What is the common denominator of -167/42 and (-36)/(-840) - (0 + -2 + 0)?
210
What is the common denominator of -2/35 and (21/(-60))/(15/(-54))?
350
Let y = -210241/27 - -7789. Find the common denominator of 6/(-27) + (-146)/18 and y.
27
Let p(i) = 5*i + 0*i + 2*i + 9 + i**2. What is the smallest common multiple of (25/10)/((-1)/(-2)) and p(-6)?
15
Suppose -12*c + 9*c + 9 = 0. Let d(p) = -c*p - 3*p + 4*p. What is the smallest common multiple of 1 and d(-2)?
4
Calculate the common denominator of (-4)/10 + 943/420 and 91/6.
84
What is the lowest common multiple of -9 - 375/(-45) - (-38)/3 and 370?
2220
Let k = 6/787 - -14905/6296. Calculate the common denominator of k and 0 + -1 - 66/(-9).
24
Let k = -962132/45 + 21379. What is the common denominator of k and -5/54?
270
Let d(i) = i**3 - 7*i**2 - 2*i + 46. Calculate the least common multiple of d(7) and 84.
672
Let j be 2 + (-2 - (2 + -1)). Let l = -2/6527 - -176251/71797. Find the common denominator of 339/(-18) + j/3 and l.
66
Suppose 6*l - 24 = 4*l. Suppose 0 = -6*i + 2*i + 12, -3*z + 4*i + 6 = 0. Calculate the lowest common multiple of l and z.
12
Let t = 966506/153 + -6317. What is the common denominator of -79/170 and t?
1530
Let l = 7/1130 + -86279/565. Let z = l + 297/2. What is the common denominator of -74/9 and z?
45
Let v(o) = o**3 + 6*o**2 - 17*o + 16. What is the smallest common multiple of 18 and v(8)?
6984
Let l = -464073/8878 + 13773/230. Let m = l + -2/193. Calculate the common denominator of m and -89/2.
10
Suppose 4*s + 119*h = 114*h + 1209, 0 = -3*s + 9*h + 843. Calculate the smallest common multiple of s and 24.
888
Let y(l) = -l**3 + 12*l**2 - l + 14. Let i be y(12). Suppose -i*a + 1 + 11 = 0. What is the least common multiple of 24 and a?
24
Let x be 26/4 - ((-30)/12 - -3). What is the common denominator of (x/105)/(7/105) and (-13)/(-10) + 0 + 1?
70
Let n = 46357750996982 - 1505057280310908456620/32466141. Let g = n + -2/67779. Let c = g + -15292/4311. What is the common denominator of c and -47/6?
18
Let g = 1/269 + -11047/4842. Let h = -17/79 - -3353/1264. What is the common denominator of h and g?
144
Let a = 256873874509738706459579691/7242410 + -35468010580695968849. Let g = a - 44951427/785. Let p = 2/3295 + g. Find the common denominator of -63/10 and p.
70
Suppose -3*m - 12 = -3*n - 3, 4*n - 2*m - 14 = 0. Suppose -b + 10 = x, x = -n*x - b + 30. Calculate the least common multiple of x and 32.
160
Let n = 10 + -7. Find the common denominator of (-61*4/(-8))/n and 1850/(-420) + (-1)/6.
42
Let w = -87 + 47. Let y = w - -56. Calculate the smallest common multiple of (y - 2)/((-10)/(-5)) and 7.
7
Let h = 22537/90 - 2188/9. Calculate the common denominator of h and -77/262.
1310
Let d be ((-9)/6)/(15/(-20)). What is the smallest common multiple of d/(-6)*53*(10 - 13) and 5?
265
Let a(l) = -l**2 - 11*l + 12. Let s = 39 + -19. Suppose -q - 2 + s = 0. Calculate the least common multiple of a(-10) and q.
198
Calculate the common denominator of -50 and (-8)/12 - (8 + 52532/(-6078)).
1013
Calculate the smallest common multiple of 42 and (1834/(-6) - (-3)/(-9))/(-2).
2142
Let g be 12/(4/((-3312)/28)). Let q = g - -358. Calculate the common denominator of 11 and q.
7
Let a(c) = -c**3 + 6*c**2 + 8*c + 14. Let p be (15 + -22)*1*-1. Calculate the smallest common multiple of a(p) and 27.
189
Find the common denominator of -133/36 and 3668/(-1080) + 3 - 6/15.
108
Suppose -c + 9 = 2*c - 3*w, -2*w = 6. Suppose c = -x + 3, 5*x + 0 = 2*f + 3. Let m = f - 4. What is the smallest common multiple of 7 and m?
14
Suppose -6*b - 7 = -7*b - 3*o, 36 = 4*b + 4*o. Suppose -53 = -2*a + 7. What is the lowest common multiple of a and b?
30
Suppose 0*u + 4*u = 909216. Let b = 5683584/25 - u. Let i = b - 9583/300. Calculate the common denominator of -62/9 and i.
36
What is the common denominator of (70/(-270))/((-2)/12) and 3/(-12)*(-150)/(-1 - 0)?
18
Suppose -58*o - 260 = -71*o. What is the least common multiple of o and 50?
100
Let l = -235/581 + -2/83. Find the common denominator of -10/49 and l.
49
Let y = 13411/9 - 1493. Find the common denominator of 61/144 and y.
144
Suppose 198 = 5*f - 302. What is the least common multiple of f and 120?
600
Let y = -59 - -437. What is the least common multiple of y and 9?
378
Suppose 0 = 4*r - 5*o - 30, -3*r - 1 = -o - 29. What is the common denominator of ((-4)/r)/((-9)/75) and -5/7?
21
Let a = 2021/2 + -1033. Find the common denominator of -27/10 and a.
10
Find the common denominator of 25/54 and (86/8)/((-315)/84).
270
Let k(n) = n**2 + 2*n - 3. Let f be k(-3). Suppose 2*b + 4*j = 16, -2*b + 3*j - 5*j + 14 = f. What is the least common multiple of 4 and (-546)/(-9) - (-8)/b?
124
Let h(r) be the first derivative of r**4 - r**3/3 + r**2 - r + 1. Let x be h(1). Find the common denominator of (50/x - -4)/(-30) and 13/12.
60
Suppose -46*k + 63*k = 136. Let r be 1/(1/(-1))*2. Let a(i) = i**2 + 2*i + 2. Calculate the smallest common multiple of a(r) and k.
8
Suppose 0*v = v - 11494. Let c be (-68893)/(-6) - (-80)/64. Let m = v - c. What is the common denominator of -87/22 and m?
132
Suppose 5*m + 37 - 12 = 0. What is the lowest common multiple of ((-4)/m)/((-2)/(-20)) and 70?
280
Let c be (64/6)/((-1)/3). Let i = 48 + c. What is the smallest common multiple of 4 and i?
16
Suppose -8*b + 437 - 221 = 0. Let q = -16 + 22. What is the lowest common multiple of q and b?
54
Suppose 4*f = -4*l + 59276, 5*f = -4*l + 81488 - 7398. Let b = f - 148259/10. Find the common denominator of -65/28 and b.
140
Let p be 5 + (-213595)/(-66) + 2/(-6). Suppose -4*h - 12975 = 5*c - 0*c, -2*h + 4*c = 6468. Let u = h + p. What is the common denominator of 93/14 and u?
154
Let x be (-8)/(-28)*-2 + (-1170532)/(-374640). Let i = 169/81 - 37633/18063. Let r = i - x. What is the common denominator of -107/12 and r?
60
Let l = 1977 - 1956. Suppose 0*n + n = 3. Calculate the lowest common multiple of l and n.
21
Suppose -8*n = -19*n + 154. What is the lowest common multiple of 228 and n?
1596
Let c(b) = -7*b + 6. Let j be c(6). Let m = 687 + -679. Calculate the least common multiple of m and ((-8)/3)/(2/j).
48
What is the common denominator of (-378)/(-105)*(-11)/20 and -9/20?
100
Suppose 0 = 46*p - 49*p + 198. What is the lowest common multiple of 72 and p?
792
Suppose 8*b = -8*b + 768. What is the lowest common multiple of 48 and b?
48
Suppose 0*t = 5*t. Suppose -2*h - n + 10 = -34, t = -3*n + 12. Calculate the common denominator of 2/h*(-41)/1 and -3/4.
20
Calculate the common denominator of 101/8 and 190/48*(-6)/(-30).
24
Let m = -244431/4 + 61886. Let u = m + -769. Calculate the common denominator of -47/14 and u.
28
Suppose 5*g + 21 = 10*g + 2*o, -5*g = -5*o. Find the common denominator of -53/14 and ((-13965)/(-612))/(-7) + g.
1428
Let i be 4/(-1)*3/2. Let g = i - -10. Suppose n - 5*n - 5*a + 23 = 0, 12 = 4*a. What is the lowest common multiple of n and g?
4
Suppose 6*t + 3 = 3*t, 4*v + 12247 = 5*t. Let y = 6383/2 + v. Let m = 141 - y. Find the common denominator of -49/10 and m.
10
Let i = 46 + -49. Find the common denominator of 38/(-80) + (-4)/10 and 46/9 + i*2/36.
72
Suppose 0 = 4*n + 12, -4*b + 7*b = 3*n. Let p be b*8/(-12) + 2. Find the common denominator of -71/4 and (-240)/(-198) - p/6.
44
Let f = 28 - 25. What is the common denominator of -91/4 and (-495)/20*f/36?
16
Let a = 49 + -35. Suppose 4*p - 80 = -p. What is the lowest common multiple of p and a?
112
Suppose -3*q = -h + 8, 5*h + 3*q = 2 + 2. Let r(v) = -19*v**h - v**3 - 4*v + 6*v + 31*v**2. What is the least common multiple of 10 and r(12)?
120
Let y = 25 - -1. Suppose -3*g - 8 = -5*g + 3*i, 3*g - i - y = 0. Let t = -2247 - -2259. Calculate the least common multiple of g and t.
60
Suppose -2*w + 5*w = 3, 2*g + 3*w = 51. Calculate the least common multiple of 30 and g.
120
What is the lowest common multiple of (-264)/(-28)*910/26 and 550?
1650
Suppose -3*u - 104 = u. Find the common denominator of (8 + -11)/((-44)/u) and 3/34.
374
What is the common denominator of (-231)/(-60) - (8 - 4 - 2) and 101/10?
20
Let x = 166616 + -68645829/412. What is the common denominator of 99/16 and x?
1648
Let k(t) = -3*t**2 - 123*t - 159. Calculate the lowest common multiple of k(-38) and 671.
2013
Let r = -24 - -16. Let v be 2/(r/(-