m**2 + 7*m - 3. Let b be x(-7). What is the least common multiple of y(b) and 8?
8
Suppose 4*p + 7 = -2*n + 29, p + 8 = -5*n. Suppose 8 = 4*j - 2*j - 2*t, -4*j = -3*t - 21. Calculate the least common multiple of p and j.
63
Let z = -3095 + 18683/6. Let p = -16 + -2. Calculate the common denominator of z and 70/(-9) - (-12)/p.
18
Let m = 3 + -3. Let v be m*((-2)/(-4))/(-1). Suppose -3*x + v*x = -9. Calculate the lowest common multiple of 5 and x.
15
Suppose 3*p = 4*t - 53, 2*t = -4*p - 5 + 15. Suppose -t = 2*o - 23. What is the smallest common multiple of o and 6?
6
Let v be (-4091)/3*6/(-260). Let i = v - -2/65. Let n = -5/191 - 2755/4202. What is the common denominator of n and i?
22
Calculate the common denominator of -19/14 and ((-31)/(-3))/((-322)/69).
14
Suppose 0 = -4*n + 5*q - 3, 5*n + 4*q = 2*n + 21. Suppose 0*w - 18 = -n*w. Let c = -5 + w. Calculate the lowest common multiple of 6 and c.
6
Let k(f) = -f**2 + 11*f - 12. Let h be k(9). What is the smallest common multiple of (h/15*5)/1 and 9?
18
Calculate the least common multiple of (2/(-5))/(3/(-30)) and (-10 - -4)*(-6)/4.
36
Let a = 2783/670 - -50/67. Let u = 7/148 - 3037/1628. Calculate the common denominator of a and u.
110
Let v(q) = 2*q**2 + 2*q. Let p be v(3). Let k = -672627/360910 - -1/16405. Calculate the common denominator of k and -1 - 130/p - 2.
132
Let d = -12 - -26. Calculate the common denominator of ((-8)/16)/(3/106) and -1*19/d*4.
21
Let x = -21 + 36. Suppose 0 = p - 1 - x. What is the lowest common multiple of p and 20?
80
Find the common denominator of ((-148)/210)/(8/6) and -35/22.
770
Suppose -19 = 4*d - 7, -m - 5808 = -2*d. Let h = m + 499989/86. Let j = h - -4373/172. What is the common denominator of j and -113/18?
36
Let v = 9740/7 + -195353/140. Calculate the common denominator of -97/40 and v.
40
Calculate the lowest common multiple of 141/27 + 2/(-9) and 7.
35
Let k = 2670 + -16117/6. Find the common denominator of 73/3 and k.
6
Let n = 711/10 - 3259/40. Let x = 3440 + -20531/6. Calculate the common denominator of x and n.
24
What is the lowest common multiple of ((-44)/(-5))/(24/60) and 20?
220
Let z be 1/2 - (-54)/(-4). What is the least common multiple of z/(-3) - 10/(-15) and 3?
15
Let y(a) = -5*a**3 + a**2 + a. Let l be y(2). Suppose h = 7 - 2, 2*m - 80 = 4*h. Let d = l + m. Calculate the least common multiple of d and 14.
112
Let c(w) = -3*w - 1. Let n be (1 - 5) + -6 + 6. What is the smallest common multiple of 5 and c(n)?
55
Suppose -8*b - 60 = -9*b. Calculate the common denominator of -97/8 and (-461)/b + (-6)/(-10).
24
Let w = 29 + -15. What is the least common multiple of 10 and (0 - 4) + w - 4?
30
What is the smallest common multiple of (-10)/(-4) + -2 - 190/(-4) and 8?
48
Let h be 6/21 - (-10)/14. What is the lowest common multiple of 2*(6 - h - 3) and 7?
28
Let x = -3243 + -10438. Let q = x + 437691/32. Find the common denominator of 79/12 and q.
96
Let b = 463/30 - 154/15. Let n = 4/159 - -8053/2226. What is the common denominator of n and b?
42
What is the common denominator of 248/10*(-2)/32 and 28/(-80)*(-2)/((-8)/(-15))?
80
Suppose -2*y - p = 20, -5*y = -4*p + 43 + 20. Let n = y - -29. Calculate the lowest common multiple of n and 20.
180
Suppose 5*w + 4*u - 57 = 0, -w = -0*u + u - 12. Let f = 7 - 1. What is the least common multiple of f and w?
18
Let l = -12 + 18. Suppose j - 5*z = 8, 2*j = -0*z - 3*z + 16. What is the lowest common multiple of j and l?
24
Let j = -97 + 34. Let y(r) = -15*r + 2. Let n be y(3). Let q = n - j. Calculate the least common multiple of q and 12.
60
Let m = -1/843 + 21082/5901. Find the common denominator of m and 27/5.
35
Suppose 2*q + 3 = 1. Suppose 5*z = v - 6, -5*v - 1 = 3*z - 3. Calculate the common denominator of -47/5 and (149/3)/(z + q).
30
Suppose 4*k - 3*m - 4 = 0, 2*m = 3*k - 3 - 0. Let o(r) = 2*r**2 - 8*r + 8. Calculate the lowest common multiple of k and o(4).
8
Let t(x) = 7*x**3 - 2*x**2 - 2*x - 1. Let q be t(-1). What is the smallest common multiple of 2/q + 50/8 and 14?
42
Let q = 269411/43358 - -2/3097. Calculate the common denominator of -116*(-1)/((-24)/9) and q.
14
Let j be (-3)/(-9) - (-1)/(-3). Suppose j = t - 2*p - 52, 0 = -3*t - t + 5*p + 202. What is the common denominator of 39/5 and 122/t + 3/9?
40
Let n = 2 + 8. Find the common denominator of 71/20 and n/(-8)*57/12.
80
Suppose 102 = -0*l + 3*l. Let t = l - 22. What is the smallest common multiple of 8 and t?
24
What is the least common multiple of 0 - (-4 + 28/(-2)) and 8?
72
Let s = -6457 + 51581/8. Suppose 5 = -3*u - 4. Calculate the common denominator of s and (-3)/(-2)*(-61)/u.
8
Let p(r) = -12*r**3 + r + 1. Let h = 2 + -3. Suppose 0*x + 92 = 5*x - 2*b, -x - 2*b + 28 = 0. Calculate the smallest common multiple of x and p(h).
60
Let x = -160285/12 - -13345. Let w = -14 + 29/2. What is the common denominator of x and w?
12
Let x = 418 - 3275/8. Find the common denominator of 5/22 and x.
88
Let w = -4757366 - -970497605/204. Let t = w - 7/204. Find the common denominator of t and -77/2.
6
Find the common denominator of 1/14 and 1001/294 - 2/(-3).
14
Suppose -2*c + 0*c + 98 = 0. Suppose c - 4 = 5*s - 5*l, s + 5*l - 3 = 0. Calculate the least common multiple of 26 and s.
104
Let y = 142/9 - 206/9. Find the common denominator of y and 19/32.
288
Find the common denominator of ((-4116)/(-40))/(-7) + 3 and -36/11.
110
Let q = -39 + 23. Let g be 1 - (10 + -2 - 3). Let p = g - q. Calculate the least common multiple of p and 12.
12
Suppose 3*x - 31 = u, 4*x + u - 3*u - 44 = 0. Calculate the least common multiple of 11 and x.
99
Let c = -997 - -90. Let r = 1875/2 + c. Calculate the common denominator of 9/4 and r.
4
Let c = 58 + -51. What is the smallest common multiple of 5 + 1 + -1 + 0 and c?
35
Let f = -16 + 40. What is the smallest common multiple of f and 2 - -8*(-2 - (-9)/2)?
264
Let s(t) = 2*t**3 - t**2 - 3*t + 2. Let j be (-1)/3*-2*3. Suppose -d = j*o - 15, d - 13 = -o - 2. Calculate the lowest common multiple of s(2) and d.
56
Calculate the least common multiple of 1 and (0 - 20)/(3/(-7 - -4)).
20
Find the common denominator of 97/60 and 238/(-12) + (-5 - 80/(-15)).
60
Suppose -f - 10 = -q - 4*q, -44 = -4*f - q. Suppose -3*v + f = -38. Suppose -2*a + 5 = -7. What is the least common multiple of v and a?
48
Let g = 7317/4430 - 3/1772. Calculate the common denominator of -107/6 and g.
60
Let u = 611/6 - 106. Find the common denominator of u and -19/14.
42
Let t = 2621/6380 - 1/580. What is the common denominator of t and 133/6?
66
Let o be ((-6)/24)/((-1)/(-1438)). Let j = 388 + o. Calculate the common denominator of j and -25/7.
14
What is the lowest common multiple of 10 and ((-6)/14 - -1)*7?
20
Let d(w) = w**3 + 5*w**2 + 3. Let t be d(-5). Calculate the common denominator of (-200)/(-44) + 0 - t and 25/11.
11
Suppose 10*r = 111 - 11. What is the least common multiple of r and 4?
20
Suppose 0 = 4*w + 6118 + 6062. Let f = w + 33468/11. Calculate the common denominator of f and -64/9.
99
Suppose -3*r + 1 = -128. Suppose -3*v = -4*v - 5*w - 117, v - 3*w + 125 = 0. What is the common denominator of (-6)/(-9)*v/4 and r?
3
Calculate the common denominator of -73/54 and 62/(-12) - ((-21)/(-3) - 5).
54
Calculate the common denominator of (-194)/28 - (-6)/(-4) and 87/4.
28
Let i = -27623/33 + 837. Find the common denominator of -103/24 and i.
264
Let a(h) = -h**3 - h**2 + h. Let c(o) = -7*o**3 - 2*o**2 + 3*o + 1. Let n(t) = 5*a(t) - c(t). Calculate the least common multiple of n(2) and 7.
7
Let o = -47 - -7. Let c = o + 58. What is the common denominator of 69/2 and (-8 - 6)*c/(-20)?
10
Suppose 4*r - 40 + 24 = 0. What is the common denominator of -52/7 and r?
7
Suppose -208 = -j - 2*j - x, 2*j = 5*x + 167. Calculate the common denominator of 7/18 and 4/12 + j/18.
18
Let n = -13 + 24. Let v be 10*(3 - 6/4). Suppose g + v = 4*g. Calculate the least common multiple of n and g.
55
Let i = -9 + 31. Calculate the common denominator of (58/3)/(i/3) and -25/8.
88
Let m = 98893/19566 + 4/3261. Calculate the common denominator of -19/6 and m.
18
Let q = 41/42 - 36/7. Suppose 691 = 4*r + 3*d, 4*d - 117 - 59 = -r. Find the common denominator of q and r/(-12)*(-6)/(-8).
12
Let g = -216 - -1717/8. Let l = 1/253 - 3297/2024. What is the common denomi