2).
20
Let t be (3/2)/((-21)/(-280)). Find the common denominator of 61/6 and 161/t - (9 + -7).
60
Calculate the common denominator of 131/24 and ((-6)/(-8))/(-4 - (-52)/8).
120
What is the common denominator of (-3)/(-6) + 50/760 and -79/12?
228
What is the lowest common multiple of (1/5*5)/((-1)/(-15)) and 33?
165
Let o = 285 + -102. Suppose -5*y + 38 = 5*z + o, -z - 3*y - 37 = 0. Calculate the lowest common multiple of (-60)/z + 2/(-5) and 20.
20
What is the common denominator of 37/12 and (-1350)/250*(-1 - (-26)/16)?
24
Let t = -30 - -45. Suppose 2*y - 29 = t. Find the common denominator of y and 0/2 + (-166)/(-8).
4
Let q(f) = f**2 + 8*f - 4. Suppose 4*t - c + 21 + 15 = 0, 5*t + 45 = c. What is the least common multiple of 2 and q(t)?
10
Suppose 2*d - 3*d = -2. Suppose 2 = -d*u - 3*c - c, 0 = -5*u - 5*c. Let y = 0 + u. What is the lowest common multiple of 1 and y?
1
Suppose 3*u - u = 22. What is the lowest common multiple of u and 9?
99
Let l = 57 - -15. Let i = 17 - 9. Calculate the smallest common multiple of i and ((-17)/34)/((-2)/l).
72
Let s = 1/505 + -12628/1515. Calculate the common denominator of s and -22/9.
9
Suppose -3*i - 3 = 3*a, 0 = -5*i + 7 - 27. Calculate the smallest common multiple of 5 and a.
15
Let f = -17823/10 - -1779. What is the common denominator of f and 47/15?
30
Let q(c) = -2*c - 6. Calculate the lowest common multiple of 2 and q(-8).
10
Suppose 2*b = 3*a - 24, -a + 7 = -3*b - 1. Let x = 2 + a. Calculate the lowest common multiple of 4 and x.
20
Let o(r) = r**3 + 22. What is the lowest common multiple of 6 and o(0)?
66
Let k be ((-36302)/30)/(6/(-5)). Let a = -1009 + k. Calculate the common denominator of (-4)/2 - (-137)/20 and a.
180
Let h = -13072 - -3464076/265. Let m = 7432/795 + h. What is the common denominator of m and 25/3?
3
Let t = 12407/1070 - -1/214. Find the common denominator of 3/4 + 668/112 and t.
35
Let t = -155/882 + 289/49. Find the common denominator of t and 178/(-12)*(-3)/(-5).
90
Suppose 3*l - 43 = -4*o, l + 36 = 3*o + 4*l. Suppose -o*w = -2*w - 90. Calculate the smallest common multiple of w and (-118)/(-6) + 2/6.
180
Suppose s = -0*s + 2. Suppose w - 4 = -w - s*f, 2*w + 4*f = 0. Let t(o) = -o - 2. Calculate the smallest common multiple of w and t(-11).
36
Let h = 14 - 9. Suppose -h*s - 60 = -8*s. What is the smallest common multiple of s and 12?
60
Let k = -303205/2 + 451009/3. Let u = k - -1283. Find the common denominator of u and 1/((-16)/(-66)) - 0.
24
Suppose -3 + 5 = -2*a. What is the lowest common multiple of -3 + 2 + (-8)/a and ((-16)/5)/((-8)/20)?
56
Suppose -d = 2*d. Suppose d = u - 5 - 3. Let x = 16 - u. Calculate the least common multiple of 10 and x.
40
Let k = 2 + 1. What is the least common multiple of 7 and 3*(-8)/(-36)*k?
14
Let f(z) = -z**3 - 8*z**2 + 7*z - 16. Calculate the least common multiple of 118 and f(-9).
118
Let j = -94907/6 - -15739. Let n = j - -130/3. Calculate the common denominator of -43/8 and n.
8
Let y be 3336/(-14769) + 2/9. Let z = y - 16949/2188. Find the common denominator of -69/4 and z.
4
Let k = 20455/858 + -144/143. Let p = -10 + 12. Find the common denominator of (-276)/16*p/7 and k.
42
Let b be 79750/(-239232) + (-2)/(-6). Let v be -3 - (17244685/(-358848))/5. Let k = v + b. Calculate the common denominator of -23/22 and k.
198
Let d be ((-152)/(-32))/(719/(-3558)). Let z = 4/719 + d. What is the common denominator of 117/14 and z?
14
Suppose 0 = -3*q - 1 - 2. Suppose 0 = -0*x - 3*x - 4*u + 23, -2*x - 23 = -5*u. Calculate the lowest common multiple of 18 and 18 + (q - 1)*x.
144
Let q = 4 - 8. Let l = q - -7. Suppose -5*w + 20 = -l*w. What is the lowest common multiple of w and 9?
90
Suppose 0 = 4*g - 7*g + 330. Find the common denominator of g*-2*(-1)/(-36) and -3*26/(-20)*-2.
45
Suppose -4*z - 3*i - 6 = -63, 85 = 5*z + i. Calculate the lowest common multiple of z and 66.
198
Find the common denominator of 2/6*4/((-100)/(-15)) and -47/10.
10
Let b(x) = -x**2 - 13*x - 16. Let a be b(-12). Let f be 2/a - (-4)/8. Suppose f = -2*j + 2, -2*c - j = -25. What is the lowest common multiple of 8 and c?
24
Suppose -2*b - 4*u = 2, -2*b + 3*u = b - 42. Let j(v) = v**3 - 6*v**2 + 8*v - 10. What is the lowest common multiple of b and j(5)?
45
Suppose 78 = -5*p + 3*o - 0, -26 = 2*p + 4*o. Let c = 25 + p. Calculate the least common multiple of c and 9.
90
Suppose 0 = -3*a + 4*h - 8428, 2*a - 2*h + 5628 = 3*h. Let i = -56057/20 - a. Calculate the common denominator of -9/20 and i.
20
Let x(j) = 2*j**2 - j**3 + 6 - 5*j + 2*j**2 + j**2. Suppose 33 = 4*m + 13. What is the lowest common multiple of m and x(4)?
10
Let b = 12 - 7. What is the smallest common multiple of b and 6?
30
Let l(s) = 604*s**2 + 2*s - 1. Let a be l(1). Let f = -422 + a. What is the lowest common multiple of f/9 + (-1)/3 and 14?
140
Suppose -3*d - 14 = -2*j, -2*j - 3*d - 2 = 2*d. Let l(v) = 2*v**2 - v - 19. What is the least common multiple of j and l(4)?
36
Suppose 0*g + 2*g = -2*u + 24, 0 = -4*g + u + 48. What is the least common multiple of g and 12?
12
Let i = 10 + -14. Find the common denominator of -115/6 and 5/((-100)/44)*i.
30
Suppose 4*s - 32 = -3*b, 2*b - 3 = -4*s + 3*s. Calculate the smallest common multiple of s and 11.
11
Calculate the least common multiple of 5 and (44/10)/((-28)/(-70)).
55
Suppose -10 = 2*f - 0*f. Let b(a) = a**2 + 5*a + 7. What is the smallest common multiple of b(f) and 1?
7
Suppose -2*i + 2*y + 17 = -21, -i = y - 21. What is the smallest common multiple of i and 16?
80
Suppose 4*f - 56 - 144 = 0. Let u be 1*(-5 + 2 - -7). Suppose -f = -g - u*g. What is the least common multiple of g and 6?
30
Suppose -3*l + 0*z - z = 6, -l - 4*z - 13 = 0. Let j = 5 - l. Calculate the lowest common multiple of 6 and j.
6
Let i(y) = y - 7. Let k be i(5). What is the smallest common multiple of (-68)/(-18) + k/(-9) and 10?
20
Suppose 2*b - 5 = k + 38, -3*b + 69 = 3*k. What is the lowest common multiple of 6 and b?
66
Let r = 4356 - 65251/15. Find the common denominator of r and -73/50.
150
Suppose 0 = 2*a - 1 - 3. Let d be 2 - (-7 + 0/a). Suppose -3*o + d + 27 = 0. Calculate the lowest common multiple of 12 and o.
12
Suppose -2*g = -3*z + 16877, g + 16882 = z + 2*z. Let j = -130255481/16 + 8135334. Let m = z + j. What is the common denominator of 17/18 and m?
144
Let s(x) = x + 13. Suppose -40 = 5*w + 5*v, -w - 5*v + 14 = -2*w. What is the least common multiple of 6 and s(w)?
12
Find the common denominator of (-36 - -1)*1/(-22) and (-742)/(-80) - 6/15.
88
Let f = 4361 + -26239/6. Let j = -119/25 + -309/350. Find the common denominator of f and j.
42
Let b(t) = 37*t**2 + 1. Let s be b(-1). Calculate the lowest common multiple of s/10 - 2/(-10) and (1 - 5/(-25))*5.
12
Let u = -1 + 1. Suppose -a - 2*a + 30 = u. Calculate the lowest common multiple of 16 and a.
80
Suppose -5*b + 4 + 16 = 0. Let a be 2 - (3*-1 + 1). Suppose 3*w + 7 = a*w. Calculate the smallest common multiple of w and b.
28
Let l = -33171 - -3051825/92. Calculate the common denominator of (-25)/120*6/4 and l.
368
Calculate the least common multiple of 2/8 - (-515)/20 and 2.
26
Let f = -51 + 55. What is the least common multiple of 4 and f?
4
Let p = 10345/3773 - 5/343. Find the common denominator of p and 17/7.
77
Let z be (-10)/60*16243/(-1671). Let b = 5/557 - z. Find the common denominator of 131/12 and b.
36
Suppose 0*u + 3*u = -18. Let g be (-444)/(-8)*(-8)/u. Find the common denominator of -4 - -3 - g/36 and -37/12.
36
Let o = 25/4 + -37/12. What is the common denominator of o and -3/7?
42
Let i(d) = 6*d + 2. Let l = 1 - -1. Suppose 6*o = l*o + 40. What is the least common multiple of i(3) and o?
20
Let r(b) = -4*b**3 - 1. Let g be r(1). Let x = 9 - g. Calculate the least common multiple of x and 16.
112
Suppose 0 = -5*j - 3*c + 41, 4*j - 52 = -0*j + 4*c. Let h be (36/j + -2)*5. Calculate the common denominator of 3*(-2)/h*13 and 3/10.
20
Suppose 0 = w - h + 69, -5*w + w + 2*h - 284 = 0. Let n = -51 - w. Let b = 4 + 6. What is the smallest common multiple of n and b?
110
Let n = -1 - 4. Let k = -6 + 9. Find the common denominator of -49/11 and (n/6)/(k/2).
99
Suppose 4*s = 16 - 0. Let l = s + -2. Calculate the smallest common multiple of 1 and l.
2
Let i = -1181/228 + -128/19. What is the common denom