2*m + 4*m + 54. What is the least common multiple of a(-5) and n?
180
Suppose 3 = f + 2*z, z = -5*f - 0*z + 15. Suppose 3*m = -f*r + 60, -m = -r + 3*m - 5. Suppose w + 4 - r = 0. Calculate the smallest common multiple of w and 10.
110
Let b = 7645832053/2160 + -3539737. Find the common denominator of 181/1920 and b.
17280
Let y = -5863097 + 1383693555/236. Let q = y - 2/59. Calculate the common denominator of 69/10 and q.
20
Let q = 1642 - -234. What is the lowest common multiple of 70 and q?
9380
Suppose 3*q - 2 = 5*d - 4, -5*d - 6 = -q. What is the smallest common multiple of 4 and ((-96)/3)/(d/2)?
32
Let r(x) = x**3 - 2*x**2 - 7*x. Let y be r(4). What is the common denominator of (-106)/4*((-9)/12 + 1) and (-534)/(-54) + -1*(y + -1)?
72
Let b = -2532 - -2612. Suppose 0 = -2*n - 2 + 6. What is the common denominator of 73/14 and ((-4)/10)/n - 169/b?
112
Let u = -645161017/992 - -650364. Find the common denominator of -143/36 and u.
8928
Calculate the lowest common multiple of ((75/(-4))/(1/4))/(-1) - 0 and 335.
5025
Let v = -4/20629 + -223840/680757. Calculate the common denominator of 17/15 and v.
1155
Suppose 34*k + 8 = 35*k. Suppose 0 = -17*f + 16*f + 6. Suppose 3*j = -f, 21 = -5*v + 5*j + 111. What is the smallest common multiple of k and v?
16
Let l(k) = k**2 - 10*k + 4. Let j be l(9). What is the common denominator of 21/8 and (2/1035)/(3910/(-780) - j)?
2760
Suppose p - 4*s - 11 = 0, s - 26 = -4*p - s. What is the common denominator of 5/((-1540)/(-208)) + 1/p and (1 + 0)*(1 - (-51)/(-6))?
22
Let f = 1431 - 1418. What is the lowest common multiple of f and 195?
195
Let a = -23077 + 27253. What is the lowest common multiple of 3248 and a?
29232
Let c be (6/(-1))/(15/(-5)). Suppose -c*u - 192 = 2*v + 2*v, -4*u - 5*v = 372. Calculate the smallest common multiple of (u/(-40) - 2) + 109/5 and 16.
176
Calculate the common denominator of 12/182*29960/(-4815) and 146/36 + 2/(-4).
117
Find the common denominator of (13/(91/(-40)))/((-104)/28) and 14/481.
481
What is the common denominator of 954/50085*(266/(-10))/((-24)/(-10)) and (-842)/360 + 1/4?
90
Let k = 4146 + -3899. Calculate the least common multiple of 91 and k.
1729
Let u = 4796588393/5278 - 908789. Find the common denominator of u and 55/406.
5278
Let l = 28955373929645/133661630586 - -34/119128013. Let c = l - 3700/17. Find the common denominator of c and (27370/69)/(-14)*(122/(-40) + 3).
132
Let n = 20643/4232 + -3/1058. Find the common denominator of (2 + 22/(-18))/((-2)/(-6)) and n.
24
Let z = 5/58037 - -17739/1141413679. Let x = z - -727595/826014. Find the common denominator of 107/12 and x.
84
Let z(u) = 129*u + 3156. Calculate the least common multiple of 10 and z(-23).
1890
Let n = -53 + 71. Suppose 0 = 5*r - s - 33, -9*s + n = 5*r - 5*s. Let g(m) = -m**2 - m + 6. What is the smallest common multiple of g(0) and r?
6
Suppose 15*z - 17*z + 6 = 0. What is the common denominator of 29/444 and 1/((z/6)/((-122)/8))?
444
Let l = 360 - 321. Suppose 3*b + q - 160 = 0, 2*q = -2*b + l + 61. What is the smallest common multiple of b and 15?
165
Let y(h) = 5*h - 87 - 12*h - 4*h + 2*h. What is the least common multiple of (36/(-54))/(2/(-72)) and y(-12)?
168
Let t(g) = -g**2 - g. Let u be t(-3). Let o = 4491 - 4499. Calculate the common denominator of o/u + 6/3 and 49/33.
33
Let b = 80523/11746 - -3/1678. Find the common denominator of b and 2/6 - ((-663)/(-99) + -13 + 5).
77
Suppose 32*j = 14*j + 10242. Let r = j - 368. What is the least common multiple of 9 and r?
603
Find the common denominator of ((-91)/(-4186))/((-3)/62) and 33/1058.
3174
Let l(d) = 4432*d**2 - 291*d - 7. What is the smallest common multiple of 2358 and l(-1)?
4716
Suppose 240*u = 460*u - 26180. What is the least common multiple of 272 and u?
1904
What is the lowest common multiple of (-571 - (-2 + (-1 - 3)))*10/(-5) and 18?
10170
Suppose -5*n = -9*n + 16. Suppose 9*w = n*w + 40. Let g(f) = 17*f - 44. Calculate the smallest common multiple of g(3) and w.
56
Suppose 30*n - 106*n - 40*n + 32480 = 0. Calculate the lowest common multiple of n and 28.
280
Let f = -15157717027/4160 - -3643682. What is the common denominator of -35/72 and f?
37440
Calculate the common denominator of (2*(-2)/(-28))/(7710/(-88151)) and (4/6)/((-180)/402).
90
Let k(v) = -443*v - 17039. Let y(t) = t**2. Calculate the smallest common multiple of k(-39) and y(2).
476
Let s = 4276 - 3409. What is the smallest common multiple of s and 24?
6936
Suppose 14*m - 28*m = 56. Calculate the common denominator of (-4709)/570 - m - (-6)/(-57) and 85/18.
90
Let n = 425457/11 - 38464. Let o = n + -213. Let d = -1245 - -8730/7. What is the common denominator of d and o?
77
Let c(y) = -y**3 + 14*y**2 + 2*y - 12. Let g be c(14). Suppose 2*i - 36 = -g. Calculate the least common multiple of i and 50.
50
Suppose 0 = 8*q + 117 - 2077. Calculate the smallest common multiple of 245 and q.
245
Let r(s) = 5*s**2 + 26*s + 112. What is the smallest common multiple of r(12) and 832?
9152
Let p(b) = -b**2 + 12*b - 14. Let w = 263 + -254. Calculate the smallest common multiple of 10 and p(w).
130
Let w(g) = -2*g - 7. Let a be w(-8). Suppose 4*r = a*r - 90. What is the smallest common multiple of 2/3 - (-188)/6 and r?
288
Let y = 10422/5 + -2086. Calculate the common denominator of y and -1*1 + (-87)/(-20).
20
Suppose 0 = 7*z + 4 - 396. What is the lowest common multiple of z and 12/30*(-1 + 21)?
56
Suppose 5*n + 186 = p, 2*p - 348 = -0*p - 2*n. What is the lowest common multiple of 512 and p?
5632
Let n be 1/(3*(-1)/(-180)). Let l = -144 + 148. Suppose -4*d - n = -4*r, 0*d - 26 = -2*r + l*d. What is the lowest common multiple of r and 7?
119
Let j be (5/(-2))/((-100)/480). Calculate the least common multiple of (-1)/(1/(-1*5)) and 90/j*2 + -6.
45
Let q be (1/1)/(9/(-14211)). Let v = 31591/20 + q. Find the common denominator of (0/9 + 218/8)/3 and v.
60
Let b(v) = -30*v + 110. Let s be b(3). Suppose -3*j = -i + 18 - 67, -j + s = -4*i. What is the least common multiple of 20 and j?
80
Suppose 25*l = 28*l. Let v(t) = -13*t + 42. Calculate the smallest common multiple of v(l) and 60.
420
Suppose 2*a + 4*n - 3*n - 117 = 0, 0 = -5*a + 4*n + 273. Suppose a*c = 29*c + 756. Calculate the least common multiple of c and 9.
27
Let n = 4080/661 + -31101737/5949. Let r(x) = 581*x - 2. Let y be r(9). Let p = n + y. Find the common denominator of 32/33 and p.
99
Suppose -2*g - 2*z = -77 - 485, 5*g = 4*z + 1432. What is the least common multiple of g and 2556?
2556
What is the least common multiple of (-660)/(-210) + 1/(-7) and 303?
303
Suppose -7932 = 116*b - 114*b. Let n = -87195/22 - b. Calculate the common denominator of n and 47/26.
286
Let i(n) = n**3 - 62*n**2 + 62*n - 53. Suppose 10*y - 216 = 4*y. What is the lowest common multiple of y and i(61)?
72
Let a = -836 + 886. What is the common denominator of -49/254 and (a/(-28))/((-102)/357)?
508
Suppose 5*s - 36 = -2*z, 2*z + 341 = 5*s + 377. Let u = 1/12 + 31/12. Calculate the common denominator of (12/(-742))/(z - (-11479)/(-637)) and u.
159
Let p = -51 + -57. What is the common denominator of -13/12 and 0/(-7) + (-183)/p?
36
Find the common denominator of 3/21256 and (-1)/(17710/851 + -21).
148792
Let v(b) = 9*b**2 + 17*b + 62. Let h be v(-11). Let q = 984 - h. Let g = 48 + -26. What is the least common multiple of q and g?
220
Suppose -15 = -3*b - 0. Suppose -6*k + 49 = -167. Suppose b*q - 7*q = -k. Calculate the least common multiple of q and 6.
18
Let u = -190 - -192. Suppose 3*n + u*v - 77 = -29, -3*n + 39 = 5*v. Calculate the lowest common multiple of 48 and n.
144
Let o(s) = 38*s - 39. Let q be o(1). What is the common denominator of 236/(-14)*((-4)/(-16))/q and -137/42?
42
Calculate the common denominator of 93/22 and (352 - 351) + (-2458)/2472.
13596
Let m(k) = -k**3 + 23*k**2 - 20*k - 36. Suppose 0 = -3*q + 2 + 64. Calculate the least common multiple of m(q) and 24.
24
Let v = -77071277/492 + 156649. Calculate the common denominator of v and 19/164.
492
Let m = -6373 + 9187. Calculate the common denominator of m/(-28)*-1*2/(-18) and (-2)/(-3) - (-482)/(-84).
42
Let n(g) = 133*g - 558. Calculate the least common multiple of 5 and n(6).
240
Let z = 2/179357 - 10225645/205901836. Find the common denominator of 19/28 and 