 181*f - 81. Calculate the least common multiple of f and 37.
333
Suppose b - 4*k - 98 = -27, -4*b + 250 = k. Let q = b - 36. Suppose -2*v = v - q. What is the smallest common multiple of 7 and v?
63
Suppose 3*s - 260 = -s - 3*v, -5*v = 2*s - 130. Calculate the common denominator of 69/22 and (8052/352)/(-1 + s/(-4)).
506
Suppose -5*j - 6 = -c - 3, 0 = -c - 4*j - 24. What is the common denominator of -23/24 and (-53)/c + 8/(-32)?
24
Let c = 30 - 26. Calculate the common denominator of -1 + 6/c - (-1243)/(-66) and (-2)/(-5) - (2388/220 - 7).
33
What is the smallest common multiple of (-1 - -191) + (-24)/6 + -4 and 104?
728
Suppose 0 = -175*k + 182*k + 987. Let l = 169 + k. What is the least common multiple of 10 and l?
140
Suppose -5*k = -3*a - 41, -5*k = 5*a - 85 + 20. What is the common denominator of k/(-65) - (-1490)/(-624) and ((-9)/(-120))/(6/45*2)?
96
Let c = 20872879836/5825 + -3583327. Calculate the common denominator of c and -71/10.
11650
What is the least common multiple of ((-25)/20)/((-4)/8800) and 18?
24750
Suppose -10*n + 17*n = 959. Let q = n + -119. Let t = q - 13. Calculate the least common multiple of 18 and t.
90
Let c(r) be the second derivative of 37*r**3/6 - 34*r**2 + 39*r - 3. What is the smallest common multiple of c(4) and 44?
880
Let k be (-9635)/(-20) - (3/(-4))/3. Let h = 274777/231 - 8313/7. Find the common denominator of h and (-184)/56 - -3 - k/126.
99
Let l(b) be the third derivative of b**4/4 - 17*b**3/6 - 4*b**2 + b. What is the least common multiple of 9 and l(8)?
279
Let o(i) = 8*i**2 - 23*i + 9. Let u be o(7). Let a = -2793/4 + 11255/16. Find the common denominator of a and 668/9*18/u - 4.
240
Let m = 12 - 8. Suppose -43 = -o + m*v - 0*v, 0 = 4*o + 5*v - 151. Let f = 48 - o. Calculate the least common multiple of 11 and f.
99
Let l = -80 - -104. Suppose 20*b = l*b + 36. Find the common denominator of -81/32 and (-6)/b - 27/24*-6.
96
Let i(t) = t**2 + 4*t + 2. Suppose -128 = 16*b + 176. What is the least common multiple of i(-5) and 48/(-36) - (0 - b/(-3))?
35
Let o = -14 + 18. Let k be 29/(2 + 0 - 1). Suppose -o*t + 117 = k. What is the lowest common multiple of t and 18?
198
Let s be -4*6/(-40) - (-4)/10. What is the smallest common multiple of 12/(95/85 - s) and 1?
102
Suppose 75*z - 73*z - 2310 = -2*h, -h + 4620 = 4*z. What is the least common multiple of z and 1050?
11550
Find the common denominator of 13/176 and (-5745)/638 - (-1125)/125.
5104
Let j(m) = 1529*m + 117. What is the lowest common multiple of 1440 and j(0)?
18720
What is the common denominator of 145/6 and (-98745)/(-16414) + 0 + 3 + -9?
1698
Let b(p) = -3*p**3 - 11*p**2 - 8*p - 40. Let j be b(8). Let w = 46777/20 + j. Find the common denominator of w and -9*(0 + (-14)/24).
20
Let m = 31059877283441/16365078 + -286587600/151. Let r = -21405499/22867758 - -395/422. Let w = m - r. What is the common denominator of w and 58/7?
126
Let s(v) = 344*v**2 + 3*v - 5. Let b be s(1). Suppose 2*h - 492 = -b. What is the least common multiple of 45 and h?
225
Let i be 1289542/(-144840) - 231/(-770). Let g = 24/1207 + i. Calculate the common denominator of -89/24 and g.
24
Suppose -51*v = -43*v. Suppose v = 23*g - g - 748. Calculate the smallest common multiple of g and 14.
238
Let t(d) = d**3 - 5*d**2 - 5*d - 6. Let s be t(6). Suppose s*l - 912 = -8*l. Calculate the smallest common multiple of l and 20.
1140
Suppose -19*g - 20 = 18. Let m(i) = i**3 + 5*i**2 + 7*i + 4. What is the smallest common multiple of m(g) and 584?
584
Let x = 16128 - 15868. Calculate the least common multiple of x and 3.
780
Let o = 36 + -33. Find the common denominator of ((-9*1)/o)/(16/(-22)) and 3/50.
200
Suppose -262 = -5*u - 177. Suppose -15*c + u*c - 12 = 0. Suppose 3*v = -5*b + 48, v + v = -4*b + 38. What is the smallest common multiple of c and b?
18
Let u = -229 - -184. What is the least common multiple of (27/u + 1)*165 and 48?
528
Let m = 2749/4801849 + 29/3523. Let z = -102321/10904 + m. Let h = -2723 - -27279/10. Find the common denominator of h and z.
40
Let t = 19 + -15. Suppose 70 + 674 = t*m. What is the common denominator of 89/16 and 2 + m/4 - -2?
16
Let y = 1121/2 - 513. Suppose 0 = z + 108 - 107. Calculate the common denominator of z/3*990/(-70) and y.
14
Suppose 0 = -25*m + 4034 + 212 + 2654. Calculate the least common multiple of m and 12.
276
Let p = 2169 + -16714315/7706. Let i = 2103146720992/92105591259 + -4940/7968301. Let j = i + p. Find the common denominator of j and 85/12.
12
Suppose 3*w - 1218 = -2*h + 7*h, -1250 = 5*h + 5*w. What is the lowest common multiple of 16 and (-10)/12 + (-119269)/h?
1936
Let f = -174883/150 - -1166. What is the common denominator of 7/5 and f?
150
Suppose 8*w - 3*w = -4*h + 71, w + 67 = 5*h. Suppose -h + 17 = v. Suppose 4*m = 3*d + 35, -2*m = -m + 4*d - 23. Calculate the lowest common multiple of m and v.
33
Let b(v) = v**3 + 15*v**2 - 17*v - 16. Let g be b(-16). Suppose -5*o + g = -4*a + 1, 29 = 5*a + 3*o. Calculate the least common multiple of a and 18.
36
Let p = -79/243259 - 259228318/1013173735. Let m = p - -74/255. Let z = m - -3635/1176. Find the common denominator of -67/4 and z.
8
Suppose 3*j + 209 = t, 3*t - 479 - 200 = -4*j. What is the smallest common multiple of t and 130?
2210
Let a(d) = d**3 + 9*d**2 - 10*d - 3. Let i be a(-10). Calculate the common denominator of (-12)/i - ((-92)/(-20) - -2) and -26/165.
165
Let j(w) = -38*w**3 + 35*w**2 + 109*w + 10. What is the least common multiple of j(-3) and 1408?
11264
Let w be (6 - -50)*(-2 + 26/4). Suppose 7*b = -5*b + w. Calculate the least common multiple of 87 and b.
609
Suppose 19*t - 15*t - 4700 = 0. Let o = t + -146. Calculate the common denominator of (5/(-3) - -2) + o/504 and 51/16.
16
Let s be (-2)/3 - 1839/(-9)*-1. Let c = -202 - s. What is the lowest common multiple of 33 and c?
33
Let w(f) = f**2 + 119*f + 95. What is the smallest common multiple of w(0) and 850?
16150
Let b = 693250/21 - 33014. Calculate the common denominator of b and -55/219.
1533
Let r = 1364 + -54537/40. Let k = -2/131 - 184285/2096. Let n = k + 88. What is the common denominator of n and r?
80
Let v = -22120372/15 - -1474697. Let r = -301618196609/12320295 - -6/315905. Let u = 24483 + r. Calculate the common denominator of v and u.
195
Let g(q) be the second derivative of q**5/20 + 19*q**4/12 - 15*q**3/2 + 57*q**2 - 30*q. What is the smallest common multiple of 33 and g(-21)?
1947
Suppose -25*b + 835 - 162 = 73. What is the smallest common multiple of b and 339?
2712
Let a be (1261/(-14))/(4/(-6)). Let r = -415052/7 + 59444. Let t = r - a. Calculate the common denominator of t and -32/11.
44
Let w = 22763 + -21371. Calculate the least common multiple of 144 and w.
4176
Let g(c) = -5*c - 39. Suppose 0 = 55*o - 50*o + 40. Let p be o + 2 + (-2 - 1). Calculate the lowest common multiple of 9 and g(p).
18
Suppose 197*c - 202*c = -4*r + 586, 8 = -4*c. What is the lowest common multiple of 1032 and r?
6192
Calculate the common denominator of 115/624 and (-1)/(-3) + -3 + (-7110)/(-2860).
6864
Let h = 4191 - 41979/10. What is the common denominator of (-1 - 643/(-455)) + 303/(-707) and h?
130
Suppose 2*g - 64 = -42. Suppose 0 = n + g*n - 180. Calculate the least common multiple of n and 45.
45
Let p = -1192761 + 2440389095/2046. Calculate the common denominator of p and 9/124.
4092
What is the common denominator of -55/16 and (10/95 - 194/38) + 95056/18944?
1184
Let f = 2/16799 - -990859/2368659. Find the common denominator of 51/47 and f.
141
Let a = -1/76 + -489/380. Let n be (-95)/(-40)*141 - (-6)/4. Let i = n - 335. Find the common denominator of i and a.
40
Let o(s) = s**3 + 5*s**2 - s - 4. Let r be (5/(-2))/(2/((-300)/3)). Let k = r + -116. What is the smallest common multiple of o(-5) and k?
9
Let t be (-7)/(7/4) - -109. Suppose -3*h - t = 4*h. Calculate the lowest common multiple of 12 and h/6*(-4)/5.
12
What is the smallest common multiple of 600 and -1 - (-12)/(-8) - 1445/(-2)?
3600
Let a(j) be the first derivative of -7*j**2/2 + 3*j + 78. What is the lowest common multiple of 18 and a(-6)?
90
Let n(z) = z**3 - 4*z**2 - 2*z + 15. Let w be n(5). Suppose -81 = -33*l + w*l. What is the lowest common multiple of l and 15?
135
Suppose -2*y + 5*v + 19 = 0, 29*y + 23 = 28*y - 