 a. Is k prime?
True
Let r(k) be the third derivative of 77*k**6/30 + k**4/24 - k**3/3 - 2*k**2. Let o(w) = -8*w**2 - 67*w - 23. Let n be o(-8). Is r(n) prime?
True
Suppose -2*m = -3*s - 7*m + 398, 2*m = 5*s - 653. Is s*-2*(-26)/4 prime?
False
Suppose -11*u = -170887 - 267496. Is u prime?
False
Suppose -10*c = 328 + 202. Let t = -41 - c. Suppose 3*w + 4*m - 306 = 0, -m - 3*m = t. Is w a composite number?
True
Is ((-24)/(-4) - -74150 - 7) + 0 a prime number?
True
Suppose -1712306 = 13*q - 4778668. Is q prime?
False
Suppose -a + 105 = -55. Suppose 56 = 17*q + 821. Let n = q + a. Is n a composite number?
True
Is 2366/(-28)*-2556 + 11 a composite number?
True
Let a(m) = 32*m**2 - 31*m + 41. Let w(j) = 94*j**2 - 92*j + 124. Let y(c) = -17*a(c) + 6*w(c). Is y(18) a prime number?
False
Is (35/(4410/(-2220428)))/((-4)/18) prime?
True
Suppose -882 - 237 = -3*k. Suppose -m + 129 = k. Let q = m - -737. Is q composite?
True
Suppose 21*y + 58145 - 193952 = 0. Is y a prime number?
False
Is (-2)/(-28) + 655292448/4032 composite?
False
Let i = -63 - -67. Suppose 2*b - 384 - 1051 = -5*h, -i*b = 5*h - 1425. Is h prime?
False
Suppose 0 = 48*u - 44*u + 738640. Is 2/(-7)*u/40 a prime number?
True
Let h(w) = 4890*w + 5129. Is h(20) prime?
True
Suppose 706*v = 179*v + 1284299. Is v prime?
True
Suppose 5*y = 23 + 7, -5*m + 302489 = 4*y. Is m composite?
False
Let k(i) = -2*i**2 + 9*i + 5. Let w be k(4). Suppose 5*a = -w*a + 4*a. Suppose 0 = -5*v + 3*x + 65, -x + a*x + 39 = 3*v. Is v prime?
True
Let u = -198297 + 815656. Is u prime?
True
Let h(w) = -151*w - 27. Suppose 141 = -20*v - 379. Is h(v) composite?
True
Let m = -269579 + 551928. Is m composite?
False
Let w(r) = -12*r**3 - 127*r**2 - 14*r + 16. Is w(-51) composite?
True
Let w = 2888545 - 1939802. Is w composite?
True
Suppose 13 = -4*m - 5*q, -2*q - 3*q = 5. Let d be ((m - -3) + 658)*1. Suppose 261 = 8*a - d. Is a a composite number?
True
Let m(c) = 350*c - 13. Suppose -5*t + 8 = -7*t, n - 23 = -4*t. Let j = n + -32. Is m(j) prime?
True
Is 133732 + (10 - (-36)/(-4)) prime?
True
Suppose 32*n = 41*n. Suppose n = -z - 233 + 640. Is z composite?
True
Let c(z) = 3*z**3 - 280*z**2 + 162*z + 214. Is c(105) composite?
True
Let a = 17044 - 4198. Suppose 4*j + 4954 - a = 0. Is j composite?
False
Let g(l) = 180632*l**3 + 37*l**2 - 43*l + 3. Is g(1) a prime number?
True
Let p(x) = 2925*x + 233. Let c = -40 + 46. Is p(c) composite?
False
Let u(j) = j**2 - 12*j - 1393. Is u(62) prime?
False
Suppose -5*x = -28*x + 11868. Let c = x - -125. Is c a composite number?
False
Suppose -5*d - 309324 = -5*l - 939259, d = -4*l + 125957. Is d prime?
False
Let c(p) = 50*p**2 - p - 67. Suppose 8*j = -9*j + 204. Is c(j) composite?
False
Let p(i) = 88843*i**3 + 7*i**2 - 24*i + 17. Is p(2) composite?
True
Let h(g) = 101644*g**2 + 56*g + 11. Is h(-1) a composite number?
False
Let a(n) = -6*n**2 - 3*n + 23191. Suppose -2*f + 2*k = -2*k + 8, -10 = -f - 5*k. Is a(f) a prime number?
False
Suppose 0 = -5*a + 5, 0 = -7*y + 5*y - a + 18115. Is y composite?
True
Suppose 2*i - 27 = -7*i. Suppose i*w = -v + 3660, 2*v + 6089 = 5*w - 0*w. Is w prime?
False
Let y(m) = -7440*m + 547. Is y(-25) a composite number?
True
Is (365510/(-8))/(2/19 + 1107/(-3116)) composite?
True
Let w(k) = k**3 + 26*k**2 + 29*k + 7. Suppose 88 = -5*t - 2*l, 3*t = -0*t + 2*l - 56. Is w(t) a composite number?
True
Suppose 0 = -7*i + 465 + 1537. Let y = 575 - i. Is y prime?
False
Let c be (4620/(-80))/((-9)/1848). Suppose 2*n = 8588 + c. Is n composite?
False
Suppose -4*j - 2*j - 354 = 0. Let c = j + 62. Suppose 5*b - 2*s = 2*s + 10261, 0 = 4*b - c*s - 8209. Is b a prime number?
True
Is (30/9)/(85/(-34)) + (-1172359)/(-3) a prime number?
False
Let j(l) = 20*l**2 + 15*l + 87. Suppose -13 = 3*s + 2*k + 39, 74 = -5*s + 3*k. Is j(s) a prime number?
True
Is (14 + (-528)/32)*(-90836)/10 a composite number?
False
Let v be ((-420)/8)/(2/(-212)). Suppose -2*g + 11112 = q, -4*q - v = 3*g - 4*g. Is g a prime number?
True
Let k(a) = 43853*a**2 + 91*a - 91. Is k(1) a prime number?
True
Let v(u) be the second derivative of -u**5/20 - u**4/12 - u**3/6 + 3623*u**2/2 + 38*u - 1. Is v(0) a composite number?
False
Suppose 3*o = -11*r + 13*r + 65, 4*o = 5*r + 89. Is (-6)/o - 10443/(-21) composite?
True
Suppose -5*s + 123547 = -3*g, -236*g + 241*g = -4*s + 98808. Is s prime?
False
Suppose 32 = -11*r + 19*r. Suppose r*z - 20048 = 4*s, 2*z = -4*s + 2823 + 7231. Is z a composite number?
True
Suppose -5*z - 2*l - 590 = 2*l, z = 4*l - 142. Let f = z - -3285. Is f a composite number?
False
Let r(g) = 22*g**2 - 78*g - 507. Is r(-82) prime?
True
Let i(f) = -2*f**3 + 5*f**2 - 11*f + 96. Let r(h) = h**3 - 2*h**2 + 6*h - 47. Let t(m) = 2*i(m) + 5*r(m). Is t(14) a composite number?
True
Suppose 5*l - 2*c - 498225 = 0, -5*l + 6*c = -311299 - 186946. Is l a prime number?
True
Is (-6)/(-9)*(4 - 1122248/(-16)) a prime number?
False
Let y be 4/9 - (-869)/9. Suppose 99*s = y*s + 3382. Is s a composite number?
True
Let b(n) = -779*n**3 - 7*n**2 - 5*n + 8. Suppose -3 = w + o, -5*w + 4*o - 12 = -w. Is b(w) prime?
False
Suppose -623*n - 207046044 + 933276484 = -412393641. Is n a prime number?
True
Suppose 2*w - 2 = -4*m + 6, -3*w = 0. Suppose -i = 5*k - 14, 0*k - 12 = m*k - 4*i. Suppose -k*x - x + 3637 = 2*f, -4*f = 4. Is x composite?
False
Let r = -63 - -65. Suppose w + 112 = -4*z, -w + r*z = 3*z + 118. Let q = w - -517. Is q a prime number?
True
Let p be ((-70)/(-28))/((-1)/(-2)). Suppose 4*q - 1352 = -4*n, 0 + 15 = p*n. Is q a composite number?
True
Suppose 59*n - 6574283 - 3572360 = 0. Is n prime?
False
Suppose 77*s - 39871645 = 22*s. Is s prime?
True
Let u(t) be the second derivative of t**5/20 - 5*t**4/12 + 2*t**3/3 - 5*t**2/2 - 5*t. Let p be u(2). Is p*1/(-3) - -248 prime?
True
Suppose 0 = 30*p - 38*p - 2160. Is 1/6 - 1403685/p composite?
True
Let r(i) = 392*i - 61. Let j be r(6). Let g = j + -1012. Is g a composite number?
False
Suppose 162*o - 166*o + 762421 = 3*n, 5*n + 2*o = 1270669. Is n a prime number?
False
Let h(v) = -20*v**3 - 10*v**2 - 14*v - 161. Is h(-8) a composite number?
False
Let w(p) = -7*p**3 + 0*p - 5 + 2*p + p - 2*p**2. Is w(-8) composite?
True
Suppose 555701 - 729029 - 770356 = -28*z. Is z prime?
True
Let q(h) = 3*h**2 - 47*h - 15. Let k be q(16). Let g be (-1)/(-3) - 21/9. Is (-1962)/(-4) - k/g a prime number?
True
Let t(y) = 50626*y**2 + 221*y - 220. Is t(1) a prime number?
True
Let k(s) = 9*s + 12. Let d be k(5). Let x = 62 - d. Is 1897/x + 1/10*-4 composite?
False
Let i(c) be the first derivative of -1 + 16/3*c**3 + 11/2*c**2 + c. Is i(-6) a prime number?
False
Suppose 9781272 = 19*l - 7*l + 60*l. Is l a prime number?
True
Let n be 28*(-1)/1 - 0. Let l(y) = -y**2 - 38*y + 268. Let o be l(9). Let t = n - o. Is t prime?
True
Let j = 394 - -322. Suppose -16*r + 12*r + j = 0. Let m = -76 + r. Is m prime?
True
Let l be (-775)/(-35) - 30/(-35). Is 6 - (-13 + l) - (-1 - 43394) a composite number?
False
Suppose 58*r - 176*r = -45772318. Is r a composite number?
True
Is -57 + 70 + 35869 + 3 prime?
False
Let a(s) = -s**3 + 22*s**2 - s + 28. Let g be a(22). Is -2 + -1358*g/(-12) a prime number?
True
Suppose 14*s - 49030 = -2*x, -2*x - 97940 = -6*x + 2*s. Is x a prime number?
False
Let r(a) = -a**3 + 6*a**2 + 2*a - 8. Let p be r(6). Is 2*(230248/20)/(p/5) a prime number?
False
Suppose 3*r + 49811 = 4*z, 4*r = 5*z + 2*r - 62255. Is z a composite number?
True
Suppose 9*n - 8*n = -4*k - 29, -47 = n - 2*k. Let q(o) = 16*o**2 - 24*o + 201. Is q(n) composite?
False
Let o(a) = 7*a**2 - 90*a + 12. Let q be o(13). Is (q/(-2) + 3)/((-32)/6848) a prime number?
False
Suppose -6*r - 3*q + 6 = -7*r, 5*q = 10. Suppose r = 2*t + 4*x - 6162, 16*t - 19*t = 3*x - 9258. Is t prime?
False
Let j be (-3)/((4/(-1999))/4). Suppose 3*c = 4*y + 4693, 4*c - 235 = -y + j. Is c a composite number?
False
Suppose -4296 = 2*p + p. Suppose 5*w = 15278 - 403. Let d = w + p. Is d prime?
True
Suppose 0 = 14*a - 20*a + 1224. Let o = -170 + a. Is o prime?
False
Let v = -1784 - -655. Let d(b) = 8*b**2 - 374*b - 110. Let f be d(48). Let n = f - v. Is n composite?
False
Suppose 113 = 5*j - f, 3*j - 5*f - 23 = 58. Let w be (-12)/(-3)*47/4. Let x = j + w. Is x prime?
False
Let i be 3/(-21) + 2520/(-196). Is 17995 - i/(26/6) prime?
False
Let r = 2