e number?
False
Let p = 105 + 77. Is p + 6 - (1 + 0) composite?
True
Suppose -4 = -b, -4*m = m - 2*b - 12. Suppose 2*l + 8*w = 3*w + 13, 5*l = -m*w + 75. Suppose l = 2*h - h. Is h prime?
True
Suppose 5*u = 15, -9*m + 5*m + 5*u = -24965. Is m prime?
False
Suppose 3*q - 43 = -5*p, 3*q = 2*q - 5*p + 31. Is q/(-6) + 206 + -2 prime?
False
Let s(i) = -i**2 - 7*i - 1. Let x be s(-6). Suppose -4*w + 5 = 3*q, w - 13 = -w - x*q. Is (-2)/2*w + 25 a composite number?
True
Let p(s) = s**2 + 5*s + 4. Let w(d) = -d - 10. Let y be w(-7). Let g = y + -3. Is p(g) a composite number?
True
Let o(w) = 2*w**2 + w + 6. Is o(7) a composite number?
True
Suppose -2*p + 5*n + 80 = 3*p, -n + 44 = 2*p. Let a be (0 - 10)*8/p. Let u(w) = -9*w - 1. Is u(a) composite?
True
Suppose 5*o - 42 = -h, o + 5*h - 8 = 10. Let x = o + -3. Is 3 + (6*x - 0) prime?
False
Let x(o) = -o**3 - 4*o**2 + 5*o + 3. Let r be x(-5). Let v(h) be the second derivative of 4*h**3 - 3*h**2/2 + h. Is v(r) prime?
False
Let b be (-135)/(-117) - (-2)/(-13). Is 6 + -4 + 87*b composite?
False
Let n(c) = -c**2 + 8*c - 2. Let r be 0 + 9 - (0 - -2). Let b be n(r). Suppose -b*k + 3*x = -55, -6*x + x + 39 = k. Is k composite?
True
Suppose 2*n + 264 - 929 = -3*m, 456 = 2*m - 5*n. Is m composite?
False
Let r(t) = -479*t**3 - t**2 + 1. Is r(-1) a prime number?
True
Let k(x) = 23*x + 15. Let m(g) = 13*g + 5. Let h(f) = 53*f + 19. Let o(a) = -2*h(a) + 9*m(a). Let c(y) = -2*k(y) + 5*o(y). Is c(8) prime?
False
Let f(x) = -x - 1. Let g(v) = -3*v. Let w(p) = -4*f(p) + g(p). Let z be w(0). Is -1 - 2/(z/(-6)) prime?
True
Suppose -u + 78 = 2*b, -3*u = u + 5*b - 315. Suppose -4*r + 196 = -3*h, -2*r - 3*h + 98 = -0*r. Let x = u - r. Is x prime?
True
Suppose 0 = -b - 0*b + 5. Let p be 22/10 - 1/b. Suppose p*u = 74 + 28. Is u a prime number?
False
Suppose -5 + 21 = 4*c. Let u(o) = 16*o + 5. Is u(c) a prime number?
False
Suppose l = -l + 794. Is l a prime number?
True
Let u(k) = -2*k**3 - k - 1. Let w be u(-1). Suppose j + 20 = s - 1, -w*j - 2*s - 26 = 0. Let n = j - -40. Is n composite?
False
Suppose 2*j + 3*j = o + 995, 995 = 5*j + 2*o. Is j composite?
False
Let l(g) = -g**3 - g**2 + 4*g + 1. Let s = 9 + -13. Let y be l(s). Suppose -3*o + 4*k = -y, 0*o + 2*o - 23 = 3*k. Is o prime?
True
Let z be (-5)/20 + 1/4. Suppose -4*u = -q + 161, 2*u + 751 = 5*q - z*u. Is q a composite number?
False
Let k(z) = -9*z**2 + 10*z - 9. Let o(p) = -4*p**2 + 5*p - 4. Let c(n) = -3*k(n) + 7*o(n). Let w be c(5). Is w + 1 - (-6 + -181) composite?
True
Suppose -10*w + 6*w = 0. Let s = 2 - w. Is s a composite number?
False
Let u(t) = 2*t**3 - 14*t**2 + 3*t + 2. Is u(11) prime?
False
Suppose 2*w - 113 = w. Is w composite?
False
Let w(t) = 2*t**2 - 4*t + 5. Let i be (-1 - 3/(-6))*-10. Is w(i) a composite number?
True
Let h(z) = -7*z**3 - 18*z**2 - 15*z + 14. Suppose -4*d = 20 - 0. Let x(i) = 4*i**3 + 9*i**2 + 8*i - 7. Let j(t) = d*x(t) - 3*h(t). Is j(-6) a prime number?
True
Let v(b) be the third derivative of -b**4/6 + 7*b**3/6 + b**2. Suppose 8 = -p + 1. Is v(p) prime?
False
Is 314/4 - (-2)/4 a composite number?
False
Suppose 4927 = -0*i + 13*i. Is i a prime number?
True
Let f(y) = -y**2 - 5*y + 4. Let t be f(-6). Let d(r) = -r**2 - 4*r - 3. Let p be d(-4). Is (2/p)/(t/63) a composite number?
True
Suppose 2*j = -0*j + 14. Let v(h) = 2*h**2 - 3*h + 10. Is v(j) composite?
True
Let l be (-30)/(-7) - 6/21. Let a be 7/14 + (-1)/2. Is (22/l - a)*10 a composite number?
True
Suppose 107 = -2*l + 15. Let n = l - -83. Is n a prime number?
True
Let t(y) = 68*y - 15. Is t(13) prime?
False
Suppose -3*g = 154 - 583. Is g composite?
True
Let g(p) = p**2 + p - 7. Is g(-8) a composite number?
True
Suppose -i + 0 + 3 = 0. Suppose i*w + 9 = 3*s, -2*s + 3*s + 1 = 0. Let l = 7 + w. Is l prime?
True
Let o(p) = p**3 + 6*p**2 - 9*p - 3. Is o(-6) composite?
True
Let m(p) = -2*p**3 + 58*p**2 + 3*p + 42. Is m(29) composite?
True
Suppose -2*g - 3145 = -5*k, -2*k - 3*g + 2493 = 2*k. Let r = k - 334. Is r composite?
False
Suppose 636 = 3*l - 3*o, -2*o + 547 - 127 = 2*l. Is l composite?
False
Suppose 50 + 14 = 4*v. Let a be (2 + (0 - v))*-1. Suppose -10 = -4*z + a. Is z a composite number?
True
Is (-4)/(-4) - (-233 + -1) prime?
False
Let k = -2 + 3. Let w be ((-6)/(-3))/(k/2). Let g(v) = v + 5. Is g(w) a prime number?
False
Suppose 3*w - 432 = 561. Suppose 3*h - 2*h - w = 0. Is h prime?
True
Let x(m) = m**3 + 5*m**2 + 3*m. Let h be x(-4). Let i(s) = s**2 - 2*s + 5*s + 3*s - h. Is i(5) composite?
True
Let m(h) = h**2 - 7*h + 2. Let u be m(6). Let o(d) = d**3 + 5*d**2 + 4*d + 2. Let j be o(u). Suppose -3*s - j*s + 385 = 0. Is s a composite number?
True
Suppose -15*f + 12*f = -2019. Is f a composite number?
False
Suppose 2*p + 6 = -p. Let y = -2 - p. Let r(k) = k + 19. Is r(y) composite?
False
Let z be ((-4)/5)/(16/(-40)). Is 157 + (0/z)/3 a prime number?
True
Suppose -m = -4*m + 447. Suppose 3*q = 5*z - 0*z - m, 4*z + q = 126. Is (z/3)/((-1)/(-3)) a prime number?
True
Let p = -219 + 382. Is p a prime number?
True
Let a(b) = -29*b - 1. Suppose 0*y - 3*y = 15. Let u(g) = -29*g. Let k(m) = y*u(m) + 4*a(m). Is k(3) composite?
False
Suppose -3*h = -3 - 9. Suppose 85 - 33 = h*v. Is v a prime number?
True
Let z(i) = i**2 + i - 4. Let u be z(-3). Is (-798)/(-9) + u/6 a prime number?
True
Suppose 0 = -3*k - 12, 4*z + 3*k - 8 = k. Suppose -5*n + m - 54 + 244 = 0, -z*m = -3*n + 114. Suppose y = -y + n. Is y composite?
False
Suppose -y + 3*k + 1943 = -0*y, 0 = 2*y + 2*k - 3902. Is y a prime number?
True
Let i be 0 - (3 + -1 - 3). Suppose 3*t - 22 = -g - i, 0 = -g - 2*t + 17. Is 7316/36 - 2/g a prime number?
False
Suppose 2*q - 2 = 2, 961 = 5*g + 3*q. Is g composite?
False
Let f(v) = -v**3 + 2*v**2 + 4*v + 1. Let j be f(3). Suppose 4 = 2*a - j. Suppose -a*o + 44 = -32. Is o prime?
True
Suppose 0 = -2*p - 3*h + 204, 0 = -p + 4*h + 4 + 87. Let s be (-257 + (-1)/(-1))/(-1). Suppose j = b + 72, -5*j + p = -4*b - s. Is j prime?
True
Let z(m) = 25*m**2 + 5*m + 1. Is z(-3) prime?
True
Is 9/((-9)/(-26))*1 a composite number?
True
Suppose -1547 = -r + 4*w - 2*w, 0 = 2*r - w - 3079. Is r composite?
True
Suppose -3*l = -0*l. Suppose l = -8*p + 4*p + 140. Is p composite?
True
Let z = 1975 - 1383. Let a = z + -401. Is a a composite number?
False
Is (-2)/5 + (-67)/(-5) a composite number?
False
Let n = 4 + -2. Let y be (n - -58)*(2 - 1). Let s = y - 37. Is s a prime number?
True
Let z = 110 + -43. Is z a prime number?
True
Let j(p) = -3*p + 4. Let f be j(-7). Suppose -5*w = f - 5. Let i(q) = -8*q + 5. Is i(w) prime?
True
Let f(m) = -9*m**2 + 5*m - 8. Let z(q) = -1. Let t(p) = -f(p) + 3*z(p). Is t(6) composite?
True
Let w = 13 + 59. Suppose 10 = 2*k + 2*i - w, -i + 4 = 0. Is k prime?
True
Let w(u) = 139*u**2 + 1. Let p(h) = -138*h**2 - 1. Let l(q) = 5*p(q) + 6*w(q). Let t be l(-1). Suppose -2*f - c + t = -0*f, 3*f = -4*c + 210. Is f prime?
False
Suppose 13*w - 2469 = 3134. Is w a prime number?
True
Let t = 1 + 5. Suppose 0 = -t*z + z. Suppose r - 3*o + 0*o - 16 = z, 0 = -4*r - 3*o + 4. Is r a composite number?
True
Is 13424/4 + (-6 - -3) composite?
True
Let i = 8 + -2. Is i/9 - 48/(-9) composite?
True
Let c = -7 - -2. Let x(k) = -5 - 3*k**2 - k - 4*k**2 + 8*k**2. Is x(c) a prime number?
False
Let x = -4617 + 8030. Is x prime?
True
Let z(x) = 8*x**3 - 5*x**2 - 20*x + 14. Let t(p) = 3*p**3 - 2*p**2 - 7*p + 5. Let h(l) = 11*t(l) - 4*z(l). Is h(5) a composite number?
False
Suppose -5*d + h + 2*h = -8445, 0 = -h. Is d a composite number?
True
Let v be 3/(-2)*8/(-6). Let j = v + 10. Suppose 1 - j = -x. Is x a composite number?
False
Let v be ((-2)/(-4))/((-2)/(-32)). Let w = 11 - v. Suppose -w*x + 382 = -x. Is x a composite number?
False
Let p(o) = -10*o + 50 + 35*o - 32. Is p(11) a prime number?
True
Let d(h) = 635*h**2 + 3*h + 1. Is d(-1) a composite number?
True
Suppose 4*h - 68 = 2*h. Is h prime?
False
Is (-8)/(-10) - 169301/(-55) prime?
True
Suppose -2*p + 5*i + 372 = i, -962 = -5*p + 2*i. Is p composite?
True
Let q(y) be the first derivative of y**4/4 - 11*y**3/3 + 15*y**2/2 - 3*y - 3. Is q(10) composite?
False
Suppose -2*m + 609 + 129 = 0. Suppose 5*l = x + 4*x + 375, x = -5*l + m. Is l composite?
True
Let c(l) = 12*l - 2. Suppose -2*t - 5*o + 10 = 0, -38 = -5*t - 5*o - 13. Is c(t) a prime number?
False
Let