9289/18. Calculate the common denominator of k and -23/24.
72
Suppose -u + 34 = 3*i, 0 = 3*i - 2*u + 4*u - 38. Let o(k) = -k**3 + 12*k**2 - 19*k - 1. Calculate the smallest common multiple of o(i) and 15.
45
Let b be ((-17)/(-68))/((20/(-1386))/(-2)). Let a = 182/5 - b. Find the common denominator of 70/(-8) - 0/2 and a.
4
Let w(n) = 22*n**2 - 61*n + 6. What is the lowest common multiple of 300 and w(3)?
2100
Suppose 0 = 5*r - 15 - 0. What is the least common multiple of r and 10?
30
Suppose -7*z - 2*z + 130734 = 0. Let c be 0 + (-813294)/(-56) + 0. Let q = z - c. What is the common denominator of 103/22 and q?
308
Let h(i) = -i**2 - 2*i. Let p be h(-12). What is the common denominator of ((-1)/4)/(2/276) and (-4)/10 - (-412)/p?
6
Let w = 15 + -13. Suppose -w*v = v - 3. Find the common denominator of 75/16 and 334/28 - (v + 3).
112
Let r = -3564536221/6 + 592783518. Let l = 1302464 + r. Let f = l - -3368. What is the common denominator of -91/20 and f?
60
Let j = 40354 - 2259937/56. Find the common denominator of j and 85/56.
56
Let m(j) = -j**2 - 4*j. Let w be m(-4). Suppose -5*s + w*s - 180 = 0. Find the common denominator of (-190)/48 + s/(-27) and 83/22.
88
Calculate the least common multiple of (6/(-18))/(1/(-324)) and 216.
216
Let r = -25 - -39. Let p be 44/3*21/r. Suppose 0 = 7*w + p - 92. What is the least common multiple of 4 and w?
20
Let u(p) = -3*p - 4. Let i be u(-3). Suppose -4 = -3*k + i*x, 3*x = -2*k + x - 24. Let m = 13 + k. Calculate the lowest common multiple of m and 22.
66
Let p = -20651/5 - -4147. Let l = -19 + p. Find the common denominator of 54/13 and l.
65
Let h = 13/6 + -4897/2310. What is the common denominator of 72/35 and h?
385
Let c = 5 + -7. Calculate the common denominator of -1*(c/24)/((-2)/171) and 89/4.
8
Let g = -603 - -732. Calculate the lowest common multiple of g and 10.
1290
Find the common denominator of ((-17)/12)/(2 + 112/(-63)) and -19/12.
24
Find the common denominator of -95/16 and 6/(-40)*4*(-145)/4.
16
Let s = 24613/3108 + -550/111. Calculate the common denominator of -89/4 and s.
28
Let g(w) = -w**2 - 5*w + 30. Calculate the lowest common multiple of 75 and g(0).
150
Let t(c) = -3*c**3 + 20*c**2 + 6*c + 4. What is the least common multiple of t(6) and 6?
336
Suppose -5*h + 30 = 10*h. Calculate the least common multiple of 89/13 + h/13 and 204.
1428
Let h be -1*(-548)/104*-12. Let s = -13789/208 - h. Find the common denominator of s and 1*3 - 4/(192/580).
48
Let j be (2/(-3))/(28/(-126)). What is the lowest common multiple of (0 - -16)*(j - (-9)/(-6)) and 21?
168
Let u(j) = 10*j + 2. Let p be u(-3). Let c = 54 + -62. Calculate the lowest common multiple of c/p + (-47)/(-7) and 9.
63
Suppose -d = -8 + 10. Suppose -2*a = 2*c - 30, 3*a - c = -22 + 67. Calculate the lowest common multiple of 1*(1 - (d - -1)) and a.
30
Calculate the common denominator of 255/18 - (-4 - 0) and 166/(-6)*((-14)/(-8) + -1).
12
What is the common denominator of 124/3630 - 42/315 and -7/165?
1815
Let m = -862 + 38791/45. Find the common denominator of m and 82/63.
315
Suppose -5*v + t - 307 = 0, 2*v = -0*v - t - 120. Calculate the common denominator of (-16)/120 - v/120 and 7/36.
72
What is the common denominator of -2*(-1)/(-12)*(-360)/(-64) and -97/32?
32
Let c = 14 + -13. Suppose -5*h + 50 = -4*h. Suppose i = 6*i - h. What is the least common multiple of i and c?
10
Suppose 0 = 359*t - 294*t - 910. Suppose -5*k - 4 = -0*r + r, -80 = -4*r + 4*k. Calculate the smallest common multiple of t and r.
112
Let w(y) = -y + 2 - 2 + 11. Suppose 0 = 3*a + c - 3*c - 27, 30 = 3*a - 3*c. Calculate the smallest common multiple of w(a) and 4.
4
Let j be (2 + -1)/(-1 - -2). What is the common denominator of (2 + -5 - -2)*172/(-44) and -15*j*(-8)/66?
11
Let s = -1199168 + 7218175/6. Let i = s - 3838. Let n = 371489/110 + -16862/5. Find the common denominator of n and i.
66
Let j(s) = 9*s + 63. What is the lowest common multiple of ((-40)/(-24))/(2/18) and j(-6)?
45
Let y(b) = -b**3 - 10*b**2 - 2*b. Let r = 24 + -34. What is the smallest common multiple of y(r) and 14?
140
Let q(w) = w**2 - 6*w - 2. Suppose -3*y + 3*d - 4 = -34, 3*d = 4*y - 42. Calculate the smallest common multiple of q(10) and y.
228
Let p(j) = -5*j**2 + 6*j - 2. Let q be p(2). Suppose -c = 2 - 3, 0 = -2*b + 3*c + 7. Calculate the least common multiple of b and (8/q)/((-24)/180).
30
Let q = 207255 - 74611621/360. Calculate the common denominator of q and -7/80.
720
Suppose x = -1 + 8. Let m = x + -13. Find the common denominator of 31/16 and 1806/660 + m/10.
176
Suppose r - 5*f = 24, 66 = 4*r + 2*f + 14. Suppose 3*s - 51 - 9 = -4*m, 2*s + 4*m - 40 = 0. Calculate the lowest common multiple of s and r.
140
Let q = 12 - 4. Let l(i) = 0*i**2 + 0*i**2 - i**2 - 2 - 5*i. What is the least common multiple of q and l(-4)?
8
What is the common denominator of -5 + (-4 - (-14371)/1638) and -49/117?
234
Suppose 0*a = 3*o - a - 13, -2*o - 5*a - 14 = 0. What is the smallest common multiple of o and (3/(-9) - 0)*-3?
3
Suppose 3440 = 5*n - 840. Suppose 0*v - n = 2*v - 3*w, -2*v + 5*w - 856 = 0. What is the common denominator of v/(-40) + -1 + -3 and 91/10?
10
Let y(i) = 2*i**3 - 37*i**2 + 18*i + 18. What is the lowest common multiple of y(18) and 138?
414
Calculate the lowest common multiple of (-26624)/(-494) + ((-17)/19 - -1) and 30.
270
Let v(l) = 76*l**2 + 30*l + 56. Let s be v(-18). Let b = 1110339/46 - s. What is the common denominator of -31/10 and b?
230
Let k(z) = -z - 1. Let c be k(-1). Let i(u) = -u**2 + u + 4. Suppose -n + 3*n - 16 = 0. What is the smallest common multiple of n and i(c)?
8
Let p be (25/(-24735))/((-1)/3). Let q = p + -206245/39576. Calculate the common denominator of -87/14 and q.
168
Suppose 12*n - 479 = 145. What is the smallest common multiple of 8 and n?
104
Suppose 5*t + 4*m = 3*t + 24, 0 = -2*t + 4*m + 8. What is the common denominator of (2/(-18))/((-4)/(-498)) and 6/45*-213*1/t?
60
Let p = -4/12383 + 1869977/445788. Find the common denominator of 13/136 and p.
1224
Let w be (-2 + 11)*1*2570/(-24). Let b = w - -957. What is the common denominator of -69/8 and b?
8
What is the common denominator of 70/111 and 1*(21/(-28))/((-9)/56)?
111
Suppose -5*n - 2*y = -23, 5*n - 2*y = -5*y + 22. Suppose -3*p = -n*p + 16. What is the lowest common multiple of p and 7?
56
Suppose 2*c + 3*d + 70 = 0, 0 = c + 4*d + 23 + 7. What is the common denominator of 1/(c/(-17) + 2/(-1)) and -17/14?
28
Let v be (10/(-6))/(7/(-231)). What is the common denominator of 14/61 and (-1 - 14/(-8))/(5/v)?
244
Suppose 4650 = -19*u + 50*u. Calculate the lowest common multiple of u and 60.
300
Let g = -202 + 214. Calculate the least common multiple of g and 22.
132
Let b(w) = w**3 - 8*w**2 - w - 10. Let k be b(8). What is the lowest common multiple of (24/k)/(1/(-12)) and 6?
48
Let b = -3351/176 - -1037261/55440. Calculate the common denominator of -16/7 and b.
315
Suppose 2*r - 5*k = -2*r + 14498, 5*k = -2*r + 7234. Suppose 7*h = -r - 3798. Find the common denominator of (2/8)/((-10)/h) and -51/22.
22
Let o(r) = -8*r**2 + 2*r + 2. Let j be o(-1). What is the common denominator of (6/45)/(-2)*438/j and 101/200?
200
Let c(h) = h**3 + 10*h**2 + 8*h - 13. Let q be c(-9). Let d be q/(-8)*8*-3. Find the common denominator of -149/6 and 9/d + 84/16.
6
Let w = 7 + 9. Suppose -t + 5*t = w. Let k(s) = s**2 - 3*s. What is the smallest common multiple of k(t) and 7?
28
Suppose -3*w - 3*i = 6, -5*w - i - 18 = -0*w. Let j = 16 - 7. What is the lowest common multiple of 3*(-6)/j*w and 1?
8
Suppose 3*u - 28 = -4*u. Suppose -4*n + n = -9. Calculate the smallest common multiple of 2 - (1 + -7 + u) and n.
12
Find the common denominator of 67/116 and (-438)/5481 + 26/273.
1044
Suppose 11*p - 8*p - 6 = 0. Let g = 457/11 - 949/22. Calculate the common denominator of (0 - p)*(-4 - 107/(-12)) and g.
66
Let f be (-2)/9 + 59456/205020. Let u = 12/85 + f. Let y = 1781/134 + u. Calculate the common denominator of y and 11/20.
20
Let q = -575/4 - -142. Let o be 8/(-6)*(-18)/(-6633). Let k = o - 263029/22110. Calculate the common denominator of q and k.
20
Let j = 1710 + -1602. What is the least common multiple of 66 and j?
1188
Suppose 3*c - 6*h - 441 = -3*h, c - 138 = -2*h. What is the least common multiple of