90
Let l be ((-105)/(-33) + -3)*(-1710)/16. Let s = -156/11 - l. Find the common denominator of 91/48 and s.
48
Let l be (-14)/21 - (-16)/6. Suppose 24 = l*t - 5*t. Find the common denominator of 95/6 and 505/(-28)*t/20.
42
Let h = -1449 - -4420/3. Find the common denominator of h and 2/8 + (-314)/72.
9
Let o be 3 - 10 - 32/(-4). Let a(x) = 3*x + 3. Let w be a(-2). Find the common denominator of -55/3 and w/(-18)*(-85)/o.
6
Let t = -11 - -19. Let n = -1201 - -1215. What is the smallest common multiple of t and n?
56
Let c = -10 - 22. What is the lowest common multiple of 2/4 - (-117)/6 and -2 + 1/((-2)/c)?
140
Suppose 4*c = c - 60. Let d = c - -21. Let k(h) = 10*h**3 + 2*h**2 - 1. Calculate the least common multiple of k(d) and 5.
55
Suppose w - 18 + 4 = 0. Calculate the lowest common multiple of w and -20*(2/(-4))/(17 + -16).
70
Suppose -2*b + 27 = -15. Calculate the smallest common multiple of b and 35.
105
Let q = 1107 + -900. What is the smallest common multiple of q and 72?
1656
Calculate the lowest common multiple of (15 - 10) + -7 + 7 and 45.
45
Let i = 1150561/130 + -44257/5. What is the common denominator of 12/5 and i?
130
Suppose -3*h = -10*h - 21. Calculate the common denominator of -4/3 and 2 - (h/(-54))/(4/(-64)).
9
Let p = 117769533719/1464 - 80443674. Let s = p - -54/61. Calculate the common denominator of -43/21 and s.
168
Let z = -9/28 - -129/140. Calculate the common denominator of z and 46/7.
35
Suppose -50 - 134 = -23*i. What is the smallest common multiple of 10 and i?
40
Suppose 2*d - 94 = d + 4*f, 3*d - 3*f = 300. What is the smallest common multiple of 6 and d?
102
Let p = -3 + 7. Suppose -3*w - 5 = -p*l, l = -4*l - w + 11. Find the common denominator of (-142)/(-20) - (-4 + l) and -61/12.
60
Let m = 212 + -147. What is the lowest common multiple of m and 130?
130
Let u(h) = -h**2 + 10*h - 12. Let d be u(9). Let a be 3/(-9)*27/d. What is the least common multiple of (180/(-50))/(a/(-10)) and 34?
204
Suppose 3*o = o + 6. Calculate the smallest common multiple of 28 and o.
84
Suppose -51 = 23*n + 133. Let w(u) = 2*u + 20. Suppose 0 = r - 4*r + 48. Calculate the smallest common multiple of r and w(n).
16
Find the common denominator of 1*21/35 - 206/(-490) and 32/21.
147
Suppose 0 = 2*u - 127 + 1. Let i be 3*(-7)/(u/(-6)). Suppose -2*l = -i*k - 10, 8 = 2*l - 3*k - 3. Calculate the smallest common multiple of l and 14.
28
What is the common denominator of (3/(-150))/(417/415 - 1) and 71/40?
40
Let i(d) = 845*d**2 + 2. Let z be i(1). Find the common denominator of 45/68 and z/(-88) + (-2)/(-4).
136
Suppose 5*f = 5*y + 95, 0 = 2*f + y - 20 - 21. What is the lowest common multiple of 4 and f?
20
Suppose -10 = 2*g, 3*z + 8*g - 11*g + 84 = 0. Suppose 134 = 3*i - 0*i - 2*b, 5*b = -3*i + 148. Let q = i - 17. Calculate the common denominator of q and z.
1
Let l(y) = y**2 + 9*y - 10. Let f be l(-10). Suppose f*x = -x - 16. Let j = 26 + x. Calculate the least common multiple of 12 and j.
60
Let l = -20863/10 + 2079. Suppose -5 = -0*v - v. What is the common denominator of v/(-20) + 59/(-6) and l?
60
Let r(k) = 17*k**3 + 4*k**2 - 2. Suppose 0 + 6 = -2*h. Let g be r(h). Let c = -871/2 - g. Find the common denominator of 97/16 and c.
16
Let f = 3/9776 + 116081/29328. Find the common denominator of (-500)/70*(-7)/(-9) and f.
72
Let q = 420 - 426. Suppose g + 3*g - 49 = y, 5*y = 15. Let m = q + g. Calculate the least common multiple of 2 and m.
14
Suppose -2*m - 18 = -0. Let a = m + 9. Suppose u - 4 - 5 = a. Calculate the least common multiple of u and 10.
90
Let f = 4601/2787 + -7175473/2185008. Let t = -8/147 + f. What is the common denominator of t and 25/12?
48
Let w(f) = -3*f. Let k be w(-2). Suppose -5*h + 0*h = 4*g - 41, 4*g = 2*h + k. Let x = -5 - -8. What is the smallest common multiple of h and x?
15
Suppose 2*y + 3*y - 4*j = -54, y - 3*j = -13. Find the common denominator of (-1)/(-2)*(-89)/y and 1/(-2)*(20/11 - 1).
220
Suppose 0 = 7*m - 5*m - 6. What is the smallest common multiple of m and 41 - ((-4)/18 + (-7)/9)?
42
Suppose 0 = 6*c - 2*c. Suppose c = s - 0*s + 1. Calculate the common denominator of 2/s - (-3)/(-42) and 43/24.
168
Let z = -40 + 64. Suppose s + 5*y - 4 = 0, -y = 3*s + 2*y - z. Let f = 14 + -8. What is the lowest common multiple of f and s?
18
Let q be ((-3595548776)/9120)/(2/2). Let z = q + 1182752/3. Let g = z + -94/19. What is the common denominator of g and -23/8?
40
Let v(y) be the third derivative of y**5/60 + 3*y**4/4 - 3*y**3/2 + 9*y**2. What is the lowest common multiple of 26 and v(-19)?
130
Let a be (24/4)/(6/(-28)). Let p = a - -111. What is the common denominator of (p*1)/(144/(-18)) and 22/5?
40
Suppose -o + 16 = 3*v, 0 = -0*v + v + 3*o - 8. Suppose -2*u - u = -2*m + 6, 61 = v*m + 4*u. What is the lowest common multiple of 6 and m?
18
What is the smallest common multiple of 166/8 - (-6)/(-8) and 20?
20
Find the common denominator of 137/12 and (-18309)/(-3366) + 1*-6.
132
Find the common denominator of (-8)/(-24) + (1149/(-180) - -4) and -145/42.
420
Suppose -3*i + 7 = 1. What is the lowest common multiple of (-1)/(4/(-44)*1) and i?
22
Let z be 262035/(-8680)*2/(-3). Let k = -656/31 + z. Calculate the common denominator of k and -56/3.
84
Let w(k) = 7*k + 226. Let g(d) = -d**2 - 8*d - 6. Calculate the least common multiple of g(-6) and w(-32).
6
Let p(q) = -7*q - 1. What is the lowest common multiple of p(-1) and 10?
30
Let j = -36 - -37. What is the common denominator of (-3 - (-116)/(-28))/j and 53/9?
63
Let z be (4/(-3))/((-10)/15). Let d be 1226/33 + z + -2. Let t = -262/11 + d. Calculate the common denominator of t and -149/6.
6
Suppose -21*i + 478 = -110. Suppose k = i + 36. What is the lowest common multiple of k and 4?
64
Let s = -51451/6 - -8596. What is the common denominator of s and 8/21?
42
Let t = 45119/3540 + 4/885. Let l(s) = 3*s**2 - 26*s + 47. Let q be l(25). Calculate the common denominator of t and 3/(-36)*(q/(-20) - -3).
20
Let f = 38562829/238 - 1248859/7. Let k = 16381 + f. Find the common denominator of -71/2 and k.
34
Let j = 132 - 315. Let g = 21031 + -420713/20. Calculate the common denominator of g and (-1)/((-3)/(j/22)).
220
Let g(q) = -2*q + 3. Let j be g(5). Let r = 138 - 96. Let x = r - j. Find the common denominator of -28 and x.
1
Suppose 273*j - 40 = 263*j. Let n = -9 + 14. Calculate the least common multiple of j and n.
20
Suppose -5*l + 36 = 4*v, 5*l - 40 = -5*v - 0*v. What is the common denominator of (1 + 59/(-50))*(-1665)/(-74) and 2/(-5) + (-2)/l?
20
Let y = 1326/4111325 + 337362259573957/74003850. Let j = -4557553 + y. Let n = -1159 + j. Calculate the common denominator of n and 35/18.
18
What is the common denominator of (2/5)/(28/(-1925)) and -23/63?
126
Let w = 250 - 132. What is the lowest common multiple of 16 and w?
944
Let a be (-836)/(-2070) + (-4)/10. Let x = 331368353 + -1371864989477/4140. Let b = a - x. Find the common denominator of b and -101/6.
60
Let a(v) = v**3 + v**2 - 4*v + 5. Let m be a(-4). What is the common denominator of 425/595*(-69)/(-10) and 6/m + 646/(-252)?
14
Suppose -3*t + 2 = -1, -5*z + 104 = 4*t. Let s = -14 + z. Let l = -2320 + 2321. What is the smallest common multiple of s and l?
6
Suppose 5*k = 3*k + 10. Let v be (-2)/6*6/(-2). Suppose -v = q - k*r, -3*q - 5*r = -0*r - 17. Calculate the lowest common multiple of 12 and q.
12
Suppose 3*g = t + 17, 22 = 3*g + g - 2*t. Suppose 2*c = -4*o - 12, 4*o + g = c + 3*o. Let r = c - 0. What is the least common multiple of r and 8?
8
Let t(v) = v**2 - 17*v + 22. Let m be t(18). What is the common denominator of 83/6 and (m/(-84))/(24/(-14))?
18
Suppose -941*v = -939*v - 522. Calculate the lowest common multiple of 290 and v.
2610
Let q(v) = 18*v - 52. What is the lowest common multiple of 50 and q(9)?
550
Let g = -6 + 2. What is the common denominator of (-5 - -14) + 655/(-50) and (4/10)/(g/23)?
10
Let p be (-2)/((12/3)/(-8)). Suppose p*b - 8 = 32. Suppose -15*x + 11*x = -24. Calculate the smallest common multiple of b and x.
30
Let z = 129471/20 - 6475. What is the common denominator of 79/188 and z?
940
Suppose 3*o = 11*o - 224. What is the least common multiple of o and 24?
168
What is the lowest common multiple of 231 and 2424/22 + (-376)/2068?
2310
Let k = -235 - -247. Wha