multiple of n and 10.
10
Let r(i) = -i**2 + 8*i + 3. Let v be r(7). Suppose l - v = -4*l. Suppose -2*y + 4 = 0, -3*y = l*t - t - 10. Calculate the lowest common multiple of t and 10.
20
Let l(v) = 1. Let f(w) = 3*w + 1. Let j(s) = -f(s) - 2*l(s). What is the least common multiple of j(-3) and 8?
24
Suppose 0 = 4*k - 44 - 36. Let t(y) = 2*y**2 + 3*y - 3. What is the smallest common multiple of t(3) and k?
120
Suppose 3*o - 6*o + 132 = 0. Calculate the lowest common multiple of o and 9.
396
What is the common denominator of -85/24 and (1/(-2))/((-33)/86)?
264
Suppose 3*l + 2*r - 50 = 0, -4*l + 81 = 4*r + 13. Suppose -4*m = -2*m - 24. What is the lowest common multiple of m and l?
48
Let a = 20 + -6. Calculate the smallest common multiple of 8 and a.
56
Let b be 3/6 - 138/4. Let o be b/6 - 2/6. What is the common denominator of -49/6 and 62/(-24) + (-4)/o?
12
Let b = 4 + -3. Let v be (-1)/(b/(-12)) + -3. Suppose -2*t + 6*t = -3*h + 27, 0 = t + 3*h - v. What is the smallest common multiple of t and 2?
6
Let k = -968 - -1995/2. What is the common denominator of 8/4 + 10/8 and k?
4
What is the common denominator of 0/2 - 46/(-20) and 2/9 + (-4206)/(-756)?
70
What is the smallest common multiple of -4 + (0 - -2) + 3 and 6?
6
Let x = -1 + 4. Calculate the lowest common multiple of (-1)/((-3)/48*2) and 1*(x - (1 + -1)).
24
Let x = 92 - 43. Suppose d + x = 5*d + 3*t, -2*d + t = -17. What is the smallest common multiple of d and 2?
10
Suppose n = 3*f + 34, -f + 104 = 4*n + 3*f. What is the least common multiple of n and 18?
252
What is the smallest common multiple of (132/(-8))/((-3)/(-6)*-1) and 1?
33
Let q(z) = 4*z**2 + 3*z + 2. Suppose -3*b - y = -0*b - 115, -3*b - 4*y + 127 = 0. Let o = b - 15. What is the lowest common multiple of o and q(-2)?
132
Let g(h) = -7*h + 1. Let i be g(-2). Suppose i = 2*u - 9. Suppose 8 = k + k - 4*c, 4*c - 64 = -4*k. Calculate the least common multiple of k and u.
12
Let x be 3535/6 + 1 + -4. Let m = 2313/4 - x. What is the common denominator of m and 85/12?
12
Suppose c = 5*q - q + 10, -3*q - 6 = 0. What is the smallest common multiple of 22 and c?
22
Let y = -18 - -23. Calculate the least common multiple of 20 and y.
20
Let h(z) = -z**2 - 14*z - 13. Let d be h(-10). Calculate the common denominator of 2 - 3/12*d and -99/8.
8
Let d(a) = -a**2 + 6*a + 8. Let y = -9 - -21. Let m = y + -6. Calculate the least common multiple of d(m) and 9.
72
Let d = 24 + 23. Suppose -27 - d = -b. Suppose 3*i - b = -8. What is the lowest common multiple of i and 6?
66
Let u be 6/((-5)/(-2) + -2). Calculate the smallest common multiple of (u - 0)*(-3)/(-4) and 1.
9
Suppose -h - 165 = 5*z, -6*z + z - 2*h - 165 = 0. Let d = z + 22. Let f = d + 19. Calculate the lowest common multiple of f and 22.
88
Suppose -2*l - 3*l - 15 = 0. What is the common denominator of (l/5)/(16/(-90)) and -83/2?
8
Let c(w) = w**2 + 4*w + 5. Let q be c(-5). Find the common denominator of (q/(-32))/(6/(-136)) and 32/3.
12
Let a = 103/234 + -2/39. What is the common denominator of a and 1/4?
36
Let k = -2 + -1. What is the smallest common multiple of 20 and (1 + -2)*k + 1?
20
Suppose -4*i = -0*i. Suppose 2*v - 2*g = -0*v + 14, 4*v + 2*g + 2 = i. Calculate the common denominator of (107/2)/((-18)/v) and 43/20.
180
Let v = -62 + 129. Let m = v + -47. Let h(g) = g**2 - 4. Calculate the smallest common multiple of m and h(-4).
60
Let h = -3 + 9. Suppose 3*l = 5*l - 8. Let a = h - l. Calculate the least common multiple of a and 20.
20
Let u be 3*(2/6 - -3). Let h = u - 4. Calculate the smallest common multiple of h and 7.
42
Let c be (-310)/(-13) - 14/(-91). Calculate the least common multiple of 54/4*c/18 and 22.
198
Let w = -51397/10 + 5129. Calculate the common denominator of -5*(-2 - (-57)/21) and w.
70
Let v = 9895/5709 - 22/173. Find the common denominator of v and -89/15.
165
Suppose 4*z = 4*l + 32, l + 20 = 3*z - l. What is the lowest common multiple of z and 0 + -2*(-8)/1?
16
Calculate the common denominator of 99/16 and (-3)/27*261/(-12).
48
Suppose 2*a - 4 + 0 = 0. Suppose -4 = t - 5. Calculate the smallest common multiple of t and a.
2
Calculate the common denominator of (-57)/(-1292)*2/6*-47 and -63/10.
340
Let g be (1/(-2))/(8/(-3458)). Let w = -435/2 + g. Calculate the common denominator of (-102)/(-32) - (-1)/2 and w.
16
Let f = 2917 + -43739/15. What is the common denominator of 43/36 and f?
180
Let q be (1 + 3)*(-1)/(-2). Calculate the common denominator of ((-6)/4)/(q/(-7)) and (-29)/32*(4 - 2).
16
Let k be 24081/34608 - 1/4. Let c = k - 6/721. What is the common denominator of ((-111)/(-9))/((-60)/(-9)) and c?
80
Let w(u) = u**3 - 5*u**2 - 6*u. Let v be w(6). Suppose -4*t = -z + 3, z + 3 = -v*z - 2*t. Find the common denominator of 83/6 and (-100)/(-14)*z/(-2).
42
Suppose -10875 = 5*r - 0*r. Let u = -450 + 6291/14. Calculate the common denominator of 4/(-14) - r/336 and u.
112
What is the common denominator of 0 + (16/(-6) - 3) and 6/11?
33
Let a(n) = 370*n - 3. Let s be a(-2). Let k = s - -1541/2. What is the common denominator of 17/20 and k?
20
Let u = 3 + -2. Suppose 3*y = q + 47, -y + 0 = -4*q - 1. Suppose -3*x - y + 1 = -2*c, x - 57 = -5*c. What is the least common multiple of u and c?
11
What is the common denominator of 45/(-6)*(-1)/(-12) and -42/11?
88
Let t = -108 - -153. What is the smallest common multiple of 33 and t?
495
Let d(n) = n**3 - 4*n**2 - 4*n + 5. Let k = -13 - -23. What is the smallest common multiple of k and d(5)?
10
Let p = 44721/10 + -4479. Let u = 7/23 + -1983/92. What is the common denominator of p and u?
20
Suppose -2*h - 3*u + 2 = -29, -4*h - u = -37. Let c be -6 - -4 - 524/7. Let s = c - -5261/70. Calculate the common denominator of h and s.
10
Suppose f - 6 = 3*f. Let i = 1 - f. Let q = -1 + i. What is the smallest common multiple of 2 and q?
6
Let o be 0/3 - (-634)/12. Let b = o + -2797/48. Find the common denominator of (-25)/(-12) - (-13 - -16) and b.
48
Let q(p) = -p**2 - 7*p. Let n(y) = 2*y + 5*y + 4*y + y**3 + 12 + 11*y**2. What is the least common multiple of n(-10) and q(-6)?
6
Let v(x) = x**2 + 9*x - 12. What is the lowest common multiple of v(-11) and 30?
30
Let y(x) = x**2 + 3. Calculate the lowest common multiple of y(-3) and 4.
12
Suppose j + 2*j - 3 = 0. Let p be j - (0 + -1) - 0. Suppose 0 = -2*z - t + 39, 0*z + p*z = 2*t + 54. What is the lowest common multiple of z and 20?
220
Suppose -6*i = -5*i - 6. What is the lowest common multiple of i and 14?
42
Let g = 16/1019530175 + -20620609539208/2021728337025. Let i be (4 + 10/(-3))/1322. Let b = i - g. Find the common denominator of -79/8 and b.
40
Let z = 87 - 78. What is the least common multiple of 3 and z?
9
Let o(u) = 6*u**2 - u + 1. Let d be o(-2). Suppose -17 = -4*m + d. What is the lowest common multiple of m and 10?
110
Let h(x) = 9*x**2 - 1. Suppose 0 = -d - 3*v + 5, -3*d = -d + v - 5. What is the least common multiple of d and h(1)?
8
Let q = -187071/20 + 9357. Let n = 253/5 + -857/20. Calculate the common denominator of q and n.
20
Let j(v) = 4*v**2 + v. Calculate the least common multiple of j(2) and 2.
18
Let w = -23 + 34. Let y = 44 + -33. Calculate the smallest common multiple of w and y.
11
Let z = 25699/6 - 4260. Let s be (1 - 0)/(4/32). Calculate the common denominator of (-4)/30*642/s and z.
30
Let o be ((-6)/(-4))/(126/433578). Let v = -5155 + o. Calculate the common denominator of 73/14 and v.
14
Let y(x) = -x - 3. Suppose -3*j + 37 = -0*j - 5*b, 2*j = -4*b - 12. What is the least common multiple of j and y(-5)?
4
Suppose 213 = 2*o + o. Suppose 4*h = 3*u + o, 5*u + h + 58 = -45. Calculate the common denominator of (204/u)/(-2) + 1 and -12/5.
35
Let z(g) = -9*g**3 - 2*g**2 + 2*g - 1. Let a be z(1). Calculate the common denominator of -71/2 and 30/8 + (-8)/a.
20
Suppose -9 = -7*t + 4*t - a, 0 = -2*t - 4*a + 6. Suppose -2*z - t*u + 22 = 0, -3*u = 2*u. Calculate the common denominator of -6/5 and z.
5
Suppose 3*k - 32 = -k. Let i = 18 + k. Calculate the smallest common multiple of 1 and i.
26
Suppose 0 = -5*m + m - 952. Let f = -663/110 - 50759/220. Let g = f - m. Find the common denominator of g and 52/3.
12
Suppose 2727 + 2873 = -4*u. What is the common denominator of u/96 + (3 - 1) and 1/12?
12
Let q = -2329/6 + 394. What is the com