e
Does 31 divide 175 + 2 - (1 - -3)?
False
Let g = -11 - -39. Suppose -g = -4*c + l + 50, 10 = -5*l. Suppose -z + c + 6 = 0. Is 10 a factor of z?
False
Let c = 11 - -3. Suppose 0 = 2*s - 7*s + 15. Is 3*c/9*s a multiple of 13?
False
Suppose w = 6*w - 80. Is w a multiple of 4?
True
Suppose 4*g - 3*g - 73 = 0. Let s = g - -38. Is 16 a factor of s?
False
Let d be (2/3)/((-2)/(-12)). Let g = d + 32. Is (6 - -1)*g/21 a multiple of 6?
True
Let p = -2 + 38. Let n = -10 + p. Is n a multiple of 10?
False
Let i(f) = f**3 - 5*f**2 + 3*f - 10. Let m(l) = -l**3 - l**2 - l. Let x(a) = -i(a) - 2*m(a). Let n be x(-7). Let r = -6 + n. Does 11 divide r?
True
Suppose 1 = -4*x + 25. Suppose -x*l + l = -20. Suppose -5*w = -3*d + 61, 2*d - l*w + 3*w = 43. Is d a multiple of 9?
False
Suppose 2*n = -0*n + 10, 2*g + 1 = n. Suppose 0 = 2*m + m - g*h + 46, -3*h = 5*m + 83. Let x = m + 23. Does 2 divide x?
False
Suppose 9*k = 5*k - 72. Let n = 53 + k. Is 10 a factor of n?
False
Suppose 0 = 3*p - 5*p + 28. Let l = 22 - p. Suppose -4*g = -48 - l. Does 14 divide g?
True
Let a(i) = i**2 - 9*i + 1. Let m be a(9). Suppose 3*o - 20 = -8. Suppose o*f = -s + 8, 4*f = -3*s - m + 65. Is s a multiple of 18?
False
Let u be (10/4)/((-1)/2). Let o = u - -41. Is o a multiple of 18?
True
Let z(f) = -f**3 - 4. Let y be z(0). Let r(o) = o**3 + 4*o**2 - 6*o - 2. Is r(y) a multiple of 11?
True
Let r(p) = p**2 + 2*p + 78. Is r(0) a multiple of 26?
True
Suppose 0 = -k + 3*k - 96. Is 16 a factor of k?
True
Is 11 a factor of ((-11)/4)/((-1)/(-4))*-1?
True
Let p = 18 - -83. Suppose p = f - 38. Suppose -4*i + 5*m = -101, 4*i = -i + 2*m + f. Is i a multiple of 12?
False
Suppose -p - 620 = -5*k - 0*k, -4*k - 2*p = -482. Suppose 7*a - 4*a = k. Is a a multiple of 12?
False
Let q(d) = d + 4. Let r be q(3). Let u(c) = c**3 - 8*c**2 + 10*c - 7. Let l be u(r). Suppose -3*i = a - 18 - l, 4*i = 5*a + 49. Does 9 divide i?
False
Let c(v) = v**2 - 6*v + 6. Let a(x) = x**2 - 2*x - 4. Let g be a(4). Let d be c(g). Is 4 + (-9)/6*d a multiple of 3?
False
Let p(m) = -2*m**2 + 2*m + 0 - 1 + 29*m**2 - 2*m**2. Does 21 divide p(1)?
False
Suppose d = 3*d - 5*y, 0 = -y. Suppose 3*h - 84 = -d*h. Is h a multiple of 7?
True
Does 5 divide 24*(2 + 10/(-8))?
False
Let w be 3 - (0 - 1)*-1. Suppose b - 6 = 2*d + 2, 2*d + 2 = -w*b. Let x(n) = 2*n**3 + 3*n**2 - 2*n + 3. Is 21 a factor of x(b)?
False
Let i(u) = -2*u**2 + 3. Let x be i(3). Let y = 85 - 121. Let a = x - y. Is a a multiple of 21?
True
Let b(u) = 2*u**2 + 2*u - 4. Let c(o) = -o**2 + 5*o + 4. Let d be c(5). Is 18 a factor of b(d)?
True
Let n = 6 + -4. Suppose 3 = w - z, -3*z - 13 = n*w - 3*w. Is w/9 - 364/(-18) a multiple of 10?
True
Let y be 0/(1 - 1 - -1). Let l(b) = -b + 5. Is l(y) a multiple of 3?
False
Suppose -2*d + 1 = -3. Let o be ((d - -3) + 1)*-4. Is 8 a factor of (o/10)/(6/(-20))?
True
Let w(k) = -3*k - 1 + 3*k - 5*k + 4*k. Is 4 a factor of w(-7)?
False
Suppose 5*t = 5 - 0. Let r be (t/3)/((-6)/(-72)). Suppose p - 2 = 4*q - q, r*p - 2*q - 38 = 0. Is p a multiple of 5?
False
Let m be -3 + 0 + -1 + 8. Suppose -m*k = -2*x + 18, 5*x = -2*k - 2*k + 45. Is 9 a factor of x?
True
Let o(g) = 11*g**3 - 2*g**2 - g + 2. Is 16 a factor of o(2)?
True
Let a(k) = -k**3 + 12*k**2 - 3*k + 17. Let t be a(12). Does 8 divide (t + 1 + 2)/(-2)?
True
Suppose 5*v + 56 - 380 = 3*a, 2*a - 4*v + 214 = 0. Let c = a + 161. Does 24 divide c?
True
Let u(l) be the first derivative of 7*l**2/2 - l - 1. Let k be ((-5)/(-3))/(8/24). Is 13 a factor of u(k)?
False
Let s be 0/(2 + 1) - -14. Is s - (3/(-1) + 1) a multiple of 11?
False
Is 30 a factor of (-208)/65*(21/(-2) + -2)?
False
Let y be (-2)/(-1) - (-2 + 0). Suppose -16 = y*a - 8*a. Suppose 5 - 29 = -a*c. Does 6 divide c?
True
Suppose 0 = -4*d + 3*f + 308, 2*f - 214 = -2*d - d. Does 11 divide d?
False
Let f(l) = -13*l + 2. Is 19 a factor of f(-3)?
False
Let u = -31 - -22. Let s(m) = -m + 7. Is s(u) a multiple of 9?
False
Let l(d) = 2*d - 6. Let h be l(4). Let z(p) = 22*p + 4. Is 8 a factor of z(h)?
True
Let f = -27 - -41. Is f a multiple of 12?
False
Suppose 3*m + 0*m + 5*g - 262 = 0, 0 = -2*g - 8. Is m a multiple of 11?
False
Let c = -39 + 79. Is 5 a factor of c?
True
Suppose 6*s - 1060 = 2*s. Is 18 a factor of s?
False
Let p(i) = i**2 - 2*i - 5. Let v be p(-5). Let q = 65 + v. Is q a multiple of 25?
False
Let y be (-144)/(-40) - (-2)/5. Suppose -w = -18 - 16. Suppose 10 = -y*x + w. Does 4 divide x?
False
Let v(g) = 36*g + 1. Let h be 1/2 - (-77)/14. Let r be (-2 + 0)/(-8 + h). Is v(r) a multiple of 14?
False
Let k(m) = -2*m**3 - 4*m**2 - 5*m + 7. Is 4 a factor of k(-3)?
True
Let z be 15/12 - (-2)/(-8). Suppose 0 = -o + 5 - z. Suppose -o*j + j + 15 = 0. Is 5 a factor of j?
True
Suppose 0 = -4*d + 1 + 7. Suppose -310 = -d*x - 3*x. Let a = x - 43. Does 10 divide a?
False
Suppose 3*m + 21 = -j + 2*j, 5*m = 0. Does 21 divide j?
True
Suppose 2*q - 3*h = 16, -3*h - 26 = -5*q + q. Suppose 29 + 1 = -z - q*o, -31 = z + 4*o. Let d = -4 - z. Does 8 divide d?
False
Let m(i) = -i**3 + 3*i**2 + 2*i - 1. Let f be m(3). Suppose -f*q - 9 - 16 = 0, 4*k - 47 = -5*q. Is 11 a factor of k?
False
Let s = 277 - 167. Is s a multiple of 22?
True
Suppose -10 = 5*c - 45. Suppose 4*g - 5*y = 77, c*y - 13 = -g + 2*y. Is 9 a factor of g?
True
Suppose 136 = 5*y - 139. Is 34 a factor of y?
False
Let j(d) = -d**3 + 8*d**2 + 6. Does 26 divide j(7)?
False
Let u(l) = 4*l**3 - l**2 - 2*l - 1. Let c be u(-1). Let r = 0 - c. Does 14 divide ((-17)/r)/(5/(-40))?
False
Suppose -2*c = -3*c + 27. Is c a multiple of 6?
False
Let d(w) = 4*w**2 + 9*w + 7. Let j(f) = 11*f**2 + 26*f + 21. Let h(i) = 17*d(i) - 6*j(i). Is h(-5) a multiple of 29?
True
Let q = -460 - -658. Is q a multiple of 42?
False
Let z = 11 - 2. Suppose 15 = 3*k - z. Is 4 a factor of k?
True
Suppose 0*y = y + 4*i, -5*y - i + 95 = 0. Does 10 divide y/((-6)/9*-3)?
True
Let p = 553 + -113. Is 55 a factor of p?
True
Let h(m) = -m**2 + 9*m - 4. Let g be h(8). Let r(c) = 2*c + 3. Let b be r(g). Is (-3 + b)*(-2)/(-4) a multiple of 4?
True
Let t = 149 - 94. Is t a multiple of 7?
False
Let i(d) = -d**2 - 7*d. Let t be i(-5). Is (6/t)/((-5)/(-25)) a multiple of 2?
False
Let k(g) = 6*g + 1. Let h(i) = i. Let p(f) = -5*h(f) + k(f). Let v be p(3). Suppose -3*x - m + 93 = 0, v*x + 5*m = 35 + 78. Does 16 divide x?
True
Suppose -3*w = -w - 4*g - 58, 4*g + 16 = 0. Suppose -o + 9 = -w. Is 15 a factor of o?
True
Let t(i) be the first derivative of 9*i**4/4 - 2*i**3/3 + i**2/2 - 38. Let v = -2 - -3. Is 6 a factor of t(v)?
False
Suppose -5*f = r - 50, 0 = 3*f + f + 5*r - 40. Is f a multiple of 3?
False
Let w = -3 + 22. Let v = w - 8. Does 7 divide v?
False
Let l(h) = h - 4. Let m be l(4). Does 10 divide ((-6)/(-2) - m) + 27?
True
Suppose -5*w - 230 = -5*z - 4*w, -w + 92 = 2*z. Is 19 a factor of z?
False
Suppose 3*q - d = 290, -3*d + d + 196 = 2*q. Suppose -2*x - 3*j + 2*j = -43, -5*j - q = -3*x. Suppose -2*o + 2 = -x. Does 7 divide o?
False
Let a be 9/(2/(2 + 14)). Suppose -6 = -2*z, 0 = 3*v - 2*z - a + 12. Suppose -3*o - v = -5*o. Does 4 divide o?
False
Let p(c) = -13*c**3 - 2*c. Is p(-2) a multiple of 18?
True
Let m(z) = 6*z**2 - 2*z - 1. Let h be m(-1). Suppose 5*w + 27 = -k + 2*k, -4*k - h = 3*w. Suppose x = -k*x + 42. Is x a multiple of 5?
False
Let q = -3 + -6. Let u = q - -27. Is 9 a factor of u?
True
Suppose -5*j - 13 = 7, -2*j + 412 = 5*h. Does 24 divide (5/2)/(3/h)?
False
Suppose -w + 4*y + 81 = 0, 2*w - 3*y - 8 = 149. Is w a multiple of 17?
False
Let g = 6 - 3. Suppose -j - 5*f + 13 = 3, -g*f = -12. Is 2 a factor of (j/(-6))/(1/3)?
False
Suppose -22 = -2*d - 2*y, 3*y - y = -3*d + 28. Let u(h) = h**2 + 3*h - 6. Is u(d) a multiple of 16?
True
Let g = -6 + 11. Suppose -g - 20 = -5*q. Does 5 divide q?
True
Suppose z - 2*z + 11 = 0. Let p = z - 7. Suppose -2 = -5*a + j + 4, -p*j = -4*a - 8. Is a even?
True
Suppose -7*i + 4*i + 72 = 0. Does 8 divide i?
True
Let w = 99 + -55. Is 22 a factor of w?
True
Let z be 5*((-3)/5)/(-3). Let i(g) = 7*g**2 + g. Is 8 a factor of i(z)?
True
Suppose -3*h = -4*h + f + 37, 2 = 2*f. Does 4 divide h?
False
Suppose -4*j + 366 = 3*z, 3*z = -7*j + 4*j + 363. Is z a multiple of 10?
False
Suppose -2*i - 5*z + 233 = 0, -i = 2*z - 5*z - 133. Let d = i + -68. Is d a multiple of 12?
False
Suppose -2*i + 0 = -4. L