False
Suppose 15*a = -14*a + 172637. Is a a prime number?
True
Let s(n) = -17*n**2 + 3 + 47*n**2 + 5*n + 0 - 6. Is s(-10) prime?
False
Let i(a) = a**2 - 26*a - 14. Let s = 76 - 86. Is i(s) a composite number?
True
Let u = -538 - -296. Let w = 165 - u. Is w prime?
False
Let m be (-4)/6 - 25/75. Let n(w) = -1037*w - 6. Is n(m) composite?
False
Suppose 11*f - 7*f + 5*t = 10557, -3*t - 2618 = -f. Is f a composite number?
False
Suppose -5*i - 316 = -4*b, 2*b + 73 - 225 = i. Let p = 53 + b. Is p a prime number?
True
Suppose -5*n + 75*p = 79*p - 151469, -p = -1. Is n prime?
True
Let n(k) = 353*k + 435. Is n(32) a composite number?
False
Let l(n) = 3*n**2 + 9*n + 33. Let a be l(-12). Let d = -134 + a. Is d prime?
True
Suppose -u - 4756 = -4*c, -12*u - 3567 = -3*c - 7*u. Is c a prime number?
False
Let f = -44 + 133. Let j be 7/((-21)/180) - 0. Let y = f - j. Is y composite?
False
Let b = 368 - -34. Suppose -2*z - l + 268 = 0, -4*l + b = 3*z - 0*l. Is z prime?
False
Let f(i) = -i - 4. Let x be f(10). Let q(s) = -s**3 - 13*s**2 - 5. Is q(x) prime?
True
Let x = -2 + 12. Suppose 2*q + m + 309 - 1045 = 0, x = 5*m. Is q composite?
False
Is (-1908)/54*(-4734)/12 composite?
True
Suppose 2*j = -3*p - 2*j + 5, p = 4*j - 9. Let y(q) = -3*q**3 + q**2 + 2*q + 1. Let a be y(p). Suppose a*l + l = 380. Is l a composite number?
True
Suppose 3*l = -2*l + 4930. Let w = l - 654. Suppose -2 = 6*g - w. Is g composite?
True
Suppose -3*d = 6*d + 108. Let a = 707 + d. Is a composite?
True
Suppose k - 2*j - 732 = 7371, 4*j + 24317 = 3*k. Is k a composite number?
False
Let x be ((-1995)/77)/(-5) - 4/22. Suppose 3*j = -g + 2035, 2*j + 0*g - x*g - 1368 = 0. Is j composite?
True
Let u be (-2)/6*(3 + -15). Suppose 2*l - m = 2, 4*m - u = 2*m. Suppose -l*o + 162 = -92. Is o a composite number?
False
Let q(z) = -3 - 9*z**2 + 13 - 2*z**3 - 17. Is q(-12) prime?
True
Let w be -1 - (12 - (3 - 1)). Let j = 13 + w. Suppose -j*i = 2*g - 98, -3*i - 1 + 156 = g. Is i a prime number?
True
Let r(o) = 12*o**2 - o - 6. Let z(l) = -60*l**2 + 6*l + 31. Let p(m) = 11*r(m) + 2*z(m). Let a be p(2). Suppose -a = -d - d. Is d prime?
True
Let y = 48 + -44. Suppose 5*i + 24797 = y*z + 1256, 0 = z + 2*i - 5869. Is z a composite number?
False
Let c be 9 - -1 - 2/2. Let d = -2 + c. Is d a composite number?
False
Let z be 2/(-7) + 111/21. Let u(d) = d**3 + 2*d**2 + 3*d + 11. Is u(z) a composite number?
True
Suppose 6 = 2*z + 3*p - 2*p, 2*z - p = 10. Let l(k) = 495*k**3. Let u be l(1). Suppose z*n - 101 = u. Is n composite?
False
Let m(w) = w**3 - 3*w + 97. Suppose 6*t + 3 = 5*a + 5*t, -a + t = -3. Is m(a) composite?
False
Let d = 8 - 8. Suppose -5*r + 263 + 132 = -2*j, d = -5*j. Is r a prime number?
True
Let f be (88 + -2)*1/2. Let o = 57 + -23. Let t = f + o. Is t a composite number?
True
Let i be -1*1 - (21 + -22). Suppose -2*n - 3*n + 745 = i. Is n a prime number?
True
Let a(r) = 16*r - 24. Let f be a(3). Suppose 2*n - 4*t - 14 = 0, 0 = t + 5 - 0. Is 2/n - (-904)/f a composite number?
False
Let v = 8369 - -41918. Is v a prime number?
True
Is 14/147*-3 + (-6463)/(-7) composite?
True
Suppose -6*g + 4*i = -3*g + 35, 3*g + 2*i + 5 = 0. Is (g - 206)/(-1 + 0) a composite number?
False
Let d(k) = 4*k**3 + 18*k**2 - 11*k + 11. Is d(10) prime?
True
Let o = -20 + 20. Suppose 13 = -3*g - 2*a + a, o = -5*a + 10. Is (526/g)/((-2)/5) a composite number?
False
Suppose -7 = -5*n + k + 18, k - 35 = -5*n. Let g = n - 3. Suppose 364 = 4*c - 2*r, -77 = 3*c - 4*c - g*r. Is c a prime number?
True
Suppose 0 = 3*v - 0*v + l - 1, -4*v + 3*l = -10. Let f(n) = 54*n - 7. Let g(t) = -28*t + 3. Let c(u) = -2*f(u) - 5*g(u). Is c(v) a prime number?
True
Suppose -2*n - 2*p + 3696 = -0*p, -3*n = 5*p - 5554. Is n composite?
True
Suppose -5*d + 31 = 6. Suppose 2972 = 9*k - d*k. Is k a prime number?
True
Suppose -8*n + 56 = 16. Let y be (1487 - -1) + -2 - 0. Suppose -2*t + 497 = -t - 2*o, 3*t - n*o = y. Is t a prime number?
True
Suppose -14*d = 7*d - 65289. Is d composite?
False
Let v(t) = 31 + 11 + 87*t - 9 - 15*t. Is v(5) a prime number?
False
Suppose -12*b + 4959 = -3*b. Let k = b + -280. Is k a composite number?
False
Let g(h) = -2*h**3 + 46*h**2 + h - 7. Let r be g(23). Suppose -1007 = -2*y + 331. Suppose r = b - y. Is b composite?
True
Let j = 4745 - -2016. Is j a prime number?
True
Let s(b) = 2*b**3 - 5*b**2 - 9*b + 11. Let y be s(5). Is y + (2/(-10) - (-90)/(-50)) a composite number?
False
Suppose -w + 2005 = 3*q, -3*w + 7501 - 1534 = -3*q. Is w prime?
True
Let s be (-8)/(-10) + 504/70. Suppose -4 + 0 = -2*f + c, 4*f + 2*c - s = 0. Suppose f*z - 47 = 51. Is z composite?
True
Let g = 874 + -141. Is g composite?
False
Let r(x) = -x**2 - 5*x**2 + 3*x**2 + 4*x**2 + 2 + 7*x. Let m be r(-7). Suppose 1980 = 4*j - m*u, j + 2*j - 4*u - 1495 = 0. Is j composite?
True
Suppose 0 = -86*k + 78*k + 9112. Is k a prime number?
False
Let b(t) = t. Let h be b(7). Let c be 2 + (-7)/(h/2). Suppose -4*f + 3*s = -299, -4*f + 297 = -s - c*s. Is f composite?
True
Let o(k) = -155*k. Let l(a) = 11*a. Let w(q) = 85*l(q) + 6*o(q). Let x be w(1). Suppose 4*s + 3*d = 929, x*s - 1170 = -2*d + 7*d. Is s prime?
True
Suppose -8*l + 22078 + 2562 = 0. Suppose 0 = -y + l - 651. Is y prime?
False
Let u(n) = -n + 9*n + 6*n**2 - 5*n**2 - 20. Let b be u(-10). Is ((-93)/(-15) + b)*5 prime?
True
Let w(n) = 61*n**2 + 22*n - 219. Is w(10) prime?
True
Let u be (4 - 4 - 0) + 0. Suppose 7*n - 5574 - 2728 = u. Is n a prime number?
False
Suppose 2*s + 256 = -2*o - 564, -4*o - 1636 = 2*s. Let d = o - -787. Is d a composite number?
False
Suppose 6*o = 3*o + 4095. Suppose -111 - o = -4*q. Suppose 605 = 2*c - q. Is c a composite number?
False
Let o(g) = 3*g**2 - 4*g + 2. Suppose 0 = -2*b - b - u + 11, 0 = 3*b - 4*u + 14. Let r be o(b). Suppose -r*z + 485 = -z. Is z composite?
False
Let u = -7883 + 11656. Let a = -2376 + u. Is a composite?
True
Is (-35254 + 20)*4/(-8) a composite number?
True
Suppose -t - 929 = 4*i, -2*i = 2*t + 273 + 199. Let h be (-5)/(15/i) - 3. Let q = h - 31. Is q prime?
True
Let m = -85 + 170. Let n = 150 - m. Is n prime?
False
Let s(j) = 3*j + 4 + 7*j**2 - 3*j. Suppose -a - 4*a + 27 = 3*o, -5*o = -4*a - 8. Is s(a) a composite number?
False
Let s(w) = 5 - w - 2 + 655*w**2 + 4*w. Is s(-2) prime?
True
Let j(r) = -r**3 - 14*r**2 - 15*r - 12. Let n be 39/(-2)*(-6)/(-9). Is j(n) prime?
False
Let u(b) = 2*b**3 - 23*b**2 - 18*b + 37. Is u(16) a prime number?
True
Suppose 2*f + 5992 = -w, 2*w + 7*f = 4*f - 11984. Let j = 10219 + w. Is j a prime number?
False
Let y = -567 - -389. Is (4 - y) + 1 + 0 prime?
False
Suppose -3*r = -3*n - 18, 4*r + 3*n + 3 = -2*n. Suppose -4*g + r*g = 0. Suppose 5*v - 219 = -2*k, g = -3*k - 4*v + 248 + 63. Is k prime?
True
Let x be (2/2)/((-2)/(-114)). Suppose x = 5*o + 3*m, -34 = -3*o - 6*m + 4*m. Is 29 + 2*o/(-8) a prime number?
False
Let z = -74 - -76. Is (3/z)/(-1)*(-24 + -2) prime?
False
Is (-77)/(-11) - -42*310 composite?
True
Let y(q) = -98*q - 86. Is y(-20) a prime number?
False
Is (-40)/(-80) - 41114/(-4) a prime number?
False
Let x(k) = 697*k**2 - 16*k - 34. Is x(-7) a prime number?
True
Let n(m) be the third derivative of m**5/15 + m**4/24 - m**3/3 - m**2. Let u be n(1). Suppose -5*i = -5*p + 58 + 27, i + 43 = u*p. Is p a composite number?
False
Let l = 140 + -24. Let v be (62 - 1)/(-2 + 1). Let g = v + l. Is g composite?
True
Suppose 0 = -43*d + 61*d - 283086. Is d composite?
False
Let j(o) = 5*o**2 + 15*o - 2. Let n(s) be the third derivative of s**5/60 + 2*s**2. Let u(q) = -j(q) + 4*n(q). Is u(-7) composite?
True
Let d = -72 - -205. Is d a composite number?
True
Is (38/3*-3733)/((-28)/42) a prime number?
False
Let s(i) = 3*i + 2. Let c be s(6). Is ((-92)/c)/(1/(-5)) prime?
True
Let n be (-3)/12 - (-207)/12. Let q = n - -59. Suppose 4*p - 232 - q = 0. Is p a prime number?
False
Suppose 2*g - 310 = -3*w + 933, -2*g = 2*w - 828. Is w prime?
False
Let w = 100 + -175. Let d = w - -314. Is d composite?
False
Is (-11)/(-154)*-7*-3674 a prime number?
False
Suppose 0 = -87*w + 82*w + 9505. Is w prime?
True
Suppose 2*v = -3*b + 109, 4*v = 6*v - b - 121. Is v a composite number?
False
Let r = -11213 - -5669. Let v = -2533 - r. Is v prime?
True
Let k be -68 - (3 - 2) - -1. Let h be (-2)/(2 - (-137)/k). Suppose 0 = x - 83 - h. Is x a prime numb