e
Let f(m) = m**2 - 5*m. Let p be f(4). Let g = p + 14. Let h(a) = a**3 - 10*a**2 + a - 2. Is h(g) a multiple of 3?
False
Suppose -3*y + 406 = -59. Is 21 a factor of y?
False
Suppose -3*h = 8 - 17. Is 3 a factor of h?
True
Let t = -4 - -6. Let h(z) = 0*z**2 - z**2 + t*z**2 - 2*z - 2. Is h(5) a multiple of 13?
True
Let x = 12 + -14. Is 23 a factor of 6*((-29)/x + -3)?
True
Let q = -3 + 7. Suppose 3*h - 44 = q. Does 8 divide h?
True
Suppose 2*p = -5*i + 125, 0 = 2*p - 4*p + 10. Is i a multiple of 23?
True
Suppose -3*o = -2*d - o + 2, -2*o + 10 = 4*d. Suppose -v + 93 = d*v. Is 19 a factor of v?
False
Let f = -1 - 57. Let i be (f/4)/(3/(-6)). Suppose a + 19 = 3*c + c, -a + i = 4*c. Is 3 a factor of c?
True
Let u(c) = -c - 3. Let j be u(-7). Suppose -2*x - j*y = -24, -3*y + 42 = 4*x - y. Is x a multiple of 4?
False
Suppose 2*n + 5*k + 171 = 0, 4*k = -3*n + k - 243. Let y = -42 - n. Is y a multiple of 10?
False
Suppose 4*m + 5*p = 4*p + 186, 3*m - 5*p - 128 = 0. Is m a multiple of 26?
False
Suppose 0 = -4*s - 50 + 110. Is 5 a factor of s?
True
Let d = -2 + 12. Let w = -7 + d. Suppose -w*k - 66 = -6*k. Is 11 a factor of k?
True
Let o = 113 - 61. Does 26 divide o?
True
Does 19 divide 12/18 + (-319)/(-3)?
False
Let v = 46 - 19. Is 3 a factor of v?
True
Let g be (-2)/(1 + 3/(-2)). Suppose -g*x = -t - t - 94, 0 = -2*x - 2*t + 38. Is x a multiple of 11?
True
Let t(q) = -q**2 - 5*q. Let s be t(-4). Let v = -18 - -83. Suppose -p + v = s*p. Does 5 divide p?
False
Suppose 4 = -2*o, -5*k + o = -13 - 4. Suppose -4*u - k = -11, 4*u + 58 = 2*y. Does 11 divide y?
True
Suppose 4*w - 67 = 77. Does 9 divide w?
True
Let t(z) = -z**2 - z + 13. Let h be t(0). Let x = -8 + h. Is x a multiple of 5?
True
Let a be (-87)/(-6)*-2 + 4. Let s = 52 + a. Is 8 a factor of s?
False
Suppose 2*b - 34 = -3*a - 10, -4*b - 32 = -2*a. Let j(x) = x**2 + 3*x - 5. Let i be j(2). Let k = a + i. Is k a multiple of 15?
True
Suppose -5 = -m + 10. Is 8 a factor of m?
False
Suppose -2*l - 4*u = -3*l + 16, 5*l = -u + 101. Is 17 a factor of l?
False
Let r(p) = -5*p - 10. Let y(w) = 4*w + 9. Let v(l) = -2*r(l) - 3*y(l). Is 13 a factor of v(-10)?
True
Let v = -4 - 4. Let c = 12 - v. Is 10 a factor of c?
True
Let k = 310 + -145. Does 13 divide k?
False
Suppose -5*c - 3*g + 18 = g, -5*c + 2*g + 6 = 0. Let y(b) = 8*b**c + 0 + 1 - 7*b - b**3 - 5. Does 13 divide y(6)?
True
Suppose -5*t + 3*t = 0. Let m be (0 + t)/(2 + 0). Suppose 0 = 3*s - 3*b - 24, m = 5*s + 5*b - 76 + 6. Is 11 a factor of s?
True
Let f(t) = -46*t + 2. Does 16 divide f(-1)?
True
Suppose -5*x - 2*s - 4 = -25, -3*x + 5*s + 25 = 0. Suppose -u + 24 = 2*u. Suppose 2 + u = x*p. Is p even?
True
Let h be 1/4 + (-65)/20. Is 20 a factor of (h/9)/(3/(-261))?
False
Let a(q) = 5*q**2 + 76*q - 4. Is a(-16) a multiple of 15?
True
Is 21 a factor of 76/(1 - 0) - -4?
False
Let n = -28 - -82. Suppose -4*g + 5*g = j - 10, 0 = -5*j + g + n. Is 4 a factor of j?
False
Let d(c) = 3*c**2 + 4*c. Let u(v) = -10*v**2 - 12*v + 1. Let y be 3*-1*6/(-9). Let b(s) = y*u(s) + 7*d(s). Is b(-4) a multiple of 2?
True
Let j = 189 + -115. Is j a multiple of 37?
True
Suppose -f = -1, f = -r + 3*f + 3. Suppose 3*i + 8 - 240 = 4*c, -230 = -3*i + r*c. Suppose -5*u + 3*u + 32 = 3*q, 0 = -5*u - 4*q + i. Is 16 a factor of u?
True
Let o = -134 + -2. Suppose -2*c = -5*w + c + 46, -2*c = 5*w - 36. Is w/20 - o/10 a multiple of 7?
True
Suppose -6*i + 3*h = -i - 257, -4*h = -3*i + 163. Suppose 2*t = -4*t + 396. Suppose -t - i = -5*f. Is 9 a factor of f?
False
Suppose 4*k = -5*a + 64, 5*k + 0*a = a + 80. Suppose -36 = -4*f + f. Suppose 0 = -q + k + f. Is 13 a factor of q?
False
Let k = 3 + 14. Suppose l - k = -0*f + 2*f, 2*f = -4*l + 58. Is 5 a factor of ((-12)/9 + 2)*l?
True
Let f = 301 - 113. Does 39 divide f?
False
Suppose -5*y = 3*o + 653, -141 = o + y + 74. Let h be o/(-3)*12/(-4). Does 18 divide (-5)/(-20) - h/4?
False
Let n(i) = 3*i - 4. Let x be n(2). Suppose -29 = -4*v - 2*l - 3*l, 4*v - x*l = 50. Is 3 a factor of v?
False
Let u = 4 + 1. Let f be 4/10 + (-17)/u. Let s = 2 - f. Is 5 a factor of s?
True
Let z(v) be the third derivative of 2*v**2 + 0 + 0*v**3 + 1/120*v**6 + 1/24*v**4 + 0*v - 1/12*v**5. Is z(6) a multiple of 17?
False
Let z = 24 + -15. Let j = -5 + z. Suppose -2*g + 8 - 2 = v, j*v + 4*g = 20. Does 2 divide v?
True
Let h(m) = 12*m - 2. Let g be h(2). Suppose -4*y + 0*y - 3 = -q, -3 = 5*q - 2*y. Is 10 a factor of g - (q/1 - -2)?
False
Let a(c) = 10*c**2 - 4*c + 3. Let g(w) = -w - 3. Let u be g(-5). Is 12 a factor of a(u)?
False
Let b be ((-15)/(-20))/(1/4). Suppose 6*f - b*f = 117. Is 13 a factor of f?
True
Let v = 86 + 35. Does 44 divide v?
False
Suppose -4*t + 591 = 3*z, -2*z - 655 = -5*t + 55. Does 17 divide t?
False
Let k = -4 - -14. Let m = 13 - k. Is 3 a factor of m?
True
Let w(i) be the second derivative of -i**4/12 + i**2/2 + 3*i. Let u(m) = m**3 - m**2 + m + 1. Let n(b) = -u(b) + 6*w(b). Does 5 divide n(-5)?
True
Suppose 0 = -2*d - s + 7, 3*d + s - 3 = 5*d. Suppose -3*j + d - 10 = 0, 5*j + 35 = 4*w. Does 2 divide w?
False
Suppose -450 = f - 4*o + 6*o, -3*f = -4*o + 1360. Let l be -3*(f/6 - 2). Suppose 5*i - l = 3*x, -3*i - 2*x + 97 = -46. Is i a multiple of 17?
False
Let g(i) = i**3 + 28*i**2 - 3*i - 25. Is g(-28) a multiple of 12?
False
Let f be (-2)/(6/9) + -1. Let h(a) = a**3 + 2 + 6*a**2 - 1 - 4 + 5*a. Is 9 a factor of h(f)?
True
Let h(d) = 3*d. Let z be h(1). Let p(q) = q**2 + q + 5. Let r be p(0). Suppose -r*o - z*f + 65 = -5*f, 3*o + f = 39. Is o a multiple of 7?
False
Let r(w) = w**2 - 17. Is 15 a factor of r(-7)?
False
Suppose 0*k = 5*k + 5*z - 165, 3*k + 2*z - 103 = 0. Is 23 a factor of k?
False
Let u(o) = o**3 + 11*o**2 + 15*o + 7. Let f be u(-10). Let i = f + 78. Is 6 a factor of i?
False
Let g be 4 - 7 - (-87 - 0). Suppose g = 2*s + s. Is s a multiple of 14?
True
Suppose -4 = -5*q + 21. Suppose -u + 10 = 4*u. Suppose q*l = -u*s + 92, 2*s = -0*s + 2*l + 120. Does 16 divide s?
False
Let f be ((-6)/(-4))/((-6)/(-8)). Suppose 3*t = r + 73, 0 = 5*t - f*t - 5*r - 89. Is 6 a factor of t?
False
Let f(c) = -180*c**2 + 3*c + 2. Let d be f(-2). Is 2/7 + d/(-14) a multiple of 13?
True
Let s = -46 - -78. Is 6 a factor of s?
False
Let b be (1 - 4) + (0 - -1). Let f(h) = 17*h**2 + 3*h + 1. Is f(b) a multiple of 21?
True
Let w be 6 + (18/(-3))/3. Let p(t) = w - 4 - 4*t. Does 4 divide p(-2)?
True
Suppose -2*w + 31 = -w. Let s = w - 18. Is s a multiple of 13?
True
Suppose 25 = 4*f - 3*r, -5*f + 5*r = -f - 15. Let u be (3/(-2) + 2)*f. Suppose -u*w + 14 + 13 = 4*i, i + 2*w = 3. Is i a multiple of 5?
False
Suppose d - 1 = 0, -5*d = r - 0*d - 126. Suppose 4*y = -y. Suppose 3*b + 12 = y, h - r = -2*h - 2*b. Does 21 divide h?
False
Suppose 4*j + 12 = 7*j. Suppose -3*x = -j*x + 4. Suppose -4*m + 54 + 121 = 5*g, -m + x*g + 49 = 0. Does 15 divide m?
True
Let m(a) = -15*a**2 - 30. Let j(s) = s**2 + 1. Let v(c) = 30*j(c) + m(c). Is 5 a factor of v(1)?
True
Suppose -10 = 3*g + g - 2*b, -3*g + 2*b = 6. Let s = g - -8. Suppose s*h = 16 - 0. Does 3 divide h?
False
Let v(z) be the second derivative of 11*z**4/12 - z**3/6 - z**2/2 - 2*z. Let g(u) be the first derivative of v(u). Is 11 a factor of g(1)?
False
Let x(d) be the third derivative of d**5/60 + 3*d**4/8 - 5*d**3/6 - d**2. Does 5 divide x(-10)?
True
Suppose 21 = -v + 5*g, -4*v + 4*g = g - 1. Suppose -151 = -v*n + 49. Suppose 290 = 5*c + n. Is c a multiple of 18?
False
Suppose 2*y - 145 = 5*c, 2*y - 197 + 32 = c. Does 16 divide y?
False
Suppose 6*v = 3*v + 42. Does 5 divide v?
False
Does 3 divide (-10)/(-3) - (-6)/9?
False
Let z(j) = -j**3 - j + 7. Suppose 2*a = -2*a - 32. Let x be (-3)/12 + (-2)/a. Is z(x) a multiple of 7?
True
Let q(t) = 2*t + 8. Let k be q(-6). Let c be 6/k*20/(-6). Suppose 0 = -2*n + 2, -4*y + n - c*n = -56. Is y a multiple of 7?
False
Let y = 177 + -15. Is y a multiple of 27?
True
Let i(y) = 11*y**2 - y + 2. Is 3 a factor of i(1)?
True
Suppose 8 = 2*i, 0 = 3*x + 5*i - 152 - 255. Suppose -w + x = 2*w. Is w a multiple of 16?
False
Let u = 1 + 1. Let d be (u - (-2 + 2))*1. Does 9 divide 88/5 + d/5?
True
Suppose -4*u = u - 80. Is u a multiple of 13?
False
Suppose -2*v + 124 + 224 = 3*t, 2*t = -4*v + 232. Does 29 divide t?
True
Let x = 31 + -18. Is 13 a factor of x?
True
Let r(m) be the first derivative 