mber?
True
Suppose 3*c + 232957 = 5*n, 0*n + 3*c - 232933 = -5*n. Is n a composite number?
False
Let g = -1268 + 2409. Suppose -5*o - 436 = -g. Is o composite?
True
Suppose 10722 = 4*h + 662. Is h a prime number?
False
Let w(m) be the third derivative of 0*m + 1/4*m**4 + 0 - 1/6*m**3 + 3*m**2. Is w(2) a prime number?
True
Suppose 3*l + y + 2 = -3, 0 = -l + 3*y + 15. Let d(f) = f**3 + f**2 + 4. Let u be d(l). Suppose -u*x = -2124 - 224. Is x composite?
False
Let l(a) = -6*a**3 + 5*a**2 - 2*a + 6. Let q be l(-5). Let v = 151 + -149. Suppose -4*h - q = -3*s, -3*s + s + 592 = -v*h. Is s composite?
False
Is (-7084 + -5 + -4)/(-1) composite?
True
Is ((-166695)/20)/((-6)/8) a prime number?
True
Let s(v) = 28*v**3 - 11*v**2 + 2*v + 21. Is s(8) a prime number?
True
Is (-24)/(-18)*396918/24 composite?
False
Suppose 4*u - i - 27545 = 6875, 0 = u + 5*i - 8605. Is u prime?
False
Let f(w) = -41*w**3 + 2*w**2 + 4*w + 4. Suppose x + 7 = 2*j + 2*j, -1 = -j. Is f(x) a composite number?
False
Let y = -26 - -11. Let w = y - 102. Let x = w - -176. Is x prime?
True
Let l be 2/(-12) - (-43)/6. Let g = -7 + l. Suppose 4*t - 593 = -x, g*t - 134 = -t - 5*x. Is t a composite number?
False
Let n(x) = 581*x**2 + x + 3. Is n(2) a prime number?
False
Let h(x) = -x**3 + 11*x**2 - 16*x + 18. Let j be h(13). Let o = j - -1045. Is o a prime number?
False
Suppose -3421*n = -3418*n - 21753. Is n prime?
False
Let u = 76453 - 51960. Is u a prime number?
False
Suppose -w - 3 = -4*g + 2*g, 0 = -5*w + 5. Suppose -5*i + 6987 = -d - 6936, i - 2789 = -g*d. Is i composite?
True
Let m(f) = -1 - 7 + 10*f + 1 + 2. Suppose 0*q - 5*x + 5 = 5*q, 2*x + 4 = -q. Is m(q) a composite number?
True
Let u = 2 + 3. Let z be (12/u)/(2/(-130)). Let q = z + 239. Is q a composite number?
False
Let a(b) = 64*b**2 + 46*b + 23. Is a(12) composite?
False
Suppose 8 = 3*x + 2*a, 6*x - 6 = 3*x - 3*a. Suppose 4484 = 4*p + 5*h, h = x*p - h - 4484. Is p composite?
True
Let t(r) = 0*r + r + 8*r + 1 + 5*r. Is t(8) composite?
False
Let h = -1106 + -556. Is h/(-10) - 17/85 a composite number?
True
Is 9 + (-10 - (-189540)/9) a prime number?
True
Suppose -4*y + l = -9, 5*y + 4*l - 3 - 3 = 0. Is -1*(y + 1) + -1 + 723 a composite number?
False
Let u = 22 + -37. Let w(x) = -32*x - 11. Is w(u) composite?
True
Suppose 4*h - 8 = -3*a + 8, 4*h = 16. Is (2 - a) + (-1 - -688) prime?
False
Let f = 2236 - -5445. Is f a composite number?
False
Suppose 18 = -5*g + 4*g. Let v = 6 + g. Is (-2)/((v/(-62))/(-3)) prime?
True
Let b = -58 + 35. Let g = b - -21. Is g/(-15) - (-5203)/15 prime?
True
Suppose -8*k + 152 + 2384 = 0. Let u = k - 184. Is u a composite number?
True
Let m(t) = t**2 + 7*t + 6. Let z be m(-5). Let i(g) = -1103*g**2 - 4*g + 1103*g**2 + 3 - g**3. Is i(z) a prime number?
True
Suppose -3*w - 811 + 16618 = 0. Is w prime?
False
Let j = -275358 + 431599. Is j prime?
True
Let r be ((-3)/2)/(3/6354). Let d = r - -4646. Is d a composite number?
True
Let b(d) be the first derivative of d**3/3 - 3*d**2 - 2*d - 14. Is b(20) prime?
False
Suppose -140 + 630 = -5*a. Let y = 489 + a. Is y a composite number?
True
Let f be -6*(1340/8)/(-5). Suppose 0 = b - 815 + f. Is b a composite number?
True
Let s be ((-772)/(-5))/((-8)/(-20)). Suppose -531 = -u + s. Is u a composite number?
True
Suppose 3*c + 4402 = -986. Let o = c + 2763. Is o prime?
True
Let k(w) = 1394*w + 29. Let a be k(4). Let v = a - 3446. Is v prime?
False
Let k be 44/10 + 2 + 6/(-15). Suppose 0 = -0*m + k*m - 354. Is m a composite number?
False
Let j = -55 + 43. Is (-292)/(-2)*(j - -13) a composite number?
True
Suppose -m = -4*r - 12925, 6*m = 3*m - 3*r + 38835. Is m prime?
True
Let l(f) = 159*f**2 + 10*f - 142. Is l(11) prime?
True
Let o(g) = 1194*g + 20. Is o(3) prime?
False
Suppose -23*i + 2*v = -19*i - 56420, 4*v + 42305 = 3*i. Is i a composite number?
False
Suppose -74 = -2*p - 5*w, 11 = 5*w - 9. Let n = p + 50. Is n composite?
True
Let f be (-2 + 2)/(5 + -2). Suppose f = -2*t + 4*t. Suppose -5*o + 430 = -t*o. Is o composite?
True
Let p(g) = -149*g - 18 - 16*g + 23. Is p(-2) composite?
True
Let n(d) = 4 - 4*d**3 - 6 + 3*d**3 - 2*d**2 + 3*d + 4*d**2. Let b be n(3). Is -2*1*217/b a composite number?
True
Suppose 8*a - 106038 - 17330 = 0. Is a prime?
False
Let b be 2/(-4) + 129/86. Let k(v) = -3*v**3 + v**2 - v + 2. Let s be k(-2). Is b + s + (1 - -1) a composite number?
True
Let n = 8 - 8. Suppose 5*z - z = n. Suppose z*i = i - 371. Is i a prime number?
False
Suppose 2*b - 4*b = -10. Let q(h) be the third derivative of 17*h**4/8 - h**3/3 - h**2 + 8*h. Is q(b) a prime number?
False
Let v be 12*2*(-1)/(-2). Let m be (4 + 0/(-5))/2. Is (4/v)/(m/24) prime?
False
Suppose -p + 12 = 2*d - 1, -3*d = 12. Let a(j) = -26 + 4*j + 40 + 2*j - p. Is a(16) prime?
True
Let u be -3 + (3 - -5 - 1). Suppose 0 = -h + 3*h - u. Suppose h*c + 299 = 5*n, -61 = 2*n - 3*n + c. Is n a prime number?
True
Let f(g) = 45*g**3 + g**2 - 3*g + 15. Is f(4) composite?
True
Let d(t) be the second derivative of 0 + 1/2*t**2 + 4*t - 16*t**3. Is d(-3) prime?
False
Suppose 5*r + 3443 - 19468 = 0. Is r a prime number?
False
Suppose -13*f + 15*f = 10178. Is f a prime number?
False
Let p(g) = -g**2 + 11*g - 20. Let r be p(8). Suppose z = -4*f + 1998, 3*f - r*z + 12 = 1501. Is f a prime number?
True
Let g = 1836 + -786. Suppose -76 - 1998 = -4*s - 5*t, 4*t + g = 2*s. Is s a composite number?
False
Let b(h) = -h**3 - 6*h**2 + 6*h - 10. Let u be b(-7). Let v be (3 + 17)/(u/(-12)). Suppose t + 4*o = o + 98, -3*o - v = -t. Is t a composite number?
False
Suppose -5*g = 10, -16*d + 12*d + g = -53918. Is d prime?
False
Let m(y) = 2929*y**2 - 8*y - 7. Let w be m(-1). Let x = -1813 + w. Is x composite?
False
Suppose -2*o = 10, 3*p - 8*o = -11*o + 42354. Is p composite?
True
Suppose 98 + 262 = 3*h. Let s = h + -85. Is s a prime number?
False
Suppose 5*w - 3*z = 47677, 3 = -2*z - 5. Is w a composite number?
False
Let v(c) = 9*c**3 - 3*c**2 + 7*c + 4. Let i be v(4). Suppose 0 = -11*d - i + 7501. Is d a composite number?
False
Let z(o) = 55*o - 1. Let n(m) = -m + 3. Let j be n(-4). Let c(q) = 3*q - 15. Let r be c(j). Is z(r) a prime number?
False
Let k(t) = 59*t**2 - 292*t - 28. Is k(27) a composite number?
False
Let o(m) = 15*m + 29. Let v(n) = -n. Let w(z) = o(z) + 4*v(z). Is w(15) a composite number?
True
Let f(d) = -27*d - 1. Let z be f(-3). Let i(w) = -w**2 - 8*w - 26. Let j be i(-15). Let l = z - j. Is l a prime number?
True
Let g = -24 + 20. Let n be (3 + 6)*g/(-18). Is (n + 1)*(-23)/(-3) prime?
True
Let k(h) = 21*h**2 + 75*h + 43. Is k(47) prime?
True
Let j(w) = -w**3 + 14*w**2 + w - 14. Let y be j(14). Suppose y = -3*r + 478 + 635. Is r prime?
False
Let l(k) = k**3 + 6*k**2. Let t be l(-6). Suppose t = v + v - 354. Is v composite?
True
Is 1/(412/(-413) + 1) a composite number?
True
Let y(c) = 0 + 22*c**2 + 3 + 7 - 2*c - 7*c. Let z = 6 + -13. Is y(z) prime?
True
Suppose -b - 58 = -7. Is b*(-22)/(-12)*-2 prime?
False
Let k = -1305 + 2444. Is k a prime number?
False
Suppose -1492 = -5*c - 3*v, 0*c - 4*c = -4*v - 1200. Is c prime?
False
Is 1*((-7349)/3)/((-8)/24) composite?
False
Suppose 0 = -5*d - 4*l + 994, -4*d = -0*l + 4*l - 792. Suppose -8*m - d + 3506 = 0. Is m composite?
True
Let z be (-4 - (-3 + -531)) + 1. Suppose -c - z = 5*x, 2*c = -4*x + 3*x - 99. Let b = 111 - x. Is b a composite number?
True
Suppose -4*g = -3*g + 2. Let l be (g + 4)*6/(-4). Let t(n) = 5*n**2 + 3*n + 2. Is t(l) a prime number?
False
Let r(o) = 10*o**2 + 36*o + 223. Is r(20) a prime number?
True
Let n = 31774 + 2109. Is n a prime number?
False
Suppose 3*n + 5*y = 54822, 38345 + 34716 = 4*n - 5*y. Is n prime?
True
Let s = 3731 + 452. Is s a prime number?
False
Suppose -15 = 5*q, 5*n = -2*q + 7*q + 1035. Let h = n - -967. Is h a composite number?
False
Suppose -4*l - 85471 = -4*d - 7275, 3*d + 3*l - 58671 = 0. Is d composite?
False
Suppose -4*z = -2*z + 12. Let o be (1 + 8/z)*-6. Suppose o*k - 652 = -2*k. Is k prime?
True
Let w(k) = -5*k**3 - 8*k**2 - 10*k + 22. Is w(-9) prime?
True
Let y = -129 - 250. Let r = y + 1010. Is r composite?
False
Suppose -8*u = -3*u - 60. Let a be 2/6 - (-1028)/u. Suppose 3*j = 263 - a. Is j composite?
False
Let c = 7 - 13. Is (-412)/c*-6*(-22)/8 a prime number?
False
Let y(i) = -35*i + 12. Let m be y(-5). Suppose -d