tor of 65/16 and h/7*(-10)/(-60).
112
Suppose g - 9 = 5*u, 3*g - 5*u = -2*g + 5. Find the common denominator of 47/4 and (-166)/84 + -1*(3 + g).
84
Let b be (-9)/12 + (-5)/20. What is the common denominator of -23/33 and -3 + b - 230/240?
264
Let r = -6558/7 - -1783629/1904. Find the common denominator of r and -107/60.
4080
Let p(a) = -3*a**3 + 2*a**2 + a + 2. Let c be p(2). Let z(o) = o**3 + 13*o**2 + 13*o + 15. What is the lowest common multiple of 9 and z(c)?
9
Let y = -3538 - -77761/22. Let a = 24055/25212 + 1/2292. What is the common denominator of a and y?
22
Let l = 431 + -303. Calculate the smallest common multiple of 30 and l.
1920
Let s = -5117/3 - -3455/2. Find the common denominator of -29/9 and s.
18
Let j(v) = 229*v**3 + 6*v**2 - v - 4. Let s be j(4). Let y = -176819/12 + s. Calculate the common denominator of y and 0/3 + 290/36.
36
Let a = -86 - -197/2. Find the common denominator of -97/46 and a.
46
Let f be (4/(-8))/(10/39684*3). Let v = f - -659. What is the common denominator of (-27)/5 + (-8)/(-4) and v?
5
Let q be 1576/(-3) + (-4)/6. Find the common denominator of 16/(-80) - q/80 and 107/20.
40
Let g = 5 - -25. Suppose 5*b = 132 + 18. What is the smallest common multiple of g and b?
30
Let r(p) = 3*p**3 + 2. Let f(k) = k**3 - 8*k**2 - 58*k + 457. Calculate the lowest common multiple of f(9) and r(2).
208
Let t = -1119565/147636 + -2/36909. Let h = 1796/13 - 24299/182. Find the common denominator of h and t.
84
Calculate the common denominator of 113/150 and (1*151/36)/((-20)/(-6)).
600
Let l = 1263 - 2469/2. Let h = -3926903/695020 - -2/34751. Find the common denominator of l and h.
20
Let i = 11 + -6. Suppose 3*k - 11 = 2*u, 3*u - 2*u - 5 = 0. Calculate the least common multiple of k and i.
35
Let m(j) = -4*j + 3. Suppose -3*x + x + 4*d + 14 = 0, 3*x = -3*d - 15. Let i be -4 + x - (-6)/2. Calculate the least common multiple of 9 and m(i).
99
Let q be (-27)/(-3)*28/12. Suppose -v - q = -2*y, -v - v + 3 = y. Calculate the lowest common multiple of y and 62.
558
Suppose 9*p = 4*p + 5. What is the lowest common multiple of (1 - (2 - 0)) + 17 and ((-99)/(-27))/(p/6)?
176
Let k = -14 - -12. Let b be 2 + 1 + k - 1. Let w(c) = -c**2 + 4. Calculate the least common multiple of 2 and w(b).
4
Let o = 548 - 544. What is the smallest common multiple of o and 50?
100
Let r(y) = 6*y - 157. What is the smallest common multiple of r(28) and 4?
44
Suppose 15*f + 550 = 3850. What is the common denominator of 40/f + (-10)/4 and -101/20?
220
Let m be (-210418)/56 + 2/(-8). Let o = m - -3682. Let l = 1537/21 + o. Calculate the common denominator of 43/3 and l.
21
Let a = -114561/16 + 7156. Suppose -4*m = -2*m - 6. What is the common denominator of a and (-506)/(-96) + (-1)/m?
16
Suppose 5*w - 12 = -3*l, -13 + 2 = -3*w + 2*l. What is the lowest common multiple of 201 and w?
201
Let p(u) = -u - 1. Let v be p(-3). Suppose v*r + 2*k - k = 3, 5*k - 15 = -2*r. Suppose -h = -r*h - 10. What is the lowest common multiple of h and 11?
110
Let x(w) = 2*w - 25. Let g(h) = -h. Let s(n) = -6*g(n) - x(n). Calculate the smallest common multiple of 30 and s(5).
90
Let j(w) = 8*w + 4 - 6*w + 5 - 8. Let x = 1 + 1. Calculate the smallest common multiple of 1 and j(x).
5
Let j = -1413 + 5605/4. Calculate the common denominator of j and -20/3.
12
Suppose v = 3*f - 16, -4*f + 2*v + 20 = -4. Suppose -36 - 8 = -f*z. Calculate the smallest common multiple of z and 12/30 - (-16)/10.
22
Let p(l) = l**3 + l**2 + l - 1978. Let r be p(0). Let k = 31665/16 + r. Calculate the common denominator of k and 10/16*474/60.
16
Calculate the common denominator of -43/20 and 11515/3150 - (-4)/(-18).
60
Let s = -36 + 64. Suppose -71*b = 22*b - 448 - 482. Calculate the lowest common multiple of s and b.
140
Find the common denominator of (76/(-54))/((-8)/(-6)) and 2 + 30/(-28) + (-14 - -13).
126
Let y(q) = -115*q - 551. What is the lowest common multiple of 142 and y(-5)?
1704
Suppose -5*a = -3*z + 6*z - 145, 4*a + 181 = 3*z. Let s = z - 29. Let b = s - 15. What is the least common multiple of 7 and b?
77
Let a = -3091/24 - -389/3. What is the common denominator of a and 12/(-9)*(3368/(-384) - -8)?
72
Suppose 18 = 3*p - 6*p - 4*s, p = 3*s + 7. Let u be p + 4 - (-6928)/(-14). Let a = u - -54899/112. Find the common denominator of a and -139/18.
144
Let i(m) = -m**3 - 5*m**2 + 8*m + 20. Let y be i(-6). Suppose y*h = 3*h - 4*r + 25, -4*h = 4*r - 20. What is the lowest common multiple of h and 6?
30
Suppose 51*u = 46*u - b + 36, 0 = 4*u + 4*b - 16. What is the lowest common multiple of u and 196?
392
Let q(g) be the second derivative of -g**4/12 - 2*g**3/3 + 7*g**2/2 + g. Let n(r) = 5*r**2 - r. Calculate the smallest common multiple of n(2) and q(-5).
18
Suppose 4*n = 2*n + 4*f + 4, 2*n + 5 = -5*f. Suppose 7*u - 3*u - 32 = n. Calculate the least common multiple of 14 and u.
56
Find the common denominator of (-18)/70*18*55/(-44) and 89/74.
518
Let a = 3805424/487 - 7814. Let y = a + -14183/4870. Calculate the common denominator of y and (17 + -13)/2 - 63/2.
10
Let n = -80578 + 10394615/129. Calculate the common denominator of n and 58/21.
903
Let o = 79 - 55. Suppose 2 = 13*k - 12*k. Suppose -w = -k*z - 0 - 12, -2*w + 26 = -2*z. What is the smallest common multiple of o and w?
168
Suppose 3*o - 12 = 3, 0 = 3*j + o - 20. Suppose j*n = n + 64. Calculate the lowest common multiple of n and 10.
80
What is the smallest common multiple of (-36)/(-7)*42/6 and (-1 + 2 - -16) + (-45 - -48)?
180
Find the common denominator of 4*(-1)/(-8) + (-86)/27 and 73/90.
270
Let k be 1 + 3 + 440379/(-67120). Let j = 6/4195 - k. What is the common denominator of j and (-142)/(-24) + -1 + 0?
48
Suppose 1652*j + 1911 = 1659*j. What is the least common multiple of 27 and j?
2457
Let y = -67 - -65. Find the common denominator of -59/50 and y/2 - ((-92)/(-120) + 0).
150
Suppose -15*z - 323 + 2273 = 0. Calculate the common denominator of (z/(-35))/(0 + (-20)/28) and -77/50.
50
Let v(s) = s**2 - 3*s + 2. What is the smallest common multiple of v(4) and 12?
12
Let v = -968 + 970. What is the smallest common multiple of v and 6?
6
Let o = -42 + 48. Suppose o*v - 13 = -1. What is the smallest common multiple of v and 18?
18
Suppose -3*q - 2*t = -448, -5*t + 11 = 31. Suppose -q = -5*m + p + 3*p, 2*m = 4*p + 56. Calculate the smallest common multiple of 8 and (-2)/(-3) - m/(-6).
24
Let n = 2/6177 + -191935/1383648. What is the common denominator of 101/256 and n?
1792
Let k(f) = 19*f - 7*f + 2*f**2 - 13 - 9*f. Calculate the smallest common multiple of (40/(-25))/((-1)/5) and k(-5).
88
What is the common denominator of 1 + 6 + 7241/(-780) + 4 and (-85)/(-22) + (1 - 3)?
660
Let d(p) = 42*p**3 + p**2. Let x = 7/608 - 29233/4256. What is the common denominator of x and d(-1)?
7
Let x be (20/18)/(8/1965). Let o = x - 1185/4. Calculate the common denominator of o and -34/15.
15
Let w = -615 + 623. What is the least common multiple of 20 and w?
40
Let u = -20 - -22. Suppose 3*m + u*g = -3*g - 82, m - 6 = 5*g. Let z = -17 - m. What is the lowest common multiple of z and 15?
30
Suppose 15*i + 24 = 9*i. Find the common denominator of 34/11 and (-60)/(-44) - i - 1.
11
Let a(x) = -x**3 + 13*x**2 + 34*x - 50. What is the lowest common multiple of 48 and a(15)?
240
Let q(r) = r + 9. Let u(b) = b**3 + 3*b**2 + 3*b + 1. Let z be u(-2). Let g be 1 + -1 + z + -7. What is the lowest common multiple of q(g) and 10?
10
Let s = 78 + -74. What is the smallest common multiple of s and 8?
8
Let w(c) = -c**2 - 21*c - 6. Calculate the least common multiple of -7*(1 + -2 - 0) and w(-4).
434
Let m = -3937/780 + 152/39. Let s = 804 + -9757/12. Calculate the common denominator of m and s.
60
Suppose -23*c + 35*c = 240. What is the smallest common multiple of (-139)/(-3) - (-2)/(-6) and c?
460
Suppose -10*w + 224 = 6*w. Calculate the lowest common multiple of w and 10.
70
Suppose 4*r - 88 = 2*o, 0 = -r - 4*o + 3*o + 19. Calculate the least common multiple of 390 and r.
2730
What is the least common multiple of (-16)/((-1 + 5/(-5))/2) and 6?
48
What is the smallest common multiple of (-132)/88 + 7/2 and (-2)/(-3) - (-44)/6?
8
Let q = 8 + 2. Suppose 7 = b + 5. What is the smallest common multiple of q and b?
10
Suppose 129 = -o - 2*x, -266 = 5*o - 3*o +