1 - 3*m**3 + 2*m**3 - 2*m + m. Let o be y(11). Calculate the common denominator of 15/o*606/(-15) and -38.
2
Suppose 9 = 5*s - 2*p, p + 11 = 3*s - 3*p. Let o = 105 + -47. Suppose -7*x = -61 - o. Calculate the smallest common multiple of s and x.
17
Let p(z) = z + 3. Let a be p(-3). Suppose -3*h = -8*h - 10, -2*j - 2*h + 20 = a. What is the least common multiple of 33 and j?
132
Let j(o) = -o**3 - 10*o**2 - 21*o + 2. Let t be j(-7). Suppose -5*q + 0*b + 132 = -3*b, -q + 32 = -t*b. Calculate the smallest common multiple of 12 and q.
24
What is the common denominator of (-82)/(-18)*(2 - 25/15) and 13/57?
513
What is the common denominator of ((-130)/(-135) + -1)*(-112)/144 and -97/12?
972
Let n(u) = 10*u + 320. Calculate the least common multiple of 304 and n(-30).
1520
Let p(r) be the third derivative of -r**6/60 - r**5/20 - r**4/6 - r**3/3 + 3*r**2. What is the smallest common multiple of 22 and p(-2)?
110
Calculate the common denominator of -101/84 and (-1)/(-8) + ((-45156)/(-3168))/71.
924
What is the common denominator of 8/(-16) + 70/(-24) and -151/30?
60
Let j = 506675/1228749 + -3/43114. Calculate the common denominator of j and -9 + (-230)/(-25) + 446/20.
114
What is the lowest common multiple of 2 and (16 - 7 - -1) + 4?
14
Let j(p) = 2*p**2 - 2. Let f be j(4). Calculate the common denominator of 0/(-6 + 12) + (-287)/(-112) and 246/(-16)*4/f.
80
Let y(q) = q**3 + 4*q**2 + 4*q + 4. What is the smallest common multiple of 133 and y(0)?
532
Let y = 122 + -122. Suppose y = -3*j - 4*t + t + 60, -2 = -t. What is the smallest common multiple of 72 and j?
72
Let c(h) = -626*h - 1874. Let x = 5 + -9. What is the lowest common multiple of c(-3) and (-2 - (-6)/4)*x?
4
Let r(f) = -2*f + 1. Let g(t) = -t. Suppose 0 = 4*v - 1 + 5. Let d(p) = v*r(p) + 3*g(p). What is the least common multiple of 6 and d(-9)?
24
Suppose 0*m + 5*m = -233235. Let s be m/(-154) - -4 - 3. Let q = s + -3284/11. Find the common denominator of -53/2 and q.
14
Let y(f) = 2*f**3 - f**2 - 2. Let q = 7 - 5. Let d(m) = -m**2 - 10*m - 14. What is the smallest common multiple of y(q) and d(-8)?
10
Let d = 30859057/189 + -163275. Find the common denominator of d and 79/2.
378
Suppose -4*p = 5*n - 48, 28 = -0*n + 4*n - 2*p. Find the common denominator of (-1)/3 + (-537)/(-45) and ((-212)/n)/(-4*3/(-12)).
10
Suppose -2*v = -4*v + 1480. Let k = v + -278. Find the common denominator of 26 and (6/(-7))/((-27)/k).
3
Suppose -9*p + 2 + 52 = 0. Calculate the smallest common multiple of p and 54.
54
Suppose -f + 0*f = -4. What is the common denominator of -19/20 and (-6)/(-4)*(6979/1869 - f)?
1780
Let o = -1521823/102120 - -1027/69. What is the common denominator of -61/6 and o?
4440
Suppose 3*f = -2*w + 2, 0 = -0*w + 4*w - 2*f - 4. Let y(d) = -3*d**3 - 12*d**2 + 15*d + 98. What is the lowest common multiple of w and y(-4)?
38
Let b = -3 - -4. Let h(u) = -u**2 + 1 + 11*u**3 + 10*u**3 + u**2. Calculate the least common multiple of 18 and h(b).
198
Suppose 4*i + 147 = -2*n + 585, -i - 5*n + 123 = 0. What is the least common multiple of 5 and i?
540
Let f = -21173/9 - -2346. What is the common denominator of f and 62*((-1 - (-165)/(-27)) + 7)?
9
Let a = -648 + 692. Calculate the smallest common multiple of 68 and a.
748
Suppose 0 = -7*s - 24 - 4. Let q(w) be the first derivative of 2*w**3/3 + 7*w**2/2 - 2*w - 2. Calculate the least common multiple of 22 and q(s).
22
Suppose -2*k + 2 = 0, 2*o - 5*k = 28 + 527. Suppose -2*w - 76 = -o. Calculate the least common multiple of 20 and w.
1020
Let f(x) = -x**3 + 16*x**2 + 18*x - 25. Let z be f(17). What is the common denominator of 47/11 and ((-2)/(-28))/(z/144)?
77
Suppose 3*s - 5*k - 9 = 0, -13*k + 31 = 2*s - 8*k. Calculate the lowest common multiple of s and 8.
8
Suppose 3*q - t + 4*t - 66 = 0, 2*q = -5*t + 56. What is the lowest common multiple of ((-6)/(-5))/(6/80) and q?
144
Let c(x) be the third derivative of x**5/20 - x**4/12 - 5*x**3/3 + 3*x**2. Find the common denominator of c(4) and 3/6*28/18.
9
Suppose a - 322 = -2*n, 5*a - 338 = -3*n + n. Let g = n + -127. Calculate the smallest common multiple of g and 20.
160
Let o = -10 + 1013. Let b = o - 1458. Calculate the lowest common multiple of 8 and b/(-21) - (-2)/6.
88
Suppose 364 = 6*p - 74. Let g = 82 - p. What is the smallest common multiple of 16 and g?
144
Find the common denominator of -3/70 and 194/40*(144/56)/9.
70
What is the common denominator of -2 - 109*(100/(-16) + 6) and -55/2?
4
Let n be ((-72)/(-28))/(2/(-14)). Let i = n + 20. What is the common denominator of 111/10 and (i/(-16))/(11/(-341))?
40
Suppose -3*g - n + 14 = -3*n, -n = 4. Suppose g*x + x - 54 = 0. What is the smallest common multiple of 12 and x?
36
Let j be (-10)/(-4)*(-16)/20. Let s(y) be the third derivative of y**5/30 + y**4/8 + 32*y**2. Calculate the smallest common multiple of s(j) and 4.
4
Suppose j + 4*t - 3 = 6, 5*t - 15 = 0. Calculate the common denominator of (10/35 - 94/280)*214 and (79/14)/(j + 2).
70
Suppose 4*l + 21403 = -168713. Let r = l - -1710901/36. Let y = 13269 + -291837/22. Find the common denominator of y and r.
396
Let z = -6/179 + -3834/13783. Calculate the common denominator of z and -51/88.
616
Let i = -1/738 + -12541/3690. Suppose 0 = -0*o - 6*o - 12. What is the common denominator of o/3*(-21)/18 and i?
45
Let u(z) = -12*z - 31. What is the smallest common multiple of u(-3) and 131?
655
Suppose -358*t + 96 = -352*t. What is the lowest common multiple of t and 120?
240
Suppose -3*v + 6*v = -4*y + 81, 0 = -3*y + 3*v + 45. Suppose -21 = -u + 37. What is the smallest common multiple of u and y?
522
Let f = 5873227/3960 - 16314/11. What is the common denominator of f and 39/200?
1800
Let z(f) = 412*f - 2. Let n be z(-1). Let c = n - -797/2. Calculate the common denominator of c and -51/2.
2
Calculate the common denominator of (-31)/(-27) - (-2 + 1) and (-1)/(-13 - (-205)/16).
27
Let z(f) = 2*f**3 - 2*f**2 + 2*f - 8. Let d(m) = m**3 + m**2 - 2*m + 2. What is the least common multiple of z(2) and d(2)?
20
Let j = 33 + -13. Let p = 168889/22 - 7681. Calculate the common denominator of p and (8/j)/((-12)/(-1095)).
22
Let g = -4/593 + 18886/2624025. Let j = g + -47812/48675. Find the common denominator of -23/10 and j.
110
Let p = 108892111/2647164 - 59/37284. Let m = -45/71 + p. Find the common denominator of -101/34 and m.
34
Suppose 0 = 4*n - 3*s - 311, 5*n - 201 = -3*s + 181. What is the least common multiple of -2*1*n/(-14) + 1 and 9?
36
What is the least common multiple of (-256)/64 - 20/(-2) and 216?
216
Suppose 3*w - f - 1 = 0, 4*w + 4*f - 10 = 2*w. Let d = 246 + -959/4. What is the common denominator of 1 - (w - (-116)/18) and d?
36
Let m be 18/(-2079)*6/(-218). Let l = m + 394453/75537. Suppose -5*s + 4*s + 89 = -2*w, -32 = w - 3*s. Calculate the common denominator of w and l.
9
Let z(d) = d. Let u(b) = -3*b + 2. Let h be u(-2). Calculate the smallest common multiple of 438 and z(h).
1752
Let h = 16687 - 12798926/767. Let c = h + 39093/6136. What is the common denominator of c and (324/24)/((-30)/(-13))?
40
Let g = 13 - 11. Suppose 0 = 3*c + u - 6*u + 90, 0 = -3*c - 4*u - 63. What is the least common multiple of g and c/(-2) + 36/(-24)?
22
Suppose -2*j = -9*x + 6*x + 49, -x = 4*j + 119. What is the common denominator of 1/(-15)*(j - -1) and -19/24?
120
Let n = -493831/22 + 22451. Calculate the common denominator of n and 1/1 + (-23)/(-8).
88
Let p = -11814 - -11972. Calculate the least common multiple of 3 - (1 + (0 - -1)) and p.
158
Calculate the common denominator of 107/136 and 2164/2040 - (-14)/35.
408
Suppose 0 = -2*d - 4*n + 112, -d + 3*d - 76 = 5*n. What is the common denominator of -3 - ((-15)/d - -3) and (8/(5 + 3))/(6/29)?
48
Let l(b) = b**2 + 2. Let z be l(0). Let p(q) be the third derivative of q**6/60 - q**5/60 - q**3/3 + 93*q**2. What is the lowest common multiple of p(z) and 8?
40
Let j = 1 - -1. What is the lowest common multiple of (1*-3)/((-17)/(1088/24)) and j?
8
Suppose j = 12*j - 2552. What is the lowest common multiple of 16 and j?
464
Suppose l + 2 = 0, 0*l + l + 167 = -3*y. Let c = -37 - y. What is the least common multiple of (18/5)/((-34)/(-170)) and c?
18
Let u = -12515982 + 2277903009/182. Let y = 219/7 + u. What is the common denominator of y and 2 - (1 + 