7431/11992 - -3/1499. Find the common denominator of 73/10 and m.
40
Let n(t) = -2*t**2 - 3*t + 10. Let s be n(-6). Suppose 0 = x + 2*x - 36. What is the lowest common multiple of s/(-10) + (-12)/30 and x?
12
Let q be 2/6 - 129171830/(-1920). Let x = -67276 + q. What is the common denominator of x and 121/6?
192
Let y = -23 + 37. Suppose -4*w + 3*a = w + 10, 0 = -w - 3*a - 2. Let h(r) = -6*r - 6. What is the least common multiple of h(w) and y?
42
Let i = 95191/30 + -3174. Let f = 1615/44 - 151/4. What is the common denominator of i and f?
330
Suppose -8*s = -4*s - 128. Calculate the least common multiple of 4 and s.
32
Let s = 4249 - 16913/4. Let y = -2267 + 36327/16. Calculate the common denominator of y and s.
16
Suppose -2*t = t - 6. Let w(f) = 2*f - 9. Let v be w(5). What is the lowest common multiple of (v - -7)*(-3)/(-6) and t?
4
Suppose 3*q = 3*a + 10 + 14, 4*q - 8 = -2*a. Let b = 418 - 360. What is the least common multiple of b and q?
116
Let t = -15349 - -1857214/121. What is the common denominator of 51/154 and t?
1694
Let y be ((-2)/185)/((3024/188678)/(-18)). Let o = 1/9411 - 24112/580345. Let a = o + y. What is the common denominator of a and -22/9?
90
Suppose -6*q - 8 = -2*q. Let h be (-1 - q)*(3 + -3). Suppose -17*x + 12*x + 25 = h. Calculate the lowest common multiple of x and 11.
55
Let x = -25257/8 + 3150. Find the common denominator of -79/132 and x.
264
Suppose 0 = -6*l - 66 + 426. Calculate the least common multiple of 70 and l.
420
Suppose 3*f - 4*b = 16, -f - 5*b = f - 3. Let y = 2 + f. What is the least common multiple of 10 and y?
30
Suppose 3*u + 5*k - 537 = 0, -u = -8*u - 3*k + 1279. Calculate the least common multiple of 32 and u.
736
Let f(s) = s - 1. Let y be f(3). Suppose 4*a - 2*z - 24 = 0, 4*a = y*z - 7*z - 4. Calculate the lowest common multiple of 104 and a.
104
Let o(j) = 188332*j**2 + 2*j - 1. Let z be o(1). Let m be (-45)/30 - z/(-12). Let c = m + -15681. What is the common denominator of -19/8 and c?
24
Let h(y) = y**3 + 7*y**2 - 2*y - 1. Let b be h(-7). Let k = b - 8. What is the smallest common multiple of (-4)/(1*-4) - (-10 + 0) and k?
55
Let o = -37721/33530 - 12/3353. What is the common denominator of o and 13/45?
630
Suppose -3*g - 51 = -2*n, 16*n - 18*n + g + 49 = 0. What is the least common multiple of 126 and n?
504
What is the least common multiple of -4 + (8/(-5))/((-3)/195) and 25?
100
Find the common denominator of 186/(-40) + (41 - 42) and 95/2216.
11080
Let b(q) = -3*q - 81. What is the lowest common multiple of b(-29) and 340?
1020
Let u(s) = 7*s**2 + 10. Let k be u(6). Suppose -k = -0*b - 2*b. Let w = b - 1291/10. What is the common denominator of -99/16 and w?
80
Suppose -8 = 4*k, 3*v + 4*k = -60 - 35. Let u = v - -56. Suppose 0 = c - 2*s - 14, -s + 47 + u = 4*c. Calculate the lowest common multiple of 18 and c.
18
Let t = 5/4556 - -177439/223244. What is the common denominator of 57/28 and t?
196
Let b = -21 + -18. Let q = b - -53. What is the least common multiple of 20 and q?
140
Let h(q) be the second derivative of -q**3/3 - 14*q**2 - 8*q. Let b be h(-14). Suppose b = -27*z + 25*z + 8. What is the least common multiple of z and 20?
20
Let l be (0 + -2818)*(-21947)/(-2779). Let q = l + 22255. Let x = -202871/11116 - q. What is the common denominator of -35/9 and x?
36
Let j be 2466/4*20/50. Let r = j - 8776/35. Calculate the common denominator of r and 6*18/(-21) - -2.
7
Let a = -9532927/230 + 41447. Calculate the common denominator of 22/3 and a.
690
Let x = -4665/53 + 88. Let h = -4725/424 - x. Let v = 16504 - 363161/22. What is the common denominator of h and v?
88
Calculate the lowest common multiple of 8 and (-714)/(-10) + -3 - 10/25.
136
What is the common denominator of 107/84 and (-2)/(-4) + ((-704)/63)/16?
252
Let z(o) = o**2 - 9*o - 49. Let p be z(13). Suppose -5*q = p*f - 70, -13 = -3*q + 3*f + f. What is the least common multiple of q and 15?
165
Suppose 4*y - 12 + 0 = 0. Let j = y + 9. Calculate the common denominator of -5/38 and 0/(-1) - (-50)/j.
114
Calculate the common denominator of (-2 - 0) + (-54)/8 and (70/4)/(1199/218).
44
Let i = -167 + 183. Let t(c) = c**3 + 6*c**2 - 3*c - 8. Let h be t(-6). What is the least common multiple of (38 + h)*(-2)/(-6) and i?
16
Suppose 449*n = 443*n + 6. Suppose 4*t - 3*t = 22. Calculate the lowest common multiple of t and n.
22
Let f(m) = 37*m - 5. Let r = 17 - 14. What is the least common multiple of 14 and f(r)?
742
Suppose 4*t - 2*p - 173 - 177 = 0, -3*t - 3*p = -258. Let q = 931/10 - t. Let j = -17285/9 + 1913. What is the common denominator of q and j?
90
Suppose 9*q + 112 = 688. What is the least common multiple of 72 and q?
576
Calculate the least common multiple of 20 and (-3 - -8)*66/15.
220
Calculate the common denominator of 74/27 and (-27)/(-108) + 29/(-12).
54
Let f = 13 + 3. Let q = -77/19 + 2809/304. Find the common denominator of ((-3)/f)/(18/(-520)) and q.
48
Suppose -8 = -2*r, -4*w + 3*r + 159 = 31. Suppose n - t + 21 = 60, -n + 5*t = -w. Calculate the smallest common multiple of 8 and 18*(n/12 + -3).
24
Let l be (-18)/10*(-1 - 4). Let o be (2 - 355/(-10))*8/(-12). What is the lowest common multiple of (o + 7)*(-24)/l and 8?
48
Calculate the common denominator of 73/110 and 508/462 - 99/297.
770
Let c = 75131/4 + -861853/44. Let d = -806 - c. Let o(a) = a**3 - a**2 + 4*a + 4. Find the common denominator of o(-3) and d.
11
What is the common denominator of 73/12 and 0 + (60/(-5148))/1?
1716
Let a = -18 - 6. What is the common denominator of ((-3)/((-9)/(-89)))/(32/a) and 2/3 + (-281)/66?
44
Calculate the common denominator of -33/850 and ((-30)/(-7))/(48/(-32)).
5950
Let t(n) be the third derivative of 0*n + 1/2*n**3 + 1/24*n**4 + 1/30*n**5 + 0 + 3*n**2. What is the least common multiple of 4 and t(-3)?
36
Let g = -5897953/60 - -98302. Find the common denominator of 67/48 and g.
240
Let f = 2/25597 + -2534143/511940. Calculate the common denominator of f and 3/(-2)*(-226)/(-12) + 4.
20
Let j(k) = k**3 - 7*k**2 + 2*k - 8. Calculate the common denominator of (4160/(-96))/((1 + -2)*2) and j(6).
3
Let m = 2777/369 + 7/82. Let z = 1783/2 - 926. What is the common denominator of z and m?
18
Suppose -7*z = -2*z - 15. Suppose -5*r - z + 13 = 0. Let y(d) = -d**3 - 3*d**2 + 5*d - 3. Calculate the least common multiple of y(-5) and r.
22
Suppose 3*y - 4*m - 17 = 14, 5*y - 17 = -2*m. Calculate the common denominator of (-290)/72 - 2/8 and -3 + y + 103/(-18) + 2.
18
Calculate the least common multiple of 3/12 + 2716/16 and 102.
510
Suppose -4*w - 3 = -w. Let u = -71 + 339. What is the common denominator of -49/2 and (u/(-48))/(w/(-2))?
6
What is the lowest common multiple of 16 and (-14)/21*-3*(35 - -1)?
144
Let g(k) = -2*k + 6. Let m be g(6). Let q be 56/m*(-3)/(-2). Calculate the common denominator of -31/6 and 1290/(-168) - 6/q.
12
Let n = 253257/1345724 - 1/13324. Calculate the common denominator of n and -79/8.
808
Find the common denominator of 0 + (-219)/108 + (-52)/78 and 95/12.
36
Suppose 0 = i + 2*k - 21 - 7, -k - 3 = 0. Calculate the smallest common multiple of 1 and i.
34
Calculate the common denominator of (-428)/(-21) - (-4)/14 and (33/(-1023))/(4/(-180)).
93
Let d = -523 + 533. What is the smallest common multiple of 144 and d?
720
Let l be 4 - (-4)/(4848/5015). Let n = -146/101 - l. What is the common denominator of -63/2 and n?
12
Let t = 13 - 3. Suppose -3*b - h = -32, 16 + 5 = 4*b - 3*h. Calculate the lowest common multiple of 1 - b*(1 - 2) and t.
10
Suppose -9*o + 44 = 2*t - 4*o, -2*t = 3*o - 36. Calculate the smallest common multiple of 120 and t.
120
Let n(f) = -6*f - 14. What is the least common multiple of 36 and n(-3)?
36
Suppose -a + 2*p = -11, -2*a + 4*a - 5*p = 25. Suppose 4*t = i - 2*i + 30, -116 = -a*i - 3*t. What is the least common multiple of 18 and i?
198
Let v be (-3 - 21/(-6))*(-1 + 15). Suppose 16*x - v*x = 36. Calculate the lowest common multiple of x and 24.
24
Suppose 3*o - 59 = 1. Suppose 11*x + 17 = 6. Calculate the lowest common multiple of o and (-4)/(x*4/20).
20
Suppose 2*k - 140 = q - 6*q, 4*k - 256 = -4*q. Calculate the lowest common multiple of k and 48.
240
Let p = 12 + -7. Suppose p*t - 16 = t. Suppose -t*a + 15 + 65 = 0. What is the smallest common multiple of 18 and a?
