 Let h(v) = -34*v + 20. Let g(m) = 6*b(m) + h(m). Let z = -2 + 26. Calculate the smallest common multiple of g(2) and z.
24
Find the common denominator of (-260)/150 - (7 + (-100)/12) - 0 and -41/5624.
28120
What is the common denominator of 269/(-269) + (-3)/(396/(-125)) + 0 and 85/132?
132
Let k(s) = 2*s**3 - 45*s**2 - 18*s - 45. Calculate the least common multiple of 28 and k(23).
140
Suppose 5*v - 954 = 666. Calculate the common denominator of 2/3*93*6/v and 1484/(-540) + 6/10.
27
Let n = 146141/210 + -4901/7. Let f = -4/15 + n. What is the common denominator of f and -52/81?
162
Let j = 854 - 2615/3. Calculate the common denominator of (20/(-18))/(86/129)*5/50 and j.
6
Find the common denominator of (-96)/288 + (-18)/(-824)*11 and -37/3.
1236
Let l = 8/6339 + -155185/741663. Find the common denominator of l and 17/507.
4563
Suppose -10*r = -5*r + 20. Calculate the lowest common multiple of r/(-2 + 2 + -2) - -12 and 2.
14
Let d = -2 + -608. Let n = d - -611. What is the lowest common multiple of n and (-3 - -2) + (-22)/(-2)?
10
Let i = 80941/6 - 13514. Let n be 0/(-4) - (-4682)/9. Let q = -516 + n. What is the common denominator of i and q?
18
Suppose -24 = 2*y - 2*z - 0*z, -4*z = 2*y. What is the smallest common multiple of 33 and (-138)/y - 54/(-72)?
198
Let y = 91 - 85. What is the least common multiple of y/(-27) - (-1170)/162 and 3?
21
Let p = 57 - -63. What is the common denominator of -95/12 and 82/p - (95/(-20) - -4)?
60
Let s = -10708 + 10730. What is the lowest common multiple of s and 222?
2442
Let s be 5/2*4/10. Let c = -3420899/550494 - 2/39321. Calculate the common denominator of (58/128)/(s/(-6)) and c.
224
Suppose 5*n = 4*b + 6520, -4*n - 14*b = -16*b - 5210. Calculate the smallest common multiple of n and 52.
1300
Let m be 6/1434*1/(-7). Let t = 51883/33460 + m. What is the common denominator of t and -97/28?
140
Let h = 69416/25 + -2775. Let b = -39931/57640 + 21/1048. What is the common denominator of b and h?
275
Let n(t) = -t**2 + 3*t + 9. Let f be n(5). Let s be 5 - 24/(f + 3). Let g(k) = 3*k**2 + 19*k + 13. What is the least common multiple of g(s) and 39?
351
Let u = 37591 - 189971/5. Let h be 0/(-3) + (-16553)/(-40). Let d = h + u. Find the common denominator of d and -42/29.
232
Let y(t) = -t**3 - 32*t**2 + 33*t - 4. Let x be y(-33). Let s = -2020 + 805. Find the common denominator of -37/6 and s/10*x/84.
42
Let a(q) = -2*q**2 - 13*q - 10. Let k be a(-5). Suppose -25 = -4*u - 5. What is the least common multiple of u and 2/k - (-3 + (-15)/25)?
20
Let k be 4/((-16)/(-42))*72/54. Calculate the common denominator of (-6 - -62)/8 - k and 23/9.
9
Let q = 261 + -527/2. Let n = 16/9 + q. Find the common denominator of n and 139/72.
72
Let l = -130 + -816. Let a = -926 - l. What is the smallest common multiple of 8 and a?
40
Let k(z) = 2*z**2 + 5*z - 9. Let q be k(5). Let v = q - 64. Suppose 5*t + 5*i = 25, t = 4*i + 16 - 6. Calculate the lowest common multiple of t and v.
6
Let t(c) = 1. Let d(m) = m + 50. Let o(b) = d(b) + 5*t(b). What is the lowest common multiple of o(-15) and 18?
360
Suppose -14*i + 6620 = 49*i + 950. Calculate the lowest common multiple of 1980 and i.
1980
Suppose 1160*y + 4051 - 1383 - 22388 = 0. Suppose 3*r = -5*z + 8 + 5, 2*z - 3 = -r. What is the least common multiple of r and y?
187
Suppose -3*x = 4*r - 4*x - 42, -4*r = -3*x - 30. What is the smallest common multiple of r and 366?
732
Suppose 5*z + 486 = 11*z. Let r = -77 + z. What is the least common multiple of 28 and r?
28
Calculate the common denominator of (-342)/6669 + (-3651)/(-155610) and -17/399.
3990
Suppose 4*o + b - 4*b = -20002, 24985 = -5*o - 5*b. Let c = -119831/24 - o. What is the common denominator of 185/74*1/((-12)/(-10)) and c?
24
Suppose 12 = -3*y, -4*w + 2*w + 16 = 3*y. Calculate the least common multiple of w and (-1)/(29 - 466/16).
56
Suppose -2*o - 74 = 6*j - 11*j, 0 = 2*j - o - 29. Let r be -2 - -176*(-3)/(-3). What is the common denominator of (r + 4)*2/j and -73/14?
28
Let f = 80/21 + 205/84. Find the common denominator of f and 59/584.
584
Suppose 0 = 11*s - 101*s + 5342 + 58. Calculate the smallest common multiple of 576 and s.
2880
Suppose -403*y + 1242 = -394*y. Calculate the lowest common multiple of y and 1419.
65274
Let k be (-1402)/181*(-2)/32 - -5. Let i = -14/543 + k. What is the common denominator of -53/40 and i?
120
Let a = -121295708936793/3588350740 - -14/69006745. Let f = -33804 - a. Calculate the common denominator of f and 149/36.
468
Let c = 78 + -252. Calculate the common denominator of -5/7 and (-410)/12 - (-145)/c.
7
Suppose -29*q + 15972 = 34*q - 3180. Calculate the lowest common multiple of 1102 and q.
8816
Let o(d) be the first derivative of 3*d**2 - 27*d + 36. Let p(c) = 3*c - 9. What is the lowest common multiple of p(14) and o(6)?
99
Let u be (-5 + (-23331)/(-14))*-2. Let j = u + 66501/20. Calculate the common denominator of 2/6 - (-183)/180 and j.
20
Find the common denominator of -145/6 and (1 - 4)*-2 - (-217185)/252700*-7.
21660
Let f = -36685757/286 + 1616900/13. Let x = f + 3899. What is the common denominator of x and -51/140?
1540
Suppose -2*q = s - 28, 2*q - 12 = 51*s - 48*s. Calculate the lowest common multiple of 2330 and q.
13980
Let f be ((-9)/6)/((-51)/(-23630)). Let s = f - -921. What is the smallest common multiple of s and 1?
226
Let z = -609/16 - -153/4. Let k = 29502/23 - 1186021/368. Let q = -1941 - k. What is the common denominator of z and q?
16
Let f(h) = -4*h**2 - 11*h + 6. Let i be f(-5). Let d = -30 - i. Suppose -5*k + 0 - 5 = 0, -v = -5*k - 13. Calculate the lowest common multiple of v and d.
72
What is the lowest common multiple of 873 and (-4 - (-1 - -2))*840/(-280)?
4365
Let i = -54992445/3176 - -17315. Calculate the common denominator of -43/20 and i.
15880
Suppose -2861 = -9*s + 1369. Let c(r) = -57*r - 2. Let h be c(2). Calculate the common denominator of -6 - -4 - (3 + s/h) and -71/4.
116
Let l = 4043/40 + -531/5. What is the common denominator of -30/353 and l?
2824
Let z be 3*1362/54*3. Suppose 4*l - k = z, 2*l - 3*k - 193 + 72 = 0. Calculate the smallest common multiple of 4 and l.
56
Let y = -8755555/3490848 + -6702/12121. Let p = y - -3/544. Find the common denominator of -13/152 and p.
1368
Let m = 27 - 22. Suppose m*u = a + 130, -510 = 5*a + u + 2*u. Calculate the common denominator of -95/24 and ((-21)/(-27) - 1)/(80/a).
24
Suppose 0 = -11*j + 26 + 73. Calculate the least common multiple of 53 and j.
477
Let w be (-77)/14*82 - 4/1. Let y = w + -7069. Let o = y - -45277/6. Find the common denominator of -65/2 and o.
6
Suppose 3*v - 10 = -4, -4*f + 3*v = -1230. Let l = f - 228. Calculate the smallest common multiple of 12 and l.
324
Let z = -330 + 375. What is the lowest common multiple of z and 342?
1710
Let r = -39 - -44. Suppose 142*j + 1050 = 172*j. What is the least common multiple of r and j?
35
Calculate the lowest common multiple of (-177)/(-2) - 71/142 and 2032.
22352
Suppose -5*v - 1030 - 9440 = -5*n, -4*n + 10468 = -5*v. Let o = v + 6208/3. What is the common denominator of o and 75/2?
6
Let z be (-3)/1 - 2221/5. Let u = z - -40993/90. Calculate the common denominator of (-9 + 138/16)*(-505)/(-45) and u.
72
Let q = -37 - 434. Let o = q + 483. What is the least common multiple of o and 32?
96
Let x = -19216 + 1902383/99. Calculate the common denominator of 16/473 and x.
4257
Suppose 2739 = -395*c + 10617 + 8712. Let v be (5 - 0)*6/15. What is the smallest common multiple of v*1 + 1 + 0 and c?
42
What is the least common multiple of 722 and (-12*(-9)/324)/((-1)/((-18240)/5))?
23104
Suppose 15*l - 11*l = -4*y + 788, -l + 3*y = -185. What is the smallest common multiple of 776 and l?
776
Let d = 746816 + -746496. Suppose -z + 9 = -6. What is the smallest common multiple of z and d?
960
Let v(x) = x**3 + 8*x**2 + 9*x + 4. Suppose -2*o + 4*z + 211 = 71, 2*o - 155 = -z. Let t = o + 4. Calculate the least common multiple of v(-6) and t.
880
Let u(f) = 43*f + 8 + 26 + 2*f**2 - 8*f + 67 - 4*f. Calculate the lowest common multiple of 10 and u(-4).
90
Suppose l - 2 = 1. Let p(n) be the second derivative of n**5/20 - n**4/3 + n**3/2 + 3*n**2 - 2*n. Calculate the least common multiple of 22 and p(l).
66
Let p be (0 - 1) + 1 - (-20 - 4). Suppose 0 = 