2
Suppose 3*l - 2*c = 380, 0*c - 370 = -3*l + 4*c. Calculate the smallest common multiple of l and 104.
520
Let j be 3/36*(-174)/51. Let r = 6571/510 + j. What is the common denominator of -7/3 and r?
15
Let c(v) = -v**3 - 20*v**2 + 22*v + 33. Calculate the least common multiple of 9 and c(-21).
36
Let c(s) = s**2 - s - 290. Calculate the lowest common multiple of c(26) and 27.
1080
Suppose 6*h - 12*h - 1050 = 0. Let x = h + 1439/8. Calculate the common denominator of x and 49/15.
120
Let n = 3 + -2. Suppose 1 + 39 = 4*g. What is the smallest common multiple of n - (-2)/((-6)/(-27)) and g?
10
Let i = 18 + -6. Let r = -45 - -69. What is the lowest common multiple of r and i?
24
Let u(v) = -v**3 - 15*v**2 - 13*v + 15. Suppose 4*i + w + 53 = -0*i, 3 = w. Let z be u(i). Find the common denominator of 23/11 and 22*44/48*z.
66
Let q(m) = -2*m**2 + 28*m - 3. What is the lowest common multiple of q(10) and 49?
539
Let v = 530 - 514. What is the least common multiple of v and 204?
816
Let p = 7 + -2. Let f(k) = -k**2 - 5*k + 2. Let l be f(p). Calculate the common denominator of 7/5 and (28/l - -1)*-2.
30
Suppose p + 27 = 4*p - 5*g, 0 = 4*g. Let b(x) = 2*x - 30. Let i(k) = -k + 1. Let s(d) = b(d) + 6*i(d). Calculate the least common multiple of p and s(-8).
72
Let n = 346 - 343. What is the smallest common multiple of n and 18?
18
Let b = 85665/52 - 1647. Find the common denominator of b and -143/18.
468
Let y = 466 + -460. Calculate the lowest common multiple of y and 150.
150
Let c = -2 + 5. What is the least common multiple of 4 and ((-51)/(-15) - c)/((-2)/(-30))?
12
Suppose 0 = -3*a - 5*o + 73, 4*o = 5*a + 3*o - 159. Suppose 161 + a = -4*j. Calculate the common denominator of 27/16 and 7*4/j*1.
48
Let b = 4551333/70 + -65017. What is the common denominator of -117/40 and b?
280
Let g = 5795933 + -712895762/123. Let x = g - -1/246. Calculate the common denominator of x and ((-2)/2)/((-7)/(91/(-10))).
10
Suppose 9 = -5*f + 19. Let v(h) = -h**2 + 15*h - 19. What is the smallest common multiple of v(13) and f?
14
Let l(v) = v - 2. Let x be l(2). Let t(c) = -c**3 + 9. Suppose 0 = -6*d - 31*d + 296. What is the lowest common multiple of d and t(x)?
72
Let z = 10/2041 + 42221/130624. Find the common denominator of -16/7 and z.
448
Let r = -239/4 + 659/10. Let t(x) = -x**2 - 9*x. Let j be t(-5). Find the common denominator of (-3)/j*1236/(-18) and r.
20
Let l = 250/23037 + -1572622805/184296. Let k = l + 8545. Find the common denominator of k and 113/12.
24
Let i(m) = -3*m - 9. Suppose -2*w + 26 = -3*z + z, 4 = -z. What is the least common multiple of i(-4) and w?
9
Let a be (-22)/(-55) + 3/5. Let u be 1 - 5/(10/(-4)). What is the common denominator of -3/14 and a/3*u/(-4)?
28
Suppose 178 = 13*x - 30. Suppose 13 - 73 = -5*r. What is the least common multiple of x and r?
48
Suppose u - 2 = -2*i, 3*i - 8 = -u + 2*u. Suppose -m + 4*g - 20 = -i*m, 3*m + 2*g = 70. What is the least common multiple of m and 6?
24
Let i = 1752 - 3419/2. Let x = -676807/80 - -8460. Find the common denominator of x and i.
80
Let o(k) = -k**3 + 6. Suppose -6*c = 7*c. What is the smallest common multiple of 146 and o(c)?
438
Let i = 0 + -10. Let g = i + 16. Suppose -k - 4*k = 2*s - 12, 4*s - 6 = -k. Calculate the least common multiple of k and g.
6
Let q = -4203/20 - -1046/5. Let f(d) = d**2 - d + 9. Let s be f(0). Find the common denominator of q and (s/12)/(24/134).
80
Let s = -15 - -22. Let j be s/(-1 - (-2 - -2)). What is the smallest common multiple of 24/5 - j/35 and 9?
45
Suppose 5*x - f = 40, -4*x + 16 = 4*f - 16. Let v be (-2)/(1*(-1)/(-7)). Let y = v + 34. Calculate the least common multiple of x and y.
40
Let r = -8/95 + 3286/665. Find the common denominator of 42/(-45)*(-85)/(-4) and r.
42
Suppose -3*g + 5*x + 1 = -4*g, 0 = g - x + 19. Let t be (110*1)/(2/g). Find the common denominator of -74/3 and 9630/t - (-2)/(-11).
24
Let j be -3 + 2*2 + 4 + -2. Find the common denominator of 61/12 and (-28)/(-408) - 1/j*-2.
204
Suppose 0 = 8*y - 4*y + 120. Let t be 2/5 - 903/(-30). Let b = t - 103/4. Calculate the common denominator of b and y.
4
Suppose -5*f + 2*f + 91 = 2*b, -5*b = -2*f + 86. What is the common denominator of f/11*(59/(-9))/(-1) and -47/9?
9
Let g(m) = 2*m - 15. Let c be (1 - 1) + (-18)/(-2). Calculate the smallest common multiple of g(c) and 9.
9
Calculate the common denominator of 18/7 and 2/(-3)*27/54.
21
Suppose 5*j - 39 = 41. Let k be (-135)/6*4/(-3). Suppose 0 = 3*q - 0*q - k. Calculate the lowest common multiple of j and q.
80
Let p be 2 + ((-8645)/4320)/1. Let n = -35417/6048 + p. What is the common denominator of n and ((-1)/9)/((-3)/(-96))?
63
Suppose -5*f - 15 = -4*t, -25 = -9*t + 4*t. Suppose 5*p - 2*k = 6, 5 = 2*k + f. Let g(u) = u**2 - u + 4. What is the smallest common multiple of 11 and g(p)?
66
Let u be -7 + 4 + (3 - -2). Suppose -u*f - 22 = -j, -3*f - 34 = -2*j - f. What is the lowest common multiple of 12 and j?
12
Let r be (-8)/(-20) - (-10092)/270. Let x = r + -25831/684. What is the common denominator of -19/20 and x?
380
Suppose 499 = 7*a - 5. Calculate the lowest common multiple of a and 72.
72
Suppose 21 = 5*n - 9. What is the lowest common multiple of (-4)/128*12 + 179/8 and n?
66
Suppose 4*y - 195 = 45. Let f be (36/y)/((-4)/51898). Let w = 7775 + f. What is the common denominator of w and 61/4?
20
Suppose 2*b + 32 = 2*k, -6*k + 3*b + 59 = -2*k. Suppose 0 = -4*v + 5 + k. Calculate the smallest common multiple of v and ((-2)/(-1))/(1/11).
44
Let p = 252169/28 + -9009. Calculate the common denominator of p and 2/(-9) + 986/144.
56
Suppose -2*s + y + 60 = 0, s + 40 = 3*s + 4*y. What is the lowest common multiple of s and 49?
196
Suppose 3*r - 219 = 5*o, 3*o + 3*r - r + 120 = 0. Let f = 3727 - 14823/4. What is the common denominator of ((-171)/o)/((-10)/(-7)) and f?
20
Let s = -299753/303984 + -1/33776. Calculate the common denominator of s and -109/72.
72
Let g = -12853/2 + 77245/12. Find the common denominator of g and 11/9*(-176)/32 + 0.
36
Let j = 17/125 - -1457/6750. Find the common denominator of j and -31/222.
1998
Suppose 5*y = -60 + 225. Let c = -27 + y. Suppose -3*g - 6 = -c*g. What is the least common multiple of 2 and g?
2
Suppose 0 = u + 1 + 1. Let m be 4701/10 + 5 + u. Let k = m - 464. What is the common denominator of k and 43/4?
20
What is the lowest common multiple of 238 and (-3)/345*-10 - (-2892)/69?
714
Let y(i) = -4*i**2 + 8*i + 7. Let n be y(-7). What is the common denominator of -1/3 and (4 - 82/20)/(4/n)?
24
Suppose 10*q - 3*q - 301 = 0. Let a = q - 28. What is the least common multiple of 6 and a?
30
Suppose r = -1, -4*w - r - 3*r + 8 = 0. Let k be ((-850)/(-532) - w) + -1. Let j = 1/38 - k. Calculate the common denominator of j and -53/8.
56
Let q = 1164 - 1139. Calculate the least common multiple of q and 190.
950
Let j(p) = -12*p**2 + p - 1. Let r be j(1). What is the lowest common multiple of 17 and 1/(r/4 + 4)?
17
Find the common denominator of -103*2/(-48) + 4/4 and 8/9.
72
Calculate the common denominator of ((-144)/27 - -5)/((-8)/(-7)) and 107/40.
120
Let i(d) be the third derivative of d**6/120 - d**5/30 + d**4/8 - d**3/3 - 8*d**2. Calculate the least common multiple of 5 and i(2).
20
Let g = 5 + 42. What is the lowest common multiple of g and 9?
423
Suppose 54 = 6*h - 186. Let a = -28 + h. Calculate the smallest common multiple of a and 3.
12
Suppose 6*z - 10*z + 344 = 0. Let m = z - 74. What is the smallest common multiple of m and 44?
132
Let m(t) = 4*t**2 + 3*t - 38. Calculate the smallest common multiple of m(-6) and 22.
88
Let d = 2328/23 - 111031/1104. Calculate the common denominator of ((-92)/(-36))/((-6)/45) and d.
48
Find the common denominator of (5/(-10))/((-26)/58) - 0 and -65/14.
182
Let c(q) = -5917*q**3 + q**2 - q - 1. Let j be c(-1). Let f = 118237/20 - j. Let b = -55123/42 + 1312. What is the common denominator of f and b?
420
Suppose -43325 - 43219 = -6*m. Let c be (5/(-3))/((-8)/m). Let i = -33023/11 + c. Calculate the common denominator of 33/4 and i.
44
Suppose -1042 = 23*u - 24*u. Let c = 5829/254 + -1632761/1524. Let y = u + c. Find the common denominator of 25/2 and y.
12
Find the common denominator of (-6)/9 + 166/(-66) and ((-4)/(-7))/((-78)/(-2275)).
33
Suppose -11 = 5*k - 6.