- b + 72 = -3*n, 4*n - 108 = -3*b. Is b a multiple of 12?
True
Is (-7)/5 + 1 - (-544)/10 a multiple of 4?
False
Let f = 2 + -4. Let o = 0 - f. Is 18 a factor of (-500)/(-14) - o/(-7)?
True
Let c(x) be the first derivative of -x**2/2 + 18*x + 8. Suppose 2*p = -2*p - 2*d - 4, p = -d - 2. Does 6 divide c(p)?
True
Suppose 4*y - 3*y - 5 = 0. Let r(j) = 7*j**2 - 5*j - 5. Let s(b) = -b**2 + b. Let n(q) = r(q) + 5*s(q). Is n(y) a multiple of 15?
True
Let d(l) = l + 2. Let z be d(-5). Let p = z + 3. Suppose -2*n + i = 3*n - 67, p = -5*n - 5*i + 55. Is 10 a factor of n?
False
Suppose -z = -p + 2*p - 186, -2*p + 754 = 4*z. Is 16 a factor of z?
False
Let o(h) = h - 2. Let b be o(-2). Is 6 a factor of (b/10)/1*-15?
True
Suppose 5*u - 5*r - 7 = 3*u, -5*r = u - 41. Is 15 a factor of u?
False
Suppose -3*s + 31 + 8 = 0. Is s a multiple of 3?
False
Does 8 divide 1*13 + -1 + 2 + 2?
True
Let k(i) = 11*i - 6. Does 21 divide k(12)?
True
Suppose -w + 216 = 3*w. Is 18 a factor of w?
True
Let f(n) = 15*n**2 - 7*n + 10. Does 28 divide f(2)?
True
Suppose 5*r - 2*r = 156. Is r a multiple of 26?
True
Let b = 5 + 0. Suppose 3*f = b*i + 275, -i - 10 + 279 = 3*f. Suppose -f = -4*d - 38. Is 7 a factor of d?
False
Suppose 3*g - 4*w - 105 = -w, 2*w - 154 = -5*g. Suppose 4*a - g = -0*a. Does 8 divide a?
True
Suppose 0*c + 17 = 4*c - q, -5*c = 3*q. Let u be (-1 + 10)/(-2 + 6 + -3). Suppose -c*s + 3 = -u. Is 2 a factor of s?
True
Suppose 0*v = v - 2. Suppose -3*a - 9 = -v*r - 26, -2*a + r + 10 = 0. Is (0 + a)/((-3)/(-22)) a multiple of 11?
True
Let j be (-9)/6*12/(-9). Suppose -j*b + 0*u + 24 = -5*u, 4*u = 16. Is 22 a factor of b?
True
Let p be (1 + -1)/(-4 + 6). Suppose 0*v + 4*v - 136 = p. Is 17 a factor of v?
True
Suppose -5*p = -237 + 37. Does 5 divide p?
True
Let w be (-1 + 7)/((-12)/(-16)). Suppose -3*z = -z - w. Suppose z*h + k - 119 = 0, 4*h = k + 20 + 109. Does 15 divide h?
False
Let d(j) = -8. Let h(n) = -n. Let q(m) = -d(m) + h(m). Let s be q(8). Suppose 4*c + 9*x - 4*x - 41 = s, 13 = 2*c + 5*x. Is 7 a factor of c?
True
Suppose -3*d - d = 3*p - 34, 0 = -4*p - d + 67. Does 9 divide p?
True
Suppose 5*y = -4*u + 11, -y - 8 - 5 = -3*u. Let t(k) = k**3 - k**2 - 3*k + 4. Is t(u) a multiple of 16?
False
Let b(q) = q**3 + 3*q**2 - q. Suppose 2*y - 1 = 3. Is b(y) a multiple of 18?
True
Suppose -3*m + 27 = -0*m. Suppose 4*v + 3 + m = 0. Does 8 divide 15 + -1 + 0/v?
False
Let r = -79 + 178. Does 12 divide r?
False
Suppose -6*g + 2*g + 16 = 0. Suppose g*k = k. Is (10/1)/(1 + k) a multiple of 10?
True
Let l = 8 + 19. Is l a multiple of 9?
True
Let i(u) = -u + 1. Let o be i(-4). Suppose 49 - 13 = 2*z. Suppose -77 = -o*b + z. Is b a multiple of 11?
False
Let y = 1 + 1. Let r be -1*(y - -1) - 1. Is (r/8)/((-2)/172) a multiple of 16?
False
Let t be 2 + (1 - 3)*-1. Suppose -2*v + 3 + 2 = 5*h, -t*h - 4 = 0. Let q(j) = 2*j**2 - 8*j + 7. Is q(v) a multiple of 8?
False
Let h = 6 + -1. Suppose i + 14 = 3*b - 4*i, -i = -h. Is 4 a factor of b?
False
Is 13 a factor of -3 - (2/2 - 12*9)?
True
Suppose 0 = -w - 0*w + 26. Let t = -8 + w. Is (t/(-10))/(1/(-5)) a multiple of 4?
False
Let r = -207 - -312. Is r a multiple of 7?
True
Suppose 0 = -2*b - 2*b + 3*k + 97, 0 = -4*b - 3*k + 127. Suppose -3*d = -3 - 0, 2*f + 5*d = 43. Let t = b - f. Is 8 a factor of t?
False
Suppose 2*g - 65 = -3*g. Is 2 a factor of g?
False
Is (1 - 83/(-2)) + 8/(-16) a multiple of 7?
True
Let o = -7 + 7. Suppose 5*s - 199 - 71 = o. Is 31 a factor of s?
False
Let f = 117 + 154. Is f a multiple of 15?
False
Does 5 divide 88/9 + 2/9?
True
Suppose 0 = -k + 3. Suppose u - 3*z - 6 = 0, -2*u + k*u - z = 10. Is 6 a factor of u?
True
Suppose -i + 327 = 4*y, -5*y + 501 - 91 = i. Is y a multiple of 5?
False
Let a(p) = 4*p**2. Does 18 divide a(7)?
False
Suppose 0*z + 2*z + 4*y = -16, 4*z = 2*y + 18. Let j(p) = 7*p**3 + p**2 - 5*p - 2. Let l(m) = -m**3 + m. Let u(k) = j(k) + 6*l(k). Is 12 a factor of u(z)?
True
Let n(c) = 8*c**2 + 3*c**2 + 3*c + 3 - c - 4. Let y be 1/(-2)*(1 - 3). Is n(y) a multiple of 6?
True
Suppose 3*u + 7 = 2*u. Let f = u - -13. Is f a multiple of 6?
True
Let u(r) = r**2 + 3*r + 8. Let j be u(-8). Does 8 divide ((-9)/(-3) + -2)*j?
True
Let o(a) = 5*a**2 - 2*a - 3. Suppose 5*j = 31 + 14. Suppose -4*z = j - 1. Is o(z) a multiple of 10?
False
Suppose -2*n = -0 - 8. Suppose 6*k = n*k - 2. Is ((-20)/(-14))/(k/(-7)) a multiple of 6?
False
Let v(n) = -n**2 + 3*n - 5. Let g be v(4). Let a(j) = j**3 + 9*j**2 - 2*j. Is 9 a factor of a(g)?
True
Let v(m) = 34*m**3 + m**2 - 1. Let j be v(1). Suppose -2*r + 34 = -j. Is 11 a factor of r?
False
Let z(r) = r**3 + r**2 + 135. Let c be z(0). Suppose -c - 140 = -5*y. Is 17 a factor of y?
False
Let k be (-4)/(-20) + 102/(-10). Let n = k - -19. Is n a multiple of 4?
False
Let f be (9/(-3))/(2/6). Let o = 20 + f. Is 2 - (-2 + 0)*o a multiple of 12?
True
Let s = -8 - -16. Let f = 20 + s. Is 7 a factor of f?
True
Let g = -1 + 0. Let n be (-3)/1 - (g + 0). Is (-20)/n*(-2)/(-4) a multiple of 2?
False
Let r = 5 + 0. Suppose r*d - 168 = -4*g, 3*d - 4*d + 4*g + 48 = 0. Is 36 a factor of d?
True
Let t = 26 - -7. Is 33 a factor of t?
True
Let y(i) = -i**2 - i + 15. Let d = 1 + -3. Let r be (-1 + 1)/(d - -1). Is 9 a factor of y(r)?
False
Suppose 3*f - 114 = -2*y, -4*y - 38 = -f - 2*y. Is f a multiple of 13?
False
Let r(b) = -b**2 + 2*b - 3. Let m be r(2). Let v(f) be the second derivative of f**4/6 + f**3/6 - 3*f**2/2 - f. Is 6 a factor of v(m)?
True
Suppose -r = 4*m + 4*r - 160, 2*r = m - 40. Suppose 3*x = -x + m. Is x a multiple of 5?
True
Let l = 8 - 20. Let b(a) = 8*a + 16. Let k be b(7). Let g = k + l. Does 21 divide g?
False
Suppose 0 = -4*l + 494 + 210. Is 22 a factor of l?
True
Let v(k) = -k**2 - 6*k - 4. Let x be v(-4). Let w be 0*-1*2/x. Suppose w = 4*d - 15 - 17. Does 5 divide d?
False
Suppose 5*j = -a + 61, 2*a - 2*j - 57 = j. Is 4*3*33/a a multiple of 11?
True
Suppose 7*o - 3*s = 3*o + 77, -2*s = 5*o - 102. Let a = o - -13. Suppose 3*w - 39 = a. Does 12 divide w?
True
Suppose 0 = -3*a + a + 108. Is 8 a factor of a/7 + 4/14?
True
Let x(s) = -s**2 - s + 32. Does 9 divide x(0)?
False
Let z(q) = -20*q - 8. Is z(-4) a multiple of 9?
True
Suppose 5*n - 119 - 36 = 0. Does 12 divide n?
False
Let a = -3 - -1. Let f(d) = d**3 + 4*d**2 - 2*d - 1. Let q be f(a). Suppose 3*n - 3*h - q = -2*h, 0 = -2*n - 4*h - 2. Is n a multiple of 3?
True
Let b(d) = -12*d - 1. Let k(r) = -r**3 - 2. Let y be k(0). Is b(y) a multiple of 11?
False
Let b = 36 + -6. Does 15 divide b?
True
Let b be (-22)/6 + 1/(-3). Let t = b - -25. Is t a multiple of 15?
False
Suppose 0*c = 2*c - 42. Is 5 a factor of 537/c + (-8)/14?
True
Does 22 divide (20/(-150) + (-2)/3)*-110?
True
Suppose -5*f = g + 96 - 300, 5*g = -5*f + 220. Suppose 2*c = c - f. Let h = 5 - c. Does 19 divide h?
False
Let o(u) = u**2 + 24. Suppose 8*x = 3*x. Is 24 a factor of o(x)?
True
Let u(m) be the second derivative of -m**4/12 + m**3/6 + 3*m**2/2 + m. Let c be u(4). Let i = c - -18. Is 9 a factor of i?
True
Is 2/13 - 308/(-26) a multiple of 11?
False
Suppose -m = -1 - 3. Suppose -m*a + 64 = g, -3*g = -4 - 8. Does 5 divide a?
True
Let y(f) = f**2 + 299. Let w be y(0). Suppose 0 = -3*o + 3*i + 96, 5*o + 2*i + 111 - w = 0. Does 11 divide o?
False
Let a = -129 + 235. Let x = a + -66. Is x a multiple of 12?
False
Let t(n) = -n + 2. Let f be t(0). Suppose 0 = 2*z + z + 4*j + 4, -5*z + 4 = -4*j. Suppose -f*g - 181 = -7*g + m, z = -5*g - 3*m + 177. Does 11 divide g?
False
Let w(n) = -n**2 - n - 8. Let z be w(0). Does 14 divide (z/(-6))/((-3)/(-63))?
True
Let r = 30 - 18. Let d be r/1 - (-1 - -3). Suppose -d - 2 = -2*m. Is 6 a factor of m?
True
Let j(v) = v**2 + 4*v - 5. Let t be j(-5). Suppose 2*c - 28 - 104 = t. Is c a multiple of 17?
False
Let i = 14 + 5. Is 9 a factor of i?
False
Suppose 13 = 4*o - 103. Is o a multiple of 21?
False
Let k be (-15)/5 - 29/(-1). Suppose -o - 7 + k = 0. Is 17 a factor of o?
False
Suppose 3*w = -2*y + 5*y - 54, 4*w = 3*y - 53. Suppose -2*f = -19 - y. Does 5 divide f?
False
Suppose 2*i - 2*w - w - 89 = 0, -9 = 3*w. Does 10 divide i?
True
Suppose 3*q - 79 = s, 3*q - 73 = -5*s - 0*s. Suppose 0 = -2*y - 1 + 7. Suppose y*w + q = 71. Does 15 divide w?
True
Let g be (11 - 10)/((-1)/(-7)). Suppose 0 = -b + 19 + g. Does 13 divide b?
True
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