
Suppose d = 38*p - 42*p + 222, -p - 601 = -3*d. Calculate the common denominator of (5/((-160)/d))/((-15)/(-4)) and -91/30.
60
Suppose -19567 = 24*t - 36548 - 34763. What is the least common multiple of t and 32?
17248
Let f = 255674/35 + -7305. Calculate the common denominator of 64/1715 and f.
1715
Let v = 6924 - -15037. Let w = 1976351/90 - v. What is the common denominator of -43/30 and w?
90
Let g = -1/443126 + 2658769/5760638. Let b = -7/60 - -2069/1020. Find the common denominator of b and g.
442
Let h = 184649 + -317791. Let s be 1/4*h/(-6). Let f = -5553 + s. Find the common denominator of 107/34 and f.
204
Let f = 15/91 - -4279/1092. Let h be (42682*111/468)/(18/(-81)). Let d = h + 45553. Find the common denominator of f and d.
156
Suppose -f + 24 = 6. Suppose 0 = -358*q + 83581 - 27682 + 23577. Calculate the smallest common multiple of q and f.
666
Let m be 10*12/(-24) + 1 + -1. What is the common denominator of -71/15 and 217/(-5460)*m - (-9)/(-12)?
390
Suppose 33 = 3*v - 0*v. Suppose 21*f + 16 = 394. What is the lowest common multiple of v and f?
198
Let r = 73/4 - 173/12. Let x = -55 + 51. Calculate the common denominator of 1105/(-208) - (-1)/((-2)/x) and r.
48
Calculate the common denominator of 11 and 0 + (-50)/150 + (1 - 431/300).
100
Let c = 58307/6568 - 2/821. Find the common denominator of -32/343 and c.
2744
Suppose 3*c = -0 + 6. Suppose -21 = -4*b - g, 2*b - 2*g = -0*g - c. Calculate the least common multiple of ((-9)/6)/(1*(-9)/42) and b.
28
Let b = -66 - -336/5. Suppose 10*n - 7125 = 9*n. Let j = n + -71359/10. Find the common denominator of j and b.
10
Let h be (12/(-9))/((-3)/((-9)/(-2))). Let t = h - 7. Calculate the common denominator of (6/t)/((-108)/945) and -49/10.
10
Let g = -1169861/30 - -38991. Let y = -1/1461 - -39941/10227. What is the common denominator of g and y?
210
Suppose -3*q - 3*c - 7287 = -0*q, 3*q = 3*c - 7281. Let s = -9886965/4036 + -561/1009. Let r = q - s. Find the common denominator of r and -35/31.
124
Let a = 941671/2068770 - 23/6269. What is the common denominator of a and -74/27?
2970
Let x = 5020 - 4986. What is the smallest common multiple of x and 5?
170
Let y(r) = 5*r - 83. Let j be y(15). Calculate the least common multiple of (-1)/(-2)*(-32)/(-2) and ((-3)/12)/(j/160).
40
Let m = 5709 + -5643. What is the smallest common multiple of m and 33?
66
Suppose 18*y - 895 - 1625 = 0. Calculate the common denominator of ((-4)/y)/(90/(-375)) and -47/4.
84
Let u be (-26)/(-2) - 3 - 2. Suppose 3*z - 8 = g, 3*g = -g - u. Suppose -20 = -2*r - z. What is the smallest common multiple of r and 6?
18
What is the least common multiple of ((-66)/44 + 47)*(-24)/(-14) and 832?
2496
Let w be (-384)/(15/5)*-1. Suppose 0 = 44*o - 48*o + w. What is the smallest common multiple of 32 and o?
32
Suppose -4 = -7*q + 6*q - o, 4*q - 3*o + 5 = 0. Find the common denominator of (-6 - q - -5) + 133/18 and 61/12.
36
Let j be -2 + (-147801)/18 + -2. Let n = 8234 + j. Let o = -4/5 - -93/110. Calculate the common denominator of o and n.
66
Suppose -61*t + 2*l + 361 = -60*t, 5*l + 1444 = 4*t. Calculate the least common multiple of 13 and t.
4693
Let c(s) = -2*s + 24. Let u be c(13). Let t be (-171)/(-7) - (u - 2)/28. Let m = t - 6261/238. Calculate the common denominator of m and -99/4.
68
Let p be -2 - (-81059)/3876 - (-2)/17. Let a = p + -246/19. Calculate the common denominator of a and -27/20.
60
What is the common denominator of 59/1020 and 12383/88740*(-12)/(-42)?
3060
Let p(b) = 6*b**2 - 2*b + 1. Suppose -2*o = 5*l - o, 2*l + 2*o = -8. Let i be p(l). What is the common denominator of (7/i)/(-3 + 615/175) and -99/4?
36
Let v = 24 - -56. Suppose -8*o - 185*f + 188*f = -228, 2*f + 112 = 4*o. What is the least common multiple of v and o?
240
Calculate the least common multiple of (-37341)/(-486) - (-2)/12 and 43.
3311
Let a(i) = i**3 - 10*i**2 + 17*i - 5. Let x be a(8). Suppose x = -d + 2. Find the common denominator of 93/22 and d/10 - 2/(-3).
330
Let w = -11525 + 11555. What is the lowest common multiple of w and 423?
4230
Let m = -316535/164 + 1930. Find the common denominator of m and (-3)/((-9)/(-15)) - 6/(-4).
164
Let v = 25612/15 + -1707. What is the common denominator of v and 185/1386?
6930
Let x = 191 + -191. Suppose -35*s + 53*s - 324 = x. What is the lowest common multiple of 30 and s?
90
Let w be 27/6*(-68)/(-6). Find the common denominator of (w/8)/3*5 and (4/54)/(316/(-25122)).
72
Let i be (4038/5)/(1 + (-30)/12). Suppose 2*f = -2*b - 1100, -3*f = 7*b - 2*b + 2742. Let z = b - i. Find the common denominator of z and -61/2.
10
Let g(s) be the second derivative of s**3/2 + 36*s**2 - 35*s + 2. What is the lowest common multiple of g(-20) and 156?
156
Suppose 2*k + 1999 + 153 = 4*d, 0 = 3*d + 5*k - 1640. Let g(z) = -2*z**3 - 31*z**2 + 57*z + 114. What is the lowest common multiple of d and g(-17)?
540
Suppose 7*r = 5*n + 20462, -5*n + 14650 = 30*r - 25*r. What is the lowest common multiple of r and 266?
2926
Let m = 36184/55 + -3274/5. Calculate the common denominator of 59/143 and m.
143
Let x be (-13)/(26/4) + 59910/28. Let d = -2139 + x. What is the common denominator of d and 89/236?
1652
Let w(m) = 16*m**2 + 13*m + 8. Suppose -20 = -3*a - a. Calculate the lowest common multiple of w(-1) and a.
55
Suppose -70*a = -216*a + 16352. Calculate the lowest common multiple of a and 1904.
1904
Suppose -75*i + 30*i = -4320. What is the smallest common multiple of 448 and i?
1344
Let r = 1191557/66 - 18053. What is the common denominator of r and 25/606?
6666
Let h = -127/38 - -8491/494. Let g = h - 7963/546. Find the common denominator of 95/12 and g.
84
Let z = 148372 - 1690550569/11394. Let u = z - -603931/558306. What is the common denominator of u and -11/56?
392
What is the common denominator of (23/(-3) + 1)/((-9702)/49) and -82/405?
4455
Suppose -c = -3*x + 5, 2*x + 3*x - c - 9 = 0. Suppose -x*m - 8 = 10. Calculate the least common multiple of 11 and 7/((-21)/12) - m.
55
Suppose -3*y = 2*j - 1183, y - 3*j = 2*y - 385. Let t = y - 257. What is the lowest common multiple of 9 and t?
1260
Let v(k) = -12*k + 62. Let r be v(-15). Calculate the lowest common multiple of 4 and r/34 - 6/51.
28
Suppose -2*n - 18 = -0*n. Let z be 32/(-144) - 20/n. Suppose -3*a = -z*a + 3. Find the common denominator of 25/13 and a.
13
Let q be 2/20*5*78. Suppose 24 = t + q. What is the common denominator of (-5 + -4)/(t/16) and -16/7?
35
Calculate the lowest common multiple of 65 and (-1)/19 - (-1219437)/3933.
4030
Let y(s) = -4*s + 54. Let p(z) = -1. Let j(c) = p(c) - y(c). Suppose 9*a - 7 - 150 = -13. Calculate the lowest common multiple of 4 and j(a).
36
Let v = -6/3637 - -243859/109110. Find the common denominator of ((-14)/15)/((-22)/20) and v.
330
Suppose 8*v + 720 = 53*v. Suppose 0 = o - 4 - 42. What is the least common multiple of o and v?
368
Let x(a) = -9*a + 152. Let k(c) = c**3 + 5*c**2 - 4*c + 20. Let q be k(-6). What is the least common multiple of x(q) and 4?
80
Suppose -2*a = -2*f - 26, -50 = -2*a - 2*a + 2*f. Suppose -3*s + 324 = -3*n, 3*s - a = -s. What is the common denominator of 35/9 and 30/n - (-626)/231?
99
Let r = 48043 - 197937067/4120. What is the common denominator of r and 65/2472?
12360
Let i = 2089 + -2059. What is the smallest common multiple of i and 1878?
9390
Let t = 17239622/365 + -47232. What is the common denominator of t and 17/55?
4015
Suppose r = 4*c - 93, c = 5*r - 2*r + 26. Suppose -c*i + 35 = -1874. What is the lowest common multiple of i and 7?
581
Let n be -12 + 15 + -4 + 385. Suppose 50*y = 18*y + n. What is the smallest common multiple of y and 12?
12
Let i = -4851689/130 - -37321. Calculate the common denominator of 49/312 and i.
1560
Let d = 134 + -314. Let u = 353 + d. What is the lowest common multiple of u and 10?
1730
Calculate the lowest common multiple of (-3740)/4*(1 + 27/(-15)) and 36.
6732
Suppose 81*g - 80*g = 24. Calculate the common denominator of 17/106 and 1 + 2 - (1330/g)/7.
636
Suppose 7 = -3*q + 3*l - 5*l, 0 = 3*q - 3*l - 18. Let m = 5 - q. Let j = 10522 - 10490. Calculate the least common multiple of j and m.
32
Let w = 1735 + -15659/9. Suppose 5*f = 3*b - 0*b + 78, -3*f + 50 = -5*b. Calculate the common denominator of (7/f)/(3/(495/10)) and w.
90
Let v = 28 + -