+ 2310. Calculate the smallest common multiple of y(7) and 147.
588
Suppose -4*u - i - 12 = -2*i, 0 = 3*u - 2*i + 14. Let f(c) = 8*c**2 - 7*c - 9. Let r be f(u). Let o = r - 7. What is the lowest common multiple of o and 11?
330
Let v(d) = -d**3 + 7*d**2 - 11*d + 10. Let s be v(5). Let k be -6*((-10)/(-25))/(2/s). Calculate the smallest common multiple of 9 and 9/k - ((-54)/4)/3.
9
Let z(n) be the second derivative of n**5/20 - 2*n**4/3 + 4*n**3/3 + 2*n**2 + 25*n. Let b be z(7). Find the common denominator of 21/10 and b/11*46/(-8).
20
Let j(p) be the first derivative of -p**2/2 + 31*p - 19. Suppose -5*o = n - 3*n + 33, 5*n - 5*o - 60 = 0. Calculate the least common multiple of 8 and j(n).
88
Suppose 74*s - 71*s + 102 = 0. Suppose 7*l = -l - 184. Let b = l - s. Calculate the smallest common multiple of b and 2.
22
Let h(q) = 3 - 19*q - 1 + 14. Let m be h(6). Calculate the common denominator of (m/2)/(60/2) and 40/51.
510
Suppose 0 = 3*r - 6*r - 11997. Let s = -52016/13 - r. Let o = -2129 + 19132/9. Calculate the common denominator of o and s.
117
Let m be 1/5 + ((-744)/(-5) - -2). Let n = -116 + m. Calculate the smallest common multiple of 24 and 17 + 7/(n/(-25)).
24
What is the common denominator of 3*(310/(-275) - -1) and (-44)/(-17)*-3*4/(-240)?
935
Let r = -53899/6 - -8965. Let j be (-4)/18 - 1038604/(-111960). Let h = -48/311 + j. Calculate the common denominator of r and h.
30
Let a = -3804393 + 14152342091/3720. Calculate the common denominator of 83/36 and a.
11160
Suppose 14*y - 2763 - 1857 = 4*y. What is the smallest common multiple of y and 102?
7854
What is the common denominator of (-388)/6*(-2 + (-107283)/(-53592)) and -47/725?
20300
Suppose -4*i + 199 = 5*c, -2*c + 237 - 173 = -i. Calculate the lowest common multiple of c and 45.
315
Let s(z) = -11*z**3 + 6*z**2 + 4*z + 3. Let u be s(-4). Let h be 1 + 1 + 46060/180*3. Let w = u - h. Find the common denominator of w and -37/6.
6
Let j(f) = -2*f**2 - 3*f - 12. Let q(g) = 4*g**2 + 3*g + 11. Let m(h) = 3*j(h) + 2*q(h). What is the lowest common multiple of (-4)/(-10) + (-9)/(-15) and m(4)?
6
Let b be (1 + 48/(-57))*614/18. Let j = 20/19 - b. Find the common denominator of j and -42/5.
15
Suppose -4*k + 3*w = -7350, 7839 = 5*k + w - 1377. What is the least common multiple of k and 120?
36840
Suppose 1265 = -9237*i + 9248*i. What is the lowest common multiple of i and 207?
1035
Let k = 99280879/450 - 220624. Calculate the common denominator of k and 33/32.
7200
Let b be 6/16*-1*(-363184)/72. Let a = b + -1887. What is the common denominator of a and -19/70?
420
Suppose 22 = -o + 82. Calculate the lowest common multiple of ((-9300)/248)/(10/(-8)) and o.
60
Let v = 58866191/21 - 2804044. Let q = 889 + v. Calculate the common denominator of q and 80/51.
357
Let u be 40/(-6)*(-57759)/(-312). Let z = -1221 - u. Calculate the common denominator of (125/4)/((-42)/4) and z.
42
Suppose 4*m = -20, 40*b + 4*m + 1924 = 44*b. Calculate the lowest common multiple of 56 and b.
952
Let x be 180/(-225)*1910/(-4). Suppose 2*o = -3*w + x, -5*w = -9*w - 5*o + 521. What is the lowest common multiple of 28 and w?
868
Let r = -57421/10 - -5731. Calculate the common denominator of r and -5 + 56/7 + 334/(-44).
110
Let t = 874800011/7797 + -112197. Let v = t - -265048/194925. Find the common denominator of v and -73/3.
75
Suppose y - 5*y = -8. Suppose 4*z + y*x = 6*x + 24, 3*x + 24 = 4*z. Suppose -6*d + 8*d - z = 0. What is the least common multiple of d and 15?
15
Calculate the common denominator of 23/1764 and ((-6643)/(-392))/13 + 22/(-77).
3528
Let o = 3 + 4. Let h be 10*(8 + -2) + -7. Suppose 4*x = h - 29. Calculate the smallest common multiple of o and x.
42
Suppose -2*x = -2*m + 42, 435*m - 434*m = -2*x. What is the lowest common multiple of m and 256?
1792
Calculate the common denominator of 37/5 and (-437)/608 + 13/(312/(-16)).
480
Let z = -138317699/774 - -178705. Calculate the common denominator of z and -76/645.
3870
Calculate the smallest common multiple of (-8 - -14)*((-3304)/(-48) + -9) and 4.
1436
Let g = -880 + 847. Let j be (0/1)/(-1 - 1). Let n = j - g. Calculate the least common multiple of 27 and n.
297
Let j(r) = 4*r**3 - 60*r**2 + 14*r + 32. Calculate the smallest common multiple of j(15) and 14/8 - 8/(-32).
242
Suppose 9*n + 2462 - 7682 = 0. Let l be 64/(-30) - -2 - n/150. Calculate the least common multiple of 2 - -1 - (-9 + (l - 2)) and 6.
18
Let h(o) = o + 1. What is the least common multiple of 8 - (2/(-10))/((-29)/(-2755)) and h(4)?
135
Let t be 1 + (-4)/3 - 1515/45. Calculate the lowest common multiple of 20 and (-16)/(-2)*t/(-17).
80
Let r = 53973/1160 - 1018/29. Let v = -81/8 + r. What is the common denominator of v and -65/62?
310
Let b(t) = t**3 - 6*t**2 + 3*t - 28. Let m be b(6). Calculate the smallest common multiple of 9 and ((-12)/(-10))/(-4*m/900).
27
Find the common denominator of -7/136 and 5348/(-8208) - 8/(-76).
3672
Suppose 7 - 25 = -p. Suppose -104*z + 698298 - 688938 = 0. What is the smallest common multiple of p and z?
90
Let v = -7485851 + 2155929169/288. Let w = v + -233/32. Calculate the common denominator of (6/8)/((-60)/88) and w.
90
Suppose 5*x = 2*a + 845, 3*a - 481 = -3*x - a. Let n = -49588 + 49597. What is the least common multiple of x and n?
1503
Suppose -47*v + 12 = -43*v. Suppose 11 = v*a - 10. Suppose -2*n + 45 = a*n. Calculate the least common multiple of n and 41.
205
Let u = -291 + 285. Let j(w) = -w**3 - 5*w**2 + 3*w - 8. What is the smallest common multiple of j(u) and 3?
30
Suppose 17*l = 13*l + 2*a + 186, -3*a + 29 = l. What is the lowest common multiple of 5082 and l?
10164
Let g be 10/(-45) - (-14311)/9. Let d = -1597 + g. Let b = 7399/12 - 1229/2. What is the common denominator of b and d?
36
Let x = 1251 - 400319/320. Find the common denominator of x and 29/352.
3520
Suppose -19 + 10 = 3*h - 3*c, -7 = -c. Calculate the lowest common multiple of h and 361.
1444
Let b = 12061 + -1435298/119. Let l = 12947/4284 + b. Find the common denominator of -1/15 and l.
180
Let b = -305801 + 2642120519/8640. Find the common denominator of -91/90 and b.
8640
Let k be (-2 - 0) + 10/(-2). Let d = -1319 - -6569/5. Find the common denominator of d and 2/k + (-1642)/84.
30
Let r be (-292)/(-80)*(-590)/820. Let z = 147/40 + r. What is the common denominator of 67/16 and z?
656
Suppose -7*g + 9*g = 3*y - 1046, 5*g + 3*y + 2615 = 0. Let r = 1108 + g. Calculate the common denominator of 43/3 and r/(-36)*-2*1/9.
18
Find the common denominator of (-41)/(-144) + -7*(-10)/140 and 65/108.
432
Suppose -t - 3*t + 3*u + 2595 = 0, -5*t - u + 3239 = 0. Suppose 27*d - t = 15*d. Calculate the least common multiple of 4 and d.
108
Let j = -4 + 143. Let a(n) = 1119*n + 3364. What is the lowest common multiple of j and a(-3)?
973
Let g = -1/74 + 4003/518. Calculate the common denominator of g and (-22713)/(-2938)*2/(-15).
455
Let q = -1/316 + 5067/3476. What is the common denominator of q and 1769/(-732)*3/(-2)?
88
Suppose 0 = 10*z - 7*z - 27. Let r(b) = -2*b**2 + 40*b + 13. Calculate the lowest common multiple of r(20) and z.
117
Suppose -5*x + 4*o = -3804, 5*x - o + 484 = 4270. Calculate the least common multiple of x and 14.
756
Let r = 31 - 38. Let a be r/(-3)*2*90. What is the common denominator of (6/4)/(a/1700) and 85/22?
154
Let t = -69 - -64. What is the common denominator of 41/4 and t/(-15) - 1/(498/409)?
332
Let f = 130 - 63. Let b = f - 76. Find the common denominator of (8/(-36))/(b/(-48)) and -121/18.
54
Let x = 128570/121 + -11690/11. What is the common denominator of x and 6 + (-19922)/1540 + 7?
1210
Let d = 5595 + -134261/24. Calculate the common denominator of d and -17/2308.
13848
Let j = -745 - -2247. Let v = j - 14979/10. Let z = 12620/3 - 16867/4. Find the common denominator of z and v.
60
Let n = 2/1159237 + 33614063/2208346485. Calculate the common denominator of -53/20 and n.
7620
Let f be 2/(384/246184)*2/(-12). Let r = 1952/9 + f. Calculate the common denominator of 85/468 and r.
1872
Suppose -r - 3*s = 2062 + 715, -5*s = 3*r + 8335. Let l be (9 + (-963)/42)*(-4985)/(-25). Let c = r - l. Find the common denominator of c and -91/20.
140
Let q(i) = 2 - 4*i**3 - 1 + 25*i**2 - 5*i + 4. Suppose -4*f - 2*g + 7 = -5, -4*f - 4*g + 8 = 0. Calculate the 