
48
What is the least common multiple of ((-85)/(-34))/((-2)/(-16)) and 12?
60
Suppose -i = -4*r + 2, 2*i + i + r = -6. What is the common denominator of 3/2 - 376/40 and ((-2)/33)/(i/102)?
110
Suppose -2*n = -3*a + 3, -3*a + 1 = -4*n - 2. What is the smallest common multiple of 2 and a/4 - 261/(-12)?
22
Suppose 0 = b - 101 + 83. Calculate the least common multiple of b and 14.
126
Let w = -1723747/360 - -43120/9. Find the common denominator of -81/16 and w.
80
Suppose 4*m - 214 + 70 = 0. Let l = m + -24. What is the smallest common multiple of l and 1?
12
Suppose n - 5632 = -2*t, 2*n = -t + 2*t - 2816. Let s = 19766/7 - t. Let x = 12043/6 - 2019. What is the common denominator of s and x?
42
Let m = -3503 - -31558/9. Calculate the common denominator of -48/7 and m.
63
Let x = 73243/22 + -3330. What is the common denominator of x and -15/2?
22
Suppose 3*p = 5*l - 4, -3*p + 2*l - 2 = -2*l. Suppose 0*w + 22 = 2*w. What is the smallest common multiple of p and w?
22
Let n = -1557 - -9469/6. Find the common denominator of n and 1/10.
30
Calculate the common denominator of -49/10 and 23*6*2/(-40).
10
Let w = 31 + -29. Let f(u) = u**2 - 2*u + 2. What is the smallest common multiple of f(4) and w?
10
Let d be (-164607)/12 - 2/(-8). Let o = d - -219375/16. What is the common denominator of -47/14 and o?
112
Let r(g) = g**2 - 6*g + 2. Let f be r(6). Suppose 0 = -2*o + f*v - 12, 0 = -o + 6*v - 4*v - 6. Calculate the common denominator of 83/2 and o - (9/12)/(-3).
4
Let t = -11675/4 + 2901. Calculate the common denominator of -50/9 and t.
36
Suppose -3*b + 6*b = 2*r - 6, 3*b - 39 = -3*r. Find the common denominator of (-36)/(-70) + (-2)/(-7) and 164/r - (-8)/72.
15
Let d(k) = 2*k + 36. What is the least common multiple of 70 and d(-13)?
70
Calculate the common denominator of 5*51/(-24) + 3 and -97/16.
16
Let f = -661/258 + 17/43. Calculate the common denominator of f and -57/14.
42
Let r = -11361 - -374867/33. Find the common denominator of 59/12 and r.
132
Let n(t) = -2*t**2 - 10*t. Let z(j) = j**2 + j. Let u(m) = n(m) + 3*z(m). Suppose 5*o = 50 - 10. Calculate the smallest common multiple of 10 and u(o).
40
Let l = -24 - -37. Suppose -6 = -5*c + 29. What is the smallest common multiple of l and c?
91
Let v = -23934/595 - -695/17. Let o = v - -3443/140. Calculate the common denominator of o and 56/5.
20
Let j(d) = -d. Calculate the lowest common multiple of 12 and j(-4).
12
Let f be 3*5*8/(-10). What is the common denominator of -1/3 and (101/f)/(1/(-2))?
6
Let q = -67/2 + 141/4. Let r = 14 - 0. What is the common denominator of q and 161/(-21)*(-3)/r?
28
Let h(m) = m**2 + 3*m + 7. Let x = -22 - -18. Calculate the lowest common multiple of 7 and h(x).
77
Let f = -638 - -5710/9. Let i = -9913/7 - -1422. Calculate the common denominator of f and i.
63
Let o be (34/(-12))/(2/(-586)). Suppose 10*u - 5*u + 4160 = 0. Let g = o + u. Find the common denominator of -119/20 and g.
60
Let k be (1/5 - -1)*35. Suppose 0 = 4*j - k + 2. Suppose -4 = z - 5. Calculate the least common multiple of z and j.
10
Let k(i) = 5*i**2 + 5*i + 2. Let z(x) = 14*x**2 + 14*x + 5. Let j(a) = -11*k(a) + 4*z(a). Calculate the lowest common multiple of 8 and j(-4).
40
Suppose -3*w + 70 = -s - 3*s, -2*w = 5*s - 16. Suppose 0 = 2*y + 6 - 18. What is the least common multiple of y and w?
18
Suppose -33 = -3*a + 6*a. Let r = a + 14. What is the least common multiple of 11 and r?
33
Find the common denominator of (1*-2)/((-27)/6) and (-127)/(-15) + 4/12.
45
Let t = 8 - 3. Calculate the least common multiple of t and 5 + 126/(-24) - 39/(-12).
15
Let i(g) = -g - 11. Let h be i(-8). What is the least common multiple of 22 and ((-30)/25)/(h/20)?
88
Let o be (-374179)/22 + (-4)/(-2). Let p = o - -17003. Find the common denominator of -29/6 and p.
66
Suppose 0 = 20*z - 22*z + 104. Find the common denominator of z/5*(-45)/81 and -55/4.
36
Let s(t) = t**2 + t + 2. Let z be (-22)/(-10) - (-1)/(-5). Suppose z*l - 14 = -0*l. Calculate the lowest common multiple of s(-3) and l.
56
Suppose -11 + 4 = -x. What is the least common multiple of x and 10?
70
Let j(l) = -l. Suppose -3*c + 4 = -2*c. Calculate the least common multiple of c and j(-8).
8
Suppose -a - 8 = -5*a. Suppose 5*d = -v + 21, a*d - 6*d + 12 = 2*v. What is the lowest common multiple of 1 and d?
5
Suppose -4*c - 3862 = 3*v, -1362 = 3*v - 3*c + 2493. Let d = 5097/4 + v. What is the common denominator of d and 87/16?
16
Let u = 34 + -18. Calculate the lowest common multiple of 30/4*u/10 and 8.
24
Let o(d) = -4*d**2 + 3 - 1 + 3*d**2. Let b be o(-2). Calculate the common denominator of -2 - (b + 88/18) and 59/8.
72
Let g be 64/20*(0 + 5). Suppose -5*p + 116 = g. Calculate the lowest common multiple of p and 16.
80
Let r(m) = -m**3 + m. Let v be r(-1). Let n = 16 - v. Let t = -5 - -21. Calculate the least common multiple of t and n.
16
Suppose 5*g + 3 + 8 = 3*d, 3*g = -3*d + 3. Calculate the smallest common multiple of 6 and d.
6
Let r = 19433/1376 - 700/43. What is the common denominator of 59/22 and r?
352
Suppose 2*s = 3*b + 5, b + b - 2 = 0. Let v = 7 - s. What is the least common multiple of v and 1?
3
Suppose 2*c + 2 = 3*y, -y + 2*y - 4 = -c. Suppose -8 = -c*d - 0. What is the least common multiple of 10 and d?
20
Suppose 0*b - 3*b + 12 = 0. Suppose 5*c - c - 56 = 0. What is the lowest common multiple of b and c?
28
Let j be 0 + 3 + 15/1. Find the common denominator of (-3)/j*(-130)/(-3) and (146/(-9))/(2 - 0).
9
Calculate the common denominator of -85/16 and 9/(-3*2/9).
16
Suppose -5*k = -3*t + 31, 3*k + 2 = 5*t - 23. Let o(g) be the first derivative of 3*g**2 - 2*g - 3. What is the smallest common multiple of o(t) and 18?
90
Let p = 12272 - 270065/22. Find the common denominator of 4/(-10) - (-2959)/(-440) and p.
88
Suppose 16 = 3*m - m. Suppose -6*b + 4*b + 6 = 0. Calculate the smallest common multiple of b and m.
24
Let d = -5567/5 + 1118. Let c = -7151/3 - -2361. Calculate the common denominator of c and d.
15
Calculate the common denominator of -2 + 0 + (-252)/(-40) and 2/7.
70
Let g = 1 - 3. Let n be -2*g*(-1)/(-2). Suppose -n*f = 4 - 22. What is the smallest common multiple of f and 5?
45
Let r be -2 + ((-2)/1 - -2). Let j = -3 + 8. Calculate the smallest common multiple of (r - -2) + 0 - -2 and j.
10
Let c(k) be the third derivative of k**5/60 + k**4/12 - 7*k**3/6 - k**2. Let h = 3 + -8. What is the smallest common multiple of c(h) and 4?
8
Let r(i) = i + 3. Let z be r(3). Calculate the common denominator of 26/z*14/(-4) and -41/2.
6
Let v be 11/(4/(-4)*-1). Suppose 5*w = 2*c - 10 - v, w + 1 = 0. Calculate the smallest common multiple of c and 5.
40
Suppose 5*t = 0, -t + 3*t = 4*x - 40. Calculate the common denominator of -38/11 and 570/(-36)*8/x.
33
Suppose -4*v - 48 = 4*u - 0*u, 2*v = u. What is the common denominator of (-387)/(-24)*u/(-18) and 121/6?
6
Let z = 2843562/11 - 258306. Let c = -26869/132 + z. Find the common denominator of 158/(-20)*10/4 and c.
12
Suppose 0*m + 5*m = 70. Let f = -202 - -204. What is the smallest common multiple of m and f?
14
Calculate the lowest common multiple of (-4 - -7 - 5) + 20 and 15.
90
Suppose -4*t - c = -6*c - 14, 0 = -t - 2*c + 10. Calculate the least common multiple of 4 and t.
12
Suppose -5*l = -4*s + 16, 4*l + 20 = -5*s + s. Calculate the common denominator of ((-156)/30)/(24/110) and 26/(s/(10/12)).
6
Let y be 10 + (2 - 0) + -5. Let p = y - 11. Calculate the least common multiple of p/6*(-3)/1 and 7.
14
Let m(r) = -r. Suppose 52 - 12 = 5*k. What is the lowest common multiple of m(-1) and k?
8
Let k = 1 + 0. Suppose -k = -j - 0*j. Let d(a) = 4*a. What is the least common multiple of d(j) and 2?
4
Suppose 3*v - 3*g = 274 - 43, 2*v = -3*g + 139. What is the lowest common multiple of 18 and v?
666
What is the common denominator of 7/2 and 1/5 + 6919/(-1320)?
24
Calculate the least common multiple of 15 and (-18)/(-4)*20/3.
30
Suppose y - 4*y = 3*p - 36, 0 = p + 4. Calculate the lowest common multiple of y and 58.
464
Let b(m) = m**2 - 2*m + 0*m + 3*m + 2. Let x be b(-2). Suppose -42 = -x*q + q. Calculate the smallest common multiple of 12 and q.
84
Let u = -287/155 + -3/62. Let l = -13166/1565 - -4/313. Find the common denominator of l and u.
10
Let i = -4 - -1. Let k = -1 - i. What i