. Find the common denominator of d and t.
60
Suppose o - 31 = -4*g, -4*g + 34 = -6*o + 4*o. Let y = g + -5. Calculate the smallest common multiple of (y - 3 - -6) + 0 and 10.
30
What is the common denominator of (-26)/9*(-1 + -2) and 538/80 - (-32)/(-256)?
15
Suppose 0*k + 5*k + 5*a = 50, 0 = -4*k + a + 45. Let f be 14/(-4)*(0 - 2). Let v(w) = w**3 - 7*w**2 + 4. What is the lowest common multiple of k and v(f)?
44
Suppose 0 = -3*v - 456 + 459. Suppose 7 = -i + 4*c - 5, -5*c = -4*i - 4. Calculate the least common multiple of v and i.
4
Suppose -6*y = -2*y - 12, -z = -2*y. Suppose 5*s - z - 34 = 0. Suppose 0*n + 35 = 5*f - 5*n, 4*f + 3*n = 7. What is the smallest common multiple of f and s?
8
Let o = 8/11 - 309/440. What is the common denominator of o and -139/24?
120
Find the common denominator of -3 + 310*4/112 and -73/6.
42
Let g be (0 - 2)/((-132)/726159). Let a = 10999 - g. What is the common denominator of (-2)/6*(-291)/(-10) and a?
110
Let p be 4 + -3 + (-1 - -59). Suppose p - 19 = -4*w. What is the common denominator of 13/7 and w?
7
Let p(v) = 6*v. Suppose -2*a - 3*r = -14, -4*r - 9 + 1 = -4*a. What is the smallest common multiple of p(1) and a?
12
Let y = 5476 + -109439/20. Calculate the common denominator of y and 52/35.
140
Let n(t) = 23*t + 23. Let l(y) = 4*y + 4. Let k(a) = -34*l(a) + 6*n(a). What is the lowest common multiple of k(1) and 11?
44
Let w be 4/(-20) + (-3586)/20. Let j = w - -210. Let l = 1419 + -5643/4. What is the common denominator of l and j?
4
Suppose -7 = j - 28. Find the common denominator of 19*((-45)/j + 2) and (6/(-16))/(6/(-44)).
28
Let y = 64 + -21. Let v = 65 - y. What is the least common multiple of 22 and v?
22
Suppose 5 = 5*t, 0*t = z + 2*t - 4. Calculate the least common multiple of z and 18.
18
Let w = 7 - 4. Suppose o - 20 = -w*o, 2*k - 3*o = -7. What is the lowest common multiple of k and 6?
12
Let g(x) = 9*x**2 - 1. What is the least common multiple of 8 and g(-1)?
8
Let t = 2 - -1. Let y = 2 + t. What is the lowest common multiple of 10 and y?
10
Let u = -78 - -52. What is the common denominator of u and 71/3?
3
Suppose 198 = 5*o + 33. Suppose 2*w - o = -4*t + t, 3*w = t - 11. Calculate the least common multiple of t and (1*-3)/(6/(-4)).
22
Suppose 3*f + a - 34 = -3*a, -5*f = 2*a - 38. Suppose 3*k - 9 = 21. Calculate the least common multiple of f and k.
30
Suppose 7*f - 45 = 2*f. What is the lowest common multiple of 3 and f?
9
Let f be (-8)/(-28) - (-270)/(-14). Let q = f + 27. Calculate the least common multiple of 4 and q.
8
Let o = 1655541499 + -1178745326713/712. Let u = -1965/89 - o. Let a = u + 339. Find the common denominator of a and -16/5.
40
Suppose 2 = -4*c + 10. Calculate the lowest common multiple of 11 and c.
22
Let s(z) = 3*z + 1. Calculate the lowest common multiple of s(3) and 7.
70
Suppose -i - 72 = -0*i. Calculate the lowest common multiple of 12 and 9/4*i/(-27).
12
Let s = -2735/1192 - 12/149. Find the common denominator of s and (-2 - -12)*(-27)/(-42).
56
Suppose 25 = -5*k, -x + 0 + 6 = -k. Let s = -1 - x. Find the common denominator of 95/8 and (-41)/s + (-1)/(-2).
8
Suppose 0*t = -t + 15. Suppose -4*n = 3*v - 9, t = 4*v - 3*n - 22. Calculate the smallest common multiple of 7 and v.
7
Let p(u) = -3*u - 2 - 2 + 3. Let y be p(-1). Suppose y - 5 = -i. Calculate the least common multiple of 8 and i.
24
Let i be 630970/(-28)*10/(-50). Let u = i + -4509. Find the common denominator of ((-138)/21)/(8/(-10)) and u.
14
Let y = -43 + 61. Calculate the least common multiple of (4/(-6))/(2/(-18)) and y.
18
Let a = 39/25 + -2433/550. Calculate the common denominator of a and -1/6.
66
Calculate the common denominator of (-9)/(-10) + 2 + -1 and (0 - -23)*1/(-9).
90
Let m = 25266 + -2122319/84. Let a = -683/210 - m. What is the common denominator of -23/14 and a?
140
Suppose -2*v + 0*v + 28 = 0. Calculate the least common multiple of 25 + -1*(-9)/(-3) and v.
154
Let p = -22 - -40. Let h = -6 + 8. Suppose -6 = -x - 4*v, 0*x - 6 = -4*x + h*v. Calculate the lowest common multiple of p and x.
18
Let w(v) = -v + 7. Let g be w(11). What is the common denominator of 49/18 and (-58)/8*g/10?
90
Calculate the least common multiple of 42 and ((15*-1)/1)/(4/(-8)).
210
Suppose -4*i + i + 6 = 0. Let k = i - 2. What is the common denominator of -1/20 and k - -1 - (-81)/6?
20
Let a = -5617/4 + 7644729/5444. Let x = 80287/8166 - a. Find the common denominator of x and 8/11.
66
Find the common denominator of -52/3 and 3 - (82/(-18) + 4).
9
Calculate the common denominator of (-87)/(-96) + 4 + (3 - 11) and -31/20.
160
What is the smallest common multiple of 2 and 4*1 - (-28)/14?
6
Let u be 240/5*(-4)/(-2). Suppose 5*z - b - u = 3*b, 4*b + 16 = 0. What is the smallest common multiple of 6 and z?
48
Let b = -17 - -28. What is the lowest common multiple of 11 and b?
11
Suppose 3*j + 5*z = 2*z + 15, -3*z + 23 = 5*j. Let b = 393/10 + -244/5. Calculate the common denominator of b and 18/j*31/(-30).
20
Let c = 2092/6035 + -3147364/416415. Let y = 14/115 - c. What is the common denominator of 85/8 and y?
24
Let m = -10 + 12. Calculate the least common multiple of m and 8.
8
Suppose -3*d - l - 235 = 0, 0*l = -2*d + 2*l - 146. Calculate the common denominator of -87/8 and 1/(-2) - d/20.
40
Let k = 22 - 16. Calculate the smallest common multiple of 10 and k.
30
Let b = 39777/13552 + 2/847. What is the common denominator of b and (7 + 321/(-45))/((-8)/(-25))?
48
Suppose -209 + 25 = -4*b. Suppose -h + b = -45. Suppose -4*s + h - 3 = 0. Calculate the lowest common multiple of s and 8.
88
Let c(g) = g**3 - 4*g + 1. Let s be c(3). Suppose -5 = -3*i + s. Let m(h) = h + 19. What is the smallest common multiple of m(-8) and i?
77
Suppose g = -5*i - 32, -2*i + 7*i = -4*g - 23. Let o = -4 - i. Let l(t) = -t**3 + 4*t**2 + 3. What is the smallest common multiple of l(o) and 22?
132
Let h = -5 + 4. What is the common denominator of h/4*(57 - -6) and -36/11?
44
Suppose -4*l + 9 = -2*l + v, 5*l + 2*v = 25. Calculate the least common multiple of 5 and l.
35
Let s = 18614/7 + -2647. Let u = -453/14 - s. Calculate the common denominator of -3/11 and u.
22
Let w = -17 + 104. Suppose -3 = -d - w. Calculate the common denominator of ((-8)/(-12))/(5/d) and 17/6.
30
Let g = -2/177 - 637/1062. Let x = -25/9 - g. Let y = 4/211 - 9511/844. Calculate the common denominator of y and x.
12
What is the common denominator of 83/8 and 154/420*1/(-2)?
120
Let i = 17095/10668 - -29/381. What is the common denominator of i and -115/14?
28
Let r = 49339/18 + -2742. Find the common denominator of 584/(-144) + 1*-1 and r.
18
What is the least common multiple of 6/4 + 370/20 and 8 - -1*(1 - -1)?
20
Let p(l) = -l**2 + 5*l - 6. Let h be p(6). Find the common denominator of (-214)/(-36) - (-8)/h and -139/12.
36
Suppose 4*g + 10 = -g. Let z(b) be the second derivative of b**5/20 + b**4/6 - b**3/2 - b**2 + b. What is the lowest common multiple of z(g) and 16?
16
Suppose -b + 0*b + 2 = 0. Let r(p) = -p**3 - 5*p**2 - 4*p - 2. Let t be r(-5). Let l = t + -6. Calculate the lowest common multiple of b and l.
12
Let s = -128/3 - -331/6. Calculate the common denominator of s and -3/7.
14
Let y = -78 + 90. What is the least common multiple of y and 50?
300
Suppose -5*k - 22906 - 10906 = -2*w, 0 = 4*w + 3*k - 67624. Let d = -34493/2 + w. Let m = d - -334. Find the common denominator of m and -17/7.
14
What is the smallest common multiple of 24 and -2*(-9 - 1/(-1))?
48
Let l(b) = 2*b**2 - 3*b + 5. Suppose -4*s + 153 = -s. Suppose 5*x = s - 1. What is the lowest common multiple of x and l(2)?
70
Suppose -2*a + 0*a = -20. Let o(p) = -3*p - 1. Let n be o(-2). Suppose 6*i = n*i + 8. Calculate the lowest common multiple of a and i.
40
Let h = 183729/22690 + 6/2269. Let n be 3101/(-6) + (-8)/(-4). Let x = n + 516. Find the common denominator of x and h.
30
Let d = 14785/2572 + 1/643. What is the common denominator of 1/32 and d?
32
Suppose 2*c - 25 = -2*c - a, -c - 8 = 5*a. What is the least common multiple of 7 and c?
7
Suppose 66 = 4*v - 2*l + 4*l, 0 = 5*v - 4*l - 50. Calculate the smallest common multiple of 4 and v.
28
Let b = -16790/9 + 1868. Find the common denominator of (2/16)/(29/(-4350)) and b.
36
Let w = 5681/9780 - -2/815. Let u = -38 + 17. Calculate the common