et r = y + -19. Let z = 3 - r. Calculate the smallest common multiple of 8 and z.
8
Let o = 1828 - 1780. What is the lowest common multiple of o and 28?
336
Let a = -2780 + 5114. Suppose -n + 3101 = 3*n + 5*y, y = -3*n + a. Let v = 9341/12 - n. Calculate the common denominator of v and 77/6.
12
Let i = -422 - -3427/8. Find the common denominator of 21/172 and i.
344
Let u = 6 - 1. Suppose 162 = u*w - 2*b + 4*b, -2*w - 2*b + 66 = 0. Calculate the least common multiple of 14 and w.
224
Let h be 3/(-654)*1*(5125 - -4). Let s = h - -3/109. What is the common denominator of s and ((-2)/(-44))/(1/(-62))?
22
Let o(a) = -a**3 + a**2. Let c be o(-3). Let v = c - 34. Calculate the least common multiple of v and 10.
10
Suppose -135 = 4*v - 3*a, -v - v + 5*a - 71 = 0. Calculate the common denominator of 73/(-6)*v/88 and -47/22.
176
Suppose 19 = 5*g + 29. Find the common denominator of 71/2 and -7 + 6 + (-73)/g.
2
Let j be 0 + -1 - (-4 - -2). Let s(m) = -5*m**3 - m**2 + 1. Let q be s(j). Let a = -4 - q. What is the smallest common multiple of a and 2?
2
Suppose -2*a - 58580 = -7*a. Let r = 163949/14 - a. Find the common denominator of r and -65/2.
14
Suppose -11505*q + 11503*q + 8 = 0. What is the lowest common multiple of q and 2/((-2)/(-8) + 0)?
8
Let y = -599 + 752. Calculate the least common multiple of 9 and y.
153
Let s(a) = -3*a. Let i(t) = 22 - 10 + 2*t - 30. What is the lowest common multiple of i(10) and s(-6)?
18
Let i be ((-8)/(-12))/(-2*(-2)/18). Let h(n) = n**2 - 6. Calculate the least common multiple of h(i) and 3.
3
Suppose 3*o = 2*h + h - 72, -64 = 3*o - 5*h. Let i = -19 - o. What is the common denominator of 103/12 and (-81)/8 - i/36?
24
What is the common denominator of -2 - (-4)/96 - (5 + -6) and -73/33?
264
What is the smallest common multiple of (1/(-3) - 1)/(4/(-180)) and 90?
180
Let l(j) = -j**2 + 2119. Let n be l(0). Let g = n + -4149/2. Find the common denominator of g and (-2 - 88/(-18)) + 3/6.
18
Suppose -12*w + 33 = -51. Let d(r) = 11*r**2. Suppose 4*f - 4 = -0. What is the smallest common multiple of d(f) and w?
77
Let o = -27 - -26. Let z(y) = -3*y**2 + 10*y. Let a be z(4). What is the least common multiple of (o + 0)/(7 + a) and 2?
2
Suppose i + 2*i - 3*d = 27, 18 = 5*i + 4*d. Suppose 3*f - 5*s = 11, f - 2*f + i = -4*s. Calculate the lowest common multiple of 7 and f.
14
Suppose -17*w - 11*w = -616. Calculate the least common multiple of w and 8.
88
Let j = -193 + 361. What is the common denominator of j/(-33) + 3/6 and -29/48?
528
Find the common denominator of 9/90*(-1443)/676 and 45/52.
520
Let g(h) = -3*h + 9. Let q be g(-3). Calculate the common denominator of -101/10 and 375/q*(-18)/80.
80
Find the common denominator of 17/8 and -2*(-12)/160*(-48)/(-18).
40
Let l = -153848871/20 - -7689768. Let p = l - -2673. Calculate the common denominator of ((-4)/8)/((-33)/267) and p.
220
Let i = 768884/61 - 12605. Calculate the common denominator of i and -81/8.
488
Let p = -19 - -25. Suppose 2*j = p*j. Suppose -54 + j = -3*m. Calculate the least common multiple of 2 and m.
18
Let x be (-125)/10*(0 + (-6)/(-3)). What is the common denominator of (-2)/x*3/24*410 and ((-2)/(-4))/((-16)/268)?
40
Let a(k) = -9*k**2 - 3*k - 4. Let d be a(-8). Let y = 3295/6 + d. What is the common denominator of y and ((-19)/(-2))/(4/10)?
12
Suppose -1957 + 1964 = f. Calculate the lowest common multiple of f and 56.
56
Let m = -91804/38745 + -4/4305. Find the common denominator of ((-171)/(-486))/(((-6)/63)/2) and m.
54
Let g(a) = -a - 2. Calculate the smallest common multiple of 289 and g(-12).
2890
Let l be (2/1887)/((-75)/(-9)). Let n = l - -959193/251600. Let a = -5831/8 + 727. Calculate the common denominator of n and a.
16
Suppose 3*n - 2*g = 19, -n + 6 = n - 3*g. Suppose -4*w = 3*z + 3, 5*w = 7*z - 2*z - 30. Calculate the smallest common multiple of n and z.
9
Suppose -5*a + 2 = -4*u + 4, 3*a - 2*u = 0. Suppose -2*j - s + 10 + 29 = 0, -90 = -4*j + a*s. What is the least common multiple of j and 36?
252
Suppose -2*i + 8120 = -5*j, 0 = -2*i + i - 5*j + 4045. Let n = -32345/8 + i. Find the common denominator of 5/18 and n.
72
Suppose -5*c + 26 = 1. Suppose 4*i + 43 = 3*g, 67 = c*g - 0*g - 2*i. What is the smallest common multiple of g and 4?
52
Let y be (39/9 + -4)*6. Suppose -4*q - 75 = -5*p, -p - p + y = 4*q. Calculate the least common multiple of p and 4.
44
Suppose -d = -5*d + 12, 3*h + 4*d - 6 = 0. Let x(t) = -10*t + 6. Suppose 3*y - 14 = 10. What is the smallest common multiple of x(h) and y?
104
Let y(g) = 2*g + 3. Let t(z) be the first derivative of -z**3/3 - 5*z**2 - 13*z + 16. Calculate the lowest common multiple of t(-4) and y(4).
11
Find the common denominator of -4 - 5*(-25)/16 and 1 - -1 - 236/(-56).
112
Let j = 92 - 90. Suppose -7 = 2*d + j*d - 3*y, -5*y = d - 27. What is the smallest common multiple of 16 and d?
16
Suppose -3*m - 7623 = -2*f, 5552 = 2*f + m - 2075. Let v be (-30)/4*(-7132)/(-14). Let a = v + f. Calculate the common denominator of -107/10 and a.
70
Let w(u) = 2*u - 2. Let t be w(-4). Let m = t + 20. Let f(s) = s**3 - 14*s**2 - 12*s - 23. Calculate the least common multiple of m and f(15).
110
Let i(g) = 0 + 2*g**3 - 5*g**3 - 4 + 4*g**3 + 15*g**2. Let x be i(-15). Let o(p) = -p**2 - 5*p - 3. Calculate the least common multiple of o(x) and 3.
3
Suppose -6 + 3 = -3*p. Suppose 3*o - 18 = 9. Suppose -21*v + o*v + 120 = 0. What is the least common multiple of p and v?
10
Let m = -25420640/574839 - 2/63871. Let i = 589/18 + m. What is the common denominator of 39/10 and i?
10
What is the common denominator of 17/8 and ((-12)/214)/((-13)/169*10)?
4280
Suppose 36*x + 20*x - 448 = 0. Calculate the lowest common multiple of 5 + (-2 - (1 - 2)) and x.
8
Let s(y) = 10*y**2 - 209*y - 15. Suppose 5*p = -3*a + 50, 0*a = -4*p - 5*a + 40. What is the smallest common multiple of s(21) and (-220)/(-6) + p/(-15)?
36
Let i(m) = m**3 + m**2 - 10*m + 9. Let y be i(-4). Suppose 26 = 4*u - 2. Let r = u - y. Calculate the smallest common multiple of r and 16.
48
Let v(j) = j**3 + 10*j**2 - 5*j - 1. What is the least common multiple of v(-10) and 21?
147
Let j be (-291111)/630 - 2/(-3). Let a = 3309/7 + j. Calculate the common denominator of -11/16 and a.
80
Suppose -4*n + 190 = -210. What is the lowest common multiple of 220 and n?
1100
Let q = 643411/43 + -14962. Let f = -2881 - -31657/11. What is the common denominator of q and f?
473
Calculate the least common multiple of 28 and (51 - (0 + -5))*1.
56
Let f = 19/495 - -16282/52965. Find the common denominator of f and 46/7.
749
Let j be 444/14 - (-2)/7. Suppose -b + j = 3*q, 0*q - 3*q = 4*b - 29. Suppose -13*t + 39 = -13. Calculate the least common multiple of t and q.
44
Let f be 8/(-48) - (-49)/6. Suppose -f = -11*a + 3*a. Let l = 10 + -6. What is the least common multiple of l and a?
4
Let p(q) = 3*q**3 - 5*q**2 + 2*q + 4. Let r be p(2). Calculate the common denominator of r/5 + -2 - (-7163)/3230 and -73/4.
68
Let s = 207 - 309. Let p = 191/2 + s. Calculate the common denominator of p and 8/12*(-103)/(-44).
66
Suppose 15*p + 10 - 40 = 0. Suppose -8 = -3*q + q - p*x, -12 = -q + x. Let v = 6 - 4. Calculate the least common multiple of q and v.
8
Let a(q) = -q + 17. Let d = -79 - -83. Calculate the least common multiple of d and a(12).
20
Suppose o - 3*o = 50. Let w = o + 5. Find the common denominator of 1 - ((-416)/w)/4 and -2.
5
Suppose -22 = 7*x + 111. Let v = 21 + x. What is the smallest common multiple of 6 and v?
6
Let t = 13/569 - 12639/578104. Let l = t + -56899/3048. Find the common denominator of l and (-1)/(-4) - 374/(-72).
9
Suppose 0 = 5*z - 2*q - 323, -2*z + 4*z - 118 = -2*q. Suppose 5*s = 2*s + z. Calculate the lowest common multiple of s and 12.
84
Suppose 18*i - 804 + 264 = 0. Suppose 3*d = p + 2 + 21, 12 = 3*p. Calculate the smallest common multiple of d and i.
90
Find the common denominator of -145/42 and (-43)/(-42) - (7 - 215/30).
42
What is the common denominator of -91/6 and (-9)/((-45)/2) + (-986)/(-360)?
36
Calculate the common denominator of -3*2/18 - 192/117 and 59/78.
78
Let q = -100 + 102. Calculate the least common multiple of (-2 - -6)*1/q and 7.
14
Suppose 72 = 2*z - 2*y, 88 = 2*z - 31*y + 33*y. Calculate the least common multiple of 22 and z.
440
Let l b