number?
True
Let v(b) = -b**2 + 10*b - 8. Let h be v(4). Suppose 22 = 2*f + 6*i - 2*i, 0 = 2*f + i - h. Suppose -4*n + f*n - 2007 = 0. Is n prime?
False
Let s(m) be the first derivative of -5*m**4/4 + m**3/3 - m**2 - 2*m - 26. Let d be s(-1). Is d/(-9) + ((-26844)/(-9))/4 prime?
False
Suppose -a + 43 = -3*c - 2*a, -3*a - 69 = 5*c. Let o be (-732)/c*(110/4 - 0). Suppose p = 3*p, -2*p + o = 2*j. Is j prime?
False
Is (-4)/20 - 1 - 2*(-2104004)/40 prime?
True
Suppose 5*b + i = 2264948, 6252*i - 6249*i = 3*b - 1358958. Is b prime?
True
Suppose -23*k = -6*k - 17. Let h(u) = 1652*u + 5. Is h(k) a composite number?
False
Let m(d) = 2*d - 18. Let r be m(10). Suppose -1954 = -r*o - o + v, -o + 654 = v. Let t = -209 + o. Is t a prime number?
True
Let t = 633532 - 304185. Is t a composite number?
False
Suppose 21 = -2*m - m. Let w(p) = 3*p + 1. Let y(g) = -219*g - 12. Let j(a) = -4*w(a) + y(a). Is j(m) prime?
True
Let x = 101 - 98. Let a be 1750/x*(13 - 10). Let g = -57 + a. Is g a composite number?
False
Suppose -2*d + 44809 = -16771. Let j = -662 + 668. Suppose -j*i + d = 4*i. Is i prime?
True
Let k(w) = -w**3 + 14*w**2 - 24*w + 11. Let c be k(12). Suppose -32 = -s - c. Is ((-11494)/s)/(6/(-9)) a composite number?
False
Let a(z) = -z**3 - 6*z**2 - z + 7. Let w be a(-6). Let y(p) = -6*p**3 + 14 + 8*p**3 - 14*p**2 - p**3 + 18*p + 0. Is y(w) a composite number?
False
Let l = -241 - -244. Suppose k + 3*y = -k + 8597, 3*y = -l*k + 12888. Is k a composite number?
True
Suppose 92*y - 76*y - 64 = 0. Suppose 0 = y*d - 2 - 10, 4*d = -5*t + 47747. Is t prime?
True
Let f = -224 - -235. Let v(w) = 277*w - 120. Is v(f) a prime number?
True
Let k be -3 - -1*20/8*2. Let u(l) = 294*l**2 + 338*l**2 - l + k*l. Is u(-1) a prime number?
True
Let u(g) = g**3 + 53*g**2 - 124*g - 183. Is u(-50) a composite number?
True
Is (-3 + 1)*(-858120)/48 prime?
False
Let i(m) = m - 92. Let f be i(0). Let r = f + 93. Is 5/((-25)/21110)*r/(-2) composite?
False
Let v be (7 - 8) + (-13)/((-39)/50040). Let d = 25162 - v. Is d a prime number?
False
Let v = 27 + -23. Suppose 0 = -2*g + v + 4. Suppose g*f - 5*t = 506, -f = -0*t + 3*t - 135. Is f composite?
True
Let h(r) = -13*r + 3. Let m be h(3). Let s = -32 - m. Suppose s*v = 12*v - 6248. Is v a composite number?
True
Let i = 2464 - 4500. Let r = i - -7165. Is r a prime number?
False
Suppose j + 24749 = 3*r, -2*j - 4*r = -j + 24749. Let s = j + 35154. Is s composite?
True
Suppose 71 = 2*g - 281. Let d = 675 + g. Is d prime?
False
Let r(z) = 163968*z**2 - 156*z + 1. Is r(1) composite?
True
Is ((-12110509)/785)/((-1)/5) a composite number?
False
Let s be -3*(-6986)/18 - (-2)/(-6). Suppose -2*t + 303 = 5*r - 480, 3*r + s = 3*t. Let a = t - -242. Is a a composite number?
False
Suppose 3*s + 20 = 8*s. Suppose s*k = -k + 20. Suppose -5*q + 291 = -2*b, 0*q - q + 67 = k*b. Is q prime?
True
Let f = -2296 + 13672. Suppose 10*b = 174926 - f. Is b prime?
False
Let j = 359 - 348. Suppose 3*q - 9*w = -j*w + 5213, 5*w - 1755 = -q. Is q prime?
False
Let a(i) = i**3 + 8*i**2 + 5*i - 10. Let f be a(-7). Suppose 3*j = -2*p - p + 9, 0 = -2*p + f. Is ((-3310)/25)/j*5/(-2) composite?
False
Let y(p) = -131*p**3 - 3*p**2 + 8*p + 55. Is y(-14) a prime number?
False
Let z be 2/(-13) + (-48388059)/(-117). Suppose 11*m = -8*m + z. Is m a composite number?
False
Let w be (1 + 1)/(1/12). Suppose 0 = -249*a + 1081 + 3650. Suppose -w*t = -a*t - 1535. Is t a composite number?
False
Let a(b) be the first derivative of 439*b**4/2 - 2*b**3/3 + b**2/2 + 42. Is a(1) a prime number?
True
Let b(d) = 1297*d**3 - 3*d**2 + 11*d - 34. Is b(3) composite?
True
Let r(c) = 78*c**2 - 3*c + 16. Let s be ((42/4)/3)/(21/42). Is r(s) composite?
True
Suppose -2*u - 3 = -1. Let y be 14*((u - -1) + 49/2). Let c = 488 - y. Is c prime?
False
Is 12537/4 - ((-22825)/100)/83 a prime number?
True
Suppose 12252 = -v - 2623. Is (-3)/(-12) - v/4 prime?
True
Let m be 2/(6/3) + 3363. Suppose -u + m = -2002. Suppose j + p - 2683 = 0, -j = j - p - u. Is j a prime number?
True
Let f(y) = 15*y**2 - y - 13. Let k be (-12 - -10)/(1/(-16)). Let c = 36 - k. Is f(c) prime?
True
Suppose -4*d - 989 = 543. Suppose 50*f - 19100 = 25*f. Let t = f + d. Is t a prime number?
False
Let m = -16 - -46. Suppose 4*s - 3 - 45 = 0. Is m/s*74/5 composite?
False
Let g(j) = 8975*j**2 + 50*j - 67. Is g(6) composite?
False
Suppose -2*w - 2 = z + w, 3*z - 5*w - 36 = 0. Let h(c) = 2 + 186*c + 16*c - 48*c + z. Is h(5) a composite number?
True
Suppose d = 5 - 1. Suppose -242 = d*o - 26. Let b = o + 133. Is b composite?
False
Let d = 27 - 23. Suppose -2*y + 6 = -d. Suppose 5*i - 1035 = -y*k, -3*k + 30 = -2*i + 424. Is i composite?
True
Is (-18 + -85*18/(-90))/((-2)/2368798) a prime number?
True
Let l(c) = -c**3 - 11*c**2 + 12*c + 8. Let n be l(-12). Suppose -3*o = -o - n. Suppose -q = 5*t - 613, -3*t = -2*q + o*q - 372. Is t a composite number?
True
Suppose 894122 = 3*j - 2511860 + 826729. Is j a prime number?
True
Let r = -90 - -87. Let y(l) = -3248*l - 8. Let n be y(r). Suppose -2*d + 5*b + n = 0, 3*d = -b + 14687 - 66. Is d a prime number?
False
Let c(w) = w**2 - 9*w - 29. Let m be c(12). Suppose -11690 = -m*s + 476. Suppose 4*l - s = -102. Is l composite?
False
Let x(j) = 27433*j + 165. Is x(2) composite?
True
Suppose -21*s + s - 1165615 = -13930875. Is s prime?
True
Let y = 77 + -62. Let b be 77/y + (-4)/30. Suppose 8*u - b*u = 10977. Is u a composite number?
False
Let s(i) be the third derivative of 3*i**5/20 - 5*i**4/12 - 3*i**3/2 + 10*i**2. Let f = -43 - -56. Is s(f) composite?
True
Let g = 31253 - 21683. Suppose 0 = 5*c - 80635 - g. Is c prime?
True
Suppose 14*g + 25*g - 2760459 = 0. Let m = -50380 + g. Is m composite?
True
Let x(a) = -2802*a - 109. Let o be (-252)/49 + 5 + (-108)/28. Is x(o) prime?
False
Let b(a) = 2*a**3 - 2*a**2 - 3*a + 2. Let k be b(2). Suppose k*z - 1363 = -5*u, 261 = u + 25*z - 30*z. Is u prime?
True
Let w(f) = 6*f - 30. Let u be w(6). Suppose 0 = u*m + 6*m + 216. Is m/(-81) - (-7981)/9 composite?
False
Let u(n) = 2*n - 44. Let s be u(24). Suppose -30*k + 97838 = -s*k. Is k composite?
True
Let o(k) = k**2 - 44*k + 261. Let l be o(37). Suppose -4*y = l*d - 40802, 3*d + 2*y + y = 61212. Is d a prime number?
True
Suppose 2*l - 3*p = 317983, 17*l - 2606978 = p + 95804. Is l composite?
True
Suppose -18 - 3 = -3*c. Suppose -22 = -c*f - 8. Suppose 0 = f*o - 3*o + r + 541, 1623 = 3*o - r. Is o a prime number?
True
Suppose -2*f + 8 = -0*f. Suppose 3*p = -k - 2*k + 6, -2*p = -2*k + f. Suppose p*x - 2823 = -3*x. Is x prime?
True
Let b be (-6 + 2)/(0 + 3 + -4). Suppose -20525 = -b*t + 8607. Is t prime?
True
Suppose 5*k - 29 = 4*l + 40, 84 = 4*k + 4*l. Suppose k*w = 8*w + 102159. Is w a prime number?
True
Let v be -14 + 6 + 9 + -729. Suppose 4*s = 3*p + 1059 + 3422, -5*p + s - 7457 = 0. Let r = v - p. Is r a composite number?
True
Let p = -306306 + 485309. Suppose 24*x - 133645 = p. Is x a composite number?
True
Suppose 5*r = m - 409859, -8*m - 5717*r + 5713*r = -3279048. Is m a prime number?
True
Suppose -2*i - 20 = 4*l, -7 = -2*i + 12*l - 7*l. Is (-3)/i + (-42678)/(-24) + -5 composite?
True
Let f be (-124)/(-31)*6/8. Suppose 2*r + 76020 = 2*q, -152037 = -4*q + f*r + 2*r. Is q prime?
False
Let q(y) = 46*y + 15 - 15*y**2 + y**3 - 18*y - 15*y. Is q(16) a composite number?
False
Is (-12)/(-56)*72146 - 18/21 a composite number?
True
Let q(w) = w**3 - 13*w**2 + 4*w - 39. Let i be q(11). Suppose 164 = -c + 38. Let r = c - i. Is r a prime number?
False
Suppose -4*h + 826536 = 5*h - 378123. Is h a composite number?
True
Let z(i) = -28*i**2 - 30*i - 19. Let m(t) = 9*t**2 + 10*t + 6. Let x(o) = 7*m(o) + 2*z(o). Is x(-3) composite?
False
Suppose 3*t - 22 - 58 = -5*o, o - 4*t - 16 = 0. Let s be 8/((44/8)/(-11)). Is 221 + o/40 + s/(-10) a composite number?
False
Let b(l) = 15*l**3 - 277*l**2 - 15*l - 89. Is b(30) composite?
False
Let j = -29267 - -90894. Is j composite?
False
Let z = 669 - 674. Is 54158 + (-1)/(-2 + (-9)/z) prime?
True
Let q be (-2)/(-8) + 1 + (-46)/(-8). Let v(b) = -5*b**3 + 5 - 4*b - 3 - 13*b**3 + 3*b**3 - q*b**2. Is v(-4) composite?
True
Suppose s + 2*s + 4*l - 10 = 0, 3*s = 2*l + 4. Suppose 5*f = 3*n - 13418, f - 4476 = -n + s*f. Is n composite?
False
Suppose -3*m + 3 = 24. Let s(r) = r**2 - 7*r - 5. Is s(m) a