 -101/18 and u?
72
Let u(n) = n**3 - 9*n**2 + 10*n - 2. Suppose -5*m + 10 = -0*m. Suppose -5*f + m*p = -50, -p - 2*p = 15. What is the lowest common multiple of 20 and u(f)?
140
Let b(a) = 58*a**2 - 4*a. Let d be b(-6). Let k = -16797/8 + d. Find the common denominator of 47/6 and k.
24
Let m(s) = -5*s - 2. Let r be 5/(-15) + (-2)/(-6). Let p be -3*(2/3 - r). Calculate the smallest common multiple of m(p) and 12.
24
Suppose -b + 2 = 0, b = -g - g + 10. Suppose 88 = 5*u + 4*q, -g*q + 12 - 104 = -4*u. What is the lowest common multiple of u and 22?
220
Let t(o) = -o**3 - 11*o**2 - 11*o - 8. Let h be t(-10). Suppose -h*z + 42 = z. What is the lowest common multiple of 4 and z?
28
Suppose -3*t + 31 = 4*o, 0*o + o - t + 1 = 0. Suppose 0 = 3*d - 58 - 272. Suppose f + o*f + d = 0. What is the common denominator of f and 48?
1
Let m(b) = b**2 + 12*b - 9. What is the least common multiple of 32 and m(-13)?
32
What is the common denominator of ((-6)/(-9))/(16/498) and 3/18 - 3/(18/(-82))?
12
Let y = -87 + 869/10. What is the common denominator of 418/(-48) - (-45)/(-27) and y?
40
Suppose -t + 42 = -2*k, 0 = 3*t + 4*k - 0*k - 96. Calculate the least common multiple of t and 40.
360
Let u be (-2)/3 - 220/30. Let t(f) = -f**3 - 9*f**2 - 9*f - 2. Calculate the smallest common multiple of (-2)/(-3)*(-21)/(-2) and t(u).
42
Let z(a) = a - 10. Calculate the lowest common multiple of 6 and z(13).
6
Let i be (-1)/(-4) + 131/4. Let g = i + -10. Calculate the common denominator of g and -89/4.
4
Suppose 3*g + 14 = 4*c - 0*g, 3*c + 2*g - 2 = 0. Suppose c*f - 2 = 6. Let y(a) = -3*a - 4. Calculate the least common multiple of f and y(-8).
20
Let p(n) = -n**3 - n**2 - 12809. Let g be p(0). Let h = 179433/14 + g. Calculate the common denominator of h and (-31)/(-18) - 2/(-2).
126
Let n be (-500)/759 + (-8)/(-12). Let i = n + -9365/506. Find the common denominator of i and -91/2.
2
Suppose -4*b + 37 = 1. What is the least common multiple of b and 7?
63
Let t = 214 + -86. Let l be t/(-22) + (-8)/44. Calculate the common denominator of (-6)/(-40)*(-62)/l and -61/12.
60
Let g(m) = 7*m - 3. Let s be g(2). Suppose 4*h - 39 = -5*c, -3*c + s - 2 = 0. Let b = 2 - 1. What is the least common multiple of h and b?
6
Let n(s) = -s**3 + 8*s**2 + 8*s + 11. Calculate the lowest common multiple of 12 and n(9).
12
Suppose 0 = -3*z, -4*t + 5*z + 22140 = 4*z. Let r = t - 33311/6. Find the common denominator of ((-7)/5)/((-4)/130) and r.
6
Let a be 0/(-1 - -2)*-1. Let o(f) = f**2 + 3*f + 4. Let p be o(-3). Let s = p - a. Calculate the least common multiple of 14 and s.
28
Let x be (-23)/(-1) + 0/2. Let w = 41 - x. What is the lowest common multiple of w and 14?
126
Let l = -3 + 5. Suppose 0 = -l*f - 4, -3*f + 4 = -p + 11. Calculate the common denominator of p/2 - (-57)/21 and 55/14.
14
Suppose d - w + 5*w - 71 = 0, -d - 5*w + 70 = 0. What is the least common multiple of 9 and d?
225
Let g(d) = 4*d + 1. Let n be g(-3). Let y = 19 + n. Calculate the smallest common multiple of 7 and y.
56
Suppose 2*o - 2*l = -0*l + 46, 0 = -5*o + 4*l + 119. What is the least common multiple of 39 and o?
351
Let c = 21 + -15. Let a(m) = m**3 - 5*m**2 - 5*m - 5. Let o be a(c). Let w(p) = -34*p**2 - 2*p + 1. Calculate the common denominator of w(o) and -97/8.
8
Suppose 4*r + 1 + 3 = 0. Calculate the common denominator of -2 + r/(-10)*71 and -3*(2/(-5))/((-138)/(-1127)).
10
Let g = -9 + 57. What is the smallest common multiple of 2 and g?
48
Let z = -4 + 6. Let x be z*(3 - 1/1). Suppose c + c = 8, -x*c = 4*a - 24. Calculate the lowest common multiple of 6 and a.
6
Let c = -966 - -21199/22. Calculate the common denominator of -89/4 and c.
44
Let k(d) = -d**3 + 9*d**2 + 12*d - 4. Let u be k(10). What is the common denominator of 27/16 and (-109)/(-20) + (16 - u)?
80
Let g(x) = -2*x - 4. Calculate the lowest common multiple of 4 and g(-4).
4
Suppose 0 = 4*s - r - 20, -3*s + 5*r = -17 + 2. What is the smallest common multiple of s and 11?
55
Let d = 9 + 9. Suppose 0 = 5*n + 2*b - d, 3*b - 20 = -4*n - 0*b. Calculate the lowest common multiple of n and 1.
2
Let f(s) = -s + 6. Let a be f(10). Calculate the common denominator of 35 and a - (-5)/(90/52).
9
Let u(w) = 61*w**3 + 7*w**2 + 4*w + 3. Let n be u(6). Let c = -134431/10 + n. What is the common denominator of c and -63/8?
40
Let k(d) = -45*d + 2 + 36*d + 0. Let t be (1 + 0)/(-1) - 1. What is the least common multiple of 10 and k(t)?
20
Let n(l) = 4*l**3 - l**2 - l. Let p be n(-1). Suppose -5*b - 5*s = 35, -3*s = b - 5*s - 5. Let c = b - p. What is the smallest common multiple of 6 and c?
6
Let z be 27/12*88/3. Calculate the common denominator of (-4)/(-14) + (-8723)/(-462) and (-291)/z + 1 + 0.
66
Suppose -2*i - 90 = -5*i. Find the common denominator of -19/4 and 14/(-21) - (-62)/i.
20
Let q = -32 - -37. Calculate the lowest common multiple of q and 21.
105
Let u(m) = 9*m**2 - 5*m - 5. What is the lowest common multiple of u(-1) and 22?
198
Let n = 656 - 2643/4. Let m be (-1)/(1/2) + 22. Let j = m - n. Calculate the common denominator of j and -56/9.
36
Let l = -215 + 1997/9. Let v = 5/453 + -43055/1812. Calculate the common denominator of l and v.
36
What is the least common multiple of 20 and 3/6*28 - 0?
140
Let t = -5 - -8. Let x be 4/8 + 39/2. Let h = x + -9. Calculate the lowest common multiple of h and t.
33
Let l = 112 + -106. What is the smallest common multiple of l and 12?
12
Suppose -v = 5*u - u - 7, 2*u - 4*v = 26. Suppose 5*p - 66 + 31 = 0. Calculate the lowest common multiple of u and p.
21
Let i = 7197/10 - 719. Suppose 2*j - j = 6. What is the common denominator of 104/(-12) - (-4)/j and i?
10
Let p(h) = -6*h - 1. Let n(x) = -x + 1. Let j(i) = -6*n(i) + 2*p(i). Suppose 7*v = 2*v + 50. What is the smallest common multiple of j(-3) and v?
10
Find the common denominator of 131/84 + 12/(-42) and -69/4.
84
Suppose -5*d + 0*d = -3*a + 35, -3*a + 3 = 3*d. What is the least common multiple of 8 and a?
40
Suppose 8 = 5*l + 68. Let o be (-20)/(-3)*(-54)/l. Let p = -20 + o. Calculate the smallest common multiple of 16 and p.
80
Let f = 742/9 - 919/9. Let g = 26/57 - -213/19. Find the common denominator of g and f.
3
Let a = -25694 + 847837/33. Find the common denominator of 43/21 and a.
231
Let x = -1079/105 - -62/15. Calculate the common denominator of ((-2)/11)/((-4)/(-8)) and x.
77
Let j be (-3992)/260*(-1)/1. Let c = -41/13 + j. Let u = -1033/10 - -644/5. What is the common denominator of c and u?
10
Suppose -2*t = -5*x - 0*x - 37, -4*x - 23 = -t. Suppose -26 = -s + 3*r, 4*s + 3*r - 56 = -r. What is the least common multiple of t and s?
187
Let p = -718/81 + 26048/2835. Let x = -761/105 - p. Let d = 72333/10 - 7226. What is the common denominator of d and x?
70
Let d(b) = b**2 + 2*b - 4. Let t(n) = n**3 - 4*n**2 - 6*n. Let f be t(5). What is the least common multiple of d(f) and 4?
44
Let g = 17 + -21. Let a = 1 + 5. Calculate the common denominator of -95/6 and 14/(-3)*g/a.
18
Let j = 2 - -2. Let g(f) = f**3 - 4*f**2 - 4*f - 4. Let t be g(j). Find the common denominator of (-8)/t - 122/(-40) and -83/18.
180
Let u(l) = l**3 + l**2 + l - 20. Let h be u(0). Let w(k) = -k**3 - 6*k**2 - 3*k - 2. What is the least common multiple of (-392)/h - (-2)/5 and w(-6)?
80
Let v = -249 + 4983/20. Calculate the common denominator of 11/30 and v.
60
Let q = 7 + -4. Let y be q + (0/(-3) - 0). Suppose -2*w - 2 = y*o - 6, 4 = 4*o + 3*w. What is the least common multiple of 3 and o?
12
Suppose 4*d = 3*b + 14267, d + 4*b - 7128 = -d. Let k = d + -21449/6. Let w = 27 - 541/20. Find the common denominator of k and w.
60
Let u = 248557/42130 - -1/4213. What is the common denominator of u and -31/12?
60
Suppose 0 = -0*r + 2*r - 5*u - 1250, -4*u - 3125 = -5*r. Find the common denominator of 234/(-15)*1/(-2) and (-3)/10*r/30.
20
Suppose 2*g = -3*g - 5*v + 5, 10 = g - 2*v. Suppose 8 = -4*a, 2*n + 2*n - g*a = 24. Let s = n + -2. Calculate the smallest common multiple of 6 and s.
6
Suppose 2*n - 28 = -2*p, 5*n - 2*n = p - 30. What is the least common multiple of 3 and p?
18
Suppose -3*f = -4 - 8. Let h = 2 + f. What is the smallest common multiple of (0 - 1)/((-2)/h) and 6?
6
Suppose -16 = -2*s - 2*s, w - 5*s = -35. Let p = -27 - w. Let v = p - -21. What is the smallest common mul