- 1. Let c(w) = -w - 1. Let q be c(-1). Let a be 1 + (q - 1) + 1. Is y(a) a prime number?
False
Is (-16203)/(-17) - (-4 + (-70)/(-17)) composite?
False
Let u(p) = p**2 + 5*p - 2. Let k be u(-5). Is 13 + -2*k/4 a composite number?
True
Suppose u = -4*u + 15. Suppose u*o + 2*c = 73, 5*c = o - 4*o + 79. Is o a composite number?
False
Let z(q) be the second derivative of q**4/12 - q**3/3 + 2*q. Let s be z(3). Suppose -s*y - 30 = -8*y. Is y a composite number?
True
Let j(u) = 534*u - 7. Is j(4) prime?
True
Let h = 5 - -14. Suppose y - h = 18. Is y composite?
False
Suppose -820 - 3368 = 2*n. Let b = -934 - n. Is (b/(-16))/(2/(-4)) a prime number?
False
Is -1*18/63 + (-26982)/(-14) composite?
True
Suppose -5*r + 8 = -2, -4*c + 3*r + 26390 = 0. Is c a prime number?
True
Let o(k) = -97*k**3 + k**2 + 2*k + 1. Suppose -2*v + 7*v = -5. Is o(v) a composite number?
False
Let g(m) = 118*m**2 - 3. Let t(v) = -v**3 - 10*v**2 - 4. Let h be t(-10). Let p(y) = -235*y**2 + 5. Let j(l) = h*p(l) - 7*g(l). Is j(1) a composite number?
True
Let p(i) = -3*i - 10. Let l be p(-10). Let f = -4 - -7. Is 12/l*45/f prime?
False
Suppose 10 = 5*s - 0*s. Let c(d) = 2*d - 2. Let w be c(s). Suppose w*h - 6*h = -60. Is h prime?
False
Let q = 1 - 1. Suppose 3*r + 5*z - 121 = 0, 2*r - 3*z = -q*z + 106. Is r prime?
True
Let a(o) be the first derivative of -4/3*o**3 - 1 + o**2 + 1/2*o**4 - 3*o. Is a(3) a prime number?
False
Let v be -10*(159/(-6) + 0). Suppose -3*m + 4*y + 82 = -v, 117 = m - y. Is m prime?
False
Let w be (-4)/(-16) - 27/(-4). Let d(a) = a**3 - 11*a**2 + 8*a + 7. Let q be d(w). Let i = q + 239. Is i a prime number?
False
Suppose -b - 112 = -5*b. Suppose 5*t + 39 + b = 2*i, 4*t + 97 = 3*i. Is i a prime number?
True
Suppose 0 = q - 2*q + 99. Suppose 2*x - 3*x + 2*d - 6 = 0, -x - 4*d = 18. Let u = q + x. Is u a composite number?
False
Let o(q) = -4*q + 17. Let y be o(4). Let z be 18*(-1)/((-3)/26). Is -1 - (z/(-2))/y a prime number?
False
Let o(r) = 12*r + 3. Let m = 1 + 7. Let g be o(m). Suppose 2*w + w = -d + g, -5*w = 4*d - 158. Is w a composite number?
True
Let t(d) = d**3 + 10*d**2 - 5*d - 5. Let z be t(-10). Let r = -30 + z. Is r composite?
True
Suppose 4*y = -2*a + 3*a - 114, 4*a = 2*y + 470. Suppose 2*h - 4*l - a = 0, -2*h = l - 51 - 52. Is h prime?
True
Let a(x) = x + 4. Let g be a(-3). Let c(d) = 3*d - g + 2 + 2 - 33*d. Is c(-3) a composite number?
True
Let v = 1 + 2. Let b(z) = 2*z**3 - 2*z - 1. Is b(v) composite?
False
Let s be 4/2 + -2 + -2. Is (-23)/s*(1 - -13) prime?
False
Let i be 5 + -4 + 442*-1. Suppose 4*s + 1896 = s. Let d = i - s. Is d composite?
False
Let n(b) = 8*b - 3. Let w(l) = l**3 - 2*l**2 - l - 1. Let g be w(4). Let q(m) = -57*m + 21. Let x(u) = g*n(u) + 4*q(u). Is x(-4) a prime number?
False
Let u(b) = b**3 + b**2 - b - 6. Let m be u(0). Let f(w) = -28*w - 7. Is f(m) a prime number?
False
Suppose -2*k - 83 = -5*p + 94, 3*p = -5*k - 365. Let t = 253 - k. Is t a prime number?
False
Let x be 21/35 - (-22)/5. Let k = x - 2. Suppose 0 = -z + 4*i - k*i + 291, -4*z + 1170 = -i. Is z a composite number?
False
Let y(c) = 20*c**2 - 5*c - 9. Is y(-4) composite?
False
Let q = 18 + 95. Is q a composite number?
False
Suppose 4*s - 3209 + 181 = 2*w, -4*s - w + 3034 = 0. Is s composite?
True
Is (-1 + -2)*2434/(-6) prime?
True
Let k = -156 + 413. Is k prime?
True
Let f(j) = j**3 - 2*j**2 + 2*j. Let l be f(2). Suppose 12 = -3*z - l*x - 8, -4*x - 20 = 5*z. Let m(u) = -u + 22. Is m(z) a prime number?
False
Suppose -4*l + 8 = -0. Is 2 - (l + -75) - -2 a prime number?
False
Is 1/3 + (-438)/(-9) a prime number?
False
Suppose 4*b - 3 = 9. Suppose b*g - w = -3*w + 50, 4*g + 4*w - 72 = 0. Is g a prime number?
False
Let t be 294/10 + 20/(-50). Is t*2/1 - 3 prime?
False
Suppose 2*g - 5*g = -789. Let p = g - 122. Is p a composite number?
True
Let h(n) = n. Let s(k) = -3*k**2 - 4*k - 6. Let b(f) = -3*h(f) - s(f). Let d be b(-5). Suppose -a - 3*a + d = 0. Is a a prime number?
True
Let b(x) = 3*x**2 - 3*x**3 + 5*x**2 + 4*x**3 - 1 + 4*x - x**2. Suppose -41 + 7 = 4*m + 5*v, -3*v = -m. Is b(m) prime?
True
Let g = 18 + -41. Let d = g - -100. Is d a prime number?
False
Suppose 0*s - 158 = -2*s. Is s a prime number?
True
Suppose -5*u + 4*a - 13 = 2*a, -4*a = 4. Is 175 - (u + 0 + 1) a composite number?
True
Suppose 5*j + 37 - 179 = 4*l, 5*j = 2*l + 136. Is j composite?
True
Let u(c) = 11*c**2 + c. Let h(i) = -i - 1. Let a be h(-3). Is u(a) prime?
False
Let g be (-4)/14 + 1424/(-14). Let b = 148 + g. Is b composite?
True
Let c(q) be the second derivative of -q**5/20 - q**3/3 - q**2/2 + 2*q. Is c(-2) a prime number?
True
Suppose -v = 2*v - 12. Let l(g) = 11*g - 5. Is l(v) composite?
True
Suppose -t + 2*b + 209 = 0, 5*b = -2*t + 4*b + 433. Is t a prime number?
False
Suppose 7*d = 2*d + 5495. Is d composite?
True
Is (22/8)/(6/3048) a prime number?
False
Is -5*2/(50/(-9685)) composite?
True
Let d be 3/12 + 2334/8. Suppose -d = -3*a - 2*t - 96, -a + 42 = -4*t. Is a a prime number?
False
Suppose -2*p - 60 = -214. Is p composite?
True
Let n(k) = k**2 + 113. Let u be ((2 - 2)/1)/(-2). Is n(u) a composite number?
False
Let u(v) be the second derivative of -v**5/10 - v**4/2 - 2*v**3/3 - 5*v**2/2 + 4*v. Is u(-4) prime?
True
Let z(p) = -2*p**2 + 317. Is z(0) a composite number?
False
Let g = 131 - -110. Suppose -2*w = 2*u - 432, -w + 0*u + g = -4*u. Is w a composite number?
True
Suppose 7*c - 371 = 4*c - 5*w, 0 = 3*c - 5*w - 391. Is c prime?
True
Let s(x) = -32*x**2 - x + 6. Let h(n) = -31*n**2 - n + 5. Let v(u) = -5*h(u) + 4*s(u). Is v(2) a composite number?
False
Let i = 2832 - 421. Is i a composite number?
False
Suppose -45*h - 148 = -49*h. Is h prime?
True
Let f(w) = -w**3 - w**2 - w. Let b be f(0). Suppose b*z + 2*z = 0. Suppose 4*p = -3*x + 15, -4*x + 7*x - 3*p - 36 = z. Is x a prime number?
False
Let p(i) = -i**2 - 15*i - 11. Let y be p(-18). Let r = 22 - y. Is r prime?
False
Let t(x) = -9*x**2 - 8*x + 8. Let c(f) = 10*f**2 + 7*f - 7. Suppose -4*k - 2*y + 20 = 0, 2*y + 6 + 4 = k. Let o(z) = k*t(z) + 7*c(z). Is o(2) composite?
True
Suppose 3*a = 2*a + 2. Let h = 6 + a. Suppose -v + 13 = -h. Is v a prime number?
False
Is -14*(-2)/4*(81 - -2) composite?
True
Suppose 0 = 5*y - 4*k - 669, 4*k = y + 2*k - 135. Suppose 2*o - 531 + y = 0. Is o composite?
False
Let q be (4 + -4)/(3 + -1). Suppose -3*u + q*u + 246 = 0. Let c = 119 - u. Is c a prime number?
True
Let f(q) = 6*q - 1. Let i be f(1). Suppose 5*v - 95 = -0*n - n, 3*v = -i*n + 475. Is n prime?
False
Suppose -2*v - 223 = 53. Let d = v - -287. Is d composite?
False
Suppose 12*y + 1011 = 6831. Is y a prime number?
False
Suppose 6*o - 2045 = o. Is o composite?
False
Let i(l) be the second derivative of l**3/6 - 3*l**2 + l. Let v be i(8). Suppose 0 = -v*p + 25 + 1. Is p a composite number?
False
Suppose 0 = 3*z - 26 + 8. Let d(p) be the first derivative of p**3/3 - p**2/2 - 7*p + 6. Is d(z) a prime number?
True
Suppose 0 = -s - b + 4*b + 9, 5*b = s - 13. Suppose s*v - 469 = -70. Suppose 2*g = 5*p - v, 0 = 4*p - 3*g + 6*g - 88. Is p a composite number?
True
Suppose 4*t + 4944 = 4*d + t, t - 4928 = -4*d. Suppose 3*g - d = -4*q, -5*g + 2038 = -2*q + 3*q. Is g composite?
True
Let i = -337 - -174. Let y = i + 312. Is y prime?
True
Suppose -m + 3*m - 2 = -2*a, 5*m = a + 35. Suppose -5*y + 4*o + 60 = 0, -m*y = -y + 4*o - 60. Is (-3)/(-2)*280/y a prime number?
False
Suppose 466 = 4*w - 546. Suppose c + 66 - w = 0. Is c a prime number?
False
Let a(f) = -2*f**2 - 3*f + 1. Let h(q) = -q**2 + q. Let s(r) = -a(r) - 2*h(r). Is s(4) prime?
True
Suppose -216 = -3*b - 0*b - 3*z, 5*z + 208 = 3*b. Is b prime?
True
Suppose 0*n - 782 = -2*n. Is n a prime number?
False
Let n(o) = -81*o - 4. Is n(-7) composite?
False
Let j(b) = -5*b**2 - 3*b + 9. Let s(c) = c + 4. Let k be s(0). Let m(u) = -u**2 + u + 1. Let w(f) = k*m(f) - j(f). Is w(-8) a composite number?
False
Suppose 5*w - 4*m - 2743 = 0, 2*w + 5*m = -3*w + 2770. Is w prime?
False
Let b = -1 + 8. Is b/(((-8)/34)/(-4)) composite?
True
Let r = 192 + 131. Is r a prime number?
False
Is ((-644)/8 + 1 + 0)*-2 prime?
False
Suppose 0*w + 3*w - 6 = 0. Suppose 0 = -5*l - 0*l - 10. Is ((-11)/w)/(l/8) a prime number?
False
Let g(q) = q**3 - 14*q**2 - 10*q. Let w be g(14). Let t = -49 - w. Is t prime?
False
Let w be 2