*1. Let w = 396245/24 - 16505. Calculate the common denominator of 3/((-42)/(-19)) + (-23)/m and w.
24
Let r = -755 + 757. What is the lowest common multiple of r and 2?
2
Let o be (1 - -1) + 893669/(-175). Let b = o + 5106. What is the common denominator of 113/6 and b?
150
Suppose -27 = 2*b - x, 85 = b - 6*b - x. Let o = 183 + -230. What is the lowest common multiple of 6 and o/(-4) - 4/b?
12
Let l(v) = v**2 - 9*v + 2. Let w(u) = -u**3 + 5*u**2 - 4*u + 2. What is the least common multiple of w(4) and l(9)?
2
Let j = 245 - 220. Calculate the least common multiple of j and 25.
25
Let f = -16725/253 - -720/11. Calculate the common denominator of f and -53/184.
184
Suppose -29*g = -27*g - 12. Suppose -2*k - 5*l - 2 = 0, 3*k + 7*l = 4*l + g. Calculate the least common multiple of k and 3.
12
Let x = 21151 + -2961069/140. What is the common denominator of -115/56 and x?
280
Suppose 0 = 11*b - 12*b + 2*z + 16, 3*b - 36 = 3*z. What is the least common multiple of (8/(-2))/(-2) + 1 and b?
24
What is the common denominator of 7/45 and 3/1*(-10)/24?
180
Let s(w) = -w - 6. Let v be s(-8). Calculate the common denominator of (1155/20 - 3)/(3/v) and 11/4.
4
Let o be ((-12)/8 + 1)*(-1 - -23). Find the common denominator of (o/4 - -3)/(56/(-76)) and -49/4.
56
Let o = 56017 - 2240793/40. Find the common denominator of o and -103/40.
40
Calculate the least common multiple of 25 and (-46)/(-10) - (-9 + (-559)/(-65)).
25
Let z = 6135583/81 + -75747. What is the common denominator of 11/45 and z?
405
Let w be 16 + -10 + -2 + 60022/20. Suppose 0 = 3*d + 7*m - 4*m - 9009, -20 = 4*m. Let h = d - w. Calculate the common denominator of h and -99/8.
40
Suppose -3*f - 2*c - 70 + 108 = 0, 0 = -f + c + 11. What is the lowest common multiple of 1974 and f?
3948
Let g be 2/(5 + (-12)/4). Suppose 0 = a + 3*i - 1, a - i - i = g. Calculate the least common multiple of 6 and ((-1)/3)/(a/(-6)).
6
Suppose -6*z + 110 - 32 = 0. Suppose 0 = -z*c + 10*c + 27. Let m(y) = y**2 + 6*y - 4. What is the lowest common multiple of c and m(-7)?
9
Let i = 91 - 43. Calculate the common denominator of (-5 + 4 + 15)/20 and (-92)/i + (-1 - 0).
60
Suppose 5*q + 4*t = 26 + 14, -3*t + 15 = 0. Suppose -x - 4 = 5*k + 29, 2*x = -q*k - 30. What is the common denominator of ((-291)/(-108))/(2/k) and -27/4?
12
Calculate the common denominator of 3*(-34)/(-12)*6/15 and -55/9.
45
What is the common denominator of (4/(-8))/((-15)/(-178)) and 55/6?
30
What is the common denominator of -121/24 and (((-156)/(-2550))/13)/((-8)/(-90))?
2040
Let g = -279 - -869/3. Find the common denominator of g and -59/63.
63
Let p = 14263229/192 - 74288. Calculate the common denominator of p and -41/192.
192
Let x = -112 + 120. What is the smallest common multiple of x and 38?
152
What is the common denominator of (-18*(-16)/13056)/((-6)/76) and 41/9?
612
Suppose -3*n - 2*u = 66, n + 2*u + 15 = -11. Let m = -97699/18 + 5425. What is the common denominator of m and (-116)/(-12) - ((-15)/n + -1)?
36
Suppose 124 = -4*s + 16. Calculate the common denominator of 18/s + (-26)/3 and 58/7.
21
Suppose 5*i = 4*j + 925, -j + i - 233 = -2*i. Calculate the common denominator of (j/75)/((-3)/(-5)) and -109/30.
90
Suppose -15*m = -229 + 64. Calculate the least common multiple of 16 and m.
176
Suppose -2*n - 13279878 = 2*o, -3*n - 13191558 = -4*o + 6728224. Let u = n - -79757101/12. Let w = -6485 + u. What is the common denominator of -61/12 and w?
12
Find the common denominator of ((-87)/(-15))/((-12)/(-10)*-4) and (-5)/((-245)/14) + 2090/84.
24
Suppose 0 = 48*r - 38*r - 1100. Calculate the lowest common multiple of 10 and r.
110
Find the common denominator of (-17)/68 - 72/44 and 91/8.
88
Let k be (3/(105/(-8)))/(1584/(-40)). Let f = -16867/693 + k. Calculate the common denominator of -57/2 and f.
6
Let v = 1/50246 - -362483/301476. Calculate the common denominator of v and -23/12.
84
Let y(n) = 4*n**2 + 3*n - 3. Let v be y(-3). Let i = v + -4. Calculate the common denominator of 43/8 and (5/i)/((-22)/(-56)).
88
Let o be (-84)/(-3)*(1 + (-2)/1). Calculate the smallest common multiple of 4/(-10) + 17/5 and o/(-3) + 2/(-6).
9
Let w be 23568/80 - ((-6)/(-10) - 1). Suppose w - 75 = 4*k. Calculate the least common multiple of 30 and k.
330
Let b(g) = 61*g - 369. What is the smallest common multiple of b(11) and 2?
302
Suppose 0 = -4*n + 6*n. Let i be n/(-3*1/3). Suppose 3*m + 7 - 55 = i. Calculate the smallest common multiple of 2 and m.
16
Calculate the common denominator of (1043/(-2730))/(-1) - (-6)/15 and -5/117.
234
Suppose -5*b = 4*i + 13 - 249, 2*b - 2*i - 98 = 0. Calculate the lowest common multiple of (b/8)/(-1 + 2) and 6.
6
Let i be (-312)/(-16)*(-93)/18. Let t = i - -277/4. Find the common denominator of 103/12 and t.
12
Let h be 3 + 3/((-12)/40). Find the common denominator of -85/2 and (-4)/h - 228/(-56).
14
Suppose 36*a - 40*a = -1020. Calculate the common denominator of -11/6 and 2159/a + (-4)/5.
6
Suppose 0*l - 16 = -l. What is the least common multiple of 5 and (-1)/8 + 18/l?
5
Let f be (-1 + (4 - 12))*39/(-3). Suppose 3*p + 101 = 4*l - 80, l - 29 = 4*p. What is the common denominator of (f/6)/(-21 + 9) and l?
8
Let d(s) = 2*s**2 + 30*s + 3. Let l be 12*((-84)/16 - -4). Suppose -5*g = -w + 18, 0*g + 5*g + 10 = 0. Calculate the lowest common multiple of w and d(l).
24
Suppose 26*m - 2 - 102 = 0. What is the smallest common multiple of m and 148/18 + (-4)/18?
8
Suppose 0 = -4*c + 4, 11*r - 8*r - 5*c = 16. What is the least common multiple of r and 40?
280
What is the least common multiple of -36*(-5)/10*8/12 and 12?
12
Suppose -263*y - 176 = -274*y. Calculate the smallest common multiple of 48 and y.
48
Let n be (154/(-196))/(2/(-26)*-2). Let j be -1 - (47/(-14) - 0). Let f = n + j. Calculate the common denominator of f and -55/8.
8
Suppose 3*z - 2 = 2*x, 3*z + 3*x = 4*x - 2. Find the common denominator of (z/8*2)/(10/(-214)) and -34/3.
30
Let y(c) = 6*c**2 + 4*c + 7. Let t be y(-4). Let q = t - 51. Calculate the lowest common multiple of q and 9.
36
Let o = 5 - 3. Suppose 3*v - 12 = -v + 2*t, -o*t + 13 = v. Suppose 8 = -m + v*m. Calculate the least common multiple of m and 5.
10
What is the smallest common multiple of 10 and -26*-4*(-3 - (-28)/8)?
260
What is the smallest common multiple of 939/4 + (22 - (-1566)/(-72)) and 20?
940
Let i = 336/11 + -5365/176. What is the common denominator of i and 51/112?
112
Let l be ((-77)/2)/((-6)/(-12)). Let c = l + 103. Calculate the smallest common multiple of 22 and c.
286
Suppose -2*m + y = 959, 3*m - 2*y = 2*y - 1436. Calculate the common denominator of 29/9 and (m/(-675))/((-3)/(-10)).
27
Suppose 367 = 8*w + 111. What is the least common multiple of w and 36?
288
Suppose -b - 33340 = -4*f - 0*b, -f + 8318 = 4*b. Let k be (-2)/3*-3 + f. Let c = -100177/12 + k. What is the common denominator of c and -121/6?
12
Let a = -5512627/175 + 31501. What is the common denominator of 93/50 and a?
350
Let s(f) = -f**2 + 9*f - 8. Let l be s(4). Let g = -30 + l. Find the common denominator of g and -28/9.
9
Calculate the common denominator of (130/25)/((-9)/(-5)) and 2*(-1)/(-4)*(-448)/70.
45
Let v be 4 + 0 + -3 + -4. Calculate the common denominator of (-562)/(-12) + v + 2/3 and 11/4.
4
Calculate the least common multiple of 26 + -4 + (-7 - -17) and 352.
352
What is the smallest common multiple of ((-2)/4)/(16/(-384)) and 24?
24
Let u(c) = -c**3 + 2*c**2 + 32*c - 24. Let d = 17 - -22. Calculate the lowest common multiple of d and u(6).
312
Let k = -367376089/96991188 - -24/260729. Let u = k - 66/31. Let b = -84827/6890 + 8/689. What is the common denominator of u and b?
60
Suppose -9*g - 4 = -5*g. Let t be g/(-11)*(-408)/17. Let z = -1121/66 + t. Find the common denominator of -103/6 and z.
6
Let c = 11041/15 - 734. What is the common denominator of c and -119/48?
240
Find the common denominator of (-513)/(-57) + 210/(-32) and (-2)/6 - 710/(-132).
176
Let a be -3 + 3 + (-3 - 1). Let g(t) = -t**3 - 4*t**2 - 3*t. Calculate the least common multiple of 8 and g(a).
24
Let n = -427084731481/174776154 - 315755/77782. Let s = n + 7343/3. Let k = s - -8245/2247. Calculate the common denominator of 99/8 and k.
24
Let u(x) = x**3 - 30*x**2 + 29*x + 19. Calculate the lowest common multiple of u(29) and 11.
