506)/7. Suppose 0*i - 2*i = -b. Is 12 a factor of i?
True
Does 14 divide (4 + -116)*(-15)/12?
True
Suppose 3*l + 30 = -5*h + l, -14 = 3*h + 2*l. Let i(u) be the second derivative of -u**3/6 + 3*u**2 + 2*u. Is i(h) a multiple of 12?
False
Let r(x) = -68*x - 66. Is 57 a factor of r(-6)?
True
Suppose -5*z + 4*a + 32 = -83, -2*a - 48 = -2*z. Does 19 divide z?
True
Suppose -4*s - x + 15 + 1 = 0, 12 = 3*s - 3*x. Suppose -5*g - 55 = -5*r, -s*r + 2*g + 54 = -0*r. Is 4 a factor of r?
True
Suppose -2*o - 6 - 26 = 0. Let l = 21 + o. Is l a multiple of 4?
False
Suppose 0*s - 70 = 5*s. Is 4/s - (-174)/21 a multiple of 6?
False
Does 5 divide 23 + 0*(-3 + 2)?
False
Is 6 a factor of 240/45 + 2/3?
True
Suppose -2*a = -j - 66, -4*a - 4*j = -7*j - 130. Is a a multiple of 34?
True
Let i = 4 + 11. Is i a multiple of 3?
True
Is (-1*(-207)/(-15))/(2/(-30)) a multiple of 23?
True
Suppose -w = -4*z + 673, -2*z - 5*w + 294 + 37 = 0. Suppose z + 0 = 4*o. Let l = -20 + o. Does 12 divide l?
False
Let x(h) = h**2 + 4*h + 5. Does 8 divide x(-7)?
False
Let t(k) = -k**3 - 11*k**2 + 12*k - 11. Let f(d) = d**2 - 1. Let c(p) = -2*f(p) - t(p). Does 15 divide c(-10)?
False
Let s = 8 - -1. Let r(u) = u**3 - 9*u**2 + 2*u + 12. Is r(s) a multiple of 11?
False
Let w = 45 - -39. Does 21 divide w?
True
Suppose 0 = 2*h - 0*o + 5*o - 157, h = 5*o + 116. Suppose 0 = -2*d + 3*m + h, 2*d - 5*m + 51 = 4*d. Is 19 a factor of d?
True
Let g(r) = -6*r + 14. Let t(v) = 4*v - 9. Let w(o) = -5*g(o) - 7*t(o). Is w(14) a multiple of 11?
False
Let x = -490 + 864. Let s = -228 + x. Suppose 5*t = s + 49. Is t a multiple of 14?
False
Let c(p) = p**2 + 8*p + 6. Let y(g) = -g**2 - 5*g - 3. Let d be y(-6). Let n be c(d). Suppose -n = -z + 7. Does 11 divide z?
True
Let o(r) = r**3 + 5*r**2 + 2*r - 5. Suppose 4*i - 4*s = -16, -3*i + 4*i + 4 = -5*s. Let g be o(i). Suppose 108 = g*t - t. Is t a multiple of 19?
False
Let v = 91 - -5. Is v a multiple of 32?
True
Suppose -3*g + 13 = -3*o - g, -5*o + 20 = 5*g. Let s = 1 + o. Let i = 24 - s. Is i a multiple of 8?
True
Let m = -8 + 13. Suppose 0*u = m*u - 60. Does 4 divide u?
True
Let r be 4/2 - -1 - 0. Let a(i) = i**3 - 5*i**2 - 4*i + 9. Let z be a(6). Let c = z - r. Is 7 a factor of c?
False
Suppose 61*a = 57*a + 228. Is 7 a factor of a?
False
Let q(o) = o**2 - 8*o + 3. Suppose 10 - 55 = -5*i. Let m be q(i). Suppose -3*w = -5*w + m. Does 3 divide w?
True
Let u(r) = 7*r - 1. Let p be u(1). Suppose -p*f + 15 = -3*f. Does 5 divide f?
True
Let c(q) = -q**2 + 8*q + 4. Let a(r) = -8*r - 5. Let y(v) = -3*a(v) - 2*c(v). Is 9 a factor of y(-6)?
False
Let c(u) = 3*u - 9. Suppose 4*a + 20 = 4*i, 16 = -4*a + i + 5. Let n(f) = -f. Let o(y) = a*n(y) + c(y). Does 6 divide o(6)?
False
Suppose -9 = -4*y + 7. Let i = 4 - y. Suppose i*b - 24 = -4*b. Is b a multiple of 3?
True
Suppose -2*q + 5*u = 29, 0 = -2*u - 4 + 14. Let p(f) = -2*f**3 - f**2 - 1. Is 4 a factor of p(q)?
False
Let k = -30 - -88. Is 55 a factor of k?
False
Suppose -2*x = -3*o + 185, o - 4*x + 7*x - 69 = 0. Is 7 a factor of -2*4/((-24)/o)?
True
Let i(j) = -j**2 + 4*j - 3. Let p be i(4). Is 160/6 + 2/p a multiple of 9?
False
Suppose 15 = 3*s, -5*s = 4*n - 1 - 8. Let w = 3 + n. Does 9 divide w/(-2)*48/2?
False
Let n(b) be the first derivative of b**5/10 - b**4/3 + b**3/2 - b**2/2 - 2*b - 2. Let q(j) be the first derivative of n(j). Is 5 a factor of q(2)?
True
Let r(p) = -p**2 - 11*p - 14. Is r(-6) a multiple of 4?
True
Suppose 4*m - 30 = 2. Let d(a) = a**3 - 8*a**2 + 3*a - 2. Does 22 divide d(m)?
True
Let o = -6 - -4. Suppose -3*j + 12 = 0, -5*j + 3*j + 12 = 4*f. Does 7 divide (14/o)/(-1*f)?
True
Suppose 0 = 4*h + 20, b = -4*h + 2*h - 10. Suppose 5*o - 14 - 41 = b. Does 7 divide o?
False
Let b = -60 + 126. Let t = b - 39. Is 27 a factor of t?
True
Let l(w) = 10*w - 6. Suppose 28 = 2*c + 2*c. Is l(c) a multiple of 16?
True
Let q(s) = -s**3 + 11*s**2 - 1. Let x be q(11). Is -1*2 + x + 45 a multiple of 14?
True
Let b(s) = -s**3 - 21*s**2 - 23*s - 15. Is b(-20) a multiple of 9?
True
Suppose 8*d = 9*d - 36. Suppose g = 3*g - d. Does 7 divide g?
False
Let v(n) = n**3 - 7*n**2 - 9*n + 8. Let w be v(8). Suppose w = -0*t - 2*t + 6. Let d(l) = 3*l + 3. Does 5 divide d(t)?
False
Suppose 8 - 28 = -5*c. Let m(d) = -4*d + 3*d + d**3 - 3*d**2 + 4 + 8*d**2 - 2*d**3. Is 10 a factor of m(c)?
False
Suppose -3*x + 4 - 1 = 0. Suppose 82 = -4*f - 78. Is 19 a factor of x/(-2)*(f + 2)?
True
Is (-4)/14 + (-513)/(-7) a multiple of 16?
False
Suppose x - 1 = 3. Suppose -x*d + d = -15. Suppose -d*w = -3 - 37. Is 3 a factor of w?
False
Let v = -22 + 54. Suppose 5*k - x = -v, -3*k - 12 = x - 4*x. Does 3 divide (k + 1)*(-4 + 3)?
True
Suppose -6 + 0 = 3*h, -5*x + 531 = -3*h. Is x a multiple of 15?
True
Let i = 112 + -88. Is i a multiple of 12?
True
Let d(o) = o**3 + 19*o**2 - 48*o + 42. Is 56 a factor of d(-21)?
True
Let k(c) = c - 4. Let v(s) = s**2 + s + 6. Let o be v(0). Let l be k(o). Suppose 0 = -2*j + l*q + 6, 5*j + 0 = 4*q + 20. Does 3 divide j?
False
Let g be 2/3 + 824/(-12). Let x = -58 + 11. Let o = x - g. Does 9 divide o?
False
Suppose o - 2*x - 18 = -3*o, -4*x = o + 18. Let f be (6 + 69)*2/5. Suppose -o*n = 3*n - f. Is n a multiple of 3?
True
Let p(w) = w**3 - 5*w**2 - 2*w. Suppose y + 2*y = 4*t + 2, 3*t - 36 = -4*y. Is 18 a factor of p(y)?
False
Suppose -5*b + 3*i + 0*i = -87, -2*i - 34 = -2*b. Is 6 a factor of b?
True
Suppose 5*t + 4*i + 5 = -i, 0 = -4*t - 2*i + 2. Is 3 a factor of 6/2 + (8 - t)?
True
Suppose 3*n + 2*n + 30 = 0. Let z be (-3)/n + 2/(-4). Suppose 3*i - 4*i + 8 = z. Does 8 divide i?
True
Let o be (24/(-10))/((-6)/40). Suppose 5*b - 9 = o. Does 2 divide b?
False
Let d(h) = -2*h. Is 7 a factor of d(-5)?
False
Let a(w) = 2*w - 4. Let k be a(5). Suppose d = k + 15. Suppose 5*g - 70 = 3*l, 0 = 2*g - 3*l - d - 7. Is 14 a factor of g?
True
Suppose -12 = -c + 2*n, 4*c - 2*n = c + 36. Let m = c - 9. Is m even?
False
Let q = 72 - 27. Does 15 divide q?
True
Let v(h) = h**2 + 4*h - 8. Let t be v(-6). Suppose 0 = -t*y - 4 + 156. Does 16 divide y?
False
Suppose 2*k - 39 = -7. Suppose 3 = 5*p - 22. Suppose p*n - k = 9. Is n a multiple of 2?
False
Let a(n) be the third derivative of n**6/120 - n**5/60 + 8*n**3/3 + 8*n**2. Is 8 a factor of a(0)?
True
Suppose -7*k = -3*k. Suppose -v + 1 + 7 = k. Is v a multiple of 8?
True
Let s(t) = -11*t - 12. Is 11 a factor of s(-7)?
False
Let g be 1/(-2) + 174/4. Let h = g + -14. Let r = h - 15. Does 14 divide r?
True
Suppose 5*g - 5 = l, 6*l - 4*g - 80 = l. Is 4 a factor of l?
True
Let m(z) = z - 1. Let i(k) = 2 - 2 - 13*k + 12. Let s(p) = -i(p) - 6*m(p). Is s(6) a multiple of 18?
True
Suppose -m + 348 = 3*t, m + 9 - 241 = -2*t. Is t a multiple of 17?
False
Does 12 divide 29 + (-3 - (0 - 4))?
False
Let r = 52 - 28. Does 12 divide r?
True
Suppose -5*n - 34 = -t, 5*t - t - 5*n = 106. Is 12 a factor of t?
True
Is ((-30)/45)/((-1)/9) even?
True
Let k(s) = 2*s - 3. Let c be k(8). Is c + 3/(-2)*2 a multiple of 5?
True
Suppose 2*l + 5 - 9 = 0. Is -1*2/l + 39 a multiple of 11?
False
Suppose -5*r - 42 + 267 = 0. Does 9 divide r?
True
Suppose c + 11 = 2*c - 3*i, 31 = c + i. Suppose 4*y + c = -2*p, -p = y + 1 + 6. Let t = y + 21. Is 15 a factor of t?
True
Let t = 36 + -4. Let u = t - 2. Is 9 a factor of u?
False
Suppose -2*x - 5*q = -93 + 25, -4*x + 108 = 3*q. Does 12 divide x?
True
Suppose -x = -5, 10*k - x + 435 = 5*k. Let l = k - -129. Is l a multiple of 15?
False
Let u be 57/11 - 4/22. Suppose -u*g + 240 = -50. Is g a multiple of 29?
True
Is (2/(-6))/((-3)/36) even?
True
Suppose 4*u - 96 = 3*u - 2*c, 0 = -u - 3*c + 96. Is 20 a factor of u?
False
Is 12 a factor of 8/(-2) - (-30 + -5)?
False
Suppose 3*n = 230 - 74. Is n a multiple of 13?
True
Let d be (-1)/5 + 77/35. Is 10/20 - (-53)/d a multiple of 23?
False
Let s(u) = -2*u**3 - 4*u**2 + 5*u + 6. Let d = 8 - 4. Suppose -d*j - j = 20. Does 13 divide s(j)?
False
Let a = -5 - -8. Suppose 0*l = -a*l + 66. Does 5 divide l?
False
Does 40 divide ((-4)/12)/(-1 + (-164)/(-165))?
False
Let s = 13 + -7. Suppose y - 1 = s. Is y a multiple of 3?
False
Let k(f) = f**3 + 6*f**2 + 3*f. Let n be k(-5). Let a(p) = -4*p**2 + 1 - 4*p + 4*p + n*p**2. Is 12 a factor of a(2)?
False
Let x(i) = 2*i + 12. Let u be x(-5). Suppose 6*m - 15 = m. Suppose u*r = m*r - 24. Is r a multiple o