 1. Let b be a(-1). What is the common denominator of 2/((-84)/(-242)) + (-32)/(-48) and b/30 + (-2)/(-12)?
35
Find the common denominator of -27/4 and (4/176)/((-13)/351).
44
Let j(v) = 4 - 7 - 5 - 4 + 30*v. Calculate the lowest common multiple of j(2) and 14.
336
Suppose 11189*g = 11183*g + 180. Calculate the lowest common multiple of 52/14 + (-2)/(-7) and g.
60
Suppose -2*u = k - 729, 1206 - 112 = 3*u + 2*k. Calculate the smallest common multiple of 2 and u.
364
Let y = -233/30 + 152/45. Let a be 2841/6 + 4 + -5. Let k = 462 - a. What is the common denominator of y and k?
18
Suppose 8*j = -j - 135. Calculate the smallest common multiple of 3 and (-171)/j - (-16)/(-40).
33
Let j(l) = 18*l**3 - 3*l**2 + 12*l - 9. Calculate the lowest common multiple of 4 and j(1).
36
Let r(h) be the first derivative of -3*h**2/2 - 31*h + 5. What is the lowest common multiple of r(-15) and 6?
42
Suppose -c + 9 = 5*n, 4*c - 2*n - 35 = 67. What is the lowest common multiple of 12 and c?
24
Let c be (-4)/(12/3)*-3. Suppose -4*x + 112 = -4*t, x = -c*x + t + 127. Calculate the smallest common multiple of x and 18.
198
Suppose 2*i = -10 + 4. Find the common denominator of -3/7 and 1*(-182)/21 - i*1.
21
Let p(w) = 14*w + 5. Let y(u) = -13*u - 5. Let x(z) = 2*p(z) + 3*y(z). Calculate the smallest common multiple of 3 and x(-4).
39
Suppose 9 - 77 = -17*h. What is the least common multiple of h and 12?
12
Find the common denominator of (278/(-462))/(2/6 + 3) and -113/10.
770
Let j be 4256/258 + (24/(-9))/(-4). Let g = j - 41077/2451. What is the common denominator of g and -119/24?
456
Calculate the least common multiple of (-244)/(-3) - (-32)/48 and 12.
492
Let d = 19 - 7. Let m = -3772 + 22771/6. Calculate the common denominator of m and d.
6
Let w(c) = -c**2 + c - 1. Let j be w(2). Find the common denominator of 7/(525/80) - j*1 and -71/9.
45
Find the common denominator of 137/30 and 44/(-55)*48/30.
150
Let g(s) = s**3 + 24*s**2 - 52*s + 24. Let d be g(-26). What is the smallest common multiple of 22 and d + (-15)/5 + 3?
264
Let m = 652/621 - 2/23. Find the common denominator of m and 109/30.
270
Calculate the smallest common multiple of 77 and (63/3)/((-144)/(-3216)).
5159
Suppose -5*c + 7 = -2*d, -28 = d - 5*d - 4*c. Suppose 4*h + d*h = 392. Find the common denominator of h and 83/6.
6
Suppose 5*f = -0*f + 50. Calculate the lowest common multiple of 13 + 2 - (3/(-3) - 2) and f.
90
Let l be -2 + ((-4737)/4731 - -3). Let m = l - -42583/3154. Let f = m - -1. Find the common denominator of f and -19/8.
8
Suppose 4*c - 4*u - u = 60, -u + 4 = 0. Let q(d) = -2*d + 28. Let n be q(7). Suppose 0 = h - n. Calculate the smallest common multiple of c and h.
140
Let k(j) = 15*j. Let u be k(2). Let x be 36/u*(5 + 0). Find the common denominator of 95/8 and 8 + -6 + 1/x.
24
Suppose 10 = 5*k + 3*c, -8 = -5*k + 4*c + 2. Let z be 3*k/(-6)*-3. Suppose -7 + z = -g. Calculate the least common multiple of 11 and g.
44
Let l = -940261/44 + 21371. What is the common denominator of l and -79/22?
44
Suppose a = 3*d + 15653, -4*a + 2*d + 35378 = -27224. Let i = 813747/52 - a. Find the common denominator of -71/8 and i.
104
Suppose 3*g - 344 = g. Let w = 886/5 - g. Calculate the common denominator of w and (6/(-4))/(18/282).
10
Let c = 270/53 + 1603/424. Calculate the common denominator of (-3)/(-12)*20/(-22) and c.
88
Let n(k) = k**2 + 8*k - 2. Let g = -4 + -3. Let m be n(g). Calculate the lowest common multiple of 5 and (-24)/(-9)*m/(-2).
60
Let p be 8*-3*(-3)/18. Let q(s) = -2*s - 4. Let f be q(p). Calculate the lowest common multiple of 39/9 + (-8)/f and 5.
5
Calculate the common denominator of 18333/10920 + 5/(65/(-2)) and -31/56.
280
Let h(n) = n**2 - 5*n - 4. Let f be h(6). Suppose s + p - 3*p = -1, -f*s = p - 18. Calculate the least common multiple of s and 66.
462
Let f = -205 + 209. Calculate the smallest common multiple of f and 40.
40
Let d be (48/(-20))/3*(-25)/10. Suppose -6*x = -d*x - 8. Calculate the lowest common multiple of 30 and x.
30
Suppose 8*n = 4*n + 16. Let z = -3 + n. Calculate the common denominator of 202*((-1)/(-28))/z and -47/5.
70
Suppose -5*r - 5*h = -185, h = -3*r - 3*h + 116. Suppose 0 = -2*s + 4*d + 52, 0 = s + 4*d - 20. Calculate the smallest common multiple of s and r.
96
Calculate the smallest common multiple of 10 and (-6)/(-57) + 422856/798.
530
What is the least common multiple of 8*(-16)/(-1) + -6 and 16?
976
Let u = -28305 - -565979/20. Suppose -60 = -2*w - 3*t, 8 + 0 = 2*t. What is the common denominator of u and (121/55)/(w/(-130))?
60
Let r be (2 + 0)*((-15)/(-2))/(-5). Find the common denominator of 55/21 and (-180)/102 - 1/r.
357
Let q(i) = i**3 - 7*i**2 - 8*i + 12. Suppose 0 = -2*w + 10. Suppose -3*o + 5*o + 6 = 0, g = w*o + 16. What is the smallest common multiple of q(8) and g?
12
Let i = 42746 + -65794. Let c be (-1)/(-2)*i/(-555). Let l = c - 566/37. Find the common denominator of -50/7 and l.
105
Suppose -8 = -0*s + s. Calculate the least common multiple of 8 and (s/10)/(8/(-60)).
24
Let s = -1004/1035 + 71/138. Calculate the common denominator of s and 79/8.
360
Find the common denominator of -97/410 and (-12)/574*4475/(-537).
2870
Let w be (-9)/9 - (0 + -2). Calculate the lowest common multiple of (4/12)/(w/15) and 2.
10
Suppose 0 = -2*o - 10 + 32. Let r(i) = -8*i - 25. Calculate the smallest common multiple of o and r(-4).
77
Suppose -49*d + 38*d = -198. Calculate the lowest common multiple of d and 20.
180
Suppose 2*n + 6 = -0*n. What is the common denominator of -101/10 and (-2)/n*(-330)/(-8)?
10
Let z = -23 - -35. Calculate the least common multiple of z and 12.
12
Let n be (11/(-99))/((-73)/12). Let v = n - 1204/1971. Calculate the common denominator of v and -67/33.
297
Let o = 2932 + -11647/4. Let i = 719/4 + -2207/12. Find the common denominator of o and i.
12
Let h = 621 + -437. Calculate the least common multiple of h and 8.
184
Let n = -16684/21 - -9551/12. What is the common denominator of n and -19/144?
1008
Let n be (-4 - (-15 - 4)) + 3. Find the common denominator of -5/3 and (3 - (-384)/n)/((-38)/(-3)).
114
Let m = 547/165 - -49/33. Let g = 5507/582 + 36/97. Calculate the common denominator of m and g.
30
Find the common denominator of (7*(-374)/(-693))/(-35) and 2/105.
315
Let d be (-1)/4 - 995271/178928. Let o = 308/387 - 3444751/4327821. Let j = o + d. Find the common denominator of j and -67/8.
16
Let v = -9890 + 79221/8. Calculate the common denominator of v and -101/22.
88
Let i be (-2)/(-11) - (-1311388)/660. Let o = i - 1992. Calculate the common denominator of 79/18 and o.
90
Suppose 3*h + 115 = -5*v, 2*v - v + h = -25. Calculate the smallest common multiple of ((-5)/(-2) - 3)*v and 18.
90
Let y = 12 - 0. Suppose 0 = 4*n - 3*v - 323, -2*n + 159 = 31*v - 30*v. Calculate the smallest common multiple of y and n.
240
Let d = -248 - -294. Calculate the smallest common multiple of 16 and d.
368
Let z = -1 + -14. Let x be 600/6*153/z. Calculate the common denominator of -55/8 and (-1)/(-4) + x/(-96).
8
Calculate the common denominator of 11/381 and (-9)/((-1008)/(-707))*4.
1524
Let j be ((-9)/(4 + 491))/(4/6730). Suppose 0 = 5*s - y + 3*y + 158, y + 94 = -3*s. Let a = s - j. Find the common denominator of 53/10 and a.
110
Let j = -5811 - -401030/69. Calculate the common denominator of j and 59/27.
621
Let h(a) = -2*a**3 + a**2 + 2*a + 3. Let i be h(-2). Suppose i = 2*p - 5. Calculate the least common multiple of p and 8.
24
Let m(w) = -w**2 + 52*w - 64. Calculate the smallest common multiple of m(50) and 318.
1908
Let q(x) = -x**3 - 30*x**2 + 33*x + 97. What is the least common multiple of q(-31) and 40?
280
Let f = -134 - -184. What is the lowest common multiple of 12 and f?
300
Let x = -39521/154 - -1805/7. Calculate the common denominator of x and 396/(-32) + 2/(-8).
88
Suppose 43*j - 31*j = 12. Calculate the smallest common multiple of j and 10.
10
Let y = -10740978/1373 + 7823. Let r = 48057/2746 - y. Calculate the common denominator of r and -149/24.
24
Let y(m) = -17*m - 43. Calculate the least common multiple of 54 and y(-5).
378
Let n be 3 + 1/(2 + -1). Suppose 64 = n*r - 4*o, 5*r + 0*o - 3*o = 74. Calculate the common denominator of 38/9 and (r/4)/(4/10).
72
Suppose -8 = h + 4*r - 17, 4*r - 45 = -5*h. Calc