the common denominator of 46/9 and p/4 + (-248)/24?
18
Let w(y) = y**2 + 4*y - 16. Suppose -4*f - 52 = 5*q, 3*q - 7*q - 5*f - 47 = 0. What is the least common multiple of w(q) and 1?
16
Let s = -281727/1232 + 2511/11. Find the common denominator of s and -55/18.
1008
Let x be (6/(-7))/(36/(-168)). Calculate the lowest common multiple of (x/3)/(1/6) and (-165)/(-6)*(-8)/(-10).
88
Suppose 4*n - 2*n - 2*d - 8 = 0, -2*d = -5*n + 26. Calculate the least common multiple of n and 8.
24
Let t = -69702423 + 1672602805/24. Let d = -10641 - t. Calculate the common denominator of d and 57/10.
120
Let d be (-1)/(-2) + (-312)/(-16). Let w(r) = -r**2 - r - 16. Let z be w(-8). Calculate the smallest common multiple of z/d*10/(-4) and 3.
9
Let i = 14271 - 314047/22. What is the common denominator of (-40)/(-10) - 62/(-24) and i?
132
Suppose -150 = -2*x - 3*s, 4*x + 4*s - 243 = 57. Calculate the least common multiple of x and 5.
75
Suppose -4*q + 5*t - 1374 = -2*q, 3477 = -5*q + 2*t. Let d be 3 + -4 + q/(-4). Let z = -351/2 + d. What is the common denominator of z and -57/20?
20
Suppose -27*n = -26 - 28. Calculate the least common multiple of n and 48.
48
Suppose -5*t + 58 = -v, -34 = t - 3*t - 5*v. Let k = -86 + 168. Suppose b - 2*n - 6 = 4, -5*b + 2*n + k = 0. Calculate the least common multiple of t and b.
36
Let i(s) = 2*s + 12. Suppose -16 = -5*v - 4*u, 0*u + 12 = -4*v + 3*u. Let l be i(v). Calculate the common denominator of -61/5 and -1 + ((-1360)/l)/(-5).
15
Let z(r) be the third derivative of 37*r**4/24 + 7*r**3/6 + 23*r**2. Calculate the lowest common multiple of 20 and z(1).
220
Let k = 8 + -1. Let a(c) = -c**2 - 6*c + 2. Suppose -2*j = 3*u, 0 = 2*j - 5*u + 19 + 13. Calculate the smallest common multiple of a(j) and k.
14
Suppose -v = 4*v - 15. Suppose -v*h = 2*y - 7*y + 43, -4*y = h - 14. Let s(t) = -t**3 - 7*t**2 + t - 4. Calculate the common denominator of s(h) and 13/8.
8
What is the common denominator of ((-91)/16)/((-10)/(-8)) and (-1)/(-8)*(11 + -1)?
20
Find the common denominator of 244/(-576) + (6 - 30/6) and 47/252.
1008
What is the common denominator of 4/20 + (-7580)/37400 and -27/14?
2618
Let z(g) = -g**3 + 4*g**2 - 3*g + 8. Let v be z(4). Calculate the least common multiple of (-9)/12 - 127/v and 9.
279
Let k be (20/25)/(-1 - (-9)/15). Find the common denominator of -1 - k - (-285)/(-78) and -49/4.
52
What is the smallest common multiple of 42 and (-1040)/(-156)*297/15?
924
Let k = 203 - 292. Let s = k + 107. What is the smallest common multiple of 20 and s?
180
Let q(o) = 10*o**2 - 4. Calculate the least common multiple of q(2) and 7.
252
Let t = 24883/5026 + -8/359. What is the common denominator of 23 + -16 - 34/36 and t?
126
Let s(d) = -2*d**3 + 9*d**2 - 5*d + 12. What is the smallest common multiple of s(4) and 4?
8
Suppose 110*h = 118*h - 4928. What is the least common multiple of h and 18?
5544
Let u = 12 + -3. Calculate the lowest common multiple of 25 and u/27*-7*(1 + -16).
175
What is the common denominator of -31/30 and ((-12)/400)/((-18)/(-332))?
150
Suppose 13*q - 5 - 21 = 0. Suppose -4 = -q*l + l. What is the least common multiple of l and 3?
12
Let h = -83/36 - -41/9. What is the common denominator of (6*282/(-96))/((-162)/8) and h?
108
Suppose 4*i = -g + 21, -g + 18 = 5*i - 2*i. Calculate the least common multiple of 12/(-10)*(-15)/2 and g.
9
Calculate the least common multiple of (63560/170 - 10) + (-2)/(-17) and 22.
4004
Let z(d) = 9*d**2 - 36*d - 35. What is the smallest common multiple of 10 and z(9)?
370
Let b = 35 + -36. What is the smallest common multiple of -2*(-1)/(-1)*b and 20?
20
Let c be -2*((-610)/4)/5. Let x be (c/(-9))/((-8)/(-156)). Let r = x + 3313/24. Find the common denominator of r and -97/10.
40
Let u be (1 - (-5 - -2)) + 7747/196. Let m = 5/196 - u. What is the common denominator of m and -23/5?
10
Let o be (3 + -3)/(-3 + 1). Suppose o = 4*y + 7 - 39. What is the least common multiple of y and 1?
8
Let c = -1926 - -1932. What is the least common multiple of (-4)/(-2) + 0 + 5 and c?
42
Suppose 5*s = -9*f + 4*f - 10, 3*f - 18 = 3*s. Suppose 776*x + 254 = 789*x + 33. Calculate the least common multiple of x and f.
34
Suppose 29*g + 60 = 44*g. Calculate the lowest common multiple of g and 316.
316
Let w(f) = 2*f**2 + 6*f - 6. Let c be w(1). What is the lowest common multiple of (((-600)/5)/(-3))/c and 44?
220
Let u = -1/61286 - 1639384/1011219. Calculate the common denominator of 113/18 and u.
198
What is the lowest common multiple of -4 + (-50)/(-5) - -26 and 28?
224
Let z(c) = -c**2 - 28*c - 48. Calculate the least common multiple of 21 and z(-20).
336
Suppose -168*d = -177*d + 2691. Calculate the lowest common multiple of 143 and d.
3289
Suppose -152 = -8*k + 360. Suppose -15*t - 4 = -16*t. Calculate the lowest common multiple of k and t.
64
Let v = 333 - 2371/7. What is the common denominator of -137/42 and v?
42
Let h(n) be the third derivative of -n**4/8 - n**3/3 + 4*n**2. Let k = 3 + 1. What is the least common multiple of k and h(-4)?
20
Let s(w) = -8*w - 29. Let z = 68 + -72. What is the lowest common multiple of s(z) and 5?
15
Let a(r) = 5*r - 17. Let o be a(4). Suppose -x + 5*y + 25 = -1, 0 = -o*x - 2*y + 10. What is the least common multiple of 2/3 - (-50)/6 and x?
18
Let t be 2*5/(-2)*72/5. Let u = -68 - t. Calculate the least common multiple of u and 20.
20
What is the lowest common multiple of (-41)/(11685/(-100350)) - (-2)/(-19) and 11?
352
What is the least common multiple of 84 and (3850/330)/((-2)/(-36))?
420
Let m(x) = -x + 6. Suppose -107*s + 32 = -99*s. What is the smallest common multiple of m(0) and s?
12
Let m(a) = -a**3 + 19*a**2 - 35*a + 21. Let u be m(17). Suppose -5*z + 2*z = -4*d + 33, -5*z - 39 = -u*d. Calculate the lowest common multiple of d and 8.
24
Let v be -4 - (-2 + (-6)/3). Suppose v = -b - 2*a + 16, 0*a - 2*a - 24 = -b. Calculate the least common multiple of 18 and b.
180
Suppose -7*i + 10 = -11. Calculate the smallest common multiple of ((-70)/(-15))/(1/9) and i.
42
Suppose -4*g - 2 = -6*g, -2*g = -2*r + 30. Let p(u) = u**2 - 2*u - 4. Calculate the lowest common multiple of r and p(-4).
80
Let u = -127668108 + 262996278259/2060. Let s = 4/515 + u. Find the common denominator of s and -1*(-14)/(-16) + -1.
8
Let m be -3 - 1*(-35246)/3141. Let c = m - -1/1047. Calculate the common denominator of c and 6/8 + 34/40.
45
Suppose -3*x + 5*b = -0*b - 176, -20 = 5*b. Let t be x + (-2)/2 - 3. What is the least common multiple of 3 and 306/t + (-6)/16?
6
Let k = -29255/6 + 4892. Find the common denominator of k and 109/78.
78
What is the common denominator of -28/3 and ((-655)/(-160) + -4)*664/(-252)?
336
Let k = -921699 - -1437850589/1560. Calculate the common denominator of k and 9/20.
1560
Let n(r) = r**2 - 10*r - 7. What is the least common multiple of n(11) and 5?
20
What is the common denominator of (58/168)/((-1)/9) and (-532)/(-48) + (4/(-2) - 3)?
84
Calculate the smallest common multiple of 2 and ((-96)/(-7))/(48/168).
48
Let j be ((-8)/5)/((-18)/135). Let b = -8 + j. Suppose b*p - p - 3*n = 9, 0 = p + 2*n - 3. Calculate the lowest common multiple of p and 7.
21
Let f = -4 + -3. Suppose -3 = 8*n - 115. What is the common denominator of (f/35)/(n/(-425)) and 49/10?
70
What is the least common multiple of ((-44)/55)/(8/(-20)) and 12?
12
Let h = 223 - 1351/6. What is the common denominator of (159/(-60) - 0) + 0 and h?
60
Let p = -2/2499 + 50849/44982. Find the common denominator of 55/8 and p.
216
What is the least common multiple of 28/(-35)*(1165/(-10) - -4) and 7?
630
Find the common denominator of 61/3 and 315/(-1526)*(-12)/18.
327
Find the common denominator of 133/114 + (-580)/72 and ((-74)/(-6))/(8/(-6)).
36
Let j(o) = o**2 - 15*o + 10. Let d be 16 - ((-2)/11 - 26/(-22)). Suppose 2*v = 34 + 18. Calculate the least common multiple of v and j(d).
130
Suppose 84 = 2*m - 34. What is the common denominator of (m/132)/((-17)/51) and 89/14?
308
Let n = -1204801/4 - -339228. Let f = -40688 + n. Let h = 2681 + f. Find the common denominator of h and -77/2.
4
Let f = -5413 - -135274/25. Calculate the common denominator of ((-166)/12)/(-1) + 3 and f.
150
Calculate the common denominator of 1/9 and (-14 - 896/210)*(-10)/1304.
2934
Let k = 8768306/1789821 + 1/198869. 