2104
Let q(s) = 328*s**3 + 9*s - 327*s**3 - 11*s**2 + 6*s + 40 - 7*s**2. Suppose -n + 18 = 1. What is the smallest common multiple of q(n) and 21?
42
Let i(g) = -g**3 - 17*g**2 - 19*g - 45. Let x be i(-16). Find the common denominator of -73/278 and (3488/(-240))/((-8)/30*x).
834
What is the smallest common multiple of 9116/215 - (90/(-25) - -4) and 288?
2016
Let i = -17136857/689167020 + 1/376594. What is the common denominator of 95/244 and i?
3660
What is the common denominator of (8/(-4626))/(29 - (-13424)/(-464)) and 145/1542?
4626
Let o = -10 + 17. Let t be 151 - ((-7)/49 - (-30)/14). Let z = 150 - t. Calculate the lowest common multiple of o and z.
7
Let j be 133/5 - (-12)/30. Let t be (180/j)/(2/12). Suppose -42*b = -t*b - 2. What is the lowest common multiple of 26 and b?
26
Let l(d) = 21*d**3 + 2*d**2 + 5*d - 9. What is the least common multiple of 69 and l(2)?
4071
Let p(r) = r**3 + 48*r**2 + 139*r + 194. What is the lowest common multiple of 672 and p(-45)?
672
Let q = -61934 - -12572545/203. Find the common denominator of q and 88/435.
3045
What is the common denominator of -41/7599 and (-4)/(-18)*(34/(-170) - 4)?
37995
Suppose 67 + 65 = -3*w. Let r(i) = -i**3 + 16*i**2 - 33*i + 20. Let t be r(14). Let m = w - t. What is the least common multiple of m and 9?
18
Let r = 29819/12 - 2481. Calculate the common denominator of -59/34 and r.
204
Let x = -44/21831 - -1654721/51957780. What is the common denominator of x and 53/20?
2380
Let c(w) = -4*w**2 - 2*w + 1. Let i be c(1). Calculate the least common multiple of 96/i*(2 - 7) and 30.
480
Suppose -5*m + 89 = 2*l, 0 = -3*m + 2*m - 3*l + 23. Suppose -7 + m = u. Calculate the lowest common multiple of (1 + -8)/(3878/(-36564)) and u.
330
Let w(y) = -y**2 - 17*y - 6. Let d be w(-12). Suppose -5*b + 132 = -b. What is the smallest common multiple of 14/4*d/9 and b?
231
Suppose 2580 = 4*r - 5*w, 0 = -5*r - 3*w + 4515 - 1327. What is the least common multiple of r and 128?
640
Let g(m) = -2*m - 11. Let a be g(-8). Suppose -3*d = -3*y - 6, -3*y - 16 = -a*y - 2*d. Calculate the common denominator of 10/11 and 249*(-1)/(-90)*y.
110
Let b = -1531979759/1827 + 838522. Find the common denominator of b and 16/21.
1827
Let c = -21243 - -7711202/363. Calculate the common denominator of c and -59/264.
2904
Let c = -27/121 + -1733/1452. Let f(i) = -3*i**3 - 2*i**2 + i - 2. Let p be f(-2). Find the common denominator of c and (148/20)/(p/(-10)).
12
Let x(d) = 2456*d**3 - d**2 - 4*d - 4. Let y be x(-1). Calculate the common denominator of 2/(-14) - (-2197)/y and -43/75.
675
Let m = -1153 + 2267. What is the smallest common multiple of m and 22?
12254
Let v = -424/33 - -18473/1353. Let h be 18/4 - 3/2. Suppose -h*j - 64 = 2. Calculate the common denominator of j and v.
41
Let u be 2/(362/(-122) - -3) + 0. Suppose 7*r + 19 - u = 0. Find the common denominator of 11/28 and (-4 - (-57)/24)/(15/r).
140
Let k(f) = 17*f - 2. Let z = -467 + 472. Calculate the smallest common multiple of z and k(1).
15
Let i = 15586 + -249293/16. What is the common denominator of i and 37/1028?
4112
Calculate the common denominator of (18/(-210))/(288/(-160))*43/(-4) and 71/1268.
26628
Suppose -4*a - 5*r - 15 = 0, 0 = 3*r - 4*r + 5. What is the common denominator of (a/(-2) - -5)*(-19)/156 and -143/18?
234
Suppose 526*z = 592*z - 22176. What is the lowest common multiple of z and 2772?
11088
Let s = -1688 - -4516. Suppose -5*i = 3*p - 2848, -3*p + 6*i = 7*i - s. Let x = p + -10343/11. What is the common denominator of 37/35 and x?
385
Let u = 1555599/82769336 - -1/91559. Calculate the common denominator of u and -73/452.
904
Let o be (0 - 6/3) + (4 - 6). Let h be 51/30*(-395)/o. Let g = h - 180. Find the common denominator of 59/9 and g.
72
Let s be 5/4 - (-1)/(-4). Calculate the common denominator of (1921/(-612))/(s/2) and -2 + 62/42*-1.
126
Let t = 23919615/232 + -103102. Calculate the common denominator of -101/290 and t.
1160
Let s(l) = -7*l**2 + 6*l + 57. Let h be s(-5). What is the common denominator of h/(-496) + 12/(-24) and -71/8?
248
Suppose 2*c = 3*w - 2284, -8*w = c + 2*c - 6099. What is the lowest common multiple of w and 42?
5334
Let l(k) = -k**2 - 4*k - 3. Let j be l(-1). Find the common denominator of 140/240*(-8 - j) and 23/127.
381
Find the common denominator of 7/405 and (-101)/(-45)*327/4142 + (-6)/(-5).
15390
Let w(r) be the third derivative of -r**5/30 - 7*r**4/8 - 7*r**3 + 12*r**2 - 5. Calculate the smallest common multiple of w(-3) and 15.
15
Let h(q) = -q**3 - q**2 + 2*q + 2. Let c be h(0). Suppose 12 = 5*k + c. Suppose -24 + k = -y. Calculate the least common multiple of y and 8.
88
What is the common denominator of 62/5 and -1*27/7281*-14*(-2)/(-12)?
4045
Let l(z) = 2*z**2 + 29*z - 49. Let g be l(-17). Calculate the common denominator of 43/16 and (-27)/g - (-2 + (-171)/(-68)).
272
Suppose 0 = -w, -7 = -5*x - 4*w + 3. Suppose -4*b + 70 = -x. Let a = -4450 - -4516. What is the smallest common multiple of a and b?
198
Calculate the common denominator of 2/105 and (8/(-5))/((-3973)/274).
3045
Let x = -4697 + 4737. What is the least common multiple of 24 and x?
120
Let o(v) = v**3 - 7*v**2 + 6*v + 12. Let t be o(6). Suppose 0 = t*w - w - 165. Let k = 26 + -20. What is the smallest common multiple of k and w?
30
Suppose 4*q + 5485 + 35871 = 0. Let k be 1/63*-1*(2 + q). Let z = k - 1196/7. Calculate the common denominator of -41/12 and z.
36
Let p(y) = -y + 16. Suppose v + 14 = 2*t, -5*t + 2*v + 30 = -3*v. What is the smallest common multiple of t and p(-9)?
200
Suppose 226*i = 152*i + 66748. What is the least common multiple of i and 820?
9020
Let r(a) = -a**2 + 33*a - 100. Let m be r(30). Calculate the common denominator of -71/33 and (m/45)/((-2)/(-47)).
99
Let j = 32 + -42. Let o = 19 + j. Suppose 20 = 11*b - o*b. Calculate the lowest common multiple of b and 18.
90
Let w be 2/4 + (-1)/(14/455). Find the common denominator of (118/w)/(-6*1/8) and 29/4.
12
Let s be (1 + -4 + 1)*4. Let m(r) = -r**3 - 9*r**2 - 9*r - 3. Calculate the lowest common multiple of m(s) and 5.
5
Let a(s) = 8*s**2 - 31*s - 71. Calculate the lowest common multiple of 2 + -4 + -2 + 12 and a(-5).
568
Suppose -58 - 173 = -7*n. Suppose 4*w = 3 + n. Suppose a + 2*m + 0 = 4, -w = -5*a + m. Calculate the lowest common multiple of a and 16.
16
Let y(m) = 460*m - 21617. Suppose -3*r - 2*b = b - 6, 3*r = b - 6. Calculate the least common multiple of y(47) and (r + 2)/((-2)/(-42)).
21
Suppose -j + 2*j - p - 1 = 0, -5*p - 5 = 5*j. Suppose j*t + 68 = 3*d - t, 0 = 2*d + t - 42. Suppose 8 = 3*s - s. What is the lowest common multiple of s and d?
44
Let j be 2/9 + 102438366/(-432). Let o = -235922 - j. Let l = o + -1199. What is the common denominator of l and 11/12?
24
Let t = -778 + 12441/16. Let f = 22163/2 + -11056. Calculate the common denominator of f and t.
16
Let j be 37 - (-1 + 2) - -3. Let l be 2*((-38)/114)/((-2)/(-51)). Let v = l + j. Calculate the least common multiple of 2 and v.
22
Let z = 221 - 212. Let n(a) = a**3 - 9*a**2 - 6*a + 56. What is the lowest common multiple of 20 and n(z)?
20
Suppose 0 = -4*i - 24, -r + 730*i + 3491 = 727*i. What is the smallest common multiple of r and 1057?
24311
Suppose g + 2*c - c - 96 = 0, 5*c = 20. What is the lowest common multiple of 2 + (18 - (-18 + 18)) and g?
460
Let y = 11 + -3. Let p = y + -5. Let o(b) = 68*b - 1223. Calculate the smallest common multiple of o(18) and p.
3
Let l(q) = -q**3 + 18*q**2 - 40*q + 12. Let a be l(16). Let b = a + 119. What is the lowest common multiple of 93 and b?
93
Suppose h = 2, -4*f = -5*f - 3*h + 141. Let n = f - 125. Suppose -4*w = 4*k - 13 - 11, 6 = -5*w + 4*k. What is the smallest common multiple of w and n?
10
Let s(y) be the second derivative of y**5/20 - 13*y**3/6 + y + 53. Calculate the least common multiple of 9 and s(6).
414
Let a = 3470 + -866. Calculate the least common multiple of 7 and a.
2604
What is the common denominator of 164/(-3280)*328/30 - 3/15 and 24/61?
4575
Suppose a - 5*u = -0*a + 6, -2*u - 18 = -3*a. What is the least common multiple of 78 and (-130)/a*(-42)/10?
546
Let i(u) = 99*u**2 + 54*u - 276. Calculate the smallest common multiple of i(5) and 27.
22221
Let o be (-8 - (-2)/1)/((-1)/5). Let t be (-1)/(-3)*o/(-5). What is the 