ate the common denominator of 2 + (-1)/(40/246) and c/16*(6 - 23).
20
What is the common denominator of 5/(15/(-3)) + 153/945 and -125/168?
840
Suppose 0 = y - 3*y + 48. Let x = 35653/8 + -4465. Find the common denominator of x and -5 + 5 - 262/y.
24
Let t = -14 - 25. Find the common denominator of 31/5 and 1410/(-546) + (-6)/t.
35
Calculate the common denominator of (728/(-10) - -4)*3/(-36) and 121/10.
30
Calculate the common denominator of 3/(((-80)/(-108))/10) and -15/2.
2
Suppose -3*w + f + 177 = 0, -w + 84*f + 57 = 83*f. What is the least common multiple of w and 100?
300
Let l be ((-110)/(-4))/(1*684/(-16)). Let g = l - -10823/2736. Calculate the common denominator of -31/18 and g.
144
Let a = 141 + -121. Let x be (1/(-2))/(2/(-24)). What is the lowest common multiple of a/15 - (-4)/x and 3?
6
Suppose 4831*a = 4820*a + 3575. What is the smallest common multiple of a and 7?
2275
Let w = 4326969/11543 - -1/1649. Let g = -381 + w. Let v = -2008 - -14085/7. Find the common denominator of g and v.
7
Let w(r) = -2*r**3 - r**2 + r + 1. Let g be w(-1). Let c be 0/(-2)*g/(-2). Suppose 12 = -c*k + 3*k. What is the smallest common multiple of 2 and k?
4
Calculate the common denominator of 1*-3 + (-848)/960*-3 and 67/69.
1380
Suppose -4*w - 3*k - 103 = -5, -86 = 3*w - 4*k. Let p = w + 28. Suppose 4*g + 4 = -2*i, 5*g - 3 + 35 = p*i. Calculate the lowest common multiple of 5 and i.
30
Let w = 2132351/7768844 + -4/47371. Find the common denominator of w and -5/36.
1476
Calculate the lowest common multiple of 198 and ((-1188)/(-77))/(10/105).
1782
Let r = -66601/330 + 2260/11. Let n = -80451/22 + 3658. Calculate the common denominator of r and n.
330
Let j = 4 - -1. Suppose -j*i - 17 = -2. Find the common denominator of -19 and i + (-82)/(-16) + 1.
8
Let p = -935807510909/82 + 11412521031. Let g = 234349 - p. Let n = g - -4/41. Calculate the common denominator of -15 and n.
2
Let s(w) = 3*w**2 + 2*w - 7. Suppose 5*r + 93 = -4*c + 313, 146 = 3*c - r. Calculate the least common multiple of s(-3) and c.
350
Suppose -j + 37 = 5*d - 0*j, 2*d = -j + 16. Suppose 0 = -n + d - 0. What is the smallest common multiple of n and 3?
21
Suppose -80 = 5*y - 10*y. Suppose 0 = 3*k - z + y - 3, -z + 1 = 0. Let p(h) = -3*h + 4. Calculate the smallest common multiple of 14 and p(k).
112
Calculate the common denominator of 93/28 and (-93)/(-2108)*23/3.
476
Let o(l) be the third derivative of -l**6/60 - l**5/30 - l**4/6 - l**3/3 + 4*l**2. What is the least common multiple of o(-2) and ((-6)/(-18))/(1/48)?
112
Suppose 3*h = -13*h + 112. Suppose -7 - 1 = -4*i. Calculate the lowest common multiple of i and h.
14
Let j = -84697/11336 + 784/109. What is the common denominator of j and -59/44?
1144
Let z = 16 + -9. Let c(i) = -i**3 + 8*i**2 - 4*i - 1. What is the smallest common multiple of c(z) and 18*(24/9 + -2)?
60
Suppose 37*r - 136 = 160. What is the smallest common multiple of r and 136?
136
Suppose -8*o = -3*o - 4*h - 12, o + 2*h = -6. Suppose -2*l + 19 = w, -w + 49 + o = 5*l. What is the least common multiple of 3/2*200/15 and l?
20
Suppose 0 = 3*n - 3*y - 1935, -5*n - 4*y + 3392 = 203. Let m = -63627 + 192740/3. Let b = m - n. What is the common denominator of 11/20 and b?
60
Let f = 90/439 - 23311/8780. Calculate the common denominator of f and (-2)/(-5) - (-985)/350.
140
Let i = 1386 + -1302. What is the least common multiple of 120 and i?
840
Suppose -13*j + 4 + 230 = 0. What is the lowest common multiple of 210 and j?
630
Let n(g) = -33*g**2 + 1. Let t be n(1). Let v = -24 - t. Let d = 8 + 5. What is the lowest common multiple of v and d?
104
Suppose 0*o + 100 = -5*o. What is the common denominator of -61/24 and o/(-6)*171/(-96)*2?
24
Let u(d) = d**3 + 10*d**2 + 4*d + 4. Let j be u(-5). What is the common denominator of (17/(-3))/(6/5) and 3 - j/36*3?
36
Let d(n) = 4*n**2 - 4*n - 6. Let r be d(6). Suppose 6*u = -0*u + r. Let s = -10 + u. What is the least common multiple of s and 11?
99
Let x(a) be the second derivative of a**5/20 - 2*a**4/3 - 5*a**3/6 + 4*a**2 - 5*a. Let q be x(8). What is the least common multiple of 8 and 3/4*q/(-8)?
24
Let o = -3001/3608 - 3/328. What is the common denominator of o and -59/6?
132
Let b be 15*(-2 + (-24)/(-10)). Suppose 0 = b*q - 4*q - 70. What is the common denominator of -38/9 and q/(-6) - 2/4?
9
Suppose -4*q + 5*x = -171, 0*q + q - 47 = -3*x. Let b = 54 - q. Calculate the smallest common multiple of b and 38.
190
Let u = -8 - -6. Let z = -9 - u. What is the common denominator of 23/28 and 19/10*(z - -10)?
140
Let k = 496847/35 - 177355/7. Let m = k - -11179. Let o = m + -4197/110. Find the common denominator of -7/6 and o.
66
Let k(z) = 3*z + 2. Suppose -5*o + 5*i - i + 10 = 0, 13 = 3*o - i. What is the least common multiple of k(4) and 94/o + 3/9?
112
Let u = 89107/288 + -2813/9. What is the common denominator of u and 5/2?
32
Calculate the smallest common multiple of (-404)/(-12) + (-9)/(27/2) and 33.
33
Suppose -3*c = 2*n - 12, -n - 9 = 3*c - 24. Suppose s = c*s - 25. Suppose -2*l + 59 = 5*m, -s*l + 1 = -m + 2. Calculate the lowest common multiple of 6 and m.
66
Suppose 0*y = 5*y - 175. Let h be 14/y - (-18)/(-170). Let r = 71/68 - h. What is the common denominator of -57/7 and r?
28
Let k(x) = -6*x - 1. Let o(p) = p - 1. Let a(h) = k(h) + 2*o(h). Calculate the lowest common multiple of 27 and a(-6).
189
Let x(g) be the first derivative of g**3/3 + g**2 + 3*g + 13. Suppose -w = -4, 0 = -0*j + 2*j + 4*w - 40. Calculate the smallest common multiple of j and x(-5).
36
Let j = 239 - 214. Suppose 0*z + 9 = -3*z. Let x = j + z. Calculate the least common multiple of 18 and x.
198
Let b = -4/3457 + 31129/13828. Let l = 394939/22 - 17955. Find the common denominator of b and l.
44
Let f(s) = s**3 + 4*s**2 + 3*s - 1. Let m be f(-2). Let p(o) = 25*o - 4. What is the smallest common multiple of p(m) and 6?
42
Let w = -527707/90 - -5864. Find the common denominator of w and -97/360.
360
Let h(l) = 16*l + 62. Calculate the lowest common multiple of 14 and h(-3).
14
Let j = 27 - 46. Let f = -54 - j. Let k = 39 + f. What is the lowest common multiple of 11 and k?
44
Let y(b) = 56*b + 2. Let h be y(7). Suppose 20*l + h = 22*l. Calculate the common denominator of 73/16 and l/(-28) - 10/(-35).
16
Find the common denominator of 69/14 and 2/25 + (-1165)/4250.
1190
Suppose -4*c = -0*d + d + 12, 3 = -c. Suppose d = -0*o - 2*o + 4. What is the lowest common multiple of o and 9?
18
Let r(c) = -7 + 16 - c**2 + 2*c - 9 - 111*c**3. Let l be r(1). Let w = 157 + l. What is the common denominator of w and 31/11?
11
Suppose 3*z = -3*h + 207, -2*z + 4*z - 2*h = 130. Let r = z - 39. Calculate the least common multiple of r and 10.
140
Suppose 4*l - 241 = -5*j + 199, 5*l - 4*j - 509 = 0. What is the lowest common multiple of l and 35?
105
Let b = 13777/42 - 998/3. Suppose 2*f - 1 - 7 = 0. Find the common denominator of b and (-2)/f + 158/(-16).
56
Let p be 8/(-4) - (-570)/7. Let f = 7025/91 - p. Let x = -2531/7 - -361. Find the common denominator of f and x.
91
Let t(w) = 2*w**2 - 4*w - 8. Let s be t(6). Calculate the lowest common multiple of (-2)/(-5) - (-464)/s and 22.
132
What is the common denominator of -7/16 and (-632)/(-96) + 4 + -1?
48
Let v = 18956240/219 + -86558. What is the common denominator of v and 83/33?
2409
Suppose -2*t = -3*s + 50, -s + 3*t + 15 = 4*t. Let x(o) = -o**3 + o**2 + 2*o + 2. What is the lowest common multiple of s and x(-3)?
32
Let o(u) = u**3 + 4*u**2 - 25*u - 7. What is the smallest common multiple of o(-7) and 210?
210
Let k be 4*111850/1716 - (3 + -2). Let r = 3350/13 - k. What is the common denominator of -55/24 and r?
264
Calculate the common denominator of 57/88 and 6/(-93) - 9615/(-558).
264
Suppose 2 = 2*s - 8. Suppose 4*r - r + t + 21 = 0, r = -s*t + 7. What is the common denominator of 17/6 and r/20 - (-171)/(-10)?
6
What is the least common multiple of 2/7 + 1672/28 and 36?
180
Suppose b = -2*d + 13, -4*b = 4*d - 53 + 17. Suppose -b*n = -3*u + 19, -3*n + 3 = 4*u - 3. Calculate the common denominator of 91/2 and (-11)/u*(-6)/20.
10
Suppose 780 = 31*x + 21*x. What is the smallest common multiple of 252 and x?
1260
Let c = -4668 + 46581/10. Let y = -15341/4 - -3815. Find the common denominator of c and y.
20
Suppos