 the least common multiple of 7 and (j + -1)/(2/8)?
28
Suppose 6*u + 4*u = 80. Calculate the lowest common multiple of 21 and u.
168
Let j(m) = -13*m**2 - 4*m + 4. Let v(c) = -c**2 - c + 1. Let a(y) = -j(y) + 3*v(y). Calculate the smallest common multiple of 5 and a(1).
10
Let f(y) = y**2 + 3*y + 7. What is the least common multiple of 11 and f(-3)?
77
Let l(o) = -o**2 + 6*o - 2. Suppose 0 = 3*r - 6, -10 = -4*w + 6*r - 3*r. What is the smallest common multiple of 8 and l(w)?
24
Suppose d - 5*m - 128 = -2*d, 0 = 5*d + 4*m - 164. What is the lowest common multiple of d and 18?
36
Let d be (2 + 45852/(-22930))*5. Let m = d - 208695/18344. What is the common denominator of m and -33?
8
Suppose -111 = 12*f - 9*f. Let x = f + 55. What is the smallest common multiple of x and 12?
36
Suppose 3*l - 9 = -2*l + 2*w, 3*l + 4*w - 21 = 0. What is the smallest common multiple of l and 10?
30
Let g(v) = 2*v - 1. Calculate the smallest common multiple of g(4) and 13 + -2 + 2/(-2).
70
Suppose 4*r - 6 - 34 = 0. Let c(b) = -b + 1. What is the lowest common multiple of r and c(-3)?
20
Let p = 1453/670 - 18/67. What is the common denominator of -31/6 and p?
30
Let z(c) = -5*c**2 + 7*c + 17. Let r(b) = 2*b**2 - 3*b - 8. Let s(x) = -9*r(x) - 4*z(x). Find the common denominator of s(3) and 43/8.
8
Let x = 2 - -3. Find the common denominator of 27 and 12/x - 10/5.
5
What is the common denominator of -26/3 and 1 - -2 - 5/((-600)/(-332))?
30
Let q(z) = -5*z - 8. Let c(v) = -v**3 + 5*v**2 - 5*v - 2. Let k be c(4). Calculate the lowest common multiple of q(k) and (3/1)/(3/22).
22
Let l(m) = -m + 10. Suppose 2*v = -2*o + 18, 15 = -6*o + 3*o. What is the smallest common multiple of v and l(4)?
42
Let r = 3 - 1. Let a(v) = -29*v**2 - v. Let u be a(-1). Calculate the common denominator of -21/11 and u/6 - (r - 0).
33
Let d(z) = -z**3 - z + 2*z**3 - 29 + 16 + 23. What is the smallest common multiple of 18 and d(0)?
90
Suppose 0 = -2*n + 3*n - 6. Let p be (-4)/22 + (-4)/(-22). Suppose -t = 3*q - 17, 2*t - 5*q + 3*q - 10 = p. Calculate the lowest common multiple of t and n.
24
Let a be 2 - (-555)/2 - -1. Let x = -239 + a. What is the common denominator of -37/4 and x?
4
What is the smallest common multiple of (24/9 - 3)*-36 and 8?
24
Let m = -34 - -39. What is the lowest common multiple of m and 23?
115
Let y(z) = -z**3 + 3*z + 3. Let x be y(-2). Suppose 0 = x*p - p - 48. Calculate the least common multiple of p and 8.
24
Let h = 2 - 8. What is the least common multiple of 7 and h/15 - 126/(-15)?
56
Find the common denominator of 31/(-15)*(-6)/8 and ((-363)/(-45))/(8/10).
60
Let a be 7960/(-4025) - (1 - 3). Let v = a + 19123/1610. What is the common denominator of v and 113/18?
90
Calculate the common denominator of -47/12 and 4 + ((-3)/30)/((-45)/(-2330)).
180
Find the common denominator of (-3815)/(-1320) - (-6)/(-33) and 15/8.
24
Let t = -34337/1518 + -54/253. What is the common denominator of t and -1/2?
6
Let n = -9 - -15. What is the least common multiple of (12/7)/(4/42) and n?
18
Let i = 2/1809 + 182705/3618. What is the common denominator of i and -75/2?
2
Let w = 12025/12 - 2947/3. Calculate the common denominator of -12/11 and w.
44
Let x be -2 - (-3)/(-6)*-734. Let u = 2195/6 - x. What is the common denominator of u and -7/2?
6
Suppose -24 - 253 = 3*x - j, -3*x = 3*j + 261. What is the common denominator of x/(-2) - 3/3 and -1 + 9/7 + 38320/(-6720)?
12
Suppose 5*z = -2*j + 56, -3*j = z - 1 - 5. Calculate the lowest common multiple of z and 12.
12
Let w = 26989/4781 - 3/1366. Find the common denominator of w and -109/20.
140
Suppose 0 = w - s + 5, 3*s = -0*w + 5*w + 17. Let d(k) = 3*k. Let l be d(-5). What is the lowest common multiple of ((-40)/l)/(w/(-3)) and 4?
8
Suppose -5*j = -0*j + 4*f - 14, 4 = -f. Suppose -5*h + q = -66, 2*q + 26 = 3*h - 2*q. What is the lowest common multiple of h and j/(-2) + 6 - -9?
84
Let m = -4 - -9. Suppose 0 = -v + 6*v + m. What is the common denominator of 63/4 and (v - (-137)/(-5))/8?
20
Let g(m) = m. Let b(p) = 5*p + 5. Let o(t) = b(t) - 6*g(t). What is the smallest common multiple of o(-7) and 10?
60
Let j = -3 + 5. Suppose 3*v = 6*v - 36. Find the common denominator of 31*3*j/v and 21/2.
2
Calculate the common denominator of -59/44 and 135/4 - (-30)/40.
44
Suppose 4*v - 8 = -5*l + 52, -3*l - 38 = -5*v. What is the smallest common multiple of 6 and v?
30
Let w be (-40)/(-12)*3/2. Calculate the least common multiple of ((-5)/2)/(w/(-20)) and (5 + 6)/(1 + 0).
110
Let c = 21/4 + -251/44. Let b = -55/6 - -6. Calculate the common denominator of c and b.
66
Let h be ((-1)/(-2))/(3/(-18)). Let j(t) = -t**2 + 5. Let w be j(0). Let f = w + h. Calculate the lowest common multiple of f and 16.
16
Suppose 0 = x + 2*x - 9. Suppose -x*g = 4*m - 74, m - 20 = -5*g + 92. Let t(c) = c**2 + 2*c + 7. What is the smallest common multiple of g and t(-5)?
22
Let k = 206 + -94. Calculate the smallest common multiple of 20 and k.
560
What is the smallest common multiple of ((-25)/(-15))/(3/18) and 12?
60
Find the common denominator of 9/10 and (0 - 0) + 824/(-288).
180
Suppose 4*u - 33 - 7 = 0. Find the common denominator of (68/u)/(12/15) and 33/7.
14
Suppose 5*m = -3*j + 23 + 13, -j + 13 = 2*m. What is the least common multiple of j and 5?
35
Let i(o) be the third derivative of 1/12*o**4 + 0*o + 0 - 2*o**2 + 0*o**3. What is the least common multiple of 14 and i(2)?
28
Let i(b) = -b**2 - 7*b - 4. Let y(x) = -4*x - 4. Let m = -9 + 4. What is the lowest common multiple of y(m) and i(-3)?
16
Let g(y) = -y**3 + 6*y**2 + 8*y - 3. Let l be g(7). What is the common denominator of l/2 + 296/16 and (3/(-27))/((-4)/(-282))?
6
Suppose 0 = 2*x + 3*y - 19, 0 = 3*x - 3*y + 2*y - 45. Let t(d) = -15*d**3 + 1. Let l be t(-1). Calculate the lowest common multiple of x and ((-2)/(-4))/(2/l).
28
Let r(f) = 2*f**2 - f + 1. Let x(y) be the second derivative of -y**3/6 + 2*y**2 - 2*y. Let z be x(6). What is the least common multiple of r(z) and 11?
11
Calculate the smallest common multiple of 24 and ((-15)/((-60)/88))/(2/3).
264
Suppose -x = 4*x - 2340. Let v = -31489/84 + -2192/21. Let m = x + v. Find the common denominator of -29/11 and m.
44
Suppose -9*p + 2 = -8*p. Suppose 0 = -k - 4 + 10. Calculate the smallest common multiple of k and p.
6
Let o = 2/21 + 1/210. Find the common denominator of o and (-2)/(-4)*344/32.
40
Let j = 21410303 - 4710277709/220. Let h = 41683 - 459044/11. Let m = h - j. What is the common denominator of -5/8 and m?
40
Let k be (-2)/(-7) + 366/42. Suppose -4*b = -c - 95, -c = -b + 29 - 6. Calculate the common denominator of -53/18 and (-1 + k/b)*-68.
18
Let i = 17/20 + -17/4. Suppose -5*w + 2 - 12 = 0. Calculate the common denominator of w/5*(-148)/(-8) and i.
5
Let n(b) = -b**3 - 10*b**2 - 9*b - 4. Let z be n(-9). Let d be 18/(-30) - z/(-10). Let g = d + 11. What is the least common multiple of g and 20?
20
Let g be ((-8)/6)/(7/21). Let w = g + 6. What is the lowest common multiple of 14 and w?
14
Suppose 2*c + 0*c - 28 = 0. What is the smallest common multiple of 8 and c?
56
Let w be (1170/87)/3 + -4. Let f = -349402458/203 + 1721199. Let j = w - f. What is the common denominator of j and 16?
7
Let k(f) = -f**2 - 12*f - 10. Let y = 12 + -22. Calculate the smallest common multiple of 2 and k(y).
10
Let a be 2 - (-3 + 1143924/80). Let b = 14289 + a. Find the common denominator of 41/12 and b.
60
Let x be (2/6)/(1/9). Calculate the common denominator of 151/6 and (x - (-186)/8) + -2.
12
Suppose -8509 = 4*y - 5*b, 5*b + 6408 = -3*y - 0*b. Let q be ((-4351)/3)/(18/27). Let d = q - y. Calculate the common denominator of -53/2 and d.
2
Let p be (60/(-25))/6*-5. Let u be (2/4)/((-2)/(-28)). Suppose -k + 3*l - u = -2, -p = -l. Calculate the least common multiple of 7 and k.
7
Find the common denominator of 1/70 and (209/(-228))/((-1)/(-9)).
140
What is the common denominator of -83/10 and (-6 + (-64)/(-40))*70/(-8)?
10
Suppose 45 = 5*s - 0*s. Calculate the lowest common multiple of 9 and s.
9
Let g = 1/1903 - -100849/19030. Calculate the common denominator of 87/22 and g.
110
Let i(o) = -o**2 + 10*o - 7. Let n(m) = m**2 - m - 3. Let s be n(4). Let y be i(s). Suppose -2 = -j + y. Calculate the lowest common multiple of 2 and j.
4
Suppose 0 = -6*q + q + 4