)*1.
65
Let k(g) = g**2 + 18*g - 9. Let j be k(-18). Let b be ((-76)/8)/(2/(-4)). Let x = j + b. What is the smallest common multiple of x and 40?
40
Calculate the common denominator of (-3)/(3 + -3 + 4/20) and -127/54.
54
Let f(z) = -2*z - 13. Let u be f(-9). Suppose u*t = 10 + 30. Calculate the smallest common multiple of 18 and t.
72
Let w(m) = -2*m + 4. Let q = -15 + 5. Let v be w(q). Suppose 0 = 8*d - 2*d - v. What is the lowest common multiple of d and 16?
16
Let z(n) = -4*n**3 + n**2 + n. Let i = 20 - 16. Suppose -i*r + 30 = -26. What is the lowest common multiple of z(-1) and r?
28
Let j = 1891/7 - 25987/70. Let a = j - -688/5. Find the common denominator of a and 47/(-2)*4/(1 - 5).
2
Suppose 5*u + 25 - 65 = 0. Let i be (-1 + -7)*u/(-8). What is the common denominator of 41 and (-673)/(-85) + i/(-68)?
5
Let q(f) = -6*f**2 - 5*f - 3. Let a be q(-3). Let z = a + 52. Suppose -4*w = -0*w - 40. What is the least common multiple of w and z?
10
Calculate the lowest common multiple of 7/((-155)/(-186)*(-6)/(-170)) and 18.
2142
Let r be 3/97896*(-4)/3. Let x = -8941799177992894/1808468711052075 - -4/49262311325. Let o = r + x. Calculate the common denominator of -103/18 and o.
18
Let w(t) = 1 + t - t**3 + 2*t**3 - 2 + 5 - 5*t**2. What is the least common multiple of w(5) and 4?
36
Find the common denominator of 32/(-240) - (-546)/220 and -29/22.
66
Suppose -5*x - 148 = 4*u - 0*x, 5*x - 76 = 3*u. Calculate the least common multiple of ((-3)/(-2))/((-6)/u) and (0 + 2 + -4)/(29/(-232)).
16
Let n = 4/26791 - 2116985/3322084. Calculate the common denominator of -11/4 and n.
124
Let w = 32 + -27. Suppose -y + 3*d = 2 - 17, 0 = -y + w*d + 9. Find the common denominator of ((-66)/21)/(y/49) and 41/10.
60
Let m(u) = -u**3 - 5*u**2 - u. Calculate the lowest common multiple of m(-5) and 70.
70
Let y = -24 - -13. What is the common denominator of -1*3 + (-49)/y and -69/2?
22
Let v(l) = -l**2 + l - 5. Let h be v(-4). Suppose 4*a = -69 - 71. Let n = h - a. What is the lowest common multiple of n and 2?
10
Let p(m) = m - 12. Let h be p(13). Let n = -3 - h. Find the common denominator of 25/14 and (-61)/33*(-6)/n.
154
Let r be 68/(-18) + 2/(-9). Calculate the lowest common multiple of (26/4)/((-1)/r) and 6.
78
Let f = -93/130 - 17/78. Find the common denominator of 43/14 and f.
210
Let q = 19665/1108 + 1/554. Calculate the common denominator of q and 95/72.
72
Let m be 4/12*104953/1381. Let f = -1/1381 - m. Calculate the common denominator of -31/14 and f.
42
Let u = 153613/1214 + -21/607. Let s = -137 + u. Let t = 154/13 + -1477/117. Find the common denominator of s and t.
18
Let r(a) = -a**3 + 14*a**2 - 16*a + 43. Suppose -2*q + 48 = 2*q. Calculate the least common multiple of r(13) and (-8)/(-6) - (-8)/q.
4
Suppose 3*k - 5*t - 301 = 0, -2*k - 3*t + 88 = -81. Calculate the smallest common multiple of k and 4.
92
Let p be -2 - ((-480)/6 + 0). Suppose 9*z - 12 = p. What is the least common multiple of 18 and z?
90
What is the least common multiple of 36 and 133 - 21/((-30)/10)?
1260
Let c = 75 - 27. Let d = c - 23. Calculate the common denominator of -42/5 and (10/d)/((-9)/285).
15
Suppose -9*f - 110 = -19*f. Let x(k) = k**3 - k + 1. What is the least common multiple of f and x(2)?
77
What is the lowest common multiple of 1 + 124 - (-15 + 10) and 130?
130
Suppose 0*b + 28 = -5*b + 4*n, 5*b + 4*n = -12. Let f be 10*(-2)/b - -1. Suppose f*c - 82 - 14 = 0. What is the least common multiple of 14 and c?
112
Suppose 782*g + 1406 = 801*g. What is the lowest common multiple of 2 and g?
74
Let l = 16 - 31. Let o be (-210)/(-20)*(-2)/(-3). Let d = o - l. What is the least common multiple of d and 18?
198
Let o = 4224179/638946 + -2/35497. Calculate the common denominator of 1 + ((-75)/(-216))/(-1) and o.
72
Suppose 0 = g - 0*g + 5*x + 89, g = -3*x - 91. Let c be (g*(6 - -1))/(-1). Let h = c + -13063/20. Find the common denominator of h and -47/12.
60
What is the common denominator of (-31*1)/(-36 - -46) and -83/14?
70
Suppose 6*r - 10*r = -16. Let q = 66 - r. Suppose q = 5*l + 12. What is the lowest common multiple of 14 and l?
70
Let r = -848623/30 + 28282. Find the common denominator of 35/228 and r.
1140
Find the common denominator of 65/81 and 2 - 208/33 - 10/(-5).
891
Let m = -18 + 146. What is the least common multiple of 288 and m?
1152
Let s = -1179/4 - -21119/72. What is the common denominator of 109/36 and s?
72
Let x be 15163/(-7)*(-18)/12. Let y = x - 3251. What is the common denominator of -81/56 and y?
56
Suppose -5*y = 4*k - 4*y - 9, -4*y = 4*k - 24. What is the common denominator of (-97)/66 + (-30)/45 and k - (-2)/64*-82?
176
Let s(y) = y + 40. Calculate the least common multiple of s(-10) and 33.
330
Let h(t) = t + 6. Let u be (-24)/(-108) - (-76)/(-18). Let p be (2*u)/(-2) - -2. What is the lowest common multiple of h(p) and 26?
156
Let y be (-3)/(-9)*9 - -49. Find the common denominator of 1*6/4*-1 and 8/y - 707*(-2)/(-572).
22
Let b be ((-9)/6)/((-5)/114). Let u = -1201/30 + b. Find the common denominator of 65/8 and u.
24
Let i = 20485/9 - 2270. Calculate the common denominator of (-1572)/34 - (-1164)/4947 and i.
9
Let f = -122 - -62. Let s = f - -62. What is the smallest common multiple of s and 6?
6
Let w = -40193 + 1125519/28. Find the common denominator of w and -109/28.
28
Let l(f) = f**2. Let u be l(-2). Suppose 0 = u*d + 2*d - 54. Calculate the lowest common multiple of d and 15.
45
Let l = -37518211/3824346 - -1/65937. Let b = l + -20/29. Find the common denominator of b and 29/8.
8
Let c = -1830 + 36507/20. Find the common denominator of c and 41/10.
20
Let u be -5*4/(-10)*-2. Let m = 1695 - 894. What is the common denominator of -137/6 and u/10 + m/(-180)?
60
Let q = 55 - 111. Calculate the common denominator of 164/q - (-2)/7 and 1/14.
14
Suppose -9*r = -16*r - 1400. Let c = r + 4001/20. Find the common denominator of c and -19/2.
20
Let x(c) = -c**3 + 16*c**2 + 18*c + 25. Suppose 2*g + 3*n = 45, -4*g - 6*n = -5*n - 95. What is the lowest common multiple of x(17) and g?
168
Let w(i) = 17*i**3 - i**2 - i + 1. Calculate the lowest common multiple of w(1) and 8.
16
Let w be 195362/17040 + 11/33. Let t = w - -1/568. Find the common denominator of t and -41/9.
45
Suppose 3*r + 12 = -2*y + y, 20 = -5*r - y. Calculate the common denominator of 83/6 and (172/(-30) + 1)/(r/10).
6
Let z be 4/((-4)/(-41))*(3 + -60). Let q = 13975/6 + z. What is the common denominator of -53/3 and q?
6
Suppose -z + 19 = -t, 3*z - t - 38 = 9. Calculate the least common multiple of (-3 + 46/z)*21 and (2/6)/(2/48).
24
Calculate the common denominator of (-1212)/40*(-6 + 2611/441) and -131/18.
126
Suppose 3*p = 5*m - 217, 5*m = -p - 3*p + 224. Calculate the least common multiple of m and 6.
132
What is the common denominator of 1/22 and -1 + (-132)/(-464)*2/1?
638
Let y(v) = -v**3 - 4*v**2 + 5*v. Let c be y(-5). Suppose -4*h + c*h + 5*l + 26 = 0, -3*h = 3*l - 33. What is the least common multiple of h and 6?
18
What is the smallest common multiple of 120 and 15/(60/56) + (-6)/3?
120
Let w(p) be the second derivative of p**4/12 + 3*p**3/2 - 2*p**2 - p. What is the lowest common multiple of 3 and w(-10)?
6
Suppose 47 = 3*u + 5*s, 5*u - 4*s - 21 - 8 = 0. Let f = 80 - 77. Suppose a = 3*i + 2, -1 = f*i - 4. What is the lowest common multiple of a and u?
45
Calculate the lowest common multiple of 16 and (3*4/(-24))/1*-240.
240
Let d = 853415/532 - 6417/4. Find the common denominator of d and 127/154.
2926
What is the common denominator of 121/12 and (-8271)/2322 + (-3 + 4 - -3)?
516
Let f = -55043/100640 + -1/2720. Find the common denominator of -81/16 and f.
592
Suppose -2*b = -23*l + 18*l + 166, -3*l - 2*b + 106 = 0. Let q(y) = -5*y + 1. Calculate the least common multiple of l and q(-3).
272
Let p be 1 - (2360/1 + -1). Let w = 562296 - 3387961/6. Let f = p - w. Calculate the common denominator of f and -42/11.
66
Let z(i) = -78*i - 1241. Suppose k - 6 = -k. What is the smallest common multiple of z(-16) and k?
21
Suppose 3*r - 4 = 11. Let h = r - 3. What is the smallest common multiple of h and 24?
24
Let c = 25148 + -754271/30. What is the common denominator of 127/42 and c?
210
Let r(h) be the second derivative of h**5/20 - h**4/3 + h**3 - 2*h**2 + h. Let d = -373 