- 8. Suppose 2*v + 63 = t*v - 2*f, -181 = -3*v + 2*f. Is v a composite number?
False
Let k(f) = -82*f**3 - 2*f - 1. Let i(s) = -s**3 - 6*s**2 - 4*s + 4. Let g be i(-5). Is k(g) a prime number?
True
Let d = -8 + 15. Let t(h) = h - 7. Let a be t(d). Suppose a*r - r = -26. Is r a composite number?
True
Suppose -2*w = 4*w + 1200. Let q = 281 - -42. Let z = w + q. Is z a composite number?
True
Let t(x) = 5 + x**2 + 9*x**3 - 4*x - x**2 - 8*x**3. Is t(4) a composite number?
False
Let f(x) = x + 12. Let h be f(-5). Let t = 9 - h. Suppose 20 = t*y - 86. Is y a prime number?
True
Let g(n) = 63*n. Let x be g(-2). Let m = x - -74. Let c = 117 + m. Is c a composite number?
True
Let c = 1402 - 693. Is c composite?
False
Let x(n) = 86*n**2 + 24*n + 0 - 24*n + 1. Is x(1) prime?
False
Let v(o) = 25*o**2 + 3*o + 9. Is v(5) a composite number?
True
Suppose 4*m + 16 = 0, 0 = 5*d - 3*m + m - 28. Suppose d*x + 4*p = 2608, -5*x + 5*p + 1334 = -1876. Is x prime?
True
Let q(k) = k**2 + 10. Let t(v) = -5*v - 3. Let i be t(-2). Let z be 2/i + (-4)/14. Is q(z) composite?
True
Let s(b) = -1051*b + 5. Let i(q) = 350*q - 2. Let z(g) = 8*i(g) + 3*s(g). Let v be z(-1). Suppose 2*r - 218 = -2*j + 6*r, 3*j - r - v = 0. Is j a prime number?
False
Suppose 4*y - 4*n = -3*n + 108, 0 = 2*y - 3*n - 44. Suppose -587 - y = -5*a. Is a a prime number?
False
Let s(q) = 5*q - 5. Let k be s(5). Suppose 0 = x + 4*x - k. Suppose 3*b = 2*c + 225, 0 = -3*b + 5*c - x*c + 228. Is b prime?
False
Let m(i) = 2*i**2 - 1. Suppose 2*u = 7 - 3. Suppose 4*v + 3*q + 0*q = 5, u*v = 4*q + 8. Is m(v) composite?
False
Suppose 3*m + 19 - 115 = 0. Suppose m = -3*u + 2*q + 3*q, 5*u - q = -24. Is (261/(-12))/(1/u) composite?
True
Suppose 0 = 6*u - 3*u. Suppose -2*f + 8 + 2 = u. Suppose -5*v = -f*z - 310, 0*z - z = 4*v - 233. Is v a composite number?
False
Let c(o) = 29*o**2 - o - 7. Is c(-6) composite?
True
Let t(l) be the first derivative of 2*l**3/3 + l**2 + 3*l - 6. Suppose 5*i + 9 + 11 = -n, 0 = -3*n - 3*i - 24. Is t(n) a prime number?
True
Is ((-148)/(-2))/(7/((-161)/(-2))) composite?
True
Suppose -2*q + 3*q - 21 = -f, 21 = q - 3*f. Is q a composite number?
True
Let a(f) = f**3 - 12*f**2 + 4. Let r be a(12). Suppose x - r*d + 6*d = 6, -2*x + 5*d = 33. Let n(q) = 3*q**2 + 3*q + 3. Is n(x) a composite number?
True
Suppose 3*s - 15 = -0*s. Suppose 3*f + 19 + 1 = 2*v, 5*v = -s*f. Suppose 0*m - 652 = -v*m. Is m a composite number?
False
Suppose -v - v = -14. Suppose 540 = 5*b + 2*n - v*n, -2*n + 505 = 5*b. Let u = b + -72. Is u prime?
True
Suppose 4*u - 3*s - 252 = 0, -2*s - 124 = -u - u. Suppose 4*b + 5*v - u = 0, -4*b + v + 72 + 6 = 0. Is b prime?
True
Let r = 147 + -75. Suppose -2*w + 314 = r. Is w composite?
True
Suppose 0 = -7*x - 2340 + 13253. Is x prime?
True
Suppose -v + 0*u - 2*u = -102, 5*u = -v + 111. Let b = 57 - v. Let a = 70 + b. Is a a composite number?
False
Suppose 4*c = 5*i - 30, 3*i + 4*c + 9 = -5. Let z(k) = -i*k - k**2 - 6*k + 3 - 5. Is z(-6) a prime number?
False
Let k be 9/3 + 0 + -1. Let b be ((-24)/9)/(k/(-3)). Suppose b*z - 89 = 3*z. Is z a prime number?
True
Suppose -9*c - 1330 = -19*c. Is c composite?
True
Suppose -3*q - 5601 = -8*q - 4*j, 2*j + 2226 = 2*q. Is q a composite number?
False
Suppose -2*i = i - 261. Is i prime?
False
Let c = -4 + 4. Suppose c = -2*l + 836 - 322. Is l prime?
True
Let g(p) = 20*p + 12. Let c be g(-5). Let f = -64 + 13. Let y = f - c. Is y composite?
False
Let o = 46 + 518. Suppose -3*q - 1 - 2 = 0, -3*v + 3*q + o = 0. Is v a composite number?
True
Suppose -j = 5*s - 383, -701 - 496 = -3*j - 3*s. Is j composite?
True
Let g(t) = -5*t**3 - 5*t**2 + 6*t + 3. Let r(x) = -9*x**3 - 10*x**2 + 11*x + 7. Let n(h) = -7*g(h) + 4*r(h). Let d = 6 + -12. Is n(d) prime?
True
Let r(j) = -2*j**2 + 6*j + 16. Let p be r(-7). Is (7/4)/((-1)/p) a prime number?
False
Let u(w) = 9*w**2 + 2*w - 9. Let b be u(-5). Suppose 2*f = 1020 - b. Is f composite?
True
Is (-6)/(-3)*57/2 composite?
True
Let k be 51*(4/(-6))/(-2). Let s = k + 2. Is s prime?
True
Suppose -28 = -4*x - 4*m, 0 = 3*m - 5 - 10. Suppose -k = -x*k + 96. Suppose -k = -4*y + 56. Is y composite?
True
Suppose -8*t + 4*t = -1916. Suppose -3*h = -5*j + 478, 5*j = 2*h + 2*h + t. Is j composite?
True
Is (22/2)/(-4*(-5)/740) a composite number?
True
Let g(w) = 43*w - 6. Let j(u) = -42*u + 7. Let c(a) = -7*g(a) - 6*j(a). Is c(-1) prime?
False
Suppose 4 = -i - 0*i, 0 = 3*u - 5*i - 779. Is u a composite number?
True
Is (-127)/2*(3 + -9) a prime number?
False
Let k(h) = -9 - 2*h**2 + 2*h**2 - 11*h + 0*h - h**2. Is k(-7) a prime number?
True
Suppose -o - 2*n + 141 = 0, 4*o - 514 = n + n. Suppose -2*w + w = -o. Is w a prime number?
True
Suppose 0*w = w - 293. Is w prime?
True
Suppose -3*l + 3*c = -6849, -3*l + 2*c = -2888 - 3963. Is l prime?
False
Let u(p) = p**2 - p + 1. Let x = -5 + 8. Let v be u(x). Let d(j) = -j + 14. Is d(v) a prime number?
True
Let v be 34*(-1 + (-14)/(-4)). Let p be 70/25*1*v. Suppose p + 27 = 5*m. Is m prime?
True
Let b(j) = j**3 + 5*j**2 - 3*j - 5. Suppose -3*a - 2*a = 5*f + 5, -2*f + 6 = 0. Is b(a) prime?
True
Suppose -23 + 85 = 2*x. Is x prime?
True
Let k = 578 - 231. Is k a prime number?
True
Let g be -1 + 6 + 1 + -4. Suppose 3*j - 195 = -g*j. Is j prime?
False
Suppose 5 = -4*m - 4*h - 7, 4*m = -2*h - 2. Is -2 - (-27 + m + 0) prime?
True
Let a = -1 + 6. Suppose 10 = 5*f, -h = -a*h + 5*f + 586. Is h composite?
False
Let x = 3 + -2. Let l(j) = 26*j**2 - 2*j + 1. Is l(x) composite?
True
Suppose 2*r + 689 = 3*r. Is r prime?
False
Suppose 5*z - 13 = -q, q + 2*z - 26 = -2*q. Suppose -x - x = -q. Is (-1235)/(-25) + x/(-10) composite?
True
Suppose -3*z - 3 - 9 = 3*d, -5*z + 3*d - 44 = 0. Let l(j) = 7*j**2 + 5*j + 1. Is l(z) a composite number?
True
Suppose c - 26 - 27 = 0. Let b = 168 + c. Is b a prime number?
False
Let v = 17 + -13. Suppose 0 = -5*p + v*i - 310 + 1565, 0 = p - 2*i - 257. Is p composite?
True
Let i(k) = 4*k + 8. Let t be i(8). Suppose -2*s - r + 32 = 0, -2*s + 5*r - t = -4*s. Is s composite?
True
Suppose -6*h + 3*h = -57. Suppose -h = -a - 0. Is a a prime number?
True
Let c(m) = -2*m**2 + 6*m - 5. Let h be c(4). Let d = h + 29. Suppose -l - 5*z = -94, z - 145 - d = -2*l. Is l prime?
True
Let i(d) = -d + 39*d**3 - d**2 + 3*d**3 + 41*d**3. Let j be i(-1). Let b = -46 - j. Is b prime?
True
Let a(t) = 4*t**3 - 22*t**2 + 18*t + 3. Is a(8) composite?
False
Suppose 2*l - 576 = -4*n, 3*l - 3*n = -8*n + 866. Let w = l + -131. Suppose -2*p + t + w = 2*t, -3*t + 246 = 3*p. Is p a composite number?
False
Let u be (-9)/12 - (-3)/4. Suppose 2*m = -4*l + 22, -l + 43 = 3*m - u*m. Is m composite?
True
Let u(f) = 189*f - 2. Is u(1) composite?
True
Let o = -4 - -3. Let d be -1 + (-1 + 4 - o). Suppose 0 = 3*l + y - 168, -d*l - 2*y = -0*y - 171. Is l a composite number?
True
Suppose 0 = -7*g + 4*g - 63. Let b be 0 + -2 - g/(-3). Is 4/(-6) + (-429)/b a prime number?
True
Let t(h) = -8*h**3 - 4*h**2 + 5*h + 7. Let s be t(-5). Let u = s - 455. Is u a composite number?
True
Suppose -5*f - 2 = -0*t + t, -2*t - 4 = f. Is (-5)/(15/(-42)) - f prime?
False
Let j be (18/15)/((-2)/(-5)). Let i(b) = 6*b - 1. Let l be i(j). Let c = 60 - l. Is c composite?
False
Let c(r) = 543*r**2 - 1. Let p be c(1). Suppose 4*m + 438 = 2*u, 5*u - 2*m - p = 521. Is u prime?
True
Let p = -242 + 645. Is p composite?
True
Let u(s) = 2*s**3 + 4*s**2 - 6*s + 13. Is u(6) a prime number?
False
Let d = -4 + 7. Suppose 2*t - d*t = -4*h - 17, h + 7 = 3*t. Suppose -29 = -3*p + v, -2*v + 3 = t. Is p prime?
False
Suppose 5*g + 2*a - 1433 = 3*a, -2*g - 4*a + 582 = 0. Is g a prime number?
False
Suppose -6*k = -k - 3205. Is k a composite number?
False
Suppose t + i = -3*t + 153, 3*t - 101 = 2*i. Is t a prime number?
True
Suppose -401 = -5*x - 2*z, -6 + 3 = -z. Is x a prime number?
True
Let d(o) = o**3 + 2*o**2 - 4*o. Let x be d(-3). Let k(f) = -23*f + 3. Let q(p) = 35*p - 5. Let m(u) = 7*k(u) + 5*q(u). Is m(x) a composite number?
True
Let b be 1/(1 - 18/21). Suppose -3*m - b = -o + 7, -4*o + 12 = -m. Is o a prime number?
True
Suppose -u = 3*o - 776, -5*o + 1146 = -5*u - 154. Is o a composite number?
True
Let o = 4 + -3. Is (6 + 5)*13/o prime?
False
Suppose -2*h - 15 = -u + 44, 0 = 2*u - 2*h - 118. Let p = u - -68. Is p a composite number?
False
Let c(r) = -86*