3.
891
Let p = -18192 + 18216. Calculate the smallest common multiple of p and 2619.
20952
Let a = 120 - 133. Let r(k) = 2*k + 33. What is the least common multiple of (-14)/(-6) + 1/(-3) and r(a)?
14
What is the common denominator of -23/2156 and ((-915)/(-60) + -15)/(-4*98)?
17248
Let h(g) = -10*g - 8. Suppose -3*o - 2*o = -10. Suppose -5*p + 5*f - 25 = 2*f, o*p - 5*f = -29. What is the smallest common multiple of h(p) and 27?
108
Suppose 2*t + 8*t - 560 = 0. Let x = t - 59. What is the common denominator of 24/11 and 14/4 + x + 13/110?
55
Let d(m) = -4*m**2 + 27*m - 15. Suppose -894*a + 892*a + 6 = 0. Calculate the least common multiple of d(6) and a.
3
Let n(o) = o**3 + 6*o**2 + 9. Suppose 7*b = b. Let q = b - 6. What is the lowest common multiple of 2 and n(q)?
18
Let k(u) = 140*u - 2079. What is the smallest common multiple of 582 and k(15)?
4074
Let v = -68 + 95. Suppose -8*x - v = -17*x. Let s = -5 + 8. Calculate the smallest common multiple of s and x.
3
Suppose 0 = -63*d + 67*d + 4. Find the common denominator of 5117/1032 + (d - -1) and 19/28.
168
Let y be -4*(-8)/(-160) - 16387/40. Let w = y + 414. Find the common denominator of -83/12 and w.
24
Suppose 12*t - 368 = 712. Let s = -6 - -144. What is the smallest common multiple of t and s?
2070
Suppose -f = -5*q + 440, -f + 67 = 2*q - 109. Calculate the least common multiple of (2 - 5)/(-4*(-6)/(-24)) and q.
264
Let j = 211165847/688 - 306927. Calculate the common denominator of 31/16 and j.
688
Calculate the smallest common multiple of 50 and 21476/286 - 5/55.
150
Let z(t) be the third derivative of -t**6/120 - t**5/15 + t**4/6 + t**3/3 - 44*t**2 - 3*t. Calculate the smallest common multiple of z(-5) and 43.
301
Let d = -358941659/2454 + 146268. What is the common denominator of 89/4090 and d?
12270
Suppose 1804*v = 1951*v - 1255527. What is the lowest common multiple of v and 18?
17082
Suppose 149*q - 22 = 147*q + 5*s, 0 = q - 5*s - 6. What is the least common multiple of 48 and q?
48
Let a = -1187 + 1243. What is the smallest common multiple of 504 and a?
504
Let v be 100/26 + 3 + 222/(-78). Suppose -360 = -16*f - v*f. Calculate the least common multiple of 10/(-25) + 17/5 and f.
18
What is the least common multiple of (4/14 - (-3812)/35)*20/6 and 26?
364
Let k(d) = 2*d**3 - 14*d**2 - 29*d - 145. What is the lowest common multiple of 12 and k(14)?
8772
Find the common denominator of 37/102 and (-65)/(-49 + 0/(-4) - -1).
816
Let f(d) = 8*d - 86. Let v be f(11). Calculate the common denominator of -49/12 and (4/(-13))/v + (-38024)/3640.
60
Let k = 139/23 + -111041/18446. What is the common denominator of k and -61/9?
7218
Let m = -56881 - -109353. Let z be (-17632254)/336 + 2 + -1 + 2. Let c = m + z. Find the common denominator of c and 13/6.
168
Let r be (680/(-288) - -6)*20. Let p = 7484/99 - r. What is the common denominator of p and 2/11?
11
Let y be (-2 - (-11)/22)*56/3. What is the least common multiple of 60 and (y/24)/(4/(-48))?
420
Let d(y) = -10*y - 30. Let j(u) = u - 10. Let x be j(6). Let c(g) = g**2 - 27*g - 19. Calculate the lowest common multiple of c(28) and d(x).
90
Let u(m) = 30*m - m**3 + 12 + 29*m - 3*m**2 - 44*m. Calculate the smallest common multiple of 168 and u(-6).
840
Suppose 2*p + 0*p + 4*u = 6, 0 = 2*u + 2. Suppose -t + c = 11, -p*t + 2*c - 37 = 18. Calculate the smallest common multiple of (-4)/12*t*3 and 65.
715
Suppose -4*v + 1967 = 1775. Calculate the lowest common multiple of v and 15.
240
Suppose 0 = -617*w + 612*w + 25. Suppose 337 = w*i + 3*u - 54, 3*i + u - 237 = 0. Calculate the smallest common multiple of i and 48.
240
Let x(z) = z**2 + 3*z - 2048. What is the least common multiple of x(-47) and 5740?
5740
Suppose 0 = o - q, 0 = 3*o - 0*q - 4*q - 2. Let w be o + 39/(-4888)*811/(-2). Let b = 14/47 - w. Find the common denominator of b and -73/38.
304
Calculate the common denominator of ((-272)/(-3400))/(4/(-1290)*-18) and 67/1170.
1170
Let d = -44025/14 + 3151. Find the common denominator of d and (162/(-156))/(-8 - 132/(-16)).
182
Suppose 0 = 8*n - n - 490. Suppose -x + 5 = d, n = 4*d + d - 4*x. Calculate the least common multiple of d and 3/1*(-2)/(-3).
10
Suppose -i = -508 + 489. Let g = 43 + -35. Calculate the least common multiple of g - (-4)/(11 - 3)*0 and i.
152
Calculate the common denominator of (-356)/144*(-24)/828 and 16/207.
1242
Let t = 11350 + -16615. Let x = t - -63215/12. Calculate the common denominator of -143/12 and x.
12
Let v = 3/8840 - 72271/663000. What is the common denominator of v and 19/600?
3000
Let p = 32257/60 - 1607/3. Suppose 177997 = 4*o + 72173. Let w = o + -2169349/82. What is the common denominator of p and w?
820
Suppose -2*s = -4*h + 20, -4*h + 2*s + 32 = -3*s. Calculate the least common multiple of 11 and ((-2 - 9) + (h - 2))*-1.
110
Suppose 1768 - 28 = 29*r. Calculate the smallest common multiple of r and 1840.
5520
Let n(h) = h**3 - 17*h**2 + 50*h + 13. Let d be n(14). Suppose 20*o = 25*o - d. What is the lowest common multiple of 55 and o?
275
What is the common denominator of 73/258 and (-4)/(-48)*(0 - -4)/((-140)/616)?
1290
Suppose -5*j = 391 + 199. Let l = -24 + -52. Let s = l - j. Calculate the least common multiple of s and 16.
336
Let j be 3/10652*8/(-87). Let d = -4556533/5405890 - j. Calculate the common denominator of -53/10 and d.
70
Let m(w) = w**2 - 6*w + 5. Let y = -147 + 157. Suppose -9*h = -y*h + 10. Calculate the smallest common multiple of m(7) and h.
60
Let b(t) = -t + 20. Let p be b(4). Suppose j + 4*j = 20. Calculate the least common multiple of j and (-126)/(-48) + -3 + 294/p.
36
Suppose 12*z + 1027 = 30847. Let o = z + -9857/4. Calculate the common denominator of 113/18 and o.
36
Let y(f) = 6*f**2 - 3*f + 4. Let a be y(-4). Suppose 0 = 7*q - 3*q - a. What is the lowest common multiple of 582/24 + (-1)/4 and q?
168
Let b = 26 + -34. Let i be b + 38 + 2 + -5. What is the common denominator of ((-38)/6)/(2 - 102/i) and 9/5?
80
Let p = -123 + 122. Let c = -9/7 - p. What is the common denominator of -44/7 and c?
7
Let k = -1807 + 967. Find the common denominator of 1328/k*(-15)/(-12) and 87/16.
336
What is the common denominator of 73/21 and ((-42)/(-80))/(606/7070)?
168
Let x = 165066369/20 - 8255709. Let t = x - -2395. Let l = -5036561/880 - -28616/5. Find the common denominator of l and t.
880
Let b(d) = -d**2 + 33. Suppose 0 = -v - r + 17, 60*r - 58*r + 92 = 5*v. Calculate the least common multiple of b(0) and v.
198
Let t(p) = -p**3 + 7*p**2 - 4*p - 16. Let l be t(4). Suppose 0 = 4*k + l, -k = -3*w + 256 + 108. Calculate the smallest common multiple of 108 and w.
1080
Suppose -19*z - 540 = -7*z. Calculate the smallest common multiple of 3/4 - (-348)/48 and (-624)/z + (-16)/(-120).
56
Let d(o) = 2*o**2 + 26*o + 41. Let a(s) = -5*s**2 - 77*s - 124. Let w(g) = 3*a(g) + 8*d(g). What is the lowest common multiple of 54 and w(25)?
54
Suppose -r + 26 = 2. Let c = r + -29. What is the lowest common multiple of (-23)/c + 12/(-20) and 18?
36
Suppose 5*o - 36 = -t, 108*o - t + 18 = 110*o. Suppose 0*c = -3*c + 297. Calculate the lowest common multiple of c and o.
198
Let m(h) = -75*h. Let r be m(-1). Suppose 0 = -l + 5*v + r, v - 205 = -3*l - 4*v. Let w = l + -59. Calculate the lowest common multiple of 11 and w.
11
Suppose 14*y + 12 = 11*y, -4*y - 34 = 3*u. Calculate the lowest common multiple of (54/u)/3*-1 and 193.
579
Calculate the common denominator of 79/98 and (-1394)/10332*(-5)/(9/6 + -1).
882
Suppose -7*i = 9*i. Suppose 2*t - 5*c = 26 + 16, i = -2*t + 2*c + 36. What is the smallest common multiple of 8 and t?
16
Suppose o = 1, 5*h = 4*o - 12 + 308. Calculate the smallest common multiple of 220 and h.
660
Let f(x) = 4*x**2 - 16*x + 33. Let t(m) = -2*m**2 + 7*m - 16. Let w(n) = -6*f(n) - 13*t(n). Calculate the lowest common multiple of w(-4) and 20.
220
Let r = -3/40819 - -695258/18164455. Find the common denominator of -4/3 and r.
1335
Let j be (-1)/(-14)*(-617806)/(-14). Let n = 3147 - j. Calculate the common denominator of n and (-7)/672*-4*110.
84
Let a = 10367/5 + -1741471/840. Find the common denominator of a and 19/3432.
24024
Let h = 1267873319/1750 + -724499. What is the common denominator of 38/49 and h?
12250
Let l(p) = -10*p**3 + 5*p**2 - 9. What is the least common mult