 of 1/(7/(406/(-20))) and (-3)/10*(-50)/(-16).
80
Suppose -d - 2*y + 26324 = 0, -18972 = -3*d + 3*y + 59973. Let w = d - 1026323/39. Find the common denominator of w and -88/21.
273
Let c = -35/71 + -7891/1420. Let r be 2/1 - -1*(2 - -6). What is the common denominator of c and (-7)/(-4) + r/(10/3)?
20
Let j = 2076 + -2054. Suppose -417 = -4*v + g + 2*g, 2*v - 211 = g. Suppose v = p + 2*p. Calculate the smallest common multiple of j and p.
396
Let s = -8 - -13. Suppose -2*q + o = -7, q - 9 = 4*q + s*o. Suppose -6 = q*w + 5*k, 3*w - 3*k - k - 37 = 0. What is the least common multiple of 1 and w?
7
Let j(u) = u**2 - 2*u - 12. Let a be j(-6). Calculate the common denominator of 4/(-6) - 70/a and 226/(-10)*5/6.
18
Let q = 7497911/4 + -30048981/16. Let b = -3581 - q. What is the common denominator of b and 49/18?
144
Let p(b) = 11*b**3 - 26*b**2 + 23. Let m(h) = 4*h**3 - 9*h**2 + 8. Let w(c) = -17*m(c) + 6*p(c). Calculate the lowest common multiple of w(-2) and 12.
12
Suppose 2*k = -2*t + 42, 3*k - 53 = -0*k - t. Let a(w) = -16*w + 88. Let z be a(6). Calculate the common denominator of 73/8 and (41/32)/(z/k).
16
Let d(v) = -v**3 + 13*v**2 - 13*v + 16. Calculate the smallest common multiple of d(12) and 36.
36
Let t = 5 + -11. Let h(x) = -x**2 - 8*x - 6. Calculate the smallest common multiple of h(t) and 4/8*(26 - -2).
42
Suppose 7 = 6*j - 5. Suppose -j*m + 0*x + 2 = -2*x, 1 = 4*m - 5*x. Calculate the lowest common multiple of m and (-75)/(-6) - (-3)/(-6).
12
Let v = 8026 - 497597/62. Let a = 11241/434 + v. Let r = a + -26. Calculate the common denominator of -93/10 and r.
70
Suppose 2*d = -u - 152, -6*d - 230 = -3*d + u. Let f = 32 - d. Calculate the smallest common multiple of f and 16.
880
Find the common denominator of 55/6 and (-299)/231 + (-40)/220.
42
Let s be 3*1 - (9/3 - -1). Calculate the common denominator of 26*s - (10 - 10) and -33/19.
19
Suppose -303 - 17 = 2*r. Find the common denominator of (-5)/(r/(-316)) - -2 and 15/8.
8
Let v = 42516/7 - 1276789/210. Let h = 7 - 9. Find the common denominator of v and (h/(-15))/(4/(-291)).
30
Let w(l) = 3*l - 7. Suppose -11 = -3*s + 85. Let r = 37 - s. Calculate the lowest common multiple of 18 and w(r).
72
Let b(c) = -17*c**3 + 4*c**2 + 2*c - 1. Calculate the lowest common multiple of b(-1) and 656.
5904
Let k(u) = -30*u - 66. Calculate the least common multiple of k(-7) and 24.
144
Let g = 5 + -2. Let t(f) = 3*f**2 - 4*f + 1. Suppose -54 = -12*x + 9*x. What is the smallest common multiple of x and t(g)?
144
Let g = 75 - -88. Let r = 168 - g. Suppose x - 29 = -f - 4*f, -5*x + 5*f + 55 = 0. Calculate the lowest common multiple of r and x.
70
Let d = -21 + 3. Let b = -13 - d. Calculate the lowest common multiple of b and 11.
55
Suppose -74 - 244 = -4*g + 3*s, -5*s + 380 = 5*g. Calculate the lowest common multiple of 39 and g.
78
Let b(p) = p**2 + p - 5. Let h be b(-4). Suppose h*t - 2*t = 10. Calculate the least common multiple of t and 10.
10
Calculate the common denominator of 71/60 and (-201)/67 - 2/((-1040)/1574).
780
Let u be 14/(((-7)/14)/(-1*1)). Let l = -13 + u. Calculate the lowest common multiple of 12 and l.
60
Let g be 1 + 0 - ((-263451)/135378)/1. Let l = g - 4/2507. Calculate the common denominator of -97/18 and l.
18
Let s be 114/(-10) + 2/5. Let b be ((-806)/19)/(s + 23). Let k = b - 12/19. Calculate the common denominator of -28/5 and k.
30
Let l be ((-7482)/(-10000))/3 + (-8)/32. Let f = 377509/15000 + l. Let n = 8843/10 - 887. Find the common denominator of n and f.
30
Let s = -122627/27 + 4543. What is the common denominator of 19/30 and s?
270
Suppose 1548*o - 950 = 1538*o. What is the least common multiple of 80 and o?
1520
Suppose -3*z = 9, 0 = -4*f - z - z + 38. Suppose 5*n - 3*w - 36 = 0, -5*n - w - w = -51. What is the smallest common multiple of n and f?
99
Let a = -64117/50 + 1282. Find the common denominator of (-56)/(-6)*45/(-440) and a.
550
What is the common denominator of -121/216 and ((-1628)/(-18))/11 - 11?
216
Let y be -4 + 3 + -2 + 6. Suppose 4*u = -y*u + 28. Suppose -5*a = -5*o - 13 - 2, -3*a - 4*o = -2. Calculate the smallest common multiple of u and a.
4
Let v be -206 + -1 + -1 + -2. Let m = -108 - v. Suppose -5*b - 3*r = -m, -5*r + 2 = -0*b - b. Calculate the smallest common multiple of b and 12.
36
Suppose 0 = 2*v - 5*x - 217, -3*v + 12*x + 313 = 7*x. Calculate the lowest common multiple of v and 60.
480
Suppose -119*k + 117*k + 72 = 0. What is the common denominator of 10/(-16)*(-62)/10 and -3 - 2 - (-633)/k?
24
Suppose -2099 = -5*y + c, 4*c + 423 = y + 7*c. What is the lowest common multiple of y and 9?
1260
Let r(y) = -30*y - 18*y + y**2 + 13*y + 14. Suppose 3*s = s + 14. What is the least common multiple of s and r(35)?
14
Find the common denominator of ((-54)/(-81))/((-164)/54) and -38/9.
369
Let n(u) = -u**3 - 11*u**2 - 11*u - 3. Let d be n(-10). Let b be (-14)/(-2) - (d + -8). What is the least common multiple of (b/(-5))/(32/(-80)) and 9?
36
Let q = 301593/22 + -13712. What is the common denominator of q and 2/10 + (-174)/(-280)?
308
Let u(i) = -7*i**3 + i**2 - i - 1. What is the smallest common multiple of 7 + 15 + -1*4 and u(-1)?
72
Let u be (-4)/(4 - (-6025)/(-1506)) + 1. Let g = u - 36239/6. What is the common denominator of g and 13/10?
30
Suppose 2*z - 24 + 8 = 0. Suppose -2*k + 3*l = z, 3*k + l - 8 = k. Let c(s) = 2*s**2 - 38*s - 820. What is the least common multiple of c(-13) and k?
12
Find the common denominator of (-250)/(-24) + (-13)/(312/(-16)) and -9/22.
132
Let x(m) = 11*m**2 + 47*m - 41. Let n(p) = -92*p**2 + 87*p**2 - 10*p + 20 - 13*p. Let g(s) = -13*n(s) - 6*x(s). Find the common denominator of -57/7 and g(13).
7
Let k = -1/28958 + 1187413/3909330. What is the common denominator of 47/54 and k?
270
Let u(c) = -14*c - 18. Suppose 14*j + 20 + 8 = 0. Calculate the lowest common multiple of 10 and u(j).
10
Let z be -4 + -9*1/(-3). Let w = z + 11. Suppose -2*t + 54 = 4*j, -6*t = 2*j - 3*t - 33. Calculate the smallest common multiple of j and w.
60
Let b = -10205/4 - -2571. Find the common denominator of -13/12 and b.
12
Let j = -33/1058 - 15315/119554. What is the common denominator of j and -41/7?
791
Let u = -40433/75 - -1616/3. Calculate the common denominator of -31/45 and u.
225
Let n be (-62468)/(-36) + 2/(-9). Let a = n + -55555/32. Calculate the common denominator of 1 + (-4 - -2) + 110/(-24) and a.
96
Let h(p) = -p**3 - 5*p**2 - 8*p - 2. What is the lowest common multiple of h(-6) and (-50)/(-6) - (294/18 + -16)?
328
What is the common denominator of 100*(-7)/(-56)*6/297 and 127/126?
1386
Suppose 4*k + 9 = 5*s + 6*k, 0 = 4*s - 4*k - 24. Suppose 3*h = 4*w + 225, s*w = -2*h - 111 - 79. Find the common denominator of -51/8 and 0/2 - 213/w.
40
Let f = -19529/7 - -2791. What is the common denominator of 83/226 and f?
1582
Suppose 0 = -o - 4*d + 337, -2*o + 4*d + 420 = -206. Calculate the lowest common multiple of 8 and o.
2568
Let j = 2611843/64 - 40811. What is the common denominator of 87/44 and j?
704
Let v(l) = -l**3 + 7*l**2 - 8*l + 6. Let f be v(5). Suppose 5*r + 0*r - 29 = 2*u, 5*r - 51 = 3*u. Find the common denominator of -41/11 and u/f*(-28)/(-3).
66
Suppose -p = -7*p - 42. What is the smallest common multiple of (-63)/(-18)*(-20)/p and 2?
10
Let z = 2011415 + -24113291/12. Let m = z - 1984. What is the common denominator of 49/12 and m?
12
Let n = 1276/119 - -823321/714. Let h = n - 1171. Calculate the common denominator of h and -4/11.
66
Suppose 2*o = -x + 17, 25 = o - 5*x - 0. What is the smallest common multiple of 366 and o?
1830
Let u = 12 - 8. Suppose 0 = -4*o - u*j + 3*j + 6, 0 = 2*o - 3*j - 10. Suppose 0 = f - 8 - o. Calculate the smallest common multiple of f and 11.
110
Let p(i) = i + 8. Let t be p(-6). What is the common denominator of (-47)/t + 10/40 and -93/2?
4
Suppose 5*x - 16 = -2*r, -x = -4*x + 4*r - 6. Find the common denominator of x/(3 + 86/(-42)) and -79/2.
10
Let p(g) = g**2 + g + 1. Let s(r) = -r - 1. Let u(c) = p(c) + 3*s(c). What is the least common multiple of 8 and u(4)?
24
Suppose w + p = 2, 9 + 13 = w - 3*p. Let d = -1173/2 - -1745/3. What is the common denominator of d and w/2*68/(-20)?
30
Let n = -4 - -3. Let r = -5/12 - -191/12. Find the common denominator of r and ((-93)/33)/1 - n.
2