3/13 - -20549/234. Let y be (-770)/12*989/(-10). Let i = y + -6350. Calculate the common denominator of i and f.
36
Suppose -3*i = -4*i. Suppose i = 2*q - 6, 0 = 5*w - 5*q + 43 - 138. What is the lowest common multiple of w and 2?
22
Suppose -5*g - 8 = -23. Suppose -g*q = -8 - 10. Let r = 33 - 32. What is the lowest common multiple of r and q?
6
Let d = 1347 - 9449/7. Let m = 4490234011/179340 + -4578334/183. Let t = 3/980 + m. Find the common denominator of t and d.
21
Suppose 0 = 2*o + 2*x - 136, -o - 2*o - 2*x = -202. What is the least common multiple of 6 and o?
66
Let l = 2 - 0. Suppose 4 + 8 = l*q. What is the smallest common multiple of 8 and q?
24
What is the common denominator of -77/30 and 110/24*(-44)/(-50)?
30
Let b = -2/1939 - 184201/3878. Calculate the common denominator of -113/14 and b.
14
Let l(a) = a**2 + 3*a - 17. What is the lowest common multiple of 7 and l(-7)?
77
Let l = 69/4 + -413/20. Find the common denominator of ((-320)/18)/(-4) + -2 and l.
45
Let j(i) be the third derivative of i**6/120 - i**5/10 + i**3/6 + 2*i**2. Calculate the smallest common multiple of 9 and j(6).
9
Let s = -10208 + 61111/6. Calculate the common denominator of -71/6 and s.
6
What is the common denominator of 22*3/(-2 + 17) and -22?
5
Let g = -83 + 110. Calculate the least common multiple of g and 51.
459
Suppose 12 - 3 = j. Find the common denominator of 73/4 and (-356)/48 + 6/j.
4
Calculate the common denominator of 79/76 and (-1)/8*(3 + -4)*71.
152
Let c be 858/36 - 1/(-6). Let r = 293/102 - -22/17. What is the common denominator of r and 338/c + (-4)/12?
12
What is the lowest common multiple of 4 and (8/(-10))/(2/(-10))?
4
Let v = -2 - -5. Suppose 2*a + v*d - 40 = 0, 5*a - 4*a - 3*d - 29 = 0. Find the common denominator of a and 54/11.
11
Find the common denominator of -50/21 and 34*(-21)/144 + 3.
168
Let r = 37/15 + -289/330. Calculate the common denominator of r and 91/12.
132
Let j be 1*(1 + -2) - 181. Calculate the common denominator of 6/14*j/(-8) and 57/14.
28
Let k(s) = 2*s - 10. Let z be k(8). Let r = z - 3. Suppose 16 = -q + r*q. What is the smallest common multiple of q and 1?
8
Suppose -46 = 3*z - z. What is the common denominator of 0 + -1 + z/(-6) and -91/4?
12
Let c = -487/3 - -147. Let v(o) = o**2 - 1. Let i be v(5). Find the common denominator of c and -2 - i*(-15)/42.
21
Let i be ((-18)/(-3))/(-2) - 3. Find the common denominator of 9/22 and 0 - (-2 + 243/i).
22
Let t(d) = -d**2 + d + 9. Let s(i) = i**3 - 6*i**2 + 6*i + 2. What is the smallest common multiple of s(5) and t(0)?
63
Let y be -1 + 1 - 0/(-1). Suppose -u - u + 40 = y. What is the common denominator of (-4)/u*265/8 and 37/6?
24
Let w(l) = 4*l**2 + 15*l - 7. Let t be w(-11). What is the common denominator of -27/10 and t/16 - (-3)/4?
20
Let k = 1991 + -3315. Let d = k + 10563/8. Calculate the common denominator of 32/3 and d.
24
Let d = 4223/6 + -706. What is the common denominator of d and 23/22?
66
Let y = 507/28 + -67/4. Let v = 847 + -11841/14. Find the common denominator of y and v.
14
Let g(l) = l**3 - 7*l**2 - 4*l + 2. Calculate the least common multiple of g(8) and 14.
238
Let r(p) = -p**2 - 12*p + 5. Let o be r(-12). Suppose 0 = -3*q + 2*f + 6, -22 - 1 = -2*q - o*f. Calculate the lowest common multiple of q and 9.
36
Calculate the common denominator of 31/7 and (-70)/(-252)*(1 - 2/4).
252
What is the common denominator of (2/(-25))/(5/(17300/48)) and -41/27?
270
Suppose 2*q - b - 4 = 1, 0 = -q - 2*b. Let h = q + 1. Let w = 5 + -2. Calculate the smallest common multiple of h and w.
3
Suppose -3 = 4*w - 15. Suppose 2 = w*p - 10. Let h(n) = -2*n - 2. Calculate the least common multiple of p and h(-5).
8
Let s(m) = m**3 - 19*m**2 + 3*m - 45. Suppose 4 = 2*z - 4. Suppose z*g = g + 18. What is the smallest common multiple of s(19) and g?
12
Suppose 2*f - 12 = -2*f, -t = -2*f + 9. Let b = 2 + -3. Let y = b - t. Calculate the smallest common multiple of y and 11.
22
Let o = -2 - -20. Calculate the least common multiple of o and 27.
54
Let o = -62597/22 - -2848. Find the common denominator of -29/18 and o.
198
Suppose 0 = -t + 3*t + 52. Let r = 37 + t. Let i = 13 - 3. What is the lowest common multiple of r and i?
110
Let t be ((-2)/(-104))/(2/(-1677172)). Let n(f) = -3231*f + 32. Let y be n(5). Let b = t - y. Find the common denominator of 71/6 and b.
78
Let a(i) = -6*i**2 - 3*i - 1. Suppose 0 = 3*p - 0 - 6. Calculate the common denominator of a(-2) and 33/(-12)*(p - 3).
4
Let s = 111 + -107. What is the smallest common multiple of 35 and s?
140
Let n = -28/27 + -41/351. Calculate the common denominator of -41/11 and n.
143
Suppose 40 = 7*y - 2*y. Suppose -5*d = -y*d + 42. What is the lowest common multiple of 4 and d?
28
Let p(g) = g - 4. What is the lowest common multiple of (-2)/8 - 74/(-8) and p(9)?
45
Suppose 0 = 4*j - 7 - 13. What is the least common multiple of j and (27/6 - 2)/((-6)/(-24))?
10
Let b be (-4)/(-14) + 32/(-63). Let r = 415/36 - b. Calculate the common denominator of r and -57/8.
8
Let m = -1973 + 7979/4. Find the common denominator of m and 14/(-21) - (-3 - -1)/(-30).
60
Let n = -7 + 5. Let j(r) = -5*r - 3. What is the lowest common multiple of 3 and j(n)?
21
Let d(x) = -x**3 - 6*x**2 - 5*x + 10. What is the least common multiple of 18 and d(-5)?
90
Suppose -5*m = -3*w - 105, 0 = 5*m - 5*w - 34 - 81. Calculate the smallest common multiple of 2 and m.
18
Let c(k) = -k**3 - 7*k**2. Let g be c(-7). Suppose -4*m + 4 = g, -5*j + 73 + 137 = -5*m. What is the common denominator of 34/7 and j?
7
Suppose -6 + 22 = 5*l + 2*r, 18 = 3*l - 3*r. Suppose -30 = -l*f + f + 4*n, -5*f = -4*n - 50. What is the smallest common multiple of 9 and f?
90
Suppose 208 = 3*c - 5*b, -4*c - c + 5*b = -340. Find the common denominator of (-43)/c - (-1)/3 and 8/(-14) - 842/168.
132
Let c = 29723/814 - 6/407. Find the common denominator of 68/3 and c.
6
Suppose 0 = 4*l - 12, 0 = 3*a + 4*l - 48. Let k = a + 0. Suppose -2*f - 22 = -2*j, -3*j + 43 = -2*f + f. Calculate the lowest common multiple of j and k.
48
Let h(j) = j + 2. Let t(s) = -s + 5. What is the lowest common multiple of t(0) and h(2)?
20
Suppose -7*h = -2*h - 205. Let v = 13 - 57/5. Find the common denominator of v and 12*(h/16 - 2).
20
Suppose 18 = 2*a - 4*y + 8, -2*a + 9 = -3*y. Calculate the smallest common multiple of 38 and a.
114
Let y = -2148 - 5026. Let a = y - -3452. Let d = a + 37251/10. Calculate the common denominator of d and -103/12.
60
Let o be 2 - 2127406/2128763 - 1. Let f = o - 2/13559. Let h = 116344/14287 - f. Find the common denominator of 127/6 and h.
42
Suppose 2*i = -421 + 155. Let p(m) = m**3 - 9*m**2 + 11*m - 10. Let v be p(7). Find the common denominator of 69/2 and 2/(-3 + i/v).
20
Let h = 19 + 1. Calculate the lowest common multiple of 10 and h.
20
Suppose -2*g + 0*g = -8. Let n = 16 - g. Calculate the least common multiple of 14 and n.
84
Suppose -18 = -3*u - 5*o, 2*o - 2 = 4*u - 0*u. Suppose -5*i = -2*t + t - 9, t - u = 0. Calculate the lowest common multiple of 8 and i.
8
Let r = 48 + -26. What is the lowest common multiple of 2 and r?
22
Let m = 116 - 114. What is the smallest common multiple of m and 1/(1/(-2)) - -3?
2
Let m(q) = q**3 - 2*q**2 - 2*q - 1. Let r be m(3). Suppose r*b + 24 = -0*b. What is the common denominator of 4/(-6)*(-23)/b and -57/2?
18
Suppose -4*b - 10 = -3*n + 76, 3*n - 3*b - 81 = 0. Calculate the common denominator of (82/6)/(n/3) and -89/20.
220
Suppose 0 = -5*l - i + 23, 4*i = -3*l - 0*i + 24. What is the smallest common multiple of (9 - 13)*(-10)/l and 14?
70
Let j be (1/3)/((-148)/(-8)). Let w = j + -1007/444. Calculate the common denominator of 4/2 - 121/(-12) and w.
12
Let h(t) = -t**2 - 1 + 11*t + 0 - 2*t. Let y(g) = 1. Let a(q) = h(q) + 4*y(q). Calculate the smallest common multiple of 6 and a(9).
6
Let z be 16/6*(-39)/14. Let q = -501/140 - z. What is the common denominator of 30/(-8)*(-10 - 0) and q?
20
Let l = 42839/6864 - 23/429. What is the common denominator of -23/14 and l?
112
Suppose 5 = -m - 5*x, -4 = -2*m + 2*x + 22. Let h(y) = y. Let c be h(6). Suppose 0 = -l + c - 2. What is the lowest common multiple of l and m?
20
Let j = -82 - -136. Suppose -3*s + j = 4*b, 7*s - 4*b - 72 = 3*s. Calculate the smallest common multiple of 16 and s.
