rue
Let s be -2 + (-14)/(-8) + (-57)/12. Does 31 divide 2/s - ((-2635)/25 - 3)?
False
Let u be 28/(-42) + (-64)/(-6). Let j = 16 - u. Is j even?
True
Let h = -459 + 673. Is h a multiple of 43?
False
Let f = 2116 + -1130. Is 58 a factor of f?
True
Let w(t) = t**2 + 8*t + 11. Let u be w(-5). Let p = 19 + u. Is 5 a factor of p?
True
Let y(q) = -q**2 - 10*q - 7. Let b be y(-9). Suppose -6*i - 24 = -b*i. Is (-3 + (-8)/(-12))*i a multiple of 14?
True
Suppose 0 = 4*f + 3*y - 32, 3*y = 3*f - y + 1. Suppose -5*j = -b + 6*b - 375, 0 = 4*j + f*b - 300. Is j a multiple of 3?
True
Suppose 4*j + c = 9460, -3*c = -11*j + 13*j - 4720. Is 66 a factor of j?
False
Let b(i) = -i**2 + 4*i. Let y be b(4). Suppose 5*r - r - 16 = y. Let d = 14 - r. Is d a multiple of 5?
True
Suppose -2*l = -4*g - 5244, 2*l - 1234 = 5*g + 4010. Does 38 divide l?
True
Let y(u) = -7*u - 4 - 11*u**3 + 5 + 4 - 6*u**2 + 12*u**3. Let g be y(7). Let t(h) = -h**2 + 6*h - 1. Is 2 a factor of t(g)?
True
Suppose 0 = 11*m - 7*m - 376. Is m a multiple of 6?
False
Suppose -14*x = -17*x - 2*v + 8230, 0 = 3*x - v - 8233. Is x a multiple of 56?
True
Let h = -81 - -160. Let d = h + 220. Is d/39 + 2/(-3) a multiple of 7?
True
Let h(j) = -j**3 - 17*j**2 + 17*j + 11. Let b(m) = -m**3 - 16*m**2 + 18*m + 11. Let p(f) = -3*b(f) + 2*h(f). Does 14 divide p(-15)?
False
Let x be (3 + -2)/((-19825)/(-4955) + -4). Suppose -3*c + x = 271. Does 30 divide c?
True
Let k(o) = 31*o**2 - 12*o + 25. Is k(3) a multiple of 12?
False
Let h(l) = -l**3 + l**2 + l. Let t(o) = 4*o**3 + 2*o**2 - 12*o + 12. Let x(y) = -5*h(y) - t(y). Is 36 a factor of x(8)?
True
Let t be 9/((-9)/4)*3. Let x(m) = -m**2 - m - 5. Let d be x(-5). Let i = t - d. Is 4 a factor of i?
False
Let k = -1381 + 2690. Is k a multiple of 77?
True
Let t be 15/(1 + 4) + 4. Let h = -7 + t. Suppose -5*i + 3*i + 4 = h. Is i a multiple of 2?
True
Suppose 24*x - 850 = 14*x. Does 17 divide x?
True
Suppose b - 174 = -2*v, -v + 4*v - 2*b - 261 = 0. Suppose -3*m = -m + p - 139, 0 = m - 3*p - v. Is 18 a factor of m?
True
Let c be 2/(-8) - 90/(-8). Let v(l) = 16*l**2 + l + 2. Let k be v(-1). Suppose -c*n - k = -12*n. Is n a multiple of 17?
True
Let x(y) = -1221*y**3 + 11*y + 12. Is 18 a factor of x(-1)?
False
Let w(s) = 17*s**2 - 28*s + 501. Does 14 divide w(13)?
True
Let w(o) be the second derivative of -14/3*o**3 + 3*o**2 + 5*o + 0. Is w(-3) a multiple of 13?
False
Let a(f) = -2*f - 20. Suppose 5*n - 25 = 0, 2*n - n + 11 = -2*m. Let o = -23 - m. Is 7 a factor of a(o)?
False
Let g(i) = 4*i**2 - 3*i + 1. Let t be g(2). Suppose -t = o - 2*m, 5*m = -o - 10 + 34. Is 24 a factor of (18/(-8))/(o/12)?
False
Is 8 a factor of 2064/6*120/48?
False
Suppose 8*h = 13*h - 20295. Is 123 a factor of h?
True
Let k = 358 + -12. Is 6 a factor of k?
False
Let x(g) = -4*g - g**2 - 23 + g - g - 14*g. Does 5 divide x(-13)?
False
Let f = 26 + -23. Suppose -d - 63 = -f*w, 75 - 12 = 3*w - 5*d. Is 10 a factor of (w/2)/(3/8)?
False
Suppose -2*p + 68 = -4*s + 2*s, -2*s = 10. Suppose 0 = -3*a + 182 - p. Suppose c + a = 4*c. Is 8 a factor of c?
False
Let h be (-11)/(-3)*(1 + 5). Let p be 20/30 + h/(-6). Let n = p + 19. Does 8 divide n?
True
Let z = -17 - -105. Suppose 4*q - 2*k - k - 123 = 0, -3*q - 2*k = -z. Is q a multiple of 15?
True
Suppose 22*s = -0*s + 3432. Does 15 divide s?
False
Let u(q) be the second derivative of 13*q**5/20 - q**4/12 + q**3/6 - q**2/2 - 3*q. Suppose -2 = -4*o + 3*d - 10, -4*o = -5*d + 16. Is 3 a factor of u(o)?
True
Let k(o) = o**3 - 3*o**2 + 6*o - 5. Let l(c) = -c**2 + 8*c - 7. Let z be l(6). Is 27 a factor of k(z)?
False
Suppose 0 = -4*d - 2 + 46. Let t = -9 + d. Suppose -8 = t*w - 104. Is w a multiple of 15?
False
Suppose 0*r = 5*r - 10, 5*l - 3*r - 14 = 0. Let i be -4*(-2)/(l/(-7)). Let q = -10 - i. Is 4 a factor of q?
True
Let m(t) = t - 1. Let r(a) = a**2 + 5*a - 10. Let s be r(-7). Let o be m(s). Suppose -o*h + 106 = -h. Does 11 divide h?
False
Let t(h) = 33*h**2 + h - 2. Let b(k) = k**2 - 9*k + 1. Let x be b(9). Does 4 divide t(x)?
True
Suppose -2984*f = -2978*f - 1554. Does 32 divide f?
False
Let r(v) = -v**3 - 3*v**2 + 6*v - 8. Let n be r(-4). Is 7 a factor of -20*((-14)/n)/(3/(-6))?
True
Suppose 3*t - t - 2 = 0. Suppose 6*l - l + t = -y, -2 = l + 2*y. Suppose -h = -l*h - 2*c - 13, c = -4. Is h a multiple of 5?
True
Let z = -21 - -37. Suppose z = -l + 93. Is l a multiple of 11?
True
Let b = 1421 - 941. Is 80 a factor of b?
True
Let d be (-1 + 369/(-2))/((-4)/16). Suppose 9*m - 2318 = d. Is 17 a factor of m?
True
Let v = 15 - 15. Suppose v = -z - 2. Is 11 a factor of 2/(-1)*(-20 + z)?
True
Suppose w - 16 = 14. Does 8 divide (-44)/(-1) + w + -26?
True
Let t = 1962 + -513. Is 9 a factor of t?
True
Let v(r) = -r**3 + 6*r**2 - 3*r - 12. Suppose -h - 9 = 2*h, 0 = -2*t - 4*h. Let f be v(t). Let c = -21 - f. Is c a multiple of 4?
False
Let v = -10 + 5. Is v/(-20) - 167/(-4) a multiple of 24?
False
Suppose 149 = -3*s + 4*s. Let t be 3026/(-17)*(-1)/(-2). Let v = t + s. Does 14 divide v?
False
Let q(o) = -o**3 + 11*o**2 - o + 21. Let r be q(11). Is r/(-4)*-2 + 22 a multiple of 14?
False
Let w(p) = 20*p**2 + 21*p. Does 17 divide w(4)?
False
Let a(k) = -11*k**3 + k**2 + k + 1. Let y be a(-1). Is 3 a factor of (y/4)/((-6)/(-26))?
False
Let t(d) = -43*d + 25. Does 7 divide t(-4)?
False
Is 9/3*(-2)/((-6)/405) a multiple of 9?
True
Let w = -2 - -2. Suppose w = -5*t - 25 + 125. Suppose p = -p + t. Does 3 divide p?
False
Does 2 divide (-232)/3*(-3)/4?
True
Suppose -43 = -3*c + 4*s, 0 = -0*c + 2*c - s - 22. Let h = 42 - c. Is 4 a factor of h?
False
Suppose 5*k = -2*o + 906, -37*o + 1409 = -34*o - 5*k. Is 27 a factor of o?
False
Is 13 a factor of (-1480)/(-111)*351/4?
True
Suppose 3*o + 2*o = -1100. Is ((-1)/(2/o))/2 a multiple of 37?
False
Let q(d) = 5*d + 24. Let b be q(-5). Is 2/6*b*78/(-1) a multiple of 9?
False
Let b = 977 - 296. Is 7 a factor of b?
False
Suppose 4*n = 6*n. Suppose n = 3*k - 2*k + 3. Is 50/k*15/(-10) a multiple of 11?
False
Suppose 1069 = 3*m - 5*u, -4*u = 4*m - 9*u - 1417. Is 43 a factor of m?
False
Let c(y) = -y**3 - y**2 + 3*y - 4. Let w be c(-4). Let h = 21 - w. Is (h/(-11))/(1/15) a multiple of 2?
False
Let g be (-1*(2 - 1 - 1))/2. Suppose 0 = -4*f - g*f + 232. Does 8 divide f?
False
Suppose -3*t - 14 = -5*w + 671, -4*w = -3*t - 545. Is w a multiple of 70?
True
Let o(g) be the third derivative of g**5/20 + 5*g**4/24 - 17*g**3/3 - 45*g**2. Is 24 a factor of o(-10)?
True
Suppose 16*f = f + 10290. Is 49 a factor of f?
True
Let p = -35 + 38. Suppose -2*s + 20 + 2 = 3*f, 3 = -p*s. Is f a multiple of 2?
True
Suppose m - 27*o = -26*o + 776, -m + 3*o = -782. Is m a multiple of 34?
False
Let l(v) = -101*v + 39. Is 68 a factor of l(-5)?
True
Let j(p) = p**2 - 9 + 3*p - 8 - 23*p + 0*p**2. Let f be j(21). Suppose f*z - 235 = 177. Is z a multiple of 15?
False
Let v(i) = i**3 + 5*i**2 + 4. Let z be v(-5). Suppose 4*x - 3*r + 30 = x, 5*x + 46 = z*r. Does 18 divide ((-354)/(-9))/(x/(-9))?
False
Suppose 4*l + 2 - 14 = 0. Let n be l + (3 + -20)*-1. Let s = n + -8. Is 12 a factor of s?
True
Let h(i) = 17*i**2 - 6*i - 15. Let l(u) = 2*u - 1. Let w be l(-1). Is h(w) a multiple of 20?
False
Suppose 32*m = 28*m + 168. Does 21 divide m?
True
Let j(w) = -w**3 - 6*w**2 + 6*w - 4. Let z be j(-7). Suppose z*i + 2 = 4*i. Suppose 2*k - 152 = -i*k. Is k a multiple of 19?
True
Suppose 244*j = 246*j - 690. Does 5 divide j?
True
Suppose -847 = 7*j + 4*j. Is 11 a factor of (j/21)/((-1)/9)?
True
Suppose z + 2*z = 5*x - 4, -z - 3*x = 20. Is (-2)/z - 33/(-12) a multiple of 3?
True
Let p(v) = v**3 - 3*v**2 - 4*v + 1334. Does 23 divide p(0)?
True
Suppose 467 = 5*c + 67. Is 13 a factor of c?
False
Let s(u) = -u**3 - 14*u**2 + u - 6. Let r be s(-15). Suppose 5*h - 186 = r. Is 23 a factor of h?
False
Does 5 divide 1/(((-27)/(-45))/((-15)/(-1)))?
True
Let b = 8 - 8. Suppose b = -4*p + p + 405. Is p a multiple of 34?
False
Let q(s) = 7*s**3 - 2*s + 1. Let r be q(1). Suppose l + 10 = r*l - 2*y, 3*l + 8 = 4*y. Does 2 divide l?
True
Suppose 0 = 5*m - 3*q - 1038, 0 = -3*m - 7*q + 2*q + 650. Let u = -90 + m. Is u a multiple of 15?
True
Suppose n - 4*w - 33 = 37, 3*w = -5*n + 281. Is 29 a factor of n?
True
Let t be (-52)/(-8) + (3 - (-15)/(-6)). Does 8 divide 165/(-10)*-1*(t + -1)?
False
Let o = -1597 + 2