4). Let s = -15 - k. Is s a multiple of 17?
False
Let k be (1 + -1)/(-4*(-4)/(-16)). Suppose 3*q + 0*q = u - 127, k = -5*u - 4*q + 635. Does 32 divide u?
False
Suppose -40*k + 84741 = 7*k. Is 50 a factor of k?
False
Suppose 3*s = -2*s + 4*u + 48, 4*s - u = 45. Let p(h) = -6 - 15 + 5*h - 12 + 7 + h. Does 23 divide p(s)?
True
Let j(t) = -3*t - 16 - 4*t + 9*t. Let h be j(7). Is 5 a factor of 8 - (-3 + 3) - h?
True
Let i = -3 - -7. Let a = i + 0. Suppose 0 = -a*m + 267 + 29. Is 15 a factor of m?
False
Let n = 132 + -129. Suppose k + n*k + 2*u - 370 = 0, -2*u = -3*k + 267. Is k a multiple of 20?
False
Let q(k) = k + 4. Let i(l) = -6*l + 1. Let z be i(2). Let r be q(z). Let n = 16 + r. Is n a multiple of 5?
False
Let j be ((-4)/10)/(3/(-45)). Let x be 9/(-15) - j/15. Let a = 16 - x. Is 5 a factor of a?
False
Let x(v) = v**2 - 3*v - 3. Let m be x(3). Let b be 1/(-4*m/84). Suppose -b*c - 21 = -10*c. Is c a multiple of 4?
False
Let m = 4 + -9. Let n(x) = -x**2 - 5*x + 1. Let j be n(m). Let u = 19 + j. Is u a multiple of 10?
True
Is 6 a factor of 54120/429 + 4/(-26)?
True
Let s(z) = z**3 - 3*z**2 + 1. Let f be s(2). Let l(r) = -5*r + 13. Let v(m) = 8*m - 19. Let n(p) = -7*l(p) - 5*v(p). Is n(f) a multiple of 12?
False
Let d = 0 + 49. Suppose -m = 4, 8*o - m = 3*o + d. Suppose -b + w + o = -21, 0 = 2*b - 4*w - 56. Does 32 divide b?
True
Let v be ((-45)/(-20) - -2) + (-1)/4. Let b = 20 - v. Does 4 divide b?
True
Let i(b) = 0*b**3 - 20*b**2 - 7*b + 17*b**2 + b**3 + 1. Suppose -8 = -2*k + 4. Is i(k) a multiple of 19?
False
Suppose 0 = -h + 3*h - 4*c - 14, -2*c = h + 9. Let l be 6 + 175 + (1 - h). Suppose 5*i = -4*m + 121, 5*m + 5*i = l - 28. Is m a multiple of 9?
False
Suppose -3*w - 2 = 13, 2*v + 4*w - 838 = 0. Does 13 divide v?
True
Is (-37030)/(-15) - 32/(-24) a multiple of 21?
False
Let u = -22 - -12. Let v = -13 - u. Is 7 a factor of ((-24)/(-20))/(v/(-70))?
True
Let i(s) = -8*s + 2. Let p be i(-1). Suppose 2*t + p = 4*t. Suppose 0 = -t*x + 6*x - 22. Is 16 a factor of x?
False
Suppose -5*u - 900 = -5*f + 5560, 5*f - 2*u = 6451. Is f a multiple of 18?
False
Let x = 977 - 549. Suppose 4*z - 2*g - 856 = 0, 4*z + 5*g - x = 2*z. Is z a multiple of 9?
False
Let l = 78 + -77. Is 11 a factor of (27/(-15) - l)/(6/(-30))?
False
Suppose 0 = 12*q - 11*q - p - 444, 3*q - 1308 = -5*p. Is 49 a factor of q?
True
Let a = -1590 - -2411. Does 32 divide a?
False
Let a(r) = r + 0*r + 5 + 1. Let f = -95 + 95. Is a(f) a multiple of 5?
False
Let b = 1 + 2. Suppose -i - 8 = 5*d - 81, b*i = 5*d + 279. Is 17 a factor of i?
False
Is 2529/12*(-80)/(-30) a multiple of 14?
False
Let z(w) = 2*w - 30. Let r be z(13). Is 14 a factor of 1*-5*r*364/40?
True
Let f(b) = -b**2 + 12*b - 11. Let q(i) = 2*i**2 - 24*i + 21. Let r(v) = 5*f(v) + 3*q(v). Is 5 a factor of r(12)?
False
Let r = 385 - -1031. Does 28 divide r?
False
Suppose -3*d + 4*s = -5, 3*s + s + 20 = 0. Let h = d - -20. Is h even?
False
Let p(n) = 9*n + 51. Let d be p(-7). Is 24 a factor of (-4)/d*-8*-36?
True
Suppose u - 10 = -4*u. Let y(t) = 0 + 16*t + t**2 - 2*t**2 + 2 - u*t. Does 5 divide y(13)?
True
Suppose -47670 = -85*t + 15*t. Is t a multiple of 8?
False
Suppose -43*n = -42*n - 55. Suppose -5*h - n = -705. Is 14 a factor of h?
False
Let n(o) = -o**2 + 45*o - 24. Is n(9) a multiple of 25?
True
Let t be 34/(-14) - (-3)/7. Let b be (0/3)/(2/t). Suppose -h = -b - 11. Is 4 a factor of h?
False
Suppose 0 = 57*i - 71*i + 4928. Is 16 a factor of i?
True
Suppose -4*b + 36 = 2*b. Suppose -2*m - 3*g + 4 = -0, -4*g = -2*m + 4. Is 18 a factor of (-9 + b/m)*-6?
True
Let t = 1 + 0. Let g(f) = 8*f**3 + f - 1. Let v be g(t). Suppose -3*h = -v*h + 200. Does 15 divide h?
False
Suppose 2*a = 5*p + 129, p + 59 - 244 = -3*a. Let w = 26 - 48. Let z = a + w. Does 10 divide z?
True
Is ((-15)/(-10))/(12/200) a multiple of 25?
True
Let w(p) = 45*p**3 + 3*p**2 + 6*p - 16. Suppose 3*a = 5*j - 0 - 1, -4*a = 3*j - 18. Is 32 a factor of w(j)?
False
Let m = -287 + 787. Suppose 0 = -6*b + 11*b - m. Is 13 a factor of b?
False
Suppose s + 3*j - 37 = -0*s, -3*j + 149 = 5*s. Let f = 36 - s. Is 8 a factor of f?
True
Let i be 31 - 0 - (0 + 2) - -2. Let v = 41 + i. Does 18 divide v?
True
Let c be 328 + 0 + -3 + 1. Suppose 0 = -2*y + 2*p + c, p + 0*p + 649 = 4*y. Does 19 divide y?
False
Suppose 0 = o - n + 3*n - 35, -3*o + 97 = 4*n. Suppose -o*f + 138 = -24*f. Does 23 divide f?
True
Let q(i) = i**3 + 5*i**2 + 6*i + 6. Let m be q(-4). Let w(z) = -23*z**3 + z**2 - 1. Is w(m) a multiple of 32?
False
Suppose 6*f + f - 1036 = 0. Let j = f + -64. Is j a multiple of 21?
True
Let m = -33 + 29. Is (10/m)/((-2)/84) a multiple of 15?
True
Let l(s) = -s**3 - 6*s**2 - 24*s - 64. Does 18 divide l(-10)?
True
Let v(w) = -1. Let s(a) = -3*a**2 + 4*a + 1. Let m(f) = -s(f) - 2*v(f). Is m(4) a multiple of 33?
True
Does 42 divide (-45)/(1/(-5) + (-36)/(-210))?
False
Let r = -10 + 20. Is r/35 - 472/(-14) a multiple of 17?
True
Let j(f) be the first derivative of f**4/4 + 7*f**3/3 - f**2/2 - 2*f - 6. Let r be j(-7). Suppose 69 + 2 = 4*z + r*u, -3*u = 4*z - 81. Is 9 a factor of z?
False
Let t(z) = 2*z**2 - 66*z - 262. Is 2 a factor of t(40)?
True
Let h(y) = -4*y**3 + 3*y**2 - 13*y - 11. Is h(-5) a multiple of 79?
False
Let v(h) = -2*h - 35. Let p be v(-19). Suppose 0 = -5*f - p*z + 267, -55 = -0*f - f + z. Is f a multiple of 18?
True
Suppose 10*q = -8*q - 234. Let s(c) = -2*c**2 - 3*c - 3. Let n be s(-2). Does 2 divide n + 3 + 3 - q?
True
Let i(x) = -x**3 + 6*x**2 - x + 2. Let n = 19 - 7. Suppose -n*w + 8*w + 16 = 0. Is i(w) a multiple of 28?
False
Let g(l) = -l**3 - 6*l**2 - 13*l - 19. Let u be g(-8). Suppose -p + 2*c + c + 83 = 0, -p + 2*c + 83 = 0. Suppose -5*w + u = p. Is w a multiple of 6?
False
Let x(t) = -t**3 + 5*t**2 - 5*t + 3. Let m be x(4). Let g = m - -46. Let z = -12 + g. Is z a multiple of 11?
True
Is 1*(-6 + 52)*1 a multiple of 13?
False
Suppose 61*o - 14 = 54*o. Suppose -2*u - 3*u - o*v = -335, -125 = -2*u + v. Is u a multiple of 5?
True
Let q(s) = -2*s - 2. Let r be q(-7). Suppose -117 = -2*k + 5*o, -84 - r = -2*k - 2*o. Does 17 divide k?
True
Suppose 220 = 2*d - 4*l + 2*l, 0 = -3*d + 4*l + 327. Does 10 divide d?
False
Let d(h) = -7*h**3 + 3*h**2 + 5*h + 27. Is 12 a factor of d(-3)?
True
Let x = -189 + 219. Is x a multiple of 2?
True
Let s be (5 - 3)/((-4)/14). Let d be s/(7/(-3)) - -2. Suppose d*a - 84 = -19. Is 6 a factor of a?
False
Does 38 divide 170/2*(-25)/(750/(-312))?
False
Suppose -6*j + 0 - 54 = 0. Let r = j - -20. Is r a multiple of 2?
False
Suppose -1797 - 5155 = -4*p. Does 11 divide p?
True
Let i = -313 - -579. Does 33 divide i?
False
Let n = -262 + 453. Let g = n - 121. Is 11 a factor of g?
False
Suppose 2*c + 46 = -s + 2*s, 4*c - 258 = -5*s. Suppose n - s = -n - 4*u, -80 = -4*n - 4*u. Is 2 a factor of n?
False
Let f = -6 + 9. Let p = f - 28. Does 25 divide p/(2 - (-6)/(-2))?
True
Suppose 3*s - 2*x = -11, s + 0*s + x + 12 = 0. Let z = 19 - s. Does 16 divide z?
False
Suppose -w + 2*w = 151. Suppose 3*p + 0*p = 0. Suppose 5*m - 39 - w = p. Does 9 divide m?
False
Let f(t) = t**2 + 11*t + 53. Is f(-14) a multiple of 24?
False
Let x = 197 + 46. Let w = x + 37. Suppose -5*h + w = -5*j, 4*h + 4*j = 248 + 8. Does 10 divide h?
True
Let a(y) = 3*y**3 - 5*y**2 + 2*y - 6. Let f(i) = -7*i**3 + 10*i**2 - 3*i + 11. Let n(u) = -9*a(u) - 4*f(u). Does 14 divide n(4)?
False
Let i = 370 + -54. Is 6 a factor of i?
False
Suppose -4*d = 3*m + 16, m - d + 3 = 7. Suppose -4*f = -5*t + 16, m*t - 5*t - 4 = f. Suppose 2*v - 364 = -4*q, -4*v + t*v + 84 = q. Does 23 divide q?
True
Let d(a) = 2*a**3 + 8*a**2 - 8*a + 18. Let z(w) = w**3 + w + 1. Let u(q) = d(q) - z(q). Is 17 a factor of u(-9)?
True
Suppose -6*b = -9*b + 324. Suppose -r - r + b = 5*m, 3*m = 0. Is r a multiple of 4?
False
Suppose k = -2*q + 3*q, -5*k + 24 = q. Suppose -112 = -0*l - k*l. Is l a multiple of 14?
True
Suppose k - 2*d - 12 = -2*k, -2*k - 3*d = 5. Suppose -p + 31 = -4*m, 3*m + 19 = p + k*m. Is p a multiple of 5?
True
Let t(m) = 15*m**3 - 2*m**2 - m + 2. Let a be t(1). Let y(u) = 2*u - 22. Does 6 divide y(a)?
True
Let o(p) = p**2 + 12*p - 1. Let q be o(-12). Does 45 divide ((-13)/(-26))/(1030/1028 + q)?
False
Is 98 a factor of 17/(-170) + 6/40*16334?
True
Let p = 6 + 13. Let i = p + -11. Does 2 divide i?
True