(d) = -3*d**3 + 2*d**2 - 4*d - 2. Let n be y(-5). Suppose -n - 102 = 5*q. Let f = -3614/33 - q. Find the common denominator of 10/3 and f.
33
Let w = 199 + -194. Suppose w*v + f = -1 + 19, f = -v + 6. Calculate the lowest common multiple of 19 and v.
57
Suppose -301*j = -299*j - 10992. What is the least common multiple of 6 and j?
5496
Let n = -1463/846 + -31/47. Let y = -37069/1107 + 1420/41. What is the common denominator of y and n?
54
Let h = 705869/93888 + -1185/163. Find the common denominator of -61/112 and h.
4032
Suppose 3*j - m + 44683 = 0, 0*j + 3*m = -4*j - 59599. Let z = -22120562/1485 - j. Let n = 10892/1485 + z. What is the common denominator of n and -33/8?
24
Let b(i) = -12*i - 8. Let y be b(-1). Let u be 2 + (-3 - -2) + y. Suppose -6*a = -a - u. Calculate the lowest common multiple of a and 32.
32
Let b = -441115/22 - -20054. Let p be (340/(-1224))/((-74)/(-386)). Let s = p + 105/37. Find the common denominator of b and s.
198
Calculate the common denominator of 0 + -4 - ((-10)/(-90) + -3) and -13/488.
4392
Suppose -135*r = -149*r + 420. What is the lowest common multiple of (-118)/(-8) - 1/(-4) and r?
30
Let u be 6 + -2 + (4 - 9). Let v be (u/(-2))/(21/(-126)). Let j(y) = -3*y - 2. What is the smallest common multiple of j(v) and 8?
56
Suppose 81*d - 5*k + 64 = 85*d, -32 = -4*k. Suppose -5*m = -38 - 42. What is the least common multiple of m and d?
48
Suppose 0 = -175*u + 171*u + 4*n + 4444, 0 = -3*u + n + 3335. What is the lowest common multiple of u and 139?
1112
Calculate the common denominator of (-8 - (-2235)/280)*((-326)/(-3) + 2) and -55/434.
1302
Let h = 11 - -198. Suppose -u + h = -107. What is the lowest common multiple of 24 and u?
1896
Suppose 4 = -8*q + 20. What is the common denominator of -23/14 and ((-29)/114)/(q*(-35)/45)?
532
Let m = -37/3 + 23/2. Let a be 1/9 + (-595781)/(-117). Let s = a + -5094. What is the common denominator of s and m?
78
Let i = -27/17072 + 3/176. Let q = i - 3833/97. Calculate the common denominator of q and 194/4*(-2)/(-10).
10
Let k = 46217 + -13171793/285. Calculate the common denominator of 33/304 and k.
4560
What is the least common multiple of 350 and (-8)/(-32) + 1005/12?
2100
Let b(i) = -16 + 26 + 19*i - 17*i. Let s = -48 - -72. Calculate the lowest common multiple of s and b(4).
72
Let w = 11883 - 11759. Calculate the least common multiple of 496 and w.
496
Let s = -10 - -89. Suppose s*q + 21 = 82*q. Calculate the smallest common multiple of 16 and q.
112
Suppose -5*c - c = -48. Let h(w) be the second derivative of -w**5/20 + w**4/3 + w**3/6 - w**2/2 - 13*w. What is the lowest common multiple of h(4) and c?
24
Let d be (70/10 - 11)/((-1)/(-2)). Suppose 3*k = k + 180. What is the common denominator of 151/6 and ((-140)/k)/(d/(-42))?
6
Let u(f) = 2*f**2 - 12*f - 6. Suppose -6*b - 4*g = -3*b - 250, 4*b + 2*g = 320. What is the common denominator of 3/(128/b - 20/15) and u(6)?
4
Find the common denominator of 6/(-330)*-5 - (-12985)/39270 and (-2 - (-90)/44)*-9.
1122
Let z = 49464 - 49458. What is the lowest common multiple of -1*(-7)/(-2)*-4 and z?
42
Find the common denominator of (((-141)/162)/((-420)/126))/(4 + 2) and 103/108.
1080
Suppose 2*n - 8 = 0, 2*x = 3*x + 4*n - 2214. What is the smallest common multiple of 3 and x?
6594
Suppose 0 = 3*m - 9 - 6, 0 = -3*a + 2*m - 4. Let y be (-1)/((-9)/7)*(67 + a). Let q = -9031/168 + y. What is the common denominator of q and -9/20?
280
Suppose -8*i - 165 + 362 = -379. What is the smallest common multiple of 70 and i?
2520
Let s = 26315/566 + 2/283. Calculate the common denominator of s and (-12 + ((-95328)/660)/(-12))*430/(-8).
22
Find the common denominator of -23 + -2 - 6571788/(-262350) and -82/165.
825
Suppose -3*s = -3*h - 4 + 1, 32 = -5*h - 4*s. Calculate the common denominator of -41/30 and (12/(-45))/(h/(-186)).
30
Suppose -5*y - 20 = -y. Let f(j) = -j**3 - 4*j**2 + 3*j. Let d(l) = 3153*l + 36. Calculate the lowest common multiple of f(y) and d(0).
180
Suppose -5*o - 535 = -185. Let t = -13027/1042 - -1/521. What is the common denominator of t and ((-833)/o - 4) + 4?
10
What is the common denominator of 41/1323 and -60*602/(-67914) - ((-6)/3)/(-4)?
29106
Let f = -137/4 - -517/15. What is the common denominator of 47/30 and f?
60
Let p = 18344 + -18316. What is the least common multiple of p and 1879?
52612
What is the common denominator of 18/2977 and (1*(147/15 + -6))/(2/10)?
2977
Let p = 1970 - 1967. Calculate the smallest common multiple of 237 and p.
237
Let v = -4475 + 6895. What is the lowest common multiple of 2420 and v?
2420
Let o = -48449/18 + 2686. What is the common denominator of -93/1900 and o?
17100
Let l(t) = t**2 + 19*t - 28. Let m be l(-17). Let p = -41 - m. Suppose 0 = 2*n - 4*c - 2 + 12, -8 = -2*c. Calculate the lowest common multiple of p and n.
21
Let d = 27377407559048561/85936 - 318579030434. Let w = 2/5371 + d. What is the common denominator of 119/66 and w?
528
Let k = 6837583739/57 - 119947140. Let p = -10470 + k. Find the common denominator of -101/18 and p.
342
Let w = 6237 - 6197. What is the smallest common multiple of w and 4920?
4920
Suppose 4*m - 196 = -4*z, 12*m + 2*z = 3*z + 588. What is the lowest common multiple of m and 10?
490
Let n = 2056 - 2053. Calculate the smallest common multiple of 237 and n.
237
Let f(t) = -15*t + 94. Let h be f(6). Suppose 0 = -w + 6*a - 11*a + 30, -90 = -3*w - h*a. What is the smallest common multiple of 18 and w?
90
Let w(s) = s**3 - 2*s - 1. Let l be w(2). Suppose -j + 3*y - l = -12, -3*y + 6 = 4*j. Calculate the smallest common multiple of 18 and j.
18
Suppose -3*s + 507 = -3*r, -s + 483*r = 481*r - 167. What is the lowest common multiple of 47 and s?
8037
Let k be -1*((-2 - -4) + -5). Let p be -3*(-4 + 3)*k. Find the common denominator of -47/2 and -5 + p + 161/(-18).
18
Suppose 8*p - 1710 = -87*p. Calculate the smallest common multiple of p and 3004.
27036
Calculate the common denominator of 89/468 and 200/1404*((-6)/8)/((-84)/(-140)).
1404
Let l be -4 - 392967/(-198) - 1*4. Let a = l - 1977. Calculate the common denominator of -105/52 and a.
572
Let j(z) = -22*z**3 + 2*z**2 - 15*z + 3. Let r be j(5). Calculate the smallest common multiple of 12 and 4/10 + r/(-45).
372
Let x = -2/4645 + 41833/65030. Let t = -15206/5 - -272953/90. Calculate the common denominator of x and t.
126
Suppose -3*a + 0*i = -2*i - 4, -a = -3*i - 6. Let u(p) = 3*p**2 - 30. Let f be u(a). Let w = f - -31. What is the lowest common multiple of w and 7?
7
Let p = 54099/4 + -676293/50. Calculate the common denominator of p and 127/140.
700
Let f(c) = -c**3 - 5*c**2 - 2. Let m be f(-5). Let l = 2740 + -49273/18. Find the common denominator of (-38)/396 - m/(-11) and l.
18
Suppose -1685 = -48*t + 43*t. Let a = t - 116. What is the common denominator of a/84 - (-34)/(-51) and -43/6?
84
Calculate the lowest common multiple of -16 + (-5376)/(-240) + (-3)/(-5) + -1 and 1347.
2694
What is the smallest common multiple of 366/(-1586) + (-510)/(-13) and 3?
39
Suppose 181*x - 58*x - 11193 = 0. Calculate the smallest common multiple of 3269 and x.
42497
Let q be 9/(-45) + 1/5. Let z be (1 - q)/((-3)/(-27)). What is the lowest common multiple of 11 and (z/(-15))/(1/(-5))?
33
Let w(c) be the third derivative of c**6/120 + c**5/30 - 3*c**4/8 + 7*c**3/6 + 63*c**2. Calculate the lowest common multiple of w(3) and 45.
225
Suppose 8751 = 3*l - 2*n - 66296, -l - 2*n = -25005. Let m = 550193/22 - l. Calculate the common denominator of (-878)/272 + 9/3 and m.
1496
Suppose -4*i = -3*i - 32. What is the lowest common multiple of (-27 - -32)/(15/36) and i?
96
Let o = -64520/169477 - -1/2387. Find the common denominator of 45/142 and o.
142
Let x be 2/(-1) + 0 - 26. Let k = -6 - x. Suppose 4*p - 3*t - 27 = 0, 0 = -0*p - 7*p - 3*t + 105. What is the lowest common multiple of k and p?
132
Calculate the common denominator of 5091/(-30456) - ((-4)/7)/(216/28) and -59/1880.
1880
Calculate the smallest common multiple of ((-1178)/(-62))/(4/40) and 760.
760
Let a be (13 + -10)*(-2)/(-1). Let k(x) = -2*x + 30. What is the lowest common multiple of 10 and k(a)?
90
Suppose -5*a + 97 + 158 = 0. Suppose -a*h = -55*h + 112. Suppose -5*x + h = -3*x - n, 5*n - 28 = -4*x. Calculate the least common multiple of x and 12.
1