
False
Let a be (-1)/3 - (-2)/(-3). Let x = 12 - a. Is 8 a factor of x?
False
Suppose 5*l - p = 1097, 3*l - 3*p - 654 = -p. Does 55 divide l?
True
Suppose 0 = 3*o - 3*m - 3, o + 3*o + 4*m - 20 = 0. Suppose -120 = o*q - 5*q. Does 15 divide q?
True
Suppose 5 = -5*i - 5. Let c(b) = -3*b**2 + 2*b + 2. Let o be c(i). Is 0 - o - -1 - -2 a multiple of 10?
False
Let w(g) = 2*g**2 + 11. Does 12 divide w(5)?
False
Let v(w) = 2*w**2 + 10*w + 10. Is v(-9) a multiple of 11?
False
Suppose 5*d = -3*h - 244 + 72, -3*d - 100 = h. Let x = d + 64. Is 8 a factor of x?
True
Let s = 9 - -6. Is (67 - s)/(1/2) a multiple of 26?
True
Let f(x) = -x**3 - 4*x**2 + 5*x + 3. Let n be f(-5). Is 25 a factor of (-2)/3*-75 + n?
False
Suppose 8 = 2*k - 0. Suppose 35 - 259 = -k*z. Suppose -l - l + z = 0. Is l a multiple of 14?
True
Let m(b) = -b + 28. Is m(18) a multiple of 4?
False
Suppose 0 = -h - 3*h + 228. Suppose -3*v - 63 = -4*c, 0 = -0*c + 4*c - 5*v - h. Suppose 5*w - c = -3. Does 3 divide w?
True
Let l(k) = -k + 2. Let a be (-33)/(-12) + 1/4. Let m be l(a). Is 8 a factor of 0 + m - (-24 - -2)?
False
Let k(x) = x**2 - 4*x - 1. Let q(c) = -c**2 - 16*c + 23. Let u be q(-17). Is 11 a factor of k(u)?
True
Let r(t) = 32*t**2 + 1. Is 11 a factor of r(1)?
True
Suppose -6*g - 13 - 11 = 0. Let z(i) = -i**2 - 8*i - 3. Is 3 a factor of z(g)?
False
Let x(a) = a**2 + a + 4. Let j be x(-12). Suppose -3*v + j = v. Does 17 divide v?
True
Suppose -57 = -3*s + 36. Is s a multiple of 9?
False
Suppose -4*n + n - 3 = 0. Let u be (0/n)/(4 + -1). Suppose 0 = -2*p - 5*r + 73, u*p + 3*r = -p + 39. Does 12 divide p?
True
Let u(l) = -4 - 2 - 7*l + 3*l - 1. Does 8 divide u(-5)?
False
Let n = 1 - -1. Suppose -21 = -n*s + 3. Is s a multiple of 5?
False
Suppose 4*a - 268 = -4*t, t + 145 = 2*a + 14. Is a a multiple of 33?
True
Let n = -75 + 168. Is n a multiple of 13?
False
Let s = -10 + 14. Suppose -m + s*m = 15. Is m a multiple of 5?
True
Let s(m) = -m - m + 3 - 5*m. Suppose 9 = -9*y + 6*y. Is s(y) a multiple of 12?
True
Suppose -5*k = -2*d + 3, -3*d - k = -2*d - 5. Let b = 0 + d. Suppose -v + b*v = 69. Does 9 divide v?
False
Let s be 83 - (6/(-3) + 1). Suppose -m + s = 2*m. Does 14 divide m?
True
Let o(l) = -l + 7. Let i be o(7). Let q be (0 + -1)*(-1 - -1). Suppose -13 = -s - 3*j, q = 3*j - i + 9. Is 11 a factor of s?
True
Let z(v) = -5*v - 2. Let d be 4/3*(-3)/2. Does 4 divide z(d)?
True
Does 15 divide (2/(-2) - -3) + 28?
True
Let t = 4 - -2. Let r be t/1*(9 + 1). Does 5 divide (r/9)/(6/9)?
True
Suppose -1200 = -5*o - 20. Is 51 a factor of o?
False
Let c(v) be the first derivative of v**2 + 2*v + 3. Let y be c(-7). Let z = y - -17. Is z a multiple of 5?
True
Suppose l - 6*l - 20 = 0. Let m(q) = -q - 4. Let g be m(-5). Let t = g - l. Is t a multiple of 5?
True
Let j(r) = 5*r + 1. Let d be j(3). Let m = 4 + d. Is 8 a factor of m?
False
Let z(v) = -2*v - 8. Let f be z(-6). Suppose 0 = -x - 4*y + 75, f*x + 4*y - 231 = 45. Is 20 a factor of x?
False
Let v(f) = f + 1. Let n be v(-3). Let c = -25 - -23. Does 5 divide ((-4)/n)/(c/(-13))?
False
Let y(w) = w + 3. Let u be y(-3). Suppose -2*b - 3*b = 4*c + 20, u = 2*c + 5*b + 20. Suppose c = -p + 14 - 6. Is p a multiple of 4?
True
Suppose -93 = -p + 51. Does 27 divide p?
False
Let d(u) = -21*u**3 - 6*u**2 - 11*u + 16. Let p(x) = 4*x**3 + x**2 + 2*x - 3. Let g(s) = -2*d(s) - 11*p(s). Is g(-2) a multiple of 7?
True
Let h be 12/(-10)*35/(-14). Suppose -86 = -b - 4*n - 29, 0 = h*b - 4*n - 171. Does 23 divide b?
False
Let q be (4/(-5) - 0)*-5. Let a be 16/6 - q/6. Suppose 0 = 4*c + 5*t - 93, -5*c - 3*t + 111 = -a*t. Is c a multiple of 15?
False
Let w be (1*-1)/((-9)/9). Suppose -5*y + 9 = -w, -3*h + 2*y + 56 = 0. Does 10 divide h?
True
Let y = 12 + -6. Suppose -2*a + 0*a + y = 0. Suppose 0 = -a*s - 2*c + 29, 0*s - 4*c - 23 = -3*s. Does 4 divide s?
False
Let p(f) = f**3 - 7*f**2 + 3*f - 1. Let m be p(9). Let l = m - 124. Does 22 divide l?
False
Suppose 76 = s + 4*z - 55, -5*z = 5*s - 610. Suppose s - 9 = 5*l. Is l a multiple of 8?
False
Suppose 5 = 3*t - 1. Suppose -q = 0, -t*k + q + 3*q + 6 = 0. Is k a multiple of 3?
True
Let j = -5 + 9. Let a(z) = 3*z**2 - 3*z - 2. Let f be a(3). Suppose -u - j = -f. Is 9 a factor of u?
False
Let c = 238 + -147. Is c a multiple of 13?
True
Let g(x) = -44*x - 8. Does 9 divide g(-2)?
False
Let p(v) = v**3 - 4*v**2 + 5. Is p(4) a multiple of 3?
False
Suppose 0 = -z + 3*k + 12, 5*k + 20 = -0*k. Suppose 0 = -3*t - 4*m + 69, t - 4*m - 56 + 17 = z. Does 7 divide t?
False
Let c = 6 - -6. Suppose c = -3*i + 81. Is 7 a factor of i?
False
Let r(q) = q**3 + 6*q**2 - 9*q + 4. Is 9 a factor of r(-7)?
True
Suppose -1 = 5*u - 16. Let z be (4/u)/(2/234). Does 11 divide 4/10 + z/10?
False
Let h(d) = 35*d**3 - d**2 + d - 1. Suppose k - 3 = -4. Let c = k + 2. Is 12 a factor of h(c)?
False
Let l be ((-44)/(-10))/(1/10). Let a = l - 26. Is 15 a factor of a?
False
Suppose -3*u - 2120 = 2*u. Is 2/9 - u/36 a multiple of 4?
True
Let r = 18 - 10. Suppose -76 = -i - r. Suppose 0 = 4*p - w - 0*w - 136, 5*w - i = -2*p. Does 15 divide p?
False
Suppose 40 = -0*k + 5*k. Suppose 2*x - 20 = -5*y - k, -5*y - x = -16. Suppose -y*h - 120 = -9*h. Is h a multiple of 12?
True
Let v(x) = x**3 - 12 + 11*x**2 - x + 3*x**2 - 5*x**2. Let d be v(-9). Does 6 divide (-2)/d - 290/(-15)?
False
Let b = -59 - -107. Does 20 divide b?
False
Let j(i) = 3*i**3 - 3*i**2 - 2*i + 1. Let z be (6/(-10))/((-1)/5). Let b be j(z). Suppose 0 = 4*f - b - 71. Is f a multiple of 15?
True
Let p be (-2)/(12/9)*-2. Suppose 46 = -2*w + p*w - 2*f, -4*w + 188 = -4*f. Is w a multiple of 8?
True
Let v be (-169)/26*(-1 + 3). Let h be ((-150)/(-8))/5*-12. Let r = v - h. Is r a multiple of 8?
True
Let n = 7 + -7. Suppose 0 = w - 4, 3*a + n*w - 120 = -3*w. Is 12 a factor of a?
True
Suppose -p = 5*i - 21, 3*i - 14 = -4*p + 2*p. Let n be 1/(-6) + 3/((-126)/(-1015)). Suppose -t - n = -i*t. Does 4 divide t?
True
Let x = -8 - -6. Let a = 2 + x. Suppose -5*d = j - 4*d - 41, a = -5*j + 4*d + 160. Is 14 a factor of j?
False
Suppose -5*y - 26 = -y - 5*d, 0 = y - d + 7. Let r = 28 - 63. Let u = y - r. Is u a multiple of 13?
True
Suppose -3*g = 3*t - 15 + 3, 4*g - 16 = -t. Suppose 3*b - 4*n + 72 = 0, t*b = -b + 4*n - 24. Is (-16)/b + (-73)/(-3) a multiple of 7?
False
Let a be (-60)/(-14) - 2/7. Suppose -5*l + a*l = -12. Let r = -6 + l. Is r a multiple of 5?
False
Let v(d) = 44*d**3 + d + 1. Let m be v(-1). Let b = m - -104. Does 12 divide b?
True
Let q(h) = -h**3 - 6*h**2 + 5. Let b be q(-6). Let y(f) = 11*f - 12. Does 15 divide y(b)?
False
Suppose -4*u + 3*t = 6 + 5, -5*u - 5*t = 40. Suppose -p - 3*m + 3 = 0, 62 = -5*p + 3*m + 5. Let k = u - p. Is k a multiple of 3?
False
Suppose -w - 2*h + 0*h = -2, 3*w - 4*h - 16 = 0. Suppose t + 4*t = -b + 2, -w = -2*b - 3*t. Suppose -b*f + 10 = -f. Is 8 a factor of f?
False
Suppose 2*n - 3*n + 24 = 0. Is n a multiple of 8?
True
Let o = -14 + 36. Is 22 a factor of o?
True
Suppose -3*w - 4 = -25. Suppose w*k = 3*k - 24. Let h(z) = -2*z - 1. Does 11 divide h(k)?
True
Suppose -4*i = -0*i + 4. Is 11 a factor of 1 - i - 180/(-9)?
True
Suppose -q + 321 = -4*q. Suppose -156 = -2*p + p. Let i = p + q. Is 18 a factor of i?
False
Let o be 0/2 + (-15)/(-3). Let c = o - 4. Does 7 divide 95/5 + (0 - c)?
False
Let m(k) = -k**2 + 22. Let p be m(0). Let t = 63 - p. Is 15 a factor of t?
False
Let z = -20 + 49. Does 11 divide z?
False
Let w = -33 - -48. Suppose -4*t = -t + w. Is ((-6)/8)/(t/100) a multiple of 7?
False
Let x(l) = -l**3 + 7*l**2 + 7*l + 11. Let q be x(8). Suppose 0 = q*b - 28 - 8. Is 4 a factor of b?
True
Suppose 5*v - 31 - 56 = -2*p, -64 = -4*v - 3*p. Suppose 11 - 3 = 4*c. Suppose v + 11 = c*s. Is s a multiple of 15?
True
Let w(b) = -b + 3. Let p be w(2). Let s(k) be the second derivative of 35*k**4/12 + k. Does 12 divide s(p)?
False
Let q be 12/(-5) - 2/(-5). Let h = 1 - q. Suppose 0 = m + h*d - 48, 3*m + 168 = 7*m + 4*d. Is 13 a factor of m?
True
Let t(a) = -5*a**3 - 1. Let p be t(-1). Suppose -p*k = -5*o - 8, -3*k - o - 2 = -4*k. Does 2 divide 0 + k/2 + 1?
True
Suppose 0*y = -3*y + 18. Is 10 a factor of -1*39/y*-4?
False
Let p = 15 - 12. Suppose p*t + u = 6*u + 60, -4*t = 3*u - 80. Does 10 divide t?
True
Suppose -2*g + a = g - 4, -4*a + 18 = 5*g. Suppose -g*n = -n - 30. Does 1