et b = 51 + r. Find the common denominator of b and (-4)/(-18) + 650/(-36).
30
Let q = -150 - -172. Suppose -2*i + 7 = 3. What is the smallest common multiple of q and i?
22
Let h = -1460 - -39413/27. Find the common denominator of h and -50/21.
189
Let w be 1*-2 + (-8157)/(-4119). Let m = w - 42771/129062. Let n = m + -284/329. Find the common denominator of n and 91/20.
140
Let c(m) = -m**2 + 13*m - 8. What is the smallest common multiple of c(11) and 18?
126
Let a be (-69)/12 + 2/(-8). Let z = a - -8. Calculate the lowest common multiple of z and 16.
16
Suppose 0 = -0*k + 4*k - 4. Let z(b) = b**2 - 6*b - 5. What is the lowest common multiple of k and z(7)?
2
Let w(u) = -u**3 + u**2 + 3*u - 3. Let f be w(2). Let b(d) = -13*d - 1. What is the common denominator of b(3) and 2 + f + (-133)/49?
7
What is the common denominator of -71/9 and ((-88)/72)/(-11)*(-762)/28?
126
What is the smallest common multiple of (4/10)/((-10)/(-25)) and 2?
2
Suppose -5*y = r + 3*r - 90, -2*y = 2*r - 36. Let n(l) = 9*l**3 + 2*l**2 - 1. Calculate the smallest common multiple of y and n(1).
90
Suppose -5*s + 5*c + 26 = -99, -5*c = 15. What is the least common multiple of 4/12 + 345/45 and s?
88
Let f be (662/224 - 1)*-2. Let d = 3699/280 + f. Find the common denominator of d and -8/5.
10
Let k be -1 + ((-1581)/(-6) - 2). Let c = k + -308. Find the common denominator of 4/6 - (-418)/(-60) and c.
10
Let v = 284/827 - 3527798/9097. Let f = v + 386. What is the common denominator of f and -53/11?
11
Let v = 2526 + -27827/11. What is the common denominator of v and -13/8?
88
Suppose -d - 15 = -5*t + 4*d, 4*d - 12 = t. Let h(i) = i**2 + i + 28. Let m be h(0). Let a = 40 - m. Calculate the least common multiple of t and a.
24
Suppose 4*c = -5*o + 176, 0*c - 149 = -4*o + 5*c. What is the smallest common multiple of o and 22?
396
Let b(o) = o + o**2 + 2*o**2 - o**2 + 4*o + 4. What is the least common multiple of -1 + (22 - (1 - 2)) and b(-4)?
176
Suppose 0 = 2*k + 4*c - 26, -4*k + 18 = -2*k + 2*c. Calculate the lowest common multiple of 6 and k.
30
Suppose -63*z = -60*z - 9. Calculate the lowest common multiple of 22 and z.
66
What is the least common multiple of 0 + ((-8)/6)/(8/(-18)) and 6?
6
Let a be 2 + (2 + -1 - 8). Let z(g) = 2*g + 6. Let u be z(a). What is the common denominator of (-2 - u)/(40/186) and 25/16?
80
Suppose -4*n + 2*c = -26, -n - 2*c - 2 = -6. Let s = 12 - n. Calculate the lowest common multiple of (-3)/(-9) - (-41)/3 and s.
42
Let r be 1/2 + 2/(-4). Suppose c + r*c - 5*d - 19 = 0, d + 3 = 0. Suppose 2*u + 88 = c*y, -137 = -5*y - 2*u - 45. What is the least common multiple of y and 2?
20
Suppose 2*d - 18 = -0. Suppose 0 = 5*u - 1 - d. What is the least common multiple of u and 1?
2
What is the smallest common multiple of 4 and 4/2 - (-11 + -1)?
28
Let i = 71/9 + -128/63. Find the common denominator of 43/2 and i.
14
Suppose 2*x + 3*j - 7*j - 8 = 0, -2*j = -5*x + 4. Let d(c) = 4 - 13 - c + x*c. What is the smallest common multiple of d(-10) and 2?
2
Suppose -n - 42 = -43. What is the lowest common multiple of 1/(-1) + 4*3 and n?
11
Let o(u) = u**2 - 3*u - 10. Calculate the lowest common multiple of 16 and o(7).
144
Let j be 2 - (-2 - 7361/(-156)). Let y = -813/26 - j. Calculate the common denominator of y and -143/6.
12
Suppose 0 = -3*j - 4*i + 42, 0 = -3*j + 2*i + 3*i + 69. Calculate the least common multiple of j and 4.
36
Suppose 0 = 32*v - v - 62. Calculate the least common multiple of (-54)/4*(-12)/9 and v.
18
Let j = -86329/18664 - -1/2333. Let x be (-1109)/3 + 2/3. Let r = 2257/6 + x. What is the common denominator of r and j?
24
Let s(l) = -3*l + 2*l**2 + 0*l**2 - 2 + 3. Let v be s(3). Suppose 0 = 2*x - 2 - v. Calculate the lowest common multiple of 14 and x.
42
Let p = -4780680562507/439494364264 - 115/49182449. Let f = p + 3/1117. Calculate the common denominator of 71/14 and f.
56
Let v = 12 + -5. What is the least common multiple of 11 and v?
77
Let r = 5 - 3. Suppose r*j = 10 - 2. Find the common denominator of 2*1 - 66/j and 109/14.
14
Suppose -3*g + 8*g = -20460. Let i = g + 2222. Let m = -5558/3 - i. Calculate the common denominator of m and 41.
3
Let q = -3/896 - -11439/4480. Calculate the common denominator of 109/22 and q.
220
Suppose 2 = g + g. Let c(w) = w**3 + 6*w**2 - 8*w - 8. Let m be c(-7). What is the lowest common multiple of g and 5/3*(7 + m)?
10
Let z be (-40)/(-6)*24/5. Suppose x + z = 4*c, 0 = 3*c + 3*x + 2*x - 1. What is the least common multiple of 8 and c?
56
Let t = -17235 - -861709/50. Find the common denominator of 21/4 and t.
100
Find the common denominator of -82/21 and 0/(-2) + 35/42.
42
Find the common denominator of (32/2 + -5)*(-1)/15 and 151/18.
90
Let k = 22 + -10. Suppose -3*d - 3 = 0, 5*y - 5 - k = -3*d. Suppose y*v - 12 = 12. Calculate the least common multiple of 12 and v.
12
Suppose -2*h + 6*h + 108 = -5*g, -3*h = 6. What is the common denominator of -77/4 and (21/g)/(12/136)?
20
Let n(m) be the second derivative of -m**4/6 + 3*m**2 + 2*m. What is the smallest common multiple of 9 and n(0)?
18
Suppose -3*o - h = 2*h + 15, 4*o = 3*h + 15. Let q be (-2 + 18)*(-5)/(-4). Suppose -6*s + s + q = o. Calculate the smallest common multiple of 10 and s.
20
Let r(w) = -w - 6. Let v be r(-8). Suppose 2*i - v = 4. Calculate the lowest common multiple of i and 9.
9
Let u = 2480249/205260 - 2/17105. What is the common denominator of 79/2 and u?
12
Suppose 0 = -q + 2*q - 18. Let g be 2/(-9) - (-58)/q. Calculate the least common multiple of (-28)/(-3) + 2/g and 11.
110
Let y(s) = 5*s**2 + s. What is the lowest common multiple of y(1) and 178?
534
Suppose -2*v - 5*k + 3 = 0, 0*v + 4*v + k - 15 = 0. What is the smallest common multiple of 2/17 - (-2265)/255 and v?
36
Let m(a) = 2*a**2 - 6*a. Let n be m(3). Suppose -4*r - 3*h + 23 = 0, 3*h - 1 = 2. Suppose n = -r*k + 15 - 0. Calculate the least common multiple of 8 and k.
24
Let m be (-1)/(-2) + (-97026)/(-4851). Let r = m - 2/1617. Calculate the common denominator of r and 17/5.
10
Let i(b) = -b**3 - 8*b**2 - 8*b. Let l be i(-7). Let f be 4/14 - 9/l. Find the common denominator of 77/10 and (-110)/16 + 0/f.
40
Let h = 65465843/192 - 340974. Let u = h - -15/64. Let b = -5155/3 - -6923/4. Calculate the common denominator of b and u.
12
Find the common denominator of 214/(-22)*(-2)/(-4) and (45/200)/(2/4).
220
Let x be 2/(-8) - (-42404)/(-336). Let u = x - -751/7. What is the common denominator of -35/18 and u?
18
Let d be (-8581)/(-30) - 4/(-6). Let r = d + -1418/5. Find the common denominator of r and (-2)/6 + 158/24.
20
Let q(z) = -z**3 - 2*z**2 - z + 1. Let l(n) = -n**3 - n**2. Let d(u) = -5*l(u) + 4*q(u). What is the smallest common multiple of 2 and d(4)?
4
Let b be (-126770)/(-180) + 2/9. Let p = b + -722. Let s = 13805/8 - 1733. What is the common denominator of s and p?
8
Let r be (5/(-4))/((-4)/16). What is the common denominator of -59/20 and (((-4545)/(-12))/r)/3?
20
Suppose -2 = x - 6. Calculate the common denominator of 6/30 - 18/x and 125/12.
60
Let o = -413/6 - -574/9. Find the common denominator of o and -45/4.
36
Let b = 1991 - 173224/87. Calculate the common denominator of 17/4 and b.
348
Let u(v) = -7*v. Let l = -5 + 2. Let h be u(l). Suppose -3*g + 28 = 5*d, -5*d - 6 = -2*g + h. What is the least common multiple of g and 6?
66
Let n be 155/20 + (-1)/(-4). Let g(p) = -10*p**2 + 2*p + 1. Let i be g(-1). Find the common denominator of (-2)/n - i/(-10) and -21/8.
40
Let m be 53*2*(-8)/(-4). Let b = m + -373/2. What is the common denominator of b and 59/14?
14
Let m(u) = -11*u**3 - 6*u**2 - 3*u + 4. Let w be m(-6). Let l = -24019/11 + w. What is the common denominator of -65/2 and l?
22
Let b(w) = w**2 - 3*w + 3. Let n be b(4). What is the lowest common multiple of 192/14 - (-2)/n and (-9)/(-1) + (-11 - -14)?
84
Let w be ((-16)/(-4))/((-1)/(-1)). Calculate the common denominator of 127/12 and ((-6)/w)/(36/(-28)).
12
Suppose 5*t - 22 = -i, -5*t = i - t - 25. Calculate the common denominator of -89/4 and 6/32*i/3.
16
Suppose 13 = 3*u - 5*i, 3*u - 2*u = -5*i + 11. Suppose -u = 5*o + j - 56, 5*o + 3*j - 50 = 0. Let t = 16 - o. Calculate the smallest common multiple of t and 9.
18
Let m = -224 + 410. Calculate the common denominator of 23/4 and (-1)/1 + m/15.
20
