 l.
36
Let l(v) = -v. Let y be l(2). What is the common denominator of (-53)/(-8) + -2 + y and -52/11?
88
Let i(c) = -4*c - 3. Let n be i(-4). Suppose 4*b - n = 3. Calculate the least common multiple of 2/(-8) - (-33)/b and 22.
88
Let g be 1/(-4) - (-1260)/(-16). Let x = -188 - g. What is the common denominator of -101/2 and (0 - 2)*x/(-44)?
22
Let i = -89 - -131. Suppose -5*q - 4*l + i = 0, 3*q - 12 = -q + 4*l. What is the lowest common multiple of q and 2?
6
Suppose -2*k + 6 = -0. Suppose 0 = 3*p - p + k*c - 25, -2*c - 18 = -3*p. What is the least common multiple of 1 and p?
8
Suppose 23*f - 33*f = -100. Let v = 16 - 3. Calculate the lowest common multiple of v and f.
130
Let c = -79 - -475/6. What is the common denominator of (-185)/(-25) + (-3)/(-2) and c?
30
Let a = 27 - 25. Find the common denominator of -55/13 and a/(-6)*(-776)/(-16).
78
Let w be (-3)/(9/30)*-1. Calculate the lowest common multiple of w - (5 + 0 + -3) and 2.
8
Let c(q) = -q + 12. Let b be c(10). Suppose 31 = b*w + 11. What is the least common multiple of (-64)/(-6) - 8/12 and w?
10
Let b = -343/4 + 88. Find the common denominator of -145/18 and b.
36
Suppose 11*r - 15*r = -80. What is the smallest common multiple of r and 9?
180
Let j = -3418771/1286866 - -13/10814. Let k = j - -19/7. Let g = 25/136 - k. What is the common denominator of -49/12 and g?
24
Suppose 2*i = 5*o + 7, 2*o - 3*o + 25 = 4*i. Let k = -16 + 15. What is the smallest common multiple of ((-2)/(-2) - k) + 6 and i?
24
Suppose 4*v = 4*h - 6 - 6, -3*h - v - 3 = 0. Calculate the common denominator of (-1)/(h - 7/41) and 123/(-6) - 9/(-12).
28
Let s(z) = -z + 14. Let p be s(13). Calculate the common denominator of -50 and (0 + 45/4)/p.
4
Let x(l) = -3*l - 7. Let d be x(-4). Suppose -t = 1 - d. Calculate the least common multiple of t and 8.
8
Let a = 5 - 0. Suppose -5*q = -25, q - 4*q = a*c - 25. What is the smallest common multiple of 5 and 0/(c/(-2)) - -2?
10
Let r = -5/87 + 7415/348. Find the common denominator of r and (21/4)/((-30)/(-100)).
4
Let q = 5741/1164 - 3/194. What is the common denominator of q and 11/54?
108
Let g = -1911/2 + 3747/4. Calculate the common denominator of 57/22 and g.
44
Calculate the common denominator of (-55)/(-30)*(0 + -8) and -53/11.
33
Let i(v) = v**2 - 7*v - 5. What is the lowest common multiple of i(8) and (-5 - -2) + 126/7?
15
Suppose -2*m = a - 2 + 41, -a + 2*m = 51. Let o = 10969/10 + -1095. What is the common denominator of (-4)/18 + (-136)/a and o?
10
Let c be (-1180)/16 + 2/(-8). Find the common denominator of c/(-10) - (-4)/10 and -19/7.
35
Suppose q = -3*w + 2*q + 30, 5*q - 21 = -4*w. Calculate the least common multiple of 7 and 5/((-25)/w)*-5.
63
Suppose -2*g + 3*m = -20, -5 = 2*g + 3*m - 1. Calculate the lowest common multiple of g and 18.
36
Let d = 3/1439 - 130997/23024. Find the common denominator of d and 21/22.
176
Let w = 9 - 7. Let n(v) = 5*v**2 - 2. Let g be n(3). Calculate the common denominator of 55/8 and (-8)/(-12)*g/w.
24
What is the common denominator of 3/(-122)*25/30*-8 and -45/8?
488
Let r(q) = -4*q**2 + 12*q**2 + 3*q**3 + 10 - 2*q**3. What is the lowest common multiple of 6 and r(-8)?
30
Suppose -7*b = -82 - 58. Calculate the least common multiple of 4 and b.
20
Let h = 48 + -21. Let c = -16 + h. Suppose -4*r = 5*v - 16, -3*v - 5*r + 5 = -2. What is the lowest common multiple of v and c?
44
Suppose 2*o + l = o + 5, -4*l = 0. Suppose -3*b = 3*r - 78, -5*b - 85 = -5*r - b. What is the lowest common multiple of o and 0 - r/6*-2?
35
Let i = -930 - -2722/3. Find the common denominator of i and 74/33.
33
Suppose 2*g - 48 = -2*g. Suppose y = -d - d, -g = -4*y + 4*d. Suppose 90 = y*p + 3*p. What is the least common multiple of p and 6?
18
Suppose -5*k + 32 = 2*b, 0*b + 2*b = -4*k + 26. What is the least common multiple of 12 and k?
12
Suppose 0 = -3*u - 0*u - 4*c + 21, 5*u - 4*c - 67 = 0. Calculate the smallest common multiple of u and 11.
11
Let t = -2 - -1. What is the least common multiple of 1/t + 12 - 2 and -7*1*2/(-2)?
63
Suppose -91 = -4*r - 11. What is the smallest common multiple of r and 14?
140
Suppose 3*b + 2*b - 4*w - 285 = 0, -w + 114 = 2*b. Suppose 51 = 3*k - b. Let y = k + -24. What is the least common multiple of 4 and y?
12
Let h = -20222 - -1941287/96. Calculate the common denominator of -93/4 and h.
96
Let u be (0 - -1)*-2 + 2. Suppose -5*r + 15 - 55 = u. Let c = r - -16. Calculate the least common multiple of c and 20.
40
Let o(r) = r + 5. Let s be -3 + (0 + 1 - 1). Let g be o(s). Suppose 0 = -x - g*x + 18. Calculate the smallest common multiple of 5 and x.
30
Let a = 359/36 - -5/18. Calculate the common denominator of -13/10 and a.
20
Let i(j) = -j**2 - 5*j - 3. Let z be i(-4). Calculate the common denominator of (-22)/4*z/(-4) and -15/8.
8
Let j(s) = s**3 + 6*s**2 - 7*s - 6. Let d be j(-7). Find the common denominator of 5/d*27/(-12) and (-11)/2*(-5)/(-3).
24
Let r = -4 - -10. Let s(c) be the first derivative of -c**4/4 - 10*c**3/3 - 4*c**2 + 11*c + 1. What is the lowest common multiple of s(-9) and r?
6
Let j = -88 - -144. What is the common denominator of 22/j - 3/12 and 1510/198 - 16/88?
63
Calculate the common denominator of -19/5 and (-14)/77 - 2427/264.
40
Let r = 148235/14 + -10581. Suppose 2*g - 51 = -3*u, 5*g + 72 = 5*u + 4*g. Calculate the common denominator of r and (1071/150)/((-18)/u).
140
Let p be 4*3*2/6. Suppose -m - o = -p, 2*m - 16 = 3*o - 3. Suppose 3*u - m = -2*u. What is the smallest common multiple of u and 1?
1
Let l = -55 - -237/4. Find the common denominator of (1/(-12))/(2/(-92)) and l.
12
Calculate the least common multiple of 5 and (-130)/(-6) + 26/(-39).
105
Suppose 2*n = -0*n. Suppose 5*k = -0*k + 3*w + 41, n = k - 3*w - 1. Calculate the lowest common multiple of k and (-2 - -7) + 0 - 1.
20
Let g = -3313 + 19805/6. Calculate the common denominator of g and -51/22.
66
Let l be 2 - (-16)/(-2) - -2. Let x(p) be the second derivative of -2*p**3 - 3*p**2/2 + 2*p. Calculate the common denominator of -47/7 and x(l).
7
Let d(t) = -12*t - 1. Let b be (1*(2 - -4))/1. Suppose -x + b = -0*x. What is the smallest common multiple of d(-1) and x?
66
Let z = 3/130 - -443/520. Calculate the common denominator of 59/4 and z.
8
Suppose -4*a + 15 = 7. Suppose a*n + 16 = -24. Calculate the common denominator of (-358)/n - (-4)/(-10) and -7/4.
4
Calculate the lowest common multiple of 7 and (-8)/3*3/(-2).
28
Let j(z) = z - 1. Let w be j(4). Suppose 0 = 4*r + f + 186, 231 = -5*r + f - w*f. What is the common denominator of r/5 + (-1)/(-1) and -8/5?
5
Let c = -20 - -32. Suppose -z = -4*a + 36, 2*a = -0*z - z + c. What is the least common multiple of a and 20?
40
Let i be 8 - -9*2/(-6). Suppose -i*h = -6*h + 2. Calculate the smallest common multiple of h and 12.
12
Let v(h) = -2*h**2 + 21*h - 5. Calculate the smallest common multiple of 16 and v(9).
176
Let c be 3/(-5) - 127/5. Calculate the common denominator of 101/8 and ((-4)/(-36))/(2/c).
72
Let z(u) = u + 8. Let b be z(-8). Suppose 3*y - 12 = -0*y, -4*j + 5*y - 16 = b. Suppose 3*v - j = 11. What is the smallest common multiple of v and 2?
4
Let u = -118 - -127. Calculate the least common multiple of 78 and u.
234
Let a = 37 + -2. What is the common denominator of a and -52/11?
11
Let h = 95783/12 + -7974. Find the common denominator of -143/24 and h.
24
Suppose -4*k + b + 0 = -28, -4*b = 5*k - 14. Suppose 0 = -0*p + 2*p - 12. Calculate the smallest common multiple of p and k.
6
Suppose 5*c + 31 = 241. Calculate the smallest common multiple of c and 27.
378
Let c be 25/(-3) + 2/(-3). Let t = -48151/2116 + 3/529. Calculate the common denominator of ((-6)/8)/(c/98) and t.
12
Let t = 817/2 - 3634/9. Let j = -4137 + 82839/20. Calculate the common denominator of t and j.
180
Let n(o) = o**3 + 5*o**2 - 4*o + 2. Suppose -3*v + 2*v + 6 = 0. Suppose 8 - v = s. What is the smallest common multiple of n(-5) and s?
22
Let o be 1 + -3*2/(-6). Suppose 9 = 3*u + 5*f, o + 2 = -5*u - 2*f. Find the common denominator of -23/11 and -20*(-3)/(-9) + u.
33
Let o = 26 - 12. What is the smallest common multiple of 6 and o?
42
Let h = -1 + 33. What is the smallest common multiple of 22 and h?
352
Suppose 0 = -p + 3*s + 4, -5*p - 4*s + 18 + 2 = 0. What is the smallest common multiple of 42