be (-1 + (-6)/(-4))*0. Suppose -3*s - 6 = -u*s. Is (-105)/(-6) + (-1)/s a multiple of 9?
True
Let k = 8 + -13. Does 8 divide 1 + 1 + (2 - k)?
False
Let n(h) = 5*h**3 + 3*h**2 - 3*h + 7. Is 10 a factor of n(3)?
True
Suppose c + 8 = 5*n - 0*c, -5*n + 20 = 5*c. Suppose -97 = -5*m - n. Is 9 a factor of m?
False
Let h(r) = r**2 - r + 51. Let m be -2 - (-7)/((-14)/(-4)). Is h(m) a multiple of 17?
True
Suppose -l + 5*l = 4*d + 100, 3*d + 98 = 4*l. Is l a multiple of 2?
False
Let o(c) = 26*c**3 - c**2 + c - 1. Suppose 4 = s - x, -s - x - 3 = -1. Is o(s) a multiple of 7?
False
Suppose m + 0*m + 59 = 4*y, 2*y + 229 = -5*m. Let i = m + 67. Is 9 a factor of i?
False
Suppose -k = -5*k + 8. Suppose 3 = -a + k*a. Does 19 divide (-2)/a - 488/(-12)?
False
Suppose -2*i + 3*i = 4*v + 24, -5*v = i - 69. Is i a multiple of 11?
True
Let d = 81 + -39. Let n = d - 25. Does 5 divide n?
False
Let z(o) = 5*o - 1. Let v be z(5). Is 230/6 - (-16)/v a multiple of 12?
False
Let y = -14 + 45. Let c = y + -10. Suppose 11 = k - c. Does 13 divide k?
False
Let s(x) = -6*x**2 - 5*x + 4. Let y(g) = -7*g**2 - 5*g + 5. Let j(a) = 6*s(a) - 5*y(a). Is 4 a factor of j(-3)?
False
Suppose -2*k + 15*k = 624. Is 3 a factor of k?
True
Suppose c - 3 = -1. Suppose c*f = -t + f + 9, -2*f + 4 = t. Let q = t + 0. Does 7 divide q?
True
Let s be (-6*1)/(1/(-3)). Suppose -2*i - 17 = 5*g - 3, g - 8 = 5*i. Is 10 a factor of s + (-1 - -1 - g)?
True
Does 3 divide (-84)/(-20) - 2/10?
False
Suppose -2*f + 101 = -27. Is f a multiple of 32?
True
Suppose -3*j - 30 = -3*p, 0*j = -3*j - 9. Is p a multiple of 7?
True
Is 9 a factor of 103 - (-3 + 5 - 0)?
False
Let n be (2/(-3))/((-3)/9). Suppose -4*y - n*w + 0*w + 78 = 0, -4*y + w + 69 = 0. Is 4 a factor of y?
False
Suppose -4*d - 6 + 2 = -s, 3*d - 8 = -2*s. Is 9 a factor of (-213)/(-12) + 1/s?
True
Let f(y) = 10 + 4*y - 2*y - 3*y. Let g be f(8). Is (126/(-24))/(g/(-8)) a multiple of 15?
False
Suppose 2 = 3*u - 5*r, -5*u + 3*r + 16 = r. Suppose -u*t = -2*a - 10, -4*t + 31 = 4*a + 3. Suppose -5*c = -2*y - 71, 11 = a*c - 2*y - 30. Is 14 a factor of c?
False
Let o be (-16)/3*(-36)/16. Let d = -8 + o. Suppose -i = 4, 0 = d*k + k - 3*i - 62. Does 10 divide k?
True
Let u(v) = -v - 7. Let d be u(5). Let j = 15 - d. Does 9 divide j?
True
Suppose -13 = -5*o + 7. Suppose o*w - h - 38 = 89, 4*w + 3*h - 115 = 0. Suppose 107 - w = 4*t. Is t a multiple of 6?
False
Suppose -2*c - 2*c + 3*u = -169, -4*c + 4*u = -172. Is c a multiple of 8?
True
Suppose 4*m - 143 = 169. Is m a multiple of 13?
True
Let y(f) = 46*f + 17 - 15 + 6*f. Is y(1) a multiple of 9?
True
Suppose 4*p - 24 - 16 = 0. Let g(q) = 4*q - 1. Is 13 a factor of g(p)?
True
Let g = -47 - -215. Is 24 a factor of g?
True
Let w(u) = -2*u - 4. Let f be w(4). Suppose 2 = t - 3*t. Let o = t - f. Is 11 a factor of o?
True
Suppose -2*o = -6*o + 228. Does 19 divide o?
True
Let p(l) = 2*l**2 - 5*l - 1. Does 17 divide p(-4)?
True
Does 30 divide 75/(-12)*(-26 - -2)?
True
Suppose 17 = 5*j + i + 2, j = -4*i + 3. Suppose -v - 31 = -4*z + 38, -5*z + 65 = j*v. Does 4 divide z?
True
Let p be (-32)/18 - (-6)/(-27). Let n be ((-1)/(-2))/((-1)/p). Is 3 a factor of (3/(-9))/(n/(-9))?
True
Suppose 5*p - 235 = -4*a, 2*a - 12 = 5*p + 83. Suppose r + 4*r = a. Suppose -n = -4 - r. Is 6 a factor of n?
False
Let c = -16 - -22. Let f = c + -4. Suppose -5*n + 42 = -y - 80, -f*n - 4*y + 62 = 0. Is n a multiple of 13?
False
Suppose 67 = 2*l - l. Suppose 2*x - 5 - l = 0. Is 14 a factor of x?
False
Let r be 6/30 + (-1)/5. Let y be (-6 - r)*(-2)/4. Suppose 0 = -4*k + y*l + 161, 4*l + 213 = 4*k + 49. Is 13 a factor of k?
False
Suppose -3*y = -5*y - 218. Let b = -45 - y. Is 22 a factor of b?
False
Let i = 7 - 7. Let l = i - 0. Suppose -4*j - 3*v = -l*v - 103, 5*j - 85 = 5*v. Is 11 a factor of j?
True
Let x(q) = -2*q**2 + 12*q - 8. Let v be x(8). Let o = 0 - v. Is o a multiple of 21?
False
Is 543/(-6)*8/(-4) a multiple of 31?
False
Let r(a) = -a**3 + a**2 - 4*a + 4. Let g be r(4). Let l = g + 114. Is l a multiple of 18?
True
Let b = 5 - 0. Suppose -b*u - 36 + 6 = 0. Is 0 + 0 - (u + 4) even?
True
Let b be 12/54 + 34/9. Suppose -2*y + 3*y = b*z - 82, -3*z = 3*y - 69. Is z + -1 - (5 - 2) a multiple of 8?
False
Let z(h) = 5*h**3 - 2*h**2 + 4*h - 3. Let k be z(2). Let n = k - 16. Is n a multiple of 19?
False
Suppose 12*l - 60 = 11*l. Does 10 divide l?
True
Let v(o) = -19*o - 19*o - 3*o. Is v(-1) a multiple of 20?
False
Suppose 4*x - 508 = -5*j, x - 143 = 5*j - 16. Let t = -52 + x. Suppose p + 13 = -5*f - 0, -5*p + t = -3*f. Does 6 divide p?
True
Suppose -31 = 2*i - 271. Is i a multiple of 40?
True
Suppose -g - 1 = -4. Suppose -t + 90 = 2*t. Suppose g*m - 4*n - 33 = -9*n, 3*m + 4*n = t. Is m a multiple of 3?
True
Let l = 21 - 12. Suppose -4*p = -l*p + 195. Does 13 divide p?
True
Suppose 61 = 3*z - 59. Is z a multiple of 20?
True
Let j(g) = 27*g + 3. Is 19 a factor of j(2)?
True
Suppose 4*y - 9 + 1 = 0. Suppose y*l + 0*l = 4. Suppose -v - 32 = -l*a, 3*a + 29 - 77 = v. Is a a multiple of 6?
False
Suppose -6*t + t - 70 = 0. Let q = 0 + t. Let m = 24 + q. Is 10 a factor of m?
True
Let f(q) = 3*q**2 + q + 1. Let y = 12 - 7. Suppose -4*j + 2 = -y*j. Does 5 divide f(j)?
False
Let d = 38 + -21. Let b = d - 5. Is 6 a factor of b?
True
Let n(x) be the first derivative of x**4/4 - 5*x**3/3 + 3*x + 4. Let j be n(4). Let d = 33 + j. Does 7 divide d?
False
Let a be (8/6)/(6/594). Suppose 4*i + 4*y - a = i, -4*y - 88 = -2*i. Is 20 a factor of i?
False
Let t(z) = 4*z**3 - 3*z**2 - 2*z + 7. Let u(j) = j**3 + 1. Let g(m) = -t(m) + 5*u(m). Let l be g(-2). Does 12 divide l/(-8) + (-249)/(-12)?
False
Let r(l) = -l**2 + 6*l + 4. Let b be r(5). Suppose -b*m + 69 = -6*m. Is 12 a factor of m?
False
Let f be (-5)/(-4 + 9/3). Suppose f*b - 28 = 17. Does 3 divide b?
True
Is 30*(4 - (-15)/(-10)) a multiple of 25?
True
Let z(m) = -15*m + 3. Is z(-2) a multiple of 10?
False
Suppose 0 = 3*r - 3 - 9. Suppose -3*z = -3*v + 54, -4*z = -r*v + 3*v + 24. Is 8 a factor of v?
True
Suppose 15 = -2*l - 3. Let c = -5 - l. Does 2 divide c?
True
Let p(u) = u**2 + 2. Let x be p(2). Is 2 a factor of ((-9)/x)/((-1)/2)?
False
Let u(m) = m**3 + 5*m**2 + 3*m - 3. Let b(p) = -p**3 + 9*p**2 - 9*p + 5. Let o be b(8). Is 6 a factor of u(o)?
True
Let o be 2 - (3 + 2 + -3). Let v be o + -3 - -1*3. Suppose -y - 4*y + 220 = v. Is y a multiple of 22?
True
Let p(f) = -f**2 + 6*f + 2. Let b be p(6). Let q = b - -8. Is 4 a factor of q?
False
Let i(c) = -36*c**3 - 4*c + 3*c + 3*c + 0 + 1. Is i(-1) a multiple of 15?
False
Let x(y) = y - 3. Let g be x(3). Suppose -3*z - 2*z + 120 = g. Is z a multiple of 8?
True
Suppose -2*a + 0 = -8. Suppose 2*r + 2*r - 4*l - 24 = 0, 0 = -2*r + l + 12. Does 18 divide (1 + 23)*r/a?
True
Let h(m) = -m**2 + 11*m - 8. Let j(p) = -5*p**2 - 3*p - 2. Let g(o) = -9*o**2 - 6*o - 4. Let i(q) = 6*g(q) - 11*j(q). Let v be i(5). Is 16 a factor of h(v)?
True
Let k = -1 - -8. Suppose -k*o + 60 = -3*o. Is 15 a factor of o?
True
Suppose 203 - 58 = 5*b. Does 11 divide b?
False
Let a = 1 + 3. Is 2 a factor of a?
True
Suppose -2 = -3*y + 7. Let r be 460/y + 6/9. Suppose -4*a + 3*p + r = -2*p, -a + 2*p = -40. Is 13 a factor of a?
False
Let b be ((-9)/12)/((-2)/(-32)). Suppose -3*x = 3*n + n - 66, 5*x - 110 = -3*n. Let i = x + b. Does 4 divide i?
False
Let p(m) be the second derivative of -m**7/210 + m**6/180 + m**5/120 - m**3/6 - 2*m. Let u(g) be the second derivative of p(g). Is 5 a factor of u(-1)?
True
Suppose 4*c + 4 = 0, -4*c + 2*c + 66 = 4*f. Is f a multiple of 17?
True
Let q(o) = 19*o - 5. Let x be q(-4). Let v = 119 + x. Let w = -7 + v. Is w a multiple of 14?
False
Let u(i) be the first derivative of i**4/4 + 5*i**3/3 + 2*i**2 + 2*i + 2. Is u(-4) even?
True
Let f = 79 + 25. Is f a multiple of 18?
False
Let v(c) = c**3 - c**2 - c - 1. Let q(w) = w**3 - 4*w**2 + 2*w + 3. Let r be q(3). Let l be v(r). Let a(z) = 17*z**2 + 1. Is a(l) a multiple of 10?
False
Suppose -3*t = -0*t - 6. Suppose a + 5*s - 6 = 44, t*a + 5*s = 75. Is 7 a factor of a?
False
Suppose 4 = 5*a - 4*c, 12 = 2*a - 2*c + 3*c. Suppose 4 = -3*b + 5*q, 0 = a*q - q - 6. Let u = 7 + b. Does 4 divide u?
False
Let v = 67 - 62. Is 5 a factor of v?
True
Let d be (-5286)/(-36) - 2/(-12). Let t = d + -84. Is t a multiple of 20?
False
Suppose -40 = -2