
1056
Let g(y) be the third derivative of -4/3*y**3 + 0*y + 5*y**2 + 0 - 1/8*y**4 + 1/60*y**5. What is the smallest common multiple of g(6) and 3?
30
Let m = -32431841/144 + 225222. Calculate the common denominator of m and -33/112.
1008
Let q = -372 + 422. What is the least common multiple of q and 30?
150
Suppose 5*p = 370 + 295. Let g = p + -125. What is the least common multiple of 12 and g?
24
Let z be ((-4)/4 - -79) + -3. Find the common denominator of 35/9 and 0 + (785/z - 5).
45
Let p be (68/(-12))/((-2)/6). Let f = p - 10. Let z(w) = w**3 - 10*w**2 - w + 21. What is the least common multiple of z(10) and f?
77
Suppose -1842 + 1872 = 2*w. Calculate the smallest common multiple of w and 36.
180
Let r = -3/231509 - 38661463/41671620. What is the common denominator of -61/18 and r?
180
Suppose -11*h + 130 = -376. What is the smallest common multiple of h and 54?
1242
Let i = 13502/15 - 899. Let l = -3677/3 + 1220. Calculate the common denominator of l and i.
15
Let q be (-12)/(-5) - 16/40. Suppose -55 = k - q*k. What is the common denominator of -39/2 and (-4)/(-10) + (-37)/k?
22
Let q = 4 + -16. Calculate the lowest common multiple of (0 + 1 - 2) + 3 and q/(6/(-2)) - -1.
10
Let r(t) = t**2 - 3. Let c be r(0). Find the common denominator of 143/6 and ((-77)/2)/((-24)/c).
48
Let p be (8/(-5))/((-12)/30). Let u(q) = -3*q**2 - 33 + 2*q**3 + 2*q**2 - 2*q - p*q**2 + 28. Find the common denominator of u(4) and -7/10.
10
Suppose -181*p = -184*p + 15. What is the least common multiple of 6 and p?
30
Let w = -3168 + 357977/113. Let g = w - -8969/678. Let t = -124 - -367/3. Find the common denominator of t and g.
6
Suppose -3*x - 2*a - 383 = -6*a, 5*x - a = -610. Let h = 2493/5 + -5069/10. Calculate the common denominator of (-22)/11 + x/(-16) and h.
80
Suppose -5*r + 32 - 2 = 0. Let h = 1487 - 1469. What is the lowest common multiple of h and r?
18
Let j be ((-24)/15)/((-2)/10). Let f be 24/3*6/j. What is the common denominator of -17/8 and f/9*(-84)/(-22)?
88
What is the lowest common multiple of 636 and 4 + 18/6 - -1?
1272
What is the common denominator of 30/1071*(6 + (-252)/35) and 41/6?
714
Let o = -99 - -101. Suppose 2*q = 10 + 2. What is the lowest common multiple of (-1 + (-10)/q)*-3 and o?
8
Let a = -4 - -19. What is the lowest common multiple of 177/a + 2/10 + 0 and 48?
48
Let z = -76574/9 - -3370159/396. Let k = z - -3/22. What is the common denominator of k and (-125)/(-8)*(-28)/21?
12
Let v = -102 + 2756/27. What is the common denominator of -46/3 and v?
27
Let o = 1988 + -7863/4. Calculate the common denominator of o and (-4)/(-6)*(-46)/(-12).
36
Suppose 210*p + 1200 = 216*p. What is the lowest common multiple of p and 40?
200
Suppose -g = -1833 + 1801. What is the smallest common multiple of 16 and g?
32
Let g = 607 - 4891/8. Find the common denominator of -15/404 and g.
808
Let i = 9097 - 654953/72. What is the common denominator of i and 85/48?
144
Calculate the common denominator of ((-2)/10)/(4/(-58)) and 5*(-3 - (-6)/(-24)).
20
Suppose 0 = 3*y - 12, 0 = -4*x - 2*y + 5*y. Suppose 3*a - 3 = x. Calculate the least common multiple of (1 + 0)/(-1)*-6 and a.
6
Let z(r) = -r**3 - 14*r**2 + 15*r + 5. Let k be z(-15). Suppose 7 + k = p. Calculate the least common multiple of 124/10 + 4/(-10) and p.
12
Let f(m) = 70*m - 84. Let t(v) = v - 1. Let h(a) = -f(a) + 84*t(a). Let q be h(-1). Find the common denominator of 13/11 and (78/(-24))/(4/q).
88
Let t = -148 + 4497. Let v = -39182/9 + t. What is the common denominator of v and -41/4?
36
Let s = -977 - -7781/8. What is the common denominator of -33/8 and s?
8
Let c be (33654/20)/(-1) - 3/(-15). Let t = 1643 + c. What is the common denominator of -99/16 and t?
16
Let l = 1 - -1. Let u = 68 + -26. Suppose l - u = -4*b. Calculate the lowest common multiple of b and 2.
10
Let w = -15 - -23. Suppose -4*a + 4 + w = 0. What is the lowest common multiple of (0 - (a + -6)) + 7 and 5?
10
Suppose 36*o - 1038 = 690. What is the smallest common multiple of o and 8?
48
Suppose -2*o - 5*y + 283 = 0, 7*o + y = 3*o + 575. Calculate the smallest common multiple of o and 396.
1584
Let b = 2826335/72 - 39256. Find the common denominator of 8/63 and b.
504
Suppose 4*v - 328 = 276. Calculate the least common multiple of 4 and v.
604
Let k = -33 + 29. What is the least common multiple of 4 and -24*(k - (-27)/12)?
84
Let i(o) = -13*o - 71. Suppose 3*g = 2*r + 7, r - 5*g = -13 - 8. What is the lowest common multiple of i(-7) and r?
20
Let l(j) be the second derivative of -j**5/20 + j**4/6 + j**3/3 + 5*j**2/2 + 7*j. Let a be l(0). Calculate the common denominator of 12/19 and (8 - a)*14/(-15).
95
Suppose 0 = -4*w + 2*j + 1298, 981 = 7*w - 4*w - 4*j. Calculate the smallest common multiple of 2 and w.
646
Let q = 45 - 31. Suppose 2*n - q = 8. Calculate the lowest common multiple of n and 7.
77
Suppose -14 = -8*r - 334. Let w = r + 46. What is the least common multiple of 3 and w?
6
Let x(p) = -p**2 + 7*p - 13. Let g be x(6). Calculate the common denominator of (-1 + g)/(36/(-34)) and 86/15.
45
Let f be 2/(-4) + 14/4. Find the common denominator of -1 - 31/(868/(-264)) and -11*5*(-1)/f.
21
Let s(b) = b + 6. Let u = 234 + -230. What is the lowest common multiple of s(6) and u?
12
Let t = -3 - 4. What is the common denominator of 10/44*(-87)/15 and 5/(t/(21/(-66)))?
22
Let p = -4/3 - -5/6. Calculate the common denominator of p and (18/(-8))/(55/(-33)).
20
Suppose -5*c + 5*f = -85, 2*c + 5*f - 3 = 3*c. Suppose -5*i - 6*i - 33 = 0. Calculate the least common multiple of 14 + (2 + i - -5) and c.
198
What is the lowest common multiple of (192/16)/(10/125) and 120?
600
Let c = -363 - -30491/84. Calculate the common denominator of (37 - 32)*(-85)/(-70) and c.
84
Let n = 12 - 7. Let i(d) = d**2 + 3*d - 6. Let c be i(-5). Suppose -5*f = -n*o + 50, 3*o - 12 = c*f + 22. What is the lowest common multiple of o and 1?
6
Let i(v) = -4*v**3 - 3*v**2 - 2*v + 2. Let t be i(-2). Let m = 38 - t. What is the lowest common multiple of m and 3?
12
Let s = -23 + 50. Calculate the least common multiple of s and (-1)/(-1)*(45/3 - 0).
135
Let b(f) = f + 2. Let x = 665 + -659. Calculate the lowest common multiple of b(0) and x.
6
Let d = -21 - -23. Suppose -d*j + 22 = -0*j. Calculate the least common multiple of j and 7.
77
What is the smallest common multiple of 740 and ((-10)/30)/(3/(-108))?
2220
Let z(d) = d**3 - 6*d**2 - 7*d - 1. Let u be z(7). Let v be 0 + u + -1 - 3. Calculate the common denominator of 81/4 and 36/v*(-160)/(-624).
52
Suppose 4*k - 13*k = -18. Suppose -5*t + 4*i = -29, 0 = k*t - t + 5*i. What is the least common multiple of 13 and t?
65
Let v = -163887373984 + 3604471442071/22. Let i = -47771352 - v. Let p = 8375 + i. Calculate the common denominator of 61/6 and p.
66
Suppose 159*m - 190*m = -1860. What is the smallest common multiple of 828 and m?
4140
Let a be (1/((-32172)/(-376)))/(88/14698). Let g = 3/8426 + a. Calculate the common denominator of g and 13/9.
63
Suppose -c + 18 + 4 = z, -4*z = c - 16. What is the smallest common multiple of 30 and c?
120
What is the common denominator of (-3)/2 + 579*(-9)/(-810) and 67/55?
165
Suppose 0 = 318*r - 301*r - 289. Let f(h) = 3*h. Calculate the smallest common multiple of f(2) and r.
102
Let x = -62 + 133. Suppose -15 + x = 4*k. Suppose 4*n = 5*d + 123, 3*d - 89 = 3*n - 8*n. Calculate the least common multiple of k and n.
154
Let g be (-312)/(-15) + (-2)/(-10). What is the least common multiple of (-9)/2*(-14)/g and 7?
21
Suppose -d = -4*v + 2*d + 48, -4*v - 2*d = -28. Calculate the least common multiple of 18 and v.
18
Let t(z) = z + 14. Suppose -3*g - 28 = 2*r, g + 0*g + r = -11. Find the common denominator of t(g) and -24/11.
11
Suppose 5*k - 3*d + 1 + 4 = 0, -d + 13 = 4*k. What is the smallest common multiple of 5/(15/12) + 1 and k?
10
Let a(k) = -k - 21. Let f be a(7). Let s = f - -30. What is the smallest common multiple of 16 and s?
16
Suppose -6 = -n + 4. Suppose -25 = 5*g, 3*g + 140 = 5*x + 4*g. Let p = x - 28. Calculate the smallest common multiple of p and n.
10
Suppose -3 = -3*w, 0 = -3*m - 4*w + 8*w - 4. Suppose 4*c - 20 - 12 = m. Calculate the smallest common multiple of c and 120.
120
Suppose -4*r + 20 = -2*b - 2*b, -b + 3*r - 7 = 0. Find the common denomi