-69/2.
20
Calculate the common denominator of -105/22 and ((-2)/170)/(((-168)/(-1710))/(-14)).
374
Let v = -4348 + 47863/11. Find the common denominator of v and -37/126.
1386
Let b = -9774813988122030255643753/76615275 + 127583096035640802. Let m = 312/92867 - b. Let x = m + -3/275. What is the common denominator of x and -20?
3
Suppose 3*n - 20 = a - 2*a, 0 = 4*n - 5*a - 33. Suppose -4*w - o = -9, -w - 5*o - 3 = -3*o. Calculate the smallest common multiple of w and n.
21
Let c = -8718 + 174417/20. What is the common denominator of c and 26/6*45/(-110)?
220
Let k be 0 - 0 - (0 + -5). Suppose 0 = q - 3, k*j = 2*q + 3*q. Suppose -20 = 4*a, -5 = f + j*a + 8. What is the smallest common multiple of 8 and f?
8
Suppose 2*i - 88 = 3*x, -x + 0*x = -4*i + 36. Calculate the common denominator of 8/x + (-333)/231 and -47/8.
88
Let w(n) = -n + 6. Let t be w(-11). Suppose 1 = 3*m - t. What is the lowest common multiple of m and 8?
24
Suppose 5*m = m + 44. Let y be 51/15 - (-2)/(-5). Suppose y*v - 2*r = -r + 15, 15 = 5*r. What is the lowest common multiple of v and m?
66
Let z = 58 - 44. Calculate the smallest common multiple of z and 26.
182
Let d be (2 + -1)/((-2)/2). Let y = -6056/9 - -669. Calculate the common denominator of y and d/(-5) - (-43)/(-15).
9
Let y be 34/6 - (-2)/(-3). Suppose -a + 17 = y*u - 7, -u - 54 = -4*a. What is the least common multiple of 16 and a?
112
Let s = -2 - -3. Calculate the common denominator of ((-146)/(-16))/s - 3 and -8.
8
Suppose 3*l = 3*n - 18, 5*l = n - 0*n - 2. Suppose 3*h + 13 = 4*h. Suppose h = 4*p - 7. What is the smallest common multiple of p and n?
35
Suppose 5*c - 119 - 21 = 0. Suppose 0 = -5*r - w + 6*w + 25, 0 = -4*r + 2*w + c. Suppose -3*o + 3 + 0 = 0. What is the smallest common multiple of r and o?
9
Let f(r) = -r. Let m be 2 - 7 - 4/(-2). Let n be f(m). Suppose n*u - 25 - 23 = 0. Calculate the lowest common multiple of u and 20.
80
Suppose 3*a = -a - 4. What is the common denominator of 0 - (-2 - a)/20 and 47/12?
60
Suppose -l - 4*w = -15, -7*l = -3*l - 2*w - 42. Let q be (-3)/1 - (-1 - 0). What is the least common multiple of l and -20*(q/5 + 0)?
88
Let q be (-4)/(-14) + 120/21. Suppose -q = -x - 0. What is the lowest common multiple of 2 and x?
6
Let n be 0/(-1 + 4) + -30. Let z be n/(-4) - 5/(-10). Calculate the common denominator of -111/20 and (-430)/z*2/40.
80
Let z = 22 + -26. Calculate the lowest common multiple of 3 and z/6 + (-76)/(-6).
12
Let a = 1 - -3. Let j(z) = -z**2 + 13*z + 54. Calculate the smallest common multiple of a and j(16).
12
Suppose -z = -26 + 4. What is the lowest common multiple of 16 and z?
176
Let y be (-6267)/1668 + -1 - 1. Let o = -1/139 - y. Calculate the common denominator of -7/11 and o.
44
Suppose u - b = 3*u + 129, -3*u - 188 = -4*b. Find the common denominator of (6/u)/((-3)/(-10)) and 3 + 1 - (-10)/(-8).
16
Let b(c) = 56*c**2 - 5*c + 4. Calculate the smallest common multiple of b(1) and 35.
385
Let f = 677 + -667. Suppose -4*v + 2*v + 3*y = -5, -50 = -4*v - 2*y. What is the lowest common multiple of f and v?
10
Suppose -j - 3*g + 2 = 0, 2*g - g + 8 = 4*j. What is the lowest common multiple of 14 and j?
14
Let j = 29/222 + -451/11100. Let d = j + 1901/1100. Find the common denominator of (-3)/12 - (-149)/(-44) and d.
11
What is the common denominator of 119/10 and 60/27 - 2 - (-4746)/(-216)?
20
Let j = -7376 - -162331/22. Find the common denominator of j and -63/4.
44
Let p = 1553 + -962. Calculate the common denominator of p/165 + 4/(-10) and 8/7.
77
Suppose -6*o + 9 = g - 4*o, -2*o - 3 = -3*g. Suppose 17 = g*d + 5. What is the smallest common multiple of 2 and d?
4
Let u = -21 + 13. What is the common denominator of -83/20 and ((-13)/(-8))/(u/(-12))?
80
Let t = 7425/904 - 10/113. What is the common denominator of -59/6 and t?
24
Let b be 3*2/6*-5. Calculate the least common multiple of 7 and (-6)/b*140/21.
56
Suppose 0 = -o - 3*c + 6, o - 5 = -c - 1. Suppose z - 31 = -o*q + 8, -5*q - 103 = -3*z. Find the common denominator of z and -49.
1
Let g = 2/752119 + 1359830322/312129385. Let b = g + -13/83. What is the common denominator of -69/2 and b?
10
Let a = -701 - -1414. Let h = -7137/10 + a. Find the common denominator of -121/6 and h.
30
What is the lowest common multiple of 3 and (5/(-2))/(3/(-6))?
15
Suppose -3*l + 24 = -4*w, -3*l - 5*w + 23 = -28. What is the smallest common multiple of 21 and l?
84
Suppose 30 - 14 = v. Suppose 3*i - 3 - 51 = 0. What is the lowest common multiple of v and i?
144
Let t = -6311 - -63011/10. Let c = -18/2261 + -300389/40698. Find the common denominator of t and c.
90
Let v(c) be the first derivative of -c**3/3 + c**2/2 + 6*c + 1. Suppose 3*w = 4*w. Calculate the lowest common multiple of v(w) and 22.
66
What is the common denominator of (6/5 - 2)/(144/3720) and 59/27?
27
What is the common denominator of -119/20 and 10/45 - 3308/144?
20
Suppose -c = 2 - 13. What is the smallest common multiple of 9 and c?
99
Let z = 42 + -25. Suppose -23 = -s - 2*a - 3*a, 5*a = s + z. Suppose -3*d + 13 = l - 4*d, -s*l + 2*d = -42. Calculate the lowest common multiple of 18 and l.
144
What is the smallest common multiple of 40 and 22 - (-2 + 1 + (3 - 0))?
40
Calculate the common denominator of 17/12 + 2/(-12) and 14/3.
12
What is the common denominator of ((-2 - -6) + -5)/((-132)/654) and 39/8?
88
Suppose 5*m - 96 = 2*m. Calculate the smallest common multiple of m and 36.
288
Let g(d) = 2*d**3 + 2*d**2. Let h be (-6)/30 - (-9)/(-5). Calculate the common denominator of g(h) and 50/11.
11
Suppose 4*n + 3*c - 8 = 49, -c = -3*n + 59. Let d = 8 - 2. Calculate the lowest common multiple of d and n.
18
Suppose -38493412 = 3*w + 9588530. Let z = 5369146246/335 + w. Let p = z + 25/67. Find the common denominator of p and 3/4.
20
What is the common denominator of (154/(-10))/(252/(-70)) and -58/33?
198
What is the lowest common multiple of -2 - (-10)/(-1 - -2) and ((-2)/(-6))/((-13)/(-702))?
72
Let x = 0 - -4. Let f(z) = z**2 + 2*z - 1. Calculate the smallest common multiple of x and f(1).
4
Suppose -44 = 5*d - 144. Calculate the lowest common multiple of 8 and d.
40
Suppose -5*k + 42 = 2*r, -r - 6*k + 21 = -2*k. Calculate the lowest common multiple of r and 3.
21
Suppose 3*m - 4*k - 24 = 0, -40 = -5*m + 3*k - 6*k. Let x(g) = -4*g. What is the smallest common multiple of x(-2) and m?
8
What is the common denominator of 2/162*537 - 4 and -31/15?
135
Let o be (4 - 442)*(-3)/9. Find the common denominator of (-22)/11 + o/40 and 33/20.
20
Let s be 1 + (189530/(-94763))/2. Let v = -1756621711/947630 + s. Let r = v - -1856. Calculate the common denominator of 89/6 and r.
30
What is the common denominator of -1*6*2/(-88) and ((-2)/(-4))/((-35)/545)?
154
Let g be 450/4 + 2/4. Calculate the common denominator of (1/(-1))/((-18)/g) and 157/70 - 9/15.
126
Let z = 36 - 14. Let t be (-1)/(-6) - (-119)/42. Suppose 0*h = t*x - 5*h - 39, -29 = -4*x - h. Calculate the least common multiple of z and x.
88
Let r be (-5)/(-2)*-1*-2. Suppose 4*f = -b + 25, 0 = -r*b - 4*f + 47 + 14. What is the lowest common multiple of b and 9?
9
Let h be (-14)/(-8) + 4/16. Suppose 21 = -h*i + 3*i. Let d = i - 11. Calculate the least common multiple of d and 22.
110
Let m = 13786387186 - 230398102859203/16712. Let t = -5/2089 + m. Calculate the common denominator of t and ((-1)/(-2))/((-1)/83).
8
Let x = -397/9 - -44. Calculate the common denominator of x and (-55)/(-9) - 3/9.
9
Let z be ((-4)/(-10))/((-3)/(-15)). Suppose -w - z = 22. What is the common denominator of 89/6 and ((-8)/20)/(w/(-685))?
12
Suppose -2*o = 2*r - 22, -2*r = o - 2 - 4. Let v = 5 - 2. Suppose -v*x - 4 = -22. Calculate the smallest common multiple of o and x.
48
Suppose -t - 5*v + 40 = 4*t, v = -4*t + 32. Let z = 19 + -15. What is the least common multiple of z and t?
8
Suppose 3*i - 9 = 3. Find the common denominator of -7/2 and 0 - i/(-184)*-11.
46
Suppose -6*o = -10*o + 36. Find the common denominator of 436/24 + 1 + -1 and (89/(-4))/(o/6).
6
Find the common denominator of 64/3 and (6/214)/(51/136).
321
Let m be ((-8)/5)/((-7)/35). Calculate the common denominator of 2/m + (-7)/(-10) and 1587/(-330) - (-4)/10.
220
Let w = -127443/16 - -7971. Find the common denominator of w and 71/12.
48
Let z = -40 + 56. Calculate