 38*v**2 + 147*v - 284. What is the least common multiple of l(2) and 2214?
6642
Suppose 14*i + 14 = 15*i + r, 2*i - r = 28. Suppose 0*z = 10*z - 2300. What is the least common multiple of i and z?
1610
Suppose -5*b = -4*d + 192, -4*d + 0*d - 168 = 5*b. Find the common denominator of (-3)/678*-381 + 54/b and 35/11.
1243
Suppose a = -q + 7, 5*q = a - 2*a + 15. Suppose a*z - 36 = 24. Suppose 0 = -5*i + s + 60, 4*i - z = 3*i - 3*s. What is the least common multiple of 40 and i?
120
Let l = 6477617/317 - 20434. Calculate the common denominator of l and 31/12.
3804
Suppose 4*q + l + 3 = 0, 2*q + 10 - 4 = 4*l. Suppose -589 = -87*b - 415. Calculate the least common multiple of b and (2*(q + 4))/2.
6
Let y be -5 + 8 - 117*33. Let b = 793471/48 + -6690949/528. Let g = b + y. Find the common denominator of 49/18 and g.
198
Suppose -3*h + 325 = 4*w, 2*w + 28*h - 190 = 32*h. Calculate the lowest common multiple of w and 51.
255
Let q(s) = -s**2 - 168*s + 2284. Calculate the least common multiple of q(-157) and 21.
4011
Suppose 8*x - 231 = 3929. What is the smallest common multiple of x and 390?
1560
What is the smallest common multiple of (-100)/24*(-891)/(-270)*(-159 + -1) and 88?
2200
Calculate the common denominator of 43/7244 and (-446 - -474)*((-4)/(-42) - 0).
21732
Let w(y) = 11*y + 65. Let z be w(-6). Find the common denominator of 99/40 and (4 + (-645)/125)/z.
200
Suppose -3*x = -3*r + 96, 3*x + 1 = 13. Suppose -2*w - 50 = -4*c, 434*c + 3*w = 439*c - 61. What is the smallest common multiple of r and c?
252
Let o = 3/22342 - -446777/469182. Find the common denominator of -8/81 and o.
567
Let b = -2/2001 + -97975/74037. Let j = 3546 - 343966/97. Let y = j + -3844/873. Calculate the common denominator of b and y.
333
Let d(v) = -19*v - 885. What is the least common multiple of 20 and d(-65)?
700
What is the least common multiple of 11 and 21 + ((-156)/(-6))/2*4/26?
253
Let m(t) = -2*t + 140. What is the lowest common multiple of 20 and m(45)?
100
Find the common denominator of (6 + 2 - 7) + (-160)/(-21932) - 1 and -38/11.
60313
Let u be -2 - -3 - (-20)/(3 - 1). Suppose -u*j - 124 = -432. Calculate the lowest common multiple of 21 and j.
84
Suppose d - 2 - 1 = 0. Let f be 4/(-4 + 12)*(-200)/(-4). Suppose 11*s = f*s - 126. Calculate the least common multiple of s and d.
9
Calculate the common denominator of -113/18 and ((-18)/108)/(1122/9).
6732
Let s = -11049605/483377556 + 2/334749. Calculate the common denominator of -29/3 and s.
4332
Suppose -5*v = -3*v - 22. Suppose -18*f - f - 1368 = 0. Calculate the smallest common multiple of (9/(-6))/(27/f) and v.
44
Let p = 5/11191 - -1488043/805752. Find the common denominator of p and -65/63.
504
Let s(f) = f**2 + 10*f + 24. Suppose -v + 19 = -5*o + 36, v + 5*o - 3 = 0. Calculate the smallest common multiple of s(v) and (-2)/3 - (-518)/21.
24
What is the smallest common multiple of (560/9)/(10/15)*(-504)/(-112) and 294?
2940
Let k(j) = -3*j**3 - 6*j**2 - 13*j - 21. Let g be k(-7). Suppose -4*o + g = f, 9*f - 975 = -5*o + 14*f. What is the least common multiple of o and 8?
200
Let y = -14297 + 14341. What is the lowest common multiple of 55 and y?
220
Find the common denominator of 180225/1253850 - (-2)/(-13) and -28/5.
6430
Let a = -98443 + 40164767/408. Find the common denominator of a and 11/408.
408
Let u = -1006 - -952. What is the lowest common multiple of 42/((u/30)/(-9)) and 84?
420
Let x = -11165/6 - -1845. Let v = -2399 + 2381. Calculate the common denominator of x and v.
6
Calculate the common denominator of 49/2 and (-190)/268*(-164)/656.
536
Let r(t) = -t**2 - 10*t - 15. Let m be r(-8). Suppose 1 - m = 3*w. Suppose -5*k = w, -f + 4*k = -4*f + 36. What is the least common multiple of f and 6?
12
Suppose -4*u + 3*l = 8 + 11, 0 = -5*l + 25. What is the common denominator of (1 - -1) + 22/(-24) and u*8/60 + 16/(-48)?
60
Suppose 0*j + 11 = -5*m + j, -2*j = -3*m - 8. Let t be m/(-2398)*1934334/408. Let l = t - -3/7412. Calculate the common denominator of l and -67/26.
286
Let t = 32621 + -916128165/28084. Let k = t + -624857/337008. Find the common denominator of k and -53/8.
48
Let g be 21/6 + (-1445122)/(-165144). Let w = g - 2/2949. Calculate the common denominator of 15/(-80)*11/(-2) and w.
32
Let q = -335861/1215120 - 14/5063. Find the common denominator of q and -16/9.
720
Let w(u) = 33*u - 882. What is the smallest common multiple of w(30) and 1404?
1404
Let i(z) = 3*z**3 - 3*z**2 + 2*z - 1. Let n be i(2). Suppose 0 = -n*q + 26*q - 1023. What is the least common multiple of 9 and q?
279
Let p = 91/219 + 8761/876. Calculate the common denominator of p and 127/1780.
5340
Let w = 1520 + -22706/15. Calculate the common denominator of w and 11/135.
135
Suppose -1814 - 256 = -115*j. What is the least common multiple of 5066 and j?
45594
Let z = 77/3 - 25. Find the common denominator of (-850)/(-48)*(-3)/15 and z.
24
Let u = 1636139/550404 - 6/15289. What is the common denominator of u and -11/1398?
8388
Suppose 0 = -4*y - 5*l + 14, 3*y - 8 - 18 = 4*l. Calculate the smallest common multiple of 362/y - (-2)/3 and 3.
183
Let v = 299 + -189. Let k = -105 + v. Calculate the lowest common multiple of (-27)/(-6) + (-2)/(-4) and k.
5
Let z be (2 - -1) + 11724/8. Suppose 0 = -4*v + 2*r + 5992, -5*v + 0*r = -3*r - 7491. Let o = v - z. Find the common denominator of -17/2 and o.
2
Let w = 821/63 - 83/9. Let c = 391/372 - -156/31. Calculate the common denominator of w and c.
84
Let y = 41 + -23. Let m(v) = -35*v**2 + 2*v + 34*v**2 - 26 - y*v. What is the least common multiple of 7 and m(-12)?
154
Let u(g) = 16*g**2 - g + 2. Let h be u(1). Suppose 43 = h*t - 212. What is the smallest common multiple of 102 and t?
510
Let m = -3550 - -17801/5. Find the common denominator of m and -121/80.
80
Let l be (30869/(-16))/((-72)/(-96)). Let m = l + 2574. Find the common denominator of 92/45 and m.
180
Let u be (1 - 4) + 4 + -3. Calculate the common denominator of 12 + 6/((-330)/1133) and (-5)/5*u/(-14).
35
Let n be 2*(-6)/16 + (-3)/(-4). Suppose n = -3*r - 103 - 143. Let x = 104 + r. Calculate the least common multiple of x and 82.
902
Let x(j) = 3*j - 102. Let g be x(34). Suppose -4*l - 5*c + 44 = g, -4*c + 28 = 5*l - 36. Calculate the least common multiple of 192 and l.
192
Let n = -272094731/20880 + -414761/1044. Let b = n - -13428. Calculate the common denominator of 23/56 and b.
560
Let y = -1 - -2. Suppose 2*x = 5*f - 5, -5*f = 2*x - 20 - 5. What is the lowest common multiple of y and x + (-6)/((-24)/8)?
7
Let o = 14036 - 42067/3. Calculate the common denominator of 34/1543 and o.
4629
Let g = 533 - 526. Suppose -290 = g*w - 36*w. Calculate the least common multiple of 6 and w.
30
Let t = 114 - 113. Let d = 109/364 - -145/84. What is the common denominator of 104/(-130) - (t - (-269)/(-30)) and d?
78
Let o(c) be the third derivative of 119*c**4/12 - 8*c**3/3 + 34*c**2. Let r be o(2). Find the common denominator of 5/r*-11 - -1 and -127/18.
828
What is the common denominator of (-16)/(-11968)*(-22 + -4) and 101/34?
374
Let m(b) = 4*b**2 + 85*b + 551. Calculate the least common multiple of m(-21) and 35.
3710
Let d(g) = -g**3 - 16*g**2 - 17*g - 16. Let b be (-3 + 5)/(2/(-15)). Let w be d(b). What is the least common multiple of 16 and 417/21 + 2/w?
80
Let y(z) = -z**2 + 29*z - 73. Let u be y(26). Suppose 0 = -5*l + u*q + 95, -5*q - 5 = -4*l + 5*l. Calculate the least common multiple of 4 and l.
60
Let i(s) = -10*s**3 + 3*s**2 - 7*s + 3. Let u be i(4). Let w = u - -1795/3. Calculate the common denominator of w and 81/4.
12
Suppose 0 = -3*v + 5*b + 18, 2*v = 3*b - b + 12. Calculate the smallest common multiple of 6 + (-1)/3*(v + 3) and (-4)/(-14) - 520/(-91).
6
Let q = 89241/20 + -4460. Find the common denominator of -43/986 and q.
9860
Suppose 6*d + 54*d = -16*d + 2128. Calculate the smallest common multiple of 7 and d.
28
What is the smallest common multiple of 1050 and (-35)/(-7) + (12/(-6))/((-6)/195)?
1050
Calculate the lowest common multiple of -99*((-497)/21)/(7/7) and 27.
21087
Suppose -c - 2*c = -24. Suppose 5*b + s - 10 = -4*s, -4 = s. What is the least common multiple of b and c?
24
Calculate the lowest common multiple of 144/14*42/9 and 36 - ((-8432)/(-1426) + 4/46).
240
Suppose 21 - 64 = -h - s, 23 = h