e
Suppose -l = -3*l - 2*b - 6, -l - 5*b = 23. Suppose 5*y = -l + 22. Suppose 206 = y*u - 6. Is u prime?
True
Let b = 2207 + -1018. Is b composite?
True
Suppose -235*y + 241*y - 3678 = 0. Is y a composite number?
False
Suppose -1102 = -x - 5*q, -x + 0*x + 1081 = -2*q. Is x composite?
False
Let j(b) = 9524*b + 15. Is j(2) a composite number?
True
Suppose 0 = -w + 2*v + 1515, -w + 2*v - 7*v + 1522 = 0. Is w prime?
False
Suppose 3*h - 59307 = 4*p, 5*h - 6*h + 3*p + 19769 = 0. Is h a composite number?
True
Let k(q) = 7*q + 3518. Let a(d) = 3*d + 1759. Let o(g) = 9*a(g) - 4*k(g). Is o(0) a composite number?
False
Let j = 142 - -2314. Suppose -13*i = -5*i - j. Is i a composite number?
False
Let s be (3 + 1)*1 + -1*2. Suppose -j + 3*h = -298 + 29, 1048 = 4*j + s*h. Is j composite?
False
Suppose -4*d - 6113 = -g, 11*g - d = 14*g - 18365. Is g prime?
True
Let w(f) = 4*f**3 - 8*f**2 + f + 17. Is w(8) prime?
False
Suppose -10*t = -30 - 40. Suppose -106 - 12795 = -t*r. Is r a composite number?
True
Let j(q) = 2*q - 10 + 0*q + 5*q**2 + 7. Suppose 4*d - 1 - 7 = 0. Is j(d) prime?
False
Let b be -3 - (2 - 10) - -4877. Suppose -4*l + b = 2*s + s, 3*l = -3*s + 3663. Is l composite?
True
Let p be -8*1*(-3)/3. Let u(t) = 12 - 8*t + t**3 - 2*t**2 + 4 + 1. Is u(p) composite?
False
Suppose 2*m = -4*u + 44, 11 = 3*m - 5*u - 0. Let t(x) = x**2 - 11*x - 11. Let b be t(m). Is -262*3/(-2)*b prime?
False
Let t = 1136 + 357. Suppose 3*w + 0*w = b - t, -3*w = -2*b + 2977. Let h = b + -801. Is h a prime number?
True
Let h(y) = 3304*y - 198. Is h(5) a composite number?
True
Let k be ((-2)/(-4))/((-7)/1708). Let r = -111 + k. Let p = -90 - r. Is p a composite number?
True
Let w(f) = 0*f**2 + 25*f**2 - 13 - f + 26. Is w(-6) prime?
True
Suppose -3*q + 24 = 24. Let o be (-2)/(-4) - (-9)/2. Suppose 2*g - g = -3, q = 5*z - o*g - 50. Is z composite?
False
Suppose 2*u = 2*i + 73766, -i - 184431 = 12*u - 17*u. Is u a composite number?
False
Suppose -4*w + 0*w - 5*t + 23 = 0, 5*t = -w + 17. Suppose 2*f - 20 = -w*f. Suppose 444 = 4*r + f*y, 5*r - 3*r + 3*y - 222 = 0. Is r prime?
False
Suppose 2*i + 4 = 5*f + i, 0 = i - 1. Let u(x) = 675*x - 2. Is u(f) prime?
True
Suppose -377*q = -385*q + 129992. Is q prime?
True
Let q be -16*(63/(-12) + 3). Suppose -q - 33 = j. Let y = j + 156. Is y prime?
False
Suppose 3*c - 3783 = -3*o, 2*c = 5*o + 3*c - 6289. Is o prime?
False
Let u be (0 - (3 + -10))*-60. Let f = 24 - u. Let w = 773 - f. Is w a composite number?
True
Suppose 0 = 4*k - 0*n + 5*n + 48, 5*n + 55 = -5*k. Let t(d) be the second derivative of -5*d**3/3 - d**2/2 + 2*d - 16. Is t(k) composite?
True
Let j = 27659 + -13146. Is j a prime number?
False
Let d be 2/3 + (-6042)/(-9). Let l = -449 + d. Is l a composite number?
False
Let n(j) = 130*j + 27. Is n(5) composite?
False
Let d = -123 - -234. Let v = 334 - d. Is v a prime number?
True
Let d be 1/(4 - 9/2). Let u(j) = 2*j**2 + j + 3. Let h be u(d). Let k(p) = 2*p**2 + 7. Is k(h) a composite number?
True
Is (-11)/(92/(-252) - (-14)/63) composite?
True
Let o(r) = -r - 1. Let w(j) = 89*j - 8. Let v(k) = 5*o(k) + w(k). Suppose 0 = 2*l - 3*l + 3*b + 15, 4*l + 2*b - 18 = 0. Is v(l) composite?
False
Let b(l) = 709*l**2 + 3*l - 1. Is b(2) composite?
True
Let w = 1179 + -676. Is w prime?
True
Let n(c) = -23*c**3 - 5*c**2 - 4*c - 14. Let g be n(-4). Let t = 527 + g. Is t a composite number?
True
Let u = 6 + -2. Suppose -u*d = -6*d + 392. Suppose 0*l - d = -4*l. Is l prime?
False
Let i = 96642 + -35699. Is i a composite number?
False
Let y be -47186*2/(-44) - 2/(-11). Suppose 3*n = -2*a + y, -5*a = 2*n - 0*a - 1441. Is n a prime number?
False
Let m be -4*(-4 - -4 - (-831)/6). Is m*((-6)/12)/((-1)/(-5)) prime?
False
Let r be 16/(-6)*66/(-8). Is (517/r)/((-1)/(-10)) a prime number?
False
Suppose -3*p + 5*p + 3*b = 1, -2*b = -p + 4. Suppose -3*j + 2*g = 1, -j + 4*g = -p*j + 9. Is (-84 - 2)*j/(-2) a prime number?
True
Let v = 52 + -47. Suppose -v*h = 11*h - 7696. Is h a prime number?
False
Let j be 36/(-24) + (-106)/(-4). Let o be j/10 + (-1)/(-2). Suppose 4*w = -o*p + 1757, -w = -p + 3*w + 591. Is p a prime number?
True
Let u = 2340 - 1649. Is u a composite number?
False
Is 3/42 + 243846/84 a composite number?
False
Suppose 171*q - 143*q - 2472484 = 0. Is q a composite number?
True
Let w = -4 - -6. Suppose 1 = 4*t - 3*k, 4 + 2 = -w*k. Is (t - 0)*(-371)/14 prime?
True
Suppose -3*o - 2*b = -1033 - 1484, 0 = -4*o - 4*b + 3356. Is o a prime number?
True
Is 3*2518/4*(-4)/(-6) a composite number?
False
Let q(o) = 27*o**2 - 3*o + 2. Let r be 0 + 7 - (12 - 11). Suppose 3 = -3*t + r*t. Is q(t) composite?
True
Suppose -11052 + 45881 = u + l, 0 = 2*u - 4*l - 69688. Is u prime?
False
Suppose -25*j = -u - 29*j + 24437, -j = -2*u + 48865. Is u a prime number?
False
Suppose -12*u + 44001 = -3*u. Is u composite?
False
Let s = 78 - 74. Suppose 4*f - 3908 = -4*k, -4*f + s*k + 3908 = -k. Is f prime?
True
Is 48/64*(-23416)/(-6) a prime number?
True
Let y(k) = 2194*k**2 + 46*k + 127. Is y(-3) composite?
True
Let j be (-49)/(-3) + (-8)/(-12). Let g = j + -18. Let u(y) = 142*y**2 + 1. Is u(g) a composite number?
True
Let d(g) = -15*g - 7. Let z(w) = 15*w + 6. Let b(x) = -4*d(x) - 3*z(x). Suppose 35 = k + 6*k. Is b(k) a composite number?
True
Is (-8)/(-68) - 3656925/(-255) a prime number?
True
Let n be 2 - (1 - 0) - -1. Suppose -n = 3*h - 4*h. Let f(w) = 33*w**2 + 3*w - 4. Is f(h) a prime number?
False
Suppose 4*w - 7607 = 28*d - 27*d, -2*d = w - 1895. Is w prime?
True
Let o(c) be the first derivative of c**5/10 - c**4/6 + c**3/2 - c**2 - 4*c + 5. Let k(p) be the first derivative of o(p). Is k(5) a composite number?
True
Suppose 0 = 14*z - 31561 - 16501. Is z a prime number?
True
Let s(q) = -q**2 + 17*q - 14. Let j be s(16). Is 257 + 5 + -3 - j prime?
True
Let h(o) = 1325*o**3 + 3*o - 13. Is h(3) prime?
True
Let x = 36 + -36. Let y(w) = w**3 + w**2 + 447. Let d be y(0). Suppose x = -2*u + 5*u - d. Is u a composite number?
False
Is 2*((-34550)/(-20) + 1) a prime number?
True
Suppose -3*x + r + 31487 = 3312, 3*x + 4*r - 28165 = 0. Is x a prime number?
True
Suppose -u + 2*q - 4136 = -3*q, 2*q = -2*u - 8224. Let i = -2265 - u. Is i composite?
True
Is (4/8)/(((-12)/22216)/(-3)) composite?
False
Suppose -3*r + 6 = -2*n, 0 = 2*r - 2 - 6. Is (-2 + n)/((-2)/(-404)) composite?
True
Let g = -44 + 45. Is ((-4)/g - -590) + 0 prime?
False
Suppose 3*u + 6066 = j - 373, 2*j - 3*u = 12872. Is j a prime number?
False
Suppose 3*a = 5*a - 18. Suppose -s - a + 18 = 0. Is (-4638)/(-18) + (-6)/s a prime number?
True
Let b = 10 + -10. Suppose -7 = 2*z + 2*p + 3, 3*z + p + 5 = b. Suppose 4*n - 4*t - 427 - 341 = z, -2*n + 383 = -t. Is n a prime number?
True
Let w be (-28 - -16)*((-9)/(-2) - -2). Let p = w + 82. Is p prime?
False
Suppose -4*w = -2*w. Let k(x) = -x**3 + 2*x**2 + 10*x - 412. Let g(b) = 2*b**3 - 5*b**2 - 23*b + 825. Let l(r) = -3*g(r) - 7*k(r). Is l(w) a composite number?
False
Suppose 3*h = -0*h + 18. Suppose 0 = -h*f + 536 - 218. Is f a prime number?
True
Suppose 0 - 12 = 4*t. Let f be (-4)/t + (-1090)/(-6). Suppose 3*g - f = 78. Is g composite?
True
Let z be 6/4*16/24. Suppose -5*k + 6 = z. Is (-1)/((-4)/2492*k) a composite number?
True
Let j be (-142)/2 + 3*1. Is 69*-1*j/12 a prime number?
False
Suppose 4*g - 3230 = -w, 2*w = -g - 0*g + 6453. Is w a composite number?
True
Let d = 22 - 17. Let u(s) = 2*s**3 - 6*s**2 + 5*s - 4. Is u(d) a composite number?
True
Let o = 3 - 3. Suppose o = -2*g + 3 + 47. Let b = g + 6. Is b prime?
True
Let u be (5 + -11)*(3745/(-3))/(-5). Let p = u + 4275. Is p a composite number?
False
Let g = -2034 - -26923. Is g prime?
True
Let w(b) = 53*b**2 + 8*b + 1. Suppose 3*l + 3*l + 48 = 0. Let n be w(l). Suppose 2*d = -1207 + n. Is d composite?
False
Let d = 22304 - 4402. Is d composite?
True
Suppose 2*b - 3 = b. Suppose 2*d = b*f - 22, 2*f + 6 - 4 = -2*d. Let h(m) = 4*m**2 + 7*m + 2. Is h(d) composite?
False
Let k be (-1 + -2)*13*476/(-12). Suppose l - k = 4*t, 3*t - 1108 - 418 = -l. Is l composite?
True
Suppose -25397 = -15*f - 2012. Is f prime?
True
Let l(q) = 13*q**3 - 8*q**2 + 14*q - 21. Is l(10) prime?
False
Suppose 5*r = 2*q - 0*r - 282, 2*q = 4*r + 278. Is q composite?
False
Let u(t) = -286*t - 95. Is u(-22) prime?
True
Let y(b) = 4*b**2 + 7*b + 11. Le