ber?
True
Let c(d) = 18*d**2 + 2*d + 15. Is c(7) a prime number?
True
Let t be 72/7 - (-2)/(-7). Let g = 23 + t. Is g a composite number?
True
Let p(k) = 29*k - 6. Let y be p(5). Suppose 0*j = -4*j - 4, y = 4*i + j. Suppose r - i = -h, 4*r + h = -h + 140. Is r a prime number?
False
Suppose -3*w + 301 = 5*j, 0*w = -w - j + 99. Let c = w - 32. Is c a prime number?
False
Let q = -11 + 3. Let u(y) = y**2 - 19*y - 7. Is u(q) composite?
True
Suppose -2*w + 4*w + 108 = 0. Let m(c) = -5*c**3 - c**2 - c - 2. Let z be m(3). Let n = w - z. Is n a composite number?
True
Let b = 180 + -19. Is b a composite number?
True
Suppose 3*f = -3*k + 30, 29 = -5*k - 3*f + 69. Suppose -3*t = 0, 2*j + 2*j - 3*t - 136 = 0. Suppose -j - 41 = -k*l. Is l composite?
True
Let w = 7 + -2. Suppose -x - w = -2. Is x - -74*1/2 prime?
False
Is ((-3687)/3 + 1)*(-1)/4 composite?
False
Suppose -2*t - 3*t - z + 632 = 0, -3*t - 4*z + 369 = 0. Is t prime?
True
Suppose -2*k + 360 = 3*k. Let d = k - 51. Is d prime?
False
Let d(k) be the third derivative of -k**4/3 + k**3/2 + k**2. Suppose 0 = -5*y + 3*i - 11, -y - 14 = 4*y - 2*i. Is d(y) composite?
True
Is (-2226 - 6/2)/(-3) prime?
True
Suppose 0 = -4*z - 5*q + 249 + 938, -z + 2*q + 313 = 0. Is z a prime number?
False
Let s = -722 - -90. Let u = 1071 + s. Is u prime?
True
Let c = 9 - 16. Let v = -5 - c. Suppose -3*f = v*w - 5*w + 237, 3*w - 237 = -3*f. Is w a prime number?
True
Let m = 17 - -104. Is m prime?
False
Is (-1 - (-14)/4)*46 composite?
True
Let l = 112 + 591. Is l prime?
False
Let j(r) = 12*r - 1. Let d be ((-14)/21)/((-1)/3). Is j(d) prime?
True
Let m(g) = 2*g**2 + 6*g - 4. Let a be m(5). Let i = 127 - a. Is i composite?
True
Let b = 8 + -5. Let m(w) = 4*w**2 - 2*w**2 - 52*w**b + w + 0*w**2. Is m(-1) a composite number?
False
Suppose -6*b + b = -2*h + 107, 47 = -2*b + 5*h. Let i be (-6)/(-4)*112/b. Is (-4)/(-16) - 310/i a prime number?
False
Suppose 2*g = c + g - 36, -c = -4*g - 39. Let p = c + -12. Is p a composite number?
False
Suppose 4*j + 0*j + 13 = -5*v, -j = v + 3. Let i = v + -1. Let c(t) = -9*t - 3. Is c(i) composite?
True
Let b be 2/(-10) - (-28)/(-35). Let y(h) = -190*h + 1. Is y(b) prime?
True
Let f(o) = -o**3 + 4*o**2 - 5. Let g be f(4). Let m(i) = -i**2 - 4*i + 6. Let p be m(g). Is 2*p + (-35)/(-5) composite?
True
Suppose 8*l + 1720 - 5216 = 0. Is l composite?
True
Let r be 2*17*(-60)/8. Let w = -128 - r. Is w a composite number?
False
Let m(g) = -g - 5. Let z be m(-5). Let u(t) = t + 39. Is u(z) prime?
False
Suppose 3*t + 69 = 2178. Is t prime?
False
Suppose 3*z - 1261 = 2*v + 1515, -4*z - 5*v + 3663 = 0. Is z a prime number?
False
Suppose 0 = 2*w - 5*w - 3*x + 1632, -5*w - 4*x = -2717. Is w composite?
False
Suppose -4*r + 20 = -0*r. Let m(h) = 12*h - 7. Is m(r) prime?
True
Is 2/(-4 - -3) + 747 prime?
False
Suppose -a + 3*a = 82. Suppose -4 = -v, -3*b - 2*b = 4*v - a. Suppose -b*g + 5*s = -215, -g + 0*g = 3*s - 43. Is g prime?
True
Suppose -4*o = -4*x - 20844, -5*x - 2089 = -o + 3130. Is o a composite number?
False
Let t(z) = 4*z**2 + 4*z - 6. Is t(-5) a composite number?
True
Suppose 0 = -2*t + 10, -3*t = 4*r - 222 + 79. Suppose -5*a - r = -82. Is -1 + a*(-1 - -3) prime?
True
Let d(c) = -c + 4 + c**2 + 0*c + 0*c**2 + 0*c**2. Is d(0) composite?
True
Let b be ((-4)/(-2))/((-4)/(-570)). Let f be -1*1302/((-12)/4). Let s = f - b. Is s composite?
False
Let t = -109 + 1116. Is t composite?
True
Suppose -4*k + 123 + 33 = 0. Is k a composite number?
True
Let z(j) = 3*j**2 + 4*j + 12. Let i be z(-9). Suppose 326 + i = 5*v. Is v a composite number?
False
Let w be (-2)/(-7) + 222/7. Let d = -7 + w. Is d a composite number?
True
Let x(o) = 1. Let u(g) = 3*g + 12. Let q(k) = u(k) - 15*x(k). Let n be q(5). Let z = n + 7. Is z a prime number?
True
Suppose -101 = -4*f + 463. Is f a prime number?
False
Let j(x) be the third derivative of -7*x**4/12 - 5*x**3/6 + 4*x**2. Is j(-6) composite?
False
Let i(s) = 117*s + 11. Is i(4) a composite number?
False
Let t(w) = w**2 + 4. Let l be 38/6 - 28/(-42). Is t(l) a prime number?
True
Let w(y) = -20*y - 3. Let c be (6/4)/(6/16). Suppose 4*z + 5 = -5*s - 18, 5*z + c = 2*s. Is w(z) a composite number?
False
Suppose -4*h - 15 = 17. Let p be (-232)/(-6)*12/h. Let z = p + 147. Is z composite?
False
Let z(g) = 96*g**2 - 2. Is z(-2) prime?
False
Let q(x) = 44*x - 29. Is q(19) prime?
False
Suppose 270 = 4*r - 2*r. Let h be ((-11)/3)/(5/r). Let k = h - -178. Is k a prime number?
True
Let b = 46 - 6. Suppose 42 = g - 5*o, 2*g - o = -2*o + b. Is g a prime number?
False
Suppose -2*c - 3*c + 175 = 0. Suppose -5*m + d = -70, -7*m + 5*d = -3*m - c. Is m prime?
False
Let w(j) = 9*j + 3. Let h be w(-4). Let q(u) = -u**3 + 9*u**2 - 3*u + 6. Let r be q(8). Let l = r + h. Is l a composite number?
False
Is 1/(-2)*0 + 10 a composite number?
True
Suppose 3*b - 2*p - 93 = 0, 8 = b - 3*p - 23. Is b composite?
False
Let n be (-8)/6*(-3)/2. Let c be (n - 2)/(-1*1). Suppose y - 21 - 2 = c. Is y a composite number?
False
Suppose -5*x - 7 + 2 = 0. Let i be x*0/(-2 + -1). Suppose 3 = c + z - 4*z, i = c - 2*z - 3. Is c a composite number?
False
Suppose -3*x + 5*k - 222 = 0, k + 3*k = 0. Let a = 75 - x. Is a composite?
False
Let u(w) = 29*w**2 + 2*w - 1. Let i be u(1). Is (i/8)/((-2)/(-8)) a prime number?
False
Let b(d) = 28*d**2 + 2*d + 35. Is b(-13) a prime number?
False
Let u = 6 - 3. Suppose u*j = -j + 84. Is j composite?
True
Let r = -123 - -214. Let j be 144*1/(-5)*-5. Let h = j - r. Is h prime?
True
Let f(q) = 2*q**3 + 6*q**2 - 1. Let g(z) be the first derivative of -z**4/2 - 5*z**3/3 + z**2/2 - 3. Let u(m) = -3*f(m) - 4*g(m). Is u(2) prime?
True
Suppose -131 = 4*o - 5*o. Is o a prime number?
True
Let s(n) = -n**3 - 3*n**2 + 3*n - 1. Let a be s(-4). Suppose 0 = r - a*t - 70, -r + 4*t = -54 - 21. Is r a prime number?
False
Let g(u) = u**2 + 5*u + 5. Let v be g(-5). Suppose -v*y = -3*y - 104. Suppose 5*w = 118 + y. Is w prime?
False
Let u(z) = -6 + 9 + 41*z + 2. Is u(6) composite?
False
Let b = -157 - -230. Let w = -40 + b. Is w a prime number?
False
Let s be (-2)/7 - (-138)/42. Suppose -4*o + 4*i = -i - 46, 2*i - 46 = -s*o. Suppose 5*z + 2*l - 58 = 0, 3*z - o = 3*l + 4. Is z a prime number?
False
Let f = 1 - 3. Let j be 5*(0 + -1) - f. Let d(z) = -3*z**3 - z**2 - 5*z - 2. Is d(j) prime?
False
Suppose -1420 = -2*a + 2*c, 0 = -a - a + 4*c + 1426. Is a a prime number?
False
Suppose 203 = 2*h - 551. Is h prime?
False
Let f(l) = -5*l**3 - l**2 - l - 1. Suppose 3*b - u + 4 = -2*u, 3*u = 4*b + 1. Let v be f(b). Suppose 3*s - v*w - 97 = 0, w = -4*s - 3*w + 176. Is s prime?
False
Suppose -2*x + 1278 = 196. Is x composite?
False
Suppose -4*o = -4*t - 516, 5*o = 3*o - t + 264. Let i = 220 - o. Is i prime?
True
Let t = -413 + 2328. Is t a prime number?
False
Let t(n) = 10*n - 3. Let j be t(6). Suppose -u - 2*u + 31 = b, 3*b - j = 3*u. Is b a composite number?
True
Let v(s) = s**3 - 13*s**2 + 5*s - 4. Let i be v(8). Let l = i + 403. Is l a composite number?
True
Suppose 3*n = -15 - 3. Is ((-228)/15)/(n/15) a prime number?
False
Is 485 + (12/(-3) - 0/(-5)) prime?
False
Let u(o) = -o**3 + 8*o**2 + 9*o + 3. Let r be u(9). Let d(y) = 4*y**2 - 3 + r*y + y**2 + y - y**3 - 2*y**2. Is d(3) prime?
False
Let f be 1/2 - 1/2. Suppose -h - 4*h + 1070 = f. Is h prime?
False
Let x = -360 - -707. Is x prime?
True
Suppose 290 = -v + 3*v. Is v prime?
False
Suppose 5*v = 4*g - 1170, -2*g - 5*v = -5*g + 875. Is g a composite number?
True
Let f be 6/(-21) - 30/(-7). Suppose 5*d = -f*r + 39, 4*d + 2*r = -0*r + 36. Is d prime?
True
Let o(s) = s + 37. Is o(0) a prime number?
True
Let a be (16 - 1)/3*1. Let o = 10 - a. Suppose -t = 3*w - 18 - 13, -119 = -o*t + 3*w. Is t prime?
False
Suppose 5*y - 7*y - 298 = 0. Let m = y - -616. Is m a prime number?
True
Suppose -l + 2*a = -2*a - 127, -5*a + 254 = 2*l. Is l a prime number?
True
Suppose 3*n = -n + 20. Let k = 20 + n. Is k a composite number?
True
Let j(h) = h**2 + 4*h - 2. Let d be j(-5). Suppose p - 239 = -2*t, 4*t - 1183 = -2*p - d*p. Is p prime?
False
Let h = 208 + -29. Is h a prime number?
True
Suppose -7*g + 2*g + 25 = 5*k, -11 = -4*k - g. Suppose 5*c - 4*u = 334, -5*c + 214 = -k*c + u. Is c/2 - (-3 - -1) a prime number?
True
Suppose 4*t = 3*t - 8. Let k be (30/t)/((-3)/8). Suppose -3*a + 67 