 8293564395067842/11041. Let k = j - 23445964544. Let x = 10/1261 + k. Find the common denominator of x and 83/20.
220
Let i(k) = -k**3 - 12*k**2 - 11*k - 5. Let j be i(-11). Let c be (-19 + 14)*2/j. Find the common denominator of c*-2*(-3)/66 and 4/5.
55
Let s = -51652 + 3408931/66. Find the common denominator of -107/192 and s.
2112
Calculate the common denominator of (-2 + 1)*1235/1197 and -83/14.
126
Suppose 80 = 14*b - 6*b. What is the least common multiple of 8 and b?
40
Let n = -27095/6 - -4503. What is the common denominator of -91/102 and n?
102
Suppose 0 = 4*p - 240 - 656. Suppose -5*g - z - p = 0, -5*g + 3*z - 7*z - 236 = 0. Calculate the least common multiple of 4 and 33/g*16/(-2).
12
Suppose 36 = -r + 3*r. Suppose z = 3*q - 2287, 3*q - 622 = 4*z + 1659. Calculate the common denominator of (-4)/r + q/(-90) and -3/8.
40
Let d = 5259 + -68421/13. Calculate the common denominator of d and 37/5.
65
Let l = 7531 - 1083. Let b = l - 58088/9. Calculate the common denominator of b and -11/12.
36
Let m = 1 + 1. Let y(d) = -d**2 - 3*d + 9. Let i be y(-5). Calculate the least common multiple of m and ((-40)/24)/(i/6).
10
Suppose 0*n - 9 = -3*n. Let h be (-21)/((n/22)/1). Let k = 797/5 + h. What is the common denominator of k and 1/7?
35
Let l be 3615/20 - 6/8. Calculate the common denominator of -47/8 and (-1269)/l + (-10)/(-8).
40
Find the common denominator of (10/(-8) + 1)*-13 and -14/87.
348
Let n be 120/54 - 2/9. Suppose -f - 5 = -l, 9 = -n*f - f. Let t(z) = 4*z**2 + z + 2. Calculate the least common multiple of t(l) and 18.
180
Calculate the common denominator of -42/23 and 2 + 5 + 60/48.
92
Let y = -10244 + 1485428/145. What is the common denominator of 4/55 and y?
1595
Let p(f) = 3*f - 12. Let i be p(5). Let j(o) = -o**2 + 11*o + 8. Calculate the least common multiple of (20/i)/((-10)/(-30)) and j(10).
180
Let b(l) = 3*l**2 - 3*l + 22. Calculate the least common multiple of b(-8) and 10.
1190
Let j = -117479/86364 + -2/2399. What is the common denominator of 95/66 and j?
396
Let o = 596359/36 + -16562. What is the common denominator of -137/120 and o?
360
Let b = 8008 + -96239/12. What is the common denominator of (-243)/2*(-2)/96 and b?
96
What is the smallest common multiple of 2 and (3 - -158)*72/126?
92
Let y = 58 + -52. Suppose 4*q = 3*b - 0 + 3, -2*b + 4*q = 2. Calculate the common denominator of 33/14 and (-140)/66 - b/y.
154
Let q = -10 + 14. Suppose -5*d + 2*g + 141 = 0, -38 = -2*d - 4*g + q. What is the least common multiple of 30 and d?
270
Let y = 42 - 19. Suppose -36 = 2*p - 50. Suppose y = 5*r - p. What is the least common multiple of 4 and r?
12
What is the common denominator of 113/234 and (19/42)/((-14)/56) + 4?
1638
Let j(n) = 3*n + 1. Let c = 34 - 57. Let i = 23 + c. Calculate the smallest common multiple of 7 and j(i).
7
Let h = 11/28 - 1355/1204. Find the common denominator of 48 and h.
86
Let q = -42 - -52. What is the smallest common multiple of q and (-53 + 4)/(1 - 2)?
490
Let h = -102 + 103. What is the smallest common multiple of h and 8?
8
Calculate the common denominator of -73/9 and 2146/(-3440) + (-30)/(-75).
3096
What is the common denominator of 121/42 and ((-186)/112)/(189/84)?
42
Suppose 2*k - 4 = 0, 53 + 3 = 5*z + 3*k. What is the least common multiple of z and 25?
50
Let v be 417062/(-80520) + (-4)/6. Let m = -5/1342 + v. What is the common denominator of (4 - 3)/(18/61) and m?
180
Let h(s) = -s**2 - 2*s + 12. Let a be h(-7). Let t = 37 + a. Calculate the common denominator of 113/12 and ((-371)/(-28))/(t/(-4)).
84
Let g be (-12)/(-9)*6/4. Suppose 3*z + 96 = -g*f, -5*z - 162 = -f + 5*f. Calculate the smallest common multiple of 5 and (-12)/(-10)*z/(-4).
45
Let p = 64832/43615 - 206/143. Calculate the common denominator of -83/4 and p.
1220
Suppose 2340 = 15*t - 2*t. What is the smallest common multiple of t and 195?
2340
Let b = -19055618/357 - -53377. Calculate the common denominator of -38/15 and b.
1785
Find the common denominator of 107/40 and (2090/(-528))/(1/3).
40
Suppose 4*u + 120 = 4*s, -5*u + 20 + 70 = 3*s. Let h be (-6)/45 + (-956)/s. Let t = -12 - h. Calculate the least common multiple of t and 12.
60
Suppose 22580 = 2*n + 2*n. Suppose 2*p - n = 7*p. Let x = 13529/12 + p. Calculate the common denominator of x and 95/6.
12
Suppose 3*b - 10 = d, 0*d - b = -2*d. Suppose -h + 74 = 5*r, -h = -r - d*r + 46. What is the common denominator of 23/2 and ((-71)/(-5))/(18/r)?
6
Suppose g + 10 = 37. Let q = -11 + g. Let z = -8 - -16. Calculate the lowest common multiple of q and z.
16
Let f(s) = s**3 - s**2 - 4*s + 6. Let r(g) = -g**3 + 20*g**2 + 43*g + 25. Let i be r(22). What is the smallest common multiple of f(i) and 24?
24
Suppose -4*t + 2*n = -18, -4*n - 6 = -t + 9. Let x = 2081/112 + -231/16. Find the common denominator of 48/(-45) - 1/t and x.
35
Calculate the smallest common multiple of 86 and -1*28/9*27/(-6).
602
Let s = 1279 - 927. Calculate the least common multiple of s and 220.
1760
Let f(y) = -y**3 - 8*y**2 + 2*y + 2. Let m be f(-9). Let g = m - 51. Suppose 4*o - k - 5 = 3*o, 3*o - 13 = k. What is the least common multiple of g and o?
28
Let k(u) = 23*u + 48. What is the lowest common multiple of 2618 and k(-2)?
2618
Let l be 12/18 + 1687/3. Let w be (978/(-12))/(11330/l). Let x = w + -1/5665. Find the common denominator of -49/6 and x.
60
Let f(w) = w**3 + 5*w**2 + w + 4. Let i be f(-5). Let h = i + 11. Suppose 1 + h = s. Calculate the least common multiple of 9 and s.
99
Let j(n) = -31*n - 246. Calculate the lowest common multiple of 96 and j(-8).
96
Calculate the common denominator of 0/(-2) - 132/60 and 73/282.
1410
Let n be 2/(0 - 9 - -2). Let b be (8/140)/(8/695). Let o = n - b. Calculate the common denominator of 1/2 and o.
4
Let d = -228 - -191. Suppose 0 = 2*t - 3*c + 40, 38 = -t - t + 4*c. Let b = t - d. What is the least common multiple of b and 20?
140
Suppose 320 = 12*i - 160. What is the smallest common multiple of i and 36?
360
Let d(k) = -k**2 + 17*k - 31. Calculate the smallest common multiple of d(14) and 24/40 + 246/15.
187
Let t be (-4)/16*-2*(-2)/(-2477). Let y = 235333/44586 - t. Let m = 642 - 3863/6. What is the common denominator of y and m?
18
Find the common denominator of -61/16 and (-894)/(-2184) - ((-10)/(-14))/5.
1456
Let t(f) = 2*f**2 - 5 + 5*f + 3 + 2. What is the least common multiple of t(-4) and 8?
24
Let x(n) = 22*n - 2. What is the smallest common multiple of x(1) and 304?
1520
Suppose 0 = 2*v + 2*s - 7*s + 7, -s = -3*v + 9. Calculate the least common multiple of v and 16.
16
What is the lowest common multiple of (-8)/(-10) + 9 + (-1105)/(-25) and 48?
432
Suppose 17*p + 72 = 2*n + 14*p, 3*n = 5*p + 109. Let s = -10 + 16. Calculate the smallest common multiple of s and n.
66
Suppose 2*v + 260 = 7*v. Let l = -48 + v. Calculate the lowest common multiple of l and 4.
4
Let v(y) = 342*y + 11. Let o be 2/(6/(-33)) - -2. Let k be v(o). Let n = k + 18335/6. What is the common denominator of 1/6 and n?
6
Let j(l) = l**2 + 14*l + 13. Let u be j(-13). Suppose u = -5*a + 5 + 10. Suppose -5 = -4*s + a. Calculate the least common multiple of s and 10.
10
Suppose 25*g + 42*g = 1474. Calculate the lowest common multiple of g and 1262.
13882
Suppose 27 = -5*c + 4*m + 3, -5*c - 15 = 5*m. What is the least common multiple of -2*(3 + c - 5) and 66?
132
Let s = 16004/11 + -1456. What is the common denominator of (63/(-621))/(2/30) and s?
253
Let m = -31 - -50. Suppose 0 = m*w - 20*w + 39. Calculate the lowest common multiple of 9 and w.
117
Suppose 0 = 8*x - 9*x - 62. Let p be (x/294)/(-3 + 2). Let g = p - 3901/4557. Find the common denominator of 17 and g.
31
Find the common denominator of 1/68 and (-3)/8 - (-3364)/10336.
1292
Find the common denominator of (2/(-4))/((-70)/(-42)) and -119/20.
20
Let i(b) = -b**3 + 28*b**2 - 50*b - 7. Calculate the smallest common multiple of 60 and i(26).
180
Let h(q) = 2*q + 16. Let g be h(-7). What is the common denominator of (g/14)/(3952/658 - 6) and 71/2?
2
Let a = -24 + 25. Let m = a + 3. What is the smallest common multiple of 22 and m?
44
Let l = -125375/15196 + 2/3799. Suppose -38 = 5*x + 92. What is the common denominator of l and -36*(2 - x/(-16))?
4
Suppose 0*w - 34 = -w. Suppose 2*h - 3*u + u = -32, 4*h + 2*u + w = 0.