432
Let q be 10/(-3) + (-28)/42. Calculate the common denominator of (-972)/32*q/30 and 25/22.
220
Suppose -2*a + 13 = -1. Calculate the common denominator of 27/45 - (-91)/10 and (-3666)/924 - (-2)/a.
110
Let g = -437 - -497. Calculate the lowest common multiple of 45 and g.
180
Suppose -p + 167 = 4*z - 148, z - 74 = -5*p. Suppose -4*n + z = -3*o, 2*n - n - o - 21 = 0. What is the lowest common multiple of 36 and n?
144
Suppose -2*i = -5*v + 2*i + 842, -2*v = -4*i - 332. Calculate the lowest common multiple of 4 and v.
340
Let k(v) = -v**3 - 9*v**2 - 4*v + 3. Let o be k(-7). Let b = -47 - o. Suppose -m = -9 - 11. Calculate the lowest common multiple of b and m.
20
Let w = 59 + -137. Let c = -58 - w. Calculate the lowest common multiple of 14 and c.
140
Let f = 2983/18 + -166. Calculate the common denominator of 8/(-6)*(-87)/(-132) and f.
198
Let k(t) = -t**2 - 14*t - 34. Let q be k(-11). Find the common denominator of q + 2 - 580/160 and 1/6.
24
Let k = 134 - 118. Calculate the least common multiple of 24 and k.
48
Suppose 4*n + 1 - 17 = 0. Calculate the common denominator of (279/(-15))/(n/(-10)) and 47/13.
26
Suppose 16*v = 15*v + 16. Find the common denominator of -119/20 and 4/v*404/(-14).
140
Let f = 511 - 508. What is the least common multiple of f and 30?
30
Let u = 2853283/1010040 - -2/25251. What is the common denominator of u and -95/32?
160
Let l be 5 + -3*3*2/18. Let r(s) = -s**2 + 8*s - 10. Calculate the least common multiple of (3/(-2))/(2/(-8)) and r(l).
6
Suppose -2*z - 18 = -2*r, 28 = 2*r + 3*z - 5. Let o(s) = -s + 1. Let u be o(-2). What is the smallest common multiple of (72 - u)/3 + -1 and r?
132
What is the least common multiple of 112 and (-49)/2*(-13)/((-91)/(-14))?
784
Let r = -6729 + 161551/24. Calculate the common denominator of r and -9/56.
168
Suppose -2*n + 61 = 3*n - 3*m, -4*n - m = -42. Let u(q) = q**2 - 9*q - 38. Let b = -52 - -65. What is the lowest common multiple of n and u(b)?
154
Suppose 5*o + 7 - 17 = 0. Suppose -12 = -3*m - o*a - a, 0 = -5*m + a + 20. What is the lowest common multiple of -1*(0 - -1)*-2 and m?
4
Let f(i) = 26*i - 51. Let v be f(16). Let u = 773/2 - v. Let r = -86/45 + 34/5. What is the common denominator of u and r?
18
Let z = -55 - -77. Suppose 0 = -u + 4*k + 30, -3*k - 6 = -0*k. Calculate the least common multiple of z and u.
22
Calculate the common denominator of 119/66 and (-500)/32*(-60)/(-50).
132
Suppose -561 = -15*m - 111. What is the least common multiple of m and 5?
30
Let d = -171/2 + 281/3. Find the common denominator of d and (26/(-12))/((-4)/18).
12
Let h = 5 + -6. Let r be h/6 - 110/(-12). Find the common denominator of r + -6 + 14/16 and -6.
8
Calculate the common denominator of 24*(-4)/540*(-8)/(-3) and -149/6.
270
Let q = 338 - 16911/50. Calculate the common denominator of q and 83/20.
100
Let q be (9/3 - -1) + -2452. Let z = q - -14737/6. Calculate the common denominator of -21/17 and z.
102
Find the common denominator of (-42)/28 - (-3)/((-369)/(-312)) and -61/12.
492
Let k(o) = -3*o + 2. Let h be k(1). Let l(w) = -w**2 - 10*w + 6. Calculate the smallest common multiple of l(-8) and ((-1)/2)/(111/(-108) - h).
198
Suppose -4*f + f + 27 = 0. Let n(i) = i - 6. Let z be n(f). Suppose -z*j - 1 = -0*k + 5*k, -k + 7 = 3*j. Calculate the lowest common multiple of j and 9.
9
Let h = 28 + 16. Find the common denominator of (-1)/(6/159) - -9 and 0/(-2) + (-194)/h.
22
Let p = 19 - 15. Let m be (5 - 4) + (-9290)/p. Let k = m - -18499/8. What is the common denominator of 131/12 and k?
24
What is the common denominator of -105/22 and 6/(168/(-1855))*(-2)/(-5)?
22
Let a = 150 - 144. Calculate the least common multiple of a and 5.
30
Let g = -1828/3 - -627. Find the common denominator of 5/50 + (-995)/75 and g.
6
Let f = -426 + 429. What is the least common multiple of 51 and f?
51
Let v = -82 + 53. Let q = v + 31. Calculate the lowest common multiple of 8 and q/2 + -2 - -11.
40
Let z = 11030 + -7588. Let v = z + -75679/22. Find the common denominator of v and -29/20.
220
Let k(r) = r**2 - 9*r + 12. Let w = -43 - -52. What is the lowest common multiple of k(w) and 3?
12
Suppose -4*y - 2318 = 2*q - 864, 5*y + 2*q + 1819 = 0. What is the common denominator of 103/22 and y/330 - (-3)/9?
22
Let a = -17 - -19. Calculate the smallest common multiple of 5 and a.
10
Let n = 446461/42 + -10627. Find the common denominator of n and -38/63.
126
Find the common denominator of 197/420 and 6/(3960/626) - 1.
4620
Let g(b) = b**2 - 2*b + 1. Let o be g(2). What is the least common multiple of 18 and -3*(-4 - (o + -6 + 3))?
18
Let a(v) = -v**3 - 3*v**2 - 1. Let s be a(-4). What is the lowest common multiple of 20 and (-2)/((s/(-12))/5)?
40
Let x(w) = w**2 - 10*w + 20. Let k be x(10). Let y = k + -18. What is the least common multiple of 56 and y?
56
Let v = 1681/35 - 839/14. Suppose -4*l = -2*w - 3*w - 34, 5*l - 3*w - 36 = 0. What is the common denominator of (6 - 22/4)*109/l and v?
60
Let t = 12 + -13. Calculate the common denominator of 16/(-18) + 3 + t + -1 and (-2)/(-6)*150/52.
234
Let j be (-12)/66 + (-13)/(-11). Let g be j - (-2)/((-110)/219305). Let m = 3982 + g. Calculate the common denominator of m and 127/6.
66
Let k(x) = -x**3 - 12*x**2 - 9*x + 24. What is the smallest common multiple of k(-11) and 375?
750
Find the common denominator of 103/154 and 41/9 - (207/18)/23.
1386
Let r = 89 + -110. Find the common denominator of 91/16 and (r/(-70))/((-24)/(-470)).
16
Let l = -12766/3 - -153299/36. Let d = 18691/780 + -722/39. Find the common denominator of d and l.
180
Let c(s) = -15*s + 105. What is the least common multiple of 36 and c(5)?
180
Let x = 47/429 - -39251/13728. Find the common denominator of x and (-1)/(-4) + 93/(-16).
32
Let p = -126 - -133. What is the least common multiple of 3 and 6/2 - 1*(-21)/p?
6
Let s be (-9)/(-3) + -15 + 2. Let a be s/55 - (-1285)/(-11). Calculate the lowest common multiple of 9 and 6/(-15) - a/5.
207
Let s(t) = -t**3 + 2*t**2 + 7*t + 1. Let i be s(4). What is the lowest common multiple of 2*(i + 44/8) and 4?
20
Suppose 35*a - 39*a + 56 = 0. Suppose -4 = -2*j + 4*i + i, -3*j + 2*i + 6 = 0. What is the smallest common multiple of j and a?
14
What is the lowest common multiple of (3 + -2)/((-8)/(-400)) and 9?
450
Let t(z) = 4 + 8 + 3*z - z + 0*z. What is the smallest common multiple of t(-4) and 6?
12
Let x = -14497 + 8347. Let f = x - -184429/30. What is the common denominator of f and 131/48?
240
Suppose -5*f = 631 - 5231. What is the least common multiple of 13 and f/90 + (-2)/9 - -1?
143
What is the common denominator of (-20)/(-6) + (-2)/(-6) and (-154)/21*(1 - 225/36)?
6
Suppose 0 = -5*g + 3*k + 265, 4*g - 61 = 5*k + 138. Suppose -7*l + 7 = -g. Suppose 2*z + 1 = 15. What is the lowest common multiple of l and z?
63
Let p = 94237/38450 + 7/769. Find the common denominator of -107/180 and p.
900
Let v(p) = 2*p - 1. Let j be v(1). Let b(m) = 5*m**2 + m. What is the least common multiple of 18 and b(j)?
18
Let y be (1*-344)/(-2) - 4. Find the common denominator of (-2)/7 + 9/y*-81 and 54/85.
680
Let j be -3 + -9*(-12)/18. Suppose 58 = -4*u - j*l, 5*l - 16 = 4*u + 58. What is the common denominator of 107/6 and u?
6
Let t = 55/89 - -7701/356. Calculate the common denominator of (-2)/33*(-27)/4 and t.
44
Let y = 143/62 - 9142/3379. Find the common denominator of y and 77/18.
1962
Let k = 455 - 336. Calculate the lowest common multiple of k and 51.
357
Suppose 4*z - 32 = 2*z + 4*w, 2*z - 32 = 3*w. Let c = z - 9. Let y(n) = n**3 + n**2 + n - 1. Calculate the smallest common multiple of y(1) and c.
14
Let v = 3 - -3. Suppose 5*r + 104 = 79, 0 = -5*i - 4*r + 60. What is the lowest common multiple of v and i?
48
Suppose -5*p = -2*p + 1656. Calculate the common denominator of 9/44 and 3/5 + p/80.
220
Let t = 150509/792 - 1700/9. Let k = 198 + -845/4. What is the common denominator of t and k?
88
What is the common denominator of (-3)/((-11)/(77/(-28))) and -27/98?
196
Let u = -76121/14856 + -2/1857. Find the common denominator of -7/29 and u.
232
Suppose 0*d - 8 = 2*d - 4*a, -5*a = 4*d - 49. What is the common denominator of 59/7 and 411/264 + d/(-33)?
56
Let b = 7/487 + -9400/10227. Calculate the common denominator of b and -125/192.
1344
Suppose 3*c - 17 = -