206058359/6741350 - -8406/275. Calculate the common denominator of h and -139/6.
73542
Let r be (-32344)/(-260) + 2/(-5). Let l = r - 122. Calculate the smallest common multiple of 6 and l.
6
Let d = -2299273400 + 43649406250717/18984. Let c = d + 11/678. Calculate the common denominator of c and -25/49.
392
Let u(x) = -x**3 - 39*x**2 - 41*x - 116. Let z be u(-38). Calculate the common denominator of (2/(-10))/((-2)/395) and (3*335/(-45))/(z/(-3)).
2
Suppose 3359 = 14*a + 2043. Calculate the least common multiple of 114 and a.
5358
Let v = -95631 - -34714106/363. What is the common denominator of v and 62/693?
7623
Let h = 3845 + -3743. What is the least common multiple of h and 6?
102
Suppose -3*n = -2*n + 2*q + 98, 5*n + 2*q + 458 = 0. What is the common denominator of (2/n)/((-1)/(-1)) and -91/30?
90
Suppose -4 + 8 = -k. Let d be (-131)/(-4 + (-1 - k)). Let s = d - 99. Calculate the least common multiple of s and 40.
160
Let t = -20143944/701 + 28736. Let a = -58087/8412 + t. What is the common denominator of a and ((-339)/21 - (-4 - -3))/56?
588
Let y be 127827593/28662 + (22 - 24). Let s = y + 25/4777. Let i = 4443 - s. What is the common denominator of i and 111/10?
30
Let g = 842 + 280. What is the lowest common multiple of g and 6?
1122
Calculate the common denominator of 9 + (-3)/(196812/590079) and -77/852.
9372
Let v be 1374/(-12) + 2/(-4). Let g = v - -174. Calculate the smallest common multiple of g and 4.
236
What is the common denominator of 4*(-2181)/1344 + -1 + 7 and -17/24?
336
Let r = 7438 + -3934701/529. Let t = r + 12147/10580. Find the common denominator of -23/22 and t.
220
Let x = 9 - 7. Suppose x*g = 2*i - 18, -3*i = -2*g - 10 - 21. Calculate the lowest common multiple of i and ((-2)/20)/((20 - -5)/(-500)).
26
Let j = -500 + 533. Calculate the least common multiple of 753 and j.
8283
Let y be (-12)/56*827/3. Let r = y - -214/7. What is the common denominator of r and 161/(-1610) - (-113)/(-95)?
38
Let s = -1401707/2055240 + 102/9515. Let i = -3925/114 - 4/57. What is the common denominator of s and i?
216
Let f(s) = 6*s**2 - 6*s + 5. Let c be f(1). Suppose 0 = -4*o - 20, c*o - 135 = -15*l + 10*l. What is the least common multiple of l and 3/(-5) + (-86)/(-10)?
32
Let w(x) = -5*x**3 + 3*x**2 + 2*x - 3. Let a be w(-2). Let v = a + -39. Calculate the smallest common multiple of v and 31/3 - (-6)/144*-8.
30
Calculate the common denominator of (9*5/18)/10 and -35/912.
912
Let m(a) = -2*a**2 + 7*a - 1. Let v be m(4). What is the common denominator of 405/567*(-133)/12 and v/((-320)/(-302)) + 3?
96
Find the common denominator of 38/15 and 4/(-65)*(380/(-4440))/(-1).
7215
Suppose 188 = 5*p - 742. Let c = 23 + -15. Calculate the lowest common multiple of p and c.
744
Suppose 94 = 5*i - u, i - 2*u - 44 = -i. Let r(k) = k**2 + 181*k + 5552. Calculate the least common multiple of r(-142) and i.
126
Let c be (5 + -4)*(1/1 + 1). Let h be (c + -1)/3 + 20390/75. Let m = -270 + h. What is the common denominator of -50 and m?
5
Let g(b) = -2785*b + 29. Let p be g(6). Let m = p - -817325/49. Let s = m + -7135/294. What is the common denominator of s and -22/57?
114
Let i(a) = -201*a + 817. Calculate the smallest common multiple of i(4) and 377.
377
Let p = 11677/40 - 2421/8. Find the common denominator of 3810/(-5400) - 2/12 and p.
180
Suppose 0 = -12*i + 20 - 8. Find the common denominator of 5832/3120 - -1*i - 3 and 5/4.
260
Find the common denominator of (505/20)/(960/(-128)) and 173/1950.
1950
Let k(i) be the third derivative of -i**4/12 + 14*i**3/3 + 20*i**2 + 3*i. What is the smallest common multiple of k(11) and 68?
204
Let r be ((-140163)/12)/((-12747)/(-7)). Let y = 3/1214 - r. Find the common denominator of 59/54 and y.
108
Suppose 5*m + 29 = -3*i + 56, 4*i - 5*m = 36. Let j(v) = v**3 - 7*v**2 - 8*v - 31. Calculate the smallest common multiple of 9 and j(i).
531
Let f(j) = -j**2 + 9*j - 11. Suppose 11 = 2*h - 5*p, -15 = -3*h + h + p. Let s be f(h). Calculate the lowest common multiple of 8 and (-5)/(5/15*s).
40
Let j(h) = -h**3 + 2*h**2 + h. Let q be j(4). Suppose -5*d + 139 - 904 = 0. Calculate the common denominator of ((-72)/q)/(d/(-168)) and 37/11.
187
Let x(y) = y**2 + 8*y - 57. Let r be x(5). What is the smallest common multiple of 42 and 6*3/24 + 378/r?
336
Let y be (-1172)/24*-37 + (1 - -1). Let w = y + -1820. Let p = -17/492 - 877/328. Find the common denominator of p and w.
24
Calculate the lowest common multiple of (-25)/(-65)*(-6)/(-30) - (-2885)/13 and 126.
4662
What is the lowest common multiple of (6/21)/(12/3556) - 16/24 and 996?
6972
Suppose 3*l + 5 = -2*l, -2*o + 1 = 5*l. Suppose -d = c - 5 - 5, -3*d + 60 = -o*c. Suppose -22*p + d*p = -168. What is the least common multiple of p and 24?
24
Suppose 4*u + 5*d = -11, 17 = 13*u - 11*u - 5*d. Let n(w) = 14*w**3 - 5*w + 6. What is the lowest common multiple of 69 and n(u)?
345
Suppose 2*u + 2*p - 294 = 0, u - 2*u + 4*p + 172 = 0. Let l = -147 + u. Calculate the least common multiple of 20 and l.
20
Suppose 3*x + 126 = -0*x. Calculate the common denominator of (2262/416)/((-9)/(-4)) and ((-8)/(-15))/(x/15).
84
Let v = 19309 - 19243. Calculate the lowest common multiple of 891 and v.
1782
Suppose -107*l = -103*l - 1840. Calculate the lowest common multiple of 322 and l.
3220
Let p = -51/385 + -863/10395. Find the common denominator of p and 74/1287.
3861
What is the common denominator of ((-152)/38304)/(3/((-2619)/6)) and -121/1554?
6216
Let s(q) = 3*q**3 - q + 1. Let n(k) = -8*k**3 - 19*k**2 + 38*k - 3. Let g(a) = n(a) + 3*s(a). What is the lowest common multiple of 12 and g(20)?
3300
Let o = 972/5 - 94901/490. Find the common denominator of 89/1022 and o.
7154
Let g = 110 + -296. Calculate the smallest common multiple of ((-93)/g)/(1/22 + 0) and 12.
132
What is the common denominator of -4/135 and -26 - 186796/(-3894) - 22?
87615
Suppose -5*q - 2362 = -2*u, -13 = 3*u - 1. Let j = -3855/8 - q. What is the common denominator of j and 85/24?
24
Suppose h + b = -5, 3*b + 21 = -5*h + h. What is the smallest common multiple of 4 and (-1 + -29 + -6)*4/h?
24
What is the smallest common multiple of 5 and (-5)/(-4)*-4*-33?
165
Let p = -12657205/1986287476 - 5/563326. Find the common denominator of p and 113/20.
35260
Suppose 5*q + 110 = 4*c, -c + 3*c - 4*q = 58. What is the least common multiple of c and 45?
225
Suppose 3*l = -124 + 136. Suppose 1477 - 1537 = -l*r. Calculate the lowest common multiple of 123 and r.
615
Suppose -t + 2*q + 22 = t, 29 = 3*t - q. Let y be 2/((-10)/(-501)) + (-7)/35. Calculate the least common multiple of t and y/(-8)*(-54)/45.
45
Let l = -39 + 61. Suppose 0 = -125*q + 126*q - 118. Calculate the least common multiple of l and q.
1298
Suppose 3*b - 187 = 3*h + b, h = 5*b - 84. Let t = 74 + h. Calculate the lowest common multiple of t and 10.
30
Let d(t) = 8*t + 64. Let a be d(-8). Suppose 2*g - 3*x = 1 - 8, a = 3*x - 15. Calculate the least common multiple of 59 and g.
236
Suppose r - 67 + 62 = 0. Calculate the lowest common multiple of 220/(-6 + 8) - -5 and r.
115
Let q = 396230/1602413 - 165/673. Let r = -269303/119050 + q. Calculate the common denominator of r and 26/5.
50
Let c = 17142/5 + -3420. Calculate the common denominator of 4/173 and c.
865
Suppose -20 = 14*j - 15*j. Let h(z) = -9*z + 1. Let m(u) = -u**3 + 16*u**2 + 18*u - 18. Let d be m(17). Calculate the least common multiple of j and h(d).
20
Suppose 0 = 8*v + 7*v - 12945. Let f be (-3496)/v - -4*(-4 - -5). Let t = f - 129257/20712. What is the common denominator of t and -45/2?
24
Suppose 0 = 5*u + 5*d - 510, 485 = 5*u + 2*d - 43. What is the least common multiple of 92 and u?
2484
Let s be 1*34/14 - (-27)/(-63). Find the common denominator of ((-275)/(-120) - s)/(-6) and 13/22.
1584
Let f = 2533 - 2378. Suppose 0 = -2*d - 2*d + 20. Calculate the smallest common multiple of f and d.
155
Let b = -4449 + 44377/10. Let m = -5427 - -24991334/4605. Let i = m - 112049/27630. Calculate the common denominator of b and i.
90
Let d = -1234 + 2567/2. Find the common denominator of d and -5 + 1 + 226/124 + 2.
62
Let s = -110 + 106. Find the common denominator of (-3 + 62/20)*79 and 775/(-90)*-1 + s.
90
Find the common denominator of 333/(-210)*(-2)/(-3) and (-212)/(-30) + (1278/18 - 84).
1