f u**7/168 + u**6/120 - u**5/40 + u**4/8 - 2*u**3/3 + 3. Let h(d) be the third derivative of o(d). Is h(2) composite?
True
Let z(o) = -22*o - 9. Is z(-6) a prime number?
False
Suppose 0 = -v - 3*v. Suppose -2*n + 22 = -v. Is n prime?
True
Let c = 0 - -5. Suppose v = c*v + 68. Let z = -10 - v. Is z a prime number?
True
Suppose b + 20 = 3*y, 4*b = -y - 1 - 14. Suppose -y*w + 20 = -w. Suppose 0 = w*z - 53 + 3. Is z prime?
False
Let k = -116 - -231. Is k composite?
True
Suppose 0*k + k = 56. Let w = k + 33. Is w a prime number?
True
Is -838*(-4)/((-24)/(-3)) a composite number?
False
Let p be 1/(1/108*-2). Let u be 4/10 - p/15. Suppose -i + 240 = u*y - 473, -521 = -3*y + 2*i. Is y a prime number?
False
Suppose 2*s - 45 - 199 = 0. Is s composite?
True
Suppose -3*i = -4*g - 11, 2*g - i + 11 = -3*g. Let p = 3 - g. Suppose p*u - 251 = u - 3*n, 316 = 5*u + 3*n. Is u composite?
True
Let y = -166 + 293. Is y a composite number?
False
Let y(m) = -100*m + 3. Let k be y(-4). Suppose n = 5*n + 1104. Let x = n + k. Is x a composite number?
False
Let d = 145 + 6. Suppose d = 4*c - 137. Suppose s + a - 4*a - 32 = 0, 0 = -s - 5*a + c. Is s prime?
True
Let r(l) = 28*l**2 + 3*l - 6. Is r(-7) a prime number?
False
Suppose -u - 2 = -3*u. Is u*-2*(-665)/10 prime?
False
Let f(k) = k - 1. Let c(w) = -2*w**2 + 4*w - 4. Let a(o) = -c(o) - 2*f(o). Is a(7) a composite number?
True
Let x be 8072/11 - (-10)/55. Let d = x + -511. Is d prime?
True
Suppose 0 = 6*k - k - 5*p, -2*p + 20 = 2*k. Suppose -q + k*q - 16 = 0. Suppose -3*l - 5*m + 5 = 0, -q*l = l - m - 55. Is l a composite number?
True
Let i(m) = -2*m + 1. Let k be i(2). Let r be 2*(1 - k/(-6)). Is (4/(-10))/(r/(-35)) composite?
True
Let o = -103 + 266. Is o a composite number?
False
Is (-3117)/(-7) + (-16)/56 a composite number?
True
Let x(y) = -21*y - 1. Let u be x(-2). Suppose 2*t - 2*f - 107 - u = 0, 5*t + 2*f = 335. Is t composite?
True
Let t be -20 - (3 - (2 - 0)). Let j be 2/(-9) + t/27. Is j + (1 + 1 - -96) a composite number?
False
Let r = 131 - -18. Is r a prime number?
True
Let m(c) = -11*c**2 + c. Let g be m(3). Let l = g - -207. Is l prime?
False
Let r = 14 + -10. Suppose -3*p = -2*x + 3*x - 193, 0 = r*p + 5*x - 250. Is p a composite number?
True
Suppose 4*b = a - 297 - 18, 0 = a - 2*b - 311. Is a a composite number?
False
Let u = -158 - -235. Is u a composite number?
True
Suppose 44 = -4*h + 6*h. Is h prime?
False
Let n(r) = r + 9. Let d(s) = -6*s - 45. Let j(x) = -5*d(x) - 24*n(x). Is j(13) prime?
False
Let s(g) = g + 18. Let y be s(-10). Is (-596)/2*y/(-16) a prime number?
True
Let f(y) = 5*y + 15. Let m be f(8). Let i = 78 - m. Is i prime?
True
Let o = 718 + -273. Is o a composite number?
True
Suppose -2*m - m = -9. Suppose m*w + w - 836 = 0. Is w a composite number?
True
Suppose -1557 - 388 = -5*c. Is c prime?
True
Let k = 74 - -117. Is k composite?
False
Suppose 4*m - 814 = -2*f, -238 = 4*f + 5*m - 1851. Suppose f = 2*n - 25. Is n prime?
True
Let a = 33 - 17. Suppose -p = -5*p + a. Suppose 5*n + 0*n + p*i = 90, -50 = -5*n + 4*i. Is n a composite number?
True
Suppose 0 = -5*d - 15, -3*b + 2*d - 327 = 546. Let m = 201 + b. Let y = 151 + m. Is y a composite number?
False
Suppose r = -4*r + 4*o + 6917, -3*o + 4161 = 3*r. Is r prime?
False
Suppose -2*v + h - 4*h = -1, v - 5*h = 7. Suppose -4*z - 3*g = -389, -z - 4*g = -v*z + 83. Is z a prime number?
False
Let c = -12 - -20. Let m = c - 11. Let u(x) = 4*x**2 + 2*x + 1. Is u(m) a composite number?
False
Let d be 15/(-10)*(1 + -13). Suppose 3*s - d = 243. Is s a prime number?
False
Suppose 10 = -0*f + 5*f. Suppose 0 = -4*o + 3*b + 376, -f*o - o - 3*b + 303 = 0. Is o composite?
False
Is ((-7)/21)/((-632)/(-633) - 1) a composite number?
False
Suppose w - 4*w - 39 = 5*b, -18 = 2*b + 2*w. Let x be 6/4 - (-4)/8. Is 3/x*(-148)/b composite?
False
Let y(q) = -q + 1. Let o be y(-2). Suppose 0 = o*f + 2*f - 1105. Is f a prime number?
False
Let u(q) = -40*q - 3. Suppose -3*y = 2*y + 3*h + 15, 4*h + 20 = 3*y. Let r be 3/(9/(-6)) - y. Is u(r) a prime number?
False
Let o(a) = -a + 5. Let t(i) = 4*i**3 - i**2 + 1. Let p be t(1). Let j be o(p). Suppose 3*u + j - 19 = 0. Is u a prime number?
False
Is (-2248)/(-5) + (-69)/115 composite?
False
Suppose -3*o - 4*f = -0*o + 4, 2*f + 8 = 0. Suppose 3*n - o*g - 161 = 0, -2*n = -g - 86 - 23. Is n composite?
True
Let r be -4*6/(-2)*-1. Let b = r - -18. Suppose -65 = q - b*q. Is q prime?
True
Suppose -q + 37 + 14 = 0. Is q prime?
False
Let u = -4 - -6. Suppose u*y = k - 18, y + 108 = 3*k + 2*k. Suppose -x - k = -w, -15 = -2*x - 3*x. Is w prime?
False
Let u = -20 + -52. Let k = u - -319. Is k composite?
True
Is 0 + (-2)/((-6)/393) composite?
False
Suppose -4*x = 11 - 31, 3*x = 2*j - 85. Let u = -35 + j. Is u a composite number?
True
Let x = 4758 - 2321. Is x prime?
True
Let y be 0/1 + -2 + 4. Let c(u) = -5*u + 7 - 4*u**2 + 4*u + u**3 + y*u. Is c(5) a composite number?
False
Suppose s + 1262 = m, 894 - 7201 = -5*m + 4*s. Is m prime?
True
Let l(p) = -p**3 + 2*p**2 + 3*p - 2. Let w be l(2). Let b = w - 4. Suppose b = -j + d - 4*d, 10 = -2*d. Is j prime?
False
Let b(o) = o**3 - 15*o**2 + 11*o - 19. Let i be b(17). Is ((-1)/2)/((-1)/i) a prime number?
True
Suppose g - 49 = 450. Is g prime?
True
Is -5 - (3 - 257) - 1*-2 prime?
True
Is (1778/6)/(11/33) a composite number?
True
Let j(v) = -4*v**2 - 3*v - 56. Let x = -11 - -8. Let i(f) = -7*f**2 - 5*f - 111. Let s(t) = x*i(t) + 5*j(t). Is s(0) a prime number?
True
Let m = 0 - 0. Suppose 4*y - 5*y - 3*l + 198 = m, 819 = 4*y + 3*l. Let d = y + -140. Is d composite?
False
Suppose 0*a - 3*x = 5*a - 450, -4*a + 323 = -5*x. Is a a prime number?
False
Suppose 3*n + 3*g - 93 = 297, -2*g = -6. Is n a composite number?
False
Is ((-111)/(-9))/(1/3) prime?
True
Let z = 0 + -1. Let g be 10*(-6)/8*-2. Is (g/9)/(z/(-15)) a composite number?
True
Let q = -89 + 202. Is q composite?
False
Let f(c) = -23*c - 17. Is f(-20) prime?
True
Let g(i) = -355*i - 1. Let f be g(-4). Suppose -5*o = -f + 144. Suppose 3*h - o = -0*h. Is h a composite number?
True
Suppose -2*o + 2*m + 122 = -2*m, -3*m = 2*o - 101. Suppose f + o = 2*f. Is f a prime number?
False
Let z(p) be the first derivative of -9*p**2 - 5*p - 3. Is z(-3) prime?
False
Suppose -4*h - 2*v = -h - 278, -2*h + 207 = -3*v. Let t be (9/6)/((-3)/(-4)). Suppose -h = -t*m - 22. Is m prime?
True
Is (-753)/(-3)*(8 + -1) a prime number?
False
Suppose 0*f = f. Let p(l) = 5*l**3 - 5*l**2 + 5*l - 211. Let c(b) = -b**3 + b**2 - b + 53. Let m(o) = 9*c(o) + 2*p(o). Is m(f) prime?
False
Suppose 1 + 9 = -5*c. Is (-1 - c)*3075/15 prime?
False
Let q be (-2158)/6 - 10/(-15). Let t = q - -214. Let i = 276 + t. Is i composite?
False
Let j = -3 - 2. Let t(c) = 12*c**2 - 6*c - 1. Is t(j) a composite number?
True
Let y(f) = 11*f**3 - f**2 + f + 2. Let s be y(3). Suppose -4*x - 143 = s. Let n = x + 272. Is n composite?
False
Let d(c) = 254*c - 17. Is d(2) composite?
False
Suppose s - l + 774 = 4*s, 0 = s - 5*l - 242. Is s a composite number?
False
Suppose 0*j - 4*j = -388. Is j a prime number?
True
Let k = -6 + 25. Suppose t - 3*m = -2*t + 3, 3*m + k = -t. Is t/4*(-1 + -30) composite?
False
Suppose -2*w + 18 = -2*t - 0*t, 3*w - 2*t - 29 = 0. Suppose 3*r = -i + 2*i + 66, 4*i = r - w. Is r a prime number?
True
Let l be 1/2 + (-6)/4. Let n be (-2 + (l - -2))*0. Suppose 2*t + 0 - 6 = n. Is t a prime number?
True
Suppose t - 107 = 162. Let h = t + -142. Is h prime?
True
Let l(j) = -130*j + 1. Let n(r) = r. Let p(i) = l(i) - 2*n(i). Let w = 1 - 2. Is p(w) composite?
True
Let s(d) be the third derivative of -d**5/60 - 5*d**4/12 - 3*d**3/2 - 2*d**2. Let a be s(-9). Suppose y = r - a*y - 80, y = -3. Is r a composite number?
True
Suppose 6*y - 8813 = -y. Is y composite?
False
Suppose 288 = 3*o - 2*t - 169, 0 = -o - 2*t + 163. Suppose 3*v = 2*v + o. Is (v/10)/((-1)/(-2)) composite?
False
Suppose 0*m = -2*m - 344. Let q be (-2)/(m/174 - -1). Let n = q - -335. Is n composite?
True
Suppose 10352 + 6269 = 11*t. Is t composite?
False
Let i(q) = -q**3 + 2*q**2 - 2*q + 1. Let v be i(1). Suppose v = -7*k + 6*k + 97. Suppose 5*m - 8 - k = 0. Is m a composite number?
True
Let b be (-1)/(((-3)/30)/1). Suppose -l = -0*l + b. Is 1/(-2) - 1915/l prime?
True
Let b(j) = -j**3 + 9*j**2 + 11*j - 5. Let a be (2 + 