True
Suppose -i - 18 = 16. Let v = 88 + i. Let w = v - 33. Is w a prime number?
False
Suppose -1209 - 1386 = -4*b - 5*z, 5*b - 2*z = 3285. Is b composite?
True
Let w(l) = 2*l - 1. Let m be w(3). Suppose -x + 7 = 2*c, x - m*c = 6*x - 40. Let a = x + 1. Is a composite?
True
Let y(s) = s**3 + 14*s**2 + 4*s + 11. Is y(-12) prime?
True
Let f = -1659 - -3002. Is f prime?
False
Is (-2)/11 + 354604/44 composite?
False
Suppose 8*f - 2*f = 1338. Is f prime?
True
Let n(m) = 26*m**2 - 5*m + 15. Is n(6) prime?
False
Suppose 18*j - 7580 = -2*j. Is j composite?
False
Let a(p) = 373*p + 89. Is a(18) prime?
True
Let u = -6 + 6. Suppose j - 55 = 2*k - u*k, k + 104 = 2*j. Is j composite?
True
Suppose 1 = z - 4. Suppose -o + 21 = z*a, -5*o + 36 = -o + 4*a. Suppose -3*p + 221 = 4*n, o*p - 4*p - 271 = -5*n. Is n composite?
False
Let f = -4 + 4. Suppose -2*v - v + 27 = f. Suppose -j + 23 - v = 0. Is j composite?
True
Is (-2 - 697/2)/(14/(-28)) a prime number?
True
Let z be (-1)/(24/(-25) + 1). Let o = z - -94. Let t = 0 + o. Is t prime?
False
Let p(n) = 3*n - 4. Let v be p(3). Let l be (-5)/10 - (-14)/4. Suppose -45 = -v*m - 4*h + 14, 0 = 5*m + l*h - 63. Is m a composite number?
True
Suppose -4*q + 5 = -b, 0 = -2*q + 2*b - 4*b. Suppose -a = -4*w + q, -4*a = a - w - 71. Is a a composite number?
True
Suppose c = 2*c + 35. Let k be (-10)/c - (-82)/7. Is -1 + 0 - (5 - k) a composite number?
True
Let r = -13 + 9. Let b(u) be the second derivative of -u**3/6 + u**2 + u. Is b(r) composite?
True
Let f = 62 + -36. Is f composite?
True
Let u(x) = x**2 + 3*x - 7. Let s = 2 - 9. Is u(s) a composite number?
True
Let p = -374 + 747. Is p a composite number?
False
Let q(l) = -6*l**2 - 5*l - 10. Let h be q(-9). Let j(c) = 2*c - 10. Let t be j(7). Is (-5)/(-20) - h/t a prime number?
True
Let k = 6 + -5. Suppose -s - 3*s = 388. Is 3*-1 + k - s a composite number?
True
Is (-4258)/(10/(20/(-4))) a composite number?
False
Let k = -799 + 1154. Suppose 4*j - k = 273. Is j a prime number?
True
Suppose -106 = -r + 26. Suppose 3*l = r - 3. Suppose -i + 4 = -l. Is i prime?
True
Let l = -1 - -212. Is l prime?
True
Suppose -19*z + 25304 = -11*z. Is z prime?
True
Suppose -3*f + 90 + 132 = 0. Suppose 5*m - f - 321 = 0. Is m a composite number?
False
Let x = 4071 + 916. Is x prime?
True
Let q = -5 - -5. Suppose q = 3*z - 0*z + 6. Is ((-151 + -1)/2)/z composite?
True
Suppose 0 = a - 4*a + 471. Is a a prime number?
True
Suppose -m = -2*m + 3. Suppose -3*t + 5 = 2. Is 17 - t - (-1 + m) composite?
True
Let l(c) = 3*c**3 + 7*c**2 - 5*c + 2. Is l(5) a prime number?
False
Suppose 8*a = 7*a + 131. Is a prime?
True
Let b(x) = -x + 6. Let j = -5 - -9. Suppose -j*i + 8 = 44. Is b(i) composite?
True
Let s(q) = 4 + q**3 - 2 - 6*q + 1. Is s(4) composite?
False
Let j = -180 + 557. Is j a prime number?
False
Let k = 6 - 8. Let t be 70 + (3 + k)*-1. Suppose -t = 2*q - 4*q + v, -4*q + 173 = 5*v. Is q composite?
False
Suppose -12 = -4*x, h - x - 57 = -0*h. Let b = h - -17. Is b prime?
False
Let a = -156 + 269. Is ((-70)/5)/((-2)/a) prime?
False
Is 840 + (0/(8/2) - 1) composite?
False
Let o(w) = 24*w - 1. Is o(2) composite?
False
Suppose 5*j + 161 = 6*j. Is j a prime number?
False
Let q(p) = -27*p**3 + 4*p**2 - 3*p - 3. Is q(-4) prime?
True
Suppose -5*v - 96 = -4*j, -4*v + 12 = -v. Suppose -5*r + j = 9. Suppose 3*m - 3*h = 8*m - 581, -3*m = -r*h - 337. Is m composite?
True
Let y(m) = 0*m**2 + 1 + 2*m**2 + 2*m + m**2 + 2. Is y(4) a composite number?
False
Let p be 1/(-1 + 0) - -3. Suppose 2*n - 136 = p*v, 2*v - 265 = -4*n - v. Is n prime?
True
Let t(z) = -62*z + 25. Is t(-6) a prime number?
True
Is -34*(-3)/((-18)/(-33)) prime?
False
Let x(w) = 3*w**3 + w**2 + 2*w - 1. Let c be x(3). Suppose -5*p + 45 = -c. Let v = 59 - p. Is v a prime number?
True
Let u(w) = 4 + 3*w**2 + 1 - 1 + 3. Is u(4) composite?
True
Let a be (10 - (0 - -1))/(-1). Let h(b) = 2*b**2 + 7*b - 4. Is h(a) a composite number?
True
Suppose -4*v + v - 42 = 0. Let p be ((-7)/(-7))/((-2)/v). Let b = p - 5. Is b composite?
False
Is 2/(3426/(-5730) + 3/5) a prime number?
False
Let k = 6 + 0. Is 921/k*8/4 prime?
True
Let t(a) be the second derivative of a**4/3 + a**3/2 + 3*a**2/2 + 2*a. Is t(-2) a composite number?
False
Suppose 2*b - 3 = 1, 4*b = -r + 12. Suppose -r*d + d = -36. Is (-6)/d - 426/(-4) a prime number?
False
Let i(j) = 28*j**3 - j**2 - 3*j + 1. Suppose -5*z + 10 = 4*f, 3*f - 2 = -z - f. Is i(z) composite?
True
Suppose 2*u + x = 3*u - 331, 5*x = -2*u + 648. Let l = -144 + u. Is l prime?
False
Let a(i) = i - 1. Let p(v) = -3*v**3 - v**2 + 5*v - 4. Let n(w) = 2*a(w) - p(w). Is n(3) prime?
True
Let d(f) = 19*f**2 + 1. Is d(-2) a composite number?
True
Suppose -63 = -4*l + l. Let i = 173 + l. Is i a prime number?
False
Suppose 2*c + 5140 = 6*c. Is c a composite number?
True
Let w be 2*(14/(-4) - -3). Is w/(1902/(-633) + 3) prime?
True
Let u(o) = -o**2 + 6*o + 6. Let z be u(7). Let l be 9*6/9*z. Is l/(-21) - 453/(-7) prime?
False
Suppose 2*r - 5 - 5 = 0. Suppose -y = 2*j, -5*j - 39 = -r*y - 2*j. Let v(o) = -o**3 + 8*o**2 + 5*o - 5. Is v(y) prime?
True
Suppose 4*o - 2*g - 1971 = 3*g, -3*g + 2011 = 4*o. Is o composite?
False
Is (-254)/(-3)*(-15)/(-10) a composite number?
False
Let l(n) = 74*n**2 + 3*n - 7. Is l(-4) a composite number?
True
Let m = 11 + -8. Let x = 3 - m. Suppose 4*g + 16 = x, a + 3 = -5*g + 62. Is a composite?
False
Let v(p) = -p**3 - p**2 + 2. Let s be v(0). Suppose -s*m - 138 = -5*m. Is m a prime number?
False
Let n(a) = a. Let k be n(6). Suppose 0 = 2*r - k*r. Suppose 4*x + r*x - 148 = 0. Is x prime?
True
Let q(b) = -94*b + 51. Is q(-5) composite?
False
Suppose 5*w + n - 3*n - 1161 = 0, -924 = -4*w + 4*n. Is w prime?
True
Suppose 3*t = 5*s + 8872, -11492 = -3*t - 5*s - 2610. Is t a prime number?
False
Suppose -t = 4*t - 10. Suppose 840 = h + t*h. Let v = h - 131. Is v a prime number?
True
Let q = -8 + 13. Suppose 148 = q*k - 247. Is k prime?
True
Let u(z) = -2*z**3 - 9*z**2 + 10*z + 2. Let l be u(-7). Suppose -c = 2*c - l. Is c a composite number?
False
Let d = 347 + -162. Is d a composite number?
True
Let i(v) = 294*v - 13. Is i(9) a prime number?
True
Let y(v) = -2*v**2 + 2*v + 4. Let t be y(4). Is (-3)/((t/28)/5) a composite number?
True
Let u(z) = z**3 + 4*z**2 + 2. Let f be u(-4). Let q be 1/3 - f/6. Suppose 5*p + 4*s - 2*s = q, 0 = 3*p + s - 1. Is p composite?
False
Let u = 13 - 5. Suppose 3*m - 8 - 7 = 0. Suppose -u = -m*c + 2. Is c a prime number?
True
Let g = 47 + -25. Let y(c) = -c**2 - 5*c + 3. Let a be y(-5). Suppose -l - a*h + 10 = 0, 2*l - 5*h - g = 9. Is l a prime number?
True
Let m = 165 + -38. Is m prime?
True
Suppose i + 5*u = 397, 2*i - 767 = u - 2*u. Is i composite?
True
Let c(i) = -3*i**3 + 13*i + 3. Is c(-6) a composite number?
True
Suppose 5*q - q = -72. Let o = 46 + q. Is (651/o)/(2/8) prime?
False
Suppose 106 = m + m. Suppose -5*g - 2*t + m = -58, g = 5*t + 33. Is g a composite number?
False
Suppose -5*r + 0*r - 55 = 0. Let m(p) = 2*p**2 + 7*p - 16. Is m(r) composite?
False
Suppose 2*a + 2*p + 0 = 2, -2*a + 8 = -p. Suppose a*o + 5*q - 143 = -22, 4*o - 4*q = 204. Is o composite?
False
Let r(c) = 5*c**2 - 5*c - 6. Let g be r(-4). Let i = 217 - g. Is i a composite number?
True
Let u be (7 - 1)*6 + 0. Suppose -2*a = 3*c - 7, 2*a - 19 = -c - 2*a. Let g = u - c. Is g a composite number?
False
Let d = 5 + -1. Suppose -l = d*l - 170. Suppose 2*h - l = h. Is h a prime number?
False
Let f(s) = -3*s - 4. Let t be f(-3). Suppose 0 = -t*a + 159 + 6. Is a a composite number?
True
Let r(h) = -13*h - 1. Let y be r(-1). Let q be (y/(-10))/((-8)/(-80)). Is (-2)/(-8) - 2529/q composite?
False
Let k(b) = 0*b**3 - 9 - b**3 - 13*b - 8*b**2 + 12*b + 2*b**2. Suppose 3*w + 40 = -2*w. Is k(w) prime?
True
Let a = 34 - -81. Is a a composite number?
True
Suppose 4*c = 6*c - 10. Suppose -50 = -c*u + 115. Is u a prime number?
False
Let l be (-10)/(-3) + 8/(-24). Suppose 0*v + l*v - 249 = 0. Is v composite?
False
Let x = -3 + 2. Let g(l) = -l**3 + 2*l - 4. Let f be g(-6). Is f/15 - x/(-3) prime?
True
Suppose 0 = 2*h - 2*d + 3 + 1, -h - 14 = 2*d. Let j(u) = -u**2 - 9*u - 7. Is j(h) a prime number?
True
Suppose 0 = -3*l + 14 + 16. Let x be (-2)/10 - (-32)/l. Suppose 0 = -2*t - 2*j + 416, j + 0 = x. Is t prime?
False
Suppose 4*l = -y + 2