35. Let l = -205 + 592. Let h = l + d. Is h a composite number?
True
Is 1/(-2) + 62/4 composite?
True
Let c(n) be the first derivative of -n - 2 + 0*n**2 + 23/3*n**3. Is c(-1) prime?
False
Let j(d) = d**2 + 8*d + 14. Let b(a) be the second derivative of -a**3/3 + a**2/2 - a. Let m be b(6). Is j(m) a prime number?
True
Suppose -h = -4*h + 6. Suppose -3*r - m + 270 = h*m, 0 = -r - 3*m + 92. Is r a prime number?
True
Let r = -20 - -12. Let m be (-18)/r + (-4)/16. Suppose -6*j + m*j + 271 = 3*p, j = -4*p + 357. Is p a composite number?
False
Let b(q) = -q**2 - 4*q. Let m(x) = x - 2. Let a be m(-2). Let s be b(a). Suppose s = 3*v - l - 108, 0 = 4*v - 0*l + l - 137. Is v a composite number?
True
Suppose -534 = -3*n - 2*u, -3*n + 96 + 438 = -u. Suppose 7*v = 5*v + n. Is v prime?
True
Let s(v) = -2*v - 3. Let b be s(-3). Suppose -28 = 4*z - 3*l - 390, 269 = b*z - l. Is z prime?
True
Suppose 4*a - 41 = 3*z, 5*z = -5*a + 2*a + 9. Let b be (-41 - 3)*(-6)/a. Let y = b - -44. Is y prime?
False
Let h(j) = -j**3 + 2*j**2 + 5*j + 7. Let n(g) = g**2 - g. Let m(q) = h(q) + 6*n(q). Is m(7) composite?
True
Let f(r) = -3*r**3 - 2*r. Let g be f(-4). Let c = 437 - g. Suppose c = 4*y + 89. Is y a composite number?
False
Let c(o) = -2*o**3 - 5*o**2 - 14*o - 1. Let i(t) = -t**3 - 3*t**2 - 7*t - 1. Let x(b) = -3*c(b) + 7*i(b). Is x(-5) prime?
False
Let q(k) = -118*k - 23. Is q(-9) a prime number?
True
Let l(d) = 48*d. Let b be l(1). Let q be b/10 + 2/10. Suppose 0*p = 3*a - q*p + 6, -a - p + 6 = 0. Is a prime?
True
Let w(n) = 251*n**2 + 1. Let q be w(1). Suppose -50 = 2*m - q. Let t = m + 44. Is t composite?
True
Suppose 0 = -a + 3*a - 1090. Suppose 5*z + a = 5*j, 4*j - 460 = -3*z + z. Is j a composite number?
False
Let a = -527 + 8812. Is a a composite number?
True
Let l(p) = 2*p**2 - 3*p. Suppose 4*r = h + 2, -h = 3*r - 40 + 7. Let x = h - 13. Is l(x) prime?
False
Let i(l) = 417*l**2 - 3*l - 2. Let x be i(-2). Suppose -5*n - j + x - 555 = 0, n = 2*j + 219. Is n composite?
False
Let x(f) = f - 10. Let n be x(12). Suppose 5*u - 85 = 5*s, -3*u - n*s = -s - 39. Is u prime?
False
Suppose 0 = 2*w + 22 - 848. Is w a prime number?
False
Is 1*(1063 - 2)*1 prime?
True
Suppose -6*n = -4*n - 276. Let b(p) = -p**2 + 2*p + 1. Let z be b(-6). Let y = n + z. Is y composite?
True
Let m(h) = -h**3 - 2*h**2 + 2*h - 3. Let n = 2 - 5. Let u be m(n). Is -2 - -4 - (-75 - u) a composite number?
True
Is ((-1 - -2) + 0)*(1190 + 1) composite?
True
Let i = -35 - -15. Suppose 1346 = -z - 2*z + v, 0 = -2*z - 5*v - 869. Is (z/15)/(4/i) a composite number?
False
Suppose -2*b = 5*v + 15, -2*b + 5*b - v = 20. Suppose b*a = 2*y + 179, 2*a - 5*y = 14 + 45. Is a a composite number?
False
Let n(a) = -a**3 + 15*a**2 + 5*a - 17. Is n(15) composite?
True
Let v = 1997 - 1198. Is v composite?
True
Let p be (-30)/(-2)*10/(-25). Is 2/p + (-2656)/(-12) composite?
True
Suppose 7*b + b - 1304 = 0. Is b composite?
False
Suppose -i - 221 = -4*a, -a + 52 = -3*i - 6. Is a prime?
False
Let c(f) = -30*f**3 + 2*f**2 - 1. Let v(h) = -h**3 + 3*h**2 + h - 4. Let s be v(3). Is c(s) prime?
True
Let m be 2/5 + 46/10. Suppose -m*j + 0*i + 187 = 4*i, 3*j + 4*i = 117. Is j a prime number?
False
Let u(a) = 12*a + 2. Is u(1) composite?
True
Suppose -3*k = -2*s - 3*s + 3, -3 = 5*s + 3*k. Suppose 0 = z, s*l - l - 3*z + 97 = 0. Is l prime?
True
Suppose -3*r - r = -12. Let k = -3 + r. Is (-1 - -2 - k)*13 a composite number?
False
Let c(t) = t**2 - t - 5. Let g be c(0). Let b = 25 + g. Let l = b + -10. Is l a prime number?
False
Suppose l - 5 = -k, l - 2*l + 11 = -5*k. Let z = 7 - l. Is z/(-4) - (-39)/12 composite?
False
Let s = 717 + 2554. Is s a prime number?
True
Suppose -4*p = -9*p + 355. Suppose -307 = -4*f - p. Suppose f = -d + 2*d. Is d composite?
False
Suppose 3*o - 351 = 174. Suppose -4*v + o = v. Is v prime?
False
Let s = 3446 - 1629. Is s composite?
True
Suppose 0 = 4*k + l - 1 - 14, 6 = 4*k - 2*l. Suppose 2*d + 6 = 5*f, f + 4*d - 5*d = k. Suppose 37 = h - f*h. Is h a composite number?
False
Suppose 0 = -3*t + 2216 + 301. Is t prime?
True
Suppose 4*l - 264 = -x, 7*l - x = 9*l - 134. Is l a prime number?
False
Suppose 7 + 3 = 5*a. Suppose -a*j + 280 = -90. Is j composite?
True
Let u(j) = 2*j**3 + 4*j - 1. Let g be u(-3). Let s = g - -106. Is s composite?
True
Suppose 2*x = -3*x - 10. Is 1264/12 - x/3 composite?
True
Let f(o) = -3*o**3 + 7*o**2 + 6*o - 1. Let w(k) = -13*k**3 + 29*k**2 + 25*k - 5. Let m = 0 + -2. Let a(q) = m*w(q) + 9*f(q). Is a(5) a prime number?
False
Let t(w) = -w**2 + 11*w - 8. Let f be t(10). Suppose -x - 10 = -f*x - 3*k, 0 = -x + 5*k + 18. Is x composite?
False
Suppose 4*z - 4*r + 0 = -4, 0 = -3*z + 4*r - 4. Let i(d) = d + 293. Is i(z) composite?
False
Let i be 2/(-1) - (2 - -19). Let l = i - -60. Is l prime?
True
Let i(t) = -3*t**3 + 10*t**2 - 11*t - 21. Is i(-11) a composite number?
False
Suppose 2*x = -3*f + 1003, f - 4*x + 682 = 3*f. Is f prime?
True
Let y = -2006 + 3517. Is y a prime number?
True
Let v(l) = -3440*l + 2. Let t be v(1). Is t/(-24) - 2/8 a composite number?
True
Let y be ((-2)/(-4))/((-2)/(-12)). Is (-2)/(-2)*y - -86 a prime number?
True
Suppose -3*b = 5*p - 2284, -5*b = -5*p + 2953 - 653. Let d = -201 + p. Is d prime?
True
Suppose -15*n = -10*n - 2015. Is n prime?
False
Let t(w) = 3*w + 13. Let x be t(10). Let i = 6 + x. Is i a prime number?
False
Let z(v) = -155*v**3 + v**2 + v. Suppose 3*m - 2*m = -1. Is z(m) prime?
False
Let n be (2/(-3))/(4/(-24)). Suppose o + 5 = n*j, -23 = -o - 4*o - 4*j. Suppose -5*u + 475 = -0*h - 2*h, o*u + 3*h - 306 = 0. Is u composite?
False
Let g(b) = b + 2. Let j be g(4). Let s = 39 - j. Is s composite?
True
Suppose 0 = 3*j - 2*j + 4*m + 12, m + 24 = 5*j. Suppose 5*l = j*l + 67. Is l prime?
True
Let c(i) = i**2 + 5*i + 8. Let v be c(-8). Suppose 3*h = v + 79. Is h composite?
False
Suppose 4*y - 3*y = 4*l - 1674, -834 = -2*l + 2*y. Is l a composite number?
False
Suppose -5*f + 0*f + 275 = 0. Is (-3014)/f*(-5)/1 composite?
True
Suppose -514 + 63 = -s. Is s a prime number?
False
Let y(u) = 2*u**2 + 4*u - 3. Let m be 20/(-6) - (-8)/(-12). Is y(m) composite?
False
Let g be (-41)/(-4) - 3/12. Let t be 2*(g/4 - 1). Suppose -t*s + 4*s = 49. Is s a composite number?
True
Suppose 4*x - 699 = -3*w, -w + 174 = 2*x - x. Let q = 248 - x. Suppose -p + 62 = -q. Is p a composite number?
True
Let j be (-5)/2*98/(-35). Suppose 4*z + 1221 = j*z. Is z prime?
False
Let v = 5 - 2. Suppose 66 = 6*m - v*m. Is m a composite number?
True
Let z(y) = 174*y + 31. Is z(7) prime?
True
Let k be ((-6)/4)/(3/(-4)). Is (1 + -2 + k)*53 a prime number?
True
Let w(z) = z**2 - 9*z + 3. Let g be w(9). Suppose 0 = -2*b - 6, -4*y + 18 = g*b - 73. Let t = y - -6. Is t a prime number?
True
Let c(h) = 4*h**2 + h + 3. Let k be c(-5). Suppose -3*n + k = -31. Let f = n + -22. Is f a composite number?
True
Suppose -2*z + 30 = z. Let y = z + 9. Is y a prime number?
True
Let l be ((8 - -1)*8)/1. Let m = l - 37. Is m a prime number?
False
Suppose -3*s = 2*s - 3065. Is s a prime number?
True
Suppose -1276 = -4*a - 2*x, 2*a + x + 3*x = 650. Is a a prime number?
True
Let j be (10/15)/(2/15). Let c = 2 + 0. Suppose 5*d = -j, c*o + 51 = 3*o - 2*d. Is o prime?
False
Suppose 3*o + 219 = 3*a, -a - 2*o = -4*a + 223. Is a composite?
True
Let j(v) = -v**2 + 9*v + 9. Suppose 10 = 3*p - 11. Is j(p) prime?
True
Let t = 405 + -284. Is t composite?
True
Suppose b + 4*b + 2*a = 10489, -b = a - 2096. Is b a prime number?
True
Suppose -6*d = -3753 - 681. Is d prime?
True
Suppose -2*c + 265 = -r, -2*c - r = 4*r - 247. Suppose -2*o = -q - 0*o + 117, -q - 5*o + c = 0. Is 1*1/1*q composite?
True
Suppose -4*s + 4*l = 3*l + 778, 0 = -2*s - 3*l - 396. Let x = 298 + s. Is x a composite number?
False
Let c(z) = z**2 + 6*z + 6. Let t be c(-4). Let a be (-61 - (3 - 2))*t. Let y = a - 27. Is y a prime number?
True
Is (-23950)/10*(-1 - 0) - 2 a prime number?
True
Is -1*(-2)/(6/561) a composite number?
True
Suppose -j - 228 = 2*p, 5*j - 4*p = -198 - 900. Let c = j - -337. Is c composite?
True
Let p = -13 + 4. Let y = p - -92. Is y composite?
False
Suppose 53 = -3*o - 61. Let r(t) = t - 3. Let s be r(4). Is (o/4)/(s/(-2)) a composite number?
False
Is -1 + (2 + 4136/20)*5 a prime number?
False
Is ((-3438)/8)/9*-4 a composite number?
False
