and 1 + -5 + 1859/156.
120
Suppose 0 = -4*n + 4*m + 16, 5*m + 9 = -2*n - 4. Calculate the least common multiple of n and 2 - -3*(-1 - -2).
5
Suppose 2*d + 0*g - 3*g = 41, -2*g + 58 = 4*d. Let x = 35 + -25. What is the smallest common multiple of x and d?
80
Suppose -2*r + 0 + 6 = 2*f, 0 = 4*r - 4. Let u(h) = 2*h**3 - 4*h**2 + 2*h + 2. Let k be u(3). Let m = 27 - k. What is the least common multiple of f and m?
2
Let y be (-3)/2 + 18/12. Suppose -m + 2*m - 11 = y. What is the lowest common multiple of m and 11?
11
Let x be (-2)/240 - (-1 - -1). Let o be (1/(15/(-5118)))/96. Let f = x + o. What is the common denominator of -85/12 and f?
48
Suppose 6*q - q = -5*z, 2*q - 4*z = -6. Let s(o) = -11*o**3 - o**2 + 1. What is the lowest common multiple of s(q) and 3?
33
Let x = 869 + -79973/92. What is the common denominator of 5/2 and x?
92
Suppose -5*u + 3*u + 6 = 0. Let j be 2*u*1/2. What is the least common multiple of 0 + ((-9)/(-1))/j and 5?
15
Let b = 65 - 45. Suppose -10*a - 2*a = -96. What is the least common multiple of a and b?
40
Let p = 3 - -3. Let x = 47 - 37. Calculate the least common multiple of x and p.
30
Find the common denominator of (-2)/27*-39 + (-21)/(-28) and -56/27.
108
Let m = 13 - 25. What is the common denominator of (188/18)/(m/(-9)) and -55/6?
6
Suppose 0 = -5*g + 1 + 24, 5*d - 5*g + 90 = 0. Find the common denominator of (-3)/36*(-2 - d) and 47/5.
60
Let y(n) = -1264*n**3 - n**2 - n + 1. Let r be y(1). Calculate the common denominator of 59/4 and (-3)/4 + r/(-140).
28
Calculate the least common multiple of 4 and (-4 - 18/(-5))*-30.
12
Let k = -1061/7 + 151. Find the common denominator of -76/9 and k.
63
Let n(y) = -y**3 + 13*y**2 - y + 15. Let j(l) = l**3 + 4*l**2 - 4*l - 1. Calculate the least common multiple of j(-3) and n(13).
20
Suppose 0 = 4*v - 5 - 31. Suppose t = 43 - 38. Calculate the smallest common multiple of v and t.
45
Suppose -3*o + 5 = -2*y, 4*y - 4*o - 15 = -3*o. Let q = 9 + -5. Suppose -l + q = -b, 0 = -l - 4*l - 4*b + 11. Calculate the least common multiple of y and l.
15
Let t = 1/1894 + -52562/6629. Find the common denominator of t and 119/20.
140
Let n(z) = -z**2 + 6*z - 6. Let j be n(4). Suppose 90 = 5*i + 3*m, -j = -i + 2*m + 16. What is the smallest common multiple of i and (4/3)/((-3)/(-45))?
180
What is the least common multiple of 18 and 2*87/42 - (-1)/(-7)?
36
Let w = 737573/204246 + -1/11347. What is the common denominator of 0 + 19/20 + 1 and w?
180
Suppose -6*y + 456 = -2*y. What is the common denominator of 1*(y/(-21) + -2) and 26/24 - (-2)/8?
21
Let l = -1 + 2. Suppose -4*z + 7 = -q, -4*z - 1 = 2*q + l. What is the least common multiple of 9 - 1 - (-2 + z) and 11?
99
Let v be (-285)/18*7822/20. Let g = -6196 - v. What is the common denominator of 17/10 and g?
60
Suppose 0 = -0*a + 4*a - 72. Calculate the common denominator of (-534)/(-4)*(-2)/a and 20/7.
42
Let m = -21407/10 - -2131. Let k = -2/11771 - -1141807/117710. What is the common denominator of m and k?
10
Suppose 35 = 2*k + 3*k. Suppose 2 = -n, -2*q + 16 = 2*n - k*n. Suppose 20 = -g + q*g. Calculate the least common multiple of 10 and g.
10
Suppose -4*a - 5*n = -117, 78 - 240 = -5*a - n. Suppose -i = 2*k - 14, 3*i - 6*k + 3*k = a. What is the least common multiple of i and 4?
12
Let w(z) = 34*z**3 + z**2. What is the common denominator of (-1)/(1 + (-100)/85) and w(1)?
3
Let k = 5705/2178 - 1/121. Calculate the common denominator of 28/3 and k.
18
What is the common denominator of (-4)/22 + (-3108)/88 and -1/3?
6
Let g be 2/(-2)*-2 - -144. Let v be (-10)/(-4)*g/(-10). Let y = v + 179/4. Find the common denominator of y and 15/4.
4
Let p(t) = -t**2 + 18*t - 18. Let i be p(13). Suppose -k + 7 = w, 5*k + 3*w - w = 35. Calculate the smallest common multiple of i/7 - (-6)/21 and k.
7
Find the common denominator of (87/(-11) - -8)/(1/(-47)) and -34.
11
Let v be 1 - (-3 - (-2)/(-2)). Let a(p) = p**3 - 5*p**2 + 5. Calculate the lowest common multiple of 3 and a(v).
15
Let o be (1/1)/((-1)/6). What is the common denominator of (-5)/o*219/(-15) and -2 + (-1)/(66/111)?
66
Let r = -33989/18 + 1887. What is the common denominator of r and -115/12?
36
Let u(b) = 7*b - 4. What is the lowest common multiple of 8 and u(2)?
40
Let c(y) = y**2 + y + 5. Calculate the smallest common multiple of c(0) and 1.
5
Let g = -745/6 + 122. Suppose 0 = 3*b - 60 - 21. Find the common denominator of 1*-22*b/(-48) and g.
24
Calculate the common denominator of (-60)/(-16)*(-21)/15 and (-26)/3 + (-4 - -5).
12
What is the smallest common multiple of 5 and 41/4 + (-2)/8?
10
Let n(v) = -v**2 + 7*v - 6. Let d(y) = y**2 + 8*y - 5. Let g be d(-9). Calculate the least common multiple of 12 and n(g).
12
What is the common denominator of (-1)/(-4)*(-139)/(-3) and -49/20?
60
Suppose -k + 1 = -2. What is the common denominator of k + (-300)/8 + 1 and (-26)/12*(-1)/2?
12
Suppose -8*o = -o - 84. Calculate the lowest common multiple of 6 and o.
12
Suppose 7*o - 25 = 2*o. Suppose 2*g - 8 = -f + 8, 0 = o*g + 2*f - 38. Calculate the smallest common multiple of g and 6.
6
Let h = -10955/932 + 1/233. Calculate the common denominator of (-178)/16 - 3/(-6) and h.
8
Let w(v) = -v**2 + 7*v + 2. What is the least common multiple of -1 + 1 + (1 + -2 - -3) and w(6)?
8
Suppose -3*w + 2*h + 30 = 0, 0 = 4*w + 3*h - h - 26. Suppose -5*d = -13 - 37. Calculate the lowest common multiple of w and d.
40
Let c(b) = 4*b. Let p be c(-2). Let d = -6 - p. What is the least common multiple of d and 2?
2
Let r = -17/12 - -181/12. Calculate the common denominator of r and 77/16.
48
Let o = -7057/4 + 1782. What is the common denominator of o and (-98)/6 - 15/((-15)/2)?
12
Let s be (-12)/(-21) - (-1524)/28. Let d = -33 + s. What is the lowest common multiple of d and 18?
198
Let o(d) be the first derivative of d**2/2 - d + 1. Suppose 1 = -3*y + 4. Calculate the least common multiple of o(5) and y.
4
Suppose -2*v + 3*d = -29, -v = 5*d - 2*d - 1. Let u be ((-4)/6)/((-1)/3). Suppose u*y = 3 + 33. Calculate the smallest common multiple of y and v.
90
Suppose -7 = 3*v - 2*f + 11, -7 = -2*v - 5*f. What is the smallest common multiple of (3 + v)/((-2)/20) and 3?
30
Calculate the common denominator of (-369)/(-45) + -8 + (-587)/(-90) and 125/42.
126
Let t(a) = -a**2 - 17*a + 3. Let c be t(-11). Let h = -1/4403 - -127696/39627. Find the common denominator of 6/(-4*3/c) and h.
18
Let d(m) = -m**3 - 7*m**2 + 8. Let j be d(-7). Find the common denominator of ((-12)/(-55))/((-6)/15) and 146/j*(-5)/5.
44
Let d(h) = h**3 - 6*h**2 + 4*h + 3. Let u be d(5). Let z be 4/u*(-9)/18. Calculate the least common multiple of 6 and z - (-15 + (3 - 3)).
48
Let o = -33 - 594. Let n = 5164 - 92893/18. What is the common denominator of (-1)/(-3) + o/(-36) and n?
36
Calculate the least common multiple of 48 and (-1025)/(-164) + 2/(-8).
48
Let x(r) = -r**2 + 1. Let h(s) = -3*s**2 + 4. Let c(l) = -3*h(l) + 8*x(l). Calculate the smallest common multiple of 2 and c(4).
12
Let p(w) = -5*w**2 + 20*w + 23. Let i(s) = -4*s**2 + 19*s + 22. Let g(t) = 6*i(t) - 5*p(t). Calculate the least common multiple of 3 and g(-13).
12
Let a = -5 + 8. Let j be ((-44)/3)/((-1)/a). Suppose 4*x = 4 + j. Calculate the least common multiple of 16 and x.
48
Suppose 54 = 4*k + 14. Suppose k - 4 = 2*q. Find the common denominator of 2/q + (-238)/(-66) and -33/8.
88
Suppose -4*l - 1 = -5*v, 4*v = 2*l - 1 + 3. Calculate the smallest common multiple of l and 2.
2
Let d = 2279/11 + -209. Find the common denominator of 89/2 and d.
22
Let o = 6 - 6. Suppose -26 = -4*b + 3*f - f, o = 4*f - 12. Let u = b + 1. Calculate the least common multiple of 10 and u.
90
Let v(k) = -5*k**2 - 4*k + 11. Let o(x) = 6*x**2 + 3*x - 10. Let q(g) = 4*o(g) + 5*v(g). Calculate the lowest common multiple of 12 and q(-7).
132
Suppose -3*i - n + 20 = -5*n, n = 1. Let j = -31 + 33. Calculate the smallest common multiple of i and j.
8
Find the common denominator of -91/6 and (-6 - -7) + 85/42.
42
Suppose 2*q - 35 = -3. Calculate the least common multiple of 10 and q.
80
Let b(z) = -524*z + 1. Let w be b(3). Let g = w - -6233/4. What is the common denominator of g and -65/4?
4
Let a = 6 + -6. Suppose a = 3*t + 15, 3*n - 22 = 4*t + 34. What is the least common multiple of -1 - 1 - n/(-2) and 2?
4
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