0*j + 5*g = -3*j - 336, -j - 3*g = 108. Let d = j + 120. What is the smallest common multiple of d and 3?
3
Suppose -n + 4*n + 7241 = 5*w, -5*w = n + 2427. Let g = n + 14455/6. What is the common denominator of g and ((-1474)/(-176))/((-2)/(-8))?
6
What is the common denominator of 71/4 and -4 - (130/(-66) - (3 - 3))?
132
Let t(n) = n**2 - 6*n + 4. Let l be t(4). Let x be 48/(-4 + (-20)/l). Let r = -30 + x. What is the lowest common multiple of 2 and r?
18
Suppose 0 = -19*z + 9*z - 360. Find the common denominator of (-4)/(128/z) - 18/24 and -5/42.
168
Calculate the common denominator of 6*(-20)/(-752)*8/20 and -3/8.
376
Suppose 0 = -14*j + 11*j - 477. What is the common denominator of 23/10 and (1 - j/(-135))*40?
90
Let g = -515 + 3555/7. What is the common denominator of g and 17/846?
5922
Suppose -36*n = -32*n - 36. Let t = 33 + -18. What is the least common multiple of t and n?
45
Let x = 24 - 16. Calculate the smallest common multiple of 10 and 7/(-56) - (-161)/x.
20
Suppose n + 1 = -4, -m = -2*n - 42. What is the least common multiple of 32 and m?
32
Let z = -5013/1216 + 143/38. Let f = 165/46 + 971/207. What is the common denominator of z and f?
576
Suppose -4*n - 1345 = -5*j, -5*j + 2*n + 249 + 1096 = 0. Let k = j + -1163/4. What is the common denominator of k and 31/3?
12
Let x = 9919773701 + -434783681462371/43830. Let v = 2/4383 - x. Find the common denominator of v and 77/16.
240
Let r = 94 - 85. What is the smallest common multiple of 39 and r?
117
Let q be ((-118)/(-4))/((6/4)/3). Suppose q + 5 = 4*a. Calculate the smallest common multiple of 22 and a.
176
Let z(h) = -h**2 - 4*h + 10. Let r be z(9). What is the common denominator of 65/16 and 25/(-10)*(r/35 - 0)?
112
Let k(c) = c - 15. Let q be k(12). Calculate the common denominator of -118*(12/4)/(-36) and q + 33/(-10) - -3.
30
Let y(w) = 6*w**3 - 2*w**2 - 2*w + 1. Calculate the smallest common multiple of 67 and y(1).
201
Calculate the common denominator of 32/(-225) - (-18)/81 and -47/5.
25
Suppose -19*j + 11*j + 64 = 0. What is the smallest common multiple of 18 and j?
72
Let j(v) = v**3 + 6*v**2 - 8*v - 5. Let q be j(-5). Calculate the common denominator of (-29)/q - (-20)/(-30) and 23/42.
420
Suppose f = -3*f + 16. Let i = -27 + 66. Suppose 0 = i*x - 47*x + 112. What is the lowest common multiple of f and x?
28
Suppose 11*w - 126 = 4*w. What is the lowest common multiple of (-1)/(-3) + (-138)/(-18) and w?
72
Let g(o) = 2*o**3 - o**2 + 2*o - 1. Let l be g(1). Let z(y) = -y - 1. Let s be z(l). What is the common denominator of -29/28 and 1/s - 578/120?
140
Let p be ((-23)/3)/(107/3). Let g = p + -5563/1498. Find the common denominator of g and 87/152.
1064
Suppose 1320 = 47*r - 35*r. Calculate the smallest common multiple of 11 and r.
110
Suppose 2 = -p - 3, 4*p - 166 = -3*o. Let d = -55 + o. Calculate the least common multiple of d and 6.
42
Let v = 11858 - 948739/80. What is the common denominator of v and 7/55?
880
Let h be (10/60)/((-1)/(-19105)). Let t = h + -3167. Calculate the common denominator of t and 2/7.
42
Let a be ((-346)/(-3))/(160/54). Let k = 3543 - 17561/5. Let n = k - a. Calculate the common denominator of 53/20 and n.
40
Let k = -144821/12 - -12060. Find the common denominator of k and 172/(-120) - -4 - -1.
60
Let n be (-6 - -3 - 3101) + -4. Let l = 2183 + n. Let j = -1801/2 - l. Calculate the common denominator of -10/9 and j.
18
Suppose -n = 4*n + 3*h - 103, 0 = -n - 2*h + 15. Let r = n - 11. Calculate the smallest common multiple of r and 4.
12
Calculate the common denominator of 71/18 and (2/5)/(50/(-4625)).
18
What is the least common multiple of (72/15)/4*(-420)/(-56) and (-1 + (1 - -1))*1?
9
Suppose -5*q - 2*z + 682 = 0, -14 = 4*z + 2. Calculate the smallest common multiple of q and 322.
966
Let s = 10 - 11. Let r = -11 - s. Let t = r - -21. Calculate the least common multiple of 3 and t.
33
What is the common denominator of -23/6 and 44/(-22) - (-952)/514?
1542
Let j = -3 + -1. Let t(l) = 3*l + 35. Let g be t(-10). Calculate the common denominator of ((-55)/150)/(j/g) and 57/10.
120
Let w be 5 + -1 + (9 - 9). Let g = 24 - w. Calculate the lowest common multiple of 4 and g.
20
What is the smallest common multiple of 15 and -1*(-16)/28*(5 + 2)?
60
Let x(g) = -6*g + 10. Let p be x(2). Calculate the lowest common multiple of (-4)/(-16)*p*(-14)/7 and 70.
70
What is the common denominator of (-12)/(-11) - (3 - 2) and 6 - (8 + 440/(-48))?
66
Suppose -3066 = 60*c - 74*c. What is the least common multiple of 4 and c?
876
Let v = 820 - 61492/75. Calculate the common denominator of v and 91/12.
300
Let p(c) = -c**3 + 53*c**2 + 4*c - 191. What is the least common multiple of 48 and p(53)?
336
Let d(c) be the third derivative of c**4/12 + c**3 + c**2. Let k be d(-4). Calculate the common denominator of 0 + k - 17/16 and -37/6.
48
Suppose -3*t = -0*t + 5*w - 1, 6 = 3*w. Calculate the common denominator of ((-11)/t)/(-1) - -3 and (10/(-40))/(5/(-92)).
15
Let x(d) = 7*d + 1. Suppose 42*k = 28*k + 252. What is the lowest common multiple of k and x(3)?
198
Find the common denominator of 91/4 and -246*(-8)/468 + (-6)/9.
52
Suppose -2*b = 7*b - 2322. Suppose 0 = k + 3*s - 60, 5*k - 2*s - 42 - b = 0. Calculate the least common multiple of k and 6.
60
Let d = 423 + -595. Let o be 16/20 - d/10. Let m(s) = s**2 - 19*s + 24. Calculate the smallest common multiple of 6 and m(o).
6
Let w be 2/8 + 270753/(-4). Let a be 1/5 - w/(-40). Let d = 16943/10 + a. What is the common denominator of -43 and d?
10
Let y be 15/(-3)*(0 + -1). Suppose -5*u + y*l - 5 = 0, 7 = -u + 4*l - 6. What is the lowest common multiple of (u + -2)/((-3)/(-24)) and 7?
56
Let p(g) = 14 + 6*g + 15*g - 22*g. Suppose -i + 3*t = -5*i + 133, -2 = 2*t. What is the least common multiple of i and p(8)?
102
Calculate the common denominator of 13/936*41/(-1) and 59/9.
72
Let m be (-394)/(-708) + (-6)/36. Let u = -4943/118 + m. Let n = 4282 + -42763/10. Calculate the common denominator of u and n.
10
Let m = 100 - 144. Let c = m + 74. What is the common denominator of c and 20/27?
27
Let s be 523/(-8)*814/33. Let h = s + 1624. Find the common denominator of 5/(3*2/60) and h.
12
Let u(m) = m**3 - 11*m**2 + 7*m - 13. Let d be u(11). Suppose 6*a - 20 = d. Calculate the smallest common multiple of (-1*2 - -2) + 22 and a.
154
Suppose -h - 4 = -12. Let l(i) = -i + 17. Let s be l(0). Let a = s + 1. What is the smallest common multiple of h and a?
72
Suppose 0*f - 7*f = -105. What is the smallest common multiple of f and 9?
45
Let b = 5/199 + 14517/398. Calculate the common denominator of b and 30/(-12)*((-103)/(-25) - 2).
10
Let c = -233 - -239. Calculate the least common multiple of c and 21.
42
Let p be (-5)/(-6)*-28*(-3)/53. Let y = p - 3481/2756. Find the common denominator of y and 59/22.
572
What is the smallest common multiple of 11 and (-1530)/(-60) - 1/(-2)?
286
Let s = -162 - -187. Calculate the least common multiple of 45 and s.
225
Suppose 3*n - 135 = -3*t, t = -3*n + 157 - 28. Let u(i) = 12*i + 210. Calculate the lowest common multiple of u(-17) and n.
42
Suppose 4*r - 22 = 10. Let d = -240 + 247. Calculate the least common multiple of r and d.
56
Suppose 0 = 2*h + f - 9, -f - 20 = -4*h + 1. Let v(t) = -t - 2. Calculate the smallest common multiple of v(-6) and h.
20
Suppose 5*g = -2*x + 1413, 153*x - 152*x + g - 702 = 0. Calculate the smallest common multiple of 9 and x.
2097
Let f = 10699/4 - 2696. Calculate the common denominator of f and (-5)/(-10) - 134/(-72).
36
Let t be 145/(-11) + (-4)/(-22). Let g = 20 + t. What is the lowest common multiple of -2 + ((-20)/(-2) - 1) and g?
7
Let s be (-2 - -1)*-1*15. Calculate the common denominator of (21/s)/((-4)/30) and (2 + (-120)/125)/(16/(-10)).
20
Suppose -5*l + n = -30, 4*l - n + 0*n - 24 = 0. Let a = -11 + 11. Suppose 3*k + a = -3*w - 6, w = -5*k + 2. What is the least common multiple of k and l?
6
Let k(a) = 9*a**3 + 2*a**2 + 2*a + 1. Let m be k(-1). Let c(h) = -h - 9. Let s be c(m). Let t = s + 3. Calculate the least common multiple of 7 and t.
14
Let q(y) = y**2 - 28*y + 125. What is the smallest common multiple of 20 and q(0)?
500
Let g(h) = 3*h**2 - 2. Let c be g(-2). Let a = -5 + c. Suppose -13 = -f - a*z, 4*f - f + 3*z - 39 = 0. Find the common d