number?
True
Let q be ((-498)/(-27))/2 - (-12)/(-54). Is (q + -14 + -138)/(1 - 2) a prime number?
False
Suppose 9*q + 55146 + 24171 = 0. Let i = q + 22926. Is i prime?
False
Let d be -2*(1 - 9/6). Let y(g) = 10801*g**2 - 7*g + 7. Let u be y(d). Suppose -10*l - u = -17*l. Is l a prime number?
True
Let b be 58/(-7) + (-2)/(-7). Let f(y) = -79 + 32 + 36 - 107*y - 814*y + 174*y. Is f(b) prime?
False
Let l = 899 + -893. Let m(b) be the third derivative of 101*b**4/12 - 23*b**3/6 + 4*b**2. Is m(l) a prime number?
False
Let v(c) = 2*c**2 + 28*c - 6. Let r be v(-14). Is ((-58742)/r - -2) + (-56)/(-84) a composite number?
True
Suppose -12*k - 91*k + 30*k + 4348829 = 0. Is k a prime number?
False
Let d(w) = -11544*w + 265. Is d(-25) a composite number?
True
Let z be 2 + 0 - -10*(-2)/5. Is z/(-1)*11906/4 a composite number?
False
Suppose 4*i + 196 - 192 = 0, 4*l - 1963563 = -i. Is l composite?
False
Let c = 23009 - 3174. Is c a prime number?
False
Is (-3127)/4*-17 - 185/(-148) a composite number?
False
Suppose -3*n = 4*d - 13746, 1374 = 3*d - 3*n - 8925. Suppose -8*h = -3*h - d. Is h a composite number?
True
Let o(b) = -1372*b + 455. Is o(-53) prime?
False
Let x(u) = 2*u - 20. Let j be x(11). Let y be (-228)/(-10) - (18/10 - j). Suppose y*h = 28*h - 5855. Is h a prime number?
True
Let o(d) = d**2 - 6*d - 7. Suppose -2*y - 7 = -3*y. Let w be o(y). Is 91 - w/(6 + -2) prime?
False
Suppose -34 = -8*m + 46. Suppose 8*o + 3266 = m*o. Is o a prime number?
False
Let y be 3 - (2 - 0) - 7916/2. Is y/(1/1)*(-176)/264 prime?
False
Let d(l) = 232*l**2 - 119*l - 152. Is d(-27) a prime number?
False
Let w be (9 + 1)/(2/4). Suppose -3*k = 7*k - w. Suppose 0 = -2*b + k*l + 4316, 0*l - l = 5. Is b composite?
False
Let h(o) = 5*o**2 - 14*o - 14. Suppose -22 = 2*c - 2*p, -c + 3*p - 12 = 3. Is h(c) prime?
False
Let z(m) = 4*m**3 - 13*m**2 - 198*m - 89. Is z(48) a composite number?
False
Let a = 358 + -358. Is 56308/224 + (-3)/8 + a a composite number?
False
Suppose 0 = 283*f - 289*f + 376098. Is f a composite number?
False
Let p(q) = q**3 + 12*q**2 - 28*q + 158. Is p(29) a prime number?
True
Suppose 704*l - 301*l - 61199177 = 0. Is l a prime number?
False
Let g(b) be the second derivative of -b**5/20 - 7*b**4/12 + 5*b**3/6 + 17*b**2/2 + 613*b. Let a = -47 + 33. Is g(a) composite?
False
Suppose -13*o - 148732 = -89*o. Is o composite?
True
Is (-5)/((-165)/154)*(551940/8)/5 prime?
False
Is ((-6)/(-10))/1 - (-15237036)/90 composite?
True
Suppose -3*h - 3 = 0, 5808 = -51*o + 52*o + 4*h. Let x = o - 327. Is x a composite number?
True
Let u(o) = -2*o**2 + 7*o + 7. Let d be u(4). Let b(z) = 2262*z + 17. Is b(d) a composite number?
False
Let g(y) = 2779*y - 8. Let w be -1*(-21)/28*4. Is g(w) prime?
True
Let h(c) = -5*c + 56. Let o be h(12). Let s(w) = -569*w + 12. Let k be s(o). Suppose 7903 = 5*q + k. Is q composite?
False
Suppose 312141 + 126595 = 17*a. Suppose -2*m + 22026 = -a. Is m a composite number?
False
Is 132857/2 - ((-25)/(-20))/(11/(-22)) a composite number?
False
Let c(q) = 792*q - 10. Let t be c(-6). Let h = t - -9269. Is h composite?
False
Let k(f) be the second derivative of 381*f**5/20 + f**4/12 - f**3/3 - f**2/2 - 3*f. Let n be k(2). Let r = n - 2082. Is r a prime number?
False
Is (21/(-9))/(7/(-3462801)) a prime number?
True
Suppose l = -l + 2. Is 6/6*l*769 a composite number?
False
Let a = 220 + -106. Let l = a - 43. Let p = -16 + l. Is p a prime number?
False
Suppose 1518*v = 1362*v + 148844436. Is v composite?
False
Suppose 28*w + 4*i + 188365 = 31*w, 0 = 3*w + i - 188330. Is w composite?
True
Let f(g) = -32*g**3 - g**2 - 5*g - 1. Let h be f(-2). Suppose 2*y = -4*n + 2680, 1595 = y + 4*n + h. Is y prime?
False
Let t(j) = -4*j**2 - 2*j - 2. Let r(v) = v**2 + v + 1. Let h(a) = -3*r(a) - t(a). Let k(i) = 2*i**2 - 3*i + 8. Let y(x) = 5*h(x) - k(x). Is y(8) composite?
False
Suppose -6*x + 2092 = 316. Suppose -c + x = -139. Suppose -3*m = -1098 + c. Is m a composite number?
True
Let g(c) = 1746*c - 6 - 299*c + 746*c. Let w be g(3). Suppose 10*y = 13*y - w. Is y prime?
False
Let b = 538642 + -306075. Is b prime?
True
Let l(n) be the third derivative of 269*n**6/120 + n**5/60 - n**3/6 - 3*n**2 + 97. Let f(y) = -y**3 + y**2 + 2*y + 1. Let i be f(2). Is l(i) a prime number?
True
Suppose 4238 = 2*y - 6*h + 2*h, 0 = -5*y - 5*h + 10610. Is (-30)/(-9)*y/14 prime?
False
Suppose -3*c + 32231 = -198358. Is c a prime number?
False
Let j(b) = 254*b + 81 - 60 - 48. Let f be j(15). Let y = f - 2534. Is y a composite number?
False
Suppose -g + 11 + 2 = 3*o, 0 = -2*o - 2*g + 2. Is o/8 + 28529/4 composite?
True
Suppose -2*h + 14 = -2*b, -b = 2*b. Let n(u) = -6*u**2 - 25*u + 20. Let f(r) = -4*r**2 - 17*r + 13. Let k(x) = h*f(x) - 5*n(x). Is k(7) prime?
True
Suppose -8*y = -4*y - 3540. Let f = 3106 - -8. Let n = f - y. Is n a composite number?
True
Suppose -1789576 = -72*f + 12*f + 813884. Is f a composite number?
False
Let d be 25/10 + -3 + 110/4. Suppose -h - d = 8*h. Is 8*h/(-6) + 145 a prime number?
True
Let f = 42417 + -17416. Is f a composite number?
True
Let f = -178 - -174. Is (2/(24/(-8166)))/(2/f) prime?
True
Let a(b) = -781*b**3 - 9*b**2 + 9*b + 10. Is a(-4) a prime number?
False
Suppose -3*y = 5*v - 12796, 4*y + 3506 = -2*v + 20572. Is y a composite number?
True
Let q be 2/10 - (-5220)/(-100). Let v be ((-6992)/(-10))/((-2)/80). Is 2/13 + v/q a composite number?
True
Is -1*90295/(-15)*(-6)/(-2) composite?
False
Is (-4)/(-6) - (-1406638854)/918 composite?
False
Let l = 143 + -106. Suppose -3*m + b = -38697, l*m - 36*m - 12889 = -3*b. Is m composite?
True
Let f be ((-534)/(-45) - 12) + 852902/15. Suppose f = 244*k - 240*k. Is k prime?
False
Let k = -1960 - -3624. Suppose d + 19*g - k = 14*g, -4*d + 5*g + 6531 = 0. Is d a prime number?
False
Suppose 0 = -0*m - 8*m + 19752. Let t = -1382 + m. Is t composite?
False
Let q(m) = -111*m**2 - 11*m - 11. Let u(k) = -114*k**2 - 12*k - 10. Let r(j) = -3*q(j) + 2*u(j). Is r(6) a prime number?
True
Let u = -27108 + 54027. Suppose u + 120704 = 7*b. Is b prime?
True
Suppose a - 9 = -10, 5*a = -4*h + 89231. Is h a composite number?
True
Let g = 3 - 4. Let a(c) = c**2 + c. Let p(i) = -i**3 - 6*i**2 - i - 5. Let h(y) = g*p(y) + 5*a(y). Is h(-9) prime?
True
Is (-7379816)/(-10) + (-3058)/(-695) + (0 - 5) a prime number?
True
Suppose 0 = -4*h + 462*c - 464*c + 132622, 2*c = 5*h - 165791. Is h a prime number?
False
Suppose -2*h = -4*x + 1767106, -244*x + 1767078 = -240*x + 2*h. Is x a prime number?
False
Suppose 5*r + 6477 + 2183 = -s, s - 6937 = 4*r. Is ((1 - 2)*-1*r)/(-1) a prime number?
True
Suppose -a + 4*g + 283078 = a, 2*a - 2*g = 283066. Is a a prime number?
False
Let o(x) = -x**3 + x**2 + 2*x. Let d(r) = r**3 - 2*r**2 - 2*r + 1. Let f(p) = -3*d(p) - 4*o(p). Let t be f(-2). Is 6711/9 + t*4/(-6) composite?
True
Suppose -48267 = 87*j - 78*j. Let g = 31610 - j. Is g composite?
False
Suppose -s - 11 + 15 = 0. Let n(c) = -78*c + 21. Let k(y) = -77*y + 21. Let h(r) = s*k(r) - 5*n(r). Is h(16) a prime number?
True
Let g(q) be the third derivative of 49*q**5/12 - 4*q**4/3 - 3*q**3/2 - 46*q**2. Let i be g(-6). Is (-23)/5 + 5 + i/5 prime?
True
Is -3*(4/(-8) - -1)*(-184214)/3 prime?
True
Is 3/(((-72)/184312)/(-3)) prime?
True
Let a(m) = -8347*m + 5864. Is a(-47) prime?
False
Let u = -418538 + 757147. Is u prime?
True
Let z(c) = 1055*c - 10. Let l be -4 - (-3)/(-6)*-10. Let f be (-3)/l*-2*(-4)/(-8). Is z(f) prime?
False
Let j(r) = 5*r + 15. Let d(t) = -t - 1. Let f(g) = -3*d(g) - j(g). Let w be f(-6). Suppose w*k - 1175 = -q - 2*k, -4*q + 4676 = -4*k. Is q composite?
False
Let p(z) = -2600*z - 1309. Is p(-24) prime?
True
Let b(x) be the third derivative of x**6/120 + x**5/5 + 11*x**4/24 + 5*x**3/3 - 13*x**2. Let m be b(-11). Is (-34635)/m*(-2)/3 composite?
False
Let q(x) = 6*x**2 - 3*x - 5. Let s be q(13). Let h = s - 369. Let i = h + 1554. Is i prime?
False
Suppose 4*m = 29*l - 26*l + 138881, -4*m + 5*l = -138879. Is m prime?
True
Suppose 2*v - 117282 = 13922. Is v a composite number?
True
Suppose 129*g - 1237 = -463. Let d = 8 - 3. Is -586*(d - 2 - 21/g) prime?
True
Let b = -120032 + 214405. Is b prime?
False
Let x = 4667385 - 3195562. Is x a prime number?
False
Suppose y = -94543 + 233094. Is y prime?
False
Let o(n) = -20*n**3 + n**2 - 7*n - 18. 