Suppose -4*j + 5 + 7 = 0, -2*g - c = 2*j. Let t = -72 - g. Is 16 a factor of t?
True
Let q(a) = -a**3 - 23*a**2 + 30*a - 25. Let t be q(-23). Let n = -409 - t. Is n a multiple of 34?
True
Let s(c) = -4*c**3 - c**2 + 1. Suppose -2*q = -5*q - 6. Let u be s(q). Suppose 4*r = -u + 73. Does 11 divide r?
True
Suppose -37*h + 2304 = -31*h. Suppose 0 = -2*a - 6*a + h. Does 12 divide a?
True
Let j(r) be the third derivative of r**4 + 5*r**3/3 + 6*r**2. Does 21 divide j(3)?
False
Let l = 1884 + 3191. Does 26 divide l?
False
Is 52 - 0 - 14*(-2)/7 a multiple of 3?
False
Suppose 2*s = 3*n - 40, -72 - 2 = -5*n - 4*s. Suppose -v - 351 = -n*v. Is 4 a factor of v?
False
Suppose 0 = 2*m - 8, 0 = -7*p + 4*p + 3*m + 885. Is 19 a factor of p?
False
Let t(c) = -16*c - 4 + 19*c - 5*c. Is t(-6) a multiple of 4?
True
Let o be (-484)/(-55) - (-3)/15. Let p = o + 11. Does 4 divide p?
True
Suppose -4*l + 97 = 5*p, 0 = -3*p - 25*l + 23*l + 59. Does 6 divide p?
False
Let d(x) = -5*x + 53. Let g = 22 + -34. Is 22 a factor of d(g)?
False
Suppose 0*p + 4*p = 4*q + 16, 0 = q. Suppose p = -s + 115. Is s a multiple of 5?
False
Let z(q) be the second derivative of q**5/20 + 5*q**4/12 - q**3/3 + 5*q**2/2 - 2*q. Let t be z(-4). Let j = t - 5. Is j a multiple of 12?
True
Let n(o) = 2*o**3 - 9*o**2 + 27. Does 18 divide n(9)?
True
Suppose 4*i + q + 311 = -456, -2*i - 4*q - 380 = 0. Is i/(-7) - 33/77 a multiple of 9?
True
Let u(m) = -12*m - 39. Suppose 4*n + 17 = -3*s - 46, -58 = 4*n + 2*s. Is 21 a factor of u(n)?
True
Let k(p) = -4*p + 35. Let c be k(8). Suppose -f = 4*f - c*q - 57, 5*q = -f + 17. Is f a multiple of 12?
True
Let a(u) = 7*u - 5. Let j be ((-22)/88)/(2/(-16)). Is a(j) a multiple of 9?
True
Suppose 2*q - 3*a - 46 = -7*a, -3*a - 78 = -3*q. Suppose -5 = -5*g + q. Does 25 divide 1/2 + 597/g?
True
Let y(a) be the second derivative of 13*a**6/360 - a**5/120 + a**3/2 - a. Let h(c) be the second derivative of y(c). Is h(1) a multiple of 3?
True
Suppose 0 = -31*f + 30*f + 29. Suppose f = -3*v + 137. Is v a multiple of 9?
True
Let r = 98 + -94. Suppose -x + r*x - 147 = -3*k, -3*k + 4*x = -112. Is k a multiple of 9?
False
Let m(p) be the second derivative of 2*p**4/3 - p**2 - 3*p. Let j be m(2). Let o = j + -16. Is o a multiple of 7?
True
Suppose -4*g + 9941 = 5*f, -2*f - 5*g + 3500 + 473 = 0. Is f a multiple of 25?
False
Suppose 5*i = 169 + 126. Let a = 136 - i. Is 18 a factor of a?
False
Suppose 7*f = k - 110, k + 3*f = 6*f + 90. Is k a multiple of 3?
True
Suppose 6 = -2*c + 16. Suppose c*p + 376 = 1141. Is p a multiple of 14?
False
Let t = -573 - -1026. Is t even?
False
Suppose 0 = -9*s + 3*s. Suppose s = -11*x + 3357 - 893. Is 27 a factor of x?
False
Let h = 259 + -184. Is 16 a factor of (-1)/3 + 7525/h?
False
Let i(o) = 2*o**2 - 8*o - 8. Let j = 15 + -8. Does 9 divide i(j)?
False
Suppose 17*q + 555 = 20*q. Let k = 29 - 26. Suppose 0 = -k*l + q + 196. Does 33 divide l?
False
Let i(n) = -2*n - 9. Let z be i(-6). Suppose -66 = -l + z*o, 32 + 38 = l - 2*o. Does 13 divide l?
True
Let b = -386 - -590. Is 17 a factor of b - ((-4)/(-2))/2 - -1?
True
Let l be 3/15 + (-2)/10. Suppose -2*q + l*q + 52 = 0. Suppose -q = -4*z + 54. Is 10 a factor of z?
True
Let v(q) = 17*q - 1. Let m be v(3). Suppose 25*u = 30*u - m. Is u a multiple of 3?
False
Let t(x) = 3*x**3 - 2*x**2 - 3*x + 1. Let o be t(2). Let a(z) = -z**3 + 9*z**2 + 24*z + 1. Does 23 divide a(o)?
True
Let r(c) = -c**2 - 23*c + 10. Let u be r(-17). Suppose 12*t - 10*t - u = 0. Is 28 a factor of t?
True
Let f(j) = -277*j + 443. Is f(-4) a multiple of 7?
False
Let u = -492 + 828. Does 28 divide u?
True
Let x(q) = 6*q + 24. Suppose -2*u = -u + 2*z - 7, -3*z - 48 = -5*u. Does 7 divide x(u)?
False
Suppose -4*o - 269 = -3*h - 0*o, -2*h + 178 = -4*o. Suppose 9*x = 125 + h. Does 8 divide x?
True
Let s(m) = m - 2. Let g be s(7). Suppose i + 2*z = 6*z + 148, -10 = g*z. Is 35 a factor of i?
True
Let c(h) = -h**3 - 13*h**2 + 13*h + 12. Let n be c(-14). Let v = 5 - 3. Let l = v + n. Is 16 a factor of l?
False
Suppose 0 = -43*l + 38*l + 2*y + 859, 2*l = 3*y + 337. Is l a multiple of 7?
False
Suppose -7*x + 0 = -21. Suppose x*n - 10 = n. Is 4 a factor of n?
False
Let n be (-1 - -2) + 12/(-4). Let r = 5 + n. Does 3 divide r?
True
Let q be (-1*(-18)/(-21))/(6/(-28)). Let p(k) = 3*k**2 - 3*k + 12. Is 12 a factor of p(q)?
True
Let j(f) = -2*f**3 + 18*f**2 + 9*f - 21. Is 15 a factor of j(9)?
True
Suppose 0 = 5*s - p - 1860, 1139 = 3*s + 3*p + p. Let w = s + -113. Is 20 a factor of w?
True
Suppose -8*n = 2*n - 570. Suppose 10*u = n + 203. Does 3 divide u?
False
Suppose w = -5*q - 1843 + 5545, -4*q + 5*w + 2979 = 0. Is q a multiple of 43?
False
Let c(b) be the second derivative of b**5/20 - 13*b**4/12 + 11*b**3/6 + 15*b**2/2 + 3*b. Is 2 a factor of c(12)?
False
Suppose 1792 = 37*y - 29*y. Is y a multiple of 68?
False
Suppose -5*z + 735 = -0*z. Is z a multiple of 8?
False
Suppose 1 = 5*f - 2*s - 18, -5*f = 5*s - 5. Suppose 3*z + f*y = 7 + 8, y - 13 = -5*z. Suppose -4*m + z*m = -222. Is 19 a factor of m?
False
Let q = 69 + 31. Does 7 divide q?
False
Let r be (-12)/(-1) - -3 - 0. Suppose r*y - 552 = 3*y. Is 10 a factor of y?
False
Let v(b) = 40*b + 25. Is v(28) a multiple of 10?
False
Let k = -1539 + 3463. Is k a multiple of 100?
False
Let a be 84/(-8)*(3 + -5). Does 6 divide (a - 8/4) + 4?
False
Let p be (-4 - 70)/(1/171). Let o be p/(-27) + (-4)/6. Is 21 a factor of (o/(-15))/(9/(-30))?
False
Let s = 59 - -12. Does 7 divide s?
False
Let c be (-2)/(-3)*(-19 + -89). Is c/14*(-56)/12 a multiple of 12?
True
Suppose -w + 5*u = -184, -3*w + 808 = w - 2*u. Does 17 divide w?
True
Let t(b) = 19*b**2 + b + 36. Does 34 divide t(-6)?
True
Let a = 22 + -17. Suppose -143 + 494 = 5*y + 3*t, -a*t + 148 = 2*y. Is 13 a factor of y?
False
Suppose -2*c = 3*f - 208, -4*f + f = c - 98. Does 4 divide c?
False
Let r(c) = 1017*c - 778. Does 35 divide r(4)?
True
Let s(m) = -m**2 + 18*m - 14. Let b be s(17). Let t(w) = w**3 + w**2 - 2*w + 4. Is t(b) a multiple of 17?
True
Let k = 36 + -36. Let r(g) = -12 + 34 + g + 17 + 15 - g**3 - g**2. Does 18 divide r(k)?
True
Let x = 22 + 46. Is 34 a factor of x?
True
Let w be (-13)/1*(-7)/7. Let u be (-1 - w/(-5))*-5. Is 4/1*(-30)/u a multiple of 15?
True
Let b = 452 - 340. Does 7 divide b?
True
Let w(p) = p**3 - 3*p**2 + 2*p - 2. Let h be w(2). Let v be (-4)/(-14) + 107/(-7). Does 9 divide (-264)/v + h/(-5)?
True
Let s(z) = z**2 + 8*z + 64. Is s(-5) a multiple of 7?
True
Let r(a) = 8*a**2 - 3*a + 1. Suppose -4*d + 1 = -7. Let z be r(d). Let t = z - -35. Is t a multiple of 31?
True
Let x = 24 - 32. Is 7 a factor of 12/x*84/(-9)?
True
Is 83 a factor of -2 - (12145/(-7) + -10)?
True
Is 20*(-38)/(-4) - (-156)/(-78) a multiple of 13?
False
Let u be 10/5*27/(-2). Let l = u - -41. Is 3 a factor of l?
False
Suppose -53286 = -90*w + 57684. Is 9 a factor of w?
True
Let h = 1248 - 727. Does 20 divide h?
False
Let t(q) = -21*q + 5. Let m be t(-3). Does 13 divide 1921/m - 1/4?
False
Let m = -4522 + 7676. Is m a multiple of 17?
False
Is 25 a factor of 147500/118*(-1)/(-2)?
True
Suppose 5*s - 2070 = -0*s. Suppose -5*z = -4*b - 1034, -2*z + 0*z = -2*b - s. Is 19 a factor of z/6 - (-2)/3?
False
Let r(n) be the second derivative of n**4/12 + n**3/6 + 3*n**2/2 + 99*n. Suppose -y = 3*y - 24. Does 16 divide r(y)?
False
Let r be ((-594)/(-8))/(-9)*8/2. Let p = r + 53. Does 10 divide p?
True
Let z be ((15 - 17) + 0/1)*88. Let n = 64 - z. Is n a multiple of 19?
False
Let m = -1 + 1. Let k be (46/(-138))/((-232)/(-234) - 1). Suppose m = -4*d + 5*p + k, -5*d + 30 = -p - 24. Is d a multiple of 4?
False
Let m = 15 + -15. Suppose a - 2*y = -1, m*y = -5*y + 25. Is 86/3*a/3 a multiple of 27?
False
Let p(v) = -61*v + 35. Does 9 divide p(-9)?
False
Suppose 13 = -5*y + 7*y - 5*q, -18 = 3*y + 5*q. Let z be ((-18)/(-5))/(y/55). Is 11 a factor of z/15*30/(-9)?
True
Let t be (-2)/(32/(-600))*8/6. Suppose -5*s = 3*w - 425, 53 = s - 3*w - t. Is s a multiple of 11?
True
Let g(m) be the first derivative of m**3 - 33*m**2/2 + 4*m + 27. Is g(12) a multiple of 20?
True
Let u = 14 - 12. Suppose 10 = 7*c - u*c. Is 20 a factor of 178/9 - c/(-9)?
True
Is ((-380)/12)/(12/(-216)) a multiple of 15?
True
Let m(c) = c**3 + 12*c**2 + 17. Let d be m(-12). Let l = d + -31. Let p = 23 + l. Is 6