on multiple of 190 and z.
570
Suppose -3*d - 30 = 5*j - d, 5*d + 18 = -3*j. Let z be (-9 + -93)*9/j. What is the common denominator of -57/8 and 30/24*z/(-15)?
8
Calculate the common denominator of -19/2024 and 1 - (622/24 + (-169)/13).
6072
Calculate the common denominator of -63/46 and (-1)/16*7616/(-160).
920
Suppose 5*r - 3*z + 47 - 204 = 0, -z - 31 = -r. Suppose 0*o = o - 3. Suppose o*f - r = -f. What is the smallest common multiple of 4 and f?
8
Suppose -3*u + 4*c + 1205 = -152, -c = -4*u + 1805. Calculate the smallest common multiple of 82 and u.
902
Let d be (0 - -1)*(4 - 4). Suppose d = f + 14 - 16. Suppose 25 = -f*r + 27. Calculate the smallest common multiple of 11 and r.
11
Suppose v + 178 = 5*k + 5*v, v = -2*k + 70. Suppose 18*w + 7989 = 18039 - 7908. What is the smallest common multiple of k and w?
238
Let t = 3305980/11 + -61441253/198. Let h = -9761 - t. Calculate the common denominator of h and 1/42.
126
Suppose 0*j - 9954 = -8*j + 5*j. What is the least common multiple of j and 948?
6636
Let d be -3 + 10/(-90) + 161894/(-132). Let u be 7/(-7) + (-11101)/9. Let s = u - d. Find the common denominator of s and 49/2.
22
Let a = -18715 + 37413/2. What is the common denominator of -1 - 419/(-84) - 3 and a?
84
Let v(r) = 10*r - 170. Calculate the least common multiple of v(18) and 8.
40
Let q(k) = k + 13. Let j be 1 - -6 - 2 - 1. Suppose -2*a + 2 = -j, 2*a = 3*c. What is the lowest common multiple of q(-7) and c?
6
Let i = -74 - -128. Suppose 0 = -8*x - x + i. Calculate the common denominator of -49/31 and (-6)/(-8)*(-3 - 124/x).
124
Calculate the smallest common multiple of 18 and (-36288)/(-70) - 8/14*(-42)/(-60).
4662
Let u(k) = -24*k + 7. Suppose -2*x = x - 135. Calculate the lowest common multiple of u(-2) and x.
495
What is the common denominator of ((-1)/(-3258))/(36/(-3600)) and -113/6?
3258
Let k = 6 - 4. Let q(p) = -6*p + p**k - 6 - 7*p**2 + p**3 + 10. Calculate the least common multiple of q(7) and 1.
11
Let b(d) = 2*d**3 + 14*d**2 + 9*d + 16. What is the lowest common multiple of b(-6) and 46?
782
Let g(y) = 623*y + y**2 - 22 - 623*y. What is the least common multiple of 12 and g(6)?
84
Let w = 4859 + -465. What is the least common multiple of w and 1014?
13182
Suppose 6225 + 11481 = 235*i - 3444. What is the lowest common multiple of 4/(-3 + 1)*-25 and i?
450
Suppose 4*n = 3*z - 2636906 + 736467, 2*z = 4*n + 1266958. Let u = z - 3778691/6. Let l = u + -3711. Calculate the common denominator of l and -43/11.
66
Let l = -13819 - -13820. Let m = -20 - -55. Calculate the smallest common multiple of m and l.
35
What is the common denominator of 6 + (-8)/(6336/(-4936))*(0 + -1) and 79/3663?
3663
Let a(d) = -3*d**3 + 116*d**2 + 5135*d + 144. Suppose 4*b = 5*g - 164, 3*g - 7*g = -b - 129. Calculate the smallest common multiple of g and a(65).
288
Let n(v) = 4 + 19*v**2 + 52*v**3 + 2 - 50*v**3 - 7*v. Let p be n(-10). Let i = -3 - p. What is the lowest common multiple of i and 15?
105
Let n(u) = u**3 - 3*u**2 - 2*u - 4. Let j be 20*-2*(3 + (-64)/20). Suppose -252 = -j*b - 6*b. What is the lowest common multiple of b and n(4)?
36
Let b = 93 + -98. Suppose 0 = l - 0*u + 2*u - 7, 16 = 2*l + 3*u. Calculate the least common multiple of 88/55 - 2/b and l.
22
Suppose 0 = 3*w + 4*s - 699, -4*s + 931 + 218 = 5*w. What is the smallest common multiple of w and 20?
900
Let s = -40 + 334. Calculate the common denominator of (-44)/s + ((-36)/4)/27 and -103/30.
1470
Let y(j) = 33*j - 44. Let t be y(6). Let a = 198 - t. Calculate the lowest common multiple of a and 16.
176
Suppose -2*x - 4*y = 22, 3*x - 14 + 63 = 2*y. Calculate the common denominator of ((-48)/x + -2)/((-8)/(-6)) and 2 + -1 - 39/(-7).
70
Let m = -54 - -54. Suppose 10*j - 7*j - 12 = m. Suppose 0 = -85*v + 68*v + 102. Calculate the least common multiple of j and v.
12
Find the common denominator of (148/4)/((-270)/10) and 83/384.
3456
Suppose -2*j - 41 + 69 = 0. Find the common denominator of -101/10 and (j/(-48))/((-3)/60).
30
Suppose 0 = -13*m + 99 - 255. Calculate the common denominator of (-1236)/m*(-5)/90 and -63/8.
72
Suppose -7*h = -11*h + 8. Let g = 44 + -34. Calculate the smallest common multiple of h and ((-36)/15)/((-4)/g) + 0.
6
Let v(c) = c**3 - 4*c**2 - 6*c + 8. Let x be v(5). Suppose 2*w = 2*k, -k + x*w + 1 = 5. Calculate the smallest common multiple of 30 and k.
30
Let k = 640 - 412. Find the common denominator of 6/(k/117 - 4) and -63/4.
40
Suppose -5*a - 16*u = -13*u - 36, 3*u = 4*a - 18. Calculate the lowest common multiple of a and (272 + (-2 - -2))*(-8)/(-16).
408
Calculate the least common multiple of 328 and ((-3)/2)/(13/(328328/(-66))).
2296
Let t = 7/457 + -20176/34275. Calculate the common denominator of 131/84 and t.
2100
Let o = -4/59 - -2435/236. Calculate the common denominator of -11 - (1/2)/((-2016)/43932) and o.
48
Let b(d) be the second derivative of -d**4/6 + 3*d**3 + 15*d**2/2 + d. What is the smallest common multiple of 24 and b(9)?
120
Let c(l) = 3*l**2 - 15*l + 4. Let i be c(5). Suppose -y + r + 209 = 0, i*r - 219 = -2*y + 181. What is the smallest common multiple of y and 6?
618
Let y(d) = 8*d**2 - 80*d + 426. What is the lowest common multiple of 14 and y(6)?
1638
Let n = -1594 - -286. Calculate the common denominator of (-20)/160*n/9 and 97/958.
2874
Let p = 204985/32 - 6407. Let b be 1098 + -5 + 3 + 3. Let i = -43969/40 + b. Calculate the common denominator of p and i.
160
Find the common denominator of 2/(-20)*(-19050)/180 - 0 and ((-12)/(-40))/(12/(-430)).
12
Suppose -1161*y + 4620 = -1151*y. What is the least common multiple of y and 420?
4620
Let c(m) = m**3 + 35*m**2 - 1. Let i be c(-35). What is the smallest common multiple of 520 and i/5 - 1144/(-220)?
520
Let w = -1839 - -2049. Calculate the least common multiple of w and 63.
630
Let s = 6978 + -55871/8. Calculate the common denominator of s and 59/1694.
6776
Let j = 488/3 - 2915/18. Find the common denominator of j and 7/126*570/14.
126
Let c = 52 - 49. Suppose -x = 2*n - 7, -c*x + 7*x = -4*n + 12. Suppose -2*u - 7*f = -2*f - 19, -n*u + 11 = f. What is the least common multiple of u and 8?
8
Let p(m) = 0*m - 9 + 0*m - 4*m + 3*m. Let c be p(-10). What is the common denominator of -52/3 and (4/10)/c + 1298/180?
18
Let o be (1698/20)/((-84)/(-490)). Let h = 480 - o. What is the common denominator of 0 + ((-62)/32 - 2) and h?
16
Let z be (-2 + 22/5)*10/3. Suppose z - 18 = -i. What is the smallest common multiple of (-5)/i - (-45)/2 and 90?
990
Let v = 51239/235 - 218. Let s = 3919/470 - v. What is the common denominator of (130/8)/1*2 and s?
10
Let p(k) = -k**3 - k**2 - 4. Let b(q) = -85*q - 1189. What is the least common multiple of p(-3) and b(-15)?
602
Suppose 6 = 5*w - 9. Suppose -3*z + 4*x = 5*x - 34, 2*z = w*x + 19. Let i = 36 - -8. What is the least common multiple of z and i?
44
Let g be (-375)/(-10)*((-133)/(-21) - 5). Find the common denominator of 31/800 and (61/6 - g/(-75)) + -4.
2400
Let n(d) be the third derivative of -7*d**4/24 + 20*d**3/3 + 64*d**2. Calculate the smallest common multiple of 100 and n(-10).
1100
Let z be (9436/66 - 3) + -4. Let m be (-4)/(-7) + 350/(-98) - -139. Let i = m - z. Calculate the common denominator of -11/27 and i.
297
Let c be (-4)/(-10) - (-104)/65. Let z(g) = -c*g + 9*g - 2 - 5*g - 6*g + g**2. What is the smallest common multiple of 9 and z(-4)?
90
Let c = 5369/10 - 538. Let r = -236621/17264 - -20/1079. Let x = r - 349/16. Calculate the common denominator of c and x.
10
Let p = 6183 - 6067. Calculate the smallest common multiple of 30 and p.
1740
Suppose 659*j + 15*j - 1328 = 10*j. Let o = 4 + 6. Calculate the lowest common multiple of o and j.
10
Let h = -12115/12 + 129257/128. What is the common denominator of 43/16 and h?
384
Let a(f) be the second derivative of 5*f**3/2 + 51*f**2/2 + 74*f. Calculate the smallest common multiple of 9 and a(6).
423
Let s be 2506/24*(3 - (-37600)/(-105)). Let z = -37074 - s. Let b = -244/29 - -3923/580. Calculate the common denominator of z and b.
180
Suppose 0 = 3*i - 9261 + 8787. What is the least common multiple of i and 237?
474
Suppose -88 = -10*v + 32. Let b = 45 - 5. Calculate the smallest common multiple of b and (-6 + 2 - -18)/(6/v).
280
Let v = 128 + -72. Suppose -51 - 159 = -70*r. What i