308. Calculate the common denominator of u and -73/9.
86193
Suppose 4*z + 2*p + 32 = 300, 0 = 4*z + 5*p - 262. Calculate the smallest common multiple of z and 68.
68
Suppose -5 + 195 = f - 5*x + x, 0 = -2*x. What is the smallest common multiple of f and 100?
1900
What is the common denominator of ((-12)/(-5))/(-2) - 1/360*2468 and 97/202?
1818
Suppose -b = 4*q - 7, 7*q = b + 4*q - 21. Let r = -23 - -100. Let s = -62 + r. What is the smallest common multiple of b and s?
15
Let m be (-1 - (-134254)/(-13062))*(-294)/1008. Let r = m + 5/311. What is the common denominator of 87/32 and r?
288
Let y = -34 - -37. Suppose -4*t + 112 = y*b, b + 3*t + 4 - 48 = 0. Calculate the common denominator of 180/b*4/50 and 43/28.
140
Let p(a) = 936*a**3 - 6*a**2 + 6. Calculate the lowest common multiple of 54 and p(1).
2808
Let y = -2180721/80 + 27258. Let b = 37807/4 + -9586. Let f = 483/4 + b. What is the common denominator of y and f?
80
Let y = 454/9 + -1673/18. What is the common denominator of y and 107/2160?
2160
Let o(f) = f**2 - 2*f - 3. Suppose 24 = 3*d + 3*d. Let h be (-5 + -5)*d/(-8). Calculate the common denominator of -13/3 and o(h).
3
Let g(c) = 48*c**2 + 67*c - 209. Calculate the smallest common multiple of g(-9) and 4.
3076
Let i(b) = b**3 - 8*b**2 + 8*b. Let z be i(7). What is the least common multiple of 7 and (0 - -2)/(z*5/490)?
28
Suppose -47*z = -49*z + 8. Suppose i - 3 = -5*h, 2*i + 6 = z*i - 3*h. Let b(q) = -9*q + 2. What is the smallest common multiple of i and b(-1)?
33
Suppose -33 = -4*l + l. Suppose 0 = -a + 11*a + 4020. Let k = -374 - a. Calculate the smallest common multiple of k and l.
308
Suppose 5*o + 2*j = 319, o - 72 = 3*j + 2. Let b = o + -67. What is the common denominator of 5 - 224*b/(-106) and -64/3?
159
Suppose 4*z = 4*v + 36, -14*v + 10*v = 5*z - 9. What is the lowest common multiple of z and 150?
150
Find the common denominator of ((-41492)/573804)/((-1 + (-3)/(-2))/3) and 13/231.
2079
Let b = 3954 + -3699. What is the least common multiple of b and 850?
2550
Find the common denominator of 47/26 and (1 + 3171/(-56))*(-6)/75.
260
Let j = -1 - -1. Suppose -5*b + 9*b - 4 = j. Find the common denominator of 3 - b - (-154)/28 and -77/6.
6
Let x be (-3732)/(-36)*2/(-6). Let n = 32179 - 289915/9. Let r = n - x. What is the common denominator of 47/9 and r?
9
Suppose 0*n = 13*n - 65. Suppose 13*m + 5 = 12*m, -4*m = n*g + 125. What is the common denominator of -39/5 and g?
5
Let z = 1398632/623 - 2245. Find the common denominator of z and 7/22.
13706
Suppose 3*y + 9 = -4*a - 5, -3*a - 15 = 0. Suppose 0 = 3*d - j - 30, -d - y*j + 39 = 2*d. Calculate the lowest common multiple of 97 and d.
1067
Let n(t) be the second derivative of t**4/12 + t**3/2 - 12*t**2 + 21*t. Calculate the smallest common multiple of (-25)/(-2)*16/10 and n(-7).
20
Calculate the common denominator of 1128/(-1422) - (-3 - -2) and 82/21.
1659
Let k = 1459/63 + -173/7. Let i = 756581/1805 + -1053/722. Let s = i + -410. What is the common denominator of k and s?
90
Let o be 29 + (-6)/3*(-9)/(-6). Find the common denominator of -23/7 and 11/((-99)/(-36)) + o/4.
14
Suppose -24*w + 21*w + 576 = 0. Let m = w + -162. Calculate the least common multiple of m and 20.
60
Suppose -v = v + j - 8, -20 = -2*v - 4*j. What is the common denominator of 7 + 393*v/(-60) and 7/10?
10
Let q(r) = -r**3 + 2*r + 4. Let i be q(-2). Suppose 0 = -i*y + 11*y - 15. Suppose y*z - 119 = -24. Calculate the least common multiple of 6 and z.
114
Suppose 33 = -m + 10. Let a(p) = p**2 + 24*p + 23. Let h be a(m). Suppose -d + b + 12 = h, 16 = 4*d - 2*b - 24. Calculate the lowest common multiple of d and 7.
56
What is the smallest common multiple of -50*(10 - 1102/95) and 48?
240
Let q(c) be the first derivative of -c**3/3 - 14*c**2 - 36*c + 2. Let j = 687 + -713. What is the lowest common multiple of 20 and q(j)?
80
Suppose 9728 = 48*m - 40*m. Let q = m - 11017/9. Calculate the common denominator of 4/14 + (-3 - (-699)/1008) and q.
144
Let r = 1687 + -831. Suppose 0 = 10*u - 8*u - r. What is the lowest common multiple of 10 and u?
2140
Suppose -55*l = -53*l - 28. Let d(z) = z**3 + 5*z**2 - 4*z - 6. What is the least common multiple of d(-5) and l?
14
Let l be 114/(-4)*13/26. Let n = l + 24. Find the common denominator of (3/192)/(3/(-246)) and n.
32
Let g = -395 + 399. Suppose 32*w + g + 156 = 0. What is the common denominator of 73/4 and w?
4
Suppose 0 = 2*l - 4*i + 20, -4*l = -l + i + 2. Find the common denominator of l and 3255/(-140)*(1 + -2).
4
Suppose 0 = -145*a + 140*a + 970. Suppose 0 = -2*x - i + 98, -2*x - 2*x - i + a = 0. Calculate the least common multiple of 66 and x.
528
What is the common denominator of 73/1006 and (40/1020*17)/(16/166)?
6036
Let c = 512629 + 36580. Let h = c + -3285047/6. Let p = -1694 + h. What is the common denominator of p and 3/7?
42
Suppose 349*h - 368*h = -255626. Calculate the smallest common multiple of h and 4.
26908
Suppose 4*z - 1116 = -4*s, -795 = -3*s - 3*z + 7*z. Calculate the least common multiple of 13 and s.
273
Suppose 5*k - 79 = r, -610*k - 65 = -614*k + r. Calculate the lowest common multiple of k and 2086.
2086
Let h(t) = -3*t**3 + 22*t**2 + 124*t - 9. What is the least common multiple of h(11) and 1575?
12600
Let t be ((-150132)/(-9))/((-65)/(-20)). Let x = 5133 - t. What is the common denominator of x and -16/33?
429
Let i(o) = o**2 - 6*o - 55. Let n be i(-4). What is the smallest common multiple of 16 and -7*n/(105/14)?
112
Let p = 12800 - 179245/14. What is the common denominator of -12/875 and p?
1750
Suppose 0 = -2*a + 4 + 28. Let c be (8/(-2))/a + (-12)/16. What is the common denominator of 27/(-21) - c - (-3159)/5985 and 139/6?
570
What is the lowest common multiple of 182/42*6*5 and 104?
520
Let a = 25119 - 25116. Let b be (-1)/2*4/1044. Let k = -29747/3654 + b. Find the common denominator of a and k.
7
Let r = 2467/4 - 150509/244. Let j = -955/42 + -100/21. Find the common denominator of r and j.
122
Let t(i) = 3*i**3 - 3*i**2 + 11*i - 3. Let r be t(3). What is the common denominator of (-2)/4 + 185/r and -1/98?
588
Suppose 6*v - 3*v - 9 = 0. Suppose -5*m - 4*b = 50, 2*b = -b. What is the smallest common multiple of v and m/((3 - 2) + -3)?
15
Let h be 14036/10 - (5/10 - 1). Let c = h - 1407. Calculate the common denominator of c and 34/151.
1510
Suppose -3*p + 20 - 2 = 0. Suppose -283*o = -2220 - 13062. What is the least common multiple of p and o?
54
Let h be 3/876*(-956)/10. Let d = -1/608 + -1143/44384. Let y = h - d. Find the common denominator of 26/3 and y.
30
Let u be (-8)/36 + (-24709641)/864. Suppose 0*i + 5*i - 143010 = 0. Let n = i + u. Calculate the common denominator of -91/16 and n.
32
Let h(g) = 9*g - 20. Let u be h(3). What is the common denominator of 8 + 6248/(-384) + u and -103/40?
240
Suppose 0 = 5*f + 14 + 26. Suppose -2*b - 3*b - 65 = -5*i, -2*i = b + 10. What is the common denominator of 58/5 and (f - b) + 1/8?
40
Suppose 0 = -d, 4*y + 3*d = 6*d + 100. Let q = -104 + y. Let z = -41 - q. Calculate the least common multiple of 12 and z.
228
Let r(l) = -5*l + 1. Let s be r(-4). Let t = s - 12. Suppose -15*p + 17*p - 10 = 0. Calculate the lowest common multiple of p and t.
45
Let u(x) = 6*x**2 + 2*x + 1. Let z be (3 + -3 - -1) + 18. Let i = z - 13. What is the least common multiple of i and u(-2)?
42
Let k = 10781 - 549875/51. Find the common denominator of 53/442 and k.
1326
Calculate the common denominator of ((-26)/(-66))/(6/(-84)) + (-5 - -9) and -19/4572.
50292
What is the common denominator of 137/198 and (-2582)/(-288) + (128 - 137)?
1584
Let t(g) = -g**3 + 7*g**2 + 1. Let f(p) = 2*p**2 - 10*p + 7. Let c be f(5). Let i be t(c). What is the lowest common multiple of 30 and (4 + 7 + i)*1?
60
Calculate the smallest common multiple of 1/(11/(-1592))*-4 - (-7)/77 and 7.
4053
Calculate the smallest common multiple of (-116 - (-7 - 0))/(11 - 12) and 654.
654
Suppose 12 = -3*s - 12. Let l = 1/1328 + -21253/6640. Calculate the common denominator of ((-34)/s)/((-2)/(-6)) and l.
20
Suppose -7*r + 54 - 19 = 0. Suppose r*h - 6 = -3*x + 116, -4*x - 29 = -h. Suppose 4*b + h = 9*b. What is the lowest common multiple of 5 and b?
5
Let y(h) = -5*h - 145. Let d be y(-30). Let v(m) = -m**3 + 6*m**2 + 6*m. Let q be v(5). What