e
Let w(p) = 4*p**2 - 8*p + 10. Let b be w(2). Suppose -b*k - 15769 = -47399. Is k prime?
True
Let t be ((-4)/(-6))/(5/360*6). Is (-1)/(-1)*(10 - -3269 - t) composite?
False
Suppose -42*g = -45*g + 153. Let x(f) = -f**3 - 7*f**2 - 5*f - 6. Let d be x(-5). Let z = g - d. Is z composite?
True
Let x(i) = 272*i - 15. Let y = -10 + 14. Is x(y) composite?
True
Let m(z) = -13*z - 2. Let s be m(-2). Let t be (1 + s)*2/(-2). Is (-2)/(-10) + (-3 - 46245/t) a composite number?
False
Let h = 193 + -146. Suppose 53*v - 17598 = h*v. Is v prime?
False
Suppose 0*v + 5*w = 2*v - 25, 0 = 2*v + 4*w + 2. Suppose -4*p + v*p = -148. Is ((-3)/2)/(6/p) composite?
False
Let w = -875 - -7625. Suppose -3*j = w - 20469. Is j prime?
False
Suppose 42*k + 41*k - 66*k - 8789731 = 0. Is k composite?
False
Suppose -2*v = -v + 4. Let j be ((-52)/39)/((-1)/(-2454)). Is (j/(-12))/(v/(-6)) composite?
False
Let v(p) = p - 2*p + 0 + p**2 - 10. Let z be v(-15). Is (1 - 4)/(-6)*z prime?
False
Let l be ((80/24)/(6/(-9)))/1. Is 5779*(l - (7 + -13)) a composite number?
False
Let d(y) = -y**3 + 12*y + 27. Let a(u) = u**3 + 2*u**2 - 31*u - 6. Let w be a(5). Suppose 9*r + w = 8*r. Is d(r) a prime number?
False
Let x(w) = w**3 - 9*w + 1. Let l be x(-4). Let f = 3 - l. Is (f/12)/5*(831 - 1) prime?
False
Suppose 38*o - 30*o = 8888. Let m = 997 - 1527. Let v = o - m. Is v prime?
False
Suppose -40*t = 4713 - 33. Is ((-60)/27 - -2) + (-510965)/t prime?
False
Let u = -78457 + 460368. Is u composite?
False
Suppose 4*f = -5*m + 7*m + 112812, -3*f + 5*m = -84623. Is f prime?
True
Let p(o) = 55*o**2 - 99*o - 3743. Is p(-56) composite?
False
Suppose 6*r = 2*r, r = 4*c - 7616. Let i be 5 + 2*(-1)/1. Suppose -i*q + c = 467. Is q prime?
True
Suppose -9*u - 325548 = -1557882. Suppose -3*o + u = 9*k - 6*k, 4*k = -3*o + 182573. Is k a prime number?
False
Let c(t) = 34*t**2 - 10*t + 21. Let k be c(6). Let r = k - 550. Is r - (0 + 4/4) a prime number?
False
Is (-2)/8*(-481371 + 143) prime?
False
Let g = 10161 - -184648. Is g prime?
True
Let q = -704 + 711. Is 53350/q - 6/14 prime?
True
Suppose -17*r + 4257308 = 21*r + 6*r. Is r composite?
False
Let q be 2 - ((-260)/(-25) - (-12)/20). Is (q/6)/((-15)/53230) composite?
False
Let z be 4/20 + (-102)/(-15) + -3. Let f(b) = -129*b - 43. Let h(q) = -387*q - 130. Let n(u) = z*h(u) - 11*f(u). Is n(-12) a prime number?
False
Let k(q) be the first derivative of -9 + 1/4*q**4 - 6*q + 0*q**2 + 8/3*q**3. Is k(9) prime?
False
Let o = -119 - -127. Suppose 3*q - 12 = g, 3*q = q + 5*g + o. Is (-971)/(-2) + q/32*12 composite?
False
Let f(p) = -p**2 - 9*p - 21. Suppose k - 4*v = -11, 0 = 3*k + v + v + 19. Let d be f(k). Let l(q) = q**3 + 11*q**2 + 13*q + 22. Is l(d) composite?
False
Suppose 15662594 - 22928556 = -271*o + 28519317. Is o a prime number?
True
Suppose -91*b + 96*b = -85. Let a(q) = q**2 - 21*q - 23. Is a(b) a composite number?
True
Suppose -2*d + 19197 = u, -4*d - 28*u = -32*u - 38400. Is d composite?
True
Is (-2 - -2020880)/18 - -8 a composite number?
False
Suppose 23 = 2*f + 11. Is (28515 + 36)*(8/f + -1) a composite number?
True
Suppose 31274 = 8*c - 176286. Is (6/15)/(2/c) a prime number?
True
Let x = 64 + -58. Let c be x/(-21) - (-45980)/14. Suppose -4*h - 4*v + c = -412, -4*h + 3706 = 2*v. Is h prime?
True
Suppose -28*x - 7*x + 161315 = 0. Let k = x - -94. Is k prime?
True
Let f be 2 + 11 + -1 + -8. Suppose f*p + 4*p = 18888. Is p composite?
True
Let h(b) = 36 + 284*b + 2*b**2 - 3*b**2 - 282*b. Let y be h(-5). Let r(c) = 1839*c + 8. Is r(y) composite?
False
Let h(r) = 190*r**2 + 42*r + 515. Let k be h(-10). Let a = 27 + -9. Is (-4)/(-24) + k/a a prime number?
True
Let d = 87117 + -61306. Is d a prime number?
False
Let t be (5 - 4)/(2/230). Let c = t + -32. Suppose 87*f - c*f - 1028 = 0. Is f prime?
True
Suppose 15 = -6*r + 15. Suppose -2*n = -r*n - 8. Suppose -n*g - 4390 = -6*g. Is g a prime number?
False
Let f = -184 + 1209. Let c = f - -1514. Suppose 0 = 2*d + 3*z - 1277, -4*d + 4*z = 7*z - c. Is d a prime number?
True
Suppose -3*o + 799 = -1016. Let i be -4 + 2 + 1 + (o - -5). Suppose -116 = -5*g + i. Is g a composite number?
True
Let f(a) = -114*a**3 + 8*a**2 - 5*a - 1. Let m be f(-4). Suppose 0 = 6*s - 9*s + m. Is s composite?
True
Let k(p) = -1202*p**3 + 2*p**2 + 38*p + 37. Let g be k(-1). Let f = -682 + g. Is f a composite number?
False
Let v = -131 + 125. Is ((-933)/v)/(2/68) prime?
False
Let q(y) = -5*y - 13. Let n be q(-6). Let z(i) = -6*i + 52*i**3 + 4*i**2 + 56*i**3 - 110*i**3 + n. Is z(-6) a prime number?
False
Let b be 4444/(-66)*6/(-4). Suppose -4*g + 378 = -5*z, 2*z = 17*g - 18*g + b. Is g a composite number?
False
Let m(s) = -54286*s - 5287. Is m(-21) a composite number?
False
Suppose 2*a - 5*n + 2986 = 192476, 4*a + 4*n - 379036 = 0. Suppose -14*h - h + a = 0. Is h a prime number?
True
Suppose -302*m + 279*m + 4871883 = 0. Is m a composite number?
True
Let a(n) = 3*n**2 - 2*n + 2. Let y be a(2). Let d(o) = o**3 - 8*o**2 - 19*o - 6. Let q be d(y). Is (342 + 5)*(q - 3) a prime number?
True
Suppose k + 679885 = 3*k + 3*k. Is k prime?
True
Suppose 5*n + 3*r = 15 - 80, -n + 2*r - 13 = 0. Let v(a) = -a**2 - 10*a + 31. Let s be v(n). Let u(l) = -l**3 - 2*l**2 + 10*l - 11. Is u(s) prime?
True
Suppose 73 - 57 = -2*j, -5*w = j - 730077. Is w a prime number?
False
Let g(d) = 352*d + 72. Let v be g(-9). Is 1/(-2)*(v/8 - -5) a prime number?
True
Is 1*(-4437309)/(-27) + (-12 - 1650/(-135)) a composite number?
True
Let s = -32 + 32. Suppose s = 13*o - 17*o - 20212. Let y = -3416 - o. Is y prime?
True
Is 39 - -251192 - 7/((-21)/36) a composite number?
True
Let f(b) = 70*b**3 - 14*b**2 + 244*b + 17. Is f(9) a prime number?
False
Let j(m) = -m**3 + 13*m**2 - 20*m + 70. Let y be j(12). Is 3016 - (0 + -3 - (-28 - y)) composite?
True
Suppose -3*b = -4*x - 20, -10*x + b - 12 = -6*x. Let s be (-1 - x)*(4 - 2)*134. Suppose -s*o = -270*o + 4306. Is o composite?
False
Let d be 72/60*(-10)/(-4). Suppose -d*p - 28 = -p - 5*c, -16 = 5*p + c. Is -4 - 3012/(p/1) composite?
True
Suppose -q = -3*f - 55384, -4*q - 18085 = 3*f - 239636. Is q composite?
True
Let l(f) = -527*f**3 + 10*f**2 + 88*f + 46. Is l(-15) a composite number?
False
Let l = 19786 - 11984. Let i = l - -11147. Is i a composite number?
True
Let a = 9 - -35. Let b = 53 - a. Is (6942/b - 1) + (-12)/9 a prime number?
True
Let w be (-2)/(-4 - (-12534)/3134). Suppose -w = 280*d - 282*d. Is d composite?
False
Suppose -5*h + 15 = -30. Let c(n) = -n + 7*n - 4*n**2 + 22*n**2 - 14 + 45. Is c(h) a composite number?
False
Let h(u) = 17*u - 113. Let y(n) = -6*n + 38. Let l(c) = -3*h(c) - 8*y(c). Let m be l(8). Let g(d) = 7*d**2 - 8*d - 14. Is g(m) prime?
False
Let z(a) = 531*a**2 + 1. Let d be z(-2). Suppose 7*v = 13892 - d. Is v composite?
True
Let t = 49899 + -21110. Is t a prime number?
True
Suppose 6*y - 3*y = -3*c - 282, -3*y - 188 = 2*c. Let o = c + 98. Is ((-671)/(-1) - 2) + o/1 a composite number?
False
Suppose 3*b - 89*g - 241485 = -91*g, -3*b + 5*g = -241506. Is b prime?
False
Let o = -90 - -93. Let v(l) = 2*l**o - 2 - 3*l - 168*l**2 + 160*l**2 - 1 + 4. Is v(6) composite?
False
Let x(y) = 2*y**2 - 15*y - 1702. Let s be x(34). Let p = -121 - -56. Let u = p + s. Is u a composite number?
True
Suppose -4*w + 41 = 3*f, -f = -16 + 13. Let a(z) = 37*z**2 - 35. Is a(w) a prime number?
True
Suppose 11 + 29 = 2*j. Let d = j - 14. Is (-2996)/(-10) - d/10 a composite number?
True
Let s(j) be the first derivative of j**3/3 + j**2 - 3*j - 9. Let c be s(-3). Suppose c*u - 2*u + 254 = 0. Is u prime?
True
Let d = 312721 + -151874. Suppose 25*c = 139328 + d. Is c a composite number?
False
Let c be 1255 - 8/(0 + 4). Let i = 29 + -23. Suppose v = -i*v + c. Is v a composite number?
False
Suppose 0 = 2*s - 3 + 3. Suppose s = -2*q, -7*q + 3*q + 199226 = 2*u. Is u/207 + (-2)/9 prime?
False
Suppose 714*x - 711*x - 15 = 0, -3*x = 5*m - 2672660. Is m a composite number?
False
Let o(y) be the third derivative of y**6/120 + 7*y**5/30 + 3*y**4/8 - 17*y**3/6 - 17*y**2. Let t = 18 + -30. Is o(t) a prime number?
True
Let r(b) = -b**3 + 23*b**2 - 10*b - 2. Let f be r(-14). Suppose 1397 = 3*l - f. Is l a prime number?
False
Is 5*(-54)/30 - (2 - 123984) composite?
False
Suppose 5*n = -4*w - 259955 + 2602912, 0 = -n + w + 468595. Is n a composit