 1 = -j. Suppose -3*s + 6 = 2*l, s - 6 + 19 = l. Let d = l - j. Calculate the lowest common multiple of 4 and d.
4
Suppose -488 = -2*i - 2*o, -4*i + 2*o + 572 = -416. What is the least common multiple of i and 2?
246
Suppose 2698 = 36*d - 2054. Calculate the least common multiple of 8 and d.
264
Let d = -1321 - -1489. What is the lowest common multiple of d and 28?
168
What is the common denominator of 71/44 and ((-4)/576)/(((-1701)/1710)/21)?
7128
Let l = -38 - -45. Let o(m) = -8*m. Let b be o(-1). Let g = b - 5. Calculate the least common multiple of g and l.
21
What is the common denominator of -107/80 and (738/(-120) - -8) + -6?
80
Let q = -1569 + 6371/4. Let u = 3413/20832 - 9/992. Let j = -5/21 + u. Calculate the common denominator of j and q.
12
Suppose y - 87983 = 6*y - 4*r, -y = -2*r + 17599. Let l be 6/(-14) - y/(-105). Calculate the common denominator of (-24)/18 - (-118)/l and -22/5.
140
Suppose -2*p + 5*r = -3*p + 2, -5*p + 10 = 3*r. Calculate the smallest common multiple of (3 - 4)/((-3)/30) and p.
10
Let z be 6975/(-63) - 4/14. Let n = z + 114. What is the least common multiple of n and 15?
15
Let v = 87407 - 622644/7. Let z = v + 1537. Calculate the common denominator of z and -59/7.
7
Suppose -21*n + 138 = 2*n. Let p be 0 + 3/(6/184). What is the lowest common multiple of n and p/3 - (-4)/(-6)?
30
Let a be (-19 + -2)*2/(-3). Suppose -a + 2 = -2*o. Suppose -4*y + 3*u + 3 = -14, -5*u + 1 = -3*y. What is the lowest common multiple of o and y?
24
Suppose -8 = -2*o + 2. Let n = -4 + o. Suppose n = 4*w - 3. What is the lowest common multiple of w and 5?
5
Suppose 2*s - 5*l - 1 - 2 = 0, 0 = -4*s + 4*l + 12. Let t = 29 + -3. Calculate the least common multiple of t and s.
52
Suppose -3*j + w - 659 = 284, 1 = w. Calculate the common denominator of j/36 - 14/(-7) and (-106)/(-8)*1/(-9)*2.
18
Suppose -251222 = -12*p + 43942. Let m = p - 860834/35. Calculate the common denominator of m and 111/50.
350
Let o(x) be the third derivative of -x**5/60 + 19*x**4/24 - x**3/3 - 8*x**2. Let r = 8 - 6. Calculate the lowest common multiple of o(18) and r.
16
Let m(y) = -y**3 + 9*y**2 + 10*y - 10. Let s be m(10). Let a be 13 + s + 662*-1. Let r = a + 6577/10. Find the common denominator of r and 39/8.
40
Let q(f) be the first derivative of -f**3/3 + 6*f**2 - 11*f + 2. Let s be q(9). Find the common denominator of (-3 - -1) + (-42)/s and 47/2.
8
Let p be (-42)/8*(-128)/162. Let h = 275/54 - p. Calculate the common denominator of -41/18 and h.
18
Suppose -15*v + 6*v + 27 = 0. Suppose v*d - 4*j + 8 = 34, 46 = 5*d - 4*j. Suppose -27 - 23 = -5*b. What is the smallest common multiple of d and b?
10
Let j(y) = 2*y**2 + 2*y + 8. Let u be j(5). Let b = u - 32. What is the least common multiple of 6 and b?
36
Let p(v) = v**2 + 10*v + 3. Let o be p(-10). Let a(x) = -3*x**o + 7*x**3 - 3*x**3 - 4 + 2. What is the lowest common multiple of a(2) and 12?
12
Let x = -5687 + 278696/49. What is the common denominator of x and -59/49?
49
Suppose -421 = 2*c + 5*g, 6*g - g - 188 = c. Let x = 264059/8 + -33210. Let r = c - x. Calculate the common denominator of r and 19/3.
24
Let u = 233861/1573760 + -2/12295. Find the common denominator of u and 27/14.
896
Calculate the smallest common multiple of (748/10 - 4)*5 and 14.
2478
What is the common denominator of (-40)/6*6/(-2064) and 53/9?
774
Let x = 181/27 - -37/216. Suppose 4*g = 3*g + 5*i - 149, 150 = -g + 4*i. Calculate the common denominator of x and (g/126)/(1/3).
24
Let x = 21 - -15. Let l be ((-90)/x)/(10/3192). Let b = l - -3207/4. Find the common denominator of 42/5 and b.
20
Let t be (-1089)/36*(-6)/(-15). Let x = t - -33/5. What is the common denominator of x and (-196)/(-18)*(-3)/(-4)?
6
Let d be 16/28*(-1 - -8). Suppose 5*q = 2*q - 4*l + 2, d*q - 32 = 2*l. Suppose 24 = 3*g + q. Calculate the smallest common multiple of 11 and g.
66
Suppose -i - 4*f - 4 = -2, 3*i + 2*f = 4. Suppose 6 = 2*n + 4*w, w = -i*n - 1 + 7. Suppose 0 = n*r + 2*r - 115. What is the least common multiple of r and 6?
138
Suppose -4*k + 2 = -10. What is the common denominator of 28/3 and ((-19)/k)/(15/10 - 2)?
3
Suppose -3*y + 70 = 2*y. Suppose 0 = -x + 4*k + 6 + 8, 0 = 3*k. Calculate the smallest common multiple of y and x.
14
What is the lowest common multiple of (6*(-3)/(-30))/((-2)/(-40)) and 27?
108
Let k = -4831/9 - -541. Let w = -8122/7 - -1165. Find the common denominator of w and k.
63
Let u = 16 + -14. Suppose 0 = o - 14 + u. Suppose -7*l = -o*l + 15. What is the lowest common multiple of l and 8?
24
Let l(d) = -2*d - 16. Let y be l(-8). Calculate the lowest common multiple of 4 and 3 + (3 - 2 - y).
4
Let v = -41/13987 + -771578417/153857. Let w = v + 5019. What is the common denominator of 81/2 and w?
22
Let d = 89852/74019 + -4/2243. Calculate the common denominator of ((-1563)/27 - 3)*78/(-1456) and d.
462
Let a = -19 + -397. Let r = a + 5813/14. Let l = 2305 - 46083/20. What is the common denominator of l and r?
140
Let u be -6*2/((-4)/(-5)). Suppose 2*n - 5*i + 37 = 0, n + i = -3*n - 41. Let w = n - u. Calculate the lowest common multiple of 2 and w.
4
Let o be 70/(-12) - 22/132. Let u be (o/(-8))/((-7)/(-28)). Suppose 6*t + u - 15 = 0. What is the smallest common multiple of t and 2?
2
Let z = -15 + 21. Calculate the smallest common multiple of z and (800/(-15))/(-10)*(-54)/(-36).
24
Suppose 0 = -2*j - j + 6. Suppose j*z - z = 2. Calculate the lowest common multiple of 16 and ((-36)/(-6))/(-1 + z).
48
Let j be 6/4*(-60)/(-9). Let i = -4 + j. Let z = 2 + -1. What is the lowest common multiple of i and z?
6
Calculate the least common multiple of 50 and (-13 + 9)*1/(-4)*55.
550
Let l be (-8)/(-36)*51*-3. Let r = -18 - l. Calculate the lowest common multiple of 78 and r.
624
Suppose -12*c = -817 - 83. What is the smallest common multiple of 11 and c?
825
Let r be (-1)/((-9)/282)*(-12)/(-8). Let a = 49 - r. What is the lowest common multiple of 14 and a?
14
Let s(p) = 9 + 7 - p - 6 + 2*p. Let b be s(-6). Find the common denominator of -29/4 and -43 - (12/b)/3.
4
Let d(l) = -116*l**3 - l**2 + 4*l - 4. Let q be d(2). Let a = -9241/10 - q. Find the common denominator of (-298)/12*1*-1 and a.
30
What is the common denominator of -93/4 and (-9)/48*70/6?
16
Calculate the lowest common multiple of (-302)/(-38) + 26/494 and 288.
288
Let a = -5 - 4. What is the lowest common multiple of (a/18)/((-1)/18*1) and 28?
252
Suppose 11*o + 55 - 88 = 0. What is the least common multiple of 75 and o?
75
Let b(h) = -159*h + 336. Calculate the lowest common multiple of 124 and b(2).
1116
Let u(n) = 6*n - 29. Calculate the least common multiple of u(5) and (22/5)/((-20)/(-50)).
11
Let c(u) = 5*u**2 - 8*u - 9. Calculate the lowest common multiple of 8 and c(-1).
8
Let r(t) = -t**3 + 6*t**2 + t. Let p(k) = k**3 - 2*k**2 - 2*k + 3. Let i be p(3). What is the smallest common multiple of 6 and r(i)?
6
Let j(k) = -k**2 + 14*k - 21. Let x be j(11). Let i = -11 + x. Calculate the smallest common multiple of -2 + (-2)/(-1) + i and 1.
1
Let k = 27239 + -3704577/136. Find the common denominator of 43/28 and k.
952
Let f(h) = -h**3 - 29*h**2 - 57*h - 57. Calculate the least common multiple of 42 and f(-27).
168
What is the common denominator of -59/9 and 120/18*(-38)/144*-1?
54
Suppose 0 = -24*b - 351 + 495. Calculate the smallest common multiple of 560 and b.
1680
What is the least common multiple of (-354)/(-11) + 64/(-352) and 12?
96
Let k = 54/2273 - -584073/386410. Let z = k + -3/85. Calculate the common denominator of z and (-12)/(-18) + 94/12.
2
Suppose 18*h = 10*h + 296. Let p = h - 29. What is the lowest common multiple of p and 2/(4/18*3)?
24
Suppose 107 = -7*n + 317. What is the smallest common multiple of n and 30?
30
Suppose 5*h + 3*n - 1301 = 160, -4*h + 2*n = -1160. Calculate the common denominator of (-1)/(120/(-844)) - 12/(-15) and 2/(-2) + h/(-42).
42
What is the common denominator of (-248)/810 - (-9)/(-45) and 97/54?
162
Suppose 3*g = 2*l - 13, -l - 7 = g + 2*g. Suppose -y + l*h = -15, y + h = -0*h + 6. Let f = -7 - -13. Calculate the lowest common multiple of f and y.
18
Suppose 4*r = -12*r - 133280. Calculate the common denominator of (94829/r)/19 + 6/14 and 91/2.
170
Let h = 69/14 + -86/21. Find the common denominator of -85/36 and h.
36
