Let g(y) = y**3 - y + 1. Let v(t) = -3*t**3 - 11*t**2 - 12*t - 4. Let d(f) = -4*g(f) - v(f). Is d(9) a multiple of 18?
True
Suppose -5*i + 5*r = 5765, 3*r + 0 = -12. Let c = -750 - i. Is c a multiple of 11?
True
Let s be 616/(-9) + (-16)/(-36). Suppose 4*g = 2*g + 676. Let t = g + s. Is t a multiple of 18?
True
Let g = -416 + 734. Let c = -198 + g. Does 60 divide c?
True
Suppose 4*u - 1790 - 99734 = -4*k, -3*k = -4*u - 76164. Is 76 a factor of k?
True
Let g be (-8)/(-36) - 275/(-99). Is (-43 - -3)*-3 - (g + -3) a multiple of 15?
True
Suppose 5*j - 777 = 973. Suppose j - 269 = 3*h. Is 3 a factor of h?
True
Suppose 2*o - 7105 = 7*o. Let t be ((-12)/15)/(o/355 + 4). Let l = -137 + t. Is l a multiple of 38?
False
Let v = -62 + 46. Let t = v + 16. Suppose t = o + 13 - 23. Is 10 a factor of o?
True
Let s(x) = 13*x**2 + 2*x. Let z be s(5). Let b = 459 - z. Is b a multiple of 4?
True
Let g = 9973 + -3928. Is g a multiple of 39?
True
Suppose -8*h + 14 = -h. Suppose -h*o + 111 = k, -2*o = o - 15. Is 11 a factor of k?
False
Let d(h) = h**3 - 22*h**2 + 21*h + 14. Let k be d(21). Is 22 a factor of -398*(-21)/k + -2?
False
Suppose -3*h = -0*h - 156. Suppose -12*k + h = -3476. Is k a multiple of 7?
True
Suppose 5*q + 300 = 5*t, 3*q = -2*t - 3*t + 268. Let b = 53 - t. Let k(x) = -x**3 - 2*x**2 - 5. Is k(b) even?
True
Let s = 375 - 382. Is 2 a factor of ((-144)/42)/(s/49)?
True
Let f be (-21)/(-12)*(-18)/(-63)*830. Suppose -5*l = -7*n + 2*n - 415, 5*l - f = n. Is l a multiple of 5?
False
Suppose 3*g = 4 + 26. Suppose 17*r = g*r + 21. Suppose 5*z + 4*a - 2*a - 595 = 0, r*z - 357 = 4*a. Is z a multiple of 7?
True
Suppose 5*c + 633 = 2108 + 3560. Is 3 a factor of c?
False
Let j = 5788 + -2186. Does 36 divide j?
False
Let v(a) = 26*a**2 + 15*a + 213. Does 27 divide v(-7)?
False
Let v(i) = 525*i**3 - 13*i**2 + 19*i - 6. Is v(2) a multiple of 19?
True
Is (-6)/171 + (-6032386)/(-2166) a multiple of 5?
True
Suppose -9*c - 14 = -2*c. Let l(n) = -14*n + 1. Let z be l(c). Let g = 37 - z. Does 8 divide g?
True
Let g(d) = -d**3 - 4*d**2 - 3*d - 7. Let b be g(-4). Suppose -3*m - 7*m = b*m. Suppose 17*l = -m*l + 1785. Is l a multiple of 21?
True
Let c = 22705 + -16049. Does 8 divide c?
True
Suppose 0 = -2*i + 5*i - 15. Let w be (52/(-2))/(i/15) + -4. Does 13 divide w/(-8)*(-4)/(-1)?
False
Suppose 5*p - 2*p - 14 = h, 5*p + 5*h - 10 = 0. Suppose 2*a + p*q = 1004, -3*a - 2*q + q + 1516 = 0. Is a a multiple of 11?
True
Let n(t) = 516*t - 834. Is 9 a factor of n(8)?
True
Let t(m) = -m**2 - 33*m - 64. Let h be t(-43). Let d = h - -847. Is 11 a factor of d?
False
Suppose -3654*d + 3636*d = -384048. Does 56 divide d?
True
Suppose -2*r - 29*r + 217 = 0. Suppose -r*z = 25*z - 2240. Does 14 divide z?
True
Suppose -31*a - 4860 = -22*a. Let i = 553 - a. Is i a multiple of 14?
False
Let z be 1/(2/8)*17/34. Suppose 4*f - i - z*i = 1244, -933 = -3*f + 2*i. Is 31 a factor of f?
False
Suppose 0 = 431*p - 436*p. Suppose p = -f - 30*i + 27*i + 201, -10 = -5*i. Is f a multiple of 13?
True
Let f = 2564 - -5416. Does 21 divide f?
True
Let y = -64 - -58. Let c(x) = -2*x - 10. Let t be c(y). Suppose -128 - 48 = -2*i + 4*d, 0 = -t*i - 5*d + 158. Is 14 a factor of i?
True
Let m(z) = -z**2 + 13*z - 7. Suppose c - d = -3, 8 = 3*d - 7. Suppose c*x = -4*n + 30, x = -x - n + 21. Is m(x) a multiple of 2?
False
Suppose 4*j = -d + 7715, 2*j = -3*d + 7*d - 30770. Is d a multiple of 11?
False
Suppose -25035 = -3*h - 3*b, 1221*h + 33374 = 1225*h + 3*b. Is h a multiple of 156?
False
Suppose 30*o - 260200 = -70*o. Is o a multiple of 114?
False
Let d = 92 + -22. Let g = -343 - -347. Suppose g*b - d = -5*k - 7, -4*b = 3*k - 33. Is k even?
False
Suppose -47136 = 81*q - 105*q. Is 4 a factor of q?
True
Let c be (-12 + -7 + 10)*(3 + 37). Let z = 431 + c. Does 5 divide z?
False
Let r = -172 - -161. Let m(h) = -18*h - 60. Is m(r) a multiple of 5?
False
Suppose -v + n = 25, 35*n - 105 = 4*v + 32*n. Is (-50 + (3 - 4))*v/10 a multiple of 7?
False
Suppose 5*x - 5 = 2*j, -5*x + 4*x = -5*j - 24. Is 12 + 167 + (-3 - x*8) even?
True
Suppose -76*d - 10107 + 123753 = -92010. Is d a multiple of 6?
True
Suppose -9*i + 2013 + 7008 = -10563. Does 43 divide i?
False
Is 14 a factor of 8 - (34658*-1)/13?
True
Let y = 269 - 262. Let i(w) = 2*w**2 + w - 15. Does 8 divide i(y)?
False
Let z(g) = g**2 + 17*g + 136. Let y be z(22). Suppose 123*m - y = 121*m. Is 13 a factor of m?
False
Suppose 4*o + 345 = 3*s + 9*o, o = 5*s - 519. Does 3 divide s?
True
Let d = -2441 - -3108. Does 181 divide d?
False
Let q = 44 + 76. Let m = q + 100. Is m a multiple of 10?
True
Suppose 489580 - 6700 = 3*y + 37*y. Does 24 divide y?
True
Suppose -4*z + z = -3*x + 9, -4*z - 2*x = 0. Does 6 divide (1/(-5) + z)/((-76)/4180)?
True
Suppose 60795 = 60*v - 65192 + 1427. Is 4 a factor of v?
True
Suppose -18*m + 13336 - 754 = 0. Let g = m + -501. Is 7 a factor of g?
False
Let y be (-238)/(-18) - (-6)/(-27). Suppose 2*s + 0*f = f - 3, s - 5*f - 12 = 0. Let u = y - s. Is u even?
True
Let a be ((-4)/(-9))/(-2) + (-178)/9. Is 55 a factor of 170 - a*3/(-12)?
True
Is 30/50 - 174/15 - -18915 a multiple of 136?
True
Let v(l) = -8*l**3 - 3*l**2 - l + 2. Let w = -97 - -88. Let q be ((-6)/w)/(-4 - 22/(-6)). Does 5 divide v(q)?
False
Suppose -30*g + 35*g = -8640. Is 8 a factor of (g/135)/(4/(-90))?
True
Let s(j) = -7*j**3 + 5*j**2 + 2*j + 7. Let x be s(-5). Suppose -201 = 4*d - x. Let y = d - -26. Is 24 a factor of y?
False
Suppose -5*r + x = -15, 0 = -5*r - x + 11 + 4. Does 41 divide (-5)/(-5)*581 + -1 + r?
False
Let j(m) = -m**2 - 124*m + 1087. Is 180 a factor of j(-121)?
False
Suppose 2*q = -14, -3493 = 283*p - 288*p + 4*q. Is p a multiple of 7?
True
Let l = 193 - 292. Let o(p) = 9*p**2 + p - 4. Let m be o(4). Let w = m + l. Is w a multiple of 21?
False
Let w = 207 - 167. Suppose 0 = w*a - 41*a + 802. Is a a multiple of 19?
False
Let y = -888 + 2384. Suppose -183*f + y = -179*f. Is 22 a factor of f?
True
Suppose -r + 374 = -4*m - 529, -2*m + 3540 = 4*r. Let b = -394 + r. Is b a multiple of 40?
False
Let k = 190 + 2847. Is k a multiple of 7?
False
Let t = 1995 + 1647. Does 2 divide t?
True
Suppose -14*k = -5*k. Suppose -5*h + 5*y = -k*y - 300, -3*h + 176 = -2*y. Is h a multiple of 10?
False
Suppose -2*l - 4 = 0, 2*a + 3*l = -137 - 117. Let r = 348 + a. Is 28 a factor of r?
True
Let n be 6/(-3)*-13 - 4. Let d be (55/n)/((-1)/(-26)). Let h = 121 + d. Is 31 a factor of h?
True
Let y = 109 + -100. Suppose -28 = 8*p - y*p. Is p a multiple of 7?
True
Suppose 0 = 5*x - 5*z - 103170, 111*x - 113*x - 4*z + 41280 = 0. Is x a multiple of 28?
True
Let t(k) = -8*k**3 - 5*k**2 - k + 44. Is 30 a factor of t(-7)?
True
Let j = 3878 + -1810. Is 44 a factor of j?
True
Let c(s) = s**3 + 30*s**2 - 39*s + 92. Let i = 327 - 358. Does 20 divide c(i)?
True
Suppose -20*t = -14*t. Suppose -w + 5 = t, -2*w = 13*r - 16*r + 1250. Is 3 a factor of r?
True
Let o(x) = 2*x**2 + 27*x - 13. Let r be o(-14). Suppose 5*n = -3*p + 38, 2*p - 4*n + 5 - r = 0. Suppose i - 7 = -q, -3*q = -p*q + 9. Does 4 divide i?
True
Suppose -5*h - 16144 = -d, h - 64471 = 474*d - 478*d. Does 27 divide d?
True
Suppose 143801 = 3*u + 5*q, -u + 31822 = -4*q - 16140. Is 61 a factor of u?
False
Let j be -1533*1/(-3) - (-1 + -1). Let o = -9 + j. Is o a multiple of 18?
True
Let u be 8 + -1 - 2 - (3 + 1). Let i(p) = p**2 + 1. Let q(o) = -o**3 + 8*o**2 + 14*o - 4. Let m(n) = u*q(n) + 2*i(n). Does 17 divide m(8)?
True
Let z(b) = -11*b + 24. Let w = 71 - 69. Let q be (-99)/18 + 1/w. Is 12 a factor of z(q)?
False
Let z = -616 + 129. Let b = 137 - z. Is b a multiple of 39?
True
Let v(c) = 41*c**2 + 16*c - 3. Let o(n) = n**2 + n. Let l(w) = -5*o(w) + v(w). Is 80 a factor of l(-6)?
False
Let d = 61928 - -10678. Does 15 divide d?
False
Let i(d) = -d**3 - 28*d**2 + 24*d + 19. Let z be (3/((-30)/25) + 2)*58. Is 38 a factor of i(z)?
False
Let f = 4562 - 520. Does 86 divide f?
True
Suppose -874 - 2087 = -3*i. Suppose -4*d - y = -i, -6*d = -7*d - 3*y + 244. Is 13 a factor of d?
True
Let g = -33 - -37. Suppose -447 + 127 = -g*r. Suppose -2*d + r = 5*h + 10, 2*h = 4*d + 52. Is 8 a factor of h?
True
Suppose -2*k + 3*u + 12168 = 0, k = -5*u + 6196 - 86. Is 6 a factor of k?
True
Suppose 1602 = 14*a - 9906. Suppose a = 4*k - 138. Is 12 a factor of k?
True
Let y 