4). Let h be (-4)/14 - c/7. Suppose h = -n + v + 15 - 2, -5*v = 2*n - 5. Is n a multiple of 10?
True
Let w = 30 - -75. Suppose 2*f + 3*f = w. Suppose 2*p + 2*p - x = 27, 0 = 3*p - x - f. Is 6 a factor of p?
True
Let n be 1225/28 - (-2)/8. Suppose 4*b - n = -y, -2*y = b - 32 - 56. Does 13 divide y?
False
Suppose -3*o + z + 137 = -z, o - 3*z = 48. Is 1/2 - o/(-10) even?
False
Let d(o) be the first derivative of o**6/180 + o**5/120 + o**4/24 - 2*o**3/3 + 2. Let i(j) be the third derivative of d(j). Is i(-3) a multiple of 8?
True
Suppose 0 = 6*h - h - 145. Suppose 2*n = 4, -c + 13 = -5*n + 37. Let y = h + c. Does 15 divide y?
True
Suppose 0*o = -3*o. Let w(z) = -z + 4. Is w(o) even?
True
Suppose -2*z = -2 + 14. Let f(y) = -y + 1. Let w be f(z). Suppose -2 = -3*j + w. Is j a multiple of 3?
True
Let v(c) = -7*c**2 + 2*c + 2. Let f be v(2). Let g = f + 59. Is g a multiple of 7?
False
Let h = -29 - -54. Suppose -h = -u + 1. Is 6 a factor of u?
False
Suppose -3*i + u + 0*u + 4 = 0, 4*i + 4 = -u. Let m(x) = x**2 + x + 49. Does 21 divide m(i)?
False
Is (-6300)/(-198) + 2/11 a multiple of 16?
True
Let r(f) = -2*f - 2. Let s be r(-1). Suppose -3*z - 2*z - 2*q + 65 = s, 3*q = -z + 13. Is 6 a factor of z?
False
Let b be -1 + (11 - 2) + -4. Suppose -3*u = 4*c - 238, -b*u = 6 + 2. Is c a multiple of 12?
False
Suppose 92 = -k + 3*k. Is k a multiple of 17?
False
Let x(k) = -25*k**3 - 3*k**2 - k + 1. Does 4 divide x(-1)?
True
Suppose 7*l = 3*l + 5*p + 32, 5*l = -5*p - 5. Suppose l*u = -0*u. Suppose -4*m - 20 = u, 4*m - 1 = 4*k - 77. Is 14 a factor of k?
True
Let m(g) = g**3 - 9*g**2 + g - 6. Let o = -2 - -11. Let n be m(o). Does 13 divide (-1)/(n/(-60)) - 0?
False
Let q(b) be the first derivative of b**2/2 + 5*b - 8. Is q(-3) even?
True
Let i(h) = -2*h - 7. Let l(q) = -3*q - 11. Let u(v) = 8*i(v) - 5*l(v). Let c be u(-3). Suppose s + 3*s + 6 = 2*j, c*s = 0. Is 3 a factor of j?
True
Suppose 0*b - b = -3*k + 22, -2*k + 43 = 5*b. Suppose -210 = -k*c + 4*c. Does 14 divide c?
True
Suppose 4*n - 23 - 233 = 0. Does 20 divide n?
False
Suppose k + 5 = -4*y + 6*k, -5 = -2*y + k. Suppose -y*z + 287 = 107. Is z a multiple of 18?
True
Let f(s) = 7*s**2 - 2*s - 4. Let o be 2/(5/(-2) + 3). Is 25 a factor of f(o)?
True
Suppose 5*u - 11 = 3*u - 5*o, 5*o = 5. Suppose -d = -4*d - u. Is 24*((-3)/6 - d) a multiple of 12?
True
Let b = 199 - 45. Is b a multiple of 27?
False
Suppose -1676 = -7*q + 130. Is 43 a factor of q?
True
Let y be -2 - -3 - (-4)/2. Suppose -5 = 2*a + y. Is 10 a factor of a/(-18) + (-428)/(-18)?
False
Let a = -17 + -31. Is 5 a factor of a/(0 - 4) + -2?
True
Let x = 25 + -18. Let m be 2/x - (-141)/21. Suppose 5*l = -m*p + 2*p + 65, 5*p = -l + 45. Is p a multiple of 8?
True
Let q be 6/1 + -3 + -3. Suppose -2*d + 5*d - 51 = q. Is 6 a factor of (d/(-2) + -3)*-2?
False
Suppose 2*g = g. Suppose 0*u + 8 = 2*u. Suppose -2*m - u*x + 54 = 0, 2*m + 0*m - 2*x - 54 = g. Does 15 divide m?
False
Let k(o) be the third derivative of -2*o**2 + 0 + 1/8*o**4 - 5/6*o**3 + 0*o. Is k(6) a multiple of 13?
True
Let i = 30 - -9. Does 10 divide i?
False
Let g(m) be the third derivative of 3*m**4/4 + m**3/6 + 3*m**2. Does 17 divide g(1)?
False
Let y be (-1 - 2)/(0 - 1). Suppose -2*l = -y*l + 27. Is l a multiple of 9?
True
Let s be 9/(-3) + 1*3. Let c(g) = -g**2 + 3. Is c(s) a multiple of 2?
False
Suppose 5*g + 2*f = 69, -3*g - f = -3*f - 51. Is 15 a factor of g?
True
Let t = 3 - 15. Is (27/t)/(3/(-56)) a multiple of 21?
True
Let a be (-78)/(-8) + (-1)/(-4). Let p(r) be the first derivative of r**4/4 - 3*r**3 - 2*r**2 - 10*r + 2. Does 25 divide p(a)?
True
Suppose -7 = -w - 2*f - 2, -2*f = -2*w + 10. Let j be w + (0/(-3))/2. Suppose 3*b + 20 = j*b. Is 4 a factor of b?
False
Suppose -48 = 52*h - 56*h. Does 12 divide h?
True
Suppose 3*c - 16 = -c. Suppose 2*i = i + 2*l + 40, 3*i + c*l - 110 = 0. Is 11 a factor of i?
False
Let f = 17 - 12. Suppose -4*h + f = -3. Suppose h*w + 3*w = 70. Does 14 divide w?
True
Let q = 35 + -5. Is (45/(-2))/(q/(-40)) a multiple of 15?
True
Let t(u) = -u - 1. Let m be t(-3). Suppose -4*x + 99 = 5*f, m*f - 11 + 89 = 4*x. Let k = -8 + x. Is 8 a factor of k?
False
Does 4 divide 140/(-6)*(-33)/22?
False
Let c be 4/6 + (-20)/(-15). Suppose -c*m = -3*m + 9. Does 8 divide 6/4*84/m?
False
Suppose 2*t - 329 = -119. Let u = t - 48. Let m = u - 40. Does 17 divide m?
True
Let q(k) = 7*k - 4. Let b be q(3). Let n = -10 + b. Does 2 divide n + (-5 - -1) + 2?
False
Let i(m) = -3*m + 2. Let t be i(4). Let c(d) = -d + 2. Is c(t) a multiple of 3?
True
Let g = -6 + 8. Suppose i - 4*i + x = -26, -3*i = g*x - 11. Is i a multiple of 3?
False
Is -2 + 3 + -4 + 69 a multiple of 22?
True
Suppose 0 = 4*w - w - 48. Suppose -w - 4 = -4*n. Suppose n*a + 2*q - 3*q - 140 = 0, -a + 28 = 4*q. Does 14 divide a?
True
Suppose 11*y - 7*y = 216. Does 7 divide y?
False
Let f be (12/30)/((-2)/(-230)). Suppose 3*m = f + 80. Is 14 a factor of m?
True
Let p(n) = -5*n**3 - 3*n**2 + 3*n + 6. Does 23 divide p(-4)?
False
Suppose -49 = 2*p + 5*w - 143, -4*w - 160 = -4*p. Is 7 a factor of p?
True
Let r = -9 + 13. Let q = -4 + r. Does 3 divide 10/2 + (-1 - q)?
False
Let l(s) = -46*s - 2. Suppose k - 15 = -5*b, b + 5*k = -0*k + 27. Let h be l(b). Is 12 a factor of (-1)/(3/(h - 2))?
False
Suppose -6 = y - 19. Is 13 a factor of y?
True
Suppose 3*p = -2*p + 15, a + p - 27 = 0. Is a a multiple of 8?
True
Suppose 0*h - 5*h + 2*g - 10 = 0, 0 = -3*h + 2*g - 6. Let t = 3 - h. Is t a multiple of 2?
False
Suppose 15*u = 1401 + 2514. Does 13 divide u?
False
Suppose -2*s = -9*s + 70. Does 5 divide s?
True
Let l(x) = -10*x + 8. Is 12 a factor of l(-4)?
True
Let m(v) = 3*v**2 - 3. Suppose 0 - 15 = 5*l. Is 16 a factor of m(l)?
False
Let i(y) = 7*y**2 - 2*y. Suppose -6 = -3*k - 0. Let h be i(k). Does 7 divide (-3 + h)*6/9?
True
Suppose n = -0*n + 1. Suppose -5*d + 30 = -5. Let z = d + n. Is 4 a factor of z?
True
Suppose -x + 3*x + 24 = 0. Let k be (28/(-6))/(4/x). Suppose k = -d + 33. Is d a multiple of 19?
True
Suppose 11*p - 81 = 6*p - 3*h, 5*p - h - 73 = 0. Let y = p - -9. Does 12 divide y?
True
Let w(f) = 4*f - 1. Let u be w(1). Suppose 0 = u*y + 2*z - 25, 0 - 15 = -3*z. Suppose -y*k - 3*l + 147 = -0*l, -4 = 4*l. Does 10 divide k?
True
Let a(o) = o**2 - 2*o + 3. Let x(w) = -w + 5. Let j be x(8). Does 9 divide a(j)?
True
Let f = -17 + 64. Suppose 5*a = 23 + 122. Let g = f - a. Does 12 divide g?
False
Let z(n) be the second derivative of n**6/360 - 7*n**5/120 + n**4/6 - n**3/3 + n. Let m(o) be the second derivative of z(o). Is 2 a factor of m(7)?
True
Suppose 5*n = -2*r + 23 - 117, -5*r - 5*n = 235. Let g = r + 78. Is g a multiple of 16?
False
Let k = 56 - -2. Does 21 divide k?
False
Let r = 540 - 40. Is 14 a factor of (-18)/(-81) - r/(-18)?
True
Suppose 0 = -2*w + 3*w - a - 20, -3*w + 55 = -2*a. Is 3 a factor of w?
True
Let o be 0 + 1 - -5*4. Suppose 0 = -3*y + 72 - o. Is y a multiple of 7?
False
Suppose -14*k + 936 = -1346. Does 23 divide k?
False
Let x be ((-8)/(-20))/((-1)/(-10)). Suppose -3*t + x = 7, 3 = h + t. Suppose 2*o - 3*o - h*d + 42 = 0, -3*o = 4*d - 94. Is o a multiple of 19?
False
Let r(w) = -5*w - 1. Let p(u) = 10*u + 2. Let i(x) = 2*p(x) + 5*r(x). Is i(-1) a multiple of 2?
True
Let b(y) = 5*y - 9. Let x be b(9). Suppose 3*l - 33 = -4*u - 0*u, x = 2*l - 2*u. Is 7 a factor of l/3 - (-4)/2?
True
Let m be 1 - 0 - (-4 - 103). Does 11 divide 2/5 + m/5?
True
Let a be 1/2 - 2/4. Suppose -166 - 384 = -5*c - 5*w, a = -3*c - 2*w + 332. Suppose -3*t + c = t. Is t a multiple of 14?
True
Let t = 131 + 44. Is t a multiple of 35?
True
Suppose -290 - 1294 = -6*m. Is 37 a factor of m?
False
Let u = -5 + 5. Suppose -4*z + 2*h + 42 = u, 3*h = 8*h + 25. Does 4 divide z?
True
Suppose -4*r + 284 = -28. Let a = r - 54. Is 8 a factor of a?
True
Is 4 a factor of 4/3*66/16*8?
True
Let x = 76 - 44. Is 32 a factor of x?
True
Let v(i) = -i**2 - 6*i. Suppose 3*s = -2*s + 30. Suppose k - s*k = 20. Is v(k) a multiple of 8?
True
Let a = 140 - -28. Is a a multiple of 42?
True
Let i be 70/(-21)*(-12)/10. Let j be (405/(-6))/(i/(-8)). Suppose -3*y = 4*k - 55 - 55, -3*k = 4*y - j. Is 10 a factor of y?
True
Is 64 a factor of -2 + (-1305)/(-10) - 1/2?
True
Let y(w) = -4*w - 12. Does 13 divide y(-8)?
False
Suppose -i - 2*o + 5 = -5*o, 2*i = -3*o + 28. 