0
Let s = -3365/94 - -14/47. Calculate the common denominator of s and -2 + 58/(-28) + 2.
14
Let b = 75/827 - -12467929/8270. Let q = 1504 - b. Let c = -6/641 - 35207/5128. Calculate the common denominator of q and c.
40
Let r = -1 - -5. Let g(i) = -4*i + 6 + 3*i + 2. What is the smallest common multiple of r and g(6)?
4
Let g = 374/27 - 8017/378. Let x = -139967/10 + 14009. Find the common denominator of x and g.
70
Find the common denominator of 259/44*(-54)/(-63) and 15/16.
176
Let w be ((-12)/7)/(3/(-21)). What is the common denominator of (-137)/w - 6/(-36) and -95/8?
8
Let o be 2/(-5) + 112/(-20). Let c be (4/o)/((-16)/(-49347)). Let q = c - -2050. What is the common denominator of 149/18 and q?
72
Suppose -4*o + o - 8 = -4*p, -o = 5*p - 10. Calculate the lowest common multiple of p and 1.
2
Calculate the common denominator of -25/19 and (-2*(-5)/40)/((-5)/(-94)).
190
Suppose 0*d + 3*d = 4263. Let y = 899 - d. Calculate the common denominator of 40/9 and 1/2 - y/(-24).
36
Let i(r) = r**3 + 7*r**2 - 8*r + 5. Let m be i(-8). Let q = -1 + m. Calculate the common denominator of 132/16*2/q and -37/11.
88
Suppose 0 = 3*n - 2*n - 2. Let o(b) = b + 9. Let g be (-8)/(-6)*(-3 + -3). What is the lowest common multiple of o(g) and n?
2
Let q be (-1 + 9/6)*8. Let c(r) = -r**2 + 6*r - 5. What is the smallest common multiple of c(q) and 4?
12
Let c(z) = -z**3 + 10*z**2 - 8*z + 3. What is the smallest common multiple of c(9) and 22?
132
Let k = -323/2 - -170. Find the common denominator of 1/9 and k.
18
Let o = -1967/5 - -399. Calculate the common denominator of o and -87/2.
10
Let l(w) = -w - 4. Let k be l(-5). Let r(i) = 10*i**3 - 2*i**2 + i. Let q(b) = b - 4. Calculate the least common multiple of q(6) and r(k).
18
Let v(q) = -6*q**3 + 29*q**2 + 41*q - 1. Let l(w) = w**3 - 6*w**2 - 8*w. Let y(h) = -11*l(h) - 2*v(h). Calculate the lowest common multiple of y(-7) and 9.
9
Let f = 27/2621 - -7476957/73388. Let d = f + -862/7. Calculate the common denominator of d and 59/18.
36
Let b = -10 - -18. What is the common denominator of -7/3 and 622/(-24) - b/(-12)?
12
Let n = 33420/13 + -153167/52. Let z = -387 - n. Suppose -5*o - 444 = -214. Calculate the common denominator of z and o.
4
Let c be (17138/(-8120))/(2/4). Let i = -16/203 + c. Find the common denominator of i and -53/8.
40
Suppose 18 - 5 = 2*n + 5*z, -2*z + 2 = 0. Calculate the lowest common multiple of 20 and n.
20
Let n = -2/147 + 1339/1176. Let x(j) = 10*j**3 - 4*j**2 - 6*j - 1. Let y be x(-4). Calculate the common denominator of n and 4/(-18) - y/27.
8
Let v(s) = s**2 - s - 4. Let d be (-2)/3*27/6. What is the least common multiple of 1 and v(d)?
8
Suppose 2*n = n + 10. Calculate the least common multiple of 10 and n.
10
Suppose -5*b = -3 - 2. Let h be 6/10 - (-408)/20. What is the smallest common multiple of b and -1 - (-7)/(h/6)?
1
Suppose 3*n - 4 = 11. Suppose -5*p + q = -0*q - 23, -5*q - 15 = -n*p. Calculate the smallest common multiple of p and 11.
55
Let v(z) = 4*z**3 - z**2 + z - 1. Let w be v(1). Calculate the common denominator of w*-9*(-1)/(-2) and 93/10.
10
Suppose -3*w + 5100 = 2*w. Let q be 1*-1 + w/1074. Let d = 12261/1790 - q. Calculate the common denominator of 17/9 and d.
90
Let i = -131503/44 - -2989. Find the common denominator of i and -5/12.
132
Suppose 2*t - 15 = 9. Find the common denominator of 23/20 and (-261)/(-48) + t/(-8).
80
Suppose 6 + 0 = 5*r + 3*s, 0 = 5*r - 3*s - 24. Let b(h) = -h**3 + h**2 + 4*h - 3. What is the smallest common multiple of (-3)/(-9)*r + 5 and b(2)?
6
Suppose l - 5*h - 5 - 12 = 0, -2*l + 4*h = -16. Suppose 0 = l*y + s - 7, 0*y - 27 = -3*y + 4*s. Calculate the least common multiple of (-1 + 5)*(y + -1) and 14.
112
Let j(p) = p**3 + 8*p**2 - 10*p + 7. Let a be 395/(-45) - 2/9. What is the smallest common multiple of j(a) and 22?
176
What is the lowest common multiple of 26/3 + (-1)/(-3) and 1/(-3) - -1*(-60)/(-18)?
9
Suppose 7*y = -50 + 365. Calculate the least common multiple of y and 15.
45
Calculate the lowest common multiple of 1 + 5/((-20)/(-52)) and 8.
56
Suppose 3*f = -15, 5*f - 19 = -3*p + 4*f. What is the least common multiple of p and 12/(-54) + 20/9?
8
Let c(t) = 3*t - 3. Suppose -22 = 5*q + 38. Let d = 22 + q. What is the smallest common multiple of d and c(3)?
30
Let m = 6 + 8. Let f = -10 + m. What is the lowest common multiple of 8 and f?
8
Let q = -128243/16 + 8020. Find the common denominator of q and 75/8.
16
What is the lowest common multiple of 2 - 4 - -1*20 and 10?
90
What is the common denominator of 119/10 and (-170)/(-55) + 2 + -2?
110
Let o(j) = -j**3 + 8*j**2 - 9*j + 6. Let r be o(7). Calculate the common denominator of 101/4 and (2/r)/(24/318).
16
Let j = 383368 - 80505821/210. Let t = 116/15 - j. Let d = -16/333 - -12577/5328. Calculate the common denominator of t and d.
112
Let d(u) = -u**2 - 6*u + 1. Suppose q - 5*q + 143 = -5*t, 0 = -q - 4*t + 20. Suppose 4*m = q + 16. What is the lowest common multiple of m and d(-3)?
60
Calculate the smallest common multiple of (3/3 - 3)*-1 and 44.
44
Let z(o) = 2*o + 32. What is the least common multiple of 14 and z(-11)?
70
Let t(l) = -l**3 + 7*l**2 - 7*l. Suppose 0*d = -4*d + 24. Let n be t(d). What is the smallest common multiple of 34/4 + n/12 and 11?
88
Let b(g) = 2*g**3 - g**2 - 3*g - 1. Let t be b(-2). Calculate the smallest common multiple of 8 and ((-20)/t)/((-4)/(-18)).
24
Let o = -4 + 8. Calculate the lowest common multiple of o and 1.
4
Let i(k) = -k - 7. Let b be i(-5). Suppose -3*t - 4 = -4*t + 3*y, 4*t = 5*y + 30. Calculate the smallest common multiple of t and ((-21)/b)/((-3)/(-4)).
70
Let b = 16 - -17. What is the least common multiple of b and 21?
231
Suppose -8*g + 45 = -67. What is the least common multiple of 26 and g?
182
Let a = 4 + -9. Find the common denominator of (-1 - (-1)/12)*27 and (1/(-8))/(a/235).
8
Let j(h) = -h**3 - 4*h**2 - h. Let p(k) = 5*k. Let s be p(-1). Let i be j(s). Let q = i - 8. Calculate the least common multiple of q and 10.
110
Suppose -3*n + 10 + 26 = 0. Calculate the lowest common multiple of 24 and n.
24
Calculate the common denominator of (-35)/14*122/(-70) and 23/2.
14
Let l = 3/247 + 11579/2470. What is the common denominator of l and -125/12?
60
What is the smallest common multiple of 3/(-3)*(-16)/4 and 30?
60
Suppose -5*i - y - 2 = -2*i, y + 2 = i. Suppose 3*a - 2*w = 31, -3*a + 0*w - 5*w - 4 = i. What is the lowest common multiple of 11 and a?
77
Let i = -10229/132 - -967/11. Let f = 2729/16 + -171. What is the common denominator of f and i?
48
Let y(p) = -4 + 0 - 2 - 2*p**3 - 6*p**2 + p**3 - 8*p. What is the least common multiple of y(-5) and 2?
18
Let p = 4118691644716/3675 - 1120732439. Let i = p - -3/1225. Find the common denominator of 40/11 and i.
33
Let c be ((-1)/3989)/((-3)/(-15)). Let l = -965403/51857 - c. Let z = l - -3023/117. Calculate the common denominator of z and 20/7.
63
Let j = 3626 - 145049/40. Let k = j - 137/80. Find the common denominator of (-21)/(-49) - 257/126 and k.
144
Let g be (-3)/(-9) - 21/9. Let q = g + 5. Calculate the common denominator of -63/2 and 9/q - (-169)/(-18).
18
Let q(h) = 25*h - 4. Calculate the lowest common multiple of q(1) and 30.
210
Suppose -13 = -o + 3*v, -3*v = 3*o - 37 - 38. Suppose 0 = -4*j - 18 + 98. What is the least common multiple of j and o?
220
Let d = -6 + 9. Suppose 0*f = d*f - 48. What is the lowest common multiple of f and 22?
176
Find the common denominator of 3/10 and (-54)/12 - 4/3.
30
What is the lowest common multiple of ((-33)/(3 - 0) - 1)/(-1) and 18?
36
Let p(z) = z**2 + 3*z - 2. Let c be (3 - (-9)/(-1)) + 2. Let b = 27 + -9. What is the least common multiple of p(c) and b?
18
Let q be ((-157)/645)/((-48)/(-520)). Let j = q - -25/43. Find the common denominator of j and 25/22.
198
Suppose 5*l - 7350 = 4*u, -5*l + u = -3378 - 3972. Let o = -8797/6 + l. Calculate the common denominator of o and 53/5.
30
Suppose 3 = f - 1. Suppose 0*q - 24 = -f*q. Suppose -3*a + a + 5*c - 3 = 0, 3*a = -5*c + 8. Calculate the least common multiple of a and q.
6
Let y = 8 - 14. Let g be 24 + 2 + 2 + y. Calculate the common denominator of (g - -2) + (-2)/4 and 53/4.
4
Suppose n + 144 = -4*w + 23, 5*w + 2*n = -155. Let s = 263221/53 + -4965. Let b = 3274/583 - s. Find th