e
Suppose v = -2*g + 348977, -42*g - 4*v - 174457 = -43*g. Is g a composite number?
True
Suppose 2*h + 2*l - 472428 = 0, 42*l + 10 = 44*l. Is h a prime number?
True
Let r be ((-4637)/3)/(((-35)/(-45))/7). Let n = r - -23794. Is n a prime number?
True
Let z(s) = s**2. Let m(w) = 11*w**2 - 30*w + 36. Let i(h) = m(h) - 2*z(h). Is i(25) composite?
True
Suppose 11*b - 1000 = -14*b. Suppose b*n - 19*n = 19047. Is n prime?
True
Let x = 154 + -154. Suppose -47*w + 61*w - 49826 = x. Is w composite?
False
Suppose 11*u + 950287 = -1215877. Is 5/3 + u/(-39) a prime number?
True
Suppose 2*b - 4*j = 129494, 2*j = -b + 65909 - 1154. Is b a prime number?
False
Let q(g) be the third derivative of 329*g**4/24 + 115*g**3/6 - 5*g**2 - 2. Is q(28) prime?
False
Let k(l) = -l**3 + 26*l**2 - 75*l + 37. Let r(n) = -n**3 + 6*n**2 + n + 15. Let j be r(6). Is k(j) composite?
True
Suppose -4*y + 2*c + 24840 + 201928 = 0, 4 = -c. Suppose -2*n + y = 8*n. Is n prime?
True
Let v be 45/20*4 - 4. Suppose v*k + 4*z = 28131, 4*z + 0*z + 5607 = k. Is k composite?
False
Suppose 12*v = 1537556 + 54376. Is v a prime number?
True
Suppose -56*c + 51*c + 1246347 = 2*k, 3*k - 1869510 = 3*c. Is k a prime number?
True
Let x = 648 + -350. Suppose 2*n + 2*b - 3382 = 0, b + 4 = -0. Let u = n - x. Is u prime?
False
Let x(s) be the third derivative of 109*s**4/12 + 125*s**3/6 + 2*s**2 + 91*s. Is x(51) a composite number?
False
Suppose -318083 = -5*c + 44*p - 42*p, 5*p = -2*c + 127239. Is c prime?
True
Let c(f) = 32068*f + 875. Is c(6) prime?
True
Suppose 3*p - 13516 = -0*o + 4*o, -5*o - 4*p - 16926 = 0. Let w = 1820 + -3553. Let j = w - o. Is j a prime number?
False
Let l = 715 - 722. Is ((-55)/(-11) + l)*11279/(-2) a prime number?
True
Suppose 3 = 9*x - 15. Suppose -2*f + x*b + 20975 = f, -3*f + b = -20980. Is f a composite number?
True
Let b = 6324 + -1105. Is b a prime number?
False
Let x = -50 - -52. Suppose x*f = 3*c + 20 - 0, 0 = -2*f - 4*c + 34. Is (f + -12)*1151*5 a composite number?
True
Let w(y) = 1838*y**3 + 18*y**2 - 78*y + 31. Is w(5) composite?
False
Is (-24)/(-9) + 4/(144/14267172) a prime number?
False
Is 88302 - (-14 + 3) - 0 prime?
False
Let z = -2932 + 4117. Let f = -742 + z. Is f prime?
True
Suppose -5*h = 5*i + 5, -3*h + 2*h = 3*i - 7. Suppose -4*d + i*q = -29740, 37175 = d + 4*d - 2*q. Is d prime?
False
Let i = 1962675 - 1087282. Is i a prime number?
True
Let n = 8 - 5. Suppose a - 5444 = -n*a. Is a a prime number?
True
Let w(v) = v**2 + 2*v. Let t be w(0). Suppose t = -4*y + 5*q + 18, 0*q + 6 = -2*y - 5*q. Suppose y*l - 2*u + 7*u - 169 = 0, -4*l = -4*u - 324. Is l composite?
True
Suppose -5*o + 0*o = -15. Let d be 0 + 2/o - (-7820)/15. Let u = -289 + d. Is u composite?
False
Let a be 7556/(2 - (-1)/(3/(-3))). Let g = a - 2608. Suppose v = -3*v + g. Is v a composite number?
False
Let v(t) = t**2 - 10*t + 13. Let i be 1/5 + (-238)/(-35). Let k be v(i). Is (-1578)/k*-6*(-14)/21 prime?
False
Let p(f) = f**3 + 4*f**2 - 9*f + 22. Let v be p(-6). Suppose -5143 = -h + 6*b - v*b, 0 = 2*b - 10. Is h prime?
True
Let t = -50 - -38. Let l be (-1)/(-6) - (-26)/t. Is (1 + l/6)*5679/6 a prime number?
True
Let t be 64/(-2)*25/50. Let g = t - -16. Suppose -4*q + 13392 + 10124 = g. Is q a prime number?
True
Let h be 2 + -6 - 0/1. Suppose -4*z + 3*u + 5 = 0, -u = -z + 8 - 7. Is z*((-705)/(-10) + h) a composite number?
True
Is ((-1992)/5976)/((-6)/53518*(-2)/(-234)) composite?
True
Suppose 131*q - 136*q + 77840 = 0. Suppose 6*x - 34946 = q. Is x composite?
False
Let u = -138 - -56. Let h = 82 + u. Suppose 0 = -c - 5, h*c = -3*j - 4*c + 13. Is j composite?
False
Let x(n) = -49 - 22*n**3 - 2*n + 6*n**2 + 18*n**2 + 10*n**2 + 21*n**3. Is x(30) composite?
False
Suppose q = 2*u - 7, 2*q = 3*u - 5 - 6. Let z(j) = j**2 - j - 4. Let s be z(u). Suppose -s*y + 613 = -y. Is y a prime number?
True
Let i = -136142 - -206071. Is i a prime number?
True
Suppose 0 = -2*s - 5*d - 1 + 23, -d = 2*s - 22. Let l = -8 + s. Suppose 3487 = l*i - 0*j + j, -j - 2 = 0. Is i composite?
False
Let c = -85 - -88. Suppose 23376 = 3*b + u, 5*b = -c*u + 31585 + 7371. Is b prime?
True
Let y(l) = -40609*l + 2446. Is y(-9) a prime number?
False
Suppose -5*y + 5195 = 4*g, 0 = 5*y - y + 5*g - 4147. Let r be (12 + -12)*(-1)/(-2). Suppose -f = -r*f - y. Is f composite?
True
Let w = -39 + 42. Let k = 2 - w. Is (-3)/((-6)/k)*826/(-7) a prime number?
True
Let v(u) = -10806*u - 125. Is v(-14) a prime number?
False
Let o(u) = u**3 + u - 1. Let d = 16 - 16. Let x be o(d). Is -299*(-1)/(-1)*x prime?
False
Suppose 0 = -8*h - 11001 + 106273. Suppose -5982 = -n - 4*g + h, -2*g - 53701 = -3*n. Is n a prime number?
False
Let c(u) be the third derivative of 7*u**5/60 - 7*u**4/12 + 5*u**3/3 + u**2 - 15. Is c(5) a composite number?
True
Let b(x) = 2*x**3 + 20*x**2 + 11*x + 31. Let g be b(-9). Is -1*(-3 + g*-85) a composite number?
False
Let h be 2/2*15*(-17)/(-51). Suppose -7054 = -h*y + 26881. Is y a composite number?
True
Is ((-10)/6)/((2664/(-5409396))/74) prime?
False
Let u be 66/(-165) + 1*(-172)/(-5). Let j = u + -32. Is (-1952 - j)*3/(-6) composite?
False
Is (-7 - (-337780)/(-9)*(-75)/(-125))*-3 prime?
True
Suppose c + 2*h - 12 = 3*h, h = 1. Let s(i) = -i**2 + 16*i - 8. Let p(a) = -a**2 + 15*a - 9. Let k(y) = -3*p(y) + 2*s(y). Is k(c) a prime number?
True
Let g(h) = -329*h - 3. Let o(a) = 1. Let n(d) = g(d) + 3*o(d). Let r be n(-4). Suppose -2*s - t + 658 = -6*t, 4*s - r = -2*t. Is s composite?
True
Suppose 2*v + 54512 = 2*p + 6*v, -136266 = -5*p - 3*v. Let x(i) = i**3 - 8*i**2 + 13*i - 12. Let r be x(4). Is -1*(p/r - 1/(-2)) composite?
True
Let q(g) = -5*g - 27. Let d be q(-6). Let l be (d - -2 - -1) + 9 + -8. Suppose l*r - 517 = 92. Is r a prime number?
False
Suppose -4*d - 2*i + 3*i + 8391837 = 0, -i = 4*d - 8391851. Is d composite?
True
Suppose 11*l - 84 = 5*l. Let d(u) = -22*u**2 - 24*u + 4*u**2 - l - 16*u - u**3. Is d(-18) composite?
True
Let c = 124 - 145. Is (-3)/(-2)*(-47278)/c a prime number?
False
Let k be ((-15)/((-150)/(-42020)))/((-2)/10). Suppose -k = -20*h + 26810. Is h prime?
False
Let r = 1021676 + -48049. Is r a composite number?
True
Let o(q) = -16*q - 69. Let t be ((-66)/(-10) - 3)*(-200)/(-3). Suppose -3*l + 15*l + t = 0. Is o(l) composite?
False
Let r be 2/(-3) - 68/12*-1. Suppose -r*l - 5*s - 2570 = 0, 0 = -l + 4*s - 2*s - 511. Let m = l + 1630. Is m a prime number?
True
Let c(n) = 15 + 9*n - 66*n**2 + 32*n**2 + 33*n**2. Let j be c(10). Suppose j*a + 3*q = 4210, 3 = q - 2. Is a a prime number?
True
Suppose 0 = -3*x + 9*x + 48. Let z(h) = 17*h**3 + 3*h**2 - 13*h - 9. Let f(w) = -8*w**3 - 2*w**2 + 7*w + 5. Let t(d) = 13*f(d) + 6*z(d). Is t(x) prime?
True
Let s(u) = 78321*u - 332. Is s(5) prime?
True
Let w be (-2)/12 - 2805/(-90). Suppose -49*k + w = -48*k. Is k a composite number?
False
Is (-162479151)/(-311) - (0 + -14) a composite number?
True
Let j(k) = k**3 + 9*k**2 + 7*k + 2. Let l be j(-8). Let z = l + -5. Suppose 0 = z*i - 5, 2*c + i - 1879 = 4*i. Is c composite?
False
Suppose -2*s = -4*r - 12012, -3*s + 0*r + 2*r + 18030 = 0. Let o = 9372 - s. Let z = -1633 + o. Is z composite?
True
Suppose 2*p - b - 205 = 0, -4*p = -2*b + b - 405. Is 5/(p/202472) - (-18)/(-30) a composite number?
True
Let g(k) = 4920*k + 347. Is g(12) a prime number?
True
Suppose -4*r + 14*r - 14*r = 0. Suppose 0 = -r*n - 3*n + 9. Suppose -n*t = -1126 + 211. Is t a prime number?
False
Is (-32 - (-429)/13)/((-1)/(-366603) - 0) composite?
True
Let f = -5745 - -9547. Is f a prime number?
False
Let w(x) = 35*x**2 - 25*x - 118. Let n(t) = 41*t**2 - 26*t - 117. Let f(z) = -5*n(z) + 6*w(z). Is f(-16) a prime number?
False
Suppose 0 = 4*o - 6*g - 591412, -o - 692*g = -691*g - 147833. Is o a prime number?
False
Is 1352/26364 - 6845822/(-78) composite?
False
Suppose 4*x - 78336 - 76315 = -39959. Is x composite?
True
Let v be 30/(-25)*45/18. Let w(f) = f + 4. Let t be w(5). Is v/t + (-930)/(-9) composite?
False
Let s = -1187364 - -2150117. Is s a prime number?
False
Suppose -2*x + 7 = 3. Suppose -5*l + 14 = x*z, 0*l - 3*l - 4*z = 0. Suppose 10981 = b + 3*p, -5*p + 60738 = l*b + 16842. Is b prime?
False
Let o = -81 - -88. Suppose -6*c - o*c = -179777. Is c composite?
False
Suppose -45701 - 13735 = -12*h. Suppose -s - 3960 = -4*k + 3*s, -5*k = -2*s - h.