e
Suppose -49 = -3*m + 47. Is m a multiple of 8?
True
Let h(j) = 13*j**2 - j - 10. Let d(u) = -5*u**2 + 3 - 2*u**2 + 2. Let r(q) = 5*d(q) + 3*h(q). Is r(4) a multiple of 21?
False
Suppose 4*p + 12 = 8*p. Suppose -p*h + 84 = -81. Is h a multiple of 16?
False
Let f(p) be the first derivative of 2 + 1/3*p**3 - 3*p**2 + 6*p. Is 13 a factor of f(7)?
True
Suppose 4*w = 2*w + 2. Let q be -1 + w - 0 - -3. Suppose t = -q*t + 20. Is 3 a factor of t?
False
Suppose 0 = -5*o + 4*m + 185, o = 2*o - 5*m - 58. Let p = 59 - o. Does 13 divide p?
True
Let l(v) = -v**3 + 2*v**3 - 6 + 5 + 5*v**2 - 3*v. Is l(-5) a multiple of 7?
True
Let a(x) = -2*x - 16. Let k be a(-12). Suppose 2*b + k = 36. Is b a multiple of 14?
True
Is (24/30)/(4/90) a multiple of 13?
False
Suppose -3*d = -4*d - 8. Does 10 divide (-242)/d - (-2)/(-8)?
True
Suppose -35 = -3*f - 2*f. Suppose f*t - 30 = 2*t. Suppose -3*l - 5*u + t = -42, 2*l - 28 = -2*u. Is 5 a factor of l?
False
Let z = 4 - 1. Suppose -4*k = 4*y - 1 - 11, -z*k = -5*y + 7. Suppose 0 = -g - 5*n + k, -4*g + 5*n + 46 = -33. Is g a multiple of 8?
True
Let k(c) = 2*c**2 + 3*c - 6. Let t(x) = 3*x**2 + 2*x - 6. Let i(r) = -5*k(r) + 4*t(r). Does 10 divide i(4)?
True
Suppose 0 = 3*v - 19 - 59. Is v a multiple of 8?
False
Let t(s) = -s**3 + 7*s**2 - 8*s - 4. Is 3 a factor of t(4)?
True
Let s(v) be the third derivative of v**4/3 + 2*v**3/3 + 5*v**2. Is 15 a factor of s(4)?
False
Let l be -1 - (0 + 0/3). Is 4 a factor of (3/l)/9*-30?
False
Suppose 0 = -4*a + 16 - 152. Suppose -5*j - 4*g = g - 80, -4*g - 53 = -5*j. Let p = j - a. Is p a multiple of 20?
False
Suppose -5*o = -0*o - 3*q + 24, 0 = -o + 5*q + 4. Is 5 a factor of (-70)/o + (-4)/(-12)?
False
Is 3/2*(-904)/(-12) - 2 a multiple of 13?
False
Let q(n) = n**2 + 3*n - 2. Let i be q(-3). Is 14 a factor of (2/i)/((-2)/84)?
True
Suppose -2*i + 139 = 19. Is i a multiple of 15?
True
Let i = -1 + -1. Does 20 divide i/(-3)*(-246)/(-4)?
False
Let u be (-3)/((-9)/(-6)) - -5. Suppose 0 = u*x + 9 - 24. Does 2 divide x?
False
Let s(i) = 6*i + 3. Is 15 a factor of s(2)?
True
Suppose 3*t + 2*r = 33, -4*t + 6*t = 5*r + 41. Suppose 5*i - t = c, c + 9*i - 4*i = 17. Suppose 4*b + 54 = c*x, -b + 3*b - 47 = -x. Does 14 divide x?
False
Let x(a) = -a**3 - 17*a**2 + 14*a + 9. Is x(-18) a multiple of 21?
False
Let y(w) = 0*w + 2*w - 2*w - 3 + 3*w. Let r(p) = -2*p. Let c be r(-2). Is y(c) a multiple of 4?
False
Suppose 4*f + 25 = -75. Let y = 75 + f. Is y a multiple of 16?
False
Is (9/4)/((-3)/(-144)) a multiple of 17?
False
Suppose 0 = -9*h + 2667 - 147. Is h a multiple of 40?
True
Suppose 0 = -0*t - t - 3. Let z(p) = p**2 + 2*p + 2. Let d be z(t). Suppose -19 = -2*o - d*r + 3, 3*r + 44 = 4*o. Does 11 divide o?
True
Suppose 0 + 8 = 4*k. Suppose -24 = k*a - 3*a. Is 18 a factor of a?
False
Suppose 2*z + 441 + 301 = 4*r, -r = 2*z - 188. Does 29 divide r?
False
Suppose -4*s - 17 = 11. Let w be s + 10 + 0 + 1. Suppose 2*l = -w*x - 3*l + 140, 5*x - 3*l - 138 = 0. Is x a multiple of 14?
False
Let q(x) = x**2 - x - 2. Let b be q(-2). Suppose 3*k = b*k - 34. Is k a multiple of 17?
True
Let t = 178 + -44. Suppose 0 = 5*x - 26 - t. Is 16 a factor of x?
True
Let c(p) = p**2 + p - 5. Let g be c(-4). Let u = 20 - g. Is u a multiple of 5?
False
Let m(l) = 17*l - 13 + 3*l**2 - 4*l**2 - 3 + 0*l**2. Does 14 divide m(12)?
False
Let r(v) = v - 1. Let s be r(4). Suppose -w + 2 = -s*d + 89, 4*w - 42 = -d. Is d a multiple of 13?
False
Let b be -3 + 1 + -1 + -1. Let d(s) = -s - 2. Let y(a) = 1. Let c(n) = d(n) + 6*y(n). Is 4 a factor of c(b)?
True
Suppose 4*t + 89 = -5*g, 0 = 3*t - 2 + 5. Let i = 10 - g. Is 6 a factor of i?
False
Let u(r) = -r**2 + 19*r + 3. Is u(10) a multiple of 15?
False
Suppose d = -4, m = -d + 3 + 3. Does 10 divide m?
True
Suppose 0 = -2*v + 12 + 16. Let o(i) = -3*i**3 - i**2 + 2*i + 2. Let z be o(-2). Suppose -z = -4*x + v. Is 3 a factor of x?
False
Let p be (3 - (-56)/(-6))*-9. Suppose -3*i + 36 = -p. Is i a multiple of 24?
False
Let n(x) = x**3 - 16*x**2 - 16*x + 1. Is 2 a factor of n(17)?
True
Let x(a) = 8*a + 18. Is 11 a factor of x(17)?
True
Let b(c) = -20*c + 5. Let p be b(-5). Suppose 4*l - p = l. Suppose l + 100 = 5*v. Does 12 divide v?
False
Let y(l) = l**2 - 3*l - 5. Does 8 divide y(-6)?
False
Suppose 8 = 3*u + w, -w = -4*u - 6*w - 4. Is 18 a factor of (-285)/10*u/(-6)?
False
Suppose 4 = -4*o, -5*b + o - 2*o = -79. Is b even?
True
Let u(m) = -m**3 + m**2 + 4*m + 3. Does 3 divide u(-2)?
False
Let t(m) = -m**2 - 2*m - 8. Let g be t(-4). Is 9 a factor of 1/(-2)*(g - 2)?
True
Is (3 - 420/25)*-5 a multiple of 11?
False
Is 19 a factor of 308/16 - (-4)/(-16)?
True
Let p = -17 + 11. Let c = p + 7. Is 11 a factor of c/(-5) - (-498)/15?
True
Let i be 2/(20/(-8) + 3). Is (-456)/(-15) - i/10 a multiple of 10?
True
Is (-3)/(-4) - 1 - 4914/(-72) a multiple of 21?
False
Let g(t) = t**3 + 9*t**2 + 5*t + 12. Is 11 a factor of g(-8)?
False
Let d be (2/3)/((-10)/(-225)). Suppose y = -2*b + 9, 2*y + d = 3*y - 4*b. Is y a multiple of 7?
False
Let z(a) = -a - 1. Suppose -2*o - 20 = 2*o, -2 = v - o. Is 3 a factor of z(v)?
True
Let j be 9/(-3)*1/3. Let u = j - -9. Is u a multiple of 4?
True
Suppose 0*i = -5*i + 120. Is 4 a factor of i?
True
Let w(k) = 2*k**2 + 3*k - 16. Does 4 divide w(-5)?
False
Let v = 3 + -1. Suppose -v*g - 11 = -3*w, 3*g - 1 = 5*w - 19. Suppose -w*r = r - 144. Is r a multiple of 18?
True
Does 10 divide (-1 + 142/(-6))*54/(-12)?
False
Let j(b) = -b**2 + 9*b + 3. Is 21 a factor of j(6)?
True
Let k(w) = 16*w**2 + 5*w - 1. Let u(g) = g**2 + g. Let j(q) = k(q) - 6*u(q). Let s be 2 + -3 + 0 + 0. Is j(s) a multiple of 6?
False
Let n be (6 + 0)/(-2) - 1. Let a = 9 + n. Suppose 5*m + 180 = -a*u + 510, -2*m + 4*u + 102 = 0. Is 21 a factor of m?
False
Suppose -5*j + 3*j + 216 = 0. Does 27 divide j?
True
Suppose -4*u + 41 + 35 = 0. Is u a multiple of 5?
False
Is 4 a factor of 1 + 11 - (-8)/2?
True
Let a(w) = -39*w + 23. Let v(d) = -13*d + 8. Suppose -3*h = -6*h + 18. Let t(y) = h*a(y) - 17*v(y). Is t(-3) a multiple of 17?
False
Suppose 2338 = 10*z - 122. Is 41 a factor of z?
True
Suppose 4*y + 63 - 411 = 0. Suppose 4*c + 33 + y = 0. Is 3 a factor of (-1)/(((-3)/c)/(-1))?
False
Let a be 3/((-1)/(0 + -1)). Suppose -2 - 52 = -a*u. Is (u/(-3))/(1 + -2) a multiple of 6?
True
Let y(q) = 119*q**3 - q**2 + q. Is y(1) a multiple of 25?
False
Suppose 2*a + 150 = 7*a. Is 15 a factor of a?
True
Let n(t) = 4*t**2 - 1 + 8*t - 4*t**2 - t**2. Let p be n(6). Suppose p = 4*j - 5*i - 30, 3*j = -4*i - 8. Is j a multiple of 3?
False
Let w(d) = -14*d + 2. Suppose 3*m + m - 44 = 0. Suppose -3*p = t + 2*p + 27, m = 2*t - 3*p. Is 15 a factor of w(t)?
True
Suppose -3*m = 3*t - 255, 350 = 5*t + 4*m - 71. Is t a multiple of 14?
False
Let s be 1/(((-3)/13)/3). Let p = -4 - s. Suppose -c = -5 - p. Is 14 a factor of c?
True
Suppose 5*s = 0, 3*s - 29 = 4*v + 11. Does 5 divide 61/5 + 2/v?
False
Let n be 180 - (-1)/((-3)/(-12)). Suppose s + n = 5*s. Is 23 a factor of s?
True
Let o = 155 + -111. Is o a multiple of 22?
True
Let m(k) = -7*k**2 + 3 + 3 + 4*k + 8*k**2. Does 6 divide m(-4)?
True
Let c(f) = f**2 + 8*f + 7. Let r be c(-7). Let y(x) be the first derivative of x**2/2 + 16*x - 1. Is 7 a factor of y(r)?
False
Suppose 3*y - 50 = -4*f + 2*f, 5*y - 130 = -5*f. Does 7 divide f?
True
Suppose 4*v + 2 = 174. Is v a multiple of 24?
False
Let v(s) = s**3 - 6*s**2 + 5*s - 7. Let q be v(5). Let y = -2 - q. Suppose -h + y = -2. Is h a multiple of 4?
False
Let y(w) = w**3 + 11*w**2 + 8*w + 7. Does 7 divide y(-10)?
False
Suppose -c = 3*c - 12, -3*z + 12 = -c. Suppose 0*p = 5*p - z. Let d(h) = 29*h + 1. Is d(p) a multiple of 15?
True
Let v(f) = 2*f + 3. Let t be v(-2). Let d = t - -2. Does 9 divide -1 + -1 - (-36 + d)?
False
Let u(c) be the first derivative of c**3 - c + 4. Is 16 a factor of u(-4)?
False
Is 7 a factor of (-16)/6*70/(-4)*3?
True
Let v = -2 - -20. Let o = -2 + v. Does 9 divide o?
False
Suppose 4*u + 9*q - 60 = 13*q, -4*u - 4*q = -100. Is u even?
True
Let o(g) = -g**2 - 3*g + 3. Let r be o(-3). Suppose 0 = -2*j - 5*a - 25, -r*j + 0*a = -a - 5. Suppose j = i - 3*i + 80. Is 18 a factor of i?
False
Let t(p) = 6 + 1 - 2*p - 3 + p**2 - 5*p. Is t(7) a multiple of 4?
True
Let q be (7 - (-2 - -2)) + -1. Suppose 6*u = -3*a + 2*u + 53, 0 = a - u - q. L