d 30/165 - m/11.
32
Let j(q) = 2*q**2 - 8*q - 1. Suppose 2*d + 3*g = 4, -2*d + 5*d - 2*g = 32. Let k be j(d). Calculate the common denominator of -25/8 and (-9)/(-21)*k/10.
40
Suppose -2 = -3*f + 7. Let s be 0 - (4/(-2) + -2). Suppose -9*o = -s*o - 50. What is the smallest common multiple of f and o?
30
Suppose 15*y - 4 = 11*y. Let f = -17469/8 - -2194. Calculate the common denominator of y - (188/(-16))/(-1) and f.
8
Let j be (-6)/(-45) - (-182)/(-15). What is the common denominator of (j - -13)*(-213)/105 and -72/35?
35
Let j(t) = -t + 11. Let h = -65 - -70. What is the least common multiple of j(h) and 21?
42
Suppose -831 + 181 = 5*i. Let u be i/(-8) - 2/8. Calculate the common denominator of (-9)/(-22) + u/4 and -117/14.
154
Let z = 6018 - 72155/12. Calculate the common denominator of -71/172 and z.
516
Calculate the common denominator of (-332)/(-6)*-4*14/9184 and 29/21.
1722
Suppose -2*v + 236 = -5*t, -3*v + 4*t - 3*t + 354 = 0. Calculate the smallest common multiple of 20 and v.
1180
Find the common denominator of 23/56 and ((-51)/49)/((-70)/7 - -11).
392
Let g be 59538/16240 + 18/(-48). Let c = g - -46/609. What is the common denominator of -23/6 and c?
30
Let m = -16528 - -363677/22. Find the common denominator of m and -42/55.
110
Let h = -55 + 112. What is the lowest common multiple of h and 18?
342
Let y(t) = 4*t + 24. Calculate the lowest common multiple of 54 and y(-5).
108
Let s be (-5089)/15249 - 1/(-3). Let t = -188103/81328 - s. Let b = -31/6 + 116/21. Calculate the common denominator of t and b.
112
Let v = 2931/88 + -255/11. Find the common denominator of 67/76 and v.
152
Let h(z) = 2*z - 11. Let o be h(8). Suppose 0 = i + o*v - 28 + 12, -5*v = -i - 14. What is the smallest common multiple of 10 and i?
10
Let s be 2 + -64 + (-4)/4. Let g = 566/9 + s. Find the common denominator of 45/11 and g.
99
Suppose 4131 = 68*m - 17*m. What is the smallest common multiple of m and 450?
4050
Let a be 3/(4/(-2) - -3). Let c be 3/7 + 995/(-35). Calculate the common denominator of -75/4 and 0 + a - (-262)/c.
28
Let q = -3488 + 73270/21. What is the common denominator of -5/12 and q?
84
Let f(p) = -p**2. Let l(m) = -18*m**3 + 4*m**2 + m. Let n(g) = 3*f(g) + l(g). Let q be 275/(-325) + 2/(-13). What is the least common multiple of n(q) and 10?
90
What is the lowest common multiple of 2*5 - (-8)/(-96)*0 and 72?
360
Let x = -23 + 31. Suppose -10 = x*i - 26. Calculate the smallest common multiple of i and 2.
2
Suppose 3*x - y - 14 = y, 0 = -5*x + 4*y + 24. Suppose 0 = -k - x, 3*k = 4*g + k - 32. Calculate the lowest common multiple of g and 16.
48
Let h(z) = -6*z + 144. Calculate the lowest common multiple of h(20) and 21.
168
Let t(h) = h**3 - 5*h**2 - 3*h + 2. Suppose -12*f - 32 + 56 = 0. Calculate the least common multiple of t(6) and f.
20
Let o be ((-996)/(-18))/((-32)/3027). Let a = 6576 - 1346. Let b = a + o. Find the common denominator of 31/20 and b.
80
Let y be (1/(-3))/((-1)/12) - 0. What is the smallest common multiple of 145/4 + y/(-64)*4 and 8?
72
Suppose 0 = 5*h + i + 19, 4*i - 2 = -2*h - 24. Find the common denominator of -113/20 and 707/21*h/(-110).
220
Let u = -8 + 12. What is the smallest common multiple of u and 75/(-10)*48/(-20)?
36
Let l = -19537/6 - -3241. Find the common denominator of l and -131/102.
102
Suppose -2*p = -0*p - k - 52, 0 = -2*k - 8. Suppose -4*y = -5*y + 18. What is the least common multiple of p/(-9)*(-2 - 1) and y?
72
Let v(q) = -q**3 - 6*q**2 + 6*q - 5. Let l be v(-7). Let i be l/(-9) + 96/(-54). Let a(z) = -4*z - 5. Calculate the least common multiple of a(i) and 9.
9
Calculate the lowest common multiple of (11 - 18)*40/(-14) and 8.
40
Suppose p - 48 = -3*p. Suppose 5*o - 8 = o, -5*z + 72 = -4*o. Calculate the lowest common multiple of z and p.
48
Suppose -8 = -4*k + 5*k. Suppose 0 = -7*h + 5*h + 356. What is the common denominator of (8/16)/(k/h) and -99/8?
8
Let v be (2/(-8))/(1/1042). Let r = -32/33 - -68401/264. Let q = r + v. Find the common denominator of q and 143/18.
72
Calculate the common denominator of 7/36 and ((-520)/36)/(-10) + (-1)/(-1).
36
Suppose -2*j + 147 = j. Suppose 0 = 5*n, 5*p - 2*n = 36 - 6. What is the smallest common multiple of j and p?
294
Let i = 1/1961 + -80415/27454. Suppose o = -3*o + 24. Calculate the common denominator of (o/(-24))/(4/(-66)) and i.
56
Let a(p) = 2*p. Let z be a(2). Let w(n) = 3*n - 6. Let u(d) = -10*d + 19. Let q(m) = z*u(m) + 14*w(m). Calculate the least common multiple of 18 and q(5).
18
Let w be 0 + 11/(-2)*-8. Suppose 3*t - 13 - 15 = 4*c, 4*t - w = 4*c. Calculate the smallest common multiple of 1 - -1 - (-2 - t) and 2.
20
Let y = -1104 + 1182. Calculate the smallest common multiple of y and 24.
312
Let p = 23810 - 1047707/44. Let l = -164173/74130 + 2/5295. What is the common denominator of p and l?
308
Suppose 0 = -c + 2 + 38. What is the least common multiple of 36 and c?
360
Let q be (-25774)/48 - (-1)/3. Suppose 3*b + 800 = -2*s - 264, -2*b = -s - 539. Let j = q - s. What is the common denominator of j and -67/10?
40
Let g(b) = b**3 - 19*b**2 + 6*b - 14. Let v be g(19). Suppose -14*n + v = -9*n. Calculate the least common multiple of 7 and n.
140
Let d(a) be the first derivative of a**2 + 19*a + 3. Calculate the smallest common multiple of 12 and d(-6).
84
Let a = -210759/98 - -2150. Find the common denominator of -91/18 and a.
882
Suppose x - 4*o + 34 = 0, 5*o = -5*x - 0*o - 145. Let g = x + 94/3. Calculate the common denominator of (-688)/(-140) - 4/(-14) and g.
15
Let v(t) = t**2 - 3*t + 3. What is the smallest common multiple of 9/5 - 2/5 - (-4592)/(-11480) and v(4)?
7
Suppose -j - 2*j + 9 = 0. Suppose -4 + 1 = -j*o. Let g = o + 8. What is the lowest common multiple of 5 and g?
45
Suppose 2*a - 5 = -2*q - 1, -4*a + 4 = 2*q. Let h be ((-5)/4)/(3/12). Calculate the lowest common multiple of 3/(-6) - h/2 and q.
2
Let r be (2 + -3 - 0)*0. Suppose 2*w - 100 + 34 = r. What is the lowest common multiple of w and 11?
33
Let p = 8 - 9. Find the common denominator of (-595)/14 - (3 + p) and 54*(4 - 43/11).
22
Suppose -389 = -5*f + 91. Let w = -22 - f. Find the common denominator of ((-2)/48)/((-1)/w) and 13/16.
48
Suppose 2*y + 3*y - 5 = 0. Let g(z) = 0*z**2 + 7 + 14 + 12*z + 4*z**2 - 3*z**2. Calculate the lowest common multiple of y and g(-11).
10
Calculate the lowest common multiple of 2120/28 + 12/42 and 20.
380
Let q = 208349/780 + -3435/13. What is the common denominator of -19/12 and q?
60
Calculate the common denominator of (30/120)/((-1)/(-39)) and 13/100.
100
Suppose 0 = -v + 3*p + 10, -7*v + 2*p = -2*v - 50. Let d(m) = m + 1. Let c be d(v). Let a = c - 3. Calculate the smallest common multiple of a and 6.
24
Let i(o) = o. Let h(l) = -l + 18. Let q(z) = h(z) + 3*i(z). What is the least common multiple of 22 + 1 + (-2 - -1) and q(5)?
308
Suppose 4 = k + 2. Calculate the least common multiple of -48*((-1)/3)/(-4 + 98/21) and k.
24
Let i = -1014004/155 - -6542. Let h = 4423/1860 + i. Calculate the common denominator of -58/21 and h.
84
Calculate the lowest common multiple of 190 and 453 - 6/(-12)*6.
2280
Let f = -32 + 28. Find the common denominator of (-7)/(-56) - 9/f and 33/70.
280
What is the common denominator of 33 and (-2)/(-30)*(-111)/7992?
1080
Suppose 0 = 5*w + 3*o + 18, o = -w + 4*o. What is the common denominator of (-4 - -1)*(-194)/(-36) and (-1565)/150 + 2/w?
30
Suppose -3*p - 5*u + 15 + 23 = 0, 5*p - 42 = -3*u. Calculate the least common multiple of p and (-18)/20*10/12 + (-172)/(-16).
30
Calculate the common denominator of 247/36 + 30/135 and -67/1154.
6924
Let k = 706 - 201871/286. Find the common denominator of k and 107/182.
2002
What is the lowest common multiple of 630 and 120/5*2/4?
1260
Suppose -t - i - 3*i + 44 = 0, -2*i - 248 = -4*t. Suppose 0 = 17*p - 20*p + t. What is the least common multiple of p and 66?
660
Suppose v - 2*y = -0*y - 7, v - 5 = -y. Let a(l) = -l**3 + v - 1 - 2*l**2 + 3*l + 0*l + 2. Calculate the least common multiple of a(-3) and 4.
4
Let k be (10/15)/(3/9). Suppose 0 = k*f, -32 = 2*w - 2*f - 2*f. Find the common denominator of 51/11 and 138/w + -1 + -1.
88
Let d(t) = t**2 - 9*t - 9. Let h be d(10). What is the common denominator of -139/6 and (26/9)/(h*4/(-5))?
18
Let m = 265 - 6953/26. What is