and (-2)/3 - (-131)/(-42).
14
Let m = 35621/54901 - 233/322. Calculate the common denominator of m and -149/6.
2046
Let a = -5633/10 + 566. Let z = -15733 - -1619. Let s = z - -253963/18. Calculate the common denominator of s and a.
90
Calculate the common denominator of 91/6 and 246*5/(-1300) - (-4)/(-26).
30
Suppose 20*n - 81 = 16*n + 5*k, 5*n + 3*k - 92 = 0. What is the least common multiple of n and 33?
627
Let y(q) = -2*q**2 - 4*q + 6. Let g be y(-3). Suppose 0 = 5*s - 3*v - 84, g = 4*s + v + v - 76. Calculate the least common multiple of s and 4.
36
Let x be 1671/(2 + -1) - -1. Let u = x + -16683/10. What is the common denominator of (1645/(-350))/(4/(-5)) and u?
40
Calculate the least common multiple of (14 - 13) + (-1 + 8 - -4) and 40.
120
Let p(z) = -z**3 + 8*z**2 - 2*z + 7. Let w be 9 + (-6)/(-9)*-3. Let h be p(w). Suppose 0 = 2*j + j - h. What is the smallest common multiple of j and 4?
28
Let j = -108897 - -40291797/370. What is the common denominator of j and -109/6?
1110
Suppose -5*q + 2*q + 102 = 0. Suppose i - v = 7, i + 2*v - 21 = -11. Calculate the lowest common multiple of q and i.
136
Let w(x) = -x**2 - 18*x + 33. Calculate the least common multiple of 8 and w(-19).
56
Let y(c) = c**2 - 16*c - 42. Calculate the least common multiple of y(23) and 68.
476
Let q = -48028 + 14648527/305. Let i = 20941/2440 - q. What is the common denominator of i and -59/5?
40
Let v(r) = -32*r**2 + 3*r - 1. Let t be v(1). Let a be (-4)/t - 4/30. Let d = 4 - a. Calculate the lowest common multiple of d and 3.
12
Suppose 8*y = 5*l + 4*y - 1, 2*y = -2*l - 14. Let p be -1224 - (l + 21/9). Let c = p + 1200. What is the common denominator of 46/5 and c?
15
Let j(b) = b**2 - 15*b + 32. Let w be 3/((6/(-2))/(-39)*3). What is the smallest common multiple of 1 and j(w)?
6
Let v = 8781 - 52561/6. Let n be (-22719)/12 - (-9)/36. Let z = n - -15111/8. Find the common denominator of z and v.
24
Let p(d) = -8*d + 1. Let h(v) = -v**3 + 18*v**2 - 45*v + 4. What is the least common multiple of h(15) and p(-1)?
36
Let l = -19794674/11 - -1795376. Let x = -4144 - l. Let n = -173/8 + 839/24. Find the common denominator of x and n.
33
Let f(b) = -28*b + 36. What is the smallest common multiple of 56 and f(1)?
56
Suppose 3*x - 5*a + 10 = 5*x, -3*a = 5*x - 44. What is the least common multiple of 75/x*5/((-5)/(-2)) and 27?
135
Let l(j) = -j**3 - 7*j**2 + 8*j + 2. Let o be l(-8). What is the smallest common multiple of ((-6)/5 + o)*10 and 14?
56
Let p(x) = -x**2 + 11*x - 4. Let a = -72 + 81. Calculate the least common multiple of 2 and p(a).
14
Let r = 42966295 + -299969101/7. Let x = r - 113324. Let c = x - 17709/70. Find the common denominator of -49/8 and c.
40
Suppose 0 = p - 5*p + 24. Let f(j) = -j**3 - 40*j**2 - 79*j - 105. What is the smallest common multiple of p and f(-38)?
18
What is the smallest common multiple of ((-154)/539)/((-2)/35) and 4?
20
Let d(l) = l**2 - 3*l. Suppose 0 = -24*f + 659 + 109. What is the least common multiple of d(4) and f?
32
Find the common denominator of (3/(-48))/((-1)/(-7)*-2) and -109/40.
160
Let z = -2606 - -31219/12. What is the common denominator of z and 2/(-10) - 241/(-80)?
48
Let v(c) = 2*c + 9. Let g be v(-6). Suppose 4*t = 5*t + 1. What is the least common multiple of t*(g - (-3 - -4)) and 4?
4
Let h(n) = n**2 + 54*n + 119. Calculate the smallest common multiple of h(-52) and 147.
735
Let r = 7522 + -90197/12. Calculate the common denominator of (0 - 2)*146/8 and r.
12
Let f be 46659/(-3500) - (-2)/(-14). Let m = f + 28/125. Find the common denominator of m and ((-4)/(-70))/((-20)/225).
28
Suppose 0 = 3*a + 3*q, -4*q + 4 = 2*a - 3*q. Let t(f) = f**3 + 11*f**2 - 14*f - 16. Calculate the lowest common multiple of t(-12) and a.
8
Let j(z) = -2*z. Let g be j(-8). Let o = -482/5 + 1623/20. What is the common denominator of o and ((-210)/24)/(6/g)?
12
Calculate the lowest common multiple of 46 and 69*(-7)/(-24) + 2/(-16).
460
Let a = -44 - -50. Suppose -j + 4*g = -12, -3*j - g = 2*g - 6. What is the lowest common multiple of (-26)/(-3) - a/9 and j?
8
What is the smallest common multiple of 100 and ((-1000)/70)/(-2*1/14)?
100
Let x(m) = -63225*m - 1. Let j be x(-1). Let t = j - 2655797/42. Let c = -83/6 - t. Find the common denominator of c and -49/6.
42
Let o(b) = -595*b - 169*b + 141*b - 2 + 4. Let y be o(1). Let x = 1790/3 + y. Calculate the common denominator of 38/7 and x.
21
Let t = 924478309/123180 - 536/30795. Let y = t + -7516. Find the common denominator of 81/10 and y.
60
Let v = -1190 + 1193. Calculate the smallest common multiple of v and 71.
213
Let u = -175 - -179. Calculate the lowest common multiple of u and 7.
28
What is the common denominator of 27/322 and ((-5852)/294 + 20)/(32/(-18))?
1288
Find the common denominator of ((-21)/(-54))/((-340)/(-714)) and -25/4.
60
Let s = 5 + -3. Let w be 6/36*-1 + 82/(-12). Find the common denominator of w*s*85/60 and -75/8.
24
Let q(p) = 13*p + 25. Let b be q(-4). What is the common denominator of 66/35 and (b/(-7))/(9/(-18))?
35
Let i(l) = l - 7. Let t(n) = -10*n**3 + n. Let r be t(-1). Let k be i(r). Suppose c - 3 + k = 0. Calculate the smallest common multiple of 11 and c.
11
Let x = 46 + -40. What is the least common multiple of 9/x - 2 - 102/(-12) and 8?
8
Let d = -111087185/18 + 6169284. Let v = d + 2227. Let z = -9/94 + -2389/329. Calculate the common denominator of z and v.
126
Let l = 50 + -32. Suppose 0 = -5*t + 4*t + l. Calculate the lowest common multiple of t and -30*(-6)/(-9)*-1.
180
Calculate the least common multiple of (1 + (-11)/(-2) + -4)*12 and 51.
510
Let y = 989 - -311. Suppose -3*w - 4*p - p = -y, 1772 = 4*w - 3*p. Calculate the least common multiple of w/16*(-4)/(-5) and 18.
198
Suppose 32 = 8*c - 32. Suppose c + 34 = 7*q. Calculate the least common multiple of q and -14*(3/(-2))/3.
42
Suppose 3*f - 11743 = 2501. Let p = -218399/46 + f. What is the common denominator of 3/10 and p?
230
Let z = 13 - 8. Let s be ((-10)/4)/(-5 + 30/8). Let f = 0 + s. Calculate the least common multiple of z and f.
10
Suppose -g - 115 = h, -5*g - 4*h + 0*h - 576 = 0. Let c = g - -72. Calculate the smallest common multiple of 8 and 11/c*(-1 - 43).
88
Let t(f) = f**3 - 15*f**2 + 36*f. Let q be t(12). Suppose q = -l + 1 + 3. Suppose 5*x - 4 - 1 = 0. What is the smallest common multiple of x and l?
4
Let v(x) = 21*x**2 - 1. Let n be 10/2*(3 + -2). Suppose 20 = 2*h - n*t, -2*t = t - 12. Calculate the least common multiple of h and v(1).
20
Let w be -2 + (-3838)/(-432) - 52/13. Let r = w - 196/27. What is the common denominator of -111/98 and r?
392
Let r = 10 - 6. Suppose v - r*v + 27 = 0. Suppose 30 = 3*q + 4*m, -21 = -3*q + 3*m + v. Calculate the least common multiple of q and 8.
40
Let u = 714/13 + -19928/351. Let f be 6/(648/2351) + -9. Let t = u + f. Find the common denominator of t and 7/16.
48
Suppose -5*n + 23 = -x, 3*n - 3 - 8 = 2*x. Calculate the least common multiple of 1956/39 + x/(-13) and 20.
100
Let c be ((-20)/(-583880))/((-1)/(-2)). Let k = c - 1853831/175164. Find the common denominator of 59/10 and k.
60
Let d = -2992 - -26975/9. What is the common denominator of (-916)/144 + 4 + 1/4 and d?
9
Let i(u) = -u**2 + 5*u + 1. Let c(a) = a**2 - 5*a - 2. Let q(p) = -4*c(p) - 5*i(p). Let x be q(4). Find the common denominator of (-1)/x*154/35 and 26/9.
45
Let a = -5777 + 80945/14. What is the common denominator of a and 9/161?
322
Let h(v) = 2*v**2 + 24*v - 76. Calculate the smallest common multiple of 24 and h(6).
840
Let h(g) = g**3 - 6*g**2 - 7*g - 2. Let p be h(7). Let x be 2 - p/(-18)*-6332. Let w = -713 + x. Calculate the common denominator of -2/9 and w.
9
Let o be ((-83706)/(-96))/(155/(-2)). Let w = -1/1240 - o. What is the common denominator of w and (-1 + 213/(-6))/((-45)/(-10))?
36
Let f(r) = 5*r**2 + 69*r - 76. Let s = -24 + 36. Calculate the least common multiple of f(-15) and s.
84
Suppose -y - 5 - 3 = 0. Let j(q) = -q**2 - 10*q + 8. What is the least common multiple of 1 and j(y)?
24
Suppose 6*t = r + 71, -r - 80 = -5*t - 21. Calculate the least common multiple of 1490 and t.
8940
Calculate the least common multiple of 8/76 + -2 + 3336/76 and 78.
546
Calculate the common denominator of -35 - -33 - 13/(-6) and (5/(-24))/(1/2).
12
Let c(f) = f**3