 - a. What is the common denominator of y and -37/4?
12
Suppose -5*z = -153 - 157. Let y = -42 + z. What is the least common multiple of 46 and y?
460
Find the common denominator of 57/26 and (1/72*-2)/((-6)/300).
234
Suppose -4*n - n = -80. Suppose -5*t = -u + 33, -3*u + 1 = -u + 3*t. What is the least common multiple of u and n?
16
Suppose 171*g = 178*g - 140. What is the smallest common multiple of g and 664?
3320
Suppose 4*l - l - 5*z = 433, 0 = l - 5*z - 151. Find the common denominator of 20/7 and -8*(-6)/(-180)*l/(-8).
70
Let v(a) = -4*a**3 - 6*a**2 - 13*a - 8. Let f be v(-9). Let g = 12644/5 - f. Calculate the common denominator of g and 29/7.
35
Suppose -1189*g = -1185*g - 48. Calculate the least common multiple of 638 and g.
3828
Suppose -9*x + 336 + 501 = 0. Let h = x + -92. Calculate the lowest common multiple of h and 119.
119
Suppose 5 = -2*p + 15. Find the common denominator of -35/6 and (-8749)/(-390) + (-3)/p.
6
Let g = 49726 + -2784571/56. Calculate the common denominator of 85/636 and g.
8904
Let p be (-2)/(-4)*(-12 + 336). Suppose p = 12*l + 42. Let v(t) = t**3 + 3*t**2 - 3*t + 1. Calculate the smallest common multiple of v(-3) and l.
10
Let v = 316 - 476. Let y be ((-30)/(-20))/((-3)/v). Find the common denominator of (-12)/y - (-6)/(-15) and 61/14.
140
Let w(o) = -o - 3. Suppose 0 = -102*p + 66*p + 144. Calculate the smallest common multiple of p and w(-8).
20
Let s = -401709691553/58075966560 - 5533/7031840. Let z be 2/(-7) + 16581/57813. Let v = z + s. Find the common denominator of -71/18 and v.
36
Let x(v) = v**2 - 12*v + 26. Suppose 4*f = 6*f - 10. Calculate the smallest common multiple of f and x(10).
30
Suppose 4*q = -2*r - r + 1914, -3*q = -9. What is the smallest common multiple of 8 and r?
2536
Suppose -4 = y - 2*y. Suppose -5*q + 13 = m, 8*q - y = 4*q. Let x(j) = j**3 - 20*j**2 - 21*j + 11. Calculate the smallest common multiple of m and x(21).
88
Let h(o) = -o**3 - 6*o**2 - 4*o - 1. Let c be h(-5). Calculate the lowest common multiple of c/9 - 16/(-6) and 48/(-9)*(-3)/2.
8
Let t(v) = -6*v + 12. Let s be (10/(-8))/(3/(-12)). Calculate the lowest common multiple of t(0) and (3 + 2)*8/s.
24
Calculate the smallest common multiple of 1 + (25/1 - 0) and (-5)/(20/(-56)) + 6/1.
260
Let p = 52253/12 + -4345. Calculate the common denominator of p and 125/6.
12
Find the common denominator of -109/18 and (72/(-540))/(16/5).
72
Suppose 5*q + 512 = 5*v - 438, 0 = 3*v + 2*q - 550. Calculate the common denominator of (4/(-12))/(26/v) and -32.
13
Let u = -40 - -42. Find the common denominator of -71/8 and u/((-1)/(345/40)).
8
Calculate the common denominator of 97*1*3/156 and (48/(-64))/((-5)/((-10)/7)).
364
Find the common denominator of ((-88)/70)/1*-5 - 7 and -71/21.
21
Let x(q) be the first derivative of -11 - 4*q + 1/4*q**4 + 4/3*q**3 - q**2. Calculate the lowest common multiple of 40 and x(-2).
40
Let x = 38137/12 + -3180. What is the common denominator of x and -73/194?
1164
Let p = -162/13 - -295/104. Calculate the common denominator of p and -35/54.
216
Let u(d) = d**3 - 40*d**2 + 84*d - 161. Calculate the least common multiple of 65 and u(38).
715
Let t(s) = 3*s**2 - 3*s - 2. Let g be t(-2). Suppose q = -3*q + g. Calculate the least common multiple of 8 and q.
8
Let d = 52 - 10. Suppose -2*k - d = -6*k - 2*i, -2*i = 2. What is the smallest common multiple of k and (2 + -5 - -2 - -6) + -1?
44
Let m = 95 + -50. Suppose -m = -5*w + v, -2*v + 5 = -v. What is the lowest common multiple of 21 and w?
210
Suppose 0 = 124*g - 140*g + 2816. What is the smallest common multiple of 9 and g?
1584
Suppose -6 + 11 = d. Suppose -d*c + 0*c = -25, -3*u + 5*c = -5. Let q(s) = s**3 + 2*s**2 - 4*s. Calculate the lowest common multiple of u and q(-3).
30
Let j be -2*7/(-4)*6. Let q = j + -16. Suppose q*c + 63 = 2*c. Find the common denominator of 33/8 and c.
8
Suppose y - 4*y = 15. What is the lowest common multiple of y/(1*(-1 + -4)) and 8?
8
Suppose 468 = -64*j + 61*j. Let g = j - -302. Calculate the lowest common multiple of g and 22.
1606
Suppose -3*k = -3*t - 51, 3*k + 2*t = -k + 86. Let z be 10/(-4)*(-16)/k. Calculate the least common multiple of -2 + (z/2 - -10) and 9.
9
Let p = 70/987634621 - 588757648574909/135345448461840. Let x = 1/27408 + p. Let n = x + -3/20. Find the common denominator of n and 67/18.
18
Let b = 3208/3 + -256433/240. What is the common denominator of 73/32 and b?
160
Suppose 2*z = -4*z + 48. Let x = -24 + -6. Let n = x - -36. What is the least common multiple of z and n?
24
Suppose 0*y - 516890 = 2*y. Let w be (6/(-100))/(396/y). Let u = -728/15 + w. Calculate the common denominator of u and -57/16.
16
Let x = 39036 - 23460626/601. Let z = x - -76027/18030. Find the common denominator of z and 67/8.
120
Let x be 2/(-1) - 785554/(-393038). Let j = x - -52892898073/4323418. Let i = j + -12231. Find the common denominator of -101/6 and i.
66
Let b = 3 - 25/8. Calculate the common denominator of b and (72/294)/((-6)/(-189)).
56
Suppose -3*j + 43 = 2*d - d, 0 = 5*j - d - 69. Calculate the smallest common multiple of j + 5/(25/(-15)) and 5.
55
Calculate the common denominator of 103/36 and ((-393)/(-48) + 0)*(-33)/(-297).
144
Let w(q) = 4*q + 42. What is the lowest common multiple of 35 and w(7)?
70
Let t be (-1297)/2 + 2 + -2. Let k = t - -12867/20. What is the common denominator of -1 + 0 - (-292)/(-8) and k?
20
Let z = -4301 - -77399/18. Let u = 15 + -26. What is the common denominator of z and (6/(-20))/(u/(-35))?
198
Suppose 0*c + 60 = 2*c. What is the common denominator of c and (-26163)/4374 - 6/(-1)?
54
Let g(l) = 2*l**2 + 25*l + 47. What is the smallest common multiple of 8 and g(-13)?
120
Let y = 2407 + -1956. Calculate the lowest common multiple of y and 41.
451
Let u(l) = l**2 + 8*l - 5. Let p be u(-4). What is the common denominator of (-949)/84 - (-6)/p and -42?
12
Find the common denominator of 83/12 and (-47)/(-42)*(-1 + -2).
84
Find the common denominator of ((-6)/21)/((-12)/351) and (-319)/24 + (0 - 2/(-3)).
56
Suppose 2*n = -2*j + 1 - 5, -5*n + 5 = 0. What is the common denominator of 47/(-8)*1 + (-1 - j) and -103/20?
40
Let n(o) = -2 - 2*o - 2*o**2 - 1 + 10*o + 3*o. Let f be n(5). Suppose -2*i = k - 18, f*k - 27 = 2*i - 5*i. What is the lowest common multiple of i and 11?
99
Let t(d) = 15*d + 147. What is the lowest common multiple of 1 and t(-8)?
27
Let q(l) be the third derivative of -1/60*l**5 + 6*l**2 + 0 + 1/3*l**4 + 1/3*l**3 + 0*l. Calculate the smallest common multiple of q(8) and 8.
8
Suppose 4*o + 30 = 2*a - o, -8 = 2*o. Let d(l) = l**2 - 20*l + 8. Let p be d(20). What is the common denominator of -79/2 and (-73)/(a/(5/p))?
8
Suppose 4*x + 0*x - 64 = 0. Calculate the least common multiple of x and 26.
208
Let d = 36363546931403/49887 + -728918294. Let o = -5/241 + d. Let p = o + 3265/3312. What is the common denominator of p and -67/20?
80
Let t = -29 + 37. Calculate the common denominator of 4/27*((-58)/t - 0) and -71/21.
189
Let w = 3/250 + 3991/750. What is the common denominator of 37/64 and w?
192
Let b = -709 - 95. Let z be (b/(-500))/((-4)/(-30)). Let k = -594/25 + z. Find the common denominator of k and -97/22.
110
Find the common denominator of 53/16 and 1/44*(0 - 52/(-8)).
176
Let q = -1488633547/34 + 43788749. Let x = q - 5409. Find the common denominator of (-4)/(-2) + (-75)/66 and x.
374
What is the common denominator of -13/2 and (52616/3096 - 17)*(-618)/(-8)?
258
Calculate the smallest common multiple of 1 - (256/(-4) + (-4)/(-2)) and 56.
504
Let t = -146381/79002 - -3/2926. Find the common denominator of 47/42 and t.
378
Let h(v) be the first derivative of -v**4/4 - 7*v**3/3 - 3*v**2/2 - 11*v - 17. What is the lowest common multiple of h(-7) and 1/((-76)/(-72) - 1)?
90
Let p = -20920265992038010237/1294314 + 16163207685335. Let d = -2/30817 + p. Find the common denominator of (4/56)/(4/(-148)) - -3 and d.
42
Let k = 1397/36 + -925/18. Suppose 0 = t - 4, 0 = 2*d - 5*t + t + 104. Calculate the common denominator of k and (-11)/d + (-58)/(-72).
36
Let u = -18/325 + 7903/31200. Calculate the common denominator of 83/160 and u.
480
Let q(m) = -m**2 + 2*m + 1. Let k be q(2). Let b(f) = 2*f**3 - f. Let o be b(k). Suppose 5*v - o - 34 = 0. What is the least common multiple