1440
Suppose 5*q - 10 = 95. Let d = 36458 - 36454. What is the smallest common multiple of d and q?
84
Suppose -4*f - 2*f = -4*f. Suppose 2*c - 88 = -f*c. Calculate the common denominator of 97/6 and c/(-11)*(-134)/72.
18
Let l = 344482435 + -22436485474584/65131. Let n = l - 29/341. Let o = n - 5085/764. Calculate the common denominator of o and -29/10.
20
Let c(r) = -4*r - 16. Suppose 30 = 6*k - k. Let s be c(k). Let z = -442/11 - s. Calculate the common denominator of -10/7 and z.
77
Calculate the common denominator of 904/452 + (-898)/460 and 41/5290.
5290
Suppose 0 = 4*v + 3*n + 12, -13*v + 3*n = -12*v - 12. What is the common denominator of (31 - 0) + v + 18/(-12) and 29/50?
50
Let n be (42/(-56))/((-1)/(-528)*-2). Let v = n + -195. Calculate the least common multiple of v and 9.
9
Suppose -3*k + 71 = 2*b, 3*k - 74 = 2*b - 19. Suppose 17*x = k*x + 136. Let h = x + 52. What is the least common multiple of h and 24?
72
Let u be ((-1)/(-375))/(4 - 669556/167395). Let q = 1265/72 - u. Find the common denominator of q and 17/22.
1100
Let k be ((-11649)/99)/(1/33). Let t = 104857/27 + k. Calculate the common denominator of t and -59/14.
378
Calculate the common denominator of 29/16 and (70/(-24)*580/(-210) - 4)/36.
1296
Suppose 2*m + m - 1353 = 0. Suppose 5*k - 249 - m = 0. Find the common denominator of 1*(-3 + 1) + k/(-88) and -101/20.
220
Suppose -186 = -3*d + 3*k, k + 58 = d - 4*k. Let h be 3*(-6)/d - 1152/(-14). Find the common denominator of 7 + -7 + h/104*-2 and 91/10.
130
Let p = -167/210 + 30301/36330. Calculate the common denominator of p and -29/346.
2422
Let f(o) = -10*o + 50. Let p be f(-3). Calculate the common denominator of 17 and 694/30 - (-16)/p.
3
Let i(g) = 6*g - 13. Let w be i(2). Let a be 109924/48 - 3/w. Let f = a - 2305. Calculate the common denominator of f and 127/12.
12
Let l be 52/8 + -5 + (-1)/(-2). Suppose -3*b + 4 - 10 = -l*q, -4*q - 3*b + 30 = 0. Calculate the least common multiple of q and 38.
114
Let q(r) = 3*r**2 - 4*r - 4. Let c(a) = a**3 + 11*a**2 - 41*a - 458. Calculate the smallest common multiple of q(4) and c(-10).
364
Find the common denominator of 1/(-182) + (-140)/(-245) and -1/156.
1092
Let d = -2/93637 - -3277647/16480112. Calculate the common denominator of d and -103/304.
3344
Calculate the common denominator of 121/8748 and 2*((-152590)/(-10800) - 3 - 11).
43740
Let f(h) = -4*h**2 - 212*h - 136. What is the least common multiple of 12 and f(-34)?
2448
Let y(v) = -9*v - 12. Let g be y(-2). Suppose 4*p = 3*n - g*n - 3, 5*n = -5. Suppose p = -o - 6*o + 70. What is the least common multiple of o and 82?
410
Calculate the common denominator of -9 + -6 + 195462/13140 and -46/511.
5110
Let l be (-10)/8 - (-1444)/16. Let m(n) = n**2 - 9*n - 34. Let r be m(15). Let s = l - r. Calculate the smallest common multiple of s and 9.
99
Suppose 2*d = -0*d + 8. Let y(w) = -w**3 + 3*w - 13. Let s be y(-3). Let g(f) = f**2 - 4*f + 5. Calculate the smallest common multiple of d and g(s).
20
Suppose -73 = -7*j - 353. Let y = 446857/30 - 14898. Calculate the common denominator of ((-18)/(-27))/(j/(-38)) and y.
30
Let v(d) = -d**3 + 10*d**2 + 6*d - 42. Let z be (-2 + 0)/(1/(-11)). Calculate the smallest common multiple of v(10) and 4/z + 390/33.
36
Let h = 45772 + -3112565/68. Calculate the common denominator of -29/688 and h.
11696
Let h = 3555 + -35611/10. Let x = -1307851/862260 + 3/28742. Calculate the common denominator of h and x.
60
Let n = 925 + -902. What is the lowest common multiple of n and (1 - 2)*(7 + -9)?
46
Let c = 470 - 456. What is the lowest common multiple of 1570 and c?
10990
Suppose -t + c = -173 - 84, -5*t - 4*c = -1312. Let d = -259 + t. Calculate the least common multiple of d and 42.
42
Find the common denominator of 6 + -1 - 35/20 and ((-86)/215)/(232/(-570)).
116
Let z = 5356 - 4741. What is the lowest common multiple of 25 and z?
3075
Let t be (-2)/3*(-28 - -31). What is the least common multiple of (-5 - (-7 + -2)) + (t - -12) and 26?
182
Let c(x) = x**2 - 2*x - 78. Let t be c(-8). Let y(j) = 2*j**3 + j. What is the least common multiple of y(t) and 34?
306
Let v = -844663/90 + 9385. Calculate the common denominator of v and 101/20.
180
Let i = 18288 - 365863/20. Calculate the common denominator of (4255/416)/5 + 3 + (-80)/26 and i.
160
Let r be (-11730522)/(-7204860)*1/((-2)/2). Let p = r - 1/15395. Find the common denominator of p and 63/22.
858
Let g be (13 + -15)*(-2)/8*-2. Let w be (g + -14)*(-12750)/(-9). Let o = -1020043/48 - w. Find the common denominator of o and -53/20.
240
Let f be (-1129818)/144 + (-1)/(-3). Let m = -7836 - f. Find the common denominator of (-21)/(-147) - 1863/(-336) and m.
16
Let n(v) = 12*v**3 + 2*v**2 + v - 1. Let b be n(-2). Let d = -85 - b. What is the smallest common multiple of 88 and d?
264
Let k = -137210/7035313 - 23/11834. Find the common denominator of -7/232 and k.
9512
Let q = 28 - 76. Let m = -45 - q. Suppose m*s + 19 = 3*x - x, 10 = x - 2*s. Calculate the least common multiple of 8 and x.
8
Find the common denominator of (-2357880)/(-124560) - (19 + 0) and 8/2595.
5190
Let w be (-90)/(-135) + 219046/(-6). Let k = w + 1314389/36. What is the common denominator of -97/44 and k?
396
Let w(t) = 15 - 2*t + 6 + 6. Suppose 0*n - 15 = -n. Find the common denominator of 45/8 and w(n).
8
Let d = 1670/13 + -105211/819. Find the common denominator of -59/182 and d.
1638
Suppose -85184 = 24*v + 8*v. Let r = v + 31871/12. Calculate the common denominator of 125/48 and r.
48
Suppose 1 = -2*i + 7. Suppose -69 = -3*z + i*d, 4*d + d = -25. Let o = 2185 - 2163. What is the lowest common multiple of o and z?
198
Let x(w) = 10*w**3 + w**2 - 100*w + 364. What is the least common multiple of 1085 and x(4)?
4340
Let d = 100 - 60. What is the least common multiple of d and (-4)/(-6) + ((-112)/6)/(-8)?
120
Suppose 18868 = 31*r - 84*r. Let f = 380 + r. Suppose 4*b - b = 2*o + 34, 0 = 5*o - 5. What is the lowest common multiple of f and b?
24
Let i = -43092 + 3791985/88. Find the common denominator of i and ((-345)/165)/(1*-8).
88
Let v be (-71 + 69)/((-2)/22). Suppose -v*a - 92 = -24*a. What is the lowest common multiple of 1/(3 - (-53)/(-18)) and a?
414
Calculate the common denominator of 55/477 and 1794/(-52)*(0 - 1 - 2451/(-2430)).
28620
Let u = 5604 + -134573/24. Let v be 2/6 - 27/(-39). Let m = v + 1619/234. What is the common denominator of m and u?
72
Suppose -y + 4 = 3*o - 5, 2*o + y = 6. Suppose -17*d + o*d = -1008. Suppose -12*z + d = -3*z. What is the least common multiple of 6 and z?
24
What is the common denominator of -95/6 and (8 - 332/(-4))/((-32)/(-2))?
48
Suppose 2*a - 2*p = 6, 3*p = -3*a + 7*a - 7. Let h(i) = -6*i**3 - 2*i**2 - i + 4. Calculate the lowest common multiple of h(a) and 9.
414
Let p = 114563/13092 - 2/3273. What is the common denominator of p and (-33945)/(-730)*((-13)/15 - -1)?
20
Let t = -3191 - -3839. Calculate the lowest common multiple of 189 and t.
4536
Let q(g) = -27*g - 302. Let z(w) = 14*w + 152. Let p(k) = -6*q(k) - 11*z(k). What is the lowest common multiple of 10 and p(-5)?
100
Let b = -32118 + 57320. Let q = -1814447/72 + b. Calculate the common denominator of -70/27 and q.
216
Suppose -32 = -2*a - 24. Suppose -56 = a*t + 4*g, 0*g - g - 4 = 0. Find the common denominator of 49/18 and 2/t + 43/(-135).
54
Let k be 25/(-7) - 132/(-231). What is the smallest common multiple of (-3 - 12)/k - (-32 + 29) and ((-7)/(-3) - 0)*3?
56
Suppose 4*g = 4*q + 44, 15*g = 20*g - 3*q - 45. Suppose -5*v + 60 = -0*v. What is the lowest common multiple of g and v?
12
Let r be 6/(-15) - 11/((-1210)/447204). Let z = r + -4062. Calculate the common denominator of z and 81/10.
110
Let f(i) be the third derivative of -16*i**2 - 25/6*i**3 - 1/60*i**5 + 2/3*i**4 + 0*i + 0. What is the smallest common multiple of f(11) and 3?
30
Suppose 2*v = v - 4*q + 228, -870 = -4*v + 5*q. Suppose -4*p + 656 = v. Let w = 63 - p. Calculate the common denominator of 48/29 and w.
29
Suppose 3*b + 4*c + 182 = -54, -5*c = 3*b + 232. Let x = b - -286. What is the smallest common multiple of x and 4?
404
Let l = -871 - -1699/2. Let j = -793099/786 - 1808/131. Let x = -1010 - j. Calculate the common denominator of x and l.
6
Suppose x - 4*x + 348 = 0. Suppose b = -3*q + 15, 