 t be (-3)/15 - -31*186/812. Let m = t - 1/1015. What is the common denominator of i and m?
40
Let i(q) = 9162*q**3 + q - 1. Let z be i(1). Let y = z - 73397/8. What is the common denominator of y and 19/8?
8
Let o(k) = -3825*k**3 - 2*k + 2. Let y be o(1). Let f = -45761/12 - y. Find the common denominator of f and -125/12.
12
Let u = -2 - -11. Let b = 11 - u. Suppose -i = b*i - 105. What is the least common multiple of i and 10?
70
Let p = -1054 - -1076. What is the least common multiple of p and 12?
132
Let m(u) = -u - 14. Let q be m(-29). Suppose 0*p + p - 3*i = q, 0 = 3*p + 3*i - 33. What is the least common multiple of p and 22?
132
Let n be 460573/(-43274) + (-15)/((-25)/5). Let h = 10327030/3091 + -3341. Let s = h - n. Find the common denominator of 39/14 and s.
14
Let k = 151 + -136. What is the lowest common multiple of 70 and k?
210
Suppose 2*j = -0*j + 4. Let i(z) = -2*z**3 + 36*z**2 - 2*z + 43. Let a be i(18). What is the smallest common multiple of 20 and 24 - 7/(a/j)?
220
Suppose -270 = -7*b - 3*b. Calculate the least common multiple of b and 30.
270
Let r = 53 - 53. Suppose r = 3*h - j - 99, 4*j + 6 - 72 = -2*h. Calculate the least common multiple of h and 6.
66
What is the smallest common multiple of (14 - (-2 + 15))*(5 - -1) and 90?
90
Suppose -p + 3*i = 10, -21*p = -18*p - 3*i. Calculate the least common multiple of p and 220.
220
Let a = -10 + 7. What is the common denominator of -37/10 and (298/(-8) - -4)/a?
60
What is the common denominator of 4/(-176)*(-402)/(-24) and 41/112?
1232
Let d = -25015/9 - -2786. Let x = 0 + 1. What is the common denominator of d and (-166)/20 - (x - 2)?
90
Let l be 548/(-17540)*64 - -2. Let n = l - -372713/26310. Calculate the common denominator of 117/6*16/42 and n.
42
Calculate the common denominator of 4/(-20)*(-770)/(-4) and -4 + 4 - 77/2.
2
Let d = 880/9 + -8509/90. Calculate the common denominator of d and 1/48.
240
What is the smallest common multiple of 4/32 - (-1008)/128 and 8?
8
Let o = -4404549561587/430529056551 - -20/228883071. Let c = -277/27 - o. Let h = c - 15245/418. Find the common denominator of -101/4 and h.
4
Suppose -2*t + 4*y + 22 = 0, 0 = 5*t - 4*y - 29 - 2. Suppose 0 = -t*r - 16 + 43. What is the lowest common multiple of r and 27?
27
Let i(d) = -d + 1. Let y be i(-3). Find the common denominator of 61/2 and 20/y*24/(-20).
2
Suppose -30*n + 96 = -26*n. Calculate the common denominator of ((-2)/(-4))/((-17)/(-25)) and 2/(n/10)*328/(-80).
204
Let p(x) = -x**3 + 8*x**2 - 9*x + 8. Let a be p(6). Suppose 3*i + 2 = a. What is the lowest common multiple of i and 3?
24
Suppose -5*o + 4*l = -100, 3*l + 15 = -4*o + 64. Suppose 3*v - 1690 + 79 = 3*b, 0 = b - 3. Calculate the smallest common multiple of 4 and v/o + 5/20.
68
Let z(f) = f**3 - 5*f**2 - f. Let m = -7673 - -7691. Calculate the lowest common multiple of m and z(6).
90
Let a(g) = g - 12. Let c be 3 - (6/3 - 11). Let p be a(c). Suppose z - 2*z + 9 = p. Calculate the least common multiple of z and 8.
72
What is the common denominator of 127/102 and 2 + -7 + (146/12)/1?
102
Suppose 0 = -7*j - 0*j + 2590. Suppose 3*k + f = -f - 575, j = -2*k + 2*f. Let r = k + 1509/8. What is the common denominator of r and -29/14?
56
Suppose -2*v + 3 = -33. Let j = 10 - 8. Suppose -2*a + j = -a. What is the smallest common multiple of a and v?
18
Let s(j) = 0*j**3 - 10 - 6*j**2 + 0 + j**3 + j**2 + 7*j. Calculate the lowest common multiple of s(4) and 5.
10
Let n(j) = -1. Let y(k) = 2*k + 12. Let x(v) = -6*n(v) - y(v). What is the least common multiple of 20 and x(-5)?
20
Suppose 0 = -5*c - 9 - 16. Find the common denominator of 1146/(-1440) - (-3)/c and 52/33.
528
Calculate the common denominator of -1 - 8/(256/65) and 67/108.
864
Suppose 4 = -6*r + 22. Suppose -4*b + 13 = -y, r*y - 6*b = -5*b - 72. What is the lowest common multiple of 5*(3 + 65/y) and 4?
4
Let w(t) = t**2 - 14*t + 32. Let v be w(11). Calculate the common denominator of v + 127/(-16) + 3 and 39/16.
16
Suppose 0*h - 2*h = -5*r + 5, -5*r = 4*h - 5. Calculate the lowest common multiple of r and 213.
213
What is the smallest common multiple of (-6)/(-33) - (-174)/11 and ((-12)/18)/((-6)/99)?
176
What is the common denominator of 119/(-7)*5/(-2) and (-4)/(-12) + (-62)/18?
18
Find the common denominator of -91/6 and (11 - 22 - -10)*(-69)/204.
204
Suppose 2*k = 6, -3*r + 6*r + k = 33. Let u(v) = v**2 + 3*v + 24. Calculate the lowest common multiple of u(-6) and r.
210
What is the common denominator of 28/9 and (-2)/10 - (-16758)/110565?
351
Suppose 3*k = 4*s - 526, -5*s + 3*k + 654 = k. Suppose s = -g - 4*g. What is the common denominator of 89/16 and (-2)/6 - g/(-24)?
48
Let u = 4622/7 + -790397/1197. Let r = -8801/2736 - u. What is the common denominator of (-2 + 310/24)/(-1) and r?
48
Let h = 3499 - 892232/255. What is the common denominator of h and -59/40?
2040
What is the common denominator of -83/24 and 4 - (-167)/(-6) - -1?
24
Let r(q) = q**2 - 21*q - 2. Let l be r(19). What is the common denominator of -47/12 and (-371)/90 - (4 + 176/l)?
36
Let f be ((-460)/2 + 1)*1. Calculate the common denominator of (-3)/4 - f/(-36) and 219/27 + (0 - 2).
9
Suppose -3*n + d + 3*d - 71521 = 0, 5*d = -2*n - 47719. Let t = -477053/20 - n. What is the common denominator of -101/18 and t?
180
Suppose z - l - 6 = 0, 7*z + 0*l = -2*l - 3. Suppose -m = -7 - 20. Let c = m - 16. Calculate the smallest common multiple of z and c.
11
Let q(h) = -3*h**2 - 55*h - 11. Calculate the smallest common multiple of 155 and q(-12).
1085
Let i = 5 - 8. Let l = 105/26 - -203/130. Find the common denominator of (-162)/16 - i/2 and l.
40
Let w(h) = h**2 - 8*h + 12. Let q be w(8). Suppose -2*g + q = g. What is the lowest common multiple of (g/10)/(5/150) and 20?
60
Let d be (2/4 + -1)*-4. Suppose -z + 2*k = 10, d*z - z = 4*k. Calculate the lowest common multiple of 1 + -4 - (z + 1) and 14.
112
Suppose 0 = s + 3*s + 12. Let l = -1620 - -1628. What is the smallest common multiple of (s/1)/(1*-1) and l?
24
Let q(w) = w + 18. Calculate the lowest common multiple of q(-14) and 14.
28
Let o be (-32)/(-20) + -2 - (-771757)/(-280). Let f = o - -2757. Let x = -137/62 + 2678/279. Find the common denominator of f and x.
360
Suppose 0*x - 3*x - 4 = -s, s - 5*x - 8 = 0. What is the common denominator of (35/6)/(s/(-3)) and 1012/(-2208) - 4/(-3)?
8
Suppose -240 = -327*l + 307*l. What is the lowest common multiple of l and 45?
180
Let l be -3*6*2/(-12)*-10. Find the common denominator of 77/4 and (13/(-6))/((-2)/l).
4
Suppose 3*o - 42 = -0*o. Suppose 0*h + 5*h = -3*a - o, 4*a = h - 11. What is the common denominator of (51 + 4/h)/6 and 107/10?
30
Suppose 78 - 8 = 7*i. What is the lowest common multiple of 18 and i?
90
Suppose -4*l = -3*z - 95, 5*l - 3*z - 113 = 2. Calculate the smallest common multiple of 40 and l.
40
Let n = 73741/300365 + 3/4621. Find the common denominator of n and -31/30.
390
Suppose 0 = -2*c + 2*p - 1734, 1679 + 37 = -2*c - 4*p. Let k = c + 6925/8. Find the common denominator of k and 91/4.
8
Let h = 60902 - 2436201/40. What is the common denominator of 327/(-66) - (-1 + 0) and h?
440
Let q be (-1)/5 - 0 - 37210/(-175). Let a = q + -212. What is the common denominator of 156/45 - 2/3 and a?
35
Find the common denominator of -4 - 1*(790/(-225) - 1) and -7/30.
90
Suppose 16*n - 48 = 10*n. Let p = 6 - -38. Suppose -7*u + 3*u = -p. What is the lowest common multiple of n and u?
88
Let l = 47717/16 - 2980. Find the common denominator of l and 29/1000.
2000
Let m = 515 + -478. Calculate the lowest common multiple of m and 7.
259
Let q be (-3)/(-5) - (-618)/(-30). Let d = q - -16. Find the common denominator of -79/8 and (3/36)/(d/(-856)).
24
Suppose 45 = 4*v - g, 0 = 3*v - 2*v - 4*g. Let a(m) be the first derivative of 2*m**2 - 10*m + 11. What is the smallest common multiple of v and a(7)?
36
Suppose 0 = 2*f - 15 - 45. What is the common denominator of ((-148)/45)/(f/75) and 7/9?
9
Let d = -1706882/12117039 - -1/21599. What is the common denominator of d and -169/30?
5610
What is the smallest common multiple of 72 and -7*4/(-28)*8?
72
Let p(y) = y**2 + 5*y - 14. Let z be p(-7). Suppose 4*j - 183 + 103 = z. Calculate the least common multiple of 12 and j.
60
Let j be (-130 - (4 + -2))/((-6)/4). Let q = j + 