*a. Let o(i) = -i**2 + 5*i + 7. What is the least common multiple of 10 and o(f)?
70
Suppose -b - 6 + 21 = 0. Let d = b + -7. What is the smallest common multiple of d and 10?
40
Suppose 2*t + t + 4*d = 22, -t + 4*d - 14 = 0. Calculate the common denominator of -145/6 and (-31)/(5/t*1).
30
Let m be (1/36)/(166/6). Let h = m + -56281/6972. Find the common denominator of -51/20 and h.
140
Suppose 2*j - 1 = 35. Suppose 2*n - y + 7 = 40, -5*n - y + 65 = 0. Calculate the lowest common multiple of n and j.
126
Suppose 0*n - 5*n - 68 = -4*f, 5*n + 4*f + 52 = 0. Let x = 21 + n. What is the least common multiple of 10 and 12*(21/x + -2)?
20
Suppose 18 = -c + 2*c - 2*d, -4*c - 5*d = -7. Let l(i) = i**3 - 7*i**2 - 9*i + 7. Let x be l(c). Calculate the lowest common multiple of 3 and 0 + 2 + x + 6.
21
Let k(c) = c**3 - 12*c**2 + c - 3. Let z be (32/20)/((-4)/(-30)). What is the smallest common multiple of 1 and k(z)?
9
Let x = 63 - 43. Suppose -4*k = -2*k - x. What is the least common multiple of 1 and k?
10
Let o = -331/10 + 55/2. Calculate the common denominator of (1*-43)/(-11 - 0) and o.
55
Let b(c) = 3*c - 9. What is the smallest common multiple of b(6) and 1?
9
Let o be 13/2 + 12/(-8). Suppose 4*w - 4 = 2*i + w, 2*w + 1 = o*i. Let n(c) = -c**2 - 5*c + 8. What is the smallest common multiple of n(-6) and i?
2
Suppose -10 + 4 = -2*c. Suppose -c*u + 57 = 3. Calculate the least common multiple of u and 18.
18
Suppose -q + t - 9 = 0, 3*t - 2*t + 6 = -2*q. Let d(n) = n**3 + 5*n**2 + n + 3. Let o be d(q). Calculate the least common multiple of (-48)/(-5) + o/(-5) and 9.
90
Let i be ((-4)/112)/(3/32). Let m = -121/42 - i. Find the common denominator of (-3)/10*(-245)/(-14) and m.
4
What is the common denominator of (-231)/(-110)*(34/48 + 2) and 1/108?
432
Let h(j) = j**3 + 6*j**2 - 7*j + 4. Suppose 5*c = -5*z - 40, z + 22 = -3*c - 0*z. Suppose 90 = 2*r + 3*r. What is the least common multiple of h(c) and r?
36
What is the lowest common multiple of 2 and (-6 - (-96)/15)/(2/20)?
4
Let z be (-10)/(-75) - 62/15. Calculate the smallest common multiple of ((-11)/2)/(z/8) and 6.
66
Let d = 2119/555 + -2/111. Calculate the common denominator of 109/10 and d.
10
Let g = -19541419/2466 + 117874/137. Let f = -7070 - g. Let d = -4327/412 - -1/412. What is the common denominator of f and d?
18
What is the common denominator of 27/10 and 6/(-11) - (-639)/22?
10
Suppose 0 = -3*f + 2*q + 33, -2*f + 2*q - 5 = -29. What is the lowest common multiple of 6*(-1 + 21/f) and 10?
40
Let m(o) be the second derivative of 1/2*o**3 + 3*o**2 - o - 1/4*o**4 - 1/20*o**5 + 0. What is the lowest common multiple of 4 and m(-4)?
20
Let g = 11 - 18. Calculate the lowest common multiple of 12 + (-1 - g)/3 and 8.
56
Let r = 9209 + -202525/22. Find the common denominator of r and 149/12.
132
Let l = -3 - -4. Let g be 0/l + -1 - -5. Suppose 3*h - g*h = -11. Calculate the smallest common multiple of h and 7.
77
Let d = -11851/4 + 2979. Let n = 93 + 0. Suppose -5*w = -n + 28. Calculate the common denominator of w and d.
4
Suppose 45 = -3*u + 12. Let i(g) = -2*g - 12. Calculate the common denominator of i(u) and -50/19.
19
Let n = 7548 - 150857/20. What is the common denominator of (3 - 2) + 217/98 and n?
140
Suppose 6*z - z + 5 = 0. Let g = z - -17. What is the least common multiple of 20 and g?
80
Let s = 35 + -21. What is the smallest common multiple of s and 22?
154
Suppose -2*i - 5 = -3. What is the common denominator of (500/56 - i) + -3 and 67/10?
70
Suppose 0 = 3*s - 11 + 77. Let a be 64/(-5) - 3/15. Let f = a - s. Calculate the lowest common multiple of 8 and f.
72
Let d = -39 - -79. What is the smallest common multiple of d and 14?
280
Let m be 1615/(-815) + 1 + 1. Let j = m + -679/1467. Find the common denominator of -25/8 and j.
72
Suppose 7*j = 4*j + 402. Let s(d) = -8*d. Let h be s(1). Find the common denominator of 107/10 and 4/22*j/h.
110
What is the least common multiple of 2/6 - (-286)/78 and 14?
28
Suppose -4*m + 77 - 5 = 0. Let r(t) = -3*t + 1. Let b be (-1)/(-2 + 3) - 0. Calculate the least common multiple of r(b) and m.
36
Let p = -29 + 35. What is the least common multiple of 20 and p?
60
Let k(v) = -2*v**2 + 4*v + 1. Let x be k(-4). Find the common denominator of -2 - 2/(32/x) and -29/8.
16
Let z = -588 - -5893/10. What is the common denominator of z and 3 + 250/(-24) + -2?
60
Let t = -1/57 - -3023/114. What is the common denominator of 26/7 and t?
14
Let a = 14/275 + 22797/550. What is the common denominator of a and 55/3?
6
Suppose -84 = -2*b - 2*b + 4*k, 2*k + 108 = 5*b. Calculate the lowest common multiple of 232 and b.
2552
Find the common denominator of (-5)/(-12)*15/20 and -53/2.
16
Calculate the common denominator of 91/30 and (-1700)/(-315) - 6/21.
90
Let f = 857/360 + -53/90. What is the common denominator of 13/6 and f?
24
Let p = -62 - -82. Calculate the lowest common multiple of 16 and p.
80
Find the common denominator of ((-130)/15)/((-16)/21) and 109/18.
72
Suppose -n + 7 = -1. Suppose q - 7 - 3 = 0. Calculate the smallest common multiple of n and q.
40
Suppose -19 + 5 = -2*j. Let l be (-27)/6*(-2 + 0). Let x = l - j. Calculate the least common multiple of x and 8.
8
Suppose -6*m + m = -275. Let c = m + -29. Calculate the lowest common multiple of 6 and c.
78
Let j = -3 - -7. Suppose -5*d + j - 9 = 0. Let p(r) = -8*r. What is the lowest common multiple of 11 and p(d)?
88
Suppose -5*w = -2*v + 15, 4*w + 30 + 0 = -2*v. Calculate the smallest common multiple of 6/v*(-60)/9 and 1.
8
Find the common denominator of 41/24 and 10/(-36)*-14 - (-3)/6.
72
Suppose 5*y - 3*y - 2 = 0. What is the least common multiple of 11 and y?
11
Find the common denominator of (8/(-28))/(4/(-115)) and 69/92*(1 - 398/42).
14
Let r = -453435/161 - -19815/7. Let w = r - 2449/230. Let q = 1269/2 - 657. Calculate the common denominator of q and w.
10
Suppose -3*p - 8 = -5*p. Let f(q) = 2*q - 15. Calculate the lowest common multiple of p and f(12).
36
Let l = -15/92 + -4341/460. Find the common denominator of -49/9 and l.
45
Let m = 2799 - 4597. Let d = m + 32413/18. Find the common denominator of d and -85/24.
72
Let z = -170/11 - -2083/154. What is the common denominator of z and 2/1 - 109/(-12)?
84
Suppose -58 = -5*a + 2. Suppose 0*k + 4*k = a. Calculate the least common multiple of 10 and 0 + 9/k - -5.
40
Let c(y) = y**3 + 9*y**2 + 5*y - 6. Suppose 75 = 3*i + 2*i. Let o = 25 - i. Calculate the lowest common multiple of o and c(-8).
90
Calculate the common denominator of ((-235)/(-105))/(1/3) and -81/8.
56
Let d = 2 + 8. Calculate the least common multiple of 16 and d.
80
Let i be (2 + -1)*(-12 - -9). What is the common denominator of (-745)/(-30) + 1 + i and 95/22?
66
Suppose -5*o + 3*n = 4*n + 9, -3*n = -2*o + 10. Let u(z) = -3*z**3 - 2*z - 1. Suppose 48 + 24 = 4*y. Calculate the least common multiple of u(o) and y.
36
Let s be 1/5 + 41/(-5). Calculate the smallest common multiple of 20 and 3/6*-5*s.
20
What is the common denominator of -117/20 and (-2)/2 + (-77)/(-20)?
20
Suppose 3*u + 0*u = 18. Suppose -4*i - u = o, -i + 3 = -0*i. Find the common denominator of 13/8 and ((-2)/16)/(o/2760).
24
Find the common denominator of 59/6 and (348/(-40) - 4) + 1.
30
Suppose 0 = 5*v + 1 + 4. Let g = v - -29. What is the smallest common multiple of 2 and g?
28
Let a = -102571/126310 + 1578/743. Let t = a - -112/17. Let j = -243951/30758 + 6/2197. Calculate the common denominator of t and j.
70
Suppose -5*v = -0*v + 4*t, -4*t = -3*v + 32. Suppose v*o - b = 4*b + 93, -5*b + 105 = 5*o. What is the least common multiple of o and (-6)/(-21) + (-54)/(-7)?
88
Calculate the common denominator of -3*22/(-21) + 0 and 2 - 34*(-14)/24.
42
Let t = 52 - 40. What is the least common multiple of t and ((-6)/(-8))/((-1)/(-24))?
36
Let o = 0 + 5. Suppose -4*u - 15 = -5*p + u, -o*u = -p - 17. What is the smallest common multiple of p and 2?
8
Suppose 5*q = 2*v - 27, -3*v = -4*q - 18 - 5. Let o = 3 - v. Suppose s - 5*i - 12 = 2*s, -2*s = 5*i + 9. Calculate the lowest common multiple of s and o.
6
Let l = 27 - 11. Let k(r) = -r**2 - 10*r - 8. Calculate the lowest common multiple of k(-8) and l.
16
Let v(w) = w. Let u be v(4). Suppose -5*h + u - 14 = 0. Let k = h + 4. Calculate the smallest common multiple of k and 