
20
Let v = 3/137 - 1531/1096. Find the common denominator of v and ((-25)/7 - -4) + 43/(-7).
56
Let w = -674/3 + 2081/9. Find the common denominator of w and 61/6.
18
Let r be 1/302*40/210. Let i = 37595/6342 + r. What is the common denominator of i and 2/(-3) - (-482)/120?
140
Let i = -17/16 + 223/112. What is the common denominator of i and 61/6?
42
Let u be 3/(-2) - 11/(-2). Calculate the common denominator of -18/5 and 77/6 - 2/u.
15
Suppose 17 = 7*n - 60. Calculate the smallest common multiple of n and 7.
77
Find the common denominator of -43/18 and (((-9)/(-6))/((-2)/4))/(-10).
90
Suppose 5*h = 10 - 5. Let g = -19175/12 + 1597. Calculate the common denominator of 2 + 143*h/(-6) and g.
12
Let b(x) = x + 14. What is the smallest common multiple of b(-6) and 46?
184
What is the common denominator of -19/15 and -2 - (-474)/(-216) - 4/(-6)?
180
Calculate the common denominator of 103/10 and (2 + 0/3)/(20/(-14)).
10
Suppose -3*i = -6*i + 18. What is the least common multiple of -3 + -2*(1 - i) and 4?
28
Let t = -6/233765 - 1550918563/187012. Let y = t - -8295. Calculate the common denominator of -53/16 and y.
80
Let f = 527/300 + 204/25. What is the common denominator of f and -16/9?
36
What is the common denominator of -4 + (-76)/(-32)*1 and -20/7?
56
Let p(x) = x**2 + 7*x + 4. Let d be p(-4). Let k = d + 4. Calculate the least common multiple of 4 and (-2 + -6)*3/k.
12
Let t be (-5)/5*2*-2. Calculate the smallest common multiple of (t - -19) + -1 + 2 and 8.
24
Let c be (-1454)/(-2) + 9/3. Let z = c + -1489/2. Calculate the common denominator of 103/18 and z.
18
Let t = -8/189 - 3685/756. What is the common denominator of t and -41/6?
12
Suppose 3*b = 3*h + 381, -b - 3*b - 3*h + 522 = 0. Calculate the common denominator of b/(-18) + (-8)/12 and -3/8.
24
What is the least common multiple of 16 and -25*(1 + 27/(-15))?
80
Let w = -64563535/2266 - -1230632/103. Let n = w + 16548. What is the common denominator of ((-27)/2)/(40/15) and n?
176
Let u be ((-6)/9)/((-3)/72). Suppose -2*j = -u - 2. Calculate the lowest common multiple of 5 and j.
45
Let t be (-126)/(-8) + 1/4. Let j be (-4)/14 - (-12)/42. Suppose j = -x - 6 + t. Calculate the lowest common multiple of 1 and x.
10
Suppose 3*n - 32 = 2*n + 2*p, 2*n - 60 = 2*p. What is the smallest common multiple of n and 2?
28
Suppose 3*k + 2*g = 6*k - 64, 5*k = -g + 85. Let r(a) = a**3 + 7*a**2 + 6*a + 2. What is the lowest common multiple of k and r(-6)?
18
Let z(h) = 4*h - 3. Calculate the smallest common multiple of 5 and z(4).
65
Let j(u) = u**2 - 17*u + 38. Calculate the lowest common multiple of j(16) and 26.
286
Let d be (-61)/(-2) + 5/(-10). Let q(o) = o**3 - 2*o**2 - o + 4. Let a be q(3). Find the common denominator of (-2)/a + 71/d and -70/9.
18
Let y = 40 + -12. What is the least common multiple of y and 24?
168
Let c = 9/11 + -56/55. Find the common denominator of -76/3 and c.
15
Let i(a) = 3*a + 2. Suppose q = -4*n + 7, 0 = -0*n - n - 2*q. Calculate the smallest common multiple of 4 and i(n).
8
Suppose -4*m = -4*f - 446 - 234, 832 = 5*m + f. Suppose -4*r + 89 = -m. What is the common denominator of -59/8 and r/18 - (1 - 1)?
72
Let q(f) = 2*f - 7. What is the least common multiple of 8 and q(5)?
24
Let n(l) = -8*l**3 + l**2 + 2*l + 1. Suppose 0 = -2*p + 3*y + 9, -2*p - 17 - 9 = 4*y. Let j = p - -2. Calculate the least common multiple of 5 and n(j).
40
Suppose -3*c + 6 = -3*y - 0*y, -2*c - 16 = 2*y. Let f be -6 - -1*(1 + c). Find the common denominator of 9 and (6/f)/(9/(-237)).
4
Let a = 6619/250 - -3/125. Let j = 3063 + -269. Let u = j + -19512/7. Find the common denominator of u and a.
14
Calculate the common denominator of -3 + (-1)/((-24)/(-76)) and -121/20.
60
Suppose -4*p + 5*h - 2*h + 92 = 0, 0 = 3*p + 2*h - 69. Let o = -18 + p. What is the least common multiple of 6 and o?
30
Suppose 620 = -2*q + 4*k, 5*q + 292 = 4*q - 4*k. Let h = 1528/5 + q. Calculate the common denominator of 2 + -2 - 86/(-14) and h.
35
Suppose 5*u - 20 = -b - 0*u, -b - u = -8. Suppose b*t - 8 = t. What is the lowest common multiple of t and 2?
2
Let h = 7 - 4. Suppose 11 = 2*a + 5*y, h*a + 19 = -2*a + 3*y. Let r = 3 + a. Calculate the lowest common multiple of r and 3.
3
Suppose h - 46 - 14 = 0. Find the common denominator of -71/8 and ((-9)/h)/((-8)/270).
16
Let h = -233912 + 1376491/6. Let r = 4486 + h. Calculate the common denominator of 59/8 and r.
24
What is the common denominator of ((-16)/40)/((-24)/890) and 23/6?
6
Suppose 0 = -3*v + 5*v - 60. What is the common denominator of (-12)/v + 23/20 and 37/3?
12
Suppose -12*t + 13*t + 41 = 5*b, 2*t + 18 = 2*b. Suppose -4*v = 5*n - 5*v - 35, 0 = -2*v. Calculate the least common multiple of b and n.
56
Suppose 5*b = -z - 3, -b - 1 = 1. Calculate the smallest common multiple of z and 12.
84
Let l = -1/22290 + 97831/59440. Calculate the common denominator of l and 9/16.
48
Let k be 16 - (3/3 - 3). Let n = 9391/6 + -1569. What is the common denominator of n and (-375)/k*1/5?
6
Let p = 16 - 10. Suppose 28 + 2 = 5*n. Calculate the lowest common multiple of p and (-1 - -13)*n/8.
18
Let p = 24 + -2. What is the least common multiple of 82/6 - (-10)/30 and p?
154
Let n(b) = -6*b - 27. What is the lowest common multiple of n(-9) and 6?
54
Let n(o) be the second derivative of o**4/12 - o**3/6 + 10*o**2 + 2*o. Let w = 42 + -22. What is the least common multiple of n(0) and w?
20
Let k = -4/4595 + 252797/82710. Let y = -64 - -1153/18. Calculate the common denominator of y and k.
18
Suppose -174 = 5*k - 3*t, -k + 2*t - 72 = k. Let u = -294/19 - 1/38. What is the common denominator of k and u?
2
Suppose 3*u + 30 = 8*u. Calculate the least common multiple of u and 18.
18
What is the common denominator of 5/78 and (0 + 34/9)*(-9)/(-24)?
156
Suppose -3*b + 4*p = -5, 5 = -2*b - p - 10. Let y = 81823/16 - 5111. Find the common denominator of y and (-2)/b - (-346)/(-140).
112
Let n be 3*(-4 - -3)*-1. What is the common denominator of -47/9 and 2 + (124/14 - n)?
63
Suppose -9 = -4*k - 69. What is the common denominator of -1 + -7*k/(-27) and 16/11?
99
What is the common denominator of ((-38)/16 - -3)*-10 and 121/10?
20
Let j(d) = -d + 7. Let m be j(5). Let o = 20 - m. What is the lowest common multiple of 10 and o?
90
Let w = -15 + 9. Calculate the common denominator of 24/11 and 61/w*(-1 + 0).
66
Suppose 5*r + 0*r - 50 = 0. Calculate the smallest common multiple of r and 2.
10
Let k = 2684 + -37605/14. Calculate the common denominator of -127/132 and k.
924
Suppose -5*b = -3*b - 8. Calculate the lowest common multiple of 9 and b.
36
Suppose -24 = -5*h + q, -h + 2*h - 10 = -5*q. What is the least common multiple of 19 and h?
95
Let f(o) = -216*o + 1. Let x be f(3). Let h = x - -1323/2. Let c = 28/17 - 559/102. What is the common denominator of c and h?
6
Let p be 2 + 3*183/9. Let w be (-1)/(-4) + p/4. Suppose -3*f + 17 = -w. What is the least common multiple of f and 11?
11
Suppose -39*m = -38*m - 6. Calculate the lowest common multiple of 10 and m.
30
Suppose 5*b - 225 = -0*b. Suppose -2*y = -b - 103. Calculate the common denominator of y/20 - (-1 - 1) and -57/4.
20
Suppose -20 = -5*w + w. Suppose 24 = w*x - 31. Calculate the least common multiple of x and 6.
66
Suppose -t = -3*t + 28. Calculate the least common multiple of 5 and t.
70
Let r(b) = b**3 - 10*b**2 + 8*b + 12. Let u be r(9). What is the common denominator of (-2)/(-1*16/(-150)) and -1 - ((-486)/(-15))/u?
20
Let n = 27 + -127. What is the smallest common multiple of 6 and -3*(n/12 + 3)?
48
Let x = -22 - -26. Calculate the least common multiple of 2 and x.
4
Let g(r) = -r**2 + 6*r. Let q be 0 + (-3 - (0 + -9)). Suppose 2*p + c = 15, p - 4*c = -3*c + q. Calculate the lowest common multiple of g(5) and p.
35
Calculate the least common multiple of (6/18)/(2 - 58/30) and 24.
120
Let v(z) = -3*z**3 + z**2 - z + 1. Let r be v(2). Let o = 50911/6490 + 36/649. Find the common denominator of o and (-87)/(-12)*(-18)/r.
70
Let p = -2838 - -51139/18. Calculate the common denominator of p and -73/24.
72
Suppose 0 = 5*c - 39 - 6. Let z = 77 - 66. What is the smallest common multiple of c and z?
99
Let g = 3121 + -68699/22. Find the common denominator of g and -83/10.
110
Let i(y) = 2*y**3 - y**2 - 2*y + 3. Calculate the lowest co