and m?
126
Let k(n) = 4*n**3 - 4*n**2 + 9*n. Let b be k(3). Suppose -f = 5*m - b, -4 = -4*f + 8*f. Calculate the smallest common multiple of -2 - (-2 + 26)/(-1) and m.
220
Suppose 15*a = 12*a - 330. Let t = -52 - a. Calculate the smallest common multiple of 8 and t.
232
Find the common denominator of -3 - (-10)/3 - (-130)/12 and 29/24.
24
Let h = 96203/8104 + 4/1013. Find the common denominator of h and -21/142.
568
Suppose -7*i = 18 - 123. Suppose w - 36 = -2*z + 21, -3*w + i = 0. What is the lowest common multiple of 10 and z?
130
Let i = -5510 + 33145/6. What is the common denominator of ((-10)/(-8))/((-6)/(-56)) and i?
6
Suppose -t = 8 - 4. Let c be 18/(-12) + (-86)/t. Let p = c - 9. What is the smallest common multiple of 9 and p?
99
Let y(u) = -2*u - 25. Let b be y(-13). Find the common denominator of -69/196 and b/7 - (-2763)/1386.
2156
Let q = -9376507/96 + 97671. What is the common denominator of -63/124 and q?
2976
Calculate the common denominator of ((-108)/(-336))/(12/(-14)) and (-340)/(-36) + 3 - 5.
72
What is the least common multiple of 4 and 458/23 - 10/(-805)*7?
20
Let y(p) = -p**3 + 10*p**2 - 7*p - 17. Let k be y(9). What is the common denominator of (-444)/120 + (k - 4) and 4/10 - (-208)/(-220)?
110
Let o be -6 + 1 + 2 + -1. Find the common denominator of o/5*-14 - -1 and ((-246)/(-16))/(6/4).
20
Let l be (2*(-12)/8)/(-1). Suppose -4*h + 24 = l*o, 3*h - 40 = -4*o - o. Let j(k) = 4*k**2 + k - 3. What is the least common multiple of j(-2) and o?
88
Let j(v) = v - 5. Let u = -12 + 15. Suppose -u*y + 6*y = 15. What is the least common multiple of j(10) and y?
5
Suppose 6*y + 27352 = 58*y. Calculate the smallest common multiple of 10 and y.
2630
Let x(b) = 2*b**2 - 11*b - 229. What is the least common multiple of x(-10) and 108?
324
Let p(j) = -2*j**2 + 8*j - 4. Let z be p(5). Let g(q) = 4*q**2 - 9*q - 37. Let m be g(22). What is the common denominator of ((-1)/12)/(z/m) and 113/6?
24
Let r(m) = m + 1. Let g be r(1). Let j be (9/(-6))/((-1)/g). Suppose b - 3*h + 8*h = 18, -j*h = -b + 18. What is the lowest common multiple of b and 16?
144
Suppose 2*d - 61 - 71 = 0. Suppose 5*l = 2*l + d. Let i(y) = 24*y**2 - 3*y + 1. What is the least common multiple of i(1) and l?
22
Let o = -28/27 + 1814/135. Let x = -10 + 14. Suppose -x*r + 90 = -r. Calculate the common denominator of r and o.
5
Find the common denominator of (-2)/(-10) + (-376)/180 and ((-30)/140)/(12/(-152)).
63
Suppose -6*u - 10124 = 4186. Let l = -14231/6 - u. Find the common denominator of l and 79/6.
6
Suppose -2*j = k + k, 0 = 3*j + k. Let p be 4/(2/5 - j). Suppose -p = -b - 1. Calculate the lowest common multiple of b and 10.
90
Let i be 825*(8 + 0 + -3). Suppose i = -4*p + 4*l + 285, 0 = -5*p + 3*l - 4800. Let r = p + 1833/2. Calculate the common denominator of r and -71/10.
10
Let u = 10 + 16. Find the common denominator of 43/14 and -12 + 12 + 25/u.
182
Let r = 4957/30 + -81061/15. Let f = r + 5257. Let a = -494/21 + 1174/63. What is the common denominator of a and f?
18
Let r(a) = a**2 - 2*a - 3. Let l be r(2). Suppose y - m - 9 = 6*y, -3*y = 3*m + 15. What is the lowest common multiple of (y - 2/l)*-15 and 4?
20
Let h = 3/2255 - -164561/40590. Let a = -10731/226 - 2/113. What is the common denominator of a and h?
18
Let i(r) = -10*r**3 - 16*r**2 + r + 6. Calculate the smallest common multiple of 260 and i(-2).
260
Let c = -10356/5 - -558979/270. What is the common denominator of c and 70/99?
594
Suppose -3 - 5 = -4*z. Suppose 10 = 4*u + z. What is the least common multiple of u and 10?
10
Suppose -4*t + 3*o = 8*o - 55, 0 = 3*o + 3. Calculate the lowest common multiple of 3 and t.
15
What is the common denominator of -137/252 and 130/144*(-98)/441?
2268
Let v = 28629/10 + -2868. Let s be (-4579)/(-770) + 5/(-13 + 3). Let i = s + 54/55. Find the common denominator of i and v.
70
Suppose 8 = 3*c - c. Let j be (-2)/8 - (-1)/c. Suppose -4*w + j*r + 3 = 3*r, -3 = -2*w - r. Calculate the lowest common multiple of 2 and w.
6
Let h(d) = -d**3 - 6*d**2 - 6*d + 8. Suppose -19*q = 367 - 633. Calculate the least common multiple of q and h(-6).
308
Let g = 171 + -108. Calculate the common denominator of 6/(-16)*2492/g and (294/180)/(1/(-3)).
30
Let l be ((-4)/10)/((-14)/(-1330)). Let j = 17 + l. Calculate the common denominator of (-3)/j*(4 + -23) and 32.
7
Suppose 4*u = j + 55, u - 9 = 2*j + 3. Let p = 7 - 4. Suppose p*b - b = x - 18, -2*b = 0. Calculate the lowest common multiple of x and u.
126
Let h = -2276863/9 - -251369. Let x = 3239/2 + h. Calculate the common denominator of 43/24 and x.
72
Suppose -5*t = 2 - 17. Let o(k) = 1 + t*k - 8 + 1. Calculate the least common multiple of o(4) and 7.
42
Calculate the common denominator of -107/36 and -6*(-7)/42 + 97/(-28).
252
Let o(y) = y**2 + 16*y + 23. Suppose -5*b = 3*z - 20, -3*z - 3*b = -0*b - 24. Calculate the smallest common multiple of o(-15) and z.
40
Let h = 2534 + -2094. What is the least common multiple of 88 and h?
440
Let x(a) = a - 1. Let r(t) = t**2 + 3*t + 1. Let z be r(2). Calculate the lowest common multiple of x(z) and 4.
20
Let d be -3 - 29690/(-156) - 14/91. Let b = -741/4 + d. Find the common denominator of 119/18 and b.
36
Calculate the lowest common multiple of 12 and (-180)/(-105)*5*98.
840
What is the common denominator of -1/34 and (-92)/48 - ((-2 - -1) + -3)?
204
Suppose 3*u = 15, -3*u = r - 33 + 549. Find the common denominator of -38/9 and (-1)/(-2)*r/(-72).
144
Calculate the lowest common multiple of -10 + (289 - -5 - 9) and 150.
1650
Find the common denominator of -3/40 and (-220)/330 - (-1 + (-122)/(-60)).
40
Let i(v) = v**2 + 3*v - 1. Let p(l) = l**3 - 3*l**2 + l - 7. Let q be p(3). Let c(s) = -5*s - 11. What is the smallest common multiple of c(q) and i(2)?
9
Suppose 3*v + 7 = 4*l, 2*v - l - l + 8 = 0. Calculate the lowest common multiple of 30 and 3/(-3) - (-4 + v).
60
Suppose 8*t - 3*t - 120 = 0. Let f = -310 - -180. Let h = f - -138. What is the lowest common multiple of t and h?
24
Let m = -1300 - -233981/180. Find the common denominator of m and 5/12.
180
Suppose -3*b + 38 = -4*d, 18 = -7*b + 9*b + d. Let v = -8 - -18. Calculate the least common multiple of b and v.
10
Let o = 1045/2 + -498. Calculate the common denominator of o and 127/102.
102
Let f = -240731/66990 - -8/3045. Let k = f + 40/11. What is the common denominator of k and -3 - (2590/(-36))/7?
198
Let s be (-2 + -2 - -4)*-1. What is the lowest common multiple of 5 - (s - (-5)/5) and 1?
4
Let g = 4/859 + -13021/29206. Find the common denominator of 85/2 and g.
34
Let r(g) = -g**2 + 29*g - 117. Suppose 0 = 3*q + 3*z - 6, -q + 1 = -4*z - 6. What is the least common multiple of q and r(5)?
3
Suppose 22 = 2*t - 44. What is the smallest common multiple of t and ((-66)/9)/(10/(-45))?
33
Suppose 123 - 51 = 6*z. Calculate the smallest common multiple of z and 28.
84
Let o = 83 + -125. Let j = -421/10 - o. Let q = -12803/6066 + -1/2022. Calculate the common denominator of j and q.
90
Let a = -3395 + 5858. Find the common denominator of 2/11 - a/(-66) and -19/5.
10
Let g be 8206/60 + 0 + (-40)/(-100). Let n = -458/3 + g. Find the common denominator of n and -131/6.
6
Let h be 97629/4158 - (-2)/(-9). Let l = h - 145/6. Calculate the common denominator of l and 1.
11
Suppose 0 = 2*p - 7*l - 52, -16 = 4*l - 0*l. What is the lowest common multiple of 46 and p?
276
Suppose g - u = -2*g + 9, 0 = -2*g - 3*u + 17. What is the smallest common multiple of g and -28*(-3 + (-19)/(-7))?
8
Let h = -484339 + 7746845/16. Let t = 163 + h. What is the common denominator of t and 87/8?
16
Let b = 12708 - 4803. Let s = 110717/14 - b. Calculate the common denominator of 39/14 and s.
14
Let d = -16969/5856 + 170/183. What is the common denominator of 91/40 and d?
160
Suppose g - 5*g = -4*x - 4, 5*x - 4*g = -1. Suppose 1130*q - 1138*q = -88. Calculate the least common multiple of q and x.
33
Let x = 1361/34 + -40. Calculate the common denominator of x and -36 + 43 - 87/(-24).
136
Suppose 4*x + 2*f - 76 = 0, 0*f - 4*f = -4*x + 64. What is the common denominator of ((-243)/x)/((-10)/4) and 11/34?
170
Suppose 46 = -15*x + 1366. Calculate the smallest common multiple of x and 48.
528
Let y be 1 - 0 - (-3 - -12)/(-1). Suppose 54*z - 56*z = -y. Calculate the sm