- 4*y + 145, j + 4*y - 28 = 0. Suppose -5*f + j + 30 = 0. Suppose -i + f = -2*g, 0 = -0*i - 4*i - 2*g + 76. Is i a multiple of 9?
True
Suppose -8 = 2*g + 2*c, -4*g - 12 = -3*g - c. Let r(a) = -2*a + 3. Is r(g) a multiple of 7?
False
Let i be (-50)/18 + (-4)/18. Let u = i - -6. Suppose u*q = 2*q + 6. Is 6 a factor of q?
True
Let m = 57 + -39. Is m a multiple of 6?
True
Let t = 18 + -11. Let c(f) = -f**2 + 10*f - 3. Let g be c(t). Suppose -12 = -3*a + g. Is 7 a factor of a?
False
Suppose -h - 9 = -4*h. Let l = h + -2. Does 12 divide (0 - l)/(3/(-63))?
False
Suppose 0*a - 4*l + 21 = 3*a, a = -l + 7. Is 7 a factor of a?
True
Let z(l) = 8*l. Is 16 a factor of z(2)?
True
Let q(w) = -15*w - 2. Let t(k) = -2*k**3 + 2*k**2 + 2*k. Let y be t(2). Let v be 3*-1*y/(-6). Does 15 divide q(v)?
False
Let r = -52 - -100. Is r a multiple of 16?
True
Suppose 5*n + 904 = 13*n. Is 58 a factor of n?
False
Let w be (-196)/(-1 - (0 - 0)). Suppose 5*j - w = -26. Does 17 divide j?
True
Let n = 8 + -11. Let g be ((-1)/n)/((-1)/(-6)). Let v(x) = x**2 + 2*x - 1. Does 7 divide v(g)?
True
Let b(v) = -v**2 - 7*v - 6. Let c be b(-7). Let z be 2/c - 798/(-18). Suppose -5*w = 14 - z. Is 3 a factor of w?
True
Suppose -5*s + 117 = -73. Does 19 divide s?
True
Let x = -43 + 126. Is x a multiple of 15?
False
Let o(s) = -2*s**2 - 9*s - 1. Let g(c) = c**2 + 5*c + 1. Let z(n) = 13*g(n) + 6*o(n). Let u be z(-5). Let t = u + 51. Is t a multiple of 14?
True
Let c(z) = -z**2 + 6*z + 5. Suppose 0 = -0*u - u + 5, l = 5*u - 32. Let d = l + 13. Is c(d) a multiple of 3?
False
Suppose 3*i = -2*i - 4*q - 750, q = -i - 149. Is 4 a factor of (-4)/6 - i/6?
False
Suppose -7*n = -8*n + 58. Let u = n + -38. Is u a multiple of 10?
True
Suppose 3*x - 33 = -c, 0 = x + 3*c - 3 - 16. Let u = x + 1. Is 11 a factor of u?
True
Let i(f) = -f**2 + 9*f + 1. Let d(l) be the first derivative of -2*l**3/3 + 9*l**2 + 3*l - 3. Let h(y) = 4*d(y) - 7*i(y). Does 12 divide h(7)?
False
Suppose -6*x - 357 = -7*x. Is 51 a factor of x?
True
Let t(l) = -6*l - 10. Let v be (-12)/(3/6 + 1). Let s be t(v). Suppose -5*p + 152 = -s. Is p a multiple of 14?
False
Let l(d) = 8*d + 23. Does 7 divide l(10)?
False
Does 3 divide (-1 - 16/(-4)) + 9?
True
Let k = 7 + -2. Suppose 23 + 5 = 5*l - v, -5*v = k*l - 10. Is 5 a factor of l?
True
Let d be (-11 + 7)/((-2)/(-74)). Let i = -86 - d. Does 26 divide i?
False
Let l be 39/9 - 1/3. Let f(c) = -c - l*c + 4*c + 10. Is f(5) a multiple of 4?
False
Let a = -30 + 740. Suppose -a + 107 = -3*d. Suppose -5*o + 37 = 4*t - d, -5*t - o = -308. Does 23 divide t?
False
Let b = -15 + 47. Suppose 34 = 3*s - b. Is s a multiple of 15?
False
Let l(w) = 6*w - 12. Is l(8) a multiple of 18?
True
Suppose 0 = g - 2*s - 4, -5*g + 5 + 2 = 3*s. Let l = 26 - g. Does 8 divide l?
True
Let v = 3 - -1. Let x = v + -1. Suppose 0 = 3*y + 9, y + 2*y = x*p - 63. Is p a multiple of 9?
True
Suppose 5*k + 8 = -0*s + s, 3*s + 3*k - 6 = 0. Suppose 0 = -2*c + s*c + y - 26, -c + 41 = 4*y. Is 21 a factor of c?
True
Let l(m) = m + 1. Let o be l(8). Let u be 47/(-9) - (-2)/o. Let v(p) = -p**2 - 6*p + 2. Is 7 a factor of v(u)?
True
Suppose 4*g = -d - 20, -3*g - 2*g + 128 = -3*d. Let x = 54 + d. Let k = -2 + x. Is 10 a factor of k?
False
Let g be 10 + -2 + (4 - 0). Let c = g + 8. Is c a multiple of 5?
True
Let c = 125 + -33. Does 23 divide c?
True
Suppose -3*m + 24 = m. Let l be ((-8)/m)/((-10)/(-15)). Is l/(-5) + 266/10 a multiple of 11?
False
Let d(z) = 4*z - 1. Let r be d(1). Suppose -21 = j + 5*f, r*j + f + 35 = -0*f. Let c = 31 - j. Is c a multiple of 15?
False
Let v(z) = 3*z**3 - 6*z**2 - 2*z + 9. Is v(4) a multiple of 19?
False
Let k = 6 + -4. Suppose u + 29 = 5*j + k*u, -20 = -5*u. Suppose 2*v - 3*n = 38 - 9, -j*v + 3*n = -77. Does 16 divide v?
True
Does 9 divide 1/((-2)/(-32)) - -2?
True
Let z(l) = -l**2 - 12*l + 10. Is 11 a factor of z(-11)?
False
Let z be (0/2)/(0 + -2). Suppose 2*i + y - 33 + 2 = z, 5*i = -2*y + 80. Is 12/i - 350/(-6) a multiple of 23?
False
Is -2 + -5 - -2 - -9 a multiple of 2?
True
Let r(i) = 16*i**3 - i. Is r(1) a multiple of 2?
False
Let x(r) = -r**2 + 18*r - 4. Let t be x(13). Let u = t - 37. Does 12 divide u?
True
Let t = -3 + 2. Let i be (-2)/4*t*26. Suppose -m + 37 = -i. Is m a multiple of 15?
False
Let c be (-137)/5 - (-2)/5. Let n = -19 - c. Is 4 a factor of n?
True
Let g(b) = 13*b**3 - b**2 - 2*b - 1. Let y be g(-1). Let w = y - -16. Is 3 a factor of w?
True
Suppose 2*r + 100 = -2*r. Let p = r - -44. Is p a multiple of 19?
True
Suppose -l = 4*l - 160. Suppose 11 = 3*w + 2. Suppose 139 = 4*y - 3*z, -y - w*z = -l + 1. Is 17 a factor of y?
True
Let q = 5 - 4. Suppose q = g - 2. Suppose -4*v - 4 = 0, u - 4*u - g*v = -39. Does 9 divide u?
False
Suppose 4*q + 45 = 9*q. Is (12/q)/(4/6) a multiple of 2?
True
Suppose l + 3*o = 5*l - 29, 0 = 2*l - 5*o - 25. Suppose -59 = -l*u + 26. Does 17 divide u?
True
Is 12 a factor of (-18)/(-8)*400/30?
False
Suppose 0 = -4*j - 20, 4*j - 125 = -5*t - j. Is t a multiple of 10?
True
Suppose -u - 2 + 3 = -3*f, -2*u - 3*f + 29 = 0. Is u a multiple of 5?
True
Suppose 2*o = 3 + 5. Suppose -n = -4*n + 30. Is 15 a factor of (n/o)/(2/12)?
True
Suppose 0 = -3*k + 2*q + 22 + 11, 0 = 3*k + 2*q - 21. Let o(d) = d**3 - 10*d**2 + 9*d + 3. Is o(k) even?
False
Suppose -7*c + 2*c + 150 = -2*a, 4*a + 90 = 3*c. Is c a multiple of 15?
True
Let p(o) = -o**2 - 20*o - 15. Is 14 a factor of p(-11)?
True
Let q = -57 + 108. Suppose -4*x + q = -1. Is x a multiple of 3?
False
Let n(t) = t**3 - 14*t**2 - 11*t - 32. Does 7 divide n(15)?
True
Let q(v) = -v**2 + 18*v + 62. Is 6 a factor of q(16)?
False
Suppose 3*y - 5 - 1 = 0. Suppose 0 = y*v - 4*v. Does 12 divide 3*(v - 40/(-6))?
False
Is 4 a factor of (-2)/14 - 250/(-35)?
False
Is 18 a factor of (0 + (-76)/(-8))*2?
False
Suppose -2*b + 4*w = -10, 5*b - 11 = 4*w + 8. Suppose b*g - 5 = x, -g - 2*g = 4*x - 10. Is 14/4*g/1 a multiple of 3?
False
Let h be ((-6)/8)/((-4)/(-16)). Does 12 divide 9 + (-3 + 2)*h?
True
Is 22 a factor of 34/(-85) + 1104/10?
True
Suppose -3*u + 3 = -2*u. Suppose -4*h = -u*h - 15. Is -45*(-3 - (-36)/h) a multiple of 9?
True
Let u = 105 - 49. Is (u/16)/((-1)/(-6)) a multiple of 7?
True
Let m(q) = q**2 + 9*q + 11. Let a be m(-8). Suppose 0 = -5*x + 5*f + 145, -4*x - 2*f + a*f + 116 = 0. Is x a multiple of 12?
False
Suppose 5*i - 56 = -11. Suppose -2*y - y = -i. Suppose -y*p + 57 = -0*p. Does 9 divide p?
False
Suppose 0*r - 36 = 4*r - 4*d, 5*r = 3*d - 41. Let t = r + 4. Does 15 divide (-26)/t*6/2?
False
Let o = 136 + 34. Is 34 a factor of o?
True
Let i(p) = -p**2 - 3*p + 2. Let g(k) = -3*k**2 - 5*k + 4. Let b(m) = -2*g(m) + 5*i(m). Let r be b(2). Is 4 a factor of 48/(-9)*6/r?
True
Let k = 78 - 44. Let x = k - 25. Does 4 divide x?
False
Suppose 0 = -3*c - 6*k + 2*k - 35, -2*c - 4*k - 18 = 0. Let j = c + 24. Is 3 a factor of j?
False
Suppose -5*j - 2*i + 504 = 0, 3*j + 2*i - 294 = -2*i. Is j a multiple of 34?
True
Let y(v) = v**2 - v + 5. Let b be y(0). Suppose 0 = -3*j + 5*j - x - 8, 2*x + 4 = j. Suppose b*t + j*w - 166 = 0, 0*w = 4*t - w - 116. Is 23 a factor of t?
False
Suppose -8*s + 413 = -3*s + 4*x, -5*s + 5*x = -395. Is s a multiple of 27?
True
Suppose z = -0*z - 5*u + 167, 0 = -4*z + u + 605. Is z a multiple of 19?
True
Let v = -104 - -67. Let l = v - -66. Suppose 5*h - 41 - l = 0. Does 11 divide h?
False
Suppose -2*x - l = -100, 228 = 5*x + l - 25. Does 17 divide x?
True
Let n = -11 + 8. Let p(w) = 3*w**2 + 5*w + 2. Is p(n) a multiple of 14?
True
Suppose -3*n + 3*m = -8 - 7, -5*m = n + 13. Does 7 divide ((-32)/2)/(-3 + n)?
False
Suppose -5*f + 5*p + 20 = 0, -f - 2*f = 2*p - 22. Is f a multiple of 3?
True
Let z(q) be the first derivative of -q**4/4 - 5*q**3/3 - 5*q**2/2 + 7*q - 2. Is 15 a factor of z(-5)?
False
Suppose 2*x = 4*l - 11 - 35, -4*x - 47 = -3*l. Is 3 a factor of l?
True
Let w be (-4)/16 - 7/4. Let v = 0 + w. Let k = 22 + v. Is k a multiple of 17?
False
Suppose 4*b + 4*m + m + 22 = 0, -5*b - m = 17. Does 10 divide (b*10)/(-4 + 3)?
True
Let x = -251 + 419. Is 21 a factor of x?
True
Let x(r) = -r + 4. Is x(0) a multiple of 3?
False
Let y(n) = -40*n + 2. Is y(-2) a multiple of 32?
False
Suppose -8 = -5*z + 127. Is 9 a factor of z?
True
Let g = -9 - -54. Is 9 a factor of g?
True
Suppose -3*h - 75 = -2*n + 99, 100 = n +