84 = -32*u. Suppose 2*n + 2749 = -u. Let a = 270963/100 + n. What is the common denominator of a and 53/14?
700
Let w = -16629 - -16684. What is the least common multiple of w and 1970?
21670
Let v = -10535 + 284383/27. What is the common denominator of -7/39 and v?
351
Let p = -64 + 58. Let d(u) = 2*u + 9. Let y be d(p). What is the least common multiple of 4 and (-4 + 4 + -1)*y?
12
Suppose 19*c + 14 = -5. Let n(y) be the first derivative of -19*y**4/4 + 2*y**3/3 - y**2/2 - 2*y - 18. What is the smallest common multiple of 4 and n(c)?
20
Let a be 11/(1155/(-24))*(1 + 0). Let v = a + -356/35. Find the common denominator of v and 16/29.
145
Let y = 13466 - 242297/18. What is the common denominator of 115/3984 and y?
11952
Find the common denominator of -6*2/(-432)*111/6*4 and 41/312.
936
Let p = -1603/639 + 17/142. Find the common denominator of 101/66 and p.
198
Let w = -81 - -91. Suppose -3*d + 70 = 3*a + 1, 2*d - 47 = -3*a. What is the least common multiple of d and w/(-20) - 137/(-2)?
748
Let v be (-3 - (-9)/4)/((-1)/(-4)). Let m(d) = 8*d + 10. Let t be m(v). Let j = t + 253/18. What is the common denominator of 47 and j?
18
Suppose 475*v - 471*v - 5628 = 0. Let m = v + -49176/35. Calculate the common denominator of 9/100 and m.
700
Let a = -178 - -183. Suppose 5*n - 21 = -86. Let b = n + 19. What is the least common multiple of a and b?
30
Let a = 483 + -44427/92. Find the common denominator of a and 29/230.
460
Let l be ((-5)/(-2))/((-29)/(-58)). Find the common denominator of -33/64 and ((-90)/(-24) - l)*(-22)/(-20).
64
Suppose 2*r - 31*r + 6699 = 0. Suppose 3*f = -2*v - 14 + 119, 5*v - 3*f = r. Calculate the lowest common multiple of v and 9.
144
Calculate the common denominator of -161/90 and (5 - 3)/(-7 + 932/92).
180
Suppose -8*f - 16 = -24*f. What is the common denominator of ((-333)/30 + f)/(342/45) and 67/10?
380
Let w = 16591/103070 + 5/1874. Find the common denominator of 59/500 and w.
5500
Let z = -3185 + 3705. What is the least common multiple of 1144 and z?
5720
Suppose -5*o + 265 = -3*w + w, -5*w - 5*o - 715 = 0. Calculate the common denominator of 13/22 and (278/w + 2)*-3.
770
Let a(d) = 3*d - 12. Let k(o) = -o. Let f(h) = a(h) + 2*k(h). Suppose 14 + 37 = 3*g. Calculate the lowest common multiple of g and f(22).
170
What is the common denominator of 7/2904 and -53*1/(-8) - 259/74?
2904
Let q = 269485/24 - 11234. Let l = -138059/65820 - 21/1097. What is the common denominator of l and q?
120
Suppose 5*c + 11 = -2*h, 19 = 2*h - 16*c + 11*c. Suppose v + h*j = 4, 14 = -5*v - 2*j + 58. Calculate the lowest common multiple of v and 5.
10
Find the common denominator of 53/36 and 38/1026*(23 - 0)*(-6)/(-3).
108
Suppose 5*y = 5*b - 5, 5*b = y + 2 - 17. What is the common denominator of (-3)/b - 343/(-336) and -51/200?
1200
Let t(c) = -36*c**3 - 2*c**2 - 2*c. Let p be t(-1). Let y = 52 - p. Let k = 22 - y. What is the least common multiple of 4 and k?
12
Let d(i) = -11*i + 27. Let t be (-38)/3 - (11 - 192/18). What is the least common multiple of 20 and d(t)?
340
Let s(u) = 7*u - 20. Let c be s(5). Let y(r) = r**3 - c*r + 7 + 9*r + 8*r - 4*r**2. Calculate the least common multiple of y(3) and 8.
8
Let d = 180043/18 + -163840237/16380. Find the common denominator of d and 131/3276.
16380
Find the common denominator of 31/68 and (-834)/(-112) - (-136)/(-238) - 6.
136
Let y(t) = 3*t + 35. Let m be y(-7). Suppose 3*d = -0*d - 3*k + 12, 5*d = k + m. Calculate the smallest common multiple of d and 9.
9
Let o(n) = -2*n**3 - 8*n**2 + 13*n + 42. Calculate the smallest common multiple of 396 and o(-6).
1188
Let t = 110786 - 113223427/1022. Let x = t - 6/73. Find the common denominator of x and -131/550.
3850
Let t = 448 - 516. What is the common denominator of -27/10 and (-130)/372 - t/306?
2790
Let j(r) = -37*r + 17. Let l be 7/(-35)*-5 - 2. Calculate the lowest common multiple of j(l) and 24.
216
Let d = 54 + -37. Suppose 7*x - 39 = d. Find the common denominator of ((-2)/(x/(-10)))/(8/(-76)) and 29/48.
48
Calculate the smallest common multiple of 22 and 18*((-108496)/(-12))/4.
447546
Let v = 697380341/984 + -708720. Calculate the common denominator of v and -71/2296.
6888
Let g = 344672 - 135800847/394. Find the common denominator of 119/60 and g.
11820
Suppose 20*c = -448*c - 11*c + 1519388. What is the lowest common multiple of c and 2?
3172
Let z = 20367 + -23625697/1160. Find the common denominator of z and 67/580.
1160
Suppose -40*s - 35 = -33*s. Calculate the smallest common multiple of 84 and 1/4*-4 - s*5.
168
Find the common denominator of (-10 + (896/21 - -4))*(-1)/14 and 22/2865.
20055
Suppose -3*g - 4*f + 8*f - 4 = 0, -2 = 3*g - 2*f. Suppose g = 3*j - 12*j + 216. Calculate the lowest common multiple of 33 and j.
264
Let z = -152810 - -94742147/620. Calculate the common denominator of z and 55/1736.
8680
Suppose n + 2*z - 3645 = 245, -n - 5*z = -3893. Calculate the smallest common multiple of 1188 and n.
42768
Let g be (862/(-8) + 2)*2531287071/(-41488068). Let y = g + -3/6914678. Let h = -6455 + y. What is the common denominator of h and 47/20?
80
Let l = -16 - -71. Let x(y) = -828*y + 30681. Calculate the lowest common multiple of x(37) and l.
495
Let p = -157109 + 157208. Calculate the lowest common multiple of p and 2/(-5) + 831/15.
495
Let d = 1279577/22328211 - -2/19133. What is the common denominator of -79/18 and d?
7002
Let c = -1459 + 1491. What is the smallest common multiple of 76 and c?
608
Suppose -103968 = -1294*x + 630*x + 640*x. What is the smallest common multiple of x and 798?
30324
Let g be (10/(-25))/(1/210). Let b be ((-2)/(-2690))/(g/2654470). Let n = -4/807 + b. Find the common denominator of n and -25/3.
6
Let y = -188 + 89. Let d = y - -157. What is the lowest common multiple of d and -2 - -9 - (-1 + 0)?
232
Suppose 6*p - 84 - 114 = 0. Let d be 43 - ((-1 - -5) + -7). Suppose -d = -4*v + 2*j, 0*v - 2*j - 28 = -2*v. Calculate the smallest common multiple of p and v.
99
Let g(v) = -v**3 - 10*v**2 + 13*v - 122. What is the smallest common multiple of 5638 and g(-12)?
28190
Suppose 0 = k + 5*a - 8, k + 3*a + a = 6. What is the common denominator of (12/(-20))/(k/105) and ((-812)/(-1827))/(26/(-21) - -1)?
30
Let d(o) = o**3 + 2*o**2 - 11*o - 12. Suppose -2*a + 6*r - 9*r = 21, a + 28 = -5*r. Calculate the least common multiple of 634 and d(a).
3804
Find the common denominator of (6/90)/((-2)/205)*-2 and -77/1275.
1275
Suppose 0 = 3*l - 3 + 9. Let s be 56/(3/(-6)*l). Find the common denominator of -25/3 and (-1)/(-6)*2 - 49/s.
24
Suppose -2*l + 454 = 5*k - 1570, -k = -5*l - 421. Suppose -k = -16*t + 2*t. Calculate the smallest common multiple of t and 5.
145
Let r = 38/113 - 6449/2712. What is the common denominator of -3 - ((-329)/44 + 2) and r?
264
Let p(z) = 4*z**2 + 89*z - 27. Let f = -47 + 24. Calculate the lowest common multiple of p(f) and 72.
504
Let n be (-23469)/(-18)*6/(-33). Let v = -237 - n. What is the common denominator of v and -59/10?
330
Suppose 2*x - 14 = 4*c, -3*x + 7 = -3*c + 1. Let y(w) = -w**3 - 4*w**2 - 4*w + 3. What is the lowest common multiple of 4 and y(x)?
12
Suppose -483 = 5*n + l, 4*n - 254 + 638 = -2*l. Let a = 48 + n. What is the common denominator of -1 + a/(-27) + -3 + 5 and 61/12?
108
Suppose 309 + 99 = -34*y. Let g be 72/7 + (-2)/7. Let z = g - y. Calculate the least common multiple of 6 and z.
66
Suppose -24*q = -32*q + 416. What is the common denominator of q/6*18/96 and 75/4?
8
Let t(m) = -6*m + 472. What is the smallest common multiple of t(-2) and 132?
1452
Suppose -3*x = 5*i - 71, 106 = 5*x - 30*i + 26*i. Calculate the smallest common multiple of x and 108.
1188
Let w be (-4)/5 + 1091106/180. Let g = -6070 + w. Calculate the common denominator of -99/4 and g.
20
What is the common denominator of 59/656 and (-73781)/(-4920) + -349 + 334?
9840
Let p = 6675377/44 + -151573. Let c = 139 - p. What is the common denominator of c and -67/8?
88
Let o(b) = -5*b - 3. Let h be o(0). Calculate the common denominator of -13/35 and (-1 + h/(-2))/((-15)/134).
105
Let p = 13 + 45. Let x = p - 50. Suppose x*j - 107 = 149. Calculate the lowest common multiple of 8 and j.
32
Let k be 86*18/(-6) - 4. What is the common denominator of 39/8 and k/(-72) - ((-41)/(-3) + -14)?
72
Suppose -5