8) and j.
12
Suppose 150 = -5*d - c, 3*d + 96 = 5*c - 22. Let n = 48 + d. Suppose -5*v - 80 = -2*q - n, -3*q - v = -69. Calculate the lowest common multiple of 20 and q.
120
Suppose -8*a - 45*a - 324500 = -103*a. What is the smallest common multiple of 55 and a?
6490
Let d = -5087 - -5912. What is the lowest common multiple of d and 250?
8250
Let p(v) = -v**3 - 18*v**2 - 34*v - 24. Suppose -105 = -29*w + 14*w. Calculate the least common multiple of p(-16) and w.
56
Let c(p) = 118*p**2 - 131*p - 132. Calculate the least common multiple of 33 and c(-1).
1287
Calculate the common denominator of ((11 - -6)/(-85))/((-351)/(-303)) and -9/325.
2925
Suppose -100*h = -139*h - 52 + 208. Suppose 311 = s - 3*v, -2*v + 1 = 3. What is the least common multiple of h and s?
308
Let x(m) = m**3 + 17*m**2 - 58*m + 43. Calculate the smallest common multiple of 432 and x(-20).
432
Let c = 6024 + -48257/8. What is the common denominator of c and 3/15 + (-349)/45?
72
Let u be (-824501)/210*3/(-2577). Let i = u + -24/6013. What is the common denominator of i and 98/(-12) + 0/20?
30
Suppose 183*j - 2*b = 178*j + 50, -5*j - 4*b = -80. What is the smallest common multiple of 855 and j?
3420
Let r = -800 - -803. Let m(i) = i**2 + i - 2. Let n be m(3). Calculate the lowest common multiple of -1*n*(-24)/40 and r.
6
Suppose -5*z - 10 = 2*t, t - 6 = 11*z - 8*z. Suppose t = 4*c - 4*f - 7 - 133, -3*c - 4*f + 91 = 0. Calculate the lowest common multiple of c and 84.
924
Suppose -3 = 4*s + 9. Calculate the common denominator of 73/286 and (70/(-88))/((-152)/(-48) + s).
286
Let y = 244225361/30 - 8143404. Let d = y + 2559. Calculate the common denominator of d and ((-4)/(-81))/((-1)/12).
270
Let t = -1/815 - 21169/17115. Let b = 1/28553 - -24869657/171318. Let o = b - 7763/54. Calculate the common denominator of o and t.
189
Let g(t) = -t**2 + 27*t + 49. Let l be g(31). Let b = -56 - l. Calculate the lowest common multiple of b and 5.
95
Suppose 2519 = 14*u + 651 - 1660. Calculate the lowest common multiple of 168 and u.
504
Let w be -4 - (3 + -7) - (-12348)/(-30). Let z = w + 37379/90. What is the common denominator of z and -107/150?
450
Suppose 30 = 3*w - 6*i, 24 = 2*w + 2*w - 4*i. Let g(m) = 2*m**2 - 4*m + 4. Let x be g(-4). Calculate the lowest common multiple of 44/x + 3 + w/13 and 4.
4
Let m = 663/7 + -356045/3759. Find the common denominator of m and 69/8.
4296
Let c = 216 - 135. Calculate the lowest common multiple of 63 and c.
567
What is the common denominator of -37/526 and (-1 + 74/80)/(39/(-2938))?
5260
Let f = -179/1241 - -437831/2648294. What is the common denominator of -101/220 and f?
21340
Let n = -72 - -74. Suppose 2*x + 43 = 4*v - 3*x, n*v + 3*x = 27. What is the lowest common multiple of 6 and ((-30)/v)/(-1)*4?
30
Let d = 18/1549 - 22856/100685. Find the common denominator of (-61)/(-20) + 2/(-8) and d.
65
Let b = 5804/7 + -52093/42. Let z = b - -408. Calculate the common denominator of (-15)/12 - (-1414)/112 and z.
24
What is the lowest common multiple of 1340 and (((-40)/(-30))/(3 - (-55)/(-18)))/(-1)?
8040
Let z = -85861019/300 + 286203. Find the common denominator of z and 123/100.
300
Suppose -m = -6*m + 10. Suppose 0 = m*q + 5*q - 6251. Find the common denominator of 121/6 and (-8)/10 + q/380.
60
Let c(r) = -8*r**2 - r - 1. Let m be c(-1). Calculate the common denominator of -61/22 and (-244)/3630 + (-854)/(-105) + m.
242
Let u = -68/4529 - -361925/878626. What is the common denominator of u and -63/286?
27742
Let p be ((-44)/(-110))/((-2)/(-20)). Suppose 2*j + c - 71 = 0, 2*j - 7*j - p*c + 179 = 0. Calculate the lowest common multiple of j and 10.
70
Let f = 145 + -132. Let c be (15 - f) + (-5 - 1). Calculate the lowest common multiple of 60 and (-30)/3*c/8.
60
Let w = 59/449 + -350614/2664815. What is the common denominator of w and 87/10?
11870
Let q(t) = t**2 - t - 2. Let y be q(-2). Let i = 10 - y. Find the common denominator of ((-574)/21)/((-148)/i) and 7/11.
407
Let u = 396 + -180. Suppose -24*s = -6*s - u. Calculate the least common multiple of 105 and s.
420
Let y = -32023 - -16331857/510. Calculate the common denominator of 71/48 and y.
4080
Suppose 126*j = 13939 + 3197. What is the smallest common multiple of 102 and j?
408
Let u = -503 - -473. Calculate the common denominator of u/84*(0 + (-116)/(-24)) and -1/8.
168
Suppose 0 = -2138*d + 2142*d - 112. Calculate the least common multiple of 1408 and d.
9856
Suppose -2 = 4*q - v, -5*q + 4*v + 6 = 7*v. Let h(j) = 8*j**3 + 2*j**2 - 6*j - 10. Let s be h(-3). Find the common denominator of -115/42 and (s/16 - q)/(-1).
168
Suppose -678 = -4*k + 390. Suppose k + 668 = 11*r. Calculate the least common multiple of 15 and r.
255
Suppose 0 = 2*n + 3*l - 7, 5*l + 60 = 45. Let a(c) = 20*c - 157. What is the smallest common multiple of 189 and a(n)?
189
Let l = 282 + -280. What is the common denominator of l/60 + (47 - 46) and -8/55?
330
Let c = 511 - 460. Calculate the common denominator of 34/c + 3/144*-55 and 91/24.
48
Let y = 1/3028 + -108257/18168. Let t = -72941/23280 - 1/7760. Calculate the common denominator of y and t.
120
Let a be 0 - 0/(-7) - -20. Let u(q) = -q - 1. Let n(o) = -6*o + 9. Let v(p) = -n(p) + 5*u(p). What is the lowest common multiple of 32 and v(a)?
96
Let u(q) = 8*q**3 + 9*q**2 + 11*q - 8. Let x be u(-5). Let y = x + 73643/88. What is the common denominator of y and 53/8?
88
Let f = 2 - -2. What is the common denominator of 5632/1280*2/56*5 and f/8 + (-37)/4?
28
Suppose s - 648 = -3*w - 5*s, 4*w = s + 882. Find the common denominator of -7 + 1985/w - 3 and 33/28.
308
Let t = 50 - 34. Suppose -18*j - 29 - 43 = 0. Calculate the least common multiple of 4*5/((-10)/j) and t.
16
Suppose -134 + 14 = -8*p. Suppose 9*f - 23 = 4*f + 4*l, 0 = 5*l - 15. What is the smallest common multiple of f and p?
105
What is the common denominator of 43/715 and (-13802)/206360 - (-6)/(-14)?
2860
Let v(g) = 1 + 7*g**3 - 2*g - 16*g**3 + 10*g**3 + 2*g**2. Let f be v(-3). Let l(u) = 3*u**2 + 5*u + 4. What is the lowest common multiple of l(f) and 21?
42
Let z be ((-25297)/322)/(8547/187). Let r = 263607 - 1433758481/5439. Let q = z - r. Calculate the common denominator of -47/6 and q.
138
Let b = -144 - -127. Find the common denominator of (1 + b/6)/((-26)/195) and 101/20.
20
What is the common denominator of 16311/4077 + -6*20/(-270)*-9 and -89/906?
2718
Let i = -422 + 419. What is the lowest common multiple of 6 and 4 + (-3 + 4)*i?
6
Let v be 1 + 3190029/(-1332072) + (-6)/(-14). Let b = 42/881 - v. What is the common denominator of b and -31/8?
72
Let k = 104369057/510 - 204645. Find the common denominator of k and 62/595.
3570
Suppose -g = -2*k - 0*k + 44, 2 = -g. Let y(w) = 1219*w**2 + 181632*w + 209. Calculate the lowest common multiple of k and y(-149).
420
What is the common denominator of (-89)/267*(-1)/(-62)*132/(-121) and -36/2015?
22165
Suppose -7367 + 7255 = -56*i. Calculate the lowest common multiple of i and 1454.
1454
Let o = 12305/6 - 898357/438. Let x = -8/3677263 + -38890647640/39460709253. Let t = o - x. Find the common denominator of 7/6 and t.
294
Let u be (-72)/45*(-10)/4*1. Suppose -2*l - 12330 = -5*l - c, 20557 = 5*l + u*c. Let i = l + -24521/6. What is the common denominator of -3/10 and i?
30
Let m = -3702/11 + 192295/572. Let p = m - 205/26. Let n = 2344/5 - 84709/180. Calculate the common denominator of p and n.
36
Suppose 19 = 2*h + 2*z + z, 4*h + 17 = 5*z. What is the common denominator of h/(-5) - (-417)/(-20) and (-278)/(-24) - 15/45?
4
Let c = -11454 - -12170. Calculate the lowest common multiple of 10 and c.
3580
Let x = -10645 + 4665. Let a = -358829/60 - x. What is the common denominator of a and -77/8?
120
Calculate the common denominator of (23/77)/(71 - 58) and -28/143.
1001
Let d be -2*4*(-8)/71184. Let p = -289073/124572 - d. What is the common denominator of -151/12 and p?
84
Suppose -15 = 4*c + c. Let j(a) be the first derivative of -a**4/4 - a**3/3 + 3*a**2 + 9*a + 1789. What is the lowest common multiple of 2 and j(c)?
18
What is the least common multiple of (-33)/(828/(-138) + (1 - -4)) and 6480?
71280
Let y be 3 + 3 + 2 + -5. What is the smallest common multiple of 4 and y - 26*6/(-12)?
16
Let h = 31630 - 31463. What is the least common multiple of 501 