Suppose 11 = 4*a + 5*j - 13, 12 = 2*a + 3*j. Is 3 + 151 + 4 - a a multiple of 6?
False
Let m be 2/6*(15 - 24). Let o be -1*(1 + 2)/m. Does 9 divide (54/(-7))/(o/(-7))?
True
Suppose o + 14 = -4*k, -2*k - 2*o = -5*o + 14. Let s be (-2)/(-10)*-8*630/28. Is 3/(s/k)*(-846)/(-2) a multiple of 25?
False
Let d(x) be the second derivative of -x**4/12 - x**3/3 + 3*x**2 - 6*x. Let f be d(3). Let n(k) = k**2 - 6*k - 11. Is n(f) a multiple of 24?
False
Does 15 divide 1 - (25554/(-24) + (-15)/(-20))?
True
Does 35 divide (-2)/(-4) - (625976/(-156))/(4/3)?
True
Let v(w) = w**2 + 47*w + 79. Let r be v(-41). Is 45 a factor of (-30 + 31)/((-1)/r)?
False
Let v = 487 + -490. Is (v/(-9))/(6/14598) a multiple of 10?
False
Let b = -124 - -128. Suppose 10*p - 15*p + 1797 = r, b*p - 4*r - 1452 = 0. Is p a multiple of 20?
True
Let k(y) = -478*y + 1352. Is 40 a factor of k(-36)?
True
Let i be (-2)/(((-8)/18)/(10/15)). Let s be (0 - 2)*(i - (-140)/(-8)). Suppose 3 = a - 3*o, 2*a + 4*o - s = 7. Is a a multiple of 4?
True
Suppose 3*u + 7 + 2 = 0. Is 23 a factor of (1*-2)/(5 + u) - -48?
False
Is ((-22)/(-4))/((-215)/(-275630)) a multiple of 49?
False
Let z be (2/4)/((-2 + 6)/(-8)). Does 18 divide 9/(z - 2) + (468 - -3)?
True
Let h(y) = y**3 - 13*y**2 - 2*y + 13. Let f be h(13). Let q = -9 - f. Is 3 a factor of (-210)/(-75)*10/q?
False
Suppose 166 = 12*w + 46. Let g be 5/w*6 + -1. Suppose -g*u - 4*u = -84. Is u a multiple of 7?
True
Let b = -35 + 60. Suppose -f = -4*u - b, -6*f - u + 100 = -2*f. Let p(q) = 6*q - 42. Does 9 divide p(f)?
True
Suppose r + 6856 = 4*n, 89*n - 1731 = 88*n - 4*r. Does 49 divide n?
True
Suppose 2*z - 3*d - 95 = 6*z, -3*z + 3*d = 66. Let k = -9 + z. Let t = 92 + k. Does 14 divide t?
False
Let z be -20 + 26 + (1 - 5). Suppose 318 = -z*b + 908. Does 10 divide b?
False
Does 8 divide ((-474)/(-6) + -3)*2?
True
Let c = 210 + -248. Let v = 202 + c. Is 41 a factor of v?
True
Let v be (24/(-14))/(6/21). Does 7 divide ((-115)/10 + 10)*652/v?
False
Let k(i) = 45*i - 96. Suppose 20 - 92 = -9*m. Does 33 divide k(m)?
True
Let g(v) = -v**3 + 110*v**2 + 157*v - 2066. Is 7 a factor of g(111)?
False
Suppose a + 15 - 45 = -3*t, -2*a - 5*t + 55 = 0. Suppose -a*q = -14*q - 6. Suppose -3*z - 2*i = -54 + q, -2*z + i = -25. Is z a multiple of 3?
False
Is (-2)/(-9) + 155/(-90) + 1642/4 even?
False
Let x(q) = q**2 + 14*q - 10. Let d be x(-15). Suppose i = 1, 4*w + 3*i - d*i = 2030. Suppose 942 - 272 = 4*j + 2*z, 0 = -3*j + 4*z + w. Does 20 divide j?
False
Let m(b) = 24*b + 15. Let s be m(-1). Does 12 divide -2*(-63 + 9*(-3)/s)?
True
Let k = -10377 - -11380. Is 28 a factor of k?
False
Suppose -3*p - 2*p - 1325 = 0. Let o = p + 420. Does 17 divide o?
False
Suppose 0 = 5*s - 8*s + 3*k + 249, -5*k - 99 = -s. Let j = 117 - s. Is 23 a factor of j?
False
Let n be ((-162)/7)/((-6)/(-42)). Let y be n/12*8/1. Let x = y - -233. Is x a multiple of 12?
False
Let n(v) = -v**3 - 15*v**2 + 3*v - 7. Let p be n(-14). Is ((-12)/(-10))/(721/p - -3) even?
False
Suppose 14 = 5*t + 3*z, 2*z - 1 + 9 = t. Suppose 12*o - t*o + 848 = 0. Let k = o + 220. Is k a multiple of 19?
True
Suppose -6035 = -10*n + 5065. Is n/(-259)*(-42)/4 a multiple of 2?
False
Suppose -87 - 5628 = -9*k. Is 12 a factor of k?
False
Let a = -2915 - -4175. Is 20 a factor of a?
True
Suppose -3*f + 6380 = 2*h, -11*h + 15*h = f + 12732. Does 22 divide h?
False
Let s = 19 + -4. Suppose x + 0*h + 138 = -h, 3*h = -s. Let k = -85 - x. Does 24 divide k?
True
Let s(t) be the first derivative of -3*t**2 + 5/3*t**3 + 10*t + 41. Is 42 a factor of s(-8)?
True
Suppose -4*g + 2793*m - 2795*m + 2964 = 0, -2922 = -4*g + 5*m. Does 18 divide g?
True
Suppose 0 = -20*x + 12556 - 1816. Suppose -4*d - 4*v + 859 = -x, -5*v + 695 = 2*d. Is d a multiple of 14?
True
Suppose -c + d + 586 = 0, d + 0*d = 4*c - 2350. Suppose 2*n = 16*n - c. Is n a multiple of 14?
True
Let v = 2 + -16. Let r = 27 + v. Is 3 a factor of r*(3 + -8)/(-5)?
False
Let r(n) = 3*n**2 + 3*n - 14. Let t be r(4). Let f = 26 - t. Is 1/4 + (-5715)/f a multiple of 11?
True
Let z = -1178 + 1737. Suppose -m + h + 27 = -z, -3*m - 3*h + 1752 = 0. Does 39 divide m?
True
Let j = 16 + -4. Let t(w) = 22*w**2 - 12*w**2 - 9*w**2 + w - j. Does 3 divide t(-5)?
False
Let p(m) = -26*m**3 + 4*m**2 - 34*m + 44. Is 7 a factor of p(-7)?
False
Let c = 29652 + -18688. Is c a multiple of 21?
False
Let s be (648 + 3)*8/(-8). Let v = 931 + s. Does 10 divide v?
True
Is (-110976)/612*(-1 + 5/(-4)) a multiple of 34?
True
Suppose -1292424 = -73*r - 104*r + 988752. Does 9 divide r?
True
Let f be (-360)/16*3*(-72)/(-5). Let h = f - -1604. Is 56 a factor of h?
False
Let p be 2/4*(-7 - -7)/7. Is (p/(-4) + -7)/(2/(-62)) a multiple of 31?
True
Let t = -539 + 543. Suppose -3*p - 5*l = -443, -5*p - 2*l + 458 = -293. Suppose 0*n - p = -a - t*n, 2*a - 274 = -n. Is a a multiple of 15?
True
Suppose -5*m - 1707 - 3158 = -5*l, 0 = -m + 1. Let t = 2006 - l. Suppose 0 = -3*f - 9*f + t. Does 43 divide f?
True
Is ((-20900)/440)/(1/(-1) + 165/168) a multiple of 266?
True
Let c(n) = -n**3 + 69*n**2 + 142*n + 84. Is 21 a factor of c(71)?
True
Suppose 7*n - 95356 - 30680 = -8485. Is n a multiple of 119?
False
Suppose -12 = -2*w, -288*o - 2*w = -286*o - 28092. Does 104 divide o?
True
Suppose -5*d + 26417 = 4*x, -13210 = -0*x - 2*x - 2*d. Suppose 27*f - 13237 = x. Is 21 a factor of f?
True
Suppose -72*k = -141*k - 3*k + 2009448. Is 9 a factor of k?
True
Let y = -10043 + 13093. Is 3 a factor of y?
False
Suppose 30 = -2*w - 4*l, w + 20 = -l - 2*l. Is ((-552)/(-10))/((-11)/w - 2) a multiple of 23?
True
Suppose -2*g = -s + 1, -2*g - 2*s = 1 + 9. Let k = g - -4. Suppose k*x - 264 = -6*x. Is x a multiple of 11?
True
Let c(n) be the third derivative of n**5/3 + 9*n**4/8 - 4*n**3/3 - 90*n**2. Does 51 divide c(-5)?
True
Let w(f) = -162*f - 160. Let a(h) = 2*h**3 - 72*h**2 - h + 26. Let d be a(36). Is 20 a factor of w(d)?
True
Let z be (-3 + (-9)/(-4))/(6/(-40)). Suppose -2*q = -4*j + j - 2043, 5*j = -z*q + 5120. Is (-3 - 1)/(-24) + q/18 a multiple of 19?
True
Let r be 14/21 - (-14)/6. Let h(n) = -24*n + 27*n + n - r + 66*n. Does 38 divide h(1)?
False
Let r(n) = -n**2 + 10*n - 41. Let m be r(7). Suppose -3*p + 181 = -2*z, 3*p - z = 162 + 20. Let v = m + p. Is v a multiple of 7?
False
Suppose -310*y + 140940 = -265*y. Is 27 a factor of y?
True
Let x(a) = -a**3 + 38*a**2 + 38*a - 994. Is x(38) a multiple of 30?
True
Let v be (36/(-21))/((-8)/28). Let y(l) = 3*l**2 - 19. Let b(r) = -4*r**2 + 20. Let m(t) = 2*b(t) + 3*y(t). Does 2 divide m(v)?
False
Suppose 7*z = 10*z. Suppose 138 = t - w - 438, z = 3*w + 6. Does 25 divide t?
False
Let v = -1104 - -1107. Suppose 2*x = -3*k + 207, 7*k - 345 = 2*k + 3*x. Suppose -a + v*y + k = 0, 0*y = 4*y + 12. Does 10 divide a?
True
Let k be (-2374)/(-3) - 8/(-12). Suppose 15*z - k - 5058 = 0. Does 39 divide z?
True
Let c(r) = -255*r + 51. Suppose f - 84 = -3*f. Let g be c(f). Is 40 a factor of ((-1)/(-2))/((-17)/g)?
False
Suppose -5*z - 16 = -61. Let v(d) = d**2 - 13*d + 42. Let i be v(z). Suppose -167 = -i*w + 133. Is w a multiple of 8?
False
Let r = 4290 + -3570. Is 10 a factor of r?
True
Suppose -2*p - 36414 = -5*c, 431*c = 433*c - 5*p - 14595. Is 16 a factor of c?
True
Suppose -4*p + 151 = -369. Let c = p + -53. Suppose 0*t = 3*t + 12, 0 = z + 4*t - c. Is 5 a factor of z?
False
Suppose 6*n + 58148 = 86342. Does 98 divide n?
False
Suppose -3*q + 4*y = -33842, 22*q + 5*y + 22559 = 24*q. Is q a multiple of 13?
False
Let j(q) = -6*q - 28. Let g be j(32). Let t = 346 + g. Does 21 divide t?
True
Let q(x) = x**3 - x**2 - x + 1. Let v(n) = -4*n**3 + 25*n**2 + 26*n + 37. Let r(t) = 5*q(t) + v(t). Let p be r(-19). Is 245 + p + 0/(-2) a multiple of 28?
False
Let i(n) = -72*n + 551. Is i(-20) a multiple of 11?
True
Let r be (-2)/(-4)*(2 + -24). Let n(c) = c**2 - 2*c + 45. Does 59 divide n(r)?
False
Suppose -2*q + 2*l = 5*l + 102, -2 = l. Let b = 45 + q. Is 5 a factor of -2 - ((-2 - 1) + 23*b)?
True
Let o(m) be the third derivative of m**5/15 - 5*m**4/6 + 15*m**3/2 - 39*m**2 - m. Is o(6) a multiple of 3?
True
Let g = -7281 + 53703. Does 56 divide g?
False
Suppose 0 = -4*a - 2*f + 16, 3*a + 4*f - 3*f - 11 = 0. Suppose -7*x = -a*x - 4*g - 12, -3*g - 9 = -x. Let b(y) = -y**2 - 2*y + 3. Is 2 a factor of b(x)?
False
Let i(t) = 4*t*