4
Let m(t) = -t + 2. Let q be m(0). Suppose -w = q*w + 12. Let r = -2 - w. Calculate the least common multiple of r and 4.
4
Let c(h) = h**2 + 3*h + 4. Let n(f) = 4 - 8*f**2 - 2*f + 7*f**2 - f. What is the smallest common multiple of c(-3) and n(-3)?
4
Find the common denominator of -9/11 and 41/4 - 7/(-56).
88
Let c = 4269 - 42651/10. Find the common denominator of c and 85/28.
140
Suppose k + 1 = 2. Let j be (-18)/(-8) - (-3)/(-12). Let n = k + j. What is the smallest common multiple of 10 and n?
30
What is the common denominator of (-1)/2 - (-15)/(-11) and (-9)/(-4)*-3 - 65/39?
132
Let s = -3/362 - -13225/1448. Let x = -20028756291/770 - -26011380. Let r = 9/55 + x. Calculate the common denominator of s and r.
56
Suppose 5 = v - 1. Suppose 3*l = v*l. Calculate the common denominator of (-24*(l + 2))/5 and 115/6.
30
Suppose 0*t - 5*o + 73 = 3*t, 20 = 4*o. Let g = 11 - 8. Suppose -g*d = 4*z - 39, 0 = 2*z + 3*z - 5*d - 75. What is the least common multiple of z and t?
48
Let m = -5 + 2. What is the lowest common multiple of (2*4)/(1/1) and (-3)/m*22/2?
88
Let m(b) = b**2 - 15*b + 56. Calculate the least common multiple of 30 and m(11).
60
Suppose 0 = -5*c - s - 21, 0 = -5*c - 2*s + 7 - 29. Calculate the smallest common multiple of (18/27)/(c/(-54)) and 2.
18
Suppose -11 + 5 = -p. Calculate the smallest common multiple of 18 and p.
18
Let m = 2 + -4. Let n(g) = -g**3 + 2*g**2 + 2*g - 1. Suppose -3*r = -4*c - 13 - 3, 0 = 4*r - 5*c - 22. Calculate the smallest common multiple of r and n(m).
88
Let d(c) = -c. Let h be d(-8). Suppose -4*w - 628 = -4*g + h*g, -5*w = -g - 187. Find the common denominator of 2 + 1 + g/4 and -77/8.
8
What is the smallest common multiple of (11/3)/(1/6) and (-4 - 1*-2)/((-7)/7)?
22
Suppose -3*h = -3*z - 42, -h + 5*z = 3*h - 61. What is the smallest common multiple of h and 3?
9
Let x = 9411/176 - 527/11. Calculate the common denominator of x and -47/2.
16
Let o = -663/16 - -12839/272. Let p = 1363/204 - o. Calculate the common denominator of -3/22 and p.
132
Let n(h) be the second derivative of -h**4/12 + 4*h**3/3 - 3*h**2/2 - h. What is the lowest common multiple of 1 and n(6)?
9
Let t = 11591/78 - 2090/13. Suppose f - 2*f - 2*a + 74 = 0, 0 = 5*f - a - 348. What is the common denominator of t and 6/15 + 152/f?
42
Find the common denominator of (-2)/5 + (-1421)/385 and 64/3.
33
Suppose 32 = -g + 60. What is the smallest common multiple of g and 16?
112
Let l(p) be the third derivative of -p**5/60 + p**4/3 - p**3 + p**2. Calculate the lowest common multiple of 5 and l(5).
45
Suppose 0*k - 2*k + 200 = -3*f, 5*f + 114 = k. Suppose -3*j - 2*y - 38 - k = 0, 3*y = -3*j - 129. Calculate the common denominator of -1*2/((-24)/26) and j.
6
Suppose -j = -8*m + 5*m + 91, -151 = -5*m + j. Calculate the least common multiple of 20 and m.
60
Suppose -5*r = v + 5, -v + 5*r + 2 = -3. Suppose -3*m = -v*m - 12. Suppose -24 - m = -4*i. Calculate the lowest common multiple of 2 and i.
14
Calculate the common denominator of 33/42*-10 - -3 and -1/2.
14
Let g(u) = u**2 + u - 4. Let m be 1/(-1 - 6/(-9)). Calculate the smallest common multiple of g(m) and 4.
4
Find the common denominator of 8/(-32) - (-314)/(-56) and -71/3.
21
Let c = -123 - -125. Calculate the smallest common multiple of 68 and c.
68
Let r = -8 - -6. What is the common denominator of -137/6 and (-1 - r)/(16/13)?
48
Let m be 11*2/(-6)*9. Let u = m - -49. Find the common denominator of 372/u*(-4)/(-66) and -85/8.
88
Let n(m) = m**2 + 11*m + 5. What is the lowest common multiple of 3 and n(-11)?
15
Let n = 26186393 - 576324891/22. Let u = n - -10198. Find the common denominator of u and ((-7)/(-4))/(11/14).
22
Let t be -39 + -1*(0 + 0). Calculate the common denominator of -6*1/44*3 and t/(-16) - (-1)/(-2).
176
Let q(x) = 61*x + 123. What is the least common multiple of (1/((-2)/(-6)))/1 and q(-2)?
3
Let k = -16/475 - 23873/10450. Calculate the common denominator of 127/6 and k.
66
Let b be (-2 + -2 + 1)*-15. Suppose -6*n = -4*n. Suppose n = 2*h - u - b, 0 = -3*h + h + 5*u + 49. What is the least common multiple of h and 8?
88
Suppose 4 + 8 = 2*q. Suppose z - 36 = -3*z. What is the lowest common multiple of z and (-20)/q*(-24)/10?
72
Calculate the common denominator of -89/24 and -1 - 3 - 784/(-72).
72
Let c(f) = f + 6. Suppose 4*b = -b - 4*i + 34, 0 = -4*b - 5*i + 29. Calculate the smallest common multiple of b and c(0).
6
Let t(x) = -x**2 + 6*x. Let b = 10 - 9. Suppose 5*k = -b + 11. Calculate the lowest common multiple of k and t(3).
18
Calculate the common denominator of -43/24 and (-230)/36*(4/(-7) + 1).
168
Calculate the smallest common multiple of 6 and 89/5 - 2/(-10).
18
Let t = -26597/6440 + 4/805. Let x be ((-218)/(-4))/(4/(-3)). Let s = x - -273/8. What is the common denominator of t and s?
8
Let x = 7 - 16. Let i = 6 + x. Find the common denominator of i - -5 - 73/20 and 139/18.
180
Let c(j) = -9*j**3 + 3*j**2. Let h be c(3). Calculate the common denominator of -113/12 and h/20 - 6/4.
60
Let v = 2436 - 85228/35. Find the common denominator of -17/10 and v.
70
Let z = -6 - -10. Suppose 2*k - 5*i = 49, -2*i = z*k - 40 + 2. Suppose -1 - 3 = -2*f. What is the lowest common multiple of f and k?
12
Let t = 30 + -19. What is the smallest common multiple of t and 9?
99
Let n(r) = -256*r**2 + r. Suppose -2*m + 2 + 0 = 0. Let z be n(m). Let g = z - -794/3. What is the common denominator of -23/4 and g?
12
Let j = -10/189 + 237235/756. Let b = j - 336. Calculate the common denominator of b and 31/20.
20
Suppose 3*v + g + 124 = 0, -33 = v - 4*g - 9. What is the lowest common multiple of (-1*2)/(16/v) and 2?
10
Let b = 281/5 - 44. Let m = 268 - 772/3. Find the common denominator of b and m.
15
Let r(z) = -4*z - 56. Suppose 3*m + 12 = -5*v + 90, 0 = m + 4. Calculate the lowest common multiple of v and r(-18).
144
Find the common denominator of -115/18 and (-2 - 174/15)*(-20)/132.
198
Find the common denominator of 27 and 388/88 - 2/(-4).
11
Let t be 1 + 1/(2/244). Calculate the common denominator of 4/10 - t/270 and (-2)/7 - (-2724)/(-560).
180
Suppose -18*d - 24 = -21*d. What is the lowest common multiple of d and 18?
72
Suppose 4*z + 3 = -9. Calculate the smallest common multiple of (4/(5 + z))/1 and 22.
22
Let y(c) = -115*c + 1. Let i be y(-3). Find the common denominator of (-3)/9 + i/(-96) and 49/18.
144
Let h(v) = v**2 - 10*v + 5. Let l be h(10). Suppose 0 = s - 4*o + 2, o = l - 3. Find the common denominator of -7/4 and ((-45)/(-55))/(1/s).
44
Let n = 126029/20 + -6304. What is the common denominator of n and 57/22?
220
Let s(p) = p. Let a(o) = 7*o + 4. Let x(n) = -a(n) + 5*s(n). What is the least common multiple of 10 and x(-6)?
40
Suppose -l + 2*l - 22 = 0. What is the lowest common multiple of 12 and l?
132
Let v(r) = -r**2 - 4*r - 4. Let z be v(-4). What is the lowest common multiple of (26/(-3) - z)*-3 and 18?
126
Let t(m) = -9*m - 3. Let x be t(-5). Find the common denominator of 3/(36/(-231))*2 and 2/6 + 4/x.
14
What is the least common multiple of (8/(-20))/((-2)/30) and 16?
48
Let c be -1*3/(-6)*2. Calculate the lowest common multiple of 1*(-1 - c)*-1 and 4.
4
Let b = 12 - -6. What is the smallest common multiple of 26 and b?
234
Let k(h) = -5*h - 4. What is the lowest common multiple of 348/20 - 0 - (-6)/(-15) and k(-3)?
187
What is the common denominator of (-136)/64 - -4*1 and 41/6?
24
Let i = 82105/3494 - -2/1747. Calculate the common denominator of 97/22 and i.
22
Let g be -9 + (0 - (0 - -3)). Let x = g - -22. What is the smallest common multiple of x and 7?
70
Let v(i) = 6*i - 1. Let x be v(-5). Let c be x/(-2) - 3/(-6). Find the common denominator of 2/9*(-188)/c and -101/16.
144
Find the common denominator of -2*3/(-4) + 168/(-176) and 103/6.
66
Suppose 5*g = 2*d - 16, d - 2 - 4 = 2*g. Find the common denominator of -63/16 and d/(-12)*21/(-11).
176
Let s = -12538801279063/15880 - -789597056. Let o = -1/1985 - s. What is the common denominator of 77/6 and o?
24
What is the common denominator of (-101)/(-6)*9/(-6) and 6/(-30) + (-111)/(-180)?
12
Let j = 17131/7 - 2452. What is the common denominator of -26/11 and j?
77
Let q(j) = -j**3 + 10*j**2 + 3*j - 12. What is the least common multiple of q(10) and 20?
180
Let m(h) = -111*h - 1. Let k be m(-1). Find th