k**2 + 7*k - 24. What is the least common multiple of 51 and p(5)?
612
Suppose o + 3*q + 129 = 0, 394 = -3*o - 4*q + 2*q. Let x be (4/138)/(o/12411). Let u = -25/46 - x. What is the common denominator of 46/11 and u?
11
Let f = -14 - -24. Calculate the smallest common multiple of f and 4/66*-3 + (-68)/(-11).
30
Let z = -554353/30 - -18476. Calculate the common denominator of 31/21 and z.
210
Calculate the common denominator of (14/30)/((-69)/184) and 113/12.
180
Suppose 36 = 4*c + 100. Let t = c + 25. Let g = -7 + 13. Calculate the lowest common multiple of g and t.
18
Suppose 4*r + 4*j - 27 = 5*j, -3*j = -3*r + 18. Let w = -4 - -11. What is the smallest common multiple of w and r?
7
Suppose -2*j - 9 + 93 = 0. Let v be (76/8 - -1)*-4. What is the common denominator of 69/10 and 12/j - 149/v?
30
Let v(k) = -k**3 + 2*k**2 - 2*k + 1. Let x be v(-7). Let c = x + -1400/3. Calculate the common denominator of c and -85/4.
12
Let c be (-2)/((-51)/18 + 3). Find the common denominator of -47/7 and ((-1)/c)/((-33)/(-704)).
63
Suppose 4*w + g = 60, w - 18 - 18 = 5*g. Let q = -25 + -12. Let o = 53 + q. What is the smallest common multiple of o and w?
16
Suppose 0 = -2*r - r + 9. What is the common denominator of 4/(-6) - (-334)/(-84) and 1/r + (-1052)/(-48)?
28
Let b(v) = v**2 - 10*v. Let u be b(10). Let m be 2 - ((-1)/1 - u). Find the common denominator of 610/(-132) - m/9 and -77/8.
88
Suppose -x + 9 - 1 = 0. What is the least common multiple of 8 and x?
8
Let j(u) = u**2 + u - 2. Suppose m + 3*m - 8 = 0. Let o(q) = 3*q**2 - 2*q + 1. Calculate the smallest common multiple of o(m) and j(-3).
36
Calculate the lowest common multiple of 2/9 - (-534)/27 and 8.
40
Let a = -8 - -10. Let l(m) = 22*m**3 + 3*m - 1. Let v be l(a). Let c = 2047/12 - v. What is the common denominator of c and 53/10?
60
Let q = 5 - -5. Let j(z) = -z**2 + 15*z - 1. Let m be j(6). Let u = m + -33. What is the smallest common multiple of q and u?
20
Suppose -4*c = -2*z - 2*c - 10, 2*c - 20 = 3*z. Let l = 395 - 29. What is the common denominator of -81/10 and (z/75)/((-8)/l)?
10
Suppose 3*u + 13 + 15 = 2*a, 5*u + 5*a = -55. Let o = 12 - 2. Calculate the lowest common multiple of o and ((-24)/u)/((-6)/(-15)).
30
What is the lowest common multiple of 5/((-4)/(-6) + (-10)/24) and 20?
20
Let n be (6 - 21)*(-466)/6. What is the common denominator of -51/5 and n/225 + 4/18?
5
Let n(p) = -p + 4. Let x(o) = 2*o - 4. Suppose -12 = 3*w + 9. Let q(r) = w*n(r) - 6*x(r). What is the smallest common multiple of q(-4) and 2?
16
Calculate the common denominator of 119/24 and 68/(-21) - 1*(-3 + 0).
168
Let c = 73 - 52. Let b = 6 + -3. Calculate the common denominator of c and ((-1)/6)/(b/321).
6
Let v be (1 - -1)/(2840/(-6)). Let y = -96506112 - -274077368387/2840. Let h = v + y. What is the common denominator of h and -5/9?
72
Let f be (-2 - -3)/(2/12). Let d(i) = -i**3 + 6*i**2 + 6. Suppose 5*v = v + 2*j + 64, j - 76 = -4*v. What is the lowest common multiple of d(f) and v?
18
What is the common denominator of 6/(-4) - (-85)/4 and 95/4?
4
Let i be 75/4 - 2/(-8). Let l = i - 9. What is the least common multiple of 4/10 - (-136)/10 and l?
70
Let w(q) = -q**2 - q + 7. Suppose -4*z + 12 = -4*p, z - 18 = -4*p + 10. What is the smallest common multiple of w(0) and z?
56
What is the least common multiple of 8 and (72/60)/(2/20)?
24
Let h(o) = o**3 + 3*o**2 + 7. What is the smallest common multiple of 10 and h(-3)?
70
Let d(j) = 4*j**2 + j - 2. Let x = 11 - 4. Let m = x + -5. Calculate the least common multiple of 12 and d(m).
48
Let j = -15 - -21. Suppose -14 = -4*x + 2. What is the smallest common multiple of x and j?
12
Let g = -7174 + 57481/8. Let i = -265 + 2571/10. Calculate the common denominator of i and g.
40
Let w(y) = y**3 - y. Let k be w(0). Suppose 10 = 3*u - m, -5*u + m + 10 + 4 = k. Suppose u = d - 0. Calculate the least common multiple of d and 6.
6
Let c = -7051/6 + 1185. Find the common denominator of 4/10 - (-3)/(-10) and c.
30
Let o(g) = 0 - 7*g**2 + 2 + 5*g**2 - g**3 - 4*g - 1. What is the lowest common multiple of 18 and o(-3)?
198
Let h be 35/9737*(-2)/5. Let f = 132157/8346 + h. What is the common denominator of f and -113/6?
6
Let o = 18784/3381 + -2/10143. Let w = 130/27 + -998/297. What is the common denominator of w and o?
99
Let b = -1857/10 - -183. Find the common denominator of 58/(-8) + -1 + -2 and b.
20
Let z = -47 - -63. Let g be 4/6 - 206/(-6). Suppose 0 = 5*t - 6*j + j - 65, -2*t - j + g = 0. Calculate the lowest common multiple of t and z.
16
Let p be ((-3)/(-1077))/(22/12). Let h = p + 438279/39490. What is the common denominator of -37/10 and h?
10
Find the common denominator of ((-2)/(-3))/(56/(-486)) and -93/4.
28
Let v(f) = f + 18. Let y = -50 - -34. Let g = y + 8. What is the least common multiple of 6 and v(g)?
30
Let w(z) = 5*z - 1. Let v be w(1). Let h be (0 - (2 + -1)) + v. Suppose s - 5*u = 7, 0*s - 5 = -s + h*u. Calculate the least common multiple of 20 and s.
20
Let c = 7466/3 + -149071/60. What is the common denominator of -85/8 and c?
40
Let y = -16049/19 - -370547/152. Let r = -1600 + y. Calculate the common denominator of r and -79/22.
88
Suppose 3*v = 1 + 5. Suppose -v*c + 12 = 4*b, -5 = -2*c - 2*b + 5*b. Suppose 2*r = 28 - 8. Calculate the least common multiple of c and r.
20
Let p(i) = i**2 + 9*i. Let l(w) = w + 1. Let g(o) = -4*l(o) + p(o). Let a be g(-5). What is the smallest common multiple of 4 and (-16)/(-6)*(-6)/a?
4
Let x = -10 - -16. Calculate the common denominator of 289/(-12) + 2/x and (8/5)/(42/135).
28
Let a = 1140 - 6857/6. What is the common denominator of -43/14 and a?
42
Suppose -4*n = -3*j - 60, -n + 5*j = n - 44. What is the lowest common multiple of n and 10?
60
Let t = -102 - -108. Let q = 8 + 0. What is the smallest common multiple of t and q?
24
What is the lowest common multiple of (-20)/35 - (-180)/21 and 6?
24
Suppose -9 = 4*c + 3. What is the smallest common multiple of (-24)/9*(0 + c) and 6?
24
Let i(q) = 2*q**2 + q. Let j be i(-1). Let h be 3/(2*j/(-8)). What is the common denominator of -11/18 and 51/(-7)*(-2)/h?
126
Let g = -68 + 106. What is the least common multiple of g and 1?
38
Let z(w) = -w + 21. Suppose -33 = -3*l - 0. What is the lowest common multiple of z(10) and l?
11
Let h = -54/13 - 116/91. Calculate the common denominator of h and 10/3.
21
Suppose f - 3*m - 41 = 24, -5*f + m = -311. What is the least common multiple of (-9)/63 - 15/(-7) and f?
62
Suppose -5 = 5*w + r - 60, -4*r - 22 = -2*w. Calculate the common denominator of w/3*(-21)/(-112) and -13/6.
48
Let b(j) = -8*j**3 - 16*j**2 - 2*j - 32. Let o(z) = 3*z**3 + 5*z**2 + z + 11. Let q(n) = 4*b(n) + 11*o(n). What is the lowest common multiple of q(9) and 6?
60
Let m = 631/3 + -1363/6. What is the common denominator of m and 13/2?
6
Find the common denominator of 83/4 and 4/7 + ((-245)/28)/7.
28
Let h = 446 - 25867/58. Let f = -61/174 + h. What is the common denominator of -39 and f?
3
Let h = 13288088940541/4445 + -2989446285. Let b = h - 1598/35. Let p = 6421/1143 - b. Calculate the common denominator of p and -31/7.
63
Let p = -4037/8 + 499. Calculate the common denominator of p and -40.
8
Calculate the smallest common multiple of 21 and (-8)/14 + ((-558)/(-21) - 2).
168
Let a = -70731/12040 - 1/3010. Let d = 3313 + -43118/13. Calculate the common denominator of d and a.
104
Suppose r + 4 = -r. Let d be (-80185)/15*r/(-7). Let p = -1541 - d. Calculate the common denominator of p and 33.
3
Let m(a) = a**2 - 10*a - 10. Let j(x) = -x + 14. Calculate the smallest common multiple of m(12) and j(6).
56
Suppose -15 = 2*m - 7*m. Calculate the common denominator of 3/2 and 11*(m + 62/(-20)).
10
Let c = 4077/35 + -571/5. What is the common denominator of c and (-6)/(-4)*44/20?
70
Let u = -789 - -409. Suppose i + 3 - 15 = 0. What is the common denominator of ((-2)/i)/(15/u) and 59/2?
18
Let v(f) = 8*f**3 - 2*f**2 - 3*f + 5. Calculate the smallest common multiple of 25 and v(2).
275
Let r be 2 + 0 - 906/465. Let l = r + -15361/310. Find the common denominator of -54/5 and l.
10
Let j be ((-3)/24)/(12/407344). Let m = j + 4230. Find the common denominator of m and -101/20.
60
Let q(r) = r - 5. Let o be q(4). Let n be (-8)/(-3) + o/(-3). Calculate the common denomi