 -b**2 - 7*b + 7. Let g(c) = -c**3 - 10*c**2 - 3*c. Let o be g(-10). Suppose -7*p - o = -2*p. Does 13 divide d(p)?
True
Suppose -6*b + 12 = -2*b. Let a(h) be the third derivative of 5*h**4/24 - h**3/6 - 3*h**2. Is a(b) a multiple of 7?
True
Let w(r) = 31*r - 15. Is 28 a factor of w(3)?
False
Suppose 0 = -3*q - 84 + 240. Is q a multiple of 6?
False
Suppose -2*r + 43 + 11 = -5*v, 5*r = -v. Let c = -6 - v. Suppose c*o + 43 = 5*i, -3*o + 42 = 2*i + i. Is 11 a factor of i?
True
Let j(z) = z**2 - 6*z - 7. Let u be j(7). Let h be u + 1 + 1 + 3. Let d(a) = 2*a + 6. Is d(h) a multiple of 6?
False
Suppose 102 = 3*v + 4*i, -5*v - 2*i - 3*i + 175 = 0. Does 38 divide v?
True
Let d(t) = 3 + 1 - 32*t - 3. Does 8 divide d(-1)?
False
Let n = -50 - -33. Let u = -9 - n. Is 3 a factor of u?
False
Let s = 7 - 16. Let z = s - -16. Is (z/(-4))/((-3)/12) a multiple of 5?
False
Let d be 21 - (3 - 8 - -4). Suppose -4*z - 4 - 4 = 0. Is 10 a factor of d + z/(1 - 0)?
True
Suppose 25 + 0 = -v. Let n = v + 45. Does 3 divide 68/n - 4/10?
True
Suppose 2*u - 51 - 74 = -5*x, x + 3*u = 12. Is 9 a factor of x?
True
Let o = -27 - -43. Suppose 2*c + 0*c = 2*f - o, 0 = 4*c + 20. Is f a multiple of 2?
False
Let d(v) = v**3 + 8*v**2 - v - 5. Let w be d(-8). Suppose -o = -3*y + 20, 2 = 2*o - w*o. Let t = y - 0. Is 4 a factor of t?
False
Let y(r) = -6*r + 8. Is y(-4) a multiple of 13?
False
Let x(t) be the first derivative of -t**4/4 - 4*t**3/3 + 2*t**2 + 1. Is x(-5) a multiple of 5?
True
Let g = 3 + 2. Let s(w) = -w - 1 + 6*w + 0*w. Does 9 divide s(g)?
False
Suppose -2*w = -0*w + 2*s - 16, 29 = 4*w + 5*s. Is w even?
False
Suppose 4*i - 226 = 5*h, 0 = -4*i - 2*h - 110 + 322. Is 13 a factor of i?
False
Let l(j) = 2*j**2 + 66. Does 6 divide l(0)?
True
Suppose 4 = 4*d - 4*b, b - 3 = 5*d + 4*b. Suppose 5*u = -d*u + 10. Suppose u*v - 3*v = -10. Does 5 divide v?
True
Suppose 2*t = 7*t - 50. Suppose t = 3*l + 1. Is l a multiple of 2?
False
Suppose -707 = -3*g + 589. Does 27 divide g?
True
Let u(w) = -w**2 + 9*w - 5. Let q(a) = a - 2. Let f be q(6). Is 5 a factor of u(f)?
True
Let g = -58 - -123. Is g a multiple of 19?
False
Let l(a) be the second derivative of a**3/3 - a**2/2 - 2*a. Let w(d) = 6*d - 3. Let o(g) = -7*l(g) + 2*w(g). Is 3 a factor of o(-3)?
False
Let v(q) = -16*q + 17. Is 21 a factor of v(-5)?
False
Suppose -2*d + 3*w = -3*d + 23, 5*d + w = 143. Is 6 a factor of d?
False
Suppose 0 = 5*n + 4*s - 35, 2*n - 4*s + 7 + 7 = 0. Suppose i - 272 = -n*i. Is 13 a factor of ((-6)/(-4))/(3/i)?
False
Suppose 24 = 5*k - 3*h, -h - 11 = -2*k - 2. Let i(z) = 10 - k*z - 8 + 2. Does 10 divide i(-5)?
False
Let r = -5 - -20. Is r a multiple of 15?
True
Suppose 5*s = -2*y + 2*s + 11, 0 = 4*y - 3*s - 13. Let c = y + -1. Is 3 a factor of c?
True
Let h = 32 + 15. Does 27 divide h?
False
Suppose 0*g + 3*g + 6 = 0. Let c be (-4)/10 + g/(-5). Suppose -2*m + 0*m - l + 33 = c, 2*m + 3*l - 35 = 0. Is 8 a factor of m?
True
Let q = 5 - 5. Suppose 6*o - 3*o - 144 = q. Does 24 divide o?
True
Let y = -15 + 55. Does 17 divide y?
False
Let j(g) = 344*g**2 - 3*g. Let q be j(-3). Suppose -q + 497 = -4*y. Is 9 a factor of y/28 + 2/(-7)?
False
Suppose -2*u - 120 + 298 = 0. Does 13 divide u?
False
Suppose -15*x + 334 = -926. Does 21 divide x?
True
Let k(f) = -11*f**2 - 6*f + 7. Let p(h) be the first derivative of 5*h**3/3 + 3*h**2/2 - 3*h - 1. Let q(u) = 4*k(u) + 9*p(u). Is 11 a factor of q(-5)?
True
Let p(z) = -14*z - 1. Let x(u) = u**2 + 5*u + 2. Let r be x(-4). Does 19 divide p(r)?
False
Suppose 3*y - 94 = -16. Is y a multiple of 5?
False
Suppose 49*r - 54*r = -475. Is r a multiple of 19?
True
Suppose 87 - 7 = 5*b. Suppose 4*k - b = 0, 0*j = 4*j + 5*k - 36. Is j even?
True
Suppose -3*u + y = 3*y - 42, -u + 5*y + 14 = 0. Is 14 a factor of u?
True
Suppose -70 = -4*o - 3*o. Is 2 a factor of o?
True
Suppose 4*k - 17 = -3*y, -5*k = -y + 13 - 1. Suppose 4*z = -y + 35. Does 6 divide z?
False
Does 24 divide (7/(-2))/(15/(-510))?
False
Let i(v) = -4*v + 2. Let g be i(-3). Suppose 4*r - 17 = 3*d, -3*r + 2*d + g = -0*d. Suppose 5*o - 43 = -4*c + r, -c + 2*o = -16. Is 7 a factor of c?
True
Let j(d) = 4*d**2 - 4*d - 3. Is j(3) even?
False
Suppose 0 = 2*b + 3*n - 84, -4*b - 2*n + 25 = -135. Is b a multiple of 13?
True
Suppose -k - 2*k + 4 = -5*u, -12 = -3*u. Is k a multiple of 3?
False
Suppose 0*p + 4 = 5*m - p, -4*m = -4*p - 16. Suppose m*t - 1506 = -t. Is (-4)/(-18) - t/(-27) a multiple of 16?
False
Suppose 2*p - 1 = 3. Suppose -3*o - p*o = -30. Is 4 a factor of o?
False
Suppose 0 = 2*k + k. Let p = k + 0. Does 19 divide (p - 1)/((-1)/19)?
True
Suppose 6*z + 14 = 254. Is z a multiple of 8?
True
Does 17 divide 4/((8/17)/4)?
True
Suppose -5*a + 0*a + 25 = 0. Suppose 0 = -t - 5*f + 13, 3*t - a*t - 5*f = -16. Let g(v) = 8*v - 3. Is 13 a factor of g(t)?
False
Let h(z) = 5*z - 3. Let t be h(2). Suppose -5 - 6 = -j. Let o = j - t. Is o a multiple of 3?
False
Let f(v) = -2*v**2 + 4. Let a be f(-4). Suppose 3*h - 3 = 5*l + 23, 3*l = -12. Is (-9)/(3*h/a) a multiple of 21?
True
Let b = -72 - -91. Does 10 divide b?
False
Suppose 4*z - 9*z + 20 = 0, i - 3*z = 10. Let y = 36 - i. Is 7 a factor of y?
True
Does 18 divide 8/44 - (-2700)/33?
False
Let y be (-980)/(-6)*6/5. Suppose 0*d - 3*l = -4*d + 266, 3*d - y = 4*l. Is d a multiple of 19?
False
Let i(c) = 2*c + 3. Suppose 0 = 2*b - 5*m + 17, 0*m + 35 = 5*b + 3*m. Suppose o = b + 2. Does 15 divide i(o)?
True
Let h(s) = -s - 4. Let z be h(-9). Let u(d) = d - 2. Let p be u(z). Is 2 a factor of p*(-2)/(-3) - -2?
True
Suppose 0 = 5*v + h + 2*h - 29, -4 = -4*v + 4*h. Suppose v*m + 118 = 8*m - 5*x, 4*m - 112 = 2*x. Is m a multiple of 20?
False
Let m(j) = -j**3 - 9*j**2 - 9*j - 3. Is m(-8) a multiple of 5?
True
Suppose 153 + 345 = 3*c. Does 39 divide c?
False
Suppose 0 = 3*n + 3*z - 12, -3 = 5*z + 2. Suppose 4*l = o + 17, -n*o = -l - 6*o + 3. Does 15 divide (-8)/3*(-66)/l?
False
Is 6 a factor of (-2 - -11)*1*(-40)/(-30)?
True
Suppose -3*g + 156 = 3*n, -2*g = -n - 6 - 113. Suppose -f + 3*f - 170 = 0. Let k = f - g. Does 9 divide k?
False
Let i be 6*-9*(-4)/12. Let x be (-6)/(-2 - (1 - 1)). Suppose i = -x*s + 45. Is s a multiple of 9?
True
Let r(b) = b + 1. Let n(d) = -5*d - 4. Let p(i) = 2*n(i) + 6*r(i). Let h(g) = 17*g + 9. Let w(t) = -4*h(t) - 18*p(t). Does 6 divide w(3)?
True
Suppose 4*t = 2*g + 430, -3*t + 2*t = -3*g - 105. Is t a multiple of 27?
True
Suppose 0 = -0*h - h. Let j = 0 + h. Is (j - -3) + (28 - -1) a multiple of 12?
False
Let m be (-3)/6*2 - -1. Suppose 4*g - 3*b = 13 - 2, 4*g - 2*b - 6 = m. Let v(j) = -13*j**3 + j**2 + j + 1. Does 4 divide v(g)?
False
Let h(g) = g**3 - 6*g**2 - 7*g. Let m be h(7). Suppose m*t = -3*t + 30. Is t a multiple of 9?
False
Suppose -2*a + 10 = 2*z, 6*z - 3*z - 5 = 2*a. Let n = z - -3. Is 80/n - (-1)/(-3) a multiple of 13?
True
Let d(b) = -6*b**3 - 7*b**2 + 12*b - 2. Let i(h) = 7*h**3 + 7*h**2 - 13*h + 1. Let a(m) = 6*d(m) + 5*i(m). Let q be a(-8). Is 7 a factor of (-13)/(-1)*q - -2?
False
Let i be 1/3 - (-16)/6. Let k be i/(-3) + 1 - -3. Suppose -k*c = -c - 48. Is c a multiple of 9?
False
Does 9 divide (-1 - -2)/(3/129)?
False
Let a = 44 - 64. Let p = -1 - a. Is p a multiple of 6?
False
Let f = 297 - -50. Is f a multiple of 26?
False
Let l(c) be the first derivative of -c**4/4 - 2*c**3 - 3*c**2 - 8*c + 1. Let m be l(-6). Suppose -m = -o - 2. Is 11 a factor of o?
False
Let q be 4 - (1 + (723 - 3)). Is (-2)/(-10) + q/(-15) a multiple of 13?
False
Suppose -4*k + 100 = -0*k. Suppose t = 6*t - k. Does 4 divide t?
False
Let v(o) be the second derivative of -o**3/2 - o**2/2 + 4*o. Let m be v(-2). Suppose 172 = 4*c - 4*a, -4*c - m*a + 121 = -78. Does 24 divide c?
False
Let w be ((-2)/4)/(2/8). Let o = w - -9. Is 7 a factor of o?
True
Suppose 0 = 5*l + 5, 2*u + 3*l + 7 = 3*u. Suppose u = 3*c + c. Let x = 5 - c. Does 4 divide x?
True
Let m be 7*1 - (-3 + 2). Let d(g) = 4*g - 18. Does 5 divide d(m)?
False
Does 24 divide ((-80)/(-6))/(3/27)?
True
Let r be (-6)/(-4) + (-69)/(-6). Let z = 30 + r. Does 14 divide z?
False
Let m(v) = 0 + 2 + 0 - 2*v. Is m(-4) a multiple of 4?
False
Let m(g) = 4*g**2 + g - 1. Is 13 a factor of m(-2)?
True
Suppose 2*m + 2*m - 9 = 3*p, -2*m + 5 = -p. Is (m - 0) + (-1 - -18) a multiple of 10?
True
Let g(o) = 9*o**2 + o - 1. Let m be g(-2). Let 