+ -9). Let p = t + 2/9429. Find the common denominator of p and 47/5.
35
Let f(p) = p**2 - 2*p + 3. Suppose -5*w + 5 = -j - 6, -3*w - 5*j + 29 = 0. Calculate the smallest common multiple of f(w) and 8.
24
Let d(h) = 9*h**2 + 7*h + 10. What is the least common multiple of d(-2) and 40?
160
Let x = 26523/8 - 3311. Let w be 1639444/(-448) - 2/(-7). Let t = w + 3653. What is the common denominator of t and x?
16
Let l = 197/6 + 17/3. Calculate the common denominator of -73/6 and l.
6
What is the common denominator of -37/8 and (-693)/(-300) - (-6)/(-24)?
200
Let p = 3 - 0. Suppose -p*k - 6 = 0, 5*f + 4*k = 40 + 42. What is the smallest common multiple of 4 and f?
36
Let w(x) = -x + 9. Let z = -4 + 3. Let y(o) = -8*o - 1. Let i be y(z). What is the lowest common multiple of 6 and w(i)?
6
Let l(j) = -j**3 - 7*j**2 - 7*j - 1. Let u be l(-6). Let a = u + -5. Suppose 5*r - 119 + 9 = a. What is the smallest common multiple of r and 20?
220
Suppose -7*y = -12*y + 70. What is the smallest common multiple of y and 22?
154
Let y(s) = s + s**3 + s + 8*s**2 - s - 5 + 3*s. Let p(x) = x - 18. Let d be p(11). Calculate the least common multiple of 8 and y(d).
16
Suppose -24 + 9 = 5*j + 5*c, -3*c = -j + 5. What is the lowest common multiple of (4 - 5)/(j/11) and 2?
22
Let j(l) = 7*l - 2. Calculate the least common multiple of 8 and j(2).
24
Let s(v) = v + 54. Suppose 4*x - 2*x = 0. What is the smallest common multiple of 10 and s(x)?
270
Suppose 2*b + 6 = 10. Calculate the smallest common multiple of b and 1 - 21*1*-1.
22
Let i = 5173/9 + -576. Find the common denominator of i and ((-2)/20)/(4/(-365)).
72
Suppose 2*j = -3*j - 25. Find the common denominator of (-207)/(-42)*j/15 and 59/10.
70
Suppose 4 = -3*o - o. Calculate the common denominator of 11/4 and ((-103)/12)/(-2 - o).
12
Let z = -11951 - -179192/15. Find the common denominator of z and 27/5.
15
What is the common denominator of 97/10 and (48/40)/((-3)/((-315)/(-4)))?
10
Suppose -117 = 5*d - 7. Let k = -10 - d. Let a(i) = -i**2 - 6*i - 1. What is the smallest common multiple of k and a(-5)?
12
Let h(u) = 27*u**3 - u. Let o be h(1). Let q be o/((-1)/((-75)/(-6))). Let s = q - -3253/10. What is the common denominator of 49/4 and s?
20
Let h(c) = c**2 + c - 10. Calculate the least common multiple of h(5) and 102.
1020
Let n(d) = -3*d - 18. What is the least common multiple of n(-12) and 40?
360
Let a = -6/1693 - 81222/11851. Calculate the common denominator of a and -47.
7
Suppose -2*i + 23 = i - 2*s, 4*s - 42 = -2*i. Let r = 15 - 5. What is the lowest common multiple of r and i?
110
Let o be 8*-1 + 2 + 0. Let l = 8 + o. Calculate the lowest common multiple of l and 22.
22
Suppose 0 = -5*l + 3*c + 34, 2*l + c = 8 + 10. What is the lowest common multiple of l and 10?
40
Let y = -36800 - -112858/3. Let d(h) = 828*h. Let u be d(1). Let g = u - y. Calculate the common denominator of -44/3 and g.
3
Let z = -778/21 - -4775/168. Calculate the common denominator of z and 107/22.
88
Let d(b) = b**3 - 5*b**2 + 7*b + 1. Let o be d(3). Suppose 25 + 19 = o*v. What is the lowest common multiple of v and 4?
44
Let h be 34/8 - 2/8. Suppose 11 - h = w. Calculate the common denominator of ((-1)/w*1)/(-2) and -85/22.
154
Calculate the least common multiple of 4/6*(5 + 1) and 22.
44
Let y(h) = 10*h**2. Let t be y(-2). Let r = t + -151. What is the common denominator of -51/7 and ((-4)/(-6))/(10/r)?
35
Let n = -75853/10 + 7592. Find the common denominator of 35/12 and n.
60
Let h = 10811/546 + 3/91. What is the common denominator of 31/25 and h?
150
Suppose -c - 60 = -6*c. Calculate the smallest common multiple of c and 20.
60
Let a be 3 - -2*(-2)/(-4). Suppose -12 = f - a*f. Calculate the smallest common multiple of f and 11.
44
Let g(j) = j + 11. Suppose -2*o + 4*u = 12, o + o + 3*u - 23 = 0. Calculate the least common multiple of g(-7) and o.
4
Let j = 274 - 263. Let q be 16/7 - (-2)/(-7). Suppose -20 = -4*x, -4*y + 3*y - q*x + 16 = 0. What is the smallest common multiple of j and y?
66
Calculate the smallest common multiple of 1 + 2 + -3 - (6 - 14) and 1.
8
Find the common denominator of (22/50)/((-9)/(-45)) and -133/18.
90
Let i be (-10)/35 + 16/7. Suppose -n + 4*n - 60 = 0. Calculate the smallest common multiple of n and (i - 32/7)*-7.
180
Calculate the common denominator of 73/20 and ((-8080)/(-105))/(-4)*(-2)/(-32).
420
Let v be (1 - 2)*1 - -4. Suppose v*j = -2*j + 20. What is the lowest common multiple of 12*(-1)/(-5)*5 and j?
12
Suppose -4*q + q + 24 = 0. Find the common denominator of (110/q)/((-5)/(-10)) and (5/(-21))/(2/(-48)).
14
Let a = -24037/2796 - -42/233. Find the common denominator of a and -119/6.
12
Let p = 261431/16 - 16334. Suppose -2*c - 12 = -4*c. What is the common denominator of (c/(-20))/((-9)/(-87)) and p?
80
Let d = 256547/18 + -14249. Let s = 2228629/31 + -71903. Let n = s + 6957/310. Calculate the common denominator of n and d.
90
Suppose -4*i + c + 43 = 0, -2*i + 5*c = i - 45. What is the common denominator of 594/(-140) - i/25 and -139/12?
84
What is the least common multiple of (15 + -16)*-6*1 and 6?
6
Suppose -9 = 2*b - 5*b. Suppose 0 = 3*u - 3*j + 5*j - 37, b*j = 4*u - 38. What is the lowest common multiple of 5 and u?
55
What is the smallest common multiple of (-1)/(-5) + 590/50 and 6?
12
Find the common denominator of 31/22 and (-430)/(-84) + 2/(-7).
66
Let i(l) = 3*l + 2. Let p(q) = q - 1. Let w be p(5). Suppose -a - 30 = -w*a. Calculate the lowest common multiple of i(4) and a.
70
Let y(t) = t**2 + 3*t. Let g be 20/(-50) + 17/5. What is the least common multiple of 14 and y(g)?
126
Let q = 661/132 - 83/12. What is the common denominator of q and 1/10?
110
Let v be 3/(-4) + (-2)/8. Let p be (58/(-44))/(v/(-196)). Let w = -259 - p. What is the common denominator of -67/6 and w?
66
Let b = 8147/354 - 286/59. Let g be 1 + -1 + (-10163)/1298. Let a = 588/59 + g. Calculate the common denominator of b and a.
66
Let h be 3/2 - 10609/7073. Let q = 385474/63657 + h. What is the common denominator of 91/10 and q?
90
Let s = 6 + -7. Let q = s + 15. Calculate the least common multiple of 12 and q.
84
Let j = -11 + 22. Calculate the lowest common multiple of 14 and j.
154
Let m = 7965/11 + -727. Suppose 1 = -2*d - 0*h + 5*h, 3*h + 6 = -d. What is the common denominator of d*(-2 + 58/10) and m?
55
Let x be 6/33*603/24. Let l = -2/11 - x. What is the common denominator of 1 - (-9)/(-20)*7 and l?
20
Let u be -1*1689/1425*-1. Let f = 23/25 + u. Let q = 71/133 - f. Calculate the common denominator of q and -14.
7
Let k = 5 - -6. What is the smallest common multiple of k and 1?
11
Suppose 0*o + o - 29 = -2*c, 0 = 2*o + 5*c - 60. Find the common denominator of 10/o - (-882)/20 and 53/11.
22
Let c = 15 + -21. What is the common denominator of 65/8 and ((-2)/(-12))/((-8)/c)?
8
Calculate the common denominator of (3 + (-110)/35)*1 and -107/20.
140
Suppose -2*f + 13 = s, 5*f = 5*s - 3 + 13. Let u = 59775/22 - 2718. Find the common denominator of u and 3/s + 70/8.
44
Suppose 0 = -t - 0*t - 4*r - 4, 0 = -3*r - 6. Let x(g) = -g**3 - 11*g**2 + 11*g + 2. Calculate the least common multiple of t and x(-12).
28
Let f = -157933/3 - -52084. Let y = f - -574. Let r = 10867/1278 + -2/639. Find the common denominator of r and y.
6
Let c be ((-8)/6)/(-2)*-12. What is the common denominator of -45/2 and 59/(-18) + (c - -4)?
18
Let v = -146838/223163 + -3/5443. Find the common denominator of 17/8 and v.
328
Suppose -13 = -5*q + 212. Suppose 5*v = 5*w + q, 4*v - w = -4*w + 1. Suppose 30 = -3*m + 6*m. What is the least common multiple of m and v?
20
Suppose 6*s - 66 = 3*s. Let x be (-4)/14 + (-16)/(-7). Suppose w + 36 = 3*m - x*w, -4*m + 68 = w. What is the lowest common multiple of s and m?
176
Let o(i) = -i**3 + 16*i**2 - 15*i + 10. Suppose 0 = -2*k - 2*v + 28, -10 = 3*k - v - 68. Calculate the least common multiple of o(15) and 112/k + (-4)/18.
30
Let f be (-13)/(-4) - (-6)/8. Suppose 5*p = 2*y + 44, -p = -f*p - 3*y + 39. What is the lowest common multiple of 6 and p?
30
Let q be (-5)/2*(-60)/5. Suppose 1 = -v + 6, -5*f - q = -2*v. Find the common denominator of -3/10 and (f/(-8))/((-18)/(-39)).
60
Let q = -51797/12 + 4319. Find the common denominator of 127/24 and q.
24
Let o be -2 + ((-367140)/93)/(-2). Let v = 26307