
Let g(x) = x**2 - 8*x + 7. Let i be g(9). Suppose 3*m + 4*l - 2*l - 1 = 0, -i = 4*l. Suppose 3*j - m*o + o - 35 = 0, 0 = 4*j - 2*o - 44. Is j a prime number?
False
Is -1842*(1/(-3) + 0) a composite number?
True
Let z(w) = 14*w + 25. Is z(5) prime?
False
Suppose 5*f = 73 - 13. Is 97*1*f/12 a prime number?
True
Is -5*(-1 - 604/10) a composite number?
False
Suppose -3*b = -3*d + 192, -3*b = -d + 2*d - 72. Is d/(-4)*44/(-6) a prime number?
False
Let q = 496 + -189. Is q a composite number?
False
Let q be 1 + -2 + 174*2. Suppose h + 5*c + 0*c = 125, c = -3*h + q. Is h a composite number?
True
Suppose -3*y - 2*m + 115 = -15, -134 = -3*y - m. Suppose 9 = -5*w - 11. Is (w/(-8))/(1/y) composite?
False
Let m = 25 - 23. Suppose 209 = -o + m*o. Is o composite?
True
Suppose -2*s + 175 = 3*y - 0*s, -y = 4*s - 75. Suppose -y = -2*c + 79. Is c prime?
True
Suppose 3*o = -2*o + 10. Suppose 0 = -0*i + o*i - 194. Is i prime?
True
Let x(b) = b + 8. Let r be x(-4). Suppose 2*n + r*q = 50, 1 = -q - 3. Is n a prime number?
False
Let b = -169 - -550. Is b a prime number?
False
Suppose w = -1, -2*l - l + 13 = 5*w. Is 4/l*5835/10 prime?
True
Let r = 2 - 0. Suppose -r*z + 7 = -29. Suppose -2*a = -20 - z. Is a composite?
False
Suppose 3*o = -2*o - 30. Let a = 9 + o. Suppose -f + a*f = 76. Is f a composite number?
True
Let h = -15 - -26. Is h a prime number?
True
Suppose -5*d + 2*o = -8999, -d - d + 3608 = 2*o. Is d a prime number?
True
Let q(u) = 4*u**2 + 2*u - 1. Let t be q(1). Is ((-79)/(-3))/(t/15) prime?
True
Let a(d) = d**3 - 8*d + 4. Let o be a(5). Is o + -1*(-2 + 5) prime?
False
Let z(i) = -2*i**3 - 4*i**2 + i - 16. Is z(-5) a composite number?
True
Let c be ((-9)/(-6))/((-1)/(-2)). Suppose -t + y = 2, c*t + 3*y + 6 = 2*t. Is 13/(1/(4 + t)) composite?
False
Let k(f) = -4 - 2*f - 1 + 1. Is k(-3) composite?
False
Let d(k) = k**3 - 7*k**2 + 2*k - 4. Let o be d(7). Let s(q) = q**2 - 6*q + 6. Is s(o) prime?
False
Let j(g) = 41*g**2 + 34*g + 7. Is j(10) composite?
False
Let n(v) = -17*v + 12. Suppose -20 = -5*t, 4*a - 2*a - 3*t + 22 = 0. Is n(a) prime?
True
Let q(c) = 32*c**2 - 3*c - 2. Is q(-5) a prime number?
False
Let p(f) = f**3 + 7*f**2 + 2*f + 10. Let i be p(-7). Let t be ((-125)/(-10))/(2/i). Is (-1)/4 + t/(-4) prime?
False
Let d(k) = -k**2 + k + 3. Let u be d(0). Suppose 0*g + 439 = 5*g + v, 3*v + 249 = u*g. Is g a prime number?
False
Let j be -1 - (-3)/(6/112). Suppose -t + j = -2*g, 275 = 4*t + t + 2*g. Is t composite?
True
Let m = 37 + -66. Let a = m - -80. Is a a composite number?
True
Suppose -24 + 1 = -5*q - 4*z, -3*q + 4*z + 1 = 0. Is (q + -7 - -1) + 682 a prime number?
False
Suppose -5*t + 3*w = 2*w - 3507, -w - 2 = 0. Is t prime?
True
Let p(g) = 3*g**2 - 5. Let s be (-100)/(-12) - (-2)/(-6). Is p(s) a prime number?
False
Let a = -7 - -10. Suppose 5*f + 57 = a*g, 0*f = f. Is g a prime number?
True
Let w(h) = -h + 11. Let l be w(7). Let o be (5 - l)/(2/76). Suppose -b = -2, -2*c + o = -2*b - 2*b. Is c a composite number?
False
Let n be (-6)/8 - (-12)/16. Suppose n = -q - 4*q + 15. Is (-35)/(-4)*(q - -1) a composite number?
True
Let y be (-3 - 2/1)/1. Is 4632/14 - y/35 prime?
True
Let z = -11 + 3. Let u(w) = 2*w - 3*w + 0 + 6. Is u(z) composite?
True
Let b(j) = -j**2 + 10*j - 6. Let a be b(9). Is ((-2)/6)/(a/(-639)) a prime number?
True
Suppose 2*a + 16 = z - 3*a, -z - a + 34 = 0. Suppose z = 2*l - 11. Is l composite?
True
Let m(n) = -68*n - 1. Let k be 2/2*-1*4. Let i = -5 - k. Is m(i) a prime number?
True
Suppose 1 = 2*r - 5. Suppose 3*w - 5*l - 93 = 0, -2*l = r*w - 0*l - 72. Is w prime?
False
Let j be 2 - (-2)/(2/3). Let c be (-1*j)/(-7 + 6). Suppose -c*n = -v + 29, -v = -2*n - 2*n - 27. Is v composite?
False
Let m be ((-2)/(-4))/(2/(-16)). Let b = m - -4. Suppose n - 25 = -b*n. Is n prime?
False
Suppose 0*o + 80 = 2*o. Suppose 4*r - o = -4*b, -9 = b + 2*r - 23. Is ((-14)/b)/(4/(-60)) composite?
True
Let p(d) = -379*d**2. Let h be p(1). Is 2/(2 - (-756)/h) composite?
False
Is 2/(-12) - 4/(-48)*4166 a composite number?
False
Let m = 661 + -423. Let i = m - -669. Is i a prime number?
True
Let f be 34/10 + 8/(-20). Suppose -5*n = f*d - 742, 3*d + 748 = 5*n - 0*d. Is n a composite number?
False
Let c be 1/(-3) + (-4809)/(-9). Let l be (-2)/5 + (-35)/(-25). Is c/4 + l/(-2) a composite number?
True
Is 114/2 - 2 - -4 composite?
False
Let v = 8 + -5. Suppose -3*r - 141 = -4*r - 4*m, 0 = -v*r - 4*m + 423. Is r a prime number?
False
Suppose 0 = 2*g + g. Let l(h) = h**2 + h + 23. Is l(g) a prime number?
True
Let a(f) = 3*f**3 - 3*f**2 - f + 9. Suppose 3*d - 5*g + 3 = 0, 2*d = -2*d - 4*g + 28. Is a(d) prime?
True
Let c(w) be the second derivative of 19*w**3/6 - w**2/2 - w. Let z = 47 + -45. Is c(z) composite?
False
Let z(g) = g + 1. Let s(m) = 7*m. Let l(k) = s(k) - 6*z(k). Let v be l(8). Let r = 9 - v. Is r composite?
False
Let j(a) be the second derivative of -31*a**3/3 + a**2/2 + a. Is j(-6) composite?
False
Let t = -12 + 7. Let h be (t/15)/(1/(-6)). Is -4 + 2 - h*-4 a composite number?
True
Let s = -190 + 126. Let a = s - -91. Let y = a + 22. Is y a prime number?
False
Suppose 0*c + u + 18 = 4*c, c - 1 = 2*u. Suppose -511 = -c*t - 4*r + 220, -4*r = -2*t + 270. Is t composite?
True
Suppose 4*l - 89 - 219 = 0. Is l a composite number?
True
Let f = -610 + 1079. Is f a prime number?
False
Let w = 1072 - 707. Is w prime?
False
Let p(h) = -119*h + 6. Let x(c) = c - 1. Let r(w) = p(w) + 5*x(w). Is r(-1) a prime number?
False
Suppose 4*n = n + 177. Suppose 177 = 2*w + n. Is w composite?
False
Suppose -9 = -2*x + t, -2*x - 2*x + 4*t = -16. Let f(b) = 0 + x - 3 + 4*b. Is f(2) a composite number?
True
Let q be 22290/42 + 2/7. Is q/15 - (-4)/(-10) a prime number?
False
Let c(w) = -45*w**3 + 4*w + 3. Is c(-2) a prime number?
False
Let o(y) = 12*y - 1. Let v be o(9). Let x = -187 + v. Let g = x + 159. Is g composite?
False
Suppose 5*q - 5*u = -140, 104 = -5*q - 2*u - 2*u. Let i = -13 - q. Is i composite?
False
Let c(y) = -y - 2*y**2 + 2*y - 4 - 2*y**3 + 6*y**2 + 7*y. Let n be c(5). Let w = n + 199. Is w a composite number?
True
Let d = -223 - -334. Is d prime?
False
Let x = 189 + -276. Is -5*(-8)/20 - x prime?
True
Suppose 57 - 740 = -f. Is f prime?
True
Suppose -5*t + 502 + 113 = 0. Is t composite?
True
Let o be (-4)/8 + (-2)/(-4). Suppose 0 = -2*a + 3*t + 295, o = -6*t + 3*t + 15. Is a a composite number?
True
Let s(o) be the first derivative of -o**4/4 - o**3/3 - o**2/2 + 13*o + 5. Is s(0) a prime number?
True
Let t(u) = u**3 + 3*u**2 - 2*u. Let a be t(2). Let k = -10 + a. Suppose -k - 86 = -4*s. Is s a prime number?
True
Suppose -5*l + 2 - 7 = 0. Let j be -1*(-3 + 1/l). Suppose -j*c + 3*s = -s - 40, 0 = 5*c + 4*s - 23. Is c composite?
False
Let q(o) = -2*o - 6. Let w be q(-4). Let r be 12/10*15/w. Is (r/2 - -1)*10 a prime number?
False
Let j(n) = -n**3 + 6*n**2 + n - 2. Let f be j(6). Let p = f + 3. Is p a composite number?
False
Let j(k) = -k**3 - 4*k**2 + k - 1. Is j(-6) a composite number?
True
Suppose 5*p - 16 = m - 2*m, -4*p = 4*m. Suppose -6*u + u + 5*g = -210, 0 = p*u - 5*g - 173. Is u a composite number?
False
Suppose x - 52 - 27 = 0. Is x a prime number?
True
Let x(t) = t**2 - 10*t + 8. Let u be x(9). Let h(z) = -80*z**2 - z - 1. Let g be h(u). Is 1/(-1 + g/(-79)) composite?
False
Suppose 5*i - 2 = -12. Let m(s) = -s + 1. Let o(f) = -1. Let r(d) = 4*m(d) + 6*o(d). Is r(i) prime?
False
Suppose -2*m + 279 = -55. Is m a prime number?
True
Let i be (172/10)/((-20)/(-50)). Let b = i + 12. Is b prime?
False
Let p(z) = 33*z**2 + 5*z - 5. Is p(3) composite?
False
Suppose -q + 572 = -2*u, 1167 = 4*q + 3*u - 1165. Suppose -6*c + 3*c - q = -4*v, 0 = -2*v + 4*c + 290. Is v a composite number?
True
Let q = 6 + 25. Is q a composite number?
False
Let d(c) = 3*c + 4. Let k be d(-3). Let o = 1 + k. Is 5/20 - 87/o a prime number?
False
Let u be -2 + 5 - 0/(-2). Suppose u*h - 6*h = 0. Suppose -5*g - 20 = h, 0*r + 5*g = -r - 1. Is r composite?
False
Suppose -q - 2*q - 3 = 0. Is 52 - q - -1*2 prime?
False
Let a(d) = d**3 - 8*d**2 + 14*d - 15. Let h(w) = 4*w**3 - 31*w**2 + 56*w - 61. Let q(o) = 9*a(o) - 2*h(o). Is q(12) a prime number?
True
Let a(x) = x**3 + 8*x**2 - 21*x - 5. Is a(-9) a prime number?
True
Let s(w) = -w - 1. Let u be s(-7). Let b(x) = -x**3 + 5*x**2 + 7*x + 1. L