
28
Let x be 2/7 - (-8832)/(-31059). Let t = -164125/32538 - x. Find the common denominator of 57/2 and t.
22
Let o be (164/110)/(-1) + 4. Let q = 12/11 + o. Find the common denominator of q and 97/8.
40
Let f(d) = -70*d**2 + 5*d - 3. Let s be f(-5). Let c = 8848/5 + s. What is the common denominator of c and -38/11?
55
Let l = -6 + 7. What is the lowest common multiple of l and 7?
7
Let t = -2024 + 10152/5. Let f be (1 - 1) + (-1570)/378. Let j = f + 35/27. Calculate the common denominator of t and j.
35
Let d(u) = 2*u + 3. Let n = -16 - -8. Calculate the smallest common multiple of n/(-5) - (-2)/5 and d(4).
22
Let k = -50081/12 - -4138. Let t = k + 98/3. Find the common denominator of t and -31/16.
16
Suppose m + 16 = 2*m. Suppose -j = -0 - 3. Suppose -u - m = -j*u. What is the smallest common multiple of 12 and u?
24
Suppose 0 = -3*b + 4*b. Suppose b*u = 2*u - 12. Let x = 8 + -6. What is the smallest common multiple of u and x?
6
Suppose 10 = -4*v + 2, 5*x + 74 = -2*v. Let d(g) = 2*g**2 + 4*g - 4. Let w be d(-4). Calculate the lowest common multiple of 11 and x/(-3) + 4/w.
55
What is the common denominator of ((-4)/10)/(81/(-30)) and 56/9?
27
Let g = 13 + -5. Calculate the least common multiple of 8 and g.
8
Let h be (5/2 + -2)*26. Suppose 4*u - 7 = h. Let k = 0 + 9. What is the lowest common multiple of u and k?
45
What is the smallest common multiple of (-1)/(-1) - 20/(-2) and 3?
33
Let x = -4 + 4. What is the common denominator of (x - -1)*129/15 and 30/7?
35
Let j = 33993/4045 + -3/809. What is the common denominator of -45/11 and j?
55
Suppose 3*g - 2*g + 2 = 0. Let u be 1*(g - -1) - -10. Calculate the common denominator of -3 - (-30)/u*2 and -83/4.
12
Let y = -137/12 + 1997/60. Let h = 56/5 - y. Find the common denominator of 87/4 and h.
12
Let r = -6 - -16. Calculate the least common multiple of r and 6.
30
Let k = 3 + 1. Let i(q) = 7*q + 1. Let s be i(2). Suppose -2*f - f = -s. What is the smallest common multiple of f and k?
20
Suppose 3701 = -5*p - 209. Let u = p - -6269/8. Calculate the common denominator of 43/4 and u.
8
Let u(v) = 2*v**2 - 4. What is the smallest common multiple of 16 and u(3)?
112
Let f(u) = -2*u**2 + 0*u**2 - u**2 + 6 + 8*u - u**3. Let o(h) = -h + 4. Let m be o(9). What is the common denominator of f(m) and 121/10?
10
Let y(p) = 7*p - 7. Calculate the common denominator of (32/(-220) - 0)*5 and y(6).
11
Suppose 0*d + 2*d = 4. Suppose 3*m + 51 = 5*b, -2*b - d*m - 13 = -3*b. What is the lowest common multiple of 8 and b?
72
Suppose -3*q + 4*k + 32 = 0, 8 - 3 = 5*q + 3*k. Calculate the common denominator of (q/(-15))/(20/(-1150)) and -95/2.
6
Let z(s) = 17*s**2 + s - 4 - 4*s - 15*s**2. Let c(v) = -v**2 - 4*v + 2. What is the lowest common multiple of c(-4) and z(4)?
16
Let q = 20 - 19. Let w = -2 - -10. Calculate the least common multiple of q and w.
8
Let i(u) = 17*u + 1. Calculate the least common multiple of 4 and i(1).
36
Suppose 2*w = 6 + 4. Suppose -w*r + 2 = -2*k, k + 21 = -5*r + 5. Find the common denominator of (27/22)/(k/(-12)) and 49/6.
66
Let x(k) = k**2 + k. Let i(s) = -12*s**2 - 14*s. Let l(b) = -i(b) - 10*x(b). Suppose 4 + 46 = 5*c. Calculate the smallest common multiple of c and l(-3).
30
Let p(o) = o**3 + 2*o**2 - 3*o + 4. Let z be p(-3). What is the common denominator of -27/8 and -1 - -1 - (-50)/z?
8
Let f(x) = -654*x. Let v be f(2). Find the common denominator of v/(-8)*(-2)/(-60) and 63/20.
20
Let w = 161882170201/22 - 7352301421. Let z = 5980927 - w. Let x = -1884 + z. Find the common denominator of 49/10 and x.
110
Suppose -8*f = -13*f + 50. Calculate the smallest common multiple of f and 1/(-4) + (-26)/(-8).
30
Let h = 1123511/54 + -20804. What is the common denominator of h and 25/12?
108
Let g = 7874/9 - 2608/3. Suppose 2*n + 4*m = -20, 5*n - 5*m + 2 + 48 = 0. Calculate the common denominator of g and 5/n*(-438)/(-9).
9
Let r = -4087 - -6600. Let d = r + -40251/16. Find the common denominator of 133/18 and d.
144
Let z be (-16)/10*(-2)/1016. Let b = 8263/2540 - z. Let w = 2027/6 + -336. Find the common denominator of b and w.
12
Let d = 29 - 5. What is the least common multiple of d and 20?
120
What is the least common multiple of 1*(-5 - -21) + -1*1 and 24?
120
Suppose 9*d = 6*d + 147. Calculate the common denominator of 1 - d*2/16 and -53/10.
40
Let t be (-197)/(-4)*(1 + 3). Let l = t - 134. What is the common denominator of (5/(20/l))/12 and 73/2?
16
Let a be 3/(-4) - (-682677)/(-132). Let z = a + 5177. Find the common denominator of 35/2 and z.
22
Let x = -27 + 30. Suppose -9 + 3 = -x*s. What is the smallest common multiple of s and 11?
22
Let d = 1019/6 - 183. Let q = 8 + -18. What is the common denominator of d and ((-1)/q)/((-1)/(-77))?
30
Suppose 6 = 3*m - q, 4*m + 4*q = -q + 27. Calculate the smallest common multiple of m and 5.
15
Let k = -63 + 39. Calculate the common denominator of 4/11 and 178/6*k/64.
88
Let f(w) = w**3 - 8*w**2 - 10*w + 11. Let t be f(9). Suppose -t*a = 3*a - 35. Calculate the smallest common multiple of a and 7.
7
Let n = -2 + 2. Suppose n = -u + d - 5*d + 2, -4*d = -u - 6. Calculate the lowest common multiple of 4 and u - 2*10/(-4).
12
Calculate the common denominator of 24/(-48) + (-67)/(-18) and 101/8.
72
Let h = -20 + 26. Calculate the lowest common multiple of h and 14.
42
Calculate the common denominator of (-909)/(-24)*4/(-18) and 77/10.
60
Let p(y) = y**3 + 12*y**2 - 12*y + 16. Calculate the lowest common multiple of 3 and p(-13).
3
Let t(g) = 18*g**3 + g - 1. Let k = 19 - -6. Let u = k - 13. Calculate the smallest common multiple of t(1) and u.
36
Suppose 5*a = z - 973, 0*a + a - 4*z = -206. Find the common denominator of (a/33)/(16/(-12)) and 194/(-36) + 2/(-6).
198
Suppose -3*x - 2*f + 18 = 0, 3*f = -5*x + 4*f + 43. What is the smallest common multiple of x and 32?
32
Calculate the common denominator of 3/10 and -3 + ((-35)/(-60))/7.
60
Calculate the common denominator of -3*(3 - (-100)/(-34)) and -35/2.
34
Let g(d) = 2*d - 6. Let q be g(4). Suppose -h + 0*h = -q. Let v = h + -1. Calculate the least common multiple of 7 and v.
7
Let t(j) = 4*j**3 - 2*j + 1. Calculate the lowest common multiple of t(1) and (-4)/10 + 74/10.
21
Let g = 1687/12 - 442/3. What is the common denominator of (-13)/(-7) - (-2 + 4) and g?
28
Let q = -2515530095805702/3143299 - -800283427. Let t = 37364414875/2131156722 + q. Let a = -34/113 - t. Find the common denominator of 5/7 and a.
42
Let s be ((-3)/36)/((-15)/(-55294)). Let k = -1549/5 - s. Calculate the common denominator of k and 31/22.
198
Let v = 8702 + -121931/14. What is the common denominator of v and ((-1414)/12)/(-7)*(-1)/(-2)?
84
Suppose z = 5*a - 5, 2*a + z - 24 = -3*z. Calculate the common denominator of 1 + (-48)/3 + a and (-4)/2 - 94/4.
2
Find the common denominator of -23/30 and ((-28)/16 - -1)/((-18)/268).
30
Suppose 5*y - 50 = 2*p, 2*y - p - 20 + 1 = 0. What is the smallest common multiple of (0 - (1 - 0))*-2 and y?
12
Let v = -9 + 13. Suppose 3*s + v = 5*s. Suppose -34 = -4*g + 14. Calculate the lowest common multiple of s and g.
12
Let x = -3847/980 + 38/49. What is the common denominator of -33/14 and x?
140
Let h(a) = 1. Let i(x) = x**2 - 3*x + 1. Let t(r) = -5*h(r) + i(r). Calculate the common denominator of t(4) and -2 - (0 + (-99)/(-6)).
2
Suppose -7*o + 40 = -2*o. Let s = 61 + -60. Calculate the smallest common multiple of s and o.
8
Let g = 11 + 5. Suppose 0*u - 3*u = 9. Calculate the smallest common multiple of (4 + (u - -1))*4 and g.
16
Let t be (17511/90)/(1/9). Let b = 1755 - t. Find the common denominator of 19/7 and b.
70
Let o(c) = 2*c + 1. What is the lowest common multiple of 10 and o(3)?
70
Let j be (-4)/16 + 19/(-4). Calculate the smallest common multiple of 416/40 - (-2)/j and 10.
10
Let q = -424157/20 + 21213. Calculate the common denominator of q and -4 + (-1)/24 + -1.
120
Let y be (-13484)/16*1/14. Let q = y + 452/7. Calculate the common denominator of q and 115/12.
24
Let s = -48386 + 33868. Let q = s + 203149/14. Find the common denominator of (-4)/(-10) - 238/40 and q.
140
Suppose 2*h - 10 = h - 5*j, -3*j = 0. What is the smallest common multiple of h and 9?
90
Let p(j) = -j + 8. Suppose -3*n = 5*b + 1, -4*b + 0*n - 2 = 3*n. What is the smallest common multiple of 8/(1