10
Let u = -1996/3695 - -258261811/40645. Let j = u - 6358. Find the common denominator of 195/12*20/(-45) and j.
99
Let r(u) = -3*u - 12. Let s be r(6). Let t = 3739/12 + -313. Calculate the common denominator of t and (-4)/(-6) - (-251)/s.
60
Suppose 2*o - 11 = -1. Let c(y) = -y**2 + 4*y + 8. Let h be c(o). Suppose h*w + 3 = 6. Find the common denominator of w and 34.
1
Let w = -1 + 10. Calculate the lowest common multiple of w and (112/24)/(6/9).
63
What is the common denominator of (-291)/(-36) - -1*1 and (-156)/(-376)*(-2 - 15/(-9))?
564
Let j = -2987/8 - -375. Calculate the common denominator of 149/(-24)*(-21 - -23) and j.
24
Let i = -18959/21549 - -2/1959. What is the common denominator of i and 71/330?
330
Let u(z) = z**2 + z - 6. Suppose -3*b = -7 - 5. Calculate the smallest common multiple of b and u(3).
12
Let u(f) = f - 11. Let l be u(0). Let a be -10 - l - 792206/(-156920). Let x = 6/3923 + a. Find the common denominator of x and -17/2.
20
What is the common denominator of 281/(-48) - (-39 + 35) and 77/48?
48
Suppose -6*m = -4*m - 10. Suppose -19 - m = -3*y. Let p = -2492 - -2502. Calculate the least common multiple of y and p.
40
Calculate the common denominator of ((-1)/2 - (-1107)/(-378))/2 and -27/8.
56
Suppose 5*x + 19 - 79 = 0. Let i(j) = 2 - 4 - 2*j**2 + 3*j**2 + 6*j - 17*j. What is the smallest common multiple of 2 and i(x)?
10
Suppose -5*l = 2*b + 57, -l - 9 = -4*b - 2. Let q(n) = 4*n - 3. Let c be q(3). Let h = c - l. Calculate the smallest common multiple of h and 10.
20
Let u = -174/17 - -3175/272. What is the common denominator of 0 + 177/36 - (-2)/4 and u?
48
Let f(g) = -g**3 - 5*g**2 - 5*g - 3. Let d(b) = b**3 + 2*b**2 - 4*b - 2. Suppose k + 0 = -2. Calculate the smallest common multiple of d(k) and f(-4).
6
Let c be 20/6 + (-3)/9. Suppose -2*m - 4*b = b + 5, c*b = -15. Calculate the smallest common multiple of m and 15.
30
What is the lowest common multiple of ((-48)/(-9))/(6/90) and 32?
160
Let s = -100877/2 - -2269666/45. Find the common denominator of 5/6 and s.
90
Let o = -564069/2 - -186598. Let n = 93630 + o. Let a = n - -1768. Calculate the common denominator of a and 29/3.
6
Let l(g) = -2*g + 18. Let t be l(8). Calculate the least common multiple of t/(-4) + (-25)/(-10) and 20.
20
Let o(q) = 13*q**3 - 8*q**2 + 23*q - 4. What is the smallest common multiple of 258 and o(3)?
1032
Suppose -35 + 315 = 5*f. Let o = 66 - f. Calculate the least common multiple of o and 4.
20
Suppose -5*a - 107 = 3*t + 3, -3*a + 3*t = 42. Let k = a - -33. Calculate the least common multiple of k and 16.
112
Suppose -12*n - 584 = -1988. Let z = -85 + n. What is the least common multiple of 32 and z?
32
Suppose 20 = 4*h + 8. Let p = 4326/605 + 6/121. What is the common denominator of p and (444/32)/(-3) - h?
40
Let d(q) = -q. Let x be d(-2). Calculate the common denominator of -111/14 and (-15)/x*170/400.
112
Suppose 0 = -3*q - 10*q + 3900. Calculate the lowest common multiple of q and 108.
2700
Let b = -14 + 21. Let m = 1792 - 1791. What is the smallest common multiple of m and b?
7
Let p(r) = 2*r + 22. Calculate the smallest common multiple of p(14) and 10.
50
Let a = 1895 - 3549. Let s be a/(-4) + -3 + 7. Let k = s + -432. Find the common denominator of 97/4 and k.
4
Suppose -3*b - p + 35 = 0, 5*b + 3*p - 63 = 6*p. Let s(x) = x**3 - x**2 - 7*x - 4. Calculate the lowest common multiple of b and s(4).
48
Let p(l) = -177*l - 48. Calculate the lowest common multiple of p(-2) and 306.
306
Let s = -1383 - -1746. Calculate the smallest common multiple of 297 and s.
3267
Suppose 0 = -3*z + 6 + 6. What is the smallest common multiple of (7 - z) + (-2)/2 and 2/4*(27 + -5)?
22
Calculate the smallest common multiple of 2 + (-17)/(-2) + 4/(-8) and 164.
820
Suppose 0 = 3*w - 0*w - 4*q - 21, 0 = 5*w + 2*q - 9. Find the common denominator of w - (2 + 3/(9/(-4))) and -9/10.
30
Let a = -1673 - -18455/11. Let w be (-5 - -4) + (-579)/(-19). Let o = w - 3674/95. Find the common denominator of o and a.
55
Suppose -5*q + 0*g + g + 10 = 0, -5*g - 4 = -2*q. Suppose q = 16*f - 15*f. What is the least common multiple of 1 and (-9)/f*(-4 - -2)?
9
Let v(a) = -2*a - 7. Let q = 10 + -15. Let w be v(q). Find the common denominator of -51/4 and (35/(-6) - 1) + w.
12
Let v(k) = k. Let s be v(0). Suppose s = -3*t - 2*t + 90. Let r = -11788 + 11796. Calculate the lowest common multiple of r and t.
72
Let p(x) = 36*x**2 + x - 1. Suppose 41*i = 17*i + 96. Calculate the lowest common multiple of i and p(1).
36
Suppose 3*w = -2*f + 2*w + 23, -4*w = -f + 16. Suppose -c = 2*r - f - 4, r = 3*c - 13. Suppose 6 - 2 = s. What is the smallest common multiple of s and c?
12
Let r = -32274/4205 - -128416663/37201635. Let z = r - -1/983. Find the common denominator of z and 7/16.
144
Suppose -5*v + 15 = -2*v. Let h = 0 - -15. Calculate the least common multiple of 16 and ((-396)/h)/(-6)*v.
176
What is the smallest common multiple of ((-27)/(-36))/((-3)/(-36)) and 1150?
10350
What is the lowest common multiple of 24 and 25*6*7/35?
120
Suppose 5*v = -5*l + l + 44, 0 = 2*l - 4*v - 22. What is the lowest common multiple of l and 81?
891
Calculate the smallest common multiple of 325 and 7 + 11 + (16 - 9).
325
What is the common denominator of ((-13)/430)/(-1 + (-66)/(-30)) and 29/30?
2580
Let q(c) = 36*c + 384. What is the smallest common multiple of q(-10) and 195?
1560
Suppose 20*n = 21*n - 442. Find the common denominator of 2*(2 + 369/(-120)) and (2/(-24))/((-13)/n).
60
Let o = -21 + 31. Let n = 31 + -8. Calculate the lowest common multiple of n and o.
230
Suppose 0 = 4*o - 5*c - 3, o + c + c = 17. Suppose 0 = z - 2660 + 2631. What is the least common multiple of z and o?
203
Let y = -61929/21740 + -3/2174. Suppose 3*z - 8 = -z. Find the common denominator of z/4 - 110/(-32) and y.
80
Let k = -9315 - -167579/18. What is the common denominator of k and (8 + (-50)/6)*2*(-36)/14?
126
Let u(v) = 2*v**2 + 18*v + 6. Let y be u(-8). Let m = 12 + y. Suppose m*p = z + 10, -3*p - 14 = -6*p + 2*z. Calculate the least common multiple of 12 and p.
12
Suppose 3*f + 2*m = -2*m - 32, f + 13 = m. Calculate the common denominator of -85/64 and f/(-42) - 1082/112.
64
Suppose 14*l - 5*l + 1188 = 0. Find the common denominator of -1 - (-470)/l - (-64)/(-384) and -2/7.
77
Let b = 31 + -33. Let y(x) = x + 4. Let d = 47 + -21. What is the smallest common multiple of y(b) and d?
26
Calculate the common denominator of (-1751)/(-1955) - (-1 + 3 + -1) and 10/11.
1265
Let h(l) = l**3 + 5*l**2 + 4*l + 12. Let x be h(-5). Calculate the common denominator of ((-4)/(-402))/(-14*x/6972) and 61/16.
1072
Let t(o) = -30*o**2 + o - 1. Let f be t(1). Let n = 88 + f. Calculate the smallest common multiple of n and 8.
232
Let x(d) = 26*d - 4. Suppose -23 = -4*r + 25. Calculate the least common multiple of x(1) and r.
132
Let w(u) = u**2 - u - 4. What is the lowest common multiple of (192/(-10))/(702/(-1170)) and w(-3)?
32
Let r = 192 - 182. What is the least common multiple of r and 28?
140
Let p = 182 + -160. Calculate the lowest common multiple of p and 2.
22
Let n = -7618 + 98987/13. Calculate the common denominator of n and 53/130.
130
Suppose 95 = -g - 4*g. What is the common denominator of (g/(-6))/((-4)/20 - 1) and -137/6?
36
Let y be 1597/291*(-45)/52. Let m be (40/12)/5 + 2519/(-3783). Let l = y - m. Find the common denominator of l and 77/16.
16
Let m = -657/22 + 59/2. Let g = 3371/154 + -172/7. Find the common denominator of m and g.
22
Let w = -693763657 - -2984571237569/4302. Let d = w - -3/478. Calculate the common denominator of d and 49/4.
36
Let s = -1576037/16 - -98318. Let h = -184 - s. What is the common denominator of h and 57/44?
176
Let i(x) = -2*x - 8. Let r be i(-6). Let z be 0 - r/(12/(-51)). Calculate the lowest common multiple of 4 and 1/3*(1 + z).
12
Suppose s = -0*c + 2*c + 9, -3*c - 13 = -s. Suppose -16*r = 5487 - 5583. What is the smallest common multiple of s and r?
6
Let u be (4 - (-40)/(-12))*9. Let b = u + -3. Calculate the smallest common multiple of b and 8.
24
Suppose 0 = -8*b - 16 - 40. Find the common denominator of (1 - -21)*((-21)/12)/b and -19/10.
10
Suppose -47*j + 295 = -692. What is the least common multiple of j and 75?
525
Let t(r) = r**2 + 4*r + 10. Let j be t(-4). 