e
Let q(x) = 4*x - 6. Does 10 divide q(9)?
True
Let r(z) = -15*z - 9. Is r(-3) a multiple of 9?
True
Suppose 5*x - 103 - 17 = 0. Is x a multiple of 16?
False
Let g = -35 + 91. Is 12 a factor of g?
False
Let s(n) = 10*n - 15. Is 6 a factor of s(6)?
False
Let v(s) = s + 10. Let d be v(-7). Suppose a = d*u + 2*u, 0 = -2*a + u. Suppose a = -2*q - 3*q + 60. Does 5 divide q?
False
Let y = -41 + 143. Suppose 3*w = -2*r + y, -r - w = -0*w - 49. Does 15 divide r?
True
Suppose -3*i - 3*c = -294, -c + 484 = 5*i + c. Suppose 2*y - 6*y = -i. Is 8 a factor of y?
True
Suppose -7 = 3*c - 0*q - 2*q, 4*c + 7 = 5*q. Let y be 15/9 + 2/c. Suppose 2*i = 5*v - 83, v + 2*i - 6 = y. Does 9 divide v?
False
Suppose -5*a + 42 + 108 = 0. Does 11 divide a?
False
Let h = -484 - -709. Is 10 a factor of h?
False
Suppose -14 + 62 = -4*i. Let x = 28 + i. Does 7 divide x?
False
Let n = 9 - 0. Is 2 a factor of n?
False
Let n = -116 - -180. Does 27 divide n?
False
Let v(h) = -h**3 + 5*h**2 + 3*h - 3. Is 12 a factor of v(5)?
True
Let t = -350 + 228. Let u = 178 + t. Does 21 divide u?
False
Suppose 20 = -3*y - y, -z = y + 33. Is 7 a factor of (z/(-10))/((-36)/(-90))?
True
Let s(m) = -m**2 - 2*m + 2*m**2 - 6 - 2*m + 0*m**2. Is s(6) a multiple of 3?
True
Suppose -l + 10 = -5. Suppose 4*v - 4*m = -v + 60, 3*m = -l. Suppose -4*o = -3*p + 8 - 3, p + 5*o - v = 0. Is p a multiple of 2?
False
Let x = 6 + -4. Is 4 a factor of 150/22 + x/11?
False
Let s(o) = -2*o - 6. Let w be s(-4). Suppose -4 = -2*p + w. Does 9 divide (-8)/((-1)/p + 0)?
False
Let t = 23 - 10. Let n(m) = m**2 - 12*m - 4. Does 9 divide n(t)?
True
Does 6 divide 101/3 + (42/(-9) - -4)?
False
Suppose -144 = -18*p + 15*p. Is 8 a factor of p?
True
Is (275/10)/(-11)*68/(-5) a multiple of 34?
True
Let s = -2 - -6. Suppose -s*i + 21 = -47. Is i a multiple of 17?
True
Let h = -12 - -19. Suppose h = w - 1. Is 8 a factor of w?
True
Let k = 26 + -2. Is k a multiple of 17?
False
Suppose 2*f - 3 + 1 = -2*j, -2*f - 1 = j. Suppose b + 5*s - 95 = 0, 70 - 375 = -j*b - 5*s. Let h = b - 63. Does 21 divide h?
True
Let j(i) = 4*i + 4. Let m be j(-4). Is ((-27)/(-3))/3 - m a multiple of 15?
True
Suppose 3*w + 5*s - 101 = 0, -w + s - 33 = -2*w. Let z = w + -10. Is z a multiple of 6?
False
Let z be 20/(-170) + (-200)/34. Let l = 14 + z. Is 7 a factor of l?
False
Let h(z) = 3*z**2 - 3*z + 3. Suppose 0 = 3*t - 4 - 2. Is 9 a factor of h(t)?
True
Let y = 7 + -5. Suppose -y*f + 3*f - 4881 = -5*n, 4*n + 5*f = 3909. Is n/24 + 1/3 a multiple of 15?
False
Let x(s) = 2*s + 19. Let n be x(-13). Let q = 9 + n. Suppose -q*g + 0*g = -52. Is g a multiple of 14?
False
Suppose 2*r = -3*r + 480. Is r a multiple of 16?
True
Suppose 5*m - 3*j - 175 = 2*j, 66 = 2*m - 4*j. Let b = -13 + m. Is 8 a factor of b?
True
Suppose a + 15 = 6*a. Let q = 102 - 48. Suppose a*x = -0*x + q. Does 7 divide x?
False
Let d = 1 - -8. Let w be (-28 - 0)*d/(-36). Suppose w*l = 2*l + 230. Does 23 divide l?
True
Suppose -u + 3*y + 433 = 4*u, -348 = -4*u + 4*y. Does 15 divide u?
False
Let d be (-70)/(-5) + (-2)/1. Let q be (15/(-2))/((-2)/(-12)). Does 11 divide (-3)/d - q/4?
True
Let y = 31 + -21. Is y a multiple of 4?
False
Let l be (16/10)/(10/25). Is 0 + (-40)/(3 - l) a multiple of 27?
False
Let s(m) = m**3 - 5*m**2 - 7*m + 6. Is s(7) a multiple of 12?
False
Is 14 a factor of (189/(-18))/(3/(-28))?
True
Let j = 37 + -26. Is j a multiple of 4?
False
Suppose 0 = 2*v - 0*v. Suppose -5*g = -15 - v. Suppose 2*x - 35 = g*o, 5*x + 4*o - 76 = -0*x. Is 5 a factor of x?
False
Suppose 0 = 2*a + c + 71, -4*c + 33 = -4*a - 91. Let z = 136 + a. Let n = z + -67. Is n a multiple of 14?
False
Suppose -5*x + 5*o = -2*x - 117, -o - 105 = -3*x. Is x a multiple of 8?
False
Let l(x) be the first derivative of 2*x**3 - 1 - 3/2*x**2 - 1/4*x**4 + 0*x. Is l(5) a multiple of 4?
False
Let m = -32 - -43. Is 2 a factor of m?
False
Let x(c) = -c**3 + 4. Suppose 2*w = 3*w. Let q be x(w). Suppose 5*p = 2*z - 88, z - 6*z + q*p = -186. Is z a multiple of 17?
True
Let w be (-16)/((-4 + 2)*1). Let g(u) = 2*u + 4. Let b be g(3). Let t = b - w. Does 2 divide t?
True
Suppose -h - 4 = -3*h. Let g = h - -1. Is g even?
False
Suppose -2*n - 14 = -4*l, -n = -4*n + 5*l - 16. Suppose 0 = o + n*o - 44. Is o a multiple of 4?
False
Does 16 divide (-957)/(-12) + 5*1/20?
True
Suppose 0 = -0*r + 3*r - 12. Suppose r*h = 54 + 78. Is 17 a factor of h?
False
Suppose 4*a = 9*a - 5, 5*k = -3*a + 603. Is k a multiple of 24?
True
Let n be ((-4)/6 - 0)*9. Is 16 a factor of (-194)/n - (-6)/(-18)?
True
Let p(c) = -c**2 + 12*c + 8. Let i(s) = -s**2 - 1 + 0 + 1. Let r(q) = 2*i(q) - p(q). Does 7 divide r(-7)?
False
Suppose 4*h = 5*z - 22, 0*z - 4*h = -4*z + 20. Suppose -167 = -z*d + 153. Suppose 7*o - 2*o - d = 0. Is o a multiple of 16?
True
Suppose -4*c + 155 = -865. Let u = c - 179. Is u a multiple of 27?
False
Suppose 5*h + 0*a - 201 = 2*a, 2*h + a = 75. Let f(p) = p - 3. Let o be f(3). Suppose o*j = 3*j - h. Is j a multiple of 5?
False
Let p(y) = -12*y - 14. Does 14 divide p(-7)?
True
Let g(c) be the third derivative of -c**5/60 - 5*c**4/24 - 5*c**3/6 - 2*c**2. Let l be g(-4). Is 23 + (0 - l) + 1 a multiple of 10?
False
Suppose 0 = -3*f - 5*y - 20, -2*f = -2*y + 1 - 9. Let k(t) = t + 1 + t**2 + f*t**2 - 2*t + 13*t**3. Is k(1) a multiple of 6?
False
Suppose 0 = -2*c - 2*c + 16. Suppose 0 = -3*d - c*g + 44 + 93, -g = 4*d - 200. Does 17 divide d?
True
Suppose 25 = q + 3*a, -3*a = -5*q - 2*a + 45. Let t be q/(-4)*6/(-5). Let o = t + 0. Does 2 divide o?
False
Let f(s) = s**2 - 8*s + 4. Let x be f(8). Suppose x*m - 56 - 36 = 0. Does 9 divide m?
False
Let z(r) be the second derivative of -r**3/2 - 2*r**2 - 2*r. Let u(v) = -v**3 - 5*v**2 + 7*v + 3. Let j be u(-6). Is z(j) even?
False
Suppose 16 - 61 = 5*x. Let p be 2/6 - 240/x. Suppose -t + p = 2*t. Is t a multiple of 5?
False
Suppose 19 = -3*z - 20. Let m = 7 + z. Is 98/21 - 2/m a multiple of 3?
False
Is (-4)/12 - 164/(-6) a multiple of 3?
True
Let j(f) = 11*f - 9. Let d be j(-9). Let b = -66 - d. Is b a multiple of 21?
True
Let s be 2/(-7) + 26/(-7). Let f = -6 - s. Let v = 5 + f. Is 3 a factor of v?
True
Suppose -2*q = q - 6. Suppose 200 = -q*v + 6*v. Is 25 a factor of v?
True
Let k(q) = 2*q - 7. Is k(13) a multiple of 19?
True
Let v(w) = -w**3 - 9*w**2 - 16*w - 10. Does 18 divide v(-8)?
True
Let d(a) = a**2 - 5*a - 5. Let w be d(6). Let v be (-2)/(-1) + 253 + w. Does 14 divide v/10 - 6/(-15)?
False
Let b be (-92)/(-20) + (-2)/(-5). Let g = 5 - b. Suppose 2*r + 3*r - 10 = g. Does 2 divide r?
True
Suppose -3*x = -2*h - 2*h + 774, -5*h + 3*x = -966. Suppose 2*k + k = h. Is 14 a factor of k?
False
Let y(c) = c**3 - 3*c**2 - 4*c + 14. Is 7 a factor of y(4)?
True
Let c = 11 + -5. Suppose -c*r + 300 = -r. Suppose -s - r = -5*s. Does 15 divide s?
True
Let i = 29 + -4. Suppose i = 4*k + 5*u + 4, -5*k + 2*u + 18 = 0. Suppose 3*w = 5*q + 77, w + 54 = 3*w - k*q. Is w a multiple of 19?
True
Let p(a) = 2*a - 12. Let k be p(6). Let q be -1*2*(-6)/4. Suppose 0 = -k*f - 5*f + q*o + 59, 18 = 3*f + 4*o. Is 5 a factor of f?
True
Suppose -3*g + 5*v = -12, -3*g = -4*v - 2 - 10. Let p = 1 + g. Suppose s + 52 = p*s. Is 13 a factor of s?
True
Let o = -2 - -10. Let c = o - 5. Suppose -4*v - c*l + 112 = 0, -4*v - 5*l = 29 - 141. Is 10 a factor of v?
False
Let l(c) = -2*c - 7. Let m be l(-7). Let v(a) = 5*a - 4. Let s be v(m). Let j = 17 + s. Is j a multiple of 17?
False
Let c(o) = -3*o**3 + 4*o**2 - 2*o. Let l be c(2). Let s be (-15)/((-3)/l*-3). Suppose -3*h - s = -4*h. Is h a multiple of 10?
True
Let p(l) = -l**3 + 4*l**2 + 5. Let t be p(4). Suppose 4*d - c = 105, 0 = d - t*c - 34 - 16. Does 14 divide d?
False
Suppose 5 = 5*q - 10*q. Let a = q + 4. Is 2 a factor of (40/15)/(2/a)?
True
Let x = -12 - -12. Suppose -2*f - 3*f + 55 = x. Does 11 divide f?
True
Let k(b) = 42*b + 6. Does 24 divide k(5)?
True
Suppose -5*q = -2*q - 9. Does 7 divide 1/((q/(-7))/(-3))?
True
Let t(j) = -j - 2. Let i be t(-2). Let b(m) = 14 - m**2 - 13 + 22. Is b(i) a multiple of 18?
False
Let x(a) = 6*a + 0*a - 9*a**2 - 4*a. Let u be x(-2). Is u/(-7) + (-2)/(-7) a multiple of 3?
True
Let i = -47 - -34. Let b = i - -61. Does 18 divide b?
False
Let l(j) = -j**3 + 8*j**2 - 4*j + 1. Let g be l(7). Suppose -p - 34 = g. Let o = p - -84. Is 11 a factor of o?
False