 15*m, 0 = m - 3*l - 25. Find the common denominator of (1 + m)*(-2 + (-6)/(-4)) and 67/10.
10
Let n(b) = 37 + 52*b + 54*b - 157*b + 50*b. Calculate the smallest common multiple of n(28) and 9.
9
Suppose -172*u = -2*q - 174*u + 752, -5*q = -4*u - 1844. Calculate the smallest common multiple of 12 and q.
372
Let h(l) = l**2 - 48*l - 33. Let m be h(10). Calculate the common denominator of -19/32 and (-1 - m/(-28))/(24/3).
32
Let z(f) = -f**2 + 6*f + 34. Let a = 71 - 61. Let q be z(a). Calculate the lowest common multiple of 6 and -27*((-2)/(-6) + 8/q).
54
Let v be 6/4*(-3)/((-33)/22). Let w = 7339/14 - 524. Calculate the common denominator of w and (v - -2) + (-98)/(-112).
56
Let c = -138155/18 + 7671. Find the common denominator of c and 92/1275.
7650
Let v(s) be the third derivative of s**5/20 + s**4/24 + 5*s**3/3 + 52*s**2. Calculate the lowest common multiple of v(4) and 10.
310
Suppose -127 = -3*p + 5*f, -129*f + 130*f = 3*p - 119. Calculate the lowest common multiple of 36 and p.
468
Find the common denominator of 3/100 and -2 - ((-14)/(-35) + 351/(-72)).
200
Suppose -3*w - 82 = -5*u, w + 3*w = 4*u - 120. Suppose -17*l + 10 = -15*l. What is the lowest common multiple of 15*(-2 + (-3 - w/6)) and l?
10
What is the common denominator of 44/77*(-9 + -2) and 3 + -4 + 408/66 + -5?
77
Let f(i) = -i**3 + 4*i**2 + 7*i - 7. Let y be f(5). Suppose -z - y*z = -60. Let c = -578 + 587. Calculate the least common multiple of z and c.
45
Suppose 0 = -4*a + t - 77, 2*a + 0*t = -3*t - 21. Let w be 464/a - (-8)/(-36). Let r = w + 28. Calculate the least common multiple of r and 4.
4
Suppose 3*s - 40 = -2*s. Let h be ((-39)/6 + 0)*84/7. Let v = 86 + h. What is the smallest common multiple of v and s?
8
Let o = 4496919/100 - 44968. Calculate the common denominator of -17/70 and o.
700
Calculate the common denominator of -58/189 and ((-413)/(-315) + -3)/(8/20).
189
What is the common denominator of (4/120)/((-3)/18225*-25) and ((-6)/(-8))/(3/(-49))?
20
Let a = -1271/2348 - 6809603/32872. Let c = a + 1432/7. Calculate the common denominator of c and 11/(-1)*1 + 3.
8
Let s = 1219 + -459620/377. Calculate the common denominator of -35/464 and s.
6032
Suppose -37*q + 455 = -840. Suppose -q*w = -26*w - 324. Calculate the smallest common multiple of w and 40.
360
Let q(u) = 2*u - 24. Let s(v) = 12*v - 145. Let b(i) = -39*q(i) + 6*s(i). What is the smallest common multiple of b(8) and 48?
144
Let z = -180110 + 95458249/530. Find the common denominator of 43/60 and z.
3180
Let k = 7222 - 6700. Calculate the least common multiple of 87 and k.
522
Let g = 85197205/504 - 169042. Calculate the common denominator of g and -103/504.
504
Let x(d) = d**3 - d**2 - 3*d + 1. Let p(u) = 97*u**2 + 57*u + 114. Calculate the lowest common multiple of p(-2) and x(3).
1940
Suppose 5*c + 2*d = 214, -7*d + 85 = 2*c - 6*d. Let s = 2/169 + 24143/2028. What is the common denominator of 1/(-2)*-4 - 266/c and s?
132
Let c(r) = r**2 + 4*r - 8. Let o be 4 + (-40)/12 + 40/(-6). Let m be c(o). Suppose m*v - 46 = 42. Find the common denominator of v and -81/2.
2
Let p be (-986)/60*(8 + 91). Let l = -1625 - p. Let z = 11638 + -186149/16. What is the common denominator of z and l?
80
Let o = 983/765 + 57/85. Let i = 1685649709/6887790 + 11/327990. Let l = -1689/7 + i. Calculate the common denominator of o and l.
45
What is the smallest common multiple of 198 and (-11 + 9 - 4) + 732/1?
2178
Let l = -2772 + 796. Let q = 43481/22 + l. Calculate the common denominator of -71/12 and q.
132
Suppose -9 - 1 = -5*r, -2*m + 40 = -2*r. Let c = 59 + 51. Calculate the smallest common multiple of m and c.
110
Calculate the common denominator of 24/(-144) - (-66)/(-4) and ((-74)/8)/((-42)/(-24) - 4).
9
Let o(j) = -12*j + 226. Let x(h) = 17*h + 2. Let z be x(-2). Let y = 70 + z. Calculate the lowest common multiple of y and o(17).
418
Let s = 506191/132 - 15337/4. What is the common denominator of -5/492 and s?
5412
Calculate the common denominator of 13/(3146/583)*(-4)/14 and 111/56 - (-2)/(-8).
616
Let s(l) = 10*l - 237. Let a(b) = -16*b + 355. Let c(o) = -5*a(o) - 7*s(o). What is the smallest common multiple of 36 and c(14)?
72
Let a be (-1)/2*(0 - 12). Let l = -1249/209 - -256/57. Calculate the common denominator of ((-11)/(-9))/(2 + (-14)/a) and l.
33
Suppose 2*b = -3 + 21. What is the common denominator of -139/30 and ((-82)/(-6))/((-24)/b)?
120
Let u = -1264 - -7531/6. Suppose 0 = 3*l - 8 + 8. Calculate the common denominator of u and 238*(-5)/60 - (l + 1).
6
Let d(g) be the third derivative of 0 + 0*g - g**2 + 19/6*g**3 + 1/60*g**5 + 5/12*g**4. Calculate the smallest common multiple of 2 and d(-8).
6
Suppose -26*a + 25031 + 83833 = -5*a. Calculate the smallest common multiple of a and 9.
5184
Let t(a) = 2*a**3 - 9*a**2 - a + 23. What is the least common multiple of 831 and t(4)?
831
Let g = -336623519/720 - -7345451/16. Let s = g - -8443. Find the common denominator of -139/36 and s.
180
Suppose 2*s + 6 - 108 = 0. Find the common denominator of 55/3 and 158/66 + s/(-34).
66
Suppose -44*m + 4843 + 22278 = -19299. What is the least common multiple of m and 60?
12660
Let h be (-9 + 9 - 4)*(-2)/(-8). Calculate the least common multiple of 20 and (2 - -2) + h - -137.
140
Let l = 35 - 39. Let c be (4 + 48/(-20))/(l/(-10)). Suppose -48 = -2*i - c*q, -68 = -4*i - 4*q + 3*q. Calculate the lowest common multiple of 16 and i.
16
Find the common denominator of 2/(-8) + 113/28 and -60 + 67 - (2673/402 - (2 + -3)).
938
Calculate the common denominator of 26/33 and (-3 - 1009/(-495)) + (3 - (3 - 1)).
495
Suppose -3*k - 4*p + 58 = -2*p, 4*p - 72 = -4*k. Suppose -11*l = -11 - k. What is the least common multiple of 5 and (5 - 4)/(l*2/48)?
40
Let r = -15388 - -15787. Calculate the least common multiple of r and 855.
5985
Let k = 3/2702 - 58111/16212. Let f = -859309/72 + 11933. What is the common denominator of f and k?
72
Let w = 2/23205 + 145169/20838090. Calculate the common denominator of w and 83/40.
53880
Find the common denominator of -1/2 and ((-7412)/(-1090))/(16/(-6) - 0).
20
Let f be 62853469/(-3087) - (-11)/((-396)/8). Let d = -20360 - f. Find the common denominator of 26/21 and d.
147
Let s = 15286 - 14982. What is the smallest common multiple of s and 300?
22800
Suppose -102*o + 4476 = 3539 - 12935. Calculate the lowest common multiple of 52 and o.
1768
Let a = 1267049/40 - 31678. What is the common denominator of 1230/(-6000) - 2/(-25) and a?
40
Let b = 205/106 - 27727/7102. Let v = 9421/5360 + b. Let r = -487/80 + v. Find the common denominator of -1/20 and r.
20
Let b be (-1)/(-4) + (-62)/(-8). Let d = b - 5. Calculate the common denominator of 13/8 and (6 - d) + -1 + (-67)/4.
8
Suppose -4*b = -3*b - 70. Suppose -149*k + 278 = -49*k - 22. What is the smallest common multiple of b and k?
210
Let z = -828 + 830. Find the common denominator of (-8)/z + 897*2/324 and 163/30.
270
Suppose i - r = 30, -r = -4*i + 4*r + 124. Suppose 0*u + w = u - i, 5*u + 3*w = 114. Calculate the lowest common multiple of 132 and u.
264
Let w = -134007 - -134015. Suppose -2*j - 2*j + 12 = 0. Suppose 0 = -2*b - 5*f - 1, b + j*f + 1 = -0*b. What is the smallest common multiple of b and w?
8
Let p = -14860739/286939774 + -2/303319. Find the common denominator of p and -49/946.
946
Suppose 23*x - 15 = 20*x. Suppose 4*s + 5 = 25. What is the smallest common multiple of s and x?
5
Let n = 5160 - -9154. Calculate the smallest common multiple of n and 8.
57256
Suppose -g + 2*w - 3 + 17 = 0, -22 = -3*g + 2*w. Find the common denominator of (351/(-486))/((-2)/g) and 46.
9
Let t(v) = 2*v**3 - v**2 - 128. Suppose 0 = 6*i - 0*i - 2*i. Let o be t(i). Calculate the common denominator of -63/2 and 4/o*2*2*34.
4
Let q = 2525 + -1590. What is the smallest common multiple of q and 5?
935
Let x = 1447997/36 - 40225. What is the common denominator of x and 53/1950?
11700
Let r = -7715 - -7716. Let d(b) = -b**3 + 7*b**2 - b + 2. Let z be d(6). Let u = z + -19. Calculate the smallest common multiple of r and u.
13
Let b be 2/(-8) - ((-484)/(-16))/(-1). Suppose -2*u + b = -5*u. Let z(h) = -h - 6. What is the smallest common multiple of 32 and z(u)?
32
Suppose 7*a + 131 - 898 = -95. Calculate the lowest common multiple of 456 and a.
1824
What is the sm