Let f = -4/105 + -1/35. What is the common denominator of f and -4/15?
15
Let s be (-2805)/(-4) - (4 + -2). Let v = 710 - s. Calculate the common denominator of 4/(-6)*273/(-44) and v.
44
Suppose 3*w + 3*y - 18 = 0, -y - 3*y - 16 = 0. Let s(q) = -2*q + 6. What is the least common multiple of s(-5) and w?
80
Suppose -j + 5 = 4. Let h = 39/28 + -3/28. Calculate the common denominator of h and 0 - (141/15 + j).
35
Let g = -61 + 38. Let n = -18 - g. Suppose -5*q = -29 - 6. What is the smallest common multiple of n and q?
35
Suppose -3*b + 2*b + 4 = 0. What is the smallest common multiple of 6 and b?
12
Let c(n) be the third derivative of n**6/120 - n**5/12 - 5*n**4/24 - n**3/2 + n**2. Let g = -9 - -15. What is the smallest common multiple of 7 and c(g)?
21
Suppose x + 4*j - 8*j - 16 = 0, 0 = 2*x - j - 32. Calculate the lowest common multiple of 10 and x.
80
Let h(q) = -q**3 + q**2 + 7. Suppose 0 = 3*c - 6*c. Let u be h(c). Suppose 3*g = -3*y, 0 = g + u - 4. Calculate the smallest common multiple of y and 10.
30
Let m(i) = 5*i**3. Let x be m(2). Let b = 70 - x. What is the smallest common multiple of 14 and b?
210
What is the common denominator of (-2)/9 - 1393/(-315) and -125/6?
30
Let s = 7/305 + 17939/2440. Find the common denominator of s and 21/32.
32
Let v = -7087 - -77905/11. What is the common denominator of -27/7 and v?
77
Let h(b) = -b**3 + b**2 + 2*b - 4. Let f be h(4). Calculate the common denominator of -11/10 and ((-1)/12)/((-2)/f).
30
Let d = 15 - 3. What is the least common multiple of 12 and d?
12
Let k = 6 + 0. Let s = -34 + 74. Suppose -3*h + s = -5*g - 12, 5*g = -5*h + 20. Calculate the least common multiple of h and k.
18
Suppose -2*s = 2*j - 22, 2*s = -5*j + 4*j + 18. Calculate the lowest common multiple of 4 and s.
28
What is the common denominator of (-92)/16 + 0 + 3 and -69/10?
20
Let h = 2 - 0. Let i(s) = 6 - 2*s**h + 0*s**2 - 6*s + 3*s**2. Calculate the smallest common multiple of i(5) and 7.
7
Let l(n) be the second derivative of -n**5/20 - n**4/12 + 2*n**2 + n. What is the smallest common multiple of 9 and l(0)?
36
Let j = -18 - -34. Suppose 2*p - 10 = -2*l - 0*l, 5 = -p. Calculate the least common multiple of l and j.
80
Let t(k) = -k + 1. Let u be t(-2). Let h(s) = s**2 - 2*s + 2. Calculate the common denominator of 87/2 and h(u).
2
Let u(y) = y**3 - 3*y**2 + y - 1. Let x be u(3). Let k = -5 + x. Calculate the least common multiple of (-30)/k + -3*1 and 5.
35
Let w = -59 + 80. Calculate the least common multiple of w and 10.
210
Let y = 105 - 89. Calculate the smallest common multiple of 28 and y.
112
Calculate the smallest common multiple of (-27)/(6*(-3)/12) and 18.
18
Let s = 3 + 1. Suppose -3*n + 0*n + 12 = 0, 2*a = n + s. Let f = -5 - -17. What is the lowest common multiple of a and f?
12
Let n(g) = -g - 7. Let w be n(6). Let p = -8 - w. Calculate the smallest common multiple of p and 5.
5
Let q(d) = -d. Let z be q(1). What is the common denominator of (97/6)/z*1 and (2 - (-237)/(-120))/(4/488)?
60
Suppose -49 = -4*l + 3. Let o = -6 + l. Calculate the least common multiple of 9 and o.
63
Suppose 2*i + 4 = i. Calculate the common denominator of -81/8 and 5/(-20)*93/i.
16
Calculate the common denominator of (5/(-3))/((-12)/57) and -99/94.
564
Suppose -2*i + 27 = -5*i. Let w = 12 + i. Suppose -46 = -w*g - g - d, g + 3*d - 6 = 0. What is the smallest common multiple of 22 and g?
132
Let j(a) = 6*a - 13. Let y(u) = 7*u - 14. Let d(q) = 6*j(q) - 5*y(q). Calculate the least common multiple of 6 and d(14).
6
What is the common denominator of -93/10 and 1748/(-748) - 2/17?
110
Let x = 19 + -11. Calculate the smallest common multiple of x and (-50)/(-20)*(-24)/(-10).
24
Suppose 0 = -p - 2*s - 32, 6*p - p - 2*s = -100. What is the common denominator of -49/4 and (p/(-4))/((-6)/(-3))?
4
Let i(v) = -23*v**2 + 5*v + 6. Let m be i(-11). Let a = m - -22621/8. Find the common denominator of a and -125/6.
24
Suppose 5*v - 16 - 99 = 0. Find the common denominator of v and -81/10.
10
Let q(g) = g**2 - 4*g - 3. Suppose n = 4*s + 1, -3*n = 4*s - 19 - 0. What is the lowest common multiple of q(n) and 2?
2
Let n(o) = 4*o. Suppose 5*z - 3 = 2. Let t = z - 0. Calculate the lowest common multiple of 4 and n(t).
4
Suppose 0*s - 3*s = 2*l + 940, -s = -4*l - 1852. Find the common denominator of 4/2 - (-570)/36 and 9/42*l/12.
42
Let a = -285/23942 + -5164609767/239420. Let f = 19150 + -40727. Let u = a - f. Calculate the common denominator of 29/18 and u.
180
Let w(i) = -i**2 - 7*i - 1. Suppose 2*f = 2*t - 2, 4*t + 2*f = -3*f - 5. What is the smallest common multiple of w(-5) and ((-2)/(-8) - t)*12?
9
Let u(b) = b**3 + 4*b**2 + 2*b. Let z be u(-3). Calculate the smallest common multiple of -2 + z - 3/(-1) and 2.
4
Let q(p) = -p. Let g be q(-5). Let h = 13 - g. Suppose 2*d = 5*d - 36. Calculate the smallest common multiple of d and h.
24
Let g be 2/(-6) + (-21)/(-9). Suppose 33 = 3*i + q, -2*q - g*q = -i + 11. Calculate the least common multiple of 3 and i.
33
What is the common denominator of -91/32 and ((-9)/6)/((-72)/21)?
32
Let f be (-20)/70 - 74/(-14). Find the common denominator of ((-22)/(-18))/((-1)/4) and 1496/(-60) - 2/f.
9
Let w(d) = d**2 - d + 3. Suppose 0 = 5*f + 4*z - 12, f + 6*z - 2*z = 12. Let c be w(f). Find the common denominator of -89/20 and (-417)/(-24)*(-2)/c.
60
Let j = 17 + -24. Let b(w) = 5 + 20*w**2 + 22*w**2 - 43*w**2 - 7*w. What is the least common multiple of 7 and b(j)?
35
Suppose 2*g - 8 = -2*g. Suppose g*v - 20 = -2*v. Suppose 0 = v*x - x - 64. Find the common denominator of 49/2 and x.
2
Let o be (-4453)/98 + 1 - -3. Let y = o - 3/49. What is the common denominator of y and 10/3?
6
Suppose -69 - 756 = -15*b. Calculate the least common multiple of b and 25.
275
Let q be 1*4/((-8)/(-14)). Find the common denominator of -89/22 and q*(-39)/60 - 0.
220
Suppose 4*o + 3*r - 8 = 5*r, -o = r - 2. Let k(q) = -q**2 - 2*q + 4. Calculate the smallest common multiple of k(-3) and o.
2
Let i = 79 + -77. Suppose 2 = 2*b - 20. Suppose -2*t - 3 = -2*d + b, -3*d = -5*t - 15. What is the least common multiple of i and d?
10
Let k = 45 + -27. Calculate the lowest common multiple of k and 20.
180
Let y = -49271 + 33940. Let h = -9197 - y. Let p = 67425/11 - h. Find the common denominator of p and 17/11.
11
Let f = 56 + -33. Suppose -q + f = 1. Calculate the lowest common multiple of 4/1 + 14 + 2 and q.
220
Suppose -u + 2 = u. Let o be (u/(-168))/(1/(-332494)). Let h = o - 13928/7. Calculate the common denominator of -27/16 and h.
48
Suppose x + 3 - 4 = 0, -3*x + 313 = 5*m. What is the lowest common multiple of 18 and m/8 - 1/(-4)?
72
Let d(t) be the third derivative of 5*t**4/24 - t**3/2 - 2*t**2. Let h be d(-5). What is the lowest common multiple of (h/(-10))/(2/10) and 10?
70
Let h = -951/2 - -485. Find the common denominator of h and 5/14.
14
Let x = -5447/1036 + 2/259. Let a(y) = y - 3. Let h be a(4). Calculate the common denominator of (h/(-4))/(8/62) and x.
16
Let a = -3 - -17. What is the smallest common multiple of a and 2?
14
Suppose -4 = -5*l + 16. Suppose -g = -l*c + 14, g - c + 17 = 4*c. Let q = g - -4. What is the smallest common multiple of 14 and q?
14
Calculate the smallest common multiple of (7/(-2))/((-1)/4) and 16.
112
Let i be ((-44)/10)/(1/(-75)). Suppose 2*m + i = -3*m. What is the common denominator of -53/8 and m/(-16) - 2/(-4)?
8
Let x = -3310/9 + 369. Let i = 17159/11 - 1557. What is the common denominator of i and x?
99
Let n(s) = 17*s**2 + 1. Let o be n(-1). Suppose 0 = 2*u - u - o. Calculate the lowest common multiple of u and 18.
18
Calculate the common denominator of (-1)/(-2)*5/(-2) and (-123*(-10)/45)/(0 + -6).
36
Let b be (-2 - 4/(-3))*9. Let t(i) = i**2 + 4*i - 5. Calculate the least common multiple of t(b) and 8.
56
Suppose -4*f + 12 = m, 9*m + 4*f - 92 = 4*m. Calculate the least common multiple of 6 and m.
60
Find the common denominator of (-1)/(-30)*(-565)/2 and -33/16.
48
Suppose 2*y - 7*y + 80 = 0. Calculate the smallest common multiple of y and 16.
16
Suppose 4*d - d = 2*o + 28, -5*o = -4*d + 42. Calculate the least common multiple of d and 8.
8
Calculate the lowest common multiple of 31/3 - (-1)/(-3) and 16.
80
Suppose -2 = r - 5. Calculate the common denominator of (-123)/27 + -4 + r an