- l. Is 12/24*(-1)/(k/1634) a composite number?
True
Let h(d) = 2*d**2 + 4*d - 6. Let y be h(-3). Suppose -2*z - 2*l - 579 - 93 = 0, 3*l + 3 = y. Let s = 1548 + z. Is s composite?
False
Suppose -133*j + 26478765 = -12862502. Is j a prime number?
False
Let d = 465 + -458. Let n(z) = 23*z**3 - 4*z**2 - 10*z - 2. Is n(d) composite?
False
Suppose -5*r + 2*w + w + 12 = 0, -4*r = 5*w - 17. Suppose r*h - 9*h + 24 = 0. Suppose 5*i = 5*s - 3985 + 305, s - 733 = h*i. Is s prime?
False
Suppose 5*b - 1715 = -5*d, 2*d + 611 + 75 = 2*b. Let o = -5069 - -5192. Suppose j = -m + b, o = m - 3*j - 204. Is m a prime number?
False
Is 194784 - (5 - 0/14) prime?
False
Suppose -4*s = 2*a - 786, -5*a = -5*s + s - 1909. Is (-39823)/a*-5 - 4/22 prime?
False
Suppose 9*t = -26*t + 653065. Is t a composite number?
True
Let k be 2*(-1 + 0 + 4 + -1). Let z be (-2)/9 - (-60)/27. Suppose -z*q + k*h + 968 = -38, 4*h + 1517 = 3*q. Is q prime?
False
Suppose 0 = -3*d - 3*v, 2*d - 2 = v + 10. Is ((-11)/1 - -9)/(d/(-1594)) prime?
True
Suppose 208*d - 214*d + 98580 = 0. Let o = d - 11161. Is o a composite number?
True
Suppose -16*p + 66012 - 6844 = 0. Let g = p + -1645. Is g a prime number?
True
Suppose 17*y = 4*y - 31421. Suppose -13*i - 34145 = 15957. Let p = y - i. Is p a prime number?
False
Let n(m) = -1. Let u = -119 + 118. Let a(f) = -108*f + 2. Let x(p) = u*a(p) + 3*n(p). Is x(9) composite?
False
Suppose -a - 2*v + 1997409 = 0, -4*a - 6*v + 7989629 = -5*v. Is a a composite number?
False
Let v = 3 + -1. Suppose -3*j + j = 2, 0 = -2*y - 5*j - 21. Is (-408)/y*(v + -1) prime?
False
Suppose 0 = -w + 5*v + 8668, -v = -151*w + 155*w - 34651. Is w composite?
False
Let b(c) = 6*c - 22. Let q be b(5). Suppose -2*d = -q + 16. Is 6987/12 + d/(80/(-15)) a prime number?
False
Let y(b) = -b**3 + 3*b**2 + 5*b - 4. Let k be y(4). Suppose k = -6*c + c - 2*n + 31, -c - 5*n + 20 = 0. Suppose -963 - 5722 = -c*f. Is f a composite number?
True
Let g = 40733 - 16872. Is g composite?
True
Let t(j) = -499*j**2 - 8*j + 8. Let g(i) = -499*i**2 - 7*i + 7. Let y(s) = -4*g(s) + 3*t(s). Is y(1) prime?
True
Let z be (-4 - -12)/(0 - -4). Suppose -3*n - n + z*f = -55324, 0 = 2*n - 5*f - 27678. Is n a composite number?
False
Suppose 0 = -y - q + 213180, -6*y = -10*y + 2*q + 852726. Is y prime?
True
Let q = -4 - 85. Let f = 225 + q. Is 5/((-40)/14)*f/(-2) prime?
False
Suppose 3*a + 4*d + 70 = 216, 3*d + 132 = 3*a. Let j = a - 46. Suppose 2*m - 2*n - 516 = 170, m - 3*n - 347 = j. Is m a prime number?
False
Let n(h) = -3 - h + 35*h**3 - 1 + 3 + h**2. Let s = 7088 + -7084. Is n(s) a composite number?
False
Let z(g) = 6*g**3 - g**2 - 77*g + 69. Is z(10) composite?
True
Let n(u) = -356*u**3 - 7*u**2 - 21*u - 41. Let i be n(-7). Suppose -8*o + i = 1767. Is o prime?
True
Let n = 23 + -7. Let c(d) be the second derivative of 4*d**3 + 25*d**2/2 + 12*d. Is c(n) composite?
False
Let w(c) be the third derivative of 29*c**5/30 - c**4/8 + c**3 - c**2. Suppose 51 = 14*s + 9. Is w(s) composite?
True
Let b(i) = -5*i**3 + 6*i**2 - 4*i - 31. Let r(w) = 11*w**3 - 14*w**2 + 9*w + 61. Let l(y) = -9*b(y) - 4*r(y). Let n = -1 + 1. Is l(n) a composite number?
True
Let v(j) = 3347*j - 11. Let p be v(7). Suppose -2*x = -0*r - 5*r - 9374, -5*x + p = -4*r. Suppose -x - 5839 = -9*y. Is y a prime number?
False
Suppose -2*a - 24087 + 120416 = -3*b, -2*a = 3*b - 96287. Is a a prime number?
False
Suppose -8 + 42 = 17*j. Suppose -3*m - 10281 = -3*r, -5*m - 3411 = j*r - 3*r. Is r a prime number?
False
Let q(b) = b**2 + 32*b + 65. Let i be q(15). Let p = 1087 - i. Is p prime?
True
Suppose 5*t - 11 = -4*i + 36, t = 4*i - 29. Is 3 - i/4 - -838 composite?
False
Let d be 9/6 - 660/(-40). Is d*(-16)/(-48) + 3499/1 a prime number?
False
Suppose -4*x = 6*x - 2770. Suppose j - x = 515. Suppose -3*s + 879 = -j. Is s a prime number?
True
Suppose -1666498 = 128*c - 190*c. Is c composite?
False
Suppose -716 = a - 3*m, 338 = a + 4*m + 1075. Let f = a - -2496. Suppose f - 477 = 2*o. Is o a prime number?
True
Suppose -3*f = -2*s + 963194, -2*f + 738009 = 3*s - 706769. Is s composite?
True
Let y(q) = q**2 - 12*q - 25. Let x(u) = -u**2 - 8*u - 9. Let n be x(-5). Suppose -4*s - 3*o + n = -6*s, 0 = 3*s - 4*o + 10. Is y(s) a composite number?
False
Suppose -2*x + 15349 + 11343 = 4*g, -2*x + 6679 = g. Let v = g - 2344. Is v composite?
False
Is -12 + (-1892)/(-154) - (-636198)/14 composite?
True
Suppose f - 1551 + 7138 = -5*b, 0 = 3*b - 2*f + 3360. Let t = 1655 - b. Is t composite?
True
Let o = 227922 + -100807. Is o prime?
False
Let w(z) = 2*z - 17. Let g be w(10). Suppose n - 2 = 0, 0*n + 5*n = -g*j + 7777. Let u = j - 1550. Is u composite?
False
Let m(x) = -x**2 - 7*x - 4. Let t be m(-4). Suppose 3*y = -3*r + 30, t*r + 2*y = 5*r + 28. Suppose -r*k - 705 = -13*k. Is k composite?
True
Is -54123*(49/(-21) - -2) a prime number?
True
Let a = -96 + 185. Let n = 52 - a. Let o = n - -200. Is o a composite number?
False
Is ((-27814)/6 - 0)/((-73)/219) composite?
False
Suppose 3*d - 5*b = 231, -d + 3*b - 5*b = -66. Let u = d - 67. Suppose -u*l - 4*t + 7851 = 0, 4*l + t + 3*t = 6284. Is l prime?
True
Let m(k) = -k**2 + 24*k - 55. Suppose -4*x + 5*j = -6*x + 17, -5*x + 32 = 2*j. Is m(x) prime?
True
Suppose 0 = 3*p - 0*p - 4*a - 64925, 2*p - 43260 = -2*a. Is p composite?
True
Suppose 136*b - 1034459 = -123*b + 230*b. Is b a composite number?
False
Is (-6)/(-30) - 764472/9*108/(-30) composite?
True
Suppose -6*i - 129946 = -451804. Is i composite?
True
Suppose 6*a - 9*a + 6 = 0. Let n be a + (-10)/6 - (-5633)/3. Suppose -l + n = 2*i, -l - 921 = -i + 3*l. Is i a composite number?
False
Let s(k) = 13*k. Let l be s(1). Let u(n) = 54*n**2 - 25 + l*n - 3*n**2 - 14*n. Is u(7) a composite number?
False
Suppose 19 - 7 = 4*c, -2*i + 3*c + 9 = 0. Let n be 1/3 - ((-21)/i)/(-7). Suppose n = 5*y - 279 - 106. Is y a prime number?
False
Suppose 363*b + 621457 = 366*b + 2*d, d + 1035792 = 5*b. Is b a prime number?
False
Suppose 17*k = 5530013 - 356896. Is k a prime number?
True
Is ((-12)/(-5))/((-69)/(-15) - 5) + 48387 prime?
False
Let q = 89881 + -44866. Suppose -d = -2*f + 21353, 8355 + q = 5*f - 5*d. Is f composite?
True
Let d(b) = b**3 + 0*b**2 + 4*b**2 - b - 2*b**3 - 8 + b**2. Let i be d(4). Suppose i*x + 427 = 3*h, 5*x - 250 = -3*h + 168. Is h a prime number?
False
Let p(h) = -3*h**2 - 8*h + 191714. Is p(0) a composite number?
True
Suppose 3*h + 62 - 92 = 0. Is (3376 - -4) + -4 + h composite?
True
Let y(w) = 46*w**2 - 47*w - 6. Let o(z) = -31*z**2 + 31*z + 4. Let v(d) = 7*o(d) + 5*y(d). Is v(13) a composite number?
True
Suppose -5*s = -5*j - 319500, 16*j - 63885 = -s + 12*j. Suppose 8*h - s + 11201 = 0. Is h prime?
False
Let k = 939127 - 269570. Is k composite?
True
Let u(r) be the second derivative of 21*r**5/20 + r**3/3 - r**2 - 51*r. Let f be u(1). Suppose -f*x + 22*x = 469. Is x a composite number?
True
Suppose -14*f - 503200 = -147*f + 25463055. Is f a composite number?
True
Let a = -108 - -121. Is 2/a + (-112290)/(-26) prime?
False
Is (4 + -9)*-2 + 24770333/31 a prime number?
False
Suppose -6*z - 32747 = -127469. Is z a composite number?
False
Let l(n) = 7*n**3 + n - 841. Suppose z = -4*q - 21, 5 + 22 = -3*q + 3*z. Let o(i) = -i**3 + 1. Let v(p) = q*o(p) - l(p). Is v(0) composite?
True
Let k = 53 - 44. Suppose 14 = k*v - 13. Suppose -5379 - 1356 = -v*o. Is o a composite number?
True
Let v(m) = 3*m**3 - 13*m**2 - 25*m + 25. Let l be v(12). Suppose q - 4*x = -5*x + l, 3*q - 9107 = -4*x. Is q a composite number?
False
Let n be (-1 - -1)/(-4 - (7 + -12)). Suppose 2*l - 2 - 4 = 0, n = f - 3*l - 462. Is f a prime number?
False
Let i(y) = y**2 + 5*y - 10. Let n be i(-7). Suppose r + 822 = n*r. Suppose -4*d + 1385 = -3*x, -2*d + r = -5*x - 415. Is d composite?
False
Let t be (-2254)/(-56) + -12 + 2/(-8). Suppose 0 = 30*l - t*l - 6874. Is l a prime number?
False
Suppose 4*c = 3*t + 206363, -10*t + 9*t + 3 = 0. Is c a prime number?
True
Suppose -9694 = 2*z - 312728. Is z prime?
True
Suppose 3*q - 2*g + 10466 = 0, 6*g - 3492 = q + 2*g. Is 0 + 15/5 - (q - 0) a composite number?
False
Let c = -75 - -79. Suppose -2*s + 3*t = -2077, -4*s + c*t + 1037 + 3115 = 0. Is s a prime number?
False
Suppose 3378466 = 85*x - 19244709. Is x prime?
False
Let j(o) = 18 - 5 + 13 - 1005*o. Let h be j(-5). Suppose