 k = -0 - 1. What is the common denominator of 5/((-300)/(-1130)) - (-3 - -8) and 146/(-6) + k + 3?
6
Let x(i) = -5*i**3 + 30*i**2 - 2*i - 16. Let j be x(6). Calculate the lowest common multiple of ((-1011)/(-21) - (-4)/j)/2 and 54.
216
Let y = -40037/399 - -1902/19. Find the common denominator of y and -55/1707.
11949
Let r = 24899 - 24849. Suppose 4*h - 5*t = 12, -2*h - 2*t - t = -6. Suppose 2*x - x - 5*l = -2, h*l + 10 = 2*x. What is the smallest common multiple of r and x?
200
Let h(s) = -2*s**2 - 25*s + 596. Let q be 225/20 + (-2)/8. Suppose 3 = -d + q. What is the smallest common multiple of d and h(12)?
8
Suppose 30 = -13*u + 10*u. Let x be 60/(-75)*u/2. Suppose 0 = -t, -o - 60 = -3*o + x*t. Calculate the smallest common multiple of o and 12.
60
Let y(g) = 11*g + 6 - 14*g**2 - 21 + 50*g**2 - 19 + 6. What is the lowest common multiple of y(3) and 1?
329
Let g(f) = f**3 + 26*f**2 + 6*f + 168. What is the least common multiple of 54 and g(-26)?
108
Suppose -42*z + 60*z + 3708 = 0. Let d = z - -221. What is the lowest common multiple of 12 and d?
60
Find the common denominator of 21/11718*(-74526)/44*-2 + -6 and -87/4.
4092
Let o = 965924269/217962 - -1265/12109. Let z = 15 - 4449. Let a = z + o. Calculate the common denominator of a and -58/15.
90
Let m be 20*(2 - 3)*(-5 + -5). Let o be (24/20)/((-1)/m). Calculate the common denominator of (-7)/(6/(-2)*o/9) and 25/18.
720
Suppose 4*v + 30 = m, -2*m + 60 = -6*v + 3*v. Suppose 23*u + 4*n - 30 = 20*u, -m = -3*u + 4*n. What is the lowest common multiple of 54 and u?
270
Calculate the common denominator of (-188)/(-98)*(-350)/(-3000) and 151/60.
420
Suppose 0 = -4*u + 5 + 31. Suppose u*d + 10 = 37. Suppose -2*v - 4*q - 1 = -v, -d*v + 25 = -2*q. Calculate the lowest common multiple of 14 and v.
14
Let s = -2/765173 + 114012697/734566080. Find the common denominator of -131/2112 and s.
10560
Suppose -5*x + 222 = -3*x. Suppose -1456 = 608*i - 790*i. Calculate the lowest common multiple of i and x.
888
Suppose 11*j = -2*j - 2275. Let x = j + 191. Calculate the lowest common multiple of x and 180.
720
Let n = -316/365 + -5/146. Let f be -5 - -1 - 13924/(-3486). Let m = f - -99551/34860. Find the common denominator of n and m.
20
Let v(m) = 18*m**2 + 63*m - 104. Calculate the lowest common multiple of v(-8) and 119.
3808
Let s(r) be the third derivative of -r**5/12 + 25*r**4/24 + r**3/3 + 6*r**2. Calculate the smallest common multiple of s(5) and 18.
18
Calculate the lowest common multiple of (52/14 + -2)*(783 - (12 + -20)) and 18.
4068
Calculate the smallest common multiple of 141 and (-20)/(-1210)*-11*-132.
1128
Suppose -11 + 7 = -4*j. Calculate the common denominator of (-59 + j)*(-10)/48 + -1 and -31/240.
240
Find the common denominator of (915/90 - 12)*-6 + (1 - -2) and (-31)/(-53) + -1 + 1.
53
Let n be (2/4)/(205/(-40) + 5). Let t be -1*(2517 + 0)/((-6)/n). Let v = t - -35221/21. Calculate the common denominator of v and -101/18.
126
Let m(t) = t**3 - 12*t**2 + 18*t + 17. Let o be m(10). Find the common denominator of o + 2488/(-532) - 2/(-19) and 2/(-6) - (-338)/24.
28
Let t be 2*35/10*(-1 - -6). Suppose -t = 3*c - 4*c - a, -4*a = 5*c - 173. What is the smallest common multiple of c + -3 + 4 - 1 and 30?
330
Let b(h) = -2*h + 2. Let x be b(-5). Find the common denominator of (-4)/10*189/12 and ((-2)/(-42))/(x + 17504/(-1488)).
770
Let z = 643961/19948705 - -3/173467. Calculate the common denominator of -17/21 and z.
2415
Let s(r) = -2*r + 19. Let c be s(8). Let v be (-1 + -64 - -5)*(-2)/c. Suppose 0*j = -5*j + o - v, o + 9 = -2*j. Calculate the common denominator of 40/7 and j.
7
Let i = 105 - 63. Suppose -f + i = 5*c, -c - 2*f + 16 = 2*f. Suppose 40 = p + b, 4*p - 5*b + 8 = 150. What is the least common multiple of p and c?
152
Let i be -3 - (-25 + -5)/6. Suppose -24*q + 23*q - 3 = -i*k, -q - k + 9 = 0. What is the lowest common multiple of q and 11?
55
Let z be (-6)/4 - 114/16*4. Calculate the common denominator of -94/15 and ((-3)/12)/(z/(-219)).
120
Let a(y) = y**3 + 11*y**2 - 28*y + 9. Let i be a(-13). Suppose -40*m + 60 = -i*m. Calculate the smallest common multiple of 22 and m.
132
Let t = -30175/3438 - -159/191. Find the common denominator of -1/564 and t.
1692
Let g = 403914 - 2432297/6. Let d = g + 1451. What is the common denominator of d and ((-11)/132)/((-2)/(-4))?
6
Let a = 5 + 5. Let m = -5585 - -5641. Calculate the least common multiple of a and m.
280
Suppose 0 = 12*l - 3*l - 117. Suppose 0 = 5*x - l - 2. Suppose -5*k + 48 = x*k. Calculate the least common multiple of k and 7.
42
Suppose -3*l + 144 = -5*m - 0*l, -96 = 3*m + 3*l. What is the lowest common multiple of (162/m)/(6/(-30)) and 99?
297
Let n(v) = -v - 1. Let t(c) = 2*c + 9. Let s(h) = -3*n(h) - t(h). Let k be s(2). Calculate the common denominator of -107/6 and 166/(-20) + (-8 - k).
30
What is the common denominator of -73/6 and ((-12)/(240/148))/((-4844)/(-10) - 0)?
7266
Let f = -875521/50 - -17508. Calculate the common denominator of f and 61/1955.
19550
Let l = 3788 + -3718. What is the smallest common multiple of l and 91?
910
Suppose 2*a + 2824 = 2*v, -117*a + 114*a = -v + 1406. What is the smallest common multiple of 35 and v?
9905
Suppose -9*h - 1530 = -15*h. Let f = -243 + h. Calculate the least common multiple of f and 10.
60
Let z be (-18520)/(-50) + 2/(-5). Let n = z + -364. What is the least common multiple of 4 and n?
12
Let f = 48 + -44. Suppose -2*v = 2*b - 2, 7 = f*b + 11. Calculate the lowest common multiple of v and 20.
20
Suppose -14000 = -131*o - 66*o + 116414. What is the least common multiple of 50 and o?
16550
Suppose -44*n + 42*n + 780 = 0. Suppose 8*l + n = 18*l. Let u(m) = 26*m**2 + m. What is the lowest common multiple of u(1) and l?
351
Let y = 153 + -80. Calculate the smallest common multiple of y and 6 + 2 - (21 + (-25 - -2)).
730
Let h = 5/426 - -8287/1704. Calculate the common denominator of 63/2770 and h.
11080
Let o be ((-36)/63)/(18/687). Let g = o + 5963/336. Calculate the common denominator of 51/(-5) - 1/2 and g.
80
Let z = -82 + 121. Suppose a + 969 = 4*c - 0*a + 937, 3*a + 24 = 0. Calculate the smallest common multiple of z and c.
78
Let a be (8/(-32))/((-9)/383982). Let w = a - 10643. Find the common denominator of 27/184 and w.
552
Let h = -747 + 753. Let x(g) = -g**3 - g**2 + 30. Let b = 30 - 30. Calculate the lowest common multiple of x(b) and h.
30
What is the least common multiple of 56 and 238 + 2 - 0*(-7)/28?
1680
Let j be 96/(-18)*(-3 - 27/(-6)). Calculate the least common multiple of 52 and (-4)/(-6)*j/16*-12.
52
Suppose 20 = 11*q - 7*q. Let i be (4 - q)*(2 - (-238)/(-120)). Let z = -1337/180 + i. Calculate the common denominator of z and -65/9.
9
Suppose 0*y + c = 2*y - 25, y - c = 11. Calculate the lowest common multiple of y and 1 + -16 - 391/(-34)*8.
154
Let b(a) = 327*a - 3519. What is the lowest common multiple of b(18) and 90?
23670
Suppose -1648 = -5*f + 2257. What is the least common multiple of 781 and f?
781
Let j(i) = -361*i**2 - 4*i + 1. Let l be j(-2). Let d = l + 17165/12. Let z = 79589/8 + -9961. Calculate the common denominator of d and z.
24
Let p = -32354768 + 711620083/22. Let f = 8405 + p. Let y = 5309/462 - 226/33. What is the common denominator of y and f?
154
Suppose 0 = 3*p - p - 12. Suppose o = -5*h + 43, 2*o = p*o + 2*h - 82. What is the smallest common multiple of o and 178?
1602
Suppose -3*y + 41 = -67. Find the common denominator of 2039/7950 - y/(-450) and -99/10.
1590
Suppose -x + 0*x + 15 = 0. Let h(r) = -2*r**2 - 29*r - 27. Suppose -3 = 8*t - 9*t, -2*t = -4*q - 54. What is the lowest common multiple of x and h(q)?
165
Suppose y - 5*y - 16 = 0, u = -2*y + 145. Let w = 201 - u. What is the smallest common multiple of w and 40?
240
Let j = -72930779/7623 + 33875/1089. Let x = j - -9538. Find the common denominator of x and 53/21.
21
Suppose -369*q + 1797062 = -2104744. What is the least common multiple of q and 18?
95166
Let a be ((-1)/2)/(12/216). Let s = a - -21. Let z(n) = 3*n + 9. Calculate the smallest common multiple of z(6) and s.
108
Let z be -7 + 9 + (2 - 2). Suppose 0 = -3*m - z*s - 268, -2*m + 6*m = -4*s - 352. What is the lowest common multiple of (-36)/(-45) + m/(-10) and 8?
40
Let w be 5/(105/(-132)) + (-24)/(-84). What