
Is ((-52940)/(-60))/(2/6) a composite number?
False
Suppose 0*y - 3490 = -5*y. Suppose 4*s = p - 4*p + y, 2*p - 3*s - 437 = 0. Is p prime?
False
Suppose -t - 2*f + 12 = -f, -f = -5. Suppose 7590 = t*m + 2389. Is m a prime number?
True
Let q(g) = 1270*g**3 - 127*g**2 + 5*g + 5. Is q(4) a composite number?
False
Suppose -1 - 3 = 2*f - 4*n, 4*f + 3*n - 14 = 0. Let h(j) = 123*j**3 - 2*j**2 + 8*j - 9. Is h(f) prime?
True
Let k(t) = -t**3 + 7*t**2 - 173. Let j(p) = 2*p**3 - 13*p**2 + 345. Let i(x) = 6*j(x) + 11*k(x). Is i(0) prime?
True
Let k(h) = -3*h**3 + 2*h**2 + 9*h + 3. Let y(t) = -t**3 + t**2 + 3*t + 1. Let d(x) = -3*k(x) + 8*y(x). Is d(4) a prime number?
True
Let l be (-8)/40 + (-84)/5. Is 61/2 + l/(-34) a composite number?
False
Let o(n) = 48*n**2 + 13*n - 72. Is o(-17) prime?
False
Let r(o) = o**2 - o + 69. Let m be r(0). Suppose 0 = -6*y + 117 + m. Is y composite?
False
Suppose 16941 = -12*i + 15*i. Is i a composite number?
False
Suppose 4*w - 30242 = 2*h, -2*w + 5*h = -1400 - 13733. Is w a prime number?
True
Suppose 2*n = x - 12, 4*n + 20 = -0*n. Suppose -2*q + 129 = 3*k, -129 = -5*k + x*k + 3*q. Is k a composite number?
False
Let j be 1748/(-6) + (-3)/(-9). Let b = 93 + -221. Let f = b - j. Is f a prime number?
True
Suppose 0 = 3*r - 4*r. Suppose r = -2*a + 2 + 6. Suppose d = -a*d + 3*p + 121, -5*d = 5*p - 105. Is d a composite number?
False
Suppose -2*m - 196547 = -5*w, 4*m + 6 = 22. Is w prime?
False
Suppose -s - 5 + 3 = 0. Let c be s/6 + 97/3. Let f = c - 13. Is f prime?
True
Let z(v) = 8*v**2 + 12*v - 25. Let h(c) = 6*c - 8*c + c + 21. Let r be h(13). Is z(r) composite?
True
Let j be ((-5)/(-25))/(3/(-15)). Let w(r) = -268*r - 1. Is w(j) composite?
True
Let o be 5 + 1 + -2 + -2. Suppose p - 353 = -5*m, 2*p + o = 8. Suppose 2*u - 4*a - m = 0, 5*u - u - 4*a = 136. Is u prime?
False
Let q(s) = 4 + 0 + 1 + 108*s + 0. Is q(9) a composite number?
False
Let a(f) be the first derivative of 607*f**2/2 + 2*f + 4. Let b be a(-5). Is ((-2)/(-3))/((-6)/b) prime?
True
Suppose -110*r = -107*r - 11811. Is r composite?
True
Suppose 23*v - 102403 - 224128 = 0. Is v a prime number?
True
Is 10 + 7031 + 9 + -7 prime?
True
Let j(s) = s**3 - 2*s**2 - 2*s + 7. Suppose 4*n + 4*u + 80 = 0, -3*n + 0*u - 25 = -4*u. Let t = 21 + n. Is j(t) prime?
True
Let h be -1*(0 - 1) + 1. Is 0 + h - (-11 - 280) composite?
False
Let p(w) = 677*w**2 + 15*w - 1. Is p(-4) a prime number?
True
Suppose 3*j + 5*d - 126329 = 0, -j - d + 3133 + 38974 = 0. Is j composite?
True
Suppose 0 = 28*w - 321479 - 401453. Is w a composite number?
False
Suppose 4*f + 1478 = 27122. Is f composite?
True
Let b = 67 - -11130. Is b composite?
False
Is (-1 - 0)/((14 - -1)/(-2414505)) a composite number?
False
Let z = -54 + 56. Suppose -8*t + z*t = -6366. Is t composite?
False
Suppose 19*y + 364 = 17*y. Let u = -91 - y. Is u composite?
True
Let s = 854 - 796. Is s composite?
True
Let c = -64 - -146. Let o = 9 - 5. Suppose 3*n = o*d + 179 - 61, 5*d - c = -3*n. Is n a prime number?
False
Let q(w) = 116*w**2 - 1. Let u = -3 - -14. Let f(s) = 2*s - 21. Let d be f(u). Is q(d) composite?
True
Suppose 105 + 23752 = c. Is c a composite number?
False
Let i be (-1 - 1) + (-1122)/(-11). Let q = 253 - i. Suppose k = -2*k + q. Is k composite?
True
Let l = 3017 + 15346. Is l prime?
False
Let j = -1 + -3. Is 6/15 + j/((-100)/40915) composite?
False
Is (-56698)/(-10) - (-7)/(245/(-28)) prime?
True
Let x = 4 - 4. Suppose 4*g - 3*d - 47 = x, 3*g - 45 = -3*d + 6. Is 2584/g + 3/7 composite?
True
Let c(h) = 3*h**2 + 123*h - 63*h - 56*h + 19. Is c(-8) a composite number?
False
Is 80686*(4 - 56/16) prime?
True
Let h = -4000 + 11411. Is h a composite number?
False
Suppose -2*u - 1 = -u. Is -2 + u + 1 + 1903 prime?
True
Suppose -d + 14 = 11. Suppose -4*c + h + 2539 = 0, d*h + 0*h - 3 = 0. Is c composite?
True
Let o = -368 - -855. Is o a composite number?
False
Let f(c) = 15*c**2 + 13*c - 21. Let u(h) = 7*h**2 + 6*h - 10. Let g(v) = -3*f(v) + 7*u(v). Is g(-6) composite?
True
Let r be (-19)/(-7) - 4/(-14). Is 1 + 182 + 1 + r a composite number?
True
Let w = 148796 + -37783. Is w prime?
False
Suppose l - 8 = -9. Is l + 0 + (111 - 13) a composite number?
False
Let i(n) = 2*n**2 + n + 985. Is i(0) a composite number?
True
Suppose 17 = 3*b - 3*x + x, -2*b + 7 = 3*x. Suppose -c + 5*c - 729 = -s, 0 = -4*s - b*c + 2927. Is s a prime number?
True
Suppose -3*x + 610 = -x - a, -3*x + 3*a + 909 = 0. Suppose x = -2*h + 3*n + 5483, 2*h = -5*n + 5192. Is h a composite number?
False
Suppose 4*z - 3*j - 17 = 5*z, 11 = -3*z - j. Let q(i) = 311*i**2 + 4*i + 7. Is q(z) composite?
True
Let n = -84 + 73. Let l(g) = -g**3 - 5*g**2 - 23*g. Is l(n) a composite number?
True
Let c(j) = 3*j**2 - 12*j - 31. Let l be c(-10). Let x = l + 488. Is x a prime number?
True
Let v = 40731 - 27890. Is v a prime number?
True
Let c(w) = -140*w - 85. Let y(b) = -141*b - 87. Let r(a) = -7*c(a) + 6*y(a). Is r(14) a composite number?
False
Let s(n) = -3407*n - 11. Is s(-2) composite?
False
Suppose r = 5 + 1. Let p be -163 + (-2)/(-4)*r. Is p/(-3) + 1/(-3) composite?
False
Let x be 1/(4/(40/2)). Suppose -1157 = -x*c + 1488. Is 4*(3 + c/4) prime?
True
Let v = -12 - 113. Suppose 3*a + 90 = 378. Let i = a - v. Is i composite?
True
Let n(t) = 13*t**2 - 47*t + 177. Is n(-41) prime?
True
Suppose -6*q + 7253 = -2*q + 3*m, -q - 5*m + 1792 = 0. Is q a prime number?
False
Let q be -102*((-201)/(-2))/(-3). Suppose -c = 2*c - q. Is c prime?
False
Let w(r) = 15*r + 2. Let p = -5 - -8. Let o(u) = -u + 1. Let x(f) = p*o(f) + w(f). Is x(12) composite?
False
Is (1/1)/(10 + 92574/(-9258)) prime?
True
Let l(t) = 29*t**3 - 7*t**2 + t + 31. Let r be l(5). Suppose -5*d = -4*a - 8703, -2*d + 0*a + 4*a = -r. Is d a prime number?
False
Suppose 6*u = -10108 + 80842. Is u a composite number?
False
Let n(v) = 49*v**2 + 6*v - 38. Is n(5) a prime number?
True
Is (5 - 8 - -18332)*1 a prime number?
True
Is (-20746)/(-50) - 6/(-75) a prime number?
False
Let c(t) = 3*t + 37. Let x(n) = 1. Let h(l) = c(l) - 2*x(l). Is h(16) a prime number?
True
Let x(y) = -4*y**2 + 6*y - 18. Let u be x(8). Let h = u + 395. Is h composite?
True
Let k(j) = 37*j**3 - j**2 - 2*j - 1. Suppose -3*n - 16 = -7*n. Suppose 5*m - 3*r = -n*r + 13, -8 = 2*m - 4*r. Is k(m) a composite number?
True
Let m(p) = -6*p**3 + p**2 + 2*p + 2. Let r be m(3). Let d = 239 + r. Is d prime?
False
Suppose -8031 = -3*k + 585. Suppose -8*g = -0*g - k. Is g composite?
False
Let i(q) = q - 1. Let j be i(3). Suppose -j*r - 3*r = 0. Suppose a - 37 = -r*a. Is a a prime number?
True
Let m(g) = 12*g + 18. Let w(r) = 6*r + 9. Let t(o) = 2*m(o) - 5*w(o). Let x be t(-14). Let q = x + 28. Is q prime?
True
Let r = 14844 + 2939. Is r prime?
True
Suppose 5*r - 10*r + 4*k + 13413 = 0, -2*r = -3*k - 5368. Is r composite?
True
Let g = 1782 + -409. Suppose 4*v - g = -3*d + 8*d, 3*v + 5*d = 986. Is v a prime number?
True
Suppose 5 = -2*u - 5*o, u + 4*o = -0*o + 2. Is (4 - (-156)/(-8))*u prime?
False
Let r = 1186 + 13665. Is r composite?
False
Suppose -3*l - 2*c + 22701 = 2*c, -12 = 4*c. Is l composite?
True
Let w be (-5)/2*8/10. Let b be 0/w*(-3)/(-6). Suppose b = -4*h + 6 - 26, 5*h + 141 = 2*l. Is l composite?
True
Suppose g - 6*g + 60 = l, -4*g = 5*l - 342. Let y be (50/(-3))/(2/9). Let w = l - y. Is w prime?
False
Suppose 4*s + 3*p = 2056, 16*s + 2*p = 21*s - 2570. Is s composite?
True
Let q = 92 + -87. Suppose -3*x = 2*g + 10 - 1146, -q*x - 2865 = -5*g. Is g a prime number?
True
Let a be (-569)/((4/(-20))/(2/(-5))). Let y = 2523 + a. Is y a prime number?
False
Let v = 46648 + -22451. Is v a composite number?
False
Let m(g) = g - 2. Let r be m(6). Is (-23 + 2 + 1)*(-127)/r composite?
True
Suppose 2*q = -3 + 7. Suppose 2*c = q + 8. Suppose -902 - 143 = -c*w. Is w a prime number?
False
Suppose -4*d + 1449 = -359. Let a = 1 - -3. Suppose a*g + 0*g = d. Is g composite?
False
Let b = -226 + 107. Let i be (20/2)/((-2)/b). Suppose 0 = -o - 4*o + i. Is o prime?
False
Suppose 324 = -0*i - i. Let x = 61 + i. Let n = -40 - x. Is n a composite number?
False
Suppose 20 = -5*m - 0*m, -3*m = -5*a + 19697. Is a prime?
False
Let w = 7146 - -5327. Is w prime?
True
Let l be (403 - -5) + (-4)/2. Suppose -5*i = w - 159, 5*w - l - 333 = 3*i. Is w a composite number?
False
Let c(t) = t*