et z = i - 5. Is z even?
False
Let k(j) = 9*j**3 - j - 2. Let x be k(-1). Let t = -1 - x. Is 8 a factor of t?
False
Suppose -137 = -3*j - 5. Is 6 a factor of j?
False
Suppose -2 - 6 = -2*h. Let a be h - 1/(-3)*-3. Is 10 a factor of 2/a + 94/3?
False
Suppose r + 4*r - 4*c - 47 = 0, 6 = -2*c. Suppose m + k + r = 3*k, 6 = -m + k. Does 4 divide (-76)/(-10) + (-2)/m?
True
Let a(k) = -k**2 - 7*k - 3. Let c be a(-6). Suppose 4*m + 85 = c*r - 232, -4*m + 79 = r. Suppose i + r = 4*i. Does 11 divide i?
True
Let h be 2/(-9) - 256/(-18). Let i = h - -2. Is 8 a factor of i?
True
Suppose -10*j + 18 = -7*j. Does 3 divide j?
True
Let p(v) = -19*v - 2. Let y = -8 + 13. Suppose -2*u + 4*j - 8 = 0, -u - y = -3*j - 0. Does 18 divide p(u)?
True
Let p(o) = -48*o + 34. Does 33 divide p(-7)?
False
Suppose -n + 0*n + 4 = 0. Suppose 2*r + 4*z = -6, 0 = -3*r - 2*z - 1 + 4. Suppose -n = r*d - 40. Does 12 divide d?
True
Suppose 5*v - 5 = 2*a, a - v + 2 = 1. Suppose a = 4*r, -z - 10 = -3*z - 5*r. Suppose 0 = -z*l - 2*m + 7*m + 200, -4*l + 172 = -m. Does 12 divide l?
False
Let m = 61 + -9. Does 26 divide m?
True
Let a be (4/(-8))/((-2)/4). Let k = a + 2. Suppose 0 = -h - 4*c + 56, k*c - 5 + 26 = h. Does 15 divide h?
False
Suppose 4*p - 104 = 2*p. Is 33 a factor of p?
False
Let s(u) = 4*u**2 + 4. Let h be s(5). Let i = 157 - h. Suppose j - p - i = -j, 5*j + 3*p = 160. Is 14 a factor of j?
False
Suppose -2*n = -5*y - 39, n - 2*n - y = -37. Is 32 a factor of n?
True
Let f(y) = -y - 7. Let w be f(-10). Is 9 a factor of -1 + (-2 - w*-4)?
True
Suppose 0 = -8*l + 7*l + 57. Is l a multiple of 13?
False
Let d(l) = l**3 - 3*l**2 + 3*l. Let b be d(2). Does 7 divide 7/(b - (1 - 0))?
True
Let a = -2 + 0. Is a/4*2*-2 even?
True
Suppose o + 17 = 6*o + k, 3*o + 4*k - 17 = 0. Is 18 a factor of -72*5/((-20)/o)?
True
Let f(y) = -y + 7. Let j be f(6). Suppose -l + i - j = -15, -4*l + 57 = -5*i. Is 7 a factor of l?
False
Suppose -4*l - 26 = 2*o, -3*o + 4 = -4*l - 7. Let p = o - -2. Let g(z) = -3*z. Is g(p) a multiple of 3?
True
Let h = 1 - 1. Suppose -4*p + 72 = -h*p. Suppose -2*g + 54 + p = 0. Is g a multiple of 18?
True
Let f = 3 + 4. Let a(i) = i**2 - 9*i + 7. Let d be a(9). Let n = f + d. Is n a multiple of 7?
True
Suppose -n = 4*n - 15. Suppose 6*o = n*o + 27. Does 9 divide o?
True
Let q(g) = 105*g**2. Let c be q(1). Let f be 1/1 + 4*1. Suppose -2*x - 5*y + 15 = 0, y - c = -f*x + 2*y. Is x a multiple of 10?
True
Suppose 3*g + 105 = -k, 3*k = -g - 2*g - 99. Let p = -22 - g. Does 5 divide p?
False
Let a(h) = h**3 - 8*h**2 + 2*h. Let n be a(8). Suppose 152 = 3*s - n. Is s a multiple of 15?
False
Let x(t) be the first derivative of -t**3/3 - 11*t**2/2 - 9*t + 2. Let a be x(-6). Let y = -9 + a. Is y a multiple of 6?
True
Suppose -6*f - 140 = -2*f. Let a = -11 - f. Is a a multiple of 8?
True
Suppose 28 = -6*j + 172. Does 12 divide j?
True
Let j(h) = 5*h**2 - 2*h - 17. Is 22 a factor of j(5)?
False
Let x(c) = c**3 + 6*c**2 - 6*c + 9. Let w be x(-7). Suppose 2*q = q - 1, 5*s + w*q = -82. Let p = s - -22. Is p a multiple of 6?
True
Suppose -4*o = 4*w - 5*w - 54, 131 = -4*w - o. Let m = w + -1. Let z = -18 - m. Is z a multiple of 10?
False
Let y(x) = 40*x**2. Let q be y(1). Suppose 2*t = -5*g + 2*g + q, -t = 2*g - 18. Is t a multiple of 24?
False
Suppose 154 = 3*z + 2*w, 3*z = 5*z + 5*w - 121. Suppose z = 3*f - 0*f. Suppose 2*m - f = 16. Does 6 divide m?
False
Is 12 a factor of (-12)/28 - 339/(-7)?
True
Let s = 6 + -16. Let a = -35 + s. Does 14 divide -1 + (-1)/(3/a)?
True
Let o = 54 + -19. Does 14 divide o?
False
Suppose -b + 55 = w + 2*w, -5*w = -5*b + 355. Is 10 a factor of b?
False
Let f be 27/6 + (-3)/2. Let t be 23/4 - f/(-12). Suppose -k = -t*k + 10. Is k even?
True
Suppose -l + 5*n - 6 = l, n = 2. Suppose v = 3*v + l. Is 15 a factor of 17 - ((-2)/(-2) - v)?
True
Let q = 93 + -49. Does 11 divide q?
True
Suppose -6 = -2*z, 0*b - 4*z = b - 8. Let x be -23*(2 + b)/2. Does 12 divide x + -2 + 3 + 0?
True
Let s(l) = l**3 + 7*l**2 + 6*l + 2. Let a be s(-6). Let j(x) = -x - 10*x**3 - 1 - 12*x**3 + a*x**3. Is 20 a factor of j(-1)?
True
Let r(j) = -23*j**2 + j. Let h be r(-1). Let a be (-12)/(-8)*h/(-9). Suppose -5*w = k - 6, k + 5*w - 18 = a*w. Is 7 a factor of k?
True
Is 6/(-45)*-35*54 a multiple of 14?
True
Suppose q = 2*a - 0 + 5, 4*a + 16 = 4*q. Let p be (-1 + a)/((-6)/(-105)). Let r = p + 71. Is r a multiple of 18?
True
Let b(d) = -13*d**3 + 7*d**2 + 3. Let j(s) = 7*s**3 - 4*s**2 - 2. Let u(x) = -3*b(x) - 5*j(x). Is u(1) even?
True
Suppose 7*w - 1148 - 1498 = 0. Is w a multiple of 21?
True
Let j(l) = l**3 + l**2 - l + 250. Does 39 divide j(0)?
False
Let o(j) be the third derivative of j**6/120 - j**5/20 - j**3/6 - 2*j**2. Let l = -2 - -6. Does 6 divide o(l)?
False
Let s = 67 + 43. Is 6 a factor of s?
False
Let x = 5 - 5. Suppose -4*o + 72 = -x*o. Is 18 a factor of o?
True
Let b = -101 + 5. Is 3/(-2*9/b) a multiple of 8?
True
Suppose b - 3*p + 207 = 5*b, -2*b + 3*p = -81. Is b a multiple of 8?
True
Suppose -5*g + u = -13, 5*u - 13 = -3. Suppose -4*p + 3*m - 47 = -313, g*p - 208 = -2*m. Is 26 a factor of p?
False
Let t(x) = -2*x**3 - 3*x**2 + x - 3. Let l be t(-3). Suppose -13 = l*r - 22*r. Is 13 a factor of r?
True
Suppose m = -4*q - 2*m - 7, 5*m + 5 = 0. Is (-48)/(5/(-2) - q) a multiple of 16?
True
Is 8 a factor of (-1)/(-2) - (-260)/8?
False
Let t(a) = -4*a + 1. Let d be t(2). Let q(h) = -2*h - 10. Let g be q(d). Suppose g*b = b + 42. Is 14 a factor of b?
True
Suppose 4*p = 5*o + 6 + 2, 0 = -p + 5*o - 13. Is p a multiple of 4?
False
Suppose 4*i = -5*r + 81, -26 = -i + 5*r - 12. Is i a multiple of 2?
False
Suppose -4*u + 5*h = -6*u + 75, 0 = -4*u - 2*h + 110. Suppose 4*k = 87 + u. Does 12 divide k?
False
Let t be (-9 - -4)*(-2)/5. Suppose c - 3*g = t*c + 65, -3*c - 175 = 4*g. Let j = -33 - c. Does 10 divide j?
True
Let v = -195 + 294. Is 17 a factor of v?
False
Suppose 0 = -5*b + 3*y + 21, 5*y - 1 = -5*b + 44. Suppose -5*t + b + 9 = 0. Is 9 a factor of (-1 - 1)/(t/(-30))?
False
Let x = -28 - -40. Is 29 a factor of (261/12)/(x/32)?
True
Let k be 356/10 + 6/15. Suppose z - 33 = k. Suppose -4*h - i = -z, 51 = 3*h - 2*i + 2. Is h a multiple of 8?
False
Let b(z) = z**3 + z - 6. Suppose 0*m = -4*m. Let c be b(m). Let a = 16 - c. Is 11 a factor of a?
True
Let u(y) = -y**3 - 6*y**2 - 15*y - 11. Is u(-5) a multiple of 39?
True
Let s = 106 - 71. Is s - (0 - 2/(-2)) a multiple of 21?
False
Let l = -9 + -16. Let n(z) = 40*z - 1. Let d be n(1). Let i = l + d. Is i a multiple of 13?
False
Suppose -d - 2*d + 18 = 0. Suppose 4*z + 3*j + 192 = 0, j + 0*j - 4 = 0. Does 20 divide 5/((-15)/d) - z?
False
Let i be -1 - (-1)/(1/2). Let k(v) = 3*v**3 + v**2 - v. Let t be k(i). Suppose 54 = 2*f + t*f - 4*b, 40 = 2*f + 3*b. Is f a multiple of 5?
False
Is (-8)/(-28) - 376/(-7) a multiple of 18?
True
Suppose 2*t - 4*g - 10 = -0*t, 3*g - 15 = -t. Let j = 1 + t. Is 10 a factor of j?
True
Let f(p) = -5*p. Let l = 6 + -7. Let h be f(l). Suppose -3*y + 25 = o, 0 = -2*y + h*o + 2 + 43. Does 10 divide y?
True
Let w be 8*(-2 - -1*3). Let s(c) = -c**2 + 8*c. Let d be s(w). Suppose 3*t = -x, 2*x + t = -d*t + 5. Does 3 divide x?
True
Suppose 0 = -0*q + q - 3. Suppose -q*w + 2 = -133. Let f = w + -21. Is f a multiple of 12?
True
Let u(n) = -n**2 - 3*n + 4. Let c be u(-3). Let y = c - 2. Is (-34)/3*(-3)/y a multiple of 16?
False
Let t be 4/6 + 112/3. Does 19 divide -4*-1*t/8?
True
Suppose -2*t + t = n + 39, 2*n = 2*t + 82. Does 11 divide 2 + 7/((-14)/t)?
True
Let i(s) = -4*s - 7. Let n = -11 + 4. Is 7 a factor of i(n)?
True
Let n(x) = 2*x**2 + 5*x - 5. Let m be 3*(-3)/(9/5). Is n(m) a multiple of 10?
True
Is 21 a factor of 1*4/(-12)*-3*34?
False
Let w = 418 - 148. Is w a multiple of 15?
True
Suppose l - 12 = 4*p, -2*l + 3*l - 14 = 5*p. Suppose -77 = -l*c - 9. Suppose c = 4*m + 1. Is 2 a factor of m?
True
Let a = 3 - 15. Let t(q) = 2*q**3 + 11 + 12*q**2 + 0*q**3 - 2*q - q**3 + q. Does 8 divide t(a)?
False
Let b(k) = k + 3. Let f be b(0). Suppose 105 = 2*q + f*q. Is 9 a factor of q?
False
Let g(p) = 35*p - 3. Let h(i) = 1. Let z(b) = g(b) + 6*h(b). Does 9 divide z(1)?
False
Let x = -5 - -7. Suppose i - 6*i = -20, 0 = x*y - 4*i - 4. Is y a multiple of 6?
False
Suppose -3*f + 2 + 4 = 0. Let z(o) = -o + 6. Let a be z(6). Suppose a = -f*