*o + 4*n. What is the smallest common multiple of 1680 and o?
3360
Let k = -169 - -103. Let f be (16/(-24))/(-1*(-4)/k). Suppose -7*x - 24 = -f*x. Calculate the smallest common multiple of 24 and x.
24
Let a(q) = -10*q**2 + 71*q + 1. Suppose -m + 22 = 5*k, -33*k + 29*k + 12 = 0. Calculate the least common multiple of a(m) and 4.
8
Let j = -719 + 743. Calculate the lowest common multiple of 15 and j.
120
Let u be ((-5)/4)/(3*(-6)/13392). What is the common denominator of (u/20)/(16 - -2) and -83/6?
12
Calculate the common denominator of 57/148 and 665/224*24/10.
296
Let f = 446087 - 446043. Calculate the lowest common multiple of f and 26/6 + 1/(-3).
44
Suppose -4 = -3*y - 10, -5*p - 5*y = 20. Let i(q) = 3*q**2 + 7*q + 13. Calculate the lowest common multiple of 77 and i(p).
77
Let t(p) = -p**3 + 4*p**2 - 5. Let q be t(-2). Let n = 0 + 15. Suppose -q*y = -n*y - 224. What is the lowest common multiple of y and 14?
56
Find the common denominator of 219/(-3600) - (-525)/3500 and -97/22.
13200
Let w(k) = 5*k - 1. Let g be w(-3). What is the common denominator of ((-4)/g*-9)/(100/26) and 113/60?
600
Suppose -6 = 3*r, -3*f + 0*f - 2*r = 544. Find the common denominator of 8/(-5)*56/24 and 2/9 + 124/f + 5.
15
Let h = 102/343 - 24002/16121. Let d = -919/846 + h. Let u = d + 1. Calculate the common denominator of 121/20 and u.
180
Suppose -r - 3 = 2*r - 2*q, 0 = 3*r - q. Let t be (10/276)/r*(-82649)/(-210). Let c = t - 2/207. Find the common denominator of c and -113/60.
60
Suppose -349*i = -306*i - 688. Calculate the least common multiple of i and 788.
3152
Let d = 409791/40 - 10245. Find the common denominator of 138/(-16) - 1/(-2) and d.
40
Let m(d) = -d**3 - d**2 - 2*d + 15. Let v be m(3). Calculate the common denominator of -12/11 and (387/v)/((-42)/18).
77
Suppose 0 = 33*c - 7*c - 631 - 513. What is the lowest common multiple of c and 250?
5500
Let g(n) = 249*n**2 - 429*n - 2. Calculate the lowest common multiple of 32 and g(2).
544
Let k be 76/(-456) - (-2)/(366/23). Let a = k - -833/976. Calculate the common denominator of 87/100 and a.
400
Let l = -16028 + 16037. What is the lowest common multiple of l and 2364?
7092
Let a(p) = -p**3 - p**2 + p + 169. Let z be a(0). Calculate the common denominator of -4 - (-303)/66*1 and -4 - (-1 + z/(-22)).
22
Let k = 2/7597 + -995303/364656. Calculate the common denominator of 194/216 - 6/8 and k.
432
Let i = -41023 - -19771. Let c be (-12)/(-10)*29841/i. Let o = 58/55 + c. What is the common denominator of o and 34?
46
Let u(d) be the first derivative of 2*d**3/3 - 19*d**2/2 + 13*d + 23. Calculate the least common multiple of u(9) and 7.
28
Let u be 10826/20 + 1/5. Let j = u - 578. What is the common denominator of (-3)/18 - ((-47)/(-24) + -3) and j?
8
Suppose i + o - 48 = 0, 2*o = -4*i + 7*i - 129. Calculate the least common multiple of 36 and i.
180
Suppose 0 = 2*u + 3*p - 154, p = 2*u - p - 154. Let t(b) = b**3 + 12*b**2 + 21*b - 40. What is the least common multiple of u and t(-9)?
154
Suppose 0 = -f + 20. Suppose -7 = -l - 3. Suppose -60 = -l*w - 5*t + t, -2*w + 45 = -t. What is the lowest common multiple of w and f?
20
Let p(r) = -4*r - 28. Let n be p(-8). Suppose b = -w + 15, -n*b = -0*w - 2*w - 30. Calculate the lowest common multiple of b and 78.
390
Let y = -1115 + 3335/3. Let i = 333869/24 - 13915. Find the common denominator of i and y.
24
Suppose 2*n = 4*i + 688, -3*i - n = -4*n + 519. Let m = i - -216. What is the smallest common multiple of 30 and m?
90
Let u = -22434 - -1345937/60. What is the common denominator of u and 1344/168 - 163/6?
60
Let u be ((-23)/2)/((-1)/2). Suppose -z - u = -3. Let s = 53 + z. Calculate the lowest common multiple of 6 and s.
66
Let s = 40/31 + -1467/248. Calculate the common denominator of 22/20*(103 - 100) and s.
40
Suppose -93 = -6*q - 87. Calculate the lowest common multiple of (41 - -2 - q) + 0/43 and 63.
126
Let t = -13137 - -13182. What is the least common multiple of 318 and t?
4770
Let c = -29 - -49. Let l(u) = u**3 + 6*u**2 - u + 2. Let g(n) = 15*n + 88. Let j be g(-6). What is the lowest common multiple of l(j) and c?
20
Suppose -3*y = -0*y. Suppose k + 12 - 4 = y. Calculate the smallest common multiple of 48 and (8 - 4)/((-2)/k).
48
Let a = -1181153/40 - -29542. Let h = 71/8 - a. Calculate the common denominator of h and (-5)/90*299 + 9.
90
Let u(s) = 2*s**2 + 5*s - 2. Let h be u(-4). Suppose z = 4*k + 16 + h, 2*k - 50 = -3*z. Calculate the smallest common multiple of 14 and 24/9*z/4.
84
Let r = 1856212 + -1403297605/756. Let h = -67/28 - r. Find the common denominator of (-339)/54 + 3 - -4 and h.
54
Suppose 7*z - 6 = 9*z. Let d be 107 + (-15)/(-3) - (-1 - z). Suppose -g + 68 = g - 2*b, d = 3*g - b. Calculate the smallest common multiple of 16 and g.
304
Let h be 220636/16*8/(-12). Let l = h + 9214. Find the common denominator of 115/66 and l.
66
Let d(q) = -2*q**3 - 15*q**2 + 4*q - 40. Let z be d(-8). Calculate the least common multiple of 39 and (-218)/z - (-1)/(-4).
351
Suppose -4*t + 384 = -28*t. Calculate the common denominator of -36/11 and t/(-80) - (-217)/40.
88
Suppose 4*o + 876 = 4*d, 3*o - 128 = -d + 79. Calculate the smallest common multiple of d and 18.
216
Let v = 670771739/1560 - 429982. Find the common denominator of v and 68/585.
4680
Suppose 0 = -4*m - m - 4*a + 178, 4*m = a + 155. Suppose 0 = 4*b - 2*u - m, 15*b + u = 16*b - 10. What is the lowest common multiple of b and 1?
9
Let y(l) = 6*l - 65. Let a be y(-18). Let h = a + 245. What is the lowest common multiple of h and 4?
72
Let j = 3548 + 818. Let f = 87299/20 - j. Find the common denominator of f and -95/688.
3440
Let g = 11677/1504 + -478/47. What is the common denominator of 12/(-3) + 215*(-18)/1800 and g?
160
Suppose 0 = 5*b - 36608 + 6278. Let s = 95369662/15 + -6351907. Let h = b - s. Calculate the common denominator of h and -53/9.
45
Let u(c) = -81*c - 402. Calculate the lowest common multiple of 49 and u(-5).
147
Calculate the common denominator of 7/22 and (-982)/1752 + (3/(-5))/(42/(-35)).
9636
What is the smallest common multiple of 72 and (21558/20 - (-2)/(30/9))*2?
51768
Let i(c) = -2*c + 2. Let k be i(-2). Let d(z) = -66*z + 521. Let n be d(8). What is the lowest common multiple of (32/k)/(-2 + n/(-3)) and 36?
144
Let x = 130 + -127. Suppose -9*k = -8*k + x*q - 39, 2*q = 8. What is the least common multiple of 24 and k?
216
Let y = -240 + 235. What is the common denominator of ((-13)/(-308))/(6/(-360)*y) and -18/77?
77
Let b be ((-4)/11)/2 + 184/44. Suppose -n = -b, 3*c - 4*n - 4 = 10. Calculate the smallest common multiple of 416 and c.
2080
Calculate the common denominator of (-6 - -5) + 9876/2016 + (-3)/(-24) and 67/756.
756
Let l = -10096 - -605873/60. What is the common denominator of l and 5/1728?
8640
Let c = 2 + 0. Suppose 0 = 4*d - 3*d - 302. Suppose -5*a - d = -472. What is the smallest common multiple of c and a?
34
Suppose -7*f + 2*f + 24 + 61 = 0. Calculate the lowest common multiple of f and 156.
2652
Suppose -3*i = 3 + 9, 2*j + 2*i = 6. Suppose -j*s = -10*s - 24. What is the least common multiple of 1*(s/(-12))/1*3 and 6?
6
Suppose 40 = 372*y - 353*y - 36. Let z be 2*(-267)/(-2)*1. Suppose 6*c + 3*s - z = c, -220 = -4*c - y*s. What is the lowest common multiple of 6 and c?
102
Let w = -43429/952 + 774/17. What is the common denominator of w and -155/504?
504
Suppose 21 = 3*l, -1355 = -5*d + 17*l - 22*l. What is the smallest common multiple of 152 and d?
5016
Let s = -16238875/168 - -96661. What is the common denominator of s and (-234)/16 + -319*(-17)/493?
168
Let s(w) = -w**2 - 15*w + 19. Let r = 35 + -47. Let y(d) = 2*d**2 + 24*d - 16. Let f be y(r). What is the lowest common multiple of 10 and s(f)?
30
Suppose -19*a + 99 = -53. What is the least common multiple of 420/a*(42/35 - 0) and 36?
252
Suppose 2*t - t - 178 = 4*c, -3*t = c - 482. Calculate the lowest common multiple of 162 and t.
162
Let z(r) = 14*r**2 + 78*r + 526. Calculate the lowest common multiple of z(-12) and 22.
1606
Suppose -3*r = -1001*q + 998*q + 3531, 0 = -q + 3*r + 1179. What is the least common multiple of q and 840?
5880
Calculate the common denominator of (-4 - (-44)/28)/((-444)/(-126) - 4) and -29/2354.
11770
What is the common denominator of 1*9*(((-1320)/19)/10 +