1080. Let m(n) = -12*n + 437. Calculate the smallest common multiple of 19 and m(k).
95
Suppose -5152 = 37*z - 41*z. Let j be 3 - (-7)/(z/(-1521228)). Let k = j + 8264. What is the common denominator of -1/22 and k?
506
Suppose -5*f + 3*r + 211 = 0, 0 = 12*f - 15*f - 5*r + 147. Let z(y) = -y**3 + 44*y**2 + y - 36. What is the smallest common multiple of 494 and z(f)?
1976
Let b(l) = 7 + 23*l**2 - 53*l - 5 - 19*l**2. What is the least common multiple of b(14) and 44?
44
Suppose -n = 8*n - 36. Let l = 4 - n. Suppose l = -3*q + 3*f + f + 16, -2*q = -f - 19. What is the least common multiple of q and 18?
36
Calculate the lowest common multiple of 26 and 6/21*(80 - 73).
26
Calculate the smallest common multiple of (-21)/(-9) - (-52374)/18 and 416.
2912
Let x = -35612280057581/6173141610 + 544/32490219. Let k = x - -28848/5. Find the common denominator of -73/93 and k.
3534
Let r be (-52)/(-780) + 1103424/(-110). Let v = r - -10030. Calculate the common denominator of ((-21)/24)/((-6)/44) and v.
132
Let f = 479/58 - 38783/4524. Find the common denominator of f and 29/24.
312
Let s = -40773 + 68335549/1676. Calculate the common denominator of 67/4 and s.
1676
Let y = -58 - -34. Let g = 6897 - 124231/18. What is the common denominator of 4/6*(-166)/y and g?
18
Suppose 0 = -b + 2*j + 68, -450*j = -452*j - 8. Suppose -65 + 255 = -5*h. Let r = h + b. What is the lowest common multiple of 5 and r?
110
Calculate the least common multiple of 1*426 + 4050/(-225) and 176.
8976
Let z be 13 + -18 - 661027/(-40). Let s = -16522 + z. Find the common denominator of s and -89/12.
120
Let l = -681602118 + 3987372380597/5850. Let g = l + -5/234. Find the common denominator of g and -29/5.
25
Let k = 30 + -22. Suppose -5*w = -k*w + 36729. Let x = -147041/12 + w. Calculate the common denominator of -89/16 and x.
48
Let i be (-1801)/176 + -1 + 0. Let m = -26046 - -416541/16. Let r = i - m. Find the common denominator of r and 33/8.
88
Let s be 36/(-12) - (1 + -74). Suppose s = 7*w - 70. Let j = 338 + -174. Calculate the least common multiple of j and w.
820
Suppose -417 + 249 = -7*u. Suppose 2*d - 4*i - 22 = -i, d = 2*i + 10. Let l = u - d. Calculate the least common multiple of 8 and l.
40
Let l be 2/4*(54644361/405)/(-19). Let s = l + 21305/6. Calculate the common denominator of s and -103/30.
270
Let r(b) = b + 25. Let i = 5 + -10. Let v(j) = j**3 + 13*j**2 + 11*j - 4. What is the least common multiple of r(i) and v(-12)?
40
Let v(a) be the second derivative of a**4/4 - 4*a**3/3 + 49*a**2/2 + 36*a - 1. What is the lowest common multiple of 3 and v(10)?
807
Let s = -4534 - -4810. Calculate the smallest common multiple of s and 690.
1380
Let w(p) = p**3 + p**2 - 2*p - 1. Let v = 50 - 50. Suppose t + 0*t - 5 = v. Calculate the lowest common multiple of w(-1) and t.
5
Let h = -1029028/15 - -68600. Suppose -g - 11 = 23. What is the common denominator of h and (g/(-4))/((-90)/8)?
45
Let b be (-40)/(-9) + 332/(-747). Find the common denominator of 1320/8352 + (-1)/b and -68/21.
609
Suppose -2*v - 3*a + 11 = -4, 0 = v + 3*a - 12. Find the common denominator of (-196)/42 - v/(-2) and -19*(-11)/(-10) + 10.
30
Let m = 2/5346689 + -828740323/9431559396. What is the common denominator of 101/16 and m?
7056
Let c = -139 - -144. Suppose -5*x + 11 = -r, -8 = -5*x + c*r - 7*r. Calculate the least common multiple of 1*9 + (4 - 3) and x.
10
What is the common denominator of -37/1298 and 2012/31152*-6 + 3/33?
1298
Let q = 7465/7 + -1066. Let a be ((-4)/(-12))/((-4)/(-2064)). Find the common denominator of q and 1 - ((-428)/a + 4).
301
Let c = -24310279892/75 + 324131524. Let s = -16627/3 - c. Calculate the common denominator of 80/33 and s.
825
Suppose -45*u + 869 = 7*u + 27*u. Calculate the lowest common multiple of u and 1885.
20735
Let p = 9 + 5. Let r(q) = q**3 + 18*q**2 + 60*q + 15. What is the lowest common multiple of p and r(-7)?
938
Let z(o) = -o**2 - 14*o - 17. Let r be z(-13). What is the lowest common multiple of 44 and r + (5 - 5) + (1 - -7)?
44
Let w(i) = 6*i. Let n be w(2). Suppose -14*k + 39 = 3*j - 13*k, 4*k - 142 = -11*j. What is the lowest common multiple of j and n - 1/((-1)/(-2))?
70
Let k(p) = -2*p**3 + 2*p + 9. Let w be k(0). What is the common denominator of -5 - (-43)/w - (-27)/(-15) and -37/99?
495
Suppose 0 = -4*a + 29 + 15. Suppose -a*p + 3 = -8*p. Calculate the least common multiple of p and 22.
22
Let q = -140 - -35. What is the lowest common multiple of -7 + 4 + -2 - q and 85?
1700
Suppose 67*w = 53*w + 4162690. Let i = w + -137963503/464. What is the common denominator of i and 3/20?
2320
Let c = -90 - -114. Suppose -15 = 3*j + c. Find the common denominator of j and -1 + 9*(-1)/11.
11
Find the common denominator of 172/30*22/1012 and -43/18.
2070
Suppose -4*s = -3*b + 22, -s - 32 = -5*b + s. Let f(u) = -262*u + 4743. What is the smallest common multiple of b and f(18)?
54
Let a(r) = -r**3 + 2*r**2 - 2*r - 227. Let q be a(0). Let y = 233 + q. Calculate the smallest common multiple of y and 16.
48
Let s = 981 + -1701. Let m = 1491/2 + s. Find the common denominator of 67/4 and m.
4
Let a = -3 + -3. Calculate the common denominator of 4/a*148/56 and 2672/1512 - (-4)/(-14).
189
Let j be (-12)/20 + (-1071)/15 + 0. Let i = 68 + j. What is the common denominator of 2 - (6 + -5)/(22/i) and 16/3?
33
Let d(p) be the first derivative of -p**4/4 - 13*p**3/3 - 11*p**2/2 + 33*p + 80. Calculate the lowest common multiple of d(-13) and 80.
880
Let z = 33202 + -32347. Calculate the lowest common multiple of 11 and z.
9405
Suppose 5*j - 32 = -w, -2*j - 2*w + 18 = w. Suppose 29 = -j*q + 65. Suppose 0 = -0*g + 5*g - 150. What is the smallest common multiple of g and q?
30
Let u = -1017/17 - -266335/4454. Let s = -13033/3006 - 46/167. Find the common denominator of u and s.
2358
Let m = 1/141224 - 4803227/227511864. What is the common denominator of m and 71/12?
6444
Let s = -1210831/5254920 - 2/14597. Find the common denominator of 103/165 and s.
3960
Suppose 3*y - x - 59 = 0, -2*x = 5*y - 59 - 54. Let r be (((-223076)/y)/4)/(2/6). Let p = r - -350567/44. Calculate the common denominator of p and 43/22.
44
Let q(s) = 395*s - 9115. What is the least common multiple of 1965 and q(38)?
5895
Let s = 454/5 + -17089/180. Find the common denominator of 28/140 - (-38)/(-240) and s.
72
Let s(b) = -20*b + 9. Let w be s(8). Let k = w + 108. What is the common denominator of (-130)/(-30) + (-22327)/1992 and k?
8
Let m(u) = -3*u - 13. Let r = 6 - 0. Suppose 0 = n - 3*x - r, n + 3 - 1 = x. Calculate the least common multiple of m(n) and 5.
5
What is the smallest common multiple of 6 + (-33)/(-2) + 13/(-26) and 3758?
41338
Suppose -4*j = 2*c - 12 - 4, 4*j = 2*c - 48. Suppose -5*i = a - c, -a + 2*i + 2 = -0*a. Calculate the smallest common multiple of a and 25.
150
Let y = 3288 + -3249. Calculate the lowest common multiple of 897 and y.
897
Let o be (-718)/(-8) - (-2)/8. Calculate the common denominator of (-3)/(-6) - 17/o and 273/18 - (304/(-24) - -13)/1.
90
Let s(n) = 43*n - 1. Suppose 31*x + 2858 = 5028. Calculate the least common multiple of s(1) and x.
210
Suppose 202 = 3*g - 152. Let v = -701/15 - -43. Find the common denominator of v and g/24*28/42.
90
Let p(t) = 14*t - 2. Let f(d) = d**3 + 41*d**2 - 840*d + 6. Calculate the smallest common multiple of f(-56) and p(3).
120
Let i = -266827901/31 - -8606327. Let g = i - 94636/155. Let z = g + 1629. Find the common denominator of -22/21 and z.
105
What is the common denominator of (96/(-5104))/((-380)/893) and 97/1914?
9570
Calculate the lowest common multiple of 3 and (-6 + -3)/((-6)/(-8)*6/(-243)).
486
Let k(j) = -23*j**2 - 138*j + 1. Calculate the least common multiple of k(-6) and (1/(-2))/(3/(-36)).
6
Let b = 5/4308 + 29873/11847. Calculate the common denominator of 1286/(-288) - 16/72 and b.
176
Let v = -52765/8 + 6586. Let z = -336/19 - -4543/114. Calculate the common denominator of z and v.
24
What is the common denominator of 115/1974 and ((-4)/((-360)/(-81))*33)/(280 + 2)?
19740
Let u = -6643442317/78 - -85174993. Let b = u + -2657. Calculate the common denominator of b and (-46 - -48)*19/(-14).
546
Let t = 36/67 - 1099/3417. Find the common denominator of t and -17/15.
255
Let b = 2269303/123 + -18450. Calculate the com