308
Let q = 848810533/6783788 - 283833/2909. Let p = q + -1329/53. What is the common denominator of -37/68 and p?
748
Let n(i) = 25*i - 26*i - 2*i**2 - 17*i - 26. Calculate the least common multiple of n(-6) and 20.
20
Let y = -1 + 5. Suppose -2*t - 10 = 0, -3*f - 2*f = -5*t. What is the least common multiple of f/y*1*-4 and 2?
10
Let w be (-4)/(-16)*66*4458. Let m be (-1)/(-6) + 4557/w. Let j = m + -1/743. Find the common denominator of j and -137/84.
924
Suppose -5*t = -0*t - 565. Find the common denominator of -3 - 1*t/(-8) and 3 - 67/18 - -4.
72
What is the common denominator of 26771/(-4256) - (-6)/1 and 31/12?
672
Suppose 23585 = 4*f + v, 0*f + 2*v = f - 5885. Let s = -235733/40 + f. What is the common denominator of -103/20 and s?
40
Let b(d) = 2*d**2 - 33*d - 29. Let n(m) = -m**2 + 16*m + 15. Let w(i) = 6*b(i) + 13*n(i). What is the lowest common multiple of w(11) and 10/4*(2 + 0)?
10
Let h be 18/27 - 3/((-2925)/(-683)). Let n = h - -811/325. Find the common denominator of 1/(12*6/801) and n.
104
Suppose 3*h - 87 = 2*j, -h - 5*j = -6 - 6. What is the lowest common multiple of h and 51?
459
Suppose -4*q + d = 2529, -5*q - 858 = -5*d + 2307. Let m = 241/117 - -584593/936. Let p = q + m. What is the common denominator of 55/4 and p?
8
Let c(w) = -7*w - 45. Calculate the smallest common multiple of 15 and c(-30).
165
Let z be 4 + (-1012)/(-1 + 0). Calculate the common denominator of 65/4 and z/48 - 2/2.
12
What is the common denominator of 137/140 and (-10)/(-24)*(-7110)/(-750)?
140
Find the common denominator of -4/21 and (-19)/(-760)*876/(-63).
210
Let i = 53 + -29. Let g = 42 + -12. Calculate the smallest common multiple of g and i.
120
Let v be (1 - -3) + 1474/(-66). Let d = v - -485/24. What is the common denominator of d and -45/28?
56
Suppose 25*o + 970 = 4970. Calculate the smallest common multiple of o and 256.
1280
Suppose 4*b = 2*f + 37 - 11, 0 = -5*f - 15. Suppose k - 75 = -4*k - 5*g, -b*k + 84 = 2*g. Calculate the smallest common multiple of k and 4.
36
Let j = 237/10 - 76/3. Let a = -27579 - -1158205/42. What is the common denominator of j and a?
210
Let l = 2 - 2. Suppose 4*w + 9 - 1 = l. Find the common denominator of -5/7 and 14/(-126) - w/(-2).
63
Let f = 231/5 - 101/2. Let r be 67*(1 - 2)*(-1)/1. Calculate the common denominator of -3 + (r/17 - -2) and f.
170
Let w = -52 + -13. Calculate the common denominator of 1 - (-16)/(-5)*-2 and (-1)/1 + -7*w/210.
30
Let l(p) = p**2 - 2*p - 9. Let w be l(4). What is the common denominator of -4/11 and 803/44 - (-1)/w?
44
Let l = 491 + -477. Calculate the smallest common multiple of l and 1104.
7728
Let b = -911 - -494. Let h = b - -207. Let l = 1880/9 + h. Find the common denominator of l and -41/10.
90
Let b(j) be the first derivative of 3*j**2 - 4*j + 7. Let t be b(4). Calculate the lowest common multiple of 16 and (-8 + 0)*(-45)/t.
144
Calculate the common denominator of (-86)/(-6) - 0 - 7 and -61/51.
51
Calculate the common denominator of 52/117 + 6/(-9) and 76/15.
45
Suppose 4*p - 4 - 10 = -3*q, 2*p - 4 = 0. Suppose n + 93 = 5*h + 4*n, 0 = 4*h + 3*n - 75. Calculate the least common multiple of q and h.
18
Let w(u) = -u + 4. Let p be w(0). Find the common denominator of (-6)/(-9) + 42/p and (-55)/(-22) + (-2)/9 + -1.
18
Let v = -81097/10 - -8119. Find the common denominator of v and 79/26.
130
Let o = 14 + -7. Suppose 3*m = 4*u - 57, -3*u = -3*m - 10 - 38. Calculate the least common multiple of u and o.
63
Let k = 313 + -277. What is the least common multiple of k and 72?
72
Let r(z) = -5*z + 1. What is the lowest common multiple of r(-7) and 40?
360
Let q = 12 - 8. Suppose 5*a + 4*z = 20 + 20, 4*a - 32 = -3*z. Calculate the lowest common multiple of a and (2/q - -3)*4.
56
Let p be -4 - (-4 - 48/(-107)). Let y = p + 10003/1070. Find the common denominator of -48/11 and y.
110
Find the common denominator of -127/36 and (1/(-81))/(-10 + (-4388)/(-438)).
108
Suppose -3*i = 59 + 37. Calculate the common denominator of (-78)/i - (-2 + 1) and -1 - ((-47)/(-18) + -1).
144
Suppose -2*f + 27 = g + 3*f, g - 3*f = 3. Calculate the least common multiple of 66 and g.
132
Let p = -125 - -148. What is the common denominator of -3 + 1 + (3381/36)/p and 47/9?
36
Let m = -7 - -11. Suppose -2 = -m*p + 22. What is the lowest common multiple of 30 and p?
30
Let n(m) = m + 1. Let b be n(0). Let j = -254/7 + 1431/35. What is the common denominator of ((-159)/(-27) - b) + 3 and j?
45
Suppose 5 = g - r, 4*g - r - 5 = -0*r. Suppose g = -h - 3*h + 8. Suppose -4*a + 19 = -29. Calculate the smallest common multiple of h and a.
12
Suppose -i + 96 = 34. Let x be (i + -2)*2/4. Suppose x = 4*z + 6. What is the smallest common multiple of 11 and z?
66
Let n = 138809/10 - 13869. What is the common denominator of n and -37/21?
210
Suppose -5*f - z + 109 = 0, -24 = -2*f - 5*z + 15. Suppose -64 = 18*w - f*w. What is the least common multiple of w and 8?
16
Let w(c) = -c**2 + 7*c - 1. Let q be w(6). Find the common denominator of 41/30 and q/(-3) + 1 + 1430/132.
30
Suppose 0 = m + 10. Let n = m - -12. Calculate the common denominator of -49/16 and 2/n + 282/(-36).
48
Calculate the common denominator of 2 + ((-1572)/(-80))/(-3) and (-137)/(-6) + (-4)/(-6).
20
What is the common denominator of (4/6)/(1692/(-6533)) and -113/24?
216
Find the common denominator of 1 + 777/264 + (-4)/(-22) and 17/84.
168
Suppose 5*h = -3*b + 25, 0 = h + 2*b + 1 - 13. What is the least common multiple of 22 and h?
22
Let w(s) be the first derivative of 13*s**4/4 + s**2/2 - s + 11. Let z be w(1). Let n = z + -2. What is the smallest common multiple of n and 5?
55
Suppose s = 5, -4*p = -5*p - 2*s + 10. Suppose -3*t + 15 + 3 = p. What is the smallest common multiple of 2 and t?
6
Let q = -89/30 + 14/5. Let f = q - 115/12. Calculate the common denominator of f and -9/17.
68
Let o = -3 + 15. Let g = 8 + 8. Calculate the lowest common multiple of o and g.
48
Suppose h + 5*o = 40, h + 2*h - 200 = 5*o. Calculate the lowest common multiple of 18 and h.
180
Let s = -301 - -346. What is the smallest common multiple of s and 70?
630
Let g = 207689/18 - 11533. Let s = 4295/14 - 309. What is the common denominator of g and s?
126
Suppose 4*f - 23 = -r + 13, -4*r + 79 = 3*f. Find the common denominator of (r/55)/((-18)/(-120)) and 5/27.
297
What is the common denominator of 41/36 and 2 + -4 + ((-90)/(-24) - -5)?
36
What is the common denominator of 143/102 and (-4 - 12/(-72)) + (-2)/8?
204
Let r = 4355 + -43487/10. What is the common denominator of r and 43/6?
30
Let b = -1 - -29. What is the lowest common multiple of 80 and b?
560
Let o(b) = b**3 - 2*b**2 - 3*b + 4. Let n be 3/(-12) - (2 + 1748/(-16)). Let c = n - 89. Calculate the smallest common multiple of c and o(3).
36
Let v = -788/21 - -8707/231. Calculate the common denominator of 67/21 and v.
231
Suppose -13*d + 10*d = -6459. Let n = d - 77377/36. Calculate the common denominator of n and 25/12.
36
Let r = 1/32 + 11/32. Find the common denominator of 3 + (6/(-104))/(24/(-16)) and r.
104
Calculate the smallest common multiple of 7 and (85/(-2))/(16/(-32)).
595
Suppose 0 = 2*r + 2*j - 3*j + 41, -5*r + 3*j - 105 = 0. Calculate the common denominator of -93/2 and 4/r + 26/(-12).
18
Suppose 2*w + 15 = 5*w. Let u be 2/4*2 - (-20 - 17). Suppose -w*h = -2*m + u, -m - 3*h - 2*h = -4. What is the smallest common multiple of m and 6?
42
Let z = -26 + 150. Calculate the common denominator of z/(-35) + (8/10)/2 and 22.
7
Suppose -3*f + g + 6 + 37 = 0, g = -2*f + 37. Let o(w) = -6*w**2 - 403*w - 47. Calculate the lowest common multiple of o(-67) and f.
80
Let c(s) = 3*s**2 + 2*s + 1. Let k(q) = -14*q**3 - 2*q**2 + q + 3. Let a be ((-2)/12*-3)/(16/(-32)). What is the smallest common multiple of c(-3) and k(a)?
154
Find the common denominator of 29/14 and 300/(-396)*2*-3.
154
Let i(y) = 7*y**3 - 5*y**2 + 2*y + 4. Let t be i(4). Let w = 25439/12 - 2111. Calculate the common denominator of w and ((-2)/5)/(176/t).
132
Let v = -123207/80 - -6159/4. Calculate the common denominator of 107/24 and v.
240
Suppose 756 = 5*s - 2*g - 2*g, 3*s - 4*g = 460. Calculate the smallest common multiple of 14 and s.
1036
Suppose 5*o - 212 = -7. Let i = o + 3. What is the lowest common multiple of i and 40?
440
Let d(m) = -m -