 - 2) + -42. Let c = i + 69. Calculate the smallest common multiple of c and 18.
54
Let b = -271049/32 - -8468. Find the common denominator of b and 5/176.
352
Let z(d) = -d**2 - 9*d + 11. Let n be z(-6). Suppose -5*r + 39 = -4*s, 2*s + 0*r + 47 = -3*r. Let p = n - s. What is the common denominator of p and -1/7?
7
Let p(o) = 2*o + 10*o + 8 - 3*o - 11. Calculate the smallest common multiple of 12 and p(1).
12
Let s be ((-2791)/(-636) - 1)*1. Let l = s + 1016917/212. Let r = l + -4782. Find the common denominator of 107/10 and r.
30
Suppose 4*b - 12034 = 4*l - 34402, 3*l - 5*b - 16782 = 0. Let w = 145375/26 - l. Calculate the common denominator of -91/2 and w.
26
Find the common denominator of -27/11 and ((-15)/(-252))/((-30)/1020).
462
Let f(j) = 4*j - 6. Let n be f(3). Suppose 3*k = n*k - 54. Calculate the lowest common multiple of 12 and k.
36
Suppose -3*w - 2*f + 32 = -4*f, 2*w - 5*f - 3 = 0. Let o = -2 + w. Let z = 18 - o. Calculate the least common multiple of z and 8.
24
What is the common denominator of (5/22)/((-2)/26) and (63/(-168))/((-9)/(-356))?
66
Suppose -1305*n = -1312*n + 126. Let t(l) = 17*l + 2. What is the smallest common multiple of n and t(2)?
36
Suppose 3*m = 283 + 113. Calculate the smallest common multiple of 18 and m.
396
Let r = 2351/25560 - 8/355. Calculate the common denominator of r and -139/36.
72
Let j(d) = 3*d**3 - 5*d**2 + 8. Calculate the smallest common multiple of j(3) and 88.
88
Suppose -4 = -2*r - 0. Suppose -6*n + 2*n + 130 = -r*y, -40 = -n - 2*y. Calculate the lowest common multiple of n and 14.
238
Let z(y) = -6*y - 138. Calculate the smallest common multiple of z(-24) and 880.
2640
Let h be (-2)/4 - 171/(-6). Let u = h + -8. What is the least common multiple of 1/(-7) - (-145)/35 and u?
20
Suppose -5*i = -16*f + 20*f - 74, -3*f + 3*i + 42 = 0. What is the lowest common multiple of 336 and f?
336
Let h = 28 + -17. Let t = -1 - 2. Let y = h + t. Calculate the least common multiple of 4 and y.
8
What is the smallest common multiple of 18 and (-2)/3 - (-684)/(-108) - -97?
90
Let x = -30 - 2. What is the common denominator of (18/x)/((-1)/11) and (-366)/(-81)*39/(-52)?
144
Let n(u) = -2*u - 1. Let q be 96/(-120) + (-14)/(-5). Suppose i + q*i + p = 18, -2*i + 4 = -2*p. What is the smallest common multiple of i and n(-3)?
5
Let f = -15/98 - 1291/49. What is the common denominator of -119/12 and f?
12
Calculate the smallest common multiple of (-1)/3*(21 + -120) and ((-3)/2)/((-1)/18).
297
Let k(h) = -11*h + 5. Let j(a) = -13*a + 5. Let i(r) = -6*j(r) + 7*k(r). Calculate the least common multiple of 1*-7*-1 + -2 and i(5).
10
What is the common denominator of (-96)/160*30/8 and -17/40?
40
Suppose 2*n - 16089 = 3*y, -5*y = 6*n - 2*n + 26815. Let h = y + 96407/18. Find the common denominator of (-13*2/6)/((-42)/(-72)) and h.
126
Let a = -35105/33 - -1063. Find the common denominator of a and -32/105.
1155
Let h(v) = v**2 - 9*v - 46. Calculate the lowest common multiple of h(-10) and 126.
1008
Let z(d) be the first derivative of -d**2 - 9*d + 5. Find the common denominator of -22 and z(-6).
1
Let n(h) = -3 + 1 + h - 53*h**3 + 59*h**3 - h**2. What is the smallest common multiple of n(2) and 2?
44
Suppose 3*h - 62 = -r, 4*r - 5*h - 172 = r. Calculate the common denominator of r/(-16) + -2 + 3 and (8/(-12))/(553/3792).
112
Let r(p) = p - 16. Let i be r(-9). Let g = 41 + i. Calculate the least common multiple of 12 and g.
48
Let s be (2/(-386))/(49/48489). Let t = 3/193 - s. Calculate the common denominator of -7/11 and t.
77
Let r = -22373/180 + 1099/9. What is the common denominator of r and -99/80?
240
Let s(y) = 58*y**2 + 3*y - 2. Let v be s(1). Suppose -5*x + 60 = -0*t + t, -v = -3*x + 4*t. What is the smallest common multiple of x and 7?
91
Suppose 17*i - 7*i - 100 = 0. What is the least common multiple of i/(-35) - 46/(-14) and 18?
18
Let z = -1423033/4960 + 8874/31. Find the common denominator of -57/8 and z.
160
Suppose -2*m + 14 = -s, 8 = -2*m + 6*m. Let d(z) = 11*z + z**2 + 81 - 39 - 24. What is the smallest common multiple of 8 and d(s)?
8
Let s = 953/96 + -5/96. Let m = -1/820 + 8037/820. Find the common denominator of m and s.
40
Let g = -913 + 1737/2. Let q = -3254 - -32493/10. Calculate the common denominator of q and g.
10
Let s(t) = -t**3 - 8*t**2. Let j be s(-8). Let m(b) = 6*b + 9 - 6*b - b - b**3. What is the least common multiple of m(j) and 10?
90
Let i = 15917/10 + -1593. What is the common denominator of i and (-1 - -7) + (15 - (-3303)/(-150))?
50
Suppose n - 20 = -4. Suppose -31 = 2*d - 5. Let a = d - -19. What is the lowest common multiple of a and n?
48
Let o(f) = 5*f - 5. Let v be o(2). Suppose -v*y = -7*y + 20. Suppose 5*d = 2*d + 42. What is the smallest common multiple of d and y?
70
Let v = -5189 + 908071/175. Find the common denominator of -83/50 and v.
350
Calculate the common denominator of 231/(-1274) - (2 + (-140)/49) and -105/52.
364
Let q = 458 - 462. Let h(l) = 45*l**2 - 1. Let v be h(1). What is the lowest common multiple of v/1*(-2)/q and 2?
22
Suppose -17 + 81 = 2*u. What is the common denominator of 59/(-2)*(-8)/u and 67/(-5) + (-1 - -4)?
40
Let q(d) = d**2 + 13*d - 2. Let i(w) = -w**2 - w + 6. Let t be i(-5). What is the lowest common multiple of q(t) and 30?
60
Let x = -22 + 50. Suppose -5*i = 2*c - 46, -11*c + 36*i - 39*i = -204. What is the least common multiple of x and c?
252
Find the common denominator of -2 - (6/4)/(7/203) and 69/4.
4
Calculate the lowest common multiple of 18/(-153) + 4888/221 and 388.
4268
Let z = -6 - -4. What is the common denominator of (-1)/(z/(-3) - (-296)/(-606)) and -61/2?
18
Let p be -2 - (2925/(-280))/5. Let c = 83/168 + p. Find the common denominator of -47/10 and c.
60
What is the least common multiple of 4 and 6/15 + 15/((-450)/(-528))?
36
Suppose 4*g = o + 175, 0 = -5*g + 4*o + 60 + 167. Let q = -37 + g. What is the smallest common multiple of q and 32?
96
Let h(j) = 3*j - 13. Let w(s) = s**2. Let p be w(1). What is the smallest common multiple of -3*p/3*-3 and h(7)?
24
Let v(h) = -h + 10. Let n be v(12). Calculate the common denominator of 41/16 and (-649)/(-198) + n/(-6).
144
Let c = -8801/48 + 1111/6. Let s = 365473/18 + -20311. Find the common denominator of s and c.
144
Suppose 2*n = -3*n + 60. Let z be n/8 + (-3)/6. Suppose -3*k + z + 17 = 0. What is the smallest common multiple of k and 2?
6
Let s = 506 + -281. Suppose 0 = 17*d - 115 - s. What is the least common multiple of d and 18?
180
What is the common denominator of 8*(-14)/(-392)*11/4 and -113/1050?
1050
Let m(j) = -7*j + 88. Calculate the lowest common multiple of 12 and m(12).
12
Let y = 15 + -12. Suppose -3*j - 4*p - 835 = 0, -y*j - j = 5*p + 1115. Find the common denominator of -137/18 and (-16)/4 - j/(-36).
36
What is the lowest common multiple of 1 + 9 + 3 - (4 + -6) and 1?
15
Suppose 305 = 6*s + 263. What is the lowest common multiple of 249 and s?
1743
Let w = 1951 - 1383. What is the least common multiple of w/6*30/20 and 18?
1278
Calculate the common denominator of (201/(-14))/(3 - 7 - -1) and 0 + (-1)/(-2)*-79.
14
Let w be 6/8*24/9 + 1. Suppose 3*t + 6 = w*q - 24, -q + 13 = -4*t. What is the smallest common multiple of q and 27?
27
Suppose 0*o - o + 115 = 4*c, -5*c + 3*o = -131. What is the least common multiple of ((-378)/(-3))/14 - -1*3 and c?
84
Let y = -1348 + 9419/7. What is the common denominator of y and 4*((-260)/(-24))/5?
21
Suppose -18 - 12 = -3*u + 4*n, 5*u - n = 33. Calculate the lowest common multiple of 9 and u.
18
Let d = -78 + 96. What is the common denominator of -47/23 and ((-3)/d)/(-2 + 628/316)?
138
Let b = -1 + 15. Let n(q) = -15*q. Let h be n(-1). What is the lowest common multiple of 1/((h/(-42))/(-5)) and b?
14
Find the common denominator of -101/32 and (-3)/(-6) + 227/(-12) + 6.
96
Let w(d) = -d**3 + d**2 + 501. Let y be w(0). Calculate the common denominator of 4/26 + 2/((-1248)/1084) and 6/30 - y/(-70).
84
What is the common denominator of 18/33 + (-24833)/(-10032) and -155/66?
528
Let v be (-44)/(-55) - (-424)/(-5). Let z = -16 + 30. Find the common denominator of 2/(-5)*(-1455)/v and z.
14
Let r(f) = f + 10. Let l be r(-9). Suppose 5 = 2*p + l. Suppose 3*u + 5*h - 65 = -p*u, u - 13 = 2*h. What is the smallest common multiple of