 = -u**3 - u + 470. Let o be d(0). Let a = 28 + o. Calculate the common denominator of 97/12 and ((-4)/48)/((-3)/a).
12
Let n = 142 - 132. What is the smallest common multiple of n and 68?
340
Suppose 4*p - 11 = -5*o, 7*p - 4*o = 2*p + 24. Find the common denominator of (-9)/(-2)*(-29)/15 and ((-164)/(-100))/(p/(-5)).
20
Let p = -55 + 105. Let y = -70 + p. What is the common denominator of 79/8 and 1 - y/(-24)*13?
24
Suppose -58*b - 6*b + 20416 = 0. Calculate the smallest common multiple of b and 87.
957
Let o = -60 - -96. Calculate the lowest common multiple of 60 and o.
180
Suppose 7*s - 234 = -6*s. Calculate the least common multiple of 40 and 30/(3/s*(-18)/(-4)).
40
Calculate the common denominator of 1/(-3) + (-27)/(-54) and 13/21.
42
Let u = 47207/10 - 4726. Let z be 1 + ((-65983)/18 - -3). Let f = 3664 + z. Find the common denominator of f and u.
90
Let p be (-4)/10 + (-160)/(-25). Calculate the smallest common multiple of 2 and (-7)/(-5)*(-1 + p).
14
Let m(j) = 6*j**2 + 4*j - 6. Let d be m(-5). Let x = -98 + 62. What is the common denominator of (-2 - (-26)/12)*d and x?
3
Let y(z) = 8*z**3 + 41*z**2 - z + 6. Calculate the lowest common multiple of 60 and y(-5).
180
Let a = -13639/1212 + 1/303. Let j = 428069/6720 - -13/960. Let u = j - 9847/154. Calculate the common denominator of u and a.
44
Suppose 0*j + 6 = 3*k + 2*j, 0 = -5*k + 4*j + 32. Suppose o + k*d = 28, 2*o + 3*o - 56 = d. What is the least common multiple of 27 and o?
108
Let m = -13825493508095567545/729774 + 18944897335463. Let s = m + -2/40543. What is the common denominator of -107/12 and s?
36
Suppose 0 = 3*j + j - 8. Suppose 30 + 22 = -4*p + j*n, -3*n + 6 = 0. Calculate the common denominator of ((-6)/(-10))/(6/p) and 103/10.
10
Let r = -28579/333 + 769/9. Calculate the common denominator of r and -44/185.
185
Let v(c) = 5*c + 30. Calculate the lowest common multiple of v(-3) and 50.
150
What is the common denominator of (156/(-150)*(-30)/8)/(-6) and -57/44?
220
Let w(t) = t**2 - 3*t + 2. Let z(q) = q**2 - 4*q - 18. Calculate the smallest common multiple of z(-3) and w(5).
12
Let o(b) = b**3 - 14*b**2 - 16*b + 9. Let r be o(15). Calculate the common denominator of (-48)/(-352)*(-178)/r and 73/12.
132
Let r(m) = -m**3 + 9*m**2 - 4*m - 18. Suppose -5*b - 8 = -6*b. Let k = 42 + -32. Calculate the lowest common multiple of r(b) and k.
70
Suppose -4*z = -59 - 93. Calculate the common denominator of 4/5 - (-1119)/(-30) and z.
2
Suppose 6*q - 443 - 307 = 0. Calculate the common denominator of -3/20 and ((-6)/(-40))/(-1 - (-144)/q).
380
Suppose 0 = -85*h + 88*h - 36. What is the smallest common multiple of h and (-2)/(-7) + (-410)/(-35)?
12
Suppose -46*w = -41*w - 15. Let z(b) = -b**3 - 3*b**2 + 3*b - 1. Calculate the lowest common multiple of z(-4) and w.
3
Let f = 1/5884 + -148591/117680. What is the common denominator of f and -71/112?
560
Let m(h) = h**3 + 3*h + 4. Let q be m(4). What is the lowest common multiple of -1*1 - q/(-16) and 18?
36
Let r = 158 + -120. Calculate the least common multiple of r and 8.
152
Let h be (-4)/(-2)*(-24)/(-3). Find the common denominator of (-166)/3*(-6)/h and ((-294)/154)/((-2)/(-3)).
44
Let v = -7803929/72 + 108386. Find the common denominator of v and 19/36.
72
Let o = -2903/132 - -51/44. Find the common denominator of o and 12/21 - (-1026)/140.
30
Let i = -727 + 744. Calculate the least common multiple of 9 and i.
153
Suppose 36*o - 652 - 1770 = -137*o. What is the least common multiple of (-6)/(-33) - (-1184)/22 and o?
378
Suppose -u = -3*p + 6, 5*u + p = -3*p + 27. Calculate the lowest common multiple of u and (-2)/(-3) + (-112)/(-12).
30
Suppose 2*k - 5 = 5. Suppose 20 = -k*g + g, -b - 5*g + 93 = 0. Calculate the common denominator of (-21)/(-28)*b/(-18) and -87/10.
60
Let f(o) = -o + 11. Let i = 21 + -15. Calculate the lowest common multiple of f(5) and i.
6
Let b = 49431/20 - 2473. Let n be ((-17697)/(-312))/(10/4). Let v = n + -280/13. Calculate the common denominator of b and v.
20
Let s be 5*(1 - -2 - 2). Let h = s + -3. Calculate the lowest common multiple of (-146)/(-14) - 21/49 and h.
10
Calculate the common denominator of 6*(-7)/(-280)*48/50 and -103/10.
250
Let o = -11 - -10. Let y be o/(-2) - (-655)/10. What is the common denominator of (5/2)/(y/(-60)) and 38/3?
33
Suppose -u = -18 - 26. Calculate the lowest common multiple of 8 and u.
88
Let l be 2106/(-40) + 6/(-8). Let x = 77/20 + -1327/20. Let a = x - l. Find the common denominator of -103/22 and a.
110
Let j = 645/15022 - 5/74. Let i = j + -223/29. Find the common denominator of i and -43/4.
28
Let g(q) be the second derivative of -37*q**3/6 - q**2/2 - 9*q. Let d be g(7). What is the common denominator of ((-15)/(-80))/((-6)/d) and -83/20?
40
Let l(v) = -v**3 - 5*v**2 - 2*v - 6. Suppose 0 = -0*t - 3*t - 15. Let p be l(t). Suppose 0 = p*j - 71 + 15. Calculate the least common multiple of 20 and j.
140
Let u = 454973/30 + -15163. What is the common denominator of -4/45 and u?
90
Let o = 1401/1760 - 18/55. What is the common denominator of -59/96 and o?
96
Suppose -m - 4 = -1. What is the common denominator of -15 and (8/m)/(16/(-128))?
3
Let z(j) = -j**2 - 6*j - 5. Let q be z(-4). Suppose -5*i - q*v = -75, 4*i = 5*v - 9 + 32. Suppose i = 3*n - n. What is the smallest common multiple of 6 and n?
6
Let i = 48/491 + 69637/5892. Calculate the common denominator of -65/2562 and i.
5124
Let h = 19306/31 - 16150/279. Let i = h - 558. Find the common denominator of -38/3 and i.
9
Let g = -1 - -1. Let m = 189167/14836 - 2/3709. Calculate the common denominator of m and 0 - (113/(-10) - g).
20
Suppose 4*u = -3*h - 17, 13 = -5*u + h - 2*h. Let i = 1447 + -14487/10. Calculate the common denominator of i and (u/6 + -2)*165/(-40).
40
What is the lowest common multiple of 120/9*(-369)/(-164) and 24?
120
Let z = 2907/5 - 576. Calculate the common denominator of -32/11 and z.
55
Let f(d) = d**3 + 7*d**2 + 2*d + 17. Let q be f(-7). Suppose -q*g - 2*j + 146 = -0*j, 0 = -g - 5*j + 53. What is the smallest common multiple of 3 and g?
48
Let i(n) = 8*n**2 - 2*n. Calculate the smallest common multiple of 30 and i(-1).
30
Let d = -12 - -8. What is the common denominator of 85/(-14) + -8 + 7 and ((-6)/27)/(d/(-20))?
126
Let l = 91320 - 825251/9. Let i = l - -1147/3. Find the common denominator of i and 34/7.
63
Calculate the lowest common multiple of 70 and (25/4)/((-12)/(-96)).
350
Calculate the least common multiple of 45 and 45186/476 - (-1)/14.
855
Let t = 1914527/138 + -13874. Find the common denominator of t and -40/161.
966
Suppose -4*b + 5*u = -4, -u + 6*u = 5*b - 10. Suppose -3*y + 2*l - b - 3 = 0, y - 5*l - 10 = 0. Calculate the smallest common multiple of 5 and (1*(3 - y))/1.
40
Let j = 24 + -24. Suppose -3*p + 2*q + 54 = j, -5*p - 4*q + 7 = -61. What is the least common multiple of 5 and p?
80
Suppose -y = -3*n - 2*y - 8, -3*y = 3*n + 6. Let t be -3 + 24 + (-4 - n). What is the lowest common multiple of ((-6)/(-4))/(15/t) and 12?
12
Suppose 40*w - j = 43*w - 44, -2*w - 3*j + 34 = 0. What is the least common multiple of w and 160?
1120
Let s(p) = p + 25. Calculate the least common multiple of 15 and s(-1).
120
Let m be -6 + 8 + (-3895489)/(-84). Let w = m - 46378. Calculate the common denominator of -101/8 and w.
168
Let s = -2541/146 - 7/73. Calculate the common denominator of s and 101/18.
18
What is the common denominator of ((-1020)/(-108))/((-2)/(-3) + -2) and 43/45?
180
Let f(x) = -26*x - 52. What is the smallest common multiple of 6 and f(-5)?
78
Let u(x) = x**2 - x + 4. Suppose -3*o = 2*j - 48, -4*o - 3*j = -9*o + 99. Calculate the smallest common multiple of o and u(0).
36
Let a = -29497277/192 - -153632. What is the common denominator of 7/40 and a?
960
Let k(l) = 54*l + 2. Let w be k(2). Find the common denominator of -47/10 and (3 - 345/w) + -3.
110
Suppose 2*f + 1 = -5*c, 8*c - 4*c + 2*f + 2 = 0. Let u(k) = -k - 10. Let p be u(-9). Calculate the least common multiple of (c - p)*(4 - 0) and 9.
72
Suppose 19 = u + 4*q, 0*q - 4*q + 16 = 0. Calculate the smallest common multiple of 2/(5 - (-732)/(-148)) and u.
111
Let m = -97093/39 - -2489. Calculate the common denominator of m and 97/462.
6006
Let o(z) = 6*z - 49. Let m(k) = 18*k - 148. Let v(g) = 3*m(g) - 8*o(g). Wha