
False
Let v(m) = -m**3 - 13*m**2 + 16*m + 14. Let s be v(-13). Let y = s + 328. Is y composite?
True
Suppose 8 + 1 = d - 3*r, 3*r = -4*d + 6. Suppose -d*m - 47 = 5*b + 190, -316 = 4*m - b. Let j = m + 206. Is j prime?
True
Suppose 0 = 6*a - a - 20. Suppose -p - 4*r + 9 = 0, -a*r + r + 9 = 0. Is (-5 - p)*158/(-4) a composite number?
False
Let y = -7 + 10. Suppose 0 = y*z - z - 168. Let p = z - 47. Is p prime?
True
Suppose i + 3 = -1. Let z = 4 + i. Suppose z = 3*c + 5*m - 149, m = -0*m - 2. Is c composite?
False
Let m(w) = 1 - w**2 + 11*w + 2*w**2 - 2*w. Is m(-10) composite?
False
Suppose 3*c + 1935 = 8*c. Is (-4)/10 - c/(-5) composite?
True
Let m be (-3)/(-12) - 549/(-12). Suppose z = i - 0 + 13, -m = -4*z + 2*i. Suppose -3*n + 59 = -z. Is n prime?
True
Suppose -d = 5*s + 13, 3*d = 2*d + s + 5. Let f = 0 - d. Let v(l) = -3*l**3 + 2*l**2 - 2*l - 1. Is v(f) prime?
False
Let a(m) be the third derivative of m**5/5 + m**3/6 - 2*m**2. Is a(-2) a composite number?
True
Suppose a = 5*a - 20. Let v = a + -4. Suppose -v = 4*t - 41. Is t a prime number?
False
Suppose 0 = -0*a - a. Suppose -3*h - 4*b = -143, a*b - 220 = -4*h + 2*b. Is h prime?
True
Let o(z) = -330*z + 19. Is o(-3) a composite number?
False
Let x(v) = -v**3 - 2*v**2 - v + 5. Let h(i) = -i**3 - 3*i**2 - 2*i + 5. Let d(j) = 2*h(j) - 3*x(j). Let q be 1/1 + -3 + 6. Is d(q) prime?
False
Suppose 3*p + 1 + 5 = 0. Let o be (0 + p)/(-2)*-3. Is ((-106)/6)/(1/o) prime?
True
Is (541/3)/((-24)/9 + 3) prime?
True
Let r(p) = 4*p. Let m be r(-4). Let i = -71 + 18. Let b = m - i. Is b composite?
False
Let h = 38 + -7. Is 3*(-2)/(-6)*h prime?
True
Suppose 2*t - 3*t = -g - 251, 4*g = -t - 1019. Let v = -114 - g. Let a = 5 + v. Is a a prime number?
False
Is 3355 + (30/3)/(-5) a composite number?
True
Let r = -1253 - -1786. Is r a prime number?
False
Suppose 0 = -4*v - 4*c + 76, -5*c = 2*v - 28 - 4. Is v a prime number?
False
Let k be 4/(-2)*2/4. Let h(o) = 16*o**2 - 5 + 4 - o**2. Is h(k) prime?
False
Suppose -5*w = 5*f - 30, -4*w + 29 - 9 = 2*f. Suppose -j = w*j - 15. Suppose j*m + 2*m - 335 = 0. Is m a composite number?
False
Let h = -2498 - -4393. Is h a composite number?
True
Let g(y) = -143*y + 2. Let x be g(-4). Suppose -2*j + 3*j - 4*l - 9 = 0, -5*l - 5 = 0. Suppose 0 = -j*t - 129 + x. Is t a prime number?
True
Let r be (-24)/(-9)*(-6)/(-4). Suppose 4*j - 5*z = 39, 51 = 4*j + j - 4*z. Let x = j + r. Is x prime?
False
Suppose x - 170 = 41. Is x a prime number?
True
Let o be 1/(-6) + (-6220)/(-24). Suppose 0 = 2*u, -o = -4*v + u + 225. Is v a prime number?
False
Suppose x = -0*x - 109. Let l = 184 - x. Is l composite?
False
Suppose 4*u - 2*u = 440. Let t = -138 + u. Let d = t - 3. Is d composite?
False
Let x(p) = -p + 14. Let c be x(11). Suppose c*s = 2*n - 5*n + 198, 5*s = 3*n - 166. Is n a prime number?
False
Suppose -o = 2*m - 0*m, 4*m = o. Let b be 52/3*(3 - o). Let t = b - 26. Is t a composite number?
True
Let o = -1 - -6. Suppose -o*t = 59 - 219. Let m = t + 7. Is m composite?
True
Let j(l) = -l**2 + 6*l - 3. Let f be j(4). Suppose -2*p - 4 = 2*b, -9 - 1 = -4*b + f*p. Suppose -4*y + 6*y - 106 = b. Is y prime?
True
Let u be 12/18*(-3020 + 2). Is 1/(-2)*u/2 a composite number?
False
Suppose 0 = -2*o - 3*m + m + 6, -m = 4*o. Let q = -1 - o. Suppose 0 = -q*j + 3*j - 159. Is j prime?
True
Suppose 8 = -4*r, 5*r - 222 = -5*t + r. Is t a composite number?
True
Suppose 2442 = 3*w + 981. Is w a prime number?
True
Let q(r) = r**2 - r. Let f be q(1). Is 503 - (f - (-3 + -1)) a prime number?
True
Suppose 0 = -0*w + 5*w + 755. Is 2/8 + w/(-4) a prime number?
False
Let i(s) = 14*s**2 - 14*s - 3. Is i(13) composite?
True
Let q = 9 - 23. Let j = 0 + 4. Is j/q + (-200)/(-14) a composite number?
True
Let q(h) = 2*h**2 + 6*h - 5. Let x(u) = -3*u - 3 - 4 + 4*u. Let g be x(11). Is q(g) composite?
True
Let s(g) = -g**2 - g - 7. Let x be s(0). Let w be -1*x/((-21)/600). Let h = 303 + w. Is h prime?
True
Let p be 1/(3 + (-2020)/674). Suppose 2*b + b - p = 5*n, 5*n + 10 = 0. Is b a composite number?
False
Let s(w) = -2*w**3 - 10*w**2 - 4*w - 1. Is s(-9) a composite number?
False
Suppose -b = -4*b + 9. Suppose -3*s = -5*p - 766, -6*s + b*p + 1282 = -s. Is s a prime number?
True
Suppose a = 2*a - 443. Is a prime?
True
Let v be (-1 + 6)*10/25. Let w(b) = 150*b**v + 49*b**2 - 31*b**2 - 7*b**2. Is w(1) a composite number?
True
Let x = 17 + -13. Suppose -x*y + 137 = -179. Is y prime?
True
Let f = 7 - -27. Is f prime?
False
Suppose -x - b + 9 = x, x = 3*b + 8. Is (-55)/(-2)*10/x a prime number?
False
Is 3/(9/33) + 0 composite?
False
Suppose 4*r + 2444 = 4*h - 0*h, r = 5*h - 3055. Is h prime?
False
Let t = 8 + 45. Is t a prime number?
True
Suppose 160 - 710 = -5*i. Let n = 219 - i. Is n prime?
True
Suppose 0 = -s + 95 + 812. Is s composite?
False
Let k = 1159 + -60. Is k composite?
True
Let u = -3 - -5. Suppose -19 = -5*k - o + 79, -5*o = u*k - 53. Is k a composite number?
False
Let z(v) = -2*v + 1. Let a be z(-1). Suppose -a = 5*h - 2*h. Is -4*((-51)/4 - h) prime?
True
Let h be 725*(2 + (-6)/5). Suppose 4*x = -3*n + 1818, -4*n = 3*x - h - 787. Is x composite?
True
Suppose 26*x = 21*x + 55. Suppose 5*d - d - 37 = -h, -2*h + 10 = 0. Suppose -d = -s + x. Is s a prime number?
True
Suppose -4*d + 3*u + 2725 = 0, -705 = -d - u - 3*u. Is d a prime number?
False
Let q = 49 + 427. Let d = q - 217. Let z = d + -168. Is z prime?
False
Let a(p) = 36*p**2 - 2*p - 1. Let m(s) = 39*s**2 - 2*s - 1. Let h(b) = b**2. Let r(n) = -3*h(n) + m(n). Let j(x) = -5*a(x) + 6*r(x). Is j(-1) composite?
False
Let m(c) = -c**3 + 6*c**2 + 6*c + 1. Suppose 0 = -5*j + 4*z + 46, j + 8*z - 13 = 5*z. Let o = -4 + j. Is m(o) a composite number?
False
Is 12/30 + ((-3447)/15)/(-3) composite?
True
Let s = -19 + 32. Is s a prime number?
True
Let z = 16 + -10. Let i = z + -1. Suppose -i*p + 537 = -278. Is p composite?
False
Suppose -12 = -5*s + s. Is 81 - s/((-6)/4) prime?
True
Let g(q) = q**2 + q - 1. Let v be g(-3). Suppose -v*i + a + 100 = 0, 3*i - 18 - 24 = -3*a. Is i prime?
True
Let v = 4 - -16. Suppose u - v = -u. Is u prime?
False
Let k(h) = -708*h + 43. Is k(-6) composite?
True
Suppose -2*z - 207 = -2*n + n, -4*z = n - 201. Suppose -560 = -4*y + i, -n = 4*y + 5*i - 789. Is y prime?
False
Let x(p) be the third derivative of p**8/2520 - p**6/720 + p**5/30 + 3*p**2. Let k(z) be the third derivative of x(z). Is k(1) a composite number?
False
Suppose 3*t = -3*f + 19 + 5, 4*t - 2*f = 20. Let m = -91 - t. Let o = m + 246. Is o a prime number?
True
Let t = -1039 + 2081. Is t a prime number?
False
Let l(o) = 14*o**2 - o. Suppose 0 = 3*y - 15, 0*s - 2*s + 4*y = 24. Is l(s) a composite number?
True
Let d(s) = s**3 - 3*s**2 + s + 2. Let n be d(3). Suppose -n*r + 7 = -583. Is r composite?
True
Suppose -3*k + o + 2*o + 21 = 0, 2*o + 34 = 4*k. Let h = -9 + k. Is 1 + (0 + h - -19) prime?
False
Let u(t) = t**2 - 5*t. Let f be u(6). Suppose 0 = d + 5*s - 53, 4*s - 106 = -2*d + f*s. Is d composite?
False
Let t(y) = -y**2 - 7*y - 4. Let p be t(-6). Let n(c) = -3*c**2 + 3 - 2*c**3 + 3*c**p. Is n(-4) composite?
False
Suppose 32 = -7*h + 3*h. Let m be h/(-4) - (-2)/1. Suppose 0*p + m*p = 124. Is p a prime number?
True
Suppose 0 = -5*x - 5*a - 2625, 5 + 0 = a. Is 0 + 2/((-4)/x) composite?
True
Suppose 0*r + 5*o = r - 28, -10 = 2*o. Is (-2)/6 + 340/r prime?
True
Suppose -4*y - 4*k - 188 = 0, -y - 3*y + k = 203. Let r be (y*1)/(4/(-8)). Suppose 5*o + m = 125, 2*o - m = -2*o + r. Is o prime?
False
Is 418 + (6/(-2) - -4) prime?
True
Suppose -5*j - 4622 = -n, -18 = -5*j - 3. Is n composite?
False
Suppose 3*g = -35 + 272. Is g a composite number?
False
Is (-247)/(-3) + ((-4)/6)/(-1) a composite number?
False
Let z(k) be the first derivative of -k**4/4 + k**3/3 + 3*k**2/2 + k + 11. Let x be (-2)/8 - (-21)/(-12). Is z(x) composite?
False
Let u(c) = 2*c**2 - 4*c - 3. Let t be (-3)/(-4) + 100/16. Is u(t) prime?
True
Suppose -1 = -i + 2. Suppose 382 = -i*u + 5*u. Is u a composite number?
False
Let w = -8622 + 12413. Is w a composite number?
True
Suppose -d - 20 = -2*w + 2*d, -3*w - d = -8. Suppose -w*t + 4 = -28. Is ((-230)/8)/((-2)/t) composite?
True
Let f(j) be the first derivative of 2*j**3 + 5*j**2/2 - j - 3. Is f(-6) prime?
False
Suppose 129 = -6*z + 1023. Is z a composite number?
False
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