01. Is n(-10) composite?
False
Let w = 2128 - -339. Is w prime?
True
Let d = -733 + 3170. Is d composite?
False
Let k(d) be the second derivative of d**3/6 + 7*d**2/2 - 5*d. Let t be k(0). Suppose 105 = -2*b + t*b. Is b a composite number?
True
Let x(y) = 153*y**2 - 8*y + 41. Is x(12) a composite number?
False
Let m(w) = 671*w**3 - w**2 - 3*w + 8. Is m(3) a prime number?
False
Suppose p + 39 = 4*g, 3*p = 5*g - 31 - 9. Suppose -2*l - 7 = -g. Suppose 2260 = l*u + 2*u. Is u prime?
False
Suppose 0 = -r - 2*d + 3307, 3*r - 13150 = -5*d - 3233. Is r prime?
True
Suppose 33*i + 1150457 = 110*i. Is i prime?
False
Suppose n + 4*n = 260. Let q be 6/21 - n/(-14). Let a(x) = 2*x**3 - 4*x**2 + 6*x - 5. Is a(q) a composite number?
False
Let f = 138 - -2. Suppose r - 5 = 5*z + 5, -4*z = 4*r + 8. Suppose -t - 3*t + f = r. Is t a composite number?
True
Suppose -2*o = -a - 315, -2*o = -5*a - 0*a - 319. Suppose -4*m = -4*t + 540, 5*m + o = 2*t - 125. Is t a prime number?
True
Is 4/14 + ((-54333445)/(-119))/19 a prime number?
False
Suppose -p - 3684 = -5*o - 1021, 3*o - 1593 = -p. Suppose 4*k - 272 = o. Is k prime?
False
Suppose 0 = 3*m - 5655 - 30. Is m prime?
False
Let c be 2*(1 - 1/2). Is (-1 + 2 + 904)*c a composite number?
True
Suppose 80*q - 66*q = 224. Let g(y) = y**3 - 2*y**2 - 2*y + 1. Let z be g(3). Is z*(732/q + 2) a composite number?
False
Let y(w) = 50*w**3 + 3*w**2 + 2*w + 3. Is y(2) prime?
True
Suppose 0 = -2*b + 2*q - 8, -56 = -0*b + 4*b + 4*q. Let a be (9/6)/(b/(-30)). Suppose -463 = -a*v + 1182. Is v prime?
False
Suppose -8 = -0*l - 2*l. Suppose 4*x - 1339 = -3*s, -l*s + 1784 = -5*x - 22. Is s a prime number?
True
Suppose 20*h = 24*h - 4852. Is h a composite number?
False
Let r(c) = c - 4. Let j be r(6). Suppose j*f + 6 + 2 = 0. Let x(w) = -54*w - 5. Is x(f) composite?
False
Let p(m) = -18*m**2 + 8*m - 6. Let o be p(5). Let k = o + 795. Is k prime?
True
Suppose 0 = -4*r - r - 3*w + 5542, 4 = -4*w. Is r composite?
False
Let i be -3 - -5 - (5 + -6) - -4. Is 194 - (i + (12 - 0)/(-3)) prime?
True
Suppose 4*f = 2*z + 484, -605 = -5*f - 3*z - 2*z. Is f a composite number?
True
Let s(y) = -2*y**3 - 1 + 0*y - 4 + 5*y - 8*y**2. Suppose 80*z + 270 = -370. Is s(z) a composite number?
False
Let c = 96879 + -61618. Is c prime?
False
Let l(c) = 373*c**2 - 36*c - 67. Is l(-2) prime?
False
Suppose 3727 = -4*m - 3129. Is m/(-12) - 4/(-24) composite?
True
Suppose 9*d - 115 = 14*d. Let r = d + 696. Is r prime?
True
Suppose 2*b - 5*p - 1796 = 2533, -4*b + 2*p = -8634. Is b composite?
True
Suppose g + 11 = i, -3*g + 5*g - 4 = 0. Suppose -10*w = -i*w + 1749. Is w a prime number?
False
Suppose 31*v - 26*v + 16206 = 4*r, -r - v = -4047. Is r composite?
False
Is (-7054 - -11)/(2/(-2)) composite?
False
Let w(j) = -j**3 + 25*j**2 + 12*j - 77. Is w(24) composite?
False
Let b = 6 - -5. Is 63315/55 - 2/b a prime number?
True
Suppose -3*t - 616 = -t. Let u = t - -865. Is u composite?
False
Suppose -m + 5672 = 1894. Is m composite?
True
Let z(v) = -62*v - 11. Let f be z(-6). Suppose 5*o - 84 = -l, 4*l + 2*o = 7*o + f. Is l prime?
True
Is (-430101)/(-12) + 140/112 composite?
True
Suppose 4*b - 100 = 372. Let v = -39 + b. Is v a composite number?
False
Let g be (-5)/(-1)*(-3768)/20. Let i = -301 - g. Is i a composite number?
False
Let v(w) = w**2 + 4*w - 3. Let c be v(-5). Let x(p) = -2*p**2 - 2*p - 17 + 16*p + p**c + 5*p**2. Is x(-12) prime?
False
Let z(h) = -h + 67. Let u = 36 + -36. Is z(u) a prime number?
True
Let k(f) = -7 + 15 + 7*f - 5 + 1. Let w be k(4). Suppose 0 = 2*c - 3*v - 186, -3*v = c - 43 - w. Is c composite?
True
Let j(y) be the second derivative of -3*y**5/10 + y**4/4 - 7*y**2/2 - 22*y. Is j(-6) prime?
False
Suppose 459 = 3*z - 345. Suppose 3*s - 242 = z. Let m = s - 81. Is m a composite number?
False
Let u(o) = -o**3 + 19*o**2 + 15*o - 31. Is u(-10) a composite number?
False
Let v(s) = -10*s**3 - 4*s**2 - 13*s - 64. Is v(-5) a composite number?
False
Suppose 13*t + 18767 = 16*t + 5*r, -4*t + 25034 = r. Is t prime?
False
Is (-7 + (-560573)/(-26))*2 composite?
True
Let u(i) = -i**3 + 3*i**2 + 3*i + 11. Let c(f) = 3*f + 19. Let q be c(-9). Is u(q) a composite number?
False
Let h = -51 + 74. Is h a composite number?
False
Let j(x) be the third derivative of 97*x**7/2520 + x**5/120 - x**4/4 + 2*x**2. Let w(i) be the second derivative of j(i). Is w(2) prime?
True
Let j = -5303 + 17436. Is j a composite number?
True
Let z be (-196)/(-16) + (-1)/4. Is 1460/3 + 4/z a composite number?
False
Suppose 2*q + 2*w = -3*q + 15, -2*q - 3*w + 6 = 0. Is ((-157)/q)/(3/(-9)) a prime number?
True
Let i be (-2 - -3)/(5/(-45)). Is -3*(-3)/i*-157 prime?
True
Let c(p) = 3*p**3 - 21*p**2 - 12*p - 5. Let o be 6*1*18/12. Is c(o) composite?
False
Let v = -1 + 14. Let m(z) = 2*z**2 - 14*z + 1. Is m(v) prime?
True
Suppose 13*n = 8*n + 5. Let u = 5 - n. Suppose 260 = 5*j + 5*c, 2*j = -u*c - c + 101. Is j a prime number?
True
Suppose -4*b + b + 27 = 0. Is -3*((-3684)/b + -5) a composite number?
True
Suppose -5*y + 2804 = 2*k, 3*y = 3*k - 264 - 3921. Is k a composite number?
True
Let q = 1760 + 1173. Is q a composite number?
True
Is (((-45)/(-18))/5)/(2/844) a composite number?
False
Suppose 4*v + 26 = 6*v. Let c be (-1*2)/((-2)/((-32)/(-8))). Suppose -v = c*y - 117. Is y composite?
True
Let u = -69 + 74. Suppose -u*x + 370 - 35 = 0. Is x prime?
True
Suppose -3*j - 5*i + 3*i + 209 = 0, 71 = j + i. Is j a prime number?
True
Let l(t) = 3*t**2 + 2 + 1 + 7*t**2 - 1 + t. Let m be l(-3). Suppose 0 = -3*w + 5*p + 316, m + 115 = 2*w - 2*p. Is w a prime number?
True
Is 10/(-75) - 450102/(-90) prime?
False
Let d(n) = 10*n**2 - n - 12. Suppose 2*g - 4 - 6 = 0. Is d(g) prime?
True
Let y = -3 - -6. Let b(c) = -3*c + 110. Let u be b(36). Suppose u*t - 3*s - 335 = 99, -y*s + 904 = 4*t. Is t a composite number?
False
Suppose 56978 + 112602 = 20*k. Is k a composite number?
True
Suppose 3*g - 9 = 4*x, 4*g + g - 15 = 3*x. Suppose -5*b + g*j + 2033 = 5*j, -3*b + 4*j + 1225 = 0. Is b a prime number?
False
Suppose i = 2*x - 1 + 3, -4*x + i - 6 = 0. Let o be (x + 2 + -5)/(-1). Suppose d - 5*j - 7 - 2 = 0, 2*j = -o*d + 180. Is d a composite number?
True
Suppose 5*s - 2*l = 86, -3*s + 2*s - l = -20. Suppose -6*w = -4*w - s. Suppose 11*h - 614 = w*h. Is h a composite number?
False
Let t(j) = -104*j**3 - 3*j - 2. Let i(y) = -52*y**3 - 2*y - 1. Let l(w) = 7*i(w) - 4*t(w). Suppose 2*o - 6*o = -4. Is l(o) prime?
False
Suppose -23*n = -20*n - 240. Let y = 221 - n. Is y a prime number?
False
Let n(z) be the third derivative of z**6/40 - z**5/20 - 421*z**3/6 + 3*z**2. Let t(d) = d**3 - d**2 - 1. Let s(b) = -n(b) + 2*t(b). Is s(0) a composite number?
False
Suppose -3*t = l - 16, 0 = -3*t + 2*l + 13. Let m(g) = g. Let u be m(t). Suppose u*z - 506 = -5*d + 84, 0 = z - 5*d - 124. Is z composite?
True
Let h be -1*(-3 - (1 - 2)). Suppose 247 + 1383 = h*w. Is w composite?
True
Let t = 9 + -7. Suppose 13 = -t*s + 5, 4*d + 4*s = 0. Is 211*4/(16/d) a prime number?
True
Suppose -3365 = -2*h - 1031. Is h composite?
True
Let z(i) = -475*i + 7. Let x be z(9). Let d = -1159 - x. Is d composite?
False
Let m be (36/(-15))/((-4)/4850). Suppose 0*r - m = -4*x + 5*r, 5*x - 3633 = 4*r. Suppose 0 = o + 4*o - x. Is o a composite number?
True
Suppose 275 = -3*l + 3*s + 1025, 0 = -3*l - 5*s + 758. Is l a prime number?
True
Let v = 39225 + -5194. Is v a prime number?
True
Let y(h) = -h**2 - 10*h - 3. Let w be y(-11). Let v = w + 18. Suppose 21 + 167 = v*m. Is m a composite number?
False
Suppose 1771218 - 8106612 = -78*z. Is z a prime number?
True
Suppose t - 16 = -0. Suppose i = 4*y + 1836 + 260, -3*y = -5*i + 10446. Suppose -3*f = f - t, -4*w - f = -i. Is w prime?
True
Is (-1)/3 + 12514/3 prime?
False
Let s = -118 + 122. Suppose 4*g - 2969 = 3*c, -3*g - s*c = -944 - 1289. Is g a prime number?
True
Let r = 51 - 29. Let s = -39 + 32. Let d = s + r. Is d a prime number?
False
Suppose -149*k = -160*k + 15411. Is k a prime number?
False
Let p(x) = -2*x + 1. Let r be p(-5). Suppose 0 = -3*l + r*l + 752. Let s = l - -140. Is s a composite number?
True
Let i(g) = 2*g + 17. Let l(b) = -b**3 - 5*b**2 - b + 5. Let c be l(-5). Is i(c) a composite number?
False
Let g(k) = 592*k - 35. Let j = -20 + 27. Is g(j) composite?
True
Let n be (4/10)/((-14)/(-280)). Is 