
Let a(m) = -4*m**3 - 14*m**2 - 21*m - 10. Is 35 a factor of a(-5)?
True
Suppose -2*v + 4 = -3*v + n, 4*v + 1 = n. Let r(a) = 5*a - 2. Is 3 a factor of r(v)?
True
Let d(q) = -3*q**2 + 90*q - 22. Is d(27) a multiple of 44?
False
Suppose 8 = 6*r - r - x, 3*r + 2*x = 10. Let z(d) = 4*d**2 + 2*d. Let i be z(r). Suppose 3*h - 7*h - 4*l + 140 = 0, 5*l = -i. Is h a multiple of 23?
False
Suppose -1765 = -8*a + 2363. Is a a multiple of 36?
False
Let u(b) = b**3 - 7*b**2 + 12*b - 11. Let z be u(9). Suppose -35 + z = 4*g. Does 14 divide g?
True
Let u(p) = 2*p**2 - 2. Let f be u(2). Suppose -r = f - 10. Suppose 17 + 259 = r*w. Does 23 divide w?
True
Suppose -3*f = z - 237, -z + 5*f + 208 + 61 = 0. Does 19 divide z?
False
Suppose 15 = 3*g + 2*g. Suppose 8*y = g*y - 3*f + 7, -5*y - 4*f + 6 = 0. Suppose y*q = 4*q - 24. Does 4 divide q?
True
Suppose 4 = r, -q + 2*r - 4 = 1. Suppose -u = -q*o, -4*o = 13 + 3. Let v = 27 + u. Does 10 divide v?
False
Let i(j) = j**2 - 5*j + 3. Let c be i(5). Let x(q) = c*q + 2 + 1 + 4*q**2 + 0*q**2. Is x(-3) a multiple of 10?
True
Suppose 10*a - 1380 = 4730. Does 39 divide a?
False
Let n = -39 - -32. Does 3 divide 4 + n + (-99)/(-3) + 0?
True
Let g = -50 - -101. Let x be 2*(-1)/5 + (-784)/(-10). Suppose 2*b = -4*n + x, n + g = 2*b - 27. Is b a multiple of 13?
True
Let f be -4 + 5 - 4*29. Let d = -60 - f. Is 11 a factor of d?
True
Suppose 30*k - 3640 = 25*k. Is k a multiple of 14?
True
Suppose 4*n - 26 = -2. Let u(p) = 6*p - p + 7*p - n + 1. Is 24 a factor of u(3)?
False
Let h(i) = -3*i**2 - 11*i - 4. Let w be h(-7). Let v = 121 + w. Is v a multiple of 6?
False
Suppose 5*m - 4*m = 57. Is 4 a factor of m?
False
Suppose 5*r + 30 = 10*r. Is 2*(-3)/r + 43 a multiple of 8?
False
Let i = 5240 + -2785. Does 10 divide i?
False
Let j = -435 + 859. Does 28 divide j?
False
Is ((-11)/((-77)/21))/(6/214) a multiple of 4?
False
Let q be 24/(6/(-40)*-1). Let i be q/(-12)*(-9)/2. Is 16 a factor of 0 + (i - -2 - -3)?
False
Suppose -4*y = g - 17, -5*y - 3*g + 5 = -11. Let r(x) = 3*x**2 - 11*x - 4. Is r(y) a multiple of 6?
False
Does 15 divide ((-7)/(420/(-288)))/((-2)/(-85))?
False
Let j be 3/(-2) + (-35)/(-10). Suppose j*g - 4*s = 30, 4*g + 2*s - 36 = 2*g. Is 10 a factor of g?
False
Let p(r) = r**2 - 12*r + 5. Let k be p(5). Let q be ((-108)/k)/(2/40). Is 16/q + (-104)/(-18) a multiple of 3?
True
Let h = 99 + -4. Let q = h + 37. Is q a multiple of 33?
True
Suppose 3*j - 5*g - 9 = 5, -4*j + 4*g + 24 = 0. Suppose -j = 2*c - 4. Is 18 a factor of (-1 - c)*(1 - -40)?
False
Is 48 a factor of (-59741)/(-44) + (-15)/(-12)?
False
Let o(j) = -j**3 - 7*j**2 - 7*j + 3. Let b be o(-6). Let f(z) = 3*z**2 - z - 1. Let h be f(-2). Let t = h - b. Is 4 a factor of t?
True
Let h = 2877 + -1521. Is h a multiple of 78?
False
Let x be (184/12)/(1/3). Suppose 3*b + 2*b = u + x, 0 = 2*u + 2. Suppose 0 = b*y - 4*y - 155. Is y a multiple of 16?
False
Does 51 divide 415 - (3/(-2))/((-24)/64)?
False
Let r be 11/5 - 76/(-95). Suppose 28 = q + r. Does 5 divide q?
True
Let r = 520 - 338. Let w = -79 + r. Is 12 a factor of w?
False
Suppose -12481 = -17*v + 5624. Is v a multiple of 72?
False
Suppose 3*g = -3*p - 627, -4*p + 9*p + 1036 = 4*g. Let c = 397 + p. Is 13 a factor of c?
False
Suppose -3*g + 155 = -259. Is 11 a factor of g?
False
Suppose l = 2*l - 3*i - 346, 0 = -4*l - 4*i + 1432. Does 32 divide l?
False
Let y(m) = -2*m - 8. Let i be y(7). Is 15 a factor of (-4)/((-32)/(-36))*i?
False
Let m(z) = -z + 11. Let i be m(7). Suppose i*p = -44 + 164. Does 6 divide p?
True
Suppose -5*i = -b - 2*i + 35, -5*b + 2*i = -175. Is 7 a factor of b?
True
Let r(x) = -x**2 + 13*x - 15. Let c be r(10). Let n = c + -15. Suppose -z - 2*a = -n*z - 108, -15 = -3*a. Is 27 a factor of z?
False
Is 3 a factor of (-403)/(-8) - (-6 + (-153)/(-24))?
False
Suppose -k = 2, 0 = -w - 8*k + 4*k + 22. Is 5 a factor of w?
True
Let f = 4 + 16. Does 12 divide (96/f)/(2/10)?
True
Suppose 2*g - 462 = -2*o, 2*g - o = -0*g + 453. Does 3 divide (-4)/20 - g/(-15)?
True
Let d(r) = -r**2 - 6*r - 4. Let j be d(-5). Is 4 a factor of j/1*-3 + 9?
False
Suppose t + 5 - 1 = 0. Is (2/t)/((-30)/1200) a multiple of 10?
True
Suppose -4*l = 2*l - 60. Let v(i) = -6*i + i**2 + 6*i + 0*i**2 + i + l. Is v(0) even?
True
Let u = -118 + 278. Suppose c = 5*c - u. Does 20 divide c?
True
Suppose n + 8*u = 3*u + 4, -u + 116 = 5*n. Is (-4)/2 + n + (-24)/(-4) a multiple of 25?
False
Let q(z) = -7*z + 4. Let y be q(-13). Suppose 2*g - 5*l - 75 = 4*g, l = 4*g + y. Let u = 47 + g. Is 11 a factor of u?
True
Let p = -21 + 12. Let x = p - -11. Suppose 0 = -4*a - x*y + 42, 0*a + 2*y - 52 = -5*a. Does 6 divide a?
False
Let b(j) = 7 - 2*j + 6 - 13. Let n be b(-1). Suppose -4 + 220 = n*l. Is l a multiple of 27?
True
Let y(c) = c**3 + 8*c**2 + 5*c + 1. Let w be y(4). Suppose 5*i = 2*i - r + w, 5*i = -3*r + 359. Does 7 divide i?
True
Let h(p) = -p**3 + 12*p**2 - 12*p + 16. Let j be h(11). Suppose -5*x - 269 = 3*q, j*q + 7*x - 2*x + 435 = 0. Let u = 1 - q. Is u a multiple of 14?
True
Suppose -3*y + 4*n + 613 = 0, -4*y = -2*y + n - 405. Does 8 divide y?
False
Let h(a) = -5 - 3*a**3 - 19*a**2 + 6*a - 21*a**2 + 43*a**2 + 2*a**3. Let x be h(4). Let f = 13 + x. Does 16 divide f?
True
Suppose 2*h = 5*a - 4944, -2*a + 755 = -h - 1222. Is 22 a factor of a?
True
Let w(p) = 25 - p**3 - 276*p + 276*p - p**2. Suppose 4*v - x = 0, -4*x = 3*v - 9*x. Does 15 divide w(v)?
False
Let h(q) = q**3 + q**2 - q - 1. Let w(s) = -7*s**3 + 12*s + 9. Let k(t) = -6*h(t) - w(t). Let z be k(8). Suppose 3*a - z = 121. Is a a multiple of 22?
True
Let f(t) = -t**3 + 8*t**2 + 4*t - 2. Let y be (-28)/6*(-90)/35. Let n be 110/(-33)*y/(-5). Is f(n) a multiple of 10?
True
Let c(r) = 7*r - 3. Let t be c(4). Let l(u) = u**2 - u - 1. Let p be l(5). Suppose 5*g = -t, -5*v + p = 2*g - 51. Is v a multiple of 13?
False
Let x(k) = 3*k - 3. Let t(z) = z + 1. Let h(p) = -2*t(p) + x(p). Let g be h(7). Does 4 divide 184/16 + 1/g?
True
Suppose -2*s - 136 + 556 = 0. Does 10 divide s?
True
Let k(a) = 3*a - 23. Let f be k(10). Let q = 10 + f. Does 3 divide q?
False
Suppose 7032 = 14*k - 8*k. Is k a multiple of 60?
False
Suppose -12*u - 16 = -28*u. Is 11 a factor of ((-1)/5)/(u/(-55))?
True
Suppose 6*v = 4256 + 100. Is v a multiple of 11?
True
Suppose -o + 3*s + 64 = 0, -39 = -o + 4*s + 28. Suppose -7*i - o = -12*i. Is i a multiple of 11?
True
Suppose 13*v = 10*v + 1302. Is v a multiple of 31?
True
Let a(z) = -z**2 - 14*z - 14. Is a(-5) a multiple of 12?
False
Suppose 1135 = a - 6*a - 4*y, 198 = -a + 5*y. Let z = a + 340. Does 9 divide z?
True
Let o(b) = -3*b**2 - 2*b + 303. Is 7 a factor of o(0)?
False
Let y(d) = 20*d + 6. Let i be y(3). Let z = -50 + i. Is 3 a factor of z?
False
Does 5 divide (84/(-15))/(16/(-40))?
False
Let b(s) = 3*s**3 + 2*s**2 - 1. Suppose n + 2*v = -1 + 6, -4*n - 3*v + 10 = 0. Let q be b(n). Let h(k) = 3*k + 2. Is h(q) a multiple of 5?
False
Suppose 3*n + 2*a = 1030, -6*n + 2*n = -a - 1377. Is n a multiple of 86?
True
Suppose -4*z - 2*u - 2*u - 20 = 0, 5*u - 7 = -z. Let h be (z/5)/(4/30). Is 8 a factor of h/(-18) - 44/(-6)?
True
Let z = 272 - 129. Does 13 divide z?
True
Suppose -14*b = -18*b + 4. Is 3 a factor of (2/4)/(b/6)?
True
Let s(b) be the third derivative of -b**5/60 - b**4/12 + 17*b**3/3 + 2*b**2. Is s(0) a multiple of 4?
False
Suppose -4*o = 3 - 39. Suppose 80 = o*d - 5*d. Let j = 7 + d. Is j a multiple of 9?
True
Suppose -4*h = -p - 2*h + 227, -2*p - 2*h = -466. Is p a multiple of 3?
True
Let z(k) = k**2 - 10*k - 3. Let c be z(12). Suppose -7*j = -c - 161. Does 16 divide j?
False
Is 38 a factor of 2/(-3) + 10350/54 - 1?
True
Let n = -17 - -177. Suppose 7*z - n = 6*z. Is 23 a factor of z?
False
Let l be (-7)/(-14) + (-2)/4. Suppose n + 3*c = -1, -4*n + c = -l*n - 9. Suppose 3*q + 4*j = 2*q + 19, -q - n*j = -29. Is q a multiple of 13?
True
Let z = 94 + -1. Suppose 3*r - 147 = z. Does 20 divide r?
True
Is 2687 + (-3 - (8 - 3)) a multiple of 11?
False
Suppose z + t - 121 = 37, 0 = -4*z - 2*t + 640. Suppose z = 6*r - 42. Is r a multiple of 8?
False
Let n(c) be the second derivative of 5*c**3/6 + 5*c**2 - c. Is n(5) a multiple of 10?
False
Suppose 28 = -3*k + 7*k. Suppose 2*x - k - 15 = 0. Suppose -i - 18 = -g - 4*i, -i = 2*g - x. Is 3 a factor of g?
True
Let z(q) = 15*q + 10