st common multiple of n and v?
16
Let q(s) = s**2 - 8*s + 42. Suppose 4*n = 3*t - 19, -11*t + 6*t + 5*n + 30 = 0. What is the smallest common multiple of q(t) and 60?
540
Let n(a) = -7*a**2 + 216*a + 381. What is the least common multiple of n(30) and 66?
1122
Suppose -79*q + 293 = -102. Suppose -q*k + 15*k - 160 = 0. Let o = 8 - 5. What is the least common multiple of k and o?
48
Let s = 2364102168 - 501188666823/212. Let u = 4683 - s. Let o = u + 605/318. Find the common denominator of o and -43/100.
300
Let r be (-240)/(-18)*(-18)/(-15). Let i(g) be the third derivative of 5*g**4/24 - 10*g**3/3 - 172*g**2 - 2*g. What is the lowest common multiple of 6 and i(r)?
60
Let k = -11102/8313 + 6/2771. Calculate the common denominator of 3/(-22)*56/(-18) and k.
33
Let t = 2193 - 2191. Let x(y) = y**3 + 5*y**2 + 6. Let b = 6 - 11. Calculate the smallest common multiple of t and x(b).
6
Suppose 62*u - 26370 - 57219 = -20163. What is the lowest common multiple of u and 2?
2046
Let d(i) be the third derivative of 0 + 0*i + 6*i**2 + 1/6*i**4 - 13/3*i**3. What is the smallest common multiple of d(14) and 20?
60
Let z = 82045/11128 + 3/1391. What is the common denominator of z and -23/1101?
8808
Let r = -153755/18 + 8545. Calculate the common denominator of r and -1 + 10/148*-5.
666
Let n(v) = v**2 - 42*v + 45. Let u be n(43). Suppose -9*q + 20 = -u. What is the smallest common multiple of q and 40?
120
What is the lowest common multiple of 336/(-96)*(2/(-7) - (-72)/(-28)) and 8/(-6)*(-693)/6?
770
Let m = 2/638555 - 23627903/436771620. Find the common denominator of m and -85/912.
2736
Let o be (-2)/(-3)*-1*(-81 + -141). Let b = o + -133. What is the lowest common multiple of b and 18?
90
Let q = -6851 - -82309/12. Let b be ((-44)/5)/((-1)/10). What is the common denominator of q and (-6)/(-15)*33/b?
60
Let t = 426/989 - 603469/1582400. What is the common denominator of t and -83/2200?
17600
Let z(s) = 14*s**3 - 5*s**2 + s + 2. Let j(k) = -k**3 - 2*k**2 + 1. Let q(w) = 3*j(w) - z(w). Calculate the least common multiple of 64 and q(-1).
576
Let s = -61564 + 4925187/80. What is the common denominator of s and 73/1760?
1760
Let x = -173 - -207. Calculate the lowest common multiple of x and (0 + 3)*(-4)/(-12).
34
Let v be ((-10372)/(-60) - 2) + 22/165. Suppose -s - 4*c - 9 + v = 0, 3*c = s - 155. Let i(n) = n**2. Calculate the lowest common multiple of s and i(-4).
1264
Let k(m) be the first derivative of -4 - 5/2*m**2 - 33*m. Calculate the lowest common multiple of 4 and k(-9).
12
Let z be 30/((-7)/(-21)*3). Suppose 0 = s + 5, 9 - z = -4*j + s. Suppose 552 = 7*v - 2*v - 2*x, -2*x + 232 = 2*v. What is the lowest common multiple of v and j?
112
Suppose 4*p - 5*n - 588 = 0, p + 3*n + 97 = 261. Calculate the least common multiple of p and 6.
456
Suppose 4416 = 10*v + 25*v - 11*v. Calculate the smallest common multiple of 36 and v.
1656
Let d(l) = -7*l**3 + 3*l**2 + 12*l - 3. Suppose 4*g = 8*g + 24. Let k be d(g). Calculate the common denominator of k*(-4)/(-2352)*(-2)/(-5) and -101/10.
490
Let j = -3/139 + 2381/834. Let d be -2 - ((-5)/(-15) + (-1211)/(-57)). Let l = -8762/399 - d. What is the common denominator of j and l?
42
Let d be (4/(-12))/((-3)/27). Suppose 0 = -k - d*k + 16. Suppose k = 2*s, -3*s + s - 2 = -h. Calculate the smallest common multiple of 4 and h.
12
Let n = 3333 + -2263. Calculate the common denominator of ((-2)/24)/(5*3/n) and 1/(-8)*106/4.
144
Suppose 3*f - 17 = 4. Suppose 0 = -0*j + 7*j + f. Let q = j - -15. Calculate the smallest common multiple of 10 and q.
70
Suppose 0 = -5*m + m, -5*a + 3*m = -10. Suppose -a*x + 40 = -x. Calculate the lowest common multiple of x and 44.
440
Let j(p) = 8*p - 31. Let w be j(5). Calculate the smallest common multiple of 245/w + (430/90 - 5) and 33.
297
Suppose -2*s + 6*c = 7*c - 18, -5*s + 3*c = -45. Suppose -34 = -w - 32. What is the least common multiple of w and s?
18
Let x be ((-3)/(-2) + 2 + -3)*4. Let f be 0 - 1/(-3 + x). What is the least common multiple of f + 3/9*(12 + -3) and 20?
20
Suppose 3*k + 61*j = 57*j + 105, 0 = 2*k + j - 70. What is the smallest common multiple of k and 145?
1015
What is the common denominator of 6*2 + 45960/(-2880) and -131/72?
72
Suppose -3*s + 49 - 1 = 0. Suppose b - s*b = -165. Suppose b*i - 8*i = 117. Calculate the least common multiple of i and 9.
117
Let a = 4174984/3 - 1408453. Let c = a + 1813415/108. Find the common denominator of 51/7 and c.
756
Suppose 32 = -9*x + 17*x. Suppose 0 = -x*w - 3*v + 22, 4*v + 10 = -v. What is the smallest common multiple of w and 77?
77
Let z = -1573 + -309. Let i be z/(-3)*(-21 + 0). Let x = i - -368915/28. What is the common denominator of x and -75/8?
56
Let n = 115 + -151. Calculate the common denominator of -4 + 291/n + (-1)/4 and 73/36.
36
Let k be (-3466170)/(-396) - (-17 - 1)/(-3). Let w = -8745 + k. Let b = 73051/12 + -6098. Calculate the common denominator of w and b.
132
What is the lowest common multiple of 54/(918/(-119)) + (-3)/((-6)/482) and 468?
468
Let d = 7714 + -5257. Suppose 16*m + 23*m - d = 0. What is the least common multiple of m and 18?
126
Suppose 4*i + 2008 = 4*d, 5*i - 6*i - 502 = 4*d. Let m = -469 - i. What is the smallest common multiple of 6 and m?
66
Calculate the common denominator of (-33975)/90*(-1)/(-45) and (-12)/10 - (-1)/(-3).
90
Suppose 0 = 11*u - 9*u - 3558. Let w = -425703/209 + 4844/19. Let h = w + u. Calculate the common denominator of 18/7 and h.
77
Let i = 11/936 + 4733/468. What is the common denominator of 154/64 + (-2)/8 and i?
32
Let v = 13 - 41. Let r be (v/(-8) - 4)*2. Calculate the smallest common multiple of r + 0 - 18/(-6) and 4.
4
Suppose d + 43 = -7. Let a = -50 - d. Suppose -2*r + 10*r - 48 = a. What is the lowest common multiple of r and 1?
6
Let g = -56326 + 8167218/145. Let o = -5518/105 - -158/3. What is the common denominator of o and g?
1015
Calculate the common denominator of -17/9767 and (68/20 + 9)*(-7)/((-112)/(-12)).
97670
Let j = 4295218/15 + -288965. Let m = j - -2622. What is the common denominator of 139/6 and m?
30
Let p = 351225/88 - 3992. What is the common denominator of 1 + (-33)/(-64) - (-42 - -44) and p?
704
Suppose -198*f = -202*f + 16. Calculate the common denominator of (-2)/(f/(-3))*(-511)/(-63) and 18/143.
858
Let q(o) = o**2 - 15*o + 48. Let v be 3060/(-108)*3/(-5). What is the smallest common multiple of q(v) and 8?
328
Find the common denominator of ((-81)/(-398952))/(((-1)/76)/1) and 14/9.
33246
What is the common denominator of 52/15 - 0/1 and (-5 - -3) + ((-3)/6 - (-880)/(-288))?
45
Let w = 10263/5 - 2059. Let f be (12714/(-36))/((-10)/4). Let i = f - 682/5. Calculate the common denominator of w and i.
15
Let i = 441 - 405. Calculate the least common multiple of i and 48.
144
Suppose -3*s + 0*d = 5*d - 3171, 6*d - 1044 = -s. What is the smallest common multiple of 590 and s?
5310
Calculate the common denominator of 1270/(-4)*(474/6873 - 151/2610) and (-4)/(-10)*530/84.
252
Let d be (9/(-6) - 0)*130/(-39). Suppose -d*x + x + 5 = -g, -51 = -5*g + x. What is the common denominator of -39/20 and (-8*(4 - 2))/g?
220
Calculate the lowest common multiple of 22 and 2/((48/30)/8)*(-230)/(-25).
1012
Let m = -42/131 - 6073/262. Calculate the common denominator of -52/45 and m.
90
Let s(x) = -5*x + 40. Let j be s(7). Suppose 5*m - 5 = j, 5*g + 697 = -4*m. Find the common denominator of 85/22 and 1 - -1 - g*(-1)/26.
286
Suppose -20 = -4*u, -9*p = -13*p + u + 4459. What is the smallest common multiple of p and 18?
1116
Let t be (38/(-38))/(-2 - (-1090)/546). Calculate the lowest common multiple of t/(-42)*(-8)/(-1 + 2) and 8.
104
What is the lowest common multiple of (-124 - 28/(-7))/(49/(-46) + 1) and 200?
9200
What is the least common multiple of 1 and -37*(-34)/51*117/2?
1443
Calculate the least common multiple of 10 and (-462)/66 + (-4)/((-8)/8574).
4280
Let a = 8802 + -6839156/777. Let c = -227/12432 + a. Calculate the common denominator of c and 34/3.
48
What is the smallest common multiple of 9 and 54/(-126) + -2133*-10*4/42?
6093
Find the common denominator of 137/240 + (-30 - -29) and 25/56.
1680
Suppose 13 = 31*b - 30*b. Let w = 20 - b. Suppose -w*v = -9*v + 18. Calculate the least common multiple of 11 and v.
99
Let r be (1/(-30))/(5 + (-