Let r be (-258)/408*6/9. Let x = 260/153 + r. Calculate the common denominator of 1/2*(-51)/(-4) and x.
72
Suppose 27*b - 9940 = 30263. What is the lowest common multiple of 4 and b?
5956
Suppose 54758*l - 54751*l = 252. Let t(c) = 6*c**2 - 3*c - 2. Calculate the least common multiple of l and t(-6).
2088
Suppose z = 5*u - 161, -4*u = 3*z - 129 + 4. Suppose -15*t - 1360 = -u*t. Calculate the least common multiple of t and 18.
720
Let s = -7095 - 19484. Let x = s - -877187/33. Let t = -954727/30 - -31819. What is the common denominator of t and x?
330
Find the common denominator of ((-75180)/10704 - -7)*(-2)/4 and 3/16.
3568
Let m be 3/(-540)*(-149210420)/16. Let r = -544618/9 + m. Let b = r - -8701. Find the common denominator of 11/14 and b.
112
Let t = 37 + 2. Suppose t - 3 = 4*y. Calculate the smallest common multiple of 42 and -3*(-2)/y*30.
420
Let t be (1 + 25)*634415/(-1116). Let g = t - -14784. Find the common denominator of g and 55/138.
414
Let s = -14853 + 668341/45. Find the common denominator of s and 14/135.
135
Calculate the common denominator of -13/40 and (-9)/20*23134/(-52455).
2600
Let h = -1344 + 2395. Let t = -11524/11 + h. Calculate the common denominator of t and -77/24.
264
Let j be ((-168)/9)/(48/72). What is the least common multiple of j*(6 + ((-88)/7 - -4)) and 6?
72
Suppose -21 = -j + 21. Suppose -3*z + j = 33. What is the least common multiple of z and (-1)/(-1 - 1)*6?
3
Let o = -1618 + 1788. What is the least common multiple of o and 51?
510
Suppose -b - 4*k - 14 = 0, 20 = b + b - 4*k. Let m(a) = -1 - a**b - 3 + 409*a - 399*a. What is the smallest common multiple of 70 and m(8)?
420
Let r be 22/6 - 2/(-6). Let c = -1085 - -1114. Suppose 0 = -3*g + r*u + 43, -7*u + 2*u - c = -g. What is the lowest common multiple of 5 and g?
45
Suppose -q - 3 = 0, 0*w - 150 = -2*w + 4*q. Suppose 5*p + w = 169. Let l = p + -16. What is the least common multiple of l and 10?
20
Let g be (-174)/(-4)*(-5)/(15/12). Find the common denominator of -44/37 and 0 - ((-1)/(16/g) + -3).
296
Let k = -65546 + 65554. Calculate the lowest common multiple of 0 - (-3 + 1)*2 and k.
8
Let c(i) = i**3 + 5*i**2 - 80*i - 86*i - 86*i - 2 + 341*i - 85*i. Suppose -4*o = -1 + 9. What is the smallest common multiple of c(o) and 25?
50
Let r = -1867/3 + 7231/12. Let c = -22271/25640 - -60/641. Calculate the common denominator of r and c.
40
Let t be (-31)/(2*3/894). Let u = t + 7224. Let w = u - 18185/7. What is the common denominator of w and -10/17?
119
Let c be 7368/4230 + (-2)/(-12). Let b = -2/235 + c. Find the common denominator of (-3 - (-102)/40) + 2 and b.
20
Suppose 12*q - 2624 = 1396. What is the smallest common multiple of q and 35?
2345
Let s = 734 + 3631. Calculate the lowest common multiple of 45 and s.
4365
Let n = 51 + -106. Let f = n + 61. Let t = f + 12. Calculate the smallest common multiple of t and 90.
90
Let g = 3/3989 + -183575/107703. Calculate the common denominator of g and ((-6438)/609)/(60/7).
270
Suppose 4*a = -12, 48 = -3*l - 4*a + 2514. Calculate the common denominator of 121/240 and l/(-120) + (8 - -1).
240
Let z(k) be the first derivative of -k**3/3 - 7*k**2 - 7*k - 10. Let g = 146 - 134. Calculate the least common multiple of z(-13) and g.
12
Let r be (-58)/261 + (-14432)/18 + -3. Let k = r - -931. Calculate the smallest common multiple of 24 and k.
504
Suppose -39*h - 6 = -42*h. Calculate the lowest common multiple of -1 + (h - (-4)/(-4) - -10) and 9.
90
Let h = -63 + 68. Suppose h*j + 104 = j. Find the common denominator of (-45)/j - -1*(-3)/(-6) and 103/6.
78
Suppose 2*g + 54 = -42. Calculate the common denominator of 13/9 and (58/24)/((-6)/g).
9
Calculate the common denominator of -93/40 and ((-28)/(-42))/(3 + 1145/(-355)).
120
Let m(p) = -p**2 + 18*p - 47. Let k be m(10). Suppose 0 = k*l - 221 - 2155. Calculate the least common multiple of l and 9.
72
Let l be ((-1)/(-3)*-5)/((-5)/30). Calculate the common denominator of (-12)/(-24)*(-21)/l and -143/6.
60
Suppose 17*a + 26*a - 2184 = 17*a. Calculate the lowest common multiple of 504 and a.
504
Let a = -40874102834843/1351249407 - -1/2402221168. Let h = a - -30250. Calculate the common denominator of -37/2 and h.
144
Suppose -3*y - q + 89 = 0, 15*q - 125 = -4*y + 20*q. What is the common denominator of -91/8 and (-6)/(-166)*(-10)/(-25)*y?
664
Find the common denominator of (49/187180)/(54/1035) and -111/1910.
22920
Find the common denominator of ((-28)/903)/(48/(-708)) and -28/51.
2193
What is the common denominator of (-2)/19 - 115773/(-1961370) and -31/123?
38130
What is the common denominator of (-16)/168 - ((-10)/(-103215))/(2/(-2491)) and 29/10?
9830
Let v be (-6)/(-2)*4/6. Let w(d) = -4*d**2 + 4*d - 6. Let x be w(v). Calculate the smallest common multiple of (-108)/x + (-22)/(-77) and 21.
168
Let c = 248339/54 - 4599. Let z = 415/6 + -1388/21. What is the common denominator of c and z?
378
Let o be (-47312)/(-12) + 1/2. Let q = o + -3964. Calculate the common denominator of q and -121/48.
48
Suppose -65*m = -62*m - 9. Suppose -40 - 26 = -m*d. Calculate the smallest common multiple of d and 220/14 + 4/14.
176
Let a = -6695 + 6854. Calculate the lowest common multiple of 7 and a.
1113
Let l(m) = 53*m**2 + 1. Suppose 2*b + 20 = o, -3*o + 70 = 11*b - 15*b. What is the smallest common multiple of l(-1) and o?
270
Let y = 1032 - 1021. Suppose 0 = -9*z + 7*z + 22. What is the least common multiple of y and z?
11
Let q = -39854039138 + 2187747624369469/54894. Let t = q + 3/9149. Find the common denominator of (-1)/4 - 4/(-6) and t.
84
Let g = 189 + -3599/19. Let k = -35/38 - g. Calculate the common denominator of k and -11/162.
162
Let b(u) = -u**2 - 32*u - 29. Let p be b(-23). Let x = -110 + p. Calculate the smallest common multiple of x and 44.
748
Let d = -4056 + 4426. What is the smallest common multiple of 22 and d?
4070
Let i = -5183/6 - -215048/249. Let s = -426 + 421. What is the common denominator of i and s/(100/(-162)) - -2?
830
Let m = 19 - -4. Suppose 8 = -5*i - k, -28*k + 32*k = i + 10. What is the common denominator of -13/4 and -4 + m/64*i + 4?
32
Let l = -47/1829 - 268573/153636. Calculate the common denominator of ((595/735)/17)/(40/(-804)) and l.
420
Suppose 20 = 2*g - 4*h - 4, -4 = -3*g - 2*h. Suppose u = p + g, -5*p = 2*u - 3*u. Calculate the least common multiple of 9 and p.
9
What is the least common multiple of 1840/(-276)*(1 + (-119)/2) and 624?
3120
Suppose -6*r + 17224 = -14*r. Let z = 47351/22 + r. Calculate the common denominator of -77/78 and z.
858
Calculate the common denominator of 1/286 and 476/8*(-78)/546.
286
Suppose -4*d = 0, -5*d + 2602 = -5*y - 4198. Let r = -12211/9 - y. Find the common denominator of r and -3 - ((-44)/(-154) - (-729)/(-28)).
36
What is the least common multiple of 1102 and -342*(-1)/21*7*8?
26448
Let q = -19 - -21. Suppose -2*j + b - 4 = -3*j, -q*j + 2*b + 8 = 0. Suppose s + 3*m - 22 = 7*m, j*m + 14 = -3*s. What is the lowest common multiple of 2 and s?
2
Let h = 12042 + -11538. Calculate the smallest common multiple of h and 720.
5040
Suppose -r + 5*r - 3*i = 2481, 0 = -2*r + 3*i + 1239. Let t = -603 + r. Calculate the smallest common multiple of (-1)/3 + (-121)/(-3) and t.
360
Find the common denominator of 85/158 and (762/81)/(168/378).
474
Calculate the least common multiple of ((-198)/(-27))/(-22)*(0/2 + -54) and 854.
7686
What is the common denominator of (-24)/(-14)*((-5)/(-1) - 11/3) and -18/1523?
10661
Let b(s) = -3*s**2 + 8*s + 2. Let r be b(3). Let c be -2 - (-3)/r - -6. Let i(n) = n + 1. What is the least common multiple of 17 and i(c)?
34
Let n = -6084 + 6098. Calculate the least common multiple of n and 758.
5306
Suppose c + 4*k = 7, -2*k + 7 = c - k. Suppose -5*n = c - 22. Calculate the common denominator of 3/10 and 23/n + 8/36.
90
Suppose 338*o = 12249 + 75631. Calculate the least common multiple of 1755 and o.
7020
Suppose 17*z = 25*z - 72. Calculate the common denominator of -17/2 and (-9)/(-1)*z*(-8)/156.
26
What is the common denominator of 29/4 and (5 - 0) + (10 - (-14922)/(-996))?
332
Let m = -503 + 486. Let f(h) = -9*h + 7. What is the smallest common multiple of (-1128)/(-153)*3 - (-2)/m and f(-3)?
374
Suppose 6*m + 30 = 16*m. Suppose -2*b = -2*g - 2*g + 4, m = 5*g - 2*b. Calculate the c