9/12.
276
Calculate the common denominator of -25/7 and (-3112)/360 - 2/(-10).
63
Calculate the common denominator of (-228)/58*13/52 and 7/16.
464
Let d(k) be the second derivative of k**5/20 - k**4/12 + 7*k**2/2 - 6*k. Calculate the smallest common multiple of d(0) and 3.
21
Suppose -2*z + 106 = 5*d + z, 3*z - 86 = -4*d. What is the least common multiple of 18 and d?
180
Let p = -11036557/10 + 1098740. Let q = 4908 + p. Calculate the common denominator of (-1)/28*(-212 + -2) and q.
70
Let h(n) = n - 1. Let w = -22 + 44. What is the least common multiple of h(3) and w?
22
Let g be (36413/(-6))/(1*-2). Let k(j) = -3025*j**3 + 2*j + 1. Let z be k(-1). Let p = z - g. Calculate the common denominator of -83/10 and p.
60
Let l = -16 + 24. Let m = l + -5. What is the least common multiple of (-4 + m)/((-1)/9) and 6?
18
Suppose s - 2*z - 48 = 27, 4*z + 77 = s. Suppose 5*j = 4*d + 86, 0*d = -4*j - d + s. What is the lowest common multiple of j and 10?
90
Let c be 12/(1/((-23)/2)). What is the common denominator of (15/40)/((-27)/292) and 10/(-42)*c/4?
126
Suppose -2*n + 5*l + 40 = 0, 0*n - 54 = -5*n + l. Let u = 22 + -18. Calculate the lowest common multiple of n and u.
20
Let m(a) = a**3 + 5*a**2 + 8*a - 1. Let d be m(-6). Let p = -179/2 - d. Find the common denominator of (-185)/(-80) + 2 + 2 and p.
16
Let k = -35 + 55. Calculate the lowest common multiple of k and 24.
120
Let u = 2 + -4. Suppose 2*s + 0*s = 14. Calculate the lowest common multiple of 1/(u/(-44)*2) and s.
77
Suppose 5*b + 22 = 2*b - 5*d, d + 3 = -2*b. Let h be 2/(-156)*(0 + b). Let v = h - 487/39. What is the common denominator of -53/6 and v?
6
Let q be (159/(-2))/(6/56). Let h = -11831/16 - q. Let o = -613/248 + -28/31. Calculate the common denominator of h and o.
16
Let t = 0 + 4. Let q(w) = 6*w**3 + 6*w**2 + w + 11. Let a(n) = -n**3 - n**2. Let v(k) = 5*a(k) + q(k). What is the smallest common multiple of t and v(0)?
44
Suppose -2*v - v + 120 = 0. What is the lowest common multiple of 20 and v?
40
Let r = 957997/90516 - 3/7543. Let s = -26 - -28. Calculate the common denominator of r and s - ((-213)/(-6))/(-1).
12
What is the common denominator of -21/2 and 146/(-32) - 7/(-14)?
16
Let g be -1 + 1 + 2 + -4. Let i be g/8 - 26/(-8). Calculate the common denominator of -5/7 and ((-2)/4*-291)/i.
14
Suppose q - 2*b + 15 = -0*q, -5*q = 5*b + 105. Let z = q - -29. What is the smallest common multiple of (-1)/((7/z)/(-7)) and 10?
10
Suppose 10 = -4*g + 2. Let t = -1 - g. What is the least common multiple of t and 1?
1
Suppose o + 2*h - 15 = -6, 2*h = 0. Suppose -4*m + 9*m = 50. Let x(l) = l - 9. Calculate the lowest common multiple of x(m) and o.
9
What is the smallest common multiple of 93/9 + (16/6)/4 and 4?
44
Let h = -46877/10 - -4692. Let r = -182/3 + 60. Find the common denominator of h and r.
30
Let j(f) = -f + 11. Calculate the least common multiple of 4 and j(4).
28
Let p = 10/1871 + 161777/187100. Calculate the common denominator of p and -53/16.
400
Let u = -70827 - -7791101/110. Find the common denominator of u and -75/14.
770
Suppose 3*j - 2 - 49 = 5*o, 0 = 4*o + 12. Calculate the smallest common multiple of (-2*1)/(1/(-3)) and j.
12
What is the common denominator of 63/22 and -4*((-705)/168 - (-3)/(-7))?
22
Suppose 4*j + 4*k = 32, -5*k + 0*k + 28 = j. What is the least common multiple of j and 54?
54
Suppose 2*b - 5*m + 79 = 4*b, -4*m = 2*b - 80. Let z(j) = j**3 - 4*j**2 + 4*j + 4. Calculate the least common multiple of (4/3)/(4/b) and z(4).
140
Let j(d) = 6*d**2 + 2*d + 1. Let o be j(-1). Let h = o - 8. Let c(q) = 2*q**2 + 3*q - 3. Calculate the least common multiple of 18 and c(h).
18
Suppose -s = 13 + 9. Let c = 3 + -2. What is the lowest common multiple of c and s/(-4) + (-3)/6?
5
Let m = -20269/198 + 1178/11. What is the common denominator of m and 19/40?
360
Let x = -1306 - -566. Let w be 3*3/117*x. Let z = 3779/52 + w. Calculate the common denominator of z and 57/20.
20
Suppose 7 = 3*f - 5*c - 26, -68 = -5*f + 4*c. Calculate the least common multiple of f and 4.
16
Let q = 0 - -2. Suppose 0 = 2*d - r - 3, -r - 3 - 3 = -3*d. Calculate the smallest common multiple of d and q.
6
Suppose h = -h + g + 43, 68 = 3*h + 2*g. What is the smallest common multiple of h and (-2 - -1 - -18) + 1?
198
Let s = 995/13 - 56201/728. What is the common denominator of 37/2 and s?
56
Let m = 37 - 61. Let l be 6/m - (-1)/4. Calculate the common denominator of -29 + 1 + (1 - l) and -39/8.
8
Let y = 59 - 29. Calculate the smallest common multiple of 24 and y.
120
Let b = -3355451/70 - -47937. What is the common denominator of -83/4 and b?
140
Suppose -4*r - 134 = 2*l, 3*r - 6*r = 15. Let j be l/(-21) - (-2)/7. Let m = -2 + j. Calculate the least common multiple of 11 and m.
11
Let j(g) = -7*g + 4. Let y be j(-5). Suppose x = -4 + y. Find the common denominator of -11/9 and 57/x + (-6)/14.
45
Let t = -1387 + 15277/11. What is the common denominator of -19/7 and t?
77
Let k = -4 + 10. Suppose 0 = 2*b - 4*x - 32, 5*b - 32 = -x - x. Calculate the smallest common multiple of b and k.
24
Let m(s) = s**2 - 4*s + 6. Suppose 2*k + 0 = 3*w - 3, -2*k + 3 = -w. What is the lowest common multiple of m(w) and (-1 + (1 - 1))*-1?
3
Find the common denominator of ((-1)/(-12))/((-23)/3634) and ((-59)/12*2)/(-2).
12
Suppose -4*b = -10 - 26. What is the lowest common multiple of 4 and b?
36
Let o = 7731/940 - 168/47. Find the common denominator of -19/14 and o.
140
Suppose 2*q = -4*b - 2108, -b - 3*b = q + 2110. Let m be b/(-30) + 2/5. Find the common denominator of (114/m)/((-11)/(-3)) and -29.
11
Let d(h) = h**3 + 8*h**2 + 14*h + 11. Suppose -3*g + 10 = -8. Calculate the least common multiple of g and d(-5).
48
Let h be 6/10 + 52/(-20). Let f be (224/20)/(h/(-10)). Suppose 0*o + 4*o = f. What is the lowest common multiple of 10 and o?
70
Let d = 15 + -3. Let a(h) = -10*h**3 - 2*h**2 - 2*h - 1. Let y be a(-1). Let u = 17 - y. Calculate the least common multiple of u and d.
24
Let f = -2682 + 16177/6. What is the common denominator of 3*(-6)/81 + (-5)/99 and f?
66
Let c be (4/2 - 0) + 0. Suppose -c*v + 14 = 2. Let p = -7 + 17. Calculate the lowest common multiple of p and v.
30
Let i(p) = p**2 - 8*p + 6. Let w = 2 - 1. Calculate the lowest common multiple of i(8) and w.
6
Let j(t) = 3*t + 0*t + 2 - 4*t. Let u be j(2). What is the lowest common multiple of 3 and (1 - u)*(0 + 5)?
15
Suppose 0*v + 11 = k + 2*v, 3*k - 8 = -v. What is the common denominator of (27*k)/((-30)/8) and 76/9?
45
Suppose -59094 = -3*h + j + 3*j, -4*j = 2*h - 39416. Let r be h/2*(-2)/22. Let y = r + 893. Find the common denominator of -26/11 and y.
11
Let k = -65639/22 - -2988. Find the common denominator of k and -97/62.
682
Let i = 16/3889110037 - -356090802591517/366120818883180. Let l = -1/2615 + i. Let w = l + 569/72. Calculate the common denominator of w and -43/8.
8
Suppose 7*c - 4 = 5*c. Suppose 4*f - 3*f - 4*y - 22 = 0, c*f = 4*y + 40. What is the common denominator of -51/5 and f?
5
Calculate the common denominator of (-6)/(-18) - (-518)/120 and -65/16.
80
Let d(a) = 2*a - 2*a**2 - 2*a**3 - a**3 + 10*a**3 - a. Let s be d(1). Let c(u) = u**3 - 5*u**2 - 4*u - 8. What is the lowest common multiple of c(s) and 8?
8
Let i(l) = -l**3 + 3*l**2 + 4. Suppose 0*z + 2*z - 32 = 0. Suppose -4*u + z = -8. What is the smallest common multiple of u and i(3)?
12
Let f = -4 + 22. Let g = 4 - -4. Calculate the smallest common multiple of g and f.
72
Suppose -7 + 4 = -3*a. Find the common denominator of -113/12 and (a/(-3))/((-6)/(-41)).
36
Suppose -3*z - 4*j + 8 = 0, -5*z + 16 + 3 = j. Let l = 22 - z. Calculate the lowest common multiple of l and 2.
18
Let j(w) = 6*w**2 + 2. Let x be j(-3). Suppose 0 = -4*b + 4*g + x, 7 = b + 2*g + 2. Calculate the smallest common multiple of 2 and b.
22
Let v(q) = -q**3 + 7*q**2 - 5*q + 4. Let j be 8*((-15)/(-6) + -2). Suppose j*z + 8 = 2*r + r, 0 = 4*r - 16. What is the smallest common multiple of v(6) and z?
10
Suppose 0 = 39*l - 40*l + 8. What is the least common multiple of 16 and l?
16
Let f be (-85373)/44 - 4/16. Let x = 1939 + f. Find the common denominator of 3/5 and x.
55
Suppose 0 = -0*y + 2*y - 16. Calculate the smallest common multiple of y and 4.
8
Let t(g) = -g + 10. Let d be (-5)/(-1) + 0/(-4). 