k(v) = -v + 10. Let o be k(9). Let g(x) = 7*x**2 - 2*x + 1. Let z be g(o). Find the common denominator of -29/10 and 32/(-2 - 16/z).
70
Let u(w) = w**3 - 8*w**2 + 7*w - 7. Let y be u(7). Let f(t) = t**3 + 6*t**2 - 8*t + 2. What is the lowest common multiple of 2 and f(y)?
18
Calculate the lowest common multiple of (-2)/(5 + -3)*-5 and 8.
40
Let m(k) = k**2 - 7*k. Let c be m(3). Calculate the smallest common multiple of (-54)/(-8) + (-3)/c and 2.
14
Let c = -397 + 277. Find the common denominator of (-482)/c - 1/(-3) and -93/14.
140
Let i = -4 - -12. What is the least common multiple of i and 28?
56
Find the common denominator of -99/16 and 1058/144 + 3/8.
144
Suppose m = -f + 85, 8*m - 253 = 5*m - f. Calculate the lowest common multiple of m and 16.
336
Let x = 81281/18 - 4509. Let n = 131657/12 - 10960. What is the common denominator of x and n?
36
Let n = -88989/22 - -4044. What is the common denominator of -99/4 and n?
44
Let p = -7471416/7 + 1065332. Let r = -2021 - p. Find the common denominator of -30/7 and r.
7
Let s = -1/1171 + 71433/2342. What is the common denominator of s and (1/22)/(2/(-152))?
22
Suppose -53 = 2*z - o, -4*o + 5*o - 105 = 4*z. Find the common denominator of 4/z - (-2188)/364 and (-78)/(-14) - (3 + -2).
7
Let p(w) = w**3 - 8*w**2 + 8*w - 2. Let a be p(7). Suppose -40 = -3*r + a*x, 30 = r - 3*x - 2*x. Calculate the lowest common multiple of 6 and r.
30
Let w(f) = -f - 7. Let c(b) = 2*b + 13. Let o(s) = 4*c(s) + 7*w(s). Let n be (-10)/(-3)*(-3)/(-2). Calculate the smallest common multiple of 6 and o(n).
24
Let t(c) = -14*c**3. Suppose f = l - 4 + 3, -3*f = 0. Let b be t(l). Let i = b + 24. Calculate the lowest common multiple of i and 18.
90
Suppose -3*q + 5 = 2*r, -2*r = -2*q - 0*r. Let l(c) = -2 - q + 3*c + c + 1. What is the lowest common multiple of l(3) and 6?
30
Let k = -2977/10 + 295. Suppose 2*h = 3*h - 13263. Let d = -159277/12 + h. Calculate the common denominator of d and k.
60
Let a = -6 - -10. Suppose -4*m = -m + 2*o - 74, a*o - 38 = -m. What is the smallest common multiple of -4 - (-4 - ((-16)/4 - -14)) and m?
110
Suppose 68 = -2*c + 4*c. Let t = c - 12. Calculate the lowest common multiple of 14 and t.
154
Let o(u) = -u + 13. Let a = -2 + 8. What is the smallest common multiple of 10 and o(a)?
70
Let j = 1/546 + 407/1365. Find the common denominator of j and 11/12.
60
Let b = 7 - 4. Suppose 0 = 2*n - 5*n - b. Calculate the common denominator of 65/12 and n + -1 + (-42)/44.
132
Calculate the least common multiple of 60/(-18)*(-6)/4 and 11.
55
Let g be 5713/9 + (-4)/(-18). Let f be ((-4)/3)/(12/(-9)). Calculate the common denominator of f/(-4) + g/220 and 39/2.
22
Suppose 6 = f - 2. Suppose 5 = 3*p - 22. Find the common denominator of (19/(-4))/(p/f) and 37/2.
18
Let y = 1 - 8. Let z(k) = -39*k. Let v be z(y). Find the common denominator of 2/4 - v/(-24) and 71/12.
24
Suppose 4*c - 6 = 2. Suppose 24 = -4*y + 3*w, -y + c*w = 1 + 5. Calculate the common denominator of -31/6 and ((-34)/12)/(y/(-4)).
18
Calculate the common denominator of -9 + 6 - (-166)/16 and (-99)/12*(-3)/(-6).
8
Find the common denominator of -23/32 and ((-2)/(-6) - 1)*2424/192.
96
Let z(r) = -2*r**2 + 4*r + 2. Let a be z(5). Calculate the common denominator of (-1210)/a - (-2)/7 and 12/11.
22
Let t = 655391107/972150 + 3/162025. Let z = 676 - t. Calculate the common denominator of -31/10 and z.
30
Let x be 11/(-2)*6*1. Calculate the lowest common multiple of 6 and -3 - x/6*2.
24
Let g = 16 + -15. What is the lowest common multiple of (2/6)/(g/33) and 2?
22
Let g(p) = 2*p**3 - 9*p**2 - 2*p - 7. Calculate the lowest common multiple of g(5) and 17.
136
Let n = -37249/1794 + -21/299. Find the common denominator of 76/9 and n.
18
Let f(c) be the first derivative of -c**3/3 - 5*c**2/2 + 6*c - 3. Let i be f(-6). Suppose -g - 3*g + 40 = i. What is the least common multiple of g and 12?
60
Let m = 3669/7612 - -298/173. Calculate the common denominator of m and 101/12.
132
Calculate the common denominator of -23/18 and 1 + (10/(-30))/(8/6).
36
Let i = -3099/8 + 386. Let o be (8/(-3))/(2/843). Let a = o - -3434/3. What is the common denominator of a and i?
24
Suppose 3*v = 5*v - 40. Calculate the lowest common multiple of 16 and v.
80
Suppose 20*v = 17*v + 30. Calculate the lowest common multiple of 6 and v.
30
What is the common denominator of 6*(1476/(-2640) - (-2)/4) and -5/2?
110
Let n = -1205963442263/1851561 - 8/617187. Let s = n + 649620. Let f = s - -1697. Find the common denominator of 31/4 and f.
36
Calculate the lowest common multiple of ((-2)/4)/((-7)/14) and (-28)/6*6/(-4).
7
Let m be (-28)/(-10) - (-12)/(-15). Suppose -32 = -3*n - 5*j, 5*j = -2*n + m*j + 20. What is the lowest common multiple of 18 and n?
36
Let h(y) = -y**3 + 2*y**2 - 2*y + 1. Let i be h(3). Let l = i + 25. Calculate the smallest common multiple of l and ((-18)/30)/((-7)/(-10) - 1).
22
Suppose -5*k + 11 + 4 = 0. Suppose -3*j + 5*p = -2*j + 4, 16 = k*j - p. Calculate the lowest common multiple of j and 7.
42
Suppose 2*i = -2*k + 2, -k = 2*i - 2*k + 7. Calculate the least common multiple of 3 and 4 + (i/(-2) - 4).
3
Let l(r) = -r + 5. Let y = -3 - 6. What is the lowest common multiple of l(y) and 2?
14
Let q = -4828 + 19413/4. Let g be (-8)/(-20) - 270094/(-53480). Let w = g + -1/2674. Find the common denominator of w and q.
20
Let q = -109302797/392 + 278834. Let g = q - -2/49. What is the common denominator of g and -57/4?
8
Let d(y) = 2*y**2 + 3*y - 2. Calculate the least common multiple of d(-3) and 9.
63
Suppose -5*k + f = -3, -2*k + 5 = k + f. Suppose 0 = 3*u + 6, -4 = 5*y + 3*u + 2. Let b = k - y. What is the least common multiple of 8 and b?
8
Let y = 26 - 20. Let p(o) = o**3 + 14. What is the lowest common multiple of p(0) and y?
42
Let t = -32 + -67. What is the common denominator of (-3)/9*t/(-12) and 71/10?
20
Suppose 0 = v - x + 1, 3*v + 16 = 7*v + x. What is the least common multiple of 1 and v?
3
Let f(m) = m**3 - 9*m**2 - 11*m - 7. Let q be f(10). Let r = 23 + q. What is the lowest common multiple of r and 9?
18
Let g = -796 + 1408919/1770. Let j = g - -2459/1180. Find the common denominator of 1/16 and j.
48
Suppose -64 = -4*s + 4*r, -3*s - 92 = -8*s + 2*r. Let h(q) = 2*q**3 - 3*q**2 - 4*q + 1. What is the least common multiple of h(3) and s?
80
Suppose -4*k = 2*d - 14 - 4, 2*d - 20 = -5*k. What is the lowest common multiple of k and 0 + -3 + 2 + 2?
2
Let f = 17597/31 + 761034/217. Let h = f + -4068. Find the common denominator of -31 and h.
7
Suppose t - 1 - 1 = 0. Suppose 3*d = h + 2*h - 27, 26 = 4*h - t*d. Let z = h - 0. Calculate the lowest common multiple of z and 5.
20
Let d = 6/19 - 227/57. Calculate the common denominator of d and -37/27.
27
Find the common denominator of ((-2)/(-8))/(55/40) and -64/21.
231
Let d = -112 + 266. Let z = 7/354 + 11123/1416. Calculate the common denominator of 6/(-21) - 89/d and z.
88
Let g be 5/(10/(-3))*286. Calculate the common denominator of (-6)/8*g/27 and -1/18.
36
Let p(c) = -c**2 + 5*c - 3. Let x be p(3). Suppose 4*g + a = -4, 5*g - x*a + 11 + 11 = 0. Calculate the lowest common multiple of 2 and (-3 + 0)*g/3.
2
Let w = -151/4 + 215/8. What is the common denominator of (-12)/(-8) - (-1 - 97/(-4)) and w?
8
Let a(n) = 44*n + 2. Let r be a(5). What is the common denominator of (1/20)/(1/r) and -5*(273/(-45) - -3)?
30
Suppose 2*n - 33 = -n. Suppose -n - 5 = -4*f. What is the smallest common multiple of f and 6?
12
Let y = 9493444421170237/504 - 18836207070120. Let l = y + 7821762. Let q = 5/56 - l. Calculate the common denominator of q and -31/4.
36
Let v be 6/4*18443/(-15). Let c = v + 1833. What is the common denominator of c and -149/18?
90
Let u = -1241/9 - -275/2. Calculate the common denominator of u and -131/30.
90
Let u = 60 + -39. What is the lowest common multiple of u and 18?
126
Let b = -60 + 78. What is the lowest common multiple of b and 22?
198
What is the common denominator of (-7)/(385/(-10)) + (-1526)/(-198) and (9/4)/((-3)/(-34))?
18
Let h be -2327*1/2 + 0. Let c(o) = 7*o**3 + 8*o**2 - o + 4. Let l be c(-6). Let f = l - h. Find the common denominator of f and -109/20.
20
Suppose 5*w - 16 - 39 = 0. Calculate the lowest common multiple of w and 7.
77
Let k be (226/(-28))/(8/222730). Let f =