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Let w(y) = 4*y**3 - 3*y**2 - 4*y + 5. Let j be w(3). Suppose 62*z = j*z - 60. Solve -l - 21 = -z*v, 4*l = -2*v + v for v. 4 Let h(c) = c**2 - 23*c - 18. Suppose -j + 5*j = -5*w + 120, -72 = -3*w + 2*j. Let p be h(w). Solve 0*g - 4*g = 4*v, -3*g - p = v for g. -3 Let u = -13577 + 13582. Suppose 0*f - 5*f = -4*m - 83, 2*m = 3*f - 49. Solve n + f = 3*h, -u*h - 2*n + 4*n = -25 for h. 5 Let w(l) = -l**3 + 63*l**2 + 66*l - 131. Let v be w(64). Let u(i) = 17 - 2 + 1 + 4*i. Let y be u(v). Solve -3*q + q + y = -5*a, 13 = a - 5*q for a. -2 Suppose 24*r = 17*r + 637. Let n = r - 86. Solve 3*b - 17 = -n*m, -5*b + 23 = -2*m + 5*m for b. 4 Let a(v) = v + 14. Let c be a(-11). Suppose -c*l - 12 = -0*l, 2*r - 10 = 5*l. Let k be ((-36)/45)/(2/r). Solve -5*w - 15 = -k*s, 0 = -5*s + s + 4*w for s. -5 Suppose -20*p = -15*p. Solve p = -a + 3*d - 5, d - 2 - 1 = 0 for a. 4 Let h be (23/4)/(44/(-704)). Let t = h + 97. Solve 0*j = 5*m - 2*j - 9, -j - t = -3*m for m. 1 Let o be (-33)/((-1386)/105)*12/10. Solve o*q - 15*t - 9 = -14*t, -2 = 2*q + 2*t for q. 2 Suppose -3*t + 69 = 3*o, 3*o - 2*o + 4*t = 2. Solve 3*z = -j + 20, j - 6*j + o = z for z. 5 Let v(p) = p**3 - 7*p**2 + 3*p + 18. Let z be v(6). Let j be z + 2 - 0/19. Solve -3*d = -w - 0*w - 7, -j*w = 2*d - 10 for d. 3 Suppose -30*k - 21 = 45*k - 82*k. Solve -4*q + 0*q - 9 = -3*r, 6 = -k*r - q for r. -1 Let t be (18 + -17)*6/(-2). Let u be 4/t*6/(-4). Solve 0 = -g - 6*v + u*v - 1, 5*g - 20 = 5*v for g. 3 Suppose -2*s = -2*r - 102, 0 = -4*s - r + 31 + 183. Solve -4 = v - 5*z, 5*z + 47 = -v + s for v. 1 Suppose 3*y + 7 = -17. Let m be 34 - (-1 + 0/(4 + y)). Solve 5*r - m = -6*k + k, 0 = 2*r - 8 for k. 3 Let j = -1829 - -1831. Solve 4 = j*u + 2*b, b = 3*u + 6*b for u. 5 Let z = -2834 + 2857. Solve 5*x - k + 18 = 0, -k + 1 = 5*x + z for x. -4 Let h(v) = 2*v**2 - 2*v + 2. Let n = -8 - -10. Let l be h(n). Let z be 8 + 2 + 1 + -9. Solve 3*d = f - l, 3*f + d + z = 7*f for f. 0 Let g(b) = -b**2 - 2*b + 67. Let d be g(7). Suppose -a + 175 = d*a. Solve -5*s = -4*y + a, 3*s - 9 = -3*y + s for y. 5 Suppose 0 = -19*h + 52*h - 26*h - 168. Solve -4*i = 2*i - h, -4 = -5*q + 4*i for q. 4 Suppose -27*m = -316 - 305. Suppose 10 = 11*a - m. Solve -3*l = -0*l + 2*y - 1, 4*l - 1 = -a*y for l. 1 Let m = 28 + -7. Suppose 105 + m = 7*a. Solve 2*q - 6 = -o, 3*q - o - a = 2*o for q. 4 Suppose -67*l + 135*l - 75*l = -28. Solve -4*b - 3*n = 23, -8*n - 28 = l*b - 4*n for b. -2 Let t = 146 + -146. Let l = -6 + 6. Suppose -2*n + 50 = 5*c - l*n, -4*n - 20 = -2*c. Solve t = 6*z - z - c, 4*q + 2*z = 8 for q. 1 Suppose 12*w - 10*w - r = 53, 5*r = 15. Solve -33*b + 3*m = -w*b, 4*b = -4*m + 32 for b. 3 Suppose 9*j - 75 = 14*j. Let s(r) = r**2 + 11*r - 16. Let x be s(j). Suppose -4*m - x = -60. Solve -2*q = -2*c + m, -c - 4 = -7*q + 4*q for q. 3 Suppose 183 = 8*c - 169. Suppose c - 20 = 6*h. Solve 5*s - 2*u = -20, 2*s + u = 3*s + h for s. -4 Suppose 10*q - 9*q - 2*a = -7, -q - 4*a + 29 = 0. Solve -3*b = q*u - 28, -5*b - 5 = 17*u - 19*u for b. 1 Let i = -19 - -27. Suppose 4*s + 5*q = 42, -5*q + 18 + i = 2*s. Let k be (0 + -25)/(-5) + 0. Solve -s = -k*a - r, r - 8 = 5*r for a. 2 Let i(q) = 6*q - 12 + 7*q - 3 + q**2. Let r be i(-15). Let j be 1/(-3)*-3 - r/(-5). Solve -5*u + 4*u = j*n - 17, -2*u - 2 = -4*n for n. 3 Let o = 18 + -137. Let u be -2 + (4/(-10) - o/35). Suppose -9 = -3*h - 0, u = 4*r - 5*h. Solve -3*f - 2 = r*k, -6*k + 3*k - 3*f = 0 for k. -2 Let u = 199 - 193. Suppose -11*q = -17*q + u. Solve x + q = -3, 5*s = 2*x + 3 for s. -1 Suppose -393 = 10*n - 413. Solve -r + 0 = -n*j - 4, 3*r - 4*j - 4 = 0 for r. -4 Suppose 0 = 11*u + 15 - 4. Let v be -3 + 3*(3 + u/3). Solve -2*p + 5*b + 2 = -0*b, 5*p - v = -2*b for p. 1 Let o be 3/8 + (2530/(-176) - -14). Let n(b) = b**3 + 8*b**2 + 7*b + 2. Let r be n(-7). Solve o = -s + 5*s + r*c + 6, -2*c + 4 = -s for s. -2 Suppose 2*l - 4*x + 314 = 4*l, -4*l + 2*x + 628 = 0. Let g = l + -154. Solve 4*o - 2*s = -0*s + 16, -g*o = 2*s - 12 for o. 4 Let q = -9562 - -9582. Solve -6*i + 4*a = 22, q*a = -3*i + 17*a - 6 for i. -3 Let t = -701 + 509. Let d = 201 + t. Solve 2*l + d = 4*b - 9, 0 = -3*b + 3*l + 15 for b. 4 Suppose -4*b + 15 = b. Suppose -6*t + 9 = -b*t. Let r be (t - -4 - 0) + (4 - 7). Solve -5*m = -d - r, 4*d - 1 = 3*m - 0 for d. 1 Suppose -16*s + 15*s + 2*w + 6 = 0, 0 = s + 4*w - 12. Solve 2*o - 24 = s*r, r + 5*o - o - 14 = 0 for r. -2 Suppose -5*d - 17 = 2*p, p - 2*d + 208 - 222 = 0. Suppose 0 = 4*g - 4*c + 4, -g - 9 = 3*g - 5*c. Solve -r - 2 = -0, f - p = g*r for f. -4 Let r(s) = 23*s - 2. Let c be r(1). Suppose 5*f = 34 + 41. Let u(b) = b**3 - 14*b**2 - 13*b - 27. Let t be u(f). Solve -t*z + 4 = l, -3*z + l + c - 7 = 0 for z. 3 Let t(c) = c**3 + 11*c**2 - 13*c - 12. Let s be t(-12). Suppose 34*k - 304 = -4*k. Suppose 2*b = -2*b. Solve s = -2*r - k, -5*a + r + 12 - 3 = b for a. 1 Let o(w) = w**3 + 7*w**2 + 21*w + 38. Let s be o(-4). Solve 0 = -2*p + 4, -s*a - 2*p - 1 = -7 for a. 1 Suppose 4*t - 2*y + 354 = 0, 10*y = 4*t + 5*y + 369. Let o = 88 + t. Solve 2 = 4*x + 3*g - 1, 2*g - o = -2*x for x. 0 Let v = -5070 + 5091. Solve -11 = -4*s - d, -d + v - 14 = 3*s for s. 4 Let f = -93 - -92. Let c(q) = -2*q**2 + q - 10. Let j(p) = -1. Let v(a) = f*c(a) + 5*j(a). Let b be v(0). Solve 0 = -3*y - b*z + 8, y - 5 = -2*y - 2*z for y. 1 Let b be (-11 - 590/(-60))/(10/(-60)). Solve -5*x + 2*w = 5, -b*x + w - 5 = 11 for x. -3 Let m = 13732 + -13609. Solve -m*w - 6 = -4*l - 126*w, 0 = 2*l + 3*w for l. 3 Suppose 147 + 56 = 75*z - 22. Solve z*g + 2*w = 7, 29*w + 6 = 32*w for g. 1 Suppose -4*t - 4*q + 12 = 0, -8 = -5*t - 7*q + 9*q. Let o be 24/1*(-2 + 3). Suppose 8 - o = -4*d. Solve -5*r = -3*g - 25, -t*r + 25 = -d*g + 3*r for g. 0 Let q = 11901 - 11896. Solve -5*u + 5*y = 6*y + 1, q*u - y = 1 for u. 0 Let a be -13 - (-5 + 4)*31. Solve -4*p = -y - a, -y - 5*p + 18 = -0 for y. -2 Suppose -27*k = -22*k - 25. Suppose -5*u = -k*t + 35, 31 = 5*t + 2*u - 5*u. Solve p + 17 = -5*s, s - t*s - 22 = 5*p for p. -2 Suppose 60 = -6*b + 12*b. Suppose b*k - 130 = 5*k. Solve -k = -2*p + 2*o - 8, 0 = 3*p + 3*o - 3 for p. 5 Suppose 0 = -3*t - 6, -4*t - 2 = -0*l + l. Let c be (1 - -17)/l + 0. Solve 0 = -5*m + 5*d, -4*m + d + 6 = c*d for m. 1 Let p be 4*(4 + (3 - 6)). Solve p*y = 2*n - 20, y - 5 = 2*n - 10 for n. 0 Let q = -3405 - -3410. Solve -4*k + 33 = -5*t, q*k - 10*k = -5*t - 35 for k. 2 Suppose -565 - 792 - 1379 = -72*b. Solve 40 - b = x + 3*w, 3*w = -3 for x. 5 Let q(r) = -r**3 - 2*r**2 + 17*r + 10. Let s be q(-5). Let m be (-45)/20*40/(-3). Suppose -j - m = -7*j. Solve -j*u + h + 0*h - 6 = s, 4 = -4*u + h for u. -2 Suppose 0*c + 4 = -c, 2*z - 3*c = 40. Solve -13*g + z*g - 2 = 0, 5*n - 2*g + 29 = 0 for n. -5 Let u = -857 + 886. Let v(j) = 2*j**2. Let f be v(-1). Suppose 2*o + 6 = x - o, o + f = 0. Solve -4*c + x*c + m = -19, -5*c + u = 4*m for c. 5 Let s = -12392 + 12394. Solve -6*f - 2*n - 3 = -5*f, 7*f - s*n - 27 = 0 for f. 3 Let m(a) = -39*a + 8. Let c be m(-7). Let p = -277 + c. Let r be (6 - 1) + 0 - 1. Solve k = -5*f - 16, -4*f = -4*k + r + p for k. -1 Suppose h = 6*h - 20. Suppose v = 4*x - 2 + 1, 2*v = -h*x + 10. Let z(k) = -k**3 + 4*k**2 + k + 2. Let y be z(v). Solve -c = 4*f + y, 2*f = 2*c - 5*c - 2 for f. -4 Suppose 10*a - 9*a + 4*z - 23 = 0, 10 = -5*a + 5*z. Solve -2*i = -3*j - 2 - 9, 2*i = -5*j + a for i. 4 Let j = -152 + 144. Let w be (-1435)/(-140) - (-2)/j. Solve 4*h - w = -2*a, -h - 3 = -4*a + 17 for h. 0 Let s be (-3 + (-4)/(-1))*-1. Let q be (-6)/1 - 4*s. Let j be ((-8)/(-10))/((q/(-5))/1). Solve -3*l - 5*b = -32, -4*b = -l - 14 + j for l. 4 Let l(d) = d + 11. Let n be l(-9). Let u be (-15)/((-315)/(-14))*(-513)/38. Solve 4*g = 4*x - 4, n*g = -x + g - u for x. -4 Let m be ((-18)/(-8) - 2)/(24/264*583/212). Suppose 3*p - 6 - 12 = 0. Suppose 3*w + p = 6*w. Solve -w*y + 16 = 5*v + m, 2*y = 4*v - 30 for v. 5 Let y(i) = 16*i - 267. Let a be y(17). Suppose 99 = x + 2*x. Suppose 0 = 3*h - x - 63. Solve 4*g - h = -a*s, 2*g + 2*s + s = 18 for g. 3 Let n = -1414 + 1415. Solve 4*j + k = -n, k - 169 = j - 175 for j. 1 Let t be (3/15)/(3/375). Solve -v + 5*w + t = 0, 8*w - 6*w = -5*v + 17 for v. 5 Let f(d) = 8*d - 23*d + 638 + 8*d - 649. Let q = -1 + -1. Let v be f(q). Solve c + 0*h = -5*h, -2*h = -v*c - 17 for c. -5 Suppose 4*y = 2
{ "pile_set_name": "DM Mathematics" }
se -3*x - 2 = -4*x. Let c be 39/x + (-4)/(-8). What is the units digit of 19/4 + (-15)/c? 4 Suppose d - 2*d + 3*f = 17, -4*d - 4*f - 4 = 0. Let q = d - -9. What is the tens digit of 2 + (2 - q - -11)? 1 Suppose 3*g - 2*b = 6*g - 75, -5*g - 2*b = -121. What is the tens digit of g? 2 Let i be (0 - 3)/(9/(-174)). Let s = i + -36. What is the tens digit of s? 2 Let l(y) = -y**3 + 7*y**2 + 2*y - 5. Let i be l(7). What is the tens digit of 3/i + (-505)/(-15)? 3 Let a(o) = -o**3 - 8*o**2 - 4*o - 17. What is the units digit of a(-8)? 5 Suppose -2*y = 2*n - 8 - 70, n + 5*y - 23 = 0. What is the units digit of n? 3 Let m(h) = 3*h**2 - h - 2. Let t be m(-2). Suppose f - t = -5*g + 6, 210 = 5*f + g. What is the units digit of f? 3 Let t(q) = -q**2 + q + 13. Let m be 0/(1 + 0 - 3). What is the tens digit of t(m)? 1 Let w be 6/15 + 296/10. Suppose -w = -0*a - 2*a. What is the tens digit of a? 1 Let u = 507 + -285. What is the tens digit of u? 2 Suppose 2*o = -3*z + 7 + 24, o = -z + 17. What is the tens digit of o? 2 Let k(r) be the second derivative of r**3/6 - r**2/2 + r. What is the units digit of k(4)? 3 Let v = 214 + -112. Suppose -2*o - v = -2*d - 0*o, 5*d + 3*o = 215. What is the units digit of d? 6 Suppose -4*m = m - 15, -5*f - 3*m - 76 = 0. Let a = f - -26. What is the units digit of a? 9 Let s(f) = -f**3 + f**2 - 102. Let j be s(0). Let c be 4/(-10) + j/(-30). Suppose -1 = -i + c. What is the units digit of i? 4 Let d(w) = w**2 + 13*w + 3. What is the tens digit of d(-14)? 1 Let o be ((-8)/12)/((-2)/27). Let d(v) = -v**2 + 9*v + 4. Let k be d(o). Suppose -3*c + k = -5. What is the units digit of c? 3 Suppose 5*r = -5 + 35. Suppose -r = -v + 2*f, 4*f = 5*v + 18 - 72. What is the units digit of v? 4 Let z = 3 + 0. Suppose 2*f + 8 = z*f. What is the units digit of f? 8 Suppose 0 = -2*k - 14 + 60. Suppose -3 = 5*x - k. Suppose 18 = x*q - 10. What is the units digit of q? 7 Let i = 94 + 66. Suppose 56 = 3*o + 5*v - 0*v, -i = -5*o + 5*v. What is the tens digit of o? 2 Let u(w) = w**2 + 6*w + 5. Suppose -9 - 9 = 3*n. Let m be u(n). Suppose m*v + i = -i + 13, -22 = -2*v - 5*i. What is the units digit of v? 1 Suppose 5*w = -2*d + 79 + 61, 109 = 4*w + d. Suppose -6*g + g = 75. Let x = w + g. What is the tens digit of x? 1 Let r be (-2)/4 - (-116)/8. Suppose -r = -z + 11. What is the units digit of z? 5 Suppose -2*y - 4*y + 138 = 0. Let m(x) = -3*x - 2. Let o be m(4). Let c = o + y. What is the units digit of c? 9 Let z(n) = 2*n**2 + 23*n - 25. Let b = 1 + -4. Let v(i) = i**2 + 12*i - 13. Let d(u) = b*z(u) + 5*v(u). What is the tens digit of d(-9)? 1 Let z = 0 - 0. Suppose 4*x + 9 = 7*x. Suppose f = -z*f + x. What is the units digit of f? 3 Let x = 4 + -2. Suppose 0 = 2*w - 5*b - 17, 3 = w - x*b - 5. What is the units digit of w? 6 Let a(t) = 2*t - 1. Let l be a(2). Suppose -54 = -l*q - 3*c, -4*q - 4*c = -2*c - 64. What is the tens digit of q? 1 Suppose 3*h + c = 52, 0*h + h - c = 20. Suppose h = 3*u - 6. What is the units digit of u? 8 Let v(n) = n**3 + 10*n**2 - 5*n - 19. What is the units digit of v(-8)? 9 Let w(g) = g + 11. Let h be w(0). Let n = -7 + h. What is the units digit of n? 4 Let k be (3 + 46/(-14))*-7. Suppose -h = k*h - 84. What is the tens digit of h? 2 Let k(m) = m**3 - 9*m**2 - 7. Let u be k(9). Let x = u + 11. What is the units digit of x? 4 Suppose -3*q + 29 + 67 = 0. What is the units digit of q? 2 Suppose -5*c + 11 = -9. Let t = c - -5. What is the units digit of t? 9 Let v = 6 + -6. Suppose v*b + 2*b = 46. What is the units digit of b? 3 Let g(f) = f + 3. Let b(k) = 2*k. Let w be b(4). Let z(m) = -m**2 + 8*m + 7. Let c be z(w). What is the tens digit of g(c)? 1 Let m be -1*3*(7 + -6). Let v be ((-10)/(-8))/(m/(-24)). Let f = v + -4. What is the units digit of f? 6 Suppose 19*a - 2079 = 6148. What is the tens digit of a? 3 Let u be 26/14 + (-6)/(-42). Suppose -2*t + 8 = u, 9 = -2*g + 5*t. What is the units digit of g? 3 Let o = -7 + 10. Suppose -2*x - 4 = -c, 4*c - 20 = o*x - 4. What is the units digit of c? 4 Suppose y - 3 = -2*x - 3*x, -4*y + 56 = -2*x. What is the tens digit of y? 1 Suppose 3*x - o - 11 = 158, -5*x + 315 = 5*o. What is the units digit of x? 8 Suppose -4*a + 2*b = -102, -a + 76 = 2*a - b. What is the tens digit of a? 2 Let z be 2*(-1)/6*-87. Let n be z/(-4) + 1/4. Let i(s) = -s**3 - 8*s**2 - 9*s - 6. What is the units digit of i(n)? 8 Suppose 0 = 2*y + y - 18. Let s = 14 - y. What is the tens digit of (-2)/s - (-122)/8? 1 Let v be (-30)/(-12)*(-12)/10. Let x = 36 - v. What is the tens digit of x? 3 Suppose -1 = -v + b - 0, 4*v - 2*b = -6. What is the tens digit of ((-5)/v)/(8/192)? 3 Suppose 0 = 4*d, -4*d + 64 + 108 = 4*y. What is the units digit of y? 3 Let f be 3/((-6)/(-8)) - 1. Suppose 4*m + f = 11. What is the units digit of m? 2 Let m(z) be the second derivative of -5*z**3/3 - 3*z**2/2 + 6*z. What is the units digit of m(-5)? 7 Let f(n) = n - 5 + 0 + 4. What is the units digit of f(2)? 1 Let z(w) = -2*w + 5*w - w + 6 - 3*w. Let m be z(6). What is the units digit of (-6)/(-1*(2 + m))? 3 Let y(m) be the first derivative of -1 + 4*m**2 + 0*m - 1/3*m**3. What is the units digit of y(6)? 2 Suppose 7*p = 2*p - 215. Let t = 91 + p. Let o = -34 + t. What is the units digit of o? 4 Suppose 4*z - 160 = -c, 6*z + 2*c - 156 = 2*z. What is the units digit of z? 1 Suppose 2*v - 6 = -0. Suppose -2*c + 3*c - 2 = 0. Suppose -v = -c*a + 3. What is the units digit of a? 3 Let x = -1 - -2. Suppose x = u + 5. Let b = u - -7. What is the units digit of b? 3 Let y = 5 - 5. Suppose 3*c = -y*c - 27. Let i = 8 - c. What is the tens digit of i? 1 Suppose -12 = -4*q + 3*h, q - 3*h - 15 = -4*q. Suppose -x - 30 = 5*m - 94, -4*x - 20 = -q*m. What is the units digit of m? 2 Let q be ((-2)/1)/(4/6). Let p = q - -4. Let k = p - -2. What is the units digit of k? 3 Suppose 2*c + j - 49 - 49 = 0, 2*j = -3*c + 145. What is the units digit of c? 1 Let c(j) = 5*j**2 - j - 2. Let m(t) = 3*t**2 - 2*t + 1. Let l be m(1). What is the tens digit of c(l)? 1 Let m = 5 + -3. Suppose -4*w = -k + 4, 5 + 3 = -m*k. What is the units digit of 4*((-7)/w - -1)? 8 What is the units digit of (0 - -99) + (15/3 - 7)? 7 Suppose -5*n - 15 - 75 = 0. Let v be 4/n - 254/(-9). Suppose v = 5*h - 22. What is the units digit of h? 0 Suppose 0 = b - 5*b - 36. Let j(o) = -o**2 - 10*o - 1. What is the units digit of j(b)? 8 Let v = 211 + -127. What is the tens digit of v? 8 Let y = -167 - -238. What is the units digit of y? 1 Suppose -3*g + 4*z = -7 - 1, -z + 4 = 0. Suppose 0 = 3*n + 2 - g. Suppose -n*f = f - 15. What is the units digit of f? 5 Suppose 16 - 6 = 2*k. Suppose 2*h - 38 = -k*u + 20, -5*h - 10 = -3*u. What is the tens digit of u? 1 Suppose 0 = -2*w + 4, w = -g + 5*w - 4. Let z be ((-56)/6)/(g/(-6)). Let l = 23 - z. What is the units digit of l? 9 Let s = 102 + -48. What is the tens digit of s? 5 Suppose k + k - 8 = 0. Suppose 17 = k*q - 3*q + z, 2*q = 4*z + 16. What is the tens digit of q? 1 Suppose 6*r - 14 = r + 2*x, -5*r + 4*x = -18. Suppose -4*z + 2*z - r = 0. Let b = z - -2. What is the units digit of b? 1 Suppose x - 2*r - 26 = 2*r, 9 = 3*r. What is the units digit of x? 8 Suppose -13 = -c + 62. Suppose 4*g + 2*m - 90 = 0, -5*m + 10 = 3*g - c. What is the units digit of g? 0 Suppose -7 = -v + 5*y, 4*v - 2*y - 10 = -0*y. Suppose d - 72 = -2*d. Suppose -v*b = -0*b - d. What is the units digit of b? 2 Suppose 13 = j - 5*b, -87 = -3*j - 2*b + b. Let k = -48 - -32. Let n = k + j. What is the tens digit of n? 1 Let y(g) be the first derivative of -g**2/2 + 2*g - 1. Suppose -w - 5*c - 23 = 0, -w + 25 = -4*w - 4*c. What is the units digit of y(w)? 5 What is the units digit of (-982)/(-10) - (-8)/80*-2? 8 Suppose -9*t + 17 = -8*t. What is the units digit of t? 7 Let h(j) = 17*j - 8. Let p be h(4). Suppose 5*y = 65 + p. What is the units digit of y? 5 Let b(a) = 2*a**2 + 14*a + 5. What is the tens digit of b(-11)? 9 Let i = 10 + -7. Let f = -2 + i. What is the units digit of f? 1 Let a(g) = 2*g**2 - 4*g - 3*g**2 + 2*g**2 + 6 + g. What is the units digit of a(5)? 6 Let q = 59 + -45. What is the units digit of q? 4 Let o be 0 + 3 - (-4 + 1). Suppose -29 = -5*j + o*p - 2*p, j + 3*p - 21 = 0. What is the units digit of j? 9 Let d(m) be the third derivative of m**6/120 - 7*
{ "pile_set_name": "DM Mathematics" }
+ 4*l = 79. What are the prime factors of y? 3, 11 Let w = 12 - 7. Let f(t) = 14*t - 1. Let c be f(3). Suppose 5*m + a - 45 = -4*a, -4*m + c = w*a. List the prime factors of m. 2 Let p(c) = 30*c**2 - 5*c + 9. List the prime factors of p(2). 7, 17 Suppose 4*l - 42 + 18 = 0. Let d(r) = -2*r**2 + 4*r. Let z be d(l). What are the prime factors of (-2 - z/9)*3? 2, 5 Suppose 2*m = 81 + 41. What are the prime factors of m? 61 Suppose -3 = -3*h + 3. Suppose -232 = -0*v - h*v. What are the prime factors of (-4)/(-10) - v/(-10)? 2, 3 Let i(l) = 6*l**2 - 1 - 23*l + 23*l. List the prime factors of i(-2). 23 Suppose 2*a + 16 - 54 = 0. What are the prime factors of a? 19 Let n = 133 + -265. Let v be (3/(-2))/(9/n). Let y = -13 + v. What are the prime factors of y? 3 Let l(h) = -43*h - 5. What are the prime factors of l(-1)? 2, 19 Let m(t) = t**2 + 7*t - 5. Let k be m(-8). Suppose -k*h + 42 = 3*p, -3*p = -6*p. What are the prime factors of h? 2, 7 Suppose -8*s + 11*s - 6 = 0. Suppose -38 = -2*g + 5*a, -s*g + g = -3*a - 18. What are the prime factors of g? 2, 3 Let z(k) = -2*k - 1. Let l(i) = 4*i - 1. Let g(j) = 1. Let t(p) = -4*g(p) - l(p). Let c(w) = -4*t(w) + 10*z(w). What are the prime factors of c(-2)? 2, 5 Suppose 4*o - k - 156 = 0, 33 = 3*o + 2*k - 73. What are the prime factors of o? 2, 19 Let n(j) = 0*j + 6*j - 1 - 3*j. Let y be (-10)/(-4)*(-4)/(-2). What are the prime factors of n(y)? 2, 7 Let o = 1 + 3. Let i = 8 - 4. Suppose -5*w - 94 + 34 = -o*n, -4*w = i*n - 24. List the prime factors of n. 2, 5 Let u(o) = o**3 + 9*o**2 + 7*o - 6. Let f be u(-8). Suppose -6 = f*k - 0*k. List the prime factors of 13 + -3 + k + 3. 2, 5 Let v(u) = u**2 + 6*u + 5. Let j be v(-4). What are the prime factors of (0 + 18)*j/(-3)? 2, 3 Suppose 5*p + 4*m = 103, -m = 5*p - 3*m - 91. What are the prime factors of p? 19 Let v be (-12)/(-3)*(-1)/2. Let z = 7 - 6. Let k = z - v. List the prime factors of k. 3 Let s(c) = -c**3 + 4*c**2 + c + 1. Let x be s(4). Let t = 10 - x. Suppose 0 = 3*b - t*k - 4, b - 8*k = -4*k - 1. List the prime factors of b. 3 Let a(f) = 4*f**2 + f + 1. Let d be a(-1). Suppose -d*r = 4 - 16. Let o = r + 0. List the prime factors of o. 3 Let y = -91 - -160. List the prime factors of y. 3, 23 Let i(w) = -19*w**2. Let o be i(1). Let h be (o - 3)/((-2)/2). Let t = h - 13. What are the prime factors of t? 3 List the prime factors of (4/(-6))/((-1)/45). 2, 3, 5 Suppose -2*d + 4*j + 410 = 0, 4*d + j = 2*j + 848. What are the prime factors of d? 3, 71 Suppose -y + 12*y - 264 = 0. What are the prime factors of y? 2, 3 Suppose 0 = -3*f + 3*h + 19 - 4, 5*h + 18 = -2*f. Let u(l) = 57*l**3 + l**2 - 1. What are the prime factors of u(f)? 3, 19 Let q = -6 + 8. Suppose 3*b - 138 = -2*b - 2*n, -3*b + 82 = 2*n. Suppose -b = -3*p + q. List the prime factors of p. 2, 5 Suppose 4*c - m - 9 = 0, -2*c + 13 = 2*c - 5*m. List the prime factors of c. 2 Let j = 31 + -3. What are the prime factors of j? 2, 7 Let y(v) = v**3 - 3*v**2 + 3*v. Suppose 4*q + 58 = 5*i, -3*q + 7 = -3*i + 40. Suppose -3*d = 5 - i. What are the prime factors of y(d)? 3 Let w = -1 + 1. What are the prime factors of 2 + w/(-2) + 1? 3 Suppose -153 = 7*u - 440. What are the prime factors of u? 41 Suppose 9 = 4*y - 3. Let d = 3 - y. Suppose -2*n = -d*n - 24. What are the prime factors of n? 2, 3 Suppose 6*d - 8 = 4*d. Suppose 0 = w + 3*j - 23, 0 = -2*w + d*j + 8 - 2. Let h(q) = -q**3 + 11*q**2 + 2*q - 13. What are the prime factors of h(w)? 3 Suppose 0 = 2*g + 2*g + 4*a - 404, -3*g = -5*a - 335. What are the prime factors of g? 3, 5, 7 Let k = -72 + 106. Suppose s = 3*s - k. List the prime factors of s. 17 Let j = 8 - -19. List the prime factors of j. 3 Let x = 79 - 5. List the prime factors of x. 2, 37 Suppose 324 = -5*u - z, 2*u - 7*z + 134 = -3*z. List the prime factors of (-10)/u - 412/(-26). 2 Let f = 38 + 77. List the prime factors of f. 5, 23 Let s(y) = -y + 2. Let p be s(2). Suppose -4*x + m = -2*m - 8, m - 4 = p. Suppose -x = -k + 11. What are the prime factors of k? 2 Let o(i) = 7*i + 1 + 3*i + 2 + 2 + i**2. What are the prime factors of o(-10)? 5 Let l be 50 - 3/((-6)/(-4)). Let j = l - 30. What are the prime factors of j? 2, 3 Suppose -4*t - 27 = -7. Let k = t - 1. List the prime factors of (-6)/9 - 52/k. 2 Let o(p) = -p + 16. Let y be o(9). Let u(d) be the third derivative of d**4/8 - 2*d**3/3 + 2*d**2. What are the prime factors of u(y)? 17 Suppose 210 + 420 = 3*w. What are the prime factors of w? 2, 3, 5, 7 Suppose -3*j + 90 = -75. Suppose -6*k = -k + 4*h + j, 3*k = 2*h - 55. Let b = -9 - k. What are the prime factors of b? 2, 3 Suppose 3*o - 5*d - 36 = 0, 4*d = 4*o - 16 - 40. What are the prime factors of o? 17 Suppose 5*j = 6*j - 46. What are the prime factors of j? 2, 23 Let k(p) = 6*p**2 + 15*p + 4. What are the prime factors of k(-6)? 2, 5, 13 Let t = -59 - -180. List the prime factors of t. 11 What are the prime factors of 22 - ((-9)/(-7) - 24/84)? 3, 7 Suppose -2*t + 15 = 3*t. Suppose -48 = -t*q - 0*q. List the prime factors of q. 2 Suppose 2*u = u + 4. Let p be (-2)/(-7) - (-2)/(-7). Suppose -d - u + 15 = p. What are the prime factors of d? 11 Suppose -i + 4 + 7 = 0. List the prime factors of i. 11 Let l(y) = 13*y**2 - 3*y + 2. Let f be l(2). Suppose -f = -m - 2*m. What are the prime factors of m? 2 Suppose 0 = 5*f + 4*n - 9 + 1, -4*n + 8 = -2*f. Suppose 216 = -0*c - 3*c + q, f = 4*q. List the prime factors of ((-3)/2)/(27/c). 2 Suppose -a = 5*a - 528. What are the prime factors of a? 2, 11 What are the prime factors of (1 - (25 - 4))*(-46)/5? 2, 23 Let z = -175 - -248. List the prime factors of z. 73 Suppose 4*f = z - 2*z + 73, 5*f + 5*z = 80. Suppose k - f = 6. List the prime factors of k. 5 Suppose z = 4*q - 210, 3*q + 4*z - 173 = -6. Let n = q - 7. What are the prime factors of n? 2, 23 Suppose 0 = -y + 8*y - 336. What are the prime factors of y? 2, 3 Let p = 4 + -4. Suppose 5*g = -p*g + 40. Let c = g + -4. What are the prime factors of c? 2 Let f(c) = c + 9. Let d be f(-7). Suppose t + 17 = -5*u, t - d*t + u + 1 = 0. Let w = t - -5. What are the prime factors of w? 3 Let f = 628 - 310. What are the prime factors of f? 2, 3, 53 Suppose 0 = 4*r + r + 430. Let f = 145 + r. What are the prime factors of f? 59 Let n = 48 + -21. List the prime factors of n. 3 Suppose f = -3*m - 16, f - 14 = m - 3*f. What are the prime factors of 2/(-6) - 50/m? 2 Suppose 0 = 20*n - 12*n - 256. What are the prime factors of n? 2 Let d = -6 - -8. What are the prime factors of (5 - d) + 7 + -3? 7 Suppose 4*r - 10 = 3*r. Suppose -r + 0 = -5*v. Suppose 3*i - 10 = -2*k, v*k + 0 = -2. What are the prime factors of i? 2 Suppose -4*c = 3*g - 124, 4*c - 5*g - 105 - 19 = 0. Suppose -4*m + 5 = -c. Let a(p) = -p**3 + 8*p**2 + 11*p + 1. What are the prime factors of a(m)? 19 Suppose 829 - 209 = 5*u. Let i = -89 + u. What are the prime factors of i? 5, 7 Let o(a) = -2*a - 1. Let q(n) = -n**2 - 6*n - 2. Let m be q(-6). Let j be o(m). List the prime factors of 3/2*22/j. 11 Let v(m) = -m**3 - m - 93. Let n be v(0). Let g = -60 - n. What are the prime factors of g? 3, 11 Let x(u) = -2*u + 5. Let c be x(4). Let y(i) = i**3 + 2*i**2 - 5*i - 3. List the prime factors of y(c). 3 Let v(s) = -s + 2. Let b be v(6). Suppose 5*h - 39 - 1 = 0. Let g = h + b. What are the prime factors of g? 2 Suppose -5*x = -3*r + 150, -160 = 5*x - 5*r + 4*r. Let o = 60 + x. What are the prime factors of o? 3 Suppose 2*p - 12 = 2*c - 2*p, 0 = -5*c + 3*p - 65. Let q = c + 28. What are the prime factors of q? 2, 3 Let p = 4 - 0. Suppose -p = 3*z - 55. List the prime factors of z. 17 Suppose j - 183 = -3*l + 314, 4*j - 8 = 0. List the prime factors of l. 3, 5, 11 Let j(m) = -5*m**2 - 7 - m**3 - 5*m**2 - 4*m - 6*m. Let u be j(-9). Suppose -3*y + u*y + 10 = 0. What are the prime factors of y? 2, 5 Suppose -344 = -2*d + 4*j + 360, -2*j = 10. Suppose 3*i + r - d = 0, 4*i - 457 = -r - 0*r. Suppose -6*l + l = -i. What are the prime factors of l? 23 Let c be 644/(-20) + 1/5. What are the prime factors of 2/3 - c/6? 2, 3 Let y(r) = r**3 - 8*r**2 + 2*r - 10. What are the prime factors of y(8)? 2, 3 What are the prime factors of 18/(-12)*2 - -360? 3, 7, 17 List the prime factors of (302/2)/((-5)/15*-3). 151 Suppose -2*i + 9 + 7 = 0. Let c = 2 + i. What are the
{ "pile_set_name": "DM Mathematics" }
290 Calculate the smallest common multiple of 134993005 and 3689. 4184783155 Calculate the common denominator of -9/2376745 and -1/890. 4753490 Find the common denominator of -27/342249830 and 22/239574881. 2395748810 Find the common denominator of 167/1122 and -97/509190. 8656230 Calculate the smallest common multiple of 5083676 and 2124. 45753084 What is the smallest common multiple of 28090608 and 5192? 308996688 What is the common denominator of 75/11866 and 51/33403? 396359998 What is the common denominator of -55/241129 and -25/34314? 62211282 What is the least common multiple of 58965135 and 56670? 117930270 Calculate the least common multiple of 2918091 and 89134416. 980478576 Find the common denominator of 97/22560 and 181/328320. 15431040 Calculate the common denominator of 23/72520 and 3/28. 72520 What is the common denominator of 86/46531035 and -11/27? 139593105 What is the smallest common multiple of 4207 and 8456070? 8456070 Calculate the smallest common multiple of 11 and 7810080. 85910880 What is the least common multiple of 209728386 and 49935330? 1048641930 Calculate the lowest common multiple of 6216 and 1466199. 11729592 Calculate the smallest common multiple of 66428 and 14481304. 14481304 Calculate the common denominator of 139/60 and 91/5723712. 28618560 Find the common denominator of 37/3410883 and -83/1515948. 13643532 What is the common denominator of 77/1098201 and 19/9? 3294603 What is the least common multiple of 4859008 and 4164864? 29154048 What is the common denominator of 27/1337378 and -9/28? 2674756 Find the common denominator of 45/11558078 and 49/32. 184929248 Calculate the smallest common multiple of 890656 and 572. 9797216 What is the lowest common multiple of 1510 and 14156099? 141560990 Calculate the smallest common multiple of 411705 and 12927537. 64637685 Find the common denominator of 109/689556 and 61/246270. 3447780 Find the common denominator of -67/36941211 and 35/60789. 849647853 What is the common denominator of -20/9290597 and 45/44551? 120777761 Calculate the common denominator of 49/1004270 and 35/16. 8034160 What is the smallest common multiple of 4096 and 2735840? 350187520 Calculate the common denominator of 49/46 and 56/18598789. 37197578 Find the common denominator of 97/7167986 and -31/72703858. 508927006 Calculate the smallest common multiple of 88677 and 1566627. 4699881 Find the common denominator of 103/117970 and -17/168. 9909480 What is the common denominator of -53/126720 and -83/141856? 51068160 What is the common denominator of -95/6504 and 101/574520? 1723560 Calculate the common denominator of -31/191118 and 193/37830. 1204998990 What is the lowest common multiple of 2497648 and 37971? 22478832 Find the common denominator of -32/1058607 and 29/1058607. 1058607 What is the common denominator of 119/218712 and -25/5522478? 22089912 Calculate the common denominator of 2/144727569 and 37/33. 1592003259 What is the least common multiple of 129575088 and 136? 129575088 What is the lowest common multiple of 2250 and 305710? 68784750 What is the common denominator of -49/386368 and 97/5052? 487982784 Calculate the smallest common multiple of 3621288 and 150887. 3621288 Calculate the lowest common multiple of 1755732 and 17557320. 17557320 What is the lowest common multiple of 258780 and 646950? 1293900 What is the least common multiple of 14476320 and 330? 159239520 Calculate the least common multiple of 428530 and 3964. 849346460 Calculate the lowest common multiple of 2336 and 90624. 6615552 Calculate the common denominator of -149/135744 and -13/6787200. 6787200 Find the common denominator of -45/8626856 and 9/12130. 43134280 Find the common denominator of 115/49134 and -2/2759693. 16558158 What is the smallest common multiple of 18531428 and 497488? 74125712 Calculate the lowest common multiple of 36344 and 252. 327096 What is the common denominator of -53/42305408 and -11/315712? 42305408 What is the common denominator of 89/11030120 and 63/55150600? 55150600 Find the common denominator of -44/4332285 and -89/50670. 8664570 Calculate the common denominator of -115/17119116 and 151/108. 51357348 Calculate the least common multiple of 95382 and 2289168. 2289168 Calculate the least common multiple of 104 and 57240300. 114480600 Find the common denominator of -26/3799609 and 61/2763352. 30396872 What is the smallest common multiple of 11139956 and 127233? 100259604 What is the common denominator of 37/1430 and -173/32984160? 428794080 What is the smallest common multiple of 1071620 and 2036078? 20360780 What is the lowest common multiple of 9031595 and 16256871? 81284355 Calculate the lowest common multiple of 2678640 and 535728. 2678640 What is the common denominator of 25/879658 and 9/1223872? 28149056 Calculate the smallest common multiple of 19675 and 11851. 233168425 What is the common denominator of 137/1163750 and -23/4422250? 22111250 Calculate the least common multiple of 2599611 and 123791. 2599611 Calculate the smallest common multiple of 627 and 5929938. 65229318 Calculate the common denominator of 71/2768 and 75/7756. 5367152 Find the common denominator of 13/1297967 and -85/22. 2595934 Calculate the least common multiple of 5792 and 8688. 17376 What is the lowest common multiple of 11585 and 5780915? 5780915 Find the common denominator of 89/380 and -51/5910970. 224616860 Find the common denominator of -13/5120 and -19/144128. 2882560 Find the common denominator of 25/101646 and -101/7182984. 21548952 What is the lowest common multiple of 4223075 and 310? 261830650 Find the common denominator of -57/18995680 and -91/6024. 56987040 Find the common denominator of -27/11027930 and -91/6616758. 33083790 What is the lowest common multiple of 3999042 and 3? 3999042 Find the common denominator of -61/2583 and -69/4760. 1756440 What is the least common multiple of 294 and 75896? 11156712 What is the lowest common multiple of 506760 and 54265550? 651186600 Calculate the common denominator of 47/90090 and -157/905850. 82432350 What is the lowest common multiple of 728 and 183832064? 1286824448 What is the smallest common multiple of 3157752 and 116? 3157752 Find the common denominator of -115/763074 and 137/2808. 3052296 Find the common denominator of -25/234098 and -133/2997852. 200856084 What is the common denominator of 61/1526635 and 43/8159? 303800365 What is the common denominator of 13/16258816 and 113/12384? 146329344 Calculate the common denominator of -4/173349 and -19/2783. 43857297 What is the lowest common multiple of 392 and 1189920? 58306080 What is the common denominator of 111/790 and 67/5003010? 395237790 Find the common denominator of -13/36468264 and 16/105. 182341320 What is the common denominator of -89/884136 and -69/147356? 884136 What is the least common multiple of 1158 and 7450765? 44704590 Calculate the smallest common multiple of 34170660 and 324. 34170660 Find the common denominator of -103/86880248 and -55/1048. 86880248 What is the common denominator of -67/155578 and 70/174303? 253436562 What is the common denominator of -34/9326003 and -23/5? 46630015 What is the common denominator of -127/9075120 and 53/2722536? 27225360 What is the smallest common multiple of 258060 and 11581845? 1065529740 What is the common denominator of 11/19836342 and -28/279? 19836342 Calculate the smallest common multiple of 5952940 and 127260. 53576460 Calculate the common denominator of -69/1738600 and -83/5600. 48680800 What is the smallest common multiple of 65400 and 10275? 8959800 Calculate the smallest common multiple of 8288 and 176554084. 1412432672 Find the common denominator of -83/11877976 and -11/20. 59389880 Find the common denominator of -34/30655 and -26/63305. 388122955 Calculate the lowest common multiple of 1925232 and 192. 7700928 What is the lowest common multiple of 3304260 and 91417860? 274253580 Calculate the least common multiple of 922 and 4727358. 2179312038 Find the common denominator of -19/577607 and 29/12410745. 459197565 Find the common denominator of -73/12740560 and 81/455020. 12740560 Calculate the least common multiple of 30 and 121866036. 609330180 Calculate the lowest common multiple of 817 and 45931697. 872702243 What is the
{ "pile_set_name": "DM Mathematics" }
- 3)/5 Factor -4*c**3 + 28*c**2 + 4*c - 28. -4*(c - 7)*(c - 1)*(c + 1) Let 4*k**4/5 + 12*k**3/5 - 16*k/5 = 0. Calculate k. -2, 0, 1 Factor -2*y**3/11 - 146*y**2/11 + 298*y/11 - 150/11. -2*(y - 1)**2*(y + 75)/11 Factor -g**2/4 - 34*g + 69. -(g - 2)*(g + 138)/4 Factor a**5 - 6*a**4 + 9*a**3 + 4*a**2 - 12*a. a*(a - 3)*(a - 2)**2*(a + 1) Suppose 3*c**4/5 - 8*c**3 + 77*c**2/5 + 44*c + 20 = 0. Calculate c. -1, -2/3, 5, 10 Factor 4*j**3 + 320*j**2 + 6992*j + 23104. 4*(j + 4)*(j + 38)**2 Suppose j**2/2 + 33*j/2 + 31 = 0. Calculate j. -31, -2 Factor 2*w**5 + 6*w**4 + 4*w**3. 2*w**3*(w + 1)*(w + 2) Factor -v**3/2 + 3*v**2 - 3*v/2 - 5. -(v - 5)*(v - 2)*(v + 1)/2 Factor -720*l**2 - 9480*l - 31205. -5*(12*l + 79)**2 Factor -b**3/8 + 5*b**2/2 - 25*b/2. -b*(b - 10)**2/8 Let 2*h**3/5 - 26*h**2 + 104*h/5 + 1536/5 = 0. Calculate h. -3, 4, 64 Suppose -2*l**5 + 16*l**4 + 8*l**3 - 64*l**2 = 0. What is l? -2, 0, 2, 8 Suppose -2*u**5 - 16*u**4 + 20*u**3 + 160*u**2 - 18*u - 144 = 0. What is u? -8, -3, -1, 1, 3 Solve 2*u**4 - 14*u**3 - 6*u**2 + 110*u + 100 = 0 for u. -2, -1, 5 Determine x, given that -x**4/7 + 37*x**3/7 + 117*x**2/7 + 17*x + 40/7 = 0. -1, 40 Factor z**5/4 - 11*z**3/4 + 9*z**2/2 - 2*z. z*(z - 2)*(z - 1)**2*(z + 4)/4 Find x such that x**3 + 365*x**2 + 33488*x + 33124 = 0. -182, -1 What is u in 2*u**2 - 106*u + 644 = 0? 7, 46 Suppose -c**2 + 3316*c - 2748964 = 0. What is c? 1658 Factor -q**5/2 - 7*q**4 - 61*q**3/2 - 42*q**2 - 18*q. -q*(q + 1)**2*(q + 6)**2/2 Factor j**3 - 93*j**2 + 183*j - 91. (j - 91)*(j - 1)**2 Determine x, given that -32*x**4 + 1744*x**3 - 24162*x**2 + 11756*x - 1456 = 0. 1/4, 26, 28 Solve u**4/3 + 17*u**3 + 797*u**2/3 + 1015*u - 3234 = 0 for u. -21, -11, 2 Factor -5*d**2 + 110*d - 105. -5*(d - 21)*(d - 1) Factor -2*o**2/7 - 15916*o/7 - 31664882/7. -2*(o + 3979)**2/7 Factor 5*y**5 - 410*y**4 - 415*y**3. 5*y**3*(y - 83)*(y + 1) Factor x**4 - 128*x**3 + 6072*x**2 - 126464*x + 976144. (x - 38)**2*(x - 26)**2 Suppose 3*h**3 + 15*h**2 - 216*h + 432 = 0. Calculate h. -12, 3, 4 Factor -5*j**5 + 50*j**4 - 195*j**3 + 370*j**2 - 340*j + 120. -5*(j - 3)*(j - 2)**3*(j - 1) Find j such that -2*j**2/7 - 6*j/7 + 20 = 0. -10, 7 Factor f**4/3 - 33*f**3 + 765*f**2 + 2601*f. f*(f - 51)**2*(f + 3)/3 Factor -o**2/5 - 31*o/5 + 102/5. -(o - 3)*(o + 34)/5 Factor -5*g**5 - 100*g**4 - 340*g**3 - 320*g**2. -5*g**2*(g + 2)**2*(g + 16) Factor 39*n**3 - 153*n**2 + 24*n + 252. 3*(n - 3)*(n - 2)*(13*n + 14) Find a, given that -6*a**4/5 - 68*a**3/5 + 134*a**2/5 + 52*a/5 = 0. -13, -1/3, 0, 2 Factor -10*f**5 - 25*f**4 - 20*f**3 - 5*f**2. -5*f**2*(f + 1)**2*(2*f + 1) Find i, given that -4*i**3 + 56*i**2 - 96*i = 0. 0, 2, 12 Factor -2*b**3 + 40*b**2 - 134*b + 96. -2*(b - 16)*(b - 3)*(b - 1) Factor 56*j**4 - 149*j**3 + 80*j**2 - 12*j. j*(j - 2)*(7*j - 2)*(8*j - 3) Suppose 2*h**2 - 8*h = 0. What is h? 0, 4 Factor -2*o**2/11 - 56*o/11 - 104/11. -2*(o + 2)*(o + 26)/11 Factor 3*u**4 - 3*u**3. 3*u**3*(u - 1) Determine j, given that -130*j**4/3 + 44*j**3 + 128*j**2/3 - 44*j + 2/3 = 0. -1, 1/65, 1 Solve n**3 - 6*n**2 + 3*n + 10 = 0. -1, 2, 5 Factor 3*i**2 + 5361*i. 3*i*(i + 1787) Factor 3*s**3 + 3027*s**2 + 759000*s - 2304324. 3*(s - 3)*(s + 506)**2 Factor p**2 + 1201*p - 1202. (p - 1)*(p + 1202) Let -3*b**2 + 96*b = 0. What is b? 0, 32 Find a such that 3*a**3/4 - 33*a**2/4 + 57*a/4 - 27/4 = 0. 1, 9 Factor 3*s**5 + 9*s**4 - 3*s**3 - 33*s**2 - 36*s - 12. 3*(s - 2)*(s + 1)**3*(s + 2) Find g such that -3*g**4 - 60*g**3 + 207*g**2 - 12*g - 276 = 0. -23, -1, 2 Solve 4*d**2 + 108*d + 200 = 0 for d. -25, -2 Let -2*y**3/15 + 76*y**2 - 14440*y + 2743600/3 = 0. Calculate y. 190 Solve -3*u**3 + 1680*u**2 = 0 for u. 0, 560 Factor 2*c**4/19 - 784*c**3/19 + 77612*c**2/19 - 152880*c/19 + 76050/19. 2*(c - 195)**2*(c - 1)**2/19 Suppose m**2 - 304*m - 2177 = 0. Calculate m. -7, 311 Factor 5*p**2 + 25*p - 70. 5*(p - 2)*(p + 7) Suppose q**4 - 26*q**3/3 + 49*q**2/3 + 38*q/3 - 40/3 = 0. Calculate q. -1, 2/3, 4, 5 Factor 2*l**4/7 + 2*l**3/7 - 6*l**2/7 - 2*l/7 + 4/7. 2*(l - 1)**2*(l + 1)*(l + 2)/7 Factor -a**2 + 2*a + 63. -(a - 9)*(a + 7) What is m in -2*m**5 - 118*m**4 + 244*m**3 - 4*m**2 - 242*m + 122 = 0? -61, -1, 1 Find v such that 245*v**5/3 + 84*v**4 - 400*v**3/3 + 48*v**2 - 16*v/3 = 0. -2, 0, 2/7, 2/5 Factor -s**3/2 + s**2 - s/2. -s*(s - 1)**2/2 Factor -r**3/7 + 3*r**2 + 46*r/7. -r*(r - 23)*(r + 2)/7 Factor -2*r**2/7 + 704*r/7. -2*r*(r - 352)/7 Factor b**3/2 - 29*b**2/2 + 94*b - 80. (b - 20)*(b - 8)*(b - 1)/2 Factor -4*b**5 + 16*b**3. -4*b**3*(b - 2)*(b + 2) Solve 2*a**2 + 270*a - 272 = 0 for a. -136, 1 Solve 3*i**2/8 + 27*i/4 - 729/8 = 0 for i. -27, 9 Determine y so that 6*y**4/7 - 6*y**3/7 - 12*y**2/7 = 0. -1, 0, 2 Factor 4*t**4 + 44*t**3 + 132*t**2 + 20*t - 200. 4*(t - 1)*(t + 2)*(t + 5)**2 Let -3*k**4 + 84*k**3 + 372*k**2 + 384*k = 0. Calculate k. -2, 0, 32 Let -2*y**2 + 20*y - 32 = 0. Calculate y. 2, 8 Let 20*p**4 + 105*p**3 - 1295*p**2 - 330*p = 0. What is p? -11, -1/4, 0, 6 Find j such that 2*j**4 - 8*j**3 + 10*j**2 - 4*j = 0. 0, 1, 2 Factor x**3/4 + 457*x**2/4. x**2*(x + 457)/4 Suppose 2*b**5/3 + 20*b**4/3 - 52*b**3/3 - 104*b**2 + 102*b + 396 = 0. Calculate b. -11, -3, -2, 3 Suppose -j**3/3 - 5*j**2/6 - j/3 = 0. Calculate j. -2, -1/2, 0 Factor -a**3/3 - 4*a**2/3 + 11*a/3 + 10. -(a - 3)*(a + 2)*(a + 5)/3 Factor -3*n**5/4 + 21*n**4/4 - 45*n**3/4 + 39*n**2/4 - 3*n. -3*n*(n - 4)*(n - 1)**3/4 Solve h**3 - 7*h**2 + 15*h - 9 = 0 for h. 1, 3 Factor a**3/5 - 31*a**2/5 + 108*a/5. a*(a - 27)*(a - 4)/5 Factor 5*b**4/3 - 8*b**3/3 + b**2/3 + 2*b/3. b*(b - 1)**2*(5*b + 2)/3 Factor 3*s**3/5 + 48*s**2 + 960*s. 3*s*(s + 40)**2/5 Factor -b**3 + 5*b**2 + 4*b - 20. -(b - 5)*(b - 2)*(b + 2) Suppose -21*y**5 - 2175*y**4 - 1236*y**3 = 0. What is y? -103, -4/7, 0 Determine h so that -h**2/4 + 11*h/2 - 21/4 = 0. 1, 21 Factor s**2/4 - 171*s/4 + 169/2. (s - 169)*(s - 2)/4 Solve -2*j**5 - 40*j**4 - 36*j**3 + 1768*j**2 - 1690*j = 0. -13, 0, 1, 5 Determine n, given that 5*n**4/3 + 355*n**3/3 - 730*n**2/3 = 0. -73, 0, 2 Factor -2*s**4/11 + 10*s**3/11 - 16*s**2/11 + 8*s/11. -2*s*(s - 2)**2*(s - 1)/11 Let 5*v**4 + 20*v**3 - 65*v**2 - 20*v + 60 = 0. What is v? -6, -1, 1, 2 Solve d**3/4 + 3*d**2/2 + 9*d/4 = 0. -3, 0 Factor 5*n**3 + 70*n**2 + 55*n - 130. 5*(n - 1)*(n + 2)*(n + 13) Factor 4*d**2 - 584*d + 21316. 4*(d - 73)**2 Solve -5*l**2 + 100*l - 320 = 0 for l. 4, 16 Determine p, given that p**3 + 4*p**2 - 21*p = 0. -7, 0, 3 Factor 3*j**3/5 + 1858*j**2 + 7195104*j/5 + 4792608/5. (j + 1548)**2*(3*j + 2)/5 Find q, given that -q**3 + 38*q**2 = 0. 0, 38 Let 4*u**2 - 16*u = 0. Calculate u. 0, 4 Suppose 4*r**3 + 19868*r**2 + 39724*r + 19860 = 0. What is r? -4965, -1 Factor q**2/3 - 469*q/3 - 472. (q - 472)*(q + 3)/3 Factor o**3/2 - o**2. o**2*(o - 2)/2 Determine f, given that -2*f**4/9 + 8*f**3/3 + 52*f**2 - 360*f - 4050 = 0. -9, 15 Factor -2*t**3/3 - 34*t**2/3 - 50*t - 66. -2*(t + 3)**2*(t + 11)/3 Determine y, given that -3*y**4 - 90*y**3 + 504*y**2 - 726*y + 315 = 0. -35, 1, 3 Let 2*t**4/11 - 38*t**3/11 + 234*t**2/11 - 54*t + 540/11 = 0. Calculate t. 3, 10 Solve -r**3/7 + 10950*r**2/7 - 39967500*r/7 + 48627125000/7 = 0 for r. 3650 Factor 3*h**4 - 177*h**3 - 741*h**2 - 939*h - 378. 3*(h - 63)*(h + 1)**2*(h + 2) Factor -y**4/3 + 152*y**3/3 - 1925*y**2 - 152*y/3 + 5776/3. -(y - 76)**2*(y - 1)*(y + 1)/3 Let -4*a**5/3 + 8*a**4/3 + 28*a**3/3 + 16*a**2/3 = 0. What is a? -1, 0, 4 Let 3*s**5/5 - 8*s**4 + 139*s**3/5 + 66*s**2/5 - 684*s/5 + 216/5 = 0. Calculate s. -2, 1/3, 3, 6 Factor l**3/6 - 34*l**2/3 + 22*l. l*(l - 66)*(l - 2)/6 Determine g, given that 3*g**4/7 - 48*g**3 + 1344*g**2 = 0. 0, 56 Let 5*q**3/3 + 6*q**2 - 113*q/3 + 14 = 0. Calculate q. -7, 2/5, 3 Factor -2*d**5/5 - 8*d**4/5 + 52*d**3/5 - 88*d**2/5 + 62*d/5 - 16/5. -2*(d - 1)**4*(d + 8)/5 Find p, given that p**4 + 18*p**3 - 40*p**2 = 0. -20, 0, 2 What is n in -3*n**4/5 + 99*n**3/5 - 54*n**2 - 12*n/5 + 72 = 0? -1, 2, 30 Factor -4*q**4 - 56*q**3 + 204*q**2. -4*q**2*(q - 3)*(q + 17) Suppose 2*c**4/5 - 8*c**3/5 - 26*c**2/5 + 8*c/5 + 24/5 = 0. What is c? -2, -1, 1, 6 Factor 2*j**4 + 16*j**3 - 6*j**2 - 44*j + 32. 2*(j - 1)**2*(j + 2)*(j + 8) Factor 2*n**3/15 - 66*n**2/5 + 320*n + 1000/3. 2*(n - 50)**2*(n + 1)/15 Factor -4*l**2 + 256*l - 4096. -4*(l - 32)**2 Factor d**4 - 9
{ "pile_set_name": "DM Mathematics" }
der. v, k, 1 Let x = 222.8 - 201. Let g = -22 + x. Put 4, -1, g in descending order. 4, g, -1 Let l be ((-2)/6)/((-24)/(-18)). Let f = -2.6 - -3. Sort l, 0.1, f in descending order. f, 0.1, l Let q be ((-4)/(-122))/((-1)/(-3)). Let p = 135/488 + q. Put p, -0.1, 0.1 in increasing order. -0.1, 0.1, p Let w = 17.5 - 18.5. Put 1, w, -2/5, -0.04 in decreasing order. 1, -0.04, -2/5, w Suppose -3*j + 3*u = -6*j, 2*j = -u + 5. Let a be (-5)/30*(j + -1). Sort 2/19, a, 0.2. a, 2/19, 0.2 Let t = 41/238 - 1/34. Sort -4/9, 0.4, -2/11, t in ascending order. -4/9, -2/11, t, 0.4 Let j = -6 - -6. Suppose 2*r - 4*r = -8. Suppose s = -0 - r. Sort j, s, -1 in decreasing order. j, -1, s Let j = -2173/6 - -363. Let q = j + -1/12. Put 2/11, 1/4, q in increasing order. 2/11, 1/4, q Let h(y) be the second derivative of y**4/24 + y**3/6 - y**2 + 2*y. Let w(f) be the first derivative of h(f). Let z be w(-1). Sort z, 3, -4 in increasing order. -4, z, 3 Let p = -2 - -5. Let o = -11 - -16. Put -1, p, o in descending order. o, p, -1 Let l = -51 + 46. Sort 2, l, 0 in decreasing order. 2, 0, l Let s = -3.7 - -4. Sort s, -0.4, 13 in descending order. 13, s, -0.4 Let n = 9 + -18. Let t = n + 1. Let c = -5 - t. Put 0.1, -2/7, c in descending order. c, 0.1, -2/7 Let a = 13/2 - 7. Suppose -q + x - 5*x - 5 = 0, -q + 2*x - 5 = 0. Sort 0, a, q in decreasing order. 0, a, q Let j = -47 + 44. Sort j, -4, -0.2, 2 in decreasing order. 2, -0.2, j, -4 Let p = 6 - -12. Let s be 1*3 + (-48)/p. Sort -1, s, -2 in increasing order. -2, -1, s Let f = 0.37 + -0.17. Sort 1/2, f, 3 in decreasing order. 3, 1/2, f Suppose 0*r + 4*j - 4 = 3*r, -r - 8 = -3*j. Suppose 0 = l + 3*i - 5, -3*i + 0*i = 2*l - 7. Let c be 4 + 5/(-1) + l. Put -5, r, c in descending order. r, c, -5 Let t be ((-1)/1)/((-2)/(-10)). Put -3, t, 4 in ascending order. t, -3, 4 Suppose -4*y + 0*z - 2 = z, -y - 2*z + 3 = 0. Put y, 1, 7 in ascending order. y, 1, 7 Let f be (4/(-7))/(((-24)/(-14))/(-6)). Put f, -5, -6 in decreasing order. f, -5, -6 Let k = 0.4 + 2.6. Let q = -3/38 - 13/76. Sort k, q, -5 in descending order. k, q, -5 Let i be -1 + -3 + (-2 - -5). Let k be (2/(-6))/(i/(-6)). Sort 4, k, -5. -5, k, 4 Let i = 1 + 3. Sort -2, i, -5, 5 in increasing order. -5, -2, i, 5 Let k be (((-58)/(-28) + -2)*-4)/(-1). Sort 1, 0.3, k, -0.1 in descending order. 1, 0.3, k, -0.1 Suppose -48 = 7*d + 1. Sort 1, 0.1, d, -0.4 in increasing order. d, -0.4, 0.1, 1 Let w = -45 + 43. Let c be (-2 + 4)/((-2)/3). Sort w, c, 3 in ascending order. c, w, 3 Let v = -1 - -3. Suppose -v*u = 8 - 16. Suppose 28 = 4*y - z, 0*z - 18 = -y + 3*z. Sort u, 3, y in descending order. y, u, 3 Suppose 22*b + 10 = 20*b. Sort 2, b, 4 in ascending order. b, 2, 4 Let l(x) = x**2 + x - 1. Let i be l(1). Let p(j) = -5*j**2 + 1. Let k be p(1). Sort k, i, -1. k, -1, i Let y be 2/(-4) + 1/(-2). Suppose 7*k - 3*k - 44 = -4*n, -4*k + 43 = 5*n. Suppose 2*j - 3*s - 1 = 1, -5*j - s - k = 0. Sort j, y, 3 in descending order. 3, y, j Let a = 107 + -106. Put 0.1, -2, a, -0.2 in ascending order. -2, -0.2, 0.1, a Suppose 3*x - 2 = 2*x. Suppose -284 = 5*w + x*n, 4*w + 370 = -4*n + 138. Let u be 2/8 - (-46)/w. Sort u, -5, 0.1 in decreasing order. 0.1, u, -5 Suppose a + 2 = -1. Let j be (a/1)/1 + 7. Put j, 1, 5 in decreasing order. 5, j, 1 Let g = -16 + 125/8. Sort g, 4, -5 in descending order. 4, g, -5 Let y = -12 + 1. Let t = 10.61 + 0.49. Let u = y + t. Sort -1, -0.5, u in ascending order. -1, -0.5, u Let m be 4/2 - (-2)/1. Put -3, -4, m, 2 in ascending order. -4, -3, 2, m Let d(l) = l**3 - 5*l**2 - 8*l - 7. Let n be d(7). Let f be 2/5 + (-29)/n. Let b be 0 + (-3)/((-12)/(-8)). Put b, -5, f in descending order. f, b, -5 Let p = -32 - -32. Put -5, p, 13 in increasing order. -5, p, 13 Let c be 1*(7 - (0 - -2)). Suppose -2 = -c*u + 13. Suppose -3*f + 7 + 5 = 0. Sort u, f, -5. -5, u, f Let f(b) = b**2 - b - 2. Let o be f(-2). Suppose 0 = -4*r + 12, -q - o = 5*r - 8*r. Let t = -3 + 0. Put t, 0.2, q in ascending order. t, 0.2, q Suppose -5*z - 8 = 12. Let u be 2/(-3)*(-4)/24. Let o = 11/18 - u. Sort z, 2/9, o in increasing order. z, 2/9, o Let j(d) = -d**3 - 6*d**2 - 3*d + 11. Let y be j(-5). Sort y, 5, -4 in ascending order. -4, y, 5 Let p = -8 + 5. Let j = p + 1. Sort j, 1, 5 in descending order. 5, 1, j Suppose y + w = 3*y - 3, 2*y + 2*w - 18 = 0. Sort y, -2, -3, 1 in increasing order. -3, -2, 1, y Suppose 3*i + 5*h = -i - 550, 4*i - 4*h + 568 = 0. Let d = i + 416/3. Sort -4, -5, d in decreasing order. d, -4, -5 Suppose 0 = 4*i + 4 - 20. Put i, -5, 0.4 in descending order. i, 0.4, -5 Let q be 0 - -1 - (3 + -3). Let h be 1 - -3*q*-1. Let y(b) = -b**3 - 12*b**2 - 10*b + 7. Let a be y(-11). Put -1, a, h in descending order. -1, h, a Suppose -3*r + 8*t + 1 = 3*t, 2*t - 5 = 3*r. Suppose -2*s = -4*s + 2. Put r, -5, s in descending order. s, r, -5 Let l = 7 + -11. Let j be l/(-4) - (68 + -3). Let i = j - -830/13. Sort i, 2/7, -4/5 in ascending order. -4/5, i, 2/7 Let u = -35 - -247/7. Let z = -0.1 - -0.3. Let g = z - 0.4. Put 0.4, g, u in increasing order. g, u, 0.4 Let z = -1.6 - 1.4. Let m = -3 - z. Sort m, -2/3, -1 in increasing order. -1, -2/3, m Let x be (-18)/(-2)*3/9. Suppose 2 = -p - 5*c, 2*p + x*c + 9 = 4*p. Suppose 17 = -j - 2*m + 5*m, 3*j + 4*m - 14 = 0. Put 4, j, p in descending order. 4, p, j Let q(x) = -x**2 + 2. Let l be q(-2). Let i be (-34)/(-4) + 4/(-8). Let k be (-45)/12 - 2/i. Sort k, 3, l. k, l, 3 Let c = -24 - -26. Put c, -4, 0 in ascending order. -4, 0, c Suppose 2*t - 7 - 1 = 0. Suppose t*y - 16 - 16 = 0. Let s = -13 + y. Put s, 0, 5 in decreasing order. 5, 0, s Suppose 2 = 3*a - 2*t + 10, 2*a = -4*t. Let w = a + 4. Put w, 5, -1 in increasing order. -1, w, 5 Let i = 2.03 + -0.03. Let r = -6 + 5. Let y = r + i. Put 0.5, 0.2, y in decreasing order. y, 0.5, 0.2 Let b = -85 + 681/8. Let q be (0 - 1)/(2/(-10)). Let a = -3.99 + -0.01. Sort b, q, a in descending order. q, b, a Let k = 5 + -3. Let g = -5.6 - 0.4. Sort g, -0.2, k. g, -0.2, k Let a = -0.06 - -2.46. Let m = a + -2.9. Sort m, 0.2, 5 in increasing order. m, 0.2, 5 Let i(k) = 7*k - 2. Let a be i(1). Put a, -3/2, -0.1 in decreasing order. a, -0.1, -3/2 Let u = -44 - -32. Sort -1, u, 1 in ascending order. u, -1, 1 Suppose 4 - 12 = -4*s - j, -3*s + 6 = -5*j. Let l be (4 - s) + 1 + 1. Sort -1, -3, l. -3, -1, l Let t = -19.3 + 19. Put t, -5, 0.4 in descending order. 0.4, t, -5 Let s be 3 - 3 - -2 - -32. Suppose 3*k - s = 5*i, -2*k - 4*i - 14 = -0*k. Put 2, k, 1 in descending order. k, 2, 1 Let y be (-10)/(-4)*(-8)/(-20). Suppose -3*r - w = 7, r = -2*r - 4*w - 10. Let i be 6*(-2)/(-8)*r. Sort i, y, 5 in ascending order. i, y, 5 Let m = 24 + -15. Suppose -1 = -2*h + m. Put -0.5, h, 2 in descending order. h, 2, -0.5 Let z be ((-6)/(-15))/(-2) + 12/(-15). Put -2, -5, 0, z in decreasing order. 0, z, -2, -5 Let n(a) = -3*a - 4. Let b be n(-3). Let s be (-2)/20*(1 - b). Sort 4, -3, s in ascending order. -3, s, 4 Let v = -8 + 14. Suppose -v = 2*h - 0*h. Let p be 38/9 - 4/18. Sort h, -4, p in decreasing order. p, h, -4 Let v = -75.1 + 65. Let n = v - -11. Put n, -1, 0.3 in ascending order. -1, 0.3, n Let o be (1/15)/(16/200). Sort o, 3, 5, -1 in decreasing order. 5, 3, o, -1 Let q(g) = 3*g. Let u be q(-1). Let c = 122/55 - 20/11. Sort c, u, 5 in descending order. 5, c, u Let y = 0.25 + -0.36. Put -1, y, -3/8 in descending order. y, -3/8, -1 Suppose 15 = -2*y + 23. Sort y, 5, -4, 3. -4, 3, y, 5 Let i = -143 - -144. Let j = 6 + -8. Put j, -1, i in ascending order. j, -1, i Let o = -0.036 + -5.964. Put o, 0.4, 1/7 in descending order. 0.4, 1/7, o Suppose -2*l + 15 = -5*l, -l - 30 = -5*b. Let w be -2*b*2/4. Sort w, 3, 2 in descending order. 3, 2, w Let s(r) = 3*r**2 - 23*r - 7. Let w be s(8). Put 2, w, -1/8, 0.1 in descending order. 2, w, 0.1, -1/8 Let f = 89/132 + 7/44. Put f, 0.4, -6, -3 in ascending order. -6, -3, 0.4, f Suppose -2*z = m + 12, -z - 3*z + 2*m - 32 = 0. Let q(d) = d**2 + 7*d + 5. Let o be q(z). Let x(r) = r - 7. Let j be x(4). Put o, j, 1 in decreasing order. o, 1, j Let n be 3*(1/(-1))/(-1). Suppose c = n*c - 4. Let t = 18 + -14. Put c, -4, t in descending order. t, c, -4 Let k(l) = -2*l - 10. Let v be k(-7). Put 0, 7, v in increasing order. 0, v, 7 Let z = -1 + 5. Suppose 0*r + 15 = 3*r. Suppose -5*i = 5*s + 5, r*i +
{ "pile_set_name": "DM Mathematics" }
426. 422 Calculate the remainder when 100839 is divided by 62. 27 What is the remainder when 11166 is divided by 319? 1 Calculate the remainder when 3391736 is divided by 31. 26 Calculate the remainder when 129826 is divided by 147. 25 Calculate the remainder when 848768 is divided by 77. 74 What is the remainder when 90436 is divided by 129? 7 What is the remainder when 12958 is divided by 2589? 13 Calculate the remainder when 319901 is divided by 32. 29 What is the remainder when 161088 is divided by 23? 19 What is the remainder when 801 is divided by 81? 72 What is the remainder when 58948 is divided by 5337? 241 What is the remainder when 882 is divided by 464? 418 What is the remainder when 44736 is divided by 234? 42 Calculate the remainder when 1297 is divided by 373. 178 Calculate the remainder when 5239 is divided by 5142. 97 What is the remainder when 1473 is divided by 196? 101 What is the remainder when 13655 is divided by 4442? 329 What is the remainder when 15384 is divided by 16? 8 What is the remainder when 24378 is divided by 1426? 136 Calculate the remainder when 663423 is divided by 292. 291 Calculate the remainder when 33645 is divided by 22. 7 Calculate the remainder when 4396 is divided by 639. 562 Calculate the remainder when 12125 is divided by 137. 69 Calculate the remainder when 65663 is divided by 791. 10 Calculate the remainder when 1950 is divided by 232. 94 Calculate the remainder when 238 is divided by 141. 97 What is the remainder when 5469 is divided by 26? 9 Calculate the remainder when 59951 is divided by 4. 3 What is the remainder when 16179 is divided by 776? 659 What is the remainder when 14215 is divided by 7? 5 Calculate the remainder when 2013478 is divided by 1020. 1018 Calculate the remainder when 5242 is divided by 748. 6 What is the remainder when 61442 is divided by 239? 19 Calculate the remainder when 24205 is divided by 266. 265 Calculate the remainder when 77649 is divided by 25883. 0 Calculate the remainder when 93586 is divided by 13369. 3 Calculate the remainder when 390099 is divided by 3024. 3 Calculate the remainder when 13298 is divided by 175. 173 Calculate the remainder when 27822 is divided by 11. 3 What is the remainder when 5327 is divided by 81? 62 Calculate the remainder when 15031 is divided by 160. 151 Calculate the remainder when 5330 is divided by 299. 247 Calculate the remainder when 10200 is divided by 487. 460 Calculate the remainder when 24079 is divided by 35. 34 Calculate the remainder when 6655 is divided by 316. 19 Calculate the remainder when 32690 is divided by 605. 20 Calculate the remainder when 10805 is divided by 374. 333 Calculate the remainder when 20683 is divided by 94. 3 Calculate the remainder when 17050 is divided by 122. 92 What is the remainder when 134704 is divided by 14? 10 Calculate the remainder when 142118 is divided by 152. 150 What is the remainder when 2491 is divided by 2461? 30 Calculate the remainder when 11649 is divided by 387. 39 What is the remainder when 14372 is divided by 513? 8 What is the remainder when 90700 is divided by 1260? 1240 Calculate the remainder when 154999 is divided by 66. 31 Calculate the remainder when 12163 is divided by 35. 18 Calculate the remainder when 9404 is divided by 285. 284 What is the remainder when 371306 is divided by 356? 354 Calculate the remainder when 6505 is divided by 52. 5 Calculate the remainder when 214496 is divided by 23. 21 Calculate the remainder when 132182 is divided by 802. 654 Calculate the remainder when 195116 is divided by 25. 16 Calculate the remainder when 19995 is divided by 333. 15 Calculate the remainder when 950 is divided by 13. 1 What is the remainder when 54698 is divided by 18141? 275 Calculate the remainder when 71598 is divided by 68. 62 What is the remainder when 192660 is divided by 64212? 24 Calculate the remainder when 56103 is divided by 8013. 12 What is the remainder when 90343 is divided by 22585? 3 Calculate the remainder when 4366 is divided by 1890. 586 What is the remainder when 43993 is divided by 68? 65 Calculate the remainder when 45806 is divided by 22899. 8 What is the remainder when 2250 is divided by 656? 282 Calculate the remainder when 76592 is divided by 336. 320 Calculate the remainder when 7006 is divided by 1394. 36 What is the remainder when 1444 is divided by 1436? 8 Calculate the remainder when 55649 is divided by 640. 609 Calculate the remainder when 1842 is divided by 308. 302 Calculate the remainder when 21511 is divided by 1606. 633 What is the remainder when 1102 is divided by 6? 4 Calculate the remainder when 1049 is divided by 161. 83 What is the remainder when 865502 is divided by 127? 124 What is the remainder when 5357 is divided by 5348? 9 Calculate the remainder when 201098 is divided by 50268. 26 Calculate the remainder when 18903 is divided by 344. 327 Calculate the remainder when 99063 is divided by 209. 206 Calculate the remainder when 8815 is divided by 359. 199 Calculate the remainder when 1353595 is divided by 1920. 1915 Calculate the remainder when 3674 is divided by 864. 218 Calculate the remainder when 38888 is divided by 7. 3 What is the remainder when 45984 is divided by 648? 624 Calculate the remainder when 124378 is divided by 10. 8 What is the remainder when 255102 is divided by 72? 6 Calculate the remainder when 2187 is divided by 198. 9 What is the remainder when 819 is divided by 166? 155 What is the remainder when 40413 is divided by 167? 166 What is the remainder when 23460 is divided by 586? 20 Calculate the remainder when 1030 is divided by 880. 150 What is the remainder when 35009 is divided by 223? 221 What is the remainder when 14044 is divided by 187? 19 What is the remainder when 4330 is divided by 29? 9 What is the remainder when 5474 is divided by 1051? 219 What is the remainder when 19234 is divided by 1685? 699 What is the remainder when 6815 is divided by 2673? 1469 What is the remainder when 6283 is divided by 1028? 115 What is the remainder when 502983 is divided by 74? 5 What is the remainder when 125254 is divided by 2123? 2120 What is the remainder when 105028 is divided by 2387? 0 What is the remainder when 8570 is divided by 183? 152 Calculate the remainder when 34426 is divided by 110. 106 Calculate the remainder when 12628 is divided by 153. 82 Calculate the remainder when 6136528 is divided by 1290. 1288 Calculate the remainder when 9296 is divided by 417. 122 What is the remainder when 3343 is divided by 954? 481 What is the remainder when 104668 is divided by 43? 6 Calculate the remainder when 2081 is divided by 364. 261 Calculate the remainder when 556 is divided by 372. 184 Calculate the remainder when 6274 is divided by 1030. 94 What is the remainder when 5935 is divided by 156? 7 Calculate the remainder when 4248 is divided by 34. 32 Calculate the remainder when 52663 is divided by 73. 30 Calculate the remainder when 4893 is divided by 63. 42 Calculate the remainder when 192193 is divided by 16016. 1 Calculate the remainder when 12217 is divided by 20. 17 What is the remainder when 22650 is divided by 2830? 10 What is the remainder when 6340 is divided by 21? 19 What is the remainder when 27716 is divided by 3079? 5 Calculate the remainder when 11427 is divided by 295. 217 Calculate the remainder when 500234 is divided by 140. 14 What is the remainder when 165596 is divided by 80? 76 What is the remainder when 123142 is divided by 170? 62 What is the remainder when 2263 is divided by 2227? 36 What is the remainder when 54797 is divided by 20? 17 What is the remainder when 83423 is divided by 668? 591 Calculate the remainder when 6510 is divided by 412. 330 Calculate the remainder when 1282 is divided by 25. 7 What is the remainder when 397850 is divided by 138? 134 What is the remainder when 6068 is divided by 1016? 988 Calculate the remainder when 149052 is divided by 882. 876 Calculate the remainder when 334097 is divided by 50. 47 Calculate the remainder when 3658 is divided by 77. 39 What is the remainder when 10448 is divided by 95? 93 Calculate the remainder when 18157 is divided by 1522. 1415 What is the remainder when 1278 is divided by 143? 134 What is the remainder when 36
{ "pile_set_name": "DM Mathematics" }
151/24. Let c = 47/6 - j. What is the nearest to k in -5, c, -3? c Let u = -0.14 + 12.14. Let y = u - 15. Let k = -0.1 + -0.1. Which is the closest to 0? (a) 0.3 (b) y (c) k c Let z be (4/3)/((-8)/(-12)). What is the nearest to -0.1 in -0.1, z, -2/3? -0.1 Let f = -2.9 + 3. Let y = 0.3 - f. Let z = -4.2 + 6.2. What is the closest to 2/5 in y, 0.1, z? y Let q = -3.7 + 1.7. Which is the nearest to 1? (a) -4 (b) -0.05 (c) q b Suppose 2*a + 8 = 4*t, 0*a = 3*a - 3*t + 6. Suppose a = -w + 1 - 2. What is the nearest to w in 3, -3/4, -1? -1 Let s be -3*(21/12)/(-7). Let d = -0.25 - -0.25. What is the nearest to 0 in s, d, -4? d Let z = 0.16 - 0.2. Let m = 80 - 78.04. Let h = m - z. What is the nearest to h in 4, -1, 0.5? 0.5 Let o be 16/7 + -2 - 0. Let f(s) = s**2 + 5*s + 3. Let g be f(-4). Which is the closest to o? (a) g (b) 4 (c) -3/8 c Let y = -3 + 2.8. Let g = 3.5 + -3. Let p = -0.1 - -0.2. Which is the closest to p? (a) y (b) g (c) -0.4 a Let k be (30/8)/((-5)/(10/(-6))). What is the closest to k in 0, -1, 1/5? 1/5 Let h = 3.9 + -4. Let x be (2/15)/(12/10). Which is the closest to -1? (a) x (b) h (c) -1/5 c Let o = 166 - 148. Which is the nearest to o? (a) -2/11 (b) -1 (c) -3 a Suppose 2 = 9*u - 7. Let f = 233 + -3031/13. What is the closest to u in -5, -2/21, f? -2/21 Let k = -0.5 - -0.7. Let t = -0.6 + k. Which is the closest to -1/4? (a) -4 (b) t (c) 1 b Let h = 2.4 - -2.6. Let x = -0.15 + -0.95. Let m = x - -1. Which is the nearest to m? (a) h (b) -4 (c) -2/7 c Let v = 9/4 + -11/4. Let r be 2/(-3) + ((-85)/60)/(-1). What is the nearest to v in r, -0.4, 0? -0.4 Let t = 0.53 + -0.5. Let z = -0.37 - t. Let c = z + 0.5. What is the closest to c in -2, 0.3, -2/3? 0.3 Let x = -2.4 - 0.6. Let q = -3.5 - x. What is the closest to 1 in -5, q, -1? q Let h = -108/11 - -734/77. What is the closest to -2 in 0, h, 0.4? h Suppose 8 = -2*y + 2. Let u = 2 + y. Let g = 21 - 16. Which is the nearest to 2/5? (a) g (b) u (c) 2 b Let i = 2/229 - 695/916. Suppose 2*v - 4*r = -v - 9, -4*v + 1 = -r. Which is the nearest to i? (a) v (b) -0.4 (c) -5 b Let m = 8 - 15. Let f = m - -6.9. Let p = -2 + 1.9. What is the closest to f in 0, p, 2? p Let t = -6.12 + 6. Let h = t + 0.02. Which is the closest to 1/3? (a) h (b) -0.4 (c) 2 a Let u be (-2)/(-12)*(-30)/20. What is the closest to u in 5, -1, -2/15? -2/15 Let x = -0.7 + 1. Let z = 70 + -67. Let n = -1.1 + 5.1. Which is the closest to 1? (a) x (b) z (c) n a Let f(u) = -7*u + 1. Let g be f(1). Let m be 4 - 1/2*g. Suppose m*a + 20 = 3*a. What is the closest to -1 in 2, -2/3, a? -2/3 Let s = 12 - 12. Let o = 0.8 + 3.2. Which is the nearest to s? (a) o (b) -0.2 (c) -5 b Let y = -1.4 - -3.4. What is the nearest to y in 1/8, 0.2, 0? 0.2 Let z = -6 - -4. Suppose 27 = 3*y - 5*u, 8*u - 6*u = -6. Which is the nearest to -0.1? (a) y (b) z (c) 0 c Suppose -w + 5 = 6. Let j be (-53)/(-36) - 50/40. Which is the closest to w? (a) j (b) -0.1 (c) -2/5 c Let j = -8 - -6. Let r = -14.44 + 1.14. Let f = 13 + r. What is the closest to j in 3, -2/7, f? f Let g = -0.25 + 0.15. Which is the nearest to g? (a) -1 (b) 4 (c) -4/5 c Let b = 19.1 - 14.1. What is the closest to 1/4 in -3/5, 1/2, b? 1/2 Let o = 8 - 12. What is the closest to -1 in 1, -0.3, o? -0.3 Let x = 700 - 20298/29. Let p = x + -43/203. Let u be (-4)/(-9)*(-9)/6. Which is the nearest to u? (a) 2 (b) 5 (c) p c Let v = 20 + -34. Let w be 120/(-175) + (-4)/v. What is the closest to w in 2/7, -1, 0? 0 Let i = -31.8 + 50. Let v = 18 - i. Which is the closest to v? (a) -0.1 (b) 0.1 (c) -4 a Suppose 3 + 13 = -4*n, -2*n = 4*h - 24. Suppose 0 = 3*w - 6*w - 360. Let p be (-138)/w - 6/h. Which is the closest to 3? (a) p (b) 2 (c) -0.1 b Let a(g) = g**2 - 12*g + 6. Let q be a(11). Let c be (0 - 1) + (-2)/(-4). What is the closest to c in q, -0.1, 3? -0.1 Let b = -4.8 + 4.4. What is the nearest to -1 in 5, -1/2, b? -1/2 Let n be (96/(-3))/((-2)/3). Let q be n/21 - 4/2. Let g = 1.3 + -0.3. Which is the nearest to 2/5? (a) -2 (b) q (c) g b Suppose 7*p - 2*p - 5 = 0, 5*p = 5*s. What is the nearest to s in 4, 2/7, 0? 2/7 Let n be (4 - 1) + 26/(-10). What is the nearest to -2/11 in -4, 2/15, n? 2/15 Let t(y) = -3*y**3 - y**2 - 3*y - 1. Let b be t(-1). What is the closest to -0.1 in 5, 2/11, b? 2/11 Let o be (6/(-25))/((-9)/30). Which is the nearest to 1? (a) o (b) -3 (c) 3 a Let r = -23 - -21. Which is the nearest to -0.07? (a) -0.4 (b) r (c) -3 a Let x = -1.29 + 0.89. What is the nearest to -1/8 in 4, -2, x? x Let q = 1.03 - 0.03. What is the nearest to q in 0.4, 1, 3/4? 1 Let p be (-20)/8*1/25. Suppose 4*z + 1 = 5. What is the nearest to z in p, 4, 0.2? 0.2 Let j = -1 - 0. Let t = 118 - 113. Which is the nearest to -1? (a) t (b) j (c) -2 b Let k = -1/2 - -5/6. Let u = 5.08 - 0.08. Which is the closest to k? (a) 1 (b) u (c) -2/3 a Let u = 9.94 - 10. Let i = u + 0.06. What is the nearest to i in 5, -1/4, 1? -1/4 Suppose 3 + 221 = -4*s. What is the nearest to 0.1 in -1/6, s, 1? -1/6 Let d = -22 - -32. Suppose 2*i + d = 3*u + 1, -2*u = 5*i - 25. Suppose 4 = 4*l, -u*o + 8 = -0*o + 3*l. Which is the nearest to o? (a) 0 (b) -4 (c) 2/13 c Let m = 0.094 + 0.006. What is the nearest to -1 in 3, m, 0.04? 0.04 Let u = 12.9 + -7.9. What is the nearest to 0.4 in -3/4, 3/8, u? 3/8 Let r be 80/3 + (-2)/(-6). Suppose 8 = -2*c - 2*u + 2, 5*c - u + r = 0. What is the closest to 2/7 in c, 0.3, -2/11? 0.3 Let u = 0.01 + 0.03. Let f = u - 0.14. What is the nearest to f in 5, 0.4, 4? 0.4 Let l = 4.053 + -0.053. Which is the closest to 0? (a) -0.3 (b) l (c) -1/6 c Let z be 1 - (-10)/(1/(-1)). Let u = -10 - z. What is the nearest to 1 in -3, -2, u? u Let v = 0.51 - 0.11. What is the closest to 2 in v, 1/2, 0? 1/2 Suppose -5*j + 16 - 1 = 0. Suppose 3*u - 15 = -j. Let v = 0.7 - 0.6. What is the nearest to 2/5 in 0.5, v, u? 0.5 Let o = 245/12 + -61/3. What is the nearest to o in -2/13, 2, -0.4? -2/13 Let v(s) = s + 10. Let y be v(-8). Let w = -34521 - -1553741/45. Let i = -34/5 + w. What is the closest to y in 4, i, -4? 4 Let i = -1.2 + 1. Let j(f) = -f**3 + 9*f**2 - 8*f + 3. Let w = -14 - -22. Let g be j(w). Which is the nearest to -2? (a) -3 (b) i (c) g a Let g = -0.138 + 1.138. What is the nearest to g in 1/2, 1/3, 6? 1/2 Let w = 1.8 + -9.8. Let y = -9.2 - w. Let z = -0.2 - y. What is the nearest to 0 in z, 3, -2? z Let c = -2 - -3. Suppose -r = r + 32. Let b be (-10)/r*6/10. What is the closest to c in -0.4, 2/13, b? b Let f be (8/(-24))/((-1)/6). What is the closest to -11 in 0.1, f, 5? 0.1 Let p = -3.9 - -1.9. Which is the nearest to p? (a) 1 (b) -5/3 (c) -1 b Let w = -0.7 - -1. Which is the nearest to -2? (a) -2/9 (b) -3 (c) w b Let y be ((-20)/(-6))/((-2)/12). Let x = y + 12. Let n be -2 - 10/x*2. Which is the closest to n? (a) 0.3 (b) -3 (c) -2 a Let h = 0.2 - 0.3. Let u = 65/2 - 33. Which is the nearest to -1/4? (a) u (b) h (c) -2 b Let f = 34 + -34.3. What is the nearest to 0.1 in -0.1, 3/7, f? -0.1 Let w = 101 + -105. What is the closest to 1 in -5, -1, w? -1 Let w = 13.3 - -1.7. Let s = w + -12. Let y = 1.1 - 0.1. What is the nearest to y in 0.2, -0.1, s? 0.2 Let d(n) = -n**2 + 7*n - 9. Let x be d(5). Let i = 0 - -0.2. Which is the nearest to i? (a) 4 (b) x (c) -5 b Let g = 3.5 + -0.5. Suppose 2*n - 146 - 16 = 3*b, b = 3*n - 61. Let l be b/(-28) + -1 + -1. What is the closest to 1/4 in 3/5, g, l? 3/5 Let x be (4/2)/((-12)/(-9)). Suppose -4*q + 2*f + 13 = 39, q = -2*f + 1. Let t = 3.8 - 0.8. Which is the closest to 1? (a) q (b) x (c) t b Let p = 0.11 + -0.01. Let r = 1.4 - 1.33. Let y = r + -4.07. What is the nearest to p in y, 4, 0.5? 0.5 Let v = -2.2 - 1.8. Which is the nearest to 2/3? (a) 0.2 (b) v (c) 2 a Let n = -23 + 22. Which is the nearest to n? (a) -0.4 (b) 1 (c) -5 a Let z = 20 + -20.2. What is the closest to 3 in z, -1, 0.4? 0.4 Let z = -148 + 148.03. Which is the closest to 0.06? (a) -5 (b) z (c) 2 b Let h = 2 - 2. Let l = 3 - h. Let s = -0.1 - -0.2. Which is the closest to 2/7? (a) s (b) l (c) 5/3 a Let f = -5/14 + -3/70. Which is the closest to 2/7? (a) f (b) -2 (c) -5/2 a Let c = 17 + -12. Let t = -5 + c. Let x = -0.5 + 0.8. What is the nearest to t in x, -2/11, 0.2? -2/11 Suppos
{ "pile_set_name": "DM Mathematics" }
Three letters picked without replacement from {t: 9, u: 11}. Give prob of sequence uuu. 11/76 What is prob of sequence hiq when three letters picked without replacement from {q: 1, t: 1, h: 1, j: 1, i: 1}? 1/60 Three letters picked without replacement from {r: 2, o: 2, n: 5}. Give prob of sequence nno. 5/63 Calculate prob of sequence uevv when four letters picked without replacement from {v: 3, j: 1, r: 1, u: 4, h: 4, e: 1}. 1/1001 Four letters picked without replacement from qqolgg. Give prob of sequence oggl. 1/180 Two letters picked without replacement from llwlpowcwlw. What is prob of sequence lc? 2/55 Three letters picked without replacement from {e: 2, y: 1, s: 4, m: 1, z: 1}. Give prob of sequence eey. 1/252 Calculate prob of sequence fvcv when four letters picked without replacement from {v: 6, o: 7, f: 3, c: 1, w: 2}. 5/5168 What is prob of sequence tts when three letters picked without replacement from nnnccnnscntcctttcccu? 1/570 Three letters picked without replacement from iiiiiiiii. What is prob of sequence iii? 1 Calculate prob of sequence ea when two letters picked without replacement from {l: 1, f: 1, h: 1, e: 2, a: 2}. 2/21 Four letters picked without replacement from {x: 5, v: 3}. Give prob of sequence xxvv. 1/14 What is prob of sequence eseq when four letters picked without replacement from qbebqeebbs? 1/420 Three letters picked without replacement from {n: 1, k: 8, t: 1, y: 2, v: 3, z: 3}. Give prob of sequence yzk. 1/102 What is prob of sequence tvo when three letters picked without replacement from {n: 1, o: 2, t: 4, v: 1, m: 2, z: 4}? 1/273 Two letters picked without replacement from puuuppu. Give prob of sequence pu. 2/7 What is prob of sequence oowc when four letters picked without replacement from {s: 1, w: 7, o: 3, c: 1}? 7/1980 Three letters picked without replacement from wswwwswwswwwwwssww. What is prob of sequence wsw? 65/408 What is prob of sequence fcg when three letters picked without replacement from {o: 1, c: 5, i: 1, g: 2, f: 1}? 1/72 Three letters picked without replacement from {n: 4, l: 5, q: 2, u: 2, b: 7}. Give prob of sequence uqu. 1/1710 Calculate prob of sequence obo when three letters picked without replacement from ooooooooooobbooooooo. 17/190 Calculate prob of sequence wy when two letters picked without replacement from vvllyvcwwwlvlv. 3/182 Four letters picked without replacement from {i: 6, o: 1, f: 2, g: 1, j: 5}. Give prob of sequence fiio. 1/546 Calculate prob of sequence qie when three letters picked without replacement from {w: 2, q: 1, e: 1, i: 1}. 1/60 What is prob of sequence hnp when three letters picked without replacement from {p: 1, h: 1, a: 7, n: 5}? 5/2184 Two letters picked without replacement from {i: 1, e: 1, q: 1, d: 2, w: 1, m: 1}. Give prob of sequence dw. 1/21 What is prob of sequence je when two letters picked without replacement from xvyjjewxv? 1/36 Two letters picked without replacement from zkecwnz. Give prob of sequence nw. 1/42 What is prob of sequence jaa when three letters picked without replacement from {j: 2, r: 6, q: 2, a: 3}? 1/143 Calculate prob of sequence bzg when three letters picked without replacement from {g: 1, t: 2, b: 4, z: 2, s: 5}. 1/273 What is prob of sequence clmv when four letters picked without replacement from {l: 1, m: 4, c: 1, v: 2, o: 1}? 1/378 Three letters picked without replacement from gmmbbgmmmgmqmgm. What is prob of sequence mqm? 4/195 Calculate prob of sequence hqhs when four letters picked without replacement from {s: 3, w: 2, h: 6, u: 1, q: 2}. 15/2002 What is prob of sequence pe when two letters picked without replacement from {v: 1, p: 7, h: 2, e: 4, s: 4, r: 2}? 7/95 Calculate prob of sequence qy when two letters picked without replacement from {f: 1, z: 1, j: 2, y: 1, c: 1, q: 1}. 1/42 Four letters picked without replacement from {x: 3, z: 1, f: 6, w: 7}. What is prob of sequence wfxw? 9/680 Four letters picked without replacement from dyddnppfzzfppnn. What is prob of sequence nffy? 1/5460 Two letters picked without replacement from kgtgsysyttkvgs. What is prob of sequence gg? 3/91 Two letters picked without replacement from zvvvk. Give prob of sequence zv. 3/20 Four letters picked without replacement from {b: 1, j: 3, o: 5}. Give prob of sequence jbjo. 5/504 Calculate prob of sequence ooo when three letters picked without replacement from {o: 7, c: 1}. 5/8 What is prob of sequence ysrn when four letters picked without replacement from yxyarnnxs? 1/756 Four letters picked without replacement from atwkwk. Give prob of sequence wkaw. 1/90 What is prob of sequence bbb when three letters picked without replacement from cccbccccccccccbccb? 1/816 Four letters picked without replacement from {f: 5, d: 13}. Give prob of sequence fdfd. 13/306 Two letters picked without replacement from {e: 6, k: 12}. Give prob of sequence ke. 4/17 Three letters picked without replacement from {n: 1, g: 2, s: 2, v: 3, e: 1, j: 6}. What is prob of sequence jne? 1/455 Two letters picked without replacement from {a: 3, w: 13}. Give prob of sequence wa. 13/80 Calculate prob of sequence ur when two letters picked without replacement from {z: 1, q: 3, f: 1, y: 1, r: 2, u: 4}. 2/33 Two letters picked without replacement from revefvwkrvvev. What is prob of sequence vw? 5/156 Calculate prob of sequence sfff when four letters picked without replacement from {f: 3, u: 3, s: 1}. 1/140 Calculate prob of sequence dx when two letters picked without replacement from ddduedduuddddx. 9/182 What is prob of sequence yiyy when four letters picked without replacement from {i: 5, y: 13}? 143/1224 Three letters picked without replacement from {c: 1, b: 5, q: 4, r: 2, j: 2}. Give prob of sequence jjq. 1/273 Two letters picked without replacement from knbnninaa. Give prob of sequence kb. 1/72 Two letters picked without replacement from {c: 2, g: 2, h: 8, v: 4, u: 3}. What is prob of sequence vc? 4/171 Two letters picked without replacement from praxr. Give prob of sequence ax. 1/20 Two letters picked without replacement from {l: 4, q: 1, n: 1, o: 5}. What is prob of sequence lq? 2/55 Three letters picked without replacement from fffqffffq. Give prob of sequence fqq. 1/36 Calculate prob of sequence qbqq when four letters picked without replacement from {q: 5, b: 8}. 4/143 Calculate prob of sequence af when two letters picked without replacement from {a: 1, f: 1, s: 1, c: 2}. 1/20 Calculate prob of sequence jjl when three letters picked without replacement from llllllljlllljlj. 12/455 What is prob of sequence cehi when four letters picked without replacement from {n: 1, e: 1, i: 2, q: 1, c: 3, h: 3}? 1/440 What is prob of sequence vggg when four letters picked without replacement from vgggvv? 1/20 Calculate prob of sequence kss when three letters picked without replacement from {s: 2, k: 3}. 1/10 Three letters picked without replacement from {d: 1, k: 1, j: 3}. What is prob of sequence jdk? 1/20 Calculate prob of sequence mmii when four letters picked without replacement from {m: 3, i: 2}. 1/10 Calculate prob of sequence gvv when three letters picked without replacement from {v: 2, g: 6}. 1/28 Calculate prob of sequence uv when two letters picked without replacement from {a: 1, v: 1, e: 2, d: 2, u: 1, g: 2}. 1/72 Two letters picked without replacement from {r: 2, m: 4, x: 1, n: 2, l: 1}. Give prob of sequence xn. 1/45 Calculate prob of sequence sus when three letters picked without replacement from lullslulluluuu. 0 Calculate prob of sequence vat when three letters picked without replacement from avvtvavvt. 5/126 What is prob of sequence uau when three letters picked without replacement from uuuuuuaa? 5/28 Four letters picked without replacement from {h: 9, g: 1, s: 2, p: 2}. Give prob of sequence pgph. 3/4004 Calculate prob of sequence wwwp when four letters picked without replacement from {w: 6, p: 2}. 1/7 Calculate prob of sequence du when two letters picked without replacement from {d: 1, p: 2, u: 10, a: 7}. 1/38 Two letters picked without replacement from rakckyff. What is prob of sequence ra? 1/56 Three letters picked without replacement from {e: 1, v: 4, y: 3, z: 1, u: 4, q: 4}. Give prob of sequence euv. 1/255 Calculate prob of sequence wlu when three letters picked wi
{ "pile_set_name": "DM Mathematics" }
descending order. 14, 2, -2203 Put -0.3, 11/2, -0.132 in decreasing order. 11/2, -0.132, -0.3 Put -2073010, -4, 2 in increasing order. -2073010, -4, 2 Sort -5, -3/8, 3, 24, 6, -7 in ascending order. -7, -5, -3/8, 3, 6, 24 Put 64/7, 2, 0.03 in ascending order. 0.03, 2, 64/7 Sort -8343, 3, -2 in decreasing order. 3, -2, -8343 Put 68, 3, -52, -5 in descending order. 68, 3, -5, -52 Sort -9/2, -8, -0.73 in decreasing order. -0.73, -9/2, -8 Sort 5, -36, 4, 102, 3, 0 in descending order. 102, 5, 4, 3, 0, -36 Put -3, 10, 2937 in increasing order. -3, 10, 2937 Sort 248, 2, 0, -5, -2, -4 in increasing order. -5, -4, -2, 0, 2, 248 Sort -31152, 0, -1. -31152, -1, 0 Put -5, -643, 5, -2, 1 in ascending order. -643, -5, -2, 1, 5 Put -2, 5, 3, 66, 158 in ascending order. -2, 3, 5, 66, 158 Sort -0.01, 21473/5, 0 in increasing order. -0.01, 0, 21473/5 Put 1, -1026, -24, 0 in increasing order. -1026, -24, 0, 1 Sort 6, 97, -4073. -4073, 6, 97 Sort -3, -20, -2, 61, -4, 4 in ascending order. -20, -4, -3, -2, 4, 61 Sort 0.0543, 4, 5 in decreasing order. 5, 4, 0.0543 Sort 10, -1, 0, 3, -2026 in ascending order. -2026, -1, 0, 3, 10 Sort 5, 933, -47. -47, 5, 933 Sort -2/11, 0, 0.04, 2, -12, -6 in decreasing order. 2, 0.04, 0, -2/11, -6, -12 Put 1, -5, 2, 205, 10, -65 in increasing order. -65, -5, 1, 2, 10, 205 Put 9, 0, 21340 in descending order. 21340, 9, 0 Sort -24, 3, -143, -14. -143, -24, -14, 3 Sort -9, -3, 9, 1802, 2 in ascending order. -9, -3, 2, 9, 1802 Sort -7, 0.2002, -4 in descending order. 0.2002, -4, -7 Sort -8, 5/2, 0.04, 285, 12 in ascending order. -8, 0.04, 5/2, 12, 285 Sort -0.1, 0.01, -0.4, -3/302, -2 in ascending order. -2, -0.4, -0.1, -3/302, 0.01 Sort -3, 100, 1, 3, 5, -5 in decreasing order. 100, 5, 3, 1, -3, -5 Put -22, 16, -2, 5, 2 in increasing order. -22, -2, 2, 5, 16 Put 4, 487263, -2 in increasing order. -2, 4, 487263 Sort 0, -5, -19.903, -7/5. -19.903, -5, -7/5, 0 Sort -2, 27/41, 1, -1/5 in ascending order. -2, -1/5, 27/41, 1 Sort -2/7, -75/4, 4/3, 1/17, 3/4. -75/4, -2/7, 1/17, 3/4, 4/3 Sort -50287, -1, -2 in descending order. -1, -2, -50287 Sort 1, 134, 18, 0 in increasing order. 0, 1, 18, 134 Sort -1, -2/17, 1109. -1, -2/17, 1109 Sort 1/3, 3, 7949, -8 in ascending order. -8, 1/3, 3, 7949 Put 1/157, 5, -4, -3, 75 in descending order. 75, 5, 1/157, -3, -4 Put -2, -4, 55, 125, -8, -3 in descending order. 125, 55, -2, -3, -4, -8 Put -13, 20, 5, -4 in increasing order. -13, -4, 5, 20 Sort 96, -3, -2, -5, 1, -7. -7, -5, -3, -2, 1, 96 Sort 16.7, 0.02, -23, 0.08 in decreasing order. 16.7, 0.08, 0.02, -23 Sort 58, 0.18, 0, 5, -4/7 in decreasing order. 58, 5, 0.18, 0, -4/7 Put 2, -5, 66, -12 in decreasing order. 66, 2, -5, -12 Put 4, 5997, -1, 0 in decreasing order. 5997, 4, 0, -1 Sort 4, -2, 1, 2, -10863, -1 in ascending order. -10863, -2, -1, 1, 2, 4 Put -32, -1463, -5 in increasing order. -1463, -32, -5 Put -4, -9, -479 in descending order. -4, -9, -479 Put -2, 4, -3, -15, 1114 in decreasing order. 1114, 4, -2, -3, -15 Sort 57, -2, -96. -96, -2, 57 Sort 5, -1816, -5, -8 in descending order. 5, -5, -8, -1816 Put 20, 0, 2, 1, 485 in ascending order. 0, 1, 2, 20, 485 Put 1.2, -5, -3, -10, 0.5 in ascending order. -10, -5, -3, 0.5, 1.2 Put 91, -49, 111 in descending order. 111, 91, -49 Put -44, 1/5, 187/7 in increasing order. -44, 1/5, 187/7 Put -4.5, 1, -27, -1, 2/3 in ascending order. -27, -4.5, -1, 2/3, 1 Sort -2, 2.57293, 4. -2, 2.57293, 4 Put 7, 132, -41, 2/15 in descending order. 132, 7, 2/15, -41 Put -5, 4470, -20 in increasing order. -20, -5, 4470 Sort -2, 39551, 4, -5 in ascending order. -5, -2, 4, 39551 Sort 110355, -1, 5, 2 in descending order. 110355, 5, 2, -1 Sort 10, -26, -2, 3, -1, 1 in decreasing order. 10, 3, 1, -1, -2, -26 Sort 2, -2/11, -21, 7/12, 2/9, 7 in descending order. 7, 2, 7/12, 2/9, -2/11, -21 Put -1736, 3, 5, -74, -3 in descending order. 5, 3, -3, -74, -1736 Put 1/5, 1/19, -31.64 in increasing order. -31.64, 1/19, 1/5 Sort 5, 2, 827, 17 in increasing order. 2, 5, 17, 827 Sort 1, 53041, 5 in descending order. 53041, 5, 1 Put 0.4, 4/7, -392.07 in descending order. 4/7, 0.4, -392.07 Sort -2, -104, 28, 48 in increasing order. -104, -2, 28, 48 Sort -3, -3/4, -0.4015, 2, -6 in descending order. 2, -0.4015, -3/4, -3, -6 Put -1/13, -1, -4/5, 8 in increasing order. -1, -4/5, -1/13, 8 Sort 0.035, -0.2, -222, 0.1 in descending order. 0.1, 0.035, -0.2, -222 Sort 5, 3/4, -2.96, -0.01, 1/15 in increasing order. -2.96, -0.01, 1/15, 3/4, 5 Sort 1381, -67, 4 in increasing order. -67, 4, 1381 Sort -15, 0, 2317, -5 in descending order. 2317, 0, -5, -15 Put 6, -6, 2, -3, -2846 in decreasing order. 6, 2, -3, -6, -2846 Sort -4/5, 0.05, 2, 5/2, -358 in descending order. 5/2, 2, 0.05, -4/5, -358 Put 2, 22, 4037, -5, 1 in decreasing order. 4037, 22, 2, 1, -5 Sort 1, 6/41, -1/7, 2/11 in decreasing order. 1, 2/11, 6/41, -1/7 Put -5, 6, 1296, 4, 2, -4 in descending order. 1296, 6, 4, 2, -4, -5 Put -30, -1, -81702 in descending order. -1, -30, -81702 Put 2/6811, 4, -1, -4, 3 in descending order. 4, 3, 2/6811, -1, -4 Sort 7, 2, -1315 in ascending order. -1315, 2, 7 Sort 2/9, 780, 16. 2/9, 16, 780 Sort 3, -72, -5, 5, 11. -72, -5, 3, 5, 11 Sort 28/9, 3, 1/2 in increasing order. 1/2, 3, 28/9 Put -33, -6, -5, -2, -4, 62 in increasing order. -33, -6, -5, -4, -2, 62 Sort -4, 5, 136, 654, 3, -1 in ascending order. -4, -1, 3, 5, 136, 654 Sort -297, -3/17, 2/15 in decreasing order. 2/15, -3/17, -297 Sort 3, -3, -5943 in descending order. 3, -3, -5943 Sort 0.4, -0.215, -1/4, -7 in descending order. 0.4, -0.215, -1/4, -7 Sort -183, 0.3, -5, -6, 1, 0.6. -183, -6, -5, 0.3, 0.6, 1 Put 5.1, 4, -6, 3/4 in descending order. 5.1, 4, 3/4, -6 Put 4, -23484, 5 in ascending order. -23484, 4, 5 Sort -5, -2935, 1, 2. -2935, -5, 1, 2 Put -11103, 1, 6 in ascending order. -11103, 1, 6 Sort 4/3, 0.5, -4/5, -5, 0.17, -4 in increasing order. -5, -4, -4/5, 0.17, 0.5, 4/3 Put -426, -2, 9, 4, -1 in decreasing order. 9, 4, -1, -2, -426 Sort -1, -669, -50. -669, -50, -1 Put -0.4, 4, 0.2, -0.2, -13.7 in decreasing order. 4, 0.2, -0.2, -0.4, -13.7 Put -4/5, 2/5, 348/5, 1, 0.2, -2 in decreasing order. 348/5, 1, 2/5, 0.2, -4/5, -2 Sort -18/5, -1/146, -2/5 in increasing order. -18/5, -2/5, -1/146 Put -112, -477, -5 in increasing order. -477, -112, -5 Put 0, -2154, 243 in decreasing order. 243, 0, -2154 Put 1, 125163, -0.8 in descending order. 125163, 1, -0.8 Sort -1/3, 0.03, -4, -64/3 in descending order. 0.03, -1/3, -4, -64/3 Put 2/5, 4, -4, -3, -0.0593, 277 in ascending order. -4, -3, -0.0593, 2/5, 4, 277 Put -5, 64, 19, 2, 45 in decreasing order. 64, 45, 19, 2, -5 Sort -602, 1, 0.23, 3. -602, 0.23, 1, 3 Sort -147, 1, -1, 0, -299 in descending order. 1, 0, -1, -147, -299 Sort 859, -5, 5 in decreasing order. 859, 5, -5 Put -3/5, 15302, -3 in descending order. 15302, -3/5, -3 Sort 17, 3, 2, 9, -1, -12. -12, -1, 2, 3, 9, 17 Sort -124, -222, 2, -1, 5 in ascending order. -222, -124, -1, 2, 5 Sort -255, -374, -2, -3/4 in decreasing order. -3/4, -2, -255, -374 Put 5/3, -15/2, -51, -2, -1 in descending order. 5/3, -1, -2, -15/2, -51 Sort -155, -16, -48 in increasing order. -155, -48, -16 Put -1, -0.5, 413, -2, 36 in ascending order. -2, -1, -0.5, 36, 413 Sort 2.6, 0, -34, 1.3, -0.7 in increasing order. -34, -0.7, 0, 1.3, 2.6 Sort -5, -1, 110998 in descending order. 110998, -1, -5 Put -12/29, -1/193, -2/17 in descending order. -1/193, -2/17, -12/29 Sort 30, 5, 0, -196, -22 in decreasing order. 30, 5, 0, -22, -196 Put 243, -4, 26 in descending order. 243, 26, -4 Put -2, 1.1, -18.5, 2 in decreasing order. 2, 1.1, -2, -18.5 Put 46, 307, -6, 5 in descending order. 307, 46, 5, -6 Put 9, 23, 1914, -3 in decreasing order. 1914, 23, 9, -3 Put 3, -105, 4, -4, 31 in decreasing order. 31, 4, 3, -4, -105 Sort -0.07, -86, -3, 6, -3/7, 1/11 in decreasing order. 6, 1/11, -0.07, -3/7, -3, -86 Sort 2107, 2, 12. 2, 12, 2107 Put 8.204, 4/9, -2 in ascending order. -2, 4/9, 8.204 Put -510/247, 8, 3/4 in increasing order. -510/247, 3/4, 8 Sort 39, -6, -0.5, -299. -299, -6, -0.5, 39 Sort -26, 3, 28, 4 in decreasing order. 28, 4, 3, -26 Put 0, 5, -4, -17, -65, 4 in descending order. 5, 4, 0, -4, -17, -65 Sort -1/3, -1, -4, 31/17, -2/9, 12 in ascending order. -4, -1, -1/3, -2/9, 31/17, 12 Put -2, -67, -0.4, 400 in de
{ "pile_set_name": "DM Mathematics" }
- 16 = -0*k for k. -4 Let n be (950/95)/(((-50)/48)/(-5)). Solve -7*x = -34 + n for x. -2 Let m = 3196 - 3147. Solve -m*q + 25*q + 120 = 0 for q. 5 Suppose -4*y = -3*r - 97, -2*r + 38 = 26*y - 25*y. Solve 340 + y = 92*u for u. 4 Let y be -1*2/(-4 - -5). Let n be 20/y*(4/10 + -1). Let x = -12 + 16. Solve 2*t = x + n for t. 5 Let i(d) = 128*d**2 + 8*d + 6. Let y be i(-1). Let s = 131 - y. Solve 5*r + 20 = s for r. -3 Let d = 183 + -167. Let f(r) = r**3 - 10*r**2 + 9*r + 7. Let i be f(9). Suppose 0 = p - i + 2. Solve p*o - d = o for o. 4 Let w be (0 - 0)/(-21*(-29)/203). Solve w = 7*g - 17*g + 40 for g. 4 Suppose 9*c = -o + 5*c + 102, -2*c = 8. Let r = 124 - o. Solve 0 = 3*d - r + 3 for d. 1 Let p(f) = 3*f**3 - 9*f**2 + 25*f - 166. Let y be p(6). Solve 323*m = y*m - 30 for m. -2 Let m(x) be the second derivative of -x**4/12 + 4*x**3 - 65*x**2 - 203*x. Let f be m(9). Solve -f = -6*i - 11 for i. -1 Let x = -32 + -81. Let y = -98 - x. Suppose 11*r = 8*r + y. Solve r*z - 19 + 4 = 0 for z. 3 Suppose -2*f - 2 = -u, 0*u - 3 = -5*u + 3*f. Solve -4*g + 63 - 55 = u for g. 2 Suppose 0 = 3*i + 5*h - 140, -8 = 2*h + 2*h. Let d(w) = w**2 + 3105*w - 18661. Let x be d(6). Solve x*j = i - 70 for j. -4 Let p(d) = 0*d - 2*d + 26 + 0*d. Suppose -5*j + 5 = 0, i - 13 = -18*j + 17*j. Let v be p(i). Solve 0 = -0*f - f + v for f. 2 Let b(g) = -30*g - 40. Let o be b(7). Let t = o - -252. Solve 0 = -t*d - d - 15 for d. -5 Suppose 275*m - 546*m - 8568 = -299*m. Solve -23*h - 214 = -m for h. 4 Suppose v - 60 = -4*w + 5*v, 0 = v + 3. Suppose 15*s = w*s + 12. Solve 2*z - s = -2*z for z. 1 Suppose -6*c + 5*c = -5*h - 37, 0 = -h - 1. Suppose c - 32 = 26*l. Solve l = 5*r - 4*r - 5 for r. 5 Let o(q) = q**2 + 15*q + 31. Let p be o(-2). Let y be (-9)/(-6)*64/24. Suppose p*d - 5 = -t, -3 + y = d. Solve 5*s - 2 - 3 = t for s. 1 Suppose 4*h - 31 = -5*b, 13*h - 14 = -2*b + 11*h. Solve 0 = -b*l + 4*l + 1 for l. -1 Let a be 18/3 - -1*21. Solve 0 = a*d + 4*d + 93 for d. -3 Suppose 0 = 78*u - 3*u. Solve u = 10*v - 64 + 34 for v. 3 Suppose -1 = 15*d - 14*d. Let p be 1*4 + (-3)/1*d. Suppose -4 = -2*x, -3*x - 1 = -3*m - p. Solve m = t - 3 + 5 for t. -2 Let o(f) = f**2 + 5*f + 3. Suppose 8*m = 4 + 20. Let l(q) = 3*q**2 + 14*q + 8. Let u(w) = m*l(w) - 8*o(w). Let r be u(-2). Solve 3*v - 7 - 2 = r for v. 3 Let y = -25503 + 25519. Solve -y*o + 162 = 146 for o. 1 Suppose -3*q = 5*j + 24, 5*q - 3*j + 9 = 3. Let b be 2 - (q + 4) - -4. Suppose 5*f = b*o - 45, 2*o + 3*f + 3 = -o. Solve -3 = o*z + 9 for z. -3 Let g be 4 + 312/18 + (-1)/3. Suppose -g*d + 384 = 3*d. Solve -3*w = -7*w + d for w. 4 Let f = -353 - 159. Let h = 517 + f. Solve 34 = -h*w + 14 for w. -4 Suppose -7*l + 25 = 25. Solve l = -35*i + 15*i - 120 for i. -6 Suppose 19*b = -12*b + 8990. Suppose 289*r + 84 = b*r. Solve 2*m - r + 84 = 0 for m. 0 Let m be 672/147 + (-8)/14. Let w = -11 - -14. Suppose 0 = u + b - m, 5*b = 3*u + w*b + 8. Solve u = 5*l + 10 for l. -2 Suppose -3*u = 2*w + 41, 44 - 64 = 4*u. Let v be 4 + (42/(-7) - w). Solve -1 - v = -4*p for p. 3 Suppose 9*m - 7*m = 84. Let y = m + -27. Suppose 6*p - y - 27 = 0. Solve -p*k = -2*k for k. 0 Let c be 4/(6/(-7 - -1)). Let w be (16/20)/(c/(-50)). Solve -4 = -w*o + 8*o for o. 2 Let s(n) = -2*n - 2. Let l be s(-2). Let k be (40/(-15) - -3)/(31/93). Suppose -l*m - k = -11. Solve -y = -4 + m for y. -1 Suppose 0 = -129*j + 113*j + 256. Let p be (120/j - 7)*10. Solve -9*z + p = -8*z for z. 5 Let h(w) = -w**2 - 7*w + 33. Let y be h(-10). Suppose -5*m = d - 2*m - 67, -y*m - 389 = -5*d. Let n be (-2)/(-4) + -3*d/(-24). Solve 0 = 5*l - n + 25 for l. -3 Let l(q) be the second derivative of q**5/10 - 3*q**4/4 - 19*q**3/6 + 9*q**2/2 - 111*q. Let p be l(6). Solve p*n + 11 - 26 = 0 for n. 5 Let j(p) = 20 - 4*p - 1 - 1. Let t be ((-170)/(-51))/((-10)/(-12)). Let o be j(t). Solve o*x = -x for x. 0 Let i(w) = 7*w - 14. Let x be 2/25*-5*(-4 + -1). Let a be i(x). Let v(t) = 2*t**2 + 3*t + 2. Let q be v(-2). Solve a*u - q = -u for u. 4 Suppose -10*l + 57 = -22 - 41. Solve l*k + 36 = -0*k for k. -3 Suppose 27*c - 857 + 857 = 0. Solve c = 16*o - 74 - 38 for o. 7 Suppose 3*r - 7 = 17. Let g = -3 + r. Let v = 151161 - 151147. Solve -v = -g*m + 6 for m. 4 Let c(m) = m**2 - 6*m - 21. Let n(y) = y**2 - 6*y - 20. Let v(l) = 4*c(l) - 5*n(l). Let b be v(8). Let g be 1 + b + -3 + 4. Solve g = -o - 0*o for o. -2 Let w = 15 + -8. Suppose 30*a + c = 31*a - 6, 0 = -4*a - 4*c - 16. Solve 0 = -4*g + w + a for g. 2 Let p be (3/(-2))/((-3)/6). Let n be 1*-3 + (-7)/(35/(-150)). Let t = n - 26. Solve -2*b - t = -p*b for b. 1 Let l(z) = 2*z + 68. Let d be l(-5). Suppose 0 = -4*x - p + d, 2*x = x - p + 13. Solve -6*r + r = x for r. -3 Let p(n) = -3*n + 39. Let k = 169 + -156. Let h be p(k). Solve -5*g + 25 = -h*g for g. 5 Let m be (3 + 3/(-2))/(165/550). Solve 0 = -36*x + 37*x - m for x. 5 Suppose 46*j - 112*j + 5016 = 0. Solve 124*w - 172 = j for w. 2 Suppose f = -3*d + 10, 2 = d - 0*f + f. Let k = -132 + 132. Suppose k = 3*p - 4*j + 14, -15 = -d*j + j. Solve 6 = -p*s - 0 for s. -3 Let f be (-426)/(-16) + 3/8. Solve -12*n - 13*n = -f*n for n. 0 Let g(a) = 27*a - 316. Let s be g(12). Solve 34 = -7*r - s for r. -6 Let b = -1080 + 1093. Solve 70 = -b*u + 27*u for u. 5 Let z = 394 + -128. Let m = z - 254. Let c = 17 + -17. Solve m*g - 10*g = c for g. 0 Let n be -5 + (-34)/((-6)/3). Let b(a) = -a**3 + 14*a**2 - 24*a + 4. Let q be b(n). Solve 1 = q*u - 3 for u. 1 Let f(r) = -r**2 + 12*r + 15. Suppose 4*z = z - 5*j - 83, -4*j = -3*z - 74. Let n be (63/(-21))/(6/z). Let y be f(n). Solve -m = y*m for m. 0 Suppose -3*f + 22 = 3*c - 5, 3*c - 23 = -2*f. Let m = 6 + 5. Suppose t = 3*p + m, -p = t - 0 + 1. Solve f*d = t + 6 for d. 2 Suppose 3*y = 3*c - 18, 26*c - 31*c - 4*y + 57 = 0. Solve 29*p = c*p + 100 for p. 5 Let z be (10/(-12) + 52/39)*414. Let g = z - 204. Solve 2*t = -g*t - 25 for t. -5 Let a be -3*(5/(-3) + 1). Let n be ((-24)/10)/3*115/(-46). Suppose 6 = n*l, 5 = -2*m + 2*l - 1. Solve a*g + m = 8 for g. 4 Let n = 239 - 236. Suppose -5*q = 4*c - n*c - 84, -3*q = -c - 52. Solve q = -5*p - 8 for p. -5 Suppose 149 = 4*v + 3*g + 99, -5*v + 65 = 5*g. Solve -v = 16*j + 69 for j. -5 Let n be 18*((-10)/(-2))/(-10). Let b be (-5 - (n - -7))*10/(-3). Solve -3*p - b = -p for p. -5 Let g(h) = h**2 + 14*h + 25. Let o be g(-5). Let k(a) be the first derivative of a**2/2 + 20*a + 2. Let u be k(o). Solve u = -9*y + 7*y + 4 for y. 2 Let l(q) = -6*q**3 - 2*q**2 - q. Let r be l(-1). Suppose -25 = -r*m + 5*k, 4*m = -k + 3 + 2. Solve m + 8 = 5*p for p. 2 Let d(u) = 3*u**2 + 25*u + 64. Let v be d(-6). Solve v - 2 = 10*q for q. 2 Suppose -6*m = -8*m + 8. Suppose 0*k + m*n = 3*k, n - 3 = 0. Suppose -k*o + 21 = 3*c + o, 5*c + o = 13. Solve c*u - 3 = 1 for u. 2 Suppose -10*i + 1062 = 812. Solve 120 = -i*n + n for n. -5 Let j be (-2208)/(-56)*(-42)/(-4). Let f = 293 - j. Let a = -121 - f. Solve a = 4*z - 3*z + 3 for z. -3 Suppose -5*c + c = -400. Suppose 0*g = 5*g - c. Let f = 13 + -6. Solve -2*b = -f*b - g for b. -4 Let a(s) = s**3 - 4*s**2 + 21*s - 111. Let r be a(6). Solve -15*n - 14*n - r = 0 for n. -3 Let b = 733 + -717. Solve -124 = -b*t - 60 for t. 4 Let o = 137 + -227. Let k be (-120)/o*3/4. Solve -4*v = 5 - k for v. -1 Suppose 3*b = 9 - 0. Let t be (b - 3)/4 - -2. Let l(y) = -y**2 + 12*y. Let u be l(12). Solve d + t*d = u for d. 0 Suppose 4*y = -o - 290, 3*y = -80*o + 81*o - 214. Let p = y + 73. Solve -6*f - p = -13 for f. 2 Suppose 99 - 42 = 3*b. Let r = 32 + -16. Solve -o + r - b = 0 for o. -3 Let f = -169 - -172. Suppose -f*d + d + 4 = 0, 3*d - 10 = -2*c. Solve 6*u = 7*u - c for u. 2 Suppose -31*a + 27*a + 4*v + 436 = 0, 3*a = 5*v + 325. Let m = a + -71. Solve m - 33 = -2*y for y. -3 Suppose 19*b = -6975 - 11873. Let f be (-3)/5 + 15/((-300)/b). Solve -8*m - 17 = -f for m. 4 Suppose 0 = -3*j + 5*t + 42 + 7, 50 = 5*j - 2*t. Suppose j*i = -3*u + 10*i + 15, -2*u + i = -11. Solve 0 = -u*x + x + 18 for x. 3 Let s(x) = x - 10. Suppose -2*t = 2*q - 3*t - 30, -4*q - 5*t + 32 = 0. Let l be s(q). Let i be (-3)/5 - (-12)/(-20)*-1. Solve i = -l*g + g + 10 for g. 5 Suppose i = w - 8, 0 = -39*i + 34*i + 10. Solve w*q - 76 = 29*q for q. -4 Let q = -54 - -58. Let c be -1 + q + -1 + 13. Suppose 0 = m - 0*m + 2*p - 10, -p = -4*m + 13. Solve m*b + c = -5 for
{ "pile_set_name": "DM Mathematics" }
-7372. Solve -114 = -46*m + f*m for m. 3 Let y = -12 + 20. Suppose 58*o - 9*o - 686 = 0. Suppose -18*p = -o*p - 6*p. Solve p = 5*f - y - 7 for f. 3 Suppose 6*p - 8*p - 40 = 0. Let i(y) = 2*y**2 + 38*y - 30. Let b be i(p). Suppose -2*n - 4 = -b. Solve 0*w - n = -w for w. 3 Let l be (0 - -4)/(6/39). Suppose -125 - 85 = -42*f. Solve -f*z + l = 6 for z. 4 Let w be (5*-26)/2 + (5 - 2). Let k = -54 - w. Let z(m) = m**2 + 8*m + 3. Let p be z(-8). Solve k - p = -5*b for b. -1 Let m(c) = c**2 - 19*c - 37. Let g be m(-2). Suppose g*d + 5 = 5*l - 10, -2*l - 2*d = -10. Solve -7 = l*z + 9 for z. -4 Let v(w) = -2*w**3 + 13*w**2 - 3*w - 10. Suppose 2 - 68 = -11*h. Let c be v(h). Solve b = -3*b + c for b. 2 Let x = -7280 + 7298. Solve 0 = -51*n + 54*n - x for n. 6 Suppose 5*u + 3*p - 249 = 0, -32*u - 5*p - 129 = -35*u. Solve 1071*n + u = 1079*n for n. 6 Let l = -74572 - -74589. Let q(o) = -2*o - 1. Let f be q(-2). Solve 4*k - l = f for k. 5 Suppose 0 = 4*w + 4*l + 20, -5 = 4*w - 8*w + l. Suppose 4*m - 16 = -w*m. Suppose -8*d - 21 = -3*b - 3*d, -m*b = 2*d - 2. Solve -6*f - b = -4*f for f. -1 Suppose 27*d + 6*x + 194 = 29*d, -5*x = d - 73. Solve w + d = 89 for w. 1 Suppose -6*n - 21 = -2*d - d, 0 = -2*n - 2. Solve d*m - 73 + 58 = 0 for m. 3 Suppose -41 = 7*q - 6. Let d be 1 - (1 - 2) - (-51 + q). Let n = -54 + d. Solve -i - 10 = n*i for i. -2 Let h = -719 - -719. Suppose 0 = 18*j - 16*j + 5*p - 61, -3*j - 5*p + 89 = h. Solve -j*n = -27*n for n. 0 Suppose -3*w - r + 79 = -2*w, -w - 4*r = -79. Suppose -4*i = -a - 64, 0 = 5*i - 6*a + 5*a - w. Solve 0 = -2*m - m + i for m. 5 Suppose -570 = -3*c - 3*c. Let g = 110 - c. Suppose -16*z - g = -21*z. Solve -z*q = q + 16 for q. -4 Let x = -2365 + 2382. Solve 6*s + x = 41 for s. 4 Let y(c) = -c**2 - 133*c + 1132. Let i be y(-135). Solve 8*z + 902 = i for z. -5 Let r = -9824 + 9859. Solve 0 = 5*l + r - 75 for l. 8 Suppose 0 = -3*l + 21*z - 24*z + 1290, 860 = 2*l - 4*z. Solve 421*s - 72 = l*s for s. -8 Suppose -n = -0*n - 5. Suppose 0 = -2*f + 4*r + 4, 8 = 4*f - 3*r + n*r. Let y(s) = s**3 - 18*s**2 + 29*s + 60. Let o be y(16). Solve 4 = -f*d + o for d. 4 Let o(n) = 3*n**2 - 21*n + 15. Let h be o(14). Solve -307*y = -h*y for y. 0 Let g(q) = -q**2 - 11*q + 4. Let o(t) = 25*t - 2. Let x be o(4). Suppose 10 = 8*h + x. Let k be g(h). Solve -6 = k*p + 14 for p. -5 Let y = -5766 - -5793. Solve 25*z = y*z for z. 0 Let i = -5377 + 5395. Solve -14*c - i - 52 = 0 for c. -5 Let i = -3501 + 3506. Solve i = 7*v - 30 for v. 5 Let i = 2 - 1. Let a = 0 + i. Suppose -r - j + 22 = 19, 0 = -0*j - 2*j. Solve p - r = a for p. 4 Suppose -23*p - 18*p + 81*p - 1320 = 0. Solve -31*d - p = -64 for d. 1 Let d be -3*6*(-4)/18. Suppose -p - 4*p + b = 4, 0 = -4*p + d*b. Let n be 6/4 + 2/(-4)*p. Solve k + n = -0 for k. -2 Let d = 10719 + -10698. Solve 7*q - d = 4*q for q. 7 Let i(v) = -v**2 - 3*v + 7. Let d = 226 - 336. Let l = -114 - d. Let y be i(l). Solve 7*s = y*s for s. 0 Suppose 2*z = -z + 177. Suppose -15*k = -z - 16. Suppose 0 = -4*g + q + 4 - 0, 0 = k*q - 20. Solve -3*h = -g*h - 4 for h. 4 Let g be (1/(-4))/(68/(-4352)). Solve 0 = -g*j + 22 + 10 for j. 2 Let l(h) = -4*h + 28. Let w(k) = 6*k + 5. Let j be w(0). Let r be l(j). Suppose 1 = 3*c - r. Solve -t = c*t for t. 0 Let j = -277 + 284. Suppose 6*s = 2*s + 16. Suppose -5*n = -j*n + s. Solve b + 5 = n*b for b. 5 Let t = 370 + -244. Let y be t/(-24)*(-4)/3. Solve 20 = -3*z + y*z for z. 5 Suppose -7590 = 9*l - 39*l. Let r = l + -239. Solve -r + 2 = 4*d for d. -3 Let b be (-18)/(-10) - (-8 + (-390)/(-50)). Suppose -5*d + 0*f = -5*f - 50, -b*d + 4*f + 22 = 0. Solve -q = -d*q + 3*q for q. 0 Suppose -5 = -2*i + 65. Suppose 19*h = 14*h + i. Solve -6*v = -h*v - 5 for v. -5 Suppose -z - 7*g + 4*g = -5, 0 = -z + 2*g - 15. Let m(o) = -2*o. Let t be m(1). Let y be 0/t + (-4 - z). Solve p - y*p + 2 = 0 for p. 1 Suppose 4*k = 4*w - 32, 0 = 42*w - 44*w + 4*k + 16. Let m be -2*(-1 - 2/4). Solve -4 = m*r + w for r. -4 Let l(b) = -b - 5. Let w be l(-5). Suppose -14 - 418 = -36*n. Suppose w*t = 3*t - n. Solve 0 - t = 4*x for x. -1 Let k be 2/(-12) - (341/(-66))/31. Let q be k - -11 - 126/14. Let c = 16 - 9. Solve -q*n = -c*n for n. 0 Suppose -37*k + 19 = 2*u - 36*k, -2*u + 3*k + 15 = 0. Solve 14*s - u*s = -25 for s. -5 Let l(f) = -8*f + 8 + 5*f + 4*f. Let d be l(-4). Suppose 5*n = -d*t + 22, -2*n + 3*t - 12 = -5*n. Solve 4*k = 22 - n for k. 4 Let g be 110/(-6) - 3/(-9)*1. Let i be 2*-4*(-5 + g/(-4)). Suppose -19 + 11 = 3*d - i*q, -3*d - 10 = -5*q. Solve d = -4*w + w + 3 for w. 1 Let c(q) = q**2 - 8*q - 8. Let v be c(-1). Suppose -1 + v = 10*o. Let h be ((-39)/(-9) - 3)*3. Solve 3*m + m + h = o for m. -1 Let h = 153 - 77. Let c = 76 - h. Suppose -4*s + 4*i + 8 = -3*s, c = 3*s + i + 2. Solve -u = -s*u for u. 0 Suppose x = c - 19, 5*x = c - 6*c + 55. Let s(m) = -2*m - 7. Let y be s(-5). Let z(a) = -a + 10. Let h be z(y). Solve -h*q - c = -2*q for q. -3 Suppose 5*x = -10, -4*x + 11 + 11 = 2*g. Suppose -g*f + 16*f = -5. Let k = -4 - f. Solve -4 = -3*s - k for s. 1 Suppose 19*q - 435 = 1009. Solve 22*k - q = 3*k for k. 4 Let i = -10 + 11. Suppose 3*v = -3*l - 27, 4*v + 15 = -2*l - 13. Let m be (v - (0 - i))/(16/(-24)). Solve 2 - m = 4*q for q. -1 Let g be ((-32)/(-48))/(1/(-18)). Let m be (-1325)/(-150) + 10/g. Solve -46 + 14 = m*j for j. -4 Let s(p) = p**3 + 8*p**2 + 7*p - 3. Let t be (-3)/5*2*5. Let y be s(t). Suppose 6*r - y - 9 = 0. Solve 2*i = r*i + 4 for i. -1 Let x = -6 + 6. Let k be 2 - (60/(-25) - (-2)/5). Suppose -3*m + 17 = k*w, -2*m + 2*w + 0 = -2. Solve -m*c - 2*c - 20 = x for c. -4 Let y = -30528 + 30503. Let j be (-2 - -3)/(2/(-10)). Let b be (-6)/j*y/(-10). Solve -b*f - 5 = 7 for f. -4 Let n be ((-232)/(-120) - (-4)/10)*3. Solve 185 = n*h + 30*h for h. 5 Let n be 600/80 + 1/(0 + -2). Let m(b) = 3*b - 15. Let v be m(6). Solve v*f - 8 - n = 0 for f. 5 Let o = -4070 - -4589. Solve 0 = -2*a + 525 - o for a. 3 Suppose -r - 4*r = 20, 3*p - 6 = -3*r. Solve 617 = -p*y + 587 for y. -5 Let z(h) = 18*h + 78. Let j be z(-3). Suppose -3*a + j = 21. Solve a = 57*l - 56*l for l. 1 Let u(o) = -o**3 + o**2 - o + 35. Let a be u(0). Solve 56*f = a*f - 105 for f. -5 Let p(h) = -h**3 + 12*h**2 - 25*h + 201. Let x be p(8). Solve 0 = -14*a - 271 + x for a. -1 Let w(v) = v**2 - 98*v + 480. Let m be w(93). Suppose 3*u + u = 20. Solve -20 = -u*x - m for x. 1 Let r = -5274 + 5279. Solve -12 = r*h - 8*h for h. 4 Let w = -9691 + 9692. Let r be 0*1*(-3)/9. Let f be r/1*3/6. Solve d - w + 2 = f for d. -1 Let f be (-22)/(((-152)/15 - -10)*5). Solve 179 + 52 = f*j for j. 7 Let o(t) = -4*t**2 + 7*t + 75. Let v(s) = -3*s**2 + 6*s + 74. Let k(d) = -2*o(d) + 3*v(d). Let b be k(10). Solve b - 13 = -u for u. 1 Let q = -1840 - -1855. Solve -q*i + 29 = 14*i for i. 1 Suppose 0 = k + 2*v - 35, 0 = 81*k - 77*k + 4*v - 128. Solve -k = -5*q - 14 for q. 3 Suppose 80*f - 75*f + 4*z = -18, 4*f - 36 = 4*z. Solve 261*m - 263*m = -f for m. 1 Let d(w) = -11*w + w**2 + 20*w - 12*w. Let a be d(3). Solve 0 = -a*g + 5*g for g. 0 Suppose 0 = 5*u - 3*a - 552, 33 + 80 = u + 2*a. Suppose 0 = u*o - 101*o - 60. Solve -16 = -o*q + 2*q for q. 4 Let v(q) = -q**3 + 10*q**2 + 299*q - 2464. Let u be v(8). Solve 0 = 12*d + 104 - u for d. -4 Suppose -2*c - 86 + 2 = -q, 24 = -4*c. Solve q*n = -38*n - 880 for n. -8 Let t(p) = 38*p + 2906. Let j be t(-65). Solve 26*g = 280 - j for g. -6 Suppose -9*i = 33*i - 336. Solve -88 = -i*a - 80 for a. 1 Let d be (-16)/28*(-3 + 3 - 7). Suppose b = -d + 19. Solve -b = -7*p + 4*p for p. 5 Let y(a) be the third derivative of a**6/720 + a**5/120 + 25*a**4/24 - 2*a**2. Let m(v) be the second derivative of y(v). Let c be m(3). Solve -h = h + c for h. -2 Suppose -4*p = -5*p + 64. Suppose -5*g = -g + 4*k + p, 5*k = 3*g + 8. Let u(m) = -m**2 - 12*m - 6. Let b be u(g). Solve b*i = i for i. 0 Let c be ((-52)/18 - -2)*135/(-30). Suppose c*w - 16 = -12. Solve -w = 4*z + 3 for z. -1 Let t(i) = -i**2 - 7*i + 9. Let a be t(-8). Let l be (-208458)/(-15963) + 1/(-17). Solve -3*p = -a + l for p. -4 Let k = 105 + -117. Let i be (-22)/(-30)*6 + k/(-20). Solve 0 = i*a - 5 - 10 for a. 3 Suppose -5*t = c + 29, 0 = -0*c + c - 3*t - 3. Let w be (-4)/(-1 - ((-48)/c - 5)). Solve v + w*v = 12 for v. 3 Let n(d) = 161*d + 4677. Let b be n(-29). Solve 10*x = -b*x +
{ "pile_set_name": "DM Mathematics" }
Let i = -0.48671 + -0.01329. Let c = 1 + -1.05. Sort i, c, 1/5 in descending order. 1/5, c, i Suppose d = 5*h + 14, -5*d = h + 2*h + 14. Let t = -3 - d. Let r = -209.7 + 210. Sort 5, r, t in descending order. 5, r, t Let g = -61 + 75. Suppose 7*z = 9*z - g. Put z, -2/11, 0.4 in ascending order. -2/11, 0.4, z Let o be (-26)/(-91) + (-24)/(-14). Let y be (-4)/8*3/o. Put 0, y, 5 in descending order. 5, 0, y Suppose -m - 2*m = -l - 7, l - 13 = -2*m. Let x be (-10)/m*(-16)/(-180). Sort -5, 2, x in descending order. 2, x, -5 Suppose -5*t = 5*o + 28 + 17, 2*o - t + 3 = 0. Sort 1/21, -0.4, o, 5/4. o, -0.4, 1/21, 5/4 Let v(t) = -t**3 - 18*t**2 - 15*t + 17. Let j be v(-17). Let u(o) = 2*o**2 + 35*o + 13. Let y be u(j). Sort 6, y, 3 in descending order. 6, 3, y Let r = -0.03 - -1.13. Let s = -0.1 + r. Let n = 16 + -14. Put n, 1/5, s in ascending order. 1/5, s, n Let w = 15.6 - 0.6. Let t = w - 15. Let f be ((-1)/(-2))/(14/4). Put f, -0.5, t in decreasing order. f, t, -0.5 Let h = 73 - 69.3. Let q = h - 3.9. Put -5, -3, q in ascending order. -5, -3, q Suppose 0*p = -49*p + 98. Put -4, -5, -6, p in ascending order. -6, -5, -4, p Let s(d) = 4*d - 28. Let l be s(11). Let c = 20 - l. Sort 3, -6/13, c in ascending order. -6/13, 3, c Let g(p) = 3*p**2 - 3*p - 3. Let q be g(4). Let m = 17 - q. Let a = 12 + m. Sort 2, 1, a in decreasing order. 2, 1, a Suppose -8*x + 117 = 125. Sort x, 3, -7. -7, x, 3 Let z be (-8)/10*(39/6 + -4). Let s be -22 + 2 + -2*1. Sort s, z, -3 in decreasing order. z, -3, s Let a = -161 + 159. Suppose 2*t + 10 = 7*t. Suppose -4*d = -n + 16, -t*n = -5*d + n - 20. Sort d, a, 6. d, a, 6 Let q be 747/415*20/(-3). Let d(m) = -5*m**2 + m. Let b be d(1). Sort q, b, 1. q, b, 1 Let w = 67 + -67.2. Sort w, -4, -0.47, -5 in ascending order. -5, -4, -0.47, w Let q = -151 + 147. Put q, 16, -3 in increasing order. q, -3, 16 Let h be (-885)/1320 - (-12)/22. Sort -5, 2, h, -186. -186, -5, h, 2 Let j = 0.0204 + -0.1204. Sort 2/27, 13, j in descending order. 13, 2/27, j Let u = 141 + -708/5. Let m = -34 - -28. Let x = m + 6. Sort x, u, 2. u, x, 2 Let m(p) = p. Let o(h) = -2*h + 1. Let k(i) = m(i) - o(i). Let j be k(1). Let b be ((-232)/(-24) + -9)/((-10)/(-9)). Sort j, 0.5, b. 0.5, b, j Suppose 94*d = 93*d + 3. Sort 8, 0, d in decreasing order. 8, d, 0 Let w = -0.031 - 0.469. Sort w, 0.03, -6, -4/7 in decreasing order. 0.03, w, -4/7, -6 Suppose 0 = -2*g + 4*i + 16, -61 = -5*g + 4*i - i. Let z(t) = -t + 4. Let h be z(g). Let u be (-18)/(-40) - (-2)/h. Sort 5, -1, u in descending order. 5, u, -1 Let x(c) = c**3 + 11*c**2 - 6. Let i be x(-11). Let w be (-8)/(-4)*(i + 5). Put 3, -5, -4, w in increasing order. -5, -4, w, 3 Suppose -4*y - 4 = v + 23, 3*y + 24 = -2*v. Let x(g) = 79 + 36 - 115 + g. Let z be x(y). Put -4, 2, z in decreasing order. 2, -4, z Suppose -5*h = -3*u - 0*h + 40, 0 = -2*u + 2*h + 20. Let m = 817 - 817. Sort u, m, 2 in increasing order. m, 2, u Let i = -31/4 + 91/12. Let o = -21.6 - -22.1. Put o, -4, i, -1/10 in descending order. o, -1/10, i, -4 Suppose -345*t = -340*t - 5. Put -50, t, -4, 2 in decreasing order. 2, t, -4, -50 Suppose 0 = 3*p + s - 33, 4*s = p + 2. Let j be (4 - 114/30)/((-8)/p). Put 2, j, -5, -0.3 in descending order. 2, j, -0.3, -5 Let u be (-2)/(3/((-9)/(-2))). Let r = -49 + 54. Suppose 7*c + r = 2*c. Put c, u, 2 in descending order. 2, c, u Let l be (-51)/18 + 2 - -1. Let f = 133.3 - 132. Sort l, f, -0.5. -0.5, l, f Let l(b) = -11*b + 25. Let z be l(2). Sort -5, -6, z. -6, -5, z Let r = -9 + 8.46. Let x = r - -0.5. Let c = 2.04 + x. Put -5/2, c, 0.1 in decreasing order. c, 0.1, -5/2 Let d(b) = b**2 + 6*b + 4. Let v be d(-4). Let h be -1*5 + (2 - 2). Sort v, h, 1 in descending order. 1, v, h Let i be (-12)/(-8)*8/(-3). Let r = -2.791 + 8.791. Put i, r, 2/5, -0.7 in decreasing order. r, 2/5, -0.7, i Let o be 4/14*(6 + 1). Let p(d) = d**3 + 8*d**2 + 4*d + 35. Let v be p(-8). Sort v, 5, o, 4 in ascending order. o, v, 4, 5 Suppose 8 = -i - i. Let y = 44 - 39. Let x(n) = -n + 9. Let d be x(0). Sort i, y, d in increasing order. i, y, d Let d = 200/7 + -197/7. Let g be ((-2)/(-6))/(6/(-45)). Sort g, 5/3, d in increasing order. g, d, 5/3 Suppose 9*j - 2*j = 7. Suppose 3*g + j = 4*g - a, -3*g + 5*a = -9. Sort g, 3, -3 in descending order. 3, g, -3 Suppose -39*v + 42 = -41*v. Let b = v - -25. Put b, 19, 0 in ascending order. 0, b, 19 Let g = 4.2 - -0.8. Let l(a) be the second derivative of a**4/6 + 3*a**3/2 - 5*a**2 - 13*a. Let s be l(-5). Put 0.5, s, g in ascending order. s, 0.5, g Let b = 176.9 + -189.9. Sort -3/7, 0.3, 8, b. b, -3/7, 0.3, 8 Let j = 336 + -1004/3. Sort -5, -4, j, 5. -5, -4, j, 5 Let z = -438 - -440. Sort -2, z, 5, 6. -2, z, 5, 6 Suppose -2*g + 2*q + 6 = 0, -6*g + 8*g - 3*q - 8 = 0. Suppose -2*w + 12 = -2*v, -v + 3*w + 6 = -6*v. Sort v, -5, g. -5, v, g Let p = 230 - 227. Suppose 3*x - 5*j - 5 = 0, -5*x - 33 = j + j. Sort -10, 5, x, p in increasing order. -10, x, p, 5 Let y = -0.1482 - 0.3518. Put -5/4, 16, 1/3, y in ascending order. -5/4, y, 1/3, 16 Let o be -5 + 1 + 32*1. Let p = -25 + o. Sort p, -2, -8 in descending order. p, -2, -8 Let i be (0 - (-2)/6)*6. Let l be 0 + 1/i*-8. Suppose p - 1 = h, 2*h - 17 = 3*p + 4*h. Sort l, p, -6 in descending order. p, l, -6 Let p be (-1)/2*(-20)/40. Let j = -0.31 + -0.69. Put -34, p, j, -0.4 in increasing order. -34, j, -0.4, p Let p = 49 + -44. Suppose -5*v + p = -0*v. Let o be 2/2*-1 - 2. Put v, o, -7 in increasing order. -7, o, v Let p = -7 + 4. Let s be (15 + -20)*(-1 + 0). Suppose -4 = 6*u - 10*u. Sort s, p, u in increasing order. p, u, s Let o = -0.16 + -0.34. Let h be ((-18*1)/3)/2. Sort o, -4, h in descending order. o, h, -4 Let t = 12 + -6. Let q = -87 - -10. Let d = 74 + q. Put d, t, 4 in ascending order. d, 4, t Let i be 1/(-8) + ((-2925)/(-104) - 7). Sort 0, -4, 5, i in descending order. i, 5, 0, -4 Let b(j) be the third derivative of j**5/60 + j**4/24 - j**3/6 + 2*j**2. Let c be b(2). Put c, 13, -4 in decreasing order. 13, c, -4 Suppose 4*r + 33 = -3. Let z be (-57)/(-12) + r/12. Suppose -2*d + 18 = z*d. Put -4, -10, d in decreasing order. d, -4, -10 Let g(j) = -3 - 2*j + 2*j**2 - 7*j**2 + 4*j**2 + 6. Let s be g(2). Put 2, -2, s in descending order. 2, -2, s Let b(k) = k**3 - 11*k**2 - 38*k - 56. Let p be b(14). Put -137, p, 4 in ascending order. -137, p, 4 Let m(c) = -11*c**3 + c**2 + 3*c - 3. Let k be m(1). Put 0, k, 2 in ascending order. k, 0, 2 Let z = 256 + -251. Put 1, 6, z, -4 in ascending order. -4, 1, z, 6 Suppose 3*i = 5 + 1. Let l = 9 + i. Sort -2, -3, l in ascending order. -3, -2, l Let c = -2515 + 2512. Sort 3, c, -13, -5. -13, -5, c, 3 Let p = 0 - 6. Let h = 6.6 + p. Let d = h + -0.6. Put d, 2/9, 1 in descending order. 1, 2/9, d Suppose p = -p + 26. Suppose 9*r - 14 = 16*r. Put p, 2, r in ascending order. r, 2, p Let g be 46/(-45) + (-1076)/(-1345). Suppose 3*m = -0*m. Let h be m - (2 - 26/8). Put 5, g, h in decreasing order. 5, h, g Suppose 14*c - 41 = 1. Put 1, c, -6 in ascending order. -6, 1, c Suppose 2*t = 4*h + t + 24, -h - 5*t + 15 = 0. Let o = 0.12 - -1.88. Sort o, 0, 1, h in ascending order. h, 0, 1, o Suppose 0 = -43*q - 2086 - 1010. Sort q, -3, 0.4 in increasing order. q, -3, 0.4 Let u = -19.45 - -26.4. Let a = u + -7. Let v = a - -0.06. Sort v, -4, -5 in ascending order. -5, -4, v Let h = 1.01 - 5.01. Put 1/2, 1, h, 39 in descending order. 39, 1, 1/2, h Let g = 19 - 24. Suppose -10*x = -19*x - 18. Sort g, 0, -4, x. g, -4, x, 0 Suppose -4*z + 20*c + 28 = 18*c, -z - 5*c - 15 = 0. Sort z, 3, 2, 8 in decreasing order. 8, z, 3, 2 Suppose 4 - 1 = -l - 2*v, -3*l = v - 6. Put 1, -4, 22, l in increasing order. -4, 1, l, 22 Let k = 0.44 + -0.94. Let z = 0.1 + -0.2. Put z, -3, k in ascending order. -3, k, z Let c = 1443 + -1433. Sort -4, 1, c, 4 in decreasing order. c, 4, 1, -4 Suppose -5*x - 4*t = 10, 2*t - 13 = x + 5*t. Suppose -2*h - 1680 = 19*h. Let o be (-27)/12 - h/64. Sort x, 4, o in ascending order. o, x, 4 Let d = 6 + -10. Let z = 49.5 - 51. Let h = z + 1.9. Sort -1/8, h, d in decreasing order. h, -1/8, d Suppose -27*g = 422 - 287. Sort 2, 1, g, -4 in decreasing order. 2, 1, -4, g Suppose -3*w - 86*n + 83*n = 6, -2*w + n = 10. Let b = 1 + -4. Sort b, -1, w, -2 in descending order. -1, -2, b, w Let v = 2.8 - 2.58. Let o = 0.28 + v. Let
{ "pile_set_name": "DM Mathematics" }
Let l be (-4 + 25/x)/((-6)/8). Suppose -5*u = 2*r - 219, u + l*r = 5*r + 37. What is the units digit of u? 3 Let x = 863 + -486. Suppose -u + 145 = 4*t - 1363, -t + x = -5*u. What is the tens digit of t? 7 Suppose 502*n - 496*n = 2166. Suppose 0 = 11*y - 1692 + n. What is the hundreds digit of y? 1 Suppose 3 = t, 0 = -2*h + 2*t + 2*t - 48. Let q = 36 + h. Suppose q = 5*s - 182. What is the units digit of s? 0 Let j(s) = 1652*s + 939. What is the units digit of j(4)? 7 Let k(a) = 2*a**3 + 6*a**2 - 31*a - 23. What is the hundreds digit of k(14)? 2 Let h = 7659 - 5494. What is the units digit of h? 5 Let f(w) = 697*w**2 + 18*w + 186. What is the thousands digit of f(-6)? 5 Suppose -565*b + 569*b - 20 = 0. Let r(h) = 77*h + 53. What is the tens digit of r(b)? 3 Let t = -13 + 19. Suppose 3*f - 18 = -t*f. Suppose 3*c = c - a + 111, -5*c + 277 = f*a. What is the units digit of c? 5 Let f = 242 + -248. Let u(l) = -l + 53. What is the tens digit of u(f)? 5 Suppose -711984 = 130*k - 178*k. What is the tens digit of k? 3 Suppose 14 = -4*i + 2*v, 0 = -i - 3*v - 0*v. What is the tens digit of -4*i/30 + 696/10? 7 Let a = -1795 + 238. Let r be 4/(12/a)*5/(-15). Let k = r - 72. What is the tens digit of k? 0 Let q = 36708 - -18206. What is the hundreds digit of q? 9 Suppose 10 = 4*s - 6*s. Let n = s + 1. Let k = n - -13. What is the units digit of k? 9 Let w be (2/(-4) - (-21)/28)*8. Suppose -w*z = 10, 3*l + 0*l = 2*z + 253. What is the tens digit of l? 8 Suppose -11*y + 7 = -4. What is the hundreds digit of y*2*-2 + (-32 - -176)? 1 Let j be (-124)/(-18) + (-15)/(-135). Suppose -11*g + 1088 = -j*g. What is the units digit of g? 2 Let o(l) be the third derivative of -l**5/30 - 23*l**4/8 + 41*l**3/6 - 65*l**2. What is the hundreds digit of o(-33)? 1 Suppose 5771 = 2*d - 8*f - 1781, -4*d = 2*f - 15014. What is the thousands digit of d? 3 Let z(l) = -24*l - 4. Let p be z(-6). Let s be 2/9 + 1364/18. Let x = p - s. What is the tens digit of x? 6 Let c(s) = 111*s + 56. Let m(b) = b**3 + 6*b**2 + 9*b + 9. Let n be m(-5). Let d(g) = 22*g + 11. Let j(a) = n*d(a) + 2*c(a). What is the units digit of j(-3)? 1 Let w be (3 + 0)*(-2)/(-6). Let a be w*(3 - (-3 + 5)). Suppose -49 + a = -l. What is the tens digit of l? 4 Suppose -134961 = -45*u - 19806. What is the units digit of u? 9 Suppose 11*k - 3*k - 67044 = -4*k. What is the units digit of k? 7 Suppose 14*t + 210231 = 35*t. What is the thousands digit of t? 0 Let b = 22030 - 10580. What is the ten thousands digit of b? 1 Let m be (1 + -2)*5*(-4)/10. Suppose m*i - 706 - 358 = 0. Suppose -61*h - i = -65*h. What is the hundreds digit of h? 1 Suppose 5*h - 24*v + 22*v + 6531 = 0, 5*v + 3900 = -3*h. Let d = -671 - h. What is the tens digit of d? 3 Suppose -6*w = 3*w + 9. Let c(b) = -4*b + 3. Let i be c(w). Suppose 0 = i*n + 89 - 1335. What is the units digit of n? 8 Suppose -9*b + 5*b = 3*h - 4770, 0 = -3*b - 3*h + 3576. Let m = -524 + b. What is the units digit of m? 0 Let l(h) = -8*h**2 + 21*h - 25. Let k(i) = 8*i**2 - 21*i + 23. Let v(g) = -2*k(g) - 3*l(g). What is the tens digit of v(8)? 7 Let y = 13060 - 11897. What is the tens digit of y? 6 Suppose 53 = 3*k + 41. Suppose -5*v = 1190 - 360. Let c = k - v. What is the tens digit of c? 7 Let t be ((-96)/18)/8*-66. Suppose t*z - 15*z = 9280. What is the tens digit of z? 2 Let c = -76 + 79. Let k be (-30)/(-6) + (5 - c)*-1. Suppose k*l + 374 - 1055 = 4*v, -l = -5*v - 216. What is the hundreds digit of l? 2 Let i = -193 - -695. Let s = 673 - i. What is the hundreds digit of s? 1 Let z = 19560 - 15076. What is the tens digit of z? 8 Suppose -165 = 3*l - 462. Suppose 37800 = -l*s + 123*s. What is the tens digit of s? 7 Suppose -7*a + 29954 = 10*a. Let z = -852 + a. What is the hundreds digit of z? 9 Let n = 10 + -5. Suppose -n*c - 4*o = -4, -o = 2*c + 3*c - 16. Suppose 5*g - 3*y + y - 265 = 0, c*y = g - 53. What is the units digit of g? 3 Suppose -k - 514 + 5567 = -4*v, -15223 = -3*k - 4*v. What is the units digit of k? 9 Let y(w) = -w**2 - 46*w + 391. Let c be y(0). Suppose -385*k = -c*k + 1344. What is the tens digit of k? 2 Suppose 7792400 = 181*h + 72*h. What is the units digit of h? 0 Suppose -459*c + 225180 = -432*c. What is the units digit of c? 0 What is the units digit of 133/((4/7 + (-4505)/8092)*4)? 1 Let o = 94217 - 65143. What is the hundreds digit of o? 0 Let g be (-749)/(-3) - (-4)/12. Suppose 2*f - v = -2*f - g, 5*f - 4*v + 318 = 0. Let s = f + 115. What is the tens digit of s? 5 Suppose -2*c + 82776 = 7*j, 5*j = -10*c + 9*c + 41391. What is the hundreds digit of c? 3 Suppose 81*p - 33*p + 2336346 = 285*p. What is the units digit of p? 8 Let h = -7661 - -7566. Let y be (24 + 0)/(3/(-20)). Let a = h - y. What is the units digit of a? 5 Let c(y) = y**2 - 27*y + 112. Let p be c(5). Suppose 0*d = z + p*d - 468, -d - 453 = -z. What is the tens digit of z? 5 Let w = -21226 + 63148. What is the thousands digit of w? 1 Suppose 7*j = -15*j + 10472. What is the hundreds digit of j? 4 Let d = 4020 - 2732. Suppose -87*n = -80*n - d. What is the tens digit of n? 8 Let m be 43736/126 - 5/45. Let l = m + -109. What is the hundreds digit of l? 2 Let z(t) = -3*t**3 - 39*t**2 - 192*t - 487. What is the hundreds digit of z(-21)? 1 Let m be (3 - 10/4)*0 - -2. Let y(l) = 7*l**m + 0*l**2 - 10 - 13*l**2 + 6*l + 3 - l**3. What is the tens digit of y(-8)? 7 Let o be (14/21)/2*0. What is the tens digit of (-1 - 2)/(o - 27/3582)? 9 Suppose 75 = 16*p - 21*p. Let w be 3*((-265)/p + 5). Let x = w - -13. What is the tens digit of x? 8 Let x = -4278 + 2821. Let d = -959 - x. What is the tens digit of d? 9 Let a = 90 - 104. What is the units digit of 4/a + 848/28 + 1? 1 Let m = -373 - 505. Let g = m - -1032. What is the units digit of g? 4 What is the hundreds digit of 331618/42 + 3/(45/(-10))? 8 Let f = 108 - 108. Suppose f = -3*n + 8*d - 3*d + 2963, 4 = -d. What is the tens digit of n? 8 Suppose -8*u = 3*u + 17699. Let q = -845 - u. What is the units digit of q? 4 Suppose 4*w - n = -18, -3*w + n = 19 - 5. What is the units digit of (w - (-2)/(-2) - -4) + 308? 7 Let b(s) = 13*s**2 - 430*s + 229. What is the hundreds digit of b(61)? 3 Suppose 0 = 4*l + 2*l - 24. Suppose -11*r + 623 = -l*r. Let i = r + 1. What is the tens digit of i? 9 Let x = -5049 - -9214. What is the tens digit of x? 6 Let r(f) = -14*f + 47. Let x(u) = 5*u - 16. Let w(z) = -6*r(z) - 17*x(z). Let q be w(-12). What is the hundreds digit of q*-1 - (-19)/(38/264)? 1 Suppose d + 2*d = 3*g + 66, 5*g + 100 = 3*d. Let f(x) = x**2 + 19*x + 13. Let n be f(g). What is the units digit of (-22)/8*(17 + n)? 1 Suppose 0 = 5*b - 1 + 6, 0 = -5*m - 4*b - 99. Let v(t) = t**2 + 19*t + 2. Let o be v(m). What is the tens digit of (0 - 8/(-6))/(o/171)? 1 What is the thousands digit of (44/(-5))/(648/(-277020))? 3 Suppose -25 = -3*g - 2*c, 3*g = -2*g + 4*c + 27. Suppose g*b - 78 = 6*b. What is the hundreds digit of 45/6*b/5? 1 Let d = 909 - -5224. What is the units digit of d? 3 Let k(l) = -l**3 - 9*l**2 + 4*l + 12. Let c be k(-7). Let o = c + -102. Let f = o - -381. What is the hundreds digit of f? 1 Let c(x) = -5*x**3 + 2*x**2 + 4*x + 3400. What is the units digit of c(0)? 0 Let j be ((7 - 82)*15)/1. Let t = j - -2444. What is the hundreds digit of t? 3 Suppose 13507 - 57797 = -2*n + 4*c, -4*c - 22133 = -n. What is the tens digit of n? 5 Let w = 119034 - 65740. What is the thousands digit of w? 3 Let n = 61639 - 32141. What is the units digit of n? 8 Let y = 114 + -109. Suppose 0 = -j - y, -t - 3*t = -4*j - 1048. What is the tens digit of t? 5 Let x(a) = -4*a + 3*a - 20 + 23. What is the units digit of x(-8)? 1 Let w = -16 - -12. Let c be (4 + (-18)/4)*w. Suppose 0 = 3*p + t + 4*t - 33, c*t + 55 = 5*p. What is the units digit of p? 1 Let d(o) = -85*o - 48. Let i(c) = -91*c - 49. Let p(u) = 3*d(u) - 2*i(u). What is the tens digit of p(-16)? 2 Suppose x + 4*x + 5*p = 0, 3*x + 2 = -4*p. Suppose -x*h = -4*d + 798, -d - h + 1015 = 4*d. Suppose 44 = -2*g + d. What is the units digit of g? 9 Let r(p) = p + 168. Let o be r(39). Let a = o - 114. What is the units digit of a? 3 Suppose 10*s = 5*p + 8*s - 69, 4 = -2*s. Suppose 2006 = -p*k + 13329. What is the tens digit of k? 7 Suppose -5*t = -3*z - 8730, -4*t - 2*z + 4787 = -2197. What is the units di
{ "pile_set_name": "DM Mathematics" }
What is the u'th term of 1800, 3601, 5404, 7209? u**2 + 1798*u + 1 What is the a'th term of -38, -65, -120, -215, -362, -573, -860? -2*a**3 - 2*a**2 - 7*a - 27 What is the m'th term of -30, -21, 10, 75, 186, 355, 594, 915? 2*m**3 - m**2 - 2*m - 29 What is the x'th term of 1022, 2045, 3068, 4091? 1023*x - 1 What is the g'th term of -48, -40, -28, -12, 8? 2*g**2 + 2*g - 52 What is the c'th term of 4, 27, 76, 163, 300, 499? 2*c**3 + c**2 + 6*c - 5 What is the s'th term of -209, -870, -1971, -3512, -5493? -220*s**2 - s + 12 What is the b'th term of -132, -136, -150, -180, -232, -312, -426, -580? -b**3 + b**2 - 132 What is the h'th term of -156, -120, -92, -78, -84, -116, -180, -282? -h**3 + 2*h**2 + 37*h - 194 What is the d'th term of -23, -40, -59, -80? -d**2 - 14*d - 8 What is the r'th term of -46, -71, -112, -169? -8*r**2 - r - 37 What is the i'th term of 55, 31, -3, -53, -125, -225, -359? -i**3 + i**2 - 20*i + 75 What is the k'th term of -110, -169, -228, -287, -346? -59*k - 51 What is the x'th term of 24, 38, 44, 42, 32? -4*x**2 + 26*x + 2 What is the v'th term of 32, 53, 100, 185, 320, 517, 788? 2*v**3 + v**2 + 4*v + 25 What is the w'th term of 71, 220, 475, 830, 1279, 1816? -w**3 + 59*w**2 - 21*w + 34 What is the v'th term of -171, -146, -117, -84, -47, -6, 39? 2*v**2 + 19*v - 192 What is the v'th term of -239, -238, -237? v - 240 What is the c'th term of 9, -3, -25, -57, -99? -5*c**2 + 3*c + 11 What is the l'th term of 11, -4, -31, -70, -121, -184? -6*l**2 + 3*l + 14 What is the b'th term of 4, 6, 18, 46, 96, 174, 286, 438? b**3 - b**2 - 2*b + 6 What is the z'th term of -4, -8, -16, -28, -44, -64? -2*z**2 + 2*z - 4 What is the t'th term of 216, 212, 204, 192, 176, 156, 132? -2*t**2 + 2*t + 216 What is the i'th term of 3, -9, -23, -33, -33, -17? i**3 - 7*i**2 + 2*i + 7 What is the f'th term of -2739, -2738, -2737, -2736? f - 2740 What is the q'th term of 179, 178, 183, 200, 235, 294, 383, 508? q**3 - 3*q**2 + q + 180 What is the y'th term of -43, -87, -119, -133, -123, -83, -7, 111? y**3 - 51*y + 7 What is the a'th term of 10, 81, 204, 385, 630, 945, 1336, 1809? a**3 + 20*a**2 + 4*a - 15 What is the q'th term of -29, -16, -3, 10, 23, 36? 13*q - 42 What is the t'th term of -423, -420, -419, -420, -423? -t**2 + 6*t - 428 What is the h'th term of -278, -552, -824, -1094? h**2 - 277*h - 2 What is the o'th term of 29, 68, 113, 164, 221? 3*o**2 + 30*o - 4 What is the v'th term of 37, 42, 51, 64, 81? 2*v**2 - v + 36 What is the n'th term of -1263, -5046, -11351, -20178, -31527, -45398? -1261*n**2 - 2 What is the b'th term of 312, 319, 330, 345, 364? 2*b**2 + b + 309 What is the h'th term of 1, -10, -27, -50, -79, -114, -155? -3*h**2 - 2*h + 6 What is the b'th term of 37, 100, 203, 352, 553, 812, 1135? b**3 + 14*b**2 + 14*b + 8 What is the t'th term of 50, 58, 66, 74? 8*t + 42 What is the v'th term of -658, -656, -654, -652, -650, -648? 2*v - 660 What is the b'th term of 175, 171, 167? -4*b + 179 What is the p'th term of 578, 591, 618, 665, 738, 843, 986? p**3 + p**2 + 3*p + 573 What is the u'th term of 204, 184, 150, 96, 16, -96? -u**3 - u**2 - 10*u + 216 What is the r'th term of -368, -719, -1070, -1421? -351*r - 17 What is the f'th term of 60, 103, 134, 147, 136, 95, 18, -101? -f**3 + 50*f + 11 What is the p'th term of -87, -93, -103, -117, -135, -157? -2*p**2 - 85 What is the q'th term of -221, -439, -657, -875? -218*q - 3 What is the a'th term of -437, -429, -421, -413, -405? 8*a - 445 What is the p'th term of 26, 61, 120, 209, 334, 501? p**3 + 6*p**2 + 10*p + 9 What is the j'th term of 154, 146, 134, 118? -2*j**2 - 2*j + 158 What is the o'th term of -38, -19, 26, 103, 218? o**3 + 7*o**2 - 9*o - 37 What is the u'th term of -29, -30, -31, -32, -33? -u - 28 What is the w'th term of 151, 167, 183, 199, 215? 16*w + 135 What is the w'th term of -13, 19, 71, 143? 10*w**2 + 2*w - 25 What is the z'th term of 10332, 20663, 30994, 41325, 51656? 10331*z + 1 What is the f'th term of -4621, -9240, -13859, -18478, -23097? -4619*f - 2 What is the z'th term of 15, 56, 169, 390, 755? 6*z**3 - z + 10 What is the t'th term of 46, 47, 48, 49? t + 45 What is the r'th term of -327, -654, -981, -1308? -327*r What is the n'th term of -771, -771, -773, -777, -783? -n**2 + 3*n - 773 What is the v'th term of 104, 96, 86, 74? -v**2 - 5*v + 110 What is the j'th term of -667, -2642, -5933, -10540? -658*j**2 - j - 8 What is the m'th term of -24, -37, -50? -13*m - 11 What is the r'th term of 15, 67, 157, 285, 451, 655? 19*r**2 - 5*r + 1 What is the l'th term of 79, 184, 289, 394? 105*l - 26 What is the x'th term of -102, -69, -2, 105, 258, 463, 726, 1053? x**3 + 11*x**2 - 7*x - 107 What is the l'th term of 10, 21, 34, 49? l**2 + 8*l + 1 What is the x'th term of -88, -168, -248, -328, -408, -488? -80*x - 8 What is the h'th term of -1336, -1316, -1276, -1210, -1112, -976, -796, -566? h**3 + 4*h**2 + h - 1342 What is the o'th term of -54, -79, -90, -81, -46, 21, 126, 275? o**3 + o**2 - 35*o - 21 What is the h'th term of -1, 1, 3, 5? 2*h - 3 What is the x'th term of 62, 65, 68, 71, 74? 3*x + 59 What is the l'th term of -524, -520, -514, -506, -496, -484? l**2 + l - 526 What is the d'th term of -1221, -1223, -1225, -1227? -2*d - 1219 What is the u'th term of -35, -69, -103, -137, -171? -34*u - 1 What is the v'th term of -1463, -1446, -1417, -1370, -1299, -1198? v**3 + 10*v - 1474 What is the g'th term of 66, 102, 138? 36*g + 30 What is the b'th term of -35963, -71925, -107887? -35962*b - 1 What is the o'th term of 1570, 1571, 1572, 1573, 1574? o + 1569 What is the p'th term of -4, -1, -2, -7? -2*p**2 + 9*p - 11 What is the h'th term of -132, -255, -376, -495, -612, -727? h**2 - 126*h - 7 What is the c'th term of 2623, 2628, 2643, 2674, 2727? c**3 - c**2 + c + 2622 What is the a'th term of -57, -132, -207, -282? -75*a + 18 What is the b'th term of 1056, 4205, 9452, 16797, 26240, 37781? 1049*b**2 + 2*b + 5 What is the t'th term of 1123, 2246, 3369, 4492? 1123*t What is the c'th term of -15, -33, -49, -63, -75, -85, -93? c**2 - 21*c + 5 What is the o'th term of 44, 54, 64, 74? 10*o + 34 What is the j'th term of 91, 176, 263, 352, 443, 536? j**2 + 82*j + 8 What is the s'th term of -2592, -2591, -2590? s - 2593 What is the m'th term of -26, -71, -174, -365, -674, -1131, -1766? -5*m**3 + m**2 - 13*m - 9 What is the y'th term of 7233, 14472, 21711, 28950, 36189, 43428? 7239*y - 6 What is the g'th term of 41, 25, 7, -13? -g**2 - 13*g + 55 What is the z'th term of -3, -43, -155, -375, -739, -1283, -2043? -6*z**3 + 2*z + 1 What is the y'th term of 6626, 6624, 6620, 6614, 6606, 6596, 6584? -y**2 + y + 6626 What is the v'th term of 1167, 4658, 10475, 18618, 29087? 1163*v**2 + 2*v + 2 What is the c'th term of 492, 487, 478, 465? -2*c**2 + c + 493 What is the u'th term of 328, 655, 982, 1309, 1636, 1963? 327*u + 1 What is the r'th term of 25, 111, 329, 745, 1425, 2435, 3841? 11*r**3 + 9*r + 5 What is the k'th term of -105, -482, -1103, -1962, -3053, -4370, -5907? k**3 - 128*k**2 + 22 What is the l'th term of 29, 112, 251, 446, 697, 1004? 28*l**2 - l + 2 What is the g'th term of -200, -411, -638, -887, -1164, -1475? -g**3 - 2*g**2 - 198*g + 1 What is the c'th term of -247, -243, -239, -235, -231, -227? 4*c - 251 What is the y'th term of -42, -72, -100, -126, -150, -172? y**2 - 33*y - 10 What is the f'th term of -108, -397, -858, -1485, -2272, -3213? f**3 - 92*f**2 - 20*f + 3 What is the l'th term of 466, 463, 460, 457, 454, 451? -3*l + 469 What is the x'th term of 21560, 21561, 21562? x + 21559 What is the p'th term of -25, -141, -345, -643, -1041? -p**3 - 38*p**2 + 5*p + 9 What is the n'th term of 27, 218, 743, 1770, 3467? 28*n**3 - n**2 - 2*n + 2 What is the b'th term of 32, 82, 166, 284? 17*b**2 - b + 16 What is the v'th term of -200, -403, -620, -857, -1120, -1415, -1748? -v**3 - v**2 - 193*v - 5 What is the f'th term of 200, 192, 180, 164, 144, 120, 92? -2*f**2 - 2*f + 204 What is the k'th term of -44, -119, -218, -341, -488, -659, -854? -12*k**2 - 39*k + 7 What is the d'th term of -16, -52, -90, -130, -172? -d**2 - 33*d + 18 What is the c'th term of 1139, 2278, 3417? 1139*c What is the a'th term of -74, -89, -104? -15*a - 59 What is the u'th term of -16, -42, -68, -94, -120? -26*u +
{ "pile_set_name": "DM Mathematics" }
2, 3, 5, 19 Let a = 317 - -145. What are the prime factors of a? 2, 3, 7, 11 Suppose 836 = -3*p + 7*p. Let u = p + 83. List the prime factors of u. 2, 73 Let f(u) = u**3 - 6*u**2 - 8*u + 5. Let x be f(7). Let d be (-4 + 0)/(-8)*x. Let m = 25 + d. List the prime factors of m. 2, 3 Let b = -5 + -10. Let f(q) = q**2 + 11*q + 8. List the prime factors of f(b). 2, 17 Let z = -1 - -3. Let a be (-2)/(((-16)/12)/z). Suppose 5*k = -a*y + 86, -4*k - 77 = -3*y - 0*k. What are the prime factors of y? 3 Let m be (-5)/1*5/1. Let f = 49 - m. List the prime factors of f. 2, 37 Suppose -5*n + 6549 = -3*l, 0*l - 2*l = 5*n - 6559. List the prime factors of n/38 + (-6)/4. 3, 11 Let k(r) = -33*r + 5. Let y be k(-3). Suppose -y = -5*l + 3*l. What are the prime factors of (-4)/26 + 1724/l? 3, 11 Suppose 10714 = 12*r + 1498. What are the prime factors of r? 2, 3 Let a = 105 - 67. Suppose a = 2*h - 4*h. Let x = -2 - h. What are the prime factors of x? 17 Let a be 28/(-6)*(-13 + 31). Let s be ((-3)/9)/(7/a). Suppose 2*t + s*w = 7*t - 197, w = 2*t - 77. What are the prime factors of t? 37 Let z = -15 - -17. What are the prime factors of (-1245)/(-30) - (-1)/z? 2, 3, 7 Let t(p) be the second derivative of -7*p**3 - 6*p**2 + 8*p. List the prime factors of t(-4). 2, 3, 13 Suppose 0 = -4*k - 2*q + 5928, -3*q = 5*k - 2*q - 7413. List the prime factors of k. 1483 Suppose 0 = -21*g + 37006 - 2020. What are the prime factors of g? 2, 7, 17 Let f(m) = 41*m**2 - 45*m - 191. List the prime factors of f(-4). 3, 5, 43 Let b(s) = 39*s**2 + 3*s - 3. Suppose 0 = 3*q + f - 2, -10 + 28 = 3*q - 3*f. Let h be b(q). List the prime factors of h/7 + 10/35. 23 Let j = -1 - -1. Suppose j*s = 4*s - 268. List the prime factors of s. 67 Suppose 7*r - 112 = -4*y + 9*r, -2*r = 8. List the prime factors of y. 2, 13 Let r = 0 - -2. Suppose -5*j + 2*j = -144. Suppose -r*l + j = l. List the prime factors of l. 2 Suppose -3*g + 2396 = 4*o, o = -2*g - 62 + 661. What are the prime factors of o? 599 Let o be (-8)/(-5) + 6/15. Let g = -13 + 21. Suppose -o*x + 44 = g. What are the prime factors of x? 2, 3 Let x(v) = v + 676. Let h be x(0). Suppose -872 = -5*n + 3*u, 3*u = -n - 3*n + h. List the prime factors of n. 2, 43 Let o(k) be the second derivative of -k**5/20 - 2*k**4/3 - 4*k**3/3 + 5*k**2/2 + 3*k. Let x be o(-7). What are the prime factors of 76/6*x/8? 19 Suppose 3 = 4*y - 3*y. Let v be (y - -2) + (0 - 0). Suppose -3*j + 4*w = -v + 2, -5*j = 3*w - 34. List the prime factors of j. 5 Suppose 4*p = p. Suppose -16*t + 228 = 3*h - 11*t, 0 = -5*h - 2*t + 380. Suppose p = -6*l + 110 + h. What are the prime factors of l? 31 Let a = 60 - 57. What are the prime factors of (-668)/(-8) + -1 + a/2? 2, 3, 7 Suppose 5*g - 860 = -3*m, -3*g + 1175 = 4*m - 2*g. Let h = m - 198. What are the prime factors of h? 97 Let m(x) = 45*x + 2. Let r be m(2). Suppose -2*f + 30 = -y + 5*y, -5*y + 35 = 2*f. Suppose 2*j = f*s - r, -2*j - j = -12. What are the prime factors of s? 2, 5 Let k = 50 - 41. Let u(j) = j**3 - 8*j**2 + 12*j - 7. What are the prime factors of u(k)? 2, 7, 13 Let b(j) = j**3 - 11*j**2 + 10*j - 3. Let u be b(10). List the prime factors of ((12/8)/u)/(2/(-164)). 41 Suppose -d - 4*v - 20 = 0, -4*d = -9*d + 5*v + 25. Suppose d = -m - 15 + 19. Suppose 20 + 64 = m*r. What are the prime factors of r? 3, 7 Let u(r) = 7*r**2 - 15*r - 24. List the prime factors of u(21). 2, 3, 229 Let v = 79 - 173. Let y = v + 203. List the prime factors of y. 109 Suppose -3312 = -196*q + 192*q. List the prime factors of q. 2, 3, 23 Suppose -7*b = -6*b - 1700. List the prime factors of b. 2, 5, 17 Suppose 0 = -2*j - 0*j + 4. Suppose 0 = -a + j*a + 43. Let z = a + 63. What are the prime factors of z? 2, 5 List the prime factors of 11 + 833 + (-8)/2. 2, 3, 5, 7 Suppose 1070 - 4227 = -7*g. What are the prime factors of g? 11, 41 Suppose 33 = 3*r + 30. List the prime factors of 2/(4*r/122). 61 Let r = -32 - -58. List the prime factors of r*(2 + (3 - 3)). 2, 13 Let m = -26 + 31. Suppose -m*p = 4*j - 662, 0*p - 5*p = -4*j - 638. List the prime factors of p. 2, 5, 13 Let v = -51 + 520. What are the prime factors of v? 7, 67 Suppose -3*l + 2*h = -39, 4*l + 33 - 102 = -3*h. What are the prime factors of -3 + l/3 - -16? 2, 3 Let g(i) = -i + 8. Let f be g(6). Suppose -5*c + 3*n + 1217 = 0, 3*c + 51 = f*n + 782. List the prime factors of c. 241 Let x = 2385 + 236. What are the prime factors of x? 2621 Let u be 5/(-3)*4*(-3)/2. What are the prime factors of (-449)/(-3) - (u/6 - 3)? 151 Let y(k) be the second derivative of k**4/12 + k**3/6 + 29*k**2/2 - 7*k. What are the prime factors of y(0)? 29 Let n = 10 - 2. Let a(c) = -c + 1. Let t be a(n). Let p(x) = -4*x - 13. List the prime factors of p(t). 3, 5 Suppose -2*p + 663 = 3*g - 219, 294 = g - p. What are the prime factors of g? 2, 3, 7 Let w(i) = 21*i + 22. List the prime factors of w(3). 5, 17 Let f = 37 - 30. Suppose 0 = 6*y - f*y + 21. What are the prime factors of y? 3, 7 Let z be ((-6)/(-12))/((-1)/(-8)). Suppose -4*l - 2*t + 14 = 0, z*l + 6*t = t + 17. Let b = l + 10. What are the prime factors of b? 13 Let t(k) = k**2 - 2*k - 4. Let b be t(4). Suppose 53 + 63 = 3*z + g, -5*g - 83 = -2*z. List the prime factors of z*1 + -4 + b. 3, 13 Let k be 1276/6 - 30/(-90). Let i(w) = 4*w**2 + w. Let c be i(1). Suppose -c*f = 4*n - n - 143, -2*f + k = 5*n. List the prime factors of n. 41 Let h = 255 + 520. What are the prime factors of h? 5, 31 Let g be (-6 - -3 - -6)*1. Suppose 6*m - g*m - 24 = 0. Suppose 5*u = 2*x + 16, u - m = -3*x + 2. List the prime factors of u. 2 Suppose u = 6 - 2. Suppose 0*k = u*k - 360. List the prime factors of k. 2, 3, 5 Suppose -c - 15 = 4*c. Let l be 0*1/(-4 - c). Suppose 2*a - 5*v - 39 = l, 49 = 2*a + a + 2*v. What are the prime factors of a? 17 Let c(f) be the first derivative of 3*f**2/2 + 22*f - 9. Let s be c(-6). Suppose -s*g + 5*g = 3*r - 89, 0 = 4*r - 2*g - 122. List the prime factors of r. 2, 7 Suppose 752 - 3361 = -d + 2*f, -2*f = 3*d - 7811. What are the prime factors of d? 5, 521 Let p(s) = 2*s**3 + 2*s + 72. Let h be p(0). Let l = 319 - h. What are the prime factors of l? 13, 19 Let f be (2 + -1)/(1/2). Suppose -4*k - 46 = -3*a, 24 = 2*a - f*k + k. Suppose 2*i + a - 36 = 0. List the prime factors of i. 13 Suppose 7*k - 16*k = 10944. What are the prime factors of k/(-12) + (-8)/(-12)? 2, 3, 17 Suppose 15*a - 31972 = -292. List the prime factors of a. 2, 3, 11 Let z = 66 + -20. Suppose 5*d - 131 = -z. Suppose 5 = 2*g - t, 2*g - 4*g - 3*t + d = 0. List the prime factors of g. 2 Let g = -398 + 273. Let f = g - -180. What are the prime factors of f? 5, 11 Suppose -733*f + 624 = -727*f. List the prime factors of f. 2, 13 Suppose 0 = -z - 2*j - 46, 0 = -3*z + 7*z + j + 170. Let q = -17 - z. Suppose q = 5*a - 45. What are the prime factors of a? 2, 7 Let m be ((-4)/(-4) + 3)/((-2)/7). List the prime factors of (-2)/7 - 872/m. 2, 31 Suppose 3*i = -i + 12. Suppose 0*u - 3*u + q = -175, -171 = -i*u + 3*q. Suppose 3*x - 196 = -5*z, -2*z + u = 2*x - 17. What are the prime factors of z? 41 Let y(a) = a**3 - 8*a**2 - 11. Suppose 5*g - 11 = 29. Let b be y(g). Let u = -4 - b. List the prime factors of u. 7 Let z be 1*(4/14 + (-408)/(-42)). What are the prime factors of (-2 + z/(-6))/((-9)/54)? 2, 11 Let z(t) = 97*t + 39. What are the prime factors of z(3)? 2, 3, 5, 11 Suppose 0 = -34*k + 13971 + 7551. List the prime factors of k. 3, 211 Suppose t = -4*t - 10. Let s = -8 + t. Let w = s + 26. List the prime factors of w. 2 Let x = 9 - 4. Suppose 0 = -x*o + o + 224. List the prime factors of o. 2, 7 Let g(q) = -18*q**2 - 5 + 0 + 5*q + q**3 - 20. Let d(p) = -5*p - 2. Let k be d(-4). What are the prime factors of g(k)? 5, 13 Let f = 185 + -115. Let m = f + -2. What are the prime factors of m? 2, 17 Let a(k) = k - 8. Let g be a(6). List the prime factors of (g + 41)/((-5)/(-2) + -2). 2, 3, 13 Let b(n) be the third derivative of -2*n**3 + 3*n**2 + 0*n + 1/6*n**4 + 0. What are the prime factors of b(10)? 2, 7 Let c = -155 + -21. Let o = -54 - c. List the prime factors of o. 2, 61 Let l(o) = 7*o**2 + 14*o - 34. List the prime factors of l(-15). 11 Let r(a) be the second derivative of 5*a**4/12 - 2*a**3/3 - a**2/2 + 10*a. What are the prime factors of r(2)? 11 Let u = 377 - 262. What ar
{ "pile_set_name": "DM Mathematics" }
is divided by 7. 6 Calculate the remainder when 135 is divided by 35. 30 Calculate the remainder when 61 is divided by 32. 29 What is the remainder when 217 is divided by 73? 71 What is the remainder when 171 is divided by 43? 42 What is the remainder when 664 is divided by 104? 40 What is the remainder when 23656 is divided by 59? 56 What is the remainder when 1818 is divided by 115? 93 Calculate the remainder when 2091 is divided by 1. 0 Calculate the remainder when 2869 is divided by 76. 57 What is the remainder when 344 is divided by 110? 14 What is the remainder when 19369 is divided by 167? 164 What is the remainder when 1694 is divided by 282? 2 Calculate the remainder when 930 is divided by 426. 78 Calculate the remainder when 1277 is divided by 9. 8 Calculate the remainder when 119 is divided by 42. 35 Calculate the remainder when 669 is divided by 113. 104 What is the remainder when 141 is divided by 49? 43 Calculate the remainder when 990 is divided by 62. 60 What is the remainder when 4773 is divided by 40? 13 What is the remainder when 193 is divided by 66? 61 Calculate the remainder when 87 is divided by 61. 26 What is the remainder when 313 is divided by 72? 25 What is the remainder when 73 is divided by 25? 23 What is the remainder when 152 is divided by 99? 53 Calculate the remainder when 380 is divided by 80. 60 Calculate the remainder when 352 is divided by 86. 8 What is the remainder when 207 is divided by 19? 17 What is the remainder when 2764 is divided by 39? 34 What is the remainder when 28115 is divided by 198? 197 Calculate the remainder when 6238 is divided by 240. 238 Calculate the remainder when 92 is divided by 9. 2 Calculate the remainder when 741 is divided by 154. 125 Calculate the remainder when 377 is divided by 76. 73 What is the remainder when 66 is divided by 14? 10 Calculate the remainder when 4152 is divided by 134. 132 What is the remainder when 7308 is divided by 215? 213 What is the remainder when 15637 is divided by 14? 13 What is the remainder when 676 is divided by 7? 4 Calculate the remainder when 806 is divided by 394. 18 Calculate the remainder when 125 is divided by 18. 17 What is the remainder when 374 is divided by 15? 14 Calculate the remainder when 993 is divided by 489. 15 Calculate the remainder when 394 is divided by 25. 19 Calculate the remainder when 267 is divided by 35. 22 What is the remainder when 221 is divided by 32? 29 What is the remainder when 3089 is divided by 28? 9 Calculate the remainder when 207 is divided by 90. 27 What is the remainder when 10749 is divided by 32? 29 What is the remainder when 181 is divided by 27? 19 What is the remainder when 315 is divided by 29? 25 What is the remainder when 117 is divided by 55? 7 Calculate the remainder when 574 is divided by 29. 23 What is the remainder when 4081 is divided by 157? 156 What is the remainder when 967 is divided by 250? 217 What is the remainder when 131 is divided by 41? 8 What is the remainder when 6944 is divided by 991? 7 Calculate the remainder when 1759 is divided by 10. 9 What is the remainder when 837 is divided by 23? 9 What is the remainder when 51 is divided by 11? 7 Calculate the remainder when 2067 is divided by 56. 51 Calculate the remainder when 5426 is divided by 81. 80 Calculate the remainder when 15861 is divided by 138. 129 What is the remainder when 1558 is divided by 1540? 18 What is the remainder when 4657 is divided by 17? 16 What is the remainder when 2003 is divided by 999? 5 Calculate the remainder when 805 is divided by 168. 133 Calculate the remainder when 110 is divided by 14. 12 Calculate the remainder when 85 is divided by 26. 7 Calculate the remainder when 124 is divided by 29. 8 Calculate the remainder when 593 is divided by 386. 207 What is the remainder when 286 is divided by 146? 140 What is the remainder when 195 is divided by 50? 45 What is the remainder when 249 is divided by 25? 24 What is the remainder when 27421 is divided by 11? 9 What is the remainder when 12638 is divided by 20? 18 What is the remainder when 2039 is divided by 12? 11 Calculate the remainder when 173 is divided by 13. 4 What is the remainder when 1216 is divided by 53? 50 Calculate the remainder when 3243 is divided by 646. 13 What is the remainder when 276 is divided by 63? 24 Calculate the remainder when 776 is divided by 66. 50 Calculate the remainder when 269 is divided by 42. 17 What is the remainder when 218 is divided by 68? 14 What is the remainder when 951 is divided by 9? 6 Calculate the remainder when 56 is divided by 47. 9 Calculate the remainder when 115 is divided by 25. 15 Calculate the remainder when 69 is divided by 64. 5 Calculate the remainder when 782 is divided by 54. 26 What is the remainder when 3177 is divided by 177? 168 Calculate the remainder when 109 is divided by 15. 4 What is the remainder when 49 is divided by 20? 9 What is the remainder when 356 is divided by 15? 11 Calculate the remainder when 349 is divided by 26. 11 Calculate the remainder when 657 is divided by 21. 6 What is the remainder when 35 is divided by 13? 9 What is the remainder when 1171 is divided by 23? 21 Calculate the remainder when 235 is divided by 41. 30 What is the remainder when 416 is divided by 19? 17 Calculate the remainder when 51 is divided by 20. 11 What is the remainder when 412 is divided by 52? 48 What is the remainder when 971 is divided by 39? 35 Calculate the remainder when 143 is divided by 38. 29 Calculate the remainder when 1524 is divided by 505. 9 What is the remainder when 28888 is divided by 167? 164 Calculate the remainder when 658 is divided by 6. 4 Calculate the remainder when 565 is divided by 173. 46 Calculate the remainder when 126 is divided by 80. 46 Calculate the remainder when 162 is divided by 34. 26 Calculate the remainder when 838 is divided by 170. 158 Calculate the remainder when 83 is divided by 9. 2 What is the remainder when 186 is divided by 61? 3 What is the remainder when 71 is divided by 67? 4 What is the remainder when 2742 is divided by 91? 12 What is the remainder when 8837 is divided by 104? 101 What is the remainder when 244 is divided by 22? 2 What is the remainder when 85 is divided by 51? 34 Calculate the remainder when 24479 is divided by 72. 71 Calculate the remainder when 91 is divided by 11. 3 Calculate the remainder when 377 is divided by 215. 162 What is the remainder when 780 is divided by 71? 70 What is the remainder when 86 is divided by 30? 26 Calculate the remainder when 90 is divided by 27. 9 Calculate the remainder when 895 is divided by 295. 10 Calculate the remainder when 9673 is divided by 14. 13 Calculate the remainder when 461 is divided by 115. 1 What is the remainder when 83 is divided by 31? 21 Calculate the remainder when 287 is divided by 72. 71 What is the remainder when 804 is divided by 135? 129 What is the remainder when 291 is divided by 3? 0 What is the remainder when 646 is divided by 229? 188 Calculate the remainder when 113 is divided by 39. 35 Calculate the remainder when 107 is divided by 16. 11 What is the remainder when 61 is divided by 17? 10 What is the remainder when 1039 is divided by 131? 122 Calculate the remainder when 2506 is divided by 109. 108 What is the remainder when 123 is divided by 69? 54 What is the remainder when 246 is divided by 33? 15 Calculate the remainder when 55 is divided by 44. 11 Calculate the remainder when 1095 is divided by 24. 15 What is the remainder when 6508 is divided by 70? 68 Calculate the remainder when 724 is divided by 26. 22 What is the remainder when 657 is divided by 33? 30 What is the remainder when 366 is divided by 96? 78 Calculate the remainder when 52 is divided by 6. 4 What is the remainder when 1333 is divided by 148? 1 Calculate the remainder when 230 is divided by 111. 8 What is the remainder when 2462 is divided by 1205? 52 What is the remainder when 182 is divided by 17? 12 What is the remainder when 2177 is divided by 99? 98 What is the remainder when 9117 is divided by 47? 46 Calculate the remainder when 2812 is divided by 5. 2 Calculate the remainder when 65 is divided by 17. 14 Calculate the remainder when 214 is divided by 3. 1 Calculate the remainder w
{ "pile_set_name": "DM Mathematics" }
*2 Let t(u) be the first derivative of -47*u**2/2 + 30*u - 29. What is the first derivative of t(o) wrt o? -47 Let l(r) be the third derivative of r**8/336 + r**5/6 - 7*r**2. What is the third derivative of l(y) wrt y? 60*y**2 Suppose 3*f = -2*v + 4, 5*f = 5*v - v + 14. Let r = v + 1. What is the derivative of r + 1 + 1 - m**4 wrt m? -4*m**3 What is the third derivative of 7*y**6 - 13*y**6 + 4*y**6 + 4*y**2 - 3*y**2 wrt y? -240*y**3 Let p(s) be the third derivative of -s**7/7 - 13*s**5/30 + 33*s**2. What is the third derivative of p(m) wrt m? -720*m Let v(p) = -33*p**5 + 22*p**2 - 3*p + 3. Let q(t) = 33*t**5 - 21*t**2 + 2*t - 2. Let l(h) = -3*q(h) - 2*v(h). What is the third derivative of l(s) wrt s? -1980*s**2 Find the third derivative of 10*d - 8*d**2 - 10*d - 9*d**3 wrt d. -54 Let d(q) = 2*q + 5. Let t be d(-1). Let m(a) be the first derivative of t*a + 2 + 0*a**3 + 0*a**2 - 1/4*a**4. Differentiate m(h) wrt h. -3*h**2 Let i(a) be the first derivative of 3/2*a**4 + 0*a**3 - 2 - 5/2*a**2 + 0*a. What is the second derivative of i(l) wrt l? 36*l Let p(m) = m**2 - m - 1. Let y(d) = -3*d**2 + 5*d + 4. Let s(z) = 5*p(z) + y(z). What is the derivative of s(f) wrt f? 4*f What is the second derivative of 2*n**5 - 4*n - 15*n**5 - 4*n - 4*n wrt n? -260*n**3 What is the third derivative of -2*m**2 + 0*m**5 - 3*m**5 + 8*m**2 wrt m? -180*m**2 Suppose -3*z = -7*z + 116. What is the third derivative of 12*d**2 - 36*d**6 + z*d**6 - 5*d**2 wrt d? -840*d**3 Let h(g) be the third derivative of 0*g + 0 + 1/12*g**4 - 7/6*g**3 - 3*g**2. What is the first derivative of h(c) wrt c? 2 Let q(f) be the second derivative of -f**3/6 + 19*f**2/2 - 4*f. Find the first derivative of q(k) wrt k. -1 Let l be (-1)/(-2)*4 + 0. Suppose 2*n = 2 + l. Find the second derivative of -3*p - 3*p**4 + p**4 + n*p wrt p. -24*p**2 Let f be (0 + (1 - 1))/(-1). Let b be f + -3*(-4)/6. Differentiate b*p - 4 + 1 + 4 wrt p. 2 Suppose -2*t + 11 - 5 = 0. Let w = 72 - 67. What is the third derivative of t*a**2 - w*a + 5*a + 2*a**3 wrt a? 12 Let g(k) be the second derivative of k**6/30 - k**4/12 + k. Find the third derivative of g(q) wrt q. 24*q Let o(d) = -13*d**2 + 3*d - 2. Let k(w) = -65*w**2 + 15*w - 11. Let f(c) = -2*k(c) + 11*o(c). What is the second derivative of f(s) wrt s? -26 Let x(v) = -19*v. Let t(i) = -40*i + 1. Let b(l) = -6*t(l) + 13*x(l). Differentiate b(q) with respect to q. -7 Let y = 21 - 13. Suppose -5*d + 4*z = -4, z = -3*d + 3*z + 4. What is the third derivative of 9*r**4 + 4*r**2 - y*r**d - r**2 wrt r? 24*r Let j(a) be the second derivative of -a**5/10 - 3*a**2/2 - 6*a. What is the first derivative of j(x) wrt x? -6*x**2 Let m(o) = -o - 4. Let v be m(-7). Suppose 4*d - v*d = 2. What is the third derivative of 2*h**2 + 2*h**2 + d*h**4 - 4*h**4 wrt h? -48*h Suppose -3*x - 20 = -7*x. What is the second derivative of 2*k + 3*k**x + k - 5*k wrt k? 60*k**3 What is the third derivative of -883*x**4 + x**2 + 4*x**2 + 870*x**4 wrt x? -312*x What is the second derivative of p - 7*p**2 + 13*p**2 - 5*p**2 wrt p? 2 Let t be ((-6)/4)/((-3)/4). What is the second derivative of -t*f + 0*f - 2*f - 2*f**4 wrt f? -24*f**2 Let d(y) be the third derivative of -2*y**7/21 + y**4/4 + 21*y**2. What is the second derivative of d(f) wrt f? -240*f**2 Let n(z) be the first derivative of 0*z**4 + 3*z + 0*z**2 - 2/5*z**5 - 4 + 0*z**3. What is the first derivative of n(k) wrt k? -8*k**3 Let f(k) be the second derivative of k**11/55440 - k**7/2520 + k**4/4 - k. Let m(n) be the third derivative of f(n). What is the third derivative of m(b) wrt b? 120*b**3 Let s(k) = 12*k**3 - 6*k**2 - 4*k + 6. Let l(m) = -23*m**3 + 11*m**2 + 7*m - 11. Let z(r) = 6*l(r) + 11*s(r). What is the second derivative of z(x) wrt x? -36*x Let k(s) be the second derivative of -17*s**4/12 + 25*s**2 + 25*s. What is the derivative of k(j) wrt j? -34*j Find the third derivative of -30*i**3 + 5*i**2 - 4*i**2 + 2*i**2 + 12*i**2 wrt i. -180 Let w(f) be the first derivative of f**8/336 - f**6/90 + 7*f**3/3 + 8. Let s(l) be the third derivative of w(l). Find the third derivative of s(c) wrt c. 120*c Find the second derivative of 0*q**3 + 0*q + q + 6*q**3 wrt q. 36*q Suppose -3*z = 5*p - 3*p + 9, -z + 7 = 4*p. Let x(g) be the second derivative of 0 - 3/2*g**2 + 1/6*g**p + g. Find the first derivative of x(u) wrt u. 1 Let s(z) be the first derivative of z**8/280 + 5*z**4/24 + 4*z**3/3 + 3. Let p(k) be the third derivative of s(k). What is the derivative of p(y) wrt y? 24*y**3 Let z(j) be the second derivative of -5*j**4/12 + j**3/6 - j. Find the second derivative of z(w) wrt w. -10 Let h(s) be the third derivative of s**8/10080 - s**6/360 + s**5/60 + 3*s**2. Let x(k) be the third derivative of h(k). Find the first derivative of x(l) wrt l. 4*l Let z be 1/(-1) - (0 + -4). What is the third derivative of 2*s**2 + z*s**4 + 0*s**2 + 3*s**2 - s**2 wrt s? 72*s Let u(i) be the third derivative of -5*i**4/24 - i**3/2 - 8*i**2. Differentiate u(n) with respect to n. -5 Suppose 2*s = -3*s + 20. Differentiate -3 + 2 + 0*o + s*o wrt o. 4 Let w(t) = -t**4 - t. Let b(h) = -9*h**4 + 5*h. Let g(j) = -b(j) + 3*w(j). Find the second derivative of g(n) wrt n. 72*n**2 Suppose 7*i + 10 = 3*i - 5*z, 11 = -i + 3*z. Let t = -2 - i. Find the second derivative of 4*l**5 - 2*l**5 - t*l + 4*l wrt l. 40*l**3 Let p(r) = r**3 - r**2 - r. Let t(g) = 49*g**4 + 3*g**3 - 3*g**2 - 3*g - 20. Let m(l) = -3*p(l) + t(l). What is the derivative of m(x) wrt x? 196*x**3 Let q(j) be the third derivative of 1/35*j**7 + 0*j**6 + 0*j**4 + 0*j**3 - 7/60*j**5 + 0 + 2*j**2 + 0*j. Find the third derivative of q(v) wrt v. 144*v Let f(m) be the first derivative of 39*m**4/4 + 15*m**2/2 + 35. What is the second derivative of f(v) wrt v? 234*v Let i(j) be the first derivative of 18*j**5/5 - 2*j - 18. What is the first derivative of i(u) wrt u? 72*u**3 Let a be -3*((-12)/(-9) - 2). Suppose 10 = -y - 3*s, a*y - 12 = s + s. What is the first derivative of -4 - 1 + 0*u**2 + 1 - 4*u**y wrt u? -8*u Let z(c) = 2*c**3 - 5*c**2 - 4*c + 1. Let k be z(4). Suppose k = 5*p - 2*w, p - 3*p - 5*w - 10 = 0. Differentiate -u**2 - 3 + 0*u**2 + p with respect to u. -2*u What is the first derivative of 2*g**4 + 7*g - g + 10 - 6*g wrt g? 8*g**3 Let f(q) be the second derivative of 0*q**2 + 0*q**5 + 0 - 3*q - 1/10*q**6 + 0*q**3 + 1/4*q**4. What is the third derivative of f(h) wrt h? -72*h Suppose 5*w - 8 = w. Find the third derivative of -7*b**2 - 7*b**w + 17*b**2 + b**2 + 2*b**3 wrt b. 12 Let j(d) be the second derivative of d**6/5 + 2*d**4/3 - 3*d. What is the third derivative of j(w) wrt w? 144*w Let c(s) = -s**2 + s - 2. Let t(x) = -24*x**2 - 63*x + 4. Let k(o) = -2*c(o) - t(o). Find the second derivative of k(h) wrt h. 52 Let a(u) be the second derivative of -19*u**5/20 - 9*u**2/2 + 7*u. Differentiate a(c) with respect to c. -57*c**2 Suppose y = -2*y. Let h be (-5)/(y - (-1 - -2)). Find the second derivative of -n - n + n - n**h wrt n. -20*n**3 Let b(i) = i**3 + 2*i**2 - 5*i - 3. Let y be b(-3). Let a be y - (-2 - (-6)/3). Find the first derivative of -2 + 1 + 3*k**a - 5*k**3 wrt k. -6*k**2 Suppose -2*n - 20 = -7*n. Let q(l) be the first derivative of 0*l**2 + 0*l**4 + n*l - 1 - 1/5*l**5 + 0*l**3. Find the first derivative of q(g) wrt g. -4*g**3 Let u(b) be the second derivative of 0 + 1/3*b**3 + 1/10*b**5 + 0*b**2 - 3*b + 0*b**4. Find the second derivative of u(z) wrt z. 12*z Let i(k) = 33*k**4 - 28*k**2 + 2. Let v(p) = -p**2 - 1. Let o(l) = i(l) + 2*v(l). Find the third derivative of o(y) wrt y. 792*y Suppose 4*j + 7 = 23. Find the second derivative of 5*h + 4*h**5 - j*h**5 - 4*h**5 - 10*h wrt h. -80*h**3 Let a(h) be the first derivative of -2*h - 3/5*h**5 + 0*h**4 - 2 + 0*h**2 + 0*h**3. Differentiate a(w) with respect to w. -12*w**3 Let f be (-1 - -1) + (-1)/1. Let p(j) = j + 6. Let k = -9 + 14. Let b(v) = 1. Let l(n) = f*p(n) + k*b(n). What is the derivative of l(y) wrt y? -1 Let f(l) = -l**3 + 5*l**2 - 4*l + 3. Let h be f(4). Find the second derivative of -4*g**3 - 4*g + 3*g**h + 2*g**3 + 2*g wrt g. 6*g What is the third derivative of -5*l**2 + 7*l**2 + l**4 + 4*l**4 wrt l? 120*l Let d = 40 - 28. Let g(b) = -b + 17. Let i be g(d). What is the third derivative of i*z**2 - 3*z**2 + 0*z**5 - z**5 + 0*z**5 wrt z?
{ "pile_set_name": "DM Mathematics" }
vative of -506439080*p**5 + 4*p**2 + 17601807. -30386344800*p**2 What is the third derivative of 6150268*m**4 + 3781305*m**2 wrt m? 147606432*m Find the second derivative of -866*n**5 + 2*n**3 + 1680*n**2 - 134806076*n. -17320*n**3 + 12*n + 3360 What is the second derivative of 1322568*m**5 + 2*m**3 + 2930898*m wrt m? 26451360*m**3 + 12*m Find the third derivative of -61574259*k**3 + 2*k**2 + 4*k + 3628092. -369445554 Find the second derivative of 12*r**4*z + 1846482*r**2*z - 3*r - 4083824*z wrt r. 144*r**2*z + 3692964*z Find the second derivative of -3*o**3 + 67035945*o**2 + 14592*o - 12654. -18*o + 134071890 Differentiate 18572400*k - 131080996 wrt k. 18572400 What is the first derivative of a**2*u**2 - 490792*a**2*u + 132*u**2 - 3*u + 124 wrt a? 2*a*u**2 - 981584*a*u What is the third derivative of -847429728*n**3 - 2*n**2 - 9*n - 15792189? -5084578368 What is the third derivative of 1584*a**5 - 238712*a**4 - 18*a**2 + 2468768*a? 95040*a**2 - 5729088*a What is the first derivative of 1684890*b*h*o + 4*b*h - 71271*b*o - 3*h*o - 803*o wrt h? 1684890*b*o + 4*b - 3*o Find the second derivative of -27671706*o**3 + 106966936*o wrt o. -166030236*o Find the second derivative of 4004353*r**2*z**2 + 129879*r**2 - 41*z wrt z. 8008706*r**2 Find the third derivative of -39313529*f**5*k + f**5 - f**2*k - 6*f**2 - 2*f*k + 3*f + 1990*k - 19 wrt f. -2358811740*f**2*k + 60*f**2 Find the third derivative of -5950*z**5 + 337*z**4 + 20517120*z**2 wrt z. -357000*z**2 + 8088*z Differentiate 1104*r**2*v - 2214*r**2 - r - 2436814*v - 39 wrt r. 2208*r*v - 4428*r - 1 What is the second derivative of 2*m**4 - 376*m**3 + 5240*m**2 + 7*m - 986281 wrt m? 24*m**2 - 2256*m + 10480 What is the second derivative of -151523876*n**3 + 2*n + 384240540? -909143256*n Find the second derivative of -22*c**4 + 12335*c**3 - 4*c**2 - 446534908*c wrt c. -264*c**2 + 74010*c - 8 Find the first derivative of 184*h*q*w**2 + 132*h*w**2 + h*w + 364*h - 374026*q*w**2 + 7 wrt q. 184*h*w**2 - 374026*w**2 What is the derivative of -b**3 - 78*b**2 + 145646*b + 153548601? -3*b**2 - 156*b + 145646 Find the second derivative of 1581*j**5*k - 4350*j**2*k**2 - 8*j*k + 6821*k**2 + k - 41 wrt j. 31620*j**3*k - 8700*k**2 What is the second derivative of -55*a**4 - 568283*a**3 + 78360295*a? -660*a**2 - 3409698*a What is the first derivative of -1007363*r*s + 49256829*r + 32*s wrt s? -1007363*r + 32 Find the second derivative of 469129108*d**4 - 466353*d + 218. 5629549296*d**2 What is the third derivative of 212095567*y**6 + 107157183*y**2 wrt y? 25451468040*y**3 What is the third derivative of 32*b**2*s**3 + b**2 - 2493237*b*s**3 - 43556516*b*s**2 wrt s? 192*b**2 - 14959422*b What is the first derivative of -3186629*g**3 + 3*g - 5484295 wrt g? -9559887*g**2 + 3 What is the first derivative of 12*g**2*j*q**3 - 117602*g*j + 3076*j*q**3 - 407*q**3 + 10*q**2 wrt g? 24*g*j*q**3 - 117602*j What is the second derivative of 99293293*s**2 - 183782*s + 44 wrt s? 198586586 Differentiate -2877*c*m**3 - 13874*c*m - 412*m**3 - 2*m**2 + 159*m + 371 wrt c. -2877*m**3 - 13874*m Differentiate -21713499*n**3 + 9139723 with respect to n. -65140497*n**2 What is the second derivative of -172*b**2*s + 1077*b**2 - 271974*b*s + 2*s - 7 wrt b? -344*s + 2154 What is the second derivative of 3*i**3 + 475984*i**2 + 1062292*i - 9? 18*i + 951968 Find the third derivative of -2*a**2*x**3 - a**2*x**2 + 3*a**2 - 14788*a*x**3 - 2*a*x**2 - 15*a*x + 425*x**3 - 5751*x**2 wrt x. -12*a**2 - 88728*a + 2550 Find the second derivative of -4577093*t**5 - 60822*t - 38. -91541860*t**3 What is the first derivative of -7*h**3 - 113305*h + 91525442 wrt h? -21*h**2 - 113305 Find the second derivative of -188*o*t**2*v - 2*o*t**2 - 10*o*t*v - 128577*o + 320165*t**2 - 19*t*v wrt t. -376*o*v - 4*o + 640330 Find the second derivative of 5893800*f**3 + 5220771*f wrt f. 35362800*f What is the first derivative of 181516*n**3 - 5*n**2 + 19427928? 544548*n**2 - 10*n What is the second derivative of 5315689*i**2 + 923*i + 1352? 10631378 Find the third derivative of 1026*d**3*h**3 + 77205*d**3*h**2 - 15*d**2*h**2 - d**2 - 1263*d*h**6 wrt h. 6156*d**3 - 151560*d*h**3 What is the third derivative of 3732*i**4*t + 891*i**3*t + 2*i**3 + 135561549*i**2*t - 2*i**2 - i*t wrt i? 89568*i*t + 5346*t + 12 What is the third derivative of -15138787*f**3*p**2 - 1297*f**2*p - f**2 + 44*f*p + 4*p**2 + 47*p wrt f? -90832722*p**2 Differentiate -254231217*i**2 - 58878064. -508462434*i Find the third derivative of -8713966*l**5 - 7*l**4 + 110*l**2 - 57802*l. -522837960*l**2 - 168*l What is the first derivative of -158864702*d*i - 55881990*i wrt d? -158864702*i What is the third derivative of -12199227*q**4 + 2086068*q**2 wrt q? -292781448*q What is the derivative of 17052065*d**4*f - d**2*f - 27228726*f wrt d? 68208260*d**3*f - 2*d*f Find the second derivative of 1799770*d**2 - 2069399*d - 2 wrt d. 3599540 Differentiate 2*l**3 + 58503678*l + 110237947 with respect to l. 6*l**2 + 58503678 Find the third derivative of -288949602*o**5 - 87*o**2 - 1279*o + 9 wrt o. -17336976120*o**2 What is the first derivative of 20803071*u + 17530805? 20803071 What is the second derivative of 4*k**2*t**3 - 953*k**2*t**2 + 13*k**2 - 6*k*t**3 + 2*k*t**2 + 35*k + 234*t**3 + 1 wrt k? 8*t**3 - 1906*t**2 + 26 What is the third derivative of 163838814*z**5 - 69467361*z**2 wrt z? 9830328840*z**2 Find the third derivative of 60*d*o**4 + 8*d*o**2 + 4*o**5*v - 57*o**3*v - 20647*o**2*v - 29*o*v wrt o. 1440*d*o + 240*o**2*v - 342*v What is the third derivative of 775*h**2*u**3 - h**2*u + 4*h*u**4 - 3745033*h*u**2 - 547*u**4 wrt u? 4650*h**2 + 96*h*u - 13128*u What is the third derivative of -148649652*g**4 + 182*g**2 - 35866*g - 1? -3567591648*g What is the second derivative of -844979590*b**3*p**2 - 611338*b**3 - b*p - 2*b wrt p? -1689959180*b**3 What is the third derivative of -10243*a**6 - 190*a**5 - 2*a**2 + 9704586*a wrt a? -1229160*a**3 - 11400*a**2 Find the third derivative of -10*c*d**4 - 15*c*d**3 - 2*c*d**2 - 6*c*d - 2*c + 2*d**4 - 300*d**3 + 45*d**2 + 32*d wrt d. -240*c*d - 90*c + 48*d - 1800 What is the first derivative of 6775744*t**2 + 2*t + 35367964? 13551488*t + 2 Find the second derivative of -13504007*t**3 - 147*t + 85444. -81024042*t What is the second derivative of -29040711*h**3*x**2 - 15994*h**3*x - 1732*h**2*x wrt x? -58081422*h**3 What is the first derivative of 25*d*l**2 - 996700*d*l - 953*l**2 + 4*l - 2 wrt d? 25*l**2 - 996700*l What is the second derivative of 82451*l**2 - 6*l - 235777? 164902 Differentiate -8119191*i**3 - 3*i**2 + 64745937 wrt i. -24357573*i**2 - 6*i What is the first derivative of 2210394*v**4 - 2621349? 8841576*v**3 What is the second derivative of 830*d**2*y**2 - d**2*y + 2*d*y**2 + 2*d*y + 43*d + 226*y**2 + 56410 wrt y? 1660*d**2 + 4*d + 452 Find the first derivative of -119*u**4 + 3*u**3 - 387*u**2 + 7403450. -476*u**3 + 9*u**2 - 774*u Find the third derivative of o**4 - 13632588*o**3 + 6978*o**2 + 406 wrt o. 24*o - 81795528 Find the first derivative of -816315017*o**2 - 116617699 wrt o. -1632630034*o Differentiate -307827309*t**3 - 931960368 wrt t. -923481927*t**2 Find the second derivative of 68732*j**3 + 11*j**2 + 10469209*j. 412392*j + 22 What is the third derivative of 6*q*u**3 + 8526*q*u*w + 92*q*w**3 + 57629291*u**3*w**3 - 23*u**2 wrt u? 36*q + 345775746*w**3 What is the second derivative of h**3*m - 6034*h**2*m**3 - 8*h**2*m**2*w + 27*h*m**3*w - 4*h*m*w - 3*h*m - m**3 + 40*m**2*w + 18*w wrt h? 6*h*m - 12068*m**3 - 16*m**2*w Find the second derivative of 12118*n**2*t**3 - 42262*n**2*t**2*z**3 - 65*n*t**3 + n*t**2*z**3 + 53779*n*t**2*z - t**3*z**2 wrt n. 24236*t**3 - 84524*t**2*z**3 What is the second derivative of -41076571*x**3 + 4*x**2 + 223703855*x wrt x? -246459426*x + 8 What is the third derivative of 26786295*d**4 + 19059798*d**2? 642871080*d What is the third derivative of 6208722*b**4 + 4*b**3 + 268904545*b**2? 149009328*b + 24 What is the third derivative of -147*h**2*i**3 - 319*h**2*i**2 - 3*h**2*i - 61484*h**2 - 3036*h*i**3 + 4*i**3 wrt i? -882*h**2 - 18216*h + 24 What is the second derivative of -3891245*o**4 + 7*o - 559189 wrt o? -46694940*o**2 Differentiate -262333*l**4 + 43*l + 67414785. -1049332*l**3 + 43 What is the derivative of -187*b**2
{ "pile_set_name": "DM Mathematics" }
at are the prime factors of 277? 277 What are the prime factors of 1153? 1153 List the prime factors of 609. 3, 7, 29 What are the prime factors of 1398? 2, 3, 233 List the prime factors of 13044. 2, 3, 1087 What are the prime factors of 1075? 5, 43 List the prime factors of 41717. 13, 3209 What are the prime factors of 6666? 2, 3, 11, 101 List the prime factors of 2905. 5, 7, 83 List the prime factors of 103. 103 What are the prime factors of 1693? 1693 List the prime factors of 63088. 2, 3943 What are the prime factors of 975? 3, 5, 13 List the prime factors of 439. 439 What are the prime factors of 799? 17, 47 What are the prime factors of 1102? 2, 19, 29 What are the prime factors of 61541? 19, 41, 79 List the prime factors of 2145. 3, 5, 11, 13 List the prime factors of 3761. 3761 List the prime factors of 731. 17, 43 List the prime factors of 1065. 3, 5, 71 List the prime factors of 8305. 5, 11, 151 List the prime factors of 7063. 7, 1009 What are the prime factors of 1522? 2, 761 List the prime factors of 517. 11, 47 What are the prime factors of 3077? 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2, 7, 19 What are the prime factors of 82781? 82781 List the prime factors of 1284. 2, 3, 107 List the prime factors of 4389. 3, 7, 11, 19 What are the prime factors of 4574? 2, 2287 What are the prime factors of 2121? 3, 7, 101 List the prime factors of 2602. 2, 1301 What are the prime factors of 1088? 2, 17 List the prime factors of 123747. 3, 13, 19, 167 List the prime factors of 42265. 5, 79, 107 List the prime factors of 20483. 20483 List the prime factors of 20742. 2, 3, 3457 List the prime factors of 42518. 2, 7, 3037 What are the prime factors of 1096? 2, 137 What are the prime factors of 2640? 2, 3, 5, 11 List the prime factors of 227. 227 List the prime factors of 23812. 2, 5953 List the prime factors of 11237. 17, 661 What are the prime factors of 3499? 3499 List the prime factors of 18. 2, 3 List the prime factors of 333. 3, 37 What are the prime factors of 1141? 7, 163 List the prime factors of 10264. 2, 1283 List the prime factors of 16077. 3, 23, 233 List the prime factors of 6836. 2, 1709 What are the prime factors of 1299? 3, 433 List the prime factors of 8890. 2, 5, 7, 127 List the prime factors of 143195. 5, 13, 2203 List the prime factors of 1185. 3, 5, 79 What are the prime factors of 1329? 3, 443 What are the prime factors of 6669? 3, 13, 19 What are the prime factors of 3461? 3461 What are the prime factors of 2294? 2, 31, 37 List the prime factors of 11398. 2, 41, 139 List the prime factors of 2103. 3, 701 List the prime factors of 380. 2, 5, 19 What are the prime factors of 16179? 3, 5393 List the prime factors of 105403. 109, 967 What are the prime factors of 265? 5, 53 List the prime factors of 2127. 3, 709 List the prime factors of 6360. 2, 3, 5, 53 List the prime factors of 813. 3, 271 What are the prime factors of 19739? 19739 List the prime factors of 59355. 3, 5, 1319 List the prime factors of 10487. 10487 List the prime factors of 44. 2, 11 List the prime factors of 70. 2, 5, 7 List the prime factors of 16139. 16139 List the prime factors of 10243. 10243 List the prime factors of 1582. 2, 7, 113 What are the prime factors of 138? 2, 3, 23 What are the prime factors of 17835? 3, 5, 29, 41 What are the prime factors of 72305? 5, 14461 List the prime factors of 1183. 7, 13 What are the prime factors of 5930? 2, 5, 593 What are the prime factors of 9360? 2, 3, 5, 13 What are the prime factors of 13860? 2, 3, 5, 7, 11 List the prime factors of 331. 331 List the prime factors of 1223. 1223 What are the prime factors of 561? 3, 11, 17 List the prime factors of 25499. 43, 593 What are the prime factors of 31916? 2, 79, 101 List the prime factors of 1496. 2, 11, 17 List the prime factors of 20923. 7, 61 List the prime factors of 14809. 59, 251 What are the prime factors of 57126? 2, 3, 9521 List the prime factors of 2285. 5, 457 List the prime factors of 88099. 11, 8009 What are the prime factors of 668? 2, 167 List the prime factors of 3425. 5, 137 What are the prime factors of 1299? 3, 433 What are the prime factors of 16212? 2, 3, 7, 193 What are the prime factors of 50883? 3, 7, 2423 List the prime factors of 37958. 2, 18979 List the prime factors of 10713. 3, 3571 What are the prime factors of 1775? 5, 71 List the prime factors of 45857. 7, 6551 What are the prime factors of 1225? 5, 7 List the prime factors of 3148. 2, 787 List the prime factors of 2025. 3, 5 What are the prime factors of 11515? 5, 7, 47 List the prime factors of 7828. 2, 19, 103 List the prime factors of 1564. 2, 17, 23 List the prime factors of 25629. 3, 8543 List the prime factors of 1998. 2, 3, 37 List the prime factors of 4807. 11, 19, 23 What are the prime factors of 2241? 3, 83 What are the prime factors of 94286? 2, 47143 What are the prime factors of 37? 37 What are the prime factors of 5946? 2, 3, 991 List the prime factors of 78098. 2, 17, 2297 What are the prime factors of 660? 2, 3, 5, 11 List the prime factors of 28433. 28433 What are the prime factors of 13289? 97, 137 List the prime factors of 133. 7, 19 List the prime factors of 37029. 3, 12343 What are the prime factors of 3252? 2, 3, 271 What are the prime factors of 542? 2, 271 What are the prime factors of 2461? 23, 107 List the prime factors of 997. 997 List the prime factors of 809. 809 What are the prime factors of 27289? 29, 941 What are the prime factors of 2493? 3, 277 List the prime factors of 1615. 5, 17, 19 List the prime factors of 15039. 3, 557 List the prime factors of 679. 7, 97 What are the prime factors of 92144? 2, 13, 443 List the prime factors of 656. 2, 41 What are the prime factors of 18710? 2, 5, 1871 What are the prime factors of 10867? 10867 What are the prime factors of 98480? 2, 5, 1231 List the prime factors of 31718. 2, 15859 List the prime factors of 21499. 21499 List the prime factors of 101. 101 List the prime factors of 12038. 2, 13, 463 What are the prime factors of 436? 2, 109 What are the
{ "pile_set_name": "DM Mathematics" }
11*a + 8. Let x(k) = 319*k**2 - 319*k - 231. Let u(l) = -88*t(l) - 3*x(l). Give -3*u(n) + 7*w(n). 2*n**2 - 2*n - 2 Let u(i) = 7*i - 4. Let n(z) = -1 + 5 + 2 - 10*z. Give -5*n(a) - 7*u(a). a - 2 Let j(z) = 2*z**2 - 2*z + 7. Let n = -20 - -25. Let a(p) = -p**2 + p - 3. What is n*a(s) + 2*j(s)? -s**2 + s - 1 Suppose -2*r - 9 = 4*g + r, 9 = -5*g - 3*r. Suppose g = 2*b - 4 + 6. Let u(k) = -k**2 - 2*k - 4. Let i(y) = 1. What is b*u(p) - 3*i(p)? p**2 + 2*p + 1 Let o(j) = -2*j + 4. Let h(r) = -3*r - 3. Let q(w) = 1. Let x(n) = h(n) + 6*q(n). Give -3*o(l) + 4*x(l). -6*l Let b(q) = 7*q - 44. Let o(g) = 20*g - 131. What is -17*b(i) + 6*o(i)? i - 38 Let y(x) = -6*x + 7. Let h be -3*(-2)/(-2) + -1. Let t(f) be the first derivative of 5*f**2/2 - 6*f - 18. Determine h*y(k) - 5*t(k). -k + 2 Let l(i) = -i**3 - 5*i**2 + 2*i + 4. Let z(w) = 1. Determine -l(y) + 6*z(y). y**3 + 5*y**2 - 2*y + 2 Let s(t) = t. Let d = 8 + -6. Let q(p) = -3*p. What is d*s(b) + q(b)? -b Let r(n) = 5*n**2 + 7*n. Let k = -2 + 6. Let f(t) be the second derivative of t**4/4 + 2*t**3/3 - 7*t. What is k*r(s) - 7*f(s)? -s**2 Suppose -g = -1 + 5. Let w(y) be the second derivative of 2*y**2 - y + 0*y**3 + 1/6*y**4 + 0. Let s(j) = -3*j**2 - 5. What is g*w(h) - 3*s(h)? h**2 - 1 Let b(a) = 214*a**2 - 11. Let h(s) = 43*s**2 - 2. Give -2*b(r) + 11*h(r). 45*r**2 Let s(b) = 57*b - 5. Let k(j) = -142*j + 12. Calculate -5*k(h) - 12*s(h). 26*h Let a(f) = -2*f**3 - 3*f - 2. Let s = 3 + -6. Suppose 0 = 4*o - 2 - 6. Let b(w) = 4 + 2*w**3 + 7*w + w**3 - w**3 + o*w**3. Calculate s*b(v) - 7*a(v). 2*v**3 + 2 Let q(z) = 8*z**2 - z + 1. Let a(w) = 17*w**2 - 2*w + 2. Determine -6*a(f) + 13*q(f). 2*f**2 - f + 1 Let w(a) = -a**2 - 2*a - 7. Let y(t) be the first derivative of t**3/3 + t**2 + 6*t + 1. What is -4*w(q) - 5*y(q)? -q**2 - 2*q - 2 Let f(a) = -17*a**2 + a + 2. Let l(j) = 8*j**2 - 1. Determine -6*f(t) - 13*l(t). -2*t**2 - 6*t + 1 Let z(k) = -516*k**3. Let i(h) = 47*h**3. Give -32*i(u) - 3*z(u). 44*u**3 Let w(c) = -4*c + 9. Let o be ((-41)/(-1))/(0 - -1). Let t = 59 - o. Let g(u) = -u + 2*u + 0*u + 0*u - 2. Give t*g(l) + 4*w(l). 2*l Let m(q) = -q**2 + 4*q + 3. Let r(v) = -2*v**2 + 4*v + 4. Calculate -3*m(y) + 2*r(y). -y**2 - 4*y - 1 Let d(o) = -o + 2. Let w = -10 - -14. Let j(v) = 5*v - 9. Let r(f) = -11*f + 20. Let b(z) = -13*j(z) - 6*r(z). What is w*d(m) + 3*b(m)? -m - 1 Let h(w) = -w - 1. Let l(p) = p - 42. Give -2*h(b) - l(b). b + 44 Let x(v) = -44*v + 31. Let b(o) = 9*o - 6. Let y(f) = -11*b(f) - 2*x(f). Let r(a) = 5*a - 2. Calculate -7*r(j) - 3*y(j). -2*j + 2 Let w = 14 + -16. Let s = 4 + -2. Let j(u) = 1 + 2 - s*u - u + 2*u**3. Let m(l) = -2*l**3 + 2*l - 2. Calculate w*j(y) - 3*m(y). 2*y**3 Let y(h) = h - 2. Let w be 9/(-2)*(-40)/90. Let x(j) = 6*j - 11. Determine w*x(i) - 11*y(i). i Let v(s) = -s**2 - 3*s. Let h(p) = p**2 - 1. Let o(x) = -x**3 - 2*x**2 + 2*x + 2. Let l(z) = -2*h(z) - o(z). What is 3*l(j) - 2*v(j)? 3*j**3 + 2*j**2 Let v(n) = -16 + 6*n**3 - n**2 + 15*n**2 - 4*n**2 + 6*n**2. Let o(h) = 2*h**3 + 5*h**2 - 5. Calculate 16*o(x) - 5*v(x). 2*x**3 Let v(c) = c**3 + c**3 - c**2 - 7 - 6*c**2. Let i(n) = 3*n**3 + 7*n**2 - 4*n**3 - 3*n**2 + 0*n**2 + 4. Suppose 0*b = -3*b + 21. Calculate b*i(s) + 4*v(s). s**3 Let u(r) = -24*r - 130. Let q(b) = -5*b - 26. Determine -14*q(v) + 3*u(v). -2*v - 26 Let b(h) = 13*h**2 - 4*h. Let f(r) = -32*r**2 + 10*r. Determine -12*b(u) - 5*f(u). 4*u**2 - 2*u Let z(d) = d**3 - d**2 + 3*d + 5. Let m(y) = -2*y**3 + 3*y**2 - 8*y - 14. Give 3*m(g) + 8*z(g). 2*g**3 + g**2 - 2 Let v(q) = q + 8. Let a(j) = -1. Give -4*a(z) - v(z). -z - 4 Let w(o) = -6*o - 9. Let m(g) = -4 + 0 + 7 + 2*g. Calculate 8*m(r) + 3*w(r). -2*r - 3 Let q(h) = 5*h**3 - 3*h**2 + 2*h. Let f(g) = -9*g**3 + 5*g**2 - 5*g. What is 3*f(o) + 5*q(o)? -2*o**3 - 5*o Let g(t) = -2. Let d(m) be the third derivative of m**6/120 + m**5/60 - 5*m**3/6 - 13*m**2. What is 2*d(s) - 5*g(s)? 2*s**3 + 2*s**2 Let a(b) = -1. Let r(z) = -3*z + 5. Let v(j) = 2*a(j) - r(j). Let i(g) be the first derivative of -2*g - 2 + 1/2*g**2. What is -7*i(o) + 2*v(o)? -o Let v(l) = 6*l**3 - 11*l. Let y(i) = i - 2. Let c be y(6). Suppose c*m - 2 + 10 = 0. Let d(j) = j**3 - 2*j. What is m*v(t) + 11*d(t)? -t**3 Let o(g) = 4*g - 4. Let r(i) = 1. Give -o(n) - 5*r(n). -4*n - 1 Let i(k) = -6*k**3 - 9*k**2 - 9*k. Let m(b) = 7*b**3 + 8*b**2 + 8*b. Calculate -6*i(w) - 7*m(w). -13*w**3 - 2*w**2 - 2*w Let j be (-12)/(-20) - 2/(-5). Let d(u) be the third derivative of u**3/2 - 2*u**2 + 7. Let c(q) = -q + 1. Calculate j*d(o) - 3*c(o). 3*o Let l(i) = -2*i**3 - 8*i - 6. Let w(h) = -2*h**3 - 7*h - 5. Determine 5*l(p) - 6*w(p). 2*p**3 + 2*p Let s(b) = -b + 1. Let r = 12 - 11. Let z(m) = -2*m + 6. Give r*z(t) - 4*s(t). 2*t + 2 Suppose -5*r + 14 = -3*p, 8 = -4*p - 4*r - 0. Let j(a) = -2*a - 1. Let m(c) = -3*c - 2. What is p*m(y) + 4*j(y)? y + 2 Let h(m) = -m**2 + 5*m + 7. Let k(y) = y**2 - 3*y - 5. Let r(o) = 5*h(o) + 8*k(o). Let i(z) = -3*z**2 - z + 6. Give -5*i(t) - 6*r(t). -3*t**2 - t Suppose -20*a - 6 = -23*a. Let m(l) = l**2 - 5*l + 2. Let c(t) = -t**2 + 6*t - 3. What is a*c(w) + 3*m(w)? w**2 - 3*w Let r(z) = -11*z**3 - 6*z**2 - 3*z. Let l(j) = -j**3 - j**2. Calculate -6*l(o) + r(o). -5*o**3 - 3*o Let s(o) = 0*o - 11*o**2 + 0*o + 2*o. Let x = 8 + -6. Let u(t) = 7*t**x - t - 3*t**2 + 3*t**2. Calculate 5*s(g) + 8*u(g). g**2 + 2*g Suppose 0*s = -4*t + 2*s + 16, 4*t + s - 22 = 0. Let j(k) = k. Let g(a) = 3*a**2 - 5*a. What is t*j(y) + g(y)? 3*y**2 Suppose -60 = -y - 3*y. Let v(u) = 27*u**3 - 15. Suppose 4*o - 3*o + 1 = 5*r, 4 = 2*o - 4*r. Let t(a) = -7*a**3 + 4. What is o*v(d) + y*t(d)? 3*d**3 Let x(h) = -3. Let l(b) = -b - 13. Suppose 6*m - 45 = m. Let k be 6*(10/6)/(-5). Give k*l(q) + m*x(q). 2*q - 1 Let w(m) = -2*m**3 + 6*m**2 - 2. Let a(k) = -2 + 7*k**2 + 0*k**3 + 0*k**3 + 0*k**2 - 3*k**3. What is 4*a(d) - 5*w(d)? -2*d**3 - 2*d**2 + 2 Let k(m) = -11*m**2. Let d(l) = -54*l**2. Determine 4*d(g) - 22*k(g). 26*g**2 Let w(h) = 7*h**2 - 3*h - 7. Let o(x) = -x**2 + x + 1. Determine -3*o(l) - w(l). -4*l**2 + 4 Let z(d) = 11*d**3 - d**2 - 4*d - 9. Let u(j) = -6*j**3 + j**2 + 2*j + 5. Let p(i) = -5*u(i) - 3*z(i). Let t(w) = w**2 - w - 1. Give p(n) + 2*t(n). -3*n**3 Let f be 1 + 4/2 - -1. Let t(u) = 52*u**3 + 53*u**3 - 3 + 49*u**3 - 159*u**3 + u. Let h(o) = -o**3 - 1. What is f*h(d) - t(d)? d**3 - d - 1 Let t(s) = 570*s**3 - 48*s**2 + 48*s - 48. Let g(d) = -60*d**3 + 5*d**2 - 5*d + 5. Give 48*g(j) + 5*t(j). -30*j**3 Let u(i) = -35*i**2 + 2*i. Let m(p) = 52*p**2 - 3*p. Give -5*m(g) - 8*u(g). 20*g**2 - g Let j(i) = 7*i**3 + 6*i**2 - 2*i + 7. Suppose -44 - 2 = -4*u - s, 2*u = -s + 24. Let h(g) = -13*g**3 - 11*g**2 + 4*g - 13. Determine u*j(r) + 6*h(r). -r**3 + 2*r - 1 Suppose 3*g = 4*u - 28, 0 = -2*u + 5*u - 2*g - 20. Let v(l) = 2*l + 3. Let p(r) = 2*r + 2. Give u*v(f) - 5*p(f). -2*f + 2 Let g(v) = 7*v + 5. Let s(h) = 24*h + 18. Let t(d) = 18*g(d) - 5*s(d). Let q(m) = m. Determine 4*q(f) - t(f). -2*f Let c(i) = 2*i + 2. Let t(o) = -10*o - 11. Give -22*c(k) - 4*t(k). -4*k Let f(i) = i**3 + 7*i - 2*i**2 + 9*i**2 - 7*i - 7*i. Let l(s) = -s**3 - 4*s**2 + 4*s. Determine -4*f(b) - 7*l(b). 3*b**3 Let o(n) = 7*n - 29. Let d(u) = -11*u + 44. Determine 5*d(x) + 8*o(x). x - 12 Let v(h) = 17*h**3 - 3*h**2 + 13. Let t(s) = 6*s**3 - s**2 + 4. Determine 7*t(f) - 2*v(f). 8*f**3 - f**2 + 2 Let r(h) = -5*h**2 - 3*h. Let c(p) = -3*p**2 - 2*p. Suppose -f = -8*a + 3*a + 20, 3*a - 4*f = 12. Suppose -10 = -a*g + 2*g. What is g*r(u) - 8*c(u)? -u**2 + u Let y(l) = -2*l + 1. Suppose -4*t + 15 = 3. Let h(v) = -v. Calculate t*h(d) - y(d). -d - 1 Let d(z) = 2*z**2 + 2*z - 3. Let l(g) = -2*g**2 - g + 2. What is -2*d(r) - 3*l(r)? 2*r**2 - r Let q(u) = -u**2 - u + 1. Let w = -23 - -25. Let k(p) = -2. Calculate w*q(d) + k(d). -2*d**2 - 2*d Let v(y) be the second derivative of -y**3/6 + y**2/2 + 2*y. Let g(u) = 30*u - 25. Determine g(i) + 25*v(i). 5*i Let p(b) = 3*b + 2. Suppose t + 6 = -1. Let w be 72/126 - (-109)/t. Let s(i) = 21*i + 15. Give w*p(h) + 2*s(h). -3*h Let q(d) = 3*d**2 + d + 2. Let c(f) = 9*f - 1. Let w(t) = t**2 - t + 1. Let h(u) = c(u) + 6*w(u). Determine 2*h(i) - 5*q(i). -3*i**2 + i Let a be 1*(1 + -4)*-5. Suppose 3*s + 6 = 3*l + a, 0 = 4*s + 5*l - 12. Let z(n) = 1 + s - 4*n - 2. Let
{ "pile_set_name": "DM Mathematics" }
et v be (-1)/2 - x/6. Suppose -v*w + 67 = -8. What is the tens digit of w? 1 Let k = 5 + 29. What is the tens digit of k? 3 Let o = 46 - 26. Suppose o = 3*j - 16. What is the units digit of j? 2 Let s(c) = -c**3 + 12*c**2 + 3. Let n be s(11). Suppose 5*x - 2*k = n, -4*x + 2*k + 2*k = -92. What is the tens digit of x? 2 Let r(q) = -q**3 - 5*q**2 + 8*q. Let j be r(-7). Suppose -j = -0*t - 3*t. Let h = -8 + t. What is the units digit of h? 6 Let d = 9 - 13. Let g be -1*3/(3/d). Suppose -4*w = -3*w - g. What is the units digit of w? 4 Suppose -29 - 61 = -3*v. What is the tens digit of v? 3 Let m = 26 + 23. What is the tens digit of m? 4 Let z be ((-2)/6)/((-3)/252). Suppose -4*f + 3*d = f - 186, 0 = 5*d - 15. Let k = f - z. What is the tens digit of k? 1 Let u = 13 + -6. Let i(p) = 7*p. Let n(x) = -6*x + 1. Let b(w) = -4*i(w) - 5*n(w). What is the units digit of b(u)? 9 Let k(c) = c**3 - 5*c**2 + 9*c + 3. Let q(y) = -3*y**3 + 10*y**2 - 18*y - 6. Let x(t) = -5*k(t) - 2*q(t). What is the tens digit of x(-6)? 1 Let y(k) = -47*k + 20. What is the tens digit of y(-4)? 0 Let z(g) = 2*g**3 - 2*g**2 + 3*g - 1. What is the tens digit of z(2)? 1 Let j(t) = -2*t**3 - 6*t**2 + 7*t + 11. What is the units digit of j(-6)? 5 Let y(j) = -j + 4. Let c be y(-5). What is the units digit of 2/(-9) + 47/c? 5 What is the units digit of (-258)/(-10) + 8/40? 6 Suppose -3*g + 15 = -0*g. What is the units digit of g? 5 Let p(a) = a**3 + 6*a**2 + 2*a - 3. Let f(u) = 7*u**3 + u**2 - 5*u + 2. Let m be f(3). Let b be m/(-35) - (-2)/7. What is the units digit of p(b)? 2 Let m = -14 + 11. Suppose 19 + 11 = -3*x + 4*n, -5*x + n = 33. What is the units digit of (20/x + -2)*m? 6 Suppose 4*y = -3*r + 2*y + 544, -5*r = -4*y - 870. What is the tens digit of r? 7 Suppose -a + 6 = -0*a. Suppose 0 = -d + a. What is the units digit of (d/4)/((-3)/(-18))? 9 Suppose -2*u + 9*w = 4*w - 22, 0 = -u - w + 25. What is the units digit of u? 1 Let d = -6 - -9. Suppose 6 = d*z + 3*y, -3 = y - 0*y. What is the units digit of z? 5 Let y be 1*((-6 - -2) + -1). Let k = y - -12. What is the units digit of k? 7 Let n(d) = 2*d**2 - 10*d + 1. Suppose 4*y - 9 = -3*r, 5*r - 3*r = 4*y + 26. What is the units digit of n(r)? 9 Let f = -5 + 6. What is the units digit of f*13 - 0/(-4)? 3 Suppose -t = 3*t - 900. What is the units digit of t? 5 Let s(u) = -u**2 - 6*u - 1. Suppose -8*j = -3*j + 30. Let f be s(j). Let a = 6 + f. What is the units digit of a? 5 Suppose -3*f + 31 = -5*x, 0 = 3*f + 2*f - 3*x - 25. Suppose l = -0*l + f. What is the units digit of l? 2 Suppose b + 2 - 4 = 0. What is the tens digit of 33/b*(-10)/(-15)? 1 Let n(a) = -a**3 - 16*a**2 - 2*a - 24. Let o be n(-16). Suppose 4 = 4*t - o. What is the units digit of t? 3 Let m(z) = z**2 + 3*z - 7. What is the tens digit of m(3)? 1 Suppose 5*a = q + q + 25, 0 = 3*q + 2*a - 10. Suppose q = 4*w - 30 - 14. What is the units digit of w? 1 Let o(c) = c**3 + 3*c**2 - 5*c - 2. Let q be o(-4). Let n be (4 - 3)/(q/6). Suppose 3*w - 14 = -s, w = 5*w - 3*s + n. What is the units digit of w? 3 Suppose -144 = 15*x - 17*x. What is the units digit of x? 2 Suppose -4 - 4 = -4*q. What is the units digit of q? 2 What is the units digit of -8*((-124)/16)/1? 2 Let s(n) be the second derivative of -n**6/720 - n**5/20 - n**4/12 + n. Let g(t) be the third derivative of s(t). What is the units digit of g(-7)? 1 Suppose 3*j + 98 = 3*r + 5, 0 = -5*r - j + 173. What is the tens digit of r? 3 Suppose 0*h = -4*h. Suppose -22 = -5*p - i + 4*i, -i + 1 = h. What is the units digit of p? 5 Let u(b) = -17*b + 23 - 23 - 14*b. What is the units digit of u(-1)? 1 Let h(z) = -z**2 + 12*z - 3. What is the units digit of h(9)? 4 What is the tens digit of 36/(-162) - 254*2/(-18)? 2 Suppose -j + 3*v + 29 = 0, -v = -4*j + 52 + 42. What is the units digit of j? 3 Suppose 3*g = 4*x - 53, x - 7 = 4*g - 2*g. Let m = 2 + x. What is the units digit of m? 9 Let x be (-24)/(-10)*20/6. Suppose -u + 27 = x. What is the units digit of u? 9 Suppose 521 = 5*p - 3*x, 0*p - x = p - 101. Suppose 32 = 5*k - p. What is the units digit of k? 7 Let x = -526 + 770. What is the hundreds digit of x? 2 Suppose 23 = -0*p + 3*p + 5*d, -4*p = d - 25. Suppose 4*k = -p + 58. What is the units digit of k? 3 Let l(n) = -2*n + 3. Let o(t) = 4*t - 5. Let d(i) = -11*l(i) - 6*o(i). Let h be d(-2). Suppose 5 = 2*k + h. What is the units digit of k? 2 Suppose 5*h - 65 - 45 = 0. What is the tens digit of h? 2 Suppose 5*b - 805 = l, -455 = -3*b - 2*l - 3*l. What is the tens digit of b? 6 Suppose -5*a + 85 = -20. Suppose -a - 47 = -4*b. What is the units digit of b? 7 Let l(t) = -t**3 + t**2. Let x = 8 + -3. Suppose 9 = -i + 3*z - 1, x*i - 10 = -5*z. What is the units digit of l(i)? 2 Let i(n) = -n**3 + 7*n**2 + 4*n - 6. Let g be i(7). What is the tens digit of 4/22 + 568/g? 2 Let u(y) = y**2 + 5*y + 9. Suppose 3*m + 18 = p, m + 2*p + 6 = p. What is the units digit of u(m)? 5 Suppose 3*l + l - 24 = 0. What is the tens digit of (-49)/(-2) - l/(-12)? 2 Suppose 4*f - 8 = -0*f. Suppose f*p = -3*p + 90. What is the units digit of p? 8 Let c = 53 + -20. What is the units digit of c? 3 Let m be (1 + -3 + -21)/(-1). Let z be 8/(-10)*(-120)/16. Suppose -5*w = 3*y - 36, -5*y + m = -z*w + 2*w. What is the units digit of y? 7 Suppose 0 = -b - b + 8. Suppose -l + 1 = -4, -b*c = -2*l + 2. What is the units digit of c/(0 + 2) - -3? 4 Suppose s + n = 1 + 1, 2 = 2*n. Let k be (1/2)/s*2. Let f = k + 7. What is the units digit of f? 8 Let m be (-2 + 3)/((-1)/9). What is the units digit of 56/9 + 2/m? 6 Suppose 1 + 422 = 3*i. Suppose -126 = -4*r + 4*u - 10, -i = -4*r - u. What is the units digit of r? 4 What is the tens digit of (5/20 + -4)*-32? 2 Suppose 215 = s + 4*d, 0 = -0*d - 2*d - 4. What is the hundreds digit of s? 2 Let n = -20 + 48. What is the tens digit of n? 2 Let n = -18 - -20. What is the units digit of n/3*42/4? 7 Let m be (12/(-10))/((-2)/(-5)). What is the units digit of 1/m - 20/(-6)? 3 Suppose 252 = 5*x + 3*y, -268 = -5*x + 5*y - 48. What is the units digit of x? 8 What is the tens digit of (42/(-2))/((-30)/40)? 2 Let v = -27 - -16. Let r = v - -5. Let i = -5 - r. What is the units digit of i? 1 Suppose -1 + 7 = 3*b. Suppose -2 = -b*c + 4*a - 6, 3*c - 19 = a. What is the units digit of c? 8 Let u(l) = -l + 1. Let y(p) = -p**3 - 3*p**2 - 7. Let h(v) = 5*u(v) + y(v). What is the units digit of h(-3)? 3 Let p(r) = -r + 1. Let o(v) = 5*v**2 - 7. Let a(s) = o(s) + 4*p(s). What is the units digit of a(-2)? 5 Let a(b) = b**3 + 4*b**2 - 5*b + 3. Let r be a(-5). Suppose 0 = -2*t + r*t - 15. What is the tens digit of t? 1 Let i(f) = f**3 - 7*f**2 + 5*f - 2. Let c be i(6). Let s be (10/15)/(2/(-6)). Let l = s - c. What is the units digit of l? 6 Let v(o) = 2*o - 8. What is the units digit of v(8)? 8 Let v(s) = -s**2 + 10*s - 6. Let w(g) = -g - 3. Let d be w(-4). Let z(l) = l - 1. Let b(j) = d*v(j) - 2*z(j). What is the units digit of b(6)? 8 Let t be (52/(-10))/((-10)/25). What is the tens digit of (7/2)/(t/52)? 1 Let o be (1*6)/(-3 + 2). Let a be 19/(-7) + o/21. What is the units digit of -25*-2*a/(-15)? 0 Suppose -3*b + 8 = -b. Suppose -r + 26 = -b*r + 4*z, -2*r + 2*z = 18. Let s = r + 13. What is the units digit of s? 3 Let r(c) = -2 + c**3 + 0*c**3 + 6 - 2 + 6*c**2 - 7*c. Let x be r(-7). Suppose y - x = 4. What is the units digit of y? 6 Let x = 31 - -8. What is the tens digit of x? 3 Let f be (-260)/(-45) - (-2)/9. What is the units digit of ((-4)/6)/(f/(-27))? 3 Let x(w) = 33*w**2 - 1. Let r(j) = -j**3 + 3*j**2 + 3*j + 3. Let y be r(4). Let h be x(y). Suppose 0 = 3*v - h + 5. What is the units digit of v? 9 Let b(x) = -2*x - 8. Let o be b(-6). Let q = o + -2. Suppose -d + 3*f = q, -3*d + 7*d = f + 3. What is the units digit of d? 1 Let a(i) = 8*i - 10. What is the units digit of a(5)? 0 Let b(w) = -w**3 - 6*w**2 - 3*w + 11. What is the tens digit of b(-6)? 2 Let t(w) = -w**2 - 20*w. What is the units digit of t(-12)? 6 Let y(f) = f**3 - 7*f**2 - 10*f + 3. Let a be -4*(-1)/(-2) - -10. Let c be y(a). Let k = c + 27. What is the tens digit of k? 1 Suppose -16*r + 1653 + 1371 = 0. What is the tens digit of r? 8 Let y be 2/6 - (-30)/(-9). Let v be 1*(2 - 3/y). Suppose 0 = j + 3*k - v, 2*j + 3*k - 8 = -2*k. What is the units digit of j? 9
{ "pile_set_name": "DM Mathematics" }
n divisor of 576 and 72? 72 Calculate the highest common factor of 240 and 10. 10 Calculate the greatest common factor of 56347 and 67. 67 What is the highest common divisor of 738 and 2050? 82 What is the greatest common divisor of 34 and 646? 34 What is the highest common factor of 532 and 28? 28 What is the greatest common factor of 22 and 616? 22 What is the highest common factor of 253 and 594? 11 Calculate the greatest common factor of 186 and 496. 62 What is the greatest common factor of 5589 and 828? 207 Calculate the highest common divisor of 1572 and 12. 12 Calculate the greatest common factor of 164 and 697. 41 Calculate the greatest common factor of 712 and 8. 8 What is the highest common divisor of 152 and 1960? 8 What is the greatest common factor of 738 and 4920? 246 Calculate the greatest common divisor of 70 and 70. 70 Calculate the greatest common factor of 68 and 4. 4 What is the highest common factor of 70 and 8630? 10 What is the greatest common factor of 6204 and 132? 132 What is the greatest common factor of 8 and 314? 2 What is the highest common divisor of 111 and 2997? 111 What is the greatest common divisor of 876 and 84? 12 What is the greatest common factor of 58178 and 38? 38 What is the highest common divisor of 9 and 603? 9 What is the highest common divisor of 143 and 88? 11 Calculate the greatest common divisor of 37 and 115. 1 What is the greatest common factor of 5 and 375? 5 What is the highest common factor of 1400 and 3780? 140 What is the highest common divisor of 294 and 1372? 98 Calculate the greatest common factor of 372 and 12. 12 Calculate the highest common divisor of 34 and 31858. 34 What is the greatest common divisor of 10927 and 147? 49 What is the highest common factor of 112 and 64? 16 What is the highest common factor of 1344 and 7? 7 What is the highest common divisor of 98 and 182? 14 Calculate the highest common factor of 1040 and 5. 5 What is the highest common divisor of 138 and 506? 46 Calculate the highest common factor of 1586 and 122. 122 Calculate the greatest common factor of 119 and 68. 17 Calculate the highest common divisor of 23867 and 116. 29 What is the greatest common factor of 40 and 230? 10 Calculate the highest common divisor of 918 and 510. 102 What is the highest common factor of 73 and 2628? 73 Calculate the highest common factor of 221 and 374. 17 What is the greatest common factor of 960 and 390? 30 Calculate the highest common divisor of 275 and 11. 11 Calculate the highest common factor of 36 and 1. 1 What is the highest common divisor of 1071 and 63? 63 Calculate the greatest common divisor of 1518 and 99. 33 What is the highest common factor of 116 and 1450? 58 Calculate the highest common factor of 10580 and 20. 20 What is the highest common factor of 315 and 360? 45 Calculate the greatest common divisor of 2596 and 44. 44 Calculate the highest common divisor of 12118 and 73. 73 Calculate the highest common factor of 416 and 64. 32 Calculate the highest common divisor of 14130 and 450. 90 Calculate the greatest common factor of 8625 and 138. 69 What is the highest common divisor of 944 and 272? 16 Calculate the highest common divisor of 251 and 35893. 251 Calculate the highest common factor of 395 and 316. 79 Calculate the greatest common factor of 24 and 132. 12 Calculate the greatest common factor of 63 and 3353. 7 What is the highest common divisor of 576 and 9? 9 What is the greatest common divisor of 32 and 416? 32 What is the highest common factor of 35 and 3095? 5 Calculate the highest common factor of 40 and 17040. 40 Calculate the greatest common divisor of 2191 and 5947. 313 Calculate the highest common factor of 44 and 176. 44 What is the greatest common factor of 16 and 528? 16 Calculate the highest common factor of 14 and 7966. 14 Calculate the highest common divisor of 1130 and 6102. 226 Calculate the greatest common divisor of 236 and 1475. 59 Calculate the greatest common factor of 54 and 1746. 18 What is the greatest common divisor of 12 and 372? 12 What is the highest common divisor of 459 and 51? 51 What is the greatest common factor of 39 and 143? 13 What is the highest common factor of 2 and 252? 2 Calculate the greatest common factor of 550 and 200. 50 What is the greatest common divisor of 682 and 242? 22 Calculate the greatest common divisor of 2 and 9704. 2 Calculate the greatest common factor of 238 and 170. 34 What is the highest common factor of 231 and 42? 21 Calculate the greatest common factor of 129 and 2021. 43 Calculate the greatest common divisor of 3800 and 200. 200 What is the greatest common divisor of 671 and 11? 11 What is the greatest common factor of 224 and 11816? 56 Calculate the greatest common factor of 93860 and 52. 52 Calculate the highest common divisor of 2035 and 22. 11 What is the greatest common divisor of 35 and 28? 7 What is the greatest common factor of 21 and 49? 7 Calculate the highest common factor of 4505 and 53. 53 Calculate the highest common factor of 12 and 16. 4 What is the highest common divisor of 539 and 16324? 77 What is the highest common divisor of 64 and 136? 8 Calculate the highest common divisor of 64 and 568. 8 Calculate the highest common divisor of 671 and 55. 11 What is the highest common factor of 846 and 36? 18 What is the highest common divisor of 123 and 9? 3 What is the highest common divisor of 6193 and 33? 11 Calculate the greatest common factor of 279 and 3875. 31 Calculate the greatest common factor of 7535 and 55. 55 Calculate the highest common factor of 86 and 1161. 43 What is the greatest common factor of 840 and 720? 120 What is the greatest common divisor of 21 and 7? 7 What is the highest common factor of 540 and 198? 18 Calculate the highest common factor of 712 and 89. 89 Calculate the greatest common factor of 532 and 252. 28 What is the greatest common divisor of 160 and 710? 10 What is the greatest common divisor of 91 and 9919? 91 What is the greatest common divisor of 23 and 92? 23 What is the greatest common factor of 24 and 48? 24 What is the greatest common divisor of 115 and 529? 23 Calculate the highest common divisor of 33530 and 70. 70 What is the greatest common divisor of 725 and 203? 29 What is the highest common factor of 328 and 2460? 164 What is the highest common divisor of 33 and 4532? 11 Calculate the highest common factor of 126 and 42. 42 Calculate the greatest common divisor of 112 and 658. 14 Calculate the greatest common divisor of 220 and 572. 44 Calculate the greatest common factor of 88 and 4774. 22 What is the highest common factor of 2809 and 106? 53 Calculate the greatest common divisor of 12 and 2982. 6 Calculate the greatest common factor of 55 and 15455. 55 Calculate the highest common divisor of 24 and 3. 3 What is the highest common factor of 66 and 588? 6 What is the highest common factor of 13 and 1? 1 What is the greatest common factor of 603 and 72? 9 Calculate the greatest common factor of 4 and 2420. 4 Calculate the greatest common factor of 651 and 186. 93 Calculate the highest common factor of 63 and 91. 7 What is the highest common divisor of 28 and 7? 7 Calculate the greatest common divisor of 45 and 80. 5 Calculate the greatest common factor of 781 and 142. 71 Calculate the highest common divisor of 15 and 2535. 15 What is the greatest common factor of 106 and 2014? 106 Calculate the greatest common divisor of 10 and 58. 2 What is the highest common divisor of 5 and 6595? 5 Calculate the greatest common factor of 592 and 333. 37 What is the greatest common divisor of 79668 and 72? 36 Calculate the greatest common factor of 108 and 324. 108 What is the greatest common factor of 168 and 72? 24 What is the greatest common divisor of 204 and 36? 12 Calculate the greatest common factor of 5320 and 80. 40 Calculate the highest common factor of 1712 and 128. 16 Calculate the greatest common divisor of 81 and 1. 1 What is the greatest common factor of 7614 and 162? 162 Calculate the greatest common factor of 36 and 10746. 18 What is the highest common factor of 8448 and 84? 12 What is the greatest common factor of 1224 and 24? 24 What is the highest common divisor of 3381 and 4704? 147 Calculate the greatest common divisor
{ "pile_set_name": "DM Mathematics" }
ent from {t: 3, g: 7}. What is prob of sequence tgtt? 1/120 Four letters picked without replacement from {u: 3, e: 2, r: 5, f: 1, o: 1}. What is prob of sequence oufr? 1/792 Calculate prob of sequence uq when two letters picked without replacement from {d: 4, q: 7, v: 3, u: 3, f: 1}. 7/102 What is prob of sequence oo when two letters picked without replacement from qvqvovoqvuoovqqo? 1/12 Calculate prob of sequence onzr when four letters picked without replacement from nsrzsssnscnznzsszo. 1/4590 Four letters picked without replacement from ovvooovo. What is prob of sequence oooo? 1/14 What is prob of sequence hbh when three letters picked without replacement from hhljjhjjjjbhj? 1/143 Three letters picked without replacement from {v: 5, z: 3}. What is prob of sequence zzv? 5/56 Two letters picked without replacement from {n: 2, a: 2, r: 3, j: 5}. Give prob of sequence rj. 5/44 Three letters picked without replacement from yayayravrarrarrr. Give prob of sequence rya. 1/32 Calculate prob of sequence hhn when three letters picked without replacement from {x: 2, j: 1, r: 3, h: 6, n: 6}. 5/136 Four letters picked without replacement from qkqieqk. Give prob of sequence qiqk. 1/70 What is prob of sequence pja when three letters picked without replacement from {j: 2, n: 2, p: 3, x: 3, a: 6}? 3/280 Two letters picked without replacement from {y: 1, x: 2}. What is prob of sequence xx? 1/3 Two letters picked without replacement from mmhjjjmjj. What is prob of sequence jh? 5/72 Three letters picked without replacement from pyyypyyypyypyypyyy. Give prob of sequence ppy. 65/1224 Two letters picked without replacement from jxjxxoxoj. Give prob of sequence jj. 1/12 What is prob of sequence eeee when four letters picked without replacement from eepepppepppeee? 5/143 Two letters picked without replacement from {r: 1, u: 1, n: 1, c: 1, z: 1}. Give prob of sequence zr. 1/20 Calculate prob of sequence sw when two letters picked without replacement from {y: 1, w: 1, m: 3, s: 8, i: 4}. 1/34 Calculate prob of sequence qoqr when four letters picked without replacement from qororrqq. 3/140 What is prob of sequence pm when two letters picked without replacement from hphcmwhmhc? 1/45 Calculate prob of sequence udu when three letters picked without replacement from {d: 5, e: 2, u: 5}. 5/66 Two letters picked without replacement from {y: 6, i: 2, w: 7}. What is prob of sequence ii? 1/105 Three letters picked without replacement from {r: 7, g: 2, k: 11}. What is prob of sequence grr? 7/570 Calculate prob of sequence xnnn when four letters picked without replacement from xfxne. 0 What is prob of sequence nnnj when four letters picked without replacement from eeejnenenjeenj? 3/1001 What is prob of sequence ro when two letters picked without replacement from oyyxyorzy? 1/36 What is prob of sequence mk when two letters picked without replacement from {d: 3, m: 1, k: 11}? 11/210 What is prob of sequence sva when three letters picked without replacement from avvaasvvsaav? 5/132 What is prob of sequence ldl when three letters picked without replacement from {d: 5, l: 8}? 70/429 Three letters picked without replacement from yjvjjjkvnjnnnjr. What is prob of sequence vjk? 2/455 Four letters picked without replacement from {c: 2, t: 4, y: 1, l: 7, r: 2}. Give prob of sequence crlc. 1/1560 Two letters picked without replacement from {u: 1, h: 2, f: 1, k: 2, j: 1}. What is prob of sequence kj? 1/21 Three letters picked without replacement from {y: 2, o: 1}. Give prob of sequence yoy. 1/3 Four letters picked without replacement from {n: 9}. What is prob of sequence nnnn? 1 Four letters picked without replacement from {l: 3, j: 11}. What is prob of sequence jjjl? 45/364 Calculate prob of sequence bbhh when four letters picked without replacement from hktbtbbhbbhbbhb. 4/195 Two letters picked without replacement from zxzxxxxxxzzbszzszxzz. What is prob of sequence zx? 18/95 Two letters picked without replacement from jdjjjdjjjkkjjj. What is prob of sequence dj? 10/91 Two letters picked without replacement from {b: 2, y: 2}. Give prob of sequence yy. 1/6 Four letters picked without replacement from ggng. What is prob of sequence ggng? 1/4 What is prob of sequence dd when two letters picked without replacement from {i: 1, d: 3}? 1/2 Calculate prob of sequence hee when three letters picked without replacement from {j: 2, h: 4, e: 3}. 1/21 Four letters picked without replacement from bbbbbebebbb. Give prob of sequence bbbb. 21/55 Calculate prob of sequence eede when four letters picked without replacement from {x: 5, e: 3, d: 1, w: 3}. 1/1980 What is prob of sequence idkx when four letters picked without replacement from kkkkxdddddkkkdkddiik? 2/1615 Four letters picked without replacement from auuutagaaauuagugu. Give prob of sequence aata. 1/476 Three letters picked without replacement from {h: 3, b: 3, r: 1, d: 4}. Give prob of sequence ddh. 2/55 Calculate prob of sequence ei when two letters picked without replacement from {b: 2, e: 1, j: 7, m: 2, t: 1, i: 1}. 1/182 Two letters picked without replacement from xuulxuuxxw. What is prob of sequence xw? 2/45 What is prob of sequence eaa when three letters picked without replacement from {e: 1, i: 1, z: 3, a: 3, g: 1, l: 2}? 1/165 Calculate prob of sequence cccb when four letters picked without replacement from {i: 5, b: 2, c: 13}. 143/4845 What is prob of sequence oooo when four letters picked without replacement from ooooo? 1 Two letters picked without replacement from {z: 7, f: 3, h: 4}. Give prob of sequence ff. 3/91 Two letters picked without replacement from {p: 11, w: 2, z: 6}. What is prob of sequence pz? 11/57 Calculate prob of sequence yhy when three letters picked without replacement from yyyyhyhyyyy. 8/55 Two letters picked without replacement from {o: 8, d: 3, x: 1, k: 4, n: 1}. What is prob of sequence nd? 3/272 Calculate prob of sequence yydy when four letters picked without replacement from dddydddyddddddydyd. 7/1530 What is prob of sequence ipv when three letters picked without replacement from {v: 6, r: 1, p: 6, a: 1, i: 1, u: 3}? 1/136 Two letters picked without replacement from qaqsaasssaaaqssaq. What is prob of sequence sa? 21/136 Calculate prob of sequence ztw when three letters picked without replacement from {w: 2, z: 5, t: 2}. 5/126 Three letters picked without replacement from bbofobof. What is prob of sequence ofb? 3/56 Calculate prob of sequence rsl when three letters picked without replacement from {s: 1, r: 2, l: 2, n: 1}. 1/30 Two letters picked without replacement from {e: 14, r: 5}. Give prob of sequence re. 35/171 Four letters picked without replacement from {z: 5, o: 2}. What is prob of sequence zzzo? 1/7 Four letters picked without replacement from {s: 4, e: 4, o: 9, m: 2}. What is prob of sequence seso? 3/646 Three letters picked without replacement from sfsssfs. What is prob of sequence sfs? 4/21 Four letters picked without replacement from {s: 2, g: 4}. What is prob of sequence gggg? 1/15 What is prob of sequence rhih when four letters picked without replacement from {r: 4, u: 4, x: 1, h: 3, i: 7}? 7/3876 Calculate prob of sequence kgw when three letters picked without replacement from {w: 1, g: 1, k: 1}. 1/6 What is prob of sequence xbx when three letters picked without replacement from obbxxxoxbx? 1/12 Calculate prob of sequence ajja when four letters picked without replacement from {j: 5, a: 9}. 60/1001 What is prob of sequence cg when two letters picked without replacement from {h: 1, c: 10, g: 4, f: 3}? 20/153 What is prob of sequence gq when two letters picked without replacement from {g: 1, p: 2, d: 1, c: 1, q: 1, o: 1}? 1/42 What is prob of sequence hlll when four letters picked without replacement from llllllllllllllllllhl? 1/20 Three letters picked without replacement from zjztzjtctcjjttzjtj. What is prob of sequence czz? 1/204 Calculate prob of sequence hep when three letters picked without replacement from ehphhphhe. 5/126 Calculate prob of sequence gaga when four letters picked without replacement from {a: 2, g: 3}. 1/10 Calculate prob of sequence zkt when three letters picked without replacement from bkbzbkfkttkfftbbff. 1/408 What is prob of sequence ay when two letters picked without replace
{ "pile_set_name": "DM Mathematics" }
zllxlxlxlllzlll. Give prob of sequence zz. 1/105 Three letters picked without replacement from {h: 3, x: 1, m: 5}. What is prob of sequence hxh? 1/84 Four letters picked without replacement from mzrrzhprzhz. Give prob of sequence hpzm. 1/990 Two letters picked without replacement from {r: 1, q: 2, f: 1}. What is prob of sequence fr? 1/12 Four letters picked without replacement from syssys. Give prob of sequence sssy. 2/15 Calculate prob of sequence ag when two letters picked without replacement from vaaavgvaavvavv. 3/91 What is prob of sequence bgg when three letters picked without replacement from yyyygyygyygybyy? 1/455 Calculate prob of sequence xn when two letters picked without replacement from {n: 5, u: 1, f: 6, h: 2, x: 3}. 15/272 What is prob of sequence ub when two letters picked without replacement from ubvvnur? 1/21 Calculate prob of sequence uo when two letters picked without replacement from {o: 8, j: 4, a: 1, q: 3, u: 2, n: 2}. 4/95 Four letters picked without replacement from {q: 2, v: 2}. Give prob of sequence qvvq. 1/6 Four letters picked without replacement from cccccclccccccccccc. What is prob of sequence lccc? 1/18 What is prob of sequence xe when two letters picked without replacement from eexxxxexxexeeeeexxx? 5/19 Calculate prob of sequence nmm when three letters picked without replacement from nnmnnmmnu. 5/84 Calculate prob of sequence hwt when three letters picked without replacement from {h: 2, w: 1, j: 1, t: 2}. 1/30 Three letters picked without replacement from ggjudddddgm. What is prob of sequence jud? 1/198 Four letters picked without replacement from {q: 4, v: 1, b: 6}. What is prob of sequence vbqq? 1/110 Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqqqqqcqqqqq. 17/19 Calculate prob of sequence mz when two letters picked without replacement from zzmmzmmzmzzmmz. 7/26 Two letters picked without replacement from ieiideiidii. What is prob of sequence ee? 1/55 Four letters picked without replacement from {y: 1, r: 2, w: 1, q: 1, j: 5, m: 3}. Give prob of sequence mrmq. 1/1430 Three letters picked without replacement from {c: 2, q: 1, n: 3, z: 4, r: 1}. What is prob of sequence nzc? 4/165 Calculate prob of sequence su when two letters picked without replacement from suss. 1/4 Three letters picked without replacement from czitvccvcitzc. What is prob of sequence viz? 2/429 Three letters picked without replacement from {p: 4, b: 6, i: 3, e: 1}. What is prob of sequence ipb? 3/91 Calculate prob of sequence wyg when three letters picked without replacement from {y: 1, g: 11, w: 1}. 1/156 What is prob of sequence rr when two letters picked without replacement from yjjyjjrrrrhryrj? 1/7 Four letters picked without replacement from vvvffvvvvftvvtvtooo. Give prob of sequence vttf. 5/2584 Three letters picked without replacement from vxxvvv. Give prob of sequence vxx. 1/15 What is prob of sequence aa when two letters picked without replacement from aaaaacaaaaaaaaacac? 35/51 Two letters picked without replacement from xppxxxxxpxxpxxxxxx. What is prob of sequence xp? 28/153 Three letters picked without replacement from wwnwnnnrrrrrwnrr. Give prob of sequence wnr. 1/24 Calculate prob of sequence qr when two letters picked without replacement from yssqr. 1/20 Two letters picked without replacement from {g: 8, x: 2}. What is prob of sequence gx? 8/45 Calculate prob of sequence vvv when three letters picked without replacement from {v: 10}. 1 Two letters picked without replacement from {u: 2, p: 1, e: 1, r: 1, t: 2, q: 7}. Give prob of sequence pe. 1/182 Calculate prob of sequence ufuf when four letters picked without replacement from {f: 6, u: 6}. 5/66 Calculate prob of sequence ppk when three letters picked without replacement from {p: 5, k: 1, g: 1, i: 2}. 5/126 What is prob of sequence hz when two letters picked without replacement from zzoqhbqbhbzoqboo? 1/40 Three letters picked without replacement from {j: 5, k: 8}. What is prob of sequence jkk? 70/429 Two letters picked without replacement from rtrrrirdjixi. Give prob of sequence dt. 1/132 Calculate prob of sequence vb when two letters picked without replacement from {j: 3, l: 1, v: 6, b: 3}. 3/26 Four letters picked without replacement from vvppppqvvpvvvqvpv. What is prob of sequence pvpq? 9/952 What is prob of sequence kcqq when four letters picked without replacement from qkkckcqc? 3/280 Two letters picked without replacement from {g: 1, v: 12}. Give prob of sequence vg. 1/13 What is prob of sequence yc when two letters picked without replacement from {v: 6, s: 3, y: 6, e: 2, c: 2}? 2/57 What is prob of sequence fq when two letters picked without replacement from {d: 4, q: 2, v: 6, f: 3, w: 2}? 3/136 What is prob of sequence kr when two letters picked without replacement from {v: 1, u: 5, r: 1, k: 1, g: 1, i: 5}? 1/182 Calculate prob of sequence tw when two letters picked without replacement from {w: 3, t: 1}. 1/4 Two letters picked without replacement from mmmpxrxxrr. Give prob of sequence xp. 1/30 What is prob of sequence zcjx when four letters picked without replacement from {c: 2, x: 4, j: 1, d: 2, z: 7}? 1/780 Four letters picked without replacement from jtijikiitej. What is prob of sequence eete? 0 Four letters picked without replacement from {g: 3, o: 4, y: 7}. What is prob of sequence oogg? 3/1001 Two letters picked without replacement from {a: 13, s: 6}. Give prob of sequence sa. 13/57 Calculate prob of sequence mu when two letters picked without replacement from {x: 1, i: 2, t: 2, m: 8, g: 1, u: 1}. 4/105 Two letters picked without replacement from fedfy. Give prob of sequence dy. 1/20 What is prob of sequence vqx when three letters picked without replacement from hvhxqx? 1/60 Two letters picked without replacement from {t: 1, s: 3, l: 4, r: 2, x: 1}. What is prob of sequence rs? 3/55 Four letters picked without replacement from {d: 8, p: 3}. Give prob of sequence dpdp. 7/165 What is prob of sequence sz when two letters picked without replacement from {y: 3, s: 10, m: 4, z: 2}? 10/171 Two letters picked without replacement from ejjtejjtjjjttxjjj. Give prob of sequence jt. 5/34 What is prob of sequence oooy when four letters picked without replacement from tyhtytoyrhotoyyyttyo? 7/4845 Calculate prob of sequence bbo when three letters picked without replacement from ootboboxolobo. 7/286 What is prob of sequence aa when two letters picked without replacement from alusuai? 1/21 Four letters picked without replacement from {q: 2, l: 2, z: 3, i: 2}. Give prob of sequence lqiq. 1/378 Four letters picked without replacement from mmmmhhm. What is prob of sequence mmhh? 1/21 Calculate prob of sequence jjff when four letters picked without replacement from {f: 2, j: 3}. 1/10 Four letters picked without replacement from qcaballqqjjqjqqjjj. Give prob of sequence qcjj. 1/408 Four letters picked without replacement from {d: 1, e: 2, c: 1, x: 1, p: 1, f: 1}. Give prob of sequence edfc. 1/420 What is prob of sequence hnvr when four letters picked without replacement from nirirrirhhrvhrvnhrr? 4/2907 Four letters picked without replacement from {n: 2, o: 8, y: 1, g: 1, w: 2}. What is prob of sequence gwno? 4/3003 Two letters picked without replacement from vvyvvyyyvnvvvv. What is prob of sequence nv? 9/182 What is prob of sequence zv when two letters picked without replacement from {h: 1, w: 1, r: 1, v: 1, z: 1, o: 2}? 1/42 What is prob of sequence ii when two letters picked without replacement from {d: 9, i: 3}? 1/22 Calculate prob of sequence dod when three letters picked without replacement from dodoooooodddododdood. 11/95 Three letters picked without replacement from tss. Give prob of sequence sst. 1/3 Calculate prob of sequence idi when three letters picked without replacement from iiidiidiiiii. 3/22 Calculate prob of sequence cknr when four letters picked without replacement from ncccqnkqnqr. 1/880 Three letters picked without replacement from hskunuksnuknunstsssu. What is prob of sequence nht? 1/1710 Three letters picked without replacement from wwnnnww. What is prob of sequence nww? 6/35 Two letters picked without replacement from lfffffflffl. Give prob of sequence ff. 28/55 Two letters picked without replacement from {v: 4, s: 1,
{ "pile_set_name": "DM Mathematics" }
46*s + 274*s - 1837 for s. 5 Solve 93*z - 1110 = -18*z for z. 10 Solve 837*l + 4645 + 2626 = 176*l for l. -11 Solve -42*p = 1585 - 997 for p. -14 Solve 0 = 107380*t - 107382*t - 42 for t. -21 Solve -434*g = -751*g + 1268 for g. 4 Solve 853*f = 880*f - 459 for f. 17 Solve -1167*b - 2852 - 12319 = 0 for b. -13 Solve 228*z - 3994 = -326*z + 9856 for z. 25 Solve 730*z - 3050 = -10350 for z. -10 Solve 1066*h - 4018 - 818 = 942*h for h. 39 Solve 38*b + 2*b = 8*b - 480 for b. -15 Solve 3117*x + 325 = 3104*x for x. -25 Solve -22*r + 325*r = -476 - 6796 for r. -24 Solve 17*z + 10 = 18*z for z. 10 Solve 2746 = -13*l + 2954 for l. 16 Solve -17*h - 50 = -22 - 11 for h. -1 Solve 23*w - 18 - 91 = -17 for w. 4 Solve 5828 - 5538 = 29*f for f. 10 Solve 58*h - 76 = 22*h + 17*h for h. 4 Solve -9*w + 801 = 684 for w. 13 Solve 45*j - 71240 + 70070 = 0 for j. 26 Solve 185*c + 283 = -232 - 780 for c. -7 Solve -937*y + 10 = -939*y - 6 for y. -8 Solve -w = -52*w - 816 for w. -16 Solve -10*t + 3*t - 29 + 15 = 0 for t. -2 Solve 0 = -470*n + 1387 - 447 for n. 2 Solve -217*w - 79 = 3176 for w. -15 Solve 158*l = 26*l - 234*l + 1464 for l. 4 Solve 548 = 56*r - 41 - 27 for r. 11 Solve -958*x - 449 = -2145 - 1178 for x. 3 Solve 2358 = 357*w - 10128 + 1776 for w. 30 Solve 330*y + 445 + 215 = 0 for y. -2 Solve 218*h - 227*h = 54 for h. -6 Solve -2807 = -87*v + 21*v - 3071 for v. -4 Solve 91*t - 2908 + 5820 = 0 for t. -32 Solve 21*q = -237 + 332 - 179 for q. -4 Solve 32 = -6*b - 10*b + 8*b for b. -4 Solve 38913*u = 38831*u + 738 for u. 9 Solve -703*d = 6698 - 24976 for d. 26 Solve -3374*h + 46253 + 13703 = -1068*h for h. 26 Solve 1452 + 565 = -158*o + 279 for o. -11 Solve 211 + 70 = 515*q + 5431 for q. -10 Solve -129*w = -45*w + 1596 for w. -19 Solve -69*w + 145*w + 144 = 85*w for w. 16 Solve 3410 + 2014 = 452*w for w. 12 Solve -222*y - 432*y + 13*y = -21794 for y. 34 Solve -13 = 36*u - 9 + 32 for u. -1 Solve 2*i - 12 + 16 + 8 = 0 for i. -6 Solve 10 = -63363*d + 63362*d for d. -10 Solve -89*o - 5416 = -7908 for o. 28 Solve 85*k - 1616 = -117*k for k. 8 Solve 38*a + 58 = -208 for a. -7 Solve -2071*c + 2065*c = 6 for c. -1 Solve -4966*y - 260 = -4946*y for y. -13 Solve 6*i + 2472 = 2388 for i. -14 Solve 4*u = -7*u + 49 - 192 for u. -13 Solve 41704 - 41568 = 8*h for h. 17 Solve 79*n = 1403 + 572 for n. 25 Solve -431 + 713 = -56*y - 782 for y. -19 Solve -95*f + 595 = -123 - 327 for f. 11 Solve 3508*r = 3515*r - 84 for r. 12 Solve -88 = -643*n + 621*n for n. 4 Solve -1641*l + 66165 = 364*l for l. 33 Solve 24*i + 392 = -25*i for i. -8 Solve 3170*f - 3067*f = 2884 for f. 28 Solve 41*a = -115*a + 3120 for a. 20 Solve -3333 - 2107 = 27*x + 143*x for x. -32 Solve -177 = -25*o - 20*o + 318 for o. 11 Solve -16809*c = -16839*c + 390 for c. 13 Solve -33*l - 138*l - 1368 = 0 for l. -8 Solve 55*k + 140 = -15*k for k. -2 Solve 690 = -146*c - 916 for c. -11 Solve 25*m + 1126 = -20*m - 224 for m. -30 Solve -558 = -65*r + 166 + 56 for r. 12 Solve 0 = 30*r + 42*r - 8*r - 192 for r. 3 Solve 0 = -19*x + 169 - 19 - 17 for x. 7 Solve 245*g + 416*g - 1621 - 4989 = 0 for g. 10 Solve -169 = -4*h - 133 for h. 9 Solve 19*v - 872 + 1100 = 0 for v. -12 Solve 0 = 110*k - 35*k + 150 for k. -2 Solve 18*d + 181 - 75 + 290 = 0 for d. -22 Solve -486*d = -790*d - 5472 for d. -18 Solve 28*h = -265*h + 67*h for h. 0 Solve 872*p - 816 = 56 for p. 1 Solve 78*g + 89*g - 168 = 146*g for g. 8 Solve 841*w = 811*w - 85 - 455 for w. -18 Solve 179130*y - 179100*y + 210 = 0 for y. -7 Solve 1774 + 3470 = 109*l + 119*l for l. 23 Solve -55*x = 48*x - 6*x - 679 for x. 7 Solve -721 = 1910*o - 1807*o for o. -7 Solve -15633*w - 140 = -15619*w for w. -10 Solve 3*t + 35 = 17*t - 21 for t. 4 Solve -287477*o = -287488*o + 22 for o. 2 Solve 442*y = -13986 - 1484 for y. -35 Solve -2*i + 2362 - 2461 = -11*i for i. 11 Solve 63*m + 30*m + 186 = 0 for m. -2 Solve -44 = 66*q + 220 for q. -4 Solve 1650 = -7*z + 1426 for z. -32 Solve 0 = -55*t + 2364 - 2749 for t. -7 Solve 190*z - 409*z = -203*z + 48 for z. -3 Solve -114*k + 216*k = 113*k + 132 for k. -12 Solve -21 = 22*u - 31 - 210 for u. 10 Solve 587 + 16 = 374*z - 5755 for z. 17 Solve 73*o + 39*o - 2856 = -7*o for o. 24 Solve 207*g + 96 = 195*g for g. -8 Solve 4476 + 2281 = -323*k + 90*k for k. -29 Solve 0 = 3*c + 5338 - 5350 for c. 4 Solve -363 = 18*t - 219 for t. -8 Solve 269*d - 785 + 5896 = 0 for d. -19 Solve -279*j + 220*j - 177 = 0 for j. -3 Solve 159 = 5*c + 4*c + 123 for c. 4 Solve 2004 = 194*u + 2080 - 4538 for u. 23 Solve 70 - 62 = 25*w + 358 for w. -14 Solve 305 = 21*x + 501 + 119 for x. -15 Solve -434*k - 535 = -5309 for k. 11 Solve -2692*o + 2707*o - 390 = 0 for o. 26 Solve 56*v = 70*v - 98 for v. 7 Solve -930*u + 850*u = 80 for u. -1 Solve 1745 = 69*k + 1055 for k. 10 Solve 263*i + 301 = 220*i for i. -7 Solve 8 = 12*x - 5*x - 15*x for x. -1 Solve -6*n - 5*n - 172 = 32*n for n. -4 Solve 9*r = -354*r + 7260 for r. 20 Solve 195*h - 111*h + 756 = 0 for h. -9 Solve 24*f + 89 = -7 for f. -4 Solve -78*w + 255 + 291 = 0 for w. 7 Solve 1986 = 410*b - 79*b for b. 6 Solve 344*l - 173*l = 198*l + 189 for l. -7 Solve 768*x = 876*x + 1944 for x. -18 Solve 379*h - 52 = 398*h + 24 for h. -4 Solve -287*q - 248 = -68*q - 5066 for q. 22 Solve -21580 = 1174*p - 2004*p for p. 26 Solve -217 - 36 + 73 = 15*z for z. -12 Solve 0 = 162*l + 310 - 1327 - 117 for l. 7 Solve -2*w = 540 - 552 for w. 6 Solve -137*y - 576 = -89*y for y. -12 Solve -30*m - 40 = 104 - 54 for m. -3 Solve 401*b - 4208 = -15035 for b. -27 Solve 0 = -311*g + 88*g + 2007 for g. 9 Solve -567 = -899696*h + 899675*h for h. 27 Solve -5691*w + 5689*w - 30 = 0 for w. -15 Solve 75*w + 313 = 107*w + 1049 for w. -23 Solve -11*n - 4*n - 28 = -208 for n. 12 Solve -1463*f = -1482*f - 209 for f. -11 Solve -1197 = 8*s - 1061 for s. -17 Solve 60*u - 92*u = -288 for u. 9 Solve 1064*v - 971*v = 1209 for v. 13 Solve -559*k + 1109*k - 555*k = 75 for k. -15 Solve -95*d + 59136 - 13992 = 1273*d for d. 33 Solve -8*b - 32*b = -21*b + 38 for b. -2 Solve 293*u - 1196 = 106*u - 4001 for u. -15 Solve -464*y = 591 + 1729 for y. -5 Solve -573 = -1602*u - 23001 for u. -14 Solve 28*o + 50*o + 11*o - 89 = 0 for o. 1 Solve -2016*b + 2035*b = 209 for b. 11 Solve -28*b = 179*b - 4968 for b. 24 Solve 0 = -18385*r + 18417*r - 416 for r. 13 Solve -153*z - 261*z = 32*z - 11150 for z. 25 Solve 459 = 51*l - 204 for l. 13 Solve -12*t = 26*t + 124*t + 1944 for t. -12 Solve 9*w + 2521 = -10*w + 2977 for w. 24 Solve -43*k + 23*k - 924 = -48*k for k. 33 Solve -155*s - 9 - 6 = -152*s for s. -5 Solve 0 = 261*f - 856*f - 2975 for f. -5 Solve 0 = -30*j - 1976 + 2036 for j. 2 Solve 0 = 245*o + 651 + 2534 for o. -13 Solve 93*j + 946 + 1193 = 0 for j. -23 Solve 61032 = -3*w + 60966 for w. -22 Solve -1070*x - 67*x - 27816 = 22*x for x. -24 Solve 729 = 76*w + 45 for w. 9 Solve -370 = 75*i - 38*i for i. -10 Solve 0 = 99*n - 2243 + 164 for n. 21 Solve 0 = 135*u - 258 - 84 - 333 for u. 5 Solve 5*f - 118 = -55 - 3 for f. 12 Solve -35*b = -16*b + 191 + 75 for b. -14 Solve -186*q + 146*q - 160 = 0 for q. -4 Solve -233*i - 384 = 1445 + 35 for i. -8 Solve -35*l = 25*l + 372 - 1152 for l. 13 Solve -22 = 850*o + 828 for o. -1 Solve 43*v = -204*v + 116*v + 1834 for v. 14 Solve 0 = 39*d + 16*d - 410 - 30 for d. 8 Solve 497*r + 13716 = 878*r for r. 36 Solve -14*x - 88*x - 2527 = 31*x for x. -19 Solve 149*p - 13377 = -11887 for p. 10 Solve -5535 = -18*c - 18*c - 5031 for c. 14 Solve 231*h - 1740 = 57*h for h. 10 Solve 241*d - 16576 = -10551 for d. 25 Solve -1255 + 3265 = 134*r for r. 15 Solve 352 = -48*w + 116*w + 2460 for w. -31 Solve 0 = -33*n + 357*n - 580 - 392 for n. 3 Solve 52651 = -17*s + 52736 for s. 5 Solve 109 = -42*d - 204 + 19 for d. -7 Solve 9013*v + 6 + 6 = 9011*v for v. -6 Solve -53*h = -68*h + 15 for h. 1 Solve 0 = 396*z - 363*z - 33 for z. 1 Solve 33091 = -67*s + 32622 for s. -7 Solve 120 = 25*y - 263 + 183 for y. 8 Solve -119*j + 52*j - 11*j = 1404 for j. -18 Solve -8*a + 13*a = -19*a + 96 for a. 4 Solve 80*t + 506 = -77*t - 279 for t. -5 Solve -547*t + 319*t + 6384 = 0 for t. 28 Solve 680*f - 668*f + 144 = 0 for f. -12 Solve -14406 = 202*g + 484*g for g. -21 Solve 3*l - 515 = -182*l + 410 for l. 5 Solve -1581*g - 14150 = -166*g for g. -10 Solve 12*s + 11*s = 782 - 1104 for s. -14 So
{ "pile_set_name": "DM Mathematics" }
5 Evaluate (-11 - -9) + (7 - 0) - -2. 7 What is -8 + 1 - (30 - 35)? -2 Evaluate (-6 - -1) + -2 + 4. -3 Calculate (-6 - -5) + -1 + -2 + -1. -5 Calculate 5 - 1 - (5 - 2). 1 What is (7 - (2 - -6)) + (-3 - 1)? -5 -11 + 12 + (1 - 2) 0 What is 11 + -3 + 5 + -18? -5 Evaluate -5 + 7 + -3 + 7 + -3. 3 Evaluate -5 + -1 + 5 - (2 + -4). 1 Evaluate (-3 - -5) + 1 + -1. 2 What is the value of 14 + -5 + -5 + -5? -1 What is the value of -2 + (-11 - -14) - -6? 7 Evaluate -3 + (4 + (-13 - -8) - -3). -1 Calculate -1 + -3 + (-13 - -19). 2 Evaluate 4 + -1 + (-6 - (1 + 0)). -4 -2 - ((4 - 2) + -6) 2 Evaluate -9 - (3 + 0 + (4 - 9)). -7 Evaluate 8 + (3 - 8) - (-3 - -2). 4 Evaluate 1 + (5 - 3 - (7 + -3)). -1 What is (20 - 19) + (0 - -2 - 1)? 2 What is -3 - ((-3 - 1) + 0 - 2)? 3 2 + (-3 - (4 + -2 + -2)) -1 Calculate -5 - (-2 - 0) - (-70 - -72). -5 Calculate -2 + (0 - (-3 - -3)). -2 -38 + 36 - (-5 - (0 - -1)) 4 What is the value of (2 - 2) + -5 + 12? 7 Evaluate -2 + 0 - (2 - 7). 3 What is the value of 0 + -1 + 2 + 2 - 3? 0 2 + (-3 - (-1 - 2)) 2 (2 - (3 - 7)) + -1 5 Calculate (17 - 21) + (-4 - 0). -8 Calculate 1 + -4 + (-4 - -6). -1 2 + 2 + (7 - 17) -6 Calculate 6 - (3 - (-8 - (-3 - 1))). -1 Calculate 1 + 5 + -11 - -5. 0 Calculate (-1 - -1) + (-10 - -5) + 13. 8 What is the value of 6 + -3 + (10 - 5 - 4)? 4 Evaluate (-82 - -73) + 13 + -2. 2 What is -7 + (3 + -8 - -14)? 2 What is 1 + (8 - (0 + 4) - 2)? 3 Calculate (-2 - (3 - 1)) + 8. 4 What is the value of -51 + 41 - (-19 - -2)? 7 Calculate 10 + -19 + (11 - 5). -3 (13 - 8) + 1 + 0 + -4 2 Calculate 0 + -3 - (2 - (15 - 14)). -4 What is the value of 2 - (-2 + (7 - -1))? -4 What is -1 + 2 + (1 - 1) + -4? -3 (-6 - (0 + -1) - -8) + 1 4 -5 + 2 + 3 + -3 -3 What is the value of (4 - 3 - 4) + 3? 0 What is -2 + 5 + 3 + -5? 1 What is -4 + (-1 + 11 - (0 - -1))? 5 What is the value of -4 - (-2 + (2 - 0) - 4)? 0 What is -9 - 1 - (1 - 14)? 3 What is -5 + 5 + (-5 - (8 - 16))? 3 (6 + 1 - 6) + -1 0 Evaluate 3 - (-1 + 2 + -6 - -11). -3 Evaluate 11 + (-2 - (17 + -6 + -7)). 5 What is -10 + (44 - 13 - 15)? 6 What is the value of 7 + (-4 - (-7 + 9))? 1 What is -1 + -2 + 0 + 3 + -3? -3 Calculate (-3 - -4) + (4 - 0). 5 Calculate (3 - -2 - 14) + (1 - -5). -3 Evaluate (0 - 1) + (39 - 36) - 2. 0 Calculate 3 + 12 - 8 - 5. 2 0 - -1 - (-1 - (3 - 9)) -4 (1 - (4 - (6 - 2))) + -2 -1 (-3 - -9) + -1 + (-4 - -4) 5 Evaluate -9 + -7 + 3 + 7. -6 1 + 2 - (2 - (6 - 8)) -1 Evaluate 1 + 5 + -6 + 5. 5 1 + 2 - 0 - (-17 - -12) 8 12 + -11 + 2 - (4 - -1) -2 Calculate (139 - 147) + (2 - (0 - 8)). 2 (-4 - -11) + -6 + 2 3 What is -3 + -2 + (2 + 1 - 0)? -2 Calculate (-1 + 4 - 1) + -2 + 1. 1 What is the value of -4 - (1 - (8 + -1 + 2))? 4 1 - 1 - -1 - -1 2 What is the value of 3 - (-6 - (4 + (1 - 4)))? 10 Evaluate (7 - -1) + -8 + 7 + -6. 1 7 + -3 - (8 + -5) 1 7 + -3 + (-3 - -4) - 1 4 28 + -36 - (-4 - 2) -2 Evaluate -6 + (-1 + 4 + 2 - 2). -3 Calculate 4 - (-4 - 3) - 5. 6 What is -2 + (2 - 0) + 1 + -4? -3 3 + (-2 - (-2 + 3)) 0 Calculate -15 + 24 + -15 - -13. 7 What is the value of (-3 - (-9 + 5)) + -1? 0 What is -3 + 7 + (-3 + -6 - 6)? -11 Evaluate 1 + (-1 - 0) + 1. 1 2 + -8 - (-12 + 0 + 7) -1 What is the value of (-2 - 3) + (12 - 5 - -1)? 3 -12 + (2 - -5) + 2 + -1 -4 Calculate -78 - -87 - (3 - -1). 5 Calculate (2 - (-5 + 5)) + -6. -4 What is the value of -6 + 7 + 0 + -4? -3 What is the value of -7 - (3 - (-4 + 5 - -5))? -4 Calculate 1 + -1 - (-10 - -11). -1 Calculate 4 - (6 + -12 + 5 + 4). 1 Calculate 1 - -2 - (-17 + 18). 2 (-4 - 1) + -21 + 24 -2 What is the value of (5 - 10) + -3 + 15? 7 What is the value of -9 - (0 + 4 + (-6 - 2))? -5 Evaluate 1 + (0 - 0 - -2). 3 Evaluate -12 + (3 + -10 - -13). -6 -7 + 8 - (5 + -1) -3 What is (5 - 0) + (17 - (30 + 0))? -8 (2 - (6 + 3)) + 1 + 1 -5 (0 - 3) + (-1 - -1 - -6) 3 Calculate -3 + (2 - (3 + -5)). 1 Evaluate -4 + (12 - (-1 - -2) - 1). 6 Calculate 10 - 5 - (2 + 4). -1 What is the value of 11 + -11 + 2 + -6? -4 (4 - -1) + -3 - (-4 + 10) -4 What is -5 - (-4 + 0 + 5) - 0? -6 What is (-11 - -7) + (0 - (-2 + 1))? -3 Calculate -1 + -9 + 0 + 71 + -67. -6 1 + 5 - (0 + (-5 - -7)) 4 Calculate -1 + -1 + 5 - (-22 + 30). -5 Evaluate (4 - 10) + 7 - 6. -5 Calculate -4 - (-4 + -4 + 8). -4 Calculate 0 + (-5 - -14 - 5). 4 Evaluate -2 + -4 + -1 + 12. 5 What is the value of -7 + -4 + -6 + 5 + 19? 7 (3 - 1) + -2 - 1 -1 What is 4 - ((-9 - -5) + 4)? 4 Evaluate 4 + -6 + -1 + 2 + -2. -3 What is the value of (-4 - (5 - 7)) + -1 + -1? -4 What is the value of 218 + -220 - (-1 - 6)? 5 Calculate 12 - (-9 + -8 + 31). -2 Calculate -2 + -3 - (-5 - -19 - 13). -6 1 + 8 - (10 + -4) 3 What is 5 + -2 - (5 + -1 + -3)? 2 Evaluate (6 - (19 + 6 + -12)) + -1. -8 What is -3 - (-1 + -5) - 1? 2 Calculate 6 + -1 + (46 - 47). 4 -5 + -3 + 3 + (-5 - -7) -3 Calculate 2 + (1 - (-5 - -10)). -2 What is -12 + (1 - -7) - (-4 + 1)? -1 -3 + 1 - (-7 + -2) 7 What is -6 + 3 + (2 + 1 - 0)? 0 Evaluate 1 - ((-4 - 0) + (-13 - -12)). 6 Calculate 0 + 4 + -6 + -3. -5 Calculate (29 - 14) + -6 + 0 + -6. 3 Calculate 9 + (5 - 4) + (-7 - -1). 4 What is the value of 4 + (-20 - -1) + 9? -6 What is the value of (-11 - -7) + 2 + -13 + 7? -8 Evaluate -4 - (-7 - (-3 + -3)). -3 Evaluate (-1 - -4) + 3 + 1 + -5. 2 What is 3 + -5 + 5 + 1? 4 What is the value of 10 + 7 + -8 - (1 - -2)? 6 What is (14 - 11 - (-4 - -3)) + -9? -5 Evaluate -3 + -3 + (-6 - -18 - 6). 0 -6 + -2 - (5 + -12 - -5) -6 Evaluate (0 - (-10 - -12)) + 9. 7 What is the value of 5 + (1 - (0 + -3) - 14)? -5 Evaluate (-1 - (2 - (2 - -1))) + 3. 3 (14 - 21) + (3 - -2) -2 Calculate 5 - ((-7 - 0) + 7 + 8). -3 Evaluate (-11 - -4 - -5) + -2. -4 What is (6 - 5) + -4 + (1 - 0)? -2 What is -6 + -7 + (-6 - -19)? 0 What is the value of -1 + -11 + 10 + -4? -6 What is (-4 + 4 - 6) + 11? 5 5 - (1 + 0 + 0) 4 What is -3 + (11 - 13) + 12? 7 Evaluate (2 - -5) + (-6 - (-1 - -4)). -2 Calculate -1 + -1 - (-3 + (1 - -1)). -1 Calculate -2 - ((-1 - 7) + 4). 2 (21 - 17) + (-7 - (-3 - 0)) 0 Calculate 1 + 5 + (13 - 20). -1 Evaluate (2 - (6 + -1)) + -3. -6 Calculate 3 + (-3 - (-1 - 3)). 4 What is 8 - (4 + 12) - -10? 2 -7 + -5 + 15 + 1 4 What is the value of 2 + 7 + (-18 - -4)? -5 Evaluate (-2 - (0 - 0)) + (-176 - -184). 6 What is 1 + -1 - 1 - (-2 - -4)? -3 -5 - (-5 + 5) - (3 + -19) 11 What is the value of 4 - (8 + -6) - 1? 1 Calculate (2 - 1) + (-1 - (-3 + 4)). -1 (-2 - -6) + 2 - (-1 + 2) 5 What is the value of 4 - 1 - -1 - 3? 1 What is -4 + (-5 - -8) + -1? -2 What is 7 + (1 + -4 - 0) + -5? -1 Evaluate -3 + (-1 - (3 - (9 + 3))). 5 What is -2 - ((-4 - -6) + (-6 - -3))? -1 Evaluate -4 + (14 - 7) - (2 - -6). -5 What is 9 + 3 - (-3 + -2 + 7)? 10 What is 9 + (-7 + 5 - 5)? 2 Calculate (-1 - -1) + 1 + -6. -5 What is 8 + -4 + -6 + 2? 0 What is the value of 2 - (-6 + 0 + 3 + 7)? -2 0 + (-8 - (-16 - -9)) -1 4 - -4 - (7 + 0) 1 3 + (-5 - (0 + -3)) 1 What is the value of 2 + 0 + -5 + 0 + 2? -1 What is 3 + (3 - 6) + -1? -1 Evaluate 3 + (-9 + 4 - -6). 4 Calculate -7 - (6 + -5) - -6. -2 What is 20 + (12 - 12 - 15)? 5 Evaluate -4 + -3 - (-1 + -9). 3 What is the value of 5 - (-1 - 4 - (-5 - 0))? 5 0 + (-5 - -5 - 4) -4 What is 22 + -22 + 3 + -7? -4 Calculate 2 + 10 + -1 + -5. 6 (6 - 1) + 7 + -14 + 0 -2 What is 2 + -5 - (0 - (-1 + 3))? -1 What is the value of 1 + 0 + 0 + 0 + -1? 0 Evaluate 17 + -11 + -1 - 14. -9 What is -10 + 22 - (3 + (2 - -2))? 5 What is 5 - 2 - ((7 - 6) + 7)? -5 What is 0 + 8 - (9 + (-9 - -4))? 4 What is -49 + 39 - (-2 + -2) - 1? -7 Calculate 5 - 15 - (8 - 9). -9 (-5 - -4) + 1 + 1 + -3 -2 Evaluate -1 + (15 - 3 - (-3 - -9)). 5 What is the value of -5 - ((-18 - -21) + -6 + 1)? -3 Calculate -6 + 9 + 2 + -3 + -3. -1 What is the value of (0 + -5 - 0) + 4? -1 What is -3 + (1 - (6 + -3))? -5 Calculate 3 + (1 + (-3 - 2) - -5). 4 What is the value of -1 + -1 - 1 - -3? 0 Calculate 5 - (-4 + (-2 - -11) + -5). 5 Calculate 4 - ((5 - 2) + -3). 4 What is the value of -8 + -15 + 29 + (-9 - -1)? -2 What is the value of (1 - (-1 + 1)) + (-23 - -25)? 3 What is (-3 - (-10 - -6)) + 3 + -9? -5 Evaluate (-11 - -8) + 10 + 0 + -13. -6 4 - (-6 + 11) - -1 0 Evaluate 0 - (8 + -12) - (0 + 4). 0 What is the value of 1 + 4 + (-2 - -3 - 8)? -2 Evaluate 5 + -2 + -2 + (0 - 1). 0 -6 + (-3 - -11) + -1 1 2 + (1 - 1 - -3 - 0) 5 What is the value of (4 - 10) + 5 + -6? -7 -2 - (4 - (2 + 9 + 0)) 5 What is 17 + -21 - (1 -
{ "pile_set_name": "DM Mathematics" }
e third derivative of 118141*t**5 - 4*t**2 + 131*t - 69. 7088460*t**2 What is the derivative of 4523*i**2 - i - 253084? 9046*i - 1 Find the second derivative of 11*f**5 - 2155*f**3 + 4998591*f. 220*f**3 - 12930*f What is the first derivative of 20320*i*o**3 - 71*i*o*t + i*o - 3*o**3*t + 6*t wrt t? -71*i*o - 3*o**3 + 6 Find the third derivative of -9694*a**3*v**3 + 4*a**3*v - a*v**2 + 3*a + 31 wrt v. -58164*a**3 What is the third derivative of -4169566*g**5 + 640105*g**2 wrt g? -250173960*g**2 What is the third derivative of -52*c**6 + 781*c**5 + 153410*c**2 wrt c? -6240*c**3 + 46860*c**2 Find the first derivative of -39*l*y**3 + 2*l*y**2 + 426*l + 28*y**3 + 17*y**2 + 53 wrt l. -39*y**3 + 2*y**2 + 426 What is the derivative of 753*l*q + 3*l + 69520*q wrt l? 753*q + 3 Find the second derivative of -106*u**4 + 100*u**3 - 41822*u. -1272*u**2 + 600*u Find the third derivative of -3999*q**5 - 2*q**4 - 119*q**3 + 35*q**2 + 3*q + 697 wrt q. -239940*q**2 - 48*q - 714 Find the second derivative of -29893*p**3 + 812*p + 10. -179358*p Differentiate 30936*u + 5887 wrt u. 30936 What is the third derivative of 212057*t*v**3 + 4*t*v**2 - 2171*t + v**3 - 2*v**2 wrt v? 1272342*t + 6 Find the second derivative of -306*m**4*r**2 + 114*m**3 - 2*m**2 + 3*m*r**2 - m - 40*r**2 + 94*r wrt m. -3672*m**2*r**2 + 684*m - 4 Differentiate 41302*y + 424916 with respect to y. 41302 What is the first derivative of 593082*z**4 + 593758 wrt z? 2372328*z**3 What is the first derivative of -28571*a*g - 20*a*h + 2*a*w**2 + 2*g*h*w**2 + 1589*g - 55*h*w**2 wrt a? -28571*g - 20*h + 2*w**2 Find the second derivative of -538*z**3 - 1511*z**2 - 92316*z - 2 wrt z. -3228*z - 3022 Find the third derivative of 121566*j**6 + 46*j**2 - 236*j. 14587920*j**3 Find the third derivative of -1969*a**3*p**3 - 5*a**3*p**2 - 30*a**2*p**2 - 6*a*p**3 - 2*p**2 wrt p. -11814*a**3 - 36*a Find the third derivative of 7*t**2*v**3 + t**2 + 3*t*v**3 - 16563*t*v**2 + 3451*v**3 - 3 wrt v. 42*t**2 + 18*t + 20706 Find the first derivative of 2*d**2*v - d**2 + 966*d*v + d + 3*v - 1165 wrt d. 4*d*v - 2*d + 966*v + 1 What is the third derivative of -2*o**4 - 25166*o**3 + 391598*o**2? -48*o - 150996 What is the second derivative of 234021*r**2 + 150*r + 89? 468042 Find the second derivative of -24*y**5 + 15133*y**2 + 23278*y + 25 wrt y. -480*y**3 + 30266 Find the third derivative of 3*q*u**6 - 1420*q*u**4 - q*u**3 + 6671*q*u**2 - 3*q wrt u. 360*q*u**3 - 34080*q*u - 6*q Differentiate 11*f*l*x - 3*f*v - 17*f*x**2 + 2*f*x + 55*l*v*x**2 - 15*l*v + l*x**2 - l*x wrt v. -3*f + 55*l*x**2 - 15*l What is the third derivative of -5545*q**6 + q**5 - 3*q**4 + 27718*q**2 + q wrt q? -665400*q**3 + 60*q**2 - 72*q What is the derivative of -32*u**4 + 509*u**3 - 58529? -128*u**3 + 1527*u**2 Find the first derivative of -17*v**3*w**2*z - 74*v**3*w - 429*v**3*z - 47*v**3 + v**2*w**2 + 4*v*w wrt z. -17*v**3*w**2 - 429*v**3 What is the second derivative of -73*v**4 + 29*v**3 - 2974*v? -876*v**2 + 174*v Find the first derivative of 732683*u**2 + 3*u + 1746381. 1465366*u + 3 What is the third derivative of 360276*s**3*t**4 + 7*s**3*t**2 + 14939*s**3 + 5*t**4 wrt t? 8646624*s**3*t + 120*t Find the second derivative of 3079*f*o*x**3 - 344*f*o*x + 115*f*x**2 + 321*f*x - o*x**3 - 2*o*x wrt x. 18474*f*o*x + 230*f - 6*o*x What is the derivative of 450859*k + 130322 wrt k? 450859 Find the third derivative of 2323*p*t**3 + 3*p*t - 2391*p + 5*t**6 - 2*t**2 wrt t. 13938*p + 600*t**3 What is the first derivative of 49113*x**4 + 2*x**2 - 7*x + 2212557 wrt x? 196452*x**3 + 4*x - 7 What is the derivative of -238010*h**4 + 346423? -952040*h**3 What is the second derivative of -4873*w**5 - 177*w - 66? -97460*w**3 Find the second derivative of -1065*v**4 - 259*v**3 - 2167542*v wrt v. -12780*v**2 - 1554*v Find the second derivative of -1000*h*k**3 + h*k**2 + 77*h*k + 2*h + 2*k**3 - 2*k + 32 wrt k. -6000*h*k + 2*h + 12*k What is the first derivative of -20*h*j**2 + 86*h + j**2 - 35*j + 82 wrt j? -40*h*j + 2*j - 35 What is the derivative of -17863*p**3*t**4 - 6124*p**3 - p**2 wrt t? -71452*p**3*t**3 What is the third derivative of 7237*p**4 + 2*p**3 - 104240*p**2 wrt p? 173688*p + 12 What is the second derivative of -2688*c**3*z - c*z + 1638*c - 9*z wrt c? -16128*c*z Find the third derivative of -404*p**2*t**6 + 3*p**2*t**3 - 71*p**2*t**2 + 136*t**2 wrt t. -48480*p**2*t**3 + 18*p**2 Find the second derivative of -54970*c**3 + 623345*c wrt c. -329820*c Differentiate -114486*h**2*s + 14*h**2 - 579*h + 13 with respect to s. -114486*h**2 What is the third derivative of -2318189*w**6 + 826320*w**2 - 1? -278182680*w**3 What is the second derivative of 3*p**5 - 620892*p**3 + 369566*p? 60*p**3 - 3725352*p What is the second derivative of -3339507*f**4 - 2*f + 1471832 wrt f? -40074084*f**2 What is the second derivative of -530*r**4 - r**3 + 5*r**2 + 2*r + 60585 wrt r? -6360*r**2 - 6*r + 10 Find the third derivative of -22162*h**6*r**3 + h**3*r**2 - 8078*h**2*r**3 + 141*h*r**3 wrt h. -2659440*h**3*r**3 + 6*r**2 Find the first derivative of 65069*k**3 - 7956. 195207*k**2 What is the second derivative of -285865*c**4 - 336403*c wrt c? -3430380*c**2 Find the second derivative of -37*h**4*k**3 + 139*h**3*k**3 + 36295*h*k - h - 2*k**3 wrt h. -444*h**2*k**3 + 834*h*k**3 What is the third derivative of -i*k**3*v**3 - 3275*i*k**3*v + 2*i*v**3 + 61110*k**2*v**2 wrt k? -6*i*v**3 - 19650*i*v Find the second derivative of 2*m**3 - 382*m**2*x + 26*m*x + 30*x + 3 wrt m. 12*m - 764*x What is the derivative of -373461*j**3*w - 15*j**3 + j*u**2*w - 16046*u**2 wrt w? -373461*j**3 + j*u**2 Differentiate -48*b**2*p + 2*b**2 + 3*b*p + 14*b - 12*p - 978 with respect to b. -96*b*p + 4*b + 3*p + 14 Differentiate 36*m**4 - m**3*x**3 - 330*m + 4*x**3 + 170*x**2 + 6 with respect to m. 144*m**3 - 3*m**2*x**3 - 330 Find the second derivative of -41*h**4 - 28*h**2 - 132*h - 90. -492*h**2 - 56 Find the third derivative of 1591128*u**4 - 3126891*u**2 wrt u. 38187072*u What is the second derivative of -10111*w**5 + 68*w**3 - 3676348*w? -202220*w**3 + 408*w Differentiate 396142*b*t**2*y**2 - b*t**2*y - 33*b*y**2 + 3*b*y + 189*b - y**2 + y wrt t. 792284*b*t*y**2 - 2*b*t*y Find the third derivative of 15564*w**6 - 874*w**2 - 38. 1867680*w**3 What is the second derivative of -155165*n**2*q**2 + 2*n**2 - 4*n*q - 143589*q**2 wrt n? -310330*q**2 + 4 Find the second derivative of 2*k**3*m**2 - 33*k**3*m - 10462*k**2*m**2 + 2*k**2*m + 5*k*m**2 + m**2 - 226*m wrt m. 4*k**3 - 20924*k**2 + 10*k + 2 What is the third derivative of 27832*o**6 - 37497*o**2? 3339840*o**3 What is the second derivative of -325641*x**3*z + 155*x*z + 3*x - 65*z + 2 wrt x? -1953846*x*z What is the derivative of -2*v**4 - v**3 + 7607*v**2 + 4*v - 224805? -8*v**3 - 3*v**2 + 15214*v + 4 Find the second derivative of 223442*p**2 + 299989*p. 446884 What is the first derivative of 2*o*u**2 - o*u + 876*o - 62961*u**2 wrt o? 2*u**2 - u + 876 Find the second derivative of -p**3*s + 12408*p**3 - 54710*p - 2*s wrt p. -6*p*s + 74448*p Find the first derivative of -898981*b + 541091 wrt b. -898981 Find the third derivative of -63173*h*o**3 + 16*h*o**2 + 1859*h wrt o. -379038*h What is the third derivative of 4772*x**4 + x**3 - 128512*x**2? 114528*x + 6 Differentiate -154101*m**3 - 260953 wrt m. -462303*m**2 Find the first derivative of -2*c**3*i**2*m - 2*c**3*i + 2*c**3 - 14*c**2*i**2 + 2*c**2 + 35*c*i**2 + 448298*i**2*m wrt m. -2*c**3*i**2 + 448298*i**2 Find the second derivative of -1106908*d**2 + 189389*d - 7 wrt d. -2213816 What is the third derivative of 2462628*w**4 + 3721564*w**2 wrt w? 59103072*w Find the third derivative of 2*o**3*w**2 - 1132*o**3*w + 4*o**3 + 4*o**2*w**2 - o**2*w + 369*o*w**2 + o wrt o. 12*w**2 - 6792*w + 24 What is the first derivative of -15*z**3 - 2*z**2 - 897*z + 16195 wrt z? -45*z**2 - 4*z - 897 What is the second derivative of 8002*h**3*i + h**3 - h**2*i - h**2 + 9*h*i - 933*h + 2*i wrt h? 48012*h*i + 6*h - 2*i - 2 Differentiate -13*b**3*r - 481*b*r + 2681*r wrt b. -39*b**2*r - 481*r What is the second derivative of -148467*d**5 - 118788*d + 1 wrt d? -2969340*d**3 What is the first derivative of o**4 - 802*o**2*q - 2*o**2 + 801*q - 35 wrt o? 4*o**3 - 1604*o*q - 4*o Find the third derivative of -2*l**4*t + l**3*t - 93
{ "pile_set_name": "DM Mathematics" }
placement from {a: 1, s: 1, t: 2}. What is prob of sequence tas? 1/12 Calculate prob of sequence qy when two letters picked without replacement from yrssrqpp. 1/56 Calculate prob of sequence tww when three letters picked without replacement from {b: 4, x: 1, d: 1, w: 3, t: 9}. 3/272 Calculate prob of sequence aa when two letters picked without replacement from {a: 7, z: 1}. 3/4 What is prob of sequence rm when two letters picked without replacement from rtmmmmrtrrrtm? 25/156 What is prob of sequence kao when three letters picked without replacement from {h: 6, o: 3, a: 5, k: 1, b: 3}? 5/1632 What is prob of sequence rii when three letters picked without replacement from {s: 1, k: 1, r: 2, i: 3, p: 3}? 1/60 Two letters picked without replacement from cffcceceeec. Give prob of sequence fe. 4/55 What is prob of sequence dj when two letters picked without replacement from {j: 3, d: 3, r: 1}? 3/14 Four letters picked without replacement from aahaaaaya. What is prob of sequence aaah? 5/72 Calculate prob of sequence mes when three letters picked without replacement from {m: 1, s: 1, e: 7}. 1/72 Calculate prob of sequence egc when three letters picked without replacement from {j: 4, c: 7, e: 5, g: 2}. 35/2448 Two letters picked without replacement from {l: 3, p: 2, y: 10}. What is prob of sequence ll? 1/35 Three letters picked without replacement from jjrjlrcrcjjrjrcallaj. What is prob of sequence jca? 7/1140 Calculate prob of sequence fffi when four letters picked without replacement from foiiffofffaaiioiifr. 35/2584 Calculate prob of sequence op when two letters picked without replacement from {t: 2, p: 1, o: 1}. 1/12 Two letters picked without replacement from {s: 6, i: 4}. What is prob of sequence si? 4/15 Calculate prob of sequence ridr when four letters picked without replacement from rrrdidiiirrriidid. 1/68 Calculate prob of sequence jmwj when four letters picked without replacement from {f: 2, t: 1, w: 3, m: 1, j: 12}. 11/2584 What is prob of sequence sss when three letters picked without replacement from sssppbsbppsssspbb? 7/85 Calculate prob of sequence pppp when four letters picked without replacement from {o: 5, p: 15}. 91/323 What is prob of sequence mb when two letters picked without replacement from {c: 2, o: 1, f: 6, v: 5, b: 1, m: 1}? 1/240 Calculate prob of sequence vnn when three letters picked without replacement from {v: 2, n: 2, h: 2}. 1/30 What is prob of sequence ivq when three letters picked without replacement from {v: 3, q: 1, i: 1}? 1/20 What is prob of sequence zlz when three letters picked without replacement from lzsz? 1/12 Two letters picked without replacement from {w: 10, u: 9}. What is prob of sequence wu? 5/19 What is prob of sequence yyu when three letters picked without replacement from yyuyuuuyuu? 1/10 What is prob of sequence pm when two letters picked without replacement from {m: 11, p: 1, j: 1}? 11/156 Calculate prob of sequence juuw when four letters picked without replacement from {s: 1, q: 2, j: 1, w: 1, u: 5}. 1/252 What is prob of sequence ee when two letters picked without replacement from eepppppeep? 2/15 Four letters picked without replacement from fqvdyfyiddqfiq. Give prob of sequence iiqv. 1/4004 What is prob of sequence ze when two letters picked without replacement from ennenoeneznennee? 7/240 What is prob of sequence evqg when four letters picked without replacement from {q: 1, v: 1, e: 1, m: 3, y: 1, g: 5}? 1/2376 Calculate prob of sequence ffd when three letters picked without replacement from {d: 9, f: 3}. 9/220 What is prob of sequence hgff when four letters picked without replacement from hhgfifgffffhgh? 15/1001 Calculate prob of sequence ec when two letters picked without replacement from {k: 3, g: 4, c: 1, e: 2}. 1/45 Four letters picked without replacement from jsurzguzjjsgzjzzzsuu. What is prob of sequence jurg? 4/14535 Two letters picked without replacement from {n: 4, b: 2}. Give prob of sequence bb. 1/15 What is prob of sequence ppmr when four letters picked without replacement from rpppprpppppmpp? 5/546 Three letters picked without replacement from {e: 1, i: 1, z: 1}. Give prob of sequence eiz. 1/6 Two letters picked without replacement from {l: 2, s: 7, i: 8, p: 2}. Give prob of sequence ss. 7/57 Two letters picked without replacement from {h: 1, s: 5, f: 1, u: 3, b: 1, l: 2}. What is prob of sequence lh? 1/78 What is prob of sequence waa when three letters picked without replacement from qaawa? 1/10 Calculate prob of sequence ttut when four letters picked without replacement from tuuututtttuuuuutttuu. 77/1615 What is prob of sequence vuu when three letters picked without replacement from {v: 2, u: 9}? 8/55 Four letters picked without replacement from {w: 3, o: 3, b: 8, u: 2}. Give prob of sequence obob. 1/130 Three letters picked without replacement from {g: 4, r: 12, s: 4}. Give prob of sequence ssg. 2/285 Calculate prob of sequence er when two letters picked without replacement from feldrellllblelfbef. 2/153 Four letters picked without replacement from xxxxmxxgxgxxgxxx. What is prob of sequence xmxg? 33/3640 Four letters picked without replacement from {m: 6, e: 2}. Give prob of sequence meme. 1/28 What is prob of sequence km when two letters picked without replacement from {m: 8, h: 5, l: 2, k: 2}? 1/17 Two letters picked without replacement from htsttttttstttt. Give prob of sequence sh. 1/91 Calculate prob of sequence fgff when four letters picked without replacement from {g: 5, f: 3}. 1/56 Calculate prob of sequence kw when two letters picked without replacement from kwzkwzss. 1/14 Four letters picked without replacement from {y: 3, x: 4, d: 2}. What is prob of sequence xyxx? 1/42 Four letters picked without replacement from {s: 3, n: 1, q: 3, o: 5, g: 7}. Give prob of sequence snqo. 5/10336 What is prob of sequence dvq when three letters picked without replacement from {v: 2, q: 2, y: 8, d: 3}? 2/455 Three letters picked without replacement from ffzffhpffhfjejf. Give prob of sequence fpf. 4/195 Three letters picked without replacement from {c: 4, n: 2, m: 2, p: 2, z: 1, f: 1}. What is prob of sequence znn? 1/660 What is prob of sequence vbv when three letters picked without replacement from {f: 3, v: 6, b: 6}? 6/91 Four letters picked without replacement from jwjjjw. What is prob of sequence wjjw? 1/15 Two letters picked without replacement from nnmnmmymmmxmmxnm. Give prob of sequence my. 3/80 Four letters picked without replacement from {v: 5, c: 2, j: 3, m: 2, e: 3}. What is prob of sequence mmej? 1/1820 Three letters picked without replacement from ryrrwrwwrrrfrwrfwwww. What is prob of sequence frw? 2/95 Four letters picked without replacement from wtwawwxx. Give prob of sequence wxtw. 1/70 Calculate prob of sequence vi when two letters picked without replacement from hwiihhvhhhvwwvvhhh. 4/153 What is prob of sequence paae when four letters picked without replacement from {e: 1, a: 5, p: 14}? 7/2907 Three letters picked without replacement from {n: 2, r: 8}. Give prob of sequence nrr. 7/45 Three letters picked without replacement from {w: 4, r: 7, v: 4}. Give prob of sequence wwv. 8/455 What is prob of sequence daad when four letters picked without replacement from {a: 3, o: 2, d: 3, v: 2, w: 3, c: 1}? 3/2002 Two letters picked without replacement from {j: 4, e: 1, c: 3, w: 3}. What is prob of sequence wj? 6/55 Four letters picked without replacement from {q: 4, e: 3, h: 2}. Give prob of sequence qhee. 1/63 What is prob of sequence fee when three letters picked without replacement from {e: 12, f: 1}? 1/13 Three letters picked without replacement from yjgjiiyjjyjggyuggiy. What is prob of sequence iii? 1/969 Calculate prob of sequence xrrx when four letters picked without replacement from xrxrx. 1/10 What is prob of sequence ro when two letters picked without replacement from {t: 1, r: 1, o: 2}? 1/6 What is prob of sequence ra when two letters picked without replacement from rcacccaac? 1/24 Three letters picked without replacement from {n: 4, y: 3, s: 1}. Give prob of sequence yyn. 1/14 Three letters picked without replacement from gegggggggeeggg. What is prob of sequence ege? 11/364 Three letters picked without replacement from zzzzhzzzzzzh. Give prob of sequence hhz. 1
{ "pile_set_name": "DM Mathematics" }
atest common factor of t and 737? 67 Let i be (-15)/3 - -70 - 5/1. What is the highest common factor of i and 960? 60 Let n = 55 + -55. Suppose n = 2*b + 3*r - 44, -4*b + 42 = -3*r - 10. Let h(s) = -6*s + 4. Let z be h(-6). What is the highest common divisor of z and b? 8 Suppose 2 = -0*f + 2*f - 4*z, 5*f + 17 = -z. Let y be (-3 - (10 + f))*-1. What is the highest common factor of y and 110? 10 Let y be (759/6)/(14/28). Calculate the highest common factor of 23 and y. 23 Let j be (-6)/((-15)/(-200)*-1). Let u be (-20)/3*3/(-2). What is the highest common factor of j and u? 10 Let f(x) = 6*x - 22. Let q be f(13). Let o = 3 + 11. Calculate the greatest common divisor of q and o. 14 Let y = 220 + -157. Let z(t) = -8*t - 9. Suppose -4*p - 23 = -5*m, -6*p + 3*p - m = 3. Let s be z(p). Calculate the greatest common factor of s and y. 7 Let z be (-3 - -1)/((-4)/8). Let q(v) = 22*v - 63. Let w be q(z). Calculate the highest common factor of 100 and w. 25 Let j = 656 + -591. What is the greatest common factor of 1625 and j? 65 Suppose 4*p - q = 117, 2*q + 4 - 10 = 0. Let k be 4/5 + 122*3/p. What is the greatest common factor of k and 143? 13 Let c(a) = a + 72. Let y be c(-7). Calculate the greatest common factor of y and 26. 13 Let h be (-1010)/(-7) + (-2)/7. Suppose l = -0*l + 8. Let g(n) = n + 8. Let s be g(l). Calculate the highest common factor of h and s. 16 Let f(d) = d**2 + 45*d - 239. Let b be f(5). Suppose 2*l + 14 = j, 22 = 2*j + 3*l - 34. Calculate the greatest common factor of b and j. 11 Suppose -g + 53 = 148. Let z = 15 - g. Let i be 2 + -42*(-3 - -2). What is the greatest common factor of i and z? 22 Let i be -2 - -1 - (-1092)/21. What is the greatest common divisor of i and 357? 51 Suppose b - 5 = -7. Let c = b + 28. What is the greatest common divisor of 65 and c? 13 Suppose 0 = 11*p - 8*p + 21. Let x be ((-78)/2)/(p/42). Calculate the highest common divisor of 26 and x. 26 Let w = 5197 + -1221. What is the highest common factor of 56 and w? 56 Let k = 417 + -240. What is the highest common factor of 3 and k? 3 Suppose 0 = 2*u - 5*h - 1728, 5*h - 3396 = -11*u + 7*u. Calculate the highest common divisor of 42 and u. 14 Suppose 3*f = -4*k - 213, -f = 3*k + 87 + 79. Let l = k + 84. What is the highest common divisor of 36 and l? 9 Let i = 483 + -462. What is the greatest common factor of 189 and i? 21 Suppose 147 = 8*v - 45. Calculate the greatest common divisor of v and 30. 6 Let x = -1090 - -2171. What is the highest common divisor of x and 47? 47 Suppose 27 = -5*w - 373. Let z be 4/(w/(-39) + -2). What is the highest common factor of z and 26? 26 Suppose -3*o + 370 = -314. Calculate the greatest common divisor of 342 and o. 114 Let n(g) = -13*g. Let u be n(-4). What is the highest common divisor of u and 4? 4 Suppose -42 = 3*y + 5*c, 0 = c - 2 + 5. Let j be (-300)/y - (-4)/6. Calculate the highest common factor of j and 306. 34 Let b = 209 - 195. Calculate the highest common divisor of b and 56. 14 Let v be (-4)/(-18) + 260/(-36). Let o be 3*v*1/(-3). Suppose -p = j - 1, 3*j + 67 = -4*p + 77. Calculate the greatest common factor of p and o. 7 Suppose -5*x - 47 = -b, 4*b + 6*x - x = 63. Calculate the highest common factor of b and 56. 2 Let p(c) = -9*c**3 + 2*c**2 + 2*c + 1. Let y be p(-1). Let r = y - -9. Let m be 4252/28 - 2/(-14). Calculate the highest common factor of m and r. 19 Let f be -2*(-1)/((-2)/(-5)). Let p = f - -6. Let l(z) = 7*z**2 + 20*z + 46. Let u be l(-5). What is the highest common divisor of u and p? 11 Suppose -3*w - l + 87 = 0, 2*w + 2*l + 2*l = 58. Calculate the highest common divisor of 1247 and w. 29 Suppose -2*y = -7*y + 10. Suppose -c - c + 68 = p, -y*p = -8. Suppose 0 = 4*z - 2*z - c. Calculate the greatest common divisor of 2 and z. 2 Suppose 256*a - 235*a - 693 = 0. Suppose -4*l - 4*b = b + 3, -5*l + 4*b + 27 = 0. Calculate the greatest common factor of a and l. 3 Let k(s) = -s**2 - 12*s + 3. Let x be k(-12). Let g be (-2)/3 - 147/9. Let w = -8 - g. Calculate the highest common divisor of x and w. 3 Suppose -x - 2*x = -5*x. Suppose 3*p = 12, -2*s + 3*p - 3 + 1 = x. What is the greatest common divisor of 25 and s? 5 Let a(o) = 18 - 26*o**3 + 16*o**3 - 20*o + 11*o**3 - 11*o**2. Let x be a(13). What is the highest common divisor of 12 and x? 12 Let j(f) = -f**2 + 5. Let w be j(5). Let p = -2 - w. Calculate the greatest common factor of p and 2. 2 Let n(q) = q**2 - 13*q + 27. Let a be n(11). What is the greatest common divisor of 1 and a? 1 Let l be (1 - -2 - -7) + 0. Let b be (12/5)/(l/25). Suppose -30 = -3*r + b. Calculate the highest common divisor of r and 132. 12 Let i be 6/(-14) + (-3498)/(-77). Let c = -37 + i. What is the highest common divisor of 1 and c? 1 Let j be (-4)/3*39/26. Let i be 1/(-4) + j*543/(-24). What is the greatest common divisor of i and 10? 5 Suppose -2 - 7 = -3*l. Suppose -8*q + 185 = -l*q. Let b = q + -24. What is the highest common factor of 26 and b? 13 Let v be 1*(-84)/(-4) + (-2 - -1). Suppose -4*q = v - 128. Calculate the greatest common divisor of 63 and q. 9 Suppose 3*r + 23 = k + 5, 10 = 5*r. Let x = -19 + k. Suppose -n + 384 = x*n. What is the highest common factor of n and 8? 8 Let y = 67 - 51. Let t(u) = -u + 38. Let l be t(y). Calculate the greatest common factor of l and 2. 2 Let v be (12/(-21))/((-5)/35). Suppose -v*m + 6 = -10. What is the highest common factor of m and 1? 1 Let l(j) = -2*j**3 + 2*j**2 - 3*j. Let m be l(2). Let f = -16 - m. Let n be 234/30 + f/(-10). What is the greatest common factor of 32 and n? 8 Let q be ((-200)/15)/(2/(-15)). Suppose 0 = 5*x, 27 = o - 2*x + 7. Calculate the greatest common divisor of q and o. 20 Let x(k) = k**2 + 160. Let f be x(0). Let j = 33 + -13. What is the greatest common divisor of f and j? 20 Let x(s) = 3*s**2 + 4. Let p be x(4). Let h(f) = -266*f + 331. Let m be h(1). What is the greatest common divisor of p and m? 13 Let u = 200 + -32. Suppose -u = -0*j - 3*j. Calculate the highest common divisor of 28 and j. 28 Let j(d) = -d + 6. Let x be j(0). Let p(h) = 2*h**2 - 4*h - 4. Let g be p(x). What is the greatest common factor of g and 396? 44 Suppose 2*p = -5*x + 60, p - 14 - 16 = 5*x. Let z = p - 20. What is the highest common factor of z and 20? 10 Let c(n) = -n**2 - 22*n - 83. Let g be c(-17). Calculate the greatest common factor of 8 and g. 2 Let t be ((-98)/7 - -9)*-64. What is the greatest common divisor of 8 and t? 8 Let m(q) = 7*q + 1. Let n be m(4). Let u(i) = i**3 - 6*i**2 - 11*i + 9. Let d be u(8). Let j = d - n. What is the greatest common divisor of j and 10? 10 Let x(z) = 7*z**2 + 3*z - 3. Let j(h) = -h**2 + 1. Let r(p) = 6*j(p) + x(p). Let g = 185 - 187. Let s be r(g). What is the greatest common divisor of s and 11? 1 Suppose -v - 2088 = -10*v. Let y = -106 + v. Calculate the highest common factor of 14 and y. 14 Suppose -11*t - 630 = -29*t. Suppose -5*y = d + d - 1219, 2*y - 496 = 2*d. Calculate the highest common factor of y and t. 35 Let o = -10 + 26. Suppose -327 = -4*x + 7*x. Let z = x - -253. Calculate the highest common divisor of o and z. 16 Let u = -109 - -181. Let h(x) = -91*x - 9. Let j be h(-3). Suppose -u = 2*f - j. Calculate the highest common divisor of 12 and f. 12 Let c = 21 - 19. Suppose -5*y + c*o = 4*o - 896, 0 = 2*y - 3*o - 366. Let b = y + -90. What is the highest common factor of 10 and b? 10 Let j be (10 - 1)/((-20)/(-4) + -6). Let w be (-30)/j - (-7)/(-21). Calculate the highest common factor of 27 and w. 3 Let v(x) = -3*x**2 + 2*x - 9. Let s(b) = -b**2 + b. Let f(i) = 2*s(i) - v(i). Let n be f(-3). Calculate the greatest common divisor of 9 and n. 9 Let y(s) = -s**3 + 16*s**2 + 16*s + 22. Let r be y(17). Suppose -2*f - 3*g = -3*f + 3, -f = r*g - 3. What is the highest common divisor of 24 and f? 3 Let g = -2 + 5. Let y be 3/(-9)*-70*g. Suppose 3*h = -2*h + y. What is the greatest common factor of 21 and h? 7 Suppose -l - 8 = 3*l. Let x be (-1 - -2) + (l - -111). Let m = 0 + 10. What is the greatest common divisor of m and x? 10 Let z be (280*2/(-6))/((-2212)/(-84) - 27). Suppose 2*w - 149 + 37 = 0. Calculate the highest common divisor of z and w. 28 Let d(q) = -q**2 - 11*q - 23. Let n be d(-7). Suppose 2*y = -v + 343, n*y + 2*v = v + 856. Calculate the greatest common divisor
{ "pile_set_name": "DM Mathematics" }
is 15 - 1484? -146b In base 5, what is 32 - 10241443? -10241411 In base 8, what is -216533 + 25? -216506 In base 11, what is -68 - 71a? -787 In base 15, what is 299038 - 0? 299038 In base 9, what is -4301 - 10? -4311 In base 3, what is 110010002 + 1020? 110011022 In base 15, what is -930 - -6? -929 In base 3, what is -12000100 - -21222? -11201101 In base 11, what is -260159 + -4? -260162 In base 4, what is -11 - -112323002? 112322331 In base 2, what is 11100100000110010 + -1000? 11100100000101010 In base 14, what is d23a + -2? d238 In base 5, what is -21132 - -12? -21120 In base 13, what is -2ca261 + 0? -2ca261 In base 5, what is 3 - -11203113? 11203121 In base 2, what is 11010 + -1011011011100? -1011011000010 In base 6, what is 5 - 2140314? -2140305 In base 13, what is 1 - -178424? 178425 In base 15, what is -3 - dcc8? -dccb In base 12, what is 13953 - -5? 13958 In base 15, what is 155176 - -1? 155177 In base 16, what is 11c - 126? -a In base 6, what is -1424402 + -1? -1424403 In base 5, what is 10213 - -42210? 102423 In base 16, what is -8be0d - 3? -8be10 In base 11, what is -23690 + -9? -23699 In base 8, what is -3 + -6304? -6307 In base 7, what is -166 - -334? 135 In base 10, what is -150 - -7465? 7315 In base 4, what is -123103311 + -2? -123103313 In base 7, what is 5121 - -5? 5126 In base 10, what is -35 + -717? -752 In base 11, what is 3 + -34149? -34146 In base 4, what is 10 + 11223302? 11223312 In base 5, what is -11 + -22400440? -22401001 In base 13, what is -a9ab4 - -2? -a9ab2 In base 11, what is -2077 - 284? -2350 In base 10, what is 2571 + 39? 2610 In base 6, what is 310 + 134534? 135244 In base 4, what is 32001 + -12311? 13030 In base 16, what is -1be9 - 35? -1c1e In base 14, what is -1 - 88? -89 In base 3, what is 212210012112 - 11? 212210012101 In base 9, what is 2206 - 266? 1830 In base 5, what is -23322 - -142? -23130 In base 7, what is 63511 - 4? 63504 In base 6, what is -234 + -1145? -1423 In base 9, what is 4387632 + -5? 4387626 In base 6, what is -25513000 - 1? -25513001 In base 7, what is 226 - 116? 110 In base 14, what is 9dc7 - -5? 9dcc In base 3, what is 10200210 - 112? 10200021 In base 13, what is c5a - 55? c05 In base 15, what is -2 - 1de6e? -1de71 In base 3, what is 2 + 10111211111? 10111211120 In base 7, what is 543200 + -1? 543166 In base 12, what is 14 - -693a9? 69401 In base 16, what is -8 + 4772? 476a In base 8, what is -557 - -112? -445 In base 7, what is 1061 - 20? 1041 In base 10, what is -23922 + -4? -23926 In base 11, what is -2483 + aa? -2384 In base 8, what is -551503 + -3? -551506 In base 14, what is 4 - -825a7? 825ab In base 11, what is 13244 + 5? 13249 In base 3, what is -20102100112 + -211? -20102101100 In base 4, what is -20 - -323? 303 In base 5, what is 110004441 + 3? 110004444 In base 4, what is -233120011 + 11? -233120000 In base 7, what is 140316 + -21? 140265 In base 14, what is -77b2 - -1? -77b1 In base 9, what is 4 - -631802? 631806 In base 10, what is -1 - 42422? -42423 In base 7, what is -113530 - 0? -113530 In base 11, what is 4 + 618279? 618282 In base 12, what is -390a2 - -11? -39091 In base 4, what is -323333 - 1233? -331232 In base 13, what is -7 + -191869? -191873 In base 15, what is 1b - -131cb? 131e7 In base 12, what is -3998b + 0? -3998b In base 8, what is 54534 - 11? 54523 In base 15, what is 0 + -147a? -147a In base 6, what is 42235250 - 3? 42235243 In base 11, what is 30 + 750? 780 In base 16, what is -1064aa + 0? -1064aa In base 10, what is 117 + 2948? 3065 In base 4, what is 1223330 + -3? 1223321 In base 7, what is -45166 - -64? -45102 In base 16, what is 19b79 + 1? 19b7a In base 2, what is 0 - 11011011111011001? -11011011111011001 In base 15, what is -1696 - 2b7? -195d In base 13, what is -aac - 26? -b05 In base 10, what is -2 + -11195? -11197 In base 6, what is -120 + -534? -1054 In base 12, what is -205 + -41? -246 In base 10, what is -8229 + 46? -8183 In base 3, what is -200122 - 1111020? -2011212 In base 4, what is -202 - 1320023? -1320231 In base 8, what is 776 + 71? 1067 In base 9, what is -18647 + -3? -18651 In base 3, what is -211212 + 1202121? 220202 In base 10, what is -4 + -17679? -17683 In base 10, what is 13740 + -3? 13737 In base 12, what is -262 - -131? -131 In base 5, what is -132140 + 31? -132104 In base 8, what is -325164 - -5? -325157 In base 2, what is -10 + -10011010111101? -10011010111111 In base 8, what is 250521 + 1? 250522 In base 13, what is 15b90 + -2? 15b8b In base 14, what is -3a1cd + -5? -3a1d4 In base 14, what is -dd6d - -3? -dd6a In base 12, what is 212a - -41? 216b In base 6, what is 243 + -210144? -205501 In base 4, what is -3 + 1212013? 1212010 In base 15, what is -2cab9 + c? -2caac In base 13, what is 1b9b44 + 0? 1b9b44 In base 15, what is -1dc7d + 4? -1dc79 In base 4, what is 10 + 20103223? 20103233 In base 2, what is 1110001111001111 - -100? 1110001111010011 In base 8, what is 5 - 75447? -75442 In base 12, what is -65 - -110? 67 In base 16, what is f5 - -d57? e4c In base 6, what is 3 + 334354? 334401 In base 5, what is 2320020312 - -10? 2320020322 In base 14, what is 240 + -1177? -d37 In base 6, what is 4304 - -102? 4410 In base 2, what is -100010001111111101 + -101? -100010010000000010 In base 15, what is -189c - 19? -18b6 In base 10, what is 42278 + 5? 42283 In base 11, what is -80372 - 3? -80375 In base 2, what is 101 + -10011000110110? -10011000110001 In base 15, what is 201 + -173? 7d In base 15, what is 40a + -40? 3ba In base 4, what is 1031 - -213300? 220331 In base 6, what is -5224210 + 2? -5224204 In base 2, what is -10 - -11001110111100? 11001110111010 In base 10, what is 23104 - -1? 23105 In base 11, what is -21870 + 3? -21868 In base 4, what is -2120030100 - -1? -2120030033 In base 9, what is -850375 + 2? -850373 In base 6, what is 331 + 131201? 131532 In base 9, what is 177277 + -4? 177273 In base 8, what is -32 + -1146? -1200 In base 10, what is -7 + -2966? -2973 In base 7, what is -22 - -53141? 53116 In base 12, what is -2a64 + 0? -2a64 In base 5, what is 201012 + -424? 200033 In base 7, what is 126 - -31546? 32005 In base 8, what is -3463 - -405? -3056 In base 9, what is -265 + -4100? -4365 In base 12, what is -264503 + -6? -264509 In base 8, what is -15246 + -2? -15250 In base 10, what is 1110 - -48? 1158 In base 4, what is -2131003 - 2? -2131011 In base 9, what is -2150 + 417? -1632 In base 8, what is 6271025 - -3? 6271030 In base 12, what is 7 - -28965? 28970 In base 10, what is -2 + 107084? 107082 In base 16, what is 5 - 19c3? -19be In base 9, what is -116 - 180? -306 In base 7, what is 353 - -1254? 1640 In base 2, what is 110100001101111 - 110? 110100001101001 In base 6, what is 1 + -33133? -33132 In base 15, what is -e8d - 66? -1004 In base 7, what is 11061 + -4? 11054 In base 8, what is 22007 + 2? 22011 In base 8, what is -6 - 232677? -232705 In base 13, what is 105 + -bc? 16 In base 6, what is -15 - -35250? 35231 In base 3, what is 11 - 21101012? -21101001 In base 5, what is 100331 + 104? 100440 In base 10, what is -99 + 2? -97 In base 2, what is 101111100011010 + -11? 101111100010111 In base 3, what is 102221 + -20? 102201 In base 6, what is -3 - -245101? 245054 In base 5, what is 141142111 + -10? 141142101 In base 9, what is 2 - -58386? 58388 In base 12, what is -287b26 + 2? -287b24 In base 8, what is 36 - 7633? -7575 In base 3, what is -1 - -101121211? 101121210 In base 11, what is -4 + 59464? 59460 In base 10, what is -17 + 3140? 3123 In base 5, what is -4 + 10213403? 10213344 In base 16, what is d + -978? -96b In base 6, what is -102513100 - 4? -102513104 In base 13, what is 6 + -48553? -4854a In base 10, what is 3 - -117453? 117456 In base 8, what is -10252554 - 2? -10252556 In base 3, what is -1000202 - 1021? -1002000 In base 6, what is 51310 + 250? 52000 In base 3, what is -1120020 - 121? -1120211 In base 13, what is aa + 93? 170 In base 3, what is -2 + 101022022? 101022020 In base 9, what is -583 - 7? -601 In base 2, what is -101111001100010000 + 100? -101111001100001100 In base 12, what is -b6 + -8? -102 In base 8, what is -471 + -502? -1173 In base 6, what is -2245 - 144? -2433 In base 7, what is 16361116 + -4? 16361112 In base 14, what is -6 + -6488? -6490 In base 7, what is -160232 - 15? -160250
{ "pile_set_name": "DM Mathematics" }
ind the third derivative of -305*c**3 + 334*c**2. -1830 Find the second derivative of -2756*t**2 + t + 1781. -5512 What is the second derivative of -4*u**3 + 11*u**2*x**2 + 2*u*x - 26*u - x**2 wrt u? -24*u + 22*x**2 What is the third derivative of -14*a**2*u**4 + 323*a**2 - 2*a*u**2 - 3*a*u + 18*u**6 wrt u? -336*a**2*u + 2160*u**3 What is the second derivative of 16*c**3*h**2*m**2 + 6*c**3 + 15*c*h**2*m**2 - c*h**2*m + 3*m**2 wrt c? 96*c*h**2*m**2 + 36*c What is the third derivative of g**3*k*q + 6*g**3*k - 16*g**3*q**3 - 51*g**3*q**2 - g*k*q**3 - 59*k*q**3 - q**2 wrt q? -96*g**3 - 6*g*k - 354*k Find the third derivative of 2*a**6*l + 178*a**4*l - 2*a**2*l + 129*a*l - a wrt a. 240*a**3*l + 4272*a*l Differentiate 430*i*w + 2*w + 10 wrt i. 430*w Differentiate -3314*g**2 + 4133 wrt g. -6628*g Differentiate -2139*a**3 + 4*a**2 - 11865 with respect to a. -6417*a**2 + 8*a Differentiate 2*i*k*w*x**2 + 50*i*k*w*x - 7*i*x**3 - 2*k*w - k*x + 15*k + 3*w*x**3 wrt i. 2*k*w*x**2 + 50*k*w*x - 7*x**3 Differentiate 3*f**3*q*t**3 + 18*f**3*q*t - 7*f**3*t**3 - 2*f**3*t**2 + t**3 wrt q. 3*f**3*t**3 + 18*f**3*t Find the first derivative of -i*n**2 + i*n - i*r - 10*n**2*r**3 + 70*r**3 + 23 wrt r. -i - 30*n**2*r**2 + 210*r**2 Find the second derivative of 16*k**3 - 52*k**2 - 2160*k. 96*k - 104 What is the third derivative of c**3*i**3*l**3 + 17*c**3*i**3 + 4*c*i*l**2 - 159*i**3*l**3 - 2*i**2*l wrt l? 6*c**3*i**3 - 954*i**3 What is the derivative of 5*f**3 + 83*f**2 - 1354? 15*f**2 + 166*f Find the third derivative of -74*m**5 + 5*m**4 + 2*m**2 - 148*m. -4440*m**2 + 120*m Find the third derivative of 35*s**4 + 4*s**3 - 2*s**2 - 443. 840*s + 24 Find the second derivative of -3*y**5 + 33*y**3 - 5*y**2 + 1531*y - 1 wrt y. -60*y**3 + 198*y - 10 What is the first derivative of -d*y**3 + 408*d*y**2 - 525*y**3 wrt d? -y**3 + 408*y**2 Find the first derivative of 531*m**2 - 2*m - 2366. 1062*m - 2 Find the third derivative of 10522*g**3*w**3 - 76*g**3*w**2 - 68*g**3*w + 2*g wrt w. 63132*g**3 Find the second derivative of -2*b*f**3 + 4*b*f*p**2 - 25*f**3*p**2 + 59*f*p wrt p. 8*b*f - 50*f**3 What is the third derivative of -n**2*q**3 - 106*n**2*q**2 - 173*n*q**3 wrt q? -6*n**2 - 1038*n Differentiate -36*l**3 + l**2 + 771 wrt l. -108*l**2 + 2*l What is the second derivative of -2*t**3*x**2 + 2590*t**2*x**3 + t*x**2 + 12*t + 114*x**3 wrt t? -12*t*x**2 + 5180*x**3 What is the first derivative of 108*h**4 - 423? 432*h**3 Find the first derivative of -39*h**2 + 414. -78*h What is the second derivative of -116*c**5 + 57*c - 1? -2320*c**3 Find the second derivative of 31*o**4 + 2*o**3 + 489*o wrt o. 372*o**2 + 12*o Find the third derivative of -4*a**5 - 3*a**4*l**3 + a**2 - 169*l**3 wrt a. -240*a**2 - 72*a*l**3 Find the second derivative of -4*a**3 - a**2*l - 4*a*l - a - 10*l wrt a. -24*a - 2*l What is the second derivative of 2*h**4*q**3*u + 643*h**3*q**3*u - h*q**3*u - 53*h*q**3 - h*q*u - 3*q**3*u wrt h? 24*h**2*q**3*u + 3858*h*q**3*u Find the second derivative of 5*c*m**3 + 50*c*m**2 + 4*c + 2*m**3 + 94*m wrt m. 30*c*m + 100*c + 12*m What is the third derivative of -197*c**6 - 32*c**2 - 5*c? -23640*c**3 Find the second derivative of 2*f**5*p**2 - 3429*f**5*p + f*p - 39*p**2 + 2*p - 14 wrt f. 40*f**3*p**2 - 68580*f**3*p Differentiate -q**2 - 383*q - 5990. -2*q - 383 What is the third derivative of 3*o**2*u**3 + 9*o**2*u + 3*o*u**5 + 2*o*u**3 - 7*u**2 wrt u? 18*o**2 + 180*o*u**2 + 12*o Differentiate -5145*b**2*m**3 - 2*b**2*m**2 + 6858*b**2 + b wrt m. -15435*b**2*m**2 - 4*b**2*m Find the third derivative of 7*g**4 + 2*g**3*y**2 - 5*g**2*y**2 - 4*g*y**2 - 4*y wrt g. 168*g + 12*y**2 What is the second derivative of -640*z**2 + 1105*z? -1280 Find the second derivative of -454*l**3*x**4 - 2*l**3*x**3 - l**3*x + 3*l**3 - 88*l wrt x. -5448*l**3*x**2 - 12*l**3*x Find the third derivative of 1744*r**3 + 11*r**2 - 43. 10464 Find the third derivative of 1586*z**3 - 3*z**2 + 119 wrt z. 9516 Find the third derivative of 5*a**4 + 3*a**3*m + 2*a**2*m + a*m - 2*m wrt a. 120*a + 18*m Differentiate 24*c**3 - 2*c**2*k**3 + 27*k**3 + 4 with respect to c. 72*c**2 - 4*c*k**3 Find the second derivative of -40*a**3 - 3*a**2 - 480*a. -240*a - 6 Find the first derivative of 2*g*k**2 - g*k + 432*g + 10*k**3 - 1 wrt k. 4*g*k - g + 30*k**2 What is the third derivative of 4*d**6 + 26*d**5 - 15*d**3 - d**2 - d + 3577? 480*d**3 + 1560*d**2 - 90 Find the second derivative of 156*d**2*o**3 + d*o**3 - 56*d wrt d. 312*o**3 Find the third derivative of n**3*s**3 - 17042*n**3*s**2 - 3*n**2 + 509*n*s**3 wrt n. 6*s**3 - 102252*s**2 What is the first derivative of 2*f**2*n*z + 2*f**2*n - 60*f**2 - 923*f*n*z - 5*f*z - z wrt n? 2*f**2*z + 2*f**2 - 923*f*z Find the third derivative of 1165*q**5 + 3980*q**2. 69900*q**2 What is the second derivative of -3*y**3 + 157*y**2 - 3536*y? -18*y + 314 Differentiate -2*v*z**2 + 885*v - z**2 + 1363 wrt v. -2*z**2 + 885 Find the first derivative of 2*o**3 - 209*o + 1243. 6*o**2 - 209 Find the first derivative of 13071*z**4 + z + 13242. 52284*z**3 + 1 What is the derivative of -p*u*z + 5028*p*z + 926*u*z + z - 2 wrt p? -u*z + 5028*z Find the first derivative of -3*d**2*v - 3*d*g*i*v - 81*d*g*i - 2*g*v - g + 90*i*v - 2*i wrt d. -6*d*v - 3*g*i*v - 81*g*i Find the first derivative of -13*c**2*o**2 + 35*c**2*o + 33*c**2 - 2 wrt o. -26*c**2*o + 35*c**2 What is the third derivative of -214*t**5 + 158*t**2 wrt t? -12840*t**2 Find the third derivative of 64*h**3*q**3 - 347*h**3*q**2 - 2*h*q**4 wrt q. 384*h**3 - 48*h*q What is the second derivative of -3*d**4*y**3 + 23*d**4*y**2 - 8*d - 2*y**3 wrt d? -36*d**2*y**3 + 276*d**2*y**2 What is the third derivative of -164*c*t**2*u**4 + 3*c*t*u**2 - 6*c*u**3 + 2*t**2*u**2 + 7*t**2*u - 57*t**2 wrt u? -3936*c*t**2*u - 36*c Differentiate 2*q**3*w**2 - 113*q**3 + 921*q*w**2 + 5*q + 3 wrt w. 4*q**3*w + 1842*q*w What is the derivative of 208*v**2*y + 2*v**2 + 5 wrt y? 208*v**2 What is the third derivative of 852*q**5 - q**2 - 458*q wrt q? 51120*q**2 What is the third derivative of -1904*h**3 - 254*h**2 wrt h? -11424 Differentiate -2*p*r*y**2 - 9*p*r - 2*p - 99*y**2 with respect to r. -2*p*y**2 - 9*p What is the third derivative of c*x**3 + 2*c*x + 109*x**5 + 136*x**2 wrt x? 6*c + 6540*x**2 Find the second derivative of -2681*s*t**2 + 536*s*u**3 - 5*t**2*u**3 - 3*t**2*u + 2*u**3 wrt u. 3216*s*u - 30*t**2*u + 12*u Find the third derivative of 3101*s**5 + 271*s**2 - 6*s + 1. 186060*s**2 Find the second derivative of 730*g**2 + 2*g + 17. 1460 What is the second derivative of 28*j**3 + 2*j**2 + 28*j + 1 wrt j? 168*j + 4 Find the second derivative of -34*h**3*i + 2*h**2*i**2 + 2*h + 157*i**2 wrt h. -204*h*i + 4*i**2 What is the first derivative of -39*t**2 + t + 1441? -78*t + 1 Find the first derivative of 2*d**3*m + 2*d**2*m - 293*d**2 + 296*m - 1 wrt d. 6*d**2*m + 4*d*m - 586*d What is the third derivative of -4*b**4 + 2*b**3*p**2 - 4*b**3*p + b**2*p**2 - 5*p**2 - 6 wrt b? -96*b + 12*p**2 - 24*p Find the third derivative of -6*l*v**4 + 8*l*v**2 - 3*l + v**4 - 18*v**3 - 4*v wrt v. -144*l*v + 24*v - 108 What is the derivative of -40*z**3 - 55*z**2 + 1905? -120*z**2 - 110*z What is the third derivative of 11393*a*h**3 + 65*a*h**2 - a*h - 6*h**2 wrt h? 68358*a Find the third derivative of -51*z**5 - 5*z**4 + 1134*z**2 wrt z. -3060*z**2 - 120*z Find the second derivative of -538*c**5 + 3*c**4 - 7*c + 1. -10760*c**3 + 36*c**2 Find the third derivative of -550*j**4 - 680*j**2 wrt j. -13200*j Differentiate 1590*k + 4014 with respect to k. 1590 What is the first derivative of -143*d**3 + d + 17? -429*d**2 + 1 Differentiate -6*q**4*w + 2*q**4 + q**3 - 2*w + 17 with respect to q. -24*q**3*w + 8*q**3 + 3*q**2 Find the second derivative of l**5*t - 623*l**4*t - 2*l**2*t + l + 8*t - 9 wrt l. 20*l**3*t - 7476*l**2*t - 4*t What is the second derivative of -u*z**5 + 127*u*z**3 + 6*u*z + u + 2*z**5 + 6*z wrt z? -20*u*z**3 + 762*u*z + 40*z**3 Differentiate -119*d*g**2 + 3*d*g + 704*g**2 + 2 wrt d. -119*g**2 + 3*g Differentiate -375*n*x**2 + 4*x**2 - 69*x - 1 with respect to n. -375*x**2 What is the first derivative of d**3*k**2 + 42*d**3 + 57*d*k**3 - 2*k**3 + 5 wrt k? 2*d**3*k + 171*d*k**2 - 6*k**2 What is the third derivative of -1700*j**4 - 5626*j**2 wrt j? -40800*j Differenti
{ "pile_set_name": "DM Mathematics" }
2/9 (b) -12/7 (c) 339/2 a What is the nearest to 33 in -0.3, -168, -0.1, 1, -1? 1 Which is the nearest to 60? (a) -6 (b) 1.2 (c) -3 b What is the nearest to -2/7 in -3, -1, -0.086, -4? -0.086 Which is the nearest to -0.054? (a) -1/5 (b) -0.5 (c) 327 a Which is the closest to -1/3? (a) 2/11 (b) -5/2 (c) -327 (d) 2 a Which is the closest to -1? (a) -3 (b) -370.5 (c) -1/9 (d) -2 c Which is the closest to -1/6? (a) 1.71 (b) 7 (c) 5 (d) -2/19 d Which is the closest to 1? (a) -1/8 (b) -4 (c) -2964 a What is the nearest to -1/5 in 0.06, -5, -1, 3/95, -0.3? -0.3 Which is the nearest to -1? (a) 5 (b) 4 (c) 6 (d) -10 b Which is the nearest to 0.1? (a) 4 (b) 1/2 (c) 1/4 (d) -0.32212 (e) -3/4 c Which is the closest to 0.1? (a) -0.12 (b) -2 (c) -8842 a What is the nearest to -17 in -608, 0, -0.5, 3/5, 0.1? -0.5 Which is the nearest to 1/2? (a) -1 (b) -8/13 (c) -17 (d) 5/3 (e) -2 b Which is the nearest to 2/7? (a) 46 (b) -5 (c) 2 (d) 2.67 c What is the closest to -2 in 1/3, 7677, -2/7, 0.5? -2/7 Which is the nearest to -1? (a) 0 (b) 3 (c) 4 (d) 14/11 a Which is the closest to 14/41? (a) -12 (b) 1/7 (c) -2/21 b What is the nearest to 37 in -2, 137, 5, 3? 5 Which is the nearest to 0.3? (a) 3 (b) 2886 (c) 0 c Which is the nearest to 0? (a) 24.18 (b) 1/4 (c) -2 (d) 4/3 b What is the closest to 47 in -0.5, 4/7, 108, 0.3, 0? 4/7 Which is the closest to 0.2? (a) -0.3 (b) -88 (c) -8 (d) -0.4 a Which is the nearest to -2/7? (a) 5 (b) -8 (c) 3 (d) 0.05 (e) -16/9 d What is the nearest to -1 in 4, -1, -0.25? -1 What is the closest to 0 in 3.6, -3, -2/83? -2/83 What is the closest to 2 in 2/7, 942, 1/7, -4? 2/7 What is the nearest to -2 in 0.4, 1, -1.3, 0.5, 2/273? -1.3 What is the closest to -13 in 0.1, 3, -0.039? -0.039 What is the nearest to -48 in 2, 16/13, 0.3? 0.3 What is the nearest to -2/3 in 17, 0.8, 0.28, -4? 0.28 What is the closest to 2 in -2, -0.12, -11? -0.12 Which is the closest to -2/5? (a) 0.2 (b) 0.4 (c) 1/629 c What is the nearest to 357 in 2/11, 4/7, 3, -2? 3 Which is the nearest to 1? (a) 3 (b) -4 (c) 952 (d) 4 a Which is the nearest to -2/3? (a) 9 (b) -2 (c) 2/11 (d) 34 c Which is the nearest to -2/479? (a) 0.5 (b) 3/4 (c) 5/4 (d) -3 (e) 14/9 a What is the closest to -2 in 4, 530, 2/11? 2/11 Which is the nearest to -0.1? (a) -4 (b) -7 (c) 10/17 (d) -1/27 d Which is the nearest to -0.1? (a) -4 (b) -2 (c) 3 (d) 0.025946 d What is the closest to 0.09 in -5, -2.1, 12? -2.1 What is the closest to -50/7 in -3/4, -9.9, 0.2, 2/7? -9.9 Which is the closest to -390? (a) -5 (b) -0.6 (c) 0.2 (d) -2/7 a Which is the nearest to -0.02? (a) 75 (b) 3 (c) -4 (d) -90 b What is the nearest to -2/5 in -3, 0.3, 201, 12? 0.3 What is the closest to 1/6 in 2/13, -4/605, 2, -1/8? 2/13 What is the nearest to -2.6 in 0.5, -1/3, -166/7? -1/3 Which is the closest to 2/5? (a) 8/7 (b) 9 (c) -6 (d) -1/2 (e) -3/8 a Which is the nearest to 0.127? (a) 8 (b) -0.1 (c) 80 (d) 2/5 (e) -1/3 b What is the nearest to -1/7 in 4/7, 2.1, 1, -0.041? -0.041 What is the nearest to 1 in 1/9, -7, -1/29, -1/5? 1/9 Which is the closest to -1/4? (a) -505 (b) 5/4 (c) 2/21 c What is the nearest to -32 in -4, 66, 9, 0.2? -4 What is the nearest to 11 in -0.1092, -0.05, -4? -0.05 Which is the nearest to 2/9? (a) 2111/7 (b) 0 (c) 2 b What is the nearest to 1/3 in 4/9, 30, 1/4, 0.29? 0.29 Which is the nearest to -3? (a) -5 (b) -0.1 (c) -1/2 (d) -2 (e) -99 d What is the closest to -0.3 in 0.1, -20, -0.5, -2? -0.5 What is the nearest to 1/5 in 3/5, 4, 22? 3/5 Which is the nearest to 0.05? (a) -0.3 (b) -0.5 (c) 2/11 c Which is the nearest to -1? (a) -0.2 (b) -0.1 (c) -150 a Which is the nearest to -102? (a) 7 (b) -2 (c) 0.2 (d) 2 b What is the nearest to -16 in 0.2, -2, 0.1, -0.8, -79? -2 What is the closest to -0.0412 in 4, -1/28, 2/17? -1/28 What is the closest to 0.027 in 0.07, -0.2, 55, -0.3, 0.5? 0.07 What is the closest to -0.5 in -2/7, -5, -41, 6/49? -2/7 Which is the nearest to -2/25? (a) -29 (b) 1/3 (c) -3/13 c Which is the closest to 0? (a) -3 (b) -0.1 (c) -15 (d) -12.7 (e) -0.3 b Which is the closest to -3.9? (a) -26/9 (b) -0.4 (c) 1/2 (d) 4 a Which is the closest to 2/3? (a) 0.17 (b) -2/63 (c) -1/2 a Which is the nearest to 1/2? (a) 0.3 (b) -198 (c) -21 (d) -6 a What is the nearest to -0.6 in -0.5, -23, 3, 1/4, -2/7? -0.5 Which is the nearest to 29.93? (a) 1/9 (b) 7 (c) 0.4 b Which is the closest to -1? (a) -8 (b) 8/29 (c) -1 (d) 0.4 c What is the closest to 0.4 in -0.1, 1726, 2? -0.1 What is the nearest to 0 in -1, 19, -120? -1 What is the nearest to 25 in -6.4, 0, -5/6? 0 What is the nearest to 2/3 in 2/357, 1, -135, -3? 1 Which is the nearest to -1? (a) -567 (b) -0.5 (c) 5 (d) 5/14 (e) -2 b What is the nearest to -10 in -24, -3, 15/4, 5? -3 What is the nearest to 0.02 in 1.9, 1, -2.8, -2? 1 Which is the closest to -2/15? (a) 9.5 (b) 8/7 (c) 0 (d) -1 c Which is the closest to -1? (a) 1/82 (b) -0.2 (c) 0.2 (d) 3/11 (e) 2/7 b Which is the nearest to 5? (a) 0.5 (b) -4 (c) -20/3 a What is the closest to -2 in -69.6, 1/5, -15, 1? 1/5 Which is the nearest to -1? (a) 5/3 (b) 1 (c) 0.1 (d) -0.101 d Which is the closest to -1/2? (a) -25/3 (b) -4/141 (c) 2/9 b Which is the nearest to 63.3? (a) 2/17 (b) -2/15 (c) -0.5 a What is the closest to 0.1 in 1, -46/5, -338, 0.1? 0.1 Which is the closest to -1/3? (a) 5 (b) 0.1 (c) 0.3 (d) 90 (e) 4 b Which is the nearest to 0? (a) 7 (b) -37/2 (c) 6 c Which is the closest to 3? (a) -2 (b) -2/11 (c) -5 (d) -194 (e) 4/7 e Which is the nearest to 0.45? (a) 4 (b) 1 (c) 0 (d) 1/7 (e) -0.2 d Which is the nearest to 1301112? (a) -0.5 (b) -0.2 (c) 0.1 c What is the nearest to -2 in 563, 0.1, 0.5? 0.1 Which is the closest to -2/237? (a) 3 (b) -1/3 (c) -7 b What is the nearest to 47 in -0.3, 1/8, 33? 33 What is the nearest to -4/7 in 4, 6477, 0? 0 What is the nearest to -3 in -3/26, 67, -3? -3 What is the closest to 2 in -0.3, 35/4, 1, -1, -1/3? 1 Which is the closest to -3613/261? (a) 5 (b) 0.1 (c) -2/15 c Which is the closest to 3/13? (a) 0.27 (b) -6 (c) 2.4 a What is the closest to -0.1 in -698, 0.4, -2, -0.2? -0.2 Which is the closest to -2? (a) -3 (b) -797 (c) -2/9 (d) 0.05 (e) 1/3 a What is the closest to -5 in 4, -0.3, 0.2, -4/15? -0.3 What is the closest to -8/13 in -5, -4.8, -0.5, -3/7? -0.5 Which is the nearest to -1/6? (a) 1189 (b) 2 (c) -3 (d) 1 d What is the closest to -0.4 in 2.3, 0.5, -7.4, -1/2? -1/2 Which is the nearest to -2? (a) 1/3 (b) 0.5 (c) -104/27 (d) 1 c What is the closest to -3194 in -3, -4, -3/5? -4 Which is the closest to 1? (a) 5 (b) 0.27 (c) -3/5 (d) -10 (e) -6/5 b Which is the closest to 2? (a) -130 (b) -7/6 (c) 0 (d) -59 (e) -3 c What is the nearest to -3 in 446334, 2/9, -1/10? -1/10 Which is the nearest to -10/13? (a) 0.5 (b) 0 (c) 0.095 (d) 4 b Which is the nearest to 0.1? (a) -0.4 (b) -2 (c) -13 (d) 388 a Which is the closest to -1464? (a) -2/149 (b) -4 (c) -3/5 (d) 2/5 b What is the nearest to 2 in 0.5, 0.2, 117/4, 7? 0.5 Which is the closest to -3? (a) 2974 (b) 0.1 (c) 20 b Which is the closest to -1.16? (a) 13 (b) 2/11 (c) -5 (d) 2/3 (e) 3 b What is the nearest to -1 in -36, -0.02, 198, 2? -0.02 Which is the closest to 899? (a) 2 (b) -3 (c) -2/3 (d) -4 (e) 5 e What is the nearest to -422 in -0.4, 2/3, 0.3? -0.4 What is the closest to -3 in 0.6, 9/2, -122? 0.6 What is the nearest to -39750 in 3, 2/5, -5/7? -5/7 Which is the nearest to -1/15? (a) -58 (b) -1 (c) 5 b What is the closest to 1 in 2, -96.6, -0.13? 2 What is the closest to 45 in -3/7, -2/17, -0.06, 2/7, -2/15? 2/7 Which is the closest to -1? (a) 939 (b) -2/3 (c) -1 (d) -2 c What is the nearest to 0.3 in -3/2, 5, 3/7, -22? 3/7 What is the nearest to -3/4 in -3/4, 3, -69, -0.5, 1? -3/4 Which is the closest to -0.098? (a) 3/20 (b) 0.07 (c) 0 c What is the nearest to -1 in 0.5, -6, 5, -0.3892, -0.4? -0.4 Which is the closest to -1/2? (a) 1/328 (b) -12 (c) 17 a What is the nearest to 1 in -1, 3218, -24? -1 Which is the closest to 1? (a) 1/2 (b) 5/2 (c) 0.25 (d) 1.2 d Which is the nearest to 2? (a) -3 (b) -2
{ "pile_set_name": "DM Mathematics" }
: s or p? p Suppose 4*q + j + 1 = 0, -6 - 9 = -5*j. Let a = -3547 + 3554. Which is smaller: q or a? q Let o = 698543/322 - 4339/2. Let s = o + -1546/161. Which is bigger: s or -10? s Let a be (-10)/(-6)*(-4)/((-4)/(-9)). Let s(t) = -15*t**3 - 2*t**2 + 1. Let u be s(1). Is u greater than a? False Let v(a) = -a**2 - 15*a + 21. Let f be v(-17). Let d = -24 - f. Is d greater than -8? False Let p = 16 + -32. Let m(g) = g**3 + 24*g**2 + 15*g + 359. Let w be m(-24). Which is bigger: p or w? w Suppose g - 180 = -5*a, -45*g - 2*a = -40*g - 831. Is g < 165? False Suppose 0 = -5*f + b - 50 + 6, -3*b = -f - 6. Let a be (-6)/f + 2/(-3). Suppose v - 3*v + 2*c = 22, a = -3*c. Is v at most -11? True Suppose -3*c - 2*c - 363 = 4*g, -g + 3 = 0. Which is bigger: -77 or c? c Let p be 44/52 + -1 + (-608)/104. Suppose -t + 4 = -0*t + 3*l, 0 = 4*l - 12. Which is smaller: p or t? p Suppose -y - 26 = -v + 31, -4*y = 3*v + 249. Is y smaller than -60? False Suppose -2*a - 6 = x - 4, x = -3*a - 4. Let h be 1 + 1 + -2 + 3. Let n = -7 + h. Is n greater than or equal to a? False Let b = -10 + 14. Suppose 5*c = -5*k + 4 + 11, -2*k = b. Let r = 5 + -1. Is c <= r? False Let n be 2/(-8) - (-100)/16. Let h = -23 + 20.4. Let t = h - -3.6. Which is greater: n or t? n Let d be 4/(-9) - (-180)/162. Let q = -0.07 - -0.21. Let r = q + 5.86. Is r at least as big as d? True Let y = 0.6 + 28.4. Which is smaller: -1 or y? -1 Suppose 0 = -13*h - 1818 - 587. Which is bigger: h or -186? h Let y(v) = v**3 + 33*v**2 + 63*v - 11. Let r be y(-31). Which is bigger: -36 or r? -36 Suppose 4*w - 7 = q, 5*w + 21 = -q - 2*q. Let b(v) = v**2 + 11*v + 10. Let n be b(q). Are -19 and n equal? False Let a = 46 + -41. Let r = a - 35. Is 0 >= r? True Let v = 8309348/497 + -16719. Is v at least -1? True Let f = -31 - -32. Let q be f*9/(-78)*(3 - -1). Let o be (-4)/10 + (-6)/10. Does q = o? False Let s(m) = m**2 + 3*m - 27. Let z be s(-7). Let f(y) = 2*y**3 - 2*y**2 - y + 1. Let x be f(2). Let b be (z - 1) + (4 - x). Is -3 < b? False Let r = -0.61 - 24.39. Let i = r + 23.9. Let z = -0.1 - i. Is -1 != z? True Let m = -0.353 - -0.353. Let g be (6 + 0)*(-1)/(-3). Suppose 4*s + 4*o = 56, g*o + 26 = -4*s + 80. Is s at least as big as m? True Suppose -90*l = -95*l. Is l != 1/110? True Let m = -2653/4 + 664. Which is bigger: m or -3? m Suppose 2*b + 38 = -x, 21 = -2*b - 5*x - 17. Let v = b + 20. Which is bigger: v or 1/17? v Let g = -938 - -930. Which is greater: g or -67? g Let z = 6 + -3. Let d = -12 + z. Let x(a) = 2*a**2 + 21*a + 32. Let o be x(-8). Are d and o non-equal? True Let b = 0 - 1. Suppose -33*o - 187 = 44. Which is greater: b or o? b Let i = 2130.2 + -2130. Is i less than -12/17? False Let v = -252.5 - -252.53. Is 13/2 less than or equal to v? False Let f be (-68)/(-85) - (-304)/(-105). Is f at least -2? False Suppose 3*g + 4*k = -23, 3*k = -g - 14 - 2. Let y be (-22)/21 + (3 - (-17 - -19)). Which is smaller: g or y? g Let g be (-252)/(-56) + 129/(-28). Is 0.1 smaller than g? False Let s be (-2)/9 + (-38)/(-9). Let j = 119 - 181. Let z = 65 + j. Is z less than or equal to s? True Let k be -3*4*(-72)/(-16). Which is smaller: -3 or k? k Let g = 529 + -673. Is g greater than or equal to -144? True Let j = 22.9 - 21.9. Is -92 bigger than j? False Let c be 249/12 + (-1)/(-4). Suppose 30*f - 33*f - 11 = 2*r, 0 = 3*f + 9*r + 60. Do f and c have different values? True Let y = 97/14 + -38/7. Let p(s) = 6*s - 1. Let v be p(1). Suppose 0 = -5*t - i + 7, -3*t - v*i = 1 + 8. Do t and y have different values? True Let u = 0.3 - 0.26. Let v(o) = -o**3 - 5*o**2 + 4*o - 7. Let a be v(-6). Suppose 2 = 3*m + a*j, -m + 0*j - j = 0. Which is smaller: m or u? m Suppose o - 118 = -4*d - 319, 5*o - 4*d = -981. Is -196 at most as big as o? False Let g = -4 - -2. Let x = -30 - -36. Suppose -x = -o - o. Which is greater: g or o? o Let h(z) = 2*z - 8. Let m be h(9). Let k be -2 + -1 + 1 - -1. Let n be (-270)/(-24) + k/4. Which is smaller: n or m? m Suppose 4*c + 460 = 2*h, -14*c - 345 = -11*c - 3*h. Is -344/3 at most as big as c? False Suppose 1 = -p, -s + 11 - 3 = -5*p. Let l = -67 - -66. Is s >= l? True Let b = -240 + 233. Which is smaller: -49/6 or b? -49/6 Let c = 0.62 - -28.38. Let s = -15 + c. Let a = s + -13.9. Which is greater: -1/3 or a? a Suppose 14 = 5*f - 2*u, -2*u + 7 = 1. Suppose -4*j - f*d - 1778 = -6426, 3*d = -2*j + 2322. Let g = 10462/9 - j. Which is greater: -3 or g? g Suppose 72*f = 62*f - 2250. Which is greater: f or -222? -222 Let j = 15.8 + 4.1. Let k = 22 - j. Which is smaller: 0 or k? 0 Let k = -18050 + 16010352/887. Which is smaller: 0 or k? 0 Suppose -y = 3 - 1. Let i be (2/6)/(y/4). Let m = -11049.03 - -11049. Which is smaller: i or m? i Let o be -3*2 + 605/154. Are -1 and o equal? False Let v = 482 + -588. Which is smaller: -108 or v? -108 Let w be (-1080)/(-2800) - 2*1/7. Suppose 2*g = -2 - 2. Let v be -2*g/(-12)*-3. Is w greater than v? False Let r(j) = 5*j + 6. Let i(v) = 5*v + 7. Let a(q) = -4*i(q) + 5*r(q). Let z be a(-2). Is z equal to -8? True Let p be (-2)/8*((-132)/10 - -8). Which is smaller: p or 1? 1 Let c = 1.7532 + 0.2468. Let i = 3 - 2. Is c less than or equal to i? False Let y = 13 + -10. Suppose 2 = -i + y*p - 3, -2*p - 8 = 5*i. Which is bigger: -18/7 or i? i Let m = -1 - 0. Let s(b) = -4*b**3 + b**2 - 21*b - 10. Let h(y) = -5*y**3 + y**2 - 21*y - 11. Let v(i) = -5*h(i) + 6*s(i). Let t be v(-5). Is t < m? False Suppose 120*j = 456 + 24. Which is bigger: -183 or j? j Let r be 4968/(-720) + (-2)/20. Is -31 > r? False Let x(h) = 193*h - 382. Let p be x(2). Are 156/29 and p equal? False Suppose 1316 = 6*f + 416. Let a be ((72/f)/(-4))/((-2)/10). Which is smaller: a or 0? 0 Suppose a - 4*n + 5 = 2*a, -15 = -3*a + 4*n. Suppose 0 = -a*w + 20 - 5, -3*w + 13 = -2*x. Is 51 greater than x? True Let p be (80376/190)/(9/(-20) - 0). Let h = 940 + p. Which is smaller: h or -0.1? -0.1 Let p = -0.28 + -2.82. Let s = -3 - p. Let j = -154 - -156. Which is bigger: j or s? j Let p(x) = x**3 + 7*x**2 + 9*x + 13. Let z be p(-6). Let c(n) = n**3 + 6*n**2 + 4*n. Let h be c(z). Is h less than or equal to 5? True Let g be (13/(-9))/(29/(-87)). Are 3 and g nonequal? True Let z = -149 - -86. Let a = z + 190/3. Do a and -2 have the same value? False Let y = 0 - -8. Let r(l) be the third derivative of l**4/24 - l**3/6 + l**2. Let m be r(y). Do 7 and m have the same value? True Let h be 5 - (-21 + -2)*2/(-10). Which is bigger: 0.151 or h? h Suppose q + 2 = -z - 2, 5*z - 20 = 5*q. Let a(m) = 0 + 2*m + m**2 - 3 + 0*m**2 + 1. Let i be a(q). Is 0.2 bigger than i? False Let c = 482618 + -8208502/17. Let b = -235 - c. Which is smaller: 0 or b? 0 Suppose -3*u + 27 = -f - 18, -53 = f + u. Let g be 4 - (f/9*-3 - 3). Is g at least as big as -8? False Suppose -5*a + 24 = o + 5, -5*a = 5*o - 95. Suppose 0 = -5*r + 6*r - 2. Suppose 4 = r*v, 0*n - v = -n - o. Which is smaller: n or -18? -18 Let w be (-2)/(-6) + (-76)/(-6). Suppose w*f - 8*f + 85 = 0. Is -17 < f? False Let q be (-272)/40 + 11 - 2/10. Which is smaller: q or 26/7? 26/7 Let l(f) = 9*f**2 - 8*f + 2. Let t be l(3). Let s = t + -28. Let i(v) = 6*v - 4. Let y be i(6). Is y at least as big as s? True Let g(h) = -h**2 + 7*h + 7. Suppose a = -4*z - 1, -2*a - 1 + 5 = 5*z. Let m be g(a). Let c be (2 + (-35)/10)*(-16)/3. Which is greater: m or c? c Let u = -126.5 + 80. Let o = u - -46. Which is smaller: 1 or o? o Let m(a) = a**3 - 13*a**2 + 12*a + 16. Let r = -2 - -14. Let q be m(r). Is 16 at most as big as q? True Suppose 2 = -2*u - 4*s, 10*u - s = 5*u + 28. Let b be (u/10)/(20/24). Let w be 1 + 2 + (0 - 2). Is w at least b? True Let f be (38/(-19))/((-2)/37). Which is bigger: 38 or f? 38 Suppose 640 = 4*b + d - 5*d, 0 = 3*b - 4*d - 483. Is b at least as big as 156? True Let y be 1*6/(-27) - (-4)/(-9). Let v(d) = -3*d - 2. Let n be v(-2). Let b = 2 - n. Is b at least y? False Let c be 66/14 + 6/21. Suppose -5 = 3*n - 2*h - 24, -3*n + 3*h + 24 = 0. Is c at most n? False Let s = -1290 + 1383. Are 89 and s equal? False Let j(u) = -4*u - 6. Let a be j(-5). Let b(m) = -m**3 + 14*m**2 + m - 1. Let q be b(a). Which is bigger: q or 15? 15 Let f = -6569/9 + 729. Is f less than -0.07? True Let j be ((-6)/4)/(9/18). Let h be j + 0 + 76/12. Is 3 < h? True Let w be (-699)/114 + (-18 -
{ "pile_set_name": "DM Mathematics" }
he terms in -4*x**3 + 6*x**2 + 21*x**3 + 0*x**2. 17*x**3 + 6*x**2 Collect the terms in 38*b**3 - 300*b**3 - 40*b**3. -302*b**3 Collect the terms in -191*l - 203*l - 596*l. -990*l Collect the terms in -112*k + 213*k + 209*k. 310*k Collect the terms in 7 - 9 - 3 + 7*v. 7*v - 5 Collect the terms in -81*m**3 + 24*m**2 - 9*m**3 - 26*m**2. -90*m**3 - 2*m**2 Collect the terms in 17*x**2 - 162 - 156 + 318. 17*x**2 Collect the terms in 30*b**2 + 12*b**2 - 53*b**2 + 23*b**2 + 14*b**2. 26*b**2 Collect the terms in 8*f**2 + 628 - 628. 8*f**2 Collect the terms in -41*s**2 + 79*s**2 - 39*s**2. -s**2 Collect the terms in -21*n**2 + 0 + 0 + 18*n**2. -3*n**2 Collect the terms in 1 - 40*k - 3 + 2. -40*k Collect the terms in -19 + 14 - 132*f + 5 + 131*f. -f Collect the terms in -6*j**2 + 11*j**2 + 0*j**2 - 6*j**2. -j**2 Collect the terms in 30*n - 4*n**2 - n**2 - 30*n. -5*n**2 Collect the terms in 7 - 89*g**2 - 7. -89*g**2 Collect the terms in 1 - 21 + 10*x + 20. 10*x Collect the terms in 59*a - 45*a + 71*a. 85*a Collect the terms in 209*z - 5*z**3 - 209*z. -5*z**3 Collect the terms in 68*d - 176 - 67*d + 176. d Collect the terms in 83*h - 22*h + 9*h. 70*h Collect the terms in 19*p**2 - 4*p**2 - 4*p**2. 11*p**2 Collect the terms in -2*y - 3543 + 3543 - 3*y. -5*y Collect the terms in 10004 - 15*r - 10004. -15*r Collect the terms in -18*s**3 - 27*s**3 + 285*s**3. 240*s**3 Collect the terms in 105 + 20*k**2 - 105. 20*k**2 Collect the terms in -10*r**2 + 5*r**2 + 2 - 2. -5*r**2 Collect the terms in 8*a + 5*a - 11*a + 5*a**2. 5*a**2 + 2*a Collect the terms in -408*t + 1209*t - 400*t - 398*t. 3*t Collect the terms in t + 2993 - 2993. t Collect the terms in -155*k + 101*k**3 + 155*k. 101*k**3 Collect the terms in 909*c - 909*c + 2*c**2 + 2. 2*c**2 + 2 Collect the terms in -6*a + 2*a - 355 + 358. -4*a + 3 Collect the terms in -129*d**3 + 149*d**3 + 3*d - 3*d. 20*d**3 Collect the terms in -72*i - 62*i + 2*i**3 + 134*i. 2*i**3 Collect the terms in 32*c**2 - 3*c**3 + 10*c**3 - 8*c**3. -c**3 + 32*c**2 Collect the terms in 15*c**2 - 25*c**2 - 8*c**2. -18*c**2 Collect the terms in 3*k - 687 + 687. 3*k Collect the terms in -27*x**2 - 26*x**2 + 108*x**2 - 25*x**2 - 29*x**2. x**2 Collect the terms in -q**3 - 8*q**2 + 8*q**2. -q**3 Collect the terms in -32107 + 32107 - 5*h**3. -5*h**3 Collect the terms in 0 - 1 - 27*k**3 + 1. -27*k**3 Collect the terms in -2 + 22*p**3 + 5 - 3. 22*p**3 Collect the terms in 12*u**3 - 7*u**3 - 21*u**3. -16*u**3 Collect the terms in -94*q**2 + 45*q**2 + 48*q**2. -q**2 Collect the terms in -2*u**2 - u**2 - 6*u**2. -9*u**2 Collect the terms in -27*v + 3*v + 69*v - 27*v. 18*v Collect the terms in 8*i + 4*i - 12*i + 27*i**2. 27*i**2 Collect the terms in -29*w + 205*w - 174*w. 2*w Collect the terms in 7*i + i - 14*i + 4*i. -2*i Collect the terms in -3*k**2 + 164*k - 164*k - 2*k**2. -5*k**2 Collect the terms in 12*r + 333*r**3 - r**3 - 12*r. 332*r**3 Collect the terms in -5551*l**3 + 2 + 5550*l**3 - 2. -l**3 Collect the terms in 8*w - 185 + 185. 8*w Collect the terms in 2035*d**2 - 2041*d**2 - d + d. -6*d**2 Collect the terms in m**2 - 4*m**2 - 168 + m**2. -2*m**2 - 168 Collect the terms in -9*t**2 - 8*t**2 - 34*t**2. -51*t**2 Collect the terms in 2*u**3 + 1221*u**2 - 1221*u**2. 2*u**3 Collect the terms in 0*a**3 - 2*a**3 - 5*a**3. -7*a**3 Collect the terms in 0*d - 3*d + d. -2*d Collect the terms in 4*i + 7*i - 96 + 96. 11*i Collect the terms in 16 - 16*b + 18*b + 8 + 1. 2*b + 25 Collect the terms in -3*h**3 + 0*h**3 + 5*h**3 - 6*h**3. -4*h**3 Collect the terms in 14 + 2*y + 2*y - 14. 4*y Collect the terms in 3*u**2 - 2*u**2 - 11*u**2. -10*u**2 Collect the terms in 68*w - 4 + 0 + 4. 68*w Collect the terms in -10*g + 6*g + 6*g + 31*g**2. 31*g**2 + 2*g Collect the terms in 10*l + 9*l - 5*l - 12*l - 5*l. -3*l Collect the terms in -12*s**2 - 10*s**2 - 20*s**2. -42*s**2 Collect the terms in -205*s**2 - 326*s**2 - 82*s**2 - 173*s**2. -786*s**2 Collect the terms in 3 - 3 + l + 0*l + 99*l**3. 99*l**3 + l Collect the terms in -11*q - 702 + 702. -11*q Collect the terms in 9*h + 10*h - 39*h + 9*h + 7*h. -4*h Collect the terms in 208*b**3 + 202*b**3 - 408*b**3. 2*b**3 Collect the terms in 5*r**2 - 6*r**2 - 8*r**2 + 5*r**2. -4*r**2 Collect the terms in 24*z + 16 - 3*z**3 - 72*z + 19*z + 29*z. -3*z**3 + 16 Collect the terms in 10 - 5 - 5 - j**3. -j**3 Collect the terms in 11 - 369*x + 365*x + 1. -4*x + 12 Collect the terms in 1 - 1 + 168*f**3. 168*f**3 Collect the terms in 2 + 6 + 0*a**2 - a**2 + 8. -a**2 + 16 Collect the terms in -20*d**2 + 158*d**2 + 21*d**2. 159*d**2 Collect the terms in -478*q + 1019*q - 542*q. -q Collect the terms in -102*i**2 - 7*i**3 + 102*i**2. -7*i**3 Collect the terms in r + r - 7*r + r + r. -3*r Collect the terms in 94*s + 13 - 8 - 5. 94*s Collect the terms in 38*a - 17*a - 18*a. 3*a Collect the terms in 85*p**2 + 19*p**2 - 16*p**2. 88*p**2 Collect the terms in 47*c - 61*c + 222*c. 208*c Collect the terms in -305*n**2 + 138*n**2 - 359*n**2 + 75*n**2. -451*n**2 Collect the terms in 617*c**2 + 618*c**2 + 615*c**2 - 1876*c**2. -26*c**2 Collect the terms in 0*v - 3*v + 4*v. v Collect the terms in 3 - 3*r - 3*r + 29*r**2 + 0*r. 29*r**2 - 6*r + 3 Collect the terms in -60 + 60 + 14*t**3. 14*t**3 Collect the terms in 9*v**3 - 10*v**3 + 13 - 13. -v**3 Collect the terms in -105 + 105 - 20*k**2. -20*k**2 Collect the terms in 181*u**2 + 176*u**2 - 535*u**2 + 181*u**2. 3*u**2 Collect the terms in -12*q - 66*q + 18*q. -60*q Collect the terms in g + 49 + 5*g - 49. 6*g Collect the terms in 18*j**3 + 67*j**3 - 22*j**3. 63*j**3 Collect the terms in 9*o - 6*o - 9*o + 5*o. -o Collect the terms in 127*p**2 - 17*p**2 + p**2 - p**3. -p**3 + 111*p**2 Collect the terms in -628*s**3 - 637*s**3 + 1263*s**3. -2*s**3 Collect the terms in -10*l - 13*l + 27*l - 10*l. -6*l Collect the terms in 31 + 0*a**2 + 42 + 2*a**2. 2*a**2 + 73 Collect the terms in 201*o**2 - 403*o**2 + 191*o**2 + 4*o - 4*o. -11*o**2 Collect the terms in -4*p**2 + 2*p**3 - 4*p**3 - 10*p**2. -2*p**3 - 14*p**2 Collect the terms in 370*y - 1122*y + 374*y + 379*y. y Collect the terms in 367*l + 372*l - 738*l. l Collect the terms in 5 - 10*p - 1 + 11*p + 0. p + 4 Collect the terms in -20*o - 9*o + 39*o. 10*o Collect the terms in 29*t + 19*t - 80*t + 30*t. -2*t Collect the terms in -2*x**2 - 2*x**2 - 2*x**2 + 4*x**2 + 8*x**2. 6*x**2 Collect the terms in -12580 + 8*h**3 + 12580. 8*h**3 Collect the terms in 4882804 + 2*m**2 - 4882804. 2*m**2 Collect the terms in -10740*u + 10740*u - 7*u**3. -7*u**3 Collect the terms in 11*a + 12*a + 7*a - 42*a + 14*a. 2*a Collect the terms in 33*p + 3 - 80*p + 33*p. -14*p + 3 Collect the terms in 3*p - 996 + 7*p + 996. 10*p Collect the terms in -10*f - 9*f - 12*f + 25*f. -6*f Collect the terms in 101 - g**2 - 3*g**2 - 101. -4*g**2 Collect the terms in -9 + 5 + 4 + 233*q**3. 233*q**3 Collect the terms in -16*i**2 - 9*i**2 + 126*i - 126*i. -25*i**2 Collect the terms in 9*b - 5 - 7*b + 5 + 6*b. 8*b Collect the terms in 217*h**2 + 218*h**2 + 218*h**2 - 652*h**2. h**2 Collect the terms in -34*l - 39*l + 72*l. -l Collect the terms in -w**3 + 38281*w - 38281*w. -w**3 Collect the terms in 52*f**3 + 8 - 8 + 2*f**2. 52*f**3 + 2*f**2 Collect the terms in 75*c**2 - 28*c**2 - 28*c**2 - 23*c**2. -4*c**2 Collect the terms in i - i + 4*i - 3*i + 18. i + 18 Collect the terms in 3927*v**2 - 3927*v**2 + 9*v**3. 9*v**3 Collect the terms in -59*v + 26*v**3 + 59*v. 26*v**3 Collect the terms in -g + 4*g - 3*g + 3*g - 2*g. g Collect the terms in 181*a**3 - 2 + 2. 181*a**3 Collect the terms in 3*w**2 + 0*w**2 - 6*w**2 + 4*w**2 - 34*w. w**2 - 34*w Collect the terms in 44*a**3 + 57*a**3 + 47*a**3 - 150*a**3. -2*a**3 Collect the terms in 5*r**2 - 64123*r + 64123*r - 3*r**2. 2*r**2 Collect the terms in -2 - 347*f**2 + 87*f**2 + 2. -260*f**2 Collect the terms in 207*q**2 - 413*q**2 + 206*q**2 + 27*q**3. 27*q**3 Collect the terms in -193 + 21*d**2 - 11*d**2 - 9*d**2 + 28. d**2 - 165 Collect the terms in 2 + 19*q + 2*q**2 - 19*q. 2*q**2 + 2 Collect the terms in 44*j**2 - 23*j**2 - 23*j**2. -2*j**2 Collect the terms in -19*p**3 - 29*p**3 + 8*p**3 + 8*p**3. -32*p**3 Collect the terms in 7*j**2 - 4*j + 4*j. 7*j**2 Collect the terms in -94*g**2 + 3 - 11 + 7. -94*g**2 - 1 Collect the terms in -230*j + 230*j
{ "pile_set_name": "DM Mathematics" }
rder. 5, 1, -6, -16 Sort -3, 61, 19, -4 in decreasing order. 61, 19, -3, -4 Put 1, -34, -5, 4 in increasing order. -34, -5, 1, 4 Put -375, 3, -1/7 in decreasing order. 3, -1/7, -375 Put 103, -2, 2, 3, -1 in descending order. 103, 3, 2, -1, -2 Sort -2, 0.1, -0.065 in decreasing order. 0.1, -0.065, -2 Put -10, -14, -2, -4 in increasing order. -14, -10, -4, -2 Sort -2/27, 4/7, -10/7 in ascending order. -10/7, -2/27, 4/7 Sort -5, 5, 1173, 0.5 in descending order. 1173, 5, 0.5, -5 Sort -1, -0.6, -4, 6/5 in ascending order. -4, -1, -0.6, 6/5 Sort -1, 3, 1, -3. -3, -1, 1, 3 Put -0.5, 3/7, -1/20, -6 in decreasing order. 3/7, -1/20, -0.5, -6 Put -3/7, -126, 4, 2/13 in descending order. 4, 2/13, -3/7, -126 Put 0.31, -5, 1/2, -0.3, 1/4 in ascending order. -5, -0.3, 1/4, 0.31, 1/2 Sort -3, 2/93, -0.6 in ascending order. -3, -0.6, 2/93 Sort -5, 0, 3, -1. -5, -1, 0, 3 Put 1.76, -6, -0.07 in ascending order. -6, -0.07, 1.76 Put -62, 5, -1 in ascending order. -62, -1, 5 Sort 2, -1, -60, -4 in decreasing order. 2, -1, -4, -60 Put 3/7, 1/4, 2, -2/13, -1/2 in descending order. 2, 3/7, 1/4, -2/13, -1/2 Put -0.4, -1/21, 0.02 in ascending order. -0.4, -1/21, 0.02 Sort -5, -1/7, 1/7, 3, -0.02055 in decreasing order. 3, 1/7, -0.02055, -1/7, -5 Put 6, 2, 23 in ascending order. 2, 6, 23 Sort -0.2, 6, 0.07. -0.2, 0.07, 6 Sort -1, -151, -8 in increasing order. -151, -8, -1 Put 0.1, -5, 5, 1/7, -9/5 in ascending order. -5, -9/5, 0.1, 1/7, 5 Put 0, -9, -2, -4 in increasing order. -9, -4, -2, 0 Sort -0.8, -0.2, 3/14 in increasing order. -0.8, -0.2, 3/14 Put 5, 0, 3, 2, -2 in ascending order. -2, 0, 2, 3, 5 Sort -0.4, -7528, -4. -7528, -4, -0.4 Sort -53, -5, 0.2 in ascending order. -53, -5, 0.2 Sort 168, 0, 1/8 in descending order. 168, 1/8, 0 Sort 0, -259, -4, -1 in ascending order. -259, -4, -1, 0 Sort 3, 630, 5 in descending order. 630, 5, 3 Sort -2, 0.03, 0.16. -2, 0.03, 0.16 Sort -1, 0, 4, -4 in descending order. 4, 0, -1, -4 Put -5, -0.09, -6, 6/5, -1 in descending order. 6/5, -0.09, -1, -5, -6 Put 1/7, -0.3, -5, 24 in ascending order. -5, -0.3, 1/7, 24 Put 12, 3, 5, -190, -1 in decreasing order. 12, 5, 3, -1, -190 Sort -1, 1, -4, -5, 90 in decreasing order. 90, 1, -1, -4, -5 Put -3, 223, 5, 1 in ascending order. -3, 1, 5, 223 Sort -4/5, 22, 11 in increasing order. -4/5, 11, 22 Put 2/297, -1, 3, -0.1, -0.2 in increasing order. -1, -0.2, -0.1, 2/297, 3 Sort 1/3, -1, -53 in decreasing order. 1/3, -1, -53 Sort 2, 57, 5. 2, 5, 57 Put 5, -570, -1, 0 in decreasing order. 5, 0, -1, -570 Sort -1/4, -0.098, 5, -0.5 in descending order. 5, -0.098, -1/4, -0.5 Sort -1, -9.15, -4 in descending order. -1, -4, -9.15 Sort 1/131, -2, -3. -3, -2, 1/131 Sort -1, 1566, 5, 4. -1, 4, 5, 1566 Sort -3, 4, 2, 1 in decreasing order. 4, 2, 1, -3 Sort -35, 0.4, 0.1, 1 in increasing order. -35, 0.1, 0.4, 1 Sort 4, -5, 4461 in ascending order. -5, 4, 4461 Put 6, 2, -5, -4 in ascending order. -5, -4, 2, 6 Put -8, -66, 5, 3, 1 in ascending order. -66, -8, 1, 3, 5 Sort 2/7, -4, -1/8 in decreasing order. 2/7, -1/8, -4 Sort 3, 1, 2, 0 in descending order. 3, 2, 1, 0 Sort 0, 5, -128, -6 in ascending order. -128, -6, 0, 5 Put -30, -3, 2/5, 2/3 in increasing order. -30, -3, 2/5, 2/3 Sort -2, 5, 4, -4, -11 in descending order. 5, 4, -2, -4, -11 Put -0.36, -0.3, 7, 4/7, 2 in increasing order. -0.36, -0.3, 4/7, 2, 7 Sort 14, -1, 5, -19. -19, -1, 5, 14 Put -21, -5, 2 in descending order. 2, -5, -21 Sort -381, -5, 4. -381, -5, 4 Sort -1/12, -25, 27. -25, -1/12, 27 Put -4, 3, 16, 4, 7 in increasing order. -4, 3, 4, 7, 16 Sort 2, -12, -1 in decreasing order. 2, -1, -12 Sort 6, -2, -131 in descending order. 6, -2, -131 Sort 0.3, -9, -2, 6. -9, -2, 0.3, 6 Sort -1/3, -4, 6, 1/4 in decreasing order. 6, 1/4, -1/3, -4 Put 359, 4, 0 in increasing order. 0, 4, 359 Put -1, 5, 13 in decreasing order. 13, 5, -1 Sort 15, 1, -14. -14, 1, 15 Put -0.3, 93, 0.2, 3, -0.4 in descending order. 93, 3, 0.2, -0.3, -0.4 Put -2, -2/9, 3, 207.2 in decreasing order. 207.2, 3, -2/9, -2 Put -1/2, 100, -3/4, -4/7 in increasing order. -3/4, -4/7, -1/2, 100 Sort 3, -175, 0, -9. -175, -9, 0, 3 Put -0.17, -2/7, 2/19 in ascending order. -2/7, -0.17, 2/19 Sort -3, -5, 81, 1 in descending order. 81, 1, -3, -5 Put 5, -4, 2/5, -0.4 in increasing order. -4, -0.4, 2/5, 5 Sort 0.07, 4, -1, 23 in descending order. 23, 4, 0.07, -1 Sort -5, 1, 3/5, 4/7 in ascending order. -5, 4/7, 3/5, 1 Sort 0.01, 6, -2, -0.5 in descending order. 6, 0.01, -0.5, -2 Sort 2, 0, 5, 84, -1 in decreasing order. 84, 5, 2, 0, -1 Put -5/6, 3, -0.1, 7/2 in ascending order. -5/6, -0.1, 3, 7/2 Put -3, -113, 60 in increasing order. -113, -3, 60 Sort -33, -5, 4, 0. -33, -5, 0, 4 Sort -0.14, -0.03, -3 in decreasing order. -0.03, -0.14, -3 Sort 4, -20, -2 in descending order. 4, -2, -20 Sort -5, 27, 2/71, 0.2. -5, 2/71, 0.2, 27 Sort -67, 0, -4, 51. -67, -4, 0, 51 Put -64, 3, -1, -2, -12 in decreasing order. 3, -1, -2, -12, -64 Put -59, 1, -3, -0.2, -0.5 in increasing order. -59, -3, -0.5, -0.2, 1 Sort -1/4, 0.07, 0.2 in descending order. 0.2, 0.07, -1/4 Put 5/31, 3, -3/26 in increasing order. -3/26, 5/31, 3 Sort 3, -5, 44 in decreasing order. 44, 3, -5 Put 1, -33, 5 in descending order. 5, 1, -33 Put 2/13, 0.2, 28/5, 1/2 in decreasing order. 28/5, 1/2, 0.2, 2/13 Put 5, 0, 19, 25, 2 in increasing order. 0, 2, 5, 19, 25 Put -3, -19, 1, -6 in increasing order. -19, -6, -3, 1 Put 2/21, 21, 0, -2 in descending order. 21, 2/21, 0, -2 Sort 12, 0, -5, -1. -5, -1, 0, 12 Put 2/9, 179/4, 2/3, 1, -1 in decreasing order. 179/4, 1, 2/3, 2/9, -1 Sort -57, -3, 0, -4. -57, -4, -3, 0 Sort -3/5, -1, 0 in ascending order. -1, -3/5, 0 Put -217, 0.06, -2 in increasing order. -217, -2, 0.06 Put -13/69, 2, 3/8, 3/5 in descending order. 2, 3/5, 3/8, -13/69 Put 5, 33, -4, 2, -13 in decreasing order. 33, 5, 2, -4, -13 Sort -4, 0, -5, 1. -5, -4, 0, 1 Put 1/7, -3/7, 52, 0.3 in descending order. 52, 0.3, 1/7, -3/7 Sort 4, 0, -5/2, -3, -2 in decreasing order. 4, 0, -2, -5/2, -3 Sort -5, -751, -3 in descending order. -3, -5, -751 Put 2, -1.03, 1/9 in decreasing order. 2, 1/9, -1.03 Put 1.3, 12, 0, 4 in decreasing order. 12, 4, 1.3, 0 Sort 2, -8, -25. -25, -8, 2 Sort 0, 2, 4, 1, -8. -8, 0, 1, 2, 4 Put 1, -4, 1/25 in decreasing order. 1, 1/25, -4 Put 0, 4, 1, -12 in ascending order. -12, 0, 1, 4 Put -748, 0, 1, -5 in increasing order. -748, -5, 0, 1 Put 0, -0.1, 2/105, 4, 5 in ascending order. -0.1, 0, 2/105, 4, 5 Put 5, 2/11, 3, 42/13, 0.1 in decreasing order. 5, 42/13, 3, 2/11, 0.1 Sort 16, 5, -4, -79 in decreasing order. 16, 5, -4, -79 Sort 0.06, 0.5, 243, -4 in decreasing order. 243, 0.5, 0.06, -4 Put -5, 5, 1, -19, 2 in decreasing order. 5, 2, 1, -5, -19 Sort 103, -4, 0 in increasing order. -4, 0, 103 Put -3, 279, -1 in decreasing order. 279, -1, -3 Put -2, -1, 58, -10, -4 in decreasing order. 58, -1, -2, -4, -10 Put 0.1, 0.9, -2, 0.03, -10 in descending order. 0.9, 0.1, 0.03, -2, -10 Put 1/26, -5, -4/7, 9 in descending order. 9, 1/26, -4/7, -5 Sort -0.2, -2, 0, -1, 0.05 in decreasing order. 0.05, 0, -0.2, -1, -2 Put -10, 9, 1 in descending order. 9, 1, -10 Sort -17, 6, -0.003 in descending order. 6, -0.003, -17 Sort -1444, -2, 1 in increasing order. -1444, -2, 1 Put 3, 1, -3, 8 in decreasing order. 8, 3, 1, -3 Put 0.4, 3, -0.5, -0.2, 0.3 in ascending order. -0.5, -0.2, 0.3, 0.4, 3 Sort 0.2, -0.8, 2/11, 4/7, -1 in ascending order. -1, -0.8, 2/11, 0.2, 4/7 Sort 4, 5/2, -1/2, -2194 in decreasing order. 4, 5/2, -1/2, -2194 Put -4, -5, -1, 0.5 in increasing order. -5, -4, -1, 0.5 Sort -2, 1, -3534. -3534, -2, 1 Put 1, 0, -8, 5, -3 in descending order. 5, 1, 0, -3, -8 Sort -3, -2, 9, -1 in decreasing order. 9, -1, -2, -3 Put -3, -10, 0, -4, 3 in increasing order. -10, -4, -3, 0, 3 Sort -3, 4, -5, 10, -1 in increasing order. -5, -3, -1, 4, 10 Put 0.4, -1/4, 6/25 in descending order. 0.4, 6/25, -1/4 Put -1.8, -1/6, 6.7, -3/2 in descending order. 6.7, -1/6, -3/2, -1.8 Sort 4, -42, -3, 1, -11. -42, -11, -3, 1, 4 Put 11, 0, 3/4, 1/7 in increasing order. 0, 1/7, 3/4, 11 Sort 2, -2/7, 321, -2 in increasing order. -2, -2/7, 2, 321 Sort 0.3, 2, 0.2, -1.44 in increasing order. -1.44, 0.2, 0.3, 2 Put -0.2, -33, 1/9, -3/4 in descending order. 1/9, -0.2, -3/4, -33 Put 0.1, -2/5, -1/3 in ascending order. -2/5, -1/3, 0.1 Put -1, 2
{ "pile_set_name": "DM Mathematics" }
Let j = -0.4 - -0.1. Sort f, j, 1/12 in increasing order. j, f, 1/12 Let t be 2/2 + (-31 - -25). Put t, 2, -11 in decreasing order. 2, t, -11 Let s = 27.37 - 15.37. Put 0.16, s, 0.1 in decreasing order. s, 0.16, 0.1 Let b be -175 + 179 + ((-62)/14 - -1). Put 2/11, 1, b in decreasing order. 1, b, 2/11 Let m = -1309 - -1308.91. Sort -0.1, m, -3/5, -6 in increasing order. -6, -3/5, -0.1, m Suppose 0 = 5*c + 3*i, -3*c = 2*c - 5*i. Sort -5, 2, c, 48. -5, c, 2, 48 Let m = 3 + -3.2. Let f = 3 + -3. Let w = f + 0. Sort w, m, -1 in decreasing order. w, m, -1 Let c(r) = -r**2 + 5*r + 4. Let p be c(6). Suppose 3*t + 2*f - 5 = 0, 2*f = -2*f + 16. Put p, t, 2 in ascending order. p, t, 2 Let q = -3.11 + 6.11. Sort q, 5, -5/6, 4/7. -5/6, 4/7, q, 5 Let u(v) = 2*v**2 - 54*v + 97. Let r be u(25). Sort 3, -2, r, -15 in increasing order. -15, r, -2, 3 Let z = 32 + -28. Suppose 0 = s - 1, z*m - 1 = 4*s + 3. Sort -2/5, -0.2, m, -5 in decreasing order. m, -0.2, -2/5, -5 Suppose 7*p - 92 = -113. Suppose 2*b + 4 = -2*b. Sort 5, b, -5, p. -5, p, b, 5 Let h be (-21 + 218/10)/((-2)/(-5)). Put 80, 0, 3, h in decreasing order. 80, 3, h, 0 Suppose -t + 0*t - 20 = 0. Let y be (t/30)/((-2)/21). Put y, 1, -3 in increasing order. -3, 1, y Suppose 2*o = 5*f - 35, 0 = -o + 2*o + 5. Put -2/7, f, 3, 3/8 in decreasing order. f, 3, 3/8, -2/7 Let y = -347 + 345. Put 1/5, 6, y, -2/13 in increasing order. y, -2/13, 1/5, 6 Let p = 37 + -36.68. Let d = -0.72 + p. Sort -5, 2/9, d. -5, d, 2/9 Suppose 0*b = -2*j - 2*b + 18, -3*b = -9. Suppose z + j = 11. Let n = -0.2 - -0.3. Put -0.3, n, z in increasing order. -0.3, n, z Suppose s + 5 = 3*i, -7 - 7 = 2*i - 5*s. Put -1, i, -3, -5 in ascending order. -5, -3, -1, i Suppose 12*b + 81 = 57. Put b, 9, -3, -1 in decreasing order. 9, -1, b, -3 Let z = -898 + 937. Sort -8, 2, z. -8, 2, z Let p = 73.79 + -3.39. Let t = -72 + p. Put t, -1, 1/3 in decreasing order. 1/3, -1, t Let d be 4 + -6 - (-2 + 5). Suppose 4*t - 56 = -0*t. Let m = t + -11. Put m, -1, d in decreasing order. m, -1, d Suppose 89 + 591 = -20*a. Sort a, -2, -5. a, -5, -2 Let l(u) = 3*u - 6. Let m be l(3). Let n(g) = -g**2 + 4*g - 7. Let h be n(m). Suppose a + 2*p = 7, -5*a + p - 7 - 2 = 0. Put h, 1, a in increasing order. h, a, 1 Let x = -6.4 + 6. Suppose 0 = 535*u - 526*u - 27. Sort u, -5, x. -5, x, u Let r = 9 - 4. Let d be 36 - -1 - 72/(-18). Sort 0, r, d. 0, r, d Let p be (-10)/55 - 63/77. Sort 12, 4, -22, p in descending order. 12, 4, p, -22 Suppose 0 = -5*x + 10*n - 6*n + 19, 3*x = -3*n + 6. Let k(c) = c - 7. Let u be k(8). Let m be u/(-4) + 51/12. Sort x, m, -3. -3, x, m Let l = 1488/7 - 213. Let r be 2*(104/40 - 3). Sort r, 0.3, l. r, l, 0.3 Let n be 2/(-10) - 1911/(-105). Let a = n + -15. Put a, -4, 1 in ascending order. -4, 1, a Suppose -3*k - 5*p = -20, 3*p - 11 = 1. Suppose k*q - 3*q - 5*d = -19, 3*d = 5*q - 9. Sort q, 5, 16 in decreasing order. 16, 5, q Let z = 21.96 - 21. Let n = z + -0.06. Sort 3/5, n, -1 in descending order. n, 3/5, -1 Let g = -0.309 + 0.009. Let b = 46/205 + -1/41. Let c = -4.1 - -6.1. Put g, c, b in increasing order. g, b, c Suppose -10 = -2*c + 4. Suppose -6 = 4*j - c*j. Let l be (3*(0 - 2))/2. Sort l, -5, j in decreasing order. j, l, -5 Suppose 2*v = -4*j + 6, -5*v - 5*j - 9 + 4 = 0. Let x be v*(-2)/5 + 3. Put 2, 1, x in ascending order. 1, 2, x Let h = 7 + -4. Let x = h + -2.9. Let f = -103 - -98. Put f, 2/9, x in ascending order. f, x, 2/9 Let m = 32 + -36. Let i = -1.94 + 1.8. Let j = i + 5.14. Put m, j, 2/21 in ascending order. m, 2/21, j Suppose -s - 5*b - 5 = 0, 0 = -4*s + 13*b - 15*b - 2. Sort 0.1, s, -4/25 in descending order. 0.1, s, -4/25 Let a be 2/8 + 42/(-8). Let p = -0.057 + -3.943. Sort a, 2, p in descending order. 2, p, a Let y = -10 + 13. Let p be 4 + (3 - y) + -1. Put 6, -2, p in ascending order. -2, p, 6 Let u = -92499/481 + 17814/37. Let i = u - 289. Let l = -3 - -3.4. Sort l, 0, i in ascending order. 0, i, l Suppose y + 3*d + 8 = 0, 46 = 3*y - 4*d - d. Sort y, 2, 4. 2, 4, y Let m = 816/5 + -162. Put -1, -1/4, m in descending order. m, -1/4, -1 Let r = -784 - -789. Sort r, 3/4, -1, -3 in decreasing order. r, 3/4, -1, -3 Let h = 233 - 268. Put 0.4, 0.3, h in decreasing order. 0.4, 0.3, h Let c(i) = -i**2 - 6*i - 7. Let r be c(-3). Suppose g = 3*m + 29, -r*m + 6 = 2*g - 12. Suppose -g = 5*y - 4*y + 2*u, 4*y + 5*u + 41 = 0. Sort 3, y, 0. y, 0, 3 Let f = -17 + 19. Let m(c) = -7*c**2 - 5*c + 3*c**f + 11 + 3*c**2. Let o be m(-6). Sort o, 3, -1. -1, 3, o Let p = -5927/234 + 330/13. Let y be ((-5)/20)/(2 + -3). Put 1/3, y, 2, p in descending order. 2, 1/3, y, p Suppose -v - 2 = -3*o + 5, 0 = -v - 4. Let n be 4/3*171/(-38). Let d be n/4*8/6. Sort o, -1, d. d, -1, o Suppose -5*y - 3*r + 17 = -56, 4*r = 2*y - 50. Let z = 20 - y. Put z, -11, 4 in ascending order. -11, z, 4 Let m = 0.42 + -0.22. Let u = 0.3 - m. Sort u, -4/9, -0.1, 0.3. -4/9, -0.1, u, 0.3 Let a = -15 - -11. Let q = -2767 + 2765. Put 32, a, q in descending order. 32, q, a Let v = -222 + 228. Put 17, -0.5, v in descending order. 17, v, -0.5 Suppose 0 = 3*a + 6 + 3, -27 = 3*s - a. Let t be (-1)/((-4)/s + (-81)/90). Sort -7, 1, 4, t in ascending order. -7, 1, t, 4 Let a(q) = -9*q**2 + 3*q + 6*q**2 + 3 - 4 + 6*q**3 - q. Let z be a(1). Suppose 0*p + 10 = 2*p. Sort p, -1, z in decreasing order. p, z, -1 Suppose -6*o = -o - 45. Suppose 0 = o*m + 104 + 31. Sort m, 1, -3 in descending order. 1, -3, m Let x(n) = -9*n - 27. Let k be x(-3). Let j be ((-2)/(-6))/((-1)/(-21)). Suppose 0 = -o - 1, j = -2*l + 5*l + 5*o. Sort k, l, 1. k, 1, l Suppose 0*b = 10*b + 30. Sort -23, b, -5. -23, -5, b Let u be (-8)/(-7)*35/10. Let a(d) = -d**3 + 3*d**2 + 4*d + 5. Let l be a(u). Suppose -s + n = 0, 10*n = 2*s + l*n + 15. Put 1, -5, s in descending order. s, 1, -5 Let h be ((-3)/2 + 3 + 0)*-40. Let u be (-225)/h + -1*4. Let k = 1 - 4. Put -5, k, u in decreasing order. u, k, -5 Let k = -79/150 + 2/75. Let z = -84 + 85. Sort z, k, -2 in ascending order. -2, k, z Let f be (-10)/(1 + 2 - 10/2). Sort -1, -3, -2, f in descending order. f, -1, -2, -3 Let v(a) = a**3 - 22*a**2 - a + 21. Let r be v(22). Sort 2, 4, r in descending order. 4, 2, r Let q be 4 - 1 - (-11 + 6 + 5). Sort 8, 2, 4, q in descending order. 8, 4, q, 2 Let j = -137.051 + 0.051. Let u = 131 + j. Sort -0.2, u, 4, -5 in increasing order. u, -5, -0.2, 4 Let h be (-1884)/(-72) + 2/(-12). Let m = h + -25. Put -1, m, -3 in descending order. m, -1, -3 Let x = 0.6 + -0.63. Let v = -42 + 42.6. Let a = v - 0.3. Sort -3/5, x, a. -3/5, x, a Let l = -193 - -194. Put -4, -1, -25, l in ascending order. -25, -4, -1, l Let n be 3*(-20)/(-36)*-6 - -8. Let i(l) = -4*l + 1. Let u be i(1). Let w(t) = t**2 + 5*t + 2. Let f be w(-3). Sort u, n, f in decreasing order. n, u, f Let a = -90 - -126. Suppose 8*j + a = -4. Let b(m) = m + 6. Let d be b(-3). Sort j, 2, d. j, 2, d Suppose -6*h + 3*h = h. Put h, -5, 5, 130 in ascending order. -5, h, 5, 130 Let d be 2 - (-1 + -6)/(-7). Sort 2, d, 4, -19. -19, d, 2, 4 Let d = -37.999 + -0.001. Let r = 35.2 + d. Let m = r - 3.2. Put m, 2/5, -0.5 in decreasing order. 2/5, -0.5, m Let o = -667.99 - -668. Put -3, o, 78 in decreasing order. 78, o, -3 Suppose 3*a = 6*a + 3. Let w = -15 + 23. Suppose w = 6*q - 10. Sort q, -6, a. -6, a, q Let w = 121 + -211. Let h be 15/w + (-25)/(-6). Sort 5, h, -2 in increasing order. -2, h, 5 Let h = 734 + -723. Sort -2, h, 3, -0.1. -2, -0.1, 3, h Let f(h) = h**3 - 6*h**2 + 7*h - 5. Let q be f(5). Let i be (-1)/(-2) - (-1 + (-27)/6). Put q, i, -3 in decreasing order. i, q, -3 Let p = -35 - -34. Let t(f) = -f**2 - 2*f + 4. Suppose -j = 4*b + 16, b = -2*j - 4 - 7. Let v be t(b). Sort 0, v, p in descending order. v, 0, p Let r = 551 - 549. Sort r, -27, 3/5 in decreasing order. r, 3/5, -27 Suppose -5*w = -5 - 0. Let d = -28 + 30. Put 13, w, d in descending order. 13, d, w Suppose 2*k = -4*b + 6, 0*b + 3*k = 4*b - 31. Suppose -4*a + 0*a = -12. Suppose 5*z - n - 60 = 0, -a*z + z = -3*n - 37. Sort z, 1, b in decreasing order. z, b, 1 Let n = -0.08 + 5.08. Suppose 0 = 4*v - 2*v - 6. Suppose 4*m = 2*o - 14, 2*m + 9 = -v*o - 2*m. Sort n, o, 4 in increasing order. o, 4, n Let y = 72 + -60. Suppose -y*u = -u - 33. Sort 5, u, 0, -3 in decreasing order. 5, u, 0, -3 Let l be (1 - 10/6)*(-9)/(-24). Let p = -29
{ "pile_set_name": "DM Mathematics" }
02*k - 1. What is h(u(l))? 6369990*l - 995 Let w(n) be the second derivative of -19*n**4/12 + 4*n + 15. Let t(b) = -87*b. Determine t(w(m)). 1653*m**2 Let y be (-98)/(-8) + 1/(-4). Let h be (12/5)/(1/1 + 875/(-1250)). Let o(j) = -y*j + h*j + 5*j. Let v(z) = -72*z. Calculate o(v(x)). -72*x Let y(p) = -20426*p. Let m(a) = 305*a. Determine y(m(o)). -6229930*o Let k(r) = 11*r + 2. Let y(l) = 20*l + 5. Let d(o) = 5*k(o) - 3*y(o). Let z(h) = -h**2 - h**2 + 3 - 3. Determine z(d(q)). -50*q**2 - 100*q - 50 Let n = 138 + 56. Let g(l) = 12*l**2 - n + 194. Let o(h) be the third derivative of -h**5/60 - 5*h**2. Determine g(o(x)). 12*x**4 Let p(l) = 4*l. Let d(o) be the second derivative of 11*o**7/1260 - 2*o**4/3 - o**3/6 - 2*o + 20. Let w(f) be the third derivative of d(f). Give p(w(u)). 88*u**2 Let z(u) = -4966330*u. Let a(y) = 7*y**2. What is a(z(o))? 172651035682300*o**2 Let b(w) = w + 3. Let n(j) = 2*j + 7. Let y(v) = -7*b(v) + 3*n(v). Let r(u) be the first derivative of u**2 - 75 - 4*u**2 - 53 + 107. Give y(r(i)). 6*i Let b(k) be the second derivative of 5*k**3/2 + 7*k**2/2 - 301*k + 24. Let v(r) be the second derivative of -r**4/12 - r. Determine b(v(c)). -15*c**2 + 7 Let n(y) = 3*y**2. Let d(w) be the second derivative of 61*w**3/2 + 599*w. Give d(n(x)). 549*x**2 Let d(n) = -4*n - 46 + 58 - 12. Let x(s) be the first derivative of s**5/120 + 7*s**3/3 + 7. Let l(g) be the third derivative of x(g). What is l(d(c))? -4*c Let h(k) = 421*k**2. Let v(r) = 43*r**2 + 1149*r + 1. Give v(h(l)). 7621363*l**4 + 483729*l**2 + 1 Let i(t) be the first derivative of -2*t**2 - 696*t - 49 + 3*t**2 + 696*t. Let u(p) = -15*p. Determine u(i(n)). -30*n Let g(b) = 7*b**2 + 3*b**2 + 3*b**2 - 10*b**2 + 11*b**2. Let a(q) = 483*q. Give a(g(o)). 6762*o**2 Let p(n) = -39*n - 12. Let w(x) = 140*x + 43. Let y(r) = 43*p(r) + 12*w(r). Let q(s) be the first derivative of -53*s**3 + 1. Give y(q(c)). -477*c**2 Let d(l) = -15*l - 2. Let v(p) = -46533*p + 1. Give d(v(g)). 697995*g - 17 Suppose 6*x + 27 = -3*x. Let b(l) = 2. Let w(i) = 3*i - 6. Let h(t) = x*b(t) - w(t). Let r(p) = p + 6. Calculate r(h(c)). -3*c + 6 Let d(v) = -4*v. Let z(g) = 6. Let u(i) be the third derivative of -i**4/12 - 11*i**3/2 - 31*i**2. Let y(s) = -6*u(s) - 33*z(s). Calculate d(y(m)). -48*m Let f(v) be the third derivative of 35*v**4/12 - 6979*v**2 - 2*v. Let m(w) = 15*w. Determine m(f(r)). 1050*r Let z(y) = -1714*y**2 - 52*y + 4. Let n(s) = 185*s - 1. Calculate n(z(j)). -317090*j**2 - 9620*j + 739 Let f(z) = 74*z. Let d(j) = 16*j**2 + 6*j. Let y(m) = -837*m**2 - 310*m. Let k(i) = -155*d(i) - 3*y(i). Calculate f(k(l)). 2294*l**2 Let t(o) = -220*o + 440. Let p be t(2). Let s(g) be the second derivative of 18*g + p*g**2 + 0 + 1/3*g**3. Let i(x) = 16*x. Give s(i(h)). 32*h Let r(c) = 3*c**2. Let h(y) = -3*y + 20700 + 4*y**2 - 20683 - 6*y**2 + 5*y. Calculate h(r(g)). -18*g**4 + 6*g**2 + 17 Let s(c) be the first derivative of 2*c**2 + 33446. Let n(r) = -60*r**2 + 5*r + 3. Let g(b) = 30*b**2 - 3*b - 2. Let x(k) = 5*g(k) + 3*n(k). Calculate x(s(l)). -480*l**2 - 1 Let g(h) = 12*h. Let x = -10 + 12. Suppose -2*j = -7*j - 4*m + 30, 0 = x*j + m - 9. Let r(i) = -11*i**2 + 34*i**2 - 11*i**2 - 14*i**j. Determine g(r(d)). -24*d**2 Let n(a) = a**2. Let q = -12 - -15. Let c be q/(-12) + 36/16. Let y(t) = c*t + 6*t + 7*t - 4*t. Calculate n(y(b)). 121*b**2 Let i be 12/(-4) - -5 - 0. Let v(a) = -90 + 213 - 81 - 81 + i*a**2. Let l(k) = k**2. Determine l(v(n)). 4*n**4 - 156*n**2 + 1521 Let u(x) = 6*x**2. Suppose -4 = 2*l, m + 46*l - 44*l = -24. Let p(f) = -f + 1. Let y(w) = -w - 4. Let k(a) = m*p(a) - 5*y(a). Give k(u(j)). 150*j**2 Let g(d) = -25*d. Let z(w) = -10*w - 7. Let k(a) = -11*a - 10. Let m(v) = -7*k(v) + 8*z(v). Determine g(m(y)). 75*y - 350 Let t(v) = -404*v - 1 + 237*v + 163*v. Let m(b) = 2*b**2 + 19*b - 19*b. Determine t(m(l)). -8*l**2 - 1 Let s(i) = 9*i**2 + 108. Let k(q) = -8*q**2 - 162. Let f(n) = 2*k(n) + 3*s(n). Let h(w) = 312*w**2. Calculate h(f(p)). 37752*p**4 Let z(d) = -d. Let v(k) = 36*k**2 - 37600*k. Determine z(v(c)). -36*c**2 + 37600*c Let w(m) = 64*m**2 + 6 + 4 - 1 - 21 - 61*m**2. Let p(h) = -57*h. Calculate p(w(s)). -171*s**2 + 684 Let m(y) = y. Let r(j) = 10 + 267*j + 288*j - 822*j + 269*j. Give r(m(h)). 2*h + 10 Let c(l) = -231651*l. Let v(z) = -2*z**2 - 85*z. Calculate c(v(i)). 463302*i**2 + 19690335*i Let o(g) = -224*g. Let m(f) = 237*f + 88. What is m(o(c))? -53088*c + 88 Let v(g) = 2*g - 3*g - g - 5*g + 5*g**2. Let y(t) = -2*t**2 - t. Let z(i) = 2*v(i) - 14*y(i). Let p(k) = -k. Give p(z(x)). -38*x**2 Let f(p) = -4*p**2. Let n(s) = 39204405*s - 2. What is n(f(u))? -156817620*u**2 - 2 Let v(j) = -265*j**2 - 43374. Let x(f) = 2*f. What is v(x(w))? -1060*w**2 - 43374 Let c(o) = 89 - 8*o - 62 - 27. Let p(w) = -39*w**2. Give c(p(x)). 312*x**2 Let a(d) = -4*d**2. Let w(s) = -2*s - 9. Let y(q) = -q + 63 - 25 - 42. Let r = 14 + -18. Let o(z) = r*w(z) + 9*y(z). Determine a(o(g)). -4*g**2 Let b(n) = -472715 - 2009*n + 472715. Let w(r) = -r. What is b(w(t))? 2009*t Let b(l) = -4*l. Let v(t) = -2*t - 2. Let w(d) = -44*d + 2. Let u(y) = 5*v(y) + w(y). Give b(u(o)). 216*o + 32 Let r(m) be the third derivative of -m**4/8 + 6*m**2. Suppose -11*g = 2*g - 871. Let p(k) = 25*k + 35*k - g*k. Determine r(p(j)). 21*j Let k(b) = -225*b + 459*b - 231*b. Suppose 45*p - 47*p = -4. Let j(r) = 0*r + 0*r - 2*r**p + 10*r**2. Give k(j(y)). 24*y**2 Let q(v) = -3*v. Let g(k) be the first derivative of 94*k**2 + 1221. Calculate q(g(j)). -564*j Let x(m) = 2912212*m + 84186. Let z(s) = -3113*s - 90. Let b(w) = -5*x(w) - 4677*z(w). Let q(i) = 5*i. Calculate b(q(y)). -7795*y Let j(z) = -z. Let r(t) = 233*t**2 + 7*t + 138. Let b(u) = 466*u**2 + 13*u + 259. Let s(x) = 8*b(x) - 15*r(x). Give j(s(p)). -233*p**2 + p - 2 Suppose 447 = -v + 6481. Let w(h) = -6034 - 2*h + v. Let n(q) = -4*q - 5. Determine w(n(b)). 8*b + 10 Let j(a) = -17*a - 1. Let k(x) = -18*x - 1. Let w(g) = -6*j(g) + 5*k(g). Let z = -138 - -141. Let n(r) = -2*r - 7*r + 10*r - z*r. Determine w(n(l)). -24*l + 1 Let c(b) be the first derivative of -2*b**3/3 + 391. Let n(d) be the third derivative of d**4/6 + 23*d**3/6 - 76*d**2. What is c(n(q))? -32*q**2 - 368*q - 1058 Let o(r) = -1120*r**2 + 543*r**2 + 565*r**2. Let d(w) = 5 + 0*w**2 - 5 - 9*w**2. What is d(o(b))? -1296*b**4 Let x(v) = -2*v + 2*v + 0*v + 218*v**2 + 26*v**2. Let d(m) be the third derivative of -m**5/60 + 4*m**2. Give d(x(c)). -59536*c**4 Let b(s) be the third derivative of 4*s**5/15 - 2*s**2. Let y(l) = 10*l + 3*l - l - l - 2*l + 14*l. Determine b(y(w)). 8464*w**2 Let x(j) = -3138*j. Let o(w) = -2*w - 438. Give x(o(z)). 6276*z + 1374444 Let r(x) = -4*x. Suppose 45 = 10*l + 25. Let g(j) = -389*j + 389*j + 53*j**l + 8*j**2. What is g(r(o))? 976*o**2 Let o(c) = 2*c. Let r(h) be the third derivative of 4*h**5/5 - h**4/12 - 4*h**3/3 + 310*h**2. Calculate o(r(w)). 96*w**2 - 4*w - 16 Let n(w) = -5*w + 107. Let d be n(21). Let l(a) = 844*a**2 - 1712*a**2 + 856*a**d. Let p(u) = 17*u. Give p(l(h)). -204*h**2 Let p(y) = -2044*y**2 - 2*y. Let k(l) = 91*l**2. Give p(k(j)). -16926364*j**4 - 182*j**2 Let r(d) = -159*d. Suppose z - 2*m = -3*m + 3, 0 = 3*z + 2*m - 8. Let y(p) = -p**z + 28508*p - 28508*p. Calculate y(r(u)). -25281*u**2 Let g(w) = -w**3 + 2*w**2 - 2*w + 2. Let o be g(0). Let a(t) = -2*t**o + 101487*t - 101487*t. Let r(x) = -209*x. What is a(r(l))? -87362*l**2 Let f(s) = -s + 1. Let g(t) be the second derivative of 61*t**3/2 + 6596*t. Calculate g(f(b)). -183*b + 183 Let k(j) = -9600*j. Let n(o) = -o**2 + 2025*o. Determine k(n(x)). 9600*x**2 - 19440000*x Let c(s) = 22*s**2 - 647820*s. Let g(i) = 5*i. Determine g(c(a)). 110*a**2 - 3239100*a Let x(n) = 9*n - 105. Let i(u) = 10*u - 90. Let t(m) = 7*i(m) - 6*x(m). Let b(v) = -120*v. Calculate t(b(p)). -1920*p Let k(f) = 125*f - 25. Let i(b) = -21*b + 4. Let j(c) = -25*i(c) - 4*k(c). Let g(u) = 8*u - 19*u + 9*u. Determine g(j(d)). -50*d Let b(h) = 2*h + 1. Let a(g) = -5*g**2 - 12994. Give a(b(m)). -20*m**2 - 20*m - 12999 Let x(l) = -2*l**2 + 7*l + 107. Let c(k) = -205*k**2. Calculate x(c(h)). -84050*h**4 - 1435*h**2 + 107 Let v(t) = -t. Let q(k) = -k**3 - 2*k - 3. Let y be q(-1). Suppose 6*j - j - 35 = y. Let m(c) = 17 - 10 + j*c - 7. Calculate m(v(a)). -7*a Let w(n)
{ "pile_set_name": "DM Mathematics" }
. What is the closest to 0.1 in f, c, h? h Let n = -0.7 - 4.3. Let u = n - -4. Let p = -3 - -2.5. Which is the closest to 2/3? (a) u (b) 0 (c) p b Let n = 4129 + -929027/225. Let k = n + 302/225. Let x = -188 + 193. What is the nearest to 2 in k, x, 0.5? k Let h be (2 + -1)*(1 + 2). Let k be (-76)/28 + h + 0. Which is the nearest to -2? (a) 1/2 (b) -1/4 (c) k b Let l = -2.6 - -3. Let y = l - 0.7. What is the nearest to 2/5 in 1/7, y, -2/17? 1/7 Let k = -6 + 6.38. Let d = 0.3 - k. Let b = d + 5.08. What is the nearest to 3 in b, -0.1, -5? b Let w = 2.93 - 3.93. Let a = -0.03 - -3.03. What is the closest to -0.2 in 1/3, w, a? 1/3 Let z = 9.6 - 9. Let q = z - -1.4. Which is the closest to q? (a) 0.5 (b) 0.3 (c) 2 c Suppose 0 = 10*w - 8*w - 6. Let a = 0.1 - 0.3. What is the closest to -2/7 in a, 1, w? a Let o = 61 + -61.4. Let j = 3.7 - -1.3. Let h = j - 0. Which is the closest to 1/4? (a) -2 (b) o (c) h b Let y = 3.3 - 3. Let v = -1241/4 - -358. Let u = v + -48. Which is the closest to u? (a) y (b) 3 (c) 0.5 a Let x = 2.4 + -3.4. Let n(s) = s - 1. Let w be n(6). What is the nearest to x in 0.5, w, -3? 0.5 Let v be -5 + (-508)/(-120) + (-4)/(-6). What is the nearest to 2/9 in 0.2, -5/2, v? 0.2 Let x(y) = -y**3 + y**2 + y. Let k(p) = -p**3 - 2*p**2 - 3*p - 4. Let o(t) = -k(t) + 2*x(t). Let l be o(5). Which is the closest to 1? (a) -1/3 (b) l (c) -4 a Let f = 162 + -161.5. What is the closest to -2 in f, 2/13, -1/3? -1/3 Let j be 1 - 2/((-48)/(-20)). What is the closest to -1 in j, -0.5, -2/5? -0.5 Let j = -23 - -22. Which is the nearest to j? (a) 1 (b) -1/7 (c) -1/2 c Let r = -33 + 33.2. Let c = -4 - -6. What is the nearest to r in -0.4, 0.2, c? 0.2 Suppose 2*o - 4*o = 0. Let k(j) = 2*j**3 - 3*j**2 - 3*j. Let n be k(5). Let w = 637/4 - n. Which is the closest to 1/3? (a) w (b) o (c) 5 b Let t = -2.4 + -0.6. Which is the closest to 0? (a) t (b) 2/19 (c) -0.02 c Suppose 5*a + 0*a = -5. Let w = a + -3. What is the closest to 0.1 in 1, 0.4, w? 0.4 Let l = 1.3 - 1. Which is the closest to 1? (a) -3 (b) l (c) 3/5 c Let p = 0.12 - 0.25. Let m = -5.13 - p. What is the nearest to 1/3 in 3, m, -3? 3 Let m = 0.36 - 0.06. Let k = 0.1 - m. What is the nearest to -2 in k, 1/8, -5? k Let f = 2 - 1. Let z = -0.6 - -0.6. Let s = 0.4 - z. Which is the nearest to f? (a) 5 (b) 3/7 (c) s b Suppose -19*p + 19 = 114. Which is the closest to p? (a) 1/10 (b) -0.3 (c) 4 b Let t be 13/468 + 1*2/(-8). Let s = -12/5 + 101/40. Suppose w - j = -0*w - 1, -4*j + 40 = 5*w. Which is the nearest to 1/2? (a) t (b) s (c) w b Let n be -1 - ((-36)/15 - -1). Let v be ((-8)/(-54))/(17/(-51)). What is the nearest to -1 in -0.2, v, n? v Let b = 6 - 7. Let l(v) = -v**3 + 5*v**2 - 4*v - 1. Let t be l(4). What is the nearest to t in 0.4, 2, b? b Let o = 1.5 + -2. Let i = -2.8 - -3. What is the closest to 2/7 in i, o, -0.1? i Let p = 39 - 34. What is the closest to -2/21 in p, 2, 0? 0 Let v = -2.1 + 0.1. Let s = -1.5 - v. What is the closest to -0.1 in -3/4, -4, s? s Let y be ((-10)/2)/(3 - 2). Let i = 1 + -0.5. Which is the nearest to -0.1? (a) y (b) 0 (c) i b Let x = 31/36 + -10/9. Let w = -2 - -1.9. What is the closest to w in x, 0, -3? 0 Let x(h) = -h**2 - 15*h - 5. Let a be x(-15). What is the closest to -1/2 in 5, 2, a? 2 Suppose -x = 3*r - 30, -5*x + 2*r + 11 = -54. Suppose 5*q - v - 2 = -x, 4*v = q - 5. What is the closest to -1/3 in -0.2, q, -4? -0.2 Let t = -18.5 - -19. Which is the closest to 2/5? (a) -4 (b) t (c) -3 b Let x = -7.39 + 0.39. What is the closest to 0.1 in 2/7, x, 2/3? 2/7 Let h be (-2)/(-18)*(-6 - -9). Which is the nearest to 2/3? (a) 0.09 (b) h (c) -3/2 b Let q = -47/102 - 2/51. Let a = -10 - -6. Let r = a + 6. What is the nearest to 1 in r, 3, q? r Let q = 0.3 - 5.3. Let g = -0.039 + 0.339. What is the closest to 2/7 in g, 4, q? g Suppose j = -1, -4*t - 4 = -3*t + 4*j. Let i be 6*2/(-4)*(-3)/36. What is the nearest to 0.1 in i, t, -1? t Let l = 3 - 2. Let i = 0.6 + -0.59. Let v = 0.41 - i. Which is the closest to l? (a) 4 (b) v (c) 2/3 c Let a(t) = t**2 + 10*t + 17. Let d be a(-7). Let h be (-52)/429*6/d. What is the closest to 0.1 in h, 2/5, -0.5? h Let t = -74 - -371/5. Let p = -0.104 + -11.296. Let d = -11 - p. Which is the nearest to -0.1? (a) t (b) d (c) -0.3 c Let q = -6 + 5.6. Let b = -19 - -19. What is the nearest to b in -5, -4, q? q Let f be (2 + -1)*(-4)/(-1). Suppose -4*b - 2*p + 18 = 0, f*b + 5*p - 20 = 7. Let c be (b/(-2))/(108/16). What is the nearest to 0.2 in -1, 2, c? c Let k(m) = 1 + m**2 - 3 + 1 + 5*m. Let g be k(-6). Which is the nearest to 1/3? (a) 0.5 (b) g (c) 0.3 c Let r = -6 + 10. Let m = -0.1 - -0.2. Let l = m - 0.1. Which is the closest to l? (a) -2 (b) r (c) -1 c Suppose 17 = 8*l + 17. Let j be (9/(-6))/(12/(-10)). What is the nearest to 0 in l, 1, j? l Let p = -0.11 + 0.11. Which is the closest to -1? (a) p (b) -0.5 (c) -4 b Let r = -5 + 10. Suppose 0 = r*n - 5*b + 2 + 3, 1 = -b. What is the closest to -0.1 in -1/4, n, 0.4? -1/4 Let q = 14 - 10. Let t = -11 - -11. Which is the closest to t? (a) 0.3 (b) q (c) 0.1 c Let c = -53 + 53. Let a = -0.26 + -0.04. Let j = 0.4 + 0.1. What is the nearest to 2 in j, a, c? j Suppose 129*n - 3 = 126*n. Let a(y) = -y**2 - 2. Let z be a(-5). Let o be (-6)/z - 46/(-36). What is the closest to -2/3 in o, -4/5, n? -4/5 Let j = 0.3 + -0.4. Let q = -169 + 115. Let x be (-48)/q*6/(-8). Which is the closest to 1? (a) 3 (b) x (c) j c Let o = -0.094 - -0.094. Let w = 6 + -5.6. Which is the closest to o? (a) 5 (b) w (c) -2/15 c Let t = -5 + 4. Let k be t/(-5) + 85/(-175). What is the nearest to 2/5 in 0.4, -3, k? 0.4 Let t = -0.28 + 0.48. What is the closest to 1 in t, 4, 0.5? 0.5 Let t = -102.3 - -102. What is the closest to -1/3 in -1/4, t, 0.4? t Let b = -13 + 12. What is the nearest to b in -0.1, 0.4, 1/4? -0.1 Let q = -55 + 54. Which is the closest to -2/9? (a) 2 (b) q (c) -2/19 c Let w = 7 - 6.6. Let t = 11.5 - 11. What is the nearest to w in 5, 0.1, t? t Let r = -172 - -172.1. Which is the closest to r? (a) 5 (b) 1/3 (c) 1/4 c Suppose -4*b + 4 = 20. Let k = -0.3 - -0.2. What is the closest to k in 2/9, b, -2/7? -2/7 Let p = -15 + 25. Let f be (-9)/p*(-12)/(-18). What is the closest to -1/3 in 3, f, -1/3? -1/3 Let x(s) = 2*s**2 + 1. Let h be x(-1). What is the nearest to 0 in 1, -0.03, h? -0.03 Let u(n) = n**2 - 6*n + 7. Let v be u(5). Let w = -0.15 - -0.55. Which is the closest to v? (a) 3/2 (b) w (c) 0.3 a Let w(j) = -j**3 - j**2 - j + 1. Let d be w(1). What is the closest to -1/5 in 3, 4, d? d Let g = 34 + -15. Which is the nearest to 1? (a) 2/19 (b) g (c) -0.4 a Let w = -45 + 50. Suppose -4*n - 22 = -o, -5 = 2*o + 3*o + 3*n. Which is the nearest to 1? (a) o (b) w (c) -0.3 a Let p = 1.5 + -0.5. Let w = -0.3 + 0.7. Let g(t) = t**2 + 6*t - 11. Let d be g(-7). Which is the nearest to p? (a) d (b) 0.5 (c) w b Suppose 6*u = -u. Which is the nearest to 0? (a) u (b) 8 (c) 0.4 a Let z = -226661/235785 - 10/4287. Let n = z + 4/11. Let f = 0.2 + -0.1. What is the nearest to f in -4, 1/6, n? 1/6 Let a = -113 - -108. What is the closest to 1 in a, 0.5, -5/8? 0.5 Let h = -0.1 - -0.1. Let z = 28 - 198/7. What is the nearest to 0 in 4, h, z? h Let c = 4363/6 + -784. Suppose -2*f - 28 + 142 = 0. Let v = f + c. What is the closest to 0 in -4, v, 3? v Let v = -1/2 - -1/6. Which is the closest to -3? (a) 0.5 (b) -1/8 (c) v c Let h be 1/((-18)/(0 - 2)). Let f = -68 + 68. Which is the closest to -1/4? (a) 2/11 (b) h (c) f c Let v = -0.589 + 0.089. Which is the closest to 0.9? (a) 5 (b) v (c) 0.2 c Let r(x) = x**2 + 10*x + 19. Let p be r(-3). Which is the closest to p? (a) 2/3 (b) -16 (c) -4 c Let w = -0.03 - 0.17. Which is the nearest to 0.2? (a) w (b) 4 (c) 0 c Suppose -w + 3 = -3*f, -5*f = -5*w - 2*f + 15. Let l = 3 - -1. Let j = -0.22 + 0.22. What is the nearest to -1/4 in w, j, l? j Let l = -280 + 276. Let s = -45/2 + 23. What is the nearest to s in -4/5, l, 3? -4/5 Let l = -10 - -13. Let n(y) = y + 3. Let u be n(-6). What is the closest to u in l, 0.1, 4/9? 0.1 Let r = -917 - -916.8. Let z = 0 - -4. Let x = 0.6 + -0.1. Which is the closest to r? (a) z (b) -2 (c) x c Let i = 0.43 + -0.47. Which is the closest
{ "pile_set_name": "DM Mathematics" }
*4 + 158*o = 0. Calculate o. 0, 1, 102 Let t be 11/((-88)/48) - -11. Suppose 424*c**t - 419*c**5 + c - c = 0. What is c? 0 Let i(s) = 17*s. Let h be i(0). Let l be (52 + -50)*((-2 - h) + 4). Determine x, given that 2/3*x**3 + 2/3*x**l - 2/3*x**2 - 2/3*x + 0 = 0. -1, 0, 1 Let z = -645873/5 - -129176. Factor 0*d + 8/5*d**3 + 0*d**2 + z*d**5 - 6*d**4 + 0. d**3*(d - 4)*(7*d - 2)/5 Let c(f) be the second derivative of -f**8/1344 + 2*f**7/63 - 5*f**6/48 - 41*f**4/2 + 166*f. Let x(z) be the third derivative of c(z). Factor x(m). -5*m*(m - 15)*(m - 1) Let n be ((-170)/20)/(15/(-14) - -1). Let q = -87 + n. Factor -q + 6*k**2 + 8*k**3 - 20*k**3 + 13*k**3. (k - 2)*(k + 4)**2 Let b(l) be the third derivative of l**6/900 - 17*l**5/450 + 2*l**4/5 + 1836*l**2 + l + 1. Suppose b(j) = 0. Calculate j. 0, 8, 9 Suppose -5*o + 26 = -4*d, 3*d = 5*o - 8*o - 6. Let x be (d/(-32)*-2)/(2/(-24)). Factor -z**3 - 7*z - x*z**4 + 8*z**4 + 2*z + 6*z**3 - 5*z**2. 5*z*(z - 1)*(z + 1)**2 Let m be ((-7)/(-3))/1 - (-71 - (-425)/6). Find i such that -1/2*i**2 - 3 - m*i = 0. -3, -2 Let 1124 - 594 + 5*c**2 - 25*c - 650 = 0. Calculate c. -3, 8 Suppose -b - 5 = -0*b, c = 3*b + 27. Let 0*i**2 + 0*i**2 + c*i - 616 + i**2 + 627 = 0. Calculate i. -11, -1 Let h(q) be the second derivative of 0*q**2 + 3/25*q**5 - 2*q + 24 + 3/20*q**4 + 1/50*q**6 + 0*q**3. Factor h(j). 3*j**2*(j + 1)*(j + 3)/5 Let s(z) be the first derivative of 39 + 1/4*z**3 + 15/2*z + 21/8*z**2. Find f such that s(f) = 0. -5, -2 Let m(w) be the second derivative of 5/7*w**3 + 1/70*w**5 + 0 + 8/21*w**4 + 0*w**2 - 128*w. Suppose m(h) = 0. What is h? -15, -1, 0 Let z(s) be the third derivative of -31*s**6/96 + 311*s**5/120 - s**4/12 + 15*s**2 - 44. Find d such that z(d) = 0. 0, 2/155, 4 Let u be 3384/96 - (33 + -18). Solve u + 9/2*y + 1/4*y**2 = 0 for y. -9 Factor 0 - 36/5*k**2 + 32/5*k**3 + 4/5*k**4 - 288/5*k. 4*k*(k - 3)*(k + 3)*(k + 8)/5 Find v such that 712/7*v**2 - 4/7*v**3 - 33060/7*v + 121104/7 = 0. 4, 87 Let h(s) be the second derivative of -3*s**5/4 - 157*s**4/4 + 49*s**3 + 96*s**2 - 22*s + 97. Factor h(f). -3*(f - 1)*(f + 32)*(5*f + 2) Let y = -2114 + 2077. Let p be ((-70)/(-315))/(y/(-12) - 3). Factor 2/3*z**2 - p + 2/3*z**3 - 8/3*z. 2*(z - 2)*(z + 1)*(z + 2)/3 Solve 0*j + 9*j**3 + j**5 - 10*j - 2821*j**4 + 2814*j**4 + 7*j**2 + 0*j**2 = 0 for j. -1, 0, 1, 2, 5 Let v = -157 + 159. Suppose 4*y + 0*p = v*p + 8, 0 = 5*y - p - 10. Solve -3/8*m**3 + 0 + 3/8*m + 0*m**y = 0 for m. -1, 0, 1 Let m(x) be the third derivative of -2 - 1/35*x**5 - 1/56*x**4 - 1/70*x**6 - 3*x**2 + 0*x + 0*x**3. Solve m(t) = 0. -1/2, 0 Let w be ((-44)/55)/((-14)/5). Let n be (48/(-40) + 4)*5*36/294. Factor -16/7*t**3 + 26/7*t**2 - n*t + 0 + w*t**4. 2*t*(t - 6)*(t - 1)**2/7 Let l(u) be the second derivative of u**6/30 + 7*u**5/12 - 49*u**4/24 + 5*u**3/3 + 23*u**2/2 + 6*u - 5. Let d(z) be the first derivative of l(z). Factor d(i). (i - 1)*(i + 10)*(4*i - 1) Let k(s) = 63*s**3 + 2310*s**2 + 4599*s + 2280. Let n(z) = -13*z**3 - 462*z**2 - 920*z - 456. Let v(m) = 5*k(m) + 24*n(m). Determine t, given that v(t) = 0. -152, -1 Factor 120*q - 49/4*q**2 + 1/4*q**3 - 333. (q - 37)*(q - 6)**2/4 Let -148/5 - 419/5*o**2 + 448/5*o - 3/5*o**4 + 122/5*o**3 = 0. Calculate o. 2/3, 1, 2, 37 Let k(o) be the third derivative of 0*o**3 + 98*o**2 - 1/80*o**6 + 3/8*o**4 + 1/8*o**5 + 0*o + 0. Solve k(j) = 0. -1, 0, 6 Let v(r) be the first derivative of 16/3*r**3 + 5*r**2 - 100*r + 70 + 1/2*r**4. Factor v(u). 2*(u - 2)*(u + 5)**2 Suppose -2*j - 1 + 5 = 0, -2*j = x - 6. What is v in -2*v**2 + 4*v**3 + 9610*v**4 - 9608*v**4 - 6*v + x*v = 0? -2, -1, 0, 1 Let a(w) = 4*w**3 - 9*w**2 + 7*w + 1. Let u be a(1). Suppose -46*m + 3 = u. Factor 0 + 2/7*k**2 + m*k - 1/7*k**3. -k**2*(k - 2)/7 Factor -58*m + 96*m - 143*m**2 + 145*m**2. 2*m*(m + 19) Let f be 5 - (4 + 2) - -10. Suppose 0 = -u - 7 + 2, -3*d = -2*u - 37. Factor 0 - 2 + 2*a**2 - f + d. 2*(a - 1)*(a + 1) Let r(n) = -n + 3. Let c(f) = 4*f - 34. Let w be c(8). Let q be r(w). Let 1607*x**4 - 2*x**2 - 3*x**3 - 1604*x**4 + 3*x**q - x**2 = 0. Calculate x. -1, 0, 1 Determine r so that 1/4*r**4 + 47*r + 87/4*r**2 + 4*r**3 + 35 = 0. -7, -5, -2 Factor 1/3*c**2 + 185 + 116/3*c. (c + 5)*(c + 111)/3 Let p(t) = 101*t - 2422. Let w be p(24). Let a(i) be the first derivative of -22/35*i**5 + 0*i + 6 + 4/21*i**3 - 9/14*i**4 + 0*i**w. Factor a(o). -2*o**2*(o + 1)*(11*o - 2)/7 Suppose -680 = 13*o - 15*o. Suppose -5*i - 5*i = -o. Factor 16 - 24*s - 18 - i - 4*s**2. -4*(s + 3)**2 Determine c, given that 31/6*c + 5 + 5/3*c**2 + 1/6*c**3 = 0. -5, -3, -2 Let o(r) be the second derivative of -r**5/25 - 16*r**4/3 - 2798*r**3/15 - 528*r**2 - 3*r - 496. Factor o(t). -4*(t + 1)*(t + 24)*(t + 55)/5 Let y be 2 - (-1 + 88/(-4)). Factor 41 + 15*t - 6*t**2 - 24 - t**3 + 0*t**3 - y. -(t - 1)**2*(t + 8) Solve 248*p**3 - 21*p**4 + 2455*p**2 + 14*p**4 - 758*p**3 + 19*p**4 - 2910*p - 7*p**4 = 0 for p. 0, 2, 3, 97 Let i(a) be the first derivative of -a**5/20 - 471*a**4/4 - 221841*a**3/2 - 104487111*a**2/2 - 49213429281*a/4 - 1451. Factor i(f). -(f + 471)**4/4 Suppose -1570*a**2 - 1800*a**3 + 694/3*a + 4/3 = 0. What is a? -1, -1/180, 2/15 Determine r, given that 2273*r**2 - 86*r**3 - 46*r**3 + 767 + 132*r + 2082*r**2 - 5696 + 573 + r**4 = 0. -1, 1, 66 Let g(r) be the first derivative of -5*r**3/9 + 335*r**2/6 - 1064. Factor g(i). -5*i*(i - 67)/3 Solve -6*n**3 - n**3 - 70*n**4 - 3*n**3 + n**5 + 67*n**4 = 0 for n. -2, 0, 5 Let b(g) = g**2 - 892*g - 32443. Let f be b(-35). Find v such that -2/9*v + 2/9*v**3 + 2/9*v**f + 0 - 2/9*v**4 = 0. -1, 0, 1 Let y(v) be the third derivative of -10/3*v**4 + 19*v**2 - 400/3*v**3 + 0 - 1/30*v**5 + 0*v. Determine o so that y(o) = 0. -20 Let y(w) be the first derivative of -w**6/1800 - 11*w**5/600 - w**4/12 - 2*w**3/3 + 4*w**2 + 51. Let d(p) be the third derivative of y(p). Factor d(t). -(t + 1)*(t + 10)/5 Let x be (-12)/4 - (11 + 0/(-3)). Let d be -1 + ((-18)/x - (-17 - -17)). Let d*p**2 + 4/7*p - 2/7*p**3 + 0 = 0. What is p? -1, 0, 2 Let f(j) = j**3 - 5*j**2 - j + 6. Let w be f(5). Let d be (12/18*1)/(w/3). Determine y so that 2*y - 222*y**2 + 226*y**d - 4*y**4 - 10*y + 8*y**3 = 0. -1, 0, 1, 2 Let g be 44/(-4) + (-3)/(-1). Let c be 6*(-4)/g - 0. Factor 31*s**2 + 4*s**2 + 4*s**2 + 12*s**3 + 3 + 6*s**c + 24*s. 3*(s + 1)**2*(6*s + 1) Let n(b) = -3*b**3 + 40*b**2 - 514*b + 462. Let f(x) = x**3 - 21*x**2 + 257*x - 231. Let m(l) = 5*f(l) + 2*n(l). Factor m(k). -(k - 7)*(k - 1)*(k + 33) Let j(s) = 537*s + 5910. Let y be j(-11). Let w = -1 - -5. Let 0*k - 3/2*k**5 + 0 + 0*k**2 - 3/2*k**w + y*k**3 = 0. Calculate k. -2, 0, 1 Let g(x) be the second derivative of x**4/72 - 23*x**3/18 - 305*x**2/4 - 4128*x. Factor g(k). (k - 61)*(k + 15)/6 Let d(p) be the second derivative of -1/70*p**7 - p**3 + 9/50*p**6 + 0 + 0*p**2 + 27/20*p**4 - 3/4*p**5 + 53*p. Solve d(l) = 0 for l. 0, 1, 2, 5 Let j = 97 - 94. Find f such that -j*f**3 + 4*f**3 + 2 + 2 + 2*f**3 - 4*f - 5*f**2 = 0. -1, 2/3, 2 Let c be (-6 + (-345)/92)/((-18)/16) + -2. Let x(t) be the second derivative of 1 - c*t**3 - 1/375*t**6 - 25*t**2 - 6*t - 2/25*t**5 - t**4. Factor x(q). -2*(q + 5)**4/25 Let y(u) be the first derivative of 2*u**3/3 + 89*u**2 - 180*u + 2525. Factor y(k). 2*(k - 1)*(k + 90) Factor 3*h**3 - 183*h**2 - 6241295*h + 6241295*h. 3*h**2*(h - 61) Let h be 275*(-72)/(-33264) + 2/(-4). Determine o, given that -h*o**2 + 44/21 - 6/7*o = 0. -11, 2 Let m = 4979 - 4975. Suppose -2*u + 4*z = -72, -3*z = 4*u - 53 - 58. Solve -6*q**m + 77*q**2 + 20 - u*q**3 - 60*q + 11*q**4 - 12*q**2 = 0 for q. 1, 2 Solve 2*i**5 - 14*i**2 - 826*i + 14*i**4 + 2*i**3 - 4*i**5 + 826*i = 0 for i. -1, 0, 1, 7 Let t(q) be the first derivative of 0*q + 6*q**2 - 1/300*q**5 - 1/40*q**4 - 11 + 0*q**3. Let i(v) be the second derivative of t(v). Factor i(a). -a*(a + 3)/5 Suppose 0*x = 5*x - 2*h - 71, -x + 7 = 2*h. Suppose -x*c = 1 - 1. What is w in c*w**3 - 4/7*w**2 + 0*w + 2/7*w**4 + 2/7 = 0? -1, 1 Let c be 259/(-111)*6/4 - (2 + -55). Find u, given that -45/2*u - 111/2*u**2 - c*u**3 - 27/2*u**4 - 3 = 0. -2, -1, -1/3 Let f(s) be the third derivative of -s**5/210 + 23*s**4/21 + 188*s**3/21 + 1887*s**2. Factor f(o). -2*(o - 94)*(o + 2)/7 Suppose -75802*i + 4*i**4 + 24324*i**2 + 23104 + 8457*i**3 + 28986*i - 9073*i**3 =
{ "pile_set_name": "DM Mathematics" }
**2 + (-2*z - 4*z + 4*z)*(-3*z + z + 3*z))*(-45 + 16 + 3). 26*z**2 Expand (2*p + 0*p + 0*p)*(3 - 14 - 12) + 5*p - 3*p - 3*p. -47*p Expand (3*f - 3*f - 2*f + (3 - 3 - 2*f)*(3 + 0 - 1) + 2*f + 0*f - 4 + 3)*(4*f + 18*f - 39*f + (1 - 1 - 2)*(-3*f - 3*f + 4*f)). 52*f**2 + 13*f Expand (2*h**3 - 6*h**3 + 5*h**3)*(-4645*h + 8228*h - 4331*h - 2*h - 2*h + 5*h + (0*h + 2*h + 0*h)*(-4 + 2 + 0) - 3*h + h + 0*h). -753*h**4 Expand (4*r + 5 - r - r)*(0*r**4 + r**4 - 12*r**4). -22*r**5 - 55*r**4 Expand (-9*r**2 + 9*r**2 - 12*r**5)*(7 - 11 + 20). -192*r**5 Expand (7 + j + 4 + 0*j)*(14*j + 457 - 457). 14*j**2 + 154*j Expand (-2 + 4 - 5)*(-2 + 0 + 0)*(-3*d + 119*d**2 - 229*d**2 + 120*d**2). 60*d**2 - 18*d Expand (2*v**2 + v**2 - 2*v**2)*((0 - 2 - 5)*(7 + v - 7) - 2*v + 1 - 1). -9*v**3 Expand (-3*s + s + 4*s)*(5*s**3 - 6*s**3 + 3*s**2 - 8 + 2*s**2). -2*s**4 + 10*s**3 - 16*s Expand (-94 + 5 + 1)*(-2*g**4 + 0*g**4 + 3*g**4). -88*g**4 Expand 32*s**2 - 43*s**2 - 24*s**2 - s**2 + 0 + 0 + 14*s**2 - 67*s + 67*s + (5*s**2 - 2*s**2 - s**2)*(3 - 2 - 3). -26*s**2 Expand 0*i**2 + 0*i**2 + i**3 - 10*i**3 + 40*i**3 - 3*i**3 - 2*i**3 - 2*i**3 + 6*i**3 + (0*i**2 + i**2 - 2*i**2)*(-2*i + 2*i + i) + 3*i**3 - i**3 + 0*i**3. 31*i**3 Expand 57*w + 59*w - 29*w + (-2*w - 3*w + 3*w)*(-3 + 1 - 1) + 4 - 4 + w + (-2 + 4 + 0)*(-1 + 2*w + 1) - 2*w - w + 2*w. 97*w Expand z**3 + 522*z + 417*z - 264*z + (2 - 1 + 1)*(-4*z - 2*z**3 + 4*z). -3*z**3 + 675*z Expand (4 - 2 - 1)*(295*k + 2 + 114*k**3 - 295*k). 114*k**3 + 2 Expand (-49 - 11 - 11)*(48*x - 48*x - 17*x**3). 1207*x**3 Expand (2*z**3 + z**3 - 5*z**3)*(16*z + 18*z + 5*z)*(-2 + 2 - 3*z). 234*z**5 Expand (1 - 2 + 0)*(-387*p**4 + 10898 - 10898). 387*p**4 Expand (-5 - 2 + 4)*(0*s**2 + 5*s**2 - 3*s**2)*(0*s**3 + 6*s**2 - 6*s**3 - 5498*s + 5501*s). 36*s**5 - 36*s**4 - 18*s**3 Expand -14*g + 134*g**3 + 12*g - 135*g**3 - 719*g**2 - g**3 - 2*g**3 + 2*g**3 + g**3 + 0*g**3 - 3*g**3 + (-3*g - g**2 + 3*g)*(2*g - 5*g + 2*g). -3*g**3 - 719*g**2 - 2*g Expand (22*s**3 + 33*s**3 - 15*s**3)*(-1 - 2*s + 1) + (3*s - 3*s - 2*s)*(-4*s**3 + s**3 + s**3) - 2*s**4 + 2*s**3 - 2*s**3. -78*s**4 Expand (-2 - 3 + 2)*(2*j - 4*j + 4*j + (1 + 1 + 0)*(j + 3*j - 2*j) + (1 + 3 - 1)*(-3*j + 0*j + 0*j) - 2*j + j + 3*j). 3*j Expand (-2*d**3 + 0*d**3 + d**3)*(-501 - 198 - 377). 1076*d**3 Expand a - a - 2*a**3 + (1 + a - 1)*(a**2 - 3*a**2 + 3*a**2) + 2*a**3 + 4*a**2 - 4*a**2 + (-4*a + 7*a - 5*a)*(-10*a**2 + 27*a**2 - 23*a**2). 13*a**3 Expand (-10 - 1 + 1 - 2)*(-26*z**5 - z**5 - 7*z**5). 408*z**5 Expand (-4*d**2 + 3*d**2 + 0*d**2)*(-6*d + 3*d + d) - 4*d**3 + 3*d**3 + 2*d**3 + (-2*d**2 + 2*d**2 - d**2)*(-2 + 2 - 2*d) + 4*d + 8*d**3 - 4*d. 13*d**3 Expand (-9 + 8 + 1 - 37*k**2)*(3 - 3 + 4). -148*k**2 Expand -8*l**4 + 7*l**4 - 11*l**4 + (-5*l + l + 2*l)*(-l**2 + l**2 + 3*l**3) - 16*l**4 - 12*l**4 + 3*l**4. -43*l**4 Expand (15*o + 10*o - 16*o)*(0*o + 0*o + 2*o)*(-1 - 3 + 3)*(6*o - 3*o - o). -36*o**3 Expand (0*s + s + 4*s)*(-2 - 4 + 2)*(5*s + 7*s**3 - 5*s + (0*s + 0*s + 2*s)*(s**2 + 2*s**2 - s**2)). -220*s**4 Expand (-31*g + 851*g - 286*g)*(1 - 3 + 0). -1068*g Expand (2*x**2 - 3*x**2 + 2*x**2)*(1022 - 510 - 512 + 189*x). 189*x**3 Expand (0*r**2 - 3*r**2 + r**2)*(3 - 2 + 1) + (-r + 2*r + 0*r)*(2*r + 0*r + 0*r) - 100*r**2 + 32*r**2 - 15*r**2. -85*r**2 Expand (-4*t + 2*t + 0*t)*((0 - 1 + 0)*(-17 - 6 - 12) + 3 + 3 - 4). -74*t Expand -y**2 + 6*y**2 + 6*y**2 + (y + 2*y + 0*y)*(y + 0*y - 2*y). 8*y**2 Expand o**3 + 3*o**3 - 3*o**3 + (2 + 3*o - 2)*(3*o + 2*o - 6*o)*(36*o - 102*o + 14*o). 157*o**3 Expand (-3*b + 4*b + 5*b - 2*b + 0 + 0 + 1 - 1 - 2*b + (2 - 2 + 2*b)*(1 - 2 + 0) - b - 4*b + 4*b)*(0*b**4 + 3*b**4 - 7*b**4). 4*b**5 Expand (4 + 1 + 2*d - 4)*(1 - 5 + 5)*(-2*d + 1 - 1 + (-2 + 0 + 0)*(-2*d + 2*d - d) + d + 0 + 0). 2*d**2 + d Expand (-3*t + 2*t + 7*t)*(-7*t**2 + 2*t**2 + 3*t**2) + (-5 + 5 + 2*t**2)*(-6*t + 4*t + 4*t). -8*t**3 Expand (-3*w + 0*w + 2*w)*(-600*w**3 + 316*w**3 + 324*w**3). -40*w**4 Expand (104 - 36*y - 104)*(-4*y + 2*y + 4*y)*(y**2 + y**2 + 0*y**2). -144*y**4 Expand (-2*a**3 - a**2 + a**2 + (-2*a**2 - 1 + 1)*(3*a + 0*a - a) - 32*a**3 - 42 + 42)*(-30*a - 30 + 30). 1140*a**4 Expand (151*c**4 - 162*c**4 - 73*c**4)*(-3*c + 0*c + 2*c). 84*c**5 Expand (-1 + 4 - 2)*(9 + 22 - 6)*(3 + 1 - 6)*(3*z**4 + 0*z**4 - z**4). -100*z**4 Expand (-g + 1 - 1)*(4*g**2 + 5*g**2 - 2*g**2) - 6 + 6 - 2*g**3 + g**3 - g**3 + 2*g**3. -7*g**3 Expand (82*t - 82*t + 377*t**4)*(0 - 2*t + 0). -754*t**5 Expand (-2*i**4 - 3*i**2 + 3*i**2)*(6*i - 21*i - 2*i + (0 + 4 - 3)*(5*i - 2*i - 2*i) + 4*i - 10*i - 5*i). 54*i**5 Expand 153*w**2 - 10637 + 10637 + (0*w + 2*w**2 + 0*w)*(1 + 1 - 1). 155*w**2 Expand (0 - 2 + 0)*(-4 - 8 + 9)*((-2*g + 2 - 2)*(3 + 2 - 7) - 1 + 1 - 2*g). 12*g Expand (20*q + 9*q + 6*q + (4 - 1 - 2)*(-2*q + 4*q + 0*q) - 2 + 2*q + 2)*(q + 2 - 2). 39*q**2 Expand 0*d**5 + 3*d**5 - 4*d**5 + (-2*d**4 - d**4 + 4*d**4)*(2*d - d + 2*d)*(-4 + 2 + 1)*(1 + 3 - 37). 98*d**5 Expand (2*x**3 + 3*x**3 - 2*x**3)*(98*x**2 - 5295 + 5295 + 159*x**2). 771*x**5 Expand (5*s**3 - 3*s**3 - 3*s**3)*(-14*s + 4*s - 45*s). 55*s**4 Expand (-2*q**4 - 2*q**4 + 2*q**4)*(0*q + 9*q + 2*q + 4). -22*q**5 - 8*q**4 Expand 58 - 11*j**3 - 2*j - 27 - 32 + (-3*j**2 + 2*j**2 - 4*j**2)*(-2*j + 2 - 2). -j**3 - 2*j - 1 Expand (-460*k**2 - 294*k**2 + 869*k**2)*(k**3 - 4 + 0 + 2). 115*k**5 - 230*k**2 Expand (-v + v + v**4)*(207 + 515 - 151). 571*v**4 Expand (2 + 1 + x**2 - 1)*(-8*x + 14*x + 0*x). 6*x**3 + 12*x Expand ((2*n**2 + 2*n**2 - 6*n**2)*(1 - 1 - 2*n) - 2*n**3 + 4*n**2 - 4*n**2)*(3 + 2 - 6)*(13*n - n + 7*n). -38*n**4 Expand -1 + j**5 + 1 + (-3*j**4 + 2*j**4 - j**4)*(-12*j + 13*j + 7*j + 8). -15*j**5 - 16*j**4 Expand (3*h + 10*h - 3*h)*(-2*h - 4*h + 8*h) + 0*h + 0*h - h**2. 19*h**2 Expand (2*u**3 - 4*u**3 + 7*u**3)*(2*u**2 + 2*u**2 - 3*u**2) - 7*u - u**5 + 7*u. 4*u**5 Expand 5*a**3 + 2*a**3 - 14*a**3 + (a + a**2 - a)*(-5*a - a + 3*a) + 0*a**3 - a**3 - a**3 + 0*a**3 + 4*a**3 + 9*a**3. a**3 Expand (5*g**2 + 1 - 5*g - 10*g**2 + 9*g**2)*(2 + 1 - 1). 8*g**2 - 10*g + 2 Expand (l + l - 3*l)*((-l + l + l)*(-42*l + 26*l + 30*l) - 3*l**2 + 5*l**2 - 3*l**2). -13*l**3 Expand (-h**2 - 2*h**2 + 7*h**2)*(8 - 1 + 4)*(-6*h - 10*h + 6*h). -440*h**3 Expand ((1 - 2 + 0)*(0 - 2 + 1) + (-5 + 2 + 1)*(1 + 10 - 8))*(2*g + 3*g - g). -20*g Expand (u**2 + 2*u**4 - u**2)*(0 + 0 - 2) - u**2 + u**2 + 2*u**4 - 2*u**4 + u - u + 7*u**4 - 3*u**4 - 3*u**4 - 9*u - 12*u + 19*u - 46*u**4. -49*u**4 - 2*u Expand -959*c - 19*c**3 + 959*c + (2*c + 2*c + 2*c)*(0*c**2 + 6*c**2 - 4*c**2). -7*c**3 Expand (87*m + 13 - 10 + 57*m)*(2*m**3 - 2*m**3 - 2*m**3). -288*m**4 - 6*m**3 Expand (2 + 25 + 35)*(-6*v - 3*v + 0*v). -558*v Expand (-3*x + 2*x - x)*(-146 - 217*x + 113*x + 106*x). -4*x**2 + 292*x Expand 0 + 1 + 354*k - 352*k + 0*k - 2*k + k + (3*k - 2*k - 2*k)*(-1 - 2 + 1) + 2*k - 2 + 2. 5*k + 1 Expand 13*d**5 - 14*d**2 + 14*d**2 - 4*d**5 + 25*d**4 - 25*d**4 - d**5 - 3*d**5 + 2*d**5 + (-2 - d**3 + 2)*(-d**2 - 2 + 2). 8*d**5 Expand 1 - 3 - 1 + u**5 + (0*u - 6*u + 3*u)*(u**4 + 2*u**4 - 2*u**4) + u**2 - 2*u**5 - u**2 - 2*u**5 + 0*u**5 - u**5. -7*u**5 - 3 Expand 0*i - 4*i + 5*i + (4 - 3 + 0)*(2 - 2*i - 2) + 2*i + 9*i - 2*i. 8*i Expand (-3*r + r**4 + 3*r)*(25 - 78 - 26 - 54). -133*r**4 Expand (-316*t - 8 + 4 + 302*t)*(-3*t**3 + 3*t**3 - t**4). 14*t**5 + 4*t**4 Expand (35*p - 9*p + 31*p + 5*p + 0*p)*(-17 - 4 + 5). -992*p Expand ((9*y - 5*y + 6*y)*(-2 + 2 - y**3 + (2 + 3 - 6)*(3 - 3 + 2*y**3) + 1 - 1 - 2*y**3 + 0*y**3 - 3*y**3 + y**3) + y**4 + 2*y - 2*y)*(4 + 2 - 3). -207*y**4 Expand (26*a**2 - 2*a**2 - 15*a**2)*(36 - 36 - 9*a**3). -81*a**5 Expand (-858*l - 159*l + 36*l)*(-l**3 + 5*l**3 - 5*l**3). 981*l**4 Expand (5*j - 2*j - 5*j)*(-27 + 2*j - 8*j + 29)*(71*j - 2 + 0 - 73*j). -24*j**3 - 16*j**2 + 8*j Expand (-5*m**3 + 2*m**3 + m**3)*(-m + m - 2*m) + (-19*m**2 + 27 - 27)*(-5*m**2 + 3*m**2 + 0*m**2). 42*m**4 Expand (-1 + 5 + 0)*(812 - 812 - 16*g) + 0*g + g - 2*g. -65*g Expand 2*l**5 - 3*l**4 + 3*l**4 + (616*l**2 - 616*l**2 + 2*l**4)*(-25*l + 11*l - 4 + 15*l). 4*l**5 - 8*l**4 Expand (s - s + s)*(2*s**4 - 5*s**4 + 0*s**4). -3*s**5 Expand (j + 5*j - 4*j)*(j**4 + 2 - 8*j**4 - 2*j**2 + 8*j**4). 2*j**5 - 4*j**3 + 4*j Expand (0*a - a - a)*(0*a**3 + 2*a**3 + 0*a**3) + 326*a**4 + 312*a**4 - 85*a**4. 549*a**4 Exp
{ "pile_set_name": "DM Mathematics" }
e 24 = -g*q + 8. Let o(f) = -3*f**2 - 5*f - 2. Let j(h) = 4*h**2 + 6*h + 1. Let u(z) = 2*j(z) + 3*o(z). Determine u(q). -8 Suppose 20 = -10*f + 5*f. Let r = 0 - f. Let d(k) be the first derivative of -k**2/2 + k + 14. Give d(r). -3 Let y(c) = -c**3 + 3*c**2 - 4*c + 3. Suppose -2*s - 2*b + 10 = 0, -s - b + 13 = 2*b. Suppose 0 = 3*a - 7 + s. Give y(a). -1 Let y(s) = -7*s**2 - 9*s + 13. Let o(l) = -4*l**2 - 4*l + 7. Let i(m) = -5*o(m) + 3*y(m). Calculate i(-6). 10 Let c(j) be the third derivative of 1/24*j**4 + 0*j + 3*j**2 - j**3 + 0. What is c(-6)? -12 Let i(p) = -p**2 - 2*p - 1. Suppose k = 4*n + 7 + 10, -3*n - 4 = k. Determine i(n). -4 Suppose -2*z = 5*h + 18, -18 = 4*z - 3*h + 4*h. Let k(j) = 2*j**2 + 5*j - 2. What is k(z)? 10 Let r = -2 + 5. Let u be (-2)/(-5) + r/5. Let p(z) = 2 + u - 2 + 7*z. What is p(1)? 8 Suppose 3*h - i + 46 = 0, 2*i + 0 = -4. Let x = h - -10. Let r(l) = -3*l - 9. Determine r(x). 9 Let u(g) = -86*g - 85*g + 3 + 170*g. Calculate u(-3). 6 Let y(j) = j**2 - 2*j. Let o be (2/(-6))/((-2)/(-18)). Let a be (0 - o/3) + 3. Determine y(a). 8 Let y = 3 - 0. Let j(u) be the second derivative of -u**4/12 + 2*u**3/3 + u**2/2 - 5*u - 1. What is j(y)? 4 Let h(b) = -1. Let k(d) = -2 - 2*d + d - 9. Let q be (15/(-6))/(5/10). Let f(l) = q*h(l) + k(l). Give f(5). -11 Let p(f) = f**3 - 7*f**2 + 7*f - 7. Suppose -3 = 4*n - 27. Determine p(n). -1 Let b(v) be the first derivative of v**4/4 - 4*v**3/3 + v**2/2 + 3*v + 2. Let f be (1 - -7)/(-2) + -23 + 31. Calculate b(f). 7 Let p(q) = q**3 + 2*q**2 - 5*q - 4. Let u = -5 + 2. Calculate p(u). 2 Suppose -1 = -0*j - j. Let n(d) be the first derivative of 3 + 5/3*d**3 + 0*d**2 + 0*d. Calculate n(j). 5 Let h be (-2)/(-1)*(-6 + 4). Let z(n) = n**3 + 5*n**2 + 5*n + 1. Calculate z(h). -3 Let m(b) = -1 - 15*b + 12*b + 4*b + 5*b. Let n = -4 - -5. Determine m(n). 5 Let f(d) = -d**3 - 3*d**2 - 2*d - 3. Let u be (0 + (0 - -1))*-3. Let g = u - -3. Let p = -2 - g. Determine f(p). -3 Suppose 19 = -3*r - 5*a, 0 = -3*r + 5*a + 13 + 18. Let u(g) = r*g + 15 - 10 + 2*g - g. Determine u(-4). -7 Let v(h) = -h**2 + h + 1. Suppose -5*i + 2*i - 2*x + 42 = 0, 2*x = 2*i - 18. Let q = i - 15. What is v(q)? -11 Let t(o) = -o**3 + 8*o**2 - 6*o - 8. Let g be (-6)/(-4) + (-11)/(-2). Determine t(g). -1 Let a be (0*2/(-4))/2. Let f be 7*1 + 1/(-1). Let h(m) = -2*m**2 - 9*m - 1. Let o(b) = b**2 + 5*b. Let d(z) = f*h(z) + 11*o(z). Calculate d(a). -6 Let r(i) = -i**3 - 4*i**2 - i - 1. Let l = -25 + 22. Calculate r(l). -7 Let k(x) = -4*x - 8. Let i(c) = -3*c - 7. Let o(g) = -7*i(g) + 6*k(g). Calculate o(-1). 4 Let c(k) be the second derivative of k**5/60 + k**4/24 - k**3 + 3*k. Let l(h) be the second derivative of c(h). Calculate l(-2). -3 Let y(k) = k**3 + 6*k**2 + k. Let h = -13 - 1. Let a = h - -10. Let l = a + -2. Calculate y(l). -6 Suppose -2*x = -34 + 16. Let f(p) = p - 6. Determine f(x). 3 Suppose 3*y + 5*f + 4 = 0, 0 = 2*y - f - f + 8. Let i(d) = -d**2 + 8*d - 4. Let z(n) = n**2 - 7*n + 4. Let m(l) = y*i(l) - 4*z(l). Calculate m(3). -1 Let o(r) = -r. Let j(f) be the third derivative of 5*f**4/24 - 4*f**3/3 - 2*f**2. Let u(z) = -j(z) - 6*o(z). What is u(-7)? 1 Let p(k) = -k**3 - 4*k**2 - 2*k - 1. Suppose 14*n - 10*n = -16. Calculate p(n). 7 Let i(m) = -m**3 - 9*m**2 - 2. Let v be i(-9). Let p be (-114)/(-27) + v/9. Suppose 0 = o + p*o. Let h(u) = u**2 - u + 5. Give h(o). 5 Let t(y) = 2*y**2 - 65*y + 4 + 31*y + 34*y. What is t(3)? 22 Let y(b) = b + 10. Let q(a) = 8*a**3 + 0*a**2 + 3*a**2 - 5*a**2 - 9*a**3 + 3*a. Let o be q(-3). Give y(o). 10 Let k(d) = d**3 + 4*d**2 + d + 3. Let f = 68 + -48. Let u = -14 + f. Suppose u*c + 20 = c. Determine k(c). -1 Let r(d) = -2*d + 7. Let g(x) = 9*x + 2. Let p be g(1). Let j(t) = -t**3 + 2*t**2 + t. Let k be j(3). Let s = p + k. Determine r(s). -3 Let b(s) = s**3 - s**2 + 2*s. Let v(l) = l**2 + 2*l - 2. Let f be v(0). Give b(f). -16 Let b(h) = -5*h. Let d = -2 + 5. What is b(d)? -15 Let h(q) = -2*q - 1. Suppose -2*a + 0*n + 20 = 4*n, 0 = -2*a - 2*n + 12. Suppose 5*p - a = 3*p. Determine h(p). -3 Let d(z) = 14*z**2 - 15*z - 20. Let t(i) = 5*i**2 - 5*i - 7. Let s(g) = -6*d(g) + 17*t(g). Give s(-5). 1 Let y(u) = 8*u. Let h(v) = -v**3 + 3*v**2 - 5*v + 5. Suppose -3*d - 6 = 3*b, -b = -2*d + 5*d + 10. Let m be h(b). Calculate y(m). -8 Suppose 4*c - 20 = -2*l, -36 = -4*l + c + 4. Let s(u) = 4*u**2 - l*u**2 - 5 + 4. Give s(1). -7 Suppose 0 = 6*k - 4*k + 12. Let o(f) = 3*f. Give o(k). -18 Let w = -17 + 21. Let u(k) = -4 - k**3 + w + 0*k + k - 5*k**2 + 4. Let y = -9 - -4. Give u(y). -1 Suppose -26 = -11*s + 40. Let x(h) = -8 + 4*h + h - 3*h. Determine x(s). 4 Let n(m) = m**3 + 4*m + 10*m**2 - 4 + 0*m**3 - 4*m**2. Calculate n(-5). 1 Let o(g) = -g**3 + 3*g**2 + g. Let a(u) = -u - 9. Let d be a(-10). Suppose 3*s = -2*y + 4*s - d, 17 = -4*y + 5*s. Give o(y). 6 Let c(d) = d**3 - 4*d**2 + 2*d - 4. Suppose p + 0*p - 5 = 5*y, -15 = -5*y + 5*p. Let s(g) = g**2 - g - 2. Let t be s(y). Determine c(t). 4 Let l(q) be the second derivative of 1/60*q**5 + 0 + 0*q**4 - 1/6*q**3 + 0*q**2 + q. Let n(v) be the second derivative of l(v). Calculate n(3). 6 Let s(m) = -m**2 + 9*m + 13. Let b be s(10). Let g(x) = 5*x**2 + 7 - 2*x - 1 - 2*x**b + x**3. Suppose 11 = 4*o - 9. What is g(o)? -4 Let j(x) = -x + 8. Let m be j(4). Let d(n) be the third derivative of 0*n - n**2 + 0 + 1/12*n**m - 2/3*n**3. Calculate d(4). 4 Let q(n) = 10 + n + n**3 + 17*n**2 - 17*n**2. Let j(w) be the second derivative of -w**4/12 + 2*w**3/3 - w. Let s be j(4). What is q(s)? 10 Let p(h) = 12*h - h**3 + 5*h**2 - 9*h**2 + 4 - 10*h. What is p(-4)? -4 Let p(r) = -r - 4. Let i(j) = j**3 - 5*j**2 + 4*j - 6. Let x(f) = -f**3 + 8*f**2 - 6*f - 3. Suppose 19 = 3*b - 2. Let d be x(b). Let h be i(d). What is p(h)? 2 Suppose 0 = -5*v - 5*g - 135, -5*g + 15 + 34 = -3*v. Let u = v + 26. Let i(j) = j + 1. Calculate i(u). 4 Let c = 46 + -51. Let f(m) = m - 5. Give f(c). -10 Let m = -1 + 1. Let g(o) = -2*o + 2 + o**2 + m*o**2 - o. Let j(y) = -y**3 + 6*y**2 - 5*y + 3. Let d be j(5). What is g(d)? 2 Suppose -5*n + 3 = -3*w + 13, 3*n = 4*w - 17. Let j = -9 + w. Let a(t) = t**2 + 7*t + 6. What is a(j)? -6 Suppose -3*d - 2*d - 10 = 0. Let l(p) be the first derivative of -p**4/4 - p + 10. Give l(d). 7 Let a(p) = 20*p**3 - 7*p**2 - 3*p - 4. Let s(w) = 13*w**3 - 5*w**2 - 2*w - 3. Let f(u) = -5*a(u) + 7*s(u). Suppose -n + 6*n - 3 = -2*i, i = -n. Give f(n). -9 Let m(r) = 4*r**2 + 6*r - 8. Let f(d) = -3*d**2 - 6*d + 7. Let q(k) = -5*f(k) - 4*m(k). Suppose 26*s - 155 = -5*s. What is q(s)? 2 Let w(d) = 4*d**2 + 3*d - 4. Let f(o) = -3*o**2 - 4*o + 5. Let l(z) = -3*f(z) - 4*w(z). What is l(1)? -6 Let k be 0*(9/(-6))/3. Let o(j) be the second derivative of -j**3/6 + 5*j**2/2 + j. Calculate o(k). 5 Let c(w) = -7*w**3 - w**2 + 9*w - 4. Let p(a) = -4*a**3 + 5*a - 2. Let o(z) = -3*c(z) + 5*p(z). What is o(-4)? -6 Suppose -2*m = -5*o - 32, -o = -m + 4 - 0. Let f(t) = -t**2 - 9*t - 2. What is f(o)? 6 Let w(i) be the second derivative of i**5/20 - i**4/2 + i**3/6 + 5*i**2/2 + 19*i. What is w(6)? 11 Let h(t) = 5*t - 19. Let c(u) = -3*u + 10. Let i(w) = -7*c(w) - 4*h(w). Determine i(0). 6 Let n = -54 + 51. Let l(m) = m**2 + 3*m. Calculate l(n). 0 Let i(s) = -s**3 + 6*s**2 - 5*s + 3. Let q be i(5). Let g(k) = 2*k - 1. Give g(q). 5 Let t(f) = 6*f + 4. Let x(b) = 7*b + 5. Let h(c) = 6*t(c) - 5*x(c). Determine h(3). 2 Let l(n) = n**2 + 5*n + 3. Suppose -u - 7 = 2*z, -4 = u + u - z. What is l(u)? -3 Let q(g) = -4*g - 7*g + 5*g + g**2 - 6 + 0. Determine q(6). -6 Let p(x) = x**2 + 3*x - 5. Suppose 3*m - 8 = -m. Suppose 2*v - 4*v = -6. Suppose 0 = -v*l + 3, -3*i = m*i - 4*l + 24. Calculate p(i). -1 Let v(b) = b**2 + 7*b + 12. Let s be v(-6). Let w(u) = u - 5. Give w(s). 1 Let j be 5/(5 + 0) - (0 + 2). Let a(n) = 2*n + 1 - 2*n**2 - 3*n + n**2. Let u(p) = -10*p**2 - 4*p + 3. Let l(x) = 3*a(x) - u(x). What is l(j)? 6 Let l(f) = 3*f + 45. Let q(z) = -3. Let s(h) = 2*l(h) + 30*q(h). Let d(n) = n**2 - 5*n - 7. Let b be d(6). Calculate s(b). -6 Let o(s) be the second derivative of -s**5/20 + s**3/6 - 13*s**2/2 + 4*s. Determine o(0). -13 Let r(o) = -o**3 - o**2 - 7*o + 1. Let j(q) = q**3 + q**2 + q + 1. Let s(y) = 2*j(y) + r(y). Calculate s(3). 24 Let f(n) = -3*n**3 - n**2 - n - 1. Let z be f(-1). Let o(
{ "pile_set_name": "DM Mathematics" }
usands digit of 74489? 7 What is the tens digit of 27248? 4 What is the units digit of 42518? 8 What is the thousands digit of 11408? 1 What is the tens digit of 134251? 5 What is the units digit of 4291? 1 What is the tens digit of 353? 5 What is the thousands digit of 5024? 5 What is the units digit of 280? 0 What is the hundreds digit of 16884? 8 What is the tens digit of 3247? 4 What is the tens digit of 25560? 6 What is the hundreds digit of 75203? 2 What is the units digit of 18583? 3 What is the ten thousands digit of 12692? 1 What is the tens digit of 9189? 8 What is the tens digit of 693? 9 What is the tens digit of 3047? 4 What is the ten thousands digit of 19262? 1 What is the thousands digit of 3940? 3 What is the thousands digit of 158256? 8 What is the tens digit of 5857? 5 What is the ten thousands digit of 126130? 2 What is the hundreds digit of 64495? 4 What is the hundreds digit of 2314? 3 What is the tens digit of 61705? 0 What is the units digit of 545? 5 What is the tens digit of 211? 1 What is the units digit of 95? 5 What is the units digit of 952? 2 What is the units digit of 25196? 6 What is the thousands digit of 63491? 3 What is the hundreds digit of 3702? 7 What is the ten thousands digit of 40290? 4 What is the hundreds digit of 1103? 1 What is the hundreds digit of 21158? 1 What is the hundreds digit of 140553? 5 What is the tens digit of 1233? 3 What is the hundreds digit of 34387? 3 What is the hundreds digit of 34884? 8 What is the thousands digit of 4800? 4 What is the units digit of 588? 8 What is the tens digit of 14345? 4 What is the tens digit of 75298? 9 What is the tens digit of 2498? 9 What is the tens digit of 49755? 5 What is the thousands digit of 17937? 7 What is the hundreds digit of 707? 7 What is the hundreds digit of 3739? 7 What is the tens digit of 8339? 3 What is the units digit of 622? 2 What is the hundreds digit of 434? 4 What is the hundreds digit of 74412? 4 What is the hundreds digit of 645? 6 What is the units digit of 17995? 5 What is the tens digit of 2324? 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9 What is the tens digit of 21681? 8 What is the ten thousands digit of 11732? 1 What is the thousands digit of 3174? 3 What is the hundreds digit of 15473? 4 What is the tens digit of 4727? 2 What is the tens digit of 90414? 1 What is the thousands digit of 1792? 1 What is the tens digit of 6163? 6 What is the tens digit of 40? 4 What is the tens digit of 1263? 6 What is the tens digit of 27087? 8 What is the units digit of 1748? 8 What is the tens digit of 888? 8 What is the hundreds digit of 1431? 4 What is the tens digit of 5049? 4 What is the thousands digit of 12547? 2 What is the tens digit of 181? 8 What is the hundreds digit of 2501? 5 What is the units digit of 168577? 7 What is the thousands digit of 1370? 1 What is the units digit of 1531? 1 What is the units digit of 9827? 7 What is the units digit of 160785? 5 What is the tens digit of 727? 2 What is the units digit of 22245? 5 What is the units digit of 16149? 9 What is the hundreds digit of 133? 1 What is the units digit of 12899? 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4 What is the units digit of 3655? 5 What is the hundreds digit of 1882? 8 What is the thousands digit of 1278? 1 What is the thousands digit of 4926? 4 What is the thousands digit of 2921? 2 What is the thousands digit of 47667? 7 What is the units digit of 91566? 6 What is the tens digit of 4714? 1 What is the thousands digit of 45441? 5 What is the thousands digit of 26089? 6 What is the units digit of 25813? 3 What is the units digit of 9270? 0 What is the tens digit of 542? 4 What is the units digit of 962? 2 What is the tens digit of 1421? 2 What is the units digit of 3095? 5 What is the units digit of 995? 5 What is the thousands digit of 13679? 3 What is the tens digit of 8787? 8 What is the thousands digit of 1443? 1 What is the hundreds digit of 9202? 2 What is the thousands digit of 106002? 6 What is the hundreds digit of 150? 1 What is the hundreds digit of 598? 5 What is the tens digit of 1100? 0 What is the thousands digit of 2335? 2 What is the tens digit of 661? 6 What is the tens digit of 1538? 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6 What is the hundreds digit of 444? 4 What is the tens digit of 4624? 2 What is the thousands digit of 11466? 1 What is the hundreds digit of 24611? 6 What is the tens digit of 3672? 7 What is the hundreds digit of 421? 4 What is the hundreds digit of 1909? 9 What is the hundreds digit of 15370? 3 What is the thousands digit of 1962? 1 What is the tens digit of 63? 6 What is the tens digit of 3427? 2 What is the tens digit of 1754? 5 What is the tens digit of 3962? 6 What is the units digit of 4251? 1 What is the hundreds digit of 2319? 3 What is the tens digit of 18114? 1 What is the hundreds digit of 798? 7 What is the hundreds digit of 3145? 1 What is the units digit of 471? 1 What is the units digit of 17531? 1 What is the hundreds digit of 3162? 1 What is the thousands digit of 1272? 1 What is the thousands digit of 2188? 2 What is the units digit of 233? 3 What is the tens digit of 33251? 5 What is the ten thousands digit of 34219? 3 What is the hundreds digit of 995? 9 What is the thousands digit of 2394? 2 What is the te
{ "pile_set_name": "DM Mathematics" }
t h = -8 - -11. Let k = h + 66. Is k a prime number? False Let a = -171 - -392. Is a a composite number? True Let p be (10/(-6))/((-2)/6). Let t be 243/p + (-8)/(-20). Suppose 2*g = g + t. Is g prime? False Let z(n) = n**3 + 3*n**2 + 15*n + 5. Let v(f) = f**2 - f. Let x(c) = -6*v(c) - z(c). Let j be x(-8). Is (j - 0) + -2 - -14 composite? True Suppose 0 = 3*g + g + 8. Suppose 4*u - 9 = t + 4*t, 2*t + 5 = 3*u. Is u - 62*-1 - g a composite number? True Suppose -t + 3 = 4. Let w = 3 + t. Suppose 5*b + m - 164 = w*b, -161 = -3*b - 4*m. Is b a composite number? True Suppose 3*x - 6 - 3 = 0. Suppose 12 = x*d - 5*d - v, -3*d = 4*v + 28. Is (d/5)/(2/(-25)) composite? True Suppose 1236 = n - 1927. Is n a prime number? True Suppose 2*v + 18 = -0*v. Let p = -4 - v. Suppose p*h - 218 = 17. Is h prime? True Suppose -4*p - r = -17 - 0, -5*r = 2*p - 13. Suppose 5*u = 3*m - 4*m + 45, p*m = -2*u. Suppose 2*a + n = u, 3*a - 8*a + 2*n = -34. Is a prime? False Suppose 4*z + 241 = 5*d, 0*z - 3*z = 2*d - 101. Is d prime? False Let v = 21 + -15. Is 28/v*(-351)/(-18) prime? False Let h(n) = 13*n**3 + 2*n**2 - 7*n + 3. Is h(4) a composite number? False Let g(n) = n**3 + 12*n**2 - 19*n + 1. Is g(-11) a prime number? True Suppose c + c = 378. Let o = c + -120. Is o composite? True Suppose -7756 = -17*u + 13*u. Is u a prime number? False Let k be (-6)/(-4)*(-10 - 2). Is (-7142)/k - (-16)/72 a composite number? False Suppose -2 + 3 = -l. Let f be -3 - (7 + -2)/l. Suppose 0 = -7*b + f*b + 635. Is b composite? False Suppose -n + 115 = 3*o - 13, 4*n + 3*o = 530. Is n prime? False Let n(c) be the first derivative of 3*c**4/4 - 2*c**3/3 - 3*c**2/2 + 1. Let p be n(5). Is -3*(p/(-6))/5 composite? False Let p = 378 + -218. Let i = 291 + p. Is i composite? True Is ((-86)/5)/((-28)/70) prime? True Let p(d) = d + d**2 - 2*d + 4 + 5*d. Is p(-9) prime? False Is ((-2 - 66) + -3)/(-1) composite? False Let b = -3 - -5. Suppose -5*d + u = -475, 380 = 2*d + b*d - u. Is d a composite number? True Suppose 26 = -4*r + 3*r. Let x be 2/(-4) + r/4. Let l(c) = -c**2 - 13*c - 5. Is l(x) prime? True Let k(f) = -4*f**3 + 2*f**2 - f + 2. Is k(-3) prime? True Suppose -29*f + 2828 = -25*f. Is f prime? False Suppose -m + 6*m = -3*l + 4, -12 = -4*m + 2*l. Suppose -5*d - m*v + 827 + 282 = 0, -663 = -3*d - 2*v. Is d a prime number? True Let t be (-26 + -2)*3/(-2). Suppose f = -2*f + t. Let s = f - 7. Is s prime? True Suppose 3*a = -5*i + 2032, 0*i - i + 410 = -3*a. Is i a composite number? True Let k = -504 - -1064. Suppose -3*n - 77 = -k. Is n a prime number? False Suppose -4*k + k + 1065 = 0. Suppose -3*i = y - 0*y - 213, -y = -5*i + k. Is i prime? True Let q(f) = -f**3 + 5*f**2 - 3*f - 3. Let b be q(4). Let r(h) = -b - 2*h**2 - 4*h + 9*h**2 + 0*h**2 - h**3. Is r(6) prime? True Let m(i) be the first derivative of 0 - 2*i**2 - 4*i**2 + 1 - 5*i. Is m(-6) a prime number? True Let k(z) = 242*z**2 - 5. Is k(3) a composite number? True Let m(v) = v**3 - 3*v**2 - 4*v - 4. Let i be m(4). Let k = i + 15. Is k a composite number? False Let i(a) = -20*a - 5. Let w be i(-5). Let b = -4 + 4. Suppose b = 4*p - w + 3. Is p prime? True Let n(h) = -19*h - 6. Let x be n(5). Let t = -56 - x. Suppose -5*i = -t + 15. Is i a composite number? True Suppose 7*f = 4*f. Let d be ((3 - 2)*f)/2. Suppose 4*m + 9 - 109 = d. Is m a prime number? False Let x = 8 - 6. Suppose -o - 788 = -2*i + 716, -5*o = 2*i + 7580. Is o/(-22) - x/(-11) prime? False Suppose -20 - 6 = -v. Is v composite? True Let o = -375 - -544. Is o prime? False Let o(u) be the first derivative of u**3/3 - 8*u - 1. Is o(11) a composite number? False Is (2/(-4))/((-2)/1676) a composite number? False Suppose -5*s + 10 = -0. Let w be (23/(-2) + s)*-10. Suppose -b + 4*b = -3*o + 174, 5*o + w = 2*b. Is b a composite number? True Let z(x) = 5*x. Let n be z(1). Suppose 0*q - q = j - 7, 23 = -j + n*q. Suppose -v = -j*v + 34. Is v a composite number? True Let g = -27 - -238. Is g a composite number? False Let n(v) = 9*v + 2. Let r(l) = 3*l + 1. Let c(h) = 4*n(h) - 11*r(h). Let s be c(4). Suppose 3*j = q + 41, -5*q + s = j - 10. Is j a composite number? True Suppose -3*m - 10 - 131 = 0. Suppose n = 3*n + 5*f - 117, f = -n + 63. Let s = m + n. Is s composite? False Let s(t) = 22*t + 1. Let c(q) = -q**3 - 8*q**2 + 5. Let o be c(-8). Is s(o) composite? True Let q(i) = -4*i**2 + 0*i - 3*i + 3*i**2 + 2*i**2 + 2. Let k be q(3). Let h = k + 35. Is h prime? True Is (251 + 0)*(-5 - -6) composite? False Let p(m) = m**3 - 4*m**2 - 4*m + 1. Let j be p(5). Is ((-8)/j)/(8/(-156)) prime? False Suppose -v + 22 = 3. Is v prime? True Let b be 1 - (3 + (-2 - 0)). Suppose b = 2*v - 9 - 5. Is v composite? False Let g be (-3)/3 - 1*-5. Suppose 2*b - 3*b = 2*c - g, 3*b - 40 = c. Suppose 4*j = b, v - 6*j = -3*j + 46. Is v a composite number? True Let a = -1004 - -1721. Is a prime? False Let y(r) = -480*r - 1. Is y(-1) a prime number? True Let n be 0/(-2*(-1)/(-2)). Suppose x + 4*x - 530 = n. Is x composite? True Let l(q) = -7*q**2 - 9*q + 25. Let h(i) = -4*i**2 - 5*i + 13. Let p(r) = 5*h(r) - 3*l(r). Let t be p(-12). Is 1/(t/(-37) + 3) a composite number? False Let f be 4/(-14) + 428/28. Let w be 1 - -2*f/6. Let s = w + 13. Is s composite? False Let m be (-668)/(-5) + 2/5. Suppose h + m = 3*h. Is h a prime number? True Let x = -2910 - -4283. Is x composite? False Suppose -6*n = -3*n - 6. Is 2/(n/102*2) prime? False Is (18 - 17)*(74/(-2))/(-1) prime? True Let x(f) = -f**2 - 2*f - 2. Let m be x(-3). Is 1 + 2 - (m - 194) a prime number? False Let j be ((-3)/9)/(2/6). Let c(q) = -58*q**3 - 1. Is c(j) a composite number? True Let d(a) = 2*a**3 + a**2 - 17*a - 7. Is d(6) a composite number? False Let a(u) = 8*u**3 + 2*u**2 + 2*u + 1. Let n be a(-1). Is (-3175)/(-35) - 2/n composite? True Let l be -2*2/(-6)*138. Suppose 0*n = 4*n - l. Is n a prime number? True Let o = -200 + 465. Is o a composite number? True Let y(m) = m**3 - 6*m**2 + 7*m - 5. Is y(7) a prime number? False Is 60 + -4 + (-5 - -2) composite? False Let b(j) = j**3 - 4*j - 7. Let o be b(-5). Let c = 189 + o. Is c prime? False Suppose -4*y - 5*i + 694 = 0, -4*y + i + i = -680. Let d = y - 109. Is d a composite number? True Suppose -3*s + 10 = -s. Let f be (4 - 1)*s/5. Suppose 71 - 1 = 2*i - 2*a, f*a - 159 = -5*i. Is i a prime number? False Suppose 5*v + 3*q - 13 = 0, 2*v + 5*q + 0*q = 9. Suppose -v = j - 5. Suppose -316 = -j*d - d. Is d a composite number? False Let t = 0 + 36. Suppose 4*b - 2*q = -t, 5*b + 2*q = 3*b - 6. Let u(a) = -a**3 - 7*a**2 - 4*a + 7. Is u(b) prime? False Suppose 119 = 2*c - 71. Is c a composite number? True Suppose c + 0*c + 79 = 5*w, 5*w - 71 = -c. Let k = w + -9. Let q(s) = 3*s - 7. Is q(k) a prime number? True Let s = -291 - -762. Let n = s + -288. Is n a prime number? False Let a(w) = 5*w**2 + 6*w + 1. Let p be a(-6). Suppose -p = -q - 0*q. Is q a composite number? True Let a(c) = 499*c**3 - c**2 + 1. Is a(1) a prime number? True Let q = -82 - -142. Suppose -q = -5*g + g. Is g prime? False Is 3/((-12)/8596)*-1 prime? False Suppose 2*r + 12 + 2 = 0. Let f(q) = q**2 - 6*q + 3. Is f(r) prime? False Let c(n) = -n**2 - n + 8. Let y be c(0). Suppose y*k = 3*k + 2355. Let x = k + -268. Is x prime? False Let l be (-70)/(-9) - 2/(-9). Let f = 5 - l. Is 2/f*-15 - 0 composite? True Let t(b) = 1 + b + 3*b**2 + 4*b**2 - 3*b**2. Is t(2) composite? False Let m be (-3)/(-18) + 268/(-24). Let b = 73 + m. Is b prime? False Let u(g) = -g**2 - 2*g + 3. Let x be u(-3). Is 79 - (x + -2 + 2) a composite number? False Suppose 7*k = 2*k + 1100. Suppose k = q + 3*q. Is q composite? True Let f(a) = a**3 - 8*a**2 + 7*a - 8. Let k be f(7). Let s be k/(-6)*(-6)/(-4). Suppose 0 = y - s*y + 19. Is y a composite number? False Is 101/(-2)*(-72)/12 a prime number? False Suppose -6*p = 4*q - 2*p - 48, -q + 27 = -2*p. Let n = q + 16. Is n composite? True Let t be (12/15)/((-4)/(-10)). Suppose 0 = 3*x + t*x - 2*g - 99, 0 = -4*x - g + 87. Is x prime? False Suppose 3*l + 24 = 7*l. Let x(g) be the second derivative of 2*g**3/3 - 3*g**2/2 + g. Is x(l) composite? True Let b be 9/3 + 98 + -1. Let o be 699/(-21) - 4/(-14). Let d = b + o. Is d a composite number? False Let c = 109 + -5. Suppose -4*p + c + 44 = 0. Is p a composite number? False Let i(y) = 32
{ "pile_set_name": "DM Mathematics" }
t h be c(k). Put -0.2, h, -3 in decreasing order. h, -0.2, -3 Let l = 3.2 + -3. Sort 0.1, l, -0.5 in descending order. l, 0.1, -0.5 Let t = 161 - 165.05. Let d = t - -0.05. Put 0.5, d, 0.4 in decreasing order. 0.5, 0.4, d Let v = -36 - -36. Let y = 125/4 - 32. Sort -4, v, y in ascending order. -4, y, v Let n(i) = -23*i**3 + 2*i**2 + i. Suppose 2*x = x - 1. Let u be n(x). Suppose -5*s = -u + 4. Sort s, 0.4, -1 in descending order. s, 0.4, -1 Suppose -3*y - 7 = 3*k + 8, 0 = -3*y + k - 11. Sort -1, y, 1 in decreasing order. 1, -1, y Suppose 0 = 5*p - 3*w - 26, p + 1 + 1 = 3*w. Put 3, p, 5 in ascending order. 3, 5, p Suppose 5*m - 5*r - 40 = 0, 18 = 2*m + 4*r - 8*r. Put m, 1, 0.5, -5 in descending order. m, 1, 0.5, -5 Let w = 3.6 + -2.3. Let f = w - 6.3. Sort 2/9, f, -0.2 in ascending order. f, -0.2, 2/9 Let w be 1 - -1*(-2 + 3). Suppose -5*i + 5*l = w*l + 22, -2*l - 27 = 5*i. Put -3, 4, i in ascending order. i, -3, 4 Let c = 101 - 98. Put -3, c, -0.3 in descending order. c, -0.3, -3 Let n be (-198)/(-30) - (-6)/(-10). Let p = 2 - n. Let y(t) = -t + 1. Let r be y(-3). Put r, 1, p in decreasing order. r, 1, p Suppose 4*r = 2*a - 32, 4*r - 3*r = -4. Let u = a - 7. Let h be u + 0 - (-1 + 0). Sort -4, 1, h. -4, 1, h Let w be 10/75 + -3 + (-86)/(-30). Sort 1, -25, w. -25, w, 1 Suppose 5 = 2*s - 5*t, 0 = -3*s - 5*t - 5 - 0. Sort s, -5, 5 in descending order. 5, s, -5 Suppose -2*h + 3*z + 9 = -5*h, -z - 9 = -2*h. Let l(c) = -c**3 + 3*c**2 + 6*c - 3. Let r = 24 - 20. Let i be l(r). Put i, h, -4 in descending order. i, h, -4 Let r(s) = s**3 + s**2 - s + 1. Let f be r(0). Let l be (-4)/(-20) + (-67)/385. Let k = l - -9/77. Sort 2, f, k in decreasing order. 2, f, k Let l = 93/8 + -1969/168. Let t = 8 - 12. Put l, t, -2/5 in descending order. l, -2/5, t Suppose 3*d + 6 = 3*y, y - 11 = -4*d + 1. Let g = -1 + 8. Suppose 4*w - 9 = g. Sort d, 3, w. d, 3, w Suppose -4*r + 14 = -5*a, 2*a - 2*r - 4 = -8. Let i(q) = q**2 + 5*q - 4. Let n be i(a). Let x = -0.5 + 0.7. Sort n, -1/4, x in decreasing order. n, x, -1/4 Let h = 15 + -19. Put h, 1, -0.4 in decreasing order. 1, -0.4, h Let g = 0.1 - 7.1. Let f = 16.5 + g. Let m = f - 9. Sort 5, 2/5, m in descending order. 5, m, 2/5 Let j = 0.4 + 0. Let v = -93 + 88. Put j, 0.5, v in decreasing order. 0.5, j, v Let g(i) = i - 10. Let h be g(10). Sort -3, h, 5 in decreasing order. 5, h, -3 Let d = 12 + -7. Suppose -3*m = -4*m - 7. Let o be 3 + m/((-28)/(-24)). Sort -5, o, d. -5, o, d Let f = -5 + 5. Let q be 32/12*3/(-2). Let c = 2 + -3. Put q, c, f in ascending order. q, c, f Let w = 45 - 181/4. Sort -3, 1/5, w. -3, w, 1/5 Suppose 0 = -19*t + 16*t. Sort t, -1, -2 in ascending order. -2, -1, t Let b(h) = -h + 9. Let n be b(11). Let l be -1 + (n + 4)/1. Sort 2, 4, l in increasing order. l, 2, 4 Let v = 2.4 + -2. Let f = 4 - 3.7. Let c = -5.3 + f. Put v, -2, c in decreasing order. v, -2, c Let j be -3 - (0 + 1)*-4. Sort 0, j, -3, -5 in decreasing order. j, 0, -3, -5 Let t = -2/109 - 196/1199. Put 2, -4, t in decreasing order. 2, t, -4 Suppose 0*s + 2*s = 0. Suppose s = -2*b - g + 7, 2*b = -b + 5*g + 30. Suppose 3*q - 5*h - 13 = 0, -4*q - 4 = -3*h - 3. Sort q, -3, b in increasing order. q, -3, b Let j = 0.042 + 0.158. Sort -9, -5, -0.2, j. -9, -5, -0.2, j Suppose -12 = 4*k - 4*s, -2*s + 6 = -0*k + 5*k. Let o = -11 + 13. Sort -2, k, o in decreasing order. o, k, -2 Suppose 3*n + v - 1 = 0, 2*n + 16 = -3*v - v. Sort n, -3, 4. -3, n, 4 Let p = -2 + 7. Let i be (-1 - 3/(-3))/2. Sort i, p, 13 in ascending order. i, p, 13 Let c = -596/4043 - 2/311. Let y = 3.2 + -3.3. Sort 0, y, c in ascending order. c, y, 0 Suppose -3*o + 5 = -2*o. Suppose -8 = 4*t + o*q + 3, 7 = t - 2*q. Suppose v = 3*v + 8. Sort -5, v, t in increasing order. -5, v, t Let h = -16 - -11. Let a be 1 - (3 + -2) - -19. Suppose -4*p = 5*k - 32, -k = 6*p - p - a. Sort h, -3, p. h, -3, p Let l be 6/(-4)*2/(-3). Let d = l - 5. Sort -2, 1, d. d, -2, 1 Let u = 28 - 28.1. Sort 2, -4, u in descending order. 2, u, -4 Let u = -5 - -2. Sort -6, u, 5 in increasing order. -6, u, 5 Let w = -3 - -4. Suppose 0 = q - 2*v - 8, 0 = -q - v + 24 - 1. Suppose f + 9 = -4*t, -3*f + q = -f - 4*t. Sort -2, f, w in ascending order. -2, w, f Let x = 26 + -20.4. Let m = -6 + x. Let o = -0.3 + 0.8. Sort m, o, -5 in increasing order. -5, m, o Suppose 2*a + 5 = k - 2*a, 5*k - 25 = -a. Sort k, -6, -5 in decreasing order. k, -5, -6 Suppose 0*c - c = 0. Let l(i) = -i**3 - 2*i**2 - 2*i - 1. Let m = 4 + -6. Let b be l(m). Sort 5, b, c in descending order. 5, b, c Let v(j) = j**3 - 5*j**2 - 3. Let l be v(5). Let a = -59 + 61. Sort l, a, 3 in descending order. 3, a, l Let n = 793/526 - 2/263. Let b = -0.5 + 0.4. Sort b, n, 4 in decreasing order. 4, n, b Let t be -2 + -1 + (1 - -2). Sort t, -4, 1 in ascending order. -4, t, 1 Suppose -2*x - 2*n - 6 = -n, 2 = n. Sort x, 4, -5 in increasing order. -5, x, 4 Let n(q) = 4*q + 27. Let m be n(-7). Sort m, -3, 13 in increasing order. -3, m, 13 Let s(g) = -g**3 + 48*g**2 - 94*g + 88. Let c be s(46). Let u be ((3 - -1)/(-1))/(-2). Sort 2/3, c, u in decreasing order. u, 2/3, c Let d be 5/(10/(-2)) + (-10)/(-7). Sort d, 3/2, 5, 5/4 in ascending order. d, 5/4, 3/2, 5 Let i = -125436 + 1250673/10. Let y = -4873/10 - i. Let r = -119 - y. Sort 2, r, -5 in ascending order. -5, r, 2 Let p = 17 - 21. Sort p, -2, -3. p, -3, -2 Let w = 6.99 - -0.01. Let s = -9 + w. Let b be (-2)/5 - 29/(-35). Put s, b, -3 in decreasing order. b, s, -3 Suppose -5 + 2 = l. Suppose r = -3*r + 20. Suppose -23 = -r*t - 3*b, b = 2*t - t - 3. Put t, l, -5 in descending order. t, l, -5 Let f be (-1)/3 + (-10)/(-3). Let u be ((-2)/(-9))/((-7)/f). Let w = 3.4 + 0.6. Sort w, u, 0.1 in ascending order. u, 0.1, w Let k = -5.12 - -0.12. Let r = k + 7. Sort r, 0, -0.3 in descending order. r, 0, -0.3 Let m(l) = l**3 - 6*l**2 + l - 3. Let k(z) = z + 2. Let o be k(4). Let c be m(o). Put c, 0.02, 0 in ascending order. 0, 0.02, c Let s = -17 + 13. Put -0.02, -1, s in descending order. -0.02, -1, s Let s = 12.6 + -13. Sort -4, -1, s in descending order. s, -1, -4 Let k be 2430/(-585) - (-1 - 3). Put -3, -1/3, 8/5, k in descending order. 8/5, k, -1/3, -3 Let z(f) = -f**3 + 7*f**2 - 5*f - 4. Suppose 2*x - x = 6. Let n be z(x). Sort n, 1, -5. -5, 1, n Let k(i) = i**2 + 12*i + 14. Let y be k(-12). Suppose 0 = -v - 0*a - 4*a + y, -2 = 5*v + 2*a. Put v, 1, -3 in decreasing order. 1, v, -3 Let b be 1*((-10)/(-2) + -1). Let l be 3/6*b/(-10). Put -5, 1/2, l in descending order. 1/2, l, -5 Suppose -3*u - 4 = 5. Sort 1, 4, -5, u in decreasing order. 4, 1, u, -5 Let t = 0.36 - -15.64. Let u = -15.8 + t. Sort 2/9, u, 2/3 in increasing order. u, 2/9, 2/3 Let q = -2 - -3. Suppose -r + 2*r - q = 0. Sort 3, r, 0 in increasing order. 0, r, 3 Let w = -3 - -7. Put w, -2, 0.03 in decreasing order. w, 0.03, -2 Let y = -11 - -17. Let d = -6 + y. Sort d, -1/5, -5 in descending order. d, -1/5, -5 Let o = 681/8 - 85. Suppose 24 = 2*z - 6*z - 5*h, 0 = 5*z - h + 30. Let g be 10/(-3) + 4/z. Put o, 3/4, g in descending order. 3/4, o, g Let r = 42 - 42. Let m(j) = -2*j**2 + 2*j + 1. Let a be m(2). Let o be ((a/(-2))/(-1))/2. Put r, o, 4 in ascending order. o, r, 4 Let c = 140 - 133. Sort c, -0.4, 4 in decreasing order. c, 4, -0.4 Suppose -8 - 58 = 6*w. Put 1, w, -2 in descending order. 1, -2, w Suppose k = 4*k. Sort 4, -6, k. -6, k, 4 Let y = -99 + 95. Put -1, 5, y, 0 in increasing order. y, -1, 0, 5 Suppose 5*o - 15 = 0, -2*y - o + 11 = -0*y. Put 1, 3, -1, y in ascending order. -1, 1, 3, y Let b = -71 + 67. Let w = 0 - 0.2. Sort 0.5, b, w in increasing order. b, w, 0.5 Suppose o = 2*r - 7, -4*o + 0*r - 19 = -5*r. Let n = 3 - 8. Sort o, 0, n in increasing order. n, o, 0 Let z = -0.6 - -0.9. Put 0.4, -0.2, z in decreasing order. 0.4, z, -0.2 Let w(g) be the second derivative of -g**5/20 + g**4/3 - g**3/3 - 2*g**2 + 2*g. Let j be w(3). Suppose -5*h - 9 = 11. Put j, h, 1 in ascending order. h, j, 1 Let v be ((-172)/(-60) - 3)*5. Put v, -2, -3 in descending order. v, -2, -3 Let a(w) = 4*w - 9. Let m(l) = 2*l - 5. Let r(o) = -4*a(o) + 7*m(o). Let u be r(2). Put -4, u, 4 in increasing order. -4, u, 4 Let s = -2.6 - -6.6. Put -0.1, -7, s in decreasing order. s, -0.1, -7 Suppose -4*c + 6 - 2 = 4*f, -5*f = -5*c + 5. Suppose f = -l - 5*d + 30, -2*l + 5 = -
{ "pile_set_name": "DM Mathematics" }
third biggest value in 0.9, x, 4? x Let v(p) = 8*p**2 + 3*p + 1. Let x be v(-1). Let f be (2/x)/(16/144). Which is the third biggest value? (a) -0.5 (b) f (c) -15 c Let n = 0.3584 - 0.0584. Let p = 19.86 + -0.16. Let u = -20 + p. What is the biggest value in n, u, -0.05? n Let v be (15 - 2184/147)/((-10)/14). Let t be (-9 - -7)/(4/30). Let u be ((-9)/102)/(t/20). What is the third smallest value in u, -0.3, 3, v? u Let j = -202 - -201.99. Which is the third smallest value? (a) j (b) -1 (c) 2/21 (d) 0.5 c Let j = 13281.1 + -13281. What is the fourth smallest value in -7, j, 19, -3/7, 2? 2 Let q(b) = -1056*b + 9505. Let j be q(9). Let y = -0.4 - -0.7. What is the fourth smallest value in j, y, -1/3, 1/4? j Let i = -0.3259 + -3.6741. What is the fourth smallest value in -1, i, 0.02, 0.1? 0.1 Let p(i) = i**3 + 5*i**2 - 2*i - 12. Let y = -283 + 278. Let m be p(y). Let n be 3/(-13)*(-4)/6. Which is the biggest value? (a) n (b) m (c) 5 (d) 2 c Let p = 24547.035 + -24547. What is the third biggest value in -2/7, -4, -3, p, 0.1? -2/7 Let v = -10140 - -20279/2. Which is the third smallest value? (a) v (b) -41 (c) 0.004 c Let t = 0.1292 + 0.0008. Which is the second smallest value? (a) 2 (b) t (c) 0.4 c Let f = -0.8 + -0.7. Let o = -5.19444 + 0.19444. What is the second smallest value in f, -0.1, o? f Let r = -151 - -236. Let w = -767/9 + r. Let q = -9 + 8.7. Which is the biggest value? (a) 1/3 (b) q (c) w a Let g = -404319 + 404323. Let p(r) = 6*r + 2. Let f be p(3). Which is the biggest value? (a) f (b) g (c) 2 a Let q = -53 + 120. Let y = -67.016 + q. Let s = 1.016 + y. Which is the third biggest value? (a) 2/13 (b) s (c) -11 (d) 4/5 a Let z = 0.0584 - -0.1416. What is the third biggest value in -0.03, z, 1/2, 0.1, 3? z Let h = 3125 - 3120. Which is the fourth smallest value? (a) -1 (b) -3 (c) 0.4 (d) h (e) -0.5 c Let v be ((-19)/(-342))/((-39)/(-12) + -3). What is the third biggest value in v, 0.7, 0.01? 0.01 Let p = 26975/3 + -134881/15. Which is the third biggest value? (a) -11.1 (b) 2 (c) p (d) 4 (e) 0.2 e Suppose 0 = 2*o - 2 - 14. Let d = -0.123 - -0.523. What is the second smallest value in o, 0, d? d Suppose 0 = 19*t - 23*t + 28. Suppose t*k = 3*k - 56. Let m be (-5)/((-20)/(-6))*k/15. Which is the third smallest value? (a) m (b) 0.5 (c) -1/5 a Let d be ((-27126)/6435)/((-332)/55). Let h = 1/166 - d. Which is the third biggest value? (a) -0.1 (b) h (c) -0.5 b Let o be 3 + -5 - -6 - (0 - -11). Let z be (o - -5)/((1 + 9)/(-5)). Let s = 5.1 - 5. Which is the biggest value? (a) s (b) z (c) -8 b Let m = 0.463 - 0.263. Let o(k) = -2*k**2 + 11*k - 1. Let v be o(5). Let h be 3/(45/(-6)) + 0. Which is the fourth smallest value? (a) m (b) h (c) -2 (d) v d Let p = -0.11282 - -0.01282. What is the smallest value in 5, p, -0.05? p Let w = -34 - -157. Let x = w + -127. Which is the second smallest value? (a) 0 (b) 6 (c) x a Let d = 41/77 + -523/693. Which is the third biggest value? (a) -2.4 (b) 2/5 (c) d a Let m = 1701.6 + -1702. Which is the third smallest value? (a) 60 (b) -0.27 (c) -1 (d) m b Let f = -7 + 12. Let c = -1242 + 887. Let k = 355 + c. What is the third smallest value in -3, f, k? f Suppose 2*o + z - 5 = 0, 5*z + 0 = -5. Suppose -2*v + 5*v - 6 = 0. Suppose o*m + v*m = 0. What is the third smallest value in m, -0.3, 2, 0.1? 0.1 Let s be (21/(-117))/(-1) - (8 + (-424)/52). Which is the second biggest value? (a) s (b) 4 (c) -415 a Let m be (-2 - -1*1911)/13. Let o = -147 + m. What is the smallest value in -1, o, 0? -1 Let p be ((-1)/24)/(105/(-43260)). Let h = -33/2 + p. Let t = -2.4 + 2. Which is the second biggest value? (a) -0.2 (b) t (c) -0.04 (d) h c Let t = -55219/7 - -7889. What is the fourth biggest value in 1/18, t, 1, 9/20? 1/18 Let v = -12 + 15. Let u be v/(-15) + (-24)/5. Suppose -39 = 14*l - 11*l. What is the smallest value in l, u, 0? l Let v = 71 + -31. Let r be -6*2/(-20) - (-776)/v. Suppose 4*i + 14 = 2*i - 5*s, 5*i + r = -5*s. Which is the smallest value? (a) i (b) -0.5 (c) -4 (d) 1/2 c Let r be -2*(-2 + (-21)/(-6)). Let q = -3.32 + 3.13. Let u = q + -1.81. What is the third biggest value in r, u, -1? r Let r(k) = -7*k + 458. Let l be r(66). What is the third biggest value in l, 26, 0.3, 2/21? 2/21 Let d = 8502 - 8506. What is the second biggest value in 39, -0.07, d? -0.07 Let a = -619.948 + 620. What is the third biggest value in -1/2, a, 0? -1/2 Suppose -5*l + 13809 = 3264. Let b = l - 162395/77. Let s = 81/154 + b. What is the biggest value in s, -0.3, -8? s Let l = 92 + -91.51. Let v = -0.14 + l. Let u = -8.35 + v. What is the smallest value in -2/17, u, 2/11? u Let t(h) = h**2 + 11*h + 3. Let u be t(-10). Let b be 4*(2 + 4 + u). Let m = 1.514 + -0.514. What is the fourth biggest value in m, b, 3, 5/4? b Let x = -25.3 - -25. Let f = -0.0688 - 0.0012. What is the fourth smallest value in f, -0.4, 0.1, x? 0.1 Let g = 165 - 164.44. Let s = g + -0.16. What is the second smallest value in -3/4, -0.2, 4, s? -0.2 Let l = -28731 + 28734. Suppose -2*w = -0 + 16. Let t be -2*2/w - -1. Which is the second biggest value? (a) -0.4 (b) 5 (c) t (d) l d Let p(z) = 39*z - 2. Let k be p(3). Let h = k - 577/5. Let r = -0.064 + 0.564. Which is the second biggest value? (a) h (b) 3 (c) r c Let y be -1 - (48/(-15) + 1). Let q = 243.747 - 243.757. Let m = 262/581 - -10/83. Which is the third biggest value? (a) -1 (b) y (c) q (d) m c Suppose 5267*z - 104 = 5271*z. Which is the second biggest value? (a) z (b) 0.2 (c) -2 c Let l = 75.3 + -76. Let n = -56 - -56.054. Let i = -0.046 - n. What is the third biggest value in i, l, -3, -2? -2 Let o be 15 + -8 + (-512)/80. Suppose 0 = -5*w + 3 + 7. Let u be 1 + 2/(-12)*11. What is the smallest value in u, w, o, -1? -1 Let x be -38*1/(-5 + -1) + -6. What is the biggest value in 76, x, 13? 76 Let f = -4141 + 4146. What is the third biggest value in 0, f, 0.0535? 0 Let p be (-10 + (7 - 0))*8/(-66). What is the third smallest value in -4, 1/2, p? 1/2 Suppose 0*y = 2*y + i + 558, -4*y - 3*i = 1112. Let o = y - -284. Which is the third biggest value? (a) -0.08 (b) 0 (c) -1 (d) o a Let j = 6.7545 + -1.7545. What is the biggest value in -4/3, 496, j, 0.4? 496 Let q be ((4 - 196/(-35))*7/28)/2. What is the smallest value in -7/8, 2/5, q, 4, -2? -2 Let f = -40048 + 40045. Let q = 75 + -378/5. What is the biggest value in 2/9, f, q, -1/11? 2/9 Let x = -0.23742 + 23.16742. Which is the biggest value? (a) x (b) -0.2 (c) 4 a Suppose -91 = 2*x + 3*x + 2*t, 3*x + 37 = t. Which is the third biggest value? (a) 4 (b) x (c) -3/14 (d) 7 c Suppose -k - 197 = 4*p, 6*p - 3*k = p - 242. Let y = p - -335/7. Which is the smallest value? (a) -0.4 (b) 2 (c) y c Let c = -0.5 + -4.5. Let u = -481596.2 - -481596. What is the second smallest value in 0.18, c, u? u Let q = -165.0359 - -0.0359. Let p = -162 - q. What is the second smallest value in p, 0.02, -2/5, -0.3? -0.3 Suppose 3*h + t + 136 = 468, 2*h - 5*t - 210 = 0. Let j = -110 + h. Which is the second biggest value? (a) -0.1 (b) -2/5 (c) j a Suppose -82*k + 83*k = 2*o + 11, 5*k = o + 28. Which is the fourth biggest value? (a) 1 (b) 0.3 (c) k (d) -37/5 d Let p = 6.8 + 105.2. Let y = 116 - p. What is the third biggest value in -2/9, y, -0.3? -0.3 Suppose y = -2*t - 2*t - 37, 0 = t - 4*y + 22. Let x be 4 + t/4 + (-138)/108. Which is the second biggest value? (a) -3 (b) -2/9 (c) x (d) 0 d Let r = -353.7 + 353.7. What is the second biggest value in -9, r, -3, 4? r Let i(b) = 9 - 27*b + 24*b - 69*b. Let x be i(4). Let z = x + 4183/15. What is the second smallest value in z, 0.5, 2/5? 2/5 Let p(x) = 3*x - 94. Let v be p(33). Let q be 4/v*(-35)/154. What is the biggest value in q, -0.2, 0.3, -0.5? 0.3 Let m = -32 + 36. Let o = 0 + -0.4. Let d be 56/(-448) + 1/4. What is the fourth smallest value in d, -2, m, o? m Suppose 0 = 2*s - 3*a, -4*a - 10 + 2 = 0. Let k = -11423 - -11423. What is the second smallest value in s, -15, k? s Let q = 0.66752 - 0.16752. Which is the second biggest value? (a) 4 (b) -4 (c) -153/5 (d) q d Let y = 8197 + -8208. Which is the third smallest value? (a) 1/3 (b) y (c) -9 a Let v be -2*(2 + (-391)/200). Let w = 4/25 - v. Let k = -0.09 - -0.29. W
{ "pile_set_name": "DM Mathematics" }
Determine h, given that 24/5*h**2 + 3*h**5 + 2/5 - 13/5*h - 26/5*h**4 - u*h**3 = 0. -1, 1/3, 2/5, 1 Let j be (-4)/(-2 - 3/(-3)). Factor -13*a**2 + 3*a**2 + 2*a**j - 4*a**4 - 4*a - 8*a**3. -2*a*(a + 1)**2*(a + 2) Let s = 18 + -14. Let y(h) be the first derivative of 0*h + 2/21*h**3 + 4/35*h**5 - 3/14*h**s + 2 + 0*h**2. Solve y(w) = 0 for w. 0, 1/2, 1 What is b in 7/4*b + 3/4*b**5 + 1/2*b**4 + 0*b**2 - 1/2 - 5/2*b**3 = 0? -2, -1, 1/3, 1 Let v(f) be the third derivative of -f**5/60 - 3*f**2. Let h(i) = -i**3 - 9*i**2 - 5*i - 2. Let o(a) = -h(a) + 5*v(a). Factor o(m). (m + 1)**2*(m + 2) Let j(t) be the first derivative of t**6/75 - 14*t**5/125 + 9*t**4/25 - 44*t**3/75 + 13*t**2/25 - 6*t/25 + 17. Determine f so that j(f) = 0. 1, 3 Find x such that -2/5*x**4 + 2/5*x**5 + 0 - 6/5*x**2 + 0*x - 2*x**3 = 0. -1, 0, 3 Let r be 5 - (0 + 3 + -2). Factor -2*q**r - 3*q**3 - q**4 + 16*q**5 - 17*q**5 - q**2. -q**2*(q + 1)**3 Suppose 4*q + 3*q = 3*q. Factor q*y**2 + 0 - 2/9*y**3 + 0*y. -2*y**3/9 Suppose 3*j + 4*i = -6, i - 14 = -4*j + 3*i. Let w = 427/3 - 141. Suppose -4/3*o + w + 1/3*o**j = 0. Calculate o. 2 Let d(k) = 3*k**4 - k**3 - 3*k**2 - k + 2. Let g(s) = s**4 - s**3. Let m(j) = -d(j) + 2*g(j). Factor m(r). -(r - 1)**2*(r + 1)*(r + 2) Factor 5/7*j + 0 + 1/7*j**2. j*(j + 5)/7 Let j(i) be the first derivative of 3 + 3/4*i**6 + 0*i**3 - 3/4*i**4 + 0*i**2 + 0*i - 3/10*i**5. Suppose j(y) = 0. What is y? -2/3, 0, 1 Suppose 3 - 12 = -n + 2*y, 16 = 4*n - 3*y. Let t be 1*(-21)/27 + n. What is v in 0 - 4/9*v**2 + t*v**3 + 0*v = 0? 0, 2 Let d(x) be the second derivative of -x**6/75 + x**5/10 - 7*x**4/30 + x**3/5 + 3*x - 11. Find z such that d(z) = 0. 0, 1, 3 Factor 1/5*q**3 - 2/5 + 0*q**2 - 3/5*q. (q - 2)*(q + 1)**2/5 Let v(o) be the second derivative of o**6/225 - o**5/150 - o**4/30 + o**3/9 - 2*o**2/15 + 4*o. What is t in v(t) = 0? -2, 1 Let w = 24 + -22. Factor 2/3*q**w + 2/3*q - 2/3 - 2/3*q**3. -2*(q - 1)**2*(q + 1)/3 Let y be (-6)/(-8) - 3*1/6. Factor 1/2*m + 3/4 - y*m**2. -(m - 3)*(m + 1)/4 Suppose -4*b - 5 + 1 = 0. Let l be (-3)/(-3) - (-2 - b). Factor 0 - 2/9*z**3 + 2/9*z**5 - 2/9*z**4 + 2/9*z**l + 0*z. 2*z**2*(z - 1)**2*(z + 1)/9 Let m(n) be the first derivative of -n**5/25 + n**3/5 - n**2/5 + 8. Factor m(p). -p*(p - 1)**2*(p + 2)/5 Let j(s) be the second derivative of 3*s + 0*s**5 + 0*s**4 + 0 + 0*s**2 + 0*s**3 - 1/21*s**7 - 1/15*s**6. Factor j(g). -2*g**4*(g + 1) Let v = -8 + 7. Let y be v/(-2)*-2 - -3. Factor -2/7*d - 6/7*d**3 + 10/7*d**y - 2/7. -2*(d - 1)**2*(3*d + 1)/7 Suppose -4*c + 0*c = 0. Factor -3 + 4 - 5 + 4*t**2 + c*t**2. 4*(t - 1)*(t + 1) Let r(j) be the third derivative of 1/60*j**5 - 1/8*j**4 - 3*j**2 + 0*j + 0 + 1/3*j**3. Factor r(k). (k - 2)*(k - 1) Let f = -7 - -11. Suppose -3*r + f*r = 3. Find o such that 2*o**r - 4*o**2 - o + 0*o**2 + 3*o**2 = 0. -1/2, 0, 1 Let n be -1*(1 + -8 + 2). Let o(j) be the second derivative of 1/60*j**n - j + 1/6*j**3 + 0 - 1/12*j**4 - 1/6*j**2. Solve o(i) = 0 for i. 1 Let j(x) be the first derivative of -3/5*x**5 + 0*x**4 + x**3 + 0*x**2 - 4 + 0*x. Factor j(p). -3*p**2*(p - 1)*(p + 1) Factor 121*j + 1/3*j**3 - 1331/3 - 11*j**2. (j - 11)**3/3 Find v, given that 2/9*v**3 + 0 - 8/9*v + 2/3*v**2 = 0. -4, 0, 1 Let a(p) = p**2 - 5*p - 4. Let t be a(6). Factor 0 + 0*x**t + 2/7*x**3 - 2/7*x. 2*x*(x - 1)*(x + 1)/7 Let v(i) be the first derivative of i**5/120 - i**4/24 + 3*i**2/2 + 3. Let s(q) be the second derivative of v(q). What is b in s(b) = 0? 0, 2 Let d(s) be the second derivative of -s**6/180 - s**5/120 + s**4/24 + s**3/36 - s**2/6 + 7*s. Solve d(x) = 0 for x. -2, -1, 1 Let q(l) be the third derivative of -l**10/75600 - l**9/15120 + l**7/1260 + l**6/360 + l**5/60 - l**2. Let r(k) be the third derivative of q(k). Factor r(t). -2*(t - 1)*(t + 1)**3 Let m(z) be the third derivative of z**5/330 + z**4/132 - 2*z**3/33 + 11*z**2. Factor m(w). 2*(w - 1)*(w + 2)/11 Suppose 3*d - 2 = 4. Suppose 3*u + u + 14 = -d*f, f + 22 = -5*u. Factor f*l - l + 2*l - 2*l**2 - 2*l. -2*l*(l - 1) Let g = -16 + 16. Let f(z) be the third derivative of 1/84*z**4 + 2*z**2 + 0*z + g*z**3 + 0 + 1/210*z**5. Let f(w) = 0. Calculate w. -1, 0 Let c be 82/10 + 2/(-10). Solve -4*j - 4 - 8*j**3 - c*j + 2*j + 22*j**2 = 0 for j. -1/4, 1, 2 Suppose 10*d + 4 = 4. Factor 2/7*j**2 + d + 0*j. 2*j**2/7 Let z(f) be the second derivative of -2*f + 4/9*f**3 - 10/9*f**4 + 7/9*f**7 - 1/10*f**5 + 0 + 14/9*f**6 + 0*f**2. Factor z(a). 2*a*(a + 1)**2*(7*a - 2)**2/3 Let a be (1/(-1))/((-3)/6). Let v = -39 - -43. Factor 0*q - 1/3*q**a + 0*q**3 + 0 + 1/3*q**v. q**2*(q - 1)*(q + 1)/3 Suppose 2/15*p**2 + 0 + 0*p + 2/15*p**3 = 0. What is p? -1, 0 Let w(v) = -4*v**2 + 5*v - 4. Let u(y) = -7*y**2 + 9*y - 7. Let i(t) = -3*u(t) + 5*w(t). Factor i(r). (r - 1)**2 Let s(p) be the second derivative of -p**5/70 + p**4/42 + 6*p. Factor s(u). -2*u**2*(u - 1)/7 Let x(k) = -3*k**2 + 4*k - 2. Let t(g) = 8*g**2 - 9*g + 5. Let v(r) = 2*t(r) + 5*x(r). Factor v(h). h*(h + 2) Let u = 87674 + -789838/9. Let f = 86 + u. Factor 0*p + 0 - 2/9*p**2 + f*p**3. 2*p**2*(p - 1)/9 Suppose -8 = 5*a - 23. Factor 3*s**3 + a*s**5 - 9*s**2 + 2*s**4 - 6*s + 10*s**4 - 3*s**4. 3*s*(s - 1)*(s + 1)**2*(s + 2) Let n be 40/(-18)*6/(-4). Suppose 2*u - 1 = 3. Find f such that -16/3*f - n*f**u + 8/3 = 0. -2, 2/5 Factor 2/5*j**3 - 2*j**2 + 4/5*j + 16/5. 2*(j - 4)*(j - 2)*(j + 1)/5 Let x(p) = -p**3 - p**2 + 3*p + 3. Let s be x(-3). Let j be s/(-18) + (-26)/(-30). Factor -j*l**2 + 1/5 + 0*l. -(l - 1)*(l + 1)/5 Determine i, given that 2/9*i**3 - 2/3*i**2 + 2/3 - 2/9*i = 0. -1, 1, 3 Let o(j) be the third derivative of -4*j**2 + 0 + 0*j**3 + 0*j + 0*j**6 + 0*j**4 + 1/180*j**5 - 1/630*j**7. Factor o(w). -w**2*(w - 1)*(w + 1)/3 Suppose -3*q - 65 = -2*k - 4*q, 4*k - 5*q - 165 = 0. Let h be 1/2 + k/10. Factor -2*g**3 + 2*g - h + 0 - 2*g**2 + 6. -2*(g - 1)*(g + 1)**2 Let j(f) = -f**2 - 8*f + 4. Let t be j(-8). Let -2*b**t + b**4 - 2*b**2 - 2*b**2 + 5*b**2 = 0. Calculate b. -1, 0, 1 Suppose -2*w + 4*w = 6. Find f, given that 3*f**2 - 15*f**3 + 9*f**3 + 3*f**w = 0. 0, 1 Let p be (-4)/3 - 18/(-12). Let z(r) be the third derivative of -1/60*r**5 - 2*r**2 + 1/24*r**4 - 1/120*r**6 + 0 + p*r**3 + 0*r. Let z(i) = 0. Calculate i. -1, 1 Let v = -7 - -10. Factor 2*g**v - 1 + 3*g**2 + 4*g**3 + 1 + 3*g**4. 3*g**2*(g + 1)**2 Factor -3*w - 7*w**2 - w + 3*w**2. -4*w*(w + 1) Suppose 0*f - 3*f = -2*o + 20, f = -2*o + 4. Let q(l) = -l - 3. Let i be q(-6). Factor -3*c**2 + o*c**2 - i*c**2. -2*c**2 Let j(r) be the second derivative of -r**6/135 - r**5/90 - 15*r. Factor j(b). -2*b**3*(b + 1)/9 Suppose 11 = 5*s - 9. Suppose p = 2*m + 4, 0 = 2*m - 0*m + 4. Factor 0*y**2 + y**s + p*y**2 + y**3. y**3*(y + 1) Suppose -2*y - 5*u + 33 = 0, 3*u = 4*y - 2*u + 9. Factor 7*g**2 - y*g**5 + 6*g**2 + 12*g**4 - g**2 - 3*g + g**5 - 18*g**3. -3*g*(g - 1)**4 Let i be 4 - ((1 - -6) + 6/(-2)). Factor 2/9*a**2 - 2/9 + i*a. 2*(a - 1)*(a + 1)/9 Let o(u) be the first derivative of -u**3/6 - u**2/2 - u/2 - 5. Factor o(j). -(j + 1)**2/2 Let v be (-10)/(-8) + (-1 - 0). Let s be ((-4)/14)/(-5 + 414/84). What is u in -1/4*u**s + 0 + 0*u + 0*u**2 - v*u**3 = 0? -1, 0 Let m(u) be the third derivative of u**6/280 - u**5/140 - 3*u**2. Solve m(k) = 0 for k. 0, 1 Let u(f) = -f**3 + 8*f**2 + 3. Let v be u(8). Factor 37*s**2 - 34*s**2 + v*s + 2 - 8. 3*(s - 1)*(s + 2) Let j(m) = 3*m**3 + 7*m**2 - 7*m + 5. Let n(c) = 2*c**3 + 6*c**2 - 6*c + 4. Let v(u) = -3*j(u) + 4*n(u). Factor v(d). -(d - 1)**3 Let y(g) be the first derivative of -g**3/7 - 3*g**2 - 21*g + 20. Factor y(r). -3*(r + 7)**2/7 Let w(l) = -l**3 + 10*l**2 - l + 13. Let o be w(10). Let s = o - -1. Find j, given that -3/4*j**2 + 3/4*j**3 - 3/4*j + 0 + 3/4*j**s = 0. -1, 0, 1 Let k(h) be the second derivative of -h**5/70 + h**4/42 + 9*h. Suppose k(u) = 0. Calculate u. 0, 1 Factor -9 - 3*p**2 + 12*p + 8 - 11. -3*(p - 2)**2 Factor 9*g**4 - 7*g**4 - 146*g**2 - 6*g + 6*g**3 + 144*g**2. 2*g*(g - 1)*(g + 1)*(g + 3) Let t be -1 - (0 - 2 - -1). Suppose 0 = -t*p - 4*p + 16. Suppose 4*l**4 - 4*l**2 + 0 + 2 - 2*l**p = 0. What is l? -1, 1 Let w(b) be the second derivative of 0*b**2 - 2/5*b**6 - 3/20*b**5 + 0*b**4 - 3/14*b**7 + 0 + 2*b + 0*b**3. What is h in w(h) = 0? -1, -1/3, 0 Let k(p) be the third derivative of p**6/80 + 47*p**5/240 - 61
{ "pile_set_name": "DM Mathematics" }
t integer? 5142 What is 457579 to the power of 1/3, to the nearest integer? 77 What is the cube root of 1305715 to the nearest integer? 109 What is 1919417 to the power of 1/8, to the nearest integer? 6 What is the third root of 22995 to the nearest integer? 28 What is 2254539 to the power of 1/2, to the nearest integer? 1502 What is 1200306 to the power of 1/6, to the nearest integer? 10 What is 538325 to the power of 1/10, to the nearest integer? 4 What is 3861306 to the power of 1/5, to the nearest integer? 21 What is 8367773 to the power of 1/2, to the nearest integer? 2893 What is the square root of 2281260 to the nearest integer? 1510 What is the tenth root of 813932 to the nearest integer? 4 What is the fifth root of 8755958 to the nearest integer? 24 What is the cube root of 13534545 to the nearest integer? 238 What is 1083896 to the power of 1/3, to the nearest integer? 103 What is 82647 to the power of 1/3, to the nearest integer? 44 What is the square root of 534349 to the nearest integer? 731 What is 90413 to the power of 1/2, to the nearest integer? 301 What is the third root of 62385 to the nearest integer? 40 What is 1984387 to the power of 1/8, to the nearest integer? 6 What is the cube root of 4317822 to the nearest integer? 163 What is the third root of 949709 to the nearest integer? 98 What is the third root of 400351 to the nearest integer? 74 What is the third root of 40142 to the nearest integer? 34 What is 4208476 to the power of 1/6, to the nearest integer? 13 What is 603019 to the power of 1/2, to the nearest integer? 777 What is the sixth root of 3510190 to the nearest integer? 12 What is the cube root of 4022650 to the nearest integer? 159 What is the fifth root of 31617753 to the nearest integer? 32 What is the seventh root of 17805216 to the nearest integer? 11 What is the cube root of 1923718 to the nearest integer? 124 What is the square root of 11319812 to the nearest integer? 3364 What is 598985 to the power of 1/7, to the nearest integer? 7 What is the third root of 2130822 to the nearest integer? 129 What is 190693 to the power of 1/2, to the nearest integer? 437 What is the square root of 3516754 to the nearest integer? 1875 What is the fourth root of 1399057 to the nearest integer? 34 What is the square root of 22376054 to the nearest integer? 4730 What is 17803 to the power of 1/7, to the nearest integer? 4 What is the eighth root of 1262672 to the nearest integer? 6 What is the sixth root of 5801327 to the nearest integer? 13 What is the cube root of 2621148 to the nearest integer? 138 What is 5324 to the power of 1/4, to the nearest integer? 9 What is 2047892 to the power of 1/7, to the nearest integer? 8 What is the cube root of 263802 to the nearest integer? 64 What is 6321569 to the power of 1/5, to the nearest integer? 23 What is the square root of 199551 to the nearest integer? 447 What is the ninth root of 184332 to the nearest integer? 4 What is the square root of 62675 to the nearest integer? 250 What is the square root of 323073 to the nearest integer? 568 What is the square root of 659651 to the nearest integer? 812 What is 769149 to the power of 1/2, to the nearest integer? 877 What is the fourth root of 1371358 to the nearest integer? 34 What is the cube root of 58834 to the nearest integer? 39 What is the tenth root of 4470359 to the nearest integer? 5 What is the square root of 28464724 to the nearest integer? 5335 What is 538294 to the power of 1/5, to the nearest integer? 14 What is the cube root of 4820178 to the nearest integer? 169 What is the fourth root of 2441407 to the nearest integer? 40 What is 31351 to the power of 1/3, to the nearest integer? 32 What is 218772 to the power of 1/10, to the nearest integer? 3 What is 14839134 to the power of 1/2, to the nearest integer? 3852 What is the third root of 2634272 to the nearest integer? 138 What is the cube root of 221848 to the nearest integer? 61 What is the eighth root of 2554589 to the nearest integer? 6 What is 872878 to the power of 1/3, to the nearest integer? 96 What is 85185 to the power of 1/2, to the nearest integer? 292 What is 105205 to the power of 1/4, to the nearest integer? 18 What is the eighth root of 204528 to the nearest integer? 5 What is the sixth root of 762531 to the nearest integer? 10 What is 800316 to the power of 1/6, to the nearest integer? 10 What is the square root of 471647 to the nearest integer? 687 What is 3541061 to the power of 1/2, to the nearest integer? 1882 What is 331682 to the power of 1/2, to the nearest integer? 576 What is 4886411 to the power of 1/4, to the nearest integer? 47 What is 16770 to the power of 1/3, to the nearest integer? 26 What is 5002363 to the power of 1/3, to the nearest integer? 171 What is 186933 to the power of 1/3, to the nearest integer? 57 What is the eighth root of 3487939 to the nearest integer? 7 What is 3455765 to the power of 1/3, to the nearest integer? 151 What is the fifth root of 8360262 to the nearest integer? 24 What is the square root of 9019262 to the nearest integer? 3003 What is the cube root of 2406080 to the nearest integer? 134 What is 6236918 to the power of 1/8, to the nearest integer? 7 What is the fourth root of 1486102 to the nearest integer? 35 What is the sixth root of 4033045 to the nearest integer? 13 What is 2636320 to the power of 1/2, to the nearest integer? 1624 What is the cube root of 278979 to the nearest integer? 65 What is 457321 to the power of 1/8, to the nearest integer? 5 What is the ninth root of 606654 to the nearest integer? 4 What is the cube root of 619207 to the nearest integer? 85 What is the fifth root of 252763 to the nearest integer? 12 What is the cube root of 8135269 to the nearest integer? 201 What is 1806769 to the power of 1/3, to the nearest integer? 122 What is the cube root of 2271795 to the nearest integer? 131 What is the cube root of 388675 to the nearest integer? 73 What is the ninth root of 8933696 to the nearest integer? 6 What is the square root of 1557934 to the nearest integer? 1248 What is 62877 to the power of 1/2, to the nearest integer? 251 What is 683709 to the power of 1/4, to the nearest integer? 29 What is 9559231 to the power of 1/2, to the nearest integer? 3092 What is 13167169 to the power of 1/3, to the nearest integer? 236 What is the cube root of 172110 to the nearest integer? 56 What is the third root of 5686325 to the nearest integer? 178 What is the third root of 2979257 to the nearest integer? 144 What is 2427857 to the power of 1/7, to the nearest integer? 8 What is the eighth root of 115275 to the nearest integer? 4 What is 5506636 to the power of 1/2, to the nearest integer? 2347 What is the eighth root of 959656 to the nearest integer? 6 What is the third root of 9761833 to the nearest integer? 214 What is the third root of 869878 to the nearest integer? 95 What is the fifth root of 1391707 to the nearest integer? 17 What is 418232 to the power of 1/5, to the nearest integer? 13 What is the square root of 1486964 to the nearest integer? 1219 What is the square root of 1899337 to the nearest integer? 1378 What is 11643082 to the power of 1/7, to the nearest integer? 10 What is the fifth root of 1631946 to the nearest integer? 17 What is 1950189 to the power of 1/2, to the nearest integer? 1396 What is 1783905 to the power of 1/10, to the nearest integer? 4 What is the cube root of 1199026 to the nearest integer? 106 What is the sixth root of 1369269 to the nearest integer? 11 What is 301898 to the power of 1/3, to the nearest integer? 67 What is 25922798 to the power of 1/3, to the nearest integer? 296 What is the third root of 6682606 to the nearest integer? 188 What is 192312 to the power of 1/5, to the nearest integer? 11 What is the square root of 1495117 to the nearest integer? 1223 What is the sixth root of 1044839 to the nearest integer? 10 What is 392619 to the power of 1/2, to the nearest integer? 627 What is the third root of 1239751 to the nearest integer? 107 What is 389037 to the power of 1/5, to the nearest integer? 13 What is 23931624 to the power of 1/2, to the nearest integer? 4892 What is the cube root of 1315967 to the nearest integer? 110 What is the cu
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest integer? 6 Let z = -87.00057 + 87. What is z rounded to four decimal places? -0.0006 Suppose h - 3*j - 246 = 0, 4*h + 2*j + 0*j - 956 = 0. Round h to the nearest one hundred. 200 Let f = -26 - -25.89. Let y = f + 0.116. Round y to two dps. 0.01 Let t = 4 + -4. Let r = t + 1. Let z(b) = -13*b. Let n be z(r). Round n to the nearest 10. -10 Let p = 173.4 + -160. Let h = 23 - p. What is h rounded to the nearest integer? 10 Let d(t) = 2*t**3 - 4*t**2 + 4*t + 10. Let z be d(-7). What is z rounded to the nearest 100? -900 Suppose -5*j + 12 = -4*j. Suppose -3*m = -2*c - j, -5*c = -5*m + 15 + 5. Suppose -5*s + 25647 + 16353 = c. Round s to the nearest 1000. 8000 Let z = -104998.9 - 1375307.1. Let s = -1480163.9919 - z. Let w = 142 - s. What is w rounded to three dps? -0.008 Suppose -2*q = 3*q. Suppose -4*l = -5*x - 0 + 21, -2*x + 5*l + 22 = q. Let m be (x + 249)/(-1)*6880. What is m rounded to the nearest 100000? -1700000 Let v = -3.2 + 3.2052. Round v to 3 dps. 0.005 Let g = 2412589.00068 - 2412547. Let f = g + -42. What is f rounded to four decimal places? 0.0007 Let c = -36.355 + 6.38. Let s = -0.025 + c. Let o = -29.99908 - s. What is o rounded to 4 dps? 0.0009 Let p(x) = -139*x**3 + x**2 - x + 3. Let s be p(-4). Let m = s - 3919. What is m rounded to the nearest one thousand? 5000 Let l = 21.021 - 21. Let v = -10.521 + l. Let a = -10.50000049 - v. Round a to seven dps. -0.0000005 Let r be (-1 + 3)*14/4. Let i = r + -4. Suppose -b = i*b + 1240. Round b to the nearest one hundred. -300 Let q = -54 + 53.9999828. Round q to 6 dps. -0.000017 Let g = 6.035 + -5.4. Let q = -20.235 - g. Let s = q + 21. Round s to 1 decimal place. 0.1 Let j = 196054721923287 - 196054732174161.70000005. Let p = j - -10250875. Let s = -0.3 + p. Round s to seven decimal places. -0.0000001 Let a be (-597)/(-7) + 6/(-21). Suppose a - 9 = h. Suppose u - 352 - h = -2*k, -k - 1676 = -4*u. Round u to the nearest one hundred. 400 Let f = 0.8 - 0.4. Let z = 6.4 - f. Let v = z - 5.999993. What is v rounded to five decimal places? 0.00001 Let l = 22 - 82. Let u = l - -59.99906. What is u rounded to four decimal places? -0.0009 Let w = -37.991 - 0.009. Let j = -576.683427 + 614.6834249. Let h = w + j. Round h to 6 decimal places. -0.000002 Let o be -2*287*-157 + -3. Suppose x - o = 11885. Suppose 3*v + x = v. What is v rounded to the nearest ten thousand? -50000 Let j be (30000/(-56))/(1/(-7)). Round j to the nearest 100. 3800 Let a = 54.9 + -54.900000714. What is a rounded to seven dps? -0.0000007 Let k = -18 - 66. Round k to the nearest 100. -100 Let x = -3.71469872712 - -3.650657681. Let r = 76.06404147612 + x. Let j = -76 + r. Round j to seven decimal places. 0.0000004 Let l be (4704 - (1 - 2)) + -1. Suppose -l = 3*j - 6*j. Let z = 838 - j. What is z rounded to the nearest one hundred? -700 Let k = 76.28 - 0.28. Let x = k - 42. Let h = x - 33.9971. Round h to 3 dps. 0.003 Let g = 85 - 85.000276. What is g rounded to 5 dps? -0.00028 Let k = 0.159 + 4.161. What is k rounded to 1 dp? 4.3 Let w = -17.1 + 17.1000199. Round w to 6 dps. 0.00002 Let q = -0.12 + 0.120076. Round q to 5 dps. 0.00008 Let x(q) = 4*q - 1. Let z(g) = 2*g. Let i(l) = 4*x(l) - 9*z(l). Let s be i(-3). Let k be 18003 - s - (-3)/(-3). What is k rounded to the nearest 10000? 20000 Let s = -1.068 - 0.002. Let z = s + 1.68. Let u = 1.19 - z. What is u rounded to one dp? 0.6 Let q = 78.027 - 78. Round q to 3 decimal places. 0.027 Suppose -3 = 7*y - 8*y. Suppose -y*x + x = -2380. What is x rounded to the nearest 100? 1200 Let k be 8*-1*1/(-2). Let v = -6 + k. Let q(n) = -6499*n + 2. Let j be q(v). What is j rounded to the nearest 10000? 10000 Let w = 5 + -5.02. Let y = 38 - 38.54. Let o = y + w. Round o to one decimal place. -0.6 Let d = 2.9 + 0.1. Let v = -3.2 + d. Let t = -0.19999955 - v. What is t rounded to 7 decimal places? 0.0000005 Let m(y) = 11602*y + 10. Let q be m(-5). Round q to the nearest 100000. -100000 Let w = -3183028 - -3183038.000005. Let t = 10 - w. What is t rounded to 6 dps? -0.000005 Let r = 1 + -3. Let x = r + 2.008. Let l = -3.292 - x. What is l rounded to the nearest integer? -3 Let w(v) = 36*v**3 + v**2. Let i(g) = g**2 - 4*g + 1. Let s be i(4). Let q be w(s). What is q rounded to the nearest ten? 40 Suppose z + 4*z + 15 = 0. Let j be 0/z + -2 - -2. Suppose -5*u + 1566988 + 1033012 = j. Round u to the nearest 100000. 500000 Let c(w) be the second derivative of -20553*w**3 - 3*w**2/2 - 3*w. Let y be c(6). Let m = -279911 - y. Round m to the nearest 100000. 500000 Let j = -18 + 10. Let i = j - -7.998. Round i to three dps. -0.002 Let g = 34097 + -19111. Suppose -j - 75014 - g = 0. Round j to the nearest one hundred thousand. -100000 Let f be -1 + 3 + -2 + -334. Let h be -2 + 7006*f/(-2). Suppose -3*l - 2*y + 0*y + h = 0, -1950000 = -5*l - 4*y. What is l rounded to the nearest 100000? 400000 Let s = 1223127.0000006 - 1223124. Let w = 3 - s. Round w to 6 dps. -0.000001 Let j = -2.79999824 - -2.8. Round j to 7 decimal places. 0.0000018 Let v(o) be the second derivative of 181250*o**4/3 - o. Let a be v(2). Round a to the nearest 1000000. 3000000 Suppose 2*z + 3*n = 38200015, 4*z + 4*n - 76400020 = -0*z. What is z rounded to the nearest one million? 19000000 Let l = 2.91296861 + 0.08703075. Let q = l - 3. Round q to seven decimal places. -0.0000006 Let b = -19 + 0. Let a = -19.28 - b. What is a rounded to 1 decimal place? -0.3 Let u = 19707.78841 - 19815.7884041. Let f = -108 - u. What is f rounded to 6 dps? -0.000006 Let g = -1.7 + 1.695. What is g rounded to two dps? -0.01 Let v = 44.3 + 2.7. Let w = -47.00000019 + v. Round w to 7 dps. -0.0000002 Let q = 5.2 + -5.288. What is q rounded to two decimal places? -0.09 Let b = -55069 - -55069.25703. Let a = -73 + 73.256. Let n = a - b. What is n rounded to four decimal places? -0.001 Let r = 5.99 + -6. Let l = r + 0.01000016. Round l to 7 decimal places. 0.0000002 Let m = -18133.30899 - -18148.51. Let r = -15.2 + m. Round r to four dps. 0.001 Let x = 11.7 - 11. Let b = x - 0.2. Let u = b + -0.50015. What is u rounded to 4 decimal places? -0.0002 Let u = -0.1 - -0.099956. What is u rounded to five decimal places? -0.00004 Let n = 211.0972 - 211. Let l = -0.1 + n. What is l rounded to three decimal places? -0.003 Let a = 1.049 - -0.091. Let m = 0.48 + -0.22. Let b = a - m. What is b rounded to one decimal place? 0.9 Let d(q) = 139*q + 3 - 3 - 2 - 3. Let z be d(-5). What is z rounded to the nearest one hundred? -700 Let x = 0.0823 + -0.4833. Let y = 0.36 + x. What is y rounded to two decimal places? -0.04 Let h = 27.87 + -28. Let y = 0.137 + h. Round y to 3 dps. 0.007 Let t = 47 + -69. Let m = t + 34. Let d = 14.4 - m. What is d rounded to the nearest integer? 2 Let v = -25711223 - -25711227.4999901. Let g = 17 - 12.5. Let h = v - g. Round h to 6 dps. -0.00001 Let z = -37.914936 - -32.915. Let a = -49 - -44. Let c = z - a. What is c rounded to 5 decimal places? 0.00006 Let z be -4 - -6275 - (3 - 2). Let m = z + -10570. What is m rounded to the nearest one thousand? -4000 Let y = -1.45 - -2. What is y rounded to 1 dp? 0.6 Let b = 0.27370238 + -0.2497034. Let d = -7 + 7.024. Let h = b - d. What is h rounded to seven decimal places? -0.000001 Let s = -2665037.62762 - -2643802.368. Let l = s - -21216.26. Let v = l - -19. What is v rounded to four dps? 0.0004 Let w = 0.335 + -0.063. Let v = w - 0.19. Round v to 2 decimal places. 0.08 Let f = -265166.09 + 265133.089983. Let k = -33 - f. What is k rounded to five dps? 0.00002 Let q = 28664520737589 + -28664521631671.02300062. Let z = 894082 + q. Let v = z + 0.023. What is v rounded to 7 decimal places? -0.0000006 Let i = 0.98 - 0.97999931. What is i rounded to seven dps? 0.0000007 Let y = -115 - -115.000107. Round y to five dps. 0.00011 Suppose 14*k - 17*k = 16560000. Round k to the nearest 100000. -5500000 Let x = 5422.14 + -5404.14074. Let l = 18 - x. What is l rounded to four dps? 0.0007 Suppose -5*m - 207016 = 180009. Let l be (2*55)/((-4)/1942). Let a = m - l. What is a rounded to the nearest ten thousand? -20000 Let h = -12659515.3103 - -12660455. Let s = 1013.694 - h. Let c = s + -74. What is c rounded to three decimal places? 0.004 Let y = 0 + -0.032. What is y rounded to two dps? -
{ "pile_set_name": "DM Mathematics" }
mmon multiple of 22 and t? 132 Let m = -4 - 5. Let z = m - -14. Calculate the lowest common multiple of 8 and z. 40 Suppose 0 = -4*i + i + 135. Let o = 47 + -68. What is the common denominator of i and ((-106)/o)/((-2)/3)? 7 Let r(l) = -l**2 - l - 33. Let z be r(0). Let p = z + 53. Calculate the lowest common multiple of 18 and p. 180 Let l = -5 - -11. Let g be l/(-3) + 2 + 0. Suppose 0 = -5*w + 2*u + 32, -w = 5*u - g - 28. Calculate the least common multiple of w and 4. 8 Let t = 15 + -11. Suppose 2 - 54 = t*z. Let c = z - -19. Calculate the smallest common multiple of 5 and c. 30 Let k = 2 - -4. Let i be 5/5 + k*3. Suppose 5*f + 3*t = 18 + i, -2*f - 5*t + 11 = 0. Calculate the least common multiple of 10 and f. 40 Find the common denominator of (-3)/(-5)*170/(-8) and 25/12. 12 Suppose 0 = 6*d - 12*d + 48. What is the least common multiple of 22 and d? 88 Let a(f) be the second derivative of -13*f**3/6 + 2*f**2 - 2*f. Let b be a(4). What is the common denominator of (2 - (-94)/b)*142 and 33/10? 60 Let s(h) = h**2 - 5*h. Let q be s(-5). Suppose 10 + q = 5*k. What is the lowest common multiple of k and 18? 36 What is the lowest common multiple of 60 and 1 - (-14 - 25/5)? 60 Suppose -68 = -4*p - 3*o - 1, -2*o = 3*p - 50. Calculate the lowest common multiple of 12 and p. 48 Suppose -3*p = 4*f - 19, -5*p + 10 = -5*f - 10. Let o be ((-2)/4)/(f/(-52)). What is the least common multiple of (-2)/(-5) + o/10 and 4? 12 Let p be 123/9 - (-3)/9. Let y be (-4)/p - 54/7. Let u = y + 24. What is the least common multiple of 12 and u? 48 Suppose -3700 = -3*h + 173. Let n = h - 11573/9. What is the common denominator of 0 + 122/(-18)*-1 and n? 9 Let x = -3427/6 + 585. What is the common denominator of ((-51)/6)/((-18)/(-4)) and x? 18 Let s = 23 - 21. Calculate the lowest common multiple of s and 18. 18 Suppose -2*h + 28 = 2*h. Let s = 4 + h. Calculate the lowest common multiple of s and 7. 77 Let d = -8069/5880 + -2/735. What is the common denominator of -24/11 and d? 88 Let i(b) = b + 1. Let n(q) = q + 9. Let u(a) = 3*i(a) - n(a). Suppose -2*p - 3*p = -15, -2*v + 4*p = -24. What is the lowest common multiple of v and u(6)? 18 Let a(f) = f**2 + 4*f - 9. Calculate the lowest common multiple of 5 and a(-7). 60 Let s(y) = -2*y - 32. Calculate the least common multiple of (-119)/(-4) - (-5)/20 and s(-18). 60 Suppose 2*p - 64 = -0*p. Let h = p + -23. What is the smallest common multiple of 10 and h? 90 Let s = -27 + 49. Calculate the lowest common multiple of s and 14. 154 What is the common denominator of (-1)/(-5) + 448/(-540) and 97/30? 270 Suppose 41 = 3*f - 13. Calculate the smallest common multiple of f and 15. 90 Let b be -2 + -1*(-74)/(-1). Let n = -54 - b. What is the lowest common multiple of n and ((-3)/(-2))/(3/44)? 22 Suppose 29*y - 48 = 26*y. What is the lowest common multiple of y and 22? 176 Suppose 5*w = 4*s + 25, -w - 12 = 2*w + 3*s. What is the lowest common multiple of 12 and w? 12 Let p = 29 + -21. What is the lowest common multiple of p and 24? 24 Suppose 3 = -2*z + 11. Suppose -z*p + 48 = -p. Calculate the lowest common multiple of p and 12. 48 Suppose -3*h + 7 = -4*j, -h - 3*j + 2 = 4*h. Let n = -8 + 16. Calculate the lowest common multiple of h and n. 8 Let h = -2/651 - 39667/14322. Calculate the common denominator of h and 17/22. 22 Calculate the common denominator of 9/(-3) - (-140)/(-16) and 75/14. 28 Calculate the common denominator of 44/21 and (-14 + 2)/((-450)/(-20)). 105 Let c = 6/791 + -24617/12656. Let p = -43268/355 - -13269461/126735. Let k = p - -3/238. Calculate the common denominator of c and k. 48 Let s be ((-20170)/(-14))/((-66)/(-357)). Let x = -8178 + 15975. Let i = s - x. Find the common denominator of i and -87/4. 44 Calculate the lowest common multiple of (-60)/(-10)*-2*-1*1 and 72. 72 Let w be 3*-3*(-4)/(-6). Let b = 1900 - 7679/4. Find the common denominator of ((-6)/(-8))/(w/(-57)) and b. 8 Let m = 14 + -9. Suppose -p = m*p - 48. Calculate the lowest common multiple of p and 18. 72 Suppose 156 = 2*n - 0*n. Suppose -2*z - n = z. Calculate the common denominator of -17/6 and z. 6 Let a = -41 - -61. What is the least common multiple of 30 and a? 60 Calculate the lowest common multiple of 18 and (-10)/75 - 932/(-15). 558 Let g(f) = -f**2 + 13*f - 31. Suppose 0 = -2*y - y. Suppose -5*h = -6*h - m + 7, -5*m - 15 = y. Calculate the smallest common multiple of g(9) and h. 10 What is the common denominator of -4 - (145/(-56) + -3) and 127/6? 168 Let h(t) = -2*t - 9. Let r be h(-9). Let z(i) = i**2 - 8*i - 6. Let a = -6 - -11. Calculate the least common multiple of z(r) and a. 15 Suppose k + 1 - 8 = 0. Suppose 2*l = k*l - 15. Calculate the least common multiple of l and 8. 24 Calculate the common denominator of 81/12 - 4/12 and 101/4. 12 Calculate the common denominator of (-6)/14 - 1236/(-336) and -119/12. 12 What is the common denominator of 24/(-30) + 277/(-210) and -91/18? 126 Let q = 245/361 - -2047/29963. Let r = 1539/1162 + q. What is the common denominator of 29/12 and r? 84 Suppose 3*b + 0*u = 3*u - 6786, -3*b - 6791 = -2*u. Let t = 49889/22 + b. Find the common denominator of t and 15/22. 22 Find the common denominator of (-1)/(-2) - (-145)/15 and 47. 6 Let v be (-2)/(-6) + 85/15. Let q be (-3)/v + 11/(-2). What is the common denominator of 102/9*1/q and 51/11? 99 Let b = -2160/371 - 17/53. Let k = 87 + 273. Let p = 673/2 - k. Calculate the common denominator of b and p. 14 Let v = -7/18957 + 27090631/2919378. Let x = -71/7 + v. Calculate the common denominator of x and -17/6. 66 Suppose -19 - 26 = -5*m. Calculate the lowest common multiple of m and 6. 18 Suppose -2*o + 8 = -2*t, 0 = 2*t + 3*o + 2*o - 20. Suppose 0*r - 3*r + 12 = t. What is the lowest common multiple of r and 2? 4 Let i = 3 + 1. Calculate the lowest common multiple of 1 and i. 4 Let x(s) = s**3 + 27*s**2 - 58*s + 54. Calculate the lowest common multiple of x(-29) and 4. 108 Let a = -1 - -7. What is the smallest common multiple of 5 and a? 30 Let l = 256567/3894550 - 70/1067. Let w = 36133/7300 + l. Let m = -257/45 - -65/18. Find the common denominator of w and m. 20 Suppose 14*g + 14 = 15*g. Calculate the smallest common multiple of g and 8. 56 Suppose -4*l = -5 - 3. Calculate the lowest common multiple of (-1)/(-4) - (-14)/8 and l. 2 What is the common denominator of 3/12 + (-458)/40 and 1 + 5*19/(-2)? 10 Let h = -50753/16 - -3177. Find the common denominator of -1/42 and h. 336 What is the common denominator of ((-84)/(-72))/((-5)/(-13)) and -87/4? 60 Suppose 5*m + 42 = z + 7, 0 = 3*m + 15. What is the smallest common multiple of 18 and z? 90 Calculate the smallest common multiple of 0 - (2 - -20)*-1 and (1/1)/(1/4). 44 Let d(b) be the first derivative of -b**2/2 + 22*b - 1. Calculate the lowest common multiple of d(0) and 10. 110 Let g(b) = b**2 - 2*b - 3. Let y be g(-2). Suppose 10*t = y*t. Calculate the common denominator of 9/10 and t/4 - (-36)/(-10). 10 Let x = 2/288689 + -4492578228/1443445. Let q = -3122 - x. Find the common denominator of (-6)/8*68/(-12) and q. 20 Find the common denominator of 3/63 - 0 - -1 and 654/(-21) - (-6)/42. 21 Let h be 1 + -3 - (-4)/2. Suppose 3*g - 5*a - 2705 = h, -4*g + 3605 = -6*a + a. Calculate the common denominator of 5155/g + 2/9 and 121/18. 180 Let l = 107 + -104. What is the smallest common multiple of 9 and l? 9 Let m = 26656/9 - 2965. Find the common denominator of m and (-2)/(-4) - (-14)/(-8). 36 Let b = 1/1191 - -105995/4764. Suppose -11 = -3*m + 28. What is the common denominator of 1 - 6/(-4)*m and b? 4 Let d = -641147/517398 + 315/254. Let m = -173153/8148 + d. Find the common denominator of m and ((-424)/108)/((-2)/(-3)). 36 Let a = -13/314 - -15987/3140. Find the common denominator of a and 91/12. 60 Let p(j) = j**2 + 2*j + 6. Calculate the least common multiple of 54 and p(-5). 378 Let d = 647 + -440. What is the common denominator of -8/9 and (d/12)/(66/16)? 99 Suppose -3*c + 29 = -25. Calculate the least common multiple of c and 20. 180 Let q = 176 + -167. What is the least common multiple of q and 21? 63 Let t = 20091122/15 + -1338694. Let u = -715 + t. Calculate the common denominator of u and -9. 15 Let i(d) = d**3 - 10*d**2 + 2*d - 12. Calculate the lowest common multiple of i(10) and
{ "pile_set_name": "DM Mathematics" }
one thousand? 184000 Round -52.8 to the nearest ten. -50 Round -5873000 to the nearest 1000000. -6000000 What is -3277200 rounded to the nearest one hundred thousand? -3300000 What is -0.0000008677 rounded to seven dps? -0.0000009 Round -20.47 to 1 dp. -20.5 Round -0.0003415 to five decimal places. -0.00034 Round -1.34548 to two decimal places. -1.35 Round -15 to the nearest 10. -20 What is -0.000076457 rounded to five dps? -0.00008 Round -0.015549 to three decimal places. -0.016 What is -0.00662 rounded to three dps? -0.007 What is -0.0336 rounded to 2 decimal places? -0.03 Round -0.0092482 to three decimal places. -0.009 Round 0.000006493 to 7 decimal places. 0.0000065 What is 193000 rounded to the nearest 1000000? 0 What is 0.0012854 rounded to four dps? 0.0013 Round -23057.8 to the nearest 1000. -23000 What is 46667000 rounded to the nearest one million? 47000000 Round 45616 to the nearest one thousand. 46000 What is -594.23 rounded to the nearest integer? -594 Round -4.77 to 0 decimal places. -5 Round 624800 to the nearest 100000. 600000 What is 0.00001963 rounded to 6 dps? 0.00002 Round 0.000398841 to six decimal places. 0.000399 What is 0.12277 rounded to 3 dps? 0.123 Round 0.5767 to 1 dp. 0.6 Round 0.005422 to 3 dps. 0.005 What is -53.58 rounded to the nearest ten? -50 What is -36.86 rounded to the nearest integer? -37 What is 32330 rounded to the nearest ten thousand? 30000 What is 0.0069474 rounded to 3 dps? 0.007 What is 0.003931 rounded to 4 decimal places? 0.0039 What is 27130 rounded to the nearest one thousand? 27000 Round 17.916 to one decimal place. 17.9 Round 110 to the nearest 100. 100 What is 11556 rounded to the nearest 1000? 12000 Round -124910000 to the nearest one million. -125000000 Round 106544000 to the nearest one million. 107000000 Round 0.79 to 1 dp. 0.8 What is 0.00002247 rounded to 6 dps? 0.000022 Round -1983.1 to the nearest ten. -1980 What is -62300 rounded to the nearest 1000? -62000 What is -0.0689 rounded to two decimal places? -0.07 Round 0.1988 to two dps. 0.2 What is -1039520 rounded to the nearest 10000? -1040000 Round -0.09309 to 2 decimal places. -0.09 What is 1.861 rounded to one dp? 1.9 Round -1.692 to two decimal places. -1.69 Round -19829 to the nearest one thousand. -20000 Round 0.001734 to four decimal places. 0.0017 Round 0.00000198 to 6 dps. 0.000002 What is -31390000 rounded to the nearest one million? -31000000 Round 0.0000001342 to seven decimal places. 0.0000001 What is -105181000 rounded to the nearest 1000000? -105000000 Round 0.000118 to 5 decimal places. 0.00012 What is 0.002478 rounded to four dps? 0.0025 Round -0.00010192 to five decimal places. -0.0001 Round 0.0047811 to four dps. 0.0048 Round -1.43 to one decimal place. -1.4 What is 772580 rounded to the nearest one hundred thousand? 800000 What is -30.26 rounded to the nearest integer? -30 Round -0.00133691 to 4 decimal places. -0.0013 Round -0.002532 to three dps. -0.003 Round 0.0000041 to five decimal places. 0 Round 824760 to the nearest one hundred thousand. 800000 Round 3348 to the nearest 100. 3300 Round 5133500 to the nearest 100000. 5100000 Round 8730000 to the nearest 1000000. 9000000 Round -7430 to the nearest one thousand. -7000 Round 27.02 to the nearest integer. 27 What is 0.0000001228 rounded to 7 dps? 0.0000001 What is 74.67 rounded to the nearest ten? 70 What is 35330000 rounded to the nearest one million? 35000000 Round -1380000 to the nearest 1000000. -1000000 What is 0.0000012643 rounded to 7 decimal places? 0.0000013 Round -26.6571 to 1 dp. -26.7 Round 0.00163 to three decimal places. 0.002 Round 0.013003 to three decimal places. 0.013 Round 1.998 to 1 decimal place. 2 What is -0.000028149 rounded to 7 dps? -0.0000281 What is 0.0254 rounded to three dps? 0.025 Round -183010000 to the nearest 1000000. -183000000 What is -0.0002208 rounded to 5 dps? -0.00022 What is 1543000 rounded to the nearest 100000? 1500000 What is -113410 rounded to the nearest one thousand? -113000 What is -4.799 rounded to the nearest integer? -5 What is -0.00559611 rounded to 4 dps? -0.0056 What is -379800 rounded to the nearest 1000? -380000 What is -0.00000019804 rounded to seven decimal places? -0.0000002 Round -41500000 to the nearest 1000000. -42000000 What is 0.00005938 rounded to 5 decimal places? 0.00006 What is -132700 rounded to the nearest ten thousand? -130000 What is -0.002094 rounded to four dps? -0.0021 Round 199.94 to zero dps. 200 Round 4986.8 to the nearest ten. 4990 Round -0.00001326 to six dps. -0.000013 Round -0.030998 to 3 decimal places. -0.031 What is -0.0541 rounded to 2 dps? -0.05 What is 0.00000235 rounded to 7 dps? 0.0000024 What is 1.1649 rounded to one decimal place? 1.2 Round 0.00001335 to 6 dps. 0.000013 Round -1.202 to 1 dp. -1.2 What is 8786 rounded to the nearest 1000? 9000 Round 30.799 to 1 dp. 30.8 What is 177870 rounded to the nearest 100000? 200000 Round -0.00817 to 2 decimal places. -0.01 What is 0.00003155 rounded to five decimal places? 0.00003 What is -1.3304 rounded to 1 decimal place? -1.3 What is -485080 rounded to the nearest ten thousand? -490000 Round 0.000037161 to 6 decimal places. 0.000037 Round 120.57 to the nearest integer. 121 What is 21.02 rounded to zero dps? 21 Round -2966100 to the nearest 10000. -2970000 Round 88250000 to the nearest one hundred thousand. 88300000 What is -12398000 rounded to the nearest 100000? -12400000 What is -31.45 rounded to zero decimal places? -31 Round 1103.6 to the nearest 100. 1100 What is -0.000004878 rounded to 7 dps? -0.0000049 Round -0.0108 to three decimal places. -0.011 What is 0.0000011998 rounded to seven dps? 0.0000012 Round -0.44 to 2 dps. -0.44 Round -68811000 to the nearest 100000. -68800000 Round -277.4 to the nearest ten. -280 Round -82.61 to the nearest ten. -80 What is -0.0001308 rounded to 5 decimal places? -0.00013 Round 2961000 to the nearest 100000. 3000000 What is 1975 rounded to the nearest 100? 2000 What is -0.000013313 rounded to six dps? -0.000013 Round 490100 to the nearest one hundred thousand. 500000 Round -0.00005853 to five decimal places. -0.00006 Round -0.000002438 to seven dps. -0.0000024 Round -6340000 to the nearest one hundred thousand. -6300000 Round 3262400 to the nearest one million. 3000000 Round 0.009879 to 4 decimal places. 0.0099 Round 82.663 to the nearest ten. 80 What is -0.00000606061 rounded to seven dps? -0.0000061 What is -5528800 rounded to the nearest ten thousand? -5530000 What is -665.4 rounded to the nearest 100? -700 Round 1811.6 to the nearest one hundred. 1800 What is -174.274 rounded to the nearest ten? -170 Round 5280 to the nearest one thousand. 5000 Round -1380000 to the nearest one million. -1000000 Round 0.14437 to three decimal places. 0.144 What is -0.000041 rounded to five dps? -0.00004 Round -78010 to the nearest ten thousand. -80000 Round -12.896 to 0 dps. -13 What is -11199000 rounded to the nearest 1000000? -11000000 Round 0.007924 to 3 decimal places. 0.008 What is -0.0000020127 rounded to 7 decimal places? -0.000002 What is -0.00003078 rounded to 7 decimal places? -0.0000308 Round -3992900 to the nearest one million. -4000000 What is -169 rounded to the nearest ten? -170 Round 1331000 to the nearest one million. 1000000 Round 15.0906 to one decimal place. 15.1 What is 655 rounded to the nearest 100? 700 Round -136.806 to the nearest ten. -140 Round 82.7 to the nearest integer. 83 Round 1.34114 to one decimal place. 1.3 What is -0.0000010867 rounded to 7 decimal places? -0.0000011 Round -0.0001852 to five dps. -0.00019 What is -0.0000574 rounded to five dps? -0.00006 Round 0.0003904 to four decimal places. 0.0004 Round 1.29735 to two decimal places. 1.3 What is -0.0008044 rounded to 5 decimal places? -0.0008 Round -0.0020505 to four dps. -0.0021 What is 0.00044522 rounded to six dps? 0.000445 What is -7505000 rounded to the nearest 100000? -7500000 What is -0.00006794 rounded to 5 decimal places? -0.00007 Round -119.51 to the nearest integer. -120 What is 3.2 rounded to 0 decimal places? 3 What is -0.03331 rounded to 2 dps? -0.03 What is -71160 rounded to the nearest 10000? -70000 Round -0.00033868 to 5 dps. -0.00034 Round 0.000016374 to 6 dps. 0.000016 What is 221140000 roun
{ "pile_set_name": "DM Mathematics" }
, 0, d, -21, 5. -21, d, 0, 2, 5 Let v be (-1 + 0)/((-6)/60). Let l be (v - 25)/(-1 - -2). Sort 1, l, -2. l, -2, 1 Suppose 0 = -189*q + 1815 + 275 - 389. Sort q, -1, -8, 0, -3 in increasing order. -8, -3, -1, 0, q Let j = -2151835/5046 - 11/15138. Let x = j - -426. Sort 3, -9, -0.4, x in increasing order. -9, x, -0.4, 3 Let j be (-160)/(-15)*(-45)/(-120). Sort 1, 0, -5, 342, j in increasing order. -5, 0, 1, j, 342 Let u = 1928/3 - 642. Let z = -0.24 + 0.14. Put z, 4, u in decreasing order. 4, u, z Let q(n) = -37*n - 1512. Let h be q(-42). Sort 1, -5, h, -4, -1. -5, -4, -1, 1, h Suppose d = t + 4, -4*t - 18 = -9*d + 4*d. Let z be (-3400)/(-495) - 6/(-27). Let o = z + -301/44. Sort 1, o, d in decreasing order. d, 1, o Let c = 4.94 - -0.06. Let r = -5.3 + c. Let y(s) = -13*s**2 + 501*s + 1313. Let n be y(41). Sort 2, n, 3, r in decreasing order. 3, 2, n, r Suppose 0 = -3*c + 333 - 948. Let q = c + 209. Sort 1, -5, 5, q in decreasing order. 5, q, 1, -5 Let z = -120/197 - -2846/5319. Put -297, z, -0.5, -0.1 in decreasing order. z, -0.1, -0.5, -297 Let j = 370.5 - 490.5. Sort j, 2, 1/6 in ascending order. j, 1/6, 2 Let j = 1 + 0. Let y(m) = -m**3 - 11*m**2 - m - 15. Suppose -5*v - 36 = 19. Let l be y(v). Sort l, -6, j in ascending order. -6, l, j Let s be ((1140/(-9))/5)/(8/60). Let i = 191 + s. Let k(x) = 18*x**3 - 2*x - 1. Let u be k(-1). Put u, -5, i in descending order. i, -5, u Let o(c) = -c**2 - 13*c - 20. Let h be o(-9). Suppose -12*p = 64 - h. Sort p, -0.14, 6/7, 2/7. p, -0.14, 2/7, 6/7 Let l be (-8220)/(-13140) + (-1)/((-3)/(-2)). Let b = 85/292 + l. Let o = -3 - -3.1. Sort o, b, 4/7 in ascending order. o, b, 4/7 Let v be (-3)/(-9)*-3*(-6)/3. Let n(r) = -r + 6. Let a be n(7). Sort v, -4, -18, a in decreasing order. v, a, -4, -18 Suppose 35*r - 114 - 48 = 118. Sort -6, -11, r, 4, -1 in increasing order. -11, -6, -1, 4, r Let l = -0.5064 + 0.0064. Put -27, -8, l in decreasing order. l, -8, -27 Let k(j) = -j**2 - 218*j - 11536. Let q be k(-91). Let s(o) = o - 1. Let b be s(-3). Put b, q, 4 in decreasing order. q, 4, b Suppose 0*p = 6*p. Suppose p*k - k = 0. Let h = 106/259 - -6/37. Put h, k, 1/6, -0.2 in descending order. h, 1/6, k, -0.2 Suppose -r = 10 - 6. Let i be (-3 - 1)*(-21)/84. Put -53, r, 0, i in ascending order. -53, r, 0, i Let n be (-10)/4*(-24)/30. Let w(z) = z - 6. Let p be w(9). Suppose -p*a + 13 = -i + 2*i, 14 = -2*a + 5*i. Put n, 5, -3, a in increasing order. -3, n, a, 5 Let u = 2731 - 2465. Sort 4, u, -1. -1, 4, u Let b be 2*(-5)/(-2) + (-20 + 42 - 31). Put 6, -154, b, 0 in increasing order. -154, b, 0, 6 Let r = -1.438 + 3.438. Sort r, 4/5, -29 in increasing order. -29, 4/5, r Let w be ((-288)/140)/(-3) + 2/(-7). Let n = 575 + -567. Sort -2/13, w, n. -2/13, w, n Let n(z) = 2*z**3 + 2*z + 5*z**2 + 9 - 3*z**3 - 4*z. Let i be (143 + -149)*(-5)/6. Let x be n(i). Put 4, -3, x, -6 in decreasing order. 4, x, -3, -6 Let l = 683 - 477. Let i = l + -203. Sort i, 2, -11, 4 in increasing order. -11, 2, i, 4 Let i(t) = -t**2 + 232*t + 1419. Let d be i(-6). Put 18, d, -4, 4, 8 in ascending order. d, -4, 4, 8, 18 Let k(g) = 2*g**2 + 5*g - 2. Let b be k(-3). Suppose 2*y = y + 2*r + 7, -y - 2*r = b. Sort 139, 4, y, 5 in descending order. 139, 5, 4, y Let k be (33/12)/((-42)/(-48)). Let a be (-38)/(-4) + 3/(-6) + -4. Put k, a, 2/9 in increasing order. 2/9, k, a Let v = 408.57 + -406.57. Sort -1/23, v, 28, 0.2 in descending order. 28, v, 0.2, -1/23 Let r be 136/4 - (-7 + 5). Suppose 3*v = -6*v + r. Suppose v*n = 5*n + 2. Sort n, 13, -5. -5, n, 13 Let g(x) = -3*x**3 - 3*x**2 - 3*x - 1. Let a be g(-2). Let j(w) = -w + 13. Let h be j(14). Let b = h - a. Sort 1, b, -4 in ascending order. b, -4, 1 Let c be (511 - (-1 - -2)) + 1. Let y = c + -301. Let m be (12/(-10))/(7/(y/(-9))). Sort m, 3, 2, -1. -1, 2, 3, m Let r = 89 + -161. Let x = -68 - r. Suppose 0*c + c + 3*q - 10 = 0, -2*c + x = -2*q. Sort c, 12, 5 in decreasing order. 12, 5, c Let d = 0.028 - 0.128. Sort 0, d, -11 in descending order. 0, d, -11 Let d = 1.82 - -62.18. Let n = -68 + d. Put -0.9, n, 0 in ascending order. n, -0.9, 0 Let m be 2/22*0 - 3. Let o(s) = s**3 + 18*s**2 + s - 29. Let b be o(-18). Put b, 2, m in decreasing order. 2, m, b Let i be (-6)/(-9)*(48/(-84))/(10/105). Let f = 4 - 2. Suppose -f*w - 3*w = 10. Put w, i, 10 in descending order. 10, w, i Suppose -x = 5*v - 57, 5*v - 2*v - 51 = 5*x. Suppose 3*s = 2*q, 0 = -q - 15*s + 12*s - 9. Let a = -298 + 293. Put a, q, v in ascending order. a, q, v Let l = -58.7 - -59. Suppose -345*x + 357*x = 48. Sort 2/7, l, x, -1/7. -1/7, 2/7, l, x Let n be (-4)/(-18)*3/5. Let s = 23280 - 162958/7. Sort -3, n, s, 1 in descending order. 1, s, n, -3 Let j = -2.02 + 0.12. Let m = j + 1.7. Sort -2, m, 24. -2, m, 24 Let q = -0.462 + 0.442. Let f = -0.458 + -1.542. Sort f, 2/13, 0, q. f, q, 0, 2/13 Suppose 2*k + 5*v + 37 = 0, v = -0*k + 3*k + 47. Let m be (-24)/k*(-4)/(-3). Let a be (-5 - (-6)/4*104/39)*-1. Sort m, a, 10. a, m, 10 Let b be 4*(-14 - -12 - -3). Sort -50, -1, b, 5 in descending order. 5, b, -1, -50 Suppose -17*n - 171 + 102 = -103. Put 1/6, n, 109 in decreasing order. 109, n, 1/6 Suppose -2*q + 5*t + 6 = 0, q - 48 = -t - 52. Let m be 2*(-3)/(4 + 2). Suppose 3*c - c = -4*p - 42, 0 = 3*c - 2*p + 95. Put m, -4, c, q in descending order. m, q, -4, c Let t = 1376 - 1381. Let v(o) = -o**3 - 6*o**2 + 4*o - 4. Let d be v(-7). Suppose -3*n + 33 = 3*l, -n = 4*l - l - d. Sort t, -1, n in ascending order. t, -1, n Let l be (-9)/15*-10 + ((-102)/30 - 2). Sort -2/3, -1/5, l, -147. -147, -2/3, -1/5, l Let x = -575 + 599. Put x, -1, 7, 4 in decreasing order. x, 7, 4, -1 Let s = 0 + -2. Let h be -13*2921/(-2093) - 18. Put s, h, -5/2 in ascending order. -5/2, s, h Let f be -21*(-1)/34 + (-3)/6. Let k be 84/3*((-45)/(-10) + -2). Let g = k - 209/3. Put f, 3, g in descending order. 3, g, f Let n = -318.1 - -318.2. Let c = -12 + 12.11. Sort -3, c, n in decreasing order. c, n, -3 Let y(g) = g + 9. Let c(p) = p**3 - 8*p**2 + 10*p + 3. Let f be c(6). Let q be y(f). Let b be (-2)/(-6) - 42/18. Sort 3, -3, q, b in decreasing order. 3, q, b, -3 Let o = 0.068 - -0.032. Let m = -0.2 + 0.7. Let p = 0.357 - 0.157. Put o, -5, m, p in decreasing order. m, p, o, -5 Let g be (-2 - -1*2) + 2 + 267. Let h = 2149/8 - g. Suppose -2*f = -f - 3. Sort f, h, -0.4 in ascending order. -0.4, h, f Suppose 5*q - 3485 = -5*z, 2*q - 2*z = -0*q + 1406. Let o be q/(-40) - 1*(-2)/(-4). Sort 0, -3, o. o, -3, 0 Suppose 5*g - 6*f + 30 = -f, -2 = -f. Let i(y) = -2*y**3 + 3*y**2 - 48*y + 100. Let j be i(2). Put -3, j, g in descending order. j, -3, g Let o = -4 + -1. Let n(d) = -d - 7. Let q be n(o). Suppose 2*j = 5*y + 20, 3*y + 7*j = -57 + 127. Put 1, y, -8, q in descending order. 1, y, q, -8 Let y be 3 + 40 + 1 + 6. Suppose 18*x = 4 + y. Put x, 2, 28 in ascending order. 2, x, 28 Let h(m) = -m**3 - 18*m**2 + m + 2. Let d be h(0). Sort 16, 0, d, -4. -4, 0, d, 16 Let a(h) = h**3 - 10*h**2 - h + 7. Let f be a(10). Suppose -14*d - 20 = 25 + 11. Sort 5, f, d, 42. d, f, 5, 42 Let u be (10 - 4) + (4 - 60/(6/1)). Sort u, -5, -2413. -2413, -5, u Suppose -1666*q = -1661*q + 25. Put -3, 0, q, 15 in increasing order. q, -3, 0, 15 Suppose 14*w - 170 = -46 - 54. Let b be (-3)/(0 + 3) + 13. Suppose o + 3*o + b = 0. Put -4, o, w in decreasing order. w, o, -4 Let v be (-4)/(-18) + 922/(-18). Let y be 0 + 3/15 + (-3092)/60. Let n = y - v. Sort n, -0.4, -0.1, 0.2. -0.4, n, -0.1, 0.2 Let z be ((-1)/1 - -2) + 2. Suppose -r - 5*u - 5 = 0, 0*r - 5*r - 2*u - 2 = 0. Suppose 3*v - 1717 + 1705 = 0. Sort z, -4, v, r in ascending order. -4, r, z, v Let b(q) = 162*q**2 - 1297*q + 2. Let n be b(8). Put n, 64, -7 in decreasing order. 64, n, -7 Let v = 20.9 - 20.9. Let x = -935/7 - -133. Put x, 2, v, 3/5 in decreasing order. 2, 3/5, v, x Let r = -36 + -12. Let a = r + 50. Suppose 6*f - a*f = 24. Put 0.3, 2/17, f, -1 in descending order. f, 0.3, 2/17, -1 Suppose -3 = -i - 6. Suppose -3*v + 32 = 8. Suppose -7*l - 1 + v = 0. Sort l, 2, i, -4 in descending order. 2, l, i, -4 Let q = -507 - -511. Suppose 15*v - 17*v = 6. Sort -12, q, v in increasing order. -12, v, q Let z = -6 - -1. Let g = -46896 + 46888. Sort g, 0.3, z in decreasing order. 0.3, z, g Let d = -20522/15 - -4105/3. Let m = -23 + 13. Sort 4, 1/3, m, d in decrea
{ "pile_set_name": "DM Mathematics" }
n 1 - 0 - (y + 0) is divided by 2. 0 Suppose 56 = 6*y - 106. Calculate the remainder when 49 is divided by y. 22 Let w = 1047 + -1025. Let k(m) = m**3 - 3*m**2 + m + 2. Calculate the remainder when w is divided by k(3). 2 Suppose -3*w + 4*w = 33. Suppose -4*x + w = 9. What is the remainder when ((-24)/(-6))/((-2)/(-4)) is divided by x? 2 Let d be 0 - -4 - (1 + -2). Suppose m + 2*m = d*s + 83, -4*s + 20 = 0. Calculate the remainder when m is divided by 20. 16 Let w = 62 + -58. What is the remainder when 13 is divided by w? 1 Calculate the remainder when 62 is divided by (-18)/6*64/(-24). 6 Suppose -9*w = -12*w + 2601. Calculate the remainder when w is divided by 87. 84 Suppose 5*j - 3*j - y - 32 = 0, 4*y + 68 = 4*j. Let f = 17 - j. Suppose 0 = -t - 0*p - 5*p + f, -3*p + 2 = t. What is the remainder when t is divided by 2? 0 Let h(q) = -11*q - 8. Let t(n) = -15 - 10*n + 14 - 7. Let i(r) = -3*h(r) + 4*t(r). What is the remainder when 57 is divided by i(-4)? 17 Let n(p) = -28*p**2 + 2*p + 27*p**2 + 0*p + 5. Let h be n(0). Suppose 4*d - 3 - h = -4*k, 3*k = d - 22. Calculate the remainder when 11 is divided by d. 4 Let h = 93 + -48. Calculate the remainder when h is divided by 12. 9 Suppose 0 = -14*c + 427 - 7. What is the remainder when c is divided by 8? 6 Suppose 2*c = -3*y + 81, -2*y + 3*c = -c - 38. Let j be (-3)/((8/(-134))/4). Let d = j + -78. What is the remainder when d is divided by y? 23 Suppose -20 = 4*k, -3*d - 4*k - 86 = -5*d. Let u(y) = -y + 29. Calculate the remainder when d is divided by u(20). 6 Let r(s) = -s**3 - s**2 + 5*s + 4. Let h be r(-3). Suppose -36 = -h*o + 5*o. Calculate the remainder when 68 is divided by o. 14 Let k(m) = m**3 + 36*m**2 - 79*m + 104. Calculate the remainder when k(-38) is divided by 55. 53 Suppose 3*v - 108 = 96. Let o be v/(-2)*-1 + -3. Suppose -35*k = -o*k - 436. Calculate the remainder when k is divided by 28. 25 Let h(y) = y**2 + y - 5. Let w be h(-5). Suppose -16*g - w = -21*g. Calculate the remainder when (g + -41)*(-2 + 1) is divided by 20. 18 Let i = 990 - 913. What is the remainder when i is divided by 17? 9 Suppose 0*d - 3*v = d - 33, 0 = -2*v + 10. Let a = 0 - 2. Let m(w) = -2*w + 1. Calculate the remainder when d is divided by m(a). 3 Let u = 21 + 5. Suppose s - v = -3*s + 8, -4*s = 2*v - 8. Suppose 2*h - u - 111 = -3*w, 10 = -s*h. What is the remainder when w is divided by 25? 24 Suppose 2*i = 6*i - 144. Let x = 53 - i. What is the remainder when x is divided by (2/4)/((-6)/(-108))? 8 Suppose 0 = -4*w - 23 + 151. Let d(u) = 2*u**3 + 20*u**2 + 34*u + 22. What is the remainder when w is divided by d(-8)? 2 Let m = 316 - 310. What is the remainder when 57 is divided by m? 3 Let q be ((-3)/6)/(4/136). Let h = 43 - q. What is the remainder when 39 is divided by (h/8)/(3/4)? 9 Let x = 116 + -122. Let r(w) = -4*w - 22. What is the remainder when 4 is divided by r(x)? 0 Let t be (-296)/(-10) - (-26)/65. Suppose 4*d = 3*d + 5*v + t, 5*d + v - 202 = 0. What is the remainder when 118 is divided by d? 38 Suppose 0*q - 4 = 4*u - q, 12 = 3*u + 3*q. Let m = u + 47. What is the remainder when m is divided by 25? 22 Let v(g) = g**3 + g**2 - 2*g + 16. Let a be -4 - 4/6*-6. What is the remainder when v(a) is divided by 3*2 - 0/(-1)? 4 Suppose l - 4*r = 4 - 8, 4*r = 3*l - 4. Suppose 0 = g - l*i - 17, 0 = 2*g - 2*i + i - 48. Calculate the remainder when 97 is divided by g. 22 Let l = 67 + -21. Suppose -2*i = -4*i + l. Suppose -2*r + o + 23 = 0, 3*r - 3*o = i + 13. Calculate the remainder when r is divided by 3. 2 Let v(j) = 3*j + 60. Let l be v(-20). Let u(z) = -z**3 + 9*z**2 - 2*z + 7. Calculate the remainder when u(6) is divided by 0 + 36 - (l + -3 - -4). 33 Suppose 6*c + 220 = 8*c. Let j = -34 + 62. Calculate the remainder when c is divided by j. 26 Let d(k) = -7*k**3 - 2*k - 1. Let o be 4/6*(-6)/4. What is the remainder when 14 is divided by d(o)? 6 Let g = -89 - -84. Let c(r) = r**3 + 3*r**2 - 10*r + 5. What is the remainder when 11 is divided by c(g)? 1 Suppose 4*s + 109 = 5*f, 54 + 5 = -2*s + f. Let d = s + 43. Let k(r) = 2*r - 9. What is the remainder when d is divided by k(8)? 5 Let s = 3 + 8. Let y = s + -7. Suppose 3*o + 2*u - 23 = 0, -y*o + 64 = u + 25. Calculate the remainder when 20 is divided by o. 9 Let a = 215 + -209. What is the remainder when 117 is divided by a? 3 Let b = -8 - 3. Let v = b - -14. Calculate the remainder when 1 + 2 + 3 + v is divided by 6. 3 Suppose 0 = 2*o - 7*o + 395. Let j = o + -71. Calculate the remainder when 47 is divided by j. 7 Let l = 263 + -175. Suppose -2*o + 4*o = -n + 35, 0 = 5*o + 2*n - l. What is the remainder when 51 is divided by o? 15 Suppose 0 = 11*x - 1572 - 5732. What is the remainder when x is divided by 95? 94 Let x(w) = -w**3 + 6*w**2 + 9*w + 11. Let y be x(8). Let d = y + 51. What is the remainder when 41 is divided by d? 5 Calculate the remainder when 3 - -123 - -6 - 7 is divided by 16. 13 Suppose t - 10*t = 99. Let k = 14 - t. Calculate the remainder when k is divided by 7. 4 Let l(i) = 2*i - 4. Let c(o) = -o**2 - 11*o + 11. Let k be c(-11). Let z = 52 - 1. Calculate the remainder when z is divided by l(k). 15 What is the remainder when -24*(-2 + 0)*(-50)/(-8) is divided by 63? 48 Let a = -1961 - -1995. What is the remainder when a is divided by 21? 13 Let r = -1935 - -2565. What is the remainder when r is divided by 71? 62 Let o = -188 + 329. Suppose -q - 2*q + o = 0. What is the remainder when q is divided by (-3 + 3 + -8)*-2? 15 Suppose -2*b = 2*b - 2*q + 8, -b + 4 = q. Suppose b = 5*t + 4*y - 46, -t - 5*y = -5*t + 4. What is the remainder when t is divided by 4? 2 Let x = 108 - 110. Calculate the remainder when 80 is divided by (-43)/x - 20/40. 17 Suppose -25 = -5*i, -2*q + 3 = -3*i + 4. Suppose 2*k + 2 = 3*p + 3*k, 3*p - 5*k - 26 = 0. What is the remainder when q is divided by 4/p*(-4)/(24/(-15))? 2 Suppose -i + 369 = p, -67*p - 363 = -i - 62*p. Calculate the remainder when i is divided by 41. 40 Suppose -15*i - 30 = -17*i. Suppose -8*s = -5*s - i. Suppose 1 = -s*z + 26. What is the remainder when 13 is divided by z? 3 Suppose 3*j + 8*c - 10*c = 29, -3*j + 34 = -c. Let g = 67 - 38. What is the remainder when g is divided by j? 3 Suppose -2*x = 0, 5*a + 6*x + 30 = 3*x. Let q(j) = -11 - 10 - j - 4*j. What is the remainder when 23 is divided by q(a)? 5 Let y = -174 - -184. What is the remainder when y is divided by 9? 1 Suppose -13*q = -409 - 306. Calculate the remainder when 125 is divided by q. 15 Let d(a) = a**2 - 4*a + 2. Let z = 51 - 26. What is the remainder when d(-5) is divided by z? 22 Let w = -810 - -1600. Calculate the remainder when w is divided by 61. 58 Suppose -4*x + 184 = 5*i - 0*i, -2*x = -i + 48. Let o = i - -20. Let p(f) = -19*f - 17. What is the remainder when o is divided by p(-2)? 18 Suppose 0 = a - 48 - 39. What is the remainder when a is divided by ((-171)/133)/((-1)/35)? 42 Let r(g) = g**2 - 44*g - 105. Calculate the remainder when 86 is divided by r(47). 14 Let r = -2 + 44. Let f = r + -21. Let b = -89 - -97. What is the remainder when f is divided by b? 5 Suppose 5*n = -5*l - 50, -5*l - 4*n = 12 + 43. Let p(a) = -3*a + 19. What is the remainder when p(l) is divided by 17? 13 Let q(p) = -p**2 + 6*p + 7. Calculate the remainder when (-6369)/(-165) - ((-4)/5)/2 is divided by q(6). 4 Let p = 20 + 57. Let d(m) = m**3 + 5*m**2 - m + 11. What is the remainder when p is divided by d(-5)? 13 Let j(l) = -2*l + 36. Let v(c) = 26*c - 6. Calculate the remainder when v(2) is divided by j(6). 22 Suppose 0 = 6*w - w. Suppose 4*x + k = 213, w*k - k - 52 = -x. Suppose i = -3*s + 2*i + 46, 4*s - 2*i = 64. Calculate the remainder when x is divided by s. 11 Let n = -3 + 17. Suppose -9 = -w + n. What is the remainder when 43 is divided by w? 20 Let w be -2*(-1)/((-2)/(-27)). Let m = -16 + w. Let j = -13 + 45. What is the remainder when j is divided by m? 10 Let p(o) = o**3 - 25*o**2 + 37*o - 54. What is the remainder when p(24) is divided by 37? 36 Suppose 0 = 2*c - 2*j - 124, -9*j = -10*j - 4. Calculate the remainder when c is divided by 30. 28 Suppose -4*v = -3*v + 2*r - 11, -2*v - 23 = -5*r. Let u = v + 1. Suppose u*s = 4, -26 = -0*w - 4*w - s. What is the remainder when 22 is divided by w? 4 Let x(j) = -j**2 + 12*j + 2. Let f(l) = -4
{ "pile_set_name": "DM Mathematics" }
lculate prob of picking 1 a, 1 h, and 1 j when three letters picked without replacement from {b: 4, j: 2, h: 2, a: 4}. 4/55 Three letters picked without replacement from eefevpevpp. What is prob of picking 1 p, 1 e, and 1 v? 1/5 Four letters picked without replacement from ffltqttllltnf. What is prob of picking 4 l? 1/715 What is prob of picking 2 j when two letters picked without replacement from {j: 7, b: 2}? 7/12 What is prob of picking 1 v, 1 r, and 1 g when three letters picked without replacement from vrrgr? 3/10 Two letters picked without replacement from {c: 3, z: 1, i: 3, q: 2, g: 3, m: 1}. Give prob of picking 1 z and 1 c. 1/26 What is prob of picking 4 y when four letters picked without replacement from yyyyeyyeey? 1/6 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from zfgoofooo. 5/36 Three letters picked without replacement from dldddddsddddddldl. What is prob of picking 1 s and 2 l? 3/680 Two letters picked without replacement from {y: 12, p: 3}. What is prob of picking 1 p and 1 y? 12/35 Calculate prob of picking 2 x, 1 y, and 1 d when four letters picked without replacement from ddyddddxyxddddd. 22/1365 What is prob of picking 1 v and 1 d when two letters picked without replacement from vdvjjddvdddddvdv? 3/8 Calculate prob of picking 1 u, 1 m, 1 w, and 1 r when four letters picked without replacement from {r: 1, w: 1, o: 1, u: 1, m: 1}. 1/5 Four letters picked without replacement from gggggmggggmg. Give prob of picking 4 g. 14/33 Three letters picked without replacement from {l: 11, t: 1, y: 1, q: 2, i: 1}. What is prob of picking 2 q and 1 i? 1/560 What is prob of picking 1 p and 1 z when two letters picked without replacement from {z: 6, s: 2, t: 2, p: 1, o: 1}? 1/11 Four letters picked without replacement from pppppnppppppp. What is prob of picking 1 n and 3 p? 4/13 Three letters picked without replacement from ziuyiuiiyizyiiiiiiii. Give prob of picking 2 u and 1 y. 1/380 Four letters picked without replacement from {t: 2, m: 1, s: 2}. Give prob of picking 2 s and 2 t. 1/5 What is prob of picking 1 o and 1 h when two letters picked without replacement from {q: 2, h: 2, x: 4, o: 4}? 4/33 Three letters picked without replacement from {m: 3, z: 1, u: 2, e: 1}. Give prob of picking 1 e and 2 u. 1/35 What is prob of picking 2 b when two letters picked without replacement from {b: 4, q: 15}? 2/57 What is prob of picking 1 j, 1 a, and 1 o when three letters picked without replacement from aofuojuuuuoj? 3/110 Two letters picked without replacement from {w: 2, t: 2, b: 5}. Give prob of picking 2 w. 1/36 What is prob of picking 1 k and 1 g when two letters picked without replacement from gesskgsssseekgg? 8/105 What is prob of picking 1 y and 1 i when two letters picked without replacement from {b: 2, i: 1, y: 3, n: 3, e: 1, m: 1}? 3/55 Four letters picked without replacement from oggoghggzhgggyojgg. What is prob of picking 3 z and 1 h? 0 What is prob of picking 2 s and 1 q when three letters picked without replacement from {s: 2, q: 17}? 1/57 Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {i: 2, g: 2, o: 1, k: 2, t: 3, y: 2}. 1/33 Three letters picked without replacement from {t: 2, c: 1, y: 1, h: 2, p: 1, l: 2}. Give prob of picking 1 c, 1 l, and 1 t. 1/21 What is prob of picking 1 t and 3 m when four letters picked without replacement from {f: 1, e: 1, t: 4, m: 5}? 4/33 Calculate prob of picking 1 i and 1 k when two letters picked without replacement from ikkiikikik. 5/9 What is prob of picking 2 o, 1 s, and 1 e when four letters picked without replacement from {s: 2, o: 2, e: 10}? 20/1001 What is prob of picking 1 s, 1 k, and 1 g when three letters picked without replacement from eekzlgslz? 1/84 Two letters picked without replacement from vzgggvegzevgvve. What is prob of picking 1 e and 1 g? 1/7 Four letters picked without replacement from wwyccjcc. Give prob of picking 1 c, 2 j, and 1 w. 0 Calculate prob of picking 2 t and 2 o when four letters picked without replacement from {o: 3, t: 3}. 3/5 Three letters picked without replacement from {d: 4}. What is prob of picking 3 d? 1 What is prob of picking 1 f and 1 b when two letters picked without replacement from {b: 2, f: 2, y: 2}? 4/15 What is prob of picking 3 l when three letters picked without replacement from {t: 4, o: 2, l: 3}? 1/84 Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {a: 1, j: 1, e: 1, s: 2}. 1/10 Calculate prob of picking 1 x, 1 h, and 1 d when three letters picked without replacement from {q: 1, d: 2, c: 1, j: 1, x: 2, h: 1}. 1/14 Three letters picked without replacement from {s: 3, a: 3, z: 8, o: 2}. What is prob of picking 2 z and 1 s? 3/20 What is prob of picking 1 v, 1 t, and 1 l when three letters picked without replacement from elveltlvvesll? 15/286 Two letters picked without replacement from {b: 1, u: 5, o: 5, t: 3, f: 6}. Give prob of picking 2 f. 3/38 Four letters picked without replacement from sbbfjbjfjfjbjbs. Give prob of picking 2 s and 2 j. 2/273 Calculate prob of picking 1 c and 3 z when four letters picked without replacement from {c: 3, s: 4, z: 4}. 2/55 What is prob of picking 2 o when two letters picked without replacement from wowluuwcololwollc? 3/68 Two letters picked without replacement from zestsem. Give prob of picking 1 z and 1 t. 1/21 Four letters picked without replacement from tkiznzk. Give prob of picking 1 n, 1 t, and 2 z. 1/35 Calculate prob of picking 1 k, 1 g, and 1 b when three letters picked without replacement from kobiiogkbyib. 3/110 Two letters picked without replacement from ngwgwnngggnwwggwwnw. What is prob of picking 1 w and 1 n? 35/171 Three letters picked without replacement from jrgjgakk. What is prob of picking 1 g and 2 j? 1/28 What is prob of picking 1 q and 1 x when two letters picked without replacement from bqxxq? 2/5 Calculate prob of picking 2 k, 1 i, and 1 f when four letters picked without replacement from {j: 1, k: 2, g: 2, f: 1, i: 1}. 1/35 Two letters picked without replacement from eeeesesesse. Give prob of picking 2 s. 6/55 Calculate prob of picking 4 d when four letters picked without replacement from {j: 1, d: 7}. 1/2 What is prob of picking 3 l when three letters picked without replacement from xillloloxoxilooiol? 5/204 Calculate prob of picking 2 t when two letters picked without replacement from tatat. 3/10 What is prob of picking 1 c and 1 f when two letters picked without replacement from cffcbcffcfcb? 25/66 Four letters picked without replacement from {g: 7, m: 3}. What is prob of picking 3 g and 1 m? 1/2 What is prob of picking 1 e and 1 i when two letters picked without replacement from {w: 1, e: 7, i: 1}? 7/36 Calculate prob of picking 3 w when three letters picked without replacement from {c: 2, x: 1, w: 1, k: 6, p: 9}. 0 Four letters picked without replacement from {y: 2, o: 4, z: 2, w: 2}. What is prob of picking 1 z, 2 y, and 1 w? 2/105 Calculate prob of picking 1 c, 1 p, and 1 w when three letters picked without replacement from ekcpwcp. 4/35 Two letters picked without replacement from {j: 1, m: 1, u: 1}. What is prob of picking 1 u and 1 j? 1/3 Four letters picked without replacement from goskkibkggi. Give prob of picking 1 b, 2 k, and 1 g. 3/110 What is prob of picking 1 a and 1 c when two letters picked without replacement from {a: 6, e: 1, c: 3, f: 1, l: 3}? 18/91 Two letters picked without replacement from djnhh. Give prob of picking 1 d and 1 j. 1/10 Three letters picked without replacement from iiiilliiliiiii. Give prob of picking 1 i and 2 l. 33/364 Two letters picked without replacement from kuuuumuqkiii. What is prob of picking 1 k and 1 i? 1/11 Calculate prob of picking 2 s when two letters picked without replacement from {s: 6, b: 2}. 15/28 Four letters picked without replacement from wwwdbqbvzwvwwzz. Give prob of picking 1 d, 1 q, and 2 z. 1/455 Calculate prob of picking 1 l and 1 d when two letters picked without replacement from lrrddwrdrrqlld. 12/91 Two letters picked without replacement from bpbppbppbbppbbpdb. Give prob of picking 1 p and 1 b. 8/17 What is prob of picking 3 m when three letters picked without replacement from momom? 1/10 Three letters p
{ "pile_set_name": "DM Mathematics" }
m of 141, 369, 595, 819, 1041, 1261, 1479? -w**2 + 231*w - 89 What is the c'th term of -676, -1968, -3260, -4552, -5844, -7136? -1292*c + 616 What is the k'th term of 6118, 24475, 55072, 97909, 152986, 220303? 6120*k**2 - 3*k + 1 What is the z'th term of -247907, -495809, -743711, -991613, -1239515? -247902*z - 5 What is the z'th term of -200, -381, -562? -181*z - 19 What is the u'th term of -23638, -47291, -70932, -94555, -118154, -141723, -165256, -188747? u**3 - 23660*u + 21 What is the z'th term of -5395, -10563, -15729, -20893, -26055, -31215, -36373? z**2 - 5171*z - 225 What is the h'th term of -4099, -4095, -4087, -4075, -4059, -4039? 2*h**2 - 2*h - 4099 What is the u'th term of -979175, -979177, -979179, -979181, -979183? -2*u - 979173 What is the y'th term of -179098, -179120, -179156, -179206? -7*y**2 - y - 179090 What is the o'th term of 2056, 8217, 18482, 32851, 51324, 73901? 2052*o**2 + 5*o - 1 What is the b'th term of -3428, -3632, -3976, -4466, -5108, -5908? -b**3 - 64*b**2 - 5*b - 3358 What is the v'th term of 10, -116, -492, -1244, -2498, -4380, -7016? -21*v**3 + v**2 + 18*v + 12 What is the z'th term of -1200, -1224, -1264, -1326, -1416, -1540, -1704? -z**3 - 2*z**2 - 11*z - 1186 What is the w'th term of 32, -1029, -3182, -6427, -10764, -16193? -546*w**2 + 577*w + 1 What is the b'th term of 1201, 1173, 1151, 1135? 3*b**2 - 37*b + 1235 What is the t'th term of -8308542, -8308544, -8308546, -8308548, -8308550? -2*t - 8308540 What is the k'th term of -18984, -19027, -19072, -19119, -19168, -19219, -19272? -k**2 - 40*k - 18943 What is the f'th term of 92, 77, 60, 41, 20? -f**2 - 12*f + 105 What is the t'th term of 172, 507, 1042, 1777? 100*t**2 + 35*t + 37 What is the q'th term of -487, -941, -1363, -1735, -2039? 3*q**3 - 2*q**2 - 469*q - 19 What is the l'th term of 1376949, 1376948, 1376947? -l + 1376950 What is the y'th term of 12151, 24311, 36469, 48625, 60779, 72931? -y**2 + 12163*y - 11 What is the a'th term of 45311, 45339, 45367, 45395, 45423? 28*a + 45283 What is the r'th term of -8102, -16346, -24590, -32834, -41078? -8244*r + 142 What is the m'th term of -19957, -20021, -20127, -20275? -21*m**2 - m - 19935 What is the n'th term of -967, -893, -695, -313, 313, 1243, 2537? 10*n**3 + 2*n**2 - 2*n - 977 What is the k'th term of -347, -461, -525, -533, -479, -357, -161, 115? k**3 + 19*k**2 - 178*k - 189 What is the z'th term of -761, -2487, -5371, -9419, -14637, -21031? -z**3 - 573*z**2 - 187 What is the h'th term of -331, -306, -245, -136, 33, 274, 599, 1020? 2*h**3 + 6*h**2 - 7*h - 332 What is the y'th term of -23804, -23630, -23454, -23276, -23096? y**2 + 171*y - 23976 What is the x'th term of -593, -1167, -1731, -2285, -2829? 5*x**2 - 589*x - 9 What is the o'th term of -129, -82, 31, 240, 575, 1066, 1743? 5*o**3 + 3*o**2 + 3*o - 140 What is the s'th term of 89, 62, 15, -52, -139, -246, -373? -10*s**2 + 3*s + 96 What is the j'th term of 7481, 7527, 7655, 7907, 8325, 8951, 9827? 7*j**3 - j**2 + 7475 What is the b'th term of -581, -1162, -1745, -2330, -2917? -b**2 - 578*b - 2 What is the q'th term of 173447, 173455, 173473, 173507, 173563, 173647, 173765, 173923? q**3 - q**2 + 4*q + 173443 What is the j'th term of 7146, 7158, 7186, 7236, 7314, 7426? j**3 + 2*j**2 - j + 7144 What is the t'th term of -21121, -84521, -190187, -338119, -528317? -21133*t**2 - t + 13 What is the g'th term of 587, 779, 1097, 1541, 2111, 2807? 63*g**2 + 3*g + 521 What is the v'th term of -200717, -401432, -602147? -200715*v - 2 What is the n'th term of -8699, -8689, -8675, -8657, -8635, -8609? 2*n**2 + 4*n - 8705 What is the p'th term of 253445, 506894, 760345, 1013798, 1267253, 1520710, 1774169? p**2 + 253446*p - 2 What is the c'th term of 52, 666, 2348, 5632, 11052, 19142? 89*c**3 - 9*c - 28 What is the f'th term of 45, 9, -25, -51, -63, -55? f**3 - 5*f**2 - 28*f + 77 What is the w'th term of -166, -169, -166, -151, -118, -61, 26? w**3 - 3*w**2 - w - 163 What is the w'th term of 36024, 72046, 108068, 144090? 36022*w + 2 What is the t'th term of 2204, 2013, 1804, 1571, 1308? -t**3 - 3*t**2 - 175*t + 2383 What is the j'th term of -839, -3534, -8083, -14486, -22743, -32854, -44819? -927*j**2 + 86*j + 2 What is the f'th term of 1060, 1043, 1032, 1027? 3*f**2 - 26*f + 1083 What is the f'th term of 16924, 16912, 16900, 16888? -12*f + 16936 What is the a'th term of -63311, -126587, -189875, -253181, -316511, -379871? -a**3 - 63269*a - 41 What is the m'th term of 7691745, 15383491, 23075237? 7691746*m - 1 What is the o'th term of 2064, 4150, 6236, 8322? 2086*o - 22 What is the c'th term of 1070782, 2141564, 3212346, 4283128? 1070782*c What is the t'th term of -48121, -48123, -48125, -48127, -48129, -48131? -2*t - 48119 What is the b'th term of 20, 131, 344, 677, 1148? 3*b**3 + 33*b**2 - 9*b - 7 What is the q'th term of -19869, -39794, -59719, -79644, -99569? -19925*q + 56 What is the f'th term of 2077, 2106, 2137, 2170, 2205, 2242, 2281? f**2 + 26*f + 2050 What is the u'th term of -20893, -41778, -62663, -83548, -104433? -20885*u - 8 What is the l'th term of -65, -98, -59, 88, 379, 850, 1537? 6*l**3 - 75*l + 4 What is the m'th term of -236096, -236091, -236086, -236081? 5*m - 236101 What is the d'th term of -1859, -3609, -5359, -7109? -1750*d - 109 What is the q'th term of -275, -1145, -2597, -4631, -7247, -10445? -291*q**2 + 3*q + 13 What is the f'th term of 2152, 3543, 4934, 6325, 7716, 9107? 1391*f + 761 What is the w'th term of 1308, 2643, 3978, 5313, 6648? 1335*w - 27 What is the i'th term of -167, -271, -373, -473? i**2 - 107*i - 61 What is the r'th term of 1616, 12969, 43794, 103829, 202812, 350481? 1623*r**3 - 2*r**2 - 2*r - 3 What is the x'th term of -516, -536, -570, -618, -680, -756? -7*x**2 + x - 510 What is the k'th term of 971, 977, 995, 1031, 1091, 1181, 1307? k**3 - k + 971 What is the g'th term of 28413, 113679, 255797, 454767, 710589, 1023263? 28426*g**2 - 12*g - 1 What is the j'th term of 60, 37, -58, -267, -632, -1195, -1998? -7*j**3 + 6*j**2 + 8*j + 53 What is the d'th term of 47449, 94900, 142351, 189802, 237253, 284704? 47451*d - 2 What is the u'th term of 971, 1948, 2939, 3950, 4987, 6056, 7163, 8314? u**3 + u**2 + 967*u + 2 What is the n'th term of -330870, -330871, -330872, -330873, -330874, -330875? -n - 330869 What is the y'th term of 99238, 396955, 893148, 1587817, 2480962? 99238*y**2 + 3*y - 3 What is the x'th term of 4188, 8398, 12628, 16878? 10*x**2 + 4180*x - 2 What is the k'th term of 841, 1638, 2435, 3232, 4029? 797*k + 44 What is the x'th term of -22504, -89922, -202292, -359620, -561912, -809174, -1101412, -1438632? -x**3 - 22470*x**2 - x - 32 What is the g'th term of -10754, -21505, -32272, -43061, -53878, -64729? -g**3 - 2*g**2 - 10738*g - 13 What is the l'th term of -22832, -22841, -22852, -22865, -22880, -22897, -22916? -l**2 - 6*l - 22825 What is the w'th term of 49, -6, -63, -122, -183? -w**2 - 52*w + 102 What is the f'th term of 614, 2476, 5600, 9986, 15634, 22544, 30716? 631*f**2 - 31*f + 14 What is the r'th term of 31, -85, -417, -1085, -2209? -20*r**3 + 12*r**2 - 12*r + 51 What is the u'th term of -64, -372, -1168, -2686, -5160? -39*u**3 - 10*u**2 - 5*u - 10 What is the j'th term of -2151, -4320, -6489, -8658? -2169*j + 18 What is the p'th term of -218, -708, -1468, -2504, -3822, -5428? -p**3 - 129*p**2 - 96*p + 8 What is the z'th term of -269, -299, -385, -557, -845, -1279, -1889, -2705? -5*z**3 + 2*z**2 - z - 265 What is the v'th term of -595, -1178, -2149, -3508, -5255, -7390, -9913? -194*v**2 - v - 400 What is the u'th term of -117588, -235177, -352766, -470355, -587944, -705533? -117589*u + 1 What is the l'th term of 32370, 32365, 32360? -5*l + 32375 What is the k'th term of 92319, 184527, 276733, 368937? -k**2 + 92211*k + 109 What is the u'th term of 150, 390, 690, 1050, 1470, 1950, 2490? 30*u**2 + 150*u - 30 What is the h'th term of 109, 167, 215, 247, 257, 239, 187? -h**3 + h**2 + 62*h + 47 What is the v'th term of 2499, 2404, 2309? -95*v + 2594 What is the z'th term of 76, 447, 1502, 3583, 7032, 12191, 19402, 29007? 57*z**3 - 28*z + 47 What is the x'th term of 301, 628, 1165, 1906, 2845, 3976, 5293? -x**3 + 111*x**2 + x + 190 What is the x'th term of 8778, 17518, 26258, 34998, 43738, 52478? 874
{ "pile_set_name": "DM Mathematics" }
e second smallest value? (a) 0 (b) 0.1 (c) v a Let c be 8/5 - (-17)/((-187)/22). Let a = 7 + -7.07. What is the smallest value in a, 0.4, c? c Let o = 115 + -123. What is the biggest value in -5, 1, o? 1 Let a = 299.26 + -304. Let x = a - -0.34. Let m = 0.4 + x. What is the third smallest value in -0.4, m, 0? 0 Let h = 2754 + -2754.5. Let j = 5 - 4.7. Which is the biggest value? (a) h (b) 6 (c) j b Let w be -1 + (20/(-6) - -3). Let u = 66 + -988/15. Let d = -4 - -7. Which is the third smallest value? (a) d (b) u (c) w a Let u = 950 - 950.3. What is the second smallest value in 10, -0.2, u? -0.2 Let p(t) = 9*t - 21. Let v(o) = -5*o + 11. Let d(i) = 6*p(i) + 11*v(i). Let n be d(-5). What is the third biggest value in -2/5, n, -0.12? -2/5 Let h be (-68)/(-85)*15/6. Which is the third smallest value? (a) h (b) -1 (c) 6 c Suppose 12 = -b + 2*w, -2*b + 0*w = -3*w + 29. Let n be b/(-24) - 7/28. Suppose 5*c + 66 = 81. What is the biggest value in 0.3, c, n? c Let i be (-2 - -6)/(-6 + 1 - -3). Let d = 0 - i. What is the biggest value in -1/20, -3, d? d Let z(n) = n**2 + 7*n - 6. Let i be z(-6). Let o be 4/(-16) + 27/i. What is the third smallest value in -4, 7, o? 7 Let s be (-2 - (-64)/28) + 6/(-21). Suppose 0 = 2*v + 6, 3*r + 4*v + 15 = -s*r. What is the third biggest value in 4, -2/11, r? r Let u be (12/(-12))/((-1)/3). Let r = 2/31 + 15/248. What is the second biggest value in -2/17, u, -1, r? r Let i(a) = a**3 + a**2 - 4*a - 2. Let n be i(-2). Let m be 2*n/(-52)*2. Let k be 5*((-36)/15 + 2). What is the biggest value in m, -6, k? m Let h be (-7)/(212 - 2)*4. Suppose 3*m = 6*m. Which is the biggest value? (a) 0.5 (b) m (c) h (d) -0.5 a Let u = -1.08 + -0.92. Let z = 9 - 9.01. Which is the second biggest value? (a) -0.3 (b) u (c) z a Let p = 2.964 + -0.964. What is the smallest value in p, -6, 4? -6 Let t be 0 + (0 - 3/(-72)). Let u = 0.2 - 1.2. Let d be (-8)/48 - 20/(-75). Which is the third smallest value? (a) u (b) t (c) d c Suppose -15*h = -31*h - 16. Which is the biggest value? (a) 2/7 (b) -2/23 (c) h (d) 5/6 d Let j = 2566 - 2564. Which is the third smallest value? (a) -0.3 (b) 0.09 (c) 0 (d) j b Let g = 597 - 616. Which is the third smallest value? (a) g (b) 0.3 (c) 3 c Let o = 1398 + -1400. Which is the fourth biggest value? (a) 0.4 (b) o (c) -8/9 (d) 0.12 b Suppose 8*u - 2*u - 90 = 0. Let q be (5 + -6)/((-6)/u). What is the second biggest value in 0, 0.12, q? 0.12 Let l be (-3)/(-18) - 4/168. Let w = 0 + -1. Which is the third smallest value? (a) w (b) l (c) 3 c Let n = -79.2 + 10.2. Let u = n - -68.5. Which is the fourth biggest value? (a) -0.1 (b) -2 (c) u (d) 1/7 b Let h be 2*(10/2)/460. Let r = h - -21/92. What is the biggest value in r, -1/7, -1? r Let t = -1.97 - -2.17. Let r be ((-3)/22)/(3/(-4)). Which is the smallest value? (a) t (b) 3 (c) r c Let l be 14/30 + (-1)/(-3). Let f be (10*6/(-8))/((-9)/(-44)). Let g = f + 37. Which is the second smallest value? (a) l (b) g (c) -3 b Let f = -1426 + 1426.14. Which is the third smallest value? (a) -0.2 (b) 1/4 (c) f (d) -2/7 c Let o = 67 + -34. Let f = o - 38. Which is the second biggest value? (a) -1/5 (b) f (c) -3 (d) 1/8 a Let q = 1415 + -1417. Let p = -38 + 65. What is the third smallest value in p, -4/7, q? p Let n = -30.23 - -8.23. Which is the fourth biggest value? (a) -4 (b) n (c) 0 (d) -0.3 b Let j = 590 - 608. Which is the biggest value? (a) j (b) 3 (c) -15 b Let c = -3/22 - -84/11. Let r = 698.7 + -699. What is the third biggest value in -2, -3/2, r, c? -3/2 Let o = -455 + 460. Which is the biggest value? (a) o (b) 2/9 (c) -2/7 (d) 2 a Let m = -11 + 10.5. Let g = -1.6 - 7.4. Let l be (-88)/(-308) + (-3)/(210/(-8)). Which is the second smallest value? (a) l (b) m (c) g b Let r = 26.037 + -0.037. Let o = -29 + r. What is the smallest value in -2, 0, o? o Let a = 3394 - 61075/18. What is the second biggest value in 0.4, a, 0? 0.4 Let m be 3*(-4)/6 - -108836. Let c = m - 12516009/115. Let t = 6/23 + c. What is the third smallest value in 0, t, -0.2? 0 Let z = -10.39 - -10.29. What is the fourth smallest value in -2, 4, z, 0.03? 4 Let o be (-638)/870 - 2/(-6). What is the biggest value in o, 1, -2, -50/37? 1 Let q(k) = k**2 - 12*k - 6. Let v be q(12). Let x = 0.07 + 0.33. Which is the biggest value? (a) 4 (b) v (c) 1/4 (d) x a Let u be 7 - 6 - (1 - 3). Which is the second biggest value? (a) 0 (b) -17 (c) u a Let x = -42 - -42.5. Let n = -96457/101 - -955. Let u = n - -111/505. Which is the second smallest value? (a) u (b) 3 (c) x c Let y = -674/13 + 52. Which is the second biggest value? (a) -35 (b) -3 (c) y b Let k = 1.5 + -4.5. Let j = -0.201 + -0.099. What is the smallest value in k, j, -1? k Let z be ((-4)/6 + (-3)/(-18))*-2. Let u be (-6)/8 + (-188)/(-80). Which is the second biggest value? (a) u (b) z (c) -1 (d) -0.2 b Let j = 150 - 111. Let i = 39.8 - j. What is the biggest value in i, 0.3, 4? 4 Let u = -171.03 + 174. Let m = -0.03 - u. Let x = -2.6 - m. What is the third smallest value in 1/6, x, 3/7? 3/7 Suppose 7*f - 5*r - 290 = 2*f, 74 = f - 5*r. Let y = f - 596/11. Which is the second smallest value? (a) -0.3 (b) y (c) -2 a Let s = 0.29 - 2.69. Let t = -1.4 - s. Which is the second biggest value? (a) t (b) 1/7 (c) 8 a Let l = -326 - -703/2. Let r = l - 25. What is the fourth smallest value in r, 0.3, 0.1, 2/9? r Let k = -3547/7 + 507. Which is the third smallest value? (a) -0.2 (b) k (c) -1/30 b Let l = -4.809 + 0.809. Which is the third biggest value? (a) -252 (b) l (c) -2 a Let k = 1916 - 1918. What is the third biggest value in k, -75, -0.8? -75 Let q = -8 - -40. Let h be -4 + 2/(q/68). What is the third smallest value in h, 4, 0.2? 4 Let k = 72.5 - -19.5. Let j = 90 - k. What is the fourth biggest value in j, -3, -1, 0? -3 Let h = 14 - 9. Let k = 82 + -85. Let x be -1 - (k/(-6) + (-63)/(-14)). What is the second biggest value in x, h, 0.3? 0.3 Let z = 992.2 - 992. Let w = -1.4 + -0.6. What is the third biggest value in 4, z, w? w Let o = -0.03 + 8.03. Let j = -7.7 + o. Let u = -110 - -108. Which is the smallest value? (a) -0.1 (b) j (c) u c Suppose -3*q + q = 0. Let l = -0.02 + 0.12. Let p = 43 - 130/3. What is the biggest value in l, q, p? l Let a = -28 + 27.44. Let f = a - -0.56. Let v be 7/6*(-16)/42. What is the third biggest value in 1/3, f, v? v Suppose -k + v + 1 = -4, -5 = -k - 2*v. Suppose 2 = -y, 5*q + k*y + 4 = 3*q. Which is the third smallest value? (a) q (b) 0.4 (c) -2 (d) -0.4 b Let k = 3.7 + -0.7. Let l = 128 - 132.78. Let w = l - 0.22. Which is the smallest value? (a) -1 (b) w (c) k b Let j(n) = 12*n - 29. Let a be j(2). What is the third biggest value in -2.1, 0.4, a? a Suppose 0 = -2*m - 4*z - 8, 4*m - 5*z - 3 = -71. Let r be (57/m - -3) + 4/2. Which is the fourth biggest value? (a) 0.1 (b) r (c) 0.4 (d) -2/9 d Let z = 2.95 - 4.95. Which is the fourth biggest value? (a) 4 (b) -11 (c) 0.4 (d) z b Let v(k) = 5*k + 3. Let m be v(-2). Suppose 4*n + 16 = 3*h, 7 + 10 = 4*h - n. Let r be (4 - 22/h)/(-6). Which is the third biggest value? (a) 2 (b) m (c) r b Let t = 80 - 639/8. Suppose 0*s - 96 = 3*s. Let k = 35 + s. Which is the smallest value? (a) t (b) 15 (c) k a Let p be (-2)/8 + (-803)/4. Let j be -3 - (-36)/15 - 4016/(-20). Let w = p + j. What is the third biggest value in w, -0.05, -5? -5 Let o = -13.05 - -10.05. Which is the smallest value? (a) 1/6 (b) -1 (c) o c Let v = 0.396 - 0.096. Which is the third smallest value? (a) 41 (b) v (c) 1/5 a Let m = -0.5 + -1.71. Let f = -0.79 + m. Suppose -5 = o + 3*o + 5*t, -2 = -4*o + 2*t. What is the third smallest value in f, 0.4, o? 0.4 Let g be -3*(8/318)/(-2). Suppose 249*m = 11 + 11 - 22. What is the second smallest value in g, m, -1/2? m Let q = 131 - 133. Let z = 0.2 + -0.4. Which is the biggest value? (a) z (b) 22 (c) q b Suppose -163*x - 69 = -94*x. What is the second smallest value in x, -0.13, 5? -0.13 Let v = -23 + 23.24. Let z = 301/3 - 99. What is the biggest value in z, -0.4, v? z Suppose k = 7*k. Suppose k = 3*l + 3*l + 24. Let p be (-5)/(-12) - l/16. What is the third biggest value in p, 0, -0.8? -0.8 Let q = 71 + -35. Let u be 108/(-135)*(-10)/q. Which is th
{ "pile_set_name": "DM Mathematics" }
+ i. What is the units digit of f? 9 Let h = 21 + -10. Let j be (-18)/(-99) + 834/h. What is the tens digit of (-18 + 21)/(6/j)? 3 Let b = -145 + 149. Let v be ((-7)/(-2) + -2)*b/3. Suppose 4*c - 1016 = 3*n - 353, -v*c + 334 = -4*n. What is the tens digit of c? 6 Let v(d) = d**2 - 7*d + 15. Let k be (92/(-10))/(19/10 + -2). Let z = 101 - k. What is the units digit of v(z)? 3 Suppose -4455 = 175*w - 184*w. Suppose -67*q = -w - 5066. What is the tens digit of q? 8 Let u = -2409 + 4157. What is the hundreds digit of u? 7 Suppose 0 = -22*a + 8998 + 26488. What is the units digit of a? 3 Suppose 2*w + s - 66891 = 0, -46*w - 2*s + 33453 = -45*w. What is the hundreds digit of w? 4 Let p = -325 - -590. Suppose 2*h - p = -3*h. Suppose -o + h = -10. What is the tens digit of o? 6 Suppose 21*j - 19*j = 4. Suppose 18 = 4*h + j. Suppose 5*a + p - 476 = 0, -3*a + a + h*p + 186 = 0. What is the units digit of a? 5 Let u = 14999 + -10043. What is the thousands digit of u? 4 What is the thousands digit of ((-7940)/6)/(885/225 + -4)? 9 Let k = -27105 - -45791. What is the tens digit of k? 8 Let w(y) = 12*y + 255. Let o be w(-21). Suppose o*b - j = b + 791, 5*b - 1975 = 3*j. What is the tens digit of b? 9 Let y(g) = g**2 + 18*g + 16. Suppose 0 = -6*t + t - 85. Let h be y(t). What is the tens digit of -4 + 4 + h - 52/(-4)? 1 Let w(f) be the third derivative of f**5/10 + 25*f**4/24 - f**3 - 41*f**2. What is the hundreds digit of w(-7)? 1 Let y(x) = -4*x**3 + 2*x**2 - 6*x + 15. Let s be y(2). What is the units digit of (-10507)/s + (-12)/(-18)? 1 Let a(g) = 2590*g**2 + 198*g - 197. What is the units digit of a(1)? 1 Let l(w) = 2*w**3 - 28*w**2 - 57*w + 127. What is the tens digit of l(21)? 0 Suppose -37*z = -8*z - 122786. Suppose 36*v - z - 10958 = 0. What is the units digit of v? 2 Suppose -22*k + 444804 = -127988. What is the tens digit of k? 3 Let f be 1/((-35)/(-56))*15. Suppose -5791 = -f*w - 1111. What is the units digit of w? 5 Suppose 0 = -208*f + 201*f + 27468. What is the tens digit of f? 2 Let g be 30/4 + -1 - (-35)/(-70). What is the tens digit of 2942/g - 2 - (-26)/39? 8 Let a = -4699 - -7064. Suppose 5*x + 415 - a = 0. Suppose 5*z = -2*j + 496, -3*j = -4*z - 8*j + x. What is the hundreds digit of z? 1 Suppose -844*c - 3504350 = -953*c. What is the hundreds digit of c? 1 What is the ten thousands digit of (-22)/(-275) + (-3002584)/(-200)? 1 Suppose -36*s = -32*s - 876. Let b = s + 85. What is the units digit of b/14 - 36/(-126)? 2 Suppose 391204 = 130*v + 69454. What is the thousands digit of v? 2 What is the units digit of (-10)/4*652984/(-620)? 3 Let k be (-1*3/9)/((-8)/(-48)). Let z(y) = 233*y**2 - 17*y - 34. What is the hundreds digit of z(k)? 9 Let s(w) = 7*w**3 + 3*w**2 + 2*w. Let i be s(2). Let v = 13 - i. What is the units digit of -2 + 2 - -4 - v? 3 Let r = 3 - -513. Suppose -r = -4*g + 1524. What is the hundreds digit of g? 5 Let o(t) = 17*t**2 + 303*t + 29. What is the thousands digit of o(17)? 0 Let q(i) = -8647*i - 12828. What is the hundreds digit of q(-5)? 4 Let n(d) = d**2 - 4. Let b be n(-3). Suppose -u + 54 = b*u. What is the units digit of (u/2)/(48/2336)? 9 Let j = 4267 - 2416. Suppose -411 + j = 6*l. What is the units digit of l? 0 Suppose -6*t + 253 = 235. Suppose t*v - 2*w - 3244 = -6*w, 4*w = 5*v - 5396. What is the units digit of v? 0 Let y = 72 + -75. What is the tens digit of (-23632)/(-24) + (-1)/y? 8 Let l = 5662 - -3137. What is the tens digit of l? 9 Let s = -82 + 119. Suppose 0 = -2*o + 4*d + 82, -2*o + d + s = 6*d. Suppose 2*r = o + 23. What is the tens digit of r? 2 Suppose -6*j + 4*m = -2*j + 16, 0 = -2*j - 4*m + 16. Suppose j = -r + 3 + 4. What is the units digit of (-3 + r*-5)*15/(-6)? 5 Suppose -4*j = -5*a - 9166, 62*j + 11449 = 67*j - 2*a. What is the units digit of j? 9 Let g(q) be the first derivative of 2*q**3/3 - q**2/2 - 8*q + 9. Let t be g(3). Suppose 4*d - 188 = c, -2*c = -t*c. What is the tens digit of d? 4 Let q(d) = 41*d - 370 - 372 + 787. Let h be q(4). Suppose 2*y - h = 285. What is the units digit of y? 7 Let y(c) = 130*c**2 + 3*c + 4. Let t be y(-1). Let f = t + -193. Let s = 167 + f. What is the tens digit of s? 0 Suppose 5*v - 4*s - 83928 = 2*v, 9*s + 111904 = 4*v. What is the tens digit of v? 7 Let f = -40 + 40. Suppose j + j + 5*x = 0, f = 3*j - 3*x. Suppose j = 3*u - 11*u + 344. What is the tens digit of u? 4 Let o be (12782/42)/(2/6). Suppose -o = -6*l + 3845. What is the units digit of l? 3 Suppose 4*i + 92 = -100. What is the tens digit of (-1445)/(-40) - (-6)/i? 3 Let i(a) = 514*a**2 - 23*a - 4. Let x be i(3). Suppose -x + 36492 = 41*l. What is the units digit of l? 9 Suppose 0*j = -j + 33545 + 17650. What is the hundreds digit of j? 1 Let b = 67 - 65. Let r(p) = 4*p**2 - 2*p + 2. Let a be r(b). Suppose -13*w + a*w - 131 = 0. What is the hundreds digit of w? 1 Suppose -25*y + 21*y = -5*f - 12, 5*y = -3*f + 15. What is the hundreds digit of ((-2898)/45)/(65/25 - y)? 1 What is the ten thousands digit of ((-1)/(-3))/(5/(-3)) - 333613020/(-12350)? 2 Suppose 2*d - 3089 = 4*q + 287, 4*d - 6755 = 5*q. Suppose 31*c + 2*s = 34*c - d, -4*c = -3*s - 2255. What is the units digit of c? 0 Suppose f - 3259 = -2*o + 2319, 5*f - 5*o = 27890. What is the thousands digit of f? 5 Let k(c) be the first derivative of -33 + 1/3*c**3 + 27*c + 11/2*c**2. What is the tens digit of k(-17)? 2 Let x = 95143 - 44104. What is the thousands digit of x? 1 What is the thousands digit of (-2)/6 - (-592524)/108? 5 Let m = -3060 + 3672. What is the units digit of m? 2 Suppose -4*o - 113 = 3*f, 0 = -2*o - 6*f + f - 67. Let b be (-21)/91*(-11 + -15). What is the tens digit of o/(-39)*387/b? 4 Let o(m) = -166*m + 22. Let r be o(-29). What is the units digit of r/24*(1 + 1)? 3 Let j be 12/30 - (-3)/(-15)*-3. Let a be j/(-1) + (-6)/(-4)*4. Suppose a*g + 2*g = 1484. What is the units digit of g? 2 Suppose -21*n + 386136 = 72*n. What is the units digit of n? 2 Suppose -4*d = 8*d + 948. Let s = d - -81. Suppose y + 161 = s*y. What is the units digit of y? 1 Let x(r) = 82*r + 4 + 13 + 130*r - 3. What is the hundreds digit of x(1)? 2 Let x(c) = -3*c + 5. Let v(t) be the third derivative of t**4/6 - 7*t**3/6 - 4*t**2. Let b(i) = 5*v(i) + 7*x(i). What is the units digit of b(-2)? 2 Let i(t) = -94*t**3 + 2*t**2 + 47*t + 133. What is the units digit of i(-4)? 3 Suppose 0 = 12*z - 9*z - 15, z + 253 = -h. Let q = h + 1430. What is the units digit of q? 2 Suppose 3*j - 4 = 5. Let c(v) = 3*v**2 + 6. Let m be c(j). Suppose 3*x - 554 = d, 401 - m = 2*x - d. What is the units digit of x? 6 Suppose 44*t = -12780 + 43492. What is the tens digit of t? 9 Let v = 868 + -864. Suppose -5*q + 8052 = 2*t, q + 0*t - 1596 = -v*t. What is the thousands digit of q? 1 Let w(a) = a**3 + a**2 - a + 1. Let c(p) = 2*p**3 + 4*p**2 - 8*p + 4. Let o(g) = -c(g) + 8*w(g). Let n be o(-3). Let z = n - -209. What is the tens digit of z? 8 Let d = -16 - -19. Suppose 0 = d*q - 0*q - 1065. Suppose -4*j = j - q. What is the units digit of j? 1 Let j be (2*1)/(1 - 51/53). Suppose 2*n - 5*f + 0*f - 43 = 0, 0 = 4*n + f - j. Suppose -12*c - 58 = -n*c. What is the tens digit of c? 2 Let a be (1 + 32 + 3)*9/27. Suppose 532 = -a*n + 14*n. What is the units digit of n? 6 Let o(w) be the third derivative of w**5/12 + 17*w**4/24 + 35*w**3/3 + 2*w**2 - 14*w. What is the tens digit of o(-15)? 4 Suppose 188*q - 1069024 = 12*q. What is the thousands digit of q? 6 Let d be -188*-1*52/16. Suppose 0 = a + 3*a - 5*n - d, 3*a = -4*n + 497. What is the units digit of a? 9 Let h = 114626 + -78712. What is the ten thousands digit of h? 3 Let j be (-1*248)/(-8) - 2*1. Suppose 5*v - j = -104. Let i(a) = a**3 + 15*a**2 - 13*a + 15. What is the tens digit of i(v)? 1 Let s = -77786 - -150247. What is the thousands digit of s? 2 Let y(h) be the second derivative of 8*h**4/3 - h**3/2 - 2*h**2 + 16*h. Let n be (-8)/20 - (6/10 - 0). What is the tens digit of y(n)? 3 Suppose -a - 12 = -5*a. Let d(h) = h + 22*h**3 + 6 - 3*h**2 - 23*h**3 + a*h. What is the units digit of d(-4)? 6 Let j(l) = -5*l - 120. Let h be j(-31). What is the hundreds digit of h*(5 - 155/(-25))? 3 Let n(a) be the third derivative of -5*a**4/4 + 97*a**3/6 - 31*a**2. What is the tens digit of n(-8)? 3 Suppose -15*x + 53*x - 17518 = 0.
{ "pile_set_name": "DM Mathematics" }
. Let g = 14.3 + k. Let i = g - 0.7. Which is the biggest value? (a) -2 (b) -0.2 (c) i b Let z = -0.446 + 0.146. Which is the third smallest value? (a) z (b) -1 (c) -262 a Let x = -448 + 446. What is the second biggest value in x, -1/45, 0.5, 2/5? 2/5 Let t be (-2)/(-4) + 55/(-150). Let o = -755 + 750. What is the third biggest value in t, -3, o, -3/4? -3 Let k = -115.4 + 115. Let y = 0.09 + -0.39. Which is the biggest value? (a) 0.2 (b) y (c) k (d) 2/9 d Let h = -0.03 + -0.07. Suppose -111 = -40*x + 49. Which is the second biggest value? (a) h (b) x (c) -32 (d) 0.1 d Let v = 15.8 - 15.4. What is the second biggest value in v, 3/8, -59, 4? v Let a(f) = f**2 + 1. Let s(w) = w**3 - 3 + 6 - 1 + 8*w**2 + 8*w**2. Let t be s(-16). Let r be a(t). What is the second biggest value in -3, 1, r? 1 Let d = -26/37 - -115/111. Which is the third smallest value? (a) d (b) 0 (c) 21.1 c Let g be (5547/18)/((-95)/(-10)). Let x = 97/3 - g. Which is the second biggest value? (a) 2/3 (b) 2 (c) x a Let f = 289 + -289.1. Which is the third smallest value? (a) -5 (b) 3 (c) f (d) 28 b Let s be 276/456 + (2 - 10/4). Let o = -5 - 2. Which is the third smallest value? (a) -5 (b) o (c) s c Let v = -98.5 + 99. Which is the smallest value? (a) v (b) -10/7 (c) 3 b Suppose -5*m = 3*d - 5*d - 5704, -3*m + 3*d = -3426. Let q = -3565/3 + m. Let w = q - -49. Which is the biggest value? (a) 4 (b) 1/4 (c) w a Let v = -1463.7 - -1464. What is the biggest value in 3/5, 21, v, 0.5? 21 Let z be (-14 - 636/(-48))*(-16)/(-42). What is the biggest value in z, 0.018, 0.4? 0.4 Let w be 2 - 2 - (-5)/2. Which is the fourth biggest value? (a) 1 (b) 5 (c) w (d) -0.1 d Let k be (-90)/(-27) - (-4)/6. Which is the biggest value? (a) k (b) -86/3 (c) 0.4 (d) -2 a Let l be 3 - (260/12)/5. Let d = l + 14/15. Which is the biggest value? (a) 4 (b) 2 (c) d a Let u = 136 + -138. Which is the fourth smallest value? (a) u (b) 2/9 (c) 0 (d) -3/5 b Let g = 0.06 + -2.06. Let d = -30.9 + 31.3. Which is the second biggest value? (a) 3/4 (b) d (c) g b Let y = -12.9 + 13. Suppose 5*k = 28 - 168. Let i be (-1 - 0) + (-70)/k. What is the biggest value in 13, i, y? 13 Let p = 8 - 5. Let a = 0.8 - 0.66. Let h = 0.08 - a. What is the biggest value in h, p, 0? p Let y = 0.12 - 1.12. Let g = 70 + -209/3. Which is the second biggest value? (a) -2/7 (b) g (c) 3 (d) y b Let m = -3 + 3.5. Let h be (-1)/(-3) - 2*(-14)/(-12). Let f be (4/h)/(10 - (0 - -1)). Which is the third biggest value? (a) f (b) 5 (c) m a Let g = -550 + 553. What is the third smallest value in g, -14, -5? g Let c = -0.0047 - 5.9953. What is the third biggest value in -3, -0.1, 2, c? -3 Let v = 0.1 + 0. Suppose -4*d - 17 = -5*n, -4 = -2*n - 2*d + 10. Suppose -30 = z + n*z. Which is the third smallest value? (a) v (b) z (c) 0.4 c Suppose -2*s + 6 = -s - g, -5*s + 10 = -g. Let h be -1 - -8*s/2. Let j = 1 + -1.3. Which is the smallest value? (a) h (b) j (c) -2 c Suppose 0 = -v - u, -2*v - 4 = 5*u - 4*u. Which is the third biggest value? (a) 1 (b) v (c) 5 (d) -4/5 d Suppose -4*i + 20 - 4 = 0. What is the third smallest value in i, -1, -2/11? i Let l = 1 - 1.1. Let m = l - -0.2. Let f(h) = -h**3 + 8*h**2 + 49*h + 11. Let u be f(-4). Which is the second biggest value? (a) -2/13 (b) m (c) u b Let x = -9 - -9.3. Let g be (-848)/1060*(1 + 14/(-4)). Which is the third smallest value? (a) x (b) -0.3 (c) g (d) -1 a Let d = -0.06 + 0.46. Let x = 1561.3 - 1561. Which is the second smallest value? (a) x (b) d (c) -6 a Let g = -8.93 + 5.93. What is the smallest value in -2, -1/2, g, -1/6? g Let n = 0.056 - 1.356. Which is the third smallest value? (a) 0.4 (b) n (c) 7/5 c Let q = 870 + -869.8. What is the second smallest value in -2, -1/7, q, -4.5? -2 Let x = -17 + 12. Let v = -24/13 - -190/117. Let u = -2.6 - -0.6. Which is the third biggest value? (a) v (b) u (c) x c Let f = 37/140 - 11/20. Which is the smallest value? (a) 6.1 (b) 5 (c) f c Let j = -0.0167 - -0.2167. What is the fourth biggest value in -4, 3, j, -3? -4 Let l = 4.16 + 174.84. Let v = -182 + l. Let r = 9/26 - 24/13. What is the second biggest value in r, 1/2, v? r Let f = 19/30 + -5/6. Which is the third smallest value? (a) 1 (b) -2/7 (c) -2 (d) f d Let w = 5.82 - -0.18. Let q = -13 - -6. Let u = q + w. What is the smallest value in 0, 4, u? u Let t = -663.1 + 660. What is the second smallest value in -2, 5, t, 0.4? -2 Let h = 107 - 117.6. Let y = h - -28.9. Let o = y - 18. What is the third biggest value in o, -2/9, 3? -2/9 Let o = 1 - 1. Let q = 35.55 + -36.05. Which is the smallest value? (a) 1/7 (b) q (c) -5 (d) o c Let g = 56.9 + -13.9. Let j = -43.09 + g. Which is the biggest value? (a) -0.3 (b) 1 (c) j b Let q = -3926/5 - -785. What is the third smallest value in q, -1, 0.4, -1/85? -1/85 Let r = 0 + 0.5. Suppose -6 = s + 2*s. Let x(i) = i**3 + 5*i**2 - 5*i + 6. Let q be x(-6). What is the third biggest value in s, r, q? s Let r = 7.85 + -7.75. What is the second smallest value in -12, 2/13, -1/9, r? -1/9 Suppose w = -2*w + 3. Let d be 1/(-6 - (w + 0)). Let i = -22.1 + 22. Which is the smallest value? (a) 5 (b) d (c) i b Let j(r) = 4*r**3 - r**2 - r + 1. Let s be j(1). Let v = -165 - -161.96. Let w = v + 0.04. What is the second smallest value in s, w, -13? w Let r = -200 + 200.4. What is the second smallest value in -1/4, 0.5, 1/7, r? 1/7 Let x(n) = -10*n + 41. Let i be x(4). Which is the fourth biggest value? (a) 0.4 (b) 4 (c) 30 (d) i a Suppose 0 = 10*p + 59 + 21. What is the smallest value in p, -5, 4? p Let s = -0.54 + -1.76. Let v = -4 + 4.3. Let f = s + v. What is the second biggest value in f, 1/2, 0.2? 0.2 Suppose -3*x - 3*h = -6*x + 225, -10 = 2*h. What is the third smallest value in 5, 2/3, 2/15, x? 5 Let p(n) = -14*n - 22. Let x be p(-2). Suppose -2*j - 2*z = 2*j - x, 5*j + 5*z = -5. What is the third smallest value in j, -0.3, 3? j Let r = 47 + -234/5. Let x = 72 - 71.962. Let b = x + -0.238. What is the third smallest value in b, r, 1? 1 Let g = -607 + 607.05. Which is the third smallest value? (a) -0.5 (b) g (c) 2 (d) -2/21 b Let r be 12/(-9)*9/(-12) + -1. Let i = -9 - -5. Which is the smallest value? (a) r (b) -0.3 (c) i c Let l = 311 - 312. Which is the third smallest value? (a) l (b) -3/7 (c) -21 (d) 0.1 b Let g = -77 + 77.033. Let p = g + 10.467. Let x = p + -10. What is the third biggest value in x, -3, 5? -3 Let o(k) = -k**3 + 3*k**2 - 2*k + 2. Let u be o(2). Suppose -u = 2*t + g + 4, t + 3 = -4*g. What is the second biggest value in 0.2, 0.5, t? 0.2 Let h = 93 + -836/9. What is the biggest value in h, -1/45, 0.1? h Let l = 0 + -4. Let d(t) = -2*t - 8. Let k be d(-7). Suppose -4*u - 2*z = -0*z - 4, 3*z - k = u. Which is the biggest value? (a) -1 (b) l (c) u c Let m be -2*2/20*3. Let t = 4.77 + -4.7. Let c = -0.13 - t. What is the smallest value in c, m, -2/13? m Suppose p + 2*p + 431 = 5*s, 0 = s + 2. Let j = p + 143. What is the second biggest value in -2/3, -0.4, j? -2/3 Let l = -36 - -24. Let v = -0.1 + 0.6. What is the smallest value in 3, l, v? l Let p = -181/4 + 45. Let l = -0.41 - -0.01. Let m = -1654.9 - -1655. Which is the biggest value? (a) p (b) m (c) l b Let v be 5*1 + (-7)/(-21) + -4. Which is the smallest value? (a) 13 (b) v (c) 6/11 c Let h = 1296 - 1296.04. What is the second biggest value in -14, h, -3, 3/8? h Let i = -6/257 - 233/1028. Let v = -1 - -2. What is the third biggest value in 1/2, 0, i, v? 0 Let l(x) = -3*x**2 - 33*x - 57. Let k be l(-2). Let i = 0.02 - 0.42. What is the smallest value in k, i, 2/17? k Let t = -0.27 - 0.03. Let k = 430 + -429.7. Which is the second smallest value? (a) 2/11 (b) k (c) 6 (d) t a Let t = -4 - -3.5. Let l = -260/3 - -86. What is the second smallest value in l, -0.1, t? t Let c = 99 - 35.5. Let o = -53 + c. Let s = o + -10. What is the biggest value in 3, 5, s? 5 Let r = 48.6 + -57. Let g = -8.45 - r. What is the third biggest value in g, -2/7, -0.5? -0.5 Let z = -1347/4 - -337. Which is the second smallest value? (a) z (b) -3 (c) 0.072 c Let j = -100/1157 - 6/89. Let t = -18 - -17.8. What is the biggest value in t, j, -2? j Suppose 0 = 2*y - 3 - 3. Let s = -43.97 - -44. Let h = s - -4.97.
{ "pile_set_name": "DM Mathematics" }
q**2 wrt q. -11280*q Let y be 21 + 3/6*-4. Let s = -5 + y. What is the third derivative of 6*r**3 - r**3 + 2*r**2 - 14*r + s*r wrt r? 30 What is the first derivative of -19 + 16 - w - 14 - 7*w**2 wrt w? -14*w - 1 Find the second derivative of 275*k - 92*k + 18186 - 212*k**2 - 18186 wrt k. -424 Let s(a) = -119*a + 2. Let t be s(-5). Find the third derivative of 1 - 1 + 565*p**2 - t*p**2 - 16*p**4 wrt p. -384*p Let u(n) = -79*n**4 + 18*n**2 + 38. Let g(p) = 118*p**4 - 25*p**2 - 57. Let b(f) = -5*g(f) - 7*u(f). Find the third derivative of b(x) wrt x. -888*x Let x(b) be the third derivative of -b**7/210 - 37*b**5/60 - 17*b**4/8 - 5*b**2. Find the second derivative of x(w) wrt w. -12*w**2 - 74 Let h = -27 - -32. Differentiate 2*i**3 + h*i**3 + 8*i**3 + 37 wrt i. 45*i**2 What is the derivative of 5*b**3 + 22 - 110 - 5*b**3 - 106*b**4 + b**2 wrt b? -424*b**3 + 2*b Let t(m) be the second derivative of 169*m**4/6 - 499*m**3/6 - m**2 + m + 334. Find the second derivative of t(f) wrt f. 676 Let z = -104 - -108. Suppose 6*u = u. What is the first derivative of z - v**3 + u*v**3 - 7 + 0 wrt v? -3*v**2 Let d(l) be the first derivative of 238*l**5/5 - 87*l**2 + 124. What is the second derivative of d(s) wrt s? 2856*s**2 Let x(j) = -57*j**4 + 11*j**2 - 11*j - 605. Let v(m) = 28*m**4 - 6*m**2 + 6*m + 302. Let z(l) = 11*v(l) + 6*x(l). What is the first derivative of z(k) wrt k? -136*k**3 Let s(d) be the second derivative of 31*d**6/3 - 147*d**2 + 515*d. Differentiate s(w) with respect to w. 1240*w**3 Let u(x) = -244*x - 502. Let c(w) = -490*w - 999. Let z(m) = -2*c(m) + 5*u(m). What is the derivative of z(o) wrt o? -240 Let f(y) be the third derivative of 23*y**4/8 - 7*y**3/2 + 17*y**2. Let d(m) = -34*m + 11. Let x(r) = -5*d(r) - 2*f(r). Differentiate x(c) wrt c. 32 Find the second derivative of -21*d**2 - 2*d**4 + 6*d - 41*d**2 + 0*d**4 wrt d. -24*d**2 - 124 Let y(a) = -62*a**4 + 5*a**3 + 5*a**2 + 5*a + 1371. Let j(t) = -31*t**4 + 2*t**3 + 2*t**2 + 2*t + 685. Let g(f) = -5*j(f) + 2*y(f). Differentiate g(r) wrt r. 124*r**3 Suppose -24 = -12*s + 4*s. Suppose -s*q - 3*c = -6*q - 3, 3*c - 11 = q. Find the first derivative of -q*a**4 + 8 + 4*a**4 - 13*a**4 wrt a. -52*a**3 What is the third derivative of -97*b**4 + 2 - 2 - 13*b - 53*b**4 + 1534*b**2 - 1537*b**2 wrt b? -3600*b Suppose -t - 4*i - 5 + 1 = 0, -4*i - 28 = 4*t. Let q = t + 14. What is the first derivative of 7*k**3 - q - 2*k**3 + k**3 wrt k? 18*k**2 Let r(x) be the second derivative of 77*x**4/12 - 14*x**3/3 - 59*x. What is the second derivative of r(l) wrt l? 154 Let r(s) = 318*s**2 + 146*s. Let i(y) = -322*y**2 - 147*y. Let p(t) = -4*i(t) - 3*r(t). What is the second derivative of p(d) wrt d? 668 Let s(i) be the third derivative of -i**7/105 - 17*i**6/120 - i**5/15 + 13*i**3/6 - 5*i**2 + 31. What is the third derivative of s(o) wrt o? -48*o - 102 Let p(h) be the second derivative of h**6/20 + 3*h**5/20 - 5*h**2/2 - h. Let k(j) be the first derivative of p(j). Find the third derivative of k(n) wrt n. 36 Let j(m) be the first derivative of -11 + 0*m**4 + 0*m**5 + 0*m**2 + 14/3*m**3 + 0*m + 8/3*m**6. Find the third derivative of j(g) wrt g. 960*g**2 Let m be (3 - 2 - -4)/1. Suppose -4*u = u - m*h - 15, h = -5*u + 9. What is the derivative of -2*t**2 + 6*t**2 + 1 - t**u wrt t? 6*t Let i(m) be the third derivative of -38*m**7/15 - 92*m**3/3 - 3*m**2 - 61. Differentiate i(j) with respect to j. -2128*j**3 Suppose 7*a - a - 12 = 0. What is the third derivative of 3*f**4 - 31*f**a + f**3 + 16*f**2 - f**3 wrt f? 72*f Let x(y) = -2*y**2 - y + 3. Let v be 4 + 3*(-4)/3. Let d be x(v). What is the second derivative of -c**d + c**3 - c - 7*c**3 + 0*c wrt c? -42*c What is the third derivative of 3*w + w - 563*w**2 - 43*w**3 + 0*w - 5*w - w wrt w? -258 Let o(s) = -s**4 + s**3 - s**2 - 1. Let m(q) = -9*q**4 + 6*q**3 + q**2 - 6. Let d = 23 - 17. Let t(a) = d*o(a) - m(a). Find the third derivative of t(k) wrt k. 72*k Let b(s) be the first derivative of -23*s**3/6 + 9*s**2/2 + 32*s + 15. Let x(v) be the first derivative of b(v). What is the derivative of x(y) wrt y? -23 Let y(j) = -j**2 - 19*j + 4. Let r be y(-18). What is the second derivative of 5*x + r*x**5 + x - 29*x wrt x? 440*x**3 Let y(i) be the second derivative of 29*i**8/56 + i**6/10 - 25*i**4/6 - 2*i - 15. What is the third derivative of y(o) wrt o? 3480*o**3 + 72*o Let n(l) be the first derivative of 39*l**5/5 - 5*l - 111. Find the first derivative of n(o) wrt o. 156*o**3 What is the second derivative of -52 - 46*g**5 + 136*g - 4*g**4 - 11*g**4 - 137*g + 65*g**4 + 45*g**5 wrt g? -20*g**3 + 600*g**2 Let o(p) = -p**2 + 2. Let z be o(0). Let b(i) = i**3 - 3*i + 2. Let y be b(z). What is the third derivative of -2*t + y*t**2 - t + 3*t + 2*t**6 wrt t? 240*t**3 Let x = 21 + -20. Let u(m) = -m**2 + 1. Let g(p) = 13*p**2 - 11*p - 1. Let r(s) = x*g(s) + u(s). What is the second derivative of r(i) wrt i? 24 Let q(t) be the second derivative of -44*t**7/21 - 71*t**3/3 + 27*t - 3. Find the second derivative of q(b) wrt b. -1760*b**3 Suppose 0*u + 3*m = u, 0 = -2*u + m + 20. What is the second derivative of 3*c**3 - 8*c**3 + u*c**3 + 12*c wrt c? 42*c Let s(m) = -m**2 - m - 1. Let i be s(-2). Let h be (-1)/(-2 + i/(-2)). Find the third derivative of 10*a**2 + a**4 - a**4 - 5*a**h - 5*a**6 wrt a. -600*a**3 Let y = 34 - 22. Find the first derivative of 2 - 6*n + 13 + 13*n + y*n wrt n. 19 Let n(v) be the first derivative of -123*v**4/4 - 236*v**3/3 + 295. What is the third derivative of n(u) wrt u? -738 Let b(f) be the second derivative of 0*f**3 - 23/2*f**2 + 0 + 5/4*f**4 + 21*f. Find the first derivative of b(p) wrt p. 30*p Let u(d) be the third derivative of 341*d**7/105 + 183*d**3/2 - d**2 - 249. Find the first derivative of u(l) wrt l. 2728*l**3 Let t(z) = -z**3 - z**2 + 2. Let y(a) = 5*a**3 - 27*a**2 - 28. Let m(g) = -t(g) - y(g). Find the first derivative of m(u) wrt u. -12*u**2 + 56*u Let f(i) = 99*i**2 - 149. Let k(o) = -97*o**2 + 150. Let w(n) = -4*f(n) - 5*k(n). Differentiate w(u) with respect to u. 178*u Let j(b) = 54*b**4 + 5*b**3 + 64*b**2 - 5*b + 5. Let p(l) = l**3 + l**2 - l + 1. Let h(q) = -j(q) + 5*p(q). Find the third derivative of h(d) wrt d. -1296*d Let h(q) = -23*q**2 + 36*q - 4. Let d(z) = -z + 1. Suppose 5 = 9*m + 14. Let a(u) = m*h(u) - 4*d(u). Find the second derivative of a(w) wrt w. 46 What is the second derivative of -5*r**2 + 3*r**2 + 38*r**2 + 1 - 97*r + r**3 + 43*r**2 wrt r? 6*r + 158 Let s(p) be the third derivative of 0 + 5/4*p**4 + 0*p + 22/3*p**3 - 13*p**2. Differentiate s(f) with respect to f. 30 Let i(k) = -35*k**2 + 9*k - 153. Let w be (-3)/2*(7 + -1). Let a(b) = -9*b**2 + 2*b - 38. Let d(h) = w*a(h) + 2*i(h). What is the derivative of d(s) wrt s? 22*s Let n = 47 + -42. What is the first derivative of -12*v**2 + 1 - 9 - n*v**2 wrt v? -34*v Let v(o) = 2*o**3 + 10*o**2 + 4*o - 5. Let u be v(-4). What is the second derivative of -u - 43*b**2 + 7 - 16 + b - 4 wrt b? -86 Find the first derivative of -1416 + 18*q**3 - 78*q**3 + 1398 wrt q. -180*q**2 Suppose 3*j + 5 = 4*j. Find the second derivative of x**3 + 9*x**4 + j*x - x**3 wrt x. 108*x**2 Let g(f) = 2*f**2 + 6*f. Let i be g(-3). Find the third derivative of i*h**2 + h**3 - 5*h**2 - 33*h**6 - h**3 wrt h. -3960*h**3 Let f(w) be the second derivative of -13*w**4/6 + w**3/3 + 14*w**2 - 67*w. What is the derivative of f(c) wrt c? -52*c + 2 Let a(b) be the second derivative of 13*b**3/2 + 203*b**2 - 6*b - 3. What is the first derivative of a(i) wrt i? 39 Let q(n) = 129*n**2 + 5. Let m(u) = 131*u**2 - u + 5. Let j(g) = 5*m(g) - 6*q(g). Find the second derivative of j(a) wrt a. -238 Let q(x) be the first derivative of -2*x**5/5 + 45*x**2/2 + 89*x + 60. What is the first derivative of q(d) wrt d? -8*d**3 + 45 What is the first derivative of 10*t + 2*t + 570 + 16*t + 32*t - 835 wrt t? 60 Find the second derivative of 9*w**2 + 12*w**2 - 8*w + 255 - 127 - 3*w**3 - 126 - 9*w**2 wrt w. -18*w + 24 Find the second derivative of -2*q - 23*q + 86*q**2 - 1 - 60*q**2 wrt q. 52 Find the third derivative of -26*c**5 - 85*c**2 + 750 - 750 wrt c. -1560*c**2 Let o(p) = p - 4. Let u be o(4). Suppose -3*r = -4*k - k + 7, -k - r + 3 = u. Find the second derivative of -b**k + 5*b**2 - 2*b + b**2 - 2*b**2 wrt b. 6
{ "pile_set_name": "DM Mathematics" }
*a**2/2 - 808*a. Determine i(8). 1 Suppose w + 2*w = 6. Let v(i) = i + 0 + 2 + i - 5 + i**w. Let t = -1 - 3. What is v(t)? 5 Let c(j) = 5*j - 2. Let f be 6/81*24 + 4/18. Suppose -7*t = -f*t - 15. Give c(t). 13 Let o = 72721/120 + -606. Let y(p) be the third derivative of 4*p**2 + 0*p - 2/15*p**5 + 0 + 3/2*p**3 - 1/24*p**4 + o*p**6. What is y(8)? 1 Let y(b) be the third derivative of -b**6/120 - 9*b**5/20 - 25*b**4/24 + 6*b**3 - 242*b**2. Calculate y(-26). 10 Suppose -14*y - 16 = -18*y. Let g(u) = u - u**3 - 5*u**2 + y*u + 3*u - 11 + 8. Calculate g(-6). -15 Let d(o) = -o**2 + 1. Let u be (2/(-7) - (-2)/7) + 183. Suppose 181*t = u*t + 6. Calculate d(t). -8 Let v(l) = 15990 - 15993 + l**2 - 4*l**2 - 3*l. Let p(a) = -a**2 + a + 4*a**3 + 4*a**2 + 1 - 3*a**3. Let f be p(-3). What is v(f)? -9 Suppose -2*g + 32 = 2*g. Let a = g - 4. Let i be (-6)/9*(-6)/a. Let s(t) = 13*t**3 + t**2. Calculate s(i). 14 Let g(j) = 13 + 0*j**3 + 19*j**2 - 2*j**3 + 2913*j - 2923*j - 4*j**2. Calculate g(7). -8 Let o(x) be the first derivative of -14*x**3/3 + x + 250. What is o(-1)? -13 Let b(g) = -g**3 - 4*g**2 + g - 5. Let x(n) = -3*n**3 + 5*n**2. Let q be x(2). Calculate b(q). -9 Suppose 5*a - 2*q - 2 = 9, -2*q = 3*a - 13. Let w(o) = -7 + 0*o - 3*o - o**a + 0*o - 5*o**2 + 2*o. Let d = 77 - 82. Calculate w(d). -2 Let a(p) = -p - 3*p**2 - 4*p**3 + 10 + 5*p**3 + 2*p**2. Let b(d) = -2*d**3 - 24*d**2 + 5*d + 14. Let o be b(-12). Let h = 46 + o. Calculate a(h). 10 Let d be 40/12*(-3)/(-1). Let l(q) = 4*q + 8. Determine l(d). 48 Let l(o) = -o**2 + 5*o + 5. Suppose 2*g + 2*v = 2, 3*g + 0 - 3 = 3*v. Let n be (g + 0)/(7/42). Calculate l(n). -1 Let k(y) = -3*y + 6. Suppose 6*j - 2*j + 22 = -3*x, 4*x = 5*j - 50. Suppose 35 = 4*t + t. Let f be (x - -7) + 1*t. Give k(f). -6 Suppose -5*o + 13 + 22 = 0. Let d(x) = 3*x**2 + 7*x**2 - 11*x**2 - x + 10*x - x. Calculate d(o). 7 Let p(y) = -y + 2*y - 7*y + 2. Let u(d) = -7*d + 2. Let m(v) = 6*p(v) - 5*u(v). Determine m(-3). 5 Let q be -2 + -4*2/(-2). Suppose 3 = -q*l + 3*l. Let o(v) = 4*v + l*v - 1 + 0*v - 3*v. What is o(-2)? -9 Let x(l) be the first derivative of -l**5/20 + 5*l**4/12 - l**3/3 + 3*l**2/2 + 2*l - 2. Let j(n) be the first derivative of x(n). Calculate j(5). -7 Let q = -980 - -973. Let x(g) = -g**2 - 6*g + 3. What is x(q)? -4 Let w(g) = g + 2. Let c(m) = 2*m + 3. Suppose -4*l = l + 4*j - 4, -j = 4. Suppose 0 = h - 1 + l. Let s(x) = h*w(x) + 2*c(x). Give s(-3). -3 Suppose -3 = -o + 4*u, 3*o + 5*u - 38 = -12. Suppose -27 = o*r + 2*r. Let z(a) = 2*a**2 + a. What is z(r)? 15 Suppose 7 = -4*s + 11. Let n(c) = -3*c + 1. Determine n(s). -2 Let h(l) = 3*l**2 - l. Let f(w) = -2*w**2 + w - 2. Let k(z) = f(z) + h(z). Give k(-2). 2 Let y(a) = a**2 - a - 1. Let h be 2/(5/(4 + -14)). Let n(i) = -i + 2*i + 5*i**2 + 0 - 7. Let u(f) = h*y(f) + n(f). Give u(-5). -3 Let k = 101 - 98. Let o be (0 - 2)/((-6)/((-18)/k)). Let v(j) = 4*j**2 - 4*j**3 + j**3 + 4*j**3 + 2 + 4*j. Give v(o). 2 Let v(g) = g**3 - 13*g**2 + 11*g + 3. Let i be v(12). Let k(u) = -7*u + 4. Let w(a) = 3*a - 2. Let d(x) = i*w(x) - 4*k(x). Give d(-2). 0 Let p(u) be the second derivative of -u**5/20 + u**4/4 + 5*u**3/6 - u**2/2 + 55*u - 2. Let k(i) = -i**3 + 5*i**2 + 4. Let x be k(5). Give p(x). 3 Suppose 2*h = -3*s - 5, 5 = -4*s + 2*h - 11. Let o(y) = -4*y + 3. Determine o(s). 15 Let m(p) = 15*p - 4 - 5*p + 3. Let x(q) = 4*q**2 + 2*q + 1. Let b be x(-1). Suppose -4*t = -t - b. Determine m(t). 9 Suppose 4*k - 33 + 9 = 0. Let p(d) = d**3 - 5*d**2 - 7*d + 7. Determine p(k). 1 Let w(b) = b + 6. Let x(c) = -2*c - 7. Let l(n) = 3*w(n) + 2*x(n). Give l(3). 1 Let y(q) = -3*q**3 + 19*q**2 + 8*q - 5. Let u(h) = -h**3 + 9*h**2 + 4*h - 3. Let v be 110/25 - 3/(-5). Let i(b) = v*u(b) - 2*y(b). What is i(-6)? 7 Let j(k) = -k**3 - 3*k**2 + 7*k + 1. Let c = -169 + 164. Give j(c). 16 Let u(i) = -5*i - 17. Let j be u(-4). Suppose k = -2*k - j. Let v(r) = -12*r + 1. Give v(k). 13 Let t be (2/6*0)/(-1). Suppose t*w - w = 0. Let r(j) = w - 2*j**2 + 6 + 5*j + j + j**2. Determine r(6). 6 Let l(d) = d**3 - 8*d**2 - 2*d + 4. Suppose -7 = -q - 0*b - b, -5*b = 2*q - 11. Determine l(q). -12 Let g(s) = s**3 + 13*s**2 - 10*s + 67. Let x be g(-14). Let q(v) = -v**3 + 11*v**2 - 5*v + 6. Give q(x). -49 Let i(w) = -w - 26. Suppose -21*v - 504 = 21*v. What is i(v)? -14 Let z(j) = 2*j**2 - 6. Suppose -39*n + 4 = 4. Determine z(n). -6 Let z(h) = 2*h + 2 - 14 - h - h**2. Let v(g) = -9*g**2 - 8*g + 18. Let l be v(3). Let i = l - -87. What is z(i)? -12 Let y(w) be the second derivative of -w**5/20 - w**4/4 + w**3/6 + 3*w**2/2 - 2*w + 67. Suppose -4*p = 3*v + 21, 5*v + 0*p + 18 = -p. What is y(v)? 0 Let c(w) = -8*w - 3*w**2 - 26 - 33 + 57. What is c(-3)? -5 Let g(u) be the first derivative of -5*u**3 + 1/2*u**2 - u - 19. What is g(1)? -15 Let a = 4 + -3. Let g(d) = -d. Let x be g(-2). Let u(q) = 5*q - 3*q - 1 - x*q - 6*q. What is u(a)? -7 Let j(n) = -n + 10. Let s be j(8). Let v(t) = -4*t**3 + 3*t**2 + 2*t - 1. Let x(p) = p**3 - p**2 - p. Let u(h) = s*x(h) + v(h). Calculate u(1). -2 Let w = -31 + 26. Let k(m) = -5 + m**2 - 3 + 4*m + 2*m + 1. Give k(w). -12 Let t(h) = -2*h**3 - 35*h**2 - 47*h + 35. Let r be t(-16). Let x(w) = -w**3 + 20*w**2 - 19*w - 1. Calculate x(r). -1 Let r(m) = -1954*m - 2 - 1957*m + 3910*m + 5. Let h = 15 - 21. Give r(h). 9 Let i(s) = -s**2 + 10*s - 3. Let a(o) = -o**2 + 52*o + 169. Let u be a(-3). Calculate i(u). 21 Let b(h) be the first derivative of h**4/4 + 8*h**3/3 + h**2/2 + 5*h + 386. What is b(-8)? -3 Let k(r) be the second derivative of r**3/6 + 3*r**2 + 2516*r. Suppose -4*p - 49 = 5*h, 3 = -5*p + 2*p + 3*h. Give k(p). 0 Let j(q) be the first derivative of 1/4*q**4 - 4/3*q**3 - 3*q**2 + 8 - q. Let i be (-2)/(-5) + 46/10. Calculate j(i). -6 Let z(b) = b**3 - 6*b**2 - 3*b + 5. Let y(w) = w**3 + w - 7. Let o be y(0). Let l(a) = a**2 + 7*a + 6. Let g be l(o). Determine z(g). -13 Let w(u) = 75917441*u**3 - 3*u**2 - 75917440*u**3 + 6 - 3*u**2. Let y(c) = 5*c**3 + 1. Let n be y(1). Determine w(n). 6 Let c be (-13 - (-6 + -2)) + -2 + 13. Let t(r) = 2*r**3 - 17*r**2 + 2*r - 17. Let k(g) = g**3 - 8*g**2 + g - 8. Let u(s) = -5*k(s) + 2*t(s). Give u(c). 0 Let o(p) = 3*p - 1. Let f be o(3). Let n(c) be the second derivative of -7/6*c**3 - 46*c + 0 + 1/20*c**5 - 4*c**2 - 7/12*c**4. What is n(f)? 0 Let i(b) = -b. Let p be i(-4). Suppose -4 = -4*s + 4*r, -2*s - p = -5*r - 3. Let a(j) = 4*j**2 + 2*j - 7*j**s + j. Calculate a(2). -6 Let g = -667 + 661. Let c(q) = -q**2 - 11*q. Calculate c(g). 30 Let l(o) = -o - 7. Let k(s) = 2*s - 19. Let t be k(7). Let p be 4 + -3 + (-3 - t) - 10. Determine l(p). 0 Let a = -97 - -100. Let t(r) = -4*r**2 + 0*r**a + r + 38 - 40 - r**3. Give t(-4). -6 Suppose -4*p - 10*p - 5*p = 0. Let w(m) = m. Let y(k) = -k**2 - 5*k + 7. Let a(n) = 4*w(n) + y(n). What is a(p)? 7 Let q(t) = -t + 9. Suppose 8 = 2*n - 2*j, -48 = n - 5*n - 4*j. Let m(z) = -2*z + 13. Let v(l) = n*q(l) - 5*m(l). Calculate v(-5). -3 Suppose 38*o = 50*o - 36. Let t(s) = -10*s + 25. Give t(o). -5 Suppose -3*r = -x + 9 + 18, -4*r - 17 = 5*x. Let j = r + 10. Let s(t) be the second derivative of -t**5/10 + t**4/3 - t**3/6 - t**2 - 14*t. Determine s(j). -4 Let h(f) = -2*f**3 + 12*f**2 + 17*f - 4. Let n be h(7). Let b(v) = -v + 23. What is b(n)? 6 Let i(z) = 2*z**2 - 2*z + 8. Let a(r) = 5*r**2 - 5*r + 17. Suppose 24 - 21 = v. Let t(k) = v*a(k) - 7*i(k). Calculate t(5). 15 Let c(j) be the first derivative of j**4/4 + j**3 - 4*j**2 + 3*j + 26. Let r be c(-5). Let t(z) = 3*z + 6. Determine t(r). -15 Suppose 2*n = n + 4. Let u = 16 - 14. Let z(k) = -k**u + 3*k + 0*k + 1 + 2*k - 3*k. Determine z(n). -7 Let s(v) = 5*v**3 - 2*v**2 + v + 4. Let x(u) = -11*u**3 + 3*u**2 - u - 9. Let g(i) = 9*s(i) + 4*x(i). What is g(4)? -12 Let a(t) = -t**3 - t - 1. Let v be -9 + 0 - (-7 + 3). Let r be (v/(75/6))/((-3)/(-15)). What is a(r)? 9 Let h(o) = 2*o - 44*o**2 + 16*o**2 + 9*o**2 + 7*o**2 + 9*o**2. Determine h(-2). -16 Let x = 21 + -14. Let k(g) = -8 + 13*g + 4 + 3 - 11*g. Give k(x). 13 Let z = 678 + -683. Let i(k) = 2*k + 7. What is i(z)? -3 Let h(w) = -w**3 - 19*w**2 + 19*w - 26. Let i = -702 + 682. Calculate h(i). -6 Let m be -7*9/(-42)*4. Let k be -1*(3*m)/2. Let l(q) = -87 - q - 97 + 0*q + 174. Calculate l(k). -1 Let a(y) = 6*y - 9*y
{ "pile_set_name": "DM Mathematics" }
246 - z. What is o rounded to the nearest 10? 50 Suppose 18*t - 12413101107 = 43*t - 2607601107. Round t to the nearest 1000000. -392000000 Let p = 97621445147.519342 + -97621551555. Let d = -106422.28 - p. Let a = d + 14.8. Round a to 4 decimal places. 0.0007 Let q be 3/((-18)/96)*4638003/(-4). Suppose -3*g = 3*j - q, 2*g + 5*j = 3339429 + 9028591. What is g rounded to the nearest 100000? 6200000 Let r = -4933.1 - -4341. Let k = r - 15.9. Let q = k - -607.9999543. Round q to five decimal places. -0.00005 Let g = 9072 - 9071.999967032. What is g rounded to seven dps? 0.000033 Let z = 97088 + 26252. What is z rounded to the nearest ten thousand? 120000 Suppose 4*z = 4*o - 363900, 2*z = -1446*o + 1443*o - 181925. What is z rounded to the nearest one hundred thousand? -100000 Let j = 0.02931299 - 0.029071. What is j rounded to six decimal places? 0.000242 Let d(t) = -9498*t - 218. Let c be d(-44). Suppose -71101 = 4*o + 5*w + c, 0 = o + 3*w + 122197. Round o to the nearest one thousand. -122000 Let g be (-9)/2 + (57/(-2))/19. Let k(f) = 6*f**2 - 2*f**3 - 13*f - 1 + 4 - 2 - 6. Let l be k(g). What is l rounded to the nearest 100? 700 Let s = 34 - -55. Let i = s + -108. Let u = i + 19.2. Round u to the nearest integer. 0 Let r = 92 + -87. Suppose -4*o = r*v + 37496, -3*o = -2*v + o - 15004. Round v to the nearest one thousand. -8000 Let r = -14250.941265 - -14251. What is r rounded to 2 decimal places? 0.06 Let j = -352.722 + 295.67. Let q = -7871 + 7814. Let m = j - q. Round m to two decimal places. -0.05 Let a = -7.7 - -76.7. Let d = 41359563.000164 - 41359632. Let l = d + a. Round l to 5 dps. 0.00016 Let c = 3.4561 - -182.4539. Let i = -177 + c. Round i to 0 decimal places. 9 Let x = -1984.5907854 + 1984.6. What is x rounded to four dps? 0.0092 Let m = -238.4713 - 0.0287. Let s = -219 - m. Round s to the nearest 10. 20 Let d = 215.808 - 215. Let o = 0.158 - -0.063. Let i = d - o. Round i to 1 dp. 0.6 Let l = -33.341 - -33.3. Let k = 73.841 + l. What is k rounded to the nearest ten? 70 Let b = 43893 + -93725. Round b to the nearest one thousand. -50000 Let u = -34348 - -64286. Round u to the nearest 10000. 30000 Let a = 12449.9978839 - 12450. Round a to 5 decimal places. -0.00212 Let d = 108.72757 + -0.19757. Let u = d + -98.3. What is u rounded to 0 decimal places? 10 Let w be (2 - -35974)*(-9)/27. Let v = -17532 - w. Round v to the nearest 1000. -6000 Suppose -3*b = -12, 9*k - 4*k = 4*b + 209. Let u be (-171)/k + 1/(-5). Let a(m) = 245314*m**3 + 5*m**2 - 3*m + 4. Let o be a(u). Round o to the nearest 1000000. -16000000 Let u be 99432000/(-108)*(-1 - -13). Round u to the nearest one million. -11000000 Let m = 10.4 + -10.586. Let w = -0.44 - m. What is w rounded to two decimal places? -0.25 Let k = -125.85 + 150.86. What is k rounded to the nearest integer? 25 Let a = -1208 - -10846. Let i = 9638.06867 - a. Round i to 2 decimal places. 0.07 Let k = -289.2472368 - -289.24. What is k rounded to 4 decimal places? -0.0072 Suppose 0 = 2*p + 4*p - 54. Let y be (4 + -1)*(21/p)/(-1). Let f(n) = 7*n**3 + 10*n**2 + 2*n + 5. Let r be f(y). What is r rounded to the nearest 100? -1900 Let b = -0.70159 - -0.70158928294. What is b rounded to seven dps? -0.0000007 Let w = 0.001 + 0.209. Let m = 41877423.78999987 + -41877424. Let u = m + w. Round u to 7 decimal places. -0.0000001 Let z = -2435376794 + 2435377590.6705167. Let a = z - 865.67051612. Let h = 69 + a. Round h to seven dps. 0.0000006 Let o = 8260 - 8260.0001718. What is o rounded to 5 dps? -0.00017 Let w = -20 + 24. Suppose 0 = -w*u + u. Suppose u = -3*c + 6, -3*c - 20 + 686 = -3*p. What is p rounded to the nearest 100? -200 Let u = -5850.24 + 5978. Let z = u + 0.24. Let d = z + -127.9999995. What is d rounded to seven decimal places? 0.0000005 Suppose -2*t - 135 = -5*t. Suppose 0 = 5*w + 4*w - t. Suppose 0 = -2*p - 0 - 4, -w*k - 4*p - 3700008 = 0. Round k to the nearest 100000. -700000 Let s = -53066769 + 53067000.00211. Let g = -1.8 - -232.8. Let k = g - s. What is k rounded to four dps? -0.0021 Let p = -155943663 - -155943598.5000169. Let q = p + 64.5. What is q rounded to five dps? 0.00002 Let v = 506 - 476.7. Let y = v - 28. Let l = y - 4.18. Round l to one dp. -2.9 Let w(u) = -560*u**2 + 75*u - 910. Let a be w(42). Round a to the nearest one hundred thousand. -1000000 Let j = 3.4523411 - 3.604372. Let w = -0.1519 - j. What is w rounded to five decimal places? 0.00013 Let r = 0.0467 + 429.9533. Let x = r + -429.99999086. What is x rounded to seven dps? 0.0000091 Let x = -11729435 - -11729826.99164. Let s = -392 + x. Round s to 4 dps. -0.0084 Let n(r) = 2 + 2*r + 277685*r**2 - 7*r + 15*r. Let g be n(11). Suppose 3*l = -3*p + g, p - 2*l - 11200005 = 3*l. What is p rounded to the nearest 1000000? 11000000 Let y be 1*-30*((-8625)/10 - 12). What is y rounded to the nearest 1000? 26000 Let q = -763841 - -763830.99761. Let d = 10 + q. What is d rounded to 3 decimal places? -0.002 Suppose 0 = 24*z - 101546 + 15002. Let t = -1170 + z. What is t rounded to the nearest one hundred? 2400 Let z = 13133.074203 + -13133. Round z to three decimal places. 0.074 Let t = 2538213.0714 + -2538797. Let a = t + 584. What is a rounded to two decimal places? 0.07 Let g = -19.7205684 - -26043.0483684. Let l = -25989.3 + g. Let i = 34 - l. Round i to 3 decimal places. -0.028 Let u = 0.74151429 - 0.07850475. Let j = 0.663 - u. What is j rounded to 6 dps? -0.00001 Let y = 546.1 + -3473.1. Let s = y - -2926.98507. Round s to four dps. -0.0149 Let t = -226.439 - -0.439. Let c = 225.895 + t. Round c to two decimal places. -0.11 Let m = 489 - 488.514. Let t = 0.023 - m. What is t rounded to 1 decimal place? -0.5 Let s be -2 + (-390)/(-169) + (-170391048)/156. Round s to the nearest one hundred thousand. -1100000 Let g = -6.736 + 95.076. What is g rounded to the nearest 10? 90 Let p = -28.855297 + 28.78. Round p to two dps. -0.08 Let o(b) = 42359*b**3 - b**2 + 6*b + 22. Let i be o(-4). Let d be i + (-9 - (-9)/3). Round d to the nearest 100000. -2700000 Suppose 27*p + 44943 = -88086. Round p to the nearest one hundred. -4900 Let j = 3304.4771 - -0.5229. Let b = 3305.0003019 - j. What is b rounded to five dps? 0.0003 Let w = -53.061422 + 53.05. Round w to three decimal places. -0.011 Let a = 0.90769493 - 36202.80772693. Let x = a + 36207.9. Let f = 6 - x. Round f to five decimal places. 0.00003 Suppose -2*o - 4*j = 127760, 2*j - 127804 = 2*o - 14. What is o rounded to the nearest one thousand? -64000 Let q = -3299 - -3319.136. Let l = 0.44 + 19.56. Let p = q - l. Round p to two dps. 0.14 Suppose 34 = 5*c + 64. Let q(v) = -1897*v - 15. Let f be q(c). Suppose -2630 = -w - 3*z + f, 3*w + 4*z = 41996. What is w rounded to the nearest ten thousand? 10000 Let c = 82.92658 + 0.04542. Let r = -641 + 724. Let l = c - r. What is l rounded to three decimal places? -0.028 Let h = -344.52 + 353. Let z = h - 0.16. Round z to 1 dp. 8.3 Let p = -5543 + 5545.4458. Round p to 1 dp. 2.4 Let w = -0.681 - 0.098. Let b = -41.879 - w. What is b rounded to the nearest integer? -41 Let p be (-30)/36 - (151307/(-6) + 5). What is p rounded to the nearest one hundred? 25200 Let i = 7454.000023992 + -7454. What is i rounded to six dps? 0.000024 Let q = -2403.8222 - -2404. Round q to two decimal places. 0.18 Let c = 437 + -131. Let s = c + -307.315. What is s rounded to one dp? -1.3 Let j = 141 - 140.832. Let y = -0.19 + j. Let i = 0.01894 + y. What is i rounded to 3 dps? -0.003 Let l = 0.41 + -0.16. Let c = l + -21.25. Let n = -21.0000024 - c. What is n rounded to 6 decimal places? -0.000002 Let o = -645 + 1848. Let a(k) = -70*k**2 - 17*k - 4 + o*k**2 + 11*k. Let w be a(4). Round w to the nearest ten thousand. 20000 Let x be 9 - (-4 - -2792*344) - 5. Round x to the nearest one hundred thousand. -1000000 Let k = 49 + -51. Let b be (k + 0)/(2/(-3)). Let w be -1 + (-2639991)/3 - (b + -1). Round w to the nearest one hundred thousand. -900000 Let i = -108621956590 + 108621951102.0002619. Let a = 5488 + i. What is a rounded to 5 decimal places? 0.00026 Let m be (0 + 6/6)*15. Suppose 28*x = m*x - 684580. What is x rounded to the nearest one thousand? -53000 Let m = -28.8799 - 1.4121. Let t = -1.818 + m. Let x = t + 32. What is x rounded to one decimal place? -0.1
{ "pile_set_name": "DM Mathematics" }
1/210 Three letters picked without replacement from {i: 1, k: 2, w: 2, e: 1}. What is prob of sequence ekw? 1/30 Two letters picked without replacement from yyywwqwwjzjwyqywwy. Give prob of sequence jz. 1/153 Calculate prob of sequence qqzz when four letters picked without replacement from zqqzqqzzzzzzqzzzzz. 13/306 Three letters picked without replacement from keaecc. What is prob of sequence aek? 1/60 What is prob of sequence bjj when three letters picked without replacement from {u: 1, d: 5, r: 1, j: 4, b: 5}? 1/56 Four letters picked without replacement from iiiibiiiiiii. Give prob of sequence iibb. 0 Three letters picked without replacement from {t: 5, w: 3, h: 1, f: 1, i: 1, l: 3}. What is prob of sequence fwi? 1/728 Four letters picked without replacement from {g: 2, b: 4, o: 1, u: 2, t: 4, v: 1}. What is prob of sequence bbbt? 4/1001 What is prob of sequence hpp when three letters picked without replacement from {h: 4, p: 3, c: 9}? 1/140 Calculate prob of sequence es when two letters picked without replacement from aaaeeeeeaqasqesaee. 8/153 What is prob of sequence fbb when three letters picked without replacement from {f: 5, n: 5, s: 1, b: 4, g: 3}? 5/408 Two letters picked without replacement from kvkvvvkvffffvvk. What is prob of sequence kf? 8/105 Four letters picked without replacement from cjjccjeccedccddc. Give prob of sequence cdjj. 3/910 Two letters picked without replacement from yiyfyff. Give prob of sequence yy. 1/7 Two letters picked without replacement from {n: 6, h: 7, m: 1}. Give prob of sequence mh. 1/26 Calculate prob of sequence xu when two letters picked without replacement from uxxjxxxjxuujjujjxjjx. 8/95 Three letters picked without replacement from aaaajajkauu. What is prob of sequence aja? 2/33 What is prob of sequence ita when three letters picked without replacement from tavtbttttitibbvtttb? 10/2907 What is prob of sequence ce when two letters picked without replacement from eccc? 1/4 Calculate prob of sequence qze when three letters picked without replacement from qwdwwqwdzqdweqzzzzqd. 5/1368 Four letters picked without replacement from rgrmrgwkgmg. What is prob of sequence rmgr? 1/165 Two letters picked without replacement from {j: 2, i: 2, o: 6, u: 1, e: 1, t: 7}. Give prob of sequence it. 7/171 Three letters picked without replacement from jajdjjjrjrrbrrjjrbb. What is prob of sequence jrj? 56/969 Three letters picked without replacement from {v: 3, f: 2, l: 4, k: 6}. What is prob of sequence lll? 4/455 Two letters picked without replacement from {b: 4, w: 6, s: 1, u: 1, x: 1}. What is prob of sequence ux? 1/156 Two letters picked without replacement from qvtxo. Give prob of sequence tv. 1/20 What is prob of sequence jnnb when four letters picked without replacement from njnnnnnnnnnnb? 1/156 Two letters picked without replacement from cirwwwricyrw. Give prob of sequence rr. 1/22 What is prob of sequence ooa when three letters picked without replacement from oboiaooai? 1/21 Three letters picked without replacement from {v: 1, e: 1, x: 3, c: 1, h: 1}. What is prob of sequence xxh? 1/35 Four letters picked without replacement from {d: 9, p: 9}. Give prob of sequence pdpd. 6/85 Calculate prob of sequence jjjk when four letters picked without replacement from {k: 4, j: 10}. 120/1001 Three letters picked without replacement from {a: 1, j: 8, p: 1, v: 9}. What is prob of sequence jvp? 4/323 What is prob of sequence bd when two letters picked without replacement from pddddppb? 1/14 Calculate prob of sequence eo when two letters picked without replacement from eoooeo. 4/15 What is prob of sequence bbx when three letters picked without replacement from {q: 2, x: 4, b: 7}? 14/143 Three letters picked without replacement from vugsgsbsbvvsvsgsg. What is prob of sequence sus? 1/136 Three letters picked without replacement from {o: 6, p: 12}. Give prob of sequence ppp. 55/204 What is prob of sequence lcr when three letters picked without replacement from {r: 1, l: 5, x: 6, d: 4, c: 1, f: 3}? 1/1368 Two letters picked without replacement from neozneoosohh. What is prob of sequence hs? 1/66 What is prob of sequence nn when two letters picked without replacement from {n: 3, w: 2, f: 7}? 1/22 Calculate prob of sequence yy when two letters picked without replacement from {y: 2, v: 11}. 1/78 Four letters picked without replacement from kzxkzkkkxxpkzzx. What is prob of sequence kxpk? 1/273 Calculate prob of sequence qed when three letters picked without replacement from qjejdjjdjdqjddjq. 1/224 Two letters picked without replacement from www. What is prob of sequence ww? 1 Three letters picked without replacement from dqqiqiqqqqqdtqqqqqbq. What is prob of sequence tdi? 1/1710 Four letters picked without replacement from {e: 6}. What is prob of sequence eeee? 1 What is prob of sequence yyys when four letters picked without replacement from yyysysssyyysyyyyyys? 143/1292 Calculate prob of sequence zvy when three letters picked without replacement from {y: 1, v: 1, z: 13}. 1/210 Four letters picked without replacement from {c: 7, e: 9}. Give prob of sequence eeec. 21/260 Three letters picked without replacement from {l: 3, j: 1, i: 1}. Give prob of sequence iii. 0 Calculate prob of sequence dj when two letters picked without replacement from jmrrdqjmmmljql. 3/182 Four letters picked without replacement from tfflwgwtfwwwww. What is prob of sequence lwlw? 0 What is prob of sequence na when two letters picked without replacement from nxxnnxann? 5/72 Four letters picked without replacement from {k: 2, x: 3, j: 6, e: 1}. What is prob of sequence jxkk? 1/330 Four letters picked without replacement from cbbcbhhbhhh. Give prob of sequence hcch. 1/198 Four letters picked without replacement from jjjjjwjwwjjwjjjjjj. What is prob of sequence jwjw? 91/3060 Three letters picked without replacement from avavavaa. Give prob of sequence vaa. 5/28 What is prob of sequence afd when three letters picked without replacement from {f: 2, a: 6, d: 1, h: 2}? 2/165 Calculate prob of sequence efbq when four letters picked without replacement from {k: 3, o: 1, f: 3, q: 1, b: 1, e: 2}. 1/1320 Two letters picked without replacement from wwwwwwlwlw. Give prob of sequence ll. 1/45 Two letters picked without replacement from {x: 1, r: 1, o: 11, m: 4}. What is prob of sequence ro? 11/272 Calculate prob of sequence gq when two letters picked without replacement from {q: 1, y: 3, n: 3, w: 1, x: 1, g: 2}. 1/55 Four letters picked without replacement from dfondtol. What is prob of sequence nodf? 1/420 Three letters picked without replacement from {b: 2, l: 7}. What is prob of sequence bbl? 1/36 Calculate prob of sequence fm when two letters picked without replacement from {g: 2, f: 1, n: 1, v: 1, m: 4, c: 3}. 1/33 Calculate prob of sequence ekj when three letters picked without replacement from {j: 1, k: 1, e: 1, s: 2, l: 2}. 1/210 What is prob of sequence oo when two letters picked without replacement from {o: 13, v: 3}? 13/20 Four letters picked without replacement from {v: 2, y: 1, t: 1, n: 3, c: 3}. Give prob of sequence vtnc. 1/280 What is prob of sequence gqg when three letters picked without replacement from ggggqgqggggqgq? 15/91 What is prob of sequence wntw when four letters picked without replacement from wwnt? 1/12 Three letters picked without replacement from ffzffkcffczyuf. Give prob of sequence zyz. 1/1092 What is prob of sequence bp when two letters picked without replacement from {a: 10, z: 3, p: 4, b: 1}? 2/153 Calculate prob of sequence lll when three letters picked without replacement from lulfflllfffssululsu. 35/969 Calculate prob of sequence is when two letters picked without replacement from {m: 6, z: 2, y: 2, s: 5, k: 1, i: 1}. 5/272 What is prob of sequence eeg when three letters picked without replacement from {e: 2, g: 11}? 1/78 Three letters picked without replacement from {i: 11, x: 1, l: 5}. Give prob of sequence ill. 11/204 Calculate prob of sequence tup when three letters picked without replacement from flulltpbtlufttt. 1/273 Calculate prob of sequence xxxl when four letters picked without replacement from {x: 3, l: 9, h: 4}. 9/7280 What is prob of sequence yv when two letters picked without replacement from {y: 2, x: 1, n: 1, v: 3}? 1/
{ "pile_set_name": "DM Mathematics" }
- 143 = -4*s + 5*u, -151 = -4*s - 3*u. Suppose -s = k - 30. Let q(j) = j**3 + 9*j**2 - 5*j + 2. What are the prime factors of q(k)? 3, 5 Let h(o) = o**3 - 19*o**2 + 15*o + 7. Let n be h(18). Let k = n + -31. Let v = 14 - k. List the prime factors of v. 2, 23 Suppose -61*n = -40*n + 21987. Let m = 392 - n. List the prime factors of m. 1439 Let h be 1 + (9/(-81) - (-17102)/18). What are the prime factors of (4 - 6)*h/(-2)? 3, 317 Let s(c) = -73*c - 509. Let u be s(-7). Let b be (-12)/(-10)*(-5)/(-2). Suppose -b*t = -5*y + 361, -4*t - 133 = -u*y + t. What are the prime factors of y? 2, 37 List the prime factors of (10465 - -8) + (15 - -1). 17, 617 Suppose -3*v + 203 = 5*q + 1119, -574 = 2*v - 4*q. Let s = v + 587. What are the prime factors of s? 2, 5, 29 Let c be 2 - ((4 - -5) + -3). What are the prime factors of (-1047)/(-12) + 1/c? 3, 29 Let c = -15 + 21. Let q be (-24)/20 - (-41448)/40. Suppose 3*u = -c*u + q. What are the prime factors of u? 5, 23 Let v(c) = -62*c + 367. Let n(s) = 56*s - 367. Let p(z) = -3*n(z) - 4*v(z). What are the prime factors of p(23)? 3, 491 Let u(o) be the first derivative of 5*o**3/6 - 4*o**2 - 3*o - 7. Let x(i) be the first derivative of u(i). List the prime factors of x(18). 2, 41 Let l be -4*(-2 + (-1265)/4 + -6). Let f = 140 + l. List the prime factors of f. 3, 479 What are the prime factors of ((-116640)/(-9))/(-30)*(-2)/4? 2, 3 Let t(l) = 48*l + 55. Let s be t(-1). What are the prime factors of 7 - ((-1239)/s + 2)? 2, 7, 13 Suppose 2*s - 321*p + 325*p = 2578, -5180 = -4*s - 5*p. What are the prime factors of s? 3, 5, 29 Suppose 3*o + 4 + 5 = 5*v, 3*o - v = 3. Suppose 21 = -o*k + 323. What are the prime factors of k? 151 Let c(g) = -11430*g + 9 + 22864*g - 11435*g - 10 + 32. Suppose 3*l - 4*l - u = -2, -u + 2 = 3*l. What are the prime factors of c(l)? 31 Suppose 5*l = b + 17, 4*l - 5 = -4*b + 23. Suppose 0 = l*k - 8. What are the prime factors of -2*k/(-4)*85? 5, 17 Suppose -365877 + 3293617 = 121*t - 36*t. What are the prime factors of t? 2, 79, 109 What are the prime factors of (-2)/4*(-16 + -7276 + -6)? 41, 89 Let c(h) = 25*h + 13. Let y(v) = 75*v + 40. Let s(z) = -11*c(z) + 4*y(z). Let r(a) = 74*a + 50. Let o(i) = -4*r(i) + 11*s(i). List the prime factors of o(-9). 2, 11 Let i = 431 + -1148. Let c = -276 - i. Suppose -6*j - c = -15*j. List the prime factors of j. 7 Let n be 80/30 - 4/(-12). Suppose 5*p - 407 = -4*k + 945, k = n*p + 321. What are the prime factors of k? 3, 37 List the prime factors of (((-47469344)/(-78))/53)/(1/3). 2, 2153 Let d = -131 + -78. Let k = d + 424. List the prime factors of k. 5, 43 Suppose -5*j + 8 + 10 = -x, -3*j = 4*x - 20. Suppose 5*g + 5*m - 3*m = 304, -242 = -j*g - m. Suppose -4*u + 64 = -g. List the prime factors of u. 31 Let w = -204 + 207. Suppose q + w*n - 380 = 4, -5*q - 4*n + 1964 = 0. What are the prime factors of q? 2, 3, 11 Let c(j) = 30*j**2 - 3*j - 10. Let f(t) = 31*t**2 - 3*t - 9. Let u(d) = -5*c(d) + 6*f(d). Let w be u(-1). List the prime factors of 4 + (-4 + -1)*(-1589)/w. 3, 7, 11 Let i(v) = v**3 - 12*v**2 + 14*v - 22. Let w be i(11). Suppose 2*u - w*u = -360. Let p = -36 + u. What are the prime factors of p? 2 List the prime factors of 155688/(-26)*1/(-3). 2, 499 Let f(z) = -z**2 + 1 + 7*z - 21*z - 15. Let a be f(-14). What are the prime factors of -6 + 3 - -4 - a? 3, 5 Suppose -3917 = 5*l - 4*d + 3*d, -2*l - 1565 = -d. Let r = -465 - l. List the prime factors of r. 11, 29 Let c = -2344 + 3729. What are the prime factors of c? 5, 277 Suppose 0 = 74*l - 84*l + 5010. Suppose 8*o - 3545 = 3*o. Let r = o - l. List the prime factors of r. 2, 13 Suppose 117*h - 114*h = 15. Let p = 3 + -1. Suppose -4*r = h*z - 504, p*z - r - 117 = 95. List the prime factors of z. 2, 13 Suppose -388222 = -18*n + 181028. What are the prime factors of n? 5, 11, 23 Suppose 11*b + 6*b = 68. Suppose -b*u + 260 = -340. What are the prime factors of u? 2, 3, 5 List the prime factors of 8*3/60 + 30918/5. 2, 773 Suppose l = -2*f + 52524 + 19064, f - l = 35791. List the prime factors of f. 3, 41, 97 Suppose 4*s - 3*v = 47719, 107*v + 47712 = 4*s + 111*v. List the prime factors of s. 79, 151 Let m(t) be the third derivative of t**5/30 + t**4/6 - 13*t**3/6 - 4*t**2. Suppose 0 = -2*x + 6*x - 24. List the prime factors of m(x). 83 Let a(c) = -22*c**3 - 32*c**2 - 147*c - 73. What are the prime factors of a(-9)? 2, 11, 167 Let s(v) = -v**3 - 4*v**2 + 2*v - 15. Let p be s(-5). Suppose p = 5*k - 10, -h - 3*k + 454 = k. What are the prime factors of h? 2, 223 Suppose 125 = 170*u - 119*u - 79. Suppose 8 = 2*k, k - 2*k + 6894 = 5*x. Suppose u*o - x = -o - 3*n, -552 = -2*o - 2*n. What are the prime factors of o? 5, 11 Let u = 136 + -99. Suppose -m + 12 = -u. Suppose m*h = 50*h - 101. List the prime factors of h. 101 List the prime factors of 1 + (-80)/16 - -46617. 7, 6659 Let a = 626 - 626. Suppose a = 10*z - 1338 - 7972. List the prime factors of z. 7, 19 Let w be (-90)/20 + 5 - 93/(-2). Suppose -4*p + 2766 = -2*f, -5*f + 2740 + w = 4*p. What are the prime factors of p? 3, 7, 11 Suppose -3*f + 772 + 968 = 0. Suppose -112 - f = -2*x. Suppose 0 = -2*u - 5*r + 152, 6*u - x = u - 4*r. List the prime factors of u. 2, 3, 11 Let f be 4/(-36)*-70 + (-8)/(-36). List the prime factors of (-2996)/f*2/(-1)*2. 2, 7, 107 Let j(u) = -399*u + 2029. What are the prime factors of j(-29)? 2, 5, 17 Let k(j) = -29*j**2 - 16*j - 31. Let z(f) = -7*f**2 - 4*f - 8. Let c be 3/((12/8)/1). Let r(v) = c*k(v) - 9*z(v). What are the prime factors of r(-3)? 43 Let s be (-1516)/10 - 26/65. Let t be (-4)/(-18) + (-515)/9. Let w = t - s. List the prime factors of w. 5, 19 Let z(j) = -10 - 11 - 12 + j - 13 + 58. Suppose -4*p - 35 = p. List the prime factors of z(p). 5 Let r(i) = 5*i**3 - 4*i - 2 + i**2 - 11*i + 17*i. List the prime factors of r(4). 2, 3, 19 Let f(n) be the first derivative of 12*n**3 - n**2/2 + 8*n + 45. List the prime factors of f(-3). 5, 67 Let o be (1 - 3)*(-6)/(-4). Let x be ((-9)/12 - (-5)/60)*o. Suppose -n = -5*g - 0*n + 369, -5*g - x*n = -357. List the prime factors of g. 73 Let m = -5316 + 9342. List the prime factors of m. 2, 3, 11, 61 Suppose -4*z + 7 = -5*z. Let x be ((-4)/(-5))/(z/(-35)). Suppose -x = 4*q - 12. List the prime factors of q. 2 Suppose 20*h - 996 = 18*h. Let d = -78 + h. What are the prime factors of d? 2, 3, 5, 7 Let f be -1*((5 - 1) + -9). Let j(o) = -30*o - 21. Let u be j(f). Let n = u + 323. What are the prime factors of n? 2, 19 Let j be (-18473)/65 - 3/(-15)*-4. Let o = j + 578. What are the prime factors of o? 293 Let y(n) = -13*n**2 - 22 - 34*n + 21*n + 48 - n**3 - 11*n. What are the prime factors of y(-17)? 2, 3, 5, 53 Let w = 16809 - 8921. List the prime factors of w. 2, 17, 29 Let t be 9/(54/456) - (-1)/(-1). Suppose 289 + t = n. List the prime factors of n. 2, 7, 13 Let q be (0/(-2))/(2 + -3 + 0). Suppose 2*j - 5*u - 777 = q, 5*u - 348 = -j + 78. List the prime factors of j. 401 Let g be (2 + -3)*12/(-4). Suppose -2*p = -c - g, 4*p - 7*c + 3*c = 4. Suppose 5*l + 96 = n, 5*n + p*l = l + 480. List the prime factors of n. 2, 3 Let s be ((44/8)/(-11))/((-5)/50). Suppose -s*t + 19140 = 7*t. List the prime factors of t. 5, 11, 29 Suppose 186*x - 119925 = 173*x. Suppose 5*a + 5*j - 6*j - x = 0, 5*a = -j + 9235. List the prime factors of a. 2, 13, 71 Let k be -664 - -4*(-35)/(-28). Let w = 850 - k. List the prime factors of w. 3, 503 Let i(y) = 20*y - 36. Let k be i(2). Suppose o - k = -3*o, -4*o + 2684 = 5*z. List the prime factors of z. 2, 67 Suppose -3671 = 4*y - 18263. List the prime factors of y. 2, 3, 19 Suppose -42513 = -15*v + 6792. List the prime factors of v. 19, 173 Let r(n) = -407*n - 9. Let i be r(-3). Suppose 48 + i = 28*x. What are the prime factors of x? 3, 5 Let z = 34386 - 8826. What are the prime factors of z? 2, 3, 5, 71 Let z(s) = -s**3 - 24*s**2 + 53*s - 52. Let u be z(-26). Let v = u - -156. List the prime factors of v. 2, 3, 13 Suppose 41*y + 27*y - 243015 = -17*y. What are the prime factors of y? 3, 953 Suppose 3*j + 2 - 53 = 5*n, -j + 4*n + 17 = 0. Let l(v) = 5 + j*v + 18*v - 9*v. What are the prime factors of l(3)? 83 Let z = 2821 - 1009. Let m be (-109)/(-3) + (-1)/3. What are the prime factors of (1 - -2)*z/m? 151 List the prime factors of (2*-1)/(1/52204*-8
{ "pile_set_name": "DM Mathematics" }
8210 - 5647. Let o = a - -1044. Is o prime? True Suppose 2*u - 2 = -0. Suppose -6*j = -17 - u. Suppose -5*a + 11 = 4*h, j*h + 12 = -2*a + 5*a. Is a composite? False Is -4 - (-8 - 161)*537 a composite number? False Suppose 4*i = 8, -5*k + 4*i + 29 = -18. Suppose -395 = -12*b + k*b. Suppose 0 = 4*u - 969 - b. Is u a prime number? False Let m = 2794 - -7757. Suppose -5*k + 26335 = o, -2*k + m = -4*o + o. Suppose 8*r - k = 4*r. Is r prime? False Let h(s) = 14121*s**2 - 80*s + 3. Is h(-2) a composite number? True Is (2068/1551)/((-8)/(-3391278)) prime? False Let p be (30 - 15)/(2/2). Let r be 12/(-9) + 13115/p. Let v = 340 + r. Is v prime? True Let k(m) = -m**3 + 68*m**2 - 80*m + 286. Is k(45) a composite number? False Suppose 34*d = 35*d - 19310. Let p = -1663 + d. Is p a prime number? False Let q(u) = u**3 + 6*u**2 - 8*u - 7. Let o be q(-7). Suppose o = -5*w - 1067 - 1823. Is (3 - w/2) + 3 a composite number? True Suppose 22*w - 1375240 = 1267422. Is w prime? True Is (-1)/(2/4684*(-6 + 4)) a prime number? True Let h(o) = 37*o - 6. Let q(u) = 37*u - 5. Let a(z) = -2*h(z) + 3*q(z). Let t be a(-1). Let k = t + 114. Is k a prime number? False Let m = -34523 - -50310. Suppose 3946 = f - x, -5*f + f + x + m = 0. Is f prime? True Suppose 2*q = 4*h - 0*q - 76, -5*q = 0. Suppose 4*l + h = 7*l - 2*a, -4*a = 5*l - 61. Is l/6 - (-1169)/2 prime? False Is (-18)/(-27)*(-1 - -86062) a composite number? True Let u(n) = -62956*n + 56. Let p be u(-4). Is p/84 + 3/7 a composite number? False Let l(c) = 40 - 75 + 42 - 4*c. Let a be l(0). Suppose -a*y + 1004 = -3*y. Is y a composite number? False Let n = -209 - -213. Is (-5585 + n + 0)/(-1) composite? False Let u be -272 - (-5 - 6*(-4)/8). Let l = u + -342. Let i = 1589 + l. Is i composite? False Suppose 3*j - 8*j = -3*k - 72, -3*k = -3. Is -2179*5/j*-3 a composite number? False Let g(y) be the third derivative of 403*y**4/2 - 317*y**3/6 + 5*y**2 + 37. Is g(6) a composite number? True Suppose -3*f + 7 = 5*j - 14, 5*f = -3*j + 19. Suppose 1053 = 6*n - n + f*g, 4*n + 2*g - 842 = 0. Is n a prime number? True Suppose 4*a + 5 = -p, -3*p - 3*a + 6 = p. Suppose 3*l - 16 = -l, -p*l - 2296 = -f. Suppose 7744 = 4*w + 5*q, -q + 381 - f = -w. Is w composite? False Let s(d) = -7*d**3 - 6*d**2 + 11*d + 11. Let u be s(5). Let t = 554 - 972. Let g = t - u. Is g a composite number? False Suppose 3*q = -5*w + 4*q + 38048, -3*q + 22818 = 3*w. Is (w/(-14))/((2*-1)/4) composite? False Let o be (204/119)/(2/7). Let c be o/4*12/9. Suppose -940 = -2*r - c*i, -458 = -3*r + i + 940. Is r a prime number? True Let f = -119 + 124. Suppose -5*p + 4605 = f*h, p - 9*h = -8*h + 921. Is p a composite number? True Let n(c) = -14*c + 91. Let g be n(8). Is -4101*(g/(-9))/(-7) prime? True Is (2 - 113876/21)*27/(-18) a prime number? False Let y(z) = -9*z**3 - 7*z**2 + 5*z + 8. Let o(w) = 7*w**3 + 6*w**2 - 4*w - 7. Let u(h) = 6*o(h) + 5*y(h). Is u(-7) a prime number? True Let w(t) be the first derivative of 37*t**3/3 - 12*t**2 - 18*t - 1. Is w(-17) prime? True Let b(c) = -733*c - 1. Let t be b(-1). Let s = t - 374. Is s composite? True Let v be 16/(-48) + 16/3. Suppose -3 = -2*q + 3. Suppose -2*h = -v*d + 4697, 3*h = -q*d + 2117 + 718. Is d prime? True Let l(z) = -54320*z + 2241. Is l(-14) a prime number? True Suppose -37*c - 52206 = -2*j - 33*c, 5*j - 2*c - 130475 = 0. Is j prime? False Let b(v) = 2176*v**2 - 83*v + 268. Is b(21) prime? True Suppose u - 42 = -5*u. Let h = -4 + u. Suppose -3*t = -h*y - 336, -5 = 5*y - 10*y. Is t a prime number? True Let h(l) = -60*l**3 - 3*l**2 + 15*l - 5. Suppose -x = -3*x - 14. Is h(x) a prime number? True Is (2375/38)/25 - 5788474/8*-2 prime? False Suppose 78*s = -103*s + 90002431. Is s composite? True Suppose 12*a - 16*a = 3*v - 70, 3*v - 3*a - 42 = 0. Is 121478/v - ((-56)/(-72) + -1) composite? True Suppose 2*k = -d + 204859, 0 = 82*k - 80*k + 4*d - 204838. Is k a composite number? False Suppose -39*j + 37*j + 10 = 0. Suppose l - 5*l = 0, 4*b + j*l - 50636 = 0. Is b a prime number? True Let n(j) = 26*j**2 - 6*j - 12. Let k(t) = -3*t**2 - 6. Let r be k(0). Let m be n(r). Let s = -567 + m. Is s composite? True Let r be 4/(-14) + 2*92/56. Let w be 1/r - 10409/(-21). Suppose w + 12 = 2*z. Is z prime? False Let a(w) = -6*w**2 - 34*w + 2. Let g be a(-6). Is (2174/g*1)/(46/(-230)) a composite number? False Let j(n) = n**3 + 11*n**2 + 8*n - 18. Let t be j(-10). Let w be (-2 + 2)/3 + t + 1. Is 0/w - 11/((-22)/20) composite? True Let v = -4 - -10. Suppose -4*o + o = 9, -5*l + 4*o = -17062. Suppose -v*b + l = -3244. Is b a prime number? True Is (716/3580)/((-2)/(-1630540)*2) composite? False Suppose 498*w = 506*w. Let m be 1295*1*(-4)/(-10). Suppose w = 2*r - 0*r - m. Is r composite? True Suppose -2*u = -u - 3*g + 6, -5*g + 43 = 2*u. Suppose -3 = 2*p - u. Suppose -3093 = -h - 5*v, 3*h - 6*v - 9207 = -p*v. Is h composite? True Let v be -10 - (-18)/132*-11*(-8)/3. Let r be (10/(-6))/((-3)/369). Is (-3)/v*6 - -10*r a composite number? False Suppose 157 - 171 = -7*a. Is (-8)/2 + 10791/6*a prime? True Let h(l) = -l**2 - 9*l + 76469. Is h(0) a prime number? False Let j(u) = 2*u**3 - 9*u**2 + u + 15. Let i be j(4). Suppose 1 = a + 5, -2*f + 2686 = -i*a. Is f a composite number? True Suppose -6 = 5*n - 3*z - 31, 5*n - 2*z = 25. Suppose 5*x - 29885 = -n*a, 3*x + 6*a = 5*a + 17939. Is x composite? False Let p(w) = -2*w - 3. Let h(j) = -275*j - 27. Let f(y) = -h(y) + 5*p(y). Is f(5) a composite number? True Suppose -571 + 7251 = 5*a - 5*p, 0 = 5*p - 5. Let j = 2079 - a. Let t = j + -523. Is t a prime number? False Let k(c) = -581*c**3 + 3*c**2 - 41*c + 13. Is k(-6) a prime number? True Let z(u) = 222*u**2 + u + 4. Let n be z(-2). Let b be ((-5452)/(-8))/((-5)/10 + 0). Let f = n - b. Is f a prime number? False Let f(x) = -341952*x + 805. Is f(-1) a composite number? False Let o = -170758 - -320267. Is o prime? False Suppose 187 = -43*n + 60*n. Let m(x) = 2*x**2 + 30*x - 105. Is m(n) a prime number? True Let z(o) = 85002*o + 83. Is z(2) a composite number? True Let w(y) = -9*y**3 + 17*y + 4*y**2 + 13 + 22*y**3 + 10*y**3. Is w(6) a composite number? False Suppose 35*f - 42*f - 8652 = 0. Let d = f + 6207. Is d composite? True Suppose 0 = -508*m + 505*m + 39. Let q(s) = s**3 - 3*s**2 + 3*s - 6. Is q(m) a prime number? True Suppose 49*o - 51*o - 160347 = -5*r, 4*r = -5*o + 128271. Is r a prime number? True Suppose 4*i = -0*i - 5868. Let o = -7744 - -5468. Let a = i - o. Is a a prime number? True Let i = 1626 + 1064. Suppose -3*n + i = -5*g, -4*n = -10*g + 14*g - 3576. Is n a prime number? False Is (180/(-720))/((3/(-612236))/3) prime? True Let i be ((-41388)/(-15) - 2) + 7/(-35). Suppose 4*w = -7*b + 4*b + i, -b = -w - 919. Is b a composite number? False Let j = 639822 - 292603. Is j a prime number? False Let m(d) = 21657*d**3 - 118*d**2 + 340*d - 4. Is m(3) a prime number? True Suppose 0 = -a - 5*w + 561960, 4*a - 3*a - w = 561990. Is a prime? False Let h = -680126 + 1005505. Is h prime? True Let m(g) = -g**3 - 29*g**2 + 5*g - 14. Let h be m(-23). Let p = h + 5798. Is p a composite number? True Suppose -9440 = -8*x + 2824. Suppose x = -9*t + 10*t + 5*i, 5*t + 3*i - 7709 = 0. Is t prime? True Let k(s) = 23*s - 2. Let t(l) = -15*l + 2. Let p(c) = -5*k(c) - 8*t(c). Let u be p(2). Suppose -3455 = -u*a + 2933. Is a a prime number? True Suppose 0 = t + z - 2, 3*t = z - 2. Let i(r) = 5*r + 211. Is i(t) composite? False Suppose 0 = 5*v + 20, 11*c + v - 121414 = 9*c. Is c prime? False Let b be (-3)/(-18) + 3281317/(-78). Is ((-19)/(-38))/((-2)/b) composite? True Let q(u) = 449*u**2 - 4*u - 4. Suppose -10*r - 14 = -4. Let p be (-1)/(((-4)/2 - r)*-1). Is q(p) a prime number? True Let q = 13 - 11. Suppose 0 = -2*x + q*x + x. Suppose x = -36*y + 35*y + 251. Is y a composite number? False Suppose -5*c = -5*a + 3*a - 6, -a + 3*c = 4. Suppose -a*r = -5*r. Suppose r*t + h = -2*t + 837, 1261 = 3*t - 4*h. Is t composite? False Suppose 6*l - l = 0, 0 = 2*m - l. Let s = 3 - m. Suppose 0 = -5*b + n + 960, b + s*n = 4*b - 588. Is b a composite number? False Let k(n) = 176187*n**2 + 10*n + 2. Is k(-1) a composite number? False Suppose 3*f = 0, 2*o - f - f - 2*f - 956606 = 0. Is o a prime number? False Suppose f = -4*v + 45409, -12*v - 34058 = -15*v - f. Is v a com
{ "pile_set_name": "DM Mathematics" }
ommon factor of b and x. 12 Suppose -4*k + u = -23775 + 23504, -2*u = 4*k - 298. Suppose -3*q + 2*q = -3*w - 292, 0 = 5*q + 2*w - 1392. Calculate the greatest common divisor of k and q. 70 Suppose 15 + 13 = 7*t, 0 = -5*i + t + 711. Calculate the highest common divisor of i and 182. 13 Suppose -d + 21 - 1 = -4*c, -15 = -d + 3*c. Suppose d = -3*q + 2*q + 6. Calculate the greatest common divisor of 8 and q. 2 Let m be -2 + 6 - (-19)/152*2264. Calculate the greatest common divisor of m and 656. 41 Let w = -419 + 405. Let g(y) = y**2 + 10*y + 5. Let c be g(w). What is the greatest common factor of 488 and c? 61 Let j(t) = 21*t**2 + 87*t + 736. Let s be j(-11). What is the highest common divisor of 320 and s? 80 Let r = -11 - -23. Suppose 2*q + 1980 = 57*q. What is the highest common factor of r and q? 12 Let b(i) = 8*i**2 + 129*i - 271. Let g be b(-23). What is the greatest common factor of g and 35? 7 Let m(k) = k**3 + 6*k**2 - 9*k + 2. Let g be m(4). Suppose g = 4*l - 6*l. Let f = 75 + l. Calculate the highest common factor of f and 84. 12 Let r = 267 + -244. Suppose -9*b = -103 - r. What is the greatest common divisor of 182 and b? 14 Let r = 1209 + -2166. Let j be ((-2)/3)/(22/r). Let a(c) = c**2 + 3*c + 23. Let f be a(12). What is the greatest common factor of f and j? 29 Let a be 22/(-165) - (-28744)/30. Suppose 11*s = -320 + a. What is the highest common factor of s and 464? 58 Let v = -11011 + 19916. Calculate the highest common divisor of 39 and v. 13 Let o(k) = -2*k**3 - 18*k**2 + 39*k + 13. Let y be o(-11). Suppose 0 = d - 0*d + 3*f - 23, d + 2*f = 21. What is the highest common factor of d and y? 17 Let s(k) = 75*k - 1177. Let g be s(16). Calculate the greatest common factor of 3013 and g. 23 Let d be (2/(-7) - 0) + (-10)/14. Let r be ((-36)/(-14))/d*-7. What is the greatest common factor of r and 126? 18 Suppose -6*p - 16 = f - 10*p, f = 13*p - 70. What is the highest common divisor of 16 and f? 8 Let h(g) = -5*g**2 - 160. Let w be h(15). Let u = -1245 - w. Let q = -10 + 15. Calculate the highest common divisor of q and u. 5 Let f be (-7116)/(-8)*(-5 - -9). What is the greatest common factor of 6 and f? 6 Let p be 2 - ((-324)/4 + 2). Suppose 821 = 5*d + p. Calculate the highest common factor of d and 37. 37 Suppose 0*x - 80 = -5*x. Suppose 44 = 3*a + q, 25 = a - 3*q - 3. Calculate the greatest common factor of a and x. 16 Let i(l) = l**2 + 13*l + 32. Let o be i(-10). Let m be (-2)/(-9) - o*(-2065)/45. Let t = -83 + m. What is the greatest common divisor of 72 and t? 9 Let r(c) = -c**3 + 6*c**2 - 7*c + 9. Let k be r(7). Let m = -1007 + 1110. Let z = k + m. Calculate the highest common divisor of 70 and z. 14 Let d(a) = 65*a**2 - 7*a - 12. Suppose -l - 2 = -0*l. Let g be d(l). Let s = g - 174. What is the highest common divisor of s and 11? 11 Let a(h) = 3*h**3 + 44*h**2 + 26*h + 28. Let q be a(-14). What is the highest common divisor of 1148 and q? 28 Suppose 0 = 5*p + 5, -9*g + 80621 - 15415 = -p. What is the highest common divisor of g and 70? 35 Suppose -29 = 9*d - 182. Suppose 13 = 6*c - d. What is the highest common divisor of c and 515? 5 Let j = 54 + -18. Let f = j + -11. Suppose -3*p = t - 11, -3*t = -5*t + 5*p. Calculate the highest common divisor of t and f. 5 Let a = 110 + -100. Let v(p) = p**3 - 10*p**2 + 2*p - 9. Let d be v(a). Calculate the highest common divisor of 176 and d. 11 Suppose 0 = -8809*p + 8814*p - 2830. Calculate the greatest common factor of p and 6. 2 Suppose -8*d = -475 + 203. Calculate the highest common divisor of 340 and d. 34 Suppose 1459 + 166 = 5*v - 3*q, 0 = -q. Calculate the highest common divisor of v and 39. 13 Let u = 35857 + -35650. Suppose 0 = 3*y + 2*y. Suppose -92 = -y*p - 4*p. Calculate the greatest common divisor of u and p. 23 Let k = -3122 + 3152. What is the greatest common divisor of k and 465? 15 Let m = -7878 + 9471. What is the highest common factor of 413 and m? 59 Let d(r) = -10*r**3 + r**2 + 3*r. Let m be d(-3). Suppose -147*s + 927 = 69*s - 6849. Calculate the highest common factor of m and s. 18 Let o = 3176 - 940. Calculate the greatest common divisor of o and 39. 13 Let i be (285/2)/(10/(-20)). Let f = i + 474. Calculate the greatest common divisor of 14 and f. 7 Suppose 0 + 12 = 4*s, -2*s + 101 = 5*d. Let n = d - -16. Let w = -23 + 33. Calculate the greatest common divisor of w and n. 5 Let n(f) = 7*f - 33. Let g be n(5). Suppose 18 = 2*j - g. Let b(p) = p**3 - p**2 + 2*p - 4. Let h be b(3). What is the greatest common factor of h and j? 10 Let y = 9437 - 5645. What is the highest common divisor of y and 144? 48 Let x be 0/(-3 - 2 - -3). Suppose -y - 2*k + 33 + 54 = x, -k = 0. Suppose -11*c + y = -8*c. What is the greatest common factor of 319 and c? 29 Suppose -2*b + 16 = 2*t + 2*b, -5*b - 5 = 0. Let a = 89 - 134. Let j be 3*-4*a/18. Calculate the greatest common factor of t and j. 10 Suppose -u = -4 + 3. Let a be (-4)/(-8)*u*8. Let g(h) = h**2 + 7*h - 102. Let l be g(-17). Calculate the greatest common divisor of a and l. 4 Let s = 460 - 228. What is the greatest common factor of 3596 and s? 116 Let f = 38 - 17. Suppose 3*u = 4*u - f. Let s be 16/((-64)/(-9))*4/3. What is the greatest common divisor of s and u? 3 Suppose -3*s - j = -2525, 0 = -3*s - 5*j - 427 + 2972. Suppose -123*n + 612 = 95*n - 2440. What is the greatest common factor of s and n? 14 Let x(w) = -w**2 + 48*w + 215. Let i be x(44). What is the greatest common divisor of 34 and i? 17 Suppose -11*o + 4*q = -16*o + 460, 206 = 2*o + 6*q. Suppose -4*b + 92 - 28 = 0. Calculate the greatest common factor of o and b. 8 Suppose 69*f = 12924 + 9846. What is the highest common divisor of f and 30? 30 Suppose 2*u + 3*p - 631 = 0, -p - 4*p - 348 = -u. Let l = -21587 - -21644. Calculate the greatest common divisor of u and l. 19 Let r(i) = -i + 47. Let u(t) = 45. Let m(l) = 6*r(l) - 7*u(l). Let x be m(-7). Calculate the highest common divisor of x and 72. 9 Let z be (-3267)/36 - (-1)/(-4). Let g = z - -336. Let s = 414 - g. Calculate the highest common factor of 26 and s. 13 Suppose -7*u + 2*g = -2*u - 945, 0 = 3*u + 5*g - 567. Let q = -113 + u. What is the highest common divisor of 4 and q? 4 Let s(o) = -1067*o + 8564. Let f be s(8). Let g be 2/8 + (-921)/(-12). What is the highest common divisor of g and f? 7 Let p be (-145483)/(-171) - (-4)/18. Suppose -8*s + p = 91. Calculate the highest common divisor of 5 and s. 5 Suppose -g + 93 = 21. Let n(y) = -8*y - 103. Let v(w) = -8*w - 100. Let k(x) = 2*n(x) - 3*v(x). Let f be k(-5). What is the greatest common factor of f and g? 18 Let q be 34/2*(-1 + 2). Suppose -29*m + 17*m + 2052 = 0. Suppose -2*o + m = c, -o + 3*o + 3*c - 173 = 0. Calculate the highest common divisor of o and q. 17 Let s be (24/(-10))/((-4)/210). Suppose -227 = -4*x - 2*w + 111, -5*x = 4*w - 424. What is the greatest common factor of x and s? 42 Let d(a) = -3*a + 5. Let z be d(0). Suppose -4*u + 43 + 87 = -2*f, -z*f = -2*u + 317. Let s = f - -74. Calculate the greatest common divisor of 99 and s. 11 Let y = -48 - -3050. What is the greatest common factor of y and 158? 158 Let v be 5 + 2 + -8 - -98. Suppose -v + 1 = -3*c. Calculate the greatest common divisor of c and 1. 1 Suppose -2*a - 353 = 2515*h - 2518*h, -3*h + a = -349. Suppose p - 92 = -3*p. Calculate the highest common factor of p and h. 23 Let d = 91 + -91. Let g(v) = v**3 + 2*v**2 - 3*v + 28. Let k be g(d). Calculate the greatest common divisor of 84 and k. 28 Suppose 0 = 4*v + 5*n - 137, -v + 0*v - 4*n = -26. Suppose -62 - v = -2*u. Let h = u - 13. Calculate the greatest common divisor of h and 74. 37 Let p(d) = -162*d**3 + d**2 + 3*d - 4. Let w be p(1). Let j = -143 - w. What is the highest common factor of j and 19? 19 Let o be (-1)/((-18)/(-10) - 2). Suppose 104 - 142 = -19*f. Suppose 2*r + 183 = o*i + 4*r, -i - f*r + 43 = 0. What is the highest common factor of i and 7? 7 Let k be -1 - 1508/(-16) - 34/((-3264)/72). What is the highest common divisor of 9024 and k? 94 Let y(m) = -21*m - 1. Let a be y(-6). Let g(u) = -43*u**2 + 696*u - 28. Let j be g(16). Calculate the greatest common divisor of a and j. 25 Let q(w) = -w**3 + w**2 + 3*w - 1. Let d be q(-3). Suppose -4*m + 14 = -d. Let n = 951 + -921. Calculate the highest common factor
{ "pile_set_name": "DM Mathematics" }
*2 + 2*s**4 - s**2 + 3 + 2*s**4 - 3. 9*s**4 Expand (1 - 1 + n**3)*(9*n - n + 4*n) + 3*n**4 - 5*n**4 + 3*n**4 + (0*n**3 - n**3 + 2*n**3)*(-2*n - 3*n + 3*n). 11*n**4 Expand (x + 5 - 5)*(36 + 0*x + 2*x - 48). 2*x**2 - 12*x Expand n - 4*n + 2*n + (2*n - 2*n + n)*(1 - 5 + 1) + 0 - 2*n + 0. -6*n Expand ((0*c + 0*c - 2*c)*(c - c + 2*c**2) - c**3 + c**3 - c**3 + 0 + 4*c**3 + 0)*(5*c**2 - 5*c**2 + 2*c**2). -2*c**5 Expand -29*w**3 - 26 + 26 + 0*w**3 - 2*w**3 + 0*w**3 + (2*w + 5*w - 6*w)*(-4 - 2*w**2 + 4) + (3*w**2 - 2*w**2 + w**2)*(4*w - 4*w - w). -35*w**3 Expand (2 + v**3 - 2)*(5 - 5 + 2) + 0*v + 3*v**3 + 0*v + 5 + 6*v**3 - 5. 11*v**3 Expand (5 + 2 - 4)*((-4 - 2*w + 4)*(2 - 2 - 1) + 0*w + 0*w + 3*w). 15*w Expand (2*s - 3*s + 0*s)*(-2 - 2 + 2)*(3*s - 3*s - 4*s)*(-3*s + 3*s + 5*s**3). -40*s**5 Expand 3*a**2 + 7*a**2 - 5*a**2 + (6*a - 4*a - 4*a)*(0*a + 2*a + 3*a). -5*a**2 Expand (59 - 9*w - 59)*(-1 + 1 + w**4). -9*w**5 Expand (1 + 0 + 0)*(5*w**3 + 2*w**3 - 3*w**3). 4*w**3 Expand 2*j + 4*j - 5*j + 5*j - 13 + 13 + (-1 + 1 - j)*(3 - 3 - 1) + 0 + j + 0 - j - 2 + 2 + (3 - 2*j - 3)*(-1 - 1 + 1) + j - 3*j + 4*j. 11*j Expand (-2*s + s - s)*(0 + 0 - 1)*(5*s - 2*s + 0*s). 6*s**2 Expand (6*x**2 + 0*x**2 - 3*x**2)*((-3 + 3 - 1)*(-6*x + 5*x + 4*x) + 0*x - x + 3*x). -3*x**3 Expand -7*t**2 + 0*t**2 + 4*t**2 + (0*t - t - t)*(t + t + t) + (0 - 2*t + 0)*(-t - 2 + 2). -7*t**2 Expand (-6*n + 125 - 39 + 8*n)*(6 - 3 - 1). 4*n + 172 Expand (t**2 - t**2 + 2*t**2)*(-2*t**2 + 3*t**2 - 2*t**2) - 3*t**3 + t**4 + 3*t**3 + 0*t**4 + t**4 - 3*t**4 + 3*t**4 - 13*t**4 - t**4. -14*t**4 Expand (3*s - s**3 - 3*s)*(3*s**2 + 1 - 1 + (s - 2*s + 3*s)*(-s - 3*s + 3*s)). -s**5 Expand (-s + 0*s + 0*s)*(8*s + 10*s + 16*s + (-2*s + 3*s + s)*(2 - 1 + 1) - 2 + 3*s + 2). -41*s**2 Expand (-5 - 3*g**2 + 5*g**2 - 5*g**2)*(3*g**2 - g**2 - 5*g**2). 9*g**4 + 15*g**2 Expand (2*h + h - 4*h)*(-3*h + 2*h + 0*h)*(2*h + 0*h + h). 3*h**3 Expand (u + u + 0*u)*(3 - 2 - 2) + 2*u - u + 0*u. -u Expand (-s**5 + 0*s**4 + 0*s**4)*(-1 - 2 + 8)*(4 - 2 + 0)*(0 - 3 + 2). 10*s**5 Expand (2 - 2 + 1)*(k + 4 - 4 + (-1 + 0 + 0)*(-3*k + k - k)). 4*k Expand (5 - 5 - d)*(-6 + 6 + d + (-6 + 2 + 3)*(-3*d + 0*d + 2*d)). -2*d**2 Expand (2*i + i**2 - 2*i)*(-2*i**3 + i**2 - i**2) - 2*i**5 - 2*i**4 + 2*i**4 - 3*i + 0*i + i**4 + 27*i**5 + 2*i. 23*i**5 + i**4 - i Expand (-3*v**2 + 5*v**2 - 3*v**3 + 0*v**3)*(v - 6*v + 0*v). 15*v**4 - 10*v**3 Expand (-8*o**2 + 2*o**2 - 3 + 1)*(3*o**2 - 3*o**2 + o**2). -6*o**4 - 2*o**2 Expand (2*b + 0*b - 3*b)*(-5*b - 6*b + 4*b). 7*b**2 Expand (0*x**4 + x**4 - 3*x**4)*(0*x + 0*x + 1 - x). 2*x**5 - 2*x**4 Expand (0*b + 0*b - b)*(-5*b**4 - 32*b**4 + 8*b**4). 29*b**5 Expand (c - 3*c - 1 + 4*c)*(4 + 4*c - 4 + 5*c - 4*c - 2*c + (2 + 1 - 4)*(4*c - 3*c - 3*c) + 3*c - 3*c + 2*c - c + 1 - 1 - 2*c + c + 2*c). 14*c**2 - 7*c Expand (-1 - 5 + 4 + (-4 - 5 + 3)*(-1 - 2 + 1))*(-4*j + 6*j - 4*j). -20*j Expand -7 + 7 + 2*d + (6 - 2 - 1 + (-1 + 2 + 1)*(5 + 0 - 3))*(d + d + 0*d). 16*d Expand 0*r**4 - r**4 - r**4 + (-r**2 - r**2 + 5*r**2)*(2*r**2 - 3*r**2 + 2*r**2) + r**4 - 6*r**4 + 0*r**4. -4*r**4 Expand (-2 - 2 + 6)*(3*r**2 + 5*r**2 - 4*r**2)*(11 + 7 - 6). 96*r**2 Expand (-2*l + 0 + 0)*(-5*l + 3*l + 0*l + 4*l - l - l + (4 - 3 + 0)*(-1 + 1 + l))*(0 + 3 + 0). -6*l**2 Expand ((-1 + 3 + 0)*(2*d + d - d) + 3 + d - 3 + 2*d - d + d)*(-2*d + d + 0*d)*(-5*d + d + 6*d). -14*d**3 Expand (3 + 3 + 2)*(-d + 2*d - 3*d). -16*d Expand (-5*g + 5*g**4 + 5*g)*(-6*g - 3 - 4 + 7*g). 5*g**5 - 35*g**4 Expand (-5*z + z + 1 - 3)*(-5*z + 0*z + 3*z). 8*z**2 + 4*z Expand (4*u + 4*u - 2*u)*(2*u - 2*u - 2*u**2) + (1 + 2 - 1)*(-2 + 2*u**3 + 2) - u**3 - 3*u**3 + 6*u**3. -6*u**3 Expand (25*m + 25*m - 52*m - 19)*(1 - 1 - m). 2*m**2 + 19*m Expand (6 - l + 2*l + 4*l**2 - 2*l**2)*(-2 - 8 - 2). -24*l**2 - 12*l - 72 Expand (8*p - 2*p + 0*p)*(5*p + 1 - 3*p + 2)*(p - 3 + 3). 12*p**3 + 18*p**2 Expand (-1 + 2 + 1)*(-3*v + 0*v + v). -4*v Expand (-h**3 + 2*h**3 + 11*h**3)*(0*h**2 + h**2 - 3*h**2 + h**2 + 4*h**2 - 3*h**2 + (1 + 2*h - 1)*(2*h - 3*h + 3*h) - h**2 + 0*h**2 - h**2). 24*h**5 Expand (0*u - 7*u + 1 - u)*(-3 + 0 + 1). 16*u - 2 Expand (6*i**2 - 2*i**2 + 0*i**2)*(-4*i**3 + 2*i**3 + i**3)*(6 - 1 - 2). -12*i**5 Expand (-2 + 2 - r)*(4*r - 3 + 3)*(8 - 9 - 12)*(-5 + 0 + 3). -104*r**2 Expand (-2 - 1 + 1)*(7 - 7*c - 1 - 4). 14*c - 4 Expand 2*r + 14*r - 5*r + (-r - 6*r + 4*r)*(0 - 3 + 2) + r - 2*r + 3*r - 3*r - r + 3*r. 15*r Expand (7*t**4 - 4*t**4 + 3*t**4)*(-14 - 41 + 40). -90*t**4 Expand (-6 + 2 + 6 - 5*y)*(-5*y**4 + 3*y**4 + 4*y**4). -10*y**5 + 4*y**4 Expand (3 - 3 - 1)*(-3*g + g + 4*g) - 3*g + 2*g + 4*g + (-3 + 0 + 5)*(-1 + 1 + 2*g) + (-4 + 6 - 3)*(-2 + 2 + g) + 0*g + 0*g - g. 3*g Expand (2*f**2 - 2*f**3 + 1 - 5*f**2 + 2*f**2)*(-3 + 2*f + 3). -4*f**4 - 2*f**3 + 2*f Expand (-2*l**3 + 6*l - 6*l)*(-4*l + 5*l - 3*l + (2 - 2*l - 2)*(1 + 1 - 3) + 4*l + 0*l - 3*l + l - 1 + 1 - 5*l + 0*l + 3*l - 2 + 2 + l). -2*l**4 Expand -4*d + 4*d + d**3 + (-2*d - 4*d + 5*d)*(-26*d**2 + 116*d**2 - 51*d**2) + 5*d**3 + d**3 - 5*d**3. -37*d**3 Expand 5*l**5 + 2*l**5 - 4*l**5 + (-5*l + 4*l + 7*l)*(-4*l**2 + 4*l**4 + 4*l**2). 27*l**5 Expand -k**5 + k**5 - 3*k**5 + (18*k + 11*k**2 - 18*k)*(-2*k**3 - 5 + 5) + 2*k**5 + k**5 - 4*k**5 + 3*k**3 - 3*k**3 - k**5. -27*k**5 Expand (1 - 2 - 2)*(3*z - 5*z + 3*z) - 5*z + 2*z + 4*z. -2*z Expand (1 + 3 - 2)*(-2 + 0 + 4)*(1 - 1 - 2)*(-16*g - 4*g - 6*g). 208*g Expand -6*o - 12 + 12 + (-5 + 4 - 1)*(-2*o + o + 0*o). -4*o Expand 68*s + 4 - 68*s + 4*s**2 + (1 - 2*s - 1)*(0 + 0 - 2*s). 8*s**2 + 4 Expand (1 - 3*h**2 - 1)*(8 + 5*h - 8)*(-4 + 5 + 1). -30*h**3 Expand (0*k**2 + 4*k**2 + k**2)*(0*k**2 - 7*k**2 + 2*k**2). -25*k**4 Expand (2*j**5 + 0*j**5 - j**5)*(1 + 3 - 3) + (j**3 - 2*j**3 + 3*j**3)*(9*j**2 - 3*j**2 - 2*j**2). 9*j**5 Expand -74 - 18*o**4 + 74 + (5 - 5 + 2*o)*(-o**3 + 3*o**3 + 0*o**3). -14*o**4 Expand (0 - 6 + 3)*(1 + c - 1)*(0 - 2*c**4 + 0). 6*c**5 Expand 0 + 0 - w**3 + 5*w**2 - w**3 - 5*w**2 + (-1 + 1 + 2*w**2)*(2*w + 3 - 3) - w + w - 2 + w**3. 3*w**3 - 2 Expand 0*o + 2 - o + 0 - 2 + 2 + 2*o + (2*o + 3*o - 4*o)*(5 - 1 - 3). 2*o + 2 Expand (-5 - 2*j**2 + 5)*(-8 - 35 + 10). 66*j**2 Expand 3 - d - 3 + (-2 - 3 + 1)*(-4 + 2*d + 4). -9*d Expand (0*u**3 - 5*u**3 + 2 + 4*u**3)*(-u**2 - 2*u + 2*u)*(0 + 2 - 3). -u**5 + 2*u**2 Expand -5 + 5 + 3*i**2 - 2*i**2 + 5*i**2 - 2*i**2 + (0 - 2*i + 0)*(0*i + 2*i + 0*i) - 3*i**2 + 4 - 4 + 3*i - 3*i + 2*i**2. -i**2 Expand 5 - 3*s - 5 + (-4 + 1 + 2)*(-3*s + 4*s + s) + 2*s - 6*s + 2*s - s + 0 + 6 - 1 - s - 3*s + 3*s. -9*s + 5 Expand -2*j**4 + 3*j - 3*j + (-3*j + 5*j - j)*(2 - j**3 - 2) + 3*j - 3*j**4 - 3*j + 0*j**4 + 2*j**4 - 3*j**4 + 3*j**2 + 2*j**2 - 12*j**4 - 4*j**2. -19*j**4 + j**2 Expand -n + 2*n**3 + n + (0*n + 2*n - 3*n)*(0*n**2 + 0*n**2 + 2*n**2) + 3*n**3 + 0*n**3 + 2*n**3. 5*n**3 Expand (-h + h - 4*h)*(0 + 3 + 2)*(0*h - 2*h - h). 60*h**2 Expand -m**5 - m**5 + 4*m**5 + (140*m**4 - 41*m**4 + 33*m**4)*(-1 + 2*m + 1). 266*m**5 Expand -53 - 53 + 105 - 19*o**5 + (2*o + 4*o - 4*o)*(2*o**4 - o**2 + o**2). -15*o**5 - 1 Expand (a - 1 + 3 - 3)*(2*a**4 + 8*a**4 - 2*a**4). 8*a**5 - 8*a**4 Expand (4 - 2 - 1)*((-4 + 2*m + 4)*(-m - 3*m**4 + m) - m**5 - m**5 - 2*m**5). -10*m**5 Expand (0 + 1 + 4)*(0*v + 6*v - 4*v)*(2 - 1 + 0). 10*v Expand -x**3 - 13*x**4 - 4*x**3 + 10*x**4 + (-x**4 - 2*x**4 + 4*x**4)*(2 - 5 + 1) + x**2 - x**4 - x**2. -6*x**4 - 5*x**3 Expand (1 - 1 + 2*b)*(1 - 2*b - 1) + 5 + 29*b**2 - 15*b**2 - 17*b**2. -7*b**2 + 5 Expand 4 - 2*p - 4 - 35 + 4*p + 35 - p + 3*p - 3*p + (-2 + 1 + 3)*(-2*p + 2*p - 2*p). -3*p Expand (-7*a - 19*a + a)*(-2 - 1 + 0). 75*a Expand (5*a**2 - 2*a**2 - 2*a**2)*(-1 + 1 - 2*a + 4 - 10*a - 4 + (2 + 2 - 6)*(2*a + 0*a - a) - 3*a + 5*a + 0*a). -12*a**3 Expand (t**2 - 2*t**2 + 2*t**2)*(4*t - t - t)*(-5 + 4 + 8). 14*t**3 Expand (-3 + 3 - 2*b)*(2 + 2 - 5) + b - 5*b - 2*b. -4*b Expand (0*g**2 - 2*g**2 - 2*g**3 + 3*g**2 - 2*g**3 + 2 - 2 + (g**2 + 4*g**2 - 3*g**2)*(-6*g - g + 5*g) - 2*g**3 + 2*g**2 - 2*g**2)*(0 + 2*g + 0). -20*g**4 + 2*g**3 Expand (-2*z + z + 3*z)*(10 - 7 + 4) - z + 4 - 4. 13*z Expand (29 - 16*i - 29)*(-i**2 + 2*i - 2*i). 16*i**3 Expand (0*u**2 - u**2 - u + 2*u**2)*(4*u**2 + 0*u**2 - 2*u**2 - 2*u**2 + 0 + 0 + (u + 2*u - u)*(2*u + 0*u - 4*u)). -4*u**4 + 4*u**3 Expand (-4*i**3 - 3*i**3 + 0*i**3)*(-2
{ "pile_set_name": "DM Mathematics" }
test common factor of 226 and q? 2 Suppose -6*p + 272 = 164. What is the highest common divisor of 1314 and p? 18 Let m = -1520 + 1864. What is the highest common factor of 301 and m? 43 Suppose -20*x - 3 + 203 = 0. Let d be -1 + 1/((-2)/238). Let r be d/(3/(-1))*2. Calculate the greatest common divisor of r and x. 10 Let z(i) = 3*i**2 + 8*i - 27. Let c be z(-11). Suppose 2*d = -4*x - 2*d + c, 6 = 3*d. Calculate the highest common factor of 12 and x. 12 Suppose y + 4*g - 8 + 1 = 0, 0 = -4*y - 4*g - 8. Let s be 43 - ((-6)/15 - 12/y). What is the highest common divisor of s and 205? 41 Suppose g - 235 = 6*g. Let a = -26 - g. What is the highest common factor of a and 7? 7 Suppose 75*k = 73*k. Suppose 18 = 3*m + 5*y, k*y - 3*y - 53 = -4*m. Calculate the highest common factor of m and 33. 11 Let y be (98/6 + 2)*15. Suppose -y = -t - 4*t. Let l = -94 + 116. Calculate the highest common factor of l and t. 11 Suppose 3*i - 26 = -4*j, -j - 5*i - 5 = -3. What is the highest common divisor of j and 80? 8 Let d = -18 - -28. Let p(y) = 2*y**2 - 10 + 2 + 7*y + 2*y**2 - 3*y**2. Let x be p(-9). Calculate the highest common divisor of d and x. 10 Let f be (-66)/(-495) + 656/30. Calculate the greatest common divisor of 14 and f. 2 Suppose 0 = -a + 1, 0 = -2*t - 4*a + a + 25. Let n be 10/(-75) - (-2117)/15. Let l = n + -53. What is the greatest common divisor of l and t? 11 Let q be 39 + (-15)/(-3) + -3. Let u = q - 25. Let y(p) = p**3 + 128. Let r be y(0). What is the greatest common factor of u and r? 16 Let k be 32 + 0 + 1 + -4 + 2. Calculate the greatest common factor of 1 and k. 1 Suppose 0 = -2*l - 3*s + 39, -4*l - 3*s + 5*s = -118. Calculate the greatest common factor of l and 4077. 27 Suppose -2*r = -a - 142, 0*a - 256 = -4*r - 5*a. What is the highest common factor of r and 253? 23 Let d be (((-920)/48)/23)/(1/(-30)). What is the highest common divisor of d and 20? 5 Let z(n) = -3*n**2 + 165*n - 129. Let m be z(54). Calculate the greatest common divisor of m and 15. 3 Suppose 0 = b + 2 - 17. Let p = 6 + b. Calculate the greatest common divisor of 14 and p. 7 Suppose 34*z = 158*z - 47616. What is the greatest common divisor of 240 and z? 48 Let r be 4/(-42) - 678408/(-2898). What is the greatest common divisor of r and 36? 18 Let p be (20/8)/((-10)/(-16)). Suppose 2*t - t - 12 = 0. Suppose t + 32 = p*k. Calculate the greatest common factor of 11 and k. 11 Let u = -353 + 357. What is the greatest common divisor of 38 and u? 2 Suppose 0*x + 4*x + 3*f = 36, -3*x - 2*f = -27. Let u be 4/6 + 30/x. Let o(c) = -5*c - 1. Let m be o(-1). Calculate the highest common factor of m and u. 4 Suppose 0 = -4*n - 0*n - 340. Let z = n + 176. Let v = z + 14. Calculate the highest common divisor of 15 and v. 15 Let r(a) = -a**2 + 9*a + 30. Let n be r(9). What is the highest common divisor of n and 70? 10 Let m(o) = 3 - 87*o + 4 + 3 + 89*o. Let l be m(7). Calculate the greatest common divisor of l and 6. 6 Suppose 3 + 11 = -m. Let h = 59 + m. Suppose 0 = -2*n - 10, 4*t - 3*n + 19 = 106. Calculate the highest common divisor of t and h. 9 Suppose -5*y + 2*k = -234, 4*y = k - 17 + 203. What is the highest common divisor of 736 and y? 46 Let o(p) = 4*p + 6. Let k be o(9). Suppose -3*i + d - 4*d + 33 = 0, -2*i + 3*d = -k. Calculate the highest common divisor of i and 3. 3 Let d be ((-63)/(-30) - 2/20) + 193. What is the greatest common divisor of 130 and d? 65 Let m = 510 + -360. What is the highest common divisor of m and 310? 10 Suppose -5*q = 5*d - 2*q - 3, -3*d + q = -13. Suppose 0 = -3*b + d + 24. What is the highest common factor of b and 135? 9 Suppose -l = 4*v - 2750, -v + 698 = 39*l - 44*l. What is the greatest common factor of v and 16? 16 Suppose -26*y + 1512 = 10*y. Calculate the highest common factor of y and 560. 14 Let n = 10 - 10. Suppose -3*a = -5*w + 4 + 18, -3*a - 12 = n. Let i = 5 - -7. What is the highest common factor of i and w? 2 Let j be (-6)/(-33) + 11/(605/2190). Calculate the greatest common divisor of 800 and j. 40 Let u(k) = 33*k - 461. Let x be u(17). Calculate the highest common divisor of x and 280. 20 Let l be -5 + (-4)/((-32)/440). What is the highest common factor of 110 and l? 10 Suppose 0 = 33*p - 5575 - 1289. Calculate the highest common factor of 256 and p. 16 Suppose -3*m + 480 + 225 = 5*u, -2*u + 273 = 3*m. Suppose 48 = 3*k - u. Calculate the greatest common divisor of k and 16. 16 Let r(h) = h**3 + 2*h**2 + 21*h - 42. Let g be r(3). Calculate the greatest common divisor of g and 30. 6 Let p(i) = -7*i + 80. Let b be p(5). What is the highest common divisor of b and 9? 9 Let b = -9 + 937. Calculate the highest common factor of 29 and b. 29 Let b(k) = -k**2 + 15. Let j be (-45)/15 - 6/(-2). Let c be b(j). What is the greatest common factor of 150 and c? 15 Suppose 4*a - 1640 = 9*j - 11*j, -4*j + 16 = 0. Calculate the highest common factor of 51 and a. 51 Let r = -78 + 95. Let k(g) = g**2 - 7*g + 9. Let j be k(8). Calculate the greatest common divisor of j and r. 17 Let y = -41 - -39. Let i be 2/(y/(-108)*3). What is the highest common factor of 4 and i? 4 Suppose -2*k + 3*k = 42. Suppose -k = -3*p + 24. Suppose 314*x = 312*x - 10, y + 5*x - 8 = 0. Calculate the highest common divisor of y and p. 11 Suppose 0 = 3*v + 14 - 23. Suppose 0 = -2*i - 5 - v. Let d(r) = -24*r - 6. Let y be d(i). Calculate the greatest common factor of y and 10. 10 Suppose -5280 = -3*o + v + 2*v, -2*v + 1760 = o. Suppose -9*a + o = a. What is the highest common divisor of 16 and a? 16 Let x = -2 - -4. Suppose 60 = x*o + o. Let a(n) = 2*n**3 + 6*n**2 - 2*n - 16. Let f be a(2). What is the highest common divisor of o and f? 20 Suppose -v - 5*i = -80, v - 3*i + 286 = 5*v. What is the highest common divisor of 91 and v? 7 Let i = -1073 - -1601. What is the highest common factor of 48 and i? 48 Suppose n = -17*n + 2718. Let s = -56 + n. What is the highest common factor of 19 and s? 19 Suppose 24*k = 1912 + 8840. What is the highest common divisor of 560 and k? 112 Suppose -3*f = -7*f - 20. Let c = 30 + f. Let z = 37 - c. What is the greatest common factor of z and 12? 12 Let i(q) = -25*q + 5. Let r(j) = j**3 - 2*j**2 - 2*j + 1. Let k be r(2). Let f be i(k). Calculate the greatest common divisor of f and 10. 10 Suppose -4*b = -4*q + 29 - 5, -2*b + 4*q - 12 = 0. Let r = 24 - b. Calculate the greatest common factor of r and 120. 30 Suppose -g + 69 = -4*g. Let n = g - -28. Suppose -30 = n*o - 6*o. What is the highest common divisor of o and 75? 15 Let s = 55 + 426. What is the highest common factor of s and 65? 13 Suppose -2*i + 0*i = -o - 6, 3*o + 16 = 5*i. Let t = 23 + -11. Suppose -t + 0 = -4*k, 0 = 3*w + 2*k - 24. What is the highest common factor of i and w? 2 Let d be (9/6)/(3/5)*24. Let y = 134 - d. Calculate the highest common factor of 185 and y. 37 Let b(p) = -p - 1. Let o be b(-3). Suppose 27 = r - o*t - 2*t, 5*r = -4*t + 15. Let u be (4/6)/((-2)/(-126)). Calculate the greatest common factor of u and r. 7 Suppose 0 = 8*t - 7*t - 88. Calculate the greatest common divisor of 55 and t. 11 Suppose 2*u - r = -4 - 3, 3*u + 5*r = -43. Let n be (-64)/u*((-12)/8 + 3). Calculate the greatest common factor of n and 56. 8 Let r be 7/(1 + 0 + 0). Let t be (0 + -1)*r/((-7)/24). What is the highest common divisor of 72 and t? 24 Let y = -7 + 14. Suppose -40*p + 2079 = -37*p + 24*p. Calculate the greatest common divisor of y and p. 7 Suppose 2999 = 39*j + 269. Calculate the highest common divisor of 56 and j. 14 Let g(o) = 4*o**2 + 24*o - 45. Let s be g(2). Calculate the greatest common divisor of s and 209. 19 Let i = 59 - 51. Let r be (-12)/(0 - (-6)/(-8)). Calculate the highest common divisor of i and r. 8 Suppose 5*n - 11 = -2*j, 5*n = 2*j - 3 + 2. Suppose 9*g + 3*y = 11*g - 18, 3*g = -2*y + 1. Calculate the highest common divisor of j and g. 3 Suppose -36*h = -64*h + 1540. Let s(a) = a + 11. Let d be s(0). Calculate the highest common divisor of h and d. 11 Let t(i) = 19*i + 112. Let o be t(-6). Let r be (15/(-2))/(o/4). Let d = -2 + 7. What is the greatest common factor of d and r? 5 Let f be (-127)/1 + 2/(-1). Let n be 8/20 - f/15. Let h be 1/(-2) - 26/(-4). Calculate the highest common factor of n and h. 3 Suppose 11 - 20 = 3*b. Let z be (b - 279/(-21))*7. Calculate
{ "pile_set_name": "DM Mathematics" }
3520? True Does 4180 divide 609611200? True Does 970 divide 342330460? True Is 26110849 a multiple of 352? False Does 9 divide 461318767? False Is 48074278 a multiple of 1211? True Does 13 divide 20890597? True Is 51040350 a multiple of 75? True Does 1458 divide 210432658? False Is 188 a factor of 4510782512? True Does 20 divide 897090500? True Is 1928020 a multiple of 5? True Is 62540268 a multiple of 588? True Does 92 divide 25094156? False Is 5396813 a multiple of 202? False Does 17 divide 82479410? True Is 88 a factor of 4851934? False Is 126 a factor of 88970868? True Does 36 divide 299786301? False Is 1073351965 a multiple of 10? False Is 774536029 a multiple of 3062? False Is 549 a factor of 107948772? True Does 381 divide 120902205? False Is 4640 a factor of 241100241? False Does 5 divide 52374350? True Does 5431 divide 346300883? False Is 204 a factor of 5268912? True Is 159860180 a multiple of 340? True Is 235614249 a multiple of 13? True Does 4414 divide 77610972? False Is 2 a factor of 31990463? False Is 3291 a factor of 2679149849? False Is 203841904 a multiple of 2558? True Does 13 divide 18358145? True Does 7 divide 3040380? True Does 28 divide 39431560? True Does 26 divide 2435995796? True Does 5764 divide 54348756? True Is 1204884375 a multiple of 1875? True Is 44 a factor of 500759688? True Does 31 divide 67371711? True Is 3594 a factor of 313445459? False Is 32 a factor of 5774230? False Is 3761100981 a multiple of 2529? True Does 1902 divide 649951440? True Is 100466443 a multiple of 14? False Does 110 divide 54047950? True Is 2207 a factor of 1176882750? True Is 889902208 a multiple of 289? False Is 4774 a factor of 172666032? True Does 632 divide 163288970? False Is 1044129 a multiple of 3? True Is 3578599779 a multiple of 1562? False Is 93 a factor of 1343492029? False Is 635973354 a multiple of 9? True Does 1024 divide 106967221? False Is 32309505 a multiple of 9? True Is 3472193703 a multiple of 3823? False Is 636 a factor of 7171458? False Is 19 a factor of 20649276? True Is 330565475 a multiple of 277? False Does 91 divide 26864292? True Is 398166220 a multiple of 1522? False Is 473947220 a multiple of 620? True Is 917789733 a multiple of 255? False Does 23 divide 15192814? False Does 34 divide 153097834? False Does 39 divide 11620157? False Does 491 divide 37536426? False Is 16 a factor of 670501409? False Is 75517934 a multiple of 79? False Does 28 divide 3258727276? True Is 1494925155 a multiple of 45? True Is 120 a factor of 50898234? False Is 1145 a factor of 73793199? False Is 357678930 a multiple of 49? True Is 61179120 a multiple of 93? True Is 18 a factor of 1598693564? False Does 1020 divide 346139530? False Is 371793156 a multiple of 14? True Is 509533488 a multiple of 258? True Does 24 divide 124436551? False Is 7 a factor of 31381987? True Is 4932603 a multiple of 69? True Is 23864112 a multiple of 36? True Is 30 a factor of 7141847? False Is 84 a factor of 28961436? True Is 349 a factor of 53154096? True Does 2816 divide 150805248? True Does 2919 divide 1715215718? False Is 54 a factor of 46885932? True Does 95 divide 12742288? False Is 223547325 a multiple of 1066? False Is 383741383 a multiple of 39? False Is 56518588 a multiple of 33? False Is 5 a factor of 203049635? True Is 23 a factor of 4739495? True Is 5767154 a multiple of 3? False Is 69162730 a multiple of 24? False Does 933 divide 4803084? True Is 307 a factor of 451531916? True Does 173 divide 1812867347? False Is 120 a factor of 976663380? False Is 30660550 a multiple of 155? True Is 131101754 a multiple of 2597? True Is 246 a factor of 5180760? True Is 14 a factor of 18302592? True Does 108 divide 73310184? True Is 316026468 a multiple of 18? True Is 175 a factor of 6257370? False Is 63855521 a multiple of 1617? False Does 5088 divide 812523072? True Is 33733341 a multiple of 35? False Is 170811986 a multiple of 25? False Is 85203955 a multiple of 1622? False Is 44146614 a multiple of 38? True Is 3697 a factor of 3226635300? False Does 41 divide 158072081? False Is 13 a factor of 259922923? True Does 92 divide 10598609? False Does 6814 divide 3223947779? False Does 5339 divide 365631385? False Is 73563323 a multiple of 138? False Does 619 divide 79309157? False Is 9331222 a multiple of 599? True Does 37 divide 999471959? False Is 222231208 a multiple of 3999? False Does 16 divide 130485216? True Does 24 divide 64327152? True Is 5396030 a multiple of 115? True Is 24942592 a multiple of 64? True Is 404 a factor of 28661849? False Does 1936 divide 71118458? False Is 1357 a factor of 6945456? False Does 637 divide 17247412? True Does 251 divide 71010661? True Does 9 divide 7337157? False Is 309 a factor of 3571046470? False Does 1234 divide 725320265? False Is 121305427 a multiple of 287? False Is 276298867 a multiple of 240? False Does 17 divide 72123299? True Does 31 divide 176788009? True Does 9 divide 1384716152? False Is 1883 a factor of 16633949? False Is 1122124962 a multiple of 4840? False Is 41 a factor of 72493447? False Is 90532820 a multiple of 18? False Is 63333292 a multiple of 530? False Is 114541376 a multiple of 32? True Is 61 a factor of 271931351? True Is 249763508 a multiple of 484? False Is 501314928 a multiple of 1473? True Does 2 divide 1035047634? True Is 10543 a factor of 905601528? True Is 334048825 a multiple of 8? False Is 73967930 a multiple of 10? True Is 6093198 a multiple of 157? False Does 887 divide 38422383? False Is 87331351 a multiple of 1060? False Is 30 a factor of 25151923? False Is 58593561 a multiple of 13? True Does 4605 divide 583057470? True Is 390353940 a multiple of 180? True Is 9434307 a multiple of 879? True Is 373489353 a multiple of 39? False Does 8 divide 60537577? False Is 217 a factor of 163707311? False Is 6 a factor of 295913352? True Does 101 divide 914426124? True Does 93 divide 34703207? False Is 1759696618 a multiple of 6946? False Is 62 a factor of 583006683? False Is 17 a factor of 51630269? False Does 13 divide 193243545? False Is 5773 a factor of 373461143? True Is 61763130 a multiple of 2574? True Is 2683316 a multiple of 107? False Does 12 divide 5335377? False Is 2036922741 a multiple of 758? False Is 665533154 a multiple of 26? True Is 2188216456 a multiple of 7528? True Does 8 divide 1295782104? True Is 69093850 a multiple of 226? True Is 176869614 a multiple of 22? False Is 1096 a factor of 31754408? True Is 53030268 a multiple of 8? False Does 55 divide 86757198? False Does 3817 divide 669093381? True Is 56612988 a multiple of 514? True Is 14 a factor of 2662013844? True Is 42285578 a multiple of 11? False Is 111013145 a multiple of 195? False Does 1175 divide 338107425? True Is 22 a factor of 765211887? False Is 49434475 a multiple of 745? True Is 346 a factor of 189130574? False Is 2774543854 a multiple of 493? True Is 148 a factor of 1600028? True Is 21104093 a multiple of 353? False Is 49614096 a multiple of 24? True Is 598 a factor of 238741932? True Is 45 a factor of 268354035? True Is 143 a factor of 53042275? True Is 2835677877 a multiple of 1838? False Does 570 divide 15466534? False Is 181826944 a multiple of 66? False Is 2060057622 a multiple of 14? True Is 247221464 a multiple of 28? True Is 311 a factor of 19694237? False Is 398971319 a multiple of 24? False Does 23 divide 326338720? True Is 2419 a factor of 2146148827? False Is 700 a factor of 200903361? False Is 35547396 a multiple of 6? True Does 311 divide 100306208? True Is 360969075 a multiple of 2295? True Is 88 a factor of 629704768? True Does 19 divide 572917139? False Does 144 divide 1305140976? True Does 342 divide 8291657917? False Is 5818576 a multiple of 248? True Is 30 a factor of 10743810? True Is 3587338936 a multiple of 3195? False Is 30443966 a multiple of 133? True Is 4 a factor of 758884? True Does 13 divide 53257607? True Is 9 a factor of 55274344? False Does 9 divide 301014396? True Is 219351425 a multiple of 1037? True Is 434 a factor of 142373038? False Does 16 divide 1145001? False Is 4071740 a multiple of 5? True Does 31 divide 200390944? True Is 11 a factor of 957162822? True Does 3 divide 17377194? True Is 307075294 a multiple of 1918? False Is 649 a factor of 1878271? False Is
{ "pile_set_name": "DM Mathematics" }
*u + u wrt u? 118*p*s + 4*p + 2802*s Find the second derivative of -250883*o**3 - 16*o + 4773. -1505298*o What is the derivative of 2*o**4 - 7*o**3 + 138*o**2 + 21*o - 766057 wrt o? 8*o**3 - 21*o**2 + 276*o + 21 Find the third derivative of 20*n**5 + 8118*n**3 + 47*n**2 - 46*n + 108. 1200*n**2 + 48708 Find the third derivative of 9*b*y**4 + 128*b*y**3 - 5*b*y**2 - 399*b*y - 13*b + y**4 + 2*y**3 wrt y. 216*b*y + 768*b + 24*y + 12 What is the second derivative of -62*a**4*d - 466*a**2*d**3 + 6*a**2 - 370*a*d**2 + 3*a*d - 9*a - 2*d**3 - 19*d**2 wrt a? -744*a**2*d - 932*d**3 + 12 Find the second derivative of -2212*b**2*o*s**2 - 56*b**2*s - 2*b**2 - 10*b*o*s**2 + 288*o*s - 8*o + 3*s**2 wrt s. -4424*b**2*o - 20*b*o + 6 Differentiate -c*r - 2*c + 59943*r**2 - 11*r - 84077 with respect to r. -c + 119886*r - 11 Find the third derivative of -11*g**4*s + 178*g**3*s + 20*g**3 + 4*g**2*s - 5*g - s + 32 wrt g. -264*g*s + 1068*s + 120 Find the third derivative of -7328*a**4 + 13645*a**2 + 2*a wrt a. -175872*a What is the first derivative of 2*f**3*r + 40156*f**3 + 7610*f**2*r - 2*f**2 + 2*r + 2 wrt r? 2*f**3 + 7610*f**2 + 2 What is the third derivative of -38*b*o**3*q + 11*b*o**2*q**3 - 3*b*o**2*q - 11*b*q**3 + b + 192*o**3*q**3 + 6*q**3 wrt o? -228*b*q + 1152*q**3 What is the derivative of -1294*j*q**4 + 7*j*q**2 + 976*j - 7 wrt q? -5176*j*q**3 + 14*j*q What is the third derivative of -6109*b**3*l**4 + 5*b**3 + 1198*b**2*l**2 - l**3 wrt l? -146616*b**3*l - 6 What is the second derivative of 4823*g**2*u**3 - 3*g**2*u**2 - g**2*u + g*u - 561*g + 26*u**3 - 380*u wrt u? 28938*g**2*u - 6*g**2 + 156*u Find the third derivative of 14*y**5 + 347*y**3 + 27975*y**2 + 2. 840*y**2 + 2082 Find the second derivative of 34564*u**5 + 14818*u + 1 wrt u. 691280*u**3 What is the second derivative of -784*g**2*p**2 - g**2*p - 175*g**2 + 301*g*p**2 - 3*g*p + 3*p**3 + 17*p wrt p? -1568*g**2 + 602*g + 18*p What is the second derivative of -4578*c**2*h**3 - 2*c**2*w + 2*c**2 - c*h**3*w - 2*c*h**2*w - 292*c*h**2 + 4*c*h wrt c? -9156*h**3 - 4*w + 4 Find the third derivative of -325621*c**4 + 4722*c**2 + 2*c - 39 wrt c. -7814904*c What is the second derivative of 538*d**5*y**2 + 381*d**3*y**3 + 2*d*y**3 - 104*d*y**2 - 4*d*y - 3*y**3 - 105*y wrt d? 10760*d**3*y**2 + 2286*d*y**3 Find the second derivative of -6492*f**4 - 2*f**3 + 27*f**2 + 706324*f wrt f. -77904*f**2 - 12*f + 54 Differentiate 53796*f - 46027 with respect to f. 53796 What is the derivative of 98184*v**3 - 350494? 294552*v**2 What is the second derivative of -302*c**5 + 16*c**4 - c**3 - 177599*c wrt c? -6040*c**3 + 192*c**2 - 6*c What is the derivative of -231*c**4*l + c**4 + 2*c*l**2 - l**2 + 3*l + 10632 wrt c? -924*c**3*l + 4*c**3 + 2*l**2 What is the first derivative of 182*c**2*z - 11*c*z**3 + 25*z**3 - 24*z**2 - 3 wrt c? 364*c*z - 11*z**3 Find the second derivative of 4*g*u*z**3 - 6*g*u - 333*g*z**4 + 8*g*z + 2*u + 14*z wrt z. 24*g*u*z - 3996*g*z**2 What is the derivative of -979915*v + 1045311 wrt v? -979915 Find the second derivative of 18221*j**4*u + 9406*j - 2*u wrt j. 218652*j**2*u What is the third derivative of 90367*y**4 - 5*y**2 - 608*y + 6 wrt y? 2168808*y Find the second derivative of 891115*y**2 - 747304*y wrt y. 1782230 What is the second derivative of 2*d**4 - 72*d**3 + 173*d**2 - 1916098*d? 24*d**2 - 432*d + 346 What is the second derivative of -3955*c**5*z - c**3*z + c*z - 221*c wrt c? -79100*c**3*z - 6*c*z What is the first derivative of -116*x + 734 wrt x? -116 Differentiate 1595570*k*p**2 - 545928*p**2 wrt k. 1595570*p**2 What is the first derivative of -1543*i**3*k - 17*i**3 + i**2*k + 19*i**2 - 2*i*k - 2*i - 31*k - 4 wrt k? -1543*i**3 + i**2 - 2*i - 31 Find the third derivative of -23976*x**3 - 18*x**2 - 7*x - 35. -143856 What is the third derivative of -199*a**6*x - a**3*j*x - 2*a**2*j - 13*a*j - 7*a*x + 2*j + x wrt a? -23880*a**3*x - 6*j*x What is the second derivative of -343959*d**5 - 2*d - 55786 wrt d? -6879180*d**3 What is the first derivative of -18*z**2 + 794*z + 141407 wrt z? -36*z + 794 Differentiate -390838*a**3 - 344663. -1172514*a**2 Find the second derivative of 464633*n**2 - 69289*n - 2 wrt n. 929266 What is the third derivative of 8132*d**3*n**4 - 40*d**3*n**3 + 603*d**3*n**2 - d + 3*n**3 + 80*n**2 - 3 wrt n? 195168*d**3*n - 240*d**3 + 18 Differentiate a*r**3 - 2*a*y - 326*r**3 - 1520*r*y + 2261*y + 10 with respect to r. 3*a*r**2 - 978*r**2 - 1520*y What is the third derivative of 20113*i**5 - 2*i**2 + 718*i + 3 wrt i? 1206780*i**2 Find the third derivative of 1305*s**3*y**4 + s**3*y**2 + 2*s**3 - 497*s**2 - 14*y**4 wrt y. 31320*s**3*y - 336*y Differentiate -3*h**3 + 2*h**2 - 467*h - 443346 with respect to h. -9*h**2 + 4*h - 467 Find the first derivative of 63*x**4 - 2724*x**2 - 353275. 252*x**3 - 5448*x Find the third derivative of 4*h**2*w**3 - 960*h**2 - 250*h*w**6 - 8*h*w**3 + 12*h*w**2 + w wrt w. 24*h**2 - 30000*h*w**3 - 48*h Find the third derivative of -172*q**5 + 1070*q**4 + 572717*q**2. -10320*q**2 + 25680*q Find the third derivative of 41046*g**3 + g**2 - 5*g - 40 wrt g. 246276 Differentiate -5*l**4 - 767*l**3 - 11052 with respect to l. -20*l**3 - 2301*l**2 What is the second derivative of 701*j**3*o**2 - j**3*o - 3*j**2*o**2 + 2*j*o**2 + 57078*o wrt o? 1402*j**3 - 6*j**2 + 4*j Find the second derivative of 6*r**4 - 15*r**3 + 34*r**2 + 28247*r. 72*r**2 - 90*r + 68 Find the second derivative of -80690*a**5 + a + 15159. -1613800*a**3 Differentiate 4186*j**3 - 5*j**2 + j + 4718 with respect to j. 12558*j**2 - 10*j + 1 Find the second derivative of 942994*k**3 + 864825*k. 5657964*k Differentiate 239144*t**4 + 164354. 956576*t**3 Find the third derivative of 371188*j**3 - j**2 - 124546 wrt j. 2227128 Differentiate 13*f**2*k**4 + 1088*f**2*k**3 + 4901*f**2 + f wrt k. 52*f**2*k**3 + 3264*f**2*k**2 What is the second derivative of 34940*r**5 + 149204*r? 698800*r**3 Find the first derivative of 2*m*x**3 - 632*m*x - 74*m - 56*x**3 - 3*x - 4674 wrt m. 2*x**3 - 632*x - 74 What is the derivative of k**3*m**2 - 224659*k**3*m - 3*m**2 - 91742*m wrt k? 3*k**2*m**2 - 673977*k**2*m What is the first derivative of -28021*s - 21843? -28021 What is the first derivative of -1228993*k - 1527294 wrt k? -1228993 Find the second derivative of 2*h**3*u*x**2 + 11*h**3*u*x + 2*h**3*x - h**3 + 3*h**2*x - h*u*x**3 + 17341*h*u*x**2 + 47*h*u wrt x. 4*h**3*u - 6*h*u*x + 34682*h*u What is the derivative of -440007*z + 395016 wrt z? -440007 Find the second derivative of 281342*z**2 + 230699*z. 562684 What is the derivative of 439771*s**4 - 478234 wrt s? 1759084*s**3 What is the third derivative of -1517*y**5 - 37*y**2 + 228*y + 2 wrt y? -91020*y**2 What is the third derivative of -3*s**3*v*x + 23*s**3*v + 37*s**3*x + 3*s**3 + s**2*v + 56*s**2*x - 2*s**2 - 206*s*v - 2 wrt s? -18*v*x + 138*v + 222*x + 18 What is the derivative of 1751330*m + 1268? 1751330 Find the third derivative of 56367*i**4 + 339*i**2 + 17. 1352808*i What is the derivative of 3*x**4 - 25*x**3 - 8*x + 1149? 12*x**3 - 75*x**2 - 8 Differentiate -1050*k**4 - 10*k**3 - 21*k - 1011535. -4200*k**3 - 30*k**2 - 21 What is the first derivative of 64*h*n*q**2 - 13*h*n*q - 67*h*n - 37*h*q**2 + 3*h - 72*q wrt n? 64*h*q**2 - 13*h*q - 67*h What is the derivative of 30*p**3 - 17*p**2 - 15*p + 40167? 90*p**2 - 34*p - 15 What is the second derivative of -1531867*d**4*q**2 + 446125*d*q**2 - 2*d*q wrt d? -18382404*d**2*q**2 What is the derivative of 4*q**3 + 122*q**2 - 2*q - 36142? 12*q**2 + 244*q - 2 What is the first derivative of 8439*r**3 + 68542? 25317*r**2 Find the third derivative of 21222*i**6 - 6194*i**2 - 2 wrt i. 2546640*i**3 Find the third derivative of -2*c**4 + 2395709*c**3 + 19855*c**2 + 11. -48*c + 14374254 What is the first derivative of -1203108*s - 3548210? -1203108 Find the third derivative of 516*w**6*y - 4*w**3*y - 70033*w**2*y wrt w. 61920*w**3*y - 24*y Find the second derivative of -113*c**3 + 180*c**2 + 670010*c. -678*c + 360 Find the second derivative of 30*s*z**5 + 73624*s*z**4 - 2604716*s*z wrt z. 600*s*z**3 + 883488*s*z**2 What is the derivative of 9716*s**4 - 2*s + 118479 wrt s? 38864*s**3 - 2 Find the third derivative of 63*f**3*m*x + f**3*m + 2156*f**3*x + 2*f**3 + 8*f**2*m*x + 14446*f**2 - f*m*x wrt f. 378*m*x + 6*m +
{ "pile_set_name": "DM Mathematics" }
*z. Is 14 a factor of r? False Suppose 5*f - 3*i + 518 = 0, -f - 5*i - 62 = 36. Let p = f - -124. Is p a multiple of 7? True Let o = -19 + 15. Let z be (-50)/o*96/20 + 0. Let r = 102 + z. Is 27 a factor of r? True Let r be 0/(2/(-1)) + 0 + 652. Let n = r - 446. Is n a multiple of 35? False Does 36 divide (-2088*(-2)/(-14))/((-7)/49)? True Let b(m) = 17*m - 71. Let n = 28 - 15. Does 15 divide b(n)? True Suppose -39*x - 11832 + 119277 = 0. Is 95 a factor of x? True Suppose -f - 90 = 44*f. Does 9 divide 91235/213*(4/(-5) - f)? False Suppose b - 3*b + 6 = 0. Suppose -b*t = -2*t - 521. Suppose t - 87 = 7*w. Is 41 a factor of w? False Suppose -3*u = -3*w + 27, -3*w + 33 = -20*u + 15*u. Suppose -w*f + 5*f + 3*o = -145, -o + 645 = 5*f. Is 26 a factor of f? True Let i be (-5)/(15/(-9))*(3 + 6). Let q = i - 22. Suppose -q*s - 8 + 218 = 0. Is 21 a factor of s? True Let v(d) = d**3 - 33*d**2 - 8*d + 14. Let f be v(33). Let l = f + 299. Does 19 divide l? False Let d(n) = n**3 + 101*n**2 - 151*n - 478. Does 79 divide d(-101)? True Let l = 320 + -140. Suppose -4*r = -9*r + l. Does 39 divide (39/9 + 0)*r? True Suppose 5*v = 3*j - 27286, 5*j + 0*j - 4*v - 45481 = 0. Is 238 a factor of j? False Let v(f) = 2*f**3 - 26*f**2 - 49*f - 70. Is v(24) a multiple of 4? False Suppose -191*b + 414411 - 832161 = -3213226. Is b a multiple of 201? False Let g = 3009 + -239. Is (-4)/14 + g/(-35)*-2 a multiple of 23? False Let k = 85 + -90. Let i(d) = 11*d**2 - 3*d + 18. Let v be i(k). Let x = -180 + v. Does 32 divide x? True Let v be (-1 + (2 - 1))*(-205)/(-410). Suppose 5*z - 2*i - 1550 = v, -2*z - 322 = -3*z - 2*i. Is z a multiple of 24? True Suppose 11 + 54 = 5*c. Let j(w) = 2*w**2 - 25*w - 8. Let s be j(c). Suppose -3*d - s*d + 320 = 0. Does 37 divide d? False Suppose -5*i = -93 - 62. Suppose 0*f = 5*w + f + 28, -2*f = 5*w + i. Let c(b) = -21*b - 16. Is c(w) a multiple of 21? False Let u(p) = -13*p - 21. Let x(j) = -4*j + 1. Let h(f) = 3*u(f) + 15*x(f). Does 42 divide h(-6)? True Let v be 162 + (4 - 2) - (-6 + 2). Suppose -y - 13*z + 18*z = -v, -5*y + 5*z + 880 = 0. Is 9 a factor of y? False Let h be ((-3)/6 - -1)*110. Let x be 17/5 - 22/h. Suppose 0 = 5*b - 0*z + x*z - 815, -b + z + 171 = 0. Is b a multiple of 23? False Let l(v) = v**2 - 61*v + 1260. Does 4 divide l(33)? True Let w be (-12)/18 + 195/9. Let f = 47 - w. Suppose h - f = -2*o, 4*o - 68 = -5*h + 92. Does 9 divide h? True Let c = -11933 - -18778. Suppose 0 = -5*p - 5*b + c, -5*p - 3*b = -2*b - 6841. Is p/14 - ((-222)/42 + 5) a multiple of 49? True Suppose -5*o + 313 = -182. Let n(k) = -101*k - 40*k**3 - 14*k**3 - 3 + o*k. Is 26 a factor of n(-1)? False Let y(w) = 273*w - 173*w - 32 - 140*w. Does 33 divide y(-10)? False Suppose 0 = k + h - 77, k + 164 = 3*k - 3*h. Suppose -7*s + 4*s + 3*r + 225 = 0, 3*s + 3*r - 201 = 0. Suppose -5*v + s + k = 0. Does 10 divide v? True Let z(k) = 196 + k**2 - 3*k - 11*k - 221. Let m = 9 - -7. Does 7 divide z(m)? True Let x = -415 - -1767. Is 4 a factor of x? True Let y = -121 + 794. Is 2 a factor of y? False Let k(x) = -3*x + 36. Let z be k(9). Let i(n) = -5 + n**2 - 10*n - 6 + 1 - z. Is i(12) a multiple of 3? False Let v = -482 + 514. Suppose -180 = -4*j + 4*f, -v*j + 2*f = -34*j + 86. Does 2 divide j? True Suppose 0 = -5*b + q + 2424 + 2869, 0 = b - 5*q - 1049. Does 20 divide b? False Let a be -2 + -3 + 12 - -3. Suppose -2*m = -a*m + 2680. Does 5 divide m? True Let j(q) = -58*q - 56. Suppose -5*f - 25 - 15 = 0. Let u be j(f). Suppose -x = x - u. Is x a multiple of 51? True Let c = 45 + -42. Suppose 2*a = c*z - 90, 3*z - 28 = -4*a + 62. Is 2235/z + 6/4 a multiple of 26? False Suppose r = 5*y + 3728, -3*r + 11254 = -51*y + 50*y. Does 12 divide r? False Suppose 24*n - 4779 = -12291. Let h = n + 951. Does 22 divide h? True Let p be 18/4*1/(2/(-36)). Let z = p - -141. Suppose -2*s + 4*s + 6 = 0, -4*s - z = -3*h. Is h a multiple of 2? True Suppose 17464 = -5561*x + 5544*x + 209020. Is 7 a factor of x? False Suppose 3*y - 8712 = -6*n, 3*n = -y - n + 2896. Suppose 6*z - 4*z = 3*d + y, 0 = 4*d. Does 56 divide z? True Suppose 72*z = 458695 + 163961. Is z a multiple of 8? True Let v(y) = -y**3 + 40*y**2 - 42*y + 465. Does 13 divide v(33)? False Is ((-28)/8 + -2)/((-101715)/14530 + 7) a multiple of 92? False Let q(d) = 26*d + 124. Let u be q(-15). Let v = u - -401. Does 3 divide v? True Suppose 0 = 2*i + 8*i. Suppose i = 3*s - 7*s - 60. Let v = s + 21. Is 6 a factor of v? True Let z = 0 - -2. Suppose 3*o + 3*n - 717 = -2*o, 274 = z*o - 2*n. Does 47 divide o? True Let h(b) = 4*b**2 - 8*b - 107. Let y(z) = 5*z**2 - 9*z - 107. Let k(n) = 3*h(n) - 2*y(n). Is k(22) a multiple of 32? False Let s = 717 + -423. Let i = s - 214. Is 8 a factor of i? True Suppose 32*m = 35*m + 270. Let w be (-270)/4 - (m/4)/15. Is 21 a factor of 98/(-4)*w/11? True Let d(r) = 90*r**2 - 35*r + 97. Is 15 a factor of d(3)? False Let h(c) = -c**3 + 10*c**2 - 3*c - 9. Let d = 92 - 48. Let m = -37 + d. Is h(m) a multiple of 9? True Let x be -3*15/(-54) - 3/(-18). Is 10 a factor of (((-54)/21)/x)/(14/(-882))? False Suppose -6*f + 22046 = 5*j - 7*f, 2*f = -3*j + 13225. Is 26 a factor of j? False Suppose 2*o = 35 - 299. Suppose -3*n + 2*n = 217. Let z = o - n. Is 17 a factor of z? True Let l(y) = -y**3 - 9*y**2 - 8*y + 2. Let n be 3/(-2)*1*(-176)/(-33). Let v be l(n). Does 18 divide 546/8*v - (-3)/(-2)? False Suppose 21*x + 831 - 4380 = 0. Let y = x - -151. Is 12 a factor of y? False Let a = -812 + 65. Let w = -187 - a. Suppose 11*y - 7*y = 4*h - 432, 5*y - w = -5*h. Does 22 divide h? True Let n = -739 - -235. Let k = n - -854. Does 70 divide k? True Suppose 0*d - 3*d = -3*c + 12, -3*d - c = -4. Suppose d = -k + 2*m + 23, k = 2*k - 5*m - 26. Let o = k + 3. Does 6 divide o? True Let l(c) = -990*c - 1137. Does 47 divide l(-3)? True Let q be (3/(-30)*4)/(1/(-1380)). Suppose -18*v = -q - 960. Is 12 a factor of v? True Suppose 18 = 4*y + 2*r, 2*y + 0*r + 4*r = 6. Let o be 192/30 - (-3)/y. Suppose 0 = 6*b - o*b + 48. Is 28 a factor of b? False Suppose 2 = b - x, -5 = 4*b + 4*x + 3. Suppose 0 = -4*a - i - 105 + 357, -63 = -a - 4*i. Suppose -r + a = -b*r. Is r a multiple of 13? False Suppose -6 = 2*f, -3*f + 0*f - 5928 = -p. Is p a multiple of 7? False Suppose 4*o + 4 = m - 14, 3*o = 4*m - 33. Let z = m + 22. Let x = z + 116. Is x a multiple of 24? True Suppose 20 = -2*v + 30. Let f = 11 - v. Let m(h) = -h**3 + 9*h**2 - 14*h + 4. Is m(f) a multiple of 14? True Let c(k) be the first derivative of 1/4*k**4 + 16*k - 25/2*k**2 + 10 + 19/3*k**3. Does 29 divide c(-20)? True Suppose 5094 = 48*g - 1626. Is g even? True Suppose -4*z + 4*s = 8, -4*z - 18 = 2*s - 4*s. Does 7 divide (645/6)/((-6)/(84/z))? False Let f(u) = u**3 - 6*u**2 - 9*u - 2. Let x be f(7). Let c = 121 + x. Is 5 a factor of c? True Let v(a) = -295 + 399 - a + 0*a. Let u be v(25). Let o = u + -29. Is o a multiple of 5? True Let q(u) be the first derivative of u**3/3 - 5*u**2 - 16*u - 28. Let f be q(8). Let n = f + 72. Is 13 a factor of n? False Suppose -6*p + 11*p = -5, 4*l - 2*p = 12854. Is l a multiple of 3? True Suppose -4*y - 99*b + 94*b = -61, -2*y + 23 = 5*b. Let n(k) = -k - 1. Let r be n(-5). Is (r - y)*(-24)/5 a multiple of 18? True Suppose 2 - 4 = 2*g + 2*t, -3*g + 7 = t. Suppose 0 = -g*o + 400 + 160. Is o a multiple of 20? True Suppose 165*w - 387052 - 605895 = 42593. Is w a multiple of 43? False Let j(w) = -2*w - 12. Let x be j(-10). Suppose 5*f = 0, 3*f - f - x = -4*p. Is 26 a factor of (p - 0)*(-2 - (-54 - 0))? True Let z be (-28)/(-42) + -1 + 208/(-6). Let u be (-1)/7 - 285/z. Suppose u*w = 357 + 347. Is w a multiple of 11? True Suppose -t + 425 = -2*l, 2*l + 2141 = 16*t - 11*t. Is t a multiple of 8? False Suppose 107115 = 37*s - 17*s - 28605. Is 96 a factor of s? False Let c(s) = 112*s**2 - 101*s - 619. Does 8 divide c(-7)? True Suppose 0 = -4*p + 2*m + 18 + 6, 5*p = m + 24. Let c be (0/p)/(-1 - (-2)/(-2)). Suppose -2*h - 10 = c, -5*a = -h + 2*h - 225. Is a a multiple of 23? True Is 194 a factor of 550/(-14 - -24)*582/5? True Does 312 divide -8 - 1 - ((-1269 - 3) + 30/2)? True Suppose -9*z + 5*z = 4*q - 17740, q - 2 = 0. Is 11 a factor of z? True Suppose 5*w + 8*k - 5*k - 2447 = 0, -3*w + 1453 = -2*k. Is 3 a factor of w? False Suppose -205*n + 97*n + 21537
{ "pile_set_name": "DM Mathematics" }
80 = 1767*k. Calculate the remainder when h is divided by x(-5). 13 Suppose -62*i = -68*i + 84. Suppose m - 5*m = 4*n - 360, n - 4 = 0. Calculate the remainder when m is divided by i. 2 Suppose 92 = -511*n + 534*n. Let i(j) = -7*j - 13. What is the remainder when i(-6) is divided by n? 1 Let l be (-44)/(-2) - (4 + -2 + 3). Suppose 5*y - 14 = -m + l, 0 = 3*m - y - 45. Calculate the remainder when 29 is divided by m. 13 Let i(t) = -106*t**3 - 2*t**2 + 6*t + 8. Calculate the remainder when 343 is divided by i(-1). 25 Suppose 2*v = 3*a + 25, 0*a + a = 4*v - 55. Suppose -v*w + 288 = 78. Calculate the remainder when 253 is divided by w. 13 Let n be (-684)/24*14/3. What is the remainder when (-6)/(n/(-154) - 1) is divided by 20? 4 Let a(o) = 16*o**2 + 83*o + 40. Let s be a(-9). Let n = -218 + 619. Let j = s - n. Calculate the remainder when j is divided by 32. 28 Let g(h) = 11546*h**2 + 31*h - 32. Calculate the remainder when g(1) is divided by 23. 22 Suppose 1951*f - 1954*f = 5*h - 2131, 3*h + 3*f = 1287. Calculate the remainder when h is divided by 233. 189 Let x = -22448 - -22645. Calculate the remainder when x is divided by 2/(2 + 65/(-33)). 65 Let z = 553 - 287. Let d = -174 + z. Calculate the remainder when d is divided by 28. 8 What is the remainder when 29239 is divided by (-28)/(-20) + -1 + 14442/870? 16 Let o(t) = 74*t**2 - 4*t + 4. Suppose 7*h + 4 = 18. Let n be 12/14 + (-3)/(h + -23). Calculate the remainder when o(n) is divided by 38. 36 Let d = 349 - 269. Suppose -25 = -s - 11. What is the remainder when d is divided by s? 10 Let y = -34 - -36. Suppose y*p + 1644 = -16. What is the remainder when (-4)/6 - p/30 is divided by 14? 13 Suppose -3*u = -3*p + 2265, -3*p - 237*u + 2289 = -236*u. Calculate the remainder when 3046 is divided by p. 2 Let y(d) = 29*d**2 - 115*d + 1. Let u be y(4). Suppose w - j = -w + 13, -5*w + 25 = u*j. Calculate the remainder when 7 is divided by w. 1 Suppose 2*g + 0*l - 4*l = 1004, -5*g = 3*l - 2445. Suppose g = -38*h + 42*h. Calculate the remainder when h is divided by 14. 11 Suppose 451 - 461 = -5*d. What is the remainder when 2*d + 978/18*3 is divided by 28? 27 Let p = -308 + 736. Let x = p - 406. Calculate the remainder when x is divided by 7. 1 Suppose -63*i + 152*i = -41399 + 229901. What is the remainder when i is divided by 53? 51 Suppose -4*u - 16 = 0, u + 4 = -15*q + 11*q. Calculate the remainder when q + -1 + 15/(90/348) is divided by 26. 5 Let o = 10912 - 9138. Calculate the remainder when o is divided by 581. 31 Suppose -469 = -35*f + 21. Calculate the remainder when 2028 is divided by f. 12 Suppose 1869 = -1517*h + 1538*h. Calculate the remainder when h is divided by 14. 5 Let k(g) = 14*g**3 - 7*g**2 + 159*g - 21. Let w(d) = 5*d**3 - 2*d**2 + 53*d - 7. Let q(y) = -6*k(y) + 17*w(y). What is the remainder when q(5) is divided by 21? 4 Suppose -39*c + 10460 = -9958 + 3531. Calculate the remainder when 1316 is divided by c. 17 Suppose -2*n - 236 = 2*z, -3*z + z + 121 = -n. Let l = 149 + n. What is the remainder when ((-58)/(-5))/((-2)/(-10)) is divided by l? 28 Let r = 7950 + -7613. What is the remainder when r is divided by 79? 21 Suppose -3*b - 2*t = -65, 5*b + 4*t = t + 110. Let g be 9/(-3) - (-58)/2. Suppose g = 6*s - 10. What is the remainder when b is divided by s? 1 Calculate the remainder when 3 + (-15 - -6) + (-11 - -201) is divided by 84. 16 Suppose 85*j - 29617 = -188*j - 7777. Calculate the remainder when 19598 is divided by j. 78 Let l(j) = j**3 - 3*j**2 - 10*j + 33. Suppose -i = -3*h + 12, 42*i - 9 = 39*i. What is the remainder when 99 is divided by l(h)? 0 Let i = -37 + 50. Let x(k) = 9*k + k + 4*k + k**2 + 73 - i*k. Calculate the remainder when x(0) is divided by 15. 13 Suppose 5*m - 1073 = 2*l - 0*l, 15 = 2*l + 23. Suppose 4*c - 188 = -16. Calculate the remainder when m is divided by c. 41 Let o = -22265 - -22478. What is the remainder when 1032 is divided by o? 180 Suppose 5*s - 927 = 738. Suppose 6*q = 141 + s. Let y(f) = -f**3 + 6*f**2 + 5*f - 3. What is the remainder when q is divided by y(6)? 25 Suppose k - 5*j + 68 = 0, 0 = 4*k - 8*k + 5*j - 272. Let l = k + 82. Calculate the remainder when 90 is divided by l. 6 Suppose -3*r - 24 = 0, -3*f + 1190 - 454 = 4*r. Calculate the remainder when 605 is divided by f. 93 Let r = 325 + -315. Suppose 0 = -0*a + r*a - 110. What is the remainder when 29 is divided by a? 7 Let l(z) = 97*z - 9396. Let k(g) = g**2 - 2*g - 1. Calculate the remainder when l(97) is divided by k(-1). 1 Let l(w) = 10*w**2 + 14*w - 43. Let s(g) = 2*g - 2. Let y(u) = l(u) + s(u). What is the remainder when y(3) is divided by 19? 17 Let r = -40812 - -40945. What is the remainder when 905 is divided by r? 107 Suppose -g = -3*s - 59, 0*s - 4*g = -3*s - 56. What is the remainder when 81 is divided by (s/35)/(((-24)/(-308))/(-3))? 15 Let m(p) = 75*p. Let y be m(-1). Suppose -2*z - 4*x = 98, 0 = -x - 0 - 2. Let k = z - y. What is the remainder when k is divided by 16? 14 Let s(k) = k + 10. Let w be s(-6). Let d(i) = i**3 + 5*i**2 + 10. What is the remainder when d(0) is divided by (6 - (w + 0))*2? 2 Let t(v) = -12*v**2 + 436*v - 71. Calculate the remainder when t(35) is divided by 75. 39 Let s be 14 - (12/15 - (-1)/5). Suppose 5*q + 8 = s. Calculate the remainder when 93 - 0*(0 - q) is divided by 48. 45 Let g(o) = o**3 + 3*o**2 - 61*o + 142. What is the remainder when 595 is divided by g(6)? 95 Suppose 125*d - 33371 = -26*d. What is the remainder when d is divided by 6? 5 Let t(v) = -78*v**2 + 420*v - 4. Calculate the remainder when t(2) is divided by 7. 6 Let i(p) be the second derivative of p**4/12 + 5*p**3/2 - 2*p**2 + p + 33. Calculate the remainder when 267 is divided by i(-17). 27 Suppose -2*b + b = -4*r - 75, 57 = -19*r. Suppose 0 = g - k - 0*k + 17, 3*k = -2*g - 39. What is the remainder when (g/7*1)/((-3)/b) is divided by 11? 10 Let k = -8061 - -8068. What is the remainder when 5618 is divided by k? 4 Suppose -246*n = -33291 - 61419. What is the remainder when n is divided by 14? 7 Let f be (-464)/(-6) - 54/(-81). Let a = 165 - f. Calculate the remainder when a is divided by 18. 15 Suppose -21*p = 1315 - 3331. Suppose -3*x = 0, -4*k + 3*x + 2 + 78 = 0. What is the remainder when p is divided by k? 16 Let w(b) = -8*b - 16. Let k be w(-7). Let h = 68 - 63. Let o = h + k. Calculate the remainder when o is divided by 24. 21 Suppose 33*u - 25*u - 120 = 0. Suppose 2217 = u*k - 3. What is the remainder when k is divided by 75? 73 Let h be (-2)/14 + (-74280)/(-168). Suppose -h = -57*k + 23*k. What is the remainder when 168 is divided by k? 12 Suppose -10*i + 32 + 92 = 24. Suppose 6*k - k - 375 = 0. Calculate the remainder when k is divided by i. 5 Let k(c) = -3*c + 4*c + 13 - 10 + 18. What is the remainder when k(-7) is divided by ((-3)/(-2))/((-6)/(-40))? 4 Let d = -96 + 233. Let h(r) = r**3 - 11*r**2 + 9*r + 20. Let b be h(10). What is the remainder when d is divided by (-28)/(-35) + 342/b? 32 Suppose 54*n = 60*n - 1878. Let p = n + -288. What is the remainder when 60 is divided by p? 10 Suppose 24493 = 302*o + 12799 - 46894. Calculate the remainder when o is divided by 14. 12 Let v = -110 - -113. Suppose -66 = 5*w - 7*w. Calculate the remainder when w is divided by 1*7 - 3*(-2)/v. 6 Suppose -5*z = -8*g - 488, -21*g = -z - 16*g + 118. Calculate the remainder when 364 is divided by z. 12 Calculate the remainder when 448/(-196)*-7 - -183 is divided by (-118)/(-3) - 4/(-6). 39 Let k(q) = -165*q - 1. Let l = -174736 - -174751. What is the remainder when k(-1) is divided by l? 14 Let k(i) = 2*i**3 - 6*i**2 - 12*i + 2. Let d = -112 - -118. What is the remainder when k(d) is divided by 74? 72 Let r = -9530 + 9537. Let j be (-19)/3 - 2/3. Calculate the remainder when -2 + 10*j/(-2) is divided by r. 5 Let d(h) = -32*h - 64*h + 3*h - 2 - 18*h. What is the remainder when d(-1) is divided by 22? 21 Let n(j) = -j**3 - 2*j - 2. What is the remainder when n(-3) is divided by 3440/115 + 16/184 - 2? 3 Suppose 12*k = 8*k + 2*l + 1436, -5*k + 1788 = l. Calculate the remainder when k is divided by 20. 18 Let o(d) = -12*d + 2. Let v be o(-1). Let y = v + -12. Suppose 3*z = c + 17, 0*z = y*z - c - 11. What is the remainder when 20 is divided by z? 2 Calculate the remainder when 527 is div
{ "pile_set_name": "DM Mathematics" }
ive of 6*m + 0*m**r - 1/35*m**5 - 4/147*m**7 + 0*m**4 + 0 + 0*m**2 + 2/35*m**6. Factor k(c). -4*c**3*(c - 1)*(2*c - 1)/7 Let j = -28 - -42. Let x = -11 + j. Find z such that 0 + 6/7*z - 27/7*z**2 + x*z**3 = 0. 0, 2/7, 1 Let z(c) be the second derivative of c**6/120 - c**5/20 + 2*c**3/3 - 2*c**2 - 26*c. Solve z(n) = 0 for n. -2, 2 Let p(q) = 7*q**2 + 1238*q + 78127. Let g(h) = 8*h**2 + 1232*h + 78128. Let a(s) = 2*g(s) - 3*p(s). Factor a(o). -5*(o + 125)**2 Suppose -18 - 12 = -3*q. Suppose f = q*f. Suppose -2*m**5 + 22/3*m**2 + 26/3*m**4 - 4/3*m + f - 38/3*m**3 = 0. Calculate m. 0, 1/3, 1, 2 Let q(o) be the second derivative of o**5/100 - 2*o**4/15 - 2*o**3/15 + 16*o**2/5 - 6*o - 5. Factor q(n). (n - 8)*(n - 2)*(n + 2)/5 Suppose -11*x - 394 + 438 = 0. Let h(z) be the first derivative of 4/3*z**3 - 1/3*z**6 - 2*z**4 - 8/5*z**5 + 8 + 5*z**2 + x*z. Suppose h(c) = 0. What is c? -2, -1, 1 Let r(q) = -8*q**2 - 6*q - 8. Let m(v) = 12*v**2 + 8*v + 12. Let o(n) = 5*m(n) + 8*r(n). Suppose o(b) = 0. Calculate b. -1 Let g(h) be the first derivative of 2*h**5/35 + h**4/7 - 2*h**3/3 + 4*h**2/7 + 728. Suppose g(z) = 0. What is z? -4, 0, 1 Suppose 110/7*v + 38/7*v**2 + 2/7*v**3 - 726/7 = 0. Calculate v. -11, 3 Let b(k) be the second derivative of 0 - 1/30*k**3 + 1/5*k**2 + 5*k - 1/60*k**4. Let b(c) = 0. Calculate c. -2, 1 Let h(x) be the first derivative of -14 + 2/27*x**3 + 0*x - 1/9*x**2. Determine q, given that h(q) = 0. 0, 1 Suppose 0 = -2*w + 4*d - 12, -5*w + 7 = -2*d + 5. Factor 7/3*z**2 + 1/3*z**5 + 0 - z**4 - z**3 + w*z. z*(z - 3)*(z - 2)*(z + 1)**2/3 Let p = -3457/2 - -644730/373. Let m = 11945/6714 + p. Suppose 2/9 - 16/9*c - 32/9*c**4 + 10/3*c**2 + m*c**3 = 0. Calculate c. -1, 1/4, 1 Factor 57*a**2 - 60229*a + 3*a**3 - 227 + 60586*a + 962. 3*(a + 5)*(a + 7)**2 Determine a so that -3*a**5 - 3*a**3 - 4*a**2 + 2*a**4 - 155 + 7*a**3 - 2*a + a**5 + 157 = 0. -1, 1 Factor -1/3*h**2 - 5292 - 84*h. -(h + 126)**2/3 Let b(x) = 10*x**2 + 5*x - 25. Let a be (0 - (-1 + -6)) + -4. Let w(i) = 5*i**2 + 2*i - 13. Let z(v) = a*b(v) - 5*w(v). What is c in z(c) = 0? -2, 1 Suppose -4*a + 10*a = -582. Let j = a + 100. Find x such that 0 + 12*x**2 - 9/2*x - 8*x**j = 0. 0, 3/4 Let p = -103754 + 318530/3. Let u = p + -2391. Factor u*s**2 - 64/3*s - 25/3*s**3 + 4. -(s - 3)*(5*s - 2)**2/3 Let z(v) be the first derivative of 2/21*v**3 - 9 - 2/35*v**5 + 0*v**4 + 0*v + 0*v**2. Suppose z(w) = 0. What is w? -1, 0, 1 Let t(n) be the second derivative of n**6/90 - n**5/60 - n**4/12 + 5*n**3/18 - n**2/3 - 116*n. Factor t(i). (i - 1)**3*(i + 2)/3 Let m(g) be the first derivative of g**6/1980 - g**5/110 + 3*g**4/44 - 16*g**3/3 - 18. Let n(p) be the third derivative of m(p). Factor n(f). 2*(f - 3)**2/11 Suppose 7*o - 3*o = -4*u - 112, 0 = -4*o - 5*u - 116. Let y be 16/(-90) + (o/20)/(-3). Solve 8/9*i + 16/9*i**2 + 0 + y*i**4 + 10/9*i**3 = 0. -2, -1, 0 Let j be (-5)/(-25) - 24/(-5). Suppose 33 = 4*i - 4*s + 1, i - j*s - 20 = 0. Factor 156*r**2 - 156*r**2 - r - 4*r**3 + i*r. -4*r*(r - 1)*(r + 1) Let r = -2391 - -2395. Let k(v) be the second derivative of -14*v + 5/48*v**r + 0*v**2 - 1/80*v**5 + 0 - 1/6*v**3. Factor k(o). -o*(o - 4)*(o - 1)/4 Let v(i) = -6*i + 2. Let o be v(-2). Let d be (-8*o/(-4))/2. Factor 3*n + 8*n**3 + 2 - 2*n - d*n**2 + 3*n. 2*(n - 1)**2*(4*n + 1) Suppose -22*q + 15*q = -14. Let b be (2/6)/(3/27). Let 4*s**2 - b*s + 2*s**q - 3*s**2 + 9*s = 0. What is s? -2, 0 Let v(w) be the first derivative of 0*w + 9 + 0*w**2 - 1/20*w**4 - 2/15*w**3. Factor v(b). -b**2*(b + 2)/5 Let z be ((-54)/(-30))/((-3)/(-10)). Suppose -3*b = -z*b + 9. Determine m so that b*m**2 + 2*m - 4 + m - 2 = 0. -2, 1 Let 821*d**2 - 4*d + 4 - 1 - 1 - 819*d**2 = 0. What is d? 1 Let k be (2/(-11) + 570/110)/1. Suppose 12 = -3*z + 4*z + 4*x, 15 = z + k*x. What is n in 2/5*n**5 + z + 0*n**4 + 0*n - 6/5*n**3 + 4/5*n**2 = 0? -2, 0, 1 Let h(c) be the third derivative of c**9/12096 - c**8/2688 - c**7/672 + c**4/12 + c**3/2 - 4*c**2 + 1. Let x(n) be the second derivative of h(n). Factor x(q). 5*q**2*(q - 3)*(q + 1)/4 Let a be (-11 + 4)/7*(-12 + 12). Factor 1/6*y**4 + 4/3*y**2 + a + 8/3*y - 7/6*y**3. y*(y - 4)**2*(y + 1)/6 Let d be (-15430)/(-165) + 12/176 + 3/(-12). Determine k, given that d*k + 55/3*k**4 + 5/3*k**5 + 215/3*k**3 + 80/3 + 365/3*k**2 = 0. -4, -1 Factor -165*g - 3/4*g**2 - 9075. -3*(g + 110)**2/4 Suppose -4*h + 0 = -4, -s - 2*h + 6 = 0. Let c = -747 + 847. Determine a, given that -440*a**2 + 7 + 208*a - c*a**5 + 284*a**3 - 18 + 80*a**s - 21 = 0. -2, 2/5, 1 Let k be (-5 - 3385/(-675))*(-3)/(-4). Let p(a) be the second derivative of 1/36*a**4 + 0*a**2 + 12*a + 0*a**3 + 1/30*a**5 + 0 + k*a**6. Solve p(d) = 0. -1, 0 Let d(x) be the first derivative of x**8/840 + x**7/175 - 2*x**5/75 + 4*x**2 + 9. Let h(o) be the second derivative of d(o). Factor h(t). 2*t**2*(t - 1)*(t + 2)**2/5 Suppose -2*v + 4*i = 16, i - 5 = -2*v + 4. Determine k, given that 2*k + k + k**2 - 2*k**2 - v*k = 0. 0, 1 Let l(p) be the second derivative of -p**7/70 - p**6/40 + 7*p**2 - 14*p. Let a(i) be the first derivative of l(i). Factor a(x). -3*x**3*(x + 1) Let h = 40 - 43. Let v be ((-52)/(-234))/((-8)/90*h). Solve 1/3*p**2 - 5/6*p**3 - 1/3 + v*p = 0 for p. -1, 2/5, 1 Let u = -566 - -571. Let s(g) be the third derivative of 0 - 3/20*g**6 - 1/8*g**4 + 0*g + 0*g**3 - 1/112*g**8 + 3*g**2 + 2/35*g**7 + 1/5*g**u. Factor s(y). -3*y*(y - 1)**4 Let m(s) be the third derivative of s**8/840 - 4*s**7/105 + 59*s**6/150 - 6*s**5/5 + 27*s**4/20 - 22*s**2. Determine v, given that m(v) = 0. 0, 1, 9 Let h(k) be the third derivative of k**6/660 + 23*k**5/165 - 95*k**4/132 + 16*k**3/11 + 145*k**2. Factor h(r). 2*(r - 1)**2*(r + 48)/11 Let j(z) = 7*z - 8 - 12*z**3 + 25*z**3 - 12*z**3 + 8*z**2 + 0*z. Let o be j(-6). Factor -o + y**2 + 22 - y. y*(y - 1) Let o be 167/6 + (-4)/(-24). Let m be (4/o)/((-3)/(-12)). Determine i so that -m*i**2 - 12/7 + 16/7*i = 0. 1, 3 Let p = -1459 - -1461. Solve 6/7*s + 0*s**p - 4/7 - 2/7*s**3 = 0 for s. -2, 1 Let m be 16/(-208) + 80/26. Let s(j) be the first derivative of -17/4*j**m + 7 + 11/4*j**4 - j + 3*j**2 - 3/5*j**5. Determine g, given that s(g) = 0. 1/2, 2/3, 2 Suppose l - 2 + 6 = 0, 0 = z + l + 2. What is b in 0 + 3/2*b**4 - b - 3/2*b**z + 1/2*b**5 + 1/2*b**3 = 0? -2, -1, 0, 1 Let q(x) be the third derivative of -x**5/120 + 5*x**4/16 + 411*x**2. Find d, given that q(d) = 0. 0, 15 Solve -14*l**2 + 46 + 18*l**2 - 20 - 60*l + 19 + 11 = 0 for l. 1, 14 Let s = -7215/14 + 1031/2. Factor s*q**2 - 16/7*q + 64/7. (q - 8)**2/7 Let w(c) be the first derivative of c**4/4 + 20*c**3/3 + 388. Suppose w(i) = 0. What is i? -20, 0 What is u in 4/7*u**4 - 136/7*u**3 + 36*u**2 + 136/7*u - 256/7 = 0? -1, 1, 2, 32 Let m(c) be the first derivative of 7*c**4/10 - 776*c**3/15 + 5264*c**2/5 + 6272*c/5 - 799. What is k in m(k) = 0? -4/7, 28 Determine p so that -4/5*p**5 - 20*p**3 - 36/5*p + 34/5*p**4 + 0 + 114/5*p**2 = 0. 0, 1/2, 2, 3 Let r(p) be the second derivative of -p**4/3 - 52*p**3/3 - 338*p**2 + 175*p. What is f in r(f) = 0? -13 Let r(s) be the first derivative of 4*s**3/15 + 212*s**2/5 + 11236*s/5 + 4. Factor r(g). 4*(g + 53)**2/5 Let j be -3 - ((-3)/2 - 0) - -2. Suppose 0*w**4 - j*w**5 - 6*w + 7/2*w**3 - 4 + w**2 = 0. What is w? -2, -1, 2 Let s be (1 - -4)/(-1) + 9. Let r(v) be the second derivative of -1/100*v**5 + 1/60*v**s + 4*v + 0*v**3 + 0*v**2 + 0. Solve r(g) = 0 for g. 0, 1 Determine y, given that -3*y**3 - 34 - 2927*y**2 + 2 - 32*y + 2949*y**2 = 0. -2/3, 4 Factor 189 - 10*g**2 - 8*g**2 - 555 + 45*g**2 - 1275*g - 6*g**2. 3*(g - 61)*(7*g + 2) Find h such that -2/3*h**4 + 22*h**2 + 0 - 34/3*h - 10*h**3 = 0. -17, 0, 1 Let w(n) be the first derivative of -n**4/2 - 8*n**3/3 - n**2 + 12*n + 59. Factor w(g). -2*(g - 1)*(g + 2)*(g + 3) Suppose -4 - 26 = 2*f. Let d = f - -18. Find o such that 0*o**3 - 24*o + 0*o**3 - d*o**4 + 12 + 9*o**2 + 6*o**3 = 0. -2, 1, 2 Let w(f) be the first derivative of 11/4*f**2 - 3/2*f + 13 - 3/8*f**4 - 5/6*f**3. Factor w(r). -(r - 1)*(r + 3)*(3*r - 1)/2 Let w be (-142)/(-126) - (936/(-126) - -7). Let 2/9*r**5 - 2/9*r**3 + 0*r - 2/3*r**4 - 8/9 + w*r**2 = 0. What is r? -1, 1, 2 Factor 8/3*d**2 + 0 + 2*d - 8/9*d**4 - 4/9*d**3 + 2/9*d**5. 2*d*(d - 3)**2*(d + 1)**2/9 Let h(k) = -3*k**4 - k**4 + 6*k**2 - 6*k -
{ "pile_set_name": "DM Mathematics" }
, 3, 67 What are the prime factors of 26683? 26683 List the prime factors of 59202. 2, 3, 11, 13, 23 What are the prime factors of 45569? 45569 What are the prime factors of 14328? 2, 3, 199 List the prime factors of 869. 11, 79 List the prime factors of 25105. 5, 5021 List the prime factors of 1143. 3, 127 What are the prime factors of 321? 3, 107 List the prime factors of 1232. 2, 7, 11 List the prime factors of 26348. 2, 7, 941 List the prime factors of 9544. 2, 1193 What are the prime factors of 2224? 2, 139 List the prime factors of 712. 2, 89 List the prime factors of 12559. 19, 661 List the prime factors of 36446. 2, 18223 List the prime factors of 5987. 5987 List the prime factors of 8586. 2, 3, 53 What are the prime factors of 9254? 2, 7, 661 List the prime factors of 137848. 2, 17231 List the prime factors of 2168. 2, 271 What are the prime factors of 121262? 2, 60631 List the prime factors of 5621. 7, 11, 73 What are the prime factors of 16086? 2, 3, 7, 383 List the prime factors of 19045. 5, 13, 293 What are the prime factors of 39414? 2, 3, 6569 List the prime factors of 9493. 11, 863 List the prime factors of 2150. 2, 5, 43 What are the prime factors of 8887? 8887 What are the prime factors of 140? 2, 5, 7 List the prime factors of 835. 5, 167 What are the prime factors of 8277? 3, 31, 89 What are the prime factors of 979? 11, 89 What are the prime factors of 39756? 2, 3, 3313 What are the prime factors of 1829? 31, 59 What are the prime factors of 1858? 2, 929 List the prime factors of 45359. 67, 677 What are the prime factors of 107487? 3, 1327 What are the prime factors of 987? 3, 7, 47 List the prime factors of 47729. 11, 4339 List the prime factors of 12308. 2, 17, 181 List the prime factors of 1737. 3, 193 What are the prime factors of 13574? 2, 11, 617 List the prime factors of 12980. 2, 5, 11, 59 List the prime factors of 42440. 2, 5, 1061 List the prime factors of 12941. 12941 List the prime factors of 5430. 2, 3, 5, 181 List the prime factors of 2375. 5, 19 List the prime factors of 19638. 2, 3, 1091 List the prime factors of 991. 991 What are the prime factors of 4391? 4391 List the prime factors of 1421. 7, 29 What are the prime factors of 943? 23, 41 List the prime factors of 37574. 2, 18787 List the prime factors of 2083. 2083 What are the prime factors of 230? 2, 5, 23 What are the prime factors of 1839? 3, 613 What are the prime factors of 4004? 2, 7, 11, 13 What are the prime factors of 3497? 13, 269 What are the prime factors of 8168? 2, 1021 What are the prime factors of 5046? 2, 3, 29 What are the prime factors of 14582? 2, 23, 317 List the prime factors of 8660. 2, 5, 433 What are the prime factors of 6273? 3, 17, 41 What are the prime factors of 108? 2, 3 What are the prime factors of 5833? 19, 307 What are the prime factors of 1030? 2, 5, 103 What are the prime factors of 79240? 2, 5, 7, 283 What are the prime factors of 457? 457 What are the prime factors of 28159? 29, 971 What are the prime factors of 4375? 5, 7 List the prime factors of 23422. 2, 7, 239 What are the prime factors of 14555? 5, 41, 71 What are the prime factors of 4085? 5, 19, 43 List the prime factors of 10012. 2, 2503 What are the prime factors of 367? 367 What are the prime factors of 1029? 3, 7 List the prime factors of 1136. 2, 71 List the prime factors of 1262. 2, 631 List the prime factors of 16833. 3, 31, 181 What are the prime factors of 394? 2, 197 What are the prime factors of 10260? 2, 3, 5, 19 What are the prime factors of 167979? 3, 7, 19, 421 What are the prime factors of 111094? 2, 55547 List the prime factors of 2648. 2, 331 What are the prime factors of 4203? 3, 467 What are the prime factors of 32681? 11, 2971 List the prime factors of 23365. 5, 4673 List the prime factors of 1602. 2, 3, 89 List the prime factors of 6468. 2, 3, 7, 11 What are the prime factors of 16096? 2, 503 What are the prime factors of 28292? 2, 11, 643 What are the prime factors of 28039? 11, 2549 List the prime factors of 406. 2, 7, 29 List the prime factors of 1980. 2, 3, 5, 11 What are the prime factors of 548? 2, 137 What are the prime factors of 549? 3, 61 What are the prime factors of 15355? 5, 37, 83 List the prime factors of 10786. 2, 5393 What are the prime factors of 811? 811 List the prime factors of 28271. 17, 1663 What are the prime factors of 699? 3, 233 List the prime factors of 464. 2, 29 List the prime factors of 208. 2, 13 What are the prime factors of 7267? 13, 43 List the prime factors of 3167. 3167 List the prime factors of 1697. 1697 What are the prime factors of 148663? 148663 What are the prime factors of 346? 2, 173 List the prime factors of 13104. 2, 3, 7, 13 List the prime factors of 8771. 7, 179 List the prime factors of 825. 3, 5, 11 What are the prime factors of 3415? 5, 683 What are the prime factors of 6373? 6373 List the prime factors of 48822. 2, 3, 79, 103 What are the prime factors of 3908? 2, 977 What are the prime factors of 91? 7, 13 List the prime factors of 46781. 7, 41, 163 What are the prime factors of 130? 2, 5, 13 List the prime factors of 13169. 13, 1013 What are the prime factors of 711? 3, 79 What are the prime factors of 7727? 7727 List the prime factors of 4766. 2, 2383 What are the prime factors of 96301? 23, 53, 79 List the prime factors of 13446. 2, 3, 83 List the prime factors of 358. 2, 179 What are the prime factors of 74? 2, 37 List the prime factors of 20923. 7, 61 What are the prime factors of 21531? 3, 7177 What are the prime factors of 6305? 5, 13, 97 List the prime factors of 9840. 2, 3, 5, 41 What are the prime factors of 7795? 5, 1559 What are the prime factors of 555? 3, 5, 37 What are the prime factors of 340? 2, 5, 17 List the prime factors of 4912. 2, 307 List the prime factors of 228. 2, 3, 19 List the prime factors of 544. 2, 17 What are the prime factors of 14857? 83, 179 List the prime factors of 1440. 2, 3, 5 List the prime factors of 21110. 2, 5, 2111 List the prime factors of 1725. 3, 5, 23 List the prime factors of 61532. 2, 15383 List the prime factors of 3356. 2, 839 List the prime factors of 126. 2, 3, 7 List the prime factors of 4830. 2, 3, 5, 7, 23 List the prime factors of 100. 2, 5 List the prime factors of 850. 2, 5, 17 List the prime factors of 2303. 7, 47 List the prime factors of 30285. 3, 5, 673 List the prime factors of 26227. 26227 What are the prime factors of 5334? 2, 3, 7, 127 What are the prime factors of 10563? 3, 7, 503 What are the prime factors of 541? 541 What are the prime factors of 12900? 2, 3, 5, 43 List the prime factors of 6601. 7, 23, 41 What are the prime factors of 16234? 2, 8117 List the prime factors of 2560. 2, 5 What are the prime factors of 7301? 7, 149 List the prime factors of 629. 17, 37 List the prime factors of 23209. 23209 List the prime factors of 3069. 3, 11, 31 List the prime factors of 15276. 2, 3, 19, 67 What are the prime factors of 10393? 19, 547 List the prime factors of 1057. 7, 151 What are the prime factors of 2358? 2, 3, 131 What are the prime factors of 5798? 2, 13, 223 List the prime factors of 9004. 2, 2251 What are the prime factors of 97849? 97849 What are the prime factors of 4184? 2, 523 What are the prime factors of 1977? 3, 659 List the prime factors of 36486. 2, 3, 2027 What are the prime factors of 83826? 2, 3, 4657 What are the prime factors of 54481? 7, 43, 181 List the prime factors of 3342. 2, 3, 557 What are the prime factors of 573? 3, 191 List the prime factors of 81305. 5, 7, 23, 101 What are the prime factors of 2060? 2, 5, 103 What are the prime factors of 2411? 2411 What are the prime factors of 1678? 2, 839 List the prime factors of 167550. 2, 3, 5, 1117 What are the prime factors of 514? 2, 257 List the prime factors of 37721. 67, 563 List the prime factors of 55026. 2, 3, 1019 List the prime factors of 4888. 2, 13, 47 List the prime factors of 10486. 2, 7, 107 List the prime factors of 7840. 2, 5, 7 List the prime factors of 11378. 2, 5689 List the prime factors of 65636. 2, 61, 269 What are the prime factors of 1311? 3, 19, 23 List the prime factors of 142909. 13, 10993 List the prime factors of 86866. 2, 13, 257 List the prime factors of 119927. 43, 2789 What are the prime factors of 713?
{ "pile_set_name": "DM Mathematics" }
s. -9 Let a(v) = -5*v - 47. Let f be a(-13). Suppose -19 = -f*s + 71. Solve -3*h - 4 - s = 0 for h. -3 Let d(p) = -2*p**2 - 111*p - 996. Let w be d(-34). Solve -44*z + 114 = w for z. -8 Suppose y - 1 = 1. Let i = 77 - 21. Let f = i - 52. Solve -2*w - y = -f*w for w. 1 Let v(d) = -d**3 + 4*d**2 + 2. Let a be v(4). Suppose -3*m + 0*m - 4*q = 5, -4*m = 4*q. Suppose -2*k - 6*g = -8*g + a, -3*g = m*k - 19. Solve -1 - k = r for r. -3 Suppose -465 = -2*t + r, 3*t + 719*r = 715*r + 659. Solve -t = 114*d + 341 for d. -5 Let n(s) = -3*s**3 + 130*s**2 - 41*s - 49. Let l be n(43). Solve -43 = -16*r + l for r. 5 Let m be ((-60)/(-45))/(2/(-9)). Let c be (-3 - 131/3) + m/(-9). Let z = -44 - c. Solve -1 = -z*k - 9 for k. -4 Let p = 4 - 0. Suppose -4*x = p - 20. Suppose 5*b + 3 = 2*i + 7, -4*i + 20 = x*b. Solve -3*w + 2*w = -i for w. 3 Suppose w = 2*t - 878 - 238, -5*t + 18*w + 2728 = 0. Solve 152*v - t = 40*v for v. 5 Suppose -2*l + 14 = -2. Let w(q) = -3 + 0*q + 9*q + 24 + q**2 + q. Let i be w(-7). Solve i = 5*h - h - l for h. 2 Let j be (1 - -3) + -3 + 1. Suppose -3*t - j = -t + 3*y, 8 = -4*y. Suppose t*l = -k + 21, 0 = -3*l + 8*l - 2*k - 48. Solve -1 = 3*b - l for b. 3 Let s(m) = m**2 - 5*m - 9. Let z be s(7). Let l(u) = u**2 + 8*u - 18. Let b(q) = q**2 - 17*q + 50. Let t be b(5). Let f be l(t). Solve -15 = z*n - f*n for n. -5 Suppose 2100 = 12*d - 5*d. Let k be d/8 - -3 - 1/(-2). Suppose -43*u = -k*u - 4. Solve -u*c = -c - 1 for c. 1 Suppose w = 4, 0 = -4*i - 4*w + 5*w. Let o be ((-10)/4)/(i/(3 - 21)). Suppose -f = f + 5*k - o, -2*k + 6 = 0. Solve f = -5*q - 0 for q. -3 Let g(v) = -482*v + 3399. Let q be g(7). Solve -32*r + q = -37*r for r. -5 Suppose -234 - 18 = -12*g. Let w be 252/24 - 10 - g/(-2). Solve -14*a + w*a = 0 for a. 0 Let p(w) = -w**3 + 4*w**2 + 8*w - 7. Let v be 68/(-16) - ((-11)/(-4) + -3). Let n be 10*v/24*-3. Let r be p(n). Solve -c = c + r for c. -4 Let v(b) = -b**2 + 259*b + 788. Let z be v(-3). Let o(n) = -n**3 + 6*n**2 + 1. Let r be o(6). Let j be ((-3)/9*0)/r. Solve -4*x + z*x = j for x. 0 Let u(m) = -65*m + 29 - 4*m**2 + 113*m - 62*m. Let l be u(3). Let g = l - -53. Solve f - g = -0 for f. 4 Suppose 3 + 7 = 5*z. Let q be -3 + 3 - (-11)/((-55)/(-50)). Suppose 2*x = 5*y + q, z*y + 2*x = 4*y + 10. Solve y = 6*b - 9*b + 3 for b. 1 Let s(b) be the third derivative of -b**6/120 - 3*b**5/10 + 7*b**3/6 + 2*b**2 + 15*b. Let f be s(-18). Solve 0 = -f*r + 8*r - 2 for r. 2 Suppose u = 4*y - 3*u - 32, 0 = 2*y + 3*u - 6. Suppose 4*l + k - 68 = 0, -2*k = -y*l + l + 85. Let q = l - 15. Solve -7*v + 5 = -q*v for v. 1 Let t(c) = c**2 + 60*c - 460. Let p be t(-68). Suppose 0*s + 4*s + 320 = 0. Let x = s + p. Solve -5 = j + x*j for j. -1 Let b(t) = -t**2 + 65*t - 342. Let u be b(6). Solve -u*i = 36 - 12 for i. -2 Let m(y) = 6*y - 1. Let x be m(1). Suppose 0 = 19*i - x*i - 210. Solve 137*f + i = 142*f for f. 3 Let l = -435 - -440. Let w be 7 - l/(-10)*-6. Suppose 0 = 2*q - q. Solve -w = -2*u - q*u for u. 2 Suppose 4*x + 212 = 4*q, -1482*q - 4*x = -1478*q - 228. Solve -406*g - q = -417*g for g. 5 Suppose 3*v + 22 = -2*j, 0 = -j - 3*j + 2*v - 60. Let h = 17 + j. Solve 2*w + 5 = h for w. -1 Let q be 1 + 0*(-2)/(-12) + 330. Let m = q - 331. Let o = 2 - -1. Solve m - o = c for c. -3 Let m = -37 + 37. Let x be (-1 + m)*(3 - 3). Let l(h) = -40*h + 283. Let o be l(7). Solve o + x = -g for g. -3 Let b = 23 - 69. Let z be (-924)/b - 12/138. Solve -3*m = m - z for m. 5 Let v(t) = -2*t + 5. Let k be v(-5). Let f be (5 - 1) + 1 + k/(-5). Solve f*z = -2*z + 4 for z. 1 Let k(y) = -y**2 - 32*y + 4. Let n be k(-32). Solve 313*w = 317*w - n for w. 1 Let q be (0 - (-3 - -1)) + 0 - (-103 - -105). Let x be (-5)/(-2)*16/10. Solve x*s + s = q for s. 0 Let b(o) = o**3 + o**2 + 33. Let m be b(-3). Solve 13*q + 24 = -m for q. -3 Let x(c) be the second derivative of 19*c**3/6 - 82*c**2 - 2*c + 18. Let d be x(9). Solve -4 + d = -3*s for s. -1 Let h be (-12)/(7 + -6 - 2). Let t be (h/15)/(4/20). Solve -4 = -2*a + t for a. 4 Let r(k) be the first derivative of k**3/3 - 9*k**2 + 39*k - 102. Let w be r(16). Solve w = 3*g - 8 for g. 5 Suppose -172*g + 168*g = -4*d + 1216, 968 = 3*d + 5*g. Solve 22*t - d = -179 for t. 6 Let j be (-15)/(-3)*-1 - -5. Suppose 0 = 4*s + 4*z - 0*z + 24, 2*z = j. Let m be (6/4)/(-9 - s)*-6. Solve -u - m = -0*u for u. -3 Suppose -4*t = -3*d + 9, -2*t - 4 = -2*d + 2. Suppose t = -15*p + 6*p + 27. Let f = 15 - p. Solve 3 = -5*c - f for c. -3 Let v be (3 + 225/(-60))/((-2)/48). Solve -9*k + 45 = v for k. 3 Let h = 517 + -507. Suppose -5*t - x = 43, -x - 17 = t + 2*x. Let a = t + 23. Solve -5*o = -a - h for o. 5 Suppose 13*p - 49 = 16. Suppose -n = a - 0*n - p, -10 = -5*a - 2*n. Solve a = 27*h - 28*h + 1 for h. 1 Let m = 62 + -63. Let y = 27 + m. Suppose 3*s + j - y = 0, 0 = 2*s + j + 2*j - 15. Solve -4*w + 3 = -s for w. 3 Let q = -119 + 124. Suppose -8 = -q*y + 22. Let f(d) = 3*d**2 - 2*d - 1. Let c be f(-1). Solve c*i - 2*i = -y for i. -3 Suppose 4 = -2*f, -8*o - 4*f + 6 = -6*o. Solve o - 91 = 12*u for u. -7 Suppose 2*q - k - 5 + 2 = 0, 3*q = k + 3. Let u(h) = 4*h**2 + h - 9. Let x be u(4). Suppose 13*d - 6 = x. Solve -d + q = -t for t. 5 Let p(x) = 14*x + 1792. Let j be p(-128). Solve -7*n + 54 - 40 = j for n. 2 Let g(m) = m**2 + 3*m + 16. Let k be g(-10). Suppose 4*u - 131 = u - y, k = 2*u + y. Let h = u - 30. Solve 5*c - 5 + h = 0 for c. -2 Let y = -7031 - -7035. Solve -y*b - 29 = -13 for b. -4 Let w = -1776 - -1775. Suppose 5*r - 4*s + 5 = 35, 3*r - 3*s - 21 = 0. Let b = r - w. Solve -h = b*h for h. 0 Suppose k = -0*k. Let s = 2 - k. Let y = -4801 - -4804. Solve -y = s*p - 9 for p. 3 Suppose -8 = -154*t + 150*t. Let g = -6 - -9. Suppose -5*h + 14 = 3*l - l, 2*h - 12 = -4*l. Solve -h*o + t = -g*o for o. -2 Let y = 128 - 118. Let m(n) = n**2 - 8*n - 18. Let j be m(10). Suppose -3*f + 6 = k, j*k - k + 2*f - 4 = 0. Solve k*l + y = -5*l for l. -2 Let v be 7 - 13/(39/(-12)). Suppose v*u = 80 - 14. Solve -8*l - 2 = -u*l for l. -1 Let k = -122525 - -122527. Let s(u) = -u**3 - 6*u**2 - 6*u + 5. Let t be s(-5). Let w be 2/(-4) + 35/t. Solve 5*d = w + k for d. 1 Let f(r) = r**3 - 13*r + 4. Let i be f(4). Solve 3*z + i = 10 for z. -2 Suppose 149*a = 31722 - 8478. Solve 162*p - a*p = -6 for p. -1 Let b(p) = 3*p**2 + 31*p + 56. Let h be b(-8). Solve h = -13*a - 18*a for a. 0 Suppose -73*k + 1080 - 297 = 53. Solve -42 = -k*x + 3*x for x. 6 Suppose -37*y + 90 = -428. Solve 32 - y = 9*i for i. 2 Let g = 1912 - 1855. Solve -g*y + 21 = -64*y for y. -3 Let x(l) = 23*l**3 - 2*l**2 + 2*l - 1. Let a be x(1). Let z be 2/a - (-4940)/110. Solve 60 - z = 3*c for c. 5 Let b(f) = -2*f - 13. Let v be b(21). Let h be (-4)/(-5)*v/(-22). Suppose 0 = 5*i + h*m - 0*m - 14, -5*i + 18 = 4*m. Solve -i*n - 3*n = 0 for n. 0 Suppose 11*p - 47 = -14. Suppose -99 = -p*v + 5*c, 4*v - 3*c = c + 124. Let j = v - 21. Solve j*w - 5*w = -10 for w. -5 Suppose -4*g = -5*m - 8 - 36, -4*m + 2 = 3*g. Let u(j) = 2*j + 12. Let f be u(-5). Suppose -f*n - 4 = -r + g, 0 = -n - 3. Solve -r*p - 1 - 3 = 0 for p. -1 Let q be 777612/3699 + 4/(-18). Solve -q + 182 = 4*a for a. -7 Suppose -3*r = -11*p + 10*p + 37, 4*p - 3*r = 139. Solve -6*s = -p + 22 for s. 2 Suppose 3*m - 3 = -4*j + 12, -2*m + 14 = 4*j. Let a(n) be the first derivative of n**3/3 - 29*n**2/2 + 59*n - 9. Let l be a(27). Solve 0 = -l*k + m - 6 for k. -1 Suppose -5*v + 52 = 4*i, -8*v + 5*v = -i - 4. Suppose -780 = -i*n - 31*n. Solve -6*l = -10*l + n for l. 5 Suppose -3*w + 0*h = 3*h - 27, -3*h = w - 15. Let p be (14/(-21))/((10/w)/5). Let x be ((-30)/12)/(1/p). Solve -9 = x*a - 4 for a. -1 Let c be ((-6)/(-12))/((-5)/(-650)). Suppose -18*i + 173 = c. Solve 10 = j + i for j. 4 Let g be 3*(-2)/24 - (-123)/12. Suppose -g*s + 14*s - 16 = 0. Let b(m) = -3*m**2 + 12*m + 3. Let f be b(s). Solve -15 = f*j - 0*j for j. -5 Let c(d) = 63*d**3 - 32 - 64*d**3 - 1670*d**2 + 1688*d**2 + 2*d. Let i(o) = 6*o**2 - 4*o + 2. Let x be i(2). Let f be c(x). Solve f*y + 0*y = 0 for y. 0 Suppose -5*g = -z - 3*z - 37, 2*z = 2*g - 16. Solve -132 = 28*j + g*j for j. -4 Let f(n) = n**3 - 80*n**2 - 155*n - 594. Let l be f(82). Solve 26*g - l = -300 for g. -6 Let u be 88/(-16) + (-1566)/(-108) - (5 + 1). Let q(m) = 2*m**2 - 4*m + 2. Let c be q(2). Solve w = -c*w + u for w. 1 Let u
{ "pile_set_name": "DM Mathematics" }
*i**2 + 6*i**2 - 1. Let u(b) = q(b) - r(b). Give u(p(c)). 162*c**4 Let v be ((-3)/(-6))/(3/414). Let j(a) = 47*a - v + 24 + 44. Let k(f) be the second derivative of f**4/6 + 6*f. Calculate k(j(g)). 4418*g**2 - 188*g + 2 Let w(g) = 3*g. Let b(o) = 255*o**2 + 306*o - 153. Suppose -11*x = 11*x - 22. Let z(u) = 2*u**2 + 2*u - 1. Let s(t) = x*b(t) - 153*z(t). What is s(w(h))? -459*h**2 Let r(d) = 347*d**2. Let o(b) = -1063*b**2 + 6*b + 1060*b**2 - 6*b. Give r(o(i)). 3123*i**4 Let z(o) be the third derivative of 7*o**4/6 + 1875*o**2. Let v(a) = -80*a**2 + 1. Give v(z(p)). -62720*p**2 + 1 Let r(l) = 8*l - 45 + 5*l - 13 + 125. Let m(o) = -o. Calculate r(m(w)). -13*w + 67 Let p(n) = n**2 - 264. Let r(d) = -7*d**2 - 10. Let s(j) = -9*j**2 - 15. Let c(b) = 3*r(b) - 2*s(b). Give p(c(x)). 9*x**4 - 264 Let p(n) = 15*n**2. Let f(v) = 4*v - 18. Let d be f(5). Suppose 4 = 11*l - 9*l. Let k(r) = 5*r**l - 2*r**d - 2*r**2 + r**2. What is k(p(g))? 450*g**4 Let p(b) = -232*b**2. Let i(s) = 5499217*s**2. Determine p(i(r)). -7016001926236648*r**4 Let x(p) = -55*p**2 - p - 141. Let o(v) = -503*v. Give o(x(f)). 27665*f**2 + 503*f + 70923 Let z(t) = -9*t**2. Let f(k) be the first derivative of 6 + 1/2*k**2 + 0*k. Calculate f(z(v)). -9*v**2 Suppose 2*d + 15 = 7*d. Suppose d*g - 30 = -3*g. Let s(r) = -6*r - g*r - 10*r + 20*r. Let q(u) = -2*u. Calculate s(q(i)). 2*i Let v(r) = 20*r**2 - 894034. Let n(q) = -7*q. Calculate n(v(a)). -140*a**2 + 6258238 Let o(q) = -q. Let k(c) = 1. Let s(h) = h - 17. Let p = -277 + 276. Let x(w) = p*k(w) + s(w). Determine x(o(g)). -g - 18 Let i(w) = 2*w**2 - 1370*w. Let d(x) = -11*x - 3*x - 10 + 10 + 17*x. Calculate i(d(k)). 18*k**2 - 4110*k Let u(h) = 0*h + 0*h**2 + 3*h**2 + 7*h. Let f(t) = 114 + 77 + t - 311 + 120. Calculate u(f(j)). 3*j**2 + 7*j Let y(k) = 2*k - 940. Let d(w) = -47. Let v(u) = 20*d(u) - y(u). Let c(b) = -2*b - 1895. Determine c(v(t)). 4*t - 1895 Let c(y) = -69*y**2 - y + 9. Let v(l) be the third derivative of -l**5/60 - 288*l**2. Calculate c(v(a)). -69*a**4 + a**2 + 9 Let w(l) = -l**2. Let d(q) = q**3 - 5*q**2 - 14*q + 15. Let f be d(8). Let c = f + -78. Let x(i) = -13*i**2 + 4*i**2 + c*i**2. Calculate w(x(n)). -64*n**4 Let s(v) = -19*v - 14. Let i(l) be the second derivative of -l**4/6 + 1364*l. What is s(i(m))? 38*m**2 - 14 Let n(s) = 8*s + 1099. Let r(z) = 156*z**2 + 5*z. Give n(r(u)). 1248*u**2 + 40*u + 1099 Let k(t) = -1858114*t**2. Let s(x) = 10*x. What is k(s(p))? -185811400*p**2 Let h(o) = 2*o - 1. Suppose 13*b = 18*b + 5. Let j(q) = 140*q**2 - 10*q + 4. Let u(w) = b*j(w) - 4*h(w). Let v(a) = a. What is v(u(p))? -140*p**2 + 2*p Let r(b) = 137*b. Suppose 0 = -19*w - 30 + 87. Let c(j) = 0*j**2 + w*j**2 - j**2 - 4*j**2. What is c(r(k))? -37538*k**2 Let y(d) = -11*d**2 - 3. Suppose 450 = 3*s + 4*r, -3*s + s = -2*r - 314. Let t(q) = 2*q**2 - s - 164 + 318. Calculate y(t(k)). -44*k**4 - 3 Let o(m) = 0*m**2 - 8*m**2 - 2*m**2. Let i(p) = -4*p + 31*p - 34*p + 27*p. What is i(o(y))? -200*y**2 Let z(s) be the second derivative of 71*s**4/12 + 330*s. Let j(k) = 25*k. Give z(j(l)). 44375*l**2 Let y(a) be the first derivative of -a**2 + 288 + 280 + 289 - 890. Let x(l) = -88*l. Calculate x(y(o)). 176*o Let m(g) be the second derivative of -5*g**3/6 - 1167*g. Let v(i) = 505*i**2. What is v(m(r))? 12625*r**2 Let l(n) = 549*n**2. Let p(r) = -11480*r. Give p(l(u)). -6302520*u**2 Let l(k) = 19*k + 10. Let h = 120 + -111. Let t(i) = -39*i - 22. Let c(b) = h*l(b) + 4*t(b). Let m(f) = f**2. Calculate c(m(s)). 15*s**2 + 2 Let y(a) = -169*a + 343*a - 167*a. Let z(s) = -32*s. What is z(y(b))? -224*b Let u(p) = -4799*p + 24. Let z(f) = -170*f**2. Calculate u(z(x)). 815830*x**2 + 24 Let c(w) = w. Let o(t) be the second derivative of 7*t**5/10 - 100*t**2 + 96*t. Let l(s) be the first derivative of o(s). Give c(l(y)). 42*y**2 Let y(f) = -179*f + 11. Let r(w) = -33*w + 2. Let v(x) = 11*r(x) - 2*y(x). Let h(s) be the third derivative of s**4/6 + 12*s**2. Determine v(h(l)). -20*l Let r(i) be the second derivative of -68*i**3/3 - 5048*i. Let n(f) = -7*f. Give n(r(c)). 952*c Let l(v) = 33656824*v. Let r(u) = 33*u. Determine r(l(b)). 1110675192*b Let w(k) = -635*k + 30*k**2 + 635*k - 27*k**2. Let c(l) = 2610*l - 2. What is c(w(i))? 7830*i**2 - 2 Let t(m) be the second derivative of -530*m**4/3 - 942*m + 2. Let a(u) = -u. Determine t(a(o)). -2120*o**2 Let i(a) = -11253289*a**2. Let c(b) = b**2. Give i(c(k)). -11253289*k**4 Let u(h) = -18*h. Let c(l) = -56 - 20 + 186*l**2 + 76. What is c(u(o))? 60264*o**2 Let w(c) = c. Let h(d) = 5043*d**2 - 11*d + 27. Determine w(h(l)). 5043*l**2 - 11*l + 27 Let i(k) = -3*k**2. Let w(q) = 5852939*q. What is w(i(z))? -17558817*z**2 Let c(a) = 303*a. Let b(k) = -229*k**2 - 5*k. Let d(f) = 98*f**2 + 2*f. Let n(y) = -2*b(y) - 5*d(y). What is n(c(o))? -2937888*o**2 Let h(f) = 10*f - 14. Let v(p) = p - 1. Let y(x) = -2*h(x) + 28*v(x). Let w(j) = -105 + 45 + 18*j**2 + 60. Determine w(y(a)). 1152*a**2 Let z(a) = -7123873*a. Let x(s) = -4*s. Calculate z(x(i)). 28495492*i Let o(i) = 258*i + 60. Let f(n) = 1765*n + 1. Give o(f(j)). 455370*j + 318 Let c(s) = s + 3. Let y(h) = -1. Let i(b) = -47*b + 21. Let z be i(-2). Let q = z - 116. Let u(j) = q*c(j) - 3*y(j). Let k(t) = -19*t. Determine u(k(x)). 19*x Let p(b) = -19*b**2. Let g = -68 + 70. Let z(f) = 87*f**2 + 2*f - 83*f**2 - g*f. Determine z(p(u)). 1444*u**4 Let g(f) be the first derivative of 5*f**3 - 19. Suppose -25 = -13*k + 8*k. Let j(p) = -k*p + 4*p + 2*p - 2*p. Determine g(j(v)). 15*v**2 Let v(h) be the third derivative of -5*h**4/24 - h**3/2 + 1151*h**2. Let k(g) = -18*g**2. Determine k(v(u)). -450*u**2 - 540*u - 162 Let g(c) = 2*c**2 + 61. Let v(b) = 3 + 929*b - 3 + 962*b - 1893*b + 2. Calculate v(g(a)). -4*a**2 - 120 Let m(g) = 2*g**2 - g + 648. Let u(i) = 112*i - 5. Calculate m(u(n)). 25088*n**2 - 2352*n + 703 Suppose 291 = 9*h - 627. Suppose -4*y + 4*l + 96 = 8*l, 4*y - h = -l. Let s(f) = y*f - 8*f + 26*f. Let z(u) = -u**2. Give s(z(o)). -44*o**2 Let k(u) be the first derivative of -u**2/2 - 3321. Let a(s) = -29787*s. What is a(k(c))? 29787*c Let b(p) = 3560*p**2. Let t(a) = -1083*a + 16. What is t(b(q))? -3855480*q**2 + 16 Let z(f) = 3*f. Let q(j) = -2191828*j. Determine q(z(g)). -6575484*g Let c(r) = 236*r - 4 + 2 + 2 - 241*r. Let i(z) = -3*z - 1. Give i(c(h)). 15*h - 1 Let h(d) = -10*d**2. Let o(n) = 499*n. Let j(i) = 498*i. Let k(m) = -6*j(m) + 5*o(m). Let b(s) = 11*s. Let q(v) = 136*b(v) + 3*k(v). What is q(h(x))? -170*x**2 Let c(o) = -110*o**2 + 102 - 93*o - 112*o**2 - 9*o + 52*o**2. Let b(s) = -2*s**2 - s + 1. Let i(m) = 102*b(m) - c(m). Let j(l) = -2*l. What is i(j(y))? -136*y**2 Let v(i) = -i - 231. Let d(n) = 45*n. Let z(w) = 143*w. Let b(g) = -22*d(g) + 7*z(g). Give b(v(j)). -11*j - 2541 Let j(d) be the third derivative of 41*d**5/60 - 3*d**2 - 814. Let c(l) = -l**2 - 11. Give j(c(n)). 41*n**4 + 902*n**2 + 4961 Let c(d) = -d**2. Let a(r) = -200*r - 37. Let j(h) = -90*h - 19. Let g(w) = -2*a(w) + 5*j(w). Give c(g(s)). -2500*s**2 - 2100*s - 441 Let z(c) = -10*c - 90. Let t(b) = 6*b + 50. Let u(i) = -9*t(i) - 5*z(i). Let r(d) = -9*d + 12. What is u(r(w))? 36*w - 48 Let g(l) = 72*l**2 + 411227*l - 2. Let o(d) = -d. Determine g(o(a)). 72*a**2 - 411227*a - 2 Let y(c) = 2*c. Let j(w) = 4*w + 4. Let g(h) = -3*h + 1 - 6 + 5 - 3 - h**2. Let l be 4/10 - (-176)/(-40). Let p(i) = l*g(i) - 3*j(i). Determine y(p(m)). 8*m**2 Let o(m) be the second derivative of -m**3/6 - 6653*m. Let s(b) = 2 - 1 - 1 - 545*b. Determine o(s(g)). 545*g Let q(w) = -w. Let k(s) = -33*s. Let p(m) = k(m) - 44*q(m). Suppose 0 = 13*g - 136 - 20. Let h(o) = -3*o - g - 4 + 16. What is p(h(c))? -33*c Let m be (-72)/(-15)*40/12. Let y(g) = -27*g - 54*g**2 + 7*g + 4*g + m*g. Let o(t) = -4*t**2. Calculate y(o(d)). -864*d**4 Let k(j) be the third derivative of 11*j**4/12 - 202*j**3/3 + 10205*j**2. Let c(r) = -2*r**2. Give k(c(p)). -44*p**2 - 404 Let v(h) = h**2 + 3*h. Let o be (4 + -5)/(3/(-6)). Let a(d) = -15*d**2 + 2*d**2 + 9*d**o. Determine a(v(k)). -4*k**4 - 24*k**3 - 36*k**2 Let v(s) = -3*s**2 - 10175*s. Let o(n) = -39*n + 2. Give v(o(x)). -4563*x**2 + 397293*x - 20362 Let a(m) be the second derivative of -1/2*m**2 + 9 - 1/6*m**3 + 2*m. Let y(g) = -5*g**2. Give y(a(p)). -5*p**2 - 10*p - 5 Let v
{ "pile_set_name": "DM Mathematics" }
1/5, 6 Factor -3*g**4 - 171*g**3 + 570*g**2 + 1800*g. -3*g*(g - 5)*(g + 2)*(g + 60) Determine d, given that -4*d**4 + 1700*d**3 + 15564*d**2 + 26012*d + 12152 = 0. -7, -1, 434 What is q in -2*q**2 + 376552*q - 17723926088 = 0? 94138 Factor -r**2/4 + 33*r - 648. -(r - 108)*(r - 24)/4 Let 3*z**2/2 + 18633*z/2 - 112014 = 0. Calculate z. -6223, 12 Factor -f**4/6 + 227*f**3/6 - 5945*f**2/2 + 593393*f/6 - 3583892/3. -(f - 104)*(f - 41)**3/6 Find k such that 90*k**5 + 1006*k**4 + 2634*k**3 - 222*k**2 - 1604*k + 336 = 0. -7, -4, -1, 2/9, 3/5 Determine y so that -3*y**4 - 129*y**3 - 1041*y**2 - 1707*y - 792 = 0. -33, -8, -1 Suppose 141*f**5 - 126*f**4 - 1299*f**3 - 1656*f**2 - 624*f = 0. What is f? -52/47, -1, 0, 4 Solve 12135*a**3 + 20495*a**2 - 7640*a - 180 = 0 for a. -2, -18/809, 1/3 Factor o**5/4 + 425*o**4/4 - 855*o**3/2 + 1285*o**2/2 - 1715*o/4 + 429/4. (o - 1)**4*(o + 429)/4 Determine l so that l**4 - 289732*l**3 + 20985868221*l**2 + 41972895378*l = 0. -2, 0, 144867 What is g in -2*g**3/9 + 28334*g**2/9 - 283190*g/9 + 78650 = 0? 5, 14157 What is c in 108*c**5 + 12807*c**4 - 58146*c**3 + 64368*c**2 - 25434*c + 3321 = 0? -123, 1/3, 3/4, 3 Determine t so that 4*t**2/3 + 463288*t/3 + 13414735684/3 = 0. -57911 Factor -c**2/4 + 95619*c/4 - 95617/2. -(c - 95617)*(c - 2)/4 Find x such that -x**2/8 - 10045*x/4 - 100902025/8 = 0. -10045 What is c in -5*c**4 + 640*c**3 + 7450*c**2 + 26880*c + 31275 = 0? -5, -3, 139 Factor -2*r**3 - 137312*r**2 - 2356823168*r. -2*r*(r + 34328)**2 Suppose -2*j**2 - 234110*j - 234108 = 0. What is j? -117054, -1 Determine j, given that -3*j**5/2 + 1989*j**3/2 + 10353*j**2 + 9360*j = 0. -16, -13, -1, 0, 30 Solve -3*w**5 - 198*w**4 - 1437*w**3 - 2610*w**2 = 0 for w. -58, -5, -3, 0 Let -5*f**5/4 - 93*f**4 - 166*f**3 + 1136*f**2 + 3660*f + 2896 = 0. Calculate f. -362/5, -2, 4 Factor n**5 + 460*n**4 - 923*n**3 + 462*n**2. n**2*(n - 1)**2*(n + 462) Find g such that 2*g**5/11 + 102*g**4/11 + 66*g**3 - 4574*g**2/11 - 2448*g + 106272/11 = 0. -41, -9, 4 Factor f**2/2 - 8166*f + 16331/2. (f - 16331)*(f - 1)/2 Determine b so that 4*b**3 - 14020*b**2 + 334176*b = 0. 0, 24, 3481 Factor h**3/5 - 2003*h**2 - 90198*h/5 - 180432/5. (h - 10024)*(h + 3)*(h + 6)/5 Suppose 2*p**5/9 - 202*p**4/9 + 214*p**3/3 + 13306*p**2/9 - 27524*p/9 - 76048/3 = 0. What is p? -6, -4, 7, 97 What is u in -5*u**3 + 1485*u**2 + 13680*u + 27540 = 0? -6, -3, 306 Solve -p**4/4 + 341*p**3/4 + 53229*p**2/4 - 19658069*p/4 - 4927739 = 0. -236, -1, 289 Factor 65522*g**3/9 - 2223404*g**2/9 - 49208*g/3 - 272. 2*(g - 34)*(181*g + 6)**2/9 Suppose 2*z**2/7 - 40856*z/7 = 0. Calculate z. 0, 20428 Factor -5*h**2 - 1950*h + 11880. -5*(h - 6)*(h + 396) Determine v, given that -8*v**2/7 - 498*v/7 - 4590/7 = 0. -51, -45/4 Let 3*y**3 - 7764*y**2 + 46503*y - 69714 = 0. What is y? 3, 2582 Solve -2*x**4/15 - 22*x**3/5 - 542*x**2/15 + 22*x/5 + 544/15 = 0 for x. -17, -16, -1, 1 Factor -4*h**3/3 - 3092*h**2/3 + 4*h/3 + 3092/3. -4*(h - 1)*(h + 1)*(h + 773)/3 Find b such that 2*b**3 + 8324*b**2 + 16642*b + 8320 = 0. -4160, -1 Solve -2*f**2 - 49168*f - 302186528 = 0. -12292 Find n such that 3*n**3/2 + 1347*n**2/2 + 2670*n = 0. -445, -4, 0 Factor 3*z**5 + 45*z**4 + 249*z**3 + 603*z**2 + 540*z. 3*z*(z + 3)**2*(z + 4)*(z + 5) Determine z, given that 3*z**4 - 138*z**3 + 1245*z**2 + 7866*z - 31320 = 0. -6, 3, 20, 29 Let 4*l**4 - 10344*l**3 + 6677044*l**2 + 13385136*l + 6697744 = 0. Calculate l. -1, 1294 Factor -u**2 - 29*u + 20096. -(u - 128)*(u + 157) Determine f so that 54*f**5/5 + 500664*f**4/5 - 12694456*f**3/15 + 5419456*f**2/15 - 118784*f/3 = 0. -9280, 0, 2/9, 8 Determine g so that -7*g**5/9 + 195655*g**4/9 - 80738*g**3 + 558932*g**2/9 + 223576*g/9 = 0. -2/7, 0, 2, 27947 Factor -s**2 + 144097*s. -s*(s - 144097) Solve 95*o**3 - 485*o**2 + 430*o - 40 = 0. 2/19, 1, 4 Find s, given that s**3/4 + 1249*s**2/4 - 6320*s + 31725 = 0. -1269, 10 Suppose 2*d**2/17 + 70*d/17 - 26068/17 = 0. What is d? -133, 98 Determine c so that 3*c**3 - 1080*c**2 + 9537*c - 21060 = 0. 4, 5, 351 Let -j**2/7 - 11381*j/7 - 90984/7 = 0. What is j? -11373, -8 Find z, given that 20*z**5/19 - 10442*z**4/19 - 21024*z**3/19 + 31366*z**2/19 + 42008*z/19 - 41928/19 = 0. -2, 1, 5241/10 Factor -4*w**2 - 352*w - 688. -4*(w + 2)*(w + 86) Factor -3*k**2 - 172086*k - 344160. -3*(k + 2)*(k + 57360) Factor -693*j**4 - 507*j**3 - 30*j**2. -3*j**2*(3*j + 2)*(77*j + 5) Factor -k**4 - 10856*k**3 - 29310808*k**2 + 827096928*k - 5804611344. -(k - 14)**2*(k + 5442)**2 Factor -m**2/4 - 52409*m/4. -m*(m + 52409)/4 Determine r, given that r**4/5 + 8*r**3/5 - 7*r**2/5 - 10*r + 48/5 = 0. -8, -3, 1, 2 Find t such that -14*t**2/3 - 3938*t/3 - 1124/3 = 0. -281, -2/7 Solve -2*v**2 - 2846*v + 48960 = 0. -1440, 17 What is d in -3*d**3/7 - 402912*d**2/7 + 4835268*d/7 - 2072304 = 0? -134316, 6 What is g in -22*g**3/7 + 5757*g**2/7 + 1836*g/7 - 524/7 = 0? -1/2, 2/11, 262 Suppose -28*h**5/3 - 242*h**4/9 - 46*h**3/3 + 20*h**2/9 = 0. Calculate h. -2, -1, 0, 5/42 Factor -2*p**2/15 + 494*p/5 - 37352/3. -2*(p - 580)*(p - 161)/15 Solve 3*l**2 - 151272*l + 453789 = 0 for l. 3, 50421 Let -18*w**4/7 - 1688*w**3/7 + 58336*w**2/7 - 63328*w + 13664 = 0. What is w? -122, 2/9, 14 Factor -5*g**3/4 - 2445*g**2/2 + 44415*g/4. -5*g*(g - 9)*(g + 987)/4 Factor -3*y**2 + 578451*y. -3*y*(y - 192817) Factor 2*i**4/9 - 64*i**3/9 - 4066*i**2/3 + 59204*i. 2*i*(i - 57)**2*(i + 82)/9 What is v in 845*v**2 + 5695*v + 4850 = 0? -970/169, -1 Determine x so that 196*x**4 - 20860*x**3 - 11968*x**2 - 1712*x = 0. -2/7, 0, 107 What is c in 2*c**4/7 + 296*c**3/7 + 4042*c**2/7 + 988*c = 0? -133, -13, -2, 0 What is j in 16*j**5 + 1964*j**4 + 62904*j**3 + 161280*j**2 + 86400*j = 0? -60, -2, -3/4, 0 Factor -2*a**4/7 - 5250*a**3 - 110238*a**2/7 - 110234*a/7 - 36744/7. -2*(a + 1)**3*(a + 18372)/7 Solve 4*n**4 + 2248*n**3 - 41628*n**2 + 76496*n - 37120 = 0 for n. -580, 1, 16 Find q such that -2*q**4 + 38*q**3 + 98*q**2 - 302*q + 168 = 0. -4, 1, 21 Let 845*u**5/3 - 1391*u**4 + 5719*u**3/3 - 809*u**2 + 12*u = 0. Calculate u. 0, 1/65, 12/13, 1, 3 Find v such that -5*v**2/3 - 183610*v/3 - 1685631605/3 = 0. -18361 Suppose -3*s**2 - 456291*s - 912570 = 0. What is s? -152095, -2 Solve -2*v**3/5 - 1004*v**2 - 89874*v/5 - 403704/5 = 0. -2492, -9 Find u such that -1846*u**4/15 + 1480*u**3/3 - 3098*u**2/5 + 3772*u/15 - 32/15 = 0. 8/923, 1, 2 Solve 3*q**5 - 876*q**4 - 1767*q**3 + 876*q**2 + 1764*q = 0. -2, -1, 0, 1, 294 Suppose -3*t**4/5 + 144*t**3/5 + 567*t**2 = 0. Calculate t. -15, 0, 63 Solve 2*m**5/7 - 38*m**4/7 - 4884*m**3/7 - 14404*m**2/7 - 14318*m/7 - 4758/7 = 0. -39, -1, 61 Factor -729*k**2/7 + 141*k - 248/7. -(3*k - 1)*(243*k - 248)/7 Determine r so that r**5/5 - 9*r**4/5 - 853*r**3/5 - 8903*r**2/5 - 20904*r/5 - 12844/5 = 0. -13, -2, -1, 38 Solve -4*v**4/3 + 1724*v**3/3 - 105100*v**2/3 - 6255172*v - 18434592 = 0 for v. -72, -3, 253 Solve 18*y**5/7 + 87*y**4 + 405*y**3/7 - 2895*y**2/7 + 351*y - 594/7 = 0 for y. -33, -3, 1/2, 2/3, 1 Solve -2*q**3 - 36218*q**2/5 - 32789966*q/5 + 6559442/5 = 0 for q. -1811, 1/5 Let 2*g**2 - 2916*g = 0. What is g? 0, 1458 Suppose 68*q**4 + 74*q**3 + 6*q**2 = 0. What is q? -1, -3/34, 0 Find f, given that -2*f**3/17 - 1438*f**2/17 - 12190*f + 1133118 = 0. -391, 63 Determine r so that -5*r**3 + 6055*r**2 - 36195*r + 54225 = 0. 3, 1205 Factor -722*b**4 - 372856*b**3 - 47842412*b**2 + 76239240*b - 30186450. -2*(b + 259)**2*(19*b - 15)**2 Suppose s**3/4 - 20695*s**2/2 + 428034577*s/4 + 1285594203 = 0. What is s? -12, 20701 Solve -2*f**4/17 + 136*f**3 - 59144*f**2/17 + 434496*f/17 - 650880/17 = 0 for f. 2, 12, 1130 Suppose -5*h**3/3 - 610*h**2/3 - 6200*h = 0. Calculate h. -62, -60, 0 What is l in -4*l**5 - 436*l**4 - 852*l**3 + 436*l**2 + 856*l = 0? -107, -2, -1, 0, 1 Suppose 4*b**4 - 3488*b**3 - 67524*b**2 - 171072*b = 0. What is b? -16, -3, 0, 891 Factor -32*j**2 - 38180*j - 76232. -4*(j + 2)*(8*j + 9529) Factor 2*r**3/5 + 1156*r**2 + 23096*r/5 + 23088/5. 2*(r + 2)**2*(r + 2886)/5 Find u such that -4*u**3 + 828*u**2 + 103024*u - 209328 = 0. -89, 2, 294 Suppose -4*z**3 + 416*z**2 - 1780*z - 19800 = 0. Calculate z. -5, 10, 99 Let -4*h**5 + 44*h**4 + 3144*h**3 - 57752*h**2 + 188860*h - 134292 = 0. Calculate h. -31, 1, 3, 19 Let 4*i**2 + 17252*i - 86360 = 0. Calculate i. -4318, 5 Factor
{ "pile_set_name": "DM Mathematics" }
)*g)/(g**(-29)*g*g**(-3)) assuming g is positive. g**(-20) Simplify (((c*c/c**5*c)/((c*c**(2/3))/c*c))**26)**(-4/11) assuming c is positive. c**(104/3) Simplify ((w/(w/(w*w**(1/3))))/w**(-6/7))/(w**(14/5)*w**(5/4)/w) assuming w is positive. w**(-361/420) Simplify (f**(-2)/f**37)/((f*(f**(-21/4)/f)/f)/f**(-2/15)) assuming f is positive. f**(-1973/60) Simplify (b**31*b/b**20*b)**(2/3) assuming b is positive. b**(26/3) Simplify ((t**8*t**(12/7))**(1/8))**17 assuming t is positive. t**(289/14) Simplify ((h**(4/19))**(-5/12))**(2/9) assuming h is positive. h**(-10/513) Simplify (((z*z**(-23/5))/(z*z**(6/5)))**13)**34 assuming z is positive. z**(-12818/5) Simplify ((g**0*g**(-7))**(-50))**(-29) assuming g is positive. g**(-10150) Simplify h*h**(-20)*h*h*h**(-6)/h*h*(h/(((((h**(13/4)*h)/h)/h*h)/h*h)/h*h)*h*h)/(h/h**(-1/41)*h) assuming h is positive. h**(-4145/164) Simplify ((f*f*f**(2/7))/(f/(f/f**(-13))))/(f**(-1/4)/f)**(-9/2) assuming f is positive. f**(541/56) Simplify (l**(-1/2))**(-1/16)/(l*l*l**(-1/3)*l**(-4/3)) assuming l is positive. l**(-29/96) Simplify (j**(-3)/j)/(j/(j/(j**(4/3)*j))*j)*(j/(j**(1/4)/j*j))/j*j*(j*j/((j/j**(-5))/j)*j)/j assuming j is positive. j**(-115/12) Simplify (x*x**(-1/14)*x*x/x**(-6/13))/(x**(-5))**(11/4) assuming x is positive. x**(6239/364) Simplify ((c**(-2/21)/c*c)**(36/5))**30 assuming c is positive. c**(-144/7) Simplify ((x/x**(-3)*x)**27*(((((x/(x/x**(-1)*x)*x)/x)/x)/x)/x)**(-10))**(-4) assuming x is positive. x**(-740) Simplify ((((y/y**(-8/3))/y)/y**(-8))**(-4/19))**(-1/39) assuming y is positive. y**(128/2223) Simplify (((d**0/d*d)/d**11)/(d/(d*d**(-1)))**36)**(-1/42) assuming d is positive. d**(47/42) Simplify (m*(m*(m/(m*m/m**5))/m*m)/m*m*m*m**10*(m**(-1))**(-43))**(-23) assuming m is positive. m**(-1380) Simplify (((i*i/(i*i**(-1))*i)**(-2/3))**(-21))**(2/49) assuming i is positive. i**(12/7) Simplify ((l**5/(l/(l/(l**(2/49)*l)*l)*l))**(-40/9))**(1/63) assuming l is positive. l**(-7760/27783) Simplify (b**11)**(-39)*b*b*(b/(b**16/b))/b*b**(2/81) assuming b is positive. b**(-35800/81) Simplify (a**(16/7)*a**(-4)/a)/((a**(-2)/a*a)/((a/a**8)/a)) assuming a is positive. a**(-61/7) Simplify (c/(c/(c*(c**(-14)*c)/c))*c**19)**(3/7) assuming c is positive. c**(18/7) Simplify (((f/(f/(f**(1/4)/f*f)*f))/f)**(-2/73)*f**8*f*(f*f**(-10))/f)**(-31) assuming f is positive. f**(4309/146) Simplify (u/u**15*(u*u**(3/23)*u)/u)/(u**(-4/3)/(u*u**(11/4))) assuming u is positive. u**(-2149/276) Simplify ((((c*c**(1/2))/c)/c)**(5/8)*(c**1)**(3/14))**(-49) assuming c is positive. c**(77/16) Simplify (o*o/(o**3/o))**49*(o**(1/4)*o)/(o/(o/((o/(o/o**(-2/29)*o))/o))) assuming o is positive. o**(385/116) Simplify (s**(-9)*s**(2/7))/(((s**(-2)/s*s*s)/s)/s*s)**(-3) assuming s is positive. s**(-103/7) Simplify (j**14/(j/j**(1/8)))/((j*j**(-7)*j)/j**(-3/11)) assuming j is positive. j**(1571/88) Simplify (w*w**(2/25)*w*w**(-4/3))/((w**0*w)/w*w*w/w**(1/3)) assuming w is positive. w**(-23/25) Simplify ((u**(1/3)*u**(1/5))/(u/(u/u**0))**47)**43 assuming u is positive. u**(344/15) Simplify (o**(1/10))**(-26)/(o**(-2/27))**(2/7) assuming o is positive. o**(-2437/945) Simplify g**(-29)/(g*g/(g**(-2/23)/g))*g**(-3/4)*g*g*g/(g*g**(1/3))*g assuming g is positive. g**(-8327/276) Simplify (m**(-9))**(3/4)/(m/m**(-2/35)*m**(-14)) assuming m is positive. m**(867/140) Simplify ((u**(1/2)*u)/u)/(u*u**(3/4))*u/(u/(u**11/u))*u/u**(-5)*u*u*u assuming u is positive. u**(71/4) Simplify (v/(v/(v*v**(-10)))*v*v*v**(-4/5)/v*v)/((v*v/(v/(v**(3/11)*v)))/(v**10/v)) assuming v is positive. v**(-59/55) Simplify (p**(-8)*p*p*p*p**25/p)**(-1/30) assuming p is positive. p**(-19/30) Simplify ((g**(-1/13)*g)/(((g*g*g**5)/g)/g)*(g/(g**(-1/4)*g))/g**(-5))**(-6/19) assuming g is positive. g**(-183/494) Simplify p**(-4/11)/p**21*p**5*p*(p*p*p/(p/p**(-1/11)))/p*p assuming p is positive. p**(-148/11) Simplify ((t**(-12)/(t*t**(-2/13)))/((t*t/t**(-8))/(t/(t*t*t*t**9*t))))**(-1/4) assuming t is positive. t**(453/52) Simplify (x/((x/(x/(x*x**(-7))))/x*x))/x*x**4*(x/((x*x*x**35)/x))/x**7 assuming x is positive. x**(-32) Simplify ((a/a**(2/9)*a*a**(1/15))/(a**1)**(-7/3))**50 assuming a is positive. a**(1880/9) Simplify ((h/(h**2/h))/(h*h**(-2/3)*h)*h**(-1/12)*h*(h*h**5/h)/h*h)**(1/81) assuming h is positive. h**(55/972) Simplify ((f*f*f**(-8))/f**(-2/19))/(((f/f**(-8)*f)/f*f)/(f/(f*f*(f*f**(-13/3)*f)/f))) assuming f is positive. f**(-773/57) Simplify n**(-14)*n**(3/4)*n**(2/35)*n/n**17 assuming n is positive. n**(-4087/140) Simplify (a/(a/a**(-1/11)))**48*a**0/(a*a/((a*(a/((a/(a/(a**14/a))*a)/a))/a)/a)) assuming a is positive. a**(-213/11) Simplify ((b/(b**(-1/2)/b))/b*((b/b**1)/b*b)/b*b**(-2)*b*b**1)**(1/22) assuming b is positive. b**(1/44) Simplify (d**(2/3))**(2/33)/(d/(d**(-3/8)*d)*d*d/(d**(-8)*d)) assuming d is positive. d**(-7393/792) Simplify (n*n*((n/((n*n/((n**1*n)/n))/n)*n)/n)/n*n*n)**(-49)/(n**(-10)/(n**(-10)*n)) assuming n is positive. n**(-195) Simplify ((f*f**(-1/3))/(f*f**(1/7)))/((f*f**(1/18))/((f*(f*(f**(-30)/f)/f)/f)/f)) assuming f is positive. f**(-4225/126) Simplify h**(3/14)*h*h**(-2/19)*h*h**(-17/2)*h**(-1/4) assuming h is positive. h**(-3533/532) Simplify ((o**2*o)**31/((o/o**(2/5))/o)**45)**33 assuming o is positive. o**3663 Simplify (q/(q*q**6))**(-11/3)*(q*q**(-6)*q)/(q/q**(-19)) assuming q is positive. q**(-2) Simplify (f/(f*f**(2/7)*f))**7*f/(f*f**(-2/3)*f*f)*f*f/(f*f*f/(((f*f**(-1)*f)/f)/f)) assuming f is positive. f**(-37/3) Simplify j**(-8)*j*j**17*j*(j*j/j**(3/2)*j*j*j)**27 assuming j is positive. j**(211/2) Simplify ((w**2)**(8/3)/(w*w**(-8)*w*w/w**(-2/17)))**(2/7) assuming w is positive. w**(1042/357) Simplify j**(1/9)/(j*j**11)*(j/(j*j**(-1/4)*j*j))**(-35) assuming j is positive. j**(1777/36) Simplify (q**15/(q/(q*q**(1/5))))**(-11) assuming q is positive. q**(-836/5) Simplify (z**(2/29)*(z/z**(-5/8)*z*z)/z)**(-9) assuming z is positive. z**(-5625/232) Simplify (p**(-2/43)*p*((p*p/(((p**(-12)/p)/p)/p))/p)/p)**(-1/8) assuming p is positive. p**(-343/172) Simplify (f**(-3))**33*(f*f**(3/7))**(2/5) assuming f is positive. f**(-689/7) Simplify m**(-16)*m**(-5)*m**(-1)*m/(m**(-2/9)*m) assuming m is positive. m**(-196/9) Simplify j/(j*j**(-7)*j)*j**(-2)/j*(j/(j**2*j)*j*j)**(-19) assuming j is positive. j**3 Simplify (p**(-6/7)*p*p*p*p/(p/(p*p*p**(2/43)*p)))/(p**(-1)*((p**10*p)/p)/p) assuming p is positive. p**(-846/301) Simplify (n**(-2)*n/(n/n**(-4/29)))/(n**(-3/8))**(28/5) assuming n is positive. n**(-11/290) Simplify ((r*(r/r**(-14))/r)/(r/((r/r**(-2/21))/r)))**(-2) assuming r is positive. r**(-592/21) Simplify ((v**(-4))**(2/63))**(-2/149) assuming v is positive. v**(16/9387) Simplify (c/c**(-7/2)*c)/c**(4/3)*(c/(c*c*c**(-1)/c))**(-47) assuming c is positive. c**(-257/6) Simplify c**(-5/12)*c**(2/27)*c**15/(((c**(-21)/c)/c)/c) assuming c is positive. c**(4175/108) Simplify (f/f**(-3))**(2/7)*f**(-9)*f*f**13 assuming f is positive. f**(43/7) Simplify (z**22/((z**(-8/5)/z)/z))/(z*((z**(-12)*z)/z)/z*z)**(-22) assuming z is positive. z**(-1082/5) Simplify (c**5*c*c**(2/33)*c)/(c**(3/7)/(c**18*c)) assuming c is positive. c**(5921/231) Simplify ((k**(2/9)/k)**(-8/9)*k**(-2/35)*k*k*k**5*k)**(1/43) assuming k is positive. k**(24478/121905) Simplify ((g/(g/(g*g**(-2/47))))/(g**(-2/7)*g))**(-1/8) assuming g is positive. g**(-10/329) Simplify (z/z**(-3))**(-45)/(((z*z/(z/(z**(-7)/z))*z)/z*z*z)/z**(-1/3)) assuming z is positive. z**(-526/3) Simplify (r**(-13/4)/(r**(5/7)/r))/(r**21/(r**(-22)/r)) assuming r is positive. r**(-1315/28) Simplify ((h*h**(-1))**(23/5)/(h*h**0)**21)**(-18) assuming h is positive. h**378 Simplify (b**9/b)/(b**(-14/3)*b)*b**(-10)*b**(-12)/b*b assuming b is positive. b**(-31/3) Simplify (((r/(r**7/r))/r**(2/9))/((r/r**(2/9))/(r/r**(2/9))))**14 assuming r is positive. r**(-658/9) Simplify (((t**(-2/123)/t)/t)/((t/t**(6/5))/t))/((t/(t**(16/5)*t)*t*t)/t**(-29)) assuming t is positive. t**(-17599/615) Simplify (((g*(g/(g/(g/g**(-6))))/g*g)/g*g*g**(3/5))**(2/143))**13 assuming g is positive. g**(86/55) Simplify (((w/w**(4/13))/(w/(w/(((((w*w**(12/11)*w)/w)/w*w)/w)/w)*w)))**(-20))**(2/29) assuming w is positive. w**(-9160/4147) Simplify (s**(-5))**(2/99)/(s**(-1/26)/(s/s**(-6/7))) assuming s is positive. s**(32335/18018) Simplify ((p**9/(p
{ "pile_set_name": "DM Mathematics" }
placement from {d: 2, n: 1, u: 7, r: 7}. What is prob of picking 2 r? 21/136 Three letters picked without replacement from ggpgppp. What is prob of picking 3 g? 1/35 Four letters picked without replacement from cmcpppcmcccc. What is prob of picking 1 m and 3 p? 2/495 Calculate prob of picking 1 a and 2 y when three letters picked without replacement from appkxppxyapkkpykx. 1/340 Two letters picked without replacement from {b: 2, r: 1, j: 2, h: 4, n: 2, d: 3}. Give prob of picking 2 d. 3/91 Two letters picked without replacement from {y: 10, t: 2, g: 1, s: 1}. What is prob of picking 1 t and 1 s? 2/91 Two letters picked without replacement from {u: 6, i: 12}. Give prob of picking 2 i. 22/51 What is prob of picking 4 k when four letters picked without replacement from {g: 3, k: 9}? 14/55 What is prob of picking 2 f and 1 v when three letters picked without replacement from {v: 2, j: 4, c: 2, f: 4}? 3/55 Three letters picked without replacement from oriririirji. Give prob of picking 2 i and 1 j. 2/33 Calculate prob of picking 1 g and 1 d when two letters picked without replacement from fggpxdpdpd. 2/15 What is prob of picking 1 s and 2 q when three letters picked without replacement from {k: 2, q: 5, p: 4, s: 4}? 8/91 Calculate prob of picking 2 s and 1 a when three letters picked without replacement from savvavsavavvss. 6/91 Two letters picked without replacement from {z: 3, v: 2, i: 10, e: 1, f: 1, l: 2}. What is prob of picking 1 v and 1 i? 20/171 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from voovo. 3/5 What is prob of picking 2 h and 1 q when three letters picked without replacement from qhqhqqmqh? 5/28 Two letters picked without replacement from occfccsf. What is prob of picking 1 o and 1 f? 1/14 Calculate prob of picking 3 o when three letters picked without replacement from ppoouprrppopnp. 1/364 Three letters picked without replacement from {c: 2, w: 1, k: 1, i: 1, t: 1, b: 1}. What is prob of picking 1 t, 1 i, and 1 w? 1/35 Three letters picked without replacement from jhzljlnh. Give prob of picking 1 n, 1 z, and 1 l. 1/28 Three letters picked without replacement from {w: 7, c: 1}. What is prob of picking 1 c and 2 w? 3/8 Two letters picked without replacement from {n: 6, g: 1, e: 2, y: 5, w: 5}. What is prob of picking 1 n and 1 y? 10/57 What is prob of picking 1 p, 1 l, and 1 x when three letters picked without replacement from plxapnllnn? 1/20 What is prob of picking 1 q and 3 j when four letters picked without replacement from {r: 5, j: 1, q: 3}? 0 Calculate prob of picking 1 x and 2 r when three letters picked without replacement from xppduurdpu. 0 Calculate prob of picking 2 v and 2 m when four letters picked without replacement from vvmvvmmnzvvnxvvm. 6/65 What is prob of picking 2 q when two letters picked without replacement from bcjgq? 0 Two letters picked without replacement from {m: 6, h: 2, e: 5}. Give prob of picking 2 h. 1/78 Calculate prob of picking 2 n, 1 d, and 1 l when four letters picked without replacement from ldndnnnvdnnnndlv. 8/65 Two letters picked without replacement from scpgsspcggs. What is prob of picking 2 g? 3/55 Three letters picked without replacement from {c: 1, w: 3, l: 1, m: 2}. What is prob of picking 1 m, 1 c, and 1 l? 2/35 What is prob of picking 1 w and 1 s when two letters picked without replacement from vbsbfwsv? 1/14 Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {e: 1, p: 5, j: 3, a: 2, m: 3, h: 1}. 1/21 Calculate prob of picking 2 v and 1 k when three letters picked without replacement from vvvvvvvvvvvvk. 3/13 Four letters picked without replacement from maaammmmfmmaaaaoafa. What is prob of picking 2 m and 2 a? 63/323 Two letters picked without replacement from wfffffffffulf. Give prob of picking 1 l and 1 w. 1/78 What is prob of picking 1 j and 1 e when two letters picked without replacement from eejtmatb? 1/14 Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, x: 3}. 1/20 Calculate prob of picking 4 s when four letters picked without replacement from spskkkkkkskkshsskkcs. 7/969 Calculate prob of picking 1 y, 1 u, and 1 n when three letters picked without replacement from utppypuuzznuzpzup. 1/136 What is prob of picking 2 z and 1 r when three letters picked without replacement from zzjjzrzzjj? 1/12 Two letters picked without replacement from {o: 2, e: 3, b: 1, s: 6, y: 1}. Give prob of picking 1 o and 1 y. 1/39 Two letters picked without replacement from {r: 2, n: 5, w: 5, h: 1, i: 2, a: 5}. Give prob of picking 2 i. 1/190 Two letters picked without replacement from fcc. Give prob of picking 1 f and 1 c. 2/3 What is prob of picking 1 j and 1 n when two letters picked without replacement from {h: 1, j: 1, n: 1}? 1/3 Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, l: 1}. 1/2 What is prob of picking 1 u, 1 l, and 1 h when three letters picked without replacement from {h: 2, k: 1, p: 1, v: 1, u: 1, l: 2}? 1/14 Four letters picked without replacement from fffttfttftfff. Give prob of picking 4 f. 14/143 Three letters picked without replacement from {y: 5, j: 1, f: 7}. What is prob of picking 1 j and 2 f? 21/286 Two letters picked without replacement from {v: 7, c: 2, f: 4, h: 1, b: 5, o: 1}. Give prob of picking 2 c. 1/190 Four letters picked without replacement from xsms. Give prob of picking 4 m. 0 Three letters picked without replacement from yrxttyyyrmxyyux. Give prob of picking 1 u, 1 r, and 1 t. 4/455 Two letters picked without replacement from {h: 3, g: 2}. What is prob of picking 1 h and 1 g? 3/5 What is prob of picking 1 f and 1 v when two letters picked without replacement from {f: 1, u: 1, t: 2, v: 1}? 1/10 Calculate prob of picking 3 k when three letters picked without replacement from {r: 8, k: 3, f: 2, x: 1, a: 5}. 1/969 Two letters picked without replacement from uvbquequvvtbq. Give prob of picking 1 v and 1 q. 3/26 Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {l: 8, t: 3, n: 6}. 9/68 Calculate prob of picking 3 t when three letters picked without replacement from {t: 6}. 1 What is prob of picking 1 q and 1 w when two letters picked without replacement from {n: 2, z: 1, k: 1, i: 5, q: 2, w: 2}? 2/39 Calculate prob of picking 1 f and 2 w when three letters picked without replacement from fwfwfwf. 12/35 Two letters picked without replacement from {x: 2, z: 4}. What is prob of picking 1 z and 1 x? 8/15 Calculate prob of picking 1 l, 1 g, 1 r, and 1 t when four letters picked without replacement from {t: 1, r: 1, p: 1, l: 1, g: 1}. 1/5 Three letters picked without replacement from uuuuuuuwuuwuuuuwuu. What is prob of picking 3 u? 455/816 Calculate prob of picking 1 l and 2 z when three letters picked without replacement from {a: 2, z: 4, u: 3, l: 2}. 4/55 Two letters picked without replacement from fivivivvfiv. What is prob of picking 1 i and 1 f? 8/55 Calculate prob of picking 4 j when four letters picked without replacement from cjccjjjjccjjjjcc. 9/130 Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {o: 4, f: 1, i: 1, q: 1, b: 2}. 2/9 Three letters picked without replacement from alqqigqiqq. What is prob of picking 2 q and 1 g? 1/12 Two letters picked without replacement from yccyyyyyyy. Give prob of picking 2 c. 1/45 What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 5, n: 1, i: 2, o: 2, q: 2, m: 1}? 5/39 Four letters picked without replacement from gddoioogddgdnnogndgo. Give prob of picking 4 o. 1/969 Two letters picked without replacement from lyiloxp. What is prob of picking 1 x and 1 y? 1/21 Two letters picked without replacement from {c: 1, i: 1, f: 2, q: 2, o: 2}. Give prob of picking 2 o. 1/28 Two letters picked without replacement from {t: 1, n: 2, w: 1, r: 1, a: 2}. Give prob of picking 1 t and 1 r. 1/21 Three letters picked without replacement from jttttjtjjtjtjjtjttj. What is prob of picking 3 j? 28/323 What is prob of picking 1 k, 1 j, and 1 l when three letters picked without replacement from {k: 1, z: 1, j: 1, l: 1, u: 1}? 1/10 What is prob of picking 1 z, 2 r, and 1 p when four letters picked with
{ "pile_set_name": "DM Mathematics" }
0839867? False Does 78 divide 2008365? False Does 34 divide 80731640? True Does 2046 divide 152798604? False Is 870867364 a multiple of 4? True Is 42344113 a multiple of 13? False Is 1839503 a multiple of 3? False Is 3022602461 a multiple of 68? False Does 413 divide 12659276? True Is 15416712 a multiple of 524? False Does 13 divide 3102403720? True Is 1779 a factor of 270234409? False Is 1283 a factor of 10224023? False Is 6 a factor of 28214818? False Does 2882 divide 162222904? False Is 40670590 a multiple of 10? True Does 12 divide 16262136? True Is 67882500 a multiple of 1260? True Is 766680732 a multiple of 3149? True Is 26 a factor of 421094553? False Does 1645 divide 4794632? False Is 39495126 a multiple of 91? False Is 621620568 a multiple of 2088? True Does 8 divide 30312131? False Does 3 divide 222257454? True Is 47294505 a multiple of 435? True Does 19 divide 20196364? False Is 25 a factor of 2370300? True Does 36 divide 1365536880? True Does 65 divide 89935449? False Is 683909894 a multiple of 8? False Does 24 divide 2147195856? True Is 99774114 a multiple of 11? True Is 30 a factor of 104000880? True Is 70340181 a multiple of 37? False Does 2004 divide 252858708? True Is 35 a factor of 89127010? True Is 1173768 a multiple of 3? True Does 451 divide 26643370? False Is 2989 a factor of 199305825? False Is 545 a factor of 191553385? False Is 50840460 a multiple of 45? True Is 129 a factor of 2184206485? False Is 13682909 a multiple of 17? True Is 982 a factor of 117041642? False Is 128802829 a multiple of 391? True Is 46864345 a multiple of 26? False Does 13 divide 532465987? False Is 62898731 a multiple of 283? True Is 73697616 a multiple of 29? False Is 39 a factor of 1352119? False Is 4065633 a multiple of 13? True Does 52 divide 12400613? False Is 237871242 a multiple of 39? False Is 787021942 a multiple of 5176? False Does 15 divide 1499900850? True Does 589 divide 187098526? False Is 7 a factor of 3084113963? True Is 15950172 a multiple of 17? False Is 129649112 a multiple of 12? False Is 933 a factor of 30578142? True Does 1033 divide 713838? False Is 38976275 a multiple of 932? False Does 50 divide 2636950? True Does 13 divide 25297688? True Does 153 divide 9137313? True Is 25114677 a multiple of 623? False Is 68 a factor of 959851172? False Does 36 divide 25812457? False Does 17 divide 573608424? True Is 477416268 a multiple of 798? True Is 791811306 a multiple of 338? True Is 5089 a factor of 264984230? True Is 1046891510 a multiple of 265? True Does 7 divide 3910445? True Does 39 divide 199491201? True Is 6815 a factor of 2088994755? False Is 765 a factor of 3077523855? True Is 81 a factor of 17950815? True Does 323 divide 3341995523? False Is 291 a factor of 12562179? True Does 1354 divide 965759456? True Is 291 a factor of 65356344? False Is 2632278897 a multiple of 1932? False Is 175513640 a multiple of 3902? False Is 20256656 a multiple of 17? True Is 25525080 a multiple of 90? True Is 1357 a factor of 38133165? False Does 1908 divide 209780784? True Is 17934064 a multiple of 16? True Is 1068 a factor of 285029976? True Is 17202307 a multiple of 3? False Is 2570316 a multiple of 105? False Is 855230432 a multiple of 38? True Is 30 a factor of 3866988? False Does 21 divide 86592989? False Does 18 divide 80403842? False Does 5211 divide 235203696? True Does 1255 divide 220355410? True Is 13 a factor of 234829627? False Is 87605764 a multiple of 827? True Is 26 a factor of 204550190? True Is 23 a factor of 254030891? False Does 40 divide 3872520? True Is 14 a factor of 1124041604? True Is 1012824674 a multiple of 34? True Does 355 divide 52619784? False Is 1405801265 a multiple of 5? True Is 31 a factor of 86938594? False Is 2 a factor of 44874080? True Is 813 a factor of 50660469? True Is 10 a factor of 980776460? True Does 2324 divide 43613633? False Is 1115 a factor of 34995414? False Is 3143 a factor of 1612280425? True Is 27941904 a multiple of 366? True Is 25 a factor of 166265800? True Is 21038098 a multiple of 308? False Does 896 divide 23168768? True Is 4010 a factor of 5141771221? False Is 344 a factor of 6336107? False Does 256 divide 75597312? True Is 326675980 a multiple of 30? False Is 6524448 a multiple of 168? True Is 219 a factor of 765869061? True Is 332 a factor of 55701300? True Is 64 a factor of 3105917586? False Is 85 a factor of 547318740? True Is 46968352 a multiple of 29? False Does 260 divide 318583249? False Is 6 a factor of 241098696? True Is 5 a factor of 401011237? False Does 3 divide 1302270540? True Is 21 a factor of 82511478? True Is 8496576 a multiple of 22? True Is 33 a factor of 490670400? True Is 129 a factor of 281723487? True Is 162023220 a multiple of 1143? False Does 61 divide 50650324? False Is 21 a factor of 37059120? True Is 16157001 a multiple of 799? False Is 200 a factor of 9247600? True Is 23196534 a multiple of 119? False Does 386 divide 195123833? False Is 93 a factor of 7860517? False Is 32 a factor of 28798688? True Does 467 divide 436967697? True Does 13 divide 45927544? True Is 65432328 a multiple of 288? False Does 75 divide 12586500? True Does 1188 divide 4909744683? False Is 12 a factor of 105714096? True Does 6 divide 833684727? False Is 247 a factor of 99114925? True Does 11 divide 2242768? True Is 10299073 a multiple of 10? False Is 380 a factor of 317868860? True Is 4819340456 a multiple of 336? False Is 7190853890 a multiple of 110? True Is 19 a factor of 348825943? False Does 216 divide 48784896? True Is 5018422 a multiple of 63? False Is 553432980 a multiple of 12? True Is 2387 a factor of 113344858? False Is 571 a factor of 85436446? True Does 510 divide 20597059? False Is 210764911 a multiple of 68? False Is 654 a factor of 147167004? True Is 1703115340 a multiple of 294? False Is 4767504 a multiple of 4? True Is 41429226 a multiple of 647? False Is 972 a factor of 5275561? False Is 714 a factor of 379588104? True Does 91 divide 753308101? True Is 2 a factor of 82005852? True Is 113926110 a multiple of 143? False Does 270 divide 36805727? False Is 51508803 a multiple of 18? False Is 69730038 a multiple of 1314? True Is 1072 a factor of 1338981600? True Is 34211752 a multiple of 1819? True Does 32 divide 2609718982? False Does 98 divide 553900908? False Is 105008694 a multiple of 34? True Is 237 a factor of 150140941? False Does 524 divide 55423030? False Is 169537362 a multiple of 487? True Is 842778475 a multiple of 2685? False Is 8802508 a multiple of 15? False Is 25 a factor of 475754119? False Is 689101682 a multiple of 212? False Does 5 divide 35378942? False Does 3144 divide 98341176? True Is 2550 a factor of 516173550? True Is 55346186 a multiple of 8? False Is 45 a factor of 17883135? True Does 52 divide 2027689560? True Is 726945800 a multiple of 24? False Is 30773673 a multiple of 818? False Does 1767 divide 1290523929? False Is 797004 a multiple of 16? False Is 150 a factor of 10143600? True Is 24373965 a multiple of 33? True Is 359833151 a multiple of 619? False Is 350610720 a multiple of 3? True Is 115 a factor of 11723100? True Is 2628690 a multiple of 2? True Is 169 a factor of 517477467? False Is 2337340515 a multiple of 121? False Is 11193255 a multiple of 332? False Is 26264330 a multiple of 28? False Does 633 divide 629531160? True Is 1654350 a multiple of 150? True Is 76931256 a multiple of 3491? False Is 1416 a factor of 904018454? False Does 3906 divide 343513170? True Is 469850138 a multiple of 28? False Is 3348048 a multiple of 68? True Is 1997062 a multiple of 3? False Is 80572800 a multiple of 6600? True Is 98405299 even? False Is 6845022 a multiple of 163? True Is 60234788 a multiple of 19? True Does 555 divide 41081617? False Is 82581644 a multiple of 5? False Is 451 a factor of 1818883? True Is 23 a factor of 601717398? True Is 60872640 a multiple of 192? True Is 1765 a factor of 1619096275? True Is 393703245 a multiple of 2535? True Is 363816360 a multiple of 196? False Is 321 a factor of 13313156? False Is 135342000 a multiple of 40? True Is 28418275 a multiple of 8? False Does 363 divide 6258559? False Is 99364320 a multiple of 880? True Is 141 a factor of 33393735? True Is 61095092 a multiple of 1935? False Is 557 a fa
{ "pile_set_name": "DM Mathematics" }
3 + 1 + 1 + (-2 - 1 + 4)*(0 + 3 - 2)). 2*p Expand -2*t - 2*t + 3*t - t + 3*t + 0*t + (3 - 3 - 1)*(-3*t + 0*t + t) - 9*t + 20 - 20 + (-2 + 3 - 3)*(-1 + t + 1). -8*t Expand (2*q**4 - 4*q**4 + q**4)*(3 + 3*q - 3)*(0 - 1 + 3). -6*q**5 Expand -2 - b**2 + 2 + 2*b**2 + 1 - 1 + 0*b**2 + b**2 - 2*b**2 + (-5*b + 0*b - b)*(b - 2 + 2). -6*b**2 Expand (1 + 1 - 3 + (-3 - 3 + 7)*(3 + 0 - 5))*(2*k + 0*k + 3*k). -15*k Expand 2*z + 2 - 2 + (3*z - 2*z + z)*(-18 + 11 + 14) + 0 + 0 - z. 15*z Expand (-2*b**2 + 5*b**2 - 2*b**2)*(b + 2*b - 2*b) + 3*b**3 - 4*b**3 + 5*b**3 + 3*b**3 + b**3 - 2*b**3. 7*b**3 Expand -352*o**4 + 352*o**4 + 33*o**5 + (0*o**2 + o**2 - 2*o**2)*(-3*o**3 + 5*o**3 + 0*o**3). 31*o**5 Expand (-5*o + 1 - 1)*(-6*o**2 - 2*o**2 + 5*o**2). 15*o**3 Expand (2*g + 0*g + 2*g)*(-3*g**3 + 2*g - 5*g**2 - g**2 + 4*g**2). -12*g**4 - 8*g**3 + 8*g**2 Expand (33 + 6 + 10)*(0*j + 2*j - 3*j + 2 - 2 + j - 2*j - j + 2*j + (3 - 5 + 3)*(-j + 4*j - 5*j)). -147*j Expand (4 - 4 - a**2)*(-4*a**2 + 3*a**2 - a**2 + (-4 + 4 + 2*a**2)*(12 - 5 - 3)). -6*a**4 Expand (-v - 4*v - 11*v)*(v**3 - 2*v**2 - 2*v**3 + 8*v**3 + (-2*v**2 - 2*v**3 + 2*v**2)*(2 - 5 + 2)). -144*v**4 + 32*v**3 Expand (h**3 + 0*h**3 - 2*h**3)*(-1 - 1 + 3)*(-25*h + 83*h - 34*h). -24*h**4 Expand (23 - 23 - 3*i**2)*(0 + i + 0) + i**3 - 6*i**3 + 3*i**3. -5*i**3 Expand (-2*m + 2*m + 2*m)*(4 - 3 + 2 + 2*m) + (2 + 2 - 3)*(-3*m + 3*m + m**2). 5*m**2 + 6*m Expand (-3*f**4 + 4*f**4 + 3*f**4)*(0 - 2 + 0) - 2*f**4 + 2*f**4 + f**4. -7*f**4 Expand 3*x**2 - x**2 + 0*x**2 + (-x**2 + 0 + 0)*(4 + 0 - 3) + 4*x**2 + 3*x**2 - 5*x**2 - 3*x**2 + 2*x**2 - x**2 + (-2 - x + 2)*(4 - 4 + 6*x). -5*x**2 Expand (4*y + 0*y + 0*y)*(-4*y**4 + 3*y**4 + 2*y**4) - 4*y**3 + y**5 + 4*y**3. 5*y**5 Expand (0*m**2 + 0*m**2 - m**2)*(-5 + 5 - m)*((2*m - 2*m + m)*(0 + 4 - 6) + (2*m - 3*m + 3*m)*(2 - 3 - 1)). -6*m**4 Expand (-2 - 2 + 2)*(b**3 + 2*b**3 - 4*b**3) + 0*b**3 - 4*b**3 - 4*b**3. -6*b**3 Expand (0 + 0 - b)*(-1 - 3 + b - 4). -b**2 + 8*b Expand (-2*l + 5*l - 2*l)*(-3*l - l + 5*l) + (-4*l + 0*l + 3*l)*(1 + 4 - 2)*(l + 0*l - 2*l). 4*l**2 Expand (4 + 0 - 2)*(7 + 1 - 4 + 3*l). 6*l + 8 Expand (-3 + 2 - 2)*(-i**2 + 6*i**2 + 4*i**2)*(2*i**2 + i - i). -54*i**4 Expand (3*i - 4*i + 14*i)*(-2 - 3*i + 2). -39*i**2 Expand (3 - 5 - 1)*((0 + 0 - 4*s)*(-1 + 2*s + 1) - 4*s**2 + 2*s**2 + 0*s**2). 30*s**2 Expand (-1 + 1 + 1)*(-3 + 3 - 2*m) + m - 2 + 2 + (-2 + 2 + 4)*(0*m - 5*m + 4*m) - m - 3*m + 3*m - 2*m + 1 - 1. -8*m Expand (-2 + 2*r + 2)*(-5 - 8 - 5) + (r + 2*r - 4*r)*(-2 + 1 + 0). -35*r Expand (-5*o + 5*o - o)*(3 + o - 3 + 5*o + 0*o - 4*o + (2*o + 3*o - 7*o)*(-2 + 0 + 1)). -4*o**2 Expand (0*f**2 + 0*f**2 - 4*f**2)*(-2*f**3 + f**3 + 0*f**3) + (2*f**2 + 8*f - 8*f)*(-4*f + f**3 + 4*f). 6*f**5 Expand (-2*w**2 - w**2 + 5*w**2)*(-23*w - 9*w + 9*w). -46*w**3 Expand (5*l + 0*l - l)*(-l**4 + 6*l**4 - 3*l**4) + 2*l**2 - 4*l**5 - 4*l**2 + 2*l**5. 6*l**5 - 2*l**2 Expand (2 - 2 - k**2)*(6*k - 5*k - 3*k + (-2 + 3 + 4)*(0 + 2*k + 0) + k - 3*k + k). -7*k**3 Expand 5*c**2 - 3*c**2 + 4*c**2 + (-5*c + c + 2*c)*(c - 6*c + 4*c). 8*c**2 Expand -5*r + 4*r - r**4 + 0*r**4 + (9*r**3 + 18*r**3 - 8*r**3)*(-r + 3 - 3). -20*r**4 - r Expand (0*s**2 + 5*s**2 - 3*s**2)*(-10 + 116*s - 266*s + 129*s). -42*s**3 - 20*s**2 Expand (10 + 4*r - 4 - 4)*(1 - 1 - r**3) + 4*r**4 - 2*r**4 - r**4. -3*r**4 - 2*r**3 Expand (-2*o**2 + 0*o**2 - o**2)*(-2*o + 0*o + 3*o). -3*o**3 Expand (-3*y + 3*y + 3*y)*(7*y + 8*y - 12*y + 14*y). 51*y**2 Expand a**3 - a**5 - 2*a**2 + 2*a**2 + (-a - a + a)*(-4*a**4 - 2*a**4 + 5*a**4) - 2*a**5 + a**5 - a**5 - 2*a**5 - a**5 - 8*a**5. -13*a**5 + a**3 Expand (-8*u - 2*u + u)*(0 + 3 - 2) + 18 - 18 + 7*u. -2*u Expand (-4*f**2 + 4*f**2 - f**3)*(4*f - 2*f - 5*f)*(4 - 2 + 1). 9*f**4 Expand (-3 - 1 + 2)*(-3*w**2 + 4*w**2 + w**2)*(-w + 4 - 3 - w). 8*w**3 - 4*w**2 Expand (6 + 0 + 1)*(5 + 0 - 3)*(0*m**2 - 3*m**2 + 2*m**2). -14*m**2 Expand -j**2 - 2*j**4 + j**2 + (0*j + 0*j + 2*j**2)*(-j**2 - 3*j + 3*j) - 7*j**2 + 3*j**4 + 7*j**2. -j**4 Expand (3*z + 2*z - 2*z)*(-1 + 2*z + 2 + 0)*(0 + 0 - 3). -18*z**2 - 9*z Expand (-21*c + 21*c + 9*c**4)*(-c + 3*c + 0*c). 18*c**5 Expand (-7*h**2 + 2*h**2 - 2*h**2)*(-2*h + 2*h - h) - 2*h**3 - 2*h + 2*h. 5*h**3 Expand -a + 0 + 0 - 3 + 3 - a + 3*a + 3*a - 4*a + 2*a + 3*a - 6*a + (3 + 3 - 4)*(a - a - 2*a) + 2*a - a + a + 2*a + 2*a - 5*a - 2*a - 101 + 101. -6*a Expand (-1 + 3 - 4)*(4*j - 6*j - 2*j + 2). 8*j - 4 Expand x**3 - 4*x + 4*x + (3*x**2 - 2*x**2 - 2*x**2)*(-1 - x + 1). 2*x**3 Expand (v - 2*v**2 + v - 2 + 0)*(0*v**2 - 3*v**2 + 2*v**2). 2*v**4 - 2*v**3 + 2*v**2 Expand 2*k**3 + 2*k**3 - 2*k**3 + (2*k + 1 - 1)*(2*k**2 - 2 + 2) - 3*k**3 - 3*k**3 + 5*k**3. 5*k**3 Expand (24*v + 9*v - 3*v)*(-v + v - v**3). -30*v**4 Expand (-1 - 2 - 2)*(-1 - a**3 + 1)*(2*a - 4*a + a). -5*a**4 Expand (0*m**2 + 0*m**2 + m**4 - 4*m**4 + m**4 + 4*m**4 + (-3*m**3 + 2*m**3 - m**3)*(2*m + 5 - 5) - m**4 - 2*m**4 + 2*m**4)*(7*m + 0*m - 3*m). -12*m**5 Expand (-3*h + h + 0*h)*(-29*h**2 + 595 - 595). 58*h**3 Expand (-1 + 3 - 1)*(-4 + 4 - o)*(5 + 7*o - 5). -7*o**2 Expand (1 + 2 - 4)*(-1 - 2 + 4)*(-1 - 6 + 5)*(2*h - h - 2*h). -2*h Expand (3 + 3 - 7)*(-2 + 0 + 0)*(4*v - 13*v - 27*v). -72*v Expand (-m - m + 3*m)*(5*m - 6*m + 2*m) + 4*m**2 + 5*m**2 + 2*m**2 - 2*m**2 + 3*m**2 - 2*m**2. 11*m**2 Expand (p**2 + 1 - 1)*(-15 + 6 - 2). -11*p**2 Expand (5 + 4 - 4*m + 3)*(2*m + 4*m - 4*m). -8*m**2 + 24*m Expand (6*p**3 + p**3 - 4*p**3)*(0*p - 2*p + 3 + 3*p). 3*p**4 + 9*p**3 Expand (3*v + 3*v - 5*v)*(-2*v + 4 + 2 - 2). -2*v**2 + 4*v Expand (1 - 5 + 0)*(-8*c + 0*c + 6*c). 8*c Expand (6*z**2 - 2*z**2 - 3*z**2)*(-6 + 5*z**2 + 6) + (4*z - 2*z + 0*z)*(0*z + 2*z**3 + 0*z). 9*z**4 Expand -3*t + 3 - 3 + (-2*t + t + 2*t)*(1 + 2 - 1) - 2*t + 5*t - 2*t + 1 - t - 1 + 5*t + t - 3*t + 3*t + 2*t - 3*t. 4*t Expand (2*i**4 - i**2 + i**2)*(4*i - 3*i + 0*i - 3). 2*i**5 - 6*i**4 Expand -2*f - 1 + 1 + (-1 + 1 - 2)*(13*f + 35 - 35). -28*f Expand -u**2 + u**2 + 2*u**2 + (0*u - u + 2*u)*(2*u + 0 + 0) + 2 - 2 + 2*u**2 + (u + 1 - 1)*(-8 - 13*u + 8). -7*u**2 Expand (-d + 2 - 2)*(65 - 90 - 145). 170*d Expand (-2 + 0 + 1)*(3 - 5 + 1)*(-9 - 13 + 26)*(3*k - 4*k - 4*k). -20*k Expand (-3 + 1 + 1)*(17*v + 11*v - 3*v). -25*v Expand (2*j**2 + 4*j - 4*j + (0 + 0 - 2*j)*(-1 + 2*j + 1) - j**2 + 4*j**2 - 5*j**2)*(-4*j**3 + 5*j**3 - 3*j**3). 8*j**5 Expand -l**5 - 2*l**4 + 2*l**4 + (2*l**3 + 1 - 1)*(-5*l + 2*l**2 + 5*l) + 3*l**5 - l**5 + 0*l**5. 5*l**5 Expand 0*x + x - 2*x + (-5 + 4 - 1)*(-1 - x + 1) - 5*x + 0*x + 3*x + (-2*x - x + x)*(-3 + 3 - 1). x Expand -z**4 - 1 + 1 + (-4 + 3 + 2)*(34 + 4*z**4 - 34). 3*z**4 Expand (2*m - 3*m - m)*(-1 - 2 + 2)*(-3 - 6 + 5). -8*m Expand (-j**2 + 6*j**2 - 3*j**2)*(-5*j + 17*j - 6*j) + (0*j**2 + j**2 + j**2)*(-2*j - 3*j + 3*j). 8*j**3 Expand -2*z**5 + 0*z**5 - z**5 + 3*z**3 - z**5 - 3*z**3 + (2*z**2 - 10*z**2 + z**2)*(0*z**3 + 3*z**3 - z**3). -18*z**5 Expand (4*t**2 - t**2 + t**2)*(6*t**3 - t**3 - 4*t**3). 4*t**5 Expand u - 6*u - 3 + 3*u - u**2 + (9 - 9 + 2*u)*(-2*u - 4*u + 2*u). -9*u**2 - 2*u - 3 Expand (1 + 0 + 0)*(-2*t - t + 2*t) + 2*t + 2*t - 5*t. -2*t Expand (-2 - 2 - g + 2)*(4 - 3 + 5*g - 2). -5*g**2 - 9*g + 2 Expand 2*m - 4*m - m - m + 0 + 0 - 2*m + 2*m + 2*m + (-2*m + 0 + 0)*(6 - 1 - 4) - 3*m - m + 2*m - 4*m - 2*m + 3*m + 5*m - 3*m - 4*m. -11*m Expand 3*j**3 - j**3 + 2*j + 0*j + (1 + 2 + 1)*(-2*j**3 + 3*j - 3*j). -6*j**3 + 2*j Expand (-f**3 - 3*f**3 + 2*f**3)*(-3 - f + 3)*(2 + 4 - 7)*(2*f - 1 + 1). -4*f**5 Expand -h**4 + 5*h - 5*h + (-h**2 - 3*h**2 + 5*h**2)*(4 - 2*h**2 - 4) - 2*h**4 - 2 + 2 + (6 + 3*h - 6)*(2 - h**3 - 2). -8*h**4 Expand -d**5 - 2*d**5 + 12*d**5 + (-2*d + 2*d - d)*(2*d**4 - 3*d**4 + 2*d**4) + d**5 - d**5 - 2*d**5. 6*d**5 Expand (3*b - b - b - 1)*(3*b**3 - b**3 - 3*b**3). -b**4 + b**3 Expand g**2 - 8*g + 5*g**4 + 10*g + g**4 + (-2*g**4 + 3*g**4 - 2*g**4)*(3 + 4 - 5). 4*g**4 + g**2 + 2*g Expand (3*z + 4*z - 3*z)*(1 - 1 + 2 + (2 - 4 + 1)*(2 - 2 + 1)). 4*z Expand (-6*k**4 - 34*k + 34*k)*(-3*k - 2 - 2*k + 4*k). 6*k**5 + 12*k**4 Expand (6 - 1 - 2)*(-20*t - 270 + 270)*(t**4 - 3*t**4 + 0*t**4). 120*t**5 Expand (0*b**5 - 2*b**5 - b**5)*(5 - 1 - 2) - 2*b**5 + b**5 + 0*b**5. -7*b**5 Expand (-10*a**4 + 0*a**5 + 17*a**4 + 2*a**5)*(1 - 1 + 1)*(-2 + 4 + 0). 4*a**5 + 14*a**4 Expand (2*y**2 + 0*y + 0*y)*(
{ "pile_set_name": "DM Mathematics" }
cond biggest value in -2/11, 321/8, 49/2717? 49/2717 Which is the smallest value? (a) -1/4 (b) 1/9 (c) 0 (d) -18/7 (e) -26 (f) 0.5 (g) -91/8 e Which is the biggest value? (a) -325 (b) -3 (c) -2960.8 b Which is the biggest value? (a) -2/187 (b) -1034 (c) 0.4 c What is the biggest value in 5482721, -1/2, 2/9? 5482721 Which is the second smallest value? (a) 1.5 (b) 0.6 (c) -2/5 (d) 3 (e) -1/3 (f) -90 c Which is the sixth biggest value? (a) 3 (b) 5 (c) -76/27 (d) -3/5 (e) 1/5 (f) -0.5 (g) 0 d What is the second biggest value in -1/4, 3, 1, 3/5, 241/4, -142/31? 3 What is the second smallest value in 9.8, -7/10, -49, 0.1, 1/9, -4, 0.2? -4 What is the fourth smallest value in -1/5, 0, -3, 5, -1735161, -3/4? -1/5 What is the second smallest value in -3/2, -8052, 1/1124? -3/2 What is the fifth biggest value in -1674, -0.1, -0.17, -3, 3? -1674 Which is the second biggest value? (a) -0.19 (b) 5 (c) 439 (d) -0.4 (e) -8.5 b What is the biggest value in -11/1336, -2, 412? 412 What is the fourth biggest value in 676, 1, -4, -3, -5/6, 0.04, -2/3? -2/3 What is the second smallest value in -4, 38027, -0.2, 3.2, -5? -4 Which is the second biggest value? (a) -11 (b) 28 (c) -3 (d) 13 (e) 3/2 (f) -2 (g) 0 d Which is the biggest value? (a) 19996 (b) 4 (c) 5419 a What is the third smallest value in -79842/629, -1/5, -0.3? -1/5 What is the second biggest value in -0.4, -0.103849, 12? -0.103849 What is the fourth biggest value in 1185, -1/2, 15, 3, -3, 23? 3 Which is the biggest value? (a) -58/197 (b) -5 (c) 0.009 (d) 93 (e) -0.4 (f) -2/9 d What is the smallest value in -0.5, 0.12, 4369, -3, 1, 0.4, 5? -3 Which is the biggest value? (a) 10 (b) 15/2 (c) 2/8457 a What is the sixth biggest value in -19, 0, 4, 5/2, 2/25, 2069.7? -19 Which is the third smallest value? (a) -2/8182691 (b) 5 (c) 0.04 b What is the biggest value in -78, -9475, -7? -7 Which is the second biggest value? (a) -3/2 (b) 0 (c) 28982 (d) -11 b What is the second biggest value in 0, 2/17, 2/3, 0.33, 0.06, 1/47, 5? 2/3 What is the second smallest value in 2, 3/659737, 2/3, -0.4? 3/659737 What is the fourth biggest value in 1.1, -15, 5, 6, 162, 1? 1.1 What is the second smallest value in 2/5, 2/447, 1, 2/1609, -0.4, -21? -0.4 What is the third biggest value in 1.84, -19, 3.1, 2/13? 2/13 What is the biggest value in 0.312, -0.4, 0.02554, 7? 7 What is the fifth biggest value in 0.09, 5, -16, 5/24, -2.69? -16 What is the fifth biggest value in -0.3, 0.093, 49.5, -2/15, -5/2? -5/2 What is the second smallest value in -0.5, -5, 12, 1/5, 24, -0.2? -0.5 Which is the third biggest value? (a) -1/4 (b) 0.25 (c) -0.214 (d) 1 (e) 5 (f) -2 b What is the third biggest value in -9, 496, -9483? -9483 What is the fifth smallest value in -1, 7, 227, -87, -1/3, -0.1, 5? 5 What is the second biggest value in 10, 564, -38, 1/12? 10 What is the second biggest value in -18, 1.2, -47, -0.03, -4? -0.03 What is the second biggest value in -22055, 2/5, -2/6699? -2/6699 What is the fifth biggest value in 2, -0.5, 1/8540, -0.4, 0.06, -2, 49? -0.4 What is the third smallest value in -25/11, 382, 6/5, 0.4, -0.5, 0? 0 What is the fourth smallest value in -2, -8, -740, -23.1? -2 Which is the second smallest value? (a) 3 (b) 17272.6 (c) -0.17 a Which is the smallest value? (a) 2703.5 (b) 6 (c) -1467 c Which is the third smallest value? (a) 5 (b) -4 (c) 0 (d) 24503 (e) -1 (f) -3/5 f What is the third biggest value in 6, 8/69, 231.6? 8/69 Which is the second smallest value? (a) 18/259 (b) -4 (c) 3/16 (d) 0 (e) 46 d Which is the fourth smallest value? (a) 32 (b) -10228 (c) -0.7 (d) 5/3 a What is the third biggest value in -9/3314, 16, 1, 4? 1 What is the second smallest value in 0.3, -2/127, 4985.6? 0.3 Which is the second biggest value? (a) 371/11 (b) 0.3 (c) 4/9 (d) -9 c What is the third smallest value in -14/265, -0.9, -1/3, 1? -14/265 Which is the smallest value? (a) -2/5 (b) -8/5 (c) -0.1 (d) 1 (e) 2 (f) -4 (g) -2/92761 f What is the sixth biggest value in -2, 4, 4/5, -0.5, 0.1167, 8/7? -2 What is the third smallest value in -2/19, -0.1, 0.04, -613/11, -3? -2/19 What is the third smallest value in 2, -45/4, -0.5, -0.06, 30, -4/3, -0.3? -0.5 Which is the second smallest value? (a) 3376 (b) -1867 (c) 0 (d) 14 c What is the smallest value in -1/6, 60114, -3, 1/2? -3 What is the third smallest value in -4, 5, 1.283, 0.1, 0.4, 0.42? 0.4 Which is the biggest value? (a) 2/13 (b) -60/13 (c) -3 (d) -0.1 (e) -12 (f) 2/7 f Which is the seventh biggest value? (a) -0.3 (b) 1/29 (c) -1/3 (d) -4 (e) 0.3 (f) -52 (g) 1 f Which is the fourth biggest value? (a) 27/5 (b) -4 (c) 1/8 (d) -0.411 b Which is the third biggest value? (a) 71 (b) -226/7 (c) -0.075 b Which is the sixth biggest value? (a) -0.05 (b) 45 (c) 4 (d) 1/2 (e) 0.15 (f) -0.5 (g) 28 a What is the second biggest value in 1.7, 0, -5, -53, -69? 0 Which is the fourth biggest value? (a) -2/213705 (b) 0 (c) -5.4 (d) -4 c Which is the biggest value? (a) -5/6 (b) 3 (c) 0.2 (d) -4799 (e) -10 (f) 0.4 b What is the fourth biggest value in 7, -3, -28/181, -21/2? -21/2 What is the third biggest value in 0.5452, 4, 82, 28/9? 28/9 What is the fourth smallest value in 460, -2115, -65, 2? 460 What is the smallest value in 2.8, -9, -15, 30, 0.5, 5? -15 What is the smallest value in -0.02, 3, 0.4, -47, -0.011? -47 What is the third smallest value in 5, 0.2, -46912/23, -2/15? 0.2 Which is the third biggest value? (a) -2/21 (b) -2/3 (c) 3095209 b What is the fourth smallest value in -2/267, -16, -0.2, -19, -0.062, -2, -5? -2 Which is the biggest value? (a) -1/4 (b) -6999 (c) -1/43 c What is the third smallest value in -111, -0.3, 0, 2/5, 51619? 0 What is the second smallest value in 3, 2, 2/13, -4641, 1/5? 2/13 What is the fifth smallest value in -11, 1153, -3, 159, 0.2, 2/23? 159 Which is the second biggest value? (a) -7 (b) -513/98 (c) -2.8 (d) 1/5 c Which is the fifth smallest value? (a) 3/2 (b) -5 (c) 6 (d) 1/28 (e) 217 (f) 0.1 c Which is the third smallest value? (a) 381 (b) -2/5 (c) -22920 a What is the smallest value in 0.51, -5.193, 0.11? -5.193 Which is the biggest value? (a) -3/5 (b) -2 (c) -14.12 (d) 2/3 (e) 5 e Which is the second smallest value? (a) -1 (b) 0 (c) 5 (d) 0.3 (e) 4402 (f) -2/9 (g) 5/2 f Which is the second biggest value? (a) 0.5 (b) -21/17 (c) 5 (d) 0.2 (e) 11 (f) 4/3 c Which is the second biggest value? (a) -90 (b) -0.24 (c) 1/4 (d) -31 (e) -4 b What is the third biggest value in -4, 420, 0.1, 503.9? 0.1 What is the third smallest value in 128015.8, -0.3, -7? 128015.8 What is the smallest value in 314249/30, -1, 0.4? -1 Which is the second smallest value? (a) -6874 (b) -0.07 (c) 18 b What is the biggest value in -2/7, -38, -1, -12/65, 460, 4? 460 Which is the second smallest value? (a) 3 (b) -3/5 (c) -41 (d) 5254 (e) -3 e What is the biggest value in -7371/4, 0, 5/13? 5/13 Which is the second biggest value? (a) -6 (b) 3 (c) 0.3 (d) -0.06275 (e) -0.2 (f) 1 (g) -2/7 f Which is the second biggest value? (a) -115530 (b) 0.4 (c) 147 b Which is the smallest value? (a) -2 (b) -1/60 (c) 2212 a Which is the fifth smallest value? (a) -0.3 (b) 0.27 (c) -2/311 (d) -35 (e) -1 (f) 4 b What is the fifth smallest value in -3, -3/2, 0.4, -0.104, -17, 8? 0.4 What is the second smallest value in -4, 5, 0.5, 1/11, -14, -1/3, -0.195? -4 Which is the smallest value? (a) 57503 (b) -0.2629 (c) 4 b What is the smallest value in 1.1, -0.4, -55908, 2/3? -55908 Which is the third biggest value? (a) -0.11521 (b) 2/11 (c) -4 (d) -0.78 d Which is the fourth smallest value? (a) -0.1 (b) 244.11 (c) 9 (d) 43 b What is the third biggest value in -16, -54751, 0.164? -54751 Which is the fourth smallest value? (a) -2 (b) -3 (c) 4 (d) 706 (e) 11/2 e Which is the sixth smallest value? (a) 1/13 (b) -4 (c) 5 (d) 3 (e) 3/5 (f) -55914 c What is the smallest value in 0, -4, 15608254? -4 What is the third smallest value in -0.5, 2, -556, 5, 1, -18/5? -0.5 Which is the third smallest value? (a) -2 (b) -0.11 (c) 321 (d) 3 (e) 5/2 (f) -1 (g) -2/9 g Which is the fourth smallest value? (a) 5/2 (b) -
{ "pile_set_name": "DM Mathematics" }
) n a Let q = -1.9 + 2.3. Which is the nearest to 2/3? (a) -3 (b) 4/7 (c) q b Let a = -207 - -622/3. Let x = -2642/7 + 378. Let d = 11 - 6. What is the closest to a in d, 0.2, x? 0.2 Let u = -0.7 + 3.7. Which is the closest to 1? (a) -2/5 (b) -5 (c) u a Let j = 4/9 + -11/18. What is the nearest to 2/3 in 2, j, -1? j Let z = 2 - 3.8. Let a = z - -2. Let f = -2 - -2. What is the nearest to -2/7 in -1, a, f? f Suppose -3*o + 5*c + 29 = 0, -4*o + 2*c + 23 = o. What is the nearest to -0.2 in -5, o, -0.2? -0.2 Let s(n) = -n - 7. Let m be s(-8). Let i = -0.1 - -0.5. Which is the nearest to m? (a) i (b) -0.2 (c) -1 a Let u = 11 + -11.2. Let v be 2 - 1 - (0 - 0). Let x = 3 + -4. Which is the closest to x? (a) v (b) u (c) 0 b Let p = 0.1 + -0.4. Let h = -0.6 - p. Which is the nearest to -2/9? (a) h (b) 0 (c) -3 a Let n = 542/5 - 108. Which is the closest to -1? (a) 3 (b) -3 (c) n c Let p = 0.22 - 0.12. Which is the closest to 0? (a) 0 (b) -2/9 (c) p a Let x = 7247/23 - 315. Let z be 4/(-4) - 3/(-9). Which is the nearest to z? (a) 5 (b) x (c) 2 b Let t = 0 - 0. Let j = 0.8 + 0.2. Which is the nearest to 1? (a) 1/7 (b) t (c) j c Suppose -2*r = -4*r + 6. Let g = 1 + 0. Let m be (-5)/25 - g/5. Which is the nearest to m? (a) 0.5 (b) r (c) -2/9 c Let v = -6073/25 - -243. What is the closest to 0.2 in 2/5, v, 0.2? 0.2 Let p = -29/5 + 32/5. Suppose 0 = -3*s + 7*s - 4. Let l be ((-3)/21)/(-2 - -3). What is the nearest to 0 in p, s, l? l Let w = -25 - -18.6. Let o = -7 - w. Let g = o + 1. What is the nearest to 0.2 in g, 1, -2/9? g Let n = -1.1 - -1.1. What is the nearest to -1 in 1/3, n, 4? n Let v(d) be the third derivative of -d**5/60 - d**4/12 + d**3/2 + d**2. Let s be v(-3). Let o = -5 + 5.3. Which is the nearest to s? (a) -2 (b) o (c) -1/3 b Let h be 12/822*2/8. Let a = h + 1089/1918. Let i = 19/21 - a. What is the nearest to i in 0.3, -0.5, 1? 0.3 Let z = 784/9 - 87. What is the closest to 0.3 in -0.2, z, 5? z Let v = 2/14403 + 955397/14403. Let i = v + -67. Which is the nearest to 2/13? (a) 1/3 (b) 2/3 (c) i a Let u = -5/6 - -4/3. Suppose -4 = -3*t - 4*d - 21, -d - 9 = -4*t. Let v = 5.9 - 6. Which is the closest to v? (a) -2/5 (b) t (c) u a Suppose -x + j + 24 = 0, 5*x - 30 = 4*x + 3*j. Let k be (x/(-15) + 1)*2. Which is the closest to -0.1? (a) k (b) 1/9 (c) 1/7 b Let y = 3 - 2. Let t = 4.9 + 0.1. Let n = -5.3 + t. Which is the nearest to 1? (a) y (b) n (c) -1/2 a Let z be (-88)/(-14) - 2/7. Let q be (1 - -1)/(z/27). Suppose 2*g + g + q = 0. Which is the nearest to 2/3? (a) 0.2 (b) g (c) 0.3 c Let j = -5.082 + 0.082. Which is the closest to -1/4? (a) 1.1 (b) j (c) -2 a Let t(j) = -j**3 + 3*j**2 + 3*j + 6. Let r be t(4). What is the closest to -1/4 in r, 3, -0.1? -0.1 Let v(t) = -t**2 + 5*t + 5. Let p be v(5). Let y = 11 + -11. What is the closest to y in p, -4, 0.1? 0.1 Let x = -19.8 + 20. What is the nearest to -1 in x, 2, 0? 0 Let v = 160/7 + -23. Let d = -0.1 + 0. Let l = 54 - 53.5. What is the closest to d in l, v, -0.4? v Suppose 0 = -h - 4*r - 6, -h + 5*r = h + 12. Which is the nearest to h? (a) -2 (b) 0 (c) 4/3 a Let y = -7 - -12. Let z(g) = -g**3 + 5*g**2 + 6*g - 8. Let b be z(6). Let k be (-2)/(-1) - (-18)/b. What is the closest to k in y, 0, 2? 0 Let o = 0.35 + 0.65. What is the closest to o in -0.4, 0.3, 11? 0.3 Let p = -58 + 58. Let z = -1 - -0.9. Which is the closest to z? (a) p (b) -4 (c) -2 a Let j = 3 - 8. Let p = -805.99 - -802. Let m = 0.01 - p. Which is the closest to 1? (a) j (b) -1 (c) m b Let v be 5 - (4235/(-75))/(-11). What is the nearest to -22 in v, -5, -3/5? -5 Suppose -2*k + k = -q - 6, 0 = 5*q + 5*k - 10. Which is the nearest to 1? (a) 1/2 (b) q (c) -4 a Let a be (-6)/39 + (-58)/130. What is the closest to -1 in -2, a, 2/5? a Let s = 0.29 - 0.27. What is the nearest to -2/5 in 1, s, -5? s Suppose 3*l + 15 = 3*g, -6 = -g - 5*l - 31. Suppose -o - 1 = -g*o, -8 = -2*v + 4*o. What is the nearest to 0.1 in 1/7, -2, v? 1/7 Let v be 0/(-2) + (-30)/99. Let p = v - 4/11. Which is the closest to 0? (a) 3/4 (b) 4 (c) p c Let d = -10 - -8. Which is the closest to d? (a) 3 (b) -0.02 (c) -4 b Let x = -4.9 - -0.9. Suppose 1 = -z + 2*h, 1 = -z - 2*h - 0*h. What is the nearest to 2/3 in x, 0, z? 0 Let g = 13.2 - 13. Let x be -3 + 1 + -2 + 3. Let s(u) = -u**3 + 8*u**2 + u - 7. Let j be s(8). Which is the closest to j? (a) x (b) g (c) -1/4 b Suppose 0 = -5*q + 2*k + 12, -5*k + 12 = 2*q - 16. What is the nearest to -1/3 in -1, 2/5, q? -1 Let z = -58.7 - -59. What is the closest to 0.1 in -1/2, z, -0.6? z Let w = 156.06 + -154. Let p = -2.4 + w. Let m = -0.04 - p. What is the nearest to m in -1/4, 1/4, 2? 1/4 Let m = 153 + -151. Let c be 4/(-10) + (-4)/(-5). What is the closest to c in -4, 1, m? 1 Let w = -0.104 + 0.004. Which is the nearest to -1/4? (a) w (b) 3 (c) 1/5 a Let w = -3.3 + 3. Let k = -0.2 - w. Let y = 650/3 + -216. What is the closest to 0 in y, k, 5? k Suppose 0 = -3*f - f + 4. Let w be 14/35 + (-42)/5. Let v be 4 + -2 - w/(-3). Which is the closest to f? (a) v (b) -5 (c) -2 a Let o = 1/7 - -19/14. Let u = 1.7 - 2. What is the nearest to -2/5 in u, o, 2? u Let o be 2/(-9) + (-272)/1530. Which is the closest to 2? (a) o (b) -3 (c) 0 c Let w = 0 - -0.1. Let p = -15 - -14. Which is the closest to w? (a) 2 (b) -2 (c) p c Let k be 1 - (3/(-1))/3. Suppose 4*n - h = -15, k*n + 5*h + 24 + 11 = 0. Which is the closest to -2/7? (a) 4/9 (b) 0 (c) n b Let w = 2 - -2. Suppose 2*o - 6 = -2*y, -4*y = -w*o - 8 - 12. Let m = 3.8 - 3.7. Which is the nearest to m? (a) -1/5 (b) 0 (c) y b Let s = -159/2 - -78. What is the nearest to 2/7 in s, -2/3, -4? -2/3 Let c(i) = -i + 7. Let n be c(11). Let j be (2/(-3))/(n/(-6)). What is the closest to 1 in 0, -4, j? 0 Let a be -2 - 2/(18/(-21)). Let k = 15.1 - 15. What is the closest to a in k, 4/5, -1? k Let v = 6 - 3. Let y = 0.1 - 0.2. What is the nearest to y in 0, -0.4, v? 0 Let s = 233 - 232.8. Let z = -0.5 - 3.5. Which is the closest to z? (a) s (b) -2 (c) -3/5 b Let q = 1 + 0. Let p(n) = 19*n**3 + 2*n**2 - n. Let a be p(q). Let f be (2/a)/(3/(-6)). What is the nearest to -0.3 in 0.4, f, -1/2? f Let k = -0.001 + -2.899. Let q = k - -3. Which is the nearest to 2? (a) 1/4 (b) q (c) -1 a Let p = -0.3 - 0.2. Let a = 2 - 6. What is the closest to 1/4 in p, a, -0.1? -0.1 Let r = 0.76 - 0.06. Let y = r - -0.3. Let u = 4474/13 + -344. Which is the closest to y? (a) -4 (b) u (c) 1/4 c Let x = 10 + -12. Let v = -3 + 2.9. What is the closest to x in -0.2, v, 3/7? -0.2 Let k = -13.7 - -14. What is the closest to 5 in -1/4, k, 0.2? k Suppose 2*x - p = -2*p + 13, 17 = 3*x + p. Let i = -2 - -1.5. What is the nearest to 1/4 in i, 3, x? i Suppose s = 5*u - 5, 0 = -5*u + 2*s - 3*s + 5. Which is the nearest to -0.6? (a) u (b) 4 (c) 5 a Let s = -8.4 + 12.4. Which is the closest to -1/4? (a) -5/6 (b) -2/9 (c) s b Let o be 2/(-3)*63/84. What is the nearest to 1/10 in 0.3, o, 3/5? 0.3 Let z = 1.01 - 1.11. Which is the nearest to z? (a) 0 (b) 2 (c) 10 a Let x = -18.93 - 0.07. Let a = -27 - x. What is the closest to 1/4 in 0.4, -4, a? 0.4 Let p = -1 + 5. Which is the closest to 0? (a) p (b) -5 (c) -3 c Let v(r) = r. Let i be v(6). Suppose 0 = 2*l - i - 4. What is the closest to -1 in 3, -0.1, l? -0.1 Let h be 80/140 + 36/(-14). Let z = 0.8 - -0.4. Let p = z - 0.2. Which is the closest to p? (a) h (b) -1/10 (c) -2/7 b Let m be 5*(-1 - 54/(-50)). Suppose -w + 1 + 0 = l, 0 = 2*l - 5*w + 19. Let r be (-10)/4 + (0 - l). Which is the closest to -0.1? (a) m (b) r (c) -1 b Let h = 9 + -6. What is the closest to 1/2 in 0.4, h, 4? 0.4 Let b = -1.7 - -0.7. Let s = -1.1 + -2.9. Let h = 2.8 - 3. What is the nearest to b in 3/5, s, h? h Let l be ((-2)/(-10))/(2/(-4)). What is the nearest to l in 1/3, 2/5, -0.5? -0.5 Suppose -4*m - m - 4*a = 5, 0 = 2*m + 2*a + 2. Suppose -3*u = 2*o + 3*o + 49, u = 3*o + 21. Let n = -5 - o. What is the nearest to m in n, -0.5, 0? -0.5 Let p be 10/12*8*(-1)/(-30). Which is the nearest to 100? (a) 2 (b) p (c) -5 a Let j = 14.1 - 14. What is the nearest to 0.3 in j, -2/11, -0.2? j Let x = -4.073 + -0.027. Let f = x + 4. What is the closest to f in 2/7, 1/8, -4? 1/8 Let s = -32 + 65/2. What is
{ "pile_set_name": "DM Mathematics" }
ppose -34*n + 5*n = 3*n - 128. Solve -26*s = n*s - 180 for s. 6 Suppose -3*o + 26 = -2*h, 0 = 2*o + 2*h - 1 - 3. Suppose 4*u + 20 = -2*b, 5*b - 2*u = -o + 16. Suppose -6 - 9 = -5*a. Solve b = 3*j - 0*j - a for j. 1 Let b(h) = h**2 - 6*h - 16. Let y be b(-5). Let d = -14 + y. Solve -d = 10*c - 5*c for c. -5 Let a(s) = -15*s**2 + s**3 + 5 + 6*s**2 + 13*s**2. Let l be a(-4). Solve l*w = -11 + 1 for w. -2 Suppose -5*t + f + 31 = 0, 13 = 2*t - f - 0. Solve -43*u + 343 = t*u for u. 7 Let r be (2 + 2 + -5)*-28. Suppose 8*k - 4 - r = 0. Solve 10*l - 9*l = -k for l. -4 Let c(g) = 87*g - 5630. Let y be c(66). Solve 13*i = 29*i - y for i. 7 Let z(x) = -x**3 + 8*x**2 + 34*x - 163. Let o be z(6). Solve 0 = -8*s - o + 65 for s. -6 Let c = 4447 + -4495. Suppose -n - 2*u + 49 = 0, 5*n - u - 129 = 116. Let w = c + n. Solve -p = 2 - w for p. -1 Suppose 24*z - 77 - 94 = 5*z. Suppose 0*y + 3*y = -3. Let k = 5 + y. Solve z*l = k*l - 15 for l. -3 Suppose -432 = -15*v + 7*v. Let n = v - 32. Let r be 8*(3 - n/8). Solve 0 = -0*x + r*x for x. 0 Let t be (-50)/125*20 - (-11 + 0). Solve t*g + 24 - 42 = 0 for g. 6 Suppose p - 30 = -2*p. Let h = -105572 + 105581. Solve h*s - p*s = -1 for s. 1 Let b be (5/(-5))/((-1)/3). Let v be ((-20)/(-3))/(1/b). Let m be 13244/1694 + 2/11. Solve -m*f + v = -3*f for f. 4 Let x(g) = -3*g**2 - 40*g - 27. Let b be x(-7). Solve -12*q = 130 - b for q. -2 Let h be (11 - 0)*(2 - -32). Solve 0 = -2*s + 360 - h for s. -7 Suppose -12*v + 7*v - 15 = 0. Let s be 15 - (v*2 + 3). Suppose 5*x + 3*q - 3 = -2, -s = -3*x + 4*q. Solve -x*p + 5 = -3*p for p. -5 Suppose 2*u + 255 = 20*u - 3*u. Solve 13*t - 61 - u = 0 for t. 6 Let w(j) = j**2 - 4*j + 3. Let q be w(4). Suppose -4*b = 5*l - l + 4, -13 = -q*b + 5*l. Let m(k) = 339*k - 1694. Let f be m(5). Solve -2*u = b + f for u. -1 Let l = -190 - -172. Let o(w) = -5*w - 88. Let n be o(l). Solve 0 = -5*x - 17 + n for x. -3 Let u be 7/(196/175) - 2/8. Suppose -f - 3*q + 2 = 0, -u*f + 3*f - 8 = 2*q. Let k be 5/(9/(-6) - f). Solve 10 = 4*d - k*d for d. 5 Suppose 32*l + 2*o = 31*l + 222, -5*l + 5*o = -1065. Solve -20*z + l = 34*z for z. 4 Let g = -178 - 119. Let p = g + 300. Let u = -12 - -17. Solve p = -u*r - 2 for r. -1 Let z = 91 - 164. Let j = z + 75. Suppose 0 = 5*t + j*i - 28, 4*t + 0*t - i - 12 = 0. Solve -n = -0*n + t for n. -4 Suppose y = -a + 230, -3*y - 12*a + 14*a = -730. Solve y*k - 247*k - 63 = 0 for k. -7 Let q = 23 + -23. Let c be q + -9 + 2/(2/(-3)). Let o be ((-27)/c)/3 + 13/4. Solve 3 = o*u - u for u. 1 Let r(i) = -3*i**2 - 16*i + 7. Let x be r(0). Solve x*k = 3*k + 20 for k. 5 Suppose 71*t - 1565 = -331*t + 89*t. Let o = 2 - -2. Let x be (-7)/(-3) + o/6. Solve -t*n - x = 2 for n. -1 Let p(f) = -f**2 - 9*f + 2. Let w be p(-9). Let y = -427 + 427. Suppose y = -5*r - 5*u + 15, 10*r - 14*r = -3*u - 5. Solve w = -r*s - 0 for s. -1 Let n be (3/5)/((-33)/(-165)). Suppose 3*x - 3*m = 2*m + 16, 4*x - n*m - 25 = 0. Solve -4*c - 27 = -x for c. -5 Let y(i) = -i**3 - 5*i**2 - 7*i + 12. Let q be y(-4). Let m be ((-8)/q)/(-1*3/36). Solve 3*v = 2 + m for v. 2 Let m(l) = -17 - 3*l**2 + 43326*l + 4*l**2 - 43347*l. Let p be m(22). Solve 5*g + 10 = -p*g for g. -1 Let d be ((-10)/(-8))/(2 + (-14)/8). Suppose 0 = -d*y + 6 + 39. Suppose y*q = 4*q + 20. Solve q*m = -0*m for m. 0 Let f be 272/10*(-4)/(24/(-15)). Suppose 3*u - 67 = f. Suppose 3*a - 15 - u = 0. Solve 0 = -5*w + w - a for w. -5 Suppose -35*u - 45*u = -94*u. Solve u = -209*l + 207*l + 12 for l. 6 Let c(l) = -196*l + 72. Let m be c(-3). Let d be (-8)/10*m/(-176). Solve 0 = -8*s + d*s for s. 0 Suppose -3*c = -16*c. Suppose c = 8*y - 7*y. Suppose t - 2*p + 6 = y, -3*t + p = -3*p + 8. Solve -t*r = -3*r for r. 0 Let p(k) = -k**2 - 24*k - 30. Let n = -308 + 286. Let m be p(n). Solve -m = 7*y - 0*y for y. -2 Suppose -u - 9*u + 30 = 0. Suppose 0 = p + 3*p + 4, u*o + 5*p = 220. Suppose 74 - o = -l. Solve 2*s + l = 7 for s. 3 Let h(o) = o**3 - 6*o**2 - 9*o + 15. Let n = -49 + 69. Let d = n - 13. Let q be h(d). Solve 4*v - 5 = -q for v. 1 Suppose 9*h - 281 + 3548 = 0. Let i be 20/(-70) - h/21. Solve i*w = 12*w for w. 0 Let o = -40 - -42. Suppose x - o*a = 5*x, 4*x = 4*a. Let w be x + 5/((-20)/(-8)). Solve -w*c = -3*c - 2 for c. -2 Let u(o) = 224 - 5*o - 220 - 6*o. Let b be u(0). Solve 0 = 8*p - b*p for p. 0 Let w = 24205 + -24185. Solve 987*s = 997*s - w for s. 2 Suppose -21 = -i - 14. Suppose -3*l = 5*v - 15, -4*v - 5 = i. Let x be (-12)/8*4/(-3). Solve -x*g = -0*g + l for g. -5 Let m(f) = -2*f**3 - 62*f**2 - 112*f + 212. Let j be m(-29). Solve -18*h - 6*h = -j for h. 4 Suppose l = 3*n + 3*l + 41, 4*n = -2*l - 56. Let v = 22 + n. Let f(s) = 6*s - 176. Let j be f(33). Solve -v = -5*t - j for t. -3 Suppose 2*w + 3*s = s + 38, 0 = 4*w - s - 91. Let g = w - 16. Let d(v) = v**2 - 14*v + 53. Let q be d(g). Solve 2*y - 15 = q*y for y. -5 Let w be 133/57 + (-1)/3. Let q be 30*(w - 0 - 1) + -2. Suppose -7 = -s - 3*d, -4*s + d = -2*d - q. Solve 3 = 4*f - s*f for f. -1 Suppose -7*i - 3 = -10*i. Let d(h) = 3*h + 17. Let b be d(0). Let k = 299 - 295. Solve -k*m = i - b for m. 4 Let i = -362 - -359. Let w be (i - 1)*(-9)/12. Solve 4 + 5 = w*u for u. 3 Suppose 0*w = w + 3. Let p(c) = -6*c - 3. Let o be p(w). Let b(z) = -45*z - 1209. Let s be b(-27). Solve -j = -s*j + o for j. 3 Let h = -5195 + 5398. Solve -214*t + h*t = 0 for t. 0 Suppose 120 = 28*c - 22*c. Suppose -4*s = 5*a - 20, 11*s - c = 7*s. Solve q - 9 + 4 = a for q. 5 Let b(f) = f**2 + 1529*f + 282. Let l be b(0). Solve 0 = 20*o - l + 122 for o. 8 Suppose 0 = 3*k - 3 - 6. Let s be (9/(-2))/(13/(-26)). Suppose 0 = -6*n + s*n - 27. Solve 0*y - n = k*y for y. -3 Let u(m) = 3*m - 25. Let y be u(18). Suppose -5*g + 3*i = -y, -5*i = -4*g - 0*i + 18. Let n(b) = -2*b + 19. Let k be n(g). Solve k*w + 8 = -2 for w. -2 Let p(k) = 31*k + 47. Let l be p(-1). Solve -l*o - 4*o - 80 = 0 for o. -4 Let z(w) = w**2 - 1 + 8 + 0 - 6 - 2*w. Let h be z(3). Suppose t - 5*t = -h*u - 32, 4*u = -4*t - 8. Solve -t*m = 5 + 4 for m. -3 Let v = -108 + 52. Let g be v/(-6)*(-12)/(-8). Suppose 2*w + g = 3*s, -4*w = w + 5. Solve x + 25 = -s*x for x. -5 Let k(z) = -4*z + 8. Let v be k(-15). Let j = 63 - v. Let r be (-24)/2*(100/(-15) - j). Solve 0 = -3*y - y + r for y. 5 Let d = 59 - 42. Let g be (-641)/(-9) - 24/108. Suppose 17*q - g = 14. Solve q*j = d - 42 for j. -5 Suppose 103 + 464 = 46*z - 445. Solve z*w - 14 = 29*w for w. -2 Let a be -1 + (-4 - -2) + -2 + -123. Let v = a + 132. Solve 12 = -v*o + 8 for o. -1 Suppose 0*v = 4*s + 3*v - 16, 5*v = -s - 13. Let k(g) = 16. Let x(m) = m - 32. Let u(q) = 5*k(q) + 3*x(q). Let n be u(s). Solve 7 - 2 = -n*b for b. -1 Let x be -3*(-3 + 260/(-39)). Solve x = -4*w + 17 for w. -3 Let j(f) = -f**3 + 9*f**2 + 9*f + 7. Let y be j(10). Let g be ((-18)/2)/(((-27)/(-6))/y). Solve 2*t + g + 2 = 0 for t. -4 Suppose -4*s + 3*o = -0*o + 996, 5*s - 3*o + 1248 = 0. Let t = s + 252. Solve -13*a + 8*a = t for a. 0 Let i(u) = -u**3 - 22*u**2 + 45*u + 510. Let x be i(-23). Solve -x - 10 = 2*d for d. -7 Suppose 17*s = 9*s + 264. Suppose 12*x - s = 39. Solve 3*u + x + 6 = 0 for u. -4 Suppose 6*u - 5*k - 389 = 5*u, 3*u - 2*k - 1206 = 0. Solve -12*g - 476 = -u for g. -6 Let q(k) = k - 40. Let t be q(0). Let d = t + 44. Suppose -d*x + 20 = -16. Solve 0 = 4*m - 1 + x for m. -2 Suppose 377 = 11*h + 1081. Suppose -d + 65 = -7. Let s = h + d. Solve 12 + s = 5*l for l. 4 Let d be (-21)/(-3) - 12/(-4). Suppose -3*i = 5*r - 1, 13*i + 9 = d*i. Solve r = 3*k - 5*k for k. -1 Let z be 2/6 + (5 - (-992)/12). Suppose -4*b - 8 + z = 0. Solve -4*y + b = -0*y for y. 5 Let o = 288 - -317. Let l = o + -601. Solve -3*t = -l + 13 for t. -3 Let w be 4 + ((-18)/81)/((-6)/513). Solve -w = 4*p - 27 for p. 1 Let k = -14166 - -14196. Solve 12*y = 6*y - k for y. -5 Let r(k) = -2*k**2 + 9*k + 30. Let n be r(-15). Let i = -553 - n. Solve -4*v = i*v + 18 for v. -3 Suppose 0 = 6*x - 2*x - 440. Let g be 110 + -2 + 0 + -4. Let z = x - g. Solve z = -4*y - 10 for y. -4 Let f(p) = -p**3 + 6*p**2 - p + 3. Suppose -t = t - 12. Let o be f(t). Let k be (1 - 3)*(o/(-2))/(-3). Solve 2*w - k = 5 for w. 3 Let w(z) = 9*z - 6. Let x be w(1). Suppose 0*r - x*r = -18. Suppose -5*k = -25, -3*y + 58 = -4*k + 6*k. Solve 2*j = r*j - y for j. 4 Suppose -3*r = -a - 11, -r + 4*r - 4*a -
{ "pile_set_name": "DM Mathematics" }
vided by (279/9)/(1/2)? 58 Let z(c) = -14*c - 48. Calculate the remainder when 349 is divided by z(-4). 5 Let m(l) = -5*l - 21. Let r be m(-10). Let w = r - 13. What is the remainder when w is divided by 6? 4 Calculate the remainder when 202 is divided by (52/13)/(3 + 34/(-14)). 6 Calculate the remainder when 1/((-9189)/1314 + 7) is divided by 8. 2 Suppose 11*c - 673 = -w + 12*c, 3361 = 5*w - 3*c. What is the remainder when w is divided by 42? 41 Suppose 4*i = -5*s + 11, 17 = 5*i + 2*s + s. Let l = i + 14. Calculate the remainder when 71 is divided by l. 17 Suppose 85 = 3*a - 2*a. What is the remainder when a is divided by 41? 3 Let t(r) = 2*r**3 - 37*r**2 + 54*r - 20. Let d = -26 - -37. What is the remainder when t(17) is divided by d? 9 Let d(t) = 5*t**2 + 3*t - 4. Suppose 3*p = -13 + 34. Calculate the remainder when d(-3) is divided by p. 4 Let q = 1837 - 1534. What is the remainder when q is divided by 14? 9 Let i be (2/1 - 1) + -3. Let s be 5 - 3 - (1 + i). Suppose -5*k - 65 = 2*g - 366, 4*g - 189 = -s*k. Calculate the remainder when k is divided by 15. 14 Let c = -333 - -388. Suppose 2*a = 2*s - 0*s - 40, -3*a = -s + 30. Calculate the remainder when c is divided by s. 10 Suppose -155 = -4*m - m. What is the remainder when m is divided by (-130)/455 + (-79)/(-7)? 9 Let y(l) = -8*l + 5. Let q(b) = 2*b - 1. Let n(f) = 18*q(f) + 4*y(f). What is the remainder when 75 is divided by n(6)? 23 Let g(v) = v**3 + 4*v**2 - 36*v + 11. Calculate the remainder when g(-8) is divided by 29. 14 Let h = 738 + -666. What is the remainder when h is divided by 9? 0 Let l be 5 + 4 + -7 - -3. Suppose b + 244 = 4*m, -4*m + l*b + 171 = -73. What is the remainder when m is divided by 17? 10 Let q(f) = f**2 + 6*f - 10. Let c be q(-7). Suppose -2*v = 109 - 117. Calculate the remainder when (-31)/c + 6/9 is divided by v. 3 Let m(q) = -q**3 - 30*q**2 - 2*q + 31. Let c be m(-30). Let o = c - 88. What is the remainder when 19 is divided by o? 1 Let w(r) = -r**2 + 2*r + 11. Calculate the remainder when 12 is divided by w(4). 0 Let m(u) = -3*u**3 - u**2 + 27*u + 69. What is the remainder when 716 is divided by m(-3)? 56 Let i(f) = 46*f + 92. What is the remainder when i(5) is divided by 65? 62 Suppose 3*i + 229 + 80 = 2*c, -3*i = 3*c - 441. Suppose 0 = 4*u + 16, u + u + c = 2*v. Calculate the remainder when v is divided by (-12)/(-2)*16/4. 23 Let a be (-162)/7*(1 + (-24)/3). Suppose 0*p - 3*p + 227 = -2*r, 4*r + a = 2*p. Calculate the remainder when p is divided by 19. 16 Suppose -7*s + 12 = -5*s. Suppose 0 = s*z - 175 - 17. What is the remainder when z is divided by 9? 5 Let t = 1741 + -1006. Calculate the remainder when t is divided by 18. 15 Suppose 5*q - 312 = 3*o, 128 = 2*q - 0*q + 2*o. Let n = q + -52. What is the remainder when n is divided by 3? 2 Let b be 120/3 - (-7 + (-15)/(-3)). Let k = b - 37. Calculate the remainder when 5 is divided by k. 0 Let f be (-10)/25 + 154/10. Suppose -4*i = -v + f, -4*i + 0*i = 12. Calculate the remainder when v is divided by 2. 1 Let c(w) = -w**3 - 7*w**2 - 16*w + 3. What is the remainder when 492 is divided by c(-5)? 30 Let u = -37 - -41. Let j(z) = z**2 + 4. What is the remainder when j(3) is divided by u? 1 Let r(g) = g + 103. What is the remainder when 320 is divided by r(5)? 104 Let y = -566 + 590. Calculate the remainder when 90 is divided by y. 18 Suppose 3*j - 45 - 201 = y, 4*y = -j + 69. What is the remainder when 31 is divided by (j/(-18))/(4/(-8))? 4 Let b be (-2 + 2)*2/4. Suppose 0 = -5*g + 5*q + 325, -2*g + q + 0*q + 131 = b. Suppose -29 = -5*s + g. Calculate the remainder when 35 is divided by s. 16 Suppose -3*i + 34 - 4 = 0. Let s(n) = n - 4. Let q be s(5). Let g = q - -5. What is the remainder when i is divided by g? 4 Suppose 91*x = 84*x + 1582. Calculate the remainder when x is divided by 23. 19 Suppose 0 = -5*o + 29 + 46. Let y = -27 - -39. Suppose d - y = -d. What is the remainder when o is divided by d? 3 Let f(q) = 4*q + 23. Let h(r) = r**3 + 2*r**2 - 2*r. Let s be h(-3). What is the remainder when f(16) is divided by ((-9)/s + -2)*22? 21 Let l be -3*35/(-42)*4/2. Suppose -l*j = 60 - 190. Let q(r) = 3*r**2 - 6*r + 5. Calculate the remainder when q(6) is divided by j. 25 Let y = -409 + 1736. What is the remainder when y is divided by 95? 92 Let s(y) = y**3 + 6*y**2 + 19*y - 92. What is the remainder when s(4) is divided by 48? 0 Suppose -x + 128 = 3*x + 2*r, 12 = -3*r. What is the remainder when ((-3)/((-15)/335))/1 is divided by x? 33 Suppose -5*a - 5*q + 1760 = 0, 0*a - 1413 = -4*a - 3*q. Calculate the remainder when a is divided by 45. 42 Suppose 3*d - 719 = -2*i, -3*i - 410 = 5*d - 1488. Suppose -6*c = -17 - i. What is the remainder when c is divided by 13? 11 Suppose 52*c - 50*c - 4*i = 244, -5*c - 4*i = -568. What is the remainder when c is divided by 13? 12 Let f = -1195 + 1202. What is the remainder when 79 is divided by f? 2 Let k(m) = 17*m + 19. Let r = -141 - -146. Calculate the remainder when k(r) is divided by 18. 14 Let x = 0 + 18. Suppose -105 = -31*u + 50. What is the remainder when x is divided by u? 3 Let v(d) = d**2 + 6*d - 12. Let x = 10 + -19. Suppose 0*z - 16 = -2*z. What is the remainder when v(x) is divided by z? 7 Suppose -8*t = -4*t + 4*u - 124, -3*t + 93 = 4*u. Calculate the remainder when t is divided by 30. 1 Let w(a) be the first derivative of 4*a**3/3 - 3*a**2 + 2*a - 2. What is the remainder when 11 is divided by w(2)? 5 Let f(c) = -11 + 13*c**2 - 3 + c**3 + 2*c**2 - 18*c. What is the remainder when 51 is divided by f(-16)? 15 Suppose 4*z - 36 = -5*m, -z + 41 - 10 = 4*m. Let s(a) = -a**2 + 8*a - 2. Let v be s(m). What is the remainder when 17 is divided by 1/(-3)*(-20 - v)? 5 Let c = 84 + -86. What is the remainder when 2 is divided by 1 - 4*1/4 - c? 0 Suppose 0 = -7*m + 8*m - 155. Let u = m + -76. What is the remainder when u is divided by 21? 16 Let c(i) = -6*i**2 + 2*i + 1. Let p be c(-1). Let u(x) = -x**2 - 13*x - 8. Let j be u(-10). Let q = j + p. What is the remainder when 27 is divided by q? 12 Suppose 0*n + 58 = 2*c - 2*n, 112 = 4*c - 5*n. Let m(q) = -4*q**3 + q**2 - q + 2. Let f be m(-2). Let k = f + -28. What is the remainder when c is divided by k? 9 Calculate the remainder when 20/(-170) + 4764/34 is divided by 48. 44 Let b(h) = -14*h - 26. Calculate the remainder when 58 is divided by b(-3). 10 Let i(f) = -6*f + 2. Let p be i(1). What is the remainder when 70 is divided by (6 - -30)/(-2*3/p)? 22 Let l(m) be the third derivative of -5*m**4/12 + m**3/6 - 5*m**2. Let n(v) = -v**2 + 2*v - 2. Let s be n(1). Calculate the remainder when 43 is divided by l(s). 10 Let u = 1584 + -1508. What is the remainder when 299 is divided by u? 71 What is the remainder when (-3)/((-6)/(-4)) + 31 is divided by (6/8)/(3 + (-46)/16)? 5 Let t = 38 - 35. Suppose 3*h - 2*k = t + 4, 3*h + 2*k - 11 = 0. Calculate the remainder when 5 is divided by h. 2 Let z(g) = g**3 + 6*g**2 - 3*g - 1. Let p(m) = m**3 + 7*m**2 - 6. Let q be p(-6). Let b be 9/2*(-40)/q. Calculate the remainder when z(b) is divided by 10. 7 Suppose j + 64 = 66. Suppose -12 - 30 = -j*k. What is the remainder when 62 is divided by k? 20 Suppose 2*f + 279 = 6*f - 5*s, -5*f = -5*s - 350. Suppose 0 = 5*p - 25, 4*k - 5*p - f = 0. Calculate the remainder when 67 is divided by k. 19 Suppose 62 = 2*f - 144. Let m = 16 + f. Calculate the remainder when m is divided by 30. 29 Let c(f) = -f**2 - 15*f - 13. Let g be c(-12). Let j(o) = 2*o - 25. Suppose 3*p + p - 24 = 0. What is the remainder when j(g) is divided by p? 3 Let z(j) = -j**3 - 11*j - 5. Let s be z(-4). Suppose 5*n - 112 = s. What is the remainder when 212 is divided by n? 40 Let h = 55 + -58. Let b(r) = 3*r - 2. Let s(t) = t. Let c(o) = -b(o) - 3*s(o). Calculate the remainder when c(h) is divided by 11. 9 Let z = 619 + -351. What is the remainder when z is divided by 27? 25 Suppose 25 = -2*x + 3*l + 52, 14 = -x - 4*l. Suppose 0 = m - 2*m + 52. Calculate the remainder when m is divided by x. 4 Suppose 6 = 6*y + 18. Let v be (y/4)/(17/(-68)). Suppose -v*q = 3*q - 25. What is the remainder when q is divided by 4? 1 Let t(b) = b**3 - 2*b**2 + b + 5. Suppose -3*u - 150 = g - 179, 0 = -5*g - 4*u + 90. Calculate the remainder when t(4) is divided by g. 13 Let l = -498 + 519. What
{ "pile_set_name": "DM Mathematics" }
hen 12256 is divided by 6124. 8 Calculate the remainder when 351 is divided by 29. 3 Calculate the remainder when 9829 is divided by 113. 111 Calculate the remainder when 1619 is divided by 161. 9 Calculate the remainder when 6790 is divided by 677. 20 Calculate the remainder when 3081341 is divided by 724. 721 Calculate the remainder when 98117 is divided by 3066. 5 What is the remainder when 82432 is divided by 296? 144 What is the remainder when 7592 is divided by 40? 32 Calculate the remainder when 1162 is divided by 40. 2 What is the remainder when 956 is divided by 116? 28 Calculate the remainder when 19010 is divided by 6335. 5 What is the remainder when 10119 is divided by 3278? 285 What is the remainder when 10296 is divided by 39? 0 What is the remainder when 172266 is divided by 655? 1 Calculate the remainder when 1735 is divided by 76. 63 Calculate the remainder when 5710 is divided by 5687. 23 What is the remainder when 3478 is divided by 576? 22 Calculate the remainder when 104242 is divided by 34746. 4 What is the remainder when 29254 is divided by 140? 134 What is the remainder when 78579 is divided by 209? 204 What is the remainder when 2519 is divided by 90? 89 Calculate the remainder when 285 is divided by 5. 0 Calculate the remainder when 2829586 is divided by 348. 346 What is the remainder when 111400 is divided by 37121? 37 What is the remainder when 37443 is divided by 9357? 15 What is the remainder when 22224 is divided by 20? 4 Calculate the remainder when 882 is divided by 676. 206 What is the remainder when 10413 is divided by 160? 13 Calculate the remainder when 199969 is divided by 23. 7 Calculate the remainder when 847603 is divided by 36. 19 Calculate the remainder when 762 is divided by 339. 84 What is the remainder when 352217 is divided by 352206? 11 What is the remainder when 10818 is divided by 79? 74 Calculate the remainder when 9063 is divided by 566. 7 What is the remainder when 12288 is divided by 58? 50 What is the remainder when 2960786 is divided by 13? 10 Calculate the remainder when 14936 is divided by 148. 136 What is the remainder when 7267 is divided by 68? 59 Calculate the remainder when 7083 is divided by 187. 164 What is the remainder when 47453 is divided by 1216? 29 Calculate the remainder when 84883 is divided by 162. 157 What is the remainder when 13881 is divided by 552? 81 What is the remainder when 47151 is divided by 798? 69 Calculate the remainder when 862 is divided by 23. 11 What is the remainder when 41473 is divided by 89? 88 Calculate the remainder when 92285 is divided by 896. 893 Calculate the remainder when 1535165 is divided by 482. 477 What is the remainder when 58311 is divided by 19433? 12 What is the remainder when 20328 is divided by 20323? 5 Calculate the remainder when 8672 is divided by 257. 191 Calculate the remainder when 59558 is divided by 136. 126 What is the remainder when 1766 is divided by 209? 94 What is the remainder when 192064 is divided by 192007? 57 What is the remainder when 3128 is divided by 319? 257 Calculate the remainder when 2328 is divided by 62. 34 What is the remainder when 19687 is divided by 1035? 22 Calculate the remainder when 100635 is divided by 2287. 7 Calculate the remainder when 74631 is divided by 18654. 15 What is the remainder when 34102 is divided by 174? 172 Calculate the remainder when 827099 is divided by 69. 65 Calculate the remainder when 31308 is divided by 531. 510 What is the remainder when 2141 is divided by 9? 8 Calculate the remainder when 6389 is divided by 465. 344 Calculate the remainder when 5669 is divided by 653. 445 What is the remainder when 274605 is divided by 14? 9 Calculate the remainder when 39985 is divided by 2220. 25 Calculate the remainder when 36393 is divided by 6062. 21 Calculate the remainder when 70332 is divided by 35161. 10 What is the remainder when 26255 is divided by 1250? 5 Calculate the remainder when 5160 is divided by 178. 176 What is the remainder when 4823 is divided by 5? 3 What is the remainder when 1394 is divided by 212? 122 Calculate the remainder when 1329 is divided by 348. 285 What is the remainder when 275478 is divided by 47? 11 Calculate the remainder when 70 is divided by 34. 2 Calculate the remainder when 6228 is divided by 3094. 40 What is the remainder when 1018 is divided by 543? 475 Calculate the remainder when 59228 is divided by 301. 232 Calculate the remainder when 60323 is divided by 2236. 2187 What is the remainder when 1266 is divided by 1192? 74 What is the remainder when 11393 is divided by 512? 129 What is the remainder when 2195 is divided by 383? 280 What is the remainder when 160159 is divided by 117? 103 What is the remainder when 56329 is divided by 458? 453 Calculate the remainder when 9037 is divided by 4. 1 Calculate the remainder when 1320 is divided by 537. 246 Calculate the remainder when 3981 is divided by 145. 66 Calculate the remainder when 21062 is divided by 6980. 122 Calculate the remainder when 1293447 is divided by 30. 27 Calculate the remainder when 1673 is divided by 124. 61 Calculate the remainder when 114813 is divided by 14. 13 What is the remainder when 52877 is divided by 80? 77 What is the remainder when 18496 is divided by 308? 16 Calculate the remainder when 3327 is divided by 24. 15 What is the remainder when 903 is divided by 727? 176 Calculate the remainder when 40987 is divided by 13650. 37 Calculate the remainder when 218199 is divided by 561. 531 Calculate the remainder when 87268 is divided by 87258. 10 What is the remainder when 1489 is divided by 391? 316 What is the remainder when 51867 is divided by 190? 187 What is the remainder when 490735 is divided by 1487? 25 What is the remainder when 46052 is divided by 15350? 2 What is the remainder when 80612 is divided by 10059? 140 Calculate the remainder when 3917 is divided by 84. 53 Calculate the remainder when 19921 is divided by 219. 211 What is the remainder when 5221 is divided by 132? 73 What is the remainder when 12685 is divided by 107? 59 Calculate the remainder when 381422 is divided by 287. 286 What is the remainder when 844026 is divided by 9? 6 What is the remainder when 253 is divided by 44? 33 Calculate the remainder when 238044 is divided by 32. 28 What is the remainder when 60104 is divided by 1054? 26 What is the remainder when 973 is divided by 101? 64 Calculate the remainder when 2346 is divided by 1158. 30 Calculate the remainder when 145359 is divided by 248. 31 Calculate the remainder when 6623 is divided by 3311. 1 What is the remainder when 53172 is divided by 13287? 24 Calculate the remainder when 1605 is divided by 99. 21 Calculate the remainder when 2585 is divided by 827. 104 What is the remainder when 140772 is divided by 4? 0 What is the remainder when 76335 is divided by 100? 35 Calculate the remainder when 1167681 is divided by 207. 201 What is the remainder when 11682 is divided by 19? 16 Calculate the remainder when 2050 is divided by 625. 175 Calculate the remainder when 864750 is divided by 822. 6 Calculate the remainder when 921085 is divided by 512. 509 Calculate the remainder when 168522 is divided by 175. 172 What is the remainder when 13100 is divided by 4365? 5 Calculate the remainder when 355 is divided by 155. 45 Calculate the remainder when 76462 is divided by 1318. 18 What is the remainder when 53716 is divided by 632? 628 What is the remainder when 5041 is divided by 2360? 321 Calculate the remainder when 31551 is divided by 343. 338 What is the remainder when 55704 is divided by 119? 12 Calculate the remainder when 67744 is divided by 22558. 70 Calculate the remainder when 19750 is divided by 22. 16 Calculate the remainder when 147 is divided by 10. 7 Calculate the remainder when 21228 is divided by 1632. 12 Calculate the remainder when 997 is divided by 207. 169 Calculate the remainder when 944 is divided by 12. 8 Calculate the remainder when 203936 is divided by 2549. 16 Calculate the remainder when 23470 is divided by 6. 4 Calculate the remainder when 654 is divided by 172. 138 What is the remainder when 115016 is divided by 411? 347 What is the remainder when 6269 is divided by 148? 53 Calculate the remainder when 1834 i
{ "pile_set_name": "DM Mathematics" }
remainder when x is divided by 16. 15 Suppose 5*q - 16 + 1 = 0. Calculate the remainder when 4 is divided by q. 1 Let m = 65 + -44. Calculate the remainder when m is divided by 12. 9 Let t = 313 + -164. Calculate the remainder when t is divided by 38. 35 Suppose 5*m - t = -83, 4*t = 2*t - 4. Let n = -10 - m. Calculate the remainder when 19 is divided by n. 5 Let f(y) = -y**2 - 41*y - 33. Calculate the remainder when f(-14) is divided by 29. 26 Suppose 711 = -7*r + 12*r - 2*g, 2*r - 284 = g. Calculate the remainder when r is divided by 24. 23 Suppose -2*k = 3*s - 21, 3*k - k - 30 = -4*s. What is the remainder when 43 is divided by s? 7 Suppose 206 = 12*c - 250. Calculate the remainder when 75 is divided by c. 37 Let q = 7 - 4. Suppose q*w = -4*x, 0 = 3*w + 2*x - 4*x. Suppose -c + 2*c - 20 = w. What is the remainder when c is divided by 11? 9 Let t = 1 + 2. Suppose -b + t*b - 12 = 0. Calculate the remainder when 7/((-35)/10) - -24 is divided by b. 4 Suppose 0 = p + d + d - 26, 3*d = 5*p - 78. What is the remainder when 50 is divided by p? 14 Let c be (-166)/6 + 3/(-9). Let k = c + 63. Calculate the remainder when k is divided by 12. 11 Let w(t) = t**2 - 7*t + 6. Let u be w(6). Suppose u = -2*b + 36 + 16. Calculate the remainder when b is divided by 7. 5 Suppose 0 = 2*f + 5*z + 119, -5*z = -0*z + 15. Suppose -12*b + 47 = 11. Calculate the remainder when 2/(-5) - f/5 is divided by b. 1 Suppose -3*l = -a - 2, 0*a + 2*a + 2 = 5*l. Let u = a + 17. Suppose -20 = -2*j + 104. What is the remainder when j is divided by u? 20 Suppose -1 = -2*z + 25. Let d(n) be the second derivative of 37*n**5/20 - n**4/12 + n**2/2 + n. Calculate the remainder when d(1) is divided by z. 11 Let n(t) = -6*t - 9. Calculate the remainder when n(-3) is divided by 6. 3 Let y(b) = 7*b + 11. Suppose -w = 5 - 23. What is the remainder when y(6) is divided by w? 17 Let m(i) = i**3 - 3*i**2. What is the remainder when m(4) is divided by 10? 6 Suppose 2*h + 3*d - 19 = 0, -3*h - 6*d = -d - 27. Calculate the remainder when 22 is divided by -12*(3 + h/(-4)). 4 Let d = 219 + -124. Calculate the remainder when d is divided by 24. 23 Suppose 0 = 12*l - 1432 + 448. What is the remainder when l is divided by 17? 14 Let j(u) = -3*u**3 - u**2 - 2. Let f be j(2). Calculate the remainder when (-12)/10*500/f is divided by 7. 6 Let h(s) be the third derivative of s**4/24 + s**2. Suppose -6*u = -u - 10. Calculate the remainder when h(5) is divided by u. 1 Suppose 86 = 7*x - 117. What is the remainder when 113 is divided by x? 26 Suppose 4*m - k - 110 = 0, 0*m + k = 5*m - 138. Suppose 0*t + m = 4*t. Suppose t = 5*x - 38. Calculate the remainder when 25 is divided by x. 7 Suppose 2*w - 22 = d, 5*w - 2*d = d + 57. Calculate the remainder when 436/18 + (-10)/45 is divided by w. 6 What is the remainder when -16 + 16 + (8 - 1) is divided by 5? 2 What is the remainder when -5*(-13)/(325/30) is divided by 5? 1 Let o be 86 + (4 - 3) + -4. Suppose c + o = -2*m + 7*m, -5*m = -3*c - 79. What is the remainder when m is divided by 10? 7 What is the remainder when (-681)/(-15) + (-2)/5 is divided by 24? 21 Suppose -6 = 3*g - 126. Suppose g = y + 2. What is the remainder when y is divided by 10? 8 Let p be (-1)/2 - 7/(-2). Suppose p*z - 35 = 4*i, 3*z + 3*i = -2*z + 97. Suppose 958 = -58*j + 2814. Calculate the remainder when j is divided by z. 15 Suppose -2*f = 3*t - 0*f - 110, -5*t + 3*f + 196 = 0. Calculate the remainder when t is divided by 20. 18 Let u = 1 + 3. Suppose 3*f = f - u. What is the remainder when 16 is divided by f + (1 - 0) - -7? 4 Let c be 0 - 2/(-4)*0. Suppose -h = -2*z + 18, -z = h - c*h - 15. Let t = 45 - 25. Calculate the remainder when t is divided by z. 9 What is the remainder when 23 is divided by (-44)/(-6) + (-6)/(-9)? 7 Let a be -3*((-6)/(-9) - 2). What is the remainder when 2 is divided by (-32)/(-12) + a/(-6)? 0 Suppose -5*c - 19 = 3*j, -5 = 3*c + 5*j - 0*j. Calculate the remainder when c/((-15)/4)*30 is divided by 14. 12 Suppose 3*k - 25 = 29. What is the remainder when 71 is divided by k? 17 Let r(l) = l**3 - 8*l**2 + 3*l + 4. Calculate the remainder when 52 is divided by r(8). 24 Let j = 87 + -72. What is the remainder when 42 is divided by j? 12 Let j be 1/3 + (-52)/3. Let t be (-24)/(-2)*j/2. Calculate the remainder when 33 is divided by ((-6)/18)/(2/t). 16 Let f(c) = c + 3. What is the remainder when 25 is divided by f(3)? 1 Let v(q) = q**2 + 4*q + 3. Let m be v(-3). Suppose 36 = -5*x + 4*k, 5*x + 28 = -m*k + 2*k. Calculate the remainder when 2 is divided by (-8)/12*6/x. 0 Let v = -40 + 70. Let o = -42 - -101. What is the remainder when o is divided by v? 29 Suppose -4*o + 32 = -0*o. Suppose -4 = 2*l - o. Suppose -l*c - 4*r = 3 - 57, 2*r - 58 = -2*c. Calculate the remainder when c is divided by 16. 15 Let p = 71 - -12. Calculate the remainder when p is divided by 29. 25 Suppose -2*g = -2*p - 36, 5*g - 9 - 77 = 3*p. Let n = g - -9. Calculate the remainder when n is divided by 9. 7 Suppose 4*w - 12 = -4. Calculate the remainder when (30/4)/3*2 is divided by (-21)/(-9) - w/6. 1 Let o(f) = -f**2 + 11*f - 6. Calculate the remainder when o(7) is divided by 6. 4 Let u(o) = -o + 12. Let q be u(12). Suppose -4*p + q*p = -80. Calculate the remainder when 79 is divided by p. 19 Let j(x) = -5*x - 13. What is the remainder when j(-9) is divided by 9? 5 Let m(z) = -16*z + 1. Let f = 15 - 16. What is the remainder when m(f) is divided by -1 + 8 - (-1)/(-1)? 5 Let p(v) = v**3 - 15*v**2 + 4*v - 23. Let q = -21 + 34. What is the remainder when p(15) is divided by q? 11 Let g(y) = 64*y**2 + 3*y + 2. Calculate the remainder when g(-1) is divided by 16. 15 Let b(d) = d**3 - 8*d**2 + d + 9. Let z(s) = -11*s**3 - 3*s**2 - s + 1. Let f be z(-2). Suppose f = 3*r - 20. Calculate the remainder when r is divided by b(8). 16 Suppose 5*k - 4 - 21 = 0. Suppose -5*c = 2*d - k*d - 1, 0 = 2*d - 3*c. What is the remainder when d is divided by 1? 0 Suppose 3*z - 197 = 2*f, -4*f - 79 = -z - 0*f. Suppose 0 = 6*x - 3*x + 126. Let h = z + x. Calculate the remainder when h is divided by 11. 10 Suppose 23*b - 354 = 17*b. Suppose 10 + 50 = 4*s. What is the remainder when b is divided by s? 14 Suppose 2*x = 26 + 38. What is the remainder when x is divided by 9? 5 Suppose 0*r = r - 8. Calculate the remainder when r is divided by 3. 2 Calculate the remainder when 674/8 - (-6)/8 is divided by 44. 41 Let q(c) = -16*c**3 - c**2. What is the remainder when -129*(-3)/9*1 is divided by q(-1)? 13 Calculate the remainder when 31 is divided by 57/6 + (-12)/8. 7 Let a = -2 + 5. Let c = a - 9. What is the remainder when 27 is divided by 21/(-1)*2/c? 6 Let z(q) = q**2 - 4*q - 8. Calculate the remainder when 51 is divided by z(7). 12 Suppose p + 3 = -5*j - 5, 3*j = -p. What is the remainder when (34/(-4))/((-1)/4) is divided by p? 10 Let z = 217 - 135. Let l = z - 44. Let o = 38 + -25. Calculate the remainder when l is divided by o. 12 Let i = 105 - 30. Calculate the remainder when i is divided by 19. 18 Suppose 2*q + 5*j - 30 = 0, 0 = -8*j + 3*j - 10. What is the remainder when q is divided by 12? 8 Suppose -3*w + 10 = 4. Let v(y) = -2*y - 4. Let o be v(-3). Let c(j) = -j**3 + 2*j**2 + j - 1. Calculate the remainder when w is divided by c(o). 0 Suppose -2*x + 42 = -6. What is the remainder when 3/2*94/3 is divided by x? 23 What is the remainder when 158 is divided by (-15)/(3 - -2) + 35? 30 Calculate the remainder when 38 is divided by (48/18)/(3/9). 6 Let l be (-12)/(-7) - (-2)/7. Let g be 2/6*9 + 54. Suppose 0 = m + 3*u + 2*u - 9, -l*m = -3*u - g. What is the remainder when m is divided by 13? 11 Suppose 3*t - 46 = -5*r, -3*r - 5*t + 42 = r. What is the remainder when 38 is divided by r? 6 Suppose 5*j - 152 = -12. What is the remainder when j is divided by 2*(-5)/(-8)*8? 8 Let s(a) = 3*a. Let m be 3 + (-3 - (1 + -2)). Let b = -4 - -6. Calculate the remainder when s(m) is divided by b. 1 Suppose 0 = -5*p - y + 269, 5*p - 250 = -5*y + 15. Calculate the remainder when p is divided by 11. 10 Let g(w) = -20*w**3 - w - 1. Calculate the remainder when g(-1) is divided by 8. 4 Calculate the remainder when 142*-1*14/(-28) is divided by ((-3)/(-6))/(2/72). 17 Let u = -14 - -27. Suppose 2*s - r - 34 = -u, 3 = s + r. Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
+ 1/2*f**4 + 0*f**3 + 0*f + 1/4*f**5 - 7/40*f**6 - 1/35*f**7. Solve y(x) = 0. -4, -1/2, 0, 1 Let k(m) be the second derivative of m**4/6 + 161*m**3/3 - 3920*m. Let k(h) = 0. Calculate h. -161, 0 Let v(l) be the second derivative of -l**5/70 - 82*l**4/21 + l**3/21 + 164*l**2/7 - 4243*l. Factor v(f). -2*(f - 1)*(f + 1)*(f + 164)/7 Let a = -322645 + 1290635/4. Factor -a + 5/2*v**2 + 45/4*v. 5*(v - 1)*(2*v + 11)/4 Let s = -37 + 32. Let v be 3/30*s*(-1 - 1). Factor -4*j**3 + 4*j + 15*j**2 - v - 3 - 11*j**2. -4*(j - 1)**2*(j + 1) Suppose 628*g - 300*g - 3012 = -60*g - 365*g. Suppose -j**g - 1/2*j**3 + 1/2*j**5 + j**2 + 0 + 0*j = 0. What is j? -1, 0, 1, 2 Suppose -20 = 5*i - 6*i - 3*z, i + 5*z - 20 = 0. Let d be i/24 + 84/(-144). Determine t, given that 1 - d*t**2 + 3/4*t = 0. -1, 4 Let y(l) be the third derivative of 7*l**6/30 + 88*l**5/3 + 7099*l**4/6 + 3844*l**3 - 3*l**2 - 107*l. Factor y(b). 4*(b + 31)**2*(7*b + 6) Let -44/7*j**3 - 48/7*j + 0 + 2/7*j**5 - 88/7*j**2 - 2/7*j**4 = 0. What is j? -2, -1, 0, 6 Let v(j) be the first derivative of -j**5/180 + 4*j**4/9 - 128*j**3/9 - 23*j**2/2 + 1. Let u(h) be the second derivative of v(h). Factor u(s). -(s - 16)**2/3 Suppose 26 = y + 24. Let j(i) = 51*i**2 + 915*i + 396. Let o(n) = 13*n**2 + 229*n + 98. Let x(k) = y*j(k) - 9*o(k). Find l such that x(l) = 0. -15, -2/5 Let y be 12 - (-2 + -3 + (-132)/(-55))*-2. Factor 2/5*z**2 + 12 + y*z. 2*(z + 2)*(z + 15)/5 Let q(w) = 42*w + 550. Let o(g) = 38*g + 215. Let v be o(-6). Let j be q(v). Factor 2*f**j + 0*f - 4/3*f**5 + 0*f**3 + 0 - 2/3*f**2. -2*f**2*(f - 1)**2*(2*f + 1)/3 Suppose -1048677*f = -1048621*f - 112. Factor -19/2*u**2 + f*u**4 + 23/2*u - 4*u**3 - 3. (u - 3)*(u + 2)*(2*u - 1)**2/2 Let n be (-220)/(-7700)*14/12. Let x(j) be the second derivative of -4/3*j**3 - n*j**6 - 1/42*j**7 + 20*j + 1/3*j**4 + 0 + 0*j**2 + 3/10*j**5. Factor x(d). -d*(d - 2)*(d - 1)*(d + 2)**2 Let v(w) be the first derivative of w**6/1800 - 7*w**5/75 + 98*w**4/15 - 20*w**3/3 - 29. Let s(k) be the third derivative of v(k). Factor s(p). (p - 28)**2/5 Let u = -1 + 3. Suppose -39*o + 11555 = -32827. Factor 2 - i + i + 1136*i**2 - o*i**u. -2*(i - 1)*(i + 1) Let c(d) be the third derivative of d**6/300 + 41*d**5/50 + 201*d**4/4 - 49379*d**3/15 - 6364*d**2. Factor c(l). 2*(l - 11)*(l + 67)**2/5 Let g(x) = -5*x**4 + 20*x**3 - 227*x**2 + 612*x + 6. Let v(z) = z**4 - z**3 + 2*z**2 - 2*z - 1. Let a(b) = -g(b) - 6*v(b). What is k in a(k) = 0? -24, 0, 5 Suppose 12*t + 157 = 61. Let q be (t/(-3))/((-66)/(-6) + -9). Let -1/6*m**3 - q*m + 5/6*m**2 + 2/3 = 0. What is m? 1, 2 Let k = 12/9227 + 891059/3044910. Let i = k - 7/55. Suppose 1/3*z + 1/6*z**4 + 0*z**2 - 1/3*z**3 - i = 0. What is z? -1, 1 Let n(m) be the second derivative of m**7/126 - 7*m**6/90 + 13*m**5/60 + m**4/12 - m**3 - 1789*m. Let n(k) = 0. What is k? -1, 0, 2, 3 Let q be (-89)/7 + 12/(-42) - -4. Let u be (2 + 0)/(5 + (q - -10)). Determine l so that -u*l**3 + 0*l - 4/3 + l**2 = 0. -1, 2 Factor 6*m**4 + 6 - 19 + 19*m**2 + 13 - 35*m**2 + m**5 + 12*m - 3*m**3. m*(m - 1)**2*(m + 2)*(m + 6) Let s = 239/6 - 77/2. Let j = 34/1481 - -1379/4443. Find k, given that -j*k**2 + 5/3*k - s = 0. 1, 4 Solve -571*s**3 - 849*s**2 + 803*s - 56*s**3 - 514*s - 502*s + 9*s**4 = 0 for s. -1, -1/3, 0, 71 Let o be 8/(-14) - (-83)/((-1162)/(-43)). Factor -1/2*w**3 - o*w**2 + 13/2*w - 7/2. -(w - 1)**2*(w + 7)/2 Let y(t) be the second derivative of 6*t**5/5 + 35*t**4/4 + 18*t**3 + 27*t**2/2 + 2488*t. What is c in y(c) = 0? -3, -1, -3/8 Let p(i) be the third derivative of i**6/24 + 7*i**5/4 + 30*i**4 + 800*i**3/3 - 1838*i**2. Find w such that p(w) = 0. -8, -5 Factor 108/5*s**2 + 2/5*s**4 + 0 - 6*s**3 + 0*s. 2*s**2*(s - 9)*(s - 6)/5 Let u(y) be the second derivative of -y**6/160 - 3*y**5/80 - 3*y**4/32 - y**3/8 - 33*y**2/2 + 32*y. Let r(a) be the first derivative of u(a). Factor r(x). -3*(x + 1)**3/4 Let k(v) be the first derivative of 3*v**3/4 + 201*v**2/4 + 66*v - 3584. Find p such that k(p) = 0. -44, -2/3 Let k(i) = i**3 - 6*i**2 - 6*i - 4. Suppose 5*f - 38 + 3 = 0. Let l be k(f). Factor 3*r**3 + 0*r**3 - 2*r**3 - 4*r**l. -3*r**3 Let j = -979 + 984. Let m(v) be the second derivative of -12*v + 0 + 3/50*v**6 + 1/70*v**7 + 9/100*v**j + 0*v**3 + 1/20*v**4 + 0*v**2. Factor m(g). 3*g**2*(g + 1)**3/5 Let t(b) be the second derivative of 1/9*b**3 + 5/126*b**7 + 29/60*b**5 + 0*b**2 + 196 + 5/12*b**4 - 2*b + 7/30*b**6. Determine c so that t(c) = 0. -2, -1, -1/5, 0 Suppose -593*b = -590*b - 120. Let h be -1 + 56/b + 2. Determine y so that -18/5 + h*y - 2/5*y**2 = 0. 3 Let t be (0 - 7)*3*4/(-28). Factor -9*z**3 + 4*z**3 + 2*z**2 - 17*z - 12*z**2 - t*z - 15*z**2. -5*z*(z + 1)*(z + 4) Let w(t) be the first derivative of -455*t + 41 + t**3 + 55/2*t**2. Let d(i) = i**2 + 28*i - 227. Let u(j) = -10*d(j) + 4*w(j). Factor u(g). 2*(g - 15)**2 Suppose -3/2*j**4 + 192 + 12*j**2 + 9*j**3 - 144*j = 0. What is j? -4, 2, 4 Suppose -16/7*r**3 - 8*r**2 + 96/7*r + 2*r**4 - 2/7*r**5 + 0 = 0. What is r? -2, 0, 2, 3, 4 Suppose 105 - 15 = 2*f. Let n be 795/900 + 3/(f/(-2)). Find r such that 2 + 11/2*r + n*r**3 + 17/4*r**2 = 0. -4, -1, -2/3 Let l = -41852 - -41856. Solve -55/3*t**3 - 92/3*t - l - 51*t**2 = 0. -2, -3/5, -2/11 Let o(f) = f**2 - 2*f - 10. Let p be o(-7). Let j = -50 + p. Let -19*n**3 - 90*n**4 + 36*n**2 + 24*n**j + 16*n - 4*n - 38*n**3 + 75*n**5 = 0. What is n? -2/5, 0, 1 Factor 309/2 + 154*h - 1/2*h**2. -(h - 309)*(h + 1)/2 Find s, given that -102/5 - 7/10*s**2 - 361/10*s = 0. -51, -4/7 Let i(m) = -48*m**4 + 180*m**3 + 1928*m**2 - 172*m - 1940. Let b(z) = 13*z**4 - z**3 + z**2 - z + 1. Let p(k) = 4*b(k) + i(k). Suppose p(j) = 0. Calculate j. -22, -1, 1 Let n(m) be the third derivative of -2*m**6/105 - m**5/35 - 2056*m**2. Factor n(x). -4*x**2*(4*x + 3)/7 Let s(y) be the third derivative of -y**7/630 - y**6/36 - 23*y**5/180 - 7*y**4/36 - 4987*y**2. Factor s(m). -m*(m + 1)*(m + 2)*(m + 7)/3 Let v = 6603 + -33006/5. Let s(c) be the first derivative of -v*c**2 + 1/10*c**4 + 2*c + 6 + 2/5*c**3. Find r, given that s(r) = 0. -5, 1 Let d = -1633119/7 - -232187. Let s = 1116 + d. Factor -6/7*c + s + 6/7*c**2 - 2/7*c**3. -2*(c - 1)**3/7 Let n(y) be the second derivative of 0*y**3 - 1/42*y**7 - 2 - 1/6*y**6 + 0*y**2 - y + 3/4*y**4 - 3/20*y**5. Factor n(l). -l**2*(l - 1)*(l + 3)**2 Let -30 - 5*o**2 + 43 - 625 - 1212 + 104 - 870*o = 0. Calculate o. -172, -2 Let b(h) = -2*h**3 - 2*h**2 + 2*h. Let m(z) = -8*z**3 + 22*z**2 + 70*z. Let k(g) = -3*b(g) + m(g). Find p, given that k(p) = 0. -2, 0, 16 Let z(l) be the second derivative of l**8/2940 - l**7/735 + 30*l**3 - 50*l. Let a(r) be the second derivative of z(r). Factor a(x). 4*x**3*(x - 2)/7 Let z(h) be the third derivative of 9 + 0*h**3 + 0*h**4 + 1/360*h**6 + 0*h + 1/30*h**5 - 3*h**2. Factor z(x). x**2*(x + 6)/3 Let s = 392 - 391. Let v be 17/20 + s - (-110)/275. Factor 0 - 27/8*g**2 + 3/8*g**4 + 1/4*g**3 - v*g. g*(g - 3)*(g + 3)*(3*g + 2)/8 Let t = 1554/19 - 26114/323. Factor t + 4/17*a - 2/17*a**2. -2*(a - 4)*(a + 2)/17 Let l(y) be the first derivative of y**4 - 112*y**3/3 + 392*y**2 - 2523. Factor l(n). 4*n*(n - 14)**2 Let w(u) be the first derivative of -2*u**5/35 - 3*u**4 - 4881. Factor w(i). -2*i**3*(i + 42)/7 Let a = 1368613/364964 + 1/182482. Factor -1/2*q - a + 1/4*q**2. (q - 5)*(q + 3)/4 Let w(h) be the third derivative of h**5/20 - 64*h**4 + 32768*h**3 + 311*h**2. Factor w(a). 3*(a - 256)**2 Let h = -18044 - -2598349/144. Let y(n) be the third derivative of 5/18*n**3 + h*n**4 - 20*n**2 - 1/120*n**5 + 0 + 0*n. Solve y(p) = 0 for p. -2/3, 5 Let c = 341 + -334. Let 2*w + 0*w**5 + 5*w**5 - c*w**4 + 4*w**5 + 7*w**2 - 11*w**3 = 0. Calculate w. -1, -2/9, 0, 1 Determine m, given that 10*m - 51*m + 53*m - 7*m + 64*m + 3*m**2 + 360 = 0. -15, -8 Let d = -30/67 + 1051/402. Let r(f) be the second derivative of -d*f**4 - f**5 + 0 + 20*f**3 + 9*f - 36*f**2 - 1/15*f**6. Find n such that r(n) = 0. -6, 1 Let n(l) = -2*l**5 + 4*l**3 - 2*l**2 - l. Let w(z) = z**5 + 204*z**4 + 3856*z**3 + 13054*z**2 + 12287*z. Let x(f) = -n(f) + w(f). Find p, given that x(p) = 0. -32, -2, 0 Let j(s) be the third derivative of -7*s**6/24 + 4075*s**5/12 - 988915*s**4/8 + 141135*s**3/2 - 171*s**2 + 19. Find b, given that j(b) = 0. 1/7, 291 Suppose -11 = -v - 6. Sup
{ "pile_set_name": "DM Mathematics" }
- w**2 - 15*w**5 + 23*w**5 wrt w? 480*w**2 Let q = -7 + 12. Suppose 0*p = -q*p. Differentiate p - 17*x**2 - 7 + 9*x**2 with respect to x. -16*x Let i = 6804 + -6801. Let x(h) be the second derivative of 16*h + 1/3*h**i + 0 + h**2. What is the first derivative of x(g) wrt g? 2 Let f(c) be the first derivative of -2/3*c**3 - 33/4*c**4 - 128 - 52*c - c**2. Find the second derivative of f(x) wrt x. -198*x - 4 Suppose 0 = 2*k + r + 2*r - 32, -k + 14 = r. Find the second derivative of 128*j**4 + 16*j**3 - 84*j - 6*j**3 - k*j**3 wrt j. 1536*j**2 What is the third derivative of -702*m**5 - 186*m**4 - 259*m**2 + 381*m**4 - 886*m**2 - 195*m**4 wrt m? -42120*m**2 Let p be (-4 - -4)/(2 + 1). Suppose -7*c + 16*c - 18 = p. Differentiate -2*b - 21 + b + 9*b**c + b with respect to b. 18*b Let a be -1*(0 + 2/(-2) + 3). Let n be a/(4/8*-1). Find the third derivative of 29*d**2 + d**4 - 61*d + 61*d + 12*d**n wrt d. 312*d Let c(b) be the first derivative of 266*b**3 + 20*b + 759. What is the derivative of c(p) wrt p? 1596*p Let b(g) = -3*g**3 - g**2 + 3*g - 1. Let v(p) = -7872*p**3 + 4*p**2 - 12*p - 9274. Let y(a) = 4*b(a) + v(a). What is the derivative of y(t) wrt t? -23652*t**2 Let u = 439 + -351. Differentiate -36 + u + 46*h + 145 - 18*h**4 + 3*h**4 - 43*h with respect to h. -60*h**3 + 3 Let i(u) = -4*u + 3. Let q be i(7). Let s be (16/(-20))/(2/q). Find the second derivative of s*v**3 + v + v - 10 + 10 wrt v. 60*v Let h = -194 - -195. Find the third derivative of -3*t**2 - h - 14*t - t**2 + 1 - 5*t**4 wrt t. -120*t Let c(p) = -p**2 + 13*p - 20. Let r be c(9). Suppose -a + r = 4. What is the second derivative of -3*o - 3*o + a*o + 23*o**4 wrt o? 276*o**2 What is the derivative of 1237 - 177*y**2 + 5*y**4 - 4076 - 11*y - 5*y**4 + 4*y**4 - 6*y**4 wrt y? -8*y**3 - 354*y - 11 Let x(q) = -84*q**3 - 82. Let t = -266 + 262. Let h(w) = 82*w**3 + 81. Let s(l) = t*x(l) - 3*h(l). What is the first derivative of s(p) wrt p? 270*p**2 Let u be -3 + 30/(-6) - -35807. Find the first derivative of -221 - 35799*x**2 + 10 - 328*x**4 + u*x**2 wrt x. -1312*x**3 Let b(w) be the first derivative of 4015*w**4/4 - 893*w**2 + 3725. What is the second derivative of b(q) wrt q? 24090*q Let c(i) = -i**2 - 18*i - 12. Let v be c(-17). Find the third derivative of -2*f**2 - 6*f**5 + f**5 + 56*f**5 + v - 4 wrt f. 3060*f**2 What is the third derivative of -204*l**2 - 1154*l**5 + 134*l + 65*l + 29*l + 205*l**2 wrt l? -69240*l**2 Let f = 128 - 126. Find the second derivative of 9 + s + 485*s**f + 478*s**2 - 982*s**2 wrt s. -38 Let o = 180 + -184. Let x(n) = -1. Let u(z) = -31*z**2 - 3. Let d(w) = o*x(w) + u(w). Differentiate d(r) with respect to r. -62*r Suppose 8*o + 210 = 730. What is the derivative of -59*f**3 - 120 - o*f**3 - 120 + 247 + 37*f**3 wrt f? -261*f**2 Let z(b) be the third derivative of 0*b**4 + 0 + 0*b**3 - 7*b**2 - 71/30*b**5 + b**6 + 2*b. Find the third derivative of z(h) wrt h. 720 Suppose 5*o = -0*o + 5. Let l(y) = -y**3 + 76*y**2 + 238*y - 77. Let p be l(79). Differentiate -3*t**p + o - 12 - 7 - 8*t**2 wrt t. -22*t Let j(y) = y**3 + 9*y**2 + 15*y + 11. Let a be j(-7). What is the third derivative of -5430*k**2 + 5494*k**2 - 6*k**a - 5*k**3 - 2*k**3 wrt k? -144*k - 42 Let d(p) = 372*p**2 - 20*p. Let a(b) = 383*b**2 - 24*b. Let j(s) = 3*a(s) - 2*d(s). What is the second derivative of j(f) wrt f? 810 Let n be 4 + 0*(-3)/(-18). What is the second derivative of -1 - 14*t + 4*t**4 + 6*t**3 + 0*t**n - 24*t**3 + 7*t**3 wrt t? 48*t**2 - 66*t Let k(t) be the third derivative of 5*t**9/504 + 17*t**7/14 + 1721*t**5/60 + t**2 - 8*t + 60. What is the third derivative of k(g) wrt g? 600*g**3 + 6120*g Let n(i) be the third derivative of -1559*i**4/12 - 1273*i**3/3 - 42*i**2 + 9*i + 2. Differentiate n(o) with respect to o. -3118 Let u(w) = 3*w**2 + 2*w - 5. Let p be u(3). Find the second derivative of -20*v - 15*v**3 + 4*v**3 + p*v**3 wrt v. 102*v What is the second derivative of -8498*d - 917 - 43*d**5 + 8497*d + 2*d**3 + 7 wrt d? -860*d**3 + 12*d Let g(l) = 158*l - 178. Let f(k) = 24*k + 1. Let m(a) = -70*f(a) + 5*g(a). Find the first derivative of m(s) wrt s. -890 What is the second derivative of 26 - 13 - 3 - 6 - 264*b - 492*b**2 - 5 wrt b? -984 What is the second derivative of -18*h**4 + 1032*h + 718*h - 842*h + 192*h**4 + 722*h wrt h? 2088*h**2 What is the derivative of 34*z - 125*z - 183*z - 453 wrt z? -274 Let g(f) = 508*f**2 + 33*f + 2762. Let d(h) = 101*h**2 + 6*h + 552. Let i(u) = -22*d(u) + 4*g(u). What is the first derivative of i(b) wrt b? -380*b Let i(z) be the first derivative of -5*z**3 + 6*z**2 - 845*z + 864. What is the first derivative of i(m) wrt m? -30*m + 12 Let v(s) = s**3 + s**2 - 5*s + 3. Let p(j) = -9*j**4 - 76*j**3 + 4*j**2 - 72*j + 8. Let i(h) = p(h) - 4*v(h). What is the second derivative of i(y) wrt y? -108*y**2 - 480*y Let u(f) be the third derivative of -18*f**2 + 0*f**3 + 7/8*f**6 + 5/12*f**4 + 0 + 0*f**5 - 2*f. What is the second derivative of u(k) wrt k? 630*k Find the third derivative of -192*s**6 - 803*s**6 - 703*s**6 + 1019 + s**2 + 547*s**6 wrt s. -138120*s**3 Let w(h) be the second derivative of -119*h**6/10 - h**5/20 + 1795*h**4/12 + 128*h + 1. What is the third derivative of w(r) wrt r? -8568*r - 6 Let a(l) = 8*l + 1 - 24*l + 17*l. Let x(c) = 13*c**2 + c + 4. Let m(d) = -6*a(d) + 2*x(d). Find the second derivative of m(j) wrt j. 52 Suppose -y = -3*l + 1, 0 = 11*l - 12*l + y - 3. Let m(d) be the first derivative of -15/2*d**l + 9 - 10*d. What is the derivative of m(s) wrt s? -15 Let m(u) = -3*u**2 + 2*u + 1. Let p be m(2). Let j be 4/2*p/14*0. Find the second derivative of -1561*h - 42*h**2 + 1521*h + j*h**2 wrt h. -84 What is the second derivative of -1627*z + 4 - 4 + 817*z**2 + 489*z + 439*z**2 wrt z? 2512 Let p = 144 - 116. Let h be p/(-21) + (-175)/(-3). Find the second derivative of -35*v + 26*v + 22*v**2 + h*v wrt v. 44 Find the third derivative of -103*c**4 + 1 + 34*c**4 - 7*c**3 + 711*c**2 - 3248*c**2 + 31*c**4 + 45*c**4 wrt c. 168*c - 42 Let h(x) be the second derivative of -57*x + 0*x**4 + 0*x**2 - 3/5*x**6 + 0*x**5 + 0 + 28/3*x**3. Find the second derivative of h(u) wrt u. -216*u**2 Let c(x) = -3*x**2 - 3*x - 2. Let z(q) = -1957*q**2 - 3594*q - 4. Let r(k) = 2*c(k) - z(k). What is the second derivative of r(i) wrt i? 3902 Let r = 8046 + -8046. Let k(c) be the first derivative of 0*c**5 + 6*c**2 + 0*c + r*c**4 + 0*c**3 - 29/6*c**6 - 12. What is the second derivative of k(h) wrt h? -580*h**3 Let q(d) be the third derivative of -213*d**6/20 + d**5/30 + 13*d**4/12 - 1195*d**2. Find the third derivative of q(g) wrt g. -7668 Let c(r) be the first derivative of -48*r - 1 + 0*r**3 + 0*r**2 + 61/4*r**4. Differentiate c(g) wrt g. 183*g**2 Let q(j) be the first derivative of 0*j**4 + 0*j**3 - 35/2*j**2 + 4*j - 23 - 17/20*j**5. Let f(u) be the first derivative of q(u). Differentiate f(y) wrt y. -51*y**2 Suppose -5*w = -5*w - 4*w. Suppose w = -5*d + 5*b + 115, -6 = 3*d - 2*b - 71. Find the third derivative of t**6 - d*t**6 - 27*t**2 - 3*t**2 wrt t. -2160*t**3 Let k be (105/70)/((-2)/(-108)). Differentiate -767 + 302*w**2 + 774 - k*w**2 wrt w. 442*w Let x(w) = -w**3 + 22*w**2 - 2*w + 787. Let c(d) = 5*d**3 - 143*d**2 + 13*d - 4723. Let k(l) = 4*c(l) + 26*x(l). What is the first derivative of k(u) wrt u? -18*u**2 Let g(m) be the third derivative of -182*m**5/15 - m**4/24 + 2849*m**3/6 + 65*m**2. Find the second derivative of g(h) wrt h. -1456 Let o = 3365/1194 + 3/199. Let x(t) be the second derivative of 18*t - o*t**3 - 3/4*t**4 + 0 + 0*t**2. Find the second derivative of x(a) wrt a. -18 Let i(z) be the first derivative of -2*z**3/3 + 331*z**2 + 1663*z + 5245. Differentiate i(q) with respect to q. -4*q + 662 Let v(q) be the third derivative of 677*q**7/210 + 2591*q**3/3 + 295*q**2 + 7. What is the first derivative of v(l) wrt l? 2708*l**3 Let p(w) be the second derivative of -w**6/10 - 88*w**3/3 + 849*w**2/2 + 337*w. What is the derivative of p(k) wrt k? -12*k**3 - 176 Let x(q) be the third derivative of 3563*q**6/120 + 3*q**5/20 - q**4/24 + 77*q**3/3 + 22*q**2 + 48*q. Find the third derivative of x(v) wrt v. 21378 Let r(g) be the third derivative of -51*g**7/35 - 538*g**3/3 + 2031*g**2. Find the first derivative of r(t) wrt t. -1224*t**3 What is t
{ "pile_set_name": "DM Mathematics" }
(b) -1 (c) w b Let g = 6/329 - -3583/1974. Let b be -6*38/(-76)*(24/9)/4. What is the closest to b in g, 2/3, -2? g Let q = -81 + 80. Let z = -42 + 45. What is the nearest to -2 in q, z, 2/33? q Let l be (-12)/(-15) + (-6 - 210/(-25))/(-2). Which is the closest to l? (a) -0.5 (b) 10/7 (c) -2 a Let y = 1.10407 + -0.10407. Which is the closest to -0.06? (a) -3 (b) 1/2 (c) y (d) 5/8 b Suppose 448*d + 228 = 454*d. Which is the nearest to d? (a) -4 (b) -2/7 (c) 0.1 c Let h be (-260)/30 + (-170)/(-16) + 70/(-112). Let q be (-10)/(-18) + 4/(-18). Which is the nearest to q? (a) h (b) 5 (c) -1 a Let v = -0.4175 - 2.5825. Let k = -46/5 - -424/45. Let o = -0.4 + -0.1. What is the closest to 2 in o, k, v? k Let b = -12399/5 - -2479. What is the nearest to 2/17 in -9, b, -3, 0.1? 0.1 Suppose -304 = -7*j - 290. Let l(h) = -h**3 - 32*h**2 + 31*h - 67. Let y be l(-33). Which is the closest to -1? (a) y (b) j (c) 0.5 a Let i = 1221.2 + -1221.2. What is the closest to i in 0.004, 2, -2/11, -0.1? 0.004 Let f = 26569/3384 - -10/423. Let s = 20/3919 - -865619/94056. Let o = f - s. What is the closest to 0.1 in 2/15, o, -3? 2/15 Let z = -1/2308 + 124637/11540. What is the closest to 1 in 2/5, 2/7, 1/2, z? 1/2 Let i(q) = 5*q + 26. Let z be i(-5). Let p be (-21)/8 + z + 2/4. Let g = p - -137/136. Which is the closest to 2/7? (a) 1/2 (b) 0 (c) g a Let w = 3.2 + -28.2. Let u = w - -24.6. Let r = -419 - -429. Which is the nearest to r? (a) 3 (b) -3/2 (c) u a Let t = -4479.5 - -4480. Which is the nearest to 2? (a) -11 (b) t (c) 1 c Let q be (3 + 1 + -4)/5. What is the closest to -0.064 in 2, -0.4, q? q Let z(n) = n**2 + 60*n - 769. Let v be z(11). What is the closest to 30 in -0.1, -0.4, v? v Suppose 5*v + 3*y = 445, 2*y + 29 = v - 73. Let d be v/(-15) - 24/(-40). Let h = 13/3 + d. Which is the nearest to h? (a) 1/6 (b) 1/4 (c) 1 a Let u be (1*(-10)/4 + 5)*224/(-140). Which is the closest to 5? (a) 4 (b) -2/185 (c) u a Let j = 0.1937 + 4.8063. What is the closest to 65 in j, -7/8, -1? j Let g(h) = -12*h + 6. Let k be g(0). Let p = 341/10 + -34. Suppose s - 2*r - 2*r = 20, r + 12 = 2*s. Which is the nearest to 1? (a) s (b) k (c) p c Let t = -0.01008 - 0.03992. What is the nearest to 3/7 in t, 0.5, -2/7? 0.5 Let s = 0.7 - 1. Let k = 268 + -267.891. Let g = k + 0.091. Which is the nearest to 1/2? (a) s (b) g (c) -0.4 b Let u = 264507/7 + -37787. Suppose -6*h - 12 = -2*h. Which is the closest to u? (a) h (b) -0.5 (c) -0.01 b Let h = -2621.8 - -2622. What is the closest to -5 in -2/7, -0.02, h, -5? -5 Let f = -1129/6594 + 5/1099. What is the nearest to f in -0.039, -4, 0? -0.039 Let v be 16/24 - 22*4/114. Let m be 1/(-1*(-1)/(-1))*-8. Let d be -6 - (9 + -5 - m). Which is the closest to -1? (a) 3 (b) d (c) v c Let r = -33 + 65/2. Let z = -0.6 - 1.4. Let y = -198839/8 - -24855. What is the closest to z in 1/3, y, r? r Let l = 0.3 - 0.2. Let z = 1488.9 - 1488.6. What is the nearest to -1 in -0.5, l, z, 4/3? -0.5 Let p = -4918.6 + 4920. Which is the nearest to 2? (a) 0.4 (b) -2/17 (c) 3 (d) p d Let g = 2768413/13 - 212955. Suppose s + 2*s - 12 = 0. What is the nearest to -0.042 in s, -1/6, g? g Let b = 157 - 148. Suppose -5*g + 42 = 4*i - 1, -b = -3*g. What is the closest to i in 0.2, -3, 0? 0.2 Let z = -133383 - -400147/3. Let j = 1 - 0.6. Which is the nearest to z? (a) 5 (b) -1.24 (c) 4 (d) j b Let s = 163.34 - 164. Let o = 0.56 + s. Which is the nearest to -2/7? (a) o (b) 1 (c) 5 a Let x = 3 + 2. Suppose 0 = 62*d - 54*d - 4136. Let g = 2583/5 - d. Which is the nearest to 0? (a) x (b) -0.5 (c) g c Let o = -2143 - -2138. Let u be 3/4 - (-2)/(-8). Let g be (-4)/6*(1 - 7). Which is the closest to u? (a) 0.2 (b) o (c) g a Let v = 5051.9 + -5052. What is the nearest to -0.01 in v, -1/3, 17, 0.1? v Let f = 0.15389 - 0.15389. What is the closest to -5/4 in -0.3, -1.8, f? -1.8 Suppose -123 = 62*j + 66*j + 133. What is the nearest to -2/3 in j, -4, -0.3, -8? -0.3 Let r(l) = -l**3 + 4*l**2 - 7*l + 4. Let u be r(4). Let z be (7/((-5985)/(-10)))/(2/u). Let p = z - -9/19. Which is the closest to 0? (a) -0.3 (b) p (c) -2 a Let h = 2.1 + -0.1. Let s = 0.9 - 0.6. Let n(x) = -928*x - 10211. Let o be n(-11). Which is the nearest to h? (a) 3 (b) s (c) o a Let v = 0.296 + 0.48. Let u = v + -0.376. What is the closest to -1/5 in u, 0, -2/7, -2? -2/7 Let i = -2 - 2. Let g be 39*((-45)/60)/((-18)/16). Let r be 74/g - (7 + -4). Which is the nearest to 1? (a) -5 (b) i (c) r c Let z = 14 - 14.5. Let d = -118 - -130. Let m be (72/d)/(2 + -2 + 4). Which is the nearest to 0? (a) m (b) -2/5 (c) z b Let w = 283 + -282.82. Let x = w + -5.18. Which is the nearest to 15/4? (a) 5 (b) x (c) -3 (d) 1/5 a Let h = -0.8 - 2.2. Let z be (-155)/62*8/(-20). What is the nearest to 0 in z, -1/3, h? -1/3 Let q(x) be the third derivative of -5*x**4/24 + 23*x**3/6 + 73*x**2. Let j be q(1). Which is the nearest to -1? (a) 5 (b) -2/23 (c) j b Let z = -2249 - -2254. What is the closest to -7 in z, -4, 19? -4 Let z = -1969 + 5909/3. Which is the closest to z? (a) -3/2 (b) 0 (c) 5 (d) 0.5 d Let j = -271 - -361. Let z be ((-8)/(-14))/(60/j). Which is the nearest to 0? (a) 6/5 (b) -1 (c) 2 (d) z d Let p = 60 + -32. Let g = 16 + -40. Let t = p + g. Which is the nearest to -6/5? (a) 5/6 (b) -0.3 (c) t b Let n be -10 + (238/51 - 4/(-12)). Which is the nearest to 3? (a) -9 (b) -3 (c) -1 (d) n c Let o = 0.275 + -14.175. Let d = o - -14.1. Which is the closest to 2/7? (a) -4/9 (b) d (c) -0.2 b Let k = 10.1 - 10. Let t(s) = 154 + 154 + s**3 - 6*s**2 - 301 - 8*s. Let q be t(7). Which is the closest to k? (a) q (b) 2 (c) -2/7 a Let q = -7995 - -7995. Which is the closest to -0.3? (a) q (b) -15 (c) -4 a Let t = 0.76 + 48.24. Let q = t - 64. Let j = q - -14.9. Which is the nearest to 2/3? (a) -5 (b) 0 (c) j b Let b = -0.3 - -0.2. Let h be (-17)/(29 - 1 - 29). What is the closest to h in 5, b, -1/3? 5 Let q(o) = 4*o + 52. Let r be q(-13). Let w = -5524 - -5522. Which is the closest to r? (a) -0.2 (b) w (c) -11/4 (d) -5 a Let l = -48.142 + 46.142. Let v = 3 + -8. Let k = 1 + -1.1. What is the closest to k in -3/7, l, v? -3/7 Let r be 1183/182 + (-77)/22. Let q be (-2)/5*(-30)/8. Which is the closest to -1? (a) r (b) -0.3 (c) 0.2 (d) q b Let k = -725396/75 - -9672. What is the closest to -0.3 in k, 5/4, -2/3? k Let z = 5690 - 5691. Let s = 0.3 + -5.3. What is the nearest to z in -11, s, 2/3? 2/3 Let w be 2*((-132)/(-144) - 1). Suppose d + 0*d - 4 = 0. Let q = -5 + d. Which is the closest to q? (a) w (b) 3/4 (c) 5 a Let c = -0.1455 - -0.2755. What is the nearest to -49/3 in 0.5, c, -2/9? -2/9 Let u = 0.0248091 - 2.0248091. Let c = 6 - 22. What is the nearest to 0.2 in -3/5, u, c? -3/5 Let t = 0.55643 - 0.05643. What is the closest to -0.2 in -1.2, t, 1/4? 1/4 Let b be (-155)/(-15) - (-2)/(-6). Let d(y) = -y + 10. Let i be d(b). Let o = 1044.05 + -1044. What is the nearest to o in -3/7, i, -1/4? i Let q(b) = -2*b**3 + 7*b**2 - 6*b - 12. Let v be q(3). What is the nearest to 3 in v, -11, 5? 5 Let t be 5 + 105/540*-26. Which is the nearest to 1? (a) -0.4 (b) 1/4 (c) 2 (d) t b Let d = -112.18 - -113.18. What is the nearest to d in -383, -4, 0.3? 0.3 Let j = -0.78 + -40.22. Let l = j - -41.3. Let u = 0.1 - l. What is the nearest to 1 in 0.5, u, -1? 0.5 Let u = 0.8114 - -95.2486. Let z = 96 - u. Which is the closest to z? (a) -0.2 (b) -1/3 (c) -0.8 a Let z = -5.07 + 0.07. Let d = 181 - 151. Let p = d - 26. Which is the nearest to 2/11? (a) z (b) p (c) 2/15 c Let x be -13 + (11 - 4) + 4. Let y = -288 + 286. Which is the closest to y? (a) -1/9 (b) x (c) 1 b Let h = -0.03 - 0. Let y = 20.5 + -17. Let q = -3 + y. What is the nearest to h in q, -4, 0.4? 0.4 Let i be 30/28*16/10. Let d be 4/(-34) - (-1322592)/(-3536). Let r = d + 374. Which is the nearest to i? (a) 0 (b) -1 (c) r a Let g = 7 + -12. Let r be (g/(-2))/(20/16). Let q = -110 + 552/5. Which is the closest to q? (a) r (b) -0.2 (c) -2 b Let b = -0.1 - -0.1. Let p = -3465 + 4399.5. Let u = p - 935. What is the nearest to -1 in -2/25, u, b? u Let p = -65 - -54. Let y = -52 + p. Let g = y + 62.7. Which is the closest to g? (a) 2 (b) -0.3 (c) 0 b Let j = -2260
{ "pile_set_name": "DM Mathematics" }
m. -4*m**3 + 39*m**2 Let d(h) be the second derivative of -2*h + 0*h**6 + 0*h**4 + 0 - 7/6*h**3 + 0*h**5 + 0*h**2 + 5/42*h**7. Find the second derivative of d(k) wrt k. 100*k**3 What is the third derivative of 36 - 2*c**2 + c**6 - 36 wrt c? 120*c**3 Let x be (-4)/(-14) - (-36)/21. What is the second derivative of 0*m**2 + 3*m**3 - 2*m**3 + 0*m**x + m wrt m? 6*m Let c(t) be the third derivative of -t**6/12 + t**4/8 - 11*t**2. What is the second derivative of c(v) wrt v? -60*v Let y = -13 - -43. Find the second derivative of y*d**2 - 3*d**5 - 2*d - 30*d**2 wrt d. -60*d**3 Let l(i) = -4*i + 6. Let k(g) = g + 5. Let o be k(-8). Let p(y) = 4*y - 5. Let u(s) = o*l(s) - 4*p(s). What is the derivative of u(n) wrt n? -4 Let i(q) be the first derivative of q**3/3 + 2*q - 1. Let u be i(0). Find the third derivative of -r**u + 9*r**4 - 3*r**4 - 4*r**4 wrt r. 48*r Suppose -2*m + 0*m = 3*k - 34, 5*m = -3*k + 49. Suppose -k*f + 10 = -3*f. What is the second derivative of f*c**4 - 3*c + 0*c**4 + c**4 wrt c? 36*c**2 Let x = -2 - -6. Find the second derivative of 57*n**4 - 5*n**5 - 57*n**x - 7*n wrt n. -100*n**3 Let o(j) be the third derivative of -j**9/5040 + j**5/40 - j**4/8 + 3*j**2. Let x(s) be the second derivative of o(s). What is the derivative of x(u) wrt u? -12*u**3 Let m(b) = -b**4 + b**2 + b - 1. Let p(a) = -7*a**4 + 5*a**2 + 6*a - 6. Let l(u) = -6*m(u) + p(u). What is the third derivative of l(y) wrt y? -24*y Let c(v) be the first derivative of -6*v**2 - 9*v - 11. What is the first derivative of c(x) wrt x? -12 Let p(q) be the first derivative of -3*q**4/4 + 2*q**3 - 4. What is the third derivative of p(x) wrt x? -18 Let t(z) be the third derivative of 19*z**9/252 - 2*z**5/3 + 13*z**2. What is the third derivative of t(q) wrt q? 4560*q**3 Let l = 25 + -24. Let q(b) be the first derivative of 2*b + l + 3/2*b**2. What is the first derivative of q(a) wrt a? 3 What is the derivative of -y**3 + 57 - 28 - 21 - y**3 wrt y? -6*y**2 Let h be 12/10*5/2. Suppose -3*u - 1 = -5*b, -2*b + b = -3*u + 7. What is the third derivative of 0*j**h - j**2 + 0*j**b - j**3 - 2*j**3 wrt j? -18 Let r(v) be the third derivative of 0 + v**3 + 0*v**4 - 1/12*v**5 + 5*v**2 + 0*v. Differentiate r(b) wrt b. -10*b Let c be (-3 - (-2 - -2)) + 5. What is the third derivative of y**4 + 4*y**2 + 0*y**c + 0*y**4 - 2*y**4 wrt y? -24*y Let r(k) = -5*k**3 - 5*k + 8. Let o(t) = -t - 11. Let a be o(-6). Let g(i) = i - 1. Let h(v) = a*g(v) - r(v). Differentiate h(d) wrt d. 15*d**2 Find the third derivative of -j**5 + j**6 + 35*j**2 + j**5 - 30*j**2 wrt j. 120*j**3 Let x(r) be the first derivative of -4*r**2 - 2*r - 5. Let y(h) = 4 + 10*h - 3*h + 10*h. Let k(v) = -13*x(v) - 6*y(v). Differentiate k(a) with respect to a. 2 Let o = 13 - 9. Let u be (-2 + o + -2)/(-2). Find the third derivative of 2*v**5 - 3*v**2 + u*v**5 + 5*v**2 wrt v. 120*v**2 Let s(b) be the second derivative of b**7/2 - 13*b**3/6 - 26*b. Find the second derivative of s(x) wrt x. 420*x**3 Suppose 4*z - 24 = -0. Suppose -u = u - z. Find the third derivative of a**u + 2*a**3 - 3*a**2 + 4*a**2 wrt a. 18 Let z(g) = 3*g**2 + g. Let t be z(-1). Differentiate 2 - 4 + 5 + 3*k**t wrt k. 6*k Find the second derivative of 28 + 10*q - 28 + 9*q**4 wrt q. 108*q**2 Let x(t) = t**3 + 2 + 4 + 5*t + 3*t**3. Let s(r) = -2*r**3 - 2*r - 3. Let w(h) = -5*s(h) - 2*x(h). Differentiate w(q) wrt q. 6*q**2 Let m be -1*(1 + -2 + 1). Suppose 5 + m = -h, -5*z - 5*h - 10 = 0. Find the first derivative of 3 + 0*f + z*f + f**2 - 3*f wrt f. 2*f Let a = -2/61 - -73/366. Let j(f) be the third derivative of 0*f - a*f**3 + 0 - 1/6*f**4 + f**2. Differentiate j(l) with respect to l. -4 Let x(l) = -l**2 - 5*l + 6. Let s = 3 - 8. Let f be x(s). Find the second derivative of -4*c**5 - f*c + 2*c - c**4 + c**4 wrt c. -80*c**3 Let k(m) = m. Let y be k(-1). Let b = y - -3. What is the third derivative of -3*f**5 - 9 + 9 + 3*f**b wrt f? -180*f**2 Let b(z) be the second derivative of 0*z**2 - 1/12*z**4 - 1/2*z**3 + 0 - 3*z. What is the second derivative of b(r) wrt r? -2 Let x(j) = -j**4 - j**3 + j**2 - j - 1. Let l(k) = 20*k**4 - 3*k**3 + 3*k**2 - 3*k + 34. Let y(f) = l(f) - 3*x(f). What is the first derivative of y(s) wrt s? 92*s**3 Let l(y) be the third derivative of 11*y**5/60 - 8*y**3/3 - 7*y**2. What is the derivative of l(p) wrt p? 22*p Let t(d) be the second derivative of 8*d**4/3 - 4*d**3/3 - d**2/2 - 27*d. Find the second derivative of t(z) wrt z. 64 Let m(j) = -12*j**2 + 7*j - 7. Let v(c) = c**4 - c**2 + c - 1. Let q(b) = 2*m(b) - 14*v(b). Find the third derivative of q(z) wrt z. -336*z Let p(b) = 4*b - 2*b - b. Let x be p(5). What is the second derivative of 0*r - 2*r**5 + 4*r**x - 3*r wrt r? 40*r**3 Let t(k) be the second derivative of k**5/30 - k**4/24 + k**3 - 7*k. Let m(v) be the second derivative of t(v). What is the first derivative of m(p) wrt p? 4 Let g = 2 - -1. Suppose s - 8 = -g*s. What is the second derivative of -n - s*n**5 + 3*n**5 - 2*n wrt n? 20*n**3 What is the third derivative of -4*f**6 + 8*f**2 + 2*f**6 - 5*f**6 + f**6 wrt f? -720*f**3 Let q(h) = -11*h**4 + 10*h. Let n(i) = -54*i**4 + 49*i. Let y(w) = 2*n(w) - 11*q(w). What is the second derivative of y(s) wrt s? 156*s**2 Let x(t) be the second derivative of -7*t**5/20 + t**4/4 + 7*t. Find the third derivative of x(m) wrt m. -42 Let n be 156/96 - (-3)/8. Let a(y) be the first derivative of 3/4*y**4 - 4 + 0*y + 0*y**3 - 1/2*y**n. Find the second derivative of a(d) wrt d. 18*d Let w(r) be the first derivative of 0*r**3 + 0*r**2 + 2*r + 2/5*r**5 + 0*r**4 - 5. Differentiate w(o) wrt o. 8*o**3 Let c(k) be the second derivative of k**9/1512 - k**5/40 - k**3/6 + 2*k. Let h(i) be the second derivative of c(i). Find the second derivative of h(x) wrt x. 40*x**3 Let p(j) be the third derivative of 0*j**4 + 0 + 0*j - 5/3*j**3 + 1/20*j**5 + 8*j**2. Differentiate p(s) with respect to s. 6*s Let r(m) = -44*m - 40. Let f(a) = -9*a - 8. Let q(z) = 28*f(z) - 6*r(z). Differentiate q(w) with respect to w. 12 Let g(i) be the third derivative of i**8/560 - i**4/24 + i**3/3 - i**2. Let u(y) be the first derivative of g(y). Differentiate u(d) with respect to d. 12*d**3 Let p be (-54)/(-13) - (-2)/(-13). Let z(v) be the second derivative of 2*v + 0 + 1/6*v**p + 1/2*v**2 + 0*v**3. Differentiate z(j) wrt j. 4*j Differentiate -8*w**3 + 2*w**3 - 10 + 4 with respect to w. -18*w**2 Let c(r) be the first derivative of -1 + 1/3*r**3 + 0*r + 0*r**4 - 4/5*r**5 + 0*r**2. Find the third derivative of c(u) wrt u. -96*u Let s(t) be the second derivative of 0*t**6 + 0*t**2 + 0*t**3 + 0*t**5 + 1/14*t**7 - 5/12*t**4 + 0 + 5*t. What is the third derivative of s(g) wrt g? 180*g**2 Let z(s) be the third derivative of s**6/30 + s**5/12 - 8*s**2. Find the third derivative of z(l) wrt l. 24 Let x(f) be the first derivative of -f**5/5 + 17*f**4/4 + f**2/2 + 2*f + 8. Find the second derivative of x(c) wrt c. -12*c**2 + 102*c Let c(u) = u**3 + u + 12. Let t be c(0). What is the derivative of t*h - 8 - h**3 - 12*h wrt h? -3*h**2 Let s(q) be the first derivative of q**4/2 + 6*q**2 - 2. What is the second derivative of s(a) wrt a? 12*a Let x(u) be the second derivative of -3*u**5/5 - 19*u**4/12 + 20*u. Find the third derivative of x(r) wrt r. -72 Suppose -k = -5*k. Let g(b) be the second derivative of 0*b**3 + 1/4*b**4 + 3*b + 0*b**2 + k - 1/10*b**5. What is the third derivative of g(w) wrt w? -12 Let i(q) be the second derivative of 5*q**3/2 + q**2/2 + q. Differentiate i(t) wrt t. 15 What is the third derivative of 5*f**2 + 4*f**2 - f**3 - 5*f**2 wrt f? -6 Let v(m) be the first derivative of 14*m**4 + 13*m**3/3 - 33. Find the third derivative of v(b) wrt b. 336 Let j be 8/(-24) - 2/(-6). What is the first derivative of -3 + j + 5 - 3*a**2 wrt a? -6*a Find the third derivative of -28*u**6 - 2*u**2 - 305*u**3 + 8*u**2 + 305*u**3 wrt u. -3360*u**3 Let t(x) be the third derivative of x**5/10 - 5*x**4/12 + 8*x**2. What is the second derivative of t(o) wrt o? 12 Differentiate -9*d + 11*d**3 - 3*d + 22 + 12*d wrt d. 33*d**2 What is the second derivative of -w**3 + 6*w**3 - 2 + 11*w**2 - 9*w - 3*w**3 wrt w? 12*w + 22 What is the third derivative of -13*i**2 + 2*i**4 - 2*i**4 - 9*i**4 wrt i? -216*i Let q(c) = -c**2 - 8*c + 4. Let u be q(-8). Find th
{ "pile_set_name": "DM Mathematics" }
5*l + 5*r, -2*l - 4*r - 1 = 247. Is 14 a factor of (l/9)/((-8)/x)? False Suppose 5*m + 25 = 0, 557 = 3*v - 3*m - 187. Is 9 a factor of v? True Suppose 3*o - 12 = 0, -96 = 5*r - 2*o + 22. Does 6 divide 0 - -22 - (-26 - r)? False Suppose 0 = 5*o - 5*u + 45, -6*o + o - 3*u - 5 = 0. Is (-6)/(-4) + (-370)/o a multiple of 14? False Let a be (-7)/((-21)/(-30))*(-12)/(-30). Does 4 divide ((80/14)/a)/((-1)/7)? False Let n(p) be the second derivative of -5*p + 0 + 1/6*p**3 + 0*p**2 + 11/4*p**4. Is n(-1) a multiple of 20? False Let r be (-1896)/(-15) + (-4)/10. Suppose 3*l + 0*l - r = 0. Suppose 4*o - 135 = v + 109, o - l = 5*v. Does 16 divide o? False Suppose 3*w - 2155 = 1844. Is 43 a factor of w? True Suppose 20*h = 1176 + 4664. Does 17 divide h? False Suppose 10*l - 5145 = 4655. Is 7 a factor of l? True Is 42 a factor of 5895/35 + 3/(-7)? True Let j be -3 + (2 + 2 - -1). Suppose -r - j*r = 0. Suppose r*a = a - 13. Is a a multiple of 12? False Suppose 0*t - l = 2*t - 9, -7 = -t - l. Let u be -33 + 72 - (0 + 1). Suppose t*b = 5*j + 128, 0*b - 4*j + u = b. Is b a multiple of 9? True Suppose 5*t = -3*w + 4*t + 784, -3*w - 4*t = -769. Suppose z + a = 57, -4*z + 5*a + w = 2*a. Suppose -6 = 4*x - x, 2*x = -3*n + z. Is 9 a factor of n? False Let k(m) = -24*m + 29. Does 7 divide k(-2)? True Suppose 2*p = -p, 3*b + 3*p = 0. Let g(t) = t**3. Let q be g(b). Suppose q = -11*z + 6*z + 125. Is 14 a factor of z? False Suppose 5*z + 4*u + 4 = 0, 5 - 3 = 5*z - 2*u. Let m(k) = -k + 10. Let x be m(z). Does 6 divide (-2)/x - 212/(-10)? False Let v(y) = 3*y**2 + 6*y - 2. Let i be v(-3). Let p(q) = -2*q - 1. Let n be p(i). Is 7 a factor of n/(-6)*(-148)/(-10)? False Let l = -18 - -10. Let d = 13 + l. Suppose 0*n = 4*n - 4*t - 24, t + 26 = d*n. Is 5 a factor of n? True Suppose 0 = -2*g + 4 + 60. Suppose d = -0*d. Suppose -g = -d*k - k. Does 16 divide k? True Suppose 0 = 96*p - 94*p - 1352. Is 13 a factor of p? True Let n(j) = -j**2 - 7*j - 4. Let d be n(-5). Suppose d = -2*q, -4*o + q = -4*q - 207. Does 24 divide o? True Suppose 0 = -d - 3*o + 2*o + 302, d - 317 = 2*o. Is d a multiple of 28? False Suppose -202 = -3*i + 47. Suppose -18 - 3 = -k - 5*z, 0 = -5*k - 3*z + i. Suppose k = b + b. Does 2 divide b? True Suppose 2010 + 720 = 2*q. Is 65 a factor of q? True Let o(i) be the second derivative of -i**8/6720 + i**7/504 + i**6/240 - i**5/120 + i**4/12 + 5*i. Let j(g) be the third derivative of o(g). Does 5 divide j(5)? False Let o(s) = 8*s**2 + 2*s + 7. Suppose -a - 2*t = -3*a + 4, 2*a - t - 6 = 0. Does 13 divide o(a)? True Suppose -31*n + 33000 = -9*n. Is 50 a factor of n? True Let u = 1088 - 430. Does 29 divide u? False Let i(t) = t**3 + t**2 + t - 7. Let z be i(0). Let r(f) = -f**2 - 8*f - 1. Let g be r(z). Let v(w) = -w**3 + 9*w**2 - 11*w + 3. Does 15 divide v(g)? True Let l be 0 + ((-12)/(-4) - 2). Is 13 a factor of 2 + 4*(5 + l)? True Let q(w) = -29*w - 47. Let a(v) = -10*v - 16. Let c(x) = 8*a(x) - 3*q(x). Let j be c(11). Let r = -54 + j. Is 13 a factor of r? False Let g = -124 - -118. Let k(u) = -17*u - 18. Is k(g) a multiple of 12? True Suppose 17*b - 2185 = 1572. Is b even? False Let j(m) = -5*m**2 + 17 - 125*m + 116*m + 22*m**2. Is 11 a factor of j(3)? True Let i be 2/(-3) + (-32)/(-12). Suppose -5*s + 85 = 5*m, 5 = 3*m + i*s - 42. Does 6 divide m? False Suppose d = 22*d - 189. Let y be (2 + -4)/((-2)/119). Suppose -y = -4*z + d. Is z a multiple of 7? False Let o(l) be the second derivative of -89*l**3/3 - l**2/2 - 15*l. Is 20 a factor of o(-1)? False Suppose -6*w + 2391 = -3*w. Let m = w + -501. Suppose 5*u = -r + 824 - m, 3*u - 4*r = 303. Does 21 divide u? True Let p(d) = -d**2 + 22*d + 17. Suppose -z - 11 = -2*z. Let u be p(z). Suppose q = -2*q + u. Does 13 divide q? False Suppose -2*z + 30 = 3*z. Suppose 2*x + a - z = 0, 3*x - 9 = -a + 3*a. Suppose -x*p = y - 25, -6*p + 2*p = -4. Is 11 a factor of y? True Let d be 82/(-3)*(-7 + (-66)/(-12)). Suppose -4*p + d + 43 = 0. Does 21 divide p? True Let j(z) = z - 3. Let d be j(-20). Is d/((3 + -4)*1) a multiple of 23? True Let m(j) = -21*j + 636. Is m(-5) a multiple of 3? True Let t(g) = -g**2 - 11*g + 6. Let z be t(-10). Suppose 0 = k - 56 - z. Is k a multiple of 24? True Let g = 110 + -291. Let o = 369 + g. Is 19 a factor of o? False Suppose -15*b + 118 + 437 = 0. Does 21 divide b - (-3 - (-1)/(4/12))? False Let x = -5 - -9. Suppose 3*r - 501 = -3*t, -x*t - 2*r + 6*r + 684 = 0. Suppose 0 = -4*n + 2*j + 212, 0 = 3*n + j - 5*j - t. Is 17 a factor of n? True Suppose 0 = 3*n - l + 3*l - 15, -6 = 2*l. Suppose -n*i + 840 = -0*i. Is 11 a factor of i? False Let m(v) = 3*v**2 + v + 8. Let h be (-11 + 4 - -4)/(-1). Let d be m(h). Suppose -l - d = -2*l. Is 11 a factor of l? False Let a(t) be the third derivative of t**5/60 + t**3 - 39*t**2 + 2. Let c(g) = 2*g**3 + 3*g**2 + 2*g + 2. Let f be c(-2). Does 8 divide a(f)? False Let x(v) = v**2 - 25*v + 284. Is 30 a factor of x(13)? False Suppose 0 = 12*j + 4144 - 19132. Is j a multiple of 23? False Suppose -4*h - 4 = 4*x, -2 = 6*x - x + 2*h. Suppose 3*a + 0*a - 144 = x. Does 16 divide a? True Let z(a) be the second derivative of -a**3/6 - a**2/2 + a. Let u be z(-5). Is 136/4*2/u a multiple of 17? True Let d(n) = 8*n + 384. Does 4 divide d(-42)? True Let r = 195 + -3. Is r a multiple of 8? True Let s = 3158 + -2626. Is s a multiple of 8? False Let q(x) = x**2 - 6*x + 5. Let d(o) = 1. Suppose m + 1 = 4*l + 2, 0 = -m + 5*l + 1. Let v(a) = m*q(a) + 4*d(a). Does 13 divide v(7)? False Suppose 5*q - 304 = -4*a, 2*a + 79*q - 78*q = 158. Is a a multiple of 27? True Let o be (-138)/8 + (-1)/(-4). Let r be (-15)/(-5) - (2 - 90/(-3)). Let d = o - r. Is d a multiple of 6? True Suppose 4*k - 5*m = 42 + 23, 2*m - 86 = -4*k. Suppose k*x - 23*x + 180 = 0. Is 12 a factor of x? True Suppose -2*w = -0*w + 16. Let a be w*3/(24/(-148)). Suppose -15*r - a = -17*r. Is r a multiple of 23? False Let y be 4/(-3) - 143/(-33). Suppose -y*m + 13 + 104 = 0. Is 14 a factor of m? False Is 18800/72 + (-5)/45 a multiple of 26? False Let t(h) = -9*h**2 + 6*h + 8. Let l be t(-4). Let f = l - -280. Does 24 divide f? True Let x = 266 + 26. Let m be 2/(-10) - x/(-10). Let v = m - -35. Is 14 a factor of v? False Let j = -55 + 57. Suppose j*v - 207 = -7*v. Is 3 a factor of v? False Suppose -3*y - 21 = -192. Suppose -2*x = -5*x - 2*o - 16, -3*x + o = 1. Is 14 a factor of y/x*10/(-15)? False Suppose -4*r + 3*s + 8760 = -4871, 6832 = 2*r + 4*s. Is r a multiple of 11? True Suppose 0 = -3*u + 3050 - 1022. Suppose 3*j - u - 329 = 0. Suppose 0 = -6*y + y + j. Is 17 a factor of y? False Suppose 6*r - 780 - 18 = 0. Does 18 divide r? False Let c = 691 + -400. Is c a multiple of 9? False Suppose 0 = -o + 3*y + 4 + 2, -2*o + 12 = 3*y. Is 48 a factor of (-106)/(-4)*o + -4? False Suppose 0 = -3*h - 5*n + 43, -h - h + 2*n + 2 = 0. Suppose 3 + 21 = -h*x. Is -8*(2 + x) + 2 a multiple of 9? True Let l(r) = -r**3 + 5*r**2 + 8*r - 8. Let p be l(6). Suppose -6*k = -p*k. Suppose -s - 3*o = -17 - k, -2*o = -s + 12. Does 4 divide s? False Let k = -2045 + 3143. Does 61 divide k? True Let v(d) = 126*d**2 - 17*d + 17. Is v(1) a multiple of 9? True Let u = -43 + 45. Is 16 a factor of (-8)/4*(-32)/u? True Let y = -20 + 27. Let r(d) = -2 + y + d**2 + 3. Is r(-8) a multiple of 27? False Let j(l) be the third derivative of -l**6/120 + 2*l**5/15 + l**4/4 + l**3/3 - 3*l**2. Does 17 divide j(7)? False Let d(a) = 2*a + 7. Does 4 divide d(0)? False Let q = 9 + -6. Let h be 1/q + 1240/(-30). Let c = 73 + h. Is 32 a factor of c? True Let i be 3/15 + (-12442)/10. Does 10 divide 6/10 + (2 - i/10)? False Let t be 2 + (-5)/(10/(-6)). Suppose 2*j + 3*j + 25 = t*r, -j = r + 5. Suppose 5*c - 4*c - 26 = r. Is 5 a factor of c? False Let c(t) = -7*t + 56. Is 14 a factor of c(-22)? True Let j be (28/1)/(7/14). Let f = j - 3. Does 23 divide f? False Suppose 0 = 4*q - 3*z + 35, 2 = z + 1. Does 36 divide 174 + -6*q/12? False Let x = -5 + 9. Suppose -x*b - 9 - 119 = 0. Let o = -7 - b. Is o a multiple of 25? True Suppose 0 = 12*y - 10*y + 124. Let o be (-2)/(-8)*y*8. Does 6 divide 34/(-85) - o/10? True Let q be 12/(-21) - 1056/14. Let i = -30 - q. Let t = i - 26. Does 5 divide t? True Let i be (10 + -3)*12/28. Suppose -362 = -i*w - 146. Is 12 a factor of w? True Let r(j)
{ "pile_set_name": "DM Mathematics" }
4 Suppose -7 = -3*k - 1. Find the second derivative of 4*h - 3*h**k - 3*h - h**2 + 2*h**2 wrt h. -4 Let q(h) be the third derivative of -11*h**5/20 - 3*h**3/2 + 6*h**2. Differentiate q(p) with respect to p. -66*p Find the third derivative of -5*u**2 - 2*u + 3242*u**4 - 3240*u**4 + u + 38*u**6 wrt u. 4560*u**3 + 48*u Let t(h) be the second derivative of -7*h**4/4 - 55*h**2/2 + 51*h - 2. Differentiate t(c) with respect to c. -42*c Find the second derivative of -18*h**4 - 16*h**4 - 4*h - 25*h + 8*h wrt h. -408*h**2 Let r(f) be the third derivative of 2*f**7/21 - 3*f**5/10 - 25*f**2. What is the third derivative of r(t) wrt t? 480*t Let g(u) be the first derivative of u**6/45 + u**5/20 + 4*u**3/3 - 3. Let p(y) be the third derivative of g(y). What is the second derivative of p(l) wrt l? 16 Let y(o) be the second derivative of o**7/35 - o**4/4 - 3*o**2 - 3*o. Let i(x) be the first derivative of y(x). What is the second derivative of i(f) wrt f? 72*f**2 Suppose 2 + 6 = 4*s. Suppose 0 = 4*f - 5*f + s. Find the second derivative of -f*w + 0*w + 3*w**5 - w**5 wrt w. 40*w**3 Let z = -1 - -3. Suppose 0 = -3*w - 0*d + d + z, -w = 3*d - 14. What is the first derivative of 3*p**w - p**2 + 0 + 2 wrt p? 4*p Let a be (4/8)/((-1)/(-6)). What is the first derivative of -4*f + 2 + f - a - 1 wrt f? -3 Let o(u) be the second derivative of -u**7/420 + u**4/24 - u**3/3 + 6*u. Let x(w) be the second derivative of o(w). What is the first derivative of x(r) wrt r? -6*r**2 Let w(i) = i**2 - 10*i - 2. Let f be w(9). Let v(c) = -c**3 - 12*c**2 - 11*c + 4. Let z be v(f). Differentiate 1 + 14*d - 14*d + 2*d**3 - z*d**3 wrt d. -6*d**2 Suppose 3*f - 19 = p - 6*p, 0 = -4*f - 8. Find the third derivative of -4*t**3 - p*t**2 - t**3 + 2*t**2 + 2*t**3 wrt t. -18 What is the derivative of -37 + 7 - 32*m - 2 wrt m? -32 Let o(p) be the third derivative of 13*p**5/60 - p**3/3 + 6*p**2. Differentiate o(f) with respect to f. 26*f Let m(j) be the first derivative of 41*j**4/4 + 44*j**3/3 + 22. Find the third derivative of m(u) wrt u. 246 Let i(x) be the second derivative of 0*x**2 - 1/6*x**4 + 0*x**7 + 0*x**6 - 5*x + 0*x**5 + 0 - 1/14*x**8 + 0*x**3. Find the third derivative of i(u) wrt u. -480*u**3 Let a(t) = -t**2 + t + 1. Let b(g) = -10*g**4 - 10*g**2 - 2*g - 2. Let w(m) = 2*a(m) + b(m). Find the third derivative of w(h) wrt h. -240*h Let b(g) = 2*g - 11. Let d be b(8). What is the first derivative of 1 - d*k**2 + 0 + 2*k**2 wrt k? -6*k Let o = 3 - 3. Suppose o = -3*t + 8 + 1. What is the second derivative of -t*b**2 + 2*b**2 - b - b wrt b? -2 Let m(d) be the second derivative of -d**6/6 + 2*d**4/3 + 3*d. What is the third derivative of m(n) wrt n? -120*n Let o(d) be the first derivative of d**4/2 - 4*d**3/3 + 43*d**2/2 - 6. What is the second derivative of o(u) wrt u? 12*u - 8 What is the third derivative of -6*c**2 - 3*c**5 + c**5 - 4*c**5 + 3*c**2 wrt c? -360*c**2 What is the second derivative of -18*o - 72 + 72 + o + 10*o**5 wrt o? 200*o**3 Suppose 2*d = d. Find the third derivative of -92*g**3 + 94*g**3 + d + 0 - 3*g**2 wrt g. 12 Suppose v - 11 = -6. Find the first derivative of -i**2 - 2*i**2 + i**2 - 2*i**2 + v wrt i. -8*i Let h be (3 - 0 - -3) + 0. Suppose -r + h = 2*r. What is the third derivative of -4*t**6 + r*t**5 - t**2 + t**5 - 3*t**5 wrt t? -480*t**3 Let a(k) = -k + 13. Let n be a(6). Find the third derivative of 74*i**5 + n*i**6 - 2*i**2 - 74*i**5 wrt i. 840*i**3 Differentiate -2 + 7 + 9*x - 9*x - 8*x**2 with respect to x. -16*x Let y(a) = 5*a**5 + 6*a**4 - 3*a**2 - 6*a + 6. Let i(l) = -l**5 - l**4 + l - 1. Let j(n) = -6*i(n) - y(n). What is the third derivative of j(q) wrt q? 60*q**2 Let b = 5 + -3. Find the second derivative of -k**2 + 2*k**b + 2*k - k - 3*k wrt k. 2 Suppose -q = -6 + 3. What is the third derivative of 8*r + q*r**2 - 8*r - 2*r**3 wrt r? -12 Let u = -2 + 6. Let n be -6*(-2 - u/(-3)). What is the second derivative of -2*t - 3*t**3 + 5*t - n*t wrt t? -18*t Suppose -4*u + 12 = 0, -2*u = 4*k - 2*k - 22. Let z be k/24*(-12)/(-2). Find the second derivative of 0*w - 2*w**z + 0*w**2 + 2*w + 3*w**2 wrt w. 2 Find the second derivative of y + 12*y**4 - 6*y - 4*y**4 wrt y. 96*y**2 Suppose -4*u = -0*u - 24. Find the third derivative of -u*l**2 + 0*l**3 + 0*l**2 + 2*l**2 - l**3 wrt l. -6 Let d(f) = -13*f**6 + 6*f**5 + 8*f**2 - 6. Let v(q) = q**6 - q**5 + 1. Let k(o) = d(o) + 6*v(o). What is the third derivative of k(g) wrt g? -840*g**3 Let o(m) = -m**2 - 11*m + 3. Let v be o(-7). Differentiate -v*x + 3*x**2 + 3 + 31*x with respect to x. 6*x Let k(g) = -1. Let q(y) = 3*y**3 + 4*y**2 + 6. Let l(u) = 6*k(u) + q(u). What is the third derivative of l(z) wrt z? 18 Let v(p) be the second derivative of -p**5/20 - p**4/6 + 71*p**2/2 + 36*p. Differentiate v(n) with respect to n. -3*n**2 - 4*n Let u = 6 + -4. What is the second derivative of 0*j - j + u*j**2 + 5*j**2 - 11*j**2 wrt j? -8 Let d(o) = 19*o**4 + 4*o**3 - 33*o - 2. Let b(v) = -37*v**4 - 7*v**3 + 67*v + 4. Let i(m) = -4*b(m) - 7*d(m). Find the second derivative of i(t) wrt t. 180*t**2 Suppose 5*v + 4*u = -8, 6*u = -2*v + u - 10. Let i = 4 - v. What is the derivative of -n**i - 1 + 1 - 2 wrt n? -4*n**3 Let f(c) be the first derivative of 4*c**3/3 - c - 1. Let g(b) = -b**3 - 3*b**2 + 1. Let i(v) = 3*f(v) + 4*g(v). What is the derivative of i(x) wrt x? -12*x**2 What is the first derivative of 7*a**4 - 24 + 3*a**4 + 7 wrt a? 40*a**3 Let d(n) = -7*n**3 + 6*n**2 - 6*n + 6. Let k(m) = 2 + 3 - m - 4. Let b(j) = -d(j) + 6*k(j). What is the third derivative of b(g) wrt g? 42 Let m(z) = 67*z**4 + 11*z**2 - 73*z. Let t(h) = 22*h**4 + 4*h**2 - 24*h. Let j(p) = -4*m(p) + 11*t(p). What is the second derivative of j(q) wrt q? -312*q**2 Suppose 5*v + 1 = -w - 3, 0 = 5*v + 5. Let c be (-1)/1*(-3)/w. What is the first derivative of -5 - z**4 + c + 3 wrt z? -4*z**3 Let c(b) = b**2 - 7*b - 4. Let l(t) = 9*t**2 - 57*t - 33. Let q(h) = -33*c(h) + 4*l(h). Find the second derivative of q(w) wrt w. 6 Let s(v) be the third derivative of -v**7/30 + 5*v**3/3 - 5*v**2. Let z(x) = 3*x**4 - 5. Let u(o) = -2*s(o) - 5*z(o). Find the first derivative of u(n) wrt n. -4*n**3 Let l(x) be the first derivative of -1/3*x**3 + 0*x**2 - 2 - 3*x. Differentiate l(j) wrt j. -2*j Let v(f) = -f**6 - f**3 + f**2 + f - 1. Let d(q) = -q**6 - 47*q**3 - 42*q**2 - q + 1. Let x(u) = -d(u) - v(u). What is the third derivative of x(g) wrt g? 240*g**3 + 288 Let c be 22/(-121) - (-24)/11. Let m be (-2 - -3)*(1 - -2). What is the derivative of -3 - m*h**2 - h**2 + 5*h**c wrt h? 2*h Suppose -t - 6 = -3*t. Find the first derivative of -t - v - 7 + 8 wrt v. -1 Let n(l) = l**3 + 5*l**2 - 7*l + 2. Let u be n(-6). Suppose -i = -3*k - 6 - u, -k = 2*i. What is the third derivative of z**3 + z**i + z**2 - 2*z**3 wrt z? -6 Let l = 1 + 9. Suppose 9 = 2*b - 5*k, l = 3*b - k - 3*k. What is the second derivative of -2*o**4 + b*o + 2*o**4 - 2*o**5 wrt o? -40*o**3 What is the derivative of -k**3 + 8*k**3 + 7*k**3 + 20 - 3 wrt k? 42*k**2 Suppose -1 = 4*x - 17. Let c be 12/(-9)*(-6)/x. Differentiate i - c - 1 + 2*i with respect to i. 3 Let k(n) = 2*n**4 + 4*n**3 + 5*n**2. Let i(h) = -h**4 + h**4 + 3*h**4 + 7*h**3 + 9*h**2. Let d(m) = 4*i(m) - 7*k(m). Find the third derivative of d(y) wrt y. -48*y Let d be ((-8)/6)/((-10)/15). What is the third derivative of -4*o - 3*o**2 + 2*o**5 + 4*o - 2*o**d wrt o? 120*o**2 Let y(b) = -b**2 + b - 1. Let v(s) = s**3 + 6*s**2 - 6*s + 7. Let i(a) = a - 2. Let z be i(3). Let u(f) = z*v(f) + 6*y(f). Differentiate u(n) with respect to n. 3*n**2 Suppose 2*s - 3 = 1. Let y(n) be the first derivative of 3 - n**s + 0 + 3*n + 2*n**2. Find the first derivative of y(x) wrt x. 2 Let x = 3 - -2. Find the second derivative of -r**3 + r**3 - x*r + r**3 + 4*r**3 wrt r. 30*r Let l(a) be the second derivative of 3/2*a**2 - 1/6*a**3 + 0 + 2*a. Differentiate l(o) with respect to o. -1 Suppose 0 = 20*t - 16*t. Let s(u) be the first derivative of 0*u**3 + t*u**2 - 2*u + 0*u**4 - 2 + 2/5*u**5. What is the derivative of s(a) wrt a? 8*a**3 What is the third derivative of -h**4 + h**4 + 2*h**2 - 4*h**4 wrt h? -96*h What is the derivative of 4*q**2 + 2 - 4*q**2 - 4*q**4 wrt q? -16*q**3 What is the third derivative of 9*w**2 + 19*w**3 + 0*w**2 + 19*w**2 - 8*w**3 wrt w? 66 Let f(k)
{ "pile_set_name": "DM Mathematics" }
6*n + 18*n + 10*n in the form o + w*n and give w. 34 Express -2*i + 2*i - i**4 + (31 - 30 - 2*i - 3*i)*(2*i**3 - 3*i**3 + 3*i**3) in the form a*i**2 + b*i + c + z*i**3 + w*i**4 and give z. 2 Rearrange -4*v + 3 + v**2 - 2*v**2 + 3 + 2*v**2 to the form p*v + q + t*v**2 and give q. 6 Express -4*z**2 + 8*z**2 + 2*z**2 - 2*z**2 as s*z + y*z**2 + k and give y. 4 Rearrange -9*q**2 - 28*q**2 + 14*q**2 to t*q**2 + i + w*q and give t. -23 Rearrange 9*q - q**3 - 2 - 3*q**2 + 5 - 9*q to the form h + p*q + w*q**2 + v*q**3 and give w. -3 Express 0*y - 8*y**2 + 3*y**2 + 3*y**2 + 3*y - 6*y**3 in the form n*y**3 + m*y**2 + c + d*y and give n. -6 Rearrange -3*r**4 + 123*r - 4*r**3 - 120*r + 2*r**3 - 1 to the form d*r**4 + i*r**3 + a + o*r + z*r**2 and give i. -2 Express 6*r**3 - 3 - 3 - 3*r**3 in the form a*r**2 + i*r + w*r**3 + s and give i. 0 Express (-6*i + 5*i - i)*(-3*i + i + 4*i) + (3*i + 0*i - 4*i)*(-4*i + 6*i - 3*i) + (i + 0*i - 3*i)*(-1 - i + 1) in the form c + k*i**2 + g*i and give k. -1 Express (0 - 7 + 1)*(10*k**4 + 6*k**4 - 14*k**4) - 2*k**4 - 2*k**4 + 3*k**4 as i + o*k**4 + x*k + c*k**3 + n*k**2 and give o. -13 Rearrange 37 + 42 + 15*d**2 - 77 to w*d + g + o*d**2 and give g. 2 Rearrange -1 + 0*l + l**4 - 4*l**2 + 2*l - 5*l**2 + 4*l**2 to the form r + o*l**2 + m*l + i*l**4 + f*l**3 and give m. 2 Express (-2*o + 4*o + 3 - 1)*(2 - 3*o**3 - 2*o**2 + 2*o**2) in the form u*o**2 + x*o + t + q*o**3 + j*o**4 and give x. 4 Rearrange (-4*x - 3*x + 3*x)*(-2 - 1 + 0)*(-6 + 6 + 3*x**3 + x**2) to the form f*x + h*x**3 + v + y*x**4 + t*x**2 and give y. 36 Express (1 - 1 - d)*(-3 - 1 + 6) - 11*d + 18*d + 17*d + d + 0*d - 4*d in the form l*d + m and give l. 19 Express 231*z**4 + z**3 + z**3 - z - 233*z**4 in the form b*z + m + t*z**4 + h*z**3 + c*z**2 and give h. 2 Express 0*s + 0*s + 3*s - s in the form o + h*s and give h. 2 Express 3*o**2 - 6*o**2 + 7 - 5 - 3 + 2*o**3 in the form j*o**3 + s + l*o + m*o**2 and give m. -3 Rearrange (-11 - 4*t + 11)*(1 - 1 - t)*(-3 - 3 + 1)*(0*t - 2*t + 4*t) to the form k + m*t**2 + a*t + n*t**3 and give n. -40 Express -6*c + 8*c - 3*c - 11*c**3 in the form f*c + v + x*c**3 + m*c**2 and give x. -11 Express 14*v - v + 19*v in the form m*v + q and give m. 32 Express ((1 + 0 + 0)*(1 - 1 - 2) + 2 - 3 + 0 - 2 - 9 + 4)*(-2*w - 4*w + 4*w) in the form z*w + y and give z. 20 Rearrange j**3 - 7 + 6*j**2 + 2*j - 3*j**2 - 3*j**2 to s*j + o + m*j**2 + g*j**3 and give s. 2 Rearrange -26 + h**2 + 27 - 2*h**2 + 2*h**3 + 0*h**4 - 2*h**4 to n + d*h**4 + c*h**3 + z*h + p*h**2 and give n. 1 Express (-1 + 1 - 2*w)*(-27 + 15 - 316 - 25) as i*w + z and give i. 706 Rearrange ((-2 + 1 + 0)*(3*q**3 - 6*q**3 + 4*q**3) - q**3 + 0*q**3 + 0*q**3)*(-10 + 0 - 2*q - 3) to g*q**3 + i*q**4 + n*q**2 + w*q + d and give g. 26 Express 5 - 4*z**2 + 0*z**2 + 4*z**2 - z**2 as g*z**2 + p + m*z and give g. -1 Express 48 + 5*d**2 - 50 - 3*d + d + d**2 + 0*d**2 - 2*d**2 + (-2*d + 1 - 1)*(3*d + 2*d - 7*d) in the form o + u*d**2 + l*d and give u. 8 Express (3*r + 5 - 5)*(20 - 1 - 2) in the form y*r + h and give h. 0 Rearrange (-l - l + 0*l)*(2 + 2 + 0) - l + 2*l + l to the form f*l + w and give f. -6 Express 27*g - 29 + 12 + 18 as t + b*g and give t. 1 Rearrange 2*q + 8*q - 5*q to the form v*q + m and give v. 5 Express 5 - 2*p**2 - 11*p**3 + 10*p**3 - 5 as t + b*p**2 + d*p**3 + q*p and give b. -2 Rearrange 2*w**3 - 4 + 5 - 2 - w**3 + w**3 + w**3 + (4 - 4 + w**2)*(4*w + w - 4*w) to s + m*w**2 + d*w**3 + b*w and give d. 4 Express (2*q + 0*q - q)*(-3*q + 3*q + 2*q**2) + (4*q**3 + 1 - 1)*(-1 - 2 + 2) in the form x*q**2 + r*q + w*q**3 + d and give w. -2 Rearrange -21*d**2 + d**3 + 56*d + 0 - 2 - 2*d**3 - 57*d to the form p*d**2 + j + g*d + w*d**3 and give w. -1 Rearrange 2*k**2 + k**4 - 5*k**4 + 16*k**3 - 1 - 16*k**3 to f + h*k**3 + r*k**2 + o*k + u*k**4 and give u. -4 Express (-3 + 0 + 2)*(6*v + 2*v - 5*v) + (0*v - 2*v + 4*v)*(2 + 1 - 4) - v - v + 3*v in the form d + y*v and give d. 0 Express -6 + 17 - 73 + 3*o**3 + 29 in the form j*o**2 + x*o**3 + y*o + r and give x. 3 Express -1 + 2*t**2 + 6*t**3 - 7*t**3 - t**3 - 2*t in the form q*t + u*t**3 + s*t**2 + l and give s. 2 Express (0*n - n - 4*n)*(3 - 6 - 1) + (-7*n + 3*n + 2*n)*(0 + 0 + 1)*(-2 - 1 + 4) in the form v*n + s and give v. 18 Rearrange l**2 - l**2 + l - 3*l**3 - 7*l to the form u + p*l**3 + d*l**2 + a*l and give u. 0 Express 3*r**4 - 1 - r**4 + 3*r + 3 + r**3 + 0*r**4 as v*r**4 + h + z*r**3 + a*r**2 + m*r and give v. 2 Rearrange (2 - 2 - 2)*(-1 - 2*u + 1)*(-27 + 86 + 22) to the form j + l*u and give j. 0 Rearrange -v + 59*v**3 + 2*v**2 + 4*v**4 - 3*v**4 - 52*v**3 to the form y*v**2 + l*v + m*v**4 + k*v**3 + i and give m. 1 Rearrange (2 + 2 - 2)*(-50*o + 24*o + 11*o) to q + w*o and give q. 0 Rearrange 2*q**4 - 3*q + 3*q**3 - 3*q**2 + 2*q - 4*q**4 + q**2 to the form a*q**4 + s*q**2 + n*q**3 + r + t*q and give t. -1 Express o - o + o + (-3 - 1 + 6)*(-2*o + o + 3*o + (-4 + 3 + 3)*(-o + 2*o + o) - 3 + 3 - 2*o) as z*o + a and give z. 9 Express -42 + 3*p + 22 - 2*p as j*p + l and give j. 1 Rearrange 3 + k**3 + 2*k**2 - 3*k**2 + k**4 + k**2 + k to t*k**3 + c*k**2 + g*k**4 + h + a*k and give a. 1 Rearrange (0*a**2 + 2*a**2 - a**2 - a**2 + 1 - 1 + (5*a - a - 2*a)*(a - 2*a + 3*a))*(-4*a + a - a) to y*a**3 + n*a + g*a**2 + k and give y. -16 Rearrange 11*s + 52 - 2*s - 7*s to the form p + c*s and give p. 52 Express (-4*w**3 + 0*w**3 + 3*w**3)*(0 + 1 - 2) + (-5*w - w - 2*w)*(78*w**2 + 82*w**2 - 190*w**2) as l*w + o*w**2 + s*w**3 + j and give s. 241 Express 3 - 2 + 6*w**2 - 2*w - 2*w**4 - 1 in the form o*w**3 + x*w**2 + u + b*w**4 + d*w and give x. 6 Rearrange -2*t - 89 - 21*t + 89 to v + w*t and give w. -23 Rearrange (3 - 3 + 2*i**2)*(-9 - 7 + 7) to the form s + w*i**2 + a*i and give w. -18 Rearrange 0*l**4 + 2*l**4 - 3*l**2 - 2 + 0*l**3 + 2*l**2 + 3*l**3 to f*l**4 + t*l + y + m*l**3 + z*l**2 and give z. -1 Express (-5 + 2 + 5)*(2 - 2 - 1)*(-d + 6*d - 8*d) as j + z*d and give z. 6 Rearrange 3*o**4 - o**3 + 0 - 2*o**2 + 0 + 2 - 3*o to the form s*o**4 + i + u*o**2 + c*o + n*o**3 and give n. -1 Rearrange 5*y - 2*y - y - y + 2*y - 2*y + (1 - 3 - 2)*(-y - 3*y + 5*y) to g*y + c and give g. -3 Rearrange 5*d + 2*d**4 + 0*d**4 - 2*d - 7*d + 2*d**3 + 2 to s + c*d + o*d**4 + t*d**3 + x*d**2 and give c. -4 Rearrange -75*o**2 - 75*o**2 + 1 + o + 146*o**2 to the form k*o**2 + p + f*o and give p. 1 Express 4*b**4 - b**4 - 2*b**4 + (-2 - 2 + 1)*(2*b + 17*b**4 + 2*b - 2*b) as o*b**4 + c*b**2 + w*b + y + i*b**3 and give w. -6 Rearrange -11 - 51*x + 11 + (-1 + 1 + 2)*(-x + 3*x - x) to the form s + q*x and give q. -49 Express -1 - 4 + 0 + 6 + 8*l**3 as p*l**3 + c*l + y + z*l**2 and give p. 8 Express 1 + u + u**4 + 10*u**2 - 10*u**2 - 3*u**3 as b*u**2 + h*u**3 + m*u + d + g*u**4 and give m. 1 Rearrange h - 5*h + 19*h to the form f + n*h and give n. 15 Express 11*f**2 + 11*f**2 + 25*f**2 as n + m*f**2 + u*f and give m. 47 Express 9*x - 2*x - 3 - x in the form t + i*x and give t. -3 Rearrange (-2*i + 2*i + i)*(6 - 5 + 1) + 82*i - 23*i - 20*i + (3 - 1 + 0)*(7 - 2 - 3)*(-i - i + 0*i) to u + l*i and give l. 33 Express -29 + 0*n + n - 2*n + 3*n as h*n + d and give h. 2 Rearrange -7*s + 3*s - 61*s to r*s + o and give r. -65 Rearrange -3*r**3 - 2*r - 3 + r + 3 to the form w*r**3 + z + v*r + m*r**2 and give w. -3 Rearrange (-2*n + 2*n - 3*n)*(-5 + 2 - 1)*(-2 + 5 + 1) to the form v*n + l and give v. 48 Rearrange 24*w**2 + 26*w**3 - 27*w**3 - 2*w + 35*w**2 to the form c*w**3 + z*w + b*w**2 + h and give z. -2 Rearrange -315 + 315 - 21*j - 11*j to the form y*j + c and give y. -32 Rearrange -3*f**3 + 6*f + 16*f**4 + 2*f**3 - 2*f - 17*f**4 - 2 to t + s*f**3 + w*f**2 + g*f**4 + i*f and give t. -2 Rearrange -c + 2*c - 11*c to n*c + f and give n. -10 Express ((4*t**3 + t**3 - 4*t**3)*(4 + 3 - 5) - t**3 + 5*t**3 - 3*t**3)*(-27 + 3 - 10) as d + h*t**3 + l*t**2 + q*t and give h. -102 Express -6*y**2 + 12*y**2 - 7*y**2 - y + 3*y in the form n*y + u*y**2 + l and give n. 2 Express (-s**3 + s**3 + 5*s**3)*(-18 + 12 - 5 - s) as g*s + t*s**2 + w*s**4 + p*s**3 + x and give p. -55 Rearrange d - 2*d**2 - d + (-d**2 + 0*d + 0*d)*(-1 + 1 + 2) - 3*d**2 + 5*d**2 - d**2 + (0*d**2 - d**2 + 3*d**2)*(7 - 1 - 2) to g*d + r + q*d**2 and give q. 5 Express 21*n**2 - 12*n**2 + 10*n**2 + 2*n as
{ "pile_set_name": "DM Mathematics" }
is g(a)? 21 Let m(o) = -o**3 + 2*o**2 - o - 2. Suppose l + 23 = -g, -4*l - 6*g = -5*g + 98. Let n be (1 - 4) + (-24 - l). Give m(n). 16 Let d(k) = k - 15. Let l be (-2)/4*(-7)/((-21)/60). Let i be 6 + l - (-3 + -1). Calculate d(i). -15 Let j(m) = 2*m**2 + 4*m - 5. Let x be j(-4). Let u(q) = x*q - 9*q**2 - q**3 - 6 + 14 - 6. Calculate u(-10). -8 Let i(o) = -4*o. Let u(r) = 15*r - 1. Let k(s) = -5*i(s) - u(s). Calculate k(3). 16 Let k(l) = l**3 - 11*l**2 + 10*l + 1. Let w be k(10). Let j(m) = -7 - w + 21*m - 22*m. What is j(-7)? -1 Let q(a) = 7*a + 198. Let o be q(-29). Let m(f) = -3*f - 10. Determine m(o). 5 Let h(a) = -a + 0*a - 6*a + 12 - a + 2*a. Give h(3). -6 Suppose 4*f = -4*n, 4*f + 5*n = 2 - 3. Let s(d) = 14*d**2 - 1. Let p(q) = q**2 - 1. Let g(a) = f*s(a) - 2*p(a). Give g(-1). 13 Let b = -871/18 - -458/9. Let r(m) be the first derivative of -b*m**2 - 4*m - 8. Calculate r(-3). 11 Let v = -14041 + 14047. Let j(b) = -6 + 2 + b - 8. Determine j(v). -6 Let r(f) = -f - 4. Let w be r(-10). Let y(k) = 9 - k + w + 2 - 18. What is y(3)? -4 Let s(q) = 2*q**2 + q - 2. Let c be s(-2). Let x(i) = 10 - 8 - c*i + 3*i. Calculate x(5). -3 Let c(w) = w**2 - 7*w + 8. Let h = -18 - -17. Let s(b) = -b**2 - b. Let t be s(h). Suppose 4*n - 2*p - p - 36 = t, -3*n + 2*p + 26 = 0. Determine c(n). 2 Let y(a) = -3*a + 4. Let r(b) = -12*b + 19. Let t(w) = 18*w - 29. Let i(s) = 8*r(s) + 5*t(s). Let p(c) = -6*i(c) + 11*y(c). Give p(-5). -13 Let t(n) = -5*n - 14. Let w be (-1)/1*-2*117/(-26). What is t(w)? 31 Suppose 5*g + 5*w - 88 = 2*w, 4*g + 4*w - 72 = 0. Suppose -3*i + 13 = r, -r + g = i + 4*i. Let s(d) = -d + 14. Calculate s(r). 7 Let i(q) = 0*q**3 + 0*q**2 - q**3 + 3 + 4*q**2 + 0*q**3 + 5*q. What is i(5)? 3 Let s(z) be the first derivative of z**2 - 5*z + 271. Let v = -11 - -7. Determine s(v). -13 Let g = 94 - 173. Let d = 83 + g. Let r(h) be the first derivative of -h**2/2 - 2*h - 2. Determine r(d). -6 Let c(l) = 21*l - 5*l**2 - l**3 + 3 + 22*l + 28*l - 69*l. Suppose -7 = -a + 4*h, -5*a - 2*h - 19 = -4*h. Calculate c(a). -7 Suppose -4*c + 4*y + 16 = 0, 5*c - 4*y = -2*y + 11. Let n(r) be the second derivative of r**4/2 + r**3/6 + 3*r - 11. What is n(c)? 7 Let r(n) = -99*n**2 - 595*n + 4. Let d be r(-6). Let p(c) = -c**2 + 7*c - 11. Let v(w) = -2*w**2 + 13*w - 23. Let y(f) = -9*p(f) + 4*v(f). Determine y(d). -3 Let x(f) = -f + 3. Suppose 5 + 10 = 3*u. Suppose 0 = u*c - 0 - 10. Let g be c/3 - 39/(-9). Determine x(g). -2 Let h(w) = -w + 4. Let b = 6 + -20. Let j = 19 + b. Suppose 0 = j*x - 0*x. Calculate h(x). 4 Let j(a) = a**2 - a + 7. Suppose -2*w + 4 = 2*l, -3*w + 8 = 2*l + w. Suppose l = 17*z - 12*z. Calculate j(z). 7 Let c(w) = w**2 - 7*w - 2. Let z(n) = -n**2 + 4*n + 1. Let p(m) = -6*c(m) - 11*z(m). Let a = 0 - -2. Determine p(a). 17 Let z = 31 - 29. Let x(b) = 2 - 2*b**2 - 9*b + 7*b + b**z. Suppose 12 = -0*i - 3*i, 4*v - 4*i + 4 = 0. Calculate x(v). -13 Let w(u) = -u**3 - 5*u**2 - 4*u - 3. Let o(r) = -r**3 - 5*r**2 + 23*r - 1. Let l be o(3). Calculate w(l). -3 Let r(o) = -o**3 + 4*o**2 - 1. Suppose 4*y - 3 + 19 = 0. Let f = y + 4. Suppose -3*i + 0 = -3*s + 9, -s - 2*i + 6 = f. Give r(s). -1 Let b(q) = 2*q + 3 + 0 + 0*q. Let w(y) = -y - 3. Suppose 0 = -2*f + 4*f + 12. Let g be w(f). What is b(g)? 9 Let r(b) be the first derivative of b**2 - 2*b - 64. Calculate r(-3). -8 Let f(s) = s + 1. Let l = 63 + -33. Let c be (-18)/135 - (-34)/l. Let h(y) = 6*y + 4. Let m(t) = c*h(t) - 5*f(t). What is m(-6)? -7 Let g be (-4)/(-12) + (-19)/3. Let o(f) = 18 - 2*f - 6 - f**3 - 4 - 12 - 5*f**2 + 6*f. What is o(g)? 8 Let f(a) be the third derivative of a**8/20160 + a**7/720 + 7*a**6/720 + 41*a**5/60 + a**3/3 - 18*a**2. Let d(p) be the third derivative of f(p). What is d(-6)? 1 Let j(q) be the first derivative of 5*q**3/3 - 2*q**2 + 4*q + 13. What is j(2)? 16 Let s(k) = -k**3 - 4*k**2 + 7*k + 3. Let v(x) = 12*x + 438. Let a be v(-37). What is s(a)? 33 Let a be -13*(-6)/(-24) + 4. Let s(w) be the first derivative of -1/2*w**2 + 2 - w + a*w**4 - 2/3*w**3. What is s(2)? 13 Let a = 28 + -23. Suppose -86 = a*g + 9. Let m = g + 20. Let q(v) = 6*v - 1. Give q(m). 5 Suppose -3*h = 3*a, 0 = -3*h + a + 8. Let q(z) = z**2 - 2*z - 2*z**h - 2 + 7. Let y(g) = 2*g**2 + 5*g - 9. Let n(x) = -5*q(x) - 3*y(x). What is n(-6)? -4 Let m = 15 - 26. Suppose 3*c + 36 = -3*t, c + 2*c = 3*t - 66. Let n = m - c. Let o(q) = q**3 - 7*q**2 + 6*q - 1. Calculate o(n). -1 Suppose -10 = 2*a + x + 3, 3*a = x - 17. Let l(r) = -4 - 3*r**2 - 6*r - 11*r**2 - r**3 + 7*r**2. What is l(a)? -4 Let y(i) = -2*i**3 - 2*i**2 + 3*i + 2. Let s be y(-2). Let z(k) = 2*k**2 + 10*k - 6. Let x(m) = 3*m**2 + 11*m - 6. Let p(c) = -3*x(c) + 4*z(c). Determine p(s). 6 Let j be (3 - 86/7) + 38/133. Let z(o) = -o**2 - 10*o - 9. What is z(j)? 0 Let p(d) = -4*d**3 + 1. Suppose 0*l - 2 = -l. Let n(q) = q**3 - l*q**2 + 39 - 38 + q**2 - 5*q + 2*q. Let m be n(2). Calculate p(m). 5 Let h(p) be the third derivative of p**6/120 - p**5/10 + p**4/12 + 2*p**3/3 - 2*p**2 - 11. Calculate h(5). -11 Let v(u) be the first derivative of -u**4/12 - u**3 - 3*u**2/2 - 16*u + 18. Let k(a) be the first derivative of v(a). Let b = 5 + -7. Give k(b). 5 Let m(u) = 11*u**2 - 4*u - 17. Let w(g) = 10*g**2 - 6*g - 22. Let z(p) = -4*m(p) + 3*w(p). Calculate z(2). -58 Let j(d) = 3*d - 3. Let r(w) = -w + 1. Let c(i) = 2*j(i) + 7*r(i). Let k be c(0). Let s(t) = -t**2 - 7*t + k + 0*t + 8*t. What is s(-3)? -11 Let t(x) be the second derivative of 0 - 1/2*x**3 + 11*x - 3*x**2 - 1/24*x**4. Let o(a) be the first derivative of t(a). What is o(3)? -6 Let f(q) = -q**2 - 7*q - 7. Let t(a) = a**3 + 2*a - 5. Suppose -2*o - o = -15, -o + 2 = m. Let p be 2/((-6)/(-9)) + m. Let z be t(p). What is f(z)? 3 Let s(q) be the first derivative of -4*q**3/3 - 5*q**2/2 - 2*q + 8. Let u be s(-1). Let g(m) = -2*m + 1 + 3*m - 2*m. Determine g(u). 2 Let b(i) = -i**2 - i. Let p(k) = 5*k**2 + 11*k - 4. Let q(l) = l - 4. Let a be q(5). Let j(f) = a*p(f) + 6*b(f). What is j(3)? 2 Let w(i) be the first derivative of -26 + 0*i**2 - 8/3*i**3 - i. Give w(-1). -9 Let j(g) = g**2 + 17*g + 53. Let z be j(-7). Let p(n) = -2*n**3 - 34*n**2 + n + 15. Give p(z). -2 Let f(h) = -39 + 39 + 4*h - 2*h - h**2 + 11*h. Give f(13). 0 Let o(b) = -14*b**2 - 25*b - 10. Let l(n) = -12*n**2 - 23*n - 10. Let y(c) = 6*l(c) - 5*o(c). What is y(-9)? -55 Let y(r) = r**3 - r**2 - 1. Suppose 5*b = 7*b - 6. Let h(c) = -6*c - 5. Let l be h(b). Let k = 25 + l. What is y(k)? 3 Let t be 4/(-2 + 9 - 5). Suppose 2 - t = y. Let g(r) = -r**3 + r**2 + r + 13. Give g(y). 13 Let q(t) = 5*t + 3. Let w be 0 + 5 - (-3)/(-3). Let p(d) = -3*d + 10. Let y be p(w). Determine q(y). -7 Let i(n) = 1 - n + 0*n + 2*n**3 - 2 + 2*n. Suppose 4*p + 31 = h, -2*h + 12 + 20 = -2*p. Suppose -h = -6*s - 5. Calculate i(s). 2 Let b = -13 - -22. Suppose 5*i - 11 = b. Let n(d) = 56 - 31*d - d**3 - 55 + 30*d + 4*d**2. Give n(i). -3 Let n(f) = f + 6. Suppose 0 = -p + 2 - 7. Let x be n(p). Let g(r) = 5*r**3 - 2*r + 1. Let q be g(x). Let b(i) = -i**2 + 4*i - 2. What is b(q)? -2 Let s(z) = z**3 + 8*z**2 - 4*z - 28. Let c be s(-8). Let p(k) be the second derivative of -1/6*k**c - k**2 - 7*k + 2/3*k**3 + 0. Give p(2). -2 Let a(x) = x**2 - 1. Let y(f) = -f**3 + 3*f**2 + 5*f - 7. Let w(z) = -4*a(z) + y(z). Give w(-4). 25 Suppose 0 = 4*q - 2*q + 4. Suppose 0*o + 15 = 5*o. Let g(a) = -3*a**2 - a**o + 6*a**2 - a**2 + a. Determine g(q). 14 Let y(a) = 3*a - 7. Suppose -10*r = -40 - 70. Suppose 2*h - 3*s - 13 - r = 0, -s = 4*h - 20. What is y(h)? 11 Let d(t) be the first derivative of -t**3/3 - 11*t**2/2 - 17*t + 731. Calculate d(-7). 11 Let j(z) = -4*z - 4. Suppose 5*f + 3*x = f - 6, 2*f - 4 = -5*x. Determine j(f). 8 Suppose -2*c - 2*v - v + 9 = 0, 4*c - 4*v - 28 = 0. Let p = -3 + 3. Let w(z) = 0 + 1 + p - 6*z + z**2. Give w(c). 1 Let w(b) = -b**3 + 9*b**2 + 14*b - 8. Let o be w(10). Let j = 37 - o. Suppose j*i = 3*i - 2. Let d(x) = -x. Determine d(i). 1 Let a(m) = 19*m**2 - 22*m - 2. Let c be a(1). Let n(r) = -8*r - 43. Determine n(c). -3 Suppose -i + 117 = 8*i. Suppose -7*n = i - 69. Let u(d) = -d**3 + 8*d**2 - 1. What is u(n)? -1 Let p = -1846 - -1836. Let x(w) = -w**3 - 11*w**2 - 10*w - 18. What is x(p)? -18 Let s(t) = t - 6. Let k(f) = -4. Suppose -3*l + 9 - 4 = 5*w, -16 =
{ "pile_set_name": "DM Mathematics" }
there in 3/32 of a milligram? 93750 What is 19/4 of a meter in millimeters? 4750 What is fifty-three quarters of a century in months? 15900 What is 24097.053 months in centuries? 20.0808775 How many millilitres are there in 0.8337015l? 833.7015 What is 0.6717646ml in litres? 0.0006717646 How many grams are there in 85.45862 milligrams? 0.08545862 What is 65143.48 micrometers in millimeters? 65.14348 How many millimeters are there in 1/5 of a centimeter? 2 How many nanoseconds are there in one twentieth of a microsecond? 50 What is 2926.3206 months in years? 243.86005 What is 63.1066 micrograms in tonnes? 0.0000000000631066 What is 3/32 of a tonne in grams? 93750 Convert 17.150301 nanoseconds to hours. 0.0000000000047639725 How many millimeters are there in 3/40 of a meter? 75 What is 377.53344ns in hours? 0.0000000001048704 Convert 429918.4 millennia to years. 429918400 How many years are there in three fifths of a decade? 6 How many minutes are there in 20184.558 nanoseconds? 0.0000003364093 What is eleven halves of a litre in millilitres? 5500 What is fifteen quarters of a gram in milligrams? 3750 How many seconds are there in nine tenths of a minute? 54 Convert 0.4264953l to millilitres. 426.4953 Convert 46834.55 kilograms to milligrams. 46834550000 Convert 21489.74 grams to tonnes. 0.02148974 Convert 515.0412nm to centimeters. 0.00005150412 How many litres are there in 409.9473ml? 0.4099473 What is 87/5 of a century in decades? 174 How many litres are there in 0.522188 millilitres? 0.000522188 What is three tenths of a litre in millilitres? 300 What is 43/2 of a litre in millilitres? 21500 Convert 818363.6km to centimeters. 81836360000 What is 82817.16 millilitres in litres? 82.81716 What is 22999.68 years in millennia? 22.99968 What is 3/16 of a kilometer in centimeters? 18750 How many litres are there in 8240.221ml? 8.240221 What is 1/20 of a second in microseconds? 50000 Convert 1183488.57 nanoseconds to days. 0.000000013697784375 What is 2/45 of a day in seconds? 3840 How many litres are there in 30.49963 millilitres? 0.03049963 How many centuries are there in 545578.6 millennia? 5455786 What is 22343.57 centuries in months? 26812284 What is seventeen quarters of a gram in milligrams? 4250 How many months are there in one tenth of a century? 120 Convert 4698.028ml to litres. 4.698028 How many millilitres are there in 55107.53l? 55107530 How many millilitres are there in 6/25 of a litre? 240 How many milligrams are there in 25/4 of a gram? 6250 What is fourty-three quarters of a milligram in micrograms? 10750 What is 3/32 of a kilometer in centimeters? 9375 Convert 984.2747l to millilitres. 984274.7 Convert 234004.7l to millilitres. 234004700 How many nanograms are there in twenty-nine halves of a microgram? 14500 What is 13.50017 nanometers in centimeters? 0.000001350017 How many centimeters are there in 0.8620586km? 86205.86 How many seconds are there in 0.1683592 minutes? 10.101552 What is 12553.44 years in months? 150641.28 What is 38540.27 milligrams in kilograms? 0.03854027 How many centimeters are there in 3/5 of a meter? 60 What is 366.0642 meters in micrometers? 366064200 Convert 992333.1 minutes to nanoseconds. 59539986000000000 How many centimeters are there in 740.9402km? 74094020 What is sixty-seven fifths of a microgram in nanograms? 13400 How many decades are there in 18.738474 months? 0.15615395 What is 503.6465 centimeters in meters? 5.036465 What is 26.135217 seconds in days? 0.0003024909375 How many nanograms are there in 7543.749 kilograms? 7543749000000000 How many centuries are there in 75633.95 years? 756.3395 Convert 0.6378005 decades to years. 6.378005 What is 1/4 of a millennium in years? 250 How many nanoseconds are there in 6939.63 seconds? 6939630000000 What is 46/5 of a litre in millilitres? 9200 How many micrograms are there in 76.58518 tonnes? 76585180000000 What is 11/4 of a tonne in kilograms? 2750 Convert 47599.95 millilitres to litres. 47.59995 What is 3007.3cm in meters? 30.073 How many minutes are there in 7/6 of a day? 1680 How many minutes are there in 21/8 of a day? 3780 What is 65.74983 litres in millilitres? 65749.83 What is 175547.6 litres in millilitres? 175547600 What is fifty-five halves of a kilometer in meters? 27500 How many nanograms are there in 135.5886 micrograms? 135588.6 How many milligrams are there in 113552.5ug? 113.5525 What is three fifths of a decade in years? 6 What is 0.2060342 kilometers in nanometers? 206034200000 How many nanograms are there in five quarters of a microgram? 1250 Convert 801466.6 minutes to microseconds. 48087996000000 How many milligrams are there in 1/20 of a kilogram? 50000 How many years are there in five quarters of a millennium? 1250 What is fifty-four fifths of a microgram in nanograms? 10800 How many months are there in 7/4 of a millennium? 21000 What is eleven tenths of a millennium in years? 1100 What is eleven quarters of a millisecond in microseconds? 2750 How many nanometers are there in 19876.42um? 19876420 How many hours are there in seven thirds of a day? 56 What is 5/4 of a week in minutes? 12600 What is twenty-one eighths of a litre in millilitres? 2625 Convert 203.0674 meters to nanometers. 203067400000 How many years are there in thirty-seven fifths of a millennium? 7400 How many meters are there in 3/50 of a kilometer? 60 Convert 0.4124502 nanometers to kilometers. 0.0000000000004124502 How many millilitres are there in three eighths of a litre? 375 Convert 36.39568 nanometers to centimeters. 0.000003639568 How many millilitres are there in one quarter of a litre? 250 How many grams are there in 3/5 of a kilogram? 600 What is fifteen quarters of a meter in millimeters? 3750 How many micrometers are there in 12/25 of a centimeter? 4800 What is 2.95787km in micrometers? 2957870000 What is sixty-seven thirds of a year in months? 268 How many years are there in 7.31068 centuries? 731.068 What is fourty-five halves of a decade in months? 2700 How many grams are there in 43/2 of a kilogram? 21500 What is fourty-three quarters of a hour in seconds? 38700 How many meters are there in 9/10 of a kilometer? 900 Convert 556616.1 millilitres to litres. 556.6161 Convert 766.5296 centimeters to micrometers. 7665296 Convert 820.8322m to kilometers. 0.8208322 What is eighty-nine halves of a hour in minutes? 2670 What is 0.6051431ml in litres? 0.0006051431 What is 4871.909 decades in centuries? 487.1909 How many centimeters are there in fourty-seven quarters of a meter? 1175 How many nanograms are there in 69/2 of a microgram? 34500 What is three tenths of a milligram in micrograms? 300 How many millilitres are there in 3/10 of a litre? 300 What is sixteen ninths of a hour in seconds? 6400 How many nanoseconds are there in 75/4 of a microsecond? 18750 What is 12.02665 days in milliseconds? 1039102560 How many millilitres are there in 6.952123l? 6952.123 What is 0.3441964ms in nanoseconds? 344196.4 How many millimeters are there in 31.95804nm? 0.00003195804 Convert 1536.857l to millilitres. 1536857 What is 66070.66 micrograms in tonnes? 0.00000006607066 What is five quarters of a millimeter in micrometers? 1250 What is 7897.012 decades in years? 78970.12 What is 8.106291us in minutes? 0.00000013510485 How many micrograms are there in 25/4 of a milligram? 6250 How many micrometers are there in three sixteenths of a centimeter? 1875 How many hours are there in 81/4 of a week? 3402 How many microseconds are there in 4.211864 nanoseconds? 0.004211864 Convert 25.37669kg to milligrams. 25376690 What is 37/5 of a kilogram in grams? 7400 How many nanometers are there in 0.6669982 meters? 666998200 How many years are there in 198367.1 millennia? 198367100 Convert 4.28876 years to months. 51.46512 How many nanometers are there in 88333.03cm? 883330300000 What is 4675.85 nanometers in kilometers? 0.00000000467585 How many millennia are there in 2.297435 years? 0.002297435 What is 5/4 of a milligram in micrograms? 1250 How many millimeters are there in 21/2 of a meter? 10500 How many milliseconds are there in 91.8605 seconds? 91860.5 How many minutes are there in 11/2 of a week? 55440 What is twenty-one fifths of a millennium in months? 50400 What is 3/8 of a
{ "pile_set_name": "DM Mathematics" }
26)/sqrt(2)). -4*sqrt(19) - 1 Simplify (-2*sqrt(931) + -4 + (-3*sqrt(190)*-1 + sqrt(190))/sqrt(10))*-1. 4 + 10*sqrt(19) Simplify 2*(-3*sqrt(171) + 0 + (-2*sqrt(931)*-3)**2). -18*sqrt(19) + 67032 Simplify 3 + (((2 + sqrt(1053))*-2)**2 - 6*sqrt(1053)*3). -18*sqrt(13) + 4231 Simplify -1*(-3*-1*sqrt(119) + sqrt(119) + 2*(sqrt(119)*-2 + sqrt(119)))/(-2*sqrt(7)*-6*-2). sqrt(17)/12 Simplify (sqrt(11) + sqrt(44)*-5)**2 + 1 + (-5 + sqrt(11) + 1 + sqrt(11) + sqrt(44) + -2)**2. -48*sqrt(11) + 1104 Simplify ((sqrt(605)*5)/sqrt(11))/(-6*sqrt(1100)). -sqrt(5)/12 Simplify (-3*(sqrt(245) - (2*sqrt(245) - sqrt(245))))**2 - (2*(-1 + sqrt(5)) - ((sqrt(80))**2 + sqrt(5))*1). -sqrt(5) + 82 Simplify -2 + (sqrt(245) + -1)**2 + -1 + (sqrt(245) - (sqrt(245) + 2 + 0))**2 + -2*(sqrt(245) + -1). -28*sqrt(5) + 249 Simplify -4*(sqrt(102)/sqrt(6)*-3 - 5*sqrt(187)/sqrt(11)) + 5. 5 + 32*sqrt(17) Simplify 4 + -1 + (sqrt(1100) + -1)**2 + 1. -20*sqrt(11) + 1105 Simplify 5 + (sqrt(8)/(sqrt(12)/sqrt(108)) - (-5 + -5*2*sqrt(2))). 10 + 16*sqrt(2) Simplify (1*(sqrt(153) - (sqrt(153) + -3 + 2 + sqrt(153)))*6)**2. -216*sqrt(17) + 5544 Simplify -1*(0 + sqrt(33)/sqrt(3) + -1)*1. -sqrt(11) + 1 Simplify -4 + ((4*5*(sqrt(405) + 0))**2 - (-4 + (sqrt(405) - (sqrt(405) + -1)*-2) + sqrt(405))). -36*sqrt(5) + 162002 Simplify ((sqrt(160)/sqrt(4)*-3*-3)/((sqrt(96)/sqrt(64))/sqrt(3)))**2. 6480 Simplify 5*(-3*(-1 + (sqrt(833))**2) + 5). -12455 Simplify -1*sqrt(21)/(2*sqrt(7) - sqrt(7)) - (-2 + sqrt(9)/sqrt(3)*-2). sqrt(3) + 2 Simplify (4 + -2*sqrt(17)*3)**2 + (sqrt(68)*-2*-5)/sqrt(4). -38*sqrt(17) + 628 Simplify ((-4 + 2 + sqrt(11))*-2*3 + -5)**2 + 1. -84*sqrt(11) + 446 Simplify (-5*((-1 + sqrt(12)/sqrt(6) - (sqrt(6)/sqrt(3) + -2)) + 5) + -3)**2. 1089 Simplify 3 + -3*((sqrt(48) + sqrt(192)/sqrt(4))**2 + 3)*4. -2337 Simplify (sqrt(33) + sqrt(33) + (sqrt(3300) + sqrt(3300)*4 - sqrt(3300)) + sqrt(3300))/(-1*sqrt(147)) + -5 + 0. -52*sqrt(11)/7 - 5 Simplify (6*(4 + 0 + sqrt(275) - (sqrt(88) - (sqrt(88) - (sqrt(88) + -2*sqrt(88)*-4)))/sqrt(8)))**2. -1152*sqrt(11) + 6912 Simplify -6*((sqrt(91) - -1*sqrt(91)*1)/sqrt(7) + (sqrt(39)*1)/sqrt(3) + sqrt(156)/sqrt(48)) + -4. -21*sqrt(13) - 4 Simplify (sqrt(225)*1 - (sqrt(72)/(sqrt(16)/sqrt(2) - sqrt(8) - sqrt(8)) - sqrt(9)))/(sqrt(27)/(-2*sqrt(9)) + sqrt(18)/(-1*sqrt(6))). -14*sqrt(3)/3 Simplify 2*(-1 + sqrt(11) + -5 + (4*sqrt(275))**2). 2*sqrt(11) + 8788 Simplify (sqrt(99) - 4*(sqrt(99) - (sqrt(99) + sqrt(99)*-2 - sqrt(99))))/(sqrt(288)/sqrt(2)) + -1*(-1 + sqrt(539))*-1. -1 + 17*sqrt(11)/4 Simplify (4*(sqrt(1872) + (0 + sqrt(1872) - sqrt(1872)) - sqrt(1872)) + 5 + (0 + sqrt(1872) - sqrt(1872)) + -1)**2 + 0. 16 Simplify -5 + ((2*sqrt(65) + sqrt(65))*1)/(sqrt(40)/sqrt(2)). -5 + 3*sqrt(13)/2 Simplify -5*(-1 + sqrt(1053)) + -6*(sqrt(468) + 1)**2. -2809 - 117*sqrt(13) Simplify (sqrt(84)*-2*2)/(2*sqrt(300) + sqrt(300))*2. -8*sqrt(7)/15 Simplify 1 + ((sqrt(2057) - (sqrt(2057) - (sqrt(2057) + 0)))*4 - sqrt(2057) - sqrt(2057)*-1*-3) + 2. 3 Simplify (sqrt(45) - (sqrt(45) + sqrt(45) + (sqrt(45) - sqrt(1125)*-4)))/(sqrt(1089)*3). -2*sqrt(5)/3 Simplify (5*(-1*sqrt(65) - sqrt(65))*-4)/(-2*-2*sqrt(80))*2. 5*sqrt(13) Simplify -4 + sqrt(26)/sqrt(2) + 3 + (-4*((sqrt(78)*1)/sqrt(6) + sqrt(13)))**2. sqrt(13) + 831 Simplify (3*sqrt(180)*2 - ((sqrt(180)*2 - sqrt(180) - sqrt(180))*-4 + sqrt(180)))/((-6*1*sqrt(32) + sqrt(32))/sqrt(8)). -3*sqrt(5) Simplify 4*(-3 + (5*(sqrt(17) + 0))**2)*-5. -8440 Simplify 1*(-2*sqrt(396)*-6)**2*-5*6. -1710720 Simplify ((sqrt(128)*-1)/sqrt(8))/(1*sqrt(800))*5. -sqrt(2)/2 Simplify (6*(-1 + sqrt(176) + 1)*3)**2 + 0. 57024 Simplify ((sqrt(832)*1 + 0 - sqrt(832)) + 4 - ((-1 + sqrt(832) + -2 - sqrt(832) - sqrt(832)) + (sqrt(832) - sqrt(832)*1)*6))**2. 112*sqrt(13) + 881 Simplify -3 + (((sqrt(210)*-1)/sqrt(10))/(1*sqrt(12)/sqrt(4)))**2. 4 Simplify (1*sqrt(1134))/sqrt(2) + 4*(2*sqrt(7))**2*3. 9*sqrt(7) + 336 Simplify (((sqrt(119) - (sqrt(119) + -2*sqrt(119)))*1*1)/((sqrt(1008) - sqrt(1008)*2)*4))**2. 17/576 Simplify -2*(sqrt(117)*-2 + -2)*-1*-2. 8 + 24*sqrt(13) Simplify (sqrt(27) - -2*sqrt(1728))/(sqrt(81) + sqrt(81)*2)*-2 + 4 + 3. -34*sqrt(3)/9 + 7 Simplify (5*sqrt(18))**2 + 1 + -6*3*(-1 + sqrt(2) + sqrt(2)) + -4. -36*sqrt(2) + 465 Simplify -1 + ((sqrt(15) - (-1*sqrt(15) + sqrt(15)))*-4)/(sqrt(3) - (sqrt(3) + sqrt(3)*2)*-1)*2. -2*sqrt(5) - 1 Simplify 4*(sqrt(85)/((sqrt(60)*-1)/sqrt(12)) + (-6*(sqrt(17) - sqrt(17)*-2) - (1*sqrt(17) + -4)))**2. -640*sqrt(17) + 27264 Simplify -1 + (sqrt(13) - (sqrt(13) + -1)) - (sqrt(52)/sqrt(4))**2*-2 - -3*((sqrt(52)/sqrt(4))**2 + 5). 80 Simplify sqrt(1300) + sqrt(1300)*-2 + 5 + sqrt(1300) + (sqrt(78)/sqrt(2)*2)/sqrt(3). 5 + 2*sqrt(13) Simplify ((5*(sqrt(119)*-2 - sqrt(119)))/(sqrt(7)*3*3))**2. 425/9 Simplify (sqrt(243) + 1 + 3 + sqrt(3) + -1)*4. 12 + 40*sqrt(3) Simplify 4*((5 + 2 + sqrt(2299) + sqrt(2299) + sqrt(2299))**2 + 3*(-2 + sqrt(19) + -5)**2). 1680*sqrt(19) + 83776 Simplify (0 + sqrt(275) + -1 + sqrt(275) - (-2 + (1*sqrt(275))**2)) + -1 + 3*sqrt(539)*2. -275 + 52*sqrt(11) Simplify (((sqrt(1029) + sqrt(1029)*-2 - sqrt(1029)) + sqrt(1029) - sqrt(1029) - sqrt(1029))*6)/((-2*sqrt(210)/sqrt(7))/sqrt(10)). 63*sqrt(7) Simplify 6*((sqrt(117) - (sqrt(117) + 5*sqrt(117)*-2))*1)/(3*sqrt(36)*-2). -5*sqrt(13) Simplify ((sqrt(1300) - 1*-1*sqrt(1300))**2 - (sqrt(1300) + 4*(sqrt(1300) + (sqrt(1300) + 1)**2))) + ((5 + sqrt(1300) + -2 - sqrt(1300))*-2)**2. -130*sqrt(13) + 32 Simplify (-4*sqrt(3630) - sqrt(30))/((-3*sqrt(110))/sqrt(11)). 15*sqrt(3) Simplify 6*((3 + sqrt(1700) + -1)**2 + 0). 240*sqrt(17) + 10224 Simplify (4*4*(sqrt(114)/sqrt(2) - sqrt(57)))/(sqrt(27)*-3 + sqrt(3) + sqrt(24)/sqrt(2)). 0 Simplify (1*sqrt(6048))/(sqrt(384)*-2)*1. -3*sqrt(7)/4 Simplify ((-6*sqrt(54)/sqrt(3) - sqrt(18))*2)/(1*sqrt(384) - (sqrt(384)*-2 + sqrt(384))). -7*sqrt(3)/8 Simplify ((sqrt(162) + (-1 + sqrt(162))*3)*6*-1*5)**2. -194400*sqrt(2) + 2340900 Simplify ((sqrt(272) - ((sqrt(272) - (sqrt(272) + 0)) + -3)) + 0)**2 - (5 + (sqrt(833)*-2 + 4)**2). -3072 + 136*sqrt(17) Simplify -1 + (2*2*sqrt(200) - sqrt(200)) + (-6*sqrt(200)*2)**2. 30*sqrt(2) + 28799 Simplify (sqrt(102)*-2*-5 + sqrt(102) - ((sqrt(102) - -4*(sqrt(102) + -1*sqrt(102))) + sqrt(102)))/(sqrt(42)/(sqrt(28)/(2*sqrt(4)))). 9*sqrt(17)/2 Simplify 5 + (2*sqrt(432))/(-5*sqrt(54)). -4*sqrt(2)/5 + 5 Simplify 5*(sqrt(539) + 2)**2 + (sqrt(539) + 1 + 0)**2 + sqrt(539) + sqrt(539) + -5. 168*sqrt(11) + 3250 Simplify -1 + -1 + 4*((sqrt(275) - -1*sqrt(275)) + -3 + (sqrt(275) - (sqrt(275) + (-6*(sqrt(275) + 1))**2 + sqrt(275)))). -39758 - 1420*sqrt(11) Simplify (sqrt(704)*-1 + -5)**2 - (-5*sqrt(704)*2 - sqrt(704)) - (sqrt(704) + -6*sqrt(704)*-1)**2*-1. 168*sqrt(11) + 35225 Simplify -6*sqrt(76)/sqrt(4) + sqrt(19) + (2*(sqrt(19)*2)**2 - sqrt(19)) + 2 + (sqrt(1216) - (-2*sqrt(1216) + sqrt(1216))). 10*sqrt(19) + 154 Simplify (-1*1*sqrt(143))/(-5*-1*sqrt(11)). -sqrt(13)/5 Simplify (sqrt(28) - (1 + sqrt(28))) + -3 + -3 + (sqrt(252))**2 + 1. 246 Simplify (0 + -4 + -2*sqrt(108) + sqrt(108) + -5 + -2)**2. 132*sqrt(3) + 229 Simplify ((-5 + (sqrt(19) + -1)*1 + -2 + (-6*(0 + sqrt(19)) - (sqrt(475) + 0)))*1)**2. 160*sqrt(19) + 1964 Simplify 2*(-1 + sqrt(252))**2 - (-1*sqrt(7)*-6 - (sqrt(35)*-1)/sqrt(5)). -31*sqrt(7) + 506 Simplify (4 + ((-4*-1*sqrt(130) - sqrt(130))/(-2*(sqrt(10) + sqrt(20)/sqrt(2))))**2)*-5*3. -2715/16 Simplify (-1*3*sqrt(1900) + sqrt(1900) + 5*2*sqrt(1900))**2. 121600 Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*-4) - sqrt(104)))*4)/sqrt(8) + sqrt(208)*-2 + 4. 4 + 8*sqrt(13) Simplify 3 + sqrt(833)*1 + 0 + (1*sqrt(187)*-3)/((-2*sqrt(66) + sqrt(66))/sqrt(6)). 3 + 10*sqrt(17) Simplify (sqrt(11) - (1 + sqrt(99))) + 1 + sqrt(1584) - (-3 + (sqrt(539) + 2 + (sqrt(539) - (0 + sqrt(539))) - sqrt(539)))**2. -1 + 10*sqrt(11) Simplify (-5 + -4 + 4*(sqrt(7488) + sqrt(7488) + -1))**2. -4992*sqrt(13) + 479401 Simplify (sqrt(3) + 2*sqrt(108) - sqrt(3) - sqrt(27)/(sqrt(54)/sqrt(6)) - 6*sqrt(81)/sqrt(3)*-2)**2. 6627 Simplify (1*(sqrt(76) - (sqrt(76) - (sqrt(76) + sqrt(76) + 3*sqrt(76)*1) - sqrt(76))))/((sqrt(4) + -3*sqrt(400))*6). -sqrt(19)/29 Simplify 5*(sqrt(110) + -1*-2*sqrt(110) - sqrt(110))/(3*sqrt(1000) + sqrt(1000) - sqrt(10)). 10*sqrt(11)/39 Simplify ((sqrt(72) - -5*(sqrt(72) - (-1*sqrt(72) -
{ "pile_set_name": "DM Mathematics" }
1/(t/(-6) - 2). Suppose 5*v = s*v + 165. Is v composite? True Let z(a) = 63*a + 1. Let u(q) = q**2 + 5*q - 4. Let n be u(-6). Is z(n) prime? True Let v(t) be the third derivative of t**5/60 + t**4/24 - 2*t**2. Let a be v(-1). Suppose 0 = r - a*r - 37. Is r a composite number? False Let u(v) be the second derivative of -v**4/12 + v**3 - v**2/2 - 2*v. Let k be u(5). Suppose k*d = -3*x + 16, 4*d = -3*x - 2*x + 16. Is d a composite number? True Let m = -313 - -1089. Let l = m - 439. Is l composite? False Let i be 26/6 - 3/9. Suppose 4*j = 16, -s - i*j + 2*j + 97 = 0. Is s prime? True Let d be (-9)/6*(1 - -1). Let z be d + 0 + 128 + 2. Is z*(-3 - (-8)/2) composite? False Let w = 21 - 18. Is w a composite number? False Let f = 2815 - -1426. Is f prime? True Suppose -57 - 1198 = -5*n. Is n a prime number? True Let f(x) = -20*x - 9. Is f(-10) a prime number? True Let h be ((-9)/27)/(1/(-183)). Suppose h = 4*f - 87. Is f a prime number? True Suppose -8516 = 282*f - 284*f. Is f composite? True Let b(r) be the third derivative of -1/3*r**3 - 1/60*r**5 - r**2 - 1/4*r**4 + 0 + 0*r. Is b(-4) prime? False Let s be 0/1 - -1 - 0. Is (-3 + 132)*s/3 prime? True Is (-3 - -771) + 1 + 0 a prime number? True Let s = 1146 - 35. Is s composite? True Suppose 2701 = 2*v + 5*h, -h = -3*v + v + 2731. Is v a composite number? True Suppose -4*j + 25 = 3*o, 2*j - 4*o + 7 = o. Is (931/28)/(1/j) composite? True Suppose -14 = -o + 3*h, 2*o = 2*h - 3*h + 21. Is o composite? False Suppose 5*t + 10 = 0, u - 9 = 3*t - 1. Suppose x - 5*n + 8 = -6, -3*x - u*n = -9. Is (x - 1)/(-3) - -23 prime? True Suppose 5*h - 10 = -2*d, -5*h + 2*h + d = -17. Let l(x) = 0*x**3 + 2*x**3 + x**3 + x + h - 4*x**2 - 5*x**3. Is l(-5) prime? True Let k(j) = j**2 + 2*j - 3. Let i be k(-4). Suppose i*s - 52 = -7. Is (-2)/9 - (-929)/s prime? True Let b(a) = -a**3 + 7*a**2 - 3*a + 5. Is b(6) a prime number? True Suppose 2*t + t - 537 = 0. Is t a composite number? False Let f(j) = 0*j + 0*j - 3*j - j**2 + 2*j**2. Is f(4) prime? False Let n be (-2)/(-8) + 1/(-4). Suppose n*g + 4*l - 234 = -2*g, -3*g + 5*l + 340 = 0. Is g a prime number? False Suppose 9*z = -4*z + 2743. Is z composite? False Let s be 43*(-3)/(-6)*10. Let c = s + -104. Is c a prime number? False Let g be (-2)/(-1) - (4 + -5). Suppose g*h = -2*h - 3*x + 2125, -447 = -h - 5*x. Suppose 3*w = h + 211. Is w a prime number? True Let b(i) = 160*i**2 + i - 2. Is b(1) prime? False Let a(l) = -l**2 - 3*l. Let r be a(-3). Let z be r - (-1 + 1 + 0). Suppose z = -5*k - 3*c + 24 + 149, 4*c = 4. Is k prime? False Suppose 18 = -0*x - 2*x. Is (-9)/6*2046/x composite? True Let u = 8 - 6. Suppose -u*c + 58 = -34. Is c a prime number? False Let w be 0/(-2) - 0/(-10). Suppose -3*a = 3*o - 99, 2*a - 140 = -4*o - w*a. Is o a prime number? True Let l(p) = -5*p**3 - p**2. Let b be l(-1). Suppose k + k = b. Suppose -q + 49 = 4*h, -2*q - 2*h + 98 = k*h. Is q composite? True Let s = 78 + 83. Suppose -3*n + s = -322. Is n a composite number? True Let n be 1659/9 + 2/3. Let y = 272 - 390. Let k = y + n. Is k a composite number? False Suppose -3*d + 3 + 6 = 0. Suppose 0 = -4*g + d + 5, 2*g + 98 = 3*j. Is j prime? False Let l = -6 + 4. Let d(p) = 20*p**2 - 3*p - 1. Is d(l) prime? False Suppose u + 4435 = 6*u. Is u composite? False Suppose 10 = 2*h - 7*h. Let j(d) = d**2. Let y(s) = s**3 + 7*s**2 - 8*s - 11. Let i(p) = h*j(p) - y(p). Is i(-10) prime? True Suppose -h - 16 = -0*h. Let n = 73 - h. Is n composite? False Let f(k) = -k**2 - 4*k. Let n be f(-4). Suppose -3*j - 3*s + 186 = n, -6*j + j = -5*s - 360. Is j a composite number? False Let t = 6 - 10. Let f = 8 + t. Suppose -f*s + 14 + 62 = 0. Is s composite? False Let k(b) = -7*b**3 - 8*b**2 - 10*b + 11. Let r(s) = -8*s**3 - 9*s**2 - 11*s + 12. Let a(f) = 7*k(f) - 6*r(f). Is a(-4) a composite number? False Suppose 3*w + 2*w + 2*t = -78, -4*w = t + 63. Is (844/6)/(w/(-24)) composite? False Let c(o) = -59*o. Let g be (2/6)/(1/(-3)). Is c(g) composite? False Suppose 3*a - 1184 - 853 = -3*x, -4*x + 2671 = -5*a. Is x a composite number? True Let j = -5 + 8. Suppose 0 = -a + 5*a + 4*h, -j*a + 2 = 2*h. Is (15/4)/(a/8) a composite number? True Let i(t) = 9*t**2 - 2*t - 1. Let n = 1 + -2. Let b be i(n). Suppose -3*z + b = -35. Is z a composite number? True Let q = 2 - 6. Let l(r) = -4*r. Let u be l(-2). Is q*((-30)/u - 2) prime? True Suppose k + 5*n = -2*k - 436, 2*n + 695 = -5*k. Let f = -52 - k. Is f a composite number? True Let q = 4 - 2. Suppose 0 = q*i + 4*b - 62, 3*i - 2*b = -2*i + 107. Suppose 4*m + 0*m + i = l, -4*l = 5*m - 29. Is l a composite number? False Suppose -3 + 0 = -c. Let g(h) = 117*h + 4. Is g(c) composite? True Let h(c) be the third derivative of -c**6/40 - c**5/30 + c**4/8 - c**3/2 + c**2. Is h(-3) composite? True Let j(f) = 50*f + 1. Suppose 0 = 4*q - 2*q - 10. Is j(q) a prime number? True Let g be ((-355)/4)/(1/(-4)). Suppose -2*r = -7*r + g. Is r prime? True Let x be (102/5)/(9/(-60)). Suppose 3*f + f = 804. Let w = x + f. Is w a composite number? True Let p = -312 - -780. Suppose p = y + y. Suppose 3 + y = 3*u. Is u a prime number? True Suppose 3*g = 2*l + 1505, 0*g + 2*l - 1000 = -2*g. Is g a prime number? False Is ((-13)/3)/((2/(-1))/138) prime? False Is (-1)/(8/14)*-52 a composite number? True Let o(a) = 2*a - 6. Let j be o(5). Let b be 2/(2 - 3) - 0. Is (5 - j)/(b/(-70)) a prime number? False Let k be (-1)/(-4) + 1/(-4). Suppose k = 6*z - z + 3*q - 227, 0 = -3*z - 4*q + 134. Suppose 2*j - z = -4*m, j = 3*m - 6 - 16. Is m composite? True Suppose 0*b - 1827 = -b. Is (-1)/4 - b/(-28) a prime number? False Let c = 0 - -42. Let r = c + -70. Is (-4)/(-14) + (-2316)/r composite? False Let m be ((-1)/3)/((-1)/6). Suppose 0*b + 3*a - 98 = -2*b, -a = m. Let w = -29 + b. Is w composite? False Let s(p) = 81*p - 8. Is s(5) a composite number? False Let x(i) = -8*i - 1. Let v be x(-1). Suppose -3*p + 119 + 31 = 0. Let h = p - v. Is h a prime number? True Suppose 2*x - 6*x + 5444 = 0. Is x a prime number? True Let b(c) = -6*c**2 - 3*c. Let p be b(6). Let x = -29 - p. Is x composite? True Let u(w) = -132*w - 1. Suppose -5*v + 57 + 23 = 0. Suppose -5*l - 20 = -o - 4*o, o + 3*l = -v. Is u(o) prime? True Let j(c) = 9*c**3 + 2*c**2 - 2*c - 1. Let r = -3 + 5. Let t be j(r). Suppose 4*a - 77 = t. Is a a composite number? True Suppose -328 = 2*m + 2*m. Let f = -43 - m. Is f a composite number? True Suppose 3*h + 4*i - 1007 = 0, -4*h - i + 300 + 1047 = 0. Is h a composite number? False Let j = -82 - -137. Suppose 4*n + j = 419. Is n a composite number? True Let h be (-1 + 2)/((-1)/(-2)). Let y(m) = -m**3 + 10*m**2 + 1 - m**h - 4*m - 2*m**2. Is y(3) prime? False Suppose 4*a = 3*a + 86. Let p = -33 + a. Is p composite? False Let f be 1 + 0 + (5 - 10). Is 182 - 1*(f - -1) prime? False Suppose 4*u - 2*u - 186 = 0. Let x = u - -202. Is x a prime number? False Let f(k) = k**2 - 3*k - 5. Is f(-4) composite? False Let m = -81 + 151. Suppose -m = -i + 51. Is i composite? True Let b(x) be the second derivative of -1/2*x**2 + 1/4*x**4 - 1/20*x**5 + x + 0 + 2/3*x**3. Is b(-4) a composite number? True Let f(r) = -r**2 - 6*r - 3. Let i be f(-5). Suppose -3*q + i*y = -q - 52, -29 = -q + 2*y. Is q prime? True Let j = -105 - -193. Suppose -x - 3*x = -j. Is x composite? True Suppose 3*x - 28 = -x + 4*y, 5*x + 2*y - 35 = 0. Let c = -5 + x. Is c/((-6)/(-27) + 0) a composite number? True Suppose 4*b + 1308 = 2*b. Is b/(-4)*12/18 composite? False Let i(l) = -l**3 + 7*l**2 + 8*l - 3. Let k be i(8). Is 334/k*6/(-4) composite? False Let u be (2 + -2)/5*-1. Let h = 196 + 228. Suppose 17 - h = -5*p + 3*v, -p - 5*v + 59 = u. Is p prime? True Let g(t) = 3*t**2 - t. Let i be g(1). Suppose 0 = v - 3*m - 84, 0*m = -2*v - i*m + 176. Is v composite? True Suppose -2*t + 25 = 3*t. Suppose -3*m = -t*p - 71, -4*p + 2*p = 2*m - 42. Suppose -30 = -2*n + 2*w + m, -2*w = 10. Is n prime? False Let v(i) = 5*i**3 - 9*i**2 + 6*i + 8. Let c be v(8). Suppose c = 5*u + 695. Is u composite? False Let t be 7/3 - 2/6. Suppose -t*a + 21 = -a. Is a a prime number? False Let w(k) = -k + 9. Let o be w(5). Suppose o*f = -8 + 24. Suppose 155 = -3*s + f*s. Is s prime? False Suppose -216 = -y - 5*q, -2*q = 4*y - 372 - 474. Is y composite? False Let y(b) = b**3 + 7*b**2 - 7*b + 9. S
{ "pile_set_name": "DM Mathematics" }
base 11, what is 0 + 1209? 1209 In base 15, what is -4 + 92? 8d In base 8, what is 1066 + -5? 1061 In base 12, what is 149 - -3? 150 In base 8, what is 3 - -275? 300 In base 4, what is 10 + -1012310? -1012300 In base 14, what is 6 - -b87? b8d In base 7, what is -5 - -445? 440 In base 15, what is -4c - 4e? -9b In base 4, what is 0 - -331? 331 In base 5, what is 113 + 323? 441 In base 12, what is -3 - -5? 2 In base 11, what is 89 - 0? 89 In base 6, what is -13555 + 10? -13545 In base 2, what is 111111 + -1101? 110010 In base 16, what is 10 - -34? 44 In base 9, what is -7 + -717? -725 In base 3, what is 201002 - 1100? 122202 In base 15, what is -d7 + -25? -10c In base 16, what is -4 + -3a0? -3a4 In base 13, what is 0 - 85? -85 In base 11, what is 258a - 4? 2586 In base 3, what is -2 - -2121? 2112 In base 13, what is -621 + 1? -620 In base 14, what is 4 + -c? -8 In base 3, what is -112 - 10221101? -10221220 In base 6, what is -3 - -2? -1 In base 11, what is -3a9 + -2? -400 In base 6, what is -153 - -3? -150 In base 12, what is -26 + -4? -2a In base 15, what is 6 - 3d? -37 In base 10, what is 1 + -4025? -4024 In base 5, what is -1022 - -21? -1001 In base 10, what is -2 + 212? 210 In base 14, what is 6 - 13? -b In base 12, what is -2 - -12? 10 In base 3, what is -11 - -211010? 210222 In base 9, what is 2167 - 0? 2167 In base 9, what is 330 + 4? 334 In base 16, what is 3c + -1d? 1f In base 6, what is -4 - -10222? 10214 In base 10, what is -3 - 1626? -1629 In base 13, what is -6c84 - -4? -6c80 In base 6, what is -20 + 4? -12 In base 5, what is -3 - 113? -121 In base 13, what is 2 + -15a3? -15a1 In base 14, what is 2c - -164? 192 In base 10, what is -4 - 25? -29 In base 5, what is 134 - 2? 132 In base 10, what is -3 - -52? 49 In base 8, what is 1 - -1536? 1537 In base 7, what is 4 - 203? -166 In base 12, what is 5 + -18a8? -18a3 In base 14, what is 8a + 1b? a7 In base 3, what is 21011 - 11? 21000 In base 15, what is -e + -18? -27 In base 2, what is -11 + 111111010? 111110111 In base 3, what is -2 + -222? -1001 In base 14, what is 196 + -5? 191 In base 12, what is 3 + -2? 1 In base 13, what is -12b + 5? -126 In base 13, what is -2b + 42? 14 In base 16, what is -1 + -13? -14 In base 7, what is 4 + -600? -563 In base 5, what is -3 - 343? -401 In base 9, what is -3 + -1003? -1006 In base 3, what is -10111022 - 10? -10111102 In base 14, what is 9c - 9a? 2 In base 15, what is 413 - -3? 416 In base 2, what is -101 + 101100? 100111 In base 15, what is -35 - 2e? -64 In base 8, what is -6 + -16? -24 In base 7, what is 2 + 355? 360 In base 16, what is 9f - -3? a2 In base 2, what is -100011 + 1011111? 111100 In base 14, what is -1 - 61? -62 In base 13, what is b + -5? 6 In base 12, what is -110 - 26? -136 In base 9, what is -7 - -287? 280 In base 6, what is 4 - -453? 501 In base 13, what is 4 + 0? 4 In base 6, what is 5 + -14504? -14455 In base 16, what is -9b - 9? -a4 In base 4, what is -11 - -12022? 12011 In base 14, what is -72 - -2? -70 In base 14, what is -41 + 1? -40 In base 6, what is 502 - 155? 303 In base 2, what is -1010110000 - 10100? -1011000100 In base 10, what is -186 + 4? -182 In base 11, what is 9 + -835? -827 In base 12, what is 22 - 26? -4 In base 6, what is -523 + 4? -515 In base 11, what is 5 - -5? a In base 15, what is -a09 - -4? -a05 In base 9, what is -1 - -1045? 1044 In base 2, what is 110000110100000 - -10? 110000110100010 In base 3, what is 2 + 2? 11 In base 2, what is 10 - 100101100111? -100101100101 In base 6, what is 34044 + -1? 34043 In base 10, what is 1 - 541? -540 In base 9, what is -43 - 4? -47 In base 12, what is -60 + -1? -61 In base 8, what is -6 + 454? 446 In base 16, what is -3 + 11? e In base 10, what is 10 - -1476? 1486 In base 12, what is 116 - 3? 113 In base 3, what is 1000001 + -10? 222221 In base 4, what is 322202 + 3? 322211 In base 8, what is 171 - -14? 205 In base 10, what is 41 - 21? 20 In base 6, what is -50 - -15? -31 In base 12, what is 11a - 65? 75 In base 10, what is -5 - 41? -46 In base 8, what is 20 + -30? -10 In base 6, what is 3 - -44? 51 In base 16, what is -12f - 3? -132 In base 4, what is 1 - 211? -210 In base 13, what is 24 + -1bb? -197 In base 11, what is 309 + -2? 307 In base 5, what is -220 + 2? -213 In base 4, what is 22 + 1120? 1202 In base 8, what is 153 + 33? 206 In base 3, what is 20010 - -100? 20110 In base 3, what is 2 - -2? 11 In base 16, what is 487 - 0? 487 In base 14, what is -4 + 2? -2 In base 2, what is 100000 - 10001110? -1101110 In base 15, what is 16 - 4? 12 In base 15, what is -1d3 - 1? -1d4 In base 3, what is 10 - -210? 220 In base 12, what is b13 + 2? b15 In base 8, what is -7273 - 4? -7277 In base 5, what is -10033 - 3? -10041 In base 6, what is 5 - -3325? 3334 In base 15, what is 4 - 673? -66e In base 10, what is 11 - -510? 521 In base 12, what is -2 - -2b2a? 2b28 In base 16, what is 8 - 1e? -16 In base 5, what is -4 + 14? 10 In base 3, what is 100100102 + -11? 100100021 In base 4, what is 1 + 1103? 1110 In base 4, what is 201 - -3? 210 In base 12, what is 3 + 143? 146 In base 15, what is 24 - 3? 21 In base 16, what is 2 + -1b6? -1b4 In base 3, what is 2 + -2011? -2002 In base 6, what is -442 - 4? -450 In base 12, what is -514 + -4? -518 In base 4, what is -232201 + 11? -232130 In base 4, what is -2 - -132? 130 In base 16, what is 3 + 56? 59 In base 10, what is 0 + 15? 15 In base 9, what is 4 - -18? 23 In base 10, what is -49 - -27? -22 In base 4, what is 31 - 203? -112 In base 2, what is -11001 + -111111? -1011000 In base 7, what is 120 - 10? 110 In base 16, what is -39 + 10? -29 In base 10, what is 30 + 59? 89 In base 7, what is -506 - -2? -504 In base 6, what is -331210 - 2? -331212 In base 5, what is 12 - -13323? 13340 In base 5, what is -2 - -442? 440 In base 8, what is -55 - 12? -67 In base 7, what is -12244 + 2? -12242 In base 12, what is 12a + 4? 132 In base 3, what is 102002 + 11? 102020 In base 6, what is -151 + 3? -144 In base 15, what is 5 + -30? -2a In base 6, what is -2 + 12045? 12043 In base 3, what is -2 + -122011? -122020 In base 7, what is 620 + 2? 622 In base 4, what is 22313 - 3? 22310 In base 15, what is 396 - -2? 398 In base 9, what is 5885 - -4? 6000 In base 8, what is 706 - -15? 723 In base 9, what is 272 + 27? 310 In base 2, what is 10011001 + -10? 10010111 In base 8, what is -125 - 40? -165 In base 10, what is -528 - -11? -517 In base 4, what is -31 - 2010? -2101 In base 15, what is -150d9 - -5? -150d4 In base 3, what is 12 - 20200121? -20200102 In base 4, what is -102 + 111? 3 In base 2, what is -100 + -1110100? -1111000 In base 10, what is -2 - -423? 421 In base 2, what is -10111111101 - -100? -10111111001 In base 14, what is 4b - 4? 47 In base 9, what is -4 - -6? 2 In base 8, what is 5 + -5451? -5444 In base 3, what is -12 + 10001002? 10000220 In base 8, what is 3 + 5133? 5136 In base 4, what is 2 - -313? 321 In base 3, what is 22020 + 10? 22100 In base 5, what is -11 - -34332? 34321 In base 5, what is 110 + -3? 102 In base 6, what is -15 - 3055? -3114 In base 13, what is -742 - 5? -747 In base 16, what is -1 + -62? -63 In base 4, what is 11 - -1000032? 1000103 In base 12, what is -6 + 1? -5 In base 9, what is -1 - 16? -17 In base 2, what is 10101 + -100? 10001 In base 15, what is 6e0 + 2? 6e2 In base 15, what is -22 + 1? -21 In base 16, what is 2a9 - -4? 2ad In base 14, what is 2236 + 1? 2237 In base 2, what is 11 - 1000101? -1000010 In base 4, what is -1300 - -2133? 233 In base 10, what is 353 + 5? 358 In base 13, what is 1 + -746? -745 In base 11, what is 40 + -3? 38 In base 9, what is 3102 + -1? 3101 In base 14, what is -6a8 + 2? -6a6 In base 7, what is 34 + -2256? -2222 In base 5, what is -1410 - -34? -1321 In base 6, what is 3 - 15? -12 In base 7, what is 23421 - -2? 23423 In base 6, what is -22205 - 5? -22214 In base 12, what is -23 - -21? -2 In base 9, what is 62 - -3? 65 In base 5, what is 2123303 + 0? 2123303 In base 16, what is -15 - 23? -38 In base 6, what is -3 + -4314? -4321 In base 8, what is 123 + 533? 656 In base 6, what is 4 - -151? 155 In base 7, what is -13366 + -2? -13401 In base 3, what is -1122211 + 12? -1122122 In base 3, what is -10222 + -10? -11002 In base 14, what is -8 - 42? -4a In base 15, what is 7 + -5e? -57 In bas
{ "pile_set_name": "DM Mathematics" }
the smallest common multiple of 51 and 663? 663 Find the common denominator of 51/4154 and -43/268. 8308 Calculate the lowest common multiple of 5175 and 920. 41400 What is the smallest common multiple of 2090 and 1330? 14630 What is the common denominator of 22/105 and -13/84? 420 Calculate the least common multiple of 14 and 1358. 1358 What is the smallest common multiple of 594 and 154? 4158 Calculate the common denominator of -14/1485 and 49/1188. 5940 Find the common denominator of -1/735 and 59/105. 735 What is the lowest common multiple of 40 and 900? 1800 Calculate the common denominator of 1/20 and -35/3858. 38580 What is the common denominator of 15/572 and -69/40? 5720 What is the smallest common multiple of 60 and 264? 1320 Find the common denominator of -3/20 and -35/14534. 145340 What is the common denominator of -23/375 and 7/160? 12000 Find the common denominator of 9/238 and 21/136. 952 Calculate the smallest common multiple of 110 and 3311. 33110 Find the common denominator of -39/196 and 75/112. 784 What is the common denominator of 111/322 and 11/4? 644 What is the common denominator of 113/60 and 64/15? 60 What is the smallest common multiple of 2 and 124? 124 Find the common denominator of -151/12 and -151/24. 24 Calculate the common denominator of 87/434 and -34/77. 4774 Calculate the common denominator of -41/54 and -9/4. 108 Calculate the lowest common multiple of 60 and 192. 960 What is the lowest common multiple of 163 and 1304? 1304 What is the lowest common multiple of 176 and 416? 4576 Find the common denominator of 19/44 and -121/160. 1760 What is the smallest common multiple of 648 and 10? 3240 Calculate the smallest common multiple of 35 and 6. 210 What is the least common multiple of 3 and 37? 111 Calculate the common denominator of 63/25 and -93/200. 200 What is the common denominator of 65/24 and 97/42? 168 Calculate the lowest common multiple of 2580 and 50. 12900 Calculate the least common multiple of 12 and 852. 852 What is the smallest common multiple of 261 and 7? 1827 What is the common denominator of -5/188 and -48/235? 940 Find the common denominator of 107/14 and -31/70. 70 What is the least common multiple of 994 and 42? 2982 What is the lowest common multiple of 48 and 80? 240 What is the common denominator of 13/695 and -25/2363? 11815 What is the smallest common multiple of 990 and 96? 15840 Calculate the least common multiple of 112 and 154. 1232 Find the common denominator of 233/2310 and -43/55. 2310 What is the lowest common multiple of 1541 and 1340? 30820 Calculate the smallest common multiple of 28 and 2032. 14224 Calculate the lowest common multiple of 15 and 27. 135 What is the lowest common multiple of 12 and 188? 564 What is the lowest common multiple of 122 and 11? 1342 What is the smallest common multiple of 33 and 143? 429 Calculate the common denominator of -22/65 and 21/10. 130 What is the lowest common multiple of 189 and 441? 1323 Calculate the common denominator of 11/114 and 97/38. 114 Calculate the lowest common multiple of 385 and 616. 3080 Calculate the common denominator of 53/899 and 54/11. 9889 Calculate the smallest common multiple of 2 and 488. 488 Calculate the lowest common multiple of 15 and 3036. 15180 Calculate the smallest common multiple of 28 and 8. 56 Find the common denominator of 3/484 and -3/308. 3388 Find the common denominator of 61/242 and 61/3. 726 What is the smallest common multiple of 7 and 1071? 1071 Calculate the smallest common multiple of 28 and 1330. 2660 Calculate the common denominator of 17/8 and 67/4626. 18504 Calculate the common denominator of -79/184 and 55/12. 552 Find the common denominator of -51/763 and -22/1853. 12971 What is the least common multiple of 56 and 592? 4144 What is the lowest common multiple of 75 and 1475? 4425 What is the least common multiple of 784 and 4? 784 Calculate the common denominator of -29/12 and 50/9. 36 What is the common denominator of 121/90 and 34/9? 90 Calculate the smallest common multiple of 78 and 96. 1248 Find the common denominator of 101/4356 and 191/9900. 108900 What is the common denominator of 93/34 and 38/153? 306 Find the common denominator of -143/168 and 81/4. 168 Calculate the least common multiple of 4250 and 1750. 29750 What is the least common multiple of 5066 and 2682? 45594 What is the lowest common multiple of 9425 and 1885? 9425 What is the smallest common multiple of 28 and 343? 1372 Calculate the lowest common multiple of 280 and 105. 840 What is the least common multiple of 16 and 368? 368 Find the common denominator of 77/116 and 7. 116 Calculate the common denominator of -61/48 and 103/7260. 29040 What is the lowest common multiple of 11 and 108? 1188 What is the common denominator of -67/180 and 71/18? 180 What is the common denominator of -39/34 and -83/14? 238 What is the common denominator of -7/90 and -23/54? 270 Calculate the least common multiple of 270 and 180. 540 Find the common denominator of 29/80 and 25/48. 240 Find the common denominator of 55/522 and 43/8. 2088 Calculate the least common multiple of 441 and 10. 4410 What is the least common multiple of 1440 and 6? 1440 What is the smallest common multiple of 7410 and 130? 7410 What is the common denominator of 9/184 and 43/12? 552 What is the least common multiple of 22 and 852? 9372 What is the common denominator of 11/144 and 1/160? 1440 What is the least common multiple of 1799 and 1? 1799 Calculate the least common multiple of 66 and 90. 990 Calculate the lowest common multiple of 1612 and 6. 4836 What is the smallest common multiple of 4935 and 1680? 78960 What is the smallest common multiple of 6021 and 7359? 66231 What is the lowest common multiple of 2982 and 96? 47712 Find the common denominator of 89/220 and 73/220. 220 What is the lowest common multiple of 114 and 38? 114 Calculate the least common multiple of 8 and 8. 8 Calculate the lowest common multiple of 321 and 6. 642 What is the lowest common multiple of 30 and 32? 480 Find the common denominator of 50/7 and -37/3148. 22036 What is the common denominator of -11/32 and -107/13752? 55008 What is the least common multiple of 2093 and 805? 10465 Calculate the least common multiple of 5 and 2700. 2700 What is the smallest common multiple of 115 and 1219? 6095 What is the smallest common multiple of 42 and 1848? 1848 Calculate the least common multiple of 9 and 153. 153 Calculate the least common multiple of 385 and 5110. 56210 Calculate the common denominator of 7/408 and -111/14. 2856 Calculate the smallest common multiple of 30 and 450. 450 What is the lowest common multiple of 8 and 489? 3912 What is the lowest common multiple of 60 and 12? 60 Calculate the lowest common multiple of 520 and 12. 1560 What is the least common multiple of 2260 and 24? 13560 What is the lowest common multiple of 387 and 903? 2709 What is the common denominator of 59/4 and -45/52? 52 What is the smallest common multiple of 56 and 42? 168 What is the smallest common multiple of 882 and 140? 8820 Calculate the smallest common multiple of 1758 and 4. 3516 Calculate the smallest common multiple of 22 and 136. 1496 Calculate the lowest common multiple of 255 and 7. 1785 Find the common denominator of -31/238 and 13/280. 4760 What is the common denominator of -23/6024 and 121/84? 42168 Calculate the least common multiple of 3 and 229. 687 What is the lowest common multiple of 5 and 11? 55 Calculate the least common multiple of 62 and 38. 1178 What is the lowest common multiple of 16 and 128? 128 Calculate the lowest common multiple of 11 and 3. 33 What is the lowest common multiple of 105 and 112? 1680 What is the lowest common multiple of 9 and 37? 333 What is the common denominator of -69/80 and -31/130? 1040 What is the least common multiple of 21526 and 14? 150682 Calculate the common denominator of -95/5052 and 49/16. 20208 Calculate the common denominator of -56/6183 and -2/6183. 6183 Calculate the lowest common multiple of 824 and 309. 2472 What is the common denominator of 7/9 and -2/5571? 5571 Calculate the smallest common multiple of 168 and 156. 2184 Calculate the common denominator of 157/660 and -2/15. 660 Calculate the common denominator of -53/2793 an
{ "pile_set_name": "DM Mathematics" }
8/276)/(3/7622). Calculate the highest common factor of 259 and s. 259 Suppose 0 = 230*h - 265*h + 28980. What is the highest common factor of h and 184? 92 Let q(t) = 11*t + 249. Let a be q(-21). Let s = -153 + 225. Calculate the highest common divisor of s and a. 18 Let s(n) = 586*n - 1602. Let u be s(3). Calculate the highest common factor of u and 120. 12 Let o be (0 + -4)/((21/12)/(-7)). Let v = o - 8. Let j(i) = 2*i**3 - 11*i**2 - 5*i - 16. Let w be j(v). What is the greatest common factor of 24 and w? 24 Suppose -282 = -2*o - 4*s, 5*s - 153 = -3*o + 273. Let d(v) = v**3 - 12*v**2 - 2*v + 45. Let x be d(12). What is the highest common factor of o and x? 21 Let u be (-1796)/(-10) + 4/10. Suppose 0 = 315*v - 175*v - 163*v + 460. Calculate the highest common divisor of v and u. 20 Let x be -9 + 11 + (140 - (-3)/3). Suppose -140 = -2*z - 4*p, 453 = 4*z + 2*p + x. What is the highest common divisor of 64 and z? 16 Suppose -7500 - 10644 = -144*t. Calculate the highest common factor of t and 21546. 126 Suppose 5*h + 13 = -12. Let f = -4 - h. Let c(w) = -209*w + 12336. Let i be c(59). What is the highest common divisor of i and f? 1 Suppose -4*f = 9 + 23. Let p = f + -4. Let q be (1 + 87/p)/((-3)/12). Calculate the highest common divisor of 225 and q. 25 Let o = 17461 - 17445. Calculate the greatest common factor of o and 4328. 8 Suppose 176*v = 186*v - 16250. What is the highest common divisor of v and 1125? 125 Let l = -1196 - -506. Let n be (-3 - l/25)*5. Calculate the greatest common divisor of 656 and n. 41 Let l(f) = 62*f**2 - 11*f + 5. Let r(i) = 31*i**2 - 5*i + 2. Let o(z) = -4*l(z) + 9*r(z). Let u be o(2). What is the greatest common factor of u and 16? 8 Suppose 2*n - 137 = -5*h, n - 3*n + 3*h = -129. Suppose 0 = -8*l + 1810 + 4262. What is the highest common divisor of n and l? 33 Let p be 1 + -9 + (64 - (-3 + 5)). Calculate the highest common factor of p and 369. 9 Let k be -8 - 8 - (24 - 2632). Calculate the highest common divisor of 384 and k. 96 Let v = 185 - 181. Let y(q) = 3*q + 3. Let r be y(v). Calculate the highest common factor of 120 and r. 15 Suppose 148*t - 4*t - 576 = 0. Let s(i) = 4 + 15*i - i + 0*i - 2. Let y be s(3). Calculate the highest common divisor of y and t. 4 Suppose -28 = -g - 3*g - l, l = -g + 10. Let a be 11 - g/18*(-1 + 1). Calculate the greatest common factor of a and 55. 11 Suppose 6 = 3*s, 2*r + 0*r + s - 54 = 0. Suppose -5*f + 107 - 112 = 0. Let u be (-510)/(-17) + 2 + f - 5. Calculate the highest common factor of u and r. 26 Let v = 10 + -2. Let n(g) = 0*g + 2*g + v + 0*g. Let l be n(14). Calculate the highest common factor of l and 12. 12 Let n be 5560/6 - 1284/(-963). Calculate the greatest common divisor of n and 608. 32 Let z(s) be the second derivative of 7/4*s**4 + 4*s**3 + 0 - 1/20*s**5 - 6*s**2 - 51*s. Let x be z(22). What is the greatest common factor of 4 and x? 4 Let k(d) = -d**2 - 8*d + 5. Let t be 6/14 - 59/7 - -3. Let i be k(t). Calculate the highest common factor of 340 and i. 20 Suppose -q + 50 = -4*v, 9*v = 5*q + 8*v - 269. Calculate the greatest common divisor of q and 10503. 27 Suppose 4*k - 2581 = -5*y, -3*y - 3521 + 916 = -4*k. What is the highest common divisor of k and 472? 59 Let k be (25*1/5 + 7)*11/2. Let o be 110*(82/10 - 1). What is the highest common divisor of k and o? 66 Let j be ((-8)/5)/((-3)/((-2565)/(-6))). Suppose 0 = 33*d - j - 234. What is the highest common divisor of d and 224? 14 Let m(j) = 8*j**3 - 3*j**2 - 4*j + 30. Let z be m(2). What is the highest common divisor of z and 3? 1 Let g(y) = -7*y**3 - 90*y**2 + 16*y + 56. Let x be g(-13). Calculate the highest common divisor of x and 18173. 17 Let i = 296 + -149. Let j be ((2 - 145/15) + 3)*(1 - 10). What is the highest common divisor of i and j? 21 Suppose 0 = -3*y + 2*k - 199 + 49, 2*k = y + 50. Let n = 10 + y. Let d = n + 66. What is the greatest common factor of 104 and d? 26 Suppose -12*g + 9*g - r + 597 = 0, 0 = -3*g + r + 591. Calculate the greatest common divisor of g and 18. 18 Let k = 4030 - 2976. Calculate the greatest common divisor of 170 and k. 34 Suppose p = f - 2103, 10529 = 299*f - 294*f + 2*p. What is the greatest common factor of 10 and f? 5 Suppose 2*q - 1379 = -4*i + 83, -1119 = -3*i - 6*q. Calculate the highest common divisor of i and 528. 33 Let w(c) = -63*c**2 + 759*c - 9. Let u be w(12). Calculate the greatest common divisor of u and 13149. 27 Let h(y) = y**2 - 4*y - 24. Let o be h(7). Let z(q) = -14*q - 40. Let g be z(o). What is the highest common factor of g and 14? 2 Let p be 3519/((3 + -1)*3/6) + 3. Calculate the greatest common factor of p and 66. 6 Let s = 377 + -327. Suppose -3*k + 0*d + 30 = 5*d, 0 = 5*k + 2*d - s. Calculate the greatest common divisor of k and 50. 10 Suppose -7*w + 20 = -2*w. Suppose -3*c - 34 = -w*c + 5*b, 5*b = -3*c + 2. Let u(s) = s - 2. Let g be u(c). Calculate the greatest common factor of 35 and g. 7 Let x be (52/10 - 2)/((-364)/(-120) + -3). What is the highest common factor of x and 1696? 32 Suppose 3*f + 51 = -108. Let s = 77 + f. Let q(o) = 12*o + 8. Let u be q(0). Calculate the highest common divisor of s and u. 8 Let u(t) = -t**2 - 28*t - 15. Let m be u(-6). Suppose 2*j + 5 = 41. Calculate the greatest common divisor of j and m. 9 Let p be (-51)/153 + 2/((-6)/107). Let i = 132 + p. Suppose 2*c - w - 22 = -3*w, -4*c + 4*w + 52 = 0. Calculate the highest common factor of c and i. 12 Let i be (-44 + 0)*(-4 + 85/20). Let d(t) = -t**3 - 13*t**2 - 25*t - 3. Let o be d(i). Calculate the greatest common divisor of 15 and o. 15 Suppose 5*h + 2*v = 441, 5*h - 100*v - 455 = -95*v. Calculate the greatest common factor of 2 and h. 1 Let q(k) = -10*k - 27. Let j(c) = -c + 1. Let n(v) = 3*j(v) - q(v). Let m be n(-2). Let l = -186 - -330. What is the highest common divisor of m and l? 16 Suppose 0 = 4*x + 7 - 171. Let t be x*(20/4)/5*1. Calculate the greatest common divisor of 287 and t. 41 Let v = 7590 + -6540. Calculate the greatest common divisor of v and 1875. 75 Let v(m) = m**2 - 13*m - 13. Suppose 96*s - 93*s = 42. Let p be v(s). Let h be 78*(((-20)/(-12))/1 - p). What is the greatest common divisor of 13 and h? 13 Let i be 6/(-21) - 813/21. Let d = i - -42. Suppose -4*a + 800 = -0*z + 2*z, 2*a - d*z - 384 = 0. What is the highest common divisor of 18 and a? 18 Suppose 4*f + 32 = 2*d, -8 = -3*f + 5*f - 3*d. Let p = f - -5. Let c be 4/p - 216/(-20). Calculate the highest common divisor of c and 5. 5 Let i be (18/(-4) + -2 - (-648)/108)*-90. Suppose 4*u - 166 = 446. What is the greatest common divisor of u and i? 9 Let v(w) = w**3 - 5*w**2 - 149*w + 473. Let a be v(3). Calculate the highest common factor of a and 124. 4 Let r = -41 + 53. Suppose 132 = -3*f - r*z + 7*z, 4*f = z - 153. Let s = f - -63. What is the highest common factor of s and 264? 24 Let v = -6 - 43. Let s = v - -54. Suppose 0 = -5*g - 0*g - s*x + 285, -x = -4*g + 213. What is the greatest common factor of 36 and g? 18 Let k(q) = 6*q - 6. Let l be k(5). Let t = 250 - 305. Let a be (-220)/(-6) + 3 + t/15. What is the highest common divisor of a and l? 12 Suppose 0 = -5*h + 2*l + 2738, -950*l = -948*l + 8. What is the highest common factor of h and 2912? 182 Let r = 1411 - 488. Suppose 4*m - 3*j - r = 382, -m + 2*j = -320. Calculate the highest common factor of m and 264. 66 Suppose -13*s - 76 = -271. Let d be 3/6*-1*-28. Let f be (d/42)/((-1)/(-15)). What is the greatest common factor of f and s? 5 Let c = -144 + 235. Let y(v) = 51*v - 229. Let h be y(5). What is the greatest common divisor of c and h? 13 Let s(a) = 241*a - 1569. Let y be s(9). What is the greatest common factor of 400 and y? 200 Suppose 6*f - 32*f = 82*f - 25920. What is the highest common divisor of 140 and f? 20 Suppose -9052*h + 9033*h = -931. Calculate the greatest common factor of h and 13279. 49 Suppose -74 = 4*r - 1254. Let c = r - 181. What is the highest common divisor of 171 and c? 57 Let h be 57/2*20/15. Suppose -6*k + 3 + 3 = 0. Let u(f) = 20*f**3 - 2*f**2 + f. Let x be u(k). What is the highest common factor of x and h? 19 Suppose -21*s + 22*s = 18. Suppose -2*w + 3*p + p = -20, 0 = 3*w + 4*p + 20. Let i be (-5 - -2)*(-6 - w). What is the greatest common factor of i and s? 18 Let y(m) = 6*m + 4. Let z be y(2)
{ "pile_set_name": "DM Mathematics" }