t b be f(5). Suppose 32 - 368 = -b*n. Calculate the smallest common multiple of 48 and n.
336
Let u be 3516176237214/(-67410) + (-4)/(-6). Let s = 52161041 + u. Let r = s + -7/1070. Calculate the common denominator of -59/6 and r.
42
Suppose -4*u = -5*y + 132, -2*u + 3*u = 5*y - 123. Let g = 4876 + -4864. Let h = y - g. What is the smallest common multiple of 3 and h?
12
Suppose 0 = 5*c - 3*o - 158, -358*o + 354*o - 164 = -5*c. What is the smallest common multiple of c and 2048?
14336
Suppose 22601 = 11*x + 3725. Calculate the smallest common multiple of x and 715.
8580
Suppose -8*s = -7*s, x = -4*s - 98. Let u = -53 - x. Let y = 48 - u. Calculate the lowest common multiple of 9 and y.
9
Suppose -6*f = 8*f - 5*f. Suppose -x = 4*l - f*l + 137, -2*l + 5*x - 41 = 0. Let a = l - -51. Calculate the least common multiple of 2 and a.
18
Let j be -4*(4 - 8/4). Calculate the smallest common multiple of (j/5)/(((-20)/(-4))/(-100)) and 24.
96
Let m(j) = j**3 + 31*j**2 + 41*j + 390. What is the smallest common multiple of 220 and m(-30)?
660
Let g(n) = -n + 11. Let u be g(5). Find the common denominator of -5 - 5/(-220)*122 and u/(-4) - (-228)/30.
110
Suppose 0 = 570*r - 566*r - 12. Suppose -5*s - 659 = -3*p, s = r*p + 132 - 811. Calculate the smallest common multiple of p and 8.
456
Let w = 18 - 26. Let a = w - -14. Let v = 6 + -2. Calculate the lowest common multiple of v and a.
12
Let n = 15478/3 - 4983. Let m = n - 3772/21. What is the common denominator of 74/9 and m?
63
Let z be 4/(-3) + 8/6. Suppose z*r + 5*r = -200. Let q = r - -56. Calculate the smallest common multiple of q and 10.
80
Calculate the smallest common multiple of (-194)/(-18)*9 + -1*7 and 1278.
6390
Let q be (-505)/50 + (-12)/(-120). What is the common denominator of -103/10 and -7 + (-65)/q + 78/61?
610
Let q = -5898/17 - -163927/68. Let r = 2051 - q. Let m = -1002 - -9067/9. What is the common denominator of m and r?
36
Suppose -3*l + 65*v = 60*v - 1770, v + 594 = l. Calculate the lowest common multiple of 840 and l.
4200
Let b(s) = -17*s - 121. Let y be b(-7). Find the common denominator of 39/49 and 5 + (-768)/126 + 6 + y.
147
Suppose -3*h = 3*x - 58 - 215, 2*x = 5*h - 420. Let j be (4 + 260/4)/(3/h). Let z = j - 15909/8. What is the common denominator of z and 27/4?
8
Let z = 562 + -562. Let i(u) = -7*u**3 - 2*u**2 + 4. Let w = 5 - 4. What is the least common multiple of w and i(z)?
4
Let a(d) = d**2 + 38*d + 247. Suppose -6*s + s + 190 = 0. Let r = 58 - s. Calculate the lowest common multiple of a(-32) and r.
220
Let d(g) = 117*g - 82*g + g**2 - 30*g - 10. Let n be ((-14)/(-4))/((-2)/4). Calculate the least common multiple of 38 and d(n).
76
Let l = -213 + 123. Find the common denominator of (438/l)/((-4)/3) and 17/(-36) - (-1)/(-4).
180
Suppose 0 = 5*z - 10 - 40. Suppose 0 = -13*n + z*n + 54. Let g = 361 - 352. Calculate the lowest common multiple of n and g.
18
Let z be (5/(-1))/(3 - 0)*-6. Let i(w) = -w**2 - 17*w + 1. Let r be i(z). Calculate the common denominator of (-14)/49 - (-2 + r/(-112)) and 29/18.
144
Let l = 3012 - 18055/6. Find the common denominator of 74/3585 and l.
7170
Let m(u) = 8*u**2 - 3*u + 6. Let q be m(3). Calculate the common denominator of 15/(-45) - (-34)/q and 17/21.
483
Let c(x) be the first derivative of x**4/4 + 12*x**3 + x + 148. What is the lowest common multiple of 1*-2 - 12/(-2) and c(-36)?
4
Let n = -2028 + 1979. Let l = -24 + 77. Let i = n + l. Calculate the smallest common multiple of i and 14.
28
Let h be (14 - 0)*4/(-8). Let g be 0 - -2 - (h + 13). What is the common denominator of -43/14 and (-2)/24*-61 + g?
84
Let l(a) = -9*a**3 + a**2 - 1. Suppose -4*g + 4 = -12. Suppose 0 = g*h - r + 5*r + 12, -4*h = -4*r - 4. Calculate the lowest common multiple of l(h) and 25.
225
Let v = 3 - 0. Suppose -v*q = -3*p + 45, 4*q - 2*q - 110 = -5*p. Suppose -2*l + 24*l + 1504 = 116*l. Calculate the smallest common multiple of p and l.
80
Let u(k) = 2*k**2 - k - 5. What is the smallest common multiple of (-484)/77 - (-2)/7 - -50 and u(5)?
440
Calculate the common denominator of 2 + 19/(583/(-371) - 2/2) and 19/1023.
6138
Let o = -190671/136268 + 231/163. Calculate the common denominator of o and -23/88.
1672
Let m = 1654 - 1654. Find the common denominator of (-6)/4*(-1)/(-2) and 26381/9324 + (2 + m)/14.
36
Let s = 2313 - 601391/260. Calculate the common denominator of s and -81/286.
2860
Let l be (-6 - -18)*(-2)/(-3). Let q be 3 + 1052/l*-2. Calculate the common denominator of 45/16 and 2 - q/48 - 0.
48
Let z be 4 + (-9)/(-18)*285042/(-35629). Let w = -377916833/213774 - z. Let q = w + 1754. What is the common denominator of q and 65/74?
222
Let m = 28084 + -151681682/5401. Let k = m + -216058/48609. Calculate the common denominator of 2/39 and k.
117
What is the common denominator of -13/23 and (-156)/72*((-9 - -6) + 2)?
138
Suppose -9*i = -0*i - 918. Suppose 7*s = 38 + i. Suppose -160 = -273*v + 268*v. Calculate the smallest common multiple of v and s.
160
Let u = -10687972862 - -1058080596101/99. Let q = 290070 + u. Let t = q + 40/33. Calculate the common denominator of 41/10 and t.
90
Find the common denominator of 81/8 and (-306)/(-20)*(-170)/282234*(1 - -1).
22136
Calculate the least common multiple of 666 and (-988)/(-22) - (-152)/1672.
3330
Let t = 14219171/399 + -35637. Find the common denominator of -167/84 and t.
1596
Suppose 82*w + 1124657 = 140*w + 121*w. What is the smallest common multiple of w and 427?
43981
Let f(a) = 60*a**2 - 157*a + 31. What is the lowest common multiple of 11 and f(7)?
20592
Let y(o) = -24 + 38 - 14*o**2 + o + o**3 + 34 - 2*o - 10*o**2. Calculate the least common multiple of 21 and y(24).
168
Suppose 5*p = 3*i + 276 + 402, -4*p - i + 539 = 0. Suppose -p*l + 127*l = -320. What is the lowest common multiple of 20 and l?
40
Let s be (-4 + (-1529169)/22)/90. Let x = -8493/11 - s. What is the common denominator of x and 4/3?
180
Let o = 98 + -87. Suppose 0 = 2*b - 5*p + p - 228, 114 = b - p. Suppose -112*u - 2 = -b*u. Calculate the lowest common multiple of u and o.
11
Suppose -138 + 36 = -5*b + 4*c, -2*c + 48 = 3*b. Let x be (b/3)/(-12) + (-355414)/(-40). Let a = 8881 - x. What is the common denominator of 71/20 and a?
20
Let c be (-5 - -7 - 0)/((-2)/6). What is the lowest common multiple of 236 and (-4)/c - 2475/(-297)?
2124
Let x = 119 - 114. Find the common denominator of -53/3 and 381/18 + 2*(-6 + x).
6
Let r be (-8)/24*-5 - (-1)/3. Suppose 18 = 4*k - 2*b, r*k - 6 = b - 3*b. Suppose k*y - 35 = 21. What is the least common multiple of y and 7?
14
Let b = 1083902/105 - 10323. Calculate the common denominator of -31/96 and b.
3360
Let x = -2285 - -2303. What is the least common multiple of 15 and x?
90
Suppose -4*c - 3*y - 7 - 6 = 0, -2*c - 17 = 5*y. What is the least common multiple of 32 and 25/5 - -36 - c*3?
352
Let k = -353480/49 + 7213. Find the common denominator of 43/14 and k.
98
Let o = -1581 - -2784. Find the common denominator of -5/96 and o/1440 + (-78)/(-585).
96
Suppose 5*u - 138 = -u. Suppose -19*o = -u*o + 132. Suppose -r - 3*w = 13, -4*r - 40 = 5*w + o. Find the common denominator of r and -11/2.
2
Let a be 0/(-2) - (-629074902)/(-17595). Let i = -35753 - a. What is the common denominator of -11/2 and i?
690
Let g = -15/424 + -25459/11448. Suppose 0 = -0*f + 4*f + 2*h + 56, -2*f + 4*h - 18 = 0. Find the common denominator of g and 4 - f/((-1911)/994).
189
Let y be 42502/20*1/((-5)/5). Let d = y - -2128. Let t = 39765/9004 + 2/6753. Calculate the common denominator of t and d.
60
Let w(v) = v**2 - 76*v + 1307. Let b(o) = -4*o**2 - 3*o - o**3 + 13 + 6*o**2 + 7*o**2 + 4*o. Calculate the least common multiple of w(55) and b(9).
1672
What is the lowest common multiple of (20/14)/(-9 - (-5679)/630) and 175?
700
Suppose 0 = 3*n - i - 2, 5*n + 0*i + 10 = -5*i. Let f(u) = -3*u + 6. Let j be f(n). Calculate the common denominator of 4/j*(-17)/7 and 70/27.
189
Suppose 4*r - 77 = -357. Let g be (-680)/r - (24/14 + -2). What is the common denominator of ((-202)/g)/(((-48)/15)/4) and -97/2?
4
Suppose -3*s = -3*f - 0*s - 340923, -f - 113617 = 5*s. Let u be f/(-75)*25/620. Let x = u - 617/10. Find the common denominator of x and -35/8.
248
Let m = -8121 + 487219/60. Let c = -5841/10 - -585. Calculate the common de