. Suppose r*t - 308 = 7*t. Is t a multiple of 11?
True
Let d(n) = -n**2 + 1. Let h(p) = -p**3 + 6*p**2 - p - 31. Let c(k) = -6*d(k) - h(k). Let f(a) = 12*a + 36. Let x be f(-3). Is c(x) a multiple of 25?
True
Let p = -92 + 101. Suppose -q - p*q + 420 = 0. Is q even?
True
Let d(r) = 3 + 9*r - 8 - 2 + 26*r. Let c be d(-5). Is c/(-6) - 2/6 a multiple of 6?
True
Let o = 636 + -451. Is 23 a factor of o?
False
Suppose d + b - 1 - 1 = 0, 0 = 3*d + b - 6. Suppose -2*c = -3*u - 12, 0 = -2*u - 2 - d. Suppose c*l + 2*g - 59 = 3*g, -2*g = -5*l + 97. Is l a multiple of 21?
True
Let d be (-57)/2*(-3 - 6/(-6)). Let z = d - 9. Is 12 a factor of z?
True
Let k = 2 + 0. Let x be k/(-2) - (3 - 9). Is (-156)/10*x/(-2) a multiple of 11?
False
Let z(q) = q + 5. Let j be z(-5). Suppose 3*d = 3*o - 6*o + 279, d + 4*o - 84 = j. Let n = -62 + d. Is n a multiple of 7?
False
Let q = 588 + -112. Does 5 divide q?
False
Suppose -5*f + 5 = -45. Suppose -5*s = -f*s + 570. Does 22 divide s?
False
Let s = -2 + 158. Let c = -15 - -18. Suppose -c*i = 12, -4*o + 2*i + s = i. Is 19 a factor of o?
True
Does 24 divide 93 - (-12)/(30/(-5))?
False
Is 83 a factor of (-57 - -61) + (-3573)/(-3)?
False
Let j(t) = -t - 6. Let m be j(-7). Let z(y) = 7*y - 2. Let p be z(m). Suppose -5*d = -5*a - 320, p*d = 3*a - 5*a + 299. Is d a multiple of 19?
False
Let k(r) = r + 4. Let a be k(3). Suppose -3 = 4*y - a. Is 11 a factor of (-10)/y*48/(-20)?
False
Let r(v) = 8*v**2 - 2*v + 2. Let x(l) = -l**3 - 19*l**2 - 18*l + 2. Let w be x(-18). Is 15 a factor of r(w)?
True
Let a(d) = 19*d + 30. Let v(m) = m - 2. Let h(g) = a(g) - 4*v(g). Does 38 divide h(6)?
False
Let f be (-2)/(-7) + (-2892)/28. Let b = -51 - f. Is b a multiple of 19?
False
Let w = 66 + -64. Suppose 4*j - 2 = 6. Suppose -8 = -w*y + j. Does 5 divide y?
True
Let q(h) = 10*h**2 - 2*h + 46. Is 13 a factor of q(5)?
True
Let j be (40/(-3))/((-3)/(-36)*2). Let n = 7 - j. Is 11 a factor of n?
False
Let y be -2*(-1 - (0 + 1)). Let m be (y + 1)/(7/(-14)). Is 5 a factor of (-2 + m)/((-6)/4)?
False
Let x = -324 + 425. Does 3 divide x?
False
Suppose 7*j - 5979 = -1492. Does 11 divide j?
False
Let i = 8 - 1. Let a be i/((-196)/(-24))*189. Let h = a - 50. Is 37 a factor of h?
False
Let b be (6 - -13)/(0 - 1/3). Let a = 121 + b. Is a a multiple of 8?
True
Suppose -3*q + 5*a = -22, -q + 16 = q - 2*a. Does 10 divide (3*-4)/(q/(-30))?
True
Suppose 3*c - 3*l = 3063, 3*c - 2*l = -274 + 3337. Is 61 a factor of c?
False
Let m = -1195 + 1958. Does 37 divide m?
False
Let t = -345 - -468. Does 29 divide t?
False
Let g be (-2)/((-30)/9)*5. Suppose -g*z + 18 = -0*z. Is (z/(-7))/((-14)/980) a multiple of 18?
False
Suppose i + 0*i = 240. Suppose -s = -6*s + i. Is 16 a factor of s?
True
Suppose i = -2, i + 2 + 0 = 2*b. Suppose 3*d = 4*a + 8*d - 404, b = a + 4*d - 112. Is (1 + 0)*a/3 a multiple of 9?
False
Let t(c) = -8*c - 1. Let q be t(2). Let d = 20 + q. Suppose d*y + 340 = 8*y. Is 26 a factor of y?
False
Suppose 3*y - y = -4*h + 1512, 0 = h - 2. Is y a multiple of 34?
False
Let j be (-3 + (-15)/(-6))*0. Suppose -4*x + w + 17 = j, -28 = 4*w - 8. Suppose -5*m = -2*i - 31, x*i + 9 + 5 = m. Is 2 a factor of m?
False
Suppose -3*v = -5*l + 19564, 7*l + 0*v = -v + 27400. Is 103 a factor of l?
True
Suppose -91*v = -84*v - 700. Is 20 a factor of v?
True
Suppose -q + 2006 = -3*g, -3*q = 3*g - 1333 - 4721. Is 65 a factor of q?
True
Let o = -1521 + 3122. Does 5 divide o?
False
Suppose -4*l - 4*g + 3*g + 1868 = 0, -g = 2*l - 936. Does 16 divide l?
False
Let u(d) = d + 31. Is u(7) a multiple of 38?
True
Suppose -5*l - 5*b = -2*l - 87, -99 = -4*l - b. Let a be (2 + -5)/((-3)/l). Suppose c = -2*o + 16, -5*o = 2*c - a - 10. Does 3 divide c?
True
Let f be -4 + 0 - (3 + -12). Suppose -4*j = f*m - 6, m + 11 = 5*j - 11. Suppose -3*k = j - 61. Does 5 divide k?
False
Suppose -2*v - 25 = -7*v. Suppose 2*z = -4*x + 290, -2*x - 3*x + v*z = -325. Is 6 a factor of x?
False
Is 24 a factor of -2*2*(-30)/(-80)*-384?
True
Let s(i) = -109*i + 108. Is 24 a factor of s(-3)?
False
Suppose 5*c - 8 - 2 = 0. Suppose -114 = -3*h - 0*a - c*a, 0 = -4*a. Suppose h = 3*i - 121. Is i a multiple of 14?
False
Let h(x) = x**3 - 6*x**2 - 5*x + 12. Let p be h(6). Let y = p - 16. Let m = -4 - y. Does 17 divide m?
False
Suppose 5*l + 540 = 5*f, 13*f = 8*f - 5*l + 530. Does 4 divide f?
False
Let t(v) = v**3 + 16*v**2 - 41*v + 42. Let z be t(-18). Let l = z - 106. Is 7 a factor of l?
False
Suppose 5*l + g - 3575 = 0, 5*l + 1685 = -5*g + 5280. Does 17 divide l?
True
Let w(d) = 5*d**3 - 2*d + 1. Let q be w(1). Let k be (-2*q/4)/2. Let x = k + 22. Is 6 a factor of x?
False
Let k be ((1 - 1)/(-3))/(3/(-3)). Suppose k = 4*d - 28 - 8. Is d even?
False
Suppose -4*u = -5*l - 210, 3*l + 2*u = 4*u - 128. Let c = l - -109. Is c a multiple of 12?
False
Let x(y) = 2*y**2 + 8*y + 9. Let z be x(-4). Let a(i) = 4*i**2 - 2*i - 1 + i**3 - 4*i - 6*i**2 + z*i**2. Is a(-7) a multiple of 9?
False
Let l(i) be the first derivative of 1/4*i**4 - i**2 + 7/3*i**3 - 11 + i. Is 5 a factor of l(-7)?
True
Suppose 8*z + 15 = 23*z. Let f(u) be the second derivative of 5*u**4/4 - u**2/2 - 2*u. Is 3 a factor of f(z)?
False
Let a(v) = -v**3 - v**2 + v - 11. Let n be a(0). Let r = n - -13. Suppose -57 = -3*q + 3*x, r*q - 36 = 3*x - 2*x. Is 11 a factor of q?
False
Suppose -2*f = -0*f - 32. Let v = 24 - f. Is 12 a factor of -36*(v/(-3) - -2)?
True
Is (-14 - -16)/((-1)/(-62)*4) a multiple of 31?
True
Let r(y) be the third derivative of -5*y**4/24 + 7*y**3/6 + 3*y**2. Suppose 2*f = -4*x - 30, 4*x = 4*f - f - 5. Does 16 divide r(x)?
True
Let i(x) = -15*x**3 + x**2 - 12*x - 12. Does 18 divide i(-4)?
False
Suppose -2*f + 6 = 4*g, 3*f = 2*g - 5*g. Suppose 0 = -l - g*l + 60. Is 15 a factor of l?
True
Suppose 5*h = -5*r - 0*h + 105, r - 3*h = 13. Is r a multiple of 19?
True
Suppose -93 = -54*z + 53*z. Let q = z - -117. Is 42 a factor of q?
True
Let t = 47 - 45. Suppose -t*m + 4*y = -100, -21 = -m - y + 41. Is m a multiple of 6?
False
Suppose 3*g - 1026 = -2*p - 0*p, -2*p - 2*g + 1026 = 0. Is p a multiple of 57?
True
Let a = -83 - -87. Suppose z - 208 = -s - 2*z, -3*s - a*z = -629. Is s a multiple of 15?
False
Let g(z) = 0*z - 5*z - 6*z + 6. Let r = -536 - -530. Does 18 divide g(r)?
True
Let z(h) = -49*h**2 + 28 + 102*h**2 - 54*h**2 + 21*h. Is z(12) a multiple of 25?
False
Let f(c) = 211*c**2 - 19*c + 37. Does 12 divide f(3)?
False
Let n be 1 + (4/(-4) - -3). Suppose c = -4, -n*i + c + 14 = -i. Suppose -4*m + 214 = -5*h, -5 = -m - i*h + 36. Is 15 a factor of m?
False
Let u = 4 + -4. Suppose -l + u*n = 5*n - 130, n = -5*l + 578. Does 10 divide l?
False
Suppose -2*g = 2*l - 1036, -3*l - 72*g + 71*g = -1564. Does 19 divide l?
False
Is 18 a factor of ((-84)/15)/(4 - 728/180)?
True
Suppose 5*x - 1133 = 5232. Is 67 a factor of x?
True
Let r = -5 + 11. Let h be r/2*20/15. Suppose 0 = h*l - 347 + 47. Does 25 divide l?
True
Suppose -16 = -2*c + 8. Is -2 + c + 4 - -1 a multiple of 3?
True
Suppose 5*q + 2*v = 2549, -v = -2*q + 536 + 489. Does 56 divide q?
False
Suppose -49*t - 6528 = -22698. Is 110 a factor of t?
True
Suppose l = 3*l - 12. Suppose q - l = -3. Suppose 4*j - 5*z = -q*z + 38, z - 21 = -2*j. Is 3 a factor of j?
False
Suppose -4*b + 23 = 3*r - 11, 3*r - 5*b = -2. Suppose 15*d - r*d = 1161. Is 43 a factor of d?
True
Is 1261338/429 - 4/22 a multiple of 10?
True
Let x(r) = -r**3 - 7*r**2 + 2*r + 5. Let j be x(-7). Let f be (16/5)/(j/(-135)). Suppose -f = -h - 0*h. Does 17 divide h?
False
Let v be 20/(-15)*174/(-8). Suppose -a = 4*o - 184 - v, -103 = -2*o + 3*a. Does 6 divide o?
False
Let f = 646 + -1272. Does 26 divide f/(-6) + 7/(-21)?
True
Let b(x) = -4*x - 3. Let l be b(-2). Suppose -l*f + 72 = -48. Suppose -v - f = -4*v. Is 2 a factor of v?
True
Let k(y) = -y**3 + 17*y**2 - 20*y + 40. Does 12 divide k(14)?
True
Let z(q) = q**2 - 5*q + 6. Let v(w) = -2*w**2 + 5*w - 5. Let u(s) = 2*v(s) + 3*z(s). Let i be u(-6). Suppose -i*j + 1 + 13 = 0. Is 6 a factor of j?
False
Does 31 divide (-1)/((-2)/12*21/3689)?
True
Let o = 1047 - 642. Suppose -3*g + 1215 = -5*i + 4*i, g - o = i. Is 26 a factor of g?
False
Let f = 33 - 21. Suppose l = -2*l + f. Suppose -4*k - 56 = -2*x, 0 = -2*x - l*k + 50 - 10. Does 8 divide x?
True
Let r = -6 - -9. Let g = r + 9. Is 6 a factor of (-12)/