 = -4*r. Let c = -2203/3 + r. What is the common denominator of (16/(-12) + 4)*(-111)/36 and c?
9
Let x = 99 + 57. Calculate the smallest common multiple of x and 30.
780
Let s = -7032/33389 + -820466857/12687820. Let i = -1188/19 - s. What is the common denominator of i and 85/18?
180
Let j = 1307/30 - 113/3. Let m = -16871/22 - -765. Calculate the common denominator of j and m.
110
Calculate the common denominator of 13/11 and ((-27)/(-273))/(3/4).
1001
Let g be -3*1*(2 - 4). Let h(m) = 9*m + 221. Let k be h(31). What is the common denominator of ((-30)/k)/(g/(-205)) and 71/2?
20
Let g = -5753/42 - -427/3. Let j = -2375/104 + 435/13. What is the common denominator of j and g?
56
Let o(p) = -p**2 - 7*p + 11. Let y be o(-8). What is the common denominator of -107/10 and 0 - ((-61)/10 - y)?
10
What is the common denominator of (-12)/78 - (0 - (-236)/325) and 37/5?
25
Calculate the common denominator of (-1)/12*-3 + -7 and 34/(-3)*3/5.
20
Suppose 22 = 157*l - 155*l. What is the lowest common multiple of 4 and l?
44
What is the common denominator of (-8435)/980 + (-3)/(-4) and 4/(-6) - (-1)/15?
35
Suppose -1 = s - 3. Suppose -o = -3*o + 5*h - 2, -o - 5*h + 29 = 0. Suppose -2*r = -o - 23. What is the least common multiple of r and s?
16
Let n(v) = -5*v**2 - v - 5. Let b be 0 + 5 - (-3)/(-3). Let l be n(b). Calculate the common denominator of l/(-2) - 0/(-2) and 23/7.
14
Let i = -250/39 - 8555/156. Let a = i + 62. What is the common denominator of -52/7 and a?
28
What is the common denominator of ((-40)/240)/((-10)/(-51)) and 49/45?
180
Suppose -5*t = -3*i + 31, i + 8 = -0*i - 2*t. What is the common denominator of ((-2)/(-7))/(1/29) and 1 + i*17/12?
42
Let i(h) = 9*h**3 - 2*h**2 + 2*h - 1. Suppose -2*n - 3*n + 5 = 0. What is the lowest common multiple of i(n) and 62?
248
Let k be 3/12 + (-19048)/320. Let a = -1063/10 + 1827/40. Let v = a - k. What is the common denominator of -25/8 and v?
40
Suppose 5*m = -1 + 16. Suppose 3*r - 3*u - 1 = -u, -5*r = -3*u - m. Calculate the smallest common multiple of 6 and r.
6
Let v be (-12)/8*12/(-9). Let z be ((-70)/(-21))/(v/(-6)). Find the common denominator of 1/z*(-1505)/(-252) and -61/6.
72
Suppose -5*b = 2*x - 160, 23 = 5*x - 2. Calculate the least common multiple of b and 84.
420
Let r be ((-15)/6 + -1)*2. Let z be 5 + r + (-308)/(-370). Let g = z + -14489/2960. Find the common denominator of -97/10 and g.
80
Let j = 215789/11066 + -1/5533. Let x = 43633/16 + -2728. Calculate the common denominator of j and x.
16
Let r = -2/7079 - -438948/176975. What is the common denominator of -16/5 and r?
25
Let o = 12 - 1. Suppose 3*c = -5 + o. What is the lowest common multiple of 9 + -1 + -2 + 0 and c?
6
Suppose -54 = -4*z - 2*l, 5*z - 21*l - 75 = -22*l. Calculate the lowest common multiple of z and 24.
48
Let k = 48613 + -242177/5. Let r = k - 177. Calculate the common denominator of (8/(-36))/((-1)/(-29)) and r.
45
Suppose 3*q - 7 - 8 = -3*o, -5*q - 4*o + 21 = 0. Calculate the least common multiple of q and ((-3)/(-6))/((-2)/(-12)).
3
Let o = 228486855743002/2023 + -112944569102. Let u = 11550/289 + o. Let t = 3686 + u. Find the common denominator of 43/3 and t.
21
Suppose 2*m + 12 = -2*k, 2*k + 2*m - 7*m = -26. Find the common denominator of ((-170)/(-45))/(k/30) and (2/33)/((484/99)/11).
66
Let i = -2122/9 + 471/2. Calculate the common denominator of ((-35)/2)/(-7)*(-76)/40 and i.
36
Let p be 18/((-2170)/(-15) + -2). Let x = -1763/2140 - p. Calculate the common denominator of x and -47/36.
180
What is the common denominator of -77/16 and (-1675)/68 + 0 + 28/(-238)?
16
Let u(h) = h**3 + 24*h**2 - 45*h - 136. Calculate the lowest common multiple of 6 and u(-25).
1092
Suppose 0 = -4*m + 11 - 3. Calculate the common denominator of (m + -21)*6*(-1)/16 and 25/2.
8
Let t(o) = o**3 + 5*o**2 - 9*o - 14. What is the least common multiple of 4 and t(-6)?
4
Suppose -4*t - 53*h + 24 = -57*h, -5*t + 24 = -3*h. What is the least common multiple of t and 348?
348
Let k(t) = t**2 - 15*t + 8. Let n be k(11). Let g be -1*2 + 152/n. Let o = g - -5. What is the common denominator of o and -35/9?
9
Suppose 1050 = 28*t - 21*t. What is the least common multiple of t and 30?
150
Let h(z) = 5*z**3 - 5*z**2 + 4*z. Let o be h(1). Suppose 4*y = 5*b - 44, -o*y + 19 + 1 = 3*b. Calculate the least common multiple of b and 14.
56
Let m be 2*(112/6 - 1). Let w = m + -625/18. Calculate the common denominator of w and (-6)/11*10/8.
198
Let y = 16 - -1. Suppose -5*a + y = 3*z, -5*z + 14 + 3 = -3*a. Suppose -14 - 18 = -z*p. What is the lowest common multiple of p and 4?
8
Let o be ((-2)/(-3))/((-60)/678855). Let v be -30*((-2274)/(-9) - 2). Let a = v - o. What is the common denominator of a and 41/4?
12
Let o(j) be the second derivative of -j**4/12 - j**3/2 + 9*j**2/2 - 5*j. Calculate the lowest common multiple of o(-4) and 5.
5
Let f(s) = 23*s**2 + s. Suppose 2*v + 3*z + 4 = 6*v, 0 = 2*v + z - 2. Find the common denominator of f(v) and 6/15 + (-228)/(-5).
1
Let j(n) = -n**3 + 6*n**2 - 3*n - 10. Let k be j(5). Suppose 4*p - 36 = -k*p. Calculate the lowest common multiple of p and 10.
90
Let n = -2874/16115 + -17/293. Calculate the common denominator of n and -85/44.
220
Let i = 2/1081 + -48667/11891. Suppose 3*u + 2 = 5*u. What is the common denominator of i and u*(-86)/(-48)*3?
88
Let f = 1 - 2. Let c be f - ((-99507)/42 - -1). Let i = -2365 + c. Calculate the common denominator of 61/10 and i.
70
Calculate the common denominator of 681/(-1188) + (-6)/27 and 2 - (59/(-5))/(28/(-5)).
308
Let z(j) = -j**3 - 7*j**2 - 6*j + 1. Let i be z(-6). Let v be 0/i + 41382/(-3325). Let u = 8/175 + v. Find the common denominator of u and -31/6.
30
Suppose q + 425 = 5*h, -2*q = 3*h + 3*q - 227. Let n be (0 - h/(-3))*-10. What is the common denominator of -23/6 and (-3364)/n + 6/21?
30
What is the common denominator of -73/15 and (530/(-225))/((0 - 2)*1)?
45
Suppose 3*c - 33 = -3*b, b - 2 = 3*c - 11. Calculate the least common multiple of 3 and b.
6
Suppose -d + 3 = -0*d - 3*n, -3*d + 4*n + 4 = 0. What is the common denominator of (d + (-50)/(-35))*70/(-48) and 37/34?
204
Let w = 42 - 40. Calculate the smallest common multiple of 11 and w.
22
Let n be (-45657)/(-1008) - (-2)/8. Let t = 300/7 - n. Find the common denominator of t and 39/5.
80
Find the common denominator of ((-275)/(-20) - 5)/(6/(-16)) and 30.
3
Suppose 5*w - c = 3*c + 49, -5*w - 3*c = -42. What is the least common multiple of w and -2 + (-7)/(28/(-32))?
18
Suppose 7*o - 1 - 27 = 0. Let u be -7*((-136)/(-28) - o). What is the common denominator of (-34)/u*1*4 and -31/16?
48
Let h = -2843/9 + 318. Find the common denominator of h and (-8)/(-18)*(-105)/2.
9
Let b(j) = -51*j**3 + 2*j**2 - 3*j + 2. Let s be b(1). What is the common denominator of (305/s - -2) + 4 and 17/2?
10
Let z(h) = 2*h**3 + h**2 - 3*h + 6. Let x be z(-5). Suppose 4*i = 16, 2*b - 5 = -2*i + 7. What is the common denominator of x/(-128)*-2 - b and 83/10?
80
Suppose -27*v + 95 + 67 = 0. Calculate the lowest common multiple of v and 42.
42
Let i(c) = 23*c - 3*c**2 + 5*c**2 - 26*c - 17. Let l(r) = r**2 - r. What is the least common multiple of l(5) and i(5)?
180
Let r(m) be the third derivative of m**4/24 + 6*m**3 + 8*m**2. Calculate the least common multiple of 26 and r(-16).
260
Calculate the common denominator of 926/(-84) - (250/35 - 8) and 4/5*49/(-4).
30
Let l = 18401597/12 + -1536635. Let d = -3172 - l. Find the common denominator of 37/44 and d.
132
Calculate the lowest common multiple of 72/(-684) + 477/19 and 35.
175
Let b = -529 + 11651/22. Find the common denominator of -31/77 and b.
154
Let n = 4953/10 + -496. Find the common denominator of n and -74/9.
90
Suppose -y - 4 + 44 = 0. Let u be (-52)/(-14) - (-20)/70. Suppose u*v + 28 = -2*c + 68, -y = -2*c + v. Calculate the smallest common multiple of c and 10.
20
Let d = -1641 + 1654. Calculate the least common multiple of 130 and d.
130
Let d be (-1786)/(-18) + 8/(-36). Calculate the common denominator of d/(40/(-6)*3) and 12/30 - (-942)/20.
20
Suppose i - 3 = 1. Suppose 3*v = -0*d - i*d + 36, 5*d = -2*v + 38. Calculate the lowest common multiple of 2 and d.
6
Let x = 163803/4 + -40649. Let v = 306 - x. Let m(n) = 30*n. What is the common denominator of v and m(-1)?
4
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