and 6042/1008 + 8/(-28).
120
Let k(x) = x + 1. Let w be k(3). Suppose 2 = -3*b - w*g + 49, 0 = 3*b + g - 41. Let t = b + -1. Calculate the lowest common multiple of t and 22.
132
Let f be -1 + (32/11)/1. Let z = f - 1271/176. Calculate the common denominator of z and -23/16.
16
Let p(u) be the second derivative of -u**3/3 - 2*u. What is the smallest common multiple of p(-3) and 18?
18
Let b = 31 - 25. Calculate the least common multiple of b and 34.
102
Let z(w) = -3*w + 6. Calculate the least common multiple of 6 and z(-4).
18
Suppose -12*n + 128 = -4*n. Calculate the least common multiple of 16 and n.
16
Let q = -11 + 17. Suppose q*a = 2*a + 32. What is the smallest common multiple of a and 11?
88
Calculate the common denominator of 12/8 - 168/(-27) and (-4)/(-2) + (-243)/(-180).
180
Let v be 4*(-4)/(16/11). Let i(w) = -w**2 - 16*w - 10. Let a be i(v). Calculate the common denominator of a/12*2/20 and 1/2.
8
Find the common denominator of 97/4 and 2/((-87)/(-114) - 1).
36
Let m(j) = 2*j**3 + j**2 - j + 4. Calculate the smallest common multiple of 46 and m(2).
506
Let x = 108/5 + -1211/60. Calculate the common denominator of x and 73/8.
24
Let a(b) = -17*b + 39. Let l(q) = -9*q + 20. Let u(n) = -6*a(n) + 11*l(n). What is the lowest common multiple of u(12) and 22?
22
Let f(j) be the third derivative of -j**5/15 + j**4/8 + 7*j**3/6 - j**2. Let l be f(7). What is the common denominator of (-4)/14 - (-939)/l and 67/8?
8
Suppose 0 = 2*t + 5 - 37. Suppose 0 = -2*g + 4*g - t. Calculate the smallest common multiple of g and (-10)/(1/2*-1).
40
Suppose 4*n - 11 = 5*a, 0*a = -3*a + 3. What is the least common multiple of 6 and (-2 - -5) + 76/n?
66
Let l = 25231 - 1715747/68. What is the common denominator of 43/2 and l?
68
Let k = -12 + 13. Suppose -4*s + 26 = -5*x, 0*s + x = s - 6. Calculate the least common multiple of 20 and s*k + (-8)/(-4).
60
Suppose -3*x - 122 = -5*t, -t - x + 76 = 2*t. Suppose t = f + 105. What is the common denominator of -99/20 and (-872)/f*2/2?
20
Let m(d) = d**2 + 6*d - 5. Let l(p) = p**2 + 1. Let f be l(2). Let n be m(f). Let q = -30 + n. Calculate the lowest common multiple of q and 6.
60
What is the common denominator of 3 - -1 - 9/(-198) and -3/22?
22
Suppose 8*n = 4*n + 32. Calculate the least common multiple of n and 8.
8
Let b be 13841/3*(-1)/(-106). Let f be -2*(-2 + (-316)/(-159)). Let x = f - b. What is the common denominator of x and 103/22?
22
Let w = 3 - 5. Let b be (-9)/(-2) - w/(-4). Suppose -b*a + 12 = -a. Calculate the least common multiple of a and 8.
8
Let j = 9 - -3. Calculate the common denominator of 2/(-8) - 119/j and 0 + 158/8 - 1.
12
Let z = 33 + -19. Let i be 17/5 - 6/15. Suppose -3 = f - 2*q - 9, i*f - 43 = q. Calculate the least common multiple of f and z.
112
Let s(m) = -m**3 - 5*m**2 + 5*m + 14. Suppose 0*l + 2*l - 32 = 0. Calculate the least common multiple of s(-6) and l.
80
Let c = 15 - 6. Calculate the least common multiple of 10 and c.
90
Let b = 38301/2 - 79399/4. Let k = b + 695. What is the common denominator of k and 13/8?
8
Let x be 23/4*(-4)/(-1). Find the common denominator of -1 + 3/(24/x) and 89/4.
8
Let a = -1 - -23. Suppose 5*t + 5*n = 4*t + a, 0 = t - 3*n + 2. Suppose -3*f + 2*f - 4*d = 1, -4*f = -5*d - 17. What is the least common multiple of t and f?
21
Let r = -36 - -30. Calculate the smallest common multiple of r/(-4) - (-13)/26 and 11.
22
Let y be 39 + (-4 - -2)/2. Suppose 8*d - y = -3*a + 6*d, -2*a + 2*d = -32. Suppose -q = -6*q + 20. What is the least common multiple of q and a?
28
What is the common denominator of (-7)/21*657/(-24) and -87/2?
8
Let x = 108/67 - 3343/536. Find the common denominator of -47/3 and x.
24
Suppose -8 = 4*t - 8*t. Calculate the lowest common multiple of t and 7.
14
Suppose -3*o = 2*o - 55. Let w = o - 5. What is the common denominator of w/(-36)*(-438)/(-10) and 33?
10
Let p be (-22)/4*(-36)/(-6). Calculate the least common multiple of 9 and (-6)/p - 64/(-11).
18
Let b be 3 - (-4 - (-11 - -4)). Suppose 34 = 2*a - 5*w, b = a - w - 14 + 3. Calculate the smallest common multiple of a and (34 - 1)*(-1)/(-3).
77
Let a = -8859 + 5411. Let u = -41293/12 - a. What is the common denominator of u and (2/3)/((-128)/204)?
48
Suppose -5*m + 16 = -m. Suppose 0*w = m*w - 12. Suppose -2*n + w*y + 10 = 0, 2*n - y - 7 - 7 = 0. Calculate the lowest common multiple of 11 and n.
88
Suppose 2*s + 5*b = -s + 92, s + 2*b - 32 = 0. What is the smallest common multiple of 33 and s?
264
Suppose j - 2*f = f + 4, 5*f - 4 = -j. Let d = 6 + -2. Suppose 4*g - v - 40 = g, 3*v + 60 = d*g. What is the lowest common multiple of g and j?
12
What is the common denominator of 107/20 and -65*(6/(-2))/24?
40
Suppose -5*q - 7 = 3*j, 0 = -5*q + 2*q - 4*j - 13. Calculate the common denominator of (6/(-20))/q*37 and -14/9.
90
Let s(t) = 15*t - 2. Let w(i) = 7*i - 1. Let u(z) = 6*s(z) - 13*w(z). Let x be u(3). Find the common denominator of 105/22 and 142/18 + 1/x.
198
Let x(y) = 4*y + 2. Let m = 0 + 4. Let q be x(m). Calculate the common denominator of -1 + 41/q - 1 and 73/20.
180
Let f(r) = -2*r**2 - 4*r - 2. Let d be f(-2). Let m be 14836/360 + d/4. Let l = -188/5 + m. What is the common denominator of l and 29/7?
63
Let u(d) = d**2 - 13*d + 8. Calculate the least common multiple of 8 and u(13).
8
Let z = -2 - -5. Suppose -z*c + 32 = -4*b, 4*b - 5 = -5*c + b. What is the least common multiple of 10 and c?
20
Let y be ((-204)/(-16))/(3/8). Suppose -5*m = -144 + y. Let f = 26 + -16. What is the least common multiple of m and f?
110
Let w(d) = -21*d + 2. Calculate the smallest common multiple of 8 and w(-2).
88
Let m(j) = -j**2 - 6*j - 4. Let s be m(-3). What is the lowest common multiple of 2 and 11 - (s/1 + -2)?
8
Let w be 18/(2 - (-69)/(-30)). Let h = 13097/2223 - 2/741. Calculate the common denominator of 2/10 + (-238)/w and h.
18
What is the common denominator of 269/(-144) + (-4)/(-18) and 103/14?
336
Let g = 12334 - 271285/22. Calculate the common denominator of g and -23/14.
154
Suppose 32 = g + 4*f, -3*g + 9 = 4*f - 71. Calculate the common denominator of (-3)/g*(-8)/(-12) and 113/6.
12
Suppose -2*y + y = 5*w - 6, 0 = -3*y - 3*w + 6. Calculate the lowest common multiple of 5 and y.
5
Let c = 3 + 33. Suppose 0*a - c = -4*a. Suppose 3*n = l + 2*n, -4*n + 45 = 5*l. What is the least common multiple of l and a?
45
Let z(m) = -m**3 - 9*m**2 + 11*m + 14. Calculate the lowest common multiple of z(-10) and 16.
16
Let d = -71 - -711/10. Find the common denominator of d and 345/36 + (-1 - 1).
60
Suppose -22 = 14*u - 302. Calculate the least common multiple of 12 and u.
60
Suppose 0*d + d - 2 = 0. Let q = 0 + d. Calculate the lowest common multiple of 6 and q.
6
Let n(c) = c**2 + 5*c + 1. Let x be n(-2). Let w = x + 11. What is the lowest common multiple of 22 and w?
66
Let t = -153 - 35. Find the common denominator of t/12*(-2)/(-12) and 21/4.
36
Find the common denominator of 107/10 and (141 + (-3 - -2))*(-12)/90.
30
Let z be (-65)/30 + 2/12. Let h(m) = m**2 + m. Suppose f + 0*f + 9 = 2*k, -36 = -4*k - 4*f. What is the smallest common multiple of k and h(z)?
6
Let o = -230 + 667/3. Let a = o - -52/3. Calculate the common denominator of -26/9 and a.
9
Suppose -2*s - 4 = b - s, 0 = -5*b + 2*s - 6. What is the least common multiple of 14 and (0 - (-12)/(-3))*b?
56
Let y = 3708 + -2328. Suppose -r = -3*r + y. Calculate the common denominator of ((-6)/(-40))/((-36)/r) and 65/18.
72
Let b(c) = c + 9. Suppose -3*p + 4*j + 5 = 0, 5*j = -4*p + 2*j - 35. Let u be b(p). Suppose u = -i + 14. What is the smallest common multiple of 20 and i?
20
Let s = -16583/16 + 1034. Find the common denominator of ((-2)/12)/((-4)/(-462)) and s.
16
Suppose -7*x + 2*x = 3*o + 120, 2*x - o = -37. Calculate the least common multiple of (2/5)/(2/50) and ((-3)/(-1))/(x/(-28)).
20
Let a = -57265/6 - -9522. Calculate the common denominator of a and (124/24*-2)/(2/(-9)).
6
Let m = -53594 + 1232124/23. Let t = m + 6901/414. Calculate the common denominator of t and 101/4.
36
Calculate the lowest common multiple of 1 and -29*(-4)/36 - (-2)/(-9).
3
Let l be (-6)/(-2745)*5*-72. Let w be 4191/(-488) + 2/2. Let y = l + w. Calculate the common denominator of -31/6 and y.
24
What is the common denominator of -43/14 and 285/(-4)