47 = 5*z + 3*a, -4*z - 3*a + 4*a = -41. Suppose -4*b - 8 = -4*s, -6*b + 3*b = 4*s - 22. Calculate the least common multiple of b and z.
10
What is the common denominator of 89/24 and (4/(-3 + -237))/(24/820)?
72
Let p = 2048 - 22508/11. Calculate the common denominator of p and -115/6.
66
Suppose -2*u - r + 127 = -4*r, 2*u + 5*r = 87. What is the lowest common multiple of u and 21?
168
Let n = 134 - 76. Suppose 5*h = n - 8. Suppose y - h = -3. Calculate the smallest common multiple of 3 and y.
21
Let p = -1975/106 - -7/53. Let x = 856 + -13669/16. Find the common denominator of x and p.
16
Suppose 0 = -4*n + 213 + 691. Calculate the smallest common multiple of 4 and n.
452
Let c = 13199/23 - 574. Let w = -93/184 - c. Find the common denominator of w and -111/10.
40
What is the common denominator of 17/4 and ((-10)/(-3025)*-235)/((-24)/(-3))?
484
Suppose 46*k - 45*k + 4 = 0, -5*k = 2*x - 196. Calculate the lowest common multiple of x and 108.
108
Let h = -50103/16 + 3130. What is the common denominator of h and 71/66?
528
Suppose -2*x + 1 = 3*r - 2, -5*x + 3*r = -18. Suppose 0 = -x*i + 19*n - 15*n + 158, 0 = -4*i + 5*n + 210. What is the lowest common multiple of 20 and i?
100
Let j be -21*7/((-84)/472). Let f = j - -1212. What is the common denominator of f/(-84) + (-60)/105 and 91/16?
48
Let m = -6291 + 396299/63. What is the common denominator of 5/9 and m?
63
Suppose 169 = 30*z + 49. Suppose -2*v + 3*s = -33, -3*s = 3*v - v - 63. Calculate the lowest common multiple of z and v.
24
Let a = 58983111/10 + -5891604. Let b = 1065 + 5631. Let u = b - a. What is the common denominator of -27/14 and u?
70
Let g = 79 + -62. Suppose -217*f - 2 = -219*f. Calculate the smallest common multiple of f and g.
17
Suppose -5*d - 10 = 2*w, -3*d + 2*w + 10 = -4*d. Calculate the common denominator of 730/8*(-1)/10 and (d - -4) + 574/(-35).
40
Let w be 4/(-24) - (-7499)/(-24). Let d = -313 - w. What is the common denominator of 121/12 and d?
24
Suppose -5*n + 609 - 49 = 0. What is the least common multiple of 14 and n?
112
Let n = -5221643797/4886 - -1068695. Find the common denominator of n and -117/14.
4886
Suppose 0 = 8*c - 11 - 61. Let r = -10 + c. Let f = -1568 + 6309/4. Calculate the common denominator of f and r.
4
Suppose 3*t + 4*g = 29, 4*t - 2 = g + 24. Calculate the smallest common multiple of 31 and t.
217
Suppose -29*j + 11652 = -31*j. Let b = j - -35099/6. What is the common denominator of b and 53/14?
42
Suppose -16*m + 14*m = 186. Let o = m + 97. Let s(f) = 2*f**3 - 3*f + 2. Calculate the lowest common multiple of o and s(2).
12
Let c be (-34180)/44*(0 - 3). Let g = 126927/44 - c. Let a = g - 570. What is the common denominator of a and -133/6?
12
Suppose 4*r - c + 4 = -5*c, 2*c = 0. Let o = 8 + r. Calculate the smallest common multiple of 8 and o.
56
Let f be 23*(-3)/3*-1. Let q = 32 - f. Calculate the smallest common multiple of q and ((-3)/(-9))/((-1)/(-39)).
117
Suppose -5*f + 397 = 97. Calculate the smallest common multiple of f and 3.
60
Let s(h) = -3*h - 14. Let u be s(-3). What is the common denominator of (5 - (-3 - u)) + (-224)/30 and 22/21?
105
Suppose 32*w - 2035 = 37*w. Let g = w - -3167/8. What is the common denominator of 1/8 and g?
8
Let s(i) = -4*i**3 + 6*i**2 - 4*i + 4. Let d be s(2). Calculate the smallest common multiple of 9 and (9*2)/((-24)/d).
9
Let q = -14 - -10. Let x = 19 + q. Suppose -3*p - 2*d + 50 = 0, -107 = -5*p + d - x. What is the lowest common multiple of p and 12?
36
Suppose 5*u + 18 + 7 = 0. Calculate the lowest common multiple of -3 - (-15)/u*-7 and 6.
18
Let w(i) = -i**3 + 9*i**2 - 6*i - 11. Let m be w(8). Suppose -4*a = -2*z - 2, 3*z = m*a - 8 + 3. Calculate the common denominator of 19/20 and (3 + (-75)/6)/z.
20
Let j(r) = -26*r - 654. Calculate the smallest common multiple of 126 and j(-30).
126
Let p = -166/203 + 17/14. Calculate the common denominator of 61/10 and p.
290
Find the common denominator of -14 + 17 + (-186)/75 and 121/(-70) - 3/(-6).
175
Calculate the common denominator of 25/50*(-59)/(-3) and -151/78.
78
Calculate the lowest common multiple of (4/12)/(2/378) and 84.
252
Suppose 2*b = -f + 1, -4*f - 3*b = 2*b - 7. Suppose q + 1 = -4, 2*i + f*q + 1 = 0. Let y(z) = z + 5. What is the smallest common multiple of i and y(4)?
63
Suppose 67*g - 1100 = 57*g. What is the lowest common multiple of g and 30?
330
Let s = 9803/6720 + -122/105. Find the common denominator of 43/80 and s.
320
Suppose -4*f + 21 - 1 = 0. Suppose 84 = l - f*l. Let n = l - -41. What is the smallest common multiple of n and 10?
20
Find the common denominator of 37/36 and -1*38/(-30) + (-113)/565.
180
Suppose -34 = -5*x - 9. Suppose 4*a = 4*t, 0*a - 15 = -x*a. Let j = 9 - 6. Calculate the smallest common multiple of t and j.
3
Let q = -31 - -37. Suppose -3*y - j = -56, 8 = y - 2*j - q. What is the lowest common multiple of y and 2?
18
Let i = 650 - 9764/15. Calculate the common denominator of i and 182/(-5)*(-5 - (-464)/96).
15
Suppose f = -l + 17, 5*l + 0*f - 88 = -4*f. Suppose l = c - 0*z + z, 4*z + 16 = 2*c. Suppose 3*q + 2 = 8. What is the lowest common multiple of c and q?
16
Let v = -12 + 2. Let d = v - -20. Suppose 3*m + 4 + 10 = 2*i, -2*i + m = -18. What is the lowest common multiple of d and i?
10
Suppose -2*l - 3 = 5. Suppose -3*n = 3*x - 153, -2*n = 3*n + 15. Find the common denominator of 2 - (l - (-447)/x) and 101/18.
18
Let x = 22 + -42. Let a = 25 + x. Suppose 0*u - 3*m + 21 = 3*u, -u - a*m - 13 = 0. Calculate the smallest common multiple of u and 8.
24
Let r = 205 + -435. Find the common denominator of r/66 - (-11 - -6) and 5/18.
198
Suppose 5*t - 517 = 4*q, 28*t - 535 = 23*t - 5*q. Calculate the least common multiple of 70 and t.
210
Let l be (-10)/(-3*1/3). Let q = 12 - l. Calculate the least common multiple of q and 6.
6
Let i = -17 + 22. Suppose -n + 5*b = -15, 0*n - 3*n + b + 31 = 0. Suppose -n = -i*w, 15 = 3*d - 2*d + 3*w. What is the lowest common multiple of 5 and d?
45
Let z(w) = 2*w**2 + 11*w - 40. Let d be z(-15). Let v = 205 - d. Let r = -34 - -360/11. Calculate the common denominator of r and v.
11
Let h = -7567098 + 36240018/5. Let s = h - -9426707/30. Let x = s + 4883. Find the common denominator of x and 7/13.
78
Let m be (-10268)/48 + 3 + 6/9. Let h = -1285/6 - m. Find the common denominator of -16/9 and h.
36
Let x(o) = -o**3 - o**2 + 10*o - 4. Let m = -6214 + 229932/37. What is the common denominator of m and x(-5)?
37
Let o = -19291 + 462871/24. What is the common denominator of o and -7/18?
72
Let b = 1227/14 + -165/2. What is the common denominator of (3/(-9))/((-14)/27) and b?
14
Suppose 4*r + c = 190, 2*c = 5*r + c - 233. Let z = 64 - r. What is the smallest common multiple of z and 1?
17
Let m = 13 + -8. Calculate the common denominator of 130/(-18)*63/(-30) and m/9*(-42)/15.
18
Suppose 0 = 5*d - 5*p - 15, p = -4*d + 5 - 3. What is the lowest common multiple of 6 and ((-16)/d)/((-24)/12)?
24
Let y = 373/20 - 93/5. What is the common denominator of -91/8 and y?
40
Suppose 87 - 3 = 4*z - 4*y, 0 = 3*y + 15. What is the smallest common multiple of 22 and z?
176
Let w(c) = 63*c**2 + 10*c + 38. What is the lowest common multiple of w(-4) and 12?
6036
Let b = -51/416 - -3221/1248. What is the common denominator of b and 97/318?
1272
Let f = -3 - -5. Let a(i) = -3*i + 2. Let x be a(-1). Suppose -4*v - 36 = -n, 19 + 22 = n - x*v. Calculate the smallest common multiple of f and n.
16
Let r = 51827/36 + -12982/9. What is the common denominator of -25/21 and r?
252
Suppose -y + 4 = -7. Let g(v) = -v**3 + 3*v + 5. Let a(m) = m**3 - 2*m - 4. Let w(f) = -4*a(f) - 3*g(f). What is the least common multiple of w(0) and y?
11
Let z be ((-95)/10)/((-10)/14481). Let c = 13752 - z. What is the common denominator of -39/16 and c?
80
What is the common denominator of -70/9 and 11/(-11) + 149/64 + -1?
576
Let o = 5579/1661 - 13/151. Let x = 2437/1544 - -9/193. What is the common denominator of x and o?
88
Let o(a) = 3*a + 24. What is the lowest common multiple of 81 and o(1)?
81
Let h = 605 - 9689/16. Let l = 151/2 + -68. Find the common denominator of l and h.
16
Suppose 5*r - 16 + 1 = 0, l - 2*r - 987 = 0. Let y = 1943/2 - l. Calculate the common denominator of y and -51/8.
8
Let k = -596/5 + 111. Find the