 3*r. Is 18 a factor of r?
True
Suppose 0 = -4*b - 3*x - 26, -5*b - 23 - 19 = -x. Let z(h) = 6*h + 27. Let v(j) = -2*j - 9. Let o(i) = -11*v(i) - 4*z(i). Is o(b) a multiple of 7?
True
Suppose 4 = 4*s - s + u, -2*s - 4 = -u. Suppose s = -2*k + 5*k - 81. Does 9 divide k?
True
Let x be ((-6)/(-10))/(-3*5/(-225)). Let l(i) = i + 12. Let j be l(-6). Suppose j*h - 3*h = x. Is 2 a factor of h?
False
Let q = 70 - 114. Let j = q + 80. Is 9 a factor of j?
True
Let p(o) be the third derivative of 1/24*o**4 - 2*o**2 + 0 - 1/120*o**6 + 0*o - 1/60*o**5 + 4/3*o**3. Is p(0) a multiple of 5?
False
Suppose 9 = -v + 4*v. Suppose -2*w + 80 = v*w. Suppose 0 = -3*b + 5 + w. Does 5 divide b?
False
Let i = 36 - 17. Is i a multiple of 17?
False
Is 13 a factor of -41 + 45 - (1 - 1 - 74)?
True
Let c(q) = q**3 + 6*q**2 + 3*q + 8. Let d be c(-6). Is 4 a factor of d/10 + 11*1?
False
Suppose -11*o - 250 = -13*o. Is 25 a factor of o?
True
Suppose 91 = -3*a - 0*a + 2*f, -2*f - 140 = 4*a. Let u = -19 - a. Is u a multiple of 14?
True
Suppose v + 84 - 11 = 2*j, 4*v - 152 = -4*j. Is j a multiple of 3?
False
Let c(m) = -m**2 - 19*m - 6. Is 12 a factor of c(-10)?
True
Let j be 54/10 + 3/5. Suppose -3*o - j*u + 3*u - 213 = 0, -5*u = -3*o - 253. Does 8 divide o/(-6) + (-2)/(-6)?
False
Suppose 3*i + 0*i = 6. Suppose -p + 102 = i*p. Is p a multiple of 17?
True
Is 1 - (-63 - (4 + -4)) a multiple of 16?
True
Let k(z) = -17*z - 37. Does 30 divide k(-11)?
True
Let c = 13 + -7. Suppose 24 = 3*n + c. Is 4 a factor of n?
False
Does 14 divide (-2)/(-9) - (-9472)/144?
False
Suppose -5*q + 3*w + 197 + 9 = 0, 0 = q - 2*w - 44. Is 20 a factor of q?
True
Suppose -59*f - 880 = -64*f. Is f a multiple of 11?
True
Let m be 6/(-4)*(-8)/6. Suppose -4*x = m*b - 24, b = 5 - 3. Is x a multiple of 4?
False
Let v = -7 - -7. Suppose 0*i + 43 = 3*s - i, 2*s + 5*i - 6 = v. Is 6 a factor of s?
False
Suppose 4 - 20 = -2*u. Is 4 a factor of (-18)/u*(-1 + -3)?
False
Suppose 0 = -0*y - 4*y + 84. Is 4 a factor of y?
False
Suppose 5*k - 26 - 4 = 0. Suppose -3*t = 5*h - k*t - 196, -76 = -2*h + 2*t. Is h a multiple of 17?
False
Let r be (-41)/(-4) - 6/24. Let w = 9 + r. Does 8 divide w?
False
Let n = 3 + 0. Suppose -2*h - 28 = -k + 14, 2*k - 88 = n*h. Is k a multiple of 13?
False
Suppose 10*f = 5*f + 15. Suppose -96 = -f*q - 6. Is 10 a factor of q?
True
Suppose -3*j - 1 + 8 = 2*k, -5*k = -j + 8. Is (-79)/(-3) - 1/j a multiple of 13?
True
Let f(n) = n - 1. Suppose -2*z = -6*z - 8, 4*z + 5 = -p. Let o be f(p). Suppose o*s - 7 = 21. Is s a multiple of 14?
True
Suppose -3*g + 2*n + 0*n = -91, -81 = -3*g - 3*n. Is 4 a factor of g?
False
Let z(l) = -l**3 + l + 1. Let f(y) = -y**3 + 3*y**2 - 1. Let o(p) = -f(p) - z(p). Is 12 a factor of o(3)?
True
Suppose -3*n + 74 = 23. Is n a multiple of 17?
True
Suppose 19*m - 8*m - 770 = 0. Does 5 divide m?
True
Let m(d) = d**2 - 5. Let b be m(0). Let s = b - -9. Does 2 divide s?
True
Let t(u) = -2*u + 7. Let s be t(6). Let h(o) = o**3 + 4*o**2 - 6*o - 3. Let l be h(s). Suppose l*j - 94 = -f, -5*f - 272 = -4*j - 56. Does 18 divide j?
False
Suppose 0 = -2*o + 4*o - 40. Does 15 divide o?
False
Let q = 13 + -8. Suppose -4*b = -q*p + 360, p - 3*b + 4 = 65. Is 18 a factor of p?
False
Is ((-4)/(-18))/((-1)/(-9)) even?
True
Let r(q) = 26*q**2 - 1. Let x = -6 - -5. Let w be r(x). Suppose 4*n - 7 = w. Does 4 divide n?
True
Let d(c) = c + 12. Let x be d(-7). Suppose x*k - 22 = -7. Suppose 0 = -l - l - g + 25, k*l - 3*g = 15. Is l a multiple of 5?
True
Suppose -4*q + 193 = -j - 0*j, 0 = 2*j - 6. Is q a multiple of 7?
True
Let w(f) = f**3 - 2*f**2 - 5*f - 2. Is 5 a factor of w(4)?
True
Suppose 33 = -5*d + 133. Suppose -5*g + 0 = -r - d, -8 = r - 2*g. Does 7 divide 15 - (1 - r/(-3))?
True
Let f(n) = n**3 + 4*n**2 + 2*n - 2. Let k be f(-2). Suppose 0 = u - 2, 0 = -3*t + k*u + 2*u - 8. Does 12 divide (-22)/2*-2 + t?
False
Suppose 3*p + 3*y - 24 = 0, 0 = 5*p - 4*y - 7 - 6. Suppose 5*r - 5*w - 131 = -2*w, -5*r = p*w - 155. Is 14 a factor of r?
True
Let f be -1 + (-3 - (-12)/4). Let g(l) be the third derivative of l**5/5 - l**4/24 - l**3/6 - l**2. Is g(f) a multiple of 12?
True
Suppose 208 = -0*m + 2*m. Is 26 a factor of m?
True
Suppose 2*j - 4*j = 0. Suppose 2*z + 0*z + 28 = j. Let v = z + 44. Is v a multiple of 14?
False
Let h be (-1 - (-6)/(-4))*-2. Suppose -2*y + 55 = h. Does 12 divide y?
False
Suppose 0 = 4*o - 5 - 3. Suppose 4 = -o*v - 4. Is 7 a factor of (35/10)/((-2)/v)?
True
Suppose -4*f = -3*x - 379, -4*x = -2*f + 3*f - 71. Is f a multiple of 7?
True
Let d be (-4 - -2)/(1/(-2)). Suppose d*z - 31 = -7. Is 6 a factor of z?
True
Let k = 75 + -20. Is k a multiple of 25?
False
Let u be ((-1)/1 + 2)*-1. Let p be 3*u + (-16)/(-4). Does 9 divide 105*(-3)/(-9)*p?
False
Let o = 3 - 3. Suppose -3*c = -j - 3 - 4, 5*c + 4*j - 40 = o. Suppose 1 = c*i - 19. Does 3 divide i?
False
Suppose 4*g - 2*v = -5*v + 3, -3*g - 1 = -v. Let b = g + 33. Is 11 a factor of b?
True
Let l(x) = -26*x - 23*x + 12*x. Is 8 a factor of l(-1)?
False
Let a(m) = -m**3 - 5*m**2 + 7*m + 7. Let t be a(-6). Let u be -2*(-2)/t - 2. Suppose 0 = -5*j - 4*s + 56, -46 = -4*j - 3*s - u. Is 5 a factor of j?
False
Suppose 4*a + a + w = 66, 2*a + 2*w = 20. Is 7 a factor of a?
True
Let f(j) = 17 - 9*j - 5*j - 29. Is 24 a factor of f(-6)?
True
Let f(v) = v**3 - 6*v**2 - 9*v + 4. Let a be f(7). Let g = -20 - a. Let y = g + 12. Is y even?
True
Suppose -a - 3*r + 339 = 2*a, a = 3*r + 117. Let h = -33 + a. Does 27 divide h?
True
Let q = -21 - -191. Is q a multiple of 27?
False
Is 26 a factor of (7/(-2))/(21/(-462))?
False
Suppose 0 = -4*u + 8 + 48. Suppose 0 = -3*s + s + 6. Is 13 a factor of u - (-2*1 + s)?
True
Let v(d) = -d**3 - 8*d**2 - d - 10. Let x be v(-7). Suppose 0 = -y + 27 + 65. Let b = x + y. Is 18 a factor of b?
False
Let b(m) = 12*m + 5. Let s be b(5). Suppose -5*a + 25 + s = 0. Is 9 a factor of a?
True
Suppose 0*z - z - 131 = -4*i, 5*z = -i + 17. Is 5 a factor of i?
False
Let t(l) = -l + 10. Suppose 0 = -2*c - 4*q + 4, 5*c - 34 = -0*q + 2*q. Let d be t(c). Suppose -d*w + 24 = -4*o, 0 = -o - 2*o + 3. Does 7 divide w?
True
Suppose -4 = y, -5*u - 6*y = -4*y - 767. Does 8 divide u?
False
Suppose -14 + 40 = 3*d + 5*q, 2*d - 3*q = -8. Is 2 a factor of d?
True
Suppose 0 = 4*s + 5*p - 665, 0*p = -2*s + 3*p + 327. Suppose -o + 6*o = s. Is 12 a factor of o?
False
Suppose -y = -6*y - 95. Let q = y + 33. Does 14 divide q?
True
Let x = 206 - 26. Does 10 divide x?
True
Let t(i) = -7*i**2 - 1. Let n(o) = -4*o**2. Let l(u) = 5*n(u) - 3*t(u). Is 6 a factor of l(-3)?
True
Let k = -32 - -37. Is k a multiple of 4?
False
Let i be (28/(-35))/(4/(-10)). Suppose 3*g - b - 5 - 2 = 0, -5*g - 3 = i*b. Let j(t) = 27*t**3 + t**2 - 2*t + 1. Is j(g) a multiple of 13?
False
Let k = 112 + -26. Is 39 a factor of k?
False
Let l(v) be the second derivative of -v**5/20 - v**4/2 + v**3/3 - 5*v**2 - 6*v. Is 24 a factor of l(-7)?
False
Suppose 5*l + 620 = -500. Does 16 divide l/(-21)*3/2?
True
Is (-7 - -3)/((-4)/26) a multiple of 11?
False
Let k be -4*(0 + 3/(-6)). Let a = k - 1. Is a*1/(-2)*-26 a multiple of 13?
True
Suppose -7 - 3 = -z. Suppose -f = -22 + z. Is 6 a factor of f?
True
Let x(y) = -y - 5. Let j be x(-7). Suppose -j*t = -0*t - 134. Does 19 divide t?
False
Suppose -3*x = -4*p - 19, -3*p - 3*x - 7 = 2. Let t = -4 - p. Is 9 a factor of t - (-2 - (1 - -13))?
False
Let r(j) = 2*j**2 - 3*j + 6. Let q(g) = -5*g**2 + 10*g - 18. Let b(s) = 3*q(s) + 8*r(s). Let c be (0 + 8/(-6))*-3. Is 17 a factor of b(c)?
True
Let y(p) = p**2 + 6*p - 6. Let j be y(-6). Does 13 divide j*2*(-57)/12?
False
Let t(z) = 20*z**2 + z + 1. Suppose -1 = 3*w - 7. Let o be t(w). Is 1/4 - o/(-4) a multiple of 9?
False
Suppose 0 = -g + 5*g. Suppose s = 2 - g. Suppose -24 = -s*w + 10. Does 17 divide w?
True
Is 4*(-4)/(-16) - -71 a multiple of 9?
True
Let n(d) = 2*d - 15. Suppose 0 = -3*t + 9 + 21. Is 2 a factor of n(t)?
False
Let q = 20 + -11. Does 8 divide q?
False
Let f(c) = -6*c - 8. Let w be f(-6). Suppose -s = -4*p - 5*s - w, -4*p + 4 = -4*s. Is 2 a factor of 1/p*(-18 - 3)?
False
Let l(t) = -3*t + 6*t + 3*t**2 + 9 + 4*t. Is 25 a factor of l(-6)?
True
Let p(v) = -v**2 - 16*v - 9. Let o be p(-9). Does 6 divide (o/63)/((-1)/(-28))?
True
Let s(m) = -m - 6. Let x be s(-8). Suppose x*v - 51 = v. Does 17 d