7307. Is s a prime number?
False
Let h(n) = n**2 + 14*n + 18. Let v = 62 + -41. Is h(v) a composite number?
True
Let p(u) = -4*u**3 + 5*u**3 + 14 - 17*u - 20 + 2*u**2 - 17. Is p(17) prime?
True
Suppose 5*f + 0*k + 10136 = 3*k, -4*f - 4*k = 8096. Let m = 22832 + f. Suppose m = 8*b + 1694. Is b prime?
True
Let a be ((-1)/(-1))/(-3 + 65/20). Suppose 3*r - 2*s = 13, 17 = 5*r + s - 2*s. Suppose r*g + a*g - 24262 = 0. Is g prime?
False
Suppose -3*u + 15 = -4*u. Let p = u - 149. Let g = -61 - p. Is g a composite number?
False
Let h be (-7 + 6 - 39)*-2. Suppose -97*t = -h*t - 320161. Is t composite?
True
Let g(q) = q**3 + 80*q**2 - 68*q + 77. Is g(-34) composite?
True
Let d be (16/(-12))/((-26)/39). Suppose -16551 = -5*f - d*s, 0*f - 3*f + 3*s + 9918 = 0. Is f prime?
False
Suppose 0*d + 3*d + 51 = 3*i, 0 = i + 5*d + 13. Suppose i*g - 60150 = 13566. Is g a composite number?
False
Let b(r) = -6*r + 198. Let p be b(25). Is 1324/16*(p + -3 - 1) a composite number?
True
Let o be (-1 - 8/(-3))/(14/210). Let l(n) = 25*n - o - 3 + 12. Is l(5) a prime number?
True
Suppose -9*p - 120 = -5*p. Let u = 31 + p. Is (-449*u/2)/(1/(-2)) composite?
False
Let h(t) = -t**3 - 8*t**2 - 14*t + 3. Let l be h(-6). Suppose 0 = 2*x - 7*x + l. Suppose 0 = -x*k + 5*d + 6313, -4*k = -d - 5212 - 3194. Is k composite?
True
Suppose -2*x = -m - 0*m + 115104, -3*m = 2*x + 115104. Is x/(-40) + 1/5 a prime number?
True
Let d(b) = b**3 + 3*b**2 - 10*b + 5. Let a be d(-5). Let x(v) = -v**2 - 7*v**3 + 1069 - 14*v + a*v**3 + 13*v. Is x(0) composite?
False
Let a(j) = -4748*j - 339. Is a(-7) a composite number?
True
Let v(t) = 11834*t - 4889. Is v(9) prime?
False
Let b be (-1 + -2)*((-1215)/3 + -2). Suppose b = 2*i - 185. Let l = 186 + i. Is l a composite number?
True
Let z = -26 - -28. Let x(b) be the third derivative of 37*b**5/12 + b**4/24 + b**3/6 - 101*b**2. Is x(z) a prime number?
True
Suppose 4*t - 4*d + 0*d = -8, 2*d - 8 = -2*t. Let k be (-2 - -2) + 140/(-3 + t). Let y = 387 + k. Is y a prime number?
True
Let d = -6 + 9. Suppose 11 = d*q - o, -3*o = -5*q + 24 - 3. Is ((-5971)/21)/((-1)/q) a prime number?
True
Suppose -12 - 93 = -7*j. Suppose j = 2*i + 3*i. Is (i - -2) + 1 + 53 prime?
True
Suppose -16*s + 158890 = 3*o - 15*s, -4*o + 211854 = 2*s. Is o a prime number?
True
Let b(u) = u**3 + 6*u**2 - 2*u + 24. Let g be b(-8). Let q = g + 299. Is q a prime number?
True
Let q(v) = -2*v**2 + 7*v + 36. Let a be q(6). Is 58*(a + -5) - 5 prime?
True
Is (-106522533)/(-195) + (-20)/50 a prime number?
False
Suppose -257376 - 454425 = -3*z - 3*n, -12 = 3*n. Is z composite?
False
Let c(f) = 361200*f - 839. Is c(2) a composite number?
False
Suppose 7*i + 3198224 = 52*i - 29*i. Is i prime?
True
Let w(l) = -72652*l + 2369. Is w(-9) a prime number?
True
Let h = 16 - -46. Let c = 551 - 551. Suppose 5*q - 40 = -k - c*q, 2*k = -4*q + h. Is k a composite number?
True
Suppose 0 = 36*t + 114*t + 600. Let d(b) = -b**3 + 7*b**2 - 5*b - 3. Let x be d(6). Is (3 - 596)/(x + t) prime?
True
Let f be 3 + (-3 - -4)*58. Let a = -58 + f. Suppose 308 + 1435 = a*k. Is k a composite number?
True
Suppose 21 = 5*d + w, 4*d = -3*w - w + 4. Let l(a) = 47*a - 13. Let i be l(d). Suppose -5*b - 2*f = -411, 0 = -2*b - f + i - 58. Is b composite?
False
Let j = -236 + 230. Is (-2265)/(-9) - (-3)/(27/j) a prime number?
True
Let n be (-4090)/(-12) + 1/6 - 3. Suppose -u - v - 17 + n = 0, 5*u + 3*v = 1613. Suppose -u = -3*z + 281. Is z a prime number?
False
Let t = -57 - -17. Let y = 46 + t. Suppose y*k + 3*k = 7893. Is k a prime number?
True
Let n be (-64360*8/(-16))/(1 - 0). Suppose 16106 = 2*f + 2*d, 4*f - 4*d = -0*d + n. Is f a composite number?
True
Suppose 0 = -v + 2*n + 1329495, 2*v + 5*n - 2741309 = -82391. Is v composite?
False
Suppose -3*a + i - 6413 = -21021, 2*a - 9767 = -5*i. Is a prime?
True
Let l(b) = 317*b**2 + 9*b - 16. Let g be l(9). Suppose -3*x = 5027 - g. Is x composite?
True
Is (-12746340)/(-38) + 43 + 20/2 a prime number?
False
Let z(a) = -59 + 312 + 52 - 257*a + 123*a + 290*a. Is z(13) composite?
False
Let k be 2/((32/80)/(1582/10)). Suppose -m = 4*n - 2136, -3*n + 800 = -2*m - k. Is n composite?
True
Let g = 1623 - 637. Suppose g + 2486 = 4*a. Suppose -12*v = -8*v - a. Is v a prime number?
False
Let t be 1881/54 - (0 - 2/12). Let l be (-4 - -1 - t/(-10))*22. Is l/22 - 123/(-2) composite?
True
Let s(k) = -3490*k + 7237. Is s(-84) a composite number?
False
Let o(k) = 5*k**2 + 121*k + 181. Is o(-80) a prime number?
True
Let h be (-1 - 9)*(0 + -870 - 4). Suppose -l + 4364 = k, -2*l + 4*k + h = -0*l. Suppose -22244 = -7*g - l. Is g prime?
False
Suppose l - 5*f = 41869, -30031 - 53707 = -2*l + 5*f. Let j = 63830 - l. Is j prime?
True
Let m(g) = -g**2 - 6*g - 5. Let p be m(-6). Is 3/(p/5 + 2) + 644 a prime number?
True
Let l(d) = -312*d + 859. Let f(h) = -105*h + 286. Let s(b) = 11*f(b) - 4*l(b). Is s(8) a prime number?
False
Suppose 5*b - 31 = -2*v - 83, 3*b = -4*v - 20. Is (-190)/b + 3 + 2/12 a composite number?
False
Let u(w) = 19*w**2 - 5*w + 48. Let c(k) = 30*k**2 - 8*k + 71. Let r(o) = 5*c(o) - 7*u(o). Suppose 34 = -3*n + 3*b + 1, -3*n = b + 21. Is r(n) a prime number?
False
Let t(r) = r**2 + 7*r + 11. Let w be t(-6). Suppose 0 = -w*g - 5, -2*g - 3*g - 13 = -4*j. Suppose j*k - 142 = k. Is k prime?
False
Suppose -6305 = -2*y + 3*s + 4779, 5*s = 10. Is y a prime number?
False
Suppose c + 1028189 = 2*b, 40*b - 4*c = 36*b + 2056392. Is b prime?
False
Suppose 0 = -p - 0*p + 2*p. Suppose p*y - 1161 = -3*y. Suppose 5*g + y = 3632. Is g a composite number?
True
Suppose -3*r = -2*b + 1183462, 0 = -r + 3*r. Is b a prime number?
False
Suppose d - 3*d + 3*s + 148128 = 0, -3*d - 3*s = -222207. Suppose 0 = -b + 22*b - d. Is b a composite number?
False
Suppose -l = -5*i - 5*l - 305, -i - 3*l = 50. Let m = i - -69. Suppose -m*q = 12, s + 8 = -4*q + 127. Is s a composite number?
False
Suppose -4868830 = -40*p + 15416650. Is p a prime number?
True
Let u be ((-45)/(-6))/5 - (-8)/16. Suppose 0 = -j + u*d + 835, 0 = -2*j - 4*d + 2163 - 477. Is j a composite number?
False
Suppose 10*m = 9 + 51. Suppose -8*w - 3972 = -m*w. Is (-4)/(-8)*w/(-3) a prime number?
True
Let q = -429 + 428. Let f(m) = 19718*m**2 - 7*m - 8. Is f(q) a prime number?
True
Let i = 483 + -480. Suppose 0 = -o + 4*w + 1531, -2*w - 4670 = -i*o - 47. Is o a prime number?
True
Suppose 10670651 + 25548607 = 10*y + 1358668. Is y a composite number?
False
Suppose 3*i - 14 = -4*o + 53, 2*i - 52 = o. Suppose -31903 = i*y - 145728. Is y a prime number?
False
Let q(n) = -166*n**2 + 4*n + 15. Let a(t) = -164*t**2 + 3*t + 16. Let y(m) = 2*a(m) - 3*q(m). Is y(-6) prime?
True
Is 5053763/110 - (-2 - 92/(-40)) a composite number?
False
Let k(m) = -13*m - 24. Let j be k(-2). Suppose 4*s = -w + 3*s + 9, 0 = 2*w - 2*s - j. Suppose -w*t + 3*t = -1466. Is t a prime number?
True
Let t = -77 - -89. Suppose -t*n + 410 = -1234. Let b = n + 596. Is b prime?
True
Let g(v) = 321*v - 100. Let o(c) = -640*c + 198. Let r(j) = -7*g(j) - 3*o(j). Is r(-8) a prime number?
False
Let d be (242/4)/((-8)/(-560)). Let k = 19374 + d. Is k composite?
False
Suppose -5*w - 2*f + 1192 = -3*f, w + 3*f = 232. Let k be (-95)/((-14)/(-3 - 11)). Let v = w + k. Is v prime?
False
Let h(b) = 12*b**3 + 11*b**2 - 29*b + 139. Is h(19) a composite number?
True
Let q be (4 + (3 - 7))/((-1)/(-1)). Let i = 4 + -6. Is 483/(3 - q) - i a prime number?
True
Let h = 60 - 647. Let j(p) = -p**3 - p**2 + 2*p - 856. Let u be j(0). Let a = h - u. Is a composite?
False
Let i be 1/(-2) - (55/2 + 0). Let t(n) = -n**3 - 30*n**2 - 21*n - 3. Let c be t(i). Let h = 1521 + c. Is h a prime number?
False
Let p(h) = 26978*h**3 - 73*h**2 + 228*h - 16. Is p(3) a composite number?
False
Let y(h) be the third derivative of 11*h**6/120 + h**5/10 - h**4/8 + 23*h**3/6 + 10*h**2. Let l be y(10). Suppose -7*v + 2316 = -l. Is v prime?
True
Suppose -2*v + 6385 = -3*t - 9991, -5*v = 3*t - 40919. Let o = 25250 - 23873. Suppose -4*p - 2*l + 5438 = 0, l + v = 5*p + o. Is p a composite number?
False
Suppose -1428 = -17*x + 14*x. Suppose 4*o - 4*g = 476, -o + 4*g = -5*o + x. Suppose 12*i - 11*i - o = 0. Is i a prime number?
False
Let l be -244*(513/(-4))/9. Let c = l - -3590. Is c prime?
False
Let t(a) = 537*a**2 + 43*a - 1957. Is t(30) prime?
True
Let c = 29