prime?
True
Suppose -y = 2*x - 21, 3*x - 5*y + 7 = 58. Let p be (x/10)/((-12)/320). Let a = p + 57. Is a prime?
False
Suppose 6656 = 4*n - p - 2*p, -4 = p. Is n prime?
False
Suppose -2*y = 3*z - 1487, -2*z + 0*y - y + 990 = 0. Is z a prime number?
False
Suppose -4*j - 10*j = -6342. Is j prime?
False
Let p(v) = v**3 - v + 41. Let z be p(0). Let c = z - 10. Is c a prime number?
True
Let f = 291 + 886. Is f prime?
False
Let p = -3 - -3. Let l(t) = -t + 21. Let h be l(p). Suppose -f + 4*f = h. Is f a prime number?
True
Is 3 + -3 - (-7731)/3 a composite number?
True
Let h(l) = 4*l**2 + 2*l - 4. Is h(3) a composite number?
True
Let a = 4 + -1. Let f be (a/(-6))/(3/(-36)). Suppose 2*n + 4*b - 24 = -f, -4*b - 15 = -n. Is n prime?
True
Let z(f) = 4*f**3 + 2*f**2 - 10*f + 4. Let m(y) = -y**3 - y**2 + 3*y - 1. Let u(o) = 7*m(o) + 2*z(o). Let j be u(3). Suppose 0*g = j*g - 8. Is g composite?
False
Suppose 2*m - 3 = 1, -3*t - 2*m = -331. Is t prime?
True
Suppose -1568 = -4*a - 4*x, 4*x + 2 - 14 = 0. Is a a composite number?
False
Let r be (2 + 102)/(2/5). Suppose 3*o = j + 144, -5*o + r = 2*j + 3*j. Is o a prime number?
False
Let g = 8 - 6. Suppose 3*x = -5*q - 8 + 25, -5*x + g*q + 80 = 0. Is x a prime number?
False
Suppose 5*v - 45 = -0*v - 5*i, 0 = v - 2*i. Suppose 8*r = 3*r + 4*h + 42, 0 = -2*h - v. Is r composite?
True
Suppose 2*s + 2*v + 3 = 1, 0 = s + 5*v + 17. Let j be (0 + s + 0)*30. Is ((-2)/4)/((-3)/j) composite?
True
Let u(y) = -y + 5. Suppose -9 = c - 4*c. Let s be u(c). Suppose s*h + 69 = 3*h. Is h composite?
True
Suppose 0 = -f + 3*u + u - 15, 0 = 4*u - 20. Suppose k + 2*v + 13 - 36 = 0, f*k = -2*v + 99. Is k a prime number?
True
Let b be ((-2)/1)/(1/(-2)). Suppose n = b*n - 6. Suppose n*u = 6*u - 308. Is u a prime number?
False
Suppose 506 = 3*g - 442. Suppose 0*v + 4*v - g = 0. Is v composite?
False
Let x = 13 - 9. Suppose -x*g - 4 = -12. Suppose 46 - 114 = -g*d. Is d a composite number?
True
Let l be 3 - (166 - -1 - 1). Is l/(2*(-2)/4) a composite number?
False
Suppose 3*t + 195 = 4*t - 5*x, t = -4*x + 177. Is t composite?
True
Suppose -5*l - 4*t = -1575, 5*l + 3*t = 1945 - 365. Is l composite?
True
Let b be (39 - -1) + 2/2. Let k = b - -5. Is k prime?
False
Let m be (7/3 + -2)*-3. Let y be (m/2)/(1/8). Is 580/6*(-6)/y a prime number?
False
Suppose a + 5*u = 218, 0 = 3*a - 2*u - 2*u - 597. Suppose -a = 3*k - 1442. Is k a composite number?
True
Let u(q) = q**2 - 1. Let w(x) = x**3 + 2*x**2 - 3. Let l(s) = -4*u(s) + w(s). Let d be l(1). Suppose 2*b - 437 + 67 = d. Is b composite?
True
Let g(p) = -p**3 - p**2 - p - 3. Let q(n) = -n. Let t(o) = -g(o) + 4*q(o). Is t(2) composite?
True
Let s(d) = 5*d**2 - 5*d - 5. Let v = -21 + 0. Let m be 111/v + (-6)/(-21). Is s(m) a composite number?
True
Let r be 0 - -1 - (-3 - 0). Suppose 2*q - 1734 = 4*t - 8*t, r*t - 1736 = -4*q. Is t/5 + 4/10 composite?
True
Let o(w) = -w - 2. Let x be o(-4). Let k(h) = -1 + 0 - x + 5 - 10*h. Is k(-2) a composite number?
True
Suppose -2*s + 8143 + 563 = 4*q, -2*q + 4352 = 2*s. Is q a composite number?
True
Let g(b) = b**3 + b**2 - 5*b + 4. Let k = -2 - 4. Let i = k - -9. Is g(i) composite?
True
Let t(c) = -65*c**3 + 2*c**2 - 1. Let r be t(-1). Suppose 4*z = 4*u - 2*u - r, 5*z + 20 = 0. Is u composite?
True
Suppose 2*n - 14090 = -0*n. Is n prime?
False
Let l(m) = m**3 - m**2 - 19*m + 8. Is l(6) composite?
True
Suppose 2 = -0*g + g. Let u(x) = 3*x - 10. Let n be u(7). Suppose g*o - n = 17. Is o composite?
True
Let y = 5 + 25. Let o = 21 + y. Is o a composite number?
True
Let k be 0/3 - 81/(-3). Suppose 3*s - k - 757 = -2*t, -t = -4*s + 1049. Suppose -q + s = q. Is q prime?
True
Let t(m) = -6*m**2 + 2*m + 2. Let a be t(-1). Let b(o) be the second derivative of -o**5/20 - o**4/4 + 3*o**3/2 + 5*o**2/2 - o. Is b(a) a prime number?
True
Suppose 4*w - 10 = 2. Suppose 5*y - w*x = 294 + 1570, 0 = -2*y - x + 739. Is y a composite number?
True
Let p = 6 - 4. Suppose 0*a + p = -a, -l + 123 = -2*a. Is l a composite number?
True
Let n(y) = -y**3 - y**2 - 4*y + 7. Is n(-8) a prime number?
True
Is ((-502)/(-3))/(14/21) composite?
False
Let q(s) = -s**2 - 7*s - 4. Is q(-5) composite?
True
Let g(j) = -j**3 + 5*j**2 - j + 2. Let q be g(5). Is q/(((-12)/(-2348))/(-1)) a prime number?
True
Let t = -274 + 489. Suppose 17 = 4*b - t. Is b prime?
False
Let h(s) = -970*s**3 + s**2. Is h(-1) prime?
True
Let m(v) = 4*v**2 - 2*v + 7. Let r(g) = 3*g - 5*g**2 - 3 - 1 - 4. Let z(u) = -6*m(u) - 5*r(u). Is z(7) prime?
False
Suppose -2314 = 5*h - 14074. Let z be ((-2)/(-4))/((-2)/(-8)). Is z/6 + h/18 a composite number?
False
Suppose 0*v - 4 = -2*v. Let s be -2 + 2/((-6)/(-147)). Suppose v*q = -5*o + 258 - 63, s = o + 2*q. Is o prime?
True
Let z(w) = -17*w - 1. Let k(c) = 35*c + 2. Let x(o) = -6*k(o) - 13*z(o). Is x(3) a prime number?
False
Let j(m) = -m + m - m - m - 7. Let c be j(-5). Suppose -h - c*s - 2*s = -35, -s = h - 35. Is h prime?
False
Let g(d) be the first derivative of -7*d**2/2 + 3*d + 4. Is g(-4) a prime number?
True
Is 7863/12 - (-2)/(-8) composite?
True
Let g = -7 + 9. Suppose g*z = -z + 381. Is z a prime number?
True
Let m(i) = 4*i**2 - 6*i - 5. Let b(q) = 3 - 4 + 0*q + 0 - q. Let v(l) = -2*b(l) + m(l). Is v(-2) a composite number?
True
Suppose 4*o = -4*r - r + 3337, 2*r + 4*o - 1330 = 0. Is r prime?
False
Let u(a) = 27*a**3 - 2*a - 1. Suppose 0*l = 3*l - 6. Is u(l) prime?
True
Let y(o) = -31*o**2 - 6*o + 1. Let s be y(5). Is 1/((-4)/s - 0) composite?
True
Let z = -1277 - -2139. Is z composite?
True
Is 1*(-1 + (162 - -2)) a prime number?
True
Let p(k) = 29*k**3 - 4*k + 2. Let v be p(1). Suppose b + 53 = 3*t, -5*t - 2*b + 87 = -4*b. Let r = t + v. Is r a prime number?
False
Suppose s + 14 = -2*z + 88, -2*s + 5*z + 166 = 0. Let b = 210 - s. Let h = b + -17. Is h prime?
False
Suppose 0 = 5*z - 5*u - 1675, 0*z + 345 = z + 4*u. Let v = z - 102. Is v composite?
True
Suppose -6*z - 5*t = -2*z - 15, 0 = -2*z - 4*t + 12. Let q = -6 + z. Is ((-132)/9)/(q/9) a composite number?
True
Let a = 1932 - -1223. Is a composite?
True
Let n(m) = 87*m**2. Let x be n(-1). Suppose 0 = g - 2*s - 23 + 67, 3*s = -9. Let l = g + x. Is l a prime number?
True
Suppose -i + 440 = 5*j, 0 = -4*j - 7*i + 3*i + 368. Is (-3)/(-9) - j/(-9) a composite number?
True
Suppose -583 = -3*g + 644. Is g a composite number?
False
Let p = -21 + 15. Let h(w) = w**3 + 11*w**2 - 5*w + 1. Is h(p) a prime number?
True
Let l(y) = -y**2 + 26*y. Is l(13) composite?
True
Let p(f) = 24*f**2 + 12*f + 17. Is p(8) prime?
False
Is (-2582)/(-8) + 1/4 composite?
True
Let b = -141 + 268. Is b prime?
True
Suppose 12 + 2 = -b + 4*h, 4*h - 16 = 0. Suppose -b*r = -0*r - 138. Is r composite?
True
Let b be 6/4*(-60)/9. Let n be 3/(-5) - (-4)/b. Is 36/(-6)*(0 + n) prime?
False
Suppose -2*b + 5 = 3*b. Suppose n + 6*d - 4*d - 12 = 0, -5*n = -5*d + 15. Is (0 + n)/b - -23 composite?
True
Suppose u + u = 0. Suppose 2*w - 3*j - 61 = u, 5*w = -0*j + 5*j + 160. Is w a prime number?
False
Let v(t) = t - 3. Let k be v(6). Suppose -2*w + 570 = k*w. Suppose 4*b - 2*b - w = 0. Is b composite?
True
Is (-2 + 3)/(4/748) a prime number?
False
Let y(k) = -27*k - 4 + 0 + 0. Is y(-11) composite?
False
Is 2*2*(-18)/(-18) composite?
True
Suppose 75 + 74 = p. Is p a composite number?
False
Let c(m) = 3*m**3 + 3*m**2 + m + 4. Is c(3) composite?
True
Let u(s) = -s**3 + 5*s**2 - 3*s - 4. Let x be u(4). Suppose 2*a + 6 = 0, x*b + 5*b = a + 158. Let z = 28 + b. Is z a composite number?
False
Let k be (-304)/6 + (-2)/6. Let h be (0 - 115) + (-48)/16. Let b = k - h. Is b a composite number?
False
Suppose -5*k + 4754 = -1611. Is k a prime number?
False
Suppose 2*s + 2*s = 5*f - 8273, -s = -3*f + 4968. Is f a prime number?
True
Let q = 1 + 7. Let j(d) = -2 + q*d**2 - 2*d**2 + 2. Is j(-1) a composite number?
True
Let q(v) = v - 6. Let g be q(9). Suppose -g*h - 31 = -r, r + 4*h - 3 = 56. Is r/4 + 4/16 a composite number?
False
Let w = 11 - 7. Let s(r) = -r**3 - 7*r**2 - 8*r - 5. Let o be s(-6). Suppose o*m = -w*v + 3*m + 60, -75 = -5*v - 2*m. Is v composite?
True
Suppose 2*i = i + 20. Suppose 2 = -3*f + 2*s + 22, -5*s = i. Suppose 240 = 3*p + 3*m, m - f*m + 163 = 2*p. Is p a prime number?
False
Let r = 2 + 1. Suppose 0 = -0*g + r*g - 255. Is g a prime number?
False
Let p be (-1)/(3/(-6 - 