
True
Let m(u) = -20*u + 1. Let x(t) = -19*t + 1. Let i(c) = 5*m(c) - 6*x(c). Is i(1) a prime number?
True
Is 1414 + 0/5 + -3 a prime number?
False
Let p = -1956 + 2753. Is p a composite number?
False
Let b be 1 - (4 + 0 - 2). Let n be b/(-3) + (-285)/(-9). Suppose 6*y - 2*y + a = 16, -n = -4*y - 5*a. Is y a prime number?
True
Suppose 4*l - 13 = -5. Suppose 185 = 5*g - 4*g + 3*t, l*g + 2*t - 378 = 0. Is g a composite number?
False
Let a = -1897 - -4358. Is a a composite number?
True
Let h(y) = 3*y - 2. Is h(7) composite?
False
Let f(m) be the second derivative of 2/3*m**3 - m + 0 - 7/2*m**2 + 1/12*m**4. Is f(6) a prime number?
True
Suppose 5*j + 3 - 18 = 0. Suppose -p = 5*a - 113, 3*p = j*a - 34 - 41. Let s = a + -13. Is s a prime number?
False
Let z = 2 - 4. Let w(r) = -11*r**3 - 3*r**2 - r - 1. Is w(z) prime?
False
Suppose 0*w - 11 = -5*k - w, -2*w = 5*k - 12. Suppose 3*i = -4*v - 2, k*i - 3 = -7. Is (-98)/(-3) + v/3 a composite number?
True
Suppose -n - n = -5*m + 35, -4*m + 32 = -2*n. Let y be (4 - 1) + (17 - 9). Let w = y - n. Is w composite?
True
Let m = 62 - -375. Is m a prime number?
False
Suppose 3*o + 5*s + 1635 = 422, 3*o + 1178 = 2*s. Is (o/27)/(2/(-3)) composite?
True
Let i(r) = r**3 + 2*r**2 - 3*r + 2. Let t be i(-3). Let y(d) = 21*d**2 + t + 2*d + 2 - 20*d**2. Is y(3) composite?
False
Let k(j) = j. Let o be k(-1). Is (3 + o + -3)*-133 a prime number?
False
Let j(b) = -92*b**3 - 2*b**2 - b. Let s = -14 + 13. Is j(s) a composite number?
True
Suppose 293 = 28*q - 27*q. Is q a composite number?
False
Suppose -2*q = 5*b - 382, b = q + 3*b - 191. Is q composite?
False
Let r(h) = 19*h**2 + 7*h + 7. Let a be 14*2*(-1)/(-4). Let d be r(a). Suppose 4*c - d = c. Is c composite?
True
Suppose 3*y - 4*y = 0. Suppose y = -2*p + c + 29, -2*c - 35 = -2*p + c. Is p a composite number?
False
Let y(a) = -a**2 - 24*a - 13. Is y(-16) a composite number?
True
Let x = 270 + -128. Suppose 2*j - x = -0*j. Is j composite?
False
Suppose -5*m = -4*m - 161. Is m prime?
False
Suppose -2382 = -2*u - 2*x, -3*u = -4*u + 3*x + 1199. Is u a prime number?
True
Is -10*((-441)/6 + 4) a prime number?
False
Suppose s = 161 + 358. Is s prime?
False
Let n(c) = -2*c. Let r be n(4). Let q be 587/(-15) - (-2)/15. Let g = r - q. Is g prime?
True
Suppose 3*o + 5*n - 21 = 0, -5*n + 0 + 17 = o. Suppose o*w = -2*m + 144, 5*m - 209 = -3*w - 3. Is w prime?
False
Suppose 3*r - 1 = -16, 4*t - 3*r + 109 = 0. Let y = 6 + -8. Is y/4 + t/(-2) a prime number?
False
Suppose 0 = -0*x - 5*x + 11585. Is x a prime number?
False
Suppose 0 = -0*b + b + 9. Let j be (-12 + b/(-3))/1. Let c(w) = -6*w - 11. Is c(j) prime?
True
Suppose 2*b - 8 = -4*z, -3*z + 2*z + 5*b + 24 = 0. Suppose z*d - 26 = 2*d. Is d a composite number?
False
Let h(v) = 2*v**2 + 7*v - 5. Let m be h(-6). Suppose 0 = a - m - 52. Is a prime?
False
Let q(c) = -c**3 - 5*c**2 - c - 6. Let j be q(-5). Let p(v) = 76*v**2 - v. Is p(j) a composite number?
True
Is 656/1 + 2 + 1 + 0 a prime number?
True
Suppose -2*j - 3*p = -286, 0*p + 8 = -2*p. Is j composite?
False
Let g(j) = j**3 - 3*j**2 - 2*j + 5. Let q(f) = f + 2. Let n be q(0). Suppose 0 = 3*l + n - 14. Is g(l) composite?
False
Let i(w) = w + 7. Let h be i(-7). Suppose 4*q - 1061 - 959 = h. Is q prime?
False
Suppose -2*j + 3*j = 0, 3*y + 5*j = 2019. Is y a prime number?
True
Let s = -647 - -1260. Is s prime?
True
Let o be 3/9*-3 + -1551. Let b = -981 - o. Is b prime?
True
Let i(f) = -f - 3. Let q be 8/6*(-18)/4. Let m be i(q). Suppose -45 = -b - 2*b - k, -5*b + m*k + 75 = 0. Is b a composite number?
True
Let n(c) = -c**3 - 7*c**2 - 7*c. Let a be n(-6). Let m(p) = p**2 + 2*p - 9. Is m(a) prime?
False
Let z(k) = 10*k + 1. Let f(m) = -49*m - 6. Let i(u) = u**2 + 4*u + 1. Let c be i(-3). Let n(b) = c*f(b) - 11*z(b). Is n(-2) composite?
True
Suppose 5*d + 5005 = -5545. Let o be (-4)/18 + d/(-18). Suppose 2*n - o = -n. Is n composite?
True
Let v = 3 + -6. Let o be v*((-4)/(-6))/(-1). Suppose -3*x - 41 = -z, -o*z + 97 = -x + 5. Is z a composite number?
False
Let b = -36 + 133. Is b a composite number?
False
Is ((-21)/6)/(5/(-310)) composite?
True
Let i(n) = 18*n**2 + 2. Is i(-2) prime?
False
Suppose -g - 5*d = g + 381, 2*g + 2*d = -366. Let w = g + 269. Is w a composite number?
True
Let z(w) = -w**3 - w**2 - w. Let r(d) = 1 + 0 - d**3 + 5 + 4*d**2 - 1. Let n(j) = -r(j) + 2*z(j). Is n(-6) a prime number?
True
Is (-163)/((-3)/(-6)*-1) prime?
False
Let k = 2 + -2. Suppose k*l + 31 = -2*l + n, 4*l + 65 = 5*n. Let a = l + 26. Is a a prime number?
True
Is (0 - 89/2)*(-38)/1 composite?
True
Suppose -2*h + 7*h - 725 = 0. Is h a composite number?
True
Let u(q) = -316*q**2 + 7*q + 5. Let n(v) = -158*v**2 + 3*v + 2. Let a(z) = -5*n(z) + 2*u(z). Let g be a(-1). Let t = -80 + g. Is t a composite number?
False
Let i = -191 - -982. Is i a prime number?
False
Suppose 0 = -8*y + 3*y + 2855. Is y prime?
True
Is (-4)/((-28)/1) + (-4170)/(-14) prime?
False
Suppose -48*v + 45*v + 438 = 0. Is v prime?
False
Suppose -4 = c + 4. Let y be -3*(2 - c/(-3)). Suppose -167 = -3*m - y. Is m composite?
True
Let p(t) = t**2 + 2*t + 1. Suppose -6 = -5*a + 2*i - 31, -i + 11 = -2*a. Let g be p(a). Suppose -g*x + 50 = -3*k, -2*x - 3*x = -k - 68. Is x a composite number?
True
Suppose 3*i = 4*b - 595, 0*b + 3*b - 2*i - 445 = 0. Is b composite?
True
Suppose 0*o - 5*n + 13 = 4*o, -o = 4*n - 6. Let a be (-5)/(-2) - o/(-4). Is (-423)/6*(-2)/a prime?
True
Let n(b) = -19*b - 1. Let i be n(-1). Let p = -8 + i. Is p a prime number?
False
Let k(b) = -b**3 + 7*b**2 + 8*b + 9. Let c = 15 + -7. Is k(c) composite?
True
Let a(r) = -41*r**3 - 2*r**2 - 3. Is a(-2) composite?
False
Suppose 10*x - 12*x = -2014. Is x prime?
False
Let y(z) = -2*z**2 - 9*z + 15. Let j(f) = -f**2 - 4*f + 7. Let t(u) = -11*j(u) + 6*y(u). Let d(r) = 2*r**2 + 21*r - 22. Let p be d(-11). Is t(p) composite?
False
Let y = -1 - -5. Suppose 0 = -3*a + 2*r + 16, 0 = 3*a + 3*r - y*r - 17. Let c(x) = x**2 + x + 5. Is c(a) a composite number?
False
Suppose 0 = -7*f + 492 + 103. Is f composite?
True
Let h be 7/2 - (-2)/(-4). Let v(t) = -3 - t + h - 2. Is v(-6) composite?
True
Let j(i) = i**2 - 8*i + 6. Let g be j(7). Suppose b = -58 + 14. Is g/(((-6)/b)/(-3)) a prime number?
False
Let n be ((-1)/(-2) - 0)*-526. Let p = -174 - n. Is p composite?
False
Let q(z) = 26*z + 1. Is q(6) composite?
False
Let b = -354 - -1117. Is b composite?
True
Suppose 0 = -k - 12 - 3. Let o = 6 + k. Is (-177)/o - (-2)/(-3) prime?
True
Let y(a) = -a + 1. Let c be y(1). Let f(i) = -i**2 - i - 187. Let r be f(c). Let q = -96 - r. Is q a prime number?
False
Let v be 0/2 - -7 - 2. Let d(x) = 2*x**2 + v*x - x**3 + x + 2*x**2 + 4*x. Is d(-7) a composite number?
True
Suppose 6 = 4*u + 2. Is 115 - (-3 + u - -2) composite?
True
Let q(o) be the first derivative of o**3/3 + o**2/2 + 47*o - 3. Is q(0) prime?
True
Suppose 0*f - 6 = 2*f. Suppose -3*v - 5 + 14 = 0, 2*y - 5*v + 17 = 0. Is 5*1*(y - f) a composite number?
True
Suppose 10 = -2*g - 3*g. Is (28/(-35))/(g/85) composite?
True
Is -1 - -1 - (-924)/12 prime?
False
Suppose -4*t + 1036 = -6*t. Let r = -333 - t. Suppose 4*k = -5*q + 289, 5*q + 2*k - 102 - r = 0. Is q a prime number?
False
Let l = -8 - -10. Is 1/l*-2*-119 a prime number?
False
Let h(q) = 4*q**2 - 3*q - 11. Is h(-10) prime?
True
Is ((-18)/12 + 1)/(3/(-3798)) a prime number?
False
Suppose 0*x - 4*x + 1002 = -2*a, 3*x - 2*a - 750 = 0. Let n = 501 - x. Is n a prime number?
False
Suppose 0 = -3*o + 3*i - 432, -5*o - 728 = 4*i - 5*i. Let x = -31 - o. Is x a composite number?
True
Let s(a) = 98*a - 9. Is s(7) a composite number?
False
Let h be (-3 + 5)*1941/6. Suppose s + s = 4*c - 650, -5*s - h = -4*c. Is c a composite number?
False
Suppose -6855 = -9*n + 2172. Is n a prime number?
False
Let z(v) = -186*v - 29. Is z(-6) prime?
True
Let m be (3 + -2)*(0 + 0). Suppose -3*u + i - 157 = -2*u, m = 4*u + i + 618. Is u/(-5) + -1 + 1 a composite number?
False
Let c be (-3)/1 + (20 - 6). Let v(t) = -2 + t - 5 - 1. Is v(c) a composite number?
False
Let f(w) = 26*w - 9. Is f(15) composite?
True
Suppose -g = -24 - 165. Suppose 0*v - g = -3*v. Let y = v - 29. Is y composite?
True
Let m(l) = l**2 + 5*l - 1. Let f be m(-5). Let i(a) = -94*a - 1. Is i(f) prime?
False
Suppose 5*t - 3081 - 32 = m, -4*t = 4*m - 2500.