4*k = 6, -3*k = 3*a - 15. Let f be g(a). What is the smallest common multiple of 12 and (f - 1)*45/10?
36
Let o(b) = -32 - 17*b + 1 - 11. Calculate the least common multiple of 6 and o(-3).
18
Let a = -94 - -64. Calculate the common denominator of 1785/(-14)*3/(-18) and a/35*(2835/(-24))/(-5).
4
Suppose 32*y = 33*y - 210. Let g be (-2372)/y + (-2)/15. Let l = g + -267/14. Calculate the common denominator of 83/10 and l.
10
Let g = -660869 - -730921003/1106. Calculate the common denominator of -99/3160 and g.
22120
Suppose 0 = -15*w - 3229 + 3994. What is the lowest common multiple of 282 and w?
4794
Suppose -28 = 4*m, 31*x - 3*m + 3 = 35*x. Calculate the lowest common multiple of 424 and x.
1272
Let t = 20183228819505/10088 + -2000716580. Let f = -33/776 + t. Calculate the common denominator of f and 107/20.
260
Suppose 36*t - 41*t + 370 = 5*a, 278 = 4*a + t. Calculate the smallest common multiple of a and 18.
612
Suppose -2*h = 5*t - 35 - 63, 62 = 3*t - 2*h. Calculate the lowest common multiple of t and 160.
160
Let u = -14183 - -14195. Calculate the lowest common multiple of 86 and u.
516
Let y be 71/(-12)*25209*6/72. Let d = -12425 - y. Calculate the common denominator of d and -77/230.
1840
Suppose -1923*h + 589348 = -583682. Suppose 3*r = 5*r - 12. What is the least common multiple of r and h?
1830
Let p = -36395/12 + 3027. Let m = -117 - -44. What is the common denominator of m/3*4/(-20) and p?
60
What is the common denominator of ((-4)/(-14))/((-144)/580) and (123/4 + -2)*132/770?
126
Let w = 11 + -19. Let y(i) = -11*i + i**2 - i**2 + i**3 + 59 + 5*i**2 - 73 + 3*i**2. What is the smallest common multiple of 18 and y(w)?
666
Suppose -20*t + 498 - 178 = 0. Suppose 0 = -7*s + 11*s - 104. Calculate the least common multiple of t and s.
208
Let v = 13109/780 + -11/195. Let m = 6061056754453293033/508112 + -11928584159499. Let a = m - -2/31757. Find the common denominator of a and v.
16
Suppose -23*t + 3045 + 1003 = 0. What is the common denominator of (6/(-28))/((-158)/t - -1) and (-116)/(-56)*4/6?
21
Calculate the lowest common multiple of 1309 and (16/52)/(80/1560) - 71*-15.
11781
Let u = -7107/29 + 293871/203. Let a = 66707/56 - u. What is the common denominator of 19/52 and a?
104
Suppose -497043 = -272*j - 177*j. Calculate the lowest common multiple of j and 99.
12177
Let v be 6/8*-1 - 59696/(-80448). Let c = 116801/12570 - v. What is the common denominator of -57/55 and c?
110
Let m = -1105 + 1133. Suppose 118 = 3*g - g. What is the common denominator of (-2)/(m/g) + (-10)/(-40) and -34/7?
28
Let k be 8*8/288 + (-1244)/9. Let u = 78 + k. Calculate the common denominator of -89/98 and (-1 - (-123)/u) + 1.
980
Let p = -322/41 - -3201/820. Find the common denominator of p and -23/170.
340
Let z = -12282774 - -245567279/20. Let w = z + 4409. Find the common denominator of w and 3/25.
100
Suppose 0 = 4*d + 3*r - r + 2, -4*r = d + 18. Suppose 3*p + 18 = y + 2*p, -d*p = 0. Find the common denominator of -51/14 and 3 - (1 + 103/y).
126
Let j(q) be the first derivative of -q**2 - 10. Let w = -35 + 29. What is the least common multiple of 18 and j(w)?
36
Let t(a) = 15*a**2 + 77*a + 442. Calculate the smallest common multiple of t(-5) and 2.
432
Let a(c) = c**3 - 20*c**2 - 3*c + 67. Let s be a(20). Suppose 0 = s*h - 13*h + 6. Let p = 12 - 4. What is the smallest common multiple of h and p?
8
Let v(b) = 0*b - 503 + 6*b + 451. What is the least common multiple of v(9) and 3*1/(2/8)?
12
Let v = 13341 + -4899. Let g = -396756/47 + v. Let l = g + 258/799. What is the common denominator of -79/10 and l?
170
Let q(m) = -4*m**3 - 3*m**2 + 3*m + 8. Let f be q(-3). Suppose -6*n - 4*n = -f. Calculate the lowest common multiple of n and 160.
160
Let p = -53621/2212 - 5/553. Let u be (2577/760)/3*(15 + -21). Let t = 119/38 + u. Calculate the common denominator of p and t.
20
Suppose 15 = 3*b, 0*b - 545 = t + 5*b. Let s = t + 590. Calculate the least common multiple of s and 52.
260
What is the common denominator of 95/176 and 6 - (-2058)/(-864)*4?
1584
Let w = -145 + 188. Find the common denominator of -15/11 and (w/(-4300))/((-6)/(-712)).
825
Let c = 1532 + -932. Calculate the least common multiple of c and 225.
1800
Let j = 11010 - 11004. Calculate the lowest common multiple of j and 24.
24
Let k = 903139635/22 + -41044804. Let g = -7002 + k. Calculate the common denominator of (-6*(-2)/(-16))/(45/(-790)) and g.
66
Suppose -9108 = 36*b + 6*b - 64*b. What is the lowest common multiple of 81 and b?
3726
Suppose 5*z - 296*q + 297*q - 11 = 0, 4 = 4*q. Calculate the smallest common multiple of z and 60.
60
Suppose 6*d - 5527 = -d + 1865. What is the lowest common multiple of 432 and d?
9504
What is the least common multiple of 14 and -5 - ((-3 - 2)/(-21 + 20) + -57946)?
405552
Let k(p) = p**2 - 109*p - 801. Suppose 16 = 4*x - 4. What is the lowest common multiple of k(-7) and ((-6)/x)/((-2)/5)?
33
Let j be (8 + -9)*(-2)/((-4)/(-6)). Calculate the common denominator of (-133)/18 + -7*(-30)/42 and (-1788)/40 + j/15.
18
Let k(m) = 12*m + 37. Let q(b) = -6*b - 19. Let u(o) = -3*k(o) - 5*q(o). What is the lowest common multiple of 112 and u(-5)?
112
Let z = -1 + 12. Let x(p) = -341*p**3 + 2*p - 2. Let r be x(1). Let c = r + 342. What is the smallest common multiple of c and z?
11
Let h = -3034 - -3400. What is the smallest common multiple of 30 and h?
1830
Let v(d) = 8*d**3 + 2*d**2 - d. Suppose 22*u + 3*a - 7 = 18*u, -4*u = a - 13. Suppose 0 = -u*o + o + 99. Calculate the lowest common multiple of o and v(1).
99
Let j = 57352/14705 - 1/5882. What is the common denominator of j and ((-204)/501)/(3 - 1)?
1670
What is the common denominator of 674/84 - 5 - (16/(-8) - -4) and -52/105?
210
Calculate the smallest common multiple of ((-1)/(-2))/(3/150) and 296/74*(-135)/(-12).
225
Let y be (7 - (-45)/(-3))/(1/(-40)). Calculate the common denominator of -95/14 and (-6 - 0) + 1488/y.
140
Suppose d = r - 6, 5*d - 4*r + 16 = -9. Find the common denominator of d - 495/(-57) - 5 and 42/11.
209
Let b(l) = -l**2 + 83*l - 14. Let x be b(25). Find the common denominator of -10/21 and x/(-432)*3 + 8.
252
Let q(s) = -1013*s - 3292. What is the lowest common multiple of 76 and q(-4)?
760
Let l = -1 + 2/5. Let k = -11/10 + l. Calculate the common denominator of 51/50 and k.
50
What is the least common multiple of ((-2790)/8)/(110/(-176)) and 66?
6138
Let p = 276/13 + -13203/598. Let c = p - 866/23. What is the common denominator of c and -15/4?
4
Suppose 8*k - 390 = 2*k. Suppose 60*w = k*w - 40. Suppose -2*l = -44 - 28. Calculate the smallest common multiple of l and w.
72
Suppose 490 = -2*o - 2*n, -o + n - 247 = -0*n. Let q = 60853/22 - 2768. Calculate the common denominator of q and (o/18)/(8/6).
44
What is the least common multiple of 107 and 40 + 65/(13 - 18)?
2889
Let i = 46769/40460 + -12/2023. Find the common denominator of (-2)/(-24)*(-7 - -2) and i.
60
Suppose -100 = 2*j + 2*j. Let c be 18/21*2170/80. Let f = c + j. What is the common denominator of f and -69/2?
4
Let k = 9/188 + 12569/564. Let w(d) = -3*d**2 - 17*d - 52. What is the common denominator of k and w(-5)?
3
Let k(g) = 2*g**2 - 4*g + 4. Let q be k(2). Suppose q*i = -16, 3*t = -0*t + 3*i + 6. What is the smallest common multiple of 6 and 10 + -15 + (-76)/t?
66
What is the common denominator of -89/8 and (184/64)/(-23)*(-2)/(-898)?
3592
Let r = 16111/2 + -8260. Let g = -2959/14 - r. Calculate the common denominator of (-190)/15*(-9)/48 and g.
56
Let c(s) = s**3 + 16*s**2 + 53*s - 5. Let g be c(-11). Let x(j) = j**3 - 19*j**2 + 37*j - 29. What is the lowest common multiple of 20 and x(g)?
220
Suppose b = -14*b - 480. Find the common denominator of 208/90 - (-1)/(-5) and (-854)/(-60)*(b/56)/4.
90
Suppose -2*h + 30 = 3*h. Let m = -19483/14832 - -1/927. Calculate the common denominator of m and (-2583)/(-216) + 4/h.
16
Let c(z) = -10*z**2 + 568*z + 154. Calculate the smallest common multiple of 1390 and c(57).
5560
Let m(s) = 22*s - 167. Let l be m(7). Calculate the least common multiple of 10/(-130) - 235/l and 27.
54
Find the common denominator of (-12948)/(-585) + -22 - (-538)/(-3330) and -151/444.
6660
Let m = 867 + -829. Suppose h + 1776 = m*h. Calculate the smallest common multiple of 22 and h.
528
Let s(j) = -