
Suppose -3*v + 4*u = 4886 - 14608, 2*u = v - 3242. Is v prime?
False
Is 81/189 + (-4628)/(-14) a composite number?
False
Suppose -10332 = -5*h - 4*h. Suppose -3*g = -4*d + 4607, -2*g = -d - 5*g + h. Is d prime?
True
Is 6/(-2) - (-110726)/11 prime?
False
Suppose -15042 = -h - 2*s + 6669, 5*s = 20. Is h a composite number?
True
Let t(k) = 3*k**2 - 9*k - 31. Let r be t(-4). Let m(w) = w**3 + w - 31. Let s be m(0). Let o = r + s. Is o prime?
False
Let k = -30106 + 57435. Is k a prime number?
True
Let h(q) = q. Let o be h(5). Suppose o*d - 5081 = 4824. Is d composite?
True
Let b = -16 + 16. Suppose b*y - 1498 = -2*v + 2*y, 3*y = 5*v - 3737. Is v composite?
True
Let z(d) = 3186*d**2 + 15*d - 47. Is z(4) composite?
False
Let l(m) be the first derivative of m**4/4 + 20*m**3/3 + 13*m**2/2 - 15*m + 1. Is l(-17) a prime number?
True
Let i(n) = -509*n + 10. Let q(y) = -255*y + 5. Let h(r) = -4*i(r) + 7*q(r). Is h(2) prime?
False
Let y(b) = 464*b**2 - 73*b - 11. Is y(10) prime?
True
Let w = 7617 + -2098. Is w composite?
False
Is 3/2 - (-1171160)/16 composite?
True
Let g = 7 - 3. Let b(n) = 14 - n**2 - 4*n + n - 4 - g*n. Is b(-7) prime?
False
Let a be -1*(0 + 2 + -1). Let w be -3 - (a - (0 + -78)). Let h = 61 - w. Is h a composite number?
True
Let k = -29 + 37. Let x(p) = p + 1. Let s be x(k). Is 1194/s*18/12 a prime number?
True
Suppose 129431 = 30*n - 107539. Is n a prime number?
False
Let y(t) = 81*t - 4. Let x(w) = -973*w + 49. Let c(g) = 3*x(g) + 35*y(g). Is c(-3) a prime number?
False
Suppose 0*o = -5*j - o + 1190, 0 = -2*j - 4*o + 494. Let c = 94 + j. Is c a composite number?
False
Suppose -2*u + 3556 = -6732. Suppose 5*o - 5535 = 5*f, -3*o - 3*f + u - 1835 = 0. Let c = -274 + o. Is c composite?
True
Suppose -2*d = r + 107, 2*d - r - 4*r + 77 = 0. Let t be (d/2)/(3/(-8)). Let a = t + 9. Is a composite?
True
Suppose 17*g = -2897 + 39634. Is g a prime number?
True
Suppose z - 34 = 1. Let d be 9898/z + (-2)/(-10). Suppose 4*x - 1072 = -m + 5*m, -4*m = -x + d. Is x prime?
True
Let v(t) = t + 0*t + 2*t**3 + 16 - 18 - 6*t**2. Let x be v(5). Let b = x + 528. Is b prime?
True
Suppose -14254 = -4*f - 3*q + 15721, 3*q + 29969 = 4*f. Is f a prime number?
False
Let l(u) be the first derivative of u**6/360 + u**5/30 + u**4/8 - 2*u**3/3 - 5. Let y(s) be the third derivative of l(s). Is y(-8) composite?
True
Let g be 1485/20 + (-6)/(-8). Is (-5)/(g/(-2238)) + (-2)/10 a prime number?
True
Suppose -5*v - 4*m = -337 - 248442, 49771 = v - 3*m. Is v composite?
True
Let m(p) be the third derivative of p**5/12 - 7*p**4/24 + p**3/2 + 10*p**2. Let d = -17 - -23. Is m(d) a composite number?
True
Let b be (1 - (-9)/(-15))*(-13 - -23). Let o be -1 - -141 - 4/2. Suppose b*z - o = 178. Is z composite?
False
Suppose -19*a + l = -15*a - 18672, -4*l + 23319 = 5*a. Is a a prime number?
False
Suppose -19*l = -10*l - 5715. Is l a prime number?
False
Suppose 0 = -4*z + 132 - 20. Suppose 0 = r - 421 + z. Is r prime?
False
Let j be (1 + 0)*-33*2. Let k = -35 - -230. Let v = j + k. Is v a composite number?
True
Suppose -4*s + 8 = 0, -4*s - 85950 = -4*w + 2*w. Is w prime?
True
Let u = 106 + 2073. Is u a prime number?
True
Suppose 3*j - 12 = -0*j. Suppose -j*x - 7 = -3. Is (-3 + 7)*x + 81 composite?
True
Let s = 12 - 28. Let k = 20 + s. Suppose 0 = k*h + 2*f - 2342, 2*h - f = 498 + 679. Is h composite?
False
Let y be 8026 - (0 + (4 - 0)). Let f = 11669 - y. Is f a composite number?
True
Let c(n) = -n**3 + 7*n**2 - 9*n + 15. Let a be c(6). Is a/9*-419*3 composite?
False
Let m = 5450 + 1893. Is m composite?
True
Let f = 138 - 136. Suppose -f*p = -5*l + 1073 + 112, 2*l = -3*p + 455. Is l prime?
False
Let b(z) = 19*z**2 + 2*z + 2. Let d be (-1 + -1)/6*-33. Suppose 2*h + 1 - d = 0. Is b(h) a composite number?
False
Let u be 6/4 - 5/(-2). Suppose -u*g + 1096 = -2172. Is g a composite number?
True
Suppose -1221 = -4*f - 37. Is (-5)/5 + -2 + f prime?
True
Let c(o) = -1 + 2 + 3*o**2 - 8*o - 4. Let i = 46 + -54. Is c(i) a prime number?
False
Let q(g) = 3*g**2 - 2*g + 7. Let j(l) = -l**2 + l - 3. Let i(b) = 5*j(b) + 3*q(b). Let o be (-26)/(-8) + 6/(-24). Is i(o) a prime number?
False
Let n(m) = 90*m**3 - 4*m**2 + 3*m + 4. Let t be n(2). Let w = t + -475. Is w a prime number?
True
Let q = -143 - -277. Let h = q - -427. Suppose -2*s - 3*s - 5*y = -2730, h = s + 4*y. Is s prime?
True
Let o(i) = 2*i**3 + 25*i**2 + 17*i + 29. Is o(15) composite?
False
Suppose 3*h - 1224 = -4*s - 221, -1268 = -5*s + h. Let x = 402 - s. Suppose -3*f = -4*f + x. Is f composite?
False
Let f be ((-4)/(-2))/(12/30). Let r(a) = 13*a**2 - 7*a + 21. Is r(f) a composite number?
False
Suppose -380902 = -3*b + n, 0 = 11*b - 16*b + 3*n + 634830. Is b composite?
True
Suppose 688631 = 29*g + 170314. Is g a composite number?
True
Is 3 + 205023/119 + 6/51 a prime number?
False
Let u = 19 + -14. Suppose -4*a - 995 = -u*i, 0*i + i - 199 = a. Is i composite?
False
Suppose 3*z = 4*b + 16994 + 8521, -5*z + 42542 = -b. Is z prime?
False
Suppose 3*s + 5*a - 11866 = 0, -s + a + 1323 + 2619 = 0. Is s a composite number?
False
Suppose -19*v + 15*v = -3156. Suppose -3*h + o + 2282 = -4*o, h = -4*o + v. Is h a composite number?
False
Suppose -n = 5*l - 0*n - 8, 5*n = -3*l - 4. Let c be l/(-4)*4/(-1). Suppose 265 = c*t + 3*t. Is t a composite number?
False
Let d be (-2)/4 + 5 + (-45)/10. Suppose f + d*i - 2*i = 193, 0 = -3*f - 4*i + 539. Is f a prime number?
False
Let x be 6/(-21) - (-51)/7. Let i(v) = 2*v**3 - 5*v**2 + 15*v - 5. Is i(x) a prime number?
True
Let p be (65/15 - 3)*3. Suppose -5*j = d - 1264, 5*j - 1267 = p*d - 2*d. Is j prime?
False
Let z = -6 - 0. Suppose -424 = -2*y - 2*y. Is (y/z)/(2/(-6)) composite?
False
Suppose 110*k = 44265 + 24925. Is k a composite number?
True
Is -18 - -17728 - (-6)/(-2) a prime number?
True
Let d(c) = 14*c**3 + 5*c**2 - 19*c - 13. Is d(6) a prime number?
False
Suppose -2*s + 11 = 1. Suppose 3*y - 6*y + 106 = 5*u, -s*y - 4*u + 181 = 0. Is y prime?
True
Let g(j) be the second derivative of 11*j**5/60 + j**4/6 - j**3/6 + 5*j**2/2 - 8*j. Let n(d) be the first derivative of g(d). Is n(4) prime?
True
Suppose 4*q - 4*m = -13680, 4*m = -5*q - 0*q - 17055. Let x = -2220 - q. Is x a composite number?
True
Suppose -3*a + u + 4*u = -21, 2*u + 6 = 0. Suppose 0 = -l, -a*s + l - 343 - 1895 = 0. Is s/(-21) + (-4)/14 a prime number?
True
Suppose -v + 4*c + 0*c + 1435 = 0, -2*c + 2840 = 2*v. Is v prime?
True
Let j(s) = 2*s**3 - 4*s**2 + 5*s - 62. Suppose 45 = 65*n - 60*n. Is j(n) composite?
False
Suppose -w - 3 = 0, 4*w - 4 = 4*p - 8. Is ((-46)/(-5))/((p/(-5))/2) prime?
False
Let x(u) = -u**3 - 15*u**2 + 6*u + 17. Let g(r) = r**3 + 7*r**2 - 3*r - 8. Let z(y) = 9*g(y) + 4*x(y). Is z(3) a prime number?
True
Let r(y) = 1831*y**3 + 10*y**2 + 3*y - 13. Is r(3) prime?
True
Let q be -3*(-2)/6*4. Suppose 0 = q*w + w - 2*x + 116, -30 = w + 3*x. Is 4/(-6) + (-9832)/w a composite number?
False
Suppose j + 55296 = 98*f - 94*f, -41489 = -3*f + 5*j. Is f prime?
False
Is 74/(0/2 - (-60)/1770) prime?
False
Let m be ((-18)/72)/(2*(-1)/49832). Let w = 8934 - m. Is w a prime number?
False
Let z(q) = 22*q**2 - 21*q - 17. Is z(-10) composite?
False
Suppose -146*u + 131*u = -173835. Is u a composite number?
True
Suppose 0 = 11*v - 5648 - 4329. Is v prime?
True
Suppose 4*t = p - 746, p - 2*t = -0*t + 738. Let q = 1169 - p. Is q prime?
True
Suppose 11*q - 4623 = 2824. Is q a composite number?
False
Suppose -5*o + 7*o - 4*y = 23718, 5*o - 59267 = 3*y. Is o composite?
True
Let x(q) = 9*q. Let d(b) = 17*b + 1. Let l(y) = -4*d(y) + 7*x(y). Let p be 2/(-7) + (-120)/21. Is l(p) a prime number?
False
Suppose 8*t - 100006 = 54306. Is t composite?
False
Let w(t) = 3420*t**2 + 23*t - 6. Is w(-5) prime?
False
Let p(h) = h**3 - 6*h**2 + 14*h + 29. Let c = -37 + 49. Is p(c) prime?
True
Let v(c) = c - 8. Let p = 17 - 9. Let o be v(p). Suppose o = -s - 0*s + 223. Is s a composite number?
False
Let m(h) = -14*h**3 + 7*h**2 + 6*h + 1. Let t(i) = -13*i**3 + 6*i**2 + 5*i + 1. Let z(x) = 4*m(x) - 5*t(x). Is z(5) prime?
True
Is (-2)/(-4) + 45423/42 prime?
False
Suppose -y + 316 = -887. Let j = y - 752. Is j prime?
False
Suppose 3*m - 18051 = -3*t, -3*t + m + 2385 = -15686. Is t a prime number?
False
Suppose v + 12 = 6*v - 2*h, 0 = h + 1. Suppose -3*f - v*f = -285. Su