0. Let p = q - -79. Is p a multiple of 2?
True
Let l(d) = -7*d**3 - d**2 + 3*d + 17. Suppose -13*f = 175 - 136. Is l(f) a multiple of 3?
False
Let x(k) = 2*k**3 - 16*k**2 + 22*k - 35. Let n be x(9). Suppose 3*g - 11*q = -13*q + n, -4*g + 5*q = -395. Does 21 divide g?
True
Let z(y) = -41*y - 36. Let o(m) = 80*m + 72. Let p(f) = 2*o(f) + 5*z(f). Does 28 divide p(-12)?
True
Suppose -22334 = 5*y + 23*y - 82058. Is 9 a factor of y?
True
Let z = -1053 + 8451. Does 137 divide z?
True
Suppose 427 + 347 = l. Suppose 5*m - 5*i - 2620 = 0, i + l = 2*m - 278. Is 48 a factor of m?
True
Suppose f = -0*x + 3*x - 129, 32 = x - 4*f. Suppose -3*q - x = -50. Suppose 0*b - 28 = -q*b. Does 4 divide b?
False
Let l(c) = c**3 - 8*c**2 + 9*c - 16. Let a be l(7). Let p(b) = -17. Let h(k) = -k + 34. Let d(u) = a*h(u) - 5*p(u). Is d(9) a multiple of 7?
True
Suppose -146142 = 19*w - 39*w - 26*w. Does 19 divide w?
False
Suppose 129 - 29 = 20*o. Suppose 2*r + 5*p - 20 = 0, 3*p = o*r - 22 - 59. Does 6 divide r?
False
Suppose -238545 = -169*c + 88*c. Is c a multiple of 8?
False
Suppose -5*s = 2*s + 147. Let f = 1 - s. Suppose -f = -3*z + 23. Is z a multiple of 10?
False
Let m = 8 + -1. Suppose 2*a = -5*s + 10, 4 = -4*s + 3*a - m*a. Suppose -2*j + 304 = -4*x, -s*j = -2*x - 0*x - 620. Is 39 a factor of j?
True
Suppose -x = 5, 4*m + 3*x + 5705 = 6*m. Suppose -m = -5*r - 975. Is r a multiple of 34?
True
Let x(b) = -60*b + 32. Let i(t) = 59*t - 31. Let y(w) = 6*i(w) + 5*x(w). Let u be y(7). Suppose 0*j = -2*j + u. Is j a multiple of 26?
False
Suppose -j = 2 - 12. Suppose -9*c + 4047 = j*c. Does 3 divide c?
True
Suppose -4*n + 18 = 6. Let g(q) = -13*q - 60. Let h be g(-5). Suppose 0 = 4*z + j - 286, j - 364 = -h*z + n*j. Is 18 a factor of z?
True
Let u be 14/63 - 1046/9. Let y = 69 - u. Suppose -5*w = -0*w - o - y, -3*w + 3*o = -123. Is w a multiple of 18?
True
Suppose 0 = 51*w + w + 17*w - 128547. Is w a multiple of 23?
True
Suppose 577200 = 680*a - 670*a. Suppose 66*d - a = 14*d. Is 74 a factor of d?
True
Let o(j) = -j**2 - 11*j - 26. Suppose 3*h = -6 - 6. Let p be o(h). Suppose p*b = -5*d - 0*b + 66, 4*d + 4*b - 60 = 0. Is 10 a factor of d?
False
Let c(h) = h**3 + 9*h**2 + 5. Let d be c(-9). Suppose 106 + 144 = d*t. Is 5 a factor of t?
True
Suppose -2561 = -6*o - 485. Is 30 a factor of (((-360)/16)/15)/((-3)/o)?
False
Let w(g) = 14*g + 12 - 4*g - 9*g. Let o be w(-7). Suppose 66 = o*x - 3*x. Is x a multiple of 33?
True
Suppose -4*n + 22 = 3*d + 2, -d - n = -5. Suppose 9*c - 4*c + 260 = d. Let w = 90 + c. Is 13 a factor of w?
False
Suppose -28*y = -27*y - 2*x - 11271, 2*x - 67696 = -6*y. Is y a multiple of 19?
False
Let g = 6825 - -2466. Is g a multiple of 57?
True
Suppose 3*b + 4*s = 632, 3*b - 2*s - 627 = -5*s. Let g = 348 - b. Does 9 divide g?
True
Suppose a + 2*a - 81 = 0. Let u = -21 + a. Suppose -u*b + 4*b + 152 = 0. Is b a multiple of 19?
True
Suppose 27*v - 182 = 40*v. Suppose 685 = -0*s + 5*s. Let w = v + s. Is w a multiple of 44?
False
Suppose 9*u - 9 - 27 = 0. Let r be (-111*2/u)/((-19)/152). Suppose -3*s - r = -9*s. Is s a multiple of 41?
False
Let c(s) = 12*s**3 + 51*s**2 - 364*s + 7. Does 5 divide c(9)?
True
Let u be (3/2)/((-6)/(-20)). Suppose 5*j - 4670 = -u*j. Does 18 divide j?
False
Let x = -12 + -279. Let k = 316 + x. Is k a multiple of 15?
False
Let b(c) be the third derivative of -1/3*c**3 + 19*c**2 + 0*c + 0*c**5 - 101/120*c**6 - 1/8*c**4 + 0. Is b(-1) a multiple of 34?
True
Let f(g) = 25*g**2 - 4*g + 10. Let y(v) = -v**3 - 4*v**2 - 2*v - 3. Let z be y(-4). Let i be f(z). Suppose 4*o - i + 95 = 0. Is 10 a factor of o?
True
Let v = 2029 - -9602. Does 70 divide v?
False
Let h(p) = 341*p**2 + 161*p - 132. Is h(-12) a multiple of 160?
True
Let z = 5049 + -508. Is 10 a factor of z?
False
Suppose 62*y - 6886 - 132366 = 0. Is y a multiple of 59?
False
Let h(n) = -n**3 + 19*n**2 - n + 38. Let o = 324 - 305. Is 12 a factor of h(o)?
False
Let a(k) = -12 - 3 - 4*k + 17*k + 3*k. Let v be a(-3). Is 3/v*6 - (-401)/7 a multiple of 19?
True
Let r = 337 + 581. Does 54 divide r?
True
Suppose 23*b - 18*b - 29 = -3*q, q - 2*b + 5 = 0. Suppose 2*w - q*f = 104, -164 = -2*w - f - 68. Is 3 a factor of w?
False
Let o(j) be the second derivative of 11*j**4/3 - j**3/6 + 9*j**2 + 52*j. Is 33 a factor of o(-4)?
True
Suppose 36 = -5*u - u. Let h be 2/u - 236/(-6). Suppose 5*d = -q + h, -4*d = -4 - 4. Is 8 a factor of q?
False
Let t = 8354 + -4878. Is 22 a factor of t?
True
Suppose 20 + 9 = -4*x - v, 2*v + 10 = -2*x. Let b = x - -32. Let l = 33 - b. Is l a multiple of 6?
False
Let w(k) = -k**3 - 7*k**2 - 6*k + 2. Let d be w(-6). Suppose -2*g - 272 = -3*t + 15, 2*g + 473 = 5*t. Suppose 93 + t = d*n. Is n a multiple of 12?
False
Let c = 386 - 381. Suppose 0 = -7*q + 2*q + 5*t + 6650, 0 = -3*q - c*t + 3974. Is q a multiple of 10?
False
Suppose -3*u - 3*n = 93, n = -5*u + u - 118. Let t = 35 + u. Is 21 a factor of (t - 2) + 80*1?
True
Let d(q) = -q**2 + 29*q - 88. Let n be -36*(-1 - -2 - 30/20). Is 55 a factor of d(n)?
True
Let y(v) = 6*v**2 + 3*v + 4. Let h(x) = -3*x**3 - x**2 - 2*x - 2. Let a be h(-2). Suppose -k - 3*m - a = -7*m, -1 = -2*k - m. Is y(k) a multiple of 11?
True
Let j(g) = 3*g**2 - 29*g - 4. Let z(w) = w - 1. Let c(s) = s**2 + 11*s - 15. Let l(v) = -c(v) + 3*z(v). Let a be l(-8). Is j(a) a multiple of 16?
True
Let w = 6537 + -4290. Is w a multiple of 7?
True
Let z(g) = g**3 + 3*g**2 - 5*g + 1. Let a be z(-4). Suppose a*q = q + 48. Is 16/q*-3 + 24 a multiple of 11?
False
Suppose -5*u + 10059 = r, -u + 706 = -5*r - 1285. Is u a multiple of 22?
False
Let z = 70072 - 49642. Does 90 divide z?
True
Suppose 21*f = 61155 + 67155. Is 61 a factor of f?
False
Suppose -10*a - 60 = -4*a. Let i(s) = -s + 36. Let k be i(28). Is 4 a factor of 9/((-90)/k)*a?
True
Suppose -3*z - 4*m + 410 = 0, m = -4*z - 3*m + 548. Suppose -147 = 2*o - 265 + 254. Let j = o + z. Does 3 divide j?
False
Let f(m) = -2*m**2 - 37*m - 51. Let b be f(-17). Suppose -4*l + 3*g + 1399 = b, 2*g - 682 = 3*l - 5*l. Is l a multiple of 25?
False
Suppose -12 - 114 = -2*n. Is 156/42*n/6 a multiple of 39?
True
Let m(l) = -l**3 + 18*l**2 + 23*l + 26. Let h be m(19). Is 18/((-192)/h - -2) a multiple of 4?
False
Suppose -3 = -z - 4*m - m, m = -z + 3. Suppose -z*t - 2*k = -0*t + 52, 3*t + 5*k = -67. Let p = 38 + t. Does 8 divide p?
True
Let z(f) = f**2 - 26*f - 187. Let g be z(-6). Suppose 0 = -3*i + 14*y - 10*y + 4061, 0 = g*y - 5. Does 11 divide i?
False
Let a(t) = t**2 + 20*t - 119. Is a(73) a multiple of 46?
True
Let s = 692 + -315. Suppose 3*q - 275 = 4*n, -n - s = -4*q - 6*n. Is 16 a factor of q?
False
Suppose -2*s = 5*a - 120734, -49367 - 252497 = -5*s + 2*a. Does 26 divide s?
True
Suppose 88 = -d + y, 0 = -4*d + 2*y + y - 353. Let f = d + 89. Suppose -5*b + 207 + 263 = f. Does 14 divide b?
False
Suppose -v = 1, -2*v - 2 = 3*y - 9. Suppose -o = -y*l - 3*o + 744, 744 = 3*l - o. Suppose -5*z - l = -913. Is 19 a factor of z?
True
Suppose -934*d - 29812 = -963*d. Is d a multiple of 9?
False
Let t(c) = 11*c**2 + 35*c - 324. Is t(8) a multiple of 60?
True
Let i(j) = 37*j + 5. Let s be i(43). Suppose -18*w + s = 24*w. Is 2 a factor of w?
True
Does 68 divide 2269376/224 - 6/(-7)?
True
Suppose h + x - 4775 = 0, -2087 = -h - 2*x + 2690. Is 37 a factor of h?
True
Let i(b) = 10012*b**2 + 123*b - 3. Is i(1) a multiple of 30?
False
Let r(y) = 345*y + 3005. Is r(-6) a multiple of 34?
False
Does 228 divide (238/21 - 10)/(6/86157)?
False
Suppose f + 3*o - 4 = 0, f + 3*f = -4*o + 24. Suppose -f*w + 12 = -4*w. Suppose -3*j = w*t - 115, 153 = 4*j + j - 3*t. Is j a multiple of 9?
False
Suppose 3*w - 2*a - 64154 = 0, 196*a = -5*w + 193*a + 106917. Is 8 a factor of w?
True
Suppose -51 = 7*c - 65. Suppose c*w = -d + 1340, 0 = -4*w - 2*d + d + 2684. Is w a multiple of 14?
True
Suppose -4 = 6*g - 4. Let j be -4 - (g - 0/(-4)). Does 12 divide 678/8 + j/(80/15)?
True
Suppose 2*h - 7*h = 75. Let m = 16 + h. Let o(t) = 12*t**2 + t - 2. Is o(m) a multiple of 10?
False
Let g(q) = 3*q + 0*q - 1816 + 1832 + 8*q**2. Does 59 divide g(9)?
False
Suppose 4*y - 180870 - 99807 = -5*x, 2*x = 5*y + 112218. Is x a multiple of 59?
False
Let z = 265 - 63. Suppose 3*n + z = 2413. Is n a multiple of 53?
False
Suppose -5*n = s - 6478 - 21909, -2*s + 5*n + 56699 = 0. Does