denominator of c and 17/22.
88
Let t be 8212/(-1273)*60/(-160). Let h = t + -118/67. Calculate the common denominator of 27/(-20) + (-1 - 1) and h.
380
Let x = 1501/110 + -72/11. Let w = 252344245/357 + -1413681/2. Let c = 5/119 + w. Find the common denominator of x and c.
30
Let l = -13222 + 13720. Calculate the smallest common multiple of 249 and l.
498
Let j = -59537399/20 - -2973884. Let z = j + 2987. What is the common denominator of 77/40 and z?
40
Calculate the common denominator of (-206)/(-16) + (-9324)/(-8288) and -1 - (1 + 134/(-16)).
8
Let l = -923351/79970595 + -10/22307. Calculate the common denominator of 57/5 and l.
3585
Suppose 0 = -2*w + t - 23, -4*t + t = w + 1. Find the common denominator of (-239)/(-70) - w/(-2) and -28/45.
630
Let f = -10 + 40. Let m be (330/(-6))/(-11)*1. Suppose -5*c + 35*d - 34*d = -73, -d + 67 = m*c. Calculate the least common multiple of f and c.
210
Calculate the common denominator of (-2)/(-3) - (10283/(-7891) + 2) and -14/69.
41883
Suppose 0 = 5*s - 7*u - 24422, -13*s + 2*u = -12*s - 4882. What is the smallest common multiple of s and 9?
14670
Let o be ((-4)/10)/(3747/105). Let f = o + -66029/14988. Find the common denominator of f and -29/6.
12
Let y(z) = z**2 - 10*z - 20. Let l = -29 - -41. Let x be y(l). Calculate the common denominator of (43/10 - x)*-1 and -17/49.
490
Suppose -44*j + 35*j = -504. Calculate the least common multiple of 224 and j.
224
Let q = -33 - 30. Let d = -33 - q. Calculate the lowest common multiple of d and 36.
180
Let v = 142 - 117. Let q(w) = -w**3 + 23*w**2 + 21*w + 59. Let d be q(v). Calculate the common denominator of -6 + (-6)/(-2) + d/(-60) and -7/8.
40
Calculate the common denominator of 4 + 0 - 408/384 and 9/50.
400
Let o = 11 - -7. Suppose -o*t - 54 = -19*t. What is the smallest common multiple of t and -5*(-3 - -2 - (-12)/15)?
54
Let w(m) = 185*m + 225. What is the lowest common multiple of w(-1) and 45?
360
Let m = 205/2 - 102. Find the common denominator of m and (-1)/(-2)*((-137619)/(-4887) + -28).
362
Let u(d) = 3*d - 26. Let i be u(9). Let w be (i - (11 - -1)) + 2. Calculate the common denominator of ((-3)/w)/(28/594) and -107/130.
910
Let u(i) = -2*i**3 + 16*i**2 - i - 19. What is the smallest common multiple of 60 and u(7)?
360
Let u = -494 - -532. Suppose 11*b = -u + 104. Calculate the lowest common multiple of b and 1132.
3396
Let l be (0 - 0)/(-5 - -4). Suppose l = 7*o - 9*o - 68. Let s = -16 - o. What is the smallest common multiple of s and 18?
18
Let v(g) = 8*g + 28. Let n be v(-4). Let i = n - -9. Suppose i*m - 9 = -f + 2*m, 5*f - 4*m = 7. What is the lowest common multiple of f and 37?
111
Let b = 852695/168 + -15227/3. Let c = b - 389/168. Find the common denominator of (-24 + -16)/(-40)*(2 - (-50)/(-32)) and c.
48
Suppose 3*s - 48 = t, -24 = -s - 3*t - 8. Suppose 0 = m - s - 19. Calculate the lowest common multiple of m and 5.
35
Suppose -4*y + 3*w + 22 = 0, 3*w = 5*y - 5 - 21. Suppose 2*o - 9 = -t + 33, -y*t = -2*o + 32. Calculate the smallest common multiple of 35 and o.
140
Let z(j) = -60*j - 265. Let c be z(-14). Let v = -557 + c. Suppose 4*p + k - 57 = 0, -3*p - k + 44 = 1. What is the least common multiple of v and p?
126
Suppose -5*z - 3*n + 152 = 0, -2*z + 64 = -0*n + 2*n. Let o(w) = -32*w - 980. Calculate the smallest common multiple of z and o(-32).
308
Let o be 6270/7 - (-8)/28. Let z be ((-129)/301)/((-2)/4142). Let g = z - o. Find the common denominator of 46/21 and g.
21
Calculate the common denominator of 3/(27/(-63)) + -933*(-66)/8856 and 33/32.
3936
Let j(x) = -21*x + 24. Let r be j(2). Let w(l) = -l**2 - 2. Let v be w(4). Calculate the least common multiple of 24 and r/(-1)*((-12)/v + 0).
24
Let k = -798 - -9547/12. Let o = k - -1525/636. What is the common denominator of o and -18/11?
583
Let n(g) = g**2 - 5*g + 5. Suppose 0 = -4*u + 2 - 10. Let x(v) = -v**2 - 6*v. Calculate the lowest common multiple of n(5) and x(u).
40
Let x = 4403 - 35167/8. Let m = -42 - -45. Calculate the common denominator of x and m/(-33)*-1*23 - -1.
88
What is the lowest common multiple of 7 + -14 + 2 - (-27 - -6) and 914?
7312
Suppose 0 = -4*r - a + 33, 5*r - a = -0*a + 30. Let x be (234/(-63))/((-1)/r). Calculate the smallest common multiple of -10 + x + 0 + 0 and 18.
144
Let c(i) be the first derivative of 11*i**2 + 22*i + 306. Find the common denominator of c(-1) and 2/((-7)/((-609)/(-90))).
15
Let q be 2/(-4)*(10 - 150/15). Suppose -367*u + 391*u - 1008 = q. Let p = -38363/6894 - -7/766. Find the common denominator of u and p.
9
Let w = -1745804/269 - -6490. Let p be -2 + 21323/(-6456)*-2. Let v = w - p. What is the common denominator of v and -37/9?
36
Suppose 0 = -62*d + 61*d - 4*o + 4, d - 4*o - 28 = 0. Suppose -3*h - 2*g + 5 = 0, g = -4*h + 2*h + 3. What is the lowest common multiple of d and 8/(2/(3 + h))?
16
Calculate the common denominator of -13 - 1165766/537768*-6 and 51/2.
6402
Let m(h) = -29*h**2 - 410*h + 16. What is the lowest common multiple of 6/(-21) - (-1558)/14 and m(-14)?
2664
What is the least common multiple of 20 and 4/7 - ((-84)/252 + 3719/(-21))?
1780
Let v = -2091377/18 - -116180. Find the common denominator of v and 2 + 0 - (-214)/(-108).
54
Let c = 9472072/56446677 - 2/383991. Calculate the common denominator of -53/539 and c.
4851
Let m be (-3)/9 - (-490)/(-42). Calculate the common denominator of (0 - (-669)/(-189)) + m/(-4) and 73/36.
252
Let h be (5626/(-87))/(2292/(-61)). Let w = h + -21/191. Calculate the common denominator of w and 4/2 + 51/2.
18
Suppose -4*y = -6*y + 6. Let j be 258/(2*-1) - (y - 1). Let a = j - -189. Calculate the smallest common multiple of a and 18.
522
Suppose 156*g = 48403 + 47264 - 23907. What is the smallest common multiple of 6 and g?
1380
Let k(t) = -t**3 - 10*t**2 - 13*t + 18. Let g(l) = -15*l - 399. Let u be g(-26). What is the least common multiple of k(u) and 9?
54
Let u(z) = z**2 - 50. Let c be u(12). Find the common denominator of 141/c + 104/(-35) and 59/77.
770
Suppose -w - 2 = 2*g, 3*w - 5*g - 2 = 14. What is the common denominator of (-4)/16 - 1*w/(-16) and (1 + -3)/((-582)/(-267) + -2)?
8
Calculate the common denominator of (-854)/(-1652)*5/(-5) and 9/10.
590
Calculate the common denominator of 180/27 - 7 - (-475)/1524 and ((-148)/(-2220))/(-1 + 175/171).
2540
Let t = -619 - -230. Let l = t - -407. Calculate the lowest common multiple of l and 42.
126
Let w = -443809/27 + 16440. Let r = -27152/11 + 570236/231. Find the common denominator of r and w.
189
Let g(d) = -d**2 - 8*d + 3. Let s(y) = -2*y + 1. Let j(a) = -2*g(a) + 6*s(a). What is the least common multiple of j(-3) and 1?
6
Suppose -s - 79 = -81. Suppose -5*t + 112 = -2*c + 6*c, -4*c + 124 = s*t. Calculate the smallest common multiple of c and 6.
66
Let n be 9632/((-10)/(-85)*1). Let x = 11789521/144 - n. What is the common denominator of x and -53/18?
144
Let t = -24567786043/72 + 341235857. Let g = -16607 + t. Calculate the common denominator of -121/40 and g.
360
What is the common denominator of 0 + (0 - 0 - 1017/882) and -111/70?
490
Suppose -6904*x + 6865*x + 10920 = 0. Calculate the smallest common multiple of x and 1560.
10920
Let b(f) = -2*f**3 + f**2 + 5*f - 3. Suppose q + 2*i = -8, -2*i + 5 = -3*i. Let c be b(q). Calculate the least common multiple of (5/(c/(-6)))/(10/25) and 4.
60
Let g = 24632 - 16609. What is the smallest common multiple of g/2599 + 2/(-23) and 173?
519
Let p = 31056 - 61625. Let m = -1008859/33 - p. Calculate the common denominator of -16/93 and m.
1023
Let w = 52 + 0. Let y = w + -45. Find the common denominator of (14/(-3))/y + 277/(-30) and -73/3.
30
Let a = 13 - 9. Let x = -33 - -72. Suppose -4*s = -0*s - 4, -x = -2*i - 3*s. What is the least common multiple of i and a?
36
Let w(t) = 0*t - 105 + 96 - t. Let h be w(-9). What is the common denominator of 65/(-36)*2 - h/(-1) and -61/21?
126
Let g be 3/(-18) + (-1)/(-6). Suppose 3*c = 926 - 914. Suppose g = c*z - 12*z + 264. Calculate the smallest common multiple of 15 and z.
165
Let z = -783275 + 2016149699/2574. Find the common denominator of -17/1872 and z.
20592
Suppose 0 = -12*u - 6480 + 33096. Let g = u - 8807/4. What is the common denominator of -2/13 and g?
52
Let g = -6377/29 - -219. Let s be 0 - (2 + 7314/(-1740) + -7). 