rd derivative of -a**5/60 - a**4/8 + a**3/3 - a**2. Let n(r) be the first derivative of g(r). Does 7 divide n(-8)?
False
Suppose 4*h - 219 = q, 0*h + 122 = 2*h + 2*q. Is h a multiple of 14?
True
Let v = -12 - -14. Does 7 divide 7/(4/24*v)?
True
Let v(f) = -f**3 - 10*f**2 - 12*f - 11. Is v(-9) a multiple of 4?
True
Suppose 4*b + 2*i = 9*b - 2, -b + 6 = i. Suppose -2*n + 3*n + 13 = -5*k, -b*n = -2*k - 22. Suppose w = n + 17. Does 12 divide w?
True
Suppose -3*b = s - 211, 0 = -4*s + s + 3*b + 645. Is 25 a factor of s?
False
Let t(k) be the third derivative of -k**6/120 + 3*k**5/20 - k**4/6 - k**3/6 + 2*k**2. Is t(8) a multiple of 31?
True
Let y(g) = g**3 + 7*g**2 + 8*g + 2. Is y(-4) a multiple of 9?
True
Suppose -q - k = -97, -2*k + 0*k - 2 = 0. Does 27 divide q?
False
Let h = 144 - -22. Is h a multiple of 18?
False
Suppose -39 = -4*y - 3*q, -5*y + 47 + 28 = -5*q. Is y a multiple of 6?
True
Let t be 1 + -1 + -3 + 5. Suppose 2*y = g - t, 2*y + y + 16 = -5*g. Let a(n) = -7*n - 1. Does 10 divide a(g)?
False
Let r = -2 + 3. Let c(v) = 20*v**3 + 5*v**2 + v. Let d(j) = -41*j**3 - 11*j**2 - 2*j. Let u(l) = 13*c(l) + 6*d(l). Does 13 divide u(r)?
False
Suppose 0 = 5*t + 7 + 53. Let f = 9 - t. Is 7 a factor of f?
True
Let k be 66/3*(1 - 0). Let h = k + -7. Suppose -h = -m - 0*m. Is 15 a factor of m?
True
Suppose p + 5*u - 87 = 0, p + 207 = 4*p - 3*u. Is 9 a factor of p?
True
Let k(o) = o**2 + 4*o + 3. Let n = 2 - 6. Let s be k(n). Suppose -33 = -s*w - 0*w. Is 11 a factor of w?
True
Let q = 3 + 1. Suppose 72 = 5*v + 4*p, 2*p + 0 = -q. Is 8 a factor of v?
True
Suppose -x - 27 + 91 = 0. Is 14 a factor of x?
False
Suppose -i + 2 = -0*i. Does 2 divide i?
True
Suppose 21 + 18 = 3*m. Is m a multiple of 7?
False
Let r(n) = n**2 - n + 45. Is r(0) a multiple of 15?
True
Suppose 3*u + 5 = q - 48, -u = q - 53. Is q a multiple of 16?
False
Let s = 161 + -127. Is 17 a factor of s?
True
Let c = -63 + 283. Is 20 a factor of c?
True
Suppose -x - 9 = -4*c - 0*x, -2*x - 2 = 0. Suppose c*r = -4 - 0. Let k(i) = -10*i - 2. Is 7 a factor of k(r)?
False
Let m(i) be the third derivative of i**5/30 + 3*i**4/8 + 4*i**3/3 - 3*i**2. Is m(-6) a multiple of 17?
False
Let y(o) = -o**3 + o**2 + o + 5. Let q be y(0). Suppose u + 14 - q = 0. Is 15 a factor of (-5)/((3 + 0)/u)?
True
Suppose 5*o - 25 = -3*c, 0 = 5*c - 0*c + 4*o - 46. Does 3 divide c?
False
Let t = -14 + 72. Let c = 94 - t. Suppose -4*i + 4*m - 28 = -6*i, -c = -4*i - 4*m. Is i even?
True
Let p(z) be the second derivative of -z**4/12 + z**3 - 5*z**2/2 - z. Let x be p(5). Suppose 0 = 4*u + 12, 2*u = -x*n + 2*n - 56. Is 25 a factor of n?
True
Let p be (16 + 1)*(0 + 1). Suppose 2*g + 37 = 5*r - p, -r - g + 8 = 0. Does 10 divide r?
True
Let n = -62 + 116. Is n a multiple of 13?
False
Let f = -1 - -9. Does 8 divide f?
True
Is (-5831)/(-51) - ((-8)/6)/2 a multiple of 29?
False
Does 17 divide (1 + -18)/(0 + -1)?
True
Let h(i) = i**3 - 4*i**2 + i. Does 10 divide h(5)?
True
Let q = -3 + 70. Is q a multiple of 15?
False
Let l(h) be the third derivative of -h**4/24 + h**3/6 - h**2. Does 12 divide l(-11)?
True
Let d = -4 + 22. Is 3 a factor of d?
True
Is 15 a factor of ((-6)/10)/((-3)/75)?
True
Let l(b) = 4*b**3 + 7*b**2 + 2 - 5*b**2 - 3. Let y be l(1). Does 15 divide 4/(-10) - (-192)/y?
False
Suppose 0 + 2 = w. Let q be 3/(-6)*(1 - 1). Suppose -3*y + 20 = 4*o, 6*y - w*y + 4*o - 24 = q. Is y a multiple of 2?
True
Let y be (24/14)/(2/140). Suppose -4*v - v + y = 0. Is v a multiple of 7?
False
Suppose 5 = 4*c + 2*y - 1, 4*c + 3*y = 9. Suppose -3*w + c*w = -12. Suppose w*n = -n + 115. Is n a multiple of 12?
False
Let o(y) = 4*y + 1. Let k be o(3). Suppose 0 = -n + k - 4. Suppose 3*r = 2*r + n. Is r a multiple of 9?
True
Suppose -4*x = -3*x - 2*b + 6, 0 = 5*x + 3*b + 4. Let p = 3 + x. Does 12 divide ((-1)/2)/(p/(-68))?
False
Suppose -2*h = 1 + 3. Let w be (9 + 0)*h/(-6). Suppose -w = z - 13. Is 7 a factor of z?
False
Suppose -4*j + 229 = 3*t, 348 = 5*t - 5*j - 57. Is t a multiple of 23?
False
Let a(b) = b**3 + 2*b**2 + 2*b - 5. Let q(w) = w**3 + w**2 + w - 4. Let r(z) = 3*a(z) - 4*q(z). Let p be r(-1). Suppose -2*k = p*k - 68. Is 17 a factor of k?
True
Suppose -2*m + 73 = p, 0*m - 320 = -4*p - m. Does 9 divide p?
True
Let b(a) = 17*a. Suppose -5*d + 12 = -2*d. Is 17 a factor of b(d)?
True
Suppose 9*k - 6*k = -33. Let m = 12 - k. Is m a multiple of 23?
True
Let z(w) = 3*w - 7. Let s(p) = -p**2 + 6*p + 6. Let d be s(7). Let m = 8 + d. Is z(m) a multiple of 7?
True
Let l(m) = 7*m**3 + 2*m**2 + 3*m + 2. Let o(x) = -13*x**3 - 4*x**2 - 5*x - 4. Let s(n) = 11*l(n) + 6*o(n). Is s(-4) a multiple of 9?
True
Does 5 divide ((-4)/(-6) - 295/(-3)) + 1?
True
Let g(x) = 2*x + 6. Suppose l - 2*b + 10 = -0*l, 5*l - 3*b + 36 = 0. Let u be g(l). Is (-4)/(-6) + (-74)/u a multiple of 4?
False
Let t(i) = 4*i - i**3 + 3*i**2 - 2*i + 7 + 3*i**2 - 4*i. Is t(5) a multiple of 11?
True
Let c(i) = i**2 + 2*i - 3. Let m be c(-4). Suppose -m*d + 25 + 85 = 5*k, -4*d = -5*k + 101. Does 7 divide k?
True
Suppose 2*n - 3*d = -25 - 13, 5*d = 0. Let p = n - -27. Is 8 a factor of p?
True
Let t(p) = p**2 - 1. Let o be t(-1). Suppose -h + 3*h = o. Suppose 175 = 5*m - h*m. Does 10 divide m?
False
Let x = -10 + 92. Is x a multiple of 41?
True
Let k = -61 + 86. Is 2 a factor of k?
False
Suppose 0*w + 188 = 2*w. Is 22 a factor of w?
False
Suppose 3*s + 9 = -5*b - 58, 2*s + b = -54. Let d = s - -65. Is 10 a factor of d?
False
Let u(j) = 10*j - 5. Let y be u(6). Suppose 2*c + 2*m - 63 - y = 0, -94 = -2*c + 4*m. Does 16 divide c?
False
Let q(d) = 3*d + 5. Let v(l) = -l. Let w(t) = -q(t) - 2*v(t). Let n be w(-6). Does 11 divide (-2 + 1 - n) + 30?
False
Let p(h) = -3*h + 12. Let b(u) = -7*u + 25. Let d(m) = -4*b(m) + 9*p(m). Let a be d(-5). Suppose -a*o + 72 = -o. Is 18 a factor of o?
True
Suppose 0 = -p + 3*r + 18, 0 = 4*p - p + 2*r - 21. Let b = 13 - p. Suppose k + 2 - b = 0. Does 2 divide k?
True
Let o(s) = 2*s + 59. Is o(18) a multiple of 12?
False
Suppose 37 = -5*a + 212. Is a a multiple of 9?
False
Let x be (-3 - 9)/(9/(-12)). Suppose 4*q + 3*z = -36, 5*q = 5*z + 18 - 63. Let b = q + x. Does 2 divide b?
False
Let s(h) = h**3 + 8*h**2 - 8*h - 9. Is 24 a factor of s(-7)?
True
Suppose 0 = -4*p + 4*x, 2*x = p - 5*p + 24. Is p even?
True
Let x(t) be the second derivative of t**6/180 + t**5/40 - 5*t**4/24 + t**3/3 - t. Let m(r) be the second derivative of x(r). Is m(-5) a multiple of 10?
True
Let m be -3*(-4)/(-18)*12. Is ((-24)/6)/(2/m) a multiple of 14?
False
Suppose 2171 + 1105 = 12*w. Is 21 a factor of w?
True
Suppose 0 = -3*c - x - 1, -c - x - 1 = -0. Suppose 4*q + 32 = -c*q. Let j = 12 + q. Is j even?
True
Let h(y) = -y**3 + y**2 + 2*y + 4. Let k be h(4). Let u be (5 - 6)/(2/k). Suppose -f = f - u. Is f a multiple of 8?
False
Suppose 0 = -u - 5*k + 25, 0 = -0*k + 2*k. Is 9 a factor of u?
False
Let y(f) = -f**3 + 6*f**2 + f + 1. Suppose 5*p + 7 - 27 = 0. Is 23 a factor of y(p)?
False
Let c(s) = s**3 + 3*s**2 + 3*s - 3. Let z be c(-4). Let t = 50 - z. Suppose -2*k - 4*d = -9*d - 73, -2*k = 3*d - t. Does 16 divide k?
False
Let l(c) = -10*c + 7. Is 3 a factor of l(-2)?
True
Let c(o) = -4*o**3 + 2*o**2 - o + 26. Let s(f) = -5*f**3 + 2*f**2 - f + 26. Let m(b) = 6*c(b) - 5*s(b). Is 4 a factor of m(0)?
False
Suppose -4*s + 3*d = 2 - 16, 3*d + 6 = 0. Is 23 a factor of ((-1)/s)/((-4)/184)?
True
Does 26 divide (4/10)/((-1)/(-65))?
True
Is ((-72)/(-4))/(-2)*-21 a multiple of 9?
True
Let s(u) = 8*u**2 - 5*u + 6. Is 21 a factor of s(3)?
True
Let d(x) = -x**3 - 10*x**2 + 8*x + 7. Is d(-11) a multiple of 17?
False
Let i = -81 - -119. Is i a multiple of 12?
False
Is -8 - -203 - (5 - 2) a multiple of 32?
True
Let q = -3 - -10. Let k = 19 - q. Is 12 a factor of k?
True
Let z(k) = -k - 1. Let n(l) = -2*l - 5. Let v(u) = u - 8. Let q be v(6). Let i(x) = q*n(x) + 6*z(x). Is 18 a factor of i(-7)?
True
Suppose 14 = o - 13. Let x = o + -15. Is 5 a factor of x?
False
Let i = 8 - 4. Let j(d) = -3*d + d**2 + 4*d + i*d - 6. Does 18 divide j(-8)?
True
Let z = -76 + 117. Is 9 a factor of z?
False
Suppose 171 = -w + 4*w. Let m be ((-3)/6)/((-1)/2). Does 11 divide (-2)/(m + (-63)/w)?
False
Let u(n) = -5*n - 41. Is 11 a factor of u(-17)?
True
Let y = 0 - -1. Is 9 a factor of 5*(y + 2 + 3)?
False
Let l be (-5 + 6)/((