u = 40, -3*f + 5*u = -6*f + 60. What is the smallest common multiple of f and 344?
1720
Let l(y) = -16*y. Let z be l(1). Let s be 258 + (-12)/(2 - 0). Find the common denominator of (-238)/s*(z - -1) and -53/3.
6
Suppose -2*h - 9 = -2*o + 9, 10 = -2*h. Suppose -l + o*z = -52, 28 + 157 = 5*l + 5*z. Calculate the common denominator of 29/15 and (-2 - -176)*(-2)/l.
30
Let f = 5 + -2. Let g(r) = r**2 + r - 3. Suppose 0 = -3*y + 5*j + 7, 4*y - 12 = -0*y + 4*j. Calculate the smallest common multiple of y and g(f).
36
Let b be 0 - -3 - (-1 - 5). Suppose 0 = -w + 46 - b. Calculate the least common multiple of 15 and 1/(-4) - w/(-4).
45
What is the common denominator of 3 - 2 - 82/8 and ((-3)/(-264))/((-1480)/368 + 2 - -2)?
44
Calculate the common denominator of 38/15 and ((605/2)/(-5))/(31 - 43).
120
What is the least common multiple of 1/((-11)/(-2*616)) and 28?
112
Let b = -927 + 937. Suppose 16 = 2*w + w - 4*y, -2*w + 18 = y. What is the least common multiple of b and w?
40
Let s = -85 - -105/2. Find the common denominator of (-106)/102 + (-4)/6 and s.
34
Let c(u) = u + 32. Suppose 38 = 5*g - 2*f, 18 = g - f - 2*f. What is the smallest common multiple of 14 and c(g)?
266
Let s = -8248534/145 - -56886. Calculate the common denominator of -40/203 and s.
1015
Let z be 5 - 0 - 5 - (-5812)/(-6). Let n = 956 + z. Find the common denominator of -137/30 and n.
30
Let x be 4708/(-24)*1/(-135). Let p = 1/324 - x. Let s = -4699/6 - -794. Find the common denominator of p and s.
60
Let j(p) = -p**3 - 54*p**2 + 109*p - 73. What is the lowest common multiple of 11 and j(-56)?
1045
Suppose 26*l = 43 + 61. Calculate the least common multiple of 20 and l.
20
Let j = 2495 - 10029/4. Calculate the common denominator of 33/98 and j.
196
Suppose 0 = -0*l - l + 20. What is the least common multiple of (-8)/((-300)/36 + 7) and l?
60
Let z = -79502200 - -1749501041/22. Let a = 20578 - z. What is the common denominator of a and -77/24?
264
Let v(f) = f**3 - 9*f**2 + 8*f - 4. Let d be v(8). Let j(z) = -2*z - 1. Let b be j(d). Calculate the least common multiple of 11 and (-16)/(-2) - b/7.
77
Let o be (-1)/4 + (-452)/32*-2. Suppose 0 = -h - 2*s + 14, 0 = 2*h + 5*s + 3 - o. Calculate the smallest common multiple of h and 0 + 0 - (-12 + 4).
40
Calculate the common denominator of -29/200 and (0 - -4 - -3) + (-1131)/464.
400
What is the common denominator of ((-164)/10)/(-10 + (-30)/(-25)) and 13/14?
154
Let y(m) = m**3 - 35*m**2 + 123*m + 58. Let o(n) = n**2 + 6*n + 3. Calculate the least common multiple of o(-6) and y(31).
27
Let p = -22/2325 + -3462/5425. Calculate the common denominator of p and -71/30.
210
Let i(c) be the second derivative of -c**5/10 + c**4/6 + c**3/6 + 2*c**2 - 6*c. Let p be i(3). Let h = p + 40. Calculate the lowest common multiple of h and 7.
77
Let y = -599 + 600. What is the least common multiple of 35 and y?
35
Suppose -n + 2*q = 26, -n - 24 = -4*q + 4. Let d = -1939/132 - 21/44. What is the common denominator of d and n*-8*4/(-216)?
18
Suppose -u - 2*i + 60 = -4*i, 0 = 4*u - 3*i - 215. What is the lowest common multiple of 40 and u?
200
Let f(v) = 2*v**2 + 6*v - 6. What is the least common multiple of (-665)/(-45) + -7 - (-4)/18 and f(-5)?
56
Suppose 3*c + 108 = u - 6*u, 0 = -2*u + 4*c - 38. Let a = u - -16. Calculate the common denominator of -4 - a - 51/30 and -37/11.
110
Let h be ((-32)/10)/(10/(-25)). Suppose 3*j = 2*j + 2*l + h, 5*j - 40 = 3*l. Calculate the smallest common multiple of (3 + -4 - -3) + j and 4.
20
Let w = 11544 - 1939445/168. Find the common denominator of w and ((-241)/112 - (-4)/(-14))/((-81)/(-396)).
168
Let p be -4 + 10 + -3 - -21. Let y = p - 32. Let u = y + 16. Calculate the smallest common multiple of u and 10.
40
Let w(m) = m**2 + m + 1. Let i be w(-4). Suppose -x - i + 4 = 0. What is the common denominator of -7 - x - 39/(-10) and -73/10?
10
Let o = -20 + 18. Let w be o/4 + 8455/(-8140). Let t = -1/148 + w. Find the common denominator of 7/2 and t.
22
Suppose 3 = -3*y - 12. Let j be (2/y)/((-4)/20). Find the common denominator of ((-9)/22)/(j/12) and 38/3.
33
Suppose -644*z + 640*z = -96. What is the smallest common multiple of z and 12?
24
Calculate the common denominator of -64/35 and 6*(-2)/(-60) - 1673/490.
70
Let o(j) = 3*j - 4. Let k be o(3). Let n be 4 + k - (-4)/(-2). Suppose 5*b + n = 57. Calculate the lowest common multiple of 8 and b.
40
Let p(t) = -t**3 - 3*t**2 + 9*t + 26. Calculate the lowest common multiple of 24 and p(-4).
24
Let k = 2/1457 + -77243/16027. Calculate the common denominator of 18/31 and k.
341
Suppose 4*f - 34 = -2*g, -3*g + 7 = f - 2*g. Let z = 9 + -15. Let m = z + f. What is the least common multiple of 1 and m?
4
Let v = 41491/88130 + 4/6295. Find the common denominator of -65/22 and v.
770
Let r = 538/3 + -875/6. Suppose n + 2*q = -6 - 4, 2*n - 3*q + 55 = 0. Find the common denominator of n and r.
2
What is the common denominator of 26/11 and ((-8)/20 - 0)/((-16)/365)?
88
Suppose -28 = -2*m - 4*i, -8 + 3 = -m + i. What is the lowest common multiple of m and 12?
24
Let a = -4019/4 + 995. What is the common denominator of a and 75/28?
28
Let m(v) = v - 17. Suppose 3*q = 10 - 4. Calculate the lowest common multiple of q and m(25).
8
Let x be (-622882)/120 + ((-51)/15 - -3). Let m = x - -5188. Find the common denominator of m and 115/6.
12
Let j(p) = 2*p. Let u be 2/(-6) - (-15)/(-9). Let h = u - -20. What is the smallest common multiple of h and j(2)?
36
Let l be (32/12)/(8838/(-32673)) + 4. Let b = -15/491 + l. Find the common denominator of b and (-7)/(-2)*5/(-2).
36
Let n = 2583/4 + -661. What is the common denominator of n and -5*(2/12)/(-1)?
12
Let t be (-2)/10 - (-370)/(-25). Suppose 0 = -4*i + 2*w - 36, 3*i = 7*i - 3*w + 36. Find the common denominator of 16 and (1/t)/(i/(-27)).
5
Suppose -529 - 71 = -24*u. What is the smallest common multiple of u and 45?
225
Suppose -4*f - 5*k + 19 = -20, 3*k + 36 = 3*f. Let p = -18 - -23. Suppose -2*u + 0*u = -p*n + 10, -1 = n - u. What is the least common multiple of f and n?
44
Let m = -18825/22 + 856. Calculate the common denominator of m and -77/34.
374
Let s = -2/9261713 + 467058924909/148187408. Let c = -3157 + s. Calculate the common denominator of c and (1 - -1) + 335/(-70).
112
Find the common denominator of 4/((-10)/(-115)*-21) and -20/71.
1491
Let t(j) = -3*j - 2. Let p(l) = -4*l - 2. Let w(d) = 2*p(d) - 3*t(d). Suppose -174 = 9*c - 201. Calculate the smallest common multiple of 15 and w(c).
15
Let z be 885/(-5)*(4/6)/1. What is the common denominator of 2/2 - (z/12 - -2) and 79/4?
12
What is the common denominator of ((-226)/(-270))/(0 + (-2)/3) and -73/81?
810
Suppose 0 = -p + 26 - 9. Calculate the smallest common multiple of p and 83.
1411
Let u = 24 + -35. Calculate the common denominator of ((-134)/u)/(2*-2) and 73/16.
176
Let t = 245 + -165. Calculate the lowest common multiple of t and 16.
80
What is the least common multiple of 4/(((-112)/(-1197))/4) and 3?
171
Calculate the common denominator of 4/45 and (-4)/((-560)/679) - 7.
180
Let o(x) = 16*x**3 + 2*x**2 - 2*x. Suppose -4 = 10*n - 14. Calculate the lowest common multiple of o(n) and 7.
112
What is the least common multiple of 8*(5/2 + 6/12) and 81?
648
Let i = -72 - -88. Calculate the least common multiple of i and 160.
160
Let r = -66162/79 - -8774584/10191. Let t = r + -8/43. Find the common denominator of -94/15 and t.
15
Let o = -295/6 + 35/3. Let h be (-22)/23*(-14)/(-8). Let c = -1024/69 - h. Calculate the common denominator of o and c.
6
Let q(n) = -6*n**2 + 8*n + 6. Let d be q(-3). Calculate the common denominator of 89*2*2/d and -91/134.
1206
Let x = 10 + 1. Suppose x*j - 144 = 2*j. Calculate the lowest common multiple of 1 - (-1 + -5 + 1) and j.
48
Let g be 54/(-105)*26138/8. Let u = -1683 - g. Calculate the common denominator of ((5/5)/((-14)/(-194)))/(-2) and u.
70
Let v = -157/9 - -1393/36. Let q = 4693/1185 + 119/79. Calculate the common denominator of q and v.
60
Let n = 66 + -66. Suppose 7*b + 10*b - 680 = n. What is the lowest common multiple of b and 10?
40
Let b = 39 + -44. Let c = b + 13. What is the lowest common multiple of c and 2?
8
Find the common denominator of 6/(1/(-9) + (-22710)/(-9990)) and 2 + 2/((-224)/268).
280
Let c(a) = 7*a - 16. Let