ommon denominator of k and -169/360.
360
Suppose 4*o = -u + 9, -2*u = -4*o - 3 - 3. What is the least common multiple of o and 10?
10
Find the common denominator of 77/54 and ((-1611)/396 + 4)*52.
594
Let t = -213932749283/84 - -2546745154. Let m = -492740/7 - t. Let f = 2902 - m. What is the common denominator of 89/12 and f?
12
Suppose q + 4*d + 119 = 1423, 2*q - 4*d - 2560 = 0. Calculate the common denominator of (-2 + 1)/(-3) - q/480 and -35/18.
180
Let s = -663943/27474 + -2/4579. Suppose 3*h = f + 6*h + 14, -2*h = -3*f - 42. Let d = -343/22 - f. What is the common denominator of s and d?
66
Suppose -1383*n = -1393*n + 10. Let k = 24 + -41. Let q = 28 + k. What is the lowest common multiple of n and q?
11
Suppose -24 + 12 = -j. Calculate the smallest common multiple of 56 and j.
168
What is the common denominator of (-11 - -8) + (259/(-18))/(-7) and 113/192?
576
Let f(t) = -8587086*t**3 + 2*t**2 - 2. Let p be f(4). Let v = -9460357809443/17214 - p. Let s = 14/453 - v. Find the common denominator of 85/6 and s.
114
What is the common denominator of 27/7 and (70600/10010 - 7) + (-1)/(-13)?
77
What is the least common multiple of 18 and 80/8 + 45 + 5?
180
Let q = -202/3 + 3157/48. What is the common denominator of q and 5/56?
112
Let y = -85 - -88. Suppose 0 = -y*r - q + 28, -r - 3 = 3*q - 15. What is the smallest common multiple of (-8)/(-2)*3/2 and r?
18
Let q(u) = -u**3 - 8*u**2 + 6*u - 13. Let z(a) = 2*a**3 + 6*a**2 - 4*a + 7. Let j be z(-4). Calculate the least common multiple of q(j) and 16.
112
Suppose 0 = 26*s - 589 - 1361. Calculate the least common multiple of 5 and s.
75
Suppose -8 = v + 5*z, -2*v + 0*z + 28 = -z. Suppose v*x - 156 = 8*x. Calculate the smallest common multiple of 15 and x.
195
Let q = -5 + 20. Let h = -2472 - -2481. Calculate the least common multiple of q and h.
45
Let k(r) = -5*r - 18. Let o(y) = -6*y - 4. Let i be o(-7). Suppose -i = -l + 3*x + x, 0 = 5*x + 25. What is the lowest common multiple of l and k(-8)?
198
Find the common denominator of 83/22 and (9/(-55))/(154/350).
242
Calculate the common denominator of ((-120)/(-540) + (-557)/252)*-2 and 61/18.
126
Suppose 8*d - 3 = 3*k + 5*d, -d = 0. What is the common denominator of -79/42 and (k/(-12))/(30/(-2120))?
126
Let d be (7 + 11)*1/3. Calculate the common denominator of 31/4 and (-53)/5 + (d - 3).
20
Let m be ((-2431)/136)/(1 - (-368)/(-366)). Let v = m + -3266. Calculate the common denominator of v and 71/36.
72
Let h = 44/7 + -767/14. Suppose -63 = 2*q + 15. What is the common denominator of 157/q - (-7)/21 and h?
26
Let h = -19/187 + -11927/2244. Let i = -23 - -43. What is the common denominator of h and ((-9)/i)/(9/42)?
60
Let u = -80 + 68. Calculate the common denominator of (1 + -3)/u*(-459)/12 and 7/8.
8
Let t = 4788917 + -67117989/14. Let a(w) = -43*w**3 + 29*w + 8. Let m be a(5). Let h = m - t. Calculate the common denominator of -81/2 and h.
14
Suppose -4*q = -4*b + 12, 2*q = 4*q + 2*b + 10. Suppose 5*x - 175 - 100 = 0. Calculate the common denominator of -13/6 and (2/q)/((-1)/x).
6
Suppose -2*v = -3*h - 15 + 73, -4*h = -5*v - 89. What is the smallest common multiple of 32 and h?
32
Let z(o) = 30*o + 146. What is the smallest common multiple of z(-4) and 12?
156
Let l be ((-10089)/1248)/(2/(-20)). Let d = -1016/13 + l. Calculate the common denominator of (7/((-14)/4))/((-24)/154) and d.
48
Let o = -46 - -111. What is the smallest common multiple of o and 130?
130
Let c(i) = i**3 - 8*i**2 + 10*i - 5. Let p be c(7). Let z = -8 + p. Calculate the common denominator of -3 + 2/z*-74 and -11/2.
2
Let i be 3/(-6)*(-2 - 4). Suppose 2*r + i - 15 = 0. What is the lowest common multiple of r and 24?
24
Let q be 4 + -18*24/(-9). Suppose -5*l = 2*y - 32, -5*l + l + q = -5*y. Calculate the smallest common multiple of 2 and l.
8
Let x = 10794307/10485 - -1/20970. Let u = 1003 - x. Calculate the common denominator of u and ((-30)/(-90))/(422/378 - 1).
22
Let r(u) = -u**2 + 36. Let n = 12605/3 - 4210. Find the common denominator of n and r(0).
3
Suppose 0 = -2*a - 3*p + 152, 2*a = 4*a - 2*p - 132. What is the lowest common multiple of a and 56?
280
Suppose 38*o - 6156 = -0*o. What is the lowest common multiple of 81 and o?
162
Calculate the smallest common multiple of (-609)/(-84) - 3/(-4) and 35.
280
Let j = 187 + -165. Calculate the smallest common multiple of 684 and j.
7524
Suppose 0 = -5*h, 0 = -5*t - 2*h + 434931 - 85626. Let m be ((-4041)/(-12))/(t/610). Let q = m - -30/2117. What is the common denominator of 69/22 and q?
22
Let f = 528 + -476. What is the smallest common multiple of 6 and f?
156
Let m(l) = -18*l - 22. Let a be m(-10). Calculate the common denominator of -35/4 and (-4 - -3) + a/(-24).
12
Calculate the common denominator of ((-2)/(-3))/(-5 + (-8057)/(-1617)) and 4/10 - (-413)/(-170).
34
Let o(i) = i**3 - 19*i**2 - 63*i + 30. What is the smallest common multiple of 9 and o(22)?
288
Suppose 3*x + 10 = 8*x. Suppose -4*u = -3*t + 8*t - 68, -4*u - x*t = -80. Calculate the lowest common multiple of -3 - u/(-2) - 1 and 2.
14
Let w be (-2)/14 + 91299235772/101363136. Let p = -1269660/1423 + w. Let u = 3/848 + p. Find the common denominator of u and -47/5.
15
Find the common denominator of 13/288 and 3/(63/101) + -8.
2016
Let i be (-20)/(-11085) - 0/(-1). Let k = -577562/14789 - -6447389765/196723278. Let p = i + k. Calculate the common denominator of p and 53/20.
180
Suppose 22 = 3*s + 5*l, -3*s = 3*l - l - 16. Suppose 0 = s*r - 29 + 9. Suppose r = m + 1. Calculate the least common multiple of m and 18.
36
Let z be ((-184)/(-16))/((-2)/(-4)). Let i = 25 - z. Calculate the smallest common multiple of 22 and i.
22
Suppose t = -0*z + 3*z - 19, -5*z + 2*t + 32 = 0. Suppose z*c - 2*c = -4. What is the common denominator of 29/2 and (72/(-297))/(c/(-12))?
22
Let r be (-1)/(-4) + -1 + 7/4. What is the least common multiple of 4 - r - (-6)/3 and 2?
10
Let v = -241 + 269. Calculate the least common multiple of v and 77.
308
Let u = 1107 - 1089. Let i(h) = h + 14. What is the least common multiple of i(0) and u?
126
Suppose j = 4*j + 3. Find the common denominator of ((-3)/j)/(4/(-6)) and 13/11.
22
Let l = 1167629/308 + -3791. Find the common denominator of l and -119/20.
1540
Calculate the common denominator of (-490)/(-96) - (-1)/(36/30) and -1/4.
16
Let w(o) = 882*o + 6. Let c be w(6). Suppose 0 = 9*m - 7*m - c. Let t = 13203/5 - m. Calculate the common denominator of 115/6 and t.
30
Let x(w) = -3*w**2 + 3*w - 44. Let b(h) = -h**2 - h + 1. Let g(t) = 4*b(t) - x(t). What is the least common multiple of 5 and g(-11)?
20
Let x(k) = 2*k + 10. Let o be x(-10). Let y be (o/(-15))/((-4)/(-18)). What is the smallest common multiple of 8 and 3*(y - (-20)/(-12))?
8
Suppose 0 = -6*q - 1177 + 3019. Let r = -299 + q. Let s(f) = -f**3 + 2*f**2 + 3*f - 3. Calculate the lowest common multiple of r and s(2).
24
Let m be 2*(-3429)/6864 + 1. Let i = m + -24601/5720. Calculate the common denominator of i and ((-12)/(-88) - 0) + -4.
110
Let v(w) = -w**2 - 12*w + 19. Let x be v(-18). Calculate the common denominator of -1/3 and x/6 + 4 + 3.
6
Suppose x = -4*x + 5*s + 375, 2*s = 4*x - 310. Calculate the smallest common multiple of 6 and x.
240
Let x(n) = 7*n**2 - 4*n - 2. Find the common denominator of x(2) and -9/29.
29
Let z(h) = h + 10. Let s be z(-6). Suppose -5*b + 72 = s*k + 14, k = -5*b + 22. Calculate the lowest common multiple of k and 6.
12
Let l = -3121/395 - -1/790. Suppose 0 = 6*a - a - 20, -b + 3*a = -3. Find the common denominator of 1/4 - (b + 5) and l.
20
Let o(i) = -i**3 + 10*i**2 + 8*i + 21. Let n be o(11). What is the common denominator of (-6)/18 - (-346)/(-132) and (-14)/n + -5 + 7?
66
Let x(s) = -s. Let f be x(-3). Suppose -f*r = 2*r, -d + r = -9. Calculate the lowest common multiple of 2 and d.
18
Let l = -15/59 - 2033/590. Suppose -5*n + n + 5*h = 866, -2*n = 2*h + 442. Find the common denominator of n/60 + (-15)/25 and l.
20
Suppose 8*h - 5*h = -9, 0 = -3*f - 2*h. Suppose 0 = -4*m + f*z + 122, -m + 45 - 10 = -2*z. Calculate the common denominator of m and 47/8.
8
Let m = 536999/45 + -11934. Find the common denominator of 61/24 and m.
360
Find the common denominator of 103/12 and -5 + 12/(-18)*657/60.
60
Let r(l) = -l**3 + 2*l. What is the least 