3724
What is the lowest common multiple of (5 - 6/1)/((-3)/(-115524)*-6) and 20?
64180
Let z be 1/5 - 108/(-60). Suppose -z*i - l + 40791 = 0, -2*i - 5*l - 61180 = -5*i. Let o = i + -407811/20. Find the common denominator of -33/10 and o.
20
Let z(g) = -19*g**3 + 2*g**2 + 3*g. What is the lowest common multiple of z(-1) and 6?
18
Let x be (-6)/30 - 1054184/330. Let l = x + 3195. Find the common denominator of -59/45 and l.
495
Let u = 4680 + -37415/8. Find the common denominator of -63/8 and u.
8
Let r = -166848 + 62401259/374. Calculate the common denominator of -95/2754 and r.
30294
Suppose 16 = -4*u, 4*u = 2*k + 2*u - 32. Suppose -g = -6*g - 3*i + 117, -9*g - 2*i + 180 = 0. Calculate the least common multiple of g and k.
36
Let t = 70 - 45. Suppose -19*a = -t*a + 54. Let l = -5 + a. Calculate the least common multiple of l and 8.
8
Suppose -5*y = -m + 4 + 7, 4*y = -m - 16. Let r = -54/2039 - 111443/26507. Find the common denominator of r and -2 + 3 + 7/y.
39
Suppose -2*n + 9*n = -28. Let t(l) = l**2 - l + 1. Let v be t(n). Suppose 3*z - 9 = 0, -5*d + 8*d + z - v = 0. What is the least common multiple of d and 6?
6
Let g be 14/(-798)*(1 + 1395/2). Let l = 8/19 + g. Find the common denominator of l and 10/51.
102
Let n be (-20770)/40*5/(15/(-6)). Let z = -1064 + n. Calculate the common denominator of z and -61/108.
108
Suppose 126*f - 5346 = 108*f. What is the lowest common multiple of 231 and f?
2079
What is the least common multiple of 324 and (2 + (-10 - -4))/(7 - (-5 + 14))?
324
Let t be 42/(-84) - (-1634)/4. Suppose -37*g + t = -33*g. Calculate the least common multiple of g and 15.
510
Let z = -173548178778343/9731422820 + 17/139020326. Let q = z - -17833. What is the common denominator of q and -53/18?
1260
Find the common denominator of 65/2163 and 4182/(-81576) + 2/(-4 + 26).
8652
Suppose 0*n - n + 43 = 5*d, 4*n = 4*d + 52. Suppose 124*w + 76 = 128*w. What is the smallest common multiple of ((-6)/(-9) + 0)*(w + 5) and n?
144
Suppose 67 = 5*d + 57. Suppose -d*n + 66 = 2*w, 5*n - 69 = -4*w + 97. What is the least common multiple of 20 and n?
340
Suppose 0 = -198196*j + 198214*j - 3690. What is the least common multiple of 570 and j?
23370
Let u be (-1 - 1)/((-1)/(-6)). Suppose -1 = 2*q + 2*q - 5. Calculate the smallest common multiple of 3 and (-9)/(q*4/u).
27
Let f(p) = -18*p + 6. Let j be f(-1). Find the common denominator of 3/j*(-49)/(-21) and 3/1 + (-364)/21.
24
Suppose 0 = x - 13 + 9. Suppose -43 - 61 = -x*o. What is the common denominator of -81/22 and (2*(-175)/(-10))/o?
286
Let v(i) = i**2 + 40*i - 412. What is the least common multiple of 1716 and v(10)?
3432
Let x = -6033 - -168955/28. Let r = 201131/24 + -8382. Find the common denominator of r and x.
168
Let a = 31 - 26. Suppose -15 + 5 = -a*k. Calculate the common denominator of -13/4 and (-737)/176 - (10/4 - k).
16
Find the common denominator of 36390/(-15552)*3 - (-8 - -1) and 85/216.
864
Find the common denominator of 1 + 170/117 - 2 and ((-8109)/198432)/((-1)/(-4)).
936
Let o = -4278 - -5014. What is the lowest common multiple of o and 920?
3680
Let o(u) = -u**2 - 18*u + 14. Let x be o(-19). Let j = -17 - x. Find the common denominator of 1 + 0 + 26/j and 35/16.
48
Let x(q) = -q**2 - 7*q - 3. Let z be x(-5). Calculate the common denominator of -8*(z/49 - (-12)/(-35)) and 37/32.
160
Let r = 58/59 + -1576/1003. Calculate the common denominator of r and 33/2.
34
What is the common denominator of -109/1920 and (-1343770)/53760 + 6 - -19?
26880
Let i be ((-3)/(-6))/(10/(-3580)). Let g = 187 + i. What is the smallest common multiple of 98 and g?
392
Let v(n) = -n**3 + 6*n**2 + 11*n - 4. Let m(i) = 94 - 94 + 2*i - 3*i. Let h(d) = 4*m(d) + v(d). What is the smallest common multiple of h(5) and 6?
168
Let i = -122 - -402. Let l = i + -276. What is the smallest common multiple of 134 and l?
268
Suppose 2*a + g - 600 = 1690, -2*a + 5*g + 2266 = 0. What is the least common multiple of a and 1270?
11430
Let n be ((-8)/(-12))/(9853*1). Let x = n + 1231609/236472. Calculate the common denominator of x and (53/(-2))/((-6)/(-4)).
24
Suppose 0 = -26*d + 25*d + 144. Suppose -12*c - d = -20*c. Let x = c + -7. What is the lowest common multiple of x and 3?
33
Suppose -7*f - 63 = -49. Find the common denominator of f/200*(-885)/(-12) and -28.
80
Suppose -75*j = 17*j - 736. Let t(r) = 2*r**2 - 6*r - 5. What is the least common multiple of j and t(7)?
408
Let p(u) = -185*u - 4336. What is the least common multiple of p(-24) and 1235?
9880
Let k = -649/2 - -49999/154. What is the common denominator of k and 5/3969?
43659
Suppose 11*t + 61*t = 0. Suppose 10 = 9*a - 10*a - 4*w, t = 4*a - w - 45. Calculate the least common multiple of a and (2/(-3) - 0)*-18.
60
Suppose -2*p + 11 = -p. Let q(h) = h**3 - 31*h**2 - 66*h + 13. Let u be -1*(-21)/(-7)*-11. What is the least common multiple of q(u) and p?
143
Let o be ((-12)/(-32))/3 - (-67116)/(-3744). Let a = 2/39 + o. Let r = -5261 - -57832/11. Find the common denominator of r and a.
44
Suppose -30 - 14 = -z. Let w = z - 36. Suppose x = -5*y + 2*x + 10, 0 = 4*y - x - 7. Calculate the lowest common multiple of w and y.
24
Suppose 2*q = -q + 6, 0 = -v + 2*q - 546. Let d = v + 544. Calculate the smallest common multiple of 422 and d.
422
Suppose 3*u + 56 = 5*m, -16*m + 18*m - 21 = u. What is the least common multiple of 616 and m?
616
Suppose 20 - 45 = -5*h. Suppose -3*z + 3*q = -12, -6 - 6 = -3*z + h*q. Calculate the lowest common multiple of 48 and z.
48
Find the common denominator of ((-966)/26703)/(4/(-30)) and 43/4.
516
Let v = 12 + -1. Let q(g) = 175*g - 178. Let o be q(4). Let a = o - 511. Calculate the smallest common multiple of v and a.
11
Suppose 0 = 7*i + 2 - 9. Let z be i/((-24)/54)*12. What is the common denominator of 420/z*(-3)/(-6) and -15/7?
63
Suppose -263 = 5*k - 3*m - 35, 0 = 3*k - m + 140. Let w = k - -53. Suppose -p = u - 4, -w*u - 3*p - 9 = -37. Calculate the lowest common multiple of u and 22.
88
Let y(x) = -x**2 - 93*x - 344. Let a be (-1 - 1)/((-1)/(-1)). Let i = a + 22. What is the smallest common multiple of i and y(-4)?
60
Calculate the common denominator of (-237)/9*93/(-27528) and 103/88.
9768
Let b(q) = 96*q - 19. Let l be b(-4). Calculate the common denominator of (5/(-30))/((-273)/l) and -67/20.
1260
Suppose 74*a - 79*a + 3*p + 1878 = 0, -1880 = -5*a + 5*p. What is the least common multiple of 24 and a?
3000
Let z = -71039/2 + 23655875/666. Find the common denominator of z and -56/33.
3663
Let t = 14354 - 229579/16. Let l be (20/(-10))/(2/(-14)). Find the common denominator of 35/l*(-202)/(-80) and t.
16
Suppose -51*y + 1612 = -47*y. What is the smallest common multiple of y and 5?
2015
Let c = -173/60 - -71/24. Find the common denominator of 2 - 56/9*-1 and c.
360
Calculate the common denominator of (0 - -3) + 3 + 3*150/(-108) and 59/308.
924
Let v = 6988 + -342437/49. Calculate the common denominator of -163/1764 and v.
1764
Let k be 2/6 + (-132)/(-9). Let x = -14 + k. What is the lowest common multiple of (18/21)/(3/21) - 5 and x?
1
What is the least common multiple of 7 and 27 + -19 + 5 + -8 + 881?
6202
Let y(k) = 6*k**2 + k + 6*k**2 + 2 + 2*k**2 + 4*k + 3*k**2. What is the smallest common multiple of (4 + 2)/((-6)/(-20)) and y(-1)?
140
Let r(i) = -i**3 + 3*i + 4. Let q be r(3). Calculate the smallest common multiple of 6 and q/(-3) - (-8)/48*-4.
12
Let u be 1/(-4) - (-13 - 45933704/(-3866208)). Let k = u + 2/5253. Find the common denominator of 54/5 and k.
115
Let x(i) = 4*i**3 - 589*i**2 - 444*i + 204. Calculate the least common multiple of 204 and x(148).
204
Suppose 4*z = 3*x + 1997, -14*x - 1 = -15*x. What is the smallest common multiple of z and 350?
3500
Suppose 266 = -5*k - 4*d, 5*k = d - 79 - 192. Let j be -2*(1 + (k - 0)/(-3)). Let y = -20 - j. Calculate the smallest common multiple of 6 and y.
18
Suppose 5*d = 4*d. Suppose m - 59 = -4*u, 2*u + u + m - 45 = d. Suppose -215*j + 6*j = 39*j - 5952. What is the smallest common multiple of u and j?
168
Let j be 5/(-2)*(-210612)/(-720)*3. Let v = j + 2206. Calculate the common denominator of v and 10/29.
232
Let w(x) = 10*x + 1. Let o be w(-1). Let k = 293771/54 + -5440. Calculate the common denominator of k and o - (-273)/28 - (-4)/(-6).
108
Let a = -4/10