i**3 - 4*i**2 - 2*i - 4. Let u be q(7). Let l = u - 288. Calculate the common denominator of (l/(-30))/((-10)/(-5)) and 43/22.
220
Let p = 5507/1156 - 4/289. Let r be 0 + (1 - (-21510)/(-21514)). Let v = r + 742217/86056. What is the common denominator of v and p?
8
Suppose 167 + 43 = 14*s. Suppose 0 = -3*c + 7 + 20. Calculate the smallest common multiple of c and s.
45
Suppose 1901 + 5514 = 5*n. Let q = -2079 + n. Let v = q + 2357/4. What is the common denominator of v and -2/11?
44
Let p(d) = -d + 1. Let g be p(-2). Suppose 6 + 5 = g*x + j, -5*x - j = -15. Calculate the common denominator of x/10*(-1095)/18 and -35/3.
6
Let m(k) = -k**3 + k**2 + 2*k + 2. Suppose 0 = -0*d + d - 3. Suppose d*x = x + 12. Calculate the smallest common multiple of x and m(-2).
30
Let q(b) = -8*b - 480. Suppose 3*f + 2*f = x - 76, -4*x = -2*f - 34. Let h = f - -26. What is the least common multiple of q(-61) and h?
88
Suppose -3 - 2 = -5*y. Calculate the smallest common multiple of 4 and (-11 - -6)/5*(y + -3).
4
Let l(m) = m**2 + 20*m + 4. Let r be l(-10). Find the common denominator of (-12)/18 + (-377)/60 - -3 and 4/(r/(-380)) - 1.
60
Let a(x) = -10*x**3 + 3*x**2 + 4*x + 3. Let s be a(-3). What is the common denominator of -59/34 and (1593/s)/((-6)/4)?
272
Let t = 76 - 72. Calculate the lowest common multiple of 126 and t.
252
Let y = 422 - 420. Calculate the smallest common multiple of y and 14.
14
Let r be 12/(-30) - 4/(-10). Suppose r*h = -h + 1. What is the lowest common multiple of h and 1?
1
Let w = -611357/36 + 16984. What is the common denominator of w and 49/15?
180
Suppose -r - t - 42 = r, -r - 24 = -t. Let m = r + 44. Let j(f) = -f**2 - 14*f - 15. Calculate the least common multiple of m and j(-11).
198
Let t = -3/1261 + 24049/37830. Calculate the common denominator of t and -82/39.
390
Let x(i) = i**3 + 13*i**2 + 12*i + 4. Calculate the lowest common multiple of 322 and x(-12).
644
Suppose -p = -2*p + 18. Calculate the least common multiple of p and ((-9)/(-72)*-2)/((-2)/72).
18
Suppose -3*r = -3*u + 2*r - 38, -2*r = -4*u - 60. Suppose -97 = -5*f - 12. Let m = u - f. Find the common denominator of 14 and m.
1
Let x(o) = o**3 - 6*o**2 - 3*o + 4. Let d be x(7). Calculate the least common multiple of 10 and (-21)/6*d/(-14).
40
Let x = 18137/6 - 3003. Calculate the common denominator of x and 32/129.
258
Let h(f) = 2*f + 3 + f + 3 + 2. Let c be h(-6). What is the lowest common multiple of (2 + 2)*c/(-4) and 8?
40
Suppose 25670 + 16791 = -g. Let v be (-16 - -18)/((-12)/g). Let z = v + -7061. What is the common denominator of -19/20 and z?
60
Let p = 2137 + -12857/6. Let m = 46/83 - -85/1494. Calculate the common denominator of p and m.
18
Let b = 18695/4 - 4649. Let m = -10737/7 - -1533. Find the common denominator of b and m.
28
Calculate the common denominator of 7/6 and (-110)/(-3)*(-27)/(-1170)*4.
78
Let v be (240/50)/((-9)/(-30)). Let f(t) = -5*t. Let j be f(-1). Suppose -j*c + v = -14. What is the least common multiple of 17 and c?
102
Let i(q) = 2*q**2 - 40*q + 107. Suppose n + 3 = 5. What is the lowest common multiple of i(17) and n?
10
Suppose -174 = 603*q - 606*q. Calculate the least common multiple of q and 20.
580
Let s(o) = -7*o + 3 + 5*o + 0*o + 3. Calculate the smallest common multiple of 4 and s(-2).
20
Let a(s) = -2*s - 2. Let u be 4/28 - 102/(-21). Let o be a(u). Let z = 16 + o. What is the lowest common multiple of 4 and z?
4
Suppose 94 = 20*z - 126. Let g(o) = -7*o + 1. Let v(p) = -p. Let j(t) = -g(t) + 4*v(t). What is the least common multiple of z and j(4)?
11
Suppose -7 = -0*b - 3*b - 4*x, 0 = -5*x - 10. Suppose 32 = b*a - 2*y, -2*a = a + 2*y - 16. What is the lowest common multiple of a and 14?
42
Let t be 720/51 - 18/153. Calculate the common denominator of ((-60)/9)/4*t and 2.
3
Suppose -4*f = 2*u + 24, -3*f - 33 = 5*u - 2*u. What is the common denominator of 69/10 and 1420/8*(-1)/u?
20
Let w be (-15)/(-25)*995/(-2). Let o = -13165/44 - w. What is the common denominator of o and 67/32?
352
Let v = -70 + 205. Calculate the common denominator of ((-1935)/v)/(((-6)/(-2))/1) and -21/8.
72
Calculate the common denominator of -63/8 and -7 + 12 + 99/(-12).
8
Let n = 166 + -2589/16. Calculate the common denominator of (-4539)/(-1632) + 1/(-4) and n.
32
Let f = 135211/12 - 11278. Find the common denominator of f and -1/48.
48
What is the common denominator of -103/384 and (-96)/(-864) - (-790)/72?
384
Suppose 0 = 6*a - 4*a - 144. Calculate the smallest common multiple of 64 and a.
576
Suppose 3*x + 5*t + 0*t + 530 = 0, 0 = x - t + 174. What is the common denominator of (-266)/20 - (-2 + -1) and x/(-110) + 9/(-3)?
110
Suppose -o + 4*q = -269, 4*q + 280 = 2*o - 250. Let m = o - 2613/10. What is the common denominator of (-3)/(3 + 190/(-62)) and m?
10
Let f(k) = -k**2 - 13*k - 18. Suppose -3*n + 4*m - 33 = m, -2*n - 5*m - 22 = 0. What is the smallest common multiple of f(n) and 44?
44
Let t be -164*(-6)/(-8)*1. Let r = 450 + t. Find the common denominator of -10/9 and (r/3)/(3 + -9).
18
Let p(s) = s**2 + 24*s - 1221. Let l = -11 + 27. Calculate the least common multiple of p(-49) and l.
16
Suppose -t + 41 - 33 = 0. Calculate the least common multiple of 16 and t.
16
Let c be ((-876)/10)/2 - 20/(-25). Let b = 47 + c. What is the lowest common multiple of b and 12?
12
Let j(s) = s**2 - 26*s - 147. Calculate the least common multiple of 16 and j(-9).
336
Let p = -1845 - -7433/4. Let d = -25351/66 - -3996/11. Find the common denominator of d and p.
12
What is the common denominator of (-944)/14400*-3 - (-1)/(-4) and 71/345?
1725
Let l = 1761/21190 - -3/326. Find the common denominator of 23/10 and l.
130
Suppose 0 = 3*i - 12, 2*i = 4*y - 3*y - 48. Calculate the least common multiple of 154 and y.
616
Let c = 19755 - 40359/2. Let w = c + 7495/18. What is the common denominator of 59/5 and w?
45
Let v be (7/(-14))/(1/(-4)). Suppose 0 = v*y - 423 - 817. Calculate the common denominator of 83/4 and ((-3)/15)/((-8)/y).
4
Suppose -2016 = -3*l - 11598. Let n = l - -22402/7. Calculate the common denominator of n and (-4)/((-72)/(-51)) - -3.
42
Let y = 3058039/140 + -21843. Let w = y + -3/35. Find the common denominator of w and 813/(-714) + (-8)/(-28).
340
Suppose p + 0*p - 8 = 0. Let g = p + 0. Calculate the least common multiple of 10 and g.
40
Let t = 2 - 5. Calculate the common denominator of ((-1)/t)/(8/(-106)) and 173/(-4) + (-4)/16.
12
Suppose -n - 3*c + 13 = 0, -c = c - 6. Suppose 2*g = -n, -3*m - g - 1 = -5. What is the least common multiple of 4 and (m/(-2))/(7/(-7))?
4
Suppose -67*m = -57*m - 20210. Calculate the least common multiple of m and 3.
6063
Let x(g) be the second derivative of g**4/12 + 5*g**3/3 - 3*g**2/2 - 7*g - 1. What is the smallest common multiple of 20 and x(-11)?
40
Let k be (-1)/56*-4 + -4. Let m = k - -583/70. Calculate the common denominator of m and 57/2.
10
Let q = -5487283/84 + 65326. Calculate the common denominator of 17/21 and q.
84
Calculate the least common multiple of 108 and ((-264)/154)/(58/(-56) - -1).
432
Let m(c) = -2*c**2 - 13*c - 9. Let g be m(-5). Let d = g + -14. Let f = 27 + d. What is the least common multiple of f and 11?
209
Suppose -202 = 4*j + 142. Let h = j + 106. Calculate the lowest common multiple of 20 and h.
20
Let h be (-4)/10 + 3388/(-80). Let i = 29/4 + h. Calculate the common denominator of i and -32/9.
18
Let p = -96 - -107. Suppose -p + 5 = -2*z. What is the lowest common multiple of 6 and z?
6
Suppose 5*a = 2*v - 209, 5*a - 3*a = v - 107. Calculate the lowest common multiple of v and 4.
468
Suppose u - 6*u + 20 = 0. Suppose -u*q + 5 = 1. What is the least common multiple of (16/28)/(88/28 + -3) and q?
4
Let r(g) = -g**3 - 7*g**2 - 8*g. Calculate the least common multiple of (20 + -62)/(-2 - 0) and r(-6).
84
Let m(d) = d**3 - 26*d**2 + 31*d - 136. Let f(z) = -3*z - 1. What is the lowest common multiple of f(-5) and m(25)?
14
Suppose -2*x - 48040 = 3*x - 3*z, 4*x + 3*z = -38459. Let l = x + 172885/18. What is the common denominator of l and -46/15?
90
Let t = 204 + -84. Suppose 114 = -k + t. What is the least common multiple of k and 15?
30
Let o = 5 - -1. Suppose 0 = o*a - a - 100. Suppose 89*t - 1260 = 19*t. What is the smallest common multiple of t and a?
180
Let c(l) = -l - 1. 