**2 - 2*m - 16. Is 42 a factor of d(4)?
True
Let s(w) = -w**3 - w**2 - 2*w + 16. Is 16 a factor of s(0)?
True
Let y be 1/((-2)/28) + -2. Let a = 4 - y. Is a a multiple of 10?
True
Is (-57)/9*(2 - 11) a multiple of 19?
True
Let k(m) = 2*m**3 - 5*m**2 + 3*m. Let s = -2 - -5. Is k(s) a multiple of 18?
True
Suppose 0 = 3*p + 6, -4*y - 2*p = -108. Is 7 a factor of y?
True
Let y(v) = 2*v**3 - 6*v**2 - 6*v + 3. Is 11 a factor of y(5)?
False
Suppose 3 + 17 = 5*o. Suppose o*j = v - 13, j - 35 = -v - v. Does 17 divide v?
True
Let c(b) = -b**3 - 4*b**2 - 6*b + 15. Does 26 divide c(-7)?
False
Suppose -2*n + 62 + 10 = 0. Suppose 0 = 2*g + 2*g - n. Let l(p) = p**2 - 6*p - 9. Does 18 divide l(g)?
True
Let u = 17 - 15. Suppose 2*f = 6, 46 + 40 = 4*p - u*f. Is p a multiple of 23?
True
Let r(i) = -i**2 + 0*i - 1 + 3 - 4*i + 2*i**3. Is r(3) a multiple of 21?
False
Let n = 11 + 1. Let w = -8 + n. Is 4 a factor of w?
True
Let d be (11 + -2)/3 - -1. Suppose 0 = d*h + 5*s + 181, 5*h + 205 = -0*h - 2*s. Let n = h + 59. Is 12 a factor of n?
False
Let z(b) = 24*b - 10. Does 38 divide z(2)?
True
Suppose 369 = -2*c + 5*c + 3*w, -4*w = -3*c + 376. Suppose -3*j + 2*k = -3*k - c, -4*j - 5*k = -107. Is 11 a factor of j?
True
Let m = -528 + 331. Is m/(-5) + (-15)/(-25) a multiple of 17?
False
Let f(b) = 2*b + 3. Let y be f(-2). Let i be (-4 - y)*(-2 + 1). Suppose -i*v - 12 = -102. Is 15 a factor of v?
True
Let a = -4 + 6. Suppose -3*v + 14 + 68 = 2*r, -r + 55 = a*v. Is 14 a factor of v?
True
Let w(j) = 4*j**2 - j + 0*j**2 + 3 - 3*j**2. Let v be w(0). Suppose 3*m - l - 78 = 3*l, -2*m + 69 = v*l. Is m a multiple of 13?
False
Suppose -3*j - 2*j = -25. Let o(u) = u**2 - 6*u + 5. Let s be o(j). Suppose s = -r - 3*r + 96. Is 12 a factor of r?
True
Suppose 0 = -2*o - 2*o - 8. Let j be ((-4)/(-6))/((-10)/735). Does 17 divide (-3 - -5)/o*j?
False
Suppose 0 = i - 0 - 32. Suppose -3*x + x + i = 4*f, 5*x + f = 71. Is x/((2/4)/1) a multiple of 14?
True
Let z be 2/3*(-9)/(-2). Suppose z*h = 2*h + 12. Suppose -2*b - 2*b = -h. Is b even?
False
Let h = 135 + -66. Suppose 2*d = -d + 6. Suppose -d*c = 3*z - h, -3*z + 4*c = -c - 48. Is 15 a factor of z?
False
Let x(r) = -67*r**3 + r + 1. Does 16 divide x(-1)?
False
Suppose 3*r - 5*r = 0. Suppose r = -3*m + 15, -2*f = 5*m - 115 + 10. Does 20 divide f?
True
Suppose 0 = -5*d + 139 + 6. Let j = d - 21. Does 4 divide j?
True
Let w = 19 + -17. Suppose w*t = 4*t - 178. Is 21 a factor of t?
False
Let w(n) = 10*n**2 - 1. Let o be ((-2)/3*-6)/2. Is 13 a factor of w(o)?
True
Let c = 0 + -2. Let t(m) = m**3 + 5*m**2 + m - 1. Let q be t(c). Suppose 3*o - 37 = -4*l, 3*o = 2*o - 2*l + q. Is 19 a factor of o?
True
Let f(s) = s**3 + 5*s**2 - s - 7. Let m be f(-5). Let x = -1 - -3. Is 2 a factor of (-1 - x/m) + 3?
False
Let i(s) = 11*s + 8. Let q be i(-10). Let b = q - -170. Does 20 divide b?
False
Let k(y) = 2*y**2 + 5*y - 4. Is 7 a factor of k(-5)?
True
Let n = 2 + 7. Suppose 3*t + 0*t = n. Suppose -5*l = -t*l - 5*h - 38, 57 = 3*l + h. Is 7 a factor of l?
False
Let z = 9 - -26. Does 9 divide z?
False
Let c = 6 + -4. Suppose -c*m = -1 - 3. Is 11 a factor of 5/m*-3*-2?
False
Let c(g) = g + 11. Let l be (0 + 2)*(-4 + 0). Let o be c(l). Does 5 divide 18/o*(-1 - -2)?
False
Suppose 0 = -5*j + 5*i + 20, -5*j + 5*i = i - 20. Let t(c) = -2*c - 7. Let f be t(-8). Suppose -2*p = -4*b - 52, f*p = j*p - 3*b + 65. Does 16 divide p?
True
Let x(k) = 5*k**2 + 4*k. Let b be x(-3). Let w = -19 + b. Is w a multiple of 7?
True
Let c = 8 - 7. Let d = c + 2. Suppose d*n = n + 8. Does 4 divide n?
True
Let q be (-2)/(-8) + 35/4. Let a = 12 - q. Suppose 4*g - a*n - 157 = -6*n, 3*n + 43 = g. Does 11 divide g?
False
Suppose 13 = 5*j - 2. Suppose v - j - 1 = 0. Suppose -3*p - 29 = -g - 2*p, v*g + p - 136 = 0. Is 18 a factor of g?
False
Let b = 2 - -4. Does 18 divide b/15 + (-264)/(-15)?
True
Let f(t) = -t**2 + 18*t - 16. Is f(5) a multiple of 29?
False
Suppose 4*k - 76 = 3*k. Does 19 divide k?
True
Let t = 7 - 4. Let w = -22 + 46. Suppose 2*a - 3*i = -i + w, 4*a = t*i + 48. Is a a multiple of 7?
False
Let g(c) = 2*c**2 - 5*c - 6. Is 10 a factor of g(6)?
False
Suppose -j - 105 = -4*j. Is j a multiple of 10?
False
Suppose -4*y + 0*y = -12. Suppose 0 = 2*l + y*h - 16, -3*l + 5*h = -5*l + 12. Does 7 divide l?
False
Suppose 12*m - 1811 = 61. Is m a multiple of 52?
True
Let y(w) = 14*w**2 + 8*w + 17. Let z(r) = -5*r**2 - 3*r - 6. Let h(s) = 6*y(s) + 17*z(s). Let b be h(-3). Suppose b = -j + 8. Is 4 a factor of j?
True
Let k(h) = -5*h - 5. Let a be -1 + (1 - 3) - 3. Is k(a) a multiple of 10?
False
Let s = 88 + -48. Does 20 divide s?
True
Suppose -i + 2 = -14. Let u be -2 - -1 - (9 - i). Let o(n) = -n**2 + 9*n + 5. Is o(u) a multiple of 15?
False
Suppose 0 = -4*o - 10*o + 700. Is 4 a factor of o?
False
Suppose -6*q + 2*q - 40 = -2*r, -r + 27 = 5*q. Is 22 a factor of r?
True
Suppose -6 = 2*p - 5*p. Let z(g) = -25*g**3 + 2*g**p - 3 - 9*g + 4 + 11*g. Is z(-1) a multiple of 13?
True
Suppose -2*d - 3*d + 45 = 0. Suppose -30 = -2*r - 2*k - 0*k, 0 = 3*k - d. Is 10 a factor of r?
False
Let q = 126 - 53. Let x = q + -41. Does 17 divide x?
False
Let w be (-444)/13 - 6/(-39). Let u = w + 68. Does 17 divide u?
True
Let v(y) = y**3 + 10*y**2 + 7*y - 3. Is 23 a factor of v(-8)?
True
Let y = 41 + 15. Is y a multiple of 8?
True
Suppose 20 = 2*o + 3*i - 8*i, -5*o = -i - 4. Let n = 2 - o. Suppose n*m = 1 + 99. Does 17 divide m?
False
Let s be (6/6)/(-1*1). Let o = 4 + s. Suppose -o*m + 42 = -m. Is 13 a factor of m?
False
Let c be 11/(-3) - (-2)/(-6). Let x be 38/c - (-1)/(-2). Is 10 a factor of 3*(-2)/6*x?
True
Suppose -23 = -v + 2*k, 2*k + 17 = 5*v - 122. Is 4 a factor of v?
False
Let w = 14 - 10. Suppose w*a = 3*b + 57, 40 = 3*a - 8*b + 3*b. Does 6 divide a?
False
Let i(m) = 17*m**2 - m. Does 9 divide i(1)?
False
Is (-2)/3 + ((-258)/(-9) - -2) a multiple of 21?
False
Let c(t) = 0 - t**2 + 8*t**2 + 5 + 6*t + t**3. Suppose s = 5*z - 1, 2*z - 21 = 3*s + 5*z. Is 2 a factor of c(s)?
False
Let v(f) = -f - 4. Let g(p) = p**2 - 8*p - 2. Let i be g(7). Let z be v(i). Suppose 5*l - z*u + 3 = 78, -4*u = -4. Is l a multiple of 8?
True
Suppose -8*w = -130 - 62. Does 6 divide w?
True
Does 15 divide 376 - -3*(-3)/9?
True
Let q(w) = 70*w - 3. Let l be q(3). Suppose 5*m = -2*c - c + l, -2*m = -2*c + 122. Suppose 0*p + c = 4*p. Does 8 divide p?
True
Suppose -98 = -3*v + 64. Is v a multiple of 18?
True
Let f(p) = 22*p. Let b be f(4). Suppose -3*v - 28 + b = 0. Is 12 a factor of v?
False
Let y be (-18)/(-8) - 1/4. Let b = 12 - y. Does 5 divide b?
True
Let m(r) = r**3 - 5*r**2 + 5. Suppose -5*k + 31 = -3*i, -k + i - 4*i = 1. Is m(k) a multiple of 2?
False
Is 3870/12 + (-1)/2*-1 a multiple of 17?
True
Let i(c) = -c**3 - 4*c**2 - 4*c - 3. Let p be i(-2). Does 15 divide 1/((p/(-43))/3)?
False
Suppose 0 = -s - v - 0*v - 12, -2*s + 2*v - 12 = 0. Let o be (-3)/s - (-5)/3. Suppose -3*b + 110 = o*b. Is 14 a factor of b?
False
Suppose 5*m - 33 = 52. Is 6 a factor of m?
False
Is 5 a factor of (-74)/(-3) + 1 + (-8)/12?
True
Let c be 110/2 - (1 + -1). Suppose 0 = 3*v - c - 11. Is 11 a factor of v?
True
Let h be 3/(-12) + 396/(-16). Let j = -17 - h. Is j a multiple of 8?
True
Let g = 11 + 0. Suppose 2*r = 6*r. Suppose r*l - g = -l. Does 5 divide l?
False
Suppose -5*x + 404 = -21. Suppose 5*t + 0*t = x. Is 5 a factor of t?
False
Let w = -3 + 12. Does 4 divide w?
False
Let u = -28 + 40. Suppose -2*q - 11 = 3*s, 3*s + q = 1 - 11. Let t = s + u. Is 9 a factor of t?
True
Let p(w) = w**3 + 5*w**2 + 5*w + 6. Let f be p(-4). Let n be -2*((-1)/f - 1). Suppose -4*j + 23 = 5*t, -4*j + n*j = -4*t - 11. Is j a multiple of 4?
False
Let b(m) = -2*m + 2. Let l be 1/(-2) + (-102)/(-4). Suppose -2*i - 14 - l = 5*z, -2*z - i = 15. Is 9 a factor of b(z)?
False
Suppose 4 = -2*g + 6*g. Let l be (g/2 + -2)*-2. Let p(b) = 9*b + 2. Is 13 a factor of p(l)?
False
Suppose 5*t = -284 + 1014. Does 14 divide t?
False
Suppose 5*i + 5*j = -17 + 2, -11 = 5*i + 4*j. Let o = -9 - i. Is 14 a factor of 568/20 + 4/o?
True
Suppose 0*d = -4*d + 12, -f + d = -177. Does 13 divide f?
False
Let i = 17 + -6. Suppose -z - 25 = -5*m, 2*z + 1 = i. Is m a multiple of 3?
True
Let y(d) be the second derivative of d**5/20 - 2*d**4/3 + d**3/3 - 5*d**2 - 2*d. Does 6 divide y(8)?
True
Suppose 8*s