496/5. Let j = v + -309061/220. Find the common denominator of j and 31/32.
352
Let v = 2311/42 + -173/3. Calculate the common denominator of (-18 + (-63645)/(-3510))/((-2)/(-6)) and v.
546
Let t = 44 - 43. Suppose -2*p = 4*v - 84, p - t = v - 25. What is the lowest common multiple of 6 and v?
66
Let f(z) = 13*z**2 - 2*z. Let d be f(2). Suppose 0*y + 8*y = d. Calculate the smallest common multiple of y and 3.
6
Suppose -y - y = -4. Calculate the smallest common multiple of 11 and (-2 - y)*2/(-2).
44
Let z = -20972 + 545351/26. Find the common denominator of z and 2 + (-14)/(-588)*93.
182
Let m(w) = -7*w - 13. Let d be m(-2). Suppose 0 = -2*a - 5*l + 2, 5*l = -4*a + 5*a - d. Calculate the smallest common multiple of a and (-1)/(3 + -1)*-4.
2
Let w = 0 + 5. Let z be (w/35)/(2/3308). Let f = z - 235. Calculate the common denominator of f and 43/3.
21
Find the common denominator of 10/5*123/(-66) and 8*(-20)/25 + -2.
55
Let v(d) = -d**3 - 5*d**2 + 14*d - 1. Let c be v(-7). Let o = 38 + -16. Calculate the smallest common multiple of 7/((-21)/(-9)) + (1 - c) and o.
110
Let g = -821801/858 + 10518/11. Find the common denominator of -3/8 and g.
312
Let f(m) = m**2 + 3*m + 6. Let y be (6/(-4))/(6/16). Let j be f(y). Let u = -4 + j. What is the least common multiple of u and 4?
12
Let n be 18/(-10)*460/(-1050). Let o = n - 253/5425. Let r = -551/93 - o. Find the common denominator of r and -55/14.
42
Let c = -2 - -12. Suppose 18 = k + 2*k. Let j = c - k. What is the smallest common multiple of 18 and j?
36
Suppose -f = -2*n + 7*n + 50, -166 = 3*f - n. Let t = -47 - f. What is the lowest common multiple of t and 20?
40
Let f = 377767 + -4536011/12. Let k = -233 - f. Let i = -20/33 - -2281/660. Calculate the common denominator of k and i.
60
Suppose 0 = -13*b + 5*b - 32. Let l(v) = -4*v. What is the lowest common multiple of 18 and l(b)?
144
Suppose -3*g = -q - 2*q - 6, -4 = -4*g + 3*q. What is the common denominator of -25/84 and g/10 + (-3)/((-660)/(-686))?
924
Suppose 2*g + 3*g = 5*w - 15, 2*w + 22 = -5*g. What is the common denominator of ((-100)/625)/(w/(-5)) and 143/6?
30
Suppose -3*h - 199844 = -4*v, 2*v - 149854 = -v - 5*h. Suppose -v + 16898 = 5*s. Let x = s + 52815/8. Find the common denominator of -83/8 and x.
8
What is the lowest common multiple of 320/60 + 0 + (-2)/(-3) and (12/(-14))/((-12)/56)?
12
Suppose 3*y = 3270 + 1698. What is the smallest common multiple of y and 2?
1656
Let h be (4/(-86))/((-4)/6). Let p = -208433/7224 + 1489/56. Let b = h - p. Calculate the common denominator of 1/8 and b.
24
Let a = 1597/22 + -161849/2244. Calculate the common denominator of -43/44 and a.
2244
What is the smallest common multiple of (41 - 19)/(1/6) and 60?
660
Let m be (0 + 0)/(1 + -4). Find the common denominator of m + (-188)/12 + -4 and -34/5.
15
Let i = 4 - -2. What is the smallest common multiple of i and 28?
84
Let g(k) = -k**3 + 4*k**2 + 61*k. What is the lowest common multiple of g(9) and 54?
432
Let k = 103 - 88. Suppose -18*w + k = -17*w. Calculate the smallest common multiple of 6 and w.
30
Let c be (1/2)/(2/32). Suppose c = -p + 5*p. Suppose -20 - 20 = -p*x. Calculate the smallest common multiple of 14 and x.
140
Let p = 118825836752615/13428 - 8849109078. Let l = p - -3/373. What is the common denominator of -23/6 and l?
36
Let o(w) = 16*w**2 - 4*w - 47. Let f(z) = 11*z**2 - 3*z - 32. Let i(m) = -7*f(m) + 5*o(m). Calculate the least common multiple of 30 and i(-4).
330
Suppose 0 = 5*l + r - 556, -4*l - 62*r = -66*r - 464. Calculate the smallest common multiple of l and 42.
336
What is the common denominator of -29/22 and (-42)/(-560)*(-305)/6?
176
Let c be 4 + 0 + 948/(-242). Let p = 10789/242 - c. Let z = 18298/11 - 1667. Calculate the common denominator of z and p.
22
Let i(q) = q + 12. Suppose -4 = -5*v + 3*v, 12 = z - 2*v. Calculate the smallest common multiple of z and i(4).
16
Find the common denominator of (45/918)/((-16)/132) and -35/17.
136
Suppose -620*z + 629*z = 3537. Calculate the lowest common multiple of z and 9.
1179
Let k = 15323/4 - 3854. Calculate the common denominator of (-2)/((-24)/(-154)) - 2 and k.
12
Let j(u) = -u**3 - 1. Let g be j(-1). Suppose g = 2*y - v - 4, 0*v = -y - 4*v + 11. Calculate the smallest common multiple of 24 and y.
24
Let m(h) = -4*h + 3. Let d be m(6). Find the common denominator of ((-13)/8)/(3/d) and (24/128)/((-638)/316 - -2).
8
Let z = -10 - -23. Let q be -4 + (1 - z) + 2. Let f(y) = -y**2 - 16*y - 6. What is the smallest common multiple of f(q) and 12?
132
Let y be (87/(-45) - -2)*(-2191989)/12. Let h = -12177 - y. What is the common denominator of -23/7 and h?
420
Let h(j) = j**2 - 16*j + 12. Let y be h(16). Suppose -y*b + 43 = -11*b. Calculate the common denominator of b and 41.
1
Let q be 4 - (-1 + (-1 - -4)). Let p be (-2 - (-16)/2)/q. Suppose -13 = -2*f + j + 31, 0 = -p*j. What is the least common multiple of 22 and f?
22
Suppose -5*v + 159 = 49. Suppose a - 5*b + 6 = 0, -b - v = -3*a + 2. What is the common denominator of (-28)/(-6)*a/(-24) and 1/7?
28
Suppose 4 = 5*k - 6. Suppose -5*w + 2*r + 71 = 0, 0 = w - 0*r + k*r - 7. Suppose 11 = 2*y - w. Calculate the smallest common multiple of 18 and y.
36
Let w = -1771551/1895246 + -2/41201. Let q = 208/417 - -1923/139. Calculate the common denominator of q and w.
138
Let z = 631 - 628. Suppose -g = 4*i + 15, -3*g - 24 = 4*i + g. Let w = 5 + i. What is the least common multiple of z and w?
6
Suppose -p = 6 + 16. Let x(t) = -2*t**3 + 13*t + 41. Let v be x(-4). What is the common denominator of 0 + (v/p)/3 and 127/12?
132
Suppose 8 + 16 = 3*n. Find the common denominator of 35/2 and (-186)/8*n/(-27).
18
Let j(b) = 52*b**2 + 4*b - 4. Let z be j(1). Suppose q + u - 2 = 21, -4*u - z = -2*q. Calculate the smallest common multiple of 27 and q.
216
What is the common denominator of ((-365)/(-30)*(-2 + 5))/(-2) and 85/(-66) + (-2)/(-6)?
44
Let l(y) = -y**2 + 10*y - 11. Let r = 14 - 5. Let p be l(r). Find the common denominator of (100 - 5)*p/4 and 1/11.
22
Calculate the common denominator of -47/117 and (-357)/65*1 + 6*1.
585
Let p = -193/4 + 449/12. Find the common denominator of p and 8/(-20) + 614/(-140).
42
Suppose 0 = 6*b - 63 + 3. What is the lowest common multiple of b and 45?
90
Suppose 0 = 5*j - 4*j + 4. Let x = j - -5. Calculate the smallest common multiple of x and 7 - 1/((-10)/40).
11
Calculate the common denominator of -131/12 and (-9)/(-30)*(-695)/(-72).
48
Let a be (-2292)/(-8)*3/(-27). Let r = -551/15 - a. Find the common denominator of 31/14 and r.
70
Suppose 25*w - 27*w + 240 = 0. Calculate the smallest common multiple of 9 and w.
360
Let l = -286834 + 37862659/132. Let v = l + -19/33. What is the common denominator of v and -97/6?
12
Let q(f) = -2*f + 6. Let k be q(-18). Calculate the lowest common multiple of 480/k - (2 - (-36)/(-14)) and 28.
84
Let j(c) = 169*c**2 + 12*c - 6 - 10 - 1 - 170*c**2. Suppose 5*l + 4*w - 19 - 11 = 0, l - 4*w = 30. What is the least common multiple of j(9) and l?
10
Calculate the common denominator of 79/2 and (4/6)/(6572/(-8277)).
106
Let i(b) = -b. Let h be i(-5). Suppose g - 88 = h*g. Find the common denominator of 43/g - (-4 + 1) and 53/18.
198
Let n(i) = -i**2 + 7*i - 3. Let q be n(6). Let h be q/(-1 + -2) + 4. What is the common denominator of (-781)/220 + h/(-4) and 65/4?
20
Suppose 5*k = -d + 30, -30 = -4*d + 4*k - 6*k. What is the least common multiple of d and 8?
40
Suppose -4*u - 65 = -3*m, 2*m + 5 + 82 = -5*u. Let x = -15 - u. Calculate the smallest common multiple of x and 1*(13 - 1) - 0.
12
Let n(b) = 5*b**2 - 8*b - 13. Calculate the least common multiple of 413 and n(-3).
3304
Let k = -11 - -18. Suppose 2*i - 5 - k = 0. Calculate the smallest common multiple of i and 24/42 + 104/14.
24
Let f = -247335/53 - -4667. Find the common denominator of f and (64/18 + -2)*(-1105)/442.
477
Let c = 32 + -28. What is the common denominator of 97/4 and 2/c - (-316)/(-40)?
20
Suppose -2*r - 3*r + 5*q - 30 = 0, 0 = 4*r - 2*q + 14. Let v be (r/(-20))/(6/(-5)). Let l = v + 55/24. Find the common denominator of l and 89/10.
20
Suppose 4*l - 136 = 160. What is the smallest common multiple of 8 and l?
296
Let c(r) = -r**2 - 3*r - 4. Let a be c(-3). Let m = a - -6. What is the lowest common multiple 