
Let o be 42/(-12)*(-80)/14. Suppose -5*y + 5*c = -35, 0 = c - 5*c - o. Let v = 25 + -15. Calculate the least common multiple of v and y.
10
Let a = -3419/8 + 428. Calculate the common denominator of 17/8 and a.
8
Calculate the common denominator of 85/32 and 2/(-7) + (-4113)/1260.
160
Suppose -2*u = -4*s + 5*s - 9, -5*u - 5*s + 15 = 0. Calculate the smallest common multiple of u and 20.
60
Let j(r) = -r**2 - 4*r + 7. Let z = 25 - 3. Calculate the lowest common multiple of j(-5) and z.
22
Let c = -78/5 + 373/30. Let f be (-2021926)/309400 - 2/8. Let o = f + -4/5525. Find the common denominator of c and o.
42
Let n be 11*(2 + 1 + -2). Suppose 4*w + n - 27 = 0. What is the least common multiple of w and -1 - (3 - -2)*-1?
4
Let s = 7/2 + -59/14. What is the common denominator of -75/16 and s?
112
Find the common denominator of (-1 + 64/60)*87 and 47/10.
10
Let l = -26 + 46. What is the smallest common multiple of 18 and l?
180
Let u = 1351013/1012 + -14697/11. Let g be (-16)/(-24)*(-1 + 35/23). Let k = u + g. Find the common denominator of k and -71/9.
36
What is the common denominator of 52/23 and 27/(-10) - (4/(-1) - -1)?
230
Let f = 6081/4 + -15241/10. Let k(q) = q**2 + q - 4. Let x be k(-3). Find the common denominator of ((-96)/(-15) - 3)/x and f.
20
Let p = -28415/11748 + 2/979. Find the common denominator of p and 51/8.
24
Suppose 0 = -2*s - 2*i + 62, -5*i + 17 = 2*s - 57. Calculate the least common multiple of 3 and s.
27
Let p(q) = 2718*q**2 - 2*q - 1. Let g be p(-1). Let d = -29880/11 + g. Calculate the common denominator of d and -34/11.
11
Let f = 2728 - 21895/8. Calculate the common denominator of f and (-71)/(-36) - (100/(-36) + 3).
8
Let o = 49 + 119. Find the common denominator of 119/6 and 122/o + 12/(-84).
12
Let j = -7727 - -46241/6. Let c be (-62)/(-888) + 4/(-6). Let t = c + -240/37. What is the common denominator of t and j?
12
Let m = -126/971 - -4612539/9710. Let v = -466 + m. Calculate the common denominator of v and (-4)/14 + (-562)/42.
30
Let r(v) = -v**3 - 9*v**2 - 7*v + 2. Let s be r(-9). Suppose 5*k - s = -5*u, 8 - 58 = -4*k - 3*u. What is the smallest common multiple of 11 and k?
11
Let z = 8 - -3. Calculate the smallest common multiple of z and 3/2 - 3/(-2).
33
Let p be 1/((6/(-10))/(-3)). Suppose -7 - p = -2*s. What is the lowest common multiple of s and 6?
6
Let m be (9/3)/6*10. Suppose -m + 45 = 5*c. What is the common denominator of c and 55/6?
6
Let a = 512169/367270 - -2/9665. What is the common denominator of a and 44/3?
114
Let z be (-6)/(-9) + (-14)/(-6). Suppose -z*g + 3 + 3 = 0. What is the lowest common multiple of 4 and g?
4
Let t = -322/3 - -535/6. Calculate the common denominator of -7/81 and t.
162
Suppose 36 = 3*q + q. Calculate the smallest common multiple of ((-64)/48)/(4/(-9)) and q.
9
Calculate the common denominator of 2/3 - (-201)/27 and -36/7.
63
Let m(v) = -2 - 7*v**2 + 5*v**3 + 3*v - 4*v**3 + 0*v**3 - 3. Suppose x - 14 = -x. What is the least common multiple of 18 and m(x)?
144
Let g = 18 - 9. Let h be 3/(-9) + (-6)/g. Calculate the smallest common multiple of 50/6 + h/3 and 12.
24
Let y = 17646 - 388107/22. Find the common denominator of y and -101/4.
44
Suppose 6*b - b = -520. Find the common denominator of -45/7 and b/(-36)*6/(-8).
42
Suppose l = -l + 4*a - 314, -a = -l - 154. Calculate the common denominator of (-4)/(-14) - l/84 and 4/6 + 537/(-90).
60
Let g(j) = j**2 - j - 2. Let q(m) = 16*m. Let k be q(1). Suppose -k = -5*y + y. What is the smallest common multiple of g(5) and y?
36
Let d = 69/28 + -5/7. Find the common denominator of d and 71/10.
20
What is the common denominator of 31/10 and (-278)/24 - 3/(-4)?
30
Let d(x) = -x**3 + 2*x**2 + 4*x + 2. Calculate the smallest common multiple of 83 and d(3).
415
Let f = -28 - -38. What is the lowest common multiple of 10 and f?
10
Let a(g) = 6*g + 5. Let r be a(-5). Let d = -9 - r. What is the smallest common multiple of 10 and d?
80
Let h be (15/4)/(24/958). Let o = -601/4 + h. Calculate the common denominator of (291/4)/(0 - 12) and o.
16
Let i(x) = -x**3 - x**2 - x + 2. Let u be i(-2). Suppose 6*l - u = 2*l. Calculate the least common multiple of 2 and l.
2
Let l = 2 + 0. Suppose -2*m = d + l*d - 32, 0 = 5*m + 3*d - 98. What is the smallest common multiple of m and 6?
66
Suppose -2*w + 16 = 2*w. Calculate the least common multiple of w and 4.
4
Let d = -1/15424 - -547559/107968. Calculate the common denominator of -79/18 and d.
126
Let x be (-12)/(-7) + (-1)/3. Let y = x + -4/231. What is the common denominator of y and 124/3*1/4?
33
Find the common denominator of ((-38)/(-15) + -3)*21 and 28/9.
45
Let x = 13 - 9. Find the common denominator of -2 - x/(40/77) and -1 + (-1 - 23/10).
10
Let w = 481/4 - 3441/28. Let m = -1373 + 2817/2. Calculate the common denominator of w and m.
14
Let g be (-165)/(-18) - (-3)/(-18). Suppose 0 = 3*o - 0 - g. Calculate the smallest common multiple of o and 9.
9
Suppose 0 = -4*b - b + 145. Suppose 3*n - b = -5. What is the lowest common multiple of 11 and n?
88
Let l = 30 + 0. Calculate the common denominator of (-140)/l + 0 + 2 and 14/11.
33
Let y = -91 + 142. Find the common denominator of 1*(-12)/27*y and -3/5.
15
Suppose 4*g + 64 = -3*z - 7, z + 3*g + 32 = 0. Let p(k) = -k**3 - 17*k**2 - 2*k + 13. Find the common denominator of p(z) and 23/2.
2
Let c = 0 + -3. What is the least common multiple of 2 and -3 - (2 + c)*7?
4
Suppose 0 = -109*u + 107*u + 30. Calculate the lowest common multiple of 30 and u.
30
Let u be 84028/59132*(-15809)/(-16). Let f = 27/14783 + u. Let t = -1403 + f. What is the common denominator of 19/8 and t?
16
Let p = 15046/9 + -1670. What is the common denominator of -63/10 and p?
90
Let d = 93/2 + -313/6. Calculate the common denominator of d and -26/5.
15
Let r(i) = 5*i**2 + 5. Let x(j) = 2*j**2 + 2. Let o(a) = -3*r(a) + 8*x(a). What is the lowest common multiple of 1 and o(-3)?
10
Let i = -20589/170 + -41201/17. Let o = 2554 + i. Calculate the common denominator of -149/18 and o.
90
Let z = 61 + -54. Let f(x) = x**2 - 7*x + 8. What is the least common multiple of f(7) and z?
56
Let g = 9 + -6. Suppose 66 = -4*q + 7*q. Suppose 0 = -5*u + p - 2 + q, 0 = u - 2*p - 13. What is the smallest common multiple of u and g?
3
Let x = 71 + -27. Calculate the lowest common multiple of x and 16.
176
Let b = -8771/4 + 39987/20. Let q be -1 - (-19)/60*-626. Let n = b - q. Calculate the common denominator of -43/2 and n.
6
Find the common denominator of -31/4 and (-66)/90*9/6.
20
Let k(n) = n**3 + 8*n**2 + 9*n + 2. Let q(c) = c**2 - c - 4. Let z be q(4). Let h(v) = -v**2 + 10*v + 6. What is the smallest common multiple of h(z) and k(-6)?
220
What is the lowest common multiple of 4/(-16) + (-15)/(-12) and ((-4)/8)/(1/(-22))?
11
Let v(x) = -13*x - 1. Let m = -44 + 66. What is the least common multiple of v(-1) and m?
132
Let x = 5 - 6. Let k be (-2 - x)*4*10. Calculate the common denominator of (-284)/k*(-2)/(-2) and -28.
10
Suppose 6*t = 3*t + 3. What is the least common multiple of ((2*-5)/2)/(-1) and t?
5
Let a = 7320/7 + -1049. Find the common denominator of a and -59/4.
28
Let t(y) = -13*y**3 - 2*y**2 + 1. Suppose -7*v = -3*o - 2*v + 10, -o + 5*v - 10 = 0. Calculate the least common multiple of t(-1) and o.
60
Suppose -5*k + 4*k + 9 = 0. Calculate the smallest common multiple of k and 3.
9
Let l(r) = r**3 + 7*r**2 + 5*r - 5. Calculate the common denominator of l(-5) and 3/5.
5
Suppose 9767 + 4983 = -m. Let q = -5844 - m. Let c = q + -88937/10. Calculate the common denominator of c and -37/22.
110
Let x = 133 + -121. What is the least common multiple of x and 18?
36
Let a be 96/118*148/6. Let j = 53139/295 + a. Let f = j + -201. Find the common denominator of -46/7 and f.
35
Let a be ((-6)/9)/(1/(-3)). Suppose -g - 4 = -a*g. Suppose m = -g*m + 40. What is the least common multiple of 6 and m?
24
Let k = 19571/1350 + 2/675. Find the common denominator of k and 14/7 - (-77)/4.
4
Suppose -4*p + 8 = -8. Calculate the least common multiple of p and 6.
12
What is the smallest common multiple of 20 and 213/((-6)/(-2))*(-1 + 3)?
1420
Calculate the common denominator of (-1)/(26/9 + -4) and 69/10.
10
Suppose 60 = 2*r - 8. Suppose -5*s + 4*w = 8*w - r, -3*s + 3*w = -15. What is the common denomin