 2. Let z be p(-1). Suppose -3*h + z = -2*h. What is the least common multiple of 6 and h?
30
Let k be (12 + -2)*4/10. Let g = 1 + k. What is the smallest common multiple of g and 12?
60
Let p be (-202)/(-3488) + 11/(-44). Let v = p + 1/218. Let o = 157017/20 - 7846. Find the common denominator of v and o.
80
Let d = -547 + 4395/8. Calculate the common denominator of 15 + -11 + (-78)/(-4) and d.
8
Suppose -d - 2*d + 5*w = -3, -5*d = -5*w - 15. Let b(n) = 2*n - 3. What is the smallest common multiple of d and b(5)?
42
Suppose 3*s + s - 84 = 4*n, 5*n = -5. What is the smallest common multiple of s and 104?
520
Let m = 2/10853 - -1334899/108530. What is the common denominator of m and -19/12?
60
Suppose -3*q = -7*q - 16, 5*m = 2*q + 48. Calculate the smallest common multiple of m and 3.
24
What is the smallest common multiple of (-25)/(-3) + 13/(-39) and 20?
40
Let n(u) = -3*u. Let i be n(-1). Suppose -2*g + 5 = 3*y + 2*y, 34 = i*y - 5*g. Suppose 2*j - y*j = -1. Calculate the smallest common multiple of 3 and j.
3
Let l = 7 + -6. Calculate the least common multiple of 10 and (-7 - -23)*l/2.
40
Let j(f) = 5*f - 1. Let z be j(1). Let k be z/(-16) - 12169/28. Let i = -434 - k. Calculate the common denominator of -7/5 and i.
35
Let s = 2/14833 + -1616809/88998. Calculate the common denominator of -16/21 and s.
42
Let w = -6326/7 + 901. Calculate the common denominator of 15/11 and w.
77
Suppose 5*g = -f - 10, 0*f + g = -3*f + 12. Let j be f*(-1)/1*-5. Let s = j - 18. Calculate the least common multiple of s and 10.
70
Let v = -4 - -7. Let l be -3 + (-1 - 1)*-1. Calculate the least common multiple of v and 3 - (l - 2)*2.
9
Let l = 818 + -3239/4. What is the common denominator of (-1)/(-4) - (-17)/(-2) and l?
4
Suppose 0 = -5*w + 60 + 10. What is the smallest common multiple of w and 20?
140
Suppose 5*o = 4*o + 14412. Let y = 201657/14 - o. What is the common denominator of y and -3/20?
140
Suppose 2*q - 4*q = 18. Let h = 25 + q. What is the lowest common multiple of h and 10?
80
What is the common denominator of -5/4 and (-4)/10 - 1437/(-180)?
12
Suppose 0 = 7*c - 3*c + 2*n - 78, 0 = 3*c - 4*n - 64. Calculate the lowest common multiple of 14 and c.
140
Let p = -2/37331451273 + 202734668736034/12869308528792563. Let x = p - 2/8017. Let g = 273/43 - x. What is the common denominator of 10/7 and g?
21
Suppose 3*j = 3*f + 12, -2*j + 1 = -5*f + 5. What is the lowest common multiple of 120 and j?
120
Let j = -1847/116 + -82/29. Find the common denominator of -63/62 and j.
124
Suppose 24 = r + 4. What is the lowest common multiple of r and 9?
180
Let q = 3 - -5. Calculate the lowest common multiple of 8 and q.
8
Suppose -42 = -5*s + 4*h, 4*s - 48 = -4*h - 0. Calculate the lowest common multiple of 8 and s.
40
Let f = -88/23 - -1423/414. Calculate the common denominator of (-2)/7 + (-1135)/(-420) and f.
36
Suppose 3*b - 5*w - 12 = 0, -w - 12 = -3*b - 3*w. Suppose b*g = -0*g - 20, 3*g = -3*a - 24. What is the common denominator of (-20)/a*6/(-22) and -13/9?
99
Calculate the smallest common multiple of (-3)/((-11)/8 - -1) and 22.
88
Let a(i) = -15*i - 5. Let r be a(-7). Let w = -94753/12 - -7902. What is the common denominator of w and (30/r)/(6/(-142))?
60
Let i = -11 - 1. Let h be (i/(-10))/(1/45). Find the common denominator of 47/6 and (-2)/(-6) + h/(-4).
6
Suppose 24 - 4 = -5*r. Let j = -1221/7 + 168. Calculate the common denominator of j and 2 + r + (-68)/18.
63
Let j = -11 - -5. Suppose -8*w = -6*w + 138. Calculate the common denominator of (w/60)/(j/(-15)) and -53/2.
8
Suppose 3*l = -2*h + 19, l = 2*l - 5. Let q = 0 + -3. Let k(x) = x**3 + 5*x**2 + 3*x + 2. What is the least common multiple of k(q) and h?
22
Let l be (0 - (-1 - -4)) + 0. What is the common denominator of 17*(-3)/(-54) + l and 3/(-16)*365/15?
144
Let j be (-6)/(-4)*(-100)/15. Let u(o) = o**2 + 9*o + 1. What is the smallest common multiple of 10 and u(j)?
110
What is the common denominator of -41/38 and (118/4)/(36/(-24))?
114
Let i = -573/3020 - -6/151. Let d = -11531 - -253631/22. Find the common denominator of d and i.
220
Suppose 5*b + 5*t = 85, -2*b - 5 + 30 = 5*t. Suppose m - 10 = -0*m. Calculate the lowest common multiple of 96/m - (-8)/b and 10.
10
Let k be 28/16 - (-1)/4. Calculate the lowest common multiple of 20 and (-8)/(-2) + k*-1.
20
Let r(o) = o**2 - 10*o + 3. Let g(f) = 1. Let y(w) = -2*g(w) - r(w). What is the least common multiple of y(8) and (-140)/105*((-6)/2 + 0)?
44
Let t = 7451/6 - 1239. What is the common denominator of -91/16 and t?
48
Let m = 55/49 + 718/539. Suppose 4*o - 19 = 13. Find the common denominator of m and (-42)/5*(-2)/o.
110
Let s = 1 + 0. Let j = s + 13. What is the least common multiple of j and (-1)/(-1 + 9/10)?
70
Suppose 107 - 35 = 4*u. Suppose 3*a = 42 + 24. Calculate the least common multiple of a and u.
198
Suppose -28 - 62 = -5*b. Calculate the least common multiple of b and 3*-6*(-7)/63.
18
Suppose -348 = -5*a + 3*p, 0 = 2*p - 7*p + 20. Calculate the smallest common multiple of 44 and a.
792
Let l be (-6)/(-21) + 14031868/(-69519842). Let q = -4/20777 + l. Let s = q + 4600/2151. What is the common denominator of s and -97/6?
18
Suppose -3*s + 4 - 1 = 0. Let q(w) = w**3 + 3*w**2 + 2*w + 6. Let v be q(-4). Find the common denominator of -89/10 and v*((-13)/(-4) - s).
10
Suppose 38 + 12 = 5*g. Calculate the smallest common multiple of g and 8.
40
Let r be (-7)/(28/(-16)) + -16. Calculate the common denominator of (-1035)/(-24)*r/(-27) and 63/10.
30
Suppose 18*p = 13*p + 20. Calculate the lowest common multiple of p and (1 - (0 - -1)) + 16.
16
Let a(w) = -w**3 + 9*w**2 + 4. What is the lowest common multiple of 18 and a(9)?
36
Find the common denominator of -25/12 and (42/16)/(99/42 + -3).
12
Let o(v) = -3 + 4*v**2 - 2*v - v**2 - 2*v**2 + 4*v. Calculate the lowest common multiple of 9 and o(2).
45
Suppose 6*w - w + b + 42 = 0, -34 = 5*w - 3*b. Calculate the lowest common multiple of 13/(0 + (-4)/w) and 6.
78
Find the common denominator of 73/12 and ((-29)/15)/1*33/(-44).
60
Let p be (-21)/28 - 83/(-4). Calculate the least common multiple of 14 and (-2)/((-2)/p*1).
140
Suppose -7*b = -3*b - 328. What is the common denominator of (b/(-6))/((-60)/54) and -91/4?
20
Let s = 17611/4 + -4379. Let y be (140522/15)/((-4)/(-3)). Let v = -7014 + y. Find the common denominator of s and v.
20
Let m be 5/3 + (-1)/(-3). Suppose -m*j - 97 = -25. Calculate the common denominator of -23/11 and j.
11
Suppose 0 = -11*y + 17 + 5. Calculate the lowest common multiple of y and 30.
30
Calculate the common denominator of (-14)/(-5)*(-60)/54 and 2*-1 + (-405)/10.
18
Let c(d) = d**3 + 9*d**2 + 9*d + 11. Let f be c(-8). Let q(j) = 4*j + j**3 + 5 - f*j - 1 - 6*j**2. What is the lowest common multiple of 10 and q(6)?
10
Suppose 3*k - 5*p = 7, -3*k + 0*k - 13 = -p. What is the lowest common multiple of 3 and (-8)/12*9/k?
3
Let y be (-1474)/(-5) - 0/1. Let q = 6557/15 - y. Let b = -3473/24 + q. Calculate the common denominator of b and -25/8.
8
Let b be (-2)/7 - 164/14. Let i = b + 42. Let t = i - 16. Calculate the least common multiple of 18 and t.
126
What is the least common multiple of ((-4)/(-12))/(5/150) and 12?
60
Suppose 2*l - 3 = 1. Calculate the lowest common multiple of l and 1.
2
Let z = -17335/8 + 2155. Calculate the common denominator of 45/8 and z.
8
Let q = 171 + -285/2. What is the common denominator of q and -51/8?
8
Let g(q) = 2*q - 2. Let y(n) be the second derivative of -n**3/6 + n**2/2 + n. Calculate the smallest common multiple of y(-6) and g(3).
28
Let s(k) = -16*k**3 + 2*k**2 - 2*k + 1. Let v be s(1). Let l = -8 - v. Calculate the least common multiple of 5 and l.
35
Let z(y) = y**3 - 15*y**2 + 2*y - 14. Suppose 0*k - 6 = -k. Calculate the smallest common multiple of k and z(15).
48
Let y = -15647/1455 - -161/15. Let u = y + -1839/194. Find the common denominator of u and -15/22.
22
Suppose 2*l - 44 = -5*z, -5*z + 66 = 3*l - 10*z. What is the lowest common multiple of l and 32?
352
Let v(k) = -k**2 - 4*k + 12. What is the least common multiple of 28 and v(0)?
84
Suppose a - 2*x + 25 = 4*a, -a = 4*x - 5. Calculate the least common multiple of a and 8.
72
What is the lowest common multiple of 10 and (24/(-16))/(6/(-20))?
10
Suppose -y + 9 = -0*y. L