n - 15. What is the smallest common multiple of w and 92?
828
Let i = -101/45675 + -1/1827. Let l = i - -71783/2900. Find the common denominator of 107/20 and l.
20
Let v = 822768144305340377414/243815 - 3374559171109205. Let z = -16/243815 - v. Let l = z + 5539. What is the common denominator of 79/8 and l?
88
Let a = -414/865 + 7904/38925. Find the common denominator of a and 41/975.
2925
Let o be (-4)/26 - 15/(-13). Let n be (147/35)/(o/5). Suppose 11 = -2*a + n. What is the least common multiple of 8 and a?
40
Let n be (3/(-1))/(7/(-7)). Suppose -n*m - 9 = -0*v - v, 3*v + 4*m = 66. What is the least common multiple of 66 and v?
198
Suppose 0 = 6*c - 1369 + 409. Find the common denominator of (11 + (-260)/24)*(-618)/c and -3/16.
160
Let h(x) = 7*x**3 + 6*x**2 + 5*x - 6. Let l be h(-3). Let f = l + 170. What is the smallest common multiple of 18 and f?
126
Let p(c) = -c + 19. Let d be p(13). Calculate the common denominator of -51/2 and (1 - 0)/((-14)/d + 2).
2
Let q(l) = 4*l - 29. Let h be (48/56)/(4/14). Suppose -5*x + h*s + 27 = 0, 4*x + 3*s - 30 = -3. What is the lowest common multiple of q(10) and x?
66
Let y = -121 - -127/2. Let j = -75 - y. Find the common denominator of j and -105/116.
116
Let h(a) = 68*a**2 - 11*a - 25. Let n be h(-3). What is the common denominator of (n/(-90))/((-10)/3) and 58/21?
105
Let h = -615 - -619. What is the least common multiple of 9 and 8 + (2 - h) + -4?
18
Let m = 1135/2 + -5168/9. Calculate the common denominator of m and 1/4886.
43974
What is the smallest common multiple of (302 - -8)*(-7 + (-15)/(-2)) and 65?
2015
Let g = 541 + -532. Let v(z) = 23*z + 2. Let w be v(-2). Let j = -30 - w. What is the least common multiple of j and g?
126
Let i be (2/(-2))/(1/(-30)*3). Let h(v) = 5*v**2 + i - 13*v - 15*v + 26*v + v**3. What is the lowest common multiple of 22 and h(-5)?
220
Let r(s) = -2*s**3 - 11*s**2 - 21*s - 54. What is the least common multiple of 324 and r(-6)?
324
Let p = 6523/60 + -437/4. What is the common denominator of ((-1)/(-8))/(9/618) and p?
60
Let b = -13 + 27. Suppose 5*u = -2*f + 524 - 4, -3*u - 4*f = -312. Suppose -39*a + 41*a = u. What is the lowest common multiple of a and b?
364
Suppose 49*f - 46*f + 97 = 4*r, -4*f = -5*r + 121. Suppose 52 = r*n - 73. Calculate the smallest common multiple of 5 and n.
5
Let g be (-97 - -92) + (0/2 - -3). What is the smallest common multiple of (-53 + 38)*g/5 - 3 and 24?
24
Suppose 48 + 7617 = -5*b + 5*u, 2*u = 6. Let t = b - -21407/14. Calculate the common denominator of t and -103/22.
154
Suppose 6*w = 295*w - 4022880. What is the smallest common multiple of w and 16?
13920
Let o = 29353723/208 + -141124. What is the common denominator of 7/208 and o?
208
Let r = 23 - 3. What is the common denominator of ((2304/r)/(-9))/(5 - 2) and (-25)/(-12)*(-2)/(-20)?
120
Suppose 4*n = 71 + 77. Suppose -7 = -p + n. What is the smallest common multiple of 20 and p?
220
Suppose 4*f + 2*g = 10072, 4*f - 6*g - 2995 - 7109 = 0. What is the lowest common multiple of f and 1470?
17640
Suppose 35*q = 42*q - 140. Suppose -4*y - 12 = 0, 4*v + 22 = 2*y - 16. Let m = v + q. What is the smallest common multiple of 27 and m?
27
Suppose -7*s + 3121 = 622. Suppose 22*t - s = 15*t. What is the least common multiple of t and 30?
510
Let w(l) = -12*l + 56*l**3 - 55*l**3 + 7 - 2*l**2 + 13. Calculate the smallest common multiple of w(4) and (-1)/(-4) - 38/(-8).
20
What is the lowest common multiple of 276 and 6/(-14) + (24 - (-420)/(-49))?
1380
Let o(p) be the second derivative of p**5/20 + 7*p**4/12 - 11*p**3/6 + 3*p**2 + 25*p. Let g be o(-8). Find the common denominator of 365/g - -1*3/(-12) and 1/8.
24
Let m = 62137/230 + -6446/23. Let h = 3509/5 + -699. What is the common denominator of h and m?
10
Let r(y) = -1614*y - 214. Calculate the lowest common multiple of 1000 and r(-1).
7000
Suppose 38 - 8 = 3*s. Let f(q) = 7*q - 56. Calculate the lowest common multiple of 238/28 + (-1)/(-2) and f(s).
126
Let r(a) = -a**3 + 5*a**2 + 17*a - 19. Let o be r(7). Suppose z - 393 = -3*z + t, o*t - 475 = -5*z. Calculate the smallest common multiple of z and 5.
485
Find the common denominator of -107/276 and (-693)/3312 - 4/64.
276
Let a = 78 + -74. Suppose a*j - 12*j + 1176 = 0. Suppose 5*b - j = -27. What is the lowest common multiple of b and 15?
120
Let y = -56766/11 + 49727599/9636. Calculate the common denominator of 62/3 and y.
876
Suppose -28*s = -33*s - 4600. Find the common denominator of 7/16 and 1*(-2)/(-8) - 989/s.
80
Let t = -25267/180 - -1307/9. Let c = 531/769 + -45593/73824. Calculate the common denominator of t and c.
480
Let j = 94721 + -18470534/195. Find the common denominator of -17/4 and j.
780
Calculate the common denominator of 260/(-12) + (3 - 4/(-2)) and -39/200.
600
Let u(d) = -d + 2 + 2*d - 2*d. Let k be 2 + (10 - 15) - -3. What is the least common multiple of u(k) and 14?
14
Let o = 9726 - 233225/24. Let c = 1237/6 - 207. Let n = o - c. What is the common denominator of n and 29/5?
40
Let k = 2717928032740035072441909/2722336 - 998380814396162422. Let l = -2900/85073 + k. Let d = l + -16109. Find the common denominator of -65/16 and d.
32
Let u = 853/2109 + 3/9842. Find the common denominator of (6/16)/(42/202) and u.
168
Suppose 4*z = 3*d + 2228, -2*z + 93 = -d - 649. Let x = d + 748. Calculate the lowest common multiple of x and (-7)/(-14)*2*1.
4
Let g(y) = 16*y**2 - 22*y - 24. Calculate the lowest common multiple of 596 and g(-1).
4172
Let u = -4849 - -5314. What is the smallest common multiple of 11 and u?
5115
Let s = -825/7 + 465/4. Let q = -33847/2940 - -803/147. Find the common denominator of s and q.
140
Suppose 5*v = -5*z + 805, 231*z - 508 = -3*v + 233*z. What is the smallest common multiple of 498 and v?
498
Let v = -266579/27 - -9872. Let x be ((-4)/24)/((-4)/(-239126)). Let w = x - -9975. Calculate the common denominator of v and w.
108
Let b(u) = -3*u**2 + 10*u - 3. Let n be b(3). Suppose n = 4*c + 4*s - 1 - 55, -5*c - 4*s + 68 = 0. Calculate the least common multiple of c and 12.
12
Let v = -256189/90 + 14193/5. Let d be 234771/300*30/(-4). Let b = d + 5872. Calculate the common denominator of v and b.
360
Let n = 194786/105 + -13933/15. Let h = n + -5599/6. Calculate the common denominator of h and 101*1/(-108)*2.
378
Let c(b) = -49*b**3 + 3*b**2 - 3*b + 1. Let u be c(2). Let p = -373 - u. Let k = -1 + 4. Calculate the smallest common multiple of k and p.
12
Let t = 22 + -14. What is the least common multiple of 3/5 + 304/(-40) + 39 and t?
32
Let o = 140/107 + 683/214. Let t = 0 + 12. Calculate the common denominator of o and (76/90)/(t/15).
18
Let l = -156602 - -76578410/489. What is the common denominator of l and -95/36?
5868
Let j(h) = -h**3 - 8*h**2 - 7*h + 3. Let i = 8369 - 8241. Calculate the lowest common multiple of j(-7) and i.
384
Suppose -203*b = -206*b - 72. Calculate the common denominator of b and -23/576.
576
Calculate the common denominator of (-1 - -8) + -3 + 0 + 26418/(-6590) and 43/11.
36245
Let o(v) = -v**2 + 5*v - 3. Let k be o(3). Suppose 78 = -18*d + 438. Calculate the least common multiple of d and 1*(-24)/((-12)/k).
60
Suppose -5*a - 62 = -3*b - 1, -3*b = -4*a - 62. Suppose j - 2*j = -15. Calculate the common denominator of j and 16/(b*((-13)/4 + 3)).
11
Let c be (-63736152)/810 + ((-2)/(-4) - 0). Let s = 78686 + c. What is the common denominator of -97/22 and s?
2970
Suppose -2*w - 2*w = 3*n - 189, 0 = 5*w + 3*n - 237. Let b = -9 + 15. What is the least common multiple of w and b?
48
Let r(h) = -14*h - 812. What is the lowest common multiple of 336 and r(-98)?
1680
Let y be ((-2)/6)/((-4)/456*1). Suppose -y = a + 80. Calculate the smallest common multiple of 21/42 - a/4 and 6.
30
Let t be 0 + -8770*(81/6)/(-9). Let y = t + -157763/12. Calculate the common denominator of 8/3 and y.
12
Let p be (-21)/7 - ((-131546)/(-28) - 0). Let n = -4693 - p. Calculate the common denominator of 87/386 and n.
2702
Let p = 251577 - 1429712095/5683. Let g = p - 846503/375078. Calculate the common denominator of g and 83/15.
330
Suppose 2*s - 6*m + 2 = -2*m, 4*m = 4*s - 8. Suppose -s*y = -20, -o = -5*y - 167 - 949. Calculate the smallest common multiple of (-2)/7 - o/(-56) and 14.
140
Let s be 3*(-76)/(-12) - 2 - -2. Suppose -3*v + 14