 - 1. Let g(k) = 4 + 0 - 7*k + 10*k**2 + 4. Let s(j) = g(j) + 6*v(j). Does 8 divide s(2)?
True
Suppose -3*l - 5*d = -16, -2*l - 3*l - 30 = -3*d. Let h be 2*l/3 + -2. Let i(s) = -s**3 - 4*s**2 - 2*s + 5. Does 7 divide i(h)?
False
Let q be (102/(-12))/(2/(-28)). Suppose 3*k = -5*j + q, -3*j + 0*j + 69 = 3*k. Does 10 divide j?
False
Suppose -2*k + 22 = 4*s - 12, 3*s + 2*k - 27 = 0. Let l be (0 + -1)/(s/(-28)). Suppose -24 = t - l*t. Does 3 divide t?
False
Suppose 5*d + 69 - 594 = 0. Is d a multiple of 29?
False
Suppose -2*j - 9 - 53 = 0. Let g = -14 - j. Does 17 divide g?
True
Let w(u) be the second derivative of u**4/12 + u**3/3 - u**2/2 - u. Does 18 divide w(-8)?
False
Let l(t) = 3*t - 4. Let c be 0 + -3 + 9 - -1. Does 8 divide l(c)?
False
Let i(b) = -b**2 + 2*b + 100. Let j be i(0). Let y be 2 - (2/1 - -64). Let a = j + y. Is a a multiple of 18?
True
Let t(d) = d + 4. Let a be t(0). Suppose o + 0*o = -a*k - 8, 2*o + k + 2 = 0. Suppose 4*h + h + i - 28 = 0, o = -5*h + 2*i + 34. Is h a multiple of 5?
False
Let h(q) = -11*q**2 + 26*q - 8. Let g(d) = 5*d**2 - 13*d + 4. Let y(f) = 13*g(f) + 6*h(f). Is y(-11) a multiple of 24?
False
Let y(b) = b - 3. Let u be y(9). Suppose -2*c = -c + 3*g - 50, 2*g - 52 = -c. Suppose u*a - c = 2*a. Is a a multiple of 7?
True
Let c(t) = -t**2. Let f(p) = -p**2 + p - 1. Let w(x) = -6*c(x) + 4*f(x). Is 8 a factor of w(-4)?
False
Let x = -184 + 264. Is 16 a factor of x?
True
Suppose 10*d - 334 = 56. Is d a multiple of 39?
True
Let l = 4 - 4. Let q = -3 - l. Let b = q - -7. Is 3 a factor of b?
False
Let m(c) = c**2 - 4*c - 10. Is 6 a factor of m(-3)?
False
Suppose 2*g - g = 0. Suppose -2*c + n + 12 = g, 2*c + 2*n = -3*n + 36. Suppose -c = -2*f + f. Does 8 divide f?
True
Let r = -36 + 2. Let o(f) = -f**2 + 2*f + 5. Let t be o(4). Is (t - -2)/(2/r) a multiple of 9?
False
Let p(o) = -o + 51. Is p(-12) a multiple of 7?
True
Suppose -367 = -2*q - 67. Does 5 divide q?
True
Let f(v) = -v**3 + 8*v**2 + 4*v - 2. Let o be f(8). Suppose c + 4*x = -0 + 6, 2*c - o = x. Does 7 divide c?
True
Let l be (-1)/(-1) + 0 + -1. Is 17/(1*(1 + l)) a multiple of 17?
True
Suppose 4 = 2*f - 20. Does 4 divide f?
True
Suppose 0 = 2*m - 6*m + 5*c + 1331, m - 2*c = 332. Does 47 divide m?
False
Let j = 12 - 7. Suppose 10 = -j*n + 235. Does 19 divide n?
False
Is (-4)/(-18) - (-387)/81 a multiple of 2?
False
Let u(m) = -4*m + 4*m - 1 - m + 2. Let n be u(1). Suppose -2*b + 10 + 22 = n. Is 5 a factor of b?
False
Let x(a) = -a**2 - 6*a + 5. Let l be x(-7). Let k(r) = -r + 5. Let u be k(7). Does 14 divide 0/u + l + 16?
True
Let s = -14 - -14. Is 6 a factor of 17 + s - (-2)/2?
True
Suppose 5*s - 5 = 3*a, 0*s + 5*a - 13 = 3*s. Let l(o) = -3 - o**3 + 6*o + 2*o**3 - o**2 + 0*o**2 - 4*o**2. Is l(s) a multiple of 2?
False
Suppose 2*a - 2 = 6. Let q be 29/4 - 1/a. Let d(n) = -n**2 + 10*n - 7. Is d(q) a multiple of 14?
True
Let u = -8 - -12. Suppose 2*g + u = 6*g. Is 15/(g/((-2)/(-3))) a multiple of 4?
False
Is 33 a factor of 3/1 - (-3)/3*30?
True
Let u(a) be the first derivative of a**3/6 + 7*a**2/2 - 3*a - 3. Let q(v) be the first derivative of u(v). Is q(-4) even?
False
Let m(w) = -109*w**3 + 2*w + 3. Does 11 divide m(-1)?
True
Let a = 2 + 0. Suppose -6*k + a*k = -3*w + 17, -w + 5*k + 24 = 0. Let s(o) = -4*o**3 + o**2 + o. Is 3 a factor of s(w)?
False
Suppose -1 = -t + 2. Suppose -t*z - 2*f + 40 = 0, 4*z + 5*f = -z + 75. Does 10 divide z?
True
Suppose 0 = -7*h - 0*h + 42. Is h a multiple of 6?
True
Let i(p) = 6*p - 6. Let s be i(4). Suppose s = 3*g - 3. Is g a multiple of 7?
True
Let s = 385 + -64. Is 45 a factor of s?
False
Let f = 1 + -3. Does 12 divide (-123)/(-9) + f/3?
False
Suppose 5*z = 2*o + 6 - 2, 8 = -3*z - 4*o. Suppose 0*d - 70 = -3*a + 2*d, -2*d + 8 = z. Is 13 a factor of a?
True
Let h(u) = -4*u**3 - u**2 - 3*u - 2. Does 8 divide h(-2)?
True
Let a(m) = -21*m + 41. Does 21 divide a(-5)?
False
Let o(v) = 6*v + 1. Let l be o(-1). Let q be (-2 - -1)*1*l. Suppose 0*z = q*z - 85. Is 7 a factor of z?
False
Let x be (6/(-12))/(2/(-332)). Let s = -49 + x. Is s a multiple of 15?
False
Let n(s) = s + 21. Does 6 divide n(14)?
False
Let h(q) = -q**3 - 16*q**2 - 16*q + 49. Is 16 a factor of h(-15)?
True
Suppose -4*d = -4*x - 24, -5*d - 2*x = -6*x - 32. Does 8 divide d?
True
Let f(u) = 2*u**2 - 3*u - 10. Is f(4) a multiple of 10?
True
Suppose 3*f = -w + 23, -2*f + 3*w + 27 = f. Let c(u) = u**2 - 8*u + 7. Does 3 divide c(f)?
False
Let i be 0 - 90/(-1 + -2). Let t = i + -12. Does 7 divide t?
False
Suppose 5*r = -67 + 7. Let a = -6 - r. Let w = 1 + a. Is w a multiple of 3?
False
Suppose -k + 2 = 15. Let a = 27 + k. Does 7 divide a?
True
Let r(x) = -x**3 + 12*x**2 + 5*x - 9. Does 8 divide r(11)?
False
Let z(l) = l**3 + 5*l**2 - 3*l. Is z(-4) a multiple of 9?
False
Suppose -2*n = 4*v - 0*v + 4, 4*n = 5*v + 18. Suppose -n*d - 92 = -6*d. Does 21 divide d?
False
Let f = 359 + -228. Does 31 divide f?
False
Let k be 3*-2 - 6/(-3). Let n = -1 + k. Let o = n + 9. Is 3 a factor of o?
False
Suppose -2*f - 2*f + 8 = 0. Suppose f*p = -3*p - 80. Let o = p + 23. Does 7 divide o?
True
Suppose 4*t - 52 = -0*t. Is 12 a factor of t?
False
Suppose -6 + 17 = 3*j - a, 0 = 2*j + a - 9. Let q be (-3)/(-2) + 9/(-6). Suppose q*g = -2*g + j. Does 2 divide g?
True
Let r be (-6)/(-9) + 3/9. Is (99/(-6))/(r/(-2)) a multiple of 11?
True
Suppose f - 163 = -f - w, -25 = 5*w. Is f a multiple of 17?
False
Let b = 123 + -63. Is 34 a factor of b?
False
Let m = -193 + 282. Does 19 divide m?
False
Suppose -6*d = -8*d + 4. Does 2 divide d?
True
Let a be 1*4 - (-8 - -4). Suppose 48 = a*r - 4*r. Is 3 a factor of r?
True
Let h = 0 + 0. Suppose q = -h*q. Suppose q*x + 3*x = 33. Is 11 a factor of x?
True
Let b(s) = s**3 + 14*s**2 + 19*s - 10. Is 16 a factor of b(-9)?
True
Suppose 5*l + 135 = -5*m, 5*m + 0*l = l - 105. Let n = m - -38. Is n a multiple of 16?
True
Suppose 2*w - 20 = -14. Suppose 4*a - 31 - 49 = 0. Let n = a - w. Is n a multiple of 8?
False
Let r be (-3)/((-21)/12 - -1). Suppose -r*f - 22 = -2*f. Let z = f - -32. Is 15 a factor of z?
False
Let c(r) = -r**2 - 8*r + 11. Let x be c(-9). Let o = 18 - x. Is 8 a factor of o?
True
Suppose -8*k - 206 = -3*w - 3*k, 4*k - 294 = -5*w. Is w a multiple of 13?
False
Suppose -19 = -0*i - i + 5*q, 2*q = -2*i + 2. Suppose 0 = -2*n + 2*h + 16, 3*n + 1 = -i*h - 10. Is 2 a factor of n?
False
Suppose 0*y - 3*y + 21 = 0. Is 7 a factor of y?
True
Suppose 6 = 3*l - 6. Suppose 3*b + 3 = 0, 167 = l*s + 6*b - 5*b. Is s a multiple of 21?
True
Let h = -3 - 0. Let v = -6 + 5. Is 11 a factor of 20 - (v + h + 2)?
True
Let b = -47 + 111. Suppose -5*n = i - 161 - b, 2*n = i + 90. Suppose 0*r = 3*r - n. Is r a multiple of 15?
True
Suppose -19 = i - 9*g + 4*g, -2*i = -g - 7. Let x(c) = 3*c**2 - 6*c - 12. Does 30 divide x(i)?
True
Suppose -5*j + 6*u + 70 = u, -j - 5*u = -2. Is j a multiple of 5?
False
Let q = 28 + 22. Is 38 a factor of (-6)/(146/q - 3)?
False
Suppose -h = -2 - 3. Does 4 divide h?
False
Suppose 0 = -26*w + 21 + 915. Does 3 divide w?
True
Let h(x) = x**3 - x**2 + 3. Let f be 2/4*(2 + -2). Let w be h(f). Suppose w*j = d - 6, -3*d + 0*d + 22 = -5*j. Is 4 a factor of d?
False
Suppose -365 + 25 = -4*p. Let l = p - 58. Is 14 a factor of l?
False
Suppose 25 = 5*w, 3*w - 20 = -2*a - 5. Let k(z) = -z**2 - z + 54. Is 9 a factor of k(a)?
True
Suppose -5 = -w - 7. Let k be 5 + w - (1 - 1). Suppose -k*c + 8*c = 175. Is c a multiple of 12?
False
Suppose 0 = 105*j - 102*j - 483. Is j a multiple of 38?
False
Let g = -11 + 8. Let x = g - -6. Suppose 5*t - 42 = x*t. Is 19 a factor of t?
False
Let l(a) = 7*a**3 - a. Let s = 5 - 4. Is 6 a factor of l(s)?
True
Let m = 24 + -10. Is m a multiple of 7?
True
Let s = 4 - -7. Let g = s + 9. Is 19 a factor of -1 + 2 + (g - 2)?
True
Suppose -14 = 2*n - 2*h + 3*h, 12 = -n + 2*h. Let f(s) = -s + 10. Is 6 a factor of f(n)?
True
Suppose -a = -4*a + 129. Is a a multiple of 11?
False
Suppose r - 3 + 5 = 0. Let f be 3/12*r*-10. Suppose -f*z = -116 - 14. Is 13 a factor of z?
True
Suppose 17*a - 12*a = 225. Is a a multiple of 9?
True
Let f(x) = x**2 - 4*x - 36. Is 15 a factor of f(-11)?
False
Let t(z) = z**2 - 4*z - 13. Is t(9) a multiple of 8?
True
Let w be ((-1)/(-2))/(5/40). Suppose -w*b = -2 - 18. Let v(y) = 3*y**2 - 7*y - 2. Is 19 a factor of v(b)