5. Suppose t*u + 21 = 54. Calculate the least common multiple of n and u.
55
Let o(x) = x**2 - 3. Let y(w) = 5*w**2 - 17. Let l(f) = 34*o(f) - 6*y(f). Calculate the least common multiple of l(1) and 4.
4
Let c = -62853/16 + 3930. What is the common denominator of -33/40 and c?
80
Let x(s) = -2*s**2 - 26*s + 28. What is the least common multiple of x(-12) and 24?
312
Let m be 4*(6755/(-16))/(-1). Let c = -1674 + m. Calculate the common denominator of -11/4 and c.
4
Suppose 2*f - 6 = -4*f. Let c(a) = -a**2 + 13*a + 46. What is the lowest common multiple of c(14) and f?
32
Let j be 4375382/150924 - (4 - 4). Let f = -33298317491/1069296540 + j. Let k = 1/4251 - f. What is the common denominator of k and -101/14?
140
Suppose -240*p + 251*p = 121. Calculate the smallest common multiple of 157 and p.
1727
Suppose 0*q = 3*q - 12. Suppose 0 = z + g + 10, q*g = -10 - 10. What is the lowest common multiple of 17 and (-30)/25*z/2?
51
Let g = 356 - 245. What is the least common multiple of 27 and g?
999
Let n = -1659 + 1670. What is the lowest common multiple of n and 124?
1364
Suppose 2*v - 6*v = -56. Let q be (-9)/(-36)*15*8. Suppose n + v - 4 = 5*i, 0 = -5*i - 3*n + q. Calculate the smallest common multiple of i and 11.
33
Let z = 29110 + 75882. Let f = 24148199/230 - z. Calculate the common denominator of f and 65/16.
1840
Let x = 1507/4 + -378. What is the common denominator of x and -27/2?
4
Suppose -m - 16 = -5*m, 2*n - m = 36. What is the lowest common multiple of n and (-1)/(-4) + (-110)/(-8)?
140
Calculate the common denominator of 340/(-221) - (-1)/(-4) and -77/8.
104
Let a(j) = j**2 - 47*j + 139. What is the smallest common multiple of a(3) and 488?
3416
Suppose 2677 = -10*t - 1453. What is the common denominator of (-1)/(-8)*t/28 and 35/12?
96
Suppose -4*k + 9*z = 4*z - 36, 0 = -4*k - 4*z. Suppose 4*f + 28 = 5*a + 6, 34 = k*a + 5*f. What is the smallest common multiple of a and 2?
6
Calculate the smallest common multiple of (-4 + 325/52)/((-3)/(-8)) and 12.
12
Let q(l) = -2*l**3 - 18*l**2 - 48*l - 7. Calculate the smallest common multiple of 171 and q(-7).
1197
Suppose -4*d + 20*k = 21*k - 98, 5*d - 4*k - 133 = 0. What is the least common multiple of d and 175?
175
Let l = -1037913 - -6193159/6. Let m = -5735 - l. What is the common denominator of m and -91/22?
66
Let p be (-344)/12*(1281/24 + -2). Let l be ((-6)/(-4))/((-15)/14860). Let r = l - p. Find the common denominator of r and -31/20.
20
Suppose -6*b + 3 = -15. Suppose 5*n = -3*h + 33, h - 2*n = b*h - 26. What is the least common multiple of 22 and h?
176
Let h be 144278/21 + 0 + -2. Let x = h - 6870. What is the common denominator of -55/6 and x?
42
Suppose 0 = -59*o + 94*o - 1470. What is the smallest common multiple of o and 182?
546
Suppose 53*g = 63*g - 120. Suppose k + 69 = 4*l, -26 + 4 = -2*l - 2*k. What is the smallest common multiple of l and g?
48
Suppose 102*k = 108*k - 12. What is the least common multiple of 180 and k?
180
Let w = 22889/7 + -6547/2. What is the common denominator of w and -73/32?
224
Suppose -64 + 52 = -q. What is the smallest common multiple of q and 27?
108
Let j(x) = 2*x + 33. Let u(r) = 2*r**2 + 6. Calculate the least common multiple of u(0) and j(-11).
66
Let m = 523 + -185. Calculate the lowest common multiple of m and 7.
2366
Suppose -1 = -3*k + s - 7, k = 3*s - 2. Find the common denominator of -113/10 and 4/k + 392/32.
20
Let p = 166 - 163. Suppose 4*q = -2*b - 186, 5*q = 2*b + q + 218. What is the common denominator of (12/32)/p*b and -77/6?
24
Let d(a) = -10*a - 36. Calculate the lowest common multiple of 10 and d(-4).
20
Let d = -2554 - -15253/6. What is the common denominator of d and -115/474?
474
Find the common denominator of -39*(442/(-108) - -4) and -53/96.
288
Suppose -4*m = 2*k - 4, -4 + 2 = -2*m - 4*k. Let l(y) = 5*y**2 - 3*y + 4. Calculate the lowest common multiple of l(3) and (-6)/(12/(-32)*m).
80
Suppose 0 = 4*h - 3*y + 29, -h - 4*h - 3*y - 16 = 0. Let a = -2889/2 - -1401. What is the common denominator of 10/(-30) + h/8 and a?
24
Suppose -2*l + 150 = -j - j, -2*l - 4*j = -180. What is the least common multiple of l and 20?
80
What is the common denominator of -49/27 and 6/(-21) - 0 - (-500)/(-4032)?
432
Let r be 260/15 - 8/(-12). Calculate the lowest common multiple of 6 and (-14)/(-18) - (-4)/r.
6
Let b = 120 + -121. Calculate the least common multiple of 5 - 10 - 15/b and 16.
80
Let f(i) = -10*i**2 - i + 2. Let g be f(2). Let r = -15569 + 218063/14. What is the common denominator of r and 910/g - (-2)/(-2)?
28
Suppose 15 = l + 4. Let s(v) = -11 + 6*v + l + v. What is the smallest common multiple of s(1) and 7?
7
Let a(f) = -f**2 + 19*f. What is the lowest common multiple of ((-75)/(-9))/1 - 1/3 and a(17)?
136
Suppose 0*w - 3*w + 141 = 0. Suppose -2*z - 4 = 5*s, 356*z - 357*z + 4 = s. Calculate the smallest common multiple of z and w.
376
Let f(a) = -a + 26. Let p be f(5). Let z = 26 - p. What is the least common multiple of z and 10 - 0/(-1)*-1?
10
Suppose -2*l - 2*y - 5 = -1, l - 3*y - 18 = 0. Let q(g) = -g**3 + 3*g**2 - g + 3. Let j be q(l). Find the common denominator of (j - -3) + (-206)/12 and 75/14.
42
Let v(a) = -4 + 4*a + 3*a**2 + 2 + a + 0*a**2 - 2*a**3. Let u be v(3). Let j = -6 - u. What is the smallest common multiple of j and 22?
88
Calculate the common denominator of (154/(-48))/7*(-18)/8 and 23/40.
160
Let q = -60 - -74. Suppose 0*u - 18 = -u. Calculate the least common multiple of u and q.
126
Let n(k) = 2*k + 20. Let u be ((-4)/6)/(-5 + (-462)/(-90)). Calculate the lowest common multiple of n(u) and 9.
90
Let v(k) = k**2 - 6*k - 15. Let q = -120 - -129. What is the lowest common multiple of v(q) and 24?
24
Suppose -5*y - 21 = -8*y. Let c be 19/y + (-14)/(-49). Calculate the common denominator of 45/11 and (c/27)/(5/(-155)).
99
Calculate the common denominator of 3/20*18/324*-146 and 17/33.
660
Let q = -319 - -326. Let m = -6 - -8. Calculate the smallest common multiple of m and q.
14
Let i = -827/40 - -169/8. Find the common denominator of (1 + 5/8)*(-11 + 5) and i.
20
Let n = 50 + -19. Suppose -3*t - y + n = 0, -7 = -t + 2*y - 4*y. Calculate the lowest common multiple of t and ((-77)/(-33))/(14/42).
77
Let b be (-6654)/54 + 2/9. Let d = b - -128. Calculate the smallest common multiple of 14 and d.
70
Let r be (-5 - 1)*(-10)/(-4). Let z be 174187/8820 + r/10. Let h = -2/2205 - z. Find the common denominator of 47/8 and h.
8
Calculate the smallest common multiple of (-1361007)/(-4074) + (15/(-14) - -1) and 6.
1002
Let m be 8/(-30)*(-3629004)/327456. Let l = m + -2688/379. Let q = l + -53/27. Calculate the common denominator of -57/7 and q.
70
Let w(y) = 44*y - 365. What is the lowest common multiple of 6 and w(10)?
150
Let g be (-21)/14*12*2. Suppose 4*o = -16, -4*h - 3*o = -4 - 0. Calculate the common denominator of 32/5 and g/(-22) + (3 - h).
55
Suppose 2*v - 8 = 8. Find the common denominator of v and (-1539)/108 - (-12)/(-8).
4
Let p = -13 - -109. Suppose 3*f - 20 = 4*q - p, 4*q - 5*f - 68 = 0. What is the lowest common multiple of (0 - -2) + (-162)/(-9) and q?
220
Let j = 107 + -104. Let k = 2 - -1. Suppose 4 = k*z + 2*x, -5*z = j*x - 6 - 1. Calculate the smallest common multiple of z and 10.
10
Suppose -16*x + 496 = -14*x. What is the lowest common multiple of 14 and x?
1736
Let q(t) = t**2 + 2*t - 64. Calculate the smallest common multiple of q(-11) and 35.
35
Let a = 7 + -17. Let t(c) = -c**2 - 13*c - 6. Let i(o) = o**2 + 12*o + 7. Let m(x) = 4*i(x) + 3*t(x). Calculate the lowest common multiple of 14 and m(a).
140
Suppose 0 = 2*z, -5*z - 9 = -0*r + 3*r. Suppose 0 = -3*n + 3 + 3, 0 = -v + 2*n + 5. Let m = v + r. Calculate the least common multiple of 18 and m.
18
Suppose 5*p = p + 8. Suppose -p*w + 5 + 23 = 0. Calculate the lowest common multiple of 20 and w.
140
Let o = 4067/8 - 510. Let m = o - 1/4. Find the common denominator of 26*((-11)/(-12))/(-1) and m.
24
Let c be (-104859694)/4004 - 18/63. Let m = 26189 + c. Let j = m + 6/91. Calculate the common denominator of -47/4 and j.
44
Suppose -211 + 67 = -3*a. Suppose 4*z - a = -0*z. What is the lowest common multiple of 2 and z?
12
Let d(u) = u**2 - 5*u - 4. Let v be d(5). Let t = 583 + -1676/3. Find the common denominator of t and 5 - -6*1/v.
6
Le