820. Let r be 33/(-27) + 1 + (-221582)/(-738). Let x = 300 - r. Find the common denominator of x and c.
451
Find the common denominator of (5/(120/387))/(-73 + 70) and -61/52.
104
Suppose 0 = -2*x + 4*c - 1 + 15, 3*x - 21 = -3*c. Let y be -5 - ((-98)/(-3))/(16/24). Let m = y - -62. Calculate the lowest common multiple of m and x.
56
Let w = 3/3176 + -323967/15880. Let l = w + 111/5. What is the common denominator of 1162/528 + (-72)/(-792) - 5*1 and l?
120
Let b = -7736 + 7738. Calculate the least common multiple of b and 74.
74
What is the smallest common multiple of 924 and (50 - 49)/(9/12 + (-1)/2)?
924
What is the common denominator of -65/108 and (1/24)/(-100*(-15)/40)?
2700
Suppose 5854 = 15*c + 5644. Let v = 13 - -25. Suppose -3*d = -4*j - v, -3*d - j + 13 = -0*d. Calculate the lowest common multiple of c and d.
42
Let r = 4077 + -3857. Calculate the least common multiple of 495 and r.
1980
Let i(j) = 4*j - 1 + 3 + 1 + j**2. What is the least common multiple of i(-6) and (-6)/10*70/(-126)*(-4 - -31)?
45
Calculate the common denominator of (15/(-4))/15 + (-4134)/(-17400) and 151/870.
4350
Let i(h) = -1780*h - 8540. What is the lowest common multiple of i(-6) and 32?
17120
Suppose 4*d - 1190 = -5*b, -b - 494*d + 498*d + 262 = 0. Calculate the lowest common multiple of b and 66.
726
Let z = -163216159/210 + 777214. Let i = z + -106/35. Calculate the common denominator of -67/56 and i.
168
Let l(i) = i**2 - 39*i - 181. Calculate the smallest common multiple of l(-5) and 6.
78
Suppose 5*p + i - 6238 = 0, 14 = 5*i + 24. Calculate the least common multiple of 18 and p.
3744
Let z be 7 - (740/5 - 6). What is the common denominator of (-5)/5 - (5 + z/35) and 41/70?
70
Let i(u) = -u**2 - 8*u. Let c be i(-4). Suppose 4*f + 2*t + c = 0, 2*f - 2 = 5*t - t. Find the common denominator of 45/110 - 2/((-2)/f) and 59/16.
176
Let i = -8/3913 - 37858/622167. What is the common denominator of -161/66 and i?
3498
Suppose 6*g - 4*g - 6 = 0. Let u be (4 - -2)*g/9. Suppose x + 89 = 5*s, 0*x - 2*x - 34 = -u*s. Find the common denominator of s and -47/8.
8
Suppose 5*g - 4*g = -5*b + 844, 0 = b - 3*g - 204. Let d = 47 + -14. What is the lowest common multiple of b and d?
1881
What is the smallest common multiple of 20 and ((-1220)/366)/((-1)/60)?
200
Suppose 4*j - 2*k - 8 = 0, -4*k + 16 = 4*j - 2*k. Calculate the common denominator of (-2736)/(-448) + j/(-12) and 137/60.
420
Let g = -148/121 - -1299424/5445. Let q = 1146/5 - g. What is the common denominator of q and (-17)/21 + (1 - 0)?
63
Suppose 5*p + 403 = 5*i + 2*p, p - 336 = -4*i. Let z = i - 21. Find the common denominator of (-6)/(-9)*z/(-16)*2 and -101/2.
6
Let d(c) = -c**2 + 24*c + 793. Calculate the smallest common multiple of d(-17) and 4272.
8544
Suppose 2*p - 1 = 1. Let b(n) = 2*n**3 - 8*n**2 + 4*n - 14. What is the smallest common multiple of (p/(-3))/((-4)/24) and b(4)?
2
Let h = -310381508337 - -31686227421920875/102088. Let z = 98779/609146335 - 4/47735. Let i = z + h. Calculate the common denominator of -69/2 and i.
8
Find the common denominator of (-488)/2013*12/(-34) and -3/68.
748
Let x = -291/2 - -709/5. Let s = 58373/132 - 4869/11. Find the common denominator of s and x.
60
Suppose u + 2*k - 3 = -7, 3*u - 2*k = -44. Let y = 35 - u. Suppose 6*o - 34 = 2*o - 2*f, 5*o + 4*f - y = 0. Calculate the lowest common multiple of 11 and o.
77
Let f = -1/4 - 0. Calculate the common denominator of 61/238 and f.
476
Let z = -1019 + 1152. Calculate the lowest common multiple of 266 and z.
266
What is the smallest common multiple of 16*-3*(-20 - (-767)/39) and 1708?
6832
Suppose 6*v = 11*v - 4*r - 48, -v + r = -10. Calculate the smallest common multiple of v and 43.
344
Let t be -1348*((-2)/(-2))/7. Let l = 196 + t. What is the common denominator of l and 93/4?
28
Suppose -3*d + 4*m = -0 - 59, 4*m + 109 = 5*d. Calculate the least common multiple of 155 and d.
775
Suppose 124 = i + 4*w, 2*i + 2*w + 198 = 4*i. Calculate the least common multiple of i and 24.
312
Suppose 41 + 29 = -s + 5*u, 4*u = 0. What is the least common multiple of (-3)/15 + (-1554)/s and 24?
264
Let l(x) = -38*x + 2. Let z be l(1). Let n be (-31995)/z*188/(-14). Let f = n + 11927. Calculate the common denominator of f and 95/14.
14
Let y = 267 - 207. Let g = 1074 - 1050. What is the least common multiple of y and g?
120
Let i be (2/(-1))/(-4 - (-195176)/48792). Let t = 573332/47 + i. Calculate the common denominator of t and ((-20)/22)/((-1)/4).
517
Suppose 411 = -c - 5*q + 1406, c + 4*q - 992 = 0. Let y = 995 - c. Calculate the least common multiple of y and 165.
165
Suppose 0 = w + 84 - 7. Let n = w + 79. What is the common denominator of 53/80 and ((-27)/405)/(0 + n/(-303))?
80
Let i be (75/(-10) + 8)*-45338. Let y = i - -1224091/54. What is the common denominator of y and 47/27?
54
Let s be (-6866)/31*(-1)/36. Let u = s - 34/31. Let z = 95101/8916 + 1/2972. Find the common denominator of z and u.
18
Calculate the common denominator of ((-3)/12)/(-1)*1*2881/129 and 3/8.
24
Let p(h) = h + 11. Let j be p(-6). Suppose -2*y - 1 = y - j*u, 5*u - 10 = 0. What is the least common multiple of -2*3/3*(-4 + y) and 2?
2
Suppose 4*b = 10*b - 150. Let l be (21/(-9) - -2) + 350/6. Let p = l - b. What is the lowest common multiple of p and 21?
231
Let w = -1217 + 3163. What is the lowest common multiple of w and 6?
5838
Let f = 2943260/1088613 + 1/40319. Let b be (-1750)/3 + 115/(-69). Let t = -1756/3 - b. What is the common denominator of t and f?
27
Let d = 1349541 - 3012175435/2232. Calculate the common denominator of d and 29/2790.
11160
Let o = -93 - -142. Suppose -o*i + 15 = -44*i. Calculate the smallest common multiple of 9 and (i - (-45)/20)/((-1)/(-4)).
63
Let t = 1864 + -1531. Calculate the smallest common multiple of t and 74.
666
Suppose 4*m + x = 46, m - 5*x = 3*m - 32. Let p(f) = -2*f + 26. Let i be p(m). Calculate the lowest common multiple of 38 and ((-6)/i)/(12/(-32)) + 0.
76
Suppose 4 = -11*h + 10*h. Let x = -26 - h. Calculate the common denominator of (22/(-77))/((-2)/x) and -54/7.
7
Suppose -286 = 2*c - 290, -5*p - 2*c = -154. Calculate the lowest common multiple of 2067 and p.
20670
Suppose 2*l - 511 = 167. Let v(p) = 2*p**2 + p - 6. Let m be v(2). Find the common denominator of 95/24 and (-2)/((-90)/l) - m.
120
Suppose -4*g + 27 = 5*g. Let v(l) = 5*l**3 + 2*l**2 - 4*l - 1. Let m be v(g). What is the common denominator of (1 - 20/15)*(-78)/m and 43/18?
630
Let t = 5 - 2. Suppose 0 = 149*o - 140*o + 27. Let b(n) = -5*n**3 + 4*n - 3. Calculate the least common multiple of b(o) and t.
120
What is the lowest common multiple of 630 and 18/216*-3 - (-1)/((-8)/(-3082))?
6930
Let u = 338069/4080 + -2795/34. Calculate the common denominator of u and 62/165.
2640
Let y(x) = -21*x - 47. Let i be -2 - (-4 + 6) - -161. What is the common denominator of y(-1) and i/(-24) + (-66)/(-44)?
24
Let h be (4 - -1)*(64/20 + -4). Let u be -141*4/8 - h/8. Let f = -54 - u. Calculate the least common multiple of f and 5.
80
Let z = -4268 + 5108. Calculate the lowest common multiple of 525 and z.
4200
Let i(x) = 2*x**3 + 48*x**2 - 11*x - 99. Calculate the lowest common multiple of 275 and i(-24).
825
Suppose -27*j - 9*j + 720 = 0. Suppose 2*p = i + 8, 4*p - j = -p - 5*i. What is the lowest common multiple of p and -3*6/4*-2?
36
Let n = -2536/5 - -61199/120. Calculate the common denominator of -23/564 and n.
1128
Suppose 226 = 5*o - 3*u, -2*u + 170 = 4*o + u. Let x(w) = 3*w**2 - 1000*w - 2991. Calculate the lowest common multiple of o and x(-3).
396
Suppose 1127*t - 1203*t = -1596. What is the smallest common multiple of 11 and t?
231
Let t(i) = -i**3 - 14*i**2 - 4*i + 1. Let k be t(-6). What is the common denominator of ((-1)/k)/((-2)/568) - -1 and 67/4?
1052
Let f(p) = -p**2 + 12*p - 30. Let k be f(7). Suppose -k*n = 3*y + 168, -4*n - n = -5*y + 200. Calculate the common denominator of 31*3/n + 0 and -43/12.
12
Let v = 151193/4 - 37803. Let h = 5 + 1. Calculate the common denominator of v and 4/h*30/64.
16
Calculate the common denominator of 59/777 and 7816/(-21090) - (1 + 1 + 3672/(-1530)).
14763
Find the common denominator of (-1)/(-72)*4410/45 and -1/35.
1260
Let p = -568309/3058 - -2044/11. Calculate the common denominator of 25/(-6)*46/10 and p.