06 - 10/773. Find the common denominator of g and 83/10.
110
Let g = -690240989/6384 + 756842/7. What is the common denominator of g and -27/14?
6384
Let v = 4212 - 4197. What is the least common multiple of 489 and v?
2445
Calculate the common denominator of (-1706)/1248 + 2 - ((-4077)/117 - -35) and 47/156.
624
Let p be ((-1776)/20)/((-26)/3705). Let v = p + -253131/20. What is the common denominator of -97/228 and v?
1140
Suppose 3*y - 602 = 100. Let k = -181 + y. Calculate the least common multiple of k and 1.
53
Let y = 2 + -83. Let d = -66 - y. What is the smallest common multiple of d and 42?
210
Let k be 4/(-20) + (-4821)/3540*2. Let q be (1446/(-1947))/(4/(-8)). Let u = k - q. Calculate the common denominator of -55/26 and u.
286
Calculate the common denominator of (8/8 + 0)/(140/570) and 13/16.
112
Let t = -235 - -67. Let j = 172 + t. Suppose 4*y + 3*h - 28 = 0, -24 - 12 = -4*y - 5*h. What is the smallest common multiple of y and j?
4
Let w be 15*8/(-2)*(-6)/12. Suppose -89*f = -84*f - w. Calculate the lowest common multiple of f and 27.
54
Suppose 0 = -3*i - i + 4*u + 20, 5*i + 2*u = 60. What is the least common multiple of i and 1256?
6280
Let z = 265/18 + -31/2. Calculate the common denominator of z and (-2 - 7)/((-16)/(-88)).
18
Let y(z) = z**3 + 4*z**2 - z + 3. Suppose -3 = -3*h - 3*d, 5*d = -4*h + 8*h - 13. Suppose 8*x + h + 22 = 0. What is the least common multiple of y(x) and 24?
120
Suppose 6*z = z + 75. Suppose z = -u + 4*u. What is the lowest common multiple of u and 6/51*34/4?
5
Suppose 278 = 5*b - 0*v + 2*v, -2*b + 120 = 3*v. Let u = b + -39. What is the common denominator of 230/(-15)*9/u and -41/5?
5
Suppose 3*v = -0*f + f + 6614, 2*v - 4414 = -4*f. What is the common denominator of 13/3*27/v*-5 and 54/35?
245
Suppose 98*u = -13*u - 110*u + 1768. Calculate the lowest common multiple of 1454 and u.
5816
Let a = 1/1513 + -25182377/7565. Let f = 23237/7 + a. Let m = f + 34/5. Find the common denominator of m and 57/8.
56
Suppose -12*i + 14*i + 8 = 0. Let q(h) = h**3 - 6*h**2 + 9*h - 3. Let s be q(4). Find the common denominator of 41/66 and (-141)/(-30) - s/(i/12).
330
Suppose -109*i = -12*i - 2144 - 3676. Calculate the smallest common multiple of i and 1488.
7440
Let u = 3387 + -3369. Suppose -3*z + 55 = 5*p, -3*p - 2*z + 9 = -5*z. What is the smallest common multiple of p and u?
72
Calculate the least common multiple of (-1*2175)/5*(-16)/40 and 348.
348
Let l = -102580/255493 - 4/2147. What is the common denominator of l and -97/10?
1190
Let k = -484 + 527. Suppose 2*g - 121 = -5*t + 119, -4*t + 4*g = -220. Let p = t - k. Calculate the least common multiple of p and 10.
70
Let o(d) = -d**3 + 8*d**2 - 6*d + 7. Suppose 0 = -6*r - 4*j + 84, -4*j + 28 = 24*r - 22*r. Calculate the least common multiple of o(5) and r.
364
Let l = -10580 - -10976. What is the smallest common multiple of l and 324?
3564
Let u(g) = -g**2 + 12*g - 30. Suppose -4*z + 49 = 9. Let h be u(z). Let m = -7 - h. Calculate the smallest common multiple of m and 4.
12
Calculate the common denominator of (-1)/(((-80)/(-12) + -6)*(-1788)/148) and 97/1490.
1490
Let i be 2/8 + 1911/(-12). Let b = i + 257. What is the smallest common multiple of 12 and b?
588
Suppose -16 = -3*x + 38. Suppose -9*z = 6*z - 60. Suppose 0 = -3*d - 4*f + 24, z*d - f - 8 = 3*d. Calculate the lowest common multiple of x and d.
72
What is the common denominator of -2 - (-62)/9*3/32 and -11/720?
720
Suppose -g - 3 = 0, 3*g + 2*g - 185 = -m. Calculate the least common multiple of 75 and m.
600
Let u be (4/(-8))/(6/(-24)). What is the common denominator of 217/(-336) - 2*-1 and ((-1 + u)/6)/(25/(-1845))?
240
Let d = -6/1661 - -29940/11627. Calculate the common denominator of -155/84 and d.
84
Calculate the common denominator of (77/4)/((-41)/2) and 530352/(-176022) - 6/28.
902
Let x(f) = -f**3 + 113*f**2 + 225*f + 584. Suppose 0 = n + 4*n + 15. Let w(o) = -9*o. What is the lowest common multiple of x(115) and w(n)?
27
Suppose o = -u + 16, 3*u + 9*o - 52 = 4*o. Suppose 4 = 5*m + u. What is the common denominator of m*(-243)/24 + 1 and -27/10?
20
Let l = -17/2477 - 54251/396320. Find the common denominator of l and 137/30.
480
Let h = -7446 - -8069. What is the least common multiple of 801 and h?
5607
Calculate the common denominator of 52/165 and 53/(-10 + 17/(204/(-540))).
165
Find the common denominator of (-693)/56 - 7 - (0 + -11) and -47/1056.
1056
Let n = 3747743 - 52505913/14. Let v = -2686 - n. Let x = -2586 + 15595/6. Calculate the common denominator of x and v.
42
Let g(t) = 4*t - 145. Let s be g(0). Calculate the least common multiple of 2 and 15*1 - s/(-29).
10
Let u = -92637943/182 - -508996. Let l = 4/91 + u. Let s = 54713/10 - 5466. Find the common denominator of s and l.
70
Let o(t) = -7*t + 37. Suppose -3*n = 2*r - 191, 3*n - 168 = 3*r + 18. Calculate the smallest common multiple of o(-5) and n.
504
Let l be (-4)/(-24)*((-98995)/15 + -1). Let s = 1097 + l. What is the common denominator of s and 15/4?
36
Suppose 5*p + 38*o - 21 = 39*o, 0 = 5*p + 5*o - 45. Calculate the least common multiple of 834 and p.
4170
Let b(m) = 16*m**2 - 17*m + 16. Let z be (6 - 2/2)/((-40)/(-8)). What is the lowest common multiple of 35 and b(z)?
105
Let u = 26 + -14. Let g = -321 + 285. Let i = g - -48. What is the least common multiple of u and i?
12
Suppose 4*c + 5*g - 896 - 5448 = 0, 2*g + 1612 = c. Calculate the least common multiple of c and 456.
3192
What is the lowest common multiple of (54/(-45))/(2/(-235)) and 1?
141
Let f = -18 + 22. Let i = 6256 + -37681/6. Calculate the common denominator of 0 + f - (-305)/(-10) and i.
6
Find the common denominator of ((-4800)/148320)/((-76)/(-51)) and -45/206.
3914
Suppose -4*a + 121 = 5*p - 17, -2*p = 6*a - 196. Calculate the least common multiple of a and 32.
32
Suppose 4*m + 32*s - 33*s = 1, -8 = 4*m - 4*s. Let i = 34 - 24. Calculate the smallest common multiple of 1 and (-5)/i*(-9 + m).
4
Let y = 6 + -195. Find the common denominator of 1/(-5) + (-1131)/(-330) and 4 + y/56 + (-3)/4.
88
Let u(q) = 19*q - 1. Let n be u(7). Let w = -114 + 122. Suppose w*f - n = -3*f. Calculate the least common multiple of f and 16.
48
Let p = -977676871/1368 - -714676. What is the common denominator of -59/684 and p?
1368
Let i = -4173 + 4191. Suppose 0 = p + 3 - 24. Suppose -u + 3*h = -p, -4*u + i + 30 = -3*h. What is the lowest common multiple of u and 27?
27
Suppose -2*s + 124 = i, -4*s + 234*i - 231*i = -228. What is the smallest common multiple of 1970 and s?
11820
Let h = -723 + 1228. Calculate the common denominator of -43/33 and (-235)/(-6)*(5 + h/(-100)).
264
Let y be (-2 - (2 + -116))*(-279)/62. Calculate the common denominator of (5/(-78))/((-8)/y) and 71/22.
286
Let v = 0 + 48. Suppose 0 = -i + 3*t + v, -5*i + 46 = 4*t - 118. What is the smallest common multiple of 148 and i?
1332
Let j = -10600/27 + 22361/54. What is the common denominator of j and (-202)/132 - (-1 + 0)?
66
Let i = -85513 - -85533. Suppose -2*v + 40 = 4*n, n = -4*n + v + 57. What is the lowest common multiple of n and i?
220
Let w be 3 - 2*(-97)/2. Let k = w - 18. What is the common denominator of 48/(-36)*k/8 and 101/10?
30
Let t(q) = 1263*q**3 + 5*q**2 + 4*q - 2. Let x be t(-2). Let i = 181817/18 + x. Calculate the common denominator of 25/66 and i.
198
Calculate the lowest common multiple of (-500)/(-1) + (-18 - -23) - 8 and 71.
497
Let v(w) = -w**2 - 11*w + 10. Let t be v(-11). Suppose t*b - 6 = 104. Suppose 0*p - 6 = -3*p. What is the lowest common multiple of p and b?
22
Let x(y) be the first derivative of y**4/4 - 2*y**3/3 - 3*y**2/2 - 6*y + 10. Let k be x(-4). What is the common denominator of (-6)/(-4)*249/k and -43/24?
120
Let h(r) = r**3 - 12*r**2 + 42*r - 187. Let v be -5 + (-2)/(4/10)*-3. What is the smallest common multiple of 147 and h(v)?
1617
What is the common denominator of 7 + (3915/65)/(-9) and (-1 - (-837)/429) + (-6)/33?
13
What is the least common multiple of ((-1)/3)/(33/(-55440)) and 784?
3920
Let b = -1036 + 79776/77. Calculate the common denominator of 46/121 and b.
847
Suppose 4*v = -3*t + 77, 2*v + 4*t - 8*t = 44. Suppose 12*r - v = 7*r. Let c = 6 + 12. What is the least common multiple of c and r?
36
Let g be (-3600)/(-216)*2/8*6. Suppose -5*k + g = x,