15. Let y = q + -29. Is 15 a factor of (34/4)/(y/(-4))?
False
Does 21 divide (-21)/(-2 - -4 - (-258)/(-126))?
True
Suppose 0*p + 20 = -4*k + 2*p, 5*p = 5*k + 15. Does 11 divide (k - 873)/(-8)*2/5?
True
Let n(b) = -3*b - 5. Let d be n(-4). Suppose -2*s + 183 = 3*j, d*s - 515 = 2*s + 4*j. Is 33 a factor of s?
True
Suppose -20 = -4*t, -z = -3*z + 5*t - 17. Let j(v) = 5*v**2 - 11*v. Is j(z) a multiple of 12?
True
Let l = 1710 - 657. Does 39 divide l?
True
Let o(l) = 80*l + 1016. Is o(12) a multiple of 8?
True
Suppose 0*p - 4*m = -3*p + 32, 0 = -2*p - 5*m - 17. Suppose 5*y = -p*z + 193, 0 = -2*y - y - 5*z + 108. Is y a multiple of 13?
False
Is -5 - (1*(-8)/4 - 339) a multiple of 24?
True
Let j = 5 - -1. Does 15 divide 20*1*9/j?
True
Let m(i) = 283*i - 208. Is m(4) a multiple of 22?
True
Suppose 3*j - 11*j + 40 = 0. Is 28 a factor of 6/(-15) - (-342)/j?
False
Suppose 0 = g + 5*f + 5, -5*g + 47 = -5*f + 12. Let v be -1*3 - (-10 + g). Is v*1/2 + 7 a multiple of 5?
False
Suppose 16612 = 69*t - 8504. Does 7 divide t?
True
Let y = 604 - 278. Let p(q) = q**2 - 6*q - 1. Let r be p(7). Suppose r*m + 38 = y. Does 12 divide m?
True
Let k(z) = z**3 - 4*z**2 - 7*z + 14. Let b(p) = p**2 - 4*p + 1. Let t be b(5). Does 22 divide k(t)?
True
Let c(g) = 26*g + 192. Is c(24) a multiple of 16?
True
Let c = -193 - -284. Does 65 divide c?
False
Let m(h) = -5*h**3 + 3*h**2 - 4. Does 33 divide m(-6)?
False
Is 30 a factor of -21 + 18 - -7 - -25*109?
False
Let p(m) = -m + 12. Let x be p(6). Suppose 84 = 5*q + 2*j, 3*q - 4*j - x - 60 = 0. Let u = 35 - q. Is u a multiple of 3?
False
Let d = 2121 - 1239. Does 29 divide d?
False
Does 8 divide 72 + 0 + 6/(2 - -4)?
False
Let g(r) = -2*r**2 + 3*r. Let a be g(2). Is 12 a factor of (a/(-4))/(10/300) - 3?
True
Let d(l) = 9*l + 139. Is d(13) a multiple of 16?
True
Suppose -5*b - 3*h + 772 = 0, -b + 2*h = -46 - 98. Is b a multiple of 5?
False
Let r be (-2 + (1 - -3))*1. Suppose -130 = -5*n + 3*p, -n = r*n + 2*p - 78. Suppose -b = 3*v - n, -b - 66 = -6*b + v. Is b a multiple of 12?
False
Let y(p) = 3*p**2 + 13*p. Let i be y(-4). Does 8 divide 2 + -69*i/6?
True
Let j be 174 + (17/136 - (-2)/(-16)). Let u = j + -41. Is 19 a factor of u?
True
Let q(y) = -y**3 + y**2 - y + 318. Let x be q(0). Suppose 0 = 3*f + 3*m - 318, 3*f - 6*f + m + x = 0. Is f a multiple of 53?
True
Let j(p) be the first derivative of p**3/3 + p**2/2 + 4*p - 3. Is 17 a factor of j(-6)?
True
Suppose 0 = 5*l - 566 - 2724. Suppose l = -x + 2*x. Suppose 5*o = 4*a - 519, a = -4*a - 3*o + x. Is 19 a factor of a?
False
Let z(s) = 194*s**3 + s**2 - 2. Let x = 14 + -13. Let c be z(x). Let m = c + -81. Does 15 divide m?
False
Suppose 6*l = 51*l - 277695. Is l a multiple of 30?
False
Suppose 3*t - 16 = -2*o + 6, -t - 2*o + 14 = 0. Is 2 a factor of (-1)/t + (-159)/(-12)?
False
Let a = -310 + 656. Is 28 a factor of a?
False
Let b = 1042 + -306. Does 8 divide b?
True
Let k(o) = o**2 + 3*o + 1. Let g be k(-4). Let a = g + -33. Let z = a - -34. Is z a multiple of 2?
True
Suppose 4*m - 14 = 6. Suppose 4*n - 92 = -m*h + h, 0 = 2*n + 5*h - 49. Let x = n - 12. Is 5 a factor of x?
True
Suppose -310 = 7*s - 2*s. Let o = -12 - s. Is o a multiple of 37?
False
Suppose 8 = 3*m + m. Suppose -2*n = -4*h - 20, -m*h = n + 3 - 5. Let w(l) = 3*l. Is w(n) a multiple of 6?
True
Let x = -637 - -705. Does 54 divide x?
False
Suppose -6*p - d + 2493 = -p, 2*d = -4*p + 1992. Is 12 a factor of p?
False
Let w = 97 + -93. Suppose -w*n - 390 = -6*n. Does 15 divide n?
True
Suppose 4*a = 2766 + 2978. Is 26 a factor of a?
False
Let x be 6436/10 + (-4)/(-10). Suppose -5*h + x = -46. Is 46 a factor of h?
True
Let l(t) be the first derivative of -t**2 + 6*t + 5. Is 12 a factor of l(-14)?
False
Suppose -7*i - 10689 = -28*i. Does 29 divide i?
False
Let p(y) be the first derivative of y**7/840 - y**6/60 + y**5/60 + y**4/24 - 4*y**3/3 + 1. Let b(o) be the third derivative of p(o). Does 13 divide b(6)?
True
Suppose 0 = 3*f - 1 - 8. Let w be 3/((-4)/((-16)/3)). Suppose -5*a + 171 = -3*l, -l = w*a - f*l - 138. Is 9 a factor of a?
True
Suppose 2*z + z - v = -4, 0 = z + 3*v - 12. Let b(m) = -m + 4. Does 4 divide b(z)?
True
Let f = 1 + 1. Let m(x) = -x - 9*x - 4 - f*x. Is 8 a factor of m(-3)?
True
Let t = 43 + -45. Does 20 divide (72/(-42))/(t/(-280)*-2)?
True
Suppose -b - 4*r = -4 - 7, 3*b - 4*r - 1 = 0. Let l be (-66)/(-88) - 330/(-8). Suppose 4*m - 170 = -b*t - m, l = t - 2*m. Does 28 divide t?
False
Let g(n) = 5*n**2 + 40. Is g(-8) a multiple of 12?
True
Suppose p - o - 106 = -0*p, -4*p + 418 = -2*o. Is 6 a factor of p*(-12)/(-30) - 2/10?
False
Let a(p) = -21*p**3 + p**2. Let z be a(1). Is (-5)/(z/8) + 11 a multiple of 12?
False
Does 18 divide -4 + (3 - -3417) - (-8 - -4)?
True
Let s(k) = 11*k + 13. Let z(u) = -u - 1. Let x(o) = s(o) + 3*z(o). Is x(4) a multiple of 13?
False
Suppose -3*w = 3*k - 9, -9 = -k - k + w. Suppose -z + k*m + 21 = 0, 2*z + 2*m + 3*m - 81 = 0. Does 9 divide z?
False
Suppose -16 + 4 = -6*k. Is 76 + (k/11 - (-140)/(-44)) a multiple of 15?
False
Let x(o) = -5*o**2 - 2. Let k(u) = -96*u**2 - 39. Let a(r) = 6*k(r) - 117*x(r). Let b be a(2). Does 16 divide ((-6)/9)/(-1)*b?
False
Let y = 51 - 29. Suppose 0 = q - y + 19. Let m = q - -5. Is m a multiple of 3?
False
Suppose -2*r - 2 = 2*b, -6 = -4*r + b - 0. Suppose -r = -3*p + 8. Suppose 5*t = 43 - p. Does 5 divide t?
False
Let d(a) = -77*a - 210. Let x be d(-4). Suppose -5*b + 39 = -21. Is 8 a factor of x/6 - 4/b?
True
Suppose -2*r = -4*i + 2*i - 46, 0 = 5*r + 5*i - 85. Let f = 36 + r. Does 14 divide f?
True
Suppose -2*r - 4*i = 36, 9*r + 90 = 4*r + 5*i. Let v = 217 + r. Does 13 divide v?
False
Let t(g) = 9*g - 51. Let l be t(-6). Let h = -63 - l. Does 6 divide h?
True
Let s be -1*(2 + (1 - 116)). Let h = -89 + s. Is 3 a factor of h?
True
Let q(a) = -5 + 1 - a + 66*a**2 - 62*a**2 + 11*a**3. Is q(2) a multiple of 17?
False
Let h(j) = j + 1. Let f(g) = g**3 + 7*g**2 + 6*g - 2. Let x be f(-6). Let u be h(x). Let s = 5 + u. Is 2 a factor of s?
True
Let k be (-1 + 1)*(0 - (-3)/(-9)). Suppose 490 = -k*q + 7*q. Is 14 a factor of q?
True
Let y be -40 - (0 + 1) - 3. Is y*2*12/(-8) a multiple of 22?
True
Suppose 68*z - 61408 = 28556. Is 19 a factor of z?
False
Suppose 10*s = 4480 + 2360. Is s a multiple of 9?
True
Suppose 147 = 2*g - 5*a, -3*a + 2*a = -3. Is g a multiple of 9?
True
Let v(q) = 8*q + q**2 - 14*q + q**2 + 4. Let b be (3 - -1) + -2 + 5. Does 10 divide v(b)?
True
Let j(f) = -10*f + 11. Let l(n) = n - 1. Let s(k) = j(k) + 5*l(k). Let b be s(-4). Is (6/(-12))/((-1)/b) a multiple of 13?
True
Let r(i) = i**3 + 9*i**2 - 2*i + 18. Let h be r(-9). Is ((-1)/(-5) - 6/30) + h a multiple of 6?
True
Let p = -5 + 9. Let z(h) = h**2 - 23*h + 128. Let t be z(16). Let r = p + t. Does 10 divide r?
True
Let t = -6377 + 2708. Let h be t/18 + 2/(-12). Does 17 divide h/(-8)*4/3?
True
Let x be (21 + 7)*1/(-2). Let m be x/(-4) + 6/(-12). Suppose 5*u = 4*c - 236, -m*u + u - 62 = -c. Is c a multiple of 9?
True
Let y(w) = -2*w**2 - 88*w + 12. Does 12 divide y(-31)?
False
Let k(c) = c**3 + 8*c**2 + 3*c + 16. Is k(-5) a multiple of 5?
False
Suppose 85 = 12*q - 59. Is 21 a factor of 1252/q + (-8)/(-12)?
True
Let s = 5324 - 3309. Is 13 a factor of s?
True
Let c = -3 + -1. Let u = -822 - -823. Is ((-292)/16)/(u/c) a multiple of 10?
False
Suppose 2*d + d = -9. Let v(j) = 7*j**2 - 6*j - 1. Is 15 a factor of v(d)?
False
Suppose 0 = -4*f - l + 2455, 10*f = 8*f + 5*l + 1233. Is 45 a factor of f?
False
Suppose -3*p + 3*m - 37 - 32 = 0, -46 = 2*p + m. Let j = p + 11. Let b = 28 - j. Is b a multiple of 23?
False
Let m be 2*(9 - 5) - (-1)/(-1). Let v(g) = 0 + 2 - 5 + 0*g**2 + 3*g**2 - 9*g. Is 27 a factor of v(m)?
True
Let n(w) = w**3 - 12*w**2 + 8*w + 16. Let k be n(11). Let d = k - -59. Is 14 a factor of d?
True
Let m(o) = -o**2 + 11*o - 7. Let c be m(10). Suppose -c*t - 2*t = -h + 81, -3*h - t = -291. Is 12 a factor of h?
True
Suppose j + 35 = 6*j. Suppose 80 = -j*a + 5*a. Does 18 divide 2/((a/(-284))/5)?
False
Let v be (-18)/(-99) + (-48)/22. Let k be (v - 0)/((-6)/(-21)). Let j(w) = -2*w + 7. Does 7 divide j(k)?
True
Is (96/160 - 154/(-10))*26 a multiple of 67?
False
Let b(p) = -p**3 - 5*p**2 + 9. Let s be ((-14)/6 + 3)/(2/(-18)). Is b(s) a multiple of 9?
True
Suppose -h + 3 = 2*p, -4 =