18 + 115/9. Let r = k - -150. Find the common denominator of r and (442/(-195))/(16/10).
12
What is the common denominator of 43/9 and 3/(-8 - 4)*177/144?
576
Find the common denominator of (205*(-24)/(-180))/(-1*20) and -109/120.
120
Let a = 1 + 15. Suppose 5*h = 4*h + 2. Let u = 10 + h. Calculate the smallest common multiple of a and u.
48
Suppose -15*t + 11*t - 16 = 0. Let c(v) = v + 7. What is the least common multiple of c(t) and 6?
6
Let m = -32 + 38. Let w(p) = -p**2 - 6*p - 2. Let d be w(-5). Suppose a = -1 + d. What is the smallest common multiple of m and a?
6
Let o = -62291/19910 - -433/181. What is the common denominator of -83/18 and o?
990
Suppose -45*s = -15*s - 960. What is the lowest common multiple of 48 and s?
96
Find the common denominator of 99/8 and (-4 + (-123)/21)/((-27)/6).
168
Let d be 1 - (47527/(-12))/1. Let r(o) = -1976*o - 2. Let l be r(2). Let c = l + d. What is the common denominator of 69/22 and c?
132
Let y = 69 + -33. Suppose -46 = -u + 10. Let s = u - y. What is the lowest common multiple of s and 6?
60
Suppose -2*u + 3*u = 0. Let o be 277/24 - (-3 + u). Let k = o + 125/24. Calculate the common denominator of 61/4 and k.
4
Suppose -4*p - w + 89 = 0, -4*p + w + 65 = -p. Suppose -3*l - 7 = -28. What is the smallest common multiple of p and l?
154
Suppose 382*j = 391*j - 9540. Let f be 3*((-6218)/9)/(-2). Let s = j - f. What is the common denominator of 9 and s?
3
Suppose -c + 2*f = -86, -42 = -c - 5*f + 23. What is the least common multiple of 96 and c?
480
Suppose -3*h + h + 51 = -3*k, -2*h - 5*k = -75. Find the common denominator of 45/4 and ((-515)/200 + 2)/((-8)/h).
32
Let n = 11823/4 + -2937. What is the common denominator of -36/295 and n?
1180
Suppose 40*t - 33*t = 7. Find the common denominator of 33/29 and t.
29
What is the common denominator of ((-23)/(-1012))/((-2516)/(-840) + -3) and 38/3?
66
Find the common denominator of -77/10 and -3 - ((-12)/(-660))/((-2)/282).
110
Let u be (1*6)/(36/12). Suppose -5*t + u*t = -66. Suppose 67 = 4*y + y + 3*v, 4*v = -4*y + 52. What is the least common multiple of y and t?
154
Suppose 5*a = -4*h - 116, -3*h = h - 4. Find the common denominator of ((-2)/a)/((-3)/(-9)) - -3 and 43/10.
20
Let k = -12866073/8 + 1610491. Let l = k + -2224. Let f = 37/7 + -157/35. Find the common denominator of l and f.
40
Find the common denominator of 3 + 18/(-5) + (-365)/(-50) and -1/508.
2540
Suppose -92 = 12*k - 8*k. What is the common denominator of (k/2)/((-30)/4) and -131/12?
60
Let s = 51911/10 - 5196. Let g = 287/3 - 3883/42. What is the common denominator of s and g?
70
Let r be (-2)/(-5) - (-26)/10. Let w = 17 + r. Let p = 61 + -55. What is the lowest common multiple of p and w?
60
Let j = -95226871973/2410985832 - -1979077/62094. Let p = -79/1495 - -769843/14511965. Let i = j - p. Find the common denominator of i and 22.
8
Suppose 8*w - 3*w + 3*z = 27, -4 = -z. Suppose 0*l = w*l - 12. Let d = 152 + -140. Calculate the smallest common multiple of l and d.
12
Find the common denominator of 89/30 and 4/(-30)*858/(-24).
30
Let d = -970892581573/42276 - -298552302/13. Let u = 37/271 + d. Calculate the common denominator of (2/(-25))/(8/(-605)) and u.
60
Find the common denominator of 1/11 and (92/16)/(-23) - 122/(-40).
55
Suppose 17*r = 34*r - 170. Calculate the lowest common multiple of r and 1.
10
Let b be (2/6)/((-5)/345). Let f = -19 - b. Suppose 2*j - 4*u - 18 = 0, -3*j + f*u = -26 - 3. What is the common denominator of j and 26/9?
9
Calculate the common denominator of -91/58 and (-27)/(-2)*(-68)/(-238).
406
Let f(o) = 7*o**3 - 2*o**2 + 3*o - 1. Let g = -3 + 4. What is the smallest common multiple of g and f(1)?
7
What is the common denominator of -9/10 and -3 - (-10 + 14 - 286/16)?
40
Let c be ((-639)/(-24))/(15/26). Let l = c + -247/5. What is the common denominator of ((-15)/162)/(4/(-348)) and l?
36
What is the common denominator of ((-27)/(-810))/(1/(-7)) and -107/50?
150
Let t(p) = 7*p. What is the least common multiple of 161/2*(48/(-28))/(-3) and t(2)?
322
Let x = -20219/798 + 1/266. Find the common denominator of -74/9 and x.
9
Let d be 5 + (-4 - -4)/3. Suppose 0*x + d*w + 26 = x, w = -4. Calculate the least common multiple of x and 30.
30
Let l = -1773 - -1824. Calculate the smallest common multiple of 150 and l.
2550
Suppose -r - j + 10 = 0, -3*r - 2*j = 3*j - 26. Let d = -17 + 21. Calculate the smallest common multiple of d and (-16)/r*66/(-8).
44
Let a = -132147/4 - -17445650507/528068. Let t = -294265909/1056136 + a. Let x = 279 + t. Calculate the common denominator of 2/7 and x.
56
Suppose -9*o + 11808 = -11*o. Let a = -53069/9 - o. Find the common denominator of 44 and a.
9
Suppose -4*k - 12 = 6*x - 7*x, -x + 12 = k. Calculate the least common multiple of x and 99.
396
Find the common denominator of ((-13)/(-8))/((-3)/20) and 61/129.
258
Let n be 43124/5690 + 2/1. Let l = n - -12/569. Let b = -23 - -52. Calculate the common denominator of l and b.
5
Let l = -164 - -256. Let p be (12/20)/(l/(-70)). Let u = 14/207 + p. What is the common denominator of -67/14 and u?
126
Let l(d) = -d**3 + 5*d**2 + 5*d - 11. Let p(g) = -g**3 + 7*g**2 + 8*g + 5. Let b be p(8). What is the lowest common multiple of l(5) and 8/(-10)*b/(-2)?
14
Let j(s) = s + 32. Let n be j(-13). Suppose 17 + n = 3*u. Let f = 17 - u. Calculate the lowest common multiple of f and 13.
65
Let v = 15 + 7. Let j(t) = 91*t - 2633. Calculate the lowest common multiple of j(29) and v.
66
Let u be 114/42 + (2/7 - 0). What is the common denominator of -2 + 0 + (-194)/(-20) and 34/255*(u/(-8) - -1)?
60
Find the common denominator of 83/42 and (-4 + 6)*(227/(-96) + 3).
336
Let x = -2 - -15. Let j = x + -12. Let o(u) = 9*u**3 - 2*u**2 + 2*u - 1. What is the least common multiple of o(j) and 10?
40
Let q be (2/1)/(-12 + 13). Suppose 11 = x - f - 4, 3*f - 15 = -q*x. What is the least common multiple of x and 15?
60
Let x(i) = -2*i + 1. Let k be x(2). Find the common denominator of 25/11 and (190/(-25) + k)*-1.
55
Calculate the least common multiple of 252 and (-7780)/(-140) + (-3)/(-7).
504
Let s be (3/9)/((-4)/60). Let q be (-3)/(-26)*(-492)/s. Let f = -33/130 + q. Calculate the common denominator of f and -75/8.
40
Suppose 2*y - 116 = -5*l, -256 = -y - 4*y - 4*l. Calculate the smallest common multiple of 6 and y.
48
Suppose -5*y - 45 = -10*y. What is the smallest common multiple of y and 153?
153
Let o = 16 - 11. Suppose 0 = 9*x - 11*x. Suppose 2 = n - x. Calculate the least common multiple of n and o.
10
Let w = -4/1867 + -121299/26138. Let j(c) = -c**3 - 4*c**2 + c + 7. Let d be j(-6). Find the common denominator of w and (-6)/4*d/(-21).
14
Let n = -527/56 - -9/56. Let t be (6/4)/(2/11764). Let i = -105991/12 + t. What is the common denominator of n and i?
12
Let r = -192 - -117. Let n = r + 271/3. Find the common denominator of 31 and n.
3
Let s(f) = 7*f - 2 + 0*f - f**2 - 2*f + 0*f. Let m be s(4). What is the smallest common multiple of m + (-1)/((-1)/6) and 4?
8
Let h = 1388/605 - 10/363. What is the common denominator of 17/96 and h?
480
Suppose -33 = -6*d + 15. Calculate the lowest common multiple of 9 and ((-2)/d*-7)/((-30)/(-240)).
126
What is the least common multiple of (-55)/(-33)*189/35 and 6?
18
Let a = -502627/4 + 124600. Let v(i) = 135*i**3 + 2*i**2 + 2*i + 1. Let l be v(-2). Let p = l - a. Find the common denominator of p and -73/18.
36
Let w(l) be the second derivative of -2*l**3/3 - l**2 + l. What is the lowest common multiple of 6 and w(-1)?
6
Let f = -2/44669 - 221371/44088303. Let j = f - -40577/21714. What is the common denominator of -69/22 and j?
22
Suppose w + 3*w - 68380 = -b, 3*w + 3*b = 51285. Let r be (-1435795)/84 + (-4 - 35/(-10)). Let z = w + r. What is the common denominator of z and 79/10?
420
Let t = -197281359/6827704 + 1/65651. Let s = 504/13 + t. What is the common denominator of s and 6/(-8) + (-62)/40?
40
Let f = 145/6 - 1183/60. Calculate the common denominator of (1/(-39))/(6/(-513)) and f.
260
Let c = 116 + -81. Let f = -50 + c. What is the lowest common multiple of 16 and 148/20 - (-6)/f?
112
Suppose -3*y - 6 = -21, 3*y - 7 = 2*m. Suppose 2*o = k - 2*o - 38, -4*k + m*o + 92 = 0. What is the lowest common multiple of k and 28?
252
Suppose -5*c + 241 = 3*a - c, -c