-58*m - 275. What is the least common multiple of g(-5) and (3 + -4)/((-1)/3)?
15
Let t = 222546697/186 + -1196492. Let d = -68507/47151 - -2/1521. Let c = d + t. What is the common denominator of c and -11/9?
18
Let f = 2648/15 + -520/3. Let l = 36499/286 + -1701/13. What is the common denominator of f and l?
110
What is the common denominator of 67/6 + (-1 - -2) and -6 - (-105)/18 - 7?
6
Let a(w) = 44*w**3 + 4*w**2 + 4*w - 9. Let o be a(3). Let q = o - 10973/9. Calculate the common denominator of q and 52/5.
45
Suppose 2*n - 14 = -12. Calculate the least common multiple of n and 36.
36
Suppose 2*x = 2*n + 1028, 0 = -0*x - 7*x - 2*n + 3634. What is the smallest common multiple of x and 7?
518
Let f(y) = 3*y + 29. Let z be f(6). Let a = z + -39. Calculate the least common multiple of 24 and a.
24
Suppose 13 = 3*f - 4*f. Let d = -9 - f. What is the smallest common multiple of -5*8/(d/(-2)) and 20?
20
Suppose 3*j = 8*j - u + 75, 5*u = j + 15. Let z = 70 + j. What is the least common multiple of 15 and z?
165
Let d = 55391/180 + -2752/9. Calculate the common denominator of d and 17/(-8) + (-6)/(-15).
40
Let f(k) = 1 + k**3 + 14*k - 1 - 6*k**2 - 7*k - 5. Let c be f(4). What is the least common multiple of 6 and c/(-3) + -5 - -8?
6
Let k = -32 - -31. Find the common denominator of 8*k/(-16)*(-47)/(-2) and -2/39.
156
What is the common denominator of 29/105 and 204/136*(-178)/12?
420
Let x(l) = -7*l**3 - l**2 - 3*l - 1. Calculate the lowest common multiple of x(-1) and 9.
72
Let v be (-2)/3 - (-8096)/12. Let i = -1648 + v. Let j = i + 2872/3. What is the common denominator of -7/25 and j?
75
Suppose 3*w + t = 30, -43 = -4*w + 5*t - 3. Let g(j) = -114*j - 225. Calculate the smallest common multiple of g(-2) and w.
30
Let n = -21303 + 61251. Suppose -5*o - n = -14973. Calculate the common denominator of o/(-750)*(-5)/(-6) and -97/10.
20
Let f = -9908/5 - -1973. Suppose -2*p + 24 = -20. Calculate the common denominator of f and 6/p*(-104)/6.
55
Let r = 20473 - 245539/12. What is the common denominator of ((-261)/(-6))/((-2)/(-2)) and r?
12
Let t = -49 - -19. Let r = t + 36. Calculate the smallest common multiple of r and 9.
18
Suppose -4*g + 12 = 4, 2*g = -4*c + 68. Calculate the lowest common multiple of 24 and c.
48
What is the common denominator of 109/12 and 822/(-120)*-2 - (1 - -1)?
60
Let v = 92 + -70. Calculate the smallest common multiple of v and 22.
22
Let i(s) = -s - 67. Let n be i(0). Let c = 6115/7 + -877. Calculate the common denominator of c and -1 + n/(-2)*(-3)/15.
70
Let c be 2 - (-12)/(4/1). Let o = 6 + -4. What is the least common multiple of o/c*5*2 and 10?
20
Suppose c + 2 = m, -m + 4 = m + 3*c. Suppose -h = -m*p, -3*h + p = -7*h + 9. What is the least common multiple of h and 18?
18
Calculate the lowest common multiple of 154 and 2/(-4)*(-34 - -6).
154
Suppose 0*w + 12 = -3*w. Let v be 1/((-2)/40*w). Find the common denominator of 11/8 - (-5)/v and -34/9.
72
Suppose 3*p = 5*p. Let v(y) = -4*y**3 + 6 + p*y**3 + 3*y**3. What is the lowest common multiple of 2 and v(0)?
6
Let j = -72/3409 - 49703/252266. Calculate the common denominator of 1/8 and j.
2072
Let q be 3/3 + 4 + 0. Suppose -5*g = q, l - g = -4*g + 9. Calculate the lowest common multiple of 6 and l.
12
Suppose a - 2*n + 7*n = -1171, 5*a - n = -5985. Let u = 2451/2 + a. Calculate the common denominator of u and 83/4.
4
Let g = 1/43 - 734/129. Suppose 3*s - 7*s + 3*j - 34511 = 0, 0 = -2*s - 2*j - 17266. Let z = s + 51899/6. Calculate the common denominator of g and z.
6
Let v = -26 - -29. Calculate the common denominator of -87/4 and 59/(v*(-4)/(-9)*6).
8
Suppose 0*i - a + 104 = 4*i, -i + 37 = 3*a. Suppose 2*f = k - f, i = k + 2*f. What is the smallest common multiple of 15 and k?
15
Let c = 44 + 2. Calculate the least common multiple of c and (4/3 - (-9)/(-27))*10.
230
Let v = 11144 - 590674/53. Calculate the common denominator of v and -34/13.
689
Suppose 67 = 4*j - 13. Let y(s) = s**2 + 3*s. Suppose 0 = 2*b + 3 + 9. What is the smallest common multiple of y(b) and j?
180
Let t = -6/109 + -461/1526. Let o = t - 36/7. Let g = 2/5097 - 93449/10194. Calculate the common denominator of g and o.
6
Find the common denominator of 61/5 and 54/36 + 18/(-140).
35
Let i = -38 - 78. Let p = -84 - i. Calculate the least common multiple of 4 and p.
32
Let a = -64609/5034 - -1/839. Let g = -2952/77 + 362/11. Calculate the common denominator of g and a.
42
Let o be 4*12/32*-14. Let i = o - -35. What is the lowest common multiple of i and 20?
140
Let u(o) = 63*o - 811. Let k = -12 + 29. Suppose -2*c - 3 = -k. Calculate the least common multiple of u(13) and c.
56
Let v(a) = 20*a + 2*a**3 - 6*a + 5 - a**3 + 16*a**2. What is the least common multiple of 22 and v(-15)?
220
What is the common denominator of 28/27 and 21/(-8)*((-371)/(-49) + -8)?
216
What is the common denominator of 2/36*11 - 2/1 and 113/28?
252
Let d = 20 - 5. What is the lowest common multiple of d and 10?
30
Find the common denominator of (-202)/96 + -2*2/8 and -121/12.
48
Let x = 9 + -6. Suppose b - x*b + 28 = 0. Let i(j) = -j**3 - 13*j**2 - j + 9. What is the least common multiple of b and i(-13)?
154
Let r = -252 - -433/2. Calculate the common denominator of 49/290 and r.
290
Let p = -97737/5 + 827241/40. Let v = -1137 + p. Find the common denominator of (6/16)/((-14)/(-1848)) and v.
8
Suppose 3*j + t + 0*t = -1, 4*t = -3*j + 5. Find the common denominator of 1/24*(j - 450/2) and -95/28.
84
Let l = -6666 + 6681. Suppose 2 + 10 = r. What is the smallest common multiple of r and l?
60
Let o = 93899/21 - 4468. What is the common denominator of 133/522 and o?
3654
Suppose 4*w - 3*f - 11596 = 0, 3*f = 3*w - 0*f - 8700. Let z be (7 + -1)*(-13045)/27. Let s = z + w. Calculate the common denominator of s and -45/8.
72
Let c = 509 + -494. What is the least common multiple of c and 18?
90
Let p(a) = a**3 - 10*a**2 + 7. Calculate the lowest common multiple of p(10) and 4.
28
Find the common denominator of ((-3)/(-198)*-4)/(4/(-69)) and 113/98.
1078
Let t = 96 + -87. Let m(n) = -n**2 + 12*n + 1. What is the smallest common multiple of m(10) and t?
63
Let c = 3840567/152 - 25267. Find the common denominator of 41/646 and c.
2584
Suppose -3*l = -4*a - 31, -26 = -2*l - 4*a + 8*a. Let g = l + -1. Calculate the least common multiple of g and 14.
28
Let a = -975 - -1007. What is the least common multiple of a and 32?
32
Suppose 0 = -s, -3*q + s + 54 = -4*s. Suppose -70 = -3*c + x, -2*c - x = -c - q. Calculate the smallest common multiple of c and 4/(-2) + 15 + 1.
154
Let c = 16901/44 + -1545/4. Let x = 4375 + -2847. Let h = x - 39669/26. Calculate the common denominator of c and h.
286
Find the common denominator of (-2)/24*2904/36 and -101/48.
144
Find the common denominator of 37/9 and 42/(-60) + ((-66)/12)/11.
45
Let k(b) = 21*b**2 + b + 2. Let r be k(-1). Suppose -2*h - r = -u + 3*h, 2*h = 2*u - 28. What is the lowest common multiple of (2/(-3))/((-4)/84) and u?
84
Suppose 2*w - 48 = -0*w. Calculate the smallest common multiple of w and (1 - -107)*6/360*15.
216
Suppose -3*v + 10 + 2 = 0, 0 = -3*k - v + 13. Suppose 5*h = 5*n - 20, 12 = -3*h + 2*n - k. Calculate the least common multiple of 4 and 12/7*h/(-2).
12
Suppose -3*z = -n + 11*n - 80, 8 = n + 5*z. What is the lowest common multiple of (-22)/3*(-6)/4 and n?
88
Let o(p) = 3*p**2 - 1. Let q be o(1). Suppose -w + 22 = -2*m, -2*m - q*w - 28 = -0*m. Let k = -2 - m. Calculate the smallest common multiple of k and 4.
20
Let m be ((-12)/(-2) + -3)/1. Find the common denominator of -28/3 and 852/(-16)*(159/54 - m).
24
Let h(x) = x**3 - 10*x**2 - x + 54. Calculate the least common multiple of 12 and h(10).
132
Let h = -9259/60 + 3199/20. Calculate the common denominator of h and -23/70.
210
Suppose 12*f = 13*f - 16. Suppose -6*q + f = 2*q. What is the least common multiple of 10 and q?
10
Find the common denominator of (-10131)/768 - -6 - (-10 + 3) and -43/22.
2816
Let k(z) = -41*z - 17. Let n be k(5). Find the common denominator of n/(-44) + 30/(-165) and (-2)/(-2) + (-440)/128.
176
Calculate the common denominator of 47/66 and 8/(-10) + 50/(-300).
330
Let j = -10226 + 102381/10. Let i = 5388 + -4795323/890. Let z = 18263/5340 + i. Calculate the common denominator of j and z.
60
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