 43 = 3*u, -u = -2*q + 51. Is 4 a factor of q?
True
Let u(x) = -x**3 - 25*x**2 + 24*x + 5. Let t be u(-27). Suppose -310 = -2*g - 2*i, -5*i = -5*g - 2*i + t. Is g a multiple of 16?
True
Let n = -25 + 164. Suppose -10*r + 61 + n = 0. Is r a multiple of 2?
True
Let x(s) = 34*s - 15. Let p(w) = 33*w - 15. Let g(m) = 6*p(m) - 5*x(m). Let i be g(9). Suppose 23 + i = 5*c. Is c a multiple of 13?
True
Suppose 5*l + 1 = -184. Let x = -33 - l. Is 8 a factor of 715/22 - 2/x?
True
Let c(g) = 28*g**3 + 1. Let d be c(-1). Is d/2*(-92)/(-24)*-4 a multiple of 23?
True
Let z = 181 - 69. Let p = 53 - z. Let y = -35 - p. Is 12 a factor of y?
True
Suppose -5*g = -2*d - g + 4, 2*d = -2*g + 34. Is 3 a factor of (-12)/(-3 - d/(-8))?
False
Let w = -17 + 35. Let g be (0 + -15)*(-6)/w. Is 34/g*(6 + -1) a multiple of 15?
False
Let v = 1857 - 1317. Is v a multiple of 6?
True
Suppose 3*l + 149 = 50. Suppose -5*u - 45 = 105. Is 9 a factor of (l/(-55))/((-1)/u)?
True
Let s be -12*(10/4 - 3). Let v be s/18 + 6/9. Suppose 5*j + v + 0 = w, 2*j + 34 = 2*w. Is w a multiple of 7?
True
Let p(m) = 3*m**2 + 3*m + 3. Let s(q) = -4*q**2 - 2*q - 4. Let z(c) = -3*p(c) - 2*s(c). Let a be z(-4). Let k(o) = 5*o - 3. Is k(a) a multiple of 6?
True
Suppose b + 6 = q, -3*q - 7 = -4. Let w be 4/(-14) - 23/b. Suppose -2*d = -21 - w. Does 7 divide d?
False
Suppose -3 = 5*m - 3*x, 0 = -4*m - 2*x - x + 3. Suppose -2 = -m*f - f. Suppose -5*u - 4*k + 19 = -7*k, -2*k - 2 = f*u. Is 2 a factor of u?
True
Let c(l) = -l**3 + 23*l**2 + l - 24. Let f be c(23). Is 9 a factor of -6 - 105*-2 - (0 + f)?
False
Let x = 31 - 13. Let j be 11/(-9) - (-4)/x. Let n(z) = -6*z**3 + z**2 - z - 1. Is n(j) even?
False
Let u(q) = -4*q + 1028. Is 19 a factor of u(29)?
True
Suppose 0 = -4*g + 4*b + 6572, 3*g + 6*b = 8*b + 4926. Does 34 divide g?
False
Is ((-171)/(-12))/(4 - (-158)/(-40)) a multiple of 33?
False
Suppose 40*s - 46*s + 912 = 0. Is 2 a factor of s?
True
Suppose -530 - 1978 = -44*c. Does 4 divide c?
False
Let q(u) = 2*u**2 + 7*u + 27. Does 51 divide q(-13)?
False
Suppose y + 3 = 0, -5*n + 2*y - 7*y - 5 = 0. Suppose -2*i + 15 = n*i + z, 4*i - 18 = -2*z. Is i/(3/23)*1 a multiple of 15?
False
Let m(p) = 2*p - 7. Let h be m(5). Let f(a) = -6*a**3 + a + 7 + 8*a**3 + a**2 - 3*a**h. Is 2 a factor of f(0)?
False
Let p(i) = 75*i - 20. Let s be p(4). Suppose l - f = 92, -6*f + 5*f = 3*l - s. Is 31 a factor of l?
True
Does 73 divide 18/36 - 14095/(-10)?
False
Let r(o) = -o**3 - 3*o**2 + o + 6. Let m be r(-6). Suppose -38*c - m = -41*c. Does 9 divide c?
True
Let f = -177 - -270. Is f a multiple of 31?
True
Is 2 a factor of -6 + 82/(-3)*(-6)/4?
False
Let k(c) = -c**3 + 7*c**2 - c + 4. Let l be (7 - 1)/((-5)/(-5)). Let a be 72/(-20)*(-10)/l. Is k(a) a multiple of 17?
True
Suppose 2*f = -5*u + 1, -3*f + 2*u + 8 = 3*u. Suppose 3*c = 4*w + 2*c - 41, -f*c = 4*w - 53. Is w a multiple of 2?
False
Let m be 0 + (0 - 48/(-4)). Is 3 a factor of (-60)/(-8)*m/5?
True
Is ((-10)/6)/(32/(-672)) a multiple of 3?
False
Let i(h) = 118*h + 28. Is i(8) a multiple of 30?
False
Let d(c) = c**3 - 14*c**2 + 15*c. Suppose 104 = 4*j + 4*j. Does 18 divide d(j)?
False
Suppose 2*h = -5*r - 2, 0 = -4*r + h - 2*h - 1. Let j = r + 4. Suppose 9*d - 4*d = j*l - 207, 4*l - 189 = -d. Is l a multiple of 27?
False
Let c(h) = 61*h - 79. Is 24 a factor of c(19)?
True
Suppose -16*l + 1700 = 4*l. Does 56 divide l?
False
Suppose 3 = 5*b - 2. Let q(y) = 3 - b - y**3 - y**3 - 3*y - 5*y**2 - y**3. Is 15 a factor of q(-3)?
False
Let l(p) be the third derivative of p**4/8 + 14*p**3 + 5*p**2 - 3*p. Is 16 a factor of l(0)?
False
Is (-2)/(-14) - (-818948)/364 a multiple of 8?
False
Let i(o) = 20*o**3 + o**2 - o. Suppose 25 = 2*f - 4*v - 17, -2*f + 14 = 3*v. Let c = f - 12. Does 10 divide i(c)?
True
Suppose -5*o = -25*i + 22*i + 1319, 1349 = 3*i + o. Is i a multiple of 7?
True
Suppose -2*w = 6, -11 = -4*t - 2*w - 1. Suppose 3*k + 21 + 230 = t*d, -34 = -d - 5*k. Is 9 a factor of d?
False
Let b(t) = -10 + 1 + 2*t + 6*t**2 + 9 - 2. Does 23 divide b(4)?
False
Let t be -2 + -2 + 1 - -201. Let x = t - 99. Suppose x = 2*w + w. Is 11 a factor of w?
True
Let f(q) = -q**3 + 20*q**2 - 13*q + 43. Is 20 a factor of f(19)?
False
Suppose 2*k = -5*h + 63, -k - 2*h = 2*h - 39. Does 2 divide 58/10 - k/(-95)?
True
Let y(i) = -42*i - 24. Suppose -19 = 7*o + 16. Does 12 divide y(o)?
False
Suppose 138*k = 121*k + 4522. Is k a multiple of 38?
True
Suppose 3*b - 41 + 14 = 0. Suppose b = -4*k + 7*k. Is k a multiple of 3?
True
Suppose 2*u - 5*y + 17 = 0, -3*u + 7*u - 4*y + 4 = 0. Suppose -u*o = -8*o + 56. Is 6 a factor of o?
False
Let k(l) = 2*l**2 - l - 4. Let u be k(2). Suppose -5*r - 287 = u*r. Let h = -23 - r. Does 6 divide h?
True
Let k(m) = 8*m - 77. Is k(21) even?
False
Suppose -u + 497 + 262 = 3*a, 2*a = -10. Is u a multiple of 3?
True
Let m be 143/26 - 2/(-4). Does 13 divide (32/m)/((-12)/(-234))?
True
Suppose 2*l + 4*n = 268, 9 = 4*n - 7*n. Does 14 divide l?
True
Let l be (-2 - -3)*(-62)/(-4)*-2. Let r = l - -42. Does 2 divide r?
False
Suppose -11*h - 7326 = -20*h. Is h a multiple of 14?
False
Let c be -99*((-7)/3 - -2). Let v be 12 + -11 - (-1 + -286). Suppose v - c = 5*s. Does 17 divide s?
True
Let o be (10/15)/((-6)/(-27)). Suppose 10 = o*d + 4. Suppose -l + d*l - 2*u = 29, -l - 2*u = -13. Is l a multiple of 5?
False
Let i = -12 + 9. Let o(v) = v**3 + 3*v**2 - 3*v + 3. Let l be o(i). Suppose 0 = a - 0*a - l. Does 4 divide a?
True
Let y = -5 - -30. Suppose y = -4*v + 121. Is 12 a factor of v?
True
Let r be -157*(2/(-14) - 16/(-14)). Let o = r - -289. Is o a multiple of 22?
True
Let c = -24 + 464. Is c a multiple of 44?
True
Suppose 0 = -29*z + 2735 + 1615. Is z a multiple of 15?
True
Let x(o) = 24*o + 12 + 3*o - 15*o. Is 9 a factor of x(7)?
False
Suppose 8*o = -36 + 4516. Is 40 a factor of o?
True
Let h = 358 + -354. Let k be 4*7 + 0 + 0. Suppose j + k = z, h*z - 79 = z - 2*j. Is z a multiple of 9?
True
Suppose u + 10 = 24. Suppose 126 = 2*p - u. Is 14 a factor of p?
True
Let f = -366 + 1236. Is 7 a factor of f?
False
Let b(g) = 41*g**2 + 5*g + 20. Is b(-5) a multiple of 34?
True
Let m = 262 + 522. Is 49 a factor of m?
True
Let l be (32/24)/(2/207). Suppose 0 = -w + 47 - l. Let x = -44 - w. Is 14 a factor of x?
False
Let g = 35 - 20. Let o = 63 - g. Is 16 a factor of o?
True
Suppose 10 = v + 6. Suppose -8*k + v*k + 44 = 0. Is k even?
False
Let x(h) be the third derivative of h**6/120 + h**5/10 - h**4/3 + 2*h**3/3 - 9*h**2. Is x(-7) a multiple of 2?
False
Let g = -154 - -611. Is 87 a factor of g?
False
Suppose 63*a = 65*a - 724. Does 5 divide a?
False
Suppose -f + 4*g + 389 = -556, -2*f - 4*g + 1890 = 0. Is 92 a factor of f?
False
Let j(o) be the second derivative of o**6/120 + 3*o**5/20 - o**4/2 - 5*o**2/2 + 5*o. Let p(z) be the first derivative of j(z). Does 4 divide p(-10)?
True
Let v(i) = 2*i**2 + 5*i + 3. Let d(p) = -2*p**2 + 3*p - 1. Let l be d(2). Let o be v(l). Does 15 divide -111*2/o*-2?
False
Let t be -4*(-3)/(48/92). Suppose 0 = -5*q - r + t, -q + 7 = r - 0. Suppose q = -k, -3*k + 28 = d + d. Is 10 a factor of d?
True
Let v = -11 + 12. Let i be (48/6)/(-2 + v). Let l = i + 23. Does 5 divide l?
True
Suppose 0 = 45*u - 0*u - 31680. Is 16 a factor of u?
True
Let y be 6 - (-6 - 12/(-3)). Let n(g) = g**3 - 6*g**2 - 7*g - 1. Does 17 divide n(y)?
False
Let v be 10/(2/2 - 0). Does 15 divide v/65 + (-700)/(-13)?
False
Suppose -4*n + 7 = -5*m, -2*n - 5*m - 5 = -46. Let i(r) = r**2 + r - 1. Let a be i(n). Suppose 5*w - 71 = -3*s + 28, 2*s - a = -5*w. Is s a multiple of 24?
False
Suppose 111*z - 126*z + 3075 = 0. Is 21 a factor of z?
False
Let n(w) = 206*w**2 + 5*w + 2. Is n(2) a multiple of 92?
False
Let k = -40 - -200. Does 5 divide k?
True
Let p = 1558 + -856. Is 13 a factor of p?
True
Is 54 a factor of ((-684)/(-20))/((-3)/(-180))?
True
Suppose 3*r + r = 4*h - 72, h - 5*r - 10 = 0. Let q be (2 + -1)/((-3)/(-9)). Suppose q*k = k + h. Does 2 divide k?
True
Let g be -3 + 2 + (-2 - -3). Suppose -3*m + 2*m - 70 = g. Let y = m + 102. Is 16 a factor of y?
True
Let b = -54 + 119. Is b a multiple of 13?
True
Suppose 26 + 25 = -r. Let v = r + 114. Let k = v - 33. Is 6 a factor of k?
True
Suppose 9*a - 5578 = 7*a - d, d = -5*a + 13942. Is a a multiple of 90?
False
Let l = 451 + -810. Let k = l - 