49 = 5*a - h + 2*h, a + 13 = 3*h. What is the lowest common multiple of 88/40 - -2 - 1/5 and ((-6)/(-3))/((-2)/a)?
20
Suppose -3*g = 3*k + 39, k - 3 = 2. Let t = -20 - g. What is the common denominator of 29/22 and (-58)/(-44) - (t - -4)?
22
Let b = -25573517/324 - -78931. What is the common denominator of 88/15 and b?
1620
Let n(d) = d**3 - 6*d**2 + 14*d - 1. Let m be n(7). Suppose 0 = x - m + 43. Calculate the least common multiple of ((8/(-3))/1)/(134/(-201)) and x.
412
Let n = 3970 - 3142. What is the lowest common multiple of 1449 and n?
5796
Suppose 0 = -8*v - 4885 - 3939. Let p = v + 1137. Let a(q) = q - 4. What is the smallest common multiple of p and a(5)?
34
Let h = 11652/5 + -2340. What is the common denominator of (-2454)/2970 + 1 - (-2)/11 and h?
45
Let i = -13600/19 - -717. Let l be (-4006)/(-12) - (-2)/4. Let w = 358 - l. What is the common denominator of i and w?
57
Let o = 20391 - 204273/10. Let q = o - -3053/85. What is the common denominator of -53/4 and q?
68
Let g(j) = j**3 - 7*j**2 - 6*j - 11. Calculate the lowest common multiple of g(8) and (-8 + 364/49)*(-21)/6.
10
Let h(u) = -23*u - 92*u**2 + 91*u**2 + 9*u + 18. Calculate the smallest common multiple of ((-8)/6)/((-4)/90) and h(-14).
90
Let m(x) = 2*x**2 + 6*x. Let w = -18 - -14. What is the lowest common multiple of m(w) and 3 + 3 - (2 - (0 - -2))?
24
Let w = -1371/16 - -10461/112. Calculate the common denominator of w and -5/2114.
2114
Suppose 11*q = 10*q + 3*w - 149, -5*q = 4*w + 688. Find the common denominator of -73/12 and q/(-126) - 1 - 109/225.
300
Let b(h) = 69 + 13*h + 9*h + 29*h. Calculate the smallest common multiple of 180 and b(-1).
180
Suppose 0*y + 154 = 7*y. Calculate the common denominator of (-1293)/(-2016) + y/77 and 47/6.
96
Let q(n) = n**3 - 10*n**2 + 7*n + 11. Let r be q(7). Let o = -76 - r. Calculate the common denominator of 7/9 and o/(-210) + 40/140.
90
Calculate the lowest common multiple of 6024 - 43/(258/144) and 4800.
24000
Let d be (-4)/30 + (-12488)/(-60). Calculate the smallest common multiple of 318 and -5 + 51/9 + d/12.
954
Suppose 125 = 16*b - 115. Suppose 26*i - 60 = 24*i. Calculate the lowest common multiple of i and b.
30
Let i be (-166)/(-10) - 2/(-5). Let z = 20 - i. Let m(w) = 4*w**2 + 2. What is the least common multiple of m(z) and 4?
76
Let f = -1/53 - 573/530. Find the common denominator of (-46)/69 + 134/(-24)*(-12)/(-30) and f.
10
Suppose 0 = 5*m + 40. Find the common denominator of (4/2 - -7)*(-63)/(-294) and 1 + m + 4 - (-271)/42.
42
What is the smallest common multiple of 34 and ((-11)/21 - (-8)/(-24))/((-1)/14)?
204
Suppose -u - 4*u + 117 = 3*s, -29 = -u - 2*s. Let o = -60822 - -60836. Calculate the lowest common multiple of u and o.
42
What is the common denominator of -7 - (258/108 + -5 - -3) and -7/648?
648
Let i = 269218/33 + -8159. What is the common denominator of 19/440 and i?
1320
Let j = 11 - 1. Let z be (1132/(-5))/(-17 - 348/(-20)). Let i = z - -578. What is the smallest common multiple of i and j?
60
Suppose -3*u + 3 = 0, 6*x - 137 = -3*u - 8. What is the smallest common multiple of 124 and x?
2604
Suppose j = 23*r - 26*r + 74, 2 = -r + 3*j. What is the lowest common multiple of r and 88?
88
Let j = 21850894904 - 1639013775824521/75009. Let l = j - 2/2273. What is the common denominator of 3 - (-58)/180*3 and l?
330
Let n(p) = -6*p - 13. Let o be (-2 - -8)*(10/(-15) + 0). Let l be n(o). Suppose 0 = -3*g + 16 + l. Calculate the least common multiple of 6 and g.
18
Suppose 0 = -4*o + 2 + 6. Suppose -168 = 12*v - 40*v. Suppose -2*u - 3*g = -g - v, 0 = -o*g - 10. What is the lowest common multiple of u and 3?
24
Suppose -11*c + 3299 + 29459 = 0. Calculate the least common multiple of c and 2.
2978
Find the common denominator of 13/1608 and (737/(-99))/((-290)/(-261)).
8040
Suppose -103*d + 104*d + 5*q - 170 = 0, -5*d - 3*q = -894. Calculate the smallest common multiple of d and 144.
720
Suppose 122 = 2*f - 13*g + 17*g, 4*f - g = 226. Let n = 64 - f. Calculate the smallest common multiple of n and 33.
231
Let a(i) be the third derivative of -7*i**4/24 + 5*i**3/2 - 66*i**2. Calculate the lowest common multiple of 6 and a(1).
24
Calculate the common denominator of 7/2563 and (5/2 + -1)*(-61)/24156*1308.
5126
Let s be -3*(-2)/(2/5). Let j = 1 + s. Let d(y) = y**2 - 23*y + 62. What is the least common multiple of d(3) and j?
16
Let h = -197 - -201. Suppose 20*w - 192 = 15*w + h*i, -4*w + 162 = i. Calculate the lowest common multiple of w and 10.
40
Let a = 70929/22 + -3225. What is the common denominator of 9/(-60)*(-9)/(-6) and a?
440
Suppose -435*s + 434*s + 26 = 5*t, -10 = -5*s - t. Calculate the smallest common multiple of s and 606.
606
Let v be (-10)/(-70) - (-154062)/(-19607). Let x = v + 1/2801. What is the common denominator of x and -44?
7
Let i = 24 + -34. Let g = -5511265/122 + 45174. What is the common denominator of g and 6 + i - (-242)/24?
732
Let v(z) = -10*z + 7. Let k be v(-5). Calculate the common denominator of -7 - 816/(-80) - (0 - 2) and 1 + ((-27)/k - 1).
95
What is the lowest common multiple of 108904/104 - 18/1053*9 and 8?
8376
Let c = 13149/80 + -849/5. Calculate the common denominator of c and -7/4702.
37616
Find the common denominator of 9/380 and (114/(-618640)*-187)/(3/(-14)).
14060
Let k be (2/(-4) + (-39)/26)*3. Let m(i) = 2*i**2 + 1. Let g be m(1). Calculate the least common multiple of 7 - (2 - (g + k)) and 12.
12
Find the common denominator of ((-6052)/(-340))/((-828)/15) and 93/2.
276
Let i be 0 - (10198/(-10) + 2). Let c = i - 1011. Let j = -328129/8 - -41011. What is the common denominator of j and c?
40
What is the smallest common multiple of 168 and 35/(805/2001) + (-6)/2?
168
Suppose -15*w + 19*w - 1826 = 3*j, -2*w - 2*j + 906 = 0. What is the lowest common multiple of 5 and w?
455
Let i = -1144369 + 857520322093/749339. Let c = -1034837079/29973560 - i. Let o = c - -35. Calculate the common denominator of -83/4 and o.
40
Let j = 659 + -273. Let i = 512 - j. What is the lowest common multiple of i and (30/(-8))/((-6)/16)?
630
Let i = -8572453/11176 + -117/1397. Let q = 773 + i. What is the common denominator of q and -109/72?
72
Let t = -11705 - -13889. What is the least common multiple of 2 and t?
2184
Let c(g) = g + 3. Suppose 0 = -4*u + 2*r + 4, -5 = -5*u + r - 6. Let p be c(u). Calculate the common denominator of -52/11 and ((-36)/11 + p)*-1.
11
Let i = 4922 + -4895. Calculate the lowest common multiple of i and 11.
297
Let h = 8901/10 + -6265999/7040. Calculate the common denominator of h and -1/220.
7040
Let q(o) = -71*o**2 + 3*o - 7. Let a be q(-2). Calculate the smallest common multiple of 104 and 80/15*a/(-18).
1144
Suppose 29*y - 957 - 54 = -199. Calculate the lowest common multiple of y and 1484.
1484
Calculate the common denominator of (1/(-3)*(-3234)/28 - 4)/40 and -91/40.
80
Let k = -9/134 + 3721/536. Let l be 1190/(-60) - (-3)/(-18). Calculate the common denominator of (-50)/l*44/(-15) and k.
24
Let g = 403576 - 717961729/1779. Calculate the common denominator of g and -89/30.
17790
Suppose -4*b + 3*d + 22 = 0, 2*b + 4*d - 5*d = 12. Let o = -88253/43060 + -1/2153. Find the common denominator of o and 2/b + (-649)/(-1232).
80
Let c(w) = -w**3 + 9*w**2 - 10*w + 15. Let l be c(8). What is the common denominator of -34 and l*(483/(-6))/7?
2
Let n be (-8)/(-32) + 26/(-8). Let v be (3 + n + 4/8)*16968. Let k = v + -84911/10. What is the common denominator of k and -1/5?
10
Let d = 153629/180 - 7636/9. Find the common denominator of 9/1060 and d.
1060
Calculate the smallest common multiple of 260 and 140/4 + -5 + 0/(-7 - -9).
780
Let x(s) = 36*s - 18. Let c be x(-3). Let v be c/36*5*-24. Find the common denominator of (-4)/10*(20375/v)/5 and 1/12.
84
Calculate the common denominator of (520/24 + 20)/(-2) and -83/1350.
1350
Let p be 6/4*(-2 - 24/(-9)). Calculate the lowest common multiple of 12 + p - 1*(-11 + 6) and 11.
198
Let s be (38/(-114))/((-2)/540). Suppose -20*m = -29*m + s. Calculate the least common multiple of 6 and m.
30
Suppose -459*d + 3*n - 20 = -464*d, -5*d + 20 = 4*n. What is the smallest common multiple of 411 and d?
1644
Let c = -2/21143 - -401729/126858. Calculate the common denominator of 31/7359 and c.
14718
Suppose 4*q = -4*a + 1720, 94*q -