e
Let g(w) be the third derivative of w**6/120 - w**5/12 + 7*w**4/24 - 2*w**3/3 - 2*w**2. Let o be g(4). Suppose -u = -o - 41. Is u a prime number?
False
Let y(s) = 145*s - 22. Is y(7) a prime number?
False
Suppose 1169 = 2*j - 0*j - 5*n, -n = 2*j - 1175. Is j a composite number?
False
Suppose 8 = -l - 3*l. Let u be 1*(-9)/(2 - -1). Is 29 + (0/u - l) prime?
True
Suppose 6 = 3*g - 0*g. Suppose -66 = 5*o - 5*h - 346, -4*o = -g*h - 230. Is o prime?
True
Let l(c) = c**3 + 2*c**2 - 6*c. Let h be -4*(3 + (-51)/12). Is l(h) composite?
True
Let b(m) be the first derivative of 11*m**3/3 - 5*m**2/2 - m - 2. Is b(6) composite?
True
Suppose 0 = -5*u - c + 270, 4*u + c + 3*c - 232 = 0. Is u prime?
True
Let n = 5 + -1. Suppose -m - 159 = -n*m. Is m prime?
True
Is (-330)/(-2) + (17 - 21) prime?
False
Suppose -4*b + 5*j = -21, 4*j = b - 0*j - 19. Let q(s) = -4*s**3 - 2*s**2 + 1. Let a be q(b). Suppose n = 4*h - 148, a*n = -2*n. Is h a prime number?
True
Let k(m) = m**2 + 5*m - 9. Suppose 3*a - 55 = -1. Suppose -8 = c + 4*u, -3*c - a = -u + 6. Is k(c) prime?
False
Is ((-418)/(-8))/((-7)/(-28)) a prime number?
False
Let t(m) = -m**2 + 11*m - 7. Is t(4) prime?
False
Suppose 1716 = 5*b - 2269. Is b a prime number?
True
Suppose 4*g - 202 - 322 = 0. Suppose -62 = -5*o + c, 8*c - 4*c - 16 = -2*o. Let f = g - o. Is f a composite number?
True
Let j = 195 - -70. Is j a composite number?
True
Let i be 12/((42/(-4))/(-7)). Is ((-2)/i)/(5/(-380)) a composite number?
False
Let v(s) = 0*s**3 + 4*s**3 + 3*s - 5*s**3 + s**2 + 1 - 2*s**2. Is v(-4) prime?
True
Is 129 + 5/((-5)/2) a composite number?
False
Is ((-24)/36)/(4/(-5034)) composite?
False
Suppose z + 4 = 3*z. Let f = 5 - z. Suppose f*r - 99 = -0*r. Is r prime?
False
Suppose -5*n + 5*h + 1270 = 0, -n + 3*h = h - 257. Is n composite?
False
Suppose 3*k + 5*s - 2039 = 0, -5*k + 0*s = 5*s - 3385. Is k a composite number?
False
Suppose -d + 2*d = 0. Suppose d = p - 147 - 10. Is p a composite number?
False
Let g = 2 - -1. Suppose -4*m + 6*m - 222 = g*a, -5*m + 555 = -3*a. Is m a prime number?
False
Suppose 0 = -5*l + 3602 + 4723. Suppose -5*p + 4*p = 4. Is l/21 - p/(-14) composite?
False
Let w = -25 + 52. Suppose -2*c - 3 = -w. Is 1/4 + 249/c a composite number?
True
Suppose -2 = -2*x + v - 2*v, -12 = -4*x + 2*v. Is (x/(-4))/(1/(-70)) prime?
False
Suppose -3*w - w + 5*j + 8 = 0, w - 2 = -2*j. Suppose 2*l = w + 2. Suppose -5*u + 3*h = -376, u - 3*h = -l*h + 74. Is u a composite number?
True
Let b(m) = 7*m**2 - 8*m - 2 - 3 + m**3 - m. Is b(-7) prime?
False
Let s = -84 + 140. Suppose 0*f = 4*f - s. Is f prime?
False
Is (-2)/(0 - (-4)/(-1114)) composite?
False
Suppose 5*a - 1399 = 996. Is a composite?
False
Suppose 3*c + 6 = 5*c. Suppose 0 = 2*g + 5*k - 149, -2*g - c*k - k + 146 = 0. Is g composite?
False
Suppose -4*d - u - 272 = 0, 3*d - 7*d + 3*u = 288. Let a = 104 + d. Is a a prime number?
False
Let f(k) = -3*k**3 - 2*k**2 - k + 4. Is f(-6) prime?
False
Suppose -y + 3*y = 758. Is y a prime number?
True
Suppose 30*x - 32*x + 446 = 0. Is x composite?
False
Suppose 5*x + 1 = 6, 3*y - x = 221. Is (-10)/((-78)/y + 1) a composite number?
True
Suppose -194 = 4*j - 670. Is j composite?
True
Is (-17)/2*(2 - 96)/1 a prime number?
False
Suppose x + 2*x + 2960 = 4*k, -3*k = -5*x - 2209. Is k a prime number?
True
Let q be 3/(1 + (-50)/44). Let h = 40 - q. Suppose -g + h = g. Is g prime?
True
Let o = -5 + 99. Let m(l) = -6*l + 9. Let w be m(11). Let z = w + o. Is z prime?
True
Let l = 10 - 10. Suppose -4*y + 1028 = -l*y. Is y composite?
False
Suppose -3*s + 25 = 2*s. Suppose v + s = 2*v. Is (5/v)/(2/106) composite?
False
Let a = -7 + 13. Suppose a*r = 2*r - 96. Is (-12)/(-1)*(-66)/r a composite number?
True
Suppose -5*k + 10 = -5*o, -16 = -5*k - 4*o + 3. Suppose d + 0*d + 18 = -4*a, k*d - 10 = 4*a. Is 6/a*40/(-6) a prime number?
False
Let g = 2525 - 430. Is g composite?
True
Let u(w) = 15*w**2 - 2*w + 1. Let p be u(1). Let c = p + 17. Is c composite?
False
Let p = -8 - -11. Suppose 0 = -0*t - p*t - 27. Let k = 16 + t. Is k composite?
False
Let s = -13 + 9. Let c be (-6)/(-4)*s/(-3). Suppose 0*z - 2*z - 273 = -3*o, c*z + 91 = o. Is o prime?
False
Let d = 1551 + -878. Is d composite?
False
Suppose -5*q = -5*a - 20, -5*a + 4*q = 9 + 7. Suppose a = -4*j + 401 + 51. Is j prime?
True
Let s(o) = -17*o**2 - 7*o + 2. Let p be s(-5). Is 1/(4/(0 - p)) a composite number?
False
Let r(m) = -13*m - 5. Let s = -17 + 15. Is r(s) a prime number?
False
Suppose -4*v = -12, v - 6*v = -d - 12. Suppose -d*m + 46 = -65. Is m a composite number?
False
Let i = -126 - -71. Is i/(-2)*(-18)/(-15) composite?
True
Suppose 7 = 4*z - 5. Suppose -z*c = -0*c. Suppose c = i - 35 - 16. Is i prime?
False
Suppose 3*d = -5*o + 18, 3*o - 7 = -3*d + 5. Suppose 3*t + 765 = o*a, -2*a - 3*t = -299 - 206. Suppose -j + a = j. Is j a composite number?
False
Let o(v) = 6*v**2 - 5*v + 2. Is o(5) composite?
False
Suppose 2*l = 8 - 2. Suppose -293 = -t + l*a, 1529 = -t + 6*t + a. Is t composite?
True
Let p(s) = -s**3 - 3*s**2 - 2*s - 1. Let h be p(-2). Suppose 12 = 4*l - 2*l. Is (1 - h)*l/4 prime?
True
Suppose -12*l - 943 = -9979. Is l a composite number?
True
Suppose -18 = 3*h - 3. Is 37 + (-5)/(h/2) a prime number?
False
Let h = 16 + -12. Suppose -h*k + 2*m + 1026 = 0, k - 212 = -3*m + 48. Is k composite?
False
Suppose -708 = -4*s + 1308. Suppose -4*x + 7*j + s = 5*j, -2*j = -2*x + 250. Is x prime?
True
Let l = 201 - 127. Is l a prime number?
False
Let s = 46 + -7. Is s a prime number?
False
Let q(r) = 128*r - 1. Let z be q(1). Suppose 0*g - g = -z. Is g a prime number?
True
Let w be 9/12 + (-3)/(-12). Let r be 3 + (w - -1 - 2). Suppose 2*l - i - 65 = 366, 636 = r*l - 5*i. Is l composite?
True
Suppose 7*i = -30 + 107. Is i prime?
True
Let v be -2 - (0 - (-123 + -1)). Let i = v + 212. Suppose 2*c = 5*j - 113, 14 = 4*j - 4*c - i. Is j a composite number?
True
Let k = 58 + -39. Suppose 4*y - k = -3. Is y a composite number?
True
Let b(t) = 15*t**2 + t - 3. Let r = 7 + -10. Is b(r) a prime number?
False
Suppose -5*o - 505 = -6*o. Is o prime?
False
Let n = -2359 - -4796. Is n composite?
False
Is 2 + 36 - (-6 + 7) prime?
True
Let y(u) = u**3 + 5*u**2 - 5*u + 12. Let g be y(-7). Let i be (-717)/(-6) + 1/2. Let f = i + g. Is f a prime number?
False
Let l be (6 + -4 + 1)*-31. Let u = 50 - l. Is u a prime number?
False
Let d be ((-10)/3)/(1/(-9)). Suppose 5*p = 5*v - 470, d = v + 4*p - 39. Is v a composite number?
False
Let k(n) = -n + 14. Let w be k(11). Is (w + -2 - 0)*67 a prime number?
True
Let d be (1/(-2))/(1/2). Let n be -12*((-1 - d) + 1). Let z = 31 + n. Is z a prime number?
True
Suppose -3*v = -4*f - v - 62, -3*f - 3*v = 60. Let h = f + 108. Is h composite?
True
Suppose 28*y - 358 = 26*y. Is y a composite number?
False
Let x be (-4)/2*(1 - -1). Is (-258)/x*8/6 a prime number?
False
Let u be 20/6 + 34/51. Suppose 2*y - u*i + 454 = 4*y, 4*y - 917 = -5*i. Is y prime?
True
Let l(b) = 80*b - 9. Is l(6) composite?
True
Suppose 0 = -2*t - 2, -2879 = 2*y - 7*y + 4*t. Suppose -5*b + y = 190. Is b composite?
True
Suppose -2*y - y = 363. Is 0 - (0/(-1) + y) a composite number?
True
Suppose 544 = 2*j - 342. Suppose -2*z - v + j = 0, 3*z + 4*v - 666 = 3*v. Is z composite?
False
Let c(p) = -p**2 + p + 2. Let w be c(2). Suppose w = 3*r + 44 - 158. Suppose -f = -3*f + r. Is f a prime number?
True
Let c = 173 + -54. Is c prime?
False
Let r(k) = -k + 8. Let t be r(6). Is -2 + (t - (-35 + -2)) a composite number?
False
Let y(a) = 29*a**3 - a**2 + 2*a. Let n be y(-2). Let b = -49 - n. Let x = b - 114. Is x a prime number?
False
Let q be 6/4*(-390)/(-9). Let d = 2 + q. Is d a prime number?
True
Let w be (819/(-12))/((-1)/4). Let u = w + -138. Suppose 472 = s + u. Is s a prime number?
True
Suppose 9*c - 13914 + 1863 = 0. Is c a composite number?
True
Let i(x) = x. Let w be i(3). Suppose 0 = -w*d + 2*z + 43, 4 = -3*z + 7*z. Let j = d - -36. Is j a prime number?
False
Let j(a) = a**3 - a**2 - a + 29. Suppose -4*s = x + 16, 0 = 5*s - 2*s + 12. Let t be j(x). Suppose -26 - t = -5*b. Is b composite?
False
Let g = 93 + -24. Suppose g + 75 = 4*y. Let o = y + 82. Is o prime?
False
Let m = 762 + -293. Is m a prime number?
False
Let f = -27 + 19. Let o(j) = -3 - 2 + j**2 + 7*j + 4 + 0*j. Is o(f) prime?
True
Let r =