 5*g, 3*n - 6 = 3*g. Let p be 4/(-3)*9/n. Let a = p - -10. Does 2 divide a?
True
Suppose 11*x + 162 = 13*x. Suppose 4*z + 4*s - 364 = -120, 5*z - 3*s - 281 = 0. Suppose -4*k + 3*h = -x, -2*k - 4*h + z = -2*h. Is 14 a factor of k?
False
Suppose 2*l = -5*x + 7*l + 15, -5*l + 10 = 0. Suppose 4*m + 78 + 104 = x*t, 0 = -3*t - 3*m + 93. Is 10 a factor of t?
False
Suppose 0 = -y + 25 + 50. Suppose -27 = -b - 2*r + 9, 2*b - y = -5*r. Suppose 7*x = 4*x + b. Is x a multiple of 4?
False
Suppose 5*p = 2*p - 12. Does 9 divide 3 - p/((-4)/(-31))?
False
Let w(i) = -11*i. Let h(u) = 5*u. Let a(g) = -13*h(g) - 6*w(g). Let z be a(0). Suppose 4*k - 4*j - 52 = z, k - 18 = 5*j + 7. Is 7 a factor of k?
False
Let z(n) = n. Let v = 35 - 8. Let m be 129/v + (-6)/(-27). Does 4 divide z(m)?
False
Suppose y - 6 = -2*q + 22, -2*y - 34 = -2*q. Does 6 divide q?
False
Let o = 32 + -26. Does 3 divide o?
True
Suppose 5*n + 5*p - 20 = 0, -4*n + 14 + 14 = -2*p. Let c(r) = r**3 - 4*r**2 - 6*r - 8. Is c(n) a multiple of 14?
True
Let m = 4 - -2. Suppose -m*h = -h - 35. Let t(b) = -b**2 + 11*b - 4. Is t(h) a multiple of 12?
True
Suppose -301 = -4*l - u - 4*u, u = -l + 74. Is l a multiple of 7?
False
Let y be (-8)/(-28) + (-214)/14. Let j(v) = v**3 + 16*v**2 + 13*v - 12. Does 4 divide j(y)?
False
Let o(z) = -8*z - 9. Does 13 divide o(-6)?
True
Let m(u) = -u**2 + 7*u + 4. Let a be m(7). Let w = -4 + a. Suppose -l + f + 39 = w, 39 = -3*l + f + 156. Is l a multiple of 13?
True
Let k = -84 + 140. Is 14 a factor of k?
True
Let d(z) = z**2 - 2*z + 3. Let p be d(2). Suppose 4*o + p*q - q = 4, -4*q = 5*o + 1. Does 3 divide o?
True
Let a(n) = n + 17. Let x be a(0). Let m = x - -10. Suppose -4*y - m = -95. Does 13 divide y?
False
Suppose -2*f - 50 = 3*f. Is 4 a factor of -6*(f/3)/5?
True
Suppose 0 = -y - 3*y + 20. Suppose 0*q + 5*q - 15 = y*b, -4*b + 5*q - 13 = 0. Is 8 a factor of (0 + 18 - 0) + b?
True
Let c(n) = -n**3 - 5*n**2 + 6*n + 8. Let s(f) = -f**2 + 9*f + 4. Let j be s(10). Does 7 divide c(j)?
False
Let p(i) = -i**3 + 7*i**2 + 7*i + 14. Does 19 divide p(7)?
False
Suppose -2*b - 200 + 620 = 0. Suppose -b = -2*n - 3*n. Does 21 divide n?
True
Let b be 9/(-27) + 7/3. Let g be (-1)/(-2) - (-14)/4. Suppose b*a = g*a - 36. Does 10 divide a?
False
Let t = 13 + -11. Suppose -225 = -5*l + 4*p - 9*p, 0 = t*p. Is 20 a factor of l?
False
Suppose 0*i + 155 = 5*i. Suppose 0 = 3*d + 5*r + 13, 2*d + 2*r + 30 = 7*d. Suppose -5*t + d*f = -0 - i, 0 = t + 2*f - 9. Is t a multiple of 4?
False
Suppose 842 = 4*f + 2390. Let n be f/(-6) + (-4)/(-8). Suppose 0*r + n = 5*r. Does 8 divide r?
False
Suppose 0 = -u - u - 16. Let j be (-2 + 7)*u/(-5). Let a(p) = -p**2 + 10*p + 11. Does 10 divide a(j)?
False
Let c(m) = -11*m - 17. Let j(r) = 4*r + 6. Let f be (7 + -3)/(-2) - 1. Let l(a) = f*c(a) - 8*j(a). Is 5 a factor of l(3)?
False
Let r(y) = -y + 9. Let z be r(5). Is (-2 + z)/(-4)*-12 a multiple of 2?
True
Suppose -6*h = -h - 10. Suppose -136 = -h*i + p, -4*i - p + 0*p = -278. Is i a multiple of 24?
False
Let k(g) be the first derivative of -g**4/4 + 8*g**3/3 + 5*g**2/2 - 9*g + 4. Does 11 divide k(8)?
False
Suppose 2*u = 2 + 4. Suppose 4*n - 10 = u*n. Does 15 divide (2 + 1)/(2/n)?
True
Suppose -7*n + 14*n = 756. Is n a multiple of 12?
True
Let r(z) = z**2 + 9*z + 2. Let n be r(-9). Suppose -d = n*d - 2*q - 73, 2*q + 31 = d. Is d a multiple of 8?
False
Let j = -132 - -147. Is 2 a factor of j?
False
Suppose -3*m - 126 = -p, p - 107 = 5*m + 13. Is 27 a factor of p?
True
Let x = 13 + -10. Suppose -r = -3*h - x*r + 2, -5*h + 14 = -2*r. Let t = 8 + h. Does 5 divide t?
True
Suppose -5*i + 1 + 4 = 0. Is 5 a factor of -16*i*3/(-2)?
False
Let s(b) = 6*b + 6. Does 24 divide s(3)?
True
Let c = -62 - 20. Let s = -54 - c. Does 14 divide s?
True
Suppose 3*u - 3*o - 36 = 0, 0 = -5*u + 3*u - 2*o + 28. Suppose 0*p = p - u. Is p a multiple of 13?
True
Is 4 a factor of 3*2/(-12)*-44?
False
Suppose -420 = -11*j + 4*j. Is j a multiple of 25?
False
Let o = 308 - -13. Suppose p - 4*p = -4*n - 196, -n = -5*p + o. Suppose 5*g = p + 16. Is g a multiple of 13?
False
Suppose 3*f - 20 - 37 = 0. Suppose 0 = 3*j + 1 - f. Let q = 0 + j. Is q a multiple of 6?
True
Let p be 15/4 + 3/12. Suppose -s + 11 = -p. Is 5 a factor of s?
True
Suppose 0 = -l - 2 - 2, 4*f - 148 = -4*l. Is f a multiple of 10?
False
Let x = -15 - -22. Suppose -2*l + x*l = 155. Is 13 a factor of l?
False
Let v be -1 - (0 + 0)*1. Is 11 a factor of 10/(-25)*(-34 + v)?
False
Let o(p) = -p**3 + 7*p**2 + 9*p + 3. Suppose 3*s - 8*s + 40 = 0. Is 9 a factor of o(s)?
False
Let r(m) = -m**3 - 15 - m**3 + m**2 + 14. Is 2 a factor of r(-1)?
True
Is ((-9)/(-6))/((-3)/(-24)) a multiple of 6?
True
Is 7 a factor of (-21)/(-28)*56/6?
True
Suppose -z - 224 = -3*z. Suppose -9*b + z = -5*b. Is 7 a factor of b?
True
Suppose -2*w - 5 = -27. Is w even?
False
Let q be (-4)/(-6) - 124/6. Let i = -18 - -13. Let v = i - q. Does 15 divide v?
True
Suppose 0 = 3*w - 4*w - 9. Suppose -3*o = -o - 46. Let s = w + o. Is 14 a factor of s?
True
Let c be (2/4)/(3/102). Let p = c - 6. Is p a multiple of 8?
False
Let k(l) = -l - 2. Let h be k(-5). Suppose h*m - 26 = 34. Is m a multiple of 10?
True
Let s(i) = i**2 + 2*i - 5. Let r(y) = -y**3 + 3*y**2 - 4. Let j be r(3). Does 2 divide s(j)?
False
Let w(m) = m**3 + 5*m**2 - 4. Let r be w(-5). Suppose -5*f + 4*q = -26, 1 = 3*f + q - 1. Is 16/f*(r + 6) a multiple of 6?
False
Suppose 0 = m - 4*g + 2*g - 147, -g + 680 = 5*m. Is 11 a factor of m?
False
Suppose -5*t + 0*p - 4*p = -346, 3*t - p = 211. Does 35 divide t?
True
Let g(d) = -d**3 - 3*d**2 - 5*d - 2. Let j be g(-4). Suppose -5*c + 2*u = -j, 3*c - u = 1 + 20. Is 4 a factor of c?
True
Suppose -3*l - 75 - 62 = -4*i, -i + 5*l + 47 = 0. Is 32 a factor of i?
True
Let f(v) = v**3 + 9*v**2 + 6*v - 9. Let n = -2 + -6. Does 7 divide f(n)?
True
Suppose 3*f + 9 = 0, -2*f = -5*u - 3*f + 27. Does 2 divide u?
True
Let l(d) be the third derivative of -d**6/360 + d**5/20 - d**4/24 + d**2. Let g(k) be the second derivative of l(k). Does 10 divide g(-7)?
True
Suppose 1 = -s, 2*d - s - 25 = 2*s. Is 2 a factor of d?
False
Suppose 2*j + 360 = 7*j. Suppose 168 = 4*a + 2*p + p, -2*p = -4*a + 168. Does 13 divide j/a*1*28?
False
Let c be 18 - -2*1/1. Suppose 4*k + 3*l = 16, 3*l + c + 0 = 5*k. Suppose k*f + 4*t = 44, 0 = 3*f + f + 5*t - 47. Is 3 a factor of f?
False
Is (-2 - -1) + (-612)/(-4) a multiple of 46?
False
Suppose 0 = g + 1, g + 3*g = -2*y + 164. Suppose y + 8 = 4*w. Does 7 divide w?
False
Let w(n) = -2*n**2 + 98. Does 14 divide w(0)?
True
Let a = 36 + -15. Does 21 divide a?
True
Let c(p) = p**2 + 4*p. Let o be c(-4). Let m = 49 + -31. Suppose -4*j + j + m = o. Is j a multiple of 5?
False
Let d(n) = -n**3 + 4*n**2 - 2*n - 1. Suppose -a = 4*w - 26, -2*w + 5*a = -0*w - 2. Let b = w + -4. Does 3 divide d(b)?
True
Let l = -11 + 91. Is l a multiple of 20?
True
Let w(o) = 28*o - 5. Let u(m) = m - 1. Let z(i) = 5*u(i) - w(i). Is 8 a factor of z(-1)?
False
Let p = -3 + 5. Suppose 3*z = 2*q - 23, -q - 8 = p*q + 4*z. Suppose -q*h + 27 = -h. Does 9 divide h?
True
Suppose 0 = -3*f + 16 + 23. Let a = 25 - f. Is a a multiple of 12?
True
Suppose -5*b + 31 + 169 = 0. Suppose -f - 3*f = -b. Suppose 4*d = f + 26. Does 9 divide d?
True
Let w = -7 + 15. Is 4 a factor of w?
True
Let c(i) be the third derivative of 1/24*i**4 + 2*i**2 - 1/120*i**6 + 0*i + 0 + 7/6*i**3 + 1/60*i**5. Does 3 divide c(0)?
False
Let a(c) = c**3 + 6*c**2 - 6*c - 2. Is 18 a factor of a(-4)?
True
Suppose 5*w - 7 = 8. Suppose -3*a + 12 = 0, -w*d + 106 - 21 = -5*a. Suppose -1 = -3*m + d. Is m a multiple of 12?
True
Let r(v) = 5*v**2 + 10*v + 9. Is r(-6) a multiple of 29?
False
Let h = 5 - 5. Suppose -2*i - 3*n + 17 = h, n - 12 = -3*n. Suppose 2*k + 4*r - 8 = 0, -1 - 31 = -4*k - i*r. Is 12 a factor of k?
True
Let t(m) = -m + 3 + m - m - 1. Is t(-15) a multiple of 17?
True
Suppose 5*v + 3*y + 39 = 0, 10*y - 9 = 4*v + 5*y. Let c be (-2)/2 + (2 - 4). Is 11 a factor of c/v*56/2?
False
Let v(t) = 13*t**2 - 3*t - 6. Does 13 divide v(-2)?
True
Let u(j) = j**2 - 2*j + 3. Let x be u(2). Suppose -s - 4*s + 171 = x*z, 0 = -z - 3*s + 57. Is 19 a factor of z?
True
Let f(v) = v - 2. Let n = 5 - -1. Let w be f(n). Suppose w*p - 83 = 113. Is p a multiple of 14?
False
Is 6 a factor of (7/(-2))/(((