a + 5. Let s be g(f). Let k = 1431607/48 + s. Find the common denominator of -1/16 and k.
48
Suppose -n = 5*s + 124 - 1583, -4427 = -3*n - 5*s. What is the common denominator of -61/9 and ((-4)/6 + 0)*n/392?
63
Let k = -101 + 168. Suppose -2*q + k = 3*s, 0*s + 9 = s - 2*q. Find the common denominator of -51/10 and ((-2)/s)/((-24)/(-64)).
570
Let r(l) be the third derivative of l**4/24 + 9*l**3/2 - 32*l**2. What is the lowest common multiple of r(-19) and 3?
24
Suppose -14344 = -26*z + 2296. What is the least common multiple of 320 and z?
640
Let y be (-5 + 11)/(9 + -8). Calculate the common denominator of (-791)/154 - y/(-33) and -3/458.
5038
Let w = -373 + -23. What is the common denominator of 41/4 and 213/(-40)*(-330)/w?
16
Suppose 83 = -18*k + 11. Suppose -5*s = -5*t, -s + 1 = -3*t - 3. What is the common denominator of 23/6 and (-25)/s + (-8 - k)?
6
Let n = 756 - 6812/9. Let b = 49 - 185. Find the common denominator of n and (-6)/(-10)*b/36.
45
Let i(k) = -k**3 + 3*k**2 - k - 1. Let t be i(3). Calculate the least common multiple of 15/6*(-108)/(-10) and t - (-4 - (8 - -4)).
108
Let w = 289 - 280. Let c(d) = -d**3 + 8*d**2 + 10*d + 16. Calculate the smallest common multiple of 5 and c(w).
25
Let s = 116233288/627 + -185380. Find the common denominator of s and 1/627.
627
Suppose -255*g = -247*g - 61056. What is the lowest common multiple of 10 and g?
38160
Suppose -3*t + 117 = 3*g, -131*t + 136*t + 8*g = 180. Let v = -59 - -99. What is the smallest common multiple of t and v?
440
Suppose -50*i = -i - 490. Calculate the common denominator of (-153)/i*10/(-60) and -73/10.
20
Let k = 104 - 32. Suppose -t - k = -4*t. What is the smallest common multiple of t and 18?
72
Let k be (166300/28)/5*(-4)/(-5). Let j = -948 + k. What is the common denominator of 31/15 and j?
105
Let r(v) be the third derivative of 2*v + 11*v**2 - 7/6*v**3 + 0 + 1/60*v**5 + 0*v**4. Calculate the smallest common multiple of 60 and r(3).
60
Calculate the smallest common multiple of 345 and 16 + 96 + -15 + -5.
1380
What is the least common multiple of 26 and ((-516)/(-10))/((-592)/(-2590)*3/8)?
7826
Let g = 379 + -365. Suppose 70 + 0 = g*x. Calculate the smallest common multiple of 23 and x.
115
Suppose 24*s - 27*s + 9 = 0. Suppose 0*u + 5*y + 5 = -5*u, 3 = -y. Suppose u*v = -4*a + 78, -a + 5*v = -s - 0. Calculate the lowest common multiple of a and 27.
54
Let l(h) be the third derivative of h**5/60 + 5*h**4/12 + 25*h**3/6 + 36*h**2. What is the smallest common multiple of 19 and l(-4)?
19
Suppose -50 = -5*y + 5*r, -3*y + 2*r + 27 = -1. What is the least common multiple of 12 and (-1)/y + (-2568)/(-64)?
120
Let p = 2/2015 + 35811/56420. Find the common denominator of (1 - 1) + (-11)/(3520/(-910)) and p.
1120
Let u(m) = m**2 - m - 54. Suppose 3*z = -r + 17, 3 = -5*z + 6*z. Suppose 0 = -5*o - 0*o + 110. What is the smallest common multiple of u(r) and o?
22
Let b(l) = 28*l**3 + 3*l**2 - l + 2. Let r be b(-4). Let a = 13931/8 + r. Find the common denominator of 8/20*(-22419)/1128*1/9 and a.
120
Let f be 2170919442/(-22140676060) + -1 + 1. Let k = f + -4/565679. Calculate the common denominator of 145/12 and k.
6180
Let f = 128084497/1531631610 - 2/4478455. Calculate the common denominator of 91/6 and f.
1710
Let x = 21998663396/45 - 488891231. Let m = -32043 - x. What is the common denominator of -31/27 and m?
135
Let u be (-13)/(-3)*14 - 0. Let x = 34445 - 34383. Let t = x - u. Find the common denominator of -41/13 and t.
39
Let h = 1111/54 + -1220341/59346. Calculate the common denominator of h and -36/1727.
12089
Let i = 5305/4 + -1337. Suppose 0 = y + 3*y + 12. Calculate the common denominator of (2625/(-48))/7 - y and i.
16
Suppose -4*x + 16 = 2*t, 4*t + 60*x - 58*x = 26. Calculate the least common multiple of 4698 and t.
4698
Suppose 0 = -5*b - 3*j - 2541, -23 + 17 = 3*j. Let c = 39047/77 + b. What is the common denominator of -123/70 and c?
770
Let l be (-16)/12*(-39)/4. Calculate the common denominator of ((-44)/(-54))/2 - (l + -11) and -13/6.
54
Let q be 88/(-8)*-2*4*7. Suppose -q + 209 = x. Let s = x - -775/2. Calculate the common denominator of -3/22 and s.
22
Let q be (159318/12995)/(14/100). Let b = q - 613/7. Let z = b - 246887/46782. Calculate the common denominator of 67/33 and z.
198
Let s = 408 + -828. Calculate the common denominator of 104/182 + (-523)/s and -77/18.
180
Suppose 0 = 5*d - 0*d + 700. Let y be d/(-30) - (2 - 12/9). Find the common denominator of (-273)/28*y/6 and -55/14.
14
Find the common denominator of -89/88 and 1*8227/24320 + (-5)/20.
14080
Let b be 0 - (3 - 4) - 37*-2. Let c = -219/2 + b. Let o = -3643/2960 + 8/185. Find the common denominator of o and c.
16
Let y be (-12)/(-15) + (-4528254)/(-235). Let t = 96276/5 - y. Let d = 17593/940 + t. Find the common denominator of 77/18 and d.
180
Calculate the common denominator of 95/1212 and 9/(-2) - ((-406025)/90900 + 0).
3636
Let g = 31 - 12. Let t(f) = -4*f**2 - 39*f - 95. Let i be t(-16). Calculate the smallest common multiple of 1/(22/4) + (-1890)/i and g.
76
Let u(j) = -j + 16. Let o be u(14). Suppose -4*k + 248 = -x, -4*x = -k - 2*x + 55. Find the common denominator of (45/k)/(o/10) and -79/4.
28
Let t(n) = n**3 + n**2 + n + 14. Calculate the smallest common multiple of (-5)/(35/(-14)) + 7 and t(0).
126
Let w = -748 - -491. Let i = w - -281. What is the smallest common multiple of i and 12?
24
Let d(m) = m**2 - 5*m + 3. Let q be d(4). Calculate the common denominator of (-1 + 3)*(-484)/144 and (q/3)/((-2)/94).
18
Let x = -66667/198 + 3022/9. Calculate the common denominator of 45/13 and x.
858
Suppose 0 = -2*v + 4*t + 1848, -5*t + 828 = 4*v - 2790. Calculate the smallest common multiple of 256 and v.
14592
Let q(p) = 9*p**2 - 584*p + 5291. Calculate the smallest common multiple of 4 and q(9).
764
Let y = -1284 + 1230. What is the common denominator of (-17)/5*(-15)/36 and (12/60)/(-3 - y/10)?
12
Let g = -70465/7 + 6128089/609. Let d = -414208/261 - -1587. Let b = g + d. Find the common denominator of b and -7/30.
90
What is the common denominator of -17/806 and -22*((-12)/28 - (-27270)/65100)?
4030
Let d = 514191/1062250 - 324/607. Calculate the common denominator of d and 31/125.
1750
Let y = -789291/7 + 113495. Let r = y - 522770/707. What is the common denominator of r and 9/4?
404
Suppose -639*i + 2925 = -634*i. What is the lowest common multiple of 195 and i?
585
Let c = 2/33 + 25/11. Let v = -929 + 1660. Let a = -5141/7 + v. Find the common denominator of c and a.
21
Let z(o) = o**2 + 31*o - 2. Let k be z(-9). Find the common denominator of -97*(-2)/(-8) + -1 and (-119)/(-3)*(412/k - -2).
100
Suppose -7*r - 2*t = -2*r + 310, -5*r + 3*t - 285 = 0. Let j = r - -72. What is the lowest common multiple of j and 32?
96
Let a = 10 + 10. Let r = 95/4 - a. Calculate the common denominator of (158/12)/((-12)/18) and r.
4
Let j = 29255 + -438893/15. Calculate the common denominator of j and -62/2025.
2025
Suppose 4*j = 2*f - 271 + 831, 4*j - 572 = 5*f. What is the least common multiple of j and 138?
138
Let q be (10 - 1/((-2)/4)) + 3. Find the common denominator of 65/56 and 9/30*2*q/(-10).
280
Let g(k) = k**2 + k - 3. What is the least common multiple of 13 and g(8)?
897
Suppose -17 = -w + 58. Suppose 3*m = 2*i - 125, 2*m + 73 + 102 = 3*i. What is the least common multiple of w and i?
825
Let v = -25204 + 17844425/708. Calculate the common denominator of 77/1062 and v.
2124
Suppose 43*w + 102 = 46*w. Suppose -4*i = -3*m + w, 3*i - 5*i + 4 = 2*m. Calculate the smallest common multiple of 52 and m.
156
Let l = -421/2 + 703/3. Let w = 32193237/10 - 3214905. Let f = 4411 - w. Calculate the common denominator of l and f.
30
Calculate the common denominator of 6*(-8)/80*(-70)/(-16) and 24/(-36) - 144/(-92).
552
Let w = 40 + -36. Calculate the smallest common multiple of 4 + (-2 - 1) - -2 and w/6*(5 + 4).
6
Let r be 4/(-30) + ((-12394)/3120 - -3). Let a = r + 29/13. What is the common denominator of 79/12 and a?
24
Suppose 0 = -m - 3 + 12. Suppose 2*q - 4*q - 4*r + 464 = 0, -225 = -q + 5*r. Let i = q + -215. Calculate the lowest common multiple of i and m.
45
Let u be ((-7)/(-49))/((-34)/(-8)). Let w = u - -1285/714. What is the common denominator of 69/152 and w?
456
Let y = 684 + 4302. Cal