ctor of 72/10*6*(-75)/(-27)?
True
Let q(u) = -23*u + 26. Let y(s) = -8*s + 9. Let r(a) = -6*q(a) + 17*y(a). Let c be r(3). Suppose 3*o + 4*k = 69, 89 = 4*o - k - c. Is 14 a factor of o?
False
Suppose -4*a + 9*a = 75. Is (16/(-10))/((-3)/a) a multiple of 2?
True
Suppose 10*j - 336 = 6*j. Is 20 a factor of j?
False
Suppose 15 = 4*w - 3*w. Does 3 divide w?
True
Let m be (24/9 + 3)*9. Suppose -5*b = -39 - m. Is b a multiple of 17?
False
Let m be 71/(-3) - 8/(-12). Let u = -9 - m. Let r = -9 + u. Is 5 a factor of r?
True
Suppose -k = 2*k + 69. Let v = k + 38. Is 5 a factor of v?
True
Let z(u) be the third derivative of u**5/60 - 5*u**4/24 + u**3/3 + u**2. Does 22 divide z(-5)?
False
Suppose -4*s + 6 = 2*a, -2*s - 2*a - 22 = -5*s. Let b be ((-14)/s - -2)*2. Does 10 divide ((-27)/(-2))/(b/(-4))?
False
Suppose -4*b - 4 = -t, -2*b - 19 - 27 = 5*t. Let p(n) = n**2 + 3*n + 7. Is 27 a factor of p(t)?
False
Let l(w) = -2 - 2 + 5 + 5*w. Is l(7) a multiple of 18?
True
Let g(s) = 28*s**2 + 4*s - 4. Is 14 a factor of g(1)?
True
Let k = 2 + -1. Let s be 5/k - (4 - 2). Suppose -6 = -s*g, g = 4*q - 0*g - 142. Is q a multiple of 15?
False
Let h(k) = -5*k**3 + 2*k**2 + 3*k + 6. Let j(x) = -x**3 + x**2 - x. Let w(o) = h(o) - 4*j(o). Let l be 2/3 + 28/(-6). Is w(l) a multiple of 7?
False
Suppose -3*y + 240 = -120. Is 35 a factor of y?
False
Let h be (-2)/4 + (-20)/(-8). Let g = 7 - h. Suppose -4*n + 155 = c, 0*n - g*c = -5*n + 175. Is n a multiple of 14?
False
Does 2 divide (1/(-5))/((-8)/200)?
False
Let c(b) = b**2 - 23*b + 24. Does 18 divide c(25)?
False
Suppose -2*w = -3*w + 3*m + 14, 14 = -3*w - 5*m. Is 3 a factor of 1/w*-2*-5?
False
Let s = 6 + -6. Let t(i) = 7*i**3 + 7*i**2 - 2*i - 27. Let p(y) = -3*y**3 - 3*y**2 + y + 14. Let c(m) = 9*p(m) + 4*t(m). Is 9 a factor of c(s)?
True
Let h = 9 - 7. Suppose 0 = -h*w + 2*m + 12, -4*w = w - 2*m - 39. Is 6 a factor of w?
False
Suppose 13*s - 10*s = 282. Is s a multiple of 8?
False
Suppose 5*q - 221 = -41. Does 18 divide q?
True
Let a(h) = -h**2 + 4*h + 7. Let g be a(5). Suppose 0 = 3*x - 15, 5*c + g*x + 3*x = 70. Does 3 divide c?
True
Let h(z) = 3*z + 13. Does 9 divide h(2)?
False
Let m(y) = -y**3 - 3*y**2 - 4*y - 5. Let d be m(-4). Let i = d + 9. Is i a multiple of 18?
True
Let v(x) = 34*x**3 + x**2. Let q be v(-1). Let t = q + 113. Suppose 0*h + 4*h - t = 0. Is h a multiple of 10?
True
Let m = 18 - 24. Let y = 3 - m. Is y a multiple of 9?
True
Suppose 0 = -8*r + 3*r - 40. Let t = r - -13. Suppose -5*x = -t*g + 40, -6*g + x = -g - 44. Is g a multiple of 4?
False
Let c(j) be the first derivative of -j**3/3 + j**2/2 - 8*j + 3. Let p be c(0). Let t = p - -27. Does 5 divide t?
False
Let t(f) be the second derivative of f**3/3 + 2*f**2 + f. Does 12 divide t(16)?
True
Suppose -633 = -8*o + 23. Is o a multiple of 25?
False
Suppose 7*r - 4*r = 39. Let h = 8 - r. Is (-321)/(-15) + 2/h a multiple of 13?
False
Let d(a) = a**3 - 3*a**2 - a - 5. Let z = 6 - 1. Is d(z) a multiple of 25?
False
Suppose -10 = -2*s + 24. Is 4 a factor of s?
False
Let f(t) = -20*t + 7. Is f(-5) a multiple of 37?
False
Suppose -2*q + 2*r = -264, -4*q - r - 334 + 852 = 0. Does 23 divide ((-20)/(-50))/(1/q)?
False
Let l(j) = j**3 + 6*j**2 - j - 7. Let c be l(-6). Let m = 2 - c. Suppose -w - 5*p + m*p = -20, w - 3*p - 5 = 0. Is 9 a factor of w?
False
Let b(h) = -h**2 - 2. Let m be b(-2). Let u = 9 + m. Does 21 divide 384/9 - 2/u?
True
Suppose 96 = 2*v - 2*n, 0 = 2*v - 6*v - n + 177. Does 23 divide v?
False
Let s be (-5)/(-3)*(13 + 2). Suppose -2*q + 5 = -s. Suppose q = 4*w + 7. Is w a multiple of 2?
True
Let h(s) = -2*s**2 - 4*s - 1. Let j be h(-3). Let x = -3 - j. Is x a multiple of 4?
True
Suppose 8 = m - 1. Is (40/(-12))/((-2)/m) a multiple of 6?
False
Let c(r) = -r**2 + 1 - 6 + 2*r**2 + 6*r - 3*r. Let v be c(-4). Does 17 divide v/((-1)/(-17))*-1?
True
Let s(k) = 4*k + 12. Does 16 divide s(9)?
True
Suppose 22 = 5*d - 138. Does 7 divide d?
False
Suppose -2*s + 6*s + 16 = 0. Does 3 divide 3 - -7 - (0 - s)?
True
Let k(g) = 9*g - 4. Let l(c) = -8*c + 5. Let w(q) = -7*k(q) - 6*l(q). Does 27 divide w(-5)?
False
Let i(b) = 2*b**2 + 2*b + 16. Is i(-9) a multiple of 13?
False
Suppose 3*a + 8 = 2*a + 5*i, -10 = -5*i. Suppose -32 = -p - 3*b, 3*p + 0*p = -5*b + 80. Suppose -v = a*g - p, -3*v + 4*g - 2*g = -68. Does 11 divide v?
True
Let g = 112 - 54. Let i = g - 40. Is 12 a factor of i?
False
Suppose 6*t = 2*b + 5*t - 158, 2*t + 154 = 2*b. Is b a multiple of 9?
True
Let t be (2/2)/(1/5). Suppose -2*z - 3*w + 21 = 2*z, 3*z + t*w = 24. Is 17 a factor of (z + -29)/(2/(-3))?
False
Let m(a) = -a**2 + 13*a - 27. Does 2 divide m(6)?
False
Suppose 466 = 5*l + 4*t, 0*l = -5*l + 5*t + 475. Does 24 divide l?
False
Let t be -5 + (-12)/((-4)/1). Let a(h) = 9*h**3 + 2*h + 1. Let v be a(-1). Is (7 + -3)/(t/v) a multiple of 17?
False
Let b(u) = u - 51. Let r be b(0). Let c = -26 - r. Does 13 divide c?
False
Let s(z) = -z**2 + 7*z + 7. Let f be s(10). Let j be 25/(-10)*(f + 1). Suppose -j = -6*y + y. Is y a multiple of 5?
False
Suppose 3*w + 3 - 6 = 0. Suppose -51 = 3*q - 4*a, -2*q - 4*a - w = -q. Let h = q - -20. Is h a multiple of 3?
False
Suppose 105 - 61 = -2*n. Suppose 4*l + 40 = -0*l. Let i = l - n. Does 6 divide i?
True
Let f(s) = 58*s + 13. Does 17 divide f(3)?
True
Let d(v) = v**2 + 4*v + 6. Let j(x) be the first derivative of x**4/4 - 2*x**3 - x**2/2 + 4. Let k be j(6). Does 18 divide d(k)?
True
Suppose 0 = -2*k - 4*r + 556, 5*k = -3*r + 979 + 425. Does 47 divide k?
True
Let y be 4/1 - (0 - 2). Let t be 123/6 - (-1)/(-2). Is ((-6)/(-4))/(y/t) a multiple of 2?
False
Is 25 a factor of ((-50)/(-20))/((-1)/(-10))?
True
Suppose -63 - 27 = -j. Is j a multiple of 30?
True
Let r = 137 + -87. Does 25 divide r?
True
Let x = -47 - -97. Does 50 divide x?
True
Let y(p) = -5*p - 2. Let n be 2/(-1) - -2*1. Let k(i) = -i**3 - i**2 - i - 5. Let x be k(n). Is 14 a factor of y(x)?
False
Suppose 3*s = 0, 5*s + 16 = 2*q - 8. Let a be (q/(-10))/(3/20). Let p(v) = v**2 + 6*v - 3. Is p(a) a multiple of 5?
False
Let k be (-45)/10*38/(-3). Suppose -q = 5*v - 13, -v = -3*q + 2*v + k. Does 9 divide q?
True
Suppose 163 = 5*f + 28. Is f a multiple of 17?
False
Suppose -940 = -5*x + n, 4*x - 5*n - 207 = 545. Is x a multiple of 6?
False
Suppose -143 - 67 = -5*h. Is h a multiple of 17?
False
Let o be 1887/33 + (-4)/22. Suppose a - 30 = -k, -15 - o = -2*k + a. Does 17 divide k?
True
Let t(s) = -6*s**3 + 6*s**2 + 6*s + 6. Let h(o) = o**2 + o + 1. Let b(r) = -6*h(r) + t(r). Is b(-1) even?
True
Suppose 0*j + 93 = j. Does 19 divide j?
False
Is 3/4*2/(-3)*-84 a multiple of 42?
True
Let u(m) = 4*m + 0 - 3 + 0. Let l be -4 - (1 - 7 - 1). Is 7 a factor of u(l)?
False
Let p(v) = -v**3 - 13*v**2 + 13*v - 8. Let r be p(-14). Suppose -5*l + 90 = -h, -r*h - 42 = -l - h. Is l a multiple of 7?
False
Let p(m) be the first derivative of m**3/3 - 3*m**2 + 10*m - 1. Is 3 a factor of p(5)?
False
Suppose 3*u + 59 = 164. Does 31 divide u?
False
Is 338/6 - 2/6 a multiple of 8?
True
Suppose -2*d + 15 = 3*d. Suppose d*c - 2 = 5*c. Does 15 divide c/(((-3)/31)/3)?
False
Let y(k) = -18*k**2 + k + 4. Let f(r) = -r**2 + r + 1. Let u(p) = 2*f(p) - y(p). Is u(-2) a multiple of 12?
True
Suppose 2*t + v - 130 = 0, -5*t + v + 33 = -299. Is t a multiple of 11?
True
Let i be 11 + -2 + 1 + -1. Let a(k) = -k**3 + 8*k**2 + 8*k + 13. Let w be a(i). Suppose w*t - 36 = 112. Is t a multiple of 10?
False
Let g(k) = 3*k**2 + 11*k + 56. Let c(j) = -j**2 - 4*j - 19. Let u(t) = 11*c(t) + 4*g(t). Let v = 0 + 0. Does 11 divide u(v)?
False
Let y be (-1 - 0)*(21 - -1). Is (y/(-6))/((-2)/(-12)) a multiple of 8?
False
Suppose -3*l = -59 - 37. Is 16 a factor of l?
True
Suppose 2*o - 3*o + 16 = 5*p, 0 = 5*o + 20. Suppose 3*r - 17 = -b, 6*b + 10 = 5*r + p*b. Suppose -r*m + 15 = -3*m. Does 8 divide m?
False
Let x(w) be the first derivative of 2*w**2 + 6*w + 1. Does 13 divide x(5)?
True
Let r = -19 - -31. Suppose -v + 2 = r. Is -1*v/(2 + -1) a multiple of 3?
False
Let q = -2 - -4. Suppose 2*x - 15 = -5*c, q*c = -5*x - 0*x - 15. Suppose c*h + 47 - 172 = 0. Does 15 divide h?
False
Let l = -69 + 80. Does 4 divide l?
False
Let z(g) = 6*g - 3. Let o be z(7). Suppose 5*j + 93 = -3*a, 7*j = 3*j + 5*a - 104. Let t = o + j. Is 9 a factor of t?
True
Let i(l) = 3*l**2 + 5 