e -5*z - 37 = -132. Find the common denominator of -103/18 and (z/3)/((-28)/105).
36
Suppose -5*b - 233 = -1943. Let v = b - 651/2. Find the common denominator of (-31)/12*(-32)/12 and v.
18
Let s be 1/626*(-572718)/(-120). Let p be -1 - 59/3130*-53. Let t = p - s. Calculate the common denominator of -25/22 and t.
88
Find the common denominator of (322/(-35))/(168/25) and -71/9.
252
Let i = -72629 + 6536447/90. What is the common denominator of i and 52/87?
2610
Suppose -2*w - 17597 = 2*v + 21859, -78930 = 4*v - 2*w. Let u = 394497/20 + v. Find the common denominator of (-4)/(-6) + (-1668)/(-144) and u.
20
Let v = 335425/79956 + -3/4442. Calculate the common denominator of -79/44 and v.
396
Let m be 0/1 - 28967/8. Let n = m - -3627. What is the common denominator of n and 17/34 + (-93)/(-8)?
8
Let u = 12 + -12. Suppose u = 13*l - 29 + 3. What is the smallest common multiple of 14 and l?
14
Suppose 3*q - 140 = 8*q. Let j = 1156 - 601. Calculate the common denominator of j/(-36) - (-2)/(-6) and q.
4
Let l = 251257/96 + -2617. Calculate the common denominator of l and -113/42.
672
Suppose 4*t - 24 = -2*m, m + 4*t - 3 = -t. What is the common denominator of 12/m*(-87)/20 and (-87)/(-30) + (0 - 0)?
10
Let x(n) = -n**2 + 18*n + 14. What is the least common multiple of x(18) and 350?
350
Suppose 96 = -48*h + 52*h. Calculate the least common multiple of h and 348.
696
Let y be (1/8)/(14 + 705). Let d = -67595/51768 + y. Calculate the common denominator of d and -3/2.
36
Suppose w - 77 = -4*g, -4*w - 32 = 2*g - 3*g. Calculate the lowest common multiple of g and -44*-1*4/4.
220
Let s(v) = -v**3 + 6*v**2 + 12*v - 27. What is the least common multiple of 6 and s(7)?
24
Let g(j) = j**3 + 9*j**2 + 9*j + 9. Let l be g(-8). Let d be 1/l*2/(-2). Find the common denominator of (2/((-22)/23))/d and 29.
11
Let u = 23 - 23. What is the lowest common multiple of 7 + -2 + 4 + u and 9?
9
Suppose -13*u = -11*u - 80. Suppose -2*m - 5*v = -29, 7 + 19 = 2*m + 2*v. Calculate the lowest common multiple of m and u.
120
Let z be 0 + 3/5940*2031. Let p = z + 26/165. What is the common denominator of p and -31/16?
240
Suppose 5*z - 2*t = -0*z - 379, 0 = -z + t - 77. What is the common denominator of -113/18 and (10/z)/(12/1905)?
18
Suppose 2*x = 6*x - 220. Suppose -44*z + 39*z + x = 0. Calculate the lowest common multiple of 10 and z.
110
Find the common denominator of -19/50 and -4 - (-1)/10*(-732)/(-18).
150
Let y = 1669/12 + -139. Let m = 8/53987 + -445014881/269935. Let k = m - -1654. Calculate the common denominator of k and y.
60
Let x = -1809 + 16262/9. Find the common denominator of 47/225 and x.
225
Let m = 173 + -149. Calculate the least common multiple of m and 48.
48
Let q = -49761/616 - -888/11. Calculate the common denominator of q and -48/35.
280
Suppose 15*f - 3952 = -4*f. Calculate the lowest common multiple of f and 12.
624
Let r(c) = 2137*c + 1. Suppose 6*w - 5 = -5*h + w, 2*h - 4*w - 2 = 0. Let z be r(h). Find the common denominator of z/180 - (-6)/27 and -13/7.
70
Suppose 0 = -8*b + 113 + 159. Calculate the smallest common multiple of b and 26.
442
Calculate the common denominator of 21/(-12)*(-4)/(-2800)*222 and -27/8.
200
Calculate the common denominator of -125/6 and (-1190)/(-100) - (8/(-5))/4.
30
Suppose h = -8*p + 12*p + 76, -5*p + 409 = 4*h. What is the lowest common multiple of 128 and h?
384
Let b = -1212 - -1214. Calculate the least common multiple of b and 610.
610
Let k = 46/377 - 1195/5278. Find the common denominator of 9/8 and k.
728
Let i = 2/2993 + -230473/17958. What is the common denominator of 59/15 and i?
30
Suppose 0*w + 26 = 3*m + 5*w, -3*m = -3*w - 42. Let u = -2 + m. Calculate the least common multiple of u and 44.
220
Let k be ((-561)/(-5))/((-2)/(-10)). Suppose -512 = -2*t + 4*a, -3*t + 5*a + k + 208 = 0. Let j = t - 1025/4. Find the common denominator of j and -57/10.
20
Let t be (-9)/(-2)*((-88)/(-36) - 2). Calculate the smallest common multiple of 46/14 + (t - 48/21) and 24.
24
Calculate the common denominator of 1692/240*(-50)/(-90) and (1/(-5))/((-12)/(-310)).
12
Suppose 0 = 4*g + 5*t - 14, -8 = g - 3*t - 3. What is the smallest common multiple of g and 64?
64
Suppose 3*x - 5*w - 47 - 21 = 0, 0 = 5*x - w - 150. Let p = -23 + x. What is the least common multiple of 20 and p?
40
Let m(h) = h**3 - 8*h**2 - 8*h - 7. Let n be m(9). Suppose -2*c + 5*c + q - 25 = 0, n*c - 22 = 2*q. What is the smallest common multiple of 4 and c?
36
Let u = 1443/473 + -10/43. Let p be 13/(-16)*(-60)/(-8). Let a = p + 2873/96. What is the common denominator of u and a?
66
Let j(x) = -93*x + 15. Let b be j(-12). Suppose -b = 4*n + 1053. Let q = -4327/8 - n. What is the common denominator of -77/12 and q?
24
Let d = 572/3 + -16115/84. Calculate the common denominator of d and -51/70.
140
Suppose -3*w - 31 = 7*x - 2*x, -44 = 4*w + 4*x. Let d(g) = -4*g - 20. What is the smallest common multiple of d(w) and 10?
140
What is the common denominator of -46/3 and 0 + (-188)/90 + 8 + -4?
45
Let i = 25 - 25. Suppose -3*u - x + 68 = i, 2*u = 2*x - 7*x + 54. Calculate the lowest common multiple of 30 and u.
330
Suppose 2*l + l + 243 = 0. Calculate the common denominator of -3*2/(-16)*996/l and 117/14.
126
Let q = -87 + 113. Suppose q*w = 21*w + 680. Calculate the lowest common multiple of 22 and w.
1496
Let b(p) = p**3 - 11*p**2 - 53*p + 7. Calculate the smallest common multiple of 42 and b(15).
336
Let m = -89 - -94. Suppose 4*t - 3*q - 3 = 13, q + 17 = 3*t. Suppose 4*b - 4 = 4*w, -b + 2*w - t = -2*b. Calculate the least common multiple of m and b.
15
Let a(l) = l**3 - l**2 - 4*l + 2. Let u be a(3). Suppose 0 = -u*p + 3*p + 45. Let r = 408 + -405. Calculate the lowest common multiple of r and p.
9
Let j = 14623/11 - 1331. Let v = -10 + 14. Find the common denominator of j and 51/v*8/9.
33
Let h be 2 + 2 + (-2380)/12. Let r = 2768/15 + h. Calculate the common denominator of r and -62/9.
45
Let h = -297 + 601/2. Find the common denominator of 51/8 and h.
8
Let u(o) = -3*o + 3. Let s be u(0). Suppose h = -n + 9, -1 - 6 = -n - s*h. Calculate the lowest common multiple of 8 and n.
40
Suppose -10 = -o + 7. Let b = 11 - o. What is the common denominator of -77/16 and b/24*(-97)/2?
16
What is the lowest common multiple of 254 and (-20)/25 + (-208)/(-10)?
2540
Let c(u) = 3*u - 6. Let y be c(4). Let t = 13 - y. Let b = -575 + 576. What is the lowest common multiple of t and b?
7
Let k(h) = 2*h**3 - 10*h**2 + 36*h - 156. Calculate the lowest common multiple of 4 and k(6).
132
Suppose 0 = 2*l + 4 + 2. Let j = -10 - l. Let a(c) = -c**3 - 8*c**2 - 6*c + 8. What is the lowest common multiple of 11 and a(j)?
11
Let f(z) = -2*z**2 - 18*z - 4. Let l be f(-7). What is the common denominator of 9/2 and 0 - ((-8)/l)/(2/27)?
2
Let i(g) = -g**2 - 8*g + 14. Let x be i(-9). Suppose -3*y - 57 = -x*s, -s = y - 15 + 2. Calculate the smallest common multiple of 15 and s.
60
Let q = 17 - 2312. Let f = -6820/3 - q. Suppose -5*h - 15 = -230. Find the common denominator of h and f.
3
Let h be (-7)/(-4) - (5 + 126/(-24)). Suppose d + 5*n - 9*n = 2, -16 = -h*d - 4*n. What is the least common multiple of 12 and d?
12
Suppose 10*x + 20 = 14*x. Let m = x - 4. Calculate the least common multiple of -2 + 2 - 0 - -4 and m.
4
Suppose 5*o - 7*o + 84 = 0. What is the smallest common multiple of 42 and o?
42
Suppose 16 + 2 = 9*y. Suppose -5*z = 2*u - 46, -z + 5*u + 9 = y*z. What is the lowest common multiple of 40 and z?
40
Suppose -21*l - 24 + 108 = 0. Calculate the smallest common multiple of ((-12)/(-10))/(3/30) and l.
12
What is the common denominator of (23/(68931/(-18)))/(10/204) and -115/12?
2220
Let r = -647 + 1761. What is the least common multiple of r and 6?
3342
Suppose -2*b = 3*a - 37, 2*a = -4*b + 16 + 46. Suppose 0 = 3*s - 10*s - 147. What is the least common multiple of (-3 - -2) + (-2 - s) and b?
126
Let p be (-16 + 16)/(1 + -3). Suppose p = c + 4*c + 4*g - 15, 3*c + 3*g = 9. Calculate the lowest common multiple of c and 24.
24
Let s be (-4 - 1/(-4))*8/(-3). Suppose 4*p + 4*f = 22 + s, 3*f - 30 = -4*p. Suppose 4 = 2*w - 0*w. Calculate the smallest common multiple of w and p.
6
Calculate the common denominator of (1695/300)/(1*2) and 10/55 + (-3400)/(-2112).
120
What is the common deno