3. Is k a prime number?
False
Let x be (-3 - -9) + (-1 - -3). Let i(d) = -d**2 + 18*d - 3. Is i(x) a composite number?
True
Suppose 2*n - 5*c = n + 40, 2*c = -n + 5. Suppose s - n - 56 = 0. Is s a prime number?
True
Let j(v) = -v**2 + 6*v + 6. Let n be j(6). Let b = n - 1. Suppose 5*z + d = 4*d + 49, -4*d - 47 = -b*z. Is z composite?
False
Let j be -2*(2 - 1) + 12. Suppose 2*l - 4*l = -j. Suppose 6*z - z + 3*m = 571, -l*m + 123 = z. Is z prime?
True
Let a(s) = s**2 + 4*s - 10. Let g be a(-6). Suppose 0 = 4*f + 3*q - 895, -4*q = g*f - 237 - 213. Is f a composite number?
False
Let j = 80 + 63. Is j a composite number?
True
Let m(a) = a + 15. Suppose 22 = -3*c + c. Let g be m(c). Suppose -g*d + 245 = d. Is d a composite number?
True
Suppose -4*x + 14 = 5*i, 8*x = 3*i + 3*x - 1. Is 4/(-8) - (-187)/i prime?
False
Let s(q) = q**2 - 4*q - 5. Suppose 0 = 2*b + 3*b + 30. Is s(b) a prime number?
False
Let k(h) be the third derivative of h**6/120 - h**5/20 - 7*h**4/24 - h**3/3 + 3*h**2. Is k(5) a prime number?
True
Suppose -v + 2*a = -4, 5*v - 8 = 5*a + 12. Suppose -267 = -v*m + m. Is m composite?
False
Let x be (8/(-6))/(14/(-21)). Let o(k) = 1 - 3*k**2 + 7*k + 0*k**2 + 2 + 2*k**x. Is o(7) prime?
True
Suppose 5*d - 2*k = 793, -636 = -4*d - 4*k + 6*k. Is d prime?
True
Let y = 815 + -366. Is y prime?
True
Let k(h) = 2*h**3 + 13*h**2 + 5*h - 9. Let y(o) = o**3 + 7*o**2 + 3*o - 5. Let i(r) = 6*k(r) - 11*y(r). Is i(2) composite?
False
Let w(l) be the third derivative of l**5/20 - l**4/3 - 2*l**3/3 - 2*l**2. Let g be w(8). Suppose 16 = 4*q - g. Is q composite?
True
Suppose -2*m - 3*l - 2 = -0*l, -4*m - 4*l = 0. Suppose m*p + 5*a - 88 = 0, 3*p = 5*a - 3*a + 94. Is p prime?
False
Let o(n) = 73*n + 1. Let c be o(3). Suppose 3*h = y - c, 2*y - 2*h - 667 = -y. Is y a composite number?
False
Suppose -3*n - 2*h + 13891 = 0, 3*h + 8190 = 3*n - 5706. Is n prime?
False
Let y = 1 + 212. Let v be 3*(482/6 + -3). Suppose 5*f = v + y. Is f a prime number?
True
Suppose -2 = 2*h - 3*p + 4, p = -2*h + 2. Let n = h + 2. Suppose -6*q + 148 = -n*q. Is q a composite number?
False
Suppose -4*k + 4 = -3*r, 2*r + 2*k = -r + 2. Suppose r*z + 3*z = 141. Is z composite?
False
Let n(v) = v**2 - 3*v. Let m be n(3). Suppose m*r - 394 = r. Let y = -161 - r. Is y prime?
True
Let j = -762 - -1069. Is j composite?
False
Let m(y) be the second derivative of 7*y**3/2 - 4*y**2 - 3*y. Let c be m(8). Suppose 0 = -4*i - 2*r - 2*r + c, -4*r = -5*i + 173. Is i a prime number?
True
Let n(l) = -2*l**2 - 11*l - 9. Let y be n(9). Let g = -155 - y. Is g a composite number?
True
Let q = -17 - -1. Is 6/18 + q/(-6) a composite number?
False
Let t be (-117)/(-3) - (0 - 1). Suppose 2*c - 66 = t. Is c composite?
False
Let f be (-6)/(-30) - (-646)/(-5). Is (f/5)/((-3)/15) a composite number?
True
Let t = 2021 + -1128. Is t a composite number?
True
Let d(m) = -29*m - 8. Is d(-3) composite?
False
Suppose 0*v + 4*v = -376. Let q = 983 + v. Is q prime?
False
Let u(c) = 7*c**3 + 5*c**2 - 2*c - 1. Let a(n) = 15*n**3 + 11*n**2 - 4*n - 3. Let v(i) = -2*a(i) + 5*u(i). Is v(2) prime?
False
Let x(q) = -127*q**3 + q**2 - 2*q - 1. Let s(j) = -j**3 + j**2. Let d(p) = -s(p) + x(p). Is d(-1) a prime number?
True
Let i(d) = -3*d**2 + 2*d + 6. Let y(r) = 3*r**2 - 2*r - 6. Let b(j) = -5*i(j) - 4*y(j). Is b(5) a composite number?
False
Let x(h) = 5*h**2 - 8*h + 8. Let c be x(-7). Let u = c + -182. Is u a prime number?
True
Suppose -3*f - 8 = -a, 0 = -2*a + a - f + 8. Is a/(-12) + (-671)/(-3) a prime number?
True
Is -1 - (-26 + -3 + 2) a composite number?
True
Suppose 0 = -2*r + 5*r - 60. Suppose 2*w = -2*w - r. Let n(g) = -g**3 - 4*g**2 + 4*g - 3. Is n(w) a prime number?
True
Suppose -4*a - 104 = 112. Let m = 145 + a. Is m a prime number?
False
Let w(g) = g - 5. Suppose 0 = -4*h + 8, -3*h = 4*z - 2*z - 22. Is w(z) a composite number?
False
Let n(f) = -f**2 + 16*f + 3. Is n(12) composite?
True
Is (-2)/(-2) + 9 + 547 prime?
True
Let i(u) = 124*u - 7. Is i(3) prime?
False
Suppose -5*b + 34 + 36 = 0. Suppose -4*l = 4*i - 42 + b, 10 = -5*l + 4*i. Suppose 0*j = l*j - 182. Is j a prime number?
False
Suppose -2*k + 3*a + 170 = 0, 0 = -5*k + 3*a - 252 + 677. Is k composite?
True
Suppose y - 1 = -0*y. Is y/(-3)*1785/(-5) a prime number?
False
Let x(i) = 111*i + 1. Suppose 4 = -3*q - 3*w + 37, q - 2*w - 2 = 0. Is x(q) a prime number?
False
Let t = -7 + 9. Suppose 0*z - 5*p = -t*z + 14, -5*z - 5*p = 0. Suppose z*m - u = -0*m + 98, 0 = 2*m + u - 98. Is m a prime number?
False
Suppose 3789 - 181 = 8*d. Is d a prime number?
False
Suppose 1580 = t + 3*t. Is t prime?
False
Let c(k) be the first derivative of -7*k**2 + 4*k - 1. Is c(-3) a prime number?
False
Let k(v) = 65*v - 2. Let a be k(1). Is a - ((-9)/(-3) - -1) a composite number?
False
Let m(i) be the second derivative of 3*i**5/20 - i**4/2 + 5*i**3/6 + i**2/2 - 2*i. Is m(5) prime?
True
Let t(w) = w**2 + 5*w + 3. Let z be t(-5). Suppose -z*m + 116 = 2*q - 449, m + 2*q - 191 = 0. Is m prime?
False
Let m be -3 + -41 - -3 - -4. Let t = -18 - m. Is t a composite number?
False
Let a be ((-2)/(-1))/(2/772). Suppose 166 + 582 = 4*n + 4*l, a = 4*n - 2*l. Is n prime?
True
Let q(i) = -i**3 + 15*i**2 + 22*i - 19. Suppose 0 = 2*z + t - 34, 5*z = -3*t - 0*t + 86. Is q(z) composite?
True
Let x(f) = 3*f**2 + 2*f + 1. Let u be x(-1). Let o(z) = -3*z - 4. Let b be o(-5). Suppose 5*j - 2*w = b + 89, -78 = -4*j + u*w. Is j prime?
False
Let s(n) = -n**2 + n + 84. Let v be s(0). Suppose q - v = -5. Is q composite?
False
Suppose 5*r - u + 2*u - 115 = 0, -4*r + u + 101 = 0. Let t be -1 + 1 + (-1 - r). Let c = t + 51. Is c a composite number?
True
Suppose -2*l - 3*l + 740 = 0. Suppose -3*a + l = a. Is a a prime number?
True
Suppose 0*i = 4*i. Suppose i = 4*r + 4*z - 1060, -z = 3*r - 368 - 423. Is r a composite number?
False
Suppose 123 = 5*f - 4*r + 16, -5*f + r = -98. Suppose 0 = -2*q + 3*y + f + 42, -q - y + 38 = 0. Is q prime?
False
Let v(q) = q**3 - 12*q**2 + 26*q + 25. Is v(18) prime?
True
Suppose 0 = -5*j + 20 + 40. Let v = 7 + j. Is v composite?
False
Let n = -69 - -340. Is n a composite number?
False
Let d(x) = -8*x**2 - 6*x + 1. Let w(u) = -16*u**2 - 11*u + 2. Let i(a) = -5*d(a) + 3*w(a). Let p(z) be the first derivative of i(z). Is p(-5) composite?
True
Let y = 937 - 373. Suppose 3*a + 1099 = 196. Let s = y + a. Is s composite?
False
Suppose -5*i - 2*o - 25 = 0, -3*i = -7*o + 2*o - 16. Is (-2)/((-1298)/(-434) + i) prime?
False
Suppose 0 = 2*r + r - 3. Let q(k) = 48*k**3 + 2*k**2 - k. Is q(r) composite?
True
Let c be (80/12)/((-2)/(-150)). Suppose 0 = -0*w + 4*w - 4*o - c, 0 = -2*w - o + 256. Is w prime?
True
Let s = 3 + -5. Let g be s*(-1)/2*19. Suppose -g = -u - 5. Is u composite?
True
Is (17 - -36)/(1/5) prime?
False
Suppose 6*s = 3*s. Suppose s = 2*a + 310 - 860. Suppose -3*j + u + a = -3*u, -3*j - 2*u + 245 = 0. Is j prime?
False
Suppose -54 = -3*t - 222. Let m = t + 79. Is m prime?
True
Suppose 0 = -3*d - 2*d + 3*f + 5876, -d + 1162 = -5*f. Is d composite?
True
Let j(x) = -x**2 - 6*x - 6. Let u = 5 + -10. Let i be j(u). Let h(v) = 85*v**2 + v + 1. Is h(i) a prime number?
False
Is (-282)/(-4)*(-182)/(-21) a prime number?
False
Let j(t) = -3*t**3 - 9*t**2 + 13*t. Suppose 7*n - 4*n - 33 = 0. Let m(a) = -8*a**3 - 27*a**2 + 38*a - 1. Let s(v) = n*j(v) - 4*m(v). Is s(7) a composite number?
True
Suppose -5*f + 0*c - 44 = -4*c, 5*f + 41 = c. Is (-21)/7 - f*7 composite?
False
Let d = -70 - -128. Let a = d - -21. Is a composite?
False
Suppose 33 = -2*k - 5*d, -2*d = -d + 5. Let t be ((-4)/6)/((-2)/6). Is t + k/2 + 223 a prime number?
True
Let h be ((-14)/5)/((-4)/60). Let g be h/(-4)*(-8)/12. Suppose -g = -t + 24. Is t composite?
False
Let i = 5 - 0. Let o be (10 + 0)*(-4)/(-5). Let y = o + i. Is y a prime number?
True
Let u(k) = k**2 + 5*k - 3. Suppose 3*r - 5*r = 4*q - 2, 3*q + 11 = -4*r. Let d be u(q). Is (4/3)/(2/d) a composite number?
True
Suppose -2*m = 2*o - 26, 2*o = 4*m + 7*o - 53. Is 253/5 - m/(-30) prime?
False
Let i = -1255 + 762. Is (1 + -11)*i/34 a composite number?
True
Let t be (1847 - -1) + 10/5. Let d = t + -1101. Is d a prime number?
False
Let a = -9 + 136. Is a composite?
False
Let v = 49 + -12. Is v composite?
False
Let q(t) = -t**3 + 7*t**2 - 2*t - 7. Suppose 2*x + 3*h = 3*x - 7, 0 = 