se v - 2*r = 4, -4*v - 5*r = -v + 21. Calculate the common denominator of (-1)/((-172)/(-85) + v) and g.
12
Find the common denominator of (5 - (-210)/(-45)) + 2/22 and -49/198.
198
Calculate the least common multiple of (-45240)/1450*(-15)/4 and 1572.
61308
Let w(g) = 6*g**3 - g**2 + 1. Suppose -v + 14 = -5*b, -10*b - 17 = -2*v - 11*b. Calculate the least common multiple of v and w(1).
18
Let q = -1384 - -1360. Let m = 16/85 - -1556/765. Calculate the common denominator of m and (494/q - 1)*(-90)/315.
18
Suppose -2*f + 2776 = 5*k - 969, -4*k - 4*f + 3008 = 0. Calculate the lowest common multiple of k and 27.
2241
Let x = -3795887/11626 - 1/5813. Let j = -361 - x. Calculate the common denominator of -77/222 and j.
222
Find the common denominator of -13 - -2 - (-202)/6 and -17/984.
984
Let h be (-1)/3 + -12 + (-539)/(-33). Suppose h*v - 60 = -2*y - 2*y, -4*v - y + 45 = 0. What is the least common multiple of v and 29?
290
Suppose g = 13 - 4. Let u(w) = 4*w + 13. Let f be u(-2). Suppose -q = f*d - 6*d - 34, -q = 5*d - 28. What is the least common multiple of q and g?
99
What is the common denominator of (-60)/(-300)*1/((-288)/(-314)) and -71/90?
720
Let y(s) = -2*s**3 - 20*s**2 + 13*s + 13. Let b be y(-11). Suppose -2*f - 3*i + 31 = 0, -5*f + 12*i = 8*i - b. Calculate the lowest common multiple of 54 and f.
540
Calculate the common denominator of 13/1440 and (-4 - (-156)/40)*(7 - -1)/(-24).
1440
Let b(o) = 9*o**2 - 252*o + 1521. What is the lowest common multiple of b(6) and 962?
8658
Suppose -8*b + j = -5*b - 16456, -4*j - 16 = 0. Calculate the lowest common multiple of b and 3656.
10968
Let b = 2035 - 53011/26. Let p be 8/6*9/(-10299). Let i = p - -230075/54928. What is the common denominator of i and b?
208
Let r = -74 - -141/2. Find the common denominator of 136/(-714)*21 - 53/(-1) and r.
2
Let c(g) = -g**2 - 13*g - 44. Let f be c(-6). What is the least common multiple of ((-580)/(-15))/(f/(-9)) and 18?
522
Let u be (0 + 5)/(1/3). Suppose 20*y = 25*y - u. Suppose g + y*g - 48 = 4*z, -2*g + 33 = -5*z. Calculate the lowest common multiple of g and 8.
72
Suppose -3*q = -3*w + 351, 107*w - 106*w = -4*q + 92. What is the lowest common multiple of 18 and w?
1008
Let w = 677869/36 + -18826. Find the common denominator of 103/198 and w.
396
Suppose 9*f - 15 - 3 = 0. Let n = -4767 - -4850. Calculate the lowest common multiple of f and n.
166
Calculate the common denominator of -7/33 and (2223/1170)/(249/35).
5478
Let d = -878 + 934. What is the common denominator of 14/d - (-32)/(-9) and 202/(-6)*15/160?
288
Suppose -2*i - 60802 = -4*m, -6*m + 9*m - 5*i - 45619 = 0. Let z = m + -334449/22. Calculate the common denominator of -28/253 and z.
506
Suppose -a - 4*i + 60 = -19, -a + 4*i + 55 = 0. Let u = -303/4 + a. What is the common denominator of u and -43/10?
20
Suppose -851 = d - 1178. Let l = -61 + 76. What is the smallest common multiple of l and d?
1635
Suppose 28*j = 85*j - 59 - 454. Let n(m) = -m**2 - 8*m + 9. What is the smallest common multiple of j and n(-6)?
63
Find the common denominator of 426/8307 + 2774/156 and 137/114.
114
Let v be 3/2*6/(-9)*-17. Suppose 0 = 2*m + v - 5. Calculate the common denominator of 31/2 and (-2 + 1128/126)/((-8)/m).
14
Let b = 1814762/6323 + -47909558561/165599370. Let a = 1/2619 + b. Find the common denominator of (((-62)/(-2)*1)/(-4))/(-7) and a.
140
Let i = 384 - 381. Let o(a) be the third derivative of a**6/120 - a**5/10 + a**4/3 - 3*a**3/2 + 8*a**2. What is the least common multiple of o(5) and i?
6
Let u = 36300853/792 - 91669/2. Find the common denominator of 71/1452 and u.
8712
Find the common denominator of 29/98 and (-16 - -10 - 1176/6)/(-28*5).
490
Let v(q) = q**3 - 26*q**2 + 48*q + 7. Let j be v(24). Suppose -j = 6*i - 175. Calculate the lowest common multiple of i and 24.
168
Let a(q) = 2*q**3 - 3*q**2 - 5*q + 3. Let r be a(3). Suppose -2*j + r = -65. Suppose -j - 8 = -4*d. What is the smallest common multiple of 6 and d?
12
Let j = -132086991/16 - -8248252. Let p = j + 7182. Calculate the common denominator of -69/52 and p.
208
Let n = -33096970164 + 1068105420973233/32272. Let f be 3/12102*-4*1. Let t = f - n. Calculate the common denominator of t and -77/6.
48
Let v = -339461/143850 - 1/5754. Calculate the common denominator of v and 100/(-200) - 16/(-5).
50
Let z = -3/151604 - -5534965/71708692. Calculate the common denominator of z and 15/1118.
12298
Let t(o) = 3*o**2 - 27*o - 58. Calculate the lowest common multiple of t(-2) and 4082.
16328
Let q = -610/41 - -40853/2214. Let u = q + -7/2. Calculate the common denominator of u and 55/168.
1512
Suppose -4*c - a = -280 - 3292, 2*a = -4*c + 3568. Let i = c + -885. What is the lowest common multiple of (-984)/(-14) + 2/(-7) and i?
630
Find the common denominator of 85/32 and -66*((-72996)/3648 + 20).
608
Suppose 5*u - 102 - 3 = 0. What is the least common multiple of u/(-18) - -2 - (-8715)/126 and 1/2 + 14/4?
140
Suppose -4*q = -3*c + 5844, c + 2*q = -262 + 2190. What is the least common multiple of 1358 and c?
13580
Find the common denominator of (4/20)/(721/(-91) + 2) and -32/385.
385
Let m be ((-3674)/(-42) + (-1)/7)/(-4). Let c = -1517/66 - m. Calculate the common denominator of ((-2)/(-9))/1 - 605/(-90) and c.
198
Let w = 271 + -251. Suppose -k + 0*k + 53 = 5*n, -w = -4*n. Calculate the smallest common multiple of k and 52.
364
Let k be 6/(-15) + 274215/(-300). Let m = 914 + k. Calculate the common denominator of -119/258 and m.
2580
Suppose 20 = 2*p + 5*l, -5*p + 2*l - 3 = 5. Suppose -4 = -2*w + 2*a - a, -3*w + a + 8 = p. Calculate the least common multiple of 13 and w.
52
Let y(x) = -x**3 - 8*x**2 - 10*x + 17. Let p be y(-9). Suppose -z + 4*z + 3*w = -120, -5*z - p = 2*w. Find the common denominator of (7 - 3) + 471/z and 8/9.
36
What is the lowest common multiple of (18*3)/(1155/2695) and 28?
252
Let m(c) = c**3 - c**2 - c + 111. Let w = 16 - 16. Let s be m(w). Let x = 78 - s. Find the common denominator of -53/33 and x.
33
Suppose -7516 = -236*z + 1924. Let b(t) be the second derivative of -t**4/12 + 12*t**2 + 2*t. Calculate the smallest common multiple of z and b(0).
120
Suppose 0 = -201*m + 231*m - 5250. Calculate the smallest common multiple of m and 2050.
14350
Let i be (3 - 28)*(-10)/52. Let l = i + -149/104. What is the common denominator of l and 51/11?
88
Suppose 2*c = -d + 201, -4*c - 5*d = -377 + 20. Let n = 153 + -54. What is the least common multiple of c and n?
1188
Let g(m) = -m**3 + 16*m**2 - 8*m + 17. Let y = 19 - 4. Let p be g(y). Find the common denominator of -65/9 and p/(-42) - 2/(-1).
63
Suppose 0 = 2*x + u - 46, 0 = -0*x - 5*x + 4*u + 128. Let s be 8/2 - (-438446)/x. Let k = s - 18260. What is the common denominator of k and 41/27?
108
Suppose 3*w = 5*x - 56 - 79, 4*x - 140 = -4*w. Let b be (-12)/x*(-12 - (-2 + 0)). Calculate the smallest common multiple of 9 and (12/(-2))/(-5 - (b - 8)).
18
Suppose 0 = -7*n - 7*n + 98. What is the common denominator of 57/2 and ((-2)/(-4))/(n/(-217))?
2
Let g = 4898948/20318913 - 1/394542. Calculate the common denominator of 5 + -8 + (-132)/27 and g.
1854
Let c = -636 + 1086. Calculate the lowest common multiple of c and 54.
1350
Suppose -23*s + 373 = -2939. Suppose 152*c - s*c = 480. Calculate the least common multiple of c and 50.
300
Let k(x) = -57*x - 219. Suppose -182*t + 180*t = 10. Calculate the least common multiple of 66 and k(t).
66
Let o = 108 + -1426/13. Find the common denominator of 9/11 and o.
143
Let u(w) = -w**3 + 8*w**2 + 43*w + 74. Calculate the lowest common multiple of u(9) and 38.
380
Let h be -1*(4 - 27146/6786). Let p = 118739/54288 + h. Find the common denominator of p and 87/((-3 - -5)*4).
16
Let m(b) = -2*b**3 - 30*b**2 - 103*b - 22. Calculate the lowest common multiple of 82 and m(-10).
328
Suppose -3*g - x = -772, 466 = 2*g - 4*x - 72. What is the least common multiple of 999 and g?
6993
Suppose -32*r + 87*r = 778800. Let a be 2/9 + 16563455/(-1170). Let q = r + a. What is the common denominator of q and 19/2?
26
Let k = 3/2 - 8/5. Calculate the common denominator of 7776/10008 + 0 + -1 and k.
1390
Suppose 5*w - 3850 = -5*s, -4*w - 11*s + 8*s + 3083 = 0. Suppose 14*h + 661 = w. What is the lowest common multiple of 39 and h?
312
Suppose -6 - 2 = 8*p.