(u) be the first derivative of -u**4/4 - 2*u**3 + 9*u**2/2 - 5*u - 5. Let a be b(-7). Let g = a + 24. Is 5 a factor of g?
True
Let y(g) be the third derivative of -5*g**4/24 - 13*g**3/2 + 2*g**2. Does 8 divide y(-19)?
True
Let l be (-165)/9 - -4 - (-2)/(-3). Does 6 divide -1*(-45 - l/5)?
True
Let s(f) = -4*f - 4 - 28*f - f. Suppose 2 = -h - 0*h. Is s(h) a multiple of 19?
False
Suppose -j = 4*d + j - 280, 0 = -2*j. Let n = -46 + d. Is 8 a factor of n?
True
Suppose -j - 25 = -s - 2*j, -3*j = -5*s + 141. Suppose n - 48 = s. Is n a multiple of 31?
False
Does 25 divide (-1 + -9)/(8/(-180))?
True
Suppose -6*r + 7935 = 591. Suppose 4*t - 1236 = -5*b, -4*b + r = b + t. Is 41 a factor of b?
False
Suppose 432 = -258*h + 260*h. Is 6 a factor of h?
True
Let u(t) = -t**3 + 54*t**2 - 50*t + 305. Is u(52) a multiple of 17?
False
Let f = 101 - 95. Is 3/(-2) - ((-1719)/f + -3) a multiple of 32?
True
Let k(t) = t**3 - t**2 - t + 29. Let h be k(0). Let d = 70 - h. Is d a multiple of 11?
False
Suppose 4*b - 170 = 5*t, 0*b + 102 = -3*t + 3*b. Let g be (-2)/4*(t + 0). Let n = g + -15. Is n a multiple of 2?
True
Let t(k) be the first derivative of k**4/4 - 2*k**3/3 - k**2/2 - k - 3. Let l be t(3). Suppose l*u + 31 = 4*b, -u - 2 = 1. Is 2 a factor of b?
True
Let o(u) = 2*u**2 + u + 1. Let m be 21/(-28) + 1/(-4). Let y be o(m). Suppose 4*r + 68 = 4*d, -7*d + y*r + 97 = -2*d. Is 7 a factor of d?
True
Suppose -17*d = -10*d - 42. Suppose d*z - 7*z = -143. Is z a multiple of 14?
False
Suppose 0 = 3*f - 5*f + 4*c + 480, -2*f - 3*c = -494. Is 5 a factor of f?
False
Let x = 69 - -594. Suppose 276 = 2*h - 7*k + 2*k, 5*h = -k + x. Is h a multiple of 19?
True
Let t(m) = 13*m**2 - 2*m. Let j = -56 + 61. Is t(j) a multiple of 37?
False
Let o be 22/(-18) + 10/45. Let f(w) = 10*w**3 + 1. Let v be f(o). Let d(t) = -t**2 - 10*t - 3. Is 6 a factor of d(v)?
True
Let t be ((-14)/5)/(2/(-10)). Let i = t - 4. Is 15 a factor of (8/i)/((-9)/(-675))?
True
Does 8 divide (-4)/((-16)/(-542))*(-20)/10?
False
Suppose 17*s - 4359 + 75 = 0. Does 4 divide s?
True
Suppose 0 = -36*x + 59431 - 17311. Is 10 a factor of x?
True
Let a(z) = 9*z**2 - z - 10. Does 29 divide a(-12)?
False
Suppose -12 = -4*m - 2*d - d, 0 = -3*m - 4*d + 9. Suppose 2*z + 3 = n + 9, 0 = -n + m*z - 10. Does 12 divide (384/36)/(n/3)?
False
Let n be -15*(4/(-12))/(-1). Let q(i) = -i**3 - 3*i**2 + 7*i + 9. Does 4 divide q(n)?
True
Suppose -2*c + 0*b - 12 = 3*b, 0 = 4*b. Let g(o) = o**3 + 6*o**2 + 5. Let d be g(c). Suppose 3*w - 76 = -d*x, 6*x - 131 = -5*w + 2*x. Does 9 divide w?
True
Let h = -5 + 7. Suppose g - 5 + 47 = 0. Let q = h - g. Is q a multiple of 32?
False
Is 8 a factor of (9 + -6 + -99)*2/(-4)?
True
Suppose 26 = x + 2*x - 5*i, 4 = -i. Suppose -4*z + 2*g = -x*g - 40, -4*z - g + 65 = 0. Is 15 a factor of z?
True
Let p(j) = j**3 + 30*j**2 + 17*j + 112. Is 46 a factor of p(-29)?
True
Suppose -4*k - 5*a + 988 = 0, -5*k + a = -2*a - 1198. Let d = -162 + k. Does 32 divide (36/5)/(6/d)?
True
Let d = 138 - 93. Suppose 2 - 8 = -3*c. Suppose -5 = -z - j - 0*j, -c*z + d = -5*j. Is z a multiple of 10?
True
Let t = -30 - -23. Let y(m) = -m**3 - 3*m**2 + 15*m - 15. Is 19 a factor of y(t)?
True
Suppose 2*f + 12 = f - 4*i, i + 3 = 3*f. Suppose 2*a + l - 380 = -a, 3*a - 5*l - 386 = f. Let z = -73 + a. Is 27 a factor of z?
True
Let p(v) = -v**3 - 6*v**2 - 8*v - 5. Suppose -m - 3 = 0, 4*m + 8 = 3*j - 13. Suppose j*a = -5*q - a - 37, q + 5*a = -20. Is p(q) a multiple of 10?
True
Suppose 125*n - 583032 = 16468. Is n a multiple of 11?
True
Suppose -706 = -4*t - 2*d, -3*t + 411 = -d - 106. Is 16 a factor of t?
False
Let i = 1755 + -582. Is 51 a factor of i?
True
Suppose -3879 = -13*j + 749. Is 11 a factor of j?
False
Let p(k) be the second derivative of k**4/12 + 2*k**3 - 13*k**2/2 + 15*k. Is p(7) a multiple of 24?
True
Suppose 12*c - 13*c = 5*g - 4177, -3*g + c = -2511. Does 19 divide g?
True
Let d = -88 - -200. Is 16 a factor of d?
True
Suppose -7 = 2*v - 15. Suppose -y + 16 = -3*y - 4*z, -3*y = -z - 11. Suppose v*a - 109 = -3*n + y*a, 0 = -3*n - 3*a + 111. Is n a multiple of 17?
False
Let c(v) = 10*v**3 + 3*v + 1. Is 28 a factor of c(3)?
True
Suppose -g - 5*x - 89 = 0, 9*g - 4*g - x + 393 = 0. Let d = g - -135. Does 8 divide d?
True
Is (4 + 4204/(-28))*-7 a multiple of 11?
True
Let f = -144 - -183. Does 4 divide f?
False
Let v be ((-10)/4 - -3)*392. Suppose 0 = 2*a + p - 4*p - 129, -4*p = -3*a + v. Is 16 a factor of a?
False
Let y(v) = v**3 + 9*v**2 - 6*v + 13. Let d be y(-10). Suppose -57*z = -52*z - 30. Let c = z - d. Is c a multiple of 11?
True
Let n(c) = c**2 - 4. Let t(g) = -3*g**2 + 9. Let h(m) = -13*n(m) - 6*t(m). Let o be h(2). Let j = o - -42. Is 33 a factor of j?
False
Let z = 23 + -34. Is (-12)/(-66) + (-218)/z a multiple of 10?
True
Is -31 + 432 + 1 + -6 a multiple of 11?
True
Let n(t) = 7*t**2 + 159*t + 906. Is 12 a factor of n(-6)?
True
Let l(g) = 3*g - 4. Let k be l(5). Suppose -4*a - 441 = -k*a. Is 11 a factor of a?
False
Does 42 divide ((-80055)/(-180))/((-3)/(-4) + 0)?
False
Let k be -2 - ((3 - -1) + -10). Suppose -k*m + 4 = -2*m. Suppose -10 = -m*f, 3*d - 3*f - 54 = -0*d. Does 23 divide d?
True
Let b = 113 - 87. Is 5 a factor of b?
False
Does 13 divide (69/23 - 2*-9)*7?
False
Is -4 + (4*(-8795)/(-20) - -1) a multiple of 19?
False
Let s(a) = -a**2 - 11. Let u be s(11). Is 5 a factor of (-4)/16 - u/16?
False
Let w = 39 - 15. Let i = w + -8. Let n = 4 + i. Does 20 divide n?
True
Suppose 39*n - 17316 = 13*n. Is 18 a factor of n?
True
Let b(s) = -38*s - 163. Is b(-9) a multiple of 25?
False
Let b = 7407 - 3403. Is 14 a factor of b?
True
Suppose -9 + 15 = 2*q. Does 13 divide (q/9)/((-1)/(-642))?
False
Let n(r) = -2*r**3 + 2*r**2 + 528. Is 22 a factor of n(0)?
True
Let v(r) = 14*r - 1. Let b be v(2). Let g be (b/(-6) + 4)*-8. Suppose -4*f - 39 = -c, 8*c - g*c + 3*f - 99 = 0. Is c a multiple of 9?
True
Let p(m) = -3*m + 12. Let b = 27 + -17. Suppose -b = 4*g - 3*g. Is p(g) a multiple of 14?
True
Let q = -13 + 15. Is (0 + 40/(-5))/(q/(-4)) a multiple of 4?
True
Suppose -58*h + 62*h - 2103 = 3*g, -5*h = g - 2605. Is 29 a factor of h?
True
Suppose 1 = -5*j + 3*p - 8, 5*j - 2*p = -6. Suppose 5*c - 4 - 11 = j. Suppose g = -g, -c*l + 30 = 3*g. Is 10 a factor of l?
True
Suppose -6*h + 8 = 2*h. Let m be (-6)/(-2)*h + 0. Suppose 2*k + 5*n - 28 = m*n, -5*n = -5*k + 60. Does 8 divide k?
False
Does 91 divide -63*(-6 - (-896)/(-24))?
True
Suppose 0 = -5*d - 4*d + 1350. Does 15 divide d?
True
Let s be 6/(-4)*8/(-3). Suppose -s*m + 409 = -971. Is 37 a factor of m?
False
Let v = -3 + -18. Is 4/(-6)*v/2 a multiple of 6?
False
Let r be 155/(-15)*(-6)/2. Suppose -r = b - 131. Does 10 divide b?
True
Let v(q) = 22*q**2 - 2*q - 3. Let i be v(-3). Suppose -i = -5*j + 249. Is 18 a factor of j?
True
Suppose -3*b = 2*b - 350. Suppose 0 = -4*s - b + 246. Let d = s + -31. Is d a multiple of 2?
False
Let u(r) = -3 + 10 + 5 - 8*r. Let x be u(3). Let s(n) = n**3 + 13*n**2 + 8*n + 10. Is 29 a factor of s(x)?
True
Let o be ((-25)/15 + 1)*12. Let k(d) be the first derivative of -d**4/4 - 8*d**3/3 - 2*d**2 + 2*d - 2. Is k(o) a multiple of 17?
True
Let g(c) = -c**3 + 23*c**2 - 10*c - 56. Is g(21) a multiple of 14?
True
Suppose 0 = 14*n + 6149 - 43333. Is n a multiple of 22?
False
Suppose 0 = -3*q - c + 11, 6 = -3*q - 5*c + 13. Suppose 2*r = q, 0*r = -l - r + 56. Is l a multiple of 7?
False
Is 15 a factor of (1 - -2)/(12/2020*1)?
False
Let c(a) = a - 6. Let r be c(8). Let d be (-2)/(-6) - r/6. Suppose i - 3*i + 18 = d. Is 9 a factor of i?
True
Suppose 0 = -4*u + 20, -7*t + 10*t = -3*u - 51. Is 8 a factor of t + 20 + 43*5?
False
Let t = 62 - 46. Let o(g) = 6*g - 16. Is o(t) a multiple of 22?
False
Let s(u) = 10*u**2 - 21*u - 427. Is 33 a factor of s(-20)?
True
Let p(z) = z**3 + 5*z**2 - 9*z + 56. Does 8 divide p(7)?
False
Suppose -2*y + 99 = -29. Does 2 divide y?
True
Let s = 7 - -50. Does 28 divide (-2*3)/(s/(-646))?
False
Let g = -10 + 33. Suppose 0 = 3*u + r + g, -2*r + 0*r = -3*u - 8. Is 185/3 - (-4)/u a multiple of 22?
False
Suppose 0 = -5*k + 5*n + 1550, -4*n = 3*k - k - 590. Is 23 a factor of k?
False
Suppose 2*u - 4*q - 1383 = 719, -5*u + 5*q + 5240 = 0. Is 3 a factor of u?
False
Let i = 10 + -5. Suppose -18 = -i*x - 13. Let m = 6 - x. Is 5 a factor of m?
T