120 + -5*7/(-70). Let f = b - -83/15. Calculate the common denominator of 28/3 and f.
60
Find the common denominator of (-59)/472 - (127/648)/(-1) and -89/1782.
3564
Suppose -2*i + 262 = 5*s, -12*s + 47 = -11*s - 5*i. Suppose -5*l + 6 = -3*o, -3*o - 4*l - 12 = -33. What is the smallest common multiple of o and s?
156
Let s = -87 + 120. What is the common denominator of -21/44 and 1 - s/2*(-10)/480?
352
Find the common denominator of (-1290)/36*(-102)/(-765) and -49/132.
396
Let g = 136 + -131. Suppose 2*r - 3*b = 27 + g, 3*r = -4*b + 48. Calculate the lowest common multiple of 60 and r.
240
Let j be 5010/70 + (-6)/(-14). Suppose n - j = -3*n. What is the lowest common multiple of (35742/644)/(((-3)/36)/((-2)/9)) and n?
1332
Let m = -63 - -83. Let a(s) = 3*s - 50. What is the least common multiple of a(m) and 2?
10
What is the common denominator of 103/22 and ((-337)/(-6066))/(1081/(-119))?
214038
Suppose 82 + 51 = 19*z. Suppose 259 = -z*h + 721. Calculate the smallest common multiple of 6 and h.
66
Let b(t) = -t**2 - 8*t. Let y be b(8). Let c = y + 130. Let w(u) = 2*u + 8. What is the least common multiple of 20 and w(c)?
60
Let y be 0/(11/(-22) + (-2)/4). Calculate the lowest common multiple of 33 and -6*(y - 9/2).
297
Let x be 2/9 + (-50)/(-18). Let a be 7 + (6 - 13) - -4. Suppose 6 = x*r - 4*r - 2*b, -a*r + 11 = b. What is the lowest common multiple of r and 12?
12
Let q = 252/11 - 3989/165. Suppose 5*m - 2 = 108. Find the common denominator of q and (2/m)/((-7)/343).
165
Suppose -6*n - 13*n = -95. Let f be ((-2)/(-4) - 0)*72. Suppose -5*y - 5 - 12 = -4*m, 0 = -3*m - 4*y + f. What is the least common multiple of m and n?
40
Let y = -3103 - -3175. Calculate the smallest common multiple of 81 and y.
648
Suppose 5*l - 4 = 16. Let t(w) be the second derivative of -w**4/12 + 2*w**3/3 + 2*w**2 + 4*w. What is the lowest common multiple of t(4) and l?
4
Suppose -p + 6 + 6 = 0. Suppose 650*z + 84 = 657*z + 2*l, 0 = 2*z + l - 24. What is the smallest common multiple of z and p?
12
Let x = -6153860091467/202576086 + -25/11254227. Let w = x + 30379. Calculate the common denominator of w and 13/90.
270
Let g = 3440/9 + -390. Let p be 13/(-42) + (-11)/(-33). Let f = -17/6 - p. What is the common denominator of f and g?
63
Let t = 4/108033 - 11781277/153406860. Calculate the common denominator of t and 53/50.
7100
Let s = 55 - 45. Let n(a) = a**2 - 13*a + 34. Calculate the least common multiple of n(s) and 44.
44
Suppose 0 = -21*v + 19*v - 6, 2*u + 5*v = 31. Suppose -w - 2*y = 0, u*w = 27*w + 5*y - 12. Calculate the lowest common multiple of 192 and w.
192
Let u be 4 + 8/((-4224)/3956). Let g = u + 25/12. Calculate the common denominator of g and -3/20.
220
Let i(z) = 39*z + 3195. What is the least common multiple of i(-81) and 1650?
9900
Suppose -5*n + 80 = -n. Suppose -128 + n = -3*s. Calculate the lowest common multiple of 7 + (-9 - -16 - 11) and s.
36
Suppose 4*k - 14 = 2*c, 10*k + 4*c = 14*k - 12. Suppose -2*t = k*w - 26, -2*t - 3*w + 5*w + 2 = 0. Calculate the lowest common multiple of 10 and t.
10
Suppose 0*g + y = -2*g + 28, 2*g - 38 = 4*y. Suppose 5*f = g, 0*t - 5*t + 2*f + 54 = 0. Find the common denominator of 6/27 - ((-81)/t)/(-3) and -125/36.
36
Let t(y) = y + 13. Let h = -13 + 4. Let z be t(h). Suppose 15*g = 11*g + z. Calculate the smallest common multiple of 11 and g.
11
Let a be ((-113)/(-555) - 0) + 49/(-245). Let i = -305259/49 - -339716599/54390. Let g = i + a. Calculate the common denominator of -59/84 and g.
84
Let k = -185 - -224. What is the lowest common multiple of k and 64/(36/9) + -1?
195
Let t = 1539804626/80100937 + -2/777679. Let m = t + -95029/5356. What is the common denominator of -25/18 and m?
468
Let n = -90323/6 - -15074. Find the common denominator of n and -79/4600.
13800
Let s(j) = -2*j**3 - 3*j**2 + 6*j + 6. Let f be s(-4). Calculate the common denominator of 2/(-3) - (-1909)/(-2622) and ((-25)/(-100))/(4/f).
152
Let i = 269 + -258. Suppose 0 = i*h - 89 - 10. What is the least common multiple of h and 40?
360
Suppose 2*m = -2*i - 8, -32 = 5*i + 31*m - 29*m. What is the least common multiple of 16 and -2*(-30)/4 + i?
112
What is the common denominator of (-8)/20 + (2/(-920))/(4403/(-742322)) and 50/253?
18722
Suppose i + 9 = 2*d, -4*i - i - 25 = 0. Let x(y) = y**3 - 11*y**2 - 3*y + 36. What is the smallest common multiple of x(11) and d?
6
Calculate the common denominator of (3/44)/((-1)/18) and 8 + (-17390)/2100 + 1.
2310
Let t(i) = -31*i - 95. Let g(m) = 28*m + 94. Let u(h) = -7*g(h) - 6*t(h). Calculate the smallest common multiple of u(-12) and 16.
32
Let j = 141 - 143. What is the common denominator of j/(-5) + (-568)/(-280) and 3/(-24)*(-226)/(-3)?
84
Let p = 1625/151056 + -4/1049. What is the common denominator of p and 107/18?
144
Let d = -5197 + 11029. Calculate the smallest common multiple of 36 and d.
5832
Find the common denominator of (-20)/50 - (-484)/(-90) and ((-27)/210)/(132/(-2618)).
180
Suppose 124*x = -v + 121*x + 42, 0 = 2*v + 5*x - 86. What is the lowest common multiple of v and 20?
240
Let g = -41029 + 41033. Calculate the lowest common multiple of 1298 and g.
2596
Let l = 643931/6804 + -1985/21. Calculate the common denominator of l and 25/324.
972
What is the common denominator of -41 and 357/(-672)*56/(-144)?
576
Suppose -3*f = 140*g - 137*g - 1266, 0 = 3*g + 24. Calculate the lowest common multiple of f and 16.
3440
Let c = 19246 + -57739/3. What is the common denominator of 37/8388 and c?
8388
Calculate the lowest common multiple of 153 and (-59 - 1)*((-33)/18 + 74/(-111)).
7650
Let j = 5193/8 - 661. Calculate the common denominator of (-4*3/28)/(400/952) and j.
200
Let v(i) = i**2 + 4*i - 2. Let x be v(1). Let o be (45/(-10))/(x/8). Find the common denominator of (54/(-15))/(o/105) and 43/10.
10
Let v be 2 + 85522/8240 - (2 - 0). Let r = v + -2/515. Let k = -92185/22 + 4189. Find the common denominator of r and k.
88
Let o = -343/530 + 473887/744120. Find the common denominator of 103/108 and o.
2808
Let v = -225 + 4404. Let n = v + -45934/11. Find the common denominator of n and 1/(-5)*205/(-2).
22
Let k = 2850 - 1188. Suppose 2*w - 967*c = -958*c - 23, 3*w - 81 = -3*c. Calculate the smallest common multiple of w and k.
16620
Suppose 10*w = 14*w + 160. Let y be ((-58061)/w)/((-18)/45). Let j = -3626 - y. What is the common denominator of -95/4 and j?
16
Let u(j) = -5 + 4 + 6 - 51*j + 4*j - 3*j**2. Let a(q) = q**2 + 16*q - 2. Let d(x) = 17*a(x) + 6*u(x). Calculate the lowest common multiple of d(-9) and 7.
35
Suppose -4*b - 2577 = -49273. Let p = 525293/45 - b. Find the common denominator of -16/33 and p.
495
Let b = 59 + -51. Find the common denominator of (63/2)/(15 - (b - 4)) and 81/4.
44
Suppose f - 2*q = -q + 11, 2*f = q + 21. Suppose 90 - 202 = -2*l. Calculate the smallest common multiple of f and l.
280
Let h = -1754/5 + 1381/4. Suppose -7*b - 645 = -1. What is the common denominator of h and 407/(-30) - (b/(-20) - 4)?
60
What is the common denominator of 25/2256 and (-12555)/6300 + (-2)/5 - (-1)/(-7)?
15792
Let f be 2 + 1 - (-12)/(-3). What is the common denominator of f/(-1) + 7/(1316/(-288)) and (1/2)/(44/40)?
517
Let y = -7378/7625 - -60/61. Find the common denominator of -27/35 and y.
875
Let d(j) = -j. Let r(v) = -4*v. Let b(s) = 4*d(s) + r(s). Let w be b(-1). Suppose -32 = -12*l + w*l. What is the least common multiple of l and 3?
24
Suppose -2*b = -8 - 0. Let z(p) = -2*p**2 - 22*p + 642. What is the least common multiple of b and z(13)?
36
Let v(j) = -140*j + 27. Let i be v(-7). Find the common denominator of i/(-152) - 3/(-1) and -37/70.
280
Let h = -15004876/99 - -151564. Let f = -800/11043 + -2/1227. What is the common denominator of f and h?
297
Let z(y) = y**3 + 6*y**2 - 26*y - 99. What is the lowest common multiple of 70 and z(-5)?
280
Suppose -251*a + 182*a + 27807 = 0. Calculate the least common multiple of a and 169.
5239
Let u be -44 + 0/(-2) + 4. Calculate the common denominator of 4 - 2 - (-425)/u and 1102/60 - (-63)/(-315).
24
Suppose 15628 = 48*q - 11252. Calculate the common denominator of 71/8 and (104604/q)/(-23) + 8.
280
What is the lowest common multiple of 11 + (2 + -1)*-1 and 5*24/160 - -77*(-2)/(-8)?
20
Suppose -2*g - g = -12. Suppose 8 = -4*o - 0