e
Let g(q) = q**3 - 23*q**2 - 25*q + 32. Let u be g(24). Suppose 15*w - u*w - 3703 = 0. Is w a composite number?
True
Let c(t) = 48*t**2 + 3*t + 2. Let g be c(-1). Let w = 51 - g. Suppose -258 = -w*o + 338. Is o prime?
True
Suppose 0 = 7*r - 11*r. Suppose r*u = -u. Let a(k) = -k**3 + k + 2933. Is a(u) prime?
False
Let r be (-7 - -2)*8/(-10). Suppose v + 3 = 3*v - 5*t, 6 = 2*v - 2*t. Is (v/(-12))/(r/(-11028)) composite?
False
Let p(j) = j**3 + 23*j**2 + 30*j - 57. Let f be p(-22). Suppose -30 = -0*k + 3*k. Let c = k - f. Is c prime?
True
Let l = 27 - 39. Let r be l*4/(80/(-15)). Suppose -r*z + 113 = -310. Is z a composite number?
False
Suppose -25*z + 29*z = -84. Let v = z - -23. Suppose s - 921 = -f + 5*s, 2*s - 1842 = -v*f. Is f a composite number?
True
Let n = 71 + -55. Suppose -19*c + n*c = -468. Suppose 3*q - 126 = c. Is q a composite number?
True
Suppose 0 = -10*n - 42 + 492. Let g(j) = 93*j + 136. Is g(n) a prime number?
False
Let a be -5*((-4)/40 - 0)*11826. Let q = a + -1730. Is q prime?
False
Let c = 123 - 120. Let s(j) = 722*j + 17. Let g be s(11). Suppose -5*f = -8*f - c*i + g, 4*f = 3*i + 10640. Is f composite?
False
Let h be -5 + (4 - -3 - 0). Suppose 2*r + h*f - 6872 = 0, 45*f - 40*f + 3418 = r. Is r a prime number?
True
Let a = 173531 + -60790. Is a prime?
True
Let j be (-96)/54 + 7/9 + -1. Let x be (5*6/60)/(j/(-68)). Suppose -13*i + x*i = 388. Is i composite?
False
Let c(x) = 9*x + 103. Let p be c(-10). Suppose -p*r = -12*r - 11437. Is r a composite number?
False
Let l = -254087 - -801093. Is l prime?
False
Suppose 133*j - 3411294 = -264115. Is j a composite number?
False
Let h = 303 + -279. Suppose h*x - 265621 + 55789 = 0. Is x a composite number?
True
Suppose -32216 + 4100 = -11*c. Suppose 13*d - 8393 + c = 0. Is d composite?
False
Suppose 6 = 3*y - 12. Suppose -m - 20 = d - y*d, -m - 8 = -d. Suppose -v = -a - 3*a + 39, d*a + 4*v - 53 = 0. Is a composite?
False
Let p = -83 + 87. Suppose -3*g + 41656 = 5*s, -s - 25011 = -4*s + p*g. Is s composite?
True
Suppose 24*l + 33*l - 1106434 = 43*l. Is l a composite number?
False
Let m(c) = 96*c**2 + 340*c - 237. Is m(-28) composite?
True
Suppose 18 = -10*u + 19*u. Suppose u*g - 7977 = 2441. Is g prime?
True
Let g be -1 - -729*((-15)/(-5) + 180). Is (g/(-104))/(-1*2/8) a composite number?
True
Suppose -5*a + k + 702 = 0, -5*a + 32 + 658 = 5*k. Suppose -2*f + 1122 = a. Is f composite?
False
Let f(g) = 602*g + 95. Let q(l) = l**3 - 6*l**2 - 15*l - 2. Let b be q(8). Is f(b) composite?
True
Suppose 2*r - 2501*l - 1116062 = -2498*l, 4*r - 2232132 = 4*l. Is r a prime number?
False
Let u = -22 + 18. Let h be 10/(-2) + 9986 + u. Suppose -h - 10141 = -6*b. Is b a composite number?
True
Is (-8056 - 1)*(-25)/(27 + -2) a prime number?
False
Let l(v) = 98*v**2 - 71*v + 983. Is l(22) prime?
True
Suppose 0 = -10*t + 33 + 87. Suppose -j - 2*j + t = 0, 2*m - 4 = 4*j. Let h(f) = 99*f + 19. Is h(m) prime?
True
Let c(q) = -22*q**2 - 48*q + 4. Let z(j) = -22*j**2 - 47*j + 4. Let o(p) = 2*c(p) - 3*z(p). Is o(-15) a prime number?
True
Let u = 1912717 + -1084286. Is u a composite number?
False
Suppose -6*u + 3*u - 5*i = 17, 3*u = -4*i - 13. Let z be (3/(-6)*0)/u. Suppose -5*s + 4*k = -1551, -s + 287 = 5*k - z*k. Is s composite?
False
Suppose 174867 = 40*c - 19*c. Is c composite?
True
Let d(y) = -48*y**3 - 6*y**2 + 2*y - 10. Let c be d(-10). Is 14/(140/c) + -2 composite?
True
Let f be 3 + 6/(-6) + (-13 - -1). Let l be -18*(19/285 + 4/f). Let r(s) = 20*s**3 + 9*s**2 - 8*s + 33. Is r(l) a prime number?
False
Suppose 3*m + 15*z = 16*z - 4, 4*z - 16 = 3*m. Suppose 2*u - 4*l - 38802 = m, 0 = 3*u - 7*u + 4*l + 77616. Is u composite?
True
Let a be 2*1 - (0 - (4 - 4)). Suppose -a*l + 711 = 7*l. Is l/((2 + -4)/(-26)) prime?
False
Suppose h = -5*g - 2*h + 30, -g + 3*h = -6. Is g/(-39) - 10847*(-6)/26 a prime number?
True
Let l(s) = 79505*s**2 + 13*s - 4. Let b(g) = 39752*g**2 + 6*g - 1. Let d(u) = 5*b(u) - 2*l(u). Is d(-1) prime?
True
Suppose 120 = 10*x + 80. Is (6 + -4)/(x/9942) a prime number?
False
Suppose -316982 = 2*c - 4788570. Suppose -30*u + 8*u = -c. Is u a prime number?
True
Is (2 + -1)*(15 + -21 - -17643) a prime number?
False
Let n(u) = 87676*u - 2407. Is n(2) composite?
True
Let u(b) be the third derivative of 89*b**7/840 + b**6/360 - b**5/40 + 7*b**4/24 + 4*b**2. Let y(w) be the second derivative of u(w). Is y(2) composite?
False
Is ((2/8)/(117/(-14782833)))/((-2)/8) composite?
False
Let f = -13644 - -67235. Is f composite?
False
Let o be (-2)/11 - (-3255)/1023. Is (334/o)/((-3)/(2115/(-10))) a composite number?
True
Let f(c) = -56*c + 10547. Is f(0) prime?
False
Let s be -3 + 1 + (-8)/(-2). Let q = 19789 - 19782. Suppose 0 = s*r + 4*u - 744, 3*u = -4*r + q*u + 1428. Is r a prime number?
False
Let g(s) = 9*s - 20. Let u be g(-7). Let x = u - -341. Suppose -3*i + 177 = -x. Is i prime?
False
Suppose 65*b - 499877 = 58*b. Is b a composite number?
False
Suppose -161672 = -3*b - 5*h + 64145, -4*h = -8. Is b a prime number?
True
Let r(m) = -3*m**2 + 29*m + 7. Let q be r(10). Is q + 4100/(-15)*(-40 + 1) a prime number?
True
Let w be (-192)/(-20) - (-15)/(-25). Let s be -9*(3/w*-1 - 0). Let v(c) = 356*c**2 + 3*c - 8. Is v(s) a prime number?
False
Let m(s) = s**2 + 5*s + 6. Let q be m(-3). Suppose -4*n = 5*f - 13496, q = 17*n - 15*n - 4*f - 6722. Is n a prime number?
False
Let b = 23120 + 69965. Is b a composite number?
True
Suppose 4*j = -p + 9, 6*j = -4*p + j - 8. Let r(l) = -l**3 - 6*l**2 + 8*l + 10. Let q be r(p). Suppose q*g = 1 + 65. Is g prime?
False
Suppose -385*g + 366*g + 1338265 = 0. Is g prime?
False
Suppose -11*g + 75 = 53. Suppose -a - g*a - w = -6806, 2*w - 2277 = -a. Is a prime?
True
Suppose 0 = 4*t + 3*d + 3132 - 630, -3*t = 4*d + 1887. Suppose -3*n - 67 = -2755. Let a = n - t. Is a a composite number?
True
Let d(m) = 1037*m**2 - 15*m - 2031. Is d(-31) prime?
True
Let s = 5852 - -6592. Suppose 6*q = s + 16890. Is q composite?
False
Is 121566*(-2)/(-2)*(12 + 781/(-66)) prime?
True
Suppose -7*p = 13*p + 6434359 - 27421379. Is p prime?
False
Let g(k) = 3*k**3 + 15*k**2 - 15*k - 4. Let r be g(-6). Let s be 4/r + (-404)/(-44). Suppose 6335 = s*c - 2*c. Is c composite?
True
Let q be 85/(-17)*1*-163. Suppose 2*x - q = 4065. Suppose -5*w - 5*p + x = 0, p = -5*w + 1935 + 525. Is w a composite number?
True
Let g be (-5)/(-15) + 1/(-3). Suppose q - 691 = -2*f - g*f, 3*f + q - 1037 = 0. Suppose f + 769 = 5*d. Is d prime?
True
Let y = 1821 + -1207. Suppose -23*l = -25*l + y. Is l composite?
False
Let v be -2055 + 19 - (-3 - (-8)/2). Let g = v - -3994. Is g a prime number?
False
Let f = 320879 + -218888. Is f composite?
True
Let l(t) = 28*t + 1023. Is l(16) a composite number?
False
Suppose -1213*h + 374860 = -1193*h. Is h a composite number?
False
Let g be ((-7)/(-3))/((-1419)/1422 + 1). Suppose t - 11213 = -p, t + 4*p = 10107 + g. Is t prime?
True
Let g be 6/4*(-208)/6. Let u = g + 55. Suppose u*o - 1368 = -o - 5*z, -5*o = -2*z - 1743. Is o a prime number?
True
Suppose 3*v + 14 = y, -15*y + 3*v + 2 = -20*y. Suppose 5*o + y*d = 12185, 0 = -o + 33*d - 34*d + 2437. Is o a prime number?
True
Let s = -1395 - -878. Is 36/(-15) - -2 - s/5 composite?
False
Let c = -379322 - -1105083. Is c composite?
True
Let f(u) = 3*u**3 + 7*u**2 - 34*u + 30. Let v(t) = -t**3 - 2*t**2 + 11*t - 10. Let b(q) = -4*f(q) - 11*v(q). Let j be b(-8). Is -167*-1*10/(-4)*j composite?
True
Suppose -13*n + 9*n = 216. Let s = -37 - n. Suppose s*x - 7685 = 1784. Is x prime?
True
Suppose 0 = -3*x + 5*b + 818, -5*b + 617 - 105 = 2*x. Suppose 17*g - 210 - x = 0. Let p = g - -195. Is p composite?
False
Let h(a) = 6*a**2 + 10*a + 17. Let i = -7 - -4. Let r(z) = -z**2 + z. Let b(w) = i*r(w) + h(w). Is b(-7) prime?
True
Let p be (-194)/(-10) + 21/35. Suppose -28*f + 23432 = -p*f. Is f composite?
True
Let h(x) = 9666*x**2 - 120*x + 37. Is h(-7) composite?
True
Let j(y) = -48964*y + 837. Is j(-2) composite?
True
Let w(a) = a**3 + 6*a**2 + 12. Let g be w(-6). Suppose 31*h - 35*h = g. Is (h - -511)*1/4 prime?
True
Let p(r) = -2*r + 26. Let u be p(12). Suppose -3*m - 2*o = u*m - 15549, 0 = -m + 4*o + 3101. Is m prime?
True
Let u(a) be the third derivative of -a**6/120 - a**5/60 - a**4/12 - 3003*a**3 + 30*a**2. Let d be u(0). Is (6 - d/24) + (-2)/(-8) a 