alse
Let z(h) = -157*h - 6. Let u(b) = -313*b - 12. Let w(y) = -6*u(y) + 11*z(y). Does 57 divide w(6)?
True
Let c(o) = -4*o**3 - 12*o**2 - 9*o - 13. Let f be c(-7). Let t = f - 546. Does 36 divide t?
True
Suppose 0 = -5*h + 2*n - 53 + 76, 4*n = -3*h + 19. Suppose 4*w - 4*c = -0*c + 1280, -w = -h*c - 328. Is 106 a factor of w?
True
Suppose 0 = 3*a - 0 - 3. Let l(d) be the first derivative of 115*d**2/2 - d - 26. Is 38 a factor of l(a)?
True
Let b(a) be the first derivative of -2*a**2 + 108*a - 232. Is b(-21) a multiple of 16?
True
Let i = 965 - 962. Suppose -3*d - 6*a + 3183 = -3*a, a + 3187 = i*d. Is 62 a factor of d?
False
Let t = 34545 - 24069. Is t a multiple of 27?
True
Let b(s) = -2774*s + 248. Is b(-5) a multiple of 26?
True
Let h be 2/(-3)*45/(-18)*24. Let x = h + -44. Is 29 a factor of (4 - -1) + x - -86?
True
Let n = -12658 + 17412. Is 18 a factor of n?
False
Suppose h - 5 = i, i + 16 = 2*h + 2. Suppose 57 + 447 = h*d. Is 14 a factor of d?
True
Suppose 9*g = 17*g. Suppose g*o + 4*j - 628 = -2*o, o - 3*j = 309. Is 24 a factor of o?
True
Let n(i) = -i**3 - 5*i**2 + 18*i - 3. Let t be n(-7). Let d(q) = -2*q**2 - 66*q - 65. Is d(t) a multiple of 26?
False
Let y(l) = -l + 50. Let a(x) = 2*x - 102. Let u(b) = -3*a(b) - 5*y(b). Suppose -3*p + 30 = -2*p + 5*k, k - 82 = -4*p. Is 9 a factor of u(p)?
True
Suppose -3*h + 955 = 973. Is ((-4)/h)/((-9)/(-6777)) a multiple of 60?
False
Suppose -5288*u + 66348 = -5276*u. Is 11 a factor of u?
False
Let g = 513 + -509. Is g*(1254/12 + -7) a multiple of 13?
True
Suppose 3*w - w = 0. Suppose 0 = -v - 2*z + 5*z - 9, w = -3*z + 12. Suppose 7*g - 3*g = -5*x + 98, -v*x + g + 69 = 0. Is x even?
True
Let g(v) = -3*v**2 + 24*v + 9. Let u be g(8). Is ((-4)/(-14)*u)/((-25)/(-525)) a multiple of 54?
True
Suppose -3*g + 7717 = v + 995, 4*g + 3*v - 8956 = 0. Is g a multiple of 38?
True
Suppose -19*h + 47783 + 39111 + 2026 = 0. Is h a multiple of 30?
True
Let l(d) = 532*d + 3012. Is 4 a factor of l(-5)?
True
Suppose -26*n + 28*n - 3000 = -2*d, 5*n - 4*d = 7500. Does 25 divide n?
True
Suppose -105*d - 33*d - 111*d = -2852046. Is 71 a factor of d?
False
Suppose 2*m + 2*c - 2 = 0, 2*m + 0*c = 3*c + 22. Suppose -5*t = -t - g + 59, -m*t + 3*g = 65. Is (8/16)/((-2)/t) a multiple of 4?
True
Suppose 15*q + 764 = 59. Let i = 278 - q. Does 13 divide i?
True
Suppose 2*s - 2*t = -7318 + 21438, -35308 = -5*s + 3*t. Is s a multiple of 40?
False
Let r be (264/18 - 15)/((-1)/(-6)). Is (-6 - 84*2)/r a multiple of 70?
False
Let g(d) be the first derivative of 10*d**3/3 + d**2 + 2*d - 10. Let k(b) = -b**2 + 10*b - 27. Let y be k(5). Is 22 a factor of g(y)?
False
Let r(w) = -13*w**3 - 6*w**2 - 2*w + 3. Let h be r(-2). Suppose -6 = g + k - 99, g + 3*k = h. Is 12 a factor of g?
True
Suppose n - 6 = 0, 2*n = 5*i - 86837 - 19846. Is i a multiple of 30?
False
Let n be -10 + -2*(-1998)/12. Suppose 5*k = 219 - 1204. Let g = n + k. Is g a multiple of 9?
True
Suppose -5*v - 33 = -3*d + 16, 0 = -3*d + 3*v + 39. Let n(r) = 2 - d + 11*r + 0 + 8. Is 15 a factor of n(5)?
False
Let z = -75 - -129. Suppose 142 = 14*o - z. Suppose -10*l = -o*l + 700. Is l a multiple of 13?
False
Let v(p) = -7*p**3 + 12*p**2 - 11*p + 1. Let t be v(5). Let g = 1049 + t. Is 12 a factor of g?
True
Does 136 divide 21/(-7) - 5 - 1610/(-2)?
False
Let p = 19 - 16. Suppose 0 = 8*x - p*x + 40. Is 13 a factor of (168/(-16))/(3/x)?
False
Is 21 a factor of ((5/(-3))/(82/(-85772)))/((-4)/(-6))?
False
Let w = -37 - -42. Suppose -w*r + 369 = -4*l, l - 5*l + r - 349 = 0. Let n = l + 162. Does 15 divide n?
False
Suppose 3*n + 639 = -48. Let c = n - -413. Is 23 a factor of c?
True
Let z = 19377 + -4846. Does 11 divide z?
True
Suppose -80 = -2*k - 4*g + 30, -3*g = 2*k - 115. Suppose -15*v + 2 = -73. Suppose 4*s - v*m - 184 = -49, -s = 5*m - k. Is 4 a factor of s?
True
Let y(z) = -z**2 + 39*z + 500. Does 20 divide y(44)?
True
Suppose 45*b = 20*b + 52200. Does 17 divide b?
False
Let i be 2/1 + 55/(-1) - 0. Let h = i - -47. Is 8 a factor of h*(4/3 - 4)?
True
Let c(o) = 79*o - 26. Let l(j) = 7*j + 22. Let z be l(-4). Let f be c(z). Let k = f + 748. Is 44 a factor of k?
False
Is (-445576)/(-32) - 45/(-60) a multiple of 25?
True
Let o(d) = d**2 + 13*d + 43. Let n be o(-5). Suppose f = -b + 12 + 26, 138 = 3*b - n*f. Is b a multiple of 18?
False
Let a(n) = 0*n**2 - 2*n**2 - 2*n**2 + n**2 + 6 + 6*n**2 - 32*n. Is 8 a factor of a(23)?
False
Let v(w) = 175 - 172 + 23*w - 4*w - w**2. Let o be v(11). Let x = o - 41. Does 50 divide x?
True
Suppose -7*a = -14*a - 1393. Let k = a + 551. Is 16 a factor of k?
True
Suppose -v + 196 = 3*z, 192 = 4*z + v - 69. Suppose 0 = -z*a + 63*a + 822. Let h = a + -202. Is h a multiple of 15?
False
Let f(x) = -61*x + 70. Let m be f(-14). Let n = m - 420. Does 56 divide n?
True
Suppose 3*d - 10 = 2*a, 6 = 3*d - 0*d. Is 12 a factor of (20/8*a - -8)*140?
True
Let h be 1 - 2 - (0/(-2) - 2). Let a be (0 - h - -2)*3. Suppose 3*d + 2*w = -d + 270, a*d - 5*w = 170. Does 22 divide d?
False
Suppose 4*x - 10288 = -11*n + 5*n, -4*n + 6872 = x. Is 43 a factor of n?
True
Is 5 a factor of (-6)/14 + 2106336/1554?
True
Let n be (120/25)/(3/10). Suppose -407 = -5*g + 4*d, -310 - n = -4*g + 3*d. Let r = 161 - g. Is 26 a factor of r?
True
Let m(i) = i**3 - 7*i**2 - 9*i - 1. Let l(u) = 4*u**3 - 26*u**2 - 36*u - 5. Let k(g) = 6*l(g) - 23*m(g). Let b be (2 - 1/1)*-6. Is k(b) a multiple of 10?
False
Suppose 4*h = 8*h + 796. Let m = 399 + h. Is 5 a factor of m?
True
Let a = -228 + 226. Is (-1572)/a - (-9 - -8 - -3) a multiple of 8?
True
Let c(v) = 19*v - 3. Let d(x) = x**3 + 10*x**2 + x + 14. Let q be d(-10). Suppose 15 = -5*w + q*z, 3 = -w + z - 1. Is c(w) a multiple of 8?
True
Suppose -z - 4*k = -663, 0 = -61*z + 64*z - 2*k - 2059. Does 76 divide z?
False
Let p(y) = 11*y**2 + 4*y + 1. Let w be p(-1). Suppose 2*q - 38 = -4*m, -m - w*q = -6*q - 5. Is 59 a factor of -1 + 337 + m/(-11)?
False
Let l be (4/(-12))/(2/(-6))*5. Suppose 219 = 4*t - 57. Suppose 4*n - 7 = -2*o + t, 154 = l*o + n. Does 3 divide o?
True
Suppose 12502 = 19*c - 5*c. Let b = c + -434. Is 17 a factor of b?
True
Suppose 522*i - 669*i + 1545999 = 0. Is i a multiple of 14?
False
Let n(p) = 21675*p**2 - 78*p + 79. Is 24 a factor of n(1)?
False
Let o be (1/1)/(-1)*(-12060)/3. Suppose -o = -134*k + 124*k. Does 37 divide k?
False
Suppose -3*w - 9 = 0, 0*w = 3*m + 3*w - 3. Let q be (-4 + 10)/(-1 + (-2)/m). Is 31 a factor of 31/q*-6*4?
True
Let h = -26054 - -28322. Does 5 divide h?
False
Suppose 23021 = 4*z - 5*u, -3*z + 2*u = 1596 - 18860. Is z a multiple of 137?
True
Let b(l) = -l**2 + 17*l - 30. Let m be 1/5 + (-69)/(-5). Let q be b(m). Suppose 2*s - 23 = -5*x + q, 0 = -5*s - 2*x + 77. Is s a multiple of 5?
True
Suppose 2*d - 404 = -2*d. Suppose 9*x + 321 - 51 = 0. Let s = d + x. Does 20 divide s?
False
Suppose -2*a - 1197 = -3*o, 2*o - 1002 - 190 = 2*a. Let l = -412 - a. Does 13 divide l?
False
Suppose -438*s = -436*s - 4*p - 17152, 3*s - 5*p - 25730 = 0. Does 33 divide s?
True
Let j(o) = o**3 + 12*o**2 + 9*o - 4. Let y be j(-11). Suppose 0 = 5*i + i - y. Is (5 - 1) + (111 - 0) - i a multiple of 7?
True
Let a(k) be the third derivative of k**4/12 + 67*k**3/2 - 13*k**2. Is 4 a factor of a(-13)?
False
Let k(g) = -2*g**2 - 19*g + 51. Let q be k(-19). Let d = 730 + q. Is d a multiple of 10?
True
Suppose 3*g - 29844 = -3*d, -4*d + 39795 = -28*g + 31*g. Does 88 divide d?
False
Let d(u) = -6*u - 71. Let q be d(-16). Does 65 divide 44*q + 12 + -7?
True
Let g(h) = 67*h**2 + 18*h + 471. Does 94 divide g(-9)?
False
Let q be 3 - (2 + -5 + 1). Let g(u) = -2*u**3 - 8*u**2 - 4. Let s(k) = 5*k**3 + 22*k**2 + 12. Let z(i) = -8*g(i) - 3*s(i). Does 11 divide z(q)?
False
Suppose -2224*u + 2236*u - 76740 = 0. Is u a multiple of 11?
False
Suppose 72846 = -23*h - 4*h. Let q = -1333 - h. Is q a multiple of 39?
True
Let x(n) = n**2 - 26*n + 156. Let i be x(9). Suppose 2*a - l - 423 = 347, i*a = -2*l + 1148. Does 12 divide a?
True
Suppose -6*b - 4*k + 11668 = 0, 49*b - k = 47*b + 3894. Is 7 a factor of b?
True
Let f = 17158 - -27. Is 34 a factor of f?
False
Let i(y) be the first derivative of 14*y**3/3 + 3*y**2 + 27*y + 14. Let p(q) = -5*q**2 - 2*q - 9. Let n(r) = 6*i(r) + 17*p(r). Is n(0) a multiple of 2?
False
Let i(m) = -27988*m**3 - 96*m**2 - 96*m. Is 