False
Suppose 10*c + 1248 = 16*c. Does 13 divide c?
True
Let l = -82 - -125. Does 9 divide l?
False
Suppose 2*s + 0*s = 26. Suppose -s = -t - 0*t. Does 13 divide t?
True
Let s = -10 - -30. Is s a multiple of 12?
False
Let w(m) = 3*m**2 + 6*m + 4. Is 6 a factor of w(-4)?
False
Suppose 0*o = -o + 5*r + 5, 5*o = -r - 1. Suppose o = -t + 5*t - 80. Does 4 divide t?
True
Suppose 0*q + 2*q = 10. Let v be (-4)/10 - (-32)/q. Is 13 a factor of 3*-2*(-28)/v?
False
Let r(q) = 31*q**2. Let i = -2 + 1. Is r(i) a multiple of 9?
False
Let s(n) be the second derivative of 1/6*n**4 + 3*n + 0 + 1/3*n**3 + 2*n**2. Does 16 divide s(-3)?
True
Suppose 0 = -5*l - 34 + 169. Does 9 divide l?
True
Let v be (-2)/(-4)*3*2. Suppose 5*q + v*r - 25 = 0, -15 = -3*q - 0*r - 5*r. Does 5 divide q?
True
Let m(f) = -2*f + 11. Let n be m(-9). Suppose 3*v = n - 83. Let u = v - -38. Does 15 divide u?
False
Let i(z) = -2*z**3 - 4*z**2 + 5*z**3 + 8 + 11*z**2 - 4*z**3. Does 8 divide i(7)?
True
Suppose 7 + 2 = 3*k. Let x(r) = 6*r - 3. Does 14 divide x(k)?
False
Let h = -16 - -28. Is h a multiple of 3?
True
Let y be (-2)/2 + (20 - 1). Suppose 46 = 4*d - y. Does 8 divide d?
True
Suppose 2*p + 2*s - 140 = 0, -3*s - 87 = -3*p + 129. Does 15 divide p?
False
Let l(g) be the second derivative of g**4/12 + 6*g**2 + 2*g. Does 9 divide l(0)?
False
Let x(d) = 0 + 6*d - 6 + 4 - 2*d. Is x(3) a multiple of 10?
True
Let y = 16 + -23. Let l be (-107)/7 - 2/y. Is 34/10 + 6/l a multiple of 3?
True
Let j be (40/(-15))/((-4)/6). Suppose -j = -h - h. Suppose 0 = -7*y + h*y + 2*w + 56, y + 2*w = 16. Is 12 a factor of y?
True
Suppose -7*x + 4*u - 444 = -3*x, x + 2*u = -123. Is (x/10)/(2/(-4)) a multiple of 8?
False
Let l = -150 + 310. Does 20 divide l?
True
Let x(m) = 58*m**3 - 2*m**2 + 1. Is x(1) a multiple of 19?
True
Does 11 divide 1 - (-4)/(-10) - 1519/(-35)?
True
Suppose -3*h + 2 = -1. Let p(k) = 10*k**3 - k**2 + 1. Is 10 a factor of p(h)?
True
Let m(j) = j**3 - 7*j**2 - 4*j + 10. Does 34 divide m(9)?
True
Let t = 22 + 17. Suppose -l - m = -t, 2*l - 77 = -l + 5*m. Is 13 a factor of l?
False
Let m(v) = -11*v + 1. Let t(y) = 11*y - 2. Let h(w) = -4*m(w) - 3*t(w). Does 19 divide h(5)?
True
Suppose -3*j - y - 4*y = -465, 329 = 2*j - 3*y. Suppose 2*s + j = 4*w, -w + 0*s + 40 = s. Is w a multiple of 16?
False
Suppose 2*o - 6 = -o. Let z(a) = a + 1 - a**o + a - 11*a. Does 10 divide z(-6)?
False
Let w = -340 - -570. Is 23 a factor of w?
True
Let x(t) = t**2. Suppose b + 3*b = -16. Let y be x(b). Suppose 128 - y = 4*l. Does 11 divide l?
False
Let c(j) = 23*j + 6. Is c(3) a multiple of 21?
False
Suppose 0 = 5*k - 11 + 1. Suppose 24 = 2*y + k*y. Does 3 divide y?
True
Suppose 0 = 5*n - 3*y - 228, 0 = 5*n + 2*y + y - 252. Does 12 divide n?
True
Suppose 4*p = -0 + 12. Let s be 5/35 + (-468)/(-7). Suppose -9*a = -4*a + p*w - 86, 4*a - s = -3*w. Does 12 divide a?
False
Let w = 200 - 88. Is 14 a factor of w?
True
Let w be 5/25 + 76/(-5). Let i = w - -24. Is i a multiple of 6?
False
Let f be ((-12)/(-15))/((-2)/(-5)). Does 12 divide 1 + f - (2 + -23)?
True
Suppose 64 = -3*b + 277. Is b a multiple of 5?
False
Let j(d) = -28*d**3 - 2*d**2 + 1. Does 6 divide j(-1)?
False
Let t be 6/(-10) - 12/5. Let m = t - -37. Is 34 a factor of m?
True
Suppose y = 3*v - 3*y - 24, 5*v = y + 23. Let u(w) = -w**3 - 9*w**2 - 7*w - 3. Let o be u(-9). Suppose v*k = k + o. Does 10 divide k?
True
Suppose -3*u - 5*k + 42 = -0*u, -3*k + 42 = 3*u. Let j be (-4)/(-7)*u/4. Suppose 0 = j*y - 18 - 0. Is 8 a factor of y?
False
Is 22 a factor of ((-4)/(-6))/((-3)/(-198))?
True
Let b = -4 + 26. Suppose 34 = -9*v - 20. Let f = b + v. Does 16 divide f?
True
Let c be (21/14)/((-6)/(-164)). Suppose c - 266 = -3*q. Is 25 a factor of q?
True
Let j(m) = 5*m**2 - 8*m - 5. Is 32 a factor of j(-5)?
True
Let o be (-68)/(-18) + 4/18. Suppose 0*v + 264 = o*v. Let i = -26 + v. Does 19 divide i?
False
Let i(q) = q - 5. Suppose 3*n - 12 = 27. Is 8 a factor of i(n)?
True
Let q = -3 + 6. Suppose 2*y - 109 = -q*o, -55 = -4*y - 2*o + 175. Suppose 0 = 3*c - y + 20. Is 13 a factor of c?
True
Let g be -4*(-2 + (-15)/(-6)). Is (-158)/(-4) + g/4 a multiple of 20?
False
Let b(y) = -5*y - 50. Does 30 divide b(-22)?
True
Suppose 3 - 1 = -2*z, 0 = -2*a + 5*z - 11. Let j = a - -10. Does 13 divide 11 - j/((-1)/1)?
True
Let v = 37 - 1. Suppose -5*k + v = -9. Does 5 divide k?
False
Let i(n) = -4*n**2 + 3*n + 5. Let g(t) = -8*t**2 + 6*t + 11. Let y(r) = 2*g(r) - 5*i(r). Does 12 divide y(3)?
True
Let t(w) = w**3 + 2*w**2 + w + 1. Let s be t(-4). Suppose -2*f + f + 73 = -2*b, 0 = -4*f - 5*b + 227. Let d = f + s. Is d a multiple of 14?
True
Let t be (-141)/(-15) + (-6)/15. Suppose -2 = -c + t. Suppose 0*j - j + c = 0. Is j a multiple of 10?
False
Suppose 3*g = -9*g + 1620. Is 15 a factor of g?
True
Suppose 0*r = -3*k + 2*r + 18, 4*r = -4*k + 4. Suppose -62 = -k*y + 22. Suppose -y = -i + 21. Is i a multiple of 21?
True
Let k = -7 + 7. Suppose k = -2*u + 248 + 132. Suppose 2*x = 7*x - u. Does 19 divide x?
True
Let b(q) = q - 1. Let u(h) = -5*h + 6. Let l(i) = -4*b(i) - u(i). Let z(j) = 6*j**3 + j**2. Let g be z(1). Does 5 divide l(g)?
True
Suppose 5*f - 6 = 3*f. Suppose -4 = -c + o, -7 = 3*o - 4. Suppose 53 = c*p + f*n - 1, 0 = 2*p - 3*n - 46. Is 20 a factor of p?
True
Let q be 4/(-6)*-3 - 2. Let i = q - -5. Is i a multiple of 2?
False
Let g(y) = y - 11. Let d be g(11). Let r = 3 + d. Is 3 a factor of r?
True
Suppose -4*k + 52 + 64 = 0. Let z = k + -11. Is 18 a factor of z?
True
Let q = 1608 - 1143. Let f be q/(-10)*8/(-6). Let g = -23 + f. Is g a multiple of 11?
False
Let f = 55 - 1. Does 15 divide f?
False
Let u be (-2)/8 - (-27)/12. Suppose -3*m - 5 = 5*r, -3*m = u*r + 12 - 1. Suppose -f - r*c + 23 = c, 41 = 4*f - 5*c. Is f a multiple of 5?
False
Suppose -6 = 3*j - 4*j. Suppose -3*t - 5*s - 7 = 0, -1 + j = 3*t - s. Is t/3 + (-178)/(-6) a multiple of 13?
False
Let l(v) = 3*v**2 + 4*v - 1. Is 20 a factor of l(5)?
False
Suppose 1 = 3*f + 10. Let r = -7 - f. Let o(k) = -k**2 - 5*k + 1. Does 3 divide o(r)?
False
Let v(m) be the third derivative of m**8/20160 + m**7/630 - m**6/240 + m**5/15 - 3*m**2. Let f(a) be the third derivative of v(a). Does 7 divide f(-10)?
False
Suppose 3*p = p + 8. Suppose -3*t + 2 = -10. Suppose t*a + p*i - 24 = 0, 3*i = 5*a - 1 - 29. Is 6 a factor of a?
True
Suppose 3*s + 3*m - m = 63, -3*s + 63 = -3*m. Is 7 a factor of (-6)/s - 298/(-14)?
True
Let s be ((-190)/(-6))/((-1)/(-3)). Let v = s + -67. Is 14 a factor of v?
True
Let z be -4*1/(-2) + -80. Let l = 157 + z. Suppose t = m - 25, m - 4*m + 5*t + l = 0. Is 11 a factor of m?
False
Let f = -40 - -99. Is 16 a factor of f?
False
Let o(p) = p**3 + 18*p**2 + 17*p + 4. Let s be o(-17). Let y = 27 - s. Is 5 a factor of y?
False
Suppose -5*f = -0*i + 2*i, 32 = 2*i - 3*f. Let b(k) = -k**2 - 2*k + 4. Let o be b(-3). Suppose -z + o = -i. Is z a multiple of 7?
False
Suppose 260 = 4*c - 2*c. Let q = -1 - -5. Suppose c = q*s + s. Is s a multiple of 13?
True
Suppose -2*b = -4*b + 26. Suppose -b*c + 11*c = -38. Does 19 divide c?
True
Let r(l) = 6*l. Let u be r(1). Let z = 11 - u. Suppose -4*o + 65 = z*x, -4*o + 3*x = -2*x - 95. Does 13 divide o?
False
Let t = 48 - 21. Is t a multiple of 9?
True
Let z = 69 + -15. Is 15 a factor of z?
False
Suppose -4*x = -0*x + 72. Is 18 a factor of (-48)/(-2)*(-27)/x?
True
Suppose -287 = -4*f + 61. Is f a multiple of 8?
False
Let q(k) = 6*k**2. Does 6 divide q(-3)?
True
Is 1/2*(-7 + 7) + 144 a multiple of 12?
True
Let a(n) = -n**3 - 12*n**2 + n - 10. Let m be a(-11). Let c = -98 - m. Does 9 divide c?
False
Suppose -10 = -2*g, 3*w - 4*g + 4 = 2. Is (-117)/(-7) - w/(-21) a multiple of 10?
False
Suppose -4*l + 2 + 6 = 0, 2*l = 5*t + 214. Let x = 82 + t. Is x a multiple of 18?
False
Let f(y) = y**3 - 8*y**2 + 4*y + 4. Does 52 divide f(11)?
False
Let o be (-396)/(-10) - (-6)/15. Suppose -o = -3*q - 2*q. Let l = q + -2. Does 4 divide l?
False
Let w be 89/(-5) - (-1)/(-5). Let m be (-4)/w - 1814/(-18). Suppose 5*i - m = 59. Does 13 divide i?
False
Suppose -4*k - 5*q + 31 = 0, -4*k + 19 = -q + 2*q. Suppose -r + 130 = k*r. Is r a multiple of 9?
False
Let p(w) = 40*w + 6. Is 5 a factor of p(1)?
False
Let x = 8 + -6. Suppose v - 27 = -x*w - 0, 5*w - 66 = -v. Does 13 divide w?
True
Suppose 0 = -0*o + 3*o - 291