 - 1. Is (405/3)/h - 3 a multiple of 21?
True
Suppose -5*s + 5 = -30. Let n(q) = -4*q + 19. Let v be n(5). Let k = v + s. Is 4 a factor of k?
False
Suppose 0*w + 10 = 5*w. Let y be 0 - (-1 + w) - -13. Suppose 0*f = -3*f + y. Is f a multiple of 4?
True
Suppose -5*b = 3*x - 40, 0 = 2*x + x - 3*b. Suppose -x*y = -10*y + 50. Does 5 divide y?
True
Suppose -r + 4 = -0*r, -r = -5*q + 1. Does 5 divide 8/(-8) - -19*q?
False
Let n(o) = 5*o**2 - 1. Let h be n(1). Suppose 2*l + 8 = 0, -7 = -h*m + 2*l - 3. Is (-2)/m*(-2)/(-1) a multiple of 2?
True
Let d be 0*(2 - 21/9). Let t(i) = 3*i**2 + 1. Let v be t(-3). Suppose d = 3*z + z - v. Is 2 a factor of z?
False
Let b(r) = 11*r + 35. Is 17 a factor of b(7)?
False
Let q = -53 - -76. Does 5 divide q?
False
Let s(h) = 5*h**2 - h - 2. Suppose 0 = -a + q + 2, 15 - 1 = -5*a - q. Let z be s(a). Let c = z - 10. Is c a multiple of 10?
True
Let y(m) = m**2 - m + 2. Let u be y(0). Suppose 5*i = -10, u*q + 3 = 5*i - 1. Let b(x) = x**3 + 7*x**2 - 3*x - 5. Is b(q) a multiple of 8?
True
Let p(q) = q**3 + 3*q**2 - 2*q + 1. Does 30 divide p(4)?
False
Is 14 a factor of 16 + (-1 - -2) - 3?
True
Let t(p) = 9*p + 14. Let g(w) = -w - 1. Let b(u) = -2*g(u) - t(u). Is 28 a factor of b(-13)?
False
Let f(z) = z**3 + 7*z**2 - 9*z - 3. Let q be f(-8). Suppose 4*g - q*v = 52, -2*g + 5*v + 33 - 7 = 0. Is 7 a factor of g?
False
Let z be (-2)/(-5) - (-190)/25. Let u(n) = n**2 - 10*n + 1. Let k be u(8). Is (z/5)/((-3)/k) a multiple of 8?
True
Suppose 0 = 2*v - 4*h - 14, v + h = -2*h + 2. Suppose 0*o = 3*o - 2*a - 53, 5*a + v = -o. Does 6 divide o?
False
Is 7 a factor of (-3 + (-44)/(-12))*42?
True
Let r(t) = t**2 - t + 2. Let m be r(-4). Let l = 1 + -1. Suppose z - 3*z + m = l. Does 8 divide z?
False
Let o = -11 - -15. Let f = -4 + o. Suppose f = 3*m - 4*t - 154, t = 3*m + 4*t - 168. Does 18 divide m?
True
Let z(c) = 8*c - 4. Does 5 divide z(3)?
True
Suppose 50 = 4*j + 2*o, 0*o + 48 = 4*j + 4*o. Let f = -10 + j. Let v = f - -12. Does 7 divide v?
False
Suppose 4*c - 3*j - 6 = 0, 5*j - 3 = 3*c - 2. Suppose 0 = c*g - 5*g + 102. Does 19 divide g?
False
Let u(h) be the third derivative of -h**6/360 + h**5/120 + h**4/24 - h**2. Let g(l) be the second derivative of u(l). Is 6 a factor of g(-5)?
False
Suppose -3*k + 0 = -4*p - 3, -5*k - 4*p = -37. Suppose k*q = s - 0*q - 49, -5*s + q = -197. Is s a multiple of 13?
True
Does 12 divide ((-90)/4)/(1/(-2))?
False
Suppose 0 = -2*w + 3 - 5. Is w/(((-7)/(-6))/(-7)) even?
True
Suppose 80 = 3*o + 2*o. Is 7 a factor of 324/o + (-1)/4?
False
Suppose -c + 5 = 4*i, c + 4*i = 2*c - 5. Suppose -c*n - 2*l = -3*l - 45, n - l - 13 = 0. Suppose -2*w + 2 = -n. Is 5 a factor of w?
True
Suppose -3*v - 5 - 13 = 0. Let p be -5*2*(-15)/v. Is 9 a factor of (7/(-7))/(1/p)?
False
Suppose -10 = -2*o, m + 2*o = 138 + 43. Is m a multiple of 18?
False
Let z(a) = -7*a - 3. Let s be z(-7). Suppose h = 2*h - s. Let f = 88 - h. Does 21 divide f?
True
Let w(x) = x**2 - 4*x - 1. Let k be w(3). Let v = -26 + k. Does 9 divide 6/((-5)/(v/4))?
True
Suppose 2*i = 2 + 4. Suppose i*o = -d - 4 - 1, 3*d + 5 = -4*o. Does 19 divide 102/d*1/2?
False
Let o(v) = v**2 + 7*v + 6. Let q be o(-5). Let f = 24 + q. Does 20 divide f?
True
Suppose 19 = 5*z - 3*l, -5*l - 5 = 2*z + 3*z. Let y(o) = -4*o**2 - 5*o + o**2 + 4 + 8*o**z + o**3. Does 11 divide y(-5)?
False
Let w(p) = 86*p**2 + p + 2. Is 5 a factor of w(-1)?
False
Let t(h) = h**3 + 3*h**2 + 5*h + 6. Let x be t(-3). Is 6/x - (-119)/3 a multiple of 13?
True
Suppose -60 = -4*j + 144. Does 24 divide j?
False
Suppose 5*t - 28 = t. Is 1 + 2 + -1 + t a multiple of 9?
True
Let y(r) be the third derivative of r**5/20 - r**4/24 + r**2. Let p(s) = -s - 8. Let t be p(-6). Is y(t) a multiple of 10?
False
Suppose 3*r = -4*p - 2, -r = -p + 2*p. Is -1*r*(-26)/4 a multiple of 11?
False
Is 23 a factor of (-206)/(-3) - 5/(-15)?
True
Suppose 3*k - 11 = 5*t, 2*k - 5*t + t = 8. Let h = -7 + 7. Suppose k*r - 11 - 1 = h. Is 4 a factor of r?
False
Let z be (-2)/(-6) - 11/(-3). Suppose 3*i - 2 = 2*n - z, 3*i + 14 = 5*n. Is i a multiple of 2?
True
Suppose 5*i - 660 = a + 3*a, -25 = 5*a. Is i a multiple of 8?
True
Let t = -4 - -13. Let k = t + 13. Is k a multiple of 6?
False
Suppose 83*i - 78*i - 525 = 0. Is 8 a factor of i?
False
Suppose 5*c - 19 - 136 = 0. Suppose 5*g - c = 2*s, g - s = -5 + 13. Is g a multiple of 3?
False
Let s be (-1)/(6/8)*-9. Suppose -128 - s = -4*z. Does 20 divide z?
False
Let v(m) = -m**2 - 5*m. Suppose f = 4*f + 12. Let r be v(f). Suppose 60 = -0*p + r*p. Is p a multiple of 5?
True
Let w be 3/(-6) + 50/(-4). Let s = 70 + w. Suppose -s = -4*p + 31. Is p a multiple of 11?
True
Let v = -6 - -5. Let u be v/5 - (-2)/10. Suppose -2*k + 5*q + 24 = q, k - 3*q - 14 = u. Is k a multiple of 5?
False
Let g(s) = s**3 + 15*s**2 + 16*s + 2. Is 30 a factor of g(-12)?
False
Suppose 242 = 3*m + 80. Let b = m - 33. Does 7 divide b?
True
Let l = -95 - -134. Is 24 a factor of l?
False
Suppose 0*c + 5*c - 2 = -f, -13 = 2*c + 5*f. Suppose -11 = -q + c. Is 12 a factor of q?
True
Let g = -28 + 37. Is g a multiple of 9?
True
Let t be 2/2*1*5. Suppose -j + 14 = 2*w, -t*j - w = 2*w - 35. Suppose -3*o = j - 25. Is o a multiple of 7?
True
Suppose -3*l = 38 - 284. Is l a multiple of 12?
False
Suppose -2*t + 2*u = -2*u - 2, 3*t - 5*u = 5. Suppose -t*h = -79 - 11. Is h a multiple of 9?
True
Suppose -3*i = -2*m - 191, 2*i + 5*m - 102 = -0*i. Suppose 0 = 3*c - i - 131. Is 16 a factor of c?
True
Let s(o) be the first derivative of -3*o**2/2 + 7*o - 7. Does 6 divide s(-8)?
False
Let b(m) = 2*m**3 + 4*m - 1. Let h be (-42)/(-70) + 24/10. Is 13 a factor of b(h)?
True
Suppose c = -2*g + 3*c, 5*g = -3*c + 24. Suppose g*x + 3 - 18 = 0. Suppose 33 = 3*n - 0*u + 5*u, x*u - 39 = -4*n. Does 3 divide n?
True
Suppose 4*b + 2*o + 20 = 0, b + b = o - 6. Let q(v) = 8*v**2 + 5*v + 2. Let z be q(b). Suppose 3*r + z = 4*h, -h + 8 + 8 = 5*r. Is h a multiple of 13?
True
Let u(b) = -b**3 - 5*b**2 + 10*b + 5. Suppose -2*o - 9 = 5. Is 11 a factor of u(o)?
True
Is 23/(3*2/12) a multiple of 12?
False
Let b = 5 - -4. Is 2 a factor of b?
False
Let o(b) be the first derivative of -b**4/4 - 7*b**3/3 - b**2 + 8*b + 1. Is o(-7) a multiple of 11?
True
Does 9 divide (-86)/(-10) - 4/(-10)?
True
Suppose -10*z + 5*z + 135 = 0. Is z a multiple of 13?
False
Let b = 2 + 3. Suppose 18 + 17 = b*g. Suppose -h - g = -52. Is 15 a factor of h?
True
Does 13 divide (3 - 20/8) + (-886)/(-4)?
False
Suppose -284 = -3*i + 4*n, -4*n = 5*i - 0*n - 452. Does 13 divide i?
False
Let j = -2 + 5. Let h = -1 + j. Is 7 a factor of 22/(1/(h/4))?
False
Let j = -54 + 59. Let m = -4 + 12. Suppose m = l - j. Does 10 divide l?
False
Let j be -2 + -9 - 21/7. Let d = j - -31. Is 3 a factor of d?
False
Is 0/(-3) - 2 - -12 a multiple of 9?
False
Suppose -3*v + 7 = -2*q, 6*v - 2*v + 5*q = -29. Does 15 divide (-41 + 0)*(v - 0)?
False
Let w(o) = -6*o**3 + 2*o**2 - 5*o - 2. Let f(x) = 5*x**3 - 2*x**2 + 4*x + 1. Let i(n) = 5*f(n) + 4*w(n). Is 6 a factor of i(3)?
True
Is (-30)/50 - (-38)/5 even?
False
Let w be (-46)/4*(0 - -2). Let m = 38 + w. Is 5 a factor of m?
True
Suppose 3*i = -2*b - 85 + 248, i = 2*b + 49. Is 4 a factor of i?
False
Suppose -39 = -t + 9. Is 9 a factor of t?
False
Let z = -38 - -16. Let k = -16 - z. Does 4 divide k?
False
Let y be ((-3)/6)/(2/(-40)). Let a = -7 + y. Suppose 0 = 3*f - t - 19, 2*f + a*f - 30 = 2*t. Is 8 a factor of f?
True
Suppose -6*f = -2*f + 8, -2*s + 244 = -2*f. Does 23 divide s?
False
Let w = -48 + 92. Let r = 35 + -41. Is w/r*(-2 - 1) a multiple of 8?
False
Suppose -2*z - z = -3*n + 3, 0 = 5*n + 5*z + 45. Let t = n - 8. Let l = 7 - t. Is l a multiple of 11?
False
Suppose 5*r - 25 = 4*r. Let t = -13 + r. Is t a multiple of 12?
True
Let x(y) = -y + 4. Let c be x(4). Suppose c = -h - 2 + 10. Does 4 divide h?
True
Let f be 33/(-2) - (-2)/(-4). Let o = f + 32. Does 5 divide o?
True
Suppose 0 = d - 16 - 13. Suppose 3*h + d = 131. Is h a multiple of 17?
True
Let b(u) = u**2 + 1. Let i be b(-1). Let o = -155 + 47. Is 15 a factor of o/(-8)*(4 - i)?
False
Is 14 a factor of (1*(-4)/(-1))/((-34)/(-833))?
True
Suppose 4*i - 2*j = 46, 57 = 6*i - i - 3*j. Suppose -6*t = -4*t - i. Is t a multiple of 3?
True
Suppose 5*n - 75 + 25 = 0. Let a = -2 + n. Does 10 divide (66/4)/(6/a)?
False