k(m) = -m**2. Let n(o) = o**2 + 4. Let f(a) = -3*k(a) - n(a). What is the smallest common multiple of f(q) and 8?
56
Suppose -129*h = -133*h + 384. What is the least common multiple of 15 and h?
480
Suppose x = 240 + 463. Let m = 6316/9 - x. Calculate the common denominator of m and 45/11.
99
What is the common denominator of ((-462)/(-546))/((-4)/9) and (-59)/10*1/2?
260
Suppose -2*a + 5*a = 0. Let t = -1293 + 7775/6. Let l = a + t. Calculate the common denominator of 1/13 and l.
78
Let y be (0 + 2)*3*(-340)/(-138). Let l = -1367/46 - y. Calculate the common denominator of 71/10 and l.
10
Suppose b = 3 - 23. Find the common denominator of (1 - -2)*485/60 and 0 + -1*(-202)/b.
20
Let l(v) = -3*v**3 + v**2 - 4. Let o be l(-2). Calculate the lowest common multiple of 55 and 8 - ((-1)/(-3) - o/(-9)).
55
What is the common denominator of 7 + 1 + 5356/(-660) and -1/77?
1155
Let h(i) = 10*i**2 - 94*i - 6. What is the least common multiple of 14 and h(13)?
462
Suppose -2*s + t + 1938 - 608 = 0, 0 = 3*t + 12. Let v = 4013/6 - s. What is the common denominator of 43/11 and v?
66
Let a = -7340/11 - -572267/858. What is the common denominator of a and 53/156?
156
Suppose 0 = -a - 4*a + 55. Suppose 6*y - 105 = a*y. Calculate the common denominator of 47/18 and (y/(-96))/((-2)/(-8)).
72
Let c = 119/4 - 485/12. Calculate the common denominator of c and 1/(-5)*(-123)/(-6).
30
Let j = -615 + 3063/5. What is the common denominator of j and -11/90?
90
What is the common denominator of 103/24 and ((-852)/(-224) - -2) + -1 + -4?
168
Suppose 46 = 4*o + 38. What is the common denominator of ((-11)/99)/(o/(-58)) and (-10)/(-4)*(-146)/(-20)?
36
Suppose -6 - 3 = -3*f, -2*h = 5*f - 103. Suppose -h = -5*u + u. Calculate the least common multiple of u and 5.
55
Let r = -1082 + 1332. Calculate the smallest common multiple of r and 40.
1000
Let p(o) = 2*o - 81. Let y be p(0). Let a be 1 - (-2)/(48/y). Let d = -57/4 - a. Find the common denominator of d and -109/22.
88
Suppose 8 = 2*y - 3*u - 28, -u = -2*y + 32. Let i = 23 - y. Suppose -90 = -3*x - 0*x. What is the least common multiple of x and i?
120
Let c = -70 - -48. Let p = c - -32. Calculate the smallest common multiple of (11 - -1) + 8/(-4) and p.
10
Calculate the lowest common multiple of 15/5*-1 - (4 + -19) and 40.
120
Let t = -133/45 - -57/5. Suppose 3*c + 306 = c. Find the common denominator of t and 2*1 - c/(-21).
63
Suppose 96 - 26 = 5*b. What is the common denominator of (b/4)/((-13)/12) and -61/10?
130
Let u be 2/6 - 139*(-1612456)/(-48576). Let n = u + 50746/11. Find the common denominator of n and -79/4.
184
Let p = 2669957/378414 + -2/21023. Find the common denominator of -63/4 and p.
36
Let h(s) = s**3 - 11*s**2 - 12*s + 1. Let a be h(12). Let z = a - -5. Calculate the least common multiple of (0 - 1) + (-16)/(-4) and z.
6
What is the common denominator of (1/(-3))/(115/(-10)*3) and 119/24?
1656
Suppose -g + 3 = -4*u + 15, -u + 12 = 2*g. Suppose -2*p + 4*w = -5*p + 32, -p - u*w = -8. Calculate the lowest common multiple of 8 and p.
24
Let w = -43133 + 3925065/91. What is the common denominator of w and -43/28?
364
Suppose -7*y + 3*y = 0. Suppose t + 6 = l, l - 18 = -y*l + 5*t. Let r(z) = -2*z**3 - 7*z**2 - 8*z - 44. Calculate the lowest common multiple of l and r(-4).
12
What is the common denominator of 17/240 and (170/15 + 7)*1/7?
1680
Let v = 85 - 81. Calculate the lowest common multiple of v and 80.
80
Suppose -2*r + 4*v = -8, 0 = -3*r - 0*v + v + 17. Let k(t) = 4*t - 10. Let u = 42 - 39. Calculate the smallest common multiple of r and k(u).
6
Let g = -5075 + 147161/29. Calculate the common denominator of g and -41/7.
203
Suppose 3*n - 3 = 0, c + 3*n - 9 = -c. Suppose 19 - 16 = v. What is the lowest common multiple of c and (10/v - 2)/((-6)/(-36))?
24
Let m = -47 - -65. Suppose -3*v = 9 + 27. What is the lowest common multiple of ((-2)/(-3))/((-2)/v) and m?
36
Let t(n) = 79*n + 440. What is the least common multiple of 27 and t(-5)?
135
What is the least common multiple of 334 and 3/((-18)/15)*(-72)/18?
1670
Calculate the common denominator of (-4)/15*(-41)/4 and -83/147.
735
Let z(v) = v**3 + 3*v**2 + v + 25. Calculate the least common multiple of z(-4) and 2.
10
Let i = -3 + 3. Let d = 80 + i. Suppose -2*y = 3*y - d. What is the lowest common multiple of y and 12?
48
Find the common denominator of 98/(-10)*35/1232 and 17/9.
1584
Suppose 0 = 3*z - z - 22. What is the smallest common multiple of z and ((-5)/(-2))/((-7)/(-14))?
55
Suppose 5*x = 13 + 2. Find the common denominator of -127/24 and (-67)/(-8)*((-12)/x - -5).
24
Suppose 7*h - 167 = -4*o + 6*h, -81 = -2*o - 3*h. What is the lowest common multiple of 60 and o?
420
Let g = -386461/27 - -14315. Find the common denominator of (-61)/(-30) + -1 + 0 and g.
270
Let r(z) be the first derivative of z**4/4 + z**3 + z**2/2 + 5*z - 18. What is the smallest common multiple of 2 and r(-3)?
2
Let i(y) = -3*y + 1. Let g be i(0). What is the common denominator of ((-4)/(-6))/(14/(-413)) and -106*(g + 6/(-8))?
6
Let j(a) = 37 + 21 - 7*a - 82. What is the least common multiple of 5 and j(-4)?
20
Let x = 6854/5 + -1383. Find the common denominator of x and -73/260.
260
Let w be ((-36)/30)/(6/(-20)). Find the common denominator of (-14)/4*(w + 365/(-35)) and -31/10.
10
Let t(b) = -b**2 + b - 14. Let k be t(-5). Let z = 62 + k. Calculate the least common multiple of 116 and z.
1044
Let g be (5350/1065 - 5)/((-1)/(-3)). Let b = -472/355 - g. What is the common denominator of b and 76/15?
15
Find the common denominator of -2 + (100/(-72) - -5) and 11561/(-990) - 2/9.
90
Let g = -38 - -58. Let c = -582403/60780 - 6/5065. Find the common denominator of c and 8/g - (-1 - 2/(-20)).
60
Let f = 13 - -5. What is the least common multiple of f and 186/(-93) - (0 - 26)?
72
Calculate the common denominator of 53/28 and ((-246)/(-56))/((-9)/(-6)).
28
Suppose -12*b = -8*b - 8. What is the smallest common multiple of b and (45/(-20))/((-2)/8)?
18
Let z = -365135/14322 - -790/31. Calculate the common denominator of z and -101/6.
462
Let z(m) = 2*m**3 - 3*m**2 + 5*m - 4. Let a be z(2). Let u(j) = j - 4*j - 10 + 2*j + 3*j. Calculate the least common multiple of 34 and u(a).
170
Let o = 6/147797 + 5465976379/1773564. Let u = 3076 - o. Let j = 11145 - 133841/12. What is the common denominator of j and u?
12
Calculate the lowest common multiple of 8 and (-8)/(-18) - (-104704)/288.
728
Let g = -66 - -98. Calculate the least common multiple of 52 and g.
416
Suppose 2*x - 14 = -0*x. Let m be (-6)/2*2/3. What is the lowest common multiple of x and m + (-54)/(-10) + (-2)/5?
21
Let r = -29 + 35. Suppose -2*j = -j - 2*k - 110, 0 = -5*j - k + 572. What is the least common multiple of r and j?
114
Let y(z) = -9*z**2 - 5*z + 5. Let q(v) = -5*v**2 - 3*v + 2. Let j(a) = 7*q(a) - 4*y(a). Let f be j(0). Calculate the common denominator of 3*8/f*2 and -47/4.
4
Let s = 432 - 417. Calculate the smallest common multiple of s and 60.
60
What is the common denominator of 12/78 - (-2)/117*82 and -49/3?
9
Find the common denominator of -69/175 and 2/(-5) - (-567)/(-15750).
1750
Let l = 224 + -174. Calculate the lowest common multiple of l and 35.
350
Suppose 7*o - 60 = 2*o. Suppose -b + o = 3*a, -96 = -7*b + 3*b + 4*a. Calculate the lowest common multiple of b and 30.
210
Let q be (-8 + 56)*(-2)/(-4). Let p = -18 + q. Suppose 5*o = 6*o - 16. Calculate the lowest common multiple of p and o.
48
Let t = 6350/11 + -265193/462. Calculate the common denominator of 37/33 and t.
462
Suppose 54 = 5*d - 2*d. Let v be (-2 - 0)/(7/(-161)). Suppose 4*r - v = -2*o, -o + 4*o - 19 = -r. Calculate the lowest common multiple of r and d.
90
Let p = 62916647/39564 + -6361/4. Let o be (-734)/3768*(-3261)/126. Let u = p - o. Calculate the common denominator of -23/22 and u.
264
Let i = 23 + -116/5. Find the common denominator of -13/11 and i.
55
Let g(t) = t**2 + 7*t - 196. Let b(v) = v**3 + v**2 - v - 1. What is the smallest common multiple of g(11) and b(2)?
18
Let l = -13092 + 274984/21. Find the common denominator of ((-36)/63)/(2/(-5)*-3) and l.
21
What is the smallest common multiple of (-2116)/(-6) + ((-168)/(-9))/(-28) and 44?
352
Let m = -2132 + 10608/5. Calculate the common denominator of m and -49/138.
690
Let u(