5. Let x(m) = -m**3 + 7*m**2 - 7*m + 1. Let q be x(b). Suppose -24 = -4*y + q. Does 4 divide y?
False
Let q = 8 + -5. Suppose 0 = a - q*a + 34. Is a a multiple of 17?
True
Let g = 101 - -70. Is g a multiple of 13?
False
Suppose 9*g = 5*g + 232. Does 3 divide g?
False
Let d = -5 + 11. Suppose -d*l + 66 = -3*l. Suppose -5*m + l - 2 = 0. Is 2 a factor of m?
True
Let c be 894 - (0 + 9/3). Is (-1)/(-4) - c/(-36) a multiple of 20?
False
Suppose 0 = -4*r + 9 + 3. Let q(l) = l**3 - 2*l**2 + 4*l - 3. Does 18 divide q(r)?
True
Suppose 5*m - 750 = 4*l, 4*l - 2 + 302 = 2*m. Is 30 a factor of m?
True
Let o(d) = -d + 9. Let q be o(5). Suppose q*g = -y - 3*y + 128, 3*g + 5*y = 90. Is 18 a factor of g?
False
Let v be 0 + (-1)/(2/(-54)). Let m = 1 + v. Is 14 a factor of m?
True
Let s(m) = 2*m**2 - 14*m + 24. Does 22 divide s(-8)?
True
Let m = -44 - -81. Does 20 divide m?
False
Let l(p) = p**3 - 11*p**2 - 2*p - 17. Does 4 divide l(12)?
False
Let c(p) = 2*p**2 - 3*p + 1. Let j be c(2). Suppose j*l + 2*l - 90 = 0. Does 7 divide l?
False
Suppose -5*u + 82 = 5*j + 7, u - 2*j = 0. Does 8 divide ((-1)/(-2))/(u/420)?
False
Suppose l = v + 2, -25 = -4*v - 2*l - 9. Suppose 5*u + v*y - 62 = -2*y, -3*u + y = -44. Is 14 a factor of u?
True
Suppose 3*r - w = 404, 3*w + 267 = r + r. Suppose -5*g + 60 = -r. Is 10 a factor of g?
False
Suppose 3*i = -0*i. Let k = 6 + i. Is 20/k + (-6)/(-9) even?
True
Suppose -2*q + f = -13, -5*q + 19 = -2*q - 2*f. Is q a multiple of 3?
False
Let g = -232 - -464. Suppose 5*k - 2*i - 29 - 226 = 0, 4*i = -4*k + g. Let h = -33 + k. Does 10 divide h?
True
Suppose -8 + 33 = 5*t. Suppose 0 = -t*a + 5*h - 2 - 3, 2*a + 5*h = 19. Suppose a*y = 21 - 3. Is 7 a factor of y?
False
Let q = -13 - -28. Is 3 a factor of q?
True
Suppose -13 = 5*b - 93. Is b a multiple of 6?
False
Suppose -2*l = -2*w + 4, l + 1 = -3*w - 5. Let q be 0 - 0*l/9. Suppose 2*g - 5*n = 73, 2*n = 2*g - q*g - 58. Is 8 a factor of g?
True
Is 5 a factor of 7/(35/26)*5?
False
Let z(t) = 22*t + 3. Is 19 a factor of z(3)?
False
Let p = 182 - 104. Does 26 divide p?
True
Is (12/(-10))/((-9)/210) a multiple of 9?
False
Suppose m = 1, 13 = -3*h + 3*m + 79. Is 7 a factor of h/3 - 6/9?
True
Let x = -1 - 17. Is (x + 0)*(-2)/4 a multiple of 9?
True
Let y = -10 - -15. Is (y/10)/((-2)/(-148)) a multiple of 14?
False
Let n = -5 - -8. Suppose n*j = -2*j + 20, -c + 3*j = 10. Suppose 78 = c*f + f. Does 13 divide f?
True
Suppose 48 = 5*a + 2*d + 12, 4*a - 12 = 4*d. Is a a multiple of 2?
True
Let h(k) = k**2 + 4 - 5*k**2 + k**3 - 2*k**3. Let v be h(-3). Let w = v + 10. Is w a multiple of 2?
False
Let h = -6 + 10. Let q(s) be the first derivative of 2*s**3/3 - 2*s**2 + 4*s - 4. Is q(h) a multiple of 10?
True
Let w = -42 + 338. Does 37 divide w?
True
Let q = -5 + 7. Suppose 0*p - q*p = -70. Is 14 a factor of p?
False
Suppose -s + 1 = 3. Let n(y) = -40*y + 4. Does 28 divide n(s)?
True
Suppose 9*d - 6*d = 282. Does 14 divide d?
False
Let w(s) be the first derivative of -s**4/2 + s**2/2 + s + 4. Let r be w(2). Let l = 25 + r. Does 6 divide l?
True
Let l be 2 - 1*-2*2. Suppose -4*m + l*m = 12. Is 4 a factor of (m/(-7))/((-2)/14)?
False
Suppose -2*g + 38 = -4. Is g a multiple of 8?
False
Let j(n) = -n**3 - 10*n**2 - 12*n + 4. Does 32 divide j(-10)?
False
Let z be (-7 + 1)/(-2)*1. Suppose 15 + 0 = z*b. Does 8 divide (24/b)/(12/40)?
True
Let v = -135 + 232. Is v a multiple of 19?
False
Does 19 divide (-69)/(-2) - 9/(-6)?
False
Let w(z) = z**3 - 14*z**2 - 16*z + 18. Let o be w(15). Is 10 a factor of (-1)/o + (-1210)/(-30)?
True
Let q = 2 - -3. Suppose -75 = -10*i + q*i. Is i a multiple of 15?
True
Is 18 a factor of 33/(-11) - (1 + -130)?
True
Suppose u - 6*u = -4*r - 11, 0 = 4*u + 2*r + 12. Let y be (-2 - u)*1*-62. Suppose 5*t - 4*a - 125 = 0, -4*t + 3*a + y = -37. Is 16 a factor of t?
False
Suppose 2*k + 30 = -k. Let d be (-4)/k - 14/35. Is 5 a factor of (d - 1)*7*-1?
False
Let m = -2 - -5. Let q be 2/(-1 + m) + 1. Suppose -q*o = 5*z - 3*o - 171, -4*z - 5*o = -131. Does 17 divide z?
True
Let f = -10 - -16. Let t be (-39)/(-9)*1*f. Suppose -18 = -2*v - 2*j + t, -j = -4. Does 18 divide v?
True
Does 11 divide (114/(-4))/((-27)/18)?
False
Let d(s) = -4*s**3 - s**2 + 2*s - 1. Let n be d(1). Is n/6*(-120)/2 a multiple of 20?
True
Suppose -5*f + 40 = -0*f. Let j be -3 + f/(-3)*-6. Let m = -9 + j. Does 2 divide m?
True
Let m = -38 - -75. Suppose -18 = -3*h - 4*l + 11, 3*h = 4*l + m. Is 11 a factor of h?
True
Suppose -i + w - 146 = -3*i, 4*w + 241 = 3*i. Is 25 a factor of i?
True
Let m = 2 - -15. Is m a multiple of 17?
True
Suppose -2*m = -1 - 29. Let c(n) = n + m - n - n. Does 7 divide c(8)?
True
Is 2 a factor of (-2 + (-21)/(-14))/(1/(-64))?
True
Let z be (-2)/(-2) + 10 + -2. Suppose -y + 5 = -z. Is 7 a factor of y?
True
Let v(g) = -g**3 - 5*g**2 - g - 3. Let y be v(-5). Is (8/(-2) - y)*-2 a multiple of 12?
True
Suppose 3*l = 4*p - 188, 4*l = -0*l - p - 219. Let c = 95 + l. Is 11 a factor of c?
False
Let s be 129/5 - 13/(-65). Let n = s - -1. Does 10 divide n?
False
Let d be ((-3)/(3/(-58)))/2. Suppose -4*i + d = -3*o, -2*i + 19 = 3*i + 2*o. Does 2 divide i?
False
Suppose 14 = 5*u - 1. Let v(s) = -3*s - 2*s**2 - 4 + 2*s**3 + 0*s**3 + 3*s**u - 6*s**3. Does 7 divide v(-3)?
True
Suppose -10 = -4*s - s. Suppose -2*h - 1248 = s*h. Is 10 a factor of h/(-14) + 6/(-21)?
False
Let h(l) = -l**3 - 6*l**2 - 6*l - 1. Let n be h(-5). Suppose 2*o - 2*f - 38 = 0, -28 = -2*o - 4*f + n. Does 18 divide o?
True
Let w = -8 - -11. Let k = 10 - 14. Let c = w - k. Is 7 a factor of c?
True
Suppose -3*t + 5*c - 9 + 40 = 0, 4*c - 16 = 0. Does 2 divide t?
False
Suppose -2*u = 3*g - 23 + 8, 10 = -2*g. Let l = 11 - u. Let x(o) = o**3 + 5*o**2 + 4*o + 3. Is x(l) a multiple of 3?
True
Let o(w) be the second derivative of -w**4/4 - w**3/2 - w**2 - w. Let f(s) be the first derivative of o(s). Is 9 a factor of f(-2)?
True
Let q = 1 - -3. Suppose -12 - q = -t. Is t a multiple of 8?
True
Let p = -20 - -40. Suppose -2*x + 44 = -p. Does 13 divide x?
False
Let d(v) = -7*v - 9. Let w be -5*(3/15 + 1). Does 11 divide d(w)?
True
Suppose n - 16 = 4*v, -v = -4*n - 7 + 26. Suppose 3*p = 6*p + n*g - 25, 2*p = 5*g + 55. Does 15 divide p?
True
Let v(s) = s**2 + 5*s - 9. Let t be v(-7). Suppose -4*m - 37 = -4*g - g, 0 = t*m + 4*g - 5. Is 8 a factor of m - -2 - 36/(-2)?
False
Suppose 28 = s + 2. Let r = s - 15. Is r a multiple of 11?
True
Suppose -2*n + 264 = 2*n. Let z = n - -6. Suppose z + 28 = 4*c. Is 9 a factor of c?
False
Let o(i) = i**3 + i**2 + i + 3. Let w be o(0). Suppose j = w*j - 174. Let g = -62 + j. Is 11 a factor of g?
False
Suppose 0 = b + 2*b - 6. Let m(n) be the second derivative of 5*n**4/6 + n**3/3 - n**2/2 - 5*n. Is 19 a factor of m(b)?
False
Suppose 7*y - 4*y = 216. Does 24 divide y?
True
Suppose 3*d - 9 - 5 = -4*z, 4*d + 2*z = 12. Let u be d + (-2)/(1*-2). Is u/6*-2*-12 a multiple of 6?
True
Suppose -3*y + 4*y = 15. Is y even?
False
Let s = 45 + -27. Does 8 divide s + 1*(-6)/3?
True
Suppose 0 = p - 0*p + 6. Let x(j) = -j**2 - 6*j + 2. Let i be x(p). Does 17 divide (20/(-3))/(i/(-9))?
False
Let p = 145 - 107. Is 19 a factor of p?
True
Let d(m) = 5*m**3 + m**2 - 2*m + 2. Is 3 a factor of d(1)?
True
Let o = 0 + -4. Let m = o + 11. Is 6 a factor of m?
False
Suppose -j = -6*j + 560. Is 14 a factor of j?
True
Let m be -3*(-4)/6 - -3. Let z = m - 1. Suppose z = -0*k + k. Does 2 divide k?
True
Let i(c) = c + 26. Suppose 4*y = -5*l + 26, 2*y - 18 - 10 = -5*l. Suppose j + 2*w - 4 = 0, -2*w = 5*j - 5*w + l. Is i(j) a multiple of 26?
True
Let w(f) = f**3 + f**2 + 30. Let g be (-8)/20 + 2/5. Let z be w(g). Suppose r + z = 4*r. Is 4 a factor of r?
False
Suppose c - 46 = -c. Does 11 divide c?
False
Let w(y) = 37*y**3 - 2*y**2 + 2*y - 1. Suppose 0 = -i + 4*d - 0*d - 7, -5*d + 13 = 3*i. Does 12 divide w(i)?
True
Suppose 8*o = 5*o + 114. Suppose c - 15 - o = 0. Is c a multiple of 9?
False
Let b be (-8)/(1 + -5) + 3. Suppose -4*r = -b*r + 10. Is r a multiple of 5?
True
Let j(y) be the third derivative of -y**4/24 - y**3/6 - 2*y**2. Let t be j(-5). Let s = t + 13. Is 6 a factor of s?
False
Suppose 2*d = 3*c - 3*d + 40, -d = -c - 12. Does 7 divide (-2)/c + 208/10?
True
Let b(m) = 3 + m**2 + 4*m - 4*m**2 + 2*m**2. Let s be b(-2). Does 11 divide 1/(-2)*-4 - s?
True
Let i(