860. Let j = 8220 + -65857/8. Find the common denominator of k and j.
312
Let a be (-10)/(-40) + (-730)/8. What is the least common multiple of (-26)/a - 1704/(-14) and 6?
366
Find the common denominator of 151/3714 and (-1)/(-15)*30/(-12) + 1729/234.
11142
Let z(u) = u**3 + 16*u**2 + 18*u + 7. Calculate the least common multiple of 18 and z(-7).
2898
Let l = -19 - -15. Let g be l/30 - (-3121)/(-1980). Let t = 3/44 - g. Find the common denominator of t and 77/10.
90
Let d = 936959/2970 - 3157/10. Let s = -40088/9 - -4459. What is the common denominator of d and s?
297
What is the smallest common multiple of 120 and (1/6 + (-550)/132)/((-1)/40)?
480
Let j = -7586 - -7730. Calculate the least common multiple of j and 32.
288
What is the common denominator of ((1/(-639))/(34/102))/(32/(-279)) and 47/994?
15904
Let z = -43013 - -43025. Let u = -10 + 14. What is the smallest common multiple of u and z?
12
Find the common denominator of ((-97)/12)/(3 - 20/6 - 5) and -89/12.
192
Let k(g) = 39*g**2 + 301*g - 10. Calculate the lowest common multiple of 22 and k(-9).
440
Let q = -44044 + 3963899/90. Find the common denominator of 32/255 and q.
1530
Let d = -12037 + 12213. What is the least common multiple of d and 144?
1584
Suppose -4*c + 72 + 92 = -5*t, 4*c + 5*t - 204 = 0. Let l = c + 17. What is the smallest common multiple of l and 24?
504
Suppose 8*z - 10*z = -18. Let g be -3 - -4 - (2 + 1) - 7. What is the least common multiple of z and (-1)/(1/(-46)) + (g - -7)?
396
Let i(o) = -o**2 - 5*o + 16. Suppose -20*q = -23*q - 21. Suppose 7*j = 4*j + 4*w + 27, -4*j + w = -23. What is the lowest common multiple of j and i(q)?
10
Let l be (-239)/174*1 - 3. Let s = 1/696 - l. Calculate the common denominator of s and -1 + (-74)/(-9) + 1.
72
Suppose -44583 = -36*d + 4377. Calculate the smallest common multiple of d and 1700.
6800
Let c(g) = g**2 + 6*g - 7. Let p be c(-10). Find the common denominator of (-2 - 456/(-231))/(p/154) and 0 - 1 - 85/120.
264
What is the common denominator of 14/39 and -1 + -1 + (-1127)/(-546) - 1/2?
39
Let c = -419229/40900 - -1/10225. Let w = -442 - -308. Calculate the common denominator of -1 + 1 + w/12 and c.
12
Let m(s) = 3*s - 51. Let c be m(16). Calculate the common denominator of -31/20 and c/2*(-34)/(-72)*-14.
60
Let j be ((-600)/(-4))/3 + 0. Suppose 3*o = -3*b + 2*b + 34, -3*b + j = -4*o. What is the smallest common multiple of 3*16/(-24)*2/(-4)*2 and b?
22
What is the common denominator of 1 + 6654/(-1092) + (-1 - (-12)/2) and -89/364?
364
Suppose -82*m + 16 = -66*m. What is the common denominator of 13/6 and (-1 - m)*1 - 28/(-40)?
30
Calculate the common denominator of 9*(-3)/3 + 29628/3456 and 51/160.
480
Let r = -109/24092 - -3/1585. Find the common denominator of 91/874 and r.
8740
Let d(k) = -6*k - 48. Let x be d(-10). Suppose -n = 8 - 7. Calculate the common denominator of 1 + -5 - (328/x)/n and -19/12.
12
Suppose 19*f - 7*f = -384. Let q = f + 60. What is the smallest common multiple of 24 and q?
168
Suppose w - 4 = -3*l - 31, 2*w + 24 = 4*l. Let m = -1604/65 - -300/13. What is the common denominator of m and w?
5
Let m = -9/658 - 25937/3948. Find the common denominator of m and -101/32.
96
Suppose 4*c + 1105 = 9*c. Let d = 224 - c. Calculate the lowest common multiple of 6 and d.
6
Calculate the least common multiple of (11/(-44))/((-6)/16)*(-42)/(-4) and 1563.
10941
Let f = -184 + 183. What is the smallest common multiple of 5 and (-25 - -24)/(f/24)?
120
Let z = 1129 - 5668/5. Let f = 2818 + -197251/70. Calculate the common denominator of f and z.
70
Calculate the common denominator of (-3038)/(-84)*-4*2/378 and 82/45.
405
Let y = -1020 + 453. Let c = y - -614. What is the least common multiple of c and 2?
94
Let g(d) = -6*d**3 + 52*d**2 - 15*d - 88. What is the smallest common multiple of g(8) and 540?
2160
Suppose n + 3 = 2*n. What is the least common multiple of 2/n + (-1)/(-3) and ((-4)/(-4))/(((-210)/(-24))/(-5) - -2)?
4
Suppose -210 = -9*t + 4*t. Suppose 0 = 14*l - 52 - 74. Suppose q = -l*q + 180. What is the lowest common multiple of t and q?
126
Suppose 0 = -8*d - d + 54. Let w be ((-230)/d + -1)/((-280)/36575). Let o = w + -5141. Find the common denominator of o and 41/16.
48
Let x(j) = -j**3 + 10*j**2 + 13*j - 12. Suppose 5*q - 5 = 195. Let i = 50 - q. What is the lowest common multiple of x(11) and i?
10
Let m(c) = -c + 1. Let y(f) = 4*f - 9. Let i(s) = -4*m(s) - 2*y(s). Let a(w) = -w**3 + w**2 + 20. Calculate the smallest common multiple of i(-14) and a(0).
140
Let j = -1/149 - 14051/59898. Find the common denominator of 73/6 and j.
402
Let a = 241231/12 - 20091. Let c = -96186/19 - -3173017/627. What is the common denominator of a and c?
132
Let f be ((-177)/(-9) + 0)*3. What is the lowest common multiple of 40 and (-3)/9*2*(-1 - f)?
40
Let g = 194245070644 - 11420638928241396/58795. Let i = 1/5345 + g. Find the common denominator of 7*(-10)/(-75)*18/12 and i.
55
Let i = -130619 - -24295067/186. What is the common denominator of i and (-888)/(-495) + 8/(-20)?
2046
Calculate the common denominator of 17/286 and 11*23/(-253) - (-6)/130.
1430
Suppose -8*p = -77 + 589. Calculate the common denominator of 11/3 and (-3 - p/24) + 148/351.
351
What is the common denominator of (3/(-366))/((-1)/4) and (20/(-360))/(1 + (-270)/268)?
549
What is the lowest common multiple of 15 and ((-1)/(-3))/(16 + 1150/(-72))?
60
Suppose 2*n = 3*u + 7*n + 40, 3*u - 2*n + 47 = 0. Let h = u + 31. Calculate the smallest common multiple of 52 and h.
208
Let n = -8/821 - 51563/16420. Let p be ((-2)/(-519))/(10*(-4)/90). Let i = p - 21425/3114. What is the common denominator of i and n?
180
Suppose 1138 = 12*z - 926. Let r = z - 122. Calculate the smallest common multiple of 20 and r.
100
Let b(f) = 11*f**2 + 559*f + 1690. What is the smallest common multiple of b(-3) and 48?
336
Let u = 454 - 446. Suppose 0 = u*n - 248 - 136. Calculate the common denominator of (-586)/48 + (-2)/(-6) and n.
8
Let r = -148966824240/151 + 986538850. Let n = r - 3590. Calculate the common denominator of n and 101/8.
1208
What is the common denominator of (-15)/(-100)*(-13098)/(-1593) and 404/(-10)*(-1)/24?
60
Calculate the smallest common multiple of 308 and -2 - -1 - (-9 + -20).
308
Let l = 321975161/22 + -14630730. Let f = l + -4506. Find the common denominator of f and -115/6.
66
Let d = 18 - 34. Let z = 39 + d. Suppose 3*m + 2*a - 70 = 0, -5*a + z + 2 = 0. Calculate the lowest common multiple of m and 26.
260
What is the common denominator of (26 - 29)*45/490 and -7/8?
392
Let i = 2945300464889149 - 6968580753265973119/2366. Let l = -61987218 + i. Let g = -3/338 + l. What is the common denominator of -51/2 and g?
14
Let k = 14811907/184 - 80499. Calculate the common denominator of 1*(-49)/20 + (38 - 37) and k.
920
Suppose -380*w + 385*w - 572 = -v, v - 3*w = 636. What is the lowest common multiple of v and 156?
7956
Suppose -3*u + 48 = -4*l - 7*u, -5*l - 80 = -5*u. Calculate the least common multiple of (-14)/91 + (-1)/((-78)/324) and 2/7 - 990/l.
284
Let u(b) = -2*b - 33. Let j be u(-16). Find the common denominator of 113/6 and ((-21)/126)/(j/47).
6
Let y(v) = -17*v**3 + 3*v**2 - 2*v. Let l be y(2). Let j = -50 - l. Suppose -4 - 70 = -15*s + 46. Calculate the least common multiple of j and s.
312
Let l = -901909376/273209 - -95734/29. What is the common denominator of -57/4 and l?
37684
Let u(g) = -2*g**3 + 12*g**2 + 118*g + 606. Calculate the least common multiple of 42 and u(-6).
5334
Let t be 27/(-15) + 1 + (-14)/(-5). Let w be 924848/(-1120) + t/5. Let c = w + 821. Find the common denominator of c and -46/5.
70
Suppose 22*c - 18*c = 8. Let b(r) = 3*r + 35. Let z(w) = 2*w - 1. Let m(y) = c*b(y) - 6*z(y). Calculate the lowest common multiple of 2 and m(11).
10
Suppose -8*i = -i + 140. Suppose 3*b - 3*k = 3, 0 = 4*b - 2*k + 8 - 2. Calculate the lowest common multiple of i*((6 - 11) + (0 - b)) and 2.
20
Let d(m) = -8*m - 100. Let o be d(-14). What is the least common multiple of 24 and (o/7)/(54/252)?
24
Let g be -416 + (0 - -4)/(-2) - 4. Let m = g - -424. Calculate the smallest common multiple of 32 and m.
32
Suppose h = 2*t - 0*t - 796, 2388 = -3*h + 2*t. Let l = -338 - h. What is the smallest common multiple of 3 and (-8)/(-28) - l/(-14)?