d h + (2 + 11)/1.
176
Let v = 3327/8 + -410. Find the common denominator of ((-2)/4)/((-2)/(-3)) and v.
8
What is the common denominator of 127/288 and 3/20*(5 + -1 + 3)?
1440
Suppose -4*q + 4*h + 503 = -h, 0 = 4*q - h - 491. Suppose x = -2*v - 1, 13 = 2*v - 3*x - 6. Calculate the common denominator of v + -1 - q/12 and 39/11.
66
Suppose -32 = -4*f + 2*f - 5*q, -2*f - 8 = -5*q. Calculate the least common multiple of 11 and f.
66
Suppose 0 = -2*l - 28 + 10. Calculate the common denominator of (28/(-15))/(l/(-15)) and 26/9.
9
Let r be (3 - 5)*1/(-1). Suppose 0 = -y + 4 + r. Let w(d) = -2*d - 17. Calculate the lowest common multiple of y and w(-9).
6
Let a = -1012/9 + 20699/180. What is the common denominator of a and -37/16?
80
Suppose 2*y - 6 = 14. Let k be y/15 + (-320)/(-6). Find the common denominator of 113/20 and 1041/k - 2/(-9).
20
Let w = -17 - -8. Let h(p) = -p - 6. Let j be h(w). Suppose -j*n + 16 = n. Calculate the least common multiple of 22 and n.
44
Suppose 3*p - b = -2*b + 36, 0 = 4*p - 4*b - 48. What is the lowest common multiple of p and (-122)/(-14) - (-2)/7?
36
Let z = 32 + -24. What is the least common multiple of z and 40?
40
Suppose -a + 5*a = 8. Suppose -a*q + 4 + 0 = 0. Let p(t) = t**2 - 3*t + 2. What is the lowest common multiple of q and p(4)?
6
Let m = 29 + -18. What is the least common multiple of m and (-4)/6*(-6)/4?
11
What is the common denominator of 13/8 and 3/(-15) + 2639/70?
8
What is the common denominator of -87*(-2 + 132/63) and -11/3?
21
Suppose -3*d = -5*d + 4. What is the least common multiple of d and 7?
14
Let b = 3 + -2. Let f(v) = -2*v**3 - v**2. Suppose -2 = 4*m - 10, -5*m + 14 = -4*c. Calculate the smallest common multiple of f(c) and b.
1
What is the common denominator of 71/(-30) - (-22 + 18) and 67/30?
30
Let j = 55 - 28. Suppose -3*s + j = -0*s. Calculate the lowest common multiple of s and 5.
45
Suppose 3*z + 36 = 2*c, 0 = -2*z - 5*c - 5. Suppose 4*i - 22*i = -108. What is the lowest common multiple of i and 0/(1 + 1) - z?
30
Let l = 3/299 - 13503/4784. Let h = -6561/4 - -72293/44. Find the common denominator of h and l.
176
Let r = -2 + 6. Let q be ((-57)/15)/(r/30). Let h = q - -285/14. What is the common denominator of -32/5 and h?
35
Let o = -17 + 5. Let p = 19 + o. Suppose 3 + p = n. What is the least common multiple of 10 and n?
10
Suppose -122 = -4*k + 2*z, -5*z = 2*k - k - 47. Suppose 4*r = 2*n - 8, 3*n - k = 2*r - 0*r. Calculate the least common multiple of n and 4.
28
Let f = -2 + 1. Let k be (f + -1 - -1) + -220. Calculate the common denominator of 33/16 and 2/(-8) + k/(-44).
176
Let y(g) = 3*g - 5. What is the lowest common multiple of y(5) and 6?
30
Find the common denominator of 22/(-5) + 1 + -1 and (-3)/(-24)*-11 + -3.
40
Calculate the lowest common multiple of 22 and (-300)/(-18)*6/5.
220
Let x = -100 - -557/5. What is the common denominator of x and (-77)/10 - 4/(-10)?
10
Suppose 2*b + 4*i = 29 + 5, 2*b = 3*i + 6. Let z(h) = h**2 + 6*h + 4. Calculate the smallest common multiple of z(-6) and b.
36
Let h = 26 - 77/4. What is the common denominator of h and 99/40?
40
Let j = -3514 - -77273/22. What is the common denominator of j and -137/42?
462
Suppose 2*l - l = 18. What is the smallest common multiple of l and 5/10*(0 - -12)?
18
Let a = -58219 + 292034/5. Let u = -189 + a. Calculate the common denominator of u and -30/11.
55
Let l be (-4 - -3) + 7172 - 2. Let k = l + -114631/16. Calculate the common denominator of k and 39/14.
112
Let s be (-8)/28 - (-46)/14. Suppose -s*n = 2*n - 10. What is the smallest common multiple of 11 and n?
22
Let c be (4 - -5)*(-2)/1138. Let g = c + 24530/3983. Let z = -7271/15 + 2855/6. Find the common denominator of z and g.
70
What is the least common multiple of 5 and (-1)/4*0 + 2?
10
Suppose 18 = 3*r + 3*q, 4*r = -q + 6*q - 3. Suppose v + 2 = r. Let n = 5 - v. Calculate the smallest common multiple of n and 4.
4
Let v = -15377/1250 + 1/625. What is the common denominator of 23/3 and v?
30
Calculate the common denominator of -143/6 and ((-30)/9)/(4/9).
6
Suppose -2*g = g - 24. What is the least common multiple of 13 and g?
104
Let t(s) = -s**3 - 10*s**2 - 3*s - 6. What is the least common multiple of t(-10) and 22?
264
Let o be (-1)/(-3)*(5 + -2). What is the least common multiple of 8 and o*(0 - -14 - 4)?
40
Suppose -4*n - 7 + 27 = 0. Let i = 21 - n. Calculate the least common multiple of 20 and i.
80
Suppose 5*t = 2*t - 48. Calculate the smallest common multiple of 2 and (-2 - -5)/((-6)/t).
8
Let o = 25 + -13. Let x(y) = -5*y. What is the lowest common multiple of x(-4) and o?
60
Find the common denominator of 1/(-4) - 490/(-264) and 121/12.
132
Find the common denominator of 3 + -2 + (-218)/40 and 115/12.
60
What is the least common multiple of -4 - -6 - -3 - -3 and 9?
72
Suppose 4*r - 25 = -r. Suppose -o - g - 13 = -r*o, g - 3 = 0. Calculate the least common multiple of o and 10.
20
Let b = -1390 - -13817/10. Find the common denominator of ((-3)/(-30))/(2/46) and b.
10
Let p = 1 - -10. What is the smallest common multiple of 29 and p?
319
Calculate the smallest common multiple of -2 + -1 + (34 - 1) and 22.
330
Suppose 0 = 4*x - 7*x + 150. Suppose 0 = -p - p + 2*h - 36, 0 = 3*p + h + x. What is the common denominator of 17/20 and 3 - p/12*1?
60
Suppose -q + 3*y = q - 16, -5*y = 2*q - 32. Calculate the lowest common multiple of q and (6/(-9))/(4/(-54)).
99
Suppose 5*p + 120 = 9*p. What is the smallest common multiple of p and 27?
270
Let f = -6 + 16. What is the least common multiple of f and 8?
40
Let o(q) be the third derivative of -q**4/12 - 7*q**3/6 - 2*q**2. Let c be o(-7). Suppose -c*b = -3*b - 56. What is the smallest common multiple of b and 6?
42
Let y = -13255 - -357955/27. Find the common denominator of y and 53/12.
108
Let r(k) = -k**3 - 10*k**2 + 7*k - 2. Let h be r(-8). Let m = 9901/10 - 989. Calculate the common denominator of m and h/28 + (5 - 3).
70
Let d = -14893/652 - -15/163. Calculate the common denominator of (-4)/2 + (-158)/4 and d.
4
Suppose 0 = -11*b + 2*b + 54. Calculate the least common multiple of 88 and b.
264
Let o be (-125)/30*(5 - 0). Let q = o + 23. What is the common denominator of q and -27/4?
12
Let t(i) = -i**3 - 7*i**2 - 2*i - 2. Calculate the lowest common multiple of t(-7) and 2.
12
Suppose -3*d = -2*b - 19, -2*d - 3*d + 4*b = -29. What is the lowest common multiple of 33 and d?
99
Suppose -3*a + 69 = 5*h, -5*h + 42 = -h - 2*a. Calculate the smallest common multiple of h and 52.
156
Let a = 17 + -13. What is the least common multiple of 32 and a?
32
Calculate the least common multiple of (-23)/(-4) - 3*4/(-48) and 15.
30
Let n(j) = -4*j - 12. Calculate the smallest common multiple of 8 and n(-7).
16
Suppose -4*a + 0*a + 4*x = -20, a + 3*x = 17. Calculate the least common multiple of a and 5.
40
Let f = -2 + 12. Suppose -5*i + f = -10. Calculate the smallest common multiple of 8 and i.
8
Let f be (-2)/4 - (-45)/10. Suppose g = 3 + 1. Suppose r = -4*c + f*r + 32, -g*r = -4*c + 32. What is the lowest common multiple of 9 and c?
72
Let f(d) = -d**3 + 7*d**2 - 1. Let z be f(6). Suppose 4*t - 91 = -z. Calculate the common denominator of (-4)/t - 18/231 and -49/8.
88
Suppose 3*z = -5*u + 27 - 2, -37 = -4*u + z. Suppose -6*a - 28 = -124. Calculate the smallest common multiple of a and u.
16
Let f = 76/11 + 431/22. Let b = 34079/7930 - -2/793. What is the common denominator of f and b?
10
What is the common denominator of (-1)/(-2) + (-22)/56 and (-60)/160 + (-1 - 2)*1?
56
Let m(u) = 11*u. Calculate the smallest common multiple of 40 and m(2).
440
Suppose -4*b = 3 - 7, -3*k + 3*b + 3 = 0. Calculate the lowest common multiple of k and 10.
10
Let x = 26171/4488 - -3/1496. Let m = -592 + 1093/2. Calculate the common denominator of m and x.
6
Suppose 4*a - 4*u = 2*a - 2, 5*a + 3*u + 31 = 0. Let m(p) = p**2 + 3*p + 6. What is the least common multiple of 14 and m(a)?
112
Let c(r) = 2*r**2 + r - 3. Calculate the common denominator of c(3) and (-18)/16 - 4/8*2.
8
What is the common denominator of (-40)/(-14)*175/(-90) and (-3)/(-12)*-35*1?
36
What is the common denominator of -113/10 and -1 - (146/4)/(-1)?
10
What is the least common multiple of ((-12)/(-14))/(17/238) and 6?
12
Calculate the common denominator of 1/1