p*n + 15, -2*v - 15 = -n + 5. Suppose -a + 6*a = n. What is the least common multiple of a and 13?
26
What is the common denominator of (-2706)/(-627) + (1 - 3) and 20/10 + 2*73/(-52)?
494
Let k(g) = -3*g - 7. Let f be k(-8). Let b = f - 1. Suppose -191*o = 8*o + 411*o - 6100. Calculate the lowest common multiple of b and o.
80
Suppose 27*w = 12*w + 60. What is the smallest common multiple of w/34 + (11000/(-34))/(-4) and 45?
405
Suppose 706 = -5*h + 2*c, 6*h + 545 = 2*h - 5*c. Let z = h + 174. What is the smallest common multiple of 4 and z?
68
Let i(q) = -q**3 - 7*q**2 - 5*q - 1. Let f be i(-6). Let y = 503 + -1436/3. Calculate the common denominator of f + (-82)/6 + 1 and y.
3
Suppose -35*a + 34*a + 115 = 0. Suppose a = -2*o - z, -3*o - 174 = z + 2*z. Let v = -55 - o. Calculate the smallest common multiple of v and 52.
52
Suppose t - 44 = -2*f, -3*f - 290 = -5*t + f. What is the least common multiple of t and 54?
54
Let s(c) = -16*c**3 + 42*c**2 + c - 25. What is the smallest common multiple of 506 and s(-3)?
8602
Let k = -655/4 + 163. Let d = 17 + -21. Find the common denominator of k and (39/(-52))/(66/d).
44
Suppose 4*d = 4*h - 16, -h = -4*h + d + 12. Suppose 0 = -3*c - m + 25 + 18, h*m = 4. Calculate the common denominator of c/(-54)*21/1 and -17/6.
18
Let d(w) = 3*w + 2. Let u be d(-4). What is the lowest common multiple of 45 and u*((-188)/36 - 8/(-36))?
450
Let a(r) = 57*r - 3059. What is the smallest common multiple of 60 and a(67)?
2280
Suppose 33*j + 576 = 4*d + 30*j, 3*d - 5*j - 421 = 0. Suppose d*g + 432 = 153*g. Calculate the smallest common multiple of 63 and g.
504
Calculate the common denominator of ((-34)/85 - 2508/(-6345))*498/8 and 70/3.
282
Let t = 707307 + -786525303/1112. Calculate the common denominator of t and 29/200.
27800
Let g = -154 + 159. Calculate the lowest common multiple of 14 and -2 + 3 + g + 134.
140
Suppose 31*i - 29*i + 1644 = 0. Calculate the common denominator of (-1 + -1)*i/(-216) and 4/3.
18
Let k(n) = 10*n**3 + 6 + 7*n**3 + n**2 - n - 18*n**3. Let b = -26 + 37. Calculate the lowest common multiple of b and k(0).
66
Suppose -2*x - 8 = 2*n, 3*n - 2*x = -2*n - 55. Let v be -5*n/15 + -3. Suppose 0*j - 20 = -2*j + h, -4*h = v. Calculate the smallest common multiple of 10 and j.
10
Let f(o) = 59*o + 9039. Calculate the smallest common multiple of 4160 and f(-125).
8320
Let z = 390 + -386. Suppose 9*g - 8*g = 4*t - 1, -z*g - 3*t = -72. What is the lowest common multiple of 21 and g?
105
Find the common denominator of 144/16 + (-1231295)/136708 and -149/12.
31548
Find the common denominator of 34/12*70/10 and 122*1/42 + -2.
42
Calculate the common denominator of -179/120 and 6*1590/405*3/(-528).
3960
Let v be ((-3)/(-316))/(6353730/907536 - 7). Let u = v + -679/79. Let c = -12109/978 + u. What is the common denominator of c and -85/18?
18
Let a(n) = -180*n - 4246. Calculate the least common multiple of a(-26) and 49.
3038
Let k = -27660 - -27663. Calculate the lowest common multiple of 7801 and k.
23403
What is the lowest common multiple of 3942/60 + (-6)/(-20) and 42?
462
Let s = 8982 + -107909/12. Suppose -2*h + 0 = 8, u - 5*h = 108. Find the common denominator of (17/5 - 3)*530/u and s.
132
Suppose -29*x = -27*x. Suppose m + 5*m + 168 = x. Calculate the common denominator of (-102)/m - (-42)/(-147) and 71/52.
364
Let c = 549 - 335. Let n = 17/19 + -42/19. Calculate the common denominator of n and (-3)/(-12) - c/40.
190
Let n = 9124506583/48 + -190077757. Let g = n + -16131. What is the common denominator of (1/24)/((-2)/28) and g?
48
Let q = -322 + 489. Let d = q + -162. Calculate the lowest common multiple of 2 and d.
10
Let r = 3 + 2. Suppose -b + 3*t + 15 = -2*t, r*b = 4*t + 33. Let i(s) = s**3 - 25*s**2 - 6*s + 161. What is the least common multiple of i(25) and b?
55
Let a = 29087/6 - 4851. Calculate the common denominator of a and 85/324.
324
Suppose 0 = -g - 3*g + 4*u + 28, -5*u = -2*g + 23. Suppose -54*d = -66*d + 24. What is the least common multiple of g and d?
4
Let t(k) = -k**3 + 46*k**2 - 304*k + 35. What is the least common multiple of t(9) and 2072?
2072
Let m(u) = -u - 6. Suppose 0 = 3*o - 4*o - 8. Let l = -38 + 40. Calculate the lowest common multiple of m(o) and l.
2
Let x be (-1 - (-18)/12)/((-1)/2). Find the common denominator of x + 438/(-176) - (89 - 92) and 45/44.
88
Let a(o) = -o**2 - 25*o - 32. Suppose -2*j + 160 = -12*j. What is the least common multiple of a(j) and 2?
112
Let y be (0 + -1)/(9 - (-743232)/(-82584)). Let t be ((-69026)/(-15))/((-4)/(-3)). Let p = y + t. What is the common denominator of p and 5/12?
60
Let i be (-644900)/204 + 1/3. Let p = i - -3160. Find the common denominator of p and ((-640)/24 - 2)*(-2)/(-4).
51
Suppose 0 = -4*p + 18 + 14. Find the common denominator of 123/182 and (-198)/28 - p/(-28).
182
Let a be 99072/2835*(-10)/(-4). Let x = -175/2 + a. Find the common denominator of 51/4 and x.
252
Let r be (-6)/(-18) - (-110)/(-6). What is the lowest common multiple of (-2)/r - (-53)/9 and 72?
72
Let v = -375 - -372. What is the smallest common multiple of 20 and (-5 - 13)*(-12)/(-27)*v?
120
Let h(l) = 0*l - 25 - 21*l**2 - 10*l**2 + 20*l**2 - l**3 + 7*l. Let y be h(-12). Let z = 50 - y. What is the least common multiple of z and 21?
105
Let y = -103697868/649271 + 2/92753. Let i = y + 22129/140. Find the common denominator of -117/20 and i.
20
Let q(u) = 100*u + 803. Calculate the smallest common multiple of q(-8) and 136.
408
Let h(s) = -14*s - 1. Let g be h(-1). Let j = g - 7. Calculate the least common multiple of ((-129)/172)/(5/(-12) - (-16)/96) and j.
6
Suppose -4*s - 2018 = -5*c + 134, 0 = -3*c + 4*s + 1288. Calculate the least common multiple of 432 and c.
432
Suppose 0 = 24*n - 35*n - 99. Let u(y) = 8*y + 10*y - 20*y - 8. What is the smallest common multiple of u(n) and 5?
10
Let z = -2756 + 3876. What is the lowest common multiple of 1120 and z?
1120
Let l be (3 + (-802734)/(-270))*3/(-2). Let i = l - -4467. What is the common denominator of -19/24 and i?
120
Let b = -60219/79622 - 59/971. Find the common denominator of b and -11/171.
14022
Suppose -s + 1 = -19. What is the smallest common multiple of 1/(-4)*-185 + (-5)/s and 8?
184
Let j(m) = -9*m + 35 + 140 + 2*m + 38. Calculate the smallest common multiple of j(29) and 35.
70
What is the common denominator of -109/88 and (42/(-16) - -3) + 2967/(-9460)?
440
Let a(y) = -y**3 + 46*y**2 + 146*y + 57. Calculate the least common multiple of a(49) and 36.
72
Let u(g) = 104*g + 2. Let c be u(1). Let f = c - 70. What is the lowest common multiple of 12 and f?
36
Let c(v) = 2*v**2 - 46*v + 278. Calculate the lowest common multiple of 266 and c(5).
1862
Let f be 8/(-40) - (-156)/5. Suppose f + 26 = 3*r. What is the lowest common multiple of r and 5?
95
Let f = 38813/36 - 1074. Calculate the common denominator of f and (-3 + 74/24)/2.
72
Let v(g) be the third derivative of g**5/60 - g**4/24 + 4*g**3/3 - 22*g**2. Let u(w) = 4*w - 2. Calculate the least common multiple of u(2) and v(4).
60
Let v(d) = d**3 + 11*d**2 - 25*d + 13. Let i be v(-13). Suppose -10*y + 9*y + 124 = i. Calculate the least common multiple of y and 16.
496
Let q = 671 + -667. Suppose 3*k - 2 = 1. Calculate the smallest common multiple of q and k.
4
Let w(d) = -2*d**3 + 86*d**2 - 79*d - 200. Calculate the smallest common multiple of 900 and w(42).
900
Let l = -7939 + 8623. What is the smallest common multiple of 84 and l?
4788
Suppose 1377*d + 297 = 1404*d. Let w = 85/6 + -5765/408. What is the common denominator of d and w?
136
Let t = 6099969/44 - 138627. Let h = -74/33 + t. Calculate the common denominator of h and -53/8.
24
Suppose 1 = x + d, -320*x + 315*x + 95 = -5*d. Calculate the lowest common multiple of x and 679.
6790
Let s(c) = -c + 14. Let w be s(10). Suppose w*l + 72 = 8*l. Let n = -5 + 15. Calculate the least common multiple of l and n.
90
Let t = -2659 + 2684. Calculate the lowest common multiple of t and 225.
225
Let m = 39 + -34. Suppose m*k = 87 + 273. What is the common denominator of (k/80)/(1/(-9)) and -39/20?
20
Suppose l = -2*l + i + 62, 5*i = 5. Let f = l + -15. Suppose -33 - 44 = -16*t + 51. What is the least common multiple of f and t?
24
Let u(s) = s**3 - 2*s**2 - 5. Let f be u(0). Let w = -60/67 - 530