 6. Suppose -3*j + 3004 = 4*m, -2*m - 4*j + 1094 + x = 0. Is m a prime number?
True
Let z(p) = 2*p - 10. Let b be z(7). Is 543 - (3 - b - -3) composite?
False
Let p(k) = k + 2. Let u(m) = -m - 1. Let s(v) = -6*p(v) - 5*u(v). Let o be s(-7). Suppose 0 = -0*x + 2*x + 2*w - 160, o = -x + 3*w + 76. Is x a prime number?
True
Is 1291 - (-5 + 5)*1 prime?
True
Let y(s) = 5*s**2 - 29*s - 7. Let k(j) = -j**3 - 4*j**2 + 3. Let w be k(-3). Is y(w) prime?
True
Let m(x) = x**3 - 7*x**2 + 6*x - 6. Let s be m(7). Let v = 781 - s. Is v composite?
True
Suppose 3*c - 126 = 6. Is (1727/c)/((-1)/(-4)) prime?
True
Suppose 24*p = 9*p + 11805. Is p prime?
True
Suppose -27*v + 55333 = 3*f - 32*v, -4*v = -3*f + 55337. Is f a prime number?
True
Suppose -3*x - 1078 = -4780. Let l be 4/26 - (-19143)/39. Let v = x - l. Is v a composite number?
False
Let y = 25395 - -12644. Is y a prime number?
True
Let y be (-197)/1 - (-6)/(-2). Let h = -129 - y. Is h a prime number?
True
Suppose 0 = u - 2*q + 3, 0 = 4*q + 3 - 19. Suppose 2788 = 2*n - u*y, 2*n - 2432 - 358 = 4*y. Is n composite?
False
Suppose 0*b = 3*b - 6. Suppose 222 = -5*n - b*k, 3*k = -2*n - 80 - 11. Is (-9)/3 + n/(-2) a composite number?
False
Suppose q - 3590 = -302. Suppose 0 = 8*u - 4856 - q. Is u composite?
True
Suppose -31 = 2*s - 5*c, -5*s + c = 5 + 15. Let a(w) be the third derivative of 7*w**5/15 + w**4/24 + w**3/3 + 2*w**2. Is a(s) a prime number?
True
Suppose 0 = -2*z - 3*z - 1155. Let q = z + 578. Is q composite?
False
Suppose 0 = 3*l - y - 30, l - 3*l - 3*y + 9 = 0. Let b = 11 - l. Suppose 3*p + 2*w - 114 = 0, 5*p + b*w - 190 = 5*w. Is p composite?
True
Let k(g) = -311*g**2 - 2*g - 27. Let w(x) = 156*x**2 + x + 13. Let f(p) = 4*k(p) + 9*w(p). Let y(t) be the first derivative of f(t). Is y(2) a composite number?
False
Let s(z) = -41*z - 9. Suppose 0 = 4*w + 4, 18 = -4*i - 2*w - 8. Let j be s(i). Suppose 6*h = 5*h + j. Is h a composite number?
True
Suppose -115*l = -120*l + 22735. Is l a prime number?
True
Suppose -5*t = -2*p + 943, -3*t - 6 = 9. Suppose -w + p = -736. Is w a prime number?
False
Let g = 1519 + -806. Is g composite?
True
Is (-2)/5 + (-318)/90*-147 a prime number?
False
Suppose 0 = -2*z + 2, 2*s - 13 = -0*s + 3*z. Suppose -o + 3 + s = 0. Suppose -3*x - o - 4 = 0, 0 = -4*k + 3*x + 403. Is k prime?
True
Suppose -1 + 81 = 5*l. Let t(o) be the third derivative of -o**5/60 + 25*o**4/24 + 19*o**3/6 + 5*o**2. Is t(l) composite?
False
Let a(m) = 3*m**2 + 9*m - 11. Let q be a(-14). Let y be (2/(-4))/((-3)/13314). Suppose 4*o - 3*o - 3*v - q = 0, -5*o - 3*v = -y. Is o a composite number?
True
Suppose 2*z + 5*g = g, -3*z + 4*g = 50. Is (-22414)/(-35) - 6/z a composite number?
False
Suppose 4183 + 40523 = 6*m. Is m a composite number?
False
Suppose 9*d - 12532 = 5*d. Suppose 0 = -3*t + 5*x + d, 0 = -0*t + 2*t + 4*x - 2052. Suppose 2*v + 2*v = t. Is v a composite number?
True
Let a(b) be the first derivative of 94*b**3/3 + b**2 - 15*b + 4. Is a(-4) a prime number?
True
Suppose -5*x - 2*m + 5501 + 524 = 0, 3*x - 3606 = -3*m. Suppose 4*d + x = 5*o, 32 = -o + d + 274. Is o prime?
True
Suppose 3*t + 5*y = -8, -12 = -t + 5*y + 12. Suppose t*a - 12654 = p, -5*a + p - 4205 = -20022. Is a prime?
True
Is (-3 + (-102)/4)*62/(-3) a prime number?
False
Let m(n) = 130*n**2 + 10*n + 49. Is m(-7) prime?
False
Let c = -332 - -199. Let v = c + 342. Is v composite?
True
Suppose -3*u - 5*g = -12966, 2*u = 3*u - 5*g - 4342. Is u a composite number?
False
Let q = 138 + -70. Suppose 3*o - 5*o + q = 0. Is o prime?
False
Let y be (9/5)/(3/10). Suppose -k + 0 = -y. Suppose -k*r + 37 = -5*r. Is r composite?
False
Let s be (15/(-6))/((-35)/28). Suppose -s*v = v - 5*y - 1574, -4*y = -4*v + 2096. Suppose 482 = 5*c - v. Is c a composite number?
True
Suppose -175 = -5*a - 2*a. Suppose a*s - 27*s = -1382. Is s composite?
False
Let u = -11286 - -32519. Is u composite?
True
Let x = 13226 - 6712. Is x a prime number?
False
Let p(i) = -i**3 + 29*i**2 - 38*i - 39. Is p(27) a composite number?
True
Let x be 4/(-22) + (-40)/22. Let k be 1/(x + 4)*32. Suppose 0 = -4*j + k, c - 4*j - 30 = -3*j. Is c a prime number?
False
Let i(t) = 17*t**3 - t**2 + t. Let m be i(1). Suppose -5*s = -7242 - 14698. Suppose m*l + s = 21*l. Is l prime?
True
Let l be 3/(-4) - 138/(-24). Suppose -l*z - 44 + 279 = 0. Let n = z + 68. Is n a composite number?
True
Let y = -22 - -97. Suppose 0 = -4*h + y + 57. Is h prime?
False
Let f be (0 + 1)*(7 - 4). Suppose -3*d - n - 1021 = -2553, 2*d = -f*n + 1019. Is d a prime number?
False
Let x be (14/5)/((-3)/30). Let n be (-4)/x*2*1393. Let b = n + -175. Is b a composite number?
False
Let j be 6 + ((-22)/33)/(4/6). Is 1/j - (-33838)/35 a prime number?
True
Let m(v) = -4*v - 68 + 2*v + 73 + 3*v**2 - 4*v**2. Let h be m(-3). Is (-83)/(h/6*-3) a prime number?
True
Suppose 4*j + 4*b + 9 = 3*b, -j - b = 6. Let d be j/4 - 51/(-12). Suppose d*l - 4*v = 128, 3*l - 5*v = -l + 123. Is l a composite number?
False
Is 2/3*2217 - 9 a composite number?
True
Suppose -3*x + 3 = -b - 6*x, 4*b + 68 = 2*x. Let a = b + 21. Suppose 2*k + p = a*k - 336, 4*p = 3*k - 239. Is k a prime number?
False
Suppose -4*o + 40 = -0. Suppose p + 8 = 4*j, -4*p = 5*j - o - 0. Suppose j*c = 4*c - 230. Is c composite?
True
Suppose 3*c + 2192 = 7*c. Let v = c - 74. Suppose 0 = -2*y + 4*r + v, -239 = -0*y - y + 4*r. Is y prime?
False
Suppose -23 = -n - 111. Let s = 245 + n. Is s prime?
True
Suppose 1348*z - 122606 = 1337*z. Is z a composite number?
True
Let z(a) = -a + 201. Suppose 5*u = -5*l, 0 = -5*l - 0*l + 4*u. Is z(l) composite?
True
Let i = 24800 + 4323. Is i a composite number?
False
Suppose -4*y + 3805 = 4*t - 4287, -y - 4*t + 2008 = 0. Let s = y + -1189. Is s a composite number?
False
Suppose -20*c = 13*c - 9966. Is c a composite number?
True
Let v(n) = -n**2 - 12*n - 15. Let d = 14 + -24. Let s be v(d). Suppose 0*a - s*q + 80 = 5*a, 0 = 2*a - 4*q - 2. Is a a composite number?
False
Suppose -3*m - 4*q = 10, -m + q - 1 + 7 = 0. Suppose -2*y - 3*s + 289 = 0, 97 = 2*y - m*s - 207. Let b = y - 82. Is b composite?
False
Let m = 1614 + 3713. Is m prime?
False
Let g = 1565 - -332. Is g composite?
True
Let k(d) = -4*d**3 + d**2 + 4*d + 1. Let l be k(-3). Suppose 5*f - l = 329. Is f a composite number?
True
Suppose -6*w = 547 + 11. Let f = w + 614. Is f a prime number?
True
Is 2 - 499*(-2 + 17)/(-5) a composite number?
False
Let c = 1351 + -767. Suppose 0*q + c = 2*q - 2*i, -4*q - 2*i + 1150 = 0. Is q prime?
False
Suppose 8*c = 5*c + 6. Suppose 0 = -5*a - n + 254, n + 0*n = -c*a + 101. Is a prime?
False
Let b(k) = -2*k**3 - k**2 + k - 1. Let y be b(-2). Let j(x) = x**3 - 8*x**2 - 9*x + 2. Let f be j(y). Suppose 4*h + 1 = 21, -n + 123 = f*h. Is n a prime number?
True
Let d(m) = -80*m + 11. Suppose 5*f = 5 + 5, 0 = 2*u - 3*f + 12. Is d(u) composite?
False
Suppose m - 38 = -34. Is 235/(m*3/12) a composite number?
True
Suppose 0*o + 5*o = 20. Suppose 7 = 4*q + 27, -o*i = -2*q + 93014. Is (-2)/7 + i/(-56) a prime number?
False
Suppose 0 = -5*a + 34 + 421. Let u = a + -38. Is u prime?
True
Let y = -26 - -29. Suppose 2*x - y*f + 8*f - 53 = 0, -f - 54 = -3*x. Is x composite?
False
Let i(s) = 11*s + 9. Let p(b) = 5*b + 4. Let v(x) = 3*i(x) - 7*p(x). Let k be v(-2). Suppose -k*r + 395 = 2*r. Is r prime?
True
Let o(m) = 169*m**2 + m - 59. Is o(8) composite?
True
Suppose 7*z - 5*z = -2. Is (11 + z)/(-5) + 241 a composite number?
False
Suppose 4*i + 14 = -6. Is (4/i)/((-8)/740) prime?
False
Let z be 1*-1 - (17 - 16). Is z*(-2045)/(-20)*-2 a prime number?
True
Let w = -195 - -137. Let z = w - -173. Is z a prime number?
False
Let j(f) = -f**2 + 3*f - 15. Let c(d) = -6*d**2 + 14*d - 76. Let z(u) = -2*c(u) + 11*j(u). Is z(12) a composite number?
False
Suppose -3*q + 150 = 45. Suppose -4*d - 3 = -0*u + u, -5*u = -5*d - q. Suppose -117 = -u*m + 538. Is m a composite number?
False
Let n(k) = -k**2 - 15*k. Let w be n(-12). Let c = w - 26. Let v(q) = 4*q + 7. Is v(c) composite?
False
Suppose -7089 = -5*i + 113626. Is i a prime number?
False
Let j(c) = 31*c**2 - 2*c + 21 + 11*c - 2*c. Is j(-5) composite?
False
Let g = -283 + 6804. Is g a prime number?
True
Let b be 1/((-47)/150 + 12/36). Suppose -99 = -h + b. Is h prime?
True
Suppose -3*b = -5*z + 7839, 0*b - 4717 = -3*z - 5*b. Is z composi