Is b a prime number?
True
Suppose -3*x - 4*f = -47537, 31653 = 2*x + 31*f - 36*f. Is x a prime number?
False
Suppose -1190508 = -d + x, 3*d - 4164039 + 592514 = 4*x. Is d a composite number?
False
Suppose 3*a - 2*y = -y + 1131512, 2*y = 4*a - 1508682. Is a prime?
True
Let g(t) = 3*t**3 - 5*t**2 - 23*t + 14. Let y(k) = 27*k + 65. Let z be y(-2). Is g(z) a prime number?
False
Let c(w) = 111*w**3 - 13*w**2 + 58*w - 10. Let t(y) = 37*y**3 - 4*y**2 + 19*y - 3. Let l(f) = 4*c(f) - 13*t(f). Is l(-6) composite?
False
Let k(f) = 2*f**2 - 5*f + 5. Let l be (-11)/((-22)/12) - -3. Let w = 5 + l. Is k(w) prime?
False
Let j = -9691 - -107942. Is j a prime number?
True
Let c be 5 + -2 - (-5)/(-1) - -2. Let r(q) = c - 234*q - 3 + 11 + 9. Is r(-8) prime?
True
Let r = -106166 - -198789. Is r composite?
False
Let d be (-12)/(-2)*((-20960)/(-3))/5. Suppose -5*n + 3240 - d = 2*q, 3*n + 4*q = -3078. Let r = 477 - n. Is r composite?
True
Suppose 4*l + 160*u - 157*u = 639968, -l + 2*u + 159981 = 0. Is l composite?
True
Suppose 9*f = 8*f + 5*w + 24, 4*f - w - 1 = 0. Is (-2)/(-6)*(-89751)/f prime?
True
Suppose 2*o - 13*o + 2539218 = 0. Suppose 30*r - 340092 = o. Is r a prime number?
True
Is (1*(-7)/1)/(119/(-1019167)) composite?
False
Suppose 50*p + 561*p - 597835978 = -63*p. Is p a prime number?
False
Let y = 11688 + 203. Suppose 42*f = 4027 + y. Is f a prime number?
True
Suppose 2*s - 663107 = 6*h - h, h = -4*s + 1326159. Is s composite?
True
Let k be ((-15)/10)/((-4)/11144). Suppose -5*a - 7845 = 5*n, 0 = -n - 0*n - 3*a - 1571. Let m = n + k. Is m composite?
True
Let z(u) = -1212*u - 10. Let g be z(-14). Suppose 4*s - 77444 = 2*l - g, 2*s - 5*l = 30263. Is s composite?
True
Let s(b) = 5012*b**2 + 26*b - 9. Is s(-6) a composite number?
True
Suppose -33722 = w - 10*w + 160291. Is w a prime number?
True
Suppose -3*o + p - 4 = 3*p, 0 = -o - 5*p - 10. Suppose o = l - 3*t - 1342 - 863, 4360 = 2*l + 4*t. Suppose 5*n = 2795 + l. Is n composite?
False
Let s = -26 + 24. Let o be s/((-4)/(-4)) - -3. Is (422/8)/(o/28) a composite number?
True
Suppose 0 = w + 2*a - 14, 0 = -3*w - a - 9 + 26. Let q(i) = -i**3 - 8*i**2. Let l be q(-8). Is 938 - (0 + l) - (w - 3) a prime number?
True
Let b = 3172 - 708. Let o = 575 + b. Is o prime?
False
Let b(u) = 2986*u**2 - 99*u - 413. Is b(-4) composite?
True
Let p be (-1 + (1 - 26))/(126/(-8127)). Let q = p + 625. Is q prime?
False
Let x(s) = 65*s + 12. Let v(h) = 61*h + 11. Let z(c) = 13*v(c) - 12*x(c). Suppose -4*f + 22 + 2 = 0. Is z(f) composite?
True
Let l(n) = 86*n**2 + 20*n + 169. Suppose 9*c - c = -136. Is l(c) prime?
True
Let h(k) = 1770*k**2 - 12*k + 19. Is h(1) a composite number?
False
Suppose p - 53*s - 285959 = -42*s, 0 = -5*p - 2*s + 1429681. Is p a composite number?
False
Let u(b) = -26 - 14*b**3 + 32*b**2 + 15*b**3 + 30*b + 2*b. Is u(-15) a composite number?
False
Let i = -672 - -675. Suppose -n - 5*s + 46876 = 0, 8*s - 13*s + 140658 = i*n. Is n a prime number?
False
Let f = 76 - 61. Suppose -f*z = -13*z - 170. Suppose h = 4*u + z, 5*u + 262 = 3*h - 0*u. Is h a composite number?
False
Let d(y) be the second derivative of 2*y**4 + 7*y**3/6 + 8*y + 3. Suppose 0*g = -3*g + 15. Is d(g) composite?
True
Let l(z) be the third derivative of 82*z**5/15 + 23*z**4/24 + 107*z**3/6 - 58*z**2. Is l(-6) composite?
False
Suppose 4*m - 242788 = -2*q - 57202, 3*m - 139158 = 3*q. Is m a prime number?
False
Suppose 0*f + 30 = -6*f. Let a be -2*(35106/(-60) + 2/f). Let k = -728 + a. Is k prime?
True
Let k(n) = 1539*n**3 - 2*n**2 - 3*n + 4. Let j = 939 + -937. Is k(j) a prime number?
False
Suppose -8*x = -2*x - 102. Let a(w) = 34*w - 15. Is a(x) a composite number?
False
Let b(p) = -19597*p + 214. Is b(-1) composite?
True
Suppose 0 = 3*j + 4*v - 40469, -4*j + v + 53972 = 3*v. Is j composite?
True
Let k(a) = 14*a**2 - 25*a + 196. Let b be k(8). Let z = 1611 - b. Is z composite?
False
Suppose -5*v = -10, -2*s + 4*s + 3*v - 61276 = 0. Suppose -11*t - s = -22*t. Is t prime?
False
Let d(l) = l**3 - 6*l**2 + 5*l + 1. Let h be (-18)/(-6) - -2*1. Let j be d(h). Is 2/8 - ((-33546)/24 - j) composite?
False
Let d = -21281 - -36214. Is d a prime number?
False
Suppose 62 = 3*f - p + 6*p, -4*p = 3*f - 58. Suppose f*l + 2 = 15*l. Suppose 5*b + 4008 = 4*k, l*k - 5*b = -k + 3001. Is k a composite number?
True
Suppose 21*g - 25*g = 48. Is (-4296)/(g/2) - (-1 + 0) prime?
False
Suppose 8*t = 3*t - 3*o + 24, -2*o - 6 = -4*t. Is (1191/4 - 3) + t/12 prime?
False
Let j(f) = 10*f**2 - 5*f + 13. Suppose -2*s = -7*s - 4*r + 24, 3*s + r - 20 = 0. Is j(s) a composite number?
False
Let t(s) = s - 9. Let p be t(15). Suppose 3*i + p = 15. Suppose 5*a + 246 = 4*r, 0*a = -i*a - 6. Is r prime?
True
Let k be (-12)/9*-2*(-228)/(-32). Suppose -k*g + 17*g = -25078. Is g a composite number?
False
Let m = -100792 + 147506. Is m composite?
True
Let m be (4 - 8)/((-3)/(225/20)). Suppose -m*a + 9615 = -10*a. Is a composite?
True
Let g(m) = -m**3 - 4*m - 12. Let y be g(0). Let x(j) = -4*j**3 + 18*j**2 + 44*j - 14. Is x(y) a prime number?
False
Let c(f) = -3956*f - 303. Is c(-19) composite?
False
Let o(h) = 858*h**2 + 116*h - 1185. Is o(11) composite?
True
Suppose 0 = -136*q + 723207 + 1975169. Is q a prime number?
True
Let t be 16/(-24) - (-66768)/9. Suppose -577 = -5*z + t. Suppose 5*l - z = -3*y + 8254, -3*l + 5915 = y. Is l a prime number?
True
Let w = 46554 - -30745. Is w a prime number?
False
Let d(t) = 19*t**2 + 2*t**3 + 10 - t**2 - 11*t - 3*t**2 - 3*t**3. Suppose 0*a - 2*g = 4*a - 44, 0 = 5*a + 3*g - 53. Is d(a) a composite number?
True
Let b be (-14)/70 - (0 + 52/(-10)). Suppose -3*k = -b*k - 3*k. Suppose k = -u - 5*u + 4602. Is u composite?
True
Suppose 2*w + 4*d - 3492 = 0, 0 = 2*w - 4*w - 3*d + 3490. Let x = w - 63. Is x composite?
True
Let c(s) = 2*s**2 - 2*s + 1. Let b be c(1). Is 4 - b*(2 - 3791) prime?
True
Let q(v) be the third derivative of 55*v**4/12 + 167*v**3/6 + 2*v**2 - 74. Is q(18) a composite number?
True
Let b be 21/(-14) - 105/(-2). Let i = 54 - b. Suppose 44 = a - i. Is a a composite number?
False
Let s = -571 + 574. Suppose -2*o - 17*k = -15*k - 780, 1564 = 4*o + s*k. Is o prime?
False
Suppose -3*v = 3*n + n + 270812, 5 = -n. Is (-4)/14 - (v/28)/6 a prime number?
False
Is 14 + 262716 + 5 + -1 + -5 a prime number?
False
Let b = -50 + 28. Let n be b/(-8) - (27/(-12) + 2). Suppose n*h - 1338 = -381. Is h a prime number?
False
Let d = 167187 + 108512. Is d a prime number?
True
Let a(v) = 1902*v**2 - 27*v - 80. Is a(-7) a composite number?
False
Let b be (3987/(-2))/((-27)/(-36)). Let p = -875 - b. Is p a prime number?
True
Suppose 2*q = 6*q. Let c be (-2 - q)/(7/((-21)/3)). Let b(n) = 53*n**3 - 4*n**2 + 3*n - 1. Is b(c) composite?
True
Suppose k = 3*a - 14, -k + 3*k + 5*a + 17 = 0. Let d(x) = x**2 + 10*x + 4. Let y be d(k). Is 1158/y - (-5)/(-25) a prime number?
False
Let z be (-2)/3 + 38/3. Let q(d) = 17*d**2 - 2*d - 101. Let t(g) = -4*g**2 + 2*g + 25. Let p(n) = -2*q(n) - 9*t(n). Is p(z) a prime number?
True
Suppose 41*w - 791982 = 520176 - 440129. Is w prime?
True
Suppose d = -0*d - w - 21, 3*w = 4*d + 63. Is (-15962)/d + 4/18 prime?
True
Suppose -582657 = -20*m + 4*m - 46193. Is m prime?
True
Let b = -32 + 34. Suppose b*z = 4 - 4. Suppose 2*j - 436 - 358 = z. Is j a prime number?
True
Let h = -34812 + 94391. Suppose 0 = 39*b + 46*b - 88*b + 6. Suppose -b*q - 11*q + h = 0. Is q a prime number?
True
Suppose -3*b = -d - 63, -4*b + 31*d = 32*d - 77. Suppose 0 = -4*x - b*x + 7944. Is x a prime number?
True
Let v(g) = -g**3 + 10*g**2 + 57*g + 9. Let l be v(31). Let t = 28562 + l. Is t a prime number?
False
Let n be 736/3 + (-1)/3. Suppose -n = -9*v - 74. Is v composite?
False
Suppose -84 = -20*x + 6*x. Suppose x*p - 1 = 17. Suppose -p*t + 5352 = 5*m - 943, -2*m + 2518 = -4*t. Is m a prime number?
True
Suppose -478*g = -440*g - 442966. Is g a composite number?
False
Let c(y) = y**3 - 7*y**2 - 10*y + 16. Let f be c(8). Suppose -4*j - 18 = -2*l, 2*j - 3 - 3 = f. Is 2/(((-8)/530)/((-6)/l)) composite?
False
Let d = -15750 - -36257. Is d composite?
False
Let z(u) be the first derivative of 506*u**3/3 + 2*u**2 + u + 4. Let a(n) = 7*n**2 - 107*n + 31. Let w be a(15). Is z(w) a prime number?
False
Suppose -5*b + 5455 + 4245 = 0. Let i be 3 + b*-4*4/(-16). Suppose 4*x - i = 5*