Let q be (3/(-1) - -2) + (1 - -2). Suppose -7*r - q = -5*r, 4*r = -3*k + 86. Calculate the smallest common multiple of 10 and k.
30
Let f = -2/160237 + 1117813318/480711. Let n = -2301 + f. Calculate the common denominator of n and 23/3.
3
Calculate the least common multiple of 520 and (54/36)/((-3)/(-40)).
520
Suppose 20 = 5*r - 2*b, -r + 4*r = -3*b - 9. Suppose 4*f + 0*f - 48 = a, -3*f + 106 = -r*a. Find the common denominator of -95/8 and a/32*(-75)/28.
16
Let r be (-2303)/(-21) - 2/6*-1. Suppose -2*j = 5*u - r, 4*u - 5*j = 3*u - 5. Let n = -17 - -31. Calculate the smallest common multiple of n and u.
140
Let q(m) = -2*m**2 - 30*m + 12. What is the smallest common multiple of 264 and q(-6)?
1320
Let f(v) = v**2 - 7*v - 13. Let o be f(-6). Suppose 0*z + 110 = 5*z. Find the common denominator of (-4)/z*o/(-20) and 91/22.
22
Find the common denominator of 4/(-3)*2691/(-4264) and -15/2.
82
Let q(l) = -2*l - 8. Let a be q(-4). Suppose 5*h - 2*h - 75 = 0. Suppose 4*j = -2*x - 1 + h, a = -x - 5*j + 9. What is the least common multiple of 6 and x?
42
Suppose -2 + 6 = -4*b. Calculate the common denominator of (23/6)/b*20/(-35) and -55/21.
21
Suppose 0 = -2*d + 2, 3*t + 0*t - 58 = -4*d. What is the least common multiple of 30 and t?
90
Let l = -127961/20 - -6400. Find the common denominator of -79/70 and l.
140
Let n = -3584/5 - -719. Find the common denominator of -39/55 and n.
55
Suppose 0 = 7*v - 3*v + p - 93, -2*p = -4*v + 102. Suppose 0 = 5*z - v - 16. What is the lowest common multiple of z and 6?
24
Let p(u) = 26*u**2 - 3*u + 7. Calculate the smallest common multiple of p(3) and 14.
1624
Let o = -89/409969 - 128287907669/8199380. Suppose -d = -4*d + 9, 2*a - d - 31297 = 0. Let c = o + a. Find the common denominator of c and 29/8.
40
Let t(n) = n - 1. Let z(b) = -b + 6. Let x(d) = 2*t(d) + z(d). Let m be x(-6). Calculate the least common multiple of 10 + (-3 - (m - -1)) and 22.
88
Let t = 2468519/337 - 7325. Let f = t - -5446/3033. Let d = 290/19 + -401/152. What is the common denominator of d and f?
72
Suppose -k - 3*k = 0, 5*h = -4*k + 20. Let a = -21 + 9. What is the lowest common multiple of h and (3/(-9))/(2/a)?
4
What is the lowest common multiple of -11*(-3)/165 - (-944)/5 and 147?
1323
Suppose 4*s - 20 = 0, -4*a - 4*s = -s - 31. Suppose 25 = 5*j, -2*o - a*j = -o - 24. Let n = o - -8. Calculate the lowest common multiple of 22 and n.
132
Suppose 11*h = 3*h + 432. Calculate the lowest common multiple of h and 24.
216
Let g = 3019/10 + -300. Let s be (6 + -3)*4/(-2). What is the common denominator of g and 67/3*(-2)/s?
90
What is the smallest common multiple of 9 and (-4)/(-2) - 6*(-182)/21?
54
Let n = 13 + -10. Suppose -5*d = -43 + n. Let l(s) = s**3 - 8*s**2 + 1. Calculate the least common multiple of 22 and l(d).
22
Suppose -2*l - 5 = 3*l. Calculate the common denominator of -28 and l*(-25)/15 + 0.
3
Suppose 3*s = 2*s - 3*h - 9, 2*s - 5*h = 37. Let o = 6 - s. Suppose -d + 23 = p, o = d + 2*p - 14 - 8. What is the lowest common multiple of 10 and d?
120
Let c(x) be the second derivative of -x**3/6 + 3*x**2/2 - 2*x. Let b be (1 + 2)/(2*(-2)/8). What is the lowest common multiple of c(b) and 2?
18
Let t be 25146/2241 + (0/2)/1. Let x = t - 9/166. What is the common denominator of x and -89/10?
30
Let k = -22465/4 + 7271. Suppose -3*d - 5*h = 4977, -d + 4*h = -2*d - 1652. Let w = k + d. What is the common denominator of w and 67/9?
36
Let z(s) = -s**3 - 4*s**2 + 4*s + 1. Let b be z(-5). Suppose 0 = 3*o - 12 - b. Calculate the least common multiple of o and 9.
18
Let s be (-4)/(-10) + 18/5. Let o be (-4)/3*6 - -10. Suppose 53 = o*l - g + s*g, -g = 2*l - 47. What is the least common multiple of 20 and l?
220
Let r be (5 + 142)/((-1)/(-6)). Let o = r - 1855/2. Calculate the common denominator of o and (2*2/8)/((-21)/351).
14
Suppose 3*l - 9 = -b, 0 = -0*b + 4*b + 3*l - 27. Suppose -b*z + 99 = 27. What is the smallest common multiple of z and 28?
84
Suppose 3*u = -u - 2*j - 2, j + 3 = 0. Suppose -7 = -2*h + u. Let s(x) = -x + 6. Calculate the least common multiple of 10 and s(h).
10
Let n = 1367/143 + -116/13. Find the common denominator of n and -74/3.
33
Suppose -2*f = -2*r - r + 6, -2*f = r + 6. Suppose 4*k + 6 = 2*q, k = 5*q - r + 3. What is the smallest common multiple of 4 and 1/q*-3 - 1?
4
Let x(r) = 33*r**3 + 3*r**2 - 7*r + 7. Let m(t) = 4*t**2 + 3*t + 1. Calculate the smallest common multiple of m(-3) and x(1).
252
Suppose -7*y = -4*d - 4*y + 41, 3*d - 4*y - 22 = 0. Find the common denominator of -31/33 and (286/(-12))/(d/7).
132
Find the common denominator of (-15)/(-3) + (1180/(-168) - -5) and -97/36.
252
Calculate the common denominator of ((-65)/(-325))/((-162)/(-425)) and 51/44.
3564
What is the common denominator of -47/36 and 8*(-9 + 6849/756)?
252
Let k = 26 - 14. Suppose -3*z = -4*h + 274, -24*z + 146 = 2*h - 21*z. What is the smallest common multiple of k and ((-4)/(-10))/(7/h)?
12
Calculate the common denominator of 278/330 + (-3)/(-18) and 5/33.
330
What is the common denominator of -52/165 and ((-308)/1071)/(6/9)?
2805
Let q(a) = a**3 + 5*a**2 + 4*a + 6. Let z be q(-4). Let v be (z/21)/(2/14). Let n(b) = 4*b - 1. Calculate the lowest common multiple of n(v) and 1.
7
Let r(u) = 7*u - 2. Let t be r(1). Suppose 0 = t*l - 9 - 41. Suppose 2*i - 2*w = 2, -2*i + 3*w = -5*i + 3. What is the lowest common multiple of l and i?
10
Let w(f) = 4*f**2 - 19*f - 4. What is the lowest common multiple of 10 and w(10)?
1030
Calculate the common denominator of 1/(-8)*(-19)/((-741)/4316) and -41/38.
114
Let y(z) = -z**2 + 27*z - 30. Calculate the lowest common multiple of y(25) and 120.
120
Suppose -2*o - 14 = -4*f, -3*f - 3*o = -15 - 0. Suppose -2*z - 48 = -6*z. Calculate the common denominator of 153/z + (-1)/f and 32/3.
6
Let q = 1485 - 1389. What is the lowest common multiple of 32 and q?
96
Suppose 0 = 3*d + 5 + 1. Let r = 7 - d. Calculate the least common multiple of (-1 + 9)*(-10)/(-8) and r.
90
Let l be (10195*(-8)/(-12))/4. Let p = l - 1690. Find the common denominator of 5/16 and p.
48
What is the common denominator of 2/(-6)*(4550/1320 + -3) and -5/6?
396
Suppose -531 = -19*k + 1369. What is the lowest common multiple of 120 and k?
600
Suppose -2*t - 217 - 11 = 0. Let q be (-43)/5*-39*(-4)/12. Let s = q - t. Calculate the common denominator of s and -65/3.
15
Suppose 0 = -11*x + 10 + 34. Let p = x + 48. Calculate the smallest common multiple of 10 and p.
260
Let h = 59/24 - 13/24. Let p(b) = 12*b**3 - 7*b**2 - 7*b + 11. Let v be p(-8). Let i = -78443/12 - v. Find the common denominator of h and i.
12
Suppose 0 = 4*t + t. Suppose -2*o + t*o = -26. Suppose -3*w + 12*f - 14*f + 23 = 0, 2*f = w - 13. What is the smallest common multiple of o and w?
117
Let a(x) = x**2 - 5*x - 11. Let j be a(7). Suppose j*p = 2*p + 3*r - 2, -2*r = -p. Find the common denominator of (-1*p/(-14))/(-4) and -23/22.
154
Suppose 1606 + 89 = 5*q. Suppose b = 4*p + 122, 2*b + q = 5*b - 3*p. Calculate the smallest common multiple of 10 and b.
110
Let g = -38 + 46. What is the least common multiple of g*(-3)/(-6) + -2 and 20?
20
Let k = 1/572 + -25171/1716. Let h be 375/(-12) + ((-20)/(-16))/(-5). Let u = h - -29. What is the common denominator of k and u?
6
Let r(h) = h**3 - 4*h**2 - 2*h + 12. Let w be r(4). Suppose 9 + 7 = w*f. Calculate the least common multiple of 1 and f.
4
Let g(i) = 5*i**3 - i**2 + i - 1. Let m be g(1). Suppose m*p - 9 = -5. What is the common denominator of 50/3 and (-910)/80 - p/4?
24
Let g = 2051/3 + -2723/4. Let a = 1017743616929/41901970 + -2/1904635. Let k = a + -24284. Calculate the common denominator of k and g.
132
Find the common denominator of (124/(-32))/(10/(-5)) and -77/40.
80
Suppose -6*l = -3*l - 2*x - 38, 0 = -4*l + 5*x + 60. Calculate the smallest common multiple of l and 25.
50
Suppose -63 - 231 = -21*c. Calculate the lowest common multiple of 18 and c.
126
Let u be ((-21)/2)/((-3)/248). Let t = u + -1520. Let s = t - -1387/2. What is the common denominator of s and 77/12?
12
Let k = -3 + 17. Suppose 0 = k*u - 19*u + 40. Suppose 2*n - u - 2 = 0. Calculate the smallest common multiple of n and 9.
45
Calculate the common denominator of 52/87 and (-46)/3289*11 + (-1346)/2574.
2871
Let r = 1627 - 78101/48. Find the commo