 smallest common multiple of 254 and i.
1270
What is the common denominator of 163/42 and (-2 - -4) + (-6 - (-1839)/540)?
1260
Let g = -46013/15 + 3066. Calculate the common denominator of 49/186 and g.
930
Suppose -6 = 3*w, 5*z + 5*w = -9 - 61. Calculate the lowest common multiple of (z + -3)/5 - -27 and 44.
264
Let l(c) = c**2 + 8*c + 12. Suppose 0 = -5*k - j + 235, 2*j + 36 = 3*k - 2*k. Let f = k + -24. Calculate the lowest common multiple of f and l(-8).
132
Suppose 0 = -5*s + 15, -4*n - 4*s = -59 - 49. Calculate the smallest common multiple of n and 16.
48
Let j(b) = 4*b**2 + 2*b - 3. What is the lowest common multiple of 699 and j(-3)?
6291
Suppose 14*p - 8*p - 66 = 0. What is the least common multiple of 22 and p?
22
Let r(q) = q**2 - q - 1. Let m = -20 + 19. Let o be r(m). What is the common denominator of -101/8 and o*(105/9 + -2)?
24
Let v = -186673625/171 + 1091652. Let u = v - 34/57. Find the common denominator of -73/9 and u.
9
Calculate the common denominator of (-15)/9 - 129880/(-83436) and -46/11.
4499
Let v(f) = -f**2 + 12*f - 1. Let r(l) = -l**2 + 11*l - 2. Let b(o) = -4*r(o) + 3*v(o). What is the lowest common multiple of 2 and b(9)?
14
Let c(n) = 4*n**2 + 7*n + 15. What is the lowest common multiple of c(7) and 52?
260
Let o = 0 + 3. Suppose 8 + 19 = o*f. What is the lowest common multiple of 6 and f?
18
Let t(g) = -12*g**3 - 4*g**2 - 2*g - 3. Let k be t(-3). Suppose 12*u = 19*u - 112. What is the common denominator of -75/28 and u/4 - k/54?
252
Let i(m) = m**2 - 13*m + 1. Let j be i(11). Calculate the smallest common multiple of 6/21 + (-204)/j and 2.
10
Let t = 18 + -14. Let g be (95966/(-15))/(t/(-4)). Let v = 6400 - g. Calculate the common denominator of v and -41/11.
165
Let g(a) = -a - 1. Let f(r) = -24*r - 24. Let v(c) = f(c) - 20*g(c). Let t = 20 + -24. Calculate the least common multiple of v(t) and 2.
12
Let n = -13704/5 - -1316119/480. Find the common denominator of n and -15/34.
1632
Let a = -17480 - -489325/28. Calculate the common denominator of a and -1/24.
168
Let q(i) = 5*i**2 - 15*i - 20. What is the lowest common multiple of 105 and q(-4)?
840
Suppose 556 = 8*q - 148. What is the least common multiple of q and 40?
440
Suppose 2 = 4*x + 2*v, v = -6*x + 3*x. Let l = x - -5. Calculate the smallest common multiple of 10 and l.
20
Let y = -2535/8 - -318. Let b = -122203/30 + 4074. Find the common denominator of y and b.
120
Suppose 3*f - 28 = -4*d, 0 = 3*f - f - d - 15. Suppose 43 - 14 = -2*k + b, 3*k + b = -31. Calculate the lowest common multiple of 3 and (k/(-48))/(1/f).
6
Suppose -p - 6480 = -10*p. Find the common denominator of -85/4 and 2/((p/55)/(-6)).
12
Let p = -39/28 + 247/14. What is the common denominator of 5*1463/1710 - (1 + -2) and p?
36
Suppose -19*d + 2646 - 309 = 0. Calculate the smallest common multiple of d and 11.
1353
Let w(x) = 8*x**2 + 16*x + 2. Let a = -21 + 35. Calculate the least common multiple of a and w(-2).
14
Let c = -45 - -69. Suppose 4*l + c = 6*l. What is the least common multiple of l and 14?
84
Let w(p) = 3*p**2 + 63*p - 122. Let s = 26 + -16. Calculate the lowest common multiple of s and w(-23).
80
Suppose 22*a = 15*a + 651. What is the smallest common multiple of a and 11?
1023
Let g be (-3 - (-44)/4)*(-7)/(-2). Suppose 4*o - 4*j + g = 6*o, -2*o - 5*j = -24. What is the least common multiple of o and 18?
198
Let d = 278 + -218. Calculate the lowest common multiple of 35 and d.
420
What is the common denominator of (1/(-122))/((64/(-680))/(-8)) and -5/4?
244
Suppose 6*f + 2*f - 24 = 0. Suppose 7*l + 32 = 11*l. Calculate the lowest common multiple of f and l.
24
Let k = 181 - 181. Let g(f) be the third derivative of -f**6/120 - f**5/60 + 5*f**3/3 - f**2. What is the lowest common multiple of g(k) and 8?
40
Suppose 2*h = 275 - 147. Calculate the lowest common multiple of 88 and h.
704
What is the smallest common multiple of 12 and ((-54)/30)/((-3)/50)?
60
Suppose 76*v - 79*v = -24. Let n(w) = -w**3 + 5*w**2 + 5*w + 2. Let z = 7 + -2. What is the lowest common multiple of v and n(z)?
216
Let p be ((1 - 0)/(-2))/(2 - 120). Let t = 5779/708 + p. Calculate the common denominator of -55/21 and t.
42
Suppose -5*k + 2*i = -45, -4*i = -53*k + 57*k - 8. Calculate the lowest common multiple of 4*-6*(-1)/8 and k.
21
Let d = -103373/4368 - 1/1456. Suppose 456 = 3*r + r + 4*y, 4*r + 5*y - 455 = 0. What is the common denominator of (r/(-6))/(-1) - 1/3 and d?
6
What is the common denominator of (288/(-90))/((-6)/5) and 103/36?
36
Let p(m) = -2*m**2 + 31*m - 62. Calculate the lowest common multiple of 20 and p(10).
240
Suppose -17*z + 22*z - 10 = 0. Let a(h) = 3*h**2 - 2*h + 3. Calculate the smallest common multiple of 7 and a(z).
77
Let m(a) = -a**3 - 12*a**2 - 8*a + 23. Let t be m(-11). Let y be (-1 - (-2 - -4))*3. Calculate the least common multiple of (-132)/y - t/(-15) and 6.
42
Suppose 5*j + 6 - 6 = 0. Let f(t) = t**3 + t**2 - t + 8. Suppose 0 = -4*k + 10 + 6. Calculate the smallest common multiple of k and f(j).
8
Calculate the common denominator of -151/24 and ((-17)/(-60) - 2) + 24/96.
120
What is the common denominator of (812/(-1092))/((-16)/(-6)) and -101/18?
936
Suppose 3*m + 2*i = 0, -259*i = -5*m - 263*i - 4. Let t = 22 + -4. What is the least common multiple of m and t?
36
Let d be (7/(-7))/(1/(-699)). Let i = d + -497. What is the lowest common multiple of i and 2?
202
Suppose 11*t - 233 = -13. What is the smallest common multiple of 32 and t?
160
Suppose 0 + 10 = 2*s. Suppose 0 = 4*k - 0*f - 3*f - 58, k - 6 = s*f. Suppose -40*u + 48*u = 144. Calculate the least common multiple of u and k.
144
Let b be 17 + 0 - (-2 + (0 - 1)). Calculate the smallest common multiple of 6 and -21 + b - (-11 + -2 + 3).
18
Let h = 131 - 1957/15. Calculate the common denominator of h and -74/45.
45
Let w = 1441/18 + -89207/1116. Find the common denominator of w and 43/310.
620
Let u(h) = -20*h. Let d = 4688 + -4678. Calculate the lowest common multiple of u(-1) and d.
20
Let s = -2849047/3446758 - -2/35171. Find the common denominator of s and -125/42.
294
Let o(j) = 14*j - 552. Let v(s) = s**2 + s - 6. Calculate the lowest common multiple of o(40) and v(5).
24
Let f = -88/91 - -7711/728. Find the common denominator of f and -85/66.
264
Let l = 124 + -173. Let u = l + 69. Calculate the smallest common multiple of 20 and u.
20
Suppose 4*p - 2*t = 2*t, -4*t + 9 = -p. Suppose -2*n - 27 = -p*n. What is the least common multiple of 30 and n?
270
Let o(y) = 57*y**3 - 3*y - 2. Let k be o(2). Find the common denominator of 7/k*148 + 1*-4 and 59/10.
80
Let i(y) = -y**3 - 28*y**2 + 32*y + 93. Suppose 0*k - 117 = -5*n + 2*k, -5 = 5*k. Calculate the smallest common multiple of i(-29) and n.
138
What is the common denominator of (-4)/(-26) - ((-16324)/624)/(-7) and -115/12?
12
Let l = 777/38 - 90191/4370. Calculate the common denominator of l and -27/55.
1265
Suppose -7 = 2*l + 5*v, -4*v - 27 = 5*l - v. Let w = 0 - l. Suppose -5*s + w*s = 1. What is the least common multiple of 1 and s?
1
Suppose -2*g - 2 = 2*k, 3*g + g = 3*k + 17. What is the smallest common multiple of ((-15)/(-60) - 19/(-4)) + k and 28?
28
Suppose -10*u + 1152 = 14*u. Calculate the least common multiple of u and 48.
48
Let q(f) = -2*f**3 + 2*f**2 + f - 2. Let y be q(1). Find the common denominator of (y/6)/(28/(-1332)) and -137/6.
42
Let v = -141091/105 + 26639/20. Let f = v + 62/7. Find the common denominator of -93/44 and f.
132
Let w = -4440551865/247771 - -17922. Let l = -5318900027/2477710 + w. Let g = l + 2140. Calculate the common denominator of 101/6 and g.
30
Suppose 163 = 5*c - 197. What is the least common multiple of 32 and c?
288
Suppose 5*j + 285 - 23 = 2*l, -2*l - 4*j + 262 = 0. What is the smallest common multiple of l and 13?
1703
Suppose -3*i + 2*i = -42. Suppose x - 26 = -2*u, u - i = -2*u - 3*x. Calculate the smallest common multiple of u and 8.
24
Calculate the common denominator of -11 - -12 - (-150)/(-8) and -29/36.
36
Suppose -15*l + 4040 = -4060. What is the smallest common multiple of l and 324?
1620
Calculate the lowest common multiple of (-23 - -33)*-6*1/(-5) and 220.
660
Suppose -u + 2*k = -2*u + 15, 5*k = 4*u - 34. Let r = u - 6. What is the smallest common multiple of 9 and r?
45
Suppose -19*s = 18*s - 