
Let h be ((-28)/(-35))/(42/40 + -1). Suppose 7*z + 2853 = h*z. Is z a prime number?
True
Let m be (-7 - (0 + -4)) + 3. Is 12 - 15 - (-3946 + m) prime?
True
Suppose 12 = -o + 4*o. Suppose 3*q - n = -o*n + 2775, -n = -1. Suppose 0 = -2*g + v - 4*v + 373, 0 = -5*g + v + q. Is g prime?
False
Suppose 57*p - 705641 = 38*p. Is p composite?
False
Suppose -d = 2*d + 108. Let t = d + 22. Is (-216)/t - (-9)/(-21) prime?
False
Is 136311/7*(-3)/(-9) a composite number?
False
Let p be (-6)/(-27) + (-280)/(-36). Is (674/3)/(p/12) a prime number?
True
Let y(x) = -116867*x - 221. Is y(-2) prime?
False
Suppose 141 = -5*s + 51. Let g(d) = -2*d**3 - 6*d**2 + 12*d + 29. Is g(s) a prime number?
True
Suppose 4*x - 3*i - 69 = 0, -2*x + 3*i + 13 = -26. Suppose 3*m = -4*a - 9, -5*a + 6*m - m = -x. Suppose y + 1 - 27 = a. Is y composite?
True
Suppose 2*h - 369 + 4681 = 2*w, -5 = -h. Is w prime?
True
Suppose 8*r = 6*r. Suppose r = -5*d - 7*q + 2*q + 4780, 0 = -2*d + 5*q + 1905. Suppose i - 6*i = -d. Is i a composite number?
False
Let t = 15 + -12. Let w be (-9)/(t*(-1)/(-3)). Is (-224)/(-6) - (-3)/w a prime number?
True
Let r(u) = -155*u - 704. Is r(-27) a composite number?
True
Let j(d) = 11*d**3 + 6*d**2 + 3*d + 5. Let r be j(-4). Let n = 1082 + r. Is n composite?
False
Let o(f) = -28*f**3 - 6*f**2 + 30*f + 193. Is o(-7) a composite number?
False
Let l = 13731 + -8907. Suppose 0*k = 4*k - 5*g - l, -3*k + 2*g = -3611. Is k prime?
True
Suppose 5*n = 2*r - 15, -5*r + 0*n + 24 = n. Suppose 0*d = -d + r. Suppose -3*b - z + 552 = 2*z, -d*z = 2*b - 365. Is b a composite number?
True
Suppose 20 = 4*i, -90 = -5*t - 0*t - i. Let y = 234 + t. Is y prime?
True
Suppose 0 = -3*m - u - u + 148, 4*m - 5*u = 182. Let i be (-2834)/(-8) + (-12)/m. Suppose 2*n - i = -4*n. Is n a composite number?
False
Let g(z) = -113*z**2 + 4*z - 1. Let h be g(-5). Let s = 4657 + h. Is s composite?
False
Let m(z) = 18*z**2 - 47*z - 134. Is m(25) a prime number?
True
Let t(b) = -13*b**2 - 5*b - 4. Let g be t(7). Let s = g - -1119. Is s composite?
False
Let q(h) be the second derivative of 7*h**4/12 + h**3 + 2*h**2 - 6*h. Is q(-5) a composite number?
False
Suppose -3*g + w + 5 = -2*g, -13 = -2*g - w. Let b be (3 - g) + (256 - -1). Is ((-3)/6 + 1)*b composite?
False
Suppose -251006 - 108771 = -11*x. Is x prime?
True
Let n(f) = -f**2 + 6*f - 1. Let m be n(5). Suppose l = -l + 2*z + 2520, 0 = -m*l + 5*z + 5039. Is l composite?
True
Suppose 3*n - 3*j + 45 = 0, 2*n - 3*n = 4*j - 10. Is 5/(n/151)*8/(-2) composite?
True
Let k be (4/(-3))/(4/(-6)). Suppose -222 = -a - k*a. Is a composite?
True
Suppose 2*k = 3*a - 2*a + 852, 4*k + 2*a = 1696. Let v = 140 + k. Is v composite?
True
Suppose -2*w = -u - 15, 5*w - 2*w + 38 = -4*u. Let c = u - -33. Is c composite?
True
Let q = -73970 - -112083. Is q a prime number?
True
Let u be 4230/((-4)/(-2)) + 0. Let f = 3642 - u. Is f composite?
True
Let g(h) = -1. Let t(i) = i - 8. Let r(z) = -5*g(z) + t(z). Let q be r(0). Is (45/q - 4)*-1 prime?
True
Let p(i) = -i**3 - 6*i**2 + 3*i + 17. Let u be p(-7). Is ((-30)/(-27))/5 + 108080/u a prime number?
False
Let n = 7 + -59. Let g = n + 206. Let t = g - 23. Is t a composite number?
False
Suppose -35 = 4*f + 5. Is 131*(-2 + f/(-2)) a composite number?
True
Suppose 2*l - g = 4148, -l - 8*g + 2067 = -5*g. Is l prime?
False
Let f be 3*107*(-3)/(-9). Suppose -4*g = -657 - f. Is g a prime number?
True
Let m(u) = 1213*u**3 - 2*u**2 + 5*u - 3. Is m(2) composite?
True
Let y = 137 + 1014. Is y a prime number?
True
Let y(a) = a**2 - a - 3. Let k be y(5). Suppose -b - z = 4 - 12, -b + 4*z - k = 0. Suppose i = -b*i + 4*s + 68, 2*i - 42 = -2*s. Is i composite?
False
Is (-6)/4*((-6131488)/(-33))/(-16) prime?
True
Let y(f) = -60*f**3 + 3*f**2 + f - 1. Suppose -3*q = -2 + 8. Is y(q) prime?
False
Is (0 + 1)/(5/58390) prime?
False
Let u = 82 + -73. Suppose -6*k = -u*k + 10257. Is k a composite number?
True
Let u(i) be the third derivative of -i**4/6 - 3*i**3/2 - 4*i**2. Let c(j) = -j - 2. Let r(t) = 18*c(t) - 4*u(t). Is r(-7) prime?
False
Let s = 646 + 4768. Is -5*2/((-20)/s) composite?
False
Let o(w) = w - 12. Let d be o(11). Is (1 + 211)*(d + (-33)/(-12)) a prime number?
False
Suppose 4*l - 3 = 4*h - 7, 3*l = h + 1. Suppose h*y - 1325 = -3*y. Is y a prime number?
False
Let b = -20 + 24. Let k = 19 - b. Is k a composite number?
True
Suppose -2*x - 2*d = -4878, 3*x - 5*x - 3*d + 4876 = 0. Is x composite?
False
Suppose -60*t = -41*t - 384883. Is t composite?
True
Let o(f) = 1677*f + 37. Is o(6) a composite number?
False
Is 1/(-1) - (49 + -3507) a composite number?
False
Suppose -440787 - 948048 = -63*f. Is f composite?
True
Let h = -1 + 0. Let l(s) = -s**2 - 11*s + 6. Let w be l(7). Is w/8*(0 + h) prime?
False
Let m(b) = -13*b**3 - 4*b**2 + 4*b - 7. Suppose -9*r - 60 = r. Is m(r) composite?
False
Suppose -21*d + 41991 = -9648. Is d a composite number?
False
Suppose 0*a + 2*a = 0. Suppose 5*h - 3*h - 474 = a. Suppose 5*k - 2*k - h = 0. Is k a composite number?
False
Let i = 3 - 31. Let n = 30 + i. Suppose -3*h + 598 = -5*r, -3*h + 593 = -n*r - 2*r. Is h prime?
True
Let b = 10465 + 17376. Is b a composite number?
True
Let r be 4 - 3/(6/(-4)). Suppose r*v - 1269 = -3*v. Is v a composite number?
True
Suppose i - 5*q - 2206 - 1131 = 0, 5*i + 5*q = 16625. Is i composite?
True
Let j(k) = 2*k**2 + 10*k - 9. Let u be j(-6). Suppose y - 3*s + 1224 = 4*y, 0 = -u*y + 2*s + 1229. Is y a prime number?
True
Suppose 3*o + 2*x - 44 = 0, -2*o + 7*x = 4*x - 38. Is (-4)/o + (-1781)/(-4) prime?
False
Let y(d) = 551*d + 12. Let n be y(-6). Let x = n + 6227. Is x a prime number?
False
Let o = 1 - -2. Suppose -o*p = -p. Is 230*(-2)/(-4) - p a prime number?
False
Let c(x) be the third derivative of 53*x**5/120 + x**3/2 + 6*x**2. Let b(i) be the first derivative of c(i). Is b(1) a composite number?
False
Let n be -4 + 1 + -4 + 4. Let h = 3 + n. Is (2 - -18 - h)/2 a prime number?
False
Let y = 567 - 238. Is y composite?
True
Let x be (10479/5)/(2/10). Suppose -30*y + 33*y - x = 0. Is y prime?
False
Let f(t) = t**2 + 21*t - 27. Is f(25) a composite number?
False
Let k(p) = -p**3 - 8*p**2 - 10*p + 22. Is k(-21) composite?
True
Is -32837*(-10)/50*5 prime?
False
Let i(z) = 219*z + 76. Is i(5) a composite number?
False
Let m(s) be the third derivative of -s**5/60 + 3*s**4/4 - 5*s**3/6 + 8*s**2. Let l be m(13). Suppose -6*z = -1398 + l. Is z prime?
True
Is -2 + -2 + -1 + 1054 prime?
True
Let o(u) = -7*u**2 + 4*u**3 - u - 8*u**3 - u + 4. Is o(-5) prime?
False
Let z(r) be the first derivative of 1/3*r**3 - 3 + 2*r**2 + 12*r. Is z(7) a prime number?
True
Suppose 4*c - 73562 = -5*x, -5*c = -c + x - 73570. Is c prime?
False
Let d be 762*(8/44 - (-111)/(-66)). Is (182/39)/(3*(-2)/d) composite?
True
Let w = -41 + 29. Let y(b) = -132*b - 41. Is y(w) a composite number?
False
Suppose 2*n - 4044 = -5*m, 0*n + 3*m + 6108 = 3*n. Suppose -3*b = -n + 703. Is b prime?
True
Suppose -132*z = -75*z - 180291. Is z prime?
True
Is (-2)/(-6) + ((-20416)/(-3))/8 a composite number?
True
Let h(l) = 719*l + 871. Is h(42) prime?
True
Let u = 14 + -21. Let a(d) be the second derivative of 5*d**4/12 + d**3 - d**2 + d. Is a(u) a composite number?
True
Suppose 4*k - 1378 = 4*b - 6*b, 0 = -4*k. Is b a prime number?
False
Let u = -108 - -111. Suppose 3*q + 2*q - 525 = 0. Suppose u*n - 72 = q. Is n a composite number?
False
Let u(s) = -2*s. Let y be u(-1). Suppose -1228 - 686 = y*x. Let b = 1612 + x. Is b a composite number?
True
Let t be (-8)/20 + 12/5. Let w(p) = -3*p**2 - 6*p**t + 10*p**2 + 11 - 15*p + 6. Is w(16) a prime number?
False
Suppose 0 = -7*g + 96857 - 26563. Is g prime?
False
Suppose -t - t - 6 = 0. Let h(j) = 53 + j**2 + 2*j**2 - j**2 + j - 51 - 2*j**3. Is h(t) composite?
False
Let d = -7131 + 10479. Let j = -1805 + d. Is j a composite number?
False
Let v(q) = q**2 - 15*q + 587. Is v(0) a composite number?
False
Is (-336532)/(-17) + (-20)/8*-2 a composite number?
False
Suppose v - 22 = -4. Let m(q) = -1 - 13*q - 9*q + v*q. Is m(-5) a composite number?
False
Let o(l) = -l**2 + 15*l - 5. Let v = -12 - -15. Suppose -v*h = -h - 2*b - 30, -5*h + 65 = 5*b. Is o(h) prime?
False
Let y be -66 + (2 + -1 - -2). Let l = y + 99. Is (-2)/3 + 1932/l a composite number?
False
Let f(j) = 32*j - 37. Is f(12) a compo