c + -23. Suppose 5*h - b = 38. Is h a multiple of 7?
True
Suppose 4*a - 3*u = -4*u + 200, -5*a - 4*u = -261. Is 10 a factor of a?
False
Let o be (-2)/(-6) - (-1)/(-3). Suppose -3*b - 2 - 6 = k, o = -2*b - 3*k - 10. Is 12 a factor of (-4)/10*60/b?
True
Suppose -5*l + 2*g = -202, -4*l + 4*g = -224 + 60. Does 10 divide l?
True
Suppose -5*c = -29 + 4. Suppose 5*x + 8 = -3*t, 2 - 10 = -3*t - x. Suppose 117 = t*i + c*n, -4*n - 1 = -i + 2. Is 16 a factor of i?
False
Let n be (0*(4 - 3))/1. Is (-1 + n)*114/(-3) a multiple of 19?
True
Let m(i) = -i**2 + 11*i + 6. Suppose 3*t + 0*t - 24 = 0. Does 10 divide m(t)?
True
Suppose -4*q - 230 + 58 = 0. Let h = q + 68. Is 8 a factor of h?
False
Let a = -78 + 105. Is a a multiple of 19?
False
Let r = 5 + 2. Let n(w) = -2 + 0 - w**2 + 8*w + 7. Is n(r) a multiple of 6?
True
Does 4 divide 2/3 - (-2616)/72?
False
Let k = 277 + -194. Does 19 divide k?
False
Let w = 102 - 30. Is w a multiple of 24?
True
Let s(v) = -3*v - 3. Let w be s(-4). Let f be (-4)/18 + 92/w. Does 12 divide f + 1/2*4?
True
Let c(f) = -2*f - 4. Is c(-9) a multiple of 7?
True
Let v = 0 + 0. Let w(u) = -u**3 - 9*u**2 + 10*u + 6. Let i be w(-10). Suppose 3*x + 21 = i*x - 3*c, v = 3*x + 3*c - 21. Is x a multiple of 6?
False
Suppose -5 = -2*p - 1. Let d be -1 - (2 - 44/2). Is 16 a factor of -3*d*p/(-3)?
False
Let j = 9 - 17. Let p = j - -17. Does 8 divide 6/4*96/p?
True
Let i be ((-4)/(-2))/((-2)/32). Let o be (-20)/((-1)/2*2). Let g = o - i. Is g a multiple of 21?
False
Let c(l) = 17*l - 3. Let s(n) = 18*n - 2. Let y(m) = -3*c(m) + 4*s(m). Is y(1) a multiple of 11?
True
Suppose -3*k = -5*l - 53, 23 = 5*k - 2*l - 97. Is k a multiple of 13?
True
Suppose u + 2*u - 313 = -l, 4*u - 2*l - 434 = 0. Is u a multiple of 12?
False
Suppose 6*r - 10*r + 56 = 0. Is 14 a factor of r?
True
Suppose 0 = 2*j + 4*n - 164, -j = -0*j + n - 87. Is j a multiple of 23?
True
Let t(r) = r**2 - 6*r - 11. Let x be t(12). Suppose 4*v = -d + 10 + 39, -4*v + 3*d + x = 0. Is v a multiple of 8?
False
Let d(w) = 9 + 0*w + 7*w**2 + 0*w - w**3 - 7. Does 25 divide d(4)?
True
Suppose -4*v = -2*l - 223 + 63, 0 = 4*v + l - 160. Does 19 divide v?
False
Let m be -4 - 24*1 - -3. Is (140/m)/(6/(-15)) a multiple of 4?
False
Let i = 44 + -5. Is i a multiple of 8?
False
Suppose -k - 3 = -4*b, 3*b - 5*k + 22 = 3. Suppose 4*q - 9 = -1. Is 2 - b - -34 - q a multiple of 21?
False
Let s = -78 + 123. Let b be 0/(1*-2*1). Suppose -4*d - d + s = b. Does 5 divide d?
False
Suppose 11 - 3 = -4*f. Does 4 divide 2*(-2)/f*2?
True
Let d be -1*(7 + 2)*-1. Let x be (1 - d)*30/(-24). Suppose -2*p - 2 = -x. Is p a multiple of 4?
True
Let g = 66 - 27. Suppose 2*z + 53 = 5*x, 0 = 4*x - 2*z - g - 5. Is 0 + (x - 0) + -1 a multiple of 8?
True
Let h(y) = 4*y**3 + 18*y**2 + 13*y + 21. Let s(z) = 3*z**3 + 12*z**2 + 9*z + 14. Let q(u) = 5*h(u) - 7*s(u). Let d be 2/(-3)*(-2 - 7). Is 7 a factor of q(d)?
False
Suppose -55 = -3*g + b, 3*g = 3*b + 2*b + 35. Is 4 a factor of g?
True
Suppose -2*p + m + 140 = 0, 196 - 56 = 2*p + m. Is p a multiple of 14?
True
Suppose -2*z - 2 = 4. Does 15 divide 38 + 9/(-3) + z?
False
Let p(h) = -2*h**3 - 7*h**2 + h + 6. Does 11 divide p(-5)?
False
Let u be 439/9 + (-4)/(-18). Let h = -1 + u. Does 24 divide h?
True
Suppose 0 = 3*h - 3*w - 24, 4*h - 16 = -w - 3*w. Is 3 a factor of h?
True
Let x(q) be the second derivative of q**4/12 + 5*q**3/6 + 2*q**2 + 2*q. Does 14 divide x(-8)?
True
Let l(m) = m**2 + 8*m + 3. Let p be l(-8). Let u(n) = 3*n - 3. Does 6 divide u(p)?
True
Let d(n) = -4*n + 3. Let j = 1 + 1. Suppose 5*r = j*r + 3*v + 6, 5*v = -3*r - 34. Is 15 a factor of d(r)?
True
Suppose -4*h = -5*h. Suppose h = 4*p + 4*k + 112, 5*p + 149 = -2*k + 6. Let j = -17 - p. Is j a multiple of 6?
True
Let s = 11 - 7. Suppose b + 9 = s*b. Is 3 a factor of 1*b*12/9?
False
Let j(x) = -x**2 + 5*x + 3. Let t be j(6). Let n = 22 + t. Does 19 divide n?
True
Let i(m) = m**3 - 7*m**2 + 4. Let j be i(7). Suppose 4*d = -z + 6, j*z = -2*d - 33 - 13. Let q = -7 - z. Does 5 divide q?
False
Let y(r) = r**2 + 10*r + 10. Let v be y(-8). Does 16 divide (-4)/v - (-230)/15?
True
Let l = -10 - -17. Suppose -3*y - 16 = -l*y. Suppose 42 = -y*a + 6*a. Is a a multiple of 21?
True
Let r(w) = 5*w**2 + w - 1. Suppose t - 3 = 0, -5*j + 4*t - 2 - 20 = 0. Is r(j) a multiple of 17?
True
Suppose -2*o + f + 15 = 2*f, 4*f = 20. Suppose -5*r + 30 = -o*y, -4*y - 12 = -3*r + 1. Does 11 divide r?
True
Let r(g) = g**2 + 9*g + 13. Let s be r(-9). Suppose 3*p = s + 8. Is p a multiple of 2?
False
Let k be 53/(-4) + (-12)/(-48). Let f = k - -18. Is 5 a factor of f?
True
Suppose -u = 2*u - 4*z - 35, 5*u + 5*z = 0. Let b = 14 + -4. Suppose b = u*l - 110. Is 12 a factor of l?
True
Let c = 11 + -5. Suppose 9 + c = 5*d. Suppose 8*n - 164 = d*n + 2*i, 5*n - 5*i - 170 = 0. Is 16 a factor of n?
True
Let v be ((-6)/(-4))/((-9)/60). Suppose -19 + 64 = 3*k. Let z = k + v. Does 5 divide z?
True
Let i(f) = -f**3 + 8*f**2 - 3*f + 8. Is 6 a factor of i(7)?
True
Let v(i) be the third derivative of i**6/120 - 3*i**5/20 + i**4/24 + i**3/2 - i**2. Is v(9) a multiple of 12?
True
Let f(t) = t**3 + 2*t**2 + 84. Is 12 a factor of f(0)?
True
Let m be 4 - (5 - 3) - -1. Suppose -6*w + m*w - 36 = -4*n, -2*n = -4*w - 28. Is 7 a factor of 372/18 + 2/n?
True
Let g(t) = -t + 10. Let a(i) = -i**3 - 2*i**2 + i. Let o be a(1). Let h be 0*o/12*-3. Is 10 a factor of g(h)?
True
Let v be ((-12)/(-10))/((-3)/20). Let t = 2 - v. Suppose 5*h - 65 = -t. Is 11 a factor of h?
True
Let j be ((-9)/12)/((-2)/(-16)). Is (-5)/(15/j) + 1 a multiple of 3?
True
Let c(b) = 4*b**2 + b - 1. Let f be c(-2). Let k = f + 0. Is 13 a factor of k?
True
Let l(q) = q**3 - 3*q**2 - 7*q - 16. Is 18 a factor of l(7)?
False
Let h = -38 + 53. Is 3 a factor of h?
True
Suppose 4*x + 2*j = -2, -4*x - 4*j - 10 = 2. Suppose 2*p = 5*t - 86, -4*t - 20 = -x*p - 88. Is 15 a factor of t?
False
Suppose 4*w + 3 = w. Let s be (-2)/w - (17 - 1). Let z = -10 - s. Is 2 a factor of z?
True
Suppose -4*b + 39 = -b. Is b a multiple of 9?
False
Let p(j) = 0*j + 0*j + 7*j. Is p(1) a multiple of 2?
False
Suppose -5*p = 4*s - 15, -s - 4*s - 15 = -5*p. Suppose f + 0*f = s. Does 13 divide 1 - (-37 - f/(-3))?
False
Let q(x) = x**2 - 2*x. Let k be q(3). Suppose 0 = o + k*o - 76. Is o a multiple of 7?
False
Let d = -5 + 22. Does 9 divide d?
False
Let d(p) = p**3 + 6*p**2 - 6*p + 3. Let q be d(-7). Let h = q + 10. Does 3 divide h?
True
Let p = 20 - 12. Does 15 divide -24*1/p*-18?
False
Is 27 a factor of ((-8)/(-6))/(8/492)?
False
Let z be (8/3)/(1/57). Suppose 4*f + z = -0*f. Let t = -22 - f. Is t a multiple of 7?
False
Let i be 1 + (1 - 3 - 7). Does 2 divide (i - -3)/(-1) - 0?
False
Let f(g) = -g**3 + 2 - 2*g - 1 - 6 - 3*g**2. Let i be f(-4). Let a = 32 - i. Is a a multiple of 9?
False
Let w(v) = -v**2 + 2*v + 91. Is w(0) a multiple of 6?
False
Let n = -2 - -49. Is 10 a factor of n?
False
Let w(p) = -7*p**3 - 2*p**2 + 2*p + 2. Let n be w(-2). Suppose 5*j - n = -3*o + 29, 0 = -2*o + 5*j + 50. Is 11 a factor of o?
False
Let a be (-1 + 2)/(2/10). Suppose -2*z + 2*p + p = -36, -p - 77 = -a*z. Does 5 divide z?
True
Let n(f) = 29*f**2 + 2*f + 1. Let g = 3 + -1. Suppose a - 2 = g*p, 5*p = 5*a - 4*a - 5. Is 15 a factor of n(p)?
False
Suppose 2 + 10 = 3*k. Let n(h) = -h**3 + 4*h**2 + h + 2. Does 4 divide n(k)?
False
Let t(o) = -2*o - 3. Let z(h) = 6*h + 8. Let l(s) = 7*t(s) + 2*z(s). Does 3 divide l(-6)?
False
Suppose b + 534 = 4*o - 322, -o - b = -214. Suppose 0 = 5*z - 4*f - o, 0 = 3*z + f - 136 - 6. Is z a multiple of 15?
False
Suppose -5*h + 88 = -h. Is h a multiple of 22?
True
Let m(s) = 5*s**2 - s. Is 15 a factor of m(-3)?
False
Let k = -42 + 28. Let i = k + 23. Is 3 a factor of i?
True
Suppose 3*z + 4*j = 2, 0*j - 3*j = 5*z - 7. Does 15 divide (2 - z)/(-2) + 20?
False
Let n(t) = -t**2 - 3*t - 2. Let v be n(-1). Suppose v = -8*c + 3*c + 40. Is c a multiple of 8?
True
Let i be 1 + (2 - 2) + 75. Let t = i + -20. Does 14 divide t?
True
Let l(q) = 2*q - 1. Let b be l(-1). Does 11 divide (19 + 2)*(-2)/b?
False
Suppose 0 = -3*w + 4*w + 300. Let m be 12/(-5)*w/8. Suppose 5*j - 3*j - m = 0. Does 12 divide j?
False
Suppose 0 = -3*l - 7 + 13. Suppose -5*w + 2*f + 226 = 0, -3*w + l*f + 159 = 21. Does 16 divide w?
False
Let l be (-3)/6*1*-8. Let h = -1 - -