 Calculate the common denominator of q and -93/10.
3010
Suppose d - 13 = -g, 3*g - 29*d = -24*d + 15. Calculate the least common multiple of (-5)/g + 93/6 and 4.
60
Let v(h) be the third derivative of -h**5/20 + 7*h**4/3 + 19*h**3/6 - 266*h**2. Calculate the smallest common multiple of v(13) and 55.
2640
Let q(n) = -9*n + 22. Let z be q(-2). Suppose -1309 = -z*g + 3091. Calculate the lowest common multiple of 100 and g.
1100
Let t = 1722/11 - 4269/22. What is the common denominator of t and 22/77 + 698/2604?
186
Suppose -2*u + 2 = 0, -2*w - 2*u + 10 = -6*u. Calculate the lowest common multiple of 8 and w.
56
Let v = 98902998341525549/265608 - 372364530968. Let y = 34/1953 + v. Find the common denominator of y and 37/14.
952
What is the common denominator of 103/28 and 6 + (-145)/25 - 5247/2160?
336
Let t(q) = -20*q**2 - 4*q - 3. Let h be t(-1). Let l = h - -13. Find the common denominator of -101/6 and l/27 - (-1300)/72.
6
Suppose 0 = 4*u - 2*u - 128. Let n(i) = 4*i**3 + 99*i**2 + 71*i + 51. Let c be n(-24). Let a = c - u. What is the least common multiple of a and 11?
11
Let n = -21 - -26. What is the smallest common multiple of 1 and 68/16 - 3*n/(-20)?
5
Let n(t) = 15 + 23*t + 12*t**2 - 30 + 15 - 7*t**2. What is the smallest common multiple of 70 and n(-5)?
70
Let g be 8/((-96)/20) + (-1354)/(-870). Let c = 8006/1595 + g. Calculate the common denominator of c and 0 - 2/(-16)*9.
88
Let a(d) = -d**3 - 21*d**2 - 2*d - 31. Let h be a(-21). Suppose 0 = -h*o + 12*o + 21. What is the common denominator of o and ((-5)/12)/(2/34)?
12
What is the common denominator of -5 - -21 - 37962/2368 and -91/6?
96
Suppose 3*d = -d + 14*d. Suppose -4*o + 56 = -16*t + 19*t, d = -o + 2. What is the least common multiple of t and 30?
240
Suppose y = -s + 21, 2*y = -7*s + 11*s - 114. Let q = 38 - s. Let m(l) = -6*l - 2. Calculate the lowest common multiple of q and m(-3).
48
Let r = -103760444/3303 + 31414. Let v = -97969/33030 + r. What is the common denominator of 39/20 and v?
60
Let o = 30 - -22. Let s be 5143064/(-650) + (-8)/o. Let z = s + 7914. Calculate the common denominator of z and 83/6.
150
Let f = -18208 - -400487/22. Let k = 6048868 + -121007533/20. Let o = k - -1509. What is the common denominator of o and f?
220
Let w be 4/8*-14 - -3. Let c(k) = -k**3 - 2*k**2 + 13*k + 22. What is the lowest common multiple of 8 and c(w)?
8
Let a be ((-3)/(-1))/(-2 - (-7)/2). Suppose -n - k = 4*n - 21, -a*n + 2 = 2*k. Calculate the common denominator of 47/8 and ((315/(-12))/n)/3.
8
Calculate the common denominator of (582/60)/(222/30 + -5) and -155/1032.
1032
Let z(o) = -o**3 + 3*o**2 + 6*o - 6. Let f = 0 - -5. Suppose f*t - q - 35 = 30, 3*q - 71 = -4*t. What is the lowest common multiple of z(4) and t?
14
Let n = 5332 + -85361/16. Calculate the common denominator of n and (1/(-4))/((-6)/39).
16
Suppose 9 = -5*n + 109. Let c = -261 - -261. Suppose 0*p + 3*p = d - n, c = -2*d - 3*p + 13. What is the least common multiple of d and 5?
55
Let n(w) = 259*w + 379. What is the lowest common multiple of 1152 and n(-1)?
5760
Let x(m) = m - 9. Let w be x(12). Suppose 0 = -4*v - v - w*p + 8, 3*v - 4*p - 28 = 0. Find the common denominator of 8294/(-780) + 3/((-18)/v) and -51/20.
20
Suppose 455 + 15 = 2*o. Suppose 6*w + 7 - o = 0. Calculate the smallest common multiple of 32 and w.
608
Let p = 626922767/556900357 + -12585/11063. Let q = p + -561785531/72085448. Let l = q + -102/179. What is the common denominator of l and -7/4?
8
Let n be 98 + -12*(-7)/(-14). Suppose n*p - 96*p = -16. What is the lowest common multiple of p and (14 + 0)*(2 + -1)?
28
Let a(r) = -2*r**2 - 20*r - 47. Let p be a(-20). Calculate the common denominator of (-140)/1575*p/16 and -49/6.
60
Suppose 5*b - 1455 = -5*o, -284 = -3*o - b + 583. What is the smallest common multiple of 10 and ((-60)/(-36))/(20/o)?
120
Find the common denominator of (-32)/(-176) - 7/(154/(-1107)) and -69/32.
32
Let r be (-10)/(1680/2188572) - (1 - -1). Let t = -13023 - r. Calculate the common denominator of -109/48 and t.
336
Suppose -475 = 93*y - 4660. Calculate the smallest common multiple of y and 244.
10980
Suppose 3877 = -10*k + 877. Let y be (3/12)/((-3)/k). Suppose 3*l - 3*b = b + y, -3*l = -3*b - 21. Calculate the least common multiple of l and 24.
24
Let b(f) = -f**3 - 6*f**2 + 18*f + 91. Let p be b(-5). Calculate the lowest common multiple of 440/40*p/(-22) and 10.
60
Let u be 7288/(-30) + (-14)/35. Let h = u - -23333/96. What is the common denominator of h and 5 + -2 + -8 + (-402)/(-40)?
160
What is the common denominator of -11 + ((-1135)/(-90) - 3) and ((-248)/50)/((-2)/(-5))?
90
Let p be (-118)/(-8) - 8/(-32). Suppose 6*a + 4*q = 5*a + 15, 5*a + 3*q = 41. Let i = p + a. What is the lowest common multiple of 14 and i?
154
Let f be (-826356)/1650 + 4/22. Let a = f + 735412/1425. Let u = 53/38 + a. Find the common denominator of u and -45/14.
42
Suppose -4467 = 223*v - 35687. Calculate the least common multiple of 2765 and v.
11060
Suppose -3*s + 30 = 3. Let n(a) be the third derivative of a**4/8 + 119*a**3/6 - 139*a**2. Calculate the least common multiple of n(-38) and s.
45
Let m = -55 - -65. Suppose -3*x - m = -2*c, x - 42 = -9*c + 4*c. Let y(s) = 3*s**2 - 2. Calculate the least common multiple of y(2) and c.
40
Let q = 34781609/630 - 1159288/21. Let u = -316/105 - q. Let n = 17658/11 + -71523/44. What is the common denominator of u and n?
36
Suppose -2*j + 23 = 11. Suppose -3 = -j*o + 45. Suppose 2*f - 28 = -4*p, 365*f - 7 = -p + 360*f. What is the smallest common multiple of p and o?
56
Let b = -17108 - -17262. Suppose 2*s - s + 5*v = 3, 3 = -3*v. What is the smallest common multiple of b and s?
616
Let y = 411 - 408. What is the common denominator of 119/150 and (24/10)/y*(-264)/36?
150
Let o = 4124 - 2618. Calculate the least common multiple of o and 2.
1506
Let n be (-6)/(-144)*4616/20 - 6. Let b = n + -31/10. Calculate the common denominator of b and -37/18.
180
Suppose 125*x - 29006 = 5*x + 7114. Calculate the least common multiple of 344 and x.
2408
Let h be ((-1)/4)/(2/(-24)). Let x be 1/(h - -10*(-3)/12). Calculate the common denominator of 69/2 and (1029/(-948) + 1)*x.
158
Find the common denominator of (-6)/(-32) + (-38266)/113632 and 41/112.
7504
What is the least common multiple of ((-2)/(-10) + 23210/(-550))*(-4)/3 and 756?
1512
Suppose -22*t - 59*t - 2349 = 6*t. Let g(p) = -2*p**2 - 1. Let s be g(-4). Let m = t - s. What is the lowest common multiple of 18 and m?
18
Calculate the lowest common multiple of 444 and 112/(-784) + (-318)/(-21).
2220
Calculate the smallest common multiple of 7 and (-4)/18 - 62304/(-432).
1008
Let z = -8167 - -391987/48. What is the common denominator of z and (-2904)/528*26/60?
240
Let l = 307 - 301. Let q(m) = 24*m - 100. Calculate the smallest common multiple of 84 and q(l).
924
Suppose 366001 = 380*q - 255679. What is the smallest common multiple of q and 6?
4908
Let x be (33/(-12))/((-6)/1584). What is the smallest common multiple of 136 and (-108)/(-51) + -2 + x/187?
136
Let i(a) = 11*a**3 + 188*a**2 - 3*a - 270. What is the least common multiple of i(-17) and 56?
280
Let x be (855/(-2) + 5)*(-39)/(-9). Let f(m) = 1816*m**2 - 2*m + 1. Let c be f(1). Let d = x + c. What is the common denominator of 7/8 and d?
24
Let u = 5681 + -34225/6. Let y = 5123/7314 + -191/106. What is the common denominator of u and y?
138
Calculate the common denominator of 33/160 and 19/7904*13 - (-5)/(5/2).
160
Suppose -36*s - 2190 = -26*s. Let q = -156 - s. What is the smallest common multiple of 161 and q?
1449
Suppose 133*b - 10 = 128*b. Calculate the common denominator of 2/15 and 543/(-81) + b - (1 + -3).
135
Suppose 56 = 3*h + h. Suppose -7*w + 42 = h*w. Let q(v) = -v**3 - 5*v**2 + 5*v + 6. What is the lowest common multiple of w and q(-6)?
12
Let g = -7373/13 - -1084598/1911. Find the common denominator of 25/147 and g.
147
Find the common denominator of 53382/(-440496) + ((-6)/19)/3 and 19/132.
6072
Suppose 4*h = -12, -4*j - 24 = -4*h + 8*h. Calculate the common denominator of (24/(-180))/(j/(-15)) and (-2)/12*(-32)/(-6).
9
Let t = 1244806 - 11250181/9. Let u = t - -5221. Calculate the common denominator of u and 13/96.
288
Suppose 2537 + 48343 = 53*h. What is the common denominator