Suppose -5*d + 55 = i. Is d a prime number?
False
Let w(u) = 2 + 104*u**2 - 68*u**2 + 1. Is w(-4) composite?
True
Is 929 - (9 + -3)/1 a composite number?
True
Let u = -12252 - -19855. Is u composite?
False
Let m(i) be the first derivative of i**4/24 + 5*i**3/6 - 5*i**2 + 6. Let x(a) be the second derivative of m(a). Is x(6) prime?
True
Suppose -5*q = -4*q + 4*m - 2, 3*q + 3*m = 33. Let o be (q - 13) + 0 + 1. Suppose -o*t = t - 255. Is t a composite number?
True
Let d = 3 + 7. Let t = -8 + d. Suppose -4*z = -t*z - 238. Is z composite?
True
Let r(m) = m**3 - 4*m**2 - 2*m + 4. Suppose -1 + 11 = 2*i. Is r(i) prime?
True
Let v(i) = 2*i**3 - 3*i**2 + 2*i - 2. Suppose 26 = -3*m + 4*k - 12, 0 = 5*m - 2*k + 40. Let g = 9 + m. Is v(g) composite?
False
Suppose -4*r = -3*q + 15937, 4*q - 5*q = 4*r - 5307. Is q prime?
False
Suppose -2*l + p + 3*p + 6310 = 0, 2*p - 8 = 0. Is l a prime number?
True
Let m(z) = -z**2 + 36*z + 18. Suppose -2*v + 3*v - 35 = -4*l, 2*v - 4*l - 22 = 0. Is m(v) a prime number?
False
Let p(l) = 232*l - 3. Let f(y) = y + 1. Suppose 1 = b - 3. Let q(r) = b*f(r) + p(r). Is q(1) a prime number?
False
Is 1*(0 - (-35965 + -6)) prime?
False
Suppose 2*b - 3*b + 7 = 0. Suppose q + q - y - b = 0, 0 = -2*q + 2*y + 6. Suppose -304 = -4*d - 4*c, 0 = q*d + 6*c - 3*c - 307. Is d composite?
False
Suppose -3*x + 4*r - 36 = 0, -2*x + r = 3*r + 10. Let i = -10 - x. Is ((614 - i) + -2)/2 composite?
False
Let p(k) = k**3 - 5*k**2 - 7*k + 11. Let n be p(6). Is 884/n + ((-7)/(-5))/7 a prime number?
False
Suppose 2*l - 14 = -10. Suppose 3*f - 3 = 4*o, l*o - 2 = -3*f + f. Suppose 2*y - v - 109 = o, -5*y + 5*v + 0*v + 270 = 0. Is y a composite number?
True
Let v be (-6)/10 - 5252/(-20). Suppose 0 = f - 3*f - 3*l + 140, -v = -4*f + 3*l. Is f prime?
True
Suppose -4*a + 3*a + 3 = -3*x, 2*x - 8 = 4*a. Let g be (-69)/a*(-1 + 2). Suppose 0 = -3*t + g + 16. Is t a composite number?
False
Let t(z) = 15*z + 71. Is t(8) a composite number?
False
Suppose 5*g + 2*c + 7002 - 2153 = 0, -2*g = 5*c + 1927. Is 2*5/(-10)*(g - 0) a composite number?
False
Let i(c) = 41*c**2 + 4*c + 5. Let y(p) = -p**2 + 2*p + 4. Let o be y(5). Let s = o - -15. Is i(s) a composite number?
False
Let p(z) = 3*z**3 - 10*z**2 + 3*z + 14. Suppose 49 = 5*v + 3*x, v - 3*v + 1 = -5*x. Is p(v) prime?
False
Let z(d) = 326*d - 1211. Is z(69) a composite number?
False
Let w(n) = -n**2 + 7*n + 5. Let k be w(7). Suppose -2*j = -a - 5 + 10, 3*a = -4*j - k. Is (j + 3 + 27)/2 prime?
False
Let c(p) be the second derivative of -p**3 + p**2/2 + 5*p. Suppose 0*s - 4*s - 3*z - 13 = 0, 5*s + 2*z + 11 = 0. Is c(s) a prime number?
True
Let k(x) = -x - 4. Suppose 0*w = -3*w. Let i be k(w). Let z(f) = -f**3 - 3*f**2 + 3. Is z(i) a composite number?
False
Let r = 7 + -3. Let c(x) = 3 + r*x - 1 - 6*x**2 + 7*x**2. Is c(14) composite?
True
Let t(m) = m**3 - 5*m**2 + 5*m - 5. Suppose -4*v + 0 = -16. Let x be t(v). Is (-3 + 1 - x)*-89 a composite number?
False
Suppose 5*u + 20 + 15 = 0. Let h = -2 - u. Let s(w) = 65*w - 2. Is s(h) composite?
True
Let k be (-2)/2 - 0 - -7. Suppose 6 = 2*c + 2*q, 0 = q - k + 2. Is (c + 0)/((-16)/496) prime?
True
Let b(f) = 6*f + 12. Let r be b(0). Suppose -3*h - 15 = 0, -3*w + 1661 = 14*h - r*h. Is w a prime number?
True
Suppose -41*c = -78664 - 222891. Is c prime?
False
Let p(s) = -s**2 + 26*s + 17. Let o be p(26). Is 3 - -328*1*o composite?
True
Let f(a) = -16*a**2 + 2*a - 2. Let x(d) = -16*d**2 + 2*d - 1. Let c(u) = -4*f(u) + 3*x(u). Let t = -27 + 31. Is c(t) prime?
False
Let w be -4 - (5 - 6) - 4/2. Is (w - -1)*-122*1 + -1 a composite number?
False
Let u = 51362 - 30307. Is u prime?
False
Suppose -2*l = -4*l + 2*k + 572, -20 = -4*k. Is l composite?
True
Suppose 3*j - 94 - 173 = 0. Suppose -2*h + 3 + j = 0. Is h composite?
True
Suppose t - 4*l = 6807 + 10630, -87095 = -5*t + 2*l. Is t a composite number?
False
Suppose 14 = -4*d - 6. Let c(b) = -b**3 + 3*b**2 + 3*b - 8. Is c(d) a composite number?
True
Suppose -5*z + 19 - 4 = 0. Suppose z*t + 2052 = 4*i - 169, 4*t = i - 565. Is i a composite number?
True
Suppose 0*s = 5*s - 3*i - 56, -2*i = -3*s + 34. Suppose 2*d = -0*d - s, -d + 237 = 2*v. Is v a prime number?
False
Suppose -4*q + g + 3799 = 282, -4*q = 4*g - 3492. Is q composite?
True
Suppose -r - 5 = 0, 3*r - 3622 = -5*a + 45838. Is a a composite number?
True
Let q(u) = -3*u**2 - 2 + 9*u + 2*u**3 - 6 + 0*u**2. Let y be q(6). Let j = y - 243. Is j prime?
True
Let n(d) = -674*d - 62. Is n(-20) prime?
False
Suppose 109785 = 15*k - 10*k + 5*w, 3*k - 65879 = w. Is k prime?
False
Let x be 2*(-3)/(-12)*2. Let t be -1*(-3 + 2) + x. Suppose 2551 = 5*s - b - b, -s - t*b = -515. Is s a prime number?
False
Let h(k) = -2*k**3 + 3*k**2 + 3*k - 3. Let o be h(-3). Let z = o + 42. Is z a composite number?
True
Suppose -59*k + 8*k + 74715 = 0. Is k a prime number?
False
Let f be 3 + 6/(-3) + -4. Let k be (-4 + 0)*f/6. Is -3 - (616/(-4) + k) a composite number?
False
Suppose 0 = 169*u - 135*u - 6422974. Is u composite?
False
Let z be ((-20)/6)/((-7)/((-4410)/(-4))). Suppose -5*s + 2*s + 3*b + z = 0, 5*s - 2*b - 887 = 0. Is s composite?
False
Suppose -2*d - 4*a - 10 = -0*d, a = 5*d - 30. Let i = 80 - 42. Suppose 5*w = 2*o - d - i, -34 = -2*o + 2*w. Is o a composite number?
True
Let p be (5/1*-1)/(-1). Suppose -4*u = -3*a + 6, -3*u + 2 = 3*a - 2*a. Suppose a*s - p*q = 32, -s - q = 3*s - 108. Is s a composite number?
True
Let x(g) = 143*g**2 + 6*g + 15. Let h be x(6). Suppose 5*p - h = 4*m, -4*p = -m + 3*m - 4180. Is p a composite number?
True
Let q = -96 + 101. Suppose -q*r + 1015 = -2580. Is r a prime number?
True
Let a(z) = z**2 + 18*z + 5039. Is a(0) composite?
False
Let x = -915 + 1405. Let y = x - 183. Let g = y + -104. Is g a composite number?
True
Suppose 0 = 2*g - 174 + 182, 4*h + 4*g = 103476. Is h a composite number?
False
Let u be (-1 + 74/(-4))/((-18)/888). Let d = u - -252. Is d prime?
False
Let s be -1*(-3 + 2)*0. Let t be 0 + 4 + (-2 - s). Suppose 0*y - f - 276 = -3*y, -t*f - 273 = -3*y. Is y a prime number?
False
Suppose 4*m - 5*z = 8979, -2*m + z = -2905 - 1592. Is m composite?
False
Suppose g - 118 = 5*q, 5*g + 5*q + 48 = 758. Suppose -2*w + 5*x + 264 = -19, -x + g = w. Is w a prime number?
True
Suppose -5*n - 756 = -4*s, -120 = -3*s - 5*n + 447. Suppose 514 - s = 5*g. Let c = g + -32. Is c a prime number?
False
Suppose 2*o - c = -2*c + 7, -6 = -2*c. Is o/36*4 - (-4514)/18 prime?
True
Let g(m) = 8*m - 9. Let x(s) = -7*s + 10. Let l(z) = 5*g(z) + 6*x(z). Let t be l(0). Is t + (-3 - 1 - -2) prime?
True
Suppose -5*r + 7*r - 10 = 0. Suppose 489 = -r*p - 376. Let y = p + 367. Is y a composite number?
True
Let s = 14724 - 8267. Is s prime?
False
Let p = 40695 - 25724. Is p a prime number?
False
Let i(g) = 54*g - 1. Suppose -r = 6*r - 63. Is i(r) prime?
False
Let j(y) = -y**3 - 13*y**2 + 12*y - 23. Let l be j(-14). Suppose 0 = 4*n + l*r - 662, 6*n + 3*r = 4*n + 332. Is n prime?
True
Suppose 0 = -4*m - 3*a + 17212, -3*m + 3557 = 5*a - 9341. Is m prime?
False
Let m(j) = 5*j**2 - 2*j + 5. Let u(b) = 2*b - b - b + b**2. Let o(r) = -m(r) + 6*u(r). Is o(-6) a composite number?
False
Suppose 4*r = v + 18190, -r + 1709 + 2828 = 5*v. Is r a composite number?
False
Let v be (1/(-2) + 2/4)/(-1). Suppose -4*k - 5*g = -6413, -k + 2*g - g + 1592 = v. Is k a composite number?
False
Suppose 4*a - 2*a - 4470 = 0. Let f = a - 1062. Suppose -f - 599 = -4*k. Is k composite?
False
Let g = 7008 + 521. Is g prime?
True
Let g(h) = h**3 + 3*h**2 + 14*h - 19. Suppose i = -2*o + 6*i + 116, 0 = -2*o - 5*i + 76. Suppose -3*p + 9*p = o. Is g(p) composite?
False
Let f = -373 + 727. Let i be 5011/9 - -4*(-6)/(-108). Let w = i - f. Is w prime?
False
Let t(l) = 5491*l - 341. Is t(4) a prime number?
False
Let b = -39 - -120. Suppose -2*k = -5*j - b, -275 = -8*k + 3*k - 2*j. Is k composite?
False
Suppose -9*w + 1195 + 3413 = 0. Let d = 1 + 1. Suppose -j + 262 = d*a - 5*j, 2*j + w = 4*a. Is a a prime number?
True
Suppose 27805 = 3*p + i, 2*p + 10*i = 9*i + 18538. Is p a composite number?
True
Suppose 0 = -5*g + g - 4. Let a(n) be the third derivative of -n**6/10 - n**5/60 - n**4/24 + n**3/6 - 9*n**2 + 3*n. Is a(g) a composite number?
False
Let t(h) = -h**3 - 5*h**2 - 3*h + 2. Let k be t(-4). Let f = k - -2. Let a(n) = -n**3 + n + 13