708 - 2023. Is g a prime number?
False
Let f(u) be the first derivative of u**4/4 + 4*u**3/3 + u**2 - u + 3. Let r be f(-2). Suppose 28 = r*n - 11. Is n prime?
True
Suppose 0*r - 4*g = -2*r + 186, -2*r + 170 = 4*g. Is 3 + (-1 - r/(-1)) composite?
True
Let z = -34 + 39. Suppose -r - 12 = z. Let k(p) = -16*p + 21. Is k(r) prime?
True
Let y(g) = 2*g**2 - 5*g - 3. Let x be y(4). Suppose -4*l - 3*f = -x + 33, -2*l + 4*f = 12. Is 9*(2 + (-10)/l) prime?
False
Let l(x) = x**3 - 5*x**2 + 8*x - 2. Let d be l(3). Let m be (d - (-4 + 5)) + 1. Suppose 5*r + 0*r - m*t - 4243 = 0, 0 = -5*r - t + 4258. Is r composite?
True
Let y(h) be the third derivative of 0*h + 0 - 13/6*h**3 + 17/12*h**4 - 2*h**2. Is y(9) a composite number?
False
Let b(v) = 3*v - 35. Let y be b(14). Is (-8)/4 + y*5 a composite number?
True
Suppose 5525 + 8655 = 4*j. Is j prime?
False
Let f = -5730 + 1717. Let v = -2740 - f. Is v composite?
True
Suppose 3*m - 26982 = 3*i, 227*i = 4*m + 226*i - 35991. Is m a composite number?
False
Suppose 4*t - 80 - 40 = 0. Is 596/12*1/(2/t) composite?
True
Let p(l) = l**3 + 6*l**2 + 5*l + 1. Let g be p(-3). Let v = g + -12. Is 3*v/((-9)/(-327)) composite?
False
Suppose 0 = 6*b - 8*b + 4. Is 4327*(-5 + 4 + b) composite?
False
Suppose 23*x + 3438 = 41*x. Is x a composite number?
False
Suppose -6*d - 81649 = -9*d + 4*t, 2*t - 108836 = -4*d. Is d composite?
False
Suppose 3*x - 6*x = -5*j - 81, 2*j - 2*x = -30. Let y be (-24988)/j + 18/(-81). Suppose -5*v + 437 + y = 0. Is v a composite number?
True
Suppose -8*w + 9390 = 694. Is w composite?
False
Suppose -2 = -4*h + 6. Let b(c) = -1 + 63*c + h - 4 - 7. Is b(9) composite?
False
Suppose -3*o = 4 + 2. Let v be ((-462)/(-2) - o) + -2. Suppose -4*s = 19 - v. Is s prime?
True
Suppose a = 2, -2*j + 3*j - a + 1 = 0. Suppose -c + 2*x = -x - j, -3 = -3*c + 2*x. Is 58 + -1 - 4/c composite?
False
Let m = 36 - 34. Suppose 0 = -m*x + 7*x - 8105. Is x prime?
True
Suppose -51376 = -13*f - 7839. Is f prime?
False
Let z be ((8/(-4))/(-2))/(1/5). Suppose -5*i = -20, 9*x + 2*i - 2016 = z*x. Is x a composite number?
True
Suppose -2*x - 5 + 21 = 0. Suppose -3*y - 5 = -x*y. Let r(w) = 1657*w**2 - 2*w + 2. Is r(y) a prime number?
True
Let u(t) = -294*t**3 - 2*t**2 - t. Let z be u(-1). Let n = z + 222. Is n a composite number?
True
Let j(v) be the third derivative of v**6/120 + v**5/10 - 5*v**4/24 - 5*v**3/2 - 18*v**2. Is j(7) prime?
True
Let c(g) = 100*g**3 + 2*g - 1. Is c(2) a prime number?
False
Let s(p) be the second derivative of -2/3*p**3 + p + 0 - 19/2*p**2 + 1/12*p**4. Is s(-14) a prime number?
True
Let g(u) = -9*u - 19. Let d be -4 - (-2 + (-50)/(-5)). Is g(d) prime?
True
Let p be 42532/42 + (-2)/(-6). Suppose -p + 228 = -5*a. Is a a prime number?
True
Let y = -61470 - -118037. Is y prime?
False
Let x = 569 + 62. Is x a prime number?
True
Let q(j) = -j**3 - 6*j**2 - 15*j - 4. Let k be q(-6). Let d = k - 29. Is d a composite number?
True
Let x = 32 + -32. Is ((-2)/8 - x) + (-9275)/(-28) a prime number?
True
Let m(h) = -4 + 62*h + h**3 - 54*h + 1 - 9*h**2. Let d be m(8). Is 71*((-12)/4)/d prime?
True
Suppose -k + 18299 = -d, k - 5*d + 9543 = 27842. Is k composite?
True
Suppose -9*k + 6*k - 6 = 0. Is (k/(-3))/(4 + 3378/(-846)) prime?
False
Let m(k) = 5*k**2 - 10. Let h(g) = -g + 1. Let v(l) = -2*h(l) + m(l). Is v(9) composite?
True
Suppose 2*b = -o - o + 128, -184 = -3*b - o. Suppose b = x - 25. Is x composite?
True
Suppose 4*a = 3*g - 506517, -4*g + 854747 - 179391 = 4*a. Is g prime?
False
Suppose -3*c + 8 = 4*f - 1, 15 = -4*f + 5*c. Suppose f = 5*h + 5, 2*b = h + 1948 + 1439. Is b a composite number?
False
Let i(j) = 5*j**3 - 11*j**2 + 16*j - 5. Is i(9) composite?
True
Is 6 + (-46270)/(-9) + (-4)/36 prime?
True
Let d(o) = -7 + 14 - 6 - 13*o + o**2 + 4*o**2. Is d(-6) prime?
False
Suppose 5*n + 0*n - 705 = 0. Suppose 650 + n = 7*k. Is k a prime number?
True
Is 39363*(6 + (-119)/21) a prime number?
True
Let s(w) = -681*w - 1. Suppose 0 = -b - 8 + 6. Is s(b) a prime number?
True
Let v = -1 + -5. Let q = -6 + v. Let u = 67 - q. Is u prime?
True
Let s(p) = 3720*p + 685. Is s(10) prime?
False
Suppose -4*b - 4*v = -12, 5*b = -0*b + 3*v + 31. Suppose 20 = b*y, -3*p = p - y - 1872. Is p a composite number?
True
Suppose 49765 = 13*f - 25518. Is f composite?
False
Let n(y) = -y**3 - 2*y**2 - 2*y - 6. Let a(v) be the second derivative of v**4/12 + 3*v**3/2 - 5*v**2/2 - 3*v. Let u be a(-9). Is n(u) composite?
False
Let j(c) = -13*c**3 - 5*c**2 - 15*c - 8. Is j(-5) a composite number?
False
Let m(w) = 9*w**2 + 31*w + 29. Is m(30) composite?
False
Suppose 27 = 5*d + 7. Suppose -2*q + d = 2, -q = -5*v + 904. Is v composite?
False
Suppose 0 = k - 0*k - 2. Suppose -k*n = -253 - 265. Is n prime?
False
Let t(k) be the second derivative of 53*k**4/4 - 5*k**3/6 + 3*k**2 + 3*k. Let u(y) be the first derivative of t(y). Is u(4) prime?
False
Let u(r) = r**3 - 12*r**2 + 14*r - 8. Let h be u(12). Suppose 3*i - h - 134 = 0. Suppose 2*l + 3*k = i, -4*l + 4*k + 181 = -l. Is l composite?
True
Suppose 0 = m - 1257 - 1655. Suppose m + 1332 = 4*f. Is f a composite number?
False
Let r = 32 - 17. Suppose 3*w - 9 = -3*c + c, 5*w - r = -3*c. Let k(g) = -g**3 + g + 55. Is k(c) a prime number?
False
Suppose 0 = -d + 2*n + 12519, -3*n + 13 = 16. Is d a prime number?
True
Let j = 20 - -2. Let n be (-11)/(j/(-12)) - 3. Let m(x) = 24*x**2 + 2*x + 1. Is m(n) composite?
False
Let p(b) = 392*b + 3. Let u(j) be the second derivative of j**4/12 + j**2 + 12*j. Let d be u(0). Is p(d) composite?
False
Let p = 3744 + 48005. Is p composite?
False
Let y(t) = 128*t**2 + 4*t + 3. Is y(14) a composite number?
False
Suppose -2*w - 2*z = 200, -w - 2*z + 3 = 99. Let g = 343 - 28. Let n = g + w. Is n a prime number?
True
Let b(m) be the third derivative of m**5/15 - 7*m**4/24 - 23*m**3/6 - 9*m**2. Is b(10) a composite number?
False
Suppose 0 = -49*v + 44*v + 1005. Is v prime?
False
Suppose -137*i - 1055 = -138*i. Is i a prime number?
False
Suppose -3 = -w, -2*o + 8 = 3*w - 5. Suppose -58 = -o*y - 2. Let n = y - 21. Is n prime?
True
Let u be ((-31)/(-62))/((-2)/(-20)). Suppose -5*p - 11 = -1, 2*h + u*p = 2112. Is h a prime number?
True
Suppose i - 5588 = 3*s, 4*s - 5797 = -2*i + 5429. Is i prime?
False
Let s be (-3 - 35/(-10))/((-1)/(-10)). Suppose -2*y + 2609 = s*f - 0*f, -4*y - 513 = -f. Is f composite?
False
Let t be (4 + 79)/(1 - 2)*-1. Let j = t + -45. Is j a prime number?
False
Let i(o) = -78*o - 14. Let l(c) = -c. Let v(p) = i(p) - 10*l(p). Is v(-6) prime?
False
Let x(i) = -i**3 + i**2 + i. Let b(a) = -3*a**3 - 7 + 5*a + 2*a + a. Let p(v) = -b(v) + 2*x(v). Is p(6) prime?
False
Let s = 2329 - 930. Is s a prime number?
True
Suppose 15*o - 159555 = -0*o. Is o a prime number?
False
Suppose -5*v + 11322 = -3913. Is v a prime number?
False
Suppose -6*f + 7*f + 2 = 0. Let j be -145*((-2)/f + -2). Let s = j + -71. Is s composite?
True
Let m(n) = -2*n + 22. Let p be m(7). Is 321/(36/p - 3) composite?
True
Let w(a) = 87*a + 38. Let o be w(17). Let i = o - -114. Is i a composite number?
True
Suppose 4*x + 10134 = -5*o, -x + 3*o - 2538 = 2*o. Is x/(-32) - 3/12 a composite number?
False
Suppose 0 = -4*u - s - 37, u + 3 = 4*s - 2. Is (33/u - -4)*753 a composite number?
False
Is (((-6)/18)/((-2)/2454))/1 prime?
True
Let o be -2*((-1409)/(-2) - 0). Let r = 627 - o. Suppose -4*s + r - 280 = 0. Is s a composite number?
False
Let q = 6167 + -3498. Is q a prime number?
False
Suppose 4*g - 31 = 1. Suppose -5*p + g*p - 201 = 0. Is p prime?
True
Suppose -3*c = -5*c + 526. Is (3 - -1) + -5 + c a prime number?
False
Let j be 2 + 2 - 3 - 2. Let t be ((-2)/(-4))/(j/(-10)). Suppose 0 = 2*m - 5*w - 0*w - 97, 143 = 3*m - t*w. Is m composite?
True
Suppose 266 = n - 1277. Is n composite?
False
Suppose -3*j + 16 = 5*n - 15, -4*n + 26 = 3*j. Suppose -j*r - 2 = -0. Is -599*(-2)/((-2)/r) a composite number?
False
Let p be 5 + (3 - 3) + 2. Let x(a) = p + 0*a + 3*a**2 + 3*a - 3*a. Is x(-5) prime?
False
Suppose 1 = y - 1. Let k(m) = 3*m**y - 7*m - m**3 + 2*m**3 + 3*m**2 - 3. Is k(-5) prime?
False
Suppose -3*v = w - 3*w + 23578, 5*w - 3*v - 58945 = 0. Is w a prime number?
True
Let p(a) = 3 - 7*a - 5 - 4 - 3. Is p(-4) composite?
False
Suppose -2*k + 4 = -3*a - 2, a = 2*k - 6. Suppose 2*z - 3*z + k*f = -521, 5*f = -3*