8)/(-63))/(-2)).
66
Let c(i) = -i**3 - i**2 + 10. Let k be c(0). Let t = -40/49 + 6493/3332. Calculate the common denominator of t and k/(-12)*(-918)/(-120).
136
Let p = 147111/26 + -5661. Calculate the common denominator of p and -71/234.
234
Let y = -9 + 12. Suppose 0*d = -y*d - 132. What is the common denominator of -59/12 and (d/6)/((-24)/(-16))?
36
Let g = 18905511/437 - 43262. Calculate the common denominator of -87/38 and g.
874
Let g(u) = -2*u**3 - 7*u**2 - 160*u - 621. Let q = -68 - -103. Calculate the smallest common multiple of g(-4) and q.
35
Let t(v) = v**3 + 11*v**2 + 6*v + 24. Calculate the least common multiple of t(-9) and 242.
1452
Let k be ((-3067051)/78)/(3207 + 3). Let j = 2/4815 - k. What is the common denominator of j and 47/24?
24
Let i(y) = -2*y + 3*y**3 + 10*y - 4*y**3 + 4*y**2 + 0*y**3 - 13. Calculate the least common multiple of i(5) and 20.
20
Let n = -88511351/546 - -162109. Calculate the common denominator of n and 41/9.
1638
Let n = 921 - 910. Suppose 0 = 18*f - 11*f - 182. Calculate the lowest common multiple of f and n.
286
Let h = 8177549/264718230 - 1/74991. Calculate the common denominator of h and -13/50.
17650
Let w(u) = u**2 - 4*u + 6. Let l be (-2)/(-5) - 8/(-5). Let s be 3 - (-3)/3 - (l + -2). Calculate the smallest common multiple of w(s) and 4.
12
Let d be (2 + -6)*1030/(-40). Let a = d + -3389/32. Let i = 4526 + -126743/28. What is the common denominator of i and a?
224
Let i = -94 - -147. Let g(u) = -110*u - 6 + 54*u + i*u. Calculate the least common multiple of 25 and g(-3).
75
Let l = 1354991/230664 - -20/28833. Calculate the common denominator of l and ((-69)/(-78))/((-1)/3).
104
Let b = 1628 + -1244. Calculate the smallest common multiple of 48 and b.
384
Suppose -21*a + 4*a + 595 = 0. Let j = a - 28. What is the least common multiple of j and 2?
14
Let q(t) = -2*t - 7. Let p be q(-9). Let f(x) = x**3 + 10*x**2 - 9*x + 24. Let r be f(-11). Suppose p = r*b - 5. What is the lowest common multiple of b and 10?
40
Let n = -24600 - -2878157/117. Calculate the common denominator of n and -85/52.
468
Let w = 47080/7 - 27306547/4060. Calculate the common denominator of 89/464 and w.
2320
Suppose 205 = 122*x - 117*x. Suppose -x - 127 = -3*t. Calculate the smallest common multiple of t and 88.
616
Let k be 3*(4 + (-1)/(9/42)). Let s be k/8 - 403/(-124). Suppose -s*o + 2*v + 7 = 0, -2*o + 11 = -0*v + 5*v. Calculate the lowest common multiple of 29 and o.
87
What is the common denominator of 29/77 and (-57)/475*(-15)/9 - 247/(-315)?
693
Suppose y + 4 = 0, y - 3 = -2*g + 77. Let l = g + -137/4. What is the common denominator of l and (-324)/42*(-9)/12?
28
Let a = -1535269/122 - -12584. Let s = -2/209 + 25301/1254. Calculate the common denominator of s and a.
366
What is the common denominator of 11/6 and (-5)/525*(-2920)/1648?
4326
Suppose -4*o - 3*v + 19 = -8, 11 = 2*o - v. Suppose -l + 18 = s, 3*l + 4*s - 58 = -o. Let z(p) = -4*p - 28. What is the least common multiple of z(-20) and l?
260
Let p(s) = 3*s + 4. Let r(u) = -7*u + 30. Let l be r(4). Suppose -2*x + 24 = 2*x. What is the lowest common multiple of x and p(l)?
30
Let a = 387025/54006 + 3/9001. Find the common denominator of a and 31/375.
750
Suppose 16*f - 24*f + 2285 + 2819 = 0. What is the least common multiple of 580 and f?
6380
Let p(a) = 10*a**2 + 20*a. What is the lowest common multiple of 1820 and p(-4)?
7280
Suppose -16*r = 5*i - 261, -i = -4*i + 3. What is the lowest common multiple of 134 and r?
1072
Calculate the common denominator of (-3)/(-1) + 79/(-790)*(-632)/(-26) and 25/234.
1170
Let v(w) = -w**2 + 55*w - 558. What is the least common multiple of v(40) and 2358?
16506
Let c = -2990 + 3068. What is the smallest common multiple of c and 312?
312
Let k be 10 - 4 - (6 + 2). Find the common denominator of (1204/(-378))/(k - 372/(-9)) and 73/3.
531
Suppose 3*d = 12*d - 15363. What is the smallest common multiple of d and 30?
17070
Let l be ((-16)/(-6))/(-4)*-27. Find the common denominator of -143/36 and (-1)/l*(-2 - 114/4).
36
Let p = -27 - -31. Suppose p*s = -2*y - 70, 0 = y + 3*s + 2*s + 29. Let u = -9 - y. Calculate the smallest common multiple of 21 and u.
210
Calculate the common denominator of (-56)/((-40320)/2168) + 6/10 and ((-1)/(-10))/((-144)/2180).
72
Suppose 2*s + 0*s = 0. Let o be -10*((-15)/(-3))/(-10). Calculate the common denominator of (-67)/6*(-3 - s/o) and 34/9.
18
Suppose -114*r + 17783 = -4369 + 492. Calculate the least common multiple of r and 50.
950
Suppose -20 = 4*m, 4*r = -m + 5*m + 284. Suppose 0 = -a - 5, 2*a = 5*o - 164 - r. What is the smallest common multiple of 6 and o?
132
Let j(s) be the third derivative of 0*s + 37/6*s**3 - 1/12*s**4 + 7 + 2*s**2. What is the least common multiple of 52 and j(14)?
468
Let k be (-12 - 3)*2/5. Let l(h) = -5*h - 9. Let g(p) = 14*p + 29. Let n(o) = 4*g(o) + 11*l(o). What is the smallest common multiple of 11 and n(k)?
11
Let n(y) = y**3 - 3*y**2 + 4. Let k be 2*((-3)/2 + 0). Let o = -837/4 + 1007/4. Find the common denominator of o and n(k).
2
Suppose 3*l + 2820 = -3*l. Let o = -2903/6 - l. What is the common denominator of 91/45 and o?
90
Suppose 0 = 5*s - z - 17, -s + 2*s + 5*z - 19 = 0. Suppose 0 = -4*n - 12, x + 18 = -3*n + 1. Calculate the least common multiple of s and ((-63)/6)/(3/x).
28
Suppose 18 = i - 4*g, 6*i = 3*i - 5*g - 14. Suppose t + 5*c = 34, -22 = -3*t + i*t - 2*c. Calculate the smallest common multiple of 18 and t.
126
Let x(a) = -11*a - 20. Let f be x(-11). Suppose 3*m + 32 - f = 0. What is the smallest common multiple of 74 and m/3 + 3 + (-56)/21?
296
Let o be -2*(3/3)/1. Let n be 1 + o + (4 - (-45)/1). Find the common denominator of ((-8)/n)/(5/122) and 17/4.
60
What is the common denominator of 103/1834 and (2 - (-310)/(-154))*(-5)/(-40)*4?
20174
Let q(y) = y**2 - 4*y - 1. Let g be q(-1). Suppose -g*f - 50 = -2*s - 2*f, -5*s + 143 = f. Calculate the lowest common multiple of s and 12.
84
Let k be 5 - 6 - (-237)/(-135). Let w = 166/45 - k. Let y = -43661/9603 + 1/873. Find the common denominator of y and w.
99
Let u(b) = -b**3 + 11*b**2 + 14*b - 11. Let l be u(12). Suppose -k - l = -17. Let g(x) = 5*x - 16. What is the smallest common multiple of g(k) and 4?
4
Suppose -4*y + 3*c + 0*c = 20, -3*c + 5 = -y. Calculate the smallest common multiple of -10*(12/3 + y) and 10.
10
Let v be ((-7)/(4116/203982905))/2. Let q = 173454 + v. Find the common denominator of q and -52/9.
504
Let n(q) = q**3 - 16*q**2 - 2*q + 42. Let a be n(16). Suppose 0 = 24*c + a - 106. Calculate the least common multiple of c and (0 - -4)/(2/4).
8
Let a = 2483/20 - 682/5. Suppose 5*g - 264 = 4*g - k, 3*k - 1312 = -5*g. Find the common denominator of a and ((-3)/10)/(24/g).
4
What is the common denominator of 4*1 + (-263)/88 and -2*164/(-6292) - 8/104?
968
Suppose -n + 44 = -3*y, -23 = -3*n - 3*y + 109. Calculate the lowest common multiple of 10 and (-3)/(-66)*-4 - (-11360)/n.
1290
Calculate the common denominator of (8/(-6))/(116032/(-7548)) and 2/(-5) - (-1948)/720.
1764
Let d be ((-16)/(-80) + 7/(-10))*6. Let m(j) = -j**3 - 5*j**2 - 13*j - 17. What is the smallest common multiple of m(d) and 24?
24
Suppose 141*w + y = 145*w - 15, 0 = -4*w - 5*y + 21. What is the smallest common multiple of w and 756?
756
Let t(b) = 2*b - 10. Suppose 2*x + 32 = -12. Calculate the least common multiple of x/(-14) - 3/(-7) and t(9).
8
Let a = -2229/5 - -26263/60. Calculate the common denominator of a and ((-1)/20)/((-2184)/(-96915)).
96
Let k = 304733/1098639 + -10/18621. Let b = 5/149 + -10595/4917. Calculate the common denominator of k and b.
1947
Let y(q) = 16*q - 18. Let z be y(1). Calculate the common denominator of (z/32*45)/((-9)/(-18)) and 11/28.
56
Suppose 26*q + 1128 = 30*q. Suppose -318 = -4*u - q. Calculate the lowest common multiple of u and 32.
288
Let c(a) = -31*a + 146. What is the smallest common multiple of 159 and c(4)?
3498
Let g = 36699 - 5468079/149. Let r = -5923/2235 - g. Calculate the common denominator of 7/22*(-10)/3 and r.
165
Let l = -143 + 146. What is the common denominator of 8622/1512 - l*(-2)/(-21) and 149/30?
60
Let a be (2 - -1) + (-4)/33. Let w = -126/11 - a. Let v = 1910 - 5782/3. Find the common denominator of w and v.
3
Suppose -197*g + 198*g - 34 = 0. S