be (-1)/(-4) + 1/(-4). Let i(p) be the first derivative of p**4/4 + 6*p + 46. What is the smallest common multiple of 6 and i(b)?
6
Let h be (30/(-8))/(6/16). Let y = 6 + h. What is the common denominator of -81/22 and (-394)/(-72) + y/(-16)?
198
Let w(k) = k**3 - 8*k**2 - k - 2. Let x be w(8). Let b = x - 32. Calculate the smallest common multiple of 2 and (-26)/(-6) - (-14)/b.
4
Let f(d) be the second derivative of 2*d**3 + 46*d**2 + 7*d + 6. Let k(j) = -j**3 + j + 12. Calculate the smallest common multiple of f(-7) and k(0).
24
Let m(p) be the third derivative of -7*p**4/24 - p**2. Let i(u) = -u**3 + 7*u**2 + 20*u - 16. Calculate the least common multiple of i(9) and m(-2).
14
Suppose i - 63 = 33. Suppose -u + 8 = 3*u. Calculate the common denominator of u/(-3) + 484/i and -55/3.
24
Suppose 4*u + 5*z = 23, -2*u + 3*z + 43 = 4. Calculate the least common multiple of 2 and ((-56)/u)/((-8)/(-6) - 2).
14
Let g be (57 + 13)/((-52)/6). Let x = g + 120/13. Find the common denominator of 23/9 and x.
117
Let m(d) = -8*d - 127. What is the smallest common multiple of 20 and m(-19)?
100
Let z = -325 + 1571/5. What is the common denominator of z and (-169)/28 - (-4)/16?
70
Let t = -773 - -1581/2. What is the common denominator of t and -27/3946?
3946
Find the common denominator of -107/14 and (-2)/(-10)*(4 + 583/18).
126
Let q(t) = -8*t**3 - 3*t - 3. Let u be q(-2). Let p = 587/496 + 4/31. Calculate the common denominator of p and 3/(-18)*-1*u.
48
Let f be (-4)/8 - 69898347/(-16). Let b = 4359809 - f. Let x = b - -8840. Find the common denominator of 7/12 and x.
48
Suppose -61*h = -13*h - 1008. What is the lowest common multiple of h and 7?
21
Let i(o) = 113*o - 57. Calculate the smallest common multiple of 11 and i(2).
1859
Let u = 154988359/22 + -7043746. Let j = u + -1180. What is the common denominator of j and (-39)/16 - 3 - 0?
176
Suppose 2*w - 8 = 16. Let u = 8 - w. Let a = u - -11. Calculate the least common multiple of 4 and a.
28
Let o be 1 - (20/(-5) - -3). Suppose l + 4 = i, 15 = 3*i - o*l - 2. What is the lowest common multiple of 67 and i?
603
Let a(z) = z**2 - z - 1. Let l be a(0). Let h(x) = 20*x**3 - x**2 - 2*x - 1. Let b be h(l). What is the common denominator of 23/9 and (-2 - -4)*b/(-35)?
63
Suppose -3*h + 8 = -7. Let c(m) = 12*m**2 - m. Calculate the lowest common multiple of c(1) and h.
55
Suppose -6*k = -3*k - 5*n + 35, -4*k - 4*n - 100 = 0. Let p be (0 - (-32)/6)*-3. Let g = p - k. What is the least common multiple of 6 and g?
12
Suppose 6*x - 10*x + 500 = 0. Suppose -4*o - x = -333. What is the lowest common multiple of o and 12?
156
Let j(l) = l**2 + l - 4. Suppose n - 1 = 1. Calculate the smallest common multiple of n/7 - (-1152)/84 and j(-4).
56
Calculate the lowest common multiple of (-1547)/(-28) - (-6)/8 and 14.
56
Let k(v) = v**2 + 5*v - 34. Suppose 3*s + 188 = 5*h - 127, -h = -3*s - 75. Suppose -5*f + 11*f + h = 0. Calculate the common denominator of 89/8 and k(f).
8
Let i = -2267/3 - -749. Find the common denominator of i and 5/70*(-80)/15*8.
21
Let r = 32539/9 - 3610. Suppose -3*a = -47 - 1. Find the common denominator of (-2 + 34/a)*97 and r.
72
Suppose -2*z + 3*l = -13 - 1, -5*z = 3*l - 56. Suppose 0*y = -3*y + 48. What is the smallest common multiple of y and z?
80
Let d(q) = -148*q - 103. Calculate the lowest common multiple of 75 and d(-1).
225
Suppose 5*x + 18 = 3. Let h = 19 + x. Suppose 5*d = -3*r + 48, -3*d + 2*d + h = r. Calculate the smallest common multiple of r and 16.
16
Let q be 2 - ((-3)/1 + 3). Calculate the common denominator of 1/12*(-21)/q and -8/7.
56
Suppose 0 = -0*g - 5*g + 10. Let u = 9262 + -9222. What is the smallest common multiple of g and u?
40
Let a = -103 - -175. Let t(p) = p**3 + 2*p**2 + p + 50. Let i be t(0). Let b = a - i. What is the lowest common multiple of 24 and b?
264
What is the common denominator of -127/12 and (356/144 - (-10)/(-45))*-3?
12
Suppose -3*j = 3*c - 3, -5*c - j + 2 = -7. Calculate the least common multiple of c and 12.
12
Let b = 76 - 8. Calculate the lowest common multiple of (-3)/(-9) - b/(-12) and -10*(5/(-2) + 2).
30
Let s be (4 + (-250)/84)*-92. Let q = s - -538/7. Calculate the common denominator of -49/2 and q.
6
Let m(v) = -874*v + 14. Let y be m(6). Let p = y + 31495/6. Find the common denominator of -29/30 and p.
30
Suppose r = -4*s + 276, -5*s - 4*r + 145 = -189. Suppose -4*d + 298 = 5*f, f = d - 0*d - s. Calculate the common denominator of 15/4 and 405/d - (-1)/2.
8
Let h be 2/(-8) + (8613/(-12))/(-3). Suppose h = 4*u + 87. Calculate the lowest common multiple of 12 and u.
228
Suppose 414 - 122 = 5*g - 4*o, 3*g = 2*o + 176. Let u = 1134/11 - 17891/176. Calculate the common denominator of (-6)/8*776/g and u.
80
Suppose -4*n - m = -142, m + 107 = 3*n + 2*m. Let v = 24 + -37. What is the common denominator of v/10*n/6 and 13/12?
12
Find the common denominator of (-249)/20*1/(-3) and (-21)/(-49) - 5210/(-420).
60
Suppose -2*p = -4*f + 252, p = -4 + 2. Let v = f + -56. Calculate the least common multiple of v and 2.
6
Let x be (-2444)/(-6) + (-10)/5. Let p = -420 + x. What is the common denominator of p and 36?
3
What is the common denominator of 5/60*(-1 - 159/(-12)) and 57/8?
48
Let n(y) = y**3 - 5*y**2 + 4*y - 6. Let c be n(5). Calculate the smallest common multiple of 16 and c/(5 + 8/(-2)).
112
Suppose -2*s + 5*g - 31 = 0, 5*s + 7 = 5*g - 63. Let q be (-2)/s + (-82)/26. What is the lowest common multiple of 10 and (75/1)/3 + q?
110
Let c = -16 + 30. Let r be 0 + (3 - -1) - c. What is the common denominator of (-4)/r - 438/(-80) and 32/9?
72
Let q be 1*1/(-1)*15. Let m = 20 + q. Suppose -4*c - t + 57 = 0, 0*t = -m*c - 5*t + 75. What is the smallest common multiple of 2 and c?
14
Let x(b) = -b + 20. Let j be x(19). Calculate the common denominator of 44/(-6)*(-27)/48 and (2/(-10)*j)/((-8)/650).
8
Let w = 7928 - 47681/6. Let c = -863/18 - -48. Find the common denominator of w and c.
18
Let u = 2398 + -71947/30. Find the common denominator of 125/102 and u.
510
Let g = -7 + 24. What is the common denominator of g/(-30) - 11/(-55) and -61/27?
270
Let y be (-10)/(-3)*84/35. Let v = y + -16. Find the common denominator of 83/14 and 58/36*8/v.
126
Suppose 3*x = -5*r - 4 - 4, 20 = 4*x - r. Let j(d) = -4 + d + 21 - 2*d + x. What is the smallest common multiple of j(11) and 1?
10
Let n = 15225/8 - 1906. What is the common denominator of -133/12 and n?
24
Let g(w) = -8*w + 3. Let o be g(2). Let u(h) = h**3 - 8*h - 4*h + 24 - 6 + 12*h**2. Calculate the lowest common multiple of 11 and u(o).
55
Let z(w) = 13*w - 90 + 33 - w**2 + 13*w. Calculate the least common multiple of 4 and z(23).
12
Suppose -9*y + 384 + 84 = 0. What is the least common multiple of 16 and y?
208
Let c = -1168 + 2241/2. Let x = 155/2 - 54. What is the common denominator of x and c?
2
Let l be (3 + 0)/((-3)/2). Let f be l/(-5) - 1656/10. Let q = -2819/20 - f. Find the common denominator of q and 67/2.
4
What is the common denominator of (261/(-21))/((-136)/28) and 6/14 - (-8441)/(-1288)?
136
Let i = -1252317 + 10031327/8. Let x = 770 + -2365. Let t = x + i. Calculate the common denominator of t and -39/10.
40
Calculate the common denominator of 118*((-55595)/(-5560) + -10) and 45/8.
1112
Calculate the common denominator of (-14)/(36456/3766) - (-2)/(-12) and -70/9.
279
Calculate the common denominator of ((-63)/(-48))/7*(-876)/54 and 107/96.
96
Let u = -18829/4 - -4707. Let c be ((-509)/(-12))/((-1)/1). Let z = c - -235/6. Calculate the common denominator of z and u.
4
Let h be -2 + -4 + 1 + 0 + 4. Let g be 4/10 - 352/5. Calculate the common denominator of 7/g*(h + 2) and 77/18.
90
Let d(r) = 5*r**2 - 11*r + 12. Let g be d(9). Let h be (122/(-10))/((-1022)/g). Let x = h - -2/511. Calculate the common denominator of x and -107/10.
10
Let f = -5 + 1. Let x be ((-30)/f)/((-24)/64). Find the common denominator of -14/3 and (78/x)/((-45)/120).
15
Let q(k) = 2*k**3 - 5*k**2 - k - 1. Let b be q(8). Find the common denominator of 11/12 and b/(-252) - 6/(-27).
84
Let a be (-1290)/(-20)*(-8)/6. Let x = a - -136. Let r = -28 + x. Calculate the least common multiple of r and 14.
154
Suppose 2*q = 3*f - 16, 5*f + 5 = -q - 2*q. Suppose f*d + 70 = 4*w - 0*d, -w = -2*d - 25. What is the least common multipl