. Is 11 a factor of s(5)?
True
Suppose 2*m = 3*m + 30. Let j = -16 - m. Is j a multiple of 14?
True
Let h(f) = 2 - f**2 + 9*f + 3*f**2 - f**2. Let u be h(-8). Let q = -1 - u. Is q even?
False
Let j(s) = -s**3 - 7*s**2 + s + 10. Let x be j(-7). Suppose -b - 4*a = -32, x*b + 2*a - 96 = 5*a. Does 11 divide b?
False
Let v = -72 - -217. Does 33 divide v?
False
Let k(a) be the second derivative of a**5/4 + 2*a**3/3 - 3*a**2/2 + 2*a. Does 15 divide k(2)?
True
Suppose -b + 3*l - 2 = -27, -2*l + 44 = 4*b. Is b a multiple of 7?
False
Suppose -5*d + 99 - 24 = 0. Suppose -3*f + d = 2*z, 13 = 5*z - f - 33. Is 9 a factor of z?
True
Let f(d) = d**3 + 5*d**2 - 4*d - 1. Let y(s) = s**3 - 7*s**2 - 5. Let v be y(7). Is f(v) a multiple of 19?
True
Suppose 8 = 4*p + k, -3*p - 2*k - 3*k = 11. Suppose p*h + 2*h = -145. Let f = 73 + h. Is f a multiple of 15?
False
Let l(y) = 19*y**2 + y - 1. Suppose 0*d + d + 4 = 0. Let a = d - -5. Is 19 a factor of l(a)?
True
Let j(z) = 5*z**3 + z**2 + z - 1. Let p be j(1). Let w = p - 4. Suppose 0 = -5*c - w*a + 58, 0 = -3*c + c - 2*a + 22. Does 12 divide c?
True
Let l be 20/(-15)*3/2. Let n = 5 + l. Suppose 3*t = 2*a + 65, -t + 64 = n*t + 3*a. Is 6 a factor of t?
False
Let u = 0 + 4. Suppose -33 = 5*x - 2*g, x - 2*g = -u*g + 3. Let r = 27 + x. Is r a multiple of 8?
False
Let a(f) be the first derivative of -2*f - 5/2*f**2 + 2 + 1/3*f**3. Is a(8) a multiple of 11?
True
Let w = 20 + 21. Is w a multiple of 16?
False
Let p be 0/((2 - 4)/1). Let t(b) = -b + 13. Is t(p) a multiple of 13?
True
Let l(x) = x**2 - 10*x. Let j be l(10). Suppose -6*g + 3*g + 33 = j. Is 3 a factor of g?
False
Suppose -5*d - 17 = -702. Is d a multiple of 29?
False
Let n(j) = j**2 - 8*j - 6. Let k be n(9). Suppose 10*p - 5*p - 16 = -k*v, v - 2*p + 2 = 0. Suppose 88 = -v*f + 6*f. Does 11 divide f?
True
Let y(w) be the third derivative of -5*w**4/6 - w**3/2 - 3*w**2. Let u(d) = 13*d + 2. Let m(c) = -8*u(c) - 5*y(c). Is 11 a factor of m(-3)?
True
Let o(y) = 8*y. Suppose q + 1 = -x, q + 0*x - 14 = 2*x. Is o(q) a multiple of 14?
False
Let g(r) = r**3 + 10*r**2 + 9*r + 2. Let h be g(-9). Suppose 2*o = -h*o. Suppose o*t = 5*t - 95. Does 8 divide t?
False
Suppose -86 = o - 4*a, 3*a - 208 + 41 = 2*o. Let d = o - -131. Is d a multiple of 19?
False
Is 2 a factor of -2 + 4 + -5 - -6?
False
Suppose 3*z + z - 12 = 0. Suppose 3*l - 3 = z. Suppose -5*p + 17 = -l*j, -4*p + 8 = -0*p - 3*j. Is 2 a factor of p?
False
Let n(m) = m**3 - 2*m**2 - 3*m + 3. Let x = 6 - 3. Is 2 a factor of n(x)?
False
Let o = 266 + -128. Is 23 a factor of o?
True
Let x(n) be the second derivative of -n**5/20 - n**4/2 + 7*n**2/2 + 3*n. Is 7 a factor of x(-6)?
True
Suppose -2*q + 5*q + 219 = 4*a, -2*q - 222 = -4*a. Let i(z) = 12*z - 6. Let k be i(3). Let x = a - k. Is 17 a factor of x?
False
Does 22 divide 32/((-5)/2 + 3)?
False
Let y(l) = l**2 - 10*l + 4. Let z be y(12). Suppose -z = -f + 2. Does 18 divide f?
False
Let h(n) = -n**3 + 8*n**2 + 9*n + 4. Is 4 a factor of h(9)?
True
Let i be 19 + (2 - 6 - -1). Suppose c - i = -0. Is c a multiple of 10?
False
Does 62 divide 3/(-9) + -4*2238/(-72)?
True
Let i(v) = v**2 + 2*v - 1. Let k = -3 - -2. Let o be (-1 - -2)/(k/5). Is 7 a factor of i(o)?
True
Let x = -160 - -343. Does 12 divide x?
False
Suppose -2*u + 3*u = -q + 9, -4*u - 3*q = -31. Suppose 0 = u*z - 95 + 375. Let f = -36 - z. Does 14 divide f?
False
Suppose -5*b - 4*r - 3 = 0, -5*r - 9 = -b + 2. Is (-6)/(-3) + 29 - b a multiple of 15?
True
Let p(v) = -3*v + 1. Is p(-6) a multiple of 12?
False
Let m be (-1)/2*2 - -4. Suppose -y + 4 = -0*y. Suppose m*r = -2*p + 72, -3*r + y*p + 72 = 2*p. Is 10 a factor of r?
False
Let r = 8 + 9. Does 5 divide r?
False
Suppose a - 3 = -4*y - 0, 4*a + 2*y = -16. Let r(g) = -4*g + 4. Is 16 a factor of r(a)?
False
Suppose 4*g + 39 = 2*h + 101, 5*g + 5*h - 70 = 0. Does 15 divide g?
True
Let j be (58/(-3))/((-8)/12). Let r = j + 7. Is r a multiple of 9?
True
Let g = -9 - -51. Suppose -g = -5*n - a, -n + 2*a + 15 = -0*a. Is n a multiple of 4?
False
Suppose 4*i + 5*l - 355 = -87, i - 4*l - 88 = 0. Suppose u = 3*s - i, s + 8*u - 8 = 3*u. Does 11 divide s?
False
Let s(f) = 2*f**2 - 3*f - 2. Let v be s(-3). Let d = v + -19. Is 6 a factor of d?
True
Let u be (5 + -1 + -2)*1. Suppose 23 = 3*r - s - 31, 0 = -u*r + s + 36. Is r a multiple of 7?
False
Let u = 18 + -13. Suppose 2*p = -u - 1. Let i(x) = 2*x**2 - 3*x - 3. Is i(p) a multiple of 13?
False
Let c(d) = -15*d + 0*d**2 + 19*d + d**2 + 11 - 10*d. Is 10 a factor of c(8)?
False
Suppose -5*b + 13 = -2. Let d be 58/(-2 + 1) - b. Let k = -35 - d. Does 8 divide k?
False
Let p be 0 + 6/2 - -7. Is (-2)/p + 172/10 a multiple of 12?
False
Let z(u) = -4*u**3 - u**2 + u + 2. Suppose 1 - 5 = 2*q. Is 10 a factor of z(q)?
False
Let s be (2 + 0)*(-5)/(-5). Suppose -r - s*r + 72 = 0. Is r a multiple of 19?
False
Let t be -1 - 15/6*-2. Suppose t*u - 22 = 34. Let y = u + 9. Is 14 a factor of y?
False
Let c(f) = -f**3 - 13*f**2 - 14*f + 1. Does 16 divide c(-12)?
False
Let a(z) = -10*z**3 - 4*z**2 + 2*z + 1. Let b be a(2). Let m = -59 - b. Does 24 divide m?
False
Let m be 2/(-7) - (-172)/14. Let a be 2*(-3)/m*2. Is 5 a factor of (-2 + -1 + -2)*a?
True
Let j be (-18)/(-1)*4/8. Suppose -i = -16 - j. Does 21 divide i?
False
Let u = 116 + -59. Does 34 divide u?
False
Let i(m) = 3*m**2 + m - 2. Let d be i(-2). Let l be d*9*(-6)/(-8). Let u = 78 - l. Is u a multiple of 12?
True
Let m(d) = d. Let z = 3 - -3. Let o be m(z). Is 7 a factor of (-39)/(-2)*8/o?
False
Suppose d - 288 = -2*m - 3*d, 2*d = 2*m - 288. Is 36 a factor of m?
True
Let a(s) = s**3 + s**2 - 8*s. Is a(7) a multiple of 24?
True
Let s = 389 - 185. Suppose 135 = 3*w + 3*c, 3*c + s = 5*w + c. Suppose 2*i + 0*i - 4*a - w = 0, -i + 4*a + 17 = 0. Does 9 divide i?
False
Let u = 201 - 99. Suppose 2*k + k = -u. Let r = 50 + k. Is r a multiple of 7?
False
Suppose 2*u + 10 = -5*g, 0 = -5*g + 2*u - 7 + 17. Let z(d) = 2*d + 40. Is z(g) a multiple of 20?
True
Let v be -12*(9/(-24))/((-12)/40). Let z = 1 - -3. Is 50/z*(-12)/v a multiple of 10?
True
Let p(n) = n**3 + 12*n**2 + 7*n - 4. Let m be p(-11). Let g = m + -18. Is 13 a factor of g?
False
Let a be (1 + (1 - 5))*-1. Suppose 3*j = -k + 2, 0 = 6*j - a*j - 5*k - 26. Suppose 0*n = -j*n + 32. Does 8 divide n?
True
Let i(b) = 27*b**3 + b**2 - 1. Let y be i(1). Suppose -31 = -r + 4*q - 7*q, -y = -2*r + q. Is r a multiple of 6?
False
Let k be (4/(-5))/(1/(-10)). Suppose 4*s = -k, 3*h - 7 = 2*h + 2*s. Does 3 divide h?
True
Suppose f = -2*f + 180. Does 15 divide f?
True
Let a(r) be the third derivative of -r**6/120 - r**5/20 + 3*r**4/8 - 7*r**3/6 - r**2. Let u be a(-7). Let g = u - 66. Does 20 divide g?
True
Suppose 80 = 2*c - d + 2*d, -3*d + 12 = 0. Let f = c + -92. Let t = f + 90. Is 18 a factor of t?
True
Let o(r) = r**3 + 2*r**2 - 3*r + 2. Is 12 a factor of o(2)?
True
Let r(a) = -a + 10. Let o be r(9). Suppose -1 = -2*w + o. Let g = w - -3. Does 4 divide g?
True
Does 8 divide ((-2)/1 - (-16)/(-8))*-36?
True
Let f = 21 + -19. Suppose 231 = 2*u + 5*x + 72, -x - 189 = -f*u. Does 26 divide u?
False
Suppose 0 = -3*b - 7 + 16. Let s = b - 1. Let q(g) = g + 2. Is q(s) a multiple of 3?
False
Let n = 99 - 141. Is 1 - (n + 4) - 4 a multiple of 7?
True
Let f = 22 - 46. Let c = -16 - f. Is 8 a factor of c?
True
Let v be 6/(-4)*50/(-15). Suppose 16 = 5*b + 4*d - 70, v*b = 2*d + 62. Is b a multiple of 14?
True
Suppose -75 = -4*g - g. Let n = -4 + g. Let m = n + 11. Is m a multiple of 9?
False
Let d(h) = h - 1. Let u be d(5). Suppose g - 20 = 2*g - 4*j, -2*g = -u*j + 20. Is 11 a factor of g - (-33)/6*2?
True
Suppose -4*x = g - 6*x - 12, -34 = -4*g + x. Is 4 a factor of g?
True
Let m(c) = -3*c - 5. Let l(h) = h**2 + 9*h - 9. Let o be l(-9). Does 6 divide m(o)?
False
Let w = 53 - 18. Is w a multiple of 5?
True
Let b(u) = -23*u. Let m = 5 - 7. Is 24 a factor of b(m)?
False
Is 3 a factor of (-3 - (-9)/(-2))*-2?
True
Suppose 5*p + 83 + 257 = 0. Let q = -20 - p. Is 13 a factor of q?
False
Let c = -8 + 3. Let r(l) = 11*l**2 + 6*l + 14. Let b(w) = -4*w**2 - 2*w - 5. Let v(o) = 8*b(o) + 3*r(o). Is 17 a factor of v(c)?
True
Let u(t) = -t**2 - t + 1. Let v(s) = -5*s**2 + 7*s + 20. Let i(k) = -4*u(k) + v(k). Does 4 divide i(12)?
True
Suppose -5*c - 10 = 0, -3*c = -4*x + 202 + 200. 