te the common denominator of 1/32 and (692/(-10))/(-4 + (10 - 30)).
480
Suppose 5*s = t + 35, 0 = 3*s - 4*t + 6*t - 8. What is the lowest common multiple of 62 and s?
186
Let t = 139 + -2923/21. Let v = 388/3 + t. Let r = v + -9593/70. Calculate the common denominator of -101/8 and r.
40
Let k = 1725/14 + -6841/56. Find the common denominator of k and 91/4.
56
Suppose 360*z - 4784 - 9616 = 0. Let k = 128 + -73. What is the least common multiple of k and z?
440
Let g = -480/83 - 81791/166. Let n = -510 - g. Calculate the common denominator of n and -19/8.
8
Let y(k) = -9*k - 4. Let x(o) = o + 6. Let l(n) = n + 11. Let h(t) = 4*l(t) - 7*x(t). Calculate the lowest common multiple of y(-2) and h(-4).
14
Let l be 0/3*(-2 - -1). Suppose l = -4*g + 2*g + 40. Calculate the smallest common multiple of 70 and g.
140
Let q(l) = -4*l**2 + 1. Suppose 0 = -4*o - 5*j + 4, 3*o + 0*o - 3 = -5*j. Let x be q(o). Let v = x - -11. Calculate the smallest common multiple of 6 and v.
24
Let g = 5 - 3. Let u = g - -1. What is the common denominator of (122/44 - 3) + u and 27/16?
176
Let y = -174 - -174. Suppose u + 2*m + 2 = y, 4 = 4*u - 3*m - 10. What is the smallest common multiple of u and 33?
66
Let b = 32896/9 + -953923/261. Find the common denominator of b and 127/72.
2088
Let a(n) = 4*n - 44. What is the least common multiple of a(13) and 8?
8
Let d = 7/859 - -45464/7731. Calculate the common denominator of 25/2 and d.
18
Let l(d) = 2*d**2 + d + 2. Let i be l(2). Find the common denominator of (-1 + 2 - 108)/i and ((-10583)/(-114) - (-1)/6)/(-2).
12
Suppose 73 = -t - 4*k, 2*k - 75 + 254 = -3*t. What is the common denominator of 17/18 and ((-17)/3)/((-38)/t)?
18
Suppose -5*z - 12 = -b, 3*b + 7 - 3 = -5*z. Suppose 8 = b*t - 0*t. Calculate the least common multiple of 10 and t.
20
Let o = 943907/30 - 31467. Calculate the common denominator of -23/54 and o.
270
Let c = -2107 - -2247. Calculate the smallest common multiple of c and 200.
1400
Let g be -1 - (-477)/(-51) - -1. Let z = -2649/136 - g. Find the common denominator of z and (-69)/(-24) - 2/4.
8
Let q = 8249718 - 181304381/22. Let l = q - 8605. Find the common denominator of -31/44 and l.
44
Let u be ((-1088)/(-40))/(2/5). Suppose 0*p = 4*p + g - u, -3*p = 3*g - 60. Calculate the smallest common multiple of p and 18.
144
Calculate the common denominator of 53/220 and -149*(-4 + -4 + (-235)/(-30)).
660
Let j = -5415425/182 + 29755. Let z = j + 1637/1092. Find the common denominator of z and -23/2.
12
Let a(b) = b**3 + 20*b**2 - 14*b - 2. Let x be a(-20). Find the common denominator of 24 and x/(-56) - (-8)/(-28).
4
Suppose -4*q = 20 - 28. Suppose -4*g + q = -3*o - 10, -3*g - 5*o = -9. Calculate the smallest common multiple of g and 11.
33
Suppose 3118 = -0*s + 4*s + 2*z, 4*s - 5*z - 3111 = 0. Suppose 0 = y - 1, 2*q - y = -q + s. Calculate the common denominator of -1 + (-1 - q/(-36)) and -37/3.
9
Let d be (-1)/3*15/10*-14. Suppose 0 = 2*z + 3*f + d, 2*z + 1 - 4 = -f. What is the lowest common multiple of z and 4?
4
Suppose 2*z - 858 = -3*w, 1294 = 3*z - 4*w + 5*w. Find the common denominator of (-606)/z + (-1)/(-8) and -151/12.
36
Suppose 3*m - 69 = y, -m - y = -0*m - 27. Calculate the smallest common multiple of m and 36.
72
Let v be (-133602)/1710 + 1*2. Let d = 1354/19 + v. What is the common denominator of 22/9 and d?
45
Let i(a) = a**2 - 5*a + 6. Let s(v) = -v**3 + 5*v**2 + 2*v + 3. Let x(d) = -8*d - 19. Let k be x(-3). What is the smallest common multiple of s(k) and i(4)?
26
Let q = -1136529807/188 + 6045353. Let f = -3/47 - q. Calculate the common denominator of f and -19/5.
20
Let n = -146 + 141. Suppose 2*g + 3*g - 110 = 0. Calculate the lowest common multiple of g and n/10*-32 - 2.
154
Let k = 3398213/108 - 31464. Calculate the common denominator of k and 43/120.
1080
Let f = -408121/132 - -3092. Find the common denominator of f and 33/14.
924
Let a = -1841/4698 + 70/783. Find the common denominator of a and -89/198.
1782
Let h(c) = c**2 + 9*c + 7. Let n be h(-8). Let t be n - ((-433)/115 + 2). Let d = -3/46 + t. Find the common denominator of d and -70/9.
90
Let f(k) = -4*k - 24. Let v be f(-6). Calculate the common denominator of (74/20 - 2) + -2 and v - -3*(-71)/30.
10
Suppose 2*r + 2*n + 26 = 90, -5*r + 2*n = -188. What is the least common multiple of r and 426?
2556
Let b = 2617739/76 - 34445. Calculate the common denominator of b and 15/16.
304
Let q(w) = -8*w - 21. Suppose 5*k - 2*m + 38 = 0, m = -m - 2. Find the common denominator of q(k) and 77/6.
6
Suppose -d = -5*n + 22, 4*n + 2*d = 2*n + 4. Calculate the smallest common multiple of 662 and n.
1324
Suppose -4*s - 65 = -8*s - y, -4*s + 62 = 2*y. Let k = -8 - -13. Calculate the smallest common multiple of k and s.
85
Suppose -q + 20 = -2*t + 3*q, -2*q = t - 2. Let h be 1153*(-1)/4*t. Let i = 18497/16 - h. What is the common denominator of i and -1/12?
48
Let h = -72/31 + 233/434. What is the common denominator of h and -97/252?
252
Let q = 82/9 + -1010/99. Let o(g) = -9*g + 5. Let i be o(5). What is the common denominator of q and i/(-3)*(-28)/(-48)?
99
Suppose -4*h - 2*r + 36 = 0, 2*r - 3 = 1. Suppose 0 = h*p - 183 + 39. What is the lowest common multiple of p and 3?
18
Let n(h) = 3*h**2 + 37*h - 50. Calculate the least common multiple of 286 and n(-14).
2860
Let n = -666 + 7987/12. Suppose -4*m + 0*m + 4*r = -9368, 0 = -5*m + r + 11694. Let g = m + -42067/18. Calculate the common denominator of g and n.
36
Let i = -1/100 + 941/100. What is the common denominator of i and -46/45?
45
Suppose 3*b = 2*i + 5, 5*b = 4*i + 11 - 0. Calculate the common denominator of 107/20 and b/(-4)*(-1955)/(-46).
40
What is the common denominator of -37/47 and (-218)/12 + (-5 - (-5 + -1))?
282
Let k be ((-9)/(-2))/(9/18). Let n = k + -11. What is the common denominator of 77/8 and (-858)/(-60) - (4 + n)?
40
Let k(r) = r**2 + 19*r + 33. Let g be k(-17). Let d(s) = -6*s - 2. What is the smallest common multiple of d(g) and 28?
28
Let a = 431 + -421. What is the smallest common multiple of a and 60?
60
Suppose -4*r - 2*w = -20, -3*r - 5*w - 3 = -4. Calculate the common denominator of 43/10 and r*(-7)/(-22) + 0 - 3.
110
Let r = -4048 - -97135/24. Let z = -6859909/613880 - 5/15347. Let w = z - 19/20. Find the common denominator of r and w.
24
Let w(u) = 28*u**3 - 4*u**2 - 4*u - 2. Let o be w(-1). What is the common denominator of 1/3*891/o and -79/22?
110
Let m = 30 - 21. What is the least common multiple of 1 + -2 + m/3 and 8?
8
What is the least common multiple of 56 and ((-140)/(-21) - 8)*33/(-4)?
616
Let x be 9/15 + 137/5. Suppose -2*h - x = -2*n, -2*h - 2*h + 8 = 0. What is the smallest common multiple of 18 and n?
144
Let d = -121 + -397. Find the common denominator of d/(-180) + (-16)/(-40) and (-2)/(-5) + 3535/(-150).
18
Let k = -184 - -190. Calculate the smallest common multiple of 8 and k.
24
Let b = 509/61 - 55079/7076. Find the common denominator of ((-21750)/(-6300))/(-2 - (-24)/14) and b.
348
Let z = 12329/70 + -1165/7. What is the common denominator of z and 111/(-259) - (-2 + (-167)/14)?
10
Let g = 494 - 484. Let o = -3 - -10. What is the smallest common multiple of o and g?
70
Let h(z) = z**3 - 6*z**2 - 7*z + 10. Let w be h(6). Calculate the common denominator of -43/4 and (-332)/w - (-1 - -2).
8
Let d = 3865281628/6736785 - 6/204145. Let p = d - 573. Find the common denominator of p and 76/33.
33
Find the common denominator of ((-3)/(-27))/((-16)/920) and 14/56 - (-1)/((-132)/89).
198
Let y be (-4 - -3)*(-2 + -2). Suppose 0*k + 4 = -y*k. What is the common denominator of -103/10 and 1 - k*(-123)/(-48)?
80
Suppose -13 = -5*u + 7. Suppose -8 + u = -2*t - 3*l, 2*t - l = 4. Calculate the least common multiple of t and 12.
12
Let b be (-2 - (4 + -3)) + 11. Let f be (20/b)/((-1)/(-12)). Let c = -19 + f. Calculate the smallest common multiple of c and 6.
66
Suppose 2*i + 3 = y, 2*i + 0 = -2. Let x be -2*(4/52 - y). Let u = x - 53/78. Calculate the common denominator of u and -19/22.
66
Suppose 3*d - 2*q = -304, -771 = 5*d + 4*q - 301. Find the common denominator of d*(3/(-44))/((-36)/(-24)) and 119/6.
66
Let k be 360/44 + 2/(-11). What is the common denominator of ((-27)/(-8))/(60/k) and 1 + 70/36 + 2?
180
Let r be (3 + (-166)/54)*(2 + 55). Let a =