y be (-4)/(-14) + d/(-14). Suppose 5*b - y - 135 = 0. Does 17 divide b?
True
Let i = -4 - -121. Does 17 divide i?
False
Suppose -12*c = -16*c + 276. Is 4 a factor of c?
False
Suppose -2*l - 69 = -5*s, 39 = -2*s + 4*s + 3*l. Suppose -51 + s = -2*a. Does 9 divide a?
True
Does 8 divide 27/((2/1)/2)?
False
Let q(h) = 2*h**2 - 7 + 9*h + 0*h**2 - 3*h**2. Is q(6) a multiple of 5?
False
Let j(g) = -2*g**2 - 2*g + 143. Is j(0) a multiple of 14?
False
Let k(y) = 2*y**2 - 9*y - 2. Is k(8) a multiple of 27?
True
Suppose 4 = 3*j - j. Suppose -2*x + j*l = 3*x + 22, 0 = -4*x + l - 20. Is (-173)/(-7) - x/21 a multiple of 15?
False
Let i = 37 + 16. Is 15 a factor of i?
False
Let t be -1*(-10)/2 + 2. Suppose 2*x + 0*p = 5*p - t, 2*p - 49 = 5*x. Let a = x + 50. Is a a multiple of 20?
False
Let u(r) = -5*r - 4. Let x be u(-4). Is x*2/4 + -1 a multiple of 7?
True
Let w = -13 + 33. Let h be (-1)/2 - 1/(-2). Suppose -2*c + 2*p + 30 = 3*p, 5*p - w = h. Is c a multiple of 11?
False
Let o(m) = 91*m - 1. Let h be o(1). Suppose 0 = -t + h - 27. Does 21 divide t?
True
Suppose 1564 = 28*m - 4. Is m even?
True
Let h = 121 + -86. Is 7 a factor of h?
True
Let f(m) = 4*m**3 - m**2 + 10*m - 8. Let l be 0 + 0 - -7 - 0. Let o be f(l). Is (-4)/(-18) - o/(-45) a multiple of 14?
False
Let l(h) = 10*h**2 - 21*h**3 + 0*h**2 - 13*h + 22*h**3. Is 22 a factor of l(-11)?
True
Let b(c) = 3*c - 25. Let h be b(-19). Let j = h + 122. Is 8 a factor of j?
True
Let c(p) = 11*p**2 - 4*p - 4. Let q be c(4). Suppose 4*t - 2*d = q, t + 0*d - d - 39 = 0. Is 13 a factor of t?
True
Let d be 0*(-1 - 2*-1). Suppose -4*f - 20 = d, -q - f + 3 = 2. Does 3 divide q?
True
Let n(q) = -12*q. Let t be n(-3). Let a = -51 - -31. Let l = t + a. Does 8 divide l?
True
Let p = -4 + 5. Let l(u) = 22*u + 1. Let n(c) = 65*c + 3. Let q(k) = 7*l(k) - 2*n(k). Does 10 divide q(p)?
False
Let d = 187 + -130. Does 19 divide d?
True
Let g = -48 - -62. Is 7 a factor of g?
True
Let o = 71 - -145. Is o a multiple of 32?
False
Suppose 5*x - 28 = 67. Let q = x + 13. Is q a multiple of 16?
True
Suppose 4 + 8 = -4*k. Let y = k - 1. Is ((-22)/y)/((-5)/(-10)) a multiple of 11?
True
Is (-1184)/(-28) + 6/(-21) a multiple of 14?
True
Let m(z) = 8*z + 21. Is m(19) a multiple of 14?
False
Let g(c) = c**2 + c - 8. Is g(-7) a multiple of 17?
True
Let t(a) = 4*a**2 + 2*a + 1. Let m be t(-1). Suppose j - 12 = -b, m*j = 2*b - 0*j - 14. Does 6 divide b?
False
Let b(r) = -r**2 + 5*r + 5. Let w be b(6). Let k be ((-30)/9*3)/w. Is (-6)/10 - (-126)/k a multiple of 6?
True
Let m be (6/(-9))/(4/(-6)). Does 5 divide 38*(-2)/(-4) - m?
False
Let p(i) = 16*i**3 - i**2 - i + 1. Let n be p(1). Let u be 6/n + 26/10. Suppose -4*o + 15 = 3*m, -3*m - 31 + 4 = -u*o. Is 6 a factor of o?
True
Suppose 3 = -2*c + 2*l - 9, 18 = -3*c - l. Let k(g) = -g**2 - 9*g - 4. Is k(c) a multiple of 4?
False
Suppose -5*h + 3*o = -49 + 12, o + 4 = 0. Suppose 0 = h*q - 2*q - 45. Is q a multiple of 10?
False
Let y(r) = r**3 - 8*r**2 + 5*r + 9. Let j be y(7). Does 12 divide (-3 + j)*6/(-4)?
True
Suppose 4*v + h - 71 = -7, 0 = 2*v + 3*h - 42. Let i(w) = w**3 - 4*w**2 - w + 3. Let g be i(4). Let n = g + v. Is 8 a factor of n?
False
Let m = 15 - 15. Let n(j) = j**3 - j**2 + 7. Does 3 divide n(m)?
False
Let a = 104 - 4. Does 20 divide a?
True
Let h(k) = -3*k - 3. Suppose -q + 5*m = -2*q + 2, 1 = m. Let l be h(q). Let f = 18 - l. Does 6 divide f?
True
Let b = 1 + 1. Suppose -4*l - 9 = -5*d - 34, b*d - 23 = -5*l. Suppose -71 - 24 = -l*c + 4*u, -c = u - 28. Does 18 divide c?
False
Let r(f) = -16*f + 4. Let p be r(-2). Suppose -2*a + 6*a - p = 0. Does 9 divide a?
True
Let n = 6 + -3. Suppose k + 3*k = -4*f + 148, n*f + 4*k = 109. Does 10 divide f?
False
Suppose 5*z - 8 = 37. Suppose 2*k + z = 57. Is 4 a factor of k?
True
Is 7/((-7)/(-34)) - (-4 - -2) a multiple of 18?
True
Let a be (2 + 0 + -1)*24. Let v = -6 + a. Does 18 divide v?
True
Let k be (-116)/(-14) - 2/7. Let f be 4/k + 58/4. Suppose -2*a = -3 - f. Is a a multiple of 5?
False
Let p(v) = v**3 - 4*v**2 - 2*v + 2. Let b be p(4). Is ((-6)/(-4))/(b/(-152)) a multiple of 10?
False
Let n = 1 - -65. Is 12 a factor of n?
False
Suppose 2*b = -2*b + 124. Does 4 divide b?
False
Let n = -18 - -26. Let r be 4/((0 - 1) + 3). Suppose 4*y + 2*i = -i + 30, r*y + 5*i = n. Is 7 a factor of y?
False
Suppose -w = -4*f - 2*w + 6, 0 = -5*f + w + 3. Suppose 4*l + 2*m - 1 = f, 3*l - 29 = 4*m. Let q(s) = -s**3 + 3*s**2 + 3*s - 3. Is 6 a factor of q(l)?
True
Suppose 0 = -t - 0*t + 2. Suppose -t*z - z - 96 = 0. Let n = z - -58. Does 13 divide n?
True
Let l = 7 - -14. Let j = l - -7. Is 11 a factor of j?
False
Let f(b) be the first derivative of b**4/4 - 4*b**3/3 + b**2 + 2. Let k be f(2). Let g = 27 + k. Is 18 a factor of g?
False
Let h = 24 - 16. Suppose 14 = 2*x - h. Is x a multiple of 3?
False
Suppose 3*h + 27 = 6*h. Does 9 divide h?
True
Suppose 0 = -8*p + 272 + 112. Is p a multiple of 12?
True
Let j be ((-12)/15)/((-6)/15). Suppose v = j*v - 12. Does 4 divide v?
True
Let k(m) = -m + 14. Is 25 a factor of k(-11)?
True
Let d = -14 - -19. Is d a multiple of 5?
True
Suppose 0*k - k = 4. Let c = 7 + k. Is c a multiple of 3?
True
Let k = 3 - 3. Suppose 36 = 5*m + 4*d, -3*d = -m - k*d + 11. Suppose 5*f = -y + 45, -2*f - 2*y + m = -2. Does 10 divide f?
True
Let u = 179 + -79. Does 6 divide u?
False
Suppose -2*f - f + 261 = -2*l, -2*f = -3*l - 179. Does 8 divide f?
False
Let b = -4 - -14. Suppose 3*m - b = 8. Does 10 divide (-4 + 1)*(-40)/m?
True
Let r = -3 + 6. Is (-64)/(-24)*r/2 even?
True
Let r = -3 - -1. Let o be (0 - 1)/(r/(-34)). Let k = o + 39. Does 11 divide k?
True
Let m(q) = 2*q - 1. Let v be m(4). Let c(n) = 2*n + 1. Is 9 a factor of c(v)?
False
Suppose 0 = 5*g - 3*q - 360, 5*g - 200 = 2*g + 5*q. Suppose -w = w + 5*m - g, 0 = -5*w + 3*m + 203. Is w a multiple of 8?
True
Let f = 167 - 63. Is 24 a factor of f?
False
Suppose -3*d - 4*a + 124 = d, 2*d + 5*a = 53. Let h = d - -39. Does 15 divide h?
False
Let c = -41 - -73. Suppose h + h + 12 = 5*f, 0 = -4*f - 4*h + c. Is 2 a factor of f?
True
Suppose -3*t + 5*p + 27 = t, -t - 3 = 2*p. Suppose 0 = 3*y - t*a + a - 45, 2*a - 74 = -4*y. Is 12 a factor of y?
False
Is (-2 - 1630/(-15)) + (-2)/3 a multiple of 12?
False
Let i = 252 - 49. Is i a multiple of 21?
False
Suppose -2*b - 2*b + 812 = 4*z, 2*b + 4*z - 412 = 0. Is 20 a factor of b?
True
Suppose 0*p - 107 = -5*d + 3*p, -67 = -3*d - p. Is 5 a factor of d?
False
Let c be (-1)/(3/9) - -29. Is 17 a factor of 4*c*(-9)/(-12)?
False
Let z = -8 + 4. Let h be z - -53 - (0 - -2). Let a = h + -25. Does 6 divide a?
False
Let g = 0 - -39. Suppose -3*b + u = -3*u - 66, 5*u = -3*b + g. Is b a multiple of 10?
False
Let r = -19 - -13. Suppose 0*l + l - 11 = 0. Let m = r + l. Is 5 a factor of m?
True
Is -4*(-105)/80*4 a multiple of 7?
True
Let r = 5 + -3. Suppose d = -r*d + 6. Suppose 2*m - 56 = 4*l, 2*l + 0 = d*m - 52. Does 12 divide m?
True
Let b(t) = -t**2 + 11*t - 13. Let d be b(9). Is 4 a factor of (-3 + d)*1 + 7?
False
Suppose 0 = 14*i - 10*i - 164. Is 10 a factor of i?
False
Let n = 90 + -54. Does 12 divide n?
True
Is 9 a factor of ((-2)/(-6))/((-1)/(-135))?
True
Let n = 61 + -23. Is 10 a factor of n?
False
Suppose -2*p + p = -s, -4*p = -3*s. Is s/2 + -5 + 21 a multiple of 16?
True
Suppose -5*a - 5*k + 15 = 0, -4*k = -4*a + 3*a + 3. Suppose -j - j + 69 = -a*d, d = j - 35. Is j a multiple of 12?
True
Is (3 + (-10)/4)*90 a multiple of 24?
False
Let p(b) = b - 3. Is p(5) a multiple of 2?
True
Let f = 12 + -15. Let n = -1 - f. Is n even?
True
Let m be 28/12 + 2/(-6). Suppose 3*a - 18 = h + m*h, a - 18 = 4*h. Does 3 divide (2 - (a + -1)) + 6?
False
Let i = 124 - 191. Let b = i + 114. Is 30 a factor of b?
False
Let w(n) = -n**3 - 10*n**2 + 11*n + 4. Is 4 a factor of w(-11)?
True
Suppose -4*s + 10 = 2. Suppose 4*j + 13 = 4*y + 5, 0 = -s*j + 3*y - 8. Suppose j + 11 = -v + 5*p, 4*p = -2*v + 44. Is v a multiple of 6?
True
Let m(b) be the first derivative of b**4/4 - 2*b**3 + 2*b**2 - b - 3. Does 23 divide m(6)?
True
Is 4/6 - 704/(-24) a multiple of 10?
True
Let c be (-20)/1*24/(-15). Suppose 0 = 2*s - d - 2*d + 22, c = -4*s + 3*d. Is (-5 + s)*-1*1 a multiple of 8?
False
Let z = 57 + -23. Is z a multiple of 34?
True
Suppose -w = -116 + 27. Let h = w - 53. Suppose 5*c - h = 3*c + 