
280
Suppose -a = 2*r - 33, -3*r + 57 = 5*a - a. Let h(t) = -14*t + 24*t + t**2 - 12*t. Calculate the least common multiple of h(-3) and r.
15
Suppose -62*l + 76*l = -42. Calculate the common denominator of (11/16 - l) + 2 and -25/2.
16
Let d = -87389 + 15730073/180. Calculate the common denominator of 17/90 and d.
180
Suppose 2*i - 10 = 7*i. Let d be 500*(-130)/32495 + i/(-1). Let n = 188511/129980 + d. Calculate the common denominator of -9/14 and n.
140
Let l(c) = 3*c + 40. Let f(o) = -o - 13. Let s(y) = -11*f(y) - 4*l(y). Let n be s(-18). Find the common denominator of (0 - n)*70/12 and -47/3.
6
Let t be 6*(-19 - 1)/(6/8). Let s be ((-1030)/3)/(-4 + t/(-84)). Let g = -164 + s. Calculate the common denominator of g and -1/8.
88
Let d = 17203 + -17188. Calculate the lowest common multiple of 4635 and d.
4635
Suppose -v = 2*s - 282, 88*s = 3*v + 84*s - 836. What is the least common multiple of v and 252?
2520
Let r be 4/18*(-9)/228. Let b = r - -3599/912. Let v = -6885 - -41419/6. Calculate the common denominator of b and v.
48
Let y = -318 - -278. Calculate the common denominator of (-166)/y + -23 + 24 and 2 + (-2)/((-24)/147).
20
Let h = 111/1304 - -16591/19560. Calculate the common denominator of h and ((-24)/(-5) - 1)/6.
30
Suppose 22*c - 13*c = 45. What is the common denominator of 3*c/165*215/(-25) and -7/50?
550
Let z(o) = -83*o - 393. Let u be z(5). What is the common denominator of (78/208)/((-66)/u) and 97/390?
4290
Let u be 58986/(-30)*(-1475)/86. Let l = u - 33722. Find the common denominator of l and 83/2.
86
Suppose -40*d + 3107 + 2333 = 0. Find the common denominator of (2/6)/(12/(-226)) and (d/306)/((-2)/(-12)).
18
Let r = 517827 - 434974741/840. Calculate the common denominator of 59/420 and r.
840
Suppose -2*l - 8*l + 660 = 0. Let j = -61 + l. Suppose g - 42 = -j*g. What is the lowest common multiple of g and 10?
70
Let i(t) = 3*t + 8. Let x be i(-3). What is the common denominator of (-3)/(-24)*38*-6 and 2/(-14)*(2 - x)?
14
Suppose 2*o + 2*k = 17282, -5*k = 3*o - o - 17273. Let a be (0 + o/(-152))*(-6)/(-22). Let n = a + 2/209. What is the common denominator of 65/4 and n?
4
Let x = -989 + 2918/3. Let b = -15 - x. Find the common denominator of -57/10 and b.
30
Let m(l) = 2*l**2 + 7*l - 48. Let q be m(-7). Calculate the smallest common multiple of 22 and (q*4)/((-77)/(-1540)).
880
Let s be 10/35 - (-23)/21*-3. Calculate the common denominator of s/(-96)*-123 - -7 and -85/2.
32
Suppose -3*x = -325 + 34. Suppose 8*j + x = -15. What is the common denominator of j and 20/93?
93
Let q be -2 + (-8)/2 + -1. Let s = 11 + q. Suppose 4*w = a + 3*w - 21, -2*a - 2*w = -46. Calculate the lowest common multiple of a and s.
44
Let x = -26/79 + 1385/2528. Let v = 736276 + -736309. What is the common denominator of x and v?
32
Let n = -643307 + 714070823/1110. What is the common denominator of n and -101/888?
4440
Suppose v = 11 + 35. Let d = v + -32. What is the least common multiple of (-1 - 72/(-16))*24/d and 5?
30
Let l be 1 + (-183858)/(-20)*1. Let c(f) = 4*f**2 - 212*f + 131. Let m be c(-28). Let u = m - l. Calculate the common denominator of 1/3 and u.
30
Suppose 0 = -3*f + 2*s + 5112, 8*s - 11*s = 10*f - 17040. Calculate the smallest common multiple of 33 and f.
18744
Let v(x) = x**2 - 4*x - 79. Let n be v(11). What is the common denominator of n/(-11) + -542*(-5)/(-264) and 89/428?
1284
Calculate the common denominator of 1/18*30/(-14) and (1/(-6))/((-217)/(-10137)).
42
Suppose -34085 - 9790 = -3*v. Let n be ((-225)/150)/(5/(-2)) + (-876779)/(-60). Let q = n - v. Find the common denominator of -101/18 and q.
36
Suppose 0 = 4*m, 0 = -n + 2*m - m - 2. Suppose j - 5*j = -216. What is the common denominator of -39/14 and n - (111/j - 3)?
126
Let a = -127871 + 27108591/212. Let m = -1/690855 - -54577553/5526840. Find the common denominator of a and m.
424
Let n = -71803/16 + 4491. Let c = -6789 + 122245/18. Find the common denominator of c and n.
144
Let g(l) = 3*l - 63. Suppose 5*p - 12*a + 11*a = 214, 2*a + 84 = 2*p. Calculate the lowest common multiple of g(p) and 54.
594
What is the common denominator of (10 + (-485)/35)/(74/(-21)) and (-5)/30 - 86/(-66)?
814
Let h(f) = -f**3 + 11*f + 6. Let r be h(-3). What is the common denominator of (-1 - r) + (-1805)/(-836) and (-2)/(-3) - 327/54?
396
Suppose -p = 5 - 32. Let v = p + -24. Let z = -30 - -64. Calculate the lowest common multiple of v and z.
102
Suppose 4 = -o - 0*o, o + 4 = 4*m. Suppose -5*j - 70 = -j + 3*w, m = -4*j - 4*w - 72. Find the common denominator of 33/7 and 552/j + -4*1.
14
Let v be ((-2)/3 + 0)*216/(-16). Suppose 12*x - v*x = 684. Calculate the lowest common multiple of x/54 + (-4)/18 and 8.
8
Let d be (3 - (-39)/6)*(27 + -25). Let u = d + 1. What is the least common multiple of 20 and u?
20
Let s be -1*(-12)/(-9) - 5928/(-1620). Let n = s - 94/135. What is the common denominator of (2/(-4))/(3/(-110)) and n?
27
Let s be -4 + 2 + (-435823)/(-5850). Let r = 1/2925 + s. Let g = r + -32. Find the common denominator of -49/4 and g.
4
Let u(j) = -j**3 + 10*j**2 - 16*j + 69. Let k be u(9). Calculate the lowest common multiple of (10 + -28)*(-1)/k and 50.
150
Let o = -18/1625 + -19537/26000. What is the common denominator of o and 61/60?
240
Let i(y) = 11*y + 10. Let u be i(-1). What is the common denominator of 2 - ((-35)/(-30))/(u/(-10)) and 49/96?
96
Suppose 78*z - 13*z - 2730 = 520. Calculate the lowest common multiple of 20 and z.
100
Let a(z) = -8*z + 118. Let d be a(16). Calculate the common denominator of (-6)/(-30)*-26*d/(-61) and -61*(-3)/(-6) - -1.
122
Find the common denominator of (143/14 + -10)*184/750 and -44/5.
875
Let k be ((-4)/(-176))/((-1 + -3)/(-632)). Let s = k - -139/165. Let q = -40758 + 978049/24. Find the common denominator of q and s.
120
Let z = 7495 - 45089/6. Suppose 2 = 5*g - 3. What is the common denominator of z and g/3*(-83)/4?
12
Suppose u - 5*z = -3070 + 3099, u + 4*z = 20. Suppose y - 23 - 28 = -4*t, -5*t - 24 = -y. What is the least common multiple of u and y?
312
Let u = 6564 + -6328. What is the smallest common multiple of 14 and u?
1652
Let a = -7 + 3. What is the common denominator of (-9)/(792/77)*3306/133 and ((-16)/(-6))/(a/(-34))?
12
Let f(i) = -i**3 - 51*i**2 + 254*i + 8. What is the least common multiple of 36 and f(-56)?
4392
Let r be (24/30)/(2/35). Let i = 445/1098 + -1/61. Find the common denominator of (-36)/(-56) - 4/r and i.
126
Let j = -52567/4 - -13122. Let g = 103579/4 + -52301/2. Let p = g - -2509/10. What is the common denominator of j and p?
20
What is the common denominator of (-5)/3*882/(-490) + (-569)/210 and -5/171?
11970
Let b = -108551/341910 + -18/3799. Calculate the common denominator of -83/5620 and b.
50580
Let s(p) = 3*p**2 + 33*p - 18. Let z(v) = 2*v**2 + 17*v - 8. Let h(d) = -3*s(d) + 5*z(d). Calculate the smallest common multiple of 18 and h(20).
1206
Let n = 30 + -21. Let o = -44 + 45. Let y(i) = 3*i**3 + 2*i - 2. Calculate the smallest common multiple of y(o) and n.
9
Let u = -2 - -6. Let f = u + 0. Suppose f*x - 33 = 23. Calculate the least common multiple of x and 20.
140
Calculate the common denominator of 13/6 and 55*(-333)/9774 + (1 - -1) + 0.
1086
Let u be (-234)/20 - (-1 + -2). Let b = u + 102/5. Calculate the common denominator of b and 27/(-90) + 1796/120.
30
Let m = -141 - -143. Suppose -2*c + 9 = -3*h, -m*h + 2*c + 2 - 8 = 0. Calculate the common denominator of (2 + h)/2 + 40/(-12) and -61/10.
30
Calculate the lowest common multiple of 1/(5/2166) - 96/480 and 10.
4330
Suppose 8*p - 22*p = -714. What is the common denominator of 2822/p*9/120 and 23/40?
40
Suppose -5*f + 11 = -9. Let j = -360 - -175. Let x = j - -196. What is the smallest common multiple of f and x?
44
Let x(g) = 38*g**3 - 9*g**2 - 6*g + 31. Calculate the smallest common multiple of (12/(-10))/(1/(-5)) and x(3).
2874
Suppose -4*t + 328 = -8*t. Let o = t + 90. What is the lowest common multiple of o and 32?
32
Let d(i) = 4*i + 6624. Let c be d(0). Suppose 0 = 26*n - 2*n - c. What is the lowest common multiple of n and 5?
1380
What is the least common multiple of (-311734)/(-1659) + 2 + (-120)/63 and 470?
940
Suppose -65426 = 4*t - r - r, -5*r - 16340 = t. Let u = 2306114/141 + t. Find the common denominator of 4/3 and u