
116
Let a(f) = f - 7. What is the smallest common multiple of 4 and a(9)?
4
Calculate the common denominator of 31/12 and (-3*(-324)/(-16))/(-6).
24
Let a = 4/565 - -29336/6215. Calculate the common denominator of a and (-42)/(-4)*(-11)/12.
88
Suppose -519 = v - 526. What is the smallest common multiple of 77 and v?
77
Let q = 5 + 0. What is the common denominator of -19 and (-12)/16 + q/4?
2
Let s(q) = -q**2 - 10*q + 8. Let d(t) = 4*t - 2. Let k be 0 + 1 - (-1 + 4). Let v be d(k). Calculate the least common multiple of 8 and s(v).
8
Let f = -8/17 + -155/68. Find the common denominator of f and 5/8.
8
Calculate the common denominator of (200/(-12))/(((-52)/6)/2) and -20/3.
39
Suppose 0*h = 2*h - 224. Find the common denominator of -5/12 and (-2)/(-7) + 990/h.
24
Suppose 20*z - 154 = 6*z. What is the smallest common multiple of z and 11?
11
Let k be (7/(-129))/((-22)/321). Let t = 136/43 + k. Calculate the common denominator of 134/36*6/(-2) and t.
66
Let a(t) = 10*t**2 + t + 1. Calculate the lowest common multiple of a(1) and 6.
12
Let i = -6351 + 50733/8. What is the common denominator of i and (-362)/36 - (1 - 3)?
72
Suppose 0*i + 90 = 5*i. Let q = 13 - 9. Calculate the smallest common multiple of i and q.
36
Suppose -3*a + 4 = -8. Suppose 4 = o - 0*o. What is the smallest common multiple of o and a?
4
Let m = -124 - -138. Calculate the lowest common multiple of 8 and m.
56
Suppose 2*d + 9*n - 4*n = 35, 5*n - 30 = -d. Let o = d + 6. Calculate the smallest common multiple of 2/(-4) + (-19)/(-2) and o.
99
Suppose -4*q - 22 = 2*v, 4*v - 2*q + 12 = -22. Let k = 3143 + -69235/22. Find the common denominator of -93*(v/4 - -2) and k.
44
Let b = 17 + -6. Suppose 8*r = b*r - 33. Calculate the least common multiple of 1 and r.
11
Let v be -489 - -4*(-4)/8. Let u = 34428275/73604 + -1/18401. Let n = u + v. What is the common denominator of -64/3 and n?
12
Suppose -4*x - x - 20 = -4*c, -x + 14 = c. Suppose 2*n - 24 = -2*n + 2*o, -18 = -3*n - 4*o. What is the smallest common multiple of c and n?
30
Let k be (4 + 22)*2/(-2). Let d = k - -84. What is the least common multiple of d and 8?
232
Let s = 11517/14 - 5814/7. Suppose 18 = 2*w - w + 2*t, 0 = w + 3*t - 23. Find the common denominator of s and (-134)/(-6)*(-3)/w.
56
Calculate the common denominator of 21/38 and 30/7*(-4)/(80/105).
38
What is the smallest common multiple of 24 and (-14)/4*36/(-63)*12?
24
Let m(x) be the first derivative of x**4/4 - 5*x**3/3 + 2*x - 1. Let i(n) = n**2 - 7*n + 11. Let q be i(6). What is the smallest common multiple of m(q) and 7?
14
Suppose -2*b - b - 39 = 0. Calculate the common denominator of -10/9 and (-8)/(-10) - (b - -10).
45
Let c(f) = -f + 1. Let u(r) = 2*r + 5. Let k(z) = z. Let q(d) = 6*k(d) - u(d). Let g(j) = -2*c(j) + q(j). Calculate the common denominator of g(-5) and -43/8.
8
Let t be (-747)/(-1548) - (-2)/(-8). Let j = 345/559 - t. Find the common denominator of j and -57/7.
91
Suppose 2*l - v = -0*l - 53, 2*l + 65 = 5*v. Let u be 1 - 1/(l/(-47)). Let m = -343/150 + u. Calculate the common denominator of m and -83/16.
48
Let x = 753/352 + -131/32. Calculate the common denominator of 57/22 and x.
22
Let g be (-1)/4 - (-4)/16. Suppose 2*s = 2*b - b - 46, -2*b + 2*s = -86. Suppose g = 2*i - 6*i + b. Calculate the least common multiple of i and 9.
90
Let n = 32 + -14. Let w(v) = -v**3 + 4*v**2 + 4*v - 1. Let p be w(4). Suppose -p = -3*g + 15. Calculate the smallest common multiple of g and n.
90
Let b = 157 - -21. Find the common denominator of -4/9 and b/6*15/40.
72
Let o(s) = -8*s - 33. Suppose -16 = -4*i, -2*j = i - 6*i. What is the lowest common multiple of o(-5) and j?
70
Suppose 2*w + 712 = -2*w. Find the common denominator of (-189)/(-112)*(-10)/(-6) and 2*-1 + w/4.
16
Let f = -53 - -63. Calculate the lowest common multiple of 14 and f.
70
Let m = -67019/15675 + 4/1425. What is the common denominator of m and 2/1 + (-375)/(-10)?
22
Suppose -7*o = -3*o - 80. Let a = o - 18. Let v = 8 - 3. Calculate the lowest common multiple of v and a.
10
Suppose -7*n = -4*n - 54. Let u = n + -16. What is the least common multiple of u and 11?
22
Calculate the lowest common multiple of 16 and (3/6)/((-8)/(-64)).
16
Let d be ((-3)/(-6))/(4/1334). Let z = d - 163. What is the common denominator of ((-5)/110)/(6/72) and z?
44
Suppose 4346 + 1956 = x. Let o = -536/3363 - -212133311/33630. Let w = x - o. Calculate the common denominator of w and -121/10.
10
Suppose -2*j - 1 = 2*c - 3, j + 8 = 2*c. Calculate the lowest common multiple of (-1)/(j + 7/4) and 20.
20
Let m = -10 + 24. What is the smallest common multiple of m and 4?
28
Let k(g) = 5*g**2 + g - 2. Let z(o) = o**3 + 6*o**2 - 4*o - 12. Calculate the least common multiple of k(-2) and z(-6).
48
Suppose 5*g - 15 = -5*f + 35, 3*f = g + 46. Suppose -w - 20 = -4*h + 23, 2*w = 2*h - f. Calculate the least common multiple of 4 and h.
12
Suppose 4*d - 1 - 31 = 0. What is the lowest common multiple of d and 7?
56
What is the common denominator of ((-1)/15)/(36/(-4905)) and 53/18?
36
Suppose 0 = -g - 4*g + 45. Let o(k) = -k**3 - 7*k**2 + 6*k - 6. Let w be 2/3 - 26/3. What is the least common multiple of o(w) and g?
90
Calculate the common denominator of 1/2 and (30/32)/((-1)/20).
4
Let o = -3008/3 + 1022. Let j = -1809 + -1462. Let d = -13011/4 - j. Calculate the common denominator of d and o.
12
Let u = -102547/10 + 10285. Let m = -81/5 - u. Calculate the common denominator of m and 35/6.
6
Suppose 6*h - 2*h = 0. Suppose -225 = -h*t - 5*t. What is the common denominator of t and 9/10?
10
Suppose 18 = d + 5*y, 0 = -5*d - 0*d + 5*y. Suppose 2*a + 3 + 1 = 0. Let q(v) = v**2 + v + 1. Calculate the lowest common multiple of d and q(a).
3
Suppose 48 = -q + 4*q. Let f = -4 - -6. What is the least common multiple of f and (q/10)/(3/30)?
16
Let z = 43 + -39. Suppose -10 + 37 = 4*y - 3*c, 2 = y + 4*c. What is the lowest common multiple of z and y?
12
Find the common denominator of 7/22 and 1/(-1) - 52/(-32).
88
Let q = -57 - -59. Calculate the least common multiple of 26 and q.
26
Let o be (48/7140)/(3/(-40)). Let n = o - -2859/476. Find the common denominator of -21/10 and n.
60
Let b(c) = -c**3 - 13*c**2 + 13*c. What is the smallest common multiple of b(-14) and 6?
42
Let f = -478 + 1733. Let n = f + -10075/8. Find the common denominator of -7/8 and n.
8
Let g(t) be the third derivative of -t**4/12 + t**3/3 - 5*t**2. What is the lowest common multiple of 20 and g(-7)?
80
Calculate the common denominator of (-14*1/(-10))/(384/1360) and 107/36.
72
Let c = 102 - 73. Calculate the lowest common multiple of c and 4.
116
Let u = -36 + 47. What is the lowest common multiple of 4 and u?
44
Suppose -3*b = 5*x - 57, 0*x + 4*x = 2*b + 28. Let o(r) = -r**2 + 6*r - 2. Let d be o(6). Calculate the lowest common multiple of 2 - (2/(-1) + d) and x.
18
Suppose -5*t + 1 = -4*v + v, -2*v + 2*t = -6. Suppose -v = -2*f + 4. Let i = 44 - 26. What is the lowest common multiple of f and i?
18
Let u be (-641)/(-165) + (-2)/10. Let h = 14/165 - u. Find the common denominator of h and (-2)/4*188/(-22).
55
Let b(u) = u + 10. Let a be b(5). Suppose 0 = -5*j + 10*j - a. What is the least common multiple of 9 and j?
9
Let x = 1259/1534 - -3/118. What is the common denominator of x and 41/11?
143
Let z(m) = m - 2. Calculate the least common multiple of (2/(-2))/1 - -4 and z(8).
6
Let o be (-362)/708 - (-2)/4. Let l = -1426/885 - o. Let a = l - -1/10. Find the common denominator of -71/10 and a.
10
Let m = 5197 + -57207/11. Calculate the common denominator of -10 - 244/(-24) - 91/(-6) and m.
33
Suppose -364 = -12*d - d. Calculate the least common multiple of d and 44.
308
Let q = -507 - -2063/4. Calculate the common denominator of q and (-222)/40 - (1 + -1).
20
Suppose -4*o - 8 = -0. Let s be (106 - -1)*(-2)/o. Find the common denominator of s/(-2)*8/(-48) and -35/12.
12
Let q be 6/(-4)*12/2. Calculate the common denominator of -2*(-2)/((-4)/q) and -45/7.
7
Let h = -71/3 - -275/12. Find the common denominator of 59/24 and h.
24
Calculate the lowest common multiple of 2 + (2 - 0/(-1)) and 22.
44
Let w = 11 - 7. Let i = 7 - w. Suppose -i*b + 35 = -31. Calculate the least common multiple of 22 and b.
22
Suppose -3*j + 24 + 23 = -5*x, 3*x - 15 = 0. Calculate the l