be r(1). Suppose -l = -p + 9. Let a = -5 + p. Does 3 divide a?
False
Let j = 76 - -12. Is 22 a factor of j?
True
Suppose 3*t - 3*p + 54 = 0, -2*t - 28 + 0 = 2*p. Is 5 a factor of t/20*(-9 - 1)?
False
Suppose 4*q + 84 = 3*m, -5*m + q = 2*q - 140. Does 14 divide m?
True
Suppose 3*w - 4*j = 74, 0*j - 44 = -2*w + 4*j. Does 15 divide w?
True
Let d(h) = h**3 + 7*h**2 - 3*h - 6. Is d(-7) a multiple of 9?
False
Suppose 0 = -2*v - 3*v + 135. Does 9 divide v?
True
Suppose j - h - 8 = 0, -4*j + 7*h - 2*h = -34. Suppose -3*d + 16 = 4*b - 17, 0 = -2*b + j. Does 4 divide d?
False
Suppose -j - 201 = -8*z + 3*z, -3*j = -5*z + 203. Is 20 a factor of z?
True
Let v = 17 + -10. Does 2 divide v?
False
Suppose 5*x - 28 = -v, -4*v = -3*v - 3. Is 2 a factor of x?
False
Is 25/1 + 50/(-25) a multiple of 4?
False
Suppose 3*p - 309 = -33. Let u(o) = 2*o**2 - o. Let j be u(-1). Suppose q + p = j*q. Does 23 divide q?
True
Suppose -32 + 2 = -2*t. Is t a multiple of 2?
False
Let v(p) = p**3 + 12*p**2 + 11*p + 12. Let a be v(-10). Suppose -150 - a = -4*s. Does 21 divide s?
True
Let j be 14/4*(-4)/(-7). Suppose -7*c = -j*c - 3*s - 18, -c + 2*s + 5 = 0. Does 2 divide c?
False
Let v be (22/4)/(6/108). Let h = v - -2. Suppose -4*k = -3*l + 6*l - h, 0 = -2*k - 3*l + 55. Is k a multiple of 17?
False
Is 1322/5 - 4/10 a multiple of 15?
False
Suppose -3*f = -3*h - 6, -5*f - h + 4 + 30 = 0. Suppose -36 = -5*m - f. Does 3 divide m?
True
Let r(h) = -7*h**2 - 7*h - 1. Let a(w) = 4 + 0 - 5 - w - w**2. Let g(o) = 5*a(o) - r(o). Is g(-3) a multiple of 4?
True
Suppose -11 - 4 = -o - 4*p, 0 = o + 2*p - 9. Let x be 1*(-1 - 0) + o. Suppose -37 - 31 = -x*m. Is 14 a factor of m?
False
Suppose -2*p = -6*p + i + 564, 0 = -4*p - 5*i + 564. Suppose 10*l - 7*l - p = 0. Is 25 a factor of l?
False
Suppose -3*j - 4*g = -6*j + 74, -3*j + 81 = 3*g. Does 9 divide j?
False
Let s = 9 - 6. Suppose -3*k = s*w - 0 - 57, 40 = 4*w - 5*k. Suppose -w + 55 = 5*l. Is 8 a factor of l?
True
Let i = -68 + 42. Suppose 15 = -6*k - 51. Let s = k - i. Is s a multiple of 8?
False
Let b = 11 - -36. Is 7 a factor of b?
False
Does 19 divide (-36)/162 - (-1190)/9?
False
Suppose 5*g = 4*r + 19 + 1, -5*g = -2*r - 10. Suppose g = -5*u - 20, -p + 25 = -3*u - 8. Is p a multiple of 13?
False
Let t = -111 - -221. Is 11 a factor of t?
True
Let f(g) = -2*g + 1 - 5 + 3. Let t be f(-3). Suppose t*q = 9 + 21. Is q a multiple of 3?
True
Suppose -1 = -2*k + 21. Is k a multiple of 11?
True
Let o(i) = i**3 + 7*i**2 + 7*i + 7. Let r be o(-6). Suppose 36 - r = 5*w. Is w even?
False
Let d = -5 + 14. Suppose 3*x - d = -3*k, x = -3*x + 8. Is 19/((-1)/2 + k) a multiple of 19?
True
Suppose 0 = a + 3*s + 7 - 19, 18 = 4*a + 2*s. Suppose n + 0*z + a = -3*z, 4*n + 2*z - 28 = 0. Is 4 a factor of n?
False
Let n(o) = -3*o + 33. Let j(y) = -2*y + 22. Let p(c) = 8*j(c) - 5*n(c). Is p(0) a multiple of 11?
True
Suppose 0 = 5*f - 3*y - 13, 3*y = -5*f + 4*y + 21. Suppose 33 - 3 = -f*g. Let n = g - -13. Does 7 divide n?
True
Let c(n) = -2 + 1 - 4*n - 1 - 1. Does 12 divide c(-7)?
False
Let d(y) = 5*y**3 + y**2 + 2*y + 5. Is d(3) a multiple of 23?
False
Suppose -k = 3*k - 24. Let o(c) = 2*c**2 - 5*c - 4. Is o(k) a multiple of 16?
False
Suppose 5*f - 14*f + 540 = 0. Is f a multiple of 7?
False
Let q be 12*-1*(-8)/3. Is q/(-6)*3/(-2) a multiple of 8?
True
Let l(g) = 8*g - 12. Let j = 15 - 10. Is l(j) a multiple of 7?
True
Let u = 5 + -4. Is 6 a factor of 18/u*(-52)/(-39)?
True
Let h be ((-18)/(-8))/(1/24). Let r = -34 + h. Is r a multiple of 10?
True
Suppose -2*u + 5 - 1 = 5*z, -5*z + 4*u + 22 = 0. Suppose a + z*a - 63 = 0. Let s = a - 9. Is 4 a factor of s?
True
Let b = -2 - -7. Suppose -q + 22 = -b*d, -d - 6 = q - 2*q. Suppose -2 = q*g + 2*o, -2*g - 2*o = -4*o - 14. Does 3 divide g?
True
Let n(s) = 2*s**2 - s + 1. Let g be n(1). Is (6/15)/(g/30) a multiple of 5?
False
Let t = -8 - -8. Suppose 2*j + 3*z - 39 = t, 2*j + 33 = 4*j + z. Is j a multiple of 14?
False
Suppose v + 4*i - 22 = 0, 11 = -2*v + 5*i - 2*i. Let b = v - 0. Suppose 0*n + b*h = 4*n - 26, -5*h - 17 = 2*n. Is 4 a factor of n?
True
Suppose -2*s - 8 = 0, -s - s + 331 = 3*t. Is t a multiple of 40?
False
Let h(c) = c**3 - 5*c**2 + c + 1. Let n(m) = -m**3 - m**2 - 2*m - 3. Let g be n(-2). Does 6 divide h(g)?
True
Let p(u) = -u**3 - u**2 + 378. Let l be p(0). Is l/12 - 1/2 a multiple of 31?
True
Let c be (-2)/(((-6)/(-37))/(-3)). Suppose -8 = -3*h + c. Is 5 a factor of h?
True
Suppose 4*l = -12, j + 3*l + 14 = 6*j. Let c(f) = -9*f - j + 2*f - 2*f. Is c(-1) a multiple of 4?
True
Let u be (5 - 1)*(-63)/4. Does 8 divide u/(-5) - (-2)/5?
False
Let f(b) = -b - 3 - 2*b + 4*b. Let h be f(5). Suppose 3*o = -h*o + 55. Is 11 a factor of o?
True
Let k(o) be the third derivative of o**4/12 + o**3/6 + 11*o**2. Suppose h + 4*h - 5*s = 20, 5*h + 4*s - 29 = 0. Is 3 a factor of k(h)?
False
Let m = 0 + 4. Suppose 4*x = -3*h + 48, 5 = -3*x - m. Is 5 a factor of h?
True
Let r = 23 - 52. Let i = r - -51. Is 11 a factor of i?
True
Let f(h) = 25*h - 33. Is f(5) a multiple of 20?
False
Suppose -3*v + 9*b - 4*b + 149 = 0, -5*v - 4*b = -236. Is 24 a factor of v?
True
Suppose 5*f = -203 + 68. Let n be 6/27 - (-6)/f. Suppose -5*o + n*o + 195 = 0. Does 13 divide o?
True
Suppose -5*i + 52 = w, w - 30 = 2*i - 5*i. Is i a multiple of 10?
False
Let o = 60 - 10. Is 22 a factor of o?
False
Suppose -11 = -2*j + 3. Suppose 5*h = j*h - 30. Is 15 a factor of h?
True
Let x(u) = u**3 + 4*u**2 + 3. Let v be x(-4). Suppose 8 = v*h + 53. Let w = h - -45. Is 15 a factor of w?
True
Let o = 18 + 2. Let q(x) = x - 1. Let a be q(3). Suppose -5*z + 3*h - 4*h = -11, a*h + o = 4*z. Is 3 a factor of z?
True
Suppose 0 = -4*i - v + 1744, 2*i - 309 = 4*v + 581. Does 20 divide i?
False
Let m(r) = -27*r**3 - 2*r**2 - r. Is 18 a factor of m(-1)?
False
Let s = 6 - 3. Let a(q) = q**2 + 5*q - 5. Let h be a(-8). Suppose 27 = 2*l - 3*u - h, -115 = -5*l - s*u. Does 12 divide l?
False
Suppose -3*g = g + 12. Is 24 a factor of (0 - 1)*(g + -58)?
False
Let d(f) = -3*f + 0 - 6 + 5. Is d(-7) a multiple of 17?
False
Suppose 51 = 4*n - 3*q, -1 = 3*n + 4*q - 8. Is 9/(-6)*(-42)/n a multiple of 2?
False
Let a(r) = -r**2 + 11*r - 14. Let q be a(9). Does 4 divide -9*4*(-2)/q?
False
Suppose 7*l - 13 = 127. Is 4 a factor of l?
True
Suppose 2 = -2*c + 6. Suppose -5*p = -3*q - 52, 0 = -3*q - c*q + 5. Does 11 divide p?
True
Let j(r) be the second derivative of r**5/20 + 5*r**4/12 + r**3/2 + 5*r**2/2 + 3*r. Suppose -m = -p - 0 - 2, 22 = -3*p - 5*m. Does 9 divide j(p)?
True
Let d(v) = 14*v + 2. Suppose 3*n + 21 = 3*t, 3*t + 2*t + 4*n = -10. Does 15 divide d(t)?
True
Suppose x - 5 - 40 = 0. Is 15 a factor of x?
True
Suppose -4*h - 2*o + 6 = 0, 2*h = -3*o - 0*o - 7. Suppose r - 3*m - 14 = m, h*m + 102 = 5*r. Is r a multiple of 5?
False
Let g(k) = -7 + 4*k - 8*k + 5*k. Is 5 a factor of g(12)?
True
Let i(a) = -2*a + 6. Let f be i(3). Suppose 0*g + 2*g - 64 = f. Is 12 a factor of g?
False
Let j(x) = x**2 + 6*x - 1. Let z be j(-6). Let h(n) = -16*n - 1. Is 15 a factor of h(z)?
True
Let n = 240 - -27. Is n a multiple of 21?
False
Let m(d) = -d**3 - 4*d**2 + 2*d + 5. Let v be m(-4). Let z = v - -49. Is 24 a factor of z?
False
Suppose -3*g - 5*g + 160 = 0. Is 17 a factor of g?
False
Let l = -13 + 93. Is l a multiple of 13?
False
Let i(t) = t**2 + t + 29. Let s be i(0). Suppose s = 2*u - 9. Suppose -q + u = -18. Does 13 divide q?
False
Let b(n) = -3*n + 2*n - 6*n. Let s be b(-11). Let d = s + -51. Is 11 a factor of d?
False
Let t = 106 + -52. Does 3 divide (t/(-24))/((-6)/16)?
True
Suppose 0*s = 2*s. Suppose 4*l + 2*p + p - 123 = s, 3*l + p = 96. Does 8 divide l?
False
Suppose 0 = -4*v + 6*v - 156. Suppose -2*r + v = c, -r - 3*r + 72 = c. Does 28 divide c?
True
Let w(q) = q**2 + q + 234. Let l be w(0). Suppose -7*h + l = -4*h. Is 24 a factor of h?
False
Suppose -2*u - 48 = -3*u. Does 8 divide u?
True
Is 1782/(-24)*3/(-9)*8 a multiple of 41?
False
Does 2 divide (-2)/(-3)*(-10 + 40)?
True
Let u(q) = -q**3 + 16*q**2 - 14*q - 18. Does 53 divide u(14)?
False
Suppose 2*s + 28 + 13 = -5*v, 0 = 4*s - 8. Let y = v - -8. Is 18 a factor of y + (-3 - -50) + -3?
False
Suppose -10 = -4*z - 5*w - 40, -10 = 4*z - 5*w. Let j be 2 + 2 - (-5)/z. Suppose 2*t = b - 28, -b - 60 = -j*b + 5*t. Is 10 a factor of b?
True
Let 