36
Let q(v) = 86*v - 10. Let x be q(5). Let r = x + -1285. Calculate the common denominator of 107/52 and (-1)/(-4) + r/(-20).
52
Suppose -a - 4*u - 7 = -2*a, -5*a - 5*u + 60 = 0. Suppose -q = 5*j - 36, -2*j - q - 35 = -50. Calculate the smallest common multiple of j and a.
77
Suppose -80*f + 68*f = -36. Let u = -6 + 11. Suppose -u*m + 23 = f. What is the smallest common multiple of m and 21?
84
Suppose a = 7*a - 48. Let n(v) = -2*v. Calculate the smallest common multiple of n(-6) and a.
24
Let y = -8417/5 + 1693. What is the common denominator of 77/50 and y?
50
Let n = 4866651/100 + -48667. What is the common denominator of n and 29/50?
100
Suppose 2*a - 20 = -0*a. Suppose 0 = -19*o + 12*o + 84. Suppose -5*s + 8 = -o. What is the lowest common multiple of s and a?
20
Let z = 117001/25 - 4681. Calculate the common denominator of -73/50 and z.
50
Let q(g) = 16*g**2 - 2*g + 3. Let i be q(2). Let l = i + -57. Calculate the lowest common multiple of l and 30.
30
Calculate the lowest common multiple of 28 and 129 - -2 - (-27 + 20).
1932
Calculate the smallest common multiple of (34/(-51))/((-2)/24) and 11.
88
Suppose -v = -4, -w + 4 = v - 0. Suppose 0 = 4*y - 4, 2*t - 3*y + 1 = -w*y. What is the smallest common multiple of 11 and t?
11
Calculate the least common multiple of 150 and 51 + 4*(-9)/6.
450
Let f = 1 + 8. Let c = f + -9. Let i = c - -9. What is the lowest common multiple of 1 and i?
9
Suppose 4*f = 65 + 23. What is the lowest common multiple of f and 3/((-9)/(-36)*3/4)?
176
Let s(g) = 12*g**2 - g**3 + 7 - 2 + 15*g**2 - 34*g**2. Calculate the lowest common multiple of s(-7) and 3/(-12) - (-180)/16.
55
Suppose -2*m - 9 = 15. Calculate the common denominator of (-6)/9 + (-602)/m and (-1)/(-2) + 66/21.
14
Let f = -1278 + 3877/3. Find the common denominator of f and 89/18.
18
Let i = 25771/22 - 1169. Let p be ((-13884)/(-8))/((-1)/4). Let a = p + 125017/18. Calculate the common denominator of i and a.
198
Let z = 63 - -449. Let v = 1051/2 - z. Find the common denominator of 3/15 - (-267)/40 and v.
8
What is the common denominator of (-87)/24 - 2*12/(-8) and 45/104?
104
Let v = 1/880740 + -40074211/476480340. Find the common denominator of 31/10 and v.
5410
Let g = 159/7 + 57/28. Calculate the common denominator of -37/108 and g.
108
Suppose 5*f = 3*v - 23044, -4*v - 2*f + 4*f + 30702 = 0. Let b = -17312 + v. Let a = -211969/22 - b. Find the common denominator of a and -81/22.
22
Let m = 31 - 28. Let w be ((-4)/(-3))/(8/12). Suppose 4*b + b - 48 = -3*y, -m*b = -w*y + 32. Calculate the lowest common multiple of 10 and y.
80
Let z(n) = n**2 + n. Let d = -15 + -49. Let u = -32 - d. What is the least common multiple of u and z(-3)?
96
Let w = -27 - -16. Let y = w - -31. Calculate the smallest common multiple of 16 and y.
80
Let a = 113043479493609/15730 - 7186489469. Let i = a + 5/1573. Calculate the common denominator of 15 and i.
10
Let r(z) = 2*z**2 + 13*z + 27. What is the least common multiple of 48 and r(-3)?
48
Let p = 10310 - 185485/18. Find the common denominator of p and 2/(-7) + 891/(-336).
144
Let l = 11 - 9. Let d(t) = -l - t**3 + 2*t - 3*t**2 + 4*t**2 + t**2. Calculate the smallest common multiple of 6 and d(2).
6
Let v = -188 + 204. Calculate the smallest common multiple of v and 2680.
5360
Find the common denominator of -25/72 and (51 - 44) + 169/(-16).
144
Let s = -779/8 + 105. Find the common denominator of s and 170/1105 - 854/312.
24
Suppose 4*x - 2*q - 26 = -3*q, 0 = 2*x - 3*q - 6. What is the lowest common multiple of 44 and x?
132
Calculate the common denominator of (25/(-66))/(1/(-3)) and 27/12 - 3 - (10 - 12 - -2).
44
Let b = 33353736/7505 - 22221/5. Let i = 38694701/92 - 406559007335/966644. Let a = b - i. What is the common denominator of -95/6 and a?
42
Let l = -6561479/126 + 52074. What is the common denominator of l and -3/154?
1386
Let z = 576874437691/176113905 + 3/5336785. Let v = z + -3276. What is the common denominator of v and 58/27?
297
What is the smallest common multiple of 4 and (-8)/6 - ((-68)/6 - 6)?
16
Let f = 382 + -2631/7. Calculate the common denominator of 73/248 and f.
1736
Let m = 20 + 84. What is the common denominator of ((-6)/(-4))/(18/m) and 100/35*9/5?
21
Suppose -5*p + 5159 + 6931 = 0. Let m = p - 9773/4. Calculate the common denominator of 386/88 + 1/(-4) and m.
44
Let x = 1210 + -6029/5. Calculate the common denominator of 63/5 and x.
5
Let u be (2/6914)/(2*3/(-12)). Let g = 69158/31113 + u. Find the common denominator of g and -113/24.
72
Let n = -54 + -108. Find the common denominator of 20/(-18)*(-8 - n/45) and (49 - (-2)/2)*1.
9
Suppose -5*f + 568 = -3*f + x, -874 = -3*f + 4*x. Calculate the lowest common multiple of 44 and f.
572
Suppose 38*o - 13160 = 5650. What is the lowest common multiple of 5 and o?
495
Suppose -53 = k - 5*p, -4*k + 3*p = -k + 159. Let a = -46 - k. Calculate the smallest common multiple of a and 62.
434
Let k be 8/(-2) - (-632)/172. Let r = 417/172 - k. What is the common denominator of -41/7 and r?
28
Let p = 6138215/18 - 340803. Let o = -209 + p. Find the common denominator of 33/26 and o.
234
Suppose 72 = k - 6*k + 3*b, 68 = -5*k + 2*b. Let h = 20 + k. Calculate the lowest common multiple of h and (0 - -3)*(-3)/(-3).
24
Let g = -1021 + 1041. What is the least common multiple of g and 860?
860
Let j(w) = -w**3 + 2*w**2 - 4*w + 2. Let n be j(2). Let r(b) = 4*b - 1. Let a be r(-5). Find the common denominator of 73/10 and ((-12)/a)/(n/(-49)).
30
Let o = -252 + 2083/8. Find the common denominator of 4/1 - (-232)/(-56) and o.
56
Suppose 0 = -2*d + 2 - 10. Let t be d/(-14) - 312/(-84). Suppose -t*x - 8 + 28 = 0. Calculate the least common multiple of x and 9.
45
Let i = 2 + -4. Let c = 2 - i. Suppose -v = 4*z - 2*v - 18, z + 2*v = 0. Calculate the smallest common multiple of z and c.
4
Calculate the common denominator of 4/55*(-6 - 6/12) and 77/15.
165
Let m(t) be the first derivative of -1779*t**2/2 - 5*t - 3. Let j be m(5). Let i = 195911/22 + j. Calculate the common denominator of i and 95/14.
154
Suppose 5*y = 263 - 43. What is the smallest common multiple of 12 and y?
132
Suppose 0 = -0*r + 3*r - 1704. What is the least common multiple of r and 8?
568
Let m = 22 + -27. What is the common denominator of (770/32)/m - 1 and 91/132?
528
Suppose -4*c + 2 - 4 = -2*i, -5 = -5*c - 5*i. Let l(s) = 3*s - 7 - 4*s + c*s. Calculate the lowest common multiple of l(-13) and 4.
12
Suppose 1 + 39 = 2*g. What is the lowest common multiple of 8 and 20/g*7*1?
56
Let b = 1522 - 1414. Calculate the lowest common multiple of 88 and b.
2376
Let p be ((-1379)/(-462) + -3)/(14/20561). Let v be ((-8)/(-96))/((-77)/(-2)). Let u = v + p. Find the common denominator of -73/21 and u.
84
Let g be 350988/8672*(-2)/(-36). Let s = g + -21/1084. What is the common denominator of -151/18 and s?
144
Suppose 3*m = 4*w + 62, -4*w + 51 = 4*m + 15. Calculate the lowest common multiple of ((-3)/2)/(3/(-16)) and m.
56
Suppose -12 = -l - x, -4 - 16 = -4*l + 3*x. What is the least common multiple of 2 and l?
8
Let i(o) = 2*o**2 + 2*o - 6. Calculate the least common multiple of i(2) and 5.
30
Let a = 478 - 343. What is the least common multiple of a and 105?
945
Let x = 44719403/304 + -2574438/19. Let d = 11611 - x. Find the common denominator of d and (-1 + (-538)/(-4))/21.
112
Let m be (-94)/12 - 11/66. Let w = m + 6. Find the common denominator of w/(-6) + (-407)/22 and -145/6.
6
Suppose -11*j = -55*j + 1100. What is the lowest common multiple of 135 and j?
675
Let z = 6479/6 - 1089. Let j = -48/5 + 1387/120. What is the common denominator of j and z?
24
Let i be 6/(-3) - -3 - 1. Suppose i = -6*k + k - 80. Calculate the common denominator of -11/6 and k/(-4) - (-140)/(-88).
66
Let g(u) = -u**3 + 2*u**2 + 4*u + 2. What is the lowest common multiple of g(-2) and 6*1*5/30?
10
Calculate the common denominator of 3 - 1 - (115/100)/(-1) and -87/26.
260
Let b(p) be the first derivative of -p**2/2 + p + 4. Let m be b(8). Calculate the smallest common multiple of 2 and (-2)/m + (-120)/(-21).
6
Suppose 0 = s + 12189 - 4416. Let i = 124299/16 + s. Calculate the common denominator of i and 2524/280 + (-2)/(-7).
80
Suppose 0*b = -4*b - 24. Let i(c) = c**2 - 3. What is the lowest common multiple of 12 and i(b)?
13