 - 4*w**3/3 - 4*w**2. Does 5 divide h(-6)?
True
Let m(k) = k**2 - 7*k + 2. Let q be m(7). Let s be 6/15 - (-26)/10. Suppose -4*f = q*h + s*h - 38, 26 = 4*f - h. Is 3 a factor of f?
False
Suppose -6*u + 117 = -5*u. Is u a multiple of 28?
False
Let u(n) = 2*n**2 - 3*n + 3. Let k(x) = x**3 - 4*x**2 + x - 1. Let q be k(4). Is 4 a factor of u(q)?
True
Is 24 a factor of 154/4 + (-45)/(-30)?
False
Let c be (-15 - -10)*(-2 + 1). Suppose -c*k + 25 = 0, -p + 4*k - 1 + 25 = 0. Does 12 divide p?
False
Let u = -10 + 30. Let j = u - 14. Suppose j*b - b = 30. Is 6 a factor of b?
True
Let s = 31 + -1. Does 30 divide s?
True
Suppose -4*y - 2*r = r + 31, 0 = -r - 1. Let f be (-2)/y - (-36)/21. Suppose 35 = f*s + 13. Is 4 a factor of s?
False
Let k = 39 - 3. Is 9 a factor of k?
True
Let v = 1 + -3. Suppose 2*s - a + 8 = 0, 15 = -4*s + 5*a - 13. Is (-6 + v)/(s/7) a multiple of 12?
False
Suppose -4*s = -s - 15. Suppose -6*m + s*m + 51 = 0. Is 17 a factor of m?
True
Let h = 20 + -16. Suppose -h*q + 30 = 2*q. Does 4 divide q?
False
Suppose -3*r + 24 = r. Suppose -y + r + 150 = 2*s, -4*y - 166 = -2*s. Suppose 4*m = -m + z + s, 3*m = 3*z + 45. Is m a multiple of 8?
True
Suppose 0 = -2*q - 2*q + 4. Suppose 3*z + q = -8. Let f = 1 - z. Is f a multiple of 2?
True
Let l(a) = a**3 - 6*a**2 + 6*a + 5. Is l(5) a multiple of 7?
False
Let a = 2 - 5. Let h(v) = 4*v**3 - 4*v**2 + 13*v + 1. Let g(i) = 2*i**3 - 2*i**2 + 6*i + 1. Let n(k) = a*h(k) + 7*g(k). Is 18 a factor of n(3)?
False
Suppose -s + y = -2*s + 6, 3*y = -4*s + 20. Suppose -2 = -o + s. Suppose -o*c = 5 - 125. Does 19 divide c?
False
Let h(d) = d**2 + 8*d - 6. Let q be h(-9). Does 11 divide 2 + 0 + q + 28?
True
Let l = -3 + 5. Let r be ((-24)/18)/(l/(-6)). Is 2 a factor of r/1 - (3 - 1)?
True
Let x = -10 + 5. Let b(t) = t**2 + 9*t + 11. Let a be b(-9). Let c = x + a. Is c a multiple of 5?
False
Let c be 1 - ((-2 - 2) + 2). Suppose -2*k = u - 5*u - 4, 2*u + 5*k + 14 = 0. Does 13 divide u + 18 + (0 - c)?
True
Suppose -3*b + 10 = -5*b. Let v = -2 - b. Suppose -3*r + 60 = 3*a, 8*r + v*a = 4*r + 78. Is 9 a factor of r?
True
Suppose 5*v = -3*d - 7, 7 = 4*d + 5*v + 18. Let p be d/((-8)/6) + 1. Does 10 divide (4/(-3))/(p/(-30))?
True
Suppose -1602 - 1302 = -12*z. Is z a multiple of 13?
False
Is (-2 - (-2 - -1))*(-31 + -5) a multiple of 6?
True
Suppose -j + 2*j - 4*h = 0, -h = 0. Suppose -d + 3 = -j*d. Is d even?
False
Let d = 1 - -4. Suppose 3*l = 5*g + 4*l - 122, -114 = -d*g + 3*l. Is g a multiple of 5?
False
Let v = 19 - 1. Suppose 3*b + 4 = 5*g, -4*b - 2*g + v = -4*g. Suppose 4*f - 95 = -5*y - 17, -f + b = -5*y. Is f a multiple of 17?
True
Suppose p - b + 6 = 4*b, 3*b + 24 = -4*p. Let j(x) = x**2 - 5*x. Does 33 divide j(p)?
True
Let j = 122 - 82. Does 10 divide j?
True
Let m = 0 - 0. Suppose -h = -5 - m. Suppose -2*v + 0*x = h*x - 32, 4*v - 3*x = 90. Does 19 divide v?
False
Suppose 0*u - u + 12 = 0. Suppose u - 2 = 5*x + 5*j, 0 = -5*x + 5*j + 30. Is x a multiple of 4?
True
Suppose -12*s = -17*s + 115. Is s a multiple of 9?
False
Suppose -4*r + 9 = -15. Suppose -28 = -x - r. Does 22 divide x?
True
Suppose 4*x + 5*c + 39 = 0, 2*x - 5*c - 3 = -0. Let d be (2/3)/(x/18). Is (-18 - d - -2)/(-1) a multiple of 9?
False
Is 19 a factor of 24/(-9)*(-1 - 53/4)?
True
Suppose 30 = 5*s - 5*u, -s - 4*s + u = -14. Suppose 4*c - s*c = 0. Suppose c*a + 128 = 4*a. Is a a multiple of 12?
False
Suppose 2*m - y - 9 = -4*y, 0 = 4*y - 4. Suppose m*b + 4 = 40. Is 5 a factor of (0 + 5)*b/4?
True
Suppose 0 = -4*j - 10 + 22. Is 3 a factor of j?
True
Suppose -150 = -g - g + 2*c, 5*g + 4*c = 357. Is 7 a factor of g?
False
Let w be (0/2)/(0 - 1). Let z(b) = b + b + w*b + b. Is 15 a factor of z(5)?
True
Suppose 3*k + 3 - 12 = 0. Suppose 3*o - 2*z + 30 + 10 = 0, k*o + 2*z + 32 = 0. Does 13 divide 4/o + 230/6?
False
Let a(r) = -6 + 4*r - 8 + 3*r**2 + 18. Suppose m + 2*t = -9, 6 - 33 = 4*m + 5*t. Is 14 a factor of a(m)?
False
Suppose 2*w - 3*q = 66 + 82, 0 = w - 5*q - 74. Let m = w - 45. Is m a multiple of 19?
False
Let d be 1/(-2) + 21/6. Suppose 0*i = d*i. Suppose i = 5*n + 4*o - 15, 0 = 2*n + o - 4 - 5. Does 3 divide n?
False
Suppose 38*j + 162 = 41*j. Is 9 a factor of j?
True
Suppose 5*x - 554 = -9. Does 21 divide x?
False
Suppose -3*d = d + 3*k - 3, 3*k = -d - 6. Let v(n) = -3*n**3 - n. Let z(h) = -6*h**3 - h**2 - 3*h + 1. Let u(p) = -7*v(p) + 3*z(p). Is u(d) a multiple of 17?
True
Suppose 14 = a - 3*b, -2*b + 2 = 12. Let i = a - -38. Does 18 divide i?
False
Let a(v) = -v**3 - v**2 + v + 123. Is 14 a factor of a(0)?
False
Let t = 357 - 162. Let y be (t - -3)/(6/4). Suppose 5*g - 3*i = -2*i + 129, -2*i = 5*g - y. Is g a multiple of 12?
False
Suppose p + 16 = -4. Does 7 divide (p/6)/(1/(-6))?
False
Let c(z) = -5*z + 1. Let a = 7 + -12. Is c(a) a multiple of 13?
True
Let d(i) = i**3 - 4*i**2 + i. Suppose -5*w = 2*r - 23, -r + 0*r + 19 = 5*w. Let s be d(r). Does 10 divide s/20 + 188/10?
False
Suppose 0 = -5*p + 2*p - 12. Let k = p - -7. Suppose 4*r + 2*g = 152, 4*r = -k*g + 25 + 131. Is 14 a factor of r?
False
Let h = 9 - 6. Let c = h - 3. Does 8 divide -2 + c + 1 + 17?
True
Suppose -4*v - 2*r = r - 189, 4*v + r = 199. Suppose -4*a - 4*y + 104 = 0, -2*a + 5*y = 20 - v. Let g = a + -11. Is 5 a factor of g?
False
Suppose -d + 117 = 3*k - 153, k - 2*d - 90 = 0. Does 15 divide k?
True
Let o = -8 - -12. Is o a multiple of 3?
False
Let k(r) = 12*r - 4. Let h be k(3). Suppose -4*u = -b - 45, -2*u - b = -h + 5. Suppose u = w + 4*o - o, 38 = 2*w - o. Is w a multiple of 14?
False
Let g = -43 - -24. Suppose 0 = 2*o + 4*v + 12, 0 = -5*o + v - 3*v - 14. Is 15 a factor of -2 - g - (-4)/o?
True
Let i = 145 + -55. Is 10 a factor of i?
True
Let x(q) = q**2 + 11*q + 15. Let z be x(-10). Suppose 0 = -z*b + 117 + 63. Is 16 a factor of b?
False
Suppose 0 = -9*y + 607 + 1661. Is 36 a factor of y?
True
Let y = 27 - -20. Is 16 a factor of y?
False
Suppose -4*y = -7 - 45. Does 7 divide y?
False
Suppose 5*k = -b - 3 + 4, 0 = -2*k + b + 6. Let v = k - -1. Suppose -3*w - 2*w = -3*l + 76, v*l - 49 = 5*w. Is l a multiple of 13?
False
Let p(y) = -11*y - 1. Let i be p(-1). Suppose 5*d = 90 + i. Is 12 a factor of d?
False
Let p(v) be the second derivative of 4*v**3 + v**2/2 - 3*v. Is p(1) a multiple of 25?
True
Let o(y) = 3*y**3 - 2*y**3 + 1 - 11*y - 5*y + 10*y**2 + 4*y. Is o(-11) a multiple of 12?
True
Let r(v) = v**2 + 10*v + 2. Let m be r(-10). Does 5 divide (0 + 5)/(m - 1)?
True
Let r = -88 + 103. Is 15 a factor of r?
True
Let v = -3 - -5. Suppose 0*l + 92 = v*l. Let i = l + -23. Is i a multiple of 7?
False
Let k(i) be the first derivative of -i**2/2 + 6*i - 1. Let g be k(-6). Suppose 3*o + g = 2*v, -3*v = 2*o - 39 + 8. Is v a multiple of 4?
False
Let u = -1 - -4. Suppose 2*s - u = 15. Does 3 divide s?
True
Let a = 24 + -6. Let g = a + -3. Is g a multiple of 14?
False
Let s(z) be the third derivative of -z**6/60 + z**5/30 + z**4/24 + z**3/3 + 3*z**2. Let r be s(2). Is 14 a factor of 11 + 1 + (-8)/r?
True
Let j(s) = s**3 + 4*s**2 - 2*s - 3. Let w be j(-4). Suppose 0 = -w*r + 107 - 7. Is 11 a factor of r?
False
Suppose 0 = 11*o - 12*o + 13. Is o a multiple of 5?
False
Suppose 2 - 6 = -u, u - 616 = -4*z. Does 9 divide z?
True
Suppose 3*p = -p + 8. Suppose -287 + 37 = -5*l + y, -l + 41 = -p*y. Is (-1)/((-105)/l - -2) a multiple of 10?
False
Suppose 3*r - 115 = 65. Let x = -33 + r. Is 9 a factor of x?
True
Let i(u) = u**2 - 4 - 4*u + u - 2*u + 3*u. Suppose 2*g - 18 = -g. Does 10 divide i(g)?
True
Suppose -210 = -40*p + 35*p. Is p a multiple of 21?
True
Suppose -3*y + 8*y - 791 = x, -4*x - 779 = -5*y. Is 32 a factor of y?
False
Does 24 divide (-238)/4*(0 + -2 + 0)?
False
Let q(o) be the second derivative of -6*o**2 + 2*o + 1/20*o**5 - 1/2*o**3 + 0 + 2/3*o**4. Is 12 a factor of q(-8)?
True
Let w(o) = 29*o + 1. Let v be w(3). Suppose -5*z = -3*z - v. Does 12 divide z?
False
Let v = -17 - -26. Does 3 divide v?
True
Let k(a) be the first derivative of -a**4/4 - a**3 + 3*a**2/2 + 5. Is k(-4) even?
True
Suppose 2*b - 93 - 179 = 0. Does 17 divide b?
True
Suppose -a = 3*a + 24. Let m(u) = u**3 + 5*u**2 + 6*u + 5. Let c be m(a). Let j = -29 - c. Is j a multiple of 18?
False
Suppose -3*r - 6 = -93. Let s = r + -18. Suppose n = -4*b + s, b - 3*b = -2*n + 2. Is n a multiple of 3?
True
Suppose -t + 