/120*2499/34 and -29/714.
2856
Let z be 29484/(-9) - (16/2)/2. Find the common denominator of (z/124)/5 + 4 and -31/7.
217
Let x be 9/(-6)*8/(-3). Suppose 5*d = 2*a - 5, -4*d + 4 = 4*a + 8. Suppose x*j = -a*j + 60. What is the smallest common multiple of 30 and j?
30
Let z = -6999 - -454962/65. Calculate the common denominator of -169/90 and z.
1170
Let r = 1/161618 - 2747881/60606750. Let q = 2264/3 - 15704/21. What is the common denominator of q and r?
2625
Suppose 4*t = 12, t - 29 + 8 = -3*j. Suppose 0 = a + j - 32. Calculate the smallest common multiple of 4 and 412/a + 14/91.
16
Let a be 153 - 3/(-6)*4. Let w = -13 - a. What is the common denominator of -1*3 - w/64 and 43/6?
24
Calculate the common denominator of 85/144 and ((-658)/38 + 1)*(12 - 6920/576).
2736
Let j(c) = -11*c**2 - 3*c + 12. Let w be j(-5). Let f = -237 - w. Calculate the common denominator of 21/23 and f.
23
What is the smallest common multiple of 9/1701*18 + (-58544)/(-42) and 10?
6970
Let r = -69 + 70. Let o be -141*r*3/90*6. Let s = -3283/115 - o. Calculate the common denominator of 48/7 and s.
161
Let g = 9376 + -8395. Calculate the least common multiple of g and 11.
10791
Suppose -4*d = 270 - 414. Suppose 41*f = 56*f - 2655. What is the lowest common multiple of f and d?
2124
Suppose 4 = 3*q + z, 0 = -4*q + 2*q + 3*z - 1. Let s = -4838 + 28951/6. What is the common denominator of (q - 70/64)/((-15)/(-1010)) and s?
48
Let y = -1774/15 - -582/5. Let v be (-343)/(-4) - 1/(-4). Find the common denominator of y and v/(-15) + 3/(-6).
30
Let p(x) = -x**3 + 15*x**2 + 15*x + 53. Let w be p(16). Suppose 0*g = -5*g - 2*y + 150, -g = -y - w. Calculate the common denominator of g and (-4)/3*38/(-8).
3
Let b = 51840481/1360 - 38118. Calculate the common denominator of -3/80 and b.
1360
Calculate the common denominator of (-37)/((-777)/(-966))*2/(-12) and -32/3861.
3861
Let y(c) = -c**2 + 15*c + 20. Let p be y(19). Suppose -4*i + 48 = -2*b, 2*b + 16 = -5*i + i. Calculate the common denominator of b and p/120*(-102)/(-4).
10
Let n = 103873/49530 - -14/4953. Let y = -5/21 + 1247/210. Calculate the common denominator of y and n.
10
Let g(b) = b**3 - 9*b**2 - 2*b + 15. Let p be g(9). Calculate the common denominator of -125/18 and (p - (-60)/18)*101/(-14).
126
Let t be ((-366)/(-1213961))/((-3)/(-7)). Let g = 108024/14215 + t. What is the common denominator of g and (0 - (-4)/(-6)) + -15?
15
Suppose -3*o + 20 = o. Let t = 1091 - 1073. Calculate the lowest common multiple of t and o.
90
Let y = -124128 + 124132. Suppose 0 = -0*s + 4*s + 160. Calculate the least common multiple of y and 6/21 - s/7.
12
Let m = 390564/203 + -1924. What is the common denominator of m and 34/13?
2639
Suppose 0 = 5*y - r + 14066, y = 3*r + 2*r - 2794. Let w = y + 39449/14. Calculate the common denominator of w and 5/6.
42
Suppose -67 = 2*t - 107. Find the common denominator of 20/(-15)*207/6 and (t/(-8))/((-21)/28).
3
Let w = -2146/3 + 23678/33. Let n = -493372/998835 + -2/11751. Let y = n + 12407/510. Calculate the common denominator of w and y.
66
Suppose 181 = -5*v - 4*n, 5*n - 3 - 26 = 1. What is the common denominator of 788/2366 - (-2)/(-7) and v?
169
Suppose 4*r - 4*s = -1252, -2*s = 4*r - s + 1262. What is the common denominator of 6/11 and (r/40 + 8)/((-15)/(-53))?
1320
Let n be (-2 + 0)/(-2) + -67. What is the common denominator of n/385*40/(-18) and (-2 + 16/10)/(480/(-10600))?
42
Let h = -547861300094033/52019710944 + -4/541871989. Let p = 10532 + h. Let n = -1577/288 + p. Find the common denominator of 20/9 and n.
18
Suppose 5*x + 18 = -4*n + 110, 0 = -4*x + 4*n + 52. Let i = -454 - -502. What is the smallest common multiple of i and x?
48
Let b(p) = p**3 - 2*p**2 - 2*p + 4. Let c be b(2). Suppose 26*o - 27*o + 14 = c. Calculate the lowest common multiple of 356 and o.
2492
Let y = -9033/17 + 40024288/75327. What is the common denominator of y and 19/49?
31017
Let x be (0 + 16/(-12))*-3. Suppose -31 - 37 = -x*g. Suppose 2*k - w - 24 = 0, k + w + 1 = 10. Calculate the lowest common multiple of k and g.
187
Let w = 106/293 + -12902/51861. Calculate the common denominator of -1/57 and w.
3363
Suppose -3*q - 31 + 49 = 0. Find the common denominator of (-2)/8*q*(-88)/84 and 43/13.
91
Let i(o) = -86*o**2 - 7*o + 8. Let k be i(-4). Let r = -529/18292 - 12/269. Find the common denominator of r and k/(-175) - ((-6)/5 + 1).
476
Let m(h) = 6*h**2 - 4*h - 1. Suppose 2*p + 21*u = 20*u - 4, -2*p - 36 = 5*u. What is the least common multiple of p and m(5)?
258
Let h = -614 + 656. Let p = 1 - -9. Let d = h - p. What is the smallest common multiple of 16 and d?
32
Let m(q) = q**3 - 134*q**2 - 132*q - 283. Let f(h) = 17*h**2 - 2*h - 1. What is the least common multiple of m(135) and f(-1)?
1098
Find the common denominator of 24/22 + -1 - (-29 - (-79819)/2090) and 111/320.
320
Suppose -y - 4*k = 3272, 4*y - 2*y + 6514 = -2*k. Let b = y - -22717/7. What is the common denominator of 61/5 and b?
35
Let w = -166 + 379. Suppose 9*q - w = 6*q + 3*b, 3*q - 217 = -b. What is the smallest common multiple of q and 4?
72
Suppose -4*u = -x - 4*x - 119, 0 = -5*u - 5*x + 115. Let r = -52 - -87. What is the lowest common multiple of r and 1 - (-264)/u - 56/364?
385
Let d(c) = 5019*c - 13099. What is the lowest common multiple of 7 and d(4)?
48839
Let i = -3151/61728 + -2/1929. Let l = -557537/161 + 3463. Let x = l + -6649/1288. What is the common denominator of i and x?
96
Let o(v) = 11*v - 97. Let h be o(9). Suppose 5*u + q = 345, h*u - 4*q = -2*u + 252. What is the least common multiple of u and 16?
272
Let k = -488075/36 + 53867/4. Let n = -8674/99 - k. Calculate the common denominator of 75/(-15) - 142/20 and n.
110
Let w = 34518 - 32228. Calculate the least common multiple of 100 and w.
22900
Let k be 32 - (0 + 0/4). Let i = 15 + -13. What is the common denominator of -121/12 and i*4/k*150?
12
Let k = 68835909/139570 - -3/27914. Let b = 43793/90 - k. Calculate the common denominator of b and -69/608.
5472
Let t(w) = 11*w**2 - 104. Let n be t(7). Let q = n - 423. What is the least common multiple of q and 144?
144
Suppose -2*z + 12 = 2*h, -z = h - 3*z. Suppose -23 + 59 = -h*y. Find the common denominator of 6/40*(-69)/y and -93/22.
220
Suppose 4*g - 13 = 2*v - 3*v, 5*g = -v + 17. Find the common denominator of 87/124 and ((-12)/10)/v - (-7035)/(-2400).
992
Let v = 40 - 31. Let l be 2/v + 0 + (-1949654)/512280. Let k = l + 2/7115. Find the common denominator of 11/28 and k.
84
What is the common denominator of -151/78 and ((-142)/230)/(22/(176/(-24)))?
8970
Let t(f) = -3*f**2 + 180*f - 225. Calculate the lowest common multiple of 1296 and t(57).
2592
Suppose d = 4*x - 20, x - 5*x = 4*d. Let q be 1 + -181 + 0 + 4 - x. What is the common denominator of ((-762)/q - -1) + -2 + 1 and 25/21?
210
Find the common denominator of (40/192)/((-285)/(-1748)) and 4/(-34) - (-1365)/(-680).
72
Let t be 8/((-8)/(-469)) - -1. Let q = 485 - t. Calculate the lowest common multiple of 2 and q.
30
Calculate the common denominator of (2*2/(-6))/(8932/(-10440)) and 9/187.
1309
Let m(z) = z**2 + 2*z - 5. Suppose -5*k + 67 = t, -129 = -3*t - 8*k + 11*k. Suppose 52*i = t*i + 105. What is the smallest common multiple of m(5) and i?
210
Find the common denominator of -2 + ((-6)/(-16))/((-147)/1148) and ((-2850)/(-630))/(4/6*1).
14
Suppose -3*d + 4*i = -2170, -5*i = -3*d - 0*i + 2171. What is the common denominator of -16 - -9 - d/(-116) and 107/20?
580
Suppose -h = -d - 131, -4*h + 6*h - 3*d - 265 = 0. What is the smallest common multiple of h and 176?
1408
Let l = 894/19 + -14569/285. Find the common denominator of 71/306 and l.
1530
Let c be ((-86288)/7608)/(4/3). Let z = c + 2/317. Find the common denominator of -2 + -318*(-2)/256 and z.
64
Let g(d) = d - 12. Let i be g(17). Suppose -2*m = 8, -2*v - i*m = -74 - 50. Calculate the least common multiple of v and 4.
72
Let a be (15/(-40)*4)/(1/(-2)). Suppose -2*u - a*m = -60, -15 = -3*u + 3*m + 45. Calculate the lowest common multiple of 12 and u.
24
Let k(g) be the second derivative of -g**4/6 - 7*g**3/6 - 7*g**2 - 31*g. Let t be k(-2). Calculate the common denominator of -137/12 and (-4 - (-6)/2)/(t/58).
12
Let i = 105/17 + -8117/1394. What is the common denominator of i and -73/4?
164
Calculate t