 What is the common denominator of -37/16 and 429/26 - (-3 + q)?
16
Suppose n - 13 = 1. Suppose z + 3*z = -2*l - 34, -2*l = -2*z - 26. Let d = n + z. What is the least common multiple of d and 3?
12
Let f = -10171/1290 + 200/43. Find the common denominator of f and -137/24.
120
Let d(b) = -6*b - 29. Let r(c) = -3*c - 2. Calculate the smallest common multiple of r(-2) and d(-5).
4
Suppose 4*y = -y + 35. Suppose -10*v = -4*v - 30. What is the least common multiple of v and y?
35
Let l = 1288 - 3832/3. Let i = -97/9 + l. What is the common denominator of -67/8 and i?
72
Let a = 1 + 3. Suppose a = -4*c + 20. Let i = -1 + 9. Calculate the least common multiple of c and i.
8
Let y be 17240/494 - 2 - 1. Let l = y + -666/19. Let w = l - -359/52. What is the common denominator of -85/6 and w?
12
Suppose 6*u + 10 = 8*u. Calculate the least common multiple of 10 and u.
10
What is the common denominator of (-4)/(-6) - 50/24 and ((-26)/24 - -1)*(-1066)/39?
36
Suppose -2*c = -2*u + 440, -4*u - 107 = -2*c - 547. Calculate the common denominator of -79/8 and 0 + 0 - c/72.
72
What is the least common multiple of (-4 + 22/6)*-12 and 7?
28
Suppose 4*t - 3 = 5. Suppose 0*p - 4*a = -4*p + 64, -t*p + a + 36 = 0. Let s = 500 - 492. Calculate the smallest common multiple of s and p.
40
Let t = 10193/4 + -2526. What is the common denominator of t and 0 + 26*6/40?
20
Suppose -5*t + 3 = -3*x - 33, -5*x = 3*t - 8. Let z = t + 48. Suppose y = -2*y + z. Calculate the lowest common multiple of 2 and y.
18
Suppose -2*q - 2 - 1 = -b, q + 2 = b. Let z be (-2319)/((-1)/4 + b). Let t = 61881/20 + z. Calculate the common denominator of t and 33/8.
40
Let q be ((-9)/(-3))/(1/3). Let w = 0 - q. What is the common denominator of ((-11)/(-4))/(w/(-4)) and 149/6?
18
Suppose 2*q + 79 = 6*q - 5*u, 3*u = -9. Find the common denominator of 74/(-4)*(-2)/q and 55/18.
144
Suppose 1673572 = -3*n + 538657. Let h = n - -23453911/62. Let p = h - 12/31. What is the common denominator of p and -53/11?
22
What is the common denominator of ((-18)/(-27))/((-34)/93) and 19/4?
68
Suppose -4*u - 3*w + 4*w + 69 = 0, 3*u + 2*w = 60. Let i = -14 - -6. Find the common denominator of i/6*162/84 and u.
7
Suppose 4*s = s - 15. Let c(x) = 29*x**2 - 5. Let k be c(s). Let t = k + -12965/18. What is the common denominator of t and 59/20?
180
Let v = -50 + 64. Calculate the least common multiple of v and 1.
14
Let v be (3391/8)/((-765)/580). Let j = 5400/17 + v. Find the common denominator of j and 27/(-18) - (-49)/(-5).
90
Let o be (132/9)/((-4)/54). Let f(g) = -g**2 - 11*g + 8. Let p be f(-7). What is the common denominator of 2 and (-64)/o - (-8)/p?
11
Let h(r) = r**2 + 3*r - 4. Let j be h(-5). Let f = -62903/20 - -3147. Calculate the common denominator of (2/j)/((-4)/6) and f.
20
Let x = -3044/51 + 618/17. Calculate the common denominator of x and 226/12 - (3 + 2).
6
Suppose -4*k = -11 + 3. Suppose 5*m = k*m + 6. Suppose m*q - 42 = -4*o - 0*o, 3*o - 27 = -3*q. Calculate the least common multiple of o and 16.
48
Let w be 1/3*(-18182)/3. Let r = -732581/360 - w. Let i = -111/10 - r. What is the common denominator of -12/5 and i?
40
Let w(v) = v - 1. Let r(t) = -t**2 + 2*t**2 + 2 + 4*t - 2*t**2. What is the smallest common multiple of w(5) and r(4)?
4
Let t = -7394/7 + 1051. What is the common denominator of -103/6 and t?
42
Suppose -4*t = -0*x + 3*x - 72, -2*t = x - 36. Suppose -20*u - 18 = -23*u. What is the least common multiple of u and t?
18
Let v = -80942/15 + 5401. Find the common denominator of v and -109/42.
210
Suppose -3*x + 4 = 4*l - 6, 4*x = -5*l + 13. Calculate the lowest common multiple of l and 9.
9
Let h(u) = -u**3 + 7*u**2 - 6*u + 3. Let y be h(6). Suppose -y*g + n = -23, -n - 6 = 2*n. What is the smallest common multiple of g and 10?
70
Let g = -7 - -15. What is the lowest common multiple of g and 6/(-8) + (-59)/(-4)?
56
Let y(x) = -6*x - 6. Let w be y(-8). Suppose 9 = 3*s - 6*s, 5*q - 2*s - 51 = 0. Calculate the smallest common multiple of w/4 + (-3)/6 and q.
90
Let p = 21734503/50 - 434662. Let s = p - 474/25. Find the common denominator of 7/6 and s.
30
Suppose 3*k - 6 = 2*k. What is the least common multiple of k and 11?
66
Let m(r) = r + 7. Let v be m(5). Suppose -v = a - 4*a - 5*o, a = -o + 6. Calculate the lowest common multiple of 8 and a.
72
Let y = -46397360349997/10344 + 4485437006. Let f = 2/1293 + y. Find the common denominator of -11/6 and f.
24
Let o be (-3)/15 + 102/10. Let j = 20 - o. Let d = 106 + -98. What is the smallest common multiple of d and j?
40
Let p = 16765 + -268331/16. Calculate the common denominator of 43/30 and p.
240
Suppose -s - 3 = -2*p, -s - 2 = p + 2*s. Let q = -7 - -7. Suppose -2*a + 14 + 6 = q. Calculate the least common multiple of p and a.
10
Let u = 2/265 + -20951/2120. Find the common denominator of 45/22 and u.
88
Let l = 7 - 6. What is the smallest common multiple of l and 4?
4
Let l = 166 - 146. What is the lowest common multiple of l and (-4)/6*(-2 - 1)?
20
Let v = 0 - 0. What is the least common multiple of (v - 2/(-2))*10 and 8?
40
Let s(j) be the third derivative of -j**5/60 - j**4/8 + j**3/6 - j**2. What is the lowest common multiple of (-25)/10*(-8)/10 and s(-3)?
2
Let g be 51/(-2)*10/(-15). Suppose 0 = -5*m + 13 + g. Calculate the lowest common multiple of 8 and m.
24
What is the least common multiple of (-306)/(-30) + 3/(-15) and 22?
110
Suppose 0 = -2*a - 8 - 0. What is the common denominator of 286/1*a/(-48) and ((-1449)/12)/(-7) + -1?
12
Let s = 216 + -98. Find the common denominator of -42 and s*1*14/56.
2
Suppose -3 = -4*w + 9. Calculate the least common multiple of 6 and w.
6
Suppose -4*p - n + 11 = -4*n, 2*p - 3*n = 7. Suppose -3*t - 3*m + 58 = t, 4*t - 74 = 5*m. Let a = t - p. Calculate the least common multiple of a and 14.
14
Let u = 300/271 - -652781/542. Let k = u + -1287. Let i = k + 915/11. Find the common denominator of 71/8 and i.
88
Let q(k) = -k**2 - 3*k + 2. Let t be q(3). Let s = -8 - t. Calculate the least common multiple of s and -4 + (-4 - -18) + -2.
8
Find the common denominator of 7 - 5 - (-162)/(-20) and -18/7.
70
Let t(l) = -2*l - 6. Let q be t(-4). Suppose 14*w = 11*w - 12. What is the least common multiple of 2 and (w + q)*-4 + 0?
8
Let j = -48 + 54. Let g be 0 + -1 + 2/1. What is the lowest common multiple of j and 78/4 + g/2?
60
Suppose 152 = -6*t + 10*t. Calculate the smallest common multiple of 2 and t.
38
Suppose 0 = h - 2*h + 6. Let v(z) = z**2 + 6*z + 8. Suppose 0 = s + y - 5*y - 6, 5*s = 2*y - 24. Calculate the smallest common multiple of h and v(s).
24
Suppose 264 = 5*g + 214. What is the lowest common multiple of 75 and g?
150
Let m(i) = i + 3. Let w be 7 - (2 - (-2 - -2)). Calculate the lowest common multiple of m(w) and (-50)/4*12/(-15).
40
Let n = 25 - 14. What is the lowest common multiple of 5 and n?
55
Let y(t) = t**2 + 2*t - 3. Let r(x) = -x**3 - x**2 + 2*x + 2. Calculate the smallest common multiple of r(-3) and y(3).
84
Let c(g) = -2*g**3 + g**2 + g. Let j = -8 - -3. Let z(h) = -h**2 - 6*h - 7. Let n be z(j). What is the smallest common multiple of 10 and c(n)?
90
Let o = 6282 - 50171/8. What is the common denominator of o and (83*1/4)/1?
8
Let n = -119 - -188. Calculate the common denominator of (-15)/27*n/2 and 4/14 - 387/105.
30
Let b(v) = 3*v - 7. Let h be 7 - (-3 + 3) - 2. What is the least common multiple of b(h) and 7?
56
Let u = -829/240 + -7/48. Let k = -14 - -10. Find the common denominator of u and (k/12)/((-2)/14).
15
What is the least common multiple of (4 + 2)*(-1 + 2) and 4?
12
Let v(y) = 2*y**3 - 7*y**2 - 7. Calculate the smallest common multiple of 33 and v(4).
99
Let q = 24 - 19. What is the smallest common multiple of q and 10?
10
Calculate the lowest common multiple of 19 and 1 + -21*1/(-3).
152
Suppose 0 = -3*c + 63. Suppose c = 4*x - 23. Suppose 8 = 2*i + 2*f - 4, 3*i - 48 = 3*f. Calculate the lowest common multiple of i and x.
11
Let z = -14552731/210078 - -5/19098. Let k = -2701/22 - z. Let g = k - -673/14. Find the common denominator of g and -11/9.
63
Calculate the common denominator of 91/40 and -10 + 6 - -1*158/56.
280
Suppose -k + 44 = 5*o, 0*o - 40 = -k - 4*o. Let n = k - 8. Let q(v) = 8*v. What is the lowest common multiple of q(1) and n?
16
Let j be 323486/5