 Does 6 divide p(8)?
True
Suppose 3*a = 8*a - 10. Suppose -2*i = -n - 32, 0 = -i - 0*i - 2*n + 26. Is 15 a factor of (60/i)/(a/9)?
True
Let c be (-8)/(-2) + -2 - -80. Suppose -a + 4*a + 4*z = 129, 0 = -5*z. Let f = c - a. Does 15 divide f?
False
Let d be (-10)/(-6)*(-3)/(-1). Suppose -r = -5*b - 9, 2*b + 165 = 5*r + 7*b. Suppose -q + 24 = 4*v, -d*v + 22 = 2*q - r. Does 12 divide q?
False
Suppose 0 = -p - 0*p + 5. Suppose -p*c + 18 = 3. Suppose c*a - 17 = -0*a - 2*q, 2*a - 18 = -3*q. Is a a multiple of 3?
True
Let h(f) = 4*f - 4. Is h(5) a multiple of 16?
True
Let f be -2 + 25 + 1 + 1. Let b = f + -14. Does 8 divide b?
False
Suppose 0 = -0*w + w - 4*x - 118, -309 = -3*w + 3*x. Let j be 2/(-8) - w/(-8). Suppose 3*k = g - 6, -2*g + 2*k + j = -0*g. Does 4 divide g?
False
Suppose z = 4*n + 1, -4*z = -2*z - 5*n + 7. Let w(h) = -5*h - 16. Is w(z) a multiple of 15?
False
Let a(q) = -q**2 + 3*q + 51. Is 17 a factor of a(0)?
True
Suppose 0 = 2*z - 8 + 2. Suppose z*a = 2*c + 18, -5*a + 4*c - 3*c = -37. Is 4 a factor of a?
True
Suppose 0 = -12*r + 16*r - 64. Does 11 divide r?
False
Suppose -5*u - 4 - 1 = 0. Let i(s) = -4*s - 1. Is i(u) a multiple of 3?
True
Let r = 7 - -5. Suppose -6 = -k - a + r, -3*k + 2*a = -54. Does 11 divide k?
False
Let a(p) = p**2 + 5. Let v(r) = -r**3 - 2*r**2 + 4*r + 3. Let q be v(-2). Is a(q) a multiple of 13?
False
Suppose 5*z = 5, 5*q + 5*z = q + 105. Suppose -4*s = -q - 15. Is 3 a factor of s?
False
Suppose 2*d = -2*w + 32, 7*d - 5*w = 5*d + 53. Is 8 a factor of d?
False
Let h(j) = j**2 + 3*j - 5. Let y be h(-6). Let l = y + -5. Is 2 a factor of l?
True
Let u = -12 - -82. Is 14 a factor of u?
True
Let a(j) = j**2 + 3*j - 5. Let v(g) = -g**2 - g - 5. Let n be v(0). Let l be a(n). Suppose l = 3*o - 13. Is o a multiple of 3?
True
Let k = 4 + -1. Suppose k*d + d - 44 = 0. Does 11 divide d?
True
Let j be -3*5/(45/84). Let p be (3*-1)/((-4)/j). Let y = 47 + p. Is 11 a factor of y?
False
Let s be 15/(-10) + 7/2. Suppose 3*f = l + 6, 0 = -4*l + s*l. Suppose 0 = f*r + r - 6. Does 2 divide r?
True
Let r = -8 - -2. Does 20 divide 1038/21 - r/(-14)?
False
Let q(d) be the first derivative of d + 1 - 1/2*d**2. Is q(-2) a multiple of 2?
False
Let x = -18 - -99. Is x a multiple of 37?
False
Let v(g) = 3*g**2 + 0 + g + 1 + 2 - 6*g. Suppose 0 - 4 = -k. Is v(k) a multiple of 11?
False
Let y be (12 + -11)/(1/(-2)). Let q = y - -6. Let s = q + 4. Does 4 divide s?
True
Suppose 0 = 5*g - 15, -2*q - g + 185 = 38. Does 9 divide q?
True
Let a = -20 - -46. Suppose 2*f = -f + 2*c - 46, 5*f + c = -55. Let g = f + a. Is g a multiple of 14?
True
Let q be ((-1)/(-2))/(3/12). Suppose -26 = -q*u + 4*o, 8 = 2*o - 4*o. Suppose c - 50 = -2*x - c, u*c + 36 = 2*x. Does 11 divide x?
False
Let c(f) = 267*f - 5. Let b(k) = -k + 1. Let u(a) = 4*b(a) + c(a). Let j be u(1). Suppose -4*t - 106 + j = 0. Is 18 a factor of t?
False
Let p(d) = -5*d - 1. Let j be p(2). Is 7 a factor of 2 - (-3 + 6) - j?
False
Let r = -1476 + 1004. Is 17 a factor of r/(-14) - (-4)/14?
True
Suppose 20 = 5*o - 3*a, -3*o + 8*o + 5*a = 20. Is 4 a factor of o?
True
Let b = 193 - 133. Is 20 a factor of b?
True
Suppose 5*k - 12 = -2. Suppose k*x = 5 + 1. Suppose -x*w + 9 + 57 = 0. Is w a multiple of 11?
True
Suppose -n = -2*j + 6*j - 15, 2*j - 4 = -4*n. Suppose j*p - 218 = 42. Is 14 a factor of p?
False
Let j(h) = -h**3 - 10*h**2 - 11*h - 6. Let x be -11 - (2 - (6 + -2)). Is j(x) a multiple of 12?
True
Suppose -2 = 5*l - 22. Suppose l*m - 200 = -4*h, 3*h - 185 = -0*m + 4*m. Suppose -v = -0*v - h. Is 20 a factor of v?
False
Let k(f) = -f**3 - 2*f**2 - 2*f + 4. Is k(-4) a multiple of 5?
False
Let n(s) = -s - 1. Is n(-3) even?
True
Let z = -20 - -29. Does 3 divide z?
True
Let r = -13 - -15. Is 4 a factor of 11 - (1*-4)/r?
False
Suppose -5*t = 3*q + 10, t = q - 2*q - 4. Let a be 80/(-5)*t/(-2). Suppose 3*r = a*r - 160. Is r a multiple of 18?
False
Suppose 8 = 6*w - 4*w. Suppose 126 + 162 = w*b. Is 20 a factor of b?
False
Let i be 11 + 5/((-5)/3). Suppose -3*s - i = -41. Is 11 a factor of s?
True
Let f(g) = -10*g + 6. Let k be f(-5). Let u = k + -22. Does 17 divide u?
True
Suppose -8*v = -v - 735. Does 7 divide v?
True
Let f be (2/5)/(1/(-5)). Let y be f + (-3)/3 + 11. Let j = y + -1. Does 3 divide j?
False
Let y be 17/4 - 1/4. Suppose y*f - 91 = 281. Suppose -6 + f = 3*s. Is 10 a factor of s?
False
Let b(m) = 5*m**2 - 1. Let r(w) be the third derivative of -w**5/10 - w**4/24 + w**3/6 + 3*w**2. Let i(y) = 4*b(y) + 3*r(y). Is 4 a factor of i(3)?
True
Suppose 3*n = -1 - 2. Let a = 5 - n. Is 6 a factor of a?
True
Let x = 129 - 14. Let p(k) = k**3 - 12*k**2 + 11*k + 5. Let b be p(11). Suppose -3*v + x = -l, -106 - 99 = -b*v - l. Is 20 a factor of v?
True
Let t(w) = w**3 - 12*w**2 + 2*w - 6. Is t(12) a multiple of 18?
True
Does 27 divide 83 + 0 + 4 + -6?
True
Let t = 7 - -13. Is t a multiple of 10?
True
Suppose -206 + 56 = -3*f. Is f a multiple of 25?
True
Let a(v) be the third derivative of -v**4/6 - v**3/6 + 3*v**2. Is a(-7) a multiple of 13?
False
Let x(u) = -2*u**3 - 10*u**2 + 2*u - 9. Does 23 divide x(-6)?
False
Suppose -2*m = -3*t - 270 + 93, 12 = -4*t. Is 28 a factor of m?
True
Suppose -4*o = 181 - 749. Is o a multiple of 30?
False
Does 6 divide (-36)/24*106/(-3)?
False
Let l be (-596)/(-10) - 2/(-5). Suppose -5*t + 0*t + 4*y = -l, 0 = -3*t - 3*y + 63. Is 15 a factor of t?
False
Let f = 7 - 3. Suppose -m = -d - f, 0 = -5*d + 2*m + 2*m - 22. Does 10 divide (-116)/d - 4/(-6)?
True
Let l(a) = 4*a**2 + 3*a - 4. Let v be l(-3). Let n = v - 2. Is n a multiple of 21?
True
Let w be (-1146)/(-42) + (-2)/7. Let a = w + -6. Is a a multiple of 7?
True
Let i = -16 - -12. Let r be ((-6)/4)/(1/(-108)). Is (2/i)/((-3)/r) a multiple of 10?
False
Suppose -6*a = -3*a - 5*q - 22, 0 = 5*a - 3*q - 58. Is 12 a factor of a?
False
Suppose -6*w + 2*a + 14 = -4*w, -3*a = 12. Suppose 4*v - 19 = -n, n - 4 - w = -v. Suppose m + n*m = 36. Is m a multiple of 4?
False
Suppose 0 = b - 2 - 5. Let j = b + -5. Suppose -j*r - 4*p = -26, -3*p + 1 - 7 = 0. Does 17 divide r?
True
Let w(p) = p**3 - 6*p**2 + 2*p - 6. Suppose 3 - 9 = -f. Is 2 a factor of w(f)?
True
Suppose -2*g = 3*g - 60. Is 16 a factor of (-110)/(-6) - 4/g?
False
Suppose -214 = -4*k + 2*j, 3*k - 5*j - 69 = 88. Does 16 divide k?
False
Let x(p) = 16*p**3 - 2*p**2 + 1. Let k be x(1). Suppose -2*s = -33 - k. Is 12 a factor of s?
True
Let b(c) = 22*c. Let h(y) = -y. Let z = -1 - -2. Let m(r) = z*b(r) + 8*h(r). Is m(1) a multiple of 10?
False
Suppose z - 119 = -3*a, -3*z - 2*a = -0*z - 357. Does 17 divide z?
True
Is (-3)/15 - (-2180)/25 a multiple of 16?
False
Suppose 1 + 1 = -y + 2*j, y = 5*j - 11. Suppose -3*n = -2*a + 6*a + 88, 3*n - y*a = -80. Let m = n + 57. Is m a multiple of 20?
False
Let b be 2/(-4) + 34/4. Suppose 3*s - 13 = -2*i, i + 3*s = -4*i + 37. Let l = b + i. Is 11 a factor of l?
False
Let z = -14 + 22. Is 8 a factor of (-5 + 1)/(z/(-16))?
True
Let q = -72 - -109. Is q a multiple of 37?
True
Let t be 1*-1*7 - 0. Let u = t + 10. Suppose 0 = j - u*j + 48. Is j a multiple of 12?
True
Let w(u) = u + 4. Let s be w(-4). Suppose s = -0*d + d - 22. Suppose -21 = -g + d. Is g a multiple of 16?
False
Let n(v) = v**2 + 9*v + 2. Suppose 1 + 17 = 2*o. Suppose -o = z + 1. Does 10 divide n(z)?
False
Suppose -j = 3*j - 256. Is 13 a factor of j?
False
Let n = -46 + 118. Suppose 0 = -4*x + x + n. Let a = -5 + x. Is 11 a factor of a?
False
Let u(c) = c**3 - 14*c**2 + 20. Does 15 divide u(14)?
False
Let m(r) = r**2 - 2*r - 1. Let v be m(-1). Let z = v - 0. Suppose -p - 1 = 0, 2*p - 40 = -z*c - 8. Is 17 a factor of c?
True
Let f be -1*6*3/(-9). Suppose 6 = -3*m - k, f*k + 5 + 1 = 0. Does 5 divide m + 3/(-6)*-22?
True
Let r(t) = t**3 + 2*t**2 - 4*t. Let k be r(-3). Suppose 0 = -4*q + 5*x + 148, 8*q - 194 = k*q + 4*x. Is q a multiple of 14?
True
Suppose -48*i = -46*i - 638. Is 51 a factor of i?
False
Suppose 0*z - 190 = -2*z. Suppose 5*k = -n + z, -5*n + 19 + 404 = -k. Suppose 0*q - 31 = -2*y + q, 5*y - n = 5*q. Is y a multiple of 7?
True
Suppose 4*c + 11 = 51. Suppose 2*p - 26 = -4*j, -5*j + 9 = -2*p - c. Suppose -4*h - 2*o - 3*o + 159 = 0, 0 = p*h - 3*o - 99. Does 13 divide h?
False
Let y = 3 - 8. Let m = y - -3. Is 23 + -4 - (2 + m) a multiple of 19?
True
Let i(c) = -2*c**3 - 7*c**2