 number?
True
Is 4296356/188 - (-64)/1504 a composite number?
False
Suppose 5*w = 3 + 2. Let z be w/6 - 54428/(-24). Suppose 0 = -4*c - 4*x + z, c + 5*x + 1685 = 4*c. Is c composite?
True
Let r(i) = 51*i**2 - 4*i - 5. Let v be r(-6). Suppose m = -2*y - 931, 4*y - 2*m + v = 3*m. Is -1*(-2 + -2) - y a composite number?
True
Suppose -4*z = -1451 + 79. Suppose f - 2*q - z = -q, -5*f + 3*q + 1715 = 0. Let m = f - 132. Is m a composite number?
False
Let p be (-1)/3 + (-1)/(-3) + 372. Let i = p + 6535. Is i composite?
False
Is 194/(-1067) - (26175/11)/(-3) prime?
False
Let n = -787 + 1202. Suppose -3*a = -q - 4*a + n, -5*q + 3*a = -2043. Is q prime?
False
Let m(j) = 7439*j + 95. Is m(6) prime?
True
Let h(d) = -d**3 + 6*d**2 - 5*d - 8. Let p be h(5). Let q be 12/27*(-36)/p. Suppose -q*u = -2*g - 46, u + g = 18 - 3. Is u a composite number?
False
Let g(k) = -2*k + 102*k**2 - 33*k**2 - 3 + 88*k**2 + 6*k. Suppose -5*i + 5*t = -15, 2*i + 5*t - 6*t = 5. Is g(i) composite?
True
Let w = -2 + 6. Suppose 3*g + 3*v = -g - 51, -g - w*v - 16 = 0. Is ((-483)/g)/((-4)/(-16)) composite?
True
Suppose -76*q + 192486 = -70*q. Is q a prime number?
False
Let s = 0 + 4. Suppose s*n - 19 + 3 = 0. Suppose 2 = n*r - 306. Is r a prime number?
False
Suppose -7*f + 698 = -303. Suppose -2*x + 1763 = -f. Is x a composite number?
False
Let r(k) = 2*k**2 + 5*k - 4. Let b be r(3). Let f = -6 + b. Is f prime?
True
Let z(j) = 3*j**2 + 3*j. Let f be z(-2). Suppose f*s - 10700 + 866 = 0. Is s prime?
False
Let p = 29 + 594. Is p prime?
False
Let t = 31 + -28. Suppose -t*n + 5*s = -8*n, -4*n - 2*s = 0. Let m(o) = -o**2 + 65. Is m(n) composite?
True
Let a(q) = -2574*q**2 + 2*q**3 + 2567*q**2 + 6*q - 4*q. Let j be (0/(-1))/2 - -5. Is a(j) composite?
True
Suppose -26961 = 11*i - 97900. Is i a composite number?
False
Suppose 5*w + 381859 - 1166644 = 5*f, 6*f = 5*w - 784787. Is w composite?
True
Let m be ((-8)/(-10))/((-2)/(-40)). Let x(z) be the second derivative of -z**5/20 + 17*z**4/12 + z**3/6 - 9*z**2/2 + 16*z. Is x(m) prime?
True
Let t(v) = v**3 - 11*v**2 + 8*v + 22. Let f be t(10). Suppose -f*b = -4*b - 5*a + 660, -4*a - 678 = -2*b. Is b prime?
False
Let k(a) = a**3 + 7*a**2 + a + 3. Let i be k(-3). Let l = i - -41. Is l a composite number?
True
Suppose -114069 = -4*z - 3*p + 3584, -3*p = 2*z - 58831. Is z prime?
True
Let r = 1 + 5. Suppose 4*q = r*q - 354. Is q a composite number?
True
Suppose 3*v + 5 - 11 = 0. Suppose 0 = -4*g - 4*y - 12, y + 1 = v*g + 4. Is 1 + (-8)/g + 668 prime?
True
Let c = 45 - 43. Is 231/6*67 + (-1)/c a prime number?
True
Suppose -h + 6*h - 717 = 2*k, -5*h - 4*k = -741. Let s = 264 - h. Is s a composite number?
True
Let d(k) = -k + 26. Let s(v) = v**3 + 3*v**2 + 3. Let b be s(-3). Let a be (-2)/1 + b + -1. Is d(a) prime?
False
Suppose k - 8 + 0 = -4*a, 0 = 3*k. Suppose 16 = d + 2*f, 5*d - 3*f - 29 + 14 = 0. Is 6*d/4 + a prime?
True
Suppose 16 = 4*z - 0, 4*d = z + 31272. Is d a prime number?
False
Let v(q) = 8*q - 4. Let y be v(-3). Let t = y + 19. Let i(o) = -o**3 - 4*o**2 - 11*o + 22. Is i(t) a composite number?
True
Let z(c) = -25059*c**3 - 6*c**2 - 6*c - 2. Is z(-1) prime?
True
Let r(s) = -s**2 - 11*s + 15. Let b be r(-12). Let z = -6 + 4. Is 1/(b*z/(-354)) a composite number?
False
Is 810530/(-350)*(-4 - (-1 - -2)) prime?
True
Let t(c) be the third derivative of 7*c**5/2 - c**4/12 - c**3/6 - 2*c**2. Let f = -186 + 185. Is t(f) composite?
False
Let i(m) = 6*m - 1. Let n be i(1). Let d = 230 + -228. Suppose -b = -5*y + d*b + 2452, 5*b - n = 0. Is y prime?
True
Let v = 10 + 0. Suppose -8 = 6*k - 32. Let l = v + k. Is l a prime number?
False
Let z(m) = 184*m**2 - 5*m + 7. Let n(q) = -183*q**2 + 5*q - 7. Let i(t) = 3*n(t) + 4*z(t). Is i(2) a composite number?
True
Let u(w) = -15*w**2 + 11*w - 5. Let g be u(4). Let l = g + 502. Is l a prime number?
False
Suppose 4*h + 10335 = l, 5*l - 5163 = -4*h + 6*h. Let i = -1803 - h. Is i a prime number?
False
Let d be (3/2)/((-9)/(-24)). Suppose -5*r + 1 + d = 0, 2*r - 2033 = -3*y. Is y composite?
False
Let f = 99852 + -21923. Is f a prime number?
True
Suppose -4*h = -2438 - 5126. Is h prime?
False
Let g(w) = w. Let r be g(-12). Let c(h) = -2*h**3 - 15*h**2 + 18*h - 7. Is c(r) a prime number?
False
Let g = -6772 + 13125. Is g a prime number?
True
Suppose 0 = 5*r + 98 + 202. Let p be 2 - (-4)/(16/r). Let v(q) = 3*q**2 - 14*q - 12. Is v(p) prime?
True
Let y(l) = -l**3 + l**2 + l + 85. Suppose 5 = -5*o + 35. Let v(r) = r**3 - 5*r**2 - 5*r - 6. Let h be v(o). Is y(h) a composite number?
True
Suppose -2*c + 4 = -0*c. Suppose -5 + c = -r. Suppose -2*v - r*p + 28 = -44, 10 = 5*p. Is v composite?
True
Is 411*(-2965)/(-105)*7 prime?
False
Suppose -2*t = -4*m - t, 2*m = t. Suppose -a + 4 = -m. Suppose -a*k + 6*k - 374 = 0. Is k prime?
False
Let l = -2865 - -5904. Let u = l + 2716. Is u prime?
False
Suppose 3*n = -4*b - 26, 5*n - n + 4*b + 36 = 0. Let k = -7 - n. Suppose k*v = -124 + 571. Is v composite?
False
Suppose 4*p + 4*b - 1158 = 7002, 0 = 2*p - 2*b - 4060. Suppose -3*w = -5*g + p, 0 = -0*g - g + w + 409. Let r = 1045 - g. Is r prime?
True
Suppose 2*v - 13371 = -b, 4*b - 5*b = -5*v - 13357. Is b a prime number?
True
Suppose 0 = 80*z - 81*z + 11179. Is z a composite number?
True
Let x(a) = 243*a**2 + a - 2. Let p be x(4). Suppose -4*j - m + p = -2*m, 0 = j - m - 971. Is j prime?
False
Suppose 0 = 10*a - 5*a - 25. Let m(g) be the second derivative of 2*g**3 - g**2/2 - g. Is m(a) composite?
False
Let s(a) be the second derivative of -a**5/20 - a**4/12 - 2*a**3/3 + 5*a**2 - 6*a. Let h be s(-5). Suppose 5*f + h = 325. Is f composite?
True
Suppose 4*h - 28 = -4*s, -5*s + 2*s - 2*h + 16 = 0. Is 2/(-4) + -4 + 827/s a prime number?
True
Let m be (-2 - -2) + -2 + 2. Suppose -4*i + 2*n - 172 = 0, 6*i - 2*i + 5*n + 172 = m. Let z = -6 - i. Is z composite?
False
Let b(z) = 5*z**2 + 12*z + 43. Is b(-8) a prime number?
False
Is (12/(-16)*-3062)/((-12)/(-8)) a composite number?
False
Suppose 31412 = 10*d - 258318. Is d composite?
True
Suppose -x + 254 = -3*a - 535, -4*a = 4. Let q be x/(-9) - (-4)/(-6). Let z = 103 - q. Is z prime?
True
Suppose -629 + 1879 = -5*i. Let w = -790 - -275. Let u = i - w. Is u a composite number?
True
Let q(i) = -16*i - 3. Let b be q(-2). Let y(d) = -16*d + 464. Let r be y(27). Let z = r - b. Is z a composite number?
False
Let x be (4 - 3) + 183*-1. Let z be (-2)/(-13) + (-50022)/x. Suppose 2*a = 7*a - z. Is a prime?
False
Suppose -3*s - 304 = -r, 4*s - 6*r + 3*r + 407 = 0. Let n = s - -203. Suppose 3*q - 327 - n = 0. Is q a prime number?
False
Let u(w) = 693*w - 32. Is u(5) a composite number?
False
Let t(f) = 2*f - 11. Let r be t(8). Suppose 4*n + a = -a - 394, 0 = 3*n - r*a + 276. Let h = 298 + n. Is h composite?
True
Suppose -4248 = -4*g - 0*g. Let h = 1715 - g. Is h a prime number?
True
Suppose i = 4*v + 503, 221 + 1228 = 3*i + 3*v. Is i a composite number?
False
Let j(y) = 50*y + 4 - 14 + 3*y - 3. Is j(6) prime?
False
Let c(b) = -3*b**2 + 11*b + 17. Let z(l) = 0 - l - 1 + 0 + 2*l**2 - l**2. Let m(j) = c(j) + 4*z(j). Is m(11) a prime number?
True
Is 349401/357 - 4/(-14) prime?
False
Let p(w) = -166*w + 4. Let q be p(-4). Suppose 3*f - 392 = 2*u, 0 = f + 4*f + 4*u - q. Suppose 3*d = -f + 489. Is d prime?
False
Let d(b) = -15*b**3 - b**2 + 4*b - 1. Let v be d(-4). Suppose v = 5*q + 292. Is q composite?
False
Suppose -2 - 16 = 3*a. Let b be 1/a + (-62)/(-12). Suppose b*c = -0*c + 115. Is c prime?
True
Let b = -35 - -50. Let o = b - 12. Suppose o*c - 125 = -14. Is c prime?
True
Suppose -2*g = -10, -2*w + 4*g - 9 = g. Suppose -w = -q, 0 = -3*d - d + q + 18865. Is d composite?
True
Let d(v) = -230*v - 5. Let c = -46 + 43. Is d(c) a prime number?
False
Suppose 5*u = -0 - 10. Let q(r) = -126*r + 8. Let h(n) = 377*n - 23. Let o(d) = -3*h(d) - 8*q(d). Is o(u) composite?
False
Suppose -5*j + 0*j - 5*j = 0. Suppose j = -7*v + 595 - 42. Is v a composite number?
False
Let h(u) = -12*u**3 + 2*u**2 - 3*u + 4. Let k(p) = -3*p + 8. Let r be k(-3). Suppose 5*i = 2 - r. Is h(i) composite?
True
Suppose 111*k - 103*k = 1112. Is k prime?
True
Let i = -17 - -10. Let j = 1057 + -975. Let t = j - i. Is t a prime number?
True
Let y(f) = f - 6. Let s be y(9). Suppose 0 = -s*o + 3*x + 498, 5*x - 219 - 271 = -3*o. Is o + (-6)/(-2) + -1 