1)?
True
Suppose 3*b - 280 = -2*f, 3*f = 4*b + 108 + 346. Does 17 divide f?
False
Suppose 2*h - 6136 = -4*j, 3*h - 941 = -j + 593. Does 13 divide j?
True
Let b(z) = 4*z**2 + 35*z + 81. Is 20 a factor of b(-31)?
True
Let w = -1 - 20. Let p be (-3 + w/(-6))*-6. Is (-1)/(p/1)*30 a multiple of 10?
True
Let n(i) = -7*i + 24. Let v be 1417/(-143) - (-3)/(-33). Does 10 divide n(v)?
False
Suppose c - 16 = 5*c. Suppose 0 = -g + 6*g + 7*g. Is g/c - -35*1 a multiple of 10?
False
Let b be 6 - (0 - 0 - -1). Let w be b/(10/21)*-4. Does 13 divide (1/3)/((-1)/w)?
False
Let i(n) = n**3 + 8*n**2 + 17*n + 12. Is i(-5) even?
True
Let t = -31 - -171. Is t a multiple of 14?
True
Suppose 0 - 6 = -3*a. Let k(x) = 4*x - 55*x**2 + 3*x + 56*x**a. Is 9 a factor of k(-9)?
True
Let b = 199 + -183. Does 16 divide b?
True
Let k(a) = -a**3 + a**2. Let o be k(-3). Let v be (-2)/(-9) - 1808/o. Let t = v - -71. Does 7 divide t?
True
Let n(c) = c**3 - 13*c**2 + 33*c - 39. Does 6 divide n(13)?
True
Let w be (-24)/204 - (-27340)/34. Suppose w = 11*t - 164. Does 8 divide t?
True
Let q(b) = -b + 7. Let x be q(3). Suppose 16 = -x*o, -279 = -5*y - o - 3*o. Suppose -5*s = -4*s - y. Does 20 divide s?
False
Suppose -4*t = -5*t + 9. Let a = 33 - t. Suppose s = a - 3. Does 20 divide s?
False
Let k be 0/((-1)/2*-4). Is 15 a factor of 5/(-4 + -1)*(-139 + k)?
False
Let w(a) = -a**3 - 7*a**2 - 2*a - 11. Let k be w(-7). Is (-148 - (k + -3))*(-9)/12 a multiple of 15?
False
Let j be (-2)/(((-8)/(-26))/(-2)). Suppose d + 9 = j. Suppose 15 = -5*z, d*b + 3*z - 7 = 32. Is b a multiple of 3?
True
Does 16 divide (-864)/(4 + 4)*-4?
True
Let w(a) = 4*a - 11. Let t be w(9). Suppose -3*m + f + 41 = -0*f, 5*f = -t. Suppose 2*g + m = 4*g. Does 4 divide g?
False
Suppose 2*m = -5*k - 17, k - 3*m = 6*k + 13. Suppose -f + 9 = 2*f, 4*s = -3*f + 105. Let i = k + s. Does 6 divide i?
False
Let k(l) = 1. Let b(m) = 3*m**3 + m - 6. Let z(c) = -b(c) - 6*k(c). Let f be z(-1). Suppose -f*w + 16 = -24. Does 10 divide w?
True
Let n = 219 + -99. Suppose 0 = -f + 6*f, 2*h + 4*f = n. Is 7 a factor of h?
False
Let w(q) = 33*q**2 - 3*q - 12. Is w(7) a multiple of 88?
True
Let m be (-2)/(-8) + 526/8. Let u be (-6)/(-4)*2 + 1312/(-32). Let g = m + u. Is g a multiple of 8?
False
Let z = -200 - -398. Does 22 divide z?
True
Let w(g) = -2*g**3 - 18*g**2 + 56*g - 60. Is 35 a factor of w(-16)?
False
Suppose 2*o - 373 = l + 2090, -5*l = 2*o - 2493. Is 89 a factor of o?
False
Suppose -2*o + 1880 = 5*v, -4*v + 36 - 52 = 0. Is o a multiple of 19?
True
Let a(x) = -x**2 - 39*x - 52. Is a(-22) a multiple of 7?
True
Let u be (4/(-5))/(-1 + (-33)/(-35)). Suppose 5*a + 3*h = 15, -2*a + h + 6 = 4*h. Suppose -v = -u - a. Is 17 a factor of v?
True
Let f(k) = k**3 + 23*k**2 - 34. Is f(-7) a multiple of 50?
True
Suppose 2126 = 2*u - 3*k, 5*u - 3*k - 2707 = 2617. Is u a multiple of 16?
False
Suppose 11*l + 1117 = 12*l. Does 9 divide l?
False
Let j(m) = 4*m**2 + 60*m + 12. Is 19 a factor of j(-18)?
True
Suppose -199 = -9*z + 728. Is 4 a factor of z?
False
Let q = 534 - 376. Is q a multiple of 3?
False
Let y = 9 - -51. Is 5 a factor of y?
True
Let r(f) = -f**2 - 7*f + 6. Let h be r(-6). Suppose h = 3*m - 5*m. Is (-7)/(21/m) - -72 a multiple of 15?
False
Let y be (3/3)/1 + -2. Is (y - -2) + -5 + 15 a multiple of 3?
False
Let o = 23 - 31. Is 18 a factor of (5 - 24)/(-1 - o/10)?
False
Let w(u) = -u**3 - 5*u**2 - 6*u - 3. Let k be w(-5). Let j = 39 - k. Does 6 divide j?
True
Let v(b) = 6*b**2 + b + 10. Is v(-6) a multiple of 5?
True
Suppose 73 = 5*v - 17. Suppose -4*f - 2 = -v. Does 15 divide -1*(-15 + -4 + f)?
True
Let b(h) = 2*h**2 - 2*h - 5. Let x be b(3). Let m(g) = -g**2 - 6*g + 1. Let v(y) = -4*y**2 - 18*y + 3. Let d(a) = 7*m(a) - 2*v(a). Is d(x) a multiple of 4?
True
Suppose 330 = 2*w + w. Let j = w - 298. Is 19 a factor of 10/25 + j/(-5)?
True
Suppose 0 = -r - 18 + 22. Suppose 2*d + 2*i - 442 = -50, r*i = 5*d - 989. Is 21 a factor of d?
False
Let o(q) = q**2 + 7*q + 4. Let s be o(-7). Suppose 4*x - 8 = 5*w, 2*x - w = 2*w + s. Suppose 0 = 5*r - 4*r + l - 25, -r = x*l - 30. Does 10 divide r?
True
Suppose -3*f = 2*w - 135, -w + f - 3*f = -65. Let l = w + -48. Is l a multiple of 7?
False
Let x = -3345 - -5343. Is x a multiple of 37?
True
Suppose -x + r - 25 = 0, -5*x + 3*r - 71 - 64 = 0. Let a = x + 28. Does 25 divide (0 - -53) + 0/a?
False
Does 59 divide (-14175)/(-243) - (-2)/3?
True
Let y(z) = z**3 - 20*z**2 + 21*z - 36. Let l be y(19). Suppose l*s + s = -2*q + 276, -3*q + 273 = 3*s. Does 7 divide s?
False
Let y(s) = 1806*s**3 + 5*s**2 - 2*s - 3. Is y(1) a multiple of 42?
True
Let b = -1 + 6. Suppose 5 = -b*t, -2*c + 413 = -7*c - 3*t. Let d = c - -132. Is 13 a factor of d?
False
Let z(m) = -2*m + 16. Suppose -16*w = -12*w - 32. Let h be z(w). Suppose 3*k + h*a - 249 = 3*a, -k + 65 = 5*a. Does 31 divide k?
False
Let q = 293 - 148. Does 5 divide q?
True
Suppose 2*j = -y - 176, 5*j - 11 = 4. Is 4/12 + y/(-3) a multiple of 10?
False
Let g(a) = 16*a**3 - a**2 + 2*a - 1. Let y(l) be the first derivative of -l**3/3 - 3*l**2 + l - 1. Let c be y(-6). Does 6 divide g(c)?
False
Let l = 2 + 3. Suppose 3*o = l*q - 3, 3*o - 5*q = o + 3. Let y(m) = m**3 + 8*m**2 + 2*m + 9. Does 12 divide y(o)?
False
Suppose -1228 = -4*j - s - s, 5*s = 2*j - 626. Suppose j = 4*b + h, -3*b = -8*b + h + 394. Is 11 a factor of b?
False
Suppose -l + 19 = -3. Let z = 25 - l. Does 10 divide (-5)/((4 - z)/(-2))?
True
Let k(t) = 8. Let y(g) = -g + 24. Let x(z) = 8*k(z) - 3*y(z). Let o be x(5). Suppose -2*p + 17 + o = 0. Is 12 a factor of p?
True
Let l = -18 + 23. Let p = l - 8. Is (-1 + -2)*65/p a multiple of 13?
True
Let f(q) = 5*q - 16. Let d be f(5). Is d/(-6) - (-1659)/6 a multiple of 39?
False
Let z(n) = 41*n**2 + 5*n - 4. Is 8 a factor of z(1)?
False
Suppose 311 = l + 5*a, 985 = 3*l - 12*a + 14*a. Is l a multiple of 46?
False
Let l(i) = -i. Let u(q) = -2*q + 4. Let b(n) = -4*l(n) + u(n). Is b(9) a multiple of 22?
True
Let r(c) = -4*c**2 - 10*c - 9. Let n be r(-6). Let g = n - -138. Suppose 3*m - x - 181 = -2*m, g = m + 2*x. Is m a multiple of 11?
False
Let z(j) = j**3 + 2*j**2 - 2*j + 3. Let x be z(-3). Suppose 13 = 4*f - 5*w, x*w + 2*w = -10. Does 14 divide f + 68*1 + -1?
False
Let d be 2/(-10) - (-3)/15. Let o(x) = -x**3 + 10. Let n be o(d). Suppose 0*q - n = -q. Is q a multiple of 5?
True
Let i(r) = -r - 10. Let d be i(-12). Suppose -d*u - 24 = -8*u. Is 3 a factor of u?
False
Suppose -3*y + 6*y = 192. Suppose -3*w = -y + 4. Does 5 divide 290/w + 1/2?
True
Suppose 0 = -6*k + 7*k + 1. Let h be ((-2)/2)/(k/(-6)). Does 8 divide (-3 + -1)*(4 + h)?
True
Let q(t) = -t**2 - 10*t + 3. Is 4 a factor of q(-5)?
True
Let d(v) = 4*v**3 - 9*v**2 + 8*v - 2. Let g(s) = -s**3 + s**2 - s. Let t(i) = d(i) + 5*g(i). Suppose -3*n - 20 = c, -3*c + 4 = -2*n - 2. Does 13 divide t(n)?
True
Suppose -6*t + t + 5 = 0, 2*c = 2*t + 26. Is 13 a factor of 4/(-7) - (-918)/c?
True
Let f(s) be the third derivative of 2*s**5/15 - 5*s**4/24 + s**3/3 + 9*s**2. Is f(3) a multiple of 5?
False
Let b(x) = -10 - 3 + 3 - 3*x. Let i(c) = 28*c + 15. Let m be i(-1). Is 22 a factor of b(m)?
False
Let s = 142 + -64. Let n be -7 + 1 + 3 + s. Suppose -g - n = -4*g - 4*i, -25 = -g - 5*i. Is 5 a factor of g?
True
Suppose 3444 - 908 = 8*a. Suppose -2*l = v - 62, -5*v + 0*v - 3*l + a = 0. Does 9 divide v?
False
Suppose 11 - 23 = -3*b. Suppose b*w = 4*m + 264, -m = -2*w - 0*m + 132. Suppose a - 57 = -3*v, 2*a - 48 = 4*v + w. Is 19 a factor of a?
True
Suppose -3*w + 3*k = -6*w + 3066, -5*w + k + 5110 = 0. Is w a multiple of 14?
True
Suppose -2*j + 7 = 1. Suppose -j*a - 5*b = -4*b - 105, -4*b = 4*a - 132. Does 4 divide a?
True
Suppose 0 = 4*q - 12 + 44. Does 19 divide 2*((-764)/q + 4)?
False
Suppose 0 = -5*d - 0 - 30. Does 33 divide (198/d)/(-2 - (-15)/9)?
True
Let d(v) = v**3 + 13*v**2 - 14*v - 45. Is 5 a factor of d(-9)?
True
Does 22 divide (-67 + 0)*-1*(24 - 21)?
False
Let k(q) = -q + 10. Let o be k(8). Suppose 49 = 2*r - 3. Suppose -5*x - 3*l = -l - 65, o*x - r = l. Is 10 a factor of x?
False
Suppose -4*j + 5*o = -27, -j - o - 9 = -3*j. Suppose 3*d - 5*r - 42 = 9, -j*r = 9. Suppose -3*v + 4*v + 4*u - d = 0, 4*u = 0. Is v a multiple of 3?
True
Let c(s) = 21*s + 2 - 3*s + 3 - 3. Let b = 25 - 24. Does 20 divide c(b)?
True
Let s be 12/