
True
Suppose 4*h + x = 267, -12 - 325 = -5*h + 2*x. Is h composite?
False
Suppose 4*d + 500 = 2*p + 3*d, 498 = 2*p - 2*d. Is p a composite number?
False
Let c = 6 - 4. Suppose 0 = -2*w - c*w + 220. Is w composite?
True
Is 418/33*((-102)/(-4) + 0) composite?
True
Let d(u) = -98*u**2 + u + 1. Let k be d(-5). Let c be k/(-14) + (-10)/35. Let l = -48 + c. Is l composite?
False
Let f(o) = 5*o - 1. Suppose 4*t - 13 = 5*q + 13, 4*t - 46 = -5*q. Let y = t - 5. Is f(y) prime?
True
Let t be 38/8 - 6/(-24). Suppose 0*n - t = n, -n - 305 = -2*b. Let c = -73 + b. Is c prime?
False
Suppose -4*b = 2*w - 8530, -5*w - 4*b = -7*w + 8538. Is w a composite number?
True
Let t = 0 - 6. Let k(m) = -m**2 + m - 6. Let y be k(t). Let j = y + 115. Is j a composite number?
False
Let l(n) = 233*n + 54. Is l(7) a prime number?
False
Suppose -2*q - q = -276. Suppose 0 = -0*p - 4*p + 12. Suppose m = -p*m + q. Is m a prime number?
True
Let w(z) = 4*z**3 - z**2 - z + 1. Is w(1) composite?
False
Let y be (-4)/6 - (-140)/3. Let p = -13 + y. Let s = p - -4. Is s a composite number?
False
Let p be -1 + 2 + 12/3. Suppose -p*o - 5*c + 1071 = -c, 4*o + 2*c = 852. Is o a prime number?
True
Suppose 0*x + x - 6 = 0. Is (-1)/2 - (-333)/x a prime number?
False
Is ((-1529)/(-33))/(1/9) a composite number?
True
Let x = -30 + 24. Let h(l) = -l**3 - 5*l**2 - 4*l - 2. Is h(x) a composite number?
True
Let v = 2026 + 433. Is v prime?
True
Suppose -m - m + 14 = 0. Suppose 2*s - m*d + 3*d - 58 = 0, -2*s + 3*d + 62 = 0. Is (s/1)/(2/2) composite?
False
Suppose 8*y = 3*y + 10. Suppose y*b - 7*b = -1015. Let s = -129 + b. Is s composite?
True
Suppose c - 4 = -0*c. Is c a prime number?
False
Let a(y) be the first derivative of -y**2/2 + 11*y + 3. Let h be a(10). Let r = 20 - h. Is r a prime number?
True
Let p(m) = m**3 - 7*m**2 - m + 2. Suppose 0 = -w - 0*w + 7. Let j be p(w). Let g(t) = t**3 + 6*t**2 + 2*t + 4. Is g(j) a composite number?
False
Is (-5)/(-15) + (-220)/(-6) composite?
False
Let z = 6 - -2. Suppose z = k + 2*m, -2 - 6 = -2*m. Suppose 88 = -k*b + 4*b. Is b a composite number?
True
Let t(h) = h - 4. Let j be t(7). Suppose 0 = 3*q - 4*q + j. Suppose -q*l = -2*l - 35. Is l composite?
True
Suppose -13*x + 11*x + 8 = 0. Suppose x*b + b = 2255. Is b a composite number?
True
Let t(q) = q**3 - 9*q**2 + 2*q + 7. Let d(i) = -i**3 + 10*i**2 - 2*i - 8. Let x(w) = -3*d(w) - 4*t(w). Let a be x(5). Is 3723/33 - (-2)/a composite?
False
Suppose 5 = -n + 10. Suppose -290 = -n*y + 515. Is y composite?
True
Let p(l) be the first derivative of l**4/4 + 9*l + 1. Is p(0) composite?
True
Suppose -3*x + 3*b = -75, 5*x - 140 = 3*b - 11. Let i = -3 - -13. Suppose -y = -x - i. Is y a prime number?
True
Is (-1163)/(-4) + 4/16 a prime number?
False
Let u = -87 + 173. Let b = u - -11. Is b a prime number?
True
Let m be 1/(2*2/736). Let i = m - 99. Is i a composite number?
True
Let u = -378 - -743. Is u a prime number?
False
Is 0 + 4 + (-1346)/(-2) a composite number?
False
Let l(f) = f**3 + 12*f**2 - f - 9. Suppose -3*r - 12 = -2*r. Is l(r) a composite number?
False
Let k be ((-15)/(-20))/(2/8). Is (-53)/(k/(2 + -5)) prime?
True
Let q = 6537 - 3100. Is q a composite number?
True
Let z(d) be the third derivative of d**4/8 - d**3/3 + d**2. Let y(m) = 4*m - 1. Let o(v) = 4*y(v) - 5*z(v). Is o(7) a prime number?
True
Is ((-138)/5)/((-2)/5) a composite number?
True
Let k(a) = a + 3. Let w be k(-4). Let t(s) = -s**3 + 0*s**3 + 1 - 5*s**3. Is t(w) composite?
False
Let k(j) = 1. Let x(m) = 15*m - 4. Let l(t) = -3*k(t) - x(t). Is l(-2) prime?
True
Let b be 4/18 + (-2)/9. Suppose -4*v - s + 2*s = 23, 4*v - 3*s + 21 = b. Is (0 + 3)/(v/(-44)) a prime number?
False
Let b be 3/(-2) + (-2)/4. Let o be -5*(b/(-10) + -1). Suppose -5*z = 2*r - 69, -o*z + 0*r + 66 = -2*r. Is z composite?
True
Is ((-2)/3)/((-4)/462) a prime number?
False
Let z(v) = 4*v + 3. Suppose 5*r = 4 + 1. Let t be -12*1*r/(-3). Is z(t) a prime number?
True
Let x = 16 + -21. Let z(o) = -2*o**3 - 7*o**2 - 3*o - 5. Is z(x) a prime number?
False
Let i be (2/2)/(2/(-16)). Let d(c) be the third derivative of -c**4/3 + c**3/2 + 27*c**2. Is d(i) a prime number?
True
Suppose w = -4*g - 1 - 8, g = -5*w + 50. Let i = 48 - w. Is i a composite number?
False
Suppose 0 = 4*s - 12 - 4. Suppose 4*p - 21 = -3*b, 2*p - 21 = -b - s*b. Suppose i - 47 = 3*g + g, 136 = 4*i - p*g. Is i composite?
False
Suppose -2*z + 1662 = i + i, 3348 = 4*i - 2*z. Is i prime?
False
Let m = -112 + 377. Let h = m + -48. Is h a composite number?
True
Suppose 2*t - 1131 = 1439. Is t prime?
False
Suppose 3828 = 4*g - 4*r, -2*r = -g - 3*g + 3832. Is g a composite number?
True
Let j(k) = -k**3 + k + 19. Suppose r - 2*c + 4 = 2*r, 5*r - 4*c = 6. Let y be -1*-1*(r + -2). Is j(y) composite?
False
Suppose -4*q + 696 = 4*j, -q - 4*j - 52 = -214. Let r = 465 - q. Is r composite?
True
Suppose -2*o + 71 + 21 = 0. Let w = o - 81. Let y = 58 + w. Is y composite?
False
Let p be 1/(((-1)/6)/1). Let t(j) = -20*j - 1. Is t(p) composite?
True
Let a = -1552 - -2765. Is a composite?
False
Let r = 11386 - 5889. Is r composite?
True
Let d(t) = t + 2. Let x be d(0). Is 16/x*57/12 a composite number?
True
Suppose 2*b + 201 = z, 4*b + 0*b = 0. Is z a prime number?
False
Let b(x) = -x**3 - x + 751. Is b(0) prime?
True
Suppose 240 + 477 = 3*b. Is b composite?
False
Suppose 5 = -c - 5*k - 4, 0 = -k - 4. Is c a prime number?
True
Is (8 - 7)/(1/118) composite?
True
Let u = 199 + 380. Suppose 3*s + 2*x - 357 = 0, 5*s - 3*x = -x + u. Let z = s + -62. Is z a composite number?
True
Suppose -4*d + 103 = -3*d. Is d composite?
False
Is (233 + 6 + -2)*1 a composite number?
True
Suppose 5*o - 3*g = 45, -3*g = -o + 2*o + 9. Suppose 2*n + 2 = o. Suppose 0 = -4*b + 142 - n. Is b prime?
False
Let v = -4 + -1. Let h be -5*(2 + 0/1). Is v/(h/12) - -1 composite?
False
Let x(d) = -2*d**2 + 3*d - 1. Let r be x(2). Let j(u) = 3*u**2 + 2*u - 2. Is j(r) a composite number?
False
Suppose -h = 1 + 20. Let l = 27 + h. Is l prime?
False
Let h = -5 - -4. Let x(n) = 49*n**3 + 2*n**2 - 1. Let f be x(h). Let q = f + 101. Is q composite?
False
Let n = -15 + 15. Suppose 6*q - 2*q - 2564 = n. Is q a composite number?
False
Suppose -112 = -n + 97. Is n a composite number?
True
Is (-424)/(-4)*(-10)/(-4) a prime number?
False
Let m = 1581 + -1021. Suppose 125 = 5*t - l - m, -t - 3*l + 137 = 0. Suppose 0 = 3*i - 85 - t. Is i a composite number?
True
Let r(n) = 118*n**2 + 1. Suppose v - 19 = 2*v + 5*b, 5*b = 5*v - 25. Is r(v) composite?
True
Suppose -5*a = 2*n - 5*n - 31, -5*n = -3*a + 25. Let z = 41 - n. Suppose -3*p + 5*m + 39 = -z, -p - 1 = 4*m. Is p a composite number?
False
Suppose 2*a = 1 - 147. Let z = a + 112. Suppose 3*f = 138 + z. Is f a composite number?
False
Suppose -10 = 2*s - 3*s. Let t = 4 + s. Let g = t + 45. Is g a composite number?
False
Let r be 2/(1 - 2/6). Suppose 4*j = 3*a + 3, a + 2*a - 2*j - r = 0. Suppose 0*i - a*i = -177. Is i prime?
True
Let m(y) = y**2 - y + 10. Let f be m(0). Suppose -7*w - f = t - 3*w, -2*t = -2*w - 20. Is t a composite number?
True
Let s(g) = 20*g - 37. Is s(9) a prime number?
False
Let d be 9*(119/3 - 2). Suppose -f = 2*f - d. Is f a composite number?
False
Suppose -y + 483 = 3*g + 33, y = 2*g - 295. Is g prime?
True
Let m(g) = g**2 - 7*g + 6. Let k be m(6). Suppose 0 = -5*y + 2*d + 249, -y + 0*d - 2*d + 45 = k. Is y a prime number?
False
Suppose -4*p = -0*p - 8396. Is p a composite number?
False
Suppose -4*p - 16 - 4 = 0. Suppose 3*d = -s - 17, -4*s - 50 = d + 2*d. Let u = p - s. Is u a composite number?
True
Suppose 3*m + 4*b + 12 = 0, 5*b = m - 9 - 6. Is 3 - (2 + m) - -84 a composite number?
True
Let q(l) = 59*l - 4. Let w be q(4). Suppose 5*z - 5 = 5. Suppose -4*h = -4*c + w, -h = -c - z*c + 168. Is c prime?
False
Suppose 0 = -2*q - 1382 + 3948. Is q composite?
False
Is -19*6*(-2)/4 prime?
False
Let k(q) = -q**3 + 2*q**2 + 4*q - 2. Let j be k(3). Let z(c) = -c + 1. Let y be z(j). Suppose 3*v + 4*w - 97 = 0, -5*v + 4*w + 29 + 186 = y. Is v composite?
True
Suppose 2*q - 21 = -2*t + t, 0 = -2*t + q + 22. Is t a composite number?
False
Suppose -l - l + 1542 = 0. Is l a composite number?
True
Suppose -5*b + 170 = -3*m, 20 = -4*m + 2*b - 188. Let z = -19 - m. Is z a prime number?
True
Let a(g) be the first derivative of 1