 Calculate the common denominator of v and 2/21.
189
Suppose 2*c + 856 = 4*q, -2*q + 10 = 2*c - 412. Calculate the common denominator of (55/25 - 2) + q/10 and -2 - (50/6 - 2).
6
Calculate the least common multiple of 196 and (56/20)/(-6 + (-1092)/(-180)).
588
Let i(n) = n**3 - 10*n**2 + 17*n + 18. What is the smallest common multiple of i(8) and 65?
130
Let p(c) = 2*c - 8. Let y be p(7). Let a = 3217/20 + -161. What is the common denominator of 29/18 + y/3 and a?
180
Suppose 0 = -8*h + 11*h - 5916. Let l = 15807/8 - h. Let z = 91877/14 - 6569. Calculate the common denominator of l and z.
56
Suppose 27*w = 22*w + 300. Suppose 6*k - 11*k = -w. What is the least common multiple of k and 21?
84
Let x(o) = o**2 - 6. Suppose 6*w - 2*s - 17 = w, 2*w + 3*s = 3. Calculate the lowest common multiple of 3 and x(w).
3
Let f(p) = p**3 - 8*p**2 - 26*p - 5. What is the lowest common multiple of f(11) and 117?
936
Let u = -5785/8 + 712. Find the common denominator of -37/852 and u.
1704
Let l = 91807/18 + -5102. Find the common denominator of 29/150 and l.
450
Let u = 18 - 17. Suppose -u = -5*d + 4*d + 3*z, -3*z + 29 = 2*d. What is the smallest common multiple of 9 and d?
90
Let y be -4 + 6 - 27102/16. Let c = -1688 - y. Calculate the common denominator of c and 61/12.
24
Let l = -12/41 - -329/984. Calculate the common denominator of l and -101/36.
72
Calculate the smallest common multiple of 10/(-12) + (-16)/((-1248)/15353) and 56.
392
Suppose -2*b + 67 = -75. Suppose -3*l - 2 + b = 0. Calculate the least common multiple of l and 6.
138
What is the common denominator of 47/88 and (-284)/(-16)*(1 + (-95)/99)?
792
Calculate the common denominator of (-18)/12*1*141/(-105) and 37/63.
630
Let q(j) = -4*j - 44. Calculate the smallest common multiple of q(-12) and 22.
44
Let v = 90 - 51. Let a = v + -29. Suppose 1 = -3*p - 2*c + 17, -2*p - 5*c = 4. Calculate the smallest common multiple of p and a.
40
Suppose -18*s = 30*s - 288. What is the lowest common multiple of 11 and s?
66
Let o = -224/99 - 50/33. Calculate the common denominator of 18/(-8) + 2 - 115/(-44) and o.
99
Let i be 4/8*(1 + -1). Let l = i - -16. What is the smallest common multiple of l and 18?
144
Suppose -47*j + 44*j + 105 = 0. Calculate the least common multiple of j and 330.
2310
Let x = -1854697/4080 + 7725/17. Calculate the common denominator of x and -1/2.
240
What is the least common multiple of -6 + 3 + (12 - -6) and 66?
330
Let n(g) = g**3 - 10*g**2 - g + 23. Let f be n(11). Calculate the common denominator of (-24)/(-36) - f/(-6) and -19/4.
12
Let q = -51811/2880 + 814/45. Calculate the common denominator of q and -109/72.
576
Let k(h) = -h**3 + 10*h**2 + 10*h + 16. Let g = 53 - 38. Let n = g + -4. What is the lowest common multiple of k(n) and 1?
5
Suppose 196 = 17*k - 42. Calculate the least common multiple of k and 514.
3598
Let i(u) = 16*u - 130. What is the least common multiple of 72 and i(10)?
360
Let p = 5 - 1. Suppose -p*r = 3*x + 17999, x - r + 6001 = -3*r. Let g = x + 119999/20. Find the common denominator of g and 13/12.
60
Calculate the least common multiple of 104/(-3)*(-249)/166 and 38.
988
What is the smallest common multiple of ((-10)/70*-7)/(1/4) and 4?
4
Let f be 16/(-12)*3 - -81. Suppose -3*j = 2*q - 218, -j - 3*q + f = 2*q. Find the common denominator of 23 and 0 + 2*(-4)/j.
9
Let h = 2 + -7. Let j = h - -13. Let v(b) = -b**3 + 8*b**2 + 2*b - 10. Calculate the smallest common multiple of 8 and v(j).
24
Let x(i) = -i**2 + 7*i - 5. Let l be x(5). Suppose l*s = -2*m - 2 + 33, -4*m + 76 = -4*s. Calculate the lowest common multiple of m and 5.
90
Let y = 483 - 842. Let a = 1088/3 + y. Find the common denominator of a and 244/(-12) + (-14)/7.
3
Let i(z) = -z**3 - 11*z**2 - 10*z + 9. Let n be i(-10). What is the smallest common multiple of ((-27)/12)/(n/(-24)) and 39?
78
Let d = -263 - -439. Calculate the smallest common multiple of d and 32.
352
Suppose -3*m - d - 14 = -6*d, 6 = m + d. What is the least common multiple of m and 28?
28
Find the common denominator of -53/36 and (((-14008)/(-320))/(-17))/(21/(-12)).
1260
Suppose -3*d - 32320 = d. Let q = -145577/18 - d. Calculate the common denominator of q and -7/18.
18
Suppose -3*r = -0*r - 33. Let s = -232 - -234. What is the smallest common multiple of r and s?
22
Find the common denominator of -5*2/8 + 132/(-40) and -91/92.
460
Let k = 1407829/394710 + -1/13157. What is the common denominator of 109/12 and k?
60
Let a be 21/42 - 10/4. What is the smallest common multiple of 6 + -4 + 4 + (a - -3) and 19?
133
Let p(d) = 5*d**3 - 2*d**2 + 2*d - 1. Let b be p(1). Suppose 2*k - b*k + 14 = 0. What is the smallest common multiple of 4 and k?
28
What is the common denominator of -61/82 and ((-2)/(-21))/(2/30)?
574
Let d = -23 - -27. Suppose -4*u - 68 = -d*t, 67 = 5*t + 4*u - 63. What is the common denominator of -99/2 and t?
2
Let i = -1132429 + 9074301/8. Let g = i + -1847. Let x = 170 + -496/3. Find the common denominator of g and x.
24
Find the common denominator of 7/83 and (-7 - (-570)/80)/(1/71).
664
Let r(l) = 18*l**2 + 20*l - 65. Calculate the smallest common multiple of 2 and r(6).
1406
Let m = 1261851/62 + -20353. Calculate the common denominator of 79/434 and m.
434
Let o(s) be the third derivative of s**5/30 - s**4/8 - s**3/6 + 35*s**2. What is the lowest common multiple of 36 and o(3)?
72
Let l be ((-33)/3210)/((-4)/5630). Let j = 30/107 + l. Calculate the common denominator of (94/(-12))/((-20)/(-6)) and j.
20
Suppose 4*u - 45 = -5. Suppose 0 = 9*p - p - 16. Suppose 4 + 6 = p*y. What is the lowest common multiple of u and y?
10
Let x be (14 - 5)*4/6. Let u be 3/x*(-36 - 0). Calculate the common denominator of ((-426)/u)/(32/(-6)) and 75/22.
176
Let t(k) = -61*k - 12. Let a be t(-8). Suppose 5*w - w - a = 0. Suppose -w = -5*s - 19. What is the lowest common multiple of s and 4?
20
Let d be (-2)/(-3) - 4231/(-3372). Let g be 0 + (-2)/(-9) + 3850/(-17703). Let q = d - g. Find the common denominator of -109/12 and q.
12
Let p = -125383/18 - -6959. Calculate the common denominator of p and 87/8.
72
Let c = -38 + 18. Find the common denominator of 22/5 and (-3)/165 + (-4)/c.
55
Suppose -29*c + 25*c = 0. Suppose c = x + 5*r - 28 - 0, 20 = 4*r. Calculate the lowest common multiple of 1 and x.
3
Suppose 0 = -q - 2*u + 6, 2*u - 4 = -3*q + 3*u. Suppose 3*y + q*o - 20 = 0, -4 = 2*y - 4*o + o. Calculate the smallest common multiple of 70 and y.
140
Let p be 20/(-40) - 214/(-332). Let d = -7909/166 + p. Find the common denominator of d and -111/22.
22
Let y = -2 - -10. Suppose v - 5*l = -48, -3*l + 7 = -y. Let u = -13 - v. Calculate the least common multiple of 20 and u.
20
What is the smallest common multiple of 39 and ((-7)/(105/36))/((-32)/240)?
234
Let r = 366/19 + -11621/551. What is the common denominator of r and -41/10?
290
Suppose 0 = 5*m + 5 + 25. Let b = 5 - m. What is the lowest common multiple of (-2)/4*(0 + -36) and b?
198
Let c be 9/36 + (-67)/(-4). Let g = -12 + 11. Let n = c - g. Calculate the least common multiple of 20 and n.
180
Let l be (-446)/(-18) + 3*8/108. Find the common denominator of -48/5 and ((l/6)/1)/((-8)/32).
15
Calculate the common denominator of -7/20 and ((-166)/(-8))/(-16 - 901/34).
340
Let f(s) = -6*s + 6. Let t be f(1). Suppose -4*i - 7*b + 5*b + 100 = t, 4*b - 8 = 0. What is the lowest common multiple of i and 33?
264
Let a = -4279/63 - -421/7. Find the common denominator of -119/432 and a.
432
Let y be (-12444)/7 + 4/(-14). Let k = y - -412499/232. Let z = k - 5861/232. Find the common denominator of 5/2 and z.
4
Suppose -18*w + 15*w = -13386. Let d be 1*(1 - w - -2). Let l = d - -62343/14. What is the common denominator of l and 101/24?
168
Let k(y) = 2*y - 8. Let w be k(0). What is the smallest common multiple of 6*(-5)/(w - -3) and 6?
6
Let r = -5483497/96 + 57119. What is the common denominator of -25/22 and r?
1056
Suppose -5*l + 2*v = -86, 6*l = l - 4*v + 68. Calculate the lowest common multiple of l and 78/4 + (-102)/68.
144
Let q(a) = -a**3 + 9*a**2 + 9. Let p = -11 + 20. Suppose 8*o - 73 + 1 = 0. What is the lowest common multiple of o and q(p)?
9
Suppose 3*u = -u + 8. Suppose -3*b - 46 = -4*b. Suppose b + 14 = 5*p. Calculate the lowest common multiple of u and p.
12
Let g =