g - 54. Suppose -2*c + 2*b = 0, 4*c + 5*b + 40 = c. Let q be w(c). What is the lowest common multiple of 14 and 30/2 + (q - (0 - 5))?
112
Let k = -3376 - -3486. What is the least common multiple of 495 and k?
990
Let x = 184619618/1965 + -93954. Calculate the common denominator of x and 39/5.
1965
Let j = -686 - -2222. Find the common denominator of -89/596 and (-2)/(-7)*(-39872)/j.
1788
Suppose -47 = 3*d - 1322. Let a = d + -339. Calculate the smallest common multiple of 8 and a.
344
Suppose g = 5*g - 800. Let h(p) = p**3 - 11*p**2 - 23*p - 2. Let b be h(12). Let l = b + g. Calculate the least common multiple of 20 and l.
660
Suppose -4*c + 4*d - 175 - 121 = 0, 0 = 5*c + 5*d + 400. Let z = 97 + c. What is the smallest common multiple of 80 and z?
80
Suppose 5*m - 18 = -23. Calculate the lowest common multiple of ((-81)/18)/(m/4) and 14.
126
Suppose -19*y + 4408 - 228 = 0. Calculate the lowest common multiple of 14 and y.
1540
Suppose -14 + 6 = -2*t + r, -16 = -2*t - 3*r. Suppose -t*s - 3*i + 43 = 0, -2*s + 4 = -i - 22. Calculate the smallest common multiple of 5 and s.
55
Suppose 12 = -3*k + 36. Let q(t) = -12*t + 120. Calculate the smallest common multiple of q(k) and 21.
168
Let w = -338 + 188. Let a be w/35 - -4 - (-2090)/14. Suppose 3*m - a = -53. What is the smallest common multiple of m and 10?
160
Let z = 1077 + 1367. Suppose -36*t - z = -7160. Calculate the smallest common multiple of 11 and t.
1441
Let l(w) = 102*w - 29. Let t be l(9). Let j be 3/(-2) + t/14. Suppose -3*f - 8 = -j. What is the smallest common multiple of 28 and f?
252
Suppose 30*p + 63*p = 31992. What is the least common multiple of p and 9?
3096
Suppose 23*a + 15*a - 120540 = -11*a. What is the lowest common multiple of a and 180?
7380
Let k = 24002 + -480137/20. Find the common denominator of k and (10/(-16))/((-20)/(-35)).
160
Suppose -5*d = -8 - 12. Suppose 0 = -4*k + d*p + 1956, k - 5*p - 1961 = -3*k. Find the common denominator of (3*1)/(k/136 - 4) and -26/21.
105
Suppose -5*n = -7 - 8. Let z(a) = a**n + 85 - 115 + 35*a - 21*a**2 - 12*a. What is the lowest common multiple of 12 and z(20)?
60
Find the common denominator of (-5)/240*-146*(-9)/6 and (-330)/(-40) + -2 + 0.
16
Let o(y) be the first derivative of -1/3*y**3 + 1/4*y**4 + y - 29 + 1/2*y**2. Calculate the least common multiple of 1 and o(1).
2
Suppose 0 = 6*j - 1376 + 80. Let w be (j/(-14))/(26/(-273)). Suppose -2*n = 4*n - w. Calculate the lowest common multiple of n and 21.
189
Let x = 48/5 + -199/15. Let a(k) = k**3 - 15*k**2 + 9*k + 5. Let n be a(12). Let j = -1283/4 - n. Calculate the common denominator of j and x.
12
Let s = 2 - -11. Calculate the common denominator of (-230)/(-42) - s/39 and 1 + (-2 - 204/(-99)).
231
Suppose -135 = 103*w - 88*w. What is the common denominator of ((-182)/(-36))/((-15)/w) and 71/140?
420
Suppose -4*q + 4*i = -8, -i + 3 = 3*q + 1. What is the common denominator of 141/(-2115)*-1*q*-8 and 79/120?
120
Let i = -324 - -327. What is the common denominator of 110/(-56) + i - 8/28 and (0 + 70/32)/(-1)?
16
Let v = 137603/2827500 - -3/16250. Calculate the common denominator of 119/20 and v.
1740
What is the common denominator of (-265)/(-110) + ((-976)/144 - 4/18) and -57/104?
1144
Find the common denominator of 194/24 - 2/2 and (-1677)/(-169)*20/60.
156
Let l be (104/8463)/(1 + (0 - 3)). Let n be 2837/(-465)*(-10)/(-56). Let t = n - l. Calculate the common denominator of t and 63/16.
48
Let m(b) = -b**3 - 5*b**2 + 148*b - 11. Find the common denominator of -27/16 and m(10).
16
Suppose -27*c + 303 = 19*c - 157. Calculate the lowest common multiple of 240 and c.
240
Let p(r) = r**3 - 3*r**2 - 8*r + 5. Let s be p(5). Let d = -8 + s. Suppose -d*q = -q - 48. What is the lowest common multiple of 36 and q?
72
Let q be ((-15)/(-25))/(6/5 - 1). Suppose -32 = -c - q*c. Calculate the lowest common multiple of c and 24.
24
Suppose -5*j + 4*c + 53 + 45 = 0, 125 = 5*j + 5*c. Calculate the lowest common multiple of j and 66.
66
Let w = 9/1273 - -62233/20368. Calculate the common denominator of 59/6548 and w.
26192
Let y = 38299/7112 - 473/127. Calculate the common denominator of y and -97/420.
840
Let p(h) = 65*h - 422. Let w(z) = 42*z + 176. Let u be w(-4). Calculate the lowest common multiple of 21 and p(u).
294
Let f = -12126 + 8282. Let q = 38491/10 + f. Calculate the common denominator of -93/8 and q.
40
Let t be (-1)/3*(-1980)/(-40)*-54. Find the common denominator of -4 - -6 - 1719/t and -91/90.
990
Let y(t) = -t**3 - 4*t**2 - 8*t - 12. Let c be y(-6). Let o = -604/7 - -87. Calculate the common denominator of o and (4 - (-57)/(-12))/(8/c).
56
Let u = -14/31 - -901/279. Find the common denominator of -43/810 and u.
810
Suppose 0 = -5*r + 3*u + u + 2, -r - 4 = -3*u. Suppose 1052*b - 317533 + 64597 = 52144. What is the lowest common multiple of b and r?
290
Suppose -5*j = -m + 62, -2*m + 5*j = -0*m - 119. Let w = m + -47. What is the smallest common multiple of w and 1?
10
Let o = 294 - 294. Let p = 6/281 - -18791/1686. What is the common denominator of p and 4383/(-594) - o - -6?
66
Let r be 9/6*76248/40. Let w = r + -2852. What is the common denominator of w and -73/15?
30
Let z = 383 + -2293/6. Suppose 4*o - 61 = 5*g, 5*o + 7*g - 9*g - 72 = 0. Suppose -16 = -5*i + o. Find the common denominator of z and i.
6
Let u = -20 - -23. Suppose 2*q - 5*m - 18 = 23, 2*q + u*m - 1 = 0. Suppose -68 = -q*o + 6*o. What is the lowest common multiple of o and 4?
68
Calculate the lowest common multiple of 186 and 28 - 6 - (-22 + 36).
744
Let h = -937187/30 - -31235. What is the common denominator of 26/561 and h?
5610
Let i be (26/(-65))/(1/5). Suppose 6*g = g + 30. Calculate the lowest common multiple of g and 6/(i/(-1)) - (-13 + 7).
18
Let i(y) = -3*y + 26. Let j(k) = k - 9. Let c(x) = -2*i(x) - 7*j(x). Let r be c(10). What is the least common multiple of (-3 + -2)/(r/(-8)) and 28?
280
Let w be ((-544)/(-85))/(66/(-70) + 1). Suppose 13*s + w = 9*s. Calculate the common denominator of s and -28/33.
33
Let b(z) = -2*z - 43. Let n be b(-24). Suppose -4*m + 9072 = n*m. What is the common denominator of 2*1 - (m/(-351) - -5) and -65/2?
78
Suppose -35*d + 9*d + 20878 = 0. Suppose 0 = 14*k - 457 - d. Calculate the least common multiple of k and 18.
90
Suppose -4*f + 20 = -2*w + 6*w, -2*f = 4*w - 14. Suppose -11 = v - 5*c + 2*c, -f*v + 4*c = 23. Find the common denominator of -68/15 and (2133/(-180))/((-6)/v).
120
Find the common denominator of 53/763 and (10/(-231))/(706/(-3177)).
8393
Let d(u) = 14*u**2 - 42*u + 13. What is the lowest common multiple of 495 and d(7)?
4455
Find the common denominator of (-1312)/615 + (-3)/(-6) and (-650)/4*(-1)/15.
30
Suppose 4*p = 3 + 9. Suppose 3*d - 57 = -45. Suppose d*g + 4*b + 11 - 3 = 0, 5*g = -3*b - 2. Calculate the smallest common multiple of p and g.
6
What is the common denominator of -10 + ((-5910)/(-405) - 7/3) and (-7)/(-9)*396/(-120)?
270
Let h = -442/15 + 66053/2235. What is the common denominator of h and 89/80?
11920
Find the common denominator of 50/(-1144)*(84/(-8) - (-25 - -15)) and 53/572.
1144
Suppose -4228 = -84*i + 22*i - 198. What is the smallest common multiple of i and 130?
130
Suppose 3*w = -w + 8. Let r = -1946 - -1948. Suppose -43 = -5*c + r*f, -3*f + w = -f. Calculate the smallest common multiple of 47 and c.
423
Suppose 0*t - 3794 = -3*t - 2*p, 0 = -2*t - 5*p + 2533. What is the lowest common multiple of t and 5?
6320
Suppose -76 = -5*t - 51. Suppose 3*y = 3*y + t*y. Calculate the least common multiple of y - 2*(-12)/(-2 - -4) and 6.
12
Let w = -1/1283 + 60321/25660. Let o = 52/5 + -2119/10. Let y = o - -201. Calculate the common denominator of y and w.
20
Let x = -2/173836655969 - -23650650881449615/18356803197014462. Let r = -32/1427 - x. What is the common denominator of r and 99/4?
148
Suppose -10*t + 6 = 96. What is the smallest common multiple of 75 and -2 + (-5 + 10 - t)?
300
Let f = 808043/20 - 40400. Find the common denominator of f and 45/16 + 1 + 0.
80
Calculate the common denominator of 4 - (-2 + 4) - (-62543)/(-30836) and 115/12.
7116
Let g = 7216 + -72171/10. What is the common denominator of (-2)/(-12)*(-121)/4 and g?
120
Let x(g) be the second derivative of -g**4/6 + 2*g**3 - 11*g**2/2 - g + 11. Calculate the smallest 