0 - c**4/24 + c**3/6 + 2*c**2. Is 12 a factor of k(j)?
True
Let j(l) = 3*l**3 + 4*l + 0*l - 4*l**3 + 4 - 2*l**2. Let y be j(-3). Is (-1)/y - 11/(-1) a multiple of 4?
False
Let o(m) = m**3 + 6*m**2 + m - 3. Is 2 a factor of o(-5)?
False
Let h(p) = 10*p**2 - 7*p - 6. Let a be h(-4). Suppose 0 = 3*o + 44 - a. Suppose -l = l - o. Does 22 divide l?
False
Suppose 0*j - 5*j = -2*l - 104, j = 5*l + 30. Suppose t + 4 = -2*z, 2*t - 2*z = j + 2. Is 2 a factor of t?
True
Suppose 5*j - 492 = -3*o, 2*o + 2*o - 3*j = 685. Is 13 a factor of o?
True
Let l(p) = -p**3 - 13*p**2 - 12*p + 10. Does 3 divide l(-12)?
False
Suppose -748 = -16*k + 852. Is k a multiple of 20?
True
Suppose -473 = -5*k + 1447. Suppose -k = -a - 3*a. Is 32 a factor of a?
True
Let a(b) = -8*b**3 + 2*b**2 - 4*b - 5. Is 15 a factor of a(-2)?
True
Let s = 28 + 7. Does 10 divide 1 + s - (-2 + 5)?
False
Let u(n) = -n**2 - 3*n - 1. Let i be u(-3). Is 16 a factor of i*(2 + -3) + 37?
False
Suppose 8 - 47 = -u. Does 13 divide u?
True
Let u(f) be the first derivative of -f**4/4 + f**3/3 + f**2/2 - 30*f - 2. Let o be u(0). Let w = o - -47. Is 11 a factor of w?
False
Let i(f) = -5*f**2 - 5*f + 2. Let z be i(4). Let m = 190 + z. Does 23 divide m?
True
Let i = 127 - 211. Is i/(-15)*30/4 a multiple of 21?
True
Suppose -4 = -2*u + u. Suppose 5*x - u*x - 4 = 0. Suppose 59 + 69 = x*q. Does 16 divide q?
True
Let n(u) = -8*u**2 + 4*u - 23. Let k(f) be the second derivative of f**4/4 - f**3/6 + 4*f**2 + 3*f. Let c(d) = 11*k(d) + 4*n(d). Does 17 divide c(-8)?
False
Suppose -195 = -2*z + 3*c, -5*z + 515 = -2*c - 0*c. Suppose z = 2*u + k - 4*k, -4*k = 5*u - 205. Is u a multiple of 15?
True
Suppose -2*j - c - 3 = 0, 4*c - 9*c = 25. Let f(g) = 28*g + 16*g + 10*g - 9*g. Does 20 divide f(j)?
False
Suppose 395 + 397 = 8*i. Does 9 divide i?
True
Let n(k) = -6*k + 43. Is n(-10) a multiple of 3?
False
Suppose 3*l = -2*l + 220. Suppose 0 = -5*b + b + l. Is b a multiple of 4?
False
Let r(x) = -64*x - 1. Let a be r(-1). Suppose 4*u - u = -5*h + a, 5*u = 3*h + 71. Is u a multiple of 8?
True
Let t = 11 - 7. Suppose 0 = -f + o, -6*o = t*f - 3*o - 14. Suppose 2*n - 16 = -f*b - 0*b, -b + 3*n + 16 = 0. Is b a multiple of 5?
True
Suppose -6*y = -0*y + 132. Let u = 42 + y. Is 5 a factor of u?
True
Suppose -12*y + 7*y = 0. Is 20 a factor of 3 - (-34 - (3 + y))?
True
Suppose -16*p + 137 + 1207 = 0. Does 6 divide p?
True
Suppose 4*b + 5*u = 4, 0 = -4*b + u + 1 + 3. Suppose -k + b = -2. Does 13 divide 1*34*k/6?
False
Let r(i) = -12*i**2 - 2*i + 1. Let q be r(1). Let l = -3 - q. Is l a multiple of 7?
False
Let f be (-2)/(-5) + 106/10. Suppose 4*g + 1 = -j, -j - j + 5*g + f = 0. Suppose 5*p - 124 = -3*c, 0 = 8*c - j*c - 15. Does 13 divide p?
False
Let x(z) = z**2 - 6*z - 1. Let i be x(11). Suppose 4*v - i = -2*v. Is v a multiple of 9?
True
Suppose 8*k - 162 = 5*k. Does 22 divide k?
False
Suppose -3 - 3 = -3*r + 3*t, 4*t = -r + 7. Suppose 0 = -r*o + 2*o + 17. Is 12 a factor of (2/(-2))/((-1)/o)?
False
Let j = -3 - -2. Let o(m) = 3*m**2 + m. Let s be o(j). Let i = 4 - s. Is 2 a factor of i?
True
Suppose 7 = l - 11. Let o be (-6)/(-27) - 58/l. Let i = 4 - o. Is i a multiple of 2?
False
Let q be -9*((-4)/(-6) + -1). Suppose 0 = c + q*c - 4*r, 4*c + 4*r = 0. Suppose 2*t - 34 = -c*t. Is 17 a factor of t?
True
Is (93/(-2))/(-1) - (-2)/(-4) a multiple of 23?
True
Suppose -3*d + 3*d = -3*d. Let c(l) = -l**2 + l**3 - l + 0*l**2 + 18 - 2*l**3. Is c(d) a multiple of 18?
True
Does 37 divide ((-308)/(-12) + 2)*3?
False
Let n(q) = 2*q + 0 - q - 3*q - 3. Is 5 a factor of n(-4)?
True
Let j(g) = g**3 - 10*g**2 - 10*g - 9. Let l be j(11). Suppose -127 = -4*n - 3*x, -2*n + 142 = 2*n - l*x. Is n a multiple of 13?
False
Suppose -4 = -w, -h + 142 = -w - 46. Does 16 divide h?
True
Let c = -5 + 52. Is 16 a factor of c?
False
Let j = 5 + -4. Suppose 1 + j = h. Suppose h*s = 6*s - 40. Is 10 a factor of s?
True
Let o = 157 + -90. Let w = -25 + o. Does 14 divide w?
True
Suppose -4*u - 3*k = -28, -2*u + k = -u. Is u a multiple of 4?
True
Suppose -5*h = 20, -2*q - 2*h - 32 = q. Let d(x) = -x**3 - 6*x**2 + 12*x + 4. Is 9 a factor of d(q)?
True
Suppose -431 = -5*c + 409. Is c a multiple of 42?
True
Let w(i) = i**3 + 5*i**2 - 6*i - 2. Is 7 a factor of w(-5)?
True
Suppose -5*u - 27 = -d, 0*u - 2*d = 3*u + 11. Let t be -2*6 + 3 + -4. Let r = u - t. Does 5 divide r?
False
Let h = 15 - 13. Suppose 6 = -h*k, 0 = -2*c + k - 5*k + 112. Is c a multiple of 11?
False
Suppose 5*k + 4*x = -297, -197 = 3*k + 2*x - 20. Let q = k - -101. Is 22 a factor of q?
True
Let k(p) = -4*p - 16. Is 12 a factor of k(-7)?
True
Let k(v) = -4 - 2*v**3 - 4*v**2 + 5 - 3. Suppose 5*n = -0*m + 2*m - 14, -4*n = 4*m + 28. Is k(m) a multiple of 8?
True
Suppose -5*s - 3*o = -29, -4*s + 5*o + 5 = s. Suppose 466 - 154 = s*x. Suppose 3*r - 52 = 3*u + 2*u, -4*r - 2*u = -x. Is r a multiple of 6?
False
Suppose -2*h = -0*i - i - 108, i - 256 = -5*h. Is 13 a factor of h?
True
Suppose 2*d - 3*d + 9 = 0. Let u be (-30)/d*3/(-2). Let z(h) = h + 1. Is z(u) even?
True
Suppose -2*y = y - 3. Does 5 divide 19/5*(6 - y)?
False
Let r(l) = 3*l - 1. Let v(k) = k**3 - k**2 + k + 5. Let a be v(0). Suppose 4*d + 4 = 4*n, 14 = a*d + 4*n - 26. Does 11 divide r(d)?
True
Let l = -10 + 24. Does 7 divide (-220)/(-14) + 4/l?
False
Let f(g) = 4*g + 1. Let q be f(1). Suppose q = 2*a + 3*a. Is 5 a factor of (-15)/(-6)*(a - -1)?
True
Suppose 3*s - 4*p - 89 = 0, 5*p - 6 = -1. Let i = 14 + s. Is i a multiple of 9?
True
Suppose 0 = -5*x - 150 - 315. Let f = x + 154. Suppose -h + 21 = q, -2*q - q - 4*h = -f. Is 7 a factor of q?
False
Let h(r) be the third derivative of r**5/60 + r**4/3 - r**3/3 + r**2. Is h(-10) a multiple of 11?
False
Let s(j) be the third derivative of -j**6/120 - j**5/60 + j**4/24 + 16*j**3/3 + 2*j**2. Let k be s(0). Let d = 3 + k. Is 14 a factor of d?
False
Suppose 2*l - 72 - 62 = -d, 2*l - 554 = -4*d. Does 27 divide d?
False
Let p(f) = f**2 - 10*f + 11. Suppose 6*m - m - 5*s + 5 = 0, -s - 2 = 0. Let w be m/1 + (15 - 3). Is p(w) even?
True
Suppose -3*w = u + 33, -3*u - 5*w = u + 132. Let y = 82 + u. Is y a multiple of 17?
False
Suppose 0 = 2*n + 3*n + 5*s - 165, 5*s = -25. Let z be n/3 - (-8)/(-12). Suppose 2*m + z = 5*r, -2*r - 3 = -4*m + 5. Is r even?
True
Let z = 55 - 39. Let c = 30 - z. Is c a multiple of 7?
True
Suppose 4*i - 33 = -9. Let n be i/21 + (-19)/(-7). Suppose -99 = -n*u + 42. Is 16 a factor of u?
False
Suppose 3*d - 2*d = 2. Suppose -64 = -d*x - 0*x. Is x a multiple of 8?
True
Suppose m = -2*m + 6, -5*d + 239 = -3*m. Is 12 a factor of d?
False
Let q(o) = o**2 - 11*o. Let w = 22 - 9. Is q(w) a multiple of 20?
False
Suppose 3*w - 80 = 8*w. Is 0 - w - (1 + 3) a multiple of 4?
True
Let y = -33 - -108. Does 30 divide y?
False
Let n = -26 + 35. Is n a multiple of 3?
True
Let g(v) = -5 + 6*v - 2 - 2*v + v. Let c(m) = 14*m - 20. Let h(s) = -2*c(s) + 7*g(s). Is 15 a factor of h(6)?
False
Let z(t) = -t**2 + 7*t + 2. Let q be z(8). Let i = q + 12. Is i a multiple of 4?
False
Suppose -5*c + 183 = 2*d, -2*c - d + 66 = -2*d. Is c a multiple of 16?
False
Let z(j) = j - 7. Let l be z(7). Let f(y) = l*y + 1 + y + 8*y. Is f(1) a multiple of 10?
True
Let x(a) = a**3 + 2*a**2. Let j be x(-2). Suppose 2*s - 209 = -2*s + 3*b, j = 2*b - 10. Let r = 96 - s. Is r a multiple of 20?
True
Let l = 0 + -1. Let b(c) = 5*c**2. Does 4 divide b(l)?
False
Is ((-90)/(-7))/((54/84)/3) a multiple of 7?
False
Let j be -1*-2*13/2. Let n = j - 2. Is 6 a factor of n?
False
Let v(m) = 11*m**2 + 4*m - 7. Does 13 divide v(3)?
True
Let s(p) = 3*p**2 + 3*p - 19. Let b(i) = 2*i**2 + 2*i - 20. Let g(l) = -4*b(l) + 3*s(l). Let u(w) = w**2 - 3*w. Let h be u(3). Is 10 a factor of g(h)?
False
Let a(v) = 3*v**3 + 2*v**2 - 2. Suppose 5 = -0*x - x, 0 = -l - x - 3. Does 6 divide a(l)?
True
Let t = 19 - 9. Suppose -t*m + 8*m = -56. Is m a multiple of 14?
True
Let w(i) = 81*i + 11. Let b(t) = 54*t + 7. Let j(m) = -8*b(m) + 5*w(m). Is 8 a factor of j(-1)?
False
Let s(v) = -v**3 + 3*v**2 + 1. Let q be s(3). Is (q/((-2)/(-20)))/1 a multiple of 5?
True
Suppose 5*h = 556 - 131. Suppose z = -0*z + h. Is z a multiple of 30?
False
Suppose 0 = -9*q + 10*q - 9. Does 17 divide (372/q)/((-8)/(-12))?
False
Let x(b) = 2*b - 2. Let i be x(3). Suppose -3*s = -5*q - 15, 2*q + 11 