43. Is r(7) a prime number?
True
Let v(m) = m**3 + 4*m**2 + m - 4. Let c be v(-2). Suppose -c*w - 1 = -3. Let p(b) = 12*b**2 - 2*b + 1. Is p(w) a prime number?
True
Let s be 4/16 - (-11)/4. Suppose -2246 - 6955 = -s*a. Is a a composite number?
False
Suppose 0 = -8*g + 10*g - 14. Let o(m) = 33*m**2 - 10*m + 12. Is o(g) prime?
True
Let g(c) = 137*c**2 + c - 6. Let x be g(-3). Suppose 2*v - 1623 = -p + x, 0 = -5*p + 15. Suppose -v = -3*y + 3*m, 5*y - 4*m = -2*m + 2367. Is y a prime number?
False
Suppose -6*z + 3*z - 3*v = -72, 0 = -5*z - 2*v + 108. Is z/2*((-275)/(-2) - -1) a prime number?
False
Suppose -10*r + 8 = -2*r. Is 379 + (6/3)/r a prime number?
False
Suppose -2*d = 7 - 1. Let s(r) = -3*r**3 - 3*r**2 - 1. Is s(d) prime?
True
Let o(g) = 3*g + 4. Let l be o(-2). Let x = 4 + l. Suppose 1055 = 3*m + x*m. Is m composite?
False
Suppose 562614 = 45*x - 61671. Is x a composite number?
False
Suppose -4*s = 4*f - 5008, -5*f - 13*s = -10*s - 6254. Is f composite?
False
Let y = 67867 + -38598. Is y a prime number?
True
Suppose 4*p - 5*r - 174083 = -36477, -p + 34393 = 3*r. Is p composite?
True
Let p = 89 - -66. Is p composite?
True
Let d = 10 + -8. Let u = -2 + d. Is -15 + 19 - (-51 + u) a prime number?
False
Suppose 5*o - 3*o + 3*m - 33 = 0, 3*o = -4*m + 47. Let h be (o/(-6))/(9/(-66)). Suppose -590 = h*i - 16*i. Is i prime?
False
Let k = -19 + 16. Is (-7)/(-21)*k + 49 + -1 composite?
False
Let o(m) = 5*m**2 + 23*m - 129. Is o(25) a prime number?
True
Let n(g) = -14*g - 30. Let x be n(12). Let q = x + 641. Is q a composite number?
False
Suppose 2*u + 6 = 36. Suppose u*s = 16*s - 211. Is s a composite number?
False
Let d(v) = -96*v**3 - 2*v**2 - v + 2. Let q be d(1). Let s = 166 + q. Is s composite?
True
Suppose 5*y - 31 + 1 = 0. Suppose -3*w = -y*w + 897. Is w prime?
False
Let o(m) = 62*m + 15. Suppose 5*s = f - 28, 3*f + 4*s + 38 = 5*f. Is o(f) a prime number?
True
Let m(d) = -12 - 15*d**3 + 16*d**3 + 9*d + 12*d**2 - d**2 + 4. Let s be m(-10). Is -2 + -2 + s - -24 prime?
False
Let j = 12156 + 965. Is j a composite number?
False
Let k = -7175 - -12154. Suppose -y = -0*d + 4*d - 3991, 5*d - 2*y = k. Is d a prime number?
True
Let d(a) = a**3 - 5*a**2 + 7*a - 35. Let x be d(5). Is (0 - (x - -1)) + 2474 prime?
True
Let b = 634 + 453. Is b a composite number?
False
Let x = -12 + 20. Let w = -17 - x. Let o = w + 58. Is o a prime number?
False
Let b = 1599 + 13562. Is b composite?
False
Let z(o) = 33*o - 8. Let h be z(-4). Let x = h - -92. Let v = 1 - x. Is v a composite number?
True
Let w be 4/(-20) - 183/(-15). Suppose -1478 = -w*p + 10*p. Is p a prime number?
True
Suppose -2*k - 5*p = -84, 2*k - 3*k + p = -35. Let m = 11 - 7. Suppose m*d - 5*d + k = 0. Is d a composite number?
False
Suppose -s = 2288 - 9031. Is s a prime number?
False
Suppose -13905 = 16*j - 124321. Is j a prime number?
False
Suppose 0 = -3*n, 2*v + n = 2*n. Let h(j) = -2*j**2 + 2729. Is h(v) prime?
True
Let o(c) = -3 - c - 2 + c**2 - c**3 + 6. Let u be o(0). Let w(r) = 67*r + 2. Is w(u) composite?
True
Let p(u) = -u**3 - 14*u**2 + 17*u + 13. Let i be p(-16). Is i + 4 + 0 - 0 prime?
True
Let p = 9910 - 6764. Let u = -1741 + p. Is u prime?
False
Let q be 16/(-3)*(-21)/28. Suppose 0 = 3*t + u - 13, -2 = -0*u - 2*u. Suppose 0*l - 4*l = -3*c + 473, 0 = -t*c - q*l + 668. Is c a composite number?
False
Let o(p) = p**3 - 23*p**2 + 42*p + 28. Is o(27) prime?
False
Let s = -29 + 34. Suppose s*l = -0*l + 5*i + 6805, -4*l + 5444 = 4*i. Is l prime?
True
Let i(j) = 27*j**2 - 16*j + 1. Let l(q) = q + 1. Let v(k) = i(k) + 6*l(k). Suppose -5 + 35 = 5*u. Is v(u) composite?
False
Is (-3 + 5 + 4 + -3169)*-7 a composite number?
True
Suppose 2*r - 3*r = -2545. Suppose -9*q = -4*q - r. Is q a prime number?
True
Let t be (6/(-8)*254)/(27/(-36)). Suppose d + 21 = 2*o, -3*d + d = -6. Is (t/(-3))/(o/(-54)) a composite number?
True
Suppose -13*m - 25 = -18*m. Suppose 5*j - s - 2*s = 1643, -1344 = -4*j - 5*s. Suppose -w - 3*r - r = -167, -2*w = m*r - j. Is w a prime number?
True
Suppose 2*s + 3*r + r = 6, 5*r - 20 = -5*s. Is (1 - 1707)/((-2)/s) a composite number?
True
Suppose 0 = -5*t + 1977 + 1018. Suppose -10*g + 3861 = -t. Is g a prime number?
False
Let n(p) = 97*p - 22. Let j be n(-15). Let r = 3353 + j. Suppose -5*k - 506 = -r. Is k a composite number?
True
Let o(q) = 1 - 9*q + 53*q + 4. Let p be -15*((-16)/(-10) + -2). Is o(p) composite?
False
Let q = -152 + 158. Suppose 0 = q*o - 3*o - 1905. Is o prime?
False
Suppose -2*a - 4*p + 20 = 0, 0 = -p - p. Suppose -12*d + 742 = -a*d. Is d prime?
False
Suppose 5*k - 22997 = -3*v, -2*k + 7*k + 7679 = v. Is v a prime number?
True
Let a(c) = 34*c**2 + 5*c + 3. Let q be a(3). Let z = q + -181. Is z prime?
False
Suppose 3*t - 46 = -3*m + 2*t, -2*t = 2*m - 36. Is 10594/m + (-4)/(-14) prime?
True
Let y(q) = -17*q + 7. Let v be ((-6)/2)/(3/4). Let g be y(v). Let h = -22 + g. Is h a composite number?
False
Is ((-4)/(12/(-60861)))/1 a composite number?
False
Suppose 10073 = 15*x - 10342. Is x a composite number?
False
Let i(s) = -s**3 - 16*s**2 + 36*s + 34. Let g be i(-15). Is 8 + -7 - (g + -2) a prime number?
False
Let r(f) = 10*f**3 - 4*f**2 - 4*f + 95. Is r(8) a composite number?
True
Let f = 79999 + -127483. Is (2/(-8))/(9/f) prime?
True
Suppose -2*m - 4*a = m - 58111, 2 = -a. Is m a prime number?
True
Is (-462930)/(-24) + (-38)/8 + 5 composite?
False
Suppose -i + 9233 + 1264 = 0. Is i a composite number?
True
Let b(k) = k**2 + 4*k - 8. Let u be b(-5). Let s(x) = -293*x + 1. Let z be s(u). Suppose z + 2004 = 4*w. Is w composite?
True
Let r = 11 + -7. Suppose 9*b - r*b - 1001 = -3*p, p = -2*b + 333. Is p a prime number?
True
Let o(x) = 540*x**2 + 29*x - 76. Is o(3) a prime number?
True
Suppose 0 = -21*b + 532424 - 74687. Is b a prime number?
False
Let i = 14 - 21. Let g = i - -19. Suppose 4*h - 448 = -g. Is h prime?
True
Is 18654/2*(637/(-39))/(-7) a prime number?
False
Suppose 6 = -4*r + 26. Suppose 0 = 3*f + 2*j + 6, 4*j - 5 = -5*f - 17. Suppose 4*b + 68 = -h + r*h, -3*h - 4*b + 86 = f. Is h prime?
False
Let b(k) = 64*k. Let i = 21 - 15. Let w be b(i). Suppose -2*a = 8, a + w = 4*n - 0*n. Is n a prime number?
False
Is 7/14*-2*(-1 - 2520) prime?
True
Let f be 2/7 - (-144)/(-112). Let h be f - -4*(-597)/(-6). Let j = h - 264. Is j a composite number?
True
Let j(o) = 121*o**2 - 10*o - 4. Let m be j(9). Suppose 1733 = -6*v + m. Is v prime?
False
Suppose -o - 2*z + 1649 = 0, -8*o + 3*o + z + 8212 = 0. Is o a prime number?
False
Suppose 115702 = 2*v + 5*w, -7*w + 6*w - 289201 = -5*v. Is v a composite number?
True
Let b(o) be the third derivative of o**5/6 + 23*o**4/24 + 2*o**3/3 + 9*o**2. Let l(x) be the first derivative of b(x). Is l(10) a prime number?
True
Let o(v) = 56*v**2 - v + 1. Let r be o(-3). Suppose 4*h - r = 2772. Suppose -431 = 5*z - 3*w - 1249, -5*z + 5*w = -h. Is z prime?
True
Let o(k) = 17*k - 18. Let m be o(4). Suppose 5*b + 5*n = 455, 0 = b + 3*n - m - 49. Is b prime?
False
Is ((-12938)/(-2))/(3/3) a prime number?
True
Let r(m) = 18*m + 17. Suppose 7*j - 2*j = 4*c - 16, -4*j - 17 = c. Let f be (j + 3)*(-3 - 4). Is r(f) composite?
True
Suppose 4*t = f + 5, -3*t + f = 4*f + 15. Let i(a) = -105*a + 27. Let k be i(-3). Suppose t = j - 77 - k. Is j a prime number?
True
Let u(y) be the second derivative of 53*y**4/12 + 5*y**3/6 + 7*y**2/2 + 48*y. Is u(-10) composite?
True
Suppose -3*m - 3*h = -44613, 5*m - 35282 = -2*h + 39061. Is m composite?
False
Let t be 1/(-1) - (28 - 0). Let y = 31 + t. Is 519 + (y + -4)*-1 a composite number?
False
Is 2577 - ((-20)/4 + (1 - -2)) composite?
False
Suppose -n = 5*t + 10, -1 = -n - 2*t - 2. Let q = n - 10. Let c(i) = -2*i**3 - 7*i**2 + i - 3. Is c(q) prime?
True
Suppose -2*f = -3*c - 14, 0 = 4*f + c - 1 - 13. Let l be -14 - (2 - 1) - f. Let i(p) = -p**2 - 27*p - 11. Is i(l) prime?
False
Suppose 0 = -11*z + 81384 + 35909. Is z composite?
False
Is (-1)/(-3) + 0 + 262352/57 a composite number?
False
Suppose -4 = 10*v - 8*v. Is 66/12 + v/(-4) a composite number?
True
Suppose 44*b = 46*b + 4*j - 54914, -2*b + 5*j + 54896 = 0. Is b a prime number?
False
Let r = 43 - -664. Suppose -3*j - r = -5*b, -4*b + 576 = -j - 4*j. Is b prime?
True
Let u(v) = 16*v**3 - 5*v**2 - 31*v + 15. Is u(11) a prime number?
False
Let m = 1268 - 459. I