lse
Let l be (2/(-4))/(2/(-12)). Suppose 2*n + 3*s - 444 = 0, 3*n - n + 2*s - 440 = 0. Suppose j + l*j = n. Does 18 divide j?
True
Let b(o) = -29*o + 1. Let l be b(3). Let k be l/(-18) - (-12)/54. Let s(r) = r + 1. Is s(k) a multiple of 4?
False
Let o = -72 - -101. Let s = 51 - o. Is 6 a factor of s?
False
Let p = 1457 + -217. Is p a multiple of 62?
True
Let u = 63 - -33. Suppose -32 = -f + 3*l, u = 3*f - l + 3*l. Is f a multiple of 19?
False
Suppose 0 = -1307*a + 1294*a + 39871. Is 73 a factor of a?
False
Let l(j) = -j**3 + j**2 + 17. Let b be l(0). Let k be b + -2 + -1 + 2. Let d = 8 + k. Does 8 divide d?
True
Let g(q) be the first derivative of q**4/4 - 5*q**3/3 + 5*q**2/2 - 10*q + 5. Let i be g(5). Suppose i*j + 84 = 19*j. Does 17 divide j?
False
Suppose 5*q + b = 15, b = -5*q - b + 15. Suppose -l = l - q*c - 188, c = -4. Is l a multiple of 22?
True
Let s(v) = v**2 + 2*v. Let t be s(-2). Suppose t = -2*k - 7 + 13. Suppose -97 = -k*d + 59. Does 17 divide d?
False
Suppose 5*b + 404 = 4*v, -3*b = 3*v - b - 280. Let k = v - -85. Does 17 divide k?
False
Let r be (-1)/(2 + (-81)/39). Suppose 0*q + 4*q - 32 = -4*d, 2*d = q - 5. Let w = r - q. Is 6 a factor of w?
True
Suppose 61*s + 616 = 65*s. Does 6 divide s?
False
Let z = 43 + -31. Let r be (z/10)/((-2)/250). Let s = -105 - r. Is 9 a factor of s?
True
Let x = -34 - -666. Is x a multiple of 79?
True
Let z = -68 - -73. Suppose z*l + 6*l = 440. Does 13 divide l?
False
Let g(d) = -d**3 - 4*d**2 + 4*d + 1. Let o be g(-4). Does 18 divide 1386/15 + (-9)/o?
False
Let j(x) = 32 - 3*x - 31 + 11*x**3 + 6*x**2 - 5*x**2. Let g be j(2). Suppose 11*v - 8*v = g. Does 7 divide v?
False
Suppose 2*d = -97 + 59. Let q = d - -129. Is 7 a factor of q?
False
Let x(b) be the first derivative of -b**3/3 + 4*b**2 - b - 7. Let c be x(6). Suppose 4*w = -c + 71. Is w a multiple of 15?
True
Let a(m) = -m**2 + 6*m + 2. Let d be a(6). Suppose -d*r - 33 = -5*r. Let y = 29 - r. Is 9 a factor of y?
True
Is 0 + 78 - (3 + -11 - -7) a multiple of 41?
False
Suppose -8 = -7*m + 6. Suppose 2*g - 5*s - 336 = 0, -2*g = -m*s - 238 - 98. Is g a multiple of 24?
True
Suppose -a = 4*a + 40. Is 13 a factor of (-3)/4*(a - 8)*5?
False
Let x be -6*13/(-2)*-2. Let k = x - -176. Is 20 a factor of k?
False
Let p = 16 + -11. Does 16 divide ((-32)/6)/(p/(-15))?
True
Suppose -2*b = -4*b, z + 3*b + 1 = 0. Let t(p) = 33*p. Let q be t(z). Let r = q - -73. Does 20 divide r?
True
Let w(f) = 6*f**3 - 19*f**2 - 23*f + 23. Let g(c) = -c**3 + c**2 + c - 1. Let p(o) = -5*g(o) - w(o). Let b = 62 + -47. Does 7 divide p(b)?
False
Suppose 3*l - 1494 = 5*x - 4295, 2*x + 2*l = 1114. Is x a multiple of 23?
False
Let i = 30 - 16. Let f(u) = 16*u + 53. Does 41 divide f(i)?
False
Suppose 5*b - 615 = -5*n, -6*b = -2*n - 3*b + 231. Suppose -3*r = r - n. Suppose -4*f + 0*f = -5*v - 150, 0 = f - 5*v - r. Is 20 a factor of f?
True
Suppose -49*m - 115 = -9719. Is 2 a factor of m?
True
Let q(d) = -d**3 - 4*d**2 + 6*d - 3. Let m be q(-5). Let r(t) = t**2 + 3*t - 5. Let s be r(-6). Let f = m + s. Is f a multiple of 5?
True
Let t(d) = d**3 - 10*d**2 - 2*d - 13. Let m be t(10). Is 57 a factor of 996/9 - -2 - 44/m?
True
Let c = -50 + 34. Let r be -60*(14/10 + -1). Let t = c - r. Is 4 a factor of t?
True
Suppose -6*y = 3*l - 4*y - 823, 5*l = 4*y + 1379. Suppose -3*o - 5*h = -0*h - 411, -2*o = 3*h - l. Does 32 divide (o - 1) + (6 - 4)?
False
Let w = -21 + -47. Does 28 divide -3 - -1*(-18)/(-3) - w?
False
Let g = -465 - -665. Does 3 divide g?
False
Let d(g) = g**3 - 8*g**2 + 17*g - 23. Let k be d(6). Let v(c) = -3 + 5*c - 3*c**2 - 4*c**2 + 4*c + c**3. Does 15 divide v(k)?
True
Suppose 16*t - 6*t - 1380 = 0. Is 23 a factor of t?
True
Suppose -12*a = -8*a - 8. Suppose 15*n - 14*n + s = 45, 162 = 4*n - a*s. Is n a multiple of 7?
True
Let y = 77 - -195. Is y a multiple of 18?
False
Let k(g) be the first derivative of g**5/20 - 2*g**4/3 + g**3/6 + 4*g**2 - g - 5. Let w(o) be the first derivative of k(o). Is 4 a factor of w(8)?
True
Let f be (-1 - 0)*(7 + -10). Suppose 4 = 2*t, 4*u + t - 140 = f*t. Is u a multiple of 20?
False
Suppose 4*p = 11 + 1. Let x = 11 + -7. Suppose 0 = -p*m + 3*l + 22 - x, 2*m = -5*l + 40. Does 5 divide m?
True
Suppose 4*r = z + 404, 4*r + 6*z - 2*z - 384 = 0. Is r a multiple of 2?
True
Suppose 2328 - 1572 = 3*i. Is 9 a factor of i?
True
Let t(g) = -97*g + 136. Does 16 divide t(-8)?
True
Let y = -14 - -22. Let r = y - 4. Suppose -56 = -j - r*h, 3*j + 0*h - 141 = -3*h. Is 11 a factor of j?
True
Let d(x) = x**3 - 6*x**2 + x + 2. Suppose -29 = -f - 5*s, -f + 9 + 5 = 2*s. Suppose -2 = -h + f. Is 3 a factor of d(h)?
False
Suppose 2*x + x = 6. Let a be (4/(-14))/(x/(-14)). Suppose -5*o + s + 74 = a*s, -2*o + 5*s = -8. Is 11 a factor of o?
False
Let w = -1346 - -1775. Does 24 divide w?
False
Is 4 a factor of ((-1)/(-2))/((-63)/(-9072))?
True
Suppose -480 + 102 = -14*m. Is m a multiple of 27?
True
Suppose -7 = a + 5. Let o be 0 - (-104 - a/(-3)). Suppose 0*n - 2*n = -o. Does 9 divide n?
True
Let u(p) = -5*p - 45. Let s be u(-13). Is s - 0 - (10 - 6) a multiple of 4?
True
Suppose 5*p + 2*p - 189 = 0. Is 9 a factor of p/5*(-12 - -22)?
True
Let r(q) = -3*q**3 - 12*q**2 + 7*q - 5. Is 9 a factor of r(-7)?
True
Suppose 30*g + 1022 = 9662. Is g a multiple of 48?
True
Let g(w) = w - 12. Let l be g(11). Is 5 a factor of l/(-4) + 385/44?
False
Suppose 2*k - y + 2*y - 53 = 0, -56 = -2*k - 2*y. Suppose 4*w - k = -4*o + 3, 0 = 4*o - 20. Suppose 5*v - 3*z = 40, -v - w*z + 16 = v. Is 8 a factor of v?
True
Let y(q) = 3*q**3 - q**2 - 34*q - 4. Does 46 divide y(8)?
True
Let j(v) = 19*v**2 - 10*v - 9. Is j(5) a multiple of 20?
False
Let i = 16 - 20. Let y(w) = w + 9. Let v be y(i). Suppose 0 = v*f - 165 + 25. Is 7 a factor of f?
True
Suppose 0 = -25*h + 10*h + 450. Does 10 divide h?
True
Let u = 107 + -128. Let j(m) = m**2 + 10*m + 5. Let k be j(-6). Let l = k - u. Is 2 a factor of l?
True
Let n = 148 - -428. Is 16 a factor of n?
True
Suppose -23*a = -15*a - 1608. Is 3 a factor of a?
True
Let a = 160 - -3940. Is 41 a factor of a?
True
Let p = 5 - 3. Let d be (-15 - -16) + 3/6*-2. Suppose -4*q = p*k - 118 + 14, d = -k. Is 6 a factor of q?
False
Is 17 a factor of ((-68)/6)/(56/(-924))?
True
Let t(v) = -v**3 + v**2 + v + 2. Let j be t(0). Suppose -2*o + 2 = -8. Suppose -w - 44 = -j*w - 3*g, -174 = -3*w + o*g. Is w a multiple of 16?
False
Suppose -d = 2*d + 24. Let m = 10 + d. Suppose -m*l = 13 - 77. Is l a multiple of 16?
True
Suppose 2*k + 3*k = 2*s - 24, 0 = k + 4. Suppose s = -j + 4. Suppose -j*i + 180 = 42. Is i a multiple of 17?
False
Let n(f) be the second derivative of -f**4/12 - 11*f**3/6 + 15*f**2/2 - 39*f. Let k be (-1 - -3) + 1 + -14. Is n(k) a multiple of 5?
True
Let n(o) = -2*o**3 - 16*o**2 + 13*o + 15. Suppose 4*v + 26 = -10. Does 12 divide n(v)?
True
Let c(x) = -x**3 + 15*x**2 - 5*x - 6. Does 5 divide c(14)?
True
Is 4 a factor of ((-2061)/6)/(1/(-2))?
False
Let v = -236 - -509. Let y = -153 + v. Suppose z = -5*z + y. Is 14 a factor of z?
False
Does 8 divide (-3 - (-22)/6 - -7)*78?
False
Let n be 2*(-4 - -5) - -18. Let v = n - 23. Is 14 a factor of 39*(5 - (-12)/v)?
False
Let p(s) = 8 + 1 + s**3 - 3 + 10*s**2 + 4*s. Let c be p(-5). Suppose 0 = -5*f - 3*u + 249, f + 5*u - c = -f. Does 7 divide f?
False
Let z = -143 - -140. Let i(p) = -12*p**3 - 2*p**2 + p + 2. Does 17 divide i(z)?
False
Suppose 5*h = 5*o - 320, 2*h + 3*o = 2*o - 137. Let a = -14 - h. Let b = -6 + a. Is 36 a factor of b?
False
Let g(y) = 3*y**2 + 22*y + 15. Is 2 a factor of g(-8)?
False
Let t(l) = -10*l**3 - 2*l - 1. Suppose u + 12 = -x + 4*x, 0 = -4*x - 4*u. Suppose -5*r = -8*r - x. Does 11 divide t(r)?
True
Let j be 5/5 + 0 - -212. Suppose -3*g = -615 - j. Is g a multiple of 69?
True
Let v(m) = 7*m - 11. Let o be v(12). Suppose -4*a + o + 59 = 0. Is a a multiple of 6?
False
Let o be 1*2*1/(-2)*1. Is 31 a factor of (3/(-6))/(o/108)?
False
Let j(c) = 3*c + 3. Let x be j(2). Let n be 392/21 - 4/6. Let w = n - x. Is 9 a factor of w?
True
Let h(s) = -s**2 - 27*s - 67. Is h(-19) a multiple of 4?
False
Let o = -290 - -612. Does 46 divide o?
True
Let l = -102 - -306. Is 16 a factor of l?
False
Suppose 4*a = 5*s - 0*a + 1076, -s = -a + 216. Let t = s - -538. Suppose -t = -5*d - 71. Is d a multiple of 14?
False
Let t(x) 