
False
Let s(u) = u**3 - 12*u**2 - u + 19. Is s(12) a multiple of 5?
False
Let j(f) = -7*f**3 + 3*f**2 + 3*f + 4. Let k(t) = -4*t**3 + t**2 + 2*t + 2. Let u(d) = -3*j(d) + 5*k(d). Is 11 a factor of u(5)?
False
Let r(x) = -x**2 + 11*x - 12. Let u be r(10). Is (4 + u)*(-78)/(-4) a multiple of 19?
False
Suppose -4*w - w = -60. Let k = -8 - -28. Let n = k - w. Is 8 a factor of n?
True
Let t(k) = -k**2 + 4*k + 17. Does 2 divide t(5)?
True
Let n(g) = g**2 - 4*g + 1. Let o be n(3). Let z be o/(-8) + (-5)/20. Suppose k + z = 28. Does 12 divide k?
False
Suppose -2*h + 6 = h. Suppose h*j = -3*j + 300. Let v = -20 + j. Does 20 divide v?
True
Suppose 0 = 29*f - 34*f + 910. Does 34 divide f?
False
Suppose 4*j - 3*j = 48. Is 10 a factor of j?
False
Let h(a) be the first derivative of a**2/2 - 4*a + 3. Let p be h(4). Suppose -7*z + 2*z + 80 = p. Is z a multiple of 6?
False
Is 5 a factor of (-2 + 8)*(0 + (-19)/(-3))?
False
Let t(j) = j**2 + 2*j - 21. Is 7 a factor of t(-9)?
True
Let g be (92/10)/((-3)/15). Suppose -3*s + 153 + 153 = 0. Let a = g + s. Is 24 a factor of a?
False
Let x be -5 + 7 + (-19 - 0). Let d = x + 38. Is d a multiple of 12?
False
Let v = -5 - -6. Let n = 8 + v. Is n a multiple of 3?
True
Suppose 0 = -3*t + d + 4585, t + 8*d = 3*d + 1507. Suppose -520 = -l - 4*f, -f + t = 3*l - 0*f. Is (-2)/7 + l/14 a multiple of 17?
False
Is ((-2970)/225)/((-2)/40*3) a multiple of 11?
True
Suppose -5*o + 4*w = -508, -3*w = 6*o - 2*o - 394. Suppose 5*x - 25 = o. Is x a multiple of 14?
False
Let c be 20 + (0 - (-2)/1). Suppose -21 = -h + c. Is h a multiple of 15?
False
Let k = 7 - 4. Suppose -29 = -5*g + 2*y, -2*y + 8 = -k*g + 23. Is g a multiple of 7?
True
Suppose 0 = 4*a - 3*a - 12. Suppose 5*s - 3 - a = 0. Is s a multiple of 3?
True
Let p = 37 + -24. Let o(d) = -d + 19. Is o(p) a multiple of 3?
True
Suppose 6 = 4*q + 2. Let h = q - -2. Suppose -h*i = 2*n - 2 - 52, 3*i = -4*n + 102. Is 12 a factor of n?
True
Let m be 0 + 3/(-1 + 4). Let t be 2 + m*(-2 + 5). Suppose -2*u + 35 = n + 15, -15 = t*u. Does 13 divide n?
True
Let d(g) = -g**2 + 4*g + 5. Let f(n) = -n**2 + 3*n + 4. Let l(z) = 5*d(z) - 6*f(z). Let b be l(-3). Let j = 2 + b. Does 3 divide j?
True
Suppose -85 = -2*g + 55. Suppose 34 = 5*v - 3*v + p, g = 4*v + p. Is 9 a factor of v?
True
Suppose -11 + 45 = 2*r. Is r a multiple of 2?
False
Let x = 0 + 5. Suppose x*f = -5*r + 45, 0 = -r - 4*f - 7 + 25. Does 4 divide r?
False
Is 13 a factor of (2*-2)/((-2)/26)?
True
Suppose 0 = 13*l - 578 + 201. Is 13 a factor of l?
False
Let h(z) = -z**3 - 3*z**2 + 3*z + 5. Suppose -3*c + 2*c = k + 9, c + 21 = -4*k. Is h(c) a multiple of 8?
True
Let k = -86 + 212. Is k a multiple of 18?
True
Let t(b) be the first derivative of -b**2 + 4*b + 4. Let u = -25 - -17. Does 10 divide t(u)?
True
Let z(c) = -12*c + 10. Let x(o) = 13*o - 10. Let w(h) = -4*x(h) - 5*z(h). Does 16 divide w(10)?
False
Let t = -48 + 30. Let q = t - -42. Does 13 divide q?
False
Suppose -5*o = -i + 51, 4*i - 73 = 2*o + 41. Does 13 divide i?
True
Let k = 25 + 4. Let h = -11 + k. Is 9 a factor of h?
True
Does 19 divide 41 + 5/((-5)/(-2))?
False
Suppose 0 = -5*q + c - 3*c + 597, -c = -3*q + 367. Does 35 divide q?
False
Let g = 0 - -2. Suppose g*c = 28 - 4. Is 12 a factor of c?
True
Let n be -10*(29/(-2) - -3). Suppose 5*i + 2*f - n = -f, 3*f = i - 5. Does 10 divide i?
True
Suppose 2*r + 5*k = 5*r - 38, 26 = r - 5*k. Let q be ((-30)/(-4))/3*r. Suppose 3*d = 6 + q. Does 6 divide d?
False
Suppose b = 3*b - 126. Is b a multiple of 21?
True
Suppose h + 7 = -t, -5*t = -2*h - 4*t - 2. Is (-1)/(2/(12/h)) even?
True
Let i(z) = -z**3 - 5*z**2 - 5*z - 5. Let d be i(-4). Let c be (-3)/(-3) + d - -5. Suppose c*n - 5 = 5, -42 = -4*v - 5*n. Is 4 a factor of v?
True
Suppose -1 = -4*l - 321. Does 14 divide l/(-6) - (-8)/12?
True
Let b be (8/3 - 1)*3. Suppose 0*k = -b*k + 110. Suppose -k = -4*m - 2. Is m a multiple of 5?
True
Let o be (2 + -2)*-1 - 53. Let h = o + 76. Does 8 divide h?
False
Let m(f) = 3*f + 1. Let n = 1 + 9. Does 11 divide m(n)?
False
Let u = -26 - -38. Does 4 divide u?
True
Let v(x) = -x + 6. Let k be v(0). Suppose 0 = -c + k*c. Let d(f) = f**2 - f + 4. Is 3 a factor of d(c)?
False
Let a(z) = -2*z**2 + 5*z + 6. Let o be a(6). Is (4 - 3)/(-1) - o a multiple of 10?
False
Suppose -l = -4*l - x + 3, 2*x = 3*l + 6. Suppose 2*k + 3*f = -5, l = -4*k + 3*f - 9 + 44. Is 3 a factor of k?
False
Suppose 2*y + z + z = 8, 5*y + 4*z - 20 = 0. Suppose -22 - y = -2*o. Is o a multiple of 4?
False
Suppose 0 = -w + 3, 5*l - w + 0*w - 32 = 0. Let u(g) = 5*g + 10. Does 23 divide u(l)?
False
Let z(n) = -105*n + 2 - 2. Let t be z(-1). Suppose 0 = -11*o + 6*o + t. Does 9 divide o?
False
Suppose -4*x = 5*t - 118 - 99, -4*x + 212 = 4*t. Is 8 a factor of x?
True
Suppose 0 = 17*s - 309 - 371. Is s a multiple of 4?
True
Let w(x) = -x - 3. Let h be w(-3). Suppose 0 = 4*s - h*s - 68. Does 6 divide s?
False
Is 12 a factor of (2/3)/(6/3195)?
False
Suppose 174 = -3*o + 5*o. Suppose -o - 15 = -2*w. Is w a multiple of 17?
True
Let t(m) = 13*m**2 - 4. Does 27 divide t(-2)?
False
Suppose f - 6*f + 15 = 0. Suppose f*g = 2*o - 46, 2*o - 2*g - 54 = -3*g. Suppose -5*d + 6*h = 4*h - 37, -o = -2*d - 2*h. Is 5 a factor of d?
False
Let f(c) = 14*c + 6. Let u be f(-8). Let r = u - -56. Does 13 divide 10/r + 136/5?
False
Suppose 0*z = -5*z. Let v = 3 - z. Suppose -2*r - 19 = -v*r. Does 9 divide r?
False
Suppose -6*d + 171 = 45. Does 7 divide d?
True
Let n(t) = t**3 + 9*t**2 - 3*t - 5. Let x = -11 + 8. Let l = x + -6. Is n(l) a multiple of 13?
False
Suppose -z = -0*y + 5*y - 5, 0 = 5*z + 3*y - 69. Suppose -g + z = 2*g. Suppose 9 + g = m. Does 4 divide m?
False
Let o(y) = -8 - 5*y - 3 + 1. Let k = 1 + -9. Does 12 divide o(k)?
False
Let u(n) = n**2 + 4*n - 3. Let y be u(-8). Let d = y - 21. Does 5 divide d?
False
Let r(u) = -u**2 + 2. Let l be r(0). Suppose l*q = q. Suppose -4*o = c - 30, q = 2*c + 6*o - o - 51. Is c a multiple of 9?
True
Suppose 4*o - 3*o = 0. Let f be (0 + o)/(9 - 7). Suppose -2*k + 3*k + 68 = 4*c, 2*k - 8 = f. Does 14 divide c?
False
Let i(b) = -2*b - 11. Let f be 6*1/2 - 1. Let w = f - 11. Is 3 a factor of i(w)?
False
Is (-9)/(-2)*(-2)/(-3) even?
False
Let r be 348/9 + 1/3. Suppose -2*g = -r - 51. Is 14 a factor of g + -2 + -2 + 2?
False
Let o = -40 + 64. Is o a multiple of 4?
True
Is 9 a factor of (180/14)/((-1)/(-7))?
True
Let f be ((-2)/4)/((-11)/(-1496)). Let b = f - -106. Does 19 divide b?
True
Let o(w) = -w**2 + 8*w + 1. Let b be o(8). Let k(z) = b + 3 - 9 + 4 + 4*z. Does 12 divide k(4)?
False
Let q = 75 + -70. Is q a multiple of 2?
False
Suppose 0 = i + 4*z + 11, 5 - 30 = -5*i - 4*z. Suppose 0 = -3*f - i, 7*f = -3*p + 3*f + 69. Is p a multiple of 9?
True
Let z(o) = o**3 - 4*o**2 - 6*o - 2. Let r be z(6). Let a be (-3)/7 - r/(-14). Suppose -29 = -p + a*k + 35, 177 = 3*p - 3*k. Is 18 a factor of p?
True
Suppose -r = -b - 56, 2*r - 4*b + 0*b = 106. Is 19 a factor of r?
False
Let p(t) be the second derivative of 4*t**5/5 - t**4/12 - t**3/6 + t**2/2 - 2*t. Is 8 a factor of p(1)?
False
Is (13/(-2))/((-9)/18) a multiple of 13?
True
Suppose 19*o - 15*o = 980. Does 21 divide o?
False
Suppose r - l = 2, 3*l = -r + 3*r. Let m(t) = t**2 - 4*t + 14. Is m(r) a multiple of 13?
True
Suppose 0 = 2*o - 4*o + 6. Suppose -o*h - 7 = -4*h. Is h a multiple of 6?
False
Let g(y) = -3*y - 6. Suppose -6*a + a - 45 = 0. Is 7 a factor of g(a)?
True
Suppose 4*y - 18 = -5*n + 42, y = 0. Let s(u) = -u**2 + 15*u - 17. Is 19 a factor of s(n)?
True
Suppose -6*t + t + 14 = 3*c, 0 = -2*c + 4*t + 24. Does 10 divide ((-2)/4)/(c/(-320))?
True
Let x(l) = 64*l**2 - l + 3. Is 11 a factor of x(1)?
True
Suppose 2*n = -0*n - 2*c + 6, 15 = -3*c. Is n even?
True
Let u(r) = -r**2 + 16*r + 13. Suppose 0 = -t + 4*t - 33. Does 26 divide u(t)?
False
Suppose 73 + 98 = 3*b. Does 57 divide b?
True
Suppose 175 = 3*q + 4*y, -2*q = -4*q + 3*y + 111. Is q a multiple of 19?
True
Let x be 2 - (-1)/2*0. Suppose 5*o - w + 62 = 167, -4*o + x*w + 84 = 0. Is o a multiple of 14?
False
Let q(h) = 63*h**3 - 2*h + 1. Let g be q(1). Suppose s - m - 23 = 0, -2*m + g = 2*s - 0*m. Is 9 a factor of s?
True
Let m(f) = -f + 2. Let s be m(5). Let p be -5*3/(3/10). Does 8 divide p/(-3) + 2/s?
True
Let z(n) = 2*n - 6. Let b(x) be the first derivative of x