 - 4, 3*g + 4*u = 424 - 144. Calculate the least common multiple of 20 and g.
460
Let f = 18/43 + -413/473. Find the common denominator of 83/14 and f.
154
Let p(z) = 6*z - 35. Let r be p(6). Find the common denominator of 67/15 and r - ((-1)/36)/(12/(-1818)).
120
Find the common denominator of (18 - 15) + 3 - 25/(-6) and -79/60.
60
Let a = -260/99 - -13169/1584. Find the common denominator of a and 1/104.
208
Suppose 2*a = -4*u + 56, 14 = a - 2*u - 26. Let v = 9 - 8. What is the lowest common multiple of v and a?
34
Let b = -10645 - -74709/7. Let x = b + -2087/70. What is the common denominator of -29/14 and x?
70
Suppose -5*s = 0, 2*f + 5*s - 256 = 2*s. Let p = f + -83. What is the smallest common multiple of 27 and p?
135
Suppose 26 = 4*l - 366. Find the common denominator of 1 - (1/4 + 176/40) and (-3)/((-96)/l) - 2.
80
Suppose -3*q - 2*w = -143 - 131, 5*q - 2*w - 446 = 0. Calculate the smallest common multiple of 2/(-4) - (-21)/2 and q.
90
Let q = 76 + -76. Suppose q = -s + 5*s - 4. Calculate the lowest common multiple of 15 and s.
15
Let m = -454 - -458. Calculate the smallest common multiple of m and 810.
1620
Let r(p) = 13*p**2 - 96*p + 287. Calculate the lowest common multiple of 80 and r(3).
2320
Suppose 0 = 4*w - a + 577, -4*a = -3*w + a - 437. Let s be -1 + (-4 - -3) + -19 + 33. Calculate the common denominator of (738/w)/(10/s) and -101/8.
40
Let z = 230/13 - 235/39. Let g be ((-6987)/(-332) - 0) + -2. Let c = -66/83 + g. Calculate the common denominator of z and c.
12
Let r(t) = -t + 2. Let x be r(-3). Suppose -x*u + 2*u + 75 = 0. Calculate the lowest common multiple of 6 and u.
150
Let k = -18 + 20. Suppose 0 = -k*u + 10 + 2. Calculate the lowest common multiple of 6 and u.
6
Suppose -8 - 14 = -11*p. Suppose -4*w + 3*x - 6*x = 0, -p*w - 10 = 4*x. What is the lowest common multiple of 7 and w?
21
Let i(n) = n**2 + 10*n + 4. Let z be i(-10). Suppose z = x + 3*x. Find the common denominator of -42/11 and x/2 + (-708)/60.
110
Find the common denominator of 9/(-10)*222/(-306) and -97/10.
170
Suppose 0 = 2*j - 7 - 1. Suppose 36 = 10*n - 7*n. Calculate the lowest common multiple of n and j.
12
Let o be (8/(-3))/(2/6). Let z = o - 2. Let w(t) = -t**2 - 10*t + 6. What is the lowest common multiple of 14 and w(z)?
42
What is the least common multiple of -17 - (17 - (73 - 9)) and -1 - (-1*1 + -30)?
30
Let t be (-3*(-52)/(-30)*-5)/(-2). Let u = t + 17. Calculate the least common multiple of 14 and u.
28
Let s be (-3 - -3) + -3*(-964)/48. Let o = s - 1077/20. Find the common denominator of o and (1 - 0)*177/9.
15
Suppose 5*l = -2*s + 44, 5*l - 5 = 3*s + 29. Suppose -17*r = -13*r - l. Suppose -15 = -5*x - 0*x. What is the smallest common multiple of x and r?
6
Calculate the smallest common multiple of 15 and (-3075)/82*(-12)/10.
45
Suppose 3*p + 2 = 17. Let f(m) = -34*m - p + 32*m + 1. What is the smallest common multiple of f(-4) and 2?
4
Let p = 11 - 7. Suppose -p*i + 9 = -15. Let m = -347 - -353. What is the lowest common multiple of i and m?
6
Let p = 232/27 - -20/27. Calculate the common denominator of p and (2/((-12)/(-237)))/(-12).
24
Suppose 1 = -2*d - 1. Let h = 37423/14926 - 29/439. What is the common denominator of -27*d/4*1 and h?
68
Suppose 3*i + 2*l - 40 = 0, -4*l - 6 = -7*l. What is the smallest common multiple of (-4)/((-16)/12) - -3 and i?
12
Let b = 2 + -2. Let y = 160 + -146. Calculate the least common multiple of y and (15 + -3)/(b + 1).
84
Suppose -290 = 10*j - 400. What is the least common multiple of 75 and j?
825
Calculate the common denominator of 6*(1755/100)/(-9) and 69/50.
50
What is the lowest common multiple of (8/(-3))/(2/(-12)) and (-5)/(-2)*(-8 + (-192)/(-10))?
112
Let h be (6/(-9))/(1/(-36)). Suppose 5*b = h + 1. Let o = 123 - 118. What is the least common multiple of o and b?
5
What is the lowest common multiple of 2 and -7 + (-8)/((-16)/58)?
22
Suppose 3*v - 30 + 21 = 0. Let y(h) be the first derivative of h**3/3 - h**2/2 + 10*h - 2. Calculate the smallest common multiple of y(0) and v.
30
Let s = -7 - -6. Find the common denominator of -41/20 and 14/(-24) - 3/s.
60
Let o be ((-3)/(12/4))/1. Find the common denominator of -103/14 and (-1 - 30) + ((-6)/(-12))/o.
14
Suppose 0 = 3*o - 2*o - 20. What is the smallest common multiple of 10 and (3/(-4)*-2)/(3/o)?
10
Let t = 33 - 15. Find the common denominator of -41/30 and (122/t - 2) + 1/3.
90
Suppose -22*b + 144 = -142. What is the lowest common multiple of 6 and b?
78
Let r(i) = i**2 - 47*i + 279. Calculate the least common multiple of 162 and r(45).
1134
Let m(s) = -10*s + 5. Let l(v) = 2*v - 1. Let r(i) = 11*l(i) + 2*m(i). Let n = -97 + 101. What is the least common multiple of n and r(5)?
36
Let h = 503/10 + -4/5. Let v be (36/(-135))/(78/10). Let i = v - 5725/234. What is the common denominator of i and h?
2
Suppose -4*z = 2*k - 112, z + 58 = k + 2*z. Suppose 4*x - k = -0*x. What is the least common multiple of 4 and ((-12)/15)/((-2)/x)?
12
Suppose 0*y + y = 0. Suppose y = -h - h - 6, -h = -2*o + 21. Let w(k) = -k**2 + 12*k + 11. Calculate the least common multiple of o and w(12).
99
Suppose -7*u = -5*u - 4. Let j = -13 + 13. What is the smallest common multiple of 10 and 24/3*u - j?
80
Suppose -2*u + 4*o = -176, -3*u - 5*o + 117 = -125. What is the smallest common multiple of 189 and u?
756
Let s be -3*1/(-6) - 973/1802. Let y = s - -105777/9010. What is the common denominator of -99/4 and y?
20
Let q = 24 + -117/5. Find the common denominator of ((-2478)/140)/((-9)/(-6)) and q.
5
Suppose -3*o = -68 + 11. Let r = 132 - 133. Let q = o + r. Calculate the smallest common multiple of 24 and q.
72
Let m = 3220463/42 + -76674. Find the common denominator of m and -79/30.
210
Let b = 188/3125 - -55057/425000. Calculate the common denominator of -55/2 and b.
680
Let s = 496159/468 + 1472/117. Let u = -1082 + s. What is the common denominator of u and -91/4?
4
Let g = -750 - -790. Calculate the least common multiple of 16 and g.
80
What is the lowest common multiple of 42 and 54/(-99) - ((-1464)/11)/2?
462
Let z(s) = 2*s**2 + 33*s - 341. Calculate the smallest common multiple of z(10) and 378.
378
Let c = -1979/671962 - -6/1249. Let x = c + 7125/1883. What is the common denominator of x and (-1)/(-4)*29/(-3)?
84
Suppose 0 = a - 5*d - 18, a - d = 3*a - 3. Suppose 2*k + 32 = 5*r + 11, -r - 5*k + 15 = 0. What is the smallest common multiple of a and r?
15
Let c(v) = -v**3 + 16*v**2 + 17*v + 8. What is the least common multiple of 3/(-3)*(-77)/7 and c(17)?
88
What is the lowest common multiple of (-542)/(-12) - (-19)/(-114) - 5 and 230?
920
Calculate the common denominator of -30/91 and (-3 - -5) + 2 + 1432/(-336).
546
Let d = -2/2935 + 179047/17610. Find the common denominator of d and (-583)/(-33) + (-4)/((-6)/3).
6
Let b = 4 + -2. Calculate the lowest common multiple of (3/(-1))/(((-57)/10)/19) and b.
10
Let t(g) = -16*g - 2. Let l be t(6). Calculate the common denominator of (l/(-2))/(0 + -10) and (((-252)/(-16))/(-7))/((-42)/(-76)).
70
Suppose -71*t = -66*t - 210. Suppose 39*u - 38*u - t = 0. What is the least common multiple of u and 14?
42
Let d = 15579/8 + -1944. Let r be (-79)/9 - 4/18. What is the common denominator of 178/28*r/(-9) and d?
56
Let d(h) = h**2 - 4829. Let r be d(0). Let g = r - -48377/10. Calculate the common denominator of 38/9 and g.
90
What is the common denominator of (15/245)/(40/(-15)) and 57/4?
392
Let a(w) = 0*w - 4*w - 2*w**3 + w**3 + 0 - 3 + 6*w**2. What is the lowest common multiple of 30 and a(5)?
30
Suppose -a = -0*a + 4, -400 = -4*l - 2*a. Suppose -l*g = -106*g + 80. What is the smallest common multiple of 32 and g?
160
Suppose 5*n - 648 = 72. Let h = n + -102. What is the least common multiple of 10 and h?
210
What is the common denominator of -101/4 and 2/(-36)*4 - (-265)/7470?
332
Let h be -4 - ((-5199)/753 - -3). Let w = h + 8680/6777. Find the common denominator of w and 36/7.
189
Let d be 3 + (-3)/(12/764) - -3. Let g = d - -335/2. Let k = -2262 - -49773/22. What is the common denominator of k and g?
22
Let u be 1 + (-4)/(103512/25870). Let f = -435637/77634 + u. Calculate the common denominator of (-194)/6*54/360 and f.
180
Let n(d) = -d**3 - 5*d**2 + 6*d + 2. Let q be n(-6). Let o be ((-3)/9)/(q/18). What is the leas