 p = -38 - u. Is p a multiple of 14?
True
Let a be 24 + (-1)/(3/6). Let h = 56 - a. Suppose -h = -4*v - 2. Does 8 divide v?
True
Suppose -2*x + 51 - 9 = 0. Does 10 divide x?
False
Let b be 0*(28/(-8))/(-7). Let m(a) = -a**2 + 2*a + 43. Is m(b) a multiple of 11?
False
Let h(d) = 27*d**3 - d + 2. Does 7 divide h(1)?
True
Suppose 5*b - 529 = -2*w - 45, 5*b - 482 = -w. Is 24 a factor of b?
True
Suppose -3*s + 4*s = -6. Let i(k) = -24*k - 9. Let z be i(s). Suppose 0*n = 5*n - z. Is 10 a factor of n?
False
Is 11 a factor of (-12)/(-15) - (-326)/5?
True
Let s be 6/(-9) + 24/9. Suppose s*b = 4*l - 0*l + 20, 36 = 4*b - 4*l. Does 8 divide b?
True
Suppose 0 = 4*q - 4 + 12. Let w be q*(5/(-2))/5. Suppose 0 = g - 0 - w, -4*f + 59 = -g. Is f a multiple of 12?
False
Let d(n) = -50*n + 15. Does 55 divide d(-3)?
True
Let j(b) = b**2 - 3*b - 1. Let u be j(4). Suppose 3*w - q - 16 + 0 = 0, 0 = u*w + 3*q - 12. Suppose -w*c + 16 = -34. Is 10 a factor of c?
True
Let h(y) = 16*y - 1. Let x be h(1). Is (-2152)/(-60) + 2/x a multiple of 18?
True
Suppose -3*r = 2*r - 140. Is r a multiple of 8?
False
Let s(n) = n**3 - n**2 + 3. Let f be s(0). Let h = 3 - 3. Is (f - -30) + (h - 1) a multiple of 16?
True
Let m = 2 - 0. Suppose 0 = 3*b - m - 4. Suppose -q + h + 1 = -3*h, b*q + h = 29. Is q a multiple of 11?
False
Let p(s) = 59*s - 1. Does 20 divide p(1)?
False
Let n(k) = -k**2 - 8*k - 5. Let s be n(-5). Let m be 4/(-10) - (-4)/s. Suppose 165 = 3*i + 4*v, -5*i + m*v = -2*v - 249. Does 13 divide i?
False
Suppose 4*g - 4*t - 53 = 51, -6 = 3*t. Is 12 a factor of g?
True
Suppose 5*o = o + 8. Suppose 0*w = o*w - 18. Does 4 divide w?
False
Let o = -218 - -373. Is 31 a factor of o?
True
Suppose 0*c + 4*c = -2*s + 564, 3*s = 5*c - 716. Is 4 a factor of (-1)/5 - c/(-10)?
False
Suppose -4*t - 2*k = -2*t + 14, -19 = t + 5*k. Let u(x) be the third derivative of x**6/120 + x**5/10 - x**4/12 - 5*x**3/6 - 3*x**2. Does 19 divide u(t)?
False
Let w(u) = 9*u**2 + 7*u. Is w(-2) a multiple of 8?
False
Suppose 0 = -2*f - 2*x + 2, -3 - 9 = 4*x. Suppose m + 32 = -0*r - 4*r, -2*r + f = 0. Let a = m - -68. Does 14 divide a?
True
Let b(w) = -w**2 - 4*w - 1. Let p be b(-3). Suppose -7 = z - 0*z + 2*k, 0 = p*k + 10. Suppose z*j - j - 22 = 0. Is 11 a factor of j?
True
Suppose 4*o - 4 = 3*o. Is 11 a factor of (o + -3)/(1/22)?
True
Suppose 3*w - 4*w = 4. Is w/(-22) - (-768)/11 a multiple of 24?
False
Suppose 0*k + 7*k = 1631. Is k a multiple of 13?
False
Let p = -23 + -5. Let m = p + 56. Let v = -15 + m. Is 13 a factor of v?
True
Suppose x - 10 = -4*x. Suppose 0 = -h - 5*d + 33, -4*h - 50 = x*d - 128. Does 5 divide h?
False
Suppose 2*j - 8 = -t - t, 3*t - 14 = -j. Suppose -4*w = -b - 0 + 24, 0 = -t*b + w + 158. Let l = b + -17. Is l a multiple of 9?
False
Suppose -4*i = 28 - 36. Suppose 2*n - 5*f = 5*n - 132, 3*f = i*n - 69. Does 13 divide n?
True
Let p(n) = 3*n - 4 - 3 - n. Suppose 0 = 2*q - 3*q + 7. Is 3 a factor of p(q)?
False
Let a = -21 + 21. Let k = a + 2. Does 2 divide k?
True
Suppose x - 5*x + 105 = -5*s, 2*x + 4*s - 72 = 0. Suppose 2*l - x = -0*l. Does 15 divide l?
True
Suppose -h + 4*m = -23 - 17, -55 = -4*h - 5*m. Does 5 divide h?
True
Let p be 20*33/(-6)*-1. Suppose n - 3*n = -p. Suppose 5*m = -5*x + n, -72 = -6*m + 2*m + 3*x. Is 15 a factor of m?
True
Suppose -a - 66 = -5*g, -3*g = -a - 3*a - 26. Suppose -5*n = -3*z + g - 122, -3*n + z = -68. Is 12 a factor of n?
True
Let u(d) = d**2 + d + 16. Let t be u(0). Let s(q) = -q**2 - 10*q - 16. Let h be s(-7). Does 20 divide (t/h)/((-8)/(-100))?
True
Let v(u) = -2*u - 11. Is v(-7) even?
False
Is 18 a factor of -2 - 2/(4/(-166))?
False
Suppose 0*b = -2*b + 34. Does 7 divide b?
False
Let k = -47 + 60. Is 9 a factor of k?
False
Is (2/(-1))/((-13)/78) even?
True
Let q(m) = -2*m**3 - 6*m**2 - 3*m + 3. Let y(c) = -c**2 - 3*c - 4. Let h be y(-3). Is 21 a factor of q(h)?
False
Let h be (-15)/6*12/(-15). Suppose -h - 10 = 2*x. Is (40 + -2)*(-3)/x a multiple of 11?
False
Let q(h) = 4 - h + 3 - 3. Does 4 divide q(0)?
True
Let l be 2/(-4)*(-6 + 0). Does 5 divide (21/l*-2)/(-2)?
False
Suppose 5*u - 42 = 4*o + 95, -o - 103 = -4*u. Suppose -u = -2*b - 1. Does 6 divide b?
True
Let v(t) = t**3 - t**2 + 17. Suppose 2*q - 4*n + 5 = 1, 5*q = 4*n - 4. Is v(q) a multiple of 11?
False
Let n(s) = -s**3 + 10*s**2 - 3*s - 7. Does 37 divide n(8)?
False
Is 1/(-9) + 388/9 a multiple of 12?
False
Suppose 0 = a - 2*a - 5*y + 7, -y + 11 = 5*a. Let u be (3 - a)/(1/(-14)). Let m = u + 37. Is 10 a factor of m?
False
Let b(d) = -4*d**2 - 3*d - 3. Let x be b(-2). Let o = -10 - x. Is o even?
False
Suppose -57 - 48 = -2*g - 3*l, 5*l - 15 = 0. Does 12 divide g?
True
Let o(p) = -3 - 2*p + p + 6. Let d be o(5). Is 15 a factor of (-4)/d + 52/2?
False
Suppose -4*t + 5*y + 26 = -27, 0 = 3*t - 5*y - 41. Let q be (t/20)/(1/15). Suppose m - 25 = -q. Is m a multiple of 8?
True
Let p = -5 + 7. Is p even?
True
Let l = 7 + 4. Let b = -9 + l. Suppose -b*k + 8 = -8. Does 4 divide k?
True
Let a = 70 + 48. Does 17 divide a?
False
Suppose 57*x - 64*x + 1540 = 0. Is x a multiple of 22?
True
Let w(u) = 2*u**3 - 2*u**2 + 2*u - 2. Is w(3) a multiple of 20?
True
Suppose -3*r = 2*b - 16, 0 = b - 4*r - 18 - 12. Is b a multiple of 8?
False
Let g = 96 - 141. Let c = -25 - g. Is c a multiple of 20?
True
Suppose -q = 0, 6*q - 210 = -5*p + 2*q. Is 14 a factor of p?
True
Suppose -2*o = 3*o. Suppose o*b - 26 = -b. Does 10 divide b?
False
Suppose 2*u = 3*f - 3*u + 13, u + 11 = 4*f. Is (1 + 28)/(-3 + f) a multiple of 7?
False
Let i(r) = -r**2 + 11*r + 1. Let f(q) = -q**3 + 11*q**2 + 13*q + 4. Let m be f(12). Let a = m - 8. Is i(a) a multiple of 12?
False
Let x = -39 + -16. Let y = x + 111. Does 12 divide y?
False
Let m be 2/(-7) + 44/7. Suppose m*s - 2*s - 56 = 0. Does 13 divide s?
False
Let y be 2 - 3 - 1 - -7. Suppose y*h - 60 = h. Is h a multiple of 15?
True
Let c = 8 - 4. Suppose 2*k = -4*l - c, 4*k - l - 12 = -2. Is k a multiple of 2?
True
Let p(q) = q**2 - q - 2. Let m be p(2). Suppose -5*s = -6*s + 15. Let l = m + s. Does 15 divide l?
True
Let q(a) = -2*a + 34. Is 8 a factor of q(-19)?
True
Let f be (-4)/6 - (-32)/12. Suppose -6*l = -f*l - 12. Does 4 divide (-5)/((-1)/(l + -2))?
False
Let f be 8/3 + (-2)/(-6). Let q(k) = k**3 - 2*k**2 - k - 4. Let t be q(f). Suppose 0 = -t*v - 6, r - 2*v = 17. Is r a multiple of 5?
False
Suppose 0 = 2*z + 2 - 10. Suppose 3*m - 150 = -3*k, z*m - 2*m - 100 = 4*k. Suppose -2*a + m = 20. Does 15 divide a?
True
Let z be 5/(-20) + 13/4. Does 15 divide z/12*34*4?
False
Let y = 3 - 4. Let m(h) = -6*h. Let r be m(y). Is r/8 - (-98)/8 a multiple of 5?
False
Suppose 4*l + 37 = 197. Does 10 divide l?
True
Let l(h) = -2*h + 7. Let i(p) = -p**3 + 5*p**2 - 2*p - 4. Let z be i(3). Let k be 1 - z - (-3 - -1). Does 17 divide l(k)?
True
Does 2 divide (-2)/(-4)*(5 - -25)?
False
Suppose 7*i - 5*o + 40 = 2*i, 0 = 3*o - 15. Let n = 6 + i. Is n even?
False
Suppose -19 = n + 6*v - 2*v, -4*n + 19 = -3*v. Let k(s) = 265*s + 25. Let o(c) = -22*c - 2. Let d(f) = -2*k(f) - 25*o(f). Is 8 a factor of d(n)?
False
Let k be 1826/(-10) - 4/10. Let s = 113 + k. Is 12 a factor of s/(-3) - 2/(-3)?
True
Let v be ((-14)/7)/(2/(-5)). Suppose 5*r + u - 55 = 0, -r - 3*u + 20 = -v. Does 10 divide r?
True
Suppose -4*r + 5*n = 12, r + 4*n = -4*r + 26. Suppose 2*f + 4 - r = 0, 2*w = -5*f + 71. Is 19 a factor of w?
True
Let z = 70 + -27. Let x = z + 13. Is 17 a factor of x?
False
Let w = -16 + 11. Let i = 30 + -42. Does 5 divide i/w*10/2?
False
Suppose -8*c = -3*r - 3*c - 7, r - 2*c + 3 = 0. Let o be r*(-2 + 1)*-42. Suppose -5*i + o = -3*i. Is 9 a factor of i?
False
Suppose -41*c - 280 = -45*c. Is 10 a factor of c?
True
Let g(h) = h**3 - h**2 + h - 4. Let r be g(0). Let d be r*(-1 + 82/8). Let j = -21 - d. Is 8 a factor of j?
True
Suppose -2*h - 5*u + 3 = -0*u, 3 = h + u. Let z be h/6*6/(-4). Is 2 + (z + -1)*-17 a multiple of 18?
True
Let o(c) = 4*c**2 - 1. Let b be o(1). Let i(h) = -h**3 + 7*h**2 + h - 7. Let d be i(7). Suppose -24 = -b*g - d*g. Does 8 divide g?
True
Let s = -4 - 20. Let j = s - -53. Is 8 a factor of j?
False
Let p(n) = -n + 7. Let i be p(-3). Let t = 49 - i. Does 13 divide t?
True
Suppose 3*u - 5 = 5*m, -4*m + 6 + 27 = 5*u. Let t = -94 + 146. Suppose -u*v - 4*s = -t, -v = -4*v - 5*s + 39. Is 8 a factor of