1480. What is the least common multiple of k and 84?
6216
Let k(h) = h**2 - 35*h + 25. Suppose 0 = -9*m + 5*m + 60. Let a be k(m). Calculate the common denominator of 44/16 + -2 - a/12 and -49/25.
75
Suppose 228*f - 223*f = 100. Calculate the common denominator of -2 + 2 + 295/f and 41/92.
92
Suppose -1234285 - 786019 = -317*h - 259052. What is the smallest common multiple of 2 and h?
5556
Suppose -6397 + 2105 = -37*a. What is the least common multiple of a and 296?
8584
Suppose -5*u + 92 = 3*y, -y - 2*u + 16 + 16 = 0. Find the common denominator of -101/38 and (8 - 416/y)*(-13)/(-8).
114
Suppose -p + 1485 = 4*v, 4*p = 60*v - 62*v + 746. What is the smallest common multiple of v and 70?
3710
Find the common denominator of -43 and (-8)/2 - 6160/1440.
18
Let x = -620 - -620. Suppose 3*g - 55 + 25 = x. Calculate the least common multiple of 50 and g.
50
Let n(b) = 19*b**3 - 62*b**2 + 116*b + 4. What is the lowest common multiple of 70 and n(2)?
140
Let i be (-1)/3*(5 - 8). Suppose -21*h = -23*h + 24. What is the lowest common multiple of 2*i/2*2 and h?
12
Let b = -260 - -309. Find the common denominator of (-2)/(-6) - (-514)/(-48) and 768/462 + (-28)/b.
88
Suppose 2*z + 19 - 7 = 0. Let k be 16/(-1 - 2/z). Calculate the common denominator of 123/10 and (-1 - 47/k)*-3.
40
Let n = -3129 - -3130. Let m(o) be the second derivative of -o**4/12 + 3*o**3/2 - 9*o**2/2 + o. What is the smallest common multiple of n and m(6)?
9
Let q(v) = -10*v + 116. Let f be q(17). Calculate the lowest common multiple of 21 and f/108 - 21/(-2).
210
Let q = -44196/11 - -4021. Let d = 4937 + -54346/11. What is the common denominator of q and d?
11
Let f be (-4*(-77)/(-132))/(1/(-78)). Let h = f + -152. What is the least common multiple of 21 and h?
210
Suppose -4*h - 13*i + 548 = -10*i, -2*i + 8 = 0. Calculate the lowest common multiple of h and 12.
804
Let l be 3 - ((0 - 4) + -120). Let k = 3329/1284 + -1/107. Find the common denominator of l/24 + (1 - 0) and k.
24
Find the common denominator of 6/27*(106/(-4) + -8) and -22/873.
873
Let t be (-7 + 1)*(-5)/3. Let y = -16 + t. Calculate the smallest common multiple of 2 and y*(-3 + 28/12).
4
Suppose 30 = -34*p + 44*p. Suppose 4*d + p*f - 29 = 0, 5*f - 5 = 10. Calculate the least common multiple of 55 and d.
55
Let m(s) = -13*s**3 + 2*s**2 - 2*s - 2. Let f be m(2). Let d = f - -112. Suppose 4*l - 5 = -l. What is the smallest common multiple of d and l?
10
Let k be 0 - (0 + -3) - 4 - -118. Let a = k + -109. Calculate the lowest common multiple of a and 46.
184
Suppose 2*w - 138 = -2*n, 5*n - 3*w - 363 = -2*w. Suppose -3*u - n = -3*c, 13*c + 2*u - 12 = 12*c. What is the lowest common multiple of 15 and c?
60
Let f = 9487/5590 + -70/43. Calculate the common denominator of f and -121/260.
260
Let z(t) = t**3 - 100*t**2 - 7*t + 828. Calculate the least common multiple of 68 and z(100).
2176
Suppose 7*s - 32 = 15*s. Let m = -502/45 + 86/9. Calculate the common denominator of m and (-70)/s*(-322)/(-575).
5
Let n be (-2)/(-11) - (-171602794)/(-7260). Let q = 51854 - 28213. Let z = q + n. Calculate the common denominator of z and 103/24.
120
Suppose 4*z + 2*l = 24, 2*z - 2 = l + 2. Find the common denominator of 37/42 and (-2)/z*(410/(-105) - -5).
42
Let d = 32933/2516864 + 4/2809. Calculate the common denominator of 3/2 and d.
896
Let d(v) = 70*v + 2. Let i be d(1). Find the common denominator of (-222)/(-18)*(-3)/8 and -5 + 2 + 0 + (-153)/i.
8
Let n be 1734*(2 + 3/(-2)). What is the smallest common multiple of 1/((-9)/(-4)) - 9/((-972)/3840) and n/18 + (-1)/6?
144
Calculate the common denominator of -17/9 and -82*(-12463)/170412 - 6.
23238
Let v(p) = -p + 23. Let w = -44 - -57. Let h be v(w). Suppose h + 2 = q. What is the smallest common multiple of 78 and q?
156
Let x = 2954 - 17725/6. Let d = 1/2460 + 48583/4920. Find the common denominator of d and x.
24
Suppose 45*x - 825 = -3*h + 40*x, 3*h - 816 = -2*x. Suppose -272*t + h*t = -22. What is the least common multiple of t and ((-156)/15)/(2/(-10))?
572
Suppose -161*s + 159*s - 44 = -y, -22 = y + 4*s. Suppose 64 = 3*f - 4*k, 5*f - 6*k = -4*k + 130. Calculate the lowest common multiple of f and y.
308
Let o = 461 - 460. What is the least common multiple of (-5 - (-3 - 142))/o and (15/(-12))/(1/(-8))?
140
Let h = -1913 + 2003. What is the smallest common multiple of 18 and h?
90
Suppose 325*k - 326*k = -2. Let w = 27 - 11. Calculate the lowest common multiple of w and ((-66)/(-88))/(1/(2 + k)).
48
Suppose -23910 = 9*a - 85164. Suppose -1240 - a = 6*v. What is the common denominator of v/45*10/96 and -61/18?
144
Let s = 844/35 - 117/5. What is the common denominator of (-15 - -17)*(-22)/328 and s?
574
Suppose 0 = 5*r - 37 - 3. Suppose -x - 70 = -3*q, -3*q - 4*x - 1347 = -1397. Calculate the smallest common multiple of q and r.
88
Let b(i) = i**2 - 17*i - 46. Let w be b(19). Let f be (2/w)/((-2)/16*2). Suppose -8*l + 7*l = -f. Calculate the least common multiple of l and 10.
10
Let u = 29189 + -28823. Calculate the least common multiple of u and 793.
4758
Let o = 6/11681 + 1271645/3083784. What is the common denominator of -89/18 and o?
792
Let t = 715576/32582810573 - 3/183823. Let j = t + 20383673/34032192. Calculate the common denominator of -71/3 and j.
192
Let t(g) = -2*g**2 - 54*g + 45. Let n(i) = -i**3 - i + 3. Let f be n(3). Calculate the common denominator of t(f) and 53/10.
10
Let i = -1802198/451 + 3996. Calculate the common denominator of i and -27/328.
3608
Let l be (-2)/(2 + 5/((-235664625)/94265844)). Let q = -188668583/12 - l. Let x = -11400 - q. What is the common denominator of -37/24 and x?
24
Suppose 5*k = v + 2*k - 279, -v + 267 = k. Suppose -6*s + v = -s. Find the common denominator of (4/s)/(6/(-3)) and -65/24.
216
Let n = -6425/7 + 10238/21. Let o = -335/12 + n. Let z = 473 + o. Find the common denominator of 32/9 and z.
36
Suppose 4*c - 3*k = 6, k - 6 = -2*k. Suppose 3*f - 115 = -5*g, -g + 4*f = -c*g + 60. What is the smallest common multiple of g and 32?
160
Suppose 2*q - 4 = -y, 2*q + 37 = 3*y + 3*q. Calculate the least common multiple of 306/459 - 40/(-12) and y.
28
Suppose 45*h + 1196 - 4076 = 0. What is the least common multiple of h and (-8)/((-2)/36*4)?
576
Let v(h) = 11*h - 2. Suppose -2380 - 240 = -799*b + 1375. Calculate the lowest common multiple of b and v(2).
20
Let i = 21117/32 + -4878215/7392. Calculate the common denominator of -76/1155 and i.
9240
Let v(z) = -459*z - 5799. What is the smallest common multiple of v(-13) and 112?
336
Let x = -15726 - -15750. Let f be (-1 - 0/(-1)) + 151. Suppose 3*d - 8*d + f = 0. Calculate the least common multiple of d and x.
120
Suppose -19*g + 20*g + 2*j = 587, -5*g + 2907 = -4*j. Calculate the smallest common multiple of 44 and g.
2332
Suppose 0 = -8*b + 14 + 378. Calculate the least common multiple of b and 105.
735
Find the common denominator of -14 - (-16393)/964 - 3 and 137/24.
5784
Let s(g) = 13*g + 2. Suppose 0 = -7*v + 84*v + 142 - 1528. What is the lowest common multiple of v and s(2)?
252
Let z(q) = q**3 + 11*q**2 + 9*q - 34. Let b be z(-9). Suppose -12 = 7*n - b. Calculate the least common multiple of n and 417.
2085
What is the common denominator of 41/3822 and 8176/(-292) - 4887/(-168)?
15288
Suppose 79 - 919 = -42*w. Calculate the least common multiple of w and 152.
760
Calculate the common denominator of -151/36 and (-287041)/(-72980) + -1*4.
16020
Let o = 18 + -8. What is the least common multiple of (-310)/(-25) + ((-120)/(-25))/8 and o?
130
Suppose -10*a = -7*a - 9. Calculate the least common multiple of (1*-19)/((4/a)/(-4)) and 8.
456
Let t = 8656 - 173101/20. Calculate the common denominator of 4/12 + 94/(-264) and t.
220
Let x(b) = -11*b + 64. Calculate the lowest common multiple of 348 and x(4).
1740
Let l = -105702489/770 + 137276. Find the common denominator of 79/4 and l.
1540
Suppose -28*m + 33*m - 10 = 0. Calculate the common denominator of m/(-90)*(-1065)/(-6) and 31/15.
90
Let q be (((-13)/(-4) + -3)*8/5703)/(-1). Let f be (-1)/(-4) - (-444842)/(-22812). Let c = q - f. Find the common denominator of c and 59/4.
4
Let l = 2724 - 2680. What is the least common multiple of 5024 and l?
55264
Suppose -l + 15*j = 18*j - 1014, 2986 = 3*l + 2*j. What is the least common multiple of 