72
Suppose 0 = -2*x + d - 3*d + 104, 0 = -2*x + d + 116. Calculate the common denominator of -31/10 and 4/14 + 810/x.
20
Calculate the common denominator of 81/16 and 4/(-26) + (-1886)/(-2288).
176
Let n = 24/425 - -30881/2550. Suppose 2*a - 18 - 6 = 0. Let p = n - a. Calculate the common denominator of p and -101/8.
24
Let l(w) = -w**3 + w**2 - 3*w + 3. Let h be l(2). Suppose -25 = -4*k + 83. Let m = k + h. Calculate the smallest common multiple of m and 6.
60
Suppose -5*t + 4*g + 58 = 0, 0 = 3*t - 0*g + 2*g - 48. What is the least common multiple of 18 and t?
126
Suppose -g + 2 = -1. What is the common denominator of -131/6 and 450/8*g/18?
24
Let m = -2203643057/146430252 + -42337/60309. Let c = 2/1821 + m. Calculate the common denominator of c and -81/4.
4
Let n(f) = f**2 - 3*f + 4. Calculate the least common multiple of 5 and n(2).
10
Suppose -5*p - 43 = -4*v, 5*v - 4*p - 41 = -2*p. Suppose -3*w = -1 - 2, -4*w = 4*s - 468. What is the smallest common multiple of (-2)/v - s/(-14) and 4?
8
Let j(y) = -y**2 + 2*y - 87. Let u be j(0). What is the common denominator of 6/16*u/(-9) and 52/9?
72
Let b(j) = 3*j**2. Let k be b(-1). Suppose -2*x - 10 - 8 = -k*o, -5*o + 31 = -3*x. Find the common denominator of ((-2)/o)/((-20)/72) and 47/12.
60
Let n = 34925/9 - 3876. Suppose -j - 390 = 4*j - 5*x, -327 = 4*j + x. Calculate the common denominator of n and ((-1)/(-2))/(j/468).
9
Let j(r) = r**3 + 4*r**2 - 6*r - 4. Let t be j(-5). What is the common denominator of (255/66 - t) + 2 and -59/10?
110
Find the common denominator of (-6)/2 - 261/30 and 35/18.
90
Suppose 190 = -o + k, o = 3*k - 294 + 102. Find the common denominator of 29/21 and o/12 + 18/6.
84
Suppose -3*g + 80 = g. Suppose -j + 6 = -4. What is the least common multiple of g and j?
20
Calculate the common denominator of -85/12 and -1 + (475/2)/(-5).
12
Let s = 704/23 - 5/46. Suppose 0 = -4*m + 3*l + 57, 4*m - 6*m - l = -41. Calculate the common denominator of s and 2/6 + (-85)/m.
18
Let i(o) = 9*o**3 + o**2 - 4*o + 8. Let v be i(-6). Let n = 30047/16 + v. Find the common denominator of (-4)/14*194/(-8) and n.
112
Suppose 1 = -4*k + 9. Suppose 3*j = -k*h + 72, -6*j + 3*h = -j - 101. What is the smallest common multiple of 16 and j?
176
Let i = 23 + -14. Let c(p) = -p**2 - 4*p + 3. Suppose 5*o + 8 = -7. What is the least common multiple of i and c(o)?
18
Let t = -5 + 5. Suppose t - 4 = x. Calculate the least common multiple of 9 and (2/x)/(2/(-24)).
18
Suppose 3*n - 12 = 18. Let w(h) = -5*h**3 - 2*h**2 - h. Let k be w(-1). Suppose 5*g = 10, j + k*g - 4 = 6*g. Calculate the least common multiple of j and n.
40
Let c be ((-3)/(-9))/(1/9). Suppose 2*a = -2*m + 30, -m - 3*m - 80 = -c*a. Calculate the lowest common multiple of a and 6.
60
Let l = -10 + 12. Calculate the least common multiple of l and 20.
20
Let l be (-4)/16 - 15418/4. Let h = l + 3874. Find the common denominator of -27/11 and h.
44
Suppose -3*c = c - 12, 3*c = -x + 11. Let l(o) = -o**3 - 5*o**2 + 4*o - 5. What is the smallest common multiple of (1/(-2))/(x/(-24)) and l(-6)?
42
Find the common denominator of -29/16 and 7/35 - (-357)/90.
48
Let f(i) = -i**3 + 2*i + 10. Calculate the smallest common multiple of f(0) and 5.
10
Find the common denominator of (-408)/16*(-10)/(-36) and -99/20.
60
Suppose 390 = -4*b - b. Let q = 117/602 - 79/43. What is the common denominator of (-11)/12*b/9 and q?
126
Find the common denominator of 938/120 - 4/10 and 29/2.
12
Suppose 2*d + h + 1364 = 0, -h = -4*d - 0*d - 2722. Let t = 6723/10 + d. Calculate the common denominator of -113/20 and t.
20
Let u = -3 + 1. Let o(j) = -j**2 - 3*j. Let m(l) = -5*l**2 - 13*l + 1. Let q(h) = u*m(h) + 9*o(h). What is the smallest common multiple of q(-4) and 20?
180
Let d = 2563 - 20529/8. Find the common denominator of 71/22 and d.
88
Suppose 0 = w + c + 8, -4*w + 5*c - 24 = 35. What is the common denominator of -1/8 and 0 + -3 + w/3?
24
Let f = 2 + 2. Let o = -15 - -24. Calculate the least common multiple of (45/6)/(o/12) and f.
20
Let p be 0*((-1)/2)/1. Suppose -3*i - 741 = -p*i. Let x = i - -485/2. Find the common denominator of 121/6 and x.
6
Let s be (-21)/(-9) + (-2)/6. Let t(w) = -w**2 + 4*w + 3*w**s + 4 - 3*w**2. Calculate the lowest common multiple of t(4) and 11.
44
Let c = 1 - -5. What is the lowest common multiple of (20/1)/(4 + -2) and c?
30
Let p = 2/14969 - 37826673/74845. Let x = p + 40277/80. Calculate the common denominator of 2/(-6) - 364/240 and x.
80
Let p = -2 + 4. Let g be (-10 + 4)*3/p. Find the common denominator of -21/8 and (-144)/21*3/g.
56
Suppose -3 = -0*q - 3*q. Let g = q - -7. What is the lowest common multiple of 18 and g?
72
Suppose -2*y = -3*j - 43 + 15, 3*y + 4*j - 25 = 0. Suppose 4*u = -5*i - 0*u + 28, -3*i = -u - 27. Calculate the least common multiple of i and y.
88
Suppose 6 = 5*b + 21. Let k = 5 + b. Let j(w) = 4*w - 3. What is the lowest common multiple of j(2) and k?
10
Find the common denominator of (-4)/(-24)*(-184)/(-2) and (-12)/8*(-94)/33.
33
Let k(l) = 2*l + 5*l + 3 - l**2 + 0 + 1. Suppose 0 = r + r - 20. Calculate the least common multiple of k(6) and r.
10
Suppose -2*z = 3*r - 15, 0*r + 2*z = r - 13. Let c = 32 + -11. Let o = c - r. Calculate the least common multiple of 22 and o.
154
Suppose 4 = -l + 2*h, -l + 2*l - 4*h + 6 = 0. Calculate the common denominator of 145/12 and (-3868)/240 + l/15.
12
Let u(k) be the third derivative of k**4/24 - k**3/6 + k**2. What is the smallest common multiple of u(9) and 7?
56
Calculate the common denominator of 1*15*50/(-165) and -36/7.
77
Let h = 32 + -23. What is the smallest common multiple of 9 and h?
9
Suppose -81 = 5*r - 1. Let v be 2 - 1 - (-29)/2. Let b = r + v. What is the common denominator of 33/7 and b?
14
Let r be -2 + 0 - (-1 - 3). Suppose -2*h + 6 = -2. Suppose -r*p = -h*p + 8. What is the least common multiple of 3 and p?
12
Let i = 1594/5 + -6031/20. What is the common denominator of 57/8 and i?
8
Suppose 4*j = 8*j - 12. What is the common denominator of 152/(-21) - j/9 and 13/2?
14
Let d = 13491574279/110 - 122649848. Let r = -4127/5 + d. Find the common denominator of 6/15 + (-237)/180 and r.
132
Find the common denominator of -37/11 and (13/((-2145)/290))/((-4)/6).
11
Let j = 32483/20 - 1618. Calculate the common denominator of j and -143/18.
180
Suppose -4*z - m = -48, 3*z + z - 4*m - 28 = 0. Suppose -z = 5*s - l + 9, -l - 16 = 4*s. Let y = s - -15. What is the lowest common multiple of y and 2?
22
Let h(j) = j**2 - j. What is the least common multiple of h(-2) and 10?
30
Let g be -1 - 1 - 2217/(-1107). Let f = g + 9959/1476. What is the common denominator of f and 0/(-2) - 202/(-20)?
20
Let p be (5/4)/((-2)/(-16)). Suppose -3*w + w + p = 0. What is the least common multiple of 6 and w?
30
Let s(c) = 2 - 4 - 5*c**2 + 6*c**2. What is the least common multiple of 11 and s(2)?
22
Let k = 5195/6 + -2540/3. Let c be 2/(-132)*(-1282)/(-8). Let y = c - 5/528. What is the common denominator of y and k?
48
Let i = -343/138 - 1/69. Calculate the common denominator of (5/(5/(-5)))/((-4)/5) and i.
4
Let o(v) = -7*v + 1. Let f be o(-1). Calculate the least common multiple of (0 + -2)/(2/(-8)) and ((-5)/(-4))/(2/f).
40
Let w(y) = y**2 + 5*y + 6. Let a be w(-4). Find the common denominator of ((-4)/(-27))/(a/(-111)) and (-554)/117 - (-10)/(-325)*5.
9
Let r = -3 - -10. Suppose -22 = -3*k - r. Suppose v + 0 - 9 = -x, -x = k*v - 29. Calculate the smallest common multiple of x and 18.
36
Let f = 18625/4 + -4681. Calculate the common denominator of f and 51/20.
20
Suppose -2*s = 2645 - 855. Let u = 5401/6 + s. Calculate the common denominator of -85/8 and u.
24
Let s(b) = b - 3. Let f be s(9). What is the common denominator of 17/12 and 19/(-8)*f/12?
48
Let f(o) be the first derivative of 2*o**3/3 + o**2/2 - o + 1. Suppose -10 = k - 6*k. Calculate the smallest common multiple of f(k) and 8.
72
Calculate the common denominator of 3645/(-1300) - (-2)/13 and -69/2.
20
Let b be (1 + 1191/(-2))*4. Let u = -1364 - b. Let k = u + -7075/7. Calculate the common denominator of -23/8 and k.
56
Suppose 4 = 5*a - 2*r, 4 = -4*a + r + 6. Suppose -f + 3 + 11 = a. Calculate the smallest common multiple of f and 22.
154
Let s be (-773838)/20*(-2)/12. Let b = 6450 - s. What is the common deno