be (-3600)/(-112) + 2/(-14). Find the common denominator of 25/18 and 8/x - (-269)/12.
18
Find the common denominator of -61/5 and (2/120)/(-7*(-7)/8918).
30
Let x be -177*(-5)/15 - -1. Let z = x + -55. What is the smallest common multiple of z and 13?
65
Let j = 0 + 20. Suppose 0 = -4*v + 108 + j. Suppose 4*u - v - 48 = 0. What is the common denominator of u and -27/10?
10
Let b be (-7 - -3) + (-247)/(-116). Let f = b - -18/29. Find the common denominator of f and 71/8.
8
Let u be (2 + 337)*(-89 + 2). Let j be (3/180)/(33/u). Let y = j + 171/11. Find the common denominator of y and 85/16.
80
Let w = 475/3 + -2929/18. Find the common denominator of 63/16 and w.
144
Calculate the lowest common multiple of 22 and (56/(-6))/(((-1)/24)/1).
2464
What is the smallest common multiple of 10 and -14 + 10 + 1/(2/16)?
20
Let n be (140/(-16))/((-5)/(-20)). Let m = -24 - n. What is the lowest common multiple of 6 and m?
66
Calculate the smallest common multiple of 55 and 22/(-1*(-8)/16).
220
Let u = -968 + 177197/183. Calculate the common denominator of 14/5 and u.
915
Suppose -j + 45 = -3*a, 3*a - a = -4*j - 44. Let s = 73 + -46. Let z = a + s. Calculate the least common multiple of 1 and z.
11
Suppose 2*r = -5*c - 12, 4*r - c = 7 + 13. What is the least common multiple of r and 60?
60
Let s be (-1)/4*-1*12. Suppose 0 = -s*o - 3*h, -o + 3*o + 3*h + 1 = 0. Suppose -o = n - 10. Calculate the least common multiple of n and 2.
18
Let v(b) = 2*b**3 + 19*b**2 - 9*b - 17. Let t be v(-15). Let z be (-6 - -16)*t/8. Let y = -2969 - z. Calculate the common denominator of y and 41.
4
Suppose 3*n - 1 = n + 5*t, -3*n + 3*t + 6 = 0. Let j(b) = 30*b. Calculate the smallest common multiple of j(1) and n.
30
What is the common denominator of (2/10)/(5/((-1375)/(-520))) and 11/208?
208
Let x = -13759 - -687919/50. What is the common denominator of x and 83/22?
550
Let o = 3313 + -29744/9. Find the common denominator of o and (33 - 29)*(-2)/(88/(-46)).
99
Suppose -3*c = 321*t - 322*t - 10, -2*c = -5*t - 24. Calculate the least common multiple of 80 and c.
80
Let g(q) = -54*q + 9. Calculate the least common multiple of g(-1) and 35.
315
Suppose 0*x + 3*x = 12. Suppose -x + 5 = q. Calculate the least common multiple of q and 10.
10
Find the common denominator of (-427)/(-70) - (6 + (-204)/30) and 1 + (-2)/((-40)/(-214)).
10
Let n be (6/(-6))/(219/6). Let x = n - -963/511. What is the common denominator of x and -45/131?
917
Suppose -5*g + 10 = 5*h, -4*g + 7 + 1 = 2*h. Suppose -z + 12 = z + g*b, -3 = b. Calculate the lowest common multiple of 5 and z.
45
Let l = -4 + 8. Let p be (-39)/(-12) + 3/l. Suppose m - 5 = -p*m. Calculate the smallest common multiple of 5 and m.
5
Let b = 2439/8 - 4929/16. Let f(a) = 440*a**3 + a**2 - 1. Let o be f(-1). What is the common denominator of b and (-2065)/o - 4/(-22)?
16
What is the common denominator of -1/233 and 19/57 + (-122)/(-30)?
1165
Let i = 1585/2538 + 69/47. What is the common denominator of i and 1/198?
594
Let v = -44 - -267. Let a = v - 28. Let d = a + -1557/8. Find the common denominator of d and -74/3.
24
Let n(p) = -2*p**3 + 26*p**2 + 2*p + 19. Calculate the least common multiple of 15 and n(13).
45
Let p = 258461/40 - 6463. Find the common denominator of p and -37/160.
160
Suppose 20*s - 27*s + 28 = 0. Calculate the smallest common multiple of s and 12.
12
Suppose -21 = -4*t + 3*i - 4, -3*t - 4*i - 6 = 0. Let c = -5 - -15. What is the smallest common multiple of t and c?
10
Suppose -9*g + 252 - 9 = 0. Calculate the lowest common multiple of g and 93.
837
Let h = 1296 - 28571/22. Calculate the common denominator of -9/68 and h.
748
Suppose 0 = -2*l - 6*l + 248. Suppose -l + 7 = -4*g. Calculate the lowest common multiple of 24 and g.
24
Suppose -2*j = -j - 3. Suppose 0 = j*c - 13 + 1. What is the least common multiple of ((-24)/(-30))/((-10)/(-225)) and c?
36
Let s = 4 - 0. Calculate the smallest common multiple of s and (-10)/(-15) + (-39)/(-9).
20
Suppose 0 = 2*h - 3*r + 38 + 19, 0 = h + 5*r - 4. Calculate the common denominator of 47/5 and 14/21 - (-47)/h.
35
Suppose -5*u + 179 = 4*n, n + 0*u - 49 = 3*u. Suppose -i + n = -3*q, -346 = -5*i + 3*q - 80. What is the least common multiple of i and 25?
275
Let f = -109/11482 - 146698901/91856. Let k = -1599 - f. What is the common denominator of k and -87/34?
272
Let i(p) be the second derivative of -p**3/3 - 4*p**2 - 7*p. Let v be i(-6). Suppose 4 - 92 = -v*s. What is the smallest common multiple of 2 and s?
22
What is the common denominator of -62/9 and 138/(-9) - (6 - -1)?
9
Let b(x) = -x**3 - 19*x**2 - 18*x + 6. Let c be b(-18). Suppose -15*h - c = -13*h, -48 = -4*i - 4*h. What is the common denominator of -17/9 and i?
9
Let o(k) = -k**3 - 3*k**2 + 37*k - 12. Calculate the least common multiple of o(-8) and 210.
420
Let o(j) = 2*j**2 - 37*j + 3. Calculate the smallest common multiple of o(19) and 18.
198
Let u be (74/(-6))/(5 - (-58)/(-12)). Calculate the common denominator of 64/3 and 2/(-8)*u/(-12).
24
Suppose 9 = 3*z - 15. Calculate the lowest common multiple of (-1 - -4)/(-6)*-16 and z/6 + 12/18.
8
Suppose 3*n = 4 + 5. Suppose 4*p + 24*f + 1 = 25*f, -2*f + 5 = -5*p. Calculate the smallest common multiple of n and p.
3
Suppose 0 = 6*i - 4 + 64. What is the smallest common multiple of 16 and (-166)/i + (-6)/10?
16
Let n(p) = -p**3 - 4*p**2 + 7*p + 10. Let j be n(-5). Suppose j = -2*y + 7*y + 40. Let t = y - -16. Calculate the lowest common multiple of 8 and t.
8
Suppose 3*f - 4*g = -2 - 1, -5*f - 3*g = 5. Let l be f + 1 + (-24471)/(-180). Let s = l + -136. Find the common denominator of s and 5/4.
20
Let w = 92158/727 - 262066096/15267. Let a = w - -17042. What is the common denominator of a and 103/6?
42
Suppose o - 98 = 12*l - 9*l, -4 = -l. Calculate the smallest common multiple of 77 and o.
770
Suppose 0 = -i - i + 3*s + 23, -4*s - 16 = i. Let k be 2/i - 5/2. Calculate the common denominator of -35/2 and 89/(-1)*k/8.
4
Let g be 246/4*(-8)/(-6). Suppose 4*s = -5*d + 2*s + g, -5*s + 53 = 3*d. What is the smallest common multiple of 6 and d?
48
Calculate the least common multiple of 28 and (18/(-3) - -3)*-35.
420
Suppose -203 + 5 = -6*z. Let u = z + 0. Calculate the smallest common multiple of 18 and u.
198
Let a = 632 + -522. Calculate the least common multiple of 35 and a.
770
Let j = -1839311/421230 - 2/14041. Calculate the common denominator of j and (2 - 15/8)*((-383032)/(-87))/26.
30
What is the common denominator of 103/120 and (1 + 898/(-162))*(-558)/3720?
1080
What is the common denominator of 20/243 and 14/(-91) - (-6)/(-1170)*1842?
1215
Let l = 409 + -385. Calculate the least common multiple of l and 1.
24
Let z = 2552/5 + -252763/495. Calculate the common denominator of 27/77 and z.
693
Let a be 2 - (2 + 1*-4). Suppose 0 = -3*h + s - 4*s + 30, 2*h + a*s = 28. What is the smallest common multiple of (-6)/(-7 + 6) - (-6 - -1) and h?
66
Suppose 5*l + 2*t = t + 50, 20 = -4*t. Let m = 120 - 115. Calculate the least common multiple of l and m.
55
Calculate the common denominator of 1/(-1 + 17)*(-4917)/990 and 81/14.
3360
Let l be ((-204)/(-18))/((-1)/21). Let i be (-1)/(-2) - 553/l. Let z = -193/34 - i. What is the common denominator of z and 22/5?
10
Let n = 19 - 13. Let g(j) = -j**3 + 8*j**2 - 7*j + 9. What is the lowest common multiple of g(7) and n?
18
Let r be (75*10/15)/2. Let c = -16 + r. What is the smallest common multiple of c and 1?
9
Suppose 0*l - 3*l - 11 = 4*m, 6 = -3*m. Let b = 22957/4592 + 54/287. Find the common denominator of b and -1 + l - 147/48.
16
Let b be -1 - (-4 - 0 - -1). Suppose -20 = -5*i + 3*t, 2*i - b*t + 4 = 3*i. Let d = i - 2. What is the least common multiple of 18 and d?
18
What is the common denominator of ((-9)/(-138))/((-54)/71) and 73/2?
828
Let i(r) = r + 28732. Let h be i(0). Suppose 4*g - 8424 = h. Let o = -278807/30 + g. Find the common denominator of o and -23/7.
210
What is the least common multiple of (-22 - -1)*-3*(2 + -1) and 7?
63
Suppose 1103 = 60*p - 697. Calculate the smallest common multiple of 6 and p.
30
Let y = 3505/18 + -188. Find the common denominator of 3/(-9) - 4/(1344/(-1048)) and y.
126
Suppose -p = 3*h - 0*h - 21, 5*h = 5*p - 105. Let k = -16 + p. Suppose 0 = k*b + 7 - 17. What is the common denominato