alse
Let j = -21 + 33. Suppose 4*c = -3*l + 2*c + 26, 0 = -4*l + 3*c + j. Suppose -l*b + 2*b + 68 = 0. Is 17 a factor of b?
True
Suppose -23 - 7 = -2*t. Let w = t - -1. Is w a multiple of 16?
True
Suppose -3*b - 2*z = -33 - 100, 3*z = -b + 49. Does 15 divide b?
False
Suppose 11 = 5*x + 1. Let u(h) = 4*h + 0 - x + 5*h. Does 8 divide u(2)?
True
Suppose -2*u + 98 = 2*k - 20, -121 = -2*k - 3*u. Suppose 3*j - 3*a - 47 = -11, 3*j = -a + k. Is 6 a factor of j?
False
Suppose -88 = -c + 3*v, 0 = -5*c - 3*v + 541 - 155. Is 25 a factor of c?
False
Does 12 divide 60*(11/(-5) - -3)?
True
Is 2 + -4 + 30 + 2 + -1 a multiple of 6?
False
Suppose 4*z + 5*q = 2*z - 45, -q - 63 = 4*z. Let r be 1/(-1) + z - 1. Let x = r + 34. Is 17 a factor of x?
True
Does 12 divide 56/10*(-210)/(-28)?
False
Let t = 468 - 230. Is 17 a factor of t?
True
Suppose -5*z - 21 = 14. Let g(i) = 5*i - 1. Let k(f) = f - 1. Let c(q) = -g(q) + 4*k(q). Is c(z) a multiple of 2?
True
Let i(n) = -n**3 - 6*n**2 + n + 8. Let w be i(-6). Suppose 32 = 3*m - 4*g, g + 20 = w*m - 2*g. Is m a multiple of 8?
True
Let k = -34 + 57. Let s = 38 - k. Suppose 0 = -o + 2*o - s. Is o a multiple of 9?
False
Suppose -3 = n - 6. Suppose 0 = -2*o - n*o - 45. Let w = 16 + o. Is 7 a factor of w?
True
Let m(f) = 39*f + 13. Is m(3) a multiple of 26?
True
Suppose -2*s + 4 = 4*a, 2*a - 16 = -5*s - 6. Suppose 4*v = -a*v + 152. Suppose 2*o = 10 + v. Is o a multiple of 12?
True
Suppose 3*j - 8 - 1 = 0. Suppose 3*a + 3*o = 0, -4*a + 5*o + 24 = j*o. Let h(k) = -k**3 + 4*k**2 + k + 4. Is 5 a factor of h(a)?
False
Is 1144/16 - -1 - 1/(-2) a multiple of 11?
False
Suppose 5*g = -1 + 16. Suppose -g*d - n = -136, 3*d + 32 - 184 = -5*n. Is 11 a factor of d?
True
Suppose -5*g - 5*z - 5 = 0, 7*g = 3*g + 4*z + 28. Let v be 35/1 + g + -1. Suppose 15 + v = 2*d. Does 13 divide d?
True
Let v(w) = w**2 - 4*w. Let z be v(4). Let m = 5 - z. Suppose -m*n + 70 = 2*j, 0 = n + 6*j - 7*j - 7. Is 5 a factor of n?
False
Let w be (-11)/2*-4 + 1. Let g = 6 + w. Is g a multiple of 7?
False
Let z = 61 - 46. Is z a multiple of 12?
False
Let r = 148 - 100. Does 16 divide r?
True
Suppose -80 = -5*p + 40. Does 2 divide p?
True
Suppose -5*h + u - 4 = -1, 2*h = -3*u + 9. Suppose 0 = -2*r - h*r + 34. Does 17 divide r?
True
Suppose -11*w = -6*w + 25, -4*v + 4*w + 476 = 0. Does 6 divide v?
True
Let a be ((-10)/(-8) + 3)*4. Suppose -5*t - 3*f - 2*f = -25, -5*f + a = 4*t. Does 3 divide t?
False
Let l(o) = o - 3. Let a be l(10). Let k(p) = 3*p - 8. Is 4 a factor of k(a)?
False
Is 57 + (2 - (2 + 1)) a multiple of 13?
False
Let d = -10 - -14. Let l(m) = 40*m**3 - 8*m**2 + 8. Let k(f) = -13*f**3 + 3*f**2 - 3. Let q(u) = d*l(u) + 11*k(u). Does 17 divide q(1)?
True
Let d(p) = -p + 11. Does 13 divide d(-11)?
False
Let z(t) = -4. Let n(s) = -s - 5. Let u(o) = 4*n(o) - 5*z(o). Let h(v) = -v - 18. Let p be h(-11). Is u(p) a multiple of 14?
True
Suppose -3*c = c - 52. Suppose -4*r + 83 = 3*h, 4*h + c = 3*r - 43. Is r a multiple of 20?
True
Let x(k) = 3*k - 5. Let q(v) = -7*v + 9. Let j(s) = 2*q(s) + 5*x(s). Let u be j(-5). Let l = 28 + u. Is 16 a factor of l?
True
Suppose -w + 2*w = 12. Let n = -6 + w. Is n a multiple of 6?
True
Suppose -2*c + 5*n = -3*c + 27, -n = -5. Suppose -7*o = -q - c*o + 35, o = 3*q - 35. Is 6 a factor of q?
False
Let i(z) = z**3 - z**2 + 134. Is i(0) a multiple of 20?
False
Suppose 0 = -0*r + 6*r - 42. Is 7 a factor of r?
True
Let v be (-10)/(-20) - (-17)/2. Is -6*((-78)/v + 2) a multiple of 20?
True
Suppose -180 = -2*n + s, -2*n + 4*s - 281 = -5*n. Suppose 4*w = -q + 249, -2*w - 2*q + 5*q + 121 = 0. Let m = n - w. Does 8 divide m?
False
Let a = 726 - 442. Is a a multiple of 52?
False
Suppose -14 + 7 = -3*g - i, -9 = -5*g - 3*i. Let a(z) = -z**3 + 5*z**2 - 2*z. Let b be a(g). Suppose -v + 0*v = -b. Is 12 a factor of v?
True
Let a = -163 - -256. Let i be (3 + -4)*65/1. Let m = i + a. Is m a multiple of 12?
False
Suppose -3*i + 0*i + 183 = 0. Let m be 2 - (3 - (-2 + i)). Suppose -2*v = -0 - m. Is 13 a factor of v?
False
Let k(h) be the second derivative of -h**5/20 - h**4/2 - h**3/6 - h**2/2 + 3*h. Let j = -10 + 4. Is 5 a factor of k(j)?
True
Let f = -55 - -116. Is f a multiple of 13?
False
Let u(y) = -y**2 + 8*y - 2. Let a be u(6). Suppose -z - 5*g + a = 0, g = -z + 6*z - 50. Is 10 a factor of z?
True
Let q(i) = 4*i + 5 + i**3 + 4*i**2 + 3*i + 2*i**2. Suppose c + 5 = -w, -2*c + 5*c - w = -11. Is q(c) a multiple of 6?
False
Suppose 0 = -0*y + 5*y - 75. Let a = -1 + y. Is 13 a factor of a?
False
Suppose 5*p - 2*q = 2*p - 751, -4*p - 3*q - 1024 = 0. Let b = -126 - p. Suppose 4*y = 5*s - 0*s + b, 3*y = -s + 81. Is 11 a factor of y?
False
Let w(f) = 3*f - 9. Let d(g) = 4*g - 2. Let z be d(2). Is w(z) a multiple of 9?
True
Let z = 2 - 2. Suppose -4*s = -3*w + 25, z = 2*w - 0*w - 5*s - 26. Is w even?
False
Let z(a) = a**2 + 2*a + 1. Let y be 28/(-8) + 2/4. Does 2 divide z(y)?
True
Does 39 divide (-4 + 28)*(-78)/(-24)?
True
Suppose -2*g + g - 7 = 0. Let z = 6 - g. Does 5 divide z?
False
Let n(p) = p**3 - 2*p**2 - 5*p + 5. Does 9 divide n(4)?
False
Is (-1029)/(-13) + (-4)/26 a multiple of 33?
False
Let j be 1/(-3) - (-7)/3. Suppose -366 = -10*f + 7*f. Suppose x = -5*l + 66 + 85, 0 = 4*l + j*x - f. Is l a multiple of 15?
True
Let m(x) = x**3 + 5*x**2 - 7*x + 3. Does 3 divide m(-6)?
True
Suppose 0 = t + y - 46 - 56, 0 = 2*y + 4. Is 25 a factor of t?
False
Let t(g) = g**3 - 2*g**2 - 2*g - 5. Let b be t(4). Suppose 4 = q - b. Is 12 a factor of q?
False
Let j(p) = p**2 - 5*p + 2. Suppose 4*f + 2 = 2*r, -4 = -5*r + f + 19. Let w be j(r). Does 14 divide (37/(-3))/(w/(-6))?
False
Let v be (4/6)/((-3)/(-9)). Let f be (-12 - -13)*-1*6. Is 6 a factor of (f/1)/(v/(-2))?
True
Suppose 5*n + 0*n = 0. Suppose n = -2*c - 0*c + 84. Is 11 a factor of c?
False
Let r(h) be the third derivative of h**6/12 + h**3/6 - 2*h**2. Does 7 divide r(1)?
False
Suppose -b + 0 = -5. Let z(a) = 9*a - 6. Does 11 divide z(b)?
False
Suppose -l + 79 = t, 7*t = -5*l + 4*t + 391. Does 11 divide l?
True
Let q(o) = 4*o**3 - 3*o. Let a be q(-3). Let k = -52 - a. Is k a multiple of 25?
False
Let i be 0*(1 - (-1 + 3)). Suppose -2*r - 4 = i, -5*z + 5*r = 4*r - 37. Is 3 a factor of z?
False
Suppose 2*g + 7*g - 45 = 0. Is 5 a factor of g?
True
Suppose -4*f - 40 = -3*l - 0*f, -4*l = f - 47. Suppose o + 0*o = l. Suppose j = -4*g - 0*j + 54, 0 = -g - j + o. Is 14 a factor of g?
True
Let b(y) = 3*y - 1. Let t be b(5). Let p be (-25)/(-9) + t/63. Suppose 0 = -2*c + 5*k + 59, -p*c + 101 = -0*c + 5*k. Does 16 divide c?
True
Let d(f) be the second derivative of f**5/60 + 5*f**4/12 + 13*f**3/6 - f**2/2 - 2*f. Let m(y) be the first derivative of d(y). Is m(-10) a multiple of 7?
False
Let q = -78 + 52. Suppose 3*s + 4*v = 178, 5*v = 5*s - 134 - 116. Let z = q + s. Does 14 divide z?
True
Let u = -73 + 106. Is u a multiple of 5?
False
Let k(p) = 3*p + 6. Let n(d) = 10*d + 17. Let w(h) = 7*k(h) - 2*n(h). Let l be w(0). Suppose l = r + 3*r. Is r even?
True
Suppose 6*p - 1709 = 595. Is p a multiple of 48?
True
Let x(r) = 9*r**2 + 2*r + 1. Let n = 4 + -3. Let h = n - 2. Is 5 a factor of x(h)?
False
Let i(x) = -x**2 + 5*x. Let d be i(5). Suppose 4*o + 3*h + 85 = d, 0*h - 4*h + 45 = -o. Let r = 27 - o. Does 15 divide r?
False
Suppose 0 = -3*j - 5*o + 20, 0 = -6*o + o + 5. Suppose -2*n - 2*c = -22, -5*n - 3*c = -j*c - 20. Is n a multiple of 6?
True
Suppose -75 = -2*l + 45. Is l a multiple of 12?
True
Suppose 0 = -3*m + 5 + 4. Let u(p) = -2*p - m - 6 - p. Does 12 divide u(-7)?
True
Suppose -h = -3*h. Is 1 + (2 - (-3 + h)) a multiple of 3?
True
Let y be (-4)/18 - (-561)/(-27). Let w = 14 - y. Does 21 divide w?
False
Suppose 2*h = -4*a + 45 + 271, -162 = -h - 3*a. Let b(c) = 17*c + 6. Let m be b(-6). Let y = m + h. Is 22 a factor of y?
False
Suppose y + 185 = 3*k - 0*k, -3*y - 183 = -3*k. Is k a multiple of 31?
True
Let u = 3 - -4. Suppose 0 = 5*t - u + 72. Let j = t + 34. Does 16 divide j?
False
Is (0 - 22)*4/(-4) a multiple of 11?
True
Suppose 0 = 3*p - b - 64, -3*b + 0*b = -2*p + 52. Let a = p + -49. Let z = 14 - a. Is z a multiple of 22?
False
Suppose 2*q + 18 + 1 = 5*p, 16 = -3*q + 5*p. Suppose 0 = q*i - 5*i + 12. Is 4 a factor of i?
False
Let f = 24 + 12. Does 12 divide f?
True
Suppose 2*u - u + 17 = 3*c, -3*u + 3 = 0. Su