 a multiple of 15?
False
Let k(b) = -32*b**2 + 7*b + 4. Let u(m) = -16*m**2 + 3*m + 2. Let o(v) = 4*k(v) - 9*u(v). Is o(2) a multiple of 32?
True
Let l = -289 + 485. Does 7 divide l?
True
Suppose -49 = q - 373. Suppose 5*i = q + 576. Is 27 a factor of i?
False
Suppose 5*n - 4 = -9. Let w = 1 + n. Suppose w = -4*l + 100 + 20. Is l a multiple of 15?
True
Suppose -3*h - 3*l - 132 = 0, -2*l + l + 100 = -2*h. Let s = h + 132. Does 12 divide s?
True
Let h(m) = 4*m**3 - m**2 - 2*m + 2. Let a be h(1). Suppose -a*b + 12 = 0, w - b - 2*b = 387. Suppose -4*c + w = -n, 4*c + 0*n - 4*n = 396. Is 25 a factor of c?
True
Let x = 100 - 48. Let t = x + -33. Suppose -103 + t = -2*b. Is 21 a factor of b?
True
Let i(m) = m**2 + 13*m + 12. Does 6 divide i(5)?
True
Let d be (39 + -5)/(2/1). Suppose 14*r + 51 = d*r. Is r a multiple of 6?
False
Suppose -5*l = 2*r - 37, -l = 4*r - 2*r - 9. Let o(g) = 5*g - 16. Does 19 divide o(l)?
True
Let o(i) = -i**2 + 8*i - 8*i + 5*i. Let m be o(5). Suppose m = -8*z + 4*z + 96. Is z a multiple of 6?
True
Let t = 4463 - 2909. Does 7 divide t?
True
Let t be (-27)/6*(-7)/((-84)/(-88)). Suppose -k + 0*k = -5*f + 57, 3*k = -2*f + t. Does 3 divide f?
True
Suppose 5*n + 272 = 4*v, -5*v + 7*n - 9*n + 373 = 0. Is 17 a factor of v?
False
Suppose 2*b = j + 61, 5*j + 72 = 2*b + 15. Is b a multiple of 2?
False
Suppose 3*v - 32 - 13 = 0. Let t = 28 - v. Is (-4 + 8)/4*t a multiple of 3?
False
Suppose -9 = z - 3*a, 3*z - 4*a + 11 = a. Suppose -3*r + 7*r = -8. Does 5 divide 20 + r - 1*z?
True
Let h(c) = 17*c + 5. Let z(o) = 67*o + 19. Let w(n) = -9*h(n) + 2*z(n). Does 22 divide w(-5)?
True
Suppose 4*b = -5*l + 326, 4*b + 5 + 329 = 5*l. Is 11 a factor of l?
True
Let v = 6 + 0. Suppose -3*o = -6*o + 5*z + 275, o - 2*z - 93 = 0. Suppose k = v*k - o. Does 7 divide k?
False
Suppose -2*h - 20 = -6*h, -2*v + 3*h = -45. Is 13 a factor of v?
False
Suppose q = 12*q - 34452. Is 18 a factor of q?
True
Suppose 7*q = -6*q + 39. Suppose -q*v - 276 = -3*y, -2*y + 7*y = -v + 460. Is y a multiple of 29?
False
Suppose -42*b + 45*b = 2*w + 134, 0 = -b + 4*w + 48. Does 22 divide b?
True
Let u(z) = -z**2 + 4*z - 5. Let h be u(3). Let c(w) = w**2 - 2. Let o be c(h). Suppose -5*n - 5 = -5*j, o*j = j + 2*n - 2. Is j a multiple of 4?
True
Let m(v) = v**2 + 2*v - 55. Is 10 a factor of m(-15)?
True
Is (-2)/3 + (-221)/102*-226 a multiple of 9?
False
Let m(v) = 163*v + 51. Is 5 a factor of m(1)?
False
Suppose 4 = -15*a + 17*a. Suppose -3*m = 5*s - 264, 5*m + 81 = a*s - 6. Is 10 a factor of s?
False
Let f = 774 - 406. Is f a multiple of 4?
True
Suppose 5*y - 449 = s, -2*y - 57 = -4*s - 251. Does 6 divide y?
False
Let p = 311 - 195. Suppose -4*f - 16 = -p. Is 10 a factor of f?
False
Let o = -56 + 88. Let k = -13 + o. Does 3 divide k?
False
Suppose -41*t - 5*t + 20102 = 0. Is 23 a factor of t?
True
Suppose 0 = -11*m + 13*m + 338. Let o = 286 + m. Is 28 a factor of o?
False
Let i = -1719 - -2441. Does 24 divide i?
False
Let i(r) be the second derivative of r**4/6 - 7*r**3/6 - 17*r**2/2 - 5*r. Is 17 a factor of i(7)?
False
Let t(c) = -c**3 + 10*c**2 + 9*c - 82. Does 31 divide t(6)?
False
Let z(g) = -84*g**3 - g**2 - 3*g. Let l be z(-3). Suppose l = 9*y + 5*y. Is y a multiple of 12?
False
Let w(x) = 4*x**2 + 15*x - 83. Is w(-15) a multiple of 54?
False
Let r(c) = -2*c**2 - 47*c - 24. Let z(y) = -1. Let t(g) = r(g) - 3*z(g). Does 12 divide t(-21)?
True
Let p be 4 - (2 + (6 - 0)). Let t(h) = -h**2 - 4*h - 2. Let s be t(p). Is (-24)/(-30)*(-35)/s a multiple of 14?
True
Let o(f) be the second derivative of f + 4/3*f**3 + 0 - 3/2*f**2 - 1/12*f**4. Is o(3) a multiple of 12?
True
Suppose 4*k - 5*k + 4 = 0. Suppose -k*l + 89 = -63. Suppose -y - y = -l. Is y a multiple of 9?
False
Suppose 9*i - 12*i = 3*q - 1293, 0 = 2*q + 3*i - 857. Is q a multiple of 4?
True
Let u be ((-508)/6)/((-168)/(-27) - 6). Let x = u + 561. Does 12 divide x?
True
Let t(h) = -15*h - 10. Let j be t(-4). Suppose 5*o - j - 50 = 0. Does 10 divide o?
True
Let r = 80 - 77. Does 23 divide (r + 1 - -32)*2?
False
Let u(p) = -p**3 - 6*p**2 - 9. Let w be u(-7). Suppose 0 = -4*b + w - 8. Suppose -f + b = 2*r - 5*f, -3*r + 5*f = -12. Is 3 a factor of r?
False
Let u(y) = -y + 3. Let q(n) = 1. Let a(o) = -5*q(o) + 2*u(o). Does 10 divide a(-13)?
False
Let n(z) = z**3 - 4*z**2 - 4*z + 2. Let u be n(5). Suppose u*m = 4*m + 144. Does 16 divide m?
True
Let h(o) = -21*o**3 - 10*o**2 + o - 1. Let f(x) = -31*x**3 - 15*x**2 + 2*x - 2. Let q(v) = -5*f(v) + 7*h(v). Is 12 a factor of q(2)?
False
Let q be ((-4)/(-12))/(1/6). Suppose -24 - 28 = -q*g. Suppose s + 0*s - g = 0. Does 17 divide s?
False
Let u = -100 - -352. Is u a multiple of 7?
True
Let x = -30 - -35. Suppose -2*j = -x*z - j + 75, 4*z - 5*j = 60. Is z even?
False
Let b(p) = 10*p + 5. Let l be b(3). Let a = l + -19. Is 4 a factor of a?
True
Let a be (1 - 74/(-2))*35/14. Suppose 0 = -27*x + 26*x + a. Is 12 a factor of x?
False
Let w(y) = y**2 - 13*y + 16. Does 6 divide w(-16)?
True
Suppose 53*r - 50*r = -243. Let d = -3 + 0. Is (r - d)/((-3)/2) a multiple of 13?
True
Suppose 618 = 2*j - 2*s, -j - 4*s + 0*s + 329 = 0. Suppose 0 = 9*o - j - 20. Is 5 a factor of o?
False
Let n(p) = 2*p + 24. Let q be n(0). Suppose 5*b - 297 = -3*o - q, -b = -3*o - 51. Is 3 a factor of b?
True
Let c(k) = -k**2 - 6*k - 3. Let n be c(-4). Suppose 7*v - 3362 + 905 = 0. Suppose -3*t = n*w - v, 0*w + 5*w = 2*t + 366. Is w a multiple of 18?
True
Suppose 0 = -5*y + 2*y + 2*o + 3481, 5*y - 2*o = 5807. Suppose -12*u + 169 = -y. Does 12 divide u?
False
Suppose z - 3 = -5, 0 = 3*q - 2*z + 8. Let k be 4/16 + (-47)/q. Does 27 divide 327/k + (-4)/16?
True
Let c(x) = 3*x**3 - 26*x**2 + 8*x. Does 20 divide c(10)?
True
Does 59 divide -3 - -2 - (-1 + 2*-649)?
True
Suppose 5*x - 2*y - 3996 = 0, -4*x + 4*y + 3751 = 547. Is x a multiple of 19?
True
Suppose 3*q - 4*q + 5 = 0. Suppose 0 = -y - 3*g + 35, 126 = 4*y - q*g + 3*g. Is 20 a factor of y?
False
Suppose 32*x - x = 6138. Is x a multiple of 6?
True
Let y be (-2)/(-1) - 1/(-1). Suppose -7 = -y*f + p, p - 2 = -3*f - 3*p. Is 17 a factor of -22*(4/f + -3)?
False
Suppose 4*p - q + 8 = 0, -2*p - p + 3*q = -3. Let u be -2 - 4 - p/3. Let l = 12 - u. Does 10 divide l?
False
Suppose 0 = b - 8 + 7. Let i(h) = 10 + 6*h - 2*h - b - 3*h. Does 4 divide i(-5)?
True
Suppose 5*x + 3*d + 258 = 5*d, 2*x + 5*d = -80. Let h = x - -94. Is h a multiple of 8?
False
Suppose 2*a - 29 = -5*g, 0*g - 2*g = 5*a + 1. Is (g/(-2))/(-1 + 52/56) a multiple of 8?
False
Let w(s) be the second derivative of s**4/12 - 2*s**3 + 15*s**2/2 + 6*s. Is w(11) even?
True
Suppose -2*d + 24 = -j - 111, -4*d = -j - 275. Does 5 divide d?
True
Let r = 34 + -79. Let i = 70 + r. Is i a multiple of 25?
True
Suppose 5*o = -5*c - 0*o + 1270, 5 = -5*o. Let l = -126 + c. Is 27 a factor of l?
False
Let h(b) = 39*b**2 + 3*b - 4. Let j be h(1). Let r = j + -12. Is r a multiple of 6?
False
Suppose 0 = -3*x - 9, 0 = -5*s + 5*x + 899 + 841. Is 14 a factor of s?
False
Let o(g) = -5*g**2 - 5*g - 3. Let q(b) = -2*b**2 - 2*b - 1. Let c(x) = 4*o(x) - 11*q(x). Let j be c(1). Does 12 divide (17/j)/((-2)/(-6))?
False
Is 1 - 9495/(-35) - (-6)/(-21) a multiple of 34?
True
Let g be 24/(-2 + 1 + 0). Let u = g - -41. Is 17 a factor of u?
True
Let b(x) = 2*x + 17. Let d be b(-7). Is 20 a factor of (-32)/(d/(30/(-4)))?
True
Let y = 33 - 20. Let l(k) = k**3 - 12*k**2 - 12*k + 36. Is 8 a factor of l(y)?
False
Let a be (6/(-10))/((-24)/(-2512))*-5. Let k = a + -169. Does 29 divide k?
True
Let g(d) = -5*d**3 + d + 2. Suppose 15 = -5*w + f - 2*f, 0 = -5*w + 3*f + 5. Let h be g(w). Suppose 5*c - r = 55, 0*r + 2*r + h = 3*c. Is c a multiple of 3?
False
Does 26 divide (738/(-27))/((-26)/24 + 1)?
False
Let i be (0 + 1)*(-6 - 17). Let m = 65 + i. Is 14 a factor of m?
True
Suppose 5*i - 8152 = 4*v, -3*i - 2*v + 5179 - 279 = 0. Does 26 divide i?
False
Suppose 2*k - 3*g = 10, -3*k + 0*g - 4*g = -15. Suppose -k*u + 6 = 3*l, -3*u - 1 = -5*l + 9. Let v = 31 + l. Does 11 divide v?
True
Suppose 3*m = -5*n - 194, 0 = m + m + 3*n + 128. Let g = 3 - m. Is g a multiple of 11?
False
Suppose 4*s - 193 = 43. Is 13 a factor of s?
False
Let y = 298 - -458. Is 27 a factor of y?
True
Suppose -92 = -5*t + t. Suppose -i = -4 - t. Suppose 2*k + 9 = i. Does 9 divide k?
True
Let o =