 -364*a - 400 = -374*a. What is the lowest common multiple of 300 and a?
600
Suppose -472 = -2*w - 2*w. Let x = -76 + w. Calculate the common denominator of (-6)/21 - 422/x and -107/6.
6
Calculate the common denominator of -11/75 and (-320)/66 + 2 - -1.
825
Suppose -3 - 15 = -2*j. Let w = j - 3. Calculate the least common multiple of 2 and w.
6
Suppose -3*h = 5*x - 38, 0 = 4*h + 6*x - 2*x - 48. Let o = -68 - -68. Suppose o = -11*t + 13*t - 2. Calculate the smallest common multiple of t and h.
11
Suppose -4*s + 3*g + 5 = 0, -3*g = 4*s - g - 10. What is the smallest common multiple of s and 11?
22
Let d(m) = -m**2 + 12*m - 13. Let c(q) = -12*q**2 - 13*q + 1. Calculate the least common multiple of d(9) and c(-1).
14
Suppose -2*h = -2*a - 3*h + 17, 5*h - 15 = 0. Let j(w) = 4*w - 20. Suppose 30 = -2*c + 5*c. What is the least common multiple of c and j(a)?
40
Let g(h) = h**3 + 8*h**2 + 8*h - 2. Let k be g(-4). Suppose 2*c + 0 = -8, 3*c + k = 3*u. What is the common denominator of 59/6 and u?
6
Let q = 153 + -102. Let x = -41 + q. Calculate the smallest common multiple of x and 34.
170
Let p = 17597/8 + -2206. Find the common denominator of p and -44/191.
1528
Let y(a) = -3*a + 47. Let w be y(15). Let u(f) = f**3 + f**2 - f. Calculate the least common multiple of 6 and u(w).
30
Let j = -9161/268964 + -11031174013/1370506062. Let y = -1/3397 + j. Find the common denominator of y and 103/12.
12
Calculate the least common multiple of (54/(-15))/(172/20 - 9) and 9.
9
Suppose -2 = -5*j - 17. Let n = 5 + j. Suppose 0*h + 3*h - 21 = -3*z, -h = -2*z + n. What is the least common multiple of h and 18?
36
What is the common denominator of -113/90 and 4040/(-800) + (-3)/12?
90
Let z(d) = d**3 + 5*d**2 - 4*d - 8. Let h be z(-6). Let u = h + 20. Suppose u*s + s = -4*j + 28, s + j = 19. What is the least common multiple of 6 and s?
48
Let d(x) be the first derivative of x**2/2 - 3. Let k be d(9). Find the common denominator of -87/2 and (-200)/(-12)*k/16.
8
Let u be (-18*3/27*-3)/(-1). Let k = -1 + 2. What is the common denominator of (3 - (-81)/u) + k and -48/11?
22
What is the common denominator of (-3335)/(-4690) + (-1)/(7/2) and 9/11?
1474
Suppose -5*n + 3*j = -111, -n - j + 13 = 3*j. What is the smallest common multiple of n and 147?
147
Suppose 0 = 2*q - 4*q + 144. Let d be 16/q - (-230)/18. Let c(w) = w - 7. What is the least common multiple of 30 and c(d)?
30
Let q be 30/(-75) - 2248/5. What is the common denominator of 40 and (-10)/(-4)*(-108)/q?
5
Let i = -221 - -229. Calculate the lowest common multiple of i and 40.
40
Let h(g) = -g**3 + 8*g**2 - g - 10. Let b be ((-15)/(-3))/(1 + 0). Calculate the lowest common multiple of 22 and h(b).
660
Suppose 2*s + 76 = 4*i - s, 5*i - 88 = 2*s. Calculate the smallest common multiple of 130 and i.
1040
Suppose 5*x - 34 - 1 = 0. Suppose 0 = i + 5 - x. What is the lowest common multiple of i and 23?
46
Suppose -s + 0 = -2*o - 10, -3*s - 2*o = -62. Suppose s = 3*n - 9. Calculate the lowest common multiple of 7 and n.
63
Suppose -5*w - 5*i - 35 = 0, -6*w + w - 2*i - 20 = 0. What is the common denominator of (0 - 1) + 51/(-16) and w + 5235/1650 + (-4)/10?
176
Let z be 0*-2*(-2)/(-8). Suppose -2*a + 6 = 0, 2*j + j - a - 15 = z. Calculate the lowest common multiple of ((-110)/33)/((-1)/j) and 12.
60
Let z(a) = a**3 + 6*a**2 - 8*a + 8. Calculate the lowest common multiple of z(-6) and 14.
56
Suppose -4*w = -3*a - 0*a - 21, 0 = -a + 2*w - 9. Find the common denominator of (-35)/((-280)/48) - 34/32 and 29/(-15)*a/(-2).
80
Let h = 112/475 - 144713/462650. Calculate the common denominator of h and -17/18.
8766
Let v(h) = h**3 - 5*h**2 + 2*h - 3. Let i be v(5). Suppose -4*u = -i*u + 963. Let d = u + -629/2. Calculate the common denominator of -13/2 and d.
2
Let o = 11 + 0. Let d = -12 + o. Let y(k) = 4*k**2 + 2*k. Calculate the smallest common multiple of y(d) and 6.
6
Suppose p + 0 = -5. Let s(m) = 2 - m**2 - 7*m - 8 + 0*m**2. What is the lowest common multiple of s(p) and 4?
4
Let m(n) = n**3 + 9*n**2 + 13*n - 5. Let c be m(-7). Suppose -2*x - 2*x + c = p, 30 = 4*p + 5*x. Calculate the smallest common multiple of p and 17.
170
Let y = -245 + 1013/4. Find the common denominator of y and -13/64.
64
Let q = 5/9356 + -650317/140340. Calculate the common denominator of q and -15/226.
3390
Suppose 3*l = 3*q + 36, -3*q + 5*q = -2*l + 8. Suppose -4*s + 5*s = l. What is the lowest common multiple of s and (26 - 10) + -3 + -12?
8
Suppose 2*u + 276 = -5*h, 193 = -4*h - 4*u - 23. Let p = h - -59. Calculate the smallest common multiple of p and 4.
12
Let a be (2/(-4))/((-2)/(-4)). Calculate the least common multiple of 9*((-2)/a - 4/3) and 5.
30
Let n = -6 - -8. Suppose -n*q - q + 135 = 0. Find the common denominator of q and (-248)/70 - 135/(-63).
5
Let g be 4*1*2/4. Let t(i) = 6*i**g - 2 + 3*i + 3*i**3 + 4 - 4 - 4*i**3. Calculate the smallest common multiple of 22 and t(6).
176
Find the common denominator of 81/66 - (0 + 1) and (-18)/30 - (-1645)/(-50)*1.
22
Let d = 186571/12 - 15559. Let f = d + 45/4. Calculate the common denominator of 194/(-9)*(-30)/(-40) and f.
6
Let d(r) = r - 11. Let b be d(16). Calculate the common denominator of (-21)/18*(32 - b) and 30/11.
22
Find the common denominator of -3*2/8 + 207/432 and 8/16 + (-56)/(-9).
144
Let f = 882 + -840. Calculate the smallest common multiple of f and 60.
420
Let c = -1575/2 - -807. Find the common denominator of ((-122)/(-30))/(4/10) and c.
6
Let t be ((-9)/(-12) + -1)/((-2)/8). Let x(v) = 4*v**2 - v + 1. Calculate the least common multiple of x(t) and 8.
8
Let m = 11/4006 - -351488/14021. Let x = m - 25. Find the common denominator of -87/68 and x.
476
Let x = -11680/11 - -1064. Find the common denominator of 43/696 and x.
7656
Let d = -279/19 - -17065/1254. Find the common denominator of d and 151/30.
330
Calculate the common denominator of -5 + (52/(-24) - 3) and 33/112.
336
Let s(f) = 5*f + 16. Let h be s(-7). Let o = -18 - h. Suppose -2*g + 9 + 1 = 0. What is the smallest common multiple of g and o?
5
Let l = 6 + -2. Let s = -142 + 154. What is the lowest common multiple of l and s?
12
Suppose 0 = -m - 3*t + 4, 0*t + 4*t - 6 = -m. Let a = 7 + m. Suppose -36 = -a*q + 2*q. What is the lowest common multiple of q and 26?
156
Suppose 0 = -5*s + s + 8, -u - 22 = 3*s. Let r = 38 + u. Calculate the lowest common multiple of 2 and r.
10
Let p be -3 + 1141/77 - (-4)/22. Find the common denominator of (p/62)/(88/594) and -17/2.
62
Suppose -y = 1 - 11. Let r = 8 - y. What is the least common multiple of 20 and 12*(r/(-4) + 0)?
60
Calculate the common denominator of (-14)/(-140) + (-266)/(-540) and -59/45.
135
Let d = -1/7911 - -123976/292707. What is the common denominator of d and -113/24?
888
Let r = 913 - 4581/5. Find the common denominator of ((-3)/(-60))/((-3028)/505 - -6) and r.
40
Let t = 11495/2 - 120713/21. What is the common denominator of t and -157/30?
210
Let r = 91/341 + -30465/128216. Calculate the common denominator of 109/18 and r.
3384
Let q(s) = s**2 + 2*s - 4. Let n(z) = 3*z**2 + 7*z - 12. Let w(j) = 3*n(j) - 8*q(j). Calculate the least common multiple of 16 and w(-7).
80
Let d(u) = u**3 - 18 + 5*u**2 - 8*u**2 + 16*u - u + 20*u**2. Calculate the common denominator of d(-16) and -77/4.
4
Let s = 634772431/24 - 26465862. Let j = 17007 + s. Calculate the common denominator of j and 71/21.
168
Let g(x) = 9*x**2. Suppose -2*p - 4*z = 0, -5*z + 66 - 14 = -4*p. Let n(v) = -v - 1. What is the smallest common multiple of g(-1) and n(p)?
63
Let d be (12472/1 - 0)*1. Let i = -149573/12 + d. Let a = -18569/3114 + -16/173. Calculate the common denominator of i and a.
36
Suppose -2*j + 117 = -3. Suppose -94 = -11*q + j. Calculate the lowest common multiple of q and 42.
42
Suppose 6 = 3*j - 12. Let u be ((-80)/j)/((-2)/48). Let g = -5109/16 + u. Calculate the common denominator of 99/4 and g.
16
Let k(u) = u**2 + 1. Let g(s) = 40*s**2 + s + 3. Let v(n) = g(n) - 2*k(n). What is the smallest common multiple of v(1) and 16?
80
Let d = -21 + 37. What is the lowest common multiple of d and 10?
80
Suppose 3*d - 139 = 203. Calculate the lowest common multiple of d and 30.
570
Let n(a) = -2*a - 4. Let s be n(-6). Suppose 10*j + s = 11*j. What is the lowest common multiple of 15 and