 = -9 + 3*b - 9 - 5 + 9. What is the least common multiple of u(12) and 22?
22
Suppose 0*q - q = -5. Suppose -5*z = -4*c + 25, c - 5 = q*z + 5. Suppose -c*p = 5*r - 25, -4*r + 27 = 2*p + 3. What is the smallest common multiple of r and 3?
21
Calculate the common denominator of -137/48 and 10170/(-20520) + (1 - (-8)/(-6)).
912
Find the common denominator of 35/54 and -1*(-326)/12*88/(-616).
378
Let q = 1269353/11086 + -3/5543. Let o = 82 - q. What is the common denominator of (-4)/(-10) - (5 - 7029/440) and o?
8
Let f(s) = -s**3 + s**2 - s - 4. Let b be f(0). Let n = -1 - b. Suppose 5*u - 5*r + 1 = 16, -n*r = -5*u + 19. What is the smallest common multiple of 6 and u?
30
Let p(k) = 17*k - 11. Let d(t) = 8*t - 5. Let u(r) = -9*d(r) + 4*p(r). Let n be u(1). Calculate the least common multiple of (-832)/(-39) - 2/n and 8.
88
Let p be (4 - -1)*(1 - 0). Let t = -72/31 + -2987/62. What is the common denominator of t and (-578)/220 - (-2)/p?
22
What is the lowest common multiple of 2 and (10714/7 - 0) + (-1128)/(-2632)?
3062
Suppose -8*j = -3*j + 45. Find the common denominator of (278/(-15))/(4/5) and ((-490)/84)/(11/j).
66
Suppose -2*x - 168 = -0*s + 3*s, -5*s + 10 = 0. Let k = -83 - x. What is the smallest common multiple of 20 and k?
20
Let l(i) = i**2 - i + 1. Suppose 0 = -10*x + 353 + 1147. Suppose 12*o - x + 42 = 0. What is the smallest common multiple of o and l(1)?
9
Let u be ((-15)/(-6))/(1/6). Suppose 6*r - 75 = -u. What is the least common multiple of r and 6?
30
Let r = 7 - 24. Let a = 21 + r. What is the lowest common multiple of a and 2?
4
Suppose 0 = -6*v + v + 15. Suppose 4*x - 38 = -a + 2*x, 3*x + v = 0. Suppose -j + a = 4*j. Calculate the least common multiple of 10 and j.
40
Let b = -746/175 + -19/50. Let r = -4163/374 - -122/17. What is the common denominator of r and b?
154
Suppose 69 + 4 = 2*n + 3*c, -2*c - 33 = -n. What is the smallest common multiple of 7 and n?
35
Let d = 950 + -926. What is the lowest common multiple of 208 and d?
624
Suppose 1909*k = 1922*k - 3939. What is the lowest common multiple of k and 18?
1818
Suppose -2*j - 4 = 4*t + 4, 4*t = -4*j - 8. Let f(a) = 4*a + j + 0 - 2. Calculate the lowest common multiple of f(1) and 10.
10
Let f(w) = -w**3 - 4*w**2 - 4*w + 2. Calculate the lowest common multiple of f(-3) and 158.
790
Calculate the smallest common multiple of 2 + 4986/30 - 3/15 and 54.
1512
Let m(f) = 13*f - 2. Calculate the smallest common multiple of m(2) and 30.
120
What is the common denominator of -32/55 and -1 + (-58)/(-15) - 5?
165
Let i(l) = 8*l - 4*l**2 - 14*l + 9*l - 5 - l**3 - 1. What is the least common multiple of i(-5) and 14?
28
What is the common denominator of 23/9 and 3 + (-105)/33 + (-489)/154?
126
Let g = 79808/15 + -5318. Find the common denominator of g and (-5)/(-2)*20/7.
105
Calculate the common denominator of 91/6 and 1010/(-12)*(-3)/1050*-7.
60
Let h be (-8)/32 + 135742/12. Let y = 11305 - h. What is the common denominator of (3/8)/(6/70) and y?
24
Let l = -4671119/10 + 467963. Let i = -848 + l. What is the common denominator of -6*(-20)/(-6)*6/(-105) and i?
70
Let n(p) = p - 11. Let g be n(7). Let d be (-1445)/20 + (-1)/g. What is the common denominator of 139/18 and 1130/(-144) - 16/d?
72
Suppose -26*n = -2019 - 1881. Calculate the least common multiple of n and 55.
1650
Let k(u) = -7*u + 5. Let a = 25088/9 - 2796. Calculate the common denominator of a and k(-4).
9
What is the common denominator of 1993/702 + (-60)/390 and 109/6?
54
Suppose -i + 3*x = 3*i - 164, -12 = 3*x. Let h = i - -26. Suppose -5*g = -6 - h. Calculate the smallest common multiple of 2 and g.
14
Let r(v) = v**2 + 3*v - 2. Let j be r(-4). What is the lowest common multiple of 5 and 4/(60/25 - j)?
10
Calculate the smallest common multiple of (28/(-8) - -5)*(-16)/(-3) and 21*3/((-9)/(-14)).
392
Suppose -43*a - 145 = -47*a - g, 5*a + 2*g = 182. Calculate the lowest common multiple of 9 and a.
36
Let c = -1/761 - 23583/6088. Let k = -43/16 + 1/16. What is the common denominator of k and c?
8
Suppose k - p - p = 0, 2*k + p - 25 = 0. Suppose -13*m = -k*m - 36. Let t(c) = c**3 + 5*c**2 - 7*c + 1. What is the lowest common multiple of m and t(-6)?
84
Let r be 32/8 + 0 + 4. Calculate the common denominator of 3/14 and (3/(-45))/(r/290).
84
Let o(g) = -g**3 + 28*g**2 - 23*g - 53. Calculate the least common multiple of o(27) and 5.
55
Suppose 0 = -9*c + 7*c + 10. Let p be 10/(c/(8 - 3)). Let t(n) = -2*n**3 + 21*n**2 - 10*n + 6. Calculate the smallest common multiple of t(p) and 8.
24
Let c(w) = w**2 + 5*w - 3. Let x be c(-6). Suppose -z - z - 2 = 0, -17 = -x*v + 5*z. What is the smallest common multiple of 22 and v?
44
Suppose 0 = 3*c + 5*a + 19, -c - 2 = 5*a + 1. Let v = -47/7 + -265/21. Find the common denominator of v and (-12)/(-18)*213/c.
12
Let b = 2/3393 + -116497/6786. Let v = -2107 + 10587/5. Calculate the common denominator of b and v.
30
Let u = 162 + -160. What is the lowest common multiple of 20 and u?
20
Suppose -16*q = -15*q - 36. What is the lowest common multiple of 20 and q?
180
Calculate the common denominator of (-390)/468 + (-683)/(-1005) and -99/20.
1340
Let x(c) = c - 3. Suppose -5*p = 5*t + 10, -5*p - 3*t = -3 + 21. Let w be (-42)/(-9)*p/(-4). Calculate the smallest common multiple of 16 and x(w).
16
Calculate the common denominator of 77/45 and (-9)/12 + (-627)/440.
360
Calculate the common denominator of -67/35 and 134/20*10/55.
385
Let x = 87 + -176. Find the common denominator of 13910/1498 - (-1 + 12) and x/(-40) + (-12)/20.
56
Let k = -4180 - -9316. Let i = k + -41003/8. What is the common denominator of -73/14 and i?
56
Suppose -15 = -12*o + 9. Suppose g + o*j - 8 = 0, 2 = -g + 2*g - 4*j. Calculate the smallest common multiple of 18 and g.
18
Let h be ((-18)/(-12))/(((-9)/(-60))/1). Let q = 67031/14 - 4790. Find the common denominator of q and 455/h*1/(-2).
28
Let k(x) = 248*x - 246*x + 3 - 3*x**3 + 4*x**3 + 6*x**2. Let q be k(-6). What is the lowest common multiple of 8 and q/(-4) + (-1)/4?
8
Let q(m) = 6*m - 19. Suppose 0 = -5*l - j + 6, 3*l + 10 = -j - 3*j. Calculate the lowest common multiple of l and q(5).
22
Let r = 268 - 12425/46. Calculate the common denominator of 79/((4 + -9)*2) and r.
230
Suppose 5*z + 25 = 5*s, s + z = 6*z + 9. What is the common denominator of -107/18 and 12/(-2)*((-1020)/256 + s)?
288
Suppose 3*m + z + 10 - 44 = 0, 2*z + 42 = 5*m. Let n(i) = -2*i + 35. Calculate the lowest common multiple of n(m) and 12.
60
Let h(f) = 15*f + 2. Let o be h(-2). Calculate the common denominator of 23/27 and 16/o + (-278)/420.
270
Let g(l) = l**2 + 9*l - 15. Let v be 3*(-14)/(-6)*4/7. Calculate the smallest common multiple of v + (-2 - 2/2) and g(-11).
7
Let l = -304725/28 + 10885. What is the common denominator of l and (604/144 - 2) + -2?
252
Suppose 5*i + 491 = -69. Let s be (-8)/2 - (-274520)/i. Let z = 2457 + s. Find the common denominator of -7/12 and z.
84
Let g be (-4 - -5)/(2/(-1620)). Calculate the common denominator of 46/27 and (-15)/g*((-578)/(-4) - -1).
108
Suppose 5*y + 3 = 23. Let v(i) = -2*i + 40. What is the smallest common multiple of y and v(17)?
12
Let v(t) = -2*t**3 - 5*t**2 - 6*t - 5. Let n = 9 - -1. Calculate the lowest common multiple of v(-3) and n.
110
Let z(k) be the first derivative of -k**2/2 - 5*k - 17. What is the smallest common multiple of 7 and z(-12)?
7
Let y be (-22886)/48 - 11/22. Let o = 477 + y. Calculate the common denominator of o and 91/16.
48
Suppose -2*x + 2326 = 388. Let v = x - 3895/4. Calculate the common denominator of 49/10 and v.
20
What is the common denominator of 4/((-24)/(-81))*(-58)/1276 and 43/28?
308
Let w = -2229/2 + 1145. Let x be (-1)/(0 - (-3)/34851). Let p = -208957/18 - x. Calculate the common denominator of p and w.
18
Let r = -3137 - -12611/4. Let z = r + -397/28. What is the common denominator of -34/33 and z?
231
Calculate the common denominator of -40/47 and 1/((-2)/(-4)*(-462)/1071).
517
Let u = 1641643/66 - 24874. Calculate the common denominator of u and -89/64.
2112
Let l be -317 + 1 - (-3)/3. Let x = -11 - -7. What is the common denominator of x/(-6)*l/(-100) and -13/6?
30
Calculate the common denominator of ((-18)/45)/(36/94) and -56/75.
225
Let y(b) = 2*b**2 - 5*b. Let a = -69 + 73. What is the leas