
True
Let k(i) = i**2 - 5*i**3 + 5 - 11*i**2 + 12*i + 9 - 1. Let c(y) = -2*y**3 - 3*y**2 + 4*y + 4. Let t(q) = -8*c(q) + 3*k(q). Is t(6) composite?
False
Suppose 0 = -25*i + 10*i + 142860. Let d = i - 2259. Is d a composite number?
True
Let a be (10 + 33/(-6))*16/6. Is (226/a - 0) + 52/312 a composite number?
False
Is (15359/3)/(150/18 - 8) prime?
True
Suppose -3*v - 5*u = -9825762, -56*v + 3*u = -57*v + 3275258. Is v composite?
False
Let j(g) be the third derivative of g**5/20 + g**4/12 - g**3/6 - 2*g**2. Let t be j(-2). Let r(c) = c**3 - 6*c**2 - 10. Is r(t) composite?
True
Suppose -3*k + n + 18291 = 0, n = -3*k + 6*n + 18279. Suppose 11*t + k = 12*t + 3*v, 4*t = -4*v + 24392. Is t composite?
True
Let p = 359 - 200. Suppose j - p = 3*s + 171, 2*s - 345 = -j. Is j composite?
True
Let q be (-3 + 0)/(1/(-1)). Suppose q*f - 5*f = 8. Is 184 + (5 + f - -2) a composite number?
True
Suppose 11 = -k - 3*o, -7*k + 11*k + 5*o = -9. Suppose -4*i = -2*g + g - 3197, k*g - 795 = -i. Is i prime?
False
Let j = 375364 + -205625. Is j prime?
False
Let t be -1 + (-29602)/(-10) - 9/45. Suppose -7304 = -11*y + t. Is y composite?
True
Let p(h) = 266*h - 21. Let d(r) = -3*r - 1. Let b(j) = -6*d(j) + p(j). Is b(19) a composite number?
False
Suppose -57*y = -38*y + 247. Let v be -265*1 + 2 + -1. Let l = y - v. Is l prime?
True
Is (74780/(-25))/(16/(-20)) composite?
False
Let l = 90983 + 287418. Is l a prime number?
True
Let f be ((-772)/10)/(2/(-10)). Suppose q - f = 1715. Is q a composite number?
True
Suppose 5*f - 15956 - 10089 = 0. Let m be f/5 + (-2)/(-10). Suppose 2*x - 2680 = m. Is x composite?
False
Let b(y) = 7931*y**2 + 56*y - 187. Is b(12) a composite number?
False
Let s be ((-18)/7)/(-3 - 156/(-56)). Suppose -s*u - 3 = -27. Suppose u*k + k - 1695 = 0. Is k a prime number?
False
Let t(q) = 83*q**2 - 26*q + 36. Let o be t(11). Suppose -5*p + 9*k - 6*k = -16311, -5*k = -3*p + o. Is p composite?
True
Suppose -25396052 = -154*h + 192500550. Is h a prime number?
True
Suppose -376563 = 766*f - 769*f. Is f a composite number?
True
Suppose -3*g = 5*o + 42, -o + 4*g = o - 4. Let f be -1 + 3 + (-5418)/27*o. Suppose 3*r - f = -2*j - 3*j, 0 = -4*r + 5*j + 1643. Is r a prime number?
False
Suppose 6*v - 3*v + 81 = 0. Let d = 34246 + -11170. Is d/v*9/(-6) prime?
False
Suppose -i + 3 = 10. Let t(d) = -4*d - 25. Let l be t(i). Suppose 8*m - l*m - 4255 = 0. Is m prime?
False
Let p = 1356 - 677. Suppose 0 = -2*c + p + 1057. Suppose -165 + c = b. Is b a prime number?
False
Suppose 13*y + 3*o = 16*y - 291, -5*o - 291 = -3*y. Suppose -4*z + y*p - 99*p = -2946, 4*z + 5*p - 2943 = 0. Is z a composite number?
True
Suppose 2*i + 2*t = 0, 0 = -i - 0*t + 5*t + 30. Suppose -44316 = -103*w - 20*w + 344610. Suppose 0 = -f - i*f + w. Is f a composite number?
True
Suppose 0 = -3*d - 3*g + 5231148, 0 = -5*d - 23*g + 24*g + 8718562. Is d a prime number?
True
Let l(r) = 3*r**2 + 18*r - 21. Let a be l(-7). Is 4/(-4)*(a/(-6) - 2897) a prime number?
True
Let s(x) = 4*x**2 + 4*x + 3. Let f be s(-3). Let d be ((-24)/84 + 710/(-14))/((-12)/(-3444)). Is ((-14)/18)/7 - d/f composite?
True
Suppose 119*k = 129*k - 1212170. Is k prime?
False
Let v(g) be the second derivative of 13*g**3/6 - 19*g**2 - 253*g + 3. Let b be (1/2)/((-2)/(-52)). Is v(b) prime?
True
Is -2*(-58)/(-16)*(-1982264)/62 a composite number?
True
Let r = 97 + -99. Is 14355/15 - (-4)/r prime?
False
Let j(p) = -81*p**3 - 2*p**2 + 3*p + 23. Let f = 890 + -896. Is j(f) composite?
True
Let z(x) = -89*x**3 - 10*x**2 - 45*x - 545. Is z(-11) a prime number?
False
Let v(q) = -4084*q - 123. Is v(-5) a prime number?
True
Suppose 2335*d = 2336*d + f - 74652, 298616 = 4*d - 4*f. Is d prime?
True
Suppose -5*j + 312352 + 100573 = 0. Let q(s) = -111*s - 222. Let u be q(-2). Suppose u = -9*f - 25894 + j. Is f composite?
False
Suppose -a + 11 = -4*t - 10, -4*a + 6 = -3*t. Is 3/(-2) + 81831*t/(-36) prime?
False
Let o(h) = 4*h**2 + 4*h + 8. Let d be o(5). Let m = 7 + d. Let z = m + 374. Is z a prime number?
True
Suppose -z + 7 = x, -9 = 2*z - 15. Suppose -8*r - a = -3*r - 114398, x*a + 22867 = r. Is r a composite number?
True
Let k(w) = w**3 + 13*w**2 - 2*w - 8. Let p be k(-13). Is (p/27)/((-6)/(-32679)) prime?
True
Let z = -19 + 21. Let a be 2 + (-3 + z)*-798. Suppose -a - 958 = -6*k. Is k prime?
True
Let n be 1/((7/(-686))/((-127)/(-2))). Let t be -2 + 0 + 1 - n. Suppose k + 2*f + 2*f = 1561, -4*k - 5*f = -t. Is k a prime number?
True
Let a(y) = 232*y**3 + 6*y**2 + 7*y - 18. Is a(5) prime?
True
Let y(o) = 3*o**2 - 14*o + 119. Let m be y(9). Suppose -m*x - 745 = -241*x. Is x a prime number?
True
Let f = -1596 + 22577. Is f a prime number?
True
Let b = 511225 + -97442. Is b a composite number?
False
Let u = 6768 - 6766. Let f(p) = p**2 - 3*p. Let o be f(3). Suppose u*l + 3*l = -4*m + 2447, -3*l + 3*m + 1452 = o. Is l composite?
False
Let l be 109908/(-15) - (-56)/(-70). Let m = l - -13327. Is m prime?
False
Suppose -21 = -22*i + 45. Suppose -77336 - 31169 = -5*a - w, i*a - 65103 = w. Is a composite?
False
Suppose 0 = 43*f - 37*f + 240. Let p be (3/((-36)/f))/((-6)/(-9)). Is -5*p/(-25)*(1625 + -2) composite?
True
Suppose 2*s = -i, -5 = 2*i + 3. Suppose -5*v = 2*l - 7*v - 7840, l = s*v + 3919. Is l a prime number?
False
Let q = -1878 + 2815. Is q a prime number?
True
Let s = 5 + -1. Let f(k) = -k**3 + 61*k**2 + 261*k - 61. Let d be f(65). Is 2/s*(2298 + 0/d) composite?
True
Let l = 63 - 13. Suppose 4*k - 10 = 3*z - l, 88 = 5*z + 4*k. Is (-3)/(-12) + 4012/z prime?
True
Is -6*(-6 + 132573/(-18) - 3) a composite number?
True
Let x = -48581 + 85768. Is x a composite number?
True
Suppose 1141 = 4*h + 1057. Is (-2)/(-6) + 0 + 63770/h composite?
False
Let t = 9687 + -6752. Is t a composite number?
True
Let r = 30042 + 19555. Is r a composite number?
False
Suppose -55*m = -50*m + 4*t - 677253, 2*t - 4 = 0. Is m prime?
True
Let v = 878 + -850. Suppose v*b = 56567 - 6139. Is b prime?
True
Suppose 4*v + 1 = d, -3*d - 2*v = v - 3. Suppose -d + 5 = 2*g. Suppose -2*i = 6*p - g*p - 2134, i - 1067 = 3*p. Is i prime?
False
Let c be ((-6)/(-4))/(12/(-16)). Let x = c - -6. Suppose 3*l + 1266 = 3*z, l - 1673 = -x*z + 2*l. Is z prime?
False
Let s be 11 + (-1 - 4)/5. Let x be (-1*(-6)/s)/(4/20). Suppose 2112 = -r + x*r - 2*c, -3*c + 4259 = 4*r. Is r a prime number?
True
Suppose i + s = -9, -i + s + 3*s = -16. Is (-3 + 1)/(i/1670) a prime number?
False
Suppose 82*s = 38*s + 35*s. Suppose s = 11*o + 63350 - 196989. Is o prime?
True
Suppose -t + 80717 = 8*r - 33174, 0 = -3*t + 2*r + 341517. Is t a composite number?
False
Let f(d) = 8244*d**2. Let i be f(1). Let v = -4753 + i. Is v composite?
False
Let y(b) = 4*b + 331. Let i(o) = -3*o**2 - 3 + 9*o**3 + 7*o - 3*o - 5*o - 10*o**3. Let z be i(-3). Is y(z) a composite number?
False
Let w be 1 + -3 + 2 + (-1140)/(-5). Suppose 1329 - w = c. Is c composite?
True
Let i(l) = 2*l**3 - 3*l**2 - 2*l - 11. Let s(k) = -k**3 - 1. Let g(m) = i(m) - 5*s(m). Let o be g(7). Is (o/3)/(2/3) a prime number?
True
Let f = 77377 + -4608. Is f a prime number?
False
Let u be (-9)/1 + (-41 - -12438). Let c = u - 6129. Is c a prime number?
False
Suppose 668 = w + 104. Suppose -4*i = -s - 2*s + 915, -4*i = 0. Let f = w - s. Is f composite?
True
Let x(h) = -71*h**3 - 6*h**2 + 9*h - 5. Let n be x(3). Is n*1*-4*1/4 a prime number?
True
Suppose -59 = -12*a + 25. Suppose -a*v + 2478 = -13055. Is v a composite number?
True
Suppose -8*l = -18 - 62. Let x(h) = 12*h**3 + 18*h**2 - 52*h + 23. Is x(l) a prime number?
False
Let h(m) = m**3 + 2*m + 4. Let l = 89 - 89. Let q be h(l). Suppose -q*d + 15754 = 710. Is d prime?
True
Let v(w) = -924*w - 187. Let n(r) = -r + 3. Let z(k) = 5*n(k) + v(k). Is z(-9) prime?
False
Suppose 0 = -4*j + 15*j - 41272. Suppose -3*k + 5215 = -4*s, j - 10747 = -4*k - 3*s. Is k a composite number?
True
Let m(q) = q**3 + 4*q**2 + q + 6. Let c be m(-4). Is 97*(c/(-3))/(12/(-198)) prime?
False
Let v be (-177)/12 - (-1)/(-4). Let j be 4/(-10) - 81/v. Suppose 3*l - 3012 = -5*u, j*l - 4*u = 3414 + 1643. Is l prime?
True
Let u = 511 - 2147. Let j = u + 2309. Is j a composite number?
False
Let s(u) = 31691*u + 585. Is s(4) a prime number?
False
Let u(x) be the second derivative of x**4/12 + x**3 + 11*x**2 - 8*x. Let o be u(-3). Let j(m) = m**3 + 14*