
True
Suppose -9099 = -h - p, -2*h + 2*p + 21193 = 2991. Let i = h - 1979. Is i a composite number?
False
Let r(v) = 7*v. Let a be ((-5)/(-3))/((-11)/(-33)). Is r(a) a composite number?
True
Suppose 3*v + v - 20 = 0. Is (-2 - -2) + v + 368 a prime number?
True
Suppose -2*r + 2*w = -12, 4*w = -2*r - w - 2. Suppose 100 = 2*v + 3*v - 5*a, -4*v - r*a = -88. Is v a prime number?
False
Let z = 103 + -105. Is (z/8)/((-7)/13972) prime?
True
Let w(l) = -l**3 - 1. Let i(g) = 3*g**3 + 9*g**2 - 2*g + 13. Let c(u) = -i(u) - 2*w(u). Is c(-12) a prime number?
True
Is -6 + 7 + 5/(-5) - -20019 a prime number?
False
Suppose 2*r = 3*b - 2245, -4*b = b - 5*r - 3735. Is b prime?
True
Suppose -74*d + 853014 = -1889648. Is d prime?
False
Let a(j) = j**2 + 9*j - 3. Let r be a(-17). Suppose 4*h + r = -i + 2*i, -251 = -2*i + 5*h. Is i composite?
False
Suppose 4*p - 3888 = -5*y, -2*y + 455 = -3*p - 1114. Let q(j) = 36*j - 383. Let k be q(21). Let u = y - k. Is u prime?
False
Suppose z = 5*h + 3*z - 17, 0 = 2*z + 8. Suppose 4*x = h*w + 584 - 2328, 1738 = 5*w + 2*x. Is 7 + -7 + w + -1 composite?
False
Let f = -28 + 92. Suppose f + 77 = 3*s. Is s prime?
True
Let z be (55/10)/(3/18). Suppose 3*u - z = 2*u. Is u composite?
True
Let h(x) = 2*x. Let q be h(-2). Suppose o - 2*m = 9, -2*m - 8 = 2*o - 4*o. Is -1*((o - q) + -56) a prime number?
True
Let u be (-556)/3*(-4 - 91/14). Let z = u + -1212. Is z a composite number?
True
Let t(z) = z**3 - 6*z + 23417. Is t(0) a composite number?
False
Let b(v) = 3*v**2 - 19*v + 85. Is b(27) composite?
False
Let r(j) = -28*j - j + 18*j + 18 - 68*j. Is r(-17) a prime number?
True
Suppose 2*c - 2 - 2 = 0. Let o(g) = -4*g**2 - c*g + g**3 + 5 - 4 - 2*g**3. Is o(-6) prime?
False
Let n(a) = a**3 + 14*a**2 + a. Let r be n(-6). Let w = r - -631. Is w prime?
False
Let g(v) = 5*v + 14. Let o(w) = -9*w - 27. Let x(n) = 5*g(n) + 2*o(n). Let a = 27 + -18. Is x(a) a prime number?
True
Suppose -3*y - y = -4*i, 0 = -4*i + 3*y + 1. Let m(x) = 11*x**2 + 2*x + 1. Let f be m(-1). Is ((-298)/f)/(i/(-5)) prime?
True
Let p = 475 - 209. Let k = p - 139. Is k a composite number?
False
Is (-6)/((-12)/(-94))*(-745)/5 prime?
False
Let l = 196 + 681. Suppose 2*u - 3*d + 0*d = l, 3*u = 2*d + 1313. Is u a prime number?
False
Let u(h) = -103*h - 151. Is u(-18) a prime number?
False
Let w = -226 + 116. Let t be (w/(-40))/((-1)/(-8)). Suppose 62 = 4*q + t. Is q a composite number?
True
Let u be -3 + 4 + 698 + -2. Let i = u + -176. Let h = i - 312. Is h a prime number?
False
Suppose 0*h + h - 3 = -b, 21 = 5*h + 3*b. Let p = 12 + h. Let m = p + 20. Is m a prime number?
False
Let w be 3/((4/(-1))/(-12788)). Suppose 0 = -3*u + w - 37755. Is u/(-16) - (-2)/8 a composite number?
False
Suppose -r = 3*p - 12509, 4*r - 57798 = p - 7827. Is r a composite number?
True
Let v(h) = -122*h + 4. Let s be v(-6). Suppose -2*t + 378 + s = 0. Is t composite?
False
Let x = -755 - -1192. Let j = 146 - x. Is -2*2/4*j prime?
False
Let i = 1198 - -2485. Is i a composite number?
True
Let k(l) be the third derivative of 53*l**5/60 - l**4/8 - 17*l**3/6 + 7*l**2. Let v be k(5). Is v*((-1)/(-1))/3 prime?
True
Let j(z) = 6*z**2 - 5*z - 8. Let m(n) = 2*n**2 - 2*n - 3. Let i(v) = 4*j(v) - 11*m(v). Suppose -5*o = 4*r - 0*r - 23, -4*r = o - 11. Is i(o) a prime number?
False
Suppose 2*j - 27 + 17 = 0. Suppose j*m - 1337 - 128 = 0. Is m prime?
True
Let k = 13921 + -22993. Is k/(-5) + 68/(-20) + 3 prime?
False
Suppose 0 = -21*m + 132030 + 18687. Is m a prime number?
True
Let y = -36 + 33. Let u be (-7)/3*-3 + y. Suppose 4*z + z + 147 = p, -365 = -3*p - u*z. Is p prime?
True
Let d = 266 - 260. Suppose 5*k + 4440 = -0*k. Is (-4)/d*k/16 composite?
False
Let b(k) = 3 + 4 - 16*k + k**3 + 14*k**2 - 9 - 10. Let g be b(-15). Suppose -2043 = -3*x + 3*a, g*x - 2*a + a - 2051 = 0. Is x a prime number?
False
Suppose 2*y + y = -192. Let d = y - -111. Is d a prime number?
True
Let k be -3*(-6 - -4)/2. Is (4 + -881)*(2 - k) a composite number?
False
Is (6147/(-15))/((-3)/15) composite?
True
Suppose v + 5 = 0, v = 2*k - 2*v + 1. Is ((-6)/9)/(k/5748) prime?
True
Is (-4)/20 + -3 + 3471/5 a prime number?
True
Let j(d) be the first derivative of -3*d**4/4 + 4*d**3/3 + 3*d**2/2 + 11*d - 14. Is j(-5) a prime number?
False
Let h(w) = 1 - 18 + 22*w - 1 + 3. Is h(10) a prime number?
False
Suppose 119*o = 139*o - 122780. Is o a prime number?
False
Suppose t - 6 = 8. Let x(n) = 0*n - t*n - 8*n - 9*n. Is x(-5) a prime number?
False
Suppose 56331 = -10*z + 19*z. Is z a composite number?
True
Is (0 - (0 - 6)) + (-789875)/(-25) a composite number?
False
Suppose -5*x + 4*m + 13 = 0, 0*x - m = -2*x + 4. Is x/(((-3)/887)/(-3)) prime?
True
Suppose 7*k + 23516 = 75225. Is k a prime number?
False
Let d(n) = 1728*n**3 + 1. Suppose -l = -y - 5*l - 13, 2*y + 11 = -3*l. Let c be d(y). Let a = 3930 + c. Is a a composite number?
False
Let r(m) = 35*m**2 + 8*m + 214. Is r(-19) a prime number?
True
Let y = -7895 - -15759. Suppose 4*x = -4*x + y. Is x a composite number?
False
Let m(v) = -v**2. Let n be m(0). Suppose n = 3*w - 8*w - 6465. Let j = w + 2332. Is j a prime number?
True
Suppose -4*n = -2*c + 68 + 2050, 3*c + 3*n = 3132. Is c a composite number?
False
Suppose 54*s - 18608 = 38*s. Is s a composite number?
False
Suppose 2*r - 14981 = -2*k - k, 0 = 2*k + 4*r - 9974. Is k a composite number?
True
Suppose -2*y + 3*f + f = -8, 12 = -4*f. Is 1/(y + (-8396)/(-4196)) composite?
False
Let l(v) = 2*v**2 - 2*v - 1. Let u be l(2). Suppose 3 = 2*m - u*m. Is 376 - (-4 + m/(-3)) a composite number?
False
Suppose -5*x + 5*z + 3515 = 0, 1410 = 5*x - 3*x - z. Is x a composite number?
True
Let r(m) = -m**3 - 13*m**2 + m - 4. Let a be r(-13). Let i(d) = 6*d**2 - 9*d + 4. Let y be i(6). Let o = a + y. Is o a composite number?
False
Let g = -5781 + 8876. Is g a composite number?
True
Suppose 2*q - 5 = 3. Suppose 16 = 4*l + q. Is 379/l + 12/18 a prime number?
True
Let t(i) = 27*i**2 - 8*i + 11. Suppose -5*n = -5*v, -4*n + 19 - 3 = 0. Is t(v) a prime number?
False
Let v(o) = -2*o**2 - 13*o - 3. Let p be v(-6). Is -1126*p*2/(-12) a prime number?
True
Let w(k) = 58*k**2 - 2*k + 3. Let q be w(-6). Suppose q = 3*g - x, -g - 3*x - 183 = -874. Suppose -g + 1775 = 5*f. Is f a composite number?
True
Is (-84)/70 - (0 - (-445773)/(-15)) a composite number?
False
Let i be -13 + 13 - (7 + -1). Is 356/i*21/(-14) a prime number?
True
Let h be (11 - -2)*1*1. Let u = 126 + h. Is u a composite number?
False
Let d(f) = 81*f + 1. Let m be d(1). Let r = -15 + m. Is r composite?
False
Suppose 2*n - 815 = l, 0 = -5*n - 2*l + 1158 + 884. Let g = n - -7. Is g a composite number?
True
Suppose 4*n = 0, -2*n + 38 = 5*j + 163. Is 5/j + 792/10 a prime number?
True
Suppose 2*o + 191 = -j - 0*o, -3*o + 201 = -j. Let s = -64 - j. Is s a prime number?
True
Let i = 28 + 101. Suppose -165 = -2*v + 3*h, v + h - 114 = -39. Let d = i - v. Is d a prime number?
False
Let q(z) = 225*z**2 + 7*z - 19. Is q(8) a prime number?
True
Suppose 3*x + z = -0*x - 4, x = 5*z - 28. Is ((-9)/8 - x/24)*-263 prime?
True
Let h be (-6 + 5)*(-28)/2. Is 2320/h - 4/(-14) prime?
False
Let n(z) = 4*z - 4. Let o be n(2). Suppose f - 5*w = 23 + 104, -o*f = -w - 508. Is f a prime number?
True
Suppose -461 = -6*g + 1441. Is g prime?
True
Suppose 0 = m + m - 1780. Suppose 5*u + 5*b = m, b = -b. Suppose u + 623 = 3*q. Is q prime?
False
Is (20 - 19)*(3823 - (4 + -2)) composite?
False
Suppose 10*f + 7336 = 11*f + 3*s, -f + 7312 = -5*s. Is f composite?
True
Let z be 3/4 + 351/12. Let t(i) = -10*i + 2 - z*i + 4. Is t(-5) a composite number?
True
Let b(g) = 9171*g + 98. Is b(3) a prime number?
True
Let o(z) = z**3 + 20*z**2 - 27*z - 95. Is o(-16) a composite number?
False
Suppose 6*u + 7 = -11. Is ((-1187)/u)/(8/48) composite?
True
Let i(v) = 5*v - 1. Let x be i(1). Suppose 281 = x*u - 10243. Is u prime?
False
Suppose 897 = 19*u - 8261. Is u a composite number?
True
Let q = 40 - 10. Suppose -12*f + q = -7*f. Suppose -7*w = -f*w - 211. Is w a prime number?
True
Suppose 0 = -5*d - 7049 + 31669. Suppose -m + v = -1643, -3*m + 0*v = 2*v - d. Is m a prime number?
False
Let j = 1992 - -106. Suppose -5*s + 5210 = 3*z, z + 3*z = -2*s + j. Is s composite?
False
Suppose -5*o = -i + 435, -4*o - 261 = -o - 3*i. Let j be 6/(-27) - o/27. Suppose -65 = 