79 - 1948. Is a prime?
True
Let c(g) = -11*g**3 + 7*g**2 - 3*g - 4. Is c(-5) prime?
False
Let z(g) = -68*g - 41*g - 32*g. Let n be z(2). Is 3/(-12) + n/(-8) a composite number?
True
Let l(c) = 2*c**3 - 5*c**2 + 11*c - 3. Is l(8) prime?
False
Let o(u) = -u**2 - 9*u - 7. Let t be o(-7). Let g(h) be the third derivative of h**5/30 - 5*h**4/12 + 3*h**3/2 - 2*h**2. Is g(t) composite?
False
Let f(c) be the third derivative of -c**6/15 + c**5/60 + c**4/24 + c**3/6 - 5*c**2. Let b = 0 + -3. Is f(b) composite?
False
Suppose 0 = 2*g - 0*g - 11038. Is g a composite number?
False
Let s be (0 + 0)/(-1) - -1. Let p be -1 - -3 - (-1 - s). Suppose -5*j + 3*c + 387 = -2*j, c = p*j - 510. Is j prime?
True
Let x(z) = -z + 1. Let t be (3/(-9))/((-1)/(-3)). Let m(k) = 29*k. Let o(y) = t*m(y) - 3*x(y). Is o(-5) composite?
False
Let h = 59 + -34. Is h a composite number?
True
Suppose -3*i + 48 = -0*i. Is i/(-12)*33/(-2) prime?
False
Let o = 10 - 3. Suppose 2*t + 95 = o*t. Suppose -3*l = -t - 44. Is l a composite number?
True
Is (0 + 2)/(2/337) composite?
False
Suppose 0*i - 9 = 3*i. Let n be 2/(-6) - 106/i. Let d = -2 + n. Is d a prime number?
False
Suppose -5*z = -2*z - 75. Suppose 102 = f - z. Is f composite?
False
Let v(j) = 34*j**2 - 3*j + 10. Is v(15) composite?
True
Let u(p) = 210*p**2 - 5*p + 7. Let l(y) = -315*y**2 + 8*y - 11. Let x(k) = 5*l(k) + 8*u(k). Is x(1) prime?
False
Suppose -2*x + 18 = 3*o, 33 = 2*x + x + 3*o. Let z(j) = 26*j + 21. Is z(x) a composite number?
True
Is 12/(-15) + 20872/40 a prime number?
True
Let d(i) = i**2 - 6*i - 2. Suppose 0 = -2*g, 0 = -7*l + 2*l - 3*g + 25. Suppose 5*f - 2*f = -3*s - 15, -f - 25 = l*s. Is d(s) a composite number?
False
Let a(o) = -o**2 + 44*o + 8. Is a(21) a prime number?
True
Suppose 3*f = -4*a + 54, 0 = -5*f - 0*a - 5*a + 85. Let r = f + 139. Suppose m + 2*m - r = 0. Is m composite?
True
Is 5*(7892/20 - 0) a prime number?
True
Let i be -2 - 286/(2/1). Let k = 4 - i. Is k a composite number?
False
Let j(v) = 12*v + 3. Let p(z) = z + 1. Let y(s) = j(s) - 4*p(s). Let g = 1 + 0. Is y(g) prime?
True
Let w = 360 + -82. Is w composite?
True
Suppose 3*f - 10 = -4. Suppose -4*w = -3*k + 159, -3*k + f*w = -6*k + 141. Is k composite?
True
Let x(j) = -4*j - 2. Let g be x(-2). Suppose v - 1 + g = -3*z, 5*z + 25 = -5*v. Suppose 3*w - w - 134 = z. Is w prime?
True
Let d be (-1)/(-3) + 1/(-3). Suppose -4*r = -d*r - 16. Let g = -1 + r. Is g prime?
True
Let n = 353 - 174. Is n a composite number?
False
Suppose -2*c = -43 + 13. Let i be 6/c + 4/(-10). Suppose -q + i*q = -10. Is q a prime number?
False
Let q(s) = 2197*s + 4. Is q(3) a prime number?
False
Let s = 5 - 4. Suppose -s = -0*i - i. Is (i/(-2))/(3/(-294)) a composite number?
True
Suppose 0 = b + 3*k + 11, -13 = -2*b + b + 5*k. Let p = b + -43. Is 96/5 - (-9)/p composite?
False
Suppose 5*v = 25 + 100. Let d = 62 + v. Is d prime?
False
Let m = -162 - -341. Is m prime?
True
Let k(q) be the first derivative of -q**5/60 + 3*q**4/8 - 5*q**3/6 + q**2 + 1. Let u(j) be the second derivative of k(j). Is u(6) prime?
True
Let c be (1 - 3) + (4 - -171). Suppose 5*r - 4*n - c = -3*n, 4*n - 43 = -r. Is r a prime number?
False
Suppose -2*r = -41 + 3. Is r prime?
True
Let b(j) = -j**2 + 22*j - 35. Let r be b(20). Suppose -2*v = -2*q + 18, -v - 2 = 3*q - 9. Suppose 13 = 2*p - p - r*u, 3*u = q*p - 137. Is p a composite number?
True
Suppose 6*y = -3*y + 15021. Is y composite?
False
Let g(y) = 203*y - 22. Is g(5) a composite number?
True
Let j = -6 + 6. Is -3 - (-349 + (-1 - j)) a composite number?
False
Suppose 2 = 4*m - 2*v - 0, 4*v + 24 = -2*m. Let o = m + 5. Suppose -o*i + 127 = -2*i. Is i a prime number?
True
Let q be ((-82)/4)/((-3)/36). Suppose -2*n - 2*i + 505 = n, -2*n - 4*i + 342 = 0. Let j = q - n. Is j a prime number?
True
Let l(z) be the first derivative of 4*z**3/3 - 3*z**2/2 - z + 3. Let a be l(5). Suppose 2 = c, -4*q = 2*c + 2*c - a. Is q a prime number?
True
Let r be -4*1/(-2)*-1. Is ((-7)/r)/(1/22) a prime number?
False
Let c = -29 + 20. Let p(b) = b + 11. Let q be p(c). Is 4/(-2) - (-110)/q prime?
True
Suppose -4*r + 8 = -140. Let z be r + 2/(-1 - -3). Let q = z + -13. Is q a composite number?
True
Let y be -3 + 1/((-1)/(-780)). Let x be (14/4)/(2/4). Suppose -4*l - y = -x*l. Is l prime?
False
Is 16/56 + (-3594)/(-14) a prime number?
True
Suppose 4*y - 13576 = -5*a, 2*a - 3*a = -2*y + 6774. Is y composite?
False
Let o(f) be the third derivative of f**7/63 + f**6/720 - f**5/60 - 2*f**2. Let h(s) be the third derivative of o(s). Is h(2) a prime number?
False
Let h be (-76)/(-18) - 4/18. Suppose 4*u - 7 = j + 9, -h = -u + 3*j. Suppose 167 = 5*d - 4*m, -u*d + m = 2*m - 142. Is d composite?
True
Let w(j) = -20*j - 9. Suppose i = -2*i - 12. Is w(i) a composite number?
False
Suppose -4*q = -7 - 5. Let j be (2 + -2)/(-1*q). Suppose j = 2*s + 5*z - 23, 0*s - s = -4*z - 18. Is s prime?
False
Let h = -178 + 321. Is h composite?
True
Suppose -33 = 5*b + 3*d, b = -4*d + 2 - 12. Is ((-3)/b)/((-1)/(-62)) a composite number?
False
Suppose -5*w + 2*h = -h - 8, 4*w - 5*h = -4. Let d(s) = -3*s + 3*s + s**2 + w*s - 1. Is d(-6) a composite number?
False
Let c(z) = -11*z**3 + 6*z**2 - 2*z + 2. Let m be c(4). Let l = -295 - m. Is l a composite number?
True
Let k(v) = -2*v**3 + 2*v**2 + 3*v + 3. Let h be (8/6)/(2/27). Suppose -4*q = 5*b + h, -4*q - 4*b = -7*q + 2. Is k(q) composite?
True
Let d(x) = -34*x**2 + 168*x**2 + 25*x + 1 - 23*x. Is d(-1) a prime number?
False
Let y = -4 + 6. Suppose -y*q + p - 114 = 0, 5*q + 286 = 4*p - p. Let u = -34 - q. Is u a composite number?
True
Suppose 3*n = 2*n + 4. Let l = n + -4. Suppose l = -4*q + 3 + 25. Is q a prime number?
True
Suppose -4*v = -66 - 90. Let g = 6 - v. Let q = -22 - g. Is q prime?
True
Let h(v) be the third derivative of -v**5/60 - 19*v**4/24 - 5*v**3/6 - v**2. Is h(-10) a composite number?
True
Let p be 114/27 + 4/(-18). Let s(n) = 23*n - 7. Is s(p) a prime number?
False
Suppose 14*i - 6769 = 7*i. Is i a prime number?
True
Let s = 1121 - 672. Is s a prime number?
True
Is 657 - ((5 - 2) + 1) a composite number?
False
Suppose 11*v - 1828 = 999. Is v prime?
True
Let d(y) = y**2 - 2*y - 5. Let p be d(-9). Let x = p - 61. Is x composite?
True
Let n = -66 - -135. Is n a composite number?
True
Suppose 2*z = -104 - 214. Let h(d) = -4*d**2 - 2*d - 2. Let m be h(-5). Let f = m - z. Is f composite?
False
Let n(x) = -62*x + 13. Let m(o) = 61*o - 12. Let h(y) = 4*m(y) + 3*n(y). Is h(7) a composite number?
False
Suppose 5*w = 4*q + 1242, q = 6*q + 15. Let m = 431 - w. Is m composite?
True
Let n(a) = 11*a**2 - 22*a - 10. Is n(14) composite?
True
Suppose 9 + 15 = 2*w. Is (6/w)/(1/14) a composite number?
False
Is 718*4/8 + 3 prime?
False
Suppose 2*s - 6 + 2 = 0. Suppose -s*r + 141 = r. Is r a composite number?
False
Is (4/(-6))/(2/(-12)) a composite number?
True
Suppose 0 = 3*r + 3, 2*s - r + 4 - 9 = 0. Let h = s + 4. Let x(l) = 3*l + 5. Is x(h) a composite number?
False
Suppose 0*p - 6 = -2*p. Let r be 0/1 + (-1 - -3). Is p/((-3)/(-17)) + r prime?
True
Suppose 3 = -3*f + 9. Suppose 0*o - 20 = f*o. Is 107/5 + 4/o prime?
False
Let w = 730 - 435. Suppose 3*u = 4*u - w. Is u a composite number?
True
Let o = 3881 - 2224. Is o a prime number?
True
Suppose -u = 413 - 1282. Is u a composite number?
True
Let l = 427 - 300. Is l composite?
False
Let t(l) = 28*l**2 - 22*l + 7. Is t(-12) prime?
False
Suppose -2*x + 8 = 2. Suppose x*j + 0*j = -3. Is 39*(j + 8/3) a prime number?
False
Suppose 0 = -5*v - d + 89 + 191, -3*v = -d - 176. Is v a prime number?
False
Let x = 9 - 8. Let k be (-6)/3*(x - 45). Let w = k - 9. Is w prime?
True
Suppose -939 = -4*o + 5*u, -3*o = -0*u - u - 707. Suppose 2*s + 36 - o = 0. Suppose 0*k - 2*t - 72 = -3*k, -4*k = -4*t - s. Is k composite?
True
Let k = 18 + -12. Suppose -4*r = -k*r. Suppose s - 2*z - 2 = r, 0*s = s + 4*z - 2. Is s a composite number?
False
Suppose 25 = 3*y + 2*y. Suppose -4*t - 15 = -7*t, 5 = y*x - 4*t. Suppose -x*p = -k - 240, 5*k + 122 + 44 = 3*p. Is p a composite number?
False
Let k be (5 + -31)*9/2. Let m = k - -206. Is m a prime number?
True
Suppose 5*y - 4*n - 4521 = -0*n, 4*n + 917 = y. Is y a composite number?
True
Let f = 6 - 1. Suppose -2*l + 212 = 3*p, f*p = -0*l - 3*l + 318. Is l prime?
False
Let t = 1914 - 