first derivative of -f**3/3 + f**2/2 + 80*f + 5. Is 20 a factor of l(0)?
True
Let y = -6 - -22. Let m be (-3)/(-1) + -10 + -1. Let n = y + m. Does 4 divide n?
True
Is 37 a factor of 8/((-8)/(-5)) - -429?
False
Suppose -5*n + 3 = 4*q + 2, -4*q - n + 13 = 0. Suppose 0*l - 60 = -q*l. Is 5 a factor of l?
True
Let x(o) = -o**3 + 3*o**2 + 6*o + 4. Suppose -i = -3*i - 8. Does 17 divide x(i)?
False
Let z(g) = 3*g**3 - 11*g**2 + 9*g - 15. Let b(t) = -4*t**3 + 10*t**2 - 10*t + 15. Let u(r) = 2*b(r) + 3*z(r). Is 14 a factor of u(13)?
False
Suppose 4*o - 2*u + 22 = 0, 0 = -5*o - 5*u - 14 - 6. Let f = o + 36. Is 12 a factor of f?
False
Let j = 603 - 351. Suppose -2*g + 72 = i + 3*g, 4*i + 2*g = j. Suppose 0 = -4*n - 2*v + i, -3*n + 0*n + 48 = 2*v. Is n a multiple of 7?
True
Is 18460/45 - 4/18 a multiple of 13?
False
Suppose -3*a + a = 2*m + 2, -35 = -5*a + 3*m. Suppose -a*o + 12 = -b, -2*b - b + 4*o = 44. Let k = 29 + b. Is k a multiple of 11?
False
Let f = 81 + -77. Is 3 a factor of f?
False
Suppose -4*p = -3*f + 58, 3*p + 42 = 2*f + 4. Suppose 4*z = 3*z + 3. Suppose r - f = z. Does 12 divide r?
False
Suppose 0 = -5*m + 40 - 15. Suppose -5*j + 5*r + 150 = 0, -7*j + 6*j + 4*r + 39 = 0. Suppose 3*b = m*s - 51, -j = -2*s - b - 0*b. Does 6 divide s?
True
Suppose 5*j + 4*j = 189. Is 3 a factor of j?
True
Suppose 1 = -r - 66. Let b = -16 - r. Is b a multiple of 17?
True
Let z = -7 - -49. Does 14 divide z?
True
Let q(n) be the second derivative of -n**4/12 + n**3 + 4*n**2 + n. Is 4 a factor of q(6)?
True
Let f(g) = g**2 + g + 5. Let i be f(0). Let m(t) = t**3 + 3*t**2 + 1. Let w be m(-2). Suppose 0 = -5*j + i*r + 40, -20 = -r + w*r. Is 2 a factor of j?
False
Suppose -6*d - 4*n = -d - 46, 3 = -3*n. Let h be (1*8)/(d/5). Suppose h*r = 4, 2*i = 6*i - 4*r - 32. Is 9 a factor of i?
True
Let f(i) = 2*i**2 + 10*i + 6. Let g be f(-7). Let w be 163/(-7) + 6/21. Let p = g + w. Does 11 divide p?
True
Suppose -5*t + 71 + 168 = -2*c, 4*c = 4*t - 184. Is 7 a factor of t?
True
Let g(o) = 6*o + 7. Let h(c) = 7*c + 8. Let q(t) = 6*g(t) - 5*h(t). Let m be q(4). Let y(i) = 2*i - 7. Is y(m) a multiple of 4?
False
Does 15 divide (240/9)/((-4)/(-18))?
True
Let a = -20 - -47. Is a a multiple of 27?
True
Let p = 37 - 15. Let a be (62/6)/(4/12). Let y = a - p. Is y a multiple of 9?
True
Let a = -4 - -9. Suppose 0 = a*c - 10*c + 40. Suppose c = 2*d + 3*r, 0*d = 4*d + 5*r - 16. Does 2 divide d?
True
Is 5 a factor of 58/5 - (-2)/5?
False
Let s be 25/(-2) + (-2)/4. Let u(x) = -x**3 - 13*x**2 - 9*x - 17. Is 25 a factor of u(s)?
True
Let s be (-10)/(-4)*12/10. Suppose 5*k - a - 7 = 6, 2*a = -s*k. Is (k/(-4))/(5/(-470)) a multiple of 17?
False
Suppose 4*r + 3*q = -q + 20, r - 4*q - 20 = 0. Suppose 2*i + 3*b + 2 = r, 2*b = -8. Does 4 divide i?
False
Let c(g) = -g + 12. Let i be c(6). Suppose -2*w = -i*w + 40. Is w a multiple of 3?
False
Let w be (0 - 1 - -4) + -3. Suppose -3*k + 6*k + 6 = w. Is 12/7*(-21)/k a multiple of 9?
True
Let o = -34 - -91. Is o a multiple of 19?
True
Suppose -185 = -2*k + f, -3*f + 402 - 37 = 4*k. Does 23 divide k?
True
Suppose -3 - 3 = 2*b + 2*y, 5*b - 2*y - 20 = 0. Does 8 divide 1 + (-14)/(-4)*b?
True
Let p be ((-22)/(-4))/((-1)/2). Does 11 divide 1/(2 - 3)*p?
True
Let b be 338/8 - 1/4. Suppose 0*a = -3*a - 3*p + b, 78 = 5*a + p. Does 15 divide a?
False
Is 15 a factor of -1 - (-45 + 8/(-4))?
False
Suppose 2*i + 252 = -4*m, 8 = -0*i + 4*i. Let g be ((-7)/(-14))/((-2)/m). Let h = 24 - g. Is h a multiple of 5?
False
Let v = 13 - 8. Suppose -47 = -w - v*k, 2*w = -w - k + 155. Is 13 a factor of w?
True
Suppose -63 = s - 4*s. Is 7 a factor of s?
True
Let o(x) = -2*x**2 + 22*x - 16. Is 3 a factor of o(9)?
False
Let x(i) = i**2 - 8*i - 9. Let g be x(9). Suppose 44 = a - g. Suppose -a = 3*p - 5*p. Is p a multiple of 11?
True
Suppose -2*l + 183 = 3*z + l, -4*z + 243 = 3*l. Is 32 a factor of z?
False
Let u be (-2)/((-3)/((-63)/3)). Is (-4)/10*(u + -26) a multiple of 16?
True
Suppose -m + 882 = 6*m. Is m a multiple of 9?
True
Suppose 56*f - 55*f - 73 = 0. Does 44 divide f?
False
Suppose -263 = -4*a - 3*z, 0 = -4*a + 7*z - 3*z + 228. Is 12 a factor of a?
False
Let g(s) = -s**2 + 19*s - 23. Is 7 a factor of g(15)?
False
Suppose 0 = -5*k + 2*j + 150, 2*k + 3*j = 2*j + 60. Is 9 a factor of k?
False
Suppose -6*w = -280 + 16. Does 22 divide w?
True
Is 9 a factor of (-6)/((-5)/35 - -3 - 3)?
False
Let x(j) = -j**2 + 4 + 3*j + 6*j - 10. Suppose a = n + 1, 0*a - 3*a + 4*n = 2. Is 12 a factor of x(a)?
True
Suppose -4*i + r + 184 = -r, -3*i + 133 = r. Suppose 3*j = 6*j - i. Is 7 a factor of j?
False
Suppose 0 = 4*t - 3*t - 48. Suppose -2*p - 2*p + t = 0. Is 12 a factor of p?
True
Let l = 151 - 121. Does 4 divide l?
False
Suppose 27 = -4*m - 29. Let j = m + 39. Suppose z - 4*v - 25 = 29, -5*v = j. Is 13 a factor of z?
False
Let t(i) = -i**3 - 3*i**2 - 4*i - 4. Let d(w) = w**2 + 11*w - 15. Let l be d(-12). Is t(l) a multiple of 4?
True
Let z = 1658 + -982. Is 13 a factor of 3/(-9) - z/(-12)?
False
Let y = 434 - 174. Is 52 a factor of y?
True
Let h = 280 + -167. Is 15 a factor of h?
False
Let q = -1 + -1. Does 14 divide 7*(2 + q + 2)?
True
Let x be (-28)/3*(-9)/6. Suppose 0 = 2*r - x. Does 3 divide r?
False
Is (2 + -2 + -1)*-40 a multiple of 20?
True
Suppose -4*n = -58 - 6. Is n a multiple of 8?
True
Let x(d) = 10*d. Is x(5) a multiple of 25?
True
Suppose 5*n - 139 = -14. Suppose 5*m + 0*m - n = 0. Suppose 0 = -2*y - 8, -m*j + y + 24 + 40 = 0. Is j a multiple of 6?
True
Let i(z) = z**3 - 3*z**2 - 2*z + 3. Let w be i(3). Let n(r) = -19*r + 3. Let j be n(w). Suppose 3*l - j = -l. Is 15 a factor of l?
True
Let n(r) = r**3 - 12*r**2 + 15*r + 14. Let q be n(11). Let v = q - 35. Does 6 divide v?
False
Let o = 27 + 25. Does 20 divide o?
False
Let o(s) = s + 29. Does 5 divide o(-14)?
True
Suppose 8*t + 280 = 10*t. Is t a multiple of 8?
False
Let f(p) = -p**2 + p + 10. Let n be 25/4 + (-1)/4. Let c be 0/(n/3 - 0). Is 10 a factor of f(c)?
True
Suppose -h + 2*u = -10, -h - 2*u - 1 = -3. Suppose 160 = h*y - 2*y. Suppose -2*j + 4 = -y. Does 11 divide j?
True
Suppose -2*r + 57 = 2*u + u, -27 = -r - u. Is 9 a factor of r?
False
Suppose -y + 3 = -3*i, -2 + 3 = -2*y - i. Suppose -3*w - 55 = -4*q, y = -2*w + 1 - 3. Suppose f + 0*f = q. Does 13 divide f?
True
Let i(l) = -l - 6. Let j be i(-5). Let a be 1 + -4 - (j + 0). Is 13 a factor of ((a - -2) + -26)/(-2)?
True
Suppose 0 = 8*b - 14*b + 48. Does 8 divide b?
True
Let t(y) = -y**3 + 9*y**2 - 10*y - 1. Does 9 divide t(7)?
True
Suppose -y - q = -62, -y - 4*q = -2*y + 77. Is y a multiple of 13?
True
Suppose -3*z - 4*s + 124 + 335 = 0, 5*s + 643 = 4*z. Does 16 divide z?
False
Suppose -4*n + 6 = -2*n. Suppose n*d = -2*d - j + 130, -4*j = 2*d - 34. Let b = d - 18. Is 5 a factor of b?
False
Suppose 4*r = -4 + 28. Suppose -6 = -3*f + r. Is f even?
True
Suppose 3*j = -2*k - 28, k + 4*j + 20 = j. Let m be ((-6)/(-4))/((-4)/k). Suppose 5*w + m = -7, w + 41 = 3*b. Is 7 a factor of b?
False
Suppose -2008 - 122 = -5*i. Suppose i = 5*k + 111. Is k a multiple of 18?
False
Let q = -35 - -25. Let f(d) = d**2 + 8*d - 1. Does 9 divide f(q)?
False
Suppose -6 = -3*t - 75. Suppose f + 5*s = 7, 2*s + 13 = -5*f + s. Let l = f - t. Is l a multiple of 10?
True
Suppose -5*b - 2*u - 6 = 2, -2*u = -2*b + 8. Suppose 2*g + 10 = b, 4*c + 4*g + g - 47 = 0. Is (c/5)/((-6)/(-20)) a multiple of 12?
True
Let t = 20 + -16. Suppose -3*i + t*c + 118 = 39, -2*i + 4*c + 54 = 0. Is 8 a factor of i?
False
Let g(t) = -2*t - 9. Let l be g(-6). Suppose 4 = i, 0*i = l*j - 5*i - 7. Is 9 a factor of j?
True
Let k be (-6 - 1)/(2/(-8)). Suppose 0 = -3*j + k + 2. Is 10 a factor of j?
True
Let d(h) = h**2 - 3*h - 21. Is 6 a factor of d(-6)?
False
Let f = 26 + -18. Let w = f + 21. Is 8 a factor of w?
False
Let b = -102 - -316. Does 15 divide b?
False
Suppose 3*j - 31 = 2*s, s = 4*s + 15. Let p(x) = x**2 + 2*x. Let f be p(j). Suppose -4*n + 3*y = -f - 1, -64 = -4*n + 5*y. Is 16 a factor of n?
True
Suppose 0*f + 2*f = 5*u + 210, 0 = 3*f + 3*u - 273. Is 21 a factor of f?
False
Let q = -282 - -397. Does 19 divide q?
False
Let z(t) = -6*t. Does 36 divide z(-6)?
True
Let f(r) = 2*r**3 + 28*r**2 + 8*r - 1. Is 16 a factor of f(-13)?
False
Let w(f) = -3*f + 2 + 5*f - f + 2*f. Is w(2) a multiple of 8?
True
Let c = -59 + 8