ate the common denominator of ((-30)/9)/((-24)/20) and -61/25.
225
Let m be (-2)/10 - (-112)/10. Let f = 16 - m. Calculate the smallest common multiple of f and 9.
45
Suppose -37 - 63 = -5*u. Suppose 4*f = 2*f + 32. What is the lowest common multiple of u and f?
80
Let f be (-61)/(-9) - (-12)/54. Suppose 0 = 5*b - z - 72, -b - z + 5 = -f. What is the smallest common multiple of 8 and b?
56
Let k = -200 - 275. Calculate the common denominator of (1/5)/((-6)/k) and 55/7.
42
Let o(k) = k + 6. Let p be o(7). Let r(t) = -8*t - 1. Let m be r(-2). Find the common denominator of (p/6)/(m/(-25)) and -1/8.
72
Let q = 0 + -1. Find the common denominator of (((-194)/44)/q)/(-1) and 67/8.
88
Suppose j + j - 4*o - 58 = 0, -j + 27 = -o. Suppose -5*d = -j - 25. What is the common denominator of (-11)/2*11/d and -33/8?
40
Find the common denominator of -45/2 and (-22)/(-33) + (-17)/6.
6
What is the common denominator of (38/(-6))/(66/45) and (1/8)/(6/(-808))?
66
Suppose -9*l - c + 8 = -8*l, -3*l - 2*c = -24. Let g(z) be the second derivative of z**5/4 + z**2/2 + z. What is the least common multiple of l and g(1)?
24
Let k = 1/859 + 7721/8590. Find the common denominator of k and (-4446)/(-728) + 2/14.
20
Suppose -x + 0*x = 0. Suppose -s - 2*r = -28, -r - 49 = -3*s - x*s. Suppose -24*q + 90 = -19*q. Calculate the lowest common multiple of q and s.
18
Suppose 3*s + 15 = 0, -r = 5*s - s + 2. Let g be (-1 - 1)/(4/100). Let t = 70 + g. What is the smallest common multiple of t and r?
180
Let q be (-2 - 0) + 3099*6. Let u be 1 + -3 + q/10. Let r = 1869 - u. What is the common denominator of 115/6 and r?
30
Let s be (3/(-490))/(-3)*5153. Let x = s + 9/49. Find the common denominator of 50/3 and x.
30
Let q be (1 - 2 - 4)/(-1). Suppose q*y - 5*a = -10, 2*y + 3*y + a = 8. Calculate the lowest common multiple of 1 and y.
1
Let c = -10/131 - 3769/393. Calculate the common denominator of c and -59/8.
24
Let u be (-12)/(-10)*(-20)/6. Let b be (576/110)/(u/1290). Let w = b - -1691. What is the common denominator of w and 9/5?
55
Let a = -635/92 - -15/23. Let b = 2733449 + -481095239/176. Let v = b - -565/11. Calculate the common denominator of a and v.
16
Suppose 62 = 4*y - 106. Let b = y + -22. Calculate the smallest common multiple of b and 12.
60
Suppose 2*u - 10 + 0 = 0. Let p = 2 + 0. Suppose h = -p*i - 5, -h + 2*i = -2 - u. What is the lowest common multiple of 9 and h?
9
What is the common denominator of (2*(-724)/(-160) - 1) + -4 and -107/36?
180
What is the smallest common multiple of 16 and 15 - (-3)/((-12)/(-4))?
16
Calculate the common denominator of ((-2)/(-5))/(6/(-1410)*-16) and -95/4.
8
Let o(p) = 2*p - p**2 - 1 - p + 0*p + 17*p**3. What is the least common multiple of o(1) and 1 + -1 + (-2 - -18)?
16
Let a be 50/2 + 2 + 0. Suppose a = 2*n + q, -42 = -n - n - 4*q. What is the least common multiple of (-64)/(-11) - 2/(-11) and n?
66
Suppose 8*s = 9*s - 16. Calculate the smallest common multiple of s and 4.
16
Let v = 37 - 17. Calculate the least common multiple of 14 and v.
140
Calculate the common denominator of (-10)/(-7)*(-27)/(-6) and 48/5.
35
What is the lowest common multiple of 3 and 2*2 + (5 - 8)?
3
Let g = -6 + 3. Let j(k) = -k**2 - 13*k - 22. Calculate the lowest common multiple of j(-9) and -2 - (2 - 3) - g.
14
Let q be (-3)/(-4) + (-3577)/4780. Let l = q - -8329/21510. What is the common denominator of l and -53/20?
180
Suppose 126 = 5*c + 4*u, -17 + 111 = 5*c - 4*u. What is the smallest common multiple of 20 and c?
220
Calculate the smallest common multiple of -3*5/(-30)*(-132)/(-1) and 24.
264
Let w(r) = -r**2 - 7*r + 3. Suppose -4*d + d = -21. Suppose -5*s - u + 10 = 0, 3*s + 4*u = -d - 4. What is the least common multiple of s and w(-6)?
9
Suppose 4*b + 0*b + 3*k = 43, 5*b - 2*k - 71 = 0. Suppose -3*v - 4 = -b. What is the least common multiple of v and 10?
30
Suppose -28*i = -33*i + 25. What is the lowest common multiple of 11 and i?
55
Let q(a) = a**3 - 24*a**2 + 2*a - 28. What is the smallest common multiple of 4 and q(24)?
20
Let k = -16 + 17. Let s = k + 4. Calculate the smallest common multiple of s and 11.
55
Let s = -227349/22 + 10330. Find the common denominator of s and (82/(-8))/((-2)/4).
22
Let o = 502/7 + -1079/21. Calculate the common denominator of 0 + -4*28/(-88) and o.
33
Let d = 118 - 15. Calculate the common denominator of -1*2 + 1*34 and 5 + -2 - d/(-6).
6
Suppose 0 = -2*u - 3*n + 10, 42 = -0*u + 2*u - 5*n. Calculate the common denominator of 16/(-3)*6/u and 39/4.
44
Find the common denominator of (-6)/(-464)*(-244)/6 and 95/8.
232
Let g = 26 - 19. What is the lowest common multiple of 1 and g?
7
Calculate the common denominator of 67/35 and (-4 - (-938)/147)*(-24)/(-10).
35
Let m(d) = d**3 + d**2 + 1. What is the smallest common multiple of m(0) and 13?
13
Let k(w) = w**3 + 2*w**2 + 4*w - 3. Let u be k(3). Calculate the common denominator of 16/3 and (8/(-6))/(10/u).
15
Let l be ((-7)/(-4))/(6/(-8)). Let c = 73/15 - l. Find the common denominator of c and 15/11.
55
Let i = 496095127/38544760 + -52024/13885. Let o = i - -2/1735. Let s = 5627/8 - 705. Calculate the common denominator of o and s.
8
Let i = 1873 - 33847/18. Find the common denominator of -17/24 and i.
72
Suppose 4 = -4*n, -95 = -5*i + 3*n + 2*n. Calculate the lowest common multiple of i and 24.
72
Let w(q) = -4*q**3 - 3*q**2. Suppose l + 45 = 5*b - 2*l, -43 = -4*b + l. What is the least common multiple of w(-2) and b?
60
Let u(f) = f**2 + f - 1. Suppose 4*x - 3*l = -2 - 1, -24 = 3*x + 5*l. Let z be u(x). Find the common denominator of 59/(-10) - (z + -4) and 31/2.
10
Let q = 132/35 - 33689/70. Let i = q - -469. What is the common denominator of i and (-2)/5 + 277/30?
6
Let p = -27 - -45. Let j = p + -2. Suppose 3*t - t - 3*b = 35, -5*b = 5*t - 25. What is the lowest common multiple of t and j?
80
Let t = 8/239 - -5154/3107. Let s = t - 326/39. What is the common denominator of 3 and s?
3
Suppose -q - 4*q = 2*d - 22, -2*d - 3*q = -18. Let r = -16 - -25. Calculate the least common multiple of r and d.
18
Suppose 0 = 5*p - 2*p - 4*h, 4*h = p. Suppose p = 2*l + l. What is the smallest common multiple of 20 and ((-2)/5 + l)*-35?
140
Let n(a) = -314*a**2 - 1. Let g be n(1). Let y = 12833/1070 - 117/107. Calculate the common denominator of y and g/(-25)*(-4)/(-6).
10
Let f = 7628/7 - 1097. What is the common denominator of -79/8 and f?
56
Suppose 2*v + 5*u - 87 = 0, 2*v - 6*v + u + 141 = 0. Calculate the lowest common multiple of v and 12.
36
Let y be 2 + 352/(-6) + -3. Let v = -965/12 - y. What is the common denominator of v and 55/48?
48
Let u = 744713/2374278 - 2/20121. Find the common denominator of u and 17/5.
590
Let o(i) = 2*i**2 + 3*i - 3. Suppose -8 = -4*p + 6*p, -2*p = 4*k + 20. What is the least common multiple of (-15)/(-10) + (-22)/(-4) and o(k)?
42
Let v(d) = d**3 - 6*d**2 - 8*d + 13. Calculate the smallest common multiple of v(7) and 1.
6
Let k = -72709/20 - -3632. Find the common denominator of k and -77/12.
60
Let m(d) = -d. Let f be m(-12). Calculate the smallest common multiple of 14 and (f/(-10))/(3/(-15)).
42
Let a = -23 - -44. What is the lowest common multiple of a and 24?
168
Suppose -j - 6*y - 173 = -3*y, 471 = -3*j + 3*y. Let k = 649/4 + j. What is the common denominator of k and 22/7?
28
Let w = -110 - -111. What is the lowest common multiple of 20 and w?
20
Let h(f) = -13*f**3 - 6*f**2 + 4*f. Let t be h(5). Let y = -5210/3 - t. What is the common denominator of y and -12/13?
39
Let a(y) = y**3 + 5*y**2 + 5*y + 6. Let u be a(-4). Suppose -5*m + h = -4*m - 6, u*h + 6 = -4*m. What is the least common multiple of m and 20/(-6)*-3*1?
10
Let z(j) = -j**2 - 12*j - 3. Let t(k) = 2*k**2 + 23*k + 6. Let l(f) = -4*t(f) - 9*z(f). What is the lowest common multiple of l(-16) and 10?
30
Let p(t) = -6 + t + 1 - 3 + 3 + t**2. Let j be ((-12)/(-15))/(2/(-10)). What is the smallest common multiple of p(j) and 9?
63
Let h(p) = -p + 11. What is the smallest common multiple of (72/(-16))/(3 + 7/(-2)) and h(7)?
36
Let i(o) = -o**3 - 7*o**2 + 6*o**2 + o + 0*o**2 + 10. Let z = 10 - -12. What is the least common multiple of z and i(0)?
110
Let p = 122 - 82. Calculate the smallest common multiple of 8 and p.
40
Let k = 39056/9 + -4332. What is the common denom