(-12). Let i(z) = z**3 + 4*z**2 + 2*z + 8. Let t be i(c). What is the least common multiple of t/(-10) + (-2)/(-5) and 7?
56
Let p(y) = -y**2 + 4*y - 6. Let k(q) = q**2 - 4*q + 7. Let h(r) = -3*k(r) - 4*p(r). What is the smallest common multiple of h(5) and 11?
88
Let f(i) = 2 + 6 - 1 - 2*i + 1. Let w be f(5). Calculate the least common multiple of w/((-4)/42) - 3 and 4.
36
Let n be 2/(2 + 10/(-6)). Suppose -5*x = 2*b - 40 + n, 2*x - 10 = -2*b. What is the common denominator of -5/8 and 12/x - 56/(-9)?
72
Let j(m) = -4*m. Let n be ((-18)/24)/(2/8). Suppose -k + 19 = 7. Calculate the smallest common multiple of k and j(n).
12
Calculate the lowest common multiple of (-104)/(-10) - (224/35 - 6) and 4.
20
Let c(j) = -2*j - 3. Let o(v) = -9*v - 13. Let a(s) = -26*c(s) + 6*o(s). What is the least common multiple of a(-3) and 2?
6
Let j(v) = 476*v**2 + 3. Let i be j(-3). Let y = 42783/10 - i. What is the common denominator of 1/(33/(-267))*3/6 and y?
110
Let n = 4 - 1. Let x = 102 + -298. Calculate the common denominator of (n/(-4))/(12/x) and -9/8.
8
Suppose -u - u = 0. Find the common denominator of -71/20 and 93/(-16) - u/4.
80
Suppose -4*p + 4*l = -24, 3*p - 4*l - 5 = 15. Suppose -s = -p*s + 60. Let h = -3 - -13. What is the lowest common multiple of s and h?
20
Suppose 2*y + 0*y - 3 = 3*i, -5*y + 55 = 2*i. What is the smallest common multiple of y and 6?
18
Let b be 11/2*(4 - 0). Calculate the common denominator of ((-42)/48)/((-2)/b) and -4/7.
56
Suppose 14 = -a - 5*g, 7*a - 2*a + 5*g + 30 = 0. What is the common denominator of 2/a - 18/(-4) and 14/3?
3
Let t(c) = c**3 - 2*c**2 + 1. Let m be t(1). Suppose -4*p + 40 = -m*p. Let a(n) = 5*n**2 - 1. Calculate the smallest common multiple of p and a(1).
20
Find the common denominator of -65/9 and 363/18 - (1 + 1).
18
Let c = 6932 - 83255/12. Calculate the common denominator of c and 137/24.
24
Suppose -3*u = v - 7, -6 = 4*v - 22. Suppose 0 = -j - u, -3*r + 37 + 21 = -4*j. Let x = -16 + 38. Calculate the lowest common multiple of x and r.
198
Suppose 0 = 2*v - 0*v - 3*t - 176, v - 3*t - 88 = 0. What is the smallest common multiple of v and 8?
88
Let l(f) = 49*f + 2. Let q be l(-2). Calculate the common denominator of 4/(-12) + 370/q and -97/22.
176
Suppose -4*m - b = -13, 0 = -m - 0*m + b + 7. Let u = -19 + 27. Calculate the smallest common multiple of m and u.
8
Let j = -75 + 81. What is the smallest common multiple of 5 and j?
30
Suppose 0 = 5*s + 216 + 13614. Find the common denominator of 4/7 + s/504 and -123/20.
60
Let y = -62969/112 + 3978/7. Find the common denominator of y and 137/18.
144
Suppose -5*u + 3*u - 2*s = -30, -4*u - 2*s = -50. Calculate the lowest common multiple of 31 and u.
310
Let q(t) = -2*t - 12. Let h be q(-13). What is the common denominator of (4 + -2)*31/h and 17/6?
42
Let c be (2 - -4244)*(-45)/48. Let s = -3988 - c. Calculate the common denominator of 85/24 and s.
24
Let r(w) = -w**3 + 2. What is the least common multiple of 8 and r(-2)?
40
Let t = 4716 - 42374/9. Find the common denominator of -97/10 and t.
90
Let q be ((-3)/(-6))/((-1)/(-4)). Suppose 0 = -q*x + 34 + 6. What is the lowest common multiple of 4 and x?
20
Calculate the least common multiple of ((-4)/(-10))/(2/20) and 47.
188
Let a = -19917 - -31920. Let g = -119927/10 + a. Calculate the common denominator of 21/22 and g.
110
Let m(q) = 3*q + 6. Let x be m(7). Suppose 5 = 5*a, 1 = -2*u + 2*a - x. Let s = 47/4 - u. What is the common denominator of 53/4 and s?
4
Let y = 30 + -4. Let n = y - 8. Calculate the least common multiple of n and 2.
18
Let i = 45 + 59. What is the lowest common multiple of i and 10?
520
Let c(m) = m**3 + 4*m**2 + 3*m. Let x = -16 - -14. What is the smallest common multiple of c(x) and 10?
10
Let w(y) = 13*y - 5. Let b be w(8). What is the common denominator of (4/8)/((-6)/(-149)) and (-6)/b*102/(-8)?
132
Suppose 3*l + 21 + 3 = 4*r, 4*r - 4*l - 28 = 0. Calculate the least common multiple of (-12)/10*(-20)/r and 6.
24
Let c = 2330 - 23333/10. Let g = -1469 - -7301/5. Find the common denominator of g and c.
10
Let d = 454/7 - 65. What is the common denominator of d and 3/18*10*66/26?
91
Suppose 8 = 5*z - 7. Suppose s = -z + 2. What is the common denominator of -67/22 and (2/(-12))/(s/53)?
66
Let n(r) = r**2 + 12*r - 5. Calculate the lowest common multiple of 8 and n(-13).
8
Suppose l = 6*l - 40. Let v = -11 - -16. Suppose -4*q - 6 = -5*k + 26, 4*k = -v*q + 42. What is the smallest common multiple of k and l?
8
Let t(d) = 2*d**2 - 4*d + 4. Calculate the lowest common multiple of t(3) and 6.
30
Find the common denominator of 201/27*(3/(-2) - -3) and -26/35.
210
Let b = -20836/9 + 2312. Calculate the common denominator of b and 103/10.
90
Let x = -4596/343 + 1232391/13720. Let a = x - 344/5. Find the common denominator of a and 73/10.
40
Let d be (-1)/(-4) + (-123)/12. Find the common denominator of (-218)/(-16)*8/d and 3/(-9) - 190/(-24).
60
Let c(x) = -x**2 + 7*x + 3. Let o = 15 + -5. Calculate the smallest common multiple of c(6) and o.
90
Let g(w) = w**2 - 6*w - 1. Let i(f) = -6*f**3 - 4*f**2 - 4*f - 6. Let k be i(-4). Calculate the common denominator of g(-4) and (k/(-27))/(-2) + -1.
9
Let s(n) = -n - 5. Suppose 2*f - i = f - 5, 3*f = 4*i - 14. Let u(d) = d**3 + 7*d**2 + 8*d + 1. Let t be u(f). What is the least common multiple of s(t) and 1?
6
Let p = 55 + -45. Suppose 4*y = -0*y. Let k = y - -12. What is the smallest common multiple of p and k?
60
Calculate the smallest common multiple of 16 and 20/((1/7)/(2/7)).
80
Let b = -11337535311392251/15390130920 - -28388593193/38685. Let w = -54/49729 - b. Let v = 2840 - w. Find the common denominator of -33 and v.
8
Let z = 1039/4 + 1335/4. Let f = -607 + z. What is the common denominator of f and -19/6?
6
Let n be 1/4 - 60/(-16). Suppose 33 = n*c - c. Calculate the lowest common multiple of c and 7.
77
Let x(w) = 6*w. Suppose 2 = -4*v + 18. What is the smallest common multiple of v and x(3)?
36
Let i(v) = 5*v**3 - v - 3*v**3 - 3*v**3 - 2 + 4*v**2. Calculate the smallest common multiple of i(3) and 8.
8
Suppose -34 = -4*v + 10. Calculate the lowest common multiple of 11 and v.
11
Let s = 13021/5 + -2593. Let o = -3876279/10 + 388482. Let x = o - 856. Find the common denominator of s and x.
10
Let u be (-43527)/210 - 1/5. Let k = 1022/5 + u. What is the common denominator of k and -111/14?
14
Let n(y) = -y**2 + 231. Let p be n(0). What is the common denominator of p/(-60) + -4 + 2 and ((-25)/105)/(12/70)?
180
Let u be ((-4)/(-5))/((-10)/(-17375)). Let f = u - 9690/7. Calculate the common denominator of f and -46/5.
35
Let x(g) be the first derivative of -g**3/3 - 2*g**2 + g + 2. Let k(n) = -n - 6. Let j be k(-3). What is the least common multiple of 10 and x(j)?
20
Let q(f) = -f**2 - 10*f - 1. Suppose 6*a - 2*a - 16 = 0. Suppose -o - 3*j = o - 24, -4*o + 28 = -a*j. What is the lowest common multiple of q(-9) and o?
72
Find the common denominator of -30/23 and 1/(-15)*620/(-12).
207
Let v = -4 - -19. Suppose 3*c = -4*f - 2*c, 0 = f + 5*c + v. Suppose 0*u + 5*u = 2*i + 5, -3*i = -f*u - 5. What is the smallest common multiple of 1 and i?
10
Let w be 535282/1837920 + (-5)/15. Let u = 24/547 + w. Let k = u + -617/560. Calculate the common denominator of 25/11 and k.
110
Suppose 2*b = 16 + 4. What is the common denominator of (-3897)/(-720) - (-4)/b and 1/(-5) - 27/10?
80
Calculate the common denominator of 101/4 and (2 - 268/8)/(-4).
8
Let j = 19379/6 + -3215. Find the common denominator of j and 41/30.
30
Suppose 0*i = 4*i + 60. Let z = i + 17. Let n = 5 + -3. Calculate the least common multiple of n and z.
2
Let u(b) be the first derivative of -3*b**2 - 1/3*b**3 + 1 - b. Calculate the lowest common multiple of 6 and u(-4).
42
Let c = -27068/2031 + -4/677. Calculate the common denominator of -6/7 and c.
21
Let m be (-10621)/(-12) - 3/12. Let t = m + -876. What is the common denominator of t and ((-67)/(-3))/((-22)/(-3))?
66
What is the common denominator of ((-1)/(-20))/(1/(-154)) and 356/52 - 4 - (-3 + 2)?
130
Suppose 0 = 2*k + 2*h + 6, 0 = k - 4*h - 17. Calculate the least common multiple of k and 3 - (-2 - -1)*4.
7
Let j = -50151 - -5115325/102. What is the common denominator of j and -53/22?
1122
Find the common denominator of 57/8 and