22. Let v = n - 1. Is 4 a factor of v?
False
Let m = 93 + -43. Is 13 a factor of ((-780)/m)/(2/(-5))?
True
Suppose -4*z - 5*a + 9*a + 772 = 0, -a = 3*z - 599. Does 18 divide z?
True
Let l(y) = -4*y**3 - 2*y**2 + 3*y + 5. Let a be l(-7). Suppose -3*h + a = -5*h. Is h/(-11) + (-4)/22 a multiple of 22?
False
Does 9 divide 67 - ((-3)/5)/((-6)/30)?
False
Suppose 214 = 2*n + k + k, -n = -4*k - 112. Is 18 a factor of n?
True
Suppose -2*z - k + 111 = -183, 0 = -5*z - 2*k + 735. Is z a multiple of 34?
False
Let h be 5 + 5 + (2 - 0). Suppose 0 = x - 3 - h. Is 6 a factor of x?
False
Suppose -4*c = -c + 9. Let k(w) = w**3 + 7*w**2 + 2*w. Is k(c) a multiple of 15?
True
Suppose 6*b = -0*b + 36. Is b a multiple of 2?
True
Let n = 1 + 5. Let s(m) = 2*m + 7. Is s(n) a multiple of 7?
False
Suppose 3*v + 6*f - 258 = 4*f, 5*v - 5*f - 405 = 0. Does 14 divide v?
True
Let t be (-2)/(-3) - (-4)/3. Let l be 3/6 + t/4. Is l - 2*-1 - -1 a multiple of 4?
True
Let k = 56 + -41. Is k a multiple of 5?
True
Suppose 73 = 4*p - 147. Suppose -f - 2*t + 2 = -0*t, p = 5*f - 5*t. Let n = -1 + f. Is n a multiple of 2?
False
Is 25 a factor of (-30)/(-7)*(1 - -13)?
False
Suppose 0 = -x + j + 1, 0 = -2*x - 2*x - j - 1. Suppose -g - 3*p + 5*p + 24 = x, p + 92 = 3*g. Is g a multiple of 8?
True
Let a(d) be the first derivative of 14*d**3/3 + d**2/2 - 4. Does 13 divide a(-1)?
True
Let a = -7 + 2. Let r = 5 - a. Is 3 a factor of r?
False
Suppose -39 = -3*g - 5*z + 11, 3*g = 3*z + 66. Suppose 5*c - g = r, -c = -r - 0*r. Suppose -3*v - 230 = -4*n - 53, r*n + 3*v = 201. Does 21 divide n?
True
Let z = -76 + 110. Let c = 48 - z. Is 6 a factor of c?
False
Let d(f) = -31*f**2 + 6*f + 27*f**2 - f + f**3 - 2. Is 24 a factor of d(5)?
True
Let c = -35 - -24. Let x be 12/(-66) - (-42)/c. Let u = 19 + x. Is 7 a factor of u?
False
Suppose 153*w = 157*w - 200. Is w a multiple of 10?
True
Suppose -294 + 108 = -6*a. Is 10 a factor of a?
False
Let k(v) = v - 10. Let f(a) = -1. Let x(b) = 6*f(b) - k(b). Let p = -11 - -6. Is x(p) a multiple of 7?
False
Suppose 0 = 4*u - 67 + 3. Is 4 a factor of u?
True
Suppose 6*o + 18 = 3*t + o, -1 = 2*t + o. Let f be (t/1)/(4/96). Let n = f - 10. Is 10 a factor of n?
False
Let n(x) = -5*x**3 - 2*x**2 - 3*x - 2. Does 9 divide n(-2)?
True
Let a(v) = v + 26. Is 14 a factor of a(-12)?
True
Suppose -40 = -0*n + 4*n. Let p = 10 + n. Suppose -2*l = -p - 8. Is 3 a factor of l?
False
Suppose -3 + 6 = o. Is o/6*-2*-8 a multiple of 8?
True
Let w = -16 - -22. Let f(z) = 4*z + 8. Does 22 divide f(w)?
False
Suppose 11 = -x + 32. Suppose 0 = -8*i + 11*i - 15. Suppose 0 = v - x - i. Does 11 divide v?
False
Suppose 0 = -4*l - 6*u + 2*u + 564, 4*l = u + 559. Does 35 divide l?
True
Let g(u) = -u**3 + 4*u**2 + u. Suppose 5*w = 5*h + 5, -5 - 10 = -5*h. Is g(w) a multiple of 4?
True
Suppose 5*l + 823 = -57. Let m = -48 - l. Suppose 2*h - m = -2*h. Is h a multiple of 16?
True
Suppose -53 - 172 = -5*o. Is 5 a factor of o?
True
Suppose 0 = 4*n - 5*d - 1129, 0 = -5*n - 2*d - 344 + 1714. Does 45 divide n?
False
Suppose 0 = f - 5*f + 60. Suppose -5 - f = -4*b. Is b a multiple of 2?
False
Let y(x) = x**3 - 7*x**2 + 7*x - 4. Let z be y(6). Suppose 2*h + 7 = 47. Suppose z*r + 2*g = 20, 3*g + g = -2*r + h. Is 3 a factor of r?
False
Let j(b) = 289*b**3. Let o be j(1). Let h = o - 203. Suppose -h = -5*x - 4*s, 2*x + s - 35 + 0 = 0. Is x a multiple of 12?
False
Let u be 0/(-4)*(0 - -1). Suppose 5*q - 70 - 155 = u. Let s = -15 + q. Is 15 a factor of s?
True
Suppose 3*j - 2 = -2*j - l, 5*l + 13 = -2*j. Let v be (8/2 + 1)*j. Suppose 33 = -2*r + v*r. Is r a multiple of 9?
False
Suppose 63 = -6*h + 429. Is h a multiple of 13?
False
Suppose 2*k - 23 = -3. Does 5 divide k?
True
Suppose s = 4*s - 51. Suppose 0 = v - 2*v + s. Is 17 a factor of v?
True
Let p(c) = c**3 + 8*c**2 - 10*c - 6. Let v be p(-9). Let a = 4 + v. Does 2 divide a?
False
Let m(u) = -14*u + 4. Let a = 9 - 13. Is 20 a factor of m(a)?
True
Let y = -21 + -5. Let w = y + 37. Does 6 divide w?
False
Let u(i) = -i**3 - 17*i**2 - 20*i - 11. Does 9 divide u(-16)?
False
Let z = -10 + 14. Suppose 3 = z*c - 5. Suppose c*f = f + 9. Is 3 a factor of f?
True
Let b = -6 + 30. Does 8 divide b?
True
Suppose 0 = 5*v - 6*p + 5*p + 7, 3*v = -3*p - 15. Is 9 a factor of (-3)/(-1) + v + 28?
False
Suppose 5*c + 219 = 3*r + 6*c, -4*r + 3*c + 279 = 0. Is r a multiple of 18?
True
Suppose g = 2*g - 2*j + 3, -40 = -4*g - 5*j. Suppose g*i = i - 2*b + 2, 4*b = -4*i - 8. Suppose -96 = -f - i*f. Does 9 divide f?
False
Suppose -4*y = -4*p + 68, 2*p - 76 = -3*p + 2*y. Is p a multiple of 3?
False
Is 4 a factor of 2/6*(2 + 22)?
True
Let g(i) = -i**3 - 5*i**2 + 7*i + 8. Let h be g(-6). Suppose 0 = -h*q + 2, 3*k + k = -q + 137. Does 8 divide k?
False
Let a(u) = u**3 + 24*u**2 + 19*u + 57. Is 7 a factor of a(-23)?
False
Let u(l) = l**3 + 1. Let j(q) = 15*q**3 + 4. Let k(h) = -j(h) + 4*u(h). Is k(-1) a multiple of 11?
True
Let z(p) = 7 + 3*p + 7*p**2 - 3*p - 5*p - p**3. Is z(6) a multiple of 13?
True
Suppose 2*r - 83 = 79. Let j = -57 + r. Is 13 a factor of j?
False
Suppose 0 = -m + 6*m - 260. Is m a multiple of 10?
False
Suppose 2 = w - 0*w + 4*y, -5*y - 35 = 5*w. Let t be (2 - 2)*5/w. Suppose t*u - 6 = -u. Is u a multiple of 3?
True
Let w(k) = 6*k**2 + 4*k + 9. Does 11 divide w(4)?
True
Let d(s) = s**2 - 4*s + 1. Let q be d(2). Let l be (-7)/(-4) - q/12. Does 9 divide -1 - -3 - -12*l?
False
Suppose 0*j + 5*j - 15 = 0. Suppose v - 12 = -4*a, 4*v = -j*a + 2*a + 108. Is 23 a factor of v?
False
Let h = -10 - -17. Let a be h/3 + (-2)/6. Suppose -a*w + 50 = 3*w. Does 5 divide w?
True
Let r(v) = v**2 - 8*v + 10. Let h be r(7). Suppose -48 = h*o - u, -4*o - 4*u - 55 = -7. Let f = -6 - o. Is f a multiple of 9?
True
Suppose 2*x + 4 + 2 = 0. Does 4 divide 8/12 - 16/x?
False
Let c(h) = h**2 + 3*h + 124. Does 29 divide c(0)?
False
Let m(p) = -p**3 + 8*p**2 + 4*p - 18. Is m(8) a multiple of 3?
False
Let p = -4 + -6. Is 2 a factor of (-1)/((4/p)/2)?
False
Let i = -251 + 636. Is 55 a factor of i?
True
Suppose 0 = 23*t - 11*t - 4692. Is t a multiple of 33?
False
Let v be 9/2*(-16)/(-12). Suppose -m = -j + 124, -v*m = 5*j - m - 600. Suppose 0 = o + o - j. Is 21 a factor of o?
False
Does 24 divide 60*(44/20 + -1)?
True
Suppose -4*i = -5*u + 1, 2*i = -3*i - 3*u + 8. Let y be 52/8*2*i. Let q = y + 9. Does 13 divide q?
False
Suppose -5*v - l + 1639 - 439 = 0, 2*v = -4*l + 498. Is v a multiple of 28?
False
Suppose 4*n - 76 + 8 = 0. Is (n*-1)/(-3 - -2) a multiple of 17?
True
Let v = 123 - 74. Is v a multiple of 11?
False
Let g(o) = -o + 12. Let s be g(10). Suppose -2*a + a = 3*c - 13, 2*c - 30 = -s*a. Is 8 a factor of a?
True
Let c = -83 - -151. Suppose -i + c = i. Is i a multiple of 10?
False
Let k(x) = -2*x - 4*x**2 + 2 + 3*x + x**3 + x**3. Let c = -10 + 12. Does 4 divide k(c)?
True
Let w = 2 - 4. Let k(s) = 2*s - 3. Let g(b) = 5*b - 10. Let v(q) = w*g(q) + 7*k(q). Is v(2) a multiple of 7?
True
Suppose 5*n - n = 120. Suppose -g = 4*g + 25. Is ((-108)/n)/(2/g) a multiple of 9?
True
Let j(n) = -n**2 - n + 5. Let o(i) = i**3 - 7*i**2 - i + 7. Let x be o(7). Let v be j(x). Suppose 0 = v*t, -4*s + 5*t + 66 = -s. Is 11 a factor of s?
True
Suppose 5*z = 60 + 60. Does 4 divide z?
True
Let y = 3 + 1. Let c be (-1 + y)/(3/9). Suppose 5*p + c = -4*q, 3*q - 2*q + 16 = -4*p. Is q a multiple of 2?
True
Let m(l) = 3*l + 3. Let j = -1 + -1. Let f be m(j). Is 12 a factor of 24/(-2)*3/f?
True
Does 6 divide (29 + 1)*(-8)/(-24)?
False
Let o be 0/3*(-3)/(-6). Suppose o = 3*x - 18 - 9. Is x a multiple of 3?
True
Let d(f) = 9*f**2 + 3*f - 8. Is 27 a factor of d(2)?
False
Let n(t) = 13*t - 21. Is 22 a factor of n(12)?
False
Let o(n) = -7*n + 2. Let d(j) = j - 1. Let m be d(3). Suppose -6*i - 8 = -m*i. Is o(i) a multiple of 15?
False
Is 8 a factor of ((-72)/15)/((-3)/20)?
True
Suppose -3*a + 87 - 39 = 0. Does 16 divide a?
True
Let r be (-2)/(-2)*(0 - -15). Suppose -2*j + r = -3. Is j a multiple of 9?
True
Let w(y) = 6*y**2 - y - 1. Let z be w(-1). Let b be (-2)/5 - (-32)/5. Is b/9*99/z a multiple of 5?
False
Let t(v) = -v**2 + 6*v - 2. Let u be t(3). Suppose 2*i - u = 11. Does 8 divide i?
False
Let d(y) = 12*y - 7. Let j be d(5). Suppose -1 = s + 3, -5*t - 5*s + 110 = 0. Let o = j - t. Is 15 a factor of o?
False
Let i = 26 + -18