nator of b and m.
765
Let o(m) = -m - 1. Suppose q + q = 4*t - 22, 5*t = -2*q + 5. Let d be o(t). Calculate the common denominator of 61/2 and ((1 - d) + 4)/(-9 + -1).
10
Suppose 42*o = 37*o + 25. Suppose -3*t + o*u + 12 = -2*t, 4 = 4*t + 2*u. What is the smallest common multiple of 84 and t?
84
Let f = 870789/40 - 21772. Let t = 389/152 - 45/38. What is the common denominator of f and t?
40
Let g = 100421 - 21691039/216. Find the common denominator of -79/945 and g.
7560
Let l = 1804 - 1726. Calculate the least common multiple of 132 and l.
1716
Suppose 1 = -8*n + 17. Suppose 45 + 11 = n*x. What is the common denominator of (x/(-16))/((-4)/(-26)) and 34/5?
40
Suppose 21*c = 7884 - 7422. Calculate the least common multiple of 320 and c.
3520
Let s = -4414 - -4471. What is the smallest common multiple of s and 870?
16530
Calculate the lowest common multiple of 2855*(-99)/(-315) + (-2)/7 and 299.
897
Let q(s) = -s**2 + 15*s + 19. Let t be q(16). Calculate the common denominator of 2816/(-120)*t/36*-3 and -26/45.
45
Calculate the least common multiple of 12/(-90) + 913774/705 and 270.
6480
Suppose -40*s = -18*s - 1122. Suppose -3*k + 4*x + 28 = -14, 2*k + 5*x = s. Calculate the smallest common multiple of 24 and k.
72
Let k(z) = -z**3 + 4*z**2 + z + 8. Let r = -33 - -37. Suppose 2*i - 7 = 1. Calculate the lowest common multiple of i and k(r).
12
Let q = 556000149/28 - 19852045. Let t = q - 5104. What is the common denominator of 9/35 and t?
140
Let t = 711 - 698. Suppose 302 = t*x - 62. Calculate the least common multiple of x and 147.
588
Let c be 789/(-6)*(0 - (-6)/174). Let a = -1/29 - c. Find the common denominator of -89/266 and a.
266
Suppose l - 180 = -3*l. Let i be 16/208 + (-454)/(-13). Suppose i = -n + l. What is the lowest common multiple of 6 and n?
30
Let b(z) = -3*z - 4. Let k(l) = -l**3 - 7*l**2 + 10*l - 3. Let r be k(-9). Suppose -r = -3*o - 3. What is the lowest common multiple of b(-6) and o?
154
Let m = 64 + -9. Suppose -43*v - 22*v + 2862 = -3573. Calculate the least common multiple of m and v.
495
Suppose -11 = -3*u + 7. Suppose -2*a = -2*r - 20, 0 = a + 4*r - r + u. Calculate the smallest common multiple of a and (-6 - -2) + (-144)/(-12).
24
Let w = -10 + 13. Let b(i) = -i**3 - 8*i**2 + 7*i - 3. Let r = 70 + -79. What is the smallest common multiple of w and b(r)?
15
Let a = 68763/20 - 3436. Let g be 1118/(-65) - (-8)/2. Let m = 327/10 + g. Calculate the common denominator of m and a.
20
Let y(p) = -78*p - 3734. What is the least common multiple of 24 and y(-49)?
264
Let v = -1038/25 + 19798/525. Find the common denominator of v and 43/12.
84
Let k = 55 - 34. Let q(t) = -36*t + 513. What is the least common multiple of q(14) and k?
63
Let y = -14125/2196 + -3/244. Calculate the common denominator of y and -82/225.
225
Suppose 4*k + j = -1400, -6*k - 1050 = -3*k + 5*j. Let p = -258 - k. What is the lowest common multiple of p and 14?
644
Let p(x) = -7*x - 32. Let f be p(-6). Suppose f*o - 4*o = 30. Suppose o*a = -3*q + 40, 3*a - a - 5*q - 47 = 0. Calculate the least common multiple of a and 11.
11
Suppose 6*s - 1138 = 2852. Let y be (-5316)/s - (-48)/64. Let m = -4/665 + y. Find the common denominator of -19/16 and m.
16
Suppose -58*z - 2858 + 4076 = 0. Let o = 100 + -44. Calculate the lowest common multiple of z and o.
168
Let d = 635 + 1016. Calculate the common denominator of 29/22 and 4 + -2 - 1 - d/390.
330
Find the common denominator of 68/5403 and (-308)/55 - ((-32)/30 + 1).
27015
Let t = -4220 - -4248. What is the least common multiple of 32 and t?
224
Let d = -107 - -111. Suppose -d*n + 5*j + 12 = -42, 3*j + 74 = 5*n. Calculate the smallest common multiple of 44 and n.
176
Let q(n) = 6*n + 59. Let v be q(-14). Calculate the common denominator of 2 - (-2)/(-6)*v and -36/13.
39
What is the common denominator of -98/255 and -1*(-1*22/750)/((-2)/5)?
2550
Calculate the common denominator of -7/2 and (-212)/(-264) - (4 - 3).
66
Let k = -15 - -22. Suppose -r + k*r = 516. Let j = -82 + r. Calculate the smallest common multiple of 20 and j.
20
Let c = 1066 + -743. Let g(a) = -6*a**2 - 9*a + 8. What is the lowest common multiple of c and g(-2)?
646
Let w = -44 - -44. Suppose -2*n = 3*g - 0*n - 41, 4*g + n - 48 = w. Suppose -17*p = -g*p - 48. What is the least common multiple of 59 and p?
472
Suppose o - 3*w - 13 = 0, 8*w - 52 = -4*o + 6*w. Let c = 2053 - 6107/3. What is the common denominator of c and (143/(-4))/o - -7?
12
Let a be (-2514)/(-70) - 0/(-3). Let b = -278/7 + a. Calculate the common denominator of ((-32)/768)/((-7)/(-1750)) and b.
60
Suppose 15 = -4*d - 1. Find the common denominator of (-1 - d - 4) + (-201)/(-630) and -65/6.
210
Calculate the common denominator of 48/70 + (0 - 0) and 754/637*6/(-12).
245
Let h = 357/43 - 4129/430. Find the common denominator of h and (2/(-80))/(9/(-12)).
30
Suppose 0 = -7*j + 4078 + 5568. Let x be 579/4*344/36. Let b = x - j. Calculate the common denominator of 0 and b.
6
Let d(p) = -p**3 + 6*p**2 + 2*p + 14. Let i = -111 + 116. What is the least common multiple of 2 and d(i)?
98
Let m(i) = i**2 + i + 6. Suppose -10 = 27*f - 22*f - 2*a, 0 = 5*a + 25. Suppose -3*g + 2*g + 27 = 0. Calculate the smallest common multiple of g and m(f).
54
Let s = -490211 + 226477393/462. Find the common denominator of s and -55/28.
924
Let l = -3/1036 + 6152/259. Find the common denominator of l and 4374/3402*(58/(-48) + 2).
56
Suppose a = -n + 11077, -a + 1327*n = 1332*n - 11057. Calculate the least common multiple of a and 20.
110820
Find the common denominator of -91/2358 and 3 - 18 - (-8 + -1) - (-334)/24.
4716
Let v(y) = -y**3 + 3*y**2 + 2*y - 1. Let o be v(3). Suppose o*h - 2*m = 27, -5*m + 7 = -13. Calculate the smallest common multiple of 8/12*(-1 - -10) and h.
42
Let a = -30 - -28. Let f be (84 - 4)/(1 - (4 + a)). Calculate the smallest common multiple of 34 and 3/(-2)*f/12.
170
Let d = 20 + -26. Let l(a) = -a**2 - 5*a - 4. Let r be l(d). Calculate the common denominator of (-82)/(-180) - (-4)/r and -23/24.
72
Suppose -2*u = 4*a - 618, 27*u + 1209 = 31*u - a. What is the smallest common multiple of 63 and u?
6363
Let f = 199 + -836. Let h = 682 + f. Suppose -3*u + 11 = -88. Calculate the smallest common multiple of h and u.
495
What is the common denominator of 43/60 and (-2422)/1320 + -9 + (-576)/(-60)?
660
Let k = 148463/550 + -2951/11. Find the common denominator of (-2)/((-158464)/(-1760) - (-10)/(-275)) and k.
450
Let t = 15286321/100 - 152864. Let o = -1085 - -10811/10. Calculate the common denominator of t and o.
100
Suppose 0 = -25*p - 13*p + 4439 + 11825. What is the smallest common multiple of p and 184?
19688
Suppose 7 = 4*o - 5*p - 60, -4*p = 5*o - 135. Suppose o = -f + 25. Suppose 6*u - 34 - f = 0. What is the lowest common multiple of 4 and u?
12
What is the common denominator of 11/(7 + -14*(-344)/80) and -91/236?
19824
Suppose -19*m - 192 - 36 = 0. Let k(c) = c**2 - 13*c - 160. Calculate the smallest common multiple of 70 and k(m).
140
Let q be (-2838)/(-363) - (-4)/22. Calculate the least common multiple of q*((-13)/4 - -5) and 3.
42
What is the common denominator of ((-111)/(-185) - 216/(-15))/(-8) and (-69)/28 + 1/1?
56
Suppose -81*z - 48 = -93*z. Calculate the common denominator of z - (-2 + (-463)/(-72)) and -145/18.
72
Suppose 3*b - 44 = i, 4*b + i + 2*i = 50. Let j(c) = -2443*c - 14644. What is the least common multiple of j(-6) and b?
14
What is the common denominator of -29/468 and 1 + (-6)/3 + 8909/3624?
936
Let u(p) = 16*p + 187. Suppose x - 4*o = 2*x + 11, x + 11 = 5*o. What is the lowest common multiple of 245 and u(x)?
2695
Let k = 26744 + -1497625/56. Let i = k - 15/14. What is the common denominator of (-1)/4 + 1384/(-224) and i?
56
Suppose 1143*a + 1203*a = 28152. Suppose 0 = 2*u + o + 184, 4*o - 108 - 365 = 5*u. Let i = 247 + u. Calculate the lowest common multiple of a and i.
924
Let q = -2437/5060 + -21/460. Calculate the common denominator of q and 364791/(-79068) - (-3)/4.
110
Let d(k) = -33*k + 11. Let n(i) = 22*i - 7. Let s(r) = 5*d(r) + 8*n(r). Calculate the smallest common multiple of s(2) and 9.
63
Let z be 3/(6/76)*12. What is the common denominator of 107/36 and (76/z)/(0 + (-2)/(-14))?
36
Let r be 2 - (4 - 4) - -1. Let x be (-14)/r*(-12)/2. 