17 = 3*y - 28. What is the common denominator of 41/8 and 2/32*y - 2?
16
Let i(t) = -t**2 - 11*t - 14. Let f = -19 - -9. Let b be i(f). Calculate the common denominator of 93/4 and (-555)/504 + b/(-28).
24
Let b be (-2)/10 + (-24)/5. What is the least common multiple of 10 and (-108)/b - 2/(-5)?
110
Calculate the common denominator of -9/16 and (-25 - 0/(-2))*41/(-246).
48
Suppose j = 3*r - 7, 0*j - 3 = -2*r - j. What is the common denominator of -19/20 and 84/80 - r/(-10)?
20
Suppose -4*g + 8*i = 4*i - 252, 255 = 4*g - 5*i. Calculate the smallest common multiple of g and 45.
180
Suppose -4*n = -6 + 2. Let b be 11*(3/n + -13). Calculate the common denominator of 14/8*b/45 and 21/2.
18
Let t = 1680682/7 + -239624. Let f = t + -469. What is the common denominator of -31/2 and f?
14
Suppose 384 = -0*p + 3*p. Find the common denominator of 0 + (-2)/(p/74) and -21/8.
32
Calculate the common denominator of 0 - (84/(-20))/(-1) and (-75)/2*(-5)/9.
30
Suppose -8 = -t - 2. What is the smallest common multiple of t and 33?
66
What is the common denominator of 23/2 and ((-49)/6)/((-19)/(-57))?
2
Let q = -2 + 6. Suppose d - q*d = -48. Calculate the smallest common multiple of d and 6.
48
Let a be 2/(-3) - 157/(-252). Let x = a + 6101/252. What is the common denominator of x and -95/2?
6
Let h = -4617 + 55369/12. Let v(i) = 6*i**3 - i**2 + 1. Let p be v(1). Calculate the common denominator of 695/5*1/p and h.
12
Let l = 2 - 3. Find the common denominator of (-362)/(-36) - (l - -4) and -115/6.
18
Let x be (-2)/((-6)/(-146505)*5). Let o = x + 214921/22. What is the common denominator of -83/18 and o?
198
Calculate the lowest common multiple of (5 - (-2 + -1)) + 0 and 12.
24
Let z be (-3 - 0)/((-24)/16). Let u be (-8)/(-3)*(z + -5). Let a(s) = s**3 + 8*s**2 - s - 6. What is the smallest common multiple of a(u) and 12?
12
What is the common denominator of 67/(-35) + (38/(-10) - -4) and 37/19?
133
Suppose -4*d = a + 3*a + 5316, -4*a + 4*d = 5316. Let o = 13303/10 + a. Calculate the common denominator of (-1)/(-3) - (-158)/84 and o.
70
Let k = -1946/5 - -21546/55. Suppose -2*j - 26 = -3*m + 56, -54 = 2*j + 4*m. Calculate the common denominator of (-1 + -4)*(-4)/j and k.
77
Let n(s) = -s**3 + s**2 + s - 1. Let g be n(0). Find the common denominator of g + 27/6 + -2 and -53/10.
10
What is the least common multiple of 8/(-4) + 9 + -4 - -7 and 30?
30
Let z = -4/307 - -20625/4298. Calculate the common denominator of z and 121/36.
252
Suppose -3*f - 2*o + 3*o = -11, -5 = -f - o. What is the lowest common multiple of f and 14?
28
Suppose 4*l + 0*l + 5*h = -456936, -l = 3*h + 114234. Let k be ((-6)/(-756))/(244/l). Let w = 1/732 + k. Find the common denominator of w and 95/2.
14
Let u = 36 - 22. What is the least common multiple of 12 and u?
84
Calculate the least common multiple of 3/(3/(-48)*-6) and 9.
72
What is the least common multiple of 8 and 107/6 + 3/18?
72
Let i be (1 - 1) + 67823/(-11). Let o = i + 6170. What is the common denominator of o and 9?
11
Let o = 6758 + -121703/18. Calculate the common denominator of -39/14 and o.
126
Let j = 10310 - 123625/12. Calculate the common denominator of j and 61/24.
24
Suppose -a - 4 = -0*h - 2*h, 4 = -h + 2*a. Let j = 3 + -1. Calculate the smallest common multiple of h and j.
4
Let y = -35 - -62. Find the common denominator of 2 + 1/(y/(-156)) and -15/8.
72
Calculate the common denominator of ((1/24)/(-1))/(4/498) and -81/10.
80
Let q = -14473/35 - -2184/5. Let d = 1399/70 - q. What is the common denominator of d and -115/12?
60
Let b = 1/109 - 2947/436. Find the common denominator of b and 27/4.
4
Let q = 51535/12 + -4258. Let a = -85/4 + q. Find the common denominator of a and 103/10.
30
Let p(o) = o**3 - 7*o**2 + 6*o. Let l be p(6). Let n(r) = -r**3 + r**2 + r + 18. What is the lowest common multiple of 20 and n(l)?
180
What is the common denominator of 61/3 and 1/(-6) - (-2)/((-144)/(-399))?
24
Calculate the common denominator of 22 and 2 - (115/20 + -3).
4
Let w = -20 + 74. Calculate the smallest common multiple of 66 and w.
594
Let c(p) = -2*p**3 + 5*p**2 - 5*p + 7. Let i(s) = 2*s**3 - 4*s**2 + 4*s - 6. Let d(z) = -5*c(z) - 6*i(z). Calculate the lowest common multiple of d(-2) and 7.
77
What is the common denominator of ((-121)/(-7))/((-144)/(-42)) and -149/18?
72
Let j = -198923/12 + 16565. Find the common denominator of j and -43/33.
132
Let v = 25 - 3. Let z = v + -8. Suppose p - 35 = -13. What is the smallest common multiple of z and p?
154
Let u = 380 - 3791/10. Find the common denominator of u and ((-6)/9)/(4/(-95)).
30
Suppose 0 = -4*i - 5*d + 6, 0*i - i + 14 = -5*d. Let a = -12 + i. Calculate the common denominator of a and -52/3.
3
Let l be (-2)/9*(-10226)/(-4). Let a = l + 564. What is the common denominator of a and 41/8?
72
Let i = 1370/9 + -14755/99. Let a = 3/787 + -70049/1574. What is the common denominator of a and i?
22
Suppose -4 = 17*c - 18*c. What is the smallest common multiple of c and 16?
16
Let a = 62 + -11. Let t = -31 + a. Calculate the smallest common multiple of t and 15 + -1*(3 + -2).
140
Let p = 6 + -3. Let n(i) = 4*i - 5. Let h be n(2). Suppose 2*r + 9 = h*r. What is the least common multiple of p and r?
9
What is the common denominator of (78/80)/((-6)/4) and ((-89)/(-15))/((-6)/5)?
180
Calculate the common denominator of -4 + 348/40 + 3 and 17/18.
90
Let j = -5 + 9. Calculate the smallest common multiple of 216/10 + 4/10 and j.
44
Suppose 5*y + 6 + 14 = 0, 0 = 3*w - 2*y - 17. Let p = 1417 + -11309/8. Let v = p - w. Calculate the common denominator of v and 17/7.
56
Let j = -3/24832981 - -2863416540947/6456575060. Let u = j + -5844/13. Find the common denominator of 95/8 and u.
40
Let o be (5 + -7)/(2/(-20)). What is the common denominator of -83/14 and 2 - 66/o - -3?
70
Let o be -3 + 7 - (3 - 1). Calculate the least common multiple of (4/6)/(o/36) and 16.
48
Let a(c) = -c + 6. Let u be a(7). What is the common denominator of 121/10 and (-876)/48*u/(-2)?
40
Let q(p) = 1 + 1 + p**2 + 10*p + 10. Let n(m) = 3*m**2 + 31*m + 36. Let f(h) = -3*n(h) + 8*q(h). Calculate the least common multiple of 6 and f(-10).
18
Let o = -2018 - -24091/12. Find the common denominator of o and 89/6.
12
Suppose -3*p + 0 + 30 = 0. Let f be p/(-155)*(-2)/9. Let n = f + -21491/558. Find the common denominator of -121/18 and n.
18
Let b = 6 - 2. Suppose -4 = -b*w, -4*h + 2*w = -2*h. What is the least common multiple of h and 1 - (-21)/(-6)*-2?
8
Calculate the common denominator of -4 + (-74)/(-6) + -4 and 45/7.
21
Let q be (-7)/(-1)*(-12)/7. Calculate the common denominator of 64/14 + 1 - 0 and ((-16)/q)/(1/(-2)).
21
Let v = 1/12293 - -73595/2003759. Let h = v + 1087/1467. Find the common denominator of 6/5 and h.
45
Let p be 2/(-4)*-6*1. Suppose 2*c - f + 2 = 20, f + 27 = p*c. Suppose 3*u + u - 4 = 0. Calculate the least common multiple of u and c.
9
Suppose -4*v - 4*r = -424, r + 2*r + 114 = v. Let c be ((-1)/(-1) - v)*1. Calculate the common denominator of c/(-12) - (-2 + 1) and 97/8.
24
Let p be 2 + (-6)/3 + 0. What is the lowest common multiple of 20 and (1 - p)/(2/40)?
20
Calculate the common denominator of 77/20 and (34/(-3))/(360/(-189)).
20
Calculate the common denominator of -51/25 and ((-254)/(-40) - 0) + (-2)/(-8).
25
What is the least common multiple of 5 and 6 + (-3 - (0 + 0))?
15
Let d be (2181/12)/(2/16). Let t = d + -8843/6. Calculate the common denominator of t and -1*-107*1/14.
42
Suppose -p - 5*h - 14 = -35, -4*p + 54 = 5*h. Suppose 0 = 5*s - 2*s - 93. What is the lowest common multiple of p and s/4 - (-27)/(-36)?
77
Let s = -367/2 + 169. Calculate the common denominator of -39/14 and s.
14
Let j be 11/11 + 349*-7. Let l = 24401/10 + j. What is the common denominator of 99/4 and l?
20
Let h be (-12)/8 + (-2)/(-4). What is the common denominator of 83/2 and (-19)/(-11) + h/2?
22
Let g be (-1 - 1) + 345/(-16). Let k = g + 23. Let i = -221/48 + k. Find the common denominator of 81/14 and i.
42
Let z be -1 + 1 + (5 - 3). Suppose 7 - 1 = z*q, 4*w - 2*q + 2 = 0. What is the smallest common multiple of w and (-2)/3*(-10 - -1)?
6
Let x = -15 + 29. Suppose -4*c + 11 = 5*a, 0*a + 10 = 2*a - 4*c. Let i = x - a. Calculate the least common multiple of i and 10.
110
Let o = 22 + -43. What is the common