
90
Suppose 2*o - 8 = 0, -2*k + 2*o = 2*k - 40. Calculate the smallest common multiple of (3 - (2 + 1)) + k and -1*(-8)/6*(-234)/(-26).
12
Calculate the common denominator of (-9)/(-4) + -30 + 20 and 1 + -2 - 131/(-18).
36
Let d(f) = -f**3 + 21*f**2 - 37*f - 7. Let g be d(19). Calculate the common denominator of (-3)/g - (-137)/(-4) and 16/(-21) - (-4)/(-6).
14
Let d = 4 - -1. Let z be (-2)/(-3) + -6*(-4)/(-9). What is the smallest common multiple of d and (z/1)/((-17)/(1122/12))?
55
Suppose 4 + 80 = 7*x. What is the least common multiple of 24 and x?
24
Let i(x) = -1 - 6 - 2 + 3*x - 1. What is the smallest common multiple of i(4) and 14?
14
Let o(h) = 13*h - 3. Let b be o(2). Let d = 30 - b. Calculate the least common multiple of d and (6 + -2)/(2/5).
70
Calculate the lowest common multiple of 4 and 3 - (-1 + -5 - 3).
12
Let d = -1715 - -5095/3. What is the common denominator of d and (-294)/(-56)*3/(-6)?
24
Suppose 0*m = -m - 1. Let p(a) = 1 + 9*a - 38*a + 16*a. Calculate the common denominator of 93/4 and p(m).
4
What is the common denominator of 5/45*-9 - (-149)/72 and -131/48?
144
Suppose 2*d + 2*v = -v - 48, 4*v - 16 = 0. Let z = 501/4 - 108. Calculate the common denominator of z and ((-81)/d)/(9/(-12)).
20
Suppose 42 = 2*r - 2. Suppose 4*j = 10 + 6. Suppose 20 = 4*v + 4*k + j, -5*k = v - 4. What is the least common multiple of r and v?
44
Suppose o + 7 = 3*d, -5*d + 4*o + 10 = -2*d. Calculate the common denominator of 53/27 and -58*((-61)/(-30) - d).
135
Let l(w) = 19*w**3 + 2*w**2 - 1. Suppose -18*x + 253 = 109. What is the smallest common multiple of l(1) and x?
40
Let f = -1796 - -59314/33. Calculate the common denominator of (-485)/20*(-4)/30 and f.
330
Suppose -m + 4*m + 33 = -5*p, 5*m = 4*p - 18. Let n(z) = -47 - 4*z**2 + z**3 - z + 45 + 10*z**2. Calculate the least common multiple of 6 and n(m).
12
Let y = -534 - -538. Calculate the lowest common multiple of y and 30.
60
Let y = -3/125507 + -196669127/14307798. Let u = 87/19 + y. Calculate the common denominator of u and -2*2/(-112)*-158.
42
Let w = 17 - -9. What is the lowest common multiple of 2 and w?
26
Let b = -15979 + 351475/22. What is the common denominator of b and -4/3?
66
Let z(h) = h**3 + 8*h**2 - 2*h - 16. Let m be z(-8). Suppose -22*r + 21*r + 14 = m. Let x = -14 + 26. What is the least common multiple of r and x?
84
Let q be (-22)/6*(3 - (-36)/(-6)). Suppose -5*w + 5 = 5*a, a + 3*w + q = -w. Calculate the lowest common multiple of a and (-2)/(-8) + 70/8.
45
Let v be ((39976/10)/2)/((-6)/(-30)). Let r = -119857/12 + v. What is the common denominator of 2/3 and r?
12
Suppose -p + 3 + 1 = 0. Suppose p*l = -l + 110. Let k = 40 - l. Calculate the least common multiple of k and 18.
18
Let t = -1024087/117710 - -1/11771. What is the common denominator of t and -23/120?
120
Find the common denominator of -51/25 and 55/(-11) - (-46)/15.
75
Let y = -49003/8 - -6136. Calculate the common denominator of y and 2 - 0 - (-4 + (-291)/(-54)).
72
Suppose 10 = 4*o - 2*r, -2*r + 5*r + 7 = 4*o. Let a(n) = n**2 - n + 1 - n + 9*n + 6. Calculate the lowest common multiple of a(-6) and o.
4
Calculate the common denominator of (-422)/528 - (-36)/72 and -169/168.
1848
Suppose -55 + 5 = -5*z. Let o(u) = -2*u**2 - u + 1. Let r be o(1). What is the lowest common multiple of 6/r*-5 + 1 and z?
80
Let l = -65283/205 + 1588/5. Find the common denominator of l and 53/9.
369
Let i = 904 - 1841/2. What is the common denominator of -113/810 and i?
810
Let j(y) = -y**2 - y - 2688. Let o be j(0). Let q be o/6700 + 6/15. Let h = q + -31801/20100. Find the common denominator of -107/10 and h.
60
Let u = -1176165739/20 + 58827172. Let q = u + -18881. Find the common denominator of 73/14 and q.
140
What is the common denominator of 2/(-72)*1833/(-312) and -91/128?
1152
Let o = -188 + 128. What is the common denominator of (232/o)/(8/(-10)) and 7/10?
30
Let v(w) = -4*w - 72. Let q be v(21). What is the common denominator of (q/(-25) + -6)/(16/(-30)) and 59/4?
20
Suppose 0 = 2*l - 2, -k = -2*l - 2 + 3. Let j = k - -53. Calculate the lowest common multiple of j and 20.
540
Let n = 38 - 29. Let a(q) = -q**2 + 13*q - 18. Suppose g - 12 = -2*g. Calculate the smallest common multiple of a(n) and g.
36
Suppose -23 = 4*r - 163. Suppose 0 = 8*g - 125 - r. What is the lowest common multiple of g and 1 + 0 + -2 + 25?
120
Suppose 4*f + 20 + 52 = 0. Calculate the common denominator of -1/12 and 6/f - 25/27.
108
Let r = 41 - 27. Let c be 4/r - 56152/(-112). Let y = c - 502. What is the common denominator of y and -109/20?
140
What is the smallest common multiple of 12 and 150/(-8)*6/(-15)*2?
60
Let q = -14635/7 - -2084. Find the common denominator of q and (-2086)/220 - (-2)/11.
70
Suppose 0 = -11*c + 25*c - 280. What is the lowest common multiple of c and 52?
260
Let o = 3312/19597 - -324377185/21870252. Let w = -335/31 + o. Find the common denominator of 37/40 and w.
360
Calculate the common denominator of (4225/(-507))/(13/9 + -1) and (12/128)/((-2)/(-232)).
8
Let v = -38669/1428 + 963/28. Let d be (-11)/17 + 2 + -1. Let u = v + d. Calculate the common denominator of 29/6 and u.
6
Suppose 2*o + 2*l + 2 + 2 = 0, -2*l - 25 = 5*o. Let q = 2/123 + 95/41. Find the common denominator of q and 0/16 - 27/o.
21
What is the common denominator of -37/93 and -2 + (-10)/(-3) + (-128)/(-132)?
1023
Suppose -b - 1842 = -7*v + 2*v, 3*b - 362 = -v. Let j = v - 230. Find the common denominator of 25/12 and j/(-56)*1 - 1.
84
What is the common denominator of 107/72 and 109*(-14)/(-552) - 3?
1656
Let b = 68 + -64. Find the common denominator of -23/10 and ((-115)/(-69))/(3*b/(-42)).
30
Calculate the least common multiple of (-13)/(117/108)*-1 and 36.
36
Let i = -240355 - -18988591/79. Let s = i + -15163/948. Let m = 34807/16 + -8727/4. Find the common denominator of m and s.
48
Suppose 5*m - 64 = w, 2*m - 8*w - 44 = -3*w. Suppose 3*j - 5*t = m, -2*t + 45 = 4*j + t. Calculate the lowest common multiple of j and (2 - 0)/(0 - -1).
18
Let l(a) = a**3 - 4*a**2 + 7*a - 4. Let d be l(3). What is the common denominator of ((-18)/(-45))/(d/34) and 53/8?
40
Let p be 0/(-2) - (-610078)/(-168). Let a = 3635 + p. Find the common denominator of 143/12 and a.
12
Let q = 15352993/8 - 1922035. Let a = 2918 + q. Calculate the common denominator of -65/9 and a.
72
Let b = -7 - 3. Let y(o) = -o**2 + 8*o - 29. Let t be y(7). Let r = b - t. What is the lowest common multiple of 2 and r?
12
Let r = 38 - -40. What is the lowest common multiple of r and 6?
78
Let w be 4574*161/(-44) - (3 - 1). Let k = -16735 - w. What is the common denominator of -36/11 and k?
22
Let h(q) = -3*q - 5. Let u be h(-6). Suppose 4*w - u = 2*x + w, -x = 5*w + 39. Let l = -8 - x. What is the least common multiple of 10 and l?
30
Suppose 3*j - 44 = 5*s, 4*j - 5*s - 60 + 3 = 0. Let w = j - 5. What is the smallest common multiple of w and -3 - (-1*4 - 1)?
8
Let v(c) = -3*c - 5. Let n = 381 + -370. What is the least common multiple of v(-5) and n?
110
Let q(p) = -69*p + 3. Let v be q(1). Let j = v + 73. Calculate the lowest common multiple of j and 4.
28
Let a be (-2)/((-806586)/806583) - 2. Let w = -899746667/2150896 + a. Let h = w - -414. Find the common denominator of h and 105/22.
176
Suppose 0 = -8*n + 10*n - 14. Suppose n*h - 125 = 43. What is the lowest common multiple of 4 and h?
24
Suppose -15*r - 2058 = -12*r. Let g = r + 5499/8. Calculate the common denominator of 107/12 and g.
24
Let i(g) = g**2 - 5*g - 8. Suppose -42 = -4*t + t. Calculate the smallest common multiple of 0 - 7/(t/(-12)) and i(7).
6
Let d = -10729 + 43237/4. Let c = -3693/46 + d. Calculate the common denominator of c and 15/14.
644
Let v = -147 + 67. Find the common denominator of -5/8 and (75/v)/(3/(-2)).
8
Suppose 4*d - 18 = -3*n, -n + 5*n + d = 24. What is the least common multiple of 7 and n?
42
Suppose 0*s - 51 = 3*s. Let f(m) = -2*m - 16. What is the lowest common multiple of f(s) and 40?
360
Let r = -9/166 - -802/249. What is the common denominator of 71/24 and r?
24
Let g = -2521/1580 + -186/79. Find the common denominator of 89*(-3)/((-12)/(-1)) and g.
20
Let u = 1678/33 - 398/11. Let f = -24/503 + 20432/6539. Find the common denominator of u and f.
39
Suppose 2*l = l + 6. Let h(f) = -f**3 + 14*f**2 -