- 52263 = -m. Is m a prime number?
False
Let y(w) = 993*w**2 + 511*w - 9. Is y(-10) a composite number?
True
Let w(u) be the second derivative of u**4/3 + 19*u**3/3 + 43*u**2/2 + 329*u. Is w(30) a prime number?
True
Suppose 0 = -5*y - 10, -5*o + 5*y - 92553 = -322278. Is o composite?
False
Suppose 138*x - 145*x = -56. Let g(n) = 156*n - 35. Is g(x) prime?
True
Let m be 28044 + 5 + (-2)/(-1). Let u = m - 15122. Is u prime?
False
Let n be (-8)/(-44) + (-722)/(-22). Let w = n - 32. Let u(g) = 1259*g**3 - g**2 + 2*g - 1. Is u(w) a composite number?
False
Suppose 213340 + 301796 = 2*g + 5*l, 772683 = 3*g - 3*l. Is g a composite number?
True
Suppose 0 = d + o - 10770, 0 = 4*d - 5*o + 3*o - 43080. Suppose -8*u + d = -2*u. Is u a prime number?
False
Let h = -3614 - -5935. Is h a composite number?
True
Let t be (-2)/(-2 + 1) - (-7156 - 4). Let b = 19550 + -8697. Suppose 0 = -15*s + b + t. Is s prime?
True
Suppose g - 8 + 16 = 0. Is (-66795)/(-21) - g/28 a composite number?
False
Suppose 229 = 65*h - 60 - 101. Let g = 3697 - -975. Is g/10 + h/(-30) prime?
True
Is (-7002231)/(-21) + (18/42 - 0) + 7 a prime number?
False
Suppose 5 = -5*v, w + 3*v + 2 = 5. Suppose w*p + 199 = 7*p. Is p a prime number?
True
Suppose 0 = 5*y + 2*s - 142183, -64*s + 113749 = 4*y - 65*s. Is y a composite number?
True
Suppose 2*i = -2*i. Suppose -y - 6 - 3 = -2*j, i = -2*y - 6. Let x(l) = 28*l**3 + 2*l**2 + 9*l - 7. Is x(j) prime?
False
Let u(p) = -6*p**3 - p**2 + p. Let f(h) = 6*h**3 + 2*h**2 - h + 1. Let b(m) = 3*f(m) + 2*u(m). Let j be b(4). Let q = j - 70. Is q a composite number?
True
Let g(t) = 50*t**3 - 31*t**2 - 87*t + 837. Is g(19) prime?
True
Let m be 3/(-3) + 5 + -2. Let g(f) = 196*f**2 + 3*f - 3. Is g(m) a composite number?
False
Suppose -9*s = -14*s + 420. Suppose s*r - 90*r = -6234. Is r composite?
False
Let v be 0 + 10 - (11 - 6). Suppose v*r + 3*j - 6 = 0, 0 = 5*r - r + 4*j - 8. Suppose 9*p - 4*o - 6963 = 6*p, 2*o = r. Is p a prime number?
False
Let v(t) = 1293*t + 29. Let n(r) = -1299*r - 29. Let l(w) = 4*n(w) + 5*v(w). Is l(2) a composite number?
True
Suppose 7*g + 5*g + 36 = 0. Let n(p) = 518*p**2 + 6*p + 7. Let j be n(g). Let f = j + -3014. Is f a prime number?
True
Let n(s) = 23*s**2 - 9*s - 31. Suppose 2*w = -k - 9, 5*k = w + 2*w - 97. Is n(k) composite?
True
Suppose 3*k - 12 = 0, 4*i + 8 = 3*k + 4. Suppose 2*m - 21 = -2*x - 5, 4*x = -5*m + 36. Suppose -5*c + i*c + x*u + 11491 = 0, 2*u + 19161 = 5*c. Is c prime?
True
Suppose 2*i = 2*m + 140316, -5*i = 3*m - 222638 - 128160. Is i composite?
True
Suppose 0 = 5*f - 213 + 63. Suppose -24*u - 42 = -f*u. Suppose -4203 = -2*w - u*w. Is w prime?
True
Is -5*((-6)/(-54) + 1666336/(-360)) a composite number?
False
Suppose 229*o - 437247663 = -151657385 + 410471481. Is o composite?
False
Suppose 10 = 2*o + 4*u - 2*u, -o + u + 9 = 0. Suppose o*p - 30061 = -10762. Is p a composite number?
True
Let h = -28 + 20. Is (-19476)/(-16) + 2/h a composite number?
False
Let a(c) be the second derivative of -1399*c**5/10 - c**4/6 - c**3/6 + c**2/2 - 30*c. Let r be a(-1). Let y = r + -1539. Is y a prime number?
True
Let o(l) = 63*l**3 - 9*l**2 + 45*l - 16. Is o(7) a composite number?
False
Let w be 16/(-4*7/(-70)). Suppose 6803 = w*k - 39*k. Is k a prime number?
True
Let j = 14 + -17. Is (-208)/(-312) + (-5860)/j composite?
True
Suppose -o = 3*b - 14, -2*b - 16 - 3 = -5*o. Suppose -5*w + 139 = b*l, -l - 5*w + 86 = l. Is l a composite number?
False
Suppose 53*o - 12*o - 113697533 = -96*o. Is o a prime number?
False
Let o(m) = -5*m**2 + 6*m + 4. Let c be o(-6). Let r(d) = -d**2 + 39. Let x be r(0). Let a = x - c. Is a composite?
False
Let y = -120041 - -219834. Is y a composite number?
False
Suppose 0 = 25*x + 4*x + 12*x - 1248409. Is x composite?
False
Let n(m) = -2*m**3 - 9*m**2 + 34*m + 35. Let t be n(-18). Suppose 2*h - t = z - 6*z, -z = -h + 4082. Is h a prime number?
False
Let c = -46 - -50. Suppose -8920 = -4*t - c*a, 3776 = 3*t - a - 2918. Is t a composite number?
True
Let b(n) = -n**2 + 23*n + 54. Let u be b(25). Suppose 3*j - 4617 = 2*g, 0 = u*j + j - 3*g - 7694. Let r = j + -1032. Is r composite?
True
Let w(c) = 2*c**2 + 14*c**2 + 14*c - 2*c**2 + 59 - 4*c**2. Is w(-20) a prime number?
True
Suppose -13*d = 5 + 60. Is 72/30 + -2 + (-10973)/d a composite number?
True
Suppose -4*l + 53459 = c, -57*c + 2*l = -61*c + 213906. Is c prime?
True
Let m(l) = -2*l**2 - 17*l - 6. Suppose r = 3*z + 7, 4*r + r = -2*z + 86. Let n be m(r). Let q = 1459 + n. Is q composite?
True
Let u(s) = 10 + 51*s - 15*s - 3 - 2. Is u(8) a prime number?
True
Let x(f) = 294*f - 15. Let q be x(2). Suppose 0 = -9*k + 12*k - q. Is k - (0 + 0)/(-5 + 4) composite?
False
Suppose -469*j + 1223288 = -425*j. Is j a prime number?
False
Is (-1*2)/(928/(-87237104)) a prime number?
True
Suppose -p + 6*p = -890. Let t = p + -3564. Is 6/10 - t/5 composite?
True
Let y(s) = 1338*s**2 + 127*s - 1593. Is y(14) a prime number?
True
Suppose 4*r = n - 12885, 5*n - 792*r = -791*r + 64558. Is n a composite number?
True
Suppose -3*u + s + 1461914 = 0, 221*u - 2436530 = 216*u + 3*s. Is u a prime number?
True
Let t = -12 - -12. Suppose t*h - 564 = -3*h. Is (11*h/4)/1 a prime number?
False
Let g(m) = 847*m**2 + 108*m - 1283. Is g(22) composite?
False
Let h = -1514 + -1239. Suppose -4*o = -9*o + 47220. Let i = o - h. Is i prime?
True
Suppose 3*p - 405439 = -45262. Is p prime?
False
Let i be 447502/16 - (30/(-6))/40. Is (-8)/2 + -10 + i composite?
True
Let s(z) = -2481*z + 4522. Is s(-49) a prime number?
False
Let q = -168788 - -266437. Is q composite?
False
Let u = -164658 + 613052. Is u prime?
False
Suppose -4*q - 24 + 20 = 4*b, -5 = b. Suppose 42647 = q*t - 5*f, 2*t + f = 6*t - 42651. Is t a composite number?
False
Let i be 1*(-2)/6 + 18/54. Suppose 4*t - d - 8729 = i, 0 = -0*t + 5*t - d - 10912. Is t a prime number?
False
Let i(n) = 82*n**2 + 2. Let y be (-3 - 0 - -2)*3. Let w be i(y). Suppose -5*m + 3403 = 3*x, -5*m - w = -4*x - 4171. Is m a prime number?
True
Suppose -421863 - 156799 = -14*o. Is o a composite number?
False
Let f(d) = d**3 + 11*d**2 + 2*d + 24. Let m be f(-11). Suppose m*q = -2*q + 8. Suppose q*p - 8*p = -126. Is p composite?
True
Let q(d) = 3889*d - 12. Let i be q(2). Suppose 17*t - i - 9387 = 0. Is t a composite number?
False
Suppose 12 = -2*t, -14*t + 13*t + 30542 = 4*m. Is m a prime number?
False
Suppose 3*f = 12, -3*c + 0*f - 4*f = -26005. Is c a composite number?
False
Suppose 3*w = -o + 2, -8 = -4*o + 2*w + w. Suppose 5*t = -25, o*t = i + t - 8875. Suppose 20*k - 10*k = i. Is k prime?
True
Let p(v) = 2*v**2 - 29*v - 16. Let l be p(15). Let y(x) = -36*x**2 + x + 2. Let a be y(l). Is ((-14)/a)/((-1)/(-65)) prime?
False
Suppose 13813 = 3*q - i - 17227, q = -4*i + 10338. Suppose -n + 15*n - q = 0. Is n prime?
True
Let g = -307316 - -588735. Is g a prime number?
True
Let k(m) = -622622*m + 399. Is k(-4) a composite number?
True
Suppose -z - 462942 = -5*v + 2*v, -3*v + 2*z = -462942. Let r = v + -80969. Is r composite?
True
Suppose 550505 = 7*a - 30481. Suppose 22*w + 31672 - a = 0. Is w a prime number?
True
Let g = 178 - 174. Suppose -5*b = -g*t - 1199, 0*b = 2*b + 3*t - 475. Is b prime?
True
Suppose 16 = -2*k + 6*k. Suppose -5*j + k*g = -55, -j + 2*g = 4*g + 3. Suppose -j*u = 8*u - 30675. Is u a prime number?
False
Let b be (24/(-5))/(9 - 42290/4700). Let r = b - -5549. Is r a prime number?
False
Suppose 35 = 3*v + 47. Is 373 - -3 - v - -1 a composite number?
True
Let l(z) be the third derivative of z**6/120 + z**5/30 - 25*z**4/24 - 11*z**3/6 - 130*z**2. Is l(6) prime?
True
Is 142764 + (36/42)/(24/280) prime?
False
Let i = -9 - -11. Let q = 172 - 8. Suppose -i*s + 170 + q = 0. Is s composite?
False
Let b(z) = 44*z**2 - 14*z - 25. Let h be 5*2/10*9. Let s be b(h). Suppose -5*f = 2*x - s, 0 = 4*f + x + 3*x - 2728. Is f prime?
True
Let l(i) = i**3 + i**2 - 2*i + 2. Suppose -2*d = -2*q - 6, -7*q + 2*q - 15 = 2*d. Let h be l(d). Is (-8 - -9)/(h/1294) a prime number?
True
Suppose -3*n + 45 = -4*a + 13, 0 = n - 2*a - 14. Suppose -416 = -n*y + 1044. Let g = y + 248. Is g a composite number?
False
Let t = 26684 + -9699. Suppose 4*d = -d + t. Is d prime?
False
Let l(t) = 168*t - 6. Let o be l(-4). Let u = o - -285. Let a = 658 + u. Is a composite?
True
Let z(j) = -j**