at is the common denominator of 375/108 + (-1)/4 and -38/5?
45
Suppose 2*u - 40 = 7*u. Let f = -5 - u. What is the least common multiple of f and 10?
30
Suppose 5*s - 81 - 36 = 3*b, 3*b = -12. Let j = s + -11. Calculate the lowest common multiple of (5 + 20/(-12))*6/5 and j.
20
Let d(x) = 14*x**2 + 7*x + 7. Let t be d(6). Let s be (-4)/(-5)*(-2738)/4. Let g = t + s. Find the common denominator of -39/2 and g.
10
Let c = -3/404 + -8059/2828. What is the common denominator of 57/2 and c?
14
Calculate the common denominator of 49/30 and (1986/(-18) - -3)/(2*-10).
30
Suppose 2*j + 11 = 3. Let l be (-310)/(-3) + j/(-6). Suppose -5*k = 2*n - 3*n - l, 0 = -4*n - 16. What is the least common multiple of 2 and k?
20
Let q(f) = f**2 - f + 8. Let y(i) = 13*i**2 + 2*i + 1. Calculate the smallest common multiple of y(-1) and q(0).
24
Suppose -3*b + 3*j = -6, 0 = 3*b + 2*b + 4*j - 10. Let h = 6 + 1. Let g = h + 2. What is the smallest common multiple of g and b?
18
Let k be -1 + 3 + 1301/138. Let y = -29/23 + k. Let u = 1305 - 11794/9. Calculate the common denominator of u and y.
18
Let d = 17 - 16. What is the smallest common multiple of 10 and d?
10
Let a be (-3)/(6/(-4)) - -916. Let q be (2/33)/(20/(-303015)). Let l = q + a. Find the common denominator of l and -33/16.
176
Suppose -109*d = -108*d - 10. What is the lowest common multiple of 10 and d?
10
Suppose 0 = 12*g - 4*g - 48. What is the least common multiple of 6 and g?
6
Let z be (-2)/(-1) - (-3 + 0). Suppose -3*x - 5 = r, -24 = z*r - 8*r + 4*x. Calculate the least common multiple of r and 2.
4
Let j(d) = d**3 + 6*d**2 + 5*d - 2. Calculate the lowest common multiple of j(-3) and (7/(-2))/(4/(-8)).
70
Calculate the smallest common multiple of 12 and ((-66)/(-4))/(1/8*6).
132
Let j = -37/21273 + -236669105/63819. Let o = j + 1949777/504. Let h = 1094/7 - o. Find the common denominator of h and -41/14.
56
Let w be (-252)/7*(-2)/3. Suppose 2*i = 6*i + 692. What is the common denominator of 55/8 and (i - 1)*(-3)/w?
8
Suppose 0*x = -5*x - 130. Calculate the common denominator of 71/10 and (-4)/x - (-821)/(-182).
70
Let p = -2199/14 + 317/2. What is the common denominator of p and -27/7?
7
Suppose -2*w - 4*a = -10, -3*w = -3*a - 0 - 15. Suppose 0 = 3*c + p - 36, -2*c - p - 11 = -36. Calculate the lowest common multiple of c and w.
55
Suppose -3*o - n = n + 9, 0 = 5*o + 3*n + 14. Let f be o + ((-810)/184)/(-5). Let l = 4747/460 + f. Calculate the common denominator of 53/4 and l.
20
Let l = 11447/16 + -713. Find the common denominator of l and ((-18)/(-75))/((-12)/(-495)).
80
Let b = -324 + 995/3. What is the common denominator of b and -22/5?
15
Find the common denominator of 0/(-11) - 188/30 and -7/10.
30
Let a = 269 - 1849/7. What is the common denominator of 3/8 and a?
56
Suppose -4*o + 14 = -3*c + 5, -4*o + 2*c + 14 = 0. Calculate the least common multiple of 16 and o.
48
Let c(b) = b + 3. Suppose -12 = -0*t - 4*t. Let q = -1 + 7. What is the smallest common multiple of c(t) and q?
6
Let y(d) = d**2 - d + 2. Let r be y(4). Let n be r/4 - (-1)/(-2). Calculate the least common multiple of 7 + (3 - 0)/n and 10.
40
Find the common denominator of (-79 + 6/(-3))*2/(-8) and 50/11.
44
Suppose -4*n + 6*l + 18 = 4*l, -5*n + 4*l + 24 = 0. Suppose 19 = 5*z - 31. What is the smallest common multiple of z and n?
20
Let d = 2/16839 - -71719/22452. Calculate the common denominator of d and -49/18.
36
Let s be 68/(-16)*12/(-58). Let m = -2662828457/464 + 5738858. Let x = s - m. What is the common denominator of -107/14 and x?
112
Let d = -47 - -199/4. Find the common denominator of -57/2 and d.
4
Let l be (-2)/(-8) + 45/12. Suppose -3*v + 13 = -r, 2*r - 9 = l*v - 25. What is the smallest common multiple of 9 and r?
18
Let a = -1681/3556 + 246/127. What is the common denominator of -103/10 and a?
140
Let a = -5561/72 + 585/8. Calculate the common denominator of a and -40/11.
99
Let f(d) = d + 3. Calculate the least common multiple of f(3) and 25/2*(72/20 + -2).
60
Let l = 15083/6 + -2490. Calculate the common denominator of l and 1/(-10)*(0 - 1).
30
Suppose 0 = -2*n + 2*w - 4, -n - 5*w - 2 = 0. Calculate the common denominator of 103/22 and (-1729)/294 + n/(-3).
154
Let n(f) = -9*f - 2. What is the least common multiple of 8 and n(-1)?
56
Let n = 2 - -1. Suppose -n*v = -0 - 24. Calculate the smallest common multiple of v and 1.
8
Find the common denominator of (14/(-3))/1 + -1 and ((-168)/480)/(1*2/(-16)).
15
Suppose 8*z = 5*z - 54. What is the common denominator of ((-30)/8)/(z/(-15)) and 17/20?
40
Let o = 3883/70 - 287/5. Let b = -14 - -26. Find the common denominator of o and (-8)/b - (-371)/66.
154
Suppose -5*b - 11 = q - 5, 5*q = b - 30. Let a = q + 8. Let i(c) = -c**3 + 5*c**2 - 3*c - 3. Calculate the least common multiple of i(3) and a.
6
Find the common denominator of -44/7 and (-20)/15*((-216)/(-28))/3.
7
Let o(w) be the third derivative of -2/3*w**3 - 1/120*w**6 - w**2 - 1/12*w**4 - 7/60*w**5 + 0*w + 0. What is the smallest common multiple of o(-7) and 12?
60
Suppose -5*w = -30 - 0. Let n = -84 + 86. What is the smallest common multiple of n and w?
6
Let h = 9 - 8. Let a(i) = i**2 - i - 6. Let d be a(6). Calculate the common denominator of 63/4 and 171/d*h/(-3).
8
Let n = -21769047/88 - -247379. Let z = n + -37/88. Calculate the common denominator of z and 71/12.
132
Suppose -r = -5*g - 27, 7*g + 20 = 3*g. Suppose 0 = 3*t - t - 3*b + 23, 0 = r*t - 5*b + 33. Calculate the common denominator of 1/t*6/10 and 109/22.
220
Calculate the least common multiple of 10 and (8/(-10))/((-28)/210).
30
Find the common denominator of -77/10 and (39/(-54))/((-1)/5).
90
Let u = -167 + 101. Find the common denominator of (-414)/u - (0 - -2) and 23/4.
44
Let x = -2144351/12 - -178588. Let n = -109 - x. What is the common denominator of 115/90 - 2/2 and n?
36
Let y = 11/225 - 4147/450. Let l = -1711/170 - 54/85. Find the common denominator of y and l.
30
Let z be (-363)/(-54) + (-4)/2. Let o = -13246/9 + 1430. Let i = o - z. Calculate the common denominator of 49/8 and i.
8
Let q = 9/181 + 17123/1448. What is the common denominator of q and (-1)/((-32)/98) - -1?
16
Let y(s) = s**3 - 5*s**2 - 4*s - 8. Let l be y(6). Suppose 14 - l = w. Calculate the common denominator of ((-6)/(-8))/(w/128) and 41.
5
Suppose 4*x = 46 - 6. Calculate the least common multiple of x and (80/28)/(1 + (-5)/7).
10
What is the common denominator of 109/14 and 57/10*(-2)/4?
140
Let l(g) = -g**2 - g. Suppose -4*m - 5 = 7. Let q(u) = -2*u**2 + 3*u + 2. Let v(s) = m*l(s) + q(s). What is the smallest common multiple of v(-8) and 14?
126
Suppose 2*g + 2*y = -58, 5*y - 77 = 3*g + 42. Let p be (-2744)/12914 + (-6)/g. Let n = 42707/4696 - p. Calculate the common denominator of -53/2 and n.
8
Let j be (-1)/(-3) - 35/(-21). Suppose 2 = -o, 3*o + j = -m - o. Calculate the lowest common multiple of m and 7.
42
Let l(h) = -2*h - 7. Let r be l(-9). Suppose 4*f - 67 = -r. Let u = 23 - f. What is the smallest common multiple of 10 and u?
90
Let h = -7070/11 - -642. Suppose -4*g + 10 = g, -32 = -3*w - g. What is the common denominator of w/(-44)*(4 - -8) and h?
11
Suppose -2*l + 5 = 3*u, 0*l = -4*u - 4*l + 12. What is the common denominator of 2/(80/148) - 2 and u/18*(-1 - 33)?
90
Let s(t) = -t - 4. Let y(r) = r + 2. Let m be y(-6). Let k be s(m). What is the lowest common multiple of (-1 + 3 + k)*2 and 8?
8
Calculate the smallest common multiple of (-33)/4*(-72)/27 and 22.
22
Let t be 2 + (-16)/(-2) - 0. Let s be -3*4/(-6) + t. Calculate the common denominator of ((-135)/s + -1)/4 and -151/12.
48
Let t = -925006146735/86728304 + -6/5420519. Let w = 10671 + t. Calculate the common denominator of w and 119/6.
48
Let l = 41 - -3. What is the lowest common multiple of l and 1?
44
Calculate the smallest common multiple of 34 and (-58)/(-18) - (-7 - (-585)/81).
102
What is the lowest common multiple of (1 - 2)*2*-1 and (9 - (-4 + 2)) + -2?
18
Find the common denominator of (-58)/(-20) - ((-21)/(-9) - 2) and -26/33.
330
Let m(f) = f**3 - f + 10. Let o = 11 + -1. What is the smallest common multiple of m(0) and o?
10
Suppose -5*u = 4*q - 22, 5*q - 9 - 16 = -5*u. What is the common denominator of (1/(-44))/(q/(-666)) and -43/22?
22
Let g = 1977 - 31621/16. What is the common