e
Let w = -24 - -15. Let a be (0 - -53)/(8 + w). Let u = -16 - a. Is u a composite number?
False
Let k(j) = 3*j - 3. Let i be k(2). Let q(o) = 4*o**3 + 2*o**2 + 3*o + 2. Let y be q(i). Suppose 2*r + t - y = 0, r + 2*r - 207 = -2*t. Is r composite?
False
Let b = 66 + -39. Suppose 0 = -l + 3*q - 10 + 1, -b = -5*l - 3*q. Suppose -2*j + l*s = -j - 82, 52 = j + 3*s. Is j prime?
True
Suppose -9796 = -g - 4*q + 5321, 0 = -3*g + q + 45403. Is g a prime number?
False
Let g(n) = -30*n + 5. Suppose -4*t - 40 = 5*x + t, 3*t = -15. Is g(x) a prime number?
False
Suppose -2*m - 2 = 0, 40*m - 44*m + 134301 = 5*h. Is h composite?
False
Let r(i) = -18*i**3 - 14*i**2 - 9*i + 6. Is r(-7) composite?
False
Suppose 77*x = 47*x + 890310. Is x a prime number?
False
Let n = 14 + -12. Let t = 48 - 44. Suppose -t*m - 3*x + 539 = 0, -4*m + n*x = 6*x - 544. Is m a prime number?
True
Suppose 2*l = 11 + 43. Let x = l - 22. Let h(k) = 98*k + 7. Is h(x) composite?
True
Let m(h) = 8*h**2 - h + 29. Suppose -59*s + 30 = -62*s. Is m(s) prime?
True
Suppose 6 = 2*x - 6. Let s be (2 + (-15)/x)*-6. Suppose 2*h + s*z - 161 = 0, 75 = -4*h + 5*h - 4*z. Is h a composite number?
False
Suppose -37*s - 709 = -36*s. Let b = s + 1040. Is b prime?
True
Let i(u) = 3*u**2 + u - 485. Let h be i(0). Is 44/55*h/(-2) prime?
False
Suppose d + 36140 = 3*x - 9213, 4*x = d + 60472. Is x composite?
True
Suppose 90 = a + 3*v, -6*a + 2*v = -2*a - 304. Suppose -13 = 2*b + 37. Let x = b + a. Is x prime?
True
Let q(h) = 1000*h**2 + 22*h + 59. Is q(-4) a prime number?
True
Let z(l) = 4*l + 1. Let m be z(1). Let a be (m/(-3))/(5/(-3255)). Suppose -3*p + a = 2*p. Is p a prime number?
False
Suppose -7*f + 27 = -16*f. Let z(o) = -18*o**3 - 5*o**2 - 11*o - 23. Is z(f) a composite number?
True
Let o be 21/5 - 1/5. Suppose 6 + o = z. Is 556 + -1 - (-12 + z) a composite number?
False
Suppose 2*o - 9373 = -4*p - 3*o, -4*p + 2*o = -9366. Is p a composite number?
True
Suppose 5*k + 3*r = 24, -6 = 3*k - 3*r - 2*r. Suppose 4*s - 3*b = 1736, 4*s - k*b - 1704 = -8*b. Is s a composite number?
False
Suppose 2*i - 92794 = 2*n, n = -i + 8373 + 38028. Is i a prime number?
True
Let m = -96 + 397. Is m a prime number?
False
Let j be -4 + (-3)/(-3 + (-34)/(-12)). Suppose -10522 = -16*x + j*x. Is x prime?
True
Let i be (-16)/(-4) - (-2 - 2). Suppose 5*a - i*a = 117. Let b = -33 - a. Is b a composite number?
True
Let u = 39 + -27. Let w be (82/(-4))/((-6)/u). Suppose -5*t + 4 = -w. Is t a composite number?
True
Suppose 2*z + 2337 = -1513. Let g = z - -2846. Is g a prime number?
False
Let h be (10600/30)/(6/27). Suppose z - h = -z - 4*w, 4*w = -4. Is z prime?
True
Suppose 2*a - 3*w = 8155, -9109 = 4*a - 5*w - 25420. Suppose z - a = -1338. Is z a composite number?
False
Let f(o) = 48*o**3 - 5*o + 5. Is f(2) a prime number?
True
Suppose -21*i = -26*i - d + 18, 2*i - 2*d = 0. Let y be 14/(-8) + (-2)/8. Is y/i*2937/(-22) a composite number?
False
Suppose -i = 3*x - 4, -x - 1 = -i - 5. Suppose -x*t - 2403 = t. Is t/6*4/(-6) a composite number?
False
Let j be (1 + -1 + -3 + -10)*1. Let v(l) = l**2 + 10*l + 14. Is v(j) prime?
True
Let u(c) = 6 - 5 - 2*c + 0. Is u(-15) composite?
False
Let z(u) = u**3 - 10*u**2 - 4. Let i be z(10). Let f be 1/i + (-39)/(-12). Suppose g + 569 = 4*g + v, -f*g - 3*v + 561 = 0. Is g a prime number?
True
Let g = 35555 + 14756. Is g prime?
True
Suppose -66*p + 62*p + 161523 = 5*h, -5*p + 201940 = -h. Is p composite?
False
Let k(j) = -10507*j - 21. Is k(-2) prime?
False
Suppose -5*z = -4 - 6. Suppose -2*l + 22 = 3*c - z, 5*l + 5*c = 50. Suppose -l*p + 236 = -2*p. Is p composite?
False
Let y(f) = 32*f**2 + 5. Let h be ((-16)/10)/((-2)/30*-3). Is y(h) composite?
False
Let s = -11 + 13. Let w be 0 - (-2 - 4/s). Suppose 1775 = w*j + j. Is j a prime number?
False
Let j be (-1)/(-2) + (-3178)/4. Suppose -10*q = -9*q - 8. Is j/(-10) - q/20 composite?
False
Let q = 169026 - 110595. Is q a prime number?
False
Let o(n) = 10*n - 10. Let q be o(3). Let v = q + 537. Is v a composite number?
False
Let g(m) = -m**2 - 9*m + 14. Let q be g(-10). Suppose 3*l + 2*p + p - 6 = 0, 0 = q*l + p - 17. Suppose 0*a - l*a = -925. Is a a prime number?
False
Let j be (-107)/6 - (-2)/(-12). Let i = -12 - j. Is (-2301)/(-27) + i/(-27) a prime number?
False
Let y(h) = h + 218. Suppose 2 = r - 1. Suppose r*u - 5*u = 0. Is y(u) composite?
True
Let w be (3 - (-1370)/2) + 0. Let k = w + -455. Is k a composite number?
False
Suppose -2*c + 10 = -3*s, 0*c + 14 = 5*c - 2*s. Suppose 8*k - 12 = c*k. Suppose -k*r + 2 = -36. Is r a composite number?
False
Let r = -218 - -105. Let c = r + 172. Is c a prime number?
True
Suppose 14*k + 95545 = 1029527. Is k composite?
False
Suppose -l + 5 = 1. Is (-4)/(-16) - (-1555)/l prime?
True
Let k be (1134/35)/(3/(-240)*2). Let w = k + 2135. Is w composite?
False
Let r = 6055 - -31816. Is r prime?
True
Suppose 5*k = 2*l - 1244, -l - 2*l = -5*k - 1866. Suppose -l - 2411 = -3*o. Suppose 2*c + 2*c + 816 = 4*z, -5*z - 4*c = -o. Is z prime?
False
Let z be (-1 + -10 - -2)*-1. Let r be 88/(-12)*(-6)/4. Suppose -r*d = -z*d - 422. Is d prime?
True
Let n(m) = -m - 1 - 16*m**3 + 7*m**3 + 19*m**3 - 189*m**3. Is n(-1) a composite number?
False
Let z(c) = -32*c**3 + 3*c**2 + 2*c - 5. Let s(q) = q**3 - 4*q**2 + 7*q - 8. Let w be s(2). Is z(w) a composite number?
True
Let c(h) = -11*h**3 - 5 + 9*h**2 + 12*h**3 + 16 + 9*h. Is c(-6) a composite number?
True
Let b = -34375 + 75756. Is b prime?
True
Suppose -q = 5*p - 15, 5*q - 3*p + p - 21 = 0. Suppose -4336 = -q*u - 3*m, -9*m + 876 = u - 4*m. Is u a composite number?
True
Suppose 5*h + 2*k - 1845 = -0*h, -2*h + 727 = 3*k. Suppose -7*m = -h - 126. Is m prime?
True
Let v(b) = -b**2 + 8*b + 13. Let i be v(9). Let g be 2*(i + 1770/(-4)). Let c = g + 1596. Is c a composite number?
False
Suppose -222654 - 690153 = -9*y. Is y composite?
True
Let i be (265 + 1 - -2)/(-1). Let b be 5*(-68)/40*i. Is (-1 + 2)/(17/b) a prime number?
False
Let f(v) = -v**3 - 6*v**2 + 7*v + 5. Let b be f(-7). Is 4 - (b/(-5) - 668) prime?
True
Let l = -1742 - -4485. Is l a composite number?
True
Suppose -2*g = s + 3*s - 16406, -5*g - 3*s + 40987 = 0. Let p = g - 5418. Is p prime?
True
Let t(z) = z**3 - 2*z**2 + 2*z - 3. Let v be t(2). Let o(c) = 150*c**3 - c. Is o(v) prime?
True
Let t be (-2)/(4/(-14)) + 2. Suppose -2*i - 3 = -t. Suppose 15 = -3*j, -j - 4*j + 752 = i*k. Is k a composite number?
True
Is 782915/350 - 2/(-20) a prime number?
True
Suppose -3*g = -2*t - 14, -2*g - 3*g + 3*t = -25. Is (35/2)/(4/g) composite?
True
Suppose 0 = -4*m + 3*m. Let t(j) = j**2 - 2*j - 3. Let h be t(m). Is 168/6 - 1*h composite?
False
Let t(y) = y**3 - 25*y**2 + 33*y - 15. Let n be t(18). Let a = n + 4126. Is a composite?
False
Suppose 23*h - 20*h = -33. Suppose -5*d - p = -285, -247 = -4*d + 4*p - p. Let i = h + d. Is i a prime number?
True
Is (1 + -94772)*(-34 - -33) a prime number?
True
Let t be -1 + 2 - (-3 + -1). Suppose -w + f = t*f - 6231, w - 6263 = 4*f. Is w composite?
False
Let v(z) = 86*z - 52. Let t be v(24). Let s = t + -575. Is s a prime number?
False
Let a = -40 + 57. Suppose -a*q + 21*q = 3508. Is q a composite number?
False
Suppose -5*k + 10*k = -4*l + 18, -2*k = -2*l. Is -2289*5/(-30)*k composite?
True
Let b = -14601 - -24808. Is b prime?
False
Let n = 14738 + 2339. Is n a prime number?
True
Let g(b) = 28*b**2 - 123. Is g(16) a composite number?
True
Let f = -557 - -990. Let l(p) = -7*p**2 - 6*p - 3. Let g be l(-6). Let k = f + g. Is k a composite number?
True
Is ((-12)/5)/3 - (-502987)/115 a composite number?
False
Is 5/(-1 + -9)*-2734 a prime number?
True
Let l = -25 - -30. Is (l + -1 + 232)/2 a prime number?
False
Let f be (-2)/7 + (-1564)/14. Let b(g) = 46*g**2 - 2*g - 3. Let d be b(2). Let c = d + f. Is c a prime number?
False
Suppose 12*y - 26*y = -228662. Is y a composite number?
False
Let s = 1838 + -973. Is s a prime number?
False
Let g(k) be the first derivative of 223*k**4/4 - k**3/3 - k**2/2 + 3*k - 37. Is g(2) a prime number?
False
Suppose 3 = -19*q + 20*q, -5*q = 4*f - 235043. Is f a prime number?
True
Is ((-2)/(-3))/(((-22)/(-57801))/11) composite?
False
Suppose 3 = w + 1. Is (w/(-4))/((-4)/152) prime?
True
Let r = 461 + 5318. Is r composite?
False
Suppose 12422 = 5*i - 0*c + 2*c, c = 3*i - 7451. Suppo