(-2)/(-1) - (-1 - -5). Let i = -1/1196 + -34081/5980. Find the common denominator of i and (-15)/m*(-32)/(-200).
10
Let c(h) = h**3 + 6*h**2 - 6*h + 1. Let i be c(-5). Let k be (i/(-10))/((-10)/25). Suppose 70 = 4*r + k. Calculate the lowest common multiple of 9 and r.
126
Let o = 13 + -5. Let b be (-36 - -6)/((-6)/8). What is the lowest common multiple of o and (-1)/(-4) - (-70)/b?
8
Calculate the common denominator of -19/9 and -2 + ((-100)/(-16))/((-6)/18).
36
Let x = -14412 + 22136833/1536. Let n = 66077/44544 - x. What is the common denominator of 253/132*(13 + -4) and n?
116
Let p be (-6)/(-2) + (-35)/(-5). Suppose -h = -0*h - p. What is the least common multiple of h and 3?
30
Suppose -16*h = -21*h + 550. Calculate the least common multiple of h and 11.
110
Let c = 18927 - 18918. Let p be (-8)/6*6/4. Let t = p - -12. What is the smallest common multiple of c and t?
90
Let r be ((-4564)/10 - -4)*20. Let v be r/9 + 6/(-8). Let a = -1004 - v. Calculate the common denominator of -87/16 and a.
48
Let n(k) = -73*k - 233. What is the least common multiple of n(-4) and 8?
472
Calculate the common denominator of 22015/(-3150) - (-3)/5 and -59/126.
126
Let h = -12 - -17. Calculate the common denominator of h/(-18)*(-74)/10 and (-3*(-97)/6)/4.
72
Let g be 1756/(-7224) + 6/21. Let b = g + 1822/129. Let i = -8/1797 - -48695/39534. Find the common denominator of i and b.
66
Let z = -4 + 9. Suppose 2*b - z*h = 33, 2*b - b - 3*h - 19 = 0. Let m = 487 + -484. Calculate the least common multiple of b and m.
12
Find the common denominator of 49/108 and (-7 + 9)*770/(-2340).
1404
Let t(x) = 2*x**3 - 4*x**2 + 6*x - 9. What is the smallest common multiple of 6 and t(3)?
54
Let v(a) = -2*a**2 + 22*a - 10. What is the least common multiple of v(10) and 308?
1540
Let p = 9 + 47. Calculate the least common multiple of 8 and p.
56
Let q(p) = 2*p + 4. Calculate the least common multiple of q(5) and 2/9 - (-1166)/99.
84
Let w = 1407 - 16901/12. Calculate the common denominator of w and -4 - (7245/(-78))/15.
156
Let f = 6476/2519 - -15/229. Find the common denominator of 4/26 + (10 - (-368)/312) and f.
33
Let c be (-1)/(1*2/(-10)). Suppose -2*r = -7*r - 5, r = c*z - 486. Let u = 395/4 - z. What is the common denominator of u and -71/9?
36
Suppose 0 = 4*o - 2*o - 36. What is the lowest common multiple of o and (-1*33)/(((-4)/6)/((-306)/(-1377)))?
198
Let s be 29732/(-8)*(-1)/66. Let a = -709/12 + s. What is the common denominator of 25/18 and a?
198
Suppose -2*p + 188 = 4*n, -n - 4*p = -3*n + 104. Calculate the lowest common multiple of n and 24.
48
Let b = -12 + 68. What is the least common multiple of b and 126?
504
Suppose 0 = -68*b + 28*b + 10320. Calculate the smallest common multiple of b and 12.
516
Let v = 12459 - 149371/12. Find the common denominator of 95/66 and v.
132
Let s = -626 - -246. Find the common denominator of (-4)/(-2) + -4 + s/(-16) and -107/22.
44
Suppose 781 = -4*z + 821. Let i(m) = -m**3 + 2*m**2 + 2*m - 1. Let l be i(2). Calculate the least common multiple of 0 + (-2)/((-6)/l) and z.
10
What is the common denominator of -27/4 and (-1122)/352 - (2 - 57/24)?
16
Let l(x) = -3*x**3 - 3*x**2 + 4*x - 6. Let n be l(2). Let h = 28 + n. Find the common denominator of h and -34/13.
13
Suppose 2*t + 204 + 14 = 0. Let i = t + 331/3. Calculate the common denominator of i and 21/5.
15
Suppose 0 = r - l - 4, -5 = 2*r - 4*l - 11. Suppose -t = -6*t - r*b + 65, -4 = -b. What is the common denominator of 3/t + 47/(-24) and -93/16?
16
Find the common denominator of 4/10 + (3 - (-369)/40) and -151/516.
1032
Suppose 6*n = -29 + 5. Let c be 3 + -3 + (-230)/n. Let a = -527/8 + c. What is the common denominator of 53/2 and a?
8
Suppose -u = -5*u + 60. Let i = u - 10. Suppose 1 - i = -z. Calculate the smallest common multiple of 3 and z.
12
Let r = 2399 - 23899/10. Let y = 111 - 1406. Find the common denominator of 2 - (y/(-252) + (-1)/(-6)) and r.
180
Let x(u) = 3*u + 4. What is the least common multiple of x(0) and (153/12)/((-3)/(-8))?
68
Calculate the common denominator of (-14)/(-140) + 61/140 and 39/16.
112
Let r = 24 + -24. Let o = 9 + -13. Calculate the common denominator of 101/6 and (-5)/(-12) + (r - o).
12
Suppose 0 = -0*r + 3*r - 198. Suppose 10*v + 2 + 430 = -17*v. Find the common denominator of v and 4/(-6) - (-278)/r.
11
Let r(n) be the second derivative of n**3/3 - 9*n**2/2 + n. What is the lowest common multiple of 6 and r(8)?
42
Suppose 19*b - 14*b = 135. Calculate the least common multiple of 12 and b.
108
Calculate the common denominator of (-2*(-2 + 177/27))/44 and -51/16.
1584
What is the common denominator of 268/3082 - 5738/(-3312) and 21/40?
360
Let s be 28/(-21)*(-5 - 1) + 4. Suppose 3*i - 6*i + s = 0. Calculate the smallest common multiple of i and 54.
108
Let k(n) = -n**3 - 5*n**2 - 6*n - 7. Let b be k(-4). What is the common denominator of b + 218/(-32) - (-1)/2 and -107/40?
80
Let u = 29 + -17. Let f = 73 - 71. Calculate the lowest common multiple of f and u.
12
Suppose 4*c = 0, 0 = -5*x - 0*x + 4*c + 55. Calculate the lowest common multiple of -5 - ((3 - x) + -3) and 33.
66
Calculate the common denominator of -115/12 and 5/60*6 + 27/(-4).
12
Let a = 512629/40 - 12815. What is the common denominator of a and 3/8?
40
Let u be 14/(-21) + (-5564)/6. Calculate the common denominator of (-4 - (-45)/12) + 916/48 and (-3)/5 - u/(-220).
66
Let s(u) = 3*u**2 - 3*u + 4. Let r be s(2). Let o = r - -11. Find the common denominator of o/147 - 1802/168 and -13/32.
96
Calculate the common denominator of 31/39 and (-38)/294*(-2 + 24/9).
5733
Let d = -11173/3192 + 51/1064. Let w = -1205/4 + 286. What is the common denominator of d and w?
84
Calculate the common denominator of 9/5 and (-186)/462 + (2 - (-120)/(-55)).
385
Suppose -5*q + 25 = 0, -4*q + q = 5*h + 10325. Let d be ((163007/(-6))/(-13))/(-1 + 0). Let i = d - h. Calculate the common denominator of i and -93/10.
30
Suppose -4*g - g + 15 = 0. Let o(q) = 3*q**3 - 3*q**2 - 2*q - 3. Suppose 0 = 4*i + 4, 4*i + 41 = -2*w + 3*i. Find the common denominator of w and o(g).
1
Suppose -2*t + 112 = -4*l, -244 = -3*t - 4*l - 46. Calculate the common denominator of t*(5/(-10) + (-3)/(-5)) and 9/7.
35
Let f(c) = -2 + 4*c + c**2 + 0 - 9*c. Let d be f(-5). Suppose -6*h + d = 12. Calculate the lowest common multiple of h and 6.
6
Let z(y) = -y**3 - 70*y**2 + 76*y + 410. Calculate the smallest common multiple of z(-71) and 255.
2805
Let z be 6/(72/20)*24. Suppose -3*w - h = -z, 0 = 2*w - 2*h - h - 12. Let n = 18 - w. Calculate the lowest common multiple of 20 and n.
60
Suppose -115 = -5*f - 5*m, -5*m - 23 = -3*f + 86. Let l(h) = -13*h**2 + 65*h + 2. Calculate the lowest common multiple of l(5) and f.
28
Let h be (12/10)/((-3)/15). Let q = -19649/1998 - -1/999. What is the common denominator of (213/6)/(h/2) and q?
6
Suppose -19 = 4*o - 71. Suppose 0 = 6*h + o + 29. Let q(m) = -m**2 - 9*m + 2. Calculate the lowest common multiple of 2 and q(h).
16
What is the least common multiple of 214/18 - ((-3)/(-27))/(-1) and 408?
408
Let j be -3 - (-101 + (0 - -2)). Suppose 0 = -2*b - b - j. Calculate the common denominator of 50/11 and b/40*10/9.
99
Let h be (-21)/(-9) + (-2)/6. What is the lowest common multiple of (-3 - (-3)/h)*(-3 + -3) and 10?
90
Suppose -5*b + 2*b - 3 = -5*y, -3*y = -9. Let z be -5 - -2 - -11 - -1. Let l = 15 - z. What is the smallest common multiple of b and l?
12
Suppose 51*g - 53*g - m = -90, 2*m + 90 = 2*g. What is the least common multiple of 50 and g?
450
Let g = 735935 + -7352039/10. Let y = 3696/5 - g. What is the common denominator of -9 and y?
10
Let d(u) = -u**3 - 6*u**2 + 4*u + 17. Let r be d(-5). Calculate the common denominator of -37/12 and 1378/r - 6/21.
12
Suppose -q - q = -q. Suppose -z - 2*a + 25 + 167 = q, z - 2*a - 172 = 0. What is the lowest common multiple of z and 18?
1638
Let l = -1114 + 2173/2. What is the common denominator of l and -37/24?
24
Let u(o) = o**2 - 5*o - 14. Calculate the smallest common multiple of 21 and u(-7).
210
Let f(a) = -225*a + 41. What is the least common multiple of f(-1) and 18?
2394
Suppose -6*d = -5*d. What is the common denominator of 21/13 and d - (-3 - 141/(-18))?
78
Let n(p) = -p**3 + 2*p**2 + 112. Calculate the smallest common multiple of n