 2*n - 356 = 2*n. Let s = 24 - 78. Let x = s + w. Does 12 divide x?
True
Let x(f) = -13*f - 9. Let o(s) = -6*s - 4. Let q(g) = -5*o(g) + 3*x(g). Is q(-2) even?
False
Suppose -5*z + 24 + 36 = 0. Suppose 2*k = -0 - z. Is 140/6 + k/18 a multiple of 23?
True
Suppose -20*p + 32*p - 5796 = 0. Is 7 a factor of p?
True
Is (-7 - -13 - 1457)*-1 a multiple of 11?
False
Suppose -2*g + 38 - 6 = 4*a, 0 = -3*a - 5*g + 17. Is 984/54 + (-2)/a a multiple of 9?
True
Suppose 336 = -5*w + 36. Let o(s) = -s**3 - 7*s**2 - 6*s - 5. Let k be o(-4). Let g = k - w. Is 24 a factor of g?
False
Suppose -11 + 7 = 4*a. Is (a - 2)/(24/(-1320)) a multiple of 15?
True
Let q(n) = -n**3 - 4*n**2 + 4*n. Let d be q(-6). Suppose -27 - d = 3*f. Is 8 a factor of (-97)/(-5) + 10/f?
False
Let q be (8/(-12))/((-3)/9). Suppose -7*n + 3*n - v - 34 = 0, -5*v = -q*n - 6. Let u(z) = z**3 + 9*z**2 - 4. Is u(n) a multiple of 10?
True
Suppose 0 = -4*t + 330 - 2. Suppose -2*c = -3*d - 5*c + 234, 3*c - t = -d. Is d a multiple of 13?
False
Does 42 divide (-6 - -12)*(130/4 + 2)?
False
Is 108/(-15)*(-1200)/36 a multiple of 14?
False
Let v(j) = 43*j - 98. Does 15 divide v(9)?
False
Suppose -u - 1 = -8. Suppose -3 = w + u*t - 3*t, 5*w - 5*t = 35. Let k = w - 2. Does 3 divide k?
True
Does 9 divide (60/16)/((-19)/(-380))?
False
Suppose 648 = 47*s - 41*s. Is s a multiple of 6?
True
Suppose -4*z + 18 + 5 = -5*h, -5*h - 26 = -3*z. Let q(n) = 4*n**2 + n - 12. Let x be q(h). Suppose 4*v = -49 + x. Is v a multiple of 16?
True
Let l be 1 - ((-12)/(-4))/(-3). Let t be (-1)/l + 9/2. Suppose t*u + 17 = 153. Is u a multiple of 17?
True
Suppose -2*d = 2*o - 336, 132 = o + 4*d - 21. Suppose 2*y = o + 167. Is y a multiple of 15?
False
Suppose 0*m = -4*m + 416. Is 20 a factor of m?
False
Let o = -18 + 13. Let g = 5 + o. Is (3 - 10)/(-1) - g even?
False
Suppose -37*n + 122990 = 2851. Is n a multiple of 12?
False
Let k = -1649 - -2477. Does 12 divide k?
True
Suppose 27*q = 32*q - 495. Is q a multiple of 6?
False
Suppose 2*g + 0 = 12. Suppose g*w = -b + 2*w + 29, -3*b + w = -22. Is 9 a factor of b?
True
Suppose -49*g + 3785 = -50899. Is 12 a factor of g?
True
Suppose 3*h = -14*h + 323. Is 3 a factor of h?
False
Let n = 1 - -79. Let d = n + -203. Let b = 174 + d. Does 17 divide b?
True
Let c = 147 - 147. Suppose -4*d + 2 - 6 = c, -4*g - 4*d + 164 = 0. Does 14 divide g?
True
Suppose 4*a + 9*a - a = 0. Suppose a = 11*g - 0*g - 143. Does 5 divide g?
False
Let v(i) be the second derivative of i**5/12 + i**4/8 + i**3/3 + 5*i**2/2 + 3*i. Let t(c) be the first derivative of v(c). Does 9 divide t(-3)?
False
Let y(t) = t**3 - 19*t**2 + 33*t + 12. Let f be y(17). Is 29 a factor of f/(-1)*((-2)/(-1) + 56)?
True
Suppose 3*v = -3*p + 12, 2*v = -p + 3*v. Does 7 divide ((-77)/(-88) - p/(-16)) + 19?
False
Suppose -404 - 103 = -3*w. Is w a multiple of 5?
False
Suppose -2*a - 4*k = -116, 2*a - 2*k = 56 + 72. Is 29 a factor of a?
False
Let j = 344 - 232. Suppose 0 = 4*x + 16 - j. Let n = x - 15. Does 4 divide n?
False
Suppose 11 = 4*b - 3*s, 0 = 2*b + 5*s - 35 + 10. Does 3 divide b?
False
Let f be (1/2*1)/(2/(-852)). Let u = -94 - f. Is 17 a factor of u?
True
Let x be 4/6 + 247/57. Suppose 3*c + 145 = -5*i, -3*i + 87 = -6*i + x*c. Let f = i - -101. Is f a multiple of 18?
True
Let b(j) = -j**2 + 9*j + 3. Let t be b(9). Suppose t*s - 10 = s, -u - s = -11. Does 3 divide u?
True
Let g(u) be the first derivative of u**3/3 + 3*u**2/2 + 2*u + 1. Let t be g(-2). Suppose 3*k - 3*x - 135 = 0, 2*k = -t*x - x + 84. Is 18 a factor of k?
False
Let p(t) = 33*t - 39. Let g(x) = -32*x + 40. Let y(o) = 5*g(o) + 6*p(o). Is y(5) a multiple of 39?
True
Let x = 2403 - 646. Is x a multiple of 36?
False
Is 65 a factor of -9 + (5 - (-3254)/1)?
True
Let s(g) = -g**3 - 5*g**2 + 5*g - 6. Let j be s(-6). Suppose -15 = -3*v + 3*c, j*c = v + 3*c - 1. Suppose 0 = -v*o + 2*f + 118, -2*f = -0 - 2. Does 7 divide o?
False
Suppose 0 = -2*r + r + 111. Is 27 a factor of r/1 - (2 + 1)?
True
Suppose -72 - 126 = -11*r. Let b(a) = -a**3 + 18*a**2 + a + 37. Does 11 divide b(r)?
True
Suppose d + 4 = -35. Let c = 55 + d. Is 2 a factor of c - (2 - 3 - -3)?
True
Suppose 150 = -t + 4*t. Let s be t - (-2 - (-1)/1). Is s - ((-8)/(-2) - 1) a multiple of 16?
True
Let j be -57*6/(-9) - -4. Let n = j + -10. Suppose 2*y + n = 4*a, -a = y - 5*y - 22. Does 5 divide a?
False
Suppose 2514 - 5754 = -3*h. Is h a multiple of 36?
True
Let i(z) = 4*z**2 - 17*z - 3. Is i(-7) a multiple of 4?
True
Let g(r) = r**3 + 23*r**2 + 20*r - 6. Is 19 a factor of g(-22)?
True
Suppose 17 = p + 5*v, 15 = -v + 6*v. Suppose 4*m = o - m + 12, -m + p = 0. Does 11 divide (-22)/(-1*(-1)/o)?
True
Let h be -30*((-3)/2)/3. Suppose 3*g + h = -0. Let i = g + 20. Is i a multiple of 10?
False
Let h = -74 + 50. Does 23 divide (-2199)/(-12) + (-18)/h?
True
Suppose -83*z + 1880 = -73*z. Is 6 a factor of z?
False
Is (-23)/((5 + 1)/(-30)) - 2 a multiple of 16?
False
Suppose 3*f + 3*o = -6, 0 = f - 5*f - 2*o - 6. Is 25 a factor of ((-3)/f)/(4/100)?
True
Let q be 0 + 2 - (-2 - -14). Let o be -1 - -2 - (q - -8). Suppose -5*x = 5*c - 45, -3*x + o*c + 37 = 2*x. Is 4 a factor of x?
True
Suppose 0 = 2*n + 2*n - 1392. Does 29 divide n?
True
Suppose -671 = -m + 3*r, -2*m = -r - 313 - 1044. Is 17 a factor of m?
True
Suppose -2*b + 5*n + 343 = 0, -n - 1 - 4 = 0. Suppose 0 = -4*l + 783 - b. Is 26 a factor of l?
True
Suppose 5*p + 3*x - 3 = 0, 4*x - 4 = -4*p + 6*p. Suppose -4*l - q = 73, -l - q + 3*q - 25 = p. Let k = -17 - l. Is k even?
True
Let a = 4223 + -707. Is a a multiple of 73?
False
Let p be 0/((-6)/(6/(-3)) + -4). Suppose -2*k + 2 = -p, -f + 83 = -4*k. Is 23 a factor of f?
False
Suppose -4*x - 6 = -2. Let a = 6 + x. Suppose -8 = 4*u, 5*s - a*u - 240 - 75 = 0. Is 18 a factor of s?
False
Let w(o) = 1 + 2*o**2 - 4*o**2 - 24*o + 25*o + 25*o**3. Is 18 a factor of w(1)?
False
Let r = -105 + 167. Does 9 divide r?
False
Let l(r) = 21*r**3 + r**2 - 1. Suppose 3*b - 7 - 5 = 0. Let t be (-4)/16 + 5/b. Is 7 a factor of l(t)?
True
Let s = -477 - -777. Is s a multiple of 75?
True
Suppose -t - 2*l = -26, t - 5*t = 5*l - 107. Let p = 33 - t. Suppose 0 = p*g - 199 - 226. Is g a multiple of 20?
False
Is (-93)/(((-54)/(-834))/(-3)) a multiple of 139?
True
Suppose o = -3*u + 134 + 1028, 0 = -u - 2*o + 384. Suppose 5*v + u = -2*z + 6*z, 5*z - 2*v = 468. Is z a multiple of 40?
False
Let a = 1088 + -1528. Let x = -295 - a. Is 29 a factor of x?
True
Let d(v) = v**3 - 36*v**2 - 4*v + 99. Is 33 a factor of d(37)?
True
Suppose 0 = i - 2*s + 12, i - 2 = 3*s - 17. Let f = 9 + i. Suppose -3*m - 5*t + 55 = 0, -32 = -4*m + f*t + 51. Does 20 divide m?
True
Let v = 24 - 22. Suppose 20 = 2*k - 7*k, 0 = -v*z - k + 44. Is z a multiple of 8?
True
Let b(a) = a**2 - 1. Let k be b(-2). Suppose k*t - 482 = t. Does 11 divide t?
False
Let i = 197 + -117. Suppose -i = 7*n - 2*n. Is 5 a factor of ((-4)/n)/(4/592)?
False
Let f be (20/6)/(4/6). Suppose -3*z = -5*j + 5 + f, -2*z = 3*j - 6. Suppose 0 = -j*a + n + 32, 0*n = 2*n - 4. Is 17 a factor of a?
True
Suppose -7*n - 15 = -1. Is 4 - (n + 8) - 71*-2 a multiple of 11?
False
Suppose q + 3*o - 30 = 6*q, 31 = -4*q + o. Is (q/6)/(9/(-444)) a multiple of 28?
False
Suppose 0 = 5*b - y - 745, 2*b + 4 = -3*y + 319. Is b a multiple of 3?
True
Let c(d) = -3*d - 3. Let j be c(-3). Let o be (72/24)/((-1)/(-3)). Suppose -j*i + o*i = 138. Is i a multiple of 23?
True
Suppose -5*r + 6 = -t + 21, -5*t - 4*r = 12. Suppose n + 12 = -t. Let l = n - -96. Does 21 divide l?
True
Suppose -10*z + 4*o - 3000 = -14*z, -3*o = -4*z + 2993. Is z a multiple of 33?
False
Suppose v = t + 7, -2*v - 4*t = -8*t - 24. Suppose v*s - 9 = 15. Is s a multiple of 4?
True
Let r be -3 + (51 - -1 - 0/(-23)). Suppose -3*y - z + 3 = -11, 3 = -4*y + 3*z. Suppose -5*m = d - r, 3*d - 92 + 5 = -y*m. Does 4 divide d?
True
Let x(a) be the third derivative of -a**5/60 - 5*a**4/12 - a**3/6 - 4*a**2. Let s be x(-10). Is 31 + (1 - s) + -1 a multiple of 16?
True
Let m(g) = g**2 - 6*g + 7. Let c be m(5). Suppose 5*j - c*j - 18 = 0. Is 6/(2 - 3/j) even?
True
Let m be (3*8/3)/2. Suppose 2*s + 2*s = -2*o - 14, -3*s - m*o = 13. Is 9 a factor of (s/(-4))/(1/40)?
False
Let n(u) = -2*u**2 - 19*u + 8. Let k(r) = 3*r**2 + 37*r - 15. Let q(o) = 3*k(o) + 5*n(o). Does 8 divide q(10)?
False
Let q = -12