 x**4/12 + x**3/6 + x. Let r(j) be the second derivative of g(j). Is r(3) a prime number?
False
Suppose -2*d - 2*d + 5*r = -2, 2*d + 2*r - 10 = 0. Suppose -d*t - 4*g = -275, t - 3*t + 150 = -4*g. Is t a composite number?
True
Let u(d) = d**3 + d**2 + d - 1. Let m(l) = -l**3 + 5*l**2 - 11*l - 9. Let g(i) = -m(i) - 2*u(i). Let z = 9 + -17. Is g(z) a composite number?
False
Suppose 5*w + 5*i = 70, 22 = 4*w + 2*i - 28. Is w a composite number?
False
Let y = 3 - -48. Is y a composite number?
True
Suppose -w + 4*h + 15 = -2*w, 0 = -w - 5*h - 20. Suppose 0 = -r + w*r + 4. Let m = r + 48. Is m composite?
False
Suppose -5*t + 5*z = -770, t + 4*z + 49 = 178. Let d = t + 8. Is d composite?
False
Is (2302/8)/((2 - -1)/12) a prime number?
True
Let h be (-2 + -4)/(9/(-6)). Is -10*h/(24/(-21)) prime?
False
Let b = -4641 - -8838. Is b a composite number?
True
Let s(i) = -8*i + 5. Is s(-6) prime?
True
Let f = 713 + -12. Is f a composite number?
False
Suppose 1561 = 3*k + 124. Is k a composite number?
False
Let y = -10 - -7. Let k(o) = -9*o - 4. Is k(y) a composite number?
False
Suppose l - 141 = 2*q, 3*l + 3*q = -2*q + 412. Is l a composite number?
False
Let p(n) = -28*n - 5. Is p(-16) prime?
True
Suppose r - 2*m - 3*m + 14 = 0, -3*r - 6 = 3*m. Let k = 27 - r. Is k prime?
True
Suppose 3*d + d = -4. Is (d - 0) + (-2 - -152) a prime number?
True
Is 482/(-2)*(1 - 4) composite?
True
Let x(f) = f**2 + 5*f + 7. Let r be -15*(13/(-5) + 3). Is x(r) a composite number?
False
Suppose 8 = 5*v - 2. Let o be (-3)/(v - 5) - -1. Suppose -o*p + 212 = -314. Is p prime?
True
Let v = 312 + -101. Is v a composite number?
False
Suppose -5*m + 3*u - 5 = -2*u, -3*u - 3 = -5*m. Let b(t) be the first derivative of 4*t**3/3 - t - 1. Is b(m) prime?
False
Suppose -4*v = -4*t - v + 97, -4*v = -5*t + 122. Suppose 0*o = -o + t. Is o composite?
True
Let s(h) = -210*h**3 - 5*h**2 - 3*h - 1. Let d(u) = -210*u**3 - 6*u**2 - 4*u - 1. Let j(o) = 5*d(o) - 6*s(o). Is j(1) prime?
False
Let t(n) = 3*n - 2. Let k(x) = 2*x - 1. Let m(q) = 6*k(q) - 5*t(q). Let f(g) = g**2 - 4*g. Let s be f(3). Is m(s) a prime number?
True
Suppose 3*n - 422 = n. Is n composite?
False
Let m(q) = 74*q - 25. Is m(6) a composite number?
False
Let r(u) = u**2 - u + 1555. Is r(0) composite?
True
Let d = 20 + 26. Let z = 38 + d. Suppose 0 = -2*n - n + 3*j + z, 4*n - 2*j = 102. Is n prime?
True
Let l(p) = 6*p**2 - 3*p - 14. Is l(-9) prime?
True
Let k = -959 - -2046. Is k a prime number?
True
Let p(t) be the first derivative of -t**2/2 + 7*t + 2. Let g = 2 + -9. Is p(g) composite?
True
Suppose 5*c - 18 = 2. Suppose -c = -4*n + 4. Suppose -p - 5*m = -19 - 5, n*m + 36 = 2*p. Is p a prime number?
True
Suppose 4*z + 0*m = 4*m - 8, -3*z - 16 = -5*m. Suppose z*l = -l + 5*j + 669, -j = -l + 166. Is l a prime number?
False
Suppose -6*d + 131 = -5*d. Is (d + 3)*5/2 a prime number?
False
Let z(o) = 21*o**2 + 4*o + 3. Let v = -10 + 6. Is z(v) composite?
True
Let s = -3227 + 4636. Is s a composite number?
False
Let r(n) = -28*n + 1. Let c(x) = 28*x - 1. Let j(m) = -5*c(m) - 4*r(m). Let l be j(-4). Let d = l - 56. Is d a composite number?
True
Let l(w) = w**3 - w**2 + w + 37. Suppose -26 = 2*p - 4*p - 5*z, p - 3*z + 9 = 0. Let s be 0*p/(-12)*2. Is l(s) a prime number?
True
Suppose -8 = -n + 3. Is n prime?
True
Suppose 0 = -c + 5*v + 24 + 5, -3*c - 5*v - 13 = 0. Suppose 3*w = c*w + 1. Let n(h) = -78*h**3 - 2*h**2 - 2*h - 1. Is n(w) a prime number?
False
Let h = 148 - -13. Is h a prime number?
False
Suppose -4*t + 1311 = -3*l, -27 = 5*t - 5*l - 1672. Suppose -u - 524 = 2*m - 7*m, -3*m + 3*u = -t. Suppose -5*z + m = -161. Is z composite?
False
Let m(r) = -r**2 + 5*r + 6. Let k be m(6). Suppose k = 5*s + 3*y - 17, 5*y + 1 = -s - 0. Suppose -c + 3 = -s. Is c a composite number?
False
Suppose 5*t = 3*g - 316, -3*g + 8*g + 4*t - 465 = 0. Is g composite?
False
Let d = 309 + -163. Let x be (2/(-4))/(1/d). Let k = 4 - x. Is k a composite number?
True
Let p(f) = -58*f - 5. Is p(-1) a prime number?
True
Let b(x) = -x**3 - 4*x**2 + 2*x + 4. Let g be b(-4). Let v(n) = -3*n**3 + n**2 - 3*n + 3. Is v(g) a prime number?
True
Let i be (4/(-14))/((-1)/7). Is (-11436)/18*(-3)/i a prime number?
True
Let g = 4 + -6. Let j = 6 + g. Suppose 10 = 2*d - j*d, -3*h + 77 = -4*d. Is h a prime number?
True
Let n = 15 - 7. Let t(m) = -m**3 + 8*m**2 + m + 3. Let z be t(n). Suppose -a - 4*j = -37, -z = -5*j + 4. Is a a composite number?
True
Let x be (-20244)/(-27) - (-4)/18. Suppose -5*v + s = -x, 2*v - 278 = -6*s + 2*s. Is v composite?
False
Is (-2)/(-14) + (-924)/(-49) composite?
False
Let d = -4 + 6. Let h be (5/(-10))/((-1)/d). Let z(t) = 78*t**3 - t**2 + t - 1. Is z(h) composite?
True
Let z = -5 - -7. Suppose z*k + 333 = 3*l + 4*k, 2*l - k - 215 = 0. Suppose -l + 20 = -g. Is g a prime number?
True
Let j(v) = -v**2 + 5. Let a be j(0). Suppose -2 = -3*l - 11, -a*t - 15 = 5*l. Let y(i) = -i + 35. Is y(t) a composite number?
True
Suppose 5*u - 10*u + 1345 = 0. Is u composite?
False
Let w be (((-1029)/(-14))/21)/(2/8). Suppose -12 = a - 5*a. Suppose -o - a = -w. Is o a prime number?
True
Suppose 2*q - b - 509 = -q, 0 = -3*q - 3*b + 501. Is q a prime number?
False
Suppose 0 = -y - 0*y - 4. Let r(k) = -3*k**3 - 5*k - 4. Let u be r(y). Let i = -123 + u. Is i a prime number?
False
Let q(n) = -n**2 - 8*n + 5. Let y be q(-7). Let x = y - 8. Suppose 0 = x*v + m - 148, 2*m - 185 = -5*v - 2*m. Is v prime?
True
Suppose -y + 1195 = -48. Is y prime?
False
Suppose 5*x = q + 3449, -x - 4*x = -4*q - 3461. Is x prime?
False
Suppose 0 = 6*a - 3*a. Suppose -2*b = -0*r + r - 245, 3*r - 5*b - 691 = a. Is r a composite number?
True
Suppose 15 = t + 3*z, -3*t - 3*z + 21 = -0*t. Let w(d) = 3*d**3 + 5*d**2 - 5*d + 2. Is w(t) a composite number?
False
Is 53*14 + 5 + 5 + -9 a prime number?
True
Suppose 0*x + 2*x - 550 = 0. Suppose 4*o + x = 663. Is o composite?
False
Suppose 5*j = j. Suppose j = -5*b - 0*b. Suppose 3*t - 7*t + 76 = b. Is t prime?
True
Let n = 0 + 6. Let i = 207 + n. Is i composite?
True
Suppose 3*m - 4*b - 8 = 0, -5*b = -3*m - 1 + 8. Suppose -5*i = 4*r - 2713, -4*i + 2156 = m*r - 8*r. Is i prime?
True
Let j(x) = 6*x**2 - 3*x - 2. Is j(-5) composite?
False
Let h be 0 - (-1 - 2 - -9). Let j(u) = 6*u**2 + 2*u + 5. Is j(h) a composite number?
True
Let u = -775 + 1812. Is u a composite number?
True
Let i = 4217 + -2982. Let n = i + -736. Is n composite?
False
Let f be 2/(-3) + (-2)/6. Let n be (-1)/(-2)*f*2. Is ((-3)/(-6))/(n/(-14)) prime?
True
Let z be 2/(-4) + (-40)/(-16). Suppose 86 = j - p - 95, 0 = -z*j - 3*p + 382. Is j a prime number?
False
Suppose -5*m = 5*c - 830, -4*m + 4*c + 439 + 233 = 0. Is m a composite number?
False
Let y be (1 + -3)*(-452)/8. Let a = 190 - y. Is a a composite number?
True
Is (3 + 2/4)*10 composite?
True
Let l(b) = -13*b - 5. Let y(w) = w**3 - 4*w**2 - w. Let q be y(4). Is l(q) prime?
True
Let r(h) = -h**3 + h + 2. Let u be r(-1). Suppose -3*m = u*m - 335. Is m a composite number?
False
Suppose b = -g + 28, 9 = g - 2*b - 10. Is g a prime number?
False
Let j(d) = -43*d**3 - 2*d**2 + 2*d - 7. Is j(-4) composite?
True
Let i be ((-16)/10)/((-1)/5). Suppose 5*w = -12 + 47. Let k = w + i. Is k composite?
True
Let z = -16 - -26. Let b = 15 - z. Suppose -n - 132 = -b*n. Is n a prime number?
False
Let n = -85 - -156. Suppose -n = -5*f + 99. Is f composite?
True
Let x = 3 - 1. Suppose x*v - 45 = -7. Is v a composite number?
False
Let b(n) = 125*n**2 + 5*n - 7. Let y(v) = -124*v**2 - 4*v + 6. Let c(u) = -5*b(u) - 6*y(u). Let o(p) = p + 1. Let i be o(-2). Is c(i) composite?
True
Let j = 834 - 412. Is j a composite number?
True
Let a(t) = t**2 - 13*t + 2. Let u be a(11). Let v = u - -85. Is v composite?
True
Let i(j) = -46*j - 5. Is i(-3) a prime number?
False
Let w = -3222 - -4879. Is w a prime number?
True
Let u be (-7482)/(-21) + 2/(-7). Suppose -j - u = -5*j. Is j prime?
True
Let o = -8 - -11. Suppose -o*l + l = -326. Is l a composite number?
False
Let s(q) = 17 - 2*q**2 + 3*q**2 + 16. Suppose -4*i + 2 = 2*f, -4*f = -5*i - 3 - 1. Is s(i) a composite number?
True
Let f be ((-110)/3)/((-14)/105). Suppose -2*d = 2*w, 0 = 4*w - 2*d - d - 21. Suppose w*h + f = 5*u + 5*h, -u + 55 = -4*h. Is u a prime number?
False
Suppose -4*b = -1417 - 2779. Is b prime?
True
Let a(l