- 427. Is d a composite number?
False
Suppose -2*a + a - 765 = -g, -2*g + a = -1532. Is g a prime number?
False
Suppose 5*d = 4*y - 29807, -2*y + 3*d = y - 22356. Is y composite?
True
Let q(g) = -475*g - 24. Let b be q(-11). Suppose j = 8*j - b. Is j a prime number?
True
Suppose 2 - 42 = -8*c. Suppose -3*k - c*w - 3703 = 0, 3698 = -3*k - 7*w + 3*w. Is k/(-4) + (-10)/(-20) prime?
True
Suppose 5*j - 25 = 5*l, 5*j - 3*l - 12 = 3. Suppose j = -2*o + 4*w - 6, -2*w + 9 = 1. Suppose 1534 = o*h + 349. Is h composite?
True
Suppose 0 = 5*w + 5*d - 27515, -w - 2*d + 5084 = -421. Is w a prime number?
True
Let u be (8215/(-10))/1*-2. Let j = u + -960. Is j a prime number?
True
Let i(v) = 2*v - 5 - 6*v**3 - 7*v**2 + 4*v**2 - 2*v**2. Suppose 2*m + 18 = -m. Is i(m) a prime number?
False
Suppose 10*q - 29586 = 5*q - 4*k, q + 2*k - 5922 = 0. Is q prime?
False
Let d = -1700 + 3593. Let u = d + -1106. Is u composite?
False
Let l(p) = -4*p**3 - 2*p - 1. Let b be l(-1). Suppose -9*w + 120 = -b*w. Suppose -2*q + 0*q - 4*a + 44 = 0, 0 = -3*q + 3*a + w. Is q a composite number?
True
Let a be 6/(-4) - 2421/(-18). Suppose -5*g = 5*i - 170, 4*g + 0*g - a = -3*i. Is g prime?
True
Let u(b) = 2*b + 12. Let x be u(5). Suppose 4*d - 4*s + 2 + 10 = 0, d + 4*s = x. Suppose -f + d*f + h = 64, -182 = -3*f - 5*h. Is f a prime number?
False
Suppose 2*m + 5*v - 1014 - 1779 = 0, -4*m - v = -5595. Is m a composite number?
False
Let u = -716 + -83. Let g = u - -1386. Is g a composite number?
False
Let z(s) = 154*s + 173. Is z(27) a prime number?
False
Let i(l) = l**2 + l + 192. Let b be i(0). Suppose 3*y - 1029 = -4*s, b = s + 4*y - 49. Suppose 2*v = 397 + s. Is v prime?
False
Let s(u) = u**2 - 3*u - 22. Let p be s(8). Suppose 15*y - p*y + 2163 = 0. Is y composite?
True
Let r = 545 - -224. Is r a prime number?
True
Suppose m = -x + 1115, -2*m = 4*x - 3*m - 4460. Is x a composite number?
True
Suppose 8 + 7 = 3*j. Suppose j = -2*u - 3*u. Is (1 - u)/(8/1172) prime?
True
Let r(k) = 18*k**2 + 9*k + 4. Let j(u) = u**2 + u - 1. Let f(x) = 3*j(x) + r(x). Is f(10) prime?
True
Let l(i) = 59*i**2 + 13 - 28*i**2 + 9*i - 29*i**2. Is l(6) composite?
False
Suppose -19*s = -8*s - 5335. Is s prime?
False
Suppose 2 = -3*n + 20. Suppose -2*t + n*t = 316. Is t a prime number?
True
Let g = 239 + -28. Let w be 5*(16/5 + -2). Is (-3 + w)/3*g prime?
True
Let o(a) = a**2 - 3*a + 8. Is o(6) composite?
True
Is 1*72526*(6 - 187/34) a prime number?
True
Let x = -65199 + 121110. Is x composite?
True
Suppose -5445 = -3*v + 378. Is v a prime number?
False
Let m(p) = -p**2 + 13*p - 15. Let q be m(9). Let s(x) = -x**2 + 26*x + 10. Is s(q) composite?
True
Let p be 6/(-4) - 810/20. Is (-810)/p - (6/21)/1 a prime number?
True
Suppose 41762 = -17*p + 14885. Let a = 76 - p. Is a prime?
True
Suppose -4*i + y + 12227 = -3*i, i + 2*y - 12227 = 0. Is i composite?
False
Let p(d) = 2*d**3 - 8*d**2 - 6*d + 14. Let m = 57 + -51. Is p(m) composite?
True
Is (-3)/1 - (-9992 - -12) a composite number?
True
Let t(d) = -8*d**3 + 3*d**2 - 11. Let h be t(-5). Let u = h - 633. Is u prime?
True
Let s = -13 + 25. Let m = 11 + -8. Is (-1911)/(-12) - m/s a prime number?
False
Let s(m) = -6*m**3 + 3*m**2 - m + 2. Let g be 1 + (-4)/(-3)*-3. Is s(g) a prime number?
False
Let c = 361 - -1818. Is c composite?
False
Let a(c) = -215*c - 4. Let n(d) = 859*d + 16. Let q(g) = -9*a(g) - 2*n(g). Is q(6) prime?
False
Let c(k) = -66*k + 5. Let d(t) = -2*t - 3. Let p(j) = -j**3 + 2*j**2 - j + 2. Let q be p(2). Let z be d(q). Is c(z) prime?
False
Suppose 2*q - 632 = -0*q. Suppose 939 + q = 5*z. Is z a composite number?
False
Suppose 0 = -4*z - 5*o + 7208, -6077 + 640 = -3*z + 4*o. Is z a prime number?
False
Is (-33)/(-9) + -2 + 7619920/84 a prime number?
False
Let r = -54600 - -106765. Is r a composite number?
True
Suppose f + 366 = 7*f. Suppose -5*k + 216 = -9*k. Let b = f - k. Is b composite?
True
Suppose 0 = -m - 4*v + 3 + 23, 5*v - 10 = m. Let w = m + -8. Suppose w*x - x = 157. Is x prime?
True
Suppose -2*y = 2*o + 8, -17 = 4*o - 0*y + 5*y. Let s be o - (5 + 2 + -6). Is (-981)/(s + 1) - 1 a prime number?
False
Suppose j + 15805 = 4*k + 2800, -k = j - 3250. Is k prime?
True
Let i = -8 - -25. Is (44*i - 5) + 0 a prime number?
True
Let y = 37 + -22. Let n(w) = w**2 + w + 29. Is n(y) prime?
True
Suppose -11701 + 4031 = -10*d. Let p = d - 184. Is p a composite number?
True
Suppose 4*r - 619 = 5*v, -v + 166 = -14*r + 15*r. Is r a prime number?
False
Suppose 131813 = 27*g - 4*g. Is g a prime number?
False
Suppose 2*a - 16 = -a + 2*w, -2*a - 5*w = 21. Suppose 0 = 3*y + a*y - 2495. Is y prime?
True
Let k = -4965 + 2913. Is 6/36*6 + k/(-1) a prime number?
True
Let a(b) = -b - 4. Let i be a(-2). Let l(r) = -3*r - 2. Let x be l(i). Suppose m = -3*d - 4, x*m - 19 = -5*d - 0. Is m prime?
True
Is ((-527)/34)/(-31) + 9105/2 prime?
False
Let n(w) = -w**2 + 8*w. Suppose 5*v - 48 = -8. Let q be n(v). Suppose q = -2*l + k + 399, 3*l - 6*k + 3*k = 594. Is l prime?
False
Is (7 - 8)*-1*3389 a composite number?
False
Suppose -2*i = -4*k + 30, -2*k - 4*i = -8*i. Let n = 69 - k. Is n a prime number?
True
Suppose 277*b + 1366 = 279*b. Is b composite?
False
Let o(f) = -24*f + 20099. Is o(0) a composite number?
True
Let s = -8648 - -13389. Is s prime?
False
Suppose 5*l = 4*m - 32212, m + 16*l - 8053 = 13*l. Is m a composite number?
False
Is 178*(16/24)/((-4)/(-3)) a composite number?
False
Let i(p) = p**3 + 7*p**2 + 4*p - 12. Let r be i(-6). Suppose 2*l - 7*l = -n - 1896, -3*l - n + 1136 = r. Is l composite?
False
Suppose -21 + 7 = -7*m. Let i(a) = 420*a**3 - 2*a**2 - 1. Is i(m) prime?
False
Let w(a) = 6733*a**3 - 2*a**2 - 8*a + 8. Is w(1) composite?
True
Let i = -20101 - -42632. Is i a composite number?
False
Let l(y) = y + 10. Let z be l(-10). Suppose z = -s + 4*s + 9, -297 = -5*a + 4*s. Suppose 2*t - t = a. Is t composite?
True
Let i = 5059 + -3258. Is i a prime number?
True
Suppose -i - 4394 = -f, i - 21920 = 6*i + 5*f. Let t = -3028 - i. Is t prime?
True
Let b = -23648 + 36315. Is b composite?
True
Suppose 4*a = 4*x - 5790 - 1126, 5*a = 20. Is x a prime number?
True
Let v(c) = -3*c**3 + 2*c**2 - c. Let y be v(1). Let m(p) = 68*p**2 + 3*p + 5. Is m(y) a composite number?
False
Suppose -5*i + 25 = 0, 4*i = -s + i - 3763. Let o = 6387 + s. Is o a prime number?
True
Let q(m) be the first derivative of m**4/4 + m**2/2 + 285*m - 12. Let r be q(0). Suppose 2*t - r = -3. Is t composite?
True
Let a be 33/(-7) - (-26)/(-91). Is 292/(-2 - 20/a) a prime number?
False
Suppose -52 = 4*g + 3*v - 7*v, -4*v = 4*g + 28. Let n = 39 - g. Is n a composite number?
True
Let g(a) = -4*a + 15. Let h be g(3). Suppose 0 = 2*x - 7*r + 3*r - 1786, 0 = 5*x + h*r - 4439. Is x a composite number?
True
Let h(j) be the first derivative of -12*j**2 - 17*j + 1. Is h(-6) prime?
True
Let y(x) = 543*x**2 + 44*x + 3. Is y(-8) a prime number?
True
Suppose 0*v + 14 = 2*v - 5*n, 0 = 2*v + 3*n + 2. Is 397/(4/8*v) a prime number?
True
Suppose 5*j - 23 = 3*x, 2*j - 2*x - 10 = -x. Suppose z - 6 = j. Suppose -388 = 9*o - z*o. Is o composite?
False
Let a = 158 - -33. Let g = -1847 - -1851. Suppose g*f - a = -h + 1546, -f = -h + 1762. Is h prime?
False
Suppose 5*k + u = -2*u + 11, 5*k = 3*u + 29. Suppose -2*c + 8 = 0, 4*r + k*c = 6*c. Suppose 0 = -s - r*s - 3*i + 3141, -3*s + 4*i = -3155. Is s composite?
False
Let l(i) = 8*i**2 - 2*i - 7. Let t(p) = 2 + 1 + p - 5 + 1. Let u be t(-5). Is l(u) prime?
True
Suppose -11 = -3*i + 1. Let z(l) = 7*l**2 - i*l**2 + 4*l**2 + 5 + 7*l. Is z(6) composite?
True
Let l(b) = b**3 - 2*b**2 - 15*b + 42659. Is l(0) a prime number?
False
Let r(y) = 690*y**2 - 32*y - 31. Is r(-1) a prime number?
True
Let q = 54 - 49. Suppose -q*d - 4*s = -4689, 0 = 5*d - 0*s + 3*s - 4688. Is d a prime number?
True
Suppose 4*g + 5*v + 386 - 5815 = 0, -4*v - 2734 = -2*g. Is g prime?
True
Let w = -2495 + 7774. Is w a prime number?
True
Let x(u) = 8*u**3 - 5*u**2 - 25*u + 117. Is x(8) composite?
True
Suppose 3*d - 4*s = 589, -4*d + 672 = -4*s - 112. Suppose d = 16*q - 19*q. Is 3/2*(9 - q) prime?
False
Let b = 79 + -80. Is 1630/10*(2 + b) a prime number?
True
Let p be (-48)/(-22) + (-6)/33. Suppose 2*m + m + p*f = 111, -3*m + 120 = -f. Suppose m = 2*g - q, 118 = 5*g + 5*q + 28. Is g prime?
True
Let x(h) = -2*h**3 - 5*