8)/((-1)/((-1)/(-2))). Is n/6*42/9 a multiple of 7?
True
Let i be 15/(-6) + (-6)/4. Let q(t) = -t**3 - 4*t**2 - 2*t - 4. Let c be q(i). Suppose c = -h + 9. Does 5 divide h?
True
Suppose 5*n = 2*d + 2*n - 148, 3*d + 3*n = 222. Let g = 135 - d. Is g a multiple of 19?
False
Let f = 139 - 95. Is 10 a factor of f?
False
Let p be (-1)/(14/4 - 4). Is (-7 + -3)/(p/(-4)) a multiple of 5?
True
Suppose -5*c + 3*c = -2. Suppose -b - c = 0, i + 3 = 5*b + 32. Is 12 a factor of i?
True
Let g = -78 + 174. Suppose 3*h + h = 12. Suppose -h*m + g = 12. Is 12 a factor of m?
False
Suppose u + 50 = 200. Is u a multiple of 15?
True
Let p(f) = 3*f - 12. Is p(8) a multiple of 3?
True
Let i(l) be the third derivative of l**6/120 - l**5/15 + l**4/8 - l**3/3 + 2*l**2. Does 10 divide i(4)?
True
Let m(i) = -i**3 + 5*i**2 - 3*i. Let s be m(3). Suppose -s*y = -6*y - 42. Is y a multiple of 14?
True
Suppose 2*g = 4*g - 8. Let s(k) be the third derivative of k**6/120 - k**5/15 + k**4/8 - k**3/3 + 2*k**2. Is s(g) a multiple of 10?
True
Suppose 0 = -2*a - u + 69 + 1, 0 = 5*u + 10. Does 12 divide a?
True
Let z = 187 - 85. Does 6 divide z?
True
Suppose 3*c + p - 1014 = 2*p, 0 = -5*p + 15. Is 33 a factor of c?
False
Suppose -2*l + 1 = -3*l + 5*w, -l = 2*w + 1. Is 17 + (-1)/(0 - l) a multiple of 16?
True
Suppose 5*u + 4*g - 99 = 0, 2*u + 4*g - 11 = 19. Is 6 a factor of u?
False
Suppose 20 = -2*c - 2*c. Let g be 2 + 0/(c + 3). Suppose 0 = 5*o - 5*f - 80, g*o + f - 6*f = 20. Is o a multiple of 7?
False
Suppose 24 = -u - 3*m - 12, -4*m - 93 = 3*u. Is 12/((u/6)/(-3)) a multiple of 4?
True
Suppose 4*d + 33 = 5*d. Does 10 divide d?
False
Suppose -a - a = -3*v - 3, 0 = a. Let f(j) = 2*j**2 - 2*j - 1. Let r be f(v). Suppose 0 = r*k - m - 34, 0 = -5*k - 2*m - 0*m + 64. Does 9 divide k?
False
Suppose 5*u = 5*a - 585, 8*u - 5*u - 593 = -5*a. Is 59 a factor of a?
True
Let i = 18 + 93. Does 37 divide i?
True
Let o(k) = 3 + 11 - 14 - 22*k. Let s be o(-5). Let f = -70 + s. Is f a multiple of 20?
True
Let u be (-5 + 0)*8/20. Let s = 1 - u. Suppose -c + s*c = 40. Does 10 divide c?
True
Let g(n) = -58*n - 22. Does 8 divide g(-3)?
True
Is 4 a factor of (54/(-30))/(6/(-20))?
False
Suppose -2*f - 47 = -15. Let j be (1 + -2)/(4/f). Suppose -j*x = -2*x - 16. Does 5 divide x?
False
Suppose 4*c - 385 = -t, -5*c + 479 = -0*c + 2*t. Suppose -2*i - c = -0*i + 3*h, 76 = -i + 4*h. Does 7 divide i/2*(-3)/6?
True
Let j = 31 - 27. Does 12 divide j/26 + 2139/39?
False
Suppose t - 4*n - 329 = -8*n, -n = t - 320. Is 16 a factor of t?
False
Suppose -5*a - c + 1735 = c, 0 = -c - 5. Does 14 divide a?
False
Let t be 2/5 + 185/(-25). Let k(h) = h**3 + 6*h**2 - 10*h - 1. Does 10 divide k(t)?
True
Let i = 22 - 13. Let r be (2 - -2)*3 + -1. Let t = r - i. Does 2 divide t?
True
Suppose -3*s + 6*s + 3 = 0. Let l = s - -1. Suppose 4*t + 33 - 3 = 2*p, 3*p - t - 50 = l. Is 17 a factor of p?
True
Let n = 5 + 5. Suppose 0 = -11*m + n*m + 14. Does 3 divide m?
False
Is ((-11)/(-3))/(4/120) a multiple of 11?
True
Suppose -5*v = 2*q + 19, -3*v + 11 = -3*q + q. Let c = q - -12. Is c a multiple of 4?
False
Let r(g) = g + 3. Let z be r(-3). Let o(p) = -p**3 - p**2 - 2*p - 1. Let d be o(-2). Suppose d*n - 2*n - 80 = z. Is 16 a factor of n?
True
Does 11 divide 1*55/((-2)/(-2))?
True
Let q(b) = -b + 1. Let g be q(-7). Suppose -4*c - 3*f = f - g, 4*f + 16 = 4*c. Suppose 67 = 2*o + k, 0 = -0*o + 2*o - c*k - 71. Does 24 divide o?
False
Let t be (4 - 2)*(-1)/2. Does 3 divide (-11)/(-4) - t/4?
True
Suppose 0 = -0*a + 2*a + 2*c - 2, -4*c = 3*a - 1. Suppose a*b - 29 = q + 5, -5*b = -4*q - 59. Does 11 divide b?
True
Let j(k) = 19*k - 13. Is j(3) a multiple of 6?
False
Suppose 3*c = -2*c + 645. Suppose 4*d - c = 251. Does 36 divide d?
False
Let r be 2*3/12*2. Let i be r - (2 - 7/1). Does 4 divide (-24)/(-2)*4/i?
True
Suppose 2*l = 3*l - h - 34, l = 3*h + 42. Is l a multiple of 19?
False
Suppose 0 = 5*j - 9*j + 156. Is 6 a factor of j?
False
Let d(k) = -k**2 - 10*k - 11. Let i be d(-11). Let w = i + 38. Is 10 a factor of w?
False
Let n(s) = s**3 - 4*s**2 - 4. Let m(o) = 2*o**3 - 9*o**2 - o - 9. Let x(t) = -2*m(t) + 5*n(t). Let q be x(2). Does 3 divide (12/q)/(2/3)?
True
Let y(h) = -5*h**3 + 0*h**3 + 4*h**3 + h**2. Let d(v) = -119*v**3 + 102*v**2. Let r(x) = d(x) - 102*y(x). Does 11 divide r(-1)?
False
Let m(i) = 10*i**2 + 2*i - 1. Let q = 10 - 7. Suppose 15 = -4*l + 5*f - 1, 4*f = -q*l + 19. Is m(l) a multiple of 11?
True
Does 13 divide ((-259)/14)/((-2)/4)?
False
Let j = -82 - -114. Is j a multiple of 4?
True
Suppose 4*p + 73 = 7*u - 2*u, -3*p = -5*u + 71. Does 2 divide u?
False
Suppose 2*b + 3 = 23. Is b even?
True
Let o = 32 + -12. Suppose -5*k + o = -0*k. Is 4 a factor of k?
True
Let s = -22 - -46. Is s a multiple of 14?
False
Suppose 0*v - 6 = -2*v. Suppose -v = -3*q + 2*z + 6, -5*q + 15 = -3*z. Suppose 79 = 5*c - q*o, -5*c + 5*o + 7 + 78 = 0. Does 14 divide c?
True
Let o = 15 - 8. Let c = 11 - o. Is c even?
True
Is -3*(0 - 36) - -5 a multiple of 10?
False
Let n(j) = -5*j**2 - 5*j - 14. Let g(p) = -9*p**2 - 10*p - 27. Let b be 1/(-1*2/22). Let o(l) = b*n(l) + 6*g(l). Is o(7) a multiple of 3?
True
Let o(b) = b**2 + 4*b - 4. Does 2 divide o(-6)?
True
Let p(d) = -d + 7. Let o be p(4). Suppose 2*k + 13 = -4*y - 1, 11 = -2*k - o*y. Let r(u) = -4*u**3 + u**2 - 1. Is 4 a factor of r(k)?
True
Let v(b) = -b - 13. Let z be v(-10). Is z*(-3)/((-3)/(-17)) a multiple of 19?
False
Suppose 0*z + 5*z = 4*o + 30, 0 = -2*z - 2*o - 6. Suppose -300 = z*m - 7*m. Let y = m - 40. Is y a multiple of 9?
False
Is 8 a factor of (3/(-6))/(5/(-210))?
False
Suppose -615 = -5*f + 5*v + 565, 0 = -2*f + 4*v + 464. Does 60 divide f?
True
Let q(y) be the third derivative of y**4/2 + 2*y**3/3 + 6*y**2. Is q(3) a multiple of 10?
True
Let q = 58 + -3. Suppose d = -4*d + q. Does 5 divide d?
False
Suppose 0 = r - 3*r + 18. Let o be -2 - 1 - (-216)/r. Suppose -55 - o = -4*s. Is s a multiple of 5?
False
Suppose 4*t + t = 2*m - 45, -5*t = -5*m + 45. Let k(s) = s**3 - 3*s**2 + s + 4. Let v be k(4). Let b = t + v. Is 15 a factor of b?
True
Let m(l) = 13*l**2 - 3*l - 2. Is 14 a factor of m(-2)?
True
Let t(a) = 5*a**3 - 10*a**2 + 5. Let f(k) = 14*k**3 - 29*k**2 + 14. Let x(d) = -6*f(d) + 17*t(d). Does 10 divide x(-3)?
True
Is (-63 - (2 - 2))/(2 + -3) a multiple of 8?
False
Let d be (-58)/(-7) - (-4)/(-14). Let k be 18*-2*(-2)/d. Suppose 4*x = x + k. Is 2 a factor of x?
False
Is (1/(-3))/(5/(-150)) a multiple of 7?
False
Let a = -3 - 0. Let z be (-4)/a*3/2. Is 12 a factor of z/(4*2/116)?
False
Let o(j) = j**2 - j + 0*j + 4*j - 1 + 0*j**2. Does 9 divide o(4)?
True
Suppose -f + 9 = s, -4*f - 3*s + 4*s + 36 = 0. Is f a multiple of 2?
False
Let r(s) = s**2 - 5*s + 7. Is r(6) a multiple of 6?
False
Suppose 2*g - 269 = -5*l - 0*g, -l = -2*g - 61. Does 10 divide l?
False
Let t(q) = -3*q - 4. Let a be t(-4). Let k = a + -6. Suppose 5*s = -m + 232, 0*m - m = -k. Is s a multiple of 16?
False
Let p(q) = q**2 - 1 - 4 + 0*q**2 + 2 - 4*q. Let s be p(4). Let b = s + 10. Is b a multiple of 3?
False
Let m be 14/(-91) - (-134)/26. Suppose 3*s + 4 = 3*r - 68, -m*s = -4*r + 97. Does 8 divide r?
False
Let d(p) = -p + 12. Let y be d(8). Let c(n) = n**2 - y*n + 3*n - 3*n. Is 6 a factor of c(6)?
True
Let a be 2/(-1)*7/(-2). Let n = 10 + -5. Suppose 0 = 2*v - 3*p - 27 - a, 0 = -v - 4*p - n. Is v a multiple of 4?
False
Is 14 a factor of 32/(-304) - (-2928)/19?
True
Let c be 36 + 0 + 0 - -2. Let d be 0 - -12*42/9. Let h = d - c. Does 9 divide h?
True
Let q = 27 - 21. Is q a multiple of 2?
True
Let u(a) = a**2 - 8*a + 5. Let k be u(10). Suppose 4*q + 11 + k = 0. Let i = q - -27. Is 5 a factor of i?
False
Suppose 2*r + 3*l - 5*l - 646 = 0, 2*r = l + 641. Is 37 a factor of r?
False
Let v(c) = c**2 - 14*c - 31. Is v(18) a multiple of 3?
False
Let v = -10 - 1. Let k = v - -25. Does 6 divide k?
False
Let v(f) = -f**2 + f - 3. Let i be v(0). Let y = i - -3. Suppose y*d = -3*d + 114. Is 14 a factor of d?
False
Let n be (-4)/((-16)/(-4)) + 13. Does 17 divide (32/n + 1)*18?
False
Let b = -6 - -8. Suppose 1 = z - b. Does 2 divide z?
False
Suppose 79 - 404 = -5*l. Suppose -7*a + l = -306. Is a a multiple of 14?
False
Let w be -17 + 1/((-1)/2). Is 9 a factor of (3 - 5)/2 - w?
True
Suppose 2*v + 12 = -18. Is 2 a factor of ((v + -1