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Let j(o) = -o**2 + 4*o - 15. Let a be j(7). Let m be a/(-14) + 4/(-7). Suppose -2*g + m*d + 136 = 0, -4*g = 3*d + d - 296. Is g a prime number?
True
Let n be -32209 - ((-10)/2 + (3 - -1)). Let f = n - -46649. Is f a composite number?
True
Suppose -5*q - 4*c + 10 = c, 3*q + 4*c = 3. Suppose -949 = -q*j + 3*p, 0*j + 3*p + 376 = 2*j. Is j composite?
False
Suppose -13435785 = -86*i - 5287027. Is i a composite number?
True
Let f = -81407 - -180684. Is f composite?
False
Let v(s) be the first derivative of 19/4*s**4 - 1/3*s**3 - 13 + s + 0*s**2. Is v(1) prime?
True
Suppose 5*s - 952160 = -5*z, -24*s + 23*s + 2*z = -190414. Is s composite?
True
Suppose -2683685 = -4*l - 3*f, -1210*l + 1209*l + f = -670916. Is l prime?
True
Let p be 39/12 + 15/20. Suppose -2*b + 10 = 2*y - b, -2*b = -2*y + p. Suppose 0*x + 5*z = -4*x + 1988, y*x - z = 2012. Is x composite?
True
Suppose 80*f - 14633975 = 9739177 + 31051888. Is f prime?
False
Let f(m) be the first derivative of -m**4/4 + 7*m**3/3 + 4*m**2 + 2*m + 4. Let z be f(8). Suppose k - 493 = -4*o, -3 = -z*o + 1. Is k a composite number?
True
Let s = -30 + 30. Let w = -67 + 67. Suppose s*q + 3*g = -2*q + 677, 4*q - 4*g - 1344 = w. Is q a composite number?
False
Suppose -2*a + 3*n + 519783 = 0, 519727 = -14*a + 16*a + 5*n. Is a composite?
True
Let j = 156 + 66. Suppose -654 = -2*q + 2*a + j, 4*q = 5*a + 1751. Is q composite?
False
Let o be (14/5)/(-10 - (-32106)/3210). Suppose -2*m + 3*m = -539. Let p = o + m. Is p composite?
True
Suppose -3*i + 12 = 0, -538756 = -4*b + 5*i + 121484. Is b composite?
True
Suppose -5*m - 22 = -2*x, 2*x - 7*x = 5*m - 20. Suppose 235151 = x*y + y. Is y a composite number?
True
Suppose 208*a = 184*a + 592104. Is a a composite number?
False
Let j = 696 - -2921. Suppose j = 3*v - 2791. Suppose -1099 = -5*q + v. Is q a composite number?
False
Let y = -74 + 104. Let f(t) = -y*t**3 + 10*t**2 + 29*t**3 + 6*t + 43 + 4*t**2. Is f(14) a composite number?
False
Suppose 0 = -2*m + 4 + 32. Suppose 0 = -5*d - 0*z + 3*z + 770, -d + 5*z = -176. Let i = m + d. Is i a composite number?
True
Let x = -23 - -44. Let h = 25 - x. Suppose 12 = 3*u, h*n + 0*u - 2*u = 1680. Is n a composite number?
True
Let v be ((-3)/((-27)/(-18)))/((-4)/18178). Let x = v - 3946. Is x a prime number?
False
Is (288/132)/12 - 6526450/(-22) a prime number?
False
Suppose -3*n = -k + 163214, -655787 = -3*k + 2*n - 166096. Is k prime?
False
Let b(h) = 5*h**2 + 10*h + 50. Let n(q) = 4*q**2 + 9*q + 51. Let g(y) = 4*b(y) - 3*n(y). Let t be g(-13). Let f = t - -29. Is f a composite number?
False
Suppose -190867 - 1050549 = -44*o. Let m = o + -13669. Is m a composite number?
True
Suppose -1004 = -4*v + 5*s, -5*v - s + 1268 = -4*s. Let p = v - -2155. Is p a composite number?
False
Let v(m) = 41*m**2 - 27*m + 37. Let r(f) = 20*f**2 - 14*f + 19. Let h(c) = -11*r(c) + 6*v(c). Is h(6) a composite number?
True
Let j = -500886 - -1109321. Is j composite?
True
Let f = -1661 + -2892. Let p = -1812 - f. Is p composite?
False
Let n = -8 - -12. Suppose 0 = -n*a + 4*s + 38096, -3*s + 19069 = 2*a + 2*s. Is a a prime number?
False
Let j(u) = 16128*u**3 + 7*u**2 + 41*u + 4. Is j(3) composite?
True
Let y be ((-9)/(-18))/(2/(-4)). Let i be (-2)/y*(-2 - -4). Suppose -3*z + 154 = i*z. Is z a prime number?
False
Let p = 75620 - -38639. Is p prime?
True
Suppose 64*s - 851045 = -s. Is s prime?
True
Suppose 89*i - 448982 = 85*i - 2*m, 2*m = -11*i + 1234669. Is i composite?
False
Let w be (12141/(-114))/(1/(-76)). Let j = w - -125. Is j composite?
False
Let g(u) = 14767*u**3 - 7*u**2 + 12*u - 5. Is g(2) a composite number?
False
Suppose 32*y + 1438457 + 39445 = 38*y. Is y a prime number?
True
Let m(a) = -7*a**3 - 11*a**2 - 9*a + 21. Let d(r) = -r**3 - r**2 - 3*r. Let z(o) = -5*d(o) + m(o). Is z(-6) prime?
False
Let m(l) = -3819*l - 1901. Is m(-14) a composite number?
True
Let q = 134 - 129. Suppose q*v = -4*a + 4795, -5*a - 930 = v - 2*v. Is v prime?
False
Suppose 3*f + 5*p + 244 = -1710, -2*f - 2*p = 1300. Let b = 2176 - 741. Let a = b + f. Is a a prime number?
True
Let t = 29357 + -64402. Let w = -24408 - t. Is w composite?
True
Let i(z) be the first derivative of z**3/3 + 5*z**2/2 + 2*z - 18. Let r be i(-2). Is 259 + 1 + (r - -3) composite?
True
Suppose 0 = 16*h - 20 - 44. Suppose 5*z = 5*b + 2212 + 6653, h*b = -4*z + 7084. Let i = -261 + z. Is i a prime number?
True
Is ((-3)/3)/((-2 - 1196907/149613) + 10) a prime number?
True
Suppose -2*y - 4*m + 19342 = 0, 8*m - 6 = 10*m. Is y a composite number?
False
Let g(x) = -20031*x**3 - 21*x**2 - 44*x + 17. Is g(-4) a prime number?
False
Let g = -337 + 691. Suppose -21 = -2*o + 5*x, -o + x = 2*x. Suppose 0*z - o*z = -g. Is z prime?
False
Let n be (-1 - 0)*1855/(-5 + -2). Let m = 56 + -54. Suppose m*f - 369 = n. Is f prime?
True
Suppose -3*u + 4*m = -34, -2*m + 1 = -2*u + 23. Suppose 9*q - u = 4*q. Is ((-5)/(-15))/(q*2/4764) a prime number?
True
Let m(a) = a**3 + 9*a**2 - 11*a - 5. Let y be m(-10). Suppose -t + y*c = -5, 5*t + 2*c - 6*c = 4. Suppose t = -2*j + 65 + 9. Is j a prime number?
True
Let f = -116 + 112. Is (-7)/(-14) + (-7394)/f a prime number?
False
Let o be 1 + -5 - (-35 - -31). Suppose x - 3*x - 4 = o, -r + 3*x = -9799. Is r a prime number?
False
Let u = -42 + 46. Suppose -5*t + 18 + 10 = 2*c, -2*t + 3*c - u = 0. Suppose w - 384 = -0*o - o, 359 = o - t*w. Is o a prime number?
True
Let i(o) = 36*o**2 - 2*o - 1. Let r(u) = -3*u**3 + u. Let m be r(-1). Let f be 1/m - 24/(-16). Is i(f) a composite number?
False
Suppose 5*i - 101420 - 172600 + 60905 = 0. Is i a composite number?
True
Suppose 140 = -29*y + 57*y. Suppose 90*q + 4*f + 16666 = 93*q, -y*q + 2*f = -27772. Is q composite?
True
Let k(q) be the second derivative of -4*q - 15/2*q**3 + 0 + 11/2*q**2. Is k(-4) a prime number?
True
Let b = -2177 - -1281. Let t = b - -1254. Let i = -123 + t. Is i a prime number?
False
Let u(z) = 34*z**2 - 4*z - 1. Let g be u(1). Suppose 131754 + 22903 = g*f. Is f composite?
False
Let h(x) = 10*x**2 - 18*x - 7. Suppose -b - 5*d - 17 = 0, -5*d + d - 16 = 2*b. Let z be (-6 - -5)*b*18/4. Is h(z) composite?
False
Let l be -2*(14/(-4) - -2). Suppose j - 4*j - 3 = -l*o, -5*j + o - 25 = 0. Is 2/j + 32708/51 composite?
False
Is ((-26432)/(-60) + (-18)/90)/(2/138) composite?
True
Let y be (12/(-14))/(2/14) - -4. Is y/(-15) - (-112021)/105 a prime number?
False
Let m be (-6)/(-3 - -4 - -1). Is (1187 - -4)*m/(-9) a prime number?
True
Suppose -167*p + 144*p + 4898186 + 6018695 = 0. Is p composite?
False
Let t(n) = -33*n**3 - 41*n**2 - 30*n + 27. Is t(-14) composite?
False
Let z(u) = -11*u + 257. Let q be z(23). Suppose -2*i + 442 = -q*r, 2*r - 1117 = 3*i - 8*i. Is i a prime number?
True
Let d(u) = -148*u**3 - 14*u**2 + 21*u - 14. Let x be d(9). Is x/(-57) - (-2)/(-3) a composite number?
True
Suppose 38*y + 47115 - 92921 = 116492. Is y a composite number?
False
Suppose -2*g = -4*l + 10598 + 36234, -3*l = g - 35124. Is (-1)/((-2)/l*2) composite?
False
Let l(n) = -568*n + 147. Let y be -8 + 0 + (-71 - -62). Is l(y) a composite number?
False
Suppose 4*i = -c + 2*c + 81, -2*i + 4*c + 58 = 0. Suppose -i*d = -48*d + 48053. Is d prime?
True
Suppose 13*y = 3543000 - 40189. Is y a prime number?
False
Suppose 0 = 6*j + 20*j - 182. Let u(t) = 3741*t - 2. Is u(j) a composite number?
True
Suppose 0 = -4*i + 8246 + 3066. Let t = i + -511. Is t a prime number?
False
Suppose -s + 4*c = 14, c = -4*s + 4*c - 56. Let u(p) = -45*p + 109. Is u(s) composite?
False
Suppose -112*u = 14*u - 24855894. Is u a composite number?
False
Let p = 129 - 120. Is (6 + (-168)/p)/(2/(-213)) a prime number?
False
Suppose 0*v + 3*r + 90 = 3*v, 5*v - r - 170 = 0. Is (-16)/(-20) + 1375227/v prime?
True
Suppose 2*k - 8 = -0*k. Suppose 2*i + 14 = -2*a, -k*a - a = 20. Is (7 - 1/(i/(-12)))*337 a prime number?
False
Suppose 2 = -4*p + c, -11*p + 3*c = -8*p + 6. Suppose -5176 = -5*v + v. Suppose p = 26*b - 24*b - v. Is b prime?
True
Let u(j) = -2478*j - 1931. Is u(-28) composite?
False
Suppose 4*l = 2*t - 4*t + 136, -3*l - 143 = -2*t. Suppose j - t = -6*j. Suppose -j*n + 5*n + 11605 = 0. Is n prime?
False
Suppose 20*x - 86184 = 24596. Is x a composite number?
True
Let x(k) = -k - 1. Let m(s) = -2011*s - 2. Let c(i) = -m(i) + 5*x(i). Let f be c(1). Suppose 0 = -5*b + b + 3*u +