Let x(c) = c**2 + 28*c - 70. Let q be x(-31). Let f = -5 + q. Calculate the smallest common multiple of l and f.
18
Let o = -450 + 445. Calculate the least common multiple of 39 and 4 + o + (71 + -1)/5.
39
Let r = 1367/2 + -13769/20. What is the common denominator of 9 + 93/(-10) - 9 and r?
20
Let p = -951315 + 23788313/25. Let j = 218 - p. Calculate the common denominator of j and -13/90.
450
Let r(t) = t**2 - 7*t. Let w be r(6). Calculate the common denominator of 0 - (16/(-40) - 267/45) and 2 + 16/w + -4.
3
Let r(n) = 11*n - 68. Let h be r(11). Let l = -44 + h. Find the common denominator of 43/27 - l/(-27) and -31/24.
216
Calculate the common denominator of (-1615)/2100 + 3*12/126 and 41/348.
1740
Calculate the smallest common multiple of 825 and (-33*(4 + 70/(-15)))/(22/825).
825
Suppose 3*r = 9*r - 8964. Let s = r + -12053/8. What is the common denominator of 35/6 and s?
24
Let d = 1 + 3. Let c(a) = -19*a**2 - a**3 - 17*a - 9 + 54 - 17. What is the smallest common multiple of c(-18) and d?
20
Let n = -107446 - -61897. Let s = -1912909/42 - n. Calculate the common denominator of -19/21 and s.
42
Suppose -3*w = -2*x - 369, 4*x - 77 = -w + 32. Let k be (40/10 + 34)/(-1 + (-138)/(-105)). Let t = w - k. Calculate the common denominator of t and -13/23.
253
Suppose 0 = 4*b - 21 - 3. What is the common denominator of 567/(-14)*3/b and (-732)/32*(2 + 22/(-12))?
16
Calculate the smallest common multiple of 168 and (-3 - 2 - (-483)/84)*416.
2184
Let f(n) = -135*n - 734. What is the lowest common multiple of f(-12) and 886?
886
Let f be 2 + 3/(-1 - -2). Suppose -2*w = -3*p - 14, -2*w - 3*p + f*p + 18 = 0. What is the common denominator of (-15)/20*w - -3 and -139/12?
12
Let d(m) = m**3 - 7*m**2 + 13*m + 12. Let s be d(6). Let k = 59 - s. What is the lowest common multiple of 7 and 3 + (-18)/k + (-108)/(-30)?
21
Let b = 20/99 + -8891/396. Let u = -31995 - -991866/31. Calculate the common denominator of b and u.
124
Suppose 41952 = b - 20*b. Find the common denominator of b/1120 + (-4)/(-10) and 89/128.
896
Let h(f) = f**2 - 27*f + 102. What is the smallest common multiple of h(23) and (1 - (-2)/(-3))/(7/210)?
10
Let s = 613090/59 - 10392. Calculate the common denominator of (3/7)/(-1) - 93423/(-2926) and s.
118
Let b(z) = -z**3 - 11*z**2 - 2. Let k be b(-11). Calculate the smallest common multiple of ((-4)/k + 1)/((-42)/(-112)) and ((-32)/(-14))/(2/7).
8
Suppose 2*v - w - 43 = -2*v, -2*w = 4*v - 58. Let i(a) = -4*a**2 + 58*a - 164. What is the lowest common multiple of (1 - -2)/(3/v) and i(9)?
204
Let b = 215 + -422. Let x = -147 - b. Calculate the common denominator of -15/2 and (-962)/x - (-10)/50.
6
Suppose 4*y = 5*l + 6*y - 26, 2*l + 7 = 5*y. Let q(b) = 3*b**2 - 5*b + 17. Calculate the lowest common multiple of 25 and q(l).
225
Let m = -415/2 + 86. Let l = m - -147. Find the common denominator of l and (-549)/(-60) + -4 - 33/165.
20
Let m be 18/15 + 28446/5445. Let t = m + -3572/693. Find the common denominator of 26/9 and t.
63
Suppose 0 = 7548*u - 7561*u + 169. What is the lowest common multiple of u and 6?
78
Let m(o) = -o**3 + 21*o**2 - 25*o - 35. Let r(u) = u**2. Let g(l) = -m(l) - 5*r(l). Calculate the least common multiple of g(25) and 35.
35
Let i = 1044973/55 + -18999. Let u = i - -4721/990. Find the common denominator of u and -17/144.
144
Suppose 6*i - 12 = -0*i. Suppose 3*j - i*j + 5*m = -57, 5*j + 243 = -4*m. Find the common denominator of -1/22 and (4/8*j)/(-3).
66
Suppose -282 = 10*u - 16*u. Suppose -8 + u = j + 4*x, -66 = -2*j - 4*x. Calculate the lowest common multiple of 9 and j.
27
Let m = 26925/8 + -3377. Let j be (-387)/(-16) - (1 + -1). Let v = j - -165/16. What is the common denominator of m and v?
8
Let k = 52 + -49. Let d be (-1)/(k/13)*-9. Suppose -3*o - 2*l + d = -l, 2*o + 2*l - 30 = 0. What is the lowest common multiple of 12 and o?
12
Let j = 9715301/147 + -66090. What is the common denominator of -50/441 and j?
441
Suppose 0 = 3*m + 4*z + 340, 0 = m - 4*z + 135 + 5. Find the common denominator of -65/2 and ((-2)/(2*-2))/(m/2544).
10
Let b = -315737/29 - -10886. Let v = -44 - -39. What is the common denominator of b and 387/(-18)*1/v?
290
Let b = 19223/20952 + -185/216. What is the common denominator of 59/72 and b?
6984
Suppose 6 - 60 = 3*o. Find the common denominator of 3/(-8) + 7 + 9 + o and 186/(-15)*(-30)/16.
8
Let o = -1143355/1908 - -5390/9. What is the common denominator of o and -23/8?
424
Let j = -11703911/190 + 61599. Find the common denominator of 491/28 - 2/7 and j.
380
Suppose 2*w + 427 = 451. Let x(c) = -3*c**2 + 31*c + 61. Let h(q) = -q**3 - 3*q**2 + 4*q + 5. Calculate the least common multiple of x(w) and h(-4).
5
Let v = 1002097/72 - 13920. Find the common denominator of v and -29/27.
216
Suppose -26*i = -416 - 52. Calculate the smallest common multiple of i and 426.
1278
Suppose 0 = -5*q - q + 210. Suppose 0 = 22*a - 26*a - i + 36, 16 = 3*a - 2*i. What is the lowest common multiple of a and q?
280
Let q = -4 - -8. Suppose 4*k = 2*l - 126, q*l + 0*l - 276 = 2*k. Let w = l - 53. Calculate the lowest common multiple of 27 and w.
54
Let h = 17135119/118590 + -9684/67. Calculate the common denominator of h and -187/30.
1770
What is the common denominator of -31/50 and 3*112/42 + (-345)/50?
50
Let h(u) = 109*u - 2869. Calculate the smallest common multiple of h(27) and 6.
222
Let m be (-6)/(-4)*(-40)/(-15). Suppose -m*a = -a - 99. Suppose 0 = -n - 4*p + 8, -285*n - 80 = -288*n + 2*p. What is the least common multiple of a and n?
264
Let z(u) = u + 2. Let g be z(4). Suppose g*w - 16563 = -3099. Find the common denominator of (-8)/(-2) + (w/80)/(-11) and -9/2.
20
Let p = -36659/15721838 + 140/5627. Find the common denominator of -103/2286 and p.
25146
Suppose 0 = 4*c - 2 + 10. Calculate the smallest common multiple of ((-248)/(-6))/(4/6) - c and 16.
64
Suppose 6*j = j + 360. Let x = -3744/7 + 59939/112. Calculate the common denominator of (-14)/j - 2/(-1) and x.
144
Suppose -2*c - 92*h + 93*h + 6297 = 0, 9448 = 3*c + h. Calculate the smallest common multiple of 235 and c.
15745
Let l = 199877/20 + -9990. Let h = -350333/28 - -12516. Calculate the common denominator of l and h.
140
Let p be ((-342)/(-12))/((-8)/15952). Let a = p - -3409823/60. Find the common denominator of a and -125/78.
780
Let f(r) = -2*r**2 - 15*r - 8. Let x be f(-7). What is the smallest common multiple of 45 and x/(-1) - 3 - -20?
90
Suppose 5*w + 2*p + 1923 = 2*w, -4*p - 12 = 0. Calculate the common denominator of -3 + (264/20)/(-3) and (w/60)/((-9)/(-6)).
10
Let v = 0 - -2. What is the lowest common multiple of v and 3 + 1 + -4 - 8/(64/(-56))?
14
Calculate the least common multiple of (1 + -7)*284984/(-588) and 6.
8724
What is the common denominator of 4/(-70) - (-37)/185 - 8646/14364 and -65/306?
5814
Let k = -1940950 - -244557301/126. Let f = k + 233/21. Calculate the common denominator of 5/18 and f.
18
Let r be (11 - 1)*15/15. Calculate the common denominator of 37/63 and (-24)/r + 4 + (-182)/49.
315
Let a(t) = -199*t + 31. Let l be a(1). What is the common denominator of 133/6 and ((-42)/(-266))/(477/l + 3)?
114
Let y be (-3)/(-6) + (-18)/(-4). Suppose -12 = -y*q + 8. Calculate the lowest common multiple of (66/(-4) - 0)/((-3)/q) and 2.
22
Let j = 59 - 78. Let o = -1 - j. What is the least common multiple of 24/10 + 2/(-5) and o?
18
Let b(w) = 21*w + 6. Let c be b(5). Suppose 0 = -3*y + 93 + c. Suppose t = 2*o + 19, 4*t + 2*o - y = 2*t. What is the least common multiple of 2 and t?
58
What is the common denominator of -169/600 and 10/(-105) - 18164/(-4620) - 5?
6600
What is the common denominator of 1860/(-80)*(-10)/45 and 49/1963?
11778
Suppose -3*g + 2*d = -24, -3*g + 7*d + 27 = 6*d. Calculate the least common multiple of g and 86.
430
What is the common denominator of (-3)/10*235*(-4)/10692 and -41/5346?
5346
Suppose -2*j + 325 = 3*j - 5*z, 0 = -j - 3*z + 85. Calculate the smallest common multiple of j and (-21)/(-2) - (11 + (118/(-4) - -19)).
70
Let j = -118/2975 + -56/425. Find the common denominator of j and -8/1565.
10955
What is the common denominator of (-3)/(-12)*((-35)/(-10) - -7) and 49/579?
4632
Let b = 42 + -188. Let o = 154 + b. Calculate the least common multiple of o and 5.
40
Suppose 0 = -p + 1, 4*p - 412