6*k**2 - 70*k + 218. Calculate the least common multiple of h(3) and (-41)/((-1)/(15 + -2)).
4264
Let r = -4744 - -4798. Let p be 1*-3*166/(-3). Calculate the smallest common multiple of ((-6)/(-9))/(p/r - 3) and 11.
99
Suppose 0*i = -i + 12. What is the lowest common multiple of ((-45)/189 - (-6)/(-14))*-99 and i?
132
Let u = -1/90 + -3283/180. Suppose 2*w - h + 32 = -34, -5*h - 112 = 3*w. Calculate the common denominator of u and w + 38 - 112/10.
20
Let k be (-1)/((-2)/990) + 6. Suppose -21 + k = 12*n. What is the lowest common multiple of n and 6?
120
Suppose -12 = 3*w, -9*w = 2*s - 13*w - 40. What is the lowest common multiple of s and 318?
636
Suppose 6*k - k + 341 = 4*h, -5*h - 5*k + 370 = 0. Let f = h - 78. Suppose -7*i + 9 + 12 = 0. Calculate the least common multiple of f and i.
3
Let p be 0 + (-3 - 2) + (55 - 21). Suppose -25*v - 80 = -p*v + 4*x, 5*v - 70 = -5*x. What is the least common multiple of v and 85?
85
Suppose 4*k = 2*k + 8. Let x(a) = -a**2 + a - 1. Let i(g) = -6*g**2 + 5*g + 6. Let y(o) = k*x(o) - i(o). Calculate the lowest common multiple of 13 and y(-3).
143
Suppose w - 2*n - 2*n + 30 = 0, -2*n = 2*w + 10. Calculate the common denominator of (309/12 - -1) + (w - -6) and -33/14.
28
Suppose 3*m - 318 = 3*k, 514 = 82*m - 77*m - 3*k. Calculate the least common multiple of m and 1428.
9996
Let m = -183729629/660 - -278378. Calculate the common denominator of -5 and m.
660
Let c be (-4676619)/(-252) - 4/48. Suppose 21206 = -4*x - 52994. Let k = x + c. Find the common denominator of k and -99/20.
140
Let x(j) = 5*j**2 - 71*j + 211. Calculate the smallest common multiple of 9 and x(12).
711
Suppose 43*g = 32*g - 11. Calculate the lowest common multiple of -4 + g - (3 - 22) and 58.
406
Let q = -1486/4655 - -47/147. Let w = q + -470/133. Calculate the common denominator of w and -11/60.
60
Suppose 30*p - d + 39 = 25*p, 0 = 4*d + 4. Find the common denominator of (-165)/(-935)*(-46)/p and -99/8.
136
Let j(x) = -x**2 - 967*x + 15 - 967*x + 1956*x. Calculate the lowest common multiple of j(22) and 30.
30
Suppose 15*k + 336 = 66. Calculate the least common multiple of (-4)/k + 1704/108 and 32.
32
Let h(m) = -m - 6. Let f be h(9). Let b be 12/f - 16/5. What is the common denominator of -33/38 and 84/(-98)*13/b?
266
Let u = 3413/4 + -85391/100. Let m = 1329/80 - 373/16. What is the common denominator of m and u?
50
Let j be 101 - (6/4)/(18/24). Suppose 0 = 15*d - 4*d - j. What is the least common multiple of d and 76?
684
Suppose 0 = -2*h + 5*z - 6, -h + 3 + 3 = 2*z. Let o = 248 - 230. What is the least common multiple of o and h?
18
Suppose -66*y + 7704 = 23*y + 125*y. Calculate the smallest common multiple of 20 and y.
180
Suppose 3*g - 2*g + 3 = 0. Let d be 1 + 2/(g + 290/98). Calculate the common denominator of 103/6 and 1 + (-628)/d + (-6)/2.
12
Let v = -3485 + 104669/30. What is the common denominator of v and -77/510?
510
Let v = 19539 - 19359. What is the lowest common multiple of v and 210?
1260
Let h(p) = -5*p + 16. Let d be h(5). Let c be d/6*156/9. Let a = c - -34. What is the least common multiple of 10 and a?
40
Let x = 27612 - 384747/14. Let a = x + -130. Let o = -1/2402 + 61253/4804. Find the common denominator of o and a.
28
Let c = 158895 + -293813. Let j = 11333375/84 + c. Let q = 61/12 + j. Calculate the common denominator of 89/6 and q.
42
Suppose -292*q = -336*q + 4752. What is the lowest common multiple of q and 48?
432
Let p = 319 + -312. What is the common denominator of (4207/858)/p - (-4)/(-12) and 1*(-2)/44 + -2?
286
Let w = 22958 + -22918. Let s(f) = f**3 - f**2 + f + 36. Calculate the smallest common multiple of s(0) and w.
360
Suppose -28*j + 14 - 70 = 0. Calculate the common denominator of 41 and (j/8)/(-2 + 216/111).
8
Let w = -117768 + 17311817/147. What is the common denominator of w and -131/84?
588
Let a(l) = -15*l**3 - 2*l**2 - 2*l - 1. Suppose 12*i = 13*i - 11. Let u = i - 5. Calculate the lowest common multiple of u and a(-1).
42
Let x(u) = 7*u - 37. Let z be x(6). Suppose z*c - 4 = -9. Calculate the smallest common multiple of ((-9)/12)/(c/24) and 1.
18
Suppose -t - 30 = -5*p - 4*t, -5*t = 5*p - 40. Suppose 3*g = 5*m - m - 273, p = -g. Find the common denominator of (m/144)/(-11)*(-5)/(-2) and 29/20.
240
Let x be (1243/(-22))/(2/(-12)). Let t = -323 + x. Calculate the smallest common multiple of t and 10.
80
Suppose 360 = 2*s - 4*o, -s + 3*o = -46 - 140. What is the lowest common multiple of 24 and s?
168
What is the common denominator of 7759/2520 - (7 - -14 - 18) and -37/84?
2520
Let m(x) = x. Let j be m(6). Suppose 0 = j*y - 14*y + 288. What is the least common multiple of y and 36?
36
Suppose 13*s - 20*s = 1612464. Let g = s + 50677329/220. Find the common denominator of g and -97/24.
1320
Suppose -1 = 4*w - 17. Suppose -d = -w*d + 36. Let j(b) = -6197*b + 92964. Calculate the smallest common multiple of d and j(15).
36
What is the common denominator of (-6)/(-9)*(-1065)/(-40) and 150/63*(-15)/(-12)?
84
Let s = 382416311645825/13314 - 28722871523. Let t be (-22080)/122045 + (-74)/(-407). Let v = t + s. What is the common denominator of 38/5 and v?
30
Let q be (22/6)/(16/48). Suppose -q*b - 8 = -13*b. Find the common denominator of 472/168 - b/6 and -117/10.
70
Suppose -5*q - 125 = -2*u - 185, 0 = -7*q + 5*u + 73. What is the smallest common multiple of q and -1 + (-389)/(1/(-1))?
2716
Let k be ((-33)/18)/((-5)/30). Let y be (k/(-6))/((-117)/(-27)). Let q = y + 425/52. Find the common denominator of q and 23.
4
Let h(j) = -3*j**2 + 77*j - 45. Let g be h(25). What is the least common multiple of 6/(-15)*g + 6 and 74?
148
Let j = -83557/40 - -2089. What is the common denominator of 57/140 and j?
280
Let q = 251 - 256. What is the common denominator of 74/(-12) - (-2 - q) and -49/18?
18
Suppose 174*i = 19541 + 24307. What is the lowest common multiple of 396 and i?
2772
Let t(d) = -2*d - 5 + 60*d**3 - 7*d**2 - 61*d**3 + 2*d. Let m be t(-9). What is the common denominator of 127/18 and ((-78)/90 - -1) + m/10?
18
Suppose -443565 = 11*j - 80048. Let n = j - -2478451/75. Calculate the common denominator of n and 62/3.
75
Let v = -200 + 204. Suppose 0 = -v*l + 3*d - 354 + 1354, d = l - 250. What is the lowest common multiple of 20 and l?
500
Suppose -3*i = i - 3*u - 2, 8 = 2*i + 2*u. Let o = i - -4. Calculate the least common multiple of 3 + -1*(-2 - (-4 - -2)) and o.
6
Calculate the least common multiple of (-7 + (-266)/(-98))/(6/(-28)) and 496.
2480
Let h(t) = t**2 - 12*t + 39. Let q be h(6). Suppose 4 = -4*u, -144 = -5*r + q*u + 699. Calculate the least common multiple of r and 10.
840
Let u = -119 - 532. Let y = u - -675. What is the common denominator of y and -46/5?
5
Let n be 6934/90*(-4 - 0)/(-4). Let a = 77 - n. What is the common denominator of -23/15 and a?
45
What is the lowest common multiple of (-3 - -4)*20/20 + 29/1 and 2460?
2460
Let b(d) = -3*d**3 + 21*d**2 - 19*d - 7. What is the least common multiple of 182 and b(-5)?
6916
What is the lowest common multiple of 21 and (494 + -155)/((-8)/(-7) + -1)?
2373
Let h = 2504/3 - 843. Suppose -5*r + 3*p + p + 7428 = 0, r - 3*p - 1479 = 0. Let b = r - 13369/9. What is the common denominator of b and h?
9
Suppose -43*y + 1010 = -1204 + 408. Let i be (-10)/3*(-9)/6. Suppose -27 = -4*l + i. Calculate the lowest common multiple of y and l.
168
Let u(w) = w**2 + 38*w + 42. Calculate the least common multiple of 35 and u(-42).
210
Suppose -j - 3*h + 39 = 0, -h = 3*j - 0*j - 101. Calculate the lowest common multiple of (-156)/(-5) - (-2934)/1630 and j.
33
Let t = 2791 - 11219/4. Let v be 2/(-6)*(12365/12545 + -1). Let z = -253169/50180 - v. Calculate the common denominator of t and z.
20
Let j(b) = -19*b + 112. Let w be j(6). Find the common denominator of -37/105 and w/(-7) + 0 + 3342/(-84).
210
Let b(s) = s**3 - 11*s**2 + 29*s + 2. Let f be b(5). Find the common denominator of 16/72*f + (-25)/6 and (-1)/(-18)*-37 + 0.
18
Let y(u) = -8*u**2 - u - 16. Let b(r) = 15*r**2 + 3*r + 30. Let s(g) = 5*b(g) + 9*y(g). What is the least common multiple of 26 and s(-2)?
78
Let t = -16295719/216 - -75443. Calculate the common denominator of -95/78 and t.
2808
Let p = 58/11 - 387/88. Calculate the common denominator of p and ((-2)/(-42))/((-13)/(-3939)) + -9