4?
True
Suppose -12 = 7*t + 9. Let z(i) = -1 + 3 + i - 36*i - 14*i. Does 41 divide z(t)?
False
Let r(c) = -5*c**3 + 8*c**2 - 7*c + 4. Let n(d) = -6*d**3 + 8*d**2 - 6*d + 6. Let b(u) = -4*n(u) + 5*r(u). Is 10 a factor of b(5)?
False
Suppose -72 = -m - 53. Let y = m - -143. Is 18 a factor of y?
True
Let u = 25356 + 22389. Is u a multiple of 77?
False
Let y(w) = 108*w - 125*w - 4*w**2 + 5*w**2 + 33. Let v be y(15). Suppose 5*n + 123 = 3*z, -z + 117 = 2*z - v*n. Is z a multiple of 9?
True
Let b be -1 - (5/(-1) + 283*-2). Let x = -326 + b. Is 4 a factor of x?
True
Let a(k) = k**2 - 15*k - 11. Let d be a(10). Let n = 83 - d. Does 12 divide n?
True
Suppose 3*s - 339 = -4*j - 1948, 5*j + 3*s = -2015. Let f = -221 - j. Is 37 a factor of f?
True
Let i(w) = w**3 + 7*w**2 - 7*w + 11. Suppose 36 = -4*v - 4*q, 2*v + 17 = 4*q - 5*q. Let s be i(v). Suppose -s*u - 5 = -143. Is 10 a factor of u?
False
Suppose -i = -3*i - 8. Suppose 186*v - 192*v = -6. Does 5 divide 8/i - (-16 - (v + 0))?
True
Let z(a) = 5*a**3 - 7*a**2 - 24*a + 179. Does 9 divide z(10)?
True
Suppose -4*f = 2*f + 12. Does 11 divide (-8)/((-64)/8104) - f?
False
Let n be ((-102)/(-12)*-4)/(-2). Suppose 2*r + n*l - 1024 = 13*l, r = 3*l + 497. Is 11 a factor of r?
True
Suppose 8*f - 11263 = 24126 - 8989. Is 15 a factor of f?
True
Suppose 0 = f - 18 - 18. Let l = -25 + f. Suppose k - l = 74. Is k a multiple of 17?
True
Let a = -4586 + 13546. Is a a multiple of 19?
False
Suppose 173*s - 177*s + 4186 = l, -s = 2*l - 1050. Is s a multiple of 14?
False
Suppose 74899 = 14*b - 14869. Does 58 divide b?
False
Suppose -3*j + 1848 - 781 = 2*d, 2*j - 1064 = -2*d. Let g be d/(-4) + (-33)/(-132). Let m = g + 184. Is 13 a factor of m?
True
Let n = 56599 + -33380. Is n a multiple of 217?
True
Suppose 3046 + 3394 = 23*m. Suppose 3*g - 8*g = -3*r + m, -2*r - 5*g = -170. Is r a multiple of 6?
True
Suppose -36*u + 12*u = 16*u - 521560. Is u a multiple of 59?
True
Suppose 3*y - 9 = 0, 5*q + 7*y = 2*y - 5. Let s(o) = -o**3 + 2*o**2 + 3*o - 8. Let a be s(q). Suppose -a = 17*g - 21*g. Is 3 a factor of g?
False
Let w(n) = -13*n + 66. Let q(z) = 27*z - 132. Let m(y) = 4*q(y) + 9*w(y). Is 12 a factor of m(-18)?
True
Let q(b) be the first derivative of 75*b**2/2 - 6*b + 32. Is 9 a factor of q(1)?
False
Let d(i) = -i**3 + 3*i**2 + i - 7. Suppose -3*x - 5 = -14. Let w be d(x). Let n = 18 + w. Is n a multiple of 7?
True
Let a(s) = -s**3 + 6*s**2 - 2*s - 6. Let v be a(6). Does 11 divide (-4)/3 - (-4344)/v*-1?
False
Suppose 5*g - 3 = -48. Let z(h) = -10*h - 37. Let b(t) = 21*t + 74. Let v(d) = 3*b(d) + 7*z(d). Is 4 a factor of v(g)?
False
Suppose -188 = -5*a - 178. Suppose -u = q - a - 3, -4*q + 4 = 0. Suppose 3*n + y - 354 = -n, -2*n + 184 = u*y. Is n a multiple of 7?
False
Suppose -a - 5*j + 1075 = 0, -5375 = -5*a - 13*j + 11*j. Suppose r - 215 = -3*n, -5*r + 3*n + a = 7*n. Does 6 divide r?
False
Suppose -51*i = 3*l - 53*i - 9375, 2*i = 6. Is l a multiple of 53?
True
Let y = -1164 - -7503. Is 64 a factor of y?
False
Suppose -40 = -7*u - 3*u. Suppose u*a = -4, -3*t + 2*a = -2*a + 11. Is 13 a factor of (-2 - t*8) + (2 - 1)?
True
Let w = -9184 - -10584. Is w a multiple of 35?
True
Suppose 568 = -32*y + 36*y. Let a = y - 90. Is 8 a factor of a?
False
Suppose 5677 = 49*x - 48811. Does 8 divide x?
True
Let i(o) = -12*o - 33. Let h be i(-10). Suppose 5*x - 24 = y + h, 0 = -2*y - 2. Does 2 divide x?
True
Let s(b) be the second derivative of -b**5/20 + b**4/6 - b**3/3 + 166*b**2 - 65*b - 1. Is 15 a factor of s(0)?
False
Let p(n) = -3*n + 100. Let d be p(6). Suppose b - 5*f = d + 40, 4*b = f + 545. Is 16 a factor of b?
False
Suppose 4*q + 14 + 6 = a, 4*a = -q + 12. Suppose 4*n = -2*j + 246, 0 = -n - j + a*j + 72. Suppose -3*i + 453 = n. Is 26 a factor of i?
True
Let o be 6601/(-4) + 24/(-32). Let y = o + 2438. Does 54 divide y?
False
Let d = 59111 - 28976. Does 205 divide d?
True
Let j be 1/2 - ((-30)/4 - -2). Suppose 23 - 11 = j*g. Is (4 + 5)*3 + (-6)/g a multiple of 12?
True
Suppose 0 = -0*j - 4*j - 1828. Let f = -388 - j. Does 2 divide f?
False
Let x(n) = -n**3 + 14*n**2 + 7*n + 10. Let o be x(14). Let a be 1/4 - 9/(o/(-105)). Does 5 divide 1*10*a/18?
True
Suppose -3*u + 4*b + 1123 = 0, -1468 = -56*u + 52*u - 2*b. Is 5 a factor of u?
False
Let t(g) = -g**2 - 5*g + 162. Let q be t(10). Suppose 625 = 3*w + j, -q*j = -w - 13*j + 209. Does 8 divide w?
True
Let l(k) be the first derivative of 80*k**4 + k**3/3 + 3*k**2 - 5*k + 87. Does 14 divide l(1)?
True
Suppose -13*l - 209 = 77. Let w = 6 + l. Is (32/5)/(w/(-200)) a multiple of 4?
True
Let q(w) = 14*w**2 + 25*w + 84. Is q(-7) a multiple of 85?
True
Let u = -330 - -4. Let s = -196 - u. Suppose -n + 5*m - m = -39, 3*n + m - s = 0. Is 13 a factor of n?
False
Suppose 119*o + 19739 - 533499 = -11*o. Is 38 a factor of o?
True
Suppose 0*l = 4*g + 4*l, 0 = -4*l - 16. Let j(f) = 2*f**3 + f**2 - 8*f - 5. Let i be j(g). Let w = -47 + i. Is w a multiple of 22?
False
Let f = 20 - 16. Suppose 2*y + p = -4*p + 254, p = f*y - 530. Is y a multiple of 18?
False
Suppose -5*n - 2*o = 1038, -42*o + 45*o = 3*n + 627. Is (-16)/(-4) + n/(-2) a multiple of 9?
True
Let b(s) = -s**2 - 23*s - 85. Let c be b(-5). Suppose 1672 = c*v + 2*i, 3*v + 660 = 5*v + 3*i. Does 48 divide v?
True
Is 12/(-18)*6 - (-4475 - 35/(-7)) a multiple of 58?
True
Let h(p) be the second derivative of p**5/20 + p**4/12 - p**3/6 + 195*p**2 - 20*p - 2. Is 30 a factor of h(0)?
True
Let k(y) = -y**2 + 17*y - 37. Let u be k(14). Suppose u*c - 239 = -59. Does 12 divide c?
True
Let m(f) = 8*f**2 - 8*f - 32. Suppose -23*l = -2*l + 210. Does 16 divide m(l)?
True
Let y = 24 - 47. Let p = -19 - y. Suppose -8*a + 88 = -p*a. Is a a multiple of 13?
False
Let i(q) be the first derivative of q**4/2 + 4*q**3 + 8*q**2 - q + 200. Does 2 divide i(-3)?
False
Suppose 5840 = 2*n + 4*h, 5*n = -h + 7486 + 7078. Is n a multiple of 3?
False
Let r(o) = -o**3 - 30*o**2 - 88*o - 1395. Does 3 divide r(-31)?
False
Suppose 14 = 4*x + 26. Is 41 a factor of x*(-328)/6*2?
True
Suppose 251191 = 43*u - 3023259. Is u a multiple of 16?
False
Suppose 2*k - 3 = 3*k, 4*n - 5*k = 27. Suppose -4*b + 261 = -3*s - 137, -5*b - n*s = -484. Does 4 divide b?
False
Let c = -3625 + 7545. Is 40 a factor of c?
True
Suppose -l + 3*n = 13, 0 = -l + 4*n - 14 - 1. Let d(z) = -z**3 + z**2 - 6. Let b(v) = v**3 - v**2 + 9. Let h(m) = l*d(m) - 5*b(m). Does 2 divide h(2)?
False
Suppose 5*h = -3*b - 0 + 18, -3*h = -5*b - 38. Suppose 5*u = 4*d - h, -d + 1 + 3 = 0. Is 8 a factor of (-46 + (u - -1 - 4))*-1?
False
Suppose -659042 = -288*p + 3067262 + 684704. Does 185 divide p?
False
Suppose -5*s + s = -16. Suppose -c + 5216 = 3*c - s*l, 1320 = c - 5*l. Does 26 divide c?
True
Suppose 16*i - 10818 = 6566 + 9176. Is 9 a factor of i?
False
Suppose -8 - 10 = -3*t. Let v be ((-6)/t + -2)*2/(-6). Is 18 a factor of v/2*-8 - -51?
False
Is -11491*3/(-3) - (10 + -28 + 14) a multiple of 19?
True
Let r(a) = 82*a + 70. Let m = -157 + 161. Is r(m) a multiple of 30?
False
Let k = -318 + 323. Suppose 3*l = k*x - 7 + 48, -1 = x. Does 4 divide l?
True
Suppose -30*w + 26*w + 5552 = 3*m, -2*m + w = -3683. Is 25 a factor of m?
False
Suppose -4*x + 384 = -2*l, 10 + 2 = -3*l. Suppose 1906 + x = 4*r. Does 20 divide r?
True
Let z(o) = -o**3 - 178. Let a be z(0). Let p = -95 - a. Does 3 divide p?
False
Is (-1240)/15*(1 - (-836)/(-8)) a multiple of 168?
False
Let w(f) = 2*f**3 - 83*f**2 - 176*f - 61. Is 37 a factor of w(44)?
False
Suppose -15954 = -127*x + 4157901. Does 35 divide x?
True
Is 12*(-3)/9 + 994 + -1 a multiple of 22?
False
Let z = -1120 + 1128. Let j = -21 - -35. Is 5/(z/(-224) - (-4)/j) a multiple of 10?
True
Let t be (1 + (28/6 - 4))*3. Suppose t*h - 1751 = -4*l, h - 2*l = 3*h - 702. Is 23 a factor of h?
False
Let r(y) be the second derivative of -26*y**5/5 + y**3/2 + y**2 - 73*y. Let i = 20 + -21. Is 21 a factor of r(i)?
False
Suppose 4*o - 4 = 8. Suppose o*w - 7 = -43. Is (-6 + 784/(-21))*w/5 a multiple of 12?
False
Suppose 20 = 4*g - 3*i + 7, -29 = -2*g - 3*i. Does 70 divide 4/6 - g/(126/(-3768))?
True
Let b = -286 - -298. Suppose b*r - 22*r + 820 = 0. Is r even?
True
Suppose -5*o + 3*m + 1215 = 0, -3*m + 867 = 4*o - 78. Suppose 22*s = 24*s - o. Let h = s + -99. Is 7 a factor of h?
True
Suppose -31702 = -42*l + 95894