e
Suppose 3*j + j - 12239 = -3*m, 0 = -4*j - 5*m + 12249. Is 16 a factor of j?
True
Let k(y) be the third derivative of y**5/15 + 11*y**4/24 - 9*y**3/2 - 176*y**2. Is k(-8) a multiple of 6?
False
Let g = -511 + 910. Does 4 divide g?
False
Let a(l) = 5*l - 8. Let j be a(-7). Let y = j + 36. Is 15 a factor of (-523)/y - (-30)/105?
True
Let t(y) = 8*y**2 - 789*y - 85. Is 5 a factor of t(100)?
True
Suppose -9*a + 27834 = 6*a - 13*a. Is 66 a factor of a?
False
Let o = 62 + -90. Let q = -26 - o. Suppose q*a - 432 = -2*n - 3*a, -5*n + 1042 = 3*a. Is 14 a factor of n?
False
Let o(x) = x + 10. Let d be o(-12). Let i be 0 - ((-606)/(-12))/(d/(-4)). Let s = i + 120. Is s a multiple of 12?
False
Suppose -28*z - 32 + 88 = 0. Suppose -465 = -z*v + 21*l - 16*l, 2*v - 2*l = 474. Is v a multiple of 30?
True
Let c be 21*((-27)/21)/(-9). Suppose -g + 385 = -3*d - 199, 3*d = c*g - 1740. Is g a multiple of 7?
False
Is 19 + -2 + (-14739)/(-17) a multiple of 17?
True
Suppose -5*j + 441 = z, 12*j = 7*j + 4*z + 461. Suppose 5*h = 5*o + 1370, -h - o + 148 = -136. Suppose -2*a - j = -h. Is a a multiple of 19?
True
Suppose 0 = -k + 36 - 33. Suppose -g + k*o = -0*g - 423, 5*g = -5*o + 2015. Is g a multiple of 17?
True
Suppose 177*y - 453814 = 580635 + 962111. Does 47 divide y?
True
Let i(b) = 2*b - 22. Let j(a) = -4*a + 43. Let c(n) = -5*i(n) - 2*j(n). Let m be c(8). Is 42 a factor of 6/m - 0 - (-2004)/16?
True
Let d(o) = 5*o**2 - 3*o - 3. Let b be d(-4). Let f(n) = -7*n**2 + 85*n + 13. Let v be f(12). Let l = b - v. Does 29 divide l?
False
Let k be (24 + -20)*(-18)/(-4) - 3. Is (-3 + 129/k)*370/4 a multiple of 86?
False
Let h(c) = -c**3 + 7*c**2 - 4*c - 8. Let b be (45/10)/((-9)/(-12)). Let i be h(b). Suppose 2*y + 0*z - 64 = -2*z, 110 = i*y - 2*z. Does 29 divide y?
True
Let a = 3720 - 3664. Does 32 divide a?
False
Let v be 84*(2/8)/(6/168). Let m = v + -236. Does 16 divide m?
True
Does 28 divide 30/300 - 243873/(-70)?
False
Let r(y) = -10*y - 81. Let q(c) = 5*c + 40. Let b(s) = 7*q(s) + 3*r(s). Let t be b(-7). Suppose -j = t*j - 486. Does 18 divide j?
True
Let f = 12278 + -7380. Is f a multiple of 158?
True
Let p(u) = -14*u**3 - 37*u**2 + 35. Is 63 a factor of p(-7)?
True
Suppose -k + 1 = 0, 2*k - 5 = -q - k. Suppose 5*v + 0*f + q*f - 159 = 0, -3*f + 37 = v. Let b = 89 - v. Is b a multiple of 13?
False
Suppose -5*u = -3*o - 35772, 0 = 4*u + 20*o - 15*o - 28588. Is u a multiple of 9?
False
Is 14 a factor of (1/(-1))/((-47)/296100)?
True
Let j be 4 + ((-18)/42 - 6/(-14)). Suppose 0 = -4*h + 2*a - 4, 0*h - 3*h + 2*a - j = 0. Suppose h = -5*k + 5, 3*o + 14 - 80 = -3*k. Is 7 a factor of o?
True
Let l be (24/(-9))/(-4)*18/4. Suppose -l*p = -3*c - 396, -3*p - 4*c - 152 = -548. Does 3 divide p?
True
Let s(v) = -58*v - 1080. Does 4 divide s(-40)?
True
Suppose 0 = -5*x - 9*x + 3948. Let g = -40 + x. Is 22 a factor of g?
True
Is ((-644634)/(-27))/(82/123) a multiple of 22?
False
Let w = -98 - -104. Is (-4580)/(-135) - w/(-81) a multiple of 6?
False
Let z(l) = -3*l**2 + 7*l - 22. Let f be z(13). Let j = -150 - f. Is 18 a factor of j?
True
Suppose 0 = -72*i + 74*i + 5*z - 23384, -3*i + 35076 = -3*z. Does 37 divide i?
True
Suppose -d + 148*h = 146*h - 4923, -4*d = 4*h - 19764. Is 15 a factor of d?
True
Let k(f) = -f**3 + 4*f**2 - 6*f + 25. Let w be k(4). Is (w - (-95)/(-85)) + 87324/102 a multiple of 16?
False
Suppose 4*n - 2970 = -r, 0*n + n - 751 = 4*r. Suppose 7*o = 55 + n. Does 19 divide o?
True
Let v(x) = 81*x**2 - 4*x - 4. Let s be v(-2). Suppose -1516 + s = -4*t. Is 34 a factor of t?
False
Let x(o) = -77*o + 6431. Is x(67) even?
True
Suppose -20 = 35*s - 39*s. Suppose -s*h + 2*m = 3*m - 440, m = 5*h - 430. Is h a multiple of 18?
False
Let a = -396 + 399. Let d(s) = 172*s + 56. Does 43 divide d(a)?
False
Let k(u) = 2*u**3 - 48*u**2 - 330*u - 75. Is 55 a factor of k(34)?
True
Let u(l) = l**2 - 5*l + 6. Let d be u(3). Suppose d = -293*y + 298*y - 575. Is y a multiple of 4?
False
Suppose 3*z = 3*i - 9570, 151*i - 148*i + 4*z = 9577. Suppose 9*x - i = 346. Is x a multiple of 8?
False
Let l = -83 - -79. Is (-19600)/(-48) - (l/3)/(-4) a multiple of 51?
True
Let t(w) = -2*w**2 + 25*w - 25. Let u be t(11). Let d(p) = -3*p**3 + 4*p**2 + 3*p - 4. Let v be d(-4). Suppose u*n = 12*n - v. Does 30 divide n?
True
Let r be 146*(-20)/(-8) - 5. Suppose 574 = 2*z - j, r = 5*z - 3*j - 1074. Suppose -12*g = -15*g + z. Is 27 a factor of g?
False
Suppose 0 = -45*m - 130*m + 185675. Is m a multiple of 2?
False
Let r(s) = -48*s + 162. Suppose -53 = 9*l + 46. Is 23 a factor of r(l)?
True
Suppose 5*j = -5*y + 3509 + 3871, -y + j = -1478. Is y a multiple of 9?
False
Let k(c) = -4796*c + 718. Does 57 divide k(-1)?
False
Suppose -r + 5039 + 174 = -0*r. Does 13 divide r?
True
Let q(o) = 22*o - 15. Let k be q(6). Let w = k + -115. Suppose s = w*s - 194. Is s a multiple of 16?
False
Let z = 43 + -29. Suppose -14 = -8*b - z. Let h(g) = -g**2 - 2*g + 13. Is h(b) a multiple of 3?
False
Suppose 150 + 3126 = 6*h. Let z = h + -390. Is z a multiple of 26?
True
Is 130/(-40) - -3 - 1018989/(-36) a multiple of 51?
True
Let b(i) = i**3 + 3*i**2 - 20*i - 4. Let g(c) = -2*c**2 - 6*c - 7. Let u be g(-2). Let l be u*5*((-28)/(-12) + -2). Is 27 a factor of b(l)?
False
Suppose 7*f - 2*f - 2*d = -73, 28 = -2*f + 2*d. Let g be f/((-9)/12 - (-3 - -3)). Suppose g*a + 244 = 24*a. Does 9 divide a?
False
Let s(a) = -3*a - 53. Let q(j) = 4*j + 80. Let u(k) = 5*q(k) + 7*s(k). Let x be u(9). Suppose x + 472 = 4*c. Is c a multiple of 21?
False
Suppose 484 = 4*b - 8. Suppose 0 = 11*j - 7*j + 360. Let u = b - j. Is 17 a factor of u?
False
Let w(z) = -z**3 + 8*z**2 + 11. Let a be w(8). Suppose -n = -4*i + a, 3*n - 2*i + 18 = -5*i. Does 10 divide 113/(n/(-21) - 2/(-3))?
False
Let d be (-96)/40 + 2 - 32/(-5). Let s(a) = 3*a - 4. Let l be s(6). Is 14 a factor of (d/3 + 2)*l?
True
Let d(x) = -43297*x**3 + 2*x**2 - 92*x - 95. Is 44 a factor of d(-1)?
True
Let b be (10/(-40))/(9/6)*-12. Suppose -1372 = -2*r - 3*x, b*r - 679 = r - 5*x. Is r a multiple of 20?
False
Let v = 108 + -71. Suppose v = 4*t - 5*p, 7*t - 4*t - 21 = -3*p. Let l = 25 + t. Is l a multiple of 11?
True
Let i = 4585 - 1015. Suppose 14*w + i = 9072. Is 11 a factor of w?
False
Suppose 4*s = n + 1036, -5*s + 5097 = -5*n - 83. Let x = n + 1040. Does 2 divide x?
True
Suppose -5942*j = -5933*j - 15066. Is j a multiple of 93?
True
Let o = -8191 + 11960. Is 5 a factor of o?
False
Let g = 4467 + -2977. Let h = 2242 - g. Does 43 divide h?
False
Suppose -12*j + 45025 = 2785. Is 160 a factor of j?
True
Let v(w) = -13*w**2 + 55*w - 40. Let i(z) = 3*z**2 - 14*z + 10. Let y(j) = -9*i(j) - 2*v(j). Let n be y(14). Let l = 167 - n. Is 16 a factor of l?
False
Let d = 957 - -2803. Does 4 divide d?
True
Let m be 3818/(-14) + 8/(-28). Let o = 377 + m. Is o a multiple of 8?
True
Suppose -66 = 6*z - 0*z. Let n(p) = p**2 + 11*p - 14. Let f be n(z). Let u = f + 26. Is 6 a factor of u?
True
Let s be 0 + 2005/4 - 14/56. Is (-18)/90 - s/(-5) a multiple of 25?
True
Let r(h) = 3982*h - 713. Does 11 divide r(6)?
False
Let h(t) = -77*t**2 - 6*t + 5. Let r be h(-2). Let c = 584 + r. Does 11 divide c?
False
Let c(r) be the second derivative of -r**5/20 - r**4/2 - 5*r**3/3 - 2*r**2 - r. Let k be -2 - (-11)/(-3) - 160/(-240). Is c(k) a multiple of 12?
False
Suppose -5*g + 1585 = -2*k - 5839, -4*g + 5948 = -6*k. Is 12 a factor of g?
False
Suppose 66*t = 61*t - 255. Let s = t + 205. Is s/2*(2 - 0) a multiple of 11?
True
Suppose 5 = -3*g + 14. Suppose -4*f - g = -23. Let d(y) = 2*y**3 - 2*y**2 + 2*y + 5. Is 43 a factor of d(f)?
True
Let t be 4/(-10) + (-6)/(-15). Suppose t = 3*i - 7*i + 3012. Suppose 5*h - i = -4*l, -3*l - 139 = -h + 2*l. Is h a multiple of 35?
False
Suppose 2*q + 84 - 90 = 0, 3*m - 16521 = -4*q. Does 47 divide m?
False
Let v = 26523 - 19411. Does 176 divide v?
False
Let o be (-2)/(-5) + 212/20 + -6. Let h(p) = 1. Let d(f) = -13*f - 1. Let g(s) = -d(s) + 4*h(s). Does 35 divide g(o)?
True
Let m(g) = -g + 1. Let w(a) = 4*a + 9. Let t(r) = -3*m(r) - w(r). Let s be t(-5). Let h(f) = f**2 - f - 1. Is 13 a factor of h(s)?
False
Suppose 33*v - 28*v - 10 = 0. Suppose 0 = 5*k + v*q - 4 - 65, 0 = -3*q + 6. Is 2 a factor of k?
False
Let z(q) = -2*q**3 - 15*q**2 + 22*q + 504. Is z(-12) a multiple of 254?
Fals