e
Suppose 4*x - 5*i = -0 + 3, 4*x = 2*i + 6. Is 16 + (2 - x - 1) a multiple of 5?
True
Let t be 3*(-1*2)/(-2). Suppose -t*u - 3*k + k + 7 = 0, -5 = 5*k. Is u a multiple of 3?
True
Let y(k) = 4*k - 9. Is y(4) a multiple of 7?
True
Let g(s) = -18*s**3 - s**2 - 7*s - 1. Let z(f) = -6*f**3 - 2*f. Let x(v) = 2*g(v) - 7*z(v). Suppose 3*c + c = 8. Is x(c) a multiple of 19?
True
Let t = -8 - -13. Suppose -t*p + 53 = 8. Does 9 divide p?
True
Does 10 divide 30*((-16)/(-12))/4?
True
Let r(v) = -v**3 + v + 13. Let a be 1/4 + 10/(-8). Let u = a + 1. Is r(u) a multiple of 13?
True
Suppose -2*y + 11*y = 1386. Is 14 a factor of y?
True
Suppose -2*w + 2*x = x - 387, 0 = -3*w + 2*x + 579. Suppose 10*s = 15*s - w. Is 13 a factor of s?
True
Does 14 divide 0*(-3)/(-24) + (1 - -63)?
False
Let y be (3/9)/((-3)/(-27)). Suppose 0 = -3*v + 3*j + 189, -j + 324 = 5*v - y*j. Suppose -v = -5*i - 6. Does 6 divide i?
True
Suppose 0 = 4*u - 21 + 5, 3*v + 14 = -u. Suppose -2*h + 12 = -2*g, 2*h - 2*g = -7*g + 47. Let s = v + h. Does 2 divide s?
False
Suppose 0*z = 5*z + 115. Let b = -8 - z. Let w = b - -19. Is w a multiple of 17?
True
Let p(b) = b**3 - 9*b**2 - 5*b - 17. Is p(10) a multiple of 11?
True
Let n = -24 - -61. Is 11 a factor of n?
False
Suppose 5*j = -15 + 185. Is 17 a factor of j?
True
Suppose -w - 12 = 28. Let z be (-1)/1 - (-71)/1. Let q = w + z. Does 14 divide q?
False
Let f(k) be the second derivative of 1/12*k**4 + 15/2*k**2 + 11/6*k**3 - 4*k + 0. Is 5 a factor of f(-11)?
True
Let r = 48 + -11. Is r a multiple of 7?
False
Suppose 140 + 20 = 5*f. Does 14 divide f?
False
Let i(q) = -2*q + 17. Does 3 divide i(7)?
True
Let a(t) = t**3 + 10*t**2 + 8*t - 4. Let w be a(-9). Suppose b + 0 + 5 = 5*d, -3*d = b + w. Suppose -5*v + z + 158 = d, -3*v - z = z - 100. Is 17 a factor of v?
False
Let s(u) = 3*u**2 - 7*u + 5. Does 41 divide s(-6)?
False
Let k(w) = -w**3 - 5*w**2 + 7*w + 7. Suppose 0*c + 6 = -c. Let s be k(c). Let x = 2 + s. Is x even?
False
Suppose 6*q - 18*q + 1020 = 0. Does 30 divide q?
False
Let q = -4 + -2. Let s = 8 + q. Suppose i = -5, -5*l - i + s*i = -45. Does 4 divide l?
True
Suppose -5*q = 2*p + 21, 3*p + 2*q = 2*p - 9. Is 0 + p - -3 - -21 a multiple of 7?
True
Let z(k) = -89*k**3 - k**2 + 1. Is 61 a factor of z(-1)?
False
Is 15 a factor of (-8)/(20/5) + 147?
False
Suppose g + 4*v = 2*g - 26, 3*v = -5*g + 222. Suppose -2*j + g = 10. Suppose 4*s - 2*h - j = 20, s = 3*h + 19. Does 3 divide s?
False
Let z be 564/(-8) + 1/2. Let y = -107 - z. Let h = y + 52. Does 15 divide h?
True
Suppose -2*o - 10 = 3*o. Suppose 0 = 3*j - j - 12. Does 3 divide (o/j)/((-3)/36)?
False
Let o = 56 - 15. Let b = -10 + o. Is b a multiple of 14?
False
Let h be -3*2/(-15)*10. Suppose 0*g - g = -30. Suppose h*a - a = g. Is a a multiple of 5?
True
Suppose -5*i - 1 + 26 = t, -3*t = 2*i - 23. Let h = -5 + t. Suppose -k = -2, h*k = 2*m - k - 32. Does 11 divide m?
False
Suppose -5 = g, -5 - 2 = -s + g. Let z be s/7 + 19/7. Suppose 0 = 7*l - z*l - 32. Is l a multiple of 8?
True
Let r(m) = m**3 + m + 4. Let b = 7 + -4. Does 15 divide r(b)?
False
Suppose 4*f = q + 2 + 2, 5*f = 4*q - 17. Is q a multiple of 8?
True
Let x(g) = 41*g**3 - g**2 + g + 1. Let l be x(2). Let b be (-3)/6 - l/(-2). Suppose -4*z - 7 = 5, 0 = 5*c - z - b. Is 16 a factor of c?
True
Let l(g) = g**2 - 3*g + 2. Let j be l(3). Let h(q) = -3*q - q + 2*q**j + 3 - 2. Does 6 divide h(3)?
False
Let x = -7 + 3. Let s(u) = u**2 + u**2 + 0*u**2 - 1 + 4*u. Does 9 divide s(x)?
False
Suppose 5*c + 2 = -2*f, 2*f = c + 3*c + 16. Let t(n) = 12*n**2 - 17*n - 23. Let q(l) = -4*l**2 + 6*l + 8. Let w(y) = 8*q(y) + 3*t(y). Is w(f) a multiple of 14?
False
Suppose 3*b + 2*q - 7*q = 191, -b + q + 63 = 0. Let d = b + -35. Let f = d - 11. Is f a multiple of 8?
True
Let x(v) = -v**3 - 11*v**2 - 12*v + 10. Let s be x(-10). Suppose -3*u + s = -u. Is u a multiple of 12?
False
Let i(k) = 4*k**2 - 15*k + 33. Is 13 a factor of i(8)?
True
Let z(n) = n**3 - 6*n**2 - 2*n + 7. Does 14 divide z(7)?
True
Let j(r) = -r**3 + 6*r**2 + 8*r + 5. Suppose -3*g + 2*g + 7 = 0. Is 6 a factor of j(g)?
True
Is 2 a factor of (-51)/(-6) + (-12)/8?
False
Suppose -p - 100 = -5*p. Does 15 divide p?
False
Suppose -4*c = -c + 81. Does 2 divide (-1)/(-4 + c/(-7))?
False
Let o(y) be the first derivative of y**4/2 + y**3/3 + 2*y**2 + 3*y - 1. Let k be o(-2). Let g = k - -31. Is 6 a factor of g?
False
Let t(k) = k**2 - 4. Let f be t(2). Let r = 20 + f. Is r a multiple of 20?
True
Is ((-66)/(-9))/((-2)/(-9)) a multiple of 11?
True
Let t be (-4)/3*-3 - -1. Suppose 0 = t*j - 110 - 10. Let w = j - 12. Is 6 a factor of w?
True
Let k(b) = -b**3 + 5*b**2 - 5*b + 3. Is 10 a factor of k(-3)?
True
Let d = 5 + 0. Suppose -4*t - d = -41. Suppose -5*x = -11 - t. Is x even?
True
Suppose -3*a - 882 + 120 = 0. Let v = 15 - 21. Does 21 divide v/18 - a/6?
True
Suppose 2*u = 3*d + 3 - 15, u - 20 = -5*d. Suppose 3*c + 13 = 3*s + d*c, 2*c = -5*s + 23. Suppose -2*i + 4 = -s*y - 30, 10 = 2*i + 3*y. Does 8 divide i?
False
Let d(y) = y - 4. Let n be d(11). Suppose -n*o = -12*o - 30. Let q(b) = -b**2 - 7*b + 6. Is 4 a factor of q(o)?
True
Let h(s) = s**2 + 2*s + 1. Suppose -t + 13 = -3*t - 5*c, -5*c = 3*t + 7. Suppose 2*y = -y + t. Is h(y) a multiple of 9?
True
Let p(f) = -8*f**3 - 3*f**2 - 2*f. Let v be p(-2). Let q = v - 20. Does 13 divide q?
False
Let t(l) = -3*l - 6. Let w be t(7). Is 6 a factor of (18/w)/((-2)/105)?
False
Let o(b) = -b**2 - 17*b - 22. Is 8 a factor of o(-15)?
True
Let n = 303 - 118. Suppose 0 = d + 4*d - n. Does 20 divide d?
False
Let h = -32 - -120. Suppose -16 = t - h. Does 24 divide t?
True
Let p(r) be the first derivative of -7*r**5/60 - 2*r**3/3 - 1. Let d(m) be the third derivative of p(m). Is 14 a factor of d(-2)?
True
Let k = 40 + -10. Suppose -3*y = 2*y - 3*g + 10, 0 = -y + 2*g - 2. Let z = y + k. Is z a multiple of 14?
True
Suppose -2*z + 167 = -85. Is 14 a factor of z?
True
Is 17 a factor of (-15)/3*(-17)/5?
True
Suppose 2*h - r = -22, -3*h - r = -2*r + 31. Is 7 a factor of (-3)/h - 62/(-3)?
True
Suppose 4*s - 4*y - 44 = 0, -2*y + 40 = 4*s - 5*y. Suppose 0*t - s = -t. Suppose -19 = -b + 3*m + 2*m, b = -m + t. Does 9 divide b?
True
Suppose -3*b + 5*b - 188 = -2*j, -3*b = j - 102. Is j a multiple of 5?
True
Let f(h) = h**2 - 21. Is 30 a factor of f(-9)?
True
Let l(j) = j**3 - 5*j**2 - 2*j - 15. Is l(7) a multiple of 13?
False
Let c be (-1)/(3 + 16/(-5)). Let l = 33 - c. Is 11 a factor of l?
False
Suppose -6 = -0*f - 3*f. Does 10 divide ((-4)/(-8))/(f/40)?
True
Let g = 130 - 44. Is 6 a factor of g?
False
Suppose 73 = l - 176. Suppose -l - 16 = -5*s. Is 30 a factor of s?
False
Suppose -168 = -4*f - 4*k, f - 5*k = 95 - 35. Is 20 a factor of f?
False
Suppose -2*o = 4*a - 118, a + 3*a = 5*o - 295. Is o a multiple of 10?
False
Suppose 2*p = 5*d + 87, p - 5*d + 235 = 6*p. Let b = -30 + p. Is b a multiple of 5?
False
Suppose 2*c = 5*c - 291. Is c a multiple of 27?
False
Let q(j) = j**3 - 10*j**2 + 10*j - 12. Let h be q(9). Let k = h - -16. Does 3 divide k?
False
Suppose 0 = -7*b + 3*b + 68. Does 7 divide b?
False
Let q be (2 + -3)/1 + 20. Suppose 0 = 2*h - 91 + q. Is 18 a factor of h?
True
Let z(p) = -9*p - 18. Is z(-6) a multiple of 20?
False
Let f = 1 - -145. Is 18 a factor of f?
False
Is (6/(-3))/(-1) + 18 a multiple of 20?
True
Suppose f - 269 = -t, -4*t = -2*f + 3*f - 1088. Is 39 a factor of t?
True
Let s(p) = -p**2 - 5*p + 6. Let r be s(-6). Suppose -2*z - 2 - 2 = r, 26 = 2*k + 2*z. Does 5 divide k?
True
Let f be 3/6*-2 - 0. Let u = f - -6. Suppose u*w + 175 = 5*r, -3*r - w + 89 = 4*w. Does 16 divide r?
False
Let p be (0/3 - 0)*1. Suppose -5*l - s + 127 = 3*s, p = 4*s - 12. Let n = l + -13. Is 5 a factor of n?
True
Let s(g) = -g**2 - g + 3. Let j be s(0). Suppose -4*t + 31 = -j*t. Does 12 divide t?
False
Let n be 2 + -9 - (-8)/2. Does 9 divide 11 + (9/n - -1)?
True
Is 20 a factor of (2 - 7)*(-19 - (-1 - -2))?
True
Let l(o) = o - 13. Let u be l(14). Suppose 0 = 3*v - 3*i + 4*i + u, -3*i + 15 = 0. Is ((-94)/6)/(v/6) a multiple of 12?
False
Let q be (3 - (-1 - 0))*3. Let y(d) = -d**2 + 11*d + 10. Let b be y(q). Let o = 4 + b. Is o even?
True
Let x(k) = 50*k - 2. Is 12 a factor of x(1)?
True
Let c(v) = -v**2 - 9*v - 10. Let m = -16 - -9. Let x be c(m). Let b(q) = q**3 - 3*q**2 -