)?
False
Let w(i) be the first derivative of 2*i**3/3 - i**2/2 + 1. Suppose -4*n = 3*l - 7, 2*n - 3*n - 5*l + 23 = 0. Is 10 a factor of w(n)?
True
Let g = 27 + -15. Does 21 divide g/(-8)*(-14)/1?
True
Let s(l) = 3*l**2 + l - 1. Let t be s(1). Suppose 2*a + 6 = t*a. Does 5 divide a?
False
Let t be (-6)/14 + (-405)/(-63). Suppose t = 3*g, -5*g - 24 = -u - 0*g. Is 13 a factor of u?
False
Suppose 0*d = 2*d - 4. Is 20 a factor of 55 + 0 + -4 + d?
False
Suppose -1 = -z - 2. Is 40 - 2*(z + 0) a multiple of 14?
True
Let l be (-18)/(-24)*1*4. Suppose -5*v + 5*h - l = -8, -v = 4*h - 16. Does 15 divide v/10 + 206/10?
False
Let o(c) = c**3 + 3*c**2 - 4*c + 3. Let a be o(-4). Suppose a*t = 3*u, -5*t + 9 = -6*u + 4*u. Suppose -i + 1 + t = 3*w, 5*w = i - 4. Is i even?
True
Suppose 0 = -2*l - 3 + 1. Let z(r) be the first derivative of -13*r**2/2 + 1. Is 12 a factor of z(l)?
False
Suppose 0 = 4*z - z. Suppose -3*w + 8*w - 25 = z. Is w a multiple of 5?
True
Suppose 5*f + 4 = -m, -5*m - 15 - 5 = -3*f. Let z = 7 + m. Suppose -95 = -z*v - 11. Does 12 divide v?
False
Suppose -5*p = 2 - 7. Let v be 1 - (-79 - 0)*p. Suppose 5*q + s = 80, -s = -5*q - 3*s + v. Does 8 divide q?
True
Let w be (4/(-6))/((-2)/(-18)). Let k = 7 + w. Is 7 a factor of (-73)/(-3) + k/(-3)?
False
Let c = -45 + 77. Is c a multiple of 16?
True
Let k(s) = s**2 + s - 24. Let p(f) = 3*f + 11. Let n be p(-7). Does 22 divide k(n)?
True
Let f = -10 + 13. Suppose 7*s = 2*s. Suppose s = -z + 2*w + w + 25, -f*z = -w - 59. Does 14 divide z?
False
Suppose 0 = -0*a + 2*a. Suppose 30 = -a*g + 2*g. Let o = g + 7. Is 10 a factor of o?
False
Let x(n) = 4*n**3 + n**2 - n - 1. Let j be x(-1). Let t(h) = 4*h + 4 - h**3 - 1 - 4. Is t(j) a multiple of 14?
True
Let b(p) be the first derivative of 5*p**2/2 + 6*p + 1. Is b(11) a multiple of 14?
False
Is (-68)/(-18) + (-6)/(-27) a multiple of 2?
True
Suppose 0 = 3*z - 3 - 9. Let x = 1 + z. Suppose -x*g + 25 = 5*c, -5*c = -5*g - 2*c + 33. Is g a multiple of 6?
True
Is (72/6)/((-3)/(-18)) a multiple of 9?
True
Let w = -50 - -254. Is w/18 - 2/6 a multiple of 5?
False
Let c(h) be the third derivative of -h**6/120 + h**5/10 - h**4/6 - 5*h**3/6 - 2*h**2. Does 6 divide c(4)?
False
Is 25/2 - (1 + (-6)/(-12)) a multiple of 11?
True
Let y(g) = -4*g + 1. Let w be y(1). Let p(h) = 2*h**2 + 1. Is 4 a factor of p(w)?
False
Suppose -w + 19 = -14. Does 11 divide w?
True
Let k(l) = -l**3 + 10*l**2 - 6*l - 11. Let r(f) = 2*f**3 - 19*f**2 + 11*f + 23. Let v(t) = 5*k(t) + 2*r(t). Does 8 divide v(11)?
True
Let d(g) = -3*g**2 + g + 3 - 3. Let h be d(-1). Does 11 divide (189/12)/(-3)*h?
False
Let s(c) = 2*c**3 - 3*c**2 - 2*c + 2. Let o(x) = -x**3 - x + 1. Let f(m) = -o(m) - s(m). Is f(3) a multiple of 6?
True
Suppose 2*p - 6 = -p. Suppose p*y + 3*y = 0. Suppose y = -r - 4, 0 = -3*v - 2*r - 2*r - 4. Does 3 divide v?
False
Let b = -44 + 139. Does 18 divide b?
False
Does 17 divide -1 + 1 + 48 + -12?
False
Let l(g) = 255*g**2 - g + 2. Is 37 a factor of l(1)?
False
Let y = 25 + -7. Suppose 3*a = a. Let s = y + a. Is s a multiple of 8?
False
Let s = 2 + 8. Does 3 divide s?
False
Let s be (-4)/6 - 8/(-3). Suppose -h - 11 = -s*h + i, 0 = 3*h + 5*i - 65. Is 7 a factor of h?
False
Let d be ((-4)/(-10))/(1/60). Suppose -x = -d - 8. Is x a multiple of 26?
False
Suppose r = -4*r + 105. Is 5 a factor of r?
False
Let l(n) = n**3 + 5*n**2 + n + 7. Suppose -6*w + w = -15. Let f = w - 8. Is l(f) even?
True
Let m(o) = o**3 - 20*o**2 + 2*o - 4. Is 6 a factor of m(20)?
True
Let t = -17 - -30. Is t even?
False
Suppose 3*z - 103 = x + 373, 20 = 5*x. Is z a multiple of 32?
True
Let w = -51 - -91. Is w a multiple of 20?
True
Let x be 10/(-2)*(-3)/5. Suppose x*l - 3*w - 34 = -2*w, l - 18 = -w. Is 12 a factor of l?
False
Let q = 17 - 14. Let b = q + 6. Is 3 a factor of b?
True
Is 3 a factor of 144/(-12)*(-2)/8?
True
Suppose -4*m + 7 + 81 = 0. Suppose g + m = -14. Is 10 a factor of ((-45)/g)/((-2)/(-32))?
True
Let b = 73 + -21. Suppose -4*u - 10 + 22 = 0. Suppose 32 = u*o - b. Is o a multiple of 14?
True
Let w = -3 - -13. Suppose w = 2*z - 0*z. Suppose z*l = 2*l + 9. Is l even?
False
Suppose -4*q = -5*g + 597, -2*g - 4*q = g - 339. Does 24 divide g?
False
Suppose -5*o - 2*i + 23 = 0, 23 = 4*o - i - 2*i. Let z(k) = -4 - o*k**3 + 4*k**3 + 3*k**3 - 3*k. Is 17 a factor of z(3)?
False
Suppose -5*j - 5*z = -35, 7*j = 3*j - 3*z + 29. Is 3 a factor of j?
False
Let n be (-2 + 12)*44/8. Let g = -37 + n. Is g a multiple of 9?
True
Suppose 0 = -0*l + 5*l + 5. Does 12 divide l*(0 + 1)*-24?
True
Suppose -p + 61 = -170. Does 33 divide p?
True
Let u(q) = -q**3 - q**2 + 2*q + 2. Let o be u(-2). Is 7 a factor of 15 + 1/(-2)*o?
True
Let h = 19 - -8. Let q = 63 - h. Does 12 divide q?
True
Let p be ((-15)/12)/((-2)/8). Suppose 3*u + 47 = n, 0*n + 3*u - 289 = -p*n. Is n a multiple of 19?
False
Suppose -s - 13 = -2*i, 3 + 12 = 5*i + s. Suppose i*o - 8 = 2*o. Suppose -o*y + 13 + 187 = 0. Does 20 divide y?
False
Let b be 0 + (1 - -2) + -34. Does 9 divide (-2)/(2 + 64/b)?
False
Does 11 divide ((-20)/5)/12 + (-184)/(-3)?
False
Let d be 1/(3/6 + 0). Suppose 0 = 3*v + 2*b - 16, 0*v + b - 1 = d*v. Is ((-18)/(-10))/(v/10) a multiple of 7?
False
Suppose -5*v = -s + 115, 2*s + 4*v - 218 = 8*v. Suppose 102 = 3*k - s. Is k a multiple of 23?
True
Let b = -82 - -142. Does 20 divide b?
True
Let c(b) = -3*b + 3. Does 5 divide c(-2)?
False
Let h(w) = -w**2 - 10*w + 5. Suppose 5*m = 4*p - 56, -17 + 5 = -3*p. Is h(m) a multiple of 11?
False
Is 264/(-9)*(-45)/12 a multiple of 27?
False
Let j(z) = 9*z**2 - 2*z + 8. Does 10 divide j(2)?
True
Suppose -3*t - 556 = -7*t. Suppose l - t = -5*j + 22, 2*l = 2. Does 23 divide j?
False
Let r = 70 + -31. Let w = r + -23. Is 8 a factor of w?
True
Let t(y) be the first derivative of -y**4/8 + y**3/6 + y**2 + 2. Let p(z) be the second derivative of t(z). Does 4 divide p(-2)?
False
Let c(t) = 2 - 6*t - 4 - t**3 - 5 - 8*t**2. Let y be c(-7). Is y/8*(-28 - 0) a multiple of 15?
False
Let a = -20 - -5. Let z = 75 + a. Is z a multiple of 15?
True
Let i be ((-20)/16)/((-1)/(-8)). Let b = i + 24. Is 6 a factor of b?
False
Let h be (-124)/(-8) - 2/(-4). Suppose 3*v - h = -1. Is 5 a factor of v?
True
Let x(d) = -d**3 + 7*d**2 - 7*d + 9. Let p be x(6). Suppose -g = -0*g + 1, p*g = 5*j - 63. Suppose -i = -2*i + j. Is i a multiple of 8?
False
Is 23 a factor of (742/(-35))/(1/(-15)) + 4?
True
Let p = 0 + 26. Let i = p + -17. Is 3 a factor of i?
True
Let t(v) = -v**3 + 2*v**2 + 4*v. Does 11 divide t(-3)?
True
Let u(v) be the first derivative of v**6/90 - v**4/12 + v**3/3 + 1. Let d(c) be the third derivative of u(c). Is d(2) a multiple of 14?
True
Suppose 3*q = -141 + 57. Is 2 a factor of q/(-8) + 6/(-4)?
True
Suppose -2*a = -0*a - 14. Let s = a - -7. Does 7 divide s?
True
Suppose 2*i - 4 + 0 = 0. Suppose 0 = -0*p + i*p - 10. Does 2 divide p?
False
Let h(d) = -d**2 + 3*d + 1. Let k be h(5). Let z be k/6*(-20)/6. Does 6 divide (-8)/(-20) - (-58)/z?
True
Let n(r) = -r - 4. Let h be n(-6). Suppose 3*g - 7 - h = 0. Suppose p + 5*a - g = 12, 3*a + 27 = 3*p. Does 5 divide p?
True
Suppose -u - 5*l - 352 = 0, -l = -u - 3*u - 1303. Let m = -158 - u. Suppose -4*x + s = -136, -x = 4*x - s - m. Is 11 a factor of x?
True
Suppose 0 = -3*t - 2*t - 10. Suppose 6 = -3*r - 45. Does 14 divide 1 + (t - 0)*r?
False
Let c be 42 + 0 - (-2 - -1). Suppose -3*q + 269 = 5*r - c, -r - 2*q + 68 = 0. Does 23 divide r?
False
Is (-2000)/120*24/(-10) a multiple of 11?
False
Let s(w) = w + 17. Let n be 1/(-2)*0 - 2. Let f = 2 + n. Is 7 a factor of s(f)?
False
Let r(n) be the third derivative of n**4/24 + 7*n**3/3 + 5*n**2. Does 10 divide r(13)?
False
Let g = -8 - -8. Suppose g*k + 9 = -r + 4*k, 2*k = 2*r - 12. Is 10 a factor of r?
False
Let l(d) = d + 3. Let v be l(-3). Let b be 3 - v - (4 + -5). Does 24 divide 194/b - (-3)/2?
False
Let c = -5 - -7. Suppose c*q - 18 = 84. Is q a multiple of 18?
False
Suppose 3*j - 11 - 1 = 0. Suppose -k = -1 - 1. Suppose k*x - x = j. Is x even?
True
Let z be 66/18 + (-4)/6. Suppose -m - r = -8, 4*m + 0*m - 39 = z*r. Is m a multiple of 9?
True
Suppose -d = -3*d + 154. Suppose 0 = -3*v + d + 31. Is v a multiple of 18?
True
Suppose -8*x + 70 = -34. Is x even?
False
Is 39 a factor of 48 - (0 - -4)/(-2)?
False
Suppose 0 = 3*q + 2*t - 20, 2*t 