Let u = -9 - -4. Let b be (-75)/30*6/u. Suppose -5*x + 25 = t - 8, t = -b*x + 23. Calculate the smallest common multiple of 5 and t.
40
Suppose 2*y - 2*q - 5 = -1, 0 = -2*q + 2. What is the lowest common multiple of 5 and y?
15
Let z = 16302575/243 - 67089. Calculate the common denominator of -70/27 and z.
243
Let a(s) = -11*s + 24. Let l be a(2). Suppose -u + l = -2. Calculate the smallest common multiple of 98 and u.
196
Calculate the common denominator of (4 - (-114)/(-30))/(28/(-1170)) and 1 - (41/(-16) + 1).
112
Let n be 3/(-9) - (-8)/(-12). Find the common denominator of 1/n + (4 - 445/30) and -28/3.
6
Suppose 0 = 4*t - 0*t - 12. Suppose -4*p + 0*j + j - 33 = 0, -j + 5 = 0. What is the smallest common multiple of t - p - (-4 + 2) and 36?
36
Let q = -24 + 35. What is the smallest common multiple of (18/(-15))/(9/(-60)) and q?
88
Calculate the common denominator of -25/84 and 4419/5130 + (-3)/10.
1596
Let a = 1013063/11211 - 8356/101. Let s = 26/37 + a. Find the common denominator of s and -39/19.
57
Let l be 3 - 1 - (-6)/6. Suppose -3*m + l*a = -33, 3*m - 33 = a - 5*a. Calculate the least common multiple of m and 2/5*(-5)/(-1).
22
What is the common denominator of 45/4 and 184/20 + 7 + -4 + -8?
20
Suppose -f + 5*u + 13 = 2*f, 4*f = 3*u + 10. Find the common denominator of (f/45)/(4353/1449 + -3) and -121/24.
120
Let k = 18 - 1. Let h = -1 + k. Suppose 4 - h = -2*g. Calculate the lowest common multiple of 4 and g.
12
Let p(n) be the second derivative of n**4/12 + 3*n**2/2 - 6*n. Let f be p(0). Suppose -f - 7 = -s. What is the smallest common multiple of 12 and s?
60
Let o(s) = 4*s**2 - 18*s. What is the least common multiple of 22 and o(5)?
110
Let y(l) be the second derivative of -l**3 - l**2 - 2*l - 6. What is the least common multiple of y(-3) and 12?
48
Suppose 28 = -6*h + 7*h. Let f = h - 15. Suppose 44 = 5*t + r, 3*t - f - 7 = r. What is the least common multiple of 9 and t?
72
Let h(f) = 15*f + 13. Let v be h(-6). Let i = v + 145/2. Calculate the common denominator of -3/17 and i.
34
Let u = 44297/25484 - -1/1108. Calculate the common denominator of 11/207 and u.
207
Find the common denominator of (-41)/2*((-28)/(-54))/(-7) and -143/102.
918
Suppose -5*s - 34 + 4 = 2*c, -3*s - 18 = 5*c. What is the common denominator of (-18)/120*(-452)/s and 65/36?
180
Let b = 28 + -25. Suppose q + 4*v - 34 = 0, -3*v = -q - b*q + 60. Calculate the lowest common multiple of q and 20.
180
Calculate the lowest common multiple of 22 and (-36024)/304*(32/(-6) - 0).
6952
Let d(p) = -p**2 + 2*p - 1. Let u be d(2). Let l(k) = k - 5. Let w be l(4). Calculate the least common multiple of 12 and u - 9/(1/w).
24
Suppose 13*g - 761 + 137 = 0. Calculate the least common multiple of g and 48.
48
Let c = 1 - -2. Let l = 40 + -29. What is the lowest common multiple of 10/(-15) - (-8)/c and l?
22
Suppose c - 4*x - 1 = 2, -2*x = 4*c + 60. Let h = c - -18. What is the least common multiple of 10 and h?
10
Suppose -14*f + 16*f = -10*f + 360. Let q(j) = 23*j**2 + 2*j - 1. Calculate the smallest common multiple of q(1) and f.
120
Let x = 3519641/207 + -17003. What is the common denominator of x and 31/45?
1035
What is the common denominator of (-21)/(-560)*(-3 - -36) and -57/14?
560
Let t(v) = 16*v - 380. What is the lowest common multiple of t(24) and (-3600)/(-78) - (-2)/(-13)?
92
Find the common denominator of -1/70 and (-13302)/(-6048) - (2 + 0).
1680
Suppose 2*v = -2*v + 16. Suppose 0 = -v*a + 3 + 9. Suppose -3*f + a*j - 31 = -5*f, 0 = 5*f + 2*j - 50. What is the smallest common multiple of 11 and f?
88
Let q(w) = 5*w - 2. Let r be q(3). Suppose -3*g = 4*u - 26, 2*u + g = r + 1. What is the least common multiple of 8 and u?
8
Let a = 4/1501 + -136663/27018. Let u = 237367/14 + -16973. Let q = 1298/63 + u. Find the common denominator of a and q.
18
Let n = 268/37 + -24883/2664. Calculate the common denominator of (-4)/6 + 406/(-48) and n.
72
Let v = -272 - -282. What is the lowest common multiple of v and 248?
1240
Let w = -5/36 - -1/36. Calculate the common denominator of -64/183 and w.
549
Let d = -759/28 + -4545/14. Let z = -327 - d. Find the common denominator of 17/4 and z.
4
Suppose s - 5 = 0, -s - 3*s = u - 18. Let z be (-21151)/6084 - 2*u. Let l = z - -7/117. What is the common denominator of 7/16 and l?
48
Let w = 6064 - 133379/22. Calculate the common denominator of 41/76 and w.
836
Let h = -9707479/262150 + -156/5243. Let f = h + -136/25. Let p = 21 - 25. Find the common denominator of f and p.
2
Let b be 92/50*5/(-13). Let n = b + 8141/390. Let c = -12379/6408 + -9/712. Find the common denominator of c and n.
18
Let t = -176885739229/1950 + 90710628. Let a = -2/975 - t. Calculate the common denominator of ((-97)/(-6) + -2)*1 and a.
6
Let g(m) = -7*m + 448 + 8*m + 1179. Let f be g(0). Let l = -14587/9 + f. What is the common denominator of 151/6 and l?
18
Let b(m) = m**3 - 12*m**2 + 2*m - 1. Let p be b(7). Let q = -455/2 - p. Let j = -3465/184 + 298/23. What is the common denominator of q and j?
8
Calculate the common denominator of (-28)/120*-2*(-151)/14 and -13/22.
330
What is the common denominator of 19/10 and ((-14)/(-1680))/(-1 + (-390)/(-388))?
60
Let q = -19718/52761 + 2/1227. Let z = q - -1381/129. Find the common denominator of z and 53/5.
15
Let y = 22817/77700 + -1/3108. What is the common denominator of -59/27 and y?
675
Let h(m) = 13*m**2 - 2*m + 1. Let q(k) = -k**3 - 8*k**2 - 13*k - 5. Let g be q(-6). What is the least common multiple of 6 and h(g)?
12
Let a = -50 + -4. Let h be a/(-12)*8/6. Suppose 2*b - 12 + h = 0. Calculate the lowest common multiple of 3 and b.
3
Let c be (3/(-6))/(5/4510). What is the common denominator of (-1)/(-24)*c/(-11) and ((-1)/3)/((-8)/462)?
24
Let m(f) = -12*f + 4. Let v be m(-2). Let z = 13 - v. Calculate the lowest common multiple of 4/(-1) - (0 + z) and 10.
110
Suppose o - 31396 = -2*x, 0 = -4*x + o - 4461 + 67247. Let t be (-4)/(-14) - x/(-210). Let c = t + -441/5. Find the common denominator of 41/7 and c.
42
Suppose 5*w = 23*w - 900. Calculate the common denominator of (17 - 14) + (-71)/w and 19/20.
100
Let w = 24911/11 - 2261. What is the common denominator of w and 13 - 1469/39 - -7*1?
33
Let w = 12291 + -2396798/195. Find the common denominator of -47/40 and w.
1560
Let s be ((-854)/(7/1))/(2/14). Let v = 8547/10 + s. Let a = -1054/3 - -5399/15. Find the common denominator of a and v.
10
What is the common denominator of -19/12 and (822/324 - -7) + -7?
108
Let r be 24/((-4)/(-8)*3). Let z = 34 - r. Calculate the least common multiple of 12 and z.
36
Let o(u) = 4*u. Calculate the least common multiple of o(1) and 140.
140
Suppose -2*i - 4*u = 10, 4*i = 5*u + 39 - 7. What is the smallest common multiple of 26 + -4*(i + -2) and 16?
176
Suppose 20450 + 13166 = 4*w. Let k = w + -319407/38. Calculate the common denominator of 113/12 and k.
228
Calculate the common denominator of 218/(-36) - ((-259)/21 + 13) and -109/354.
1062
Suppose 5*q + 50 = 4*g, -3*q = 5*g - 48 - 33. What is the least common multiple of 15 and g?
15
Let d = -24181/6 - -4019. Let v(p) = -p**2 + p. Let k be v(4). What is the common denominator of (-1)/(-2) - k/(-22) and d?
66
Suppose -6054 + 36206 = -4*s. Let q be (-1)/(s/2513 - -3). Let g = q - -35157/14. What is the common denominator of -11/20 and g?
140
Let h = 421/78 + -94/13. Find the common denominator of h and 10/(-48)*(-83)/5.
24
Let s = 71606545/3506 - 20424. Let h = 9/2365043 + 80851281113/20729601895. Let g = h - s. Calculate the common denominator of -89/15 and g.
30
Suppose 54 = 5*v + t, 0*t = -v + 2*t + 13. Let o(h) = 3*h + 1. Let r be o(8). Suppose 11 = r*s - 24*s. Calculate the smallest common multiple of s and v.
11
Suppose -2*p - 7 = -4*r + 51, 0 = 5*r + p - 55. Calculate the smallest common multiple of r and (0 - 2)/((-2)/20).
60
Let a = -14647 - -732379/50. Find the common denominator of -49/25 and a.
50
Let r(u) = 23*u - 47*u + 35*u. Calculate the lowest common multiple of r(3) and 3.
33
Let p(c) = 8*c + 10. Let v be p(7). Suppose s + v = -2*s. Find the common denominator of ((-2)/8)/(s/248) and -55/9.
99
Suppose 35 - 13 = f - 5*b, f + b - 22 = 0. Suppose -k + 204 = 3*g + 160, -2*g = k - 30. What is the smallest common multiple of g and f?
154
Let o = -1/10 - 3/5