00. Calculate the common denominator of (-796)/q + 2/10 and -35/6.
12
Let s be ((-121)/(-22))/(1/2). Suppose 4*v - 5*v = -s. What is the smallest common multiple of 7 and v?
77
Let k = 3 - -4. Let g(f) = f**2 - 3*f - 2. Let v be g(-2). Suppose 0 = -3*l + v*l - 20. Calculate the least common multiple of k and l.
28
Let z = 4086/25 + 40309/150. Let q = z - 425. Calculate the common denominator of q and 6/(-3)*118/(-16).
12
What is the common denominator of (-376)/(-112) - 6/(-2) and -47/2?
14
Let k = 35725/18 + -1988. What is the common denominator of k and 151/18?
18
Let k = 11 - 9. Suppose 0 = 3*i - 4*d - 54, 7*d = 2*i + k*d - 36. Calculate the smallest common multiple of i and 12.
36
Suppose -4*n + 35 - 2 = 5*b, 3*b + 45 = 3*n. What is the least common multiple of n and 8?
24
What is the common denominator of ((-146)/(-108))/((-2)/6) and -33/10?
90
Let s(v) = -v**3 - 5*v**2 - 6*v. Let b be 3/9 + 52/(-12). What is the smallest common multiple of s(b) and 9?
72
Let m = 24290/9 + -2380969/882. Calculate the common denominator of m and 81/4.
196
Suppose 86 = 5*s + 3*d, 7*d = -2*s + 4*d + 38. Find the common denominator of (-170)/s - (-12)/24 and -47/10.
40
Let t = 114 - 78. Calculate the smallest common multiple of 18 and t.
36
Let s(c) = -c**2 + 9*c + 3 + 1 - 2*c + 3. Suppose 15 = 5*v - 0*v. What is the lowest common multiple of v and s(7)?
21
Let q = 132/5 + -343/20. What is the common denominator of q and 269/126 - (-8)/36?
28
Let y = -6461 + 51759/8. What is the common denominator of y and 531/72*(-2)/5?
40
Calculate the lowest common multiple of 8 and 1376/56 + -1 + 3/7.
24
Suppose -2*f + 30 = 3*f. Suppose 2*d = 3*d + f. Let w = d - -22. What is the least common multiple of w and 14?
112
Calculate the least common multiple of 9 and (-8)/(-16) - 26/(-4).
63
Let m = -1445/3 + 504. What is the common denominator of 103/30 and m?
30
Let f = -2 + 3. Suppose 3*z + 4 = f. What is the common denominator of 7*14*z/8 and -27/4?
4
Let s = 11/175 + -14547/350. Find the common denominator of s and -26/15.
30
Let u(j) = -2*j**3 + j**2 + j. Let r be u(-1). Suppose -5*h + 0*h + 5*l = -15, 4*h = r*l + 22. Calculate the least common multiple of 6 and h.
24
Suppose 0*t - 152 = -2*t. Suppose b - 12 = -3*l + 9, 4*l - t = -4*b. Calculate the least common multiple of b and 18.
18
What is the common denominator of -151/36 and 3681/(-1872) - (-2)/13?
144
Let a = -1980 - -19707/10. Calculate the common denominator of a and -67/12.
60
Let m be (-2*1262/(-12))/(-1). Let t = m - -207. Calculate the common denominator of t and 51/2.
6
Let y = -4 + 10. Calculate the common denominator of (4/y)/((-8)/(-222)) and 3/(-2)*(-147)/45.
10
Suppose 6 = -a - 6. Suppose 8*w - 5*w = -18. Calculate the least common multiple of 2 and a/45*w*10.
16
Suppose -u - 12 = 2*u + 3*g, -4*g = 16. Suppose u*k - 135 = 5*k. Find the common denominator of 3/8*780/k and 95/16.
48
Let k be (-2 + -1)/(6/(-4)). What is the common denominator of 33/2 and 51/10 + 1/k?
10
Let m = -4932 + 39393/8. Let y = -681 - -959. Find the common denominator of (y/14)/((-18)/(-7)) and m.
72
Calculate the common denominator of ((-282)/(-32))/(55/20 - 2) and -121/10.
20
Suppose -5*z + 15 = -10*z. Calculate the least common multiple of 17/3 + 2/z and 11.
55
Suppose 7 = -43*r + 50*r. Suppose 0*n = -5*n + 10. What is the smallest common multiple of n and r?
2
Let q be 1*(-71 + -3) - -2. Let u = -77 + 42. Find the common denominator of u and 255/q - 1/3.
8
Let b(x) = -2*x - 9. What is the least common multiple of 9 and b(-6)?
9
Let b = -85 + 107. Calculate the lowest common multiple of b and (-68)/(-3) - 4/6.
22
Let l(p) = p**2 - 8*p - 9. Let f(o) = 2 - 4*o**2 - 5 + 3*o**2 + 2. Let r(g) = -2*f(g) - l(g). Calculate the smallest common multiple of 20 and r(-9).
20
Let r = 7 + 21. What is the smallest common multiple of 11 and r?
308
Let y = 23 + -5. Suppose 2*b = v + 4, -3*b + 2*v + 8 = 4. Suppose b*r - 32 = -0*r. Calculate the lowest common multiple of y and r.
72
Suppose -4*l - l - 44 = 3*h, 0 = -3*l + 3*h - 12. Let x = -4 - l. Suppose 4*i = -k + x*k + 78, -5*k = 5*i + 180. What is the common denominator of 32/11 and k?
11
Let g be (-1119414)/(-179655)*10/(-8). Let a = 105573 - 180635408/1711. Let k = g - a. Calculate the common denominator of 75/4 and k.
28
Let a = -17 - -8. Let s be (10/8)/(a/(-36)). Suppose -5*h + s = -10. What is the smallest common multiple of 3 and h?
3
Find the common denominator of (-5)/(-90)*(1 - 110) and -7/8.
72
Suppose -11*l = -91 - 129. Calculate the smallest common multiple of l and 6.
60
What is the least common multiple of 9 and ((-3)/(-4))/(30/80)?
18
Suppose -2*o = -2*i + 3*i - 4, 0 = 2*o - 4*i - 4. Calculate the least common multiple of o/((-33)/9 + 4) and 16.
48
Let s be 1/((-8)/9 - -1). Let p = 53723/2652 + -5/663. What is the common denominator of (s/(-1))/((-20)/(-3)) and p?
20
Let c = 3 + -17. What is the common denominator of 54/c + (-10)/(-5) and 5/11?
77
Let a(b) = -b - 2. Let p be a(-4). Let m(d) = -d**3 - 4*d**2 + 2*d + 0*d**3 + p*d - d. Calculate the lowest common multiple of 18 and m(-5).
90
Let f = -62 - -63. Calculate the lowest common multiple of f and 4.
4
Suppose i + 5*z = -45, 2*i + 3*i = z - 355. Calculate the least common multiple of 4 and (-1)/(-3) - i/15.
20
Suppose -4*y - 3*u - 94 = -9*y, 0 = 4*y - u - 78. Calculate the smallest common multiple of y and 18.
180
Let x(b) = -b**3 - 4*b**2 + 10*b - 6. Calculate the lowest common multiple of 9 and x(-6).
18
Suppose -3*i = -45 + 3. Calculate the lowest common multiple of i and 18.
126
Find the common denominator of -89/6 and (-318)/24 - (-2)/4.
12
Calculate the common denominator of -133/12 and (3/32)/(1/12).
24
Suppose -21 = -a - 11. What is the smallest common multiple of a and 34?
170
Let g = 15347/1364 + -1/682. Let x = 190837/12 + -15893. Find the common denominator of g and x.
12
Suppose -1770 = -0*v - 3*v. Let d = 5881/10 - v. What is the common denominator of 53/3 and d?
30
Let x(i) = 5*i - 5. Calculate the lowest common multiple of 10 and x(5).
20
Let g be -1*((-274)/286 - -1). Let j = g + -6697/572. What is the common denominator of (-21)/(-6) - 4 - (-219)/(-54) and j?
36
Let y(t) = t**2 - 2*t. Let g be y(2). Suppose -2*s + 7 + 5 = g. What is the least common multiple of s and 12?
12
Let x = -555/736 + -34313/3680. Let u = 45/46 + x. Calculate the common denominator of u and 430/36 - 24/6.
90
Let m = 2372824851/376 - 6310716. Let p = 11/47 + m. What is the common denominator of 762/60 + 1/(-2) and p?
40
Let s(x) = 85*x**3 + 2*x**2 + x - 1. Let h be s(-2). Let m = h + 2655/4. Calculate the common denominator of m and 3 + -27 + 1/(-2).
4
Suppose -4*a + 33 = 5*p - 2, 5*p - 25 = -3*a. Let f = -5 + 5. Let s = f + 2. What is the lowest common multiple of s and a?
10
Let t = -21524228/105 - -204987. Let s = t - -274/21. Let k = 89/5 - 717/40. What is the common denominator of k and s?
40
Suppose -3*y - 5 = 10. Let c = y + 10. Let w = 31 + -22. What is the least common multiple of w and c?
45
Let u = 491 - 4358/9. Find the common denominator of 5 + 0 - (-1 + (-364)/(-32)) and u.
72
Let g(u) = u - 2. Let s(h) = -1. Let d(l) = g(l) - s(l). Let j = 10 - 6. What is the lowest common multiple of d(2) and j?
4
Suppose -10*v + 715 = 135. Calculate the lowest common multiple of 6 and v.
174
Let n = 34 - 20. Suppose b - 5*b + 5*a = 13, 3*b - n = -a. Suppose -4*f = -u - 21, 6*u = 5*f + 3*u - 28. Calculate the least common multiple of b and f.
15
Suppose -4*j + 4 = -16. Suppose j*a = 22 - 72. What is the common denominator of -73/4 and ((-23)/(-2))/(a/(-15))?
4
Calculate the common denominator of -15/44 and 4 + (16/4 - (-284)/(-24)).
132
Find the common denominator of -2 - ((-196)/(-24) - -2) and (-1)/(-4) - 7/16.
48
Let q = -40 + 54. Suppose 0 = -4*d + 7*d + 2*i - 22, -5*d = 5*i - 45. Calculate the least common multiple of d and q.
28
Let m = 483343 + -106335063/220. Let z = m + -3/55. Calculate the common denominator of 79/8 and z.
8
Let z = -14 + 16. Suppose 20 = 2*y + z*g, -y + 2*g + 2 = -11. What is the lowest common multiple of y and 28?
308
Let a = 34 + -20. Calculate the common denominator of a/(2 - 15/6) and -31/6.
6
Let q(i) = i**2 + 2*i - 2. Let k be q(2). Calculate the lowest common multiple of (k/4)/(5/10) and 9.
