7*c = 3*c - 4*d + 104. Suppose 8 = 2*a - 3*m, -2*a + 8 = -0*a + 5*m. Calculate the smallest common multiple of a and c.
60
Find the common denominator of 34/16*20/6 and (0 - 6) + 1090/40.
12
Let i = 83 + -36. Let k = 212 + -371/2. What is the common denominator of i and k?
2
Let v(q) be the third derivative of q**5/60 - q**4/6 + 2*q**3/3 + q**2. Let t be v(3). Find the common denominator of 182/(-12) - (t - 1) and -18.
6
Let g = 318557/36 + -8848. Find the common denominator of -3/22 and g.
396
Let r = 5 + 1. Calculate the smallest common multiple of ((-195)/10 - (-2)/(-4))/(-1) and r.
60
Suppose -10*r + 312 = -7*r. What is the smallest common multiple of 22 and r?
1144
Suppose s - 29 = -4*n, -5*s - 7 = 5*n - 62. Calculate the smallest common multiple of 168/44 + (-4)/(-22) and n.
12
Let h(w) = w + 10. Let j be h(-8). Let f(q) = -2*q - 6. What is the least common multiple of (-1)/(j/20)*-1 and f(-6)?
30
Let o(w) = -w + 15. Let f be o(15). Suppose 5*z + 5*c - 70 = f, z = c - 3*c + 14. Calculate the smallest common multiple of 14 and z.
14
Let j(m) = -3*m + 4. Calculate the smallest common multiple of (-4 + 0)/(4/(-6)) and j(-6).
66
Let z(y) = y**2 - 9*y - 7. Let u be z(10). Find the common denominator of 53/2 and (-275)/(-20) + -1*u.
4
Suppose z = 2*z - 34. What is the least common multiple of 11 and z?
374
Let k = -4420445103/308 + 14352073. Let n = 5321/704396 - -5/2287. Let y = n - k. Find the common denominator of y and -38.
2
Let d = 10 - 5. Suppose 0 = d*o - 2*r, -o + 5*o = 5*r - 17. What is the lowest common multiple of o and 1?
2
Let q = 4 - 4. Suppose -5*t + 3 = 3*o - q, -5*o = 20. Suppose -27 - 15 = -t*n. Calculate the lowest common multiple of n and 6.
42
Let s(g) = -9*g**2 + 1. Let h be s(1). What is the smallest common multiple of (66/(-4))/(6/h) and (-2)/8 + (-178)/(-8)?
22
Suppose -3*m - 3*x + 1595 + 148 = 0, 2*m + x = 1162. What is the common denominator of m/63 + (-1)/1 and -27/11?
99
Let m = -33 - -55. What is the smallest common multiple of (-16)/(-3)*6/4 and m?
88
Suppose 3*w = 28 + 26. What is the least common multiple of 4 and w?
36
Suppose -2*y + 0*v = -3*v + 228, -y - 5*v - 114 = 0. Let j = -21 - -39. What is the smallest common multiple of j and y/(-9) - 4/6?
36
Let x = -433/22 - -20. Find the common denominator of x and 25/22.
22
Let s = -7 + 9. Let i(z) = 3*z**2 - 2*z. What is the smallest common multiple of i(s) and 11?
88
Suppose 0*g + g + 2 = 0. Let u(t) = -6*t - 4. Calculate the lowest common multiple of u(g) and 1.
8
Suppose 38 = 2*d + 16. What is the least common multiple of d and 45?
495
Let v = -10 - -17. Let n(r) = r**2 - 5*r + 3. Let l be n(7). Suppose -2*q - 4 = -q, 5*b - 3*q - l = 0. What is the lowest common multiple of v and b?
7
Let o = 20 + -14. Let b = -6 - -12. Calculate the smallest common multiple of b and o.
6
Calculate the lowest common multiple of (-6)/21 - 44/(-7) and 8.
24
Suppose 0*g - 14 = -2*g. Let c(t) = -t**2 - 6*t + 1. Calculate the lowest common multiple of c(-4) and g.
63
Suppose -1 = t - 4. Suppose -5*b + t*u = -0*u - 12, 0 = 4*b + 5*u - 17. Calculate the lowest common multiple of 28 and (-22)/(-6) + b/9.
28
Calculate the least common multiple of 42 and (-1392)/(-80) + 6/10.
126
Let b = 773/154 - -1/14. Calculate the common denominator of -1/7 and b.
77
Suppose 3*j - 5 - 25 = -3*u, -2*u = 4*j - 30. Suppose 5*b - u*l = 60, 0 = 4*b - 3*b - 5*l - 20. What is the smallest common multiple of b and 3?
30
Suppose 4*h + 15 - 59 = -4*m, -4*h - 2*m + 44 = 0. Calculate the common denominator of (-21)/(-2) + -4 + 1 and -2 - -1 - (-54)/h.
22
Let f(u) = u + 19. What is the lowest common multiple of 6 and f(-9)?
30
Find the common denominator of -1/9 and (-1539)/(-765) - (-3)/(-5).
153
Let z = -29 - -30. Let m(b) = 3*b**2 + 1. What is the lowest common multiple of m(z) and 11?
44
Let g = -245 - -659/3. What is the common denominator of g and (0 + 58)*(510/(-72))/17?
6
Let p(m) = -m**3 - m + 9. What is the least common multiple of 6 and p(0)?
18
Let r = 32 - 20. Suppose -2*q = 2*q - r. What is the lowest common multiple of q and 7?
21
Let i = 22 + -16. Calculate the lowest common multiple of 1*-2*(0 - 3) and i.
6
Suppose 6*d = d + 20, -5*d = -2*s - 12. Let r(k) = k + 2*k - 2*k. Calculate the lowest common multiple of r(s) and 11.
44
What is the smallest common multiple of 3 and (-6)/7*105/(-2 - 1)?
30
Calculate the common denominator of -97/4 and 42/32*40/(-24).
16
Suppose 1 + 5 = 2*m. Let d be (-1 - (m - 5))*9. Suppose 5*r = 3*s + 42, d = -2*s + 1. What is the smallest common multiple of 16 and r?
48
Let x = -4821 + 33802/7. Calculate the common denominator of x and (2/(-20))/((-2)/55).
28
Let u be 6/4*(-12)/(-9). Suppose -3*n + 12 = r, 0 = -n + u*r + 2*r + 17. Calculate the least common multiple of n and 9.
45
Suppose 0*r - 2*r = -16. Calculate the lowest common multiple of (-2 + -10)*(-7)/7 and r.
24
Let q be 0 - (-663)/(-9) - 3. Let b = 92 + q. Calculate the common denominator of -56/3 and b.
3
Suppose 2*x + 3*r - 18 = 5*r, 0 = -5*x + 3*r + 37. Let f = 15 + -9. Calculate the smallest common multiple of x and f.
30
Let z = 361/2 - 1439/8. Let y = 0 - 12. What is the common denominator of 16/y*21/(-8) and z?
8
Let f(t) = t**2 - 6*t + 4. Let r(u) = -u**2 - u + 6. Let i be r(0). Let g(a) = a - 3. What is the least common multiple of g(4) and f(i)?
4
Suppose -3*p + 4*p = 0. Let v(i) = -i**3 + 3 + 2*i - 2*i - i**2. What is the least common multiple of v(p) and 4?
12
Let p = -2/1323 + -28663/1323. Find the common denominator of p and -7/51.
51
Let r = -1379/8795 + -24408947/3403665. Let j = r + -2/387. Find the common denominator of 35/3 and j.
3
Suppose 3*m - 19 + 1 = 0. What is the least common multiple of 108 and m?
108
Calculate the lowest common multiple of 44 - 12 - (-1)/(2 - 1) and 12.
132
Suppose -4*a = 322 - 42. What is the lowest common multiple of 4 and a/(-8) - (-6)/(-8)?
8
Let l = -3/260 + 9499/780. Let p = -5425 + 43459/8. Calculate the common denominator of l and p.
24
Let n(q) = -q**2 + 6*q + 7. What is the smallest common multiple of 9 and n(0)?
63
Let v = -2/921 - 59849/7368. Calculate the common denominator of v and (-2)/(90/37) - (-6)/27.
40
Suppose 0 = -5*m + 43281 - 4971. Let s = -482891/290 + -174167/29. Let p = m + s. Calculate the common denominator of p and 113/14.
70
Let k(w) = -2*w. Let r be k(-2). Let s = 103 + -221/2. Find the common denominator of 17/(-63) - r/14 and s.
18
Calculate the common denominator of -43 and -3 - 2/(108/(-141)).
18
Let m(w) = w**3 - 4*w**2 + 3*w - 2. Let a be m(4). Find the common denominator of 7/38 and 2/a + (-1095)/350.
266
Let p(g) = -g**2 + 5*g - 4. Let n be p(4). Suppose 0*f - 2*f + 7402 = n. Let b = f + -14717/4. Calculate the common denominator of b and -44.
4
Suppose 4*q - 7 = 3*q. Suppose -4*f - f + 30 = -2*d, 25 = -5*d. Calculate the smallest common multiple of q and f.
28
Let w be 12694/12*(-15)/10. Let y = 1605 + w. Find the common denominator of y and 1/(-3) - 249/18.
12
Suppose 2*t = -4*w + 110, -2*w + 7*w + 3*t - 135 = 0. What is the lowest common multiple of w and (5 + -4)/(1/22)?
330
Suppose 5*d - 31 + 1 = 0. Suppose k = -f, -f + 10 = -2*k + 5*k. What is the smallest common multiple of k and d?
30
Let o = 99/7 - 416/21. Let u = -19/6 - o. Find the common denominator of u and 3/9 - 584/60.
10
Let c be (-4)/14 + 46/14. Suppose -c*y = u + 24, -6*y = -2*y - 3*u + 19. Calculate the common denominator of -113/18 and (y/28)/((-2)/(-20)).
18
Suppose 3*j = j - 2, -g = 5*j. Suppose -g*n = -s - 271, s + 4*s - 5*n = -1375. Calculate the least common multiple of 2 and s/(-27) + 4/(-18).
10
Let x = 4758 + -57155/12. Let p(h) = h**3 - 5*h**2 - 9*h + 1. Let d be p(6). Calculate the common denominator of x and ((-1)/2)/(6/d).
12
Suppose -3*k = 4*n - 4, n + 6*k = 3*k - 8. What is the common denominator of n/(-26) + (9 - 10) and 18/11?
143
Let p = -2185 - -21821/10. Let n = 434 + -3902/9. What is the common denominator of p and n?
90
What is the common denominator of 1 + (1 - 55/6) and (11/(-24))/((-2)/(-42))?
24
Calculate the common denominator of (-6 - 0)*17/(-20) and -5/22.
110
Suppose 5*i - 5420 = 8620. Find the common denominator of i/(-880) - 3/(-5) and -81/10.
110
Let w(m) = -m**2 - m + 39. Let p be w(0). Let u = p + -28. Calculate the l