t(-2). Let u be -46 + (-3)/((-15)/(-20)). Let m = h - u. Is m a prime number?
False
Let r = 1107 - 733. Suppose -z - 4*t = -929 - r, -4*z + 5107 = -5*t. Is z prime?
True
Let h(v) be the first derivative of -v**7/70 + v**6/90 - v**4/24 - 7*v**3/3 - 5. Let w(i) be the third derivative of h(i). Is w(-3) a composite number?
False
Let r = 27747 - 12500. Is r composite?
True
Let j(q) = 110*q + 7. Let x be ((-4)/6)/((-10)/45). Suppose 5*s + 20 = x*a, 0 = a + 3*a - 5*s - 25. Is j(a) prime?
True
Is (-9)/99*-11*1837 a prime number?
False
Suppose 3*h - 63 = p, -3*p - 57 = -3*h - 0*p. Let g = 867 + h. Is g composite?
True
Let b = -1061 - -1976. Suppose -2*z = -7*z + b. Let v = 265 - z. Is v composite?
True
Let z = -10 + 15. Suppose 0 = 5*s + o - 1533, -z*s + 3*s + 3*o = -620. Is s prime?
True
Let n(m) = -6*m**3 + m**2 + 4*m. Let c be n(-3). Let b(s) = 185*s - 6. Let p be b(1). Suppose o = 2*g - c, 2*o = 2*g - 3*o - p. Is g composite?
True
Suppose 29510 = -5*w + a, -2*a = -3*w - 0*a - 17713. Let j = -1574 - w. Is j a prime number?
True
Let c(w) = 5738*w**3 - w**2 + 6*w - 7. Is c(2) prime?
False
Suppose -11 = -4*n + 2*t - 3*t, 0 = 3*t + 15. Let r(v) = 7*v**2 + 2*v - 9. Is r(n) prime?
False
Let o = -230 - -232. Let z(f) = f**3 + 3*f**2 + f. Let a be z(-2). Suppose -3*j = -o*j + a*s - 31, -5*j + 3*s = -155. Is j a prime number?
True
Let s(f) = -2536*f + 5. Is s(-2) a composite number?
False
Suppose -9*r + 19680 - 3759 = 0. Is r prime?
False
Let c = -16 - -20. Suppose -11104 = -c*k - 4*a, 0 = -3*k + a - 2*a + 8328. Suppose -3*l = -12, 4*b = l - 0*l + k. Is b composite?
True
Suppose -6*p + 11*p = 25. Suppose p*n - 317 = -107. Let x = 65 - n. Is x prime?
True
Suppose -1083 = -6*x + x - 2*g, 5*x = -4*g + 1091. Suppose 4*u - 381 = x. Is u prime?
True
Is (3/(-2))/((-18)/33204) prime?
True
Let l(g) = 139*g + 3. Let f be -2*(-2 + 2 + 6/(-12)). Is l(f) a prime number?
False
Let k(f) = f**3 - 8*f**2 - 8. Let j be k(9). Let c = j - -46. Is c a composite number?
True
Let r = 3 + 1. Suppose 9810 = 3*y + 3*v, v - 9 = r*v. Is y a prime number?
False
Suppose 3*h = -2*h - 3*n + 1405, -4*h + 1116 = 4*n. Suppose -2*x + h = -104. Suppose -3*c - 3*f - 47 = -x, 0 = 2*c - f - 104. Is c composite?
True
Let g = 44 - 41. Let j = 273 - -438. Suppose 0 = -6*p + g*p + j. Is p prime?
False
Suppose -2*k + 11011 = 2*j + j, 4*j = 2*k - 11046. Is k a prime number?
False
Suppose -n = 2*a - 11, a = -3*n + 14 + 4. Suppose 2*w - 112 = 2*m, -n*m - 2 = -4*m. Let k = w - -239. Is k composite?
False
Let n(c) = -338*c + 43. Is n(-5) composite?
False
Let o be (144/30)/((-2)/(-25)). Suppose -2*k + o + 1054 = 0. Is k composite?
False
Let o = 27 - 10. Suppose c = -2*v + o, c = -3*v - 4*c + 43. Suppose -9*u + 30 = -v*u. Is u composite?
True
Suppose m = 5*m. Suppose 0 = -m*x + 4*x - 12. Suppose -5*l - 4*c + 75 = 0, -80 = -5*l - 0*c - x*c. Is l composite?
False
Let l(c) = -c**3 - c**2 - c - 1. Let h(p) = -3*p**3 + 34*p**2 - 12*p - 31. Let m(t) = -h(t) + 5*l(t). Is m(-24) a composite number?
True
Let f(r) = -6703*r**2 + 5*r - 6. Let y be f(1). Is 19/(-7) + 3 + y/(-7) a composite number?
True
Suppose 8*a - 45608 = 4*a. Is a prime?
False
Let q = -23 - -11. Is (-4)/q*3*53 prime?
True
Suppose -2 = 2*z - 4*z. Let s be -4*(-3 + (-4 - -9)). Is z*4/(s/(-422)) composite?
False
Suppose -6*y + 31048 = -11186. Is y composite?
False
Let f be (160/(-6))/(-8) + (-4)/(-6). Suppose 3*i - 12887 = -f*i. Is i composite?
True
Let n = -10 + 15. Suppose 0 = n*r - 15, -5*c = r + 3*r + 3. Is c/(-1 - 0) - -86 a composite number?
False
Suppose 6*g - 7530 = 4*g. Suppose 2*y = 7*y - g. Is y a composite number?
True
Let r = 183547 - 93662. Is r prime?
False
Suppose -39590 = -5*f - 3*m, 4*f - 4*m = 41673 - 10033. Suppose 69*w + f = 74*w. Is w a prime number?
True
Suppose -7*r - 272980 = -27*r. Is r a prime number?
True
Suppose 5*k = -v + 817, v + 813 = -7*k + 12*k. Is k prime?
True
Suppose 0 = 4*m - m. Suppose 4*c - b - 702 = m, -870 = -c - 4*c + 5*b. Suppose 185 = g + 2*t - 4*t, c = g - 5*t. Is g composite?
False
Is 163822/20 + (-62)/620 prime?
True
Let h(i) be the first derivative of 8*i**2 + 21*i + 26. Is h(23) composite?
False
Is 2281700/(-50)*(-3)/6 a prime number?
True
Let a(v) = 7*v**2 - 11*v + 8. Let u be a(-8). Let t = u + -341. Is t a prime number?
False
Suppose 0 = 2*v - 0*y + 3*y + 37, -27 = 2*v + y. Suppose 5*m - 23 = 317. Let o = v + m. Is o a composite number?
True
Let f = -32 - -17. Is (-6)/(-15) + (-5559)/f composite?
True
Let i = 41659 + -22946. Is i a composite number?
False
Let k = 445 + -269. Let q be 1 + -164 - (-7 + (1 - -4)). Let n = k - q. Is n a prime number?
True
Let o be (24/9)/((-4)/3330) + 0. Let q = -169 - o. Is q a prime number?
False
Suppose 2*v - 4*v + 4132 = 0. Suppose -5*m - 2*s + 3*s = -2078, -3*s + v = 5*m. Is m a prime number?
False
Let u(q) = 33*q - 5. Let x be u(5). Let h(c) = 7*c**2 - 7*c - 3. Let d be h(2). Let r = x - d. Is r composite?
False
Let n(f) = 2*f**3 + 28*f**2 - 15*f + 10. Let b(g) = 2*g**3 + 27*g**2 - 15*g + 9. Let d(u) = 5*b(u) - 4*n(u). Is d(-11) composite?
True
Let i(f) = f**2 + 6*f + 11. Let x be i(-5). Let d be (1*12)/(x/1828). Suppose -10*c + 2*c = -d. Is c a prime number?
True
Suppose 2*g + 2 = d + 3, 0 = -d - 2*g + 3. Suppose 0 = -3*z + 4 - d. Suppose -t - 2*v = -234, -15 = -4*v + z. Is t a composite number?
True
Suppose z - 816 = -3*v, v - 102 = 2*z + 163. Is v a composite number?
False
Suppose 2*o + 18 = -2*n, -2*o - 3*o - 49 = n. Let f(q) = q**3 + 12*q**2 - 8*q - 2. Is f(o) prime?
False
Let v = -2033 - -5392. Is v a prime number?
True
Suppose 29394 = 2*l + 2*x, -l - 58756 = -5*l + 4*x. Is l prime?
False
Let d(n) = -3*n**3 + 10*n**2 - 14*n + 18. Let u(b) = -2*b**3 + 9*b**2 - 15*b + 19. Let k(f) = 3*d(f) - 4*u(f). Is k(-9) a composite number?
False
Let q(m) = 1069*m**2 + 12*m + 15. Is q(-2) a prime number?
False
Let p(t) be the second derivative of t**5/20 + 13*t**4/12 + 4*t**3/3 - 6*t**2 + 3*t. Let i be p(-13). Let o = i + 227. Is o prime?
False
Is (-8 - -10) + 7 - -4738 composite?
True
Let i = -1054 + 2871. Is i a prime number?
False
Let b = 32 - 67. Let l = 304 + b. Is l a prime number?
True
Suppose 0 = b + 3*j - 34597, -176544 = -4*b - 5*j - 38184. Is b a composite number?
True
Let p = -6547 - -10490. Is p a prime number?
True
Suppose 22*z + 2845 - 8631 = 0. Is z a composite number?
False
Is 30222/14 - 1/(21/(-6)) a composite number?
True
Let f be (85 + (-3)/(-9)*3)*107. Suppose -3*z - 3 = -0*z, 5*l + 3*z = f. Is l a prime number?
False
Let o = 7 - 7. Let b(l) = 2*l + 948. Let d be b(o). Suppose 8*m + d = 12*m. Is m a composite number?
True
Let h = 684 + -473. Let z = h - -466. Is z prime?
True
Suppose -y = 6*y + 70. Is (-3192)/(-35) + 2/y composite?
True
Suppose 17*x - 11*x - 15354 = 0. Let j = x + -1162. Is j prime?
False
Suppose 6903 = -3*z + 3*d - 0*d, -3*d - 2281 = z. Let w = 3579 + z. Is w composite?
False
Let o(x) = -621*x + 134. Is o(-29) a composite number?
False
Is -3 - (1 + (9 - 39536)) a prime number?
False
Let m(s) = -4*s + 13. Let z be m(16). Let b = z - -54. Is b a prime number?
True
Suppose -66*t = -58*t - 1072. Is t prime?
False
Let s(o) = o**3 - 3*o**2 + 4*o - 2. Let t be s(2). Let i(d) = -21*d**3 - 2*d**t + 26*d**3 - 5 - 4*d + 0*d**2. Is i(4) prime?
False
Let s(z) = 36*z + 383. Is s(-9) composite?
False
Suppose -6*f - 16747 + 58021 = 0. Is f a prime number?
False
Suppose -6*r + 2 = -10. Suppose 0 = 2*g + 4*w - 1826, -5*g + r*w - 2055 = -6656. Is g a prime number?
True
Suppose -1 - 3 = -2*o. Suppose o*u - 14 = -6. Suppose u*l = -2*c + 516, -2*c - 3*c + 147 = l. Is l composite?
False
Let v(o) = 191*o + 27. Is v(12) a composite number?
True
Let v = 5001 - 2708. Is v composite?
False
Let x(w) = -w**2 + 4*w + 11. Let c be x(5). Suppose c*j - 742 - 1964 = 0. Is j a prime number?
False
Suppose 5 = 5*m - 5*o, 6*m + 1 = 3*m + 2*o. Let u be -1 - (-2344 + m + 6). Suppose -4*j + 1893 = 4*f + j, -5*f - j = -u. Is f a composite number?
False
Let b(j) = -j**2 - 12*j. Let f be b(-10). Suppose 0 = -5*h - f, -2*v - 22 - 28 = -2*h. Is 0 - v*(4 + 3) prime?
False
Suppose b = 5*q + 26, -11 = 4*q + 4*b + 5. Is 20318/(-4)*(q - -3) composite?
False
Let k(g) = -g**2 + 6*g - 4. Let a be k(2). Suppose s = -s + a. Is -2 + (249 - (s + -6)) composite?
False
Let j be (-654*2)/(9/6