and a(8)?
2646
Let l = 534/996421 + 23758758421/1679965806. Let s = l - -20/843. Let q = 21967/208 - 1377/13. What is the common denominator of q and s?
48
Let z = 8338 + -2034471/244. Calculate the common denominator of z and -83/610.
1220
Let c = 64358 - 34731. Find the common denominator of -55/6 and (5 + -1)*(c/6006)/53.
462
Let h = 109176 + -72602011/665. Find the common denominator of h and -117/238.
22610
Let d be (0 + 3)*(-323)/(-51). Suppose 423 = 5*w + 3*a, d*a - 335 = -4*w + 20*a. Calculate the lowest common multiple of 112 and w.
336
Let c = 9083881/653 - 13911. Let n = -26126/1959 - c. Find the common denominator of n and 2/(-8) + 29/(-28).
21
Let x = 46/6629 + -1045997/755706. Let k = 6098 - 61071/10. Find the common denominator of k and x.
570
Let f = 175 - 174. What is the lowest common multiple of (((-312)/32)/13)/(f/(-12)) and 3?
9
Suppose 3 - 7 = -n. Suppose 8*f + 26 = 3*k + 3*f, n*f = -16. Suppose 2*j + k*j + 40 = 3*z, 0 = -2*j - 2. Calculate the lowest common multiple of 21 and z.
84
Let c(z) = -z**2 + 9*z - 10. Let v be c(5). What is the common denominator of (-2)/v + (-46)/(-255) and (-6)/(-24) - (-1071)/(-140)?
255
Let o(s) = -5*s - 1. Let n(f) = f + 7. Let b be n(-4). Let x be o(b). What is the common denominator of 37/9 and (-6)/x + 1668/672?
63
Let g(w) be the second derivative of -19*w + 0 - 3*w**2 + 1/20*w**5 + 5/6*w**4 + 1/3*w**3. What is the least common multiple of g(-4) and 8?
328
What is the smallest common multiple of 720 and -18*(-5 + (-99)/(-27))?
720
Let d(u) = -44*u**3 - 46*u**2 + 6*u. Calculate the least common multiple of 252 and d(-3).
756
Suppose -36 = -21*k + 111. Calculate the lowest common multiple of 217 and k.
217
Let u = -56023 + 56047. What is the least common multiple of 4/(-14) + (-4384)/(-56) and u?
312
Let f = 334 - 326. Calculate the common denominator of 40/(-24) - (18/f - 2) and 7/20.
60
Find the common denominator of 27/122 and -5*7/(-140) - (-105)/(-258).
10492
Let n(g) = -g**3 + g**2 - 8*g - 6. Calculate the smallest common multiple of 8/(-52) - (360/(-117))/(9/18) and n(-5).
552
Let x = 4 + 0. Suppose 0 = -x*b + 2*b + 12. What is the smallest common multiple of b and 17/((-850)/(-20))*20?
24
Let r(w) = -8*w**3 - 10*w**2 - 13*w - 19. What is the smallest common multiple of 210 and r(-4)?
2310
Let k(g) = 16*g**2 - 21*g + 1. Let a(i) = -8*i**2 + 11*i. Let q(m) = 5*a(m) + 3*k(m). Calculate the least common multiple of 11 and q(2).
209
Let v be ((-54)/21)/((-27)/882). Suppose 91*r - 105*r = v. What is the common denominator of 47/40 and r?
40
Let g(i) = i**2 + 32*i + 2. Let h be g(-32). What is the common denominator of -5/99 and ((-29)/87)/(h/((-138)/11))?
99
Calculate the smallest common multiple of -2*(-1000)/168 + 2/21 and 279.
1116
What is the common denominator of -27/20 and (-218)/(-48)*436/3706?
1020
What is the common denominator of 306/170 - -2*(-659)/260 and 38/221?
442
Suppose 17*y = -214 + 928. Calculate the lowest common multiple of y and 150.
1050
Suppose -35*w + 115 = -130. Calculate the least common multiple of 56 and (-286)/(-182) + -4*1/w.
56
Let a = 16 + -11. Suppose 7*t - 5*k + 20620 = 2*t, -20602 = a*t + 4*k. Let h = -41177/10 - t. Calculate the common denominator of 36/7 and h.
70
Let n(c) = -2*c - 14. Let f be n(-5). What is the common denominator of (-26)/(-52)*(-123)/(-42)*f and -91/8?
56
Let s(z) = -z**2 - 149*z - 5090. What is the lowest common multiple of s(-55) and 1400?
2800
Calculate the common denominator of 977/726 - (-136)/(-102) and -37/121.
242
Let a = -19 + 29. Suppose 2*d - 13 = 5*k, a = 2*k - 0*k + 3*d. Calculate the common denominator of 113/12 and 627/22 + k/(-1).
12
Let m = -17037/15895 - -58/55. What is the common denominator of m and -37/119?
2023
Let m(v) = -7*v**2 - 125*v + 167. Calculate the least common multiple of m(-19) and 74.
1110
What is the common denominator of 32/33 and 10/8 + (-74315)/62478?
15444
Let u = -1467/2 - -6595/9. Find the common denominator of u and (-2 - (-134)/8) + 4.
36
Let o(p) = -2*p**3 - 5*p**2 - 2*p - 1. What is the smallest common multiple of o(-3) and (-14)/(-4)*(5 + 13*(-14 - -15))?
126
Suppose 98 = 4*c - 86. Suppose -3*p = p - 2*x - c, 4*p + 4*x = 16. Calculate the least common multiple of (-580)/(-60) - 3/(-9) and p.
90
Let m = 2473339/420 + -41232/7. What is the common denominator of 5642/2520 + 12/(-16) and m?
180
Let t(m) = -m**3 - 14*m**2 - 71*m - 538. What is the smallest common multiple of 9 and t(-12)?
234
Suppose -733 - 3231 = -4*t. Let c be (3 + 6071)/(2 - -4). Let b = t - c. Find the common denominator of 77/6 and b.
6
Let z = 18175739/153023750 + -2/224375. What is the common denominator of -23/372 and z?
4092
Let x = 3613677422775 - 284786690321137491/78808. Let o = 6/9851 - x. Let k = o - -12347/72. Find the common denominator of -87/8 and k.
72
Let q be -4 + (-6307)/(-28) + 9/12. What is the common denominator of 11/(-33) + 208/q and -62/15?
555
Suppose -3*y + 24*y = 42. Suppose -o = -y*z - 5*o - 18, 0 = -3*o - 15. Calculate the smallest common multiple of 72 and z.
72
Suppose -92*p + 97*p = 455. Calculate the common denominator of (2 + 1098/(-548))*(3 + p) and -31/4.
548
Let o be (-5)/(35/(-2)) + 115/(-35). Let j be ((-10)/o + -4)*(-1 - -7). Find the common denominator of -91/10 and 2/j*26/(-14).
70
Calculate the common denominator of 4/80 - (-6063)/12040 and (4/60)/((-14)/426).
280
Suppose -153 = -0*z - 57*z + 417. What is the lowest common multiple of z and 306?
1530
Suppose -357*y + 18172 + 20628 = 613*y. Let s(k) = 6*k**3 - 2*k - 1. Let z be s(-2). Let q = -27 - z. Calculate the smallest common multiple of q and y.
360
Let v(h) = h**2 + h + 1. Let j be v(-5). Calculate the least common multiple of 62 and 36/j - 2/(-7).
62
Suppose -174362 = -3*a - 4*i, -116245 = -2*a + 4*i - 3*i. Let j be 2/(-17) - a/153. What is the common denominator of -29/20 and (-6)/(-5*16/j)?
20
Suppose 19*x + 37*x + 481 - 6081 = 0. What is the smallest common multiple of 700 and x?
700
Let x(g) = -5015*g + 10037. Calculate the lowest common multiple of 3 - 2/(-1 + -1) and x(2).
28
Suppose 0 = -4*i + 8*p - 12*p - 3136, 754 = -i + 5*p. Let r = -751 - i. Calculate the least common multiple of 16 and r.
112
Let m(n) = n**3 - 15 - 3*n + 33 + n**2 + 3*n. What is the smallest common multiple of (5 - 102/12)*120/(-35) and m(0)?
36
Let y be 12/(0 + 2)*2805/10. Calculate the common denominator of (2/28*-4)/(66/y) and 69/2.
14
Let g = 3654 + -6938. Let s = -26307/8 - g. Find the common denominator of 43/56 and s.
56
Let z = -149 + 214. Let o = -63 + z. Find the common denominator of -1 + o/3 + (-123)/(-27) and 17/11.
99
Suppose 2*v + 2*j = 0, -2*v - 20 = -2*j - j. What is the smallest common multiple of (v*3)/(65/(-780)) and 18?
144
Suppose 5*h = 7*d - 5*d - 12, -3*h + 18 = 0. What is the smallest common multiple of d and 9?
63
Suppose 4*t + 4606 = -3*x, -6*x + 1518 = -7*x + 3*t. Let h = 2216 + x. Calculate the smallest common multiple of 8 and h.
2744
Let p = 58 + -123. Let h = 66 + p. What is the common denominator of 17/8 and ((-159)/21 + h)*(-21)/27?
72
Suppose 3*l - 20*g + 19*g - 4988 = 0, -l + 4*g = -1670. Calculate the smallest common multiple of l and 8.
6648
Calculate the common denominator of 45/22 and (481/30 - 16)*985/24 - 1.
1584
Suppose 1626*s - 1639*s + 1144 = 0. What is the smallest common multiple of ((-105)/(-60))/((-2)/(-8)) and s?
616
Suppose 16*g = -4*g - 388840. Let l = -1749601/90 - g. Calculate the common denominator of 11/20 and l.
180
Let n(r) = 48*r**2 + 20*r - 36. Calculate the least common multiple of n(3) and 46.
10488
Let p(i) = -2*i**2 + 15*i - 49. Let r be p(13). What is the common denominator of -17/6 and (-1284)/(-54)*(-36)/r?
24
Suppose -1631*c + 1626*c = i - 19, -4*c + 11 = 5*i. Let a = 150 - 90. Calculate the lowest common multiple of c and a.
60
Let t(h) = h**3 - h**2 + 2*h + 323. What is the smallest common multiple of t(0) and 3?
969
Suppose -2*x = 2*b - 4*b + 8, -4*x - 3*b - 16 = 0. Calculate the common denominator of 115/8 + (x - -2) and (-417)/63 - 0 - 2/(-6).
56
Let g(b) = 2*b**3 + 19*b**2 - 12*b - 2. Let q(u) = u**3 + 9*u**2 - 5*u - 1. Let s(j) = -2*g(j) + 5*q(j). What is the smallest common multiple of 3 and s(-6)?
123
Let r(i) = -i**2 - 30*i - 8. Let b be r(-34). Calculate the