z = -21*z - 32. Calculate the lowest common multiple of z and q.
24
Calculate the common denominator of -93/20 and (-3411)/(-4536) + (-2)/4.
2520
Suppose -4*b - p + 4 = -6, 4*b = p + 14. Suppose 2*n + 9 = -l + 3*n, 2*l + 22 = b*n. Let a = l - -11. What is the smallest common multiple of 4 and a?
12
Calculate the common denominator of (30/80)/((-40)/(-38) + -1) and 35/24 + 2/(-6).
8
Suppose 3*o - 267 = -6*h, -5*o + 5*h = -3*o - 223. What is the least common multiple of 162 and o?
1782
Suppose 0 = 4*a - 4*x - 2240, 1136 = a + a + 2*x. Suppose a = i - 4*r, -471 = -2*i + r + 650. Calculate the common denominator of 3/(-7) + 604/i and -83/18.
180
Suppose d = -8*d + 594. What is the smallest common multiple of d and 60?
660
Find the common denominator of -1*(0 - (-71)/(-6)) and -69*(-1)/(-168)*-20.
42
Suppose u = -44 + 50. Calculate the lowest common multiple of u and 12.
12
Let i = 13 + 56. What is the smallest common multiple of (-52)/(-6) - (-4)/(-6) and i/18 - 2/(-12)?
8
Let l(j) = -j**2 + 2*j + 3. Let i be l(3). Suppose i = 4*p + 9 - 49. Calculate the least common multiple of p and 7.
70
Let o = 70 + -35. Calculate the least common multiple of 70 and o.
70
Let d = 26 - 13. Suppose -n + g = -7, 0*n + g - d = -n. What is the lowest common multiple of n and 10?
10
Suppose 540 = 2*t + 1890. Calculate the common denominator of (t/(-10))/(-9) - -4 and (-1 - 0)*(-93)/8.
8
Let t = 3038965/722136 - -1/30089. Calculate the common denominator of t and -7/9.
72
Let f be 3*(2 - 13537/(-3)). Let b = -1/6173746 - -502039764107/37042476. Let g = f - b. Calculate the common denominator of g and 57/14.
84
Suppose 8*i - 55 - 57 = 0. Let p(c) = c. Calculate the lowest common multiple of p(4) and i.
28
Let t = -1 - -4. Let y(m) = -2*m + 1. Let l be y(2). Let x(p) = 2*p**2 + 5*p + 5. What is the smallest common multiple of x(l) and t?
24
Let g(a) = a**2 - a + 4. Let n be g(-3). Suppose 8 + n = 3*d. What is the smallest common multiple of d and (-30)/(-4)*(-4 + (-80)/(-12))?
40
Let v(x) = -x - 7. Let s be v(-8). What is the common denominator of (s - (-51)/2)*-1 and 91/8?
8
Let u be 7561/(-3443)*(1 + 0). Let i = -24/313 + u. Find the common denominator of -20/7 and i.
77
Let k = 29/747 + 23/12948. Calculate the common denominator of k and 133/30.
2340
Suppose -9 = 2*f + f, -k - 3*f = 6. Let r(q) = q**2 - 3*q. Let i be r(k). Let m = -11 + i. Calculate the common denominator of 39/11 and m.
11
Calculate the common denominator of 6/(-3) - (-4)/((-1232)/(-636)) and 101/14.
154
Suppose 3*x = -3*x + 24. What is the lowest common multiple of 12 and 9 + (8/2)/x?
60
Let g = -96 - -106. What is the least common multiple of (8/g)/(-4) - 36/(-5) and 1?
7
Let j(h) = -h**2 + 15*h + 38. What is the least common multiple of 240 and j(17)?
240
Suppose -2*s = -s - 1. Let x be (s - 1) + -3 + 6. Suppose -x*k = -2*k - 2. What is the smallest common multiple of 4 and k?
4
Let c(y) = -y**2 + 11*y - 20. Suppose -5*u - 8 = -u. Let g = 1 - u. Calculate the smallest common multiple of c(7) and g.
24
Let u(g) = -g + 1. Let c be (-1 + (-40)/(-4))*-1. Let w be u(c). Suppose -3*o + w = 2*o. Calculate the lowest common multiple of 1 and o.
2
Let n = -30935 - -3217313/104. Calculate the common denominator of 19/26 and n.
104
Suppose 43 = 4*l - 4065. Calculate the common denominator of 1/(-2) - l/390 and -107/18.
90
Let s = -23 + 15. Calculate the common denominator of -52/5 and (-3)/4 + 29/s.
40
Let a = 76 - 36. Suppose -a = -7*l + 3*l. Suppose 4*c + c - 5*d = l, 0 = 4*c + d - 3. What is the least common multiple of c and 2?
2
Let a be (-3)/(182/88 - 2). Let b = 93 + a. Calculate the lowest common multiple of 11 and b.
539
Suppose -o + d - 6*d + 33 = 0, 35 = 5*o - d. Calculate the smallest common multiple of 40 and o.
40
Let a(p) = 15*p. Suppose -2*q - 12 = -18. Suppose -f + 2*z = 0, -4*f = -3*z - 7 - q. What is the least common multiple of f and a(1)?
60
Let z(n) = 16*n**2. Let t be z(-1). Suppose -3*l = -2*h + 14, 5*h + 59 = -5*l - 6. Calculate the least common multiple of -4*(-4)/t - l and 11.
99
Let l be 4/2282 - (-1 + 1/1). Let n be (-1)/4 - (-133489)/(-4564). Let h = l - n. What is the common denominator of h and -24/13?
26
Suppose 12 = q - 6*b + 4*b, 0 = -3*q + b + 61. Suppose 0*y + 20 = y + 5*s, 0 = s - 2. Let h = y + 2. Calculate the lowest common multiple of q and h.
132
Let k(c) = 7*c + 163. Calculate the smallest common multiple of 231 and k(-22).
693
Let p = 22 - 14. Suppose -2*z + 32 = -2*d - 14, 5*d = -z - 109. Let x = 31 + d. What is the least common multiple of x and p?
72
Let a(v) = -v**3 + 6*v**2 - 4*v - 3. Let r be a(5). Calculate the common denominator of 149/6 and ((-184)/(-44))/r - -3.
66
Let m be (-274)/14 + 12/(-28). What is the common denominator of 23/4 and (45/m)/(30/(-92))?
20
Let q(d) = d**3 - 2*d + 50. Let r = -5 - -5. What is the smallest common multiple of 22 and q(r)?
550
Let c(z) = z**2 + 2*z + 3. Let v be c(0). Suppose 3*h = -v*x + 426, -2*h - 4*x + 145 = -h. Find the common denominator of 91/4 and (13/(-39))/((-2)/h).
4
Let p = -2/801 - 21607/8010. Find the common denominator of p and 97/8.
40
Let k(c) = -3*c**2 + 18*c + 13. Let q be k(7). Let u = 22 - 8. Calculate the common denominator of -63/8 and (u/(-21))/(q/206).
24
Let u = 1264 - 936. Calculate the lowest common multiple of 80 and u.
3280
Let h(q) = -q**3 + 8*q**2 + 4*q - 4. Let i be h(7). Suppose 0 = 4*d - i + 1. Let y = -394 + 402. What is the smallest common multiple of y and d?
72
Let u = -329/710 + 70139/110760. Find the common denominator of 13/18 and u.
936
Let v(i) = 2*i - i - 146*i**2 + 16*i**3 + 0*i + 143*i**2. What is the lowest common multiple of v(1) and 16?
112
Suppose -y + 5*p = 17, -3*y + 7*p = 2*p + 11. Suppose 6*w - y*w - 30 = 0. Calculate the least common multiple of 22 and w.
110
Let b be (36/(-12))/((-3)/4). Suppose -5*o - 2*y + b*y = -23, 0 = -3*o + 2*y + 13. Calculate the smallest common multiple of 14 and o.
70
Let k(h) be the third derivative of h**4/8 + 5*h**3/3 - 5*h**2. Let r be k(-4). Calculate the smallest common multiple of 10 and 10/(20/8 + r).
20
Let c be (-2)/(-9) + (-15540)/66285. Let h = c - 29903/3928. Find the common denominator of h and 29/4.
8
Calculate the common denominator of -87/22 and ((-66)/(-220))/(62/30).
682
Let c = -6067 - -6076. Let v(d) = -d**2 - 3*d - 3. Let h be v(3). Calculate the smallest common multiple of c and (-51)/(-7) + 6/h.
63
What is the common denominator of ((-1521)/2886)/(21/5) and 123/70?
2590
Let l(y) = y**3 + 15*y**2 + 54*y + 46. Calculate the smallest common multiple of l(-10) and 7 + 0 + 1 + -2.
6
Calculate the common denominator of -35/6 and 5/((-840)/(-9))*(-278)/(-9).
84
Let p(c) be the third derivative of -c**4/24 + c**3/3 + 7*c**2. What is the smallest common multiple of 4 and p(-6)?
8
Let k = -21945656396/118437958485 + -11/16628706. Let o = -401/40810 + 8/583. Let g = o - k. What is the common denominator of g and 79/2?
74
Let n(q) = 52*q**3 + q**2 - 2*q + 1. Let c be n(1). Let s = -30 + c. Calculate the smallest common multiple of s and 12.
132
Suppose 5 = -5*q, 0 = -2*v + 3*q - 15 - 6. Let p(u) = -67*u + 14. What is the least common multiple of -4*(-10)/v*-3 and p(0)?
70
Calculate the lowest common multiple of 76 and (-12 - -2) + (121 - -3).
228
What is the common denominator of -59/20 and (20/25)/(16/24)?
20
Suppose 5*z + 20 = s, 10*s - 5*s + 3*z = -12. Let l = 5 + s. Suppose -l*t + 30 = -25. What is the smallest common multiple of 5 and t?
55
Let o = 3075 + -21477/7. Let k = -1217/154 + o. Calculate the common denominator of k and 97/6.
66
Let l(c) = -c + 9. Let u be l(-9). Let q be 60/u*3879/(-13). Let z = 231245/234 + q. What is the common denominator of z and 63/20?
180
Let d = 2177 + -2171. Suppose -3*m + 66 = -0*m. Calculate the least common multiple of m and d.
66
Let g be -8*2/(-8) + 12/2. Suppose 21*x = 13*x + g. What is the lowest common multiple of x and 6?
6
Let z = 14689/66 - 668/3. Calculate the common denominator of 11/42 and z.
462
Let w(n) = n**2 - n + 11. Let t be w(0). Suppose 2*u - 33 + t = 0. Let p(l) = l**2 - 29*l - 251. What is the lowest common multiple of u and p(36)?
11
Let b(p) = p**2 + p + 5. Let l be b(4). Suppose -5*q + 0*q = -l. Let v = 19 - 10. What is the least common multiple of q and v?