Suppose 2*i + 5*l = 1171 - 332, 2*i - l = 869. Calculate the smallest common multiple of i and 33.
4752
Let o(p) = p**3 - 7*p**2 - 7*p - 8. Let f be o(8). Suppose 3*d - 3 = -3*y, f*y + 11 = 2*y - d. Calculate the least common multiple of 10 and y.
20
Let f(y) = -6*y**2 + y + 3. Let w be f(-3). Let t = -52 - w. What is the smallest common multiple of 1 and t?
2
Let q = 10885/25912 + -7/328. Calculate the common denominator of q and -59/18.
1422
Let f(l) = -l**2 - 5*l + 11. Let j be f(-6). Calculate the common denominator of -7/6 and (-12)/j*-1 - (-10)/(-15).
30
Suppose 2*o = 6*o - 48. Let g be (10 - 7) + -1 + 2. Suppose -7 = -3*t + y + y, -g*y = 5*t - 41. Calculate the lowest common multiple of o and t.
60
Suppose -7 = 3*y - 13. Suppose 0 = 4*h + 3*c - 25, -h - y*h - 4*c + 10 = 0. Let v = 5 + -3. What is the lowest common multiple of h and v?
10
What is the common denominator of -125/54 and (38/(-190))/(198/735)?
594
Suppose 8*o + 96 = 288. Suppose 2 = q - 10. Calculate the least common multiple of q and o.
24
Let w = -121/102 + -28/17. Calculate the common denominator of w and (-18)/(-162)*(0 - 6) + 68/156.
78
Suppose 0 = 4*p - 2*p + 64. Let w = p + 39. Calculate the least common multiple of w and 10.
70
Suppose 3*g = g + 18. Let q = g + -8. Suppose 21 = 3*j - 3*v, 3*j = -2*v - v - 9. Calculate the smallest common multiple of j and q.
2
Suppose 33*n - 80 = 29*n. What is the least common multiple of 14 and n?
140
Suppose -5*t - 4*v + 20 = 0, -4*t + 15 + 1 = -3*v. What is the common denominator of (t + 15/(-12))*14 and -89/6?
6
Let b = 14 + -20. Let d(p) be the second derivative of p**5/20 + 7*p**4/12 + p**3/2 + p**2 - 13*p. Calculate the smallest common multiple of 22 and d(b).
220
Suppose 3*l = 9, -4*m - 2853 - 12460 = 5*l. Let w = -1221/10073 - -1197163536/312263. Let y = m + w. Find the common denominator of y and 37/10.
310
Suppose 0*x - 2*x + 8 = 2*o, 0 = 2*x - 2*o + 4. Let q(a) = -a + 13. What is the lowest common multiple of q(9) and x?
4
Suppose 414*a = -5*n + 417*a + 195, a = -3*n + 131. Calculate the least common multiple of n and 45.
630
Suppose q + 1743 = 2*x, x = 5*q + 6056 + 2686. What is the least common multiple of q/(-15) - (2 - (-7)/(-5)) and 8?
232
Let h(a) = -a**3 + 15*a**2 - 15*a - 3. Let p be h(14). Let g = p + 37. What is the least common multiple of g and 20?
20
Let t = 9567/4 - 2405. Find the common denominator of -123/400 and t.
400
Suppose 0 = -3*k, y - k = 48 - 4. Suppose 47 = -17*x + 183. What is the smallest common multiple of y and x?
88
Calculate the smallest common multiple of ((-44)/(-14))/(102/1071) and 3.
33
Let o = -173/186 - -3/31. Let j = -955/6 + 4741/30. Find the common denominator of o and j.
30
Let b(o) be the third derivative of 5/24*o**4 - 1/2*o**3 + 1/60*o**5 + 0*o - 6*o**2 + 0. Calculate the least common multiple of b(-6) and 6.
6
Suppose 5*n = -4*t + 28, n - t = t. Suppose n*v + 264 = -0*v. What is the common denominator of 71/20 and (-5)/(-15) + 67/v?
220
Let s be (-8*(-2)/2)/((-6)/(-18)). Suppose -4*v - 2*u = 186, 2*u + 4 = 2. Find the common denominator of -37/2 and 10*v/s*1.
6
Let c(h) = 2*h**2 - h + 2. Calculate the lowest common multiple of 6 and c(2).
24
Let z = -84323/1670 + -6/835. Calculate the common denominator of 44/3 and z.
6
Let t = 179195555/486 - 368715. Calculate the common denominator of 41/6 and t.
486
Suppose -4*l - 8 = -3*l. Let s = -4 - l. Calculate the least common multiple of s and 4.
4
Suppose c + 5*g - 4 = 0, -2*c - 9*g + 20 = -5*g. Suppose m = -m, 0 = -2*d + 3*m + 12. Calculate the smallest common multiple of d and c.
42
Suppose -7*y + 302550 = -2*y. Let q = 3751717/62 - y. What is the common denominator of 35/6 and q?
186
Let l = 3388/195 - -19/65. What is the common denominator of l and (13/(-12) + 1)/((-58)/9628)?
6
Suppose 0 = 4*f - 2*f + 60. Calculate the common denominator of -9/5 and ((-333)/f + 3)*(-3)/9.
10
Let d be (5 - 14)*(-8)/2. Suppose v + 7 = -5*k + d, 2*v = -3*k + 23. What is the smallest common multiple of 5 + 1 - (-3 - -5) and v?
4
Calculate the common denominator of ((-1105)/(-40) + -8)/(45/4) and -86/45.
90
Let a(j) = j**3 - 2*j**2 - 2*j + 3. Let p be a(2). Let v(i) = i**2 + 16*i + 23. Calculate the least common multiple of (5 + p)*(2 - 1) and v(-15).
8
Calculate the common denominator of -37/6 and (-2 - 6) + 110534/13600.
1200
Let w = 7001741/28 - 250108. Let m = w + 480/7. What is the common denominator of -41/18 and m?
36
Let m = 9640740555/1052 - 9164204. Let l = m - -2/1315. What is the common denominator of 1477/(-1260) + (-4)/(-18) and l?
20
Let k = 24 + -19. Suppose -k + 2 = -x. Suppose -3*r - 25 = -8*r - x*w, -4*w = -4*r + 20. What is the smallest common multiple of 8 and r?
40
Suppose 0 = 5*d - 16 - 34. Let y(f) = 5*f**2 - 14 - f**3 + 15 + 2. What is the lowest common multiple of d and y(5)?
30
Let l(o) = 263*o - 1. Let p = 13 - 14. Let h be l(p). Find the common denominator of -137/6 and (-5804)/h + (-6)/(-33).
6
Let n(c) = -c**2 - 6*c - 5. Let a be n(-4). Let o(r) = 4*r**2 + 2*r - a*r**2 - 5*r + 2*r - 4. What is the least common multiple of 16 and o(4)?
16
What is the common denominator of (-38)/8*16/(-22) and 35/7 + 2 + 380/24?
66
Find the common denominator of 18/5 and 4*636/(-396)*9/(-12).
55
Let a = 5565 - 333931/60. Find the common denominator of a and 49/8.
120
Let b = -847/412 - -3/515. Find the common denominator of b and (4 - 4) + 194/56.
140
Let o = 54 + -30. Suppose -15*d = -6*d - 297. Calculate the smallest common multiple of d and o.
264
Find the common denominator of (-3)/5*1*(-95)/(-60) and 23/16.
80
Suppose -4*v + 3 + 9 = 0. Suppose 0 = 2*i + v*q - 7 - 7, 5*q - 6 = -2*i. What is the smallest common multiple of 9 and i?
117
Calculate the smallest common multiple of (-24)/14*13/6*-21 and 104.
312
Let f = 2 - -5. Let m be (-366)/f*(-105)/(-65). Let q = m - -7887/104. What is the common denominator of q and -101/2?
8
Suppose 166 = 4*x + f, -2*f + 16 = 4*x - 148. What is the lowest common multiple of 154 and x?
462
Suppose -4*g - 2*h = -h - 38, -5*h = g. Let i be 1 - ((-3 - -5) + 21). Let m = 32 + i. Calculate the smallest common multiple of g and m.
10
Suppose -2*x - 2*b + 16 = 0, 2*x + 4*b + 7 = 31. Suppose -3*p = -x*q - 27, 3*q + 59 = 5*p + q. Calculate the smallest common multiple of 6 and p.
78
Suppose -4*h + 2*u + 127 = -53, -225 = -5*h - 3*u. Suppose 2*t = t - h. Find the common denominator of (-86)/60 + 10/(-15) and t.
10
Calculate the smallest common multiple of 1995/70*(-10)/(-3) and 3.
285
Let b = -349651/71720 + 2/8965. Let q be (2696/5)/((-3)/5). Let j = q - -16205/18. Find the common denominator of b and j.
72
Let v = -10647/1016 - -45/127. Find the common denominator of v and 109/40.
40
Let v(d) = 3*d**2 - 6. Let f be v(-5). Let n = -45 + f. Suppose 0 = 2*l + l - n. What is the lowest common multiple of l and 22?
88
What is the common denominator of 103/24 and ((-44)/(-21) - -5)/6?
504
Let z be 10/(-25) + 144/10. Suppose 5*k - 59 = -z. Suppose 4*m - 11 = k. Calculate the least common multiple of m and 10.
10
Suppose -2*d + g = 3*g - 4, -g + 8 = -2*d. Calculate the smallest common multiple of 4 and 80/(-28)*14/d.
20
Let m = -167/11 - -673/132. What is the common denominator of m and 2 - -2*(-266)/96?
24
Let h = 122077/5140 + -1/2570. What is the common denominator of 0/3 - (-330)/12 and h?
4
Suppose -15*q + 130 - 655 = 0. Calculate the common denominator of 55/4 and (108/10)/((-77)/q).
44
Let p = -34558 + 2349837/68. What is the common denominator of p and (-765)/(-132) + 9/(-12)?
748
Let y = 3/664 + 25875/4648. Calculate the common denominator of y and (-29)/2 - (-3)/3.
14
Suppose 0*m + 3*m = 15. What is the common denominator of (-3)/m - (-159)/(-15) and 7?
5
Let i = -111 - -108. Calculate the common denominator of 2/(-66)*i*(-2)/(-4) and 17/12.
132
Let d be (-401067)/81*(3/10 - 0). Let k = -4483/3 - d. Find the common denominator of k and 45/4.
20
Suppose 323 = m + 4*x, 3*x + 1707 = 2*m + 3*m. Find the common denominator of -113/24 and m/18 - -1 - 1.
24
Let l = 91/9 + -10. What is the common denominator of (-40)/8 - ((-242)/30 - 2) and l?
45
Let r be (-377)/(1*(0 - -9)). Let q = -59 - -17. Let c = r - q. What is the common denominator of c and 74/3?
9
Suppose -63 = -31*k - 1. Calculate the smallest common 