ose 8*p = 4*p. Let q = p - -6. Suppose q*d - 208 - 200 = 0. Is d a multiple of 17?
True
Let o = -11584 + 16930. Does 27 divide o?
True
Let t(j) = j**2 + 5*j + 12. Let c be t(-3). Suppose b - 2 = -5*o, 4*b - c = b - 2*o. Let v = 33 - b. Is 7 a factor of v?
False
Let o(k) = k - 22. Let p(g) = 2*g - 45. Let d(c) = 5*o(c) - 3*p(c). Is d(-5) a multiple of 5?
True
Let u be (104/(-20))/(2/(-20)). Suppose g + 17 = 20. Is u + 4 - g/(-9)*-3 a multiple of 16?
False
Let y(b) = -19*b - 14. Let z be y(-1). Suppose -z*k = -w + 135, -w + 126 = -0*w + 4*k. Is 15 a factor of w?
False
Suppose 21*f = 117112 + 53555. Is 21 a factor of f?
True
Is 7 a factor of ((-18)/(-4) - 2)*(44376/60 - -8)?
True
Let g(y) = 1917*y - 1404. Is g(3) a multiple of 63?
True
Suppose 2*o - q + 5 = 4*o, 5*o + q = 17. Suppose -5*t + 952 = o*j - 245, -4*t + 897 = 3*j. Does 10 divide j?
False
Let z(w) = w**3 + 5*w - 7. Let f be z(10). Let n = f - 517. Is 21 a factor of n?
False
Is 147 a factor of (30/(-10))/((-25)/((-20)/4))*-26215?
True
Let m = -313 + 313. Suppose 3*v + 1703 = 4*k - 82, -5*k - 3*v + 2211 = m. Does 12 divide k?
True
Let o(x) = -x**2 + 10*x + 6. Let l be o(4). Suppose l = -15*p + 16*p. Does 6 divide p?
True
Let o(b) = 74*b + 2. Let k(c) = c**3 - 2*c**2 + 8. Let z be k(0). Suppose -2*w + 19 = 3*j, j - 3 = -3*w + z. Does 25 divide o(w)?
True
Let f(j) = -j**3 - 13*j**2 + 8*j - 29. Let s be f(-14). Let a = s + -51. Suppose -a*x + 2*v + 224 = 7*v, -5*x + 3*v = -243. Does 10 divide x?
False
Let j(z) be the first derivative of -z**2 - 11*z - 32. Let m be j(3). Let o(g) = -g**3 - 19*g**2 - 35*g - 7. Is 3 a factor of o(m)?
False
Suppose 148 = -4*s + 748. Let i be 5*2/(-60) - (-1826)/12. Suppose -z - 5*g = 4*z - s, 4*z - i = 4*g. Is z a multiple of 4?
False
Let n(g) be the first derivative of 13*g**2/2 - 25*g + 37. Is 11 a factor of n(7)?
True
Let o(b) = -8*b - 41. Let l be o(-7). Suppose -10*r + l*r = 245. Is r a multiple of 27?
False
Let u(s) = 4*s + 9*s**2 - 14*s**2 - 5*s + 55*s**2. Let z be u(-1). Suppose 2*g - 155 + z = 0. Is 9 a factor of g?
False
Let a(y) = -3*y + 10*y**2 + 5*y + 5*y + 18 - 13*y. Is a(3) a multiple of 9?
True
Let f(w) = 731*w - 444. Is f(4) a multiple of 31?
True
Let y(f) = 14*f + 846. Is 85 a factor of y(-24)?
True
Suppose -2930 = -z + 3*t + 3193, -z - 5*t = -6115. Is z a multiple of 97?
False
Suppose -d + 2*d = 3*q - 9, -5*q = -3*d - 11. Is (d/2)/(12/(-116))*-10 a multiple of 5?
True
Let x(d) be the first derivative of -3/2*d**2 - 10 + 9*d. Does 7 divide x(-3)?
False
Let q = -547 + 578. Suppose -22833 = -90*w + q*w. Is 5 a factor of w?
False
Suppose -4*v - 3*c - 99 = -1058, 5*v - 1204 = -3*c. Is v even?
False
Let n = 174 + -168. Is (29/((-2030)/180))/(n/(-140)) a multiple of 15?
True
Let l = -6364 + 8147. Is l a multiple of 22?
False
Suppose 23*m + 14*m = 34*m. Suppose 9*g + 512 = a + 6*g, -4*a + 2*g + 2078 = m. Is 45 a factor of a?
False
Let x = -2217 - -4176. Does 85 divide x?
False
Let z(o) = -o**3 - 12*o**2 + 37*o - 46. Is 7 a factor of z(-17)?
True
Suppose 0 = -8*g + 4*g + 3*l + 30, -3*g - 2*l = -14. Suppose -g*w + 7*w = 70. Is w a multiple of 14?
True
Suppose 18627 + 39817 = 62*x + 7480. Is x a multiple of 8?
False
Let w be 1408/22 - 1*5. Suppose -5*o + 2*i = -306, 3*i = -5*o + i + 294. Suppose -o*s + 50 = -w*s. Does 5 divide s?
True
Suppose -d + 40 = 5*b - 9, -2*d + 91 = 3*b. Suppose -j = 5*t + 2*j - 85, -4*j + 76 = 4*t. Suppose 0 = -t*g - d + 548. Is 18 a factor of g?
True
Let m(u) = 6*u - 180. Let h(b) = 1. Let k(i) = -h(i) - m(i). Does 8 divide k(-39)?
False
Suppose -5*p = 4*q - 34, -70 = -5*p - 3*q + 8*q. Suppose 2*y + y - 288 = 0. Suppose p*i - 14*i + y = 0. Does 4 divide i?
True
Suppose 5*u - 6 = 2*h, 0*h - h = -5*u + 8. Suppose 0 = 4*q + h*q - 1920. Does 20 divide q?
True
Let h = -135 + 211. Is h/1 + (-60)/15 a multiple of 8?
True
Let c = 25139 - 21185. Is c a multiple of 13?
False
Let k(z) = z. Let a(r) = -4*r + 6. Let m(i) = -a(i) + 4*k(i). Suppose -13*v = -9*v - 32. Does 21 divide m(v)?
False
Let y(p) = -p**3 + 23*p**2 + 23*p + 32. Let l be y(24). Let x(s) = -s**3 + 5*s**2 + 39*s + 6. Is 46 a factor of x(l)?
False
Let i be (-10)/((-60)/42) - 14. Is 9 + -7 + 1171 + i a multiple of 24?
False
Let j(f) = -41*f + 6. Suppose 2*b = -2*l + 18 - 0, -l = -5*b - 39. Suppose 9 - l = z. Is j(z) a multiple of 26?
False
Let n(p) = 23*p + 10. Let c = -48 + 50. Let q be n(c). Let a = q - 0. Does 28 divide a?
True
Let b be 93/124 + (-7089)/12. Let t = 623 - b. Does 49 divide t?
False
Let d(k) = -k**2 - 24*k + 1. Let o be d(-24). Let v be (2 + 30/5)/(o*2). Suppose -v*j - 2*j + 534 = 0. Is j a multiple of 10?
False
Suppose -3176 = -5*z + 3*j, 0 = -3*z - 0*z - 4*j + 1923. Let n = z - 390. Is 30 a factor of n?
False
Let n = 719 + -714. Suppose -n*h - 15 = 0, -23*w - 3*h + 1741 = -18*w. Does 7 divide w?
True
Suppose -16*h - 525 = -21101. Let x = h + 124. Does 22 divide x?
False
Let w(n) = -232*n + 42. Let h be w(-7). Suppose o + 13*o = h. Is o a multiple of 9?
False
Let t(i) = i**2 + 9*i + 7. Let r be t(-3). Let a(q) = -q**2 - 11*q + 1. Let b be a(r). Is ((-62)/(-155))/(0 - b/(-270)) a multiple of 12?
True
Suppose 43*g + 5800 = 38*g. Let o = -644 - g. Is 43 a factor of o?
True
Let k(m) = 7*m + 6. Let q be 792/(-45) - (-1)/((-5)/2). Let x = 22 + q. Does 30 divide k(x)?
False
Suppose -5*b + 2*l + 6228 + 16957 = 0, 9250 = 2*b + 4*l. Is b a multiple of 5?
True
Suppose 3*g = -4*z - 3, 0 = z - 3*z + 4*g + 26. Let q(x) be the second derivative of x**4/3 + 7*x**2/2 - x. Does 10 divide q(z)?
False
Let f = 9963 + 6785. Does 158 divide f?
True
Let c(s) = -235*s**3 - 2*s**2 - s + 1. Let k(a) = 37*a + 9. Let o be k(-3). Let y = 101 + o. Is 15 a factor of c(y)?
False
Let q = -5474 + 7320. Is 13 a factor of q?
True
Let o(w) = 18 - 4*w - 4*w - w. Let t(f) = 2*f**2 - 15*f + 5. Let l be t(7). Is o(l) a multiple of 3?
True
Let o = 696 - -123. Suppose 3*m = -0*m + o. Let l = m + -177. Is 32 a factor of l?
True
Suppose 718*h - 735*h + 56916 = 0. Does 4 divide h?
True
Let s(v) = v**3 + v**2 + 2*v + 4. Let c be s(3). Let n = c - 146. Does 8 divide (-2140)/n - 2/5?
False
Let q(k) = k + 1. Let y be q(3). Suppose -133*v + 106*v = -1080. Suppose 0 = a + 2*a - 3, -v = -2*z + y*a. Is z a multiple of 18?
False
Let l(j) = 820*j - 8. Let n be l(1). Let f = n - 349. Is f a multiple of 20?
False
Is -158 - -151 - -1*397 a multiple of 5?
True
Let x = 48 - 47. Let i be 33/4 + x/(-4). Let a = i + 30. Is a a multiple of 4?
False
Let m(z) = 4*z - 1325 + 34*z**2 - z + 1327. Is m(-1) a multiple of 11?
True
Let y = 81 - 164. Let h = y - -88. Suppose 298 + 167 = h*p. Does 31 divide p?
True
Let c be (-3)/(-2)*20/6. Suppose -3*x + 4*b + 200 = 0, 5*x - c*b = x + 267. Suppose -72*m = -x*m - 300. Is m a multiple of 15?
True
Let b = -38 - -48. Suppose 5*x + 2*s - 63 = 0, -2*s = 5*x - b*x + 67. Suppose -5 - x = -2*i. Is 9 a factor of i?
True
Is 12 a factor of (165/35 - 4) + (-89692)/(-28)?
True
Suppose -5*t + 65 = 5*u, 1981*t - 2*u = 1979*t + 30. Let o = -914 + 1350. Suppose t*v = 10*v + o. Is v a multiple of 12?
False
Let y(i) = i**2 + 43*i - 5. Let o be y(-59). Let m = 1162 - o. Does 9 divide m?
False
Let x(q) be the first derivative of 14*q**3/3 + 3*q**2/2 + 24*q + 60. Is 30 a factor of x(6)?
False
Suppose 31 = 28*l - 25. Suppose 0 = 8*o - 4*o - l*q - 1178, -3*o = 3*q - 897. Is 15 a factor of o?
False
Let l(h) = 2*h - 3. Let m be l(-2). Let t be m/(28/(-12) + 2). Let p = -16 + t. Is 5 a factor of p?
True
Let o(j) = 7*j**2 - 12*j - 131. Is o(-28) a multiple of 6?
False
Let v(r) = 9*r**2 + 9*r - 136. Let n be v(-16). Suppose n = 5*b - 2*z, 12 - 9 = z. Is b a multiple of 20?
False
Suppose -45*c - 2*w = -43*c - 92058, 0 = 5*c - w - 230091. Does 38 divide c?
False
Let v(b) = -20 + 12*b**2 - 12*b - b**3 - 14*b + 19*b. Suppose 5*o - 69 = -4*s, 3*s + o - 3*o - 23 = 0. Is 20 a factor of v(s)?
False
Does 9 divide (-127286068)/(-6760) - ((-22)/(-40) + (-1)/4)?
False
Let f = 77 + -110. Let x = 36 + f. Suppose 217 = x*i - m, -2*i - m + 359 = 3*i. Is i a multiple of 7?
False
Suppose 4384 = 3*a - n, 1118 = 3*a + 3*n - 3262. Let u = -984 + a. Does 51 divide u?
False
Let c(z) = -266*z**3 - 11*z**2 + 23*z + 131. Is 102 a factor of c(-3)?
False
Let w(p) = p**3 + 36*p**2 + 64*p - 142. Let b be w(-34). Suppose 3*d + 10 = d. Is 