
30
Suppose -3*j + 0 = -9. Let t(l) = -l**3 + 10*l**2 + l - 14. Let d be t(10). Let c = 7 - d. What is the lowest common multiple of c and j?
33
Suppose 5*i - 20 = i, -4*l = 2*i - 18. Let b(t) = t**2 + 3*t - 30. What is the least common multiple of l and b(-8)?
10
Calculate the common denominator of (-17 + 1900/80)*2/(-120) and 37/8.
80
Suppose 5*r + 45 = 2*b, 2*b - 54 = 4*r - 12. Suppose b*d + 80 = 19*d. Calculate the smallest common multiple of d and 20.
20
What is the common denominator of (5280/1872)/(-6*(-4)/9) and 48/13?
52
Let w(m) = -m**3 + 943241. Let t be w(0). Let c = t - 7560919/8. Let d = c - -1880. Calculate the common denominator of d and -13/9.
72
Let x = 11 - 14. Let i = x - -19. Calculate the least common multiple of i and 6.
48
Let o be (-3)/(-4)*(-208)/378. Let a = -13/42 + o. Find the common denominator of ((-9)/30)/(161/(-79) + 2) and a.
90
Suppose 3*b - 39*b + 2520 = 0. What is the smallest common multiple of b and 7?
70
Let c = -17 - -22. Suppose c*x - 24 = -9. Suppose 0 = -d - x, -k - 2*d = -5*d - 17. What is the smallest common multiple of 7 and k?
56
Suppose 16*f - 844 = -2*v + 14*f, -f = 3*v - 1276. Calculate the least common multiple of v and 7.
427
Suppose -18*p = -81*p + 1008. What is the lowest common multiple of p and 386?
3088
Let n = -65/16 - 299/16. Suppose -t + 220 = 5*y, -4 - 11 = -3*t. Suppose -r = 5, -3*s + r - 2*r = -y. Find the common denominator of n and s.
4
Let r be (-7 + 17)*(-2)/(-5). Let v(q) = q**2 + 3*q - 8. Calculate the smallest common multiple of 6 and v(r).
60
Let z = 244 + -239. Let s(d) = d**3 - 11*d**2 - 11*d - 8. Let f = 16 - 4. Calculate the least common multiple of z and s(f).
20
Let y be (-2 + 26)/((-6)/15). Find the common denominator of 67/2 and (-6)/12 + (-333)/y.
20
Let c be (-18)/(-45) + 613/(-55). Let v = c + 114/11. What is the common denominator of -49/20 and v?
220
Suppose -2*r + 37 = -251. What is the lowest common multiple of r and 40?
720
Let a(q) = -5*q + 26. Let b be a(5). Let p = -24 + 40. Calculate the lowest common multiple of (66/3 - 0)/b and p.
176
Let c(f) = f**3 - 6*f**2 + 3*f + 2. Let q be c(4). Let r = q + 37. Calculate the smallest common multiple of r and 2.
38
Suppose 0 = 2*y, 10 + 10 = 2*f + 5*y. Let k(p) = -5 - p + 5*p + 0*p. Calculate the smallest common multiple of k(4) and f.
110
Suppose -53*h = -68*h + 5400. What is the least common multiple of 40 and h?
360
Suppose -w = -3*m + 274, 14*m - 4*w - 459 = 9*m. What is the least common multiple of m and 52?
364
Let p = 400 - 145. Find the common denominator of p/(-50)*1/(-6) and ((-4)/(-28))/(4/(-150)).
140
Let m = 2909/238 - 260/17. Calculate the common denominator of -113/50 and m.
350
Let l = -319/30 + 54/5. Calculate the common denominator of l and 53/66.
66
Let u(b) = 2*b**2 - b - 5. Let t be 336/(-105) + 1/5. Let s = 43 - 25. What is the least common multiple of s and u(t)?
144
Let y(u) = 4*u + 2. Let x be y(2). Let b be ((-92)/x)/((-12)/30). Find the common denominator of -89/20 and (b/32)/(9/36).
40
Let n = -1204 + 1224. Calculate the lowest common multiple of 88 and n.
440
Calculate the lowest common multiple of 8 and (-3199)/(-23) + (-60)/690.
1112
Let o = -38 - -53. Let k = 484 + -455. Let w = k - o. What is the smallest common multiple of 10 and w?
70
Suppose p = 2*i + 437, 2*p + 2*i - 5*i - 874 = 0. Let l = p + -967/2. Calculate the common denominator of l and -7/8.
8
Suppose 40 = -3*t + 82. What is the lowest common multiple of 56 and t?
56
Find the common denominator of 51/6*(-10)/45 and -113/10.
90
Let n = -24 - -29. Find the common denominator of 63/2 and ((-78)/(-195))/((-9)/n).
18
Let z(t) = 2*t**3 - 3*t**2 + 2*t - 3. Let a be z(2). Suppose a*r - 126 + 46 = 0. What is the smallest common multiple of r and 4?
16
Suppose -18*z + 12*z + 15324 = 0. Let x = 10133/4 - z. Find the common denominator of -12 and x.
4
Suppose -2*o = -3*d + 2*o - 257919, 0 = 4*d - 5*o + 343892. Let a = 39289642/457 + d. Let y = -36521/10054 - a. What is the common denominator of y and -3/10?
110
Let n = 4215 + -25201/6. What is the common denominator of n and -79/20?
60
Let q = -6 - -8. Suppose 3*t + 20 = -q*w + 3*w, -2*t = 8. Suppose 5*j = 45 - 0. Calculate the lowest common multiple of w and j.
72
What is the lowest common multiple of 10 and (-1 - -6 - 4)*-3 + 13?
10
Let o(z) = z**3 - z - 22. Let p be o(0). Let c = p + 24. Calculate the lowest common multiple of 3 and c.
6
Let d = -2/3951 + -125111/7902. Find the common denominator of 3/4 and d.
12
Find the common denominator of ((-13)/(-30))/((-209)/(-836)) and 37/30.
30
Let w(a) = -a**2 - 12*a + 1. Let x = -261 - -276. Calculate the lowest common multiple of w(-11) and x.
60
Let a(l) = -10*l**2 - l - 5. Let t be a(-8). Find the common denominator of 67/8 and ((-2)/(-4))/(28/t).
8
Suppose 45 = 4*w + 9. Calculate the common denominator of -101/44 and 5*53/(-6)*w/(-330).
44
Let y = 23 - 6. Let f = 19 - y. What is the common denominator of -1/4 and (-315)/120 + 8/f?
8
Calculate the common denominator of -55/87 and ((-2)/(-324)*9)/(29/417).
174
Suppose 6*i - 85 = 23. Let t = 20 - 18. What is the smallest common multiple of i and (-13)/26*(-8)/t?
18
Let p = 5560 - 1039749/187. Find the common denominator of 39/22 and p.
374
Let q(i) = i**2 - 9*i + 44. What is the least common multiple of 110 and q(0)?
220
Let v = 4094 + -24487/6. Find the common denominator of v and 69/62.
186
What is the common denominator of -41/85 and (43/43)/(9/(-29))?
765
Suppose -6 + 2 = 5*s + 4*t, -5*s - 2*t = 2. Suppose b - 7 - 4 = s. Let k(m) = m**2 - 10*m - 5. Calculate the least common multiple of k(b) and 2.
6
Let j = -407 - -411. What is the lowest common multiple of 18 and j?
36
Suppose 2*d + 2*k - 28 = 34, -4*d - 3*k + 129 = 0. Let l(u) = 11*u**2 - 88*u + 3. What is the least common multiple of l(8) and d?
36
What is the lowest common multiple of (-85)/51 + 17/3 and 20?
20
Suppose 4*v - 4*d = d + 34, 0 = v - 5*d - 16. Let i(c) = c + 46. What is the smallest common multiple of i(-4) and v?
42
Suppose 28*s + 8 = 29*s. What is the least common multiple of 66/15 + 2/(-5) and s?
8
Find the common denominator of -3 + 80/24 - (-386)/(-402) and -41/6.
402
Suppose 5*n - 2*n + 2*o = 23, -3*n - 5*o = -26. Suppose -5*d - 99 = -4*x + 161, -4*x - 2*d + 288 = 0. Calculate the smallest common multiple of n and x.
70
Let n(z) = 9*z + 2. Let k be n(-3). What is the common denominator of (-25 + -2)*(-10)/k and 31/8?
40
What is the smallest common multiple of ((-11)/(572/39))/((-3)/24) and (-2)/(0 + 1)*-11?
66
Let o = 162/739 + -8927/226134. Calculate the common denominator of o and 73/136.
1224
Let i = -49133/37620 + 1/2090. Calculate the common denominator of i and 113/6.
36
Let z = -181 - -295. Let o = 156 - 148. Calculate the common denominator of -12/5 and -9 - -13 - z/o.
20
Let p be (-2)/7 + (-1920)/315. Let f = 209/28 + p. Calculate the common denominator of 85/4 and f.
12
Calculate the common denominator of 23/70 and ((-214)/20)/(21/5).
210
Let m = 49781/8 + -6214. Calculate the common denominator of 33/791 and m.
6328
Let l = -2 - 6. Find the common denominator of 119/20 and (10/(-12))/(3*l/36).
20
Let f = -46051/12 + 3842. Calculate the common denominator of f and -145/402.
804
Let m = 40 - 28. Suppose 1 = -4*u + 9. What is the smallest common multiple of u and m?
12
Let f(g) = g**2 - 5*g**2 - 3 + 7*g**2 - 6*g - 2*g**2. Calculate the least common multiple of f(8) and 10.
130
Let x = 323/26 - 3637/208. Let b be (-1)/(-1) - (-167897)/(-22). Let i = b - -7628. Calculate the common denominator of i and x.
176
Find the common denominator of 0 - 0 - 77/(-6) and (-474)/(-8)*66/(-2277).
138
Let j = -7429/732 - 57/61. Calculate the common denominator of -63/20 and j.
60
Let g be 16/16 - 1*(-63)/(-3). Suppose -72 = -3*v + 6*v. Let j = g - v. What is the lowest common multiple of 14 and j?
28
Let v be 617/(-1)*3/(3/(-2)). Let l = -22289/18 + v. Find the common denominator of l and 115/14.
126
Let y be (-13 + 4)/(6/(-66)). Let o = 119 - y. Calculate the least common multiple of (46 + 0)/((-2)/(-4)) and o.
460
Let k = 5147/2 - 2541. Let d = -2683/2388 - -8/199. What is the common denominator of k and d?
12
Let i be 1515/8658 + (-4)/24. Let t = i + -19777/6734. Calculate the common denominator of t and -6