
Let x(r) = r**2 - 10*r - 4. Let h be x(5). Let j = 30 + h. Suppose j = -f + 3*t, f - 5*t + 5 = -4. What is the lowest common multiple of f and 5?
55
Suppose -4*d = -11*d + 105. Let b(i) = 20*i**3 - 2*i**2 - 3*i + 5. Calculate the least common multiple of b(1) and -5*(-4 + 6/d).
180
Let j = -15224 - -319787/21. Calculate the common denominator of j and (18/4)/(105/(-65)).
42
Let x = 3402 + -3392. What is the least common multiple of 26 and x?
130
Calculate the lowest common multiple of 150876/(-3810)*((-2)/10 + 22/(-15)) and 0 + 61 + -4 + 3.
660
Let z = -8/643 + -53209/12860. Calculate the common denominator of z and -1/6568.
32840
Let l be ((-12)/5 - -2)*(-15 + 5). Suppose l*w + 4*h = -205 + 49, -4*h = -w - 39. Calculate the common denominator of ((-1)/(-5))/((-2)/w)*1 and -103/20.
20
Let g(k) = k**2 - 2*k + 32. Let o = -17 - -17. Let j be g(o). Let v = -12 + j. Calculate the least common multiple of 7 and v.
140
Suppose -183*a = 3*a - 205716. What is the least common multiple of 790 and a?
5530
Suppose -4*c + 12 = 3*w, 4*w - 2*w + 14 = c. Suppose y + 1 = 0, -c*q + 3*q + 5*y + 131 = 0. What is the smallest common multiple of 12 and q?
84
Suppose 265*d = 259*d + 132. What is the lowest common multiple of d and 290?
3190
Let r(q) = q**3 + 12*q**2 - 27*q + 13. Let t be r(-14). What is the common denominator of (46/4 - t)/((-4)/8) and 8/18*1770/(-80)?
6
Let m be (-10)/((-1)/(-4) - 0). What is the common denominator of (-2)/(m/58)*-1 and (-746708)/12920 + 62 - 2/19?
10
Let n(h) = -3*h**3 - 8*h**2 - 7*h - 8. Suppose 0 = -27*f + 15*f - 60. What is the least common multiple of n(f) and 4?
404
Suppose 5*x - w = -1834, 0 = -4*x - 3*w + 6*w - 1476. Find the common denominator of x/9*(-6)/72 and 35/6.
18
Suppose 18106 = 13*f - 4039 - 8743. Calculate the least common multiple of 54 and f.
2376
What is the common denominator of -87/2770 and 12/(216/39)*3/(-554)*-7?
5540
Let n = -44 - -38. Let l be 2/n + 77/33. Suppose -l*b = -30 + 24. What is the least common multiple of 8 and b?
24
Let y = 3/6941 - -631571/138820. Find the common denominator of -145/612 and y.
3060
Suppose -63 = 12*l - 5*l. Let b(i) = 6*i - 5. Let h(q) = q. Let x(d) = -b(d) + 5*h(d). What is the least common multiple of 16 and x(l)?
112
Let n be 228557/132 - (-8)/24. Let z = 14662/11 - n. Let k = -400 - z. Calculate the common denominator of k and 69/4.
12
Let l(t) = -11*t + 110. Let p be l(12). Calculate the smallest common multiple of 2 and ((-16)/(-20))/(p/(-20) + -1).
8
Suppose -4*b - 2*i + 546 = 0, 6*b + i = 5*b + 139. Suppose -b = 4*l - 230. What is the least common multiple of l and 60?
120
Let s(n) = n - 2*n + 3*n + 19*n**3 + 5*n**3 - 3*n**2. Let h be s(2). What is the lowest common multiple of 18 and h/10 + (-2)/5?
18
Let q = -8047 - -8247. Calculate the least common multiple of q and 950.
3800
Let p(t) = -t**2 - 39*t - 249. Let h be p(-10). What is the least common multiple of 69 and (-9)/(-3) - (4 + (-8 - h))?
1104
Suppose 154 = -3*i + 5*i. Suppose -3*o + i = -28. What is the common denominator of ((-26)/4 + -1)*o/(-15) and -43/26?
26
Let h = 157 + -17. Suppose 4*y = -3*y - h. What is the common denominator of ((-15)/y)/(-3) - (-298)/(-24) and 29/36?
36
Let v = -5/289 + 26399/5780. Calculate the common denominator of (486/8)/(-2 + -46) and v.
320
Let r(v) = 2*v**3 - 22*v**2 + 78*v - 10. What is the lowest common multiple of 694 and r(3)?
27760
Let r = 417/20 + -63/5. What is the common denominator of r and 33/(-231) - 124/70?
140
Let c = 35 + -25. Suppose -2*f - 224 = -5*y, 4*y + 3*f = 2*y + 101. Calculate the least common multiple of y and c.
230
Let d be (-15 + 6832/455)*200782/40. Let f = d + -990/13. Find the common denominator of 103/20 and f.
100
Suppose 9*i + 74 = 245. Calculate the lowest common multiple of 6 and (3/(-3) - 0) + i.
18
Suppose a = -5*h + 452 + 53, 105 = h + a. Let g = -25 + h. Let t = -1 + g. What is the least common multiple of 20 and t?
740
Find the common denominator of 4/((-168)/38) + 1 and -5 + (-1192)/96 + 11.
84
Let g(l) = -l + 13. Suppose -16 + 102 = -4*n - h, -h + 103 = -5*n. Let b = 5 - n. What is the lowest common multiple of g(5) and b?
104
Let y = 6163 + -184823/30. What is the common denominator of 22/45 and y?
90
Let o = 3/26044 + -75223/3008082. Find the common denominator of o and 97/3234.
6468
Let y be (32/(-36) - -1) + (-35)/(-9). Suppose -5*k + 136 = y*o, 0 = -0*o + 4*o - 16. Calculate the least common multiple of k and 21.
168
Let a(m) = 8*m + 37. Let n be a(12). Suppose -n = -4*o + 47. Calculate the lowest common multiple of 5 and o.
45
What is the common denominator of -50/7 and -47*(6 + (-116)/20) + 7?
35
Let z(p) = -p**3 + 10*p**2 + 15*p - 48. Let n be z(11). What is the lowest common multiple of 10 and 0 + 5 - (-1)/(n/(-20))?
10
Let u = -3289/6 + 550. Let t = -1/33165 + 103922/165825. Find the common denominator of u and t.
150
Suppose -2*z - 9 = -41. Let w(u) = -u**3 + 338*u**2 - 697*u**2 + 65 + 46*u + 315*u**2. Calculate the lowest common multiple of z and w(-45).
80
Let y = 57704848874/3465 - 16653639. Let i = 13/770 + y. Find the common denominator of 77/68 and i.
612
Let f be 110/15*(-4 + (-110)/4). Find the common denominator of -131/30 and (-7)/(-14) + (-4 - f/54).
90
Suppose -5*u + 3887189108 + 893271385 = 3*c, -2*c + 2 = 0. Let j = 8671755404131/9070 - u. Let i = -1/907 - j. Calculate the common denominator of i and -49/20.
20
Let p = -54827/803 - -750/11. Calculate the common denominator of -50/219 and p.
219
Let z be (-50)/(-225) - 148/18. Calculate the smallest common multiple of 3588/(-90)*-5 - z/(-6) and 162.
1782
Let l(k) = 49*k + 1. Calculate the least common multiple of l(1) and 3*(65/(-39) + 15).
200
Suppose 11 = 4*q + 59. Find the common denominator of (-6135)/450 - q/9 and 99/8.
40
Let j be (-9)/60*(-124347)/(-9). Let r = j - -4143/2. Calculate the common denominator of 369/420 - 12/63*-3 and r.
20
Let n(y) = -4*y + 101. Let b be n(27). What is the lowest common multiple of -1 + 5 + (-9 - (b + -54)) and 70?
280
Suppose 0 = 2*u - l - 828, 1 = -5*l + 21. Suppose -3*g - 24 = -z, 3*g - 3*z - 18 = 4*g. What is the common denominator of g and (-3)/11*u/(-144)?
33
Let o = 6894 + -5669. What is the least common multiple of o and 10?
2450
Let r(t) = -t**2 + 240*t + 1245. What is the smallest common multiple of 514 and r(-5)?
5140
Suppose 34*g = 29*g - 3755. Let i = 781 + g. What is the lowest common multiple of i and 24?
120
Let f = -9175 - -9464. What is the least common multiple of 187 and f?
3179
Suppose 19*j - 17*j = -98. Let b be 108/7*j/(-2 + -5). What is the common denominator of 43/42 and (3/b)/(6/1251) + -1?
168
Let c be ((-10)/(-15))/(10/45). Suppose c*l + 1 = -2*h, -16*l + 11*l - 46 = -3*h. Calculate the least common multiple of 3 and h.
21
Suppose 68 = 2*u + 4. Suppose 0 = -2*n - r + 29, -4*n - 16 = -3*r - 89. Calculate the smallest common multiple of n and u.
32
Let i(x) = -x**3 + 3*x**2 - 6*x + 17. Let o be i(3). Find the common denominator of (795/27*7/35)/o and 65/18.
18
Calculate the common denominator of ((-85)/(-2))/(3*-1) and 35372/(-1434)*2/8.
6
Let j = -1661 + 4274. Let a = j - 271699/104. Calculate the common denominator of a and -89/16.
208
Let x be 80793/(-6)*(3 - (-147)/(-45)). Let o = x - 3603. Calculate the common denominator of -26/27 and o.
135
Let c = 20594603/330 - 62408. What is the common denominator of c and -139/150?
1650
Let t be 20995149/1518 - (-6)/33. Suppose 40081 = -4*s + 4*f - 15239, 3*s = 2*f - 41490. Let g = t + s. Calculate the common denominator of -109/6 and g.
138
Let p(b) = 2*b**2 - 5*b + 4. Let f be p(4). Let y be ((-378)/(-90))/(-1 + f/15). Find the common denominator of 27/10 and 85/36*10 + 14/y.
30
Let s(w) = -w**3 + 2*w**2 + 5*w + 3. Let r be s(4). Calculate the common denominator of 95/8 and (11/88)/(6/r).
16
Let b = -70/15553 + 46939/62212. Let w = 274/460145555 - -4277456690847/1966478043848. Let a = w + -1/5342. Calculate the common denominator of a and b.
40
Suppose -7 = -7*l + 8*l. Calculate the lowest common multiple of ((-1)/(l/(-12)))/(244/(-854)) and 123.
246
Let j be (-1)/(10/(-2) + (-238)/(-49)). What is the least common multiple of (3 - (-1 + j))*(-1)/3 and 29?
29
Suppose -6*j + 9*j - 660 = 0. Suppose 30*s - 3*c = 29*s + 45, -4*c = 8. Calculate th