= -u**3 + u**2 + 8*u - 2. Does 23 divide l(-4)?
True
Suppose -o + 12 = h - 6, 0 = 3*h + 9. Is 7 a factor of o?
True
Let f be (-2)/(-4) + (-5)/(-2). Suppose -15 = -q - 2*a + 19, f*q = -2*a + 114. Does 20 divide q?
True
Let m = 52 - 18. Suppose -m = -5*h + 86. Is h a multiple of 12?
True
Let c = 101 - 169. Let t = c + 128. Is 16 a factor of t?
False
Suppose m - 12 = -3*n + 4*m, -3*m + 3 = 0. Is n a multiple of 5?
True
Let v(p) = -p**3 + 11*p**2 - 10*p + 9. Let s be v(10). Suppose -3*x - 41 + s = -4*r, -3*x - 2 = 2*r. Does 5 divide r?
True
Suppose 4*q - 12 = -5*p, -2*q = q + 2*p - 9. Suppose q*u - 2*u - 19 = 0. Is u a multiple of 5?
False
Suppose 0 = -2*u - 0*u + 10. Suppose 0 = -u*t - 0*t + 120. Is 24 a factor of t?
True
Does 11 divide (-3 + (-10)/(-4))*-44?
True
Let x(z) be the second derivative of z**4/6 + z**3/2 + 3*z**2/2 - 3*z. Is x(-3) a multiple of 5?
False
Let f = -16 + 31. Does 15 divide f?
True
Is 1/(-5) + (4968/(-15))/(-6) a multiple of 3?
False
Let a(v) be the third derivative of -v**5/60 - v**3/3 - v**2. Let x be a(-3). Let b = x + 32. Does 11 divide b?
False
Let n = -19 - -27. Let b be 3*-1*(-20)/15. Let g = n - b. Is 2 a factor of g?
True
Suppose -4*p - 3*y + 41 = -28, 0 = 4*p + 2*y - 74. Is 21 a factor of p?
True
Suppose 3 = -4*r - 1. Let m = r + -3. Does 19 divide 9/36 - 151/m?
True
Is ((-1196)/(-39))/((-2)/(-3)) a multiple of 28?
False
Suppose 3*n + 20 = -n - 4*g, -4*g = -5*n - 16. Does 10 divide 8 + (-5)/(10/n)?
True
Let d be 57/(-12) + 1/(-4). Let s be d*(-3)/((-3)/(-1)). Suppose 0 = -s*p + 3*x + 203, -3*p + 2*x - 3*x = -119. Is 17 a factor of p?
False
Let s = -29 - -32. Let t be (-2 - 1)*52/(-6). Suppose -s*w = -t - 13. Is w a multiple of 5?
False
Is (130/(-40))/(((-21)/60)/7) a multiple of 10?
False
Suppose -4*x = -2*i + 66, 3*x = -3*i - 2*x + 110. Is i a multiple of 5?
True
Let a(j) = -j + 10. Let n be a(6). Suppose n*z + 3*f - 17 - 10 = 0, 2*z + 14 = 4*f. Is 2 a factor of z?
False
Suppose 234 = 3*q - 90. Is q a multiple of 36?
True
Suppose -20 + 106 = 2*d. Let o be d - ((2 - 4) + 3). Let f = o + 0. Does 21 divide f?
True
Let m be -2 - (2 - (1 + 8)). Suppose 9 = m*b - 21. Suppose h + 35 = b*h. Does 2 divide h?
False
Suppose 0 = -v - 2*h + 8, 5*v - 5*h = -19 + 59. Let x(r) = 5*r - 4*r + 0 + 8. Does 8 divide x(v)?
True
Suppose -2*q + 9*y = 4*y + 43, 0 = 5*q + 3*y + 30. Is (-363)/q + 1/(-3) a multiple of 13?
False
Let g = -110 - -51. Let a = -36 - g. Is 12 a factor of a?
False
Let l = -151 - -222. Suppose l = 5*s - 239. Does 31 divide s?
True
Suppose 80 = 3*f - u, -3*u + 124 = 4*f - 0*u. Is f a multiple of 6?
False
Is 16 a factor of (-240)/(-18)*6/5?
True
Suppose q - 16 = -2*i, 0*q - 32 = -2*q + 4*i. Does 16 divide q?
True
Let j be 3/6 + 2/(-4). Suppose j = -2*c + 2*k + 6, -2*c - k + 3 = 0. Does 2 divide c?
True
Let c(o) = 10*o**2 - 3*o - 2. Let z(i) be the second derivative of i**3/6 - i**2 - 2*i. Let j be z(0). Is 15 a factor of c(j)?
False
Suppose 2*n + 3*s - 44 = -2*s, -4*n + 88 = 4*s. Does 11 divide n?
True
Let f(j) = 1. Let k(h) = h + 8. Let o(p) = 18*f(p) - 2*k(p). Let g be o(6). Let s = g + 18. Does 8 divide s?
True
Let d(j) = j**3 + 7*j**2 + 4*j - 8. Let m be d(-6). Suppose m*n - 9 = 7. Is 10 a factor of ((-6)/n)/(9/(-60))?
True
Let v(y) = 2*y - 6. Suppose -5*h - 23 = -8. Let g = h - -12. Does 5 divide v(g)?
False
Suppose 5*t = 5*r + 355, 3*t - 3*r = -2*r + 211. Is t a multiple of 14?
True
Let h(p) = 4*p**3 + 2*p**2 - 2*p - 2. Does 28 divide h(2)?
False
Let v(b) = -b**3 + b - 9. Let g be v(0). Let l = g + 15. Suppose -3*f + r - 18 = -l*f, 0 = f - 5*r - 6. Is f a multiple of 3?
True
Let s = 211 - 112. Does 33 divide s?
True
Is (-70)/(-4)*1/((-28)/(-48)) a multiple of 15?
True
Let j(l) = -l**3 - 6*l**2 - 5*l - 4. Let o be j(-4). Let t = 59 + o. Suppose -2*p = -q - 1, t = 5*q + 4*p - 8. Does 7 divide q?
True
Is 8 a factor of 80 - ((-5)/(-5) + 2)?
False
Let z = 8 - 5. Let b(d) = d**2 - 2*d. Let l be b(z). Let x(o) = 4*o + 2. Is x(l) a multiple of 6?
False
Let u(t) = 1. Let p(i) = 7*i + 12. Let a(q) = -p(q) + 4*u(q). Let x be a(-7). Let n = -27 + x. Is 6 a factor of n?
False
Suppose -4*c - 22 = -2*u, 25 = 3*u - 7*c + 3*c. Let i be (-3)/(u/(-6) + -1). Suppose 0 = w - 5, -2*w = -3*q + 21 + i. Does 11 divide q?
True
Suppose -6*b + 3*b + 9 = 0. Let g be 0/(-1 + (-2 - -4)). Suppose -5*r - b*w + 116 = g, -3*r + 5*w + 27 + 29 = 0. Does 22 divide r?
True
Let v = 13 + 209. Let r = v + -82. Suppose r = 5*c + 5*h, -4*h - h - 5 = 0. Is c a multiple of 11?
False
Let u = 55 + -18. Suppose -2*b - 2*p = -b - u, 5*b - 4*p = 115. Is b a multiple of 12?
False
Let v(g) = -15*g**3 + 2*g + 1. Let o = 0 + -2. Let s be 2 - o*3/(-2). Is 7 a factor of v(s)?
True
Let u(s) = -11*s - 2. Let q be ((-20)/(-8))/5*-4. Is 11 a factor of u(q)?
False
Let m(q) = -2*q**2 + 4*q - 17*q**3 + 51*q**3 - 3*q. Is 11 a factor of m(1)?
True
Let n = -2 + 6. Suppose n*a - 60 + 20 = 0. Does 10 divide a?
True
Let y = 207 + -107. Does 25 divide y?
True
Let p(o) = 5*o - 5*o + 5*o - 4 + 11. Is p(5) a multiple of 5?
False
Let c(n) be the second derivative of -n**4/12 + n**3/6 + 17*n**2/2 - 6*n. Let r(b) = -b + 4. Let h be r(4). Is 10 a factor of c(h)?
False
Let i(j) = j**2 - 6*j + 10. Let w be i(7). Let g be -7 - -5 - w*1. Is 4 a factor of g/(-3) - (-2)/(-6)?
False
Let q = -35 - -90. Suppose 3*n - 5*b = q, -5*n + 3*b = 5*b - 133. Does 18 divide n?
False
Suppose 0 = -2*b + b + 4. Suppose -b*l - l = -25. Suppose -21 = 3*t + a - 70, l*t - 76 = 4*a. Is 16 a factor of t?
True
Suppose -34*j = -36*j + 84. Does 7 divide j?
True
Suppose -5*t + 3 = -22. Suppose 0 = 3*a - 5*a, 2*d - t*a + 14 = 0. Let f = 19 - d. Does 26 divide f?
True
Suppose -c = 0, c = 3*n + 3*c - 54. Suppose 3*z - n = -0*z. Does 3 divide z?
True
Suppose -3*r - 48 = -2*c, 5*c + 2*r - 130 = 7*r. Suppose -4*j + c = -126. Is j a multiple of 13?
True
Suppose -3*k - 60 = -6*k. Is 10 a factor of k?
True
Suppose 0 = -26*b + 25*b + 19. Is 11 a factor of b?
False
Let n = -7 - -75. Is 4 a factor of n?
True
Is 0 - (-3 + 2) - (-1 - 98) a multiple of 25?
True
Let c = 458 - 306. Is c a multiple of 10?
False
Let p = -28 + 86. Let f = p - 35. Does 8 divide f?
False
Let q be 1/4 + (-15)/(-20). Suppose n = -0*n - q. Is n/(2/(-67))*2 a multiple of 24?
False
Let z(d) = -d**3 + 9*d**2 - 6*d - 6. Let y be 9 + -4 + (-1 - -4). Is z(y) a multiple of 10?
True
Let l = 9 - 4. Let d be 2/6 - l/15. Suppose -m - 4*t - 5 = 0, 2*m - 3*t - 23 = -d*m. Is 2 a factor of m?
False
Suppose 193 + 67 = g + 2*x, 0 = 5*x + 10. Is 22 a factor of g?
True
Let r be 0/(2 - 1) - -6. Does 12 divide -3 + r - -24 - 3?
True
Let s = -57 + 73. Does 8 divide s?
True
Let b = 26 - 13. Let i = 20 - b. Is i a multiple of 5?
False
Let m be 0 + -15*1 - -1. Let k = 6 + m. Is 7 a factor of (-7)/28 + (-58)/k?
True
Suppose 1230 = 5*x + 3*p - p, -3*x + 737 = p. Is x a multiple of 13?
False
Let b(c) = -10*c**3 - 2*c**2 + 2*c + 6. Is 14 a factor of b(-3)?
True
Suppose w - 67 = 3*o, 3*w + w - o = 268. Let h = -36 + w. Is h a multiple of 7?
False
Suppose -p - 4*t = 33, t + 1 = 6. Let r = p - -114. Does 17 divide r?
False
Let j(f) = f + 23. Let a be j(0). Let l = 39 - a. Does 7 divide l?
False
Let u = -13 + 15. Suppose -a = -4*c + 23, u*c = 4*c + 4*a - 16. Is c a multiple of 4?
False
Suppose t - 2*u - 132 = 0, -3*t - t = 4*u - 492. Is t a multiple of 13?
False
Let h = -3 + 5. Is 23 a factor of (5 - h)/((-6)/(-124))?
False
Let x = 44 + -11. Is x a multiple of 33?
True
Let o(h) = -h**3 + 5*h**2 + 6*h - 2. Let n(m) = -m**3 - 9*m**2. Let y be n(-9). Suppose y = c + 3*b - 17, c - 2*c - 4*b = -21. Is 14 a factor of o(c)?
True
Suppose r = -6*r + 259. Is 37 a factor of r?
True
Suppose 0 = -5*y, 2*p - 4*y - 50 = 34. Suppose -p = 2*n - 4*n. Is 21 a factor of n?
True
Let b = -13 + 22. Let c(f) = -f**3 + 8*f**2 + 11*f + 6. Let u be c(b). Suppose -5*m - 2*y + u = 0, 0*y - y - 14 = -4*m. Is m a multiple of 2?
True
Let g = 69 + -3. Let i = -9 + 9. Suppose k + 2*k - g = i. Does 11 divide k?
True
Let h = -17 + 10. Let w = 2 - h. Is w a multiple of 9?
True
Let f(u) = u**2 - 4*u - 6. Let k be f(6). Let s(y) = 16*y + 8. Let l be s(k). Suppose -5*a = -l - 36. Is a a multiple of 14?
True
Let s(v) = -3*v - 17. Let q be s(-7). Suppose -185 = -q*d - 1. Does 23 divide d?
True
Let r(p) = -p**3 + 9*p**2 + 3*p - 