l. Is q a multiple of 13?
False
Let p(m) = m**3 - 3*m**2 + 2*m - 2. Let w = -29 - -35. Is p(w) a multiple of 33?
False
Let n(i) = 14*i**2 - 5*i + 6. Let m(q) = 12*q**2 - 5*q + 4. Let k(a) = 6*m(a) - 5*n(a). Let l(c) = c**2 - 4*c - 7. Let j be l(6). Is k(j) a multiple of 19?
True
Suppose -1135 = -7*i + 3*i + 5*p, 5*i - 2*p = 1406. Does 35 divide i?
True
Let c(t) = -t**3 + 11*t**2 + 19*t - 3. Let o be c(11). Let b = o + -66. Does 32 divide b?
False
Suppose -1716 = -2*d + 3*s, -821 = -d - 4*s + 37. Is 22 a factor of d?
True
Let p(n) = -4*n - 7. Let i(h) = -2*h - 22. Let y be i(-9). Let g be p(y). Does 3 divide ((-6)/g)/(2/(-39))?
False
Let r(c) = 18*c**3 + c - 2. Let n be r(2). Suppose 91 + 63 = 5*k + 4*x, -n = -4*k + 2*x. Suppose 5*j + k = l, -l - 2*j + 30 = -5*j. Is 8 a factor of l?
True
Suppose 65 = 4*m - 63. Is 16 a factor of m?
True
Let u = 78 + 202. Is 20 a factor of u?
True
Suppose -5*d + 3 = -4*d. Let j be (d + 6/(-3))*7. Let c(m) = -m**3 + 8*m**2 + 4*m - 3. Is 15 a factor of c(j)?
False
Suppose 0 = -2*l - 5*o + 367, 1000 = 5*l + 8*o - 12*o. Suppose 3*g - 413 = l. Does 29 divide g?
True
Let a(m) = -m**3 + 14*m**2 - 12*m - 10. Let v be a(13). Let x = v + -23. Let y = 7 - x. Is 13 a factor of y?
False
Let z(m) = 42*m + 408. Does 28 divide z(-7)?
False
Let x(u) = -u**3 + 11*u**2 + 9*u + 5. Let l be x(11). Let w = l + -12. Is 23 a factor of w?
True
Suppose 3*i = 3*y + 492, 3*y + 2 + 4 = 0. Does 4 divide i?
False
Suppose 120 = 2*z - 4. Is 20 a factor of z?
False
Suppose -5*x + 1825 = 5*v, 5*x - 2*v - 1872 = -68. Does 36 divide x?
False
Let o(w) = 226*w - 366. Is o(3) a multiple of 13?
True
Suppose -16*k + 4864 = 496. Is k a multiple of 20?
False
Suppose -5402 = -4*f - 2*j, -1 = -4*j + 3. Does 18 divide f?
True
Suppose -21 = -5*j + 4, 3*k - 3*j + 3 = 0. Let o(c) = -c**2 + 10*c + 1. Let p be o(7). Suppose -3*w - 5*f + 44 = 0, p = 2*w - k*f - 0*f. Does 5 divide w?
False
Let b be -3 + 3 + -4 + -2. Let h(s) = -s**3 + 6*s**2 - s + 3. Let t be h(5). Let q = t + b. Is 6 a factor of q?
False
Let q = 16 + 457. Does 47 divide q?
False
Let g(l) = -18*l**3 + 3*l - 2. Let k be g(-3). Suppose -4*o = o - k. Is o a multiple of 19?
True
Let j = -342 + 1042. Does 64 divide j?
False
Let y be -20 + 5 - 0/(-1). Let s be 2170/y*(-6)/4. Suppose 52 = 4*v - 5*n - s, -102 = -2*v - 4*n. Is v a multiple of 14?
False
Let n(z) be the first derivative of -22*z**2 - 4*z - 14. Is 21 a factor of n(-2)?
True
Let x(u) = 32 - u - 3*u - 34 - u**2. Is x(-2) a multiple of 2?
True
Suppose -2*l = 3*l. Suppose 3*x + j - 42 = l, 4*x - 33 = -5*j + 12. Suppose -14*s = -x*s + 10. Does 2 divide s?
True
Suppose 2*o + 619 = 5*o - d, -842 = -4*o - 2*d. Suppose 0 = -2*t + 4*w + o, 6*t = 2*t + 2*w + 428. Suppose -4*x + 132 = -t. Is x a multiple of 20?
True
Let r(s) be the third derivative of 0*s - 11*s**2 + 5/6*s**3 + 0 - 1/24*s**4. Is r(-3) a multiple of 8?
True
Let w(q) = q**2 + 4*q + 3. Let x be w(-3). Suppose c - 12 - 22 = x. Is 17 a factor of c?
True
Let m be ((-9)/(-6))/(6/392). Suppose -2*k + m + 10 = 0. Suppose -2*r + r + k = 2*j, 204 = 4*r + 4*j. Does 17 divide r?
False
Let v = -5 - -8. Suppose -t - 2 = v*h - 8, 2*h = 4*t + 4. Suppose k - 2*k + 8 = t. Does 8 divide k?
True
Let n(z) be the third derivative of -17*z**4/24 - 7*z**3/3 - 20*z**2. Does 37 divide n(-3)?
True
Suppose 528*v - 6708 = 522*v. Is v a multiple of 55?
False
Is (-8)/36 + (-170)/45 - -116 a multiple of 14?
True
Suppose 31 = 5*r + 1. Suppose -3*w - 18 = -r*w. Does 4 divide w?
False
Let f be (-16)/(-32)*(2 - 1)*0. Suppose -328 = -3*m - 5*x, 3*m + f*x = x + 298. Is 11 a factor of m?
False
Let z(a) = -a**3 + 33*a**2 - 199*a + 9. Does 66 divide z(20)?
False
Suppose -2*y = 5*c - 3*y - 122, -2*c + 59 = 3*y. Let h = 92 + c. Is h a multiple of 13?
True
Let w be 189/(-5)*((-20)/(-5) + -9). Suppose -w = -3*k + s, -94 = -5*k + s + 223. Is k a multiple of 8?
True
Let c = 106 - -169. Suppose 276*h - 73 = c*h. Does 10 divide h?
False
Let a(u) = 184*u - 219. Is a(6) a multiple of 32?
False
Let u(k) = -131*k - 343. Does 14 divide u(-6)?
False
Suppose 2*f = k + 7, -k - 3 = 3*f + 2*k. Let v be 1/(-4) + 85/4. Let h = v - f. Does 15 divide h?
False
Suppose u = -4*l - 2*u + 4904, 4*l = 5*u + 4936. Is l a multiple of 45?
False
Suppose -3*g + 25 = -5. Suppose v + 4*v = 4*j + 45, -2*v = 4*j + g. Does 2 divide v?
False
Let b be 42/147 + 1130/14. Suppose 5*v = -2*m + b, 4*m - 20 = -3*v + 23. Does 17 divide v?
True
Let m(u) = 4*u**2 + 4*u - 15. Let h be m(-5). Is 17 a factor of -3*(-1 + h/(-3))?
True
Suppose 30*s - 15438 = -4728. Is s a multiple of 7?
True
Let l(x) = 2*x - 17. Let a(v) = -3*v + 17. Let r(w) = -5*a(w) - 6*l(w). Let j be r(-14). Is (-60)/j*70/4 a multiple of 16?
False
Let t(i) = i**3 + 7*i**2 - 2*i - 31. Is t(8) a multiple of 11?
True
Let m(q) = -51*q - 33. Is 15 a factor of m(-3)?
True
Let y = -32 - -25. Let g = 10 + y. Suppose -4*c - 5*f = -44, 0*c = -2*c - g*f + 22. Does 5 divide c?
False
Let t = 1904 - 1099. Suppose t = 10*k + 5. Is 31 a factor of k?
False
Let w be (-4)/10 - 32/(-5). Suppose -w*j = -2*j - 160. Does 6 divide j?
False
Suppose 2*n - 854 = -2*i, 2*i = -3*n - 91 + 1371. Is n a multiple of 71?
True
Let a = 294 + -263. Does 3 divide a?
False
Suppose 0 = -3*g - 2*g + 15, 0 = -5*u - 3*g + 1734. Is u a multiple of 15?
True
Suppose -40 = -r + u, u = 2*r - 0*r - 85. Is 6 a factor of -2 - (3 + (4 - r))?
True
Let m be 2*(-2 - (-35)/10). Is 4 a factor of (4 + 5)/(m/6)?
False
Is 102 - ((-210)/(-12))/7*2 a multiple of 17?
False
Let n = -35 + 37. Let k be ((-2)/(-4))/((-3)/(-18)). Suppose -3*q - 2*c = -17, -k*q - 5*c = -n*q + 16. Is q a multiple of 2?
False
Let i = 20 + -14. Suppose -3 = -z, -5*n + 2*z - 146 = 210. Does 2 divide n/(-21)*i/4?
False
Is -265*((-1008)/30)/7 a multiple of 30?
False
Suppose 7*y = 2*y. Suppose 5*b = 3*t - 15, y = -3*b - 4 - 5. Suppose 0 = -t*p + 2*p - 5*r - 60, 0 = p - 4*r - 33. Is p a multiple of 5?
True
Suppose d - 15 = -2*d. Let t(l) = -5 - 1 + 10*l - 7 - 4. Does 11 divide t(d)?
True
Let k = -675 + 4674. Does 93 divide k?
True
Let h = -361 + 835. Is h a multiple of 4?
False
Let s be 120/(-5)*2/(-6). Let i be -12*((-36)/s + 0). Does 18 divide i/(-2 - -3) + 0?
True
Suppose -b = -2*n - 2*b + 19, -2*n = 4*b - 34. Suppose n*z = -z + 2416. Is 49 a factor of z?
False
Let v = 11 - -3. Suppose v = 5*n + 4*y, 4*n - 7 + 0 = y. Is 312/20 + n/5 a multiple of 4?
True
Let c(y) = y**3 - 10*y**2 + 25*y + 1. Let p be c(6). Suppose -136 = -9*b + p*b. Is b a multiple of 17?
True
Let i be -2*(-2)/4*-17. Let o = 25 + i. Is o a multiple of 8?
True
Suppose 12*m + 4*m = 32. Suppose 3*z + 3 - 9 = 0. Suppose -u + 7 = a, m*u = -z*u + 4*a + 4. Does 4 divide u?
True
Let d(l) = -24*l + 290. Does 46 divide d(-9)?
True
Suppose 1116 = 33*b - 27*b. Is b a multiple of 14?
False
Let h(n) be the third derivative of n**8/20160 - n**7/1680 + n**6/90 - 11*n**5/60 - 3*n**2. Let d(o) be the third derivative of h(o). Is d(7) a multiple of 14?
False
Let f = -435 + 1319. Is 10 a factor of f?
False
Let h(a) = -a**3 + 3*a**2 - 2*a + 2. Let m be h(2). Let p = m + 8. Is 10 a factor of p?
True
Let a(n) = 2*n + 18. Let i be a(0). Suppose y + i = 4*y. Does 14 divide 3 + 11*y + 0?
False
Let h = -19 - -144. Suppose -4*q = q - h. Suppose 187 = 3*t + q. Does 18 divide t?
True
Let c = 31 + 538. Suppose -3*j + c = 98. Does 23 divide j?
False
Suppose -21 - 15 = -2*i. Suppose -3*o + 2*u + 3407 = 1147, 0 = 5*o + 3*u - 3754. Is 12 a factor of (-6)/(-27) + o/i?
False
Suppose 0 = -4*u + 5*j + 11410, -10034 = -3*u + j - 1471. Is 68 a factor of u?
False
Let g(h) = h**3 + 15*h**2 - 26*h - 209. Is g(-8) a multiple of 15?
False
Let l = 7 + -4. Let q(f) = 2*f. Let m(h) = -44*h. Let w(j) = -2*m(j) - 36*q(j). Is w(l) a multiple of 24?
True
Is 8 a factor of (-133 + (-1 - -7))*(1 - 2)?
False
Suppose -55*m + 69*m - 3836 = 0. Is 30 a factor of m?
False
Let i = 0 + 0. Suppose 0 = -i*s + 3*s. Suppose s*g = g - 9. Is 2 a factor of g?
False
Let t(z) = z**2 - 6*z - 5. Let l be t(7). Suppose -4*u - l*w + 140 = 0, 2*u = -2*u + 2*w + 148. Does 18 divide u?
True
Let o be (-636)/(-10) - (-4)/10. Suppose -o = -k - 3*k. Is k a multiple of 10?
False
Suppose -1601 = -10*r + 119. Let a = -112 + r. Does 6 divide a?
True
Let v(o) = 2*o**3 + 10*o**2 - 2*o + 6*o - 1 - o**3. Let x be v(-11).