he common denominator of 83/21 and a?
21
Let r = 2/2051 - -2331983/4102. Let o = r + -609. What is the common denominator of (-1)/(-4) - (-482)/40 and o?
10
Suppose -u + 26 = -0*u + 5*w, 0 = 4*w - 16. Let f(s) = -4*s**2 + s + 3. Let v be f(2). Let b = v - -19. Calculate the smallest common multiple of b and u.
24
Suppose -n = -0*x - 3*x - 51, x = 3*n - 137. What is the least common multiple of 54 and n?
270
Calculate the common denominator of -71/60 and 8/(-32) + (231/40)/(-3).
120
Let m = -2347/3834 - -2/1917. Calculate the common denominator of m and (-6)/2 + 7 - 31/(-18).
18
Suppose -5*o + 34 + 31 = 0. Let y = o - 8. Calculate the least common multiple of 9 and y.
45
Let m = -626/63 - -119/9. Let d = 8241/4 + -2071. What is the common denominator of m and d?
28
Suppose 141 = 4*a - 403. Calculate the common denominator of (-10)/(10/2) + a/66 and -19/3.
33
Suppose -45*k = -10*k - 1890. What is the smallest common multiple of k and 81?
162
Let p = 29 - 11. Let d be 21/2*156/p. Calculate the common denominator of 40 and d/5*(-10)/12.
6
Let l(z) = z - 4. Let x be l(-1). Calculate the smallest common multiple of (1 + (-12)/5)*x and 11.
77
Suppose 2*a = 3*h + 19, 28 + 4 = 3*a - h. Let m be (378/12)/7 - 6/4. Let o(d) = 2*d**2 - 4*d + 2. Calculate the smallest common multiple of o(m) and a.
88
Suppose -2*c + 3*y + 2*y + 91 = 0, 0 = -2*c + 2*y + 82. Let l = 70 - c. What is the lowest common multiple of l and 8?
32
Let a(t) = -2*t - 6. Suppose 0*y + 260 = 13*y. What is the least common multiple of y and a(-5)?
20
Suppose 6*s - 2*s = -5*f + 832, -4*s - 4*f = -832. What is the least common multiple of s and 9?
1872
Calculate the common denominator of (-7)/(-35) - 183/(-410) and -10 - -5*187/121.
902
Let u(j) = -34*j + 58. Calculate the smallest common multiple of 15 and u(1).
120
What is the common denominator of 53/78 and 1 + (5 - 155/20)?
156
Suppose b + 3 + 13 = 0. Let h = 32 + b. Let i(p) = -p**2 - 6*p + 10. What is the least common multiple of h and i(0)?
80
Let r be -4 - (-804)/(-3)*-1. Suppose 8*j - r = -4*j. Calculate the least common multiple of 42 and j.
462
Find the common denominator of (-494)/(-66) - 70/14 and (3/(-9))/(3/(-47)).
99
Let a = -5 - -13. Let m(y) = a*y + 4 - 3 - 53*y**2 + 46*y**2 - y**3. Calculate the least common multiple of m(-8) and 16.
16
Let a(c) = -c**3 - 6*c**2 - c + 4. Let f be a(-6). Let q = f - 11. What is the least common multiple of 12 and (-4 + 4 + -2)/q?
12
Let d(t) = t + 6. Let y be d(-8). Let j = 3 - 7. What is the common denominator of ((-291)/j)/((-12)/y) and -37/16?
16
Let r = -13 + 15. Let a be (-1 + 2)*r - 2. Suppose a*p = -p + 2. What is the lowest common multiple of 6 and p?
6
Let q = -148 - -192. What is the lowest common multiple of 24 and q?
264
Suppose b + 14 = 14*f - 11*f, 18 = 3*f + 3*b. Calculate the least common multiple of f and 171.
855
Let d = 7687189/2468 + -12459/4. What is the common denominator of d and 35/18?
11106
Suppose 0 = -5*v + 4*d - 1 + 56, -3*d - 11 = -v. Let k be 2/((-20)/(-45))*20/(-15). Let u = k + v. What is the lowest common multiple of 7 and u?
35
Let c(y) = y**3 + 16*y**2 + 16*y + 20. Let h be c(-15). Suppose 0 = h*f + z - 6, 6 = -4*z - 10. Calculate the least common multiple of 18 and f.
18
Let x = -94 + 189/2. Find the common denominator of x and 79/8.
8
Let q = -658 + 3246/5. Let w be ((-18)/(-4) - 0) + 40/80. Calculate the common denominator of q and 5/100*-51 - 1/w.
20
Let p(m) = m**2 + 10*m + 22. Let i be p(-12). Suppose 5*h + a - i = 2*a, -50 = -5*h + 5*a. Let r = 5 + 0. What is the smallest common multiple of h and r?
45
Suppose -4 - 11 = 5*a. Let s be (3 - -3) + a + 0. Suppose s*x - 5 = 7. What is the lowest common multiple of x and 18?
36
Let g be (-50)/(32/(-66) - (-10)/15). Let f(p) = 4*p**2 - 3*p. Calculate the least common multiple of (-6)/(-8) + g/(-44) and f(2).
70
Let w(v) = 42*v**3 - 2*v**2 + 1. Let x be w(3). Let d = x - 6593/6. What is the common denominator of d and 2/(-5) + (-63)/30?
6
Let s = -6 + 10. Let o be (35/(-28))/((-1)/s). Calculate the lowest common multiple of (7/1)/(o + -4) and 3.
21
What is the common denominator of -9 + (-130)/(-15) + (-2)/(-8) and 3/(-12)*62/(-3)?
12
Calculate the common denominator of (-10)/(-92)*(-20)/(-100) and 172/(-32) + (-1 - -8).
184
Suppose 7*q = 8 + 6. Let d(s) = 4*s + 2. Let r be d(2). Suppose z + z = r. What is the least common multiple of z and q?
10
Let q be (267/105 - 1)/(28/(-180915)). Let i(m) = 4987*m + 1. Let g be i(-2). Let v = g - q. Calculate the common denominator of -85/16 and v.
112
Let k(j) = -6*j - 4. Suppose 0 + 3 = -f. Let v(r) = -r + 11. What is the smallest common multiple of v(-9) and k(f)?
140
Let s = 186 + -142. Calculate the least common multiple of s and 4.
44
Let k = 44 - 36. Let z = 98 + -58. Suppose -z = r - 5*r. What is the smallest common multiple of k and r?
40
Suppose -6*g - 24 = -7*g. What is the common denominator of (-98)/g*95/133 and (-171)/30 + (-2)/(-5)?
60
Let w = -4951/2004 + 9/167. What is the common denominator of w and -117/10?
60
What is the common denominator of 73/10 and (2/100)/((-24)/3210)?
40
Suppose 17*k = 12*k + 40. Let t(c) = 2*c - 12. Calculate the lowest common multiple of 9 and t(k).
36
What is the lowest common multiple of ((-168)/36)/14*-216 and 9?
72
Let f = 77/15 - 29/60. Let s be (-19 + 3)*(-2)/548. Let l = 4505/274 + s. Calculate the common denominator of f and l.
20
Let w be (-1 - 1)*(-49)/14 + 1. Suppose 2*p = -2*d + 320, 2*p = 2*d - 446 + 126. Calculate the common denominator of 68/3 and 1/w - (-204)/d.
15
Let z(v) = -v**3 + 8*v**2 - v + 8. Let y be z(8). Suppose y*a + 82 = -2*a. Let q = -34 - a. Calculate the lowest common multiple of q and 11.
77
Let a(d) = 16*d**2 + d - 187. Calculate the lowest common multiple of a(-9) and 20.
1100
Let j(z) = 40*z**2 + 6*z + 1. Calculate the least common multiple of 15 and j(-1).
105
Let o be (-1 + 0)/((-6)/(-24)). What is the common denominator of 97/30 and (1314/(-108))/(18/o)?
270
What is the smallest common multiple of 22 and -4 + 2592/(-6 - -8) + -4?
14168
Suppose -k - k = 360. Calculate the common denominator of (-7)/(-63) - 622/k and 103/18.
90
Suppose -3*p = x + 2*p + 4, 4*x - 3*p = 30. Calculate the least common multiple of x and (10/15 - (2 - 2))*6.
12
Let i(h) = -2*h + 3. Let m be i(12). Let s be 4/(-14) + 267/m. What is the lowest common multiple of (-39)/s + (0 - -1) and 8?
8
Let x be 2/(-6)*-3 - -12. Let d = -27 + x. Calculate the common denominator of 19/2 and 1 + -4 - (d + -1).
2
Let z = -3 + 13. Let o = -6 + 28. What is the lowest common multiple of o and (-440)/(-16)*(24/z)/3?
22
Suppose 3*p + 11 = -5*z, -4*z + 3*z + 2 = 2*p. Find the common denominator of -127/12 and (-148)/195 + (34/10 - p).
156
Let n(d) = d**3 - 10*d**2 + 11*d - 20. Let z be n(9). Let o = 22 - 16. Let y = o + z. What is the lowest common multiple of 14 and y?
28
Let s = -6 - -1. Let q = s - -13. Suppose 4*d - 3*m = 28, 4*d = 2*m + 25 - 1. Calculate the smallest common multiple of q and d.
8
Suppose -u = -4*u + 30. Suppose 3*y + 55 = 8*y - 5*a, 4*y + 4*a = 36. What is the smallest common multiple of y and u?
10
Let i(n) = -2*n + 2. Let r be i(-10). Let v = -5 + r. Suppose 0 = 4*c + 2 + 18, -2*y + v = 3*c. Calculate the lowest common multiple of y and 8.
16
What is the common denominator of 5/12*13653/1110 and (76/166)/(-1 - 0)?
664
Suppose -16*l = -19*l + 15. Calculate the least common multiple of l and 3.
15
Let a(q) = q**2 - 10*q + 11. What is the lowest common multiple of 15 and a(13)?
150
Let g(r) = -r**3 - 8*r**2 + 3*r + 1. Let i be g(-8). Let v = -5 - i. What is the least common multiple of v and 2?
18
Suppose -10*s = -65*s + 440. What is the least common multiple of s and 88?
88
Let t = 29 - 33. Find the common denominator of t*5/(-40) - 85/22 and 61/46.
506
Let j = 1/27 + 313/54. Calculate the common denominator of (20 - 429/22)/(45/(-132)) and j.
30
Let k = 65/153 + -11/17. Let s = -9381/8 - -5593/8. Let u = s - -440. Calculate the common denominator of u and k.
18
Calculate the common denominator of 25/8 and (9 - (-30)/(-4))*(-178)/96.
32
Let c(x) = -1. Let m(s) = -s - 9. Let l(o) = 4*c(o) - m(o). Suppose -45*g + 260 = 20*g. What is the least common multiple of l(5) and g?
20
Let w(m) = m - 4. Suppose h + 8 = 2