mposite?
True
Suppose 189 = 3*m - 4*t, 3*t - 143 = -0*m - 2*m. Is m prime?
True
Suppose 2*t + 2*t = -8. Let b be (2/t)/((-2)/6). Suppose -107 = -6*j + 3*j - 5*v, -b*v = 2*j - 71. Is j prime?
False
Let j = 47 + 20. Is j a composite number?
False
Let d be (-122)/18 + 8/(-36). Let n(c) be the second derivative of -c**4/12 - 13*c**3/6 + 7*c**2/2 + 2*c. Is n(d) a composite number?
True
Let w be 14/6 + 4/6. Let z be (1 - 0) + -1 + w. Suppose 2*c = 3*f - 59 - 138, f + z*c - 73 = 0. Is f prime?
True
Suppose -2*p - 1 = 7. Let q be (p/(-2))/1 - 57. Let u = 22 - q. Is u composite?
True
Let z be 64/6 - 14/21. Is ((-835)/z)/(1/(-2)) a composite number?
False
Let g(f) = f + 6. Let k = -4 + -4. Let x be g(k). Is ((-31)/(-2))/(x/(-4)) composite?
False
Suppose 0 = 8*m - 2*m - 3786. Is m a prime number?
True
Let c = -1 + 2. Let q = 1 - c. Let x = 2 - q. Is x prime?
True
Let a = -85 + 894. Is a a prime number?
True
Let d(o) be the third derivative of o**5/60 + o**3/3 + o**2. Let t be d(0). Is -12*(-3 + t) + 1 composite?
False
Let y = 731 - -87. Is y a composite number?
True
Let w(m) = m**3 - 7*m**2 - 8*m + 5. Let c be w(8). Let q(z) = z**2 - 5*z + 7. Let p be q(c). Is (-2)/p + (-3357)/(-63) composite?
False
Let r = -82 - -141. Is r prime?
True
Let s(v) = -v**2 + 51. Is s(0) prime?
False
Is 2 + -1 + 128 + -2 composite?
False
Let r = 2 - 2. Let o(n) = 15*n**2 + n - 1. Let x be o(1). Suppose r = -s + 64 + x. Is s composite?
False
Suppose 2 = r + r. Suppose -r = 4*t + 7. Is t + 2 - (-52 - 1) a prime number?
True
Let l(j) = j**2 + 31. Let p(m) = m**2 + 9*m. Let b be p(-9). Let w be l(b). Suppose w = 5*q - 414. Is q composite?
False
Let z be 3 - (-3 + 4 + 0). Suppose 3*w - 517 = -2*w + z*l, 0 = 4*w - 5*l - 417. Is w a composite number?
False
Suppose 2*r = -n + 5*n - 338, -4*r = -3*n + 261. Is n a prime number?
True
Let z(g) = g**3 + 10*g**2 + 7*g - 3. Is z(-4) composite?
True
Let a(k) = -8*k - 7. Let f(z) = -25*z - 20. Let b(v) = -v + 7. Let q be b(10). Let r(i) = q*f(i) + 10*a(i). Is r(-9) a prime number?
False
Is ((-37)/4)/(-4*(-1)/(-16)) composite?
False
Let o = 1 - 7. Let v be (-3)/(-2)*(-40)/o. Suppose -3*c - 9 = 0, -50 + v = -q + 3*c. Is q prime?
True
Let s = -12 + 9. Let j be 3/2*(-1 - s). Suppose -j*h - 6 = -297. Is h a prime number?
True
Let u(l) = -l**3 + 15*l**2 + 12*l + 2. Let m be u(16). Let r = m - -195. Is r a composite number?
True
Is 10*(-148)/8*-1 composite?
True
Suppose 4*p - g = 4*g + 41, 0 = -4*p - g + 11. Let a(u) = u**2 + u + 9. Let j(y) = y. Let o(b) = p*j(b) + a(b). Is o(-6) a composite number?
True
Suppose -2*r + 11100 + 2738 = 4*g, g - 2*r = 3447. Is g composite?
False
Is (-118173)/22*2/(-3) composite?
False
Let i be 1 + -3 - (-1 - 5). Suppose -2234 - 1210 = -3*d + 4*v, 4592 = i*d + 2*v. Is 1/3 + d/21 a prime number?
False
Suppose 7*l + 24 = 3*l. Let x be l/(-4) - (-122)/(-4). Let r = 66 + x. Is r composite?
False
Let a(k) = -k**3 + 7*k**2 - k. Let o be a(-6). Is 3 - 1/((-3)/o) a composite number?
True
Suppose -v = -2*n + 1, 3*v + 2*v = 5*n + 5. Let h(p) = -7*p + 7 + 0*p + 2*p**3 + 8*p**n - 3*p**3. Is h(5) prime?
True
Let y be (3/1)/((-18)/12). Is 2346/8 + y/8 a composite number?
False
Suppose o - 5*q + q = 73, -116 = -2*o + 2*q. Is o prime?
True
Suppose -2*g - 25 + 143 = -4*y, 4*y + 3*g + 123 = 0. Let z = y - -61. Is z prime?
True
Let i(j) = -5*j**3 + 8*j**2 - 3*j + 1. Let a(x) = 1. Let u(h) = 6*a(h) - i(h). Is u(6) prime?
False
Let w be 409/(-3) + 7/21. Let f = w - -213. Is f prime?
False
Let h(s) = -s**3 + 2*s**2 - s + 2. Let n be h(2). Suppose 0*f + f - v - 4 = n, -2*v + 4 = 2*f. Is (f - 1)*455/14 a composite number?
True
Let p be (3 + 35)/(2/8). Let v = -93 + p. Is v a composite number?
False
Let k(h) = 1339*h**2 - h - 3. Is k(-1) a prime number?
False
Suppose -6*p + 8*p = 298. Is p prime?
True
Let m = 28 + 9. Is m prime?
True
Suppose j + 73 + 2153 = 0. Is j/14*(-4)/6 a composite number?
True
Let p(d) = 6*d - 4. Let g(t) be the first derivative of -t + 1. Let h(w) = -5*g(w) + p(w). Is h(1) a prime number?
True
Let d(q) = 2*q**2 - 5*q - 11. Is d(-6) a prime number?
False
Suppose -c = 3*c + 36. Let m = 170 - c. Is m a composite number?
False
Let z(y) = -y**2 - 8*y - 8. Let x be (0 + (-6 - 1))*1. Let r be z(x). Is r/3 + 79/3 composite?
True
Let p = 58 - 35. Is p a composite number?
False
Let d(x) be the second derivative of 0 - 2*x + 1/2*x**3 - 1/20*x**5 + 3/2*x**2 - 1/6*x**4. Is d(-3) a composite number?
False
Let z be (-2)/4 - (-2175)/(-6). Let y = 216 + z. Is ((-4)/6)/(2/y) a composite number?
True
Let w(j) = 136*j - 3. Is w(5) a prime number?
True
Let u = -3 - -3. Let n(w) = -w**3 - w**2 - w + 22. Let y be n(u). Suppose 0 = -0*x - 2*x + y. Is x a prime number?
True
Suppose 0*l - 4 = -5*l + 2*b, 0 = 2*l - 5*b + 11. Let i(j) = j - 2*j - j**2 + 2*j**l + 4 + j**3. Is i(3) prime?
True
Suppose 3*y + 6 = 0, 5*z + y = 4*y + 46. Suppose -l + z + 7 = 0. Is l prime?
False
Let a be 4/(-6) + 20/3. Let t be (a/(-4))/((-6)/8). Let p(m) = 38*m + 1. Is p(t) a composite number?
True
Let x(g) be the first derivative of 1 + 1/2*g**2 - 1/3*g**3 + 9*g. Is x(0) a composite number?
True
Suppose -695 = 12*h - 17*h. Is h composite?
False
Let u(f) = -11*f + 3. Let t(z) = -17*z + 4. Let h(x) = -5*t(x) + 7*u(x). Is h(4) a prime number?
False
Suppose j + 3 = 2*j. Let p(o) = 0*o**3 - 1 - o**j - 1. Is p(-3) composite?
True
Let c = 927 + -103. Is c/18 - 2/(-9) a prime number?
False
Let b be 1/(((-2)/154)/(-1)). Suppose 335 = 4*v - b. Suppose 0 = -2*c + 87 + v. Is c a composite number?
True
Let j(f) = -4*f**2 - 3. Let s be j(-5). Let t = 180 + s. Is t composite?
True
Let w = -28 - -119. Is w composite?
True
Suppose -4*v + 3*v + 21 = -4*y, 21 = v + 5*y. Let w = 56 - v. Is w a composite number?
True
Suppose 0 = -t + 2 - 1. Is (-363)/(-9)*(t + 2) a composite number?
True
Let z(s) = -21*s**3 + s**2 - 1. Let k(c) = -2*c - 4. Let g be k(-3). Suppose g*d - 5*r - 1 = -2*d, -d = -r. Is z(d) composite?
True
Let m = -14 - -24. Is m/15 + (-800)/(-6) a prime number?
False
Let z(p) = -5*p + 4. Let u(n) = n**3 + 4*n**2 - 4*n + 4. Let i be u(-5). Let g = -2 + i. Is z(g) composite?
False
Let o = -10 - -1. Is (-3)/o + 460/6 a composite number?
True
Suppose -2*h - 3*n = -3, 3 = 4*h + 3*n - 0. Suppose h = y - 4 - 1. Suppose -74 = -7*p + y*p. Is p prime?
True
Suppose 69 + 26 = o. Suppose t + o = 6*t. Let x = t - -38. Is x prime?
False
Let f(w) = 4*w**2 - 4*w + 4. Let h be f(7). Let u = 119 - h. Let t = u + 76. Is t a composite number?
False
Suppose -3*r - 3692 = -5*b - 0*b, 0 = r - 1. Is b a prime number?
True
Let z = 694 - 455. Is z prime?
True
Let c = -447 + 2102. Is c prime?
False
Let l(s) = 7*s. Let q be l(-1). Let p = q - -10. Suppose 1 = i - p. Is i a prime number?
False
Let w be -124*(-2 + 20/8). Let t(d) = -116*d**3 - d. Let z be t(-1). Let s = w + z. Is s a composite number?
True
Let l = 335 - 84. Is l a prime number?
True
Let y(i) = -i - 2. Let z(h) = 4*h + 8. Let v(l) = 9*y(l) + 2*z(l). Let n be v(-2). Suppose n*k + 2*k = 154. Is k composite?
True
Suppose 0 = 3*g - 47 - 292. Suppose -4*q = 5*k + 82, 2*q = -3*q - k - g. Let m = 37 + q. Is m composite?
True
Let v(x) = -x**2 + 6*x - 3. Let f be v(5). Suppose 5*r + 3*n - 1277 = 0, -173 + 699 = f*r + 5*n. Is r a composite number?
True
Let t(v) = -13*v - 1. Let s(h) = -2*h - 3. Let j be s(-4). Suppose 5*f - 3*m - 24 = -60, -4*f + j*m = 34. Is t(f) a prime number?
False
Let n(m) = m + 1. Let v be n(3). Let u be v/(-6) + (-2776)/(-6). Is -1*(u/(-2))/3 a prime number?
False
Let f(x) = -x**2 - 5*x + 2. Suppose 3*s = 2*s - 5. Let m be f(s). Is 82/2 - (-4)/m a composite number?
False
Suppose -5*j - 294 = 96. Let n = -51 - j. Let s = n + -8. Is s a prime number?
True
Suppose 6*g - g = 0. Suppose i + i - 4 = g. Suppose 0 = -i*z - z + 387. Is z a composite number?
True
Let c(v) be the first derivative of -1 + 0*v**2 + 23/3*v**3 + 0*v. Is c(-1) prime?
True
Let u(x) = -x**2 - 12*x - 14. Let c be u(-10). Let q(s) = 2*s**3 + 7*s**2 + 6*s - 3. Is q(c) prime?
False
Let j(z) be the third derivative of -z**4/12 + z**3/6 - 3*z**2. Let y be j(-8). Suppose -2*q + y = x + 3*q, -29 = -x - 2*q. Is x a composite number?
False
Let f(x) = x**2 - 3*x + 4. Let m be f(3). Suppose -m*o = -283 - 225. Is o composite?
False
Suppose -l = 4*m - 455, 4*m - 470 = -0