pose 3*c + h = 6*c. What is the common denominator of (-31)/2 + -8 + c and -65/4?
4
Suppose -5*w - 110 = -160. Calculate the least common multiple of 1410 and w.
1410
Calculate the lowest common multiple of 744 and 675/63 - 11 - (-41668)/14.
2976
Let j = 1/1945 + 25234/99195. Find the common denominator of (-490)/21 + 1/(-2) and j.
102
Suppose 0 = 14*j + 1096 + 2124. Find the common denominator of 93/2 and (-138)/j - 974/2940.
294
Let t = -238/25 - -7687/600. Let l be (3 + 516/(-162))*1/2. Let p = -430/27 - l. Calculate the common denominator of t and p.
24
Suppose -8*d + 3*d = -20. What is the smallest common multiple of d and (-255)/(-425)*(-600)/(-18)?
20
Let y(i) = -379*i + 1577. What is the lowest common multiple of 1920 and y(3)?
21120
Let b(m) = m - 1. Let p(l) = 107*l**2 - 5*l - 6. Let y(c) = 2*b(c) + p(c). Let j be y(6). Calculate the common denominator of (-4)/26 - (4 - j/364) and -37/7.
14
Suppose 3*b - 90 = b. Let c be (5642/(-14))/(-31) - 10/1. Suppose -c = 7*m - b. What is the least common multiple of 16 and m?
48
What is the smallest common multiple of 12 and (-14)/(-35)*(484 - -1)?
1164
Let b = -47 + 51. Suppose -k - b*k - v = -3, -2*v = -k - 6. Find the common denominator of (-43)/5*(2/(-4) + k) and -71/10.
10
Let o(a) = a**3 - 5*a**2 + 3*a + 4. Let m be o(4). Let t be 43374/36 + m/(-1). Let f = -1196 + t. Calculate the common denominator of 85/18 and f.
18
Suppose 12 = -2*n + u + 87, -2*u = -5*n + 185. Calculate the smallest common multiple of 81 and n.
2835
Let v = 681957905/981 - 695166. Calculate the common denominator of -58/3 and v.
981
Let h be -1 + ((-54)/(-9) - 7382). Let z = -118069/16 - h. Find the common denominator of -31/32 and z.
32
Suppose 13*y + 12108 = 16008. Calculate the smallest common multiple of y and 16.
1200
Suppose 56*d - 28 = 52*d. Suppose 5*v = 4*m - 12, 3*m + 5*v + 3 = 12. What is the least common multiple of d and m?
21
Suppose 4*a - 4*x - 116 = 0, -8*x - 3 = -7*x. Find the common denominator of (-2 + (-4)/(-24))/(6/a) and -19/42.
126
What is the common denominator of -103/20 and (10 - 6) + ((-12)/(-465))/(-4)*564?
620
Let x = 1360 - 801. Suppose 3*u + x = 5*k + 8987, k = 4*u - 11226. Let p = -44875/16 + u. Calculate the common denominator of p and -9/22.
176
Let h be 25/(-6) + (-1)/(-6). What is the common denominator of -121/48 and 2*2/h - (-327)/36?
48
Suppose -3*r - 1696 = 329. Calculate the common denominator of ((-690)/(-96))/5 + 6/8 and (r/84)/3 + -5 + 4.
112
Suppose 19*c + 140 = 21*c. Suppose 0 = 2*j - 158 + c. What is the smallest common multiple of j and 12?
132
Suppose 1712 + 121 = 9*r + 38*r. What is the lowest common multiple of 4/(-6) + 116/12 and r?
117
Let q(a) = 8*a**2 - 59*a + 630. What is the lowest common multiple of 2 and q(10)?
840
Let g = -92856 + 31014005/334. Find the common denominator of g and -101/12.
2004
Calculate the smallest common multiple of -5*1 - 60273/(-55 + 18) and 2030.
8120
Let f = 5283/10 + -534. Suppose 53*c = 46*c + 56. Let m(q) = -2*q + 24. What is the common denominator of f and m(c)?
10
Let a = 82 + -82. Suppose a = 2*d + 4, 3*n - 52 = -32*d + 31*d. Calculate the lowest common multiple of 15 and n.
90
Let s = -1188 + -11. Let i = s - -2323/2. What is the common denominator of i and 55/36?
36
Suppose -3*o = -5*z - 367, 0 = 5*o - 79*z + 77*z - 637. What is the smallest common multiple of 13 and o?
1677
Let k(i) = 25*i**3 - 8*i**2 - 3*i + 10. Find the common denominator of k(1) and -131/5880.
5880
Let k = 8104 + -7712. Calculate the least common multiple of 104 and k.
5096
Suppose -d + 101523268 = -5*x, d - 5*x = -4*x + 101523276. Let y = -3450933535/34 + d. Let o = y + -25235. Calculate the common denominator of 97/2 and o.
34
Let u = -62/51 + 5119/3162. Find the common denominator of 149/192 and u.
5952
Let t be 2/(80/(-138)) - (26 - 28). Let g = -7/10 - t. What is the common denominator of 93/4 and g?
4
Let v be (2 - 4) + 13/(13/64). What is the common denominator of 0 + 3*(-38)/(-300) and 84/(-294) - v/175?
50
Find the common denominator of (59*(-1)/(-78))/(86 + 36/(-18)) and 56/9.
6552
Suppose 5250 = 583*u + 64*u + 103*u. Calculate the least common multiple of u and (-1)/(-1 + 14/15).
105
Calculate the common denominator of 20/27 and (-1)/(216/497)*-2*10/280.
432
Let c be ((-45)/(-3))/(33/(-44)). Calculate the common denominator of 23/9 and 119/(-153)*c/14.
9
Let j = 37303801/1896 - 19675. Calculate the common denominator of j and 61/474.
1896
What is the common denominator of 1*(318/(-4))/(-3) and 3 - -2 - 931/490?
10
Suppose -s = -0*s - 65. Let j = s - 129. Calculate the common denominator of 31/7 and (15/10 + -2)/((-2)/j).
7
Let k = 58 - 48. Suppose k = -2*l - 8. Calculate the smallest common multiple of 10 + l - (-3)/1 and 8.
8
Suppose 0 = -3*j - 5*d + 162, 0 = -16*j + 13*j + 2*d + 162. What is the lowest common multiple of j and 216?
216
Suppose 5*s = 2*u - 0*s - 31, -3*s - 25 = -2*u. Let b = -235 + 238. What is the lowest common multiple of b and u?
24
Let g = -5332/3 + 213619/120. Calculate the common denominator of g and -58/25.
200
Let b(p) = -3*p - 59. Suppose 55 = 8*n + 223. Calculate the smallest common multiple of b(n) and 28.
28
Let u(m) = m**3 + 11*m**2 + m + 13. Let c = -23893 + 23916. What is the least common multiple of c and u(-11)?
46
Let p(a) = -a**3 + 5*a**2 + 7*a - 17. Suppose 5*d = 3*c - 0 + 5, 5*c - 3*d = 13. Let x = -8 - -12. Calculate the smallest common multiple of p(c) and x.
36
What is the common denominator of -55/544 and 3/(3/(-2))*(-51)/(-748)?
5984
Let o(r) = r**3 + 2*r + 12. Let n = -444 - -220. Calculate the least common multiple of 14/4*(-1920)/n and o(0).
60
Let d = 883 - 485. Calculate the common denominator of 34/21 and -4 + (d/36 - 3/(-18)).
63
Find the common denominator of 46/4005 and -36 + 284/8 - (1 + 377/(-267)).
8010
Suppose 4*i - 8 = -2*o, 4*o - 4*i + 2 = 3*o. Let a = -11 - -27. What is the lowest common multiple of 108/26 + o/(-13) + 0 and a?
16
What is the common denominator of (-33)/(-105)*(-28)/(-48) and 3092/(-336) - (-14 - (10 - 13))?
420
Suppose 0 = 334*q - 232*q + 586*q - 45408. Calculate the least common multiple of 3058 and q.
9174
Let x = 112 + -113. Let w(n) = 29*n**2 + 19*n - 1. What is the smallest common multiple of w(x) and 33?
99
Let s = 12972 + -12003. Calculate the least common multiple of s and 255.
4845
Let f(t) = t**2 - 23*t - 78. Let k be f(21). Find the common denominator of (-2)/(-6)*-231*6/k and 101/32.
160
Let x = 404 + -6559/16. Calculate the common denominator of -47/2868 and x.
11472
Let n = 2/43917 + 2590913/4172115. Find the common denominator of n and 23/190.
190
Calculate the smallest common multiple of (-840)/(-504)*(-111)/(((-25)/(-6))/(-5)) and 6.
222
Suppose 0 = w - 81 + 145. What is the common denominator of 95/4 and (3/w)/((-323)/(-166) + -2)?
96
Let i = -3756817/72 - -52177. Calculate the common denominator of i and (-4130)/408 - (-90)/2295.
72
Let g(t) = -984*t + 401. What is the lowest common multiple of g(-1) and 25?
6925
Suppose -2*y + 293 = 5*v, -2*y = 4*v + 2*y - 232. Suppose -2*u + 42 = -3*h - v, 241 = 5*u + 4*h. Calculate the least common multiple of 14 and u.
98
Let v(x) be the second derivative of x**4/3 - x**3/3 - 11*x**2 + 57*x. Calculate the least common multiple of v(-3) and 152.
760
Let n = 56 - 52. Suppose -n*z + 22*z = -810. Let f = -269/6 - z. Calculate the common denominator of -37/2 and f.
6
Let s = 29/2 - 27. Let r = 2155854043/314738 + 4884/9257. Let i = -6851 + r. Calculate the common denominator of i and s.
34
Let h = 1502791/55332 - 4324/159. What is the common denominator of -39/4 and h?
1044
Let j = 13547 + -3386671/250. Calculate the common denominator of j and -47/250.
250
Suppose -54 = -2*u - s + 55, -4*s - 50 = -u. Suppose -331 = -11*a + u. What is the smallest common multiple of 55 and a?
385
Suppose 0 = -6*k + 2*k + 96. Let g = -60 - -73. What is the smallest common multiple of k and g/((-39)/(-18))*(3 + -2)?
24
Let c be (-2)/3 + 233116/2145. Let p = c - 2289/22. Calculate the common denominator of 109/80 and p.
240
Let t = 15843 - 15816. Calculate the smallest common multiple of t and 1347.
12123
Let v = 1 - -102. Suppose -v*h + 15 = -98*h. Suppose 7 = h*n + 2*c, 0 = n + 3*n + 3*c - 9. What is the least common multiple of n 