 = 4*d(k) - 3*u(k). Does 11 divide a(-2)?
False
Let b = -8 - -22. Does 12 divide b?
False
Let m(v) be the third derivative of v**6/120 + 7*v**5/60 + 4*v**2. Let h be m(-5). Suppose 2 = -3*o + h. Is 16 a factor of o?
True
Suppose 3*q - 322 = -40. Is q a multiple of 11?
False
Let v(s) = -s**3 - 4*s**2 + 2*s - 9. Is 2 a factor of v(-5)?
True
Let o(j) be the third derivative of j**6/8 - j**5/30 - j**3/6 - 7*j**2. Is 37 a factor of o(2)?
True
Let b(g) = 3*g**2 + 12*g - 29. Does 34 divide b(-7)?
True
Let f = -4 - -4. Suppose -j - 3*j + 5*d + 81 = f, 0 = -j - 4*d + 15. Does 7 divide j?
False
Let a = 1 - -1. Let k = a + 0. Suppose 7*z - 64 = 3*z - 4*u, k*u + 2 = 0. Is 17 a factor of z?
True
Let g(o) = -o**3 + 13*o**2 - 12*o + 12. Is g(12) a multiple of 2?
True
Let d(z) = -10*z - 1. Let n be d(-1). Suppose -4*x + n*x - 285 = 0. Is x a multiple of 15?
False
Let h = 19 + -14. Let f(w) = w**3 - 5*w**2 + 6*w + 7. Does 13 divide f(h)?
False
Let l(h) = h**2 + 5. Let r(w) = -2*w**2 - 9. Let a(z) = -11*l(z) - 6*r(z). Is a(-2) even?
False
Let m be (-121)/(-3) + (-10)/(-15). Let d = -7 + m. Is d a multiple of 17?
True
Let b be 1/(-2) - 25/(-2). Let a be (-3)/b - 13/(-4). Suppose 0 = a*t - 4*t + 10. Is 9 a factor of t?
False
Suppose -x = -0*x - 2*c + 2, 3*x + c - 1 = 0. Suppose x*t = 4*t - 36. Is t a multiple of 9?
True
Let a = -20 + 62. Does 8 divide (a/2)/((-30)/(-40))?
False
Let b(t) = t**2 - 10*t + 7. Does 31 divide b(12)?
True
Let h be (-6)/8*(-1 - -9). Let z(x) = -5*x + 2. Let c(a) = -a + 1. Let n(k) = 6*c(k) - z(k). Does 6 divide n(h)?
False
Suppose -90 = -6*d + 48. Is d a multiple of 14?
False
Let r(d) = -8*d**2 - 4 + 6 - d**3 + 9. Is r(-8) a multiple of 3?
False
Let g(x) = -x**3 + 7*x**2 + x. Let f be g(7). Let i = -4 + f. Suppose 5*u - 56 = -s, 3*s - i = -0*s. Is 4 a factor of u?
False
Let b be ((-27)/18)/(1/(-2)). Suppose -b*o - 64 = -5*o. Does 8 divide o?
True
Let m = 12 - 10. Suppose 0 = m*o - 3 - 21. Is 6 a factor of o?
True
Let q = -75 - -82. Does 7 divide q?
True
Does 2 divide (4 + -2)/(4/16)?
True
Let p(z) = z**2 + 5*z - 7. Suppose -c = -3 + 10. Does 2 divide p(c)?
False
Let w = 0 - -4. Suppose -3*g - 13 = -w*g. Suppose 2*o - g = -3. Is 5 a factor of o?
True
Suppose -6*z + 3*z = -12, -2*z = 3*k - 38. Let m = k - 10. Suppose 0*d - 5*a - 27 = -d, -2*a - 2 = m. Is d a multiple of 15?
False
Suppose -13 = 3*k + 2. Does 4 divide k*(-2)/(-4)*-4?
False
Suppose -4*d + d - l - 174 = 0, 0 = 2*d - 3*l + 105. Let n = d - -87. Is 10 a factor of n?
True
Let r be ((-4)/(-6))/((-4)/(-102)). Let f = r + -2. Is f/(-2)*6/(-9) a multiple of 2?
False
Let k = 105 + 1. Is 36 a factor of k?
False
Suppose -2*c + 0*c + 10 = 0. Let f = c - 2. Suppose 0*g + 25 = 4*u + g, -f*u + 2*g = -16. Is u a multiple of 6?
True
Let j be 1/(-2)*-2 + 21. Let q(f) = 2*f + 4. Let a be q(0). Suppose a*w = 3*w + j. Does 22 divide w?
True
Let k = 2 - -42. Does 22 divide k?
True
Let p be (-1*2)/(-1) + 6. Suppose 2*o = 4*o - 24. Does 8 divide p/o*(1 - -23)?
True
Suppose -2 = m + 2, -3*s = m - 98. Is s a multiple of 12?
False
Let b(u) = u**3 + 5*u**2 - 9*u - 6. Let y be b(-6). Is 24 a factor of 2/y + 287/6?
True
Suppose 4*n = 4*k - 56, -3*n = -5*k - n + 64. Suppose -f = -k - 21. Is f a multiple of 11?
True
Suppose 6 = -3*g, -2*c + 5*g = -15 - 3. Suppose c*p + 2*j - j - 153 = 0, 5*p = 5*j + 160. Is p a multiple of 9?
False
Let f(i) = i**3 - 4*i**2 - i. Suppose 5 = v + 3. Suppose -26 = -4*j + 5*k - 2*k, -5*j + 29 = -v*k. Is f(j) a multiple of 11?
False
Let f(g) be the third derivative of g**6/120 - g**5/60 - g**4/8 - g**3/3 - 4*g**2. Is 5 a factor of f(3)?
False
Let g = 4 + 3. Let q be (48 - 1) + (5 - g). Suppose f - q = -6. Does 13 divide f?
True
Is 9 a factor of 0 - 1/(-3) - (-265)/15?
True
Let b be 0 + 2 + (-32)/(-2). Suppose -b = -5*i + 242. Does 26 divide i?
True
Does 36 divide (-189)/4*192/(-36)?
True
Let b be 8/(-2*4/40). Let o = b - -70. Does 11 divide o?
False
Let g(r) = r**2 - 6*r + 5. Let t be g(5). Let o be 2*(-1 + 0) + 132. Suppose t*i = 5*n - 2*i - o, -3*n + 47 = 5*i. Is n a multiple of 11?
False
Suppose -22*f = -27*f + 175. Is 22 a factor of f?
False
Let k(a) = -2*a - 7. Does 13 divide k(-11)?
False
Suppose -21*r + 412 = -19*r. Is r a multiple of 27?
False
Let b = -62 - -133. Does 15 divide b?
False
Suppose -3*p + 10 = -o, 5*p + o = 4*p - 2. Suppose -p*s - 23 = 49. Is 7 a factor of (s/10)/((-2)/10)?
False
Let c(h) = 10*h**2 - h + 1. Let g be c(-4). Suppose 4*b = -5 + g. Is b a multiple of 20?
True
Let b = -5 + 26. Is b a multiple of 19?
False
Let g be ((1 + -1)/3)/(-1). Suppose 0 = -g*u + 4*u - 60. Is u a multiple of 6?
False
Let j(i) = 2*i**2 - i + 4. Let l be j(-3). Let h be ((-20)/l)/(2/(-20)). Suppose 0 = 3*d - h*d + 15. Is d a multiple of 3?
True
Let r(t) = -11*t**2 + 2*t - 1. Let l be r(-2). Let n = -14 - l. Is 17 a factor of n?
False
Suppose -j - 2*f + 15 = 0, -42 = -3*j - 3*f - 9. Let q = 5 - j. Let v(k) = -10*k - 2. Does 9 divide v(q)?
True
Let x = 69 + 84. Is x a multiple of 30?
False
Suppose -12 = -0*q - 4*q. Suppose -k = 4*k - 5, q*u + 6 = -3*k. Let i(d) = -d**3 - d**2 + 2*d + 4. Is i(u) a multiple of 8?
True
Suppose -2*x - 58 - 24 = -3*j, 2*j = 0. Let u = x + -6. Let n = u + 70. Does 19 divide n?
False
Let i(y) = -y**3 + 8*y**2 - 8*y - 6. Suppose 34 = 5*n + 4. Does 18 divide i(n)?
True
Suppose 0 = -5*s + 13 + 2. Let k = 13 - s. Is 4 a factor of k?
False
Does 5 divide 182/39 + 1/3?
True
Let k = 26 + -21. Suppose -2*f - 4*r + 88 = r, 220 = k*f - 4*r. Is 22 a factor of f?
True
Let d be (-28)/(-6) + 2/(-3). Let z(a) = a**3 - 3*a**2 + a - 5. Does 5 divide z(d)?
True
Does 22 divide 231*(-10)/(-45)*6/4?
False
Is (51 + 3)/(4 + -3) a multiple of 8?
False
Suppose -z = -4*v + 18, v + 5*z - 20 = -v. Suppose 0 = -v*l - 2*b + 6, 2*b = -2*b - 8. Is 2 a factor of l?
True
Let y = 20 - -58. Does 13 divide y?
True
Let i = -11 - -17. Let u(p) = p**2 + p - 2. Is u(i) a multiple of 10?
True
Suppose 149 = 4*r - 35. Suppose -3*k - 2*k = -3*l + r, 40 = 2*l - k. Does 19 divide l?
False
Suppose -2*v + 8 = -0*v. Suppose -3*i + 4 = -v*d, -3*i = -0*i - 3*d - 3. Suppose -5*r + 120 = 2*p, -r - p + 21 = -i*r. Does 9 divide r?
False
Let q = -15 - -12. Let c = 7 + q. Is 2 a factor of c?
True
Let o(q) = q**3 + 10*q**2 + 11*q - 8. Suppose 4*z + 16 = 2*z. Is o(z) a multiple of 10?
False
Suppose 274 = 2*o + 84. Is o a multiple of 10?
False
Let m(x) = -x - 14. Let y be m(-12). Let j be (-13)/(-3) + 6/9. Let z = y + j. Is z even?
False
Let u = -12 + 18. Is 3 a factor of u?
True
Suppose 5*w - 3*h = 189, 3*h - 20 = -w + 7. Is w a multiple of 12?
True
Let d be 3/6 + (-22)/(-4). Suppose 3*i = d + 6. Suppose 0 = -3*f - i*h + 26, -7*f + 2*f = -2*h - 26. Is f a multiple of 6?
True
Suppose 5*z = 1 + 164. Does 11 divide z?
True
Let k(d) = -d - 3. Let a be k(-3). Let y(g) = -g - 1. Let s(u) = 4*u - 28. Let x(o) = -s(o) - 3*y(o). Is x(a) a multiple of 16?
False
Suppose 5*w + 39 = b - 208, 3*w - 965 = -4*b. Is 45 a factor of b?
False
Let s(f) = 14*f**2 + f. Let i(m) = m**2 + 2*m + 2. Let y be i(-3). Suppose 4*a + 3*t = t - 12, -y*t = 20. Does 13 divide s(a)?
True
Let f(g) = g**2 - 6*g - 17. Does 9 divide f(10)?
False
Suppose -3*v - 24 = -0*v. Let o be 0 + (v + 0)*-4. Let i = o + -23. Is 9 a factor of i?
True
Let j(u) = 2*u**2 + 4*u + 3. Does 20 divide j(-8)?
False
Let d = -4 + 8. Suppose o + d*z - z - 1 = 0, o - 2 = -2*z. Suppose 3*t - 9 = 4*m + 17, 5*t + o*m = 86. Is t a multiple of 5?
False
Let s(x) = -3 - 5 + 0 - 1 + 5*x. Is 20 a factor of s(10)?
False
Suppose -4*c = 0, -c - 2*c - 30 = -5*o. Let x = 13 - -17. Suppose -r + x = -o. Does 18 divide r?
True
Suppose 3*z = 4*z - 1. Suppose -v + z + 13 = 0. Does 14 divide v?
True
Suppose -40 - 40 = -5*b. Let s = 30 - b. Let i = s - 0. Does 6 divide i?
False
Suppose 0 = -5*w - 31 + 206. Is 5 a factor of w?
True
Let z(n) = -n**3 + 6*n**2 - 7*n. Let j be z(6). Let l = j + 76. Is 22 a factor of l?
False
Suppose d + d - 380 = 0. Suppose 0 = j + i + 42 - d, 2*i = -4*j + 596. Suppose -w + j = 4*w. Does 11 divide w?
False
Let c(a) = a + 19 + 7 - 10. Is 5 a factor of c(-8)?
False
Let t be 14 - (4 - (-2 - -10)). Let s = t - -14. Does 8 divide s?
True
Let f be (3 - 3)/(-1)*1. Let u(t) = -t - 6. Let b be u(-6). Does 5 divide (f - b) + 13 + 1?
False
Let h = -1 + 26. Is 5 a factor of h?
