/32.
352
Let v = 16/63111807 - -914868644656/432378989757. Let t = 20/527 + v. Find the common denominator of t and 11/10.
130
Let j = -660/13 - -5963/130. Find the common denominator of j and 4/28 + (-9637)/(-184)*(-2)/(-14).
40
Let u be ((-339)/(-4))/(10 - -11). Let r = -4205/924 + u. What is the common denominator of r and 82/21?
231
Suppose 29*d - 4 = 28*d. Calculate the lowest common multiple of d and 44.
44
What is the smallest common multiple of 60/(-33) - -2 - 9658/(-121) and 8?
80
Suppose -5*d = 3*b - b - 24, 3*b - 5*d = -14. What is the common denominator of 1 + 2/80*62 and -1 + b + 103/48?
240
Let y(m) = 19*m - 160. Let x = -4 - -6. What is the least common multiple of x and y(11)?
98
Let q be (3/12*2)/(3/(-294)). What is the lowest common multiple of 6 and (2 - -1)/((-21)/q)?
42
Find the common denominator of (19/10 - 2)/(27/(-42)) and 64/105.
315
Let a = 3149/1116 + 59/186. Calculate the common denominator of a and 89/72.
72
Suppose y = l + 6 - 18, -5*y - 36 = -2*l. Calculate the smallest common multiple of 5*((-96)/(-20))/l and 3.
3
Let u(j) = -12*j - 1. Let q(m) = m**3 - 14*m**2 - 98*m - 5. What is the smallest common multiple of u(-1) and q(-5)?
110
Let b = -112910/39 - -32227/6. Let k = -2477 + b. Let z = 1144 - 9167/8. What is the common denominator of z and k?
104
Let m = 6274/9 - 693. Suppose 3*x + 74 = -5*a, 0 = -a + 5*x - 17 - 9. What is the common denominator of m and a?
9
Let h be (-129*(-1)/1)/1. Suppose 10*x - h = 31. Let v(g) = g**2 + g - 4. What is the lowest common multiple of x and v(-3)?
16
Suppose -5*s + 3*d = -199, -3*s + 5*s - 73 = -d. Let f = 1964 - 1946. What is the lowest common multiple of f and s?
342
Let d be (-232)/(-24) + (-2)/3. Let m = 93/2 + -149/4. Calculate the common denominator of m and (-10)/d*(-8 - -5).
12
Let j = 4862 + -272239/56. Calculate the common denominator of -7/3 and j.
168
Let w = -96476/55935 - -17/1243. Find the common denominator of -125/288 and w.
1440
Suppose -3*i + 2*s + 6 = -3*s, 0 = -5*i + 2*s + 10. Suppose -2 = c - i*c. Calculate the least common multiple of (c - -30)/4 + 4 and 8.
24
Find the common denominator of 16/(-24) + (-27)/2 and (-5629)/910 + 4/10.
42
Let r(n) = -n**2 + 8*n. Suppose 0*o - o + 3*k - 23 = 0, -k = -o - 13. Calculate the lowest common multiple of r(7) and ((-6)/(-9))/(o/(-12)).
7
Suppose -5*g = 4*d - 1364, 228 = g - d - 43. Calculate the least common multiple of 9 and g.
2448
Let n be -3*((-30)/9 + 3). Calculate the common denominator of (178/6)/(48/(-9)) and 1 - n - 66/72.
48
Let r(o) = -o. Let u(f) = 4*f - 8. Let a(n) = -r(n) + u(n). What is the smallest common multiple of a(6) and 12?
132
Let w(g) = -206*g**2 + 3*g + 8. Let s be w(4). What is the common denominator of -22 and ((-2)/5)/(s/1060 + 3)?
12
Let g = 47 - 66. Let c = g + 27. Calculate the smallest common multiple of c and 4.
8
Let b(t) = -4*t + 6. Let f be b(6). Let k be (8/8)/(f/(-251411)). Let d = 13972 - k. What is the common denominator of 97/4 and d?
36
Suppose -13*c - 12 = -16*c. Suppose -4*n + 2*n + 18 = 0. What is the least common multiple of c and n?
36
Let g = 2011/2 + -1041. Let b be 2/(-6) - (-2654)/7968. Let f = 68729/19920 + b. What is the common denominator of f and g?
20
Let y(r) = 7*r**2 - 8*r - 22. Calculate the least common multiple of y(-3) and 143.
715
Let h = 301 - 79. What is the least common multiple of h and 16?
1776
Let c = 31883/22 - 1446. Let a be (2/716)/(8/6798). Let v = -1/716 - a. Calculate the common denominator of v and c.
88
Suppose -3*j + 2964 + 1467 = 5*z, 2*z = j + 1779. What is the least common multiple of z and 16?
1776
Let k(t) = t**2 - t + 2. Let w be k(2). Suppose -36 = -w*g - 2*s, -3*s = 3*g - 31 + 7. Let n = -31 + 41. Calculate the least common multiple of g and n.
10
Let j(k) = 4*k**2 - 2*k + 3. Let h(f) = -2*f**2 + f - 2. Let u(b) = -7*h(b) - 4*j(b). Let i be u(2). Find the common denominator of 7/20 and ((-73)/i)/(1 - 0).
20
Let k = 2251745/61 + -36913. Find the common denominator of 45/11 and k.
671
Suppose 0 = 6*r - 204 + 72. Suppose p + 8 = w - p, 5*w - 4*p - 52 = 0. Calculate the least common multiple of w and r.
132
Suppose 4*z + 398 = 5*m - 0*m, 3*z - m = -293. Let u = z + 111. Calculate the lowest common multiple of u and 12.
84
Let b be ((-5766068)/(-8) - -3)*(-1)/18. Let o = -40039 - b. What is the common denominator of 143/36 and o?
36
Suppose 5*f + 4*j + 8 = -18, -25 = 5*f + 5*j. What is the common denominator of 1595/420 - f/21 and 49/12?
12
Let n = -1/35 - 1573/70. Let u be 751*2/(-12) - 1. Let o = -138 - u. Find the common denominator of n and o.
6
Suppose 0 = -4*h - 15150 + 1982. Let r = 3006650/3 - 48264719/48. Let k = r - h. Find the common denominator of -65/2 and k.
16
Calculate the common denominator of (-564)/108 + 5 - 1682/(-360) and -6/7.
140
Suppose 5*o - 51 = -4*l + 3*l, -5*o = 5. Calculate the least common multiple of l and 20.
280
Let q(v) = -2 + 2*v - 5 + v**2 + 4*v - 4. Let r be q(-8). Suppose 48 = r*o + 4*p, -5*p - 5 = -4*o + 17. Calculate the lowest common multiple of o and 14.
56
Suppose 9*t - 22 = -67. What is the least common multiple of (-23 - t)/(1 - 7/4) and 14?
168
Let v be -47*((-90)/87)/(-3). Let b = 6643/290 + v. Let a = -7/114 + 5507/570. Calculate the common denominator of a and b.
10
Suppose -r = -s - 3*r + 8, 52 = 2*s - 5*r. What is the least common multiple of s and 546?
4368
Let i be ((-4)/(-6))/((-4)/(-144)). Suppose -h - i = -5*h. Suppose 2*q = h*q + 2*v + 2, -v - 15 = -5*q. Calculate the least common multiple of 11 and q.
22
Let m = 3372 - 13553/4. What is the common denominator of (-159)/(-190) - 6/10 and m?
76
Let u = -146 - -149. What is the smallest common multiple of 24 and u?
24
Suppose 8*w - 15 - 57 = 0. Calculate the least common multiple of 127 and w.
1143
Let y(o) = o**2 + 10*o + 16. Let l be y(-9). Suppose 2*w = l*w - 10. Calculate the smallest common multiple of 31 and w.
62
Suppose -3 = -a + 1. Let b be ((-14)/a)/(2/12). Calculate the least common multiple of 7/b - (-38)/6 and 8.
24
Let g(c) = c**2 + 20*c + 94. Calculate the least common multiple of (1 + 0)/(6/90) and g(-13).
15
Calculate the common denominator of -44/91 and (-2)/4 - 4*(-714)/(-5824).
728
Let v(t) = t**3 + 3*t**2 + 3*t - 7. Let l be v(-6). What is the common denominator of 9/8 and (l/28 - -5)/((-1)/6)?
8
Let i = -317/102 - 188/17. Calculate the common denominator of -1 + (-102)/(-16) + 0 and i.
24
Let i(k) be the second derivative of -7*k**3/6 + 10*k**2 - 2*k. What is the smallest common multiple of i(0) and 2?
20
Suppose -3*g + y = -2, -4 = -4*g + 5*y - 5. Find the common denominator of -41/50 and g.
50
Suppose 21*i - 421 = -253. What is the lowest common multiple of i and 22?
88
Find the common denominator of -79/10 and 2/(-5) + (1551/(-252))/(-11).
420
Let x(c) = -9*c - 45. Let w be x(-13). Calculate the common denominator of 438/40*(-4)/(-6) and ((-3)/4)/(w/(-2032)).
30
Suppose -19 = z - 5*v, -5*z - 9 = 2*v - 22. Let y = z - -5. Calculate the smallest common multiple of y and 33.
66
Let b = 138689/18 + -7708. Find the common denominator of b and 91/62.
558
Calculate the lowest common multiple of 16 and -3 + (-2)/5*(-6660)/72.
272
Let i = 6707/130 - 763/13. Find the common denominator of i and -8/87.
870
Let v = 8 - 5. Let r be ((-40)/v)/((-3)/(-9)). Find the common denominator of 1 - 1/r*46 and 97/22.
220
Let z = -456071/30 + 15205. Calculate the common denominator of z and -56/201.
2010
Let h(b) = 16*b + 2. Let n be h(-3). Let m = -774 - -749. Let l = m - n. What is the smallest common multiple of 5 and l?
105
Let b(q) = 2*q**2 - 5*q + 19. Calculate the smallest common multiple of b(6) and 2.
122
Calculate the common denominator of -17/6 and ((-278)/(-32))/(38/(1064/(-2310))).
1320
Let q be (756/57)/6*2. Let g = q + 1469/76. What is the common denominator of 34/9 and g?
36
Calculate the common denominator of -67/108 and ((-26)/12)/(48/(-33)).
864
What is the least common multiple of ((-1139)/(-268))/(1/44) and 3?
561
Let f = 41105/3 - 13207. Let b = -513 + f. What is the common denominator of 0 + (-2)/((-44)/30) and b?
33
Suppose -3*z = -0 - 6. Suppose i = -z*i + 39. Suppose -8 = -5*l - 2*m + 18, -3*m = l - i. Calculate the least common multiple of l and 6.
12
Let m be (4 + (-112)/40)/((-2)/10). Let h(d) =