?
True
Suppose -2*v + 5 = -17. Let t(p) = p**3 - 10*p**2 - 10*p - 4. Let g be t(v). Suppose -61 - g = -2*a. Is 15 a factor of a?
False
Let i(z) = z**2 - 8*z + 5. Suppose q + 0*q - 2 = -h, 5*h + 26 = q. Let d be i(q). Let t(w) = w**2 + 5*w + 6. Is t(d) a multiple of 10?
True
Let r(s) = s**2 + 2*s + 10. Does 5 divide r(-5)?
True
Let k = 90 - 56. Does 10 divide k?
False
Suppose -3*h + 77 = -5*n, 2*h - 2*n = h + 24. Suppose 3*a = a + h. Does 17 divide a?
True
Suppose 3*l - 5*l + 3*o = -69, 2*l + 4*o = 48. Let h = l + 0. Is 10 a factor of h?
True
Suppose -36 = -6*s + 2*s. Is 9 a factor of (-52)/(-5) + s/15?
False
Suppose -3*d - 2*x + 344 = 0, -8*d - 4*x + 464 = -4*d. Is d a multiple of 14?
True
Let n be (-217)/(-4) - (-3)/(-12). Let s = -12 + n. Is s a multiple of 21?
True
Let x = -6 - -9. Suppose -x*z = -0*z - 72. Does 6 divide z?
True
Let p = -131 - -203. Is p a multiple of 12?
True
Suppose 131 = w + 5*q, -3*q + 2*q - 251 = -2*w. Is w a multiple of 27?
False
Let o(n) = -n**2 + 7*n + 10. Let r be o(7). Does 10 divide 456/15 + (-4)/r?
True
Suppose 4*r + 35 = 5*l - 300, 0 = -4*l + 4*r + 272. Is 7 a factor of l?
True
Let b be 8/(-44) + 92/22. Suppose 0 = 2*q + 4*l - 58, 8 = -2*l + b*l. Is q a multiple of 21?
True
Let q(h) = 6*h**3. Let y be q(1). Is 13 a factor of 13/2*(y + -4)?
True
Suppose -5*c + 108 = -57. Is c a multiple of 11?
True
Let n be (-3)/(-1) - (3 + -45). Let q = -23 + n. Does 12 divide q?
False
Suppose -916 = -3*w - 2*m, 2*w + 0*w = -4*m + 600. Does 51 divide w?
False
Let v(a) = a**2 + 3*a + 4. Let d be v(-4). Suppose 5*u + 3*s - 85 = d*s, 4*u - 77 = -5*s. Does 5 divide u?
False
Let q(l) = -38*l - 79. Does 10 divide q(-7)?
False
Suppose 4*n - n = 267. Is n a multiple of 7?
False
Let b = 7 + -1. Is 18 a factor of 2670/50 - b/(-10)?
True
Suppose 2 = i - 4*a, 3*i - 4*a - 16 - 6 = 0. Does 5 divide i?
True
Suppose 3*v + 570 = 5*b, v + 366 = 3*b + 4*v. Is 19 a factor of b?
False
Suppose 10 = -2*k, 7*k = -4*s + 2*k + 27. Is s a multiple of 13?
True
Is 22 + (-6)/8 + 15/(-12) even?
True
Suppose -3*t + t = -100. Does 12 divide ((-120)/t)/((-1)/5)?
True
Suppose 16*g - 21 = 13*g. Does 7 divide g?
True
Suppose 480 = q + 2*q. Suppose 2*i = 7*i - q. Is 15 a factor of i?
False
Suppose 3*j - 26 = 4. Let d = -6 + j. Is 6*(-1)/((-6)/d) even?
True
Let k be (-186)/(-9) + 6/(-9). Suppose -2*u + 5*n = -77, -220 = -5*u + 3*n + k. Suppose 0*v = -2*v - 3*i + 26, 0 = -5*v - 4*i + u. Is v a multiple of 7?
True
Suppose 2 = 4*f - 3*f. Suppose f*m + 9 = -3. Let b(l) = -l**2 - 7*l + 6. Is b(m) a multiple of 12?
True
Let k = -6 + 7. Let z be 3 + k/(-2)*-2. Suppose o - z*o + 114 = 0. Is 19 a factor of o?
True
Suppose 2 = -j - 2. Let n = j + 4. Suppose n*m + 120 = 4*m. Does 15 divide m?
True
Suppose 0 = -3*i - 0*i. Let v be i*(3 - 2)/(-1). Suppose -2*y - 2*y + 32 = v. Does 8 divide y?
True
Is 114 + -4 + (2 - 0) a multiple of 14?
True
Let h = 70 - 46. Suppose -r - r = -h. Is 12 a factor of r?
True
Let i(m) = m - 7. Let d be i(10). Let s = 0 + d. Does 3 divide s?
True
Suppose 0*w + 3*w - 3 = -2*l, -6 = -3*l - 4*w. Does 4 divide (2 - -6) + (4 - l)?
False
Suppose -3*c - c + 28 = -4*i, -2*c + 5*i = -23. Let d(j) = j + c*j + j**3 + 5*j**2 + j - 1 - 5*j. Does 7 divide d(-3)?
True
Suppose 45 + 3 = 6*s. Does 4 divide s?
True
Suppose 70 = 5*o + 5*t, -o + 3*t + 2*t + 26 = 0. Let i be (24/o)/(1/2). Is 7 a factor of (-30)/2*(-2)/i?
False
Let n = -3 - -3. Let a = 5 + -4. Is 4*(a + n/2) a multiple of 2?
True
Let a(u) = -u**2 + 17*u + 13. Let b(m) = -m**2 + 17*m + 14. Let h(n) = 3*a(n) - 2*b(n). Is 8 a factor of h(16)?
False
Suppose 7*h - 2 = 4*h + 4*m, -4*h + 5*m = -2. Is -4 - (44 - 4)/h a multiple of 16?
True
Let u(k) = k**3 + 8*k**2 + k - 8. Let b be 2/4 - (-75)/(-10). Is u(b) a multiple of 20?
False
Suppose 19 = 3*p - d - 9, -5*p - 5*d = -40. Is p a multiple of 3?
True
Let y(z) = z**2 + 5*z + 4. Suppose -j = -2*v - 2 + 3, -2*v - 29 = 5*j. Does 4 divide y(j)?
True
Let c(l) = 4*l. Let x be c(2). Does 30 divide (-239)/(-4) + 2/x?
True
Is 7 a factor of 1/(-3) + 88/12?
True
Let k = -14 + 76. Let v = k - 2. Suppose 0*x = -x + v. Is x a multiple of 18?
False
Let w(l) be the third derivative of -13*l**6/120 + l**5/60 + l**4/24 + l**3/6 + 3*l**2. Is w(-1) a multiple of 7?
True
Suppose -3*a - 112 = -751. Does 35 divide a?
False
Let l = -794 + 1149. Suppose 0 = 9*q - 4*q - l. Is q a multiple of 27?
False
Suppose 5*y - 203 - 55 = 4*m, 4*y = 2*m + 210. Is 17 a factor of y?
False
Let d(q) = q - 6. Let i be d(0). Let r(s) = -s**3 - 7*s**2 - 9*s - 5. Is 13 a factor of r(i)?
True
Suppose 0 = 5*j + 25, -7 = -2*k + 4*j + 71. Is k a multiple of 29?
True
Let j = -65 - -219. Is j a multiple of 22?
True
Suppose 0 = 5*n + 3 - 13. Does 2 divide n?
True
Let a = 420 + -261. Is 17 a factor of a?
False
Is (-86 - 0)*3/(-6) a multiple of 17?
False
Let v(y) = -8*y - 4. Let s(r) = r - 1. Let q(h) = -28*h - 22. Let b(a) = q(a) - 5*s(a). Let g(o) = 6*b(o) - 26*v(o). Is 12 a factor of g(2)?
False
Let y(f) = 2*f - 4. Let p be y(3). Let r be ((-3)/p)/((-6)/8). Is 1 + (26 - (0 + r)) a multiple of 12?
False
Suppose -3*k - 2*p + 18 + 19 = 0, k + 4*p - 9 = 0. Is 3 a factor of k?
False
Suppose v = -2*q - 7, 5*v - 5*q + 4*q - 20 = 0. Suppose 3*p + 2*p = 0. Suppose p = -2*o, -v*o = -3*c + 2*o + 21. Is 7 a factor of c?
True
Let y(u) be the second derivative of u**6/40 + u**5/30 + 3*u**2/2 + 4*u. Let a(c) be the first derivative of y(c). Is 12 a factor of a(2)?
False
Let g = 122 - 13. Suppose 2*i - 23 - 147 = -2*j, -i + 5*j = -g. Suppose 0 = -3*n + i - 32. Is 9 a factor of n?
False
Suppose -4*o - 5*t = -0*t - 11, 0 = 4*o - 5*t - 21. Suppose -6*x = 3*k - x - 16, o*k - 32 = -4*x. Let s(c) = c**3 - 11*c**2 - 10*c + 12. Does 11 divide s(k)?
False
Let c = -48 + 237. Suppose -3*o - c = -6*o. Is o a multiple of 22?
False
Let j(i) = i**3 + 4*i**2 + i - 7. Let p be j(-3). Does 12 divide p*(-108)/((-9)/(-3))?
True
Let h be (((-64)/(-1))/4)/2. Is 3 a factor of (9 - h)*(-1 - -13)?
True
Suppose -64 = -3*f + 11. Does 10 divide f?
False
Suppose -5*t - 279 = -3*u, -u - t - 4*t = -113. Does 15 divide u?
False
Let a = 23 + -5. Is a a multiple of 6?
True
Let y be (-1)/((-10)/4 - -2). Suppose y*q + 47 = -0*w + 3*w, -5*q = -3*w + 50. Is 9 a factor of w?
False
Let r(a) = -a**2 + 4*a - 1 + 2*a - 3. Let f be r(5). Does 12 divide 23 + f + -1 + 1?
True
Let h = -53 - -86. Is h a multiple of 33?
True
Let b = 2 + 0. Suppose -b*o - 2*o + 24 = 0. Does 16 divide (3/1)/o*32?
True
Let r(u) = 12*u - 12. Let x be r(8). Suppose -5*t = -t - x. Is t a multiple of 7?
True
Let w(r) be the third derivative of r**8/6720 + r**7/1680 - r**6/360 - r**5/30 - 2*r**2. Let d(x) be the third derivative of w(x). Does 13 divide d(-3)?
False
Suppose 5*y - 33 = -8. Suppose -y*x + 195 = -20. Let i = -19 + x. Is 12 a factor of i?
True
Let c = -15 - -56. Is 5 a factor of c?
False
Let p = 1 + 4. Suppose 0 = -p*l + l + 20. Suppose l = k + 3*i, 40 = k - 3*i - i. Does 10 divide k?
True
Let h(t) = 9*t - 6. Is 13 a factor of h(5)?
True
Suppose -4*a = a - 305. Is a a multiple of 18?
False
Is 30 a factor of (1 - (-1)/1)*199/2?
False
Suppose 0 = 5*m - 0*m. Suppose m = p - 1, p + 3*p - 172 = -3*t. Is t a multiple of 22?
False
Let d be (28/(-21))/(4/(-6)). Suppose 2*q + d*a = 10, 2*q - 2 = q - 2*a. Is q a multiple of 6?
False
Is 8 a factor of (-16)/((-13)/14 - 6/(-14))?
True
Let o be 8/10*220/4. Suppose -z = -0 - o. Is 11 a factor of z?
True
Let i(l) = l**2 - 7*l + 1. Let k be i(7). Suppose u + k = 4. Suppose u*d = -3, -x - x + 5*d + 55 = 0. Is 13 a factor of x?
False
Suppose 0 = 4*k - 3*k, 5*b - 710 = -k. Suppose b = 5*d + 12. Is 17 a factor of 888/26 - 4/d?
True
Let f = -13 + 18. Suppose -4*a - 35 = -f*k - 5*a, -5*k + 50 = -2*a. Is k a multiple of 8?
True
Let c(k) = k**2 + 4*k + 11. Is 11 a factor of c(7)?
True
Let s(u) = -u**2 - 7*u + 3. Let d be s(-7). Suppose j + 14 = w, -d*j - 6 = -w + 12. Does 10 divide w?
False
Let f be 1/(-4) + 190/(-8). Let x = 16 + f. Let c = 52 + x. Does 22 divide c?
True
Let s(v) = -v**3 - 10*v**2 + 9*v - 15. Is 2 a factor of s(-11)?
False
Let b(j) = -6*j - 3. Suppose -5*t = -t + 20, 3*t + 3 = 3*p. Does 7 divide b(p)?
True
Suppose -8 = -5*x + 7. Suppose -x*h + h + 16 = 0. Is h a multiple of 8?
True
Suppose -c - 3*r + 17 = 0, -3*c - 4*r + 5 = -21. Suppose -c*n = 