 - -8) composite?
True
Let j = 103 - 89. Is 7602 - j/(3 + -5) a prime number?
False
Let r be ((42 - 43) + 2/8)*4. Let o(u) be the first derivative of -547*u**2/2 + 8*u - 1. Is o(r) a prime number?
False
Let o(b) = -8*b - 2. Let j = -10 + 9. Let n be o(j). Suppose 3*w - 1883 = -5*f, 2*f - w + n*w = 738. Is f composite?
False
Let s(v) = -83*v**3 + 7*v**2 - 3*v + 15. Let a be s(-7). Suppose -16*o + a = -0*o. Suppose -2*g + o = -2315. Is g prime?
False
Suppose 2232 = 4*n - 3*b + 5*b, 4*n + 4*b = 2240. Let g be n/14 + 40/140. Is (10/g)/((-2)/(-1256)) composite?
False
Suppose -4*g - 4*j - 16 = 0, -4 = g - j - 8. Suppose g = -499*n + 496*n + 53895. Is n a prime number?
False
Let s(z) = 297*z - 14. Suppose -3*l = 3*b - 5*l - 290, 4*b = l + 380. Let d = 98 - b. Is s(d) composite?
True
Let r be (32/(-28))/(14/(-49)). Suppose -3 = 2*p - 9. Is (r + -6 + 4 - p)*-701 a prime number?
True
Suppose 0 = -a + 3*a - 24. Let k be ((-4)/2 - 0)/(a/(-18)). Suppose -502 = -2*f + 5*q, 2*f + k*q - 502 = -q. Is f a prime number?
True
Let m(o) = -5 - 1 - 157*o - 9 + 13. Let v be m(-7). Suppose 0 = 3*w - v + 200. Is w a prime number?
False
Suppose 175108 = 3*g + 2*y, g - 8*y = -7*y + 58371. Suppose 4*a = -3*m + 4*m + 58366, -4*a + g = -3*m. Is a a prime number?
True
Let g(n) = -n**3 + 4*n**2 - 4*n + 50. Let p be g(5). Is p - 10 - ((2 - 5) + -17149) a prime number?
False
Suppose 140*q - 3688087 = -2936522 + 4158095. Is q a composite number?
False
Suppose 263*q - 5*d = 262*q + 99516, 0 = -4*q + 7*d + 398155. Is q prime?
True
Suppose 9*z + 1031 - 2948 = 0. Suppose 0 = -v + 2010 - z. Is v prime?
False
Let o(v) = 3544*v**2 + 2*v - 3. Let c be (-62)/22 + (-60)/330. Let h be o(c). Is (-2)/(-26)*h + (-2)/(-13) a composite number?
True
Let p be ((35316/(-24))/(-27))/((-1)/(-98)). Suppose -2*h + 7527 = 4*m + 401, 0 = 3*m - 2*h - p. Is m prime?
False
Suppose -3*s - o + 8 = 0, 0 = 5*s - o + 2*o - 16. Suppose -r = -s*x + 12, 4*x - 9*x + 5*r = -15. Suppose 6*j + 4153 = 3*w + j, -x*w = j - 4141. Is w prime?
True
Suppose -57*k - k = -5898658. Is k a prime number?
True
Is 5111632/36 + -1 + (-8)/(-36) a prime number?
False
Suppose 357 = -5*t + 3*y, -2*y - 2 = -0. Is (-17)/((-18)/t - (-311)/(-1228)) a prime number?
False
Is (-35 - (-10 - 19)) + (80046 - 1) prime?
True
Suppose -5*q - 79 - 1 = 5*v, 6 = -v + q. Let k be (-4 - v - 0) + -1. Suppose -1015 = -k*z + z. Is z composite?
True
Let f(n) = 145*n**2 - 84*n + 545. Is f(6) a composite number?
False
Let t(o) = 84*o**2 - 5*o + 3. Let k be t(4). Suppose 0 = 4*a + 2*f - 737 + 105, -a = f - 159. Suppose -k = -4*b + a. Is b a composite number?
True
Let w(y) = 17*y**2 - 9*y - 9. Let t(q) = 33*q**2. Let a be t(1). Let k = a + -40. Is w(k) a prime number?
True
Suppose -21*v + 5*v + 80 = 0. Suppose v*t - 11814 = -2*i + 7281, 4*i = 5*t - 19125. Is t a prime number?
True
Let m be 5/((24/(-9))/(-8)). Suppose -2*f = 2*y - 8 - 2, -3*f + m = -2*y. Suppose 4*u - 2873 - 575 = y. Is u a prime number?
False
Let x(i) = -i**3 + 5*i**2 + 3*i - 10. Let q be x(5). Is (420944/40 - (-8)/20) + q a composite number?
False
Let k = 501624 - 126701. Is k a prime number?
False
Suppose -3*d = 5*s - 6, 3*d - 6 = -0*s - s. Suppose -6*w - d*w = 32. Is ((w/3)/2)/(54/(-51921)) composite?
False
Suppose 11*a - 12*a + 100797 = 4*x, 4*x + 8 = 0. Is a a composite number?
True
Suppose -21 = 3*u, -43*h + 2*u - 256901 = -48*h. Is h prime?
True
Suppose -4*c - 2*h + 672 = 0, -2*c + 386 = -h + 50. Suppose -4*y + c = 3*y. Is -6 + 5418/y + (-3)/4 a composite number?
True
Suppose 1132 = 4*y + o, 3*y - 1108 = -y + 5*o. Suppose n - q = -256, -496 = 3*n - q + y. Let h = 890 + n. Is h a composite number?
True
Suppose 131 = -g + 127, 5*t - 36 = 4*g. Suppose -r = 3*r - 16. Suppose -r*y - 6 + 997 = b, t*b - 4006 = -2*y. Is b a prime number?
False
Let s(o) = 15*o - 11*o + 28*o + 3*o + 84*o**2 - 233 + 50*o**2. Is s(6) a prime number?
True
Let m(y) = -22057*y + 2690. Is m(-21) a composite number?
False
Let g(f) = -5311*f - 2145. Is g(-6) a prime number?
False
Let r(b) = 52*b - 27. Let m(w) = -209*w + 108. Let d(z) = -2*m(z) - 9*r(z). Let i(o) = -o**2 + 14*o - 21. Let n be i(13). Is d(n) a prime number?
False
Suppose 129*t - 49467138 - 100540899 = 0. Is t a composite number?
False
Let j = -160056 - -2086949. Is j a composite number?
False
Is ((4 - 2) + (-39721172)/57)*3/(-2) prime?
False
Let m(u) = u + 1. Let w(l) = -80*l - 49. Let t(n) = 4*m(n) + w(n). Is t(-6) composite?
True
Let w be (-86)/6 + 7 - (-8)/6. Let r(k) be the second derivative of k**4/6 - 5*k**3/3 - 5*k**2/2 - 3*k. Is r(w) composite?
False
Suppose 3*q = -5*i + 764234, 2233*q = 2238*q - 4*i - 1273711. Is q composite?
True
Let o be (10/(-25))/2 + 21/5. Let h(i) = -199*i + 5. Let a be h(o). Let v = a + 1290. Is v a prime number?
True
Let f be 1/5 - (9376780/(-50))/7. Suppose -f = -9*o - 1942. Is o composite?
True
Let d = -5354 + 9431. Let b = d + -2278. Is b a prime number?
False
Is 5/4 + (-8)/((-256)/3181752) a composite number?
False
Let y(u) = -887*u - 454. Let h = -466 + 459. Is y(h) composite?
True
Suppose -5*q = -5*v - 0 - 15, -2*v - 6 = 2*q. Suppose -f = -5*o - 10145 + 150, -5*o = q. Is f composite?
True
Suppose -3*s + 25851 = 4*t - 2*s, 3*s = 5*t - 32301. Suppose j - 665 = 3*a - t, -3*j + 3850 = 2*a. Is a prime?
True
Is 6/99 + (-107236990)/(-2310) a composite number?
True
Is (81 - -39211)/(2/2) + 1 a prime number?
True
Let i(q) = -q - 5. Suppose k - 4*k = 21. Let m be i(k). Suppose -2*s + 6524 = m*s. Is s composite?
True
Let a(q) = 116*q**2 + 115*q + 110. Is a(-33) a prime number?
False
Is ((-19)/(-38))/(-1 + 6040437/6040434) a prime number?
True
Suppose -3*n + g = -78971, -8*n + 26347 = -7*n + 3*g. Is n prime?
False
Is ((-2)/(-10))/(2/5) - 4674988/(-152) a composite number?
False
Let v(j) = -5*j + 305. Suppose 2*q = -5*d - 21, -4*q + 6 = -2*d - 12. Suppose -5*b = -10*b - q*b. Is v(b) composite?
True
Let p(t) = -t**3 - 2*t**2 + 12*t - 10. Let f be p(-5). Let n(b) = -4*b**2 + 2*b**3 + 1 + 10 + 3*b + b**2. Is n(f) a prime number?
False
Let x = -51047 + 318750. Is x composite?
True
Let h(n) = 79*n**3 - n**2 - 4*n + 11. Let d be h(6). Let s = -10369 + d. Is s a prime number?
False
Let f be 6/10 + 13628/(-5). Let n be 4/(-2)*f/10. Let k = -342 + n. Is k a prime number?
False
Suppose -39720 = 4*a - 12388. Let o = -3056 - a. Is o prime?
False
Let m(k) = -k**3 - 24*k**2 + 3*k + 9. Let d be m(-23). Let x = 264 - d. Is x composite?
False
Let n = 957 + 1093. Suppose -43*o + 38*o - n = 0. Is o*(-4)/8 - 2 composite?
True
Let i = 14 + -14. Suppose -5*m - 3*a + 28 = i, 3*m + a - 12 = m. Suppose m*f = 6*f - 4*c + 5130, -4*c - 5106 = -2*f. Is f a prime number?
False
Let g(k) = -157*k - 135. Let j be g(-17). Let h = j - 207. Is h prime?
False
Let m(t) = t**3 + 16*t**2 + 60*t + 9. Let o be m(-10). Suppose 54*h - o*h - 207585 = 0. Is h a composite number?
True
Let i = 125 - 173. Is (i/(-72))/(2/34116) + -3 a prime number?
True
Let o(u) = 341*u + 11. Let m be o(3). Suppose m = -5*s + 6469. Is s composite?
False
Let l be -2 + 23/4 - (-5)/20. Is 4 + (11280 - 4/l) + 0 composite?
True
Suppose 444360 = 4*r - 2*x, -3*r = 5*x - 2*x - 333288. Is 4/(-7) + -2*r/(-56) a composite number?
False
Let m = 177719 + 534546. Is m a prime number?
False
Let x = 60 - 60. Let z(m) = 3*m**2 + m + 3. Let g be z(x). Suppose 1709 = g*o - 2*h, -o + 5*h + 227 = -321. Is o prime?
False
Let z = -19852 - -28415. Is z a prime number?
True
Suppose -4*w = 3*c - 17, -3*c - 2*w + 6 = -7. Let r = 63 + -58. Suppose -k = -4*f + r*f - 474, c*f = 2*k - 973. Is k prime?
True
Let p = 542 + -554. Let j(t) = 153*t**2 + 14*t + 91. Is j(p) prime?
False
Suppose -23*q + 1451079 = -14*q. Suppose 3*d + 161213 = 8*d + 4*b, -5*d + 2*b + q = 0. Is d a composite number?
True
Let w(h) = -h**2 + 9*h - 2. Let x be w(6). Suppose 9632 = -12*v + x*v. Suppose 10*u - v = 2382. Is u a prime number?
True
Is 60506 - -3 - (126/(-15) - (-152)/380) composite?
True
Let q(s) = -s**2 - 13*s - 25. Let r be q(-10). Suppose -19 = -r*t - 4. Suppose t*c = 3001 + 1106. Is c a composite number?
True
Suppose 2*p - 15676 = -2*n + 5*n, -2*p - 20892 = 4*n. Is ((-24)/(-32))/((-3)/n) a composite number?
True
Let s(p) = p**3 - 18*p**2 + 15*p + 39. Suppose 8*o - 51 = 5*o. Let c be s(o). Suppose 950 = c*n - 705. Is n composite?
False
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