10).
12
Suppose 5*t - 91 = 3*f, 3*t - 5*f = -0*t + 61. Suppose 15*d - t*d = -364. Calculate the least common multiple of 22 and d.
2002
Calculate the common denominator of (-15755)/8400 - -3 - (-6)/(-45) and 31/266.
2128
Let y = 16567/4194 + -4/699. Calculate the common denominator of (-361)/(-456)*4*18/46 and y.
414
Let c be (5/(5/(-3)))/(-3). Find the common denominator of (-66)/(-4)*(-8)/30 and 60/(-32) + c + 1.
40
Suppose -3*a + 2*b - 7 = 0, 2*a + 2*b + 7 = -1. Let y = a - 6. Let j(q) = -q**2 - 10*q + 9. Calculate the least common multiple of j(y) and 30.
90
Let o = 562 + -552. Calculate the least common multiple of o and 582.
2910
Let j(h) = h**3 - h**2 + h + 6. What is the lowest common multiple of j(0) and ((-4382)/1565)/((-1)/(-10)*-2)?
42
Calculate the common denominator of (-65)/600 - (16/(-12))/(-2) and -163/90.
360
Let a(v) = -v**2 - 14*v + 2. Let q be a(-14). Suppose -q*d + 0*d + 20 = 0. What is the lowest common multiple of d and 14?
70
Suppose 0*n + 4*n - 3*n = 0. Let a(u) = 3*u**2 + 42. Calculate the lowest common multiple of 12 and a(n).
84
Suppose 4*j - 69 = 3*j - b, 4*j + 2*b = 282. What is the least common multiple of 7 and j?
504
Let q = 173/23 - 1501/276. Let d = -525/2 - -220. Find the common denominator of d and q.
12
Let n = 5/6 + -97/6. Calculate the common denominator of (3 - -31)*(-4)/6 and n.
3
What is the common denominator of -113/42 and (-3 - ((-429)/72 + 3)) + -3?
168
Calculate the common denominator of 154/(-36) - (-2)/3 and (-2)/(-5) + 226/(-20).
90
Let g(k) = 3*k**2 - 1 + 0 + 3*k**3 - k**2. Suppose -14*x + 28 = -56. What is the smallest common multiple of x and g(1)?
12
Let m = 2914 + -2884. Let n(d) = 11*d - 1. What is the smallest common multiple of m and n(2)?
210
Suppose 2*b - 94 = -3*x, -19*x - 260 = -5*b - 14*x. Calculate the smallest common multiple of 20 and b.
100
What is the smallest common multiple of 10 and (-20 + 0)/(14/(-7))?
10
Let d be 2 - ((-1103)/568)/(-1). Let q be 229923/48*(4 - 30680/7668). Let n = q - d. Find the common denominator of -111/20 and n.
180
Find the common denominator of 87/(-27) - 4 - -2 and -19/5.
45
Suppose 13*p - 704 = 9*p. Let m = -28 + p. Let j = -631/4 + m. Calculate the common denominator of j and -101/20.
20
Suppose 4*q = 14 - 6. Suppose -q*z + 4*g = 3 - 43, 39 = 2*z - 5*g. What is the lowest common multiple of z and (-3 - (-76)/20)*5?
44
Let z = -7 + 20. Suppose -z*m + 17*m = 88. What is the least common multiple of 1 and m?
22
Let k(y) = -4*y + 1. Let a be k(-4). Suppose -5*i = u + 33, -2*u + 0*u = -5*i + 6. Let h = u + a. Calculate the smallest common multiple of h and 20.
20
Let p be (-10)/35 + 120/(-21). Let j = -9 - p. Let u = 22 + j. What is the lowest common multiple of 11 and u?
209
Let k(y) = 7*y - 40. What is the lowest common multiple of k(6) and 6?
6
Let q = -2581 + 25789/10. What is the common denominator of q and -83/50?
50
Let f = -99 - -100. What is the common denominator of 2 and f/(-1) - 6/60*355?
2
Let m = 9853/900 + -198/25. Let w = 10252 - -758. Let a = w + -198239/18. Calculate the common denominator of m and a.
36
Suppose 0 = -4*j + 3*o + 126 - 8, 76 = 3*j + 4*o. Let t = -21 + j. Let p = 6 - 1. Calculate the lowest common multiple of t and p.
35
Suppose -t = 3*d - 2*t - 2, d = -2*t + 10. Let l = -18 + 28. Suppose -l = -u - 0. Calculate the smallest common multiple of u and d.
10
Let a(h) = -13*h - 43. What is the lowest common multiple of 21 - (0 + -2 - -1) and a(-5)?
22
Let p = -628 + 764. Calculate the least common multiple of p and 72.
1224
Let g(n) = -2*n + 14. Let l be g(6). Suppose 2*f + 2 = l*t, 3*f - 2*t + 2 = -3. What is the lowest common multiple of f*(4 - 9) - -1 and 22?
176
Let l(o) = 11*o - 179. Calculate the smallest common multiple of (-24)/(-5) + (-1)/(-5) and l(17).
40
Let b = 24 - 39. Find the common denominator of (b/(-6) - 2) + (-39)/(-192) and -93/20.
320
What is the common denominator of 76/15 and 32/(-176) + (-42)/(-1683)?
255
What is the least common multiple of ((-81)/(-15))/(2/30) + -3 and 10?
390
Let h(i) = -i**3 + 5*i**2 + 13*i + 3. Let x be h(7). Calculate the smallest common multiple of 4 and (40/(-3))/(x/6).
20
Let k = 438 + -845/2. Find the common denominator of 17/764 and k.
764
Let t be (12/(-5))/(2/(-5)). Let p = t - -2. Suppose -1 - p = -3*h. Calculate the lowest common multiple of 11 and h.
33
Suppose -91*q + 280 = -83*q. What is the smallest common multiple of q and 30?
210
Let g be (((-3940097)/(-2))/(-7))/(0 - -40). Let t = g - -7036. Find the common denominator of -1/20 and t.
80
Let c(a) = a**3 - 7*a**2 - 6*a + 5. Calculate the least common multiple of 30 and c(8).
210
Let s be (-34626)/(-28) - (7 - 6). Let r = -1239 + s. Let i = -313 - -673/2. Find the common denominator of i and r.
14
Suppose 0 = -4*t + 16, -5*z + 8*t = 6*t - 42. Suppose -5*j - 12 = -3*j. Let l(x) = -3*x + 12. Calculate the lowest common multiple of z and l(j).
30
Let r = 13117/216132 - 3/2573. Calculate the common denominator of 173/168 and r.
168
Let f(c) = -99*c - 365. What is the smallest common multiple of f(-5) and 91?
910
Let x = 69/7 + -670/63. Let p = 2/43 + -1257/215. What is the common denominator of p and x?
45
Let z(c) = 2*c - 35. Suppose v + 5*m = -3*v + 25, -5*v - 5 = -m. Find the common denominator of 41/2 and z(v).
2
Suppose 5*f = 11 + 4. What is the common denominator of (1 - 399/36) + 2 and -6 + 4 + f/(-11)?
132
Let l = -162 - -192. What is the common denominator of ((-4)/l)/(((-243)/(-1710))/9) and -71/33?
99
Let l be (-1)/((6/10)/(-3)). Suppose -5*n + 50 = -l*a, 2*n = -5*a - 7 + 20. Calculate the lowest common multiple of n and 6.
18
Calculate the common denominator of 23/16 and (6 - 970/144)*(-2)/1.
144
Calculate the least common multiple of 12 and 63 - 34 - (4 - -1*1).
24
Let a(t) = -t**2 - 27*t + 200. Calculate the lowest common multiple of a(-32) and 15.
120
Let k(m) = -14*m**2 + m. Let v be k(1). Let x = -6 - v. Let a = x + 0. What is the least common multiple of a and 2?
14
Let f = -2518723/88 + 330195/11. Let h be (-6)/8 - (-16689)/12. Let w = h - f. Find the common denominator of w and -9/16.
16
Let u = 77191/38120 - -1/19060. Find the common denominator of u and 13/20.
40
Suppose -3*r + 81 = 21. Suppose r*k - 540 = 5*k. Calculate the least common multiple of k and 1.
36
Let c = -25 + 30. Suppose -7 = -c*g - 2. What is the lowest common multiple of 5 and (2 - g)/(1/6)?
30
Suppose 0 = -a + 5*v - 17, -22 = -5*a + 2*v + 8. What is the least common multiple of 4 and a?
8
Let y(d) = -d**3 - 5*d**2 + 17*d - 3. Calculate the lowest common multiple of y(2) and (-438)/(-36) - 1/6.
12
Let d = 428/7 - 7612/119. What is the common denominator of 12/13 and d?
221
Suppose 5*r - 2 = r - 2*l, 0 = -r + 4*l + 14. Calculate the lowest common multiple of 4 and r.
4
Suppose -4*t + 402 = 2*b, 0 = -5*t + 3*t + 4*b + 196. Calculate the smallest common multiple of 18 and t.
900
Suppose 3*r + 8*r = 66. Calculate the smallest common multiple of ((-12)/(-14))/((-3)/(-84)) and r.
24
Suppose 85 = -5*u - 5*m, 4*u = 2*u - 4*m - 28. Let w = 18 + u. Calculate the smallest common multiple of 2 and 10*(0 + (-1)/w).
10
Let i(s) = 288*s + 39. Let x be i(8). Let g = -32723/9 - -3628. Find the common denominator of g and (-6)/(-8) - x/220.
90
Let w(g) = -g**2 + 7*g + 4. Let x be w(7). Suppose m - 44 = 5*a, -x*m - 3*a + 6*a + 108 = 0. What is the lowest common multiple of m and 2?
24
Let d(x) = 2*x**2 - 3*x - 3. Let y = -2 + 5. Let k be d(y). Calculate the smallest common multiple of 18 and (-1*k)/(-3)*5.
90
Suppose 32*q - 34*q + 115 = -5*v, -2*q + v = -119. What is the lowest common multiple of 6 and q?
60
Let v be (-2)/(-1 + 6/10). Let d be 12/v + (-6)/15. Suppose 21 = 4*c - 0*q + q, 4*c = d*q + 18. Calculate the smallest common multiple of 10 and c.
10
Suppose -3 = -2*o + 9. Let f(p) = -p**3 + 5*p - 28*p**2 + 6 + 4 + 23*p**2 + 4. What is the least common multiple of o and f(-6)?
60
Let r = 30 - 10. What is the smallest common multiple of 58 and r?
580
Let j(r) = -6*r**3 + 3*r**2 + 3*r + 10. What is the lowest common multiple of 80 and j(-2)?
320
Suppose -14*u + 139 + 85 = 0. Let t be 14/21 + (-2)/3. Suppose -4*w - g + 39 = t, -2*w - 4*g + 27 = 11. What is the smallest common multiple of u and w?
80
Let b(u) = 5. Let t(c) = -c - 11. Let