 + 731/1056. Let o = -31 + 27. What is the common denominator of s and 23/10 - (5 + o)?
160
Calculate the common denominator of -12 + 767/65 - -7 and -19/35.
35
Let p(d) be the second derivative of -13*d**5/10 - d**4/12 - d**3/2 - d**2/2 + 17*d. Calculate the smallest common multiple of 30 and p(-1).
270
Suppose 20*k - 3 = 19*k. Find the common denominator of (-2)/k - (139/30 - -4) and -51/16.
80
Let s(i) = -13*i**2 + 5*i + 1. Let u(o) = 3*o**2 - o. Let f(g) = 2*s(g) + 9*u(g). Calculate the least common multiple of 10 and f(2).
40
Let d(z) = -3*z. Let p(q) = -q + 6. Let a be p(3). Let w = 2 - a. What is the smallest common multiple of 5 and d(w)?
15
Let z be ((-2)/(-5)*-6)/((-13)/(-65)). Find the common denominator of (-211)/44 + (-3)/z and 26/27.
297
Let q(a) = -a + 12. Let v be q(12). Suppose -4*m - 4*j - 20 = 0, -1 = -3*m + 5*j - v*j. Find the common denominator of 97/10 and 15*(0 + m/7).
70
Let o = 27261/7 + -3888. Calculate the common denominator of o and 4*4/((-32)/42).
7
What is the least common multiple of 165 and 810/27 + 4/((-12)/9)?
1485
Let j(v) be the second derivative of -2*v**3/3 - 2*v**2 - 5*v. Suppose -3*f + 9 = -39. Calculate the lowest common multiple of f and j(-5).
16
Let t(v) = -7*v**3 + 90*v**2 + 14*v + 1. Calculate the smallest common multiple of 140 and t(13).
140
Suppose n + 28 = -n. Let u = n + 21. Calculate the smallest common multiple of u and 7.
7
Let h = -4/2177 + -106601/39186. Let a = -4 - -5. Find the common denominator of 3*(-340)/96*a and h.
72
Let n = 147 + -235. Let g = n + 100. Let a(r) = r**3 - 3*r**2 + 2*r - 6. What is the lowest common multiple of a(4) and g?
36
Suppose 0 = -5*i + 13*i + 9040. What is the common denominator of -73/14 and (-2 + (-133)/(-70))*i/(-12)?
84
Calculate the least common multiple of (-1)/2*-2*7 and 35.
35
Find the common denominator of -53/12 and 238/144*(0 - 15/10).
48
Suppose 2*h + c = 6, -3*h + 5*c = -2*h - 14. Find the common denominator of 14/189*(-58)/h and 31/9.
27
Suppose 0 = 2*i + i - 12. Suppose 2*n = 4*h + 18, 10*n = 5*n + 5*h + 25. Calculate the lowest common multiple of i and n.
4
Find the common denominator of (-70)/(-24)*(1 + -3) and (26/12)/((-60)/220).
18
Suppose -7*c + 8 = -3*c. Suppose 3*t - 22 = 2*p, c*p - 2 = -t + 8. What is the smallest common multiple of t and 3 + -6 + 3 - -8?
8
Let v = -1274 + 1983. Suppose 2*s + o - v = -2, -4*o = -20. Let h = s - 1066/3. What is the common denominator of h and -49/10?
30
Find the common denominator of -55/32 and -6 - ((-301)/(-126) + 0).
288
Suppose 6*m + 70 = 4*m. Let b = 39 + m. What is the least common multiple of b and 2?
4
Suppose -o + 0*y - y = -5, 2*o = -4*y + 14. What is the smallest common multiple of ((-22)/o)/(26/(-39)) and 3?
33
Suppose 2*n - 322 = -202. What is the lowest common multiple of 3 and n?
60
Let j = -12459/2576 + 24/161. Let c = 145/18 - 28/9. What is the common denominator of c and j?
144
Let y = 1955 - 1739. Calculate the least common multiple of 54 and y.
216
Suppose 3*u - 3*g - 1566 = 0, -43*g = 3*u - 45*g - 1568. Calculate the least common multiple of 8 and u.
1048
Suppose -79994574783 = -3*s - 0*s. Let k = s - 801545639519353/30060. Let o = 3/3340 - k. What is the common denominator of 125/6 and o?
18
Let o be 8/(-246)*(-26370)/(-20). Let u = o + 55713/1394. Let x = -75/8 - -611/40. Calculate the common denominator of u and x.
170
Let b(o) = o**2 + 53*o + 501. Let t(r) = 4*r - 2. Calculate the lowest common multiple of t(3) and b(-41).
90
Suppose -i + 13*i = 1008. Calculate the common denominator of 53/27 and (-37)/(-189) + 24/i.
27
Let y = 854627/3114 - -113/1038. Let v = -276 + y. Let t = 2735/77 + -255/7. Find the common denominator of t and v.
99
Suppose 0 = 9*o - 54. What is the common denominator of (-134)/(-12)*o/21*7 and -26/9?
9
Suppose 3*a + a + 5*q - 20 = 0, 4*a = 5*q + 60. Suppose -m + a = m. Suppose -r = 5*b - 4 + 3, -b = 5*r - m. Calculate the least common multiple of r and 11.
11
Let s(v) = -16 - 2 + 694*v - 698*v. What is the least common multiple of s(-8) and 18?
126
Calculate the common denominator of (-4)/6 + (-8)/((-1728)/(-963)) and 2/(-3)*156/80.
40
Let c be (-100 - -7)*(-11)/(-8). Let g = c - -257/2. Calculate the common denominator of g and 83/8.
8
Let w = 1831 + -1075. Calculate the lowest common multiple of w and 20.
3780
Calculate the smallest common multiple of (9/(-12))/(24/(-192)) and 120.
120
Suppose -19*b + 21*b - 22 = 0. What is the lowest common multiple of b and 57?
627
Suppose q = -2*q - 2148. Find the common denominator of q/(-120) + 2/10 and -19/18.
18
Let g(p) = 2*p**2 - 14*p - 48. What is the lowest common multiple of 10 and g(12)?
360
Let b = -4915 + 466913/95. Calculate the common denominator of b and 101/30.
570
Suppose 2*p - r - 8 = 0, -2*r - r = -3*p + 12. Suppose 0*c - 32 = -p*c. What is the lowest common multiple of 2 and c?
8
Let g = 1/4375389117 + 1148231907478123/145035398450316. Let f = g + -2/8287. What is the common denominator of f and 89/30?
60
What is the lowest common multiple of -2 + 7 + (-9)/(-3) and 334?
1336
Let o be (1051/(-9))/(-1) + 25/(-25). Let c = 3877/36 - o. Find the common denominator of 89/6 and c.
12
Let z = -1 - -1. Let n be (-4)/12*-6*1. Suppose z = -n*y + 4*y - 18. What is the smallest common multiple of y and 5?
45
What is the common denominator of 154/48 - (0 + 2) and -7/204?
408
Let u = -234107/1624584 + -2/15621. Find the common denominator of 47/26 and u.
104
Let z = 1643441/7107086 - 3/35714. Let x = 13483/7960 + z. Calculate the common denominator of 113/18 and x.
360
Suppose 0 = -20*r + 33*r - 156. Calculate the lowest common multiple of r and 60.
60
Let u = -727/14 - -1331/28. Let o = 331/78 + 1/156. Let t = o + u. Calculate the common denominator of t and -1/7.
7
What is the smallest common multiple of 22 and 4/(((-4)/56)/(-1))?
616
Calculate the common denominator of ((-2)/154)/(48/(-1104)) and 1/121.
847
Let u(j) = -j**3 + 4*j**2 + 5*j - 1. Let y be u(-3). Suppose -2*x = 3*a - 38, a - 5*a + y = -x. What is the least common multiple of a and ((-4)/(-10))/(2/10)?
12
Suppose -5101 = 8*w - 25029. Let x = w + -27369/11. Calculate the common denominator of x and -21/5.
55
What is the common denominator of 63/11 - (4 + -3) and -30/79?
869
Let h be (2 - (3 + -1)) + 110. Suppose -4*u - h = -30. Calculate the common denominator of 81/28 and (u/(-50))/((-8)/(-610)).
28
Let l = 37 + -35. Calculate the common denominator of l/(-15) + 544/(-120) and 62/3.
3
Calculate the smallest common multiple of 26/351 + (-6044)/(-54) and 42.
336
Suppose 12*y + 35 = 5*y. Calculate the lowest common multiple of 12 and ((-15)/y)/((-6)/(-16)).
24
Let h = -643/4 + 343/2. Find the common denominator of h and 43/10.
20
Let x = 33/16 - 77/48. Find the common denominator of x and 17/24.
24
Let f(s) = -276 + 4*s + 3*s**2 - 4*s**2 + 285. Calculate the lowest common multiple of 20 and f(5).
20
Let k(w) = -17*w**3 + 2*w**2 + 4*w - 5. Let s be k(2). What is the common denominator of 37/(12/10*s/(-10)) and -71/24?
120
Let c = 0 - -12. Let d be ((-135)/c)/(3/(-8)). Find the common denominator of (d/11)/((-4)/6) and 26/3.
33
Calculate the smallest common multiple of (-1)/((-17 - -10) + (-6592)/(-942)) and 24.
3768
What is the lowest common multiple of -11 - 75/(-5) - 0 and 0 - -17 - (3 - 2)?
16
Suppose 0 = 3*i + 6 - 33. What is the common denominator of 59/60 and i/2*(-74)/(-42)?
420
Let y = -2/915 - 878/183. Find the common denominator of y and -11/27.
135
Let s = 397045/24 + -16538. Find the common denominator of s and 45/16.
48
Let x = -73518 - -3528737/48. Calculate the common denominator of 61/138 and x.
1104
Suppose -7*d + 6*d = -2*y - 12, 3*d - 5*y - 38 = 0. What is the smallest common multiple of 226 and d?
1808
Find the common denominator of 67/2508 and -2 + 3 + (-219)/12*-2.
2508
Calculate the common denominator of -127/110 and 50/(3*(-220)/45).
110
Let w(l) = -l**2 + 4*l + 20. Suppose -37 + 7 = -5*b. Let i(x) = 2*x**2 + x. What is the lowest common multiple of i(-1) and w(b)?
8
Let q = -72407/10 - -7232. Let h = -30953/22 - -1407. What is the common denominator of q and h?
110
Suppose -5*j + 32 - 3 = 2*g, -2*g - 21 = -5*j. Let f(r) = -r + 17. Let w(t) = 11*t - 7. Let o be w(2). Calculate the smallest common multiple of f(o) and j.
