362. Is z a prime number?
True
Let v(r) = r**2 - r + 1. Let l be v(-2). Let j(g) = g - 4. Let t be j(l). Suppose t*h + h = 100. Is h composite?
True
Let u = 463 - 111. Let n = 561 - u. Is n prime?
False
Let r(m) = 3*m**2 + 4*m**2 + 9 - m**3 + 3*m**2 - 11*m. Let d be r(7). Suppose 4*x + g - 127 = 0, 3*x + 4*g - d = -0*g. Is x a composite number?
True
Suppose -3*j = 2*j + 15. Let q = j + 8. Suppose 0 = -2*t + q*t - i - 96, 0 = -2*i + 6. Is t a prime number?
False
Let k(x) = -98*x + 21. Is k(-11) composite?
True
Let r(z) = -z**3 - 2*z**2 + 5*z - 8. Suppose -2*k + 3*k + 6 = 0. Is r(k) a composite number?
True
Let k = -5 - -4. Let f(v) = 16*v - 1. Let y be f(k). Is y/((-18)/(-21) + -1) a composite number?
True
Let d = 2 - 5. Let v be (-14)/(-4) - d/(-2). Suppose v*w = -3*w + 15. Is w prime?
True
Let k = 3 + -3. Let c be k - 1 - (-72)/3. Let j = c + -16. Is j a prime number?
True
Suppose 5*i + 28 - 513 = 0. Is i a prime number?
True
Suppose -j = -2*k - 0 - 1, 0 = -k + 5*j + 13. Let z be (-34)/(-9) + k/(-9). Suppose 2*r = -2*f + 260, -440 + 71 = -3*f + z*r. Is f a composite number?
False
Let n = -16 + 16. Suppose n*a = -2*a + 318. Is a composite?
True
Let l = 39 - 28. Suppose 7*h + 508 = l*h. Is h a composite number?
False
Let f(i) be the first derivative of -3*i**4/4 + 5*i**3/6 + 3*i**2/2 - 3. Let l(g) be the second derivative of f(g). Is l(-4) prime?
False
Let k be (0 + 1)*1 + 180. Suppose 4*m = 5*f + 2*m - k, -m - 183 = -5*f. Is f a composite number?
False
Let m = 117 - 32. Is m composite?
True
Let u be 10/4 + 2/(-4). Let w be ((-6)/(-9) - u)*-3. Suppose -32 = -5*m + 3*m - 3*n, -5*m - w*n = -94. Is m a composite number?
True
Let n(c) = 15*c**2 + 5*c - 3. Suppose -4*x + 8 = 2*k - 5*x, -2*x = 2*k - 8. Is n(k) a prime number?
True
Let m(y) = y**2 - 8*y. Let a be ((-2)/4)/((-1)/16). Let c be m(a). Suppose c = -w + 2 + 7. Is w a prime number?
False
Let b(w) = 66*w**3 + 4*w**2 - 2*w + 3. Is b(4) a prime number?
True
Suppose 5*b + 7 = -5*g - 3, 3*b = 5*g - 46. Is (-2)/b - 710/(-14) composite?
True
Suppose 5*v = -2*y + 599, -6*y + 244 = 2*v - 3*y. Is v prime?
False
Let v(p) = 7*p**2 - 17*p + 5. Is v(8) a composite number?
False
Let m = -69 - -164. Suppose -3*d = 2*d + m. Is (0 - 0 - 1)*d composite?
False
Is (70 - -4)*(2 + (-316)/(-8)) prime?
False
Let l(v) = 2 + 118*v**2 + 1 + v - 1. Is l(-1) a composite number?
True
Let z(i) = -9*i - 2 - i**2 + 3 + 11*i**2 - i**3. Let v be z(9). Is (-3)/((-75)/66 + v) composite?
True
Let g(h) = -h**3 - h + 9. Let x be g(0). Suppose -8 = a - 3*a. Suppose 0 = a*n - x*n + 275. Is n a prime number?
False
Is 920/25 - 2/(-10) a composite number?
False
Suppose y - 8 = -3*y. Suppose -69 = -y*i + i. Is i a prime number?
False
Suppose -q = q + 12. Let d be (-4)/q*(-3)/2. Is (2 - (d + 2))*89 a prime number?
True
Let k be (-6)/(-21) + 2/(-7). Suppose k*h + 2*h = 470. Suppose -83 = -s + 2*j, -2*s - s = j - h. Is s prime?
True
Suppose -10*r + 7951 + 9579 = 0. Is r composite?
False
Suppose -28 = -2*h - 24. Is h composite?
False
Let n = -98 + 191. Is n a prime number?
False
Let w(r) = 2*r + 3. Let z be w(-4). Let d(i) = -4*i - 11. Let n(m) = -2*m - 6. Let p(v) = 6*d(v) - 11*n(v). Is p(z) composite?
True
Suppose 0 = 5*u + 8*u - 75309. Is u a prime number?
False
Suppose 4*x - 20 = -x. Suppose 4*n + z = 19, x*z + 3 = 4*n - 1. Suppose -4*i + 383 = l, 3*i + n*l - 286 = 3*l. Is i a composite number?
False
Suppose 0 = -v + 4*v + 3*d + 12, 4*d + 10 = -v. Is (508/(-8))/(v/4) composite?
False
Let a(q) = -q**2 - 8*q - 1. Let x be a(-6). Let c = 7 + 3. Let t = c + x. Is t a composite number?
True
Suppose -3*j = -4*j. Suppose -2*f - 203 - 27 = j. Let a = 18 - f. Is a prime?
False
Suppose -5*u + 2*n = -6, 2*u - 3*n = -2 - 0. Let i(t) = t**2. Let x be i(u). Suppose -4*a + 43 = -x*h - 49, -h = 2. Is a composite?
True
Suppose -5*q - 3 = -13. Suppose -q*z = 3*r - 0*z - 1161, -4*r + 1537 = -z. Suppose -5*g - 5*v + r = 0, 0 = -0*g - 3*g - 2*v + 233. Is g a prime number?
True
Let s = 1 - 0. Let z be 0/(-2)*(0 - s). Is 3 - (z - 3) - -1 a prime number?
True
Let u(o) = o**3 + 13*o**2 + 12*o - 2. Let j be u(-12). Let d be (7 - 2) + 0 + j. Suppose -d*c = -64 - 11. Is c prime?
False
Let j = 1731 + -1226. Is j a composite number?
True
Let p = -3 + 1. Let l = p - -5. Suppose -m + l*j + 2 = -4, -4*j = 5*m - 30. Is m prime?
False
Let r(h) = 7*h**2 - 1. Let x be r(-1). Suppose f - 305 = x*f. Let n = 98 + f. Is n a composite number?
False
Suppose 19 = 4*k + 3. Suppose 0 = -4*g + 2 + 10, 3*m - 432 = k*g. Suppose 4*r + 0*r - m = 0. Is r prime?
True
Suppose 4*y = 11*y - 1393. Is y prime?
True
Let g be (-1)/1 + -1 + -1. Let m(x) = -5*x - 4. Is m(g) composite?
False
Let f(l) = 2*l**2 - 4*l - 2. Let j be f(10). Suppose -3*a + j = -175. Is a a prime number?
False
Suppose 2*x = -0*x. Suppose x = -6*h + 2*h + 136. Is h prime?
False
Let d = 501 - 288. Suppose -7*q + 3*q - 5*y = -d, -q - 5*y = -72. Is q prime?
True
Let y(z) = 6*z + 3 + z**3 - z**2 - 2*z**3 - z**2. Suppose 12 = -f - 2*f. Is y(f) a prime number?
True
Let z be 134 + (-2 - (-2 - 1)). Suppose j = 4*j - z. Suppose -j = -6*h + h. Is h a composite number?
True
Let k = -370 + 603. Suppose k = p - 206. Is p a composite number?
False
Let p = -882 - -1577. Suppose 4*x - 556 = -b, 4*b - 2*b = 5*x - p. Is x composite?
False
Let m(t) = 2*t**2 + 2*t - 12. Let f be m(-9). Suppose j = -g + 2*j + f, 4*j = -2*g + 234. Is g a prime number?
True
Let c(k) be the third derivative of 37*k**7/5040 + k**6/180 + k**5/60 + 3*k**2. Let g(t) be the third derivative of c(t). Is g(3) a composite number?
True
Let c(j) = 3*j**2 + 4*j. Let k be 9/(-6) + (-18)/(-4). Is c(k) a composite number?
True
Suppose -3*v + 627 + 330 = 0. Is v a prime number?
False
Let a = -37 + 37. Let u = -1 + 9. Suppose a = 2*f - 3*k - 20, -2*k + u + 12 = 2*f. Is f prime?
False
Let m(j) = j**3 + 2*j**2 - 2*j - 3. Let n be (1/(-2))/(1/4). Let k be m(n). Is k - (1 + 2 + -57) a composite number?
True
Suppose 0 = 2*a + 4*r + 308, r - 4*r = 3*a + 462. Let c be 1/(-3 - 460/a). Let w = c + 110. Is w a prime number?
False
Let n be (-1 - 37)/(2 + -4). Suppose 3*m - t - 42 = -n, 3*t + 21 = m. Is 0 - 1 - (-2 - m) a composite number?
False
Suppose 5*p + 57 = 3*i - 2*i, 4*i - 5*p = 198. Is i a prime number?
True
Let h = -1154 + 1653. Is h composite?
False
Let g be (-8)/(-1) - (-8 + 10). Is (2843 - 2)*g/18 prime?
True
Is (-622)/(-4) - 48/(-32) composite?
False
Suppose 5*f - 4*y = 3, 2*y = -6*f + 2*f + 18. Suppose -148 = -7*b + f*b. Is b a composite number?
False
Let d(l) = 8*l**2 + 7*l - 7. Is d(4) prime?
True
Let c be (1 + 192)/((-3)/(-3)). Let r = -324 - -228. Let u = c + r. Is u composite?
False
Let o = -67 + 190. Let k = o - 30. Is k a composite number?
True
Suppose 2*t + 2*w = 40, -2*t + 10 = -t - w. Is 2110/8 + t/(-20) a prime number?
True
Suppose 13 = -3*l - 0*q + 5*q, 7 = -l + 3*q. Let n(u) = 2*u**2 - 3*u + 1. Let h be n(2). Is l + 35 - h/(-3) a prime number?
False
Is 638/12 - (-3)/(-18) a composite number?
False
Suppose -3*i = -3*h + 2*i + 3147, -h + 1049 = -i. Is h prime?
True
Suppose b = -5*v - 94, -2*v - 5*b = -7*v - 70. Let s be (-196)/(-9) - 4/v. Suppose 71 = 4*t - 5*g, -5*t + s = 3*g - 76. Is t a composite number?
False
Let y(h) = 113*h**3. Suppose x - 3 = -2. Is y(x) a composite number?
False
Let k be ((-20)/3)/(2/(-12)). Let o(v) = v**3 + v**2 - 6*v - 5. Let p be o(5). Let a = p + k. Is a prime?
False
Suppose -2*k - 5*o + 599 = -2*o, 2*o - 1194 = -4*k. Suppose -6*y = -4*y - k. Is y a composite number?
False
Let s = -3 + 19. Suppose 3*v + 4 - s = 0. Is (2 - -65)/(2/v) prime?
False
Suppose 4 = 3*n + 2*d + 3, 0 = 4*n - 5*d + 14. Let l be ((-7)/n)/(3/12). Suppose -5*r = -262 - l. Is r a composite number?
True
Suppose -4*i + 5*n - 777 = 0, 4*n - 42 = i + 166. Is (-10 - -9)*(i + 1) prime?
False
Let y be 14/77 - 26/22. Is y*(-74)/4*2 a composite number?
False
Let p be (4/(-1))/((-4)/278). Let a = p - 87. Is a composite?
False
Let t = 2 + -1. Let l = -10 + 96. Is l + (-2 - -2 - t) prime?
False
Let o(j) = -15*j**2 - 11*j + 2. Let c(h) = -7*h**2 - 6*h + 1. Let y(k) = 7*c(k) - 4*o(k). Is y(-2) a composite number?
True
Let g(c) = -2*c**3 - 14*c**2 - 15*c + 8. Is g(-9) a prime number?
True
Suppose -6*c = 70 - 1288. Is c composite?
True
Let b = -22 + 6. Let r = 81 + b. Is r compo