) = -i**3 + 33*i**2 - 74*i + 392. What is the smallest common multiple of 262 and d(31)?
2620
Let i = -16/125 - 5979/7000. Calculate the common denominator of (-81)/48 - (-2)/(-8) and i.
112
Let j(p) = -102*p - 3375. What is the lowest common multiple of j(-46) and 7?
9219
Let c = 43 + -52. Let t be (0 - c/6)/(54/(-10184)). Let f = t - -72089/252. Find the common denominator of f and 31/20.
140
Suppose 3*o = x - 37, 5*o = -3*x + 154 - 43. Suppose -4*k - 2*k = 12. Find the common denominator of x and 0 + k - (2 - 66/(-21)).
7
Let t = 52 + -31. Suppose 0 = 3*m - l - 363, 10*l + 369 = 3*m + 7*l. Calculate the least common multiple of t and m.
840
Suppose -4*v + 23 = -3*v. Suppose -12*p + 13 = -v. Suppose 3*a = -2*f + 15 - p, -15 = 5*f. Calculate the least common multiple of 18 and a.
18
Let h be (-1 - -3)/(7/140). Suppose -4*v = -9*v + h. Calculate the common denominator of (-274)/(-36) + v/16 and -21/4.
36
Let h = 177 - 132. Suppose z - 9 = -3*b + 2*b, 5*z + b - h = 0. Calculate the least common multiple of z and ((-33)/9)/((-2)/6).
99
Suppose 0 = -12*k + 11*k + 3*a + 30, 220 = 5*k - a. What is the smallest common multiple of k and 20?
180
Let z(v) = v**2 - v - 5. Let f be z(0). Let p be (-207)/(-6) - f/(-10). What is the common denominator of 103/42 and ((-85)/p)/(2/(-7))?
84
Let g = 3940 + -70937/18. Find the common denominator of -61/832 and g.
7488
Let u be ((-3)/(-54))/(16/(-56)). Let r = u + -433/180. Let y = 531/56 - 90/7. Find the common denominator of r and y.
40
Let d = -11 - -4. Let m be (1 - (-4 - d)) + 8/2. Suppose -j + m*j = g - 40, 0 = -j. Calculate the smallest common multiple of g and 6.
120
Let v = -22 + 33. Let p = 5692 - 5672. What is the least common multiple of v and p?
220
Let i be (8/5)/((-7)/1960). Find the common denominator of -77/16 and (-2)/13*4*(-147)/i.
208
Let l(o) = o**2 + 269*o - 1869. Calculate the least common multiple of 630 and l(7).
630
Suppose -4*g + 1522 = -5*t, 0 = -t - 105 + 103. Calculate the smallest common multiple of 9 and g.
378
Let l = 256 + -364. What is the common denominator of -31/198 and (9135/l)/(-5) + (-6)/8?
198
Suppose 5740 = -4*i - i - 4*k, i + 1127 = -5*k. Find the common denominator of 620/i*-3 - 2 and -19/44.
1056
Let q = -5006/91 - -733/14. What is the common denominator of 113/364 and q?
364
Let y = 5344 + -3304. Calculate the lowest common multiple of 255 and y.
2040
Let t be (-22)/(-99) - 194/(-18). Suppose 0 = 2*s - t*s - 4*s. Suppose -2*u + 0*u + 26 = 3*a, s = -2*u + a + 34. What is the lowest common multiple of 8 and u?
16
Suppose -788 = -20*s + 132. Let k = -7/24 + -37/24. Calculate the common denominator of s/161*(-959)/12 and k.
6
Suppose -3*u = -u - 2*n - 26, -65 = -5*u - 2*n. Suppose -6*p + u = -35. Calculate the least common multiple of p and 228.
456
Let c = -35063/3950 - -548/79. Calculate the common denominator of c and (-472)/(-120) - 2/6.
50
Let l(v) be the second derivative of -v**4/4 + 27*v**3/2 + 47*v**2 + 2*v - 43. What is the least common multiple of 37 and l(28)?
370
Suppose 3*n - 17 = 25. Let m = 3560 + -3552. Suppose n + m = j. Calculate the lowest common multiple of j and 4.
44
Let k be -3*2 - 106*(-24)/6. Let y = k - 384. Calculate the smallest common multiple of 136 and y.
136
What is the lowest common multiple of 2 + (-304)/(-4) + -13 and 9?
585
Let x = 679 + 145. Suppose -o = -9*o + x. Suppose -15*a = -913 + o. Calculate the lowest common multiple of 12 and a.
108
Let i = -3/250135 + 16762051/250635270. Find the common denominator of i and 86/2505.
5010
What is the lowest common multiple of 280 and 15659/35 - ((-63)/(-15))/(-7)?
2240
Let i(v) = -5*v - 51. Let s be i(-11). Suppose -s*k + 41 = -39. What is the smallest common multiple of k and 4?
20
Suppose 3*k - 14 = k. What is the smallest common multiple of k and 9/72*0 + -4 + 52?
336
Calculate the common denominator of ((-2)/(-8) - 7/204)/(7220/(-19494)) and 39/170.
170
Let x(q) be the third derivative of q**5/60 - 7*q**4/24 - 32*q**3/3 - 120*q**2. Let z = 18 - 12. Calculate the lowest common multiple of x(14) and z.
102
Let k be (115/1)/1*-1. Let u = 116 + k. Suppose 27 = 4*p - 3*x, 4*x - 1 - u = -p. Calculate the smallest common multiple of 9 and p.
18
Suppose 198 = -7*h + 597. Suppose 0 = -i - 4*o - 2, 4*i + 3*o + 0*o - h = 0. Calculate the smallest common multiple of (2 - 5)*(-2 - -1) and i.
18
Let f = -25 + 49. Suppose 2994 - 2574 = 7*j. Calculate the smallest common multiple of j and f.
120
Suppose 4819 - 1271 + 15856 = 28*d. Calculate the smallest common multiple of d and 35.
3465
Suppose 493*k + 60 = 497*k. What is the least common multiple of k and 3110?
9330
Let j = -14/11119 + 1078257/17434592. Find the common denominator of -67/112 and j.
1568
Let b = -122125/718677 + 116/1699. Calculate the common denominator of b and -62/33.
4653
Let t(z) = z**2 + 6*z - 2. Let f be t(-5). Find the common denominator of -1*((-2)/(-7) - 50/f) and 19/7.
7
Let j = 8878 + -266263/30. Find the common denominator of j and 43/4971.
49710
Suppose 3183*w - 3223*w = -840. Calculate the lowest common multiple of 357 and w.
357
Let j(s) be the second derivative of s**5/20 + 3*s**4/4 - 13*s**3/6 - 3*s**2 - s - 4. Calculate the lowest common multiple of 18 and j(-10).
72
Suppose n = -4*r, -7*n + 2*n + 120 = -4*r. Suppose -355*h + n = -354*h. Calculate the smallest common multiple of h and 12.
60
Find the common denominator of (34/(-48))/((-177)/(-20)) and 83/6.
1062
Find the common denominator of (-95)/30*(-135)/450 and -57/1100.
1100
Suppose 6*a - 10*a = 5*a. Find the common denominator of (-20 - 0)*((-1)/34 + a) and (-106)/(-22) - (2 + -2).
187
Suppose 16 = 4*x + 5*d - 12, 3*x = -4*d + 20. What is the smallest common multiple of 16 and ((-2)/x*8)/((-6)/45)?
80
Let s = 3977941187/1860 + -2138678. What is the common denominator of s and 11/18?
5580
Suppose -219 = 921*c - 942*c + 348. Suppose 4*z = -0*n - 5*n + 225, -n = z - 57. Suppose 0*r = -4*r + z. Calculate the lowest common multiple of c and r.
135
Let q = -675 + 687. Suppose 0 = 4*x + 11 + 13. Calculate the least common multiple of (-98)/(-5) + x/(-15) and q.
60
Let t be 4/(-12)*(-2 - 1) + 2. Suppose t*r - r + r = 0. Suppose r = 10*z - 59 - 51. What is the lowest common multiple of 4 and z?
44
Suppose -1314 = 7*l - 474. What is the least common multiple of 10 and (160/l)/(2/(-168))?
560
Let u = -2103 - -2109. Let n = 262 + -146. What is the lowest common multiple of u and n?
348
Let y be -8*(-4)/10 + (-3)/15. Suppose 0 = 2*r - 2*l + y*l - 66, -2*r + 78 = -2*l. Calculate the lowest common multiple of 65 and r.
455
Let z = -5180 + 6296. What is the least common multiple of z and 124?
1116
Let c = 2/23115 - -993893/600990. Find the common denominator of c and 11/8.
104
Find the common denominator of -133/1020 and 1/(-4)*852/34*62/744.
2040
Let o(r) = -r**2 + 2*r - 447. Let a be o(0). Let h = 9793/22 + a. Let d = 153/86 + -5541/2752. Find the common denominator of h and d.
704
Let w be (-19592)/(-8) + 2 + -4. Let v = -44035/18 + w. What is the common denominator of -53/92 and v?
828
Let n = -1/15 + 227/4800. What is the common denominator of 41/16 and n?
1600
Find the common denominator of 2/15 and (-8)/160164*-2355 - 3/27.
22245
Let p = 180 - 168. Suppose -2*q + h = -h - 6, 5*q = -h + 15. Calculate the least common multiple of p and q/6*(23 + -2)*2.
84
Let n(u) = -u**3 - 51*u**2 - 17*u - 791. Suppose 4*l - 18 - 6 = 0. What is the least common multiple of l and n(-51)?
228
What is the smallest common multiple of 1932 and -3 - (54 + -27)*215/(-3)?
1932
Let c = 308473/13536 - 1083/47. Find the common denominator of -47/576 and c.
576
Let f = 3370 + -2360. What is the lowest common multiple of f and 606?
3030
What is the common denominator of -7/24 and ((-21)/6804)/((-7)/161)?
648
Calculate the common denominator of 46/765 and ((-1)/170)/(903/(-7482)).
5355
Calculate the common denominator of 1/30 and 4/18 - 85075/540585.
8790
Suppose -7*n + 9*n = 162. Let y = 102 - n. Let h = 30 - y. Calculate the least common multiple of h and 6.
18
Let o be (-2)/440*-11*15963. Let p = o - 798. Find the common denominator of p and 3/9 - 110/96.
80
Suppose 100 + 20 = 15*q. Suppose -21 = i - q*i. What is the lowest common multiple of 7 and i?
21
What is the common denominator of 29/