uppose -20*z + 1505 = x - 17*z, 1515 = x - k*z. Is x a prime number?
True
Let b be (-873)/6 - (-12)/8. Let x be b/(-40) + (-3)/5. Suppose -4*q = 3*z + 2*z - 642, 3*q + x*z = 480. Is q a prime number?
False
Suppose -33*o = -40*o + 14371. Is o composite?
False
Suppose 5*m - 14 = -q, -5*q + 4 = -2*q - 4*m. Suppose -36 = -4*j - q*i, 2*j - 2*i + 0*i = 14. Let w(c) = 21*c**2 - 4*c + 7. Is w(j) prime?
True
Suppose 2072544 + 9325 = 16*v + 455597. Is v prime?
False
Let b(l) = 607*l + 1495. Is b(48) a composite number?
False
Let y = 197114 - 67401. Is y a composite number?
True
Let w be 24992/(-6) + 1/3. Let o be 1/6 - (w/30 + 0). Suppose -34*b = -35*b + o. Is b composite?
False
Let j be 38/(-4) + -3*(-5)/30. Is (-4047)/j + 2/(-3) a prime number?
True
Suppose 0 = -3*a + 4*d + 5021, -5*d - 6695 = 9*a - 13*a. Suppose -a = -p + 2*o, -4*o = -5*p + 5555 + 2808. Is p composite?
True
Let p(a) be the third derivative of 3/2*a**3 + 1/4*a**5 + 0 - 9*a**2 + 0*a - 5/24*a**4. Is p(-10) a prime number?
True
Let o be (-2)/13 + 84/39 + -2. Let j = -144 + o. Let t = j + 401. Is t a composite number?
False
Suppose 18 = -332*i + 341*i. Suppose 7 = 4*a - 5. Suppose -2*r + 1030 = i*w, -w + 5*r + 2024 = a*w. Is w composite?
True
Suppose 5*v + 4*p - 215 = 0, -2*v + 68 = -2*p - 0*p. Let a(c) = -38*c**3 + v*c**3 - 3*c**2 - 3*c + 3 - 5*c. Is a(8) prime?
False
Let y be (18/21)/(14/49). Suppose -2*c + 3 = -6*c + y*u, 4*u = -12. Let k(r) = 5*r**2 - 2*r. Is k(c) composite?
True
Suppose -27*p + 134281 = 43372. Suppose -6*w = -p - 1355. Is w prime?
True
Let i = 44 - -22. Let z = i - 60. Let x(y) = 7*y**3 + 9*y**2 - 15*y + 1. Is x(z) prime?
True
Suppose 5*q = -10, 3*u = 4*q + 18 + 2. Suppose 0 = -2*h + y + 8, 12 - 38 = -u*h - 3*y. Suppose -4101 = -h*b - g, 531 = -3*b - 3*g + 2982. Is b a prime number?
True
Let v = 44116 - 23382. Let r = v + -9036. Is r a composite number?
True
Let o(l) = -49*l**2 + 30*l - 26. Let v(r) = -25*r**2 + 15*r - 13. Let p(h) = -6*o(h) + 11*v(h). Is p(13) a prime number?
False
Let n(m) = -5*m**3 - 3*m**2 + 99*m + 72. Is n(-25) a composite number?
False
Let b = -243 - -238. Is 3/((-21)/788725*b) composite?
True
Let j = -157013 - -268704. Is j a composite number?
True
Let w be 3342*((-6)/21 + 375/63). Suppose -w = -10*z + 8*z. Is z a composite number?
True
Let q be (-141709)/(-4) - -1 - 265/212. Suppose 0 = z + u + 3*u - q, 0 = -z - 2*u + 35423. Is z a composite number?
False
Let z(j) = -940*j + 72. Let u be z(-18). Is (u/30 + -1)*5 a prime number?
False
Let m be (6/2 - 6)*5 - -3. Let l be m/(-7) - 6/(-21) - -6. Suppose 0 = 2*c - l*c + 9726. Is c composite?
False
Suppose 130 = 9*j + j. Let a(r) be the second derivative of -r**5/20 + 5*r**4/4 - 5*r**3/2 - 9*r**2/2 - r. Is a(j) prime?
False
Let g be 4/26 - (-7902224)/(-286). Is (g/72)/((-1)/4) a composite number?
True
Let g(n) be the first derivative of -119*n**2 + 29*n - 58. Is g(-2) a prime number?
False
Let q be (-880)/(-90) + (-4)/(-18). Suppose q = 3*w + 4, 0 = -5*s + w + 18. Is (-10 - -107)*(s - -1) composite?
True
Let h = -167 - -171. Suppose -h*o = -2*v - 8820, 12*o - 8800 = 8*o - 3*v. Is o composite?
False
Suppose 4*u = -2*q + 2452, 0 = -0*u + 5*u - q - 3079. Suppose 5*b = -5*z + u, 4*b = z - 56 - 52. Let t = 1447 + z. Is t a prime number?
True
Let x(g) = -2*g - 8 - g - 14 + 12. Let b be x(-5). Suppose -3*l - 3*q + 659 = -q, b*q - 20 = 0. Is l prime?
False
Let x(a) = -12*a - 38. Let b be x(7). Let c = -217 - b. Let o = 372 - c. Is o prime?
True
Let h(b) = -16*b**3 + b**2 + 7*b - 13. Let v(t) = 49*t**3 - 4*t**2 - 20*t + 38. Let u(k) = 8*h(k) + 3*v(k). Let q be u(2). Let l = q + 1124. Is l prime?
False
Let j(h) = 613*h - 5. Let v be j(7). Suppose 4*b - v = -5*r, 0*r + 3209 = 3*b + r. Is b a composite number?
False
Let h(j) = -3*j**3 - j**2 - 16*j + 9. Let q be h(-7). Let t = q - -1640. Suppose 4*w - t = -i - 826, -w + 3809 = 2*i. Is i prime?
False
Let b = 56594 + -37810. Let i = b - 9965. Is i prime?
True
Suppose 0 = -2*i + 5*s + 5687, 3*i - 8769 + 233 = 2*s. Is i prime?
False
Let d(t) = 10439*t**2 + 68*t - 6. Let g be d(4). Suppose 0 = 14*r - 24*r + g. Is r composite?
False
Let t = 69249 + -8536. Is t prime?
False
Let a(m) = m**3 + m**2 - 18*m - 55. Is a(38) composite?
True
Let o(d) = -10238*d - 135. Is o(-6) composite?
True
Let k = -20 + 83. Is (-9278)/(-6) + (-7)/k*3 composite?
True
Suppose 10938176 - 7708560 + 9099931 = 111*c. Is c a prime number?
False
Let y(j) = 2*j**3 - 50*j**2 - j + 30. Let s be y(25). Suppose -644 = -b - 3*g, 3*g = 7*b - s*b - 1297. Is b a composite number?
False
Let z(g) = -2*g**2 - 63*g + 433. Is z(-25) a prime number?
False
Is 191714*-2*((-2)/3 - (-185)/444) prime?
True
Suppose 39*l - 85*l = -27*l - 943939. Is l a composite number?
False
Suppose -g + 73 = 717. Let y = g - 39. Let w = 1774 + y. Is w a prime number?
True
Suppose 10*g - 11*g = -4*b + 16, 0 = -g + b - 7. Is -5 + (-24798)/g + (-15)/(-6) a prime number?
True
Is 6546912/40 + 14/35 + 2/(-10) prime?
True
Suppose 4*b - 1216808 = -4*q, 1623374 - 406503 = 4*q - 3*b. Is q a prime number?
True
Suppose 77*r = 260*r + 167*r - 111589450. Is r a composite number?
True
Suppose -5*g - 4*f - 24 = -3*g, 2*g + f + 12 = 0. Is (-2)/g - (-135330)/52 a prime number?
False
Suppose 0*p - 2*p - 3 = 3*y, 3*p + 5*y = -6. Suppose h - 2 = -z, -p*h - z + 2 = 2*h. Suppose -5*q + c + 1062 = h, -51 - 372 = -2*q + c. Is q composite?
True
Let d(m) = -5 + 9*m**2 + 8*m**2 - 7*m - 16*m**2 + m. Let q be d(3). Is (-2)/(-7) - 2614/q a composite number?
True
Suppose -4*m - 242 = -2*n + 5*n, 3*m = 5*n - 167. Let l = 70 + m. Is 13/1*(-4 + l) prime?
False
Is ((-63)/15)/(3/15)*68339/(-111) prime?
False
Suppose 772*v - 760*v = 9071364. Is v a composite number?
True
Suppose 4*u = 65*y - 61*y + 913864, u + 5*y = 228484. Is u composite?
False
Suppose -4*k + 42 = 14. Let h be 260167/(-76)*(-4 - 0). Suppose -k*o - 176 = -h. Is o composite?
False
Let d(z) = -2*z**2 + 11*z - 1. Let n be d(5). Suppose 3*j + 2*j - 4*v - 11 = 0, -3*v = -n*j + 9. Suppose j*q - 1841 = -4*q. Is q a prime number?
True
Is (-140730 + -124)*3/(-6) composite?
True
Let t(i) = 3*i**3 - 48*i**2 + 75*i + 1109. Is t(97) a composite number?
False
Let u(l) = l**3 + 5*l**2 - 2*l - 19. Let z be u(-3). Suppose 0 = -b + z*r + 444, -3*r - 628 = -b - 174. Is b a composite number?
True
Suppose 7*k = 38329 + 209730. Is k a composite number?
False
Let n(t) = 1326*t**2 - 54*t - 251. Is n(-20) prime?
True
Let n be (-4053)/5 - 5/75*6. Let f = -524 - n. Suppose z - 5*q = 35, -5*z + 0*z - 3*q = -f. Is z prime?
False
Let z(r) = -19*r**3 - r + 2. Let f = 16 + -14. Let l be z(f). Let n = 359 - l. Is n a composite number?
True
Let l be (-7)/(-21)*(-12)/(-1). Suppose l*p - 12272 = x + 23720, -4*p = x - 36000. Is p prime?
True
Let k(c) = -183*c - 64. Suppose 3*z + 1 = -5*r + 7, 2*z + 3*r = 3. Is k(z) a prime number?
False
Let u(l) = 88*l**2 - 87 + 11 - 4 + 12 + 13*l. Is u(9) prime?
True
Let p(l) = 729*l**3 + 6*l**2 - 7*l - 71. Is p(9) composite?
False
Suppose 0 = -3*n + 3*s + 104982, -21*s + 18*s = -12. Suppose 7*t = t + n. Is t a prime number?
False
Let b(h) = 2163*h**2 - 4*h - 44. Let l be b(-4). Suppose -20*d + 21200 = -l. Is d prime?
True
Suppose -4*p + 1226816 = 4*f, -4*f + 4*p + 335621 = -891171. Is f composite?
False
Let i = 1053 + -307. Suppose 0 = -4*q + 2*s - 1374 + 66, 2*q + s = -654. Let z = i + q. Is z composite?
False
Suppose -5657 = -10*c - 46437. Let y = c - -7241. Is y prime?
True
Let g(k) = 41*k - 11919. Let l(o) = 83*o - 23837. Let y(w) = -9*g(w) + 4*l(w). Is y(0) a prime number?
True
Suppose 0 = n - 0*n + 4, -5*z + 6 = n. Suppose g - 3*f = 3321, -14*g + 10*g + z*f = -13244. Is g a composite number?
True
Suppose 0 = -s - 3*d + 7*d + 90622, -3*s = -4*d - 271850. Is s composite?
True
Let x = 3 - 5. Let w = 2117 - 2111. Is (x/(w/(-273)))/1 a composite number?
True
Let a(i) = i - 58. Let y be a(26). Is 16/y - ((-47322)/4)/3 a composite number?
False
Let c be 17 + -6 - (-4)/4*-4. Let w(s) = 81*s**2 + s + 15. Is w(c) composite?
True
Let r be 3 + 4 + -14 + 9. Suppose r*v = -5*d - 0*d + 16759, -5*d = v - 16762. Is d a composite number?
True
Let g = 67008 - 34259. Is g prime?
True
Let b be (4/(-6))/((-13)/14391). Let f = 103 + -6. Let w = b + f. Is w prime?
False
Suppose -4*a - 2*g + 137 - 337 = 0, -64 = a - 3