ppose 0 = -5*r + 5*s + 435, s - 5*s - 172 = -2*r. Let c = -50 + r. Is c a composite number?
True
Let c(k) = 9*k**2 + 5*k - 2. Let q be c(3). Let d = q + -165. Let m = -4 - d. Is m a prime number?
True
Let k = -8 + 11. Let m(i) = -2 - 3*i + k - 3. Is m(-3) composite?
False
Let b(a) = -3*a**2 - 3*a - 1. Let f be b(-2). Let z(n) = -3*n**2 + 9. Let t be z(f). Let p = t - -301. Is p composite?
False
Suppose -z - 15 = -45. Suppose -5*g = l + 2*l - z, 2*l = 2*g - 28. Is (-6)/(-9) - (-75)/g prime?
False
Let k be 2 + 0 + 4 + -3. Suppose n - 61 = k*p, 133 + 76 = 3*n + 4*p. Is n a composite number?
False
Let n(l) = 2*l**2 + 8*l**2 + 27*l**2. Let m be (1/(-2))/((-3)/(-6)). Is n(m) prime?
True
Let i(j) = 83*j - 5. Suppose -10 = -0*h - 5*h. Is i(h) composite?
True
Let t(z) = -z**3 + 11*z**2 - 2*z - 1. Is t(9) a prime number?
False
Suppose 11 = 3*u - 1. Suppose -u*m = -m - 201. Is m a prime number?
True
Suppose 0*r + r = 3, 2*l + 2*r - 22 = 0. Suppose -2*z + 6 + l = 0. Suppose -92 = -5*q + o, -z*q = -2*q + 3*o - 104. Is q composite?
False
Suppose 7*t - 9 = 4*t. Suppose -t*c - 2*c + 325 = 0. Is c prime?
False
Let u(g) be the second derivative of -11*g**3/6 + 3*g**2/2 + g. Let s(d) = d + 4. Let y be s(-8). Is u(y) a prime number?
True
Suppose 0 = 3*x + 2*x + 15. Let k = x - -430. Is k a composite number?
True
Suppose 16*a - 21*a + 2605 = 0. Is a composite?
False
Suppose 4 = f + f. Suppose -m = 4*l - 169, f*l = -m - l + 164. Is m a composite number?
False
Let p be 0 + -2*9/(-6). Let r be -1 + (-6)/p*-43. Suppose 30 = 5*j - r. Is j a composite number?
False
Let c be 1824/28*(-21)/(-1). Suppose c = -3*f - f. Let t = f + 503. Is t a prime number?
False
Suppose -6*m + 189 = -5253. Is m a prime number?
True
Suppose -20 = -4*a, -2*q + 5*a - 14080 = -5*q. Is q a composite number?
True
Let r(z) = -333*z**3 + z + 1. Let v(m) = -334*m**3 + 2*m + 1. Let y(a) = -3*r(a) + 2*v(a). Is y(1) composite?
False
Suppose -2*a = -a - 743. Is a composite?
False
Let x(l) = -3*l**3 - 7*l**2 + 2*l + 1. Is x(-5) a composite number?
False
Let n(m) = -m**3 + 6*m**2 - 5*m - 7. Let y be n(5). Let k be (y/(-2))/((-3)/(-6)). Suppose -j + k + 4 = 0. Is j a composite number?
False
Let l(r) = -31*r - 4. Suppose 0*z + 4*z - 20 = 0. Suppose 0 = -z*m + 3*m - 6. Is l(m) prime?
True
Suppose 4*y + 0 = -2*h + 16, 2*y - 8 = 0. Suppose -5*z + 2*m + 31 = 0, 5*m = -2*z + 3*m + 4. Suppose h = -2*x - 2, -z*w - 287 = -x - 943. Is w a prime number?
True
Suppose 6759 = 3*i + 3*c, 5*i + 1493 - 12752 = -2*c. Is i a prime number?
True
Is 2342/14 + 22/(-77) a composite number?
False
Suppose -2*t = -5*z - 0*t + 2459, -3*t = -z + 484. Is z composite?
True
Let n be (1/(-2))/(1/(-8)). Let y(a) = a**3 - 2*a**2 + a. Let m be y(n). Suppose -f + 12 = 2*t - m, t - f - 21 = 0. Is t a composite number?
False
Let g = 196 + -110. Let u = 137 - g. Is u a prime number?
False
Let f(v) = 4*v**2 - 6*v + 7. Let g(d) = 7*d**2 - 12*d + 14. Let j(w) = 11*f(w) - 6*g(w). Suppose 11 = -z + 4. Is j(z) a prime number?
False
Let n be 8/3 + 6/18. Let r be 1 - -1 - 1/1. Is n*12 - r - -2 prime?
True
Let p(s) be the third derivative of -s**4/24 + 31*s**3/6 + 3*s**2. Let i be p(0). Is i - (1 + (-3 - -2)) prime?
True
Suppose -9*i + 7819 + 5780 = 0. Is i a composite number?
False
Let c be 1/2 - (-9)/6. Suppose -c*z + 22 = -52. Is z composite?
False
Let u = 515 - 142. Is u prime?
True
Suppose -11*c + 7*c + 11292 = 0. Is c composite?
True
Let m(p) = 32*p + 22. Let q(j) = -16*j - 11. Let g(n) = -3*m(n) - 5*q(n). Is g(-5) a prime number?
False
Suppose 0*n + 4*n - 148 = 0. Suppose -n = -i - i + p, -3*p = 2*i - 41. Is i prime?
True
Suppose 4*w = -3*d + 4549, -2*w + 2267 = -2*d + d. Is w a composite number?
True
Suppose 4*b - 49 = -5*w, -5*b + 2*w + 40 = 4*w. Let l(z) = z**2 - 3*z - 3. Let o be l(b). Suppose o = 3*v - 24. Is v composite?
False
Suppose q - 2*l + 403 = -0*l, l - 1979 = 5*q. Let t = q - -762. Is t a composite number?
False
Let k(s) = s**2 + 5*s + 8. Let o be k(-4). Suppose 0 = b - 3*b + o*y + 106, 0 = 2*y - 4. Is b a composite number?
True
Let n(z) be the third derivative of z**4/8 - z**3/3 - 3*z**2. Is n(3) a prime number?
True
Suppose 6*v - 8 = 5*v. Let m(y) = y**3 - 7*y**2 - 9*y + 10. Let d be m(v). Suppose 76 = 2*p - 4*g, -d*g + 52 + 62 = 3*p. Is p a composite number?
True
Let c(h) = -126*h + 8. Suppose 4*i - 11 = -39. Let g be c(i). Is 1/(-4) + g/8 prime?
False
Is (-10)/70 - (-9304)/7 prime?
False
Let u = -5 + 6. Let b(l) = -2*l + 4. Let w be b(-4). Let a = u + w. Is a prime?
True
Let n(b) be the first derivative of b**3 + b**2/2 + 2*b - 1. Let i be 2 - (3 - (4 + -6)). Is n(i) a composite number?
True
Let t = -25 + 112. Is t prime?
False
Let w = 1785 - 1199. Is w prime?
False
Let m = 141 - -500. Is m a prime number?
True
Is (-2455)/(-11) + (-6)/33 composite?
False
Suppose -6 = -3*u + 3. Suppose -u*t + 19 = 4*j, -j + 5*t - 2 = -1. Suppose -3*w = 3*v - 123, w - 201 = -4*w - j*v. Is w a prime number?
True
Let f(w) = w**2 + 6*w - 5. Is f(16) prime?
True
Let b be 5/(10/4) + -2. Suppose -3*k + 5*u = -b*k - 644, -2*k - 4*u = -466. Suppose -t + 4*o = 3*t - 844, -t - 2*o = -k. Is t a prime number?
False
Is (-3)/(2/((-894)/9)) prime?
True
Let r be 36/(-5) + 2/10. Let y(a) = a + 9. Let w be y(r). Suppose 419 + 71 = 5*k - 5*m, 0 = -w*k + m + 191. Is k a composite number?
True
Let i(a) = -109*a + 3. Suppose m - 2*m + 4*z - 11 = 0, 4 = 2*m + 5*z. Let r(q) = 55*q - 2. Let p(n) = m*i(n) - 5*r(n). Is p(1) a composite number?
False
Suppose -2*u + 42 = -0*u. Let p = -2 + u. Is p a prime number?
True
Is 2 + 4/(-2) - (0 + -2101) composite?
True
Suppose -94*f = -92*f - 3730. Is f a composite number?
True
Is ((-359088)/32)/((-3)/2) composite?
False
Let z(u) be the first derivative of 7*u**4/24 + u**2 - 2. Let l(w) be the second derivative of z(w). Is l(3) composite?
True
Suppose -2 = -2*q - 0*q, -4*t + 4*q - 4 = 0. Suppose -2*f + 38 = -t*f. Is f a prime number?
True
Let m(n) = n**3 + n**2 - n + 2. Let z be m(-2). Let p = 14 - z. Is p a composite number?
True
Suppose 0*a + 12109 = 4*f - 3*a, -4*f = 2*a - 12134. Is f a prime number?
False
Suppose o = 5*z - 2394, -z = 3*z + 5*o - 1921. Is z composite?
False
Suppose 0*z - 3*z + 24 = 0. Let s = z - 6. Suppose w - 11 = s. Is w a composite number?
False
Let d(j) = -7*j**2 + 16*j - 3. Let s(i) = 2*i**2 - 4*i + 1. Let c(x) = 6*d(x) + 22*s(x). Let q(b) = -b**2 + b - 5. Let u be q(0). Is c(u) a composite number?
True
Suppose -r - 4*r = 0. Suppose 3*z - 82 - 190 = -m, r = -2*z - 2*m + 188. Is z a prime number?
True
Suppose -j + 4*s = s - 4, 16 = 4*j - 2*s. Suppose 1055 = j*c + c. Is c a prime number?
True
Let x be 4 + 6/(-3) + 1. Suppose -53 + 326 = x*l. Is l a composite number?
True
Let l be -9*(-8)/12 - 4. Is 110 - (4 + -6)/l prime?
False
Let u = 11 - 5. Is ((-2)/u)/((-2)/114) prime?
True
Suppose q = -31 + 125. Is q prime?
False
Suppose -5*z = 3*d - 9415, z + 3*d = 2*z - 1883. Is z a prime number?
False
Suppose 5*c = 5*u, 3*u + 0*u = 2*c. Suppose 103 = 5*m - r, m + 4*m - 3*r - 99 = u. Is m composite?
True
Suppose -m = 5*q - 1044, -2*m - 2*q = -q - 2079. Is m a prime number?
True
Suppose 139*i - 892 = 135*i. Is i a composite number?
False
Is 16624/9 + (-4)/36 composite?
False
Suppose 7*y - 1309 = -0*y. Is y a composite number?
True
Suppose 0 = -8*a + 1995 + 7213. Is a a prime number?
True
Let j = 20 - 6. Is (4 + -5)/((-2)/j) composite?
False
Suppose -d - v - 90 = 4*d, 36 = -2*d - 2*v. Is ((-603)/d)/(1/2) a composite number?
False
Suppose -2*p + 4 + 2 = 0. Let q(s) = 2*s**2 - 3*s**2 - s**2 + p*s**2 + 39. Is q(0) composite?
True
Let f(j) = -j**3 + 8*j**2 - 2*j + 8. Let o be f(6). Let z be 369/(-9)*-1*3. Let n = z - o. Is n composite?
True
Suppose -u + 1799 = 2*f - 0*u, -2*f - 2*u = -1804. Is f/(-1 - 2)*-1 prime?
False
Let c(x) = -34*x + 1. Suppose -5 + 1 = 4*w. Let r be c(w). Let a = 18 + r. Is a a composite number?
False
Suppose -8*u + 5*u + 1791 = 0. Is u a composite number?
True
Suppose -s - 3*v + 58 = 0, -2*s + 3*v + 72 = -2*v. Is s a prime number?
False
Let q(o) = 195*o + 2. Is q(3) a composite number?
False
Suppose -2*f + f = w - 2, 0 = 2*w - 5*f - 32. Is w a composite number?
True
Suppose -4*v - t = -709, 0 = -v + 3*v - 5*t - 349. Is v prime?
False
Let s(t) = 4*t**2 + 2*t - 1. Let p = 16 - 14. Is s(p) composite?
