9. Let s be x(40). Let i(m) = m**3 + 20*m**2 + 20*m + 25. Calculate the smallest common multiple of l and i(s).
6
Let n be -3 + -1 + (-7575)/(-25). Suppose -5*a - n = -3*u, 0 = -5*u - a + 5*a + 494. Calculate the lowest common multiple of u and 77.
1078
Suppose 7*w - 1320 = -15*w. What is the common denominator of 103/30 and (w/55)/(-6) + 217/(-198)?
90
Calculate the common denominator of -14/65 and (-352)/(-4680) - (-16)/(-36).
65
Let m = 207828 - 6650423/32. Find the common denominator of m and (-1)/2 - 126/32.
32
Let a(x) = x**3 - 13*x**2 - 12*x + 470. Calculate the least common multiple of a(10) and 17 - ((-2 - -3) + 1).
150
Let z = -1/8197 + 844297/49182. Suppose 180 - 72 = 6*p. Calculate the common denominator of 15/p*(-166)/(-10) and z.
6
Find the common denominator of 33/92 and (253/(-69) - -4)/(704/474).
8096
Find the common denominator of 109/42 and (-8)/(-128)*-4 - (565/24)/(-5).
168
Suppose 3*n - 2*k + 17 = -k, -n + 4*k = -9. Let x = n + 14. Let p(q) = 3*q**2 + 4*q + 2. Calculate the least common multiple of p(-1) and x.
7
Calculate the common denominator of ((-429)/(-34452))/(2 - (-31)/(-15)) and -85/24.
696
Let k = -171/9130 - 35246/6039495. Calculate the common denominator of -62/189 and k.
2646
Let b = 47 - 27. Let p = 84 + -85. Let o(x) = -8*x**3 + x**2 - x - 2. What is the smallest common multiple of o(p) and b?
40
Let s = -727 - -6527/9. Let m = s - 98/9. Let c = -4855 + 53391/11. What is the common denominator of m and c?
33
Suppose 0 = 154*s - 149*s + 825. Find the common denominator of ((-3)/(s/22))/(92/235) and -59/16.
368
Let w be 85*((-140)/(-25) - (-2)/(-5)). Suppose 5*j + 3*i - w = 820, -5*i = -j + 258. Calculate the lowest common multiple of j and 184.
2024
Suppose -7 = 2*s - 5*y, -3*s - 4 = 2*y - 3*y. What is the least common multiple of 1 and s*4/4*(4 - 5)?
1
Suppose -7858*t = -7863*t + 19260. What is the smallest common multiple of t and 3424?
30816
Suppose -6*l - 283 = -5*j - 8*l, -2*j - 4*l = -110. Let z = 80 - j. What is the common denominator of z and -59/10?
10
Let y = -9500 - -9996. Calculate the least common multiple of 16 and y.
496
Let g be (-3)/21 + (-22)/(-7). Suppose 0 = x - 3 - g. Suppose 2*n - 12 = -4*z, -5*z + 9*n = 4*n. What is the least common multiple of x and z?
6
Suppose -4*f + 2*q + 1954 = 0, 1016 = 4*f - 5*q - 953. Calculate the smallest common multiple of 15 and f.
2430
Let f(q) = -6*q**3 + 30*q**2 + 105*q + 15. Let c(b) = b**3 - 6*b**2 - 21*b - 3. Let i(y) = -11*c(y) - 2*f(y). What is the common denominator of 51/2 and i(-4)?
2
Let a = 433531/644085 - -14/14313. Let v = -36277039/150 - -241846. Calculate the common denominator of a and v.
1350
Let v = -11211261/116 + 96648. Find the common denominator of ((-1797)/(-21564))/((-1)/(-206)) and v.
348
Suppose 4*d = -3*g + 59 - 12, g + 11 = 4*d. Let w = 20669/19408 + -3/1213. Find the common denominator of w and g/(-106*((-12)/(-3))/(-4)).
848
Suppose 2*o = 365 + 85. Let x = o - 217. Calculate the least common multiple of x and 8.
8
Suppose 5*x + 2*f - 7*f + 40 = 0, 14 = -x + 4*f. Let b be (4/x)/((-1)/((-3)/(-2))). Calculate the common denominator of (-13)/11 + b/((-1)/(-2)) and 13/8.
88
Let l = -722161/5961312 - 8/20699. What is the common denominator of 131/1872 and l?
3744
Calculate the common denominator of 403199/171456 - (-8)/(-6) - 1 and -127/6.
9024
Let j(k) = -2*k**3 + 14*k**2 + 70*k + 86. What is the lowest common multiple of j(-7) and 132?
2904
Let v(q) be the third derivative of -q**6/120 + q**5/10 - q**4/8 - q**3/3 - 2*q**2. What is the lowest common multiple of 86/(-48)*-6 + 5/4 and v(4)?
36
Let u(r) = -r**3 - 5*r**2 + 4*r - 4. Suppose 2*s + 4*q + 186 = 238, -15 = -3*q. Calculate the least common multiple of u(-6) and s.
16
Let j be (-9)/324*(4271032/(-6))/2. Let z = j - 9888. Find the common denominator of z and -79/18.
54
Let r = 32 + 59. Let k = r + -356/3. Let h = 502/15 + k. Find the common denominator of 33/10 and h.
10
Let d(m) = 9*m + 115. Let s be d(-9). Suppose 27*h + 399 = s*h. Calculate the smallest common multiple of 4 and h.
228
Let n be (-5)/3*(-5)/((-25)/(-15)). Suppose 4*j - 4*x - 144 = -0*j, 0 = -n*j + 4*x + 179. Let m = j + -32. What is the lowest common multiple of 11 and m?
33
Let j = -7662 + 8658. What is the smallest common multiple of j and 10?
4980
Calculate the common denominator of -179/390 and (0 - 20/12) + 151/78.
390
Suppose 5*v - 2*f - 21 = -2, 0 = 2*v + 5*f + 4. Suppose -72 = -5*p - v*k + 3, -2*p + 4 = -4*k. Calculate the least common multiple of 20 - ((1 - -1) + 0) and p.
36
Suppose 0 = 3*o - 5*x - 587, 362 = 3*o - o + 4*x. Let t = o + -185. Calculate the lowest common multiple of t and 16.
16
Find the common denominator of (142/12)/((-350)/100) and -16/273.
273
Let y be -242*((-9)/(-2) + 0). Let a be 1/(-6)*-68 + (-2)/6. What is the common denominator of -47/10 and ((-1)/10)/(a/y)?
10
Suppose 0 = -4*l - h - 286 + 1077, 5*h = -3*l + 589. Calculate the smallest common multiple of l and 2079.
4158
Suppose 7*c - 25*c = 55*c - 219. Calculate the least common multiple of c and 430.
1290
Let g = 73889/14 - 5286. Find the common denominator of g and -25/73.
1022
Let o = -79 + -788. What is the common denominator of -109/50 and o/120 - -5 - (-3 - 1)?
200
Let y = -50 - 390. Let l = y - -3421/8. Let h = 1644 - 5006/3. Find the common denominator of l and h.
24
Let o = -9864369 - -3255247849/330. Let q = -203/10 + o. Let f = 2031 - 85445/42. Find the common denominator of q and f.
462
What is the common denominator of -10/21 and 4119/(-10728) - 8/192*-9?
3129
Suppose -24 = -2*r + 30. Suppose -o + 4*c = -18, c = 3*o - r - 60. What is the least common multiple of 18 and o?
90
Let w = 5689/2772 - -1/63. Find the common denominator of 1287/(-495) + (-5118)/(-1680) and w.
616
Let u(t) = -t**2 - 14*t - 7. Let l(x) = x**2 + x - 17. Let p be l(4). Calculate the least common multiple of 3/(-5)*(p + (1 - 9)) and u(-10).
33
What is the common denominator of 0 + 116/112 + -1 and (-11)/21*(6 - (1001/26)/7)?
84
Let u = -68 - -93. Suppose -3*v - 5*s = -10*s + u, 0 = v - 3*s + 3. What is the common denominator of v and -59/76?
76
Suppose 4*t = -4*r + 1180 + 1444, -2*r - 5*t + 1330 = 0. What is the least common multiple of 325 and r?
650
Let f = 6980221/20 + -349017. Calculate the common denominator of (-1)/3 - 334/(-60) and f.
60
Let k(m) = -6*m**2 + 24*m + 7. Let s be k(10). Let q = s + 357. Calculate the smallest common multiple of 12 and q.
12
What is the common denominator of (-4)/21 + -11 - -8 and -25/477?
3339
Let m be (-20)/((-10)/(-2)) + 6. Let k(z) = -7 + m + 2 + 4*z**2 + z + z**3. Calculate the smallest common multiple of k(-3) and 11.
33
Let t(b) = b**2 - 109*b + 2388. What is the smallest common multiple of 2500 and t(91)?
7500
Let l(j) = 7038574*j + 45. Let k be l(13). Let v = k - 4027215309/44. Let p = v - -26116. Calculate the common denominator of p and 83/44.
44
Suppose 16*u + 3990 = 73*u. What is the least common multiple of 255 and u?
3570
Let h = -5 - 1. Suppose -5*u - 5 + 35 = 0. What is the smallest common multiple of 28/42 + ((-26)/h - 0) and u?
30
Let w = 44 + 25. What is the common denominator of -2 + -314*2/(-112) and (-3 - 0) + w/18?
84
Let a be (113290/56312)/(6/634). Let u = 2551/12 - a. Let p = u + -429419/140780. Calculate the common denominator of p and 63/76.
380
Let s = -139 + 82. Calculate the least common multiple of 60 and (-3072)/s + 6/57.
540
Let f(r) = r**2 - 28*r + 32. Let b be f(25). Suppose -y - 2*z = -5*y + 36, 2*z - 13 = -3*y. Calculate the least common multiple of (b/(-86))/(2/108) and y.
189
Suppose -12*t = -33*t + 3003. Let o = 171 - t. What is the least common multiple of 52 and o?
364
Let v(b) = b**3 - b. Let s(f) = 3*f**3 - 17*f**2 - 4*f + 19. Let d(u) = -s(u) + 4*v(u). Find the common denominator of 17/(-34)*9/(-6) and d(-17).
4
Let k(o) = -3*o + 0*o - 28 + 33. Let c be k(-18). Suppose -14 = 5*q - c. What is the smallest common multiple of q and 3?
9
Let h(k) = 591 + 6*k - 599 + 11*k**2 + 18*k. What is the lowest common multiple of 56 and h(-4)?
504
Let u be 178241010/(-425)*-1*1/4. Let k = u + -104848. What is the common denominator of k and -97/2?
170
Let j be 4*(-6)/4*1. Let m(r) = -r**3 - 7*r**2 - r + 7. Let o be m(j). Let c(t) = -t**3 - 23*t**2 + t + 31. What is t