ppose 0 = -m*p - 2*p + 40. Does 5 divide p?
False
Let j = -55 - -67. Is 12 a factor of j?
True
Let x be 5 - (0 + 0 + -1). Suppose -x = -3*s + 6. Suppose 5*g = -5*q + 100, 0 = -3*g + s*g - q - 16. Is 9 a factor of g?
True
Does 2 divide (-24)/28*56/(-12)?
True
Let u = 27 + 53. Is 7 a factor of u?
False
Suppose 13 = -3*k - 2, 3*k = -2*h - 197. Let z = h + 131. Is z a multiple of 10?
True
Let i(z) be the second derivative of z**4/12 + z**3 + 2*z**2 + z. Let k be i(-7). Let h = -2 + k. Is 9 a factor of h?
True
Is 260 - (-1)/2*2 a multiple of 29?
True
Is 13 a factor of ((-39)/5)/((-7)/35)?
True
Let s = -12 + 21. Let r be (-15)/s - 1/3. Does 20 divide r + (41 - 2) - -3?
True
Suppose -2 = -4*i + 14. Suppose 8 = -3*u - 4*m, -5*u - i*m = -m - 5. Let g(t) = t**2 - 2*t + 2. Is g(u) a multiple of 10?
True
Let m be 9/(-2)*(-6)/9. Suppose -4*o + 4*j + j = -195, 0 = m*o + 3*j - 126. Does 15 divide o?
True
Let n(x) = -x**2 - 9*x - 5. Suppose -24 = 2*o + 2*o. Does 13 divide n(o)?
True
Suppose 0*a - 5*a = 80. Let w(l) = -l**2 - 17*l + 17. Is 17 a factor of w(a)?
False
Let x be (1 - 4)/(-1) - -5. Let o(m) = -m**2 + 20*m - 8. Let k be o(x). Let h = k - 61. Is 10 a factor of h?
False
Suppose -2*w + 223 = -5*g + 2*w, 3*w = 2*g + 92. Let f = g - -75. Does 16 divide f?
True
Let y(q) = 9*q - 21. Does 13 divide y(11)?
True
Suppose 832 = -6*v + 10*v. Is v a multiple of 31?
False
Let u(w) be the third derivative of w**4/24 - w**3/6 - 3*w**2. Let n be u(7). Suppose 0 = -n*j + 2*j + 36. Is j a multiple of 9?
True
Let c(u) = -u**2 + 13*u + 3. Suppose 0 = 4*d - 5 - 31. Does 13 divide c(d)?
True
Suppose -k = -5*k - 112. Let t(r) = -r**3 - r**2 - r - 2. Let i be t(0). Is i/(-6) - k/6 a multiple of 2?
False
Suppose 2*t - 12 = -0*t. Let h be t/(-8) + 117/12. Let z = h + 5. Is z a multiple of 7?
True
Is 9 a factor of 3/2*(-10 + 54)?
False
Suppose 4*v = -2*q + 62, -2*v = 3*q - q - 32. Is v a multiple of 5?
True
Suppose 0 = -5*m + 5*z - 11 - 54, -2*z + 48 = -4*m. Let d = m + 16. Suppose d*n + 4 = -5*w + 74, 0 = -n - 5. Does 8 divide w?
False
Suppose 2*w + 4*r + 4 = -0*w, 3*w = 5*r + 27. Does 3 divide w?
False
Let x = 385 + -133. Is x a multiple of 21?
True
Let b(k) = -2*k - 4. Let f = 16 + -8. Let y(d) = d - 11. Let p be y(f). Is b(p) a multiple of 2?
True
Let c(q) = 7*q**3 - 3*q**2 + q + 2. Does 12 divide c(2)?
True
Let i(f) = -2*f**2 - 3 - 4 - 6*f + 3*f**2. Let s be i(5). Let w = s - -32. Is w a multiple of 12?
False
Suppose -5*v + 132 = -68. Is 10 a factor of v?
True
Let s be (-10 - -7)/((-6)/(-16)). Is 10 a factor of (12/3)/((-2)/s)?
False
Let x be (0 - 0) + (4 - -1). Suppose -311 = -x*v + 154. Let a = v - 48. Does 18 divide a?
False
Suppose -45 = -3*y + 126. Is y a multiple of 15?
False
Let p = -18 - -20. Is p a multiple of 2?
True
Let y be (-4)/6 - 1780/(-15). Suppose 5*b - 3*u - 25 - y = 0, -3*b - 5*u = -113. Is 13 a factor of b?
False
Let q = 83 + -47. Suppose 3*t - 237 = -q. Is 24 a factor of t?
False
Suppose -k = -2*n - 2*n, 0 = -4*n + 4*k + 12. Let z be n/(-3) + (-206)/6. Is -3 - ((z - 3) + -2) a multiple of 15?
False
Suppose 15 = y + 2*w, 0*w - 15 = y - 4*w. Suppose 44 = y*t + j, -4*t + 0*t = 4*j - 48. Is t a multiple of 8?
True
Let z = -53 - -75. Is 8 a factor of (z*-1)/(2 - 4)?
False
Let y(w) = w**3 - 9*w**2 - 9*w - 8. Let d be y(10). Suppose 3*o - 35 = -4*l, 1 = -d*l + 3*o + 14. Is 8 a factor of l?
True
Let a(h) = h**2 + 5*h + 2. Let o be a(-5). Let x(i) = 28*i**2 + 2*i + 1. Let n be x(o). Let j = -75 + n. Does 21 divide j?
True
Suppose 4*f + 801 = 8*f + 5*r, -4*f + 4*r = -828. Does 17 divide f?
True
Let p(b) be the second derivative of -b**3 - 1/12*b**4 + 0 - b + 7/2*b**2. Is p(-5) a multiple of 12?
True
Does 22 divide ((-5)/((-30)/352))/(1/3)?
True
Let r(b) = 30*b + 32. Is r(8) a multiple of 17?
True
Suppose 2*w - 30 = 90. Does 12 divide w?
True
Suppose 2*q - 2*g = -0*g + 38, -4*q + 52 = 2*g. Does 15 divide q?
True
Let v = 1520 + -1085. Does 20 divide v?
False
Let r(g) = -g**3 - 5*g**2 + 3*g + 2. Let q(p) = p**3 - 4*p**2 - 2*p + 2. Let z be q(4). Does 10 divide r(z)?
True
Suppose 5*s + 500 = 5*h, h - s - 100 = s. Is 10 a factor of h?
True
Let t = -273 - -385. Is 9 a factor of t?
False
Let k be 30/1 - 0/2. Let d = 46 - k. Does 14 divide d?
False
Does 6 divide (32/12)/(6/63)?
False
Suppose 2*g = -2*g - 304. Let a = -38 - g. Is 10 a factor of a?
False
Let z = -5 + 10. Suppose -4*a + 2*s + 36 = 0, z*a = -s + 4 + 48. Is a a multiple of 3?
False
Let z be ((-87)/(-6)*-2)/(-1). Let j = -9 + z. Suppose 4*r - 2*r - j = 0. Is 10 a factor of r?
True
Suppose -2*a - 5*c = -23 - 27, -4 = -2*c. Does 2 divide a?
True
Let m = -2 - -2. Suppose 0 = -o + 3*t + 2 + 58, -o + 42 = 3*t. Suppose m = -3*q + 45 + o. Does 11 divide q?
False
Let t = -173 + 348. Does 25 divide t?
True
Suppose -2*l + 3*l + 5 = -4*c, -4*l + 2*c + 16 = 0. Suppose l*y + 0*y = -12. Let x = 23 - y. Is x a multiple of 22?
False
Let d(n) be the third derivative of -n**6/15 - n**5/60 - n**4/24 + n**2. Let f = 4 + -5. Is d(f) a multiple of 4?
True
Let j be (-3 - -1)/(2 - 3). Let f be j/6 + (-26)/(-3). Let i = f - 5. Is 2 a factor of i?
True
Let i = 145 - 103. Suppose 3*r - i = u + 4, 2*r = 2*u + 32. Is 9 a factor of r?
False
Let g(r) = 10*r**3 - r**2 + 1. Let m be g(-1). Let q = m + 17. Does 4 divide q?
False
Suppose l = -0*l + 63. Suppose -l = -3*k - 0*k. Is k a multiple of 7?
True
Is -5 - -61 - (-1)/(-1) a multiple of 14?
False
Suppose -3*d + 38 = -6*d - n, -2*n = 2*d + 20. Is 2 a factor of (-8)/d*(-21)/(-6)?
True
Suppose 2*c + 0*c - 106 = 0. Let b = 122 - c. Is b a multiple of 23?
True
Suppose x = -4*g + 37, -8 = -x + 2*g + 11. Is 6 a factor of x?
False
Suppose -4*j = 5*l - 9*j - 395, 423 = 5*l + 2*j. Is l a multiple of 16?
False
Is ((-166)/6)/(7 - (-129)/(-18)) a multiple of 16?
False
Suppose c + c + 2*b = 100, -4*c + 3*b + 228 = 0. Suppose c - 16 = 2*r. Is r a multiple of 18?
False
Suppose -7*i + 787 = 234. Does 20 divide i?
False
Let a(n) = -2*n + 58. Is a(0) a multiple of 12?
False
Let s(d) be the second derivative of -d**4/12 + 5*d**3/6 + d**2 - d. Suppose -6*l = -27 - 3. Is 2 a factor of s(l)?
True
Let u = 8 + -5. Suppose -5*g + 61 = d, 2*d - 123 = -d - u*g. Is 18 a factor of d?
True
Suppose 2*y - 2 + 1 = b, -20 = 4*b. Is 17/((-3)/(y - 7)) a multiple of 13?
False
Suppose 7*b = 2*b + 40. Suppose 0 = -n - 2*n - 48. Let i = b - n. Is 10 a factor of i?
False
Let k be 12/6 + -36 + 1. Let d = 59 + k. Is 13 a factor of d?
True
Let a = 94 - 29. Let x be -4*(-54)/(-8)*1. Let f = x + a. Is f a multiple of 15?
False
Is 23 a factor of (322/(-35))/(-1 - 12/(-15))?
True
Let b(d) be the first derivative of -7*d + 1 - 3/2*d**2. Does 7 divide b(-7)?
True
Let r = 51 + -9. Does 14 divide r?
True
Let s be (54/15)/(4/(-10)). Is 20 a factor of (80/3)/((-3)/s)?
True
Let q(l) = -l**2 - 5*l. Let y be q(-5). Suppose 0 = -4*n - 4*d + 188, y = n - 5*n - 5*d + 188. Is n a multiple of 7?
False
Suppose 3*y + 72 = -y. Is 12*(-2)/16*y a multiple of 8?
False
Let i = 49 + -13. Is i a multiple of 10?
False
Let v = -7 - -40. Suppose -2 - v = 5*j. Is 11 a factor of (-6)/21 - 156/j?
True
Suppose 0*s + 1 = 3*q - s, 2*q = -4*s + 24. Suppose -c + 6 = q. Suppose -c*x - 4*d + 56 = 0, 0*d = -4*x - d + 50. Is 12 a factor of x?
True
Suppose 0 = h + 3, 0 = 5*k + 6*h - h. Let m(t) = 2*t**3 - 2*t**2 + 2*t - 6. Is 12 a factor of m(k)?
True
Let r = 17 + -12. Suppose 0 = -r*b + 110 + 10. Is 14 a factor of b?
False
Let v(f) = -8*f + 1. Let d(a) = 5*a**2 + 4*a - 2. Let o(t) = 11*t**2 + 9*t - 4. Let c(g) = 13*d(g) - 6*o(g). Let s be c(-2). Is v(s) a multiple of 17?
True
Suppose -4*l + 264 = -196. Does 19 divide l?
False
Let p(i) be the third derivative of i**5/60 - 5*i**4/12 + 7*i**3/6 - 2*i**2. Let k be p(9). Does 13 divide k/5 - 928/(-20)?
False
Let x(s) = 2*s**3 + 3*s**2 - 5*s - 3. Let l be x(-3). Let a be (-6)/(-4)*(-10)/l. Does 15 divide (2 + a)/(3/45)?
True
Let h be ((-6)/(1 - 4))/1. Suppose 8 = 5*b - h. Is b even?
True
Let x be (-6)/9 - (-22)/6. Is ((-1)/x)/((-2)/18) a multiple of 2?
False
Suppose -4*l - l + 390 = 0. Is l a multiple of 25?
False
Suppose 3*c = 84 + 1230. Is 13 a factor of 1/(-1)*c/(-6)?
False
Let r(m) = 9*m**2 + m + 4. Let s be r(-3). Suppose -7*p = -9*p + s. Suppose n = -0*n + p. Is n a multiple of 12?
False
Does 4 divide (1 + -2)/(2/(-56))