r = -116293/45 + 2585. Let o = 8173 + -163439/20. What is the common denominator of o and r?
180
Suppose -2*g - 386 - 70 = -3*u, -g - 228 = 2*u. Calculate the common denominator of g/(-64) + 0 + 1 and 85/18.
144
Suppose -3*t + 111 = -204. What is the smallest common multiple of t and 111?
3885
Suppose 9*i + 2 = 7*i. Calculate the least common multiple of (-1 + 0)*(-3 - i) and 4.
4
Let s = -161 + 1885/12. Suppose -2*y + 0 = 4*x + 2, -3*x - 6 = y. What is the common denominator of s and (-2)/y + -3*1/(-378)?
84
Suppose -9*y + 38 - 182 = 0. Find the common denominator of -71/8 and 60/y*(2 + 24/15).
8
Let c = -335/7 + 634/21. Let w be 34616/(-234960) + (-2)/5. Let n = 1/534 + w. Find the common denominator of n and c.
33
Let x = 1300 + -19588/15. Find the common denominator of -24/25 and x.
75
Let t = 4144233283/210 + -19733650. Let n = t + -5527/7. Find the common denominator of n and 67/27.
270
Let j = -6 + 4. What is the common denominator of (-217)/(-10) + j/10 and (5/20)/((-5)/(-970))?
2
Let y be 58/36 - (0 + 1). Let x = 6337/234 + -5/26. Let v = y + x. What is the common denominator of v and 101/10?
10
What is the common denominator of ((-12)/(-14))/6 - 15521/12852 and 127/108?
108
Suppose -5*a = -5*t - 4*a + 166, 0 = -4*a - 4. What is the lowest common multiple of 9 and t?
99
Suppose 9*s = 6*s. Suppose s = -6*u + 454 + 722. What is the common denominator of -45 and (-1)/(-3 + 620/u)?
8
Suppose -4270 - 698 = -9*m. What is the least common multiple of m and 7?
3864
Suppose -2*m + a = -37, -2*m + 11*a + 39 = 8*a. What is the lowest common multiple of 238 and m?
2142
Suppose -6*b + 10*b - 44 = 0. Let l = -5 + 8. Suppose -s = 5, -4*k - s + 18 = -l*s. Calculate the smallest common multiple of k and b.
22
Let b(p) = -p**3 - 5*p**2 + 10*p - 2. Let n be b(-8). Let z be (4396/(-8) + -1)/(-6). Let k = z - n. Find the common denominator of k and 59/3.
12
Let p = 105 + -102. Calculate the least common multiple of p and 25.
75
Suppose -5*y + 1596 = -t, -77*y = -81*y + t + 1276. What is the smallest common multiple of y and 6?
960
Let w be ((-140)/(-24))/(9/30). Let y = w - 2371/90. Let l = -47/13 - -596/39. Find the common denominator of l and y.
30
Let m = 25 - 19. Let y(a) = 8 - 18 - m*a + 7. What is the least common multiple of 1 and y(-3)?
15
Let z(a) = 4*a**3 + 2*a**2 - 5*a + 6. Let c(m) = 7*m**3 + 3*m**2 - 9*m + 13. Let l(d) = 3*c(d) - 5*z(d). Calculate the smallest common multiple of l(0) and 39.
117
Let o(y) = 2*y**2 - 9*y + 15. What is the lowest common multiple of 72 and o(5)?
360
Let u be 326/920 + 2/(-5). Let a = 16/23 + u. Let f = 1/2831 + -87779/50958. Find the common denominator of a and f.
180
Suppose -2*b + b = -8971. Suppose -x + 2259 = -3*m, -4*x + b = -0*m + m. Let s = 15765/7 - x. Find the common denominator of 121/6 and s.
42
Let o = -10/811 - -3312/137059. Let s = -634/3549 - o. Calculate the common denominator of 13/33 and s.
231
Let r(c) = -8*c**2 - 14 - c**3 - 2*c - 2*c**2 + 10. Calculate the smallest common multiple of r(-10) and 3 + -1 + -2 + 14.
112
Suppose -83*b = -694 - 2045. Suppose -t + 4*t = 63. What is the least common multiple of b and t?
231
Let z = -27095/8 + 3391. Find the common denominator of 53/208 and z.
208
Let o be (-1 - 2) + -2 + -4. Calculate the common denominator of (-168)/o - (-5)/(-10) and 111/10.
30
Let o = 4587 - 45801/10. What is the common denominator of -89/58 and o?
290
Let p = 152933/45542 + -3/3253. Find the common denominator of ((-1)/(-10) - 0)*-12 and p.
70
Let z = -12669 + 202617/16. Find the common denominator of 123/(-66)*(5 - 3) and z.
176
Let q be (-3 - -2) + 36/1. Suppose -q = -3*u - 29. What is the smallest common multiple of 34 and u?
34
Let w = 34 - 14. Let g(h) = 10*h + 11 + 4*h - 13*h. What is the least common multiple of w and g(5)?
80
Let z = -398 + 406. What is the least common multiple of z and 140?
280
Let j = -10/253 - 3655/3542. Let w be ((-15)/10)/((-2)/160). What is the common denominator of (-2)/10 + 179/w and j?
168
Suppose 4*y + 3*k = 1713, 13*y - 8*k - 1254 = 10*y. What is the smallest common multiple of y and 12?
852
What is the lowest common multiple of (-31)/(-1) + -3 + 4 and (-4)/(-66) + (-3552)/(-198)?
288
Let a = 32585 - 7168229/220. Let h be (-6)/110*(-16)/(-3). Let r = h + a. Calculate the common denominator of r and -121/18.
180
Let t = -175045/10148 - 2/2537. Let o be ((-4)/(-6))/(84/22689). Let m = 177 - o. Find the common denominator of t and m.
28
Suppose 62*t = 67*t - 10. What is the smallest common multiple of (-1)/t - (11557/14)/(-13) and 15?
315
Let z(b) = 4*b**2 - b - 1. Let m be z(-1). Suppose 5*c - 36 = m. Calculate the least common multiple of 9 and 5 + -6 - -1*c.
63
Calculate the smallest common multiple of (8 + (-261 - 6))/(-1) and 10.
2590
Let h be (-4)/26 - 492/(-156). Suppose -2 = 3*z - h*j - 5, -4*j = -20. Calculate the least common multiple of 7 and z.
42
Let l be (32 - -3)/(-5)*(3 + -1). What is the smallest common multiple of 6*-1*2/(-2) and (4 - 5)/(2/l)?
42
Let b be ((-40)/28 + 1)*-295. Let j = b - 15755/126. Find the common denominator of j and -41/15.
90
Let s = 100 - 98. Calculate the common denominator of 93/16 and ((-5)/75)/(s*(-6)/(-153)).
80
Let l(h) = -15*h - 22. Let c be l(-2). Calculate the common denominator of (1/c)/(-4 + 216/56) and 81/16.
16
Suppose -6*t + 2*t + 2*r - 6020 = 0, 3*r + 3018 = -2*t. Let q be (1*7)/(3/t). Let o = 77295/22 + q. Calculate the common denominator of 67/10 and o.
110
Suppose 5*w - 5*q + 10*q = -5, -3*q = 4*w + 3. Suppose w = -2*l - 3*l. Suppose l*x = -2*x + 8. What is the smallest common multiple of x and 6?
12
Let j(x) = x**2 + 13*x - 188. What is the smallest common multiple of j(9) and 30?
30
Let f be 9*((120/9)/4 - 3). What is the lowest common multiple of 40 and -3*f/18*-4?
40
Let b = 1771 + -19466/11. Calculate the common denominator of (-3)/22*-15*1 and b.
22
What is the common denominator of (-3)/(-9) - 167/48 and (130/(-39) - -3)/((-4)/(-142))?
48
Let z be (-6)/(-4)*1*12. Let b = z - 10. Calculate the lowest common multiple of ((-6)/8 + -3)*(-240)/50 and b.
72
Suppose 79 = 3*m + 13. Calculate the common denominator of 656/123 - (m/18 - 1) and -103/6.
18
Let h(k) = k**2 + k + 1. What is the smallest common multiple of h(4) and 1 + 12 - (-1 + -5 + 4)?
105
Let i = 58497 + -5966765/102. What is the common denominator of i and -173/30?
510
Suppose 22 = -7*n + 57. Suppose h = 5*p + 13, 0 = 2*h - n*h + 4*p + 17. Calculate the smallest common multiple of h and 7.
21
Let h = 73 + -4. Find the common denominator of (-2)/(-6) - 142/18 and h/(-2) - (-4 + 2).
18
Let x = -354 + 374. What is the least common multiple of x and 8?
40
Suppose -9*p + 507 = 327. What is the smallest common multiple of 325 and p?
1300
Let r = 107858 + -35593187/330. Find the common denominator of -39/385 and r.
2310
Let g = -1607 - -1651. What is the smallest common multiple of g and 80?
880
What is the least common multiple of 160 and ((-2 - -9) + -1)*(-36 - -44)?
480
Let f be (0 - 1) + (-21)/(-7). Let q be (7 - 0)*-1*f. What is the least common multiple of 12 and (1 + -11)/(7/q)?
60
Let r = -71 - -86. Suppose k = -r + 16. Calculate the least common multiple of 1 and k.
1
Let s = 2001624821885/3879 - 516015676. Let c = 3/431 - s. What is the common denominator of c and 69/8?
72
Find the common denominator of 292/(-36) + (-54)/(-9) and -89/30.
90
Let y(p) = p**3 - 12*p**2 + 10*p + 13. Let z be y(11). Calculate the common denominator of 1 + 0 - 141/42 and z/(-9)*(-318)/(-8).
42
Let g = 127 - 6097/48. What is the common denominator of (-1209)/(-54) - (-8)/(-36) and g?
48
Calculate the smallest common multiple of 9 and 42 + -3 + (1 - 0)*-1.
342
Let o = -71 + -60. Let m = -91 - o. Calculate the least common multiple of -9*(-1)/18*28 and m.
280
Suppose -3*n = -o - 3, 0*n + 3*o - 1 = 4*n. Suppose -32 = -4*b + z, -8*z + 12*z = n*b - 16. Calculate the smallest common multiple of b and 4.
8
Suppose 6 = 2*v, -3*n + 213 + 81 = -2*v. Suppose -4*q + n = -2*q. Suppose 2*m - 4*m = -q. What is the smallest common multiple of 10 and m?
50
Let g(a) = 86*a - 38. What is the smallest common multiple of g(1) and 80?
240
Let y = -2 + 2. Let b be 12 - y/(1 + -2). Find the common denominator of 83/2 and (-291)/b + -3 + 3.
4
Let n = 661 - 277. What