396
Let m = -94 - -85. Let q(i) = i**3 + 9*i**2 - 2*i - 8. What is the lowest common multiple of 6 and q(m)?
30
Suppose 12*q = 13*q - 4. Find the common denominator of 79/2 and (-6)/16*q - 7/(-20).
20
Suppose -5*z = -z - 64. What is the lowest common multiple of (-54)/(-9)*(-4)/(-2) and z?
48
Suppose -3 - 9 = -d. Let l = d - 22. Calculate the common denominator of 144/(-40)*l/22 and -73/8.
88
Let h be 0 + 862/60 + 2. Let q = -11/5 + h. Calculate the common denominator of 43/7 and q.
42
Suppose 0 = -2*h + 3*f - 7966 + 1904, 0 = -5*h + 2*f - 15155. Let n = h - -99964/33. Calculate the common denominator of n and 34/21.
231
Find the common denominator of -49/72 and ((-68)/(-72) + -1)*(-274)/(-10).
360
Suppose -3*t + 2 = -3*r - 4, 4*t - 6 = 3*r. Suppose -z - 3*k - 7 = 0, z - 2*k = 2*z + 2. What is the smallest common multiple of z and t/(2 - 7) + 5?
40
Let o = -6 - -3. Let p(b) = b**2 + 2*b + 6. Let s be p(o). What is the least common multiple of 5 and 1*4/(12/s)?
15
Let t = -1997 + 3771. Calculate the least common multiple of t and 20.
17740
Let o be 0/(-1) + (-246)/429. Let v = o - 17383/858. Find the common denominator of 97/22 and v.
66
Suppose -k + 3*h + 4 = 0, -5*k + k - 26 = 2*h. What is the common denominator of (-3285)/(-75) - 1/k and -71/2?
2
Suppose 4*j = j + 6. Let f be (j*6)/((-9)/6). Calculate the common denominator of (-2)/f*254/6 and 39/2.
12
Let n = 169 - 164. Calculate the smallest common multiple of (-8)/12*(1 - 7) and n.
20
Suppose s + 9*s - 140 = 0. Calculate the least common multiple of 168 and s.
168
Let g be 1100152/32*2/(-9). Let r = g - -7634. What is the common denominator of 71/10 and r?
90
Suppose -2*y - 360 = -12*y. Suppose -y*o + 33*o = -12. What is the lowest common multiple of 20 and o?
20
Let r = 1535/248 - 64/31. Let w = 105917/10 - 10580. Calculate the common denominator of w and r.
40
Suppose -11*m - 54 = -14*m. What is the lowest common multiple of 78 and m?
234
Let w = 7/243 - 2789/20898. Find the common denominator of (-151)/(-48) + 2/3 and w.
688
Let a(l) = l**3 - 10*l**2 + 11*l + 4. Calculate the smallest common multiple of 32 and a(9).
352
Let i = 55 + -49. Suppose -5*m + i = -4. Calculate the lowest common multiple of 5 and m.
10
Suppose 0 = 5*a - 208 - 117. What is the smallest common multiple of 182 and a?
910
Let x be (10/(-48))/(922/(-44356)). Let t = 28/461 + x. Calculate the common denominator of 62/3 and t.
12
Let k = 4366/11 - 549929/1386. Calculate the common denominator of 55/42 and k.
126
What is the common denominator of 4*1/14 - 1073/(-518) and -121/24?
168
Let h = -4213/36 + 117. Calculate the common denominator of -77/8 and h.
72
Let t = -310 + 321. Calculate the smallest common multiple of 14 and t.
154
Let h = 7213/1692 - 327/47. Find the common denominator of h and -73/22.
396
Let h = 82434 + -549092876/6661. Let b = h - -965881/119898. What is the common denominator of -3/10 and b?
90
Suppose -8*l + 3*l - 3*u = -582, 0 = -2*l + u + 235. What is the smallest common multiple of l and 117?
117
Suppose -5*w - 214 = 2*c, 0 = -c + 1 + 2. What is the common denominator of 10/55 + (-1334)/w and 41/8?
8
Let b = 23756 + -712753/30. What is the common denominator of b and 34/129?
1290
Suppose p - 3*i = -0*i + 9, 3*p - 5*i - 15 = 0. Suppose p = 5*m - 3*m - 60. What is the smallest common multiple of 16 and m?
240
What is the least common multiple of 165/(-2)*(-9 + 25)/(-8) and 75?
825
Let m = -6194194/225 + 27530. Calculate the common denominator of -151/30 and m.
450
Suppose -12*g - 8034 = -51*g. Calculate the least common multiple of 2 and g.
206
Suppose 0 = -2*z + 23 + 9. Calculate the common denominator of z/40 - (-406)/(-40) and 0 + 1 - 129/54.
36
Find the common denominator of (9/24)/(-1)*868/189 and 1/24.
72
Suppose 24 = -5*f - 3*t, -t + 9 = -4*t. Let j = -313223/7734 + -2/3867. What is the common denominator of (75/54)/(2/f) and j?
12
Let n be -1*(-28)/4 + -4. Suppose -5*f - 4*x - 40 = 0, -7*x = f - n*x + 24. What is the common denominator of f + (39/27 - -2) and -47/8?
72
Suppose -587*r + 570*r = -170. Calculate the least common multiple of 787 and r.
7870
Let g(b) = -6*b**3. Let c = -6 - -5. Let w be g(c). Suppose 4*u + 10 = w*u. Calculate the smallest common multiple of u and 4.
20
Let b = -15 - -25. Let z(y) be the third derivative of y**5/30 - y**4/6 + 5*y**3/6 - 4*y**2. Calculate the least common multiple of b and z(2).
10
Suppose -13*y + 122 - 44 = 0. What is the least common multiple of 63 and y?
126
Let r = 55 + -160. Find the common denominator of 33/20 and -1 - -1 - r/(-162).
540
Suppose -10*h + 6*h + 16 = 0. Suppose -3*v + 6*v - 12 = 0. Suppose 0 = 2*f - 4, -v*t + 2*f = -3*f - 38. Calculate the least common multiple of t and h.
12
What is the common denominator of 99/20 and ((-6015)/1377 - -5)/((-8)/6)?
3060
Let b = 58271480/91 + -640333. Let n = 118/13 - b. Find the common denominator of n and (-2177)/630 - (-6)/(-10).
126
What is the common denominator of -13/6 and 15/(-4)*63*8/(-4740)?
474
Let g = 1/147098 - -8752223/15886584. What is the common denominator of 103/126 and g?
1512
Let o = 566 + -548. What is the least common multiple of 42 and o?
126
Let f(a) = 1 + 9*a - 8*a - 8*a**2 - 2*a**3 + 3*a**3. What is the smallest common multiple of 6 and f(8)?
18
Let j = -21 + -17. Calculate the common denominator of j and (36/(-10) - -4) + 1630/(-75).
3
Let f(t) = -t + 46. What is the smallest common multiple of 36 and f(-2)?
144
Let j(s) = s**3 + s + 10. Let d(x) = 13*x + 16. Let r be d(3). Let m = 63 - r. What is the smallest common multiple of m and j(0)?
40
Suppose 4*g - 10 = 90. Let b be ((-3)/2)/(9/(-204)). Let v = b - g. What is the least common multiple of v and 4?
36
Find the common denominator of -43/4 and 9/(-15) - 14*1/(-4).
20
Suppose 20 = -3*p + 32. Calculate the least common multiple of 7 and p.
28
Let a = -10/139 + -17969/3336. What is the common denominator of (-3)/(-30)*(2 - 5) and a?
120
Let y = -13 - -27. Suppose -36 = 5*w - 9*w. Suppose 0 = -w*x + 211 - 49. Calculate the least common multiple of x and y.
126
Let l be ((-6)/8*1)/((-438)/(-168)). Let d = l - 3023/657. Calculate the common denominator of d and (-102)/(-22) - (2 - 2).
99
Suppose 168*t - 364 = 164*t. Calculate the lowest common multiple of t and 117.
819
Let z = 1871/30 + -188/3. What is the common denominator of z and 46/8*(-12)/(-4)?
20
What is the smallest common multiple of (53/(-4))/((-315)/(-40) - 8) and 10?
530
Let m = -1199447/336 - -7139/2. Find the common denominator of m and 59/308.
3696
Suppose g + 3*q = -2, 2*q = -0*g - 3*g - 6. What is the common denominator of 73/4 and (g/6)/((-16)/(-2556)*-3)?
4
What is the common denominator of 18 and 51/756*(1 - -3)?
63
Suppose -65561 = -5*l - 8106. Let q = -160805/14 + l. Find the common denominator of q and -47/20.
140
Let c = 0 + 1. Let v = c + 0. Let p(k) = k**3 + 13*k**2 + 37*k - 24. Calculate the smallest common multiple of p(-7) and v.
11
Calculate the smallest common multiple of (-6676)/(-20) - (-44)/(-55) and 27.
999
Let m(w) be the third derivative of w**5/60 + 7*w**4/24 - 2*w**3 - 13*w**2. What is the lowest common multiple of 6 and m(-10)?
18
Let y = 574327/141606 + -2/7867. Let q = -23491491/62 - -378939. Let a = 170/31 - q. Find the common denominator of y and a.
18
Find the common denominator of (((-76)/(-30))/((-51)/(-170)))/2 and 1/4.
36
Calculate the common denominator of -25/259 and 151/154 + (-18)/12.
2849
Let w = -420 + 456. Calculate the least common multiple of 24 and w.
72
Let l = -72526439/973 + 74539. Let v = l - 84683/3892. What is the common denominator of 64/3 and v?
12
Suppose -50*a + 1264 = -48*a. Calculate the lowest common multiple of 16 and 4/20 - a/(-40).
16
Let d = 8/3527 + -14289/7854629. Let l = d + -26735/24497. Calculate the common denominator of 38 and l.
11
Let q = -148 + 216. Let s = q - 48. What is the lowest common multiple of 12 and s?
60
Let h = 12093/8 + -1514. Let n be (-4113)/(-4) - (-14)/(-84). Let k = n + -1029. What is the common denominator of k and h?
24
Let f = -23/5 - -17/20. Find the common denominator of (-2)/(-6) + 0 + (-933)/126 and f.
28
Let a = 6562716 - 27865292361/4246. Let h = 2012401/564718 - a. Let j = -39/38 - h. Find the common denominator of -149/12 and j.
84
Let v(d) = d**