number?
True
Suppose 0*s = 3*s - 9. Suppose -3*d + 0*d = -s. Is -237*(d + 4/(-3)) composite?
False
Let o be (2/(-4))/(2/(-24)). Let w be -3*(-10)/o + -2. Suppose -w*c + 106 + 53 = 0. Is c a composite number?
False
Is (148/(-6))/(18/(-351)) a prime number?
False
Is (34/4)/(-2 - (-625)/310) prime?
False
Let q = 5471 + -3060. Is q a prime number?
True
Let q(o) = -3*o + 14. Is q(-15) a composite number?
False
Is ((-18)/2 - 2)*-1 a composite number?
False
Let m(b) = -b**3 - 3*b**2 + 3*b - 2. Let o(y) = y**3 + 2*y**2 - 2*y + 1. Let r(d) = -5*m(d) - 6*o(d). Let h be r(3). Is (-7)/(-1)*(10 + h) a composite number?
True
Let m(v) = 4*v**3 - v**2 - v + 1. Is m(3) prime?
True
Suppose -2*x + 1708 = -2*h, -7*x = -3*x + h - 3411. Is x prime?
True
Let q be (2 + 2 + -3)*2. Let n = -31 + 48. Suppose n = h - q. Is h composite?
False
Suppose -34 = -q + 3. Is q prime?
True
Let o = 3014 - 1341. Is o a composite number?
True
Let g(z) = 2*z - 8. Let v be g(6). Suppose 1349 = 4*d - 5*r, -v*r + 287 = d - 66. Is d composite?
True
Suppose 3*m - 4563 = 5100. Is m a prime number?
True
Is ((-3)/(-2))/(39/18668) composite?
True
Suppose 5*r - 237 = 398. Suppose -4*m + r + 85 = 0. Is m a prime number?
True
Let p(f) = f + 5*f - f**2 + f**3 - 2 + 0*f**2 + 5. Is p(5) a composite number?
True
Is 2 - (-1)/(1781/445 - 4) composite?
True
Suppose 5*y - u - 29893 = -5*u, -3*y + 4*u = -17955. Is y a composite number?
False
Suppose -7*c = -3*c + f + 12, 0 = 5*c - 2*f + 2. Let p = -5 - c. Let x(z) = -z**3 + z**2 + 3*z - 2. Is x(p) composite?
True
Let y be (-13)/(-4) + 2/(-8). Suppose i = -0*i + 74. Suppose -5*f - 37 = -p, -i = p - 3*p + y*f. Is p a prime number?
True
Suppose 0 = 3*d + 4*b - 222, 296 = 4*d - 0*b - b. Suppose 0 = -4*t - 87 - 85. Let f = t + d. Is f prime?
True
Let q(t) = t**3 + 18*t**2 - 26*t + 10. Is q(-13) a prime number?
True
Let z(l) = -l**3 + 13*l**2 - 6*l - 9. Is z(8) prime?
True
Suppose 21 + 99 = 3*y. Is (-59)/(-2)*y/4 a prime number?
False
Suppose -z + 6*z - 215 = 0. Let p = 20 + 4. Let h = z - p. Is h a prime number?
True
Suppose 3*n + 15 = 5*h, h = -3*h - 3*n - 15. Suppose k = -h*k + 223. Is k a prime number?
True
Let z be -9 - -12 - 1*-1. Suppose -z*r = -0*r - 2*q - 1008, -247 = -r + 3*q. Is r composite?
True
Let o = -21 + 90. Is o prime?
False
Suppose 1 + 9 = 5*u. Suppose 4 = 6*t - 2*t, 3*g = -u*t + 23. Suppose 1 = -3*j + 5*j + k, -g = -4*j - k. Is j a composite number?
False
Suppose 0 = -3*d - d - 32. Let m(h) = h**3 + 9*h**2 + 7*h + 5. Is m(d) composite?
False
Let l(g) = g**3 - 5*g**2 + 5*g + 6. Suppose -j + 6*a + 1 = 3*a, -2*j + 11 = -3*a. Suppose -2*q + 4*q - j = 0. Is l(q) prime?
True
Suppose -5*i + 609 = 2*s + 39, -5*s + 5*i + 1495 = 0. Is s composite?
True
Suppose -6 - 24 = -2*y. Let d be -1*(-4 + (-2)/(-2)). Suppose -c = 4*m - y, 2*m - 3*c - d = -2*m. Is m prime?
True
Let z = 153 + -76. Is z a composite number?
True
Let y be 18 + 1 + 1 + 0. Is (470/4)/(10/y) composite?
True
Let g = -679 + 1268. Is g a prime number?
False
Suppose 0 = -2*a + 4*a - 84. Suppose 2*r = -v + a, -3*v = -2*r + r - 98. Is v composite?
True
Let f = 10 - 4. Let d(o) = o**2 - 5*o + 1. Is d(f) composite?
False
Suppose -44*x + 42*x = -326. Is x composite?
False
Let b = -7 - 87. Let q = b - -173. Is q a prime number?
True
Let v be (1/(-2))/(12/72). Is 83 + 3 - (-3)/v composite?
True
Is (-16)/(-20) + 6762/10 a composite number?
False
Let k = 204 - -7. Is k a prime number?
True
Let j(k) = 8*k**2 - 6*k + 2. Is j(-6) a prime number?
False
Suppose w = -2*z + 19, 6*w = 3*w - 4*z + 59. Is w composite?
True
Let o(g) = -2*g - 13. Let n be o(0). Let i(f) = -6*f - 19. Is i(n) composite?
False
Suppose 0 = 4*s + 4*t - 396, -3*t = 2*s + t - 200. Suppose 0 = -4*m - 8, 2*g + 32 - s = -2*m. Is g a prime number?
False
Let g(y) = -y**3 - 9*y**2 + y + 1. Let m be g(-9). Let s = 70 + m. Is s a prime number?
False
Suppose -x - 1 = -4*i + 7, -5*x - 4*i = -8. Suppose x*g + 3*g = 282. Let y = g - 43. Is y prime?
False
Suppose -3*z = -z - 8. Suppose z*m - g = -0*g + 138, -3*m + 2*g + 101 = 0. Let k = 20 + m. Is k a composite number?
True
Let a = -161 - -91. Let k = 24 - a. Is k a composite number?
True
Is (-1 + (-5 - -5))*1903*-1 prime?
False
Let v(k) = -1822*k - 7. Is v(-2) composite?
False
Let l = -2 - -2. Suppose l = -7*k + 11*k - 232. Is k composite?
True
Let x = -7 + 14. Suppose 3*i + y - x = 0, -i - 2*y = 2*y - 6. Suppose 4*r - 6 = i*r. Is r composite?
False
Suppose 22 + 6 = 4*a. Suppose -u - 2*l = -1, 4*u + a = 2*u - l. Is -3 + (-1 - u) - -3 prime?
False
Let i(b) = b**3 - 12*b**2 - 13*b - 1. Suppose 0*d - 57 = -3*d + 4*k, -5*k - 30 = -d. Is i(d) a composite number?
False
Let g(j) = 2*j**2 - 45*j + 29. Is g(26) a prime number?
True
Suppose -v - 485 = -2*v. Suppose -115 = -5*j - v. Let o = j - -127. Is o a prime number?
True
Let z = 1779 - 1246. Is z composite?
True
Suppose -8 = 3*k + k. Is 404/16 - k/(-8) a prime number?
False
Let a be -2 - (-2 - (-2 - -2)). Suppose a*y = y - 2. Suppose y*w - 316 = -2*w. Is w composite?
False
Let c(t) = t**2 - 29*t - 27. Let s = 1 - -3. Let d(j) = 10*j + 9. Let a(k) = s*c(k) + 11*d(k). Is a(-8) a prime number?
False
Let h(a) = 45*a**3 + 4*a**2 - 10*a + 28. Is h(5) prime?
False
Let s(d) = 47*d**2 - 3*d - 1. Suppose 0*t + 15 = -5*t. Is s(t) a prime number?
True
Suppose 3*t + 3*t = 4710. Let j = t + -466. Is j a composite number?
True
Suppose -2*n = -3*n + 109. Let b = -75 + n. Is b a prime number?
False
Is ((-10096)/8)/(1*-2) prime?
True
Let j(x) = 2*x**3 - x**2 + x. Let h be j(1). Suppose 4*z - 539 = 5*b, -3*z - h*b + 177 + 210 = 0. Is z composite?
False
Let c(u) = 11*u + 7. Let w be c(5). Let v = 50 - 81. Let o = v + w. Is o prime?
True
Let f(z) = -z**3 - z**2 - 2*z - 1. Let n be f(-2). Is n + -10 + 180/2 a composite number?
True
Suppose 4*b = 12, 2*b - b - 2965 = -h. Is h a prime number?
False
Let k = 1009 - 598. Is k a prime number?
False
Let a = 309 - -634. Is a prime?
False
Let n = -339 - -733. Is n composite?
True
Suppose 0 = 3*w - w - 1270. Is w a prime number?
False
Let j be 141/(-18) + (-2)/12. Let v be (1 - -154)*j/(-10). Suppose 3*d = v + 647. Is d a prime number?
True
Suppose -5*m + 7 = -4*y - 2, 0 = -y + m - 1. Suppose 0 = -2*g - 5*b - 1, -6 + 1 = g + y*b. Is g prime?
True
Let d be (-8)/3*(-18)/8. Let b(v) be the third derivative of -v**6/120 + 3*v**5/20 - v**4/3 - 5*v**3/6 - 6*v**2. Is b(d) composite?
True
Suppose 0*p - 5*p + 12 = -4*q, -p = -2*q. Suppose q*c = -6 - 18. Is (-104)/c - (-1)/3 composite?
True
Is (4 + -6*1062/(-8))*2 composite?
False
Suppose 100 = 5*q - 0*q. Suppose 5*x = q, 2*x - 3*x = 2*h - 450. Is h composite?
False
Let q = -4 - -6. Suppose 4*u - 90 = -2*r + q*u, -u - 1 = 0. Is r prime?
False
Suppose 6*o = 9*o - 1581. Is o composite?
True
Let x be 57*((-8)/(-2))/12. Let f = 3 + x. Is f composite?
True
Let s be ((-20)/15)/((-1)/3). Suppose -s*f + 5*r + 1901 = 0, 2*f + 3*f + 3*r - 2404 = 0. Is f a prime number?
True
Let a = -1 + 5. Is a a composite number?
True
Suppose 0 = p - 3 - 0. Suppose s - p*s = 10. Let g(n) = -n**3 - 2*n**2 + 3*n - 2. Is g(s) a prime number?
False
Suppose 5*w = 3*u + 17, 2*u + w - 4 + 24 = 0. Let a = u - -2. Let i(n) = -6*n - 9. Is i(a) prime?
False
Let s = -1 - -7. Is 78/4 - 3/s a composite number?
False
Let m(p) be the third derivative of -p**4/8 - 11*p**3/6 - p**2. Suppose 2*u + 5*a = -20, 0 = -a - a. Is m(u) a composite number?
False
Let g be (3/(-4))/((-2)/48). Let j be g/(-24) + 951/4. Let z = -158 + j. Is z a composite number?
False
Let k = 1885 + 1620. Is k prime?
False
Let n(u) = -15*u + 12. Let p be n(8). Let h be ((-3)/6)/(2/p). Suppose -5*r + 2*t + 144 + h = 0, 4*r = t + 135. Is r composite?
True
Suppose 0*i - 9 = -3*i. Suppose -5*u + i*m = -214 - 9, 0 = -u - m + 51. Is u a composite number?
False
Let h be (-825)/(-9) - (-2)/(-3). Suppose 4*m = -s + h, -s = -4*m + 42 + 51. Is m prime?
True
Let x = 1675 - 977. Is x a composite number?
True
Suppose -5*z = 5*j - 135, 5*j = -4*z + 2*j + 112. Is z a prime number?
True
Is 15705/35 + 6/21 prime?
True
Is (53/(-2))/((-16)/32) a composite number?
False
Let w = -4 + 7. Suppose -v - 42 = -3*v. Suppose -3*y = -p + w*p - v, -3 = -3*y. Is p prime?
False
Suppose -5 = m - 5*k + 5, -4*m + 3*k + 11 = 0. Suppose -m*y + 3*y + 76 = 0. Suppose -z + y = h, -3*h + 3*z = -4*h + 40.