
Let d = 4109769/15901916 + 2/67381. What is the common denominator of d and -73/16?
944
Find the common denominator of ((-10)/(-2))/20*826/(-1176) and 38/27.
3024
Let b be (-3*52/(-306))/(16/(-71964)). Let f = b - -2292. Let i = 2573 + -30941/12. What is the common denominator of i and f?
204
Let x = -1285/2178 + -258/121. What is the common denominator of ((-216)/(-64) + -3)*(-268)/(-15) and x?
90
Suppose -2*l - 5*c - 94 = 0, -3*c + 41 - 173 = 3*l. Let n = l + 45. Let r(v) = -v**3 - 2*v - 1. What is the smallest common multiple of n and r(-2)?
33
Let d be (-5)/4*(6 - 14). Suppose -2*o - d = -o. Let f = 11 + o. What is the smallest common multiple of 6 and f?
6
Let b(r) = -2*r + 14. Let w be (-1 - 0)*(-24)/(-4)*-1. What is the lowest common multiple of (3*-1)/((-3)/2) and b(w)?
2
Suppose -17*n + 2017 = 45. What is the least common multiple of 12 and n?
348
Suppose -12*a + 7*a = -10. Calculate the lowest common multiple of a and 37.
74
Calculate the common denominator of (-6 + (-730)/(-120))*1*-122 and 393/(-6)*1/(-3).
6
Let j(s) = 2*s**3 + 51*s**2 - 31*s - 114. Calculate the lowest common multiple of j(-26) and 64.
64
Let r = -727 + 736. Calculate the lowest common multiple of (-90)/12*(-12)/10 and r.
9
Suppose 2*p = -2*j - j + 1595, 4*j - 2127 = -3*p. What is the common denominator of -89/18 and (242/14)/(j/63 + -7)?
90
Let i(c) = -c**3 - 20*c**2 - 21*c - 29. Calculate the least common multiple of i(-19) and 21.
63
Let v = 23 + -20. Let c = -1 + v. Suppose -c*p + 18 = -0*p. What is the lowest common multiple of 3 and p?
9
Suppose -5*p = -0*b - 5*b - 65, -5*p - 4*b + 92 = 0. Find the common denominator of -15/4 and 33/22 + 61/p.
16
Let j(i) = 2*i**3 + 6*i**2 + 2*i - 2. Let p be j(-2). What is the smallest common multiple of 6 and p/4*(-2 - -12)?
30
Let t = 171467/280 + -3052/5. What is the common denominator of -29/469 and t?
3752
Let a = -12871601/380 - -135493/4. What is the common denominator of -16/133 and a?
1330
Calculate the common denominator of -17/6 and 1 - (22/(-55) + 12430/9325).
2238
Let r = 15113/4028 - 2/1007. Find the common denominator of (31/6)/(15/(-20)) and r.
36
Suppose 2*h - 22 = -4*j, -h + 13 - 14 = 0. Let i = 93 + -11. Calculate the smallest common multiple of i and j.
246
Let m = -124553/27 - -4615. What is the common denominator of m and -37/207?
621
Let q = 1/685 - -301/274. Calculate the common denominator of q and 131/70.
70
Suppose -6*p = -11*p + 25. What is the least common multiple of p and 4?
20
Let m(s) = -140*s + 254. What is the smallest common multiple of 18 and m(-7)?
11106
Let l = 6748 - 168647/25. Find the common denominator of l and -43/15.
75
Let h(y) = -15*y - 20. Calculate the smallest common multiple of h(-14) and 152.
760
Let h(d) = 4983*d + 48. Let o be h(8). Let i = o - 958031/24. Find the common denominator of i and 45/8.
24
Let v = -24 + 26. Let m be 115/13 - 16/(-104). Find the common denominator of v/m + (-236)/72 and -33/20.
180
Let c = -69 + 84. Suppose b = -3*x + c, 0 = -10*b + 5*b + 2*x + 92. Calculate the smallest common multiple of b and 24.
72
Suppose -5*q - 2*a = -40, -4*q - a - a + 34 = 0. What is the lowest common multiple of q and 6?
6
What is the common denominator of -107/48 and (19/(-5) - -4)/(16/(-230))?
48
Let v = -14 - -13. What is the common denominator of v/(-24)*(-612)/16 and 59/40?
160
Let u be (-306)/(-22167)*(-21722)/(-528). Let a = 2/7389 + u. Calculate the common denominator of a and -15/44.
44
Suppose p = -2*p + 36. Let q = 5081 - 5055. What is the least common multiple of p and q?
156
Let j = 4 + 14. Suppose 0*a - 25 = -a + 4*v, 3*a + 4*v + 5 = 0. Let m = a - 3. What is the least common multiple of m and j?
18
Find the common denominator of -46/117 and 4/44 + (-245)/165.
1287
Let t(m) = m**2 - 2*m - 13. What is the smallest common multiple of t(-3) and 48?
48
What is the common denominator of 40/52*(-2 + 1) and (-1 + -15)*(-5 - (-657)/126)?
91
Let z = 17 - 7. Let f(c) = c + 7. Let y be f(-7). Suppose y*o - 3*o + 6 = 0. Calculate the smallest common multiple of o and z.
10
Let t = -8 + 5. Let o be (-47 + t/1)*1. Calculate the lowest common multiple of 40 and ((-24)/15)/(4/o).
40
Let q = 356 + -328. Calculate the least common multiple of 6 and q.
84
Let k = -696 - -708. Suppose l - 12 = -l. Calculate the smallest common multiple of k and l.
12
Suppose -24*i = 4*i - 1008. What is the smallest common multiple of i and 12?
36
Let n(k) = -4*k**2 + 5*k**2 + 0*k + 2*k - 9. Calculate the least common multiple of 6 and n(-6).
30
Let u = -11712 + 491765/42. Calculate the common denominator of -75/94 and u.
1974
Let c(p) = p**3 - p**2 - p - 4. Suppose -5*x = -6*x + 10. What is the least common multiple of x and c(3)?
110
Let k(p) = 10*p**2 + 1. Let g be 6/(-10) + (-752)/5. Let i = -145 - g. What is the smallest common multiple of k(-1) and i?
66
Let q = -1924803/64 - -30074. Find the common denominator of 61/32 and q.
64
Suppose 4*t - 116640 = -4*w + 2*t, -3*w - t = -87478. Let f = -641587/22 + w. Let p = 89741/34 - 2640. Find the common denominator of f and p.
374
Let u(h) = 2*h**3 - 7*h**2 + h - 4. Calculate the smallest common multiple of (8 - 1) + -1 + (-44 - -46) and u(4).
16
Find the common denominator of (242/75)/(124/155) and -1/10.
30
What is the common denominator of 29/200 and (66/(-11550))/((-1)/(-61))?
1400
Let o = -49189/6 - -8177. Let q be 15/45 - (-58573)/60. Let z = q + -978. Calculate the common denominator of z and o.
60
Let g = 12921 + -814061/63. Calculate the common denominator of g and 34/27.
189
Let z = -6924 + 913859/132. Find the common denominator of z and 119/96.
1056
Suppose d = -3*y + 5 + 11, 2*y + 8 = 4*d. Suppose 2*l = 5*l - 6. Let z(u) = -u**3 + u**2 + 3*u - 1. Calculate the least common multiple of d and z(l).
4
Let q = 4 - 1. Suppose q*s - 4*s + 1 = 0. What is the least common multiple of 5 - (1 + s - 1) and 8?
8
Let p(o) = 20*o - 60. What is the smallest common multiple of p(17) and 35?
280
Let b = 26 - 20. What is the smallest common multiple of b and (-533)/(-52) - 3/(-4)?
66
Calculate the common denominator of 11/77 + 3/(-14) and 13.
14
Suppose 5*p - 5*y = 8 + 7, -12 = -2*p - 4*y. What is the least common multiple of p and 32?
32
Let j(r) = 3*r**3 - 4*r**2 - r - 26. What is the least common multiple of 56 and j(4)?
392
Let x = 12 - 6. Calculate the smallest common multiple of (-2 + 0)/(-1 + -1)*23 - -3 and x.
78
Suppose -4*y + 340 = 2*g, -g - 178 = 2*y - 4*y. Calculate the lowest common multiple of y and 5.
435
Let c be ((-1636932)/(-55))/(2/15). Let q be (59/69)/(84/c). Let y = q + -15914/7. What is the common denominator of -55/8 and y?
184
Let i = 431 + -255. Find the common denominator of ((-40)/i)/((-1)/(-19)) and -81/8.
88
Let f be 1*(3 + 3/3). Suppose 3*v + 5 = 4*d - 0*v, v = 1. Suppose -5*x = -c, -d*c + 21 = f*x - 7*c. Find the common denominator of 15/11 and x.
11
Let f(b) = 2*b - 5. Let x be f(4). Let a = 30501/5 - 6094. What is the common denominator of a and ((-58)/(-3))/(x*2)?
45
Let c = 13715061952559855/5891 + -2328138313323. Let m = c - -144496. Let z = 300451/29455 + m. Find the common denominator of z and 25/6.
30
Let m be 3/66*(-148190)/11406. Let y = -2/5703 + m. Let t = 138209/20 - 6912. What is the common denominator of t and y?
220
Let u = -188 - -80. Let g = u - -124. Calculate the lowest common multiple of 4 and g.
16
What is the lowest common multiple of 2160/(-96)*(-8)/6 and 6?
30
Let g(o) = -23*o**2 - 6*o - 8. Let a be g(-2). Let s = a - -94. What is the smallest common multiple of 15 and s?
30
Let y be 45/6*(-4 + 2). Find the common denominator of y/(-35)*4/(-6) and (4/24)/((-20)/228).
70
Let f(g) be the second derivative of g**5/20 + 7*g**4/12 - g**3/3 - 2*g**2 + 3*g. Let c = -13 + 6. What is the smallest common multiple of 4 and f(c)?
20
Let r(x) = -4*x**3 - x**2 + 5*x + 5. Let t be r(-2). Let p = t + -14. What is the common denominator of -47/5 and 20/p - (-4)/18?
45
Let t = -1085 + 1140. What is the lowest common multiple of t and 390?
4290
Let c(s) = -82*s + 16. What is the lowest common multiple of 160 and c(-8)?
3360
Let p = 40 - 24. Suppose m - 6*m + 25 = 0. Suppose -3*o - 5*y + 76 = o, -m*y - 8 = -2*o. What is the least common multiple of p and o?
112
Let k be (24/13 - 2) + 394/26. Let r = 18 - k