 y = f - -18. Does 18 divide y?
True
Let m be ((-99)/(-55))/(6/10). Suppose m*l - 162 = 5*b, -5*l + 98 = 2*b - 172. Is 27 a factor of l?
True
Let a(p) = 116*p**2 + p - 1. Let x be a(1). Suppose -3*t + x = -37. Is t a multiple of 17?
True
Let b(p) = p**2 - 20*p + 23. Does 17 divide b(41)?
True
Suppose -2*r + 13*r - 4851 = 0. Does 28 divide r?
False
Let q(b) = 11*b**2 - 7*b - 2. Let a be q(5). Let k = a + -159. Suppose 5*i + 148 = 4*w, -3*i - k = -3*w + 32. Is 8 a factor of w?
False
Let w(m) = -m**2 + 27*m - 66. Let k be 2/((-8)/76)*-1. Does 18 divide w(k)?
False
Suppose 1800 = 9*x - 4*x. Is 36 a factor of x?
True
Let j(k) = k**2 - 9*k - 153. Is 19 a factor of j(-35)?
True
Suppose -5 = -4*t + 59. Let r = t + -11. Suppose 9 + r = s. Is s a multiple of 4?
False
Suppose -3*n + 5*v = -5875, v + 16 - 11 = 0. Is 12 a factor of n?
False
Suppose 0*y + 5*y + 4*t - 53 = 0, -5*y + 35 = -5*t. Let s be (-117)/(-1) - y/(-3). Suppose 0*q - 2*p + 96 = 4*q, 0 = 5*q + 3*p - s. Is 8 a factor of q?
True
Suppose 7*h - h = 432. Is h a multiple of 24?
True
Let u = 24 - 34. Let d = -36 + 43. Does 2 divide u/35 + 58/d?
True
Let n(d) = -3*d**2 - 3*d - 7. Let b be n(-3). Let h = 41 - b. Is 33 a factor of h?
True
Suppose 705 = 5*u - 1670. Let t = u + -234. Does 26 divide t?
False
Let b(x) = -x**3 + 7*x**2 + 11*x - 9. Let p be b(8). Suppose a - 45 = 4*j + p, 2*a - 120 = 2*j. Is a a multiple of 17?
False
Is 21 a factor of 2/12 - 13/(-18)*537?
False
Let p(k) be the first derivative of 2*k**3/3 + 9*k**2/2 - 4*k + 4. Let d be p(-6). Does 3 divide d/3*24/16?
False
Let l(r) = 12*r**2 - 3*r + 11. Let g = 70 - 67. Is l(g) a multiple of 33?
False
Suppose -21*j = -26*j + 600. Does 30 divide j?
True
Let g = -2 - -4. Suppose -3*l + 5*r = -0*l - 11, -3*l + g = 4*r. Suppose -l*n - a = a - 46, -3*n + 3*a + 87 = 0. Is 13 a factor of n?
True
Let t = -16 - -18. Suppose -24 = -d + 4*w, 56 - 2 = 4*d - t*w. Is 6 a factor of d?
True
Suppose -5*c + 60 = -0*c + 5*n, 0 = c + 2*n - 17. Suppose -c*v = -2*v - 455. Suppose -2*i - 3*p = -v, -2*p = -3*i + 140 + 3. Does 16 divide i?
False
Is 3 - (4480/(-60) + 3/(-9)) a multiple of 6?
True
Let o = 90 + -99. Is o/(-12)*(11 - -1) a multiple of 2?
False
Let t be 2/(-7) + (-214)/(-14). Suppose -237 = -6*n + t. Does 6 divide n?
True
Let d(u) = u**2 - 4*u + 9. Let i be d(4). Does 10 divide 633/i + (-2)/6?
True
Suppose -4*r - 4 = 0, 2*r - 3*r + 74 = 5*q. Let m = 14 - 8. Let t = m + q. Is t a multiple of 7?
True
Let t(v) be the first derivative of -4*v**2 - 5*v**2 - 2*v - 3 + 4 + 0*v**2. Does 6 divide t(-1)?
False
Suppose 4*a - 3 = 21. Suppose 43*w = 40*w + 114. Let p = a + w. Does 21 divide p?
False
Let h(c) = -4*c. Let p(m) = 3*m. Let r(x) = 5*h(x) + 8*p(x). Let a be r(-1). Is 21 a factor of (-2)/(a/2) - -62?
True
Let q(p) = -p**3 - 6*p**2 - 4*p + 8. Let m(v) be the second derivative of -v**4/2 - v**3/6 + v**2/2 - 9*v. Let h be m(1). Is q(h) a multiple of 16?
True
Let m(f) = -4*f**2 - 60*f - 14. Is m(-7) a multiple of 3?
True
Let v = 3 + 0. Let a(r) = -r**v - r**2 + 1 - 2*r - 3*r**2 - 8. Does 8 divide a(-5)?
False
Suppose 4*c - g + 259 = 699, 218 = 2*c - g. Is 16 a factor of c?
False
Let b = -269 - -772. Is 12 a factor of b?
False
Let b = 861 + -321. Is b a multiple of 15?
True
Suppose 0 = -v + 2*y - 3*y + 664, 1972 = 3*v - 2*y. Let s = -457 + v. Is 51 a factor of s?
False
Suppose 0 = -7*f - 2*f + 9. Does 2 divide (-24)/(-36)*(11 + f)?
True
Suppose a - n = 1763, -a - 5*n + 1227 + 542 = 0. Does 39 divide a?
False
Let g = -129 - -125. Let o(z) = -2*z**3 - 6*z**2 + 2*z - z + 2*z**2. Does 23 divide o(g)?
False
Suppose -9*q - 293 = -833. Is q even?
True
Let q(y) = 2*y**2 - 21*y - 14. Is 6 a factor of q(14)?
True
Suppose -2*o - 119 = 113. Let k = -3 - o. Is k a multiple of 35?
False
Suppose -3*v = -3*z - 3573, 3*v - v + 1188 = -z. Does 17 divide ((-6)/(-7))/((-10)/z)?
True
Let q = -78 - 26. Suppose -4*i - 3*t = -785, 961 = i + 4*i - 3*t. Let p = i + q. Is 19 a factor of p?
False
Is ((-4)/9 - (-150)/(-270)) + 425 a multiple of 13?
False
Suppose 5*r + 62 = -0*u + u, -266 = -3*u - 5*r. Is u even?
True
Let g(l) = -5*l**3 + 4*l**2 + 8*l + 20. Does 26 divide g(-6)?
True
Let g be (-39)/(-15) + (-9)/15. Let q be 3/(((-8)/12)/g). Let r = q + 18. Is r a multiple of 8?
False
Let b(k) = -k - 1. Let o be b(1). Let d be ((-15)/9)/(1/3). Is 20 a factor of (25/o)/(d/10)?
False
Let f(j) = 40*j + 21. Let w be f(-8). Let u = w - -419. Is 22 a factor of u?
False
Is (-3)/45 + 16386/90 a multiple of 13?
True
Let o = 1 + 0. Let x(u) = -u. Let s(m) = -30*m - 10. Let r(d) = o*s(d) - 25*x(d). Does 9 divide r(-10)?
False
Let n = -208 + 292. Is 7 a factor of n?
True
Suppose -4*h + 8 = -4. Suppose 0 = -3*c - h*j + 12, -c - 3*j = -2*c. Suppose 0 = -n + c*q + 19, -15 - 50 = -4*n + q. Is n a multiple of 16?
True
Is (-2 + (-281)/(-2))*(-20 + 42) a multiple of 18?
False
Suppose -107 - 518 = -2*b + 5*t, -5*t + 1265 = 4*b. Does 15 divide b?
True
Let u(x) = -2*x + 6. Let m be u(0). Suppose -i + m*i - 415 = 0. Let t = -11 + i. Does 24 divide t?
True
Let g = 208 + -448. Let b = g - -545. Does 48 divide b?
False
Is 12 a factor of (5324/132)/(1/36)?
True
Let g(z) be the first derivative of -z**4/12 - 8*z**3/3 + 2*z**2 - 7*z + 3. Let w(d) be the first derivative of g(d). Is 9 a factor of w(-11)?
False
Suppose 5*y - 519 = m, 0 = -0*y - 5*y - m + 521. Let o = 78 - 48. Suppose -4*i = 3*z - y, -2*i + z + o = -3*z. Is i a multiple of 7?
False
Let q be (-3 - -52)*(1 - 0). Suppose -8*i - 369 = -937. Let l = i - q. Is l a multiple of 21?
False
Is (-533)/(-26) + 3/(-6) a multiple of 2?
True
Let r = 160 - 30. Suppose d + t = -65, -d = d + t + r. Is (-705)/d - (-4)/26 a multiple of 11?
True
Let r(l) = l - 11. Let j be r(15). Suppose j*u = 28 + 12. Is 10 a factor of u?
True
Suppose 0 = 5*u - 5*c - 2605, 5*u - 8*u - 2*c + 1568 = 0. Does 11 divide u?
False
Let q = -259 + 434. Does 35 divide q?
True
Let f(s) = s**3 + 15*s**2 + 25*s - 10. Let h be f(-12). Does 32 divide h - (-7 + 6/(-1 - -3))?
False
Let a be ((-4)/6)/((-6)/27). Suppose 0 = 3*x + u - a, 3*u + 2*u = -x + 15. Suppose -3*r - 2*r - 5 = x, z - 53 = r. Is 13 a factor of z?
True
Suppose 0 = -20*g + 27*g - 2548. Does 9 divide g?
False
Let v(j) = j**3 - 15*j**2 + 15*j - 16. Let x be v(14). Let c = x + 6. Let r(q) = 2*q**2 + 2*q - 2. Is r(c) a multiple of 10?
False
Let n = 8622 + -3288. Is 127 a factor of n?
True
Let g(u) = -11*u + 24. Suppose -9*a + a = 48. Does 10 divide g(a)?
True
Let s(y) = 12*y**3 + 19*y**2 - 10*y - 18. Is 19 a factor of s(7)?
True
Let z = 185 - 88. Let n = 40 - z. Let r = 87 + n. Is r a multiple of 6?
True
Suppose 4 = -0*c - 2*c + k, -2*c + 5*k - 12 = 0. Let y be -1*((-3)/c - 6). Let j = 10 - y. Is j even?
False
Let v(l) = l**3 + 17*l**2 + 16*l - 38. Let t(y) = -2*y**3 - 32*y**2 - 33*y + 76. Let u(d) = 2*t(d) + 5*v(d). Does 22 divide u(-20)?
False
Suppose 225 = 5*j - 5*k, 0 = -5*k + 2*k + 9. Is 24 a factor of j?
True
Let m = 24 - 21. Let s be 2 - (-204 - 0/(-3)). Suppose -70 - s = -m*t. Is 23 a factor of t?
True
Suppose m - m = m. Does 14 divide ((1 - m/(-1)) + 3)*21?
True
Suppose -3*v + 128 = s, -6*s + 5*v + 370 = -3*s. Suppose -5*f - s + 561 = -4*l, 4*f + 4*l - 320 = 0. Is 14 a factor of f?
True
Let a(l) = 3*l**3 + 4*l**2 + 3*l - 9. Let v(i) = -i**3 + i**2 + 1. Let k(r) = a(r) + 2*v(r). Let h be k(-4). Suppose 4*x = 5*x - h. Does 13 divide x?
True
Suppose -3*y = 4*d - 26, 0 = 3*y + d - 4 - 7. Suppose 3*v - 26 = y*f - 3*f, 104 = 4*f - 3*v. Suppose l + f = 2*l. Is l a multiple of 13?
True
Suppose 2*c - 5*q = 614, -14*c + 10*c = -q - 1264. Is 25 a factor of c?
False
Let w = -224 - -335. Is 37 a factor of w?
True
Let n(y) = -y**3 - 22*y**2 - 28*y - 41. Let r be n(-21). Let z = -51 + r. Does 21 divide z?
False
Let m be (-2)/(-7) + (-2)/7. Suppose m = -u - 0*u - q + 5, 0 = -3*q. Is (-55)/(-4) + u/20 a multiple of 4?
False
Let j(b) = -b**3 - 8*b**2 + 25*b - 10. Let f = 8 + -19. Is 8 a factor of j(f)?
False
Suppose -6*b - 2*b + 4192 = 0. Is b a multiple of 41?
False
Suppose 22*i = 25*i - 57. Is i a multiple of 16?
False
Let y(z) = -2*z**2 + 2*z - 4. Let n be y(5). Let q = n - -96. Is 13 a factor of q?
True
Does 14 divide 2958/(-204)*(-53 - 1)?
False
Suppose 4*r = -s + 255, 0 = 11*s - 6*s - 2*r - 1165. Does 47 divide s?
True
Suppose -25 = -6*n + 5.