
Let l(n) = n**2 + n - 14. Does 2 divide l(-6)?
True
Does 15 divide -7*(5 - 2)*(-4 - 1)?
True
Suppose 5*b = -4*u - 127, -2*b + 2*u + u - 60 = 0. Let l = -40 + b. Let n = -38 - l. Does 13 divide n?
False
Suppose -2*j - 3*j = -730. Is 23 a factor of j?
False
Let y = 88 + 74. Does 18 divide y?
True
Let d = 6 - 4. Let r be (183 - d/2) + -2. Suppose 0 = 8*n - 3*n - r. Is n a multiple of 18?
True
Let r(v) = 4*v**2 + 12*v**3 + 2*v + 0*v - 2 - 11*v**3 + v**2. Is 3 a factor of r(-4)?
True
Let i = -115 - -267. Is 19 a factor of i?
True
Suppose 3*u - 5*u - 5*s + 87 = 0, 4*s = 12. Is u a multiple of 18?
True
Let k(j) = j**3 - 7*j**2 + 7*j - 8. Let q be k(6). Let z(p) = 3*p**2 - 4*p - 3. Is 6 a factor of z(q)?
False
Let v be 2/(-6)*-5*3. Suppose v*d = 2*d + 66. Does 20 divide d?
False
Suppose 4*b + 5*q = -13, 4*q + 6 = -4*b + 6*q. Let p be (b + 7)*(-2)/(-5). Suppose p*l = 32 + 30. Is 16 a factor of l?
False
Suppose -4*o + 28 - 12 = 0. Suppose 0*i - 28 = -4*m - o*i, -3*m + 37 = -5*i. Is 2 a factor of m?
False
Suppose s = -v + 1 + 1, -4*s + 33 = -v. Suppose 31 = j - s. Does 19 divide j?
True
Let f(l) be the second derivative of l**4/3 - l**3/3 + l**2/2 - 2*l. Suppose -4*i - 3*a = 11, i + 2*i - a - 8 = 0. Is 2 a factor of f(i)?
False
Let y(j) = -j + 60. Suppose -5*r + r = 0. Is 10 a factor of y(r)?
True
Let d be ((-3)/(-5) + -1)*-5. Suppose -51 = t - d*t. Is 23 a factor of t?
False
Suppose 100 = 2*v + 2*v. Does 25 divide v?
True
Let d(l) = -l**3 - l**2 + 2*l + 30. Does 10 divide d(0)?
True
Suppose 0*i - 2*i + 217 = -3*u, 4*i - 427 = -u. Suppose 12 = -3*t + 6*t. Suppose 2*v + 3*d = 52, 6*v = v + t*d + i. Does 12 divide v?
False
Let u(d) = 13*d**2 + d - 1. Suppose -3 = 5*x + 4*j, 4*x = -4*j + 2 - 6. Is u(x) a multiple of 4?
False
Does 15 divide (-2871)/(-22) + 6/(-4)?
False
Let n = -10 + 14. Suppose -n*p + 49 + 27 = 0. Is p a multiple of 16?
False
Let i(q) = -q + 65. Let u be i(0). Suppose 2*g - 27 = -5*j + u, -2*j = -3*g + 100. Is g a multiple of 18?
True
Suppose -3*j + 0*j = 0. Suppose 3*f + 2*q = 83, 2*f + q - 37 - 19 = j. Let h = f + -17. Is 12 a factor of h?
True
Let t = 2 - 2. Let k be (-230)/(-70) + (-4)/14. Suppose -2*b - k*b + 145 = t. Is b a multiple of 8?
False
Suppose 7*b + 69 = 4*b. Let o = b + 72. Does 16 divide 3/6 - o/(-2)?
False
Let o(u) = u**2 - 2*u - 1. Let g be o(3). Suppose -4*v - 136 = -2*k, g*k + 312 = 7*k - 3*v. Is k a multiple of 12?
True
Let g(z) = z**2 + 14*z + 6. Is 8 a factor of g(-16)?
False
Suppose -d = 5*g - 15, g + 5*d + 33 = 3*g. Suppose 3*k - 3*u + 702 = 0, -g*k + 8*u - 939 = 3*u. Does 19 divide (-2)/4 + k/(-6)?
True
Suppose 0 = 4*y + 7*z - 2*z + 10, -3*y = 4*z + 8. Suppose -4*k + k + 15 = y. Suppose 5*t = k*x + 100, -3*t = -2*t - 4*x - 35. Does 4 divide t?
False
Suppose 6*p - 130 = p. Let n = p + -2. Does 12 divide n?
True
Suppose -5*o + 36 = 2*u - 83, 0 = 4*u - 4*o - 168. Does 30 divide u?
False
Suppose -2*q + 24 = -12. Let t = 31 - q. Does 13 divide t?
True
Let p = -1 - -2. Let r be -2*(p - (-14)/(-4)). Suppose -r*i + 47 = 4*k, -4*i + 5*k + 6 = -i. Does 5 divide i?
False
Suppose 4*c = 12*c - 384. Is c even?
True
Let u(s) = s**3 - 7*s**2 + 4*s + 8. Does 18 divide u(7)?
True
Suppose 12 = n + 35. Let m = 12 + n. Does 9 divide 2/m - 404/(-44)?
True
Let s(m) = m**3 + 12*m**2 - 12*m + 13. Let t be s(-13). Suppose -f - 3*f + 16 = t. Does 4 divide f?
True
Let y(r) = -1. Let s(j) = j**2 - 5*j + 2. Suppose 4*o - 1 - 19 = 0, x - 6 = -o. Let c(l) = x*s(l) + 6*y(l). Is c(7) a multiple of 6?
False
Let p(y) = -y**3 + y**2 + 2*y + 119. Is p(0) a multiple of 11?
False
Let b(v) = -29*v + 1. Let n be b(1). Let i be 7/21 + n/(-6). Suppose -3*f - 3*t + 42 = t, 5*f - 70 = -i*t. Is f a multiple of 14?
True
Let d be (-3 - (-10)/4)*0. Suppose 0 = 5*u - 25, d = 3*j - j - 5*u - 23. Is j a multiple of 12?
True
Suppose -2*t - 110 = -2*c, c + t = -3*t + 40. Is c a multiple of 26?
True
Let c be -1 + (4/(-4) - -3). Suppose 5*d - 8 = -a, -c - 19 = 4*d. Is a a multiple of 11?
True
Let s(l) = l**2 - l + 1. Let q(w) = 3*w + w**2 + 0 - 1 + 0. Let t be q(-2). Is s(t) a multiple of 13?
True
Let c(g) be the third derivative of -11*g**5/120 - g**4/24 - g**3/6 - g**2. Let y(u) be the first derivative of c(u). Is 10 a factor of y(-1)?
True
Let p(s) = s**2 + 2*s + 123. Does 41 divide p(0)?
True
Suppose 0*a + 4*v = -2*a + 240, 2*v - 340 = -3*a. Is 23 a factor of a?
False
Let m(r) = -r**2 - 8*r - 4. Let p = -19 + 12. Let q be m(p). Suppose -165 = -5*b - 5*t, 2*b = 3*b + q*t - 39. Is b a multiple of 15?
True
Let q(k) = k**2 - 3*k - 1. Let v = 6 - 11. Is 11 a factor of q(v)?
False
Let m(q) = q**2 - q - 2. Let a(f) = 5*f**3 + f. Let x be a(-1). Does 12 divide m(x)?
False
Let q = 31 - -63. Is 58 a factor of q?
False
Let c(p) = 27*p**3 - p**2 + p. Let t be c(1). Suppose -5*o = 3*i - 16 - t, -51 = -5*o - i. Does 11 divide o?
True
Let i = -19 - -45. Does 6 divide i?
False
Suppose 0 = v + 3*g + 9 - 1, 4*g + 8 = -4*v. Suppose 0 = t + s + 4, -3*s = -2*t + 2*s - v. Let c = 13 - t. Is 14 a factor of c?
False
Let q be -2 - 9/1*-9. Suppose -2*d + q + 29 = 0. Does 18 divide d?
True
Suppose p - 192 = 5*w, -351 - 381 = -4*p + 2*w. Suppose 3*r = -4*z + p, -54 = -z - r - 8. Does 18 divide z?
False
Let q(y) = -3*y - 6. Let m be q(-5). Suppose 4*o + 0 = 4. Let d = o + m. Is 10 a factor of d?
True
Suppose -2*c = -c + 2. Let z = -8 - c. Does 18 divide ((-4)/z)/((-6)/(-441))?
False
Let c(h) = h**3 - 2*h**2 + 3*h. Let w be c(4). Suppose -4*y + 233 = -d + 4*d, 5*d = -3*y + 370. Let a = d - w. Is 17 a factor of a?
False
Suppose 5*c = 2*c. Let l be (-3 - -2)*1*-3. Suppose c = l*y + y - 64. Is y a multiple of 8?
True
Suppose 4*t + t + 2*i = 467, 4*t - 371 = i. Does 31 divide t?
True
Suppose -6*i = -4*i - 74. Suppose 3*m - i = 23. Is m a multiple of 18?
False
Suppose 5*q - 2*x = -1, -15 = 5*q + 4*x - 2. Is (45/6)/(q/(-4)) a multiple of 19?
False
Let v(d) = -3 + 6 + 2 + 5*d + d**2. Suppose -6 = 4*s + 18. Is v(s) a multiple of 9?
False
Suppose 0 = 5*a + 3*g + 221, -2*g + 182 = -4*a - 7*g. Let r(w) = 79*w**3 + 2*w**2 - w. Let j be r(1). Let z = a + j. Does 10 divide z?
False
Suppose -x = v - 6*x, -5*v = 3*x. Let t(n) = -n - 7. Let s(b) = 6*b + 35. Let j(u) = -2*s(u) - 11*t(u). Does 5 divide j(v)?
False
Let t(b) = b + 4. Let c be t(-7). Let w(g) = -g**3 - 2*g**2 - 3*g + 3. Is 6 a factor of w(c)?
False
Suppose -4*w = -6*w + 6. Suppose -40 = -w*h + 68. Is h a multiple of 12?
True
Suppose -4*o = -4*w - 44, -17 = -6*o + 2*o - 5*w. Is o a multiple of 3?
False
Suppose 0 - 21 = -v. Does 7 divide v?
True
Suppose 4*d = -0*y - y - 124, 5*d = -y - 125. Let g = -72 - y. Is 17 a factor of g?
False
Let h(u) = u**2 + 2*u - 3. Is 12 a factor of h(7)?
True
Let i(s) = s**3 - 5*s**2 - 3*s + 1. Let h be i(4). Let z = -6 - h. Does 7 divide z?
True
Let p = -40 + 60. Let z = -14 + p. Is 3 a factor of z?
True
Let v(t) = -t**2 - 19*t - 10. Does 20 divide v(-9)?
True
Let j = 39 + 38. Is j a multiple of 23?
False
Let r(h) = h**3 + 4*h**2 - 5*h + 2. Let g be r(-5). Is 30 a factor of g - 2*(-1 + -43)?
True
Suppose -4*z = -0*z - 5*t - 45, 0 = 2*z + 2*t. Suppose 28 = 3*o - z*n, -6*o + 2*n = -o - 34. Does 3 divide o?
True
Let t(g) = g - 5. Let r be t(4). Let u be (-24)/(-9) + r/(-3). Suppose -u*i + 17 = -22. Is 9 a factor of i?
False
Let v = 32 + -24. Is v a multiple of 8?
True
Let d(p) be the first derivative of p**4/4 - 2*p**3/3 + 3*p**2/2 - p + 2. Let w(i) = -i**3 - 8*i**2 - 7*i + 2. Let h be w(-7). Does 2 divide d(h)?
False
Let h be (-2)/5 - 10/(-25). Suppose k = 3*p + p + 88, p + 3 = h. Does 20 divide k?
False
Is 354/16 - ((-9)/(-8))/9 even?
True
Suppose 5*p = 2*p + 213. Is p a multiple of 12?
False
Let r = -7 - -23. Is 16 a factor of r?
True
Let l = 15 - 10. Suppose 0*z + 120 = l*z. Let i = z - 5. Does 11 divide i?
False
Suppose 5*m = 3*j - 151, -2*m = 3*j - 6*m - 146. Is 7 a factor of j?
True
Suppose -8*p + 104 = -4*p. Does 26 divide p?
True
Let n(c) = c**3 - 14*c**2 + 16*c - 9. Does 10 divide n(13)?
True
Let a(n) = n**3 - n**2 + 4. Let d be a(0). Let g be 2*(1 - d - -2). Does 12 divide (-1)/g*(-96)/(-2)?
True
Suppose -6 = -i + 3*i. Let p(h) = -h**3 - 2*h**2 + 3*h + 4. Let r be p(i). Suppose r*j - 18 = j. Does 6 divide j?
True
Let w(d) be the first derivative of d**3 - d**2 - 2*d - 1. Suppose -3*k - 21 = -5*b + 1, 4 = -4*