3*c + 84 = w*d + 6*c, d = 3*c + 6. What is the least common multiple of d and 26?
234
Let m = 3107/630 + 61/63. Let u(j) = -3*j - 44. Let r be u(-16). What is the common denominator of m and -1 - (119/(-6) - r)?
30
Suppose -4*m + 1 + 23 = 0. Let q(b) = b**3 + 2*b**2 - 3*b + 3. What is the smallest common multiple of q(-3) and m?
6
Suppose -18 + 4 = 2*z. What is the common denominator of 8/z*(-7)/14 and 8/(-12) + (-151)/(-6)?
14
Let m = -261/2 + 8117/62. Find the common denominator of m and 37/15.
465
What is the lowest common multiple of 316 and (-8)/(-6)*(-3)/(1 + -2)?
316
Find the common denominator of ((-3)/(18/(-4)))/((-17)/1224) and -37/9.
9
Let f = 1724 - 1225. Suppose f = 5*s - c, 2*s + 3*s - 501 = -c. Suppose 15*t - 20*t + s = 0. What is the least common multiple of 20 and t?
20
Let b be (6742/(-5))/(8/(-40)). Let h = 67329/10 - b. What is the common denominator of h and -41/11?
110
Let t(h) = -h**3 - 6*h**2 - 3*h + 3. Let x be ((-54)/(-12))/((-6)/8). Let s be t(x). Find the common denominator of -47 and (28/(-30))/(4/s).
10
Suppose 0 = 2*b + 6*a - 10*a - 30, -4*a = -4*b + 48. What is the smallest common multiple of 27 and b?
27
Suppose 0 = -6*a + 10*a + 132. Let t = a + 37. Suppose 4*q - 304 = -4*x, q - 2*q = t*x - 316. Calculate the lowest common multiple of x and 4.
80
Suppose 0 = -32*f + 37 + 17 + 10. Let v = 14 + 2. Let m = -4 + v. Calculate the lowest common multiple of f and m.
12
Let v = 38 - 36. Suppose -v*o = -3*k - 18, -26 = o - 5*o + k. Calculate the smallest common multiple of o and 3.
6
Let z = -27386 + 601971/22. Let l = 156/11 + z. Find the common denominator of l and 44.
2
Let l = 231567 - 919425/4. Let a = l + -1721. Find the common denominator of -59/3 and a.
12
Suppose 5*j = 4*g + g - 140, 3*j + 12 = 0. Let y = 55/13 + 131/52. Calculate the common denominator of ((-207)/3)/(g/3) and y.
8
Suppose 1 = 2*c + 5. Find the common denominator of ((-26)/(-48) + 4)*c and -11/16.
48
Calculate the common denominator of -97/20 and ((-51)/(-16))/(6/((-48)/(-62))).
620
Let p(c) = 15*c**3 + c**2 - 2*c + 2. Let h be p(1). Calculate the smallest common multiple of 3 + (-1)/((-4)/h) and 1.
7
Suppose 0 = -o + 8 + 3. Calculate the lowest common multiple of 4/(0 + 2/o) and 212/15 - (-26)/(-195).
154
Suppose 71*p - 74 = 43*p + 150. Suppose -26 = -2*c + 3*v, 4*v - 1 = 5*c - 73. What is the smallest common multiple of p and c?
16
Let p = -23051 + 2627789/114. What is the common denominator of p and 13/114?
114
Let l = 18263/4 + -4590. Suppose -3*z + 360 = 2*z. Find the common denominator of 12/54 - 79/z and l.
8
What is the smallest common multiple of ((-300)/(-40))/(2/4) and 35?
105
Let n = -23 + 43. Let q = -353/85 - -23/17. Find the common denominator of q and (88/4)/(n/(-6)).
5
Let f = 1171117/232122 + 2/10551. Let b be 163018*1/20 - -2. Let j = -8143 + b. What is the common denominator of j and f?
110
Let z = 4573/22 - 208. What is the common denominator of z and -11 + 6 + (-21)/56?
88
Let p = -14 + 20. Let t = 19 + -9. Calculate the smallest common multiple of (p/(-7))/(2/(-14)) and t.
30
Suppose -p = -2*z - 5 - 5, -3*z - 22 = -5*p. Calculate the smallest common multiple of p and 43.
86
Let t be 1*(24/58852)/(-3). Let x = -1221223/323686 - t. Find the common denominator of x and 61/12.
132
Let u = -45344/6921 - 3/769. Find the common denominator of u and ((-372)/32)/(-3)*-3.
72
Let k = 119981/3 + -38951. Let f = -1018 + k. Find the common denominator of f and 4 + (-4 - (-28)/20).
15
Suppose 2*n + 2 - 14 = 0. Let k = n + 4. Calculate the least common multiple of k and (1 - 0)*(10 + 1).
110
Let j(u) = -4 - 3*u**2 + 2*u**2 + 1 + 0 + 4*u. Let r be j(6). What is the common denominator of 49/20 and 491/(-84) + r/(-35)?
60
Suppose 0 = -55*t + 54*t + 6. Calculate the smallest common multiple of t and 7086.
7086
Let d(z) = -18*z + 3*z**2 + 5 + 22*z - 2*z**2. What is the smallest common multiple of d(-5) and 8?
40
Let d = -40 - -38. What is the common denominator of (-28)/(-5) + (d + 2)/7 and (-4)/(-14) - (-1122)/140?
10
Suppose -9*q = -17*q + 8. Let m = 25 - 22. Calculate the least common multiple of m and q.
3
Let h be 2/(-3)*(5 - 8). Let i(m) = h*m**2 - 23 - m + 15 + 7. What is the least common multiple of i(-1) and 16?
16
Let f(v) = v**2 + v - 313. What is the least common multiple of 1 and f(-19)?
29
Let t(c) = c**3 + 5*c**2 + 6. Suppose 3*k - 8 = 4*k. Let q = k - -3. What is the smallest common multiple of t(q) and 18?
18
Let f = 682091/246480 + 18/5135. What is the common denominator of f and -99/40?
240
Let g be 24 + -1 - 12/(-4). Let k = g - 6. Let h(x) = x**3 - 9*x**2 + 12*x - 10. What is the smallest common multiple of h(8) and k?
220
Let d be -1*(1 + 2) - -6. Let n(o) = 7*o**2 + o + 1. What is the smallest common multiple of n(-1) and ((-6)/8)/(d/(-20))?
35
Let v be (-208)/(-78)*1/(6410/6723). Let b = 2/641 + v. Calculate the common denominator of (-219)/27 + 2*1 and b.
45
Let k be 1 + 0 + -4 + 1 + 0. What is the common denominator of (-115)/(-180)*10 + k and -41/70?
630
Suppose -13*z = -79*z - 2112. What is the common denominator of z and -47/4?
4
Let s = 17227/6 + -2894. Calculate the common denominator of s and 20/39.
78
Let q = 3358287/7294 - -415/521. Let h = -461 + q. Let d = -345 + 34501/100. Calculate the common denominator of h and d.
700
What is the smallest common multiple of 45 and (-9 - 24/(-6))*-7?
315
Let u(v) = -8*v**2 + 2*v + 3. Let l be u(3). Find the common denominator of (12/(-16))/((-33)/1001) and (312/l)/(6/(-9)).
28
Let h = -210 + 4450. Let z = h + -25495/6. Find the common denominator of z and -81/14.
42
Let c = 48 + -47. Let d(m) = 81*m**3 + m**2 - m - 1. Calculate the smallest common multiple of 2 and d(c).
80
Suppose r + 10 + 15 = -3*j, -5*r + 15 = j. What is the least common multiple of (5 + -9)*j/4 and 6/((-3)/(-18)*4)?
90
Let u(g) be the third derivative of 0 + 4*g**2 + 0*g + 2/3*g**3 - 1/8*g**4 - 1/60*g**5. Calculate the least common multiple of u(-3) and 2.
4
Let x = 105391 - 206063/2. Let o = x - 2408. What is the common denominator of o and -14/11?
22
Suppose 11*g - 6*g = 0. Suppose g = 4*w - b - 9, -3*w + 14 = 2*w - 4*b. What is the least common multiple of 6 and w?
6
Let p be ((-1519310)/246320)/((-202)/(-12)). Let y = 1/12316 + p. What is the common denominator of y and 83/8?
808
Let u be 6*(4/(-8) + -1). Suppose 2*a = -2*a + 2*q + 30, -3*q = -a + 20. What is the smallest common multiple of u/(-36)*56/2 and a?
35
Let l(p) = p**2 - 22*p + 3. Let k be l(24). Calculate the common denominator of 4 - 4 - k/(-9) and -71/45.
45
Let t = -5 + 13. Suppose -15 = -w - 3*l, -3*l - 2*l + 60 = 4*w. Let o = -12 + w. Calculate the smallest common multiple of t and o.
24
Let c = -21942/5 + 51386/15. Let u = 974 + c. Find the common denominator of u and -51/25.
75
Let o be (36/8)/((-2)/(-4)). Calculate the common denominator of o/(-10) + ((-12)/(-30) - 1) and -47/34.
34
Find the common denominator of 77/8 and 366/(-116) + -6*4/(-6).
232
Let y = -2410 - -7156/3. Calculate the common denominator of y and ((-476)/(-306))/(10/9).
15
Calculate the smallest common multiple of (12/36)/(3/594) and 84.
924
Let c(v) = 17*v**3 + 4*v + 5. Let a(f) = 17*f**3 + 3*f + 4. Let x(d) = -3*a(d) + 2*c(d). Calculate the smallest common multiple of x(-1) and 12.
48
Suppose 2*w - 2*v + 34 = 0, -3*w + 0*v + v - 45 = 0. Let z = 22 + w. Calculate the common denominator of -37/14 and 102/z*(-15)/27.
84
Let b = -8 + 8. Suppose 5*p + 980 = p. What is the common denominator of (p/100)/(2/(-5)) and b?
8
Suppose 0*m = 14*m - 140. What is the least common multiple of 1 and m?
10
Let s = 3 + 5. Suppose s*d + 3 = 5*d. Calculate the common denominator of -31/2 and (d/(-6))/(8/568).
6
Let a = 486182/130053 + -3/12386. Find the common denominator of -155/42 and a.
42
Suppose 11*f + 48 = 9*f. Let x = f + 26. Calculate the smallest common multiple of 6 and x.
6
Suppose -f = -2*f - 5, -85 = -2*c + 3*f. What is the common denominator of (-214)/84 - (4 + (-130)/c) and -97/24?
24
Let t(j) = -31*j - 3. Let k be t(-1). Suppose -4*q - k + 40 = 0. What is the smallest common multiple of q and 9?
9
Let n(t) be the first derivative of 2*t**3/3 + 2*t**2 + 4*t + 57. Suppose 0 = x - 5*x - 12. Calculate the least common multiple of n(x) and 3.
30
Suppose 21 = 5*j