
Suppose -1 - 24 = 5*q. Is (2 + 1 + 386)/(q/(-35)) a composite number?
True
Is (2 + 5)/(12/62004) a prime number?
False
Suppose 15*i = 14*i + 80. Is (-18278)/(-6) - (i/15 + -5) a composite number?
True
Let c(j) = -13*j - 23. Let w be c(-2). Suppose -w*m = 0, -p + 9*m = 11*m - 3557. Is p composite?
False
Suppose -q - 19*n + 2979 = -14*n, 0 = 4*n - 16. Is q a composite number?
True
Is -2 - (-8)/(40/55075) a composite number?
True
Let j(m) = 20*m**2 + 7. Let c be (-18)/(-45) - (-3)/5. Let f = 2 + c. Is j(f) prime?
False
Suppose -3*r = -5*i - 55, -i + 11 = -3*r + 34. Let c = -6 + 16. Is (c/i - -1)*-4604 a prime number?
True
Let t(k) = k**2 + 8*k + 1. Let i be t(-5). Let s = i - -37. Suppose -2*r = -637 + s. Is r a prime number?
True
Suppose -2*g = -5*r - 2904, -2*g - 2*r = g - 4318. Suppose 4*h - g = -250. Is h composite?
True
Suppose 4*m - 3*w = 4024, -5*w - 4 = 16. Suppose -m - 1125 = a. Is a/(-7) + (-6)/2 prime?
False
Let t(m) = 4*m**2 + 2*m - 1. Let d be t(-2). Let r = 9 - d. Is 307*(-4)/8*r a prime number?
True
Suppose -7 = 3*h + 8. Let m(a) = 8*a**2 - 2*a - 29. Is m(h) prime?
True
Let h(q) be the third derivative of q**5/60 - q**4/24 + 4*q**2. Let f be h(3). Is ((-22)/f)/(2/(-102)) a prime number?
False
Let f(c) = -3*c + 3. Let b be f(6). Let g = b + 13. Is 2/((-1488)/748 - g) a composite number?
True
Suppose 19631 + 42548 = 5*b - 4*a, 49736 = 4*b - 5*a. Is b prime?
False
Let z(p) = p**2 + 6*p + 4. Let n be z(-4). Let k be 1*-1 - (-4 + 35/5). Is (522 - 1)/(n/k) prime?
True
Suppose -66971 = -5*w - 2*s + 78422, -58162 = -2*w - 2*s. Is w a composite number?
False
Let q be 2/3 + 169/39. Suppose -5*w + 630 = 3*l, 0 = -5*l - w + q*w + 1087. Suppose 0 = 3*z - z + 3*o - l, -z - 4*o = -95. Is z a prime number?
False
Suppose -3*g + 1368 + 78 = 0. Is g a composite number?
True
Let o = 6 - 4. Suppose f + o = 2*f. Is (-3 + f)/((-4)/340) a prime number?
False
Is (-4)/(-12) - 6108/(-9) composite?
True
Suppose 288 = 5*f - 3*d, 0 = -5*f + d + 3*d + 289. Is (3/(9/4))/(2/f) composite?
True
Suppose 5*v + i - 7369 = -2356, 4*i = -3*v + 3001. Is v prime?
False
Let h(a) = -a + 3. Let b be h(-3). Let z be (-1580)/(-28) - b/14. Suppose 29 = t - 2*x, 4*t - x + 5*x = z. Is t prime?
True
Let v be (-1159)/57*18/(-2). Let f = v + 40. Is f composite?
False
Suppose -13*r = -20*r + 21049. Is r a composite number?
True
Is (-36)/(-90) + 75126/10 prime?
False
Let m(i) = 2*i**3 - 52*i**2 + 11*i - 63. Suppose -l + 38 = 12. Is m(l) a prime number?
True
Is -1 + 21/3 - -575 a composite number?
True
Let q be (-24)/(-18) + 80/(-6). Let d = -20 - q. Is 1*d/(32/(-60)) a prime number?
False
Let x(d) = 1091*d**3 + d**2 - 11*d + 17. Is x(2) a composite number?
True
Let y(t) = -176*t - 1. Let z be y(-1). Suppose 2*u - 123 = 155. Suppose u = 2*b - z. Is b a prime number?
True
Let z(o) = 93*o - 1. Let h be z(4). Suppose -m + h = 6*m. Is m a prime number?
True
Let k = -22 + 19. Is -11108*((-13)/4 - k) a prime number?
True
Suppose -500646 = 55*s - 3732281. Is s a prime number?
True
Suppose -17*h = -14283 - 66484. Is h a composite number?
False
Let x be (0 + 6/(-4))*-2. Let h be -2 + (x - -2) - -2. Is 48/h + (-2)/(-5) composite?
True
Let i(w) = -w**2 + 14*w - 13. Let h be i(13). Let s = 6 + h. Suppose 2*j + s = 36. Is j composite?
True
Suppose 6*c - 232912 = -61714. Is c a composite number?
True
Suppose 2*h - 7 = -17, -l + 174 = h. Suppose 0 = f - 162 - l. Let k = 820 - f. Is k composite?
False
Suppose 22*u + 38*u - 793020 = 0. Is u a prime number?
True
Suppose z + 396 = 3025. Is z a composite number?
True
Suppose -30*x + 10977 = -27*x. Is x a prime number?
True
Let n = 337 - -2100. Is n a composite number?
False
Let i = 15 + -6. Suppose i*k - 25 = 4*k - 3*q, -52 = -4*k + 4*q. Is (-148)/k*(-26)/1 a prime number?
False
Let u be (-27)/(-5) - 10/25. Suppose 3*x - 844 = -x + 4*a, 1055 = u*x + 4*a. Suppose -345 - x = -4*o. Is o prime?
True
Is 0 - (-9)/27 - (-14028)/9 a prime number?
True
Let s(f) = f - 4. Let h be s(8). Suppose n = -h*b + 4*n + 260, 0 = -3*b + n + 195. Suppose b = 5*m + 2*v, -5*v - 2 = -2*m - v. Is m a prime number?
True
Let o(k) be the second derivative of 199*k**3/2 - 25*k**2/2 + 8*k - 1. Is o(4) a prime number?
False
Is (3*12/9 + -627)*-1 a composite number?
True
Let l(s) = s**3 + 14*s**2 + 2*s + 33. Let i be l(-14). Suppose -4*z + 34 = 2*v, 2*z - z = 5*v + 25. Suppose z*u - 2035 = i*u. Is u a prime number?
False
Suppose -140153 = -2*a - 3*p, 55*a - 53*a + 4*p - 140158 = 0. Is a a composite number?
True
Suppose -7*h = -2*h - 20. Suppose h*v - 2*x = x + 8605, -x + 8625 = 4*v. Is v a prime number?
False
Let i(o) = -899*o + 531. Is i(-20) a prime number?
False
Let w(x) be the third derivative of x**7/126 - 19*x**6/720 + 7*x**5/30 - 5*x**2. Let l(a) be the third derivative of w(a). Is l(10) a prime number?
False
Let t(v) = 491*v + 9. Is t(8) a composite number?
True
Suppose -5202 = -3*j - r + 3853, -4 = 2*r. Is j composite?
False
Let i(o) = 40*o - 2. Let t be 2 + 1 - (-1 + 3). Is i(t) a prime number?
False
Suppose -1712 = -2*h + j + 5317, 5*j = 4*h - 14067. Is h composite?
True
Let x(z) = -z**2 - 10*z - 8. Suppose 41 = -5*q - 4. Let w be x(q). Let m(r) = 923*r**2 + r - 1. Is m(w) prime?
False
Suppose -u + 2*b - 4 = 7, 49 = -5*u + 4*b. Let x = u + 13. Suppose 3*o - 170 = -w + 473, -2*o + x*w + 410 = 0. Is o a prime number?
False
Suppose 5*n - 5*d - 19140 = 0, -11829 = -4*n + 3*d + 3488. Is n prime?
True
Suppose 0 = -m + 5*t + 3210 - 859, -5*m = -t - 11803. Is m prime?
False
Suppose 170 = 3*t - 70. Suppose -3*y + 416 = t. Let h = 335 - y. Is h a composite number?
False
Suppose 0 = 5*b, 3*o = 7*o + 5*b + 48. Let u(r) = 15*r**2 + 2*r - 25. Is u(o) a composite number?
False
Let t = -24 - -51. Let f = -15 + t. Let o(c) = 30*c + 5. Is o(f) a composite number?
True
Let x = 143 - 141. Suppose 4*j = u - 2807, -x*j + 4*j + 14125 = 5*u. Is u composite?
True
Let m(b) = -10*b + 2*b**2 + 8 + 6*b - b + b**2. Is m(-6) a composite number?
True
Let m(j) = -654*j - 217. Is m(-9) prime?
True
Let d = -75384 - -119075. Is d a composite number?
False
Suppose -2876917 = -66*w + 19*w. Is w a composite number?
False
Suppose -5*f + 5*b + 17279 = -f, 8647 = 2*f + 5*b. Is f composite?
True
Let l(c) be the second derivative of c**5/5 - c**4/2 - c**3/3 - c**2/2 - c. Let u = 74 - 68. Is l(u) composite?
True
Let b = 64 + -55. Let x(z) = 90*z - 13. Is x(b) composite?
False
Let x = 16 - 9. Suppose -3*z = 3*c + x - 148, 2*z + 5*c = 82. Is z composite?
True
Let w = -9 + 0. Let c(x) = 58*x - 1. Let f(q) = -233*q + 4. Let v(k) = w*c(k) - 2*f(k). Is v(-2) prime?
True
Let t(c) = -101*c**3 + 4*c**2 - 8*c - 26. Is t(-5) a prime number?
True
Suppose 5*l + 3*f = 59270, -f + 35558 = 3*l - 0*f. Is l composite?
True
Let o be (3/1 - -3) + -2. Suppose 84 = -4*r - 2*a, r - 4 = o*a - 16. Is (24/r)/((-6)/165) a composite number?
True
Let n(w) = 1879*w + 2. Is n(3) a prime number?
True
Suppose 4*d = -3*t + 28, -t - 36 = -4*d - 8. Suppose 5*a - 2*o - 3361 = 0, 1 = -3*o + d. Is a prime?
True
Suppose -36 = 3*j + 5*p - 2*p, 5*j - 5*p + 50 = 0. Let t = 5 + j. Is 3*(-2)/t - -334 a prime number?
False
Let l be 302/(-6) - 15/(-45). Let p = -274 - -393. Let i = l + p. Is i prime?
False
Let s(k) be the first derivative of -k**4/4 - 6*k**3 - 5*k**2 - 7*k + 19. Is s(-22) a composite number?
True
Suppose 4*t + 7 = 3*b, -3*b + 7*b - 26 = -3*t. Let f(c) = 2*c**3 + 2*c**2 - 7*c - 6. Is f(b) composite?
True
Let p be (-5)/(15/(-6))*26/4. Suppose -6*r = -p*r + 6671. Is r a composite number?
False
Let l be 1089/(-6)*2/3. Let m = l - -188. Is m composite?
False
Suppose -1366 = -22*v + 23*v. Is (9/(-18))/(1/v) a composite number?
False
Suppose -764 + 199 = -5*i. Let h be 2/((18/(-108))/((-13)/2)). Let u = h + i. Is u composite?
False
Suppose 19*b + 1033 = 3864. Is b composite?
False
Is 2*((-3027)/6)/(4/(-4)) composite?
False
Suppose 4 = j + 5. Let q be (j - (-1 - -3)) + 17. Is 1750/4 - q/28 prime?
False
Let h = -712 + 2439. Is h composite?
True
Suppose -b + 17*n + 9603 = 13*n, -4*b = -2*n - 38356. Is b composite?
False
Suppose 0 = 3*w + n + 185, 4*w + 4*n = -313 + 53. Let p = -19 - -7. Is 10/w + (-446)/p a prime number?
True
Let z(d) be the second derivative of -d**5/20 - 4*d**4/3 + 2*d**3/3 - 8*d**2 + 3*d. Is z(-17) a composite number?
True
Let o(m) = m