1/40383. Calculate the common denominator of 1/(-14*(-3)/12) and d.
63
Let b(s) = -s**2 + 5*s - 2. Let r be b(3). Let g = 55 + 35. Suppose p + r*p = g. What is the least common multiple of p and 16?
144
Let o = 7 + -10. Find the common denominator of (-582)/(-2)*(-22)/132 and 0/o + 226/(-20).
10
Let i(x) = 4*x**3 - 4*x**2 + 3*x. Let s be (-72)/(-30) - (-2)/(-5). Let m(k) = k**2 - 4*k + 1. Calculate the least common multiple of i(s) and m(-3).
22
Let b = 11 + 14. Let i = b + -19. Calculate the common denominator of 5/8*i/(-10) and -101/2.
8
Calculate the lowest common multiple of 12 and (3 + (-27 + 1 - 1))/(-1).
24
Let y(h) = h - 7. Let l be y(-6). Let m = 1 + l. Calculate the common denominator of (59/(-28))/(m/48) and -54/5.
35
Let y = -138 + 236. What is the lowest common multiple of 21 and y?
294
Let j = 183 + -263. Let i = -3218/5 - -45267/70. Calculate the common denominator of -2*(-2)/j*-109 and i.
140
Suppose 3547 - 295 = 4*d. What is the common denominator of 1/14 and (21/(-28))/(-1 - d/(-1002))?
42
Let d be (126/4)/(145/(-2186770)). Let j = d - -48480386639/102051. Let k = j + -1/391. What is the common denominator of -39/2 and k?
18
Let w be (-3 - (-65)/25)*5. Let m be w - (8/75 - 2). Let v = m - -121/150. What is the common denominator of 39 and v?
10
Let o = 8/145 + -589/58. Let m be 1*(4 + (1 - 2)). Find the common denominator of 9/m*38/84 and o.
70
What is the common denominator of (-928)/192*(-2)/12 and -103/6?
36
Let i be ((-56)/20 - 2)*470. Let v = 31621/14 + i. Find the common denominator of v and 97/20.
140
Let c(a) = -a**2 - 4*a + 1. Let j be c(-4). Let y = 18792/5 + -3771. Find the common denominator of j - (3 + 2/(-7)) and y.
35
Let r = 18035/18 + -1009. Calculate the common denominator of -3/56 and r.
504
Find the common denominator of -109/28 and 4/3 - ((-18305)/1176 - -16).
168
Let t(l) = -2*l - 11. Let q(m) = 2*m**3 + 4*m**2 + 5*m + 4. Let z be q(-2). Let h be t(z). Calculate the common denominator of 16/7 and 2 + 95/2 + h.
14
Let z = -4 + 8. Suppose 0 = 3*r - l - 43, 5*r - 23 - 30 = -3*l. Let v = r - 2. What is the least common multiple of z and v?
44
Suppose 3*b - 435 = -3*v, 0 = -4*b + 5*b + 4*v - 157. What is the least common multiple of b and 4?
564
Let x = 11 - 10. Suppose 0*r + 10 = r - 4*y, y + x = r. Calculate the least common multiple of 11 and 2/(r*5/(-5)).
11
What is the common denominator of (-21)/(-35) + 259/(-15) and 48/(-12)*35/1230*-3?
123
Suppose 968*o = 979*o - 3256. What is the least common multiple of o and 11?
3256
Let q = 115/3 - 38. Suppose g = 2*g + 1, 3*z - 128 = -4*g. What is the common denominator of q and (-7)/z*(-8 + 0)?
33
Suppose -104*v + 95 = -1985. Let g = -3 - -4. What is the lowest common multiple of g and v?
20
Suppose -4*f + 10*f - 60 = 0. Suppose f*d + 48 - 228 = 0. What is the lowest common multiple of 16 and d?
144
Let f(m) = 3*m**2 + 10*m + 3. Let k = 18 + -22. Let s be f(k). Calculate the smallest common multiple of ((-10)/2)/(10 - s) and 7.
35
Let v = -192 + 213. What is the least common multiple of v and 2?
42
Let j be 3295/(-840) - 2/7. Let m = j + -33/8. Calculate the common denominator of m and 35/8.
24
Let v = 62 - 38. Suppose 5*b + 14 = 5*k - 26, v = -5*b - 3*k. What is the lowest common multiple of b*(-6)/4 - 4 and 2?
10
Let w(h) = -118*h + 22. What is the least common multiple of w(0) and 174?
1914
Let u(k) = -k**3 + 7*k**2 - 3*k - 7. Let q be u(5). Suppose 5*c = -47 - q. Let v = -3 - c. Calculate the least common multiple of 16 and v.
48
What is the common denominator of 146/21 - (-8)/(56/(-21)) and 23/516?
3612
Let v(a) = -2*a**3 - 18*a**2 + 4*a + 36. What is the least common multiple of 35 and v(-11)?
2380
Let n = 1074652/7 + -23798241/154. Let k = -1011 - n. Find the common denominator of k and 33/14.
154
Suppose 5*z = -25, -k + 3*z - 12639 - 7505 = 0. Let m = k + 362771/18. What is the common denominator of m and ((-54)/(-40))/((-7)/(-42))?
90
Let u(c) = -2*c**2 - 38*c - 9. Let m be u(-17). Let v = 81 - m. What is the least common multiple of (-1 + 0)*(-1 - 7) and v?
88
Let m = -136 + 200. Let o = m - 24. Calculate the smallest common multiple of o and 44.
440
Suppose 2*h + 18 = -h + 3*t, -h + 3*t + 2 = 0. Let j = -2 + h. Calculate the common denominator of -30/7 and j/(-3) + (-83)/7.
7
Let j = -16 - -32. Find the common denominator of (957/(-44))/(1 + 0) and (-246)/(-9)*(-4)/j.
12
Let q = -1027/1392 - -8/87. What is the common denominator of q and -83/18?
144
Let v(j) = j**2 - 25*j + 160. What is the lowest common multiple of v(17) and 24?
24
Let g = -2437/5 + 28709/60. Let u be ((-22)/(-33))/((-1)/228). Calculate the common denominator of g and (u/160)/(4/(-50)).
24
Let g(r) = -2*r + 18. Let u be g(9). Suppose 10*m + 2*m - 288 = u. Calculate the smallest common multiple of m and 27.
216
Let i be 4/(-18) - (-200)/(-72). Let n be 112/i*(-6)/4. Suppose -5*y = -y - n. What is the smallest common multiple of 6 and y?
42
Let a be ((-3)/(-10))/((-5677)/(-42)). Let w = a + 295583/194640. Find the common denominator of -95/6 and w.
48
Let x(g) = g**2 - 44*g - 117. What is the smallest common multiple of x(49) and 10?
640
Let b = -804551605/5443 - -147814. Let u = 506151/87088 - b. Find the common denominator of 87/4 and u.
16
Suppose -3*i - 1 = -10. Suppose -2*r = -3*l, i*r - 9 = -0*r. Calculate the smallest common multiple of 4 and l.
4
What is the common denominator of (-401)/(-132) + (-152)/114 and -117/392?
4312
Let q(o) = o**3 + 7*o**2 - 3*o - 19. Calculate the lowest common multiple of q(-3) and 248.
3224
Let g = -647 - -761. What is the least common multiple of g and 72?
1368
Suppose -19 - 5 = 3*l. Let o = l + 13. Suppose -h - 17 = -q, -6*q + 71 = -2*q - o*h. Calculate the least common multiple of 12 and q.
84
Suppose 0*j + 2*j = l + 69, -j + 38 = -4*l. What is the lowest common multiple of -2 - -18*(3 - (-2 + 4)) and j?
272
Suppose -208 = -m - 3*m. Let g(p) = -p + 33. Calculate the smallest common multiple of g(17) and m.
208
Let w = 108/59 + -6412/3245. What is the common denominator of -3 + 1 - (-1122)/(-495) and w?
165
Suppose 0 = -4*f - u - 3*u - 704, u + 530 = -3*f. Let x = f + 1591/9. Let q = 53/63 + -2017/126. What is the common denominator of q and x?
18
Let g = -173495 - -47364052/273. Calculate the common denominator of g and 68/195.
1365
Let c be 2*(0 - 60/(-8)). Let l = c - 8. What is the smallest common multiple of 28 and l?
28
Suppose 0 = 3*h + h + 8. Find the common denominator of 19/(-11) - (-1)/h and 18/(-36) - (((-852)/(-80) - 4) + -7).
220
Suppose 154 = 2*m + m - 5*j, -2*m - j + 94 = 0. Suppose 69*c - 250 = 302. What is the smallest common multiple of c and m?
48
What is the lowest common multiple of 4 and (39/(-65))/((-3)/120)?
24
Let r(z) = -z**3 + 5*z**2 + 6. Let l(v) = -v**2 + 9*v - 9. Let h be l(7). Let k be r(h). Calculate the common denominator of (-230)/36 + k/(-27) and -43/8.
72
Suppose 2*o - 3*o + 3*b = 300, 3*o = 3*b - 870. Calculate the common denominator of ((-21)/(-14))/(99/o) and -53/8.
88
Calculate the common denominator of 425/330*(3 - 57/15) and 61/22.
66
Let x = 79/25 + -2607/200. Let y = -824 - -4997/6. What is the common denominator of y and x?
24
Let k(n) be the second derivative of n**3/6 + 45*n**2/2 + n + 17. Calculate the smallest common multiple of 25 and k(-15).
150
Let r be (-3)/2*2/(-3). Let n(a) = 1 + 5*a + 2*a + 0. What is the least common multiple of n(r) and 7?
56
Let z = -40 + 58. Suppose 2*n = 3*y + 2, -4*y - 19 = 5*n - 1. Calculate the least common multiple of z and (-3 - n)/(((-6)/28)/3).
126
Let t = -22238647/18534 + 156/3089. Let y = 1204 + t. Let q = -32891/9135 - -1/1827. Find the common denominator of q and y.
30
Let r = -31/39 + -105/26. What is the common denominator of -50/597 and r?
1194
Let k = 34 + -6. Let a be (-4)/(-1 + 20/k). Find the common denominator of 73/4 and (-3 - 218/a)/(-4).
28
Calculate the least common multiple of 5 and 4*(-1)/2 + 45.
215
Suppose -5*r + 4*f = -279, -2*r + 134 = -0*f + 4*f. Suppose -5*s - 3*d + r = 0, -4*s = -2*d + 4 - 38. What is the smallest common multiple of 11 and s?
110
What is the common denominator of -3*((-9)/((-65016)/21776) + -3) and -1/129?
903
Let v be 30/4*-1*(-4)/3. Let k = 12 - v. What is the smallest common multiple of k and 5?
10
Suppose -4*g 