se -5*p + 56 = -64. Suppose -16*q + 10*q = -p. Let f(b) = b**3 - 8*b**2 + 6*b + 9. What is the least common multiple of q and f(7)?
4
Let w(i) = i**3 + i**3 - 4*i**3 + 29 + i**3 + 10*i**2 - 20*i. What is the smallest common multiple of 20 and w(5)?
540
Let g be (-2)/(11/40 - (-4)/32). What is the common denominator of 131/18 and 217/(-34) - (g - -3)*2?
306
Suppose 0*c - 2*p = -5*c - 1890, -401 = c - 5*p. Let f = c + 432. Calculate the smallest common multiple of f and 88.
616
What is the common denominator of 0 - (15/432*-183 - -5) and 17/688?
2064
Suppose 2*o - 8 = -0*o. Calculate the common denominator of (-10)/12 + -7 + (-374)/(-60) and ((-5)/o)/(2/(-38)).
20
Let u(d) = 3*d**2 - 5*d + 6. Let f be u(2). Suppose 5 = f*g - 51. Calculate the lowest common multiple of 6 and 170 + g/(-28) + (-15)/(-12).
342
Let x = -414 - -436. Suppose 4 = 26*q - x*q. What is the smallest common multiple of q and 21?
21
Let g = -16 - -11. Let h(k) = -k. Let z be h(g). Suppose -z*c + 47 = -6*c. Find the common denominator of -92/15 and c.
15
Suppose -27 = -18*v + 1143. Let y be (v/(-13))/((-2)/12). What is the common denominator of (113/5)/(y/(-25)) and -83/24?
24
Calculate the lowest common multiple of 16/((-288)/(-198)) + 292 and 81.
8181
Let g = -96 + 100. Let w be 2/(g*5/310). Let f = 40 - w. What is the smallest common multiple of f and 30?
90
Suppose -3*b + 552 = 3*v, b - 350 - 20 = -2*v. Suppose 3*x - v = 3*t, 2*x - 75 - 43 = 5*t. Calculate the least common multiple of x and 104.
832
Let n(q) be the third derivative of -q**4/4 - q**3/3 - 4*q**2. Calculate the smallest common multiple of n(-3) and -6 + (-12)/(1/(-1)).
48
Let x = 348374/33 - 10556. Let o = 24337 - 803114/33. What is the common denominator of o and x?
33
Let h(c) = -c**2 + 18*c - 13. Suppose -15*x + 119 = -8*x. Let n be h(x). Suppose -17 - 19 = -n*a. Calculate the least common multiple of 51 and a.
153
Let x = 38219/8 - 4784. Let z = 1204 - 1202. What is the common denominator of x and (1 + (-3)/z)*(-2077)/(-62)?
8
Let b = 11 - 8. Let u be (-7)/28*(-19 - (-1)/(-1)). Suppose u*p = 6*p - 12. What is the smallest common multiple of p and b?
12
Let r = -333 - -179. Let q = 216 + r. Calculate the smallest common multiple of 10 and q.
310
Let n(q) = -10*q. Let a(p) = -p + 10 + 0 + 3. What is the least common multiple of n(-1) and a(9)?
20
Let l = -13292981/210090 + 2974/47. What is the common denominator of l and 79/28?
62580
Let j(g) = g**2 - 24*g + 6. Let v be j(8). Calculate the common denominator of (-6)/(-3) - v/(-352)*4 and 121/12.
132
Let p(a) = 2*a**2 + 2*a - 3. Suppose -15*m - 488 = -57*m + 520. What is the lowest common multiple of m and p(-4)?
168
Let y = 64 + -40. Let a(r) = 6*r**2 + 115*r + 239. Calculate the least common multiple of a(-2) and y.
264
Suppose 93 = -7*f + 128. Suppose -21*h - f*h = -2860. Calculate the smallest common multiple of 88 and h.
440
Let k = -21 - -13. What is the common denominator of (2815/575 + -5)/(3/20) and (-92)/k + 1 + 0?
46
Let g = 27344/7485 + 40/499. What is the common denominator of (((-341)/264)/31)/(60/176) and g?
90
Let t = 5136653/126 + -40768. What is the common denominator of 139/360 and t?
2520
Let o = 208 + -206. Calculate the smallest common multiple of 90 + (-1 - o) + 4 and 42.
546
Let g be 25155/(-20) + (-1)/4. Let r = 865933/5 - 174456. Let p = r - g. What is the common denominator of p and 71/4?
20
Let y(t) = 4*t**3 - 57*t**2 - 47*t + 34. Let a be y(15). What is the least common multiple of (2 - a) + (-10 - -13) + 1 and 10/((-2)/((-4)/2))?
10
Let x(p) = -p**2 + 9*p + 2. Let h be x(8). Suppose 23*w - 18*w - h = 0. Suppose w*m - 3 = 13. What is the lowest common multiple of m and 7?
56
Let f = -160 + 231. Suppose -9*j + 269 = f. Let q = -12 - -36. What is the smallest common multiple of j and q?
264
Suppose -4*h + 3*h = -15. Suppose 0 = 17*g - h*g - 4. Calculate the common denominator of (-1)/5 - (-364)/45 - g and -107/10.
90
Let x = 63774251/85 - 750311. Let g = -328/17 - x. Find the common denominator of ((-147)/70)/(6/5) and g.
20
Suppose 3*c - 68 = s, 5*s - 122 = -7*c - 0*c. What is the smallest common multiple of 238 and c?
714
Let g(t) = -4*t**3 - 167*t**2 + 44*t + 94. Calculate the least common multiple of g(-42) and 556.
2780
Let q = 3436/435 - 144/29. Calculate the common denominator of q and (210/1225)/(7/(1715/10)*-2).
30
Let t = -25 - 140. Let h be (-3)/(-21)*t + (-9)/21. Find the common denominator of 7/4 and ((-456)/64)/(0 + h/(-10)).
32
Suppose -4*r = -v - 132, -3*v + 23 = 4*r - 109. Suppose 4*b + 4*h - 40 = 52, -5*h = -b + 11. Calculate the least common multiple of b and r.
231
Let d = 15910 - 15007. Suppose -h + 0*h = -6. Calculate the common denominator of (d/h + -5)/(1*21) and 19/16.
112
Suppose 0*c = -20*c + 960. Let n = c - 37. What is the least common multiple of n and 107?
1177
Suppose 24 - 34 = 5*f + 3*b, 0 = -4*b. Let d = 1248 - 1938. Find the common denominator of 3/f*5/d and -121/6.
276
Calculate the common denominator of 4/(-6) + (-271)/48 and (-13181)/(-56448)*-207 - -49.
128
Let s be ((-2040983)/(-28)*-17)/25. Let f = 49566 + s. Calculate the common denominator of f and -107/12.
300
Suppose 11826 = -50*r + 123*r. Calculate the lowest common multiple of r and 90.
810
Let l be 63/(-12)*-2*(-4)/6. Let q be (2 - 1) + (31 - l). Find the common denominator of (-190)/q*1/8*2 and -119/20.
780
Let c = 1104757/48 + -23014. Calculate the common denominator of -53/4680 and c.
9360
Let q = 23663 + -22427. What is the lowest common multiple of q and 5356?
16068
Let b(c) = -c**3 + 18*c**2 + 14. Let o be b(18). Find the common denominator of -13/12 and 11/128 + (-7)/o.
384
Let g = 300 + -244. Let v = -162673/31 + 5248. What is the common denominator of v and -5*(-6)/90*g/(-2)?
93
Let x = 250 - 245. What is the common denominator of -119/6 and -2 + x/2 + (-3030)/5820?
582
Let z be -79*(-4)/(-2)*(-5 + -10). Suppose -5*q - x + 1321 + 1656 = 0, 4*q - 5*x = z. Find the common denominator of (7/5)/(42/q) and 52/7.
42
Let f = 21 + -27. Let x be (-2 - -1)/((-295)/(-50) + f). Find the common denominator of (-36)/x + (2 - 2) and -68/3.
15
Let h = -1530 - -1576. Suppose 6*v - v - 3*b = 280, 0 = -3*b. Let d = v - h. What is the lowest common multiple of 6 and d?
30
Let t = -57401 - -57419. Let y(v) = 3*v. Calculate the lowest common multiple of y(2) and t.
18
Let q = 4/1531 + -78121/15310. Let p = 523109/358976 + -23/5609. Calculate the common denominator of p and q.
320
Let r = 1136 + -40895/36. What is the common denominator of r and -53/456?
1368
Let l = -899/4 + 29561/132. Calculate the common denominator of ((9630/(-42))/15)/(12/7) and l.
132
Let z be -193*(-3661)/(-18354) - 4. Let d = -4/1311 + z. Calculate the common denominator of -151/402 and d.
402
Let u be 3/9 - 3982/30. Let c = u - -14539/110. Find the common denominator of c and (15 + -29)/140 + 4 + 872/(-180).
198
Let t = -371885/425844 + -25/3943. Find the common denominator of t and -119/456.
4104
Let f = -16 - -34. Suppose p = 5*p - 320. Suppose 3*m - p = -m. What is the lowest common multiple of f and m?
180
Let p be (30/(-9))/(6/9) + 33. Calculate the smallest common multiple of 2 and 8/p + -3 + 159/7.
20
Let u(i) = -i**2 - 1. Let o be (-10)/40 + 10/8. Let x(k) = -4*k**2 - 12*k + 2. Let p(f) = o*x(f) - 5*u(f). Calculate the lowest common multiple of p(13) and 6.
60
Let k = 946 - 856. Suppose 3*f - 7 - 8 = 0. Find the common denominator of 3 + (1775/k)/f and -101/20.
180
Let o = 2996 - 161755/54. What is the common denominator of o and 33/40?
1080
Let h = 10068 - 8759. What is the smallest common multiple of 154 and h?
2618
Let k = -420 + 260. Let z = -138 - k. What is the smallest common multiple of 236 and z?
2596
What is the least common multiple of ((681700/153)/25)/((-4)/(-18)) and 3208?
3208
Let h = 3310978 - 417179671/126. Let n be (7 - 1665/(-70)) + 2/(-4). Let b = h - n. What is the common denominator of b and -107/6?
18
Let v be -1 - -1 - (-6 + 2). Suppose 10*u - v = 8*u. What is the smallest common multiple of (3 - -7) + -5 + u and 5?
35
Let v(l) = -l**2 + 7*l + 519. What is the least common multiple of 483 and v(-15)?
4347
Let g = 2/579743 + -64353893/701489030. Find the common denominator of g and -133/1210.
1210
Let o = 21634/19 + -17481241/15352. What