
Let m = -224215/27 - -8307. Calculate the common denominator of m and -77/30.
270
What is the common denominator of -35/26 and 2*101/(-12) + (-4)/2?
78
Let z be ((-18)/(-4))/(9/12). Suppose w - z - 16 = 0. What is the lowest common multiple of 22 and w?
22
Let b = 18 - 4. Calculate the lowest common multiple of ((-5)/(-3))/(45/162) and b.
42
Suppose 4*l = 3*l + 6. What is the lowest common multiple of 8 and l?
24
Let d = -2/4747 - 223089/47470. Calculate the common denominator of -2 and d.
10
Let t(a) = 12*a**3 + a**2 - 1. Calculate the least common multiple of t(1) and 8.
24
What is the common denominator of 57/86 and 14/(-7)*147/48*1?
344
What is the common denominator of 73/8 and 1/(-4) + (-215)/(-20)?
8
Find the common denominator of 43/22 and (-516)/(-432) + 2/(-4).
396
Let t(x) = -3*x + 11. What is the smallest common multiple of t(0) and 11?
11
Let i(q) = q + 5. Let b be i(0). Suppose -b*j - 16387 = -8*j - o, -3*o + 5465 = j. Let g = j - 120107/22. Find the common denominator of g and 13/8.
88
Suppose -4*h + 4 = -2*w - 14, -w + 11 = 2*h. Suppose -g + h*k = -0*k + 19, -2*g = -4*k + 8. Calculate the smallest common multiple of 12 and g.
12
Suppose 35 = 4*v - 5. Let i be (-3)/(12/14)*-2. Suppose l - r = i, r = l - 2*r - 13. Calculate the lowest common multiple of l and v.
20
Suppose -4*m + 32 = 2*w - 7*w, 0 = -3*m + 4*w + 24. What is the smallest common multiple of m and -2 + 1 + 6*1?
40
Suppose -3*w = -4*c + 38 + 6, 0 = w + 4. What is the lowest common multiple of c and (-2)/(-5) + 78/5?
16
Let l be (-2 - -4)*(-1 + -2). Calculate the common denominator of -55/4 and 2/(-3) - (-15)/l.
12
Let s be (-26)/(-6) + (-4)/12. Let r be -1*(2 + 0 - s). Suppose 30 = 5*f - r*f. What is the smallest common multiple of 22 and f?
110
Let c = 52 + -50. What is the lowest common multiple of c and 8?
8
Let s = 153/2 - 361/6. Calculate the common denominator of s and 46/3.
3
Let u be 0/((-3 - -2)/(-1)). Let i(o) = -o + 4. Calculate the lowest common multiple of 10 and i(u).
20
Suppose -5*k - 12 = -3*i, -4*i - 39 = -8*i - k. Calculate the lowest common multiple of 6 and i.
18
Let u = -109421487/37766024 - 5/140918. Let s = 3/134 + u. Calculate the common denominator of s and (-12)/(-75)*(-165)/6.
40
Let r = -11 - -5. Let v = 6 - 2. What is the lowest common multiple of v and (8/10)/(r/(-135))?
36
Let l = 10958 + -7597. Let n = l + -33677/10. What is the common denominator of -9/16 and n?
80
Suppose -n - 4*p - 105 = -p, p - 461 = 5*n. Calculate the common denominator of n/(-21)*14/36 and 102/(-8) - 2/(-6).
36
Suppose 6 - 3 = -3*p, -2*a + 3*p + 43 = 0. Let n(s) be the first derivative of -s**3/3 + 5*s**2 + 13*s + 4. What is the lowest common multiple of n(9) and a?
220
Let q be -3*(-4)/24 + 103. Let n = q + -121. Find the common denominator of n and -18/11.
22
Let l(m) = 6 - 3 - 4*m + 5*m. Let i be l(4). Calculate the common denominator of 69/4 and (i/12)/((-4)/132).
4
Let c = 100/17 - 1375/306. Calculate the common denominator of c and -19/8.
72
Let v = -257/4 + 115/2. Calculate the common denominator of 39/2 and v.
4
Suppose 3*t - 4*g + 115 = -0*g, 2*g - 170 = 4*t. Find the common denominator of t and 35/6.
6
Let i = -9 + 19. Suppose -i = -2*g + 10. What is the smallest common multiple of 4 and g?
20
Suppose j + 4*p - 13 = -3, -p + 12 = 5*j. Calculate the least common multiple of 18 and 4*(j - 0) + 2.
90
Let s(r) = -16*r - 1. Let q be s(2). Calculate the common denominator of 119/20 and q/22*(-41)/21.
140
Suppose 3*l - 78 = 5*l. Let b = l - -55. Calculate the lowest common multiple of 4 and b.
16
Let j(m) = -m**2 + 7*m - 1. Let a be (-2 - -8)/((-6)/(-8)). Let k = -3 + a. Calculate the lowest common multiple of j(k) and 11.
99
Let r(h) = h**3 + 6*h**2 - h + 8. Let v(m) = m**2 - m. What is the smallest common multiple of v(4) and r(-6)?
84
Suppose 5*h + 120 = g - 51, -5*g + 141 = -4*h. What is the common denominator of 125/6 and 51/h + (-38)/16?
24
Let b = -2 - -7. Suppose -b*d = -3*d - 16. Calculate the least common multiple of 5 and d.
40
Let c = 3/335753 + -7355340989/2014518. Let o = -3662 - c. Find the common denominator of o and 77/10.
30
Let j be -2 + (-4 + 2)*5. Suppose -4*m - 16 = -4. Find the common denominator of m/2*(-118)/j and 40.
4
Suppose 5*o - 165 = -5*a, a - 2*o + o - 31 = 0. What is the smallest common multiple of a and 14?
224
Suppose 0 = 2*b - 6 - 14. Suppose -d - 32 = -5*d. Calculate the least common multiple of b and d.
40
Let d = 3658384/110253 + 1/10023. Let g = d - 30. What is the common denominator of g and 545/(-60) + 2/(-8)?
33
Suppose 7*f - 2*f = 60. Calculate the least common multiple of 18 and f.
36
Let l be 1/(-134)*(-5497)/3. Let m = l - 1/134. Find the common denominator of -17/4 and m.
12
Let x be 118876/(-16)*2/25091. Let w = 3/2281 + x. Let m = -2/19581 - 541729/117486. What is the common denominator of m and w?
198
Calculate the common denominator of -1/10 and 17/(-748)*3/2.
440
Let o = -25 + 35. Suppose -28 = -2*r + 2*v, -7*v + 3*v - 74 = -5*r. Calculate the smallest common multiple of o and r.
90
Suppose 0 = -2*m - 9635 - 5237. Let l = -119017/16 - m. Calculate the common denominator of l and 67/6.
48
Suppose -5*i - 14 = -4*w, 0 = -2*w - 3*i - 2 - 2. Let z = 8 + w. Calculate the smallest common multiple of z and 8.
72
Suppose -5*g - 5*c + 60 = -10*c, 0 = 5*g - 3*c - 58. What is the lowest common multiple of 8 and g?
88
Suppose 25 + 7 = 4*l. Let f(b) be the second derivative of -b**5/20 - b**4/2 - b**3/2 + 2*b**2 + 2*b. What is the lowest common multiple of l and f(-6)?
88
Let o = 105/331 + 1351973/3641. Let a = o - 370. Find the common denominator of (-74)/(-5)*(-2)/4 and a.
55
Suppose -5*b - 78015 = -7*n + 2*n, 0 = n - 3*b - 15603. Let k be n/16*42/(-9). Let j = 4559 + k. Calculate the common denominator of j and 35/6.
24
What is the lowest common multiple of 8 + 98/21*6/7 and 36?
36
Let q = -12711/161 + 7348991/3542. Let s = q - 1995. Let r = 7175/4 + -1778. What is the common denominator of r and s?
44
Suppose 6 = -3*i, -4*i + 5*i - 98 = 4*y. Find the common denominator of -109/6 and y/12 - (-1)/4.
6
Let y = -7864 - -157223/20. What is the common denominator of 41/22 and y?
220
Find the common denominator of ((-13)/4)/(-2 + 3) and 37.
4
Suppose a + 6 = -a, -c - 303 = 2*a. Let y = 295451/20 - 14776. Find the common denominator of y and -1 + -1 - c/6.
20
Suppose i - 20 = -15. Let v = 9 + -5. Suppose 4 - 16 = -v*g. Calculate the least common multiple of i and g.
15
Let f = -13199/2 + 6886. Let g = f + -296. What is the common denominator of g and -89/10?
10
Let c = 12 - 6. Let o = 8 + c. What is the least common multiple of 4 and o?
28
Let k(i) = 41*i - 1. Let p be (-1)/((-1)/(-2)*2). Let x be k(p). Calculate the smallest common multiple of (-186)/x + 6/(-14) and 3.
12
Calculate the common denominator of 710/(-36) - (-4)/18 and -87/2.
2
Let y(j) = j**2 - 4*j - 3. Let z be 1/5 - 48/(-10). Calculate the smallest common multiple of 6 and y(z).
6
Let j(c) = -c + 2. Let o be j(2). Calculate the smallest common multiple of ((1 - -2) + 3)*1 and 9*1*(1 - o).
18
Let y = -180/11 + 85/22. Find the common denominator of y and -9/16.
16
Let z(v) = 2*v**3 + 8*v**2 + 11*v + 7. What is the common denominator of -46/87 and z(-4)?
87
Suppose 18 + 9 = 3*j. Suppose -b + j = -13. What is the least common multiple of b and 12?
132
Find the common denominator of 1164/(-18)*(-9)/96 and 51/4.
16
Let t(s) = -290*s + 5. Let o be t(4). Calculate the common denominator of (8/(-28))/((-72)/o) and 27/10.
60
Let a = -27 - -30. Calculate the lowest common multiple of 25 and a.
75
Let r = 1/40 - 1/8. What is the common denominator of r and (-50)/(-16)*(-22)/10?
40
Let y be (-5254)/12 - 9/54. Find the common denominator of -68/3 and 2/(y/105 - -4).
3
Suppose -8 = 5*v - 3. Let m = 10 - 7. Let a = v + m. What is the smallest common multiple of 8 and a?
8
Let v = 21 - 12. What is the smallest common multiple of v and (4 + 4/(-2))*2?
36
Suppose 2*l - 5 = 47. What is the least common multiple of l and 6?
78
Let p(h) = -10*h**2 + 3*h + 6. Let q be p(-4). Find the common denominator of 2 - 2/(48/q) and ((-10)/8)/((-11)/6).
132
Let h be 24/1 - 0/(-1). Suppose -2*j = j - h. Calculate the smallest common multiple of 40 and j.
40
Let t(o) = -o**2 + 11*o - 10. C