0
Let q = 4 + -2. Suppose 0*h + 4*h - 4*m - 16 = 0, 4 = -q*h + 5*m. What is the lowest common multiple of h and 10?
40
Let g(k) = -11*k**2 - 3*k**3 - 6 - 2*k**2 + 4*k**3 + 2*k**2. Let m be g(11). What is the common denominator of -97/2 and m/8*339/(-27)?
12
Suppose 0 = -q - 0*q + 1. Let d = q - -5. What is the lowest common multiple of d and 14?
42
Let j(x) = -x + 7. Let o be j(3). Let n be (-677)/o - (-2)/8. Let m = n - -1091/6. Find the common denominator of -123/10 and m.
30
Suppose -t + r = -5, -r = -5*t - 5*r + 16. Let a = 8 + -5. Suppose 4*s - 41 = -h, -t*h + 2 = s - a*s. Calculate the smallest common multiple of s and 8.
72
Suppose 88 + 50 = 3*j. Let b(i) = i**3 - 7*i**2 + 8*i - 4. What is the lowest common multiple of b(6) and j?
184
What is the common denominator of (11/3)/((-1)/9) and (2 + 4)/((-24)/174)?
2
Suppose -3*x - 102 = -480. Calculate the smallest common multiple of 6 and x/12 + (-1)/2.
30
Calculate the least common multiple of 10 and (-32)/(-24)*(1 + 14).
20
Find the common denominator of 8 and (-2)/5 - 0 - 4.
5
Let r = -21069/7 - -41933/14. Let z = r - 6/7. Let s(a) = -2*a**2 + 3*a - 1. Calculate the common denominator of s(3) and z.
2
Let m(s) = 5*s**2 + s. Let k be m(-1). Let j(i) = 0 - 6 + 2 + 2*i. What is the lowest common multiple of 6 and j(k)?
12
Let l = -7 + 11. Suppose 23 = 5*q - 3*w + 5, l*w - 11 = -5*q. Suppose 3*a - 12 = -3*j - 0, -q = 3*j. What is the lowest common multiple of a and 3?
15
Let t = -5 + 15. What is the lowest common multiple of 48 and t?
240
Suppose p = 5*n - 38, 6 + 6 = 2*n - 2*p. Find the common denominator of (6/(-2))/(n/(-14)) and 3/12*(-168)/(-20).
20
Let s = 19193/21 - 910. What is the common denominator of 107/24 and s?
168
Let o = 5998234 + -1187644987/198. Let p = -3838/165 - o. Let r = p + 447/10. Find the common denominator of r and 17/10.
90
Let f be (-4)/(-10) + (-161)/(-35). Let p(t) = 3*t - 3. Calculate the lowest common multiple of p(f) and 8.
24
Let d = -3047/310 + 686/31. Suppose 7*k - 3*k = -924. Find the common denominator of d and (35/k)/((-4)/18).
110
Suppose 3*b + 2*w = 6*w + 26, -3*b + 5*w = -25. Calculate the least common multiple of 12 and b.
60
Let b be (-6)/(-21) + (-277)/700. Let m = b + 2077/700. Calculate the common denominator of (-6)/(-9) - 167/(-6) and m.
14
Let b = -29/49 - -1787/784. Find the common denominator of b and 81/40.
80
Let n = -10 - -10. Find the common denominator of -37/2 and 282/(-24) + n/(-2).
4
Find the common denominator of ((-6)/(-54))/((-4)/(-564)) and -27/11.
33
Let f(d) = 2*d**2 - 14. What is the least common multiple of 27 and f(4)?
54
Let a(q) = -q + 3*q + 4*q. Let k = -8 + 9. What is the smallest common multiple of a(k) and 2?
6
Suppose -1130 = 4*a + a. Let k = a - -1154/5. What is the common denominator of k and -79/4?
20
Find the common denominator of -53/4 and (-300)/(-32) - -2 - -1.
8
Let l = 19609 + -352861/18. What is the common denominator of l and 59/9?
18
Let i = 11 + -7. Suppose -5*k = 25, 2*w - 7 = 6*k - 9*k. Calculate the smallest common multiple of -2*1/i*-16 and w.
88
Let i(r) be the third derivative of r**5/60 - r**4/8 - 5*r**3/3 - 4*r**2. Suppose 4*c - 50 = 14. Calculate the lowest common multiple of c and i(6).
16
Let a = -485141/6 + 85489. Let p(h) = 286*h**2 - 11*h - 6. Let x be p(-4). Let j = x - a. Find the common denominator of 11/3 and j.
6
Let o = 540 + -8655/16. What is the common denominator of o and 18/(-42) - (-1630)/308?
176
Let w = 4827841/236 + -20457. Let u = w + 8079/1180. Calculate the common denominator of u and -16/9.
45
Calculate the common denominator of 3*3*(-213)/(-162) and 11/9.
18
Let g = -72996/29 + -466499/232. Suppose 1831 = y - 2686. Let w = g + y. What is the common denominator of w and 3/10?
40
Let g = -17 + 1. Let d be ((-60)/g)/(1/16). Calculate the common denominator of ((-6)/5)/((-99)/d) and -46.
11
Suppose -18 - 3 = -n. Suppose -w - 4*q = -n, -6 = -0*w - 2*w + q. What is the least common multiple of 5 and w?
5
What is the least common multiple of (1 - -1 - 12)/(20/(-60)) and 3?
30
Let p = -11751 - -258625/22. Calculate the common denominator of -47/16 and p.
176
Let t(i) = 2*i + 3. Let p be t(-2). Find the common denominator of -143/6 and (p - 0)/(5 + -4).
6
Let l(i) = -i**2 - 6*i - 6. Let g be l(-5). What is the common denominator of 101/4 and (-3)/15*(-24 - g)?
20
Let p be (-2)/3 + (-194482)/(-49335). Let k = -48391659/1495 - -32369. Let h = p + k. Calculate the common denominator of 77/8 and h.
88
Let v be (2 + 0)*36/(-8). Calculate the common denominator of (v/25)/((-4)/(-5)) and -9/10.
20
Suppose -75 = -13*x + 8*x. Suppose 3*v + g - 18 = 0, -2*g - 17 = -4*v - g. What is the least common multiple of x and v?
15
Calculate the common denominator of 31/12 and 214/(-120) + 2/12.
60
Let z = 1657/24 + -69. Calculate the common denominator of z and 13/24.
24
Calculate the common denominator of 0 - (-1)/(-10)*84/(-18) and -15/11.
165
Find the common denominator of -51/35 and 8/((-36)/8 - -3).
105
What is the common denominator of 842/330 + (-14)/35 and -56/27?
297
Let w(r) = 23*r**2 - r. Let g be w(1). Suppose c - 1 = u, 0 = 4*c + 2 - g. Calculate the least common multiple of 7 and u.
28
Let f = 69 - 68. What is the lowest common multiple of f and 3?
3
Let u = -66 + 73. What is the least common multiple of u and 3?
21
Let c be ((-38)/32)/(5/468). Let p = 36417 + -363201/10. Let k = c + p. Calculate the common denominator of k and -9/16.
16
Let z(j) = j**2 + 3*j + 2. Let o be z(-3). Calculate the lowest common multiple of 70/15 + o/(-3) and 2.
4
Let x(h) = h + 9. Let v be x(-5). Let y = 5 + -5. Suppose y = 4*b - 16 + v. Calculate the least common multiple of 9 and b.
9
Let n(i) be the second derivative of -i**5/20 + 7*i**4/12 - 2*i**3/3 - i**2 - i. Let u(p) = -p - 3. What is the least common multiple of u(-21) and n(6)?
90
Let u be ((-5665)/60)/((-56)/(-306)). Let n = -3639/7 - u. Calculate the common denominator of n and -131/18.
144
Let x(o) = -11*o - 2. What is the least common multiple of x(-2) and 4?
20
Suppose -13*l = -16*l + 12. Calculate the lowest common multiple of 10 and l.
20
Find the common denominator of (1245/(-24))/(-5)*-2 and 47/5.
20
Let g(w) = 23*w**2 + 3*w + 1. Let z be g(-1). Let c = 25 - z. What is the smallest common multiple of c and 6?
12
Suppose -5*l + 65 = -4*h, 0*l - l + 5*h + 34 = 0. What is the common denominator of (10/(-88))/(1/10) and ((-855)/48)/(l/6)?
88
Find the common denominator of 31/(-14) - -1*2 and -137/12.
84
Suppose -3*b + 5*u = 2*b, 4*u = b - 6. Let p = b - -10. Calculate the smallest common multiple of p and 20.
40
Let s(q) = -3*q. Let c be s(1). Suppose 0*d + 148 = 4*d. Calculate the common denominator of 2/(-8)*(c + d) and -57/16.
16
Let j be 46*((-15)/(-6))/(-5). Let b = 29 + j. Suppose -3*z + 5*s = -27, -3 + 5 = 2*z + 2*s. What is the smallest common multiple of z and b?
12
Let o = -3/4 + 5/2. Let t = o - 13/8. Calculate the common denominator of 51/20 and t.
40
What is the common denominator of 121/40 and 2/(-13) - 917/208?
80
Let d = -57 - -69. What is the lowest common multiple of (-92)/(-5) + 2/(-5) and d?
36
Suppose r = v + 3*r - 58, 5*v + 3*r = 262. Suppose -9*a + 4*a = -v. Calculate the smallest common multiple of 8 and a.
40
Let z = -99/14 - -4/7. Find the common denominator of z and -39/8.
8
Let c(g) = -g**3 + 8*g**2 - 4*g + 8. Let a be 16/(-2)*(-3)/3. Let d = -2/4087 + -130762/44957. Calculate the common denominator of d and c(a).
11
Let g be 0/(-3) - (-176002)/(-29664). Let v = g + -4/927. Let p = -789 - -3075/4. What is the common denominator of p and v?
16
Let u = 47174 - 24006. Suppose -s = -5, -3*h + 2*s - u - 13820 = 0. Let g = h - -148007/12. What is the common denominator of -31/8 and g?
24
Suppose -d + 981 = -6*d - 3*n, 402 = -2*d + 2*n. What is the common denominator of -3 and (d/(-48))/((-6)/(-4))?
4
Suppose -2*j + 3*t = -7, 0*j - j - 3*t - 19 = 0. Let g(d) = -3*d - 4. Calculate the least common multiple of g(j) and 8.
8
Let a = 12 - 8. Suppose -j + 7 + 0 = 0. What is the least common multiple of a and j?
28
Let l = -41 - -45. Suppose 2*u + 0*u - 4 = 0. What is the least common multiple of u and l?
4
Let k = -210967/460 - 329/92. Let p = -9261/20 - k. What is the common denominator of p and 77/20?
20
Let q be ((-34)