
Let j(t) = 10 - 118*t - 6 + 302*t - 4 + 6. Does 37 divide j(6)?
True
Let j(a) = -1349*a - 8477. Is 3 a factor of j(-10)?
True
Suppose 4 = -2*d, d + 882 = -10*f + 11*f. Does 16 divide f?
True
Let f(m) = -m**2 - 12*m. Let r be f(-12). Let p be 20/(-5) - (r + -4). Suppose h + 2*d + 26 = 75, p = 2*h + 3*d - 95. Is 10 a factor of h?
False
Let p = 2060 + -1530. Is 8 a factor of p?
False
Let u = -728 - -408. Suppose -3*h - 54 = -2*z, 3*h + 43 + 11 = z. Is 12 a factor of 12/h - u/3?
False
Suppose -2*h = j - 1028, -j + 1021 = -40*h + 41*h. Does 2 divide j?
True
Let x(t) be the first derivative of -26 + 9/2*t**2 + 5/3*t**3 - 14*t. Is 6 a factor of x(-5)?
True
Suppose 45 = m + 3*r, 3*r - r = m - 35. Suppose -43*q + m*q + 704 = 0. Is 6 a factor of q?
False
Suppose -5*m = 3*y - 3127, -7*y = -4*y - 4*m - 3082. Does 47 divide y?
True
Suppose 17*u + 6 = 20*u. Suppose -3*w + 5 = 8. Is 14 a factor of (7 - 47)*w*u + 0?
False
Suppose 12*j - 4970 = 7*j - 5*m, 2*m = 2*j - 1960. Is j a multiple of 31?
False
Let s(n) = -4790*n - 3948. Is 213 a factor of s(-5)?
False
Let z(i) = -i**3 + 37*i**2 - 25*i - 391. Is 67 a factor of z(30)?
True
Suppose 0 = -5*d + 3*h + 17581, -61*d + 58*d = -3*h - 10545. Is d a multiple of 13?
False
Let g(q) = 11*q - 85. Let w be g(16). Suppose 55 = -2*x + w. Is 9 a factor of x?
True
Let u(q) = -q**3 - 8*q**2 + 23*q + 33. Let z be u(-10). Suppose 5*n = 3*r - 482 + 97, -5*r + z*n = -615. Is r a multiple of 11?
False
Let a(w) = w**2 + 5*w + 13. Let z(j) = 2*j**2 - 7*j - 137. Let q be z(10). Is a(q) a multiple of 13?
False
Suppose 5*x = 2*b + 31, -4*x + 60 = -3*b - x. Suppose t + 3*t = -156. Let k = b - t. Is 8 a factor of k?
True
Let l(j) = 401*j + 226. Let m(d) = 80*d + 45. Let c(z) = 2*l(z) - 11*m(z). Let o be c(-12). Suppose -68 = 5*t - o. Does 8 divide t?
False
Suppose -2*c + 4*a + 1123 = -2309, -c + 1707 = -5*a. Is c a multiple of 14?
True
Let p(j) be the third derivative of j**4/8 + 299*j**3/6 + 22*j**2. Is 14 a factor of p(17)?
True
Suppose -2*l + 36*a = 33*a - 4308, 0 = -4*l - 3*a + 8598. Does 19 divide l?
False
Let p(k) = -52 + 0*k + 15 - 11*k + 9*k. Let w be p(-16). Let t(j) = j**3 + 7*j**2 + j - 3. Is 10 a factor of t(w)?
False
Suppose 2*p = i + 1650, -2466 = -3*p - 860*i + 857*i. Is 10 a factor of p?
False
Suppose 133 = 17*i - 377. Suppose -i*x = -22*x - 312. Is x a multiple of 18?
False
Suppose -28 - 12 = -b - 5*z, -12 = -3*z. Suppose -t + b = 4*h, 7*h + 2*t - 12 = 6*h. Suppose h*v + 188 = 6*v. Is v a multiple of 11?
False
Let q(a) = a - 6. Let r be q(11). Suppose s - r*z = 12, s + 4*z = 3*z. Suppose -s*g + 8 = 2*g. Is g even?
True
Is ((-160)/20 + (-76575)/(-10))*2 a multiple of 58?
False
Let h = 110060 - 8780. Is h a multiple of 16?
True
Let w(v) = -v**3 + 10*v**2 + 2*v - 15. Suppose -4*x + 18 = u, -5*u = -u - x - 72. Suppose 4*f = -4*z + 52, 4*z - u = -6. Does 2 divide w(f)?
False
Suppose 5*o - 2184 = -444. Let k = 591 - o. Let a = k - 87. Is a a multiple of 13?
True
Let q(o) = -2*o**3 - 7*o**2 - 2*o - 6. Let s be q(-4). Let y be (-28)/(-126) + 3236/s. Does 5 divide (-4)/6*y/(-24)?
True
Let a = -256 - -256. Suppose a*v + 225 = v. Is 15 a factor of v?
True
Suppose -3*d = -4*t + 49465, -2 = 3*d + 7. Does 11 divide t?
True
Suppose 244965 = 14*b - 46571. Is 152 a factor of b?
True
Let u be (-90)/(-20) - (-1)/2. Suppose l - u*d - 444 = 0, l - 465 = -d - 39. Is 5 a factor of l?
False
Let r = 414 + -410. Is 31 a factor of (-6 - (0 - r))/((-24)/1164)?
False
Let q(b) = -12*b + 52. Suppose 2*x + 74 - 90 = 0. Let s be q(x). Let a = 84 - s. Does 13 divide a?
False
Let x(l) = l**3 + 18*l**2 - 17*l + 16. Let a be x(-11). Suppose 0 = -27*g + 22*g + a. Does 35 divide g?
True
Suppose 6 = -81*t + 75*t. Does 11 divide (10/(-3))/t*(-8 - -41)?
True
Suppose 22850 = 19*u - 21325. Is 35 a factor of u?
False
Suppose 8739 = 4*i + 5*i. Suppose -2829 - i = -10*y. Does 19 divide y?
True
Let m be (-2)/11 + 3*(-24)/(-33). Suppose 1003 = m*o - 5. Is o a multiple of 56?
True
Let g(x) = 2*x**3 - 14*x**2 + 172*x - 1740. Is g(12) a multiple of 4?
True
Suppose 0 = -4*a - 3*j + 22377, -13*a - 27977 = -18*a + 2*j. Is a a multiple of 31?
False
Suppose -5*i + 3*g = -200574, i - 40133 = -36*g + 34*g. Is 311 a factor of i?
True
Let p(s) = 5*s**3 - 125*s**2 - 2*s + 29. Let z be p(25). Let t = 49 - 112. Let g = z - t. Is 5 a factor of g?
False
Suppose 9*m + 6584 = 11*m - 2*y, 0 = 3*m + 4*y - 9904. Is m a multiple of 16?
True
Let t(m) be the second derivative of -m**4/12 - 13*m**3/6 - 19*m**2/2 + 30*m. Let p be t(-11). Suppose 0 = -p*a + 26 - 8. Is 6 a factor of a?
True
Let p(x) = x**3 - 2*x**2 - 3*x - 6. Let o = -47 - -70. Let q = -17 + o. Does 20 divide p(q)?
True
Does 110 divide (-3)/(-2*(-4)/(-6176)) - 6?
True
Let b be 1*-9 + (-4)/4. Let x be 14*(-3 - (-35)/b). Let l = x + 155. Is 8 a factor of l?
True
Suppose 116*w - 260057 + 50793 = 0. Does 22 divide w?
True
Does 29 divide 4/(-92) - ((-7563864)/322)/6?
True
Let w = 7110 - 1839. Does 62 divide w?
False
Let x(f) = -5*f - 70. Let d be 2*8*(7/2 - 5). Does 16 divide x(d)?
False
Suppose 93060 = 26*h + 35*h - 51*h. Is h a multiple of 47?
True
Let u(o) = -2*o**2 + 25*o + 26. Does 3 divide u(9)?
False
Let l(v) = -16*v**3 + 3*v**2 + 2*v. Let y be l(-1). Let r(q) = 8*q + 10. Is 21 a factor of r(y)?
False
Suppose 269*u = 277*u + 1472. Let d = -104 - u. Is 16 a factor of d?
True
Suppose 13*i + 32466 = 265002 + 288998. Is 54 a factor of i?
False
Is 256 a factor of 217731/(-12)*(-144)/36*(0 + 1)?
False
Let j(m) be the second derivative of m**3/6 + 68*m**2 - 439*m. Let i be (0 - 0 - 0)/2. Is j(i) a multiple of 34?
True
Let k(y) = 34*y**2 - 15*y - 1000. Is k(-16) a multiple of 8?
True
Does 83 divide (-224)/(-64) + 6876/8?
False
Suppose 0 = 6*c + 228 + 270. Suppose -113 = 2*k + k - 5*x, 3*k + 89 = -x. Let j = k - c. Does 5 divide j?
False
Is (-16)/(-3)*2625/28 - 5 a multiple of 10?
False
Let q(a) = -4*a + 14. Let n be q(5). Is (-1)/1*51/n*2 a multiple of 13?
False
Let m = 126 + 191. Let q = -262 + m. Does 5 divide q?
True
Let h = -4031 - -4643. Does 4 divide h?
True
Let u be 28/15 + (18/135)/1. Let n(o) = -o**3 + 1120. Let r be n(0). Suppose -5*a - u*a = -r. Is 20 a factor of a?
True
Let k(c) = -6*c**3 + 4*c**2 + 2*c. Let m be k(-3). Let v = 252 - m. Does 20 divide v?
True
Suppose 0 = -2*p + 2*i + 5698, -4*p + 9127 = 5*i - 2305. Does 9 divide p?
True
Let s(z) = z**3 - 17*z**2 + z - 1. Let o be s(17). Let l = o + -14. Suppose 2*w + 3*p = 116, 3*p = 2*w - l*p - 148. Is 16 a factor of w?
True
Let x(q) = 49*q + 615. Does 65 divide x(53)?
False
Let s = 37 + -45. Let j = -8 - s. Suppose 0 = -4*h - 4*k + 156, -5*k - 120 = -j*h - 4*h. Is h a multiple of 7?
True
Suppose 5722*l = 5712*l + 99410. Is 77 a factor of l?
False
Let a = 1 - 3. Let k be 3/(27/a) - 10/(-45). Suppose k = 6*x - 1496 - 814. Does 55 divide x?
True
Let f(h) = 14*h**2 - 12*h + 28. Let q be f(2). Is 3/5 - (-31704)/q a multiple of 11?
False
Suppose -4*u + 3*p + 285 = 0, -u - 2*p = -39 - 46. Suppose 1 = a + 6, 3*a = 2*t + u. Let q = t + 93. Is 6 a factor of q?
True
Suppose -182*a + 198*a - 35152 = 0. Is a a multiple of 52?
False
Let r(p) = p**3 - 8*p**2 + 15*p - 6. Let s be (-63)/18*(-12)/21. Suppose -v = -s*v + 8. Does 10 divide r(v)?
False
Let y(v) = -8 + 3 - 6*v + 4 - 2*v. Let q be y(3). Let d = q - -39. Does 7 divide d?
True
Suppose -24*d + 45028 = -90236. Is d a multiple of 19?
False
Suppose 1982 = 8*p - 162. Suppose j - p = k - 63, 4*k - 398 = -2*j. Is j a multiple of 8?
False
Suppose 0 = 47*i - 74*i - 11124. Is 37 a factor of (i/14)/((-11)/308)?
False
Suppose 3*o + 1311 = 3*r, -1490 = -4*r - o + 258. Does 7 divide r?
False
Let n(s) = 1437*s**3 - 10*s**2 + s + 8. Is n(2) a multiple of 39?
True
Let c be ((-8)/16)/(1/(-2)). Let u = 15 + c. Suppose y - u = -2*b, 0*y - 4*y = -8. Is 7 a factor of b?
True
Let g be (-37 - -38)*(0 - 3 - 1). Let j(r) = -r**2 + 9 - r**2 + 6*r**2. Is j(g) a multiple of 19?
False
Suppose -8*i - 26*i = -1360. Suppose 0 = -i*t + 7*t + 34848. Does 15 divide t?
False
Suppose 37*q = -12*q + 1329615. Is 67 a factor of q?
True
Suppose -3*d = 69 - 3. Let g = 93 - d. Let o = g - -12. Is 20 a factor of o?
False
Let w(g) be the third derivative of -g**6/120 + g**5/20 + g**4 - g**3/2 + 167*g**2. Is w(6) a multiple of 2?
False
Suppose -4*a = -2838 + 918. Suppo