
Let n(x) = -x**3 + 3*x**2 + 5*x - 8. Let z = -29 - -33. Let w be n(z). Is 9/6 - 486/w a prime number?
False
Is (-90)/(-45)*(-136471)/(-2) composite?
False
Suppose 4*o = -12, 5*i + 5*o + 33063 = i. Let w = 11027 - i. Is w a composite number?
False
Let r = 129 - 181. Is (1027/r)/(1/(-8)) composite?
True
Let n(p) = -p**3 + p + 2. Let q be n(-1). Let j be q*(-4)/8 - 5. Is 15*j/(-18) + 1842 composite?
False
Let l(p) = 4*p**3 + 5*p**2 + p + 1. Let d be l(-2). Is (-1777)/(-2)*(-26)/d prime?
True
Suppose v + r + 3*r = -10, -4 = r. Suppose -3*x - 9 = 0, -v*w + 9*w - 2214 = -5*x. Is w prime?
True
Let t(j) be the second derivative of -j**4/12 - 5*j**3/3 - 2*j**2 + 34*j. Let p be t(-9). Suppose p*m + 4*m - 1935 = 0. Is m composite?
True
Let t(g) = g**3 - 6*g - 5. Let r be t(-2). Let b be (-4 - (-82)/(-10)) + r/(-5). Is 915 - (6 + b)/((-6)/(-4)) a prime number?
True
Let b = 570400 - 260477. Is b a composite number?
True
Let c(t) = -406*t + 215. Let q = -336 - -315. Is c(q) a prime number?
True
Let z(p) = 5031*p + 1045. Is z(10) a composite number?
True
Suppose -18 = -6*s - 3*s. Suppose 4*v = 4*f - 13936, 6980 = s*f - 3*v + 5*v. Is f prime?
False
Let s(i) = -3*i - 7*i**2 - 4*i**3 - 5 + 8*i**3 - 5*i**3 - 6*i. Let g be s(-6). Let q(w) = w**2 + 11*w + 19. Is q(g) prime?
True
Let m(s) = -102*s + 3. Let y be m(-3). Suppose 179*l - 6740 = -9221 + 27899. Let f = y + l. Is f a prime number?
False
Let i be (1*2/(-4))/((-18)/(-216)). Is (-7 - i)*2146/(-2) composite?
True
Let u(j) = 5 + 2 + 2*j**3 + 1015*j + j**2 - 1014*j. Let z(q) = -q**3 + 10*q**2 + 13*q - 15. Let f be z(11). Is u(f) a prime number?
False
Suppose 16*t - 773 = -277. Suppose -t*s + 10506 = -25*s. Is s a prime number?
False
Let h(d) = 533*d + 2349. Is h(28) prime?
False
Let s(w) = -w**2 + 444*w + 333. Is s(86) a composite number?
False
Suppose -d = -3, 39*d + 63251 = 4*g + 36*d. Is g composite?
True
Let y(w) = 4*w + 82. Let v be y(-18). Suppose -v*n = -5*n - 265. Is n prime?
True
Let c(a) be the first derivative of a**4/4 + a**3/3 + a**2 + 13235*a + 132. Is c(0) composite?
True
Let c = -82 - -93. Suppose 16 = 5*v + c. Is ((-2)/(-12))/v + 276497/78 prime?
False
Let v(n) = 6*n + 1 + 5*n - 3 - 12*n. Let w be v(-6). Is ((-5486)/39)/(w/(-6)) a composite number?
False
Suppose 2998*j - 3026*j = -3692164. Is j prime?
False
Suppose -14*f + 595984 = 2*f. Suppose -w + 8*z + f = 5*z, 5*z = -4*w + 149030. Is w a composite number?
True
Let k be -2*2 + (-2)/6*-33. Let i(f) = 8*f**3 - 3*f - 11 - 16*f**3 + k*f**3 - 12*f**2 - 3*f**2. Is i(-16) a composite number?
False
Let k be ((-2885)/(-20))/((-2)/(-16)). Let y = k - 575. Is (1 - (-20)/(-28)) + y/7 composite?
False
Let b = 29 - 28. Suppose 0 = -5*q + c + b + 17, -2*q + 12 = -2*c. Suppose -q*o + 0*g = -g - 4141, -o + g + 1379 = 0. Is o prime?
True
Let z = 34 - 31. Suppose -2*k = 5*g - 20012, -3*g = -z*k + 6219 + 23820. Suppose 0 = 16*n + k - 71467. Is n a prime number?
False
Let w = 103900 - 53831. Is w a prime number?
True
Let l = 16697 - 9201. Is ((-24)/16)/(7484/l - 1) a composite number?
False
Let f be 28/168 - (-34)/12. Suppose 4*m + 6152 = 4*k, -2*k + 4*m + 7695 = f*k. Is k a prime number?
True
Let i(v) = -v**3 + 86*v**2 - 144*v - 374. Is i(57) prime?
True
Suppose -4*b - 10 = -z + b, 25 = 4*z - 5*b. Suppose g + 2 = -z*j, -4*j + 3 = 4*g + 11. Suppose -3*l = -2*n - 103, 2*n - 83 = -3*l - j*l. Is l a prime number?
True
Let i(g) = -899*g**3 - g**2 + g + 2. Let a = 107 - 196. Let l = -90 - a. Is i(l) a prime number?
False
Suppose 3*z - 323801 = -n + 23631, -463273 = -4*z + 3*n. Is z composite?
True
Let z be -27 - -9 - (-14)/2. Is (12 + z)*129*29/3 a composite number?
True
Suppose -2*d = -3*k + 2939, -8*d + 4881 = 5*k - 7*d. Let o = -90 + k. Is o prime?
True
Suppose 0 = 45*d - 47*d - 4*m + 22, 0 = -d - m + 15. Suppose 26*z + d*z - 382635 = 0. Is z prime?
False
Let t = 60 + -62. Is 60/15 + (5378 - -1) + t prime?
True
Let u(l) = l**2 - 9*l + 14. Let b be u(7). Is (8 - -1552) + b - 1 a composite number?
False
Suppose 10349 = 4*z - 17775. Is z prime?
False
Suppose -65 = -11*o - 615. Is (-370)/o + -7 + (-52413)/(-5) a prime number?
False
Let g = 477205 + -144644. Is g composite?
False
Suppose 13552766 = 41*z + 693280. Is z a prime number?
False
Suppose -48 = -19*n + 47. Let a(r) = 436*r**2 - 2*r - 37. Is a(n) prime?
True
Is ((-14830659)/(-228))/((-6)/(-8)) prime?
True
Suppose 16*s - 36*s + 25180 = 0. Is s a prime number?
True
Suppose -6 = -s, 0 = 6*q + 33*s - 37*s - 73890. Is q a prime number?
False
Suppose -t = 5*j - 2*t - 700552, 0 = 5*t - 15. Is j a prime number?
True
Let g be 97 - 5678 - 3/((-3)/4). Let d = g - -10088. Is d a prime number?
False
Let c(r) = 37621*r**2 + 61*r - 119. Is c(2) prime?
False
Suppose 8*n + 3260 - 8876 = 0. Suppose -2108 = -17*l + 14*l - 5*b, n = l + b. Is l a prime number?
True
Suppose -13769 = -3*r + 29413. Suppose 3*y - 43112 = a, 2*a - 7*a = -y + r. Is y a composite number?
False
Let f be -4 + ((-9480)/(-50))/((-2)/(-180)). Let k = f + -8547. Is k prime?
True
Is 33 + 4085 + -1 + -12 a composite number?
True
Let m be (0 + 23)/((-1)/(-3)). Let o = 2499 - 2396. Let c = o - m. Is c composite?
True
Is 60/(-48) - (1406211/(-12) - 4) a composite number?
True
Is (4/((-48)/(-5793)))/((-5)/(-2540)) prime?
False
Let y be (6714/(-12))/((-2)/4). Suppose r = 4*h + h - y, -h = -5*r - 243. Is h a prime number?
True
Let i(k) be the second derivative of 2623*k**4/12 + 3*k**3/2 - 11*k**2/2 - 154*k. Is i(2) composite?
False
Suppose 0 = a + 2*w - 61777 - 181814, 0 = 2*w + 6. Is a a prime number?
False
Let l = 7042 + -4320. Is l a prime number?
False
Let a be (-1 + (-115)/10)*24. Let g = a + 142. Let x = g - -461. Is x composite?
True
Let n = 580389 - 260012. Is n composite?
False
Suppose 10 = 5*h + x + x, x - 5 = 2*h. Suppose h = -2*t - 4*n + 58, 5*n = -3*t - 32 + 120. Suppose 506 + t = u. Is u composite?
True
Suppose 2*k - 125 = 3*d - 2469, -k - 1174 = -2*d. Let v = k + 2901. Is v a composite number?
True
Let m be 15808 - 12/(1 - 3) - 4. Suppose 0 = -6*u + 74736 + m. Is u a composite number?
False
Let h(k) = -60*k - 1. Let z be h(1). Is (z + 2)/(3 + -4) prime?
True
Let b(j) = j**2 + 6*j - 24. Let p be b(10). Suppose -669 = -10*t + 7*t. Let g = p + t. Is g prime?
True
Let k(v) = -v**3 - 20*v**2 - 20*v - 47. Suppose 24 = h - 0*z + 4*z, -2*z + 6 = -h. Let p be 1 - 23 - (-4 + h). Is k(p) composite?
False
Let b = 20246 + -637. Is b prime?
True
Let k(d) = 77*d**2 - 4*d - 26. Let r be k(-6). Suppose 2*g = -3*l + 9227, 2*g - r = l + 6469. Is g prime?
False
Let y = 7495 - 5414. Is y a composite number?
False
Let v be ((-44)/66)/((-1)/42*-4). Let i(j) = 93*j**2 + 20*j + 90. Is i(v) prime?
True
Is ((-12)/(-81)*-9)/(4/(-209427)) a prime number?
True
Let m(h) = 7*h**2 - 3*h + 1. Suppose 6*d - 6 + 0 = 0. Let p be m(d). Let u(t) = 28*t**2 - 6*t + 7. Is u(p) a composite number?
False
Let y(o) = 8710*o**2 + 48*o - 69. Is y(4) prime?
True
Suppose 97*g - 112*g + 532815 = 0. Is g a composite number?
False
Let l = 23349 - 6472. Is l composite?
True
Let b be ((-30)/70)/(1/(-7)) - 6. Is (-5)/(-5) + b - 1645/(-1) a composite number?
True
Let y(k) = 39*k**3 - 5*k**2 - 5. Let d = -179 + 183. Is y(d) composite?
False
Suppose -294804 - 93428 = -54*s - 118394. Is s a composite number?
True
Suppose -36*u + 286 = -23*u. Suppose u*q + 2711 = 200645. Is q a prime number?
False
Let r(v) = 301107*v**2 - 105*v - 1. Is r(-1) a composite number?
False
Suppose f = -f + 40. Let r(d) = d**3 - 22*d**2 + 50*d - 15. Is r(f) composite?
True
Suppose -28637641 = 142*b - 243*b. Is b a composite number?
False
Suppose 10*g = 6*g. Suppose -20*r + 19*r + 2 = g. Is (-18728)/(-28) - r/(-14) prime?
False
Suppose 39*i - 481578 - 408911 = 270892. Is i a composite number?
True
Suppose 0 = -5*r - u + 27, -5*u - 32 + 5 = -2*r. Suppose -r*g + 6 = -4*g. Suppose 3*n - g*d = 1002, -2*n = -5*n + 4*d + 1005. Is n a composite number?
False
Let g(r) be the second derivative of r**5/20 + 3*r**4/4 + 4*r**3/3 + 17*r**2/2 - r. Is g(-4) prime?
False
Let z(d) = -d**3 - 9*d**2 - 13*d + 9. Let y be z(-7). Suppose -l + 4*i = 10 + 3, 5*l + y*i = 23. Suppose -211 = -t - 5*u, l*t + 0*t - 577 = -u. Is t composite?
False
Is 1637/(-6548)*(-1)/(-1 - (-473813)/473812) a composite number?
False
Let m = 157123 - -160980. Is m prime?
True
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