-110).
220
Let n(y) = y**3 + 12*y**2 + y - 57. Let w be n(-8). Suppose -12*k + 1 + w = 0. What is the least common multiple of k and 68?
272
Suppose -5*f = -4*y + 19 - 107, -5*y + 95 = 4*f. Let z be (-20)/(-6) - (-6)/9. What is the least common multiple of (-22 - -13)/((-3)/z) and f?
60
Calculate the common denominator of (-45)/(-9)*2/(-716) and 129/9*5/(-30).
3222
Suppose -3*l - 29 = 43. Calculate the common denominator of (((-16)/12)/2)/((-98)/357) and 6/(-10) - l/(-5).
35
Let b be 1540/(-66)*(-18)/4. Calculate the least common multiple of 56 and (-4)/(-14) + (-10)/b*-291.
56
Let k = -2663/2303 + 39/47. What is the common denominator of k and -5/497?
3479
Let n be 23386/(-110)*(2 - (-50)/(-12)). Let a = 6826/15 - n. What is the common denominator of a and -115/48?
240
Let k = 32749/2192889 - 20/1563. Let v = 169781/8418 - k. Find the common denominator of -61/6 and v.
6
Find the common denominator of -52/1269 and 6/(-4)*(-2807)/226164.
10152
Let t = -394430 + 1972193/5. Let j be 2/(-5) + (-74059)/(-460). Let d = -649/4 + j. What is the common denominator of t and d?
115
What is the common denominator of 113/66 and (-125)/2700*-18 + 172/(-39)?
858
Let c = 54052 + -486523/9. Suppose 383 = 4*h - 269. Calculate the common denominator of (-1)/2 - h/30 and c.
45
Let f(u) = u + 22. Suppose 0 = 4*a + 23 - 15. Let g be -13 - (a + -1)*1. Calculate the smallest common multiple of f(g) and 28.
84
Let j = -1025284 - -173273482/169. Let i = j - 51391/20280. Calculate the common denominator of i and 137/12.
120
Let j be (-24)/(-11) - 2 - (-77455)/(-428120). Let u = j - -763/1668. Find the common denominator of u and -83/162.
648
Let z(a) be the first derivative of a**2/2 + a - 1. Let g = 5269 - 5233. Calculate the smallest common multiple of g and z(3).
36
Let p = 20758/48789 - 80/417. What is the common denominator of 121/234 and p?
702
Let z = -48 + 68. Let q be ((-27414)/1275)/((-96)/z + 4). Let a = -258/17 + q. What is the common denominator of a and -27/14?
70
Suppose -4*q = -3*m + 158, -5*m - 3*q + 4*q + 252 = 0. Calculate the smallest common multiple of 285 and (-6)/10 + 1380/m.
2565
Let b(r) = 23*r**2 + 4*r + 11. What is the least common multiple of 3 + (-1)/(1/(-12)) and b(-1)?
30
Let d be (2 + 3/(-2))*-16. Let n = 10 + d. Find the common denominator of 33/2 and (-2)/n - (-21)/(-4).
4
Let a(l) = -8*l**3 + 36*l + 62. What is the smallest common multiple of a(-2) and 180?
540
Let d = 104687903381/15006 - 6976403. Find the common denominator of -8/7 and d.
105042
What is the lowest common multiple of ((-45)/6)/((-3)/10) and 125?
125
Suppose -3*x - 5*p - 61 = 0, -5*x + 206*p - 208*p - 70 = 0. What is the common denominator of (-2)/x + 70*(-7)/112 and 3/(-72)*(0 + 17)?
24
Let n(g) = 66*g**2 - 5*g + 5. Let x = 4 + 17. What is the smallest common multiple of x and n(1)?
462
What is the common denominator of 70/927 and (5886/4944)/(-9) - 2/16?
1854
Let a = -64702 - -34077. Let h = a + 7411315/242. Calculate the common denominator of 41/2 and h.
242
Let m(x) = -3*x**2 + x**3 - 12*x - 9 - x**2 + x - x**2. Calculate the least common multiple of m(7) and 128.
384
Let p = 37236 - 37216. Suppose 2*m = -i + 2, i + 4*i = -10. Suppose 0 = -m*k - k + 54. What is the smallest common multiple of k and p?
180
Let h = -10936 + 153137/14. Calculate the common denominator of h and 33/7960.
55720
Let f = -2205/4 - -20125/36. Find the common denominator of f and ((-170)/45)/17 - 1436/180.
45
Let c = 13222 - 8806. What is the smallest common multiple of 3864 and c?
30912
Let x(g) = -g + 18. Let a = 48 - 44. Let f be 12/(-8) - (-38)/a. Calculate the smallest common multiple of 8 and x(f).
40
Let g = -10974773/31 + 354061. Let i = g + -13079/434. Calculate the common denominator of i and -1 + 2*(-1)/8.
28
Let d = -114997/12 - -9590. What is the common denominator of -109/756 and d?
756
Let c(b) = 2*b**2 - 2. Let o be c(0). Let l be (o + 0 + 21)/(-1). Let a = -14 - l. Calculate the least common multiple of a and 9.
45
Find the common denominator of 1 + 18500/(-150)*(1 - (-1003)/(-1012)) and 101/598.
6578
Let y = 86227/984 + -701/8. Let z = y + -2030/123. Let l = 3799 - 53103/14. Calculate the common denominator of z and l.
14
Let m be 3/(-9)*(-10 - -1)*-2. Find the common denominator of (-504)/256 - (2 + m) and -1 + 0 - (-214)/20.
160
Let w = 12 + 0. Let k = -474 - -474. Suppose 6 = 3*p + 4*y - 11, y - 2 = k. What is the smallest common multiple of p and w?
12
Let g = 368 + -82. Let s be (-429)/12 + (-4)/16. Find the common denominator of (((-2)/(-2))/1)/(s/g) and -73/9.
18
Let h(w) = -14*w + 60. Let r be h(4). Suppose 16 = q - r*c, -2*q + 2*c = -28 - 4. Calculate the smallest common multiple of 210 and q.
1680
Calculate the common denominator of -36/35 and (-1153510)/(-89125) + -1*13.
4025
Suppose -4*f - 52 = 3*z - 40, f + 5 = -z. What is the least common multiple of 10309 and f?
30927
Suppose -5*i = -2146 - 1294. Suppose -15*a + i + 62 = 0. Calculate the least common multiple of 40 and a.
200
Let w = -201 + 202. What is the least common multiple of 13*42/6 + w and 4?
92
Suppose -4*z + z + 4*q = -6, -3*z = -3*q - 6. Suppose 2*s + 58 - 68 = 0. Suppose 35*l + v = 40*l - 45, v = s. What is the smallest common multiple of z and l?
10
Let h = -2951 - -1620. Let v = 6887/8 + -858. Calculate the common denominator of (h/(-9075))/(-1 - 114/(-110)) and v.
120
Let r = 5601/5 - 1124. Let i be 1*-3 + (7629 - -5). Let f = 91691/12 - i. Calculate the common denominator of f and r.
60
Let h = -9207 - -165613/18. Find the common denominator of h and 41/((-46)/3 - (-2)/6).
90
Calculate the common denominator of (37 + 13079/(-116))*((-5)/18)/5 and -41/304.
912
Let i = 242251/18 - 13452. Calculate the common denominator of i and -67/6642.
6642
Suppose -5*u + 3 = -3*p, 0 = 3*p - 7*u + 4*u - 3. Suppose 96 = p*x + 16. Suppose 16*w = 1611 - 555. What is the least common multiple of w and x?
660
Let d(g) = 2*g + 48. Let r be d(-15). Suppose -r = -2*i + 2*c, -i + 25 = 2*i - 4*c. Let p = i - 8. What is the lowest common multiple of p and 7?
21
Suppose 3*k = 33608 + 31792. Suppose -6*p + k = -p. Let s = p + -34923/8. Calculate the common denominator of s and 99/10.
40
Let s = -722 + 778. Suppose -3*x + 0*x - 2*z + s = 0, -3*x + 4*z = -68. What is the smallest common multiple of 25 and x?
100
Suppose -24 = -6*r + 60. Suppose -925 = -r*d - 253. Let y = 1 + 7. Calculate the least common multiple of d and y.
48
Let q(f) = f**3 + 7*f**2 + 5*f - 5. Let g = -281 + 339. Suppose 48 = -2*t + g. Calculate the smallest common multiple of q(-6) and t.
5
Let d be (7 - 2)/((84/12)/14). Suppose -4*b + k + 47 = 0, 0 = -5*b - 0*k - 5*k + 65. Suppose -4*q + d*q = b. Calculate the smallest common multiple of q and 12.
12
Let w be 6/12 + (-1)/2. Suppose 4*k + 4*a = 120, 10*k - 5*k + a - 130 = w. Calculate the smallest common multiple of 20 and k.
100
Suppose -2*k + 0*k = -30. Let w(u) = u**3 - 10*u**2 - 23*u + 3. What is the least common multiple of k and w(12)?
15
Suppose -229460 = -182*f + 27*f + 6*f. Calculate the lowest common multiple of f and 20.
1540
Suppose 0 = 4*x + 3*l + 4419, 3*x - 2*l = 3*l - 3307. Let p be 53831/x - 1/(-3). Let b = p - -1236/23. What is the common denominator of -61/6 and b?
48
Find the common denominator of 147/180*(9/(-6))/(15/40) and -103/1038.
5190
Let m = 44159/10 + -4426. Find the common denominator of (9 + (36/(-2478) - 9))/(1/(-35)) and m.
590
Let g = 33/865 + 108907/160890. What is the common denominator of 260/165 - (2 - -1) and g?
2046
Let g(x) = 7*x - 79. Let d be g(13). Suppose d*l = 28*l - 64. What is the least common multiple of 5 and l?
20
What is the smallest common multiple of -10*-8*(-2 + 3) and 4/(-24)*(14 + -4 + -2)*-66?
880
Let z = 36 - 80. Let m = -49 - z. What is the smallest common multiple of ((-2)/(-5))/(m/(-275)) and 6?
66
Let l = 4310 - 3944. Suppose -4*j + 1 = 3*p, -j + 6*p + 24 = 2*p. Calculate the lowest common multiple of l and j.
732
Suppose -9*y - 2*y + 44 = 0. Suppose -o + y = 3*o. Calculate the common denominator of -95/24 and o/2*-2 + 106/(-36).
72
Let z be (-2 - (0 - 2))*(-1)/(-2). Suppose -5*n + 25 = 5*y, -4*y + z*y - 4 = n. What is the lowest common multiple of 16 and n?
16
What is the common denominator of 4025/77280 + (-4)/6 and 2/(-1) - 129/(-20