. What is the lowest common multiple of t and 30?
1590
Let t(u) = u - 9. Let b be t(-6). Find the common denominator of 103/20 and (97/b)/((-324)/(-135)).
180
Let n = -1575/4 - -807/2. Let w = -183 - -184. Calculate the common denominator of n and w - (1 - 66/10).
20
Let o be 1*((-12)/1)/(-2). Suppose 0 = -o*i + 216. Calculate the least common multiple of 15 and i.
180
Calculate the least common multiple of (-87)/(-4) - (-7)/56*2 and 88.
88
Let s be ((-1)/10)/(202/4). Let i = s + 11623/4040. Calculate the common denominator of i and 871/(-34) + (-9)/((-1071)/14).
8
Suppose 4*a = 2*d + 62, 5*d - 3*d = -2*a + 46. What is the smallest common multiple of 9 and a?
18
Let i = 3428 + -37747/11. Find the common denominator of (-3)/(((-99)/(-14))/(-33)) and i.
11
Let k = 2674 - 8093/3. Let v = -306 + -906. Let h = v + 10879/9. Calculate the common denominator of h and k.
9
Suppose 0 = -9*k + 420 - 69. Calculate the lowest common multiple of 10 and k.
390
Find the common denominator of 9 - (-262)/(-32) - (-1 - -2) and (-946)/(-28) - (-4)/(-14).
16
Let o = -48961 + 5483561/112. Find the common denominator of o and -1 + 4 - (-172)/80.
560
Let a = 3317/119 - 435/17. Let c = -1527 - -10664/7. Calculate the common denominator of a and c.
7
Let u = 2 - 8. Let j(z) = z**3 + 9*z**2 + 4*z - 4. Let s be j(u). Suppose 4*b - 3*o + 6*o = s, 60 = 3*b - 5*o. What is the lowest common multiple of b and 12?
60
Let m = 29585053/10 + -2956060. Let f = -1854 - 580. Let n = m + f. Calculate the common denominator of n and 85/12.
60
What is the common denominator of 4/(-3)*87/(-6) and (5*2/(-15))/1*4/14?
21
Let y(g) = 52*g**3 - g. Let j be y(1). Suppose 3*b + 3*m = j, 5*m + 61 = 4*b - 52. Suppose -18*z + 384 = 6*z. What is the least common multiple of z and b?
176
Let i = 11485/548 - -40/137. Find the common denominator of 9/422 and i.
844
Let r = 652 - 616. What is the lowest common multiple of 12 and r?
36
Let v = 27 - 25. Let o(u) = 6*u - 6. Let x be o(11). Suppose -3*l - x = -6*l. What is the lowest common multiple of l and v?
20
Let q = -2032 + 1328. Let v(j) = -j - 1. Let m be v(4). Calculate the lowest common multiple of (-2)/m + q/(-40) and 18.
18
Suppose 11*z + 132 = 176. Calculate the least common multiple of z and (32/20)/((-1)/(-5)).
8
What is the least common multiple of 68 and 1 - (-12)/4*1?
68
Let n = 893 - 857. What is the smallest common multiple of n and 324?
324
Let r be (5 + -111)*(-1 + 5518/4800). Let z = r + 9/400. Calculate the common denominator of -52/21 and z.
42
Let n = -1570925/6 - -267193. Let y = n - 5384. Find the common denominator of y and 26/21.
42
Let m = 248/21 + -25/28. Let h = 340508/69 + -4935. What is the common denominator of m and h?
276
Let v(p) = -140*p + 412. What is the smallest common multiple of 636 and v(2)?
6996
Suppose -x + 5 = -r + 2*r, -2*r = 3*x - 9. Suppose r = -l + 12. Calculate the lowest common multiple of l and 26.
78
Let g be -1*(5 + -5) - -1. Find the common denominator of g/((-71)/23 - -4) and -2/9.
63
Let i = 34 + -42. Let d = i + 17. Suppose -6 = -w + 4*y, -4*w + 9 = -2*w - 5*y. Calculate the least common multiple of w and d.
18
Suppose 0 = -d + f + 8 + 11, 3*d + 5*f = 33. What is the common denominator of 46/3*d/(-192) and -7/16?
144
Let d = -60/11 + 579/88. What is the common denominator of 173/42 and d?
168
Let i = -13 + 18. Suppose d - 5*h = -10, 5*d + i*h - 8 = 32. Let m(v) = v**2 + v - 1. Calculate the smallest common multiple of d and m(-4).
55
Suppose w = -3*w - 68. Let h = w + 22. Suppose -h*z + 2*z = -18. Calculate the least common multiple of z and 6.
6
Find the common denominator of 53/2 and (-2)/6*5467/(-142).
6
Suppose 0 = 6*f - 3*f. Suppose f = 7*s + 4 - 25. Suppose 2*v = -s*a + 17 + 14, -4*v + 60 = 4*a. What is the smallest common multiple of v and 20?
140
Let d be 45/282*(-9868)/(-71072). Let z = d + -17/752. Let t = 124385/19989 + z. Find the common denominator of -15/8 and t.
72
Let q = 3/2225 + -78298/313725. What is the common denominator of q and 20/3?
141
Let f = -4 - -20. Let u(a) = -a**3 + 12*a**2 - 6*a + 24. What is the least common multiple of u(10) and f?
656
Suppose 2*p - 2 = 10. Let i be p/21 + (-64)/28. Find the common denominator of (i/(-24))/((-4)/28) and 23/16.
48
Let l = -4173/148 - -220/37. Find the common denominator of l and 11/68.
68
Suppose 8*j - 3*j = 550. Let u = -5933 - -5943. What is the smallest common multiple of j and u?
110
Let i = 171939 - 55708295/324. Find the common denominator of i and 61/22.
3564
Let r(o) = -12*o**2 - o - 2. Let w be r(-1). Let u = w - -25. What is the smallest common multiple of u and 18?
36
Let c be (-2 + 1)*4/(-8)*-2. What is the lowest common multiple of 21 and c/((-2*2)/4) + 20?
21
Let l be 8 - 0*4/16. What is the least common multiple of 9 and ((-7)/(-3))/(l/24)?
63
Suppose -3*z + 865 = -f, z + 3*z + 5*f - 1185 = 0. Let t = 1831/8 + -222. What is the common denominator of (9/30)/((-4)/z) and t?
8
Let p = -60551/96320 + 1/13760. Let k = 8206 - 40987/5. What is the common denominator of p and k?
35
Let o = -27 + 45. Suppose 6*t = 18 - 0. Suppose 7 = t*q - 23. What is the least common multiple of q and o?
90
What is the common denominator of ((-114)/3)/(600/35 - 0) and -73/100?
300
Let s = 7610/3 + -2562. What is the common denominator of 243/(-70) + (-12)/(-30) and s?
42
Let w = 468 - 156. What is the lowest common multiple of 6 and w?
312
Suppose -183 - 147 = -5*k. Calculate the lowest common multiple of 18 and k.
198
Let b be (5577/(-5))/((-112)/(-10)). Let a = 740/7 + b. Calculate the common denominator of a and 53/7.
56
Suppose -10*z + 0 = -20. Suppose 6 = o + z. Calculate the least common multiple of o and -1*(0 + -1)*1.
4
Let g be 7615/(-25)*(-6 - 0). Let x = g - 1838. Let n = 538549/49410 - -2/4941. What is the common denominator of x and n?
10
Suppose 4*w = -4, 4 = 3*j - w - 609. What is the lowest common multiple of j and 24?
408
Suppose 5*c - 30 = -5*i + 70, 0 = -i - 5*c + 28. Calculate the smallest common multiple of i and 26.
234
What is the common denominator of -19/18 and ((-6)/(-1584))/((-8)/(-1608))?
792
Let k(y) = y**2 + 5*y - 8. Let s = -41 + 107. Suppose 3*t = -0*t + s. Calculate the smallest common multiple of k(-7) and t.
66
Let c(o) = -o + 19. What is the smallest common multiple of c(-6) and 55?
275
Let x be (360/(-100))/(3/(-10)). What is the least common multiple of 1 and (-1)/(-6) - (-82)/x?
7
Let x be (214/204 + -1)/((-18)/(-3272)). Let z = 154/17 - x. Calculate the common denominator of z and 131/30.
270
Let z = -1235 + 808. Let c be 1/(-1) - (-5165)/(-12). Let i = z - c. What is the common denominator of 9/14 and i?
84
Let f(v) = 3*v - 27. Let s be f(9). What is the common denominator of 1 + s + 52/(-16) and 35/(-12) - (0 - 0)?
12
Suppose 0 = 2*h - 3*o - 26, 3*h + 2 - 43 = 5*o. What is the smallest common multiple of 5 and h?
35
Suppose 0 = 2*v - 5*d + 34, -2*v - 4*d = -5*v - 58. Let r = v + 32. Calculate the lowest common multiple of 16 and r.
80
Let u = -44787/37051 + 96/79. Let i = 7519/2345 - u. Find the common denominator of i and 87/2.
10
Calculate the lowest common multiple of 836 and 116/(-145)*(1 + (-34)/4).
2508
Calculate the common denominator of (-153)/(-20)*(-2)/(-3) and 15/(-36)*(-23086)/485.
30
Find the common denominator of 1*130*2/8 and 6/21 - (1 + (-1719)/84).
4
Let f(o) = -o**3 - 6*o**2 - 4*o - 3. Let r be f(-5). Suppose 141*k - 68*k = 88*k - 150. Calculate the lowest common multiple of k and ((-6)/4)/(2/r).
30
Suppose -5*o = k - 46, -17 = -2*o + 5*k + 23. What is the smallest common multiple of o and 20?
20
Let k = -303/25 + 151/12. Calculate the common denominator of -89/80 and k.
1200
Let f(p) be the third derivative of -p**5/60 + 5*p**4/12 - p**3/2 - 5*p**2. Let j be f(9). What is the common denominator of 87/4 and 11 - (j/(-8))/3?
4
Let x(c) = 4*c**2 + 2*c - 2. Let q(j) = 3*j**2 - j. Calculate the least common multiple of q(-1) and x(2).
36
Let v(y) = -8*y**2 - 35*y - 10. What is the lowest common multiple of v(-4) and 20?
20
Let k = 427/5 + -6577/80. What is the common denominator of k and (-18)/12*5/(-10)?
16
Suppose 6*w = w - 15. Let o be (6 - (0 - w)) + 1. Calculate the least common multiple of 7 and o + 4/((-12)/(-9)).
7
Suppose -n - 18 = -4*n. Suppose -5*s - 42 = -17. Let c =