132
Suppose -34 = -4*s + 2*o, -o - 68 = -7*s - 6*o. What is the least common multiple of 897 and s?
2691
Let p = -2 - -22. Suppose 0 = k + 1, 31 = 5*y + 4*k - p. Suppose g + 38 = 3*c, 5*c + 2*g = -g + 40. What is the least common multiple of c and y?
11
Calculate the least common multiple of 54 and (-112)/616 + (0 - (-1060)/22).
432
Let t = -20406 + 20410. Calculate the lowest common multiple of t and ((-66)/(-4))/((-6)/(-8)).
44
Let u be (-2)/4 - (-396)/(-8). Let s = 74 + u. What is the lowest common multiple of 9 and s?
72
Let i be 130/13*(-1)/2. Let f(t) = t**2 - t - 5. Let m be f(i). Calculate the common denominator of 31/2 and 5/(-2)*(-84)/m.
10
Let d(h) = h**3 + 13*h**2 - 10*h - 22. Calculate the smallest common multiple of 198 and d(-12).
2178
Let z(w) = -20*w + 154. Calculate the lowest common multiple of z(-8) and 5.
1570
Let v be ((-2)/6 + 1)*-2*3. Let k = -5/18 + -677/90. What is the common denominator of v/8 + ((-11)/(-3) - 3) and k?
30
Suppose 2376 = 272*x - 261*x. Calculate the least common multiple of 60 and x.
1080
Let s(q) = -2*q + 5. Let u be s(0). Let t(k) = 5*k - 22. Let p(y) = y**2 + 2*y - 1. Calculate the least common multiple of p(-3) and t(u).
6
Calculate the common denominator of 1/2*80/(-15) and ((-1526)/105)/((-3)/(15/4)).
6
Let z(b) = 2*b**2 - 47*b - 401. What is the smallest common multiple of z(-7) and 143?
286
Suppose 0 = 6*w + 12*w - 1080. Calculate the lowest common multiple of w and 24.
120
Suppose -834 = -2*y - y. Suppose -90 = 68*c - 608 - 162. What is the smallest common multiple of c and y?
1390
Let i be (-4)/10 - 438/30. Let k = i - -22. Calculate the common denominator of (-2)/k + 406/392 and -17.
4
Let y = 110287/4644 + 2/1161. Let i(c) = 2*c - 17. Let h be i(9). Calculate the common denominator of -16*2/1 - h and y.
4
Let y = 3 + -7. Let k be (-191586)/(-27) + y/(-18). Let f = 142007/20 - k. What is the common denominator of 27/4 and f?
20
Let l = 1094304 + -15311899/14. Let v = l + -4162/7. Calculate the common denominator of v and -37/44.
308
Let u(g) = -g**2 + 10*g - 11. Let p be u(12). Let b = p - -51. Suppose 2*x - 7 = -3. Calculate the least common multiple of x and b.
16
Let b = 49/6 - 68/3. Suppose -4 = -5*i - 5*y + 81, -25 = -2*i + y. Find the common denominator of b and i/(-49) - (-37)/(-14).
14
Let f = 309 + -162. What is the smallest common multiple of f and (-4)/14*1 + (-96)/(-42)?
294
Let d = 84 + -80. Find the common denominator of (-26)/8 - (-1)/(-2) and ((-13)/13)/(d*2/300).
4
Calculate the least common multiple of 1059 and 1/4 - (-736)/128.
2118
Suppose 2*r + 3*f - 2 = 4*f, -4*r = 4*f + 8. Suppose 2*c - v + 1 = r, c = -v + 2*v - 3. What is the least common multiple of c and 3?
6
Let q = 55368 - 4872303/88. Find the common denominator of 51/64 and q.
704
Let r = 12 + -9. Suppose r*w + 24 = 99. Suppose 3*h - w = -1. Calculate the smallest common multiple of h and 11.
88
Let p(x) be the second derivative of -6*x + x**2 - 1/3*x**3 + 7/12*x**4 + 0. What is the smallest common multiple of 10 and p(1)?
70
What is the common denominator of 45/31 and -1*312/(-99) + 6/9?
341
Let x(h) be the second derivative of -h**5/10 - h**4/6 + 5*h**3/6 + h**2 + 5*h. Let s be x(4). Find the common denominator of (-4 + s/(-22))/1 and 91/18.
198
Let h = -78/17 - 473/34. Calculate the common denominator of -111/182 and h.
182
Let u be (54/4)/((-165)/24508). Suppose 3*c - 966 = 5070. Let q = u + c. Calculate the common denominator of 89/2 and q.
10
Let i be ((-15465)/(-891))/((-8)/(-1860)). Let d = i + -36719/9. Let k = d - -65/11. What is the common denominator of k and -49/10?
10
Let p = 5637 + -129627/23. Let a = 983/138 + p. What is the common denominator of a and (6/21)/((-24)/(-1106))?
6
Let t = 1/66 - 68/11. Let w = 1/105 + 6191/420. Find the common denominator of t and w.
12
Let x be ((-9)/6)/(6/128). Let h = x + 36. What is the lowest common multiple of 5 and h?
20
Let m = -5 + 7. Let i(a) = -a**3 - 4*a**2 - a - 4. Let v be i(-4). Suppose v*n - n + 12 = 0. What is the least common multiple of n and m?
12
Let q(o) = -589*o**2 + 2*o - 1. Let l be q(-4). Let b = 94247/10 + l. Calculate the common denominator of -44/5 and b.
10
Let s(b) = 2*b + 14. Let a be s(-3). Suppose -12*l + 72 = -a*l. What is the smallest common multiple of l and 33?
198
Let a = 9204209/20 - 460322. Let s be (8/30)/(6/(-2628)). Let m = a - s. What is the common denominator of m and -29/12?
12
Let s = -1181 - -13009/11. Let w = 5338/15 - 1906/5. Calculate the common denominator of s and w.
33
Let w(g) = -g + 8. Let m be w(6). What is the common denominator of (3/(12 + 0))/((-10)/(-140)) and 1/m - (-176)/28?
14
Let c(n) = 0 - 8*n + 4 + 7*n + 1. Calculate the least common multiple of (2 - 2 - 1)/(3/(-42)) and c(-6).
154
Let a = 99239/50 + -1985. Find the common denominator of -83/6 and a.
150
Suppose 0 = 3*y - 2*y - 7. Let p = y + 3. Let d(m) = m**3 - 3*m**2 + 2. What is the smallest common multiple of p and d(3)?
10
Let i = 1/20501 - 553543/328016. Calculate the common denominator of i and -2*(-122)/(-104) + -1.
208
Let z = 6 + -3. Let d(i) = -i**3 + 3*i**2 + 6. Calculate the least common multiple of d(z) and 2.
6
Let g = 47 + -55. Let q(t) = -t**3 - 7*t**2 - 3*t - 5. Let s be q(-7). Let m = g + s. What is the lowest common multiple of m and 8?
8
Let o(r) = r**3 + 29*r**2 - 33*r + 9. Calculate the smallest common multiple of o(-30) and 90.
990
Suppose 0 = -a + 4*p + 12409, -5*p - 37213 = -3*a - 0*p. Let o = -223289/18 + a. Find the common denominator of 34/(-4) - (46 + -46) and o.
18
Let a = 39556/795 - 249/5. What is the common denominator of a and -47/33?
1749
Suppose 0 = 2*s + 3*s + c - 41, 0 = -5*s + 4*c + 36. Let w(m) = -m**2 - 21*m + 28. Calculate the least common multiple of s and w(-22).
24
Let u = 116134 + -452313/4. Let j = u - 3071. Calculate the common denominator of 83/2 and j.
4
What is the common denominator of 6/66 - 1046/(-352) and ((-7)/4)/(3/13)?
48
Let p = 150 + -88. Suppose -4*r - 8 = -2*u, -4*u - r = -p + 1. Calculate the smallest common multiple of 16 and u.
112
Calculate the common denominator of (165/25)/((-28)/(-42)) and 2 + (2 - (-434)/(-180)).
90
Let z = 16 + 9. Let s = 134/15 + -1201/210. What is the common denominator of 50/z*(-150)/16 and s?
28
Suppose -4*w = 2*s + 2 - 28, 3*w = 4*s - 96. What is the lowest common multiple of 252 and s?
252
Suppose -4*k = -750 - 274. What is the smallest common multiple of ((-12)/14)/3 + k/14 and 50?
450
Let y = 19 - 31. What is the common denominator of -2 + (-141)/y + -1 and -85/18?
36
Calculate the common denominator of 23/54 and 553/189 + 6 - 7.
54
Suppose f + 4*i - 24 = -f, 3*i = -2*f + 26. Calculate the common denominator of (3/(-140)*2)/(-27 - 485397/(-17985)) and (-66)/f*(0 + -3).
56
Let x(z) = 32*z - 89. What is the least common multiple of x(7) and 30?
270
Let c = 0 - -3. Let d = 45 - 21. What is the least common multiple of c and d?
24
Let m be -3*3/(-6)*(-14)/(-7). Calculate the lowest common multiple of 4/6 + ((-436)/(-12) - m) and 6.
102
Calculate the common denominator of -115/48 and 3130/(-272) - (-8)/(-68).
48
Let y be 102/(-24)*(-52)/(-6). Let t = -167/4 - y. Find the common denominator of 83/12 and t.
12
Suppose 5*v + 122 = -4*a + 2, 0 = v + 2*a + 18. Let c = v + 58. Suppose 5*q - 42 = -2*i, i + 68 = 5*i + 2*q. Calculate the lowest common multiple of c and i.
240
Let x = -5 + 9. What is the lowest common multiple of x and (-49)/(-4) - 8/(96/(-9))?
52
Let v = 2/993 + 9817/1324. Let k = 2971/1302 - 25/217. Find the common denominator of k and v.
12
Let b = -9 + 15. Calculate the common denominator of (-42)/(-15*(-2)/b) and -10/3.
15
Let v(c) = c**3 - c**2 - 5*c - 7. Let a(q) = 2*q**3 + 2*q**2 - 2*q - 2. Calculate the smallest common multiple of a(2) and v(4).
126
Let p = 269/6 + -1643/42. What is the common denominator of p and (-4 - -6) + 2/(-8)?
28
Suppose -5*q = 3 + 22. Find the common denominator of 7/12 and q/80*-1*37.
48
Let n = 87/26 - 232/65. Find the common denominator of -19/16 and n.
1040
Find the common denominator of -69/28 and (218/24)/(224/48).
56
Let i(a) = -a**2 - 68*a - 305. What is the least common multiple of 175 and i(-5)?
350
Let k = -37230/91 - -409. Calculate the common denominator of 39/70 and k.
910
Suppose 4*d - d = 420. Wha