543/688 - 63/172. Find the common denominator of -67/12 and t.
48
Suppose 0 = -3*n - 5*b + 11, -3*b + 3 = 5*n - 10. What is the least common multiple of n and 9?
18
Let d(v) = v + 8. Let c = -15 - -21. Let n be d(c). What is the common denominator of ((-2)/4)/(n/(-52)) and 33/4?
28
Let i = -4285/4 + 1065. Find the common denominator of 309/(-54)*(-6)/(-4) and i.
12
Let l = -1 + 5. Suppose k + l*k - 80 = 0. Calculate the lowest common multiple of k and 4.
16
Let c = 13242829/66 - 571150/3. Let m = 10269 - c. Calculate the common denominator of m and 27/22.
22
Suppose -4*a + 25 = -5*o, 4*a + 22 = -5*o - 3. Let x(j) = -2*j - 6. Calculate the least common multiple of x(o) and 1.
4
Suppose 5*l + 0 = 25. Suppose -3*g + 16 = -g. What is the lowest common multiple of l and g?
40
Find the common denominator of 5/18 and (-651)/(-144) + 1/6.
144
Let m be 30/35 - (-2)/14. Let v = m - -5. Calculate the lowest common multiple of v and 9.
18
Let i(v) = 9*v**3 - 2*v**2 + 2*v - 1. Let t(a) = a**2 + 3*a + 1. Let f be t(-3). What is the least common multiple of i(f) and 22?
88
Let k(x) = -3*x**2 - 1 + 21*x**3 + 13*x**3 + 4*x**2. Let m be k(1). Suppose -5*h = 2*p - 131 - m, 3*h - 95 = -2*p. Find the common denominator of -28/3 and h.
3
Let n = 16767/3112 - 5/389. Find the common denominator of (-83)/4*(-1)/2 and n.
8
Let q(f) = 6*f**2 - f - 4. Let g be q(4). Find the common denominator of ((-2)/(-36))/((-1)/(-64)) and ((-7)/(252/g))/(-1).
9
Suppose 7*z - 3*z + 16 = 0, 5*z + 50 = 5*n. Let k(x) be the first derivative of x**2/2 + 2. What is the least common multiple of 14 and k(n)?
42
Suppose 2*o - 2 = 2, -4*o = 3*p - 23. Suppose 79 + 21 = p*l. Suppose z = 3*n - 2*z - 42, 0 = n + 2*z - 2. What is the lowest common multiple of l and n?
20
Let s(o) = 2*o**2. Let t be s(2). Suppose 0 = 3*v + t - 20. Suppose 2*q - 5*q = 2*l + 4, -4*l - 4 = v*q. What is the lowest common multiple of 5 and l?
5
Find the common denominator of 56/(-2) - (-3)/(-2) and -25/2.
2
Let r be ((-33)/(-10))/((-4)/17). Let b = -72/5 - r. Calculate the common denominator of 17/8 and b.
8
Suppose 2*f - g + 17 + 203 = 0, -3*f + 4*g = 320. Let y = f + 51. What is the common denominator of -22*(-2 + y/(-36)) and -99/16?
144
Let q be ((-132)/(-18))/((-4)/(-6)). Let w = 9 + q. Calculate the lowest common multiple of w and 10.
20
Let w = -742/17 - -2735/102. What is the common denominator of 17/10 and w?
30
What is the least common multiple of 22 and 1 - (-45)/(-10)*-2?
110
Suppose -7*n = -3*n - 20. What is the least common multiple of 11 and n?
55
Let q = -30 - -50. Calculate the lowest common multiple of 12 and q.
60
What is the lowest common multiple of 7 and 1*(14/12 - 3/18)?
7
Let u = 399/176 + -3/176. Let m = -47357/12 + 3940. What is the common denominator of m and u?
12
Suppose 0*v - 3*v + 13 = 4*d, -3*v - 23 = -5*d. Calculate the least common multiple of d and 6.
12
Find the common denominator of (-2794)/(-66)*2/(-8) and 49/72.
72
Let h = 9 + -6. What is the lowest common multiple of (h - 1)/2 - -21 and 6?
66
Let q(z) = -2*z**2 + 3*z + 4. Let o be q(3). What is the common denominator of o/20*-25*6 and 33/10?
10
Let s = -2509/114 - -10/57. Calculate the common denominator of s and 24/11.
66
Let w = 589891/27870 + 4/4645. What is the common denominator of w and -1/12?
12
Suppose -7*v + 8*v = -4*t + 5, 7 = 3*v + 4*t. Suppose -6 = 2*l - 2*d - 28, 12 = 2*l + 3*d. Calculate the least common multiple of l and v.
9
Suppose -14*k + 13*k + 20 = 0. Calculate the least common multiple of 34 and k.
340
Calculate the lowest common multiple of 19 and (1/(-3))/((-2)/18).
57
Suppose -2*y = -0*i - 3*i - 39, 3*y + 2*i = 65. Calculate the lowest common multiple of 8 and 69/21 - 6/y.
24
Let t(g) = -g - 6. Let w = -1 + -5. Let p be t(w). Suppose 4*k + 4 = p, -5*x - 2*k = 3*k - 5. Calculate the lowest common multiple of 4 and x.
4
Suppose -3*o + 1 = -5*j, -4*o + 15*j - 10*j = -8. Suppose 3*r - 11 = 2*r. What is the smallest common multiple of o and r?
77
Let r be 3/(-1)*160/(-12). Suppose o + 4 = 0, c + 3*o = 3*c - r. What is the smallest common multiple of 5 and 1*(c/2 + -2)?
5
What is the smallest common multiple of 6 and ((-2)/(-4))/(14/252)?
18
Suppose -s - 6 = -2*s. Let x = 12 - s. Let h(v) = 13*v**3 - 2*v**2 + 1. Calculate the least common multiple of h(1) and x.
12
Let k = 35311/14 + -2524. Calculate the common denominator of -9/14 and k.
14
Suppose 0 = 2*q - 37 - 3. What is the smallest common multiple of q and 40?
40
Let t be (0*(-1)/(-2))/1. Let l = t + 2. Calculate the least common multiple of 10 and l.
10
Let s = 29 - 27. Let c(y) = -y**2 - 9*y + 10. Calculate the smallest common multiple of c(-9) and s.
10
Let w = -5 - -5. Suppose 2*a - 3*a + 1 = w. Find the common denominator of 54/5 and -1 + a/(9/237).
15
Let y = -3 + 8. What is the lowest common multiple of y and 2?
10
Let i(a) be the first derivative of -a**3/3 - 7*a**2/2 - 5*a + 2. Calculate the lowest common multiple of 5 and i(-6).
5
Let s = 10 - 9. What is the smallest common multiple of 11 and s?
11
Let k = 6 + 0. Let s be (-30)/9*(-9)/k. What is the common denominator of 2/s*670/16 and -41/22?
44
Suppose -929 = 2*x - 5*f, -4*f = 17 - 5. Find the common denominator of (x/288)/(1/3) and (-214)/36 + (-4)/6.
36
Let z be (56/(-110))/((-1)/(-355)). Let l = z - -36895/198. Find the common denominator of 23/10 and l.
90
Let h be (-184892)/(-64) - (-6)/(-4). Let a = h + -2886. Find the common denominator of a and (-250)/(-96) + (-2)/3.
16
Let j = 1/9054 - -160706/22635. What is the common denominator of 43/20 and j?
20
Suppose 0 = 4*u - 2*v - 32, v = 2*u - v - 12. Calculate the smallest common multiple of 34 and u.
170
Let c(y) = y**2 - 23*y - 5. Let r be c(13). What is the common denominator of (144/r)/(2/3) and -12/5?
5
Let r = -20 - 138. Let i = -86 - r. Suppose 2*o = -2*o + i. Calculate the least common multiple of o and 16.
144
Let m = -26863 - -644575/24. Calculate the common denominator of -1/33 and m.
264
Let p = -321 + 2475/8. Calculate the common denominator of (52/10)/((-16)/28) and p.
40
Let z(u) = -2*u - 2. Let o be z(-2). Suppose v + o*g - 13 = 0, 0*g + 3*g = -5*v + 51. What is the lowest common multiple of v and 7?
63
Let i = -15/448 + -26611/1344. Calculate the common denominator of -17/12 and i.
12
Let c be 3/(-4) - (-53)/(-4). What is the least common multiple of (2 - 15/6)*c and 10?
70
Let o(x) = -308*x - 6. Let k be o(-5). Let c = k - 10700/7. Find the common denominator of c and -39/8.
56
Find the common denominator of 3/4 and ((-92)/(-18))/((-952)/(-84)).
204
Let u = 0 + -1. Let k(x) be the first derivative of -21*x**4/4 - x**3/3 + 2. What is the lowest common multiple of k(u) and 2?
20
Suppose 0*a - a = -4*v + 27, 1 = a. Let m = v + 11. Suppose x - 7 - 19 = 2*d, -5*x = 2*d - 82. What is the least common multiple of x and m?
18
Let b(l) = -3*l - 6. Let h be b(-4). Suppose -u + 2*v - h*v = -28, -3*v + 31 = 2*u. Suppose y + 0*y = u. What is the smallest common multiple of y and 16?
16
Let r = 69553/10 - 6946. Calculate the common denominator of r and (-1)/(-1)*(-39)/7.
70
Suppose 4*p - 8943 = -2183. Let a = -3445/2 + p. What is the common denominator of a and -43/3?
6
Suppose -3*h = 2*h + 125. What is the common denominator of 10/h - (-101)/(-60) and -21/22?
132
Let n be ((-363265)/16)/((-7123)/4). Let x = n - -2/7123. Let d = 6797 + -40661/6. Find the common denominator of d and x.
12
Suppose 3*y - 2*l = 31, 0*l + l = -5*y + 43. Suppose 0 = -0*g - 2*g + 8. Suppose 0 = -3*u + 14 + g. Calculate the lowest common multiple of y and u.
18
Let i(w) = -w**2 - 5*w - 3. Let z be i(-4). Let f(a) = 79*a**3 + a**2. Let m be f(z). Suppose -m = -3*h - h. Calculate the least common multiple of 16 and h.
80
Let i be (-1 - 4/2) + 25. What is the common denominator of 26/11 and (-4)/i - (-8850)/396?
66
Suppose -7*j + 35 = -2*j. Calculate the least common multiple of j and 3.
21
Find the common denominator of (-1)/(-3)*(-3)/(-2) and 1/4*(-522)/(-12).
8
Let v be (3 - 4)*(-34)/2. Let n be (-3 - -2)*3*v. What is the least common multiple of 18 and -1 - 2*n/6?
144
Let u = 8 - 4. Let m(a) = a**3 - 3*a**2 - 2*a - 3. Let k be m(u). Find the common denominator of (-2)/k*(-1470)/48 and 73/18.
36
Suppose -5*f = 20, -2*x + 3*f + 24 = -36. Suppose -16 = -2*o + x