e -l - 52 = -a*l. Is 26 a factor of l?
True
Suppose -5*b = -3*h - h + 27, b = -3. Suppose -37 = -j - h*r + r, 36 = j + 3*r. Is j a multiple of 13?
True
Suppose 3*j + 2*s = 2, 6*j = 2*j + 5*s + 41. Suppose -j*p + 11 = -9. Suppose 2 = -w - p*x - 7, 2*w - 22 = -2*x. Does 8 divide w?
True
Let a be (21/(-28))/((-2)/(-72)). Suppose -b + 60 = -0*d + d, 5*b = 5*d + 270. Let y = b + a. Does 10 divide y?
True
Suppose -3*d + 177 = 3*q, 2*q + 3*d = -0*q + 123. Does 11 divide q?
False
Suppose -4*c - 58 = -3*a, -a + 2*a + 2 = 0. Let b = -9 - c. Let h(i) = 3*i + 4. Is h(b) a multiple of 11?
False
Let p be (-3)/((-9)/3)*1. Suppose -2*x + 3 + p = 0. Suppose 0 = 2*s + 10, x*y = -s - s + 2. Is 5 a factor of y?
False
Suppose 0 = 3*j - 3*r - 195, 4*j - 209 = j - 4*r. Suppose a - j = -19. Is 17 a factor of a?
False
Suppose -30 = -3*x + x. Does 6 divide 6/x*(-1 + 61)?
True
Suppose -l + 3*o - 183 = -76, 0 = -l + 5*o - 117. Let t = -50 - l. Is 14 a factor of t?
True
Suppose 11*c - 2*c - 279 = 0. Does 31 divide c?
True
Let a(k) = -k**3 + 4*k**2 - 3*k + 1. Let j be a(3). Let i be (-4)/8*14*j. Let q(o) = o**2 + 6*o - 3. Is q(i) a multiple of 4?
True
Let n(y) = y - 7. Is 7 a factor of n(18)?
False
Suppose -19 - 64 = -2*u + 5*x, 0 = 3*u + 2*x - 96. Suppose 0 = 4*t - 3*a - u, 24 = 2*t - 0*t + 2*a. Let z = t + 6. Does 5 divide z?
False
Let l = -16 - -20. Suppose -p = -l*p + 63. Is p a multiple of 6?
False
Let k be -3*((-4)/(-12) + 1). Is 18 a factor of ((-60)/(-14))/(k/(-84))?
True
Suppose 3*l - 4*w - 214 = 0, -w = -2*w + 2. Is 8 a factor of l?
False
Suppose -5*c - 4*h = 20, -3*c - 2*h = -2*c + 10. Suppose 0*q - 2*q + 208 = c. Suppose 3*u + 35 - q = 0. Is 7 a factor of u?
False
Suppose 6*o - 384 = -2*o. Is 8 a factor of o?
True
Let w = 22 + -15. Is (-2)/7 + 254/w a multiple of 13?
False
Is 78 + (4*-1)/4 a multiple of 22?
False
Let q(c) = -c**3 - 2*c**2 + 4*c + 2. Let o be q(-3). Let v be (-2 - 0 - o)*-1. Is -2 - (-1 - (v + 28)) a multiple of 14?
True
Suppose 2*f = 4*f - 4. Let y = f + 0. Does 2 divide y?
True
Let o = 4 - -4. Suppose -o = -w + 6. Suppose w + 16 = 5*j. Does 4 divide j?
False
Let x(s) = s**3 - 5*s**2 + 4*s - 6. Does 27 divide x(6)?
True
Let c(d) = -d**3 + 8*d**2 - 8*d + 5. Let y be c(7). Is 2 a factor of y + 1 + 2 - -2?
False
Suppose -4*k = 49 - 137. Is k a multiple of 22?
True
Suppose 5*a + 1114 = -4*y, -978 = 4*a + 2*y - 88. Let i be (-3)/4 + a/(-8). Suppose -i = 3*s - 78. Does 17 divide s?
True
Let y(n) = 1 + 3 - 2*n**2 - 5 - 7*n**3 + 3*n**2. Is 5 a factor of y(-1)?
False
Suppose -4*x = -3*f + 115, f - 29 = -3*x - 8. Does 32 divide f?
False
Suppose v + 95 = -20. Let p = v + 66. Let q = p - -88. Does 13 divide q?
True
Suppose 0 = -y - 3*t + 338, -t + 20 = 3*t. Is 16 a factor of (-1 - -4)*y/57?
False
Let c be 2/(-3)*(-5 + -4). Is 47/3 - (-2)/c a multiple of 16?
True
Let g be 2/4*(-30)/(-3). Let v(c) = 3*c - 4. Does 4 divide v(g)?
False
Suppose -13*w - 72 = -17*w. Is w a multiple of 5?
False
Is 11 a factor of (2/(-4))/((-6)/1320)?
True
Suppose 5*g = -2*w + 314, -3*g + 6*g - 5*w - 207 = 0. Is g a multiple of 30?
False
Is (-1 + 206)*(8/20 - 0) a multiple of 41?
True
Suppose 4*v + 88 = 4*c, 9 = -2*v - v. Let z = 30 + c. Is 17 a factor of 2*3/(-2) + z?
False
Let b(v) = -15*v**3 - 2*v**2 - 2*v - 1. Is b(-1) a multiple of 5?
False
Suppose 0 = -3*a - 0*a. Suppose -d - 2*c + 15 = 0, -3*c + c + 10 = a. Is 5 a factor of d?
True
Suppose -100 = -3*t - 4*p - 16, 3*p = -9. Suppose -2*a - 3*v - 2 = -t, -2*a + 42 = -3*v. Suppose 5*x = -3*y + a, 3*y - 7*y + 24 = 3*x. Does 3 divide y?
True
Let r = -1 - 1. Let v = 23 + r. Is v a multiple of 7?
True
Let a(p) = 29*p**2 + 3*p - 3. Let v be a(2). Let i = -52 - 5. Let k = v + i. Does 18 divide k?
False
Let f(g) = 8*g**2 - 13*g - 9. Let t(r) = -7*r**2 + 12*r + 9. Let m(s) = -6*f(s) - 7*t(s). Is m(9) a multiple of 6?
True
Let i(u) = u**2 - 6*u - 2. Let o be i(6). Does 6 divide o/(-4) - (-43)/2?
False
Suppose 36 = -5*t + 356. Suppose 3*h + t = 5*h. Does 11 divide h?
False
Suppose 3*u - 3 = u + 5*k, -3*u + 2*k + 10 = 0. Suppose -60 = u*o - 7*o. Does 10 divide o?
True
Suppose 5*p = 198 + 177. Does 33 divide p?
False
Let q(o) = 2*o + 15. Let b be q(7). Let a = 43 - b. Is 7 a factor of a?
True
Suppose -3*p = 4*j - 5*j - 1, 5*j + 5 = 3*p. Let w = 5 + j. Suppose 5*q - w*b - 231 = 21, 3*b + 201 = 4*q. Is 24 a factor of q?
True
Suppose 3*y + 2*v = -156, 0 = y + 2*v - 7 + 55. Let h = -30 - y. Is h a multiple of 12?
True
Suppose -4*f - 3*p - 11 = 36, -3*f - 2*p = 36. Let b = f - -20. Is b even?
True
Let n = 161 - 74. Is 29 a factor of n?
True
Suppose -5*c + 16 - 6 = 0. Suppose -3*j - c*j = 0. Suppose -3*q + 33 + 21 = j. Does 7 divide q?
False
Let z be ((-8)/10)/(2/(-295)). Let s = -50 + z. Suppose 0 = -4*i + 2*i + p + 34, -4*i + s = p. Is 7 a factor of i?
False
Does 5 divide -1*(-12)/(-8)*-6?
False
Let o = -1 - 2. Suppose -3*h + 6 - 15 = 4*a, -31 = a - 5*h. Does 3 divide (a/(-4))/(o/(-8))?
False
Let p(o) = 33*o - 11. Let w(f) = -8*f + 3. Let s(z) = 3*p(z) + 11*w(z). Is 15 a factor of s(3)?
False
Suppose 0 = -3*x + x - 72. Let i = -23 - x. Let p = i + 4. Is p a multiple of 9?
False
Let g(a) = 6*a**2 + a - 1. Let h be g(-2). Let z = -34 + h. Let v = -9 - z. Is 4 a factor of v?
True
Suppose 0*y - 5*y = 2*t - 143, 2*t - 114 = -4*y. Is y a multiple of 5?
False
Let g = -260 - -685. Is 29 a factor of g?
False
Suppose 4*p - 4*b = -32, -4*b - 15 - 2 = 3*p. Let m(t) = -t**3 - 6*t**2 - 7*t - 1. Let q be m(p). Suppose 5*i + 17 = q. Does 8 divide i?
True
Suppose -3*j + 2*o + 154 = 2*j, 0 = 5*j - 5*o - 145. Is 16 a factor of j?
True
Let d = 44 + 61. Is 15 a factor of d?
True
Let g = 64 + 12. Does 8 divide g?
False
Suppose -91*z + 162 = -88*z. Is 27 a factor of z?
True
Let c(j) = -2*j - 4. Let p be c(-3). Suppose -q = -9 + p. Does 7 divide q?
True
Let b(l) = -5*l**2 + 26*l - 1. Does 2 divide b(5)?
True
Let m = -41 + 75. Is m a multiple of 17?
True
Suppose 3*g - 67 = 3*t + 56, 4*t = -20. Does 18 divide g?
True
Is 23 a factor of 18/(-27) + 140/3?
True
Let y(w) be the third derivative of w**5/30 + w**4/3 - 13*w**3/6 - 4*w**2. Does 6 divide y(-7)?
False
Let o(q) = -q**3 - 4*q**2 - 3*q. Let a be o(-4). Suppose 4*v - 88 = -a. Is v a multiple of 4?
False
Suppose 3*m = -5*q + 1, -51 = -3*m - 2*m + 4*q. Is 7 a factor of m?
True
Let o(z) = 3*z**2 + z + 16. Does 17 divide o(4)?
True
Suppose 0*j = 10*j - 860. Is 39 a factor of j?
False
Let h be ((-18)/15)/(1/(-10)). Let y = h - -2. Let z = y + -10. Is z a multiple of 4?
True
Suppose 0 = -k + 3*w + 96, -6*k + 8*k = 2*w + 192. Is k a multiple of 12?
True
Let m = -124 + 202. Is m a multiple of 13?
True
Suppose -4*u + 5*n = -22 - 26, u = -2*n - 1. Is u a multiple of 2?
False
Suppose -12*c + 1026 = -498. Is c a multiple of 13?
False
Is (48 - 5)*(3 + -2) a multiple of 8?
False
Let i(g) = g**2 + 2*g - 3. Let r be i(4). Let t = r - 13. Suppose 5*q - q = t. Does 2 divide q?
True
Let j = -8 + 11. Suppose -j*s = -2*s - 12. Suppose 0 = -3*y + 2*y + s. Is y a multiple of 12?
True
Let r(h) = 4*h**2 - 2*h - 2. Is r(4) a multiple of 17?
False
Suppose 2*k + 4*z = -4 + 12, 0 = -4*k - z + 9. Suppose 0 = 5*h - i - 41, -2*i = -k*h + 4*h - 14. Suppose -4*v + h*v = 32. Is 4 a factor of v?
True
Let d be (5 - 1)*(-8)/16. Does 17 divide 36 + 2 + 0 + d?
False
Suppose 0*a + 434 = 2*a + 2*z, 2*a + 3*z = 439. Is 9 a factor of a?
False
Let j(n) = n**3 + 16*n**2 + 14*n + 6. Does 6 divide j(-15)?
False
Let y(k) = -7*k**2 + 4*k - 2. Let a(x) = -x**2 - x + 1. Let u(o) = -6*a(o) + y(o). Is 13 a factor of u(7)?
True
Let r(f) = 2*f**3 - 2*f**2 + f + 2. Suppose 5*g + 12 = 2*g. Let o = g - -6. Is 4 a factor of r(o)?
True
Is 143 + -9 - 3/(-6)*2 a multiple of 45?
True
Let l = -17 + -28. Let n = 63 + l. Is 9 a factor of n?
True
Let o(m) = 3*m + 14. Is 4 a factor of o(8)?
False
Let q(t) = -6*t + 4 + 3*t**2 + t - 2*t**2. Is q(6) a multiple of 5?
True
Let n be 753/12 - (-1)/4. Suppose -9*j = -8*j + 22. Let m = n + j. Is m a multiple of 18?
False
Let w = -28 - -21. Let y(x) = -2 - 3 - x**2 - 1 - 10*x. Is 13 a factor of y(w)?
False
Let d = 6 + 17. Does 11 divide d?
False
Let c(u) = -u**3 + 8*u**2 + 3*u + 4. Suppose 3*q - 7 = -4, 3*i - q = 23. Does 12 divide c(i)?
False
Suppose 5*a - 209 = -19. Suppose 0 = -m - y + 22, m - 4*y - a = -m. Does 7 divide m?
True
Let m(x)