k + 15, -3*t = -k - 11. Suppose -u - 4 = -t*p, 2*u - 7 - 10 = -p. Let z = -31 - -43. What is the lowest common multiple of z and u?
12
Suppose 28947 + 5361 - 5403 = 41*j. What is the smallest common multiple of j and 1880?
5640
Let q = -28200771/460 - -61306. Find the common denominator of q and -59/55.
5060
Let s(r) = r**2 + 26*r - 35. Let o be s(-19). Calculate the common denominator of (-2)/10 - (-103)/40 and o/(-56) + 137/(-40).
40
Let k be (6/4)/((-2)/12). Find the common denominator of -2 + 11/k + 1 and 1682/(-667) - (-3 + -1 + 3).
207
Let b = -10/73 + -1221/146. Let l = -434 - -7373/17. Let z = -571/34 - l. Find the common denominator of b and z.
2
Suppose 153*v = 135*v + 4698. What is the lowest common multiple of 29 and v?
261
Suppose -9*f + 21*f = -11568. Calculate the common denominator of -1 + 66/78 + f/(-351) and 41/24.
216
Let j(q) be the second derivative of -q**3/3 + q**2/2 + 12*q. Let x(r) = -2*r**2 + 2*r - 3. Let w be x(1). Calculate the lowest common multiple of j(w) and 9.
63
Let d(h) = -3*h**2 + 19*h + 13. Let b be d(7). Let c be ((-412)/10)/(((-4)/(-20))/b). What is the common denominator of 8/12 + c/(-48) and 9/4?
8
Let u(a) = 11*a**2 - 2*a + 3. Let w be u(-9). Find the common denominator of -3/5 and 2/8 - (-60)/w.
95
Let r(m) = -38*m**3 + 5*m**2 + 3*m - 2. Let k be r(-5). Let q = k + -48633/10. Calculate the common denominator of 354/(-8)*3/(-36) and q.
80
Let q(b) = -b + 26. Suppose -4*n + 3*p - p = -66, -2*n = p - 39. What is the smallest common multiple of q(n) and 1*-4 - -1*(-42)/(-3)?
40
Suppose -63 = 2*c - 2*b - 211, -5*c + 430 = 5*b. What is the lowest common multiple of 280 and c?
560
Let z = -9156 - -3221. Let n = 207783/35 + z. Calculate the common denominator of n and 44/21.
105
Let j = -88 - 78. Let f = j - -175. Let d = -21 - -27. Calculate the least common multiple of d and f.
18
Let l be (-27)/90*5 + 45/(-6). Calculate the common denominator of -101/22 and (1/2)/(l - 129/(-15)).
44
Let q = 1893/2 + -41651/44. What is the common denominator of q and (-4)/(-12) + ((-1479)/(-68) - 18)?
132
Let d be (-3 - 3333/(-13)) + (7 - 10). Let f = -202343/806 + d. Calculate the common denominator of f and -59/6.
186
Suppose -43*a + 31*a = -23*a + 308. Calculate the lowest common multiple of 364 and a.
364
Let s be (-9)/4*5*(-12)/(-15). Calculate the common denominator of 19/64 and 3/s*-2 - 1/168.
448
Let n = 194223245011/17850 + -76166005/7. Let h = n - -12/425. Let m = -12570 - -301757/24. Calculate the common denominator of h and m.
120
Let m = 1015572605/22 + -46172416. Let s = 10029 + m. Let n = -24827/234 + 1328/13. Calculate the common denominator of n and s.
198
Suppose 0*l - 5 = -p - 3*l, -2*p + 2*l = 14. What is the common denominator of (-2)/p + 230/(-24) and (39/((-8190)/(-120)))/(15/(-133))?
60
Let k = 469470/29 + -16187. What is the common denominator of 64/145 and k?
145
Let j = -4 - -9. Suppose -4*l + 6*l = j*k - 528, 4*l = 5*k - 1056. Find the common denominator of 10/3 and (-3)/(-6) + 788/l.
33
Find the common denominator of -55/4 and (-14245)/2960 - (-9)/4.
16
Calculate the common denominator of (-146)/(-165) - (6/9 - 1) and -103/1240.
13640
Let o(g) = 83*g**3 + 4*g**2 - 3*g + 2. Let f be o(-6). Let i = f - -621679/35. Calculate the common denominator of i and 64/55.
385
Let g = 27 - 3. Let t = 163 - 169. Let q(w) = w**3 + 8*w**2 + 13*w + 10. What is the least common multiple of g and q(t)?
24
Let h be 10/30 + (-78)/(-9). What is the common denominator of 95/46 and (1/16*h)/((-69)/(-322))?
184
Let w = -1121/274 + 81/137. What is the common denominator of -79/842 and w?
842
Let w = -799 - -17587/22. Let o = w - -1/11. Calculate the common denominator of -37/2 and o.
2
Suppose -m - m + 82 = 0. Suppose -m*w = -45*w + 24. What is the lowest common multiple of w and 90?
90
Let y(j) = 17*j + 102. Let q be y(-6). Suppose 21*u - 45 - 81 = q. Calculate the least common multiple of u and 36.
36
Let i be ((-48)/(-30))/((-161)/(-40) - 4). Suppose 313*t + i = 315*t. What is the least common multiple of t and 20?
160
Let y be 3*(1234/(-6) + (-4)/1). Let j = 601 - 1253/2. Calculate the common denominator of j and 2/(-4) + y/(-68).
4
Let n(f) = f**3 - 6*f**2 + 4*f + 8. Let h be n(5). Suppose -h*b = 2*t - 36 - 1, 0 = -b + 4*t - 11. Calculate the least common multiple of 7 and b.
63
Let k = -4/819 + -38461/6552. Let i be (-13565)/20958*7/((-35)/10). Let q = 15/998 + i. What is the common denominator of q and k?
168
What is the least common multiple of 1475 and 35/(-6)*(9 + -31 + 16)?
10325
Let v(f) = f**2 - 5*f - f + f - 3*f + 5. Let c be v(7). What is the common denominator of c + 14/(-9) + 3 and 82/15?
45
Suppose -z = -403*y + 402*y + 53, 115 = 2*y + z. What is the smallest common multiple of 28 and y?
56
Let l be (1 - 68/18) + (-66)/297. Calculate the common denominator of 107/76 and (-11)/(440/105) - l.
152
Suppose 101*z - 87*z + 126 = 0. Calculate the smallest common multiple of (-7)/(-21) + (-51)/z and 21.
42
Let l(d) = -6*d + 49*d**2 - 13 + d - 48*d**2. Let u be l(7). What is the common denominator of 2 - ((-771)/(-198) - u) and -111/10?
330
Let v(b) = -9*b**2 - 14*b + 41. Let w(i) = 3*i**2 + 5*i - 14. Let h(g) = -4*v(g) - 11*w(g). Calculate the least common multiple of 28 and h(2).
28
Let x = -55/4 - -14. Calculate the common denominator of (-12)/(48/(-8))*(-124)/(-40) and x.
20
Let a(i) = -i**3 - 10*i**2 + 11*i + 3. Let r be a(-11). Suppose 4*g = -k - r*k + 80, g = 0. What is the least common multiple of k and 2?
20
Let o = 125856 + -28191803/224. Calculate the common denominator of -99/28 and o.
224
Let k(i) = 13*i - 157 + 4*i + 12. What is the least common multiple of k(11) and (21 - 0) + -1 + 2?
462
Let x = -14849/8 + 1860. Let u(p) = -p**2 + 6*p. Let v be u(6). Suppose i - 5 + 18 = v. Calculate the common denominator of i and x.
8
Let u = -8935 - -8967. Calculate the smallest common multiple of u and 636.
5088
Suppose 1349*o - 559510 = 1314*o. What is the lowest common multiple of 10 and o?
79930
Let n = 15 - 8. Let j(s) = 3*s**2 - 44*s - 4. Let f be 285/20 - (1 + 28/(-16)). Calculate the least common multiple of n and j(f).
77
Let g = -3316475/81 + 81887/2. Let z = 2/42685 + 2518371/939070. Find the common denominator of z and g.
1782
Let n = -2308341 - -3781062391/1638. Calculate the common denominator of 67/16 and n.
13104
Let x(n) = 2*n - 31. Let i be x(17). Suppose -5*m - 1 - 4 = -5*w, -i*w + 9 = -m. Calculate the smallest common multiple of (-98)/(-42) + 2/(-6) and w.
4
Suppose 5*r = 15 + 15. Suppose h - 2*h = -3*n + 14, 0 = -h - 3*n + 10. Calculate the lowest common multiple of r and (2/(-3) + 1)/(h/(-84)).
42
Let j(z) = 3*z**2 + 330*z - 1314. What is the least common multiple of j(4) and 180?
540
Let n(u) = 178*u**2 + 3*u. Let z be n(1). Suppose 5*i - j = 385, 9*i - 7*i + 5*j = z. Calculate the smallest common multiple of i and 6.
78
Let g = 39 - 39. Suppose g = 19*j - 16*j - 18. Suppose -5*v - j = -21. What is the smallest common multiple of v and 15?
15
Suppose -57093*i + 57087*i = -582. Calculate the smallest common multiple of i and 388.
388
Let w be 10 - (0/(-4) - -6). What is the common denominator of 55/2 and ((-1)/w)/(((-5535)/(-590))/(-9))?
246
Let z be (5 + -4)/(22/1804). Suppose 3*f - 5*f = 2*u - 18, 0 = 3*f + 5*u - 29. Suppose -f*h + z = 18. What is the lowest common multiple of 2 and h?
8
Let j = 45 - 53. Calculate the common denominator of (2/72)/(16/(-456)) and (-4)/(-14) - (6485/(-945) - j).
216
Let h(m) be the second derivative of 23*m**3/6 + 11*m**2/2 + m - 18. What is the least common multiple of 22 and h(7)?
1892
Let m = 32651/5988 + -18/499. Calculate the common denominator of (-3 - -1) + (-30)/(-56) and m.
84
Let q(p) = 21*p - 28. Let a be q(4). Suppose -8*f - 2275 = -3*f. Find the common denominator of 2 - 0 - f/a and -39/10.
40
Calculate the common denominator of ((-36)/(-102))/(22/44*(-81)/(-19)) and -41/18.
918
Let q = 355880 + -809626943/2275. Find the common denominator of q and 31/1400.
18200
Let c = -19745/7 - -4344397/1540. Find the common denominator of 73/110 and c.
220
Let b = -1143 - -3131. Suppose 0*a + a + b = -5*g, -g + 9992 = -5*a. Let d = -17957/9 - a. Find the common denominator of d and -47/3.
9
Let v = -16098 - -18058. Calculate the smallest common mul