 Let q = h + 174/65. Find the common denominator of -59/20 and q.
20
Suppose -3*z + 3 = -0*z. What is the common denominator of (-5)/3*(-814)/(-55) and (z - 0)/(5*24/2060)?
6
Suppose 5*u = r - 33 - 67, 5*u + 100 = -3*r. What is the lowest common multiple of (-11)/(5/u*1) and 20?
220
Let z = 3260 + -13119/4. Let n = 3248/3 - 26257/24. Calculate the common denominator of z and n.
8
Suppose 5*y - 5*c - 345 = 0, 3*y + 21 = 2*c + 229. Calculate the least common multiple of (-40)/(-6)*84/y and 18.
72
Let x(a) = -a**2 - 9*a - 2. Let k be (3 + -4 - 3)*2. What is the smallest common multiple of x(k) and 9?
18
Let r be (-11)/5 + (-12)/15. Calculate the common denominator of -99/2 and (2/(-64) - 0)/(r/(-366)).
16
Suppose -16*b + 18*b - 204 = 4*z, b - z = 101. What is the least common multiple of b and 30?
300
Let z = -14590 - -174935/12. Calculate the common denominator of 85/6 and z.
12
Suppose 3*y = -3*t + 21, 5*t = 6*t - 5*y + 23. Suppose -u - t = 0, d + 14 = -3*d + u. What is the common denominator of d and (198/(-4))/(-1) + 1?
2
Suppose -d + 3 = -2. Suppose -56 = -i - 5*o, d*i + 21 = o + 171. Suppose -7 = 4*r - i. What is the lowest common multiple of 7 and r?
42
Suppose -3*a - 6*a = -54. Suppose 11 = 4*q + 3*n, 5*q - a = n + 3*n. Calculate the lowest common multiple of q and 20.
20
Let z = 4430 - 93082/21. Calculate the common denominator of z and 35/13.
273
What is the smallest common multiple of 4 and (-44 - -43)/(1/(-6)) - -2?
8
Let m = 8 + -138. Calculate the common denominator of m/(-48) - (-1)/(-3) and 13/8.
8
Suppose 0 = -6*w + w + 15. Suppose -5*x + 0*b + 4*b = -280, -w*x = -4*b - 168. Calculate the least common multiple of 16 and x.
112
Let z = -1111 + 1117. Calculate the least common multiple of z and 123.
246
Suppose 4*b - 70 = -34. Let c = 17 - 14. Calculate the smallest common multiple of b and c.
9
Let l(j) = 4*j**2 - j + 7. What is the least common multiple of l(-5) and 88?
1232
Let j(a) = a**3 - 13*a**2 + 24*a - 12. Let r be j(11). Calculate the common denominator of -93/10 and 44/r*(-5)/27.
270
Let y = -42 + 37. Let p(i) = 4*i + 3. Let q be p(4). Let b = q + y. What is the least common multiple of b and 22?
154
Suppose -101*k + 4320 = -65*k. What is the smallest common multiple of 105 and k?
840
Let p = 1536 + -84484/55. What is the common denominator of -21/5 and p?
55
Let j be (-8 - -2)*4/6. What is the least common multiple of (-248)/60 + 5 + j/(-30) and 25?
25
Let i = -884/11 - -81. What is the common denominator of -41/288 and i?
3168
Suppose -4*z - 2*d + 50 = 0, -3*d - 1 = -2*z + 4. Calculate the smallest common multiple of 40 and z.
40
Suppose m = 0, -6*x + x = -3*m + 130. Let u = x + 36. What is the lowest common multiple of u and 2?
10
Let l(q) = q**2 - 8*q + 12. Let x(p) = -p**3 + 7*p**2 + 9*p. Let j be x(8). Suppose 14*d + 59 - 87 = 0. What is the lowest common multiple of l(j) and d?
12
Let t be (1 - (-1 + 2)) + (-7)/714. Let r = t - -944/51. Calculate the common denominator of r and 17/2.
2
Let n = 21835/142 + -12154834/79023. Find the common denominator of -89/4 and n.
4452
Let t(c) = c**3 - 14*c**2 + 11*c + 23. Let i be t(13). Calculate the common denominator of (2/(-56))/(((-12)/776)/i) and 63/16.
112
What is the common denominator of 64/35 and 31/22*178/(-445)?
385
Suppose 2562 = -y + f, -3*y - 5116 = -y - 4*f. Let o = -25697/10 - y. Calculate the common denominator of o and ((-2)/2)/(10/(-114)).
10
Suppose -2*x + 4*i + 129 - 83 = 0, 0 = 5*x + 4*i - 129. What is the least common multiple of 35 and x?
175
Suppose -5*m + 26 = -24. Find the common denominator of -38 and (60/(-16))/((-45)/m).
6
Calculate the common denominator of -8/7 and (-9)/(3780/(-24))*(-145)/7.
49
Let k = 799/535 + -10/107. Let b = 4487/2490 - 1/498. Find the common denominator of b and k.
5
Let o = -3/44555 - 1023088/24906245. Let s = o - 59919/24596. Calculate the common denominator of -43/12 and s.
132
Let g = -5/141 + -571/1128. Find the common denominator of 51/(-42) + -10 + 12 and g.
168
Let j(m) = 5*m**3 - 5*m**2 + 2. Let i be j(1). Suppose -5*v - 44 = -4*p, 0 = -p - i*v - v + 28. Calculate the smallest common multiple of p and 32.
32
Let h be (-302)/(-4) - 2/4. Suppose -h = -5*g - 20. What is the lowest common multiple of g and (-10 - -10) + (-2 - -3)?
11
Let f = -27 - -27. Suppose f = -j + x + 232, 6 = -4*x - 2. Find the common denominator of ((-8)/28)/((-8)/j) and -59/22.
154
Suppose -5*g + 2*z - 8 = 3*z, 2*g + 5 = -z. What is the common denominator of g/11*(28 + (-1)/1) and -81/10?
110
Let m(j) = j**2 - 9*j - 216. Calculate the lowest common multiple of m(-11) and 7.
28
Let k(u) = 60*u + 2. Calculate the smallest common multiple of k(1) and -12*(-5 + (8 - 4)).
372
Let f = 170/83 - -3015/1162. Calculate the common denominator of -71/56 and f.
56
Suppose 4*s - 190 = -126. What is the lowest common multiple of 108 and s?
432
Let q = -195 - -249. What is the least common multiple of 22 and q?
594
Let b = 22 + -17. Suppose -3*d + b*l = -18, -l - l = d - 6. Calculate the least common multiple of 14 and d.
42
Let i = -17251/13584 + -1/1132. Calculate the common denominator of -1/2 and i.
48
Let k = 0 - -2. Let i(m) = m**3 - 10*m**2 + 10*m - 6. Let q be 18*(-1)/(-6)*3. Calculate the lowest common multiple of k and i(q).
6
Suppose 4*t = -4*s + 21 + 15, 0 = t - 3*s - 9. Let r(c) = -c**2 + 10*c - 3. Let g = 1 - -4. What is the least common multiple of r(t) and g?
30
Let z be (44/33)/(4/9). What is the smallest common multiple of (z + -55)*8/(-8) and 44?
572
Suppose 5*s - 5*c + 40 = 0, -8 = -0*s + s - 5*c. Suppose 12*v + 14546 = -11014. What is the common denominator of 1/s + v/48 and -77/12?
12
Let a(o) = o**3 - 28*o**2 - o + 119. What is the smallest common multiple of a(28) and 143?
1001
Let j = -7 - -3. Calculate the common denominator of -31/5 and j/6 - 62/15.
5
Let t = -140066/19130111 - -36/4613. Let f = t - -78777/33176. Calculate the common denominator of -35/326 and f.
1304
Suppose 5*b - b = 36. Let m = -1063 - -1067. Calculate the smallest common multiple of b and m.
36
Find the common denominator of 1/60 and (-6815)/1551*2/(-4).
660
Suppose -6*m = -361 - 11. Suppose -m = -8*f + 50. Find the common denominator of f and ((-2)/(-56))/(4/(-408)).
14
Let q be (10/(-20))/(2/(-124)). Suppose 0 = y - q - 17. Calculate the smallest common multiple of y and 18.
144
Suppose -25 = 5*j, 4*w = -5*j + 3 - 12. Let o(a) = a**2 - a - 240. Let t be o(0). What is the lowest common multiple of w and (-2)/15 + (-2912)/t?
12
Calculate the common denominator of (-9)/(-27) + (-4)/(192/(-74)) and 46/33.
264
Let t = -1994/3 - -1939/3. Let v = 37039/2212 - -3/553. Calculate the common denominator of t and v.
12
Suppose -4*h = -157 - 275. Find the common denominator of (-1503)/h + 1/(-4) and -145/24.
24
Let p = -1 - -3. Suppose -2*w + 50 = w - 5*o, -16 = 4*o. Calculate the least common multiple of p and w.
10
Let i = -2 - -4. Suppose -3*z + i*f = -0*f - 68, 2*z + 2*f = 42. What is the lowest common multiple of z and 14?
154
Let h(v) = 2830*v - 1. Let c be h(-1). Let q = 17087/6 + c. Find the common denominator of (-24)/(-6) - (-14)/(-4) and q.
6
Suppose 0*q - 10 = -2*q. What is the lowest common multiple of q*(1 - 0/1) and -76 + 76 - -1*7?
35
Let q(u) = -u**3 + 2. Let l = 15 - 9. Suppose -2*d + 2*i = -l, 3*d - 2*i = -0*d + 14. Calculate the lowest common multiple of d and q(0).
8
Let f = -77 + 151. Let d = f - 54. Suppose -3*p + 9 + 3 = 0. What is the least common multiple of d and p?
20
Suppose k = -4, 5*z - k - k = 8. Let n = z - 45. What is the smallest common multiple of 4 and 43/5 + (-18)/n?
36
Let v = -5902 + 247843/42. Let l = -103675/39726 - 3/2207. Find the common denominator of v and l.
126
What is the common denominator of 1/(432/(-122))*494/(-247) and 73/12?
108
Let x = -25 + 4. Calculate the lowest common multiple of (1 - 1) + (-12)/(-1) and 28/(-8)*(-3 + (-27)/x).
12
Let r(v) = 1665*v. Let c be r(-1). Let h = c + 30029/18. Find the common denominator of -67/20 and h.
180
Let r = 193775/12 - 16157. Calculate the common denominator of (-6)/(-18) + (-101)/18 and r.
36
Let a = 23 + -45. Let o = 25 + a. What is the lowest common multiple of o and 5?
15
Let h be 1/6*(-42762)/(-20). Let d = 42316 + -213238/5. Let i = d + h. What is the common denominato