
Find the common denominator of (-3)/12 - 2977/780 and -11/35.
105
Let z be (9/1 - 2) + -2. Suppose -4*u + 4*c - 60 = c, 0 = -z*c + 20. Calculate the least common multiple of 20 and (u/5)/((-12)/60).
60
Let d = 8 + -10. Let k = -22 + d. What is the least common multiple of 10 and (k/16)/(3/(-10))?
10
Calculate the common denominator of -59/12 and (-3)/3*(5 + (-138)/40).
60
Suppose 4*k = y + 91, -2*y - 52 = -3*k + 2*y. Let f = -17 + k. What is the least common multiple of 8 and f?
56
Let m = -80862 + 321837/4. Let j = 3299/8 + m. Calculate the common denominator of j and 15/22.
88
Let p(m) = -1 + 17*m**2 + 6*m - 9*m**2 - 7 - m**3 + 4*m. What is the smallest common multiple of 10 and p(9)?
10
Let t = 2272 - 31849/14. Find the common denominator of (-108)/(-640) - (4 - 48/10) and t.
224
Let m(q) = -q**2 - 11*q - 8. Let o be m(-7). Suppose 0*d + 5*d = o. Suppose z - 5*z + 44 = 0. Calculate the smallest common multiple of d and z.
44
What is the common denominator of ((-36)/20)/((-8)/15) and (3 - -2 - 0)*(-437)/46?
8
Calculate the smallest common multiple of 27 and -5 + 3 + 79 - 1/(-1).
702
Calculate the common denominator of 50/77 and 4/54*(-1593)/(-126).
693
Let x(p) = 20*p - 300. Calculate the smallest common multiple of 12 and x(18).
60
Suppose 0 = -15*q + 8*q + 588. Suppose -q*w + 80*w = -176. What is the lowest common multiple of 11 and w?
44
Let x = -161988/81191 + -6587651647/1015699410. Let f = -64/695 - x. What is the common denominator of (-5 - 1976/32)*4/54 and f?
18
Let z = -911/3 - -1733/6. What is the common denominator of z and (-10)/(-30)*12*(-13)/(-24)?
6
Let f = 18 - 9. Let i(r) = -7*r - 232. Calculate the smallest common multiple of f and i(-34).
18
Let h(n) = n**2 + 2*n - 7. Let p be h(-4). Let t(q) = 6*q**3 - q**2 + 2*q - 1. What is the least common multiple of t(p) and 2?
6
Let t = -40 + 47. Suppose -5*h + t = 2. Let b = -12 - -22. What is the least common multiple of b and h?
10
Suppose -5*q = -4*k - 50, -2*q + 54 = -3*k + 20. Let d be ((-30)/(-25))/((-3027)/k). Let m = d - 25261/9081. Calculate the common denominator of m and 55/3.
9
Let o(m) = -7*m**2 + 4*m + 1. Let q(s) = 3*s**2 - 2*s - 1. Let r(z) = 2*o(z) + 5*q(z). Find the common denominator of r(-3) and -47.
1
Let z = 11753674/261 + -45033. Calculate the common denominator of 113/42 and z.
3654
Let h be (-1632)/(-28) - (-4)/(-14). Let y = h - 36. What is the smallest common multiple of y and 4 - (-1 + 4 + -40 - 1)?
462
Let b = -3139/84 + 417/14. What is the common denominator of b and 43/72?
72
Let z = 5442 + -827219/152. Calculate the common denominator of 25/133 and z.
1064
Let z(p) = -9*p - 18. Let i be z(-3). What is the common denominator of (-30)/i*13/18 and -79/18?
54
Let s be (-9 - -11) + -1 + (-15)/3. Suppose r + 4*r - 80 = 0. What is the least common multiple of 5 and 7/4 - s/r?
10
Let a = -231 + 389. Let y = 85 + a. Calculate the common denominator of (0 + 1)/(30/y) and 70/9.
90
Let n(v) = 2*v**3 + 22*v**2 - 3*v + 14. Let s be n(-11). Suppose -179 = 4*m - 71. Let r = m + s. What is the least common multiple of 14 and r?
140
Let l(u) = -455*u**3 + 1. Let c be l(1). Let h = 18181/1494 + -2/747. Calculate the common denominator of h and c/(-40) + (-5)/20.
30
Let f = 947/2 + -4781/10. What is the common denominator of f and 17/4?
20
Let t = 2 - -1. Suppose -4*l + 0*l = -t*b + 23, -32 = -3*b - 5*l. Suppose -1 = -2*o + b. Calculate the smallest common multiple of 9 and o.
45
Let a = -15 - -20. Calculate the common denominator of -73/20 and (-297)/30 - 1/a.
20
Suppose 39*k - 324 = 534. Suppose 3*h = 2*r + 6 + 18, 0 = h - 2*r - 4. Calculate the least common multiple of k and h.
110
Let u = 91 + 67. Calculate the lowest common multiple of 16 and u.
1264
Suppose -6*t + 2*t = -16. Suppose 0 = -5*w - 2*l + 14, t*w - 2*w - 6 = -l. Calculate the smallest common multiple of w and (13/13)/(1 - 6/8).
4
Let d(z) = 20*z + 10. Let x be d(-6). What is the common denominator of ((-303)/30 - 1)/(-1) and (1/(-3))/(x/(-3597))?
10
Suppose -b + 4*n + 128 = 0, 0 = 32*b - 28*b - 4*n - 452. Calculate the least common multiple of b and 36.
108
Let y be 1*8/(-6)*(1 - -2). Let r(f) = 6*f**2 + 6*f - 2. Let h(p) = -p**2 - p. Let s(w) = -4*h(w) - r(w). Find the common denominator of -26/9 and s(y).
9
Let q(s) = 3*s**2 + 3*s - 3. Let k(i) = 2*i**2 - 3*i. Calculate the lowest common multiple of k(2) and q(2).
30
Let q = 566137/27 - 41931/2. What is the common denominator of q and -103/72?
216
Let u be ((-2155)/(-10))/((-90)/(-4)). Let b be (1 - 0) + 140/(-18). Let s = u + b. Calculate the common denominator of s and 5/7.
35
Let z(u) = u**3 - 4*u**2 - 3*u. Let l = 1577 - 1575. Calculate the lowest common multiple of l and z(5).
10
Let c(r) = 2*r**2 - 2*r + 1. Let m be c(1). What is the common denominator of -91/15 and ((m - 1) + 21)*46/1518?
165
Suppose 4*t - 144 - 24 = 0. Let p be (24/t)/((-4)/(-14)). Calculate the least common multiple of (-7)/(-1) - (p - 1) and 2.
6
Let y be 159615/(-105)*(-2)/(-3). Let w = y + 1017. Calculate the common denominator of 23/16 and w.
112
Let a(q) = 2*q**2 + 3*q + 4. Let s be a(-2). What is the common denominator of -91/18 and -2 + s/16*296/36?
36
Let x(a) = a**3 + 2*a**2 - a - 2. Let z be x(-1). Suppose z = 3*c - 2*j - 39, 4*c + 5*j + 1 - 30 = 0. What is the lowest common multiple of c and 7?
77
Let k = -52 - -57. Suppose k*d - 12 = 238. Calculate the least common multiple of 15 and d.
150
Let g(q) = -q**3 + 4*q**2. Let v be g(4). Suppose v = -0*t - 4*t - 4. What is the lowest common multiple of 9 and t/((-1)/5 - 0)?
45
Suppose -17 = 3*n + 28. Find the common denominator of (-33)/(-42)*(-7 + 6) and 43/(n*16/12).
140
Let o(j) = 2*j - j - 2*j. Let l = 16 + -19. What is the least common multiple of 15 and o(l)?
15
Suppose 0 = -2*h - 52 - 20. Calculate the common denominator of h and -27/101.
101
Let n(z) = 10*z**3 + z**2 + 3*z - 4. Calculate the least common multiple of n(2) and 20.
860
Suppose 127 = r - 301. What is the least common multiple of 40 and r?
4280
Let y be (-12)/(-24) - (-17)/2. Let x be y*5/((-60)/(-8)). Calculate the smallest common multiple of 21/x - (-6)/(-4) and 14.
14
Let u = -236 + 290. Calculate the smallest common multiple of u and 9.
54
Let k = 1025/88 + -23/44. Let o = 88 + -617/7. Calculate the common denominator of o and k.
56
Suppose -3*h = 4*k - 80, k - 28 = -2*h + h. Suppose 0 = -0*s - 2*s + h. Calculate the least common multiple of s and ((-1)/(-3))/((19/(-36))/(-19)).
48
Let q be 0 - (-1)/((3/2)/3). What is the common denominator of -17/15 and q/17 + 9044/(-3179)?
165
Let k(z) = 6 - 31*z - 12*z + 2 - z**3 - 17*z**2. Calculate the smallest common multiple of k(-14) and 10.
110
Let w = 720005/1492014 + -1/69396. What is the common denominator of 117/40 and w?
1720
Suppose -4*s - 6*s = -700. What is the lowest common multiple of s and 35?
70
Suppose -2*j - 69 = -79. What is the least common multiple of (1 + -5 + j)*6 and 6?
6
Let d be ((-6447)/9)/(3/9). Let i be (-20)/(-5) + d/537. Let c = 8531/716 - i. Calculate the common denominator of 93/8 and c.
24
Suppose 35*q - 312 = 9*q. What is the smallest common multiple of q and 2606?
15636
What is the common denominator of 1/2 + 237/24 and 81/4 - (4 + -1)?
8
Suppose -4*g - 5*p + 2*p = -3446, -5*g = -5*p - 4290. What is the common denominator of (-3)/(-30)*g/32 and (-1)/6*(-423)/(-12)?
16
Let l(v) = -43*v + 48. Suppose 0 = -t + 16. Calculate the smallest common multiple of t and l(1).
80
What is the common denominator of (-9589)/4683 + 2/15 and 2*134/(-24)*-1?
210
Suppose 17*q - 802 - 82 = 0. What is the smallest common multiple of q and 36?
468
What is the common denominator of 119/220 and (-192)/336 - (-32)/(-385)?
220
Let i = -992 + 433. Let m = -2305/4 - i. Let z = -101869/18 - -5658. Calculate the common denominator of m and z.
36
Suppose 0 = 7*c + 385 - 455. What is the lowest common multiple of 16 and c?
80
Let j = -1444 + 1454. What is the lowest common multiple of 1 + -5*(1 + -2) and j?
30
Suppose -y - 28 = y - 4*p, 3*y + 48 = 4*p. Find the common denominator of 55/18 and 285/(-36)*(-28)/y.
36
Find the common denominator of -101/10 and (-1)/((-10)/(-4)) - 9724/15640.
230
Calculate the common denominator of -71/276 and 134/27 + 16 + -21.
2484
Let z = -36570083/10695448 - -8/7864