31 + -28. Find the common denominator of 103/24 and ((-1260)/88)/j + 3.
264
Let z = 2299/9 - 255. Suppose 5*c - 12 = c, 2*i = 4*c - 6. Suppose 2*f - 3*f + 99 = 3*r, i*r + 2*f - 99 = 0. What is the common denominator of r and z?
9
Calculate the lowest common multiple of 21 and (-1650)/(-200) + (-2)/8.
168
Let h = 13217396161/46 + -287320032. Let c = h - 14669. What is the common denominator of 151/12 and c?
276
Let j = -36 + 36. Suppose 7*n - 61 + 26 = j. Calculate the smallest common multiple of 5 and n.
5
Suppose -3*j = -3*l - 2*j + 59, 0 = l + 5*j - 25. Find the common denominator of (-113)/10 + -5*(-12)/l and -47/8.
40
Let z(x) = x**2 - 4*x + 4. Let o be z(3). Calculate the lowest common multiple of 15 and (o + 65/25)/(6/15).
45
Let g(w) = 10*w + 9*w - 2 - 20*w. Let u be g(4). Find the common denominator of 4/((-20)/(-3)) + u and 20/11.
55
Suppose -4032 = -10*h - 4502. Calculate the common denominator of -19/225 and h.
225
Let f(g) = 25*g**2 + 1. Let o be f(2). What is the common denominator of -69/2 and (-16)/64 + o/68?
34
Let p = 150 - 140. Calculate the least common multiple of 99/6 + 1/(-2) and p.
80
What is the lowest common multiple of 2/4*(-18 + 48) and 18?
90
Let i = 9526551/10708 + -1/32124. Let y = i + -904. Calculate the common denominator of 33/5 and y.
15
Suppose 0 = -5*u - 2*v + 51, 3*u + 5*v = 3*v + 33. Let k(d) = -3*d + 6. Calculate the lowest common multiple of u and k(-5).
63
Let z(o) = 2*o**2 - 2*o + 3. Let c be z(6). Let m = -59 + c. Calculate the least common multiple of 90 and m.
180
Suppose 4*f + f - 29 = -4*o, -f - 3*o + 8 = 0. What is the least common multiple of (-2)/4*(-7 + -11) and f?
45
Suppose -4*x = -v - 15, 4*x - 10 = 5*v - 3*v. Calculate the least common multiple of 290 and x.
290
Let g = 11/85 - -1724/1785. What is the common denominator of -64/3 and g?
21
Suppose 15*f = -16 + 136. Let q = 8 - 0. What is the lowest common multiple of f and q?
8
Find the common denominator of (-2)/(-24)*(27 + -29) and -23/20.
60
Suppose 44 = 4*i + 4. What is the lowest common multiple of 12/(-1*(-3 + 2)) and 30*(-1)/i*-4?
12
Let k(x) = -2*x + 31. Let s be k(0). What is the smallest common multiple of 33 and s + ((-32)/(-24))/((-2)/(-3))?
33
Let k = 242947/18 - 13493. Calculate the common denominator of ((-254)/10)/((-12)/(-5)) and k.
36
Let x be (-206 + 1 - -5) + -3. Let p = -415/2 - x. What is the common denominator of 35/44 and p?
44
Let k = 3211/444 - -124/37. What is the common denominator of (101/3)/((-56)/6) and k?
84
Suppose -47 = -3*c - 5*f - 25, f - 10 = -2*c. Let k = 19 - 11. Calculate the smallest common multiple of c and k.
8
What is the common denominator of -11/16 and (-4)/((-41024)/(-10584)) + 1?
10256
What is the common denominator of -2/35 and (2/98)/((-48)/(-3304))?
210
Let h(t) = 2*t**2 - 8*t - 6. Let l be (-20)/5 + -9 - 0. Let d = -8 - l. What is the lowest common multiple of h(d) and 10?
20
Suppose 4*l + 4*j = 17476, -4*l + 21839 = l + 2*j. Let o = 52471/12 - l. Calculate the common denominator of -65/16 and o.
48
Let a(s) = 236*s**2 - 2. Let o be a(2). Let g = o + -7557/8. Find the common denominator of g and 30/(-4)*10/(-24).
8
Let u = 6919/4 + -1715. Let z = 5916/7 - 847. Calculate the common denominator of u and z.
28
Suppose -2*y - 41 = 31. Let g = y + 38. Suppose 0 = -5*f + p + 44, 30 + 18 = 5*f - 2*p. What is the lowest common multiple of f and g?
8
Suppose 23*v - 25*v + 16 = 0. Suppose -18 = 9*d - 12*d. What is the least common multiple of d and v?
24
Calculate the common denominator of (-8 + 9)/((-740)/106) and -28/37.
370
Let s be 3/(-2)*(-4)/2. Suppose -4*x + 20 = -3*o - 2*x, -s*o - 24 = -3*x. Let u(j) = j**3 + 5*j**2 + 2*j + 6. Calculate the least common multiple of u(o) and 2.
14
Let l(d) = -91*d - 292. What is the least common multiple of 144 and l(-4)?
144
Let a = 55 + -166/3. What is the common denominator of a and (-2)/3 + 30/72?
12
Let x be 6/4*(-58)/(-3). Suppose -l - 53 = -5*w - 5*l, 3*w = -l + x. Let j = w - 7. What is the least common multiple of 2 and j?
2
Let k = 456 + -963/2. Let d = 1038 + -10371/10. Calculate the common denominator of d and k.
10
Calculate the smallest common multiple of 6 and 24/6 - (6 - 13)/7.
30
Let p = 0 - -8. Let c = -2434 - -2474. What is the least common multiple of p and c?
40
Calculate the common denominator of -34/33 and 3/33*(-945)/324.
132
Let a = 395/759 - -8/69. Let l = -3180 - -54082/17. What is the common denominator of a and l?
187
Let o be (-1 + 1)*(1 - 0). Let i be 4/(o + (-40)/27628). Let m = i - -2754. Calculate the common denominator of 17/4 and m.
20
Suppose -5*x - 33 = -4*i, -21*x + 16*x - 5 = 0. Let n(y) = -y**3 + 4*y**2 + 2*y - 5. What is the least common multiple of n(4) and i?
21
Let m = 2 + 1. Let f(i) = i**3 + 3*i**2 - 3*i - 3. Let g be f(-3). Let d(o) = o**3 - 5*o**2 - 5*o + 5. Calculate the least common multiple of m and d(g).
33
Let d be ((-24)/7)/((-8)/56). Suppose 2*w + d = -20. Let l = w + 31. Calculate the lowest common multiple of 9 and l.
9
Find the common denominator of ((-74)/(-33))/(2/(-3)) and 6*(-2)/((-360)/(-378)).
55
Let d = -17 - -11. Let z(o) = o + 14. Let i be z(d). What is the common denominator of 21/16 and (-298)/(-9)*6/i?
48
Let y(a) = -a + 16. Let b be y(16). Suppose 0 = 3*z - b - 42. What is the least common multiple of z and 46/4 + (-1)/(-2)?
84
What is the common denominator of 52/63 and 5486/(-2394) + 2 + (-12)/114?
63
Suppose -5*h + k - 65 = 0, -h - k + 5*k - 32 = 0. Let q = h - -18. What is the lowest common multiple of 2 and q?
6
Suppose 0 = 5*g + 4*c + 7 + 3, -c = 5. What is the least common multiple of (15/(-2))/((-35)/28) and g?
6
Let i = -77 + 75. Suppose 44 = 3*u - u. Calculate the smallest common multiple of (-30)/(-20)*((-16)/(-6) + i) and u.
22
Let t = 86 + -85. What is the common denominator of 13/10 and 19/17 + -2 + 0/t?
170
Let a = 2/1085799 + 3566849699/8686392. Let b = a - 407. What is the common denominator of 65/12 and b?
24
Suppose -5*j + 2*m + 6 = 0, 6*m - 5*m = 4*j - 3. Let l be 2 - (j + (-3 - -479)). Calculate the smallest common multiple of 12 and (-10)/65 + l/(-39).
12
Calculate the common denominator of ((-43)/(-46))/(-16 + (17 - 0)) and -5/12.
276
Let n = 76/143 - 1/13. Let s be 131065/(-30)*3/5. Let h = s - -2625. Calculate the common denominator of h and n.
110
Suppose 3*m + 9 = 3*c, 5*m + 11 = -c + 4*c. Suppose 0 = -q - 0*q - c*k + 50, -5*q - 5*k = -235. What is the common denominator of -49/6 and (-206)/q + 2 - -3?
66
Let s = 5/283 - 7185/6226. Suppose 2*h = -5278 + 1890. Let k = -6837/4 - h. Calculate the common denominator of s and k.
44
Let w = -18350 + 330149/18. Calculate the common denominator of w and -61/916.
8244
Let g(u) be the first derivative of -u**2/2 + 17*u + 13. Let p be -1*(2 - (-13)/(-1)). Calculate the least common multiple of 5 and g(p).
30
Let t = -18/361 + 41117/6498. Find the common denominator of ((-210)/24 - 4)*14/9 and t.
18
Let d be ((-57)/(-152))/(2/16). Suppose 3*g = -4*i + 4 + 32, 5*g - 71 = -d*i. Calculate the smallest common multiple of g and 18.
144
What is the least common multiple of 19 and ((-5)/1)/(10/(-50))?
475
Let a = -2563/2 + 1248. Let t = 2/217075 - 1744371289/434150. Let x = 4030 + t. Calculate the common denominator of a and x.
10
Suppose -92 - 228 = -32*l. Let b(z) = z**2 - 3*z - 6. Calculate the lowest common multiple of l and b(5).
20
Suppose 7*f - 2*l = 2*f, -2*f - 5*l + 29 = 0. What is the least common multiple of f and 18?
18
Let s(u) be the first derivative of 9*u**2/2 - 15*u - 1. Let k be s(7). What is the common denominator of 4/(-30)*30/k and -151/6?
12
Let h(x) = x**3 + 3*x**2 + 4*x + 2. Let f be h(-2). Let y be (f/396)/((-19)/3). Let s = 3647/1254 + y. Calculate the common denominator of -115/6 and s.
66
Let n = 527 - 383. Calculate the smallest common multiple of n and 8.
144
What is the common denominator of 12/(-18)*41/(-6) and 74/141?
423
Suppose 0 = -4*h + 4, 0*p + h - 6 = 5*p. What is the common denominator of -7*(p - (-28)/8) and 23?
2
Suppose -23 = -5*r + 2*u, -r + 0*r - 2*u + 7 = 0. Suppose r*l = -d - 11 + 42, -d - 17 = -3*l. Calculate the least common multiple of l and 5.
30
Suppose 0 = -3*g, -q = -4*q + 5*g + 60. Calculate the least common multiple of 112 and q.
560
Let l = -12 + 23. Let g = -9 + l. Sup