d/8) and 7.
42
Let t be (3/188076)/((-693)/24). Let a = t + -20731977947/21722778. Let g = 956 + a. Find the common denominator of 33/8 and g.
72
Suppose -856 = b - 955. What is the smallest common multiple of b and 55?
495
Suppose 2*i - 8 = -2*i. Let v(j) = j + 4. Let m be v(-2). Suppose 0 = -0*f + m*f + u - 1, f - u - i = 0. Calculate the smallest common multiple of 1 and f.
1
Let y = 2125 + -4265/2. What is the common denominator of -89/236 and y?
236
Let y(n) = -n**2 - 1 - 23*n**3 + 2*n**2 - n + 74*n**3. Suppose s + 11 = 10. Find the common denominator of y(s) and -23/6.
6
Let f be (-3)/(21/8 + -3). Suppose -c + f = c, c = p - 510. What is the common denominator of 15/20 - p/(-72) and -41/5?
45
Let o be (-15)/(-3) - (0 + 0). Let f = -2 + o. Suppose f*s - 5*u = 62, -3*s - 4*u = -u - 30. Calculate the smallest common multiple of 8 and s.
56
Suppose -i = 2*d, 0 = 3*i - 5*d + 4*d - 7. Calculate the least common multiple of i and 4.
4
Suppose -r - 233520 = 2*r. Let h be 6/21 + 520486/r. Let t = h + 18/695. What is the common denominator of t and 83/10?
40
Let m = 22 - 2. What is the least common multiple of (3132/609)/(4/14) and m?
180
Let j = -58933/90 - -5806/9. Suppose -p - z - 3*z = 19, -3*p = -3*z - 18. Calculate the common denominator of (p/6)/(4/42) and j.
20
Suppose -4*f - 8 = -24. Suppose -3*g + 2 = 4*p - 27, -4*p = -f*g - 8. Calculate the lowest common multiple of g and 1.
3
Let z = -12030199503630815336853/7020631087862 - -213603345/719474389. Let p = z + 1713549581. Let b = p + -4/697. Find the common denominator of 89/6 and b.
42
Let q = 98 + -68. Suppose 3*n - 3*m - 51 = 0, -4*n - 3*m + 53 = -2*m. Calculate the lowest common multiple of n and q.
210
Let z(w) = 20*w - 12. Let s be z(4). Let d = -62 + s. Calculate the smallest common multiple of d and 18.
18
Calculate the smallest common multiple of 513 and ((-20)/(-15) - (-5)/(-6))*6.
513
Suppose s + c = 3*s - 31, 5*s + 5*c = 115. What is the smallest common multiple of s and (-10)/20 - 25/(-2)?
36
Let i = -43 - -55. Calculate the least common multiple of i and 3.
12
Suppose 2*p = -0*p, 0 = 5*j + p + 74020. Let b = j + 814257/55. Calculate the common denominator of 50 and b.
55
Suppose -288 = -11*y - 15*y - 6*y. Calculate the least common multiple of y and (-321)/(-12) - 1/(-4).
27
Find the common denominator of 1/116 and (-1995)/(-456)*12/435.
116
Let c = 1781 + -1726. What is the least common multiple of c and 44?
220
Let o be ((-370)/5)/((-2)/3). Calculate the common denominator of -55/8 and 0 + (o/(-204) - -1).
136
Suppose -i - 33*y + 130 = -37*y, 5*i = 4*y + 634. Calculate the lowest common multiple of i and 81.
1134
Let m(y) = -1513*y + 12. Let a be m(5). Let w = a + 67906/9. Find the common denominator of 3/(-6) + 30/16 and w.
72
Let h = 1849 - 7449/4. Let k = 3608 - 100935/28. What is the common denominator of h and k?
28
What is the common denominator of 11/2 and 2 - (36/(-80) + 3)?
20
Let w be ((-7)/((-147)/812))/((-1)/(-60)). Let k = -9327/4 + w. Let j = 5363 + -118009/22. What is the common denominator of k and j?
44
Let j = -619 + 1337/2. Find the common denominator of j and 4 + -4 - (-39)/(-10).
10
Let c = -7033/29670 - -8/645. What is the common denominator of -48/253 and c?
1518
Let x(p) = p**2 + 6*p - 30. Let o be x(-9). Let g(m) = -m + 2. What is the smallest common multiple of g(o) and 5?
5
Suppose 20 = 4*d - 2*d. Calculate the least common multiple of (-378)/105*(-20)/6 and d.
60
Let d = -3578 - -1933. Let f = d + 3537. What is the common denominator of 69/8 and f/(-448) + 2/7?
16
Let b be ((-21)/153)/((-172)/(-12)). Let l = b - -34511/16082. What is the common denominator of l and 41/20?
220
Let t = 1/25854 + -162309/86180. Calculate the common denominator of t and 68/15.
60
Let q = -304/9 + 2623/63. Calculate the common denominator of q and 131/140.
140
Let c = 14 + -10. Suppose 2*z = z, -12 = 4*j + 5*z. Calculate the smallest common multiple of 8 and (1*-12)/c*j.
72
Suppose t = 4*t. Suppose t = 2*v - 29 + 1. Calculate the lowest common multiple of v and 2.
14
Calculate the lowest common multiple of 141 and ((-1)/(-2))/((-28)/(-336)).
282
Let a = -274 + 280. What is the lowest common multiple of 372 and a?
372
Let r = -781/2 + 8663/22. What is the common denominator of 2*(-37)/(-14) - 0 and r?
77
Let t be (3/2)/(3/6). Suppose 2*l + 4*a = -4, 1 = t*a - 5. Find the common denominator of (2 - 1)*94/l and 103/6.
6
Let k be 3200439/(-108) - 1/4. Let f = k - -29642. What is the common denominator of (-12)/28 - 470/308 and f?
198
Suppose 0*t - 12 = 3*t. Let z be (-15)/t*(-16)/6. What is the lowest common multiple of 2/(-4) + (-145)/z and 22?
154
Let k = -85 - -83. Calculate the lowest common multiple of ((-960)/45)/(k/6) and 9/2 + (-2)/4.
64
Let j = -430665128097/26043303230 + 4442484/173287. Let z = -1/15029 + j. What is the common denominator of (-85)/24*(-6)/(-4) and z?
80
Let g be (1 + -2)/((-4)/724). Let b = g - 671/4. Calculate the common denominator of 13/((-702)/60) - (1 - 1) and b.
36
Let r = -70646/45 - -1570. Calculate the common denominator of -2/55 and r.
495
Let s = -131/11 + 510/77. What is the common denominator of 210/(-66) - -3 - (-886)/(-88) and s?
28
Let p(l) be the second derivative of -l**5/20 - 17*l**4/12 - 8*l**3/3 + 11*l**2/2 + 8*l. Calculate the smallest common multiple of p(-16) and 3.
33
Let u = 70/67 + -2427/335. What is the common denominator of -2/15 and u?
15
Calculate the common denominator of 488/366 - (-127)/30 and (20/(-6))/(26/(-16)).
390
Let y = -8 + 17. Suppose -4*z + 14 = 2*p, 20 + 0 = 5*p + 5*z. Calculate the smallest common multiple of y and p.
9
Calculate the common denominator of 49/24 and ((-7)/(-42))/(28/(-159)).
168
Let f(z) = z**3 - 6*z**2 + 5. Suppose 252*i = 243*i + 63. What is the smallest common multiple of f(6) and i?
35
Let t(b) = -b**3 + 6*b**2 - 14*b + 31. What is the smallest common multiple of 244 and t(3)?
976
Suppose -65 = -5*a - 5*x, -x = 2*a - 41 + 18. Calculate the smallest common multiple of a and (-81)/(-5) + (-5)/25.
80
Suppose -u - 5*s = -11, -3*u - 6*s + 5 = -5*s. Suppose 0 = k - 2*k + 14. Let r = -8 + k. Calculate the least common multiple of r and u.
6
Let b = 7 + -4. Let j(f) = f**3 - 5*f**2 + 5*f - 4. Let q be j(b). Find the common denominator of -77/18 and q/4*(-76)/6.
18
Suppose -3*m + 1 = -2. Let b = 36 + -30. Calculate the least common multiple of m and b - (4/14 + (-48)/(-28)).
4
Suppose -12*i = -8 - 16. What is the smallest common multiple of ((-6)/3)/((-1)/18) and i?
36
Suppose 2*g + 348 = 2*s, 0*g + s - 349 = 2*g. Find the common denominator of g/(-14) - (-6 - -2) and 8.
2
What is the common denominator of -17/143 and ((-561)/884)/((-30)/4)?
1430
Calculate the common denominator of 8/13 and 5019/(-3003) - (-7 - -5).
143
Suppose 27 + 0 = 3*r. Let v(t) = 2*t**3 + 2*t**2 - 1. Let n = -8 - -9. Calculate the smallest common multiple of v(n) and r.
9
Let l be ((-2)/2)/((-6)/(-66)). Let w(g) be the second derivative of -g**4/12 - 2*g**3 - 3*g**2/2 - 3*g. What is the least common multiple of 10 and w(l)?
40
Let g be 676/(-10) + 10/(-25). Calculate the common denominator of (-592)/(-18)*51/g and 61/18 + 1 + 3.
18
Let m = 14 - 12. Suppose -2*h + 18 = -h + m*p, -4*p + 114 = 5*h. Suppose -4*z + h = 2*s, -4*z + s + 14 = 3. Calculate the lowest common multiple of z and 20.
20
Let w = -19524082/93 + 209944. Let r = 27/124 - w. Let s = -19/7 + -9/14. Calculate the common denominator of s and r.
84
Let k(r) be the second derivative of -11*r**3/6 + 5*r**2/2 + 7*r. What is the least common multiple of 16 and k(-1)?
16
Let y(r) = -r**2 + r - 1. Let f(x) = -4*x**2 - 7*x + 3. Let i(p) = -f(p) + 5*y(p). What is the lowest common multiple of 6 and i(11)?
6
Suppose 4*l = -5 + 29. Let a be 6/18 + 238/6. Suppose 5*t - a = 5*g, 5*t - 55 = -g - 3. Calculate the least common multiple of t and l.
30
Let b be (-6)/(-264)*3981524/2. Let f = b + -45236. Let s = -56/11 + f. What is the common denominator of s and 71/3?
6
Let g(y) = -y**3 + 14*y**2 - 11*y - 14. What is the least common multiple of g(13) and (-3)/(0 + 12/(-80))?
60
Let c(s) = 15*s**2 - 2*s + 1. Let y be c(2). Let k = y - 40. What is the smallest common multiple of k and 4?
68
Let i(x) = -x**3 + 9*x**2 - 10*x + 2. Calculate the smallest common multiple o