h) = 6*h**3 - h**2 + 1. Let r be q(1). Suppose -5*z = -5*s + 330, -3*s = r + 6. Let g = z - -100. Is g a multiple of 15?
True
Suppose 0 = -2*c + 204 - 2. Suppose 4*a - 3 = c. Does 13 divide a?
True
Suppose 0 = -v + 3*k - 2, 2*v + 2 = -5*k - 2. Let p be v/(-5) - (-4)/(-10). Suppose -2*q + 2*n + 30 = -p*n, 5*q - 79 = 4*n. Is 9 a factor of q?
False
Let f(l) be the third derivative of -l**6/120 - l**5/12 - l**4/6 - 2*l**3/3 - l**2. Is f(-5) a multiple of 5?
False
Let b be (3 - 2) + -2 - -5. Let v(c) = 2*c - 6. Let y be v(b). Suppose y*r - 5*g - 49 = 0, -1 = r + 4*g + 7. Is r a multiple of 6?
True
Suppose -11*l - 952 = -15*l. Is 34 a factor of l?
True
Suppose k - 23 + 8 = 0. Is 3 a factor of k?
True
Let k(q) be the third derivative of 0 - 1/120*q**6 + q**2 - 1/3*q**3 - 1/12*q**4 + 0*q**5 + 0*q. Is 5 a factor of k(-2)?
True
Let q(c) = -2*c - 9. Let f be q(-7). Suppose -f*h = -j - 0 - 13, -4*j + h + 24 = 0. Is j a multiple of 7?
True
Let w = 40 - 29. Does 3 divide w?
False
Let t(n) = -5 - 2*n + 2 - 5*n**2 - n**3 + 2*n**2. Let v be t(-3). Suppose r = v*z - 13, -z - r = -6*z + 25. Does 6 divide z?
True
Let h(i) = 86*i - 1. Does 15 divide h(1)?
False
Let o(f) = -3*f - 6. Let b = 11 + -4. Let g = b + -11. Is o(g) a multiple of 5?
False
Does 12 divide -4 + (3 - 25)*-1?
False
Let s = 43 + -23. Suppose k = -c + 25, 4*k + s = 2*c - 0*c. Suppose -20 = -5*u, -5*u - 72 = -3*j - c. Is 14 a factor of j?
False
Suppose -16*l + 14*l = -8. Suppose 3*b = -4*d + 2*b + 142, l*d = -4*b + 136. Does 6 divide d?
True
Let m be (-2)/6 + 140/(-12). Is (3/(-4))/(1/m) even?
False
Suppose 0 = 3*d - 5*d + 100. Does 7 divide d?
False
Let f(v) = -5 - 18*v**3 - 6 + 10 + 2*v**2. Is f(-1) a multiple of 5?
False
Suppose 5*n - 85 + 75 = 0. Suppose 0 = 3*m - 2*j - 39, -4*j + 2 - 3 = m. Suppose 0 = n*b - 2*l + 4, m = 6*b - 4*b + l. Does 3 divide b?
True
Let z be (1 + 3/6)*2. Suppose 0 = z*x - 159 - 171. Suppose -2*s + 6*s = -4*h + 96, -5*h + 5*s = -x. Does 10 divide h?
False
Suppose a - 8 - 12 = 0. Is 4 a factor of a?
True
Let a be -4 - ((-4)/(-2) - 0). Let q = 0 - a. Suppose 10*h = 5*h + 3*z + 85, h + 4*z = -q. Does 14 divide h?
True
Let l(g) = g**3 - 3*g**2 - 3*g + 1. Let j be l(4). Suppose 3*t + 5*m = -32, 4*t + j*m + 54 = 4*m. Let u = -6 - t. Is u a multiple of 8?
True
Let b(u) = 5*u**3 + 7*u**2 + 2*u**3 - 5*u - 6*u**3 + 0*u**3 - 8. Does 9 divide b(-7)?
True
Suppose 5*p - 678 = -4*t, 0 = p + 2*t + 40 - 172. Does 11 divide p?
False
Let r = -45 - -98. Is 10 a factor of r?
False
Let d be (-91)/(-3) - 22/(-33). Suppose 5*i - 81 = -d. Is 10 a factor of i?
True
Let g = -9 + 7. Let t(d) = 2*d - 3. Let i(m) = -2*m + 2. Let k(a) = 5*i(a) + 4*t(a). Is k(g) a multiple of 2?
True
Let v = 159 - 55. Suppose 4*m - v = -5*y, 0 = y - 5*m - 40 - 4. Does 8 divide y?
True
Suppose -5*z = -20, 2*l + 1 - 19 = -2*z. Suppose -5*u + 3*u + 5*n = 12, 4*n + 30 = -l*u. Is (-116)/(-6) + 2/u a multiple of 9?
False
Let c = -12 - -16. Suppose 2*l + c*w = 62, -6*w + 167 = 5*l - 2*w. Does 8 divide l?
False
Let x(q) = q**3 + 3*q**2 - 5*q - 3. Let t be x(-3). Suppose 2*i - 5*i = -t. Suppose 0 = -j - i*m + 17, -2*j - 4*m + 22 = -2*m. Is 5 a factor of j?
False
Let l = -5 + 7. Suppose -4*r - 35 = -l*z - 3*r, -r = z - 19. Let o = 42 - z. Does 14 divide o?
False
Suppose 0 = 4*m + 5*o - 77 + 6, -5*o = 2*m - 43. Is 7 a factor of m?
True
Suppose 3*q = 607 - 163. Let d be (-1)/(-2) - 75/(-10). Is 13 a factor of 4/d*q/2?
False
Suppose 3*i + 3*w - 165 = 0, -248 = -5*i + 8*w - 4*w. Does 13 divide i?
True
Is 38 - 1*-4*(-7)/(-14) a multiple of 23?
False
Let z = -19 + 21. Does 2 divide z?
True
Let h(r) = r**3 + 6*r**2 + r + 6. Let x be h(-6). Suppose g - 10 = -b + 9, x = -4*g + 20. Is 7 a factor of b - 0*2/(-6)?
True
Suppose -4*r - 5*a - 181 + 596 = 0, 0 = r - 3*a - 108. Is r a multiple of 15?
True
Let h(o) = -2*o + 32. Does 22 divide h(-10)?
False
Suppose 5*g + 4*n - 76 = 0, -6*g + 5*n = -3*g - 16. Suppose -7*r = -g*r + 210. Does 21 divide r?
True
Let t(n) = n**3 + 7*n**2 - 4*n + 5. Let g be t(-6). Let k = g - 39. Is k a multiple of 5?
False
Suppose -4*k + 6 = -2*p, -k + 6*k = 2*p + 10. Suppose c + 12 = p*c. Suppose 0 = 3*m - c, -139 = r - 6*r - 4*m. Is r a multiple of 9?
True
Suppose 3*a = a + 442. Is a a multiple of 33?
False
Let r = 25 + 1. Is 26 a factor of r?
True
Suppose 2*p - 168 = 4*p. Is 10 a factor of p/(-9) - 4/(-6)?
True
Suppose 0 = -3*q - 0*g + 3*g + 24, 0 = 2*g + 10. Suppose -4 = -4*c + q*c. Is c even?
True
Suppose 0 = 2*y - 3*y + 59. Is 31 a factor of y?
False
Let t be (1 - 1) + 1 + -30. Let h = 19 + t. Is 6 a factor of 124/10 + 4/h?
True
Let p = 1 + -30. Let i = p + 49. Is i a multiple of 9?
False
Suppose -p + 3 = -0*p. Suppose -p*b - 2*b = -130. Is b a multiple of 13?
True
Let z = 21 - 13. Is z a multiple of 8?
True
Suppose 4*y - y - 753 = 0. Suppose -7*n + y = -106. Is n a multiple of 17?
True
Let y(r) = r - 5. Let h be y(3). Let p = 19 + h. Is 8 a factor of p?
False
Let g(s) = 2*s + 13. Let c = -3 + 15. Is 10 a factor of g(c)?
False
Let f(g) = 4*g**3 - 2*g**2 + 4*g - 2. Is f(2) a multiple of 5?
True
Suppose -z + 3*j - 6*j = 13, 2*z - j = -26. Let s(f) = 4*f**2 + 14*f + 21. Let u(a) = -2*a**2 - 7*a - 10. Let t(k) = z*u(k) - 6*s(k). Does 3 divide t(-4)?
False
Let a(f) = 4*f**2 - 4 + 1 + 7 - 5*f. Does 24 divide a(4)?
True
Suppose 3*q - 89 = -5*h - 0*q, -5*h - 5*q + 95 = 0. Does 16 divide h?
True
Suppose -i + 6 = -108. Is i a multiple of 12?
False
Suppose -3*c + 1 = r, -4*r - 4*c + 3 = -3*r. Is 6 a factor of (r/(-3))/(4/24)?
False
Let a(z) = z**3 + 13*z**2 + 10*z - 15. Let j be a(-12). Suppose j = -p + 2*p. Is p a multiple of 9?
True
Is ((-5)/15)/((-2)/(-12)) - -8 a multiple of 3?
True
Suppose 4*m = -m + 15. Let x = 8 + -4. Suppose x*v - 98 = -5*y, 0 + 16 = v - m*y. Is 11 a factor of v?
True
Suppose -h - 2*w = -3*w - 138, -4*h + w + 543 = 0. Is h a multiple of 9?
True
Is ((-270)/(-25) - 0) + 2/10 a multiple of 8?
False
Is 9 a factor of 0 + (89 - 4) - -6?
False
Let l = 11 + -16. Let r = -2 - l. Let g = r - 1. Is g a multiple of 2?
True
Suppose -d = d - 22. Suppose j - d = -0*j. Is j a multiple of 6?
False
Suppose -b + 4*b = -6, 123 = 3*y + 3*b. Is 10 a factor of y?
False
Let u be 32/6 - 3/9. Suppose -2*b - 24 = -u*o, -b = 2*b + o + 2. Is 16 a factor of 1 + 30/(b/(-2))?
False
Suppose 38*k = 36*k + 310. Is 5 a factor of k?
True
Let z = -15 - -15. Suppose z = -4*h - 6*k + 3*k + 49, k = 3. Does 7 divide h?
False
Let l(o) = -o**2 + 24*o + 46. Is l(19) a multiple of 21?
False
Suppose -4*p = -2*m + 2, -p + 11 = 4*m - 2*p. Suppose m*g + 42 = 6*g. Does 3 divide g?
False
Suppose -3*z + 0*z + 18 = 0. Is z a multiple of 2?
True
Suppose -5*l - 25 = 5*z, 6*l - l + 5 = -z. Suppose -2*k + k = l. Suppose k = -2*o + 13 + 73. Is o a multiple of 14?
False
Let s be -31 + (-2)/(-3)*3. Let m = 21 - s. Let z = -21 + m. Is z a multiple of 15?
False
Let r = 101 - 59. Does 21 divide r?
True
Let b be ((-72)/21)/(1/7). Let k = 39 + b. Suppose -k = 4*w - 7*w. Is 5 a factor of w?
True
Let g(m) = 8*m**2 + 2*m + 6. Is 7 a factor of g(-4)?
True
Suppose 0 = -2*v - y + 85, 3*v = -6*y + 4*y + 125. Does 6 divide v?
False
Let c(k) = -2*k**2 + k - 1. Let a be c(1). Does 5 divide 0 - a - (5 - 11)?
False
Suppose -5*f + 251 + 524 = 5*o, -3*o + 465 = -f. Is o a multiple of 9?
False
Let v = 10 - 0. Let l = 11 - v. Is 3 a factor of (10 - 0) + (-1)/l?
True
Suppose z + 3*c = 4*z - 192, 2*z - 132 = 4*c. Does 27 divide z?
False
Is (-18)/8*((-1216)/12)/2 a multiple of 19?
True
Let r(p) = 3*p**3 - 35*p**2 - 23*p - 5. Let m(l) = l**3 - 17*l**2 - 12*l - 3. Let q(j) = -5*m(j) + 2*r(j). Does 2 divide q(-14)?
False
Suppose 15 = -f + 2*b, 0 = 3*f - f + 5*b + 12. Let p = 9 - f. Is p a multiple of 5?
True
Suppose 2*x = 29 + 25. Is 9 a factor of x?
True
Let x(h) = -h**3 + 9*h**2 - 7*h - 3. Let n be x(7). Suppose 4*g + n = 4*v - 182, 2*v - 124 = 4*g. Let s = -25 + v. Is 11 a factor of s?
False
Suppose -3*f = -0*f - 27. Suppose -f - 1 = -k. Is k a multiple of 10?
True
Let r(z) = z**2 - z + 3. Is r(2) even?
False
Let m = -7 + -26. Let w = 54 + m. Does 5 divide w?
False
Suppose -k + 21 = -1. Suppose -3*n + k = -n. Is 11 a factor of n?
True
Suppose i - 35 = -4*b, 30 = 2*i + 4*b - 28. Is i a multiple of 6?
False
Suppose 9 = 4*c - 3. Suppose 5*w = -x - 167 - 27, 5*w + 202 = -c*x. Let 