-3/22.
110
Let u be 4/(((-4)/(-2))/(-4)). Calculate the smallest common multiple of -82*1/u - (-6)/(-24) and 20.
20
Let l = -65869/1976 + 859/26. Let r = -5541/112 - 3/112. What is the common denominator of r and l?
152
Suppose -g = 6 - 16. What is the least common multiple of g and 1?
10
Let a = -2/2319 + 146141/51018. Calculate the common denominator of 41/668 and a.
7348
Suppose 3*r = -5*o + 113, 3*r + 0*r - 163 = 5*o. Calculate the common denominator of r and -31/126.
126
Suppose z + 3*r - 5 + 3 = 0, -5*z = 2*r - 23. Suppose 0 = z*m - 2 - 13. What is the lowest common multiple of (-1 - (-6 + m)) + 4 and 20?
60
Let v(l) = l**2 + 11*l - 32. Calculate the least common multiple of v(-14) and 12.
60
Let g(r) = -2*r + 13. Let f be g(-6). Let v = -17 + f. Let m = v - 0. What is the least common multiple of m and 16?
16
Suppose 18*s - 27*s = -567. Calculate the smallest common multiple of 8 and s.
504
Suppose -w = 3*p - 18591, -p - 2*w = -2141 - 4051. Let g = 62057/10 - p. Calculate the common denominator of g and (-5)/(-24)*(0 - 15).
40
Let w(m) = 4 - 2 + 4 + m**2 - m. Let r = 330/23 + -3751/138. Find the common denominator of r and w(6).
6
Suppose 3*u - g - 10 = -3, -4*g - 12 = -4*u. Suppose -u*q + 7*q = 10. Let z(f) = f + 3. Calculate the smallest common multiple of z(5) and q.
8
Suppose 5*h + 0*t + 3*t = -45, h = -5*t + 13. Let y = h - -12. Find the common denominator of 41/4 and (-1157)/260 + 0 + y.
20
Let m = -1132/4377 + -72807521/26262. Suppose 5*a + 14128 - 303 = -5*v, 13825 = -5*v - 4*a. Let j = v - m. What is the common denominator of j and -5/18?
18
Find the common denominator of 59/99 and 6/18 - (3819/792)/19.
792
Suppose 5*m = -m + 72. Find the common denominator of ((-134)/m)/(13/(-26)) and (-2)/(-2) - 56/10.
15
Suppose -53 = -4*n - 2*k - 17, 5*n - 42 = -4*k. Let l(y) = y**2 + 2 + 0*y**2 - 4*y + 0. Calculate the smallest common multiple of n and l(6).
70
Calculate the common denominator of (-731)/255 + 3/(-3) and -169/150.
150
Suppose 0 = -3*z - z - 48. Let n = -6 - z. Let c(g) = 11*g - 53. Calculate the least common multiple of c(5) and n.
6
Let r = -730 + 7321/10. What is the common denominator of -11/54 and r?
270
Suppose -17*k + 48 = -k. Find the common denominator of (k/(90/16))/((-27)/(-75)) and 49/18.
54
What is the common denominator of (-8 - -1)*(-26)/(-4) and 65/10*14/8?
8
Let n(f) = 33*f**2 - 3*f + 8. Let l be n(6). Let t be -5 + 2 + l/376. Let m = t - -4/235. What is the common denominator of -113/14 and m?
140
Suppose 15 = 2*d + 69. Let l = -19 - d. What is the smallest common multiple of (-1*16/(-6))/((-6)/(-18)) and l?
8
Let u = 9708 - 174691/18. Calculate the common denominator of 95/174 and u.
522
Let c = 8 - 5. What is the least common multiple of c and (2 + -1 - 10)/(-1)?
9
Suppose -6*y + 8*y - 52 = 0. Let r = -4 + y. Calculate the smallest common multiple of ((-6)/(-4))/((-12)/(-112)) and r.
154
Suppose 5*k - 6 = 4. Calculate the common denominator of k/22*(-4 - (-2 + -9)) and -11/7.
77
Let l be 1024/(-5)*25/(-30)*2. Let f = -4339/12 + l. Let x = 5744 - 57517/10. Find the common denominator of x and f.
20
Let q(d) = -54*d + 16. Calculate the smallest common multiple of q(-1) and 28.
140
What is the common denominator of 31/4 and (2/(-28))/((-240)/(-2968))?
60
Suppose -3*b = 3*k - 30, 5*k + 5*b = 6*b + 68. Suppose -4*t - 5 = -k. Let q(z) = z**3 + 10*z**2 + 7. Calculate the lowest common multiple of t and q(-10).
14
Suppose -5*t + 212 = -13. What is the least common multiple of 70 and t?
630
What is the least common multiple of -30*(-5 - (-209)/55) and 8?
72
Let h(f) = -2*f + 3. Let j be h(-3). Let o = j - 9. Suppose -r - 3*r + 4 = o. Calculate the least common multiple of 9 and r.
9
Calculate the common denominator of (-533)/168 + 5/40 and 19/6.
42
Let j(c) = -c**2 - 6*c - 7. Let b be j(-4). Let g be (4/6)/(b/30). Find the common denominator of 3 + 0 - 214/g and 71/20.
20
Let s = -421 - -165. Find the common denominator of -29/2 and 2*380/s - -3.
32
Suppose 9*w - 4*w + 133 = 4*q, 0 = 3*q - 3*w - 99. Let n = 90 - q. What is the least common multiple of 4 and n?
116
Suppose 0 = -5*d - 4*q - 40, 6*q - q = 0. Let w(i) = -i**3 - 8*i**2 - 2*i - 4. Let s(h) = h + 6. What is the smallest common multiple of w(d) and s(6)?
12
Find the common denominator of -11/1492 and 1903/198 + (9 - 20).
13428
Let d = 3555949/12 + -296527. Let j = 598/3 + d. What is the common denominator of j and -13/8?
24
Let r(c) = -c**3 + 5*c**2 + 9*c - 10. Let j be r(7). Calculate the common denominator of -73/10 and 1*4 - 27/j.
10
Suppose -30 = -3*v + 2*k, -k = 2*v + k - 30. Let n be (6 - 1/1)*1. Suppose n*s - 20 = 0, 6*l - 4*s = 3*l - 10. What is the least common multiple of l and v?
12
Let a = 41 + -24. Let b = a - 14. Calculate the common denominator of 13/9 and b/5 + 3830/200.
36
Let p = -3569/72 - -145949/2952. Calculate the common denominator of p and 49/27.
2214
Suppose 0*s = -5*s + 15. Let n be (-9)/s + (-69915)/(-35). Let u = -1989 + n. What is the common denominator of -47/6 and u?
42
Suppose -3*f - 9 = -9. Suppose f = 5*a + 117 - 137. Suppose -4*u + 29 = -4*l + 113, -4*u = 20. Calculate the lowest common multiple of a and l.
16
What is the least common multiple of (-2550)/(-595) + (-10)/(-14) and 50?
50
Let b be (1 - (-15965)/290)/(-3). Let q = -160/29 - b. Find the common denominator of q and -65/2.
6
Let b be 8/24 - 2/((-9372)/(-1553)). Let l = b - 128147/32802. What is the common denominator of -38/9 and l?
63
Let y = -3/532917319073 - -416603317930592711/203684196853615038. Let m = y - -2/17373. Find the common denominator of -71/10 and m.
110
Let p be ((-24)/14)/(12/(-42)). Find the common denominator of ((-36)/(-75))/(p/(-15)) and -77/8.
40
Let r = -17 + 28. Let v = 21 - r. Let l(o) = o**2 + 42*o - 41. Calculate the smallest common multiple of l(1) and v.
10
Let l be 16535965/(-2952)*(-4)/650. Let f = l + -1241/36. Let y = 50619/21320 - f. Calculate the common denominator of y and 55/2.
8
Suppose -6*p + p - 30 = 0. Calculate the common denominator of (11/2)/(p/13) and (-2)/12 + -4*15/10.
12
Let k be 1 + -2 + 152007/66. Let r = 2303 - k. Find the common denominator of 1 + 127/(-6) + -1 and r.
66
Let k(b) = -b**3 + 2*b**2 - 2*b. Let n be k(0). Suppose 5*v + 3*v - 176 = n. What is the smallest common multiple of 10 and v?
110
Let b(t) = 0*t - 5 + 3 + t. What is the smallest common multiple of b(3) and 7*3/3 + -3?
4
Let y(i) = -5*i + 12. Let j be y(2). Suppose 3*n + 7 = -j*u + 57, 0 = -2*n + 2*u + 30. What is the smallest common multiple of n and 16?
16
Suppose 1070 = -d + 1078. Calculate the smallest common multiple of d and 92.
184
Let z(u) = -48*u + 165. What is the least common multiple of 39 and z(0)?
2145
Let x = 923 + -913. Calculate the smallest common multiple of 8 and x.
40
Suppose -68 = -3*s - 284. Calculate the common denominator of (-242)/s - (2/8 + 0) and 43/6.
18
Suppose 4*u = -1 + 13. Calculate the least common multiple of u and (-1 - (0/(-4) + 2)) + 12.
9
Let w be 0/(2 + -2 + 2). Suppose -3*h + 2*h + 5 = w. Suppose f = 5*k - f - 31, -5*k + 43 = 4*f. What is the lowest common multiple of h and k?
35
Let f(i) = -i**3 + 11*i**2 + 10*i - 12. Let g be f(12). Find the common denominator of (-19)/2*g/(-90) and 19.
5
Let p = -14479/6 - -2400. Let a = 233/88 - -5/8. Find the common denominator of p and a.
66
Calculate the common denominator of 1/(-1*(-20)/106) and 19847/(-3122) - ((1 - -1) + 0).
70
Suppose -2*c - 3*a + 10 = -c, -4*a = -3*c - 22. Calculate the smallest common multiple of (2 - (3 + c)) + 7 and 18.
72
Let b = 136081/5631 - -1/3754. Calculate the common denominator of b and ((-40)/(-16) - 9)*(-6)/(-4).
12
Let x = 51121 + -3834004/75. What is the common denominator of x and -12/25?
75
Let p(a) = a**2 + 8*a + 9. Let c be p(-7). Suppose -3*w = c*w - 110. What is the smallest common multiple of w and 18?
198
Let k be (-3 - 11/5)/((-1)/(-10)). Find the common denominator of -73/3 and 52/6*91/k.
6
Suppose 10 + 5 = -2*a + o, -3*a - 18 = -3*o. Let q be (-3 - (a + 4))*-72. Find the common denominator of 38/(-171) + 733/q and -63/10.
80
Let t(o) = o**3 - 7*o**2 + 6*o - 1. Let l be t(6). Let f = l - 16. What is the common denominator of f and 65/8?
8
Suppose -5*z = -4*i + 599, 13*z = 5*i + 11*z - 770. What is the lowest c