400 = 20*y. Let i = y + -124. Suppose -5*w - 6 = 2*s - 18, -4*s + 2 = -w. What is the smallest common multiple of w and i?
16
Let w = 110 - 107. Calculate the common denominator of -74/9 and (-6957)/(-810) - w/15.
18
Suppose 7*n = 77 - 42. Suppose -8*y - 66 = -19*y. Suppose y*c - 37 = 17. What is the smallest common multiple of n and c?
45
Let p = -127 + 8143/64. Find the common denominator of p and (-27)/63 - (-1062)/2576.
1472
Find the common denominator of 2/(-4)*(-166)/32 and (6494/792)/17 - (-60)/270.
352
Let r = -1728 - -1731. Calculate the lowest common multiple of r and 302.
906
Suppose 0 = -12*b + 181 - 66 + 173. Calculate the least common multiple of b and 310.
3720
Let q = 19543 - 9259. Calculate the lowest common multiple of q and 4.
10284
Let y = -189 - -101. Let q = 54 + y. Let k = 44 + q. Calculate the smallest common multiple of k and 6.
30
Let w = 36 + -261. Let x be 5/(w/55 + 4). What is the common denominator of -103/14 and 22/x - (-1054)/60?
42
Let d be (-4269)/(-4)*6/117. Let l be 136/(-26) + 0/(-2). Let c = d + l. Calculate the common denominator of c and 53/13.
26
Let d be (18/4 + -4)*-12. Let a(m) = 13*m + 80. Let o = -137 - -193. What is the lowest common multiple of a(d) and o?
56
Suppose -49*s - 3213 = -76*s. Calculate the lowest common multiple of s and 29.
3451
Let y = 30013 + -720187/24. Suppose -93163 = -5*s - q - 17308, 5*q = s - 15145. Let a = 363949/24 - s. Calculate the common denominator of a and y.
24
Let t = 874/29 + -16034/609. Calculate the common denominator of t and 41/624.
4368
Let i be 9554/4 + 12/(-24). Calculate the common denominator of 10/6*(-3)/(-22) and 3/30 - i/480.
88
Let w(v) = v**2 - v - 42. Let d be 1/(2*5/80). Calculate the least common multiple of 44 and w(d).
308
What is the lowest common multiple of ((-459)/(-34))/(-9) + 743/2 and 74?
370
Suppose 0 = -91*h + 29*h + 1984. Calculate the least common multiple of 176 and h.
352
What is the common denominator of -41/378 and -3 + 2438/648 + (-9)/36?
1134
Let f = 0 + -4. Let g(i) = -6*i + 11. Let u be g(f). What is the common denominator of 53/2 and (-166)/u - (-10)/(-25)?
14
Let t(b) = -4*b + 184. Let s be t(46). Suppose s = 4*v + 40*v - 176. Let w = 4 - -1. Calculate the lowest common multiple of w and v.
20
Let k(h) be the second derivative of -2*h**3/3 + 60*h**2 - 22*h - 3. What is the lowest common multiple of 68 and k(22)?
544
Let z = 5995/7 - 850. Let c be (-2)/(-12) + 429/18. What is the common denominator of (c/15)/(2/3) and z?
35
Let d(w) = -2*w + 34. Let p be d(-2). Find the common denominator of p/76 + 186/(-56) and -5/14.
28
Let w be (1621/(-60))/(4/18). Let v = w - -887/8. Calculate the common denominator of ((-144)/60)/(28/(-50)) and v.
70
Suppose 253 = 8*q + 61. Let v be (90/8)/(3/36). Suppose v = 23*f - 18*f. What is the lowest common multiple of q and f?
216
Suppose 0 = 35*u - 13*u - 44. Suppose 0*t + 1138 = 3*t - u*d, 366 = t + 2*d. What is the smallest common multiple of t and 10?
1880
Calculate the least common multiple of 20 and 7*15/(-35) - -3681.
36780
Let n = 74357/8848 + -690/79. What is the common denominator of -6 - 11/((-9240)/6612) and n?
560
Let y be (-21)/(-6) + 2*5/(-20). Suppose y*u + 6 - 18 = 0, -116 = -4*t + u. What is the lowest common multiple of 3 and t?
30
Let n(v) = 64*v - 227. Let g(i) = 16*i - 56. Let k(t) = -9*g(t) + 2*n(t). Calculate the smallest common multiple of k(3) and 217.
434
Let w(d) = -29*d**3 + d**2 + 8*d + 8. Let o be 1/(((-18)/27)/((-2)/(-3))). What is the lowest common multiple of 48 and w(o)?
240
Let x(s) = -26*s**2 + 9 + s**3 + s + 19*s**2 - 2*s. Let i = -53 - -55. Calculate the smallest common multiple of i and x(7).
2
Suppose 2 = -n + 6. Let b be (-152)/95 + n/(-10). What is the common denominator of -37/18 and 19/b*1*34/459?
54
Let h = 72399 + -4344047/60. Let g = 11/45 - -83/90. Find the common denominator of h and g.
60
Let r = -43 + 61. Suppose -4*k = -r + 2. Suppose 113 = k*u + 29. Calculate the smallest common multiple of 33 and u.
231
Let d = -31471 - -31472. Calculate the smallest common multiple of 1468 and d.
1468
Let r = 4790539/33 + -1574341/11. Let g = r - 2044. Let i = 5069 - 45563/9. What is the common denominator of g and i?
99
Let z be -1 + 10/(-15)*-3. Suppose -5 - 19 = -4*n. What is the least common multiple of n and (z - 2) + (-48)/(-3)?
30
Let n = 8 + -5. Suppose -n = -s + 21. Let p(v) = -2367*v + 66292. Calculate the least common multiple of s and p(28).
48
Suppose 2*a + 38 = 3*m, 53 - 93 = -3*m + a. What is the lowest common multiple of m and 9184?
9184
Let z be (-2)/(-5) - (-576)/10. Find the common denominator of z/(-82) - (1 + -2) and (1200/2016 + 1/(-6))*(-310)/30.
287
Calculate the common denominator of -115/312 and ((-13)/(-507)*13)/(19/5).
5928
Let y = 72 + -42. Let x = -27 + y. What is the common denominator of (14/5 - x)/(4/218) and 83/4?
20
Suppose 2 = 3*x - 10. Let h(y) = y**3 - 13*y**2 - 66*y - 22. Suppose 3*b = -2*b - f + 85, 0 = 5*b - 4*f - 85. What is the lowest common multiple of h(b) and x?
12
Find the common denominator of 17/9 and 12831/2133 - (-45)/27*18/(-5).
711
Let n = 53 - 49. Suppose -n*w + 18 = -18. Suppose 6*z + 9 = w*z. What is the smallest common multiple of z and 7?
21
Let c(l) = -2*l**2 - 22*l + 30. Let u(m) = -30*m + 48. Let o be u(2). What is the smallest common multiple of c(o) and 6?
6
Let v = -13363/6 + 2222. What is the common denominator of 2 + 657/(-474) - (1 + -1) and v?
474
Let m(s) be the third derivative of -s**6/120 + 3*s**5/10 - 4*s**4/3 + 3*s**3/2 + 81*s**2. Calculate the smallest common multiple of m(16) and 12.
36
Calculate the lowest common multiple of 18 + 5/(-5) - 0 and (-33)/6*4*(-3)/6.
187
Let w = 1218419/495 - 27108/11. Let g = w - -25/9. Calculate the common denominator of 1*3 + (-245)/252 and g.
180
Let u = 323657 - 1160430. Let s = -11744421/14 - u. Let z = -2117 - s. Find the common denominator of 101/6 and z.
42
Let w = 69 - 87. Let y be 4/w + 18/81. Suppose 0*a + 4*a - 32 = y. What is the lowest common multiple of a and 11?
88
Let a = -31 + 25. Let h be (-47503)/(-4) + 3 + a/(-24). Let x = 427495/36 - h. What is the common denominator of 67/16 and x?
144
Let n(i) = -15*i + 14. Let y be n(-10). Suppose -6*r + y = -16. What is the smallest common multiple of 45 and r?
90
Let u(m) = m**3 - 8*m**2 - 20*m - 19. Let f be u(10). Let t = 5 - f. Let b = -8 - -20. What is the lowest common multiple of b and t?
24
Calculate the common denominator of (-21580)/(-585)*(-3)/544 and 13/360.
6120
Let n be (4103202988/(-64404144))/19 - -3. Let r = n + -2/447251. Calculate the common denominator of -49/9 and r.
252
Let s = 2 + -6. Let h be (10/s)/(-4 + 28/8). Suppose -h*v + 97 = -3*t, 3*v - t - 79 = -v. What is the least common multiple of v and 22?
220
Let k(b) = 35*b + 993. Calculate the smallest common multiple of 120 and k(-27).
240
Find the common denominator of ((-87)/90 + 1)/(9 + 4298/(-490)) and 45/64.
192
Let u = 2425006/117 + -20727. Find the common denominator of -25/351 and u.
351
Let v = 101878 - 86392529/848. Find the common denominator of 67/8 and v.
848
Let h(j) = -j**2 - 16*j + 5. Suppose -6*g + 287 = -427. Calculate the least common multiple of g and h(-7).
476
Let v = 37/4 + -53/3. What is the common denominator of v and 67/24?
24
Let m = -17258 - -17348. Suppose 20 = 2*u + 3*r, -30 = -2*u - u - 3*r. Calculate the lowest common multiple of m and u.
90
Let a(h) = h**2 - 14*h + 60. Let g be a(4). Let p = -24 - -36. Let w = g - p. Calculate the lowest common multiple of w and 10.
40
Suppose 5*q + 0*q - 41 = -2*w, 4*w - 4*q = 68. Let k(m) = -232*m - 8288. Calculate the lowest common multiple of k(-36) and w.
576
Let o(c) = -c**3 - 4*c**2 - 21*c - 32. Let i be o(-8). Let a = 410 - i. What is the least common multiple of 102 and a?
306
Let x be (-106)/((3 - 1) + -4). Suppose 0 = -2*o - 3*p + x, 26 + 52 = 2*o - 2*p. Calculate the smallest common multiple of o and 8.
136
Let c(j) = 57 - 2158*j - 8 + 2169*j. Calculate the lowest common multiple of 16 and c(15).
1712
Suppose 15*q - 17*q = -18. Suppose -q*h = -8*h + 8. Let f(y) = -y**2 - 7*y + 16. Calculate the lowest common multiple of 10 and f(h).
40
Let o = -137 - -42. Let s = -73 - o. What is the smallest common multiple of 9 and s?
198
Suppose 172*f =