?
132
Let n = -111913/349011 + -2/2041. Calculate the common denominator of 4/9 and n.
171
Let m be (-30526)/333*-12*9. Let y = 9902 - m. Let v = -2581/370 + y. Calculate the common denominator of v and 47/10.
10
Suppose -5*t + 1268 = 68. Calculate the common denominator of -41/14 and (-252)/t - (-1)/(-1 + 0).
140
Let m(p) = p**3 - p**2 - 2*p + 12. Let h be m(0). Suppose 4 = k - h. What is the lowest common multiple of k and 38?
304
Let c be 1/(-3) - (-512)/(-3). Suppose k + 214 = -4*b, 2*b - 3*k = -5*k - 104. Calculate the common denominator of (c/b)/((-3)/(-5)) and 31/12.
36
Suppose -10 = 4*b - 26. Suppose 0 = -3*i + 2*z + 44, -5*z = i + b + 4. What is the smallest common multiple of i and 6?
12
Calculate the common denominator of (-6 + (-660)/(-72))/(1*2) and 113/30.
60
Let q(u) = -5*u - 10. Let v = 3 + -11. What is the smallest common multiple of q(v) and 18?
90
Suppose -4*u + 2*f + 11 + 3 = 0, 0 = 3*u + 3*f - 6. Suppose 0*g + 24 = u*g. What is the least common multiple of 22 and g?
88
Let g = -3229/150 + -66/25. Let v = g - -29/3. Find the common denominator of 33/49 and v.
98
Let o = -202763/30 - -6763. Find the common denominator of 17/8 and o.
120
Let m be (48/9)/((-2)/6). Suppose 102 = 5*p - 3*f, -4*p = -3*f + 5*f - 64. Calculate the lowest common multiple of 2*30*m/(-24) and p.
360
Let b = -638 + 640. Let p = 23 + -11. Calculate the smallest common multiple of b and p.
12
Let d(k) = -2*k**2 + 29*k - 67. Suppose -16 = -4*o + 4. Suppose 0 = -p + o*a - 10, -5*p = -3*p - 2*a - 4. What is the lowest common multiple of d(11) and p?
10
Let m = 2219 + -19999/9. Calculate the common denominator of m and 119/36.
36
Let w = 887 - 797. What is the lowest common multiple of w and 54?
270
Suppose 4*i - 9*i + 1950 = 0. Suppose 30 - i = -6*k. Calculate the lowest common multiple of k and 22.
660
Suppose 5*y = -20 - 40. Let v = y + 14. What is the lowest common multiple of v and (-574)/(-98) + 1/7?
6
Let x = -11 - -3. Let d be ((-1439912)/36)/(x/3). Let p = d + -14988. What is the common denominator of p and 145/18?
36
Let j be 4 + (-15)/20 + (-1)/4. Suppose 2*v - j*x - 4 = -7*x, 4*v = -2*x + 38. What is the lowest common multiple of v and 6?
12
Suppose q + 119 + 36 = 0. Find the common denominator of -99/20 and ((q/(-12))/5)/(66/(-9)).
440
Suppose -3*f - z = 33, 0*f + 4 = -f + 2*z. What is the common denominator of f/(-6) + -1 + (-1351)/42 and 101/26?
26
Suppose 25 = 3*t - d, 1 = 2*t + 5*d + 7. What is the least common multiple of 7 and t?
7
Let w(r) = 3*r**2 + 8*r - 27. Calculate the smallest common multiple of 15 and w(3).
120
Let m = -83/32 + 1057/352. Find the common denominator of (-814)/80 + 3 + (-48)/15 and m.
88
Let o be (66/416405)/((-6)/8). Let l = o - -123634518/416405. Let m = -298 + l. Calculate the common denominator of m and 121/6.
66
Let b = -62198047/252 - -246818. Calculate the common denominator of b and 25/24.
504
Let b(a) = -10*a + 270. Calculate the smallest common multiple of 135 and b(24).
270
Let u = 49 + -42. Let q = -4 + 5. What is the smallest common multiple of q and u?
7
Suppose -6*z = -4*z - 24. Let r = 21 - z. Suppose r*m = 4*m + 100. What is the least common multiple of 16 and m?
80
Calculate the common denominator of (-50)/28*111/555 and -15/374.
2618
Let r be (-8)/6*7*-3. Let k = -36 + r. What is the least common multiple of (27/18)/((-6)/k) and 4?
4
What is the common denominator of 1 - (-2 + 1335/320) and 97/46?
1472
Let r = -137/12 + 34/3. Let c = -22045/6 + 3663. Find the common denominator of r and c.
12
Let f(a) = -a. Let n(w) = w**3 + 10*w**2 - 16*w - 11. Let p(q) = 6*f(q) - n(q). What is the least common multiple of p(-11) and 24?
264
Suppose -24*a + 789 = 69. What is the least common multiple of a and 30?
30
Let s(x) = -8*x + 14*x + 6 + 3*x**2 - x**2. Let j = 0 - -8. Calculate the smallest common multiple of j and s(-2).
8
Suppose -4*b = n - 25 + 2, b - 18 = -2*n. Let v = n + 7. Let d = 25 + -13. Calculate the lowest common multiple of v and d.
84
Suppose -12*v + 732 - 192 = 0. What is the least common multiple of 25 and v?
225
Let j be 8 + -5 + -3 + 4. Suppose -j*x - 2*u + 26 = 0, x - 8 = -2*u + u. Suppose 32 = 4*d - 0*d. Calculate the lowest common multiple of d and x.
40
Let g(p) = 2*p**2 + 6*p + 2. Let l be g(-5). Let q = -81 + 57. Find the common denominator of -37/14 and (11/l)/(q/(-106)).
168
Suppose 4*j - 11 - 5 = 0. Suppose 1 = -2*h + 11, -h + 19 = -2*k. Calculate the smallest common multiple of k*(-2 + (-8)/(-7)) and j.
12
Let c(w) = 5*w - 4. Let f = -2 - -4. Suppose -4*d + 57 = -5*n, f*d = -n - 0 + 11. What is the smallest common multiple of d and c(4)?
16
Suppose -4*j = -5*k + 23, -j - 2*k = -0*j - 4. Let r = 187 - 178. Let x = r + j. Calculate the least common multiple of x and 11.
77
Let l(d) = 14*d - 21*d + 0*d**2 + d**2 - 12. What is the smallest common multiple of l(-2) and 8?
24
Suppose -3*s = -5*f + 149, 3*s = f + 2*s - 29. What is the least common multiple of 4 and f?
124
Let r = 17/11 + -428/99. Find the common denominator of -33/283 and r.
2547
Let u be 44 + -4 - 3/3. Let g be (-182)/u*6/(-4). Suppose g = w + 1. Calculate the lowest common multiple of 10 and w.
30
Let l = 187184/315 + -4164/7. Find the common denominator of -51/25 and l.
225
Let k = 17 - 8. Let r = 12 - 4. Suppose 0*y = y - r. What is the least common multiple of k and y?
72
Suppose -22*b = -26*b - 34424. Let h = -275471/32 - b. Find the common denominator of h and -83/22.
352
Suppose 3*g - 15 = 0, -5*z + 5*g - 445 = -5370. Let c = 570 - z. Calculate the lowest common multiple of c/(-26) + 16/(-104) and 18.
144
Let f = 1/121 - -3257/1210. Find the common denominator of 19/118 and f.
590
Let w = -1932 - -30893/16. Let o = 24/13 - -761/130. What is the common denominator of w and o?
80
Calculate the common denominator of 2/7 - (-547)/70 and 39/(-5) + -2 + (-55)/(-25).
10
Suppose 0*m + 84 = -3*m. Let g = -242 + 241. What is the common denominator of -37/22 and g + ((-74)/m - 1)?
154
What is the lowest common multiple of 204 and 5*(5 + -3 + 1)?
1020
Let g(i) = i**2 + 2*i + 5. Let n = -23 + 27. Suppose -52 = -n*k + 4*w - 3*w, w - 32 = -2*k. Calculate the least common multiple of k and g(-5).
140
Let m = 17 - -12. Let s(f) = f**2 - 50*f + 440. Calculate the smallest common multiple of m and s(11).
319
Let i = -1/90737 - 6804971/27584048. Find the common denominator of -33/190 and i.
1520
What is the common denominator of -2/13 and (-2)/21 - 6474/2142?
221
What is the common denominator of -2*217/(-44)*(-145)/(-1015) and -73/99?
198
Let s = 23815 + -41478. Let n = s + 353371/20. Let i = 543 - 8671/16. Calculate the common denominator of n and i.
80
Let k = -74 - -77. What is the lowest common multiple of 38 + -3 - (k + -7) and 10?
390
Let d = 21 - 18. Suppose -d*u - 4 = -133. What is the least common multiple of u and 1?
43
Let q(y) = -y**3 - y. Let m be q(-1). Calculate the lowest common multiple of 15 and m/(-3) - (-1380)/45.
30
Find the common denominator of 4/(-34) + (-2247)/(-459) and -11/2.
18
Let n = 52 + -80. Let t = n - -36. What is the lowest common multiple of 10 and t?
40
Suppose -8*p - 48 = -0*p. Let g be 522/(-18)*(-26)/p. Let w = 5167/42 + g. Find the common denominator of -139/6 and w.
42
Suppose 0 = -3*t - 5 - 7. Let v = -2 - t. What is the lowest common multiple of (2/v)/(8/40) and 5?
5
Suppose -4*n - 3*i - 723 = -8*n, n + i = 179. What is the lowest common multiple of 24 and n?
360
Suppose 0 = y + 5*y - 198. Let q = 59 - 35. What is the least common multiple of y and q?
264
Let q = 5 - 2. Let l be (q - 3)/(-3) - -2283. Let m = l - 36495/16. Calculate the common denominator of m and -69/2.
16
Calculate the least common multiple of 24 and 12 + (-11)/(-1) + -5.
72
Suppose -y = 6 - 14. Suppose 2*n + 0*n - 5*v + 14 = 0, y = 4*n - v. What is the least common multiple of n and 3?
3
Let j(q) = -q**3 + 13*q**2 - 4*q - 46. Calculate the lowest common multiple of 10 and j(12).
50
Let x = -207 - -264. What is the smallest common multiple of 57 and x?
57
Suppose -l - 2 - 4 = 0. Let h = l - -7. What is the common denominator of (-452)/48 + 2 + h and 97/14?
84
Let i(c) = -15*c + 67. Calculate the lowest common multiple of i(4) and 14.
14
Let r(p) = -29*p**3 - 2*p**2. Let l be r(2). Let g be 14*5/l*-4. Let s = g + -1