rue
Let o be ((-6)/(-5))/((-6)/20). Let p = o + 6. Does 2 divide p?
True
Let b(s) = 4*s**2 + s - 22. Does 15 divide b(-7)?
False
Let a(r) = 0 + 0 + 2 + 12*r + 3*r. Is 11 a factor of a(2)?
False
Suppose -2*w + 185 = 2*t + 3*w, 65 = t - 3*w. Suppose -5*o = -3*o, 2*k - t = 5*o. Does 12 divide k?
False
Let c be 18*3*2/9. Let f be 294/(-10) + c/30. Let h = f + 44. Is 15 a factor of h?
True
Suppose 0 = 3*n - 2*p - 33, 0 = -2*p - 4 - 2. Is 9 a factor of n?
True
Let o(q) be the first derivative of q**5/20 - q**4/6 + 3*q**2/2 - 2*q + 2. Let c(d) be the first derivative of o(d). Is 12 a factor of c(3)?
True
Let h(u) = -18*u - 2. Let l be h(-2). Suppose r - l = -r. Is 17 a factor of r?
True
Let r = -38 + 41. Let v(w) = -5 + 11*w + 1 + 3. Is v(r) a multiple of 11?
False
Let i(x) = x**2 - 6*x + 1. Let v be -4*(21/(-12) - 0). Is i(v) a multiple of 4?
True
Let a = -14 - -89. Does 42 divide a?
False
Suppose 0 = -2*r - 0*r - z - 14, -5*r = 4*z + 38. Let w be 1/(-3) + (-290)/r. Suppose 4*t - 3*x = w, t = -0*t - 5*x + 35. Does 10 divide t?
False
Let v be (-2 - 24/(-15))*5. Is v/5*(-70)/2 a multiple of 7?
True
Let r be (3 + 63/(-12))*8. Let s = r - -51. Does 11 divide s?
True
Suppose y + 3*y = -4. Let n(u) be the second derivative of -17*u**5/10 + u**3/6 + u**2/2 - u. Is n(y) a multiple of 12?
False
Suppose -6*k + 111 = -3*k. Does 28 divide k?
False
Let w(v) = v**2 + 2*v. Let p be w(-3). Let f(z) = 0*z - z**2 + 8*z - 2 - 3*z. Is f(p) a multiple of 4?
True
Let y(j) = -4*j + 8. Let v be y(4). Let f = 34 + v. Does 13 divide f?
True
Suppose 4*r + 5*q + 0*q = 96, -2*r - 5*q = -58. Is 8 a factor of r?
False
Let t be -1 - 1 - 1*-3. Does 3 divide 5 - t - (-1)/(-1)?
True
Let f(p) be the second derivative of p**4/6 - 3*p**3/2 - 3*p**2/2 - 2*p. Let v be f(-7). Suppose r + 2*r + 31 = x, 0 = 3*x + 4*r - v. Does 23 divide x?
True
Let n be (64/5)/((-4)/(-30)). Suppose 8*c - n = 4*c. Is 9 a factor of c?
False
Let q(d) = -d**2 - 5*d + 2. Does 5 divide q(-4)?
False
Suppose -5*u + 116 = -4*r + 5, 79 = 5*u + 4*r. Let f = 65 - u. Is 16 a factor of f?
False
Suppose -2*f + 64 = 5*n - 0*f, -2*n + 2*f = -20. Does 6 divide n?
True
Suppose f = -3*r + 54 + 41, 3*f - 295 = r. Is f a multiple of 26?
False
Let i = 45 - 21. Let t = i - -4. Does 13 divide 256/14 - 8/t?
False
Let v = 36 + -26. Suppose -8*n = -3*n - v. Suppose -3*w = -2*y + n*w + 9, 3*y + 3*w = 45. Does 12 divide y?
True
Suppose -3*p + 2 = -2*k - 0, 4*p - 8 = 0. Suppose 0 = -k*x - 0*x + 84. Let g = x - 29. Is g a multiple of 13?
True
Let q = -15 + 2. Let k = 4 + q. Is (k/18)/(1/(-8)) a multiple of 2?
True
Suppose 2*o - 571 = -2*o - 3*k, 5*k + 740 = 5*o. Does 32 divide o?
False
Let p be -1 - -2 - (5 - 9). Let l = -2 - -6. Suppose 4*v - 36 = l*w, -9 = v + p*w + 12. Is 4 a factor of v?
True
Let j(x) = x**3 - 11*x**2 + x - 6. Let t be j(11). Suppose 35 + 10 = t*n. Is 9 a factor of n?
True
Let b(m) = -8*m + 12. Does 13 divide b(-5)?
True
Let p be (-2)/(-5) + 972/45. Suppose 2*n - 20 = p. Does 7 divide n?
True
Let t = -4 + 85. Is 26 a factor of t?
False
Let h(c) = 4*c - 6. Let s be h(7). Is 4/s + (-20)/(-11) a multiple of 2?
True
Suppose -3*z + 4*z - 3 = 0. Suppose 3*w - 10 = -2*w + 2*y, 0 = w - z*y + 11. Suppose -3*p - 10 = s - 45, -w*p + s = -49. Is 6 a factor of p?
True
Suppose -2*w = -7 - 3. Let n = -4 + w. Let s(a) = 19*a**3 - a**2 + 2*a - 1. Is s(n) a multiple of 16?
False
Let o be (-5 - -2)*1/3. Let b = 7 + o. Suppose -b*a + 3*a + 12 = 0. Does 4 divide a?
True
Let x(i) = -3*i + 6. Suppose 2*g - 7 = 3*j - 4*j, 5*g + j = 22. Let l = -10 + g. Is 21 a factor of x(l)?
True
Suppose -o = -2*o - a + 144, -2*o - 5*a + 279 = 0. Is 7 a factor of o?
True
Let z(v) be the third derivative of v**5/15 + 5*v**4/24 - v**3/3 + v**2. Is z(-4) a multiple of 21?
True
Let r = 55 + -30. Does 25 divide r?
True
Let v = -78 + 119. Is v a multiple of 6?
False
Is 4/(-6)*147/(-2) a multiple of 26?
False
Suppose -3*q = -2*h + 4, -q - 28 = -h - 6*q. Let i be (3*-1)/(-9)*27. Suppose 0 = x + 2*t - h, -23 = -3*x + 4*t - i*t. Is x a multiple of 6?
True
Let o = -5 + 8. Let d be 165/(-9)*o*-1. Let i = d + -27. Is 21 a factor of i?
False
Let i be (-3)/(-3 + 0)*-12. Let u be (-17)/(-3) - (-8)/i. Suppose 0 = 5*w - a - 91, -u*w - 4*a + a = -87. Is w a multiple of 9?
True
Let g(l) = l**2 - 6*l - 4. Let p be g(7). Suppose 0*d + 12 = p*d. Suppose d*j - 3*w + 0*w = 55, 5*w - 95 = -5*j. Is 11 a factor of j?
False
Let l be 1*(-1 + 13 + -1). Suppose l*m - 90 = 6*m. Is m a multiple of 9?
True
Let y(s) = s**3 - 7*s**2 + 8*s - 4. Let u be y(6). Suppose 2*g - 6 = u*a - 4*a, 0 = a + 3*g + 5. Is 1/2 + (-21)/a a multiple of 11?
True
Let t = -4 - -4. Suppose 5*z - 3*s - 1 - 20 = t, 0 = -4*z + 5*s + 9. Is z a multiple of 2?
True
Let p(j) = 2*j**2 + 2*j**2 - 5*j - 2*j**2 + 5. Let k be (-2 + 1)/(1/(-5)). Does 12 divide p(k)?
False
Let x = 9 - -12. Does 7 divide x?
True
Suppose -2*p = -3*p. Let y = 11 - 7. Suppose 2*t - y = 0, p = -3*o + 3*t - 4*t + 47. Is o a multiple of 8?
False
Let a(i) = 2*i**3 + 3*i**2 + 2*i - 7. Does 7 divide a(2)?
False
Suppose -39*w + 44*w = 250. Does 25 divide w?
True
Let w(v) = 2*v**2 - 2*v - 33. Does 54 divide w(11)?
False
Suppose 3*r = 4*f + 180, -2*f + 39 = 2*r - 67. Let t = r + -39. Is 6 a factor of t?
False
Let a(y) = y**2 - y + 4. Let o be a(0). Suppose -2*x - o*r - 4 = -7*x, r = -5*x + 24. Does 2 divide x?
True
Suppose 0 = l + 4*l + 2*x - 30, 30 = 5*l + 4*x. Let g be (-8)/(-6) - l/(-9). Suppose 0 = -2*b - g*o + 50 - 8, -4*b + 2*o = -54. Is b a multiple of 8?
True
Let y(x) = -2*x**2 - 27*x - 8. Is 2 a factor of y(-13)?
False
Let t(r) = -r**3 - 9*r**2 - 3*r + 9. Is t(-9) a multiple of 12?
True
Suppose -3 + 9 = -l. Let x = -3 - l. Suppose -x*a - 12 = -4*a. Does 12 divide a?
True
Let h(m) = -m**3 - 3*m**2 - 2*m + 6. Is h(-6) a multiple of 18?
True
Suppose 12 = j + d, -15 = -3*j + 4*d - 0. Let k(l) = l**2 - 7*l - 1. Does 7 divide k(j)?
False
Let p be ((-114)/4)/((-5)/50). Suppose -2*w + p = 3*w. Is 19 a factor of w?
True
Is ((-4)/(-2))/(5/20) a multiple of 3?
False
Let r(x) be the first derivative of -x**4/4 - x**3 - x**2/2 + x - 2. Let m be r(-2). Is 2*m*(1 - 2) a multiple of 2?
True
Let x be -2 - (-1 - -315)/2. Let d = x - -238. Let u = d + -10. Does 23 divide u?
True
Let n = 52 - 30. Suppose -n*l - 243 = -25*l. Is 25 a factor of l?
False
Let q(o) = 3*o**2 + 4*o - 4. Let p be q(-5). Suppose -t - 2*t - 85 = 5*n, 4*t - p = 3*n. Let k = n + 29. Does 6 divide k?
True
Let w(x) = 44*x - 1. Let q(r) = r + 1. Let u(p) = -3*q(p) - w(p). Does 15 divide u(-1)?
True
Let u(h) = h**3 - 6*h**2 + 9*h - 18. Is u(8) a multiple of 14?
True
Suppose -2*s + 0 = 2. Let y be (-9)/(-9)*(-2)/s. Is (-7)/(1/1 - y) a multiple of 2?
False
Let n(q) = -q - 4. Let k be n(-4). Let o(j) = j**3 - j + 5. Let b be o(k). Suppose 0 = -b*x + 2*x + 51. Does 17 divide x?
True
Let i(l) = -54*l - 1. Let c = -6 + 7. Let f be i(c). Let s = -20 - f. Does 18 divide s?
False
Let w = 2 + 9. Does 11 divide w?
True
Suppose -12 = -x - x. Suppose 4 = -c + x. Does 13 divide (c/5)/(2/130)?
True
Suppose -5*m + 5*o = -5, 5*m + o = -11 + 28. Suppose m*y + y = 3*t - 10, 0 = -2*t - 4*y. Let u = t - -9. Is 11 a factor of u?
True
Let y be (1/(-2))/((-2)/8). Suppose -2*u - u = -x - 13, u - 4*x - 19 = 0. Suppose -4*g + w = -60, g + y*w - 48 = -u*g. Does 6 divide g?
False
Let h(p) be the third derivative of -p**6/360 - 7*p**5/120 + p**4/12 - p**3/2 - 2*p**2. Let l(c) be the first derivative of h(c). Does 3 divide l(-6)?
False
Let r(k) = -3 - 1 + 11*k - 5*k. Is 5 a factor of r(3)?
False
Is 3 a factor of (-25 + 1)*(-4)/8?
True
Suppose n = -2 + 1. Let g(q) = -13*q + 1. Does 6 divide g(n)?
False
Let y(c) = -5*c - 1. Let s be y(-6). Suppose -s = -2*j + 23. Is 8 a factor of j?
False
Suppose 7 + 17 = 2*z. Suppose -3*o + z = -0*o. Is 3 a factor of o?
False
Does 9 divide (162/(-45))/((-1)/5)?
True
Let h be 3/((-3)/2 + 0). Suppose 0*v - 26 = 5*v + c, 2*v = 4*c - 6. Is 8 a factor of (h/v)/(1/40)?
True
Let k(u) = u**2 - 3*u + 1. Let s be k(4). Suppose -s*j - 46 = -166. Is 24 a factor of j?
True
Let f(v) = v**3 - 10*v**2 + 8*v + 5. Let w be f(9). Let g be w/14 + (-148)/(-28). Suppose o = 5*o + z - 59, -3*o + g*z = -27. Is o a multiple of 7?
True
Let g(s) = s + 4. Let y be g(-2). Suppose 3*d - y*b + 26 - 138 = 0, d + b - 34 = 0. Is d