 - 28/d and 3/16.
144
Let c = 227782/99 - 2301. Let l = c - -9541/792. Find the common denominator of -41/4 and l.
8
Suppose -26*y - 12550 = -4*n - 24*y, -n - y = -3139. What is the least common multiple of 18 and n?
9414
Suppose -37*c - 13444 = -35*c. Let g = c + 60571/9. Calculate the common denominator of 67/8 and g.
72
Let d(p) = -12*p**2 + 6*p + 3. Let i be d(-4). What is the common denominator of (3/(-72))/(3/i) and 87/22?
264
Suppose 4*b + 6 = 102. Calculate the lowest common multiple of b and 54.
216
Let x = 996 - 971. What is the lowest common multiple of x and 3?
75
Let h be 1/2*(4881 + 1). Let m = 879 - h. Let b = -24975/16 - m. Find the common denominator of -25/12 and b.
48
Suppose -3*u + 4*t + 3 - 1 = 0, 3*u + 23 = -t. Let d(y) = 9*y**2 + y - 1. Calculate the lowest common multiple of (-62)/u - (-10)/15 and d(1).
99
Calculate the common denominator of 19/8 and 1206/(-384)*(-2)/3.
32
What is the smallest common multiple of 17/3 - (-4)/12 and (-5)/(-25) + 38/10?
12
Let w(u) = 3*u**2 + 13*u + 4. Let x be w(-5). Let l(h) = -h**3 + 13*h**2 + 15*h - 3. Calculate the least common multiple of 12 and l(x).
132
Let n = 53 + -25. What is the common denominator of (-209)/175 - 2*4/n and -49/2?
50
Suppose -6*j - 408 + 498 = 0. Calculate the least common multiple of j and 60.
60
Suppose 0 = -4*s - 27 - 9. Let t be s/(1 - 4) - 0. Find the common denominator of -52/3 and t/6 + (-6)/(-28).
21
Suppose 6*f = 3*f + 36. Suppose -2*q + 40 = 2*n + f, n + 2 = 0. Suppose -3*p = p - w - 52, w + q = p. Calculate the least common multiple of 16 and p.
48
Suppose i = -3*i - 24. What is the smallest common multiple of i + 4 - (-4 + 1) and 4?
4
Suppose -2*j = 8*j - 380. Calculate the least common multiple of 5 and j.
190
Suppose -35 = 5*i - 5*o, 5*o - 1 = -21. Let r = 22 + i. Suppose 0*z + 12 = 5*f - 3*z, -4*z + 7 = f. What is the lowest common multiple of r and f?
33
Let y = 30 + -18. Find the common denominator of 10/88*(-44 + 36) and (-3)/y - (-190)/88.
11
Let k be ((-8)/(-5))/(39/(-1185)). Let p = k + 1159/130. Let r = p - -1567/35. Find the common denominator of 37/20 and r.
140
Let k(t) = -t**3 - t**2 + t. Let a be k(0). Suppose p - 6*p - 10 = a, 4*c - 122 = -3*p. What is the lowest common multiple of 12 and c?
96
Let m = -1912/12803 - 100/217. Let v = m - 3927/236. Calculate the common denominator of -47/14 and v.
28
Suppose 5*z - 222 + 122 = 0. Calculate the lowest common multiple of z and 55.
220
Let w(o) = -10*o - 21. Let r(c) = 3*c + 7. Let a(d) = 21*r(d) + 6*w(d). Calculate the smallest common multiple of 18 and a(5).
36
Let v(g) = g**3 + 13*g**2 + 21*g + 9. Calculate the least common multiple of v(-10) and 9.
99
Suppose -431 = -20*t - 111. Calculate the common denominator of 77/6 and (95/t)/((-42)/(-28)).
24
Let i = -14 + 27. Suppose -11 = 5*z + u + 3*u, -z + 3*u = -i. Calculate the least common multiple of z and -6 + 11 - (0 + -1).
6
Let n be -2*1*(-3)/2. Suppose 0 = b + b, 96 = -3*v - n*b. Calculate the common denominator of 21/16 and (1 - v)/(208/(-13)).
16
Suppose -69*p + 6 = -75*p. Let b be ((-1)/(-1))/((-1)/(-5)). What is the lowest common multiple of 5 + b/p + 4 and 9?
36
Let q be (13/26)/(1/(-20)). Calculate the common denominator of (-4)/(3/3) - 539/28 and ((-2)/(-60))/(q/(-25)).
12
Let k(l) = 7*l + 19. Let c be k(10). Calculate the common denominator of c/(-8) + -1*(-2)/4 and 69/2.
8
Suppose -3*u + 33 = -4*h - 6, -h = 3*u - 9. Calculate the common denominator of h/8*(-582)/(-36) and 41/5.
40
Let k be ((-554390)/(-33) - 2) + -1 + 2. Let y = -16800 + k. Find the common denominator of 29/42 and y.
462
Suppose 2*l + 0*s + 4*s + 18 = 0, -3*l = -s + 48. Let d = l - -36. Calculate the least common multiple of 8 and (-14)/d + (-62)/(-3).
40
Let g be ((-2)/(-3))/(2/(-3)). What is the common denominator of 6/(-30)*2/(-4) and ((-445)/55 - -4)/g?
110
Suppose 0 = 5*v - 5*d - 45, 3*v + 3*d = -0*d - 3. Suppose -v*h = -o - 41, -h + 3*o = 3*h - 51. Calculate the least common multiple of 11 and h.
99
Let f(z) = -z**2 - 70*z - 987. What is the least common multiple of f(-48) and 6?
138
Suppose -36 = -4*u - 4. Suppose -m = 2*m - 6. Suppose b + m*p + p = 17, -p + 3 = -b. What is the lowest common multiple of u and b?
8
Let n = 154 + -147. Suppose 1 = -2*z + 23. Calculate the least common multiple of z and n.
77
Let z be 429465/108 - (-10)/45. Let i = -333869/84 + z. Find the common denominator of i and -40/9.
126
Let w = 7756/5 - 1542. What is the common denominator of (11 - (-940)/(-84))*(-35)/(-6) and w?
45
Let x = -225 + 235. What is the lowest common multiple of (-30)/9*(-9)/6 and x?
10
Let f(n) = n + 9. Let c be f(-7). Let j be (-8)/(-3 + c - 1). Suppose 36 = 3*p - 0*h - 4*h, -3*p - j*h = -12. What is the smallest common multiple of 2 and p?
8
Suppose -5*g = -3*l + 79, -5*l = -2*g + 6*g - 70. Find the common denominator of -9/8 and (-3636)/l*(-1)/36.
72
Suppose -2*g + 7 = -3*q, g + 2 = 2*q + 5. Calculate the least common multiple of g and 26.
130
Suppose 4*k - 13*k - 450 = 0. Find the common denominator of 2 + 3 + (k/(-6) - 0) and 73/24.
24
Suppose 4*m - 2094 - 6530 = 0. Let v be 2 + 7/(m/(-736)). Let j = v - 619/77. Calculate the common denominator of 143/6 and j.
42
Let j be 1/(-6) + 308/(-24). Find the common denominator of (-20)/5 - j/6 and 83/8.
24
What is the lowest common multiple of 21*(-3 + (-50)/(-15)) and ((-1)/3)/(1/(-3))?
7
What is the common denominator of -119/110 and (-34)/(-935)*((-150)/(-46))/1?
2530
What is the least common multiple of 21 and ((-24)/10)/(1 - 102/90)?
126
Let m(i) = -8*i + 31. Let l be m(-14). Suppose -147*d = -l*d - 88. Suppose -2*n + 7*n - 50 = 0. What is the least common multiple of d and n?
110
Calculate the common denominator of 4511/(-1950) + -1 + 4 and 46/45.
450
Let h = 18 - -4. Suppose -2*a + 55 = 23. Calculate the smallest common multiple of h and a.
176
Let o(b) = 7*b - b + 1 - 2*b - 3*b. Let z be o(1). Suppose -z*c = -g - 9, 2*g + 1 = -9. Calculate the smallest common multiple of c and 12.
12
Suppose 66*f + 24 = 69*f + 4*j, -f = -3*j - 8. What is the lowest common multiple of 640 and f?
640
Let l(r) = 7*r**2 - 2*r - 31. Let a(g) = 4*g**2 - g - 16. Let o(y) = 11*a(y) - 6*l(y). What is the least common multiple of o(0) and 48?
240
Calculate the smallest common multiple of (210/25 - 7)/(1/5) and 78.
546
Let x = -8546/7 + 1223. What is the common denominator of x and 35/17?
119
Let u = -14 + 20. Let v = -787 - -799. Calculate the least common multiple of v and u.
12
Suppose 4*k = 3*k - 116. Let g = -59 - k. Let o = -37 + g. What is the lowest common multiple of 22 and o?
220
Let v = -179766/287 + 4806/41. Let k = v + 86215/168. Find the common denominator of 77/8 and k.
24
Let g be -6*((-1)/(-46))/(2/48). Let s = -152/69 + g. Find the common denominator of s and -113/6.
6
Let d be 90 - (2/(-15) - 10/(-75)). Suppose 39*o - d = 36*o. What is the smallest common multiple of o and 2?
30
Let a(b) = b**3 + b**2 - 2*b + 3. Let j be a(0). Calculate the common denominator of 7/6 and 68/28 + -4 + j.
42
Let p = -295/14 - -21. Find the common denominator of 79/146 and p.
1022
Let z = 4363 + -43587/10. Let k(d) = -4*d - 169. Calculate the common denominator of k(-30) and z.
10
Suppose 0 = -3*g - 50 + 74. Calculate the lowest common multiple of ((-4)/g)/((1/20)/(-1)) and 7.
70
Suppose 8 = -3*f + 7*f, p - 7 = -2*f. Suppose 5*b - p*h = -4*h + 43, -4 = 2*h. What is the lowest common multiple of (-2)/6 + (-76)/(-12) and b?
18
Let v be (7/(14/12))/1. Suppose 0 = 3*b - b + v, 0 = t + 2*b + 2. Suppose 8*u + t = 10*u. Calculate the smallest common multiple of u and 16.
16
Suppose 0 = -3*w - 3*w + 24. What is the smallest common multiple of 1 and (3/(-3))/(w/(-44))?
11
Calculate the common denominator of 5/36 and 359/132 - (-8)/((-120)/25).
396
Suppose 46 = -5*s + 146. Let n = -1109/5 - -1146/5. Find the common denominator of n and ((-10)/s)/(1 + 0).
10
Calculate the common denominator of -19/5 and ((-5)/63)/((-4)/24).
105
Suppose -758 = 8*d - 2294. What is the least common multiple of 4 and d?
192
Suppose 0 = -46*n + 469 + 1417. Calculate the lowest common multiple of n and 8.
328
Let q = 97 + -27. Suppose -q - 50 = 3*r. Calculate the common denominator of 27/2 and 575/r + -1 + 3.
8
Let d = 3919/330 + 14/33. Find the common den