
5
What is the common denominator of -2 + 0 - 136/(-44) and -43/3?
33
Let t(x) = 3*x**2 - 2*x + 1. Let r be t(1). Find the common denominator of 64/3 and 78/r*(-11)/(-165).
15
Let w(r) = -r**3 + r**2 - r + 24. Let j be w(0). Calculate the common denominator of 2/9 and 4/j + 411/(-198).
99
Let h = 1/1538 + 46887/33836. Calculate the common denominator of -87/8 and h.
88
Suppose 2*r + 10*t - 5*t + 1 = 0, -r - 2*t = -2. Let x = 2 + 20. Calculate the smallest common multiple of r and x.
132
Let a be (-2)/(-1) + 5/(-1). Let q = a + 0. Calculate the lowest common multiple of 18 and q*(120/9)/(-2).
180
Let u(b) = b**2 - 11*b + 20. Calculate the lowest common multiple of 3 and u(10).
30
Let r = -1 - -10. Calculate the smallest common multiple of 11 and r.
99
Suppose -7*p = -195 + 41. Calculate the lowest common multiple of 124 and p.
1364
Let k be 180/214 + 2 + -3. Let o = k + 3419/642. What is the common denominator of -5/12 and o?
12
Suppose 0 = s - 5*v + 17, 39 = 4*s - s + 3*v. Calculate the lowest common multiple of s and 20.
40
Let v = -235 + 372. Suppose v = 6*i + 5. What is the least common multiple of (1 + 17)/(2 + -1) and i?
198
Suppose -10*j + 10 + 80 = 0. Let s(i) = -i**3 + 6*i**2 - 4*i - 6. Let n be s(5). What is the smallest common multiple of (n - -2)*1*6 and j?
18
Find the common denominator of (-1)/4 + 266/24 and 71/2.
6
Let g(v) = v**2 + 4*v - 5. Suppose -2 = 2*n - 3*n. Calculate the lowest common multiple of 3 and g(n).
21
Let d(c) = -c - 4. Calculate the least common multiple of d(-7) and 10.
30
What is the common denominator of -34/7 and 2/10*4/((-56)/365)?
14
Let r = -8/53 - 580/371. Find the common denominator of r and 1 + -5 - 2*(-489)/108.
126
Suppose -15 - 9 = 2*l. Let n = -5 - l. What is the lowest common multiple of 4 and n?
28
Let m = 26/19 - -863/133. Calculate the common denominator of m and 81/4.
28
Suppose 4*b + s + 52 = 179, 149 = 5*b - 2*s. Let w = -17 + b. Calculate the smallest common multiple of 6 and w.
42
Let a = -13 - -8. Let j be a/25 - 76/(-5). Calculate the common denominator of 18/4 + 10/j and 1/18.
18
Let l(d) be the first derivative of d**3/3 + 5*d**2/2 - d + 1. Let w(q) = q**3 + q**2 - 6. Let h be w(0). What is the least common multiple of 2 and l(h)?
10
Suppose n - 3*n - d - 10887 = 0, 0 = n + 5*d + 5439. Let g be -1 + (5446/n)/(-1). Let c = g + -67373/9527. What is the common denominator of c and -37/10?
70
Let d be (-275998)/4 + (-1)/(-2). Let z = d - -281021/4. Let g = -1265 + z. Calculate the common denominator of 53/8 and g.
8
Let y = -1845 + 20260/11. Calculate the common denominator of y and 165/6 - 1/(-2).
11
Find the common denominator of (-1258)/(-252) - 14/(-49) and -15/14.
126
Calculate the common denominator of -133/6 and (-6)/9 + 507/(-90).
30
Let r = 1704/25 - 35213/550. Find the common denominator of -43/18 and r.
198
Let c be 200/(-11) + 6/33. Let y = 24 + -15. Calculate the least common multiple of y and (-158)/c + (-4)/(-18).
9
Let h = 4 - 2. Suppose 0 = -h*u - 0*u + 40. What is the lowest common multiple of u and 12?
60
What is the least common multiple of 6 and (-158)/(-13) + 12/(-78)?
12
Suppose -3*c - 2*c + 25 = 0. Let m(q) = 3 - 3 - 4 + c*q**2 + 8*q - q**3. Calculate the lowest common multiple of 6 and m(6).
24
Let u be ((-3)/(-6))/(1/2). Let h(o) = o**3 + 8*o**2 + 8*o + 5. Let w be h(-7). Find the common denominator of -109/14 and 102/20 - u*w.
70
Suppose 2 = x - 2. What is the least common multiple of 12 and x?
12
Let p be (-2)/(-6) + 570/(-9). Calculate the common denominator of -57/4 and (-16)/56 + 199/p.
36
Suppose -x = -2*x - 42. Find the common denominator of -101/2 and -1 - 1*57/x.
14
Suppose -g + 12 = 2*g. Suppose g*v = -2*z - z + 74, v = -3*z + 14. Calculate the lowest common multiple of 18 and v.
180
Let t = -105365484/5 + 193240373451/9170. Let z = t + 12/131. What is the common denominator of -133/6 and z?
42
Let r = 8364 + -150599/18. Find the common denominator of (-3)/24*(-158)/(-4) and r.
144
Let b(g) = 19*g**2 - 4*g + 3. Calculate the smallest common multiple of 33 and b(1).
198
Let d(q) = q + 1. Let p be d(1). Suppose -5*o + 5*n - 139 = 76, 90 = -p*o + 4*n. What is the common denominator of o and -37/6?
6
Let f(o) = 2*o + 5. What is the lowest common multiple of 6 and f(-2)?
6
Suppose -4*o = 5*f, 4*f - 5*o + o = 36. Let w be (6/(-4))/(3/f). Find the common denominator of (-97)/18 + (w - -1) and 15/14.
126
Let u be -2 + 4/(-1) - -2. Let y = u + 24. What is the smallest common multiple of y and 20?
20
Let b(f) = -9*f - 1. Let s be b(-1). Suppose -s*x = -9*x + 20. Suppose -1 = -2*z - r + 4, 0 = 2*z + 3*r - 7. Calculate the lowest common multiple of z and x.
20
Calculate the common denominator of 35/6 and (-81)/5*(-7 + (-309)/(-45)).
150
Calculate the smallest common multiple of (0 - 20)/(-18 - -16) and 3.
30
Let n = -14743/6 - -2442. Find the common denominator of n and -2 + 6/32 + 2.
48
Suppose 4*b + 1330 = -b. Let o = -369433/18 + 20519. Find the common denominator of b/132 + (-2)/(-6) and o.
198
Calculate the common denominator of 86*(5/12)/5 and 70/(-42)*(-2)/(-15).
18
Let u = -1700 + 64587/38. What is the common denominator of -16/3 and u?
114
Suppose -4*w + 2*w - 2 = 0, 5*w + 249 = 2*u. Let j = -53 + u. Suppose -5*f - j = 76. What is the common denominator of f and -71/6?
6
Let k = -40 - -62. Calculate the smallest common multiple of 12 and k.
132
Let x = 1 + 4. Suppose -a = -x*d + 48, 2*d = -d + 5*a + 20. Calculate the lowest common multiple of d and 8.
40
Let n = -1 - -2. Let g = n - 33/8. Calculate the common denominator of g and -97/10.
40
Let b = 1790 - 3010. What is the common denominator of 21/8 and b/(-15)*(-1)/8?
24
Suppose -5*p = -p + 3*o - 239, 5*p - 300 = -4*o. Calculate the common denominator of (-2)/(-2 + p/23) and -49/11.
55
Suppose 2*f + 4*y = 26, 1 = 5*y - 19. Let p(o) = o - 5. Let t be p(f). Let b = t + 7. Calculate the lowest common multiple of 10 and b.
70
Let v be (-2 + 1)/(3/15). What is the lowest common multiple of (-66)/(-8) + v/20 and 1?
8
Let f = 3/265 + -4193/530. Find the common denominator of f and -47/20.
20
Suppose -2*o = 7 - 27. Calculate the lowest common multiple of 4 and o.
20
Suppose -184 = -3*c + 524. What is the common denominator of c/48 - (-2)/(-3) and 117/10?
20
What is the common denominator of -101/10 and 54/(-240)*(0 - 4)?
10
Let m(a) = -a + 1. Let k be 7/(1/((-1)/1)). Let v be m(k). Let z(l) = 2*l - 2. What is the smallest common multiple of z(v) and 8?
56
Let o = 2867 + -17101/6. Calculate the common denominator of -47/2 and o.
6
Let p(b) = -2*b**2 + 9. Let a = -1/1892 + -97435/5676. Find the common denominator of a and p(5).
6
Find the common denominator of (0 - 1) + 205/165 + 2 and 50/27.
297
Let w(c) = c**2 - 5*c - 3. Calculate the least common multiple of w(6) and 3.
3
Suppose -4*v + 2*z = -2*z - 60, 4*v - 35 = -z. Calculate the smallest common multiple of 10 and v.
10
What is the common denominator of ((-6)/(-33))/((-8)/146) and -61/14?
154
Let c(z) = 2*z - 7. Let m be c(5). Suppose 4*k - 43 = r, -5*r + m*r + 14 = 2*k. What is the lowest common multiple of k and 10?
10
Suppose 0*c - 3*c - 50 = -5*p, -3*c - 36 = -3*p. What is the smallest common multiple of ((-10)/6)/(2/(-6)) and p?
35
Suppose 2*a + 3*w - 13 = 2*w, 0 = 4*a - 5*w - 33. What is the smallest common multiple of 3 and a?
21
Suppose 2*z - 48 = -0*z. Let c be (-6)/15 - z/(-10). Let b = 6 - c. Calculate the least common multiple of 22 and b.
44
Let r = -93/11 + 1739/220. Let s = r + -19/220. Find the common denominator of s and 1 - (-1 - 119/(-6)).
66
Suppose 0*s = -4*s + 8. What is the least common multiple of s and 18?
18
Let m(n) = n - 22. Let l be m(0). Let f = 12 + l. Let s(p) = -p - 6. What is the smallest common multiple of s(f) and 8?
8
Let f = -16 + 25. Suppose 2*q = -3 + 7. Calculate the least common multiple of f and q.
18
Suppose c + 2*c - 2394 = 0. Let r = -5636/7 + c. Find the common denominator of r and -38/9.
63
Let b(d) = d**3 + 5*d**2 - d - 4. Let n = -3 - -1. Let z(m) = 4*m**2 + 4*m + 3. Calculate the smallest common multiple of b(-5) and z(n).
11
Suppose -4*r - 7 - 9 = 0. Let s = -237/2 - -93. Find the common denominator of s and ((-4)/(-6))/(r/34).
6
Suppose -l + 3*l - 140 = 0. Let c = -42 + l. Calculate the common denominat