 -2*m + 41, -t - 36 = -4*t + 3*m. Does 13 divide t?
True
Let p(j) = j**2 + 5*j - 4. Let t be p(-6). Suppose 10*n - 84 = 3*n. Suppose t*v - 1 = r - n, r - 9 = 4*v. Is r a multiple of 13?
True
Suppose 2*h = -2*h - 5*t + 17, -h - t + 4 = 0. Let p be -3*(-2)/h + 0. Suppose 0 = -0*r - p*r + 5*m + 12, 2*m = -5*r + 30. Is 6 a factor of r?
True
Let m be (-396)/10 - (-10)/(-25). Let r = -10 - m. Does 10 divide r?
True
Let m(p) be the third derivative of p**6/180 + p**5/60 - p**4/24 - p**3/3 + 4*p**2. Let o(j) be the first derivative of m(j). Is 3 a factor of o(-2)?
True
Let y(s) = 3*s - 11. Let c be y(5). Suppose -2*p + 58 = -u, c*p + 0*u + 4*u - 104 = 0. Does 7 divide p?
True
Suppose 2*g - m - 34 = 5*g, 4*g + 27 = -5*m. Let l(i) = -5*i - 17. Does 17 divide l(g)?
False
Let p(b) = -20*b - 1. Let q be p(2). Let n = q + 29. Let u = 21 + n. Is u a multiple of 9?
True
Let t = -8 - -12. Suppose -t*v + 113 + 71 = 0. Is 21 a factor of v?
False
Suppose 4*a - 1356 + 244 = 0. Suppose 5*w - 350 = 5*j, -4*w - 2*j = -5*j - a. Is 22 a factor of w?
False
Let c = 272 + -145. Does 11 divide c?
False
Let m(j) = 12*j - 1. Let k be m(-3). Let s = k + 65. Does 15 divide s?
False
Suppose 3*c + 2 - 14 = a, 12 = -2*a + 3*c. Suppose 106 = 3*k + 2*r - a*r, -58 = -2*k + 5*r. Is k a multiple of 12?
False
Suppose 96 = 2*w + 2*w. Is 8 a factor of w?
True
Is ((-16)/(-10))/(1/30) a multiple of 12?
True
Let a be 4/((-2)/6 - -1). Let u(s) = -s**3 + 5*s**2 + 7*s + 8. Let o be u(a). Does 4 divide 3 + (o - 2) - 3?
True
Is 19 a factor of (-4 + 54)/(2/6)?
False
Suppose -4*g = -8*g - 3*q + 175, 2*q + 6 = 0. Let t = g - 23. Is t a multiple of 23?
True
Let b(o) = o - 5. Let y be b(5). Suppose -6*g + 4*g = 2*l + 4, -5*l - 25 = y. Suppose -27 = 2*z - g*z. Is 21 a factor of z?
False
Let k(t) = t**3 - 6*t**2 + 5*t - 3. Let v be k(6). Suppose -5*o + v + 8 = 0. Is 5 a factor of o?
False
Suppose 3*t + 173 = u, 3*t + 1153 = 5*u + 240. Does 16 divide u?
False
Suppose 16 = -4*c + 116. Suppose c = -5*b, 5*d - 250 = -b + 3*b. Does 16 divide d?
True
Let u(n) = -2*n**3 - 4*n**2 - 4*n - 2. Is u(-3) a multiple of 5?
False
Let o(p) = -p**2 + p**3 - 4 - 1 + 0*p**3 - 2*p + 2. Suppose -5 = -3*j + 4. Is 9 a factor of o(j)?
True
Let i(a) be the third derivative of -1/12*a**4 + 3*a**2 + 17/30*a**5 - 1/6*a**3 + 0*a + 0. Is 13 a factor of i(-1)?
False
Let i = -20 + 24. Suppose 0 = -4*d + 52 + i. Does 4 divide d?
False
Suppose -2*w + 365 = 2*w + l, -2*l + 366 = 4*w. Let g = w + -9. Is 22 a factor of g?
False
Suppose -2*r - 3*r + 45 = 0. Let j be (30/r)/(1/12). Let t = 61 - j. Is t a multiple of 8?
False
Suppose 5*a = 20, -2*s + 6*a - 4*a + 204 = 0. Is 10 a factor of s?
False
Let p = -166 + 192. Does 5 divide p?
False
Let t(f) = -f**2 - 9*f - 10. Let s = -15 - -30. Let c = s + -22. Does 2 divide t(c)?
True
Suppose -5*s - 40 = -y, 2*s + 40 = 3*y - 2*y. Is y a multiple of 8?
True
Suppose u = -4*u + 20. Suppose -u*x + 5*x - 3 = 0. Does 2 divide x?
False
Suppose 4*t - 276 = t. Is t a multiple of 36?
False
Suppose 0 = 3*w - 15 - 0. Suppose w = 4*t - 15. Suppose -12 = t*n - 132. Does 12 divide n?
True
Let d(q) = q**3 - 11*q**2 - 10*q - 2. Is 22 a factor of d(12)?
True
Suppose 0 = j + 3*g + 5, 5*j - 7 = 3*g + 4. Is 3*18/(2/j) a multiple of 7?
False
Let s be -11 + -1 + (2 - -1). Is (-104)/(-12)*s/(-6) a multiple of 9?
False
Let d = -11 + 13. Does 2 divide -5 + 6 + d/2?
True
Suppose -9 = -u - 3*k, 0 = -3*u - 2*k - 1 + 7. Suppose u = 3*d - i - 20, -2*d = -3*i - i. Is 3 a factor of d?
False
Let v(p) = -2*p**2 - 1 + 2*p + 2 + p**3 + 0*p**3. Let c be v(2). Suppose -7*n = -2*y - 3*n + 88, y - 30 = -c*n. Is 14 a factor of y?
False
Let n = 6 + -2. Let c = 0 + n. Is c a multiple of 4?
True
Suppose 7 = 3*q + 121. Does 28 divide (0 - q) + 0/6?
False
Suppose -f = -1 - 2, 0 = 3*w - f - 234. Is 30 a factor of w?
False
Let y be (-2)/(-7) + (-52)/(-14). Suppose -11 + 123 = y*j. Is j a multiple of 11?
False
Let t(s) = 161*s**3 - s. Does 34 divide t(1)?
False
Let q = 600 + -399. Suppose 0 = 3*k + 3*t - q, -3*k + 198 = -0*k + 2*t. Suppose -n - 5*i = 2 - 37, 4*n - k = -i. Is 9 a factor of n?
False
Is -78*((2 - 20/3) + 0) a multiple of 14?
True
Let m(z) = 3*z**2 - 1. Let k be 2/(-4)*(-3 - -3). Suppose 2*b - 5*w + 21 = k, -b - b + 24 = 4*w. Is 11 a factor of m(b)?
True
Suppose 3 - 7 = 2*g, -5*g + 5 = -3*v. Let p = v + 11. Does 12 divide 20/p*(-54)/(-15)?
True
Suppose 11 = 4*b - 5. Suppose -5*t - 3*c + 125 = c, 4*t - 136 = b*c. Is 14 a factor of t?
False
Suppose 33 = 5*o - 32. Does 11 divide o?
False
Suppose 3*b + 3*i = -0*i + 78, 5*i - 108 = -4*b. Is b a multiple of 6?
False
Let d = 10 + -6. Suppose d*a = -3*z + 7, -4*a + 0 = 4*z - 4. Suppose 5*t + 24 - 81 = 4*y, -21 = -t - a*y. Is 9 a factor of t?
False
Suppose i + 3 = 2*i. Suppose b - 23 = -k - 3*b, i*k - 56 = b. Does 7 divide k?
False
Let s be (46/(-4))/(2/(-4)). Let o = s + -9. Is 8 a factor of o?
False
Let g be 1 - 164 - (-9)/(-9). Is 13 a factor of 10/4*g/(-10)?
False
Let s = -87 + 60. Let c = s + 60. Is c a multiple of 16?
False
Let s(h) = -h**3 + 5*h**2 + 3. Let y be s(5). Suppose 0 = -3*w - y*n - 288, -w + 2*w - n + 102 = 0. Let g = -57 - w. Is g a multiple of 11?
False
Let g(u) = -u**3 + u**2 + 2*u + 21. Is 21 a factor of g(0)?
True
Is 13 a factor of (-2)/(-15) + (-5844)/(-45)?
True
Let f(p) = -5*p**3 - p. Let y be f(-1). Suppose -y*q + 2*q + 216 = 0. Suppose 0 = 3*b - 0*b - q. Is b a multiple of 14?
False
Let i be 130/40 + (-2)/8. Suppose o + 106 = 3*f, 105 = i*f - 4*o + 14. Does 18 divide f?
False
Let m = -129 - -183. Suppose 2*o - m = 2*t, 2*o + t + 3*t = 72. Is 14 a factor of (o/(-8))/(3/(-16))?
False
Suppose -2*c + 6*c + 3*f - 1236 = 0, 2*c = -4*f + 628. Does 18 divide c?
True
Suppose h + 0*h + 5*a + 21 = 0, -4*h - 84 = 3*a. Let m = h - -92. Is m a multiple of 19?
False
Let c = -26 - 20. Let z = c - -76. Is z a multiple of 15?
True
Suppose -5*d + 6*v = 2*v + 11, -5*d + 3*v = 12. Let u = 34 + d. Is u a multiple of 18?
False
Suppose 27*j - 30*j + 105 = 0. Is 9 a factor of j?
False
Let z(o) = -o**3 - 9*o**2 - 2. Let b be z(-9). Let r be (-2)/b*(-36)/(-3). Suppose 2*v = -p + 22, -4*p + v + 49 + r = 0. Is p a multiple of 8?
True
Let p(k) = k**3 - 4*k**2 - 4*k + 20. Is 13 a factor of p(7)?
False
Let c(b) = b**3 - b**2 - b + 42. Is c(0) a multiple of 7?
True
Suppose -4*y + 322 = k, 2*k - 5 + 1 = 0. Is y a multiple of 21?
False
Let x(j) = 35*j. Let h be x(7). Suppose 4*p = 5*f - h, -3*f + 32 + 98 = p. Does 15 divide f?
True
Suppose 28 = 3*y + 10. Is y a multiple of 6?
True
Let z(c) = c + 2. Does 9 divide z(14)?
False
Let g = -3 + 8. Let u(r) = r**3 + 4 + 4*r**2 + 0*r**2 - g - 5*r**2 + 2*r. Does 7 divide u(2)?
True
Let p = 16 + -5. Is 11 a factor of p?
True
Suppose 12*q - 3465 = -3*q. Is 14 a factor of q?
False
Suppose -2*t = 2*t + m - 226, 5*t = -5*m + 275. Is 19 a factor of t?
True
Let a be (7 - 2) + (-2)/(-1). Suppose -3*n - 12 = -3*y, 4*y - 3*n + 8 = -a*n. Is -14*y/(-1) + 0 a multiple of 14?
True
Is (-3 + 32/12)*-48 a multiple of 16?
True
Let n = -85 + 106. Does 21 divide n?
True
Suppose -7*j + 11*j = 4, -105 = -5*v - 5*j. Is v a multiple of 4?
True
Let c(p) be the second derivative of 0 + 3*p + 1/2*p**4 - 2/3*p**3 - 1/2*p**2. Does 22 divide c(-3)?
False
Let r = -92 + 147. Suppose r = 3*c - 2. Is 19 a factor of c?
True
Let s = -5 + 5. Suppose s = 3*j - 6*j. Let o = j + 6. Is 6 a factor of o?
True
Let z(g) = g**3 + 12*g**2 + 3*g + 13. Does 42 divide z(-6)?
False
Let u(k) = k**2 - 8*k - 5. Let z be u(8). Let h = z + 7. Is h*(-16)/2*-1 a multiple of 6?
False
Suppose 2*q = y + 30, -3*q - 2*q - 4*y = -101. Is q a multiple of 15?
False
Suppose -5*y - 540 = -5*w, 2*w + 5*y - 500 = -3*w. Does 16 divide w?
False
Suppose -2*v - 3*n = 37, n - 24 = 4*v - 3*n. Let f = v + 16. Is f a multiple of 5?
True
Suppose -3*s + 2*z - 200 = -5*s, -2*s - z = -202. Let k = s - 70. Suppose 2*l + 0*l = k. Is 8 a factor of l?
True
Suppose -21 = 2*f - z - 53, -f + 5*z + 34 = 0. Let t = f - -6. Does 12 divide t?
False
Is 3 a factor of (-51)/(-15) - (-2)/(-5)?
True
Let u(m) = m**3 - 2*m**2 - 2*m - 2. Let g be u(-3). Let l = g + 93. Is 13 a factor of l?
True
Suppose o + 9 = 4*o. Let d = o - 4. Is (d + -1)/2*-15 a multiple of 15?
True
Suppose -d - 4*t + 140 = 3*d, -d + 47 = -3*t. Is 14 a factor of d?
False
Let q(i) = -5