Let t(w) = -2*w + 20. Let k be t(10). Suppose 5*i - 293 = -4*u, -3*u + 5*i = -k*u - 246. Is u a composite number?
True
Suppose 0 = -4*r + 29 + 7. Suppose r*y = 14*y - 1955. Is y a prime number?
False
Suppose 13*v = 9*v + 528. Let z = v + 755. Is z a prime number?
True
Let y(p) = -4588*p - 361. Is y(-11) composite?
True
Let d(u) = -u**2 - 19*u + 4. Let x be d(-19). Suppose -x*c - 4*z = c - 1175, -2*c + 470 = -4*z. Is c a prime number?
False
Let m(g) = -41*g + 19. Let y = 6 - 12. Is m(y) a composite number?
True
Let a = -13 - -13. Suppose -3*b - 3*v + 2004 = 0, a = 2*v + 2*v + 20. Is b a composite number?
False
Suppose -4*w = -5*x + 3, 0 = -w + 3 - 0. Suppose 14 = -d - 0*d + 4*j, d - 1 = -j. Is 887/3 + d/x a composite number?
True
Let l(b) = b**3 - 52*b**2 + 117*b - 161. Is l(51) a composite number?
True
Let x(r) = 2*r**3 + 17*r**2 - 192*r - 24. Is x(19) prime?
True
Let n(o) = -2*o**3 - 27*o**2 + 18*o - 40. Is n(-19) a prime number?
False
Let z(y) = -48*y - 4 + 256*y - 13*y. Is z(7) a composite number?
False
Let a(l) = 15 + 16 + 119*l - 765*l. Is a(-6) a prime number?
True
Let q be ((-3)/(-9))/(5/75). Suppose 2*v + q*d = 855, -3*d + 67 + 363 = v. Is v a prime number?
False
Let i = 1759 + 3978. Is i a composite number?
False
Suppose -2*o - 5 = 3*c - 3, 0 = -c - 4*o - 4. Suppose c*f - 4 = -4*p - f, 4*p - f = -4. Suppose w - 83 - 44 = p. Is w a composite number?
False
Let d = -24 - -18. Let n = 37 - d. Let w = 117 - n. Is w a composite number?
True
Suppose -3*u + 10 = -14. Suppose -5*f + 18 = u. Suppose f*w - 107 - 5 = -n, 0 = 4*w - n - 236. Is w composite?
True
Let a(y) = 108*y**2 + y + 4. Suppose -15 = -5*n - 2*k, 0 = -2*k + 5*k. Is a(n) prime?
False
Is 70714 + 45/(-10) + (-2)/4 a composite number?
False
Let s(i) = 3*i**2 - 23*i + 1546. Let z(x) = -x**2 + 8*x - 515. Let g(p) = 6*s(p) + 17*z(p). Is g(0) a composite number?
False
Suppose -39*h + 264800 = -46927. Is h a composite number?
False
Let s(k) = 2*k**2 - 5*k - 5. Let n(a) = a. Suppose 2*q - 11 = 3. Let b be n(q). Is s(b) composite?
True
Suppose s + 9 = 152. Is s a prime number?
False
Let a be 5*(-3 + 2)/(-1). Suppose -3*l + 4*l - r = 875, -a*r = l - 887. Is l composite?
False
Suppose 2*n - 2*d = -5*d - 29, -5*n - d = 40. Let t = -5 - n. Suppose -6*u + 643 = -u + t*i, -3*i - 496 = -4*u. Is u a composite number?
False
Suppose 0 = 11*c - 8*c + 444. Suppose 5*t = 3*x + 41, 3*x + 0*t - 2*t = -47. Let q = x - c. Is q a prime number?
True
Suppose -5*u + 4*z = -14653, -2*u + 3286 = -3*z - 2571. Suppose -2*y = 2*f - y - u, -10 = 2*y. Is f prime?
False
Let n(q) be the first derivative of 17*q**6/360 + q**5/40 - q**4/24 + 13*q**3/3 - 11. Let f(i) be the third derivative of n(i). Is f(6) composite?
True
Suppose 18 = 2*h - 2*x, 0*h = -h - 5*x - 21. Suppose 4*u - 181 = 2*u - 3*j, h*u + 4*j = 360. Is u prime?
True
Suppose -3*z + 3*w = 0, z - 4*w - 3 - 9 = 0. Is (-2)/(-6)*(z + 3607) composite?
False
Let m(f) = 10*f**2 + 6*f + 10. Let j = -31 - -27. Let k be m(j). Is (-2)/2*(1 - k) a prime number?
False
Suppose 7 - 17 = d - 3*h, 2*d + 4*h - 30 = 0. Let y(m) be the first derivative of -m**4/4 + 7*m**3/3 + 5*m - 1. Is y(d) a composite number?
True
Is (-129840)/(-14) + (-54)/189 a composite number?
True
Suppose 2*i - 27478 = 5*v, 2840 = i + 3*v - 10921. Is i composite?
True
Suppose m = -5*m + 126. Is 1400/m - (-2)/6 composite?
False
Suppose 43*w - 475454 = 29*w. Is w a prime number?
True
Let t = 792 + -1216. Let f = -213 - t. Is f a composite number?
False
Suppose 0 = -50*h + 45*h + 15. Is 0 + h + (1551 - -7) a composite number?
True
Let q be 28/6 + (-3)/(-9). Suppose 0 = -2*j - 4*z + 95 + 571, -5*z = q. Is j a composite number?
True
Let c = -222 + 426. Let u = 725 - c. Is u a composite number?
False
Suppose 5*k - 88 - 2 = 0. Let g = k + -15. Suppose 267 = s - 2*d, 2*d = -2*s - g*d + 534. Is s a composite number?
True
Suppose -t + 12*t - 1947 = 0. Is t a prime number?
False
Suppose 0 = -122*s + 187*s - 477685. Is s prime?
True
Is 1068 + 18/(8 + -6) prime?
False
Let b = 2889 - -13870. Is b composite?
False
Suppose 0 = -5*q - 18 + 3, -m - 4*q = 8. Suppose -255 = -m*h - h. Is (2 + -1)*h + -2 a prime number?
False
Let v(s) = 741*s + 119. Is v(14) a composite number?
True
Let d(n) = 20*n + 34. Let g be d(-8). Let t = 253 + g. Is t composite?
False
Let a be 3/(-6)*-6 + 9. Let v be (-3)/(a/2312*-2). Let o = v + 812. Is o a composite number?
True
Suppose 0 = 3*c - 0*h - 2*h - 1512, 3*c - 1500 = -2*h. Suppose -3*o + o = -c. Is o composite?
False
Suppose -1185 = 5*v - w - 205921, 0 = 4*v - 2*w - 163790. Is v a prime number?
False
Let j(r) = 3*r - 7. Let h be j(6). Suppose -h*m = -10*m - 2. Suppose -31 = y - m*y. Is y composite?
False
Let a = 80 - 76. Suppose 0 = 3*s - 3*u - 1599, 176 + 351 = s - a*u. Is s a composite number?
True
Suppose -4*w = 12 - 4. Suppose -10*q + 53722 = -32288. Is q/45 - w/(-15) a prime number?
True
Suppose -96880 = -5*p - 5*d, 0 = 4*p - 2*d - 87243 + 9757. Is p prime?
True
Let c = -50543 - -98446. Is c a prime number?
True
Let r(u) = -3*u + 5. Let p be (-4)/((-8)/(-7))*2. Is r(p) a prime number?
False
Let r(j) = -36*j**2 + 2*j + 6. Let b = -7 - -10. Let z be r(b). Let n = 125 - z. Is n composite?
True
Suppose 1570*p - 1561*p - 333729 = 0. Is p composite?
True
Suppose 4*d = 3*d - 197. Let m = d + 67. Let j = -77 - m. Is j composite?
False
Suppose g - 6 = 4*h - 2, 0 = -3*g + 5*h + 19. Is ((-534)/8)/(-4 - (-30)/g) prime?
False
Let f(a) = 121*a**2 - 13*a + 33. Is f(5) prime?
False
Let a(i) = -7*i + 6. Let q be a(-3). Let z = q - 22. Suppose -z*y - 9 = -64. Is y a composite number?
False
Let v = -33005 + 46582. Is v a composite number?
False
Let y = -141 - -114. Let i(x) = -22*x**2 - 2*x + 2. Let o be i(-2). Let c = y - o. Is c a composite number?
True
Let u = 22729 - 5472. Is u a composite number?
False
Let r = -12 - -8. Is (4191/6)/((-2)/r) a composite number?
True
Let o = 0 - 21. Let w be (o - 176)*1*3. Let c = w - -1324. Is c a prime number?
True
Let z(s) = -15*s**3 + 4*s**2 - 15*s - 5. Let n be z(6). Let w = 4590 + n. Is w a prime number?
True
Is (-4 - 3 - -6)/(1/(-67577)) a composite number?
False
Let m(j) = -j**3 + 13*j**2 - 11*j + 4. Let b be m(12). Let q be (-4 + 5)/(2/b). Is 11/44 - (-710)/q a prime number?
True
Suppose -14*z + 35646 - 11692 = 0. Is z a composite number?
True
Let o = 3 + 1. Suppose -12 = -3*f - 2*l + o*l, -3*f + 12 = -4*l. Let s(w) = 42*w - 10. Is s(f) prime?
False
Let g(z) be the third derivative of 31*z**4/6 - 11*z**3/6 - 16*z**2. Is g(6) a composite number?
False
Let w = 846 + -301. Suppose p - 2*a + 26 = -80, 5*p - 2*a = -514. Let u = p + w. Is u composite?
False
Suppose -2*t - 1 = -t. Is (9081/(-45))/(((-2)/t)/(-10)) a composite number?
False
Suppose 0 = -5*y + y - 8, 2*j + 2*y - 4430 = 0. Suppose 11 = 4*l - j. Is l a composite number?
False
Suppose 5 = -4*d + 13. Suppose -4*o + 23 = -d*g - 1, -4*g = o - 6. Is ((-12)/(-18))/(o/3951) a prime number?
True
Suppose -10 = -0*q - 2*q. Let w(v) = -v**2 + 6*v + 1. Let n be w(q). Suppose n*b - 2*b = 88. Is b a prime number?
False
Let v = -20 + 16. Let y be (-12)/(-20) - v/10. Is 4 - (-7 + -4 + y) composite?
True
Suppose 5*o - 20030 - 33380 = -4*d, -26712 = -2*d + o. Is d a prime number?
False
Suppose -9463 - 44185 = -16*d. Is d a composite number?
True
Let s = -2855 + 4656. Is s a prime number?
True
Let g(n) = 9*n**3 + n**2 - n + 1. Let f be g(1). Suppose -2*q - 4 = 2, 5*q + f = -5*t. Is (9/18)/(t/278) a composite number?
False
Let l(t) = 3 + 10 + t**2 - 1 + 5 + 8*t. Is l(8) prime?
False
Let v(k) = k**3 - k - 1. Let r(x) = 2*x**3 + 13*x**2 - 17*x - 6. Let s(p) = r(p) - 3*v(p). Is s(10) a prime number?
True
Suppose -6*d + 17 = -5*d - 3*w, 2*d - 59 = w. Suppose 5*a - d = 293. Is a a prime number?
False
Suppose -3*v - 5*b = 37, 0 = v - 3*b - 4 - 7. Let s be 3/(-3) - v - 3. Suppose s*f + 2*f = 5*i - 427, 2*i - 5*f - 175 = 0. Is i a composite number?
True
Let g(b) = 38*b**3 + 17*b**2 - 6*b - 26. Is g(7) a prime number?
True
Suppose 7*b = 2*b + 80. Suppose 0 = f - 2, -c + 4*f - 2*f = b. Let u = -5 - c. Is u a composite number?
False
Let q(o) = 16*o - 6. Let r(c) = 17*c - 7. Let m(n) = -4*q(n) + 3*r(n). Is m(-4) a prime number?
False
Is ((-153905)/(-15))/((-4)/(-12)) composite?
False
Let l be (5 + 21/(-3))*(-6277)/(-2). Let r = 89