8. Let f(q) = q**2 - 5*q + 7. Let l be f(5). Is g(l) prime?
False
Suppose 0 = 2*j - y + 1, j + 0*y - 1 = -y. Suppose j*c = c - 1. Is -11*(-4 + c)*1 a prime number?
False
Suppose -s + 27 = 2*s. Let g(j) = -j**3 + 8*j**2 + 10*j - 7. Let f be g(s). Suppose -45 = -f*h + 93. Is h a prime number?
False
Let l be -80 - (6 + (3 - 6)). Let p = 44 - l. Is p a prime number?
True
Let p = 865 + -278. Is p prime?
True
Suppose 2*p = 4*u + 76, 0 = 5*p - 2*p + 5*u - 114. Suppose -4*q = 12, 7*t + 4*q = 2*t + p. Is t a composite number?
True
Suppose s + 4*x = 4, -4*s - s + 3*x + 89 = 0. Let k = s + 3. Is k composite?
False
Suppose -26 = -z - 4*a, -5*a - 129 = 2*z - 5*z. Suppose -z = -3*u + u. Is u composite?
False
Suppose j = 3*j. Suppose 0 = 3*f - 3*t + 520 - 2140, j = 4*f + 3*t - 2195. Is f a prime number?
False
Let t(w) = w**2 + 10*w + 5. Let h = 7 - -1. Is t(h) a composite number?
False
Suppose 2*v - 7300 = -2*y, -2*v - 7288 = -2*y - 0*y. Is y a composite number?
True
Let a = 0 - -2. Suppose -a*g = 5*v + 2*g - 315, 2*g = 10. Let o = v - 37. Is o a composite number?
True
Suppose -3*g - 2*j + 26 + 73 = 0, -4*g + 118 = -2*j. Let u = -18 + 24. Let a = u + g. Is a a prime number?
True
Let q = 5 - 5. Let s = q + 4. Let p = s - -17. Is p composite?
True
Let o = -272 - -591. Is o a prime number?
False
Is (5 - -144)*1/1 composite?
False
Suppose -5*w = -2*q - 8, -2*q - 5 = w + 3. Is (-2)/q - (-15)/6 a prime number?
True
Let x(z) be the third derivative of -z**6/120 + z**5/10 + z**4/8 + z**3/2 + 8*z**2. Is x(4) prime?
True
Let g(y) = -4*y - 3. Let b be g(-2). Suppose p + 2 = -v + 8, -b*v - p = -26. Suppose -4*a - 148 = -2*w - 2*w, -205 = -v*w - 5*a. Is w composite?
True
Is 3/(-5) - -1 - (-553)/5 prime?
False
Let y(f) be the second derivative of -31*f**5/20 - f**4/12 - f**3/3 - f**2/2 - 2*f. Let w = 0 - 1. Is y(w) a prime number?
True
Suppose 3*f - 5*k + 45 = 0, -3*f = -3*k + 37 + 2. Is (2/(-3))/(f/555) composite?
False
Let v(y) = -299*y + 4. Let s be v(-4). Is 1/3 + s/18 prime?
True
Suppose 0 = -0*h + 2*h. Let m = 34 + h. Is m a prime number?
False
Suppose -y = 2*c, 0 = -3*c + y + y. Suppose u + 345 + 423 = c. Is u/(-20) + 2/(-5) a composite number?
True
Let t(q) = -2 - 4 + 66*q + 0 + 1. Is t(2) a prime number?
True
Suppose 2*u - 19 = -4*f + 3, u = -f + 9. Let h(j) = u*j**2 + 1 + 2 - 2 - j. Is h(-3) a prime number?
True
Suppose 7372 = -0*r + 4*r. Is r prime?
False
Suppose 2*b + 0*b = -3*n + 7, -45 = -5*n + 5*b. Is (-105 + 0)*n/(-15) a composite number?
True
Let x be 3 + 1001*1 + 0. Suppose -x + 160 = -4*l. Is l a composite number?
False
Suppose 129 = -3*r + 360. Let o = r - -111. Suppose -6*c + o = -2*c. Is c composite?
False
Suppose -5*l + 3*i + 3062 = 0, 1444 = 3*l - i - 390. Suppose 2*y = l - 58. Suppose 0*p - 4*p = -y. Is p a prime number?
False
Let y(t) = -t**3 + 2*t**2 - t. Let x be y(2). Let k be x*1 - (1 - 68). Suppose -4*h = h - k. Is h prime?
True
Suppose 6*u + b = 4*u + 11, 4*u - 2*b - 18 = 0. Suppose 0*s = -s + 164. Suppose s = u*q - 111. Is q a prime number?
False
Suppose 23*b - 15*b = 5192. Is b prime?
False
Is 7042/18 + 30/(-135) prime?
False
Suppose 2*n - 1711 = 2187. Is n composite?
False
Let y = 2 + -6. Is 2 + 6/y*-34 a prime number?
True
Suppose -2*v - 2*v + 457 = 5*d, 3*d - 282 = -5*v. Is d composite?
False
Suppose m - 15 = 4*h, 5*m - 3*h - 20 = 4. Suppose -m*k - 76 = 62. Let t = -24 - k. Is t a prime number?
False
Let l = -1767 + 3020. Is l a composite number?
True
Suppose 0 = -2*c - t + 21 - 8, 4*c - t - 11 = 0. Let x(o) = 2*o - 5. Is x(c) composite?
False
Let m(t) be the second derivative of -t**3/3 - 3*t**2/2 - t. Let f = 7 - 12. Is m(f) a prime number?
True
Suppose 4 = 2*z - 658. Is z a composite number?
False
Let k = 51 - 24. Let b = -5 + k. Is b prime?
False
Let v be (-978)/(-8) + (-1)/4. Suppose 4*w - 83 - 45 = -4*m, 4*m = 2*w + v. Is m composite?
False
Suppose 0 = 6*k - 3*k + n - 1625, 3*k - 5*n = 1613. Is k composite?
False
Is -4 - (-46 + (-20)/(-4)) a composite number?
False
Suppose 4*f + 308 = -4*o, -211 = 4*f + 3*o + 93. Let r = f + 160. Is r composite?
True
Let r = -25 + 31. Is (158/r + 1)*3 a prime number?
False
Suppose 2*k + 276 = 6*k. Suppose -z = -4*s - k, -4*z + 3*s + 328 = z. Is z composite?
True
Let v(t) = -t + 13. Let s be v(-9). Suppose 4*a + s = 6*a. Is a composite?
False
Let o(j) = j. Let h(x) = -5*x + 7. Let z(q) = -h(q) - 4*o(q). Let d be z(5). Is d + 1 - (-54 - 0) prime?
True
Suppose -158 = 3*i - 4*i. Is i prime?
False
Suppose 2*u - 4*j = -18, 4*j + 0*j = 5*u + 21. Let h = u + 98. Is h prime?
True
Let s be (2 + 6 + -3)*37. Suppose n - 37 = -0*n - 3*w, -5*n + 4*w = -s. Is n a prime number?
True
Let o(g) = 877*g**3 - g**2 + 1. Is o(1) composite?
False
Suppose c = 551 + 140. Is c a prime number?
True
Let v = 1 + 3. Let j(w) = 5*w**2 - 2*w + 5. Is j(v) a prime number?
False
Let x(q) = 16*q**2 + q + 2. Let w be x(-2). Let n = w + -133. Let y = -34 - n. Is y a prime number?
False
Let c(r) = 22*r**2 - 6*r - 2. Let n be c(-5). Let a = -355 + n. Is a a composite number?
False
Suppose -a = 3*x + 3*a + 1, 0 = -x - 4*a - 11. Suppose 2*k + 5*t + 4 = -6, -t + 21 = x*k. Suppose z = 5*y - 459, -2*y + 0*z = k*z - 162. Is y a prime number?
False
Let d(o) = -o**3 + 12*o**2 - 5*o - 5. Is d(6) prime?
True
Let s be 22*((-26)/(-4))/(-1). Let c = s - -249. Let p = c - 51. Is p composite?
True
Suppose -5*h - 280 = 2*j, 2*h - 207 = 6*h + 5*j. Let y = -36 - h. Is y composite?
True
Is 5/(2/(-388)*(-4 - -2)) prime?
False
Let j(k) = k + 6. Let u be j(-5). Let r = 1 + -1. Suppose r = -w + 14 - u. Is w a prime number?
True
Let n = 167 + -40. Suppose -2*r + r + n = 0. Is r a composite number?
False
Let j(n) = -2*n**2 + 14*n - 2. Is j(4) composite?
True
Suppose -2*k + 4 = -2*o - 118, -4*k = -12. Let n = o + 135. Is n prime?
False
Let y = -6 + 6. Suppose 2 = -o, y = -7*a + 2*a - 3*o + 589. Is a a prime number?
False
Let f be (-24)/15 + (-4)/10. Is (f - -2)/(-3) - -7 a prime number?
True
Let m = 16 + 16. Suppose -g = 7 - m. Is g a prime number?
False
Let i be 382/1 - (-10 + 10). Let r = i - 179. Is r a composite number?
True
Let u(d) = -28*d**3 - 5*d**2 + 2*d + 6. Is u(-5) composite?
False
Suppose 5*f = -297 + 1022. Suppose -5*b + f = -90. Is b a prime number?
True
Let s be 3/(2 + 1) + 291. Let n = s - 659. Is 12/(-16) - n/4 a composite number?
True
Let h = 93 - 58. Is h a prime number?
False
Let u(x) = -44*x - 4. Let f(b) = 87*b + 8. Let n(v) = 3*f(v) + 5*u(v). Is n(3) prime?
True
Let h(q) = 22*q**2 + 12*q + 27. Is h(-4) a composite number?
False
Let h(m) = -m**2 - 4*m - 2. Let l be h(-2). Let o be (-1)/(l*2/(-4)). Is 6 + (2 - o) - 0 prime?
True
Let a(b) = 17*b**2 - 4*b - 2. Is a(-3) composite?
False
Let o = 11 + -8. Suppose 2155 = o*a + 2*a. Is a composite?
False
Let g = -32 + 111. Is g composite?
False
Let c = 72 - 108. Let v = c + 69. Is v a composite number?
True
Suppose y - 80 = 87. Is y a composite number?
False
Let b be 3/(-5)*(-6 - -1). Let i be b*((-7)/3 - -3). Suppose -5*r + 5*f + 565 = 0, i*r - 6*r + 5*f = -456. Is r a composite number?
False
Suppose -b - b = -22. Let u be (-375)/55 - 2/b. Let i(r) = -r**3 - 4*r**2 + 9*r + 5. Is i(u) a prime number?
True
Suppose -3*t + t + a = 25, 0 = 4*t - 4*a + 60. Let p be 54/t - 15/25. Is p/(-18) - 230/(-3) composite?
True
Let x(l) = 0*l**2 + 0*l**2 - l**2 + 17*l. Let k be x(9). Suppose 5*v + 5 = -0, -5*h + k = 3*v. Is h a composite number?
True
Let y be (6 - 54)*(-1)/2. Suppose 81 + y = 5*o. Is o a composite number?
True
Suppose c + 4*c = 1465. Is c prime?
True
Let u = 1 + -1. Suppose u = m + 4*m - 125. Is m composite?
True
Let i(q) = 6*q + 13. Suppose 0 = 2*g + 10, -3*g = -5*f - g + 70. Is i(f) a prime number?
False
Suppose 2*g - 271 - 343 = 0. Is g composite?
False
Let b = -1276 + 3435. Is b prime?
False
Let q be 1/4 + (-9)/(-12). Let u = q + 5. Is u a prime number?
False
Let m(c) = c**3 - 3*c**2 + c - 3. Let l(v) = v**2 - 3*v - 1. Let o be l(4). Let z be m(o). Suppose -195 = -3*b - z*b. Is b a prime number?
False
Suppose -4*w + 6 = -2*w. Let c = 2 + w. Suppose -c*k + 154 = -191. Is k composite?
True
Suppose 2*q - 4*q = -6. Let p(n) = 4*n**2 + q*n - 9*n**2 - n**3 + 3*n**2 - 7. Is p(-6) a prime number?
False
Let v(s) = -4 - 82*s + 5 - 5 + 5. Let r be v(-3). Suppose 3*d + 2*x - r = 0, d + 3*x = -45 + 13