 - i. Find the common denominator of 14 and (375/12)/(3/i).
6
Let z = 18 + -25. Let q(f) = f**3 + 6*f**2 - 7*f - 11. Let c be q(z). Calculate the common denominator of -65/8 and (-179)/(-18) + 44/c.
72
Suppose -4*g - 25 = -9. Let t(v) = -2*v. Let h be t(g). Suppose 3*a - h = 2*a. What is the smallest common multiple of 6 and a?
24
Let a = 6 - 8. What is the common denominator of -2*3/6 + (-1340)/(-60) and -1 + a - (-134)/(-4)?
6
Let v(a) be the third derivative of -a**6/120 + 3*a**5/20 + 7*a**3/2 - 16*a**2. Calculate the least common multiple of v(9) and 15.
105
Let i be (-363)/22*(-2)/3. Suppose i*r - 4068 = 7*r. Find the common denominator of 53/12 and (r/(-24))/(27/6).
12
Find the common denominator of 103/42 and (-17)/(20*(4 - 2) - 5).
210
Suppose -2*w + 3 + 1 = 0. Suppose 0 = 4*y + h + 1, w*h = 5*y - 2*y + 9. Calculate the common denominator of y/2 - 300/(-16) and 37/26.
52
Let z(h) = -3*h**2 + 3*h + h + h**2 - 4 + 1. Let w be z(2). Calculate the common denominator of -59/8 and (-28)/24*-3 + w.
8
Let m = -678 + 849. Calculate the lowest common multiple of 8 and m.
1368
Let t = -1/1933 - 12833183/7732. Let u = t + 19615/12. What is the common denominator of u and (4/(-8))/(-2*(-9)/462)?
6
Let c = -1032429/169 - -6109. What is the common denominator of -9/91 and c?
1183
Suppose 3*p + 85 = -5*o + 8*p, 115 = -5*o - 5*p. Let k = o + 23. Suppose -9 = -3*n - k*f, n + 2*n = -4*f + 7. What is the smallest common multiple of n and 6?
30
Suppose -26 - 6 = -2*p. Let t = -162 - 28. What is the common denominator of 69/10 and (t/p)/(4 - 3)?
40
Let j = 66 - -68. Calculate the common denominator of (-48 - -45) + 5*j/232 and 31/7.
812
Let n = 13/563 + -30073/10134. Find the common denominator of -2 + 1 + 131/18 and n.
18
Calculate the common denominator of 73/21 and (25/15 + -2)/(28/(-346)).
42
Let j = -45176/75411 - -5/16758. Find the common denominator of -79/90 and j.
810
Suppose 2*r - 44 + 30 = 0. What is the lowest common multiple of 14 and r?
14
Calculate the common denominator of (-363)/(-90) + -1 - 2 and 505/(-45)*(-2 - 15/(-6)).
90
Let i(f) = -f**2 - 13*f - 13. Let h be i(-12). Suppose 1 = -o + 3. Calculate the smallest common multiple of o and (-8)/(h + 0 + -1).
4
Calculate the common denominator of (36594/(-22800))/(30/(-8)) and -14/125.
250
Suppose 0 = 2*k - 2*n + 1 - 5, k = -2*n + 11. Suppose 0*j - k*j = -10. What is the lowest common multiple of 6 and j?
6
Let b = -1538 - -4672/3. Calculate the common denominator of 64/195 and b.
195
Let a = 7697694/23 - 298682529/920. Let n = -121401/20 + a. Let s = -3948 + n. Calculate the common denominator of 67/16 and s.
16
Let n(x) = -5*x**2 - 4*x - 3. Let b be n(-1). Let a = -11 - -23. Calculate the smallest common multiple of (-62)/b + (-2)/(-4) - -2 and a.
36
Let i = -28 - -41. Let d = i - 2. What is the common denominator of d and 59/6?
6
Let h(q) = q**2 + 2. Let y be h(0). Let i = y + 0. Suppose 5*a = -i*j + 20, -a = 3*j - 6*a - 80. What is the smallest common multiple of 2 and j?
20
Let g = -167 + 178. What is the lowest common multiple of (4/(-6))/((-7)/357) and g?
374
Suppose 0 = -4*g - 4*g + 16. Find the common denominator of 152/78 + -1*g/6 and 37/6.
78
Let s = 390/37 - 5389/592. Find the common denominator of s and 73/120.
240
Suppose 61*n = 46*n + 8235. What is the lowest common multiple of 18 and n?
1098
Let o = 185/4 - 36. Let w be 37*549/(-30) - -3. Let t = w + 669. Calculate the common denominator of t and o.
20
Let y(k) = 18*k - 20. What is the smallest common multiple of y(2) and 4?
16
Let r(u) = u**3 - 2*u**2 - 1. Let j be r(3). What is the common denominator of (-146)/j + (2 - 4) and -35/18?
36
Let p(z) = 2*z**2 + z - 2. Let h be p(3). Suppose 2*b + 3*w = h, -4*b + w + 3*w = -28. What is the least common multiple of 2/(-3)*(-49 + 46) and b?
8
Let b = 2 - -3. Suppose -d - 68 = 58. Let l = d + 135. Calculate the smallest common multiple of b and l.
45
Let w = 455 - 411. What is the least common multiple of w and 12?
132
Let s(k) = 7*k - 1. Suppose 0 = -4*i + 85 - 69. What is the lowest common multiple of s(1) and i?
12
Let w = 381 - 201. Find the common denominator of -81/8 and (-54)/w*73/3*1.
40
Let u = -7860 - -78517/10. Find the common denominator of u and 6*(-8)/112 - (-212)/21.
30
Let l be (-532752)/32*(-3)/(-2). Let b = l + 1443281/60. Let v = b - -919. Find the common denominator of v and 7/9.
45
Let i be 3 - 4 - (-6)/(-2). Let b = i + 14. Calculate the least common multiple of 16 and 64/b*15/6.
16
Suppose -54 + 12 = -4*b + 2*p, -5*b + 3*p + 53 = 0. Let s be -3*(-3)/27*69. Let j = -16 + s. What is the lowest common multiple of j and b?
70
Let y be ((-1)/3)/(2/(-552)). Let g = 100 - y. Calculate the least common multiple of 18 and g.
72
Let u(n) = -n**2 - 7*n + 3. Let i = -23 - -16. Let x be u(i). What is the common denominator of ((-1)/20)/(x/582) and -65/12?
60
Let r be 3/(-15) + (-660159)/(-9570). Let q = r + -1938/29. Find the common denominator of -57/22 and q.
22
Calculate the common denominator of 89/44 and ((-27)/(-42))/(36/(-525)).
88
Suppose -231 = -10*l + 3*l. What is the smallest common multiple of ((-8)/(-10))/((-5)/(-300)) and l?
528
Let q = 24335/7 + -3470. Calculate the common denominator of -3 + (188/18)/2 and q.
63
Suppose -f + j - 12 + 72 = 0, -f - 4*j = -60. What is the lowest common multiple of f and 18?
180
Suppose -4*d - 4*k = -8, -d - 17 = -2*d + 2*k. Suppose 72 = -10*c + d*c. What is the common denominator of 71/2 and (-57)/(-19) - 74/c?
12
Let a = 989/4 - 243. Calculate the common denominator of a and -28/29.
116
Let j be 38/3 - (-8)/24. What is the common denominator of -27/7 and (-2)/j + (-4210)/520?
28
Let z(r) = 6*r + 4. Let u(o) = -o - 1. Let g(m) = -5*u(m) - z(m). Let p be g(-4). What is the lowest common multiple of 10/p + 0 + 3 and 2?
10
Let c = 97/708 + 2152/4425. Calculate the common denominator of c and 113/210.
2100
Let g = 291/20 + -11333/60. Let a = -2305/12 - g. What is the common denominator of 4/(-6) - (-255)/99 and a?
44
Suppose -3*t - 119 = t + 5*k, 0 = -2*t - 2*k - 58. Let d = t + 37. What is the smallest common multiple of (-1)/2*1*-22 and d?
11
Let h = 12397/10 + -1246. Let y = 607/40 + h. Suppose -3*z = -6*b + 12, 2*z - 3*b - 4 = -16. Calculate the common denominator of z and y.
8
Let z = -2261 - -33838/15. What is the common denominator of z and 1/21*3 + 40/(-84)?
15
Let q = 282 - 569/2. Find the common denominator of q and -109/42.
42
Let q(c) = 2*c - 48. Let l be q(39). Let n(z) = 2*z**2 - 2. Let o be n(-4). Suppose 5*r - o = l. What is the least common multiple of r and 8?
24
Find the common denominator of (-6 - 1) + ((-1509)/(-72) - 16) and 47/120.
120
Calculate the common denominator of -75/8 and (104/25)/((-196)/(-35) - 6).
40
What is the common denominator of 3 and 126/(-12)*(1 + (-160)/153)?
102
Let c(l) = 4 - l**3 + 4*l**2 + l**2 - 12*l + 9*l**2 - 5. Calculate the smallest common multiple of 12 and c(13).
12
What is the smallest common multiple of 16 and (-1353)/(-4) - (-2 + (-9)/(-4))?
2704
Let i = -2902685221/12569769 - 12/465547. Let w = i + 231. Let f = w - 122/189. What is the common denominator of -37 and f?
7
Let j = 256 - 547. What is the common denominator of (j/(-10))/(36/15) and 3 + ((-339)/12 - -3)?
8
Calculate the common denominator of -5 - ((4 - 237/28) + (-2)/(-8)) and ((-2)/(-80))/((-4)/(-85)).
224
Calculate the common denominator of 2 + (274/66 - 7) and -58/21.
231
Let n = -3027/5 - -12079/20. Find the common denominator of 7/20 and n.
20
Let w = -2950 + 3034. Calculate the least common multiple of w and 462.
924
Let r be (-12)/15 - (-4)/(-20). Calculate the common denominator of r + -1 + (-572)/(-144) and -55/24.
72
Let g = 24211/7 - 3451. Let s = -825/133 + 46/7. What is the common denominator of s and g?
133
Let l(o) = -o**3 + 6*o**2 - 14*o + 33. What is the least common multiple of 21 and l(4)?
63
Let a(o) = -2*o**3 - 28*o**2 - 3*o - 34. Calculate the least common multiple of a(-14) and 256.
256
Calculate the least common multiple of 232 and ((-783)/(-6))/((-50)/(-100)).
2088
Let i = -32 + 80. Suppose -2*y + i = 4*m, 3*m - 4*y = 5 + 9. Calculate the lowest common multiple of m and 8.
40
Let r = -1/1015 - -108623/18270. Calculate the common denominator of r and -119/78.
234
Suppose -4*z - a = -18