
100
Let b = -5027392679/2724 - -1845592. Find the common denominator of b and -70/3.
2724
Let w = -13458 - -13656. Calculate the lowest common multiple of w and 24.
792
Let t = -859/2 + 439. Let q be 24/(-10208)*(-24)/(-15). Let p = q - -84691/41470. Find the common denominator of t and p.
26
Suppose -170*i + 169*i - 11 = -b, 0 = -5*i - 35. Let x(w) = 8*w + 4. Let y be x(-6). Let d = -22 - y. What is the lowest common multiple of d and b?
44
Let c = 731749/45 + -16259. Find the common denominator of c and -97/54.
270
Let d = 3986 + -3956. Calculate the least common multiple of d and 190.
570
Let z(l) = -148*l**3 + 4*l**2 - 400*l - 805. Calculate the lowest common multiple of 2151 and z(-2).
10755
Suppose z - 59 = -4*k, 5*k + 41 + 279 = 4*z. What is the least common multiple of 3 and ((-72)/60)/((-6)/z)?
15
Let w be (-908)/(-1308) + (-12)/18. Let a = 3681/3052 - w. Find the common denominator of a and -59/28.
28
Let g(t) = 5463*t - 120. Let z be g(4). Let n = z - 2173177/100. What is the common denominator of n and 1/110?
1100
Let w be (-18 - -14)*(-6)/4. Suppose -w*b + b - 1 = h, 0 = -5*h - 4*b + 16. Suppose 0 = 240*a - 37979 - 1861. Calculate the lowest common multiple of h and a.
332
Let u(p) be the third derivative of p**4/24 - 19*p**3/6 + 2*p**2. Let m be u(13). What is the common denominator of 13/2 and ((-1)/11)/(m/(-117))?
22
Let x(l) = 1729*l - 3454. Suppose 5*a - i - 114 = 4, -3*a + 2*i = -68. Calculate the lowest common multiple of a and x(2).
24
Suppose -3*b + 90 = -b. What is the common denominator of 8/(-14) + 360/63 and (72/b)/(13/(-5) - -2)?
21
Suppose -6*i = -12*i - 60. Let c(s) = 2*s**2 + 13*s - 13. Calculate the lowest common multiple of c(i) and 21.
399
Let z = -43 + 11. Find the common denominator of ((-1)/4*-182)/(-5) and (-4)/z*51/1.
40
Suppose 41 = 2*q - 3*m, -88 = -3*q + 2*m - 29. Suppose 11*y - 600 = -q*y. What is the lowest common multiple of 4 and y?
20
Let j = -428 - -432. Suppose 2*l - j*d = 204, 5*l - 12*d = -11*d + 483. What is the smallest common multiple of l and 12?
96
Let s be (-2)/(-6) + (-4587)/(-9). Calculate the common denominator of (-6)/(-72)*s/(-14) and (-4 - 2) + 3444/480.
280
Let f = 4390 + -43943/10. Let o(v) = v**2 - v. Let q be o(1). What is the common denominator of f and 28/(-35) - (5 - q)?
10
Suppose 8*q - 12 = 6*q. Suppose -q*c + c - 110 = 0. Calculate the common denominator of 145/24 and -4*(-3)/18*1*c.
24
Let k be (-5)/(-5718)*-1*54/60. Let s = -75281/7624 + k. Find the common denominator of s and -48/89.
712
Let o = -19103 + 21318. What is the lowest common multiple of o and 55?
24365
Suppose 109 = d - 2*j - 32, 3*d - j = 428. Let n = -133 + d. Calculate the lowest common multiple of ((-6)/(-4))/((-1)/(-2)) and n.
30
Suppose -50 = -3*k - 4*x - 4, 8 = 2*x. Let q(l) = -4*l - 4. Let v be q(k). Find the common denominator of -3 + v/(-12) - 178/60 and 15/13.
130
Let l = 3/31747 - 1051167/37207484. What is the common denominator of -67/16 and l?
4688
Let d = -62 + 57. Let k be 119/3*d/10. Let u = 319/12 + k. What is the common denominator of u and -103/10?
20
Find the common denominator of 41/2 and 13 + -2 + (250439/125324 - 13).
6596
Suppose 5*g + 451 = 2*o, 4*o - 6*g - 853 = -3*g. What is the smallest common multiple of o and 88?
2288
Let g be (-4 - -3)/(2/(-862)). Calculate the common denominator of g/36 + 4/(-18) and 174/70*(140/(-24))/(-7).
28
Let a = 346 - 338. Let j(g) = 2*g**2 - 5*g - 40. What is the lowest common multiple of j(a) and 36?
144
Suppose -3*h - 30 = -12. Let s be (27/h)/((-3)/36). Suppose -4*b = -6*b - s. What is the common denominator of b and -39/10?
10
Suppose 3960*j + 396 = 3961*j. Calculate the smallest common multiple of j and 396.
396
Let k(w) = -2*w**2 + w + 258. Calculate the lowest common multiple of k(-10) and 104.
624
Calculate the least common multiple of 3/(3/(-8)) + 6*(-5485)/(-30) and 594.
6534
Let f(z) be the first derivative of z**3/3 - z**2 + 4*z + 71. What is the least common multiple of f(0) and 2?
4
Let v = -1/96664 + 4639879/676648. Suppose 2*y - 63 = -5*c, 3*y = 5*y + c - 67. What is the common denominator of v and (4/y)/(8/44)?
119
Suppose -19 + 21 = -s. Calculate the lowest common multiple of (2 - -36)*s/(-4) + 2 and 27.
189
Suppose 0 = y - 3*y - 6. Suppose -622*v - 15 = -623*v - 5*j, 15 = -4*v - 5*j. Calculate the least common multiple of 14 and (-8)/y*(-45)/v.
84
Let s = 140 + -137. Let q(g) = g**3 - g**2 - 6*g - 3. Let f be q(s). Calculate the lowest common multiple of 6 and ((-1)/f - 312/(-9)) + -3.
96
Let o = -5 - -27. Let g(n) = -57*n + 52. What is the smallest common multiple of g(-6) and o?
4334
Calculate the smallest common multiple of 7 + 2 + (-13 - -13)/(-13) and 269.
2421
Let h = -14872 + 15474. What is the least common multiple of h and 246?
74046
Let d(t) = 7*t + 4. Let a be d(-3). Let k = a + 32. Calculate the smallest common multiple of ((-36)/10)/(2 - (-128)/(-60)) and k.
135
Suppose -5*y = -p - 1601, y + 2*p - 2058 + 1740 = 0. Calculate the lowest common multiple of 46 and y.
7360
Let k = -216733/18 - -12047. Find the common denominator of (-472)/153 - (-18)/6 and k.
306
Suppose -8*f - 60 = -5*h - 11*f, -90 = -5*h + 3*f. Suppose -9*y + h + 30 = 0. Calculate the smallest common multiple of 21 and y.
105
What is the common denominator of (-27 - (-1 + -3))*4/(-202) and 59/20?
2020
Let a = 1682 - 1586. What is the least common multiple of 492 and a?
3936
Let a be 1 - (-7 - 11576/(-1446)). Let n = 36893/3615 + a. Calculate the common denominator of 9/2 and n.
10
Find the common denominator of -3/100 and 1/(-3) - (-2 + (5 - (-5031)/(-1080))).
200
Suppose 4*h - 4*f + 24 - 52 = 0, 0 = -f - 2. Calculate the lowest common multiple of h and (3 - -62)*1 + 2/2.
330
Suppose 3*h - 29 = z + h, -z - 5*h - 43 = 0. Let g = z - -23. Find the common denominator of (-18)/30 - (-61)/g and -50/7.
70
Suppose 4*m - z = -2*z + 37, 4*m - 4*z - 52 = 0. Let p be 10/8 + ((-270)/24)/(-15). Calculate the lowest common multiple of 0*1/p + 11 + -5 and m.
30
Let t = 378 - 378. Let h(b) = -b**3 + 2*b**2 + 22*b + 15. What is the least common multiple of h(t) and 55?
165
Let r = -11048175 + 27686728407/2506. Let f = 8/179 + r. Find the common denominator of -47/2 and f.
14
Suppose 0*s + 3*s - 1110 = -3*k, 3*s = -15. Find the common denominator of (-3)/(45/(-84))*3/(-60) and k/54 - 9/6.
225
Let i(t) = -t**2 + 4*t - 4*t**2 + 2 + 2*t**2 - t**3. Let x be i(-4). Calculate the smallest common multiple of (-1 + x)/(3/(-12))*-4 and 40.
80
Suppose 42 = -3*z + 4*p, 2*z + 3*p + 41 = -3*z. Let t(g) = -g - 2. Let s(m) = m. Let a(b) = -2*s(b) - t(b). Calculate the lowest common multiple of a(z) and 38.
228
Suppose -3*d - 6 = 0, -d = 4*j - j - 154. Suppose j = 9*r - 5*r. Calculate the lowest common multiple of r and 7.
91
Let l(s) = 36*s**3 + 3*s**2 - s - 1. Let v be (2 - 1) + 2 + 0 + -2. Let h be l(v). Calculate the common denominator of (-5)/((-10)/3) - h and -131/78.
78
Let m be 175/(-28) + 2/8. Let h(t) = -11*t - 39. Let c be h(m). Suppose 4*n = 4*s - 2*s - 30, -4*s - 3*n = -c. Calculate the least common multiple of s and 27.
27
Let q(a) = a**3 - 28*a**2 + 35*a - 20. Let y be q(27). Let d = -139 + y. Calculate the least common multiple of 6 and d.
114
Let y = -50 + 53. Suppose -g - 2*t + 205 = 0, y*g - 2*t = 3*t + 571. Let d = 793/4 - g. What is the common denominator of d and 87/10?
20
Let r = -280 + 202. Let k = 1171/15 + r. Calculate the common denominator of k and -97/12.
60
Let c = 1 + 2. Suppose 0*z - 4*z = c*x - 16, 2*x + 2*z - 8 = 0. Suppose -2*i + 2*l + 8 = -x*i, -i = 4*l + 11. What is the smallest common multiple of i and 3?
3
Let g be (-8)/(-36) - (74140/(-252) + -2). Let i = g - 124717/420. Find the common denominator of 23/16 and i.
240
Let a(l) = 22*l**2 + 4. Suppose 0 = 6*g - 8*g - 5*p + 17, -5*g = -2*p + 1. Calculate the common denominator of a(g) and -8/7.
7
Suppose k + 3 = 5. Suppose -135*o + 537 = -2338 + 715. Calculate the lowest common multiple of o and k.
16
Let b be (1/2)/(1*(-3)/(-66)). Calculate the common denominator of 129/28 + b/((-44)/1) and 99/10.
70
Suppose -f = z - 33, 3*f + 189 = -14*z + 19*z. Calculate the smallest common multiple of z and 208.
1872
Let g = -510 + 582. Suppose -3 = 4*z + 3*s - 283, 210 = 3*z + 5*s. What is the smallest common