c: 1, a: 1, k: 1, m: 1}. Give prob of sequence cmk. 1/60 Three letters picked without replacement from {a: 5, p: 1, q: 1, k: 3, i: 1, g: 3}. Give prob of sequence qik. 1/728 Calculate prob of sequence nn when two letters picked without replacement from nkkkknkknkkk. 1/22 Calculate prob of sequence xxxx when four letters picked without replacement from xxxxx. 1 Four letters picked without replacement from yuuyyu. What is prob of sequence yuuy? 1/10 Four letters picked without replacement from {l: 3, s: 3, m: 2}. Give prob of sequence slll. 3/280 Two letters picked without replacement from {g: 7}. What is prob of sequence gg? 1 Four letters picked without replacement from {e: 5, x: 1, h: 4, j: 3}. Give prob of sequence jhhx. 3/1430 Calculate prob of sequence jsjh when four letters picked without replacement from jjhjsjpsjjjpshjpjjj. 55/7752 What is prob of sequence he when two letters picked without replacement from {e: 2, h: 2, w: 2}? 2/15 What is prob of sequence zf when two letters picked without replacement from {f: 3, z: 2}? 3/10 Two letters picked without replacement from {k: 8, y: 1, i: 2, q: 1, w: 3, m: 1}. Give prob of sequence kw. 1/10 What is prob of sequence rxob when four letters picked without replacement from {r: 3, x: 2, b: 2, e: 1, d: 2, o: 4}? 2/1001 Three letters picked without replacement from ybrhbhhrlybyhy. What is prob of sequence bry? 1/91 Two letters picked without replacement from tytyy. What is prob of sequence yt? 3/10 What is prob of sequence cza when three letters picked without replacement from katactaaattttztatftz? 1/570 Calculate prob of sequence mmmd when four letters picked without replacement from dddddmdmddddddm. 1/455 What is prob of sequence xkx when three letters picked without replacement from {x: 18, k: 1}? 1/19 Calculate prob of sequence tv when two letters picked without replacement from tvvt. 1/3 Calculate prob of sequence hy when two letters picked without replacement from tytth. 1/20 What is prob of sequence pe when two letters picked without replacement from {p: 1, o: 1, e: 1}? 1/6 Two letters picked without replacement from {v: 2, p: 11}. Give prob of sequence pp. 55/78 Two letters picked without replacement from ssnhnmppsnppppsmsp. What is prob of sequence nh? 1/102 What is prob of sequence uuaa when four letters picked without replacement from {u: 8, a: 2, e: 4}? 2/429 Four letters picked without replacement from {u: 5, v: 2, f: 4}. Give prob of sequence vuvu. 1/198 Calculate prob of sequence xxll when four letters picked without replacement from xllllllllllxllllxlll. 4/285 What is prob of sequence qcps when four letters picked without replacement from pkacsqp? 1/420 Three letters picked without replacement from {c: 4, o: 2, k: 10, u: 4}. Give prob of sequence ucu. 2/285 Two letters picked without replacement from {q: 1, z: 2, v: 1, o: 1, u: 2, c: 2}. What is prob of sequence ou? 1/36 What is prob of sequence zeu when three letters picked without replacement from euzeaz? 1/30 Four letters picked without replacement from {b: 3, c: 1, a: 5, m: 3, u: 8}. What is prob of sequence maac? 1/1938 Calculate prob of sequence fz when two letters picked without replacement from {s: 2, y: 1, z: 1, f: 1, l: 1, d: 2}. 1/56 Calculate prob of sequence tii when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
king 1 z, 1 b, and 2 x. 16/495 Calculate prob of picking 1 f, 1 k, and 1 h when three letters picked without replacement from {s: 1, k: 3, h: 10, f: 1, t: 2}. 3/68 What is prob of picking 1 y, 1 u, and 1 v when three letters picked without replacement from vynunyuyyfufyyuy? 1/20 What is prob of picking 1 i, 1 z, 1 o, and 1 p when four letters picked without replacement from {z: 1, o: 2, l: 3, i: 5, p: 5}? 5/182 Two letters picked without replacement from {j: 1, z: 5, m: 4}. What is prob of picking 2 m? 2/15 What is prob of picking 2 q when two letters picked without replacement from {q: 5, e: 7}? 5/33 What is prob of picking 1 d and 1 l when two letters picked without replacement from drrlyvrrr? 1/36 Four letters picked without replacement from pppmmpmmmpmpmppmmpmm. Give prob of picking 2 m and 2 p. 132/323 Calculate prob of picking 1 x and 2 a when three letters picked without replacement from {a: 2, x: 10}. 1/22 Four letters picked without replacement from {b: 6, t: 2, q: 2, k: 1, d: 3}. What is prob of picking 2 b, 1 q, and 1 d? 90/1001 Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hwcwhhhqhwwwwhww. 3/112 Two letters picked without replacement from {y: 3, r: 3, x: 1, m: 2, t: 9, u: 2}. What is prob of picking 1 t and 1 x? 9/190 Four letters picked without replacement from {z: 3, l: 7, x: 2, j: 8}. Give prob of picking 1 z, 2 l, and 1 j. 168/1615 Three letters picked without replacement from {a: 2, j: 2, e: 4, g: 1, z: 3}. What is prob of picking 2 j and 1 g? 1/220 Four letters picked without replacement from {d: 4, r: 3, b: 3, h: 1}. What is prob of picking 1 r and 3 d? 2/55 Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, d: 1, h: 1, e: 1, f: 1, u: 8}. 1/91 What is prob of picking 1 t and 3 d when four letters picked without replacement from tdttldrttdte? 2/165 Two letters picked without replacement from {j: 2, o: 4, f: 2}. What is prob of picking 1 o and 1 j? 2/7 Three letters picked without replacement from {j: 6, u: 5, m: 2}. What is prob of picking 1 j and 2 u? 30/143 Four letters picked without replacement from {j: 5, o: 4, i: 3, k: 1, w: 1}. Give prob of picking 1 o and 3 j. 40/1001 Four letters picked without replacement from vbvvvvvvbvbvvbvvvbb. Give prob of picking 3 b and 1 v. 65/969 What is prob of picking 2 e when two letters picked without replacement from {e: 5, k: 6, f: 1, i: 2, w: 1}? 2/21 Four letters picked without replacement from sffnnfsqsnsnn. Give prob of picking 4 n. 1/143 Calculate prob of picking 3 c when three letters picked without replacement from cccccc. 1 Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, m: 4}. 21/55 Two letters picked without replacement from {v: 14, g: 1}. What is prob of picking 2 v? 13/15 What is prob of picking 3 c when three letters picked without replacement from {c: 1, d: 2, m: 1}? 0 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {l: 4, z: 7, m: 1, f: 2}. 1/13 Two letters picked without replacement from geeggeeegeegeeeege. What is prob of picking 1 e and 1 g? 8/17 What is prob of picking 1 g and 3 m when four letters picked without replacement from {i: 3, j: 3, m: 4, a: 2, g: 4}? 4/455 Two letters picked without replacement from aauuuuuuuuuuu. Give prob of picking 1 u and 1 a. 11/39 Four letters picked without replacement from {e: 1, h: 5, n: 2, u: 5, f: 5}. What is prob of picking 1 e, 1 h, and 2 n? 1/612 Four letters picked without replacement from {d: 1, u: 2, f: 1, r: 3}. What is prob of picking 1 r, 1 f, and 2 u? 3/35 What is prob of picking 2 x, 1 v, and 1 k when four letters picked without replacement from {v: 4, x: 5, k: 1, p: 3, n: 1, t: 3}? 2/119 Calculate prob of picking 2 p when two letters picked without replacement from zbpppbvzmmmmvbbzpmv. 2/57 Three letters picked without replacement from bolooabboll. Give prob of picking 2 o and 1 l. 6/55 Calculate prob of picking 1 y, 1 z, and 2 d when four letters picked without replacement from {y: 1, z: 4, v: 8, d: 3, u: 1}. 3/595 Two letters picked without replacement from iiiiuiiiiiuiuiiiii. Give prob of picking 1 u and 1 i. 5/17 What is prob of picking 2 t, 1 h, and 1 m when four letters picked without replacement from eimhmhihhitith? 10/1001 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {t: 2, d: 5, g: 6, j: 3, x: 1, l: 2}. 2/57 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from lguslg. 2/15 Three letters picked without replacement from qsjqddqdjqdsd. What is prob of picking 1 s and 2 j? 1/143 Four letters picked without replacement from znnbnnbbqzqzqqzzzbb. Give prob of picking 3 b and 1 n. 10/969 Two letters picked without replacement from {j: 3, o: 9, z: 7}. Give prob of picking 2 o. 4/19 Calculate prob of picking 2 q when two letters picked without replacement from qqt. 1/3 Four letters picked without replacement from {e: 12, c: 1}. What is prob of picking 4 e? 9/13 Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {o: 3, s: 6, t: 5, v: 3}. 9/68 What is prob of picking 3 q when three letters picked without replacement from {e: 1, a: 1, q: 5, t: 2, c: 1}? 1/12 Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {n: 5, l: 9}. 45/91 Two letters picked without replacement from {e: 2, c: 1, h: 1, s: 1}. What is prob of picking 2 e? 1/10 What is prob of picking 1 h and 1 g when two letters picked without replacement from ggcbcccbhccccaccbcc? 2/171 Calculate prob of picking 3 t when three letters picked without replacement from wwhtwwyt. 0 Four letters picked without replacement from {x: 1, d: 3, z: 5, q: 4}. What is prob of picking 3 z and 1 q? 8/143 Calculate prob of picking 2 x, 1 b, and 1 y when four letters picked without replacement from {x: 4, b: 3, y: 1, l: 3}. 3/55 What is prob of picking 3 a when three letters picked without replacement from ayaammammaumamaa? 1/10 Two letters picked without replacement from dcdmicgi. What is prob of picking 2 c? 1/28 Two letters picked without replacement from {g: 1, m: 1, n: 2, p: 1, z: 2}. Give prob of picking 1 p and 1 g. 1/21 What is prob of picking 1 o and 2 m when three letters picked without replacement from mooojmm? 9/35 Calculate prob of picking 3 c when three letters picked without replacement from ccccccccc. 1 Two letters picked without replacement from tdggdduguuutudguduu. Give prob of picking 2 d. 10/171 Two letters picked without replacement from ovuewlelwleuevevwwlw. What is prob of picking 1 l and 1 o? 2/95 Two letters picked without replacement from wvctvfw. What is prob of picking 1 w and 1 v? 4/21 Calculate prob of picking 1 v and 1 k when two letters picked without replacement from xkkkvkxxxx. 4/45 Three letters picked without replacement from {h: 3, s: 4}. What is prob of picking 3 s? 4/35 Calculate prob of picking 3 d when three letters picked without replacement from adadda. 1/20 What is prob of picking 2 r when two letters picked without replacement from {r: 3}? 1 Calculate prob of picking 2 h and 2 j when four letters picked without replacement from {j: 3, h: 3}. 3/5 Two letters picked without replacement from {c: 2, j: 3}. What is prob of picking 2 c? 1/10 Two letters picked without replacement from axaaaxa. Give prob of picking 2 a. 10/21 What is prob of picking 1 v, 1 p, and 1 l when three letters picked without replacement from {v: 4, p: 9, l: 4, y: 3}? 12/95 Calculate prob of picking 3 o when three letters picked without replacement from {u: 14, o: 4}. 1/204 Two letters picked without replacement from oqcrgpoppqpq. Give prob of picking 1 g and 1 q. 1/22 Calculate prob of picking 1 r and 2 y when three letters picked without replacement from {y: 2, b: 9, r: 2}. 1/143 Calculate prob of picking 2 o when two letters picked without replacement from wwwwwowwwwwwwwmow. 1/136 Calculate prob of picking 2 h and 1 d when three letters picked without replacement from dhddddddddhhddhhddh. 65/323 Three letters picked without replacement from jjnjjnj. Give prob of picking 3 j. 2/7 Two letters picked without replacement from {a: 3, o: 2, l: 5, y: 1, w: 1, d: 3}. Give pr
{ "pile_set_name": "DM Mathematics" }
n denominator of -59/57415540 and -113/4095. 516739860 Find the common denominator of -151/35872518 and 67/528. 286980144 Calculate the common denominator of 31/414296 and -31/828592. 828592 What is the common denominator of -33/379025344 and 7/142134504? 1137076032 What is the smallest common multiple of 24469392 and 18? 73408176 Calculate the least common multiple of 14839 and 2526677. 27793447 Calculate the lowest common multiple of 9 and 7152483. 21457449 Calculate the common denominator of 41/4489095 and -79/10. 8978190 Calculate the least common multiple of 562100 and 123900. 99491700 Calculate the lowest common multiple of 3608 and 2034010. 8136040 What is the common denominator of -71/1074836 and 127/1381932? 9673524 Calculate the common denominator of 97/10294212 and 181/25735530. 51471060 Calculate the common denominator of 7/3039920 and 89/187072. 12159680 What is the lowest common multiple of 21 and 9281397? 64969779 Find the common denominator of -32/71439 and 20/10971. 261252423 Calculate the smallest common multiple of 1955 and 213095. 213095 Calculate the smallest common multiple of 745723 and 3999787. 43997657 What is the least common multiple of 33462490 and 22? 368087390 Calculate the least common multiple of 154 and 2044770. 22492470 What is the common denominator of -149/22824 and -65/16011036? 32022072 What is the least common multiple of 2790 and 333684? 1668420 Find the common denominator of -79/44078944 and -11/8. 44078944 Calculate the common denominator of -43/77 and -3/66829651. 735126161 What is the common denominator of -87/4620572 and 76/363? 152478876 What is the smallest common multiple of 2293632 and 11484? 66515328 Calculate the common denominator of 29/4235 and -103/17184420. 120290940 What is the lowest common multiple of 25909934 and 3127061? 181369538 What is the common denominator of -149/9636 and 6/10709? 103191924 Calculate the lowest common multiple of 882756 and 5081384. 1417706136 What is the least common multiple of 3948 and 4109868? 4109868 Find the common denominator of -37/5603960 and 59/14009900. 28019800 What is the lowest common multiple of 312 and 4368897? 34951176 Calculate the lowest common multiple of 50084 and 4978. 6561004 What is the least common multiple of 5836503 and 42801022? 128403066 What is the lowest common multiple of 343959 and 7095? 73951185 What is the common denominator of 3/5635 and 2/279705? 315227535 What is the least common multiple of 7685 and 139142? 36872630 Calculate the smallest common multiple of 293977 and 6. 1763862 What is the common denominator of 179/851592 and 67/71898696? 503290872 Find the common denominator of -13/60264 and -32/15903. 1145016 What is the smallest common multiple of 7477156 and 188545? 261700460 What is the smallest common multiple of 5735052 and 102? 5735052 Calculate the smallest common multiple of 247401 and 85806. 112320054 Calculate the smallest common multiple of 375876 and 29362. 104117652 What is the smallest common multiple of 112975878 and 9? 338927634 Calculate the common denominator of -33/57780310 and -93/8254330. 57780310 Find the common denominator of 63/4250 and 103/197417750. 3356101750 What is the common denominator of -82/99 and 48/1252801? 11275209 What is the common denominator of 89/60686176 and -109/160? 303430880 What is the common denominator of -43/46487 and -51/16403270? 114822890 Find the common denominator of 119/1269750 and 131/49950. 422826750 Calculate the common denominator of 121/327540 and -31/546. 29806140 Calculate the smallest common multiple of 1684253 and 9077. 48843337 What is the lowest common multiple of 8976 and 1926304? 63568032 What is the common denominator of -71/419562 and 1/699759? 200131074 Calculate the lowest common multiple of 268368 and 849832. 5098992 Calculate the common denominator of 37/59850 and 97/5109100. 321873300 Calculate the lowest common multiple of 2095584672 and 18. 6286754016 Calculate the common denominator of -61/4940 and 69/8587696. 42938480 Calculate the common denominator of 85/194766 and 3/2860. 1947660 What is the least common multiple of 11315 and 273166? 42340730 What is the common denominator of 44/29978787 and -79/313914? 59957574 Find the common denominator of 53/2 and 15/53091068. 53091068 What is the lowest common multiple of 130824 and 39534? 861999336 Calculate the least common multiple of 3777 and 1122996. 1413851964 What is the smallest common multiple of 3168176 and 1260070? 110886160 What is the least common multiple of 1132452 and 48? 4529808 What is the smallest common multiple of 11411964 and 74588? 11411964 What is the least common multiple of 280830 and 21978? 2527470 What is the lowest common multiple of 11 and 11008274? 121091014 Calculate the least common multiple of 58710 and 70015. 43269270 Calculate the common denominator of -137/132 and 63/20384276. 61152828 Calculate the smallest common multiple of 34664344 and 13896. 311979096 What is the smallest common multiple of 6300 and 130578? 19586700 Calculate the lowest common multiple of 4497044 and 2116256. 35976352 Calculate the lowest common multiple of 155238 and 5410. 419918790 Calculate the least common multiple of 4807 and 68402. 14296018 Calculate the smallest common multiple of 90938 and 192. 8730048 Find the common denominator of 109/80316 and 191/6157560. 18472680 Calculate the common denominator of -79/2604 and -8/68355. 273420 Calculate the least common multiple of 2127 and 9382. 19955514 What is the lowest common multiple of 4293696 and 417696? 983256384 Calculate the common denominator of -99/584 and -137/46902. 13695384 What is the common denominator of 151/69264 and -61/22200? 1731600 What is the lowest common multiple of 2543 and 1163? 2957509 What is the lowest common multiple of 207 and 1708164? 1708164 What is the common denominator of -95/396178 and -33/326? 64577014 What is the least common multiple of 17753452 and 6299612? 195287972 Calculate the smallest common multiple of 8120 and 89880. 2606520 Find the common denominator of 29/1632186 and -41/1994894. 17954046 Find the common denominator of 31/899280 and -115/13219416. 132194160 Calculate the common denominator of -95/1316 and -1/638260. 638260 What is the smallest common multiple of 156 and 452472? 5882136 Find the common denominator of 199/124740 and -62/9801. 1372140 What is the lowest common multiple of 120786 and 300120? 147358920 Find the common denominator of 145/4878 and 121/110665560. 331996680 Calculate the least common multiple of 1012 and 47906. 24240436 Calculate the common denominator of -58/1047 and -13/2232174. 779028726 Calculate the smallest common multiple of 8869 and 2414902. 16904314 Calculate the common denominator of 44/3658239 and -67/26. 7316478 Calculate the least common multiple of 90665154 and 45. 453325770 What is the common denominator of -32/14275 and -7/7988290? 39941450 Calculate the common denominator of -59/224587 and -25/2531708. 27848788 Calculate the common denominator of 31/505040 and 123/741040. 79291280 Find the common denominator of -27/1768 and -69/169184. 2199392 Find the common denominator of -51/4094 and -67/329637. 1349533878 What is the lowest common multiple of 188652 and 3030? 95269260 What is the common denominator of 53/2632744 and -61/2292? 7898232 Calculate the common denominator of -69/406 and -27/49821275. 99642550 Find the common denominator of -193/200340570 and 33/32. 3205449120 Find the common denominator of -8/1517 and -25/57646. 57646 Calculate the common denominator of -61/48 and 79/4731688. 28390128 What is the least common multiple of 642804 and 14169636? 325901628 Calculate the common denominator of 8/2139035 and -123/4278070. 4278070 Calculate the smallest common multiple of 273 and 261570. 23802870 Calculate the common denominator of 44/15810977 and -51/15810977. 15810977 Calculate the least common multiple of 9 and 20684771. 186162939 Calculate the lowest common multiple of 7928676 and 6034. 7928676 What is the smallest common multiple of 4049760 and 944944? 28348320 Calculate the smallest common multiple of 6472 and 176736. 142979424 Calculate the common denominator of -31/349607 and -28/451. 3845677 What is the common denominator of -53/1891
{ "pile_set_name": "DM Mathematics" }
+ 2. Let d(b) = -19*b**3 + 6*b**2 - 8*b + 5. Let k(u) = -3*d(u) + 8*i(u). Determine k(1). 8 Let f(c) = c**2 + 4*c - 9. Suppose -119 = -15*n + 32*n. Calculate f(n). 12 Let q(g) = -g + 42*g**2 - 2 - 25*g**2 - 15*g**2 + g**3. Suppose 2*o + 0*o = -4. What is q(o)? 0 Let h(r) = -10*r + 4. Let c be ((24/18)/2)/(4/24). Give h(c). -36 Let o be 1 + (-36 - -1)/5. Let p be o/4*40/12. Let g(k) = k + 3. Let x(a) = 3*a + 8. Let l(j) = 8*g(j) - 3*x(j). Calculate l(p). 5 Let w(d) = 6*d - 20. Suppose -19 = -5*m - 2*a, -5*m = -51*a + 46*a - 40. What is w(m)? 10 Suppose -3*o = -d + 3*d - 15, 2*d + 15 = 3*o. Let b(v) = v**3 - 7*v**2 + 6*v - 6. What is b(o)? -26 Suppose -23*q = -14*q + 45. Let m(j) = j**2 + 5*j - 7. Determine m(q). -7 Let m(h) = 3*h - 3. Let u = -26 + 31. Suppose -1 + 27 = 3*t + u*w, -5*w = -20. Give m(t). 3 Let n(z) = z**2 + 2*z + 7. Let a be n(-7). Suppose -7*f = a - 0. Let v(y) = y - 1. Determine v(f). -7 Let s(b) = -2*b**2 + 17*b + 38. Let g be s(-2). Let w(u) = 9*u**2 + 13*u + 2. Let o(q) = 8*q**2 + 12*q + 2. Let t(n) = -7*o(n) + 6*w(n). Determine t(g). -10 Let v(k) = -5*k**3 - k**2 + 2*k - 1. Let i be v(1). Let r = i + 2. Let g(o) be the first derivative of 3*o**2/2 + 4*o - 2705. Calculate g(r). -5 Let y(c) be the second derivative of c**4/24 + 5*c**3/6 + 3*c**2/2 - 2*c. Let v(k) be the first derivative of y(k). Let u = -68 - -68. Calculate v(u). 5 Let q = -599 + 601. Let c(r) = -8*r**2 - r + 3. Give c(q). -31 Let j(x) be the third derivative of x**8/2240 - x**6/360 - 5*x**4/8 - 33*x**2. Let c(q) be the second derivative of j(q). Calculate c(2). 20 Let l = 0 + 2. Let x(u) = -2 - u**3 + 0 - 2*u**l + 0*u**2 + 1. Let m = 4 - 6. What is x(m)? -1 Let v be 2/(-9) + 7/(-9). Let f(m) = -m**2 - 11*m - 4. Let r(s) = 2*s**2 + 14*s + 5. Let c(a) = -5*f(a) - 4*r(a). What is c(v)? -2 Let q(i) = 11*i + 6. Let a = 708 + -711. Give q(a). -27 Suppose c + 6 = -c. Let u(f) be the second derivative of -f**6/360 - f**5/60 - 11*f**4/12 - f. Let r(q) be the third derivative of u(q). Calculate r(c). 4 Let l = -2 + 4. Let d(i) = 5*i + 1 - 3*i - 4*i - 2*i**l. Let u(b) = b**3 - 11*b**2 - 9*b - 35. Let y be u(12). Give d(y). -3 Let g(q) = 4*q**2 - q - 1. Suppose -2*u + 49*y = 46*y - 4, -5*u - 2*y - 9 = 0. What is g(u)? 4 Let b be (18/(-27))/(8/156). Let v(g) = g + 1. Calculate v(b). -12 Suppose 3*v - 15 = 6*v. Let j be (-24)/v - (22/(-10) + 2). Let h(p) = -p + 11. Calculate h(j). 6 Let c(f) be the second derivative of -f**3/3 + 3*f**2/2 - 83*f. Give c(-3). 9 Let r(q) be the first derivative of q**2/2 + 9*q + 47. Let w be (0 + -3)*(-9)/(-3). Determine r(w). 0 Let d(i) = -6*i. Let u(f) = -18*f - 1. Let s(a) = 7*d(a) - 2*u(a). Calculate s(4). -22 Let j(g) be the first derivative of -5*g**3/3 - 45. Calculate j(1). -5 Suppose -d - d - 2 = 0. Let g be (2 + 1 - d)*-1. Let z = 2 - g. Let h(b) = -b + 6. Give h(z). 0 Let y(w) be the second derivative of -w**5/20 - 5*w**4/6 - 4*w**3/3 + 2*w**2 - 10*w. Suppose -5*m - 36 = -m. Determine y(m). -5 Let j(v) = -2*v - 14. Let i(f) = -1. Suppose 0 = y - 0 + 3. Let a = -7 - y. Let r(m) = a*i(m) + j(m). Give r(-7). 4 Suppose -l - j = 4*l - 2, 0 = -2*l + 2*j - 4. Let z(w) = w - 2. Let u(t) = -4 + t + 1 + 0. Let f(m) = 2*u(m) - 3*z(m). What is f(l)? 0 Let o(j) = -3*j + j - 5*j - 3 - 7. Let r(m) = -3*m - 5. Let w(u) = 2*o(u) - 5*r(u). Determine w(-4). 1 Let y(d) be the third derivative of d**4/12 - 11*d**3/6 + 567*d**2. Calculate y(17). 23 Let s(p) = p - 21. Let k(q) = q**2 - 6*q - 36. Let y be k(10). Let r(w) = -5*w + 3*w + w + 20. Let t(b) = y*r(b) + 3*s(b). What is t(0)? 17 Let n(v) = -6*v - 6*v**2 + 5*v**2 + 0*v**2 - 39 + 34. Give n(-6). -5 Let b(t) = -5 + t + 0 + 2 - 2. Let h be b(7). Let o(l) = l**3 - l**2 - 3*l + 3. Calculate o(h). 1 Let i = -7 + 5. Let q be (-2)/i - 4/(-1). Let p(d) = 33*d - d**2 - 10*d - 10 - 19*d + 3. Calculate p(q). -12 Let w = 2 - -3. Let d(v) = 0 - w*v + 1 + 6*v. Suppose -4*k - 17 - 3 = j, 2*j = 3*k + 15. Calculate d(j). 1 Let k(f) be the third derivative of -f**5/60 - f**4/6 + 5*f**3/6 + 3*f**2 + 39. Calculate k(-7). -16 Let m be (-56)/336 - (-11)/(-6). Let g(h) = 12*h + 1. Determine g(m). -23 Let g(s) = 186*s**3 + s + 4*s**2 + 4 + 0 + 1 - 185*s**3. Let i(z) = -5*z + 4*z**2 + 0*z**3 - 6*z**3 + 2 + 5*z**3. Let q be i(3). What is g(q)? 1 Let m(o) = 2*o - 5. Let r(u) = 4*u - 9. Let t(z) = 5*m(z) - 3*r(z). Let w = 4 - 1. Give t(w). -4 Let k(i) = i**3 + 8*i**2 + 4*i - 10. Let b = 188 + -195. Calculate k(b). 11 Let c be (((-40)/(-25))/2)/(2/5). Let m(w) = -4*w**3 + 1. What is m(c)? -31 Let g(b) = b**2 - 17*b + 66. Let k be g(5). Let d(q) be the third derivative of 0 + 0*q + 0*q**4 + k*q**2 - 2/15*q**5 + 1/6*q**3. What is d(-1)? -7 Let l(a) be the second derivative of -a**5/20 - 5*a**4/12 + a**3 + 3*a**2 - 3*a - 10. Let b be (-2)/(-4) + (-13)/2. Give l(b). 6 Suppose -3*w + 57 + 30 = 0. Suppose 23 = -2*z + w. Let l(s) = -2 + 2*s**2 - 4*s**2 + 3*s**2 - 2*s. Give l(z). 1 Let r(n) = 11*n**2 - 1. Let x be -7 + 5 + 1 + 2. Suppose 0 = 4*q + x - 5. Determine r(q). 10 Let m(y) = -y**2 + 3*y**3 - 39 + 38 - 2*y**2 + 10*y - 11*y. Calculate m(2). 9 Let f(i) be the third derivative of i**6/120 - 29*i**5/60 - 5*i**4/4 - i**3/3 + 3*i**2 + 1. Determine f(30). -2 Let q(n) be the first derivative of 1/3*n**3 + 2*n**2 + 4 - 1/4*n**4 - 2*n. Determine q(3). -8 Let a(n) = 5*n - 9. Let m = -1 + 7. Let y(v) = 9 - 5 + 6*v - 5 - 5*v. Let b(c) = m*y(c) - a(c). Give b(3). 6 Let j(l) = l**2 + 11*l - 16. Let q = -98 + 86. Calculate j(q). -4 Let t(f) = -30*f**3 - 3*f + 3. Let c be t(1). Let w = -25 - c. Let a(y) = -y**3 + 5*y**2 - y - 3. Give a(w). -8 Suppose k - f + 3 = 0, -k + 4*f = -0*k + 15. Let q(c) = -2*c**3 + 2*c**2 - 2*c + 1. Calculate q(k). -1 Let z(g) = g**3 - g**2. Let d(a) = -a**3 + a. Let h(p) = 3*d(p) + 4*z(p). Give h(4). 12 Let x(q) = -q - 1. Let s(f) = -2*f**2 + 25*f - 73. Let u be s(7). Determine x(u). -5 Let r = 162 - -4. Suppose -r*q = -163*q - 18. Let f(g) be the first derivative of -g**2/2 + 4*g - 1. Calculate f(q). -2 Let j = 2 + -4. Let b(t) = -3*t + 11. Let c(z) = z - 5. Let n(k) = j*b(k) - 5*c(k). Let w(g) = -3*g**2 - 6*g + 4. Let p be w(-3). Give n(p). -2 Let j(d) = 6*d**2 + 7208*d**3 - 7209*d**3 + 18 + 4*d - 2. Determine j(7). -5 Let k(h) = h**3 - 5*h**2 - 15*h + 4. Suppose -31*a = -46*a + 105. Determine k(a). -3 Let k(s) = 6262 + 3*s**2 - 2*s**2 - 6264. Determine k(-2). 2 Let o = -958 - -958. Let n(d) = -2*d + 30. Determine n(o). 30 Let q(n) = -n**3 - 6*n**2 - 13*n + 5. Let b(c) = -2*c + 1. Let r(k) = 6*b(k) - q(k). Calculate r(-6). -5 Let x(s) = -s**3 + s**2 + s + 6. Suppose -1 + 71 = 5*h. Let b be 24/h + (-2)/(-7). Suppose -b*m = m. Calculate x(m). 6 Let m be 13/4 - (-2)/(-8). Suppose -c + 4*c = 6, m*g - 14 = -c. Suppose 0 = 5*r - g*w + 12 + 15, -3*r - 6 = w. Let z(v) = 2*v + 2. What is z(r)? -4 Let l(x) = 3*x**3 + 12*x**2 - 17*x - 19. Let s(k) = -k**3 + k**2 + k - 1. Let v(g) = -l(g) - 4*s(g). Let z be v(15). Let m(a) = -a**2 - 4*a + 10. What is m(z)? -11 Suppose 0*n + 2*n = -66. Let c = -40 - n. Let u(b) = -b**2 - 7*b + 6. What is u(c)? 6 Let y(s) = 4 + 2*s - 4*s + s. Let p(q) = -q**2 + 3. Let k be p(0). Suppose -5 = k*d - 20. Calculate y(d). -1 Suppose 0 = -4*y - 50 + 2. Let b be y/(-30) - 84/10. Let v = b - -12. Let s(r) = -r**2 + 4*r - 3. Calculate s(v). -3 Let v = 152 + -148. Let x(l) = -8 + 258*l**3 + v*l**2 + 2*l**2 + 4*l - 259*l**3. Calculate x(6). 16 Let o(n) = n**2 - 2*n + 1. Let m be o(3). Let a(u) = u - 33. Let w(s) = s - 27. Let g(j) = 4*a(j) - 5*w(j). What is g(m)? -1 Let f(r) be the third derivative of -r**6/120 - 13*r**5/60 - 11*r**4/24 + 4*r**3/3 + r**2 - 14*r. Calculate f(-12). -4 Let g(b) = 8*b. Let y(h) = -h**2 - 4*h. Let o be y(-3). Let s be (4/12)/(1/6). Suppose s*k + o = 1. What is g(k)? -8 Let h(f) be the first derivative of f**5/60 + f**4/12 - f**3/6 - f**2/2 - 16. Let m(p) be the second derivative of h(p). Calculate m(-4). 7 Let v(j) = j**2 - 4*j**2 - 4*j**2 + j**3 - j + 4. Let q be (9 - 2)/(4 + -3). Determine v(q). -3 Let l(g) = -g**2 - 23*g - 19. Let u be l(-22). Let t(d) be the first derivative of 0*d + 1/2*d**2 + u. Give t(1). 1 Suppose 35*v + o = 30*v - 15, 5*v - 3*o + 35 = 0. Let i(r) = -r**2 - 7*r - 8. What is i(v)? 4 Let p(o) be the second derivative of -1/2*o**3 + 3*o**2 + 60*o +
{ "pile_set_name": "DM Mathematics" }
((t**4*t)/t*t**(-1))/(t*t**(-2/19)*t*t**(-2/11)))**(-17/2) assuming t is positive. t**(-4573/418) Simplify ((k**(-6/29)/k**(1/26))/(k*(k*k**(-36)*k*k)/k)**(-2/5))**(-6/5) assuming k is positive. k**(152067/9425) Simplify ((a**5/(a/a**(-3)))/(((a**(-3)/a)/a)/(a**(-2)*a)))**(-21) assuming a is positive. a**(-105) Simplify (p**(3/4)*p*p**(-2/9))**35/(p*p**(1/7)*p*p*p*p*p*p*p**(-3)*p*p*p*p)**(-14/11) assuming p is positive. p**(25279/396) Simplify ((c*(c/((c/(c*c*c**3*c*c*c))/c)*c)/c*c**(3/2)/c*(c**(-6)/c)/(c/((c/(c/(c/((c/(c**2*c))/c))))/c*c)*c))**44)**(4/13) assuming c is positive. c**(968/13) Simplify ((f**(-9/2))**(2/33)/(f*f**(3/14)*f*f)**(-23))**(-39) assuming f is positive. f**(-442377/154) Simplify ((((g**1)**3)**(1/4))**(2/9))**(-16) assuming g is positive. g**(-8/3) Simplify (r**4*r*r/(r/r**(4/9)))/(r**(-1/3)/((r*r**(-1/3))/r))*(r/r**(2/7))**(2/13)*(r*r**1*r)**(2/69) assuming r is positive. r**(106265/18837) Simplify (c**(-2/7)/c*c**(-1/2))/(c/((c*c/c**(-1))/c*c))**(-2/47)*(c*c**6*c)/((c/(c/(c*c**(5/4))))/c)*(c*c*c**5)/c**(-1) assuming c is positive. c**(16949/1316) Simplify (j**1)**(-47)/(j**5/j**(1/5))*(j**0*j)**(-32)*(j**1*j)**(-40) assuming j is positive. j**(-819/5) Simplify (((q/(q*q**(2/7)))/q)/q*q**(1/4)*(q*q/q**(1/4))**(-5/4))/(q**(-10)*q*(q/q**(-5)*q)/q)**(-42) assuming q is positive. q**(-14585/112) Simplify ((((d*d/d**(-2/5)*d*d*d*d)**(-1/4))**(1/2))**(-7))**(-49) assuming d is positive. d**(-1372/5) Simplify ((a*a**(1/7))**(-2/13)*(a**(-8)*a*a)/a**(-1/9))**10 assuming a is positive. a**(-49670/819) Simplify (w/w**12*w*w**(1/6)*w)**(12/5)/((w/((w*w**1/w)/w)*w**(-2/9)*w*w*w)/(w**(-1))**(-2/51)) assuming w is positive. w**(-19078/765) Simplify ((n**(-1/3))**(2/13)/(n**1)**(-44))/(n**1/(n*n/(n/(n/(n/n**(-2)*n))))*((n/n**(-6/11))/n*n*n)/n*n*n*n*(n**(-2/7)/n*n)/n) assuming n is positive. n**(113180/3003) Simplify ((t**(2/45)*t*t**(2/65)/t)/((t**0*t)/t**41))**(2/71) assuming t is positive. t**(46888/41535) Simplify (((y**(-5)/(y*y*y**2*y))**(-47))**(3/19))**(-43) assuming y is positive. y**(-60630/19) Simplify (((i/((i**(-2/15)/i)/i))/i*i)/i**(1/9))**(2/79)*((i**(-2)/i)**(-21/8))**(2/37) assuming i is positive. i**(264221/526140) Simplify ((f*f*f**0/f*f*f)**(-2/91))**26/((f**1*f/f**0)/(f*f**(-2/3))**(-2/87)) assuming f is positive. f**(-6800/1827) Simplify ((i**2/i)**(2/23)*(i**(-2))**(-2/9))/(i**3/(i*i**(-4))*(i*i**7/i)/((i/(i*i**(-2/5)))/i)) assuming i is positive. i**(-13526/1035) Simplify (g*g/((g/g**(-1))/g)*g*g*g*g*(g**6*g)/g)**(-10/11)/((g**7/g*g)/g**(-3/5)*((g**(1/4)/g*g)/g)**(-35)) assuming g is positive. g**(-877/20) Simplify (((r**(2/7)*r)/(r*r**(3/11)/r*r))/(((r*r**(-6/13)*r)/r)/r**(-1/6)))**(-1/27) assuming r is positive. r**(4157/162162) Simplify (v**6/(v/(v*v*v**7*v))*(((v/(v/((v*v**(-4)/v*v)/v)*v*v))/v)/v)/v**(1/2))/((v**(-2/3)*v)**(-5/7)/(v*v**(-2/9)*v/v**2)) assuming v is positive. v**(821/126) Simplify s**2/(s/(s*s**(-1/2)*s))*(s**(2/7))**(-5/14)*((s*s**(-2/9))**(-35))**(-14) assuming s is positive. s**(338255/882) Simplify (q**(-7)*q*q**32/q)/((q*q**(-37))/(q**(-1/2)*q)) assuming q is positive. q**(123/2) Simplify (w**(1/5))**(-2/107)*w**(-5)/w**0*(w/w**(-4))/w*w/w**(-4/7)*((w*w*w/w**(-2/5)*w)/w)**19 assuming w is positive. w**(244053/3745) Simplify ((q*q**(2/15))/(q/q**(-1/5)))**(1/18)*(q**0)**43*(q**(-2)/q)**(2/45) assuming q is positive. q**(-37/270) Simplify (h*h**(2/3)*h*h)**(-2/11)*(h/h**0)/(h*h**(-4))*(h**(2/5)/h)**3*((h*h**1)/h)/h*h**3*h assuming h is positive. h**(83/15) Simplify ((t*t**(-5))/t**(1/14))**3*((t**(-1)*t)/(t**8*t))/(t**3/t**(-3/10)) assuming t is positive. t**(-858/35) Simplify n**3/(n**1*n)*(n**(1/2))**(18/11)*((n*n/(n/(n/(n**10*n)))*n)/(n*n**(-3/11)*n))**(-1/30) assuming n is positive. n**(707/330) Simplify (v**0*v**(-1/2)*(v*v**(-1/4)*v)**(-45))/((v**(-1/3))**(-33)/(v/v**(5/2)*v**(5/4)/v)) assuming v is positive. v**(-183/2) Simplify (d*d**(-1/37)*d**(-2/15))/(d**(3/10)*d**36/d) assuming d is positive. d**(-38251/1110) Simplify ((f/f**(-3/2))/(f/(f**(-1)*f*f*f))*(f*f**0*f)**19)/(((f/(f*f*f**(2/19)*f*f))/f**(-2/11))/(f/f**3*f*f**(1/4)/f)) assuming f is positive. f**(35675/836) Simplify ((t*(t/(t/t**1*t))/t)**(-12)*(t**(-5/3))**(2/3))**(1/10) assuming t is positive. t**(-1/9) Simplify ((z*z**(-1/16))/z*z*z**17*z*z*z)/(z*z**(-27)*z**(-48)/z) assuming z is positive. z**(1535/16) Simplify ((t*t**2*t*t)**(-16))**(-3/40)/((t**(-2/11))**(-9/2))**(-4/3) assuming t is positive. t**(78/11) Simplify (h**1)**(-7/6)/(h**(4/3)/(h*h/h**6))*(h*h*h**(2/3))**(-16)*h*h**0*h**3*h assuming h is positive. h**(-265/6) Simplify ((t**(-1/3)/t)**(4/7)*t*t**(3/4)*t**(-2/9)/t)/(t**(-12)/(t/(t/t**(2/7))))**(-10) assuming t is positive. t**(-31019/252) Simplify ((v/(v**1/v*v)*v)**28)**(-19/2)*(v**(1/4)/((v/(v*(v*v*v/(v*v*v**(2/7)/v))/v))/v))**47 assuming v is positive. v**(-4863/28) Simplify ((k**2)**(-8/9))**(-6/5)*((k*k*k**1*k)**(-33))**(-30) assuming k is positive. k**(59432/15) Simplify (((d**(1/3)*d)/(d/(d*d/d**(2/7))*d))/(d**4*d*d**(-1/4)))/((d/((d*d*d*d**(-6)*d*d)/d*d))/d**(-2/19))**(12/5) assuming d is positive. d**(-13973/1596) Simplify (k*k/k**17*k/k**19*(((k*k/k**(-3/8))/k)/k)/k**12)**(-50) assuming k is positive. k**(8925/4) Simplify ((h*h/(h**(-2/51)*h*h)*h*h)/h)/(h/(h/(h*h**(-2/5)*h)))*(h**(2/21)/h)/(h*h*h/(h*h**(-2/27)/h)) assuming h is positive. h**(-72929/16065) Simplify (k**(5/3)/(k*k/(k**5*k))*k/(k*k/(k/(k**(1/8)/k)))*k*k**(-1))/(k/(k**1*k)*k**7*k**(-2/3)*k**(2/9)) assuming k is positive. k**(71/72) Simplify ((s*s**(1/10))**(-2/113)/(s/((s/s**(-1))/s))**(-12/5))**34 assuming s is positive. s**(-374/565) Simplify ((((x*x/((x*x**(12/11)/x*x)/x)*x)/x**(3/7))**(-9))**(-11/8))**(5/8) assuming x is positive. x**(2565/224) Simplify (((m*m/m**30*m/(m*m*m*m/m**(1/36)*m))**(2/3))**(-2/13))**(-2/67) assuming m is positive. m**(-2302/23517) Simplify (g**21)**(-9)*(g**27)**16 assuming g is positive. g**243 Simplify (m**19*m*m**4*m*(m*m**(2/5))**(-4/5))**(2/5) assuming m is positive. m**(1194/125) Simplify ((c*c**(-11/4))/((c/(c*c**(-41)*c))/c))/(c**42/(c**(-1/3)/c)) assuming c is positive. c**(-1009/12) Simplify ((l**(-1)/l)**(4/11)*(l/(l*l/l**(4/21)*l))/(l**(31/4)*l))**47 assuming l is positive. l**(-490163/924) Simplify (((i*i*i/(i/(i**(-1/3)/i)))/i)/(i**(-2)*i))**(-25)*(i/i**(-5/3))/i**(1/5)*i**6*i*i**4 assuming i is positive. i**(-16/5) Simplify (u/(u/(u/(u**(1/5)*u))))/((u*u*u**(1/43)*u)/u)*(u/((u/(u*(u**(1/4)*u)/u))/u))/u*u*u*u/(u*u/u**(-35)) assuming u is positive. u**(-30077/860) Simplify ((q**(-7/5)*q*q**(-16)/q*q)/(q**(2/55))**(5/4))**(1/26) assuming q is positive. q**(-1809/2860) Simplify ((q**(-2)*q/(q*q**(-1/9)))/(q*q**0)**5)/(((((q**(-3/4)*q)/q)/q)/q**7)/(q*(q**(1/6)*q)/q*q*q**(-5)/q)) assuming q is positive. q**(-71/36) Simplify (j/j**(-1))**(-32/7)*j**(2/7)/(((j**(-2)/j)/j)/j)*((j**(-5)/j)/j)/((j/(j*j**(-1)))/j*j)*j/(j*j/(j/(j**(1/6)*j))*j)*j**6 assuming j is positive. j**(-337/42) Simplify (u**8*u/(u/(u*u**(-5)*u*u)))/((u*u/u**(-2))/u)**(2/29)*u**(-1)*u**(-2/3)*((u/u**(-1/4)*u)/u)**(-41) assuming u is positive. u**(-16399/348) Simplify ((r**(-1/23)/(r/(r/(r/(r**(3/8)*r)*r))))**(2/9))**13 assuming r is positive. r**(-533/276) Simplify (((j**0)**(-4)/((j*j*j/(j*j/j**(-1/4)*j))/j)**(1/13))**(-1/10))**(-48) assuming j is positive. j**(6/13) Simplify (i/(((i**(1/2)/i)/i)/i))/(i**(-1)*i)*i*i**5*i*i**1*(i*i/i**(1/4)*i**0/i*i)**(-10/7) assuming i is positive. i**9 Simplify q**2*q*q*q/((q/((q*q**(-1/3))/q))/q)*q*(q/(q/q**(1/2)*q))**42*(((q*q/(q/q**(3/14)))/q)/q*q*q/q**8)**(2/105) assuming q is positive. q**(-2273/147) Simplify ((j/j**(2/13))/j*(j/(j/j**(-1/2)))/j*j*j**(1/17)*j*j**7)/((j**2)**(3/7))**(1/5) assuming j is positive. j**(111903/15470) Simplify (n**(-2/143)*n)**(5/2)*n*(n/(n**(-38/3)/n))/n*n/n**26 assuming n is positive. n**(-6751/858) Simplify ((u**(-1/2)*u**(2/7))/(u/(u**(1/9)/u)*u**(-2)/u))/((u/((u/(u**(-2/5)*u)*u)/u*u*u))**(-25))**(1/5) assuming u is positive. u**(-769/126) Simplify (q/(q*q*q/(((q*q**3)/q)/q))*q**(2/3))**(-3/28)*(q**2/q*q*q/(q/(((q*q*q**(-3)/q)/q)/q)))/((((q**2/q)/q)/q)/q**0) assuming q is positive. q**(-15/14) Simplify (n/(n*(n*n**(-6/25)*n)/n)*n**44*n)/(n**(-37)*n*n*n**(-1/7)) assuming n is positive. n**(13892/175) Simplify (((o**(-5)/o)/(o**(-19)*o))/(o*o/(o*o/(o/
{ "pile_set_name": "DM Mathematics" }
2*t**2 Collect the terms in 127*y - 1803223*y**3 - 149*y + 1803221*y**3. -2*y**3 - 22*y Collect the terms in o**2 + 262 + 4*o**2 + 6*o**2 - 537 + 270. 11*o**2 - 5 Collect the terms in p**2 - 4*p + 36*p**2 + 117*p**2 + p. 154*p**2 - 3*p Collect the terms in -1571*v**2 + 187 + 3*v**3 + 1571*v**2. 3*v**3 + 187 Collect the terms in -10*y - 10*y + 19*y + 304*y**2 + y. 304*y**2 Collect the terms in 1478 - 7*l - 4419 + 1472 + 1469. -7*l Collect the terms in -1063*l**3 + 2138*l**3 - 1018*l**3. 57*l**3 Collect the terms in 23*x - 13*x + 20*x + 10*x - 39*x. x Collect the terms in 18713*z**2 - 9357*z**2 - 9361*z**2 + 17*z**3. 17*z**3 - 5*z**2 Collect the terms in 4*r**3 + r**3 + 34*r - 287*r - 8*r**3. -3*r**3 - 253*r Collect the terms in 18 + 22 + 2*v + 201*v**2 - 21. 201*v**2 + 2*v + 19 Collect the terms in 12*f - 3*f + 0*f - f - 3*f. 5*f Collect the terms in -52*f**2 + 17*f**2 + 0*f**2 + 15*f**2. -20*f**2 Collect the terms in -42*d**3 + 1150637*d - 4*d**2 + 4*d**2 - 1150637*d. -42*d**3 Collect the terms in -33*p**2 - 17*p**2 - 98*p**2 + 266*p**2. 118*p**2 Collect the terms in 302*r - 302*r + r**3 - 1098 + 1098. r**3 Collect the terms in -22*q**2 + 9*q**2 + 44357*q**3 + 13*q**2. 44357*q**3 Collect the terms in 617*a - 346*a - 314*a. -43*a Collect the terms in 84*u - 12 + 24 - 47*u - 12 - 40*u. -3*u Collect the terms in -276644*y - 276607*y + 553249*y. -2*y Collect the terms in 0*f + f - 14*f**2 + 36*f**3 + 32*f**3. 68*f**3 - 14*f**2 + f Collect the terms in 48*w**3 - 16*w**3 + 4 + 3 + 25*w**3 - 4. 57*w**3 + 3 Collect the terms in 699*v - 268*v + 202*v. 633*v Collect the terms in 1208400*g**2 + g - g - 1208349*g**2. 51*g**2 Collect the terms in 7*r - 68 - 16*r + 7*r. -2*r - 68 Collect the terms in 4*z + z - 2*z + 2*z - 2660. 5*z - 2660 Collect the terms in -78 + 2196*s**2 + 78. 2196*s**2 Collect the terms in 0*i**3 + 3*i**3 - 288 - 6*i**3 + 229 + 59. -3*i**3 Collect the terms in 2093*b**2 - 4382*b**2 + 2088*b**2. -201*b**2 Collect the terms in 10*p + 3*p - 33*p + p. -19*p Collect the terms in -49*d**3 + 4 + 5 - 6*d**2 + 17*d**2 - 7*d**2. -49*d**3 + 4*d**2 + 9 Collect the terms in 4548*n + 14*n**3 - 2273*n - 2275*n. 14*n**3 Collect the terms in -8*o**2 + 11*o**2 + 8*o**2 - 13*o - 9. 11*o**2 - 13*o - 9 Collect the terms in -4 + 528*a**3 - 1539*a**3 + 4. -1011*a**3 Collect the terms in -118 + 108 - 229*b + 40*b - 96*b. -285*b - 10 Collect the terms in -6079*z**3 + 3003*z**3 + 2971*z**3. -105*z**3 Collect the terms in 79*v + 2 - 103*v - 76*v + 5*v. -95*v + 2 Collect the terms in 11715*z**3 + 1669*z**3 + 24381*z**3. 37765*z**3 Collect the terms in 944 - 764 - 21*o**2 + 22*o**2 + 894. o**2 + 1074 Collect the terms in 403*i - 15*i + 65*i. 453*i Collect the terms in 12*w**3 - 42*w + 9*w**3 + 42*w - 13*w**3. 8*w**3 Collect the terms in -1198*h + 3646*h - 1226*h - 1221*h. h Collect the terms in i + 108 - 1217 - 1872. i - 2981 Collect the terms in 6*t**3 - 672 - 297 + 969. 6*t**3 Collect the terms in -6*l - 12*l - 14*l - 4*l - 3*l. -39*l Collect the terms in 537971508 - 4*b - 537971508. -4*b Collect the terms in 6*v**2 - 101*v**3 + 57*v**3 + 51*v**3 - 3*v**2. 7*v**3 + 3*v**2 Collect the terms in -89*n**2 + 47*n**2 + 291*n**2. 249*n**2 Collect the terms in 19095735*h**2 - 19095735*h**2 + 3*h**3. 3*h**3 Collect the terms in -927*p - 897*p + 2753*p - 926*p - 27 + 27. 3*p Collect the terms in -2010 - 22*u**2 + 2010 + 0*u**2. -22*u**2 Collect the terms in -7*i + 4*i - 14*i + 3 - 22*i - 4. -39*i - 1 Collect the terms in -17*d**2 + 22*d**2 - 10*d**2 - d**3 + 2*d**3. d**3 - 5*d**2 Collect the terms in -7*j**3 - 54*j**2 + 54*j**2 - 12*j**3 + 7*j**3. -12*j**3 Collect the terms in -108*u + 40*u + 33*u + 33*u. -2*u Collect the terms in 630*w**3 - 310*w**3 - 314*w**3. 6*w**3 Collect the terms in 248*k - 388*k**2 + 2 + 405*k**2 - 248*k. 17*k**2 + 2 Collect the terms in -40*d**3 + 34*d**3 - 6*d + 63*d**3. 57*d**3 - 6*d Collect the terms in 94365251*r**2 - 94365251*r**2 + 25*r**3. 25*r**3 Collect the terms in -3*b - 23*b - 4*b + 27*b - 24*b. -27*b Collect the terms in 225*t**2 - 445*t**2 - 420*t**3 + 220*t**2. -420*t**3 Collect the terms in 2*b + 1 - 13*b - 150*b**2 + b + 0. -150*b**2 - 10*b + 1 Collect the terms in -533*r**2 + 3208*r**2 + 1490*r**2. 4165*r**2 Collect the terms in -95*m**3 + 38*m**3 + 39*m**3 + 20*m**3. 2*m**3 Collect the terms in 8142 - 8142 + 1073*r. 1073*r Collect the terms in -18 + 4 - 3 - 4 + 0 + 2*q. 2*q - 21 Collect the terms in -12 - 316*d**2 + 12 - 339*d**2 + 627*d**2. -28*d**2 Collect the terms in b**2 + 0*b**2 + 230*b + 153*b - 383*b. b**2 Collect the terms in -216*l - 222*l - 219*l + 874*l - 215*l. 2*l Collect the terms in -14003 + 329*k + 14003 - 302*k. 27*k Collect the terms in -4643*w**2 + 2*w**3 + 9282*w**2 - 4639*w**2 + 0*w**3. 2*w**3 Collect the terms in -4129116 - 4*x + 8258231 - 4129115. -4*x Collect the terms in -2839288*f**2 - 4*f**3 + 2839288*f**2. -4*f**3 Collect the terms in 648*j - 873*j + 568*j + 222*j. 565*j Collect the terms in -432*d**2 + 184*d**2 + 1 + 85*d**2 - 1. -163*d**2 Collect the terms in -2*m + 13*m - 3*m - 5*m. 3*m Collect the terms in -3574*g**2 - 3*g + 3*g + 3411*g**2. -163*g**2 Collect the terms in 17*k + 228 + 4*k + 4*k - 24*k. k + 228 Collect the terms in 4 + 1513*s - 4 - 1644*s. -131*s Collect the terms in 3226*p**2 + 3221*p**2 - 12919*p**2 + 3236*p**2 + 3230*p**2. -6*p**2 Collect the terms in -584*o**2 - 11 + 5 - 114*o**2. -698*o**2 - 6 Collect the terms in 4591*b - 9189*b + 4600*b. 2*b Collect the terms in 2296*b**3 + 118*b**3 - 174*b**3. 2240*b**3 Collect the terms in 47199*z**2 - 23596*z**2 - 23590*z**2. 13*z**2 Collect the terms in 1402469*x - 7*x**3 - 1402469*x. -7*x**3 Collect the terms in -961*s**2 - 7 - 3 + 7 + 2. -961*s**2 - 1 Collect the terms in -26*u**3 - 8*u**3 + 23*u**3 - 13*u**3. -24*u**3 Collect the terms in g + 13 + 49*g**2 - 49*g**2 + 6*g**3 - 13*g**3. -7*g**3 + g + 13 Collect the terms in -90*u**3 + 14*u**3 + 19*u**3 + 16*u**3 + 44*u**3. 3*u**3 Collect the terms in 1315172 + 5*w - 1315172. 5*w Collect the terms in -5608*p**2 - 107*p + 345*p**2 + 107*p. -5263*p**2 Collect the terms in 55*j - j - 3*j + 3637. 51*j + 3637 Collect the terms in -4*d - d + 109*d + 2*d - 104*d. 2*d Collect the terms in 1690 - 8*c**3 + 4599 + 632. -8*c**3 + 6921 Collect the terms in i**2 + 13*i**2 - 318 + 318 - 7*i**2. 7*i**2 Collect the terms in -12 + i + i - 8*i + 2*i. -4*i - 12 Collect the terms in 39*j - 148*j + 111*j - 3*j**2. -3*j**2 + 2*j Collect the terms in -239*l**3 + 13*l**3 - 88*l**3. -314*l**3 Collect the terms in 664*j + 660*j - 1225*j. 99*j Collect the terms in -504*z**2 + 534*z**2 + 0*z**3 + z**3 - 30*z**2. z**3 Collect the terms in 563*x**3 - 1159*x**3 + 572*x**3. -24*x**3 Collect the terms in 66*w + 86*w - 139*w. 13*w Collect the terms in 863 - 14*g - 2118 + 1257. -14*g + 2 Collect the terms in 18*r**3 + 103 - 12 - 34*r**3 + 17*r**3. r**3 + 91 Collect the terms in -17*t**2 - t**3 + 17*t**2 + 810*t. -t**3 + 810*t Collect the terms in 34*j - 9*j - 14*j**2 - 18*j - 7*j. -14*j**2 Collect the terms in 20*w**3 - 17*w**3 + 13*w + 34*w. 3*w**3 + 47*w Collect the terms in 415388*r**3 + 10*r - 10*r. 415388*r**3 Collect the terms in 53 - 171 + 68 + 68 - 24*j. -24*j + 18 Collect the terms in -37*g + 42*g - 38*g - 36*g + 55*g. -14*g Collect the terms in 38*h**2 - 390461*h + 390461*h. 38*h**2 Collect the terms in -189*h + 0 + 418*h + 0 - 226*h. 3*h Collect the terms in -54*y**2 - 48*y**2 - 309 + 309. -102*y**2 Collect the terms in 6 + 4*t + 17 + 16 - 29. 4*t + 10 Collect the terms in 34*p**2 + 374 + 369 + 367 + 331 - 1441. 34*p**2 Collect the terms in -518375948 + 518375948 + 22*h**2. 22*h**2 Collect the terms in 1119*n - 565*n - 567*n. -13*n Collect the terms in 35496*n - 12 + 12 + 20*n**3 + 0 - 35496*n. 20*n**3 Collect the terms in 177*k + 2 + 303*k + 581*k + 886*k. 1947*k + 2 Collect the terms in 248*r + 348*r - 476*r. 120*r Collect the terms in 7589 - 28*l - 7589. -28*l Collect the terms in -77*y**2 + 31*y**2 + 10*y**2 + 34*y**2. -2*y**2 Collect the terms in 399 - 1177 - a + 382 + 396. -a Collect the terms in -196*h**3 - 3*h - 2*h**2 + 2*h**2 + 161*h**3. -35*h**3 - 3*h Collect the terms in -53*w - 21*w + 60*w + 125*w + 50*w. 161*w Collect the terms in -4 - 105*i + 276*i - 169*i + 4. 2*i Collect the terms in 58
{ "pile_set_name": "DM Mathematics" }
Let n = -1 - 2. Suppose -3 + 1 = -t. Let w = -3.8507 + 1.8507. What is the second biggest value in n, t, w? w Let t = -0.7127 + -1.2873. What is the third biggest value in t, 24, -5/3? t Let f(t) = -t**2 + 12*t - 16. Let w be f(6). Let z be (-15)/w*4/24. What is the third biggest value in z, 0.4, 18? z Let m = 843 + -2531/3. Let u = 1.949 - -0.091. Let i = u - 0.04. Which is the third smallest value? (a) m (b) 0.27 (c) i c Let h(y) = -9*y - 40. Let k be h(-5). Let u = 128 + -128.79. Let v = u + 0.79. What is the smallest value in k, -5, -1/5, v? -5 Let n = 68897/9 + -7655. Let j = 1/288 + -197/1440. Which is the smallest value? (a) 0 (b) -0.1 (c) n (d) j d Let a = -3403 - -3402. Let p(f) = f + 2. Let q be p(-6). Let r be (-1*(-1)/(-4))/(-2). What is the smallest value in a, r, q? q Suppose 3*d - 2*f - 27 - 8 = 0, -5*f = 5*d - 25. Suppose 2*h - 41 = -3*r, -13*h + 93 = -d*h - 5*r. What is the second biggest value in h, 0.04, -3? 0.04 Let w = 236132/17 + -13890. Which is the third biggest value? (a) 1/14 (b) w (c) -0.41 (d) 2/5 a Suppose -4*v - 43 + 59 = 0. Suppose -3*u + 2*o - o = 98, -2*u + v*o = 62. Let g = 163/5 + u. Which is the third biggest value? (a) g (b) -3 (c) 2/63 (d) -1 d Let v = -578 - -601. What is the second biggest value in 0.002, v, -0.5? 0.002 Let s be (-1)/(-10) + 0 - (-733488)/(-18880). What is the second biggest value in 0, -3/7, s? -3/7 Let m = 0.03 - 0.09. Let h = -430.0037 - -0.0037. Let l = 434 + h. Which is the smallest value? (a) -3 (b) 1/4 (c) l (d) m a Let g = -132 - -159. Let z be 126/g + (-2)/3. What is the fourth smallest value in 2/13, 3, z, -15? z Suppose f + 2 = -3. Let q = 312 - 291.3. Let y = q + -22.7. Which is the second smallest value? (a) y (b) -0.3 (c) f a Let q = -0.07 - -0.4. Let g = q - 0.03. Suppose 5 = 5*k - 0. Which is the second smallest value? (a) k (b) g (c) 1/36 b Suppose -3623 = 7*w - 3973. What is the smallest value in -2/11, 0.2, -0.4, w, 1? -0.4 Let j = -17245/6 - -2874. What is the biggest value in 2, j, -3/199, -3? 2 Let c = -890 - -895. Suppose 22*n + 390 = 1380. What is the second smallest value in 4, n, 1, c? 4 Let z be (-558)/(-144) + -4 - 1/(-4). What is the fourth biggest value in 3, z, -1, -2, 1/5? -1 Let m = 83.9 + -84.71. Let p = -1.01 - m. Which is the third biggest value? (a) -3 (b) 0 (c) 1 (d) p d Let n = 1566 - 1565. Which is the second smallest value? (a) n (b) -2 (c) 31 a Let q = -8669/1611010 + 1/8479. Which is the second biggest value? (a) 12 (b) -1/3 (c) q c Let c = -19085 - -19084.77. What is the third smallest value in 10/7, 2/23, c, 4? 10/7 Let k = 3.17 + -7.17. What is the third biggest value in 7, k, 0? k Let o = 1.048 - 0.848. Let i(m) = -m. Let y be i(4). Which is the second biggest value? (a) o (b) y (c) 4/5 (d) 1 c Suppose 3*q + 2*x + 22 = -q, 0 = 5*x - 5. Let v be 4 + (2/4)/(q/156). Let w = v + 62/7. What is the third smallest value in -1/5, w, 3, -2/17? -2/17 Let r be -2 + 2/(-4)*478. Let a = r + 104. What is the third biggest value in 0, a, -0.4? a Let r be (1/(-21))/(41/(-246)). Which is the third smallest value? (a) -8 (b) -6 (c) -1/2 (d) r (e) -2/9 c Let w = -14.453 - -20.453. What is the second biggest value in w, -3, -3/4, -1, 0.5? 0.5 Let g = -273.33 + 273.63. What is the third smallest value in -11, g, 3, -1, -2.6? -1 Let d be (5/((-25)/(-10)))/(-2 + 4). Let t = -4.9 + 3.9. Let x = 0.014 + 0.486. What is the second biggest value in t, x, 4, d? d Let l be (-12)/(-27)*(4/11 + 552/(-792)). Which is the fourth smallest value? (a) 8 (b) 5 (c) 0.3 (d) l a Let m be (-2)/(7 + -8) - 95. Let o be (-3736)/16*4/10. Let z = m - o. Which is the biggest value? (a) 5/2 (b) z (c) 5 c Let n = 2077 + -2077.47. What is the second smallest value in -18, 0.2, n? n Let m = -9176/11 + 834. Let b = 2415/17 + -142. What is the third smallest value in m, 0, -0.4, b? 0 Let g = -2453 + 2450.6. Which is the smallest value? (a) 5 (b) -4 (c) g (d) -0.16 b Let q = -4/11 + 1/33. Let n(y) = 3*y**2 - 39*y + 134. Let x be n(12). Suppose -42 + x = 7*v. Which is the smallest value? (a) v (b) -0.4 (c) q (d) 0 b Let w = 89 + -89. Let g = -5 + w. Let a = -0.08 + 0.07. What is the biggest value in g, 0.3, a? 0.3 Let q(v) = -3*v**2 - 21*v + 88. Let p be q(-10). What is the biggest value in -2/9, -1, p, -21? -2/9 Let m(h) = h**3 - h**2 - 3*h - 1. Let y be m(-1). Let x = 1.75 - 1.914. Let t = -0.264 - x. Which is the third smallest value? (a) y (b) t (c) 6 c Let q = 4.01 + -0.01. Let r = q - 4.1. Let n = 697 + -699. Which is the second biggest value? (a) r (b) -4 (c) n (d) -3 c Let k = 12.7 - 12.233. Let y = 0.597 - k. Which is the smallest value? (a) 3 (b) y (c) 0.5 (d) 1 b Let n = -796 + 795.258. Let s = n + 0.342. Which is the smallest value? (a) -1 (b) 40 (c) -1/3 (d) s a Let l = -0.06 + 2.06. Let q = 266 - 287. Let z be 14/q - 33/(-9). What is the second smallest value in z, l, 0.5? l Let x(q) = -2*q - 9. Let t be x(-6). Suppose -4*f - t*y + 295 = 0, 255 = 4*f - 0*y - 5*y. Let u be 56/f*(-10)/4. What is the smallest value in u, 4, 0? u Let z be (3/(-21))/(4/(-12)). Let h = -717/4 + 180. Which is the smallest value? (a) z (b) -1 (c) h (d) -3 d Let z = 89197/3 - 29733. What is the fourth smallest value in 67, -9, -0.2, 0.3, z? 0.3 Let j = 78.89 + -59.89. What is the third biggest value in -5/4, 1/7, -0.7, j, -1/10? -1/10 Let l be 1 + -3 - (2 + -6). Let k = -3714.99 + 3715. Which is the third smallest value? (a) -0.4 (b) l (c) k b Let n = -2.01 - -0.01. Let c be ((-9)/21 - (-92)/(-14)) + -44 + -2. What is the third smallest value in -4/3, n, c? -4/3 Let x = 321.6 - 322.6. Which is the third biggest value? (a) 889 (b) x (c) -1/8 b Let i be (6/9)/((-30)/(-9)). Let p = 190 - 235. Let m = p + 42. What is the fourth smallest value in m, -4, -1/5, i? i Let m = 123 - 122. Let c = -9.8 + 18.8. What is the second biggest value in m, c, -4? m Let l be 0 + 7/2 - 4. Let r = 1.1 + -1.1. Let x = 3 - r. What is the second biggest value in l, x, -0.3, 2/7? 2/7 Suppose -74 + 71 = 3*h. Let x = -30 + 30.15. Let y = x + 0.05. Which is the biggest value? (a) h (b) -2 (c) y (d) -5 c Let d = 3 + 0. Suppose -9*z - 42 = 12*z. Let k be (23/(-46))/(-6 + (-4)/z). What is the third biggest value in k, -4, d? -4 Let u = -91.1 - -95.21. Let j = 0.11 - u. Let r = 1791 - 1790. Which is the second smallest value? (a) j (b) 0 (c) r b Let k be (2/7)/(6/(-14)). Let r be 2 + 0 - (-88)/(-56). Let q = -1.8 - -32.8. Which is the third smallest value? (a) k (b) q (c) r b Let d = -119736/5 - -23946. Suppose -7*m + 17 = -3*m + t, -3*m + 3*t - 6 = 0. Suppose m*v = -10 + 4. Which is the biggest value? (a) 5 (b) v (c) d a Let q = -93/85 + 5/17. Suppose -5*w + 10 = 0, 5*o + 151*w - 146*w = 35. What is the second smallest value in q, -1, 0.3, o? q Let o(f) = -5*f**2 + 39 - 3*f**3 + 39 + 7*f - 75 + 2*f**3. Let c be o(-6). Let w be ((-15)/(-9) + -1)/((-2)/c). What is the smallest value in -1/9, w, 0.5? -1/9 Suppose 0 = 3*y + 3*t - 12, 0*y - 4 = 5*y - 3*t. Let k be (-48)/(-126)*(y + 1/(-4)). Let u = 83.6 + -84. Which is the biggest value? (a) 6/13 (b) u (c) k a Let i(t) = -t**2 - 3*t - 4. Let z be i(-2). Let l = -992061 + 13895123/14. Let a = -448 + l. What is the second smallest value in -3/7, a, z? -3/7 Suppose 105*y = 106*y - 2*h - 21, -14 = 3*y + 5*h. What is the fourth smallest value in 2, -3/20, y, -1? y Suppose 2*o = a + 3, 5*o + a + 3*a - 40 = 0. What is the second smallest value in o, -1, -1.28? -1 Let z = 0.6294 + -0.1494. What is the biggest value in -9, z, 1? 1 Let g = -3319.07 + 3319. What is the third smallest value in 3.4, g, -3, -5? g Let h = -0.212 + 111.212. Let s = 107.02 - h. Let q = s + -0.02. What is the biggest value in 2/3, q, 4, -5? 4 Let j = -740 - -750. What is the smallest value in 0, j, -6? -6 Suppose -39*y + 14*y + 25 = 0. What is the smallest value in 3/8, 0.13, y? 0.13 Let y be 3 + (-78)/21 + 1. Let t = -1.132 - 0.028. Let h = t + 0.66. What is the third biggest value in y, h, 5? h Let d be (-1302)/210 + (-5)/(-1) + 1. Which is the second smallest value? (a) 0 (b) 0.5 (c) d a Let i = -0.3 + 0. Let r be 287/82*(-1)/(-7). What is the third biggest value in r, 36, i? i Let w = -0.1 + -0.2. Suppose q + 0*o = -3*
{ "pile_set_name": "DM Mathematics" }
Let w be 722/(-880) + 2/(-16). Let t = k - w. What is the common denominator of t and -117/20? 20 Suppose 41 = 3*s + 5. What is the smallest common multiple of s and 2? 12 Suppose 3*y + j = -16, 0 = -2*y - 2*y + 5*j + 4. What is the lowest common multiple of 1 and (-7 + (-1 - y))*-1? 4 Let a = -142493/727 - -196. Let i = a + 66161/2908. Find the common denominator of i and 61/10. 20 Let m be (-3)/3*26 - -2. Let z = m - -44. What is the smallest common multiple of 16/1 - (-2 - -2) and z? 80 Let j(r) = -19*r + 1. Suppose 0 = -22*h - 25 + 113. Calculate the least common multiple of j(-1) and h. 20 Let q(u) = u**2 - u + 40. What is the least common multiple of q(0) and 24? 120 Let p = -12132/7 - -1466. Let t = -12571735 + 968002920/77. Let d = t - p. Calculate the common denominator of -73/4 and d. 44 Suppose 3*q = 5*h - 1753, 3*q + h + 991 + 750 = 0. Let l = q - -1113/2. Calculate the common denominator of l and (-227)/24 - (-2)/(-3). 8 Let a(i) = -21*i - 1. Suppose 1 + 0 = -t. What is the lowest common multiple of 4 and a(t)? 20 Suppose 5*p + 1548 - 6318 = 0. Find the common denominator of 25/8 and (p/48)/((-27)/(-4)). 72 Suppose -3*f = -5*k + 60, 0*k + 2*f - 85 = -5*k. Find the common denominator of 597/(-30) - 9/k and 47/10. 10 Let c(f) = -66*f. Let w be c(4). What is the common denominator of 3/(-2)*w/27 and 109/10? 30 Let o = 186/101 + -12389/4040. Find the common denominator of o and -67/12. 120 Suppose 4*l = -5*j + 43 - 201, 3*l + 120 = -3*j. Let r = -132/13 - -823/26. What is the common denominator of r and -1 + -1 - 539/l? 6 Find the common denominator of -28*14*4/512 and -77/6. 48 Let m(b) = -2*b. Let p be m(-4). Suppose 32 = 5*q - p. What is the lowest common multiple of q and 9? 72 Suppose 0 = -4*x + 27 + 13. Let v = -4 + x. What is the smallest common multiple of 3 and v? 6 Let n = -2 - -6. Suppose -2*r - n*v = -v - 30, 3*v - 18 = -r. Calculate the smallest common multiple of r and 18. 36 Let p(y) = -4*y - 6. Let u(t) = t**3 + 7*t**2 + 23*t + 79. What is the lowest common multiple of u(-5) and p(-4)? 70 Let o = 958/9 + -2918/27. Let b = -2903/108 - o. Calculate the common denominator of b and -1 + (-52)/(-16) - 0. 4 Suppose -3*r + 13 = -2*a + 4, 0 = 2*a + 5*r - 31. Let g(v) = -v**3 + 3*v**2 + 4*v - 2. Calculate the least common multiple of 9 and g(a). 90 Let z = 36 + -30. Let r = 171 - 97. Let q = r - 52. Calculate the smallest common multiple of z and q. 66 Calculate the least common multiple of 6 and (3 - (-15 + 5)) + 1. 42 Suppose -4 = t - 3. Find the common denominator of 17/16 and (-95)/4*t/(-2). 16 Suppose v - 17 = -15. What is the smallest common multiple of v and ((-6)/(-4))/((-3)/(-4))? 2 Suppose 4*u = 5*u - 6. What is the smallest common multiple of 22 and u? 66 Suppose 3*j + 24 = 2*a, 2*a - 3*j = -a + 36. What is the lowest common multiple of a and 12? 12 Suppose g - 5*g + 24 = 0. Suppose -45 + 50 = k. What is the least common multiple of k and g? 30 Calculate the common denominator of 220/(-32) + (-9)/12 and -111/20. 40 Suppose 5*x = f + 38, -5*f - 2*x - 169 = -6*x. Let u = f - -55. What is the lowest common multiple of 8 and u? 88 What is the common denominator of (-840)/16*(-2)/9 and 46/27? 27 Let o be ((4 - 1)/81)/(-15). Let p = o + 40913/3240. Find the common denominator of p and 54/5. 40 Let i(y) = -y - 11. Let x be i(-12). Find the common denominator of 2/x - (-39)/16 and 77/4. 16 Let g be (-26)/(-10) - (-4)/10. Suppose 20 = -w + g*w. What is the least common multiple of w and 18? 90 Let v(b) = b**2 + 5*b + 8. Calculate the smallest common multiple of v(-5) and 18. 72 Let c be 3699*(3/2 - 2). Let k = c + 1888. Find the common denominator of k and -37/5. 10 Let a = 118715 + -4866829/41. Let i = 2783/246 + a. Calculate the common denominator of 97/10 and i. 30 Let t be (-62)/(-22) - 4/(-22). Suppose -t*u + 164 = u. Let x = u + -58. Find the common denominator of x and -37/4. 4 Let c(i) = -i - 11. Let m(r) = 4. Let g(n) = -2*c(n) - 7*m(n). What is the least common multiple of g(9) and 7? 84 Let c(m) = m - 1. Calculate the smallest common multiple of c(9) and 22. 88 Suppose 2*d - 2*x = 0, 4*d = -4*x + 11 + 5. Suppose -d*u + 9 = -3. Calculate the smallest common multiple of u and 2. 6 Let k be 16*(-1)/((-3)/3). Suppose 0 = -2*a + 4*f + k + 16, -4*f - 68 = -4*a. What is the lowest common multiple of 10 and a? 90 Let v = -708125/85554 - 4/4753. What is the common denominator of v and 3 - ((-2)/(-1) - (-79)/(-18))? 18 Suppose 0 = -a + 4*a + 54. Let n be ((-9)/a)/((-2)/(-4)). What is the common denominator of -27 and (-44)/64*10/n? 8 What is the least common multiple of -4 + 7 - (-4 + 0) and 2? 14 What is the common denominator of 101/4 and ((-2)/(-12))/((5/(-128))/5)? 12 Suppose 0 + 7 = b. Let d = 0 - -2. Suppose -d*f + i + 15 = 0, -5*i + 16 = f + 2*f. What is the least common multiple of f and b? 7 Let b(s) = s**2 + 3*s. What is the least common multiple of b(3) and 16? 144 Let d be 2 - -3 - (-9)/(-3). Suppose 4 - 1 = 3*a. Suppose -a = -k + d. Calculate the least common multiple of k and 1. 3 Let y(m) = -2*m + 24. Suppose 42 = -2*g + 5*g. What is the least common multiple of g and y(11)? 14 Let l(c) = c**2 - 7*c - 1. Let o be l(7). Let h = -2726 + 10825/4. Calculate the common denominator of h and (3/(-18))/(o/20). 12 Suppose 3*i + 0*i = 33. Suppose 0 = 5*v - l - 4 - i, -2*v + 3*l + 19 = 0. Calculate the lowest common multiple of 1 and v. 2 Let z(u) = 8*u**3 - u**2 - 3*u + 3. Let g be z(2). Calculate the common denominator of 23/2 and g/(-8) - (-3)/(-1). 8 Suppose 2*y + 599 = 87. Let q = -1196 - y. Calculate the common denominator of -91/6 and ((-2)/10)/((-72)/q). 18 Let z(d) = -9*d + d**2 - 3*d**2 + 8 + d**2. Calculate the least common multiple of 20 and z(-7). 220 What is the common denominator of -33/4 and 13 - 16 - -1*1/(-14)? 28 Let t be 6088/(-20)*15/(-4). Let k = -3485/3 + t. Find the common denominator of k and ((-33)/(-9))/((-7)/3). 42 Let i(m) = m**2 + 3*m + 2. Let k be i(-4). Let s(p) = -p**3 + 8*p**2 - 3*p - 6. Let h be s(k). What is the common denominator of (67/h)/(1/3) and 45/2? 16 Let n(p) = -12*p**2 + 4 + 6*p**3 - 5*p**3 - 9*p + 18*p**2. Suppose -l - 5*b + 72 = 3*l, 90 = 5*l - 4*b. What is the lowest common multiple of n(-7) and l? 18 Find the common denominator of -12 and 43/9 - (-4 + 6). 9 Let q be ((-3)/2)/(15/40). What is the common denominator of ((-8)/(-33))/((-4)/(-42)) and (34/q)/((-6)/15)? 44 Let d(t) = -t**2 - 5*t. Let n be d(-6). Let a(j) = j**2 + 5*j. Let m be a(n). Suppose m = w + 2*w. What is the smallest common multiple of 16 and w? 16 Let o = -1 - -4. Suppose 2*u = 7*w - o*w + 2, 3*u - 3 = -4*w. Suppose -3*q - 5*j + 32 = 0, 2*q + 4*j - 22 = -w*j. What is the least common multiple of 8 and q? 72 Let t(h) = 4*h**2 - 3*h - h**3 + 2*h - 5 + 4*h. Calculate the smallest common multiple of t(4) and 1. 7 Suppose 2*o - 8 = 0, -s + 0*o - 2*o + 14 = 0. What is the least common multiple of 30 and s? 30 Suppose -u - 11 = -17. Suppose 0*y + 50 = 5*y. Calculate the smallest common multiple of y and u. 30 Let s be (-2)/6 - 1/(-3). Suppose -5*b = s, 7*b + 4 = 4*p + 2*b. Calculate the common denominator of p - (222/32 - 1) and 69/14. 112 Let d be 4/(-24) - (-26)/12. Let n be 1 + 0*(-1)/d. What is the common denominator of 134/20 - -1 - n and 19/6? 30 Suppose -4*f + 7 = -3*l + 2*l, 5 = -l + 3*f. What is the lowest common multiple of l and 3? 3 Let f = 5322 - 37326/7. Let o = 583/56 + f. Find the common denominator of o and -4/9. 72 Let g = 4 + 4. Let d(s) = -s**3 + 7*s**2 + 11*s - 4. What is the least common multiple of 12 and d(g)? 60 Suppose 0 = -0*p + p + 4*i - 6, -4*p = -5*i + 39. Let c be p/10 - (-4)/(-10). Let b(m) = -2*m**3 - m - 1. What is the smallest common multiple of 14 and b(c)? 14 Let o = -8 - -9. Suppose -4*t - 15 = -t. Let v(m) = -m**3 - 4*m**2 + 4*m + 4. Calculate the lowest common multiple of v(t) and o. 9 Suppose -5*u + 63 = 13. Let q = u + -6. What is the smallest common multiple of q and 9? 36 Find the common denominator of ((-109)/24*2)/(7/(-14)) and 43/4. 12 Let i = -574741/267340 + -2/13367. Find the common denominator of i and -27/250. 500 Suppose h - 2*h + 2 = 0. Let i = -8 + h. Calculate the common denominator of 7/(-14)*94/i and -97/6. 6 Let m be 296*(0 - 5*-5). Suppose -m =
{ "pile_set_name": "DM Mathematics" }
tor of 72 and d? 24 Let j(u) be the first derivative of u**3/3 - 3*u**2 + 18*u - 22. Let z be j(7). Calculate the greatest common factor of z and 25. 25 Let a be 0 + (-48)/(2/(-2)). Suppose 5*s - 2 = -5*z + a, -6 = -z + 3*s. Suppose 9*y - 3*y = 270. What is the highest common factor of y and z? 9 Let r be (-49)/(-63) + (-2)/(-9). Suppose 28 = 5*m - 4*w, m - 3*w + 0 + r = 0. Let t be 4/6 - 4/(-3). What is the greatest common divisor of t and m? 2 Let w = -12 - -42. Let y(c) = 6*c**2 + 3*c + 5. Let f be y(7). Suppose -16 = -4*z, -2*z = 4*a + 3*z - f. What is the greatest common factor of w and a? 15 Let d be 18/8 - 25868/(-464). What is the greatest common factor of 1450 and d? 58 Suppose -3*c = -c + 170. Let i = c - -102. Calculate the highest common factor of 68 and i. 17 Suppose 3*m = 5*m - 50. Let b be (-4)/10 - (5 - 1035/m). Calculate the highest common factor of b and 90. 18 Let u = 430 - 304. Let p be 1 - (-1)/(2/26). What is the greatest common factor of u and p? 14 Suppose 4*s - 14 - 94 = 0. Calculate the highest common factor of s and 15. 3 Let d be 7/(-2)*(-4 - (-72)/(-42)). Calculate the greatest common factor of 150 and d. 10 Suppose -4*k = -7322 + 6770. What is the highest common divisor of k and 437? 23 Suppose 3*s = s - 4. Let f be (s/8)/(8/(-544)). Suppose 5*n = 2*h + 193 + 667, 0 = -n + 4*h + 190. What is the greatest common divisor of f and n? 17 Let u(o) = -47*o**3 - 2*o**2 + 8*o + 9. Let p be u(-2). Calculate the greatest common divisor of 19 and p. 19 Let v = -14 + 16. Suppose -v*j = -7*j + 20. Suppose 4*a - j*m = 75 + 65, 0 = 5*a + 2*m - 140. Calculate the greatest common divisor of 10 and a. 10 Suppose -10*z = -596 - 64. Calculate the greatest common factor of 6 and z. 6 Suppose -2*o = 35 + 29. Let f = 55 + o. Calculate the highest common divisor of f and 115. 23 Let p be (10/15)/(9/729). Calculate the greatest common divisor of p and 72. 18 Let f be 108/(-8) + 9/(-6). Let c be (-6)/f*(33 + -3). Suppose -31*a = -29*a - 60. What is the greatest common factor of a and c? 6 Let p = 869 - 778. What is the greatest common divisor of p and 286? 13 Let x(z) = z**3 - 7*z**2 - 6*z - 16. Let g be x(8). Suppose 0*k + 75 = 5*j - 2*k, 3*j + 5*k - 45 = g. Calculate the highest common factor of j and 60. 15 Suppose 6*w - w = 25. Let i = 86 - w. Calculate the greatest common divisor of i and 9. 9 Suppose q - 4*q + 84 = -d, 0 = 2*d - 6. Let y = q - -85. What is the highest common factor of 76 and y? 38 Let l be ((-70)/10)/((-9)/171). What is the greatest common divisor of l and 95? 19 Let s(i) = -i**3 + 2*i**2 - 2*i + 3. Let o be s(2). Let h be (84/(-10))/(o/5). Let c = 851 + -823. Calculate the greatest common factor of h and c. 14 Suppose 7526 = 7*r + 1639. What is the greatest common divisor of 29 and r? 29 Let c be (0 + (3 - 4))*-92. Let w = c - 74. Calculate the greatest common divisor of w and 24. 6 Let o = -215 - -285. What is the greatest common factor of 1190 and o? 70 Suppose -2*g = -0*w + 4*w - 110, 0 = 4*w + 8. Let q = g + -44. Calculate the highest common divisor of 75 and q. 15 Let r = 34 + 146. Suppose 30*f = 21*f + r. Calculate the highest common factor of f and 50. 10 Suppose 58*u + 108 = 67*u. Calculate the highest common divisor of u and 8. 4 Suppose 5*n - 35 = 2*v, -27*n = -30*n - v + 10. What is the greatest common factor of 65 and n? 5 Let o(j) = j**2 - j - 9. Suppose 2*x + 6 = -10. Let d be o(x). Calculate the greatest common factor of d and 7. 7 Let x be 15/(-2)*(-90)/27. Let k = x - 19. Calculate the highest common divisor of k and 2. 2 Suppose -4*l + 5*o + 12 = 0, -4*l - 3*o - 2*o = -52. Suppose -l = -3*t + 1. Suppose -i + t*i = 28. Calculate the highest common divisor of i and 70. 14 Suppose -88 = -3*v + 2. Suppose i - 6 = 3. Suppose 3*w - i = 27. What is the greatest common divisor of v and w? 6 Let b(a) be the third derivative of a**5/60 + a**4/12 - 15*a**2. Let g be b(-4). Calculate the greatest common divisor of 24 and g. 8 Suppose 1039 - 79 = 6*a. Suppose -9 = -k + 11. What is the greatest common factor of a and k? 20 Let b(q) = -q**3 - 1. Let r be b(2). Let w be 3/r - 42/(-18). Calculate the highest common divisor of 16 and w. 2 Suppose 2*d - 3*d - 93 = -3*u, 3*d - 124 = -4*u. What is the greatest common divisor of u and 341? 31 Let c be (12/4)/(6/4). Suppose 5*k - 85 = 2*q, -4*k = -9*k + 5*q + 85. Let v = k - c. Calculate the greatest common factor of 120 and v. 15 Let t(u) = u**3 + u**2 - u + 9. Let r be t(0). Let o be ((-79)/(-3))/(3/r). Suppose o = 3*y - 83. What is the highest common divisor of 135 and y? 27 Let x be ((-79)/(-2) - 2)*2. Let j = -523 + 538. Calculate the greatest common factor of x and j. 15 Let s(w) be the second derivative of -w - 1/2*w**2 - 1/6*w**3 + 0. Let k be s(-2). Calculate the greatest common factor of k and 11. 1 Let v be -5 - (2/(-4))/(22/924). Calculate the highest common divisor of 656 and v. 16 Let n = 257 - 193. What is the greatest common factor of 32 and n? 32 Suppose 8*l - 15 = 3*l. Suppose -b = c - 10, 4 + 2 = l*c. Suppose -20*v = -255 + 15. What is the greatest common factor of v and b? 4 Suppose -27*g + 423 - 99 = 0. Let p = -26 + 50. What is the greatest common divisor of g and p? 12 Let m(d) = -37*d**3 + 3*d**2 - 2*d - 4. Let y be m(-1). What is the greatest common divisor of y and 1178? 38 Let f(n) = -n**3 + n**2 - 3*n - 4. Let q be f(3). Let u = q + 83. Calculate the highest common divisor of 13 and u. 13 Suppose -17*p = -15*p - 28. Suppose o + o + 3*h - 29 = 0, -2*h = -2*o + p. Calculate the highest common factor of o and 30. 10 Let t = 88 + -223. Let j = t - -414. What is the greatest common divisor of 31 and j? 31 Let l be 2*-17*(-1)/2. Suppose 5*w + 3*a - 202 = 62, -249 = -5*w + 2*a. What is the greatest common divisor of w and l? 17 Let o be 15/3*-11*1. Let x be (-265)/o + 2/11. Suppose -357 = -x*j + 23. What is the highest common divisor of j and 19? 19 Let z(q) = -q + 19. Let n be z(7). Let f be 9*7/((-7)/(-12)). What is the highest common factor of n and f? 12 Suppose -k - 3*k - 36 = 0. Let c be k/((-1)/((-10)/(-3))). Suppose 0 = -10*m + 44 + 6. What is the greatest common factor of m and c? 5 Suppose -4*k + 117 = -k. Suppose 3*x + 4*h - 58 = 0, 4*x + 5*h = 44 + 35. Calculate the greatest common factor of k and x. 13 Let h(u) = -6*u**2 - 9*u - 9. Let k be h(-3). Let v = k - -68. What is the greatest common divisor of v and 8? 8 Let k(j) = 19*j + 11. Let f be k(3). Let a = 30 - 13. Calculate the greatest common factor of f and a. 17 Suppose 2*n + 165 = -9*n. Let j = -14 - n. What is the greatest common factor of j and 8? 1 Suppose 15*j + 27 = 18*j. Suppose 28 - 388 = -j*m. Let d(k) = k + 9. Let b be d(-4). Calculate the highest common factor of m and b. 5 Let q = 12 - 6. Suppose n - 23 = 19. What is the highest common divisor of n and q? 6 Suppose 10*l - 99 = 341. Calculate the highest common factor of 352 and l. 44 Suppose -2*v = -q + 2, -5*q = -v + 2*v - 21. What is the highest common factor of q and 64? 4 Let j(y) = -7*y. Let n = 11 + -13. Let o be j(n). What is the greatest common divisor of o and 56? 14 Let o(t) = -4*t - 6. Let a be o(-4). What is the greatest common factor of 230 and a? 10 Suppose 2*h = -2*h + 4*p + 408, -2 = 2*p. Suppose 19 = 6*b - h. What is the highest common factor of 100 and b? 20 Let i = -1484 - -1547. What is the highest common divisor of i and 7? 7 Let j be 6/9 - 287*4/(-6). Let u be (j/(-20))/((-2)/15). What is the highest common factor of u and 9? 9 Suppose 134 = 3*l + 2*r, -2*l - r + 101 = 13. Let m = -2 + 5. Let v be (0 - 1) + m + 26. What is the highest common divisor of v and l? 14 Let y = 8 + -10. Let p be (2 + -3*4)/y. Let r(s) = -s**3 - 9*s**2 + 9*s - 5. Let u be r(-10). What is the greatest common divisor of u and p? 5 Let d be (-3)/(3*5/(-235)). Let w = d + -45. What is the greatest common divisor of w and 14? 2 Let m(g) = 3*g + 2. Let t be m(6). Suppose j + 2*b - 3*b - 22 = 0, 92 = 5*j + 4*b. What is the highest common factor of t and j? 20 Let b(s) = -3*s - 1. Let m be (-2)/(-4)*-1*4. Let g be b(m). Let o = 283 - 268. Calculate the highest common divisor of g and o. 5 Let r = 662 - 644. What is the greatest common factor of 396 and r? 18 Suppose 4002*h - 4015*h + 26 = 0. Let k be 8/(-6)*(-12)/1. Calculate
{ "pile_set_name": "DM Mathematics" }
9. Let 1/9*j**3 - d*j**2 - 11/9 + 23/9*j = 0. What is j? 1, 11 Let o(b) = -3*b**2 + b - 2. Let m(s) = 11*s**2 - 4*s + 6. Suppose 4*t - 34 = 2*f, 9 + 6 = 3*t. Let q(c) = f*o(c) - 2*m(c). Let q(i) = 0. What is i? -1, 2 Let q(i) be the first derivative of -i**6/42 + 3*i**5/35 + 81*i**4/28 + 11*i**3/3 - 1391. Let q(l) = 0. What is l? -7, -1, 0, 11 Let x(j) be the first derivative of 5/4*j**4 + 5/6*j**6 - 44 - 5*j**3 + 0*j - 5*j**2 + 3*j**5. Suppose x(d) = 0. What is d? -2, -1, 0, 1 Let y(h) be the second derivative of 204*h + 9/4*h**4 + 0*h**2 - 21/20*h**5 - h**3 + 0. Determine u, given that y(u) = 0. 0, 2/7, 1 Suppose 16*x - 56 = 14*x. Let y be (24/x)/(3/28*2). Determine p, given that 8*p + 81*p**3 - 23*p**2 - 15*p**2 - 20*p**y + 2*p**2 - 33*p**3 = 0. 0, 2/5, 1 Let f(o) be the first derivative of -2*o**3/3 - 846*o**2 - 357858*o + 1601. Determine l, given that f(l) = 0. -423 Let k(a) be the first derivative of -2*a**3/3 + 778*a**2 - 302642*a - 2373. Factor k(z). -2*(z - 389)**2 Let n(f) = -3*f**2 - 68*f + 25. Let x be n(-23). Find c, given that 95*c - 45 - 34*c**2 - 34*c**x + 85*c**2 + 5*c**3 - 72*c**2 = 0. 1, 9 Suppose 6*d - 2010 = -7542. Let r = d + 922. Let r - 1/6*q + 0*q**3 + 1/3*q**2 - 1/3*q**4 + 1/6*q**5 = 0. What is q? -1, 0, 1 Let s(d) be the third derivative of d**6/120 - 3*d**5/20 - 77*d**4/12 - 24*d**3 + 7*d**2 - 13. Factor s(r). (r - 18)*(r + 1)*(r + 8) Factor -528858*r**2 - 2*r**3 + 529504*r**2 + r**3 - r**3. -2*r**2*(r - 323) Let x = 20231/220 + -1011/11. Let p(r) be the first derivative of -3/10*r**2 - x*r**4 + 1/5*r + 1/5*r**3 + 11. Determine n so that p(n) = 0. 1 Let h(r) be the third derivative of 1/8*r**6 - 87/20*r**5 - 129*r**2 - 7*r**4 + 18*r**3 + 0*r + 0. Factor h(u). 3*(u - 18)*(u + 1)*(5*u - 2) Let t(r) be the third derivative of -r**7/135 - r**6/45 + 5*r**5/54 - r**4/18 + 692*r**2. Determine g, given that t(g) = 0. -3, 0, 2/7, 1 Find c such that 2/9*c**2 - 740/9 - 46/3*c = 0. -5, 74 Let l(o) = -751*o - 8255. Let v be l(-11). Let d(c) be the second derivative of 31*c + 0 + 3/5*c**2 - 1/75*c**v + 1/5*c**4 + 0*c**5 - 8/15*c**3. Factor d(p). -2*(p - 1)**3*(p + 3)/5 Let s(j) be the first derivative of -3/7*j**3 + 0*j**2 - 3/35*j**5 + 0*j + 41 - 3/7*j**4. Factor s(i). -3*i**2*(i + 1)*(i + 3)/7 Let q(m) = -2*m**2 + 4*m - 4. Let o(y) = -1. Let b(v) = 2*o(v) - q(v). What is n in b(n) = 0? 1 Let l(j) be the first derivative of 0*j**3 + 48 + 0*j**2 + 0*j - 1/15*j**6 + 8/25*j**5 - 3/10*j**4. Factor l(x). -2*x**3*(x - 3)*(x - 1)/5 Find t, given that 512/3*t + 16*t**3 - 108*t**2 - 2/3*t**4 - 78 = 0. 1, 9, 13 Suppose -12*v + 1/4*v**5 + 8*v**3 + 11/4*v**4 + v**2 + 0 = 0. What is v? -6, -4, -2, 0, 1 Let -298*q**3 - 409/2*q**2 - 5/4*q**5 - 117*q**4 + 93/4*q + 91/2 = 0. Calculate q. -91, -1, 2/5 Solve 4*o**2 - 558 - 80688*o + 356 + 81580*o - 694 = 0 for o. -224, 1 Let n(g) be the first derivative of 6*g**2 - 7/2*g**3 + 9/10*g**5 - 51/8*g**4 + 53 + 9/4*g**6 + 6*g. What is b in n(b) = 0? -1, -2/3, 1 Let f(k) = -k**3 + k**2 - 16*k + 1. Let m(g) = 122*g**3 - 27633*g**2 + 10052*g - 913. Let u(y) = 2*f(y) + 2*m(y). Determine t, given that u(t) = 0. 2/11, 228 Let d(a) = a**2 - a + 1. Let v(w) be the third derivative of 7*w**5/30 + 17*w**4/12 - 2*w**3/3 + 3*w**2 + 8*w. Let p(l) = 8*d(l) + v(l). Factor p(m). 2*(m + 1)*(11*m + 2) Let d = -7474 + 7476. Let z(y) be the first derivative of 2/3*y**3 + 1/2*y**4 + 0*y - 41 - d*y**2. Factor z(m). 2*m*(m - 1)*(m + 2) Let n = 18 + -28. Let x = n - -15. Factor 15*k**4 + 0*k + 6*k**x + 15*k**3 - k**5 + 5*k**2 + 0*k. 5*k**2*(k + 1)**3 Let m be 9/(-21) + 5*(-191)/(-7). Suppose -14*y + 10*y + m = 0. Factor y*h + 40 - 22*h - 15*h**3 - 35*h**2 + 98*h. -5*(h - 2)*(h + 4)*(3*h + 1) Suppose -i - 7*y + 124 = -9*y, 254 = 2*i + 2*y. Let l = i + -124. Determine r, given that -4/7*r**3 + 10/7*r**l - 8/7*r + 2/7 = 0. 1/2, 1 Suppose 20 = 5*z - 2*f, -3*z + 2*f = -6 - 6. Let q be 4*(1/(-1))/(4/(-2)). Solve -6*i**4 - 5*i**3 + 2*i**q - 12*i**4 - 7*i**4 + 18*i**z = 0 for i. -1, 0, 2/7 Let r(y) be the second derivative of 3*y**5/10 - 13*y**4/3 - 236*y**3/3 + 168*y**2 + 867*y. Find p, given that r(p) = 0. -6, 2/3, 14 Let t(b) be the first derivative of b**7/2100 - b**6/225 - b**5/100 + 3*b**4/10 + b**3 - b + 50. Let f(l) be the third derivative of t(l). Solve f(z) = 0 for z. -2, 3 Let q(p) be the third derivative of -p**5/20 + 39*p**4/2 + 158*p**3 - 3172*p**2. Solve q(v) = 0. -2, 158 Let u = 24217/210 - 807/7. Let h(x) be the third derivative of 0*x + 0*x**3 - 5*x**2 - u*x**6 + 1/15*x**5 + 0 + 0*x**4. Factor h(o). -4*o**2*(o - 1) Let d be 26/((-2964)/4978) + 46. Determine w, given that -d*w**2 - 40/3 + 142/3*w = 0. 2/7, 20 Let b(u) = 2*u**3 + 15*u**2 + 16*u - 120. Let n(q) = q**2. Let o(m) = -b(m) - 3*n(m). Solve o(d) = 0. -6, -5, 2 Let r = 26 - -42. Let b = r - 65. Solve b*i + 112*i**4 - 7*i + 62*i**2 - 114*i**3 - 38*i**5 - 24*i**2 + 6*i**5 = 0. 0, 1/4, 1, 2 Suppose -14/9*c**3 + 2/9*c**5 + 0 - 16/9*c**4 - 32/3*c + 124/9*c**2 = 0. Calculate c. -3, 0, 1, 2, 8 Let h(v) = v**2 - 16*v + 7. Let u be h(18). Let i = u + -32. Let 6*t**2 + 6*t**2 + 3 - i*t**2 - 2*t**2 + 2*t = 0. Calculate t. -1, 3 Let b(r) = -r**3 - 349*r**2 - 562*r + 45807. Let v be b(-347). Find a, given that 28/9*a**2 + 0 - 10/3*a**v + 2/9*a**4 + 0*a = 0. 0, 1, 14 Let v = -123970 + 123972. Determine o, given that 2/11 - 6/11*o - 2/11*o**3 + 6/11*o**v = 0. 1 Let y(f) be the second derivative of f**7/14 + 3*f**6/2 + 39*f**5/10 - f**4/2 - 27*f**3/2 - 39*f**2/2 + f - 480. Factor y(r). 3*(r - 1)*(r + 1)**3*(r + 13) Let u be 2 + 2 + -1 + -1. Suppose 0 = -3*b + m - u, -2*m + 4 = 4*b. Find s, given that -72*s - 9*s**2 - s**2 + 6*s**2 - 324 + b*s**2 = 0. -9 Let q(p) be the first derivative of p**5/10 - 27*p**4/4 + 781*p**3/6 - 351*p**2 + 338*p - 518. Factor q(x). (x - 26)**2*(x - 1)**2/2 Find s such that 36/7*s + 22 + 2/7*s**2 = 0. -11, -7 Let w(i) = 224*i**2 - 694*i. Let c(d) = 37*d**2 - d. Let h(b) = -6*c(b) + w(b). What is a in h(a) = 0? 0, 344 Let r(i) be the third derivative of 0 + 66*i**2 + 0*i + 13/15*i**5 - 28/3*i**4 + 1/6*i**6 + 40/3*i**3. Let r(y) = 0. Calculate y. -5, 2/5, 2 Let z be 2 + (-7)/(-3) - 4/24*-4. Let m(r) be the third derivative of -1/60*r**z + 1/3*r**3 + 0*r + 1/24*r**4 - 23*r**2 + 0. Let m(w) = 0. What is w? -1, 2 Let r(s) be the second derivative of s**5/20 - 49*s**4/12 - 3493*s. Factor r(z). z**2*(z - 49) Let a(q) be the first derivative of -1/8*q**4 + 1/3*q - 1/30*q**5 - 10 + 1/4*q**2 - 1/18*q**3. Factor a(n). -(n - 1)*(n + 1)**2*(n + 2)/6 Let b(p) be the third derivative of -p**9/5040 + p**7/210 - p**4/12 + 4*p**3 - 55*p**2. Let z(v) be the second derivative of b(v). Factor z(o). -3*o**2*(o - 2)*(o + 2) Let m be (-1)/(-2)*(-6 - (5 - 11)). Let j be (7 - 15 - (-2 - m))/(-2). Solve 4 + 8*h + h**j + 0 - 6*h**3 + 2*h**3 + h**2 = 0. -1, -2/3, 2 Let i(t) be the third derivative of -t**8/420 + 2*t**7/21 - 63*t**6/50 + 407*t**5/75 - 121*t**4/15 + 542*t**2 - t - 3. Find b, given that i(b) = 0. 0, 1, 2, 11 Let d(z) = 4*z**2 - 256*z - 6734. Let f(c) = 2*c**2 - 248*c - 6732. Let t(k) = -2*d(k) + 3*f(k). Solve t(o) = 0. -58 Let 0 + 7/3*w**5 - 76/3*w**2 - 163/3*w**3 - 44/3*w**4 + 12*w = 0. What is w? -2, -1, 0, 2/7, 9 Let n be 1 - (65/(-5) - -4). Suppose -2*f = -12 + n. Factor g**2 + 28*g**3 + f + 3*g - 3 + g**4 - 31*g**3. (g - 2)*(g - 1)**2*(g + 1) Let c(a) be the third derivative of -a**6/180 + 11*a**5/6 + 38*a**4 + 2768*a**3/9 + 1250*a**2 - 1. Let c(l) = 0. What is l? -4, 173 Let s(h) be the third derivative of 0*h**3 + 0*h + 1/420*h**5 + 0*h**4 + 0 - 21*h**2. Factor s(u). u**2/7 Suppose 18 = 3*a + 3*o, -o = 2*a + 3 - 12. Factor -1/4 - 1/4*d**4 + 0*d**a + 0*d + 1/2*d**2. -(d - 1)**2*(d + 1)**2/4 Let a(k) = 159*k**2 - 24528*k - 94923. Let z(x) = -5*x**2 + 791*x + 3062. Let r(w) = -2*a(w) - 63*z(w). Factor r(g). -3*(g + 4)*(g + 255) Let h be 304/20 + -15 + 77/(-990)*-6. Solve 2/3*i**4 - 8/3*i**3 - h*i**2 + 0 + 8/3*i = 0. -1, 0, 1, 4 Let u = -1090352/3 - -363451. Determine q so that -u*q**2 - 2*q + 7/3 = 0. -7, 1 Let q(f) be the third derivative of f**7/7560 - f**6/135 - f**4/8 + f**3/6 + 8*f**2 + 2. Let n(l) be the second derivative of q(l). Factor n(g). g*(g - 16)/3 Factor -51*t**5 + 55*t**5 - 66564 + 787*t**4 + 63480*t**3 - 196600*t**2 + 233*t**4 + 198660*t.
{ "pile_set_name": "DM Mathematics" }
b - 33 = u. Let k(q) = 2*q + 12. Determine k(u). -4 Let x(y) = -y**3 - 7*y**2 - 6*y + 4. Let w be x(-6). Let i(z) = -z + 5. What is i(w)? 1 Suppose 0 = b + 2*b - 3*c + 15, 0 = 4*b + 3*c - 15. Suppose b = -5*m - v + 9, -m + 6*m + 5*v - 5 = 0. Let a(n) = 3*n**3 - 3*n**2 + n - 2. Determine a(m). 12 Let q(t) = 2 + 6*t + 6 - 2*t - 2*t. Let d be q(-6). Let i(w) = -2*w - 3. Give i(d). 5 Let i = 98 + -100. Let t(w) = 3*w**3 - 3*w**2 - w - 2. Let o(u) = -u**3 + u**2 + 1. Let n = 0 - 2. Let l(z) = n*o(z) - t(z). Determine l(i). 10 Let j = -26 + 12. Let n be (-2)/(-3) + j/(-6). Suppose 0 = g - 1 + 3, -9 = -n*z + 3*g. Let a(y) = 8*y - 1. Calculate a(z). 7 Let w(r) = r**2 - 8*r + 7. Let x be w(7). Let z(k) = k - k + x - 5 - 2*k. Let l be z(-4). Let h(v) = 2*v - 3. Determine h(l). 3 Let c be (-4 + 1)/(10/(-10)). Let q(x) be the third derivative of -5/24*x**4 - 2*x**2 + 2/3*x**3 - 1/120*x**6 + 0 + 1/15*x**5 + 0*x. What is q(c)? -2 Suppose r + 25 = 4*p, -3*p + 3*r + 21 = -0*p. Suppose 8*s = p*s - 8. Let n(m) = m**3 + 4*m**2 - 5. Calculate n(s). -5 Suppose -5*n + n + 16 = 0. Suppose -5*g + g - n = 0. Let b(l) be the second derivative of 2*l**5/5 - l**4/12 - l**3/3 - l**2/2 + 4*l + 2. Calculate b(g). -8 Let u(o) = -5*o + 3. Let z(f) = f. Let t(j) = u(j) + 3*z(j). What is t(2)? -1 Let u(y) be the first derivative of y + 0*y**2 + 7 + 1/4*y**4 + 1/3*y**3. Give u(0). 1 Let u(h) = -h**3 + 11*h**2 + 3. Let o be u(11). Suppose 2*t = -o*t. Let d(v) = -v**2 + v + 5. What is d(t)? 5 Let b(j) = j**2 + 4*j + 1. Let c = -24 + 20. Give b(c). 1 Suppose 0 = -5*c - 20, 2*h + c - 24 = 5*c. Let f(g) = g + 2 + 0*g**3 - 4*g**2 - 1 - 2*g**3 + 3*g**3. Determine f(h). 5 Let k(v) = -10*v**2 + 1. Let y(u) be the first derivative of -u**2/2 - 2. Let x be y(-2). Suppose 3*q + q + 4*r - 12 = 0, x*q - 12 = -5*r. What is k(q)? -9 Let w(z) = z + 2. Suppose 0 = -t + 4*p - 14, 4*t + 0*t - 9 = 3*p. What is w(t)? 8 Let m(x) = -x**3 + 5*x**2 + 6*x + 1. Suppose 0*b = b - 6. What is m(b)? 1 Let k(m) be the first derivative of m**4/4 + m**3 + 2*m**2 + 2. Let t(p) = -p - 1. Let f be t(2). Determine k(f). -12 Let w(g) = 6*g**2 + g. Let c be w(1). Let d(n) = -n**3 - 63 + c*n**2 + 63 - 5*n. Give d(6). 6 Let m(p) = 10*p**3 - 8*p**3 - 2*p - 1 - p**2 + 0*p**3. Let r be m(-1). Let g(c) = -c - 2 - 2 + 1. Calculate g(r). -1 Let r(u) = -u**2 - 4*u + 3. Let i(g) = -g**3 - 7*g**2 - 7*g - 9. Let y be 6/((-2)/(1 + 1)). Let c be i(y). What is r(c)? 6 Let r be (-8 - 0) + (16 - 15). Let w(v) = v**3 + 8*v**2 + 6*v - 5. Calculate w(r). 2 Let u be ((-15)/(-6))/(1/2). Suppose -5*d + 4*g = 0, u*g - 32 = -3*d + g. Let b(n) = 6*n + 2. Let t(w) = w. Let r(c) = -b(c) + 8*t(c). Give r(d). 6 Let n(l) = -l**3 + 5*l**2 + 1. Let s(i) = 4*i**3 - 20*i**2 - i - 4. Let u(j) = -9*n(j) - 2*s(j). Let m = -21 - -40. Suppose -m = -3*a - 7. Determine u(a). -9 Suppose -c = 2*c - 6. Suppose 3*q - 4*q + c = 0. Let j(v) = 1 - 4*v**2 + 2 - 3*v + 6*v**2. Give j(q). 5 Suppose 0 = -0*u + 3*u + 24. Let j = 11 + u. Let t(o) = 0 + j - 4 + 2*o**2. Determine t(1). 1 Let z(w) = -2*w - 146*w**2 + 147*w**2 - 8*w + 6 + 2. What is z(8)? -8 Let d(x) = x**2 - 6*x - 2. Let c be 1/((-2)/((-10)/1)). What is d(c)? -7 Suppose -4*o - 2*u = -0 - 20, -3*o + 17 = u. Let a = o + -2. Let f(i) = i**2 - 7*i + 4. Give f(a). -6 Let l(t) = 2*t - 13. Let v be l(7). Let z(p) = 4 + 2*p**2 + 4*p**3 - 2*p**3 - p**3 + p - v. Suppose 12 = -4*a - 0*a. Give z(a). -9 Let g(d) = -d**3 - 6*d**2 - 7*d + 4. Let s(t) = -2*t**3 - 11*t**2 - 14*t + 9. Let z(l) = 5*g(l) - 2*s(l). Determine z(-7). 2 Let q(d) = d**3 - d**2 + 1. Suppose 4*n + 20 = 0, 2*k - n = -4*n - 9. Suppose z = -k*z. Let v = z - 0. Calculate q(v). 1 Suppose -5 = 3*y - 11. Let m(s) = -3 + 2 - y*s + 2*s**3 + 2. Determine m(2). 13 Let v = -7 + 12. Suppose 3*i + 6 = 3*k - 9, i + v*k = 25. Let y(l) be the first derivative of l**3/3 + l**2/2 + 3*l - 7. Calculate y(i). 3 Let m(x) = -x - 7. Let b be m(-5). Let q(p) = 3*p**2 + 2*p - 2. What is q(b)? 6 Let o(l) be the second derivative of -5*l**3/6 - l**2 - 3*l. Give o(-4). 18 Let i(c) = -c**3 - 6*c**2 - c - 6. Let p be i(-6). Let f(h) = -h**3 + h**2 + h + 3. Determine f(p). 3 Let m(l) = -l - 12 + 22 - 9. Suppose 0 = 5*c + r - 21, 9*c - 15 = 4*c + 5*r. Give m(c). -3 Let x = -14 + 19. Let k(b) = b - 5. Determine k(x). 0 Let d(a) = 0 - a + a**2 + 10 - 2 + 13*a. Calculate d(-11). -3 Suppose -3*u + 11 + 109 = 0. Let o(d) = u*d**2 + 3*d - 4 - 39*d**2 - 4. Determine o(-6). 10 Let q(r) = -2*r + 0*r + 5*r. Determine q(-2). -6 Let n(t) = -15*t**2 + t**3 - 18*t**2 + 28*t**2 - t + 4. Let o = 14 + -9. What is n(o)? -1 Let i(g) = -6*g + 1. Let w(q) = 1. Let s(p) = 6*p - 7. Let r(o) = s(o) + 6*w(o). Let n(u) = 2*i(u) + 3*r(u). Calculate n(1). 5 Let q(x) be the second derivative of 7*x**6/720 + x**5/120 - x**4/4 - x. Let w(m) be the third derivative of q(m). Determine w(1). 8 Let l(g) = g - 1. Let p be l(2). Let o(z) = -75*z**2 + 34*z**2 + 34*z**2 + z. Calculate o(p). -6 Let g(b) = b**2 - b + 2. Let c be g(2). Let h(t) = -t + 2. Calculate h(c). -2 Let f(v) = v**2 - 3*v - 5. Let m(s) = 2*s**2 - 5*s - 10. Let p(a) = 11*f(a) - 6*m(a). Give p(-5). -5 Suppose r - 4 = 0, -28 = -x - 4*x + 3*r. Suppose 0 = -4*c - 2*m - 0*m + x, 0 = m. Let q(n) = 18 - n**3 + 2*n**2 - n**2 - 2*n - 15. What is q(c)? -5 Let m be ((-4)/16)/((-12)/16). Let l(i) be the first derivative of 1/4*i**4 + 3/2*i**2 + m*i**3 + 3*i + 1. Determine l(-2). -7 Let k(q) = q**3 - 6*q**2 + 4*q + 3. Let m = 41 - 36. Determine k(m). -2 Let v = -38 + 38. Let c(b) be the third derivative of 1/6*b**5 + 1/24*b**4 + v*b + 1/6*b**3 + 0 - b**2. Give c(-1). 10 Let g(f) be the second derivative of -f**3/6 + f**2/2 - f. Suppose 2 = 2*k - 4*a + 16, -2*a = -2*k - 6. Suppose n - 3 + k = 0. Determine g(n). -1 Let w(z) = z**2 + 8*z + 8. Suppose -3*y + 14 = -5*y. Give w(y). 1 Suppose 2*z = 3*z - 15. Let b = z - 13. Let t(o) = 1 - o**2 + o**3 + 1 - 2*o + o. What is t(b)? 4 Let g(f) = 5*f + 1. Suppose -2*y - 20 = -2*t, 4*y + 4*t = -2 - 30. Let p(m) = -6 - m + 0 - 5. Let w be p(y). What is g(w)? -9 Let h(c) = -4*c + 2 + 3*c - 6 + 2. Give h(-3). 1 Let p(c) = -4 + 6*c**2 + 6*c**2 - 5*c**2 + 4*c + 0*c**2 + c**3. Give p(-6). 8 Let o(y) = -2*y**3 - 11*y**2 + 7*y - 11. Let w(b) = b**3 + 6*b**2 - 4*b + 6. Let d(n) = 4*o(n) + 7*w(n). Give d(-3). 7 Suppose 5*k - 12 = 8*k. Let r(i) = -4*i. Let v(p) = -p. Let g(l) = r(l) - 3*v(l). Determine g(k). 4 Let m = -22 - -23. Let u(d) = 13*d. Give u(m). 13 Let h(u) = -2*u**2 + 4*u + 6. Let o(m) = -m**2 + m + 2. Let f(i) = 3*h(i) - 8*o(i). Determine f(-2). 2 Let b(a) = a**3 + 6*a**2 + 13*a - 10. Let s(u) = -3*u**3 - 18*u**2 - 37*u + 29. Let r(c) = -17*b(c) - 6*s(c). What is r(-6)? -10 Let x(z) be the second derivative of 3*z - 1/2*z**3 + 0 + 3/2*z**2. Determine x(3). -6 Let d(b) be the first derivative of b**2/2 - 4*b + 10. Let t be 7 - (3 + 8/(-4)). What is d(t)? 2 Let x(k) = 3*k**2 - 6*k. Let w(r) = -7*r**2 + 12*r + 1. Suppose 0 = -5*n + 20, 0*n - 35 = 3*v - 2*n. Let s(a) = v*x(a) - 4*w(a). Give s(-5). -9 Suppose 8 + 8 = 4*c. Let j(w) = -w + 1. Calculate j(c). -3 Let x(q) = -2*q**3 + q**2 + q. Suppose 40 = -5*p + 30. What is x(p)? 18 Let b(k) be the second derivative of k**5/20 - 5*k**4/12 + k**3/2 - 3*k**2/2 - 20*k. Determine b(3). -12 Suppose 4 - 14 = -5*m. Let s(f) = 0*f - 1 + f**m + 3*f + 0*f**2 - 2*f**2. Let z(q) = -q - 3. Let p be z(-6). What is s(p)? -1 Let j(y) be the second derivative of -y**5/20 + y**4/2 + 4*y**3/3 - y**2/2 + 3*y. What is j(7)? 6 Let k(a) = 5*a**2 + 6. Let n(s) = -s**2 - s - 1. Suppose 4*m + 1 = -y + 22, -m = y - 6. Let w(h) = y*k(h) + 6*n(h). Calculate w(-6). 0 Let x(t) = -2*t**3 - 13*t**2 + 13*t - 10. Let y(s) = s**3 + 6*s**2 - 6*s + 5. Let z(q) = -6*x(q) - 13*y(q). Suppose -v - 4*n = -n, 0 = 4*v + n. What is z(v)? -5 Let w = -204 - -194. Let s(i) = -i**2 - 11*i - 15. Determine s(w). -5 Let i = 12 - 12. Suppose 6*l - 8*l - 12 = i. Let u(o) = o**2 + 5*o - 6. What is u(l)? 0 Let h(v) = v**3 + 2*v**2 - v + 3. Suppose 3*n - 2 = 4. Let b = -5 + n. What is h(b)? -3 Let b(q) be the first derivative of -1/3*q**3 + 5/2*q**2 + 1 + 0*q. What is b(4)? 4 Suppose y + 4 = 4*t + 2, 0 = -4*y - t + 9. Let l(s) = -4*s**3 + 4*s**3 - s**y + s + s**3 + 2. What is l(0)? 2 Suppose 0 = 2*s + 2*s + 4. Let i(o) = -15*o**3 - o. Give
{ "pile_set_name": "DM Mathematics" }
23 - 5)/((3 + 2)/(-1)). 0 What is the value of (35/(-15) - -5) + (-47)/3? -13 Calculate 26/30 + -1 - 96/(-270). 2/9 What is -1*(-39)/(-14) - (-30 + 9 + 18)? 3/14 What is the value of (-52)/(-169)*390/(-12)? -10 What is (-206568)/14798 - (2*-9 + 4)? 2/49 What is the value of 15/(195/221) + -5? 12 Evaluate ((-3726)/729)/((-4)/18 + 0). 23 Calculate 23 + 78/(-6) + (41 - 45). 6 9/(-45)*-15*(92/30 + -4) -14/5 What is the value of (0 - 6)/((-84)/(-4 + -24))? -2 Calculate 7*((-4)/(-78))/(1876/134). 1/39 238/147 + (-10)/(-14) + -1 4/3 Evaluate (-42)/(-196)*(-2)/3. -1/7 (36/(-4) + 41)*(-1)/1 -32 ((-26)/8 - 0)/(54/216) -13 -2 + -1 - (7 - -12 - 23) 1 Evaluate (0 - -1)/((-18)/285 - (-4)/(-20)). -19/5 What is ((-2)/(-91))/((-68)/476)? -2/13 Evaluate 21*(-102)/(-595) + -4. -2/5 -91*25/(-325) + (-13 - -3) -3 What is the value of (564/75)/(-2) + (-27 + 29 - -2)? 6/25 What is the value of (8 + (-121)/22)*(-52)/(-10)? 13 Evaluate -2*9/24 + (-3 - (-1890)/440). 6/11 What is the value of (1 + -9 + 10)/(-9)? -2/9 What is the value of (1*(-6)/(-15))/(((-21)/(-20))/(-21))? -8 Evaluate ((-1424)/96 - 1/(-3)) + (-54)/(-36). -13 Calculate 4/((-208)/12) - 684/585. -7/5 What is 2 + -12 + (-231)/63*-3? 1 What is (-7 - (-140)/16)*(-324)/(-42) + -12? 3/2 What is the value of (-418)/33 - 10/(-15) - (-1 + -4)? -7 What is the value of 40/(-260) - 2/4*48/(-156)? 0 Calculate (63/45)/(2 + (-21)/5 + 2). -7 Calculate (458/(-1374))/((-38)/(-12)). -2/19 Evaluate 1/(-2)*(-390)/(-429)*33. -15 Calculate ((240/(-16))/1 - 29)*1/(-20). 11/5 (-13 - 0 - (-3300)/374) + 4 -3/17 What is (3/(-22))/((170/4)/17 + -4)? 1/11 Evaluate ((-18)/(-12) + 4/(-6))*(23 - 29). -5 4/22 - (5110/(-3234) + (-5)/(-15)) 10/7 4/(-74) - (-58596)/(-8436) -7 Evaluate (0/(-7 + 15 + -4))/(12/(-12)). 0 What is the value of (-89)/(-3560)*16/(-6)? -1/15 Calculate 74/(-9) - (36 + -44). -2/9 (-9 + (14/18)/(4/36))/2 -1 What is (576/225)/8*(-10)/(-4)? 4/5 What is the value of ((-4)/2)/((624/(-15))/(-13) - 3)? -10 6534/(-176) + 18 + 19 -1/8 What is the value of 84/(-16)*((-1440)/(-54))/10? -14 5 + (1816/112 + -18)*(-24)/(-10) 5/7 What is the value of (-2 - 3 - 3)/(1/(-2))? 16 What is the value of 5/(-25)*(-132 - -37)? 19 (-2 - -1)/(2*(148/8 - 18)) -1 What is 16/(-28) + -3*(-888)/252? 10 What is (-5 - 6) + 2565/228? 1/4 Calculate 102*(549/(-180) + 3) + 5. -1/10 What is the value of 660/(-130) + (-168)/182? -6 Evaluate (-4)/(4/(-5))*-36*52/1170. -8 What is the value of (((-75)/350)/(4/42))/((-1)/(-4))? -9 Calculate 32/(-2)*(9 + 266/(-28)). 8 What is (13/(-2) + -1)*(-78 - -76)? 15 What is -40 - -14 - 1*(-21 - -7)? -12 (-2)/(-12)*(16 + (-1003)/34) -9/4 What is the value of 5 - (2/6 + 2*(-264)/(-117))? 2/13 What is the value of 18/63*3*7? 6 What is -3 - 7 - 1*322/(-35)? -4/5 Calculate (-17)/459*(2 - -1). -1/9 What is 138/12 + (221 - 237)? -9/2 (-1946)/108 - 429/(-23166) -18 What is the value of 185/(-555) - (-74)/(-4)*1/(-6)? 11/4 Calculate ((-24)/(-20))/(1 + (5 - 305/50)). -12 What is the value of 16/3 - (8/20 + 272/(-255))? 6 What is the value of (-3)/(-8) + 19530/3472? 6 What is the value of 19/(4921/(-7622)) + 30? 4/7 Calculate (-75)/24 + 97/776. -3 6/21*(-8)/(112/(-49)) 1 ((-196)/24)/7 + 867/918 -2/9 Evaluate -24 + (0 - 21 - -39). -6 What is the value of ((-342)/399)/((-2)/42*2)? 9 Evaluate -29 - (120/(-12) - 6). -13 Evaluate ((-90)/(-180))/(5 + 15/(-10)). 1/7 What is the value of (5/2)/(845/(-1690))? -5 Evaluate (12/16*18/27)/(4/(-24)). -3 What is -3*(0 - -5)/5 + (-7 - -7)? -3 What is (4/36*(-10)/15)/((-21)/(-9))? -2/63 What is the value of ((-9367)/(-17))/(-19) + 3? -26 Evaluate (((-35)/10)/(-7))/(-6*2/(-8)). 1/3 Evaluate (44/8*-2 - -14) + -6. -3 What is the value of -3 - ((-4116)/(-64))/(-21)? 1/16 (-154)/(-104) + ((-6)/(-12))/((-34)/85) 3/13 What is the value of 28 + (-48)/(-30)*-25? -12 Evaluate 0 + (-8)/(-52) - (-400)/(-3952). 1/19 What is (2 + (-110)/15)/((-306)/1377)? 24 What is 3360/5928 - (-2)/(-19)? 6/13 (504/9)/14*1/14 2/7 5/(35/(-39)) + -56 + 63 10/7 What is (-590)/(-708)*(-6)/4 + 0? -5/4 Evaluate (-12)/(-189)*(55/(-10) - -9). 2/9 -4 + -1 + (-13717)/(-2552) 3/8 (((-204)/56)/(-17))/(48/(-56)) -1/4 55/7 + (-612)/(-119) + -5 8 What is the value of (16 - 6) + (-5)/((-40)/(-82))? -1/4 (4 - 1085/279)*(-30)/4 -5/6 What is (-27 - -72)/(5/(-3))? -27 What is (20/5 - 3/12)/(4/32)? 30 What is the value of (3416/6405)/(4/(-10))? -4/3 Evaluate (-3)/18 - (28 - (-4165)/(-150)). -2/5 What is the value of ((-30)/(-28))/3*2/(-10)? -1/14 What is 305/(-61)*(-20)/(-25)? -4 (150/2250)/((-2)/(-5)) 1/6 What is the value of 41/5 + -472 + 462? -9/5 What is the value of 35/(-1) + (-371 - -387)? -19 What is -8 - (10 - (-259)/(-14))? 1/2 What is the value of ((-300)/45)/((-8)/(-32) + (-42)/72)? 20 Calculate 265/20 - (10/25 - (-85)/100). 12 0 + 0 + 15 + -12 + 4 7 Calculate (45/135)/(10/(-6)). -1/5 What is the value of 2024/680 - 158/(-6715)? 3 Calculate (-2288)/1430*60/(-104). 12/13 What is the value of 1180/(-118) - 12/(-1)? 2 Calculate (36/1530)/((-41)/(-615)). 6/17 Calculate ((-1080)/(-405))/((-6)/2 + 125/45). -12 Calculate (3/(-300)*-5)/(3/(-12)). -1/5 What is (-22)/(6 + -17)*12/15? 8/5 (-2752)/47859 + 6/(-159) -2/21 What is 19 - 19 - (265/35 + -8)? 3/7 Calculate (118/708)/(6/(-4)). -1/9 Calculate (-3)/77 - (4 + 378/(-98)). -2/11 Evaluate (21/(-35))/((-82)/2050). 15 What is the value of (-10)/(-95) - ((-2412)/(-171) - 1)? -13 What is the value of 232/145*27/18*(-70)/(-6)? 28 (-4 - (-637)/(-147))*2/10*-3 5 Evaluate 1/5*(0/(-4) + (-33)/(-11)). 3/5 What is the value of 72/20 - 1659/2765? 3 What is 2*(-7)/161 + (-1130)/230? -5 Calculate 6/(-15) + ((-612)/45*1 - 3). -17 Evaluate ((-550)/(-500))/((-2)/5) - 2/4. -13/4 What is the value of 18/2 - ((-27216)/90)/(-28)? -9/5 What is the value of (-26 - 5/((-30)/36))*-1? 20 What is (1143/(-762))/(30/8)? -2/5 Calculate 1/(-3) + 12/108 + (-23068)/2628. -9 What is the value of -6 - 12 - 10/(-24 - -14)? -17 (6 - -474)/(-40) + 8 -4 Calculate -7*1/(-1 - -2). -7 Evaluate (96/(-1408))/(18/(-12))*-6. -3/11 Calculate 10/(-34 - 6) - 74/(-8). 9 Evaluate (-16)/28 - (-1625)/(-20300)*-8. 2/29 (-31 + -37 + 64)/(-2 + 1) 4 What is (-37268)/4004 + (-4)/(-13)? -9 What is the value of ((-4)/10)/(3363/(-21830) - 2/(-37))? 4 What is the value of (-21 - 1482/(-52))*(-36)/15? -18 What is (90 - 22512/252)*(0 - -24)? 16 (-4*11/(-22) - (-2)/1)/10 2/5 What is the value of (-57)/(41040/(-96)) + 478/(-210)? -15/7 What is the value of (-6)/165 - 0 - (-3135)/(-1494350)? -1/26 (-5809)/(-20720)*50 + 2*-7 1/56 What is the value of (-2)/4 + (1*(-1)/2)/(-2)? -1/4 20/3*336/(-280) -8 Calculate (-12 + (12 - 7))/1. -7 Evaluate ((-4215)/1686)/((-75)/36 + 2). 30 (22/(-363))/(-5*(-12)/(-270)) 3/11 Calculate (-65)/897*(-138)/(-115). -2/23 Evaluate ((-18)/(-8))/(190/760). 9 Evaluate (-2070)/276*(-1 - -3). -15 22/(-4) - (-62)/124 -5 What is the value of (3 + 2)*((-414)/30 + 15)? 6 Calculate (-628)/471 - 14/(-6). 1 What is the value of (2/((-32)/12))/((-526)/104 - -5)? 13 14/(-5)*(-22950)/182070 6/17 Calculate ((-6)/(-10))/(31/465). 9 Calculate 5 + ((-435)/19 - ((-60)/(-285))/2). -18 Calculate ((-11)/(-10))/(-1) + 4680/9360. -3/5 What is ((-302)/1057)/((-10)/(-145)*2/(-14))? 29 Evaluate (-4 + -17)*(-260)/(-455). -12 What is the value of 1 + 0 + 2 + (30 - 19)? 14 Evaluate 104709/(-5010) + (-21)/(-1). 1/10 What is the value of 9779/(-6477) - (-12)/9? -3/17 -7 - (-8 - 1)*17*(-352)/(-8160) -2/5 What is 204/2205 - (4/(-10) + 200/375)? -2/49 Evaluate (-1288)/(-3780)*18 + 2/(-15). 6 Evaluate (6 - 5)/((-1)/(-30)*(-69)/(-46)). 20 Calculate (6/20*(-1826)/(-249))/((-7)/(-35)). 11 Evaluate 30/300 - (-27)/(-45). -1/2 Calculate 1/5*(798/21)/(-76). -1/10 What is the value of -1 - 14/(-2)*(-22 - 5495/(-245))? 2 Calculate (-23220)/(-34056) - -1*(-2)/4. 2/11 Evaluate ((-52)/8)/((-2067)/954). 3 -21 + (-3 - (24 + -28)) -20 What is 4110/(-345) + (-4 - (-540)/138)? -12 What is the value of ((-12)/100)/((-16)/(160/(-45)))? -2/75 13 - (-11 - -37) - -15 2 Calculate (24/16)/((-9)/4) + (-38)/6. -7 What is the value of ((-17)/(-2))/17 + (-528)/(-32)? 17 30/100 - (-1781)/130 14 What is the value of (5 - 592/132) + (-1 - 2/(-3))? 2/11 Evaluate (-28341)/(-1407) + 2 + 66/(-21). 19 Evaluate (-546)/(-65)*(17 + 663/(-34)). -21 (((-240)/36)/(50/(-36)))/((-6)/(-15)) 12 Calculate 60/(-9
{ "pile_set_name": "DM Mathematics" }
such that -95*g**3 - 3430*g**2 + 310860*g + 32760 = 0. -78, -2/19, 42 Find l such that -l**5/4 - 8089*l**4/4 - 16345831*l**3/4 + 49183181*l**2/4 + 36842876*l + 20462645 = 0. -4046, -1, 5 Determine q so that 4*q**3 - 204*q**2 - 16*q + 816 = 0. -2, 2, 51 Find f, given that -5*f**2 - 1478155*f + 2956330 = 0. -295633, 2 Factor 54*v**2/7 + 5050*v/7 + 4996/7. 2*(v + 1)*(27*v + 2498)/7 Solve -5*l**2 - 730*l + 5355 = 0 for l. -153, 7 Let -5*y**2/2 - 390*y - 18415/2 = 0. What is y? -127, -29 Factor -2*f**3/9 - 134*f**2 - 18720*f + 454272. -2*(f - 21)*(f + 312)**2/9 Let -m**2/4 + 310*m + 1241/4 = 0. What is m? -1, 1241 Suppose -3*x**2/4 + 50715*x/4 - 50709/2 = 0. Calculate x. 2, 16903 Suppose 6*q**4/17 - 80*q**3/17 + 362*q**2/17 - 648*q/17 + 360/17 = 0. What is q? 1, 3, 10/3, 6 Determine l so that 2*l**5/9 - 1036*l**4/3 + 21652*l**3/9 + 9320*l**2/9 - 19586*l/3 - 43316/9 = 0. -1, 2, 7, 1547 Factor w**3 + 3754*w**2 - w - 3754. (w - 1)*(w + 1)*(w + 3754) Suppose -n**3/3 - 499*n**2/3 - 989*n - 1479 = 0. What is n? -493, -3 Factor -5*q**3 + 13865*q**2. -5*q**2*(q - 2773) Suppose g**4/3 - 78*g**3 - 485*g**2/3 + 1026*g - 2360/3 = 0. What is g? -5, 1, 2, 236 Determine v so that 4*v**2/7 + 63716*v/7 + 2161720/7 = 0. -15895, -34 Factor -5*d**2 + 7935*d + 39800. -5*(d - 1592)*(d + 5) Factor a**4 - 333*a**3 - 8505*a**2 - 22491*a. a*(a - 357)*(a + 3)*(a + 21) Let 2*g**2/13 + 432*g/13 = 0. Calculate g. -216, 0 Determine n, given that n**3/4 + 12051*n**2 = 0. -48204, 0 Factor 3*o**3 - 67374*o**2 - 134760*o. 3*o*(o - 22460)*(o + 2) Factor k**5 - 721*k**4 + 126682*k**3 + 1179342*k**2 + 3577365*k + 3597075. (k - 365)**2*(k + 3)**3 Find d such that -2*d**3 + 980*d**2 - 157976*d + 8347248 = 0. 126, 182 Solve -2*j**5 + 328*j**4 - 316*j**3 - 1624*j**2 - 978*j = 0. -1, 0, 3, 163 Factor -2*a**2/19 - 340244*a/19 - 14470747442/19. -2*(a + 85061)**2/19 Factor 2*y**3 + 222*y**2 - 1640*y + 1416. 2*(y - 6)*(y - 1)*(y + 118) Solve x**5/3 + 3425*x**4/3 + 2937787*x**3/3 + 8782559*x**2/3 - 13688*x/3 - 11710084/3 = 0. -1711, -2, 1 Factor k**3/5 - 17*k**2/5 - 704*k/5 - 1332/5. (k - 37)*(k + 2)*(k + 18)/5 What is b in -5*b**2 - 1435*b + 1440 = 0? -288, 1 Factor p**5 + 16718*p**4 - 6*p**3 - 100300*p**2 + 133741*p - 50154. (p - 1)**3*(p + 3)*(p + 16718) Factor 4*d**4 - 49920*d**3 + 153993400*d**2 + 10963680000*d + 192940562500. 4*(d - 6275)**2*(d + 35)**2 Factor 2*w**2 - 11572*w - 174030. 2*(w - 5801)*(w + 15) Determine f, given that f**2/4 + 569*f/2 - 5202 = 0. -1156, 18 Determine f so that -2*f**2/5 - 2152*f/5 - 2568 = 0. -1070, -6 Find c such that -15*c**4 - 762*c**3 + 57543*c**2 - 123078*c + 22320 = 0. -93, 1/5, 2, 40 Suppose 21*n**3/5 - 99084*n**2/5 + 116890809*n/5 - 33389286/5 = 0. What is n? 2/7, 2359 Factor -s**2/2 - 507049*s - 257098688401/2. -(s + 507049)**2/2 Let -2*l**4/11 - 50890*l**3/11 - 152652*l**2/11 + 8*l/11 + 203536/11 = 0. Calculate l. -25442, -2, 1 Determine w, given that 13*w**3/5 + 267*w**2/5 + 387*w/5 + 133/5 = 0. -19, -1, -7/13 Find r such that r**3/4 - 51*r**2/4 - 766*r - 1479 = 0. -34, -2, 87 Solve -1503*k**3 - 9021*k**2 - 7533*k - 15 = 0 for k. -5, -1, -1/501 Factor d**5/2 + 1617*d**4/2 + 16758*d**3. d**3*(d + 21)*(d + 1596)/2 Solve 6*i**3 + 958*i**2 - 4240*i + 3936 = 0. -164, 4/3, 3 Solve -f**2/2 - 659*f/2 + 12510 = 0 for f. -695, 36 Find q such that 2*q**4 - 138*q**3 + 116*q**2 + 1344*q + 1088 = 0. -2, -1, 4, 68 Factor y**2 + 598900*y + 89670302500. (y + 299450)**2 Factor -3*y**3 - 2811*y**2 - 272685*y - 7002837. -3*(y + 53)**2*(y + 831) Let 3*u**3 - 4194*u**2 - 3*u + 4194 = 0. What is u? -1, 1, 1398 Factor 2*y**2/5 + 105532*y/5 + 1392125378/5. 2*(y + 26383)**2/5 Suppose 25*a**5/2 + 45*a**4 - 215*a**3/2 - 240*a**2 + 410*a - 120 = 0. Calculate a. -4, -3, 2/5, 1, 2 Factor 2*z**4/9 + 194704*z**3/9 - 778840*z**2/9 + 259616*z/3. 2*z*(z - 2)**2*(z + 97356)/9 What is q in q**4/5 - 19541*q**3/5 + 127471896*q**2/5 - 278812587456*q/5 + 7978837049856/5 = 0? 29, 6504 Let -4*q**3 - 12192*q**2 - 48720*q - 48704 = 0. Calculate q. -3044, -2 Factor 10*d**3 + 7475*d**2 - 3740*d. 5*d*(d + 748)*(2*d - 1) Determine u so that -2*u**4 + 1782*u**3 - 5320*u**2 - 7128*u + 21312 = 0. -2, 2, 3, 888 Factor -3*q**3 - 19134*q**2 + 1857600*q - 44748288. -3*(q - 48)**2*(q + 6474) Suppose -4*o**4 - 70952*o**3 + 212884*o**2 - 141928*o = 0. What is o? -17741, 0, 1, 2 Suppose -9*f**2 + 1716*f/5 + 82764/5 = 0. What is f? -418/15, 66 Determine w so that -2*w**4/3 + 202*w**3 + 610*w**2/3 - 202*w - 608/3 = 0. -1, 1, 304 Factor -x**2/2 - 96*x - 9135/2. -(x + 87)*(x + 105)/2 Solve -n**4 - 1041*n**3 - 15465*n**2 - 77075*n - 128250 = 0 for n. -1026, -5 Factor 4*l**4/3 - 432*l**3 + 23180*l**2/3. 4*l**2*(l - 305)*(l - 19)/3 Determine g so that -g**2/3 - 72055*g/3 + 72056/3 = 0. -72056, 1 Factor 5*b**3 + 3600*b**2 + 21445*b + 17850. 5*(b + 1)*(b + 5)*(b + 714) Factor 3*j**4 - 1500*j**3 + 20412*j**2. 3*j**2*(j - 486)*(j - 14) Factor -3*f**4 + 192*f**3 + 594*f**2 + 600*f + 201. -3*(f - 67)*(f + 1)**3 Determine z, given that -2*z**3 + 778*z**2 - 14960*z + 73800 = 0. 10, 369 Factor -n**3/3 - 28*n**2/3 - 45*n + 228. -(n - 3)*(n + 12)*(n + 19)/3 Solve 3*q**4 - 4218*q**3 + 25200*q**2 = 0 for q. 0, 6, 1400 Factor 2*i**2/13 - 2450860*i/13 + 750839342450/13. 2*(i - 612715)**2/13 What is k in 4*k**2/5 + 6184*k + 30916/5 = 0? -7729, -1 Solve -2*p**5/7 + 20*p**4/7 + 538*p**3/7 - 420*p**2 + 3600*p/7 = 0 for p. -15, 0, 2, 3, 20 Determine v, given that v**4/4 + 67*v**3/2 + 816*v**2 = 0. -102, -32, 0 Determine p, given that -5*p**4 - 140*p**3 - 675*p**2 + 3420*p = 0. -19, -12, 0, 3 Let -72*r**4/5 + 291*r**3/5 - 369*r**2/5 + 30*r = 0. What is r? 0, 1, 25/24, 2 Find t, given that -5*t**2 - 7735*t - 69210 = 0. -1538, -9 Suppose -d**3 - 1019*d**2 - 261112*d - 774192 = 0. What is d? -508, -3 Suppose 5*f**5 - 6325*f**4 - 12675*f**3 + 6325*f**2 + 12670*f = 0. Calculate f. -2, -1, 0, 1, 1267 Factor 16394*d**2/11 + 49180*d/11 - 6/11. 2*(d + 3)*(8197*d - 1)/11 Factor -4*w**3 - 3332*w**2 - 526240*w + 73636800. -4*(w - 87)*(w + 460)**2 Factor 5996*l**2 - 23944*l - 160. 4*(l - 4)*(1499*l + 10) Suppose -4*l**4 - 1156*l**3 - 6812*l**2 - 5660*l = 0. What is l? -283, -5, -1, 0 Suppose -v**4 + 25*v**3 + 250*v**2 - 2080*v + 2976 = 0. What is v? -12, 2, 4, 31 Factor -12*r**3 + 676*r**2 + 32140*r - 10788. -4*(r - 87)*(r + 31)*(3*r - 1) Factor 2*h**2 - 38924*h - 38926. 2*(h - 19463)*(h + 1) Find f, given that -72*f**5/13 + 456*f**4/13 + 1798*f**3/13 - 636*f**2/13 + 54*f/13 = 0. -3, 0, 1/6, 9 Suppose -40*a**4 + 1075*a**3 - 5265*a**2 - 27675*a - 3375 = 0. What is a? -3, -1/8, 15 Determine d so that 314*d**2/9 - 866*d/9 - 76/3 = 0. -38/157, 3 Factor -4*s**3 - 11236*s**2 + 157892*s - 553308. -4*(s - 7)**2*(s + 2823) Suppose -2*n**2/19 - 42588*n/19 - 226717218/19 = 0. What is n? -10647 Determine h, given that 3*h**3 + 936*h**2 + 22815*h - 8897850 = 0. -195, 78 Factor -3*l**2 + 204789*l + 204792. -3*(l - 68264)*(l + 1) What is l in 3*l**5 + 4677*l**4 + 217287*l**3 - 448617*l**2 + 226650*l = 0? -1511, -50, 0, 1 Let 5*a**4 + 1295*a**3 + 97060*a**2 + 1672060*a + 4177200 = 0. What is a? -118, -20, -3 Find c such that -c**3/2 + 101*c**2/2 - 3335*c/2 + 36163/2 = 0. 29, 43 Factor -4*l**2 - 15656*l + 31328. -4*(l - 2)*(l + 3916) Determine g so that 2*g**3/13 + 5990*g**2/13 + 5048*g - 71616/13 = 0. -2984, -12, 1 Factor z**2 - 877*z + 1750. (z - 875)*(z - 2) Find f, given that -f**4 - 173*f**3 - 2967*f**2 + 14157*f - 11016 = 0. -153, -24, 1, 3 Find w such that -3*w**5 + 1923*w**4 + 1935*w**3 - 5775*w**2 - 1932*w + 3852 = 0. -2, -1, 1, 642 Factor -6*w**3 + 542*w**2 - 2696*w - 2040. -2*(w - 85)*(w - 6)*(3*w + 2) Factor -2*g**2/11 + 56436*g/11 - 398127762/11. -2*(g - 14109)**2/11 Factor 5*c**2/2 - c/12 - 175/4. (5*c - 21)*(6*c + 25)/12 Determine y so that -y**3/4 - 25365*y**2/4 - 160833123*y/4 + 160858489/4 = 0. -12683, 1 Factor -y**4/3 - 4636*y**3/3 - 5782708*y**2/3 - 316471904*y - 13979921088. -(y + 92)**2*(y + 2226)**2/3 Suppose -12*a**4/7 - 1410123*a**3/7 - 3172734*a**2/7 - 2115147*a/7 - 352524/7 = 0. Calculate a. -117508, -1, -1/4 Factor 2*i**2/11 - 177288*i/11 + 3928879368/11. 2*(i - 44322)**2/11 Find b such that -b**3 - 253*b**2 + 20722*b + 257224 = 0. -316, -11, 74 Let 4*t**3 - 216*t**2 + 2400*t + 13312 = 0. What is t? -4, 26, 32 Determine s, given tha
{ "pile_set_name": "DM Mathematics" }
re 11:23 AM? 1:38 AM What is 211 minutes before 4:22 AM? 12:51 AM How many minutes are there between 1:07 AM and 10:27 AM? 560 What is 568 minutes before 10:20 AM? 12:52 AM How many minutes are there between 8:52 AM and 2:07 PM? 315 What is 448 minutes after 8:06 PM? 3:34 AM How many minutes are there between 1:09 PM and 3:33 PM? 144 What is 387 minutes before 10:36 AM? 4:09 AM What is 543 minutes after 8:30 AM? 5:33 PM How many minutes are there between 12:25 PM and 5:18 PM? 293 How many minutes are there between 10:45 AM and 9:08 PM? 623 What is 553 minutes after 8:21 AM? 5:34 PM How many minutes are there between 8:29 AM and 8:35 AM? 6 What is 300 minutes before 1:35 AM? 8:35 PM How many minutes are there between 11:58 AM and 4:04 PM? 246 What is 454 minutes after 1:59 AM? 9:33 AM How many minutes are there between 4:03 AM and 7:26 AM? 203 What is 611 minutes before 3:29 PM? 5:18 AM How many minutes are there between 5:14 AM and 9:57 AM? 283 How many minutes are there between 7:19 AM and 3:35 PM? 496 What is 62 minutes before 1:42 AM? 12:40 AM How many minutes are there between 3:04 AM and 1:31 PM? 627 How many minutes are there between 9:24 AM and 5:26 PM? 482 How many minutes are there between 9:17 AM and 4:18 PM? 421 How many minutes are there between 6:46 PM and 5:09 AM? 623 How many minutes are there between 5:13 AM and 3:54 PM? 641 How many minutes are there between 8:44 PM and 12:35 AM? 231 How many minutes are there between 8:26 PM and 3:16 AM? 410 How many minutes are there between 11:58 AM and 10:23 PM? 625 How many minutes are there between 3:38 PM and 4:38 PM? 60 How many minutes are there between 1:40 PM and 7:33 PM? 353 What is 538 minutes after 11:50 AM? 8:48 PM How many minutes are there between 11:51 AM and 10:58 PM? 667 How many minutes are there between 2:55 AM and 3:45 AM? 50 How many minutes are there between 7:28 PM and 5:11 AM? 583 How many minutes are there between 9:00 AM and 5:55 PM? 535 What is 468 minutes before 3:33 PM? 7:45 AM How many minutes are there between 6:02 AM and 5:32 PM? 690 What is 414 minutes after 1:06 AM? 8:00 AM What is 121 minutes before 2:18 AM? 12:17 AM How many minutes are there between 12:43 AM and 11:52 AM? 669 How many minutes are there between 1:35 AM and 10:33 AM? 538 What is 344 minutes before 3:01 AM? 9:17 PM What is 149 minutes after 4:23 AM? 6:52 AM How many minutes are there between 8:17 AM and 6:26 PM? 609 What is 682 minutes before 11:04 PM? 11:42 AM How many minutes are there between 11:55 AM and 9:28 PM? 573 What is 398 minutes before 9:25 PM? 2:47 PM What is 165 minutes before 4:52 AM? 2:07 AM What is 493 minutes before 10:52 AM? 2:39 AM What is 669 minutes after 8:02 AM? 7:11 PM What is 51 minutes after 2:47 AM? 3:38 AM What is 482 minutes after 2:39 AM? 10:41 AM How many minutes are there between 10:56 PM and 5:42 AM? 406 What is 121 minutes after 7:14 AM? 9:15 AM How many minutes are there between 11:21 AM and 12:24 PM? 63 How many minutes are there between 2:16 AM and 12:02 PM? 586 How many minutes are there between 1:37 AM and 10:50 AM? 553 What is 699 minutes after 5:18 AM? 4:57 PM What is 123 minutes after 4:42 PM? 6:45 PM How many minutes are there between 4:46 AM and 2:04 PM? 558 What is 202 minutes before 12:21 PM? 8:59 AM What is 488 minutes after 9:06 AM? 5:14 PM What is 446 minutes after 5:08 PM? 12:34 AM What is 581 minutes after 5:02 PM? 2:43 AM What is 553 minutes before 8:29 PM? 11:16 AM How many minutes are there between 2:41 PM and 8:08 PM? 327 How many minutes are there between 3:41 AM and 1:29 PM? 588 How many minutes are there between 4:56 AM and 3:07 PM? 611 What is 703 minutes after 4:53 PM? 4:36 AM How many minutes are there between 8:30 PM and 9:23 PM? 53 How many minutes are there between 2:07 AM and 2:02 PM? 715 How many minutes are there between 5:15 AM and 11:08 AM? 353 What is 211 minutes before 5:45 AM? 2:14 AM What is 323 minutes before 4:51 PM? 11:28 AM How many minutes are there between 12:35 AM and 9:09 AM? 514 What is 255 minutes before 1:49 AM? 9:34 PM How many minutes are there between 4:16 PM and 10:56 PM? 400 How many minutes are there between 3:13 AM and 2:45 PM? 692 How many minutes are there between 5:19 PM and 12:27 AM? 428 How many minutes are there between 3:22 AM and 4:12 AM? 50 What is 327 minutes after 3:21 AM? 8:48 AM What is 255 minutes before 2:00 AM? 9:45 PM How many minutes are there between 6:51 AM and 2:29 PM? 458 What is 344 minutes before 1:01 AM? 7:17 PM How many minutes are there between 2:35 AM and 11:55 AM? 560 How many minutes are there between 2:31 AM and 11:40 AM? 549 How many minutes are there between 2:31 PM and 3:19 PM? 48 How many minutes are there between 12:43 PM and 5:32 PM? 289 What is 677 minutes before 4:06 PM? 4:49 AM What is 353 minutes before 2:58 AM? 9:05 PM What is 628 minutes before 4:07 AM? 5:39 PM What is 399 minutes before 10:45 AM? 4:06 AM How many minutes are there between 7:26 AM and 6:12 PM? 646 What is 467 minutes after 12:14 AM? 8:01 AM What is 237 minutes before 2:39 PM? 10:42 AM How many minutes are there between 9:22 PM and 9:49 PM? 27 What is 609 minutes after 11:23 PM? 9:32 AM How many minutes are there between 2:54 PM and 3:08 PM? 14 How many minutes are there between 4:10 AM and 11:20 AM? 430 How many minutes are there between 6:42 AM and 12:42 PM? 360 What is 373 minutes before 8:23 AM? 2:10 AM What is 702 minutes after 7:22 PM? 7:04 AM How many minutes are there between 7:32 PM and 9:57 PM? 145 How many minutes are there between 7:09 PM and 10:52 PM? 223 How many minutes are there between 8:43 AM and 9:31 AM? 48 How many minutes are there between 2:19 PM and 2:03 AM? 704 What is 132 minutes before 9:06 AM? 6:54 AM How many minutes are there between 10:43 PM and 12:27 AM? 104 How many minutes are there between 9:08 AM and 11:46 AM? 158 What is 137 minutes after 3:34 PM? 5:51 PM What is 250 minutes after 4:08 PM? 8:18 PM What is 320 minutes after 7:46 PM? 1:06 AM How many minutes are there between 4:42 PM and 9:35 PM? 293 How many minutes are there between 3:22 PM and 3:05 AM? 703 What is 680 minutes before 2:41 PM? 3:21 AM How many minutes are there between 8:20 PM and 4:07 AM? 467 What is 421 minutes before 6:12 PM? 11:11 AM How many minutes are there between 3:15 AM and 4:44 AM? 89 How many minutes are there between 12:33 PM and 11:55 PM? 682 What is 130 minutes after 5:22 AM? 7:32 AM What is 715 minutes after 5:17 PM? 5:12 AM What is 69 minutes after 1:08 PM? 2:17 PM What is 300 minutes after 9:38 PM? 2:38 AM What is 265 minutes before 5:52 AM? 1:27 AM How many minutes are there between 12:45 PM and 11:05 PM? 620 What is 305 minutes after 5:24 PM? 10:29 PM How many minutes are there between 8:05 PM and 3:55 AM? 470 How many minutes are there between 11:41 AM and 10:17 PM? 636 What is 67 minutes before 5:49 PM? 4:42 PM What is 35 minutes before 9:54 PM? 9:19 PM What is 6 minutes before 6:28 AM? 6:22 AM What is 387 minutes before 10:52 PM? 4:25 PM How many minutes are there between 1:22 PM and 9:32 PM? 490 What is 293 minutes before 2:40 PM? 9:47 AM What is 520 minutes before 5:41 PM? 9:01 AM What is 631 minutes after 6:27 AM? 4:58 PM What is 128 minutes before 6:27 AM? 4:19 AM What is 203 minutes after 2:23 AM? 5:46 AM What is 419 minutes before 4:33 PM? 9:34 AM What is 605 minutes before 6:10 PM? 8:05 AM What is 270 minutes after 4:25 AM? 8:55 AM How many minutes are there between 7:03 PM and 7:43 PM? 40 What is 309 minutes before 6:23 PM? 1:14 PM How many minutes are there between 6:30 PM and 9:53 PM? 203 How many minutes are there between 9:24 AM and 11:49 AM? 145 What is 277 minutes before 11:27 AM? 6:50 AM What is 402 minutes after 6:06 AM? 12:48 PM What is 298 minutes after 8:03 AM? 1:01 PM What is 617 minutes after 7:40 PM? 5:57 AM How many minutes are there between 2:05 AM and 10:15 AM? 490 What is 557 minutes after 4:13 PM? 1:30 AM What is 240 minutes before 1:45 PM? 9:45 AM How many minutes are there between 7:47 PM and 7:20 AM? 693 What is 115 minutes before 7:20 AM? 5:25 AM How many minutes are there between 8:12 AM and 5:18 PM? 546 What is 481 minutes after 2:59 PM? 11:00 PM What is 372 minutes before 12:32 AM? 6:20 PM What is 244 minutes after 4:39 PM? 8:43 P
{ "pile_set_name": "DM Mathematics" }
kwwowwwoowkwk. What is prob of picking 1 o, 1 w, and 1 k? 27/140 Three letters picked without replacement from {j: 7, i: 4}. Give prob of picking 3 i. 4/165 Two letters picked without replacement from xvmxmmmmv. What is prob of picking 2 v? 1/36 What is prob of picking 2 j and 1 l when three letters picked without replacement from {a: 3, b: 1, l: 4, d: 1, j: 2}? 4/165 What is prob of picking 1 b, 1 s, and 1 r when three letters picked without replacement from isspibsirpiipsiicpbp? 2/285 Calculate prob of picking 2 z when two letters picked without replacement from {s: 5, z: 3}. 3/28 Calculate prob of picking 1 n, 1 j, 1 o, and 1 g when four letters picked without replacement from ggnjgoeroejgg. 4/143 Calculate prob of picking 1 p and 3 s when four letters picked without replacement from ssssssssssssssspssss. 1/5 What is prob of picking 3 v and 1 k when four letters picked without replacement from {k: 2, v: 7}? 5/9 Calculate prob of picking 2 l and 1 b when three letters picked without replacement from lbbbbbllbblbbblb. 11/56 Three letters picked without replacement from {q: 5, l: 9}. What is prob of picking 2 l and 1 q? 45/91 Three letters picked without replacement from {i: 2, r: 8, w: 4, p: 5}. Give prob of picking 1 p, 1 w, and 1 i. 40/969 Calculate prob of picking 1 x, 1 n, and 1 r when three letters picked without replacement from {x: 1, n: 2, c: 1, u: 3, r: 6}. 6/143 Calculate prob of picking 1 r and 1 o when two letters picked without replacement from arroaorooarrrar. 4/15 Four letters picked without replacement from ztnzzazznaaynz. Give prob of picking 1 y, 1 n, 1 t, and 1 a. 9/1001 Calculate prob of picking 1 q, 1 d, and 1 g when three letters picked without replacement from dhgadqhaqahaha. 1/91 Three letters picked without replacement from {a: 6, w: 7, c: 1, e: 1, g: 2, i: 2}. Give prob of picking 2 i and 1 c. 1/969 What is prob of picking 3 l when three letters picked without replacement from leeeeeeeeeeelleleel? 10/969 Calculate prob of picking 2 u, 1 l, and 1 g when four letters picked without replacement from {z: 1, g: 3, u: 1, f: 3, l: 7, q: 2}. 0 Calculate prob of picking 2 x and 1 g when three letters picked without replacement from xgxxxgxxx. 1/2 Two letters picked without replacement from huhuhuh. What is prob of picking 2 u? 1/7 Three letters picked without replacement from eddeeeeded. Give prob of picking 1 d and 2 e. 1/2 Two letters picked without replacement from {p: 1, n: 2, y: 2, v: 1, e: 1}. What is prob of picking 2 n? 1/21 Three letters picked without replacement from fffffffffjjf. Give prob of picking 1 f and 2 j. 1/22 Three letters picked without replacement from dddxxdxxxddxxdxx. What is prob of picking 1 d and 2 x? 9/20 What is prob of picking 1 s, 2 w, and 1 l when four letters picked without replacement from {l: 3, n: 3, m: 3, w: 3, s: 4}? 9/455 Two letters picked without replacement from {s: 2, v: 2}. Give prob of picking 1 v and 1 s. 2/3 Two letters picked without replacement from {a: 2, m: 1}. Give prob of picking 2 a. 1/3 Calculate prob of picking 2 a and 1 q when three letters picked without replacement from qqqqqaaqqqqa. 27/220 Three letters picked without replacement from {h: 2, b: 1, e: 1}. Give prob of picking 1 e, 1 b, and 1 h. 1/2 Two letters picked without replacement from vpvopppi. Give prob of picking 2 v. 1/28 Two letters picked without replacement from {d: 3, t: 2, e: 1, f: 2, s: 4}. What is prob of picking 1 s and 1 f? 4/33 Calculate prob of picking 1 e, 1 s, and 1 j when three letters picked without replacement from {s: 1, e: 1, t: 1, d: 1, k: 1, j: 2}. 2/35 Two letters picked without replacement from {t: 2, v: 2, c: 2}. What is prob of picking 1 t and 1 v? 4/15 Calculate prob of picking 2 o when two letters picked without replacement from ommooooo. 15/28 Calculate prob of picking 4 w when four letters picked without replacement from eewwewww. 1/14 What is prob of picking 1 i, 1 f, and 1 p when three letters picked without replacement from totiopotoofo? 1/220 Four letters picked without replacement from {i: 4, l: 4, s: 2, n: 4}. What is prob of picking 2 l and 2 s? 6/1001 What is prob of picking 1 z, 1 b, and 1 s when three letters picked without replacement from sbhszyhhsyzbihiz? 9/280 What is prob of picking 1 z and 2 b when three letters picked without replacement from {h: 1, x: 7, b: 3, z: 1}? 3/220 Three letters picked without replacement from dddddddxdxddd. What is prob of picking 3 d? 15/26 What is prob of picking 2 w, 1 h, and 1 d when four letters picked without replacement from {d: 7, h: 2, w: 7}? 21/130 Four letters picked without replacement from {m: 3, h: 7, l: 2, g: 3}. Give prob of picking 3 h and 1 m. 1/13 Two letters picked without replacement from nndkkdknnn. Give prob of picking 2 n. 2/9 Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {k: 2, s: 1, x: 2, t: 11}. 1/60 Calculate prob of picking 2 m when two letters picked without replacement from mmhmhehmhmm. 3/11 What is prob of picking 2 u and 2 n when four letters picked without replacement from {u: 2, n: 2, r: 7, a: 8, d: 1}? 1/4845 What is prob of picking 2 j and 1 c when three letters picked without replacement from jjjjjjjjjjjcccjjjj? 105/272 Calculate prob of picking 2 c and 2 z when four letters picked without replacement from {m: 3, z: 3, c: 3, q: 5, w: 2}. 9/1820 Three letters picked without replacement from {h: 10}. Give prob of picking 3 h. 1 Four letters picked without replacement from {i: 7, t: 4, g: 3}. Give prob of picking 2 t, 1 i, and 1 g. 18/143 Three letters picked without replacement from {n: 6, h: 1, z: 2, v: 1, g: 2, o: 5}. Give prob of picking 1 g, 1 z, and 1 o. 1/34 What is prob of picking 1 u and 3 y when four letters picked without replacement from {u: 3, y: 17}? 8/19 What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 19, f: 1}? 1/10 What is prob of picking 1 g and 2 y when three letters picked without replacement from gyyyukyyyykkgkuuuyyy? 3/38 Calculate prob of picking 2 n when two letters picked without replacement from unon. 1/6 Two letters picked without replacement from aiza. What is prob of picking 1 a and 1 i? 1/3 Two letters picked without replacement from {j: 1, a: 3, h: 4, f: 1, m: 1, y: 4}. Give prob of picking 1 j and 1 a. 3/91 What is prob of picking 2 u and 1 f when three letters picked without replacement from fuufuuffuuff? 9/22 Calculate prob of picking 3 f and 1 c when four letters picked without replacement from {f: 9, c: 2}. 28/55 Three letters picked without replacement from {h: 4, f: 10, r: 2}. Give prob of picking 3 h. 1/140 Two letters picked without replacement from llya. What is prob of picking 1 a and 1 l? 1/3 Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, b: 10}. 6/91 Calculate prob of picking 2 a when two letters picked without replacement from woavowwooobo. 0 What is prob of picking 1 m, 2 o, and 1 x when four letters picked without replacement from {o: 4, i: 2, m: 1, x: 2}? 2/21 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {e: 1, r: 1, v: 1, d: 1, z: 1}. 1/10 Four letters picked without replacement from {z: 4, v: 3}. Give prob of picking 2 z and 2 v. 18/35 What is prob of picking 2 w when two letters picked without replacement from whwwhwhhhhww? 5/22 What is prob of picking 1 i and 2 f when three letters picked without replacement from {w: 1, a: 4, v: 1, f: 2, i: 1}? 1/84 What is prob of picking 4 z when four letters picked without replacement from {q: 3, z: 1, l: 1}? 0 Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {g: 1, r: 2, v: 5, b: 3, w: 1}. 1/66 Two letters picked without replacement from {g: 2, j: 7, m: 2, a: 1, n: 6}. Give prob of picking 2 a. 0 What is prob of picking 2 g and 2 l when four letters picked without replacement from gllgllglggglllglgglg? 135/323 What is prob of picking 1 w and 1 n when two letters picked without replacement from wwwwwnnnxwnwww? 36/91 Four letters picked without replacement from tqttttmmmfataxa. What is prob of picking 2 m and 2 a? 3/455 Two letters picked without replacement from {e: 2, q: 3, x: 3, h: 1, u: 1, a: 3}. Give prob of
{ "pile_set_name": "DM Mathematics" }
p**2 - 160*p + 3081. Let l be y(22). Solve l = -612*d + 603*d for d. -5 Suppose 2754*l - 737 = 2743*l. Solve 37*a = l - 178 for a. -3 Suppose 0 = 4*n + h - 3*h - 2, -n - 13 = -5*h. Let x be (-184)/(-18) - (-2)/(-9). Suppose 2*o = -5*j + 1, -4*o = -0*j + n*j - x. Solve 0 = a - 0 - o for a. 3 Let k be ((-8)/(-7))/((100/35)/10). Let c be (10/(-15))/(k/(-6)). Solve -4*q - c = -9 for q. 2 Let y = -76 - -109. Let b = -31 + y. Suppose 9*m - 80 = m. Solve -b*s + 0 = m for s. -5 Suppose -2*q = -5*w + 6*w - 8, 4*w = 4*q + 8. Let p be (-1)/(2 - 45/20). Solve q*y - 10 = p*y for y. -5 Let l = -170 + 188. Let s = 18 - l. Solve s = k + 3*k for k. 0 Let w be 2/6*(1 - -12) - 2/(-3). Solve 0 = w*b - 145 + 150 for b. -1 Let v(n) = -10*n**2 + 18*n - 145. Let i be v(7). Let w = i + 528. Solve -17 = 12*q + w for q. -3 Let f(l) = -l**3 - 2*l**2 + 4. Let p be f(-2). Suppose -196 = 5*v + p*t, -3*v - 140 = v - t. Let j be (-6)/v - 3/18. Solve j = -0*a - a for a. 0 Let p(t) = t**3 + 7*t**2 + 7*t + 6. Let w be p(-6). Let o = -347 + 357. Suppose o*g - 32 = -2. Solve w*y = y - g for y. 3 Let k(l) = l**2 + 4*l - 30. Let c be k(-10). Suppose 363*i - 369*i + c = 0. Solve -13 = -i*h - 8 for h. 1 Let u(w) = 49*w**2 - 640*w + 45. Let x be u(13). Solve x*h + 32 = -10*h for h. -2 Suppose -4*n = -0*n + 8. Let p be n/(-4)*18 - -4. Suppose p = 5*t - 47. Solve h = 5*h - t for h. 3 Let h be (4/18)/(5/45). Suppose h = u - 2*r - 2, -3*r - 6 = -u. Solve u = -2*p - 2*p for p. 0 Suppose 5*s + 4*n - 87 = 29, 58 = s - 5*n. Solve s*h = 31*h - 15 for h. 5 Suppose 50*j + 15 = 53*j, -4*u - 3*j = -315. Solve 22*a - 7*a = u for a. 5 Suppose -83*j + 155 = -94. Suppose 0 = 2*u - 7*u + 20. Let z be 2/(-1 - 1) + 2. Solve -z + u = j*d for d. 1 Let k = -6 + 10. Let b = 19899 + -19899. Solve b*t = -k*t for t. 0 Suppose 5*n + 39 = n + t, t + 1 = 0. Let j be (n/(-4)*-1)/(18/(-36)). Solve 4 = -j*w - 6 for w. -2 Let s(l) = -2*l**2 + 15*l - 7. Let j = 251 + -244. Let c be s(j). Solve -15*m + 17*m = c for m. 0 Suppose -3*l + 8 + 1 = 0. Let p = -584 - -593. Suppose 42 = -3*j - 4*w + 105, 0 = -l*w - p. Solve 5*d + j = -0 for d. -5 Let h(n) = -n**3 + 36*n**2 - 3*n - 304. Let g be h(35). Solve g = -4*a + 808 for a. -2 Let q(x) = 3*x**2 + 2*x + 3. Let u be q(-1). Suppose 5*j + s - 22 = 2, -3*s + 28 = u*j. Let b = 65 + -62. Solve -1 = j*p + b for p. -1 Let x(m) = 1027*m - 9144. Let i be x(9). Solve 480 = -i*u + 3*u for u. -5 Let l be -8 + 18 - (-32)/40*(-30)/4. Solve -l*g - 27 = -3 for g. -6 Let m(f) = 287*f - 184 + 2*f**2 - 76 - f**2 - 573*f + 236*f. Let w be m(55). Solve 0 = -w*s + 16*s for s. 0 Suppose -4*r - 8 = -4*j, -r - j = 4*j - 22. Let l(t) = -t**3 + 36*t**2 + 55*t - 75. Let m be l(37). Let w = m + -585. Solve -u + w = r*u for u. 2 Suppose m - f = 1, 4*f + 9 = -7. Let h be ((-6)/m)/(3/6). Suppose 0 = -o + 5*o + x, 0 = 2*x. Solve o = h*v - v - 6 for v. 2 Let c = -25 + 30. Let o(z) = -z**3 + z**2 + z + 1. Let p(l) = -6*l**3 + 17*l**2 + 17*l + 14. Let w(u) = c*o(u) - p(u). Let d be w(13). Solve -s - d = -2 for s. -2 Suppose -3931 = 78*u - 141*u + 605. Solve -49*j + 58*j = -u for j. -8 Let c = -8282 + 8362. Solve 91*t - c*t = 11 for t. 1 Suppose 3*b - 3 = 3*m, -22 = -b - 2*m - 9. Suppose -b*g + 11 = 1. Solve 4*n = 6 + g for n. 2 Let y(z) be the first derivative of -2*z**3/3 - 9*z**2 - 9*z + 237. Let k = 12 + -18. Let a be y(k). Solve 0 = 5*t + 7 - a for t. 4 Suppose 0 = -43*x + 447 + 172 + 112. Solve x*v - 104 = -36 for v. 4 Let f be (-2)/((-1)/(-3)*-2). Let n(j) = 2*j**2 + 0 + j + j**f + 2 - j**3 + j**3. Let g be n(0). Solve 5*u - g*u + 12 = 0 for u. -4 Let h = -394 + 398. Let k = 2 + -2. Solve k = -h*p - 13 - 3 for p. -4 Let t = 50 + -26. Let k = t - 29. Let l = k - -11. Solve l*o = o for o. 0 Let j = 25732 - 25322. Solve -59*d - j = 23*d for d. -5 Suppose 2*i = -4*u + 32, 4*u - 274 = -266. Solve 5*h + 14 = i*h for h. 2 Suppose 6*l + 2*q = 4*l + 4, -4*l + 24 = -4*q. Suppose -8 = -l*g + 8. Solve -4*w = -8*w - g for w. -1 Let y = -7420 - -7461. Solve -y = 6*a - 47 for a. 1 Let z = -15422 - -15426. Solve 30*a + z + 26 = 0 for a. -1 Let u(c) = c + 4. Let o(s) = s**2 - 4*s + 7. Let q be o(2). Suppose 2*z = q*z. Let v be u(z). Solve 5*m - 1 = v for m. 1 Let h = -2512 + 2512. Solve h = -6*c + 16*c - 30 for c. 3 Let q(a) = a - 2. Let t be q(6). Let p(w) = 3*w**2 + 8*w - 3. Let x(m) = 3*m**2 + 8*m - 2. Let l(d) = 5*p(d) - 4*x(d). Let y be l(1). Solve y*z + 0 = -t for z. -1 Let b be ((-12)/(96/10))/(1/(-4)). Suppose j - 2*n = 2*n + 16, b*j = -4*n + 80. Solve 9*m - 13*m = j for m. -4 Suppose 2*k + d - 66 = 0, 25*k - 5*d + 42 = 27*k. Solve 6 = k*z + 222 for z. -6 Suppose -54 = -3*b + 15*k - 11*k, -5*k = -2*b + 43. Solve 1 = 15*w - b*w for w. 1 Suppose d - 48 = i, -137*d = -142*d - 4*i + 177. Solve 62 = 10*r - d*r for r. -2 Let s(b) = 12*b**2 + 28*b - 375. Let c be s(10). Solve 20 = c*n - 1110*n for n. -4 Suppose z = 5 - 1. Suppose z*k + 6 = 14. Suppose -2*j = 4*n - 3*n - 8, -3*j = -3*n - 12. Solve n = k*h + h for h. 0 Let l(u) = -27*u + 20 + 15*u**2 - 1903*u**3 - 1 + 1902*u**3. Let y be l(13). Solve 4*i = -10 + y for i. -1 Let g(l) = -3*l - 35. Let b be g(-10). Let d be 4 + (b + 5 - 2). Suppose -44*z + 47*z - 9 = 0. Solve -d*k = z*k - 5 for k. 1 Suppose 89 - 81 = 13*w - 200. Let o(z) = -2*z - 6. Let m be o(-4). Solve m*p - 22 + w = 0 for p. 3 Suppose -114*r + 110*r = -6*x - 496, -r + 4*x + 129 = 0. Solve r = -10*k + 31 for k. -9 Suppose -119*r - 18473 = -137*r - 5963. Solve 10*z - r + 655 = 0 for z. 4 Let j(b) = b**2 + 6*b - 58. Let z be j(-13). Solve 7 = 8*v - z for v. 5 Suppose -8*w - 342 = w. Let v = w + 56. Suppose 3*t - 4*n - 32 = 0, -6*n - v = -2*t - 4*n. Solve t = 2*q - q for q. 4 Suppose -2*v + 4*a = 13 - 33, -5*a = -3*v + 31. Suppose -5*x + 18*w = 22*w - v, -3*x + 15 = 5*w. Solve 2*b + x*b - 4 = 0 for b. 2 Let l be (1/3)/(4 + 406/(-102)). Suppose -15*w - 6 = -l*w. Solve -8*u + w*u + 20 = 0 for u. 4 Suppose 4*g + 4*j - 36 = 0, -4*j - 12 = -5*g + 51. Solve 3*k - g = 4 for k. 5 Let p be ((-48)/104)/((-9)/78). Suppose 2*q - 21 = -q. Solve -6 = p*c - q*c for c. 2 Let j = -5082 - -5141. Solve 0 = -62*y + j*y + 6 for y. 2 Suppose 6*l + 60 = 3*g, -3*l = -13*g + 15*g - 26. Let t = -21 - -31. Suppose -t = -2*y - 8. Solve -y = 5*s - g for s. 3 Let l be (-45 - -19)/78*-57. Solve 528 - 566 = -l*i for i. 2 Let u = -34 - -32. Let s be (-2*1/(-3))/(u/(-15)). Suppose -3*l + 5*l = -r + 1, 0 = s*r + 15. Solve -3*c = l*c - 25 for c. 5 Suppose i = g + 8, -2*i + g - 5*g - 8 = 0. Let q = -1340 + 1345. Solve 1 - q = -i*w for w. 1 Let n = -11 + 18. Let r = 122 + -119. Suppose 3*z = -2*b + 70, r*z + 8 = -4*b + 88. Solve -3*d + n*d = z for d. 5 Let g(o) = 2*o - 46. Suppose -w = 3*m + 19, 11 = -2*m - 0*w - w. Let s be (m/4)/(4 - (-408)/(-100)). Let k be g(s). Solve 3*q - 7*q = -k for q. 1 Let m(l) be the second derivative of 2*l**3/3 - 5*l**2/2 - 18*l. Let k be m(2). Suppose 0 = -4*w - 5*b + 23, 2*b - 7 = -5*w + k*b. Solve 0 = -w*p + 4 - 0 for p. 2 Let u = 23024 + -22952. Solve -u = 16*j - 8 for j. -4 Let y = 372 + -322. Let d be (y/(-6))/5*36/(-5). Solve d = -18*s + 15*s for s. -4 Let d = 3859 + -3818. Solve d*c - 6 = 43*c for c. -3 Let n = 1146 + 1104. Solve 4*w = -n + 2266 for w. 4 Let k = -4 + 8. Suppose -4*m + m = -2*h, 4*h - m = 0. Suppose -2*s - 5*t - 7 = h, -2*t = 61*s - 56*s - 35. Solve -k*w - s = 7 for w. -4 Let a be (-1357)/10*-2 - (-10)/(-25). Solve -a*f + 284*f + 26 = 0 for f. -2 Suppose 165 = 923*b - 908*b. Solve b*j - 17*j + 12 = 0 for j. 2 Let o be ((-14)/3)/(922/(-4149)). Suppose 5*g = -5*a + 235, -2*g + 184 = 6*a - 2*a. Solve o = -6*k + a for k. 4 Let n be 43/5 - 8/(-20). Suppose 36 = 3*i + n*i. Solve b + 2 = i*b for b. 1 Let c(b) be the first derivative of b**4/4 - 5*b**3 + 13*b**2/2 + 20*b + 1. Let q = 7871 + -7857. Let m be c(q). Solve m*d = d - 10 for d. -2 Let l(s) = s**2 - 10*s - 35. Let w be 1*1/7 - (-1530)/119. Let r be l(w). Solve 0 + 4 = r*d for d. 1 Let k = -1266 - -1294. Solve -5*h - k = 2*h for h. -4 Suppose 0 = -2*p - 5*c + 61, 4*p = -3*c + 50 + 37. Suppose 3*h - p = -12. Solve -i = -h*i for i. 0 Suppose 15 = 15*l - 12*l. Suppose 20 = 2*z - 2*c - c, -2*z = c - 20. Suppose 3*n = -n. Solve -z = -l*i - n for i. 2 Let l(t) = -t**3 - 4*t**2 - 4*t + 2. Let m be l(-3). Let q be (-300)/24*(m - 11). Solve 79 = -
{ "pile_set_name": "DM Mathematics" }
3 q and 1 k? 120/1001 Three letters picked without replacement from {u: 2, t: 1, d: 3, b: 5, m: 1, f: 1}. Give prob of picking 1 m, 1 f, and 1 d. 3/286 Four letters picked without replacement from {k: 5, u: 3, a: 2, i: 7}. Give prob of picking 2 k, 1 u, and 1 a. 3/119 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {c: 2, z: 6, b: 9}. 27/68 Three letters picked without replacement from rrcrmcyyyssysyyyyzyz. Give prob of picking 1 s and 2 y. 9/95 Calculate prob of picking 2 i when two letters picked without replacement from iidiidiiid. 7/15 Four letters picked without replacement from {y: 1, e: 2, l: 1, k: 1, o: 1, x: 1}. Give prob of picking 1 l, 1 o, 1 e, and 1 x. 2/35 Two letters picked without replacement from wwwwcc. Give prob of picking 2 c. 1/15 Three letters picked without replacement from pskskkefpkkk. What is prob of picking 2 k and 1 s? 3/22 Calculate prob of picking 1 d and 3 x when four letters picked without replacement from {d: 4, t: 7, x: 7}. 7/153 Two letters picked without replacement from {c: 7, e: 3}. What is prob of picking 1 c and 1 e? 7/15 What is prob of picking 2 o when two letters picked without replacement from {r: 1, g: 4, o: 8}? 14/39 What is prob of picking 1 w, 1 u, and 1 o when three letters picked without replacement from {y: 2, m: 4, u: 1, w: 1, x: 3, o: 1}? 1/220 Four letters picked without replacement from {a: 4, e: 9, c: 1}. Give prob of picking 1 a and 3 e. 48/143 Two letters picked without replacement from {g: 14, a: 1, e: 1}. Give prob of picking 2 e. 0 Three letters picked without replacement from {v: 1, y: 6, u: 3, t: 6, k: 1, l: 1}. What is prob of picking 1 v, 1 y, and 1 k? 1/136 Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {r: 9, y: 3, l: 4}. 9/40 Two letters picked without replacement from {z: 1, w: 1, g: 9}. Give prob of picking 1 w and 1 g. 9/55 What is prob of picking 2 s when two letters picked without replacement from sqsqssq? 2/7 Three letters picked without replacement from {l: 6, y: 3, r: 3, h: 1}. What is prob of picking 1 y, 1 r, and 1 h? 9/286 What is prob of picking 3 c when three letters picked without replacement from cccc? 1 Three letters picked without replacement from {m: 1, c: 5, y: 2, n: 1, l: 6}. Give prob of picking 2 c and 1 m. 2/91 Two letters picked without replacement from gxgg. What is prob of picking 2 g? 1/2 Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {p: 2, o: 6}. 3/7 Calculate prob of picking 4 r when four letters picked without replacement from {r: 6, h: 2}. 3/14 What is prob of picking 3 b when three letters picked without replacement from gbbhgbhhghb? 4/165 Calculate prob of picking 2 i and 1 n when three letters picked without replacement from niiiniiniiiiniinin. 33/68 Two letters picked without replacement from vssvavttva. Give prob of picking 1 s and 1 v. 8/45 What is prob of picking 2 z and 2 d when four letters picked without replacement from {d: 3, e: 1, z: 12}? 99/910 Four letters picked without replacement from uttuuuuyuyti. What is prob of picking 1 y, 2 t, and 1 u? 4/55 What is prob of picking 2 c and 1 r when three letters picked without replacement from {x: 4, f: 3, k: 1, c: 2, r: 1}? 1/165 Two letters picked without replacement from {t: 9, x: 11}. What is prob of picking 2 t? 18/95 Calculate prob of picking 2 c and 2 w when four letters picked without replacement from {c: 2, j: 2, v: 1, o: 6, w: 6}. 3/476 Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeceec. 1/3 Calculate prob of picking 1 p and 2 q when three letters picked without replacement from qqqqqffps. 5/42 Two letters picked without replacement from cjcjpcjvjj. Give prob of picking 1 p and 1 v. 1/45 Two letters picked without replacement from {x: 1, w: 1, i: 9, c: 7}. What is prob of picking 2 c? 7/51 Calculate prob of picking 4 f when four letters picked without replacement from mfmmmffmmfmmfmffmfmf. 42/1615 Two letters picked without replacement from oonooznzonzozo. Give prob of picking 1 o and 1 n. 3/13 Four letters picked without replacement from uyyqnzcc. What is prob of picking 2 c, 1 q, and 1 n? 1/70 What is prob of picking 1 x, 1 b, 1 j, and 1 h when four letters picked without replacement from {b: 12, j: 2, x: 2, h: 2}? 8/255 Three letters picked without replacement from {i: 2, o: 1, a: 2, r: 6}. Give prob of picking 3 r. 4/33 What is prob of picking 3 k and 1 m when four letters picked without replacement from {w: 1, k: 10, p: 1, m: 6, o: 2}? 48/323 Three letters picked without replacement from {n: 6, c: 3, k: 5, s: 1}. Give prob of picking 1 n and 2 c. 18/455 Three letters picked without replacement from pxnxkxgkxxk. Give prob of picking 1 g and 2 x. 2/33 Two letters picked without replacement from nxnexpqxeqxnnennx. What is prob of picking 1 p and 1 n? 3/68 What is prob of picking 2 d and 1 x when three letters picked without replacement from xtddxdndxx? 1/5 Three letters picked without replacement from xkkkkkkkf. Give prob of picking 1 k, 1 f, and 1 x. 1/12 Four letters picked without replacement from {p: 2, z: 2, t: 2}. What is prob of picking 2 t and 2 p? 1/15 Calculate prob of picking 3 n when three letters picked without replacement from {c: 14, n: 4}. 1/204 Calculate prob of picking 3 z when three letters picked without replacement from {z: 10, v: 2}. 6/11 What is prob of picking 2 a when two letters picked without replacement from {a: 2, m: 1}? 1/3 Three letters picked without replacement from {t: 5, e: 4, w: 2, h: 1, z: 2}. What is prob of picking 1 z and 2 t? 5/91 Calculate prob of picking 2 l when two letters picked without replacement from {b: 2, k: 1, l: 3, r: 1}. 1/7 Two letters picked without replacement from {l: 6, u: 9, f: 2}. Give prob of picking 2 u. 9/34 What is prob of picking 1 u and 3 a when four letters picked without replacement from {n: 1, u: 5, a: 7, d: 1}? 25/143 Four letters picked without replacement from nnhhnnnnnhhhhnhhnhh. Give prob of picking 1 h and 3 n. 70/323 Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {t: 1, p: 1, z: 1}. 1/3 Three letters picked without replacement from bbiibbqsyss. What is prob of picking 2 q and 1 b? 0 What is prob of picking 1 s, 1 x, 1 g, and 1 p when four letters picked without replacement from psxgxpgppppsppxgp? 81/1190 Two letters picked without replacement from uxlxxxxul. What is prob of picking 1 l and 1 u? 1/9 Three letters picked without replacement from {y: 2, g: 3, f: 2, q: 9}. What is prob of picking 1 g, 1 y, and 1 q? 27/280 What is prob of picking 2 r and 2 t when four letters picked without replacement from tttrwtrtwttttt? 45/1001 What is prob of picking 3 r when three letters picked without replacement from crcrcccccr? 1/120 Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {t: 1, g: 4, o: 1, f: 7}. 21/286 Three letters picked without replacement from {t: 9}. Give prob of picking 3 t. 1 Calculate prob of picking 2 c and 1 q when three letters picked without replacement from eqdcacdeveed. 1/220 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eaehiipq. 1/14 Two letters picked without replacement from nnnnbbn. What is prob of picking 1 b and 1 n? 10/21 Two letters picked without replacement from bbvvbbv. Give prob of picking 2 v. 1/7 Calculate prob of picking 2 y, 1 o, and 1 a when four letters picked without replacement from yaaaofyata. 1/42 What is prob of picking 1 h and 2 c when three letters picked without replacement from hzczhcczc? 1/7 Calculate prob of picking 1 f, 1 v, and 1 z when three letters picked without replacement from {y: 1, m: 3, v: 6, z: 4, f: 1}. 24/455 Calculate prob of picking 1 e and 3 s when four letters picked without replacement from esseeseees. 4/35 Two letters picked without replacement from qqiuiizlziqllqlii. What is prob of picking 1 q and 1 z? 1/17 Two letters picked without replacement from pswp. Give prob of picking 1 s and 1 p. 1/3 What is prob of picking 4 k when four letters picked without replacement from xxxkxkxxxxxxkkxxxx? 1/3060 Four letters picked without replacement from cicbiicbccibbccc. W
{ "pile_set_name": "DM Mathematics" }
2)/(-4)*(404 + 0). 2, 101 Suppose -4*r = 4*b - 5*r + 155, 4*b = 2*r - 158. Let m = b - -60. List the prime factors of m. 2, 11 What are the prime factors of 27/18*16/3? 2 Let z be (-12)/(-7) - (-8)/28. Suppose 2*u + 2*u = j + 19, 10 = 4*u + z*j. What are the prime factors of u? 2 Suppose 184 = 2*b + 5*j, -j = b - 0*j - 98. List the prime factors of b. 2, 3, 17 Suppose -2*m + 38 = -2*t - 54, 0 = 3*m - 5*t - 142. What are the prime factors of m? 2, 11 Suppose 4*k = -35 + 243. What are the prime factors of k? 2, 13 Let i be ((-15)/(-6))/(7/14). Suppose 3*q = 2*q + 4*a + 44, -2*a = i*q - 132. What are the prime factors of q? 2, 7 Suppose 3*t - 220 = 5*o, 2*t + 3*t - 300 = -5*o. List the prime factors of t. 5, 13 Let l be (2 - 2)/1 - -5. Suppose l*k - 6 - 54 = 0. List the prime factors of k. 2, 3 Let u be (4 - 2)/((-1)/(-5)). List the prime factors of 188/6 - u/(-15). 2 Let n(v) = -v - 6. Let f be n(-6). Suppose -h - 2 = -f*h. What are the prime factors of ((-8)/6)/(h/3)? 2 Suppose 7 = 5*l - 13. What are the prime factors of l? 2 Let p be 257 + (-16)/(-4) + -1. What are the prime factors of 16/88 - p/(-22)? 2, 3 Let n be 5/((15/12)/(-5)). Let u = n - -33. Let g = u - 8. List the prime factors of g. 5 Suppose -332 = -4*q - 4*v, -435 = -7*q + 2*q - v. What are the prime factors of q? 2, 11 What are the prime factors of 89/3 + 6/18? 2, 3, 5 Let l be (-2)/1 + 2 - 1. Let q(g) = 23*g**2 - g. What are the prime factors of q(l)? 2, 3 Suppose -u + 100 = 4*u. What are the prime factors of u? 2, 5 List the prime factors of 3/(3/2 + 1989/(-1343)). 2, 79 Let m be (-4)/5*(-10)/(-4). What are the prime factors of m/1 + 15 + -1? 2, 3 Let f be 1/(-3 + 64/20). Suppose 13 = f*l - 42. List the prime factors of l. 11 Suppose 3*c + 350 = -3*k + 923, -380 = -2*c - 3*k. What are the prime factors of c? 193 Let w be -2 - -1 - -3 - -7. Suppose t + 4*n = -16, -3*n + 2 - w = 2*t. What are the prime factors of t? 2 Let s be (-3 + (-26)/(-6))*-6. What are the prime factors of s/(-6)*21/2? 2, 7 Let a(p) = -13*p**3 + 2*p**2 - p - 2. List the prime factors of a(-2). 2, 7 Suppose -5*s + 15 = -z, 1 + 4 = 5*s + z. Suppose 3*p - s*d = -3*d + 14, 3*d = p - 18. Suppose -3*x + 21 = p. List the prime factors of x. 5 Let c(a) = a**3 + 10*a**2 + 5. What are the prime factors of c(-10)? 5 Suppose -3*x + 51 = 2*s, -2*s - 2*x + 48 = -0*x. Let c = 29 - s. What are the prime factors of c? 2 Suppose -10 = 3*q + 2*q, 0 = -4*f + 2*q + 244. Let x = -40 + f. What are the prime factors of x? 2, 5 Suppose 7*j - 3*j = -4*q - 8, 0 = -5*q - 10. Suppose j = -u + 28 + 13. What are the prime factors of u? 41 Suppose 3 + 21 = 5*p + 3*a, 3 = 5*p - 4*a. List the prime factors of p. 3 Let s(v) = v + 0*v - 2*v + 7. Suppose -4*d = -1 + 21. List the prime factors of s(d). 2, 3 Let m = 15 - 11. Suppose -m*k + u = -33, 5*u + 45 = 6*k - k. What are the prime factors of k? 2 Let c(u) = 2*u**2 - 9*u + 5. Let w(v) = -3*v**2 + 14*v - 8. Let h(a) = 7*c(a) + 5*w(a). List the prime factors of h(4). 7 Let h = -18 - -35. List the prime factors of h. 17 Suppose 2*z + 2*a - 4 = 0, -3*a + 3 = -2*z + 6*z. Let y = 10 + z. List the prime factors of y. 7 Suppose -49*s + 45*s + 552 = 0. What are the prime factors of s? 2, 3, 23 What are the prime factors of 0 - -19*3/3? 19 Suppose 0 = -3*u + 19 + 113. What are the prime factors of u? 2, 11 Let z = 3 - 3. Suppose 0 = 2*b - t - 84, 4*b + 3*t - t - 160 = z. Suppose 4*q - 3*p - 63 = -10, -4*q - p = -b. What are the prime factors of q? 11 Let t be (-905)/(-10) + (-3)/6. Suppose 3*r - t = -0*r. List the prime factors of r. 2, 3, 5 Let r(q) = -q**2 - 4*q + 7. Let n be r(-5). Suppose n*s - 18 - 122 = 0. Suppose -3*m + 14 = -5*p - 36, -5*m = 5*p - s. List the prime factors of m. 3, 5 Let b = 0 - 0. Suppose 0*z + 5*z = b. Suppose 5*o - 24 - 11 = z. List the prime factors of o. 7 Let d(v) = v**3 + 11*v**2 + 6*v - 8. What are the prime factors of d(-10)? 2 Suppose z + 37 = r + 9, -3*r - 5*z = -108. What are the prime factors of r? 31 What are the prime factors of 19 - (3 + 0 + -6)? 2, 11 Let m = 11 - 6. Suppose 2 = c + m. List the prime factors of -2*(-4)/(-3)*c. 2 Suppose -10*t + 469 - 69 = 0. What are the prime factors of t? 2, 5 Let w(q) = -q**2 + q - 56. Let u be w(0). Let g = u - -94. Suppose y - 26 = -0*a - 3*a, 0 = -2*y + a + g. List the prime factors of y. 2, 5 Suppose 2*s - 100 = -3*s. What are the prime factors of s? 2, 5 Suppose -156 = -3*n + 5*b + 38, -4*n + 2*b = -268. List the prime factors of n. 2, 17 Let b(f) = 3*f**3 - f + 1. Let q be 12/9 + 6/9. List the prime factors of b(q). 23 Suppose 4*o = -q + 27, 5*o + 4*q - 12 - 19 = 0. Let d = 7 - o. Suppose -t + 0 + 9 = d. What are the prime factors of t? 3 Let q(g) = 3*g - 8. Let c = 49 - 35. Let l = c + -8. What are the prime factors of q(l)? 2, 5 Let k = 12 + -35. Let r = 33 + k. What are the prime factors of r? 2, 5 Let x = 38 + -8. What are the prime factors of x? 2, 3, 5 Let q = 31 + -1. What are the prime factors of q? 2, 3, 5 Let h = 26 + -23. What are the prime factors of h? 3 Let l be 105/12 + 3/12. Suppose 2*z + 2*p = 3 + l, -3*p + 28 = 4*z. What are the prime factors of z? 2, 5 Suppose 3*w = 243 + 42. List the prime factors of w. 5, 19 Suppose 0 = 2*f - 5*m + 21, 0*f - 3*f - 4 = -2*m. Suppose -f*l - 4*u + 18 = -8*u, 43 = 4*l - u. What are the prime factors of l? 11 Suppose 2*n - 4 = -14. Suppose -5*q + 21 = -2*q. Let v = q + n. What are the prime factors of v? 2 Suppose 644 + 291 = 5*d. List the prime factors of d. 11, 17 Suppose -4*v = -2*v - 8, 5*j + v - 4 = 0. Let g(n) = -n + 26. Let i be g(j). Let q = 40 - i. List the prime factors of q. 2, 7 Let t be 37/(-3) - (-5)/15. What are the prime factors of 2/(-12) - 242/t? 2, 5 Let j = -208 + 442. List the prime factors of j. 2, 3, 13 Suppose -122 = -t - t. List the prime factors of t. 61 Let a be (3/(-6))/(1/(-6)). Suppose 0 = -0*y + a*y - 6. Suppose -3*m + 16 = -5*k, -y*m + k + 16 = -k. What are the prime factors of m? 2, 3 Suppose q + 3*q - 3*a - 33 = 0, -5*q = 4*a - 49. What are the prime factors of 6 - (5 + q/(-3))? 2 Suppose 0*f + 2*f = 5*u - 6, f = -u - 10. Let q = f + 17. List the prime factors of q. 3 Let m(d) = d - 5. Let s be m(10). Suppose h = -s*h + 150. List the prime factors of h. 5 Let h = 76 - 25. What are the prime factors of h? 3, 17 Let z be -1*(-3 - (2 - 1)). Let g(c) = c**3 - 5*c**2 + 6*c - 3. Let s be g(z). Suppose 0 = -m + s + 5. List the prime factors of m. 2, 5 What are the prime factors of -1*(3 + -82 + 0 + 1)? 2, 3, 13 Let h(t) = t**3 - t**2 - 1. Let x be h(0). List the prime factors of 9 + (2 - (x - -1)). 11 Let h be (4 - 3 - -2) + -1. Suppose x + 5*f - f = 36, h*x = -5*f + 60. What are the prime factors of x? 2, 5 Suppose 6 = 2*s - 0*s, -4*k = 5*s - 15. Suppose k = 3*l - 17 - 1. List the prime factors of l. 2, 3 Let v = -37 + 40. Let a(n) = 4*n**2 + n**3 - 6*n**3 + 4*n**3 + 4. List the prime factors of a(v). 13 Suppose 2*h = 4, -2*c - h + 2*h + 50 = 0. List the prime factors of c. 2, 13 Let k(z) = -2*z + 2*z + z. Let f be k(4). What are the prime factors of f + -2 + 9/3? 5 What are the prime factors of 103 + 3 - (-5 - (-12)/4)? 2, 3 Let k = -43 - -84. Suppose 2*g - 57 = -5*v, 3*v - 3*g = k - 11. What are the prime factors of v? 11 Let l(q) = 2*q**2 + 2*q - 2. Let n be l(-2). Let i(o) = 6*o**2 - 3*o. List the prime factors of i(n). 2, 3 Suppose -4*s + 66 = 3*q, 0 = -0*s + 3*s - 2*q - 58. What are the prime factors of s? 2, 3 Let d be 276/10 - 6/10. Let q = d - 18. List the prime factors of q. 3 List the prime factors of ((-5)/(-15))/(3/18). 2 Suppose -11*x + 279 = -8*x. What are the prime factors of x? 3, 31 Let a be (-3 - -3)*(-2)/4. Suppose 0 = 4*v - a*v - 48. List the prime factors of v. 2, 3 Suppose 5*u = 8 + 2. Suppose -u*p = -4*p + 4. Suppose 0 = -p*s - 4*q + 24, 5*q - 24 - 46 = -5*s. What are the prime factors of s? 2 Suppose -2*a - 5*h - 8 = 0, 4 + 0 = -2*a - 4*h. Let c = 18 - a. List the prime factors of c. 2, 3 Suppose -3*x - 5*l - 342 = x, 3*x + 274 = 5*l. What are the prime factors of x/(-12) + (-4)/(-6)? 2 Let k(i) = i**3 - 5*i**2 - 5*i + 9. Let w be k(6). Suppose 5*g - w = 5. Suppose 12 = g*n - n. What are the prime factors of n? 2 Let z(i) = 9*i**2 - i + 1. Let n be z(1). Suppose -r = 2*r - n. Suppose q - r*q - 2*j = -16, 8 = -2*
{ "pile_set_name": "DM Mathematics" }
7, -1, c? -1 Let f = 5 + 92. Let t = 95.98 - f. Let p = 0.02 + t. Which is the second smallest value? (a) -0.4 (b) 4 (c) p a Let s = -28 + 18. Let u = s + 9.5. Let x = -25/3 + 73/9. Which is the second smallest value? (a) x (b) u (c) 1/4 a Let h be ((-110)/45)/((-412)/(-22)). Let x = -2/103 - h. Let b = 0.2 + -0.3. What is the biggest value in b, 0.2, x? 0.2 Let k = 5.7 - 6. Let x = k + 0.7. Let i = -14 - -16. Which is the third smallest value? (a) 0 (b) i (c) x b Let q = 2 + -5. Let r = q - -3. Let y = -7.6 + 11.6. What is the third biggest value in y, r, 0.1? r Let s = -2.977 + -0.023. Which is the second biggest value? (a) -14 (b) -4 (c) s b Let i be 5/10*(-12)/(-39). Which is the fourth smallest value? (a) 0.03 (b) -1/3 (c) i (d) -0.4 c Let z = -3 + 4. Let f be (8/(-6))/(-2) + -1. Which is the second biggest value? (a) z (b) f (c) 5 a Suppose -g - 1 + 3 = 0. Which is the third biggest value? (a) 0.4 (b) 6/5 (c) g a Let j = -7 - -7.01. Let u = 0.1 - 5.1. What is the third biggest value in j, u, 2? u Let n = 1.2 - -2.8. Which is the second smallest value? (a) 2 (b) 1 (c) n a Suppose -169 = -4*k + 3*m, 4*m = k + 8*m - 28. Let d = 203/5 - k. What is the third biggest value in 0, d, -5? -5 Let x be 4/(-14) + (-9)/(-56). Let u be ((-4)/(-8))/(3/30). Suppose s + u*i + 17 = 0, s = i - 5*i - 14. Which is the biggest value? (a) s (b) x (c) 2/17 c Let u = -410/171 - -54/19. What is the third biggest value in u, 0.4, 0.02? 0.02 Let a be 4 + (0 - -1 - 4). Let u = 1.4 + 0.1. Let n = 2 - u. What is the third smallest value in n, 3, a? 3 Let r be (-98)/8547*(-6927)/68. Let f = 589/74 - r. Let g = f - 76/11. Which is the second smallest value? (a) g (b) -1 (c) 0.1 a Let j be -2 - (-3 - (45/7)/(-5)). What is the fourth smallest value in -1, j, -4, 4/5? 4/5 Let f = 0.3 - 0.2. Let p = -0.1 + 0.6. Let m = p + -0.6. Which is the smallest value? (a) f (b) m (c) -3 c Let t(f) = f + 1. Let x be t(-4). Let u be 3 - (-1 + 2 + -1). Let i be (-2)/u + (-56)/(-66). What is the second smallest value in x, i, 3? i Let h = 4448/13 - 342. Which is the third smallest value? (a) 2 (b) h (c) 4 c Let k = -0.147 - -0.137. What is the biggest value in k, 2/17, 0.2? 0.2 Let v = -92 - -1382/15. Let f = v + 31/105. What is the smallest value in 0.2, f, 5/2? 0.2 Let t = -1 - 11. Let s = 10 + t. What is the third smallest value in 2/7, s, -0.5? 2/7 Let q = 4 + -2. Which is the second smallest value? (a) 0.4 (b) 1/2 (c) q (d) -0.6 a Let i be 4 + 2/(-8) + 0 + -4. Which is the fourth smallest value? (a) i (b) -4 (c) -1 (d) -5 a Let n = 2 - -3. Let o = -207 + 205. What is the second biggest value in 0, o, n? 0 Let l = -261 - -698. Suppose 157 = -4*p + l. Let f = p + -699/10. What is the second biggest value in 5, f, 0.5? 0.5 Let d = 0.045 - -3.255. Let t = 3 - 0. Let x = t - d. Which is the second biggest value? (a) 5/6 (b) x (c) -5 b Let x = 23.6 - 21. Let z = x - 3. What is the third smallest value in 1/4, z, 0? 1/4 Let l = 2.6 + 0.4. What is the second biggest value in l, 0, 1? 1 Suppose -i + 2 = 2*c, -3*c - 8 = c - i. What is the biggest value in c, 1/7, 2/5? 2/5 Let y = 0.003 + 0.197. What is the second biggest value in y, -0.11, 3? y Suppose 2*d = 0, d + 24 = -0*x + 2*x. Let z = x + -20. Let n be z/36*3/(-2). What is the third smallest value in 3, 0.4, n? 3 Let m = 2.5 - 0.5. Let v = m - 7. What is the second biggest value in -3, v, 2? -3 Let p = 172.3 - 172. What is the second smallest value in -2, p, 0.1? 0.1 Let u = -0.03 - 2.97. Let k = 7 - 13. Let r = 4 + k. What is the third smallest value in -4/3, u, r? -4/3 Let r be 1/(-2)*-4 + 0. Suppose 0 = r*w - 3 - 5. Suppose -12 = 2*j + 4*j. What is the biggest value in w, j, -2/3? w Let p = 1.5 + -1.7. Let d = 7/36 - -5/9. What is the biggest value in d, 1/3, p? d Suppose -1 - 11 = -3*p. Which is the third smallest value? (a) p (b) -6 (c) -2/3 a Let b = 0.01 - -9.99. Let l = 11 - b. What is the second smallest value in -5, l, -2/3? -2/3 Let o = -1.92 - 0.08. Let i = -1 - -0.5. Suppose -4*k = 4*q - 28, 5*q - 14 = -k + 3*k. What is the third biggest value in i, k, o? o Let x = 0.04 - -0.06. What is the second smallest value in x, -4/3, 0.3? x Let c be (-7)/((-63)/(-12))*-6. Suppose c = 3*u + 2. What is the third smallest value in 0, 0.3, u? u Let d(s) = s**3 + 5*s**2 - 6*s. Let w be d(-6). Which is the biggest value? (a) w (b) -1/2 (c) -31 a Let g = 40 - 40.1. Let w(s) = s**3 - 2*s**2 - 1. Let t be w(2). What is the third smallest value in -2/7, g, t? g Let f = -20 - -10.26. Let k = 0.26 - f. Which is the biggest value? (a) -3/2 (b) k (c) 0.2 b Let l be 24/9 - (2 + 1). Let k be (6/(-15))/((-9)/(-5)). Which is the second biggest value? (a) l (b) 0.3 (c) k c Suppose 0 = 2*p - 2, -p + 9 = 2*m - 2*p. Which is the second smallest value? (a) m (b) 2 (c) -2/3 b Let q = 13/6 + -59/30. What is the biggest value in q, 5, -0.5, -3/8? 5 Let j = 12.7 + -12. Let h = j - -2.3. Let i = -0.02 + 5.02. What is the third smallest value in h, i, -0.5? i Let w = -29.4 + 29. Let q be ((-4)/(-6))/(2 - 0). Which is the third smallest value? (a) q (b) w (c) -3/4 a Let w be (6/(-10))/((-9)/10). Which is the third smallest value? (a) 3 (b) 2/5 (c) 2 (d) w c Let d = 0.15 - 2.35. What is the second biggest value in 4, d, 0.5? 0.5 Let x = -19 - -27. Let j be x/(-10)*2/4. Let m = 1.1 - 5.1. Which is the biggest value? (a) j (b) -2/23 (c) m b Let a = 7 - 6.7. Let h = 1 + -20. Let d = h + 15. What is the second biggest value in a, 3/2, d? a Let g = 2.6 - 1.6. What is the smallest value in g, -3/4, 1/5? -3/4 Let l = -0.08 + 0.02. Let b = -2.94 + l. What is the third smallest value in 3/4, -0.2, b? 3/4 Suppose 5*y + 270 = -0*y. Let z be (-4)/(-14) - y/(-42). Let p = 29/4 + -7. What is the third biggest value in p, -3, z? -3 Let m = 3 - 4. Suppose -4*g + z = 11 - 3, 3*g - z = -5. Let j be (g/(-42))/(2/(-16)). Which is the third biggest value? (a) 1/11 (b) j (c) m c Let d = -1.2 + -3.8. What is the biggest value in d, 5, -3, 2? 5 Let v(w) = 24*w**2 - w - 1. Let k be v(-1). Let m be -2*(70/k + -3). What is the biggest value in m, -4, 2? 2 Let y = 3187/13 + -245. What is the second biggest value in y, -1, -14? -1 Let b(l) = 2*l - 3. Let i be b(3). Suppose -i*s + 20 = 2*s. Let r = 0.01 + -1.01. What is the third biggest value in r, 1/2, s? r Let l = 0.04 - 4.04. Let n be (12/44)/(3/(-2)). Let j = 7.6 - 8. Which is the third biggest value? (a) n (b) j (c) l c Let p = 5.46 - 0.46. What is the second biggest value in -0.5, -5, p? -0.5 Let n(v) = -v**3 + 3*v**2 - v. Let k be n(2). Which is the third biggest value? (a) k (b) -4 (c) 0.5 b Let k be 3/(-9)*(-3)/(-1). What is the second smallest value in -5, -0.2, k? k Let w = 0.19 - -3.81. What is the third biggest value in w, 0, 0.13? 0 Let d = -150 - -153. What is the third biggest value in 7, 5, d? d Let i = 1.8 - -1.2. Let k = 12 - 11. Which is the third biggest value? (a) k (b) i (c) -4/9 c Let t be (16/(-10))/((-10)/(-25)). What is the second biggest value in 5, t, -0.14? -0.14 Let y = 6 - 10. Let v be (y/(-10))/(2/20). Let m = -29 - -146/5. Which is the third biggest value? (a) v (b) -2 (c) m b Let d = 46 - 46.3. Let s = 0.3 + 0.2. Let l = s + 1.5. What is the smallest value in d, l, -3/2? -3/2 Let z be -6*(-8)/18*3. Let r(d) = -d - 1. Let k be r(2). Let f be (k/(-12))/(10/z). Which is the second biggest value? (a) f (b) -0.4 (c) 2/11 c Let u be 6/12 + (-9)/(-2). Let r = 5 - u. Suppose s - 3 + 7 = r. Which is the second biggest value? (a) s (b) 3/2 (c) 0.3 c Let v be 4/122 + 0/(-2). Let w = 55/183 + v. Which is the third biggest value? (a) -0.1 (b) w (c) 4 a Let k = 6 - 12. Let w = -7 - -11. Let f = w + k. Which is the third smallest value? (a) -1/12 (b) f (c) 2/9 c Let r be ((-1)/39)/((-1)/23). Let k = r + 15/26. Which is the biggest value? (a) -5 (b) -1/2 (c) k c Let u be (10/(-4) - -4)/(-2). What is the third smallest value in u, 0.01, 0.2? 0.2 Suppose 15 = -7*p + 10*p. What is the fourth smallest value in 3, -0.5, 0.1, p? p Let q = -0.92 - -0.52. What is the biggest value in 2, q, 1/2? 2 Let t = -7 - -6. Suppose -15 = 3*g, 2*p + 3*g + 13 = -0*p. Let w = -1 - -0.6. What is the third smallest value in t, w, p? p Let d =
{ "pile_set_name": "DM Mathematics" }
t r(t) = -4*t. Let n(u) = -226*u - 19642. What is n(r(i))? 904*i - 19642 Let l(a) = -a**2. Let z be 3 - 0/(2/(-2)*5). Let m(r) be the second derivative of r**4/12 - 5*r. Let f(t) = 2*t**2. Let c(n) = z*f(n) - 5*m(n). What is c(l(x))? x**4 Let x(i) = -2*i. Suppose -2*j + 2 = 4*w - 16, 4*w + j = 13. Let d(q) = -w*q + q + 5*q. What is d(x(o))? -8*o Let s(f) = 46*f + 3. Let i(k) = -4222*k - 5. What is i(s(q))? -194212*q - 12671 Let n(t) = 5*t. Let d(u) = 5532922*u. Calculate d(n(z)). 27664610*z Let p(g) be the third derivative of -g**5/30 - 719*g**4/24 - 40*g**2 - 4*g - 1. Let z(q) = -q. Calculate p(z(b)). -2*b**2 + 719*b Let q(o) = o**2 + 3131 - 3131. Let g(i) = 82*i + 10. Let l(u) = -245*u - 28. Let j(v) = 14*g(v) + 5*l(v). Determine q(j(m)). 5929*m**2 Let k(x) = -15*x**2 + 5*x - 5. Let p = -282 - -281. Let i(q) = -4*q**2 + q - 1. Let u(h) = p*k(h) + 5*i(h). Let t(o) = 16*o. Give t(u(a)). -80*a**2 Let v(c) = -c. Let s(u) = -19*u - 19. Let t be s(-2). Let a(w) = -9 + 33 - t*w - 26. What is v(a(j))? 19*j + 2 Let g(q) = 7*q. Let s(n) = 8780063*n. What is s(g(c))? 61460441*c Let n = -7762 + 7762. Let q(v) be the first derivative of 20 + 3/2*v**2 + n*v. Let x(i) = -8*i. What is x(q(k))? -24*k Let q(g) = g. Let c(s) = 2*s - 11. Let o(p) = -22*p + 87. Let z(m) = 8*c(m) + o(m). Determine z(q(u)). -6*u - 1 Let c = -317 - -2425. Let r(b) = 4 - c*b + 16*b**2 - 2 + 2108*b. Let d(f) be the third derivative of -f**5/60 - f**2. Give r(d(n)). 16*n**4 + 2 Let f(m) = 114*m - 9. Let k(y) = -263*y + 21. Let p(s) = 7*f(s) + 3*k(s). Let q(o) be the second derivative of -13*o**4/12 + o. What is q(p(l))? -1053*l**2 Let j(l) = -2*l**2 + 11. Suppose 3*u + 4 = 4*u. Let w(s) = -2*s + 4. Let c(n) = n - 1. Let b(k) = u*c(k) + w(k). Calculate j(b(q)). -8*q**2 + 11 Let w(t) = 6*t. Let o(p) be the second derivative of -13/4*p**4 - 1/3*p**3 + 0*p**2 - 246*p + 0. Determine o(w(l)). -1404*l**2 - 12*l Let i(z) = 3*z**3 + 46*z**2 - 34*z - 32. Let q be i(-16). Let l(k) be the second derivative of 0*k**2 + 16*k + 2/3*k**3 + q. Let h(x) = 3*x. Give h(l(w)). 12*w Let z(s) be the first derivative of 238*s**3/3 - 690. Let l(i) = -2*i**2. What is z(l(y))? 952*y**4 Let t(x) be the second derivative of x**4/2 - 9*x. Let v(k) = 11*k. Let i(f) = -2*f. Suppose 0 = 2*n - n - 34. Let q(r) = n*i(r) + 6*v(r). Give q(t(a)). -12*a**2 Let a(q) = 5*q**2 + 10. Let c(h) = 867*h - 1705*h + 840*h. Determine c(a(l)). 10*l**2 + 20 Let x(r) = 3*r. Let v be (110/(-88))/(15/(-36)*-2)*-18. Let w(g) be the third derivative of v*g**2 + 1/8*g**4 + 0*g + 0 + 0*g**3. Calculate x(w(q)). 9*q Let h(c) = 3*c. Let n(f) be the second derivative of -7*f**5/60 + 5*f**2 + 65*f. Let t(a) be the first derivative of n(a). What is t(h(u))? -63*u**2 Let z(o) = -4*o - 1. Let r(u) = 9*u + 2. Let v(m) = r(m) + 2*z(m). Let f(t) = -233*t. Determine v(f(k)). -233*k Let w(m) = -4*m**2. Let g(a) = 15427827*a. Calculate g(w(n)). -61711308*n**2 Let y(b) = -b. Let t(h) be the third derivative of 0*h**4 + 1/5*h**5 + 229*h**2 + 0*h + 1/2*h**3 + 1. Calculate y(t(z)). -12*z**2 - 3 Let k(p) = 111*p. Let a(u) = 2*u**2 + 2*u. Let d(g) = -3*g**2 - g. Let z(y) = -a(y) - 2*d(y). What is z(k(b))? 49284*b**2 Let s(b) be the first derivative of -26 - 1/2*b**2 + 0*b. Let u(a) = 4*a. Calculate u(s(z)). -4*z Let z(g) = 57488*g**2 - 30*g. Let u(c) = 12*c**2. Calculate z(u(l)). 8278272*l**4 - 360*l**2 Let p(v) = v. Let q(m) = -104618285*m**2. Determine p(q(d)). -104618285*d**2 Suppose -175*k + 169*k + 18 = 0. Let t(s) = 0*s**2 + 5*s**2 + 0*s**2 - k*s**2. Let d(v) = -2*v**2. Determine t(d(l)). 8*l**4 Let b(x) = -1133*x + 4. Let i(y) = -4*y - 1036. What is b(i(p))? 4532*p + 1173792 Let r(z) be the third derivative of z**5/60 - 53*z**3/6 + z**2. Let a(f) = -850433295*f + 850433295*f - 2*f**2. Give r(a(i)). 4*i**4 - 53 Let o(i) = 6*i. Let f(z) = -426666*z**2 + 5. Determine o(f(k)). -2559996*k**2 + 30 Let n(m) = -2*m**2 - 34*m - 11. Let t(g) = g + 242. Determine t(n(z)). -2*z**2 - 34*z + 231 Let p(v) = -v**2. Let h(g) = -14*g**2 + 201*g - 34. Let c be h(14). Let a(q) = 4*q + 1. Let r be a(4). Let n(y) = 21*y - c*y + r*y. Give n(p(d)). -2*d**2 Let l(t) = -7*t + 30*t - t - 8*t - 15*t. Let z(i) = -i - 22. Calculate l(z(k)). k + 22 Let w(m) = m + 12. Let o(k) = -8*k - 128. Let b(s) = 3*o(s) + 32*w(s). Let t(z) = 258*z. Calculate t(b(p)). 2064*p Let z(k) = -3*k**2 + 136807*k - 27. Let p(q) = q. Determine z(p(y)). -3*y**2 + 136807*y - 27 Let p(i) be the third derivative of -29*i**2 - 1/30*i**5 + 0*i - 1/2*i**3 + 0 + 0*i**4. Let z(h) = -4*h. What is p(z(f))? -32*f**2 - 3 Let c(d) = -167*d + 4. Let x(z) = 643*z - 15. Let u(q) = -15*c(q) - 4*x(q). Let f(i) = -33*i**2 + 1. Give u(f(o)). 2211*o**2 - 67 Let n(m) be the second derivative of -m**4/2 - 23*m - 7. Let w(s) = -3*s + 47. What is n(w(d))? -54*d**2 + 1692*d - 13254 Let y(x) = 112*x. Let b(c) = -148463*c**2. Calculate b(y(k)). -1862319872*k**2 Let r(p) be the third derivative of p**8/2880 - p**5/60 - 2*p**3 - 2*p**2 - 7*p. Let y(i) be the third derivative of r(i). Let w(u) = -7*u. Determine y(w(f)). 343*f**2 Let k(i) = 2*i. Let u(o) = 40*o**2 - 4. Let v(y) = -42*y**2 + 5. Suppose 0 = 2*c + 2*f - 12, 5*f + 10 = 11*c - 8*c. Let g(s) = c*u(s) + 4*v(s). Give g(k(r)). 128*r**2 Let r(t) = 4*t. Let d(q) be the first derivative of -q**6/180 + q**3/3 + 56*q + 86. Let b(s) be the third derivative of d(s). Calculate r(b(f)). -8*f**2 Let r(o) = 6*o**2 - 7152*o - 1. Let l(v) = -16*v + 86. What is l(r(q))? -96*q**2 + 114432*q + 102 Let h(x) = -231*x**2. Let a(g) = -28*g - 22*g + 48*g - 10*g. Calculate a(h(s)). 2772*s**2 Let n(o) = 3*o - 3*o + o. Suppose -4*g - 871 = -5*z, 40*z = 37*z - 4*g + 529. Let f(r) = 173*r**2 - 344*r**2 + z*r**2. What is n(f(q))? 4*q**2 Let z(q) = -17*q. Let o(l) be the second derivative of 14*l**3/3 + 1332*l. What is o(z(n))? -476*n Let j(y) = -36*y**2 + 37. Let q(s) = -4*s + 7. Calculate q(j(m)). 144*m**2 - 141 Let m(a) = -a**2 - 71. Let u(o) = -5572*o - 1. What is m(u(d))? -31047184*d**2 - 11144*d - 72 Let z(a) = -20*a**2 - 200*a - 700. Let f(i) = 2*i + 7. Let x(k) = -100*f(k) - z(k). Let w(v) = -2*v**2. What is w(x(m))? -800*m**4 Let q(i) = -242*i**2 + 10*i + 7. Let c(o) = -364*o**2 + 16*o + 12. Let y(b) = 5*c(b) - 8*q(b). Let t(r) = -r. Give t(y(j)). -116*j**2 - 4 Let x(g) = 71*g. Let q(d) = 5490*d - 64. Determine q(x(z)). 389790*z - 64 Let p(i) = 2890 - 276*i**2 - 2890. Let q(s) = 14*s + 3. Let x(g) = -33*g - 7. Let c(k) = -7*q(k) - 3*x(k). Determine p(c(w)). -276*w**2 Let p = 13 - 9. Let r(n) = p*n - 5 - 2 + 11 - 5*n. Let i(f) = f. What is r(i(k))? -k + 4 Let u(o) = o**2 - 13644*o - 111. Let i(m) = 8*m**2. Determine u(i(c)). 64*c**4 - 109152*c**2 - 111 Let p(l) be the third derivative of l**5/60 - 19*l**3/6 + 55*l**2 - 1. Let g(i) = -6*i**2 + 0*i**2 + 8*i**2. Determine g(p(c)). 2*c**4 - 76*c**2 + 722 Let w(g) = 6*g**2. Suppose 0 = 2*s - 4 - 28. Suppose -9*j + s = -5*j. Let t(d) = -j*d + 4*d + d + 0*d. Give t(w(k)). 6*k**2 Let y(v) = -25*v. Let b(l) = 29116 + 15*l**2 - 29116. What is b(y(t))? 9375*t**2 Let f(j) = -11682468*j. Let d(k) = 5*k. Determine f(d(r)). -58412340*r Let j(g) = -89*g - 1. Let n(r) = 398*r - 45. Let y(w) = 2*j(w) + n(w). Let q(c) = 2*c**2. What is q(y(m))? 96800*m**2 - 41360*m + 4418 Let o(c) = -1. Let m(q) = -2*q + 2. Let b(g) = -m(g) - 2*o(g). Let x(h) = -12*h**2 + 92*h**2 - 61*h**2 - 11*h**2. Give b(x(d)). 16*d**2 Suppose -8*k + 138 + 142 = 0. Let i(u) = -22*u - 6. Let l(f) = -260*f - 70. Let y(r) = k*i(r) - 3*l(r). Let z(v) = 0*v - v - 3*v. Determine y(z(s)). -40*s Let h(j) = 44*j**2. Let i(d) = 14*d + 62. Let p be i(-5). Let f(q) = 3*q + 16. Let l(y) = 2*y + 10. Let s(a) = p*l(a) + 5*f(a). Calculate h(s(m)). 44*m**2 Let q(m) = 5*m. Let d(a) be the first derivative of -a**6/72 - a**5/24 + 100*a**3/3 + 17. Let g(p) be the third derivative of d(p). Give g(q(r)). -125*r**2 - 25*r Let x(l) = -l**2. Let v(s) be the second derivative of 172*s**3/3 - 3440*s. Give v(x(d)). -344*d**2 Let q(f) = -110*f. Let i(w) = 345*w. Let s(n) = -144*n. Let l(x) = -5*i(x) - 12*s(x). Calculate l(q(j)). -330*j Let u(k) = -12*k**2. Let o be (4 - 45198)*(-3)/6. Let s(q) = o + 7*q - 22597. Give u(s(r)). -588*r**2 Let a(z) = 10*z**2 + 190. Let r(p) be the second derivative of -p**3/6 + 5166*p. Determine
{ "pile_set_name": "DM Mathematics" }
-2*s = -4*k + 2*k + a, -4*s + 84 = 2*k. Calculate the highest common divisor of k and 17. 17 Let l be 0*(-3)/9 + 15. Suppose 0 = -3*i + l, 0 = 3*x - 5*x - 2*i + 626. Let d be 2/(-3) - x/(-21). Calculate the highest common divisor of d and 28. 14 Suppose -15*x + 7*x + 40 = 0. Suppose 4 + 36 = 5*w + 5*n, x*n = -2*w + 1. What is the greatest common divisor of w and 104? 13 Suppose 2*b = -0*b + 24. Let z be (64/b)/((-3)/(-27)). What is the greatest common divisor of 72 and z? 24 Suppose -293*k - 1645 = -298*k. Calculate the highest common divisor of k and 21. 7 Suppose -3*f + 57 - 6 = 0. Let l = f + -8. Let i(w) = w**2 - 27*w - 79. Let a be i(32). Calculate the greatest common factor of a and l. 9 Let h be 14/(-1)*23/(-2). Suppose 10 = 2*o + 2*v, -o + 14 = 7*v + 21. Calculate the highest common factor of o and h. 7 Let c = 69 + -41. Suppose -4*s = -6*s + 2*f + c, -78 = -5*s - 3*f. Calculate the greatest common factor of s and 60. 15 Let i(s) = -s**3 - 53*s**2 + 27*s**2 + 29*s**2 + 2*s. Let n be i(3). What is the greatest common divisor of 3 and n? 3 Let m(p) = -p**3 + 8*p**2 + 8*p - 3. Let c(f) = f**3 - f**2 - f. Let u(y) = 6*c(y) + m(y). Let j be u(2). Calculate the highest common factor of 392 and j. 49 Let l(i) = -429*i + 2152. Let h be l(5). Suppose w + d = 41 - 10, -3*w - 2*d + 90 = 0. Calculate the highest common divisor of w and h. 7 Suppose g + g = 2*u + 82, -4*g - 3*u = -157. Suppose 2*h = h - 3. Let z be (0 + -16)/(3/h). What is the greatest common factor of z and g? 8 Let a = 172 + -116. Suppose -3*d = -109 - a. Suppose j + 13 - 35 = 0. Calculate the highest common divisor of j and d. 11 Let i be 13*(46 - 9) + -9. What is the greatest common divisor of i and 8? 8 Let q = -63 + 118. Suppose 3*a = 2*t - q, 35 = -a - 3*t + 7*t. Let h be (a/2 - -4)*-2. What is the greatest common divisor of h and 63? 7 Suppose 2*w = 45 + 5. Suppose 3*t = -132 + 642. Let n = t + -120. Calculate the greatest common factor of n and w. 25 Let n be (2/(-4))/(-3*11/4158). What is the highest common factor of 105 and n? 21 Let z be 281/2 - ((-32)/8)/(-8). What is the greatest common factor of z and 14? 14 Let b(j) = 25*j. Let a be b(2). Let i(r) = 52*r**2 + 34*r - 20. Let u be i(3). Calculate the greatest common factor of u and a. 50 Let c(k) = k**3 - k**2 - 6*k + 6. Let i be c(4). Suppose 8*z - i = 5*z. What is the greatest common divisor of z and 60? 10 Let u = 726 - 106. Calculate the greatest common divisor of u and 40. 20 Let n be (-1)/(-2) - (-2552)/(-48)*-3. What is the highest common divisor of 5 and n? 5 Suppose -4*z - z = -4*k - 35, 2*z - 5*k + 3 = 0. What is the highest common factor of 3 and z? 1 Let o be (-149)/(-1) - (-32 + 31). Calculate the highest common factor of 66 and o. 6 Let t(s) = s**3 - 19*s**2 - 13*s - 138. Let h be t(20). What is the greatest common divisor of 256 and h? 2 Let h be -115*-1*4/20. Let i(c) = c**2 + 4*c. Let g be i(-4). Let m be g + 322/(6/3). What is the highest common factor of h and m? 23 Let w(x) = -2*x + 13. Let d be w(-11). Let g = -1287 + 2106. Let s be g/d + (-3)/(-5). Calculate the highest common divisor of s and 8. 8 Let i be (36/10)/(12/80). What is the highest common divisor of 54 and i? 6 Suppose -2*m + 9 = m. Suppose 2*o = -m*o. Let r be (1 - (0 - o))*7. Calculate the greatest common divisor of 1 and r. 1 Suppose 8 = 3*z - 2*f, -2*f = -0*z - z + 8. Suppose -3*w + z*b + 27 = -5*b, -w + 7 = -b. Suppose 3*v - 13 = -w. Calculate the highest common factor of 1 and v. 1 Let r be 3 + -3*2 + 13. Suppose 2*o + k - 142 = 0, -270 = -4*o - 2*k + 7*k. Calculate the highest common divisor of r and o. 10 Suppose 0 = 6*r - 76 - 8. Let c be -2*(-2)/4 + 55. What is the greatest common divisor of c and r? 14 Let h be 550/6 + (-16)/24. Suppose 7 = -2*a + h. What is the highest common divisor of 14 and a? 14 Let u = -21 - -21. Suppose u = 3*o + 2*o - 200. What is the highest common factor of o and 8? 8 Let r = 491 + -7. What is the highest common factor of r and 44? 44 Let v = -571 + 581. Calculate the highest common factor of v and 190. 10 Let i(a) = -21*a**2 + 18*a**2 + 18*a**2 + 31*a**2. Let u be i(-1). Let x = -20 + u. What is the highest common factor of x and 65? 13 Let t = 30 + -33. Let z be (-5)/(25/26)*15/t. Calculate the greatest common factor of z and 26. 26 Suppose -36*k - 4*t = -32*k - 84, -t = -4*k + 99. What is the greatest common factor of 128 and k? 8 Suppose -2*z + 10 = 0, 0 = -4*h + 10*z - 5*z + 87. What is the greatest common divisor of 56 and h? 28 Let n = 471 + -458. Suppose 0 = 3*i - 4*g - 339, 233 = 4*i + g - 238. Calculate the greatest common divisor of i and n. 13 Suppose -5*z + 4*p - 89 = p, 3*p + 44 = -2*z. Let s(x) = x**3 + 20*x**2 + 16*x - 25. Let v be s(z). What is the greatest common factor of 80 and v? 16 Let u be (-3)/12 - 4515/(-28). Let a be u/2 - (-3)/6. Calculate the highest common factor of a and 27. 27 Let v(m) = m**2 + 2*m - 5. Let n be v(-6). Let f = 464 - 331. What is the greatest common factor of f and n? 19 Suppose 2*o = o + 2. Suppose s = -o*s + 126. Let f be s/4*(-4)/(-3). Calculate the highest common factor of f and 70. 14 Let m(b) be the second derivative of b**3 - 4*b**2 - 12*b. Let n be m(11). What is the greatest common divisor of 232 and n? 58 Suppose 4*z - 269 = -189. What is the highest common factor of 460 and z? 20 Let w be (6 - (-4 - 24)) + -4. What is the greatest common factor of 75 and w? 15 Suppose 9*x - 1207 = 179. Calculate the greatest common factor of 14 and x. 14 Suppose 2*y = -3*p + 370, -2*p = -y - p + 190. What is the highest common factor of 47 and y? 47 Suppose -1023 = -2*f + 3395. What is the highest common factor of f and 47? 47 Let o(p) = -p**2 - 30*p + 42. Let y be o(-31). Calculate the highest common factor of 968 and y. 11 Suppose -48*b + 8828 - 1964 = 0. Calculate the highest common factor of 104 and b. 13 Let d = -742 + 521. Let h = 477 + d. What is the highest common divisor of h and 32? 32 Suppose -2*s + 5*z = -0*z + 14, 0 = 5*z - 10. Let w be ((-330)/3)/s*14/5. Calculate the highest common factor of w and 22. 22 Let n(f) = 2*f + 7. Let m be n(5). Suppose 0 = 3*b - 166 - 41. Let w be (1 - (-10)/(-5)) + b. What is the greatest common factor of w and m? 17 Suppose 7*s - 3*s + 664 = 0. Let h = s - -276. Suppose y + i - 6 = 16, 5*y = 3*i + 110. What is the greatest common factor of h and y? 22 Let l(k) = 18*k**2 - k + 2. Let s be l(2). Let g be (14/(-21))/((-2)/39). Let t = g + -5. What is the highest common factor of s and t? 8 Let t = -31 + 34. Suppose 2*v = -2*w + 92 + 480, 2*v = -t*w + 858. Calculate the highest common divisor of 26 and w. 26 Suppose 0*f - 3*f = -3*g + 447, -2*g - 5*f = -270. Suppose -4*m + 5*m = g. What is the greatest common factor of 58 and m? 29 Let c be (-2)/4 - 610/(-20). Let g be -44 + 5 + 9/(-3). Let z = -30 - g. Calculate the highest common divisor of c and z. 6 Let q be 47/((-188)/(-2520)) - 7. Calculate the highest common divisor of q and 28. 7 Suppose -5*g + 17 = -123. Let p be -16*g/(-12)*(-144)/(-14). What is the greatest common factor of 48 and p? 48 Let n(v) = 2 - 4*v - 8*v**3 + 3*v**2 + v**3 + 8*v**3 + 2*v**2. Let u be n(-5). Calculate the highest common factor of 44 and u. 22 Suppose -66 + 276 = 6*y. What is the highest common divisor of y and 5? 5 Let s(o) = -10*o - 2. Let i be s(-2). Let z = 18 - 18. Let g be 6 - (0 + z - 0). Calculate the greatest common divisor of i and g. 6 Suppose 0 = -35*r - 834 + 2794. Calculate the greatest common divisor of 644 and r. 28 Let d = -8 + -19. Let r be (5 - -1)*d/(-18). Suppose -4*s + 91 = -305. What is the greatest common divisor of r and s? 9 Let i(q) = 11*q + 231. Let s be i(-20). What is the highest common divisor of 176 and s? 11 Suppose 0 = 68*w - 40*w - 4508. What is the highest common divisor of w and 7? 7 Let m be (-4 + 0)/(1/(-5)). Suppose m + 10 = 5*a. Suppose -b + 20 = a. What is the greatest common divisor of b and 70? 14 Let k be 18*(-9)/36*(-170)/3. What is the highest common divisor of 51 and k? 51 Let k(d) be the second derivative of 11*d**4/6 - 2*d**3/3 - 3*d**2/2 - 2*d + 7. Let v be k(-1). Let b = 51 - 28. What is the greatest common factor of v and b? 23 Let v = 330 - 42. Calculate the highest common factor of 792 and v. 72 Let i(k) = k**2 - 6*k - 11. Le
{ "pile_set_name": "DM Mathematics" }
u**2 + 127*u + 5. Let l(s) = -s**2 - 25*s - 1. Give k(b) + 5*l(b). -91*b**3 + 7*b**2 + 2*b Let r(u) be the first derivative of u**4/2 + 13*u**2/2 - 1. Let a = -35095 - -35089. Let l(o) = -o**3 - 6*o. What is a*r(m) - 13*l(m)? m**3 Let s(t) = 4*t - 1. Let f(w) = 372 - 4*w - 120 - 123 - 128. Give 3*f(i) + 2*s(i). -4*i + 1 Let t(f) = 14*f**2 + f + 1. Let n(d) = 14*d**2 + 6*d - 1. Calculate -n(h) + 6*t(h). 70*h**2 + 7 Let q(m) = 26*m**2 - 10*m + 6. Let p(v) = -8*v**2 + 3*v - 2. Let h(b) = 20*p(b) + 6*q(b). Let n(i) = 8*i**2 + 9. Give 7*h(a) + 3*n(a). -4*a**2 - 1 Let v = 15338 + -15342. Let h(x) = -3*x + 9. Let p(l) = -4*l + 10. What is v*p(o) + 5*h(o)? o + 5 Let w(s) = -4*s + 3. Let j(h) = 23*h - 23. What is j(d) + 5*w(d)? 3*d - 8 Suppose 5*o - 1 = 19. Let t(i) be the third derivative of -i**6/24 + 2*i**3/3 + 24*i**2 + 12*i + 2. Let u(k) = -4*k**3 + 3. What is o*u(p) - 3*t(p)? -p**3 Let h(z) = -7*z - 21. Let k(l) = -7. Give h(q) - 2*k(q). -7*q - 7 Let n(x) = -4*x**2 + x - 2. Suppose 0 = 7*a - 2*a - 10. Let y(u) = -5*u**2 + 2*u - 3. Let r be (840/360)/(7/(-9)). Determine a*y(q) + r*n(q). 2*q**2 + q Let h(v) = 9*v**3 - 4*v**2 - 270*v. Let a(x) = 2*x**3 - x**2. Give -4*a(g) + h(g). g**3 - 270*g Let k(z) = -z**3 + z**2 - 8*z + 1. Let q(v) = -24*v**3 + v**2 + 28*v - 3. Give -3*k(r) - q(r). 27*r**3 - 4*r**2 - 4*r Suppose 0 = 2*s + 2*d - 6 - 2, 5*d = 25. Let l(n) be the third derivative of n**4/24 + 15316*n**2. Let b(o) = -3*o - 10. What is s*b(u) - 2*l(u)? u + 10 Let o(x) = 5*x + 1. Let a(z) = 18*z - 91. Calculate a(v) - o(v). 13*v - 92 Let f(h) = -26*h**2 - 9*h + 5. Let s(q) = 74*q**2 + 26*q - 17. Determine 17*f(o) + 6*s(o). 2*o**2 + 3*o - 17 Let o(w) = -11*w**3 + 5*w**2 + 5*w + 5. Let s(a) = -a**3 - a**2 - a - 1. Let q(k) = -k**2 - 22*k + 5. Let c be q(0). Determine c*s(b) + o(b). -16*b**3 Let k = 3169 + -3170. Let p(n) = n**3 + 6*n**2 + n - 4. Let s(c) = -c**2 - c + 1. Give k*p(g) - 4*s(g). -g**3 - 2*g**2 + 3*g Let c(g) = 2*g**3 - 52*g**2 + 4*g - 9. Let o(r) = -2*r**3 + r**2 - 3*r + 1. Calculate -c(z) - 2*o(z). 2*z**3 + 50*z**2 + 2*z + 7 Let j(c) = -9*c. Let l(g) = -19*g. Suppose 4*f = -3*w + 6, -5*w - 34*f + 10 = -39*f. Suppose b - 7*b - 30 = 0. What is b*j(y) + w*l(y)? 7*y Let j(r) = 262*r**2 - 11*r + 61. Let h(p) = 133*p**2 - 6*p + 24. Determine -5*h(i) + 2*j(i). -141*i**2 + 8*i + 2 Let j(s) = 4*s**2 - 7*s - 2. Let l(p) = 2*p**2 - 69*p + 296. Let u be l(5). Let x(y) = -y**2 + y. Give u*j(i) + 3*x(i). i**2 - 4*i - 2 Let h(f) = -3*f - 2. Let v(s) = -s**2 - 27*s - 112. Let n be v(-5). Let t(l) = 4*l + 1. Give n*h(i) - 3*t(i). -6*i + 1 Let a(v) = 2. Let u = 2 - 4. Let q = -179959 + 179958. Let s(d) = -d. Calculate q*a(l) + u*s(l). 2*l - 2 Let j(x) = -6*x**2 + 7*x + 7. Let m(y) = -5*y**2 + 7*y + 6. Suppose 0 = -128*h + 43*h - 595. Give h*m(d) + 6*j(d). -d**2 - 7*d Let m(g) = -7*g**3 + 5*g**2 - 5*g. Let i(o) = 3*o**3 - 2*o**2 + 2*o. Let x = 13792 + -13797. Let r be ((-4)/10)/(2/10). Determine r*m(u) + x*i(u). -u**3 Let c(y) = 45*y**3 + 11*y - 6. Let r(d) = 9*d**3 + 2*d - 1. Let x(b) = b**3 - 7*b**2 - 7*b - 6. Let l be x(8). Determine l*c(s) - 11*r(s). -9*s**3 - 1 Let x(k) = -5*k**2 + 3*k - 1. Let z(m) = -m**2 - m. Let c = 157 - 155. Suppose 13*u - 9*u + 4 = 0, -c*t + u = 1. Determine t*x(o) - 3*z(o). 8*o**2 + 1 Suppose 82 = -6*l - 3194. Let t = l + 548. Let f(s) = -s + 1. Let j(c) = -3*c + 1. Determine t*f(n) - j(n). n + 1 Let p(w) = -1. Suppose 4*i - 4 = 3*d + 4, 4*d = i + 11. Let j be 1*(-2)/d*(7 - -1). Let m(t) = -5*t + 3*t + 5 - t. Determine j*p(x) - m(x). 3*x - 1 Let p(r) = -2*r + 2. Let o(q) = 54*q + 281. Let h be o(-5). Let t(j) be the second derivative of j**4/12 + 3*j**3/2 - 11*j**2/2 - 4*j. Give h*p(x) + 2*t(x). 2*x**2 - 4*x Let l(t) be the third derivative of t**6/120 - t**3/6 - 10*t**2 + 80. Let m(j) = -j - 2*j**2 + 0*j**2 - 83*j**3 - 6 + 90*j**3. Calculate 6*l(w) - m(w). -w**3 + 2*w**2 + w Let v(s) = -s + 13. Let g(z) = -354*z + 101. Determine g(i) - 8*v(i). -346*i - 3 Let q(x) = 210*x. Let j(u) = 38*u + 1. Let h be j(2). Let l(v) be the third derivative of 11*v**4/24 - 21*v**2 + 7*v + 8. Calculate h*l(k) - 4*q(k). 7*k Let x(g) = -10*g**2 - 4*g + 12. Let t(z) = 19*z**2 + 7*z - 28. Calculate -3*t(i) - 5*x(i). -7*i**2 - i + 24 Let g(p) = 2*p**2 + 4*p + 8. Let y(d) = -5*d**2 - 7*d - 15. Let u(c) = -6*c + 33. Let a be u(5). Give a*y(x) + 5*g(x). -5*x**2 - x - 5 Suppose -35*i - 50*i = 170. Let p(d) = -d**2 + 4. Suppose -2*t + 8 = -2*m, t + 4*m = 2*m - 2. Let g(b) = 1 + 3 - t - 5. Determine i*p(c) - 3*g(c). 2*c**2 + 1 Let p(q) = 6*q**2 - 124*q + 402. Let n be p(4). Let k(i) = -i**2 + i + 1. Let o(w) = 2*w**3 - 2*w**2 - w + 1. What is n*k(f) - o(f)? -2*f**3 + 3*f + 1 Let x(v) = 28*v + 21. Let l(j) = -2*j + 20*j + 0 + 14. Let h(n) = 8*l(n) - 5*x(n). Let o(q) = -1. Determine h(a) + 6*o(a). 4*a + 1 Let w(n) = n + 1. Let u(l) = -293*l - 62. Let f(t) = -28*t - 6. Let k(z) = -21*f(z) + 2*u(z). What is -3*k(s) + 7*w(s)? s + 1 Let k(x) = -10*x + 16. Suppose -264 = -3*a - 5*a. Let y(d) = -2*d + a - 5 - 25. Calculate 3*k(c) - 16*y(c). 2*c Let p(w) = 16*w**2 + w + 2. Let q(k) = k**2 - 5*k - 2. Let g(j) = -42*j**2 - 28*j - 17. Let o(x) = g(x) - 5*q(x). Determine 4*o(t) + 14*p(t). 36*t**2 + 2*t Let p(k) = 51*k. Let o(z) = -5*z. Let m be (-160)/76 + 2 - (-800)/19. Suppose -y = -2 - 2. Let f be ((-16)/(-4))/y*4. Give f*p(b) + m*o(b). -6*b Let v(n) = 14361*n + 64. Let t(x) = -x + 33. Give 2*t(u) - v(u). -14363*u + 2 Let p(k) = 2*k**3 - 9*k**2 + 453*k - 2205. Let t be p(5). Let c(f) = -2 - 1 + 3 + f. Let b(d) = 15*d. What is t*c(x) - 6*b(x)? -5*x Let i(z) = z**3 + z**2 - z + 1. Let q(u) = -31*u + 131. Let y be q(4). Suppose -y*r + 10 + 4 = 0. Let a(j) = -j**3 - 2*j**2 - 7*j - 2. Determine r*i(s) + a(s). s**3 - 9*s Let v(n) = 20837*n - 7. Let b(i) = 10433*i - 3. Calculate -14*b(d) + 6*v(d). -21040*d Let o(v) = 35*v - 29. Let z(n) = 103*n - 87. Calculate 7*o(b) - 2*z(b). 39*b - 29 Let t(u) = 2*u**2 + 21*u - 9. Let r(o) = -3*o + 2. Give -2*r(f) - t(f). -2*f**2 - 15*f + 5 Let w(a) = -15*a**3 - 15*a**2 + 6*a - 226. Let s(h) = 28*h**3 + 27*h**2 - 11*h + 450. Calculate 6*s(k) + 11*w(k). 3*k**3 - 3*k**2 + 214 Let q(y) = 263*y**3 + 17*y**2 + 101*y - 9. Let c(t) = 66*t**3 + 4*t**2 + 23*t - 2. What is 9*c(u) - 2*q(u)? 68*u**3 + 2*u**2 + 5*u Let r(j) = -11792*j**2 - 25*j - 5. Let d(g) = 64857*g**2 + 135*g + 27. Determine 5*d(w) + 27*r(w). 5901*w**2 Let m(s) = 2*s**3 + 2*s**2 - 3*s. Let x(a) = 5187*a**3 + 14*a**2 - 21*a. Give 14*m(r) - 2*x(r). -10346*r**3 Let j(h) = h**2 + 452 - 120 - 12*h**3 - 336. Let t(c) = c**3 + 1. What is j(x) + 4*t(x)? -8*x**3 + x**2 Let d be ((-130)/(-30) - 3)/(4/18). Let s(b) = -8*b**2 + 7*b + 8. Let h(f) = -23*f**2 + 20*f + 23. Give d*h(u) - 17*s(u). -2*u**2 + u + 2 Let s(l) = 15*l + 1. Let i(f) = 151*f - 108. Calculate i(b) - 10*s(b). b - 118 Let y = 186 - 154. Let v(b) = -4 + y*b**2 + 20*b + 17*b - 34*b**2 - 38*b. Let d = -2 + -4. Let w(c) = -2*c**2 - c - 5. What is d*w(i) + 7*v(i)? -2*i**2 - i + 2 Let n(g) = -6*g**2 - 4*g + 460. Let p(k) = -2*k**2 - k + 112. Give 4*n(j) - 15*p(j). 6*j**2 - j + 160 Let a be (-1 + -2)/(15/(-15)). Let l(i) = 11*i + 6*i + 4*i**2 - 16*i + a*i + 3. Let j(c) = 7*c**2 + 7*c + 5. Calculate 6*j(t) - 11*l(t). -2*t**2 - 2*t - 3 Let v(s) = -s**3 - 2*s**2 - s - 8. Let l(q) = -q**3 + 2*q**2 + 134*q + 18. Determine l(z) + 2*v(z). -3*z**3 - 2*z**2 + 132*z + 2 Let t(y) = -5*y**3 + y**2 - y + 1. Let q(f) = -3230*f**3 + 68*f**2 - 68*f + 68. Give q(n) - 68*t(n). -2890*n**3 Let s(g) = -2*g**2 - 5286*g + 2. Let l(d) = -4*d + 1. What is -2*l(m) + s(m)? -2*m**2 - 5278*m Let x(j) = j**2 + 1. Let d(h) be the first derivative of h**3 + 17*h + 1032. Determine -d(k) + 4*x(k). k**2 - 13 Let u(o) = -11*o + 10*o + 14816 - 5*o - o**2 - 14809. Let m(d) = -5*d + 6. Give 6*m(s) - 5*u(s). 5*s**2 + 1 Let g(i) = 28*i**2 + 1. Let j(u) = 53*u**2 - 801. Determine 2*g(z) - j(z). 3*z**2 + 803 Let p(d) = 5*d**3 + 29*d**2 - 4*d + 9. Let m(q) be the second derivative of q**5/20 + 7*q**4/12 - q**3/6 + q**2 - 2710*q + 2. Give -9*m(g) + 2*p(g). g**3 - 5*g**2 + g Let m(f) = -3227*f**3 + 6*f**2 - 6*f + 80. Let c(q) = 6453*q**3 - 13*q**2 + 13*q - 173. What is 6*c(h) + 13*m(h)? -3233*h**3 + 2 Let s(n) be the second derivative of 1/6*n**4 + 19/2*n**2 + 120*n - 7/6
{ "pile_set_name": "DM Mathematics" }
-184, 0.01, 0.1? 0.01 Which is the biggest value? (a) 3/4 (b) 14 (c) 5/3 (d) -5.8 (e) -5 (f) 0.19 b Which is the fourth smallest value? (a) 6 (b) -1 (c) -3 (d) 12/11 (e) -20/7 d What is the second smallest value in -5, 2/25, 0.3, 16666, 0? 0 What is the second biggest value in -19.8, -18, 3, -3, -1? -1 What is the second biggest value in 0, 6, 7, -132, 14/5? 6 What is the third biggest value in 1731, 0.2, 1, 2/7? 2/7 What is the fourth biggest value in 0.1216, -17, 5, -1/3? -17 What is the biggest value in 4.173, -1, 14? 14 What is the fourth smallest value in 2/5, -59/6, -1/5, 4, -3? 2/5 What is the fourth biggest value in -13/7, 0.08, 0.06, -5, -0.1, -3? -13/7 Which is the third biggest value? (a) 6 (b) 1/3 (c) -1/4 (d) 0.4 (e) -7/5 (f) 1 d What is the second smallest value in 8/35, 6, 3/8, 3, 2/9? 8/35 What is the third biggest value in 0.0648, -2/3, -2, -0.2? -2/3 What is the biggest value in -2/13, 0.1, 11.89, -0.2, -4/5? 11.89 Which is the biggest value? (a) -12 (b) 18 (c) 126/5 (d) 5 c Which is the biggest value? (a) 4 (b) 0.1 (c) -0.1 (d) -1434 a Which is the sixth biggest value? (a) -0.3 (b) 0.3 (c) 1/8 (d) -0.7 (e) 2174 (f) 2/19 d What is the fourth biggest value in 3, -5, 47, -2/7, 0.48? -2/7 What is the biggest value in 25, 1/2, 0.09, -1? 25 What is the fourth biggest value in -10, -38.4, -4, -5? -38.4 What is the third smallest value in -0.04, -0.02, -104/245? -0.02 What is the third smallest value in 1, 2, -21? 2 What is the third biggest value in -11/3, -0.6, 0.14? -11/3 What is the fourth biggest value in 567, -4, 3/2, 0.5? -4 Which is the second biggest value? (a) 495 (b) -4 (c) -2 c Which is the biggest value? (a) -1 (b) -4 (c) 3 (d) -5230 c Which is the second biggest value? (a) 6 (b) 35/4 (c) 28 (d) -0.5 (e) -1/8 (f) 4 b What is the second biggest value in -7, -16, 5/6, 91? 5/6 Which is the second smallest value? (a) 2/7 (b) 13 (c) -525 (d) -5 d What is the fourth biggest value in -0.66, 228, 1, 0? -0.66 What is the third biggest value in 8, 9/7, -0.2, 0? 0 What is the second smallest value in -4, 6731, -3/8? -3/8 Which is the third smallest value? (a) -8 (b) -4 (c) -3 (d) 4/25 (e) 1/8 c Which is the second smallest value? (a) -1/7 (b) 0.5 (c) -5 (d) -2/201 (e) 0.2 a What is the third smallest value in -0.26, -926, -0.2? -0.2 Which is the second smallest value? (a) 0 (b) 2 (c) 2/9 (d) 69.7 (e) 0.14 (f) 5 e What is the second biggest value in 0.1, 9, -59/2, -1? 0.1 Which is the third smallest value? (a) 0.313 (b) -2/9 (c) 11 (d) 18 c Which is the biggest value? (a) 3.4 (b) -2/75 (c) 3/28 a Which is the third smallest value? (a) 7 (b) 2 (c) 133 (d) 2/15 (e) -0.19 b What is the third smallest value in 0.082, -3/5, 3? 3 Which is the fourth biggest value? (a) 0.3 (b) 82 (c) -24 (d) 42 (e) 0.5 a What is the fifth smallest value in -3, -39.5, 8, 1, 4, -0.5? 4 Which is the second smallest value? (a) -3/2 (b) 3/7 (c) 99 (d) 59 (e) -2/7 e Which is the biggest value? (a) 5 (b) 46356 (c) 4 b Which is the third biggest value? (a) -111 (b) 1/7 (c) -11 (d) -1 c What is the smallest value in 6/11, -94, -3? -94 What is the second smallest value in -59/3, -0.4, 2/15, -167? -59/3 Which is the fourth smallest value? (a) -22 (b) 0 (c) -5/3 (d) 13 (e) -5 b What is the fourth smallest value in -282, 15, 2/3, -0.8? 15 Which is the fourth biggest value? (a) 0.2 (b) 83 (c) -9 (d) -1 (e) 4/3 d Which is the second smallest value? (a) -1/4 (b) 0.04 (c) -4 (d) 2 (e) 0.08 a What is the smallest value in 4, -31/15, -357? -357 What is the third biggest value in 2, 374, 95? 2 Which is the second smallest value? (a) -15 (b) 3/5 (c) -2/3659 c What is the second biggest value in 255.14, 1/4, -1? 1/4 What is the second biggest value in 0.7, -0.3, 0.1, -6624, 1? 0.7 What is the second biggest value in -2/7, -0.4, -20, 16, -1/156? -1/156 Which is the second smallest value? (a) 204 (b) 0.1 (c) 0.6 (d) -4 (e) 1 b Which is the biggest value? (a) -2 (b) 2 (c) 2/181 (d) 4 d What is the third smallest value in 8, -4, 0.05, 577? 8 What is the fourth biggest value in 0.2, 0.4, 3, -1/6080? -1/6080 What is the fourth biggest value in -1/172, -17, -5, 3? -17 What is the fourth smallest value in -4, -4/7, -0.3, 4, -2? -0.3 What is the third smallest value in 26/5, -3, -0.37, -11, 2? -0.37 Which is the third smallest value? (a) -0.5 (b) -6/5 (c) 2393 c What is the third smallest value in 0, 4/5, 2, -9, 0.26, -7? 0 Which is the second biggest value? (a) 1/2 (b) -0.2 (c) -12/13 (d) -0.3 (e) 56 a What is the third biggest value in 8/41, 0, 14, -6/19? 0 What is the third smallest value in -0.2, -18, 1060? 1060 Which is the fourth smallest value? (a) -4 (b) -0.4 (c) -3/19 (d) -162 (e) 3 (f) -2/7 f What is the smallest value in -310, 17, -13? -310 What is the fourth biggest value in 3/5, -2/25, -0.1, -3/8, -33? -3/8 Which is the third smallest value? (a) 0.3 (b) -5/17 (c) -0.4 (d) 110 (e) -2 b Which is the biggest value? (a) -10 (b) -1625 (c) -0.02 c Which is the third biggest value? (a) -10 (b) -575 (c) 3/5 (d) -0.4 (e) 4/7 d Which is the sixth biggest value? (a) -11 (b) -217 (c) 0.07 (d) -1/4 (e) -4 (f) -3 b What is the third smallest value in 3.064, 0.1, -2/11? 3.064 Which is the third smallest value? (a) 0.5 (b) 0 (c) -3 (d) -0.2 (e) -42 (f) 926 d Which is the fourth biggest value? (a) 2.7 (b) -0.2 (c) 5/4 (d) -1/7 (e) -34 b What is the smallest value in -2/9, -20, 103, 47? -20 Which is the third smallest value? (a) 10.3 (b) -9/8 (c) 3 (d) 2 (e) -3 (f) -2/3 f Which is the smallest value? (a) 0.1 (b) 1/12 (c) 0.255 (d) -3 (e) 5 d What is the fourth smallest value in 0.3, 23.3, -0.3, -2/9? 23.3 Which is the second smallest value? (a) 1/3 (b) 0.9 (c) 0.02705 (d) -1 c What is the third smallest value in -10, 713, -1/3, 0.3, -1? -1/3 What is the sixth smallest value in -0.02, -69, 4, -0.1, 0.4, 8/7? 4 What is the third smallest value in 132, 3, 5/548, 0? 3 Which is the second smallest value? (a) 5 (b) -0.5 (c) 4 (d) -0.6 (e) -3 d What is the smallest value in -5, -2/5, 24.27, 5? -5 What is the smallest value in -1/4, 0.5, -224744? -224744 Which is the second biggest value? (a) 115 (b) 7/8 (c) -9 b What is the fourth smallest value in 2/31, 4, -59, 9/7? 4 Which is the sixth smallest value? (a) 4 (b) -2/7 (c) -1/28 (d) -0.1 (e) 0.3 (f) 1/11 a What is the third biggest value in -1/12, 1, 0.82? -1/12 Which is the sixth smallest value? (a) -6 (b) -0.2 (c) 234 (d) -3 (e) -33/4 (f) -0.4 c What is the smallest value in 7, 801, -17.8? -17.8 What is the biggest value in -3/2, -2/21, 5, -42? 5 Which is the fifth biggest value? (a) -0.4 (b) 2/153 (c) -0.1 (d) -8 (e) -1/3 d Which is the third biggest value? (a) 0.1 (b) -1/8 (c) 2/5 (d) -7 (e) -0.5 b Which is the second smallest value? (a) 1 (b) 13/20 (c) 3 (d) 2/15 (e) 4 b What is the third smallest value in 0, 205, 2/11, 5, -4? 2/11 Which is the second smallest value? (a) 18984 (b) -3/5 (c) -2/15 c Which is the smallest value? (a) 1/5 (b) 0.1 (c) -0.8 (d) -1580 d What is the second smallest value in 1/5, -189/16, -0.4, -0.3, -2/7? -0.4 What is the fifth biggest value in 3/7, -7, -402, 1/28, -4? -402 What is the fourth biggest value in -70, -4, -625, -3/5, -5? -70 What is the second smallest value in -1, 4, 442, -0.6? -0.6 What is the smallest value in -3, 2, -0.12, 2.6, -1? -3 What is the smallest value in 3, 113, -1.2, -3/13? -1.2 What is the third smallest value in 0.07, 1135, -5? 1135 What is the smallest value in 4, -3, 16338? -3 What is the second biggest value in -14, -4, 0.3, -6, 10? 0.3 Which is the second smallest value? (a) 183 (b) 0 (c) 1/47 c What is the second smallest value in -5, 20, 2, -0.5, -520, 0.09? -5 What is the third biggest value in -0.06, -1/4, -5, 0.2, 1, 3/5? 0.2 What is the fourth smallest value in 2/13, 161, -12.5, 2/5? 161 What is the smallest value in -3, -4, 4, 0.07, -0.4, -777? -777 What is the second smallest value in -0.11, -3892, -0.2? -0.2 What is the second biggest value in 0.06, 6, 36, 32? 32 Which is the fourth smallest value? (a) -0.3 (b) 0.04 (c) 2 (d) -2/9 (e) -47 b What i
{ "pile_set_name": "DM Mathematics" }
out replacement from {v: 7, b: 2}. Give prob of sequence bvb. 1/36 Three letters picked without replacement from rererreereeeeeee. What is prob of sequence rrr? 1/56 Calculate prob of sequence jx when two letters picked without replacement from {j: 1, m: 3, t: 1, r: 1, x: 6, z: 5}. 3/136 What is prob of sequence jj when two letters picked without replacement from {f: 6, j: 4}? 2/15 Two letters picked without replacement from {c: 4, y: 1, o: 3}. What is prob of sequence co? 3/14 Three letters picked without replacement from cyccccy. What is prob of sequence cyc? 4/21 What is prob of sequence aj when two letters picked without replacement from {a: 14, j: 1}? 1/15 Two letters picked without replacement from vvvjjqdvhjdqdvk. Give prob of sequence jv. 1/14 What is prob of sequence ec when two letters picked without replacement from {u: 3, m: 1, c: 1, v: 8, e: 1, i: 2}? 1/240 Calculate prob of sequence re when two letters picked without replacement from ereecereeeeccee. 2/21 Calculate prob of sequence fsl when three letters picked without replacement from {l: 1, d: 3, f: 4, s: 9, y: 2}. 2/323 What is prob of sequence uf when two letters picked without replacement from frfui? 1/10 Four letters picked without replacement from {n: 5, r: 3, e: 1}. Give prob of sequence ernr. 5/504 Calculate prob of sequence ii when two letters picked without replacement from iyyiiyoiciooc. 5/39 Calculate prob of sequence fzgk when four letters picked without replacement from {g: 1, f: 1, z: 2, k: 4, o: 1}. 1/378 Three letters picked without replacement from clfljkcfcbfc. Give prob of sequence jbl. 1/660 Two letters picked without replacement from {j: 1, p: 7, b: 3, u: 2, i: 4}. What is prob of sequence pb? 21/272 What is prob of sequence cc when two letters picked without replacement from ccc? 1 What is prob of sequence nnp when three letters picked without replacement from {n: 2, f: 5, p: 7}? 1/156 Three letters picked without replacement from {f: 2, l: 2}. Give prob of sequence fll. 1/6 Calculate prob of sequence buss when four letters picked without replacement from usssubwusbk. 1/110 Calculate prob of sequence bz when two letters picked without replacement from pbnnz. 1/20 Three letters picked without replacement from prlrr. Give prob of sequence rrp. 1/10 Three letters picked without replacement from lhhrrrr. What is prob of sequence lrr? 2/35 Three letters picked without replacement from llfpllflmpllllpllll. What is prob of sequence flm? 13/2907 What is prob of sequence ez when two letters picked without replacement from {z: 4, e: 3, v: 1}? 3/14 Three letters picked without replacement from uklllksl. What is prob of sequence lkl? 1/14 Four letters picked without replacement from zkzlzzzklkzlllkzz. Give prob of sequence kklk. 1/476 Calculate prob of sequence wb when two letters picked without replacement from {q: 1, w: 2, c: 4, x: 1, b: 1}. 1/36 What is prob of sequence hahx when four letters picked without replacement from hpkkhaxp? 1/840 What is prob of sequence aawk when four letters picked without replacement from awwkaaaakakkkkwakk? 7/510 Calculate prob of sequence ktk when three letters picked without replacement from {k: 7, t: 2}. 1/6 Two letters picked without replacement from {g: 2, b: 1}. Give prob of sequence gb. 1/3 Calculate prob of sequence xxxg when four letters picked without replacement from ssgxgxxssssssx. 2/1001 Calculate prob of sequence uk when two letters picked without replacement from rvkkvkmmuvb. 3/110 What is prob of sequence ycc when three letters picked without replacement from {c: 9, y: 11}? 11/95 Three letters picked without replacement from {b: 1, i: 4, m: 2, g: 2, x: 3, t: 2}. Give prob of sequence tix. 1/91 Three letters picked without replacement from edexxxdxdddx. What is prob of sequence ded? 1/33 Four letters picked without replacement from {z: 4, f: 3}. What is prob of sequence zzzz? 1/35 Two letters picked without replacement from gzzgzlzlzzzggzgzg. What is prob of sequence gg? 15/136 Four letters picked without replacement from {i: 1, k: 2, f: 3, y: 1, w: 3}. Give prob of sequence ikww. 1/420 Four letters picked without replacement from {g: 5, y: 2}. What is prob of sequence gyyg? 1/21 What is prob of sequence mmm when three letters picked without replacement from {m: 6}? 1 What is prob of sequence dxa when three letters picked without replacement from {d: 6, a: 2, u: 5, x: 1, o: 1, k: 5}? 1/570 What is prob of sequence uup when three letters picked without replacement from uubbbuup? 1/28 Three letters picked without replacement from ihiirhh. What is prob of sequence hii? 3/35 Three letters picked without replacement from erededex. Give prob of sequence exr. 1/84 What is prob of sequence fk when two letters picked without replacement from {f: 2, k: 2, s: 4, h: 2, n: 4}? 2/91 What is prob of sequence kckk when four letters picked without replacement from kpkkpcppppppk? 1/715 Calculate prob of sequence wyw when three letters picked without replacement from {u: 1, y: 1, f: 2, w: 2}. 1/60 Four letters picked without replacement from {y: 4, x: 3, i: 4, l: 2, o: 1, t: 1}. Give prob of sequence lxxl. 1/2730 Two letters picked without replacement from kijiqjvvqqiiviiqtvvi. Give prob of sequence vv. 1/19 Four letters picked without replacement from kjjjjjkjjjkkjkfkjj. Give prob of sequence jkjf. 11/1224 Two letters picked without replacement from fhlhkal. Give prob of sequence fk. 1/42 What is prob of sequence zs when two letters picked without replacement from {q: 2, u: 1, s: 4, z: 3, h: 4, n: 1}? 2/35 Four letters picked without replacement from {o: 1, p: 2, a: 3, e: 1, n: 3, c: 1}. What is prob of sequence aaoe? 1/1320 What is prob of sequence bouu when four letters picked without replacement from oslssbousursou? 3/4004 What is prob of sequence dss when three letters picked without replacement from {d: 12, s: 3}? 12/455 Two letters picked without replacement from {y: 3, z: 13}. What is prob of sequence zy? 13/80 Three letters picked without replacement from {t: 1, h: 1, q: 1, z: 2, m: 1, f: 2}. Give prob of sequence mft. 1/168 What is prob of sequence py when two letters picked without replacement from {i: 2, p: 1, y: 6, o: 1, g: 5}? 1/35 Calculate prob of sequence gv when two letters picked without replacement from {p: 1, h: 1, v: 2, c: 1, x: 2, g: 1}. 1/28 Calculate prob of sequence uou when three letters picked without replacement from uoouuouuoouu. 7/44 Two letters picked without replacement from ffffffifi. Give prob of sequence if. 7/36 Three letters picked without replacement from {t: 2, w: 6}. Give prob of sequence wtw. 5/28 Four letters picked without replacement from {o: 1, t: 1, z: 1, f: 1, i: 1}. What is prob of sequence ztof? 1/120 Calculate prob of sequence dd when two letters picked without replacement from {i: 4, t: 4, d: 2}. 1/45 Four letters picked without replacement from {c: 7, l: 8, d: 4, f: 1}. What is prob of sequence flcl? 49/14535 Two letters picked without replacement from sxqsxqsuxs. Give prob of sequence xx. 1/15 Calculate prob of sequence nsss when four letters picked without replacement from {s: 3, n: 1}. 1/4 Two letters picked without replacement from oooloqoqoooooqoqlolo. Give prob of sequence qo. 13/95 What is prob of sequence wqm when three letters picked without replacement from mwwqwrkkwqqqqkmq? 1/70 Two letters picked without replacement from {c: 5, s: 1, n: 2, o: 1}. What is prob of sequence no? 1/36 What is prob of sequence ee when two letters picked without replacement from {w: 1, t: 2, z: 6, e: 3}? 1/22 Calculate prob of sequence aqyn when four letters picked without replacement from {u: 2, n: 1, a: 2, q: 1, y: 1}. 1/420 What is prob of sequence hs when two letters picked without replacement from bhxsi? 1/20 Three letters picked without replacement from {l: 2, v: 4}. What is prob of sequence vlv? 1/5 Two letters picked without replacement from {a: 2, o: 5}. What is prob of sequence aa? 1/21 What is prob of sequence wp when two letters picked without replacement from phphpwpphkhpphph? 1/30 Calculate prob of sequence bbbb when four letters picked without replacement from {r: 16, b: 4}. 1/4845 Calculate prob of sequence mte when three letters picked without replacement from {t: 7, e: 8, m:
{ "pile_set_name": "DM Mathematics" }
+ 56459 - 28228 - 13722*a as y + r*a and give r. -13722 Rearrange -367*n**3 + 617*n**3 - 252*n**3 - 2 + 2*n**2 + 9*n**4 - 8*n to the form u*n + p*n**3 + l*n**2 + x + v*n**4 and give v. 9 Rearrange (4 - 5 + 3)*(0 + 3 - 5)*(4*f - 2*f - 5*f) + (9 + 8 - 10)*(12*f + 7*f + 6*f) to s*f + m and give s. 187 Express -4*t + t**4 - 23*t**3 - 22*t**3 - 1 + 100*t**3 - 53*t**3 - 22*t**2 in the form z*t**3 + c*t + q + g*t**4 + j*t**2 and give j. -22 Rearrange -80*g - 1 + 2*g**3 - 2466*g**2 + 1236*g**2 + 1228*g**2 to the form p*g + x + m*g**2 + l*g**3 and give p. -80 Express -56*s - 4170 + 4160 - 6*s - 89*s as t*s + k and give k. -10 Express (12 - 3 - 7)*(n + 4*n**2 - n) + (6 - 6*n - 6)*(-4 + 4 - 3)*(0 + 4 + 0)*(-3 + 3 - 2*n) as j*n**2 + x*n + c and give j. -136 Rearrange (-2 + 1 - 1)*(-4 + 0 + 2)*(262*b**2 - 262*b**2 + 151*b**4) - 57 + 57 - 4*b + 2*b**3 - b**4 to l*b**3 + n + w*b + k*b**4 + f*b**2 and give n. 0 Rearrange 20800*q**3 - 20804*q**3 - 60 - 84 - q + 3*q to the form i*q + p + t*q**3 + n*q**2 and give t. -4 Rearrange (-3 + 4 - 3)*(3 - 3 + p)*(40 - 40 - 9*p)*(43 - 12 - 9)*(-43 + 43 - 8*p) to the form v*p**3 + w*p + a*p**2 + r and give v. -3168 Express -7041*s - 13531*s - 13430*s as r + y*s and give y. -34002 Rearrange (4*y**2 - 3*y**2 + 0*y**2)*(y + 2*y + 170 + 265 - 9*y + 1666) to n*y + l + k*y**2 + i*y**3 and give i. -6 Rearrange 388*r - 8125 + 8125 + r**2 to the form a*r + n + g*r**2 and give a. 388 Rearrange 1852*j**3 - j**4 - 5168*j**3 + 1737*j**3 + 2*j**4 + 1718*j**3 + j**2 - 5*j + 1 to the form d*j**4 + t*j + f*j**3 + i + v*j**2 and give i. 1 Express (5 - 55*j - 120*j + 80*j)*((3 - 2 + 1)*(-4 - 2 + 5) - 5 + 5 + 1) as z + s*j and give z. -5 Rearrange 1076*i + 2490*i + 2744*i + 11 - 11 to x + g*i and give g. 6310 Express (-3 + 3*x + 3)*(-134787*x + 67380*x + 67389*x - 10 - 3*x**2) as c + r*x**2 + m*x + u*x**3 and give r. -54 Express -100*v**2 + 77*v - 77*v + (-2*v + 0*v + 0*v - 1)*(5*v - 5*v + 12*v) in the form p + z*v + h*v**2 and give z. -12 Rearrange 3*w**3 - 192*w**4 + 190*w**4 + 5*w**2 - 5*w**2 - 3*w - 23 to i*w**4 + m + c*w**3 + q*w**2 + k*w and give c. 3 Rearrange (-d + 6*d - d)*(-1460*d - 11 - 15 - 21 + 47 - 12) to the form u*d + h + t*d**2 and give t. -5840 Rearrange s + 49*s**3 + 2914 - 1474 - 1439 to the form k*s**3 + u*s + v*s**2 + b and give v. 0 Express -5*p**4 + 2*p**4 - 5 + 14*p + 2*p**2 + 2*p**3 + 6 + 0 + 26 in the form b*p + o*p**2 + t*p**3 + l + g*p**4 and give t. 2 Rearrange -20175*f - 57 + 189 - 73 - 59 to y + k*f and give k. -20175 Express 1278*p + 1118*p - 552*p + 224*p - p**3 in the form n*p + i*p**2 + v*p**3 + u and give v. -1 Express -1973*a + 4027*a + 2493*a + 2572*a as k*a + l and give k. 7119 Rearrange (38*d + 64 - 64)*((-3*d - d + 6*d)*(4 - 4 + 1) + 6*d - 3*d - d + 3*d - 3*d + d + (-3 - 3 + 0)*(18*d - 4*d - d)) to z + t*d**2 + j*d and give t. -2774 Express (-i - 1 + 1)*(-181 + 375 - 123) + (-3 + 1 - 1 + (4 - 6 + 3)*(1 + 0 - 2))*(2*i - i - 3*i) in the form c*i + y and give c. -63 Express -284 - 265 + 547 + 7514*t as r*t + s and give r. 7514 Express 186204 - 4*o**3 + 248*o - 186204 as n + s*o + w*o**3 + l*o**2 and give w. -4 Rearrange (-5147*b**3 - 4416*b**3 + 8710*b**3)*(b - 6 + 4 + b) to the form u*b**4 + c*b + j*b**3 + x*b**2 + s and give j. 1706 Rearrange -248 + 26657*x + 26654*x - 53313*x + (0*x - 4*x - 2*x)*(2 + 2 - 3) to the form o*x + t and give t. -248 Rearrange (122 + 137 - 237)*(4 + 4 + 26)*((0*r + 0*r + 2*r)*(-6 + 1 + 4) + 0*r - 2*r + 3*r) to the form u + z*r and give z. -748 Rearrange ((0*d**2 - 5*d**2 - 4*d**2)*(2 - 6 + 0) - 3*d**2 - d**2 + 5*d**2)*(90 - 31 - 248*d - 31 - 27) to c*d**3 + f*d**2 + p*d + q and give f. 37 Express -13*h**2 - 55 + 48*h**3 - 383*h**3 - 281*h**3 + 64 + 14*h**2 as y*h**2 + q*h**3 + x*h + i and give x. 0 Express (-14*c + 16*c + 34*c)*(-3 + 1 + 0)*(-45 - 6 - 48) in the form h + k*c and give k. 7128 Express (45*b + 820*b + 382*b)*(0*b**2 + 2*b**2 - 3*b**2)*(-5*b + b - b) as d*b**2 + z + h*b**3 + l*b + i*b**4 and give i. 6235 Rearrange 63*m**2 + 424 - 1261 + 416 + m**3 + 421 - 21*m**4 to d*m + q*m**4 + u*m**3 + z + s*m**2 and give u. 1 Rearrange 150*r**2 - 9902 + 100*r**2 + 4950 + 4953 to u*r**2 + k*r + q and give u. 250 Express 20732 + 3014*m - 20732 as s*m + t and give s. 3014 Express 34*l - 2*l**4 - l**3 - 9*l - 3 + 8 - 7*l + 4 + l**2 as d + h*l + j*l**3 + w*l**2 + t*l**4 and give t. -2 Express -2*d - 32 - 4*d**2 + d**4 - d**3 - 11*d - 4*d + 15*d - 8 as q*d**4 + j*d + c*d**3 + x + u*d**2 and give j. -2 Rearrange 509*v**2 + 2629 + 512*v**2 - 678 - 2*v**3 - 1019*v**2 - v to m*v + h*v**3 + i + s*v**2 and give h. -2 Express 16 - 15169*x - 16 + 3845*x in the form u*x + s and give u. -11324 Express 8 - 7178*l - 8 - 17865*l**2 - 7177*l + 14355*l + (0 + 0 - 3*l)*(3*l - 5*l - l) in the form v + o*l**2 + f*l and give v. 0 Express 3*l**2 + 0*l**2 - 5*l**2 + (-4*l + 3 - 3)*(-11953 - 11949 + 10883*l + 23902) as v + w*l + t*l**2 and give t. -43534 Rearrange (3*d - 3*d + 10*d)*(-2*d + 2*d - 3*d)*(-3 + 2 + 0) + 6 - 6 - d**2 + 3*d**2 - 4*d**2 - 3*d**2 to the form u*d + f + h*d**2 and give h. 25 Rearrange 12 - 52 + 258*x**4 + 9 + 16 - 2*x**2 + 14 + 3*x to u*x**4 + g + z*x**2 + q*x**3 + k*x and give u. 258 Rearrange ((-36*p + 76*p + 15*p)*(-5*p + 2*p + 5*p) + 81 - 81 - 19*p**2)*(4 + 2*p - 4) to the form w*p**3 + d + o*p**2 + m*p and give w. 182 Rearrange 98*b**3 - 199*b**3 - 2*b - 40 + 112*b**3 to the form v*b + s*b**2 + w + l*b**3 and give v. -2 Express 781*v**2 - 772*v**2 - 3*v + 27*v in the form g*v**2 + w*v + l and give w. 24 Express -195*u - 222*u + 155*u - 22 + u**2 + 230*u - 3*u**2 in the form d + r*u**2 + m*u and give r. -2 Rearrange 12*h**2 - 97693*h**3 + 8 + 97690*h**3 + 3*h + 5*h**2 to b*h**2 + x*h + v + i*h**3 and give x. 3 Rearrange (-65*a - 67 + 67)*(-3 + 4*a + 3)*(7*a + 12*a - 17*a) to l + f*a**2 + j*a**3 + i*a and give j. -520 Rearrange -10847*p + 4451*p - 14113*p - 8679*p to g*p + x and give g. -29188 Rearrange (3*w**3 - 3*w**3 - 2*w**3 + (0*w + 3*w**2 + 0*w)*(w + 4 - 4))*(13*w + 20*w - 8*w) to the form r*w + d + j*w**3 + a*w**2 + x*w**4 and give x. 25 Express 197*n - 585*n**2 + 178*n - 375*n - 4247*n**2 in the form c + f*n**2 + l*n and give f. -4832 Rearrange 6035*o - 1 + 5389*o + 1 + 4049*o to h*o + k and give h. 15473 Express -959 - 3*t**4 - 14*t**4 + t**2 + 958 + 2*t**3 - 11*t as d + a*t**2 + p*t + x*t**4 + z*t**3 and give p. -11 Rearrange 0*y**2 + 30*y**3 + 11*y**2 + 2*y - 63*y**3 + 30*y**3 + 85 - 5*y**2 to the form z*y + x*y**3 + v*y**2 + w and give z. 2 Rearrange (-5*h - h + 4*h)*(0 + 4 - 1) + 375*h + 450 - 195 - 260 to p + g*h and give p. -5 Express -41*u**3 + 5 + 2*u**3 - 3*u - 11 - u + 5*u**3 - u**2 in the form k*u**3 + c*u + a*u**2 + t and give c. -4 Rearrange -2 - t**2 + 2 + (-t + t + t)*(8*t + 7*t - 7*t + (3 + 0 + 4)*(4*t + 3*t + 0*t)) to the form i + s*t + g*t**2 and give g. 56 Rearrange (-15925*s + 2104*s - 231*s)*(3 - 3 - s) to the form d*s**2 + b*s + w and give b. 0 Rearrange (85 + 130 + 78)*(-10*c - 5*c - 6*c) to the form s + k*c and give k. -6153 Express -3*g - 82*g**3 + 804 - 1598 + 796 + g in the form f*g**2 + v*g + h + a*g**3 and give v. -2 Rearrange -7772*g - 79*g**2 + 7772*g + (-5*g + 3*g + 4*g)*((-2*g - 2 + 2)*(-4 + 3 + 0) + g - g - g - 4*g + 0*g + 0*g) to the form i*g**2 + d + f*g and give i. -85 Rearrange 439 + 1414652*c**3 - 1414651*c**3 + 7068 to the form a + r*c + z*c**2 + g*c**3 and give g. 1 Rearrange (3*n + 0*n - 9*n)*(-174*n**2 - 216*n**2 + 7*n + 410*n**2) to the form i + g*n**2 + w*n**3 + m*n and give m. 0 Express -3*g**3 - 4*g**3 + 29*g - 306*g**2 + 616*g**2 - 311*g**2 as o*g**3 + f*g + t*g**2 + z and give t. -1 Express -19 + 11436*n**2 - 65*n**3 + 64*n**3 - 11435*n**2 - 158*n in the form a*n**3 + q*n + g + r*n**2 and give q. -158 Rearrange 2*q + 140618*q**2 + 2*q - 134657*q**2 - 4*q to h*q + c + b*q**2 and give b. 5961 Rearrange 3539*t**3 - 4*t - 3541*t**3 - t**2 - 65 - 139 to the form l*t + v*t**2 + x*t**3 + j and give x. -2 Rearrange (0*y - y + 0*y)*(17 + 10 - 79)*(-3*y + 2 - 2) to q*y**2 + l + t*y and give q. -156 Express -145*d + 10 + 9 - 356*d**2 + 365*d**2 + 3 - 27 in the form t*d + n*d**2 + b and give n. 9 Express -251 + 781 - 284 - 246 + 47380*x in the form k*x + w and give w. 0 Express (f**3 - 2*f**3 + 2*f**3 + (-22*f + 10*f**2 + 2
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from omuuuuuuyuuuo. 1/858 Calculate prob of sequence bj when two letters picked without replacement from {b: 7, j: 2, x: 2}. 7/55 Two letters picked without replacement from kkkkkkk. What is prob of sequence kk? 1 Two letters picked without replacement from {z: 3, g: 5, p: 2, e: 1, r: 1, t: 1}. What is prob of sequence zz? 1/26 What is prob of sequence pp when two letters picked without replacement from app? 1/3 Three letters picked without replacement from {j: 6, y: 2, f: 1, w: 2, l: 3, k: 1}. What is prob of sequence jjf? 1/91 Calculate prob of sequence mm when two letters picked without replacement from ddmddmmdddmmdmmmmmd. 5/19 Three letters picked without replacement from {i: 5}. Give prob of sequence iii. 1 Calculate prob of sequence tvc when three letters picked without replacement from cevat. 1/60 Calculate prob of sequence syy when three letters picked without replacement from szsyysyzsyzy. 2/33 Two letters picked without replacement from {u: 1, t: 2, d: 2, o: 1, z: 1, b: 1}. What is prob of sequence bu? 1/56 What is prob of sequence ff when two letters picked without replacement from fzzbbzfbbffzgzbfbfb? 5/57 Calculate prob of sequence qq when two letters picked without replacement from hhhsqshqqqhoqhhsoqqq. 14/95 Calculate prob of sequence tfuf when four letters picked without replacement from {z: 3, f: 3, u: 3, t: 3}. 1/220 Calculate prob of sequence ummu when four letters picked without replacement from {m: 2, a: 4, z: 5, u: 2}. 1/4290 Three letters picked without replacement from vvggg. Give prob of sequence vgg. 1/5 Three letters picked without replacement from dvvxvkkkdkxdk. Give prob of sequence vxx. 1/286 What is prob of sequence wb when two letters picked without replacement from bwoooucuucc? 1/110 What is prob of sequence xh when two letters picked without replacement from jhjhhhhjhhxhhj? 9/182 Three letters picked without replacement from {t: 7, h: 4, c: 6, d: 1, m: 2}. Give prob of sequence ttm. 7/570 Four letters picked without replacement from mmmmemaeeemvzvvmv. What is prob of sequence mmae? 1/340 Four letters picked without replacement from uaoodpi. What is prob of sequence apui? 1/840 Two letters picked without replacement from tgtttggtgggt. What is prob of sequence gt? 3/11 Two letters picked without replacement from {q: 10, o: 2, u: 1, w: 3}. What is prob of sequence qw? 1/8 Calculate prob of sequence cdcd when four letters picked without replacement from uucdu. 0 Three letters picked without replacement from iwuiuwqqw. What is prob of sequence qwu? 1/42 Two letters picked without replacement from {d: 1, f: 2, j: 4, w: 2, l: 1}. Give prob of sequence lj. 2/45 Calculate prob of sequence hohh when four letters picked without replacement from {o: 1, h: 7}. 1/8 Calculate prob of sequence jzrs when four letters picked without replacement from {w: 5, s: 4, z: 2, j: 7, r: 2}. 14/14535 Two letters picked without replacement from {h: 1, e: 1, p: 1, a: 2, g: 1, k: 2}. Give prob of sequence gk. 1/28 Four letters picked without replacement from cwcccwwcsswcs. Give prob of sequence scwc. 3/143 Calculate prob of sequence ap when two letters picked without replacement from {p: 3, a: 3}. 3/10 Four letters picked without replacement from urjojruujjjuunr. Give prob of sequence jjjj. 1/273 What is prob of sequence mgg when three letters picked without replacement from {i: 1, g: 5, m: 2, t: 6, a: 1}? 4/273 Calculate prob of sequence qpxu when four letters picked without replacement from zuxoqzxppquuzp. 3/2002 Four letters picked without replacement from {q: 1, a: 1, c: 2, w: 2, d: 1, r: 1}. What is prob of sequence rraq? 0 Calculate prob of sequence mpp when three letters picked without replacement from gqqmspsmupsq. 1/330 What is prob of sequence nx when two letters picked without replacement from nnmnnnnnnnnxxnnnn? 7/68 Three letters picked without replacement from {z: 1, f: 14, w: 2}. Give prob of sequence fff. 91/170 Four letters picked without replacement from {b: 1, x: 1, e: 3}. Give prob of sequence xeeb. 1/20 What is prob of sequence jw when two letters picked without replacement from wuuuujw? 1/21 Two letters picked without replacement from {i: 7, s: 4}. Give prob of sequence ii. 21/55 Four letters picked without replacement from {s: 1, w: 2, b: 1, p: 5}. What is prob of sequence bpsp? 5/756 Two letters picked without replacement from {f: 1, x: 1, u: 1, g: 1, h: 1}. Give prob of sequence gh. 1/20 Three letters picked without replacement from pppxpyxxyyyppp. What is prob of sequence xxp? 1/52 Three letters picked without replacement from {m: 2, d: 1, n: 1, c: 2, z: 2}. Give prob of sequence mcn. 1/84 Calculate prob of sequence ap when two letters picked without replacement from {j: 1, m: 1, p: 2, a: 4, v: 1}. 1/9 What is prob of sequence tt when two letters picked without replacement from {u: 1, t: 5, p: 1, d: 2}? 5/18 Two letters picked without replacement from {t: 3, z: 6, e: 3, s: 4, w: 1, p: 2}. What is prob of sequence ps? 4/171 Three letters picked without replacement from {l: 1, d: 2, y: 2, a: 6, u: 5}. Give prob of sequence yal. 1/280 What is prob of sequence txt when three letters picked without replacement from {t: 4, x: 14}? 7/204 Four letters picked without replacement from {n: 6, s: 3, b: 1, q: 7}. What is prob of sequence ssqb? 1/1360 Calculate prob of sequence bbyb when four letters picked without replacement from {y: 1, b: 3}. 1/4 Four letters picked without replacement from {a: 2, k: 2}. What is prob of sequence kkaa? 1/6 What is prob of sequence drl when three letters picked without replacement from {r: 2, l: 1, d: 1, j: 1, e: 1, w: 1}? 1/105 What is prob of sequence du when two letters picked without replacement from duuduuuuddudu? 10/39 Calculate prob of sequence vv when two letters picked without replacement from {o: 1, b: 3, v: 13}. 39/68 What is prob of sequence xflx when four letters picked without replacement from {l: 2, s: 2, g: 5, f: 5, n: 1, x: 2}? 1/2856 Two letters picked without replacement from memmmjmeggmm. What is prob of sequence jm? 7/132 What is prob of sequence aa when two letters picked without replacement from annanaaaaa? 7/15 What is prob of sequence mmgm when four letters picked without replacement from mngnggmtmgmgg? 6/715 Two letters picked without replacement from {e: 9, u: 3}. Give prob of sequence ee. 6/11 What is prob of sequence mcxm when four letters picked without replacement from {c: 2, x: 2, m: 5, w: 3}? 2/297 Three letters picked without replacement from wwwwwwxxxw. Give prob of sequence xww. 7/40 Three letters picked without replacement from {g: 2, s: 4, t: 2, z: 3}. What is prob of sequence zsz? 4/165 Calculate prob of sequence yzz when three letters picked without replacement from zzfnyffnfffy. 1/330 Calculate prob of sequence mm when two letters picked without replacement from {z: 2, m: 4}. 2/5 What is prob of sequence fxs when three letters picked without replacement from xsxdddf? 1/105 Four letters picked without replacement from opppxxdppdxq. Give prob of sequence xoqd. 1/1980 Three letters picked without replacement from {b: 2, x: 2, a: 1, f: 1}. Give prob of sequence xab. 1/30 Calculate prob of sequence xj when two letters picked without replacement from jwxj. 1/6 Two letters picked without replacement from {o: 5, v: 1, k: 2, q: 1, h: 4, u: 2}. Give prob of sequence ho. 2/21 Three letters picked without replacement from ummmmuhhuhuumumuu. Give prob of sequence uhu. 7/170 Four letters picked without replacement from luuuuuluuquqll. What is prob of sequence luqu? 8/429 Four letters picked without replacement from {k: 11, p: 4, b: 4}. Give prob of sequence bkpb. 11/1938 Two letters picked without replacement from {s: 5, d: 8, j: 3, g: 1, r: 2}. What is prob of sequence jj? 1/57 Calculate prob of sequence my when two letters picked without replacement from {a: 1, y: 1, w: 3, r: 5, x: 1, m: 6}. 3/136 Two letters picked without replacement from walasalliaa. What is prob of sequence as? 1/22 What is prob of sequence es when two letters picked without replacement from ssssessse? 7/36 Three letters picked without replacement from {x: 3, l: 3, g: 1, u: 1, k: 5}. Give prob of sequence xux. 1/286 Two letters picked without re
{ "pile_set_name": "DM Mathematics" }
git of ((-4 - q)/(10/410))/(-1)? 3 Let a(d) = -49*d + 22. Let s be a(14). Let z = -34 - s. What is the hundreds digit of z? 6 Suppose -3*j + 18 = 2*f, -7*f + 3*f = 0. Suppose -j*g + 2415 = g. Suppose a = 3*x - 637 + 118, -a = -2*x + g. What is the hundreds digit of x? 1 Let m(a) = -a**2 + 6*a - 5. Let h be m(2). What is the units digit of 3890/h + (-4)/(-12) - 5? 2 What is the tens digit of 2 + (0 - -7) + 124218/67? 6 Suppose -23*g + 58014 = -60206. What is the hundreds digit of g? 1 Suppose 0 = -4*a - 2*b + 112, 6*b + 149 = 5*a + 4*b. Suppose a*v - 1980 = 24*v. What is the units digit of v? 6 Suppose 2*s + a + 243 + 105 = 0, -4*s - 5*a - 702 = 0. Let y = 240 + s. What is the tens digit of y? 6 Let m = 27490 + -3514. What is the hundreds digit of m? 9 Let d = 42 - 54. Let i be ((-1014)/d)/((-2)/(-4)*-1). Let y = -120 - i. What is the tens digit of y? 4 Let d(n) = 91*n**2 - 4*n + 1. Let l be d(3). Suppose 25*x - l = 342. What is the units digit of x? 6 Let b(w) = w**3 + 16*w**2 + 42*w + 189. Let o be b(-14). Let s(g) be the second derivative of -7*g**3/3 + 7*g**2 + g. What is the units digit of s(o)? 2 What is the thousands digit of ((-6)/(-4))/(((-11)/((-16940)/(-90)))/(-141))? 3 Let z(f) = 14*f**3 + 24*f**2 - 91*f - 62. What is the hundreds digit of z(9)? 2 Let p be -2*(175/(-2))/5. Suppose -p*b + 148 = -31*b. What is the units digit of b? 7 Suppose 40*l = 54*l + 56028. What is the tens digit of (-48)/60 + l/(-15)? 6 What is the tens digit of (1358760/24 - -2) + 19? 3 Let t = -5433 + 7321. What is the hundreds digit of t? 8 Suppose 4*w - 2169 = 3*y + 1240, 5*w - 4300 = -4*y. Let t = w - 447. What is the units digit of t? 9 Let h(t) = 9*t**2 + 18*t + 204. What is the units digit of h(23)? 9 Let p(j) = j**3 + 16*j**2 - 6. Let i be p(-16). Let o(r) be the first derivative of r**3/3 + 2*r**2 - 10*r + 1. What is the units digit of o(i)? 2 Suppose -5*f + 5*m - 190 = 0, f - 18 = 2*f - 5*m. Let x = 63 + f. What is the hundreds digit of 10/(-2)*(-584)/x? 1 Suppose 0 = 2*f - 5 - 1. Let t be (-7191)/(-36) - (-6)/(-8). Suppose -u + 4*l + 187 = f*l, -u = 5*l - t. What is the tens digit of u? 8 Let w(q) = q**2 + 6*q - 52. Let z be w(11). Let g = 107 + z. What is the hundreds digit of g? 2 Let i = -215 - -220. Suppose i*l + 2404 = 4*v, -2*v - l + 1101 + 115 = 0. What is the tens digit of v? 0 Let r = -213 - -135. Let f = -10 - r. Let x = f + -54. What is the tens digit of x? 1 Suppose -4*v + 3*a = -0*a - 1747, -5*v - 3*a + 2177 = 0. Let l = v + 370. What is the hundreds digit of l? 8 Let j(l) = -l**3 - 2*l**2 - l. Let m be j(-1). Suppose m = 2*t - 0*t - 6. Suppose -i = -4*w - t*i + 472, 3*w = -i + 356. What is the hundreds digit of w? 1 Suppose 3*n - 4501 + 1112 = -5*w, 2*w - 3*n = 1343. What is the units digit of w? 6 Let s(v) = 2*v**3 - v**2 - 15*v - 7. Let o be (-275)/13 - -6 - 4/(-26). Let i(p) = p**2 + 16*p + 20. Let n be i(o). What is the hundreds digit of s(n)? 1 Let h(d) = 2*d**2 - 8*d - 9. Let m be h(-6). Suppose -3*x + 18 + m = -2*p, 2*p = -3*x + 141. Let u = x - -7. What is the tens digit of u? 5 Suppose -34*j - 5716 = -3*o - 33*j, -3*j - 9532 = -5*o. Let g = o + -1304. What is the tens digit of g? 0 Suppose 26699 = c + 3*m, -c - 5*m = -5364 - 21339. What is the units digit of c? 3 Let k(w) = -w**3 - 5*w**2 - 7*w - 6. Let r be k(-5). Let b(t) = 89*t + 27*t**2 - 27*t - 34*t - r*t. What is the units digit of b(1)? 6 Suppose -x + 833 = -2*u, -u + 3359 = 4*x - 0*u. What is the hundreds digit of x? 8 Suppose -3*v + v - 3*t + 14 = 0, 4*v + 8 = 3*t. Suppose 2 = 5*l + 4*c - v, 4*l = 4*c + 24. What is the units digit of 29 - (l + 1 - 6)? 1 What is the units digit of 3/((-90)/(-221644)) - (-768)/(-5760)? 8 Suppose 0 = w - 6, 4914 = g - 5*w - 576. What is the tens digit of g? 2 Suppose 24121 + 12020 = p + 2*l, 3*p + 4*l - 108419 = 0. What is the ten thousands digit of p? 3 What is the ten thousands digit of -17562*((-594)/(-132))/(6/(-1*2))? 2 Suppose -2*g - 2*g = -4*i - 24, -2*g + 6 = -4*i. Suppose -g*d + 2176 = -1541. What is the hundreds digit of d? 4 Let m = 94 + -98. Let x(o) = -13*o**3 - o**2 + 9*o + 1. What is the units digit of x(m)? 1 Suppose -r = -3, 5*q - 76*r = -79*r + 12224. What is the tens digit of q? 4 Let g(v) = 178*v**2 + 87*v + 716. What is the units digit of g(-8)? 2 Let w be -15*((-16)/12)/2. Suppose -6*f - w = -130. Suppose 0 = f*z - 15*z - 190. What is the tens digit of z? 3 What is the thousands digit of (-2262303)/414*6/(-3)? 0 Let s(q) = q**3 - 21*q**2 - 71*q - 17. Let d be s(24). What is the hundreds digit of 2/d + (-49381)/(-161)? 3 Let p(u) = -u**2 + 19*u - 19. Suppose c + 4 = -5*h, 2*c - 3*c - 4 = 3*h. Let j be (-6)/12 - 42/c. What is the tens digit of p(j)? 7 Let j = 7604 + -3456. What is the units digit of j? 8 Let t(a) = 129*a**2 + 13 - 265*a**2 + 125*a**2 - 46*a**3. What is the units digit of t(-3)? 6 Let v(t) = 118 - 7*t + 6 - 19*t - 21*t + 25. What is the hundreds digit of v(-33)? 7 Let j = 5149 - 2787. What is the tens digit of j? 6 Let p(m) = -3*m + 9. Let l(j) = -j**2 - 9*j + 20. Let w be l(-11). Let g be p(w). Suppose 212 = -11*d + g*d. What is the units digit of d? 3 Suppose -4*c - 10 = 6. Suppose 5*y - 4 = 4*h + 26, y - 6 = -4*h. What is the units digit of (c/y)/((-6)/639)? 1 Let a = -18601 - -20808. What is the thousands digit of a? 2 Suppose -18743 = -3*s + a, 0 = -6*s + 223*a - 219*a + 37496. What is the tens digit of s? 4 Suppose -8*i = -3*i - 5, -5*i + 14 = -g. Let a(z) = -26*z - 34. What is the hundreds digit of a(g)? 2 Let p(y) be the third derivative of y**6/120 - y**5/10 - 13*y**4/12 - 14*y**3/3 - 42*y**2. What is the tens digit of p(12)? 2 Suppose 0 = 119*t - 190785 - 55664. What is the thousands digit of t? 2 Let h = -4068 - -4162. Let k be (-1)/(2*1/170). Let z = k + h. What is the units digit of z? 9 Let z(k) = 488*k + 1030. What is the units digit of z(53)? 4 Let d(u) = 2*u**2 + 11*u + 10. Let l be d(-4). Let y be 3/(-6)*(l + -74). Suppose 62 = 2*p - y. What is the units digit of p? 0 Let y be (-16)/(-2)*((-66101)/(-28) - -2). Suppose -25*m = -1023 - y. What is the units digit of m? 7 Let x(d) = 0*d**3 + 23*d + d**3 - 18*d - 5*d**2 - 14. Let a be x(4). Let z(c) = -c**3 - 8*c**2 + 11*c - 23. What is the tens digit of z(a)? 6 Let f(w) = 5*w + 11. Let v be f(-6). Let a = 23 + v. Suppose -a*n = 5*b - 5*n - 354, 2*b - 5*n = 137. What is the tens digit of b? 7 Let f(h) = 7*h + 1 - 8 + 15 - 5. Let w be f(9). Let i = 250 - w. What is the tens digit of i? 8 Let b = 108191 - 57261. What is the thousands digit of b? 0 Let c be 7 + -2*((-6)/(-12) + -2). Suppose 0 = -c*n + 12065 - 1615. What is the units digit of n? 5 Suppose 0 = -9*k - 13*k + 31658. Let p = k + -825. What is the tens digit of p? 1 Let s be (7 + -12)/(3 + -2) + 12. Let w(i) = 18*i**2 + 16 - i**3 + 12*i - 4*i**2 - 2*i**2 - 4*i**2. What is the hundreds digit of w(s)? 1 Let m = 4533 - 3685. What is the tens digit of m? 4 Let b be 9/(-3) + 9/3. Suppose -2*n + 677 = 4*o - 4391, -4*o + 5*n + 5096 = b. What is the hundreds digit of o? 2 Let i(u) be the third derivative of -11/3*u**3 + 0*u + 1/4*u**4 + 0 + 1/30*u**5 - 39*u**2. What is the tens digit of i(7)? 1 Let p = -9403 - -9412. What is the units digit of p? 9 Suppose 0 = -2*m, 5*m - 72274 = -4*o + 4230. What is the tens digit of o? 2 Let y be (1 - -424)/(7/21). Let d = y - 976. What is the units digit of d? 9 Let m(k) be the second derivative of 5*k**4/6 + 11*k**3/2 + 69*k**2/2 - 197*k. What is the units digit of m(-11)? 6 Suppose -66*t + 147852 = 45288. What is the thousands digit of t? 1 Let t be (248/24 + -11)*(-15 - 0). Suppose -8*l + t*l - 1068 = 0. What is the tens digit of l? 3 Suppose 1404096 = 32*l - 199840. What is the tens digit of l? 2 Suppose 0 = 33*z - 177173 - 28285. What is the thousands digit of z? 6 Let k be 306/102 + -1*(1 + -632). Suppose 3*w = -a + k, 3380 = 5*a - w + 242. What is the tens digit of a? 2 Let s be -2*(4 - (-249)/(-2)). Suppose 723 = -4*q + i - s, q + 5*i + 241 = 0. Let g = -140 - q. What is the hundreds digit of g? 1 Suppose 5*c + 63*t - 60*t = 39020, 0 = -11*t + 55. What is the hundreds digit of c? 8 Let p(z) = 70*z + 1278. Let b be p(0). Suppose 0 = -5*o - 4*t + 6444, -b = -o - 5*t - 6. What is the thousands digit of o? 1 Let j = 12166 + 8404. Suppose 11*p +
{ "pile_set_name": "DM Mathematics" }
o be d(h). Let a be (o - (-6)/(-4))*-2. Solve -4*l = -2*m + 2, -3*m - a*l - 22 = m for m. -3 Let c(l) = -l**2 + 113*l - 3131. Let x be c(63). Solve -3*z - 21*a = -16*a + x, -3*a = -3*z + 21 for z. 2 Suppose -4*i - 2*x + 126 = 0, -24*x + 19*x + 25 = 0. Suppose i*y = 469 + 140. Solve 4*a = 3*c - y, c = -a - 3*c + 9 for a. -3 Let k be (-2 - 2068/(-55))/((-4)/(-10)). Let v = k + -64. Solve x - 7*g - v = -3*g, -2*g - 5 = x for x. 5 Let z(b) = -b - 6. Let i be z(-9). Suppose 191 = 44*y - 29. Suppose -i*p = -4*f + 2*p + 17, 5*p = -y. Solve 3*v - 18 = -f*o, 3*v - 2*o - 3 = -0 for v. 3 Let x be (-9)/(-6) + (3/6)/1. Suppose x*p - 4*r = -0*r + 4, 22 = -p - 4*r. Let q be (-2 - -3)*-1*p. Solve 3*h + q = -v, 1 = -3*v - 5*h - 5 for v. 3 Suppose -630 = -33*g - 18*g + 645. Solve 0 = -v - 73*b + 68*b + g, 3*b - 22 = -2*v for v. 5 Suppose 580*y = -12368 + 52968. Solve 73*h - 6 = y*h, -4*h = 2*o for o. -4 Suppose 0 = 7*l + 2 - 44. Suppose 0 = -3*r + l, 8*r + 4 = 3*s + 7*r. Solve -3*v = 2*v - s*w + 23, -v - 23 = -5*w for v. -3 Let o(z) = 1708*z + 8540. Let y be o(-5). Solve y = -4*l + t + 8, -l - 41*t = -44*t - 13 for l. 1 Let n = 198 + -210. Let g be (16/n)/((-1)/18). Solve 0 = -5*q - 2*p - 0*p - g, 0 = -2*p - 4 for q. -4 Suppose 3*w = 4*x + 165, -5*x = -0*x - 15. Let n = w + -24. Suppose 0 = 5*d - 25 - n. Solve 5*l + 16 = 3*u, -5*l = -2*l - u + d for l. -5 Let h(j) = j**3 + 14*j**2 + 14*j + 13. Let f be h(-13). Suppose 8*w + 69 - 197 = f. Suppose -7*n - w = -8*n. Solve 4*o + n = -3*d, d = -4*o + 4*d + 8 for o. -1 Suppose 0 = 342*o - 1506 - 1230. Solve -16*z + 2*p = -20*z + o, 2*z = 3*p + 4 for z. 2 Let o be (1 + 17)*(-560)/(-504). Solve 5*g = -o*j + 23*j + 9, 2*j - 1 = g for j. 2 Let l = 21 - -1. Suppose l = -n - 5*p - 0*p, 0 = n - 3*p - 2. Let k be 20/6 - (n - 22/(-3)). Solve 6 = -k*m - 4*t - 5, 5*t = 4*m + 25 for m. -5 Suppose -2*v + 26 = 7*j, -3*j + 13*v - 9*v + 16 = 0. Solve -15 = -5*r - u - j*u, 5*r = -4*u + 18 for r. 6 Let g(j) = 9*j - 83. Let l be g(12). Suppose -19*y = -24*y - a + 13, 5*y - l = -5*a. Solve -b - 2*b + y*i + 10 = 0, -2*b + 12 = 4*i for b. 4 Suppose 528*l - 501*l - 108 = 0. Solve -l*m - 4*a = -8, a - 71 + 65 = m for m. -2 Suppose -41*g = -24*g - 136. Suppose -g + 10 = 2*w. Solve 16 = -3*z - 4*n, 4*n - 3*n = -w for z. -4 Let h be 5 - (-2 - -2)/(3 - 1). Suppose 0 = i, 0*i - h*i = -c + 2. Solve -3*b - c*m + 20 = 0, -2*m + 4*m - 8 = 0 for b. 4 Suppose 5*s = 52 + 73. Suppose -s*h + 14*h = 29*h. Solve 0*g - 5*g = h, -g = 3*o + 3 for o. -1 Suppose 13 = 3*n - 23. Suppose -5*o = 2*v - 14, 8*v = -2*o + 25*v + 59. Solve 0 = -2*c - o*f - 22 + 4, c + 3*f = -n for c. -3 Let l(a) = -a**3 - 134*a**2 - 1008*a + 10. Let q be l(-8). Solve -60*i + 65*i = s + q, 0 = i - 5*s - 26 for i. 1 Let k = 1 + -9. Let b be -1 - -3 - -2 - k/(-2). Solve -3*u = b, u - 10 = -2*l + 3*u for l. 5 Let v(g) = -2*g**2 + 61*g - 30. Let d be v(30). Solve 2*q - 3*q - 4*h - 2 = d, -q - 2 = h for q. -2 Let u = 832 + -827. Suppose i = -3*s - 11 + 14, -5*s + u*i + 25 = 0. Solve 10 = 5*f - s*m, 1 = 4*f - 7*m + 4*m for f. 4 Let w be (-3)/(-4) + ((-45)/(-20) - 2). Let j be w*4 + 1 + 1. Suppose -j*l + l = 0. Solve l*k + 3*t + 3 = 3*k, -21 = -3*k - 3*t for k. 4 Suppose -407*z - 7787 + 19183 = 0. Solve 3*a - 24 = 3*c, 26 - z = -a for c. -6 Suppose -5*x + 5 = 0, 5*x = -4*b - 0*b + 29. Let p be ((-44)/5)/((-42)/15 + 3). Let w = 44 + p. Solve w = 2*u - 5*d - 4 + b, -d = 2*u - 10 for u. 4 Let u be 81/2 + (-36)/(-72). Suppose -35 = -38*p + u. Solve -4*f = 4*l - l + 26, f - p*l = -1 for f. -5 Suppose -6*x + 4*x = 5*j, 5*j + 30 = 4*x. Suppose -3*l = -x*n - 13, -2*l + 8 + 7 = 3*n. Solve -2*m + p = 3*p + l, -22 = -m + 4*p for m. 2 Let c = 1098 - 1096. Solve -2*h = -2*j + 14, -c*h - 5*h - 29 = 3*j for h. -5 Let j(r) = 25*r + 379. Let y be j(-15). Solve f + y = 0, -4*q = -9*q + 4*f - 9 for q. -5 Suppose 22*a + 13*a - 360 = 27*a. Solve 5*v + 3*b + 2 = 0, -a*b = -47*b + 12 for v. -4 Let q = 59 - 53. Suppose -3*m + 4*l - 94 = 0, -3*l + q*l = 2*m + 62. Let i = m - -36. Solve 3 = -5*k + 13, -3*v - i*k = -10 for v. 2 Suppose -384 = 8*w - 11*w. Suppose -w = -3*i - 41. Let j = i - 24. Solve 0*x + x + 16 = 4*o, 0 = -j*o + 20 for x. 0 Let z = -30 - -32. Suppose -76*r + 78*r = -5*u + 14, 3*r - 12 = -3*u. Solve 4 = 5*d - r*q, z*d - q - 2 = -0*d for d. 0 Suppose 48 = -5*z + 29*z. Suppose 48 = 2*l - 18. Let y = l + -29. Solve -7 = -y*n - 5*m, 0*n + 3*n - 11 = z*m for n. 3 Suppose -361*z + 313*z = -192. Solve 0 = -3*v + v + 5*j + 11, 2*v - z*j - 10 = 0 for v. 3 Let w be (-3)/(-15) + (-1326)/(-170). Suppose -6*c - 26 = -w*c + 3*t, -2*t = 0. Solve -g - 5*m = -m - 11, 2*g + 5*m = c for g. -1 Let g(a) = 2*a**3 + 22*a**2 + a + 22. Let d be g(-11). Solve -5*m - 22 = -3*i, -10*i = -2*m - d*i for m. -2 Let l(u) = u**3 + 2*u**2 - 4*u. Let b be l(-3). Let q be (8 - ((-21)/(-2) - 4))*(-10)/(-3). Solve 0 = -4*s - h - 7, b*h = -q*s - 2*h - 5 for s. -2 Let f(a) = -3*a**2 - 3*a + 33. Let z be f(-8). Let k = z - -137. Solve 0 = -2*y + 4*n + 4, -3*y - 2*n = k*y - 10 for y. 2 Suppose -2*k - 27*m = -30*m - 3, 2*m + 10 = 4*k. Solve 4*o - 4 = -2*j, o + k*o = -3*j for o. 3 Suppose c - 5*z - 50 = -3*c, 5*c - 56 = 3*z. Suppose 2*n + 3*i = 1, -14*n = -c*n - 5*i - 13. Solve 2*u + 4*b = 8, n = -5*u - 2*b - 2 for u. -2 Suppose -4*z - 7*r + 3*r + 136 = 0, -3*z + 98 = 5*r. Suppose 3*g + z = 15*g. Solve 12 = -4*v - 3*n, -g*n - 6 - 6 = v for v. 0 Let i(f) = -f**3 - 9*f**2 + 23*f - 19. Let k be i(-10). Let t = -146 - k. Solve -3*h + 2*b = -2*h - 11, -t*h = b - 5 for h. 3 Let s(m) = m**3 + 5*m**2 - 6*m + 4. Suppose 5*z = -85 + 55. Let i be s(z). Solve -3*y + 3*j = 3, -i = 5*y - 0*j - 4*j for y. 0 Let k = 8018 + -8010. Solve 1 = 7*u - k*u, 5*u + 1 = -t for t. 4 Suppose -5*g = 185 - 210. Solve -3*b + 16 = -g*c, -354 = 4*b + 5*c - 317 for b. -3 Let q be (-15)/10*(-2 + 10)/(-4). Let m = -16 + 25. Suppose -q*n = -3 - m. Solve -5*u - 10 = 4*h, -3*u - n*h - 9 = -h for u. 2 Let z(q) = q**3 - 29*q**2 - 28*q + 1578. Let x be z(28). Solve o + 3*o = -2*k + x, -3*k + 3*o = 21 for k. -3 Suppose 22*v + 22 = 24*v + 5*n, -3*v = 5*n - 23. Solve 2*j + 0*x + v = -3*x, 3*j + 3*x = 6 for j. 7 Let y be 16/(-12)*(-12)/16 - -1. Let q be (39/(-9) + y + 1)*-3. Solve 4*b - 4 = -k - 23, -q*k = 4*b + 16 for k. 1 Suppose -133 = y - 138, -2*p - 2*y = -10. Solve r = 2*r - 5*n - 25, 2*r + 5*n + 40 = p for r. -5 Let d = -10 + 120. Suppose 0 = -93*w + 98*w - d. Let y = w - 22. Solve y = 4*b - 4*z, 3*b + 3 + 0 = 2*z for b. -3 Suppose 0 = 3*k - 4*h - 13, 5*k - 7*k - 4*h + 2 = 0. Solve k*d - 5*c + 11 = 0, 11 = -5*d + 2*c - c for d. -2 Suppose 6*c - 3*c + 48 = 0. Let p = 17 + c. Let b be p*(2 - (3 - 3)). Solve -5 = 5*m + 4*v, 0 = 2*m - 5*v + b for m. -1 Let z(s) = -s**3 + s**2 - 3*s + 20. Let g be z(0). Solve 14*f - 9*f + g = -3*q, -2*q - 5*f = 15 for q. -5 Suppose 12 = 3*u - 2*m, -3 = -4*u + 2*m + 15. Suppose -h = -3*n - 3 - 0, 2*h - u = -4*n. Solve 2*w + w + h*b = 0, 4*w + b = 3 for w. 1 Let u(a) = 4*a**3 + 106*a**2 + 48*a - 100. Let b be u(-26). Solve 6*m - 4*p - 18 = -4, -b*m + 4*p = -16 for m. -1 Let z(l) = 3*l**3 + 13*l**2 + l - 9. Let n be z(-4). Let v be ((-10)/(-20))/(1/10). Solve -u + n*h + 13 = 0, h - 20 = v*h for u. -2 Let v be (0 + 1 + -10)/(173 - 174). Suppose 0 = 4*n + 2*l - 36, -23*l + 20*l - v = -n. Solve -a = -3*i - 3*a + n, 5*i + 4*a = 15 for i. 3 Suppose -4*h - 14*n + 88 = -18*n, h - 5*n - 50 = 0. Solve 3*y + 23 = 4*o, 2*y - h = 3*y - 5*o for y. -5 Let q = 274 + -272. Suppose 3*z - q*u - 9 = 0, -u = z - 6*z + 15. Solve -2*r = z*y - 13, 5*r + 23 = 4*y - 2 for y. 5 Let k = -71 + 71. Suppose k*a + 9*a = 171. Suppose 5*c + 2*j = 18, -5*c + j = 2*j - a. Solve 2*y - 5*s - 12 = y, c*s + 24 = -4*y for y. -3 Suppose 7*g - 22*g = -105. Solve 4*j = 2*n + 12, -3*j - 5*n - 18 = -g*j for j. 2 Let z be ((-143)/165 - ((-12)/9)/(-4))*-5. Solve -7*a + 3*a + 2*u - z = 0, 0 = 5*a - 5*u for a. -3 Let q(j) = -j**3 - 2*j**2 + 13*j + 24. Let t be q(-4). Solve -4*z - 4*w + 0 - t = 0, z + 2*w = 3 for z. -5 Suppose -3*w = 0, 0 = -2*f - f - w + 63. Let x be (-10)/35 - (-48)/f. Let t be 3/(12/16 - 0). Solve -t*u - 4*p = -x*u - 18, -u + 7 = p for u. 5 Let t(p) = -6*p**3 + p**2 + 2*p - 1. Let s be t(2). Let f be 4/4 + -4 - s. Suppose -f = 4*w - 42. Solve w = -u - n - 0, -4*u = -3*n - 24 for u. 3 Le
{ "pile_set_name": "DM Mathematics" }
3 Sort -7, -0.0614, 4, -8/3. -7, -8/3, -0.0614, 4 Sort -2/3, 0.1, -14, 0.4, 283, 3 in decreasing order. 283, 3, 0.4, 0.1, -2/3, -14 Sort -10, -1.2, 2.65, -2 in increasing order. -10, -2, -1.2, 2.65 Sort -0.2, 0.155, 1/2, 4 in descending order. 4, 1/2, 0.155, -0.2 Sort 0, 15/1003, -0.032, -1/2, 0.5 in descending order. 0.5, 15/1003, 0, -0.032, -1/2 Sort -1/3, -1, -0.3, -51, -254, 3/5. -254, -51, -1, -1/3, -0.3, 3/5 Sort 4, -8, -1, 1, 0, 6. -8, -1, 0, 1, 4, 6 Put 5, 0, -4, -5, -109, -83 in descending order. 5, 0, -4, -5, -83, -109 Sort -4, -8, 3, 44, 0, 6. -8, -4, 0, 3, 6, 44 Sort 1, -1, -3507, -4 in decreasing order. 1, -1, -4, -3507 Sort 1, 1/2, 1.36, 0.3, -0.14, -0.3 in descending order. 1.36, 1, 1/2, 0.3, -0.14, -0.3 Put 1/32, 2/37, -0.01 in descending order. 2/37, 1/32, -0.01 Sort 42/5, 3/32, 1, 3 in decreasing order. 42/5, 3, 1, 3/32 Sort -11, -464, 8/3 in ascending order. -464, -11, 8/3 Sort -5, 1, 3.4, -40, -4, 0.59 in decreasing order. 3.4, 1, 0.59, -4, -5, -40 Sort -2, -0.59, -2.5, -4, -1, 2 in descending order. 2, -0.59, -1, -2, -2.5, -4 Put -10, -110, 3, 2 in increasing order. -110, -10, 2, 3 Put -97, 5, -2/15, 3/10, -0.5 in increasing order. -97, -0.5, -2/15, 3/10, 5 Sort -1, 0.3, -1/3, -0.1, 2.9, 0.43. -1, -1/3, -0.1, 0.3, 0.43, 2.9 Put 2, 2382, 23 in decreasing order. 2382, 23, 2 Put -1, 536, -6 in descending order. 536, -1, -6 Put -5, -2/15, -707, 0.3, 2, 5 in descending order. 5, 2, 0.3, -2/15, -5, -707 Sort 7, 14, -5, 3, -8, -2 in increasing order. -8, -5, -2, 3, 7, 14 Sort 1/2, 2/9, -3.2, -111, -0.4 in decreasing order. 1/2, 2/9, -0.4, -3.2, -111 Put 12, 2, 60, -1, 1.2 in ascending order. -1, 1.2, 2, 12, 60 Put 228, -4, 4, -2 in ascending order. -4, -2, 4, 228 Put -0.5, 5808, -2/13, 2 in ascending order. -0.5, -2/13, 2, 5808 Sort 1, -79502, -2, 5 in descending order. 5, 1, -2, -79502 Put -0.1, 3/2, 3, 195, -30.9 in ascending order. -30.9, -0.1, 3/2, 3, 195 Sort -10467/5, 5, -0.08 in descending order. 5, -0.08, -10467/5 Sort 7, -2, 22, 4, -8, 64 in decreasing order. 64, 22, 7, 4, -2, -8 Put 0, -2, -4804 in descending order. 0, -2, -4804 Sort 74, -656, -2, -5 in decreasing order. 74, -2, -5, -656 Sort 0, 1, -2, -4407, -1, 3 in descending order. 3, 1, 0, -1, -2, -4407 Put 2326, 2, -5, 18 in decreasing order. 2326, 18, 2, -5 Sort -153, -6, -1, -10. -153, -10, -6, -1 Sort -2, -5, -8, 2944, 5 in increasing order. -8, -5, -2, 5, 2944 Sort -58, 64, 1, -0.4 in descending order. 64, 1, -0.4, -58 Sort 8, -0.3, 2/543, 8/23 in descending order. 8, 8/23, 2/543, -0.3 Sort 2275, -3, -5 in ascending order. -5, -3, 2275 Sort 5, 11, 13, 3, -50, -4 in decreasing order. 13, 11, 5, 3, -4, -50 Sort -9, -2, 222, 1. -9, -2, 1, 222 Put 0.02, 57, 2/5, -11, -3 in increasing order. -11, -3, 0.02, 2/5, 57 Sort 1887/47, -2/7, -5/2 in increasing order. -5/2, -2/7, 1887/47 Put 5, 103, 6, 2 in decreasing order. 103, 6, 5, 2 Sort -14, -2, 2, 4, -194, -5 in ascending order. -194, -14, -5, -2, 2, 4 Sort -2, 1, -5, 3, -226, 4 in decreasing order. 4, 3, 1, -2, -5, -226 Sort 0.04, 0.215, -5, -2/15, 0.01 in decreasing order. 0.215, 0.04, 0.01, -2/15, -5 Sort 2, -0.2, -5, 67, 2/19, 62 in ascending order. -5, -0.2, 2/19, 2, 62, 67 Put -59, 12, 1.6, -11 in decreasing order. 12, 1.6, -11, -59 Put 0.8, 36/31, -0.3 in decreasing order. 36/31, 0.8, -0.3 Sort -1/5, 1/18263, -2, -1, 2/13 in ascending order. -2, -1, -1/5, 1/18263, 2/13 Put 1/9, -0.088, -2, 2, 7, 2/43 in ascending order. -2, -0.088, 2/43, 1/9, 2, 7 Put 4/3, 3, 5, 100, 0.05 in decreasing order. 100, 5, 3, 4/3, 0.05 Put 5, -2/9, -3, 11, 0.319 in ascending order. -3, -2/9, 0.319, 5, 11 Sort 50, -15, -2, 3, -4. -15, -4, -2, 3, 50 Sort -0.02, 7/8, -523 in increasing order. -523, -0.02, 7/8 Sort 2/15, -3, -0.1, -11/86, 4 in decreasing order. 4, 2/15, -0.1, -11/86, -3 Sort -5.651, 3, -2/7, 2/19, 0.3 in decreasing order. 3, 0.3, 2/19, -2/7, -5.651 Put 1, 241, 22 in descending order. 241, 22, 1 Put -3, 2/421, -10/3, -0.2 in decreasing order. 2/421, -0.2, -3, -10/3 Put 2, -2, -1049, 61, 4 in descending order. 61, 4, 2, -2, -1049 Sort -2, -79, 84, -1 in ascending order. -79, -2, -1, 84 Sort 36, 3, 1, 2, -31 in ascending order. -31, 1, 2, 3, 36 Put -4, 80, -7, -0.2, 0.09, 0.5 in increasing order. -7, -4, -0.2, 0.09, 0.5, 80 Put -1214, 5, 163, -4, -2 in ascending order. -1214, -4, -2, 5, 163 Sort -54, 4, 3, 11, 56 in ascending order. -54, 3, 4, 11, 56 Sort 4, -171, 38, 3 in decreasing order. 38, 4, 3, -171 Put 996, 337, -1 in ascending order. -1, 337, 996 Sort -23, 4, -95, 195. -95, -23, 4, 195 Sort -290, -8, -5, 1, -2, -4. -290, -8, -5, -4, -2, 1 Put 207, -5, 0.5, -0.3 in descending order. 207, 0.5, -0.3, -5 Put 2/13, -635, -0.1, 2, -4, 2/9 in increasing order. -635, -4, -0.1, 2/13, 2/9, 2 Sort -375, 164, 0, -5 in decreasing order. 164, 0, -5, -375 Sort 14, -0.2, 4, 0.01 in descending order. 14, 4, 0.01, -0.2 Sort -16/7, -0.3, 3/7, 2763. -16/7, -0.3, 3/7, 2763 Put 44, -4, -18 in decreasing order. 44, -4, -18 Sort 4, 47, -71 in ascending order. -71, 4, 47 Sort 562, 0.09, -0.4, -5, 2, 4. -5, -0.4, 0.09, 2, 4, 562 Sort 2, 280724, 3. 2, 3, 280724 Sort -12, -4, 1, -5, -25. -25, -12, -5, -4, 1 Sort 9, 17, 4, 6, 89, -1 in descending order. 89, 17, 9, 6, 4, -1 Put 3/2, 1/2, -76/23, 3, 4 in descending order. 4, 3, 3/2, 1/2, -76/23 Put -1/4, -2640, 1/2 in increasing order. -2640, -1/4, 1/2 Sort 33, -2, -1072 in decreasing order. 33, -2, -1072 Sort 68.49, -0.3, -19, -5. -19, -5, -0.3, 68.49 Put 0.3, 2/7, 0.16, -4579 in descending order. 0.3, 2/7, 0.16, -4579 Put -528, -16, -8 in ascending order. -528, -16, -8 Sort -41, -3, 18, -5, 11 in decreasing order. 18, 11, -3, -5, -41 Put -1249, 26, 0.1 in decreasing order. 26, 0.1, -1249 Sort -398, 131, 5, -3 in descending order. 131, 5, -3, -398 Sort -130.6, -17, -0.1 in ascending order. -130.6, -17, -0.1 Put -548/3, 0.2, -16 in decreasing order. 0.2, -16, -548/3 Put 0.4, 49, 0.1, -0.5, 6 in increasing order. -0.5, 0.1, 0.4, 6, 49 Sort 3, 4, -1, -8, -138, 2 in decreasing order. 4, 3, 2, -1, -8, -138 Put 2931, 14, 4 in descending order. 2931, 14, 4 Put -0.486, 1, -84, 0, 0.5 in increasing order. -84, -0.486, 0, 0.5, 1 Sort -6, 10841/7, -0.5, 2/5, 1/3 in decreasing order. 10841/7, 2/5, 1/3, -0.5, -6 Put 2, -4, -9831 in descending order. 2, -4, -9831 Put -1, -2, -7, 4, -26 in increasing order. -26, -7, -2, -1, 4 Put -4, 4, -556, 5, 3, -2 in ascending order. -556, -4, -2, 3, 4, 5 Sort -21, 123, 1 in ascending order. -21, 1, 123 Put 8, -5, 29, -4, 1 in ascending order. -5, -4, 1, 8, 29 Put 3/7, -2.9645, 3/4 in descending order. 3/4, 3/7, -2.9645 Put 2304, -4, 9 in increasing order. -4, 9, 2304 Sort 0.2, 4, -7/6, 1055/3 in decreasing order. 1055/3, 4, 0.2, -7/6 Sort -1, -3, -14546, 0 in decreasing order. 0, -1, -3, -14546 Sort 0.055, 8566, -0.5 in decreasing order. 8566, 0.055, -0.5 Put -5, -3/5, -0.039, -4, 0.2077 in increasing order. -5, -4, -3/5, -0.039, 0.2077 Put 5, 4, 2/31413 in descending order. 5, 4, 2/31413 Sort -1/17, -1/6, 0.047, 1/8 in increasing order. -1/6, -1/17, 0.047, 1/8 Put 15993, 0, -3, -0.9, 1/7 in decreasing order. 15993, 1/7, 0, -0.9, -3 Put -0.13, 24, 23 in ascending order. -0.13, 23, 24 Sort 5, 3/4, 4, 7/3, 0.07, 0.4 in decreasing order. 5, 4, 7/3, 3/4, 0.4, 0.07 Put 31, 4688, -2 in descending order. 4688, 31, -2 Put 2, -560, -5, -1.5, 3 in increasing order. -560, -5, -1.5, 2, 3 Put 3/4, -4, -0.02, 5, 0.1 in decreasing order. 5, 3/4, 0.1, -0.02, -4 Sort 8, 12, 1480, -3 in decreasing order. 1480, 12, 8, -3 Put -7/304, 1/56, -2 in ascending order. -2, -7/304, 1/56 Sort -1, -3, 30, 371, 2 in ascending order. -3, -1, 2, 30, 371 Sort 233, -19/21, 3, 0. -19/21, 0, 3, 233 Sort -131, -2/5, 0.043027. -131, -2/5, 0.043027 Sort 1494/11, 0.1, 11. 0.1, 11, 1494/11 Sort -5, 0.2, 0.3966 in descending order. 0.3966, 0.2, -5 Put 99, -42, -2, 1, -4, 5 in decreasing order. 99, 5, 1, -2, -4, -42 Put -12, -2, -3, 12, 66, 5 in descending order. 66, 12, 5, -2, -3, -12 Sort -7, 3, -1, -2, 2245 in decreasing order. 2245, 3, -1, -2, -7 Sort -130, -5, 2/5, -7/8 in decreasing order. 2/5, -7/8, -5, -130 Put 3, -0.4, -19, -94/7, -0.2 in decreasing order. 3, -0.2, -0.4, -94/7, -19 Put -5, -191, 47, -7 in descending order. 47, -5, -7, -191 Sort 0.3, 6.84, 5, -57, -3, 4 in increasing order. -57, -3, 0
{ "pile_set_name": "DM Mathematics" }
- 1/8*a**4 + 0*a**3 + 1/120*a**6 + 0 + 1/20*a**5 + 0*a. Calculate the remainder when t(-3) is divided by 5. 4 Let k = 19 + -78. Let b = k + 71. Calculate the remainder when 35 is divided by b. 11 Suppose 18*x - 3520 = 2*x. What is the remainder when x is divided by 214? 6 Let j = 2 + 1. Let p(v) = 27*v - 8. What is the remainder when p(j) is divided by 38? 35 Suppose 0 = 3*b - z - 60 - 71, -16 = -4*z. Let i(s) = s**2 - 2*s - 8. What is the remainder when b is divided by i(6)? 13 Suppose 86*v - 87341 = -5039. What is the remainder when v is divided by 12? 9 Let x(i) = i**3 + 22*i**2 - 22*i + 30. What is the remainder when 169 is divided by x(-23)? 1 Let i = 318 - 225. Let u(j) = 4*j**2 + 81*j + 39. Calculate the remainder when i is divided by u(-20). 17 Suppose -74 - 49 = -3*o. What is the remainder when ((-34)/(-68))/((-3)/(-966)) is divided by o? 38 Let f = -1787 - -1823. What is the remainder when 123 is divided by f? 15 Suppose 0 = -5*d - 5 + 20. Let n = -10 + 10. Suppose -2*z + 40 = 4*o, 4*o - 7*z + 2*z - 40 = n. Calculate the remainder when o is divided by d. 1 Let b = 28 + -18. Suppose -x = 5*g - b*g + 144, 4 = -x. Calculate the remainder when 137 is divided by g. 25 Let v(h) = 6*h + 2. Let u be v(7). Let s = 3 + u. Suppose 0 = -g + f + 13, 3*g - 4*f = 2*g + 16. What is the remainder when s is divided by g? 11 Let d = 222 - 209. What is the remainder when 77 is divided by d? 12 Let q = -692 - -706. Calculate the remainder when 80 is divided by q. 10 Let j(l) = l**3 - 4*l**2 + 3*l + 2. Let k(y) = y**3 - 12*y**2 + 7*y + 3. Let o be k(11). Let q = o + 45. Calculate the remainder when q is divided by j(3). 0 Suppose -b + 0 + 5 = 0. Suppose -124*q - 18313 = 172*q - 44361. What is the remainder when q is divided by b? 3 Suppose s - 8 = -7. Suppose -3*r + s = -11. What is the remainder when 3 + (48 - r) - 4 is divided by 11? 10 Suppose -b = -3*b + 24. Let n = -6 - -8. Suppose n*y - 16 = 50. What is the remainder when y is divided by b? 9 Suppose -l + 4*q = -57, 31 = -3*l + 3*q + 157. Calculate the remainder when l is divided by 5/(105/162) - 10/(-35). 5 Let n be 4 + (-4)/1 + 2. Suppose -n*b + 41 = 2*s - 5*b, -s - 12 = 5*b. Suppose 4*f = -10 - 2, 10*f = -3*u + 81. What is the remainder when u is divided by s? 11 Let r = -40 - -44. Suppose -3*g = r*n - 101, -6*g + g + 183 = 3*n. What is the remainder when 151 is divided by g? 34 Suppose 0 = 4*x - 5*l - 166, 3*x - 5*x - 3*l + 94 = 0. Suppose 4*w + c - x = 103, -3 = 3*c. What is the remainder when 108 is divided by w? 34 What is the remainder when (57 + -102)*(-70)/6 is divided by 22? 19 Let f be (-171)/(-36) + 6/(-8). Suppose -4*i + 5*m = 91 - 574, f*i = m + 471. What is the remainder when i is divided by 24? 21 Suppose 2*m + 22 = -222. Let w = m + 176. Calculate the remainder when w is divided by 19. 16 Let l be 20/(-5)*1*61/(-2). Suppose 43 - l = -x. Calculate the remainder when x is divided by 27. 25 Suppose j + 1 = 7. Suppose 2*n - j = 0, 3*l - n - 6 - 9 = 0. What is the remainder when 77 is divided by l? 5 Let c(n) = -n**2 - 2*n + 10. Let l be c(-4). Suppose -16 = -0*z - 2*z. What is the remainder when 31/l - (-6)/(-12) is divided by z? 7 Let h(k) = 6*k**2 - 10*k. Calculate the remainder when 445 is divided by h(4). 53 Let y(g) = 44*g + 488. What is the remainder when 159 is divided by y(-9)? 67 Let v(t) = t**2 - 9*t + 4. Let c be v(9). Suppose -10 = -2*n - 2*r, 0*n - n - 4*r - c = 0. What is the remainder when 85 is divided by n? 5 Let h be -5 + (-3)/(-4 + 3). Suppose 54 = 2*f + 4. Calculate the remainder when (-1 - h)/(1/97) is divided by f. 22 Let y(z) = 5*z - 10*z - 27 - z. What is the remainder when 12 is divided by y(-6)? 3 Let r = -259 - -302. Calculate the remainder when r is divided by 17. 9 Let s = 501 + -398. Calculate the remainder when s is divided by 26. 25 Suppose -2*l + 7*l + 25 = -5*w, 22 = -2*l - 5*w. What is the remainder when (l - 6/(-4)) + (-1729)/(-26) is divided by 23? 21 Suppose 13*i + 5*f - 60 = 8*i, -3*i + 15 = -4*f. What is the remainder when i is divided by 4? 1 Suppose -5*s + 13 + 2 = 0. Suppose -4*q + 8 = -s*q. What is the remainder when 28 - q/(-2) - 4 is divided by 15? 13 Calculate the remainder when 146 is divided by (-382)/(-6) + (-20)/30. 20 What is the remainder when (-4)/(-10) + (11676/35 - -6) is divided by 49? 46 Suppose -103*t + 198 = -94*t. What is the remainder when 2/(-7) + 578/14 is divided by t? 19 Suppose 6*c + 179 = 1097. What is the remainder when c is divided by 51? 0 Let y = 4 - -34. Suppose -y + 32 = -3*j. What is the remainder when 5 is divided by j? 1 Let a = -49 + 52. Suppose -44 = -3*b + 2*c, -b - 3*c + 87 = a*b. What is the remainder when b is divided by 10? 8 Let o be (4/(-4) + 3)*2. Suppose -9*w + o*w = -385. Calculate the remainder when w is divided by 13. 12 Suppose -19*q - 1344 = -40*q. Calculate the remainder when 381 is divided by q. 61 Suppose 3*r - m - 37 = -0*m, -4*r - 2*m + 66 = 0. Suppose 11*h = 9*h + 8. What is the remainder when r is divided by 0 + 4 + h/(7 - 5)? 2 Let t(o) = 99*o**3 - 3*o**2 + 3*o + 4. What is the remainder when t(2) is divided by 13? 10 Suppose -2*l + 1540 = 4*k, l = 2*k + 6*l - 762. Calculate the remainder when k is divided by 80. 66 Let y be -9*(1 - 3/(-9)). Let q = y + 32. What is the remainder when q is divided by 7? 6 Let f(b) = 2*b - 1. Let k be f(2). Suppose k*l = 3*g, g + 0*g - 3 = 2*l. What is the remainder when 43 is divided by g/(-6)*8 - -7? 10 Let t(z) = z + 7. Suppose -5*n + 63 - 334 = -3*j, -3*j + 273 = -3*n. Suppose 0*h = 5*h + 15, 4*i - j = 4*h. Calculate the remainder when i is divided by t(0). 6 Let w be 1/(-1)*(-1 + -3). Let m(b) = b**2 + b + 4. Let u be m(w). Let p = u - 17. Calculate the remainder when p is divided by 3. 1 Suppose 2*b + 1 = -5*g, 23*b - 25*b = -3*g - 23. What is the remainder when (92/6)/(2/6) is divided by b? 4 Let f(o) be the first derivative of o**4/4 + o**3/3 + o**2/2 + 29*o - 3. Calculate the remainder when f(0) is divided by 8. 5 Let m = 15 + -12. Let g = 9 + -6. Calculate the remainder when g is divided by 2/8*(m + 9/1). 0 Suppose -32 = 3*o - 4*k - k, -3*o = -4*k + 28. Let z be o/(-8) + (-7)/2. What is the remainder when (-6)/(-4) - z/2 is divided by 2? 1 Let u(a) = -6*a + 36. What is the remainder when 55 is divided by u(2)? 7 Suppose 3*k + 4 = -2*j - 0, -4 = 4*j + 4*k. Let d = j + 2. Suppose -l + 2*w + 19 = 0, -l + w + 111 = d*l. What is the remainder when l is divided by 10? 9 Suppose 2 = -4*v + 6, -5*j + 4*v + 156 = 0. Let f = j - -52. Calculate the remainder when 46 is divided by (f/98)/(1/28). 22 Suppose -143*t - 3*i - 102 = -144*t, -i = 4*t - 395. What is the remainder when t is divided by 10? 9 Let r be 115*3 + 2 + 2. Suppose 3*s = r + 296. Suppose 4*u + s = 9*u. What is the remainder when u is divided by 22? 21 Let q = 4633 - 4611. What is the remainder when -1 - (0 - 85*1) is divided by q? 18 Suppose -7*l + 115 = -193. Suppose 2*g - 2*w - 2*w = 16, 2*g + 4*w - 48 = 0. What is the remainder when l is divided by g? 12 Let l = 27 - 14. Suppose 5*y - 18 = 22. Suppose -2*x = -y, -2*o + 3*o - 5*x = 42. What is the remainder when o is divided by l? 10 Let b = 505 - 451. Suppose 0*t - 4*t + 8 = 0. Suppose -5*k = -5*u + 55, -t*u + k = 3*u - 67. Calculate the remainder when b is divided by u. 12 Let r(h) = -h**3 + 2*h**2 - h - 4. Let b be r(3). Let a(y) = -y - 14. Let j be a(b). Let f = j + 8. What is the remainder when 38 is divided by f? 8 Suppose 2*f + 3 = -69. Let c = -2 - f. What is the remainder when 100 is divided by c? 32 Let y = 1392 - 1387. What is the remainder when 20 is divided by y? 0 Let k be 162 - (-1 + (-1 - -4)). Let i = 275 - k. Suppose j - 5*n + 2*n = 30, -3*j = -4*n - i. Calculate the remainder when j is divided by 12. 9 Let m(s) = s**3 - 62*s**2 - 52*s - 691. Let o = 1 + 3. Calculate the remainder when o is divided by m(63). 0 Let u = 3 + 1. Let i(x) = 24*x**2 + 6*x - 7. Let y be i(2). Suppose 115 + y = u*l. What is the remainder when l is divided by 11? 10 Suppose -5*r - 3*c + 182 + 110 = 0, 0 = -4*r - 4*c + 240. What is the remainder when r is divided by 37? 19 Suppose -5*x + 26 = -114. Suppose 2*q - 66 = 5*j + 73, 405 = 5*q - j. What is the remainder when q is divided by x? 26 Let a(r) = -r + 21. Let i be 1/(-7) + (-2)/14*-85. Let
{ "pile_set_name": "DM Mathematics" }
+ 1 - 1) + (5 + 2 + 3)*(0*f + f**4 + 0*f). 19*f**4 + 2*f**2 Expand (2*q + 4*q - 4*q)*(q + 0*q - 2*q) - 4 + 4 - q**2 - 2*q**2 + q - q + 3*q**2 + 2*q - 15 - 9*q + 5*q. -2*q**2 - 2*q - 15 Expand ((4 - 2 + 5)*(0 + 3 - 5) + 1 - 1 + 1)*(3*m - 5*m - 3*m)*(0*m - m + 3*m)*(m**2 + 3 - 3). 130*m**4 Expand -247*j**2 + 114*j**2 - 277*j**2 + (j - 2*j + 2*j)*(2 - j - 2). -411*j**2 Expand (-7*u + 20*u - 5*u)*(-3*u**4 + 3*u**4 + 3*u**4). 24*u**5 Expand (2*b**3 - 3*b**3 - 2*b**3 + (1 - 2*b - 1)*(-25*b**2 - 31*b**2 + 11*b**2))*(0 - 1 + 3). 174*b**3 Expand -4*p - 3*p**3 + 2*p**3 - 4*p + (-p + 3*p**2 + p)*(4*p - 2*p - 6*p). -13*p**3 - 8*p Expand (6 + l + 5*l**2 - 6)*(-17*l - 3*l - 103 + 104). -100*l**3 - 15*l**2 + l Expand 3*x**4 - 5 + 5 + ((-3 + 1 + 3)*(-1 + 1 + 2*x) - 2*x - x + 2*x + (2 + 2 - 2)*(5 + 4*x - 5))*(-2*x**3 - 2*x**3 + 5*x**3). 12*x**4 Expand (267*u - 751*u - 1016*u - 1278*u)*(u**2 - 5*u**2 + 3*u**2) - u**3 + u - u + (-3*u + 3*u + 2*u**2)*(-u - 2*u + u). 2773*u**3 Expand (160*b + 146*b - 211*b + 27*b)*(-b + 1 - 1). -122*b**2 Expand (6*y - y - 4*y)*(-3 - 7 + 4) + (-3*y - y + y)*(0 + 1 - 2) + 1 - 1 - 2*y. -5*y Expand (-6 - 17 + 2)*(-3*b**3 + 2*b**3 + 2*b**3)*(-b - 3*b + 5*b)*(4 - 3 + 5). -126*b**4 Expand (-157 + 93*u + 157 - 2*u - 4*u + 5*u + (0 + 0 - 2)*(-3 + 3 - 2*u) + u + 2 - 2)*(6 - 1 - 8 - 8). -1067*u Expand (0 - 3 + 2 + (-5 - 1 + 4)*(3 - 2 - 2) - 18 + 4 + 2 - 3 - 3 + 5 + 3 + 2 - 4)*(-4*g + g + g). 22*g Expand (-2*m**2 + 2*m**3 + 2*m**2)*(0 + 0 - 2) - 922*m**3 + 711655*m - 711655*m. -926*m**3 Expand (1 + 6 + 3)*(b + 0 + 2 + b). 20*b + 20 Expand -61 + 7 - 700*r + 698*r + (3 - 2 - 2)*(0*r + 3*r - 4*r). -r - 54 Expand (-1 - 23*y - 16*y - 34*y)*(3*y**3 + y**3 - y**3)*(y + y + 0*y). -438*y**5 - 6*y**4 Expand (-12*l - 3*l - 31 + 30)*(l**4 + 0*l**4 + 4*l**4). -75*l**5 - 5*l**4 Expand (-2*f**2 + 5 - 5 + (-3*f - 2*f + 3*f)*(-f + 3*f - f))*(50*f**3 - 42*f**3 + 42*f**3). -200*f**5 Expand (3 - 3 - 3*w)*(11 + 9 - 7)*(0 + 0 + 2) + 2 + w + 0 + w. -76*w + 2 Expand (-6*d**2 + 4*d**2 - 3*d**2)*(-d**2 - 6*d + 6*d)*(5*d - 3*d - 3*d). -5*d**5 Expand (731*d - 731*d - 53*d**4 - 5*d**2)*(2*d - 2*d + d + (0 + d + 0)*(2 + 0 + 0) - 3 + d + 3 + 4 + 2*d - 4 - 4*d + 4*d - 2*d + 2*d - 4*d + 0*d). -106*d**5 - 10*d**3 Expand (3 + 1 - 2)*(q**3 - q**3 - 2*q**5) + (-4*q**2 - 2*q**4 + 4*q**2)*(4*q + 2*q - 5*q) + 2 - 2 - q**5. -7*q**5 Expand (2*o + 1 - o + 1)*(-2*o + 2*o - 2*o)*(-10 - 10 - 16). 72*o**2 + 144*o Expand ((0*n**2 - 4*n**2 + 5*n**2)*(-6 + 6 + 3*n**2) + n**4 + 3*n**4 - 5*n**4 + (-2*n + 2*n + 3*n)*(-n**3 + 4*n**3 - 4*n**3))*(-1 - 2*n + 1). 2*n**5 Expand (8 - 5 + 1)*(0 - 1 - 1)*(-3*f**4 - 3*f**4 + 5*f**4 + (f + 2*f - f)*(-f + f + 2*f**3) - f**4 - 2 + 2 + 3*f**4 + 2*f**4 - 3*f**4). -32*f**4 Expand ((x - 2*x + 0*x)*(-x + x - 2*x) + 0 + 0 + x**2 + 56*x - 56*x - 10*x**2)*(-x**2 + 0*x + 2*x - 3*x). 7*x**4 + 7*x**3 Expand (-24*y**2 + 7*y**2 + 10*y**2)*(6 - 17 + 2). 63*y**2 Expand (-1168*g - 2 + 2311*g - 1038*g)*(0*g**2 + 0*g**2 - 2*g**3). -210*g**4 + 4*g**3 Expand -19*v - 67*v - v + (-2*v + 0*v + v)*(3 - 5 + 0). -85*v Expand (-25 - 12 + 12)*(-4*n**2 + 4*n**2 + 9*n**2)*(n - 1 + 1). -225*n**3 Expand -27*u**4 + 341*u**2 - 341*u**2 + (2 + 2*u - 2)*(0*u + 0*u + 2*u**3) - 2*u**4 - 4*u**4 + 3*u**4. -26*u**4 Expand (-4 - 2*x + 4)*(2*x**4 - 8*x**4 + 2*x**4) - x**3 - 3*x**5 - 2 + x**3 - 60*x**5 + 39*x**5 + 43*x**5. 27*x**5 - 2 Expand ((-2 - 4 + 5)*(0*x - 2*x + 4*x) + 3*x + x - x - 4*x + 3*x - x)*(-2*x**2 - 99*x + x**2 + 44*x). x**3 + 55*x**2 Expand (5*f + 2 - 2)*(-f**2 - 4*f**2 + 3*f**2)*(-3 + 2 + 0 + 3 - 4 + 5 + (-1 + 1 + 1)*(-4 - 1 + 3) + 1 - 6 + 3 - 1 + 5 - 2). -10*f**3 Expand (3 - 3 - 2*w**2)*(3*w - 3*w + w) - 4*w**3 + w**3 - 2*w**3 - 21 + 3*w**3 + 2*w**2 + 28 - 2*w**3. -6*w**3 + 2*w**2 + 7 Expand (13*w**3 - 13*w**3 - 4*w**2 + w**4)*(-189 - 102*w + 189). -102*w**5 + 408*w**3 Expand 0*x**4 + 5*x**4 - 4*x**4 + (-x + 4*x - 2*x)*(4*x**3 - 6*x + 6*x) + 593*x - 593*x + 45*x**4. 50*x**4 Expand (96*s**4 + 2*s**5 - 23*s + 23*s)*(0 + 0 - 2). -4*s**5 - 192*s**4 Expand (-3 + 1 + 4)*(19*r**4 - 10*r**4 - 85*r**4). -152*r**4 Expand (-1 + g + 1)*(-2 - 8*g - 5*g + 63*g + (2 + 2 - 3)*(0*g - 3*g + 4*g) + 2 - 2 + g + 2*g + g - 2*g). 53*g**2 - 2*g Expand (2*s**4 + 0*s**4 - s**4)*(3 - 1 + 0) + 4*s**4 - 16*s**4 + 6*s**4 - 3*s**4 + 4*s**4 - 3*s**4 + (3 - 3 - 2*s**2)*(-4 + 4 - 2*s**2). -2*s**4 Expand (o - o + o)*(-91*o**3 - 122*o**3 + 43*o**3 + (-3*o + 6*o - o)*(-3*o**2 - 4*o**2 + 5*o**2)). -174*o**4 Expand (-2*a + 3*a + 0*a)*(-7*a + 3*a - 4*a)*(-6*a**3 + 2*a**3 - 2*a**3). 48*a**5 Expand (y**2 - 3*y**2 + 4*y**2)*(2*y - 10*y - 2022*y**3 + 2031*y**3). 18*y**5 - 16*y**3 Expand (-1 + 4 + 0 - 2 + 1 + 2 + (5 - 3 + 0)*(6 - 4 - 1) + 0 + 0 - 3 + 6 - 3 + 7)*(-5*y + 4*y - 2*y). -39*y Expand 8*a**5 + 2*a**4 - 2*a**4 + (53*a**3 - a**3 + 29*a**3)*(-a**2 - 3*a**2 + 3*a**2). -73*a**5 Expand (0 - 5 + 1 + (0 - 4 + 6)*(1 - 2 - 7))*(0*a**2 - 3*a**2 + 2*a**2 - 2*a). 20*a**2 + 40*a Expand (-o - o**2 + o)*(-1 - 3 + 2) + 9*o**2 - 16*o + 16*o + 2*o + o**2 - 4*o**2 + 0*o**2. 8*o**2 + 2*o Expand (3 - 5 + 3 + (2 - 4 + 1)*(-4 - 2 + 4))*(1 - 2 + 6)*(v - 2*v - 3*v)*(-2*v + 2*v - 3*v). 180*v**2 Expand (2 + 1 - 1)*(4*l + 2*l - 4*l)*(-3 - l + 3)*(4*l**2 - l**2 - 2*l**2). -4*l**4 Expand (-3 - 2*g**2 + 3 + 1 + 2*g**2 - 1 + (0 + 0 - 2)*(-2*g**2 + 3*g - 3*g) + 6*g**2 + g - g)*(-1 - 8 - 4). -130*g**2 Expand (-2*m**2 - m + m)*(m - 2 + 2) - 10*m**3 + 13*m**2 - 13*m**2 + (2*m**2 - m**2 + m**2)*(-3*m - 2*m + 4*m). -14*m**3 Expand (0*g - g**2 + 4*g - 2*g)*(2*g**2 + 2*g**2 - 3*g**2)*((-3 + 7 - 3)*(4 + 2 - 4) + 8 - 6 - 37). 33*g**4 - 66*g**3 Expand (-3 + 0 + 4)*(1 - l - 1)*(89*l**3 + 76*l**3 - l - 175*l**3). 10*l**4 + l**2 Expand (-132*w + 128*w - 121*w)*(2*w - 2*w + 2*w). -250*w**2 Expand ((-3 + 1 + 5)*(2*q + q - 2*q) - 12*q - 6*q + 4*q)*(-q**3 + 2*q**4 + q**3) - 4*q**5 + 8*q**3 - 8*q**3. -26*q**5 Expand (-4*q**3 + q**3 - 2*q**3 + (2*q**2 - 5*q**2 + 4*q**2)*(4*q - 2*q - 3*q))*(-2 - 2 + 3). 6*q**3 Expand (-1532 + 773 + 766)*(-l**3 + 1 - 1). -7*l**3 Expand (3*l + 0*l - l)*(-1 - l**2 + 1)*(-36 - 33*l + 36). 66*l**4 Expand (t + 0 + 0)*(-72 + 132 + 380 + 16). 456*t Expand 6*a - a + a + (-5 + 2 + 1)*(4*a - 4*a + a) + 4 + 2*a + 3*a - 7*a. 2*a + 4 Expand (261 - 31 + 79)*(5*m - 3*m + 0*m)*(-2*m**4 - m**4 + 5*m**4). 1236*m**5 Expand (-625 - 14*l + 625)*(-4 - 4 + 4)*(0 - 3 + 2). -56*l Expand (1079 - 2154 + 1608*g**4 + 1075)*(2*g + 1 - 1). 3216*g**5 Expand (2*s**2 - 2 + 2 - 2*s**2 + 0*s**2 + 4*s**2 + 3*s**2 + 0*s**2 - s**2 + (3 + s**2 - 3)*(2 + 0 - 1))*(27*s**3 - 83*s**3 - 80*s**3). -952*s**5 Expand (-2 - 2 + 5)*(2 - 2 - 2*i**2) - 35*i**2 - 75*i**2 + 17*i**2. -95*i**2 Expand (10*c - 11*c + 19*c + 30*c)*(3 - 1 + 0)*(0*c + c + 0*c). 96*c**2 Expand (-a**2 - a**2 - 12*a**2)*(-1 + 2 - 2) + (-3 + 2 - 4)*(-4 + 4 - 2*a**2). 24*a**2 Expand (3*i**2 - 4*i**2 + 2*i**2)*(4 - 4 + 2) + (0 - 2 + 3)*(3*i - 3 + 3)*(7*i + 4*i - 33*i). -64*i**2 Expand (-1 + 3*i + 1)*(2*i - 1 + 1)*(725*i**2 - 888*i**2 + 597*i**2). 2604*i**4 Expand (0*s**2 - 4*s**2 + 6*s**2)*(-418*s**2 + 473*s**2 - 28*s**3 - 71*s**2). -56*s**5 - 32*s**4 Expand (6 + 0 + 1)*(3*f + 0*f + 2*f)*(4*f - 4*f**4 - 4*f). -140*f**5 Expand -2*g**2 - 4*g**3 + 2*g**2 + (-3*g**3 + 0*g**3 + 4*g**3)*(-1 + 4 - 1)*(4 - 6 - 9)*(1 - 2 + 5). -92*g**3 Expand (4 + 3*o**2 - 4)*(5 + 0 - 4)*(39 + 19*o - 39). 57*o**3 Expand (-l + l + 2*l)*(644*l - 354*l - 468*l). -356*l**2 Expand ((-2*l + 4 - 4)*(-1 + 3 + 0) + l - 3*l + l + 3*l - 3 + 3)*(277*l**3 + 147*l**3 - 552*l**3). 256*l**4 Expand (1 + 3 - 6)*(2*u - 2*u - 2*u) + (32*u + 56*u - 50*u)*(-1 + 4 - 1). 80*u Expand (-5*b**2 + 115 - b - 115)*(-5*b**2 - 4*b**2 + 3*b**2). 30*b**4 + 6*b**3 Expand (25*u**3 - 36*u**3 - 26*u**3)*(0*u**2 + 3*u**2 - 4*u**2) + 0*u + 0*u - 3*u**5. 34*u**5 Expand (224*b**2 + 223*b**2 + 53*b - 449*b**2)*(4*b - 6*b + 0*b). 4*b**3 - 106*b**2 Expand (0*j**2 - 2*j**2 + j**2)*((0*j - j + 2*j)*(1 - 1 + j**2) - 3*j**3 - 3 + 3 - 42*j**3 - 34*j**3 + 32*j**3). 46*j**5 Expand (1 - f - 5 + 2 + (f + 1 - 1)*(3 - 1 - 3))*(-1 + 1 + 4*f). -8*f**2 - 8*f Expand (0*r + 0*r + 2*r**3)*(-4*r**2 - r**2 + 3*r**2) + (0 + 0 - 5*r)*(27*r**2 - 27*r**2 + 93*r**4). -469*r**5 Expand (2 - 4 + 1)*(52*n - 26*n - 21*n) - 4*n + 2*n - n + (3*n - 3*n + n)*(3 + 1 - 3). -7*n Expand (l**3 + 2*l**3 - 5*l**3)*(-6*l + 2*
{ "pile_set_name": "DM Mathematics" }
p) = 0. -5, -2, 0 Let i(a) be the third derivative of -2/5*a**5 - 7/6*a**4 - 2/3*a**3 + 0 + 0*a + a**2. Factor i(q). -4*(q + 1)*(6*q + 1) Let w(u) be the first derivative of u**4/12 + 7*u**3/9 + 11*u**2/6 + 5*u/3 - 65. Factor w(y). (y + 1)**2*(y + 5)/3 Suppose 3*w + 14 = -w - 2*c, 5*c = -25. Let t be w + -1 - (0 + 40/(-18)). Suppose t + 2/9*j**2 - 4/9*j = 0. What is j? 1 Solve 0*z**2 - 18/7*z**3 + 9/7*z**5 - 3*z**4 + 0 + 0*z = 0. -2/3, 0, 3 Let w be (5 - 5)/(-3)*(-2)/(-6). Suppose -2 + w = -d. Let -3/2*r - 3/4*r**d - 3/4 = 0. What is r? -1 Let l = 1468 + -1466. Let 1/8*y**l - 1/8 - 1/8*y + 1/8*y**3 = 0. What is y? -1, 1 Suppose 3*j + 5*v - 9 + 2 = 0, -j = -2*v - 6. Factor 5*s**4 + 5*s**3 - 3*s**3 + s**3 - 4*s - 4*s**j. s*(s - 1)*(s + 2)**2 Suppose 4 - 1 = z. Let 33*g**4 - 32*g + 33*g**4 + 50*g**2 - 8 + 164*g**z + 24*g**4 = 0. What is g? -1, -2/9, 2/5 What is b in 4*b - 2*b**2 + 2*b**3 + 2*b - 2*b**2 + 12*b**2 = 0? -3, -1, 0 Let c(l) be the second derivative of -1/35*l**5 - 2/7*l**2 + 2/21*l**3 + 11*l + 1/21*l**4 + 0. Factor c(v). -4*(v - 1)**2*(v + 1)/7 Determine b so that 2 - 24 + 16*b**3 - 26 - 12*b**3 - 92*b - 40*b**2 = 0. -1, 12 Let z = 83846/17 + -4932. Solve -10/17*k**4 - z - 20/17*k**2 - 10/17*k - 2/17*k**5 - 20/17*k**3 = 0 for k. -1 Let k = 33304/3 - 11099. Determine z, given that -1/3*z**2 - k*z + 0 = 0. -7, 0 Let -47*o + 12*o - 56*o - 127*o**3 - 249*o**2 + 96 + 112*o**3 - 47*o = 0. What is o? -16, -1, 2/5 Let t(m) be the third derivative of m**5/180 + 11*m**4/6 + 242*m**3 + 218*m**2. Suppose t(h) = 0. What is h? -66 What is q in -9*q + 53/2*q**2 + 75/2*q**3 + 0 + 2*q**4 = 0? -18, -1, 0, 1/4 Let l(k) be the first derivative of -2*k**3/9 - 7*k**2/3 - 20*k/3 - 59. Factor l(b). -2*(b + 2)*(b + 5)/3 Let s(x) = -x**4 + 38*x**3 + 13*x**2 - 76*x + 51. Let y(b) = -2*b**3 - 2*b**2 - 2*b + 1. Let o(i) = -s(i) - 5*y(i). Factor o(g). (g - 28)*(g - 1)**2*(g + 2) Let b(p) = p**2 - 21*p + 45. Let x be b(22). Let c = 67 - x. What is z in -3/4*z**4 - 3/4*z**3 + 0*z**2 + 0 + c*z = 0? -1, 0 Let i be 4/(-6)*27/(-36). Let w(j) = -j**2 - 3*j - 2. Let t be w(-2). What is o in -1/2*o + 0*o**2 + i*o**3 + t = 0? -1, 0, 1 Let o = 4/663 + 217/663. Let p(z) be the first derivative of 9*z - 3*z**2 + 3 + o*z**3. Factor p(m). (m - 3)**2 Let t = 35/48 + -79/240. Factor n**3 + 4/5*n**4 + 1/5*n**5 + t*n**2 + 0 + 0*n. n**2*(n + 1)**2*(n + 2)/5 Let w(s) be the first derivative of -s**3/3 + 9*s**2/2 - 15*s + 26. Let d be w(6). Solve -u**4 + 1/3*u + 0 + 1/3*u**d + u**2 - 2/3*u**5 = 0. -1, -1/2, 0, 1 Let i(b) = 25*b**4 + 365*b**3 + 350*b**2 - 40*b + 40. Let s(f) = -27*f**2 - 28*f**3 - 3 - 2*f**4 - 3*f + 8*f - 2*f. Let l(c) = 3*i(c) + 40*s(c). Factor l(w). -5*w**2*(w + 2)*(w + 3) Factor 152/3*x**2 + 0 - 148/3*x - 4/3*x**3. -4*x*(x - 37)*(x - 1)/3 Let u = -33699 + 33701. Factor -22/3*v**u - 8/3*v + 0. -2*v*(11*v + 4)/3 Let 65039 - 128*l - 4*l**2 - 65039 = 0. What is l? -32, 0 Let v(l) be the third derivative of l**5/140 - 13*l**4/12 + 20*l**3/7 + 344*l**2. Solve v(b) = 0 for b. 2/3, 60 Let d be (-204)/(-374)*(-22)/(-16). Factor -1/4 + 1/4*t**3 + d*t - 3/4*t**2. (t - 1)**3/4 Suppose 0 = -5*s + 23 - 8. Let l(g) be the second derivative of 1/225*g**6 - 1/75*g**5 + 2/45*g**s + 6*g - 1/90*g**4 + 0 + 0*g**2. Find n, given that l(n) = 0. -1, 0, 1, 2 Let h(b) be the third derivative of -1/12*b**4 + 1/15*b**5 + 0*b + 0 + 1/60*b**6 - 2/3*b**3 + 25*b**2. Solve h(q) = 0 for q. -2, -1, 1 Suppose 4*s - 20 = -p, -8*p + 3*p - s = -81. Factor 72 - 3*f**3 - 24 - p*f - 21*f**2 - 8*f. -3*(f - 1)*(f + 4)**2 Let d be -1*((-1)/4*6)/((-16)/(-32)). Factor 2/3*t**2 - 8/3 + 8/3*t - 2/3*t**d. -2*(t - 2)*(t - 1)*(t + 2)/3 Solve -13/8*q - 1/8*q**3 + 3/4 + q**2 = 0 for q. 1, 6 Let j(o) be the third derivative of o**7/1680 - o**6/720 - o**5/240 + o**4/48 - o**3/2 - 6*o**2. Let k(a) be the first derivative of j(a). Factor k(c). (c - 1)**2*(c + 1)/2 Let q(k) be the third derivative of -k**5/60 - k**4/8 + 87*k**2. What is j in q(j) = 0? -3, 0 Let f(j) = 2*j**2 + 1. Let b be f(1). Factor b*i**2 - 4*i**2 + 3 - 3*i - 6 + 7. -(i - 1)*(i + 4) Let n(u) = u**3 - 151*u**2 + 6884*u. Let k(i) = i**3 - 148*i**2 + 6883*i. Let r(v) = 5*k(v) - 6*n(v). Factor r(m). -m*(m - 83)**2 Suppose 0 = b - 5*p - 2, 22 = 11*b + 4*p + p. Let 3/2 + 3/2*l**b - 3*l = 0. What is l? 1 Let a(z) = 5*z**2 + 15*z. Let i = -2 + -3. Let w(g) = -3*g**2 - 7*g. Let d(t) = i*w(t) - 2*a(t). Suppose d(r) = 0. What is r? -1, 0 Let j(f) be the third derivative of -1/25*f**5 - 1/420*f**8 + 0*f**3 + 2/175*f**7 + 0 - 3*f + 0*f**4 + 1/150*f**6 + 6*f**2. Determine s so that j(s) = 0. -1, 0, 1, 3 Factor 78/5 + 3*f**2 - 201/5*f. 3*(f - 13)*(5*f - 2)/5 Let j(l) = -4*l - 2. Let v be (0 + 2/3)*(-180)/120. Let k be j(v). What is i in 6/11*i - 6/11*i**k + 2/11*i**3 - 2/11 = 0? 1 Let m be (40/(-5) + 10)*27/144. Find p, given that m*p**3 + 15/8*p**2 + 9/8*p - 27/8 = 0. -3, 1 Let r(o) be the second derivative of o**6/120 - o**4/16 + o**3/12 + 20*o. Suppose r(f) = 0. What is f? -2, 0, 1 Let m be (-4)/((-60)/(-9))*-1. Suppose 0 = o - j + 1, -2*o + 4*j = j + 5. What is y in 6/5*y - m*y**o - 3/5 = 0? 1 Let n(v) be the second derivative of 5*v**4/12 + v**3/2 + v**2/2 + 12*v. Let p be n(-1). Suppose 0 - 2/3*y**p - 7/3*y**2 + 2/3*y + 7/3*y**4 = 0. Calculate y. -1, 0, 2/7, 1 Let r be (-6)/21 - (-864)/2240. Let b(f) be the second derivative of 0*f**4 + 11*f + 1/15*f**6 + 0*f**2 + r*f**5 + 0 + 0*f**3. Factor b(o). 2*o**3*(o + 1) Let q(i) be the third derivative of i**5/20 - 3*i**4/8 - 9*i**3 + 17*i**2. Solve q(c) = 0. -3, 6 Suppose 796/9*y - 39601/9*y**2 - 4/9 = 0. Calculate y. 2/199 Let z = 1226/19 - 13182/209. Solve -8/11*m - z - 2/11*m**4 + 2/11*m**3 + 12/11*m**2 = 0. -2, -1, 2 Let l(b) be the first derivative of -b**4/20 + 2*b**3/15 + 2*b**2/5 - 8*b/5 - 79. Let l(x) = 0. Calculate x. -2, 2 Let 1/5*l**3 + 2/5*l**4 + 0 + 0*l**2 + 0*l + 1/5*l**5 = 0. Calculate l. -1, 0 Suppose 4*m - 4*m = 7*m. Factor -28 + m*f**2 + 28 - 3*f**2 - 15*f. -3*f*(f + 5) Suppose 0 = 4*v - 4352 - 1428. Let q = 7257/5 - v. Let q*n**2 - 8/5*n + 16/5*n**5 - 28/5*n**4 - 4/5 - 8/5*n**3 = 0. Calculate n. -1, -1/4, 1 Let m(x) be the third derivative of -3*x**2 + 3/80*x**5 + 0*x + 1/40*x**6 + 1/168*x**7 + 1/48*x**4 + 0 + 0*x**3. Find k, given that m(k) = 0. -1, -2/5, 0 Let d(l) = -32*l - 7 + 5*l**3 - 20*l**2 - 20*l**3 - 20. Let p(s) = -4*s**3 - 7 - 14*s - 5*s**2 + 6*s + 0*s**2. Let b(i) = 6*d(i) - 22*p(i). Factor b(g). -2*(g + 1)*(g + 2)**2 Let h = -4/2089 - -18817/8356. Factor h*n**3 + 3/4*n**4 + 0 + 0*n + 3/2*n**2. 3*n**2*(n + 1)*(n + 2)/4 Let v(y) be the second derivative of y**7/2310 - y**6/660 + y**5/660 - 5*y**3/6 - 14*y. Let l(u) be the second derivative of v(u). Factor l(w). 2*w*(w - 1)*(2*w - 1)/11 Let h be 165/231 + 3/(3 + 0). Factor -2/7*g**2 - h*g - 18/7. -2*(g + 3)**2/7 Let o = 15578 + -15575. Factor 0 - 3/2*n + 3/2*n**o + 0*n**2. 3*n*(n - 1)*(n + 1)/2 Let k be 19/((-228)/90)*16/(-220). Suppose 48/11*m + k*m**3 + 42/11*m**2 - 96/11 = 0. What is m? -4, 1 Let o = 14961 + -59843/4. Find n such that -3/2*n + 5/4 + o*n**2 = 0. 1, 5 Let y = 10399 - 10397. Determine z, given that 11/2*z - 2*z**y - 1/2*z**3 - 3 = 0. -6, 1 Let x be (-17)/(-5) - (-15)/25. Solve 4*u + 1 + 3*u**2 + 3*u**3 - 3*u**3 - 4*u**3 + u**x - 5 = 0 for u. -1, 1, 2 Let m = 79 + -77. Factor 25*x**3 - 8*x**m - 12*x**4 - 3*x**3 - 2*x**3. -4*x**2*(x - 1)*(3*x - 2) Factor -224/5*z**4 + 28/5*z**2 + 2/5*z + 66/5*z**3 + 128/5*z**5 + 0. 2*z*(z - 1)**2*(8*z + 1)**2/5 Let j(s) be the second derivative of s**8/336 + s**7/210 - s**6/30 - s**5/15 - 24*s**2 - 2*s + 15. Let y(f) be the first derivative of j(f). Factor y(q). q**2*(q - 2)*(q + 1)*(q + 2) Factor -u**5 + 7*u - 5750*u**2 + 2*u**3 - 2 + 0 + 0 + 2*u**4 + 5742*u**2. -(u - 1)**4*(u + 2) Factor -56*p + 0 + 8*p**2 - 2/7*p**3. -2*p*(p - 14)**2/7 Let t be (-1)/((-2)/8 - (-266)/1288). Find q such that 22*q**2 - 5*q**3 + 16*q**2 - 43*q**2 + 8 - t + 25*q = 0. -3, 1 Let h be (-5 + -49 - -53)/((-2)/10 - 0). Find w, given that -6*w**4 + 15/2*w**2 + 15/4*w**h - 3*w**3 - 3/2 - 3/4*w = 0. -1, -2/5, 1 What is w in -2*w + 1/2*w**2 + 3/2 = 0? 1, 3 Let i(d) be the second derivative of -d**5/30 - 5*d**4/6 - 16*d**3/3 + 64*d**2/3 + 158*d. Suppose i(t) = 0. What is t? -8, 1 Let f(s) be the second derivative of -
{ "pile_set_name": "DM Mathematics" }
Give o(14). 12 Let c(d) = 67*d - 1780. What is c(27)? 29 Let w(c) = 69*c**3 - 2*c**2 + 5*c - 4. Calculate w(1). 68 Let s(f) = -f**3 - 62*f**2 - 121*f - 47. Determine s(-60). 13 Let h(g) = g**3 - 20*g**2 - 55*g + 1090. Determine h(20). -10 Let g(y) = -47*y - 86. Determine g(-2). 8 Let y(c) = -7*c - 408. What is y(-52)? -44 Let k(o) = -o**2 - 62*o - 294. Determine k(-7). 91 Let g(s) = -s**2 - 112*s - 330. Determine g(-109). -3 Let y(g) = -4*g**3 - 7*g**2 + 6*g + 15. Determine y(-2). 7 Let g(w) = -w**3 - 48*w**2 + 153*w - 8. Determine g(-51). -8 Let y(n) = -719*n + 5073. Calculate y(7). 40 Let c(x) = 10*x**2 - 89*x + 32. Give c(7). -101 Let f(w) = -2*w**3 - 17*w**2 - 8*w - 15. Give f(-8). -15 Let g(h) = h**3 + 37*h**2 - 451*h + 15. Give g(10). 205 Let g(y) = 472*y - 12. What is g(0)? -12 Let x(d) = 8*d**2 - 55*d - 367. Determine x(-6). 251 Let w(u) = 425*u**2 + 7225*u + 23. What is w(-17)? 23 Let p(y) = -2*y**3 - 12*y**2 + 54*y + 45. Calculate p(-9). 45 Let p(l) = -l**3 + 8*l**2 + 8*l + 8. Give p(8). 72 Let t(x) = -x**3 + 6*x**2 + 47*x - 468. Give t(9). -288 Let p(r) = -208*r**3 + 4*r**2 - 3*r + 1. Give p(1). -206 Let s(p) = 103*p**3 + 12*p**2 + 13*p. What is s(-1)? -104 Let o(y) = -y**3 - 7*y**2 - y + 45. Give o(-6). 15 Let a(b) = 4*b**3 + 24*b**2 - 23*b - 134. Give a(-6). 4 Let a(x) = 10*x**2 - 1293*x - 895. Give a(130). 15 Let r(p) = 17*p**2 - 245*p + 16. Give r(13). -296 Let k(m) = -2*m**3 - 13*m**2 + 20*m + 13. Give k(-8). 45 Let v(q) = -272*q - 3325. What is v(-11)? -333 Let t(a) = 102*a - 1557. Determine t(16). 75 Let r(t) = -t**2 + 23*t + 603. What is r(40)? -77 Let k(j) = -75*j**2 - 11*j - 11. What is k(-1)? -75 Let i(a) = a**2 + 30*a + 136. Calculate i(-29). 107 Let b(f) = 2*f**2 + 16*f + 54. What is b(-13)? 184 Let z(f) = -f**3 - 21*f**2 + 8*f + 190. What is z(-21)? 22 Let j(o) = -o**3 - 32*o**2 + 43*o + 330. What is j(-33)? 0 Let n(w) = -76*w - 7. What is n(0)? -7 Let s(w) = -w**3 - 4*w**2 + 53*w + 19. Calculate s(-10). 89 Let m(s) = 8*s**2 - 38*s + 14. Give m(4). -10 Let z(d) = -3*d**2 - 130*d - 1177. Give z(-13). 6 Let w(z) = z**3 + 25*z**2 - 24*z + 51. Determine w(-26). -1 Let j(c) = 10*c**2 + 198*c + 887. Calculate j(-6). 59 Let l(w) = -13*w + 164. What is l(13)? -5 Let d(g) = -g**3 + 115*g**2 - 298*g - 4267. Determine d(112). -11 Let v(n) = -7*n**3 + 94*n**2 - 311*n + 6. Calculate v(6). 12 Let h(i) = -159*i - 8112. Give h(-51). -3 Let m(b) = -28*b**2 - 203*b - 10. Determine m(-7). 39 Let s(t) = -2*t + 382. Calculate s(-7). 396 Let b(z) = z**3 + 108*z**2 - 346*z - 1445. Give b(-111). -2 Let w(u) = -28*u - 148. Give w(-9). 104 Let l(j) = 8*j - 93. Determine l(-8). -157 Let z(n) = -154*n + 1056. Give z(7). -22 Let b(q) = -2865*q + 34349. Give b(12). -31 Let i(s) = -4*s**3 + 10*s**2 - 10*s + 11. Give i(3). -37 Let d(b) = 377*b + 20358. Determine d(-54). 0 Let g(y) = -y**3 + 26*y**2 + 403*y + 145. Determine g(37). -3 Let k(x) = -x**3 + 34*x + 17. What is k(6)? 5 Let c(t) = -15*t**2 + 643*t + 734. Calculate c(44). -14 Let o(n) = -14*n**2 + 43*n - 1. Give o(0). -1 Let j(n) = 50376*n - 302256. Calculate j(6). 0 Let d(m) = m**3 - 5*m**2 - 31*m + 129. What is d(5)? -26 Let h(t) = -8*t**2 - 343*t - 301. Determine h(-42). -7 Let p(v) = -2*v**2 + 13*v + 71. Calculate p(5). 86 Let u(q) = 22*q - 354. Calculate u(15). -24 Let m(k) = k**3 - 65*k**2 - 282*k - 49. Determine m(69). -463 Let y(d) = -d**2 + 27*d - 168. Determine y(11). 8 Let d(w) = 66*w**2 - 2632*w - 345. Give d(40). -25 Let z(o) = -362*o - 15207. What is z(-42)? -3 Let h(p) = p**2 - 1304*p + 10354. Determine h(8). -14 Let i(y) = 310*y + 9647. What is i(-31)? 37 Let z(d) = d**2 - 45*d - 85. Give z(47). 9 Let g(d) = 62*d - 7140. Give g(117). 114 Let m(k) = 5*k**3 + 32*k**2 + 30*k - 21. Give m(-5). 4 Let m(h) = 113*h - 698. Calculate m(5). -133 Let u(c) = -33*c - 9. Determine u(-1). 24 Let h(b) = 2996*b - 15070. What is h(5)? -90 Let a(k) = k**2 - 809*k + 155429. Calculate a(314). -1 Let f(a) = 5*a**2 - 158*a - 212. Determine f(33). 19 Let t(a) = 4*a**2 + 88*a - 108. What is t(-23)? -16 Let p(n) = -3*n**2 - 9*n - 15. Determine p(-7). -99 Let i(s) = -419*s - 13408. Calculate i(-32). 0 Let h(i) = -577*i + 4600. What is h(8)? -16 Let p(z) = z**2 + 3*z - 1470. Give p(37). 10 Let w(p) = -p**3 + 69*p**2 + 701*p + 91. Calculate w(78). 13 Let f(v) = v**3 - 31*v**2 - 35*v + 98. Determine f(32). 2 Let z(o) = -o**2 + 4*o + 49. Give z(9). 4 Let p(a) = -19*a**2 - 101*a + 305. Determine p(3). -169 Let d(x) = -4*x**2 + 10*x - 35. What is d(7)? -161 Let f(c) = -6601*c + 52813. What is f(8)? 5 Let j(v) = -506*v + 4001. Calculate j(8). -47 Let j(c) = -3*c**2 - 16*c + 14. Give j(-6). 2 Let q(r) = 202*r - 1797. Give q(9). 21 Let c(t) = t**3 + 15*t**2 + 49*t + 25. Calculate c(-4). 5 Let x(m) = 2*m - 135. What is x(-8)? -151 Let x(y) = -3*y**2 - 72*y - 11. Calculate x(-9). 394 Let c(j) = -998*j + 26939. Calculate c(27). -7 Let b(p) = 2*p**3 - 13*p**2 + 16*p - 1. Calculate b(4). -17 Let w(x) = 865*x + 5209. Calculate w(-6). 19 Let h(b) = -3*b**2 - 259*b + 2133. Give h(-94). -29 Let c(f) = 648*f + 3276. What is c(-5)? 36 Let y(u) = 5078*u - 40625. What is y(8)? -1 Let z(u) = 3*u**3 + 2*u**2 - 2*u + 1. Give z(1). 4 Let q(c) = -6*c**2 - 14*c - 2. Calculate q(-6). -134 Let o(p) = -51*p**2 + 19*p - 53. Give o(3). -455 Let f(l) = -278*l - 2338. Give f(-9). 164 Let t(l) = -l**2 - 124*l - 3825. What is t(-58)? 3 Let z(o) = o**3 + 32*o**2 + 83*o - 187. Determine z(-29). -71 Let g(z) = -z**2 - 94*z - 1251. Determine g(-78). -3 Let n(y) = 9*y + 129. Calculate n(-15). -6 Let b(h) = h**2 + 171*h + 3413. Determine b(-148). 9 Let m(d) = d**3 + 11*d**2 + 104*d + 1149. Give m(-11). 5 Let j(k) = -119*k + 4568. Calculate j(38). 46 Let x(b) = 10*b**3 + 7*b**2 + 14*b. Give x(-2). -80 Let o(s) = 76*s + 1819. Give o(-24). -5 Let i(m) = 1178*m. Give i(0). 0 Let l(k) = 34*k - 712. Calculate l(21). 2 Let s(l) = -2*l**2 - 106*l + 4543. Give s(-81). 7 Let a(i) = 49*i - 211. What is a(5)? 34 Let a(h) = -2*h**2 - 163*h - 1608. What is a(-70)? 2 Let k(l) = -l**2 + 36*l - 54. Give k(36). -54 Let n(v) = 2*v**3 + 13*v**2 + 19*v + 31. Calculate n(-5). 11 Let v(p) = 46*p - 1084. Calculate v(25). 66 Let h(j) = -j**3 - 36*j**2 - 201*j + 74. Give h(-29). 16 Let y(w) = -45*w - 313. Determine y(-8). 47 Let c(y) = 249*y**2 - 469*y - 48. Give c(2). 10 Let w(g) = g**3 - g**2 + 25*g - 34. Calculate w(7). 435 Let b(h) = 7*h**2 - 19*h. Calculate b(3). 6 Let x(h) = -12*h**2 + 6*h - 43. Determine x(4). -211 Let z(q) = -12*q - 223. Determine z(-17). -19 Let i(h) = -22*h + 445. Give i(20). 5 Let q(s) = -9*s**3 + 6*s**2 - 6*s. Give q(1). -9 Let j(b) = -b**2 + 60*b - 624. What is j(16)? 80 Let k(i) = i**3 + 20*i**2 + 53*i + 327. Give k(-17). 293 Let b(g) = g**3 - 27*g**2 + 64*g + 197. Determine b(24). 5 Let h(v) = v**3 - 21*v**2 - 78*v + 19. Calculate h(24). -125 Let c(x) = x**3 + 50*x**2 + 9*x + 403. Give c(-50). -47 Let x(k) = -k**3 + 15*k**2 - 7*k - 120. Calculate x(14). -22 Let t(k) = k**3 + 65*k**2 - 32*k - 2043. What is t(-65)? 37 Let f(t) = -2*t**3 - 2*t**2 + 92*t - 17. Give f(-7). -73 Let f(h) = 23*h**2 + 118*h + 17. Calculate f(-5). 2 Let l(g) = 102*g + 3344. Determine l(-34). -124 Let c(b) = -3*b**3 + 17*b**2 + 25*b + 24. Determine c(-4). 388 Let o(n) = -2*n**2 - 148*n - 139. Give o(-73). 7 Let f(r) = -r**2 + 15*r - 62. Give f(10). -12 Let l(y) = -y**3 - 23*y**2 - 57*y + 11. Calculate l(-20). -49 Let s(i) = -2*i**2 + 96*i + 500. What is s(49)? 402 Let j(t) = -11*t + 42. What is j(-33)? 405 Let v(o) = 22*o**2 + 132*o - 271. Calculate v(2). 81 Let s(u) = -22*u**2 - 190*u - 326. Determine s(-6). 22 Let l(j) = -2*j**3 + 11*j**2 + 28*j - 15. Calculate l(-5). 370 Let j(a) = a**2 - 62*a - 6043. What is j(-53)? 52 Let k(g) = g**3 - 24*g**2 + 131*g + 5. Give k(15). -55 Let w(d) = -d**2 - 500*d - 4448. Calculate w(-9). -29 Let v(m) = m**2 + 1105*m + 13120. Give v(-12). 4 Let c(p) = -6*p**2 + 7*p - 28. Determine c(7). -273 Let l(j) = j**3 - 24*j**2 - 22*j - 99. Determine l(25). -24 Let p(m) = m**3 - 29*m**2 + 80*m - 34. What is p(26)? 18 Let s(p) = -196*p + 2169. Give s(11). 13 Let n(d) = -d**2 + 358*d + 1425. Give n(-4). -23 Let y(a) = 762*a + 92198. Determine y(-121). -4 Let o(v) = v**2 + 17*v + 65. Give o(-9). -7 Let l(j) = -j**3 + 5*j**2 + 101*j - 22. C
{ "pile_set_name": "DM Mathematics" }
to b in h, -1/2, x? x Let g = 53777/5 + -10756. Which is the closest to 1? (a) g (b) -90 (c) 28 a Let f be 38 - (8/(-28) - (-18)/14). Suppose -g - 49 = -4*i, g = 3*i - 0*i - f. Let s be i/66 - (-15)/(-22). Which is the nearest to -6? (a) 0.3 (b) s (c) 0.4 b Let c = -22.4 + 143.4. Let f = -122 + c. What is the closest to f in -0.5, -6, 1? -0.5 Let n = -19.228 - -9.228. What is the closest to n in -5, 13, -3/2, 0.2? -5 Suppose -5*m - 46 = -22*z + 18*z, -z = -4*m - 28. Which is the nearest to -5/6? (a) z (b) 1/4 (c) 0 (d) -0.2 d Let j = 0.25 + 20.75. Let a = -20.6 + j. Let g = 361/105 - 25/7. What is the closest to 3/2 in a, g, -0.3? a Suppose 5*p - 64 = 36. Suppose 4*l + p = 4*h, -15*h + 10*h = -5. Let k = 0.4 + 0. Which is the nearest to k? (a) -3 (b) 2 (c) l b Let r = -9015 - -8985. Which is the closest to r? (a) 0 (b) 0.5 (c) 1 (d) -0.1 d Let p = 1644 + -1645. What is the closest to -0.2 in -2, p, 13? p Let h = -25.55 - -28.7. Let f = 3.55 - h. What is the nearest to 0 in f, -3, 2/15? 2/15 Let s = 0 - -0.1. Let i = 791 - -25. Let h = -816 + i. Which is the nearest to s? (a) -3 (b) h (c) 1/7 c Let l = 900.19 - 896. Let h = 4.39 - l. Let o = -717/5 + 143. Which is the nearest to -5? (a) h (b) 1 (c) o c Let w(b) = b - 1. Let z be w(4). Let x be 117/(-24) + z + 2. Let s = -402 - -401. What is the nearest to s in x, 0.5, 0.9? x Suppose 0 = 3*o - 3*p + 18, 3*p - 8 + 6 = -5*o. Let v = 158.1 - 158. What is the nearest to 0 in 0.3, 5, o, v? v Let d = 1.2 - 0.2. Let s(r) = -5*r**2 - 29*r + 4. Let w be s(-6). Let t be 24/105*(w - (-45)/10). Which is the nearest to t? (a) d (b) -5 (c) -4 a Let m = 163.03 - 106.03. Which is the closest to 1? (a) -7 (b) 1/5 (c) m b Suppose -2*p - 1877 + 1891 = 0. What is the nearest to 1/2 in 4, p, 48? 4 Let r = -4 - -3. Let x = -4220.6 + 4220.7. What is the closest to r in 5, -1, 4, x? -1 Let p = 407 + -571. Let c = p - -155. What is the nearest to 0.1 in c, -2/15, -4, -0.1? -0.1 Let z be 804/335*1/(-2)*5. What is the nearest to -1 in z, -1, -3? -1 Let w be (-3*1)/(3/(-2)). Let f be 1*w + 9/(-6). Let j = 274726 - 274725.5. Which is the nearest to f? (a) 2 (b) 12 (c) j c Let w = -24 - -21. Let o = -4 - -14. Suppose -6*v + v = o. Which is the nearest to 0? (a) v (b) -0.4 (c) w b Let g be (62/30 - 12/30)*4/(-10). Which is the closest to g? (a) 0.09 (b) 0 (c) 0.2 (d) -3 b Let z = -132.1495 + 0.1495. What is the nearest to -2/3 in 0.4, z, -2, -0.09? -0.09 Let z = -1228/5 - -246. Let h = 10.01 - 9.01. Which is the closest to -2/3? (a) 0.3 (b) h (c) -1/2 (d) z c Let t be 2/(((-6)/5)/(78/(-26))). What is the nearest to 1/3 in -0.8, t, 7? -0.8 Let v be 2/36 - (-2)/12. Let s = 10 + -9.61. What is the nearest to 0 in -4, v, s? v Let s = 756 - 749. Let h = -15.68 + 4.68. What is the nearest to s in 5, h, -5? 5 Let i = -11645/2 - -5647. Let r = i - -176. What is the nearest to -1.6 in r, -2/5, -2? -2 Let d = 0.1162 - 0.0162. Let y = 0.07 - 0.17. Let c = 0.02 + -0.22. What is the nearest to d in c, 1, y? y Let l(p) = 5*p**2 + 46*p - 171. Let y be l(-12). What is the nearest to -109 in -5, 0.1, 5, y? -5 Suppose -2*t + 0*t + 2 = 0. Let m = -1 - -4. Let h = -85129 - -85134. What is the nearest to -2/3 in t, m, h? t Suppose 0 = 59*h - 56*h - 945. Which is the closest to -0.2? (a) 0 (b) h (c) -3 (d) 0.4 a Let p = -1.389 + 1.089. What is the closest to -2/3 in 0.4, -5, 3/2, p? p Let y = 206 - 412. Let h = y + 211. Which is the closest to -12? (a) -1 (b) -2/3 (c) h a Let t = 10 - 250. Let d = t - -239. What is the closest to d in 0, 5, 2? 0 Let n = -85/116 - 1/58. Let h = 89 + -91. Which is the nearest to h? (a) n (b) 0.5 (c) 2/15 a Let o be 1*(96/(-84))/8*2. Which is the nearest to -1.634? (a) 0 (b) -4 (c) o (d) 3 c Let r = -24 + 20. Let f be -3 + -3 + (r - -4). Let n be ((-12)/15*75/f)/(-2). Which is the closest to 2/5? (a) n (b) -0.1 (c) -0.2 b Let m be (3 + 110/(-35))/(6/(-63)*3). What is the closest to -4/3 in m, 9/11, 0.1? 0.1 Let k = 101945/9 - 11327. Let h be -4*2/(-52)*1. Which is the closest to 0? (a) -1 (b) k (c) h c Let u = 2434 - 2429. Which is the closest to 1? (a) -5 (b) 6 (c) -0.4 (d) u c Let a = -29603 - -29602. What is the closest to 2 in -715, -5, a, -0.2? -0.2 Let r = -6587 - -6586.5. What is the closest to 45 in -0.4, -0.1, -5, r? -0.1 Let c = -90.75 + 29.75. What is the closest to 8/5 in c, 0, -0.4? 0 Let r = 22.943 - 41.943. Which is the closest to r? (a) -5 (b) -54 (c) 3 a Let a be 22/176 - (-9)/(-8). Let s be (-476)/(-196) - (a - (-3)/7). What is the nearest to -1/25 in -3/2, s, 2/3? 2/3 Let z be (-10)/60 + 19/(-30). Let c be (-984)/(-54) + -25 + -11 + 18. Let p = -1 + 3. What is the nearest to c in z, p, -4/7? -4/7 Let g = 30 - -311. Let u = 340 - g. Which is the nearest to 0? (a) -3/4 (b) -0.3 (c) u (d) 0.4 b Let y = -1.9928 + 1.9228. What is the nearest to y in 1, 5, -1, 4/3? -1 Let y = -693.6 - -694. Which is the nearest to -2/5? (a) -2 (b) y (c) 18 (d) 62 b Suppose -5*v + 0*v = -v. Let p = -117 - -113. Which is the closest to v? (a) p (b) -4/5 (c) 0 c Let g = 475.5 + -475. Let q = 0.093 - -0.007. Which is the nearest to 10? (a) q (b) g (c) 3 c Let j = 140/3 - 47. Let x = -8.1 + 11.53. Let u = 4.43 - x. What is the closest to u in 1/7, j, 0.4? 0.4 Let v = -1141/295 + 240/59. What is the closest to v in -1, -2, 0.01? 0.01 Let p be 5635/(-735)*(-18)/322. Suppose -o = t, 3*t + 5*o - 10 = -0. What is the closest to 2/5 in t, -6, p, 0.2? p Let c = 0.314 + 103.686. Let i = c - 99. Let r be -2 - 30/117*-8. What is the closest to 1 in -1/4, i, r? r Let v = -27724 - -138626/5. Which is the closest to 0? (a) 258 (b) v (c) -0.4 c Suppose p = -3*u + 13, 0 = -3*p + 8*p + 4*u - 21. Let r = 2677 + -2664.71. Let s = -12.79 + r. What is the nearest to -2/7 in 1/6, p, s? s Let i(v) = -401*v**3 + 5*v**2 - 5*v + 2. Let w be i(1). Let n be (6/44)/(-3 + w/(-140)). Which is the closest to 2/5? (a) -0.4 (b) n (c) 4/7 c Let h = -25.6 - -30.85. Let s = 4.25 - h. Which is the nearest to 0? (a) 3 (b) s (c) 2 (d) 0.7 d Suppose -2*d = -4*d + 8. Let q be (-429)/924 + (-4)/14*1. Let k = 18047 - 18048. What is the closest to k in q, d, -0.4? q Let s be (-105)/260 + 1/4. Let r(t) = 12*t**2 - 65*t - 34. Let i be r(6). Which is the nearest to i? (a) s (b) -1 (c) 3/2 c Let v = -2096 + 2100. Which is the nearest to -1/2? (a) -2 (b) 0.5 (c) -115 (d) v b Let r = -1154 + 1165. Which is the closest to -2? (a) 2 (b) r (c) 2/9 c Let u = -11147 + 11146.8. What is the closest to u in -1/41, 1, -0.1, 0.1? -0.1 Let n be (-11)/(-44) + (-29)/4. Let r be (n - (-342)/45) + (-114)/15. Suppose -4*p = o - 2 + 4, 1 = -o - 3*p. Which is the closest to 1? (a) r (b) 1/6 (c) o b Let w = -577668 - -577663. Let g = -0.3 + 4.3. What is the closest to w in g, -0.4, 0.02? -0.4 Let j be (((-12)/(-1722))/(24/56))/((-2)/(-6)). Which is the nearest to 0? (a) -0.01 (b) 0.5 (c) j (d) -0.6 a Suppose 30*q = 9*q + 19 - 82. Which is the nearest to 2? (a) q (b) 24 (c) 0.1 (d) 1.2 d Let i = -0.067 - -0.0102. Let v = -6.9432 + i. What is the closest to -0.2 in -4, v, -3, 4? -3 Let z be -1 + -2 - (34/4 - (-1241)/(-146)). Let j be (-4)/4 - (0 + 1). What is the nearest to j in 0.4, z, -2? -2 Let v = 152.73 + -153. Let n = 332/507 - -2/169. Let g = -0.64 - -4.64. Which is the nearest to -1? (a) g (b) v (c) n b Let s = -3689 - -3689.3. What is the nearest to s in 5, 56, -2/11, 4? -2/11 Let t = 2 - 2. Let j = 28350 - 198452/7. Let x = 0.06 + 0.24. What is the nearest to t in j, 4, x? j Suppose 0 = -3*z - 193 + 190, -16 = -4*p + 4*z. Which is the nearest to 10.4? (a) p (b) 1 (c) -2/105 a Let x be 51 - 48 - 93/24 - (-6)/8. What is the nearest to x in -32, -2/17, 0.2? -2/17 Let v(n) = -n**2 + 9*n - 5. Let s be v(6). Let t = s - 38/3. Let d = 6277 - 81599/13. What is the nearest to -1/4 in d, t, -5? d Suppose j + 21 = -5*x, 5 = -2*x + 48*j - 45*j. Which is the closest to 2? (a) -1/4 (b) -2/85 (c) x b Let d = -7551.2 - -7551. Let k be (-8)/(-6)*(-4)/16. What is the nearest to 0 in k, 5, d? d Let v = 919 - 647. Suppose -3*u = 4*l + 18 - 46, 8 = 2*u. Let g be 2/v*l*-4. What is the closest to -2/7 in g, 2/41, 0.2? g Let k be (2/7)/(36/21). Let d = -2527 - -2527. Which is the c
{ "pile_set_name": "DM Mathematics" }
ment from {o: 1, c: 18}. 16/19 Calculate prob of sequence dxxd when four letters picked without replacement from {d: 15, x: 4}. 35/1292 Calculate prob of sequence okfk when four letters picked without replacement from {o: 1, m: 1, k: 4, f: 4}. 1/105 Calculate prob of sequence kak when three letters picked without replacement from jkkkajkjjkjkkjk. 4/195 Three letters picked without replacement from xiixiiiiixii. Give prob of sequence ixi. 9/55 Calculate prob of sequence mmmw when four letters picked without replacement from wmmmww. 1/20 Three letters picked without replacement from roarorar. Give prob of sequence roa. 1/21 Two letters picked without replacement from vdjqq. Give prob of sequence dj. 1/20 Two letters picked without replacement from yszttzzztsyz. What is prob of sequence zs? 5/66 Calculate prob of sequence kkku when four letters picked without replacement from uukuuuukkuu. 1/165 What is prob of sequence jp when two letters picked without replacement from cjoppoo? 1/21 Calculate prob of sequence hx when two letters picked without replacement from {h: 1, y: 1, x: 4, i: 1, z: 1}. 1/14 Two letters picked without replacement from {y: 5, p: 9}. Give prob of sequence yp. 45/182 Three letters picked without replacement from jjjiijjjjjiiijjjjj. What is prob of sequence iij? 65/1224 Calculate prob of sequence pkdx when four letters picked without replacement from pjdxbpdkxdjk. 1/495 Two letters picked without replacement from {j: 4, x: 3}. What is prob of sequence xj? 2/7 Two letters picked without replacement from nnvvvv. Give prob of sequence nn. 1/15 What is prob of sequence hhjm when four letters picked without replacement from jeehhchmhhjhe? 1/286 What is prob of sequence hrrf when four letters picked without replacement from {r: 2, f: 1, s: 1, h: 2, w: 1, x: 2}? 1/756 Calculate prob of sequence bbps when four letters picked without replacement from bspjj. 0 What is prob of sequence or when two letters picked without replacement from {t: 7, o: 2, r: 5}? 5/91 Two letters picked without replacement from {n: 3, e: 1, q: 1, s: 4, t: 6}. What is prob of sequence ts? 4/35 Two letters picked without replacement from {y: 11, l: 2, h: 1, o: 3, e: 2}. What is prob of sequence oy? 11/114 Calculate prob of sequence ccc when three letters picked without replacement from {c: 4}. 1 Two letters picked without replacement from pygyglyyxygyx. Give prob of sequence yp. 1/26 What is prob of sequence as when two letters picked without replacement from aaaqadsaaaqqsqsasaad? 2/19 Calculate prob of sequence llt when three letters picked without replacement from lltllt. 1/5 Calculate prob of sequence qbn when three letters picked without replacement from {q: 4, l: 1, n: 5, b: 1}. 2/99 Calculate prob of sequence sp when two letters picked without replacement from {f: 3, s: 3, p: 1, u: 4}. 3/110 Three letters picked without replacement from rfqfrqcrurrqr. Give prob of sequence fcq. 1/286 Two letters picked without replacement from {u: 9, d: 1, s: 4, f: 1, c: 3}. Give prob of sequence uc. 3/34 Four letters picked without replacement from {m: 6, c: 4}. Give prob of sequence mmmm. 1/14 Calculate prob of sequence octe when four letters picked without replacement from oeeeenqnotcqce. 5/6006 Two letters picked without replacement from {r: 4, q: 3}. What is prob of sequence qr? 2/7 What is prob of sequence hs when two letters picked without replacement from {h: 2, s: 4, l: 1}? 4/21 Calculate prob of sequence oi when two letters picked without replacement from {p: 1, a: 1, o: 1, w: 1, i: 1}. 1/20 Four letters picked without replacement from {e: 5, v: 3, c: 5, x: 1, w: 1}. Give prob of sequence cxce. 5/1638 Three letters picked without replacement from {c: 1, w: 2, v: 1, x: 1, p: 1, d: 2}. Give prob of sequence wxd. 1/84 What is prob of sequence liw when three letters picked without replacement from tliwwwwlll? 1/45 What is prob of sequence rlm when three letters picked without replacement from lhvrm? 1/60 Two letters picked without replacement from {u: 3, l: 4, v: 8, j: 3, i: 1}. Give prob of sequence vu. 4/57 Four letters picked without replacement from {q: 2, h: 1, c: 3, p: 3, b: 2, f: 4}. Give prob of sequence fqhf. 1/1365 Two letters picked without replacement from auirriwvv. What is prob of sequence ir? 1/18 Three letters picked without replacement from {v: 9, r: 3, o: 5, s: 1}. What is prob of sequence ovo? 5/136 Three letters picked without replacement from {s: 2, b: 5}. What is prob of sequence sbb? 4/21 Two letters picked without replacement from eennenceenceccenccce. What is prob of sequence ec? 14/95 Calculate prob of sequence uui when three letters picked without replacement from uiioiouoooouuooi. 1/70 What is prob of sequence qq when two letters picked without replacement from {q: 5, p: 4, y: 1}? 2/9 What is prob of sequence uuc when three letters picked without replacement from {c: 3, u: 2}? 1/10 What is prob of sequence ggc when three letters picked without replacement from gggggcggggggggg? 1/15 What is prob of sequence yd when two letters picked without replacement from ydewled? 1/21 Four letters picked without replacement from gngiignnggggginniggn. Give prob of sequence igng. 6/323 Calculate prob of sequence irq when three letters picked without replacement from {r: 1, i: 1, q: 2}. 1/12 What is prob of sequence pp when two letters picked without replacement from nppnnngegnnn? 1/66 What is prob of sequence emee when four letters picked without replacement from iemi? 0 Calculate prob of sequence jpd when three letters picked without replacement from {d: 2, j: 1, p: 2, x: 1, r: 2, u: 1}. 1/126 Three letters picked without replacement from {z: 1, e: 4, h: 2, v: 5, q: 2}. What is prob of sequence zvh? 5/1092 Calculate prob of sequence am when two letters picked without replacement from {a: 1, q: 1, m: 1}. 1/6 What is prob of sequence ts when two letters picked without replacement from {b: 3, t: 5, i: 2, e: 1, s: 1}? 5/132 Two letters picked without replacement from {t: 5, f: 5, w: 4}. Give prob of sequence tf. 25/182 Four letters picked without replacement from {m: 9}. Give prob of sequence mmmm. 1 Calculate prob of sequence oo when two letters picked without replacement from ooooooo. 1 Three letters picked without replacement from vevlkvvyvevvvnnvvy. Give prob of sequence ylk. 1/2448 Calculate prob of sequence cl when two letters picked without replacement from {e: 3, t: 5, k: 6, c: 1, l: 1, p: 1}. 1/272 What is prob of sequence ss when two letters picked without replacement from szzzsszztszzz? 1/13 Calculate prob of sequence jj when two letters picked without replacement from jrjjjrjrjjrjr. 14/39 What is prob of sequence kblm when four letters picked without replacement from {k: 1, b: 1, c: 4, m: 2, l: 1}? 1/1512 Calculate prob of sequence fi when two letters picked without replacement from {i: 5, f: 2}. 5/21 What is prob of sequence fvhx when four letters picked without replacement from xhvvnxff? 1/210 What is prob of sequence rr when two letters picked without replacement from rxrxrxxrrrhxr? 7/26 Three letters picked without replacement from ggygxgyyggyxy. What is prob of sequence ggx? 5/143 What is prob of sequence ffx when three letters picked without replacement from iiififiifxfifiiffffi? 1/95 Two letters picked without replacement from {s: 5, r: 5, u: 2, k: 3, d: 1}. Give prob of sequence ds. 1/48 Calculate prob of sequence qrw when three letters picked without replacement from rwwwdwrq. 1/42 Two letters picked without replacement from gddggdgggggggggg. Give prob of sequence gd. 13/80 Four letters picked without replacement from xzaatcptz. Give prob of sequence txzz. 1/756 Four letters picked without replacement from {d: 2, g: 4, l: 3, o: 1, i: 2, c: 6}. What is prob of sequence ilgi? 1/3060 Three letters picked without replacement from kkkkkkkkmkkkkkkkkkk. Give prob of sequence kmk. 1/19 What is prob of sequence hhi when three letters picked without replacement from {h: 2, i: 1, w: 6, e: 2, g: 3}? 1/1092 Four letters picked without replacement from hhjgjgvjkj. What is prob of sequence hggj? 1/315 Three letters picked without replacement from hhmxgexehgxgegggm. Give prob of sequence hxh. 3/680 What is prob of sequence qff when three letters pick
{ "pile_set_name": "DM Mathematics" }
fourth biggest value? (a) 0.02484 (b) -20.8 (c) -0.3 (d) 18 b Which is the sixth biggest value? (a) 5 (b) -2722 (c) 0.4 (d) -137 (e) 0 (f) 0.1 (g) -3 d Which is the fourth biggest value? (a) -0.21 (b) -2/3 (c) -76/11 (d) -0.08 c Which is the smallest value? (a) 1 (b) -323 (c) -152/7 (d) 14.61 b Which is the fifth biggest value? (a) 4/55 (b) -977 (c) 0.054 (d) 2 (e) -2 b Which is the fourth smallest value? (a) -0.802 (b) 44565 (c) -4 (d) -3/4 b What is the biggest value in 0.5, -5, -213, 2.75, 0.1, 0.28? 2.75 Which is the seventh biggest value? (a) 2 (b) 1 (c) -12/5 (d) -1701/10 (e) 0 (f) -3 (g) -2/7 d What is the fourth biggest value in 173.07, 3, 2/13, -1/10, -6? -1/10 What is the second biggest value in 8/5, -0.4, -2/179, 4, 1, 5, -3/40? 4 What is the second biggest value in -4/5, 5, 2/9, 29, 7/6, -40? 5 What is the smallest value in -3.6, 3, -1/42, -4, 1.04? -4 What is the smallest value in 2639, -0.067, -2/21? -2/21 What is the sixth biggest value in 1857, 30.3, 5, 0.6, -2, -0.5? -2 Which is the biggest value? (a) 1137 (b) -1 (c) 1.12 a What is the fourth smallest value in 0.4, 1/9, 5.8616, 73? 73 What is the biggest value in -1, 4, 44559718? 44559718 What is the sixth biggest value in -2, -0.335, 0.3, 4, 2, -0.39? -2 What is the sixth smallest value in -2/11, 37, 3/20, -1, 0.2, -3/8, 4/43? 0.2 Which is the fourth smallest value? (a) 3/4 (b) -2 (c) -1180.4 (d) -3/20 a Which is the second biggest value? (a) -0.1 (b) 2529 (c) -3/5 (d) 0 (e) -0.2 d What is the second smallest value in 15190748, 1/3, -3? 1/3 Which is the fifth biggest value? (a) 252 (b) -13 (c) -4/13 (d) 2 (e) -4/7 (f) -0.04 e What is the third smallest value in -1, 360015, 0.07? 360015 Which is the second biggest value? (a) 2/13 (b) 0.4 (c) -2/3 (d) 0.3 (e) -26 (f) -1/40 (g) -3/5 d Which is the fourth biggest value? (a) 1.6 (b) 0.6 (c) -2 (d) 2/9 (e) -40 (f) -11.3 (g) -0.3 g Which is the fifth biggest value? (a) 4/3 (b) -21 (c) -2.8 (d) -6/17 (e) -0.05 b Which is the smallest value? (a) 3/4 (b) 7 (c) 1/4 (d) -78844 d Which is the sixth biggest value? (a) -3 (b) -3/2 (c) 3/2 (d) 1 (e) -1615 (f) 0.3 e Which is the third biggest value? (a) 0.2 (b) -0.58 (c) -924 (d) -3 (e) -2/3 e What is the third smallest value in 38, 59, 0.4, -6271? 38 What is the smallest value in 1, 1/61, 97, 15, -2/7, 0.5? -2/7 What is the second biggest value in 5/11, 10.7194, 2? 2 Which is the second biggest value? (a) -2 (b) -83 (c) -28/5 (d) 0 (e) 2.37 d Which is the smallest value? (a) -0.5 (b) 3 (c) 6 (d) -6 (e) -0.1015 d What is the second smallest value in -2, 2/11, 5, -1/8, 4, -2.7, 0.186? -2 What is the smallest value in -23, 1411, -0.1, 1, 5, -4? -23 What is the biggest value in 4466, -5/186, -1/3? 4466 What is the biggest value in 9199.6, -4, 480? 9199.6 Which is the biggest value? (a) -4 (b) 1.63 (c) -2.7 (d) -0.9 b What is the fifth smallest value in 1/7, 0.4, -2103, -3/16, -22, -4, 2? 1/7 Which is the sixth biggest value? (a) -1/2 (b) 0.1 (c) 4/3 (d) -0.0906 (e) -5 (f) -0.2 e What is the third biggest value in 0.2, -0.056, 19, -0.047, 0? 0 What is the fourth biggest value in 0.3, 5, 12, -0.1, 0, -10.1, 53? 0.3 Which is the sixth smallest value? (a) 0 (b) -0.03 (c) -2.61 (d) 0.3 (e) -1 (f) 1/3 (g) -0.3 d What is the third biggest value in 0.5, 563, 158/203? 0.5 Which is the third smallest value? (a) 176 (b) 13991 (c) -1/2 (d) -0.4 a Which is the second biggest value? (a) -264/13 (b) -9 (c) -3/7 (d) 4 (e) 0.1 (f) -48 e Which is the second biggest value? (a) -2/9 (b) -1/8 (c) 0.4 (d) -46 (e) 9 (f) 0.115 c What is the seventh smallest value in -7, 612, 4, -2/3, 2, -1, 27? 612 Which is the fourth smallest value? (a) -69/8 (b) 6 (c) -5/3 (d) -1.144 b What is the fifth biggest value in -2, 2/21, 5, -0.2, -7.599? -7.599 What is the smallest value in 478, 2, 1771? 2 Which is the fifth biggest value? (a) -2053 (b) -11 (c) 0.07 (d) -0.1 (e) -0.08 (f) -5 b Which is the sixth smallest value? (a) 0.04 (b) -1/222 (c) 1/4 (d) -2/13 (e) -167/5 (f) 2/5 f Which is the second smallest value? (a) 8 (b) -6.1 (c) -63710 b Which is the third biggest value? (a) 11/5 (b) 4 (c) -1126 (d) -41 d Which is the biggest value? (a) -1 (b) -1/265 (c) -10259 (d) 4/5 (e) 0.2 d Which is the fifth biggest value? (a) -20050 (b) 353 (c) -3 (d) -0.3 (e) 1/7 a Which is the fourth biggest value? (a) 15 (b) -4 (c) 0.1 (d) -2/27 (e) 1482 (f) -15/4 (g) 2 c What is the fifth smallest value in 1/5, -1, 16653, 38, -4? 16653 What is the sixth biggest value in -2/3, 34, -4/3, -0.204, 2, -1, 2/5? -1 What is the smallest value in 12, -905, -184, -6/7? -905 What is the sixth smallest value in -23, 0, -2/7, 0.1, -5, -0.01? 0.1 Which is the third biggest value? (a) -31 (b) -124 (c) -0.7 (d) -0.4 (e) -0.5 c What is the biggest value in -3, -3973/14, -0.026? -0.026 What is the seventh biggest value in -0.13, 0, -0.3, 3, 14, -36812, 5? -36812 What is the third biggest value in -4, -98, -40, -3, -0.8, -0.3? -3 Which is the biggest value? (a) -4 (b) 12 (c) -25.032 b What is the biggest value in -1.413, 0.3, -23, -0.6? 0.3 Which is the fifth biggest value? (a) 3 (b) 72 (c) -7 (d) 17.3 (e) 2/5 c What is the second smallest value in -1/5, 0.5, -4, 2/15, 0.4, 1.48, 4.49? -1/5 Which is the second biggest value? (a) -27 (b) -4 (c) -1/9 (d) -0.2 (e) -0.221 (f) 2 (g) -3 c Which is the sixth biggest value? (a) 0.3 (b) -0.437 (c) 1/5 (d) 2/17 (e) -1/9 (f) -31 f Which is the sixth biggest value? (a) -0.2 (b) -62 (c) 519 (d) 1 (e) -0.3 (f) 0.12 b What is the fourth smallest value in 11, -0.3, 0.198, 4, -327/5? 4 Which is the fifth biggest value? (a) 4 (b) 48131 (c) 0.5 (d) -2/5 (e) -2 e Which is the fifth smallest value? (a) 21 (b) -4 (c) 12 (d) 2 (e) -0.4 (f) 45 a Which is the third smallest value? (a) -1 (b) -107 (c) 278 (d) 0.2 d Which is the fourth biggest value? (a) -91 (b) -1/3 (c) 2 (d) 2/9 (e) -336/17 e What is the third smallest value in -4, -0.15, 2789, -58, 3, -0.2? -0.2 What is the fourth smallest value in -125, -4/5, 9, 5, -20, 0.06? 0.06 Which is the third biggest value? (a) 14/9 (b) -1.3 (c) 1/2 (d) 1/46 (e) -1139 (f) 0.2 f What is the fifth biggest value in -232, 0, 3, -2, -4, 45? -4 What is the fourth biggest value in 19, 0, -10/11, -0.4, 1/7, -0.5? -0.4 What is the fifth biggest value in -1367, -1/15, -11, -0.5, -48? -1367 What is the second biggest value in 4, -1/4, 120, -2/47, -9, 2, -2? 4 What is the fourth smallest value in -2/5, 7, 0, -2/11, -0.17, -0.0156, 0.6? -0.0156 Which is the second biggest value? (a) 1/3 (b) -0.1 (c) -0.076 (d) -38 (e) -5 (f) -33/2 c What is the second smallest value in 123/53, 4, 13, 2, -0.1? 2 What is the second smallest value in 3/17, -4/7, 9/8, -4, 26? -4/7 What is the fourth smallest value in 12, -5, 115470, 1? 115470 Which is the third biggest value? (a) -1735 (b) 1 (c) -5 (d) 0.1 (e) 10 d Which is the seventh smallest value? (a) 2/17 (b) -0.4 (c) -26 (d) 5 (e) -0.012 (f) 248/5 (g) -4 f What is the second biggest value in -547, 14/13, -1/6, -0.12? -0.12 Which is the third biggest value? (a) -199 (b) -38862 (c) 4 b What is the second biggest value in 0.102, -1/2, 0.241, -70? 0.102 What is the third smallest value in -3/11, 0, 19447, 0.097? 0.097 Which is the third biggest value? (a) -70 (b) 1/4 (c) 5 (d) -1 d What is the third biggest value in 735, -3/5, 597? -3/5 What is the second biggest value in 0.066, 9, -2/15, 2, -0.1, -8, 4? 4 Which is the second biggest value? (a) -0.07 (b) 4 (c) 3307 (d) -2/5 (e) 2/15 (f) 0.03 b What is the third biggest value in -0.20664, 2, 147? -0.20664 Which is the fourth biggest value? (a) -2 (b) 4 (c) 2/3 (d) -1/158 (e) -0.03 (f) 0.4 d Which is the second biggest value? (a) -5630 (b) -3 (c) 465 (d) 2 d Which is the biggest value? (a) -13832/9 (b) 6 (c) 4 (d) -5 (e) 5 (f) 3 b Which is the fifth smallest value? (a) 7 (b) -0.1149 (c) 10 (d) -1 (e) 2 c What is the second smallest value in 4110, -0.27, 372? 372 What is the third biggest value in -139773, 1/5, -2.8, 1/2, 3? 1/5 Which is the seventh smallest
{ "pile_set_name": "DM Mathematics" }
*o) + 2*o**2 - 2*o + 2*o)*(2*o - 2*o - o). -7*o**3 Expand -24 + l + 24 + l + 2 - 2 + 3*l + 0*l - 2*l + (0 + 2 - 3)*(-4*l + 0*l + 3*l) + 0*l - 3*l - 3*l + (3 + 0 - 2)*(-l + 2*l - 3*l). -4*l Expand (0*m + 0*m + 7*m - 1)*(-2*m - 3*m + m). -28*m**2 + 4*m Expand (-v + v + v)*(-3 + v + 3) + (v - 4*v + v)*(-4*v + 6*v + 5*v). -13*v**2 Expand 0*x**4 + 0*x**4 + x**5 + (2 - 1 + 1)*(5*x**5 + x**5 - 10*x**5). -7*x**5 Expand (-13*x + 8*x**4 + 13*x)*(0 + 4 - 3) - 2*x**4 + 3 - 3. 6*x**4 Expand (-2138 - 17*j**2 + 2138)*(4*j - 4*j + j**3)*(-4 - 1 + 3). 34*j**5 Expand (-q + 4*q - 2*q)*(q - q + q)*(-2 - 3 + 0). -5*q**2 Expand 2*i**2 + 0 + 0 + (-i + 2*i - 2*i)*(-4*i + i + i) - i**2 + 0*i**2 + 0*i**2 + 2*i**2 + 0*i + 0*i. 5*i**2 Expand (-1 + 4 + 9)*(-o**2 + 0*o**2 - o**2). -24*o**2 Expand (-3*g**3 - 6*g**2 + 6*g**2)*(-1 + 5 + 0)*(2 + 2*g - 2). -24*g**4 Expand 3*m**5 - 2*m**5 + 2*m**5 + (-3*m**3 + 2*m**3 - m**3)*(-4 + 4 - m**2) + 0*m**5 + m**5 + m**5. 7*m**5 Expand (3 - 2 + 1)*(-4*v + 0*v + 2*v) - 7 - 3 + 5*v + 13. v + 3 Expand 4*x - 3*x - 3*x - x**2 - x**2 + 3*x**2 - 3*x**2 + (x - 2*x - x)*(0*x + 2*x + x). -8*x**2 - 2*x Expand (2*f + 0 + 0)*(10 - 9 - 19). -36*f Expand 2*k**3 + k**2 - k**3 + k**3 + (-45 + 45 + 12*k**2)*(4*k - 2*k - 5*k). -34*k**3 + k**2 Expand (-2*p + 3*p + p)*(-6*p**2 - p**2 + 2*p**2) + 11*p**3 - 15*p**3 - 19*p**3. -33*p**3 Expand ((0 + 0 - 4)*(c + 0*c + 0*c) + 3*c - c + 0*c - 3*c + 3*c - 3*c)*(9 - 9 + 2*c**3). -10*c**4 Expand (20*u**2 - 5*u + 3*u - 4*u**2)*(0*u + 0*u + 2*u**3). 32*u**5 - 4*u**4 Expand (0 - 3 + 1)*(-2*v**4 - v**2 + v**2) + 327 - 20*v**4 - 327. -16*v**4 Expand -4*p**4 + 6*p**4 + 0*p**4 + (4*p + 23*p**3 - 4*p)*(3*p + 1 - 1). 71*p**4 Expand (g**5 - 4*g**5 + 4*g**5)*(-1 - 4 + 0). -5*g**5 Expand (0*s**4 + 3*s**4 - 2*s**4)*(2 - 2 - 2*s) + 0*s**5 + 5*s**5 - s**5 - 3*s**5 - s**5 + 2*s**5 + (-s**3 - 2*s**3 + 2*s**3)*(-3*s**2 - 2*s**2 + 4*s**2). s**5 Expand 3*v**4 - 2*v**4 + v**4 + (2*v**4 + 2*v**4 - 6*v**4)*(-5 + 3 + 1) + (3*v - 5*v + v)*(-3*v**3 + 2*v**3 - v**3). 6*v**4 Expand -10*p**4 - 16*p**5 + 10*p**4 + (1 + 1 - 3*p**5 + p**5)*(4 - 5 + 2). -18*p**5 + 2 Expand (-q + 0*q - q)*(-2*q**2 + 0 + 0). 4*q**3 Expand b - 3*b + b + (4*b - 3*b + 8*b)*(-3 + 2 + 0). -10*b Expand (0*y + 2*y + y)*(y - 1 - 4*y + 0). -9*y**2 - 3*y Expand (p**3 + 3*p**2 - 3*p**2 + (-6*p**3 + 0*p**3 + 4*p**3)*(-4 + 2 + 4))*(-8 + 5 - 11). 42*p**3 Expand (-2*h**3 + 2*h**3 + h**3)*(h + 0*h + 0*h) - h**4 - 2*h**4 + h**4 + h**2 - 2*h**2 + 1 - 2*h**2 - 2*h**4. -3*h**4 - 3*h**2 + 1 Expand (-2*k + 6*k - k)*(4*k - 2*k + 3*k) - 6*k**2 + 4*k**2 - 8*k**2. 5*k**2 Expand (0 - 1 + 3)*(1 - 1 - 2*a + 6*a - a - 4*a + (2*a - a + 0*a)*(1 + 0 - 3) - a + a + 2*a + 28 - 28 - 11*a). -24*a Expand (2*s + 5*s - 4*s)*(3 - 3 + s**2)*(-s + 0*s + 2*s)*(-3 + 5 - 3). -3*s**4 Expand (-4 - 1 + 2)*(0 - 2 + 0)*(-2*r**3 + 2*r**3 - 4*r**3). -24*r**3 Expand -o**2 - 3*o**2 + 3*o**2 - 4 + 4 + o**2 + (0*o + o**2 + 0*o)*(-3 + 2 + 2) + 0*o + 0*o + 2*o**2 + o**2 + 2 - 2. 4*o**2 Expand (-2 - 1 + 2)*(3*x**2 - x**2 - x**2) - 4*x**2 + 15 - 15 + (-x + 2 - 2)*(2 - x - 2). -4*x**2 Expand (-2 - 2 - 1 + 9)*(169 - 169 + 28*b**3). 112*b**3 Expand (-15*z**2 - 41*z**2 + 135*z**2)*(4*z - z - z). 158*z**3 Expand (-g - g + 0*g)*(-g - 4*g - 3*g - 1). 16*g**2 + 2*g Expand (-1 + 1 - 1 + (4 - 3 - 2)*(0 - 2 + 4) - 1 - 1 + 0)*(0*b + b**2 + 0*b). -5*b**2 Expand (-u + 6*u - 2*u + (-7 + 4 + 1)*(u + u + 0*u) - u + 2 - 2)*(4*u**2 - 7*u**2 + 5*u**2). -4*u**3 Expand (0 + 0 + 2)*(3*l + 0*l - 6*l + 3). -6*l + 6 Expand 59*t**4 + 25*t**4 + 200*t**4 + (-2*t**2 - t + t)*(-3 + 3 - t**2). 286*t**4 Expand (-s + 0*s - s + (-2 + 7 - 4)*(-4*s + 2*s + s) + 10 - 11*s - 10)*(-1 + 1 + 2*s**3 + (2*s - 2*s + 2*s**2)*(-s + 3*s + 0*s)). -84*s**4 Expand (-2 + 4 - 1)*(0*m + 5*m - 3*m) - 3 + 5*m - 3*m + 5*m. 9*m - 3 Expand (5 - 12 - b - 5)*(0*b + 5*b - 2*b) + 3*b**2 - 6*b**2 + 2*b**2. -4*b**2 - 36*b Expand -5*p + 6*p - 9 + 0*p - 3*p + 2*p - p + (0*p + 2*p + 0*p)*(-2 + 3 + 1) - 2 + p + 2. 4*p - 9 Expand 3*m**2 - m**2 - 3*m + m**2 + (-m + 1 - 1)*(-m - m + 0*m). 5*m**2 - 3*m Expand (0 + 3 + 2)*(2*n**2 + 0*n + 0*n) - 4*n**2 - 3*n**2 + 5*n**2 + (4*n - 2*n - n)*(-2*n - 1 + 1). 6*n**2 Expand (-b + 1 - 1)*(0 + 4 - 3) - 22*b + 997 - 997. -23*b Expand (-2*y - 4*y + 0*y)*(-2*y**2 - 5 + 5). 12*y**3 Expand (3 + 2*a - 3)*(2 - 2 + 2)*(-3 - 1 + 0)*(0 - 1 - 1). 32*a Expand (1 - 1 - q + (0 + 4 - 2)*(5*q - 5*q - 3*q))*(q**2 - 2*q**4 - q**2). 14*q**5 Expand -m + m - 2*m**4 + (4*m**2 - m**2 - 5*m**2)*(0*m**2 + m**2 + 0*m**2) + (4*m**3 - 7*m**3 - m**3)*(-3*m + 0*m + m). 4*m**4 Expand (2*k + 2*k + 3*k)*(1 + 2*k - 1) - 7*k**2 - 2*k**2 + 2*k**2. 7*k**2 Expand (0 - 1 - 1)*(7*w**2 - 57*w**2 - 23*w**2 - w**2). 148*w**2 Expand (-4*h**2 + 4*h**2 + h**2 + (4*h - 5*h + 3*h)*(3*h - 5*h + 0*h))*(0 - 4 + 2). 6*h**2 Expand -v**3 + 18*v + v**2 - v**3 - 2*v + (-2*v**2 - 2 + 2)*(-v - 2*v + 4*v). -4*v**3 + v**2 + 16*v Expand (-s - 2*s + 4*s)*(0*s**3 - 4*s**3 + 3*s**3) - s + s**4 + s + (-s**2 + 2*s**2 - 3*s**2)*(0 + s**2 + 0). -2*s**4 Expand (-4 + 5 - 3)*(32*v**3 - 6*v + 4*v - 27*v**3 + (-4 - 1 + 3)*(-2*v - 2*v**3 + 2*v)). -18*v**3 + 4*v Expand ((q + 0*q - 2*q)*(-5 - 5 + 0) + 0 + 0 + q)*(0 - 2*q + 0). -22*q**2 Expand (-2*x + 3 - 3)*(2 - 5 + 1)*(-4*x - 10*x - 7*x)*(2*x + 2*x**2 - 2*x). -168*x**4 Expand 3*t**2 + t**2 - t**2 + (t + 0*t + t)*(2*t + 3 - 3) - 2*t**2 + t - t. 5*t**2 Expand (-1 - y + 1)*(2 + 2 - 2) - 3*y - 3 + 3 + (-3*y - y + 3*y)*(-5 + 3 + 0). -3*y Expand (-1 + 3 - 1)*(25*p**2 + 13*p**2 - 13*p**2)*(-p + 4 - 4). -25*p**3 Expand -7*t**2 + 4*t**2 + 3 + 10*t**2 + 0 + 0 + t**2 + (4*t - t - 2*t)*(-3*t + 2*t + 3*t). 10*t**2 + 3 Expand (-2*r**3 - r**3 - r**3)*(-2 + 3 + 1)*(9 + 5 - 2). -96*r**3 Expand (-1 + 2 + 0)*(-2*s**5 - 3*s**4 + 3*s**4) + (-5*s**4 + 3*s**4 + 4*s**4)*(3*s - 3*s + 2*s) + 5*s**5 - 56*s**2 + 56*s**2. 7*s**5 Expand (3*z - 4*z - 2*z)*(0*z**4 + 4*z**4 - 6*z**4). 6*z**5 Expand (-c**2 + c**2 - 2*c**2 + (1 - 3*c - 1)*(c + 0 + 0))*(3*c**2 + 0 + 0). -15*c**4 Expand (-3*r - 2*r + 6*r)*(2 - 2 - 1) - r + 3*r - 4*r + 1 - 1 - r - 2 + 2 - r + (2 + 2 - 2)*(-r + 2*r - 2*r) + 0*r + 0*r + r - r - r + 0*r - r - 4*r + 2*r. -11*r Expand (3*x - x - 3*x)*(-3 - 29*x + 30*x + 0). -x**2 + 3*x Expand -2*j**4 + 2*j**4 + 2*j**4 + (-1 + 8 - 1)*(-j**4 + 3*j**4 - j**4). 8*j**4 Expand (-2 + 5 - 4)*(19*v**3 - 40*v**3 - 38*v**3). 59*v**3 Expand (1 + 2*q - 1)*(-2 - q + 2) - q**2 + 2*q**2 - 2*q**2 + 0*q**2 - q**2 + 2*q**2 + (q - 4*q + 0*q)*(2*q + 3*q - 4*q). -5*q**2 Expand (-2 - 2*l + 2)*(0 - 3 + 5) - 32 + 2 + 5 - 2*l. -6*l - 25 Expand -6*z**5 + 21*z**2 - 21*z**2 + (-2*z**2 + z**2 + 0*z**2)*(4*z - 3*z**3 - 4*z). -3*z**5 Expand -4 - 2*b**5 + 4 + (-b + 2 - 2)*(2*b**3 - 2*b**3 + b**4) - 4*b**5 + 3*b**5 + 3*b**5. -b**5 Expand -4*a**3 + 0 + 0 + (2 - 2*a - 2)*(0*a**2 + a**2 - 2*a**2) - a**3 + 0*a**3 + 3*a**3 - 3*a**3 - 3*a**3 + 5*a**3 + a**3 - 2 - 5*a**3 + 3*a**3. -2*a**3 - 2 Expand -5*h**4 - h**4 + 5*h**4 + (5*h - 2*h + 0*h)*(2*h + 0*h + h)*(-3*h**2 + 2*h**2 + 2*h**2). 8*h**4 Expand (i + 2 - 2)*(710 - 710 - 32*i)*((-2 - 3 + 3)*(3*i - i**3 - 3*i) + 2*i**2 - 2*i**2 + 2*i**3). -128*i**5 Expand -15*o**3 - 4*o**3 + 6*o**3 + (o - o - o)*(4*o**2 - 2*o**2 + 0*o**2) + (2*o**2 - 2*o + 2*o)*(-3*o + 3*o + 4*o). -7*o**3 Expand (-57 + 57 - u)*(-u**2 - 2*u + 2*u) + 4*u**3 - 4*u**3 + u**3. 2*u**3 Expand (3*j + j - 3*j)*(2 - 2 - j)*(1 - 5 + 1)*(-j**2 + 0*j**2 + 2*j**2). 3*j**4 Expand (2*n**3 + 0*n**3 - n**3)*(0 - n + 0 + (0 - 2 + 1)*(-2*n - 1 + 1)). n**4 Expand ((1 + 0 + 1)*(1 - 5 + 3) - 2 - 1 + 4 + 19 - 19 + 18)*(i + 0*i + 0*i). 17*i Expand (4 + 17 + 3)*(-2*r**2 + r**4 + 2*r**2). 24*r**4 Expand (-5 + 3*k + 5)*(1 - 2 - 1)*(-2 + 0 - 2). 24*k Expand (3 + 0 + 5)*(3*g - g**5 - 3*g). -8*g**5 Expand (21*w**2 - 4*w**2 + 20*w**2)*(3*w**2 - w**2 + w**3 + 0*w**3). 37*w**5 + 74*w**4 Expand (-6*m**4 + m**3 + 2*m**4 - 4*m**4)*(-2*m - 5*m + 4*m). 24*m**5 - 3*m**4 Expand 3*x - 3*x + 3*x**5 - 3*x**5 + 2 - 2 + 0*x**5 - 2*x**5 + x**5 + (-4*x**3 + 4*x**3 + 2*x**3)*(-3*x**2 + 5 - 5) + x**4 + 2*x**5 - x**4. -5*x**5 Expand (n**3 - 7 - 4 + 5)*(-n**2 - n**2 + 3*n**2). n**5 - 6*n**2 Expand (-v**2 - 4*v + 4*v)*(-5*v**2 + 3*v**2 + 3*v**2) - 2*v**4 + 8*v**2 - 8*v**2 - 2*v**4 + 3*v**3 - v**3 - v**3. -5*v**4 + v**3 Expand 5*f**5 - 3*f**5 + 0*f**5 + f**5 + 0*f**5 + 0*f**5 +
{ "pile_set_name": "DM Mathematics" }
*j + 180. Let r be q(16). Solve 2*g + 6 = r for g. -1 Suppose -51*c = -59*c + 120. Solve -5*u - c = -2*u for u. -5 Let y(p) = p - 2. Let f be y(7). Suppose f*k - 19 = 81. Suppose -4*d = -4*w + k, 0 = -0*d - d. Solve 4*o + w + 11 = 0 for o. -4 Suppose -3*t - g - 10 = -3*g, 10 = t + 2*g. Suppose t = -5*b - 5. Let a be -3 - (-3 - 2) - b. Solve -3 - 12 = a*h for h. -5 Let w(m) = m**2 + 8*m + 2. Let h be w(0). Solve -h*a + 5 = -3*a for a. -5 Let d = -381 - -399. Solve d*y = 23*y + 25 for y. -5 Let k = -30 + 16. Let y = -9 - k. Let z = y + -2. Solve -5*v = z + 12 for v. -3 Let b be (0/2)/(0 + 1). Suppose -3*k = -y - 12, 5*k + 121 = y + 143. Solve -4*t + y*t + 1 = b for t. 1 Let g = 3 - 1. Suppose 5*n = -5*w + 5, 0 = -6*n + 2*n - 2*w. Let h be (-5)/n - 9/9. Solve h = -2*p - g for p. -3 Suppose 4*g - 2*c = 12, -6 = -0*g + g + 4*c. Solve -g*r - 3*r = 0 for r. 0 Suppose 0 = -3*n + 12, -2*m - 1 = n - 5. Suppose -4*j - 16*j = m. Solve j = -2*p + 3*p + 1 for p. -1 Suppose 30*o - 24*o - 36 = 0. Solve 0 = 2*f - 0 - o for f. 3 Let l = 3 - -2. Let n(q) = -q**2 + 9*q - 5. Let r be n(8). Let o be -3 - -7*(r + -2). Solve -o*m - l = m for m. -1 Let w = 805 - 790. Solve 22*a - 7 = w*a for a. 1 Suppose 0 = -0*d - 2*d + 8. Let g = d - -8. Solve s = 5*s - g for s. 3 Let m(i) = i**3 + 23*i**2 - 24*i + 6. Let f be m(-24). Solve 4*o - f*o = 4 for o. -2 Suppose 6 = -5*u + 66. Suppose -3*g + 2*o + u = 0, 2*g + 5*o + 9 = -2. Solve g*t - 3 + 5 = 0 for t. -1 Suppose 3*x + 8*t - 4*t + 4 = 0, 4*t = -4. Solve x = 7*s + 5 + 2 for s. -1 Let i = -27 - -50. Let b = i - 12. Solve 4*h + 1 + b = 0 for h. -3 Suppose 2*g = -3*g + 3*g. Solve -3*o + 2*o = g for o. 0 Suppose 5*c - 8 = -2*k - 1, -2*k + 3*c = 1. Suppose 4*x - 9*x = -5. Solve x + k = w for w. 2 Let g(c) be the second derivative of c**4/12 - 4*c**3/3 + 5*c**2/2 + c. Let t be g(6). Let s = -5 - t. Solve s + 7 = -3*z for z. -3 Let g = 87 - 27. Suppose -16*x = -21*x + g. Solve x = -3*k - k for k. -3 Let j be (88/32)/(2/8). Suppose -j*o + 10*o + 4 = 0. Let t = 5 + -4. Solve 0 = -3*n + o*n - t for n. 1 Let b be 23/(-7) - 6/(-21). Let u = b + 8. Let w = u + -1. Solve 0 = 2*c - w*c for c. 0 Let p = 10 + -5. Suppose -4*j + 2*j = -48. Suppose -15*t - j = -17*t. Solve 2*s = p*s - t for s. 4 Let p(r) = r**2 - 2*r - 12. Suppose 12*g = 9*g + 15. Let v be p(g). Solve 0 = b + 2*b - v for b. 1 Suppose l + 14 - 21 = 0. Solve -27 + l = -4*g for g. 5 Suppose 0 = 4*b + 5*s + 38 - 17, -5*s = -3*b + 28. Let w(y) = y - 5. Let c be ((-3)/1)/3 + 10. Let f be w(c). Solve f = -p + b for p. -3 Let n = -46 + 28. Let x be (n/24)/(1/(-4)). Suppose -4*s = -3*k + 26, -2*k + x*s + 4 = -15. Solve -k*z = -3*z for z. 0 Let h be -3 - (-7)/((-14)/(-12)). Suppose -5*b = -4*u - 14 - 11, 3*b = h*u + 15. Suppose u = y - 2*s - 4, -3*y - s + 4*s = -12. Solve 3*x = y*x - 2 for x. 2 Suppose 11 = 6*c - 5*c. Let q = -9 + c. Suppose 5*u = -4*h + 21, -8 = -h - q*u - 2. Solve -6 = n - h*n for n. 2 Let h(v) = v**2 + 11*v - 24. Let q be h(-13). Suppose t = 5*m - 10 - 11, 0 = -q*t + m - 24. Let p = 15 + t. Solve p - 9 = -5*i for i. 1 Let t be (-18 - 2)*3/(-6). Suppose -t + 4 = -2*m. Solve -21 + 9 = m*x for x. -4 Let p(j) = -j**2 + 8*j - 12. Let y be p(6). Let g be y/9 - (-2)/(-2)*0. Solve -3*x - 12 = -g*x for x. -4 Suppose -5*s = 3*z - 31, z + 0*z - 9 = -3*s. Solve -18 = -3*h + z*h for h. -2 Suppose -3*r - 3*b + 44 = -5*r, 42 = -2*r + 4*b. Let d = 30 + r. Solve -3 + 13 = -d*y for y. -2 Suppose 30 = -7*i + 2*i. Let h = i + 9. Suppose o - 4 = -h*a + 2*o, -3*o + 15 = 0. Solve -4 = d - a for d. -1 Let m be (3 - -6) + 22/22. Solve 2*w - m*w = -32 for w. 4 Suppose -4*b + 9*b + 5*v - 245 = 0, 4*b - 2*v = 196. Let u = -46 + b. Solve 0*l = u*l - 9 for l. 3 Let x be (-26 - -19) + (5 - -2). Solve -4*o = -7*o - x*o for o. 0 Let c = -4 - -7. Let y(f) = f**2 - 2*f - 1. Let l be y(4). Let v be 18/33*(-616)/(-21). Solve c*h - l*h = -v for h. 4 Let f be -1 + -2 - (2/(-2) - 4). Solve f*z = 3*z - 1 for z. 1 Let s be (-3 + 0 + 2)*22/(-2). Solve s = q + 10 for q. 1 Let l(x) = 2*x**2 - 4*x + 5. Let r(s) = 2*s - 4. Let k be r(3). Let w be l(k). Suppose -2*f = 3*c - 0*c - 2, 3*c = -4*f + 4. Solve c*y - w = y for y. -5 Let j be 9/(-12) - (-2 - (-25)/20). Suppose 0 = -3*b + 2*z + 18, z + 23 = 5*b - j*z. Solve -b*d - 9 = -d for d. -3 Let u(x) be the first derivative of x**3/3 + 2*x**2 - x + 1. Let w be (196/(-70))/(6/15). Let g be u(w). Solve -g = y + 4*y for y. -4 Suppose 0 = 5*g + 2*g - 91. Solve -g*x = -10*x + 9 for x. -3 Let y = -66 - -76. Let z be 6/(-9) + -1*y/(-15). Solve 3*m - 15 = -z*m for m. 5 Let p be (-66)/(((-18)/(-12))/((-6)/8)). Suppose -p = 3*d - 72. Solve -3*b = -d - 2 for b. 5 Let o(n) = -n - 5. Let t be o(-8). Let r be (t/(-9))/(1/(-6)). Suppose -3*p = -5*p + 4. Solve -p*d - 8 = r*d for d. -2 Let k = 158 - 170. Let q = -15 - -27. Let c = q + k. Solve l = 2 - c for l. 2 Let z(o) = o**3 + 4*o**2 + 3*o + 1. Let b be z(-3). Suppose 5*n - 11 + b = 0. Suppose 6 = -2*r, -35*t + 40*t - 32 = 4*r. Solve n*p - t = -0*p for p. 2 Let c = -1360 + 1376. Solve -11*l = -7*l - c for l. 4 Let y(i) = -i**2 - 42*i + 653. Let o be y(-54). Solve -o*d = -8*d + 6 for d. 2 Let t be -1 + 0 - (-22 - -2). Let y = 48 - 32. Let a = -15 + y. Solve -5*b = a + t for b. -4 Suppose -227*q = -219*q - 40. Let t be (0 + -1)/((-2)/22). Solve -q*f + t = -4 for f. 3 Suppose -3*b = 3*y - 15, -b + 2*y = 3 + 1. Suppose 0 = 3*k + 3*k + 144. Let d = k + 27. Solve b*j + d + 7 = 0 for j. -5 Suppose -z - 2*l - 10 = -7*l, 5*l - 10 = 0. Solve -2*t - 6 = -z*t for t. -3 Let a(f) = f**2 + 3*f - 24. Let k be a(-7). Suppose t + k = -2*w + 3*t, -4*t = 4*w - 16. Solve -4*m + w = -7 for m. 2 Let q(b) = -b**3 - 8*b**2 - 6*b + 6. Let k be q(-6). Let z = k + 33. Solve 0*w - w = -z for w. 3 Let l = 25 - 62. Let y be (41*(-3)/(-3))/1. Let q = l + y. Solve -q = 3*g - g for g. -2 Let y = -77 - -77. Solve y*r = 7*r for r. 0 Suppose 0 = 23*a - 66*a + 1591. Solve 40*s - 15 = a*s for s. 5 Let l(a) = -a**3 - 5*a**2 - 12*a + 21. Let x(k) = k**3 - k**2 + k - 1. Let p(m) = l(m) + 2*x(m). Let h be p(8). Solve h*f - 2*f = -3 for f. -3 Suppose 5*g + b - 17 - 10 = 0, 0 = -3*g - 5*b + 3. Let q be ((-2)/g)/((-13)/39). Solve -4 - q = -t for t. 5 Suppose 2*x + 2 = x. Let f(g) = g**3 + g**2 + 2. Let j be f(x). Let c be (j/3)/(4/(-84)). Solve 5 = -3*k + c for k. 3 Let y be (12/18)/((-4)/102). Let m be y/(-5) - 3/(-5). Solve -m*j - 10 = j for j. -2 Let q(o) be the third derivative of o**5/30 + 11*o**4/24 + 13*o**3/6 - 18*o**2. Let p be q(-5). Solve 3*f - 1 = p for f. 3 Let y(c) = -6*c**3 + 2*c**2 - 1. Let r be y(-1). Let i = r - 4. Let p(n) = 6*n - 5. Let a be p(1). Solve -i*t - 11 = a for t. -4 Let h(y) = -1 - 6 - 3*y + 4*y. Let r be h(9). Suppose 2*d - d - 4*k = -r, -2*k - 2 = -2*d. Solve -s = d*s - 6 for s. 2 Let p = -24 + 27. Let x be 3/5*(9 - 4). Solve x = 2*v - p for v. 3 Let m(k) = 2*k + k**2 + k + 0*k**2 - 20 + 21. Let p be m(-4). Suppose -3*x - p*q + 32 = 0, -x + 4*q - 32 = -5*x. Solve w - 9 = -x for w. 5 Let p be (-15)/10 - 15/(-2). Let h(w) = 2*w**2 - 9*w + 2. Let g be h(p). Solve -5*q - g = 5 for q. -5 Let z be (-15)/6*82/(-5). Let a = -21 + z. Solve -3*m - a = -8*m for m. 4 Suppose 3*w = 2*w - 2, 5*k + w = -77. Let f = k + 9. Let y be (0*(-3)/f)/1. Solve d + 2*d = y for d. 0 Let g be 51*(-2)/(-6) + (3 - 6). Solve -g*u + 11*u = -15 for u. 5 Suppose -a = -11*a. Solve -f - 13 + 18 = a for f. 5 Suppose -4*t + j + 9 = 4*j, 3*t = -5*j + 4. Suppose -t*q = -2*z + 2*q + 14, -2*z - q = -2. Solve -4 = z*u - 2 for u. -1 Let m = -47 + 91. Let x = 44 - m. Solve -5*n = -10 - x for n. 2 Suppose z + 53*r - 51*r = 13, -3*r - 3 = -3*z. Solve 5*y + 20 = -z for y. -5 Suppose 7*m = 10*m - 6. Let t(z) = -3*z + 1. Let l be t(-1). Suppose 3*d + 4*j - 5 = -m*d, -l = -4*d - 2*j. Solve 0 = -2*c + d - 11 for c. -5 Suppose 39*h - 765 = 30*h. Solve -107 + h = 11*m for m. -2 Suppose 5*i + 5 = 0, 2*n - i - 3*i = 18. Suppose n*y + 4 = 11. Solve 0 = -3*p + y + 5 for p. 2 Let g(o) = 40*o**2 + 2*o + 1. Let u be g(-1). Let a = 568 - 603. Let h = a + u. Solve 3*d - 5 = h*d for d. -5 Let z(c) = 6*c**2 - c - 1. Let f be z(1). Let l(h) = -5*h - 5. Let u be l(-2). Solve -f*j - 2 = -u*j for j. 2 Suppose 4*l + 0*l = 0. Suppose l*i + 29 = x + 5*i, -4*x - i + 21 = 0. Solve x*h = 3*h for h. 0 Suppose 0
{ "pile_set_name": "DM Mathematics" }
27 What is the value of ((-5)/(-13))/(372780/76518)? 3/38 What is (-10)/44*(-280)/490*7? 10/11 Evaluate ((-11536)/24)/206*(-40)/(-35). -8/3 (6/(-27))/(410/492*(-16)/50) 5/6 What is 1554/666*(-120)/14? -20 (9*(-52)/(-585))/(32/1000) 25 What is 66/1056*6*-104? -39 Calculate (19665/3059)/((-9)/2). -10/7 What is the value of (-2616)/(-4360)*(-215)/(-3)? 43 What is ((11058/(-3977))/57)/4? -1/82 Evaluate (8/2)/((-103)/(48204/504)). -26/7 Calculate 594/165*(-16)/(-6)*101/(-2020). -12/25 What is (((-2)/(-24))/((-119)/(-26775)))/((-5)/(-200)*-15)? -50 12/2*(184/(-23))/(-8)*-6 -36 Evaluate (-5*(-20)/(-2550))/(32/(-21888)*-19). -24/17 (22/(-1))/((-84)/(-20160)*-88) 60 Calculate ((-22806)/(-252))/(-181)*(-30)/4. 15/4 What is the value of ((-192)/(-33984)*649)/(((-7)/35)/(3/(-5)))? 11 (((-98)/525)/7)/(18/1755*-13) 1/5 Evaluate (-6806)/88478*2/(24/(-9))*-4. -3/13 ((-4)/(-4))/(((-36)/270)/((-42)/(-21))) -15 What is the value of (-272*(-49)/7497)/(2/(-36))? -32 (-1)/(-16)*-4*((-2)/(-2))/((-3311)/308) 1/43 Evaluate ((4/(-14))/(1989/(-106743)))/(2/(-12)). -92 (21/(-270)*-6)/(1400/900) 3/10 Calculate (((-16)/(-88))/((-9)/(-33)))/((-4)/(-36)*6). 1 Calculate ((-24)/4)/(((-183)/2135)/((-18)/28)). -45 Evaluate (3948/6909)/((-50)/7). -2/25 Calculate (-21032)/(-239)*(-1)/64*-4. 11/2 (83/(-2490))/(((-5)/(-2))/5*-1) 1/15 Evaluate 105*58/36540*(-24)/(-58). 2/29 Calculate (-336)/(-84)*((-2)/4)/(3/261*-3). 58 Calculate 3*(-42)/784*7. -9/8 What is 7/(42/344)*(774/4816)/((-12)/(-112))? 86 Evaluate (((-700)/(-3))/(-7))/((62/3)/(-31)). 50 What is the value of 248*485/(-2328)*((-36)/10)/3? 62 Evaluate (2378/41)/((-585)/(-90)*(-4)/(-13)). 29 What is the value of 45*(-61)/(-366)*((-24)/15)/4? -3 Calculate (((-915)/4941)/(15/(-54)))/(13/6). 4/13 What is 27/72*(-88)/(-11)*(-3)/63*-22? 22/7 What is the value of 2*13*(-8)/4*-32*58/3712? 26 What is the value of (-74)/(7104/45)*(-8)/10*-4? -3/2 Evaluate ((-9)/3*1)/((7007/(-735))/143). 45 Calculate 60*-6*((-255)/270)/17. 20 What is 5*(-13)/1300*30*5/(-60)? 1/8 Calculate ((-498)/2905*14/68*2)/(66/440). -8/17 2/(-2)*(-678)/22*48/(-1296)*99 -113 What is ((-54)/(-4))/(30/(-2400)*40)? -27 (115/(575/18))/((-6)/(-16))*20/6 32 (-36)/(-12)*(-206)/(-10)*27/(81/5) 103 ((-6)/(-77))/(231*(-48)/(-40656)) 2/7 What is the value of 2/(((-257)/(-47545))/(2/20))? 37 Calculate ((-5)/4*(-192)/120)/((-10)/145). -29 What is the value of (820/533)/(96/3432)? 55 Evaluate (-3)/(-30)*20/(-6)*144/(-816). 1/17 Evaluate ((-42)/(-847))/(9/(-297)*12). -3/22 Calculate (9/(-10))/((23598/304)/(-69)). 4/5 Evaluate (-416)/195*(-26)/(5408/273). 14/5 (91/(455/(-2)))/(4/(-5))*(-16)/58 -4/29 (-153)/(-15)*(-180)/(-2484)*46 34 Evaluate 42/336*(-19)/((-190)/7120). 89 (-16)/((-8)/(-12)*4731/83) -8/19 What is (132/(-1161963)*97)/(16/(-22))? 1/66 Calculate ((-43980)/(-15393))/(25/(-7)). -4/5 What is the value of ((76/95)/2)/(6028/(-220))? -2/137 (-32)/(10368/189)*10/385 -1/66 Calculate (-28)/42*(4/(-32))/(50/(-11400)). -19 Evaluate (70/35)/(99/(-2574)). -52 Calculate ((-60)/(-60))/((-120)/540)*100/(-9). 50 What is (952/(-216))/((-10843)/(-9294))? -34/9 Evaluate 1*-3*(12*5/(-14))/((-2346)/(-8211)). 45 Evaluate ((188000/(-120))/(-94))/(-10). -5/3 What is the value of (140*(-24)/(-46368))/(5/2)? 2/69 What is the value of ((-43)/(-2))/(13551/(-27102))? -43 What is 102/((-29886)/1465)*((-12)/(-10))/3? -2 (-42)/12*(-11)/(-385)*-5*(-2772)/(-22) 63 What is 24/32*1*77*(-4)/(-189)? 11/9 Evaluate 0/(9*34*120/1836). 0 Calculate ((-72)/(-16))/((-72)/48)*(-10)/(-18). -5/3 What is (((12/1)/3)/2)/(((-72)/666)/(-2))? 37 What is 241192/(-2920)*(-15)/(-21)? -59 Calculate (5/1)/(((-483)/(-42))/23). 10 Evaluate 139/(27800/(-120))*-75. 45 Calculate ((-152)/(-51528)*-113)/(((-5)/12)/(-5)). -4 ((-20)/(-26))/((-46790)/(-3284658)) 54 Evaluate ((-263)/(-5523))/((-51)/31059). -29 What is (18468/80028)/((-6)/(-598))? 23 (((-147)/7)/42)/((-1)/4*4) 1/2 What is ((-2)/16*6)/((-12698)/(-29024))? -12/7 Calculate (((-36)/(-10))/2)/((-6570)/(-54750)). 15 What is 55/50050*-65*(-36)/21? 6/49 What is the value of (-62)/62*80/(-32)*1/(20/(-392))? -49 (-1326)/68*496/186 -52 Evaluate (3/18*(-68210)/(-359))/(-5). -19/3 What is the value of (-22)/4*(-30)/132? 5/4 ((14/14)/((-368)/8))/(((-49)/(-21))/(-7)) 3/46 What is 4*2/(-10)*(-149)/(193998/35)? 2/93 Evaluate (441/(-17493))/((-12)/84). 3/17 Evaluate (1*2/(-14))/(216/(-675)*80/(-128)). -5/7 Evaluate (2/7*(-5824)/(-96))/(70/(-30)). -52/7 What is 26/(-2808)*54*0/(-2)*1? 0 Calculate (-21*(-14)/98)/((-142)/34*51/(-3)). 3/71 Evaluate (1848/(-8778))/(412/38). -2/103 What is the value of ((-50)/175)/(18/36*(-3)/462*2)? 44 Evaluate (-38884)/9721*10/4. -10 Calculate 112/48*144/84. 4 What is 15/(((-665)/11970)/((-26)/108))? 65 Calculate (12/(120/(-10)))/((-69)/(-1656)). -24 What is the value of ((-448)/(-560))/((-49)/5)? -4/49 What is the value of 1/(-5)*(3/(-12))/((-164)/(-410))? 1/8 Evaluate -10*(-4)/6*96/40*(-63)/252. -4 What is the value of ((-6)/30*5/(-4))/((-10965)/(-1462))? 1/30 Evaluate ((-11)/((-1914)/29))/(23/5382). 39 Calculate ((-12)/(-48))/(1/1)*2*118/(-354). -1/6 Evaluate ((-3390)/452*(-1)/15)/(1/116). 58 (356928/(-640))/(-429)*(-12)/143 -6/55 300/(-31500)*(-5)/3 1/63 Calculate (1079485/(-34089))/((-1)/3). 95 What is the value of (1008/14112)/(2*(-85)/(-14))? 1/170 What is 2/(-272)*4/13*(-3770)/145*8? 8/17 What is the value of (144/(-7560))/(108/(-126))? 1/45 Evaluate (5/3*11)/(448/(-1344)). -55 Evaluate 11*4*196/(-3920)*60. -132 Evaluate (-4)/((-16)/78)*275/(843975/(-372)). -26/11 ((40/91)/(-8))/((-201)/(-2814)) -10/13 What is ((-71)/(36423/18))/((8/45)/((-90)/225))? 3/38 What is (-24)/(-14)*36512/625920? 1/10 Calculate 3/(-62)*(-2925)/(-1755)*(-8)/(-10). -2/31 ((-3)/((-234)/(-4)))/(6/432*48) -1/13 What is the value of (-168)/4200*360/8? -9/5 What is 20/14*((-153454)/(-2425))/226? 2/5 (-7)/15*((-560)/(-140)*(-1)/(-10))/7 -2/75 Evaluate (-3*(-6)/27)/(29400/1050). 1/42 What is (7/(21/(-30))*216/1296)/(5/(-336))? 112 Evaluate (949/((-4189835)/(-21192)))/((44/(-30))/(4/6)). -24/11 Calculate ((-7470)/249)/((-12)/(-4)*-1). 10 What is (-68*459/(-20808))/(6/(-512))? -128 (-4*1/210)/((-131)/262*(-4)/(-14)) 2/15 (-20)/(-570)*(-120)/((-200)/(-10)) -4/19 What is ((-132)/(-55))/(6/20)*8/2? 32 What is the value of ((-4)/14)/(((-2)/(-28))/((-7805)/(-446)))? -70 Calculate ((-11)/(275/(-120)))/(315/210). 16/5 Calculate (4053/772)/((-3)/2)*12/21. -2 ((-7696)/(-9620))/((56/(-80))/((-1)/36)) 2/63 Calculate (-8)/(-42)*(105/(-126))/(110/594). -6/7 ((-84)/(-8))/((-198)/(-4224)*-4) -56 Evaluate ((-153)/(-969)*1/(-15))/(188/(-1410)). 3/38 Evaluate (-5)/(-140)*(-37)/(925/120)*-5. 6/7 What is the value of ((-11725)/(-804)*(-4)/14)/(-5)? 5/6 What is the value of ((-9716)/(-26719))/((-2)/22*18)? -2/9 Calculate ((-5)/24*(-2664)/5920)/(12/(-40)). -5/16 1704/(-42245)*-35*34 48 What is (29925/(-24206))/(-225)*-7? -1/26 Evaluate ((949/65)/((-4)/5))/(918/3672). -73 (1/1)/((2/192)/((-318)/(-9540))) 16/5 What is 153*(-16)/(-24)*10*(-8)/160? -51 Calculate -418*51/12342*22. -38 What is the value of (1*6/4*183/(-1586))/(498/332)? -3/26 Calculate ((-47)/((-8930)/82745))/(91/14). 67 What is 1136/284*1/4812*2*(-273)/91? -2/401 Calculate (2688/(-4480)*(-4)/(-6))/((-3)/(-1035)). -138 What is (8228/7480)/(2/(-20))? -11 Evaluate 11*14/385*(-9)/(24/(-24)). 18/5 What is (-6)/4*(2760/42021)/10? -2/203 What is the value of (84*27/3780)/((-87)/30)? -6/29 (-20)/(((-17)/85)/((-3)/(-6))) 50 Evaluate ((-30)/(-5940)*-30)/(2/(144/(-20))). 6/11 (348054/(-149166))/(((-14)/12)/(-1)) -2 What is (103659/317)/(11/(121/33))? 109 What is 25/175*-3*(-560)/17400? 2/145 Calculate ((-108)/(-15))/(64/(-24)*(-15)/50). 9 What is ((-16)/(-88))/(114/(-330)*25)? -2/95 ((-8)/(-30))/((-228)/1425)*(-2)/(10/3) 1 What is (13/(-8)*-2)/(75/((-30600)/102))? -13 What is (11/(32142/120))/(6150/615)? 2/487 ((-336)/40)/(-7)*(-5)/(-12)*309/1339 3/26 Calculate 33*5*(12/540)/(73/(-1095)). -55 Evaluate ((-3)/(-30)*-6)/((-3944)/(-290))*-4. 3/17 What is the value of -21*(-32)/(-2240)*1960/(-12)? 49 What is ((-82)/(-123))/(95/855)? 6 Evaluate 402/(-155038)*-89*(-1)/(-3). 1/13 Evaluate ((-1)/(-15))/((-85)/(-9210600)*168). 43 What is the value of -2*(-1*2/((-28)/6))/((-81)/(-819))? -26/3 What is (58/(2436/7))/((-8)/(-26)*(-10)/(-480))? 26 What is the value of (
{ "pile_set_name": "DM Mathematics" }
- 2 wrt g. -17995338*g + 2*s**3 Differentiate 10*o*w**2 - 20*o*w + 51*o + 23*w**2 - 11*w + 14 with respect to o. 10*w**2 - 20*w + 51 What is the first derivative of 368257*i*q**3 - 233989*q**3 wrt i? 368257*q**3 What is the second derivative of 366567*k**4 - 40*k + 3324 wrt k? 4398804*k**2 What is the second derivative of -10906*n*z**2 + 2*n*z + 248*n - z**2 + 2*z - 2 wrt z? -21812*n - 2 What is the second derivative of 3*a**3*c**2 + a**3 + 2408*a**2*c**2 - 10*a*c**2 - 74*a - 4 wrt a? 18*a*c**2 + 6*a + 4816*c**2 Differentiate i*k**3 - i*k**2 - 32945*i + 2*k**3 + 143743*k**2 + 5*k with respect to i. k**3 - k**2 - 32945 Find the third derivative of -201082*w**3 - 222*w**2 + 1198*w. -1206492 Find the second derivative of 10*b**5 + b**4 + 2906*b**2 + 2562172*b wrt b. 200*b**3 + 12*b**2 + 5812 Find the third derivative of -30661*o**5 + 112*o**2 + 2*o + 23. -1839660*o**2 Find the third derivative of -1057*g**5 - 10*g**4 + 599*g**2 - 6*g + 1. -63420*g**2 - 240*g What is the derivative of -3412*h*m*s**3*u + 7*h*m + 8*m*s**2*u + 2*m*s**2 - 5*m*u + 28*s**3 wrt h? -3412*m*s**3*u + 7*m What is the second derivative of 251811*i**2 + 23391*i - 14 wrt i? 503622 Find the second derivative of 3*l*n*y**3 - 27*l*n*y + l*y**3 - 5*l*y + 2*l + 633*n*y**2 - n*y - 4*y**2 + 8*y wrt y. 18*l*n*y + 6*l*y + 1266*n - 8 What is the second derivative of -3218*i*m*r**2 - 2*i*m*r - i*m - 24*i*r**2 + 2*i*r - 2594*i - 5*m*r + 2*r**2 wrt r? -6436*i*m - 48*i + 4 What is the second derivative of 227*w**2*z**2 + w**2*z - 14*w**2 - w*z + 8792*w - 2170*z**4 + 2 wrt z? 454*w**2 - 26040*z**2 Find the second derivative of k**2*o**3 - 10574*k**2*o**2 + 2*k**2*o + 296*k*o**3 + 133*o**2 wrt k. 2*o**3 - 21148*o**2 + 4*o Find the third derivative of -d**4*m + 83*d**4 + 5*d**2 - 12469*m wrt d. -24*d*m + 1992*d What is the third derivative of -1052660*z**3 + 1381*z**2 + 107*z? -6315960 What is the derivative of 36517*k**4 - 61581? 146068*k**3 What is the third derivative of -41*d**3*p**2 - 4*d**3*p - 66*d**3 - 10*d**2*p**2 + 2*d*p**2 + 141*d*p wrt d? -246*p**2 - 24*p - 396 What is the second derivative of -792*l**4 + 2*l**2 + 2*l - 15231? -9504*l**2 + 4 What is the derivative of -436570*l**4 + 97560? -1746280*l**3 What is the third derivative of -3*a**4*q + 20*a**4 - 124*a**3*q - a**3 + 163*a**2*q + 4*a**2 - 20*a*q + 2*a wrt a? -72*a*q + 480*a - 744*q - 6 What is the third derivative of 18*m**3*v*w**3 - 156*m**3*w**3 + 182*m**2*v*w**3 + 4*m**2*w**2 + m*v*w - v wrt m? 108*v*w**3 - 936*w**3 What is the second derivative of -3081136*v**4 + 2024290*v? -36973632*v**2 Find the third derivative of -19*b**3*z**3 - 1060*b**3*z**2 - 6*b*z**3 + 17*b*z**2 wrt z. -114*b**3 - 36*b What is the second derivative of 690526*j**2*p*x**3 + 54*j**2*p*x - j*p*x**3 - 8*j*p*x + 396*p wrt x? 4143156*j**2*p*x - 6*j*p*x Find the second derivative of -b**2*c**3*z**2 + 25*b**2*c**3*z + 7*b**2*c**3 - 2*b**2*c**2*z - 44*b**2*c*z + 2*b**2*z + 3093381*c**3*z**2 + 2*c wrt z. -2*b**2*c**3 + 6186762*c**3 What is the second derivative of -12*i*r*v**2 - 4*i*r*v + 9*i*r + 27*i*v**2 + 2*i*v - 1521*i + r*v**2 + 2*r + 55*v**2 wrt v? -24*i*r + 54*i + 2*r + 110 What is the derivative of -4*o**3 - 8180*o**2*u**2 + 48184*u**2 wrt o? -12*o**2 - 16360*o*u**2 What is the derivative of -9832*m**2 - 7*m - 178415 wrt m? -19664*m - 7 Find the third derivative of 1973365*f**4 - 260123*f**2 + f - 1. 47360760*f What is the derivative of -6*b**4*x - 2834*b**3*x + 987*x + 14 wrt b? -24*b**3*x - 8502*b**2*x What is the derivative of 6*h**2*q + 12*h**2 + h*q - 64*h + 1881*q - 102 wrt h? 12*h*q + 24*h + q - 64 Find the third derivative of -75870*t**3 + 17095*t**2. -455220 What is the second derivative of -s**2*t*w**2 - 72*s**2 - 2*s*t*w**3 - 57*s*t*w - s*t + 45229*s*w**2 - s*w + s - 2*t*w wrt w? -2*s**2*t - 12*s*t*w + 90458*s Find the third derivative of -6*k**3*m*v + 3*k**3*v - 6619*k**3 + k**2*m*v - 117*k**2 + 5*k*m*v - 3*k*m + 8*k + m wrt k. -36*m*v + 18*v - 39714 What is the second derivative of -33*t**2*x**2 - t**2 - 3053*t*x**2 - 3*t*x - 4*x**2 - 1119*x - 1 wrt x? -66*t**2 - 6106*t - 8 Differentiate -2*g**3*q*v - 600*g**3*q - 2*g**3 + 260742*q*v - 426*q with respect to v. -2*g**3*q + 260742*q What is the second derivative of 51615*p**3 + 6*p**2 + 22968*p - 3 wrt p? 309690*p + 12 What is the third derivative of 611*k**4 - 2*k**3 - 4*k**2 - 3106 wrt k? 14664*k - 12 Find the third derivative of -87*b**3*m**3 + b**3*m**2 - 181*b*m**4 + 114*b + 69 wrt m. -522*b**3 - 4344*b*m Find the third derivative of 63326*b**2*k**3 + 2*b**2*k**2 + 3*b**2*k + 1206*b*k**2 wrt k. 379956*b**2 Find the second derivative of -286632*i**3 - 153765*i wrt i. -1719792*i Differentiate 472961*w**4 - 249207 with respect to w. 1891844*w**3 Find the third derivative of -m**3*t + 4386*m**3 - m**2*t + 143*m**2 - 13*m*t + 10 wrt m. -6*t + 26316 What is the second derivative of 58*l**3*m**3 + 18541*l**3*m + 5*l**2*m**3 wrt m? 348*l**3*m + 30*l**2*m What is the first derivative of 961942*h**2 + 152362 wrt h? 1923884*h What is the third derivative of 100*y**5 + 310*y**4 + 2*y**2 - 38182*y wrt y? 6000*y**2 + 7440*y Find the third derivative of -69377*g**4 - g**2 - 2*g - 16844 wrt g. -1665048*g Differentiate 20998*k*l**2*t + 2*k*t - 19*l**2*t + 8*l**2 + 3*l*t + 3*t wrt k. 20998*l**2*t + 2*t What is the third derivative of 1328069*l**4 - 33*l**2 - 7195*l? 31873656*l What is the first derivative of -u**4 - 3*u**3 + 5653*u + 63578? -4*u**3 - 9*u**2 + 5653 Differentiate 1100*r**2 + 75586. 2200*r What is the third derivative of 302*o**3*r**2*s**2 - 1310*o**3*s + o**2*r**2*s**2 + o**2*r*s**2 - o**2*r*s + 4*o*r**2*s**2 - 9528*o*r**2 - o wrt o? 1812*r**2*s**2 - 7860*s Differentiate -110*f**3 + 8*f**2 + 772*f - 4559148 with respect to f. -330*f**2 + 16*f + 772 Find the third derivative of -8*p**3*s**3 - 48*p**3*s**2 - p**3 + 23683*p**2*s**3 + p*s**2 + 40*s**2 + 4*s wrt s. -48*p**3 + 142098*p**2 What is the second derivative of 226*b**3 + 114*b**2 - 119884*b? 1356*b + 228 Find the third derivative of -85*t**5 + 2446*t**4 + 628446*t**2. -5100*t**2 + 58704*t What is the derivative of d**2*n**2 - 2*d**2*n + 15*d**2 - 8*d + 913910*n**2 + 5665 wrt n? 2*d**2*n - 2*d**2 + 1827820*n Find the first derivative of 124146*b**2 - 141783 wrt b. 248292*b What is the first derivative of 29*t**3 - 9949*t + 720113? 87*t**2 - 9949 What is the second derivative of -167326*n**4 + n**2 - 1149940*n wrt n? -2007912*n**2 + 2 Find the second derivative of 63425*g**3 + 5*g + 13238. 380550*g What is the first derivative of 24108*u**3 + 39824 wrt u? 72324*u**2 What is the second derivative of 12103*c**2*x - c*x + 6*c + 13*x - 5 wrt c? 24206*x What is the second derivative of -25*d**2*l**3 - 3951*d**2*l**2 - 111*d**2*l + 142*d*l + 4*d wrt l? -150*d**2*l - 7902*d**2 What is the third derivative of -470*c**6 - 7*c**3*m**2 - 1187*c**2 + 21*m**2 wrt c? -56400*c**3 - 42*m**2 What is the third derivative of -43084*i**2*t**3 + 203*i**2 - 8*i*t**2 wrt t? -258504*i**2 Find the third derivative of c**6 - 25*c**4 + 368*c**3 + 36454*c**2 wrt c. 120*c**3 - 600*c + 2208 Find the third derivative of -110217*l**3 + 3*l**2 - 54*l - 285 wrt l. -661302 What is the first derivative of -298*r**3*w*z - 2*r**3 + r**2*z - 805*r**2 + 31*r*w*z - 20*r*z wrt w? -298*r**3*z + 31*r*z What is the derivative of 5*f**4*h**3 - 6387*f**4*h**2 - 3849*h**3 - h**2 + 1 wrt f? 20*f**3*h**3 - 25548*f**3*h**2 What is the first derivative of 15167*z**3 - 35309? 45501*z**2 What is the second derivative of 514184*h**3*y**3 - 89*h*y + 2*h - y**3 + 2*y**2 - 52*y wrt h? 3085104*h*y**3 Find the first derivative of 4*a**3*w - a**3 - 3075*a*w**2 + 460*w**2 + 48*w wrt a. 12*a**2*w - 3*a**2 - 3075*w**2 What is the third derivative of -4*b**5 + 13343*b**3 - 100388*b**2? -240*b**2 + 80058 What is the second derivative of -1317021*d**4 - d**2 - 2220337*d wrt d? -15804252*d**2 - 2 Find the second derivative of c**2*w**2*x**2 + 19871*c**2*w*x**3 + 13*c*w**2*x**3 + 6*c*w**2*x - 42*c*w**2 + 2*x**2 wrt c. 2*w**2*x**2 + 39742*w*x**3 Find the second derivative of -65917*o**2 - 5*o - 3750 wrt o. -131834 What is the second derivative of -5483*a**2*f**2 - 4669*a**2 + 3*a*f - 4*f**2 + 3*f wrt f? -10966*a**2 - 8 Find the third derivative of -48418*r**4 + 37392*r**2. -1162032*r Find the seco
{ "pile_set_name": "DM Mathematics" }
27212*c = 27207*c + 150 for f. 2 Solve 3*v = 5*w - 6 + 41, 0 = -5*v - 66088*w + 66086*w + 110 for v. 20 Solve -10*x + 4*x + 192 = -3*s, x = -8167*s + 8163*s + 32 for s. 0 Solve 5*x + 4*s = 18*s + 430, -2*x - x + 36 = 5*s - 6*s for x. 2 Solve 3*l + 2*d = -86, 0 = l - 11*d - 31226 + 30823 for l. -4 Solve 10 = -r - 27*n - 16, -r + 149 = 4*n + 73 + 79 for r. 1 Solve 10*s + 7*s + 6*c + 606 = -10*s, 5*s + 2*c = 4*s - 26 for s. -22 Solve 2*g - 537892 + 537896 = 2*i, 6*g + 16 = 2*g - 4*i for g. -3 Solve k + 81 = -3*u, 2*u = 2*k - 1549 + 1503 for u. -26 Solve 56*w + 100 = 2*m, 2*w + 156*m = 158*m - 59 - 95 for w. 1 Solve -5*h + 2*h = -3*m + 2130 - 2115, -60*h + 99 = -3*m for m. 7 Solve 3*r - 10*v = 3*v + 14, 6*v - 26 - 7 = -3*r - 0*v for r. 9 Solve 3129*y + 485 = -3*b + 3134*y, b - 12*y = -17*y + 485 for b. 0 Solve -s = -13*x - 7, -5*s + 15*s - 9*s = 2*x - 4 for s. -6 Solve -2*s - 3*m + 4 - 17 = 5*s, -11*m - 27 = 41*s - 36*s for s. -1 Solve -5*q = l - 13, -5*q + 744 = -36*l + 842 for q. 2 Solve t + 11168 - 4233 = 289*g, 3*t + 4*g = 99 for t. 1 Solve 3*b - 74 = -k, 607*k = 610*k - 4*b + 116 for k. -4 Solve 28*k - 10 = 24*k - j, -29*k - 5*j + 13 = -12*k - 31 for k. 2 Solve 8120*r + n = 8118*r + 20, 0 = -5*r + 6*n + 16 for r. 8 Solve 34*b = -2*n - 270, 5*b - 7*n + 39 = 6*n - 2*n - 12*n for b. -8 Solve 5*x - 106*f = 25, -f - 15 = -3*x + 4*f - 4*f for x. 5 Solve -20 = 4*n + 5*k, 21094*n - 6 = 21096*n + 2*k for n. 5 Solve -50*z = -5*j - 134 + 9, 3*z - 3*j = 2*z - z + 47 for z. 1 Solve -4*o - 33288 = 9*q - 33449, 0 = -3*o - 2*q + 97 for o. 29 Solve -6*i - 76 = 12*i - 10*i + d, 4*i + 4*d - 56 = 4*i + 4*i for i. -10 Solve -4*r = 2*j + 22, -3*j - j - 1512 = -1492 for r. -3 Solve 5*v + 87 = -4*w, -256*w = -254*w + 6 for v. -15 Solve -4*r + 12 = -4*n, -14*n + 9*n + 23 = -10*n + 3*r for n. -7 Solve -p - 375 = 7*a, -p - 333 = -4*p - 5*a + 10*a + a for p. 3 Solve -3*p - u = -2*u + 1, -3*u = -3*p - 1309 + 1276 for p. 5 Solve -16*t + 30*t - 2*w = 10*t - 8, 4*t - 3*w + 4 = 0 for t. -4 Solve -f + 24 = o, 191398 = -o + 3*f + 191406 for o. 20 Solve -213*h + 209*h + 13*y + 158*y = 1364, -3*y = -24 for h. 1 Solve -35*t + 758 = -38*t + s + 705, 0 = 5*t - 3*s + 83 for t. -19 Solve 3*z - j - 4624 = -4655, -106 = -6*z - 4*j for z. -1 Solve -a - 73 = 25*g + 21, 4*a + a + 3*g - 13 = 5 for a. 6 Solve -8*y - c + 15 = 0, -21384*y - 4*c = -21389*y + 14 for y. 2 Solve 3*k = -6*v + 3*v + 90, 2*v = -3*k + 508 - 419 for k. 29 Solve 106*v - 105*v + 9 + 7 = -7*m, -3*v + 15 = 0 for m. -3 Solve 468 = 4*c + 3*b + 457, -3*c + 17 = 4*b for c. -1 Solve 0 = -12*x + 34*x - 3*m - 29, 0 = -4*x - 10*m + 12*m - 2 for x. 2 Solve 4*d = 2*d + 8*d + 2*d - 28 + 92, 11 = -3*j - d for j. -1 Solve a - 1297*p + 225 = -1277*p, 0*a + 8 = 5*a + 3*p for a. -5 Solve 0*r + 5*r + 4*a - 120 = 0, -11*a = 16*a for r. 24 Solve -28210140*b + 28210132*b = 24, -4*q + 11 = -5*b for q. -1 Solve -3*h - 4*h + 2*h = -2*h, -384*s + 5*h - 6 = -385*s for s. 6 Solve 2*m = -35*l + 710, 9583 - 9613 = -2*l + 2*m for l. 20 Solve 0 = 5*q + 3*s + 71, -4*q + 873238*s - 873233*s - 42 = 0 for q. -13 Solve 2*q = -78*u + 1 - 104 - 85, -10 = 5*u - 5 for q. -55 Solve 6*t = t + 9*v - 5*v + 201 - 29, -314 = -9*t + 5*v for t. 36 Solve s - 9*b - 5 = 0, -3*s + 15 = 7382*b - 7377*b for s. 5 Solve 5*d + 113*z - 2 = -180, -4*d + 7*d + 5*z = -31 - 13 for d. -13 Solve -18*s + 81 + 1 = -4*w + 12*s, -5*s = -3*w - 3*s for w. 2 Solve -1172*t + 5*u - 60 = -2328*t + 1164*t, 3*t + 19 = u for t. -5 Solve 186*h - 188*h = 2*q + 18, -2*h + q + 15 = 0 for h. 2 Solve 3*s - 270 = 17*v, -3*v + 23 = 3*s + 5 + 48 for v. -15 Solve 4441*z - 4446*z - 40 = -13*f, z + 5 = 2*f for f. 5 Solve 0 = -5*a - 4*o + 43 + 145, -72*o = 10*a - 1435 - 1629 for a. 4 Solve 14*u = -4*p - 140, 50*u - 51*u - 26 = p - 11 for p. -7 Solve -145726*d + 145724*d = -11*u + 67, -5*d - 2*u + 39 = 0 for d. 5 Solve 3*r = 395*a - 394*a - 169, -5*a = -r - 47 for r. -57 Solve 9*m - 5*s + 67 = 0, -12 = -3766412*m + 3766408*m - 3*s for m. -3 Solve -2*g = -140*h - 1 - 661, -66*g + 62*g - 3*h = 91 for g. -19 Solve 384282*n = 384285*n - 4*p + 250, 17*n + 2*p + 1392 = 0 for n. -82 Solve -467*o + 66 = -462*o - 3*x, 0 = -4*o + 17*x + 401 - 27 for o. 0 Solve -30*f - 3*g + 160 = 1024, 135 = -5*f - 5*g for f. -29 Solve 191*l - 193*l = 2*a - 12, 251*a - 366 = -4*l + 76*a for l. 4 Solve -7 = 5*w - h, 98 = 26*w - 32070*h + 32069*h for w. 5 Solve -w + 39 = 8*t, 2*w - 18239 + 18276 = 7*t for t. 5 Solve -14*m = -2*c - 19*m + 2 + 14, -2*m + 16 = 4*c for c. 3 Solve -3*q + 7*q = -12, 9*q + 1610 = -4*s + 2*q + 1645 for s. 14 Solve -121*l = 8*y - 125*l - 52, 7*y = 6*y - 2*l - 6 for y. 4 Solve 30*n = 22*n + h - 141, n - 19*h = -24*h + 8 for n. -17 Solve -3*d - 5*w - 92 = 6*d - 102, 7*w = 3*d + 14 for d. 0 Solve 0 = -3*d - 120*g + 351, 242*d = 245*d - 5*g + 24 for d. -3 Solve -4*i - 2660444 = -2*n - 2660432, 6*i + 14*n = 152 for i. 2 Solve -118 = -0*o + 3*o + 2*t + 84, 188 = -3*o + 6*t - t for o. -66 Solve 0 = 3*u - 8*u - 18*o - 640, 3*o + 0*o = u - 119 + 16 for u. -2 Solve -137*s + 139*s + 0*i - 7 = -i - 21, -43*i - 152 = -4*s for s. -5 Solve b + 3 = 7*u + 2*b + 6, -589*b + 594*b = -36 - 35 - 49 for u. 3 Solve 142 = i - 30*n - 42*n, 2*i + 38*n = 33*n - 14 for i. -2 Solve 5*c + 36*u + 183 = 0, -2*c = 3*u + 11 + 23 + 5 for c. -15 Solve l + 15 - 38 = 31*c - 33*c, -4*c + 4*l - 20 = 0 for c. 6 Solve 0 = 5*w - 2*z + 27, -3*w + 560*z - 572*z = -145 + 16 for w. -1 Solve 113 = -18*u + 19*u - 21*a, 3*a - 15 + 38 = u for u. 8 Solve 2*c - 2 + 6 = 2, -14*m + 22 = -2*c - 22 for m. 3 Solve -j - 3*i + 23 = 0, -5*j + 17 = 2837*i - 2836*i for j. 2 Solve 6 = w - 5*a, 2*a = 2*w - 10783 + 10787 for w. -4 Solve 263 = 2*w + 70948*a - 70911*a, -3*w + 5*a - 29 = 0 for w. 2 Solve 7*l = 3*m + 2*l - 58 - 46, 4*m + 18000*l = 18031*l + 674 for m. -2 Solve -3647*a - 35 = -5*g - 3642*a, -2*g + 10*a + 6 = 0 for g. 8 Solve p - z = 50 - 45, 4*p + 2*z + 3*z = 47 for p. 8 Solve -79*j + 112*j - 34 = -5*s + 115, -5*j = -5*s + 35 for j. 3 Solve 6*h + 5*x + 25 = -114, 12*h + 75 = -3*x for h. 1 Solve -10*q + 17 = 2*m - 8*q + 41, 0 = -28*q + 30*q - 0 + 4 for m. -10 Solve 4*v = 20*v - g - 244, -8 = -33*g + 35*g for v. 15 Solve 6*i - 2*i = 7 + 13, 20*s - 1027*i + 5125 = 18*s for s. 5 Solve 0 = 3*d - 9*t + 4253 - 4265, t + 13 = -2*d for d. -5 Solve 92*l + 0*o - 176 = o, -4358*o = -4363*o + 24 + 16 for l. 2 Solve c - 32 = -3*d, -5*d - 1486*c - 43 = -1490*c for d. 5 Solve -2*l + 128 = -520*k + 1702 + 4152, -l + 5*k = 58 for l. -3 Solve -52*y + 67 = -46*y + 19, -1 + 18 = z + 2*y for z. 1 Solve -3*w - 27 = -2*o, -171814*w + 171813*w - 107 = -17*o for w. -5 Solve 14*g - 4*z - 4 = 0, 2 - 20 = 3*z - 36 for g. 2 Solve -3*u + 20 - 28 = -3*j + 34, -3*j = 13*u + 150 for j. 2 Solve 5*d + 265 = -12*j + 257, d + 2 = -2*j for d. -4 Solve -3*a + 8*a = 48*m - 17, -a - 14*m - 8*m + 29*m = 8*m + 14 for a. -13 Solve 152*a = 3*s + 68*a + 345, 3 = -4*s - 2*a - 1 for s. -3 Solve -2*o - 4*a = -48 - 8, 4*o - 9*a + 26*a = 229 for o. 2 Solve -224*b + 218*b + 0*q - 2*q = 48, 10*b + 4*q + 82 = 0 for b. -7 Solve -84 = -84*z, z + 20 = 5*b - 0*z - 78 - 21 for b. 24 Solve 3*c - 4*o - 74 = 0, 5*c + 94*o + 417185 = 415295 for c. -2 Solve -15*b + 17*b + 73*u - 76*u - 8 = 3*b, -5*b - 4*u = 84 for b. -20 Solve 5*c - 614177*o + 614185*o = 358, 3*o - 138 = 0 for c. -2 Solve -2025 = -5*x + 120*v, -295 = -4*x - 4*v - 375 for x. -3 Solve d + 26 = 6, -6*m + 5 = -5*m - 2*d - 34 for m. -1 Solve 0 = -5*f - 5*z + 35, 0 = 2*f + 13*z + 857 - 860 for f. 8 Solve -5*i - l - 25 = 0, 43*i = -56*i - 47*i + 141*i + 2*l - 10 for i. -4 Solve 0 = 4*s - 2*x - 64, -x + 1520 = 5*s + 1447 for s. 15 Solve -3*p = -2*v - 4 - 5 - 3, v + 10 - 48 = 13*v - p for v. -3 Solve -97*h - 5*i = 62, -h - i - 4*i = 280 - 314 for h. -1 Solve a - 36 + 30 = 657*n - 652*n, 6*a + 48 = 2*n for n. -3 Solve -161*h + 247 = 3*j - 243 - 5, -29 = -3*h - 5*j for h. 3 Solve 48*g + 35*g - 73*g = -3*d + 51, 3*g = 3*d - 12 for g. 3 Solve 2*g - 125 = -13*c - 65, 3*g + 3*c - 24 = 0 for g. 4 Solve -2*x = 71*o - 233 - 396, -2*o = 2*x - 8 for o. 9 Solve 3*r = -3*w + 132, 221*w - 108*w - 218 = 108*w - 3*r for w. 43 Solve 3*y - 6 = -3*m - 0, 3*m - 1396*y + 1401*y = 16 for m. -3 Solve 6*l - 82 = v - 266, 28*l + 856 = 4*v for l. -30 Solve 5*a - 5*w + 80 = 0, -3*a - 257*w - 2
{ "pile_set_name": "DM Mathematics" }
20*g**2 + 21*g**2 - 38*g**2. Let y(a) = -2*a. Determine y(l(t)). -6*t**2 Let q(t) = -1623*t. Let s(o) = -2*o. Determine s(q(z)). 3246*z Let g(c) = 3*c. Let t(s) = -25*s**2 + 7. What is t(g(r))? -225*r**2 + 7 Let z(v) be the third derivative of v**5/20 - 9*v**2. Let j(g) = 2*g. Calculate j(z(u)). 6*u**2 Let s(y) be the third derivative of 9*y**5/20 + 4*y**2. Let b(u) = u**2. Determine s(b(n)). 27*n**4 Let f(j) = -2*j. Let x(n) be the first derivative of 5*n**2/2 + 8. Calculate x(f(d)). -10*d Let i(z) = 6 - 1 - 2*z - 5. Let q(l) = 4*l. Determine q(i(r)). -8*r Let g(n) = 12094*n**2. Let x(v) = 3*v. What is g(x(k))? 108846*k**2 Let t = 26 - 23. Let q(v) = 4*v + 15*v - t*v + 0*v. Let m(z) = z**2. Determine q(m(p)). 16*p**2 Let j(h) = -6*h**2 + 19*h**2 - 15*h**2. Let y(a) = -13*a**2. Determine y(j(z)). -52*z**4 Let p(z) = -19*z. Let m(x) = 7*x**2. Give m(p(c)). 2527*c**2 Suppose -5*i = -13 + 3. Let y(l) = 2*l**i - 3*l + 0*l + 3*l. Let f(d) = 3*d**2. Determine y(f(n)). 18*n**4 Let w(a) = -a**2. Suppose 3*s + 12 = 6*s. Let y(g) = 5*g**2 - s*g**2 + 9*g**2 + g**2. Determine y(w(k)). 11*k**4 Let z = 60 - 56. Let h be (-3 + 0)*(-4)/3. Let b(j) = z - h + j. Let k(w) = -4*w. Give k(b(f)). -4*f Let m(x) = 5*x - 4*x + x. Let k be -2 + 1 + 1/1. Let g(w) = 0*w + k*w - w. What is g(m(h))? -2*h Let x(o) = -2*o**2. Let a(r) = -4*r**2 + 10*r. Calculate a(x(d)). -16*d**4 - 20*d**2 Let r(m) = -2*m**2 + 7*m - 7. Let o(p) = 2*p**2 - 6*p + 6. Let x(b) = -7*o(b) - 6*r(b). Let q(a) = -a**2. Determine q(x(d)). -4*d**4 Suppose -v - 2 = -7. Let z(y) = v*y - 5*y - 3*y**2. Let c(u) = 10*u - 11. Let a(b) = -b + 1. Let k(r) = -22*a(r) - 2*c(r). Give k(z(j)). -6*j**2 Let s(p) = 10483*p. Let j(r) = r. Give s(j(y)). 10483*y Let c(y) = 3*y**2. Let s(w) = 72*w + 6. Give s(c(k)). 216*k**2 + 6 Let j(t) = 2*t**2. Let u(p) = -2116*p**2. What is j(u(y))? 8954912*y**4 Let r(x) = -6 + 7 - x**2 - 1. Let i(o) = -4*o**2. Give r(i(v)). -16*v**4 Let v(q) = -8*q. Let t(j) = 90*j**2. Determine t(v(b)). 5760*b**2 Let f(i) = -2*i**2 + 70. Let w(o) = -33*o. What is f(w(s))? -2178*s**2 + 70 Let z(i) = -30*i. Let u(b) = -4*b + 1. Determine z(u(a)). 120*a - 30 Let m(p) = -15*p**2 - 4*p + 4. Let q(r) = -60*r**2 - 15*r + 15. Let t(z) = -15*m(z) + 4*q(z). Let i(a) = 2*a. Give t(i(w)). -60*w**2 Let d(l) = -2 + 2 - 7*l + 9*l. Let u(w) be the first derivative of w**4/8 + w**2 - 2. Let x(c) be the second derivative of u(c). Determine x(d(i)). 6*i Let n(p) = -p. Let r(d) = 7*d - 2. Let z(f) = -8*f + 2. Let y(a) = 7*r(a) + 6*z(a). Let g(s) = 2*s - 5 + 0*s + 2. Let v(w) = 2*g(w) - 3*y(w). Determine v(n(q)). -q Let t be (12 - -2)*2/4. Suppose -2*k - 3 + t = 0. Let y(j) = 2*j**2 - 2*j**k - j**2. Let a(z) = -2*z**2. Give a(y(b)). -2*b**4 Let m(w) = -w**3 - 5*w**2 - 3*w + 5. Let v be m(-4). Suppose 5*d + v = 11. Let b(k) = -3*k**d - 2*k**2 + 0*k**2. Let j(y) = -2*y**2. Determine b(j(h)). -20*h**4 Let r(m) = -734*m. Let b(j) = -j**2. Determine b(r(o)). -538756*o**2 Let v(s) = 2*s. Suppose 5*p = -4*q + 25, 2*p + 4*q - 10 = 2*q. Let y(n) = -2 + p*n + 3 - 1. Determine v(y(c)). 10*c Let g(x) = 2*x. Let m = 0 - -2. Let l = 4 - m. Let k(t) = -2*t**l + 0*t**2 + t**2. What is g(k(i))? -2*i**2 Let l(k) = 26*k**2 - 11*k**2 + 9*k**2. Let a(b) = b. Give l(a(w)). 24*w**2 Let p(v) be the first derivative of -v**4/4 + 2*v**3/3 - v**2/2 - 3. Let t be p(1). Let u(y) = t*y + 3*y - 2*y + y. Let l(g) = 2*g. What is u(l(m))? 4*m Let b(s) be the third derivative of s**5/30 + 26*s**2. Let m(a) = 29*a + 2. Give m(b(t)). 58*t**2 + 2 Let v(w) = -61*w - 1. Let t(x) = -x**2 + 7*x. Determine v(t(i)). 61*i**2 - 427*i - 1 Let m(j) = 1. Let l(u) = -2*u - 10. Let y(z) = l(z) + 10*m(z). Let r(q) = -4*q. Calculate y(r(x)). 8*x Let q(v) = -23*v. Let b(z) = 4*z**2. What is q(b(j))? -92*j**2 Let r(u) = 2*u. Let s(l) be the third derivative of -1/15*l**5 + 0 - 4*l**2 + 0*l**3 + 0*l**4 + 0*l. What is s(r(g))? -16*g**2 Let f(b) = -b**2 - 13*b - 19. Let x be f(-11). Let l(m) = 4*m + 3 - x - 5*m. Let c(w) be the third derivative of w**4/8 + w**2. What is l(c(t))? -3*t Let j(l) = l. Let q(g) = g**2 + 2065*g. Give j(q(y)). y**2 + 2065*y Let v(z) = -20*z**2 + 2. Let s(y) = -2*y**2. Calculate v(s(b)). -80*b**4 + 2 Let h(p) be the first derivative of -8 + 8 + 2*p**2 + 1 + 0*p**2. Let o(f) = 2*f**2. What is o(h(l))? 32*l**2 Let k(z) = 3*z. Let t(r) = 12*r - 3. Calculate k(t(u)). 36*u - 9 Let o(j) = -24*j**2. Let k(u) = -574 + 3*u + 574. Give k(o(m)). -72*m**2 Let s(i) = 2*i**2. Let d(u) = u**2 + 4*u - 8 + 7 - 3*u. Let j(y) = -6*y**2 - 8*y + 8. Let w(x) = 24*d(x) + 3*j(x). Determine w(s(v)). 24*v**4 Let h(n) = -n**2 - 2. Let q(v) = 3*v**2 + 5. Let l(f) = -8*f + 3. Let c be l(1). Let z(k) = c*h(k) - 2*q(k). Let s(o) = 0*o - 2*o + 4*o. Calculate z(s(g)). -4*g**2 Let m(s) = 154*s**2 - 63*s + 63. Let p(i) = -5*i**2 + 2*i - 2. Let y(h) = 2*m(h) + 63*p(h). Let n(g) = 5*g. Give n(y(z)). -35*z**2 Suppose 5*m - 3 = 2. Let b(y) = -4 - m - 2*y + 5. Let w(d) = d**2. What is b(w(n))? -2*n**2 Let v(o) = 3*o**2 + 302. Let n(c) = -2*c**2. Give n(v(u)). -18*u**4 - 3624*u**2 - 182408 Let j(u) = -u**2 - 3*u - 3. Let l(g) = g**2 + 2*g + 2. Let y(b) = 2*j(b) + 3*l(b). Let q(x) = -3*x. Give y(q(n)). 9*n**2 Let m(p) = 281*p**2. Let b(f) = 8*f. Give m(b(d)). 17984*d**2 Let l(o) = -2*o**2. Let w(t) = -1627*t**2. What is w(l(i))? -6508*i**4 Let r(w) = -11*w**2 - 3*w**2 + 15*w**2. Let s(n) = 4*n**2. Determine r(s(u)). 16*u**4 Let b(v) = 4*v**2. Let h(g) = -24*g**2 + 3*g. Determine h(b(s)). -384*s**4 + 12*s**2 Let f(o) = -444*o**2. Let a(s) = 4*s**2. Give f(a(u)). -7104*u**4 Let c(m) = -4*m**2. Let f(z) = -14*z**2 - 13*z + 26. Let i(k) = 7*k**2 + 6*k - 12. Let w(t) = 6*f(t) + 13*i(t). Give c(w(b)). -196*b**4 Let g(k) = -61*k**2 - 2. Let b(i) = -4*i**2. Calculate b(g(q)). -14884*q**4 - 976*q**2 - 16 Let h(f) = -f**2 - f - 1. Let x(m) = 13*m**2 - 4*m - 5. Let j(v) = 4*h(v) - x(v). Let z(a) = -a**2. What is z(j(o))? -289*o**4 + 34*o**2 - 1 Let v(t) be the third derivative of t**7/1008 - t**5/20 - 2*t**2. Let h(o) be the third derivative of v(o). Let x(p) = -2*p. What is h(x(l))? -10*l Suppose -4*t + t = -3*b + 15, 2*t = 3*b - 13. Let g(s) = -3 + s**2 + b. Let p(z) = 3*z. Give p(g(a)). 3*a**2 Let k(c) = -c**2. Let i(y) = 6*y**2 + 5*y + 2. Let o(h) = -7*h**2 - 6*h - 2. Let z(q) = 6*i(q) + 5*o(q). Let f(r) be the first derivative of z(r). Give k(f(a)). -4*a**2 Let k(s) = -s - 2 + 4 - 2. Let d(p) = 3*p - 3*p**2 + p**2 + 0*p + 5 + 2*p. Let i(u) = u**2 - 2*u - 2. Let f(y) = 2*d(y) + 5*i(y). Determine f(k(n)). n**2 Let w(q) = 52*q - 25. Let r(p) = p. Determine w(r(t)). 52*t - 25 Let k(g) = -17*g**2 - 76*g + 76*g. Let u(v) = 2*v. Calculate k(u(n)). -68*n**2 Let k(w) = 406*w**2. Let f(i) = -4*i**2. Calculate f(k(q)). -659344*q**4 Let m(p) be the second derivative of -p**5/30 + p**2 - 3*p. Let n(d) be the first derivative of m(d). Let s(u) = 9*u. What is s(n(y))? -18*y**2 Let o(q) = -q. Let d(y) = 3*y**2 + 7 - 3 - 4. What is o(d(s))? -3*s**2 Let q = 0 + 2. Suppose -4*f = -q*a - f - 1, 0 = -5*a + 3*f + 2. Let x(b) = -b. Let v(r) = 2*r. Let w(g) = a*v(g) + x(g). Let p(u) = -2*u**2. Determine p(w(h)). -2*h**2 Let h(q) = -q. Let n be 7/3 - 8/(-12). Let l(v) = 5*v - n*v + 12*v. Determine h(l(u)). -14*u Let o(j) be the second derivative of -j**4/12 - 28*j. Let b(a) = -5*a. Determine b(o(x)). 5*x**2 Let v(n) = -97*n**2. Let q(k) = k**2. Give q(v(w)). 9409*w**4 Let f(r) = 17*r - 2 - 14*r - 3*r - 123*r**2. Let j(b) = 2*b. Determine f(j(s)). -492*s**2 - 2 Let q(c) = 10*c. Let s(j) = -2*j**2 + 1. Let d(i) = -8*i**2 + 5. Let z(t) = d(t) - 5*s(t). Calculate q(z(y)). 20*y**2 Let b(i) = -165*i**2. Let d(f) = 3*f**2. Give d(b(y)). 81675*y**4 Let g(b) = 7*b + 2. Let o(f) = 20*f + 5. Let i(q) = -17*g(q) + 6*o(q). Let n(c) = c. Give n(i(a)). a - 4 Let z(n) = 5*n. Let b(q) = -q. Let x(v) = 2*v. Let k(l) = 4*b(l) + x(l). What is z(k(j))? -10*j Let x(o) = 2*o**2. Let h(d) = 48*d**2 + 33*d - 33. Let f(b) = -5 - 1 + b + 4 + 3*b**2 + b. Let n(w) = 33*f(w) - 2*h(w). What is n(x(k))? 12*k**4 Let i(y) = -76*y**2 + 16*y - 16. Let u(k) = 15*k**2 - 3*k + 3. Let t(o) = 3*i(o) + 16*u(o). Let v(h) = -h**2. What is v(t(s))? -144*s**4 Let u(c) = 7*c. Let k(i) = -12*i + 15. Let j(t) be the first derivative of t**2/2 - t + 3. Let b(m) = 15
{ "pile_set_name": "DM Mathematics" }
t is 96334056 divided by 42588? 2262 What is -72333072 divided by 1722216? -42 107364835 divided by -10 -21472967/2 Calculate 339 divided by 923. 339/923 -19291200 divided by -6 3215200 -2100840 divided by -3 700280 -464667612 divided by -10162 45726 Divide -41621559 by 816109. -51 What is -32 divided by 1178957? -32/1178957 24 divided by 61902 4/10317 Calculate 5459 divided by -850. -5459/850 What is 3268519 divided by 3? 3268519/3 Divide -6045829 by 24. -6045829/24 Divide 903 by -2231. -903/2231 What is 10358928 divided by -81? -127888 52656296 divided by 968 54397 What is 52 divided by 2348375? 52/2348375 Calculate -192358545 divided by -5. 38471709 What is 66199641 divided by -141? -469501 Divide 44918169 by 6. 14972723/2 Divide -114116 by -483. 114116/483 -19463731 divided by -4 19463731/4 8512146 divided by -2 -4256073 Divide 8355042 by 6. 1392507 801710 divided by -10 -80171 75 divided by -5695929 -25/1898643 What is 489027 divided by -3? -163009 What is -67774140 divided by -62580? 1083 Calculate 3055 divided by -14476. -65/308 36631 divided by -7 -5233 Calculate -147726464 divided by -318376. 464 -71313208 divided by -296 240923 Divide 13162760 by -2210. -5956 Divide 24262275 by 1617485. 15 Calculate -78467828 divided by -1. 78467828 Divide 8 by -456226. -4/228113 What is -9399 divided by -26571? 3133/8857 Divide 5592299 by 1. 5592299 Divide -1191637 by -694. 1191637/694 What is -4194069 divided by 3? -1398023 -3935925 divided by 37485 -105 -32400324 divided by -3 10800108 -20228152 divided by -28 722434 156735250 divided by -895630 -175 Divide 61047064 by -4. -15261766 What is 6675938 divided by 7? 6675938/7 Divide 490580 by -2327. -490580/2327 Divide -750067062 by 3. -250022354 What is -2 divided by -1185834? 1/592917 Divide -143949030 by -10. 14394903 What is -38000296 divided by -2263? 16792 Calculate -2 divided by -19808563. 2/19808563 What is 2371235 divided by 16? 2371235/16 -20581836 divided by -164 125499 Calculate -257846 divided by -80. 128923/40 Calculate 9887698 divided by -101. -97898 -113643290 divided by 5303 -21430 Divide -6 by -16469733. 2/5489911 Calculate -101514094 divided by 29. -3500486 1274159 divided by -280 -1274159/280 -5883189 divided by 452553 -13 0 divided by 2793510 0 What is 9008776 divided by -2252194? -4 Calculate -107430 divided by -1990. 10743/199 Divide -6942342 by -2. 3471171 Calculate 20883279 divided by -1. -20883279 What is 123738559 divided by -3? -123738559/3 Calculate 142412285 divided by -5. -28482457 Divide -785064392 by -164. 4786978 Calculate 5 divided by 4174499. 5/4174499 Calculate 13155878 divided by -5. -13155878/5 1554812 divided by -7 -222116 What is 3 divided by -28914376? -3/28914376 Divide 324244474 by 162122237. 2 What is 25519 divided by 13? 1963 Divide 94050564 by 2228. 42213 What is -51736 divided by 306? -25868/153 Divide -8118 by -1813. 8118/1813 Divide 16938422 by -2467. -6866 What is -2702306 divided by -10? 1351153/5 2808678 divided by 1404339 2 -36845580 divided by -6140930 6 -197885779 divided by 1487863 -133 What is 3243600 divided by 540600? 6 Calculate 26021971 divided by -1. -26021971 Calculate 26331588 divided by -2. -13165794 Calculate 679317696 divided by -77832. -8728 739350 divided by 129 246450/43 -408216 divided by 8 -51027 25371698 divided by 25371698 1 Divide -44655 by 585. -229/3 Calculate 73243500 divided by 579. 126500 Divide -16551000 by 613000. -27 What is 311 divided by 36114? 311/36114 Divide -54 by -1587704. 27/793852 8165916 divided by 10917 748 Calculate -25941 divided by 12. -8647/4 Calculate -4635 divided by -2985. 309/199 Calculate 2323055 divided by -10. -464611/2 Divide -858214116 by 139411. -6156 What is 10 divided by -171112? -5/85556 What is -9504489 divided by -3063? 3103 Calculate 96049397 divided by 6. 96049397/6 Calculate 1280014910 divided by 14827. 86330 What is -2121894 divided by -60? 353649/10 Calculate 46573344 divided by -323426. -144 Calculate -11 divided by 59703526. -11/59703526 Calculate -196395 divided by 1. -196395 -10817520 divided by 2163504 -5 Divide -80592792 by 4. -20148198 What is -84903403 divided by 2? -84903403/2 Calculate -330666665 divided by 26047. -12695 Calculate -59091119 divided by 10. -59091119/10 -36 divided by -834 6/139 Divide -6538095 by 345. -18951 Divide 2646225 by 1857. 1425 Calculate 327662580 divided by 635005. 516 Divide -212963525 by 25. -8518541 54 divided by 1424953 54/1424953 What is -107153670 divided by -5? 21430734 Divide 56744 by 13923. 56744/13923 Divide -7 by 19245966. -7/19245966 -1092 divided by 2539 -1092/2539 Divide -1229708105 by 5. -245941621 What is -7 divided by 20088223? -7/20088223 What is 19 divided by 1755255? 19/1755255 Calculate -590027 divided by 239. -590027/239 What is 73967996 divided by 18491999? 4 Divide 57356064 by 6. 9559344 Divide 16 by -760111. -16/760111 What is 71481626 divided by 92954? 769 5834950 divided by -110 -53045 Calculate 120294 divided by -456. -20049/76 Divide 4471460 by 894292. 5 What is 1010965 divided by -1010965? -1 Calculate -941133228 divided by 6716. -140133 -22 divided by -270367 22/270367 Calculate 17076478 divided by 5. 17076478/5 Divide 43 by -1081848. -43/1081848 339481364 divided by -269858 -1258 -423 divided by -256973 423/256973 Divide -189 by -83515. 189/83515 What is -442730376 divided by 8? -55341297 Divide -29789960 by 842. -35380 -639455196 divided by 6 -106575866 What is -3 divided by 8089052? -3/8089052 What is 203834353 divided by -3? -203834353/3 Calculate 153367 divided by 6. 153367/6 12311544 divided by -2166 -5684 Divide -121111512 by 30277878. -4 What is -43426647 divided by 209? -207783 Divide 0 by -356278. 0 What is 8 divided by 25489675? 8/25489675 6 divided by -709923 -2/236641 96006729 divided by 5 96006729/5 17243790 divided by -670 -25737 Divide 3 by 3487134. 1/1162378 What is -5646960 divided by 47058? -120 Calculate 1450592 divided by -329. -1450592/329 What is 751442 divided by 80? 375721/40 -12 divided by -263990 6/131995 What is 2589 divided by 4513? 2589/4513 Calculate 248742528 divided by -2414976. -103 Calculate -270499360 divided by 16. -16906210 Divide -80648 by -1385. 80648/1385 Divide 202 by -117274. -101/58637 Divide 5 by -15397887. -5/15397887 1 divided by 12292872 1/12292872 Divide -162454138 by 81227069. -2 -4 divided by -67452293 4/67452293 What is 94 divided by 199535? 94/199535 Divide 0 by -3711710. 0 What is -59 divided by 989514? -59/989514 Calculate 172252192 divided by 21531524. 8 4329 divided by 11559 1443/3853 Divide 75806238 by -2. -37903119 21001716 divided by 43 488412 What is 700936224 divided by -92? -7618872 What is -9 divided by -43641702? 1/4849078 Divide -26118255 by 274929. -95 What is 359377 divided by -18? -359377/18 Calculate -16025900 divided by 17. -942700 Calculate 7952238 divided by -8. -3976119/4 Calculate 840 divided by 14359. 840/14359 Calculate 3 divided by 174228. 1/58076 Calculate 66402892 divided by -935252. -71 What is 19465040 divided by 1216565? 16 What is 334 divided by -423322? -167/211661 401706 divided by -1161 -346 Calculate -1 divided by -31582227. 1/31582227 Calculate 306230922 divided by 156081. 1962 -7317 divided by 20111 -7317/20111 What is 56 divided by -203462? -4/14533 Calculate 419954445 divided by 3021255. 139 Calculate 48669954 divided by 1. 48669954 Divide -1 by 54718170. -1/54718170 6706 divided by -2284 -3353/1142 -13538988 divided by -83574 162 61599078 divided by 33 20533026/11 Calculate 19850070 divided by 1985007. 10 Calculate -31081795 divided by -515. 60353 Divide -124560990 by -461337. 270 -92168975 divided by -1165 79115 -310534812 divided by -159004 1953 Calculate 3 divided by 547372. 3/547372 25380847 divided by 6 25380847/6 Calculate -9616 divided by -17878. 4808/8939 Divide -5752843 by 16. -5752843/16 What is 67418120 divided by 236? 285670 Divide 424012525 by -5. -84802505 What is -11743 divided by 11? -11743/11 What is 175679 divided by -4? -175679/4 Divide 3979589 by -44. -3979589/44 3135789 divided by -3135789 -1 -134365140 divided by -1183 113580 Divide -111579120 by -1620. 68876 Divide -3493688 by 814. -4292 Divide 81810504 by -115064. -711 What is 643178961 divided by -509247? -1263 3 divided by 296316419 3/296316419 Wh
{ "pile_set_name": "DM Mathematics" }
number? True Suppose 13 = i - 5*r - 0*r, -4*i - 44 = 4*r. Let n(v) = 0*v - 3*v**2 + 6*v**2 + 2 - v**2 + 7*v. Is n(i) prime? False Let a = 1868 + 1559. Is a a prime number? False Suppose 13*r - 15*r = -19930. Is r/6 + (-2)/(-12) prime? False Let g be ((3 - -1) + -297)*-1. Suppose 2*x + g = 3*n + 39, -230 = -3*n - 4*x. Is n composite? True Let g = 3647 - 2484. Is g prime? True Suppose -2*a - j = -1177, -a - 4*a - 3*j + 2944 = 0. Is a a prime number? True Is (-1 + 420/(-63))/(1/(-141)) prime? False Let y be (9/3)/(-3) - 2. Let g be y/(-1)*8/6. Suppose 138 + 170 = g*u. Is u prime? False Suppose -37 = 5*r + 3. Let w = r + 13. Suppose -4*x + 1554 = w*g - x, 3*x + 609 = 2*g. Is g a composite number? True Suppose 2244 + 2394 = 2*q. Is q a prime number? False Let b(o) = -1723*o + 156. Is b(-2) a composite number? True Let s = 147 + -22. Suppose -1107 - s = -4*r. Suppose -c - r = -5*c. Is c composite? True Suppose -119621 = -9*f + 141721. Is f a composite number? True Let q = 1971 + -1070. Is q a prime number? False Let v(t) be the first derivative of -4 + 4*t + 4*t**2 + 1/4*t**4 - 3*t**3. Is v(8) prime? False Let k(x) = 8*x + 0 + 0 + 6*x + 2 + 2*x**2. Is k(6) a composite number? True Suppose -4*x = -u + 1, 10*u - x = 5*u + 24. Suppose -k - 3*d + 217 = 0, 0 = -4*k + u*d + 905 - 37. Is k prime? False Let a = -2882 + 5380. Is a a composite number? True Let p be ((-24)/10)/(5/(-600)*1). Suppose d = p + 971. Is d a prime number? True Suppose 3183 = n - 11288. Is n a composite number? True Suppose -2*f - f + 4*r + 11426 = 0, 4*f + 4*r = 15272. Is f prime? False Suppose 3*t = -3, -2*u - u = -t - 13. Suppose -3*o + q + 1003 = 6*q, -2*q = -u. Is o a prime number? True Let z(m) = -388*m + 115. Is z(-16) a prime number? True Is 6/14 + (-3520920)/(-546) a prime number? True Let b = 10 + 8. Let a = b - 8. Suppose a = x - 15. Is x a composite number? True Let v = 0 - 7. Let b(c) = 2*c + 17. Let z be b(v). Suppose -3*m + 499 = -5*y, -3 = z*y + 12. Is m composite? True Let v = 612 + 515. Suppose -15*u - v = -43817. Is u a composite number? True Suppose -4*w + 0*w + 85 = -3*d, -5*w = -4*d - 105. Suppose w + 64 = z. Is z prime? True Let u = 94 + -107. Let b(i) = -3*i**3 - 10*i**2 + 13*i - 29. Is b(u) prime? True Suppose c = -u, 9 = -2*c + 2*u + 25. Suppose 2*o = c*o - 844. Is o a composite number? True Suppose -3707 - 5416 = -3*z. Is z composite? False Let y(b) = 138*b + 70. Is y(8) prime? False Let f(d) = -112*d**3 - 4*d**2 + 2*d + 27. Is f(-5) prime? False Suppose 5*x - 3*x - 4 = 0. Suppose n + 791 = -x*o + 5*o, 5*n = o - 245. Is o composite? True Suppose -m - 5 = -1. Let t be 2*-1*m/(-8). Is 2 + (-111)/t + 2 a prime number? False Let f(l) = -l + 16. Let r be (3/5)/(6/210). Suppose -31 = -4*q + r. Is f(q) prime? True Suppose -3*r + 548 + 10219 = 0. Is r a composite number? True Suppose 2*j - 82 = 4*i, 2*j + 0*j - 38 = 2*i. Let l = i - -12. Is 826/10 + (-4)/l prime? True Let a = 1 + 3. Suppose a*h - q - 4874 = 1153, 4*q = 5*h - 7520. Let v = h - 955. Is v composite? True Suppose 15*d = 72339 + 56796. Is d a prime number? True Let p(q) = q**2 - 6*q - 2. Let d be p(8). Let u = d + -12. Suppose -2*i + 4*i - 4*l = 110, -251 = -5*i - u*l. Is i prime? False Suppose 2*w = 4*j - 47604, 7 + 9 = 4*w. Is j composite? False Let o = 45 + -42. Suppose -y = -w - 1349, 7*w - 3*w - 4047 = -o*y. Is y prime? False Let d(w) = 33*w - 1. Let n be d(7). Suppose -4*o - 678 - n = 0. Let u = -72 - o. Is u a composite number? True Let s = 8478 + 9305. Is s a composite number? False Suppose 0 = 3*a - 3*h + 1746, -1136 = 2*a + 6*h - h. Let o = -376 - a. Is o composite? True Let d(g) = -g**3 - 15*g**2 + g + 31. Let o be d(-15). Is ((-8)/o)/((-3)/1014) a composite number? True Let r(k) = -k**3 + k**2 - 3*k - 5. Let j be r(-4). Suppose -b - 8 = -j. Is b a prime number? True Is 4/(-1) + 29390/5 + 5 a prime number? True Let c(v) = -14*v + 27971. Is c(0) a composite number? True Suppose -26*u + 139145 + 60249 = 0. Is u composite? False Let b(c) = 244*c + 5. Let z be b(-7). Let h be 2 - -2 - z - 4. Suppose -3*q + 964 = -h. Is q prime? False Let v = -891 - -2609. Suppose -5*i - 2*l + v = 2*l, 6 = -2*l. Is i a composite number? True Suppose s - 6*s = -20. Let n be (-5 + s)*(-1629)/3. Suppose 0*j - n = -3*j. Is j a prime number? True Let i = -289 - -1210. Is i a prime number? False Let y be 6/3*(-18)/(-4). Let u be ((-12)/y)/(2/15). Is (-6)/u + (-322)/(-5) a prime number? False Suppose 5*s = o - 13137, -5*o + 65336 + 429 = -5*s. Is o prime? False Let i(b) = -52*b**3 + 2*b**2 + 2*b + 1. Let l be (-1 - 0) + 10/5. Suppose -2*o = 1 + l. Is i(o) a composite number? False Let h be (-12)/(-20)*-1*-5. Suppose 7*f = h*f + 1028. Is f composite? False Is ((-7577)/2 + 27/54)/(-2) composite? True Let f be 5*(2 - (-24)/(-15)). Let k = 5 + f. Suppose -k = i - 90. Is i composite? False Let u(z) = z**3 + 4*z**2 - 7*z - 7. Let s be u(-5). Suppose 0 = 2*c - 2, -q + c + 2163 = s*q. Is q prime? True Let p = 1780 + -294. Is p a composite number? True Let i be (-238)/6 + (-6)/(-9). Let n be (111/(-2))/(i/260). Is ((-2)/(-4))/(5/n) a composite number? False Suppose -4*w = 4*a + 17860, -8927 = 2*a - 2*w + 5*w. Let b = 10627 + a. Is b/21 + (-12)/42 composite? False Suppose -3*t + 2 = 4*n - 6*n, 2*n = -4*t + 26. Let m be 2/2*10/1. Suppose 0 = m*k - n*k - 65. Is k composite? False Let v = 22 - 18. Suppose 0 = f + v*n - 501, f + 1014 = 3*f + 5*n. Suppose f = i + 38. Is i a prime number? True Let p be (-8 + 0)/(6/(-33)). Suppose -p = -h + 53. Is h a composite number? False Is -9*(-6)/216 + (-10390)/(-8) a prime number? False Let y(g) = 9*g + 6. Let l = -16 - -20. Suppose -3*k + 20 = w, 5*w - 5 = l*k - 0*k. Is y(w) composite? True Let b(z) = -2500*z + 123. Is b(-4) a composite number? True Let j(q) = 4*q**2 - 3*q. Let p be j(3). Let h be 18/p + (-632)/(-6). Suppose 12*r = 14*r - h. Is r a prime number? True Let z(b) = -3*b**2 - b. Let h be z(-1). Let o be h - 1/(4/20). Is 6/42 + (-1000)/o prime? False Suppose -2162 = -2*s - 0*s. Let m = -744 + s. Is m a prime number? True Suppose 4*b - 41962 - 73170 = 0. Is b prime? False Suppose -55 = -5*w + 160. Let y(r) = -31 + 23 - w*r + 10*r. Is y(-3) a composite number? True Let c = 8260 + 580. Let x = c + -5047. Is x composite? False Suppose 2*b - 2*z - 24978 = 0, -b = z - 5*z - 12483. Is b composite? False Let c(h) be the third derivative of h**6/120 + h**5/10 - h**4/4 + 2*h**3/3 - 5*h**2. Let i be c(-7). Is (2 - (i + 3)) + 113 a prime number? False Let g = -210 + 489. Let s = -183 + 305. Let y = g - s. Is y prime? True Let p(v) = 12821*v**2 + 60*v + 60. Is p(-1) a prime number? True Let z(l) = 2584*l + 637. Is z(4) composite? False Let p(m) = 46*m - 335. Is p(28) a prime number? True Suppose 0 = -o - o. Suppose m - 5*m = o. Suppose m*d - 419 = -2*d - 5*j, 865 = 4*d + j. Is d a prime number? False Suppose 0 = -v - 3*q + 19, -v - 4*q = -10 - 11. Let o = -14 + v. Is (-332)/(-1) - (-3)/o a prime number? False Is 10/(-3) - 20/12 - -18418 prime? True Suppose 5*x + 2*y - 27 = 2, -y = -2. Suppose 368 = -x*a + 4183. Is a a composite number? True Let l(p) = 3076*p - 29. Is l(27) prime? True Suppose -5*t + 2*t = -4*g + 3449, -5*g + 4310 = -4*t. Suppose 0 = -v - 3*z + 1284, 4*v - 1296 = 3*v + z. Let u = v - g. Is u composite? True Let b(r) = 13*r**3 + 2*r**2 + r + 1. Suppose -5*y = -2*y - 33. Let f = -8 + y. Is b(f) a composite number? False Is (-809166)/(-10) + (-4)/(-10) prime? True Let z = -23 - -29. Suppose 2*d - z = 0, -4*j = -2*j - d - 467. Is j composite? True Let y(u) = u - 1. Let g be y(-1). Is 0 - (g + -2) - -517 composite? False Is (-25)/(-15)*(-1574 - -5)/(-1) prime? False Let g = 10489 - 4152. Is g a prime number? True Suppose -4*v = 5*t - 2*v - 19069, -4*t - 5*v = -15262. Is (-15)/20 - (-2 - t/12) composite? True Suppose -j = -2*j + 2. Suppose 0*s = j*s + 28. Let i(v) = -2*v + 3. Is i(s) composite? False Let c = -11 - 36. Let p(d) = -d**3 - 9*d**2 + 2*d - 8. Let h be p(-9). Let z = h - c. Is z prime? False Let w = -926 + 4039. Is w prime? False Suppose 13 = 2*b - 2*q + 5*q, 0 = b - 3*q + 16. Let u be 3 + 12/(3/b). Is ((-5)/u)/((-3)/(-123)) composite? True Let n(b) = 2*b - 6. Let u be n(-6). Let q = -36 + -597. Is (q/9)/(6/u) composite? False Let n be 15*(11/(-3) - -3). Let z be 10/4 + 5/n
{ "pile_set_name": "DM Mathematics" }
. 2, 3, 5, 2141 What are the prime factors of 3768032? 2, 117751 List the prime factors of 122973. 3, 179, 229 What are the prime factors of 1624098? 2, 3, 7, 38669 What are the prime factors of 7247968? 2, 7, 13, 19, 131 What are the prime factors of 6943855? 5, 43, 32297 What are the prime factors of 413528? 2, 51691 List the prime factors of 9181157. 1301, 7057 List the prime factors of 1219913. 1219913 What are the prime factors of 3818806? 2, 71, 26893 What are the prime factors of 492393? 3, 11, 43, 347 List the prime factors of 1726768. 2, 107923 What are the prime factors of 9020180? 2, 5, 13, 34693 What are the prime factors of 98869? 98869 List the prime factors of 465238. 2, 37, 6287 List the prime factors of 34452306. 2, 3, 7, 127, 2153 List the prime factors of 622960. 2, 5, 13, 599 List the prime factors of 8196016. 2, 512251 What are the prime factors of 527678? 2, 439, 601 What are the prime factors of 14416782? 2, 3, 17, 19, 43, 173 What are the prime factors of 16927654? 2, 8463827 What are the prime factors of 1633513? 7, 17, 37, 53 List the prime factors of 2580350. 2, 5, 51607 List the prime factors of 156144. 2, 3, 3253 List the prime factors of 194904. 2, 3, 2707 List the prime factors of 3391771. 3391771 List the prime factors of 735063. 3, 7, 17, 29, 71 List the prime factors of 650419. 7, 11, 8447 What are the prime factors of 330268? 2, 82567 What are the prime factors of 278179? 11, 19 What are the prime factors of 2051946? 2, 3, 13, 37, 79 What are the prime factors of 2826924? 2, 3, 235577 What are the prime factors of 1029649? 991, 1039 List the prime factors of 205818. 2, 3, 34303 List the prime factors of 116699. 11, 103 List the prime factors of 12352. 2, 193 List the prime factors of 2294317. 53, 73, 593 What are the prime factors of 155371? 155371 List the prime factors of 189890. 2, 5, 17, 1117 What are the prime factors of 182862? 2, 3, 10159 What are the prime factors of 116976? 2, 3, 2437 List the prime factors of 503266. 2, 29, 8677 List the prime factors of 6926161. 11, 57241 What are the prime factors of 169963? 349, 487 List the prime factors of 3442392. 2, 3, 15937 What are the prime factors of 68040? 2, 3, 5, 7 List the prime factors of 226553. 226553 List the prime factors of 472983. 3, 7, 101, 223 What are the prime factors of 13020385? 5, 7, 17, 79, 277 What are the prime factors of 459608? 2, 73, 787 What are the prime factors of 178082? 2, 89041 What are the prime factors of 10259435? 5, 2051887 List the prime factors of 1589231. 7, 23, 9871 List the prime factors of 4291092. 2, 3, 13, 53, 173 What are the prime factors of 477219? 3, 159073 List the prime factors of 5531421. 3, 7, 263401 List the prime factors of 14223133. 37, 53, 7253 What are the prime factors of 23670380? 2, 5, 29, 37, 1103 List the prime factors of 58180. 2, 5, 2909 List the prime factors of 781841. 101, 7741 List the prime factors of 3363927. 3, 7, 41, 3907 What are the prime factors of 6259592? 2, 29, 26981 List the prime factors of 9395031. 3, 379, 8263 List the prime factors of 6571763. 11, 597433 List the prime factors of 4722258. 2, 3, 787043 What are the prime factors of 368885? 5, 11, 19, 353 What are the prime factors of 11900542? 2, 97, 61343 What are the prime factors of 4380047? 7, 521, 1201 List the prime factors of 148597. 17, 8741 List the prime factors of 815099. 17, 47947 What are the prime factors of 256304? 2, 83, 193 What are the prime factors of 2844271? 2844271 What are the prime factors of 266190? 2, 3, 5, 19, 467 What are the prime factors of 5401745? 5, 59, 18311 What are the prime factors of 193564? 2, 7, 31, 223 List the prime factors of 304032. 2, 3, 3167 List the prime factors of 189813. 3, 13, 31, 157 List the prime factors of 87990. 2, 3, 5, 7, 419 List the prime factors of 6273957. 3, 2091319 List the prime factors of 1719118. 2, 859559 What are the prime factors of 5518884? 2, 3, 7, 65701 List the prime factors of 8323000. 2, 5, 7, 29, 41 What are the prime factors of 8010509? 13, 23, 73, 367 What are the prime factors of 1693043? 11, 153913 What are the prime factors of 147748? 2, 43, 859 What are the prime factors of 3277820? 2, 5, 7, 13, 1801 What are the prime factors of 208375? 5, 1667 What are the prime factors of 9005592? 2, 3, 375233 List the prime factors of 2744759. 19, 144461 What are the prime factors of 1902257? 7, 331, 821 List the prime factors of 3686005. 5, 67, 11003 List the prime factors of 2409039. 3, 267671 What are the prime factors of 23348255? 5, 7, 157, 607 List the prime factors of 4515395. 5, 903079 What are the prime factors of 520033? 433, 1201 List the prime factors of 169287. 3, 73, 773 List the prime factors of 17573507. 7, 29, 83, 149 List the prime factors of 449530. 2, 5, 44953 What are the prime factors of 17375084? 2, 4343771 List the prime factors of 546266. 2, 7, 39019 What are the prime factors of 96023? 131, 733 What are the prime factors of 883420? 2, 5, 44171 List the prime factors of 354063. 3, 107, 1103 List the prime factors of 430224. 2, 3, 8963 What are the prime factors of 17905526? 2, 1093, 8191 List the prime factors of 2147992. 2, 7, 11, 317 What are the prime factors of 1108896? 2, 3, 11551 List the prime factors of 685527. 3, 228509 List the prime factors of 1691350. 2, 5, 33827 List the prime factors of 9412529. 7, 1344647 What are the prime factors of 274323? 3, 7, 13063 What are the prime factors of 365234? 2, 182617 What are the prime factors of 460197? 3, 51133 What are the prime factors of 1929456? 2, 3, 13399 List the prime factors of 981510. 2, 3, 5, 32717 List the prime factors of 74709. 3, 2767 List the prime factors of 5533177. 13, 17, 25037 What are the prime factors of 1030049? 1030049 What are the prime factors of 28456494? 2, 3, 11, 359, 1201 List the prime factors of 2887191. 3, 61, 1753 List the prime factors of 1248059. 1248059 List the prime factors of 176554. 2, 7, 12611 List the prime factors of 736052. 2, 184013 What are the prime factors of 199621? 199621 What are the prime factors of 474538? 2, 17, 821 What are the prime factors of 12897937? 13, 643, 1543 What are the prime factors of 26400? 2, 3, 5, 11 List the prime factors of 18398367. 3, 13, 23, 43, 53 List the prime factors of 18760990. 2, 5, 47, 179, 223 List the prime factors of 11105. 5, 2221 What are the prime factors of 820008? 2, 3, 7, 1627 What are the prime factors of 7024326? 2, 3, 1170721 List the prime factors of 2241181. 2241181 List the prime factors of 121884. 2, 3, 7, 1451 List the prime factors of 1460901. 3, 13, 47, 797 What are the prime factors of 176829? 3, 58943 List the prime factors of 358133. 23, 677 What are the prime factors of 4136659? 109, 37951 What are the prime factors of 17498697? 3, 419, 13921 What are the prime factors of 839365? 5, 167873 List the prime factors of 906624. 2, 3, 787 What are the prime factors of 76407? 3, 25469 List the prime factors of 707082. 2, 3, 191, 617 List the prime factors of 449031. 3, 11, 1237 List the prime factors of 2311755. 3, 5, 229, 673 What are the prime factors of 277062? 2, 3, 61, 757 List the prime factors of 8282266. 2, 4141133 What are the prime factors of 729230? 2, 5, 72923 List the prime factors of 279908. 2, 19, 29, 127 What are the prime factors of 627422? 2, 313711 What are the prime factors of 37474? 2, 41, 457 List the prime factors of 792892. 2, 198223 List the prime factors of 207133. 103, 2011 What are the prime factors of 617335? 5, 311, 397 List the prime factors of 1508184. 2, 3, 20947 What are the prime factors of 629308? 2, 157327 List the prime factors of 175928. 2, 21991 What are the prime factors of 11718458? 2, 1759, 3331 List the prime factors of 646008. 2, 3, 11, 2447 What are the prime factors of 6604634? 2, 23, 29, 4951 List the prime factors of 1580315. 5, 11, 59, 487 What are the prime factors of 233472? 2, 3, 19 List the prime factors of 319742. 2, 159871 What are the prime factors of 1742935? 5, 348587 What are the prime factors of 137324? 2, 11, 3121 What are the prime factors of 374893? 374893 List the prime factors of 20718034. 2, 157, 65981 What are the prime factors of 24082113? 3, 11, 729761 What are the prime factors of 15288489? 3, 47, 769 What a
{ "pile_set_name": "DM Mathematics" }
d 95428? 4 What is the greatest common divisor of 36 and 28325331? 9 Calculate the greatest common factor of 15916609 and 899. 31 What is the greatest common factor of 855360 and 1371040? 1760 Calculate the greatest common divisor of 34750 and 157815040. 1390 Calculate the greatest common divisor of 123 and 8341. 1 Calculate the greatest common divisor of 594877 and 11899. 73 Calculate the greatest common factor of 490162443 and 3. 3 What is the highest common divisor of 476 and 44756? 4 Calculate the highest common divisor of 2808 and 1261608. 24 What is the greatest common divisor of 1 and 297547530? 1 What is the greatest common factor of 59952650 and 37216? 2326 What is the greatest common divisor of 14118156 and 2716? 388 What is the highest common factor of 210 and 1788243170? 70 What is the highest common divisor of 1668124 and 77522? 934 Calculate the greatest common divisor of 66185600 and 832. 832 What is the greatest common divisor of 3390 and 51178? 2 What is the highest common factor of 275 and 46882000? 275 What is the highest common divisor of 2455 and 18064872? 491 What is the highest common factor of 322 and 167623? 1 What is the highest common factor of 1612818 and 42? 6 What is the greatest common divisor of 640880 and 275160? 40 Calculate the highest common divisor of 322 and 9933424. 46 What is the greatest common divisor of 6390288 and 10301832? 14328 What is the greatest common factor of 294 and 410823? 21 What is the greatest common divisor of 441 and 80215317? 63 What is the highest common factor of 63051613 and 30256? 1891 Calculate the highest common factor of 212164386 and 27345. 5469 What is the highest common factor of 29471520 and 56160? 6240 Calculate the highest common factor of 9 and 19244079. 9 What is the greatest common factor of 290 and 21452605? 145 Calculate the highest common divisor of 1921948 and 87316. 332 Calculate the greatest common divisor of 299 and 17907617. 13 Calculate the greatest common factor of 9570859 and 16957. 547 Calculate the greatest common divisor of 919251224 and 16336. 8168 Calculate the highest common factor of 513402678 and 3327. 3327 Calculate the highest common divisor of 43758973 and 67. 67 What is the greatest common divisor of 12035 and 4031? 29 What is the greatest common factor of 132751423 and 46? 23 Calculate the greatest common factor of 4039596 and 15516. 36 Calculate the highest common divisor of 5822611 and 161. 23 What is the greatest common factor of 5093 and 187664086? 463 Calculate the highest common factor of 1530373 and 19123. 13 What is the highest common divisor of 118090232 and 13? 13 Calculate the highest common divisor of 660 and 425048220. 60 Calculate the greatest common factor of 3801371 and 253. 23 What is the greatest common factor of 832 and 8767538? 26 Calculate the highest common factor of 227280 and 41406628. 3788 Calculate the highest common factor of 215474610 and 218475. 14565 Calculate the highest common factor of 228 and 14555064. 228 Calculate the highest common factor of 40529268 and 72. 36 What is the highest common divisor of 1265313 and 210? 21 What is the highest common factor of 133692 and 2366598? 78 What is the highest common factor of 7306816 and 1712? 1712 Calculate the greatest common factor of 2335047 and 4407. 39 What is the greatest common divisor of 237811 and 3867794? 4487 What is the greatest common divisor of 481 and 10841857? 13 What is the highest common factor of 263156352 and 48? 48 What is the greatest common factor of 95694171 and 87? 87 What is the highest common divisor of 147193 and 49903253? 2413 What is the highest common divisor of 346033856 and 18128? 1648 What is the highest common divisor of 1071588072 and 24? 24 Calculate the greatest common divisor of 867529 and 247. 13 What is the greatest common factor of 1093651 and 5? 1 What is the highest common divisor of 2528710 and 120? 10 What is the greatest common divisor of 4214095 and 15? 5 What is the greatest common factor of 129336 and 74664? 408 Calculate the highest common factor of 3068609 and 559. 43 What is the greatest common divisor of 8211863 and 5192? 11 What is the highest common divisor of 5487 and 1838641? 31 What is the highest common factor of 125102142 and 213? 213 Calculate the greatest common factor of 23313675 and 88080. 5505 Calculate the highest common divisor of 197205304 and 306. 34 Calculate the highest common factor of 1394 and 183308. 2 What is the greatest common divisor of 8325384 and 444? 12 What is the greatest common divisor of 14964 and 120228? 516 Calculate the highest common factor of 21805504 and 4256. 224 Calculate the highest common factor of 4074 and 344778. 42 Calculate the greatest common factor of 249 and 220771617. 249 Calculate the greatest common divisor of 726358494 and 6. 6 Calculate the greatest common factor of 806 and 21230274. 26 Calculate the greatest common divisor of 47008 and 134888. 104 What is the greatest common factor of 290949 and 1389406? 293 What is the highest common factor of 20 and 184395590? 10 What is the highest common factor of 416 and 40866475? 13 What is the greatest common factor of 30555 and 79055? 485 What is the highest common divisor of 424468 and 23232? 484 Calculate the greatest common divisor of 1124135 and 532. 19 Calculate the greatest common factor of 254 and 160947862. 254 Calculate the highest common factor of 1716 and 6789684. 132 Calculate the greatest common divisor of 110 and 452804605. 55 Calculate the highest common divisor of 1352 and 19435676. 676 What is the greatest common factor of 455568 and 1344? 48 Calculate the highest common divisor of 247476 and 131856. 492 What is the highest common factor of 10606482 and 153? 9 What is the greatest common divisor of 209 and 1572882586? 209 What is the highest common divisor of 31278 and 2656224? 2406 Calculate the highest common factor of 701473924 and 3944. 1972 What is the highest common factor of 7040693 and 5291? 407 Calculate the highest common factor of 2305 and 10162745. 2305 Calculate the highest common divisor of 3400 and 3488825. 425 Calculate the greatest common divisor of 1797 and 474428366. 599 What is the greatest common divisor of 234085030 and 115? 115 Calculate the highest common divisor of 4425 and 8754825. 75 Calculate the highest common divisor of 1751 and 35858729. 1751 Calculate the highest common divisor of 1326 and 31538247. 663 Calculate the greatest common divisor of 5677 and 478369972. 811 What is the greatest common divisor of 95382980 and 385? 385 What is the greatest common factor of 29041 and 856201? 113 Calculate the greatest common factor of 240 and 35111760. 240 Calculate the highest common factor of 459 and 13925907. 153 What is the greatest common divisor of 80938368 and 1344? 1344 What is the greatest common divisor of 105828341 and 818? 409 Calculate the highest common divisor of 528 and 96896. 16 What is the highest common factor of 15653677 and 602? 43 Calculate the highest common divisor of 2710 and 139150370. 2710 What is the highest common divisor of 32844 and 976626? 966 What is the highest common factor of 18944 and 544256? 512 Calculate the highest common divisor of 1050303 and 5433962. 4931 Calculate the greatest common divisor of 4312 and 255497088. 616 Calculate the greatest common divisor of 24972 and 468. 12 Calculate the highest common divisor of 4835952 and 4653. 99 Calculate the highest common factor of 9 and 4670242. 1 What is the greatest common factor of 148375805 and 5245? 5245 Calculate the greatest common divisor of 11803580 and 1740. 580 What is the greatest common factor of 65615133 and 7959? 1137 What is the highest common divisor of 175477366 and 102? 34 What is the highest common divisor of 685 and 178288512? 137 Calculate the highest common factor of 25985137 and 111624. 4651 Calculate the greatest common factor of 5679942 and 4689. 1563 Calculate the greatest common factor of 644820274 and 434. 434 What is the highest common divisor of 664 and 110152786? 166 What is the greatest common divisor of 468 and 109678062? 78 Calculate the highest common divisor of 232 and 5085896. 8 What is the greatest common divisor of 105999773 and 86? 43 Calculate the grea
{ "pile_set_name": "DM Mathematics" }
t x = 232 - 233. Which is the closest to 0? (a) 0.3 (b) 4 (c) x a Let j be 57/15 - (-11)/55. Which is the closest to 27? (a) 3/7 (b) j (c) 0.1 b Let k = 0.6 - 0.3. Let d be 10/(-15)*(16/10 + -1). What is the closest to -1 in d, 4, k? d Suppose -5*g + 2 = -2*j, 4 = -4*j + 4*g - 5*g. What is the nearest to j in 0.1, -12.4, 2/7? 0.1 Let v be (8/1 - 4)/(-14)*1. Which is the closest to v? (a) -0.1 (b) 0.4 (c) 0.2 (d) 4 a Let v = 559 - 558. Let j = 6 + -1. What is the nearest to 0 in v, 3, j? v Let g be (-2)/3*12/16. Let m be 1/(-2)*21/(-42). Let q be (-8)/(-50)*35/(-14). Which is the nearest to m? (a) g (b) 4 (c) q c Let c(v) = -v**3 - 4*v**2 - 4*v. Let y be c(-2). Let u = 0.5 + -1. What is the nearest to y in 5, u, -1/5? -1/5 Let b = -1.382 + 0.982. What is the closest to 0.1 in -3/7, b, -4, 0? 0 Let s = -442 - -1324/3. Let v = -37 - -112/3. What is the closest to v in -4, s, 0.4? 0.4 Let u = -29 - -29.1. Let v be -2 + (-38)/(-6) - 3. Which is the closest to 2/7? (a) 5 (b) v (c) u c Let v = -1/7 - -12/35. Which is the closest to 9? (a) -0.1 (b) 1 (c) v b Let w be (7/(-2))/(21/(-12))*2/10. Suppose 3*p + 6*j - j + 80 = 0, -5*j = -p. Let z be (2/p)/(4/(-15)). What is the nearest to z in w, 1, 0.5? w Let v = 0.546 + 22.454. Which is the nearest to -1? (a) -0.4 (b) 3/8 (c) v (d) -3 a Let i = -863 + 870.26. Let n = i + -11.5. Let o = -0.24 - n. Which is the closest to 2/7? (a) o (b) -3 (c) -1 c Let n be ((-5)/(-20)*-2)/1. Let z be (-6)/20*(-5)/6. Let q be -1*1*(-2 - -1). Which is the closest to q? (a) 3 (b) z (c) n b Let o = 4.3 - 2.4. Let j = o - -3.1. Let u = -3 + 3.1. Which is the closest to u? (a) 1/3 (b) 1 (c) j a Let i = 0.183 + -0.183. What is the closest to 24 in -0.3, i, 0.3, -5? 0.3 Let w = -1 + 5. Let t = -51/5 + 464/45. Which is the closest to 0.3? (a) 0.2 (b) t (c) w a Let k = 349 - 377. What is the nearest to 2 in -3/7, k, -0.5? -3/7 Let d = 0.24 - 0.54. Which is the nearest to 6/7? (a) -0.2 (b) -2/5 (c) d a Suppose -4*h + 2 = 6. Let l be (4/(-7))/(216/(-84)). Let w = 27/20 + -8/5. Which is the closest to 0.1? (a) l (b) h (c) w a Let v = 275.5 + -275. What is the closest to -2/9 in v, 2, -3? v Let v = -18 - -16.2. Let r = -0.2 + v. Which is the nearest to -2? (a) r (b) -0.4 (c) -5 a Let h = 8 - 7. Suppose 0 = -6*k + 4 + 14. Which is the nearest to -2/5? (a) k (b) h (c) 0.5 c Let m be (-6 + 8)*(-4)/(40/25). What is the closest to -1/2 in 1, 0.7, m? 0.7 Let l be ((12/10)/3)/(14/(-10)). Let y = 0.3 - 0.2. Let x = 0.3 + y. What is the closest to l in 0, 2, x? 0 Let s(h) = -h**3 - 2*h**2 + 8*h - 1. Let n be s(-4). Let p = 0 + 2. Let x be p*(1 + 6/(-4)). What is the closest to n in 0.4, x, -3? x Let h be (-7 - (-1 + -3)) + (-182)/(-51). Let j = h - 4/17. What is the closest to j in 0, -1, 3? 0 Let y = 0.8 + -0.6. Let w = -27 - -32. Let t = 10 - w. Which is the closest to t? (a) y (b) 1/3 (c) -1/3 b Let s(a) = 4*a + 8 + a**3 - 3 - 2*a + 5*a**2. Let d be s(-5). Let b = 355 + -4617/13. What is the closest to -2/19 in d, b, 3? b Suppose 0*q + q = 0. Let c = -19.005 - -19.105. What is the closest to -4 in c, q, 0.2? q Let n = 46 - 46. What is the closest to 2/7 in n, -4, -2? n Let r = 38.15 + -40. Let u = r - -2. Let m = -0.25 + u. What is the nearest to m in 4, 1, -3? 1 Let j = -237 + 264. What is the closest to j in 3, -4, 5? 5 Let p = -871 + 870.9. What is the nearest to p in 0.02, -1/4, -4, -3? 0.02 Suppose -5*b = 7*f - 6*f - 9, 5 = f + b. What is the nearest to 4 in f, 1/3, -1? f Suppose 316*s - 332*s - 64 = 0. Which is the closest to -1/2? (a) 0 (b) 0.2 (c) s (d) 0.7 a Let j = -8849 - -44243/5. Suppose 6*p = 3*p + 3. Let l = 1.5 + -2. Which is the nearest to j? (a) p (b) -2/11 (c) l c Let n = 28.44 - 28. Let f = n - 0.34. Which is the closest to f? (a) 0.05 (b) -4 (c) 5 a Let j = 0.01 + 0.04. Let k = -10 - -10.76. Let h = k - 0.36. Which is the nearest to 2/3? (a) j (b) 4 (c) h c Let z = -24/6643 - -888288/6643. Let j = 134 - z. What is the closest to j in -0.5, -2/3, 0.2? 0.2 Let c = 160 + -162. What is the nearest to 0.2 in 0.1, c, 5? 0.1 Let l = -2/1389 - 1301/61116. Which is the closest to -2/3? (a) -0.1 (b) 0.4 (c) l a Suppose 0 = -z - 5, 2*u + 5 = -2*z + z. Let i = -532/1025 + 18/41. Which is the closest to u? (a) i (b) 2/15 (c) -0.4 a Let j = -106 + 112. Let m be (-8)/(-20) - 28/35. Which is the closest to -2? (a) j (b) 4 (c) m c Suppose -v - 3*p = -15, -5*v + 27 = -2*p + 5*p. Let c be (v + -6)/((-4)/(-4)). What is the closest to -0.2 in c, 1/5, 0.3? 1/5 Let l = -103/357 - -1/357. Which is the nearest to 0? (a) -0.2 (b) -0.5 (c) l (d) 0.7 a Let o(p) = p**2 + 10*p - 24. Let f be o(-12). Suppose -2*j - 4*z - 22 = f, z + 6 = -3*j - 12. Let q = -0.2 + 0. Which is the nearest to q? (a) 4 (b) -2 (c) j b Suppose -2*o = -3*q - 1, -6*o + 4*q = -o - 6. Which is the closest to -0.2? (a) 3/2 (b) 4 (c) o a Let q = -1 + 1.2. Let d = -21/134 - 1955/1206. Let z = d + 10/9. Which is the nearest to z? (a) -1 (b) q (c) 3 a Let z = 741 - 1481/2. What is the closest to z in 2, 43, 2/15? 2/15 Let f(q) = q**2 + 6. Let j be f(-3). Suppose -j*n + 15 = -20*n. Let i = -85/3 + 28. What is the nearest to -4 in 0, n, i? n Let f = -35 + 48. Let x = f + -13.2. What is the nearest to 2/15 in x, 3, 1? x Let a = 150.1 + -150.132. What is the nearest to 2 in 0, -2, a, 1? 1 Let d = -0.9747 + -0.0253. What is the closest to d in -8, 2, -2? -2 Let h = -1144 + 1143. Let x = 3 + 0. What is the closest to h in -0.1, x, -1/4? -1/4 Let h be 4/2*45/18. Which is the nearest to 4/3? (a) 1/3 (b) -2 (c) h (d) -0.2 a Let h = -282.9 + 283. What is the nearest to h in -0.4, 27, 2? -0.4 Let l = -0.712 + -0.588. Which is the closest to l? (a) 5 (b) 0.2 (c) -1/6 c Let p = -9.351 - -8.88. Let o = 0.029 - p. Let v = -1 + 0.8. What is the nearest to -2 in 1/5, v, o? v Let g = 1 - -1. Let j = -0.48 + 0.68. What is the closest to -0.1 in g, -2, j? j Let p be (-45)/20 - 2/(-8). Let f be (p/9)/((-22)/33). Let r = 1/6 + f. Which is the closest to r? (a) 0.5 (b) 3 (c) 1/3 a Let y = 46.4 + -47. Let z = 0.5 + y. Which is the closest to -0.2? (a) 2/15 (b) 0.4 (c) z c Let r be (-150)/18 - 8/12. What is the nearest to 0.1 in 2/11, r, 0.1? 0.1 Let o = -0.5 + 3.5. Let z be (-1)/5 - (-966)/(-20). Let m = z + 48. What is the closest to m in 4, -3, o? -3 Let b = -1.65 - 0.15. Let f = b - -1.6. What is the closest to f in 1, -2, 3/8? 3/8 Let n = 24386/215 + -216/43. Let j = -109 + n. What is the closest to -1/4 in 2/13, j, 1/6? j Let i = 156 + -156.69. Let f = -4.69 - i. What is the nearest to 5 in f, -0.3, 0.2? 0.2 Let j(o) = -o**3 - 17*o**2 + 17*o - 15. Let x be j(-18). Which is the nearest to -1? (a) x (b) -84 (c) 4 a Let d = -27841/58 - -480. What is the nearest to -1/2 in 3, d, -2? d Let m = 4 - 7. Let v be (-75)/69 + (m - 2) + 6. What is the closest to -0.1 in v, 1, -3? v Let s = 0.01 + -0.01. Let n = -411 - -410.86. What is the closest to 2 in s, n, -0.2? s Let f = 102 - 103. Let i = -12 - -18. What is the nearest to -1 in i, f, 0.5? f Let t be (1 - (-5 + 14)) + 4. Which is the closest to -2/5? (a) -121 (b) t (c) 4 b Let y = 271 + -269. Let a = -208/5 - -41. What is the closest to y in 0.5, a, -1? 0.5 Let i = 9 + -14. Let y = -311.1 + 311. What is the nearest to y in 2/3, 0.05, i? 0.05 Let u = -1.7 - 2.8. Let f = u - 0.5. Let b = f + 5. What is the closest to b in -2, -2/19, 1/10? 1/10 Let n = -1 - -55. Let q be 11/((-165)/n) + 4. Let u = 5 - 9. What is the closest to q in -2, 1/3, u? 1/3 Let q = 2/87 - -56/87. Let j = -1.1 + 1. Let u = -341 + 340.8. What is the closest to j in 0.02, u, q? u Let h = -23 + 22. Let o be (18/16)/((-18)/24). Let v = -5 + 0. Which is the nearest to h? (a) -2/5 (b) v (c) o c Let v = 655 - 660. What is the closest to 0.1 in -1, -65, v? -1 Let l = -4.2 + -6.8. Let t = 6 + -4. Which is the nearest to t? (a) -0.3 (b) 4 (c) l b Let m = -91/3 - -30. What is the closest to 1/4 in -6/7, m, -3, -0.3? -0.3 Suppose -4*l = -6*l. Suppose -k - 5 = -l*k. What is the closest to 2/5 in -0.3, k, 3? -0.3 Let m = 96.9 + -97. Suppose -3*d + 8*d - 15 = 0. Suppose 11 = -5*j + 3*s, j - d*j + s = 5. What is the closest to m in j, 5, 1/4? 1/4 Let p = 188 - 188.1. Let m be 2/3 - (-14)/21. W
{ "pile_set_name": "DM Mathematics" }
= -13 + 12. Which is the nearest to q? (a) 0.3 (b) w (c) 0.1 c Let u = -0.2 - -0.2. Let y be -7 + (-60)/(-8) + 11/(-6). Let p(w) = -2*w - 3. Let m be p(-2). Which is the closest to u? (a) 2/15 (b) m (c) y a Let k = 0.3 - 0.5. Let y = -0.8 + k. Let c = 16 - 20. What is the closest to -1 in -3, y, c? y Let n = -0.06 + 0.06. Suppose -c + 3 = 5*w - 12, -2*c - 15 = -5*w. What is the nearest to w in 3/7, 5, n? 5 Let i = -0.404 - -0.004. Let s = -41 - -57. Which is the closest to s? (a) 2 (b) i (c) 2/3 a Let g = -1181/13 + 91. Let f = -2.423 + 0.423. Which is the nearest to -1/3? (a) f (b) g (c) 2/5 b Let p be ((-40)/(-36)*-3 - -6) + -2. Let v(y) = y - 7. Let h be v(4). What is the closest to p in 0.3, 5, h? 0.3 Let r = -1.8 + 2. Let x be 2/(-11) - 264/(-121). Let j = x - 7/3. Which is the closest to -8? (a) r (b) 2/3 (c) j c Suppose -11*g + 3*a = -10*g - 2, -g - 18 = 2*a. What is the closest to g in 1/3, -0.4, 2, -3? -3 Let j = -479 + 489. What is the nearest to -1 in -1/9, j, -0.3? -0.3 Suppose -w + 6 = 4*w + 2*j, j - 3 = -4*w. Suppose w = h, 3*k + h = -0*h. Let r be (-20)/(-25) + (k - 0). Which is the closest to 0? (a) r (b) 1 (c) 0 c Let a = -14 + 13. Let v = 0.0472 - -0.0528. What is the closest to v in -0.3, a, 2? -0.3 Let d be 2*(-15 - (-3366)/220). Let p = -0.2 - -0.3. Which is the closest to d? (a) 2 (b) -3 (c) p c Let n = -61 - -66. Which is the closest to -0.1? (a) 2 (b) 4 (c) n a Let l = 10.42 + -10.72. Let o = 585.94 + -591. Let h = -0.06 - o. Which is the closest to -1? (a) -5 (b) l (c) h b Let w = -17897/5508 - 1/1377. Which is the closest to -1? (a) 2/7 (b) 3/2 (c) w a Let w = -2.8 + -15.2. Let f = -21 - w. Which is the nearest to -2/7? (a) -4/5 (b) f (c) 5 a Let q = 0.16 - -0.04. Let i = -41 + 40.8. What is the nearest to i in -2/11, q, 0? -2/11 Let i = -1.219 - -1.219. Which is the closest to -1/3? (a) 2 (b) -1/5 (c) i (d) -2 b Let p = 0.13 + -0.2. Let u = p - 0.93. Let n be ((-9)/(-3) + -1)/(-3). Which is the closest to -2/7? (a) 0.3 (b) n (c) u b Suppose 149*u + 12 = 155*u. What is the nearest to 2/9 in 5, 0.4, u? 0.4 Suppose -7*r + 3*r - 2*w - 10 = 0, 4*r - 4*w = -16. Let u be -2*1 + r + 5. Which is the nearest to -1? (a) -0.2 (b) u (c) -4 a Let n = 8 + -3. Let t = -6.888 - -0.888. What is the closest to 0 in -0.4, n, t? -0.4 Let d = 28 - 27.6. Suppose -n = -7 + 4. Let s be n/(-5)*(1 + -6). What is the nearest to -1 in 2/9, d, s? 2/9 Let l = 0.1583 + 0.1017. What is the nearest to 3/4 in -0.5, l, 2/15? l Let r = 6/5 + -74/45. Let a = 0.7 - -0.3. Let w be (-6)/9 + 6/3. What is the closest to a in r, w, 7? w Let d = -25 - -21. Let k be (12/(1 + 2))/1. Suppose -k*v + 3*i - i - 14 = 0, -5*v + 3*i - 20 = 0. What is the nearest to v in 3, d, 0? 0 Let i = 18 + -18. Let q = -4.77 + -0.23. Let f be (3/6)/(9/6). Which is the nearest to f? (a) i (b) q (c) -1 a Suppose -2*h = o + 1, 3*o + 3*h = 4*h - 10. What is the closest to 6 in -0.5, 2/7, o, 1/5? 2/7 Let t = 1 + 3. Let i = -4.07 + t. Let k be 2/56 - (-18)/(-63). Which is the closest to 0? (a) i (b) k (c) -4 a Let y = 7/37 + -227/222. What is the closest to -0.5 in y, 2, 1, 3? y Let a = 213 + -212.8. What is the closest to a in -6, 3, -0.4? -0.4 Let m = 1.534 - 17.514. Let d = 11 + m. Let h = 0.02 - d. Which is the closest to 2/3? (a) h (b) 6/11 (c) 0.5 b Let w = -1.1 + 0.1. Let b be 10 + -3 + (-64)/9. Let a = -0.22 - 0.08. What is the closest to w in b, a, -2/7? a Let d be ((-28)/6)/(34/(-51)). Suppose 0 = 10*a - d*a - 6. Let g(u) = -u**2 - 2. Let j be g(0). What is the closest to a in j, -1, -1/5? -1/5 Let g = -16.26 + 16. Let v = -0.66 - g. What is the closest to 1/2 in 0.2, -5, v? 0.2 Let b = -0.3 + 0.1. Let i = 5577 - 5576. What is the nearest to i in 1/8, 0, b? 1/8 Let b = 0.426 - 1.426. What is the nearest to b in 1/2, 1.1, -3, -2/5? -2/5 Let t = -4.178 - -0.218. Let j = 0.04 - t. Let q = -61.4 + 61.3. Which is the nearest to 5? (a) j (b) q (c) 0.1 a Let p = -19 - 21. Let t = -40.2 - p. Which is the nearest to -1/4? (a) -1/6 (b) t (c) -2/5 b Let m(r) = -r**3 - 14*r**2 + 18*r + 44. Let o be m(-15). Which is the closest to 0? (a) 3/19 (b) 1/3 (c) o a Let u = -1.37 + 1.27. What is the nearest to 2 in 0.4, u, -2? 0.4 Let p = -32 - -25. Let n = p - 1. What is the closest to -1 in n, -2, -1? -1 Let v = 651 + -651.1. What is the nearest to v in 1, -0.016, -0.2? -0.016 Let n = 0.01 - 0.37. Let v = n + 1.36. What is the closest to v in 5, 2/3, -8? 2/3 Suppose 0 = -20*j + 15 + 45. What is the closest to -13 in j, -2, -1? -2 Let x = 0.22 - -3.78. Let z = 0.18 + 0.52. Let h = z + -0.8. What is the nearest to h in x, -2/11, -4? -2/11 Let g be 0 + 0 - (-1136)/(-4). Let o = 3122/11 + g. Which is the nearest to -1? (a) -0.06 (b) -1/7 (c) o c Let s = 1.87 - -2.13. Which is the nearest to -0.1? (a) -0.3 (b) s (c) 0.02 c Let t = -484 - -486. Let d be (-2)/5 + (-6)/(-10). What is the closest to -4 in -0.2, d, t? -0.2 Let p = -6 - -5. Let l be (-4)/30*3*-45. Let a be l/(-84) - 2/(-4). What is the closest to a in 4, p, 0.5? 0.5 Let l(j) = -5*j + 4. Let g = -58 + 59. Let v be l(g). Which is the closest to 2? (a) 2/21 (b) -2/9 (c) v a Let o = 37/22 - -9/11. Let q be 162/648 - (-1)/(4/11). Which is the nearest to -2/7? (a) q (b) o (c) 2 c Let n = -31 + 7.8. Let j = n + 23. Which is the closest to -4? (a) j (b) -1/4 (c) 0.3 b Let s = 13 + -24. Let i = s - -9. What is the closest to 4/5 in 1, 4, i? 1 Let z = -0.15 + 0.35. Let t = 4.039 + -0.039. Which is the closest to -1? (a) t (b) z (c) 2/7 b Let l = -149 - -153. Let k be (-2)/(-12)*-3 + -3 + l. Let p = -5 + 2. Which is the nearest to 1? (a) p (b) -1/7 (c) k c Let f = -56 + 53. Let z = -3.2 - f. Let s = 5 - 5.3. Which is the closest to -1? (a) s (b) z (c) 0.5 a Let x = 151.1 - 151. Which is the nearest to -0.1? (a) x (b) -4/7 (c) 0 (d) 95 c Let k = -10.17 + 0.17. Let h = k + 10.2. Let p = 2.1 - 1.1. Which is the closest to h? (a) p (b) 1/11 (c) -0.5 b Let g = -195 + 195. Which is the closest to 1? (a) 4 (b) g (c) -4 (d) 2/13 d Let m = -24 + 38. Let v = 14.2 - m. Let r = v - 0.3. Which is the closest to 2/7? (a) 1 (b) 4 (c) r c Let h = -719.07 + 722. Let k = -201.07 + 201. Let m = k - h. Which is the nearest to m? (a) -2 (b) -1/9 (c) 4 a Let d = -27.79 + 31.79. What is the nearest to 6 in 4/3, -1/3, d, 0.2? d Let g = 15 - 20. Let o(m) = m**3 + 6*m**2 + 4*m. Let l be o(g). Suppose 4*x = -5*d - 12, x - 9 = d - 3. What is the closest to x in -0.5, l, 5/2? 5/2 Let j = 420 - 419.9. What is the nearest to 1 in j, 0, -0.5, -3? j Suppose 7*i - 21 = -140. Let x be 15 + i + (-4)/(-6). Which is the closest to 3? (a) x (b) 0 (c) -1 b Let u = -2.66 - -2.76. Which is the closest to u? (a) 3 (b) -2/11 (c) -2/7 (d) 1 b Suppose -5*f - 8*n = -7*n + 2, -4*n + 13 = -f. Let p be ((-1)/(-4))/(0 - -1). What is the closest to -0.3 in f, -1/5, p? -1/5 Suppose 0 = 3*x - 9, 4*x = -s + 8*x - 6. What is the closest to 2 in 0, 1/5, 1/4, s? 1/4 Let n = -0.36 - -5.36. What is the closest to 0.1 in 1, n, -2? 1 Let q = -334 - -336. What is the nearest to 1 in -0.8, q, -0.5, -5? q Let v be 1/(-4) - (-45)/(-90). Let g(o) = -o**3 + 2*o - 1. Let x be g(0). What is the nearest to x in v, 0.2, -3? v Let c = -74172 - -961920/13. Let b = c - -178. What is the closest to 2/9 in 5, b, 3? b Suppose 12 = -a - 2*a. Let w = 1.593 + 2.407. What is the nearest to w in -1/2, a, 1? 1 Let i = 47/84 - -4/21. Which is the nearest to i? (a) -5 (b) -3 (c) -1/3 (d) -0.2 d Let o = -108.6 + 108.2. Which is the nearest to 0.3? (a) 1/6 (b) o (c) 2/7 c Let w = -293/3 - -97. Let p = -10 + 10. What is the closest to 0.1 in p, w, 3? p Let y(i) = -i**3 + 8*i**2 - 7*i - 16. Let m be y(7). Let n = 11 + m. What is the closest to n in 0, -4, 0.2? -4 Let k = 0.2 - 0. Suppose 0 = -2*f + 4, 0 = -w + 3*w + 4*f - 6. Which is the nearest to -0.1? (a) k (b) w (c) 5 a Let x = 56 + -51. Let p = -0.7 - 1.3. Which is the nearest to -0.1? (a) p (b) 1 (c) x b Suppose w + 2*w + 9 = 0, -5*b - 3*w - 4 = 0. Suppose n - 10 = b. What is the nearest to n in -2, 4, 2? 4 Let b = -115 + 13. Let p be -4 - 3*b/81. Let x = 259/1830 + -1/122. What is the closest to p in 5, x, 1/3? x Suppose 5*b + b = -270. Let u = -49 - b. Let o
{ "pile_set_name": "DM Mathematics" }
- 4*r**3 - 17*r**3 wrt r? -126 Let t(f) be the third derivative of 23*f**8/84 - 16*f**4/3 - 516*f**2. Find the second derivative of t(b) wrt b. 1840*b**3 What is the derivative of 22 + 207*z + 4*z - 113*z wrt z? 98 Let y = 19 + -17. What is the third derivative of -16*g**3 - g**2 - y*g**3 + 9*g**3 wrt g? -54 What is the third derivative of 33*n**3 - 30*n**2 + 144 + 9 + 18*n**2 + 14*n**2 + 444*n**3 wrt n? 2862 Suppose 14*o = 12*o + 124. What is the first derivative of b**4 - 23 + o + b**4 wrt b? 8*b**3 Let s(t) be the second derivative of -19*t**4/12 + 5*t**3/6 + 104*t**2 + 28*t. What is the derivative of s(h) wrt h? -38*h + 5 What is the third derivative of -o - 5*o - 2*o**6 - 45580*o**5 - 2*o + 45504*o**5 - 13*o**2 wrt o? -240*o**3 - 4560*o**2 Let k(w) be the third derivative of 4*w**7/105 + w**5/15 + 199*w**3/6 - 4*w**2 - 58*w. What is the derivative of k(u) wrt u? 32*u**3 + 8*u Let t(s) = -71*s**2 - 2*s + 5. Let p(g) = -69*g**2 - g + 6. Let d(v) = -3*p(v) + 4*t(v). Find the second derivative of d(m) wrt m. -154 What is the derivative of 3*a**2 - 64 + 2*a**2 - 31 + 22 wrt a? 10*a Let h(i) = 95*i**3 - 4*i**2 + 2*i - 163. Let y(r) = -r**4 - r**3 + 2*r**2 - r + 1. Let k(q) = -h(q) - 2*y(q). Differentiate k(a) wrt a. 8*a**3 - 279*a**2 Let z(w) = 3*w**2 - 111*w - 20. Let d(q) = -q**2 - 1. Let k(p) = d(p) + z(p). What is the derivative of k(c) wrt c? 4*c - 111 Let z be (0 - 66/(-4))/((-8)/(-16)). Differentiate 4 - z*p - 3 + 6 - 2 with respect to p. -33 Suppose 2*b = -4, b + 96 + 91 = 5*w. Find the first derivative of w - 66*m + 66*m + 19*m**2 wrt m. 38*m Let s be (-3)/(-2) + (-4)/(-8). What is the third derivative of 6 - 2 + s*m**2 - 12*m**6 - 4 wrt m? -1440*m**3 Let v(w) = -142*w**3 - 4*w**2 - 2*w - 245. Let a(p) = -144*p**3 - 5*p**2 - 3*p - 246. Let n(k) = -2*a(k) + 3*v(k). What is the first derivative of n(h) wrt h? -414*h**2 - 4*h Let z(k) = k**2 + 11*k + 2. Let p be z(-11). What is the second derivative of -27*l**2 + 27*l**p - 4*l**3 - 7*l**3 - 9*l wrt l? -66*l Let i(w) be the first derivative of -87*w**7/7 + w**6/3 + 115*w**3/3 - 106. What is the third derivative of i(g) wrt g? -10440*g**3 + 120*g**2 Let p(x) = -33*x**3 + x. Let n be p(-1). Differentiate 13*m**3 - 28 - m + n + m with respect to m. 39*m**2 Let l(z) be the first derivative of -149*z**5/5 - 5*z**2/2 + 11*z + 139. Find the second derivative of l(k) wrt k. -1788*k**2 Let o(r) = 637*r - 15. Let f(a) = 1278*a - 31. Let l(q) = 2*f(q) - 5*o(q). Find the first derivative of l(g) wrt g. -629 Let g(y) = y**4 + y**3 + y**2 - 1. Let b(p) = -88*p**4 - 5*p**3 - 5*p**2 - 9*p + 16. Let m(l) = -b(l) - 5*g(l). Find the second derivative of m(o) wrt o. 996*o**2 Let p(a) = 8*a - 2. Let k = 4 - 3. Let o be p(k). What is the second derivative of -o*s**2 - 3*s + s**5 + 4*s**2 + 2*s**2 wrt s? 20*s**3 Let v(d) = 5*d - 7. Let n(o) = -o + 1. Let m(l) = -6*n(l) - v(l). Let f be m(4). Differentiate -3*r**2 + 6 + f*r**2 + 2*r**2 - 3*r**2 with respect to r. 2*r Let t(i) = -115*i**3 - 6*i**2 + 5*i + 29. Let k(w) = -114*w**3 - 5*w**2 + 4*w + 28. Let f(m) = 6*k(m) - 5*t(m). What is the derivative of f(p) wrt p? -327*p**2 - 1 Let h(c) be the second derivative of -129*c**5/10 - 25*c**4/2 + c**3/3 + 8*c - 16. What is the third derivative of h(n) wrt n? -1548 Differentiate 79*q**2 - 35*q**2 - 25*q**2 - 2*q**3 - 14 - 34*q**2 with respect to q. -6*q**2 - 30*q Let b = 29 - 27. Differentiate -10*r**b - 18*r**2 + 7*r**2 - 26 with respect to r. -42*r Let d be (65/(-26))/(1/(-4)). What is the derivative of -187*c**3 + 161*c**3 - 52 + d wrt c? -78*c**2 Let k(m) be the third derivative of 199*m**9/504 - 97*m**5/15 - 16*m**2 - 3. Find the third derivative of k(g) wrt g. 23880*g**3 Find the third derivative of -8189*b**3 + 8189*b**3 + 94*b**4 - 21*b**2 wrt b. 2256*b Let n be (0 - (-21)/(-9))*-3. Suppose 2*f = 2*d - 2, -f - 2*f + 4*d - n = 0. Find the third derivative of -4*y**f - 81*y**2 + 2*y**3 + 77*y**2 + 8*y**3 wrt y. 36 Let k(z) be the first derivative of -5*z**8/168 + z**5/30 + 4*z**2 - 7. Let a(y) be the second derivative of k(y). Find the third derivative of a(h) wrt h. -600*h**2 Let r(n) = -n**2 - 16*n + 13. Let c be r(-15). Let w = 39 - c. Find the first derivative of 15 + x**4 - w*x**4 + 5*x - 5*x wrt x. -40*x**3 Suppose 0 = j - 3*j - 8. Let t(c) = -2*c - 3. Let i be t(j). What is the second derivative of -i*f**4 - 2*f**4 + 2*f**4 - 4*f wrt f? -60*f**2 Let t = 53 + -75. Let p = -20 - t. Find the second derivative of 4*r**p - r**2 + 8*r - 3*r**2 + 7*r**5 wrt r. 140*r**3 Let r(f) be the first derivative of 12 + 0*f + 27/4*f**4 - 17/3*f**3 + 0*f**2. What is the third derivative of r(o) wrt o? 162 Let k(o) = 5. Let d(v) = 3. Let i(h) = 8*d(h) - 5*k(h). Let l(g) = -2*g**2 + g - 7. Let u(a) = -35*i(a) + 5*l(a). Find the second derivative of u(z) wrt z. -20 What is the first derivative of 232 + 48 + 170 - 248 + 3*h**4 - 68*h wrt h? 12*h**3 - 68 Suppose 0 = 2*h, -4*h + 8*h = -5*c. What is the first derivative of 193*i**2 - 34 - 226*i**2 + 0*i + c*i wrt i? -66*i What is the derivative of 60 - 34*l**2 + 2*l + 41*l**2 + 0*l wrt l? 14*l + 2 Let k(g) = 199*g**4 + 3*g**3 - 403*g - 3. Let p(z) = -600*z**4 - 8*z**3 + 1208*z + 8. Let w(h) = 8*k(h) + 3*p(h). What is the second derivative of w(f) wrt f? -2496*f**2 Let s(y) be the third derivative of -77*y**6/120 + y**5/30 + y**4/6 + 69*y**2. What is the third derivative of s(x) wrt x? -462 Let l(p) = 9*p**2 + 4*p + 4. Let u(k) = -k**2 - k + 1. Let n(s) = s - 5. Let f be n(4). Let c(v) = f*l(v) - 4*u(v). Find the first derivative of c(m) wrt m. -10*m Let g(n) be the first derivative of 3*n**4/4 + 5*n**3/3 - 37*n**2 + 164. Find the second derivative of g(r) wrt r. 18*r + 10 Find the second derivative of -69*r - 108*r**2 + 392 - 393 - 32*r**2 wrt r. -280 Let j(q) be the third derivative of -11*q**9/252 + 2*q**7/105 - 22*q**5/15 - 148*q**2. What is the third derivative of j(v) wrt v? -2640*v**3 + 96*v Suppose -3*f + 33 = -45. Find the second derivative of -f*s - 1 - 26*s + 3*s + 6*s + 31*s**2 wrt s. 62 Let o(b) be the second derivative of -b**9/756 - b**6/72 - b**3/6 - 3*b. Let k(q) be the second derivative of o(q). Find the third derivative of k(x) wrt x. -240*x**2 Let v be 4 - (7 + -8)/((-1)/(-4)). Find the third derivative of x**6 - 12*x**2 - 11*x**6 - v*x**2 wrt x. -1200*x**3 Let p(d) be the first derivative of -25*d**3 - 33*d - 90. What is the derivative of p(r) wrt r? -150*r Let k(u) be the first derivative of -997*u**6/6 + 13*u**2 - 3*u - 709. What is the second derivative of k(d) wrt d? -19940*d**3 Differentiate -22 - 19 + 9 + 6 - 14 + 137*m with respect to m. 137 What is the first derivative of -121 + 221 + 73*l**2 + 162*l**2 wrt l? 470*l Let y(v) = 274*v**4 + 7*v**3 + 497*v. Let z(c) = 183*c**4 + 5*c**3 + 331*c. Let n(m) = 5*y(m) - 7*z(m). Find the second derivative of n(w) wrt w. 1068*w**2 Let n be (-3)/(0 - 2/4). Suppose -i - 26 = -n*i - 3*u, -u - 14 = -4*i. Find the second derivative of w**3 + i*w**3 - 23*w + 22*w wrt w. 30*w Let a(b) = -5*b**4 + 3*b**2 + 8. Let i(z) = -10*z**4 + 5*z**2 + 15. Let y = -20 + 23. Let x(l) = y*i(l) - 5*a(l). Differentiate x(s) with respect to s. -20*s**3 Let z be ((-70)/8)/(14/(-56)). Differentiate -7*s + z*s - 9 - 15 - 5 with respect to s. 28 Let k = -4 - -9. Let h = 16 - k. Find the first derivative of -22*v + 26*v + h - 3 wrt v. 4 Suppose -3*c = -12 + 3. Find the first derivative of -13 + 7 + c + 6 + 22*h wrt h. 22 Let q(f) be the first derivative of 0*f + 8 + 1/2*f**2 - 10/3*f**3. What is the second derivative of q(s) wrt s? -20 Let p(r) be the first derivative of 47/2*r**2 + 0*r + 9 + 28/3*r**3. What is the second derivative of p(z) wrt z? 56 Let a(i) be the first derivative of 0*i**5 + 0*i**4 + 0*i**3 + 1/2*i**2 + 7 - i**6 + 0*i. Find the second derivative of a(w) wrt w. -120*w**3 Let t(d) be the second derivative of -31*d**5/5 + 8*d**4/3 - d**2 - 128*d. What is the third derivative of t(w) wrt w? -744 Let i = 9 - 4. Suppose 0*w - w = -4*b + 354, -3*w - 358 = -4*b. What is the third derivative of 1 - 1 - b*s**3 + 83*s**3 - i*s**2 wrt s? -30 Let x = 494 - 490. Let u(y) be the second derivative of 0*y**3 + 0 + 0*y**2 - 4/15*y**6 + 8*y + 0*y**5 + 1/6*y**x. Find the third derivative of u(i) wrt i. -192*i Find the third derivative of -14
{ "pile_set_name": "DM Mathematics" }