a. Calculate the common denominator of n and -35/16.
80
Let j = 13 + -13. Calculate the common denominator of 8/9 and 388/(-16) - (-2 + j).
36
Let q = 13 + -35. Let u be (-8)/44 - 576/q. Suppose 71 - u = 5*l. What is the least common multiple of l and 3?
9
Suppose 4*u = u + 408. Suppose -7*r - 2*m = -2*r - u, 5*m = 15. What is the smallest common multiple of r and 10?
130
Suppose -r + 5*q + 3 + 2 = 0, 0 = -3*r - q + 31. What is the lowest common multiple of 10 and r?
10
Suppose 0 = -2*i - 3*i - 5. Let g = -15 - i. Let o = g - -6. What is the common denominator of o and 61/5?
5
Let u = -13 - 31/4. Let q = -59/13 + 2351/286. Calculate the common denominator of q and u.
44
Let o = -4 + 7. Suppose -o*z + 8*z - 10 = 0. Let w = 2 + 4. What is the lowest common multiple of z and w?
6
Suppose 0*c - 56 = 4*x - 4*c, -3*x = 2*c + 27. Calculate the common denominator of 5/11 and x.
11
Suppose 0 = 3*y + z - 60, 3*y + 8*z = 4*z + 60. Calculate the lowest common multiple of 2 and y.
20
Suppose -x + 42 = x + 2*z, -5*x + 101 = z. Suppose 0*o - x = 4*o. Let d(f) = -f**3 - 6*f**2 - 4*f + 7. Calculate the lowest common multiple of 10 and d(o).
10
Let s = -3 - -5. Calculate the least common multiple of s and 6.
6
Let z(u) = 366*u + 1. Let q be z(1). What is the common denominator of q/(-10) - 12/15 and 73/2?
2
Calculate the common denominator of 1 + (3 - 34/20) and 69/10.
10
Suppose -4*n + 8 = 3*k, 3*k = k - 2*n + 6. What is the least common multiple of k and 12?
12
Suppose -1 = -0*n + n. Let u = 9 - n. Calculate the lowest common multiple of u and 2.
10
Suppose 88 = -6*v + 10*v. Suppose y - 3*y - 4 = -5*x, 5*y - x = 36. Calculate the smallest common multiple of v and y.
88
Let y = 11 + -17. What is the smallest common multiple of 3 and ((-50)/15)/(y/9)?
15
Calculate the lowest common multiple of 8/5 + 22/55 and 8.
8
Let b = -637 - -2573/4. What is the common denominator of 32/11 and b?
44
Let x = 5 + -6. Let o be 1/((-5)/(-4) + x). Suppose 0 = 4*l, 0 = u - o*l + 3 - 4. What is the least common multiple of 7 and u?
7
Suppose -4*u + 3*u + 4 = 0. Calculate the least common multiple of 22 and u.
44
Let m = -7541/784 - 5/784. Find the common denominator of m and 13/7.
56
Let d = -23 + 29. What is the smallest common multiple of 3 and d?
6
Find the common denominator of 10/4*(-198)/(-40) and -31/4.
8
What is the common denominator of 89/2 and (6/261)/((-16)/444)?
58
Calculate the least common multiple of (-1542)/(-102) - 10/85 and 20.
60
Let a = 32 - 20. Suppose -s - 2*x + 20 = -0, 0 = 3*x - 15. Calculate the lowest common multiple of s and a.
60
Let m = -15753 - -315159/20. Calculate the common denominator of (129/36)/(2/(-4)) and m.
60
Let x = 14/33 - 41/330. Find the common denominator of x and -13/54.
270
Let t(l) = l**3 + 2*l**2 - 5*l - 2. Calculate the lowest common multiple of t(-3) and 4.
4
Let g be 15*4/(64/(-1183)). Let y = g - -1110. Calculate the common denominator of y and -73/2.
16
Let c(m) = 7*m + 1. Let j be c(-1). Let t = j - -11. What is the lowest common multiple of t and 5?
5
Suppose p + 2*w + 39 = 4*p, 5*p = 5*w + 70. What is the least common multiple of 11 and p?
11
Let t = 4 - -10. What is the smallest common multiple of t and 6?
42
Let r be (-2 + 1 - 1) + 6. Calculate the common denominator of 63/5 and ((-3)/20)/(r/(-288)).
5
Let b = 60348 + -2534761/42. Calculate the common denominator of 73/6 and b.
42
Let k be (-4)/14 - 33798/(-20097). Let f = -13/87 - k. Calculate the common denominator of f and 29/6.
66
Let h(w) = -32*w + 7. Let g be h(5). Let q = 4929/2 + -2331. Let i = q + g. What is the common denominator of i and -43/9?
18
Let c = -13 + 3. Calculate the least common multiple of c/(-3)*27/18 and 7.
35
Let d = 147 - 367/2. What is the common denominator of -11/18 and d?
18
Let g = -50 - -105. Suppose -2*q + 7*q = g. Calculate the lowest common multiple of q and 1.
11
Let q = 2 - -2. Let s be (-8)/(-5)*30/q. Find the common denominator of (-10)/((s/27)/1) and -35/16.
16
Suppose n - 9 = -7. What is the least common multiple of 13 and n?
26
Let k(m) = 2*m + 20. Let p be k(-9). Find the common denominator of 819/(-70) - (p + -2) and 109/22.
110
Let x(s) = -4*s + 6. Let j be x(4). Let y be (0 - 2)*j/(-4). What is the lowest common multiple of 105/25 - (-1)/y and 3?
12
Suppose 3*q - 52 = -5*j, -71 = -4*j + 4*q - 23. Let y = j - 4. Calculate the lowest common multiple of 6 and y.
42
Let d(q) be the third derivative of q**5/60 + q**4/8 - q**3/6 + 4*q**2. What is the smallest common multiple of -1*2/4*-22 and d(-5)?
99
Let n(h) = 3*h + 1 - 3*h + 4*h - h - h**2. Let g(d) = -d + 9. Let v be g(7). What is the lowest common multiple of 1 and n(v)?
3
Let h(m) = 8*m. Let y be h(1). Suppose 0 = 5*j - 2 - y. Calculate the smallest common multiple of j and 22.
22
Let x = -7 - -10. Suppose -9 = -x*b - w, -4*w = -2*b - 2*w + 14. Find the common denominator of -67/10 and b/(-6)*(-141)/2.
10
Let a be (-5909)/6 - 1/(-3). Let i = a - -1010. Find the common denominator of -21/22 and i.
22
Let j = 9 + -16. Let h = -16 + 18. What is the lowest common multiple of h and -1 + (-1 + 1 - j)?
6
Let o = -74519/10 - -7463. Calculate the common denominator of 28/5 and o.
10
Let f = 295222 - 2971207/10. Let o = f - -1897. Calculate the common denominator of -57/8 and o.
40
Let b(t) = 21*t**2 - t + 2. Let p be b(-2). Let k = p + -58. What is the common denominator of 47/7 and 4/k*(-81 - 0)?
35
Let q(t) = t**3 - 2*t - 3. Let g(v) = -v + 12. What is the lowest common multiple of g(6) and q(3)?
18
Suppose -3*w - 3 = 5*g, -2*g + 3 - 9 = 0. What is the smallest common multiple of w and 10?
20
Suppose 4*d = 43 - 3. Calculate the lowest common multiple of d and 1.
10
Let r = 4 - 0. What is the smallest common multiple of 10 and r?
20
Let l = -11 - -16. Suppose 0 = l*f - q - 4*q + 10, 5*f + 6 = 4*q. Calculate the common denominator of f + 2*(-174)/16 and -67/20.
20
Let k = 1/196 - -673/2548. What is the common denominator of k and 113/6?
78
Let q(k) = 2*k**2 - 9*k + 13. What is the least common multiple of q(5) and 12?
36
Calculate the least common multiple of 9 and 3/((-3)/2 - -2).
18
Let o(x) = -7*x**3 - 2*x**2 + 1. Let g be o(1). Let p be (-21 - -17)*(-17)/2. Calculate the common denominator of 83/16 and p/6 + 2/g.
48
Let x = 2/691 - 4849/4146. Let w = 365 - 1067/3. Calculate the common denominator of x and w.
6
Suppose -4*t + 7*t = l - 9, 12 = 2*l - 3*t. Calculate the least common multiple of 1 and l.
3
Suppose -9 = 3*i + 5*w, -3*i + 5*w = -26 + 5. Calculate the lowest common multiple of i and 6.
6
Find the common denominator of 69/22 and (-216)/64 - 6/8.
88
Suppose -o + 12 = 3*o. What is the common denominator of (-1)/o - (-458)/(-120) and 89/16?
80
Let a(v) = v**3 - 4*v**2 - 3*v + 4. Suppose 3*l = -2*l + 15. What is the smallest common multiple of l and a(5)?
42
What is the least common multiple of 5 and (-140)/(-75) + 4/30?
10
Suppose -3*d + 7 = -5*l + 2, -1 = -3*l + d. Let k = 15 + 1. Calculate the lowest common multiple of l and k.
16
Suppose 12 = -5*q + 2. Suppose 5*d = -3*j + 9, 4*d = 4*j - 0 + 20. What is the lowest common multiple of -2 - (-7 + (-4)/q) and d?
3
Calculate the smallest common multiple of ((-8)/(-6))/(14/231) and 64.
704
Suppose 4*q - 2 = 2. Let y = q + -1. Suppose -2*j + 5*i = i - 4, y = -2*j - 2*i + 28. Calculate the lowest common multiple of 18 and j.
90
Let m = -391 - -48483/124. Calculate the common denominator of 115/6 and m.
372
Let y = -5791 + 46423/8. What is the common denominator of -121/18 and y?
72
Let u = -822979/3 - -748909339/2730. Let o = -12/91 + u. Find the common denominator of o and -43/3.
30
Suppose -36 = 5*q + 4*a, -q - 5*a + 4 = 7. Let w = q + 8. Suppose 0 = m + 2*y - 4*y - 22, 3*m + y - 45 = w. What is the least common multiple of 8 and m?
16
Let i = -57/29 + 1869/464. Calculate the common denominator of -3/14 and i.
112
Let f = 3/14 - -198/7. Suppose -11 = -4*j - o, -4*j + 7*j = o + 10. Find the common denominator of (-11)/(-18) - (-5 + j) and f.
18
Let f = -5082/13 - -28919/78. What is the common denominator of (2 - 1) + (-52)/72 and f?
18
Find the common denominator of 21*(-2)/(-6)*-4 and -8/3.
3
What is the common denominator of 49/10 and -1*(-4 - -3)*(-153)/69?
230
Let m be 4/6 - 39/(-9). Suppose 3*y - 14 = -2*v, v + 0*v -