539. Let b = y + z. Find the common denominator of b and -48.
11
Suppose a - 430 = -5*k + 4*a, 5*k - 430 = 4*a. Suppose 5*z + 7 = 2*r - 1, 4*z = -5*r + k. What is the least common multiple of r and 7/((1/2)/1)?
14
What is the common denominator of 103/12 and -2 + (4369/612 - (-4)/(-1))?
36
Suppose 77 = 4*h + 5*v, 0 = -3*h - v + 28 + 27. Let j = -28 + 40. What is the least common multiple of j and h?
36
Let u be 721600370/1599*(-102)/3984. Let q = u - 124/44239. Let f = 11544 + q. Find the common denominator of f and -127/6.
12
Let z = 284551/30228 + 8/2519. What is the common denominator of 52/9 and z?
36
Let t = -9067/3 + 398795/132. Let y = t + 2573/132. Calculate the common denominator of 21/4 and y.
12
Let u = -14310/7 + 2041. Calculate the common denominator of u and 1/3.
21
Let x = 18 + -11. Let f = -3 + 5. Suppose 3*j = j - 2*i + 30, -f*j + 5*i = 5. Calculate the smallest common multiple of j and x.
70
Find the common denominator of 69/(-10) + 8/(-20) and -1 + (-22)/16 + 1.
40
Let p be (0 - (-2 + 1))*-10. Find the common denominator of 13/2 and (111/p - -1) + 3.
10
Let s(c) = c**2 - 18*c - 5. What is the least common multiple of 1 - (-12 + 2 + -1) and s(19)?
84
What is the common denominator of (-57)/198 - 1/9*-3 and -179/90?
990
Let c(l) = -l - 3. Suppose 22 = 2*f - 7*f - m, m = 2*f + 6. Calculate the least common multiple of 1 and c(f).
1
Suppose -3*j + 0*v + 3 = 3*v, 2*j - v - 5 = 0. Let u be 4/j + 0 + 0. Suppose -5*l - u*q + 24 = 3, l = q. What is the smallest common multiple of l and 2?
6
Suppose -3*i + 15 = -15. Let m = -1 + i. What is the least common multiple of m and 11?
99
Let m(p) = -15*p. Let b be m(1). What is the least common multiple of 2 - (-4)/(-6)*b and 14?
84
Let b be 10/(-30) + 1262/6. Let l be (2/3)/(7/b). Calculate the common denominator of 57/14 and ((-372)/28)/(l/7).
140
Let n be -2 - ((-7113)/10 + 3). Let u = n - 708. What is the common denominator of u and 14/3?
30
Suppose 19*a + 33 = 22*a. What is the lowest common multiple of a and 27?
297
Let j = -1/5023 - 30023/577645. Let p be 969/(-1265) + (-1)/(-1). Let f = p + j. Calculate the common denominator of 1/3 and f.
33
Let w = -5 + 15. Let g = w + 9. Suppose -r + g = -4*z + 1, 0 = 2*r + z - 9. What is the smallest common multiple of r and 6?
6
Let j(o) = o**3 + 8*o**2 + 17*o + 1. Let p(m) = -2*m**2 - 4*m. Let k(s) = 2*j(s) + 9*p(s). What is the smallest common multiple of k(2) and 4?
12
Suppose -5*t - 4*l + 888 = -2*l, 0 = -2*t - 4*l + 368. Calculate the common denominator of t/(-6)*4/24 and 43/10.
90
Let b = 17 - -11. Calculate the least common multiple of 7 and (-1)/(-3) - b/(-6).
35
Suppose -q + u = -3*q, 0 = -4*q - 4*u. Suppose q*d = 5*d - 100. Calculate the smallest common multiple of 18 and d.
180
Suppose k + 8*t - 3*t - 26 = 0, -2*t = -6. Let b(p) = -p**3 + p**2 + p + 22. What is the lowest common multiple of b(0) and k?
22
Let l be 2 + -4*1235/2474. Let r = l + -72999/4948. Calculate the common denominator of -26/9 and r.
36
Let o be 0 - (7/(-1) + 2). Let f be (-1 + 6)*(-24)/o. Find the common denominator of 2*202/f - -1 and -19/11.
66
Let l = 8195 + -147467/18. What is the common denominator of (17 - 15) + (-49)/(-6) and l?
18
Let x(h) = h**3 - 3*h**2 - h + 4. Suppose -3*u - 9 = -5*r - u, 14 = 4*r - 5*u. What is the smallest common multiple of x(3) and r?
1
Let w be (-3184)/((-1)/(-3 + 4)). Calculate the common denominator of w/504 - 3/7 and 32/9.
9
Suppose -5*r + 2 = a - 1, -4*a = -3*r + 34. Find the common denominator of (-22)/a - (-8 - -7) and -44/9.
63
Let k = -2119 - -25489/12. Find the common denominator of k and (-218)/8*1/5.
60
Let l = 36288485 + -27942124387/770. Let b = l - -10/77. What is the common denominator of b and 0 + 0 + 158/16?
40
Find the common denominator of (-114)/28 - 4/14 and 103/18.
126
Suppose -3*l + l + 32 = 0. Let h(v) = -v**3 + 7*v**2 + v - 7. Let i be h(7). Let o(n) = n + 20. What is the smallest common multiple of o(i) and l?
80
Let l = -76 + 88. Calculate the least common multiple of 12 and l.
12
Let v be 4/2 - (0 + 1). Calculate the smallest common multiple of 2 and (8/6)/(v/3).
4
Suppose 26 = -3*t - 10. What is the common denominator of 51/5 and (-238)/t + (0 - -2)?
30
Let o = -23 - -22. Find the common denominator of (-4)/10 + (-628)/30 and o - -4 - 88/28.
21
Let a be 30 - (1 + 1) - 2. Let z = a - 22. Let r(p) = p**3 - 5*p**2 + 4*p + 3. Calculate the lowest common multiple of r(4) and z.
12
Let i(c) = c**3 + 11*c**2 + c + 9. Let u be i(-11). Calculate the smallest common multiple of 18 and u/3*(4 + -19).
90
Let i = 675011/59124 - 1/4927. Calculate the common denominator of -17/88 and i.
264
Let p = -7 + 9. Let d be (-1)/(-1)*0 + 4. Suppose 3*x = 2*x - 5, d*y - 93 = x. What is the smallest common multiple of p and y?
22
Let o = -153 - -312. Find the common denominator of o/15 - (2 + 0) and -45/2.
10
Let a be -1 + (-5)/((-15)/9). Suppose -2*f = -2*c - 14, 2*c - 29 = -4*f + 5*c. What is the least common multiple of f and (-21)/(-2) - (-1)/a?
88
Let c = 1/99 + -3569/495. Calculate the common denominator of c and 15/7.
35
Let n be 561508/280 + 2/(-7). Let b = -2008 + n. Calculate the common denominator of (-3)/(-2)*(-44)/12 and b.
10
Find the common denominator of (-29)/4*(-6)/(-16)*-2 and -77/2.
16
Let i(q) = -2*q**2 + 9*q + 7. Let x(c) = c + 9. Calculate the least common multiple of i(5) and x(-8).
2
Let f = 1141308309 - 5898281322497/5168. Let t = 1/1292 - f. Find the common denominator of 1/4 and t.
16
Let c = 489/4 + -146. Find the common denominator of 49/8 and c.
8
Let v(a) = a + 2*a**2 - a**3 - 2*a**2 + 14 + a**2. Suppose 2*g + g = 30. Calculate the lowest common multiple of g and v(0).
70
Let z be 2/(-10) - (-1971633)/(-210). Let u = 9381 + z. Let g = -28/435 + -2621/580. Calculate the common denominator of g and u.
84
Let j be 41295/(-20652) + (3 - 1). Let a = j + 333865/20652. Find the common denominator of 7/20 and a.
60
Let v = -3970/11 - -362. Find the common denominator of v and 63/8.
88
What is the least common multiple of -4 - -10*(5 + -4) and 8?
24
Calculate the common denominator of (-2)/3*(-1110)/(-320) and 5/2.
16
Let v = 377327/44 + -8576. Find the common denominator of v and 13/24.
264
Let b(r) = -2*r. Let l(a) = a - 2. Let n be l(13). Let d = -5 + n. Calculate the smallest common multiple of b(-5) and d.
30
Let h = 7 - 11. Let f = h - -2. What is the common denominator of 2 and 2*(6/(-8) + f)?
2
Let k = 37791/8 - 4717. Calculate the common denominator of k and 99/2.
8
Let k = -2602 + 795. Let m = k + 8976/5. What is the common denominator of m and -47/4?
20
Let l = -4 + 8. Suppose -9 = -5*m - 3*i, 5*m - l*i - 36 + 13 = 0. Suppose m*k - k - 24 = 0. What is the lowest common multiple of k and 22?
132
Let v be 1*(72/2)/1. Calculate the common denominator of -123/20 and 2 + (130/v)/1.
180
Suppose -131*j + 135*j - 44 = 0. What is the lowest common multiple of j and 48?
528
Let y = 23 - 15. Calculate the lowest common multiple of y and 14.
56
What is the common denominator of -93/20 and (-3)/2*319/33?
20
What is the common denominator of 37/2 and (59/18)/((-2)/6)?
6
Let m(n) = 3*n - 3. Let h be (-1 - -5) + (0 - 0). Calculate the least common multiple of m(h) and 11.
99
Suppose -4*h + 1 = -3*l, -5*l = -5*h + 4*h + 30. What is the common denominator of -101/4 and 3 + ((-567)/60)/l?
20
Let c = 60997/12 - 5079. Let m = -9724 - -136043/14. Find the common denominator of c and m.
84
Let r(p) = -10*p + 37. What is the least common multiple of r(-15) and 1?
187
Let i(j) = 6*j**2 + 2*j + 2. Calculate the smallest common multiple of 18 and i(-2).
198
Let f = -7 - -11. What is the lowest common multiple of 12 and f?
12
Let g(o) = o**3 - 8*o**2 - 10*o + 11. Let a be g(9). Let p be -3 - (a/(-1) + -1). Find the common denominator of -47/10 and p + -2 - (-41)/(-6).
30
Let c = -2368 + 30799/13. Let y = c + -121/26. Calculate the common denominator of -17/8 and y.
8
Calculate the common denominator of (-153)/36*(-2)/7 and -99/14.
14
Suppose 4*d + 16 + 0 = -4*i, 10 = -3*d - 4*i. Calculate the common denominator of 158/(-16) - (-3)/d and -41/6.
24
Suppose 3*p - f = 2*f + 18, 5*f + 24 = -p. What is the lowest common multiple of p and 3?
3
Let i = 24 + -18. What is the lowest common multiple of i and 52?
156
Let p be 0