e
Let w(k) be the first derivative of k**4/4 - 67*k**3/6 - 43*k**2/2 + 10. Let o(j) be the second derivative of w(j). Is o(19) a prime number?
True
Let a(g) = g**3 - 2*g + 2. Let f be a(0). Is f/20 + 156545/50 prime?
False
Let w(f) = 882*f + 341. Is w(16) a composite number?
True
Suppose -4*b = 4*y - 20, -b - 1 = 2*y - 4*y. Let j(v) = -42*v**2 + 111*v**y - 3 + 4*v + 143*v**2. Is j(2) a prime number?
True
Is 126 + -124 - (-358810 + 1) a composite number?
False
Let m = 1773307 + -959148. Is m prime?
False
Let q(f) = 33 - 73 + f**2 + 0*f - 18*f. Let c be q(20). Suppose c*g - 16446 = -6*g. Is g prime?
True
Suppose 6*v - 70977 - 2385 = 0. Is v prime?
True
Let v(g) = -g**3 - 26*g**2 - 74*g - 118. Is v(-27) a prime number?
True
Let m(r) = r**3 + 86*r**2 + 176*r - 136. Is m(-83) composite?
False
Let g(w) = 22*w**2 + 2*w - 7. Suppose -43 = b + p, -b = -2*p - 3*p + 19. Let x = b - -35. Is g(x) composite?
False
Is (35 - 36) + (-30)/(-26) + (-8749282)/(-26) a prime number?
False
Let z(w) = 1123*w**2 + 207*w + 999. Is z(-5) composite?
True
Suppose 33195 = 13*q - 25227. Let v = -1705 + q. Is v prime?
True
Let f = 88 - 96. Let p(y) = -18*y**3 - 3*y**2 + 34*y - 25. Is p(f) prime?
False
Suppose -2*l - d + 169070 = 0, -4*l - 5*d = -356541 + 18389. Is l composite?
False
Suppose 5*w - 63 = -43. Suppose -5*n + w*p = -13893, 3*n - 5*p + 5544 = 5*n. Is n composite?
False
Let w(h) = -2*h**3 + 180*h**2 - 295*h + 98. Is w(87) composite?
True
Let s(a) be the second derivative of a**5/20 - a**4/4 + 5*a**3/6 - 16*a**2 + 17*a. Is s(11) a composite number?
False
Let x(k) be the third derivative of 683*k**4/4 + 4*k**3/3 + 114*k**2. Is x(1) composite?
True
Let h = 274971 + 4772. Is h a prime number?
False
Is 1*-2*(356935/20)/(6/(-12)) a prime number?
True
Let c = 261 + -1443. Let u = 3465 + c. Is u a composite number?
True
Let p = 188 + -183. Suppose -p*u = 4*n - 511, -5*n + 0 = 5. Is u a prime number?
True
Suppose -6*t = 4*c - 4*t - 20, 0 = -2*t. Suppose 2*r - 16 = -2*s, 4*r = 4*s - c*s + 35. Suppose 8*l + 763 = r*l. Is l prime?
False
Suppose 10426 = 5*u - 4*u + 2*d, u - 2*d = 10414. Suppose 25*j - u = 21*j. Is j prime?
False
Let m(v) = 23201*v + 610. Is m(45) composite?
True
Is ((-21256605)/(-60))/(3/2)*(19 + -17) a prime number?
True
Let n = 124386 - -75705. Is n a prime number?
False
Let v(c) = c**2 - 10*c + 44. Let s be v(8). Suppose s*l - 27*l - 6469 = 0. Is l a prime number?
True
Let g(x) = -9960*x**2 - 30*x + 3. Let y(j) = 4980*j**2 + 17*j - 2. Let r(l) = -4*g(l) - 7*y(l). Is r(-1) composite?
True
Suppose i + 2*k - 474 = 13, 5*i + 2*k - 2427 = 0. Suppose -897 = -2*y + i. Is y a prime number?
True
Suppose -b + 1 = 2*g, 22*b - 23*b + 8 = -5*g. Suppose 3*y - 3848 = -b*k + 2770, 2*k - 6 = 0. Is y a composite number?
False
Let k(c) = 3*c**3 + 17*c**2 + 9*c + 15. Let w be k(-11). Let g be w/6 + (-25)/75. Is 16 + -13 - (-1 + g) composite?
True
Let z(k) = 6*k + 2*k - 9*k - 7 + 16. Let b be z(-16). Let l(v) = 73*v + 76. Is l(b) composite?
False
Suppose -30737 = -q - 14*g + 16*g, 3*q = -5*g + 92211. Is q prime?
False
Let l = 126376 - 39749. Is l prime?
True
Let k(j) be the first derivative of -3*j**2/2 + 20*j + 22. Let n = 3 - 9. Is k(n) composite?
True
Let p(y) = 2*y - 2. Let w be p(-6). Let v(h) = -909*h + 35. Let g be v(w). Suppose -11252 = -11*n + g. Is n a prime number?
False
Let u = -24276 + 55363. Is u a prime number?
False
Let q(h) = -107629*h**3 + 7*h**2 + 6*h - 1. Is q(-1) a prime number?
False
Let s(b) = 393*b - 85. Suppose 3*l - 35 = -3*r + 4, -5*l - 2*r = -62. Is s(l) composite?
True
Let m = -935 + 614. Let l be m + 7 + (3 - 0)/(-3). Let a = 94 - l. Is a composite?
False
Is 9451/4 - 8/4 - (-105)/420 composite?
True
Let m = 641 + -335. Is -6 + 6 + -7 + m composite?
True
Suppose 177044 = q + t, -739*q = -736*q - t - 531152. Is q a composite number?
True
Let m be (40/(-12) + 3)*21*1. Let i = 2 - m. Let a(c) = 216*c - 1. Is a(i) a composite number?
True
Let w(a) = 84*a**2 - 5*a - 3. Suppose -24 = -2*c + 22. Let r = c - 27. Is w(r) composite?
False
Let b(c) be the second derivative of -141*c**5/20 - c**4/4 + 13*c**3/6 + 5*c**2/2 + 70*c + 1. Is b(-4) a prime number?
True
Let z(j) = 1482*j**3 - 4*j**2 + 10*j - 14. Is z(2) composite?
True
Suppose -2256107 = 7*b + 10*b - 11437144. Is b a composite number?
False
Let p(n) = n**2 - 5*n - 3. Let c be p(4). Let j(r) be the third derivative of r**5/15 - r**4/2 + 13*r**3/6 + 166*r**2 - r. Is j(c) prime?
True
Suppose -4*o - t = -2*o - 5, 5*o - 32 = 4*t. Let i be ((-48)/60)/(o/10). Is ((-4)/24*-3)/(i/(-5524)) prime?
True
Let y(b) = 3*b + 251. Let x be ((-1)/2)/((-7)/238 - 0). Suppose 0 = 18*c - x*c. Is y(c) composite?
False
Let g = -989 + 665. Is (-235069)/(-12) + 27/g a composite number?
True
Let s = -105 - -69. Is (-154751)/(-34) - (s/8)/3 composite?
True
Let o(m) = 42032*m**2 - 176*m + 6. Is o(2) a composite number?
True
Suppose 2*c + 0*m - 26 = -3*m, c = -2*m + 15. Suppose c*f - 940 - 22699 = 0. Is f composite?
True
Suppose 2*s - 13373 = -5*u, 12*s - 11*s + 4*u - 6691 = 0. Is s a prime number?
True
Suppose 9*t - 297087 = -12*t. Suppose -9*h + 2*h = -t. Is h prime?
False
Suppose 2*w + 4*x = 73486 + 173180, -3*w = -2*x - 369983. Is w a prime number?
False
Suppose 4*p + 14 = -2*f, -11 + 1 = 5*f + 5*p. Let w(x) = 5895*x**2 - 8*x + 8. Is w(f) a prime number?
False
Suppose 3*g - 16 = -5*b, 2*b + 4*g = -8 + 6. Suppose 13820 = 3*a - b*s - 8783, 4*s + 30148 = 4*a. Is a prime?
True
Let a(l) = 3064*l**2 - 112*l - 94. Is a(15) composite?
True
Let n(p) = -4*p - 4*p**2 + 13 + 77*p**3 + 56*p**3 + 63*p**3 - 195*p**3. Suppose 0 = -4*c + 33 + 7. Is n(c) prime?
False
Suppose 50 = 4*u + 26. Suppose -5*a + u = -14. Is 0/a - (-3 + -666) composite?
True
Let r be 184/(-16)*(-28456)/(-2). Is (r/(-184))/(2/40) composite?
True
Let g(t) be the first derivative of -375*t**2/2 + 44*t - 119. Is g(-5) a prime number?
False
Let i = 586753 - -91804. Is i a prime number?
False
Suppose -20*u + 87*u = 1485380 + 1827971. Is u a composite number?
True
Let d = 3 - -7. Let t be (-384 - -2)/(-3 - 125/(-45)). Suppose u + t = d*u. Is u a prime number?
True
Let q = -4051 + 7740. Suppose q = 5*f - 4766. Is f prime?
False
Let m = -62690 + 99737. Suppose -5*v + 46325 = 2*r, -4*v + 6*r + m = 5*r. Is v a composite number?
True
Suppose 3*v - 8900 = -j + 121547, 4*v - j = 173920. Is v composite?
False
Suppose -34 = 2*a + 6*k, 5*a + 36 + 5 = -4*k. Let h(l) = 49*l**2 - 12*l - 23. Is h(a) a prime number?
False
Let f(v) = -2806*v + 43. Let i = -135 + 132. Is f(i) a composite number?
False
Suppose 0 = 4*g - 16. Suppose 1 = g*a - 15. Suppose -a*c + 1169 = -3*c. Is c prime?
False
Let t = -867228 + 1497323. Is t a prime number?
False
Is 13 - (13 - -2) - -87585 a prime number?
True
Suppose -15*v + 11*v - 2500 = 0. Let p = v + 1181. Suppose -4*u + p = -208. Is u a composite number?
False
Let q(o) = 29049*o + 79. Is q(3) a composite number?
True
Suppose 40396 = 113*h - 455109. Is h composite?
True
Let h = -979 - -989. Let g be 265/((3/(-21))/(-1)). Suppose -h*q = 305 - g. Is q prime?
False
Suppose 8 = d - c, 3 + 1 = -2*d - 2*c. Let u = 9 - 9. Suppose -d*q - g + 37 = u, 2*g = 3*q + 3 - 28. Is q composite?
False
Let w = 6396652 + -3561383. Is w prime?
True
Is 5247359/13 - ((-24)/30)/(6/45) a composite number?
False
Let h(d) = -27*d**2 + 174*d - 5. Let s(q) = q**2 - 3*q + 1. Let f(n) = -h(n) + 2*s(n). Is f(24) a composite number?
False
Let h = -17541 + 41657. Suppose h = 14*o - 482. Is o prime?
False
Suppose -6*w + 4*i + 40 = -2*w, -w + 30 = 4*i. Let h(g) = 14*g**2 - 45*g + 15. Is h(w) prime?
True
Let p(x) = 12*x**3 - 4*x**2 - 16*x - 12. Let d be p(-8). Let s = -2341 - d. Is s composite?
False
Let t = -1012 + 64. Let d = t + 2003. Is d a composite number?
True
Let h be 4 + -7 + 5 - (-25 + -3). Suppose -h*n - 113141 = -37*n. Is n prime?
False
Suppose -4*x - 17 = 5*c, 2*c + 3*x + 14 = -3*c. Let d be 3*(0 + 1)*c - 91685. Is d/(-56) + (-2)/7 a prime number?
True
Let f(s) = s**2 + 9*s - 27. Suppose -4*q + 44 = 3*o, -19*o + 14*o - 90 = -5*q. Is f(q) composite?
True
Let m = 5546 - 1291. Suppose -3*i + 6393 = -2*b, -m = 4*i - 6*i - b. Is i prime?
True
Suppose 0 = 3*x + 3*v - 111, 5*x - 5*v - 169 = 66. Is 1193 - (x/11 + (-4)/(-22)) composite?
True
Suppose 69*n - 820172 = 65*n. Is n composite?
Fals