
Let n be (-189171)/2*9/90. Let y = n - -9463. Calculate the common denominator of -101/18 and y.
180
Let b(w) = 7*w**3 - w**2 - w + 1. Let l be b(1). Suppose t - l = g, 3*t - 2*t - 22 = 5*g. Calculate the smallest common multiple of 16 and t.
16
Let t(s) = -s**2 + 5*s + 9. Let w be t(6). Suppose -2*z = 5*o + 12, z - 36 = -w*z + 5*o. Calculate the smallest common multiple of z and 7.
28
Let t be (-5)/((-450)/(-1337935)) - 0. Let a = t + 14870. Find the common denominator of 29/40 and a.
360
Let v(k) = -k**2 - 21*k - 82. Calculate the smallest common multiple of 40 and v(-7).
80
Suppose -2*v = -v - 32. What is the common denominator of ((-3)/11)/(6/v) and -61/10?
110
Let w be 5/10 + 47/2. Let v = w + -20. What is the smallest common multiple of v and 236/13 - (-2)/(-13)?
36
Let h = 1355/1512 - 4/189. Let g be (-2962)/10*5/4. Let j = 386 + g. What is the common denominator of h and j?
8
Let y = -246 + 126. Let m be ((-3)/(-6))/((-4)/y). Find the common denominator of -63/8 and (1281/(-280))/((-18)/m).
16
Let f = 10/509 - -8383/13743. Calculate the common denominator of -20/549 and f.
1647
Suppose -x - 12 = 2*r, 0 = 4*r + 17 - 5. Let y be 4/x + 56/12. Suppose y*h - 4 = -3*q, -q = -2*q + 3*h + 10. Calculate the lowest common multiple of q and 8.
8
What is the common denominator of ((-630)/675)/((-43)/21 + 1) and 1/20?
220
Let i(d) = d**3 - 4*d**2 - 4*d - 2. Suppose 335 = -5*q - 4*a, -4*q + 134 = -6*q + a. Let b = q - -70. Calculate the smallest common multiple of i(5) and b.
3
Suppose -2*y + t = -495, -10*y + 735 = -7*y - 3*t. What is the least common multiple of 275 and y?
2750
Find the common denominator of (-6)/(-12) - 169/110 and (352/144)/(3/(-6)).
495
What is the smallest common multiple of (-1148)/(-22) - ((-140)/77 - -2) and 28?
364
Let g = 3833/3 - 26975/21. What is the common denominator of -26/47 and g?
329
Let g(p) = -p**3 + 9*p**2 + 10*p + 2. Let u be g(10). What is the common denominator of -85/12 and -19*u/5 + (-6)/4?
60
Suppose 11 = -b + 3*d, -5*d + 13 + 12 = 0. Suppose -20*s + 22*s = 4. What is the least common multiple of s and b?
4
Let y(t) = t + 8. Suppose 0 = -0*j + j - 5, -60 = 5*l - 2*j. Let p be y(l). What is the smallest common multiple of -2 - -5 - (-3 - p) and 11?
44
Let u = 8929 - 13339. Let z = u + 97077/22. What is the common denominator of z and ((-1)/(-36))/(5/(-130))?
198
Let l(a) = 4*a + 1. Let y be l(-4). What is the smallest common multiple of ((-54)/y)/((-3)/(-10)) and 4?
12
Let c(v) be the second derivative of v**3/3 - 3*v**2/2 + 6*v. Let f = 10 - 6. What is the least common multiple of c(f) and 6?
30
Let l be 1/4 + (-380)/(-16). What is the lowest common multiple of 18 and l/9*(-3)/(-2)?
36
Suppose -4*m = 4*v + 4, 3*m + 3 + 12 = 0. Suppose 5*w - w - 28 = v*f, 3*f + 9 = -3*w. What is the smallest common multiple of 2*1 - 1*-14 and w?
16
Let g be ((-4)/(-144))/(4/(-1018)). Let s = -49/9 - g. Calculate the common denominator of s and (-1 - (-20)/18)*-58.
72
Let d(c) = 51*c**2 + c - 1. Let y(l) = -146*l + 1463. Calculate the smallest common multiple of y(10) and d(1).
51
Let p(s) = 425*s - 7. Let v be p(-13). Let i = v + 99475/18. Calculate the common denominator of -107/30 and i.
90
Let v be (0 - 3)*(-2 + 1). Suppose -c + v = 2. What is the common denominator of -29/2 and 1095/(-100) + c/4?
10
Let x = 50 + -54. What is the common denominator of x and (176/170)/(24/60)?
17
Let h be (-14)/(-4) - 8/(-16). Suppose 40 = 4*u + h*u. What is the lowest common multiple of 29 and u?
145
Suppose -1257 = -14*w + 983. What is the lowest common multiple of w and 100?
800
Let p = -7651/6 + 1260. What is the common denominator of (51/(-63))/(7/14) and p?
42
Calculate the common denominator of (-1507)/(-308)*(-2)/3 and 11/7.
42
Let t be 0*(2/(-6))/(4/6). Let w = -53 + 123. Suppose 5*m - 105 = -5*z, t*z - 3*z + 4*m = -w. What is the lowest common multiple of 8 and z?
88
Let j = 124207/2940 - 2182/49. What is the common denominator of j and 61/120?
120
Let f = -2 + 0. Let k(o) = -12*o**2 - 8*o + 2. Let g(q) = -11*q**2 - 7*q + 2. Let l(x) = -4*g(x) + 3*k(x). What is the least common multiple of 16 and l(f)?
176
Let w(o) = -o**2 - 11*o - 7. Suppose 2*h = h - 3*p - 16, h - 3*p + 4 = 0. Let x be w(h). What is the common denominator of -95/4 and 47*3/72*x?
8
Suppose 10*c - 15*c = 265. Let y = -43 - c. Calculate the smallest common multiple of 21 and y.
210
Let c(n) = -n**3 - 4*n**2 + 13*n + 10. Calculate the smallest common multiple of c(-6) and ((-24)/(-5))/((-2)/(-5)).
12
Suppose -c = 2*c - 312. Suppose -r + c = r. Let q = -30 + r. Calculate the least common multiple of q and 6.
66
Let q = 6484 + -3363. Let n = q + -18853/6. What is the common denominator of (206/24)/((-10)/(-6)) and n?
60
Let f = 5/28 - 2/21. Find the common denominator of f and ((-2)/3)/(-2 + 2208/972).
132
Let i = -30 + 204/5. Suppose -4*t - 11 = 5*x - 29, -2*x = 5*t - 14. What is the common denominator of (x + (-453)/132)*(3 - 1) and i?
110
What is the common denominator of 20/60*(286/8 - 1) and 1 + 34/(-20)*7?
60
Let x be 909/32*(0 + 220/759). Let l be 166/(-46)*1/(-1). Let f = x - l. Find the common denominator of 7/10 and f.
40
Find the common denominator of 38/11 and 4/18 - (-1193)/(-1440).
1760
Let r = 2 + 18. Suppose -2*q + 80 = -4*k, 5*q - 52 = 4*q - 4*k. Suppose -q = i - 3*i. What is the lowest common multiple of i and r?
220
Let v = -16 + 24. Let a(z) = -z**2 + 8*z - 18. Let y be a(v). Let g = -12 - y. What is the least common multiple of g and 5?
30
Suppose 63*j - 73*j + 200 = 0. What is the least common multiple of j and 16?
80
Let g be (128/10)/((-8)/(-20)). Suppose -24 + g = 4*c. Let j = 14 + c. Calculate the least common multiple of 6 and j.
48
Suppose 5*t - 134 = -24. Let n = t - 17. Suppose -3*s + 14 = n. Calculate the least common multiple of s and 14.
42
Let j(i) = -i**3 - 5*i**2 - 13*i - 44. Calculate the lowest common multiple of j(-8) and 126.
252
Suppose i - 3 - 15 = 0. Suppose -18*c - 21 = 123. Let b = c + i. What is the lowest common multiple of 15 and b?
30
Let c(v) = -v**3 + 6*v**2 + 7*v - 1. Let j be 2*-1 - (-14 + 5). Let o be c(j). Calculate the smallest common multiple of o/2 - (-10)/4 and 16.
16
Calculate the common denominator of (-1)/((-25)/10) - 347/105 and -27/8.
168
Let s = 11172241/858 - 39064/3. What is the common denominator of 161/78 and s?
858
Let s = 4402/7 - 88077/140. What is the common denominator of 31/7 and s?
140
Let q(o) = -4*o**2 - 47*o + 16. Calculate the least common multiple of q(-12) and 6.
12
Let c = -335 - -348. Calculate the lowest common multiple of c and 24.
312
Let i(g) = g**2. Calculate the lowest common multiple of 28 and i(-10).
700
Let b = -2571 + 2615. Let j = -41 - -57. Calculate the smallest common multiple of j and b.
176
Find the common denominator of 54/(-1008) - (1 - (-15)/(-24)) and 39/431.
3017
Suppose 9 = 4*i + 13. Find the common denominator of -57/4 and (-5 - -8) + i*158/(-8).
4
Let l be (28/(-2))/(4/18). Let n = l + 65. Let o(z) = z**2 - 2*z + 3. Calculate the lowest common multiple of o(3) and n.
6
Let x = -3321 - -79673/24. Let p = -5280980/463 - -11406. Let m = p - 36541/8334. Calculate the common denominator of m and x.
72
Suppose -4*k - 2*a - 48158 = 0, -2*k + 4*a - 3*a = 24085. Let c = 120523/10 + k. Calculate the common denominator of -75/4 and c.
20
Let y = -773236/69 - -11206. Find the common denominator of y and 18/7 + 34472/14595.
345
Suppose 6*r - 21 = 15. Suppose 0 = n + n - 4. Calculate the smallest common multiple of 22/((r - n) + -3) and 18.
198
Let f be 5/((-5)/(-13))*1. Let p = -5 + f. Calculate the least common multiple of p and 10/55 + 588/33.
72
Let j(l) be the second derivative of -l**4/12 - 2*l**3 + 27*l**2/2 - 5*l. Calculate the lowest common multiple of j(-13) and 10.
70
Suppose 3*t - 2 = -4*f - 6, 2*t = -4*f. Let l be (3/f)/((-12)/(-16)). Calculate the lowest common multiple of (0 - l)*20/(-8) and 6.
30
Let x(w) = -3*w**3 - w**2 + 4*w + 1. Let m be x(-2). Let c = m - 1. Calculate the smallest common multiple of c and 4.
12
Let t(f) = -17*f**2 - 8*f - 4. Let i be t(-6). Let z = i + 6273/11. Calculate the common denominator of 3/11 and z.
11
Let a = 6/317 - 16514/1585. What is the common denominator of (-584)/18*2/16 and a?
90
Let h be 242494529151/77507*2/685