2
Suppose -5*z = 3*o - 5 - 13, 0 = 2*o + 5*z - 12. Calculate the least common multiple of 9 and o.
18
Let g = 3748 - 82479/22. Calculate the common denominator of 147/420 + (-2)/(-10) and g.
220
Suppose 3*a + 1 - 82 = 0. Let h be ((-8)/(-3))/((-9)/a). What is the least common multiple of ((-20)/(-16))/((-1)/h) and 2?
10
Let d be 6/(-12) - (-2)/((-8)/2338). What is the common denominator of (d/300)/((-6)/(-5)) and 25/6?
24
Suppose 0 = 80*c - 103*c + 690. What is the lowest common multiple of c and 24?
120
Let f be ((-4)/8)/((-3)/(-12)). What is the common denominator of 2 + (-174)/(-168) + f and 83/36?
252
Suppose 10*z = 11*z + 5*o - 2178, 5*o + 8712 = 4*z. What is the least common multiple of 6 and z?
2178
Find the common denominator of (61/(-40))/((-2)/(-4)) and 17 + -13 - (-3448)/(-928).
580
Suppose 0 = i + 4*u + 12, -5*i - 6*u = -3*u + 94. Let a = i - -24. Let r = 16 + -10. Calculate the lowest common multiple of r and a.
12
What is the lowest common multiple of 1400/210*(-30)/(-4) and 70?
350
Suppose 8*y - 16 = 6*y. Let x(r) = -r**3 + 5*r**2 - 3*r. Let n be x(y). What is the least common multiple of 2 and ((-4)/(-6))/((-6)/n)?
24
Calculate the common denominator of 3/8 and ((-34)/792)/(127/(-2667)).
264
Calculate the common denominator of 19/4 and (-39)/11 + (9 - 45/6).
44
Let z = 1 - -5. Suppose y = 2*m + 19, z = -5*m + 2*m. Suppose y = 2*w + 1. What is the least common multiple of 1 and w?
7
Let k = -9 + 13. Suppose 4*b = -k*a, 4*a - 6*a + b = -3. Let f = 2 + 1. Calculate the lowest common multiple of f and a.
3
What is the common denominator of 97/56 and (-496)/(-620) - 108/(-10)?
280
Let v be (-68596)/(-16) + (-1 - -2). Let w = v + -4263. What is the common denominator of w and 91/22?
44
Let h(g) = -46*g**3 + 10*g**2 + 6*g - 7. Let l be h(-6). Let o be 1*2 + (l - 14). Let q = -122791/12 + o. Find the common denominator of q and -67/8.
24
Let h = -48225/8 - -6018. What is the common denominator of h and 7/20?
40
Let n(j) = -135*j**3 + 2*j**2 + 10*j + 9. Calculate the smallest common multiple of 18 and n(-1).
1224
Suppose 9 = -3*m + 4*m. What is the lowest common multiple of -5 + (19 - 10) + 0 and m?
36
Let w = -77 - -74. Calculate the common denominator of -35/3 and ((-3)/(-45))/(w*55/2160).
165
Let g = -46523/10 + 4646. Let v be ((-1)/36)/(2/(-114772)). Let r = -1595 + v. What is the common denominator of r and g?
90
Suppose -2*s + 24 - 4 = 0. Suppose 10 + 20 = s*m. Suppose 4*q + x = 33, 2*q - 4 - 20 = 2*x. Calculate the lowest common multiple of q and m.
9
Let d = 7 + -27. Let w be -5*(-2 + (-152)/d). What is the common denominator of 59/2 and ((-54)/192)/((-1)/w)?
8
Let i be (-8)/(-24) + 3/(-9). What is the common denominator of 2/(-3 + 137/67 + i) and 79/10?
160
Suppose -116 = -7*v - 32. Find the common denominator of v/27*-3*(-186)/32 and -9/16.
16
Let a = 323 + -213. Calculate the least common multiple of a and 60.
660
Let j be (735/(-190))/((-3)/6). Let q = j + -3111/380. What is the common denominator of q and -35/12?
60
Let t = -506 + 524. Calculate the smallest common multiple of t and 9.
18
Let j = 79/12 + 73/4. Calculate the common denominator of j and 3/6 + -1 - 31/(-4).
12
Let r be -1*(-3)/(2 + -5). Let m = -3 - -23. What is the lowest common multiple of r - 4/(20/(-15)) and m?
20
Let i = -172 - -177. What is the least common multiple of 271 and i?
1355
Suppose -o = 3*d - 0*o - 8, -3*o - 28 = -4*d. Let l(k) = -15*k - 5 + 3*k + d*k - k**2. Calculate the lowest common multiple of 9 and l(-4).
99
Let y = -2954967/74 + 39933. Calculate the common denominator of 19*18/(-24)*(-14)/63 and y.
222
Let h = 116 - 107. Suppose -3*q = o + 2*o - 15, -3*o - 4*q + 13 = 0. Calculate the lowest common multiple of h and o.
63
Suppose -4*s - 8 = -28, -4*s = -u + 114. Calculate the least common multiple of 14 and u.
938
Suppose 1087 = t + 1086. What is the lowest common multiple of 74 and t?
74
Suppose -88*k + 48*k + 3200 = 0. Calculate the lowest common multiple of k and 60.
240
Let h(k) = 4*k - 6*k - 2*k. Let b be h(-2). Find the common denominator of (2/(-6))/(b/14) and 107/10.
60
Let h = 3/811 - 26087/36495. Find the common denominator of h and 39/20.
180
Let j = -18929/2 - -5300207/560. What is the common denominator of -21/10 and j?
560
Let i(s) = -11*s**3 - 5*s**2 - 14*s - 18. Let a(z) = -5*z**3 - 3*z**2 - 7*z - 9. Let r(g) = -9*a(g) + 4*i(g). What is the lowest common multiple of r(-6) and 2?
6
Suppose 0 = -3*g - 3*c + 72, 21 = 4*g - 5*c - 102. Calculate the least common multiple of g and 27.
27
Let u = 20396 - 9851252/483. Find the common denominator of u and 23/5.
2415
Suppose w - 4 = -2. Suppose 37 = m - 2*h, -5*m + 142 = -m - 2*h. Suppose -c - w*c + m = t, -5*t + 80 = -4*c. Calculate the lowest common multiple of t and 12.
60
Let f be 15/30 + (-2398)/4812. Let n = -11737281102902/8421 + 1393810844. Let x = f + n. What is the common denominator of x and 6/11?
77
Let h = -323/4 + 2933/36. Let a = 7/141 + 4781/3102. Find the common denominator of h and a.
198
Let t be 6 - (-8*(-4)/8 - 6). Suppose 0 = t*c - 63 - 97. What is the smallest common multiple of (-10)/(-2)*1*2 and c?
20
What is the common denominator of 2193/306 + (0 - (1 - 5)) and ((-6)/(-4))/((-30)/(-16))?
30
Suppose -8*c - 99 = -379. Calculate the least common multiple of c and 6.
210
Suppose 2*j - 5*h - 2177 = 0, 3*j + 2*h + 1904 - 5122 = 0. Let d = j - 11826/11. Let a = -1214 - -3577/3. What is the common denominator of a and d?
33
Let l(f) = 2*f**2 - 7. Let w(i) = -3*i**2 - i + 8. Let z(o) = -5*l(o) - 4*w(o). Let b = 15 - 17. What is the smallest common multiple of z(b) and 3?
3
Suppose 4555 = -8*k + 11067. Let u = 3223/4 - k. Let i = 15191/6 + -2518. Find the common denominator of u and i.
12
Let w = -1080 - -1096. Let p(m) = m**3 - 13*m**2 + 17*m - 10. What is the least common multiple of p(12) and w?
400
Suppose 0 = 4*i - 5*i - 5*b, 0 = -i - 2*b. Suppose i*m = 2*m - 10, 0 = q + 3*m - 20. Calculate the least common multiple of q and 8.
40
Let k(i) = i**2 + i - 10. Let c be (-30)/15 + -1 + -2. What is the lowest common multiple of 10 and k(c)?
10
Find the common denominator of 1 - ((-60)/13)/3 and 15/(-21) - (-842)/140.
130
Let m(c) = -c**2 - 5*c - 3. What is the lowest common multiple of 1/((-9)/36) - -11*2 and m(-4)?
18
Let f(l) = l - 1. Let z(h) = -h**2 - 3*h + 12. Let t(x) = -2*f(x) + z(x). Let m be t(4). What is the least common multiple of 3 and 36/17 - m/(-187)?
6
Suppose 14 + 16 = 5*o. Suppose -s - 2 = -3. Calculate the lowest common multiple of s and o.
6
Let f = -24 - -17. Let m(u) = 9*u**2 - 3*u**3 + 3*u - 2 + 2*u - u**2 + 4*u**3. Calculate the smallest common multiple of m(f) and 10.
60
Let q(k) = -7*k**3 - 3*k + 2. Let w be q(2). What is the smallest common multiple of (200/w)/(1/(-6)) and 30?
60
Let a = 1 - -29. Let y = -529 - -532. What is the lowest common multiple of y and a?
30
Suppose -y + 4*r = 35, 4 = 2*r - r. Let x = y + 9. Calculate the common denominator of (1 + 58)*(-2)/x and 125/12.
60
Suppose 0 = 4*x + 50 - 22. Let w = 8 - x. What is the lowest common multiple of 9 and w?
45
Let i(t) = 42*t**3 + 2*t**2 - 1. What is the least common multiple of i(1) and 6?
258
Suppose -3*q + 114 = -5*t - 252, -t + 114 = q. Calculate the smallest common multiple of 143 and q.
1287
Let h(g) = 2*g**3 - 15*g**2 - 4*g - 10. Calculate the lowest common multiple of h(8) and 6.
66
Let c = -14 + 16. Find the common denominator of c - (3 + (-17)/(-16)) and -91/4.
16
What is the least common multiple of 60 and (2/(-4))/((-10)/700)?
420
Let j be (-8644)/(-10)*2/4. Let n(o) = -214*o - 14. Let a be n(2). Let b = j + a. Calculate the common denominator of 32/9 and b.
45
Let i be (-19)/(-7) - 10/(-35). Find the common denominator of (i + 0)/(-12) + 24/(-9) and 26/3.
12
Suppose 182 = 5*i - 58. Suppose 3*z = 3*j - z - 32, 4*j = 4*z + i. What is the lowest common multiple of j and (-2 - -1) + (7 - 0)?
48
Let r(d) = -d**2 - 3*d - 8. Let p(h) = -h**2 - 7. Let q be p(0). Let x be r(q). What is the common denominator of (3861/x)/((-9)/(-2)) and -30/7?
42
Let t be (0 + 6/(-5))/211. Let x = t + 131911/6330. Calculate the common denominator of x and -13/12.
12
Calculate the common denominator of (12/(-28))/(3/52) and (4*(-2)/184)/((-1)/(-13)).
161
Suppose -4*l + 4*p + 1131 = 95703