Let x(i) be the third derivative of i**6/120 - i**5/10 - i**4/24 + i**3 - 3*i**2. Let p be x(6). Is 15 a factor of (-2)/2 - (-31 + p)?
True
Suppose -6*y = -y - 20. Suppose u + 2*s - 1 = 0, 17 = y*u - 8*s + 3*s. Suppose -u*k + 107 = -13. Is 20 a factor of k?
True
Let s be 4/12 - 10/3. Let x = s - -2. Does 13 divide (-6)/2*9*x?
False
Suppose -2*d + 4*d = 30. Let i = d + -11. Is i a multiple of 2?
True
Let z = -76 - -139. Does 9 divide z?
True
Suppose -43 = -4*l + 137. Is 16 a factor of l?
False
Let p(l) = 2*l**2 - 11*l - 3. Let u be (-87)/(-12) + (-9)/(-12). Is p(u) a multiple of 13?
False
Suppose -x = -4*x + 165. Suppose 3*l + 3*c - 53 = -l, -4*l + x = c. Is l a multiple of 5?
False
Let w = -8 + 11. Suppose -w*v + 7 - 28 = 0. Let n = 28 + v. Is 8 a factor of n?
False
Let i = -24 - -13. Let g = i - -14. Is g a multiple of 3?
True
Let u be ((-54)/8)/(6/80). Let f = u + 139. Does 10 divide f?
False
Suppose 59 = -3*t + 152. Let c = t - 8. Is 12 a factor of c?
False
Let u(y) = -y**2 + y + 1. Let o(z) = z**2 + 3*z + 1. Suppose -5*k = -w + 6, 3 = w + 4*w + 2*k. Let b(v) = w*o(v) + 2*u(v). Is b(5) a multiple of 2?
False
Let t(s) be the second derivative of -s**3 - 3*s**2 + 2*s. Let j(f) = 3*f + 3. Let d(n) = -9*j(n) - 4*t(n). Is d(-7) a multiple of 13?
False
Suppose -j + 0*w + w + 39 = 0, 3*j - 147 = -3*w. Is 13 a factor of j - 2/(-4)*-2?
False
Let a = 11 - 11. Suppose 2*s - 8 = 0, a = -3*g + 2*s - 0*s + 19. Does 6 divide g?
False
Suppose -2*p + 2 = -0. Does 6 divide ((-14)/(-6))/(p/3)?
False
Let a = -25 - -154. Does 42 divide a?
False
Let i(f) = -f. Let p be i(-4). Let r be (p/5)/((-2)/(-260)). Suppose 3*l - r = -l. Is l a multiple of 13?
True
Let a(o) = 4 + 7*o - 5 + o - 3*o. Does 15 divide a(10)?
False
Is 16 a factor of 2/8 - (-2 - (-6840)/(-32))?
False
Suppose -2*t = 3*t - 30. Suppose -4*o = t - 22. Let h = 22 - o. Is 9 a factor of h?
True
Let s(y) = y**3 + 2*y**2 - 5*y - 3. Let g be s(-3). Suppose g*m = 6*m - 81. Is 9 a factor of m?
True
Suppose -5*f - 5*o = -0*f + 5, 2*o + 23 = 5*f. Suppose -2*t = f*t - 60. Suppose -t - 12 = -3*v. Is v a multiple of 8?
True
Let m(x) = 35*x - 7. Let v(s) = -36*s + 6. Let q(a) = 5*m(a) + 6*v(a). Is q(-1) a multiple of 14?
True
Let x(w) = -40 + 14 - 5*w**2 + 10 - w**3 + 15 - 2*w. Let b(f) = -f**2 - 5*f - 5. Let k be b(-5). Does 3 divide x(k)?
True
Suppose -4 = -t - t, 0 = -2*l - 5*t + 18. Let f be (16/28)/(l/14). Suppose -f*o + 120 = o. Does 14 divide o?
False
Let h = 139 + -76. Does 21 divide h?
True
Suppose -p - 215 - 234 = -3*y, -2*y + 2*p + 306 = 0. Is y a multiple of 35?
False
Suppose -g - 3 - 3 = 0. Does 6 divide (-3)/2*40/g?
False
Let v(f) = f**3 + 5*f**2 - 5*f + 4. Does 15 divide v(3)?
False
Suppose 3*k - x = 24, 0 = -4*k + 4*x + 21 + 11. Is 4 a factor of k?
True
Suppose -3*w - 7 = -2*v, -3*w = -4*v + 2*w + 13. Suppose -v*o + 13 = -o. Let m = o + -5. Does 4 divide m?
True
Let n be -1 - 4*(2 + -1). Is 21 a factor of (10/n)/((-2)/21)?
True
Suppose -23 + 8 = -3*j - 3*o, 0 = -4*j - 3*o + 21. Let u = j + 14. Does 10 divide u?
True
Suppose 4*k = 3*k + 3*x - 27, 4*k = -2*x - 136. Does 13 divide (-6)/k - 768/(-11)?
False
Suppose 5*i - 3 = 3*l, 3*l = -i + 9 + 6. Let f(c) = -c**3 + 6*c**2 - 2*c. Is f(l) a multiple of 12?
True
Let c(a) = 18*a**2 + 2*a - 1. Let o be (-2)/1 - (-1 - 2). Does 6 divide c(o)?
False
Suppose 5*a - 4*a - 3 = 0. Suppose 4*f + a*m = 1, 6*m - 2 = -3*f + 4*m. Does 3 divide f?
False
Let m = -2 + 7. Suppose v = m*v - 28. Is v a multiple of 2?
False
Suppose 124 = 4*q + 5*t - 33, -5 = -5*t. Is 10 a factor of q?
False
Let y(n) = 5*n - 12*n + 2*n**2 - 2 - 4*n. Is y(6) even?
True
Let y(n) = -n**3 + 6*n**2 - 3*n + 8. Let d be y(6). Let c be 74/3 + 6/18. Let g = d + c. Is 8 a factor of g?
False
Suppose 6*o = -0*o + 288. Is o a multiple of 3?
True
Suppose -13*y + 102 = -10*y. Is y a multiple of 34?
True
Suppose -u + 3 = 3*o, 0 = -4*u + 4*o - 2*o + 12. Suppose -10 = -z + 5*g + 32, 19 = 2*z + u*g. Is 4 a factor of z?
False
Let a be 8 + (-1 - 0/2). Let f = a + -3. Suppose -c = 5, -9 = -4*t - 7*c + f*c. Does 2 divide t?
True
Suppose 30 = 2*w - 0*w + 4*a, -4*w - 2*a = -30. Suppose -4 - 21 = -4*s - w*v, -2*s + 11 = 3*v. Is 5 a factor of s?
True
Let n(i) = -2*i**3 + 0*i**3 + 7*i**2 - 4 + i**3. Suppose 3*a - a = 10. Is 23 a factor of n(a)?
True
Suppose -5*c + 1171 = 356. Suppose 0 = -p + 2*k - 45, c = -3*p + 4*k - 5*k. Does 9 divide (-1)/(-3) + p/(-3)?
True
Let j be 3*(1 - 8/(-6)). Let c = 4 - j. Let l = c - -16. Does 13 divide l?
True
Does 10 divide 1*(3 - 5) + 32?
True
Suppose -3*b + 5 = -4*h + 21, 5*h - 20 = -4*b. Suppose 4*x + 86 = 2*a, -94 = -2*a - b*a + 2*x. Is a a multiple of 17?
True
Let w(i) = -i**2 + 5*i + 4. Let s = 4 - -1. Let x be w(s). Suppose x*r + l = 117, 0*r - r = -5*l - 45. Is r a multiple of 14?
False
Let w = 7 + -1. Let q be (4/w)/((-4)/6). Let x(p) = 36*p**2 - 2*p - 1. Is 12 a factor of x(q)?
False
Let q be 100/36 + 2/9. Let l be (-3 - -6)/(q/(-2)). Does 2 divide (4 - -1) + 0 + l?
False
Suppose 3*x = -2*x. Suppose -2*p + 1 = -p. Is 32 + (x - (1 - p)) a multiple of 12?
False
Let c(t) = -2*t**3 - 2*t**2 - 3*t - 1. Is 11 a factor of c(-3)?
True
Let t(p) = -p**2 + 4*p + 8. Let c(b) = -5*b**2 + 19*b + 41. Let q(x) = -2*c(x) + 11*t(x). Does 11 divide q(5)?
True
Suppose -3*o + 6 + 57 = 0. Is 7 a factor of o?
True
Suppose t - 2*t + 11 = 0. Let i = 1 + t. Does 6 divide i?
True
Let t(h) = -2*h. Let q be t(2). Suppose 0 = -4*n - g + 25, -3*n + 1 = g - 18. Does 19 divide (-2)/n*(q + -53)?
True
Suppose -a + 15 = 2*j - 4*j, j + 16 = a. Let z = -2 + a. Suppose 0 = 2*p - 5*n - 26, 24 = 3*p + 3*n - z. Does 13 divide p?
True
Let z = -43 - -123. Does 20 divide z?
True
Suppose 0 = d + h + 80, -d + 0*h = 5*h + 92. Let t = 112 + d. Is 17 a factor of t?
False
Let c(k) = -k + 8. Let u be c(5). Let v = 3 + u. Does 6 divide v?
True
Suppose 0 = -2*v - 2*v + 132. Is 17 a factor of v?
False
Let t(r) = 4*r**3 - 3*r**2 - 4*r. Let n be t(3). Suppose -5*s - n - 1 = -5*m, m + s - 8 = 0. Is 3 a factor of m?
False
Let v be (10 + -2)*(-138)/(-8). Suppose 0 = -5*z - 2*b + v, 2*z - 5*b = -4 + 65. Is z a multiple of 7?
True
Let p(b) be the second derivative of b**5/20 - 5*b**4/12 + b**2 - 3*b. Let t be p(5). Suppose t*o - 6*y = -y - 3, 5*o + 5*y - 80 = 0. Is o a multiple of 5?
False
Does 9 divide 74*2/(7 - 3)?
False
Suppose 0 = 4*x - 5*o + 85, 2*x = 6*x - o + 65. Let l(j) = j**3 + 14*j**2 - 17*j - 17. Is 12 a factor of l(x)?
False
Suppose 6*z - 4*z - 190 = 0. Suppose -z - 760 = -5*s. Suppose 3*h + 3*a = s, 2*h - 81 = -3*a + 36. Is h a multiple of 15?
False
Is 10/(-20)*268*(1 - 2) a multiple of 23?
False
Let a be (-36)/10 - 6/15. Let j(m) = 4*m**3 + m**2 + 6*m + 9. Let f(o) = -o**3 + o**2 - o - 1. Let z(k) = -3*f(k) - j(k). Does 6 divide z(a)?
True
Suppose 4*h + b = 3*b + 70, -3*h + 3*b = -48. Is 19 a factor of h?
True
Let f(p) = -p**2 + 15*p - 6. Does 25 divide f(8)?
True
Let z be (-3 - (-24)/10)*5. Let c be 0 - z - -2*67. Suppose 5*w - c = -32. Is w a multiple of 16?
False
Let u = 24 - -76. Suppose b + 3*b = -4*j - u, -4*j + 5*b = 109. Let g = -11 - j. Does 15 divide g?
True
Let y = 38 - -80. Suppose 470 = 4*j + 2*o, 5*j + o = 2*o + 584. Suppose 5*w = -3*s + j, -5*w - s + y = s. Is w a multiple of 11?
False
Let x(j) = -j**3 - 12*j**2 - j + 2. Let y be 1/2 + 50/(-4). Let k be x(y). Let h = 24 - k. Does 10 divide h?
True
Let b(a) = a - 9. Let s be b(12). Let v = 8 - 4. Suppose -2*i = -4*c - 54, -i + s = -v*c - 18. Does 11 divide i?
True
Suppose 4*b - b - 78 = 0. Is b a multiple of 13?
True
Let z be 3/(-9) - 19/(-3). Let o(d) = 5*d**2 + 6*d + 10. Let t(g) = 4*g**2 + 6*g + 9. Let j(w) = -5*o(w) + 6*t(w). Does 4 divide j(z)?
True
Suppose 11 = 2*k - 101. Is k a multiple of 8?
True
Let f(d) = 6*d**2 + 2*d + 1. Let t be f(-1). Suppose t*n - 5 = 160. Is 33 a factor of n?
True
Let d(h) = -13*h + 8*h + h**3 - 1 + 0*h**3 + 4. Suppose -5*k + 21 = 6. Is d(k) a multiple of 15?
True
Suppose -1 - 11 = -3*i. Suppose -i*a = 4*g - 256, -6*a + 235 = -2*a - 3*g. Does 16 divide a?
False
Let l = 1 - -11. Is (-8)/l + (-88)/(-6) a multiple of 14?
True
Let i(d) be the first derivative of -d**4/12 + 2*d**3/3 + 3*d**2/2 - 3*d - 1. Let c(f) be the first derivative of i(f). Is c(3) a multiple of 4?
False
Let o(l) = l - 1. Let z(x) = 37*x + 5. Let q(d) = -2*d