
True
Let f(n) = -31*n - 1. Suppose 4*l = -3*q - 0*q + 13, -21 = 5*q - 4*l. Is 16 a factor of f(q)?
False
Let a(u) = u**3 + 8*u**2 + 7*u + 4. Let v be a(-7). Suppose -v*s + 515 = s. Suppose 0 = -5*z + 82 + s. Does 21 divide z?
False
Suppose 71*a - 57*a = 532. Does 19 divide a?
True
Let s(u) = -u**2 + 16*u - 28. Let w be s(12). Is 5 a factor of (9/18)/(2/w)?
True
Suppose -m + 5*v + 5 = -487, 4*m + 2*v = 1902. Is 19 a factor of m?
False
Suppose o - 6 = -2*o. Let l be o/(-12) - 49/(-6). Suppose 4*j = l*j - 68. Is j a multiple of 16?
False
Let r = 265 + 631. Does 18 divide r?
False
Suppose 4*z - 1452 = -5*l + 227, -3 = -l. Does 16 divide z?
True
Let v = 1890 - 1326. Is 47 a factor of v?
True
Let b(s) = -s + 7. Let u be b(5). Suppose 0 = 5*z - 3*n - 685, u*n = 11 - 1. Is 10 a factor of z?
True
Suppose 7*h = 6*h + 13. Let r = h + 13. Is 13 a factor of r?
True
Let s(w) = -3*w. Let d be s(-2). Suppose -d*m + 16 = -14. Suppose 0*v - 3*v + m*x = -53, 2*x + 30 = 2*v. Is 11 a factor of v?
True
Let y(r) = 22*r**2 - 13*r + 8. Is y(16) a multiple of 56?
True
Suppose 0 = -2*p + 6 + 12. Let v(c) = 2*c**2 - 15*c + 16. Is 10 a factor of v(p)?
False
Suppose -y - 87*l = -85*l - 3091, y - 3*l = 3116. Is 10 a factor of y?
False
Let t(h) = -h**2 + 18*h - 45. Does 3 divide t(10)?
False
Suppose 5*g - 3251 = -1866. Does 19 divide g?
False
Suppose -2*o - 106 = -3*o. Does 8 divide o?
False
Suppose -z = 3*s - 1755 - 181, -3*s + 1940 = 2*z. Suppose 5*p - s = n, -p - 2*n = -4*n - 127. Does 43 divide p?
True
Let f = 36 - 17. Suppose 0 = -3*b - 2*b + 2*s + 69, -3*b - 3*s + 33 = 0. Let o = f - b. Is 3 a factor of o?
True
Let w = 242 - 127. Suppose 5*v - 86 = -q, 3*v + 206 + w = 4*q. Is q a multiple of 15?
False
Let d(r) = 2*r + 4. Let x be 1/(-2 + (-30)/(-14)). Let u be d(x). Let k = -5 + u. Is 5 a factor of k?
False
Let w(l) = -l**3 - 6*l**2 - 6*l - 2. Let r be w(-5). Suppose 67 = r*z - 14. Is z a multiple of 10?
False
Let t be ((-2)/(-3))/(4/6). Let f be t/(-4) + (-56)/32. Let l = 8 + f. Is l even?
True
Suppose 3*s + w - 1 = 11, -2*s + 2*w = -16. Suppose 0 = -s*q - x + 15, 5*q - 7 = -3*x + 8. Suppose 31 = q*d - 104. Is 15 a factor of d?
True
Let k(y) be the first derivative of y**4/4 - 11*y**3/3 - 11*y**2/2 + 5*y - 11. Does 4 divide k(12)?
False
Suppose -148 = -2*o + 2*p + p, -3*o + 222 = -2*p. Suppose -y + 3*n + o = 2*n, -y + 4*n = -59. Is 18 a factor of y?
False
Let o(q) be the third derivative of -q**4/6 - 13*q**2. Does 8 divide o(-4)?
True
Suppose 1608 = 12*w - 768. Is w a multiple of 4?
False
Suppose 59*h = y + 57*h - 515, -5*y = -3*h - 2575. Is 4 a factor of y?
False
Let r(o) = 3*o + 6. Let j be r(8). Suppose 3*w - 5*p - j = 0, -2*w - 5*p + 42 = -p. Let x = w + 18. Is x a multiple of 8?
False
Let k(p) = -6*p + 17. Let b(d) = 17*d - 50. Let a(g) = 4*b(g) + 11*k(g). Let y be a(7). Is 16 a factor of y/1 - (-13 + -34)?
True
Let d(w) = w**3 - 4*w**2 + 5*w - 1. Let p(i) = -i**2 - 7*i + 4. Let j be p(-7). Is 8 a factor of d(j)?
False
Does 14 divide 2*2/12 - (-25557)/63?
True
Suppose -863 = -2*t + 775. Suppose -d = -10*d + t. Is 13 a factor of d?
True
Let r(o) = o**3 - 8*o**2 - 6*o + 6. Let d be 11 - (-5 + 1 + 2). Suppose b + 3 = 0, 0 = -4*h + 2*b + 29 + d. Does 14 divide r(h)?
False
Let b be (6/(-16)*4)/(2/(-4)). Is 10 a factor of b*(-148)/(4 - 8)?
False
Suppose 2*j + w - 6*w = -28, w - 4 = 0. Let g be 3/(2 - (-2)/j). Does 9 divide 3/(-1) + (37 - g)?
False
Suppose s = 8*m - 4*m - 2014, 996 = 2*m + 5*s. Is m a multiple of 129?
False
Let l(b) = -b**3 + 16*b**2 + 51*b + 29. Is l(17) a multiple of 28?
False
Suppose 2*m = 5*m. Let a = 50 + -12. Suppose 0 = -3*v - 5*h + 109, v + m*h + 2*h - a = 0. Does 8 divide v?
False
Let b(u) = 33*u**3 - u**2 - 4*u + 6. Does 43 divide b(2)?
True
Let x(i) = i + 24. Let m(p) = 5*p + 83. Let w be m(-18). Is x(w) a multiple of 17?
True
Suppose -2*p + 1 + 7 = 0. Suppose 3*l - 4*f = 257, p*f = 2*l + 2*f - 172. Suppose b - 3*y - l = 0, 2*b - 5*b + 5*y + 249 = 0. Is b a multiple of 26?
True
Suppose 5*s = 25, o + s = 669 - 127. Does 23 divide o?
False
Suppose 5*u + 252 = 2*u. Let l = u + 120. Is 8 a factor of l?
False
Let b = -10 - -12. Suppose 2*x = -b*j - 42, -x + 104 = -5*j + 29. Does 19 divide 192/5 + j/40?
True
Suppose -44 = t - 2812. Is t a multiple of 13?
False
Suppose -2*s + 86 = -3*c - 15, 2*c + 154 = 3*s. Is s even?
True
Suppose -5*w - 2*y + 952 = -202, -2*w = 5*y - 449. Does 3 divide w?
False
Let q = -5442 - -7737. Is q a multiple of 85?
True
Suppose 1 = 3*a + 22. Let p be (-4)/a*35/10. Is 9 a factor of 2 + 50/p + 0?
True
Suppose 5*x + 2*o - 10 = 0, x + 2*x = -3*o + 15. Suppose 5*h + 25 = 0, -u - 2*u - 4*h + 10 = x. Does 10 divide u?
True
Let s(r) be the third derivative of 0 - 1/12*r**4 + 0*r + 3/2*r**3 - 6*r**2 - 1/120*r**6 + 3/20*r**5. Is 16 a factor of s(8)?
False
Let s(u) = u + 16. Suppose 0 = 3*w - w + 20. Let v be s(w). Is v/16 + 7711/88 a multiple of 31?
False
Let r = 252 - 173. Let q = -40 + r. Is 9 a factor of q?
False
Let p(w) be the first derivative of -w**3/3 + 6*w**2 - 2*w - 9. Let o(h) = h**2 - 12*h + 3. Let f(g) = 3*o(g) + 4*p(g). Is 4 a factor of f(11)?
True
Let p(f) = 5*f**3 - 13*f**2 - 12*f - 16. Let r(c) = 11*c**3 - 26*c**2 - 24*c - 33. Let i(x) = -13*p(x) + 6*r(x). Does 10 divide i(-12)?
True
Let w(f) = -f - 1. Is w(-5) even?
True
Let i = 148 + -80. Suppose 27 - i = -q. Suppose -3*s = 2*k - q, 0 = 4*k + 6*s - s - 79. Does 6 divide k?
False
Let p(f) = -f**2 - 7*f - 12. Let l be p(-4). Suppose l*u = -4*u + 40. Does 2 divide u?
True
Let o = -39 + 47. Is 12 a factor of (-18)/(-2)*(o + 10)?
False
Suppose -2*b + 225 = b - 4*a, -b + a = -74. Let m = b + -23. Is 14 a factor of m?
False
Let k(c) = 4*c**2 + 7*c. Does 2 divide k(-3)?
False
Let v = 24 + -11. Suppose 5*j = -3 + v. Suppose n = j*n - 11. Does 3 divide n?
False
Let d(h) = 14*h**2 + 68*h - 18. Does 6 divide d(-10)?
True
Suppose 2*w = 4*w + 78. Is 20 a factor of (-2)/(-6) - 3575/w?
False
Let s be 1*4/((-16)/(-20)). Suppose -3*k - k = 2*r - 16, -4*r = -s*k - 84. Is 21 a factor of (-81)/(-4) - (-12)/r?
True
Suppose 3445 = 14*v - v. Does 23 divide v?
False
Let l(c) = 46*c**2 + 2*c + 2. Let m(p) = -p**2 - p - 1. Let s(w) = l(w) + m(w). Let n be s(-1). Is 14 a factor of n + 6 + (1 - 5)?
False
Suppose 0*a = -7*a - 896. Let r = a - -256. Does 32 divide r?
True
Let d be (806/3)/2*(3 - 6). Let q = -278 - d. Does 30 divide q?
False
Suppose -2*x + 2 = 3*d, -4 - 17 = -4*d + x. Suppose 4*m = -h - 4*h + 1, -d*m + 2*h = -22. Suppose m*o + 89 = 341. Does 7 divide o?
True
Let a be 12/(-30) - (-66)/15. Is 28 a factor of 84 + -6 + 2 + a?
True
Suppose -5 - 7 = 3*s. Let h be ((-6)/s)/((-3)/(-4)). Suppose -4*n + 48 = -h*n. Is n a multiple of 24?
True
Let d = 14 + -24. Let g(o) = o + 1. Let q(u) = 14*u + 16. Let i(y) = 22*g(y) - 2*q(y). Does 26 divide i(d)?
False
Suppose 4*u + 92 = 2*v, 0*v = 4*v + 3*u - 184. Suppose 0*r = 2*r + v. Let p = r - -42. Does 14 divide p?
False
Let x = -15 - -48. Suppose 0 = 2*h - 4*a - a + 37, -40 = 2*h - 2*a. Let s = x + h. Is s a multiple of 3?
True
Let u(w) = -w + 15. Let c be u(13). Is 2 a factor of (10*c)/(29 + -27)?
True
Let w be (12/(-2))/(1*4/(-2)). Suppose 0 = 2*p - d - 64, p = w*p + 5*d - 76. Is 11 a factor of p?
True
Let d be 6/4 + (-9)/(-6). Suppose -1550 = -8*a + d*a. Is 14 a factor of a?
False
Let x = 474 - 308. Is 23 a factor of x?
False
Suppose 3*j + 5*c - 48 = 4*c, c = 0. Let n(y) = 2*y**3 + y. Let w be n(1). Suppose 3*m + 6 = 0, -m = -b + w*b - j. Is 3 a factor of b?
True
Suppose 2*x - 3*t = -21, 0 = -2*x - t - t - 26. Let j = -5 - x. Suppose 2*k - j*k = -90. Does 18 divide k?
True
Suppose -m - p = 49, -4*p = 4*m - 2*m + 88. Let s = 80 + m. Suppose s + 10 = 2*l. Is l a multiple of 3?
True
Let z = -3339 + 6569. Does 51 divide z?
False
Let q(h) = 2*h**2 + 2*h - 7. Let x = -49 + 51. Does 5 divide q(x)?
True
Let k = 1016 + -680. Does 42 divide k?
True
Let o(t) = -2*t**2 + 3*t**3 + 7*t - 4 - 3*t**3 + 0 - 2*t**3. Let v be o(-6). Suppose 116 + v = 5*y. Is y a multiple of 17?
False
Let k(m) = m - 8. Let v = -18 - -30. Is k(v) a multiple of 3?
False
Let d(a) = 3*a - 7. Let q be d(-3). Let z = 19 + q. Suppose -u - z*u = -36. Is 6 a factor of u?
False
Let p(r) = 4*r. Let h be p(1). Suppose -3*m - 63 = -4*z, 4*m + 60 = 3*z + h. Suppose -21 + 1 = -4*i + o, 0 