late the common denominator of (a/16)/((-90)/147) and -11/36.
360
Suppose -5*t + 68 + 2 = 0. Let n = t - 14. Find the common denominator of ((-413)/(-14))/(n + -25) and -27/2.
50
Let z(n) = n**3 + 5*n**2 + 3*n + 2. What is the lowest common multiple of (-21)/35 - (1/(-5))/(9/297) and z(-4)?
6
Let h = 807/2 - 381. Suppose 0*b - 6 = -2*b, 0 = -3*l - 2*b - 9. Find the common denominator of h and l/25 - (-738)/140.
14
Suppose 0 = o - b - 2, o - 3*b - 16 = 3*o. What is the common denominator of o/((-88)/226) - 2 and 29/30?
330
Let n = -3 + 3. Suppose n = -2*w + 4*w - 4. Calculate the common denominator of 6*(-1)/10 - w and -49/3.
15
Let t(q) = q**2 - 2*q + 2. Let l be t(3). Suppose 0 = l*c - 31 + 1. Calculate the lowest common multiple of 8 and c.
24
Let y = 15007/10 - 1503. Let i be 9/(3/1) - -635. Let v = i + -2533/4. What is the common denominator of y and v?
20
Suppose 2*i + 0 = -o + 42, 5*o + 30 = 2*i. Let t(b) = -b**3 + 5*b**2 - 2*b + 2. What is the lowest common multiple of i and t(2)?
20
Find the common denominator of -5/24 and (-4)/(-12) - (-133)/(-120).
120
Suppose 80 = -x + 6*x. Suppose -2*w - 6 = 4*u + 78, 0 = -4*u - w - 84. Let f = -15 - u. Calculate the smallest common multiple of f and x.
48
Let m(i) = -i**3 + 9*i**2 - 9*i + 11. Let q be m(8). Suppose -17 = y + 5*o, 7 = 5*y - q*o - 20. What is the lowest common multiple of 4 and (16/(-6))/((-1)/y)?
8
Let b(f) = -f**2 - 10*f - 4. Let y be b(-9). Suppose -y*g = 3*k - 4 - 1, -3*k = 2*g - 2. Calculate the lowest common multiple of 2 and (-12)/(-4) + k - 1.
2
Let u = -51810/19 + 2725. Find the common denominator of (3/15)/(462/16830) and u.
133
Let q(y) = y**2 - 6*y - 4. Let o be q(7). Suppose -t = -23 + o. What is the least common multiple of t and 10?
20
Calculate the common denominator of -3*8/24000*-4 and -39.
250
Let p = 9843 + -118181/12. Find the common denominator of -70/33 and p.
132
What is the common denominator of 48/88 + (-2841)/10230 and 67/10?
310
Let p(k) = -k - 10. Let u be p(-12). Calculate the common denominator of 33/10 and u/36*-3*89.
30
What is the least common multiple of 24 and (27*-4)/(-6) + 0?
72
Suppose -2*g + 39 + 19 = 4*o, -4*o = -5*g - 79. Suppose 34 - o = -3*n. Find the common denominator of (-2 - 1) + (-1)/n and 95/16.
48
Let c = 467907/140 + -3342. What is the common denominator of c and 31/20?
140
Let c = 79467/10 + -7937. Find the common denominator of 95/2 and c.
10
Suppose -13 - 1 = -2*x. Suppose 0 = -4*o + 16, 3*o = -2*v + 11 + x. What is the lowest common multiple of v and 9?
9
Let w = 164 + -188. Find the common denominator of (-1)/w*(-5 - (-846)/14) and 83/22.
462
Let g = -529265/510926 - -6/5941. Find the common denominator of -1*(1 + 45/4) and g.
172
Let q be ((-68)/54)/((-2)/5). Let h be (-3)/(-6) + (-6535)/(-540). Let t = h + q. Find the common denominator of t and -41/6.
12
Let g(f) = f**3 - 3*f**2 + 3*f - 3. Let t be g(2). Let r be -1 + 46/10 + t. Let o = r + -6/5. Find the common denominator of 13/7 and o.
35
Suppose 4*q + z = -0*z + 15, -5*q + 22 = -2*z. Calculate the least common multiple of 30 and -3*4*((-77)/q)/11.
210
Let o = -2187/1648 - -3/206. Calculate the common denominator of 0 + (854/220 - 1/5) and o.
176
Suppose z + g = 2*g + 7, -5*z - 2*g = -7. Let m be (-2)/5 + (-516)/(-15). Let a = -22 + m. Calculate the lowest common multiple of a and z.
12
Let n(g) = -2*g**2 + 6*g**2 + 16*g - 11 - g**2 - 4*g**2. Suppose 5*o = 25, 5 = -3*a - 2*a + 2*o. Calculate the lowest common multiple of a and n(15).
4
Let f = -1682 + 10051/6. What is the common denominator of 54/(-4)*85/969 and f?
114
Suppose -l = -2*m - 7472 + 1283, 4*m = -3*l + 18597. Let z = -37067/6 + l. What is the common denominator of 142/8*(-2)/10 and z?
60
Let c(g) = -g**3 + 15*g**2 + 19*g + 33. What is the lowest common multiple of c(16) and 90?
810
Calculate the smallest common multiple of (-16 - -4)/(6/(-4)) and (-3)/2*(-288)/27.
16
Let w = 20409/10 + -6128/3. What is the common denominator of w and 73/(-54) + (2/4)/1?
270
Let t = -18 + 25. Let h = -25 + t. Find the common denominator of h and 17/2.
2
Suppose -3*f = c - 113, -2*c + 36 = -2*f + 3*f. Let y = f + -30. What is the smallest common multiple of 4 and y?
8
Let g = 36 - -144. Calculate the smallest common multiple of g and 140.
1260
What is the common denominator of -67/36 and (10/(-1120))/(((-6)/(-329))/1)?
288
Let n = 2367/16 - 148. Let t = 584/5 - 243/2. Find the common denominator of n and t.
80
What is the common denominator of (103/54)/(30/18) and -43/50?
450
Let w(u) = 4*u + 6. Let l be w(-1). Let s be (-1)/(-3) - (-1)/(-3). Suppose -l*j = -s - 4. What is the lowest common multiple of j and 8?
8
Let y = -137404/19831 + 1/5666. Find the common denominator of y and 5/15*(-84)/(-184).
322
Let v = -3 + 13. What is the common denominator of (20/(-16))/((-2)/v) and (-54)/(-48)*1*-1?
8
Let u = -164 + 2099/13. Calculate the common denominator of 31/130 and u.
130
Calculate the common denominator of (42/(-90))/((-5)/(350/(-12))) and (-17)/4 + (-15)/25.
180
Suppose -5*u = -2*u - 3*f - 585, 3*f + 15 = 0. What is the smallest common multiple of u and 2?
190
Let j = -67/22 - -83/11. What is the common denominator of j and (-127)/6*2/(-4)?
12
Let k = 1/90590 + 933071/543540. Find the common denominator of 151/216 and k.
1080
Suppose -3*l = -26 + 2. Suppose 6*d - 16 = 2*d - 3*j, 3*j = d + 11. Calculate the least common multiple of l and d*14 + (-12)/6.
24
Let x(p) be the first derivative of -p**3/3 - p**2 + 5*p + 7. Let i be x(-4). What is the lowest common multiple of (-13 + 4 - i)*-1 and 5?
30
Suppose -3*i - 6 = -6*i + 5*s, 5*i = 5*s + 10. Suppose i*q = -2*q + 12. Suppose 2*z + 1 = q. What is the smallest common multiple of z and 10?
10
Let w = -162195212/1218795 + 107909/842. Let c = -5/386 + w. Calculate the common denominator of -5/48 and c.
240
Let w(n) = -n**3 - 7*n**2 - 6*n - 2. Let i be w(-6). Calculate the common denominator of i/(-2)*(-121)/(-20) and (-147)/(-18) + 3 + -7.
60
Let s = 71485/8 - 8924. What is the common denominator of s and ((-8)/(-80))/(4/(-226))?
40
Let f(n) = -7*n - 7. Let i be f(-6). Suppose 0 = -3*z - i + 269. Find the common denominator of z/(-96)*(2 + -1) and -101/2.
16
Let l = 7645087/135 - 56630. Find the common denominator of l and 82/105.
945
Let y(n) = 6*n - 20. Let r be y(3). Suppose -3*c = -15, -b - 4*c = -7*c + 9. What is the least common multiple of b and (5 - -1) + (-5 - -8) + r?
42
Let a(f) = 3*f - 33. Suppose 2*m - 40 = 4*j, 5*m + 8*j - 70 = 3*j. What is the smallest common multiple of 9 and a(m)?
45
Let c(a) = 11*a + 528. Calculate the smallest common multiple of c(-47) and 117.
1287
Let i(b) = 19*b + 71. What is the lowest common multiple of i(7) and 85?
1020
Suppose 1078 + 1292 = 15*h. Calculate the lowest common multiple of 8 and h.
632
Suppose -68*v + 90 = -59*v. What is the smallest common multiple of v and 104?
520
Let v = -107 + 46. Let z = v + 77. What is the smallest common multiple of z and 100?
400
Let k(u) = 2*u - 12. Let w = 20 + -11. Let y be k(w). What is the common denominator of (780/(-16))/(y/1) and -33/4?
8
Suppose 154*x = 159*x - 30. Calculate the smallest common multiple of -1 - 22/(-4)*2 and x.
30
Let x = -67019/2764 - 2/691. Find the common denominator of x and -10/21.
84
Let p = 87092/57 - 1528. Let b = -17/570 + p. Let n = 162/11 - 508/33. Calculate the common denominator of n and b.
30
Let k = -9/334 + 2692/3841. Find the common denominator of ((-3)/18)/(1412/(-684) - -2) and k.
506
Let d = 74 - 50. Suppose 2*t - 68 + d = 0. Calculate the lowest common multiple of t and 6.
66
Let z = -80988/12061 + 1/1723. Let k be (1192/13)/(17 - 11). Let t = 502/13 - k. Calculate the common denominator of z and t.
21
Suppose i + 9 - 29 = 0. Let k = 58483/10 + -5838. What is the common denominator of 114/4*(-8)/i and k?
10
Let k = -70426477/8028 + -6980/2007. Let p = 8787 + k. What is the common denominator of p and 47/34?
204
Calculate the common denominator of 210/16 - 80/40 and (2/19)/((-6)/159).
152
Let y be -8 + 10 + (-343366)/(-82). Let c = -4189 + y. Let o = c + 2587/410. What is the common denominator of o and 45/4?
20
Suppose -5*w = 5*h + 110, -5*w = 3*h + 61 + 43. Let f = -16 - w. Calculate the lowest common multiple of 20 and (8/(-20))/(f/(-135)).
180
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