e?
True
Let u = -668 + 1357. Is u a composite number?
True
Suppose -5*i = -29 - 6. Suppose 2*a + i = -3*d, 2*a + 0*d = 5*d + 33. Suppose a*x + 168 = 4*f, 2*f + x = -3*f + 234. Is f a composite number?
True
Let z = 9 - -1040. Is z a prime number?
True
Suppose 0 = 4*p - 2*j - 230, 0*p + 4*j = -2*p + 90. Is p a composite number?
True
Let u = 110 + 23. Is u prime?
False
Let m(k) = 32*k - 21. Is m(2) a prime number?
True
Suppose 0 = 5*g - 2*h + 625, 2*g - 533 = 6*g + 5*h. Let j = -33 - g. Is j a composite number?
True
Suppose -3*i = -i - 2. Let g(f) = 19*f**3 - 3*f**2 - 4*f + 3. Let p(h) = -h**3 + h**2 + h - 1. Let w(c) = g(c) + 3*p(c). Is w(i) prime?
False
Let h(q) = -q**3 - q**2 + 4*q - 18. Let j be h(0). Suppose -95 = 5*w + 2*c, -w = -3*w + 2*c - 38. Is (-1)/(j/w + -1) a prime number?
True
Is (-1 - -27)*508/32*4 a composite number?
True
Suppose 0 = -2*i + 4, a - i - 236 = -a. Is a a composite number?
True
Let s = -203 + 404. Let j = s - 119. Let w = j + -45. Is w composite?
False
Let x(y) = 178*y + 73. Is x(22) a prime number?
True
Suppose -4*n + 4*c - 8 = -n, 4*n - 4*c + 4 = 0. Suppose n*q - 29 = 5*i - 3, -2*i = q. Suppose 0 = j - 3*j + 5*m + 228, q*j - 428 = -4*m. Is j prime?
True
Let a(u) = -132*u + 1. Let d be a(1). Is 2/1 - (d + 2) prime?
True
Suppose 3*b + 0*b + 5*z + 31 = 0, 0 = -b - z - 7. Let o be b/10 - (-468)/15. Is o - (2 + 0 - 5) prime?
False
Suppose -3*t - 6 = -5*t. Suppose -4 = t*b - 16. Is (105/(-6))/((-2)/b) composite?
True
Suppose 0 = 5*n - 140 - 605. Is n prime?
True
Let u be ((-274)/3)/(4/(-12)). Let x = -63 + u. Is x a prime number?
True
Let w(f) = -21*f + 2. Let s be w(4). Let y = 161 + s. Is y a prime number?
True
Suppose 4*s - 41 = 5*k, 0*s - 2*k = -3*s + 22. Is s composite?
True
Let o be 0 + 2 + (1 - 1). Is 1*(-395 + o)/(-3) composite?
False
Let t be (-2)/7 + (-92)/(-28). Is ((-3)/t)/(1/(-47)) a prime number?
True
Suppose 2*x - 366 = 740. Is x a composite number?
True
Let x(d) = 2*d**2 - 7*d - 7. Suppose -2*m - m + 24 = 0. Is x(m) prime?
False
Let t(w) = w**2 - 3*w + 3. Let o be t(2). Let g = 6 + o. Suppose b + 4 = g. Is b composite?
False
Suppose -3*x - 2 = -4*x, 298 = 2*v + 4*x. Is v prime?
False
Let d(i) = 22*i**2 + 21*i - 13. Is d(8) composite?
True
Let m(r) = -125*r - 12. Is m(-5) composite?
False
Let m(s) = 67*s. Is m(2) composite?
True
Suppose -3*j + 1919 = -5*u, 127 - 2010 = -3*j - 4*u. Is j prime?
False
Let n(h) = -h**2 + 5*h - 4. Let y be n(3). Suppose -2*r = -v + 125, 4*v + y*r - 238 = 2*v. Suppose 3*k = v + 38. Is k a prime number?
True
Let r = -216 + 1723. Is r prime?
False
Let m(o) = -2*o + 4. Let s(g) = g**3 - 16*g**2 - g + 13. Let p be s(16). Is m(p) composite?
True
Is ((-1774)/6)/(-7 - 60/(-9)) prime?
True
Let y = 473 - 334. Is y composite?
False
Let y = 21 - 8. Let k = y - 3. Is k a composite number?
True
Suppose -7*c + 1075 = -2*c. Is c composite?
True
Let d be (-132)/28 - 2/7. Let q be (-2 + 2)*1 - d. Suppose -536 = -q*h - 201. Is h a composite number?
False
Let p = -39 + 262. Is p a prime number?
True
Suppose -671 + 1996 = 5*b. Is b a composite number?
True
Let j(n) = -n**2 - 13*n - 8. Let t be j(-12). Suppose 0 = -t*d + 4*u + 1152, 2*d + 4*u = -2*d + 1192. Is d a composite number?
False
Let y = -168 + 251. Is y composite?
False
Is ((-4605)/30)/((-1)/4) a composite number?
True
Suppose 4*f + 36 = 4*c, -3*f = f - 2*c + 32. Let b = -10 - f. Is b + 1 - (-55)/1 a prime number?
True
Is -74*3*(-3)/9 a prime number?
False
Let k be 4 - 4/6*-282. Suppose -1045 = -5*l + 2*w, -l + k + 9 = -2*w. Is l prime?
True
Let r be (-293)/(-2) - (-27)/18. Suppose -5*a - r = -533. Is a prime?
False
Is (-15 - -14)/((-2)/998) a composite number?
False
Let v be 2314/10 + 8/(-20). Let n = v - 62. Is n a prime number?
False
Suppose -1 = 3*t - 13. Suppose 0 = 5*f - 5*m - 485, 4 = t*m - 5*m. Is f composite?
True
Let r = 7 - 5. Let n = 2 - r. Suppose -h + 16 + 3 = n. Is h composite?
False
Let q(h) = 25*h - 6. Suppose z - 5*w + 2 = -1, 5*z = -3*w - 15. Let o(n) = 26*n - 7. Let p(k) = z*q(k) + 2*o(k). Is p(-5) composite?
True
Let x(f) = -f**3 + 12*f**2 - 4*f + 9. Let u be x(13). Let d = u + 345. Is d a prime number?
False
Is 4/((-12)/(-5193)) + (6 - 4) a prime number?
True
Let a = 137 + -34. Is a composite?
False
Let m = 1 + 3. Suppose m*o = 3*o + 66. Suppose 0 = -l - 2*l + o. Is l composite?
True
Let n(b) be the second derivative of -b**5/20 - b**4/3 + 5*b**3/6 + 7*b**2/2 - 3*b. Is n(-5) prime?
True
Suppose -5*x - 14 + 229 = 0. Is x a prime number?
True
Let y(d) = 2*d**2 - 5*d + 7. Is y(4) a prime number?
True
Suppose -y - 1 = 4. Let r = 3 + -5. Is r/y + 103/5 prime?
False
Let u = 7 - 5. Suppose i - 1 = 4*q + u, 2*i + 6 = 2*q. Let n = 5 + q. Is n a composite number?
False
Let x = -3 - -21. Is 1326/4 - 9/x composite?
False
Let i(k) = 11*k + 1. Suppose -3*p = -2*d + 24, -3*d + 8*d - 34 = p. Is i(d) composite?
False
Let d = 167 - -106. Suppose 3*a = 4*s + 125, 4*a + s + 81 = d. Is a a composite number?
False
Let c be 2 + (-3)/((-12)/8). Suppose -c*v + 722 + 630 = 4*i, -5*v - 1038 = -3*i. Is i a composite number?
True
Let t = 574 + -371. Is t a composite number?
True
Suppose w + 54 = 4*w. Is 12/w*(-318)/(-4) composite?
False
Let x be 1 + 1 - 2 - -3. Let b be 6*x*(-2)/(-18). Is b*3 + (-1 - -1) prime?
False
Suppose -d + 633 = -2*x, -x + 144 - 1410 = -2*d. Is d prime?
False
Let k = 1 - -4. Suppose 210 = k*x - 0*x. Is (x/(-4))/((-2)/4) a composite number?
True
Is ((-25)/(-10) - 3)*-20 a prime number?
False
Is ((-19187)/(-28))/(4/16) composite?
False
Suppose -5*q - 3*b + 632 = 0, -b + 507 = 4*q - 0*b. Suppose -2*k = -k - q. Is k a prime number?
True
Suppose 25*q + 1329 = 28*q. Is q prime?
True
Suppose 5*x - 5 = 5. Suppose 509 = x*u + 103. Suppose -3*q = -2*q - u. Is q composite?
True
Suppose -o + 944 = 2*q - 215, -2*o = 3*q - 2314. Is o prime?
True
Let l be ((-2 - -1)*-15)/1. Suppose -2*c - 5 = -2*t + 3*c, 0 = -4*t + 5*c + l. Suppose 75 = t*y - 0*y. Is y composite?
True
Suppose 0 = -q + 25. Is (20/q)/((-2)/(-85)) prime?
False
Is (17030/25)/((-8)/(-20)) a composite number?
True
Suppose -230 = 6*f - 1952. Is f a composite number?
True
Suppose -4*i + 9 = -7. Let q be 0 + (-1 - 0)*-2. Suppose -2*n + 95 = 3*y, i*y - q*y - n = 61. Is y a composite number?
False
Suppose -3*c = -2*c - 251. Is c a composite number?
False
Let a(g) = -g - 6. Let s be a(0). Let k(p) = -10*p - 1. Is k(s) composite?
False
Let k = 2654 + 900. Is k prime?
False
Suppose 5*f + 28 + 24 = -4*w, 4*f = 2*w. Let q(p) = 7*p**2 + 9*p - 3. Is q(w) prime?
True
Suppose -y = 5*s - 5991, -4*s + 23934 = 4*y + s. Is y a prime number?
True
Let k be (-18)/36 + (-1)/(-2). Suppose 2*f = -3*s + 122, -4*f + k*f - 3*s = -256. Is f prime?
True
Let f be 3/((-1)/(-1 - -4)). Let y(p) = -p**3 - 9*p**2 + p + 1. Let d be y(f). Is (-2 + (-118)/d)*4 composite?
True
Let a = 39 - 28. Suppose -2*b + 47 - a = -3*q, -12 = -2*b - 3*q. Let s = b + -5. Is s composite?
False
Let z(y) = -7*y**2 - 5*y. Let a(b) = b**2 + b - 1. Let c(s) = -3*a(s) - z(s). Is c(-2) prime?
False
Suppose 82 = -4*z - 46. Let b = 276 + -153. Let v = z + b. Is v composite?
True
Suppose 2*u = -2*f + 1050, 0 = -2*u - 4*f + 6*f + 1034. Is u prime?
True
Suppose -w + 588 + 144 = 0. Suppose -15 = -3*a, 5*p + 3*a - 748 = w. Is p composite?
False
Let n = 11 - -101. Let u be (30/(-4))/((-7)/n). Let v = -65 + u. Is v a composite number?
True
Let z = -4 - -4. Suppose 5*g - 3*g + 2*r - 186 = z, 4*r = g - 113. Is g a composite number?
False
Let g = -9 + 7. Let b be ((-1)/(-1) - g) + -1. Suppose n + 5*i = 3*n - 256, 0 = 2*n - b*i - 244. Is n a prime number?
False
Suppose -2*l - 14 = -4*k, 0*k + 3*k - 18 = -l. Suppose l*v = -3 + 15. Is v a prime number?
False
Let i(s) = -s**3 - 4*s**2 + s - 1. Let b(h) = -2*h + 3 + 0 - 2*h**2 + h**3 - 2*h**2. Let z be b(4). Is i(z) a composite number?
False
Let w(j) be the first derivative of 2*j**2 - 2*j + 4. Let u = -4 - -10. Is w(u) composite?
True
Let y be -6 + 1 + 1 + 498. Suppose 3*v - 1502 = -5*s, 3*v + 5*s = 4*v - y. Is v a composite number?
False
Suppose 2 - 12 = -q. Let w = -5 + q. Suppose -31 = -x + w*v, x - 2*v + 6*v = -5. Is x a composite number?
False
Suppose 46 = -0*a + a. Let n be (25/10)/(1/a). Suppose -3*s + 60 = -3*p, -2*s - 3*p = 2*s - n. Is s a prime number?
False
Let p(w) = 85*w**2 - 21*w - 9. I