15
Suppose 2*f = -71 - 83. Let g = f + 86. What is the smallest common multiple of 10 and g?
90
Let y = 1297/420 + -79/28. What is the common denominator of y and 71/6 + 2 + -1?
30
Suppose -5*u = 2*h - 82, 2*u - h - 47 = -u. Calculate the lowest common multiple of (-124)/(-155)*5/4*8*2 and u.
16
Find the common denominator of 87/4 and 9*57/(-63)*(-14)/(-1364).
1364
Suppose -8*b = 14 - 62. Calculate the smallest common multiple of 8 and 2*9/b - 2.
8
Let w = 74 + -48. Suppose 62*l + 6 - 401 = 473. Calculate the smallest common multiple of l and w.
182
What is the common denominator of 39/5 and -1 + (-29497)/(-1950) + -13?
150
Let p = 242 + -1232/5. Let z = 2/19679 - 1554653/118074. Find the common denominator of z and p.
30
Let n = 2395/6 + -400. Find the common denominator of -44/59 and n.
354
Let s = -870 + 947. Calculate the lowest common multiple of s and 168.
1848
Let c = 13618 - 803420/59. Let g = c - 57/826. Calculate the common denominator of (-73)/(-6)*(-3)/(-6) and g.
84
Let p(a) = 5*a**2 + 308*a + 607. Let i(w) = w**3 + 8*w**2 + 7*w - 2. What is the smallest common multiple of p(-2) and i(-5)?
418
Let c = 13 - 6. Suppose -3*s = 0, 2*i = c*i - 3*s - 5. Calculate the lowest common multiple of 32 and i.
32
Suppose n - 3*y - 7 = 0, 2*n + y = -0*n + 49. Suppose 97 + 23 = 4*w. Suppose 4*l - 42 = w. Calculate the lowest common multiple of n and l.
198
Let z(q) = q**3 - q**2 + q - 11. Let n = 3 + -3. Let o be z(n). Calculate the common denominator of 2/o + 941/154 and -91/12.
84
Suppose 0 = -4*v + 20, 2*y - 3*v = 5*y - 12. What is the common denominator of y/((-12)/14)*(44 - 31) and 139/30?
30
Suppose d - 2*l = -2*d + 32, 67 = 3*d + 5*l. Let z(u) = u**2 - 5*u - 40. Let o be 29/3 + 10/3 + -3. What is the least common multiple of z(o) and d?
70
Suppose 5*v + 4*i = v + 78868, 5*v = 3*i + 98577. Let s = -473119/24 + v. What is the common denominator of s and -79/24?
24
Let n be ((-30)/6 - -5) + -834. What is the common denominator of n/(-160) - (-16)/(-40) and -97/10?
80
Suppose 3*l = 5*n + 1195, 3*n = l - 0*l - 401. Suppose 805 = 3*h - l. Let r = -1587/4 + h. Find the common denominator of r and -151/18.
36
Find the common denominator of (-4 + (-62)/(-15))/(2/55) and 41.
3
Let p(f) = 5*f**2 - 39*f - 6. What is the smallest common multiple of 102 and p(11)?
510
Let j(g) = -g**2 + 4*g - 1. Let t be j(2). Suppose -5*f + 30 = v, 3*v - 12 = f - t*f. What is the least common multiple of 22 and f/8*(-32)/(-4)?
66
Let m be 6/(4/152*4). What is the common denominator of ((-1)/(-6))/(m/(-27)) and -11/4?
76
Suppose 0 = 19*p - 1447 + 1295. Calculate the lowest common multiple of p and 856.
856
Let g(q) = -3*q**3 + 7*q**2 - 2. Let w be g(2). Find the common denominator of w + 72/(-42) - 136/(-210) and (-206)/(-110) + (-4)/(-10).
165
Let k be 770991/(-143) - 1/(-4). Let t = k + 5391. What is the common denominator of -49/10 and t?
220
Suppose -4*j + 161 - 17 = 0. Find the common denominator of 2/1*(-213)/j and -55/12.
12
Suppose 0 = 4*z - s - 4*s + 3283, 2*z + 1634 = 4*s. Let q = 4122/5 + z. Calculate the common denominator of q and -48/31.
155
Suppose 3*m + 2*v + 280 = 748, 607 = 4*m - 3*v. Calculate the lowest common multiple of m and 3.
462
Suppose -1896 = -15*m - 1086. Calculate the least common multiple of m and 117.
702
Let d(u) = -u**2 - u + 9. Let b be d(6). What is the common denominator of 104/b + (-4)/(-66)*-3 and -56/5?
15
Suppose 4*o - 2*o = 8. What is the least common multiple of o and 298?
596
Let o(u) = -u**3 - 11*u**2 + 12*u + 12. Calculate the lowest common multiple of 21 and o(-12).
84
Let q be (2946/16)/(9/12). Let y = -255 + q. What is the common denominator of y and -62/3?
6
Let h(x) = -x**3 - 9*x**2 - 8*x + 3. Let r be h(-8). Suppose -2*y - 5*k + 31 = 0, -r*k = 2*y + k - 32. Calculate the smallest common multiple of 12 and y.
36
Let p = 70 + -73. What is the smallest common multiple of 21 - (p + 3/1) and 42?
42
Suppose 5*p - 84 = 3*p. Let r = 88 - p. Suppose r = 5*s - 4. What is the smallest common multiple of s and 2?
10
Let p(q) = 6*q + 29. Let z be p(-12). Find the common denominator of z + (-3)/((-12)/(-32)*4) and 103/96.
96
Let d = 505/23 - 498491/253. Let g = d - -1947. Find the common denominator of 9/25 and g.
275
Suppose -19 - 41 = r. Let b = r + 14. What is the lowest common multiple of 2 and b/(-2) - -2 - -1?
26
Suppose v + 3*l = 7, -3*v - 25 = -8*v - 5*l. Suppose -2*w = -5*w + 2*r - 7, -17 = -2*w - 3*r. Let c = w - -1. Calculate the smallest common multiple of v and c.
4
Find the common denominator of 101/50 and (282/(-20))/(-72 - -87).
50
Calculate the least common multiple of 10 and (((-1026)/(-12))/(-9) - -5)*-12.
270
Let j = 8 - 13. Let h = j + 83/16. Find the common denominator of h and ((-2)/8)/(10/(-436)).
80
What is the common denominator of -79/90 and ((-297)/(-120))/(-1) - 6/(-10)?
360
Let l(y) = 6*y**2 - y - 1. Let h be l(3). Suppose d = 2*k - 7 - 1, -16 = -d - 4*k. Calculate the common denominator of -41/2 and (-95)/h + -3 + d.
10
Let s = 131 - 121. Suppose 0 = -s*m - 90 + 390. What is the least common multiple of m and 15?
30
Let g = -3/52 + 3337/156. Calculate the common denominator of g and (-21)/(-14)*3/(-19).
114
Let j = 2441/1892 - 3/172. What is the common denominator of j and (-2)/(-32)*(-11 + 105)?
88
Let s be -11*-3*(-532)/12. Calculate the common denominator of -7/3 and 0 - (-2)/8 - s/(-140).
15
Let v = 8/11 - -969/44. Find the common denominator of v and (183/48 - 0) + -32 + 30.
16
Let d = 2500 - 2180. Calculate the lowest common multiple of 160 and d.
320
Suppose -2*c - 15507 = -l, 0 = -3*c + c + 4*l - 15498. Let d = c - -147384/19. Calculate the common denominator of d and ((-1876)/(-280))/((-8)/(-10)).
152
Let w be ((-15867)/7940 + -1 + 3)*-6261. Let x = 19045/4 + -37804317/7940. Let i = x + w. Find the common denominator of 125/6 and i.
12
Suppose -5*h = -12 + 17, 0 = 2*a + 2*h - 154. What is the lowest common multiple of 12 and a?
156
Let i = -8 - -2. Let x be (-22)/(-4)*(-8 - i). Calculate the common denominator of 3/5*(-5)/x and 37/11.
11
Let u be 1/3 - (-310)/15. Let r be 22/(-25663)*202964/u. Let v = r - 2/6999. Find the common denominator of -18 and v.
7
Suppose h + 15 = 4*x + 4*h, 5*x = 5*h + 45. Suppose 3*q - 21 = -3*p, 24 = 2*q - 4*p - 2. What is the least common multiple of x and q?
18
Let z(a) = a**3 + 7*a**2 + 4*a - 8. Let h be z(-6). Calculate the lowest common multiple of (44/12 - h)/((-2)/12) and 15.
30
Calculate the common denominator of (-1 + (-22)/(-24))*(-756)/(-56) and 43/8.
8
Let o = 26893159/13361010 + 2/171295. Calculate the common denominator of o and -77/117.
234
Let u = 11800621/120 + -98337. Find the common denominator of -77/16 and u.
240
Let g = 153 + -132. Calculate the lowest common multiple of 3 and g.
21
Let r = 3354 + -181037/54. What is the common denominator of r and 19/174?
1566
Let s(l) = l + 12. Let r(i) = -i + 2. Suppose 5*k + 50 = 3*v - 0*k, -4*v + 2*k = -48. Let d be r(v). Calculate the smallest common multiple of s(d) and 2.
4
Let g = -125 - -188. What is the smallest common multiple of g and 3?
63
Suppose 3*j - 75 = 4*c - 1516, -3*c + 4*j + 1072 = 0. What is the smallest common multiple of c and 416?
2912
Let s(o) = o**2 + o. Let j(d) = 3*d**2 + d. Let x(k) = -j(k) + 4*s(k). Let l be x(-4). Calculate the common denominator of 955/700 + l/14 and -11/2.
20
Suppose 0 = 5*m - m. Suppose -5*p + 71 + 9 = m. Let s(d) = -39*d - 49. Calculate the smallest common multiple of p and s(-3).
272
Suppose -b - 10 = -4*c, -2*b = -0*b - 4*c + 4. Let d be -1 - -11 - 6/b. Suppose -4*u = -d - 7. What is the least common multiple of 14 and u?
28
Let l(a) = a**3 + 8*a**2 + 8*a + 3. Let p be l(-7). Let x = 395 - 1163/3. What is the common denominator of 3/p + 113/(-84) and x?
21
Find the common denominator of ((-16)/5838)/(11*(-15)/(-1980)) and 61/5.
4865
Let b = 62 + -30. What is the lowest common multiple of b and 6/(-1 + 4)*2?
32
Let b(p) = -p - 7. Suppose -32 + 12 = -5*d. Calculate the least common multiple of d and b(-9).
4
Find the common denominator of (-138)/(-115)*(-25)/62 and -69/2.
62
Suppose 5*f - 94 = -3*w, 0*w - 100 = -3*w + f. Let k = 774613/1524 - 2033/4. Let u = -13786/2667 + k. Find the common denominator of w and u.
7
Let i(j) = -5*j - 19. Let g(o) = o +