1. Calculate the smallest common multiple of m(1) and d.
18
Suppose -3*y + c = -3*c - 9, -5*y = 5*c - 15. Suppose -y*b - 17 = -4*a, -5*a + 28 = 3*b - 27. Let t = a + -4. Calculate the least common multiple of 4 and t.
4
Suppose y = 2*y - 18. Suppose 0 = 3*j - 0*j - y. What is the least common multiple of 9 and j?
18
Let k(q) = -3*q - 4. Let p(s) = -3*s - 4. Let j(d) = 6*k(d) - 5*p(d). Calculate the lowest common multiple of j(-3) and 6.
30
Suppose -22 = -4*f + 2*f. Calculate the least common multiple of 10 and f.
110
Let j = 23119/10 - 2323. Let c = -239/20 + 81/4. What is the common denominator of c and j?
10
Suppose -4*k + 12 = 0, 5*b - 3*k + 2091 = -k. Let d = b + 1291. Let w = 8731/10 - d. What is the common denominator of 28 and w?
10
Let w(i) = 11*i**2 + 2*i - 1. Calculate the least common multiple of w(1) and (-16)/72 - (-20)/9.
12
Let h(i) = 5*i - 23. Let o(l) = 3*l - 12. Let b(v) = -4*h(v) + 7*o(v). Let s be b(-6). Calculate the smallest common multiple of 78/5 - s/(-5) and 22.
176
What is the least common multiple of 11 and 2/(-11) + (-112)/(-11)?
110
Let m be 410/(-60) - (-2)/(-12). Calculate the least common multiple of 12 and 4/5*(-2 - m).
12
Let m(h) = 53*h**3 - h**2 + 2*h. Let q be m(-2). Let p = 2671/6 + q. Calculate the common denominator of p and (16/10)/((-33)/(-15)).
66
Suppose -749 = -5*u + 781. Let c = -1167/4 + u. Find the common denominator of c and 17/5.
20
Calculate the common denominator of (15/20)/(5/(-7)) and -151/12.
60
Let s(t) = 2*t**3 - 5*t**2 - 3*t + 9. What is the least common multiple of 45 and s(4)?
45
Suppose s = 2 - 0. Calculate the common denominator of 11/16 and (-26)/6 + s/(-8).
48
Let v = -4 - -6. Suppose -360 - 4 = v*z. What is the common denominator of (6 - 8)*z/72 and -11/4?
36
Find the common denominator of (-1040)/72*(-2)/4 and 117/10.
90
Suppose 5*k = k + 4. Let w = 1 + k. Let o(a) = 2*a**2 - 3*a - 1. Calculate the smallest common multiple of w and o(3).
8
Let d = 1398 + -99270/71. Let v = -2249/284 - d. What is the common denominator of 21/11 and v?
44
Let g = 0 + -1/4. What is the common denominator of 13/4 and g?
4
Let k = -35 - -51. Let j be 1 + 0 + (0 - 2). Let t(z) = -18*z**3 + z**2 + z. What is the least common multiple of t(j) and k?
144
Let d = 7/135 - 1012/135. Calculate the common denominator of 47/6 and d.
18
Suppose 0*q = 4*s - 4*q + 44, 4*q = s + 8. Let a = -6 - s. What is the least common multiple of 4 and a?
12
Let q(t) = -t**3 + 10*t**2 - 7*t + 4. What is the lowest common multiple of 10 and q(9)?
110
Suppose q = 2*q + 6. Calculate the least common multiple of -1 + 3/q*-46 and 2.
22
Let l = -22/7 + -241/28. What is the common denominator of l and -83/2?
4
Let d be 24/229*(-9)/(-12). Let u = 33097/1374 + d. Calculate the common denominator of u and 35/16.
48
Let c(b) = b**2 + 10. Let a be c(0). Let k = a + -1. Let t = 10 - 2. What is the lowest common multiple of k and t?
72
Suppose 0 = 5*f, -f + 6*f = 3*o - 12. Suppose 2*l + 804 = u, 776 + 26 = u - o*l. What is the common denominator of u/(-72) - (-12)/(-54) and -113/12?
12
Let u = -151/5 - -279/10. Calculate the common denominator of 41/60 and u.
60
Let i = 25 + -16. Calculate the least common multiple of i and 93/12 + (-1)/(-4).
72
Calculate the lowest common multiple of (4 - 188/20)*-5 and 18.
54
Suppose 70 = 7*m - 2*m. Let n be (m/384)/(6/9). Let t = -63/128 + n. Calculate the common denominator of t and 29/8.
16
Let a be (12/(-10))/(2/5). Let z be 14289/(-12) + a - -3. Let g = z - -1179. Find the common denominator of -44 and g.
4
Suppose 4*r - 12 = 76. Suppose v = -2*v + 6. What is the least common multiple of v and r?
22
Suppose 4*u + 26 = 3*n - n, 5*n = 4*u + 53. Calculate the lowest common multiple of 10 and n.
90
Let y be 1*14 - (2 + 0). Calculate the common denominator of 24/10 + (-3)/y and 94/(-4) + (-2 - 0).
20
Let a = 1778 + -10745/6. Calculate the common denominator of 238/(-12) - -1*1 and a.
6
Suppose -8*a + 84 = -a. What is the least common multiple of a and 20?
60
Let z = -78293/12 - -6537. Find the common denominator of z and ((-44)/6)/((-52)/(-143)).
12
Suppose -f + 4 = 6, -2*d - 190 = 2*f. Suppose -o = 2*o - 9. Calculate the least common multiple of 5 and 2/o + d/(-9).
55
Let b = 38061/8 - 4751. Calculate the common denominator of (10/(-16))/(5/75) and b.
8
Let i(g) = -g**2 + 141. Let a be i(0). Let x = a + -97. Let s = x + -28. What is the lowest common multiple of 18 and s?
144
Let g be (2 - -1)*(-50)/(-222). Let u = g + -2705/444. Calculate the common denominator of u and 7/16.
48
Let t be (-4)/14 + 648/2121. Let g = t - -4131/505. What is the common denominator of g and (-73 - 0)*(-7)/(-21)?
15
Let t be (-4 - -2) + (-20)/(-2). Suppose -g + t = 3*g. What is the least common multiple of g and 20?
20
Let b(w) = w**2 - 3*w + 4. What is the lowest common multiple of 0 - 2/(-1) - -3 and b(3)?
20
Let u be (29314/36)/(10/(-30)). Suppose 3*n - 5*w = 7360, -5141 = -3*n - 5*w + 2199. Let l = u + n. Calculate the common denominator of l and -34/11.
66
Let v = 6163/4 + -1552. Find the common denominator of v and 4/(-5)*(-25)/30 + -3.
12
Calculate the common denominator of -103/26 and 6/9*(-186)/40.
130
Let o(d) = 53321439976*d + 6. Let t be o(6). Let i = t - 20267479334800591/63350. Let f = 6/4525 - i. Find the common denominator of f and 21/20.
140
Suppose -2 - 10 = -3*c. Suppose 0*q - 5*q - 5*a = -55, 2*a = -c*q + 48. Calculate the least common multiple of q and 4.
52
Let g(w) = -2*w**2 - 23*w - 9. What is the lowest common multiple of g(-10) and 33?
231
Find the common denominator of -1 - ((-949)/6)/13 and 3/6 + (-137)/12.
12
Let m(v) = 13*v**3 + 2*v**2 + 3*v - 2. Let q be m(3). Let l be 22508/(-60) - (-1)/3. Let k = q + l. Find the common denominator of k and -19/2.
10
Suppose 3*g = -2*d + 7*g + 30, 4*d - 3*g = 35. What is the lowest common multiple of d and 8?
40
Let t(b) = -5*b + 4. Let l(o) = 15*o - 11. Let s(c) = 4*l(c) + 11*t(c). Let g be s(-2). Let j = -32 - g. Find the common denominator of 137/6 and j.
6
Let i(t) = -t**3 + 9*t**2 - 15*t + 10. Calculate the lowest common multiple of i(7) and 12.
12
What is the common denominator of 130/(-15)*15/(-4) and -107/22?
22
Let i(m) = -m**3 - 4*m**2 + 2*m - 1. Let d be i(-5). Let h = d - -4. Calculate the smallest common multiple of h and (-1)/(-1) + 3 + 10.
126
Let v = 1552039787/31295520 - 23770/21733. Let c = 1/1440 + v. Find the common denominator of 49/10 and c.
10
Let n = -51033/7 - -7320. Let u = -73716373/2894080 + 3/413440. Let p = u + n. Find the common denominator of -23 and p.
10
Let t(r) = 1. Let n(i) = i - 2. Let x be 6/(-8) - 4/16. Let h(v) = x*n(v) - 2*t(v). What is the least common multiple of 2 and h(-6)?
6
Let f = -30 + 40. What is the least common multiple of f and 54?
270
Let g = 39463/12 + -3276. What is the common denominator of g and 73/4?
12
Let k(t) = t**2 - 3. Let m be k(-5). Suppose w + w = m. What is the least common multiple of w and 10?
110
Suppose 0 = 5*u - 0*u + 2270. What is the common denominator of u/(-24) - (-2)/6 and 4/(-26) - 619/(-52)?
4
Let y = 41960/236049 - 50918/3421. Let s = y - -10/253. Calculate the common denominator of 95/4 and s.
12
What is the common denominator of (3400/(-45))/10 + 4*1 and 23/11?
99
Let b be (2 + -1)/(1/(-5)). Let r = b + 7. Calculate the common denominator of -79/18 and r/(-3)*(-78)/16.
36
Let u(p) = p**2 + 9*p + 7. Let v be u(-8). What is the common denominator of 71/22 and (v - 1) + 873/(-108)?
132
Let k be ((-3)/4)/((-3)/(-17196)). Let i be 772430/(-40)*2/9. Let s = k - i. What is the common denominator of -95/6 and s?
18
Let q = -11 + 14. Suppose -m + 3*c = -8, 18 - 6 = 3*m + 3*c. Suppose -2 = -t + p + 10, q*t - 44 = m*p. Calculate the smallest common multiple of t and 10.
40
What is the least common multiple of (4 - 6)*2 + 22 and 10?
90
What is the least common multiple of 3 and 0 - (-7 + (-8)/2)?
33
Suppose 7*d - 2*d + 5 = 0. What is the least common multiple of 21/3*(0 - d) and 10?
70
Let r = -18/221 - -15763/884. Let s = 63263/16 + -3952. What is the common denominator of r and s?
16
Let w = 0 - 0. Let s = w - 6. Let f(h) = -2*h - 3. What is the smallest common multiple of 4 and f(s)?
36
Let k = -97/16 + 6. Find the common denominator of -39/16 and k.
16
Suppose -12*s + 11*s + 11 = 0