 z - 1234 = -4*w, 0*w + 2462 = 2*z + 2*w. Calculate the least common multiple of z and 8.
4920
Let f be (-3)/(-9) + (-29)/(-3). What is the least common multiple of f/35 - (-138)/7 and ((-2)/(-12))/(10/1686) + 1270/(-12700)?
140
Calculate the lowest common multiple of 4106 and (-888)/(-60) - 14 - 6*(-6)/5.
16424
Let m = -11 - -19. Suppose -10*o + 9*o = 10. What is the smallest common multiple of m and (-198)/o - (-4)/20?
40
Calculate the common denominator of (136/10)/2 - 0 and (-272)/15*(8673/588 - 45/3).
15
Let w = 46765 + -43167. What is the smallest common multiple of 84 and w?
21588
Let r(k) be the third derivative of -k**6/120 + k**5/60 + 11*k**3/3 + 12*k**2. Let h = 32 + -32. What is the least common multiple of 4 and r(h)?
44
Let y = -4/65 + -4603/195. Suppose s + l - 14 = 4*l, 4*l + 32 = 3*s. Find the common denominator of 8 + -6 + (-86)/s and y.
12
Let d = -25860 - -698266/27. Find the common denominator of ((-3)/306)/(1/13) and d.
918
Let d(l) = l + 4. Suppose -a - 12 = 3*a. Let o(y) = y**3 - 22*y**2 + 68*y + 73. What is the smallest common multiple of d(a) and o(18)?
1
Find the common denominator of (378/90 - 4)*910/36 and -77/180.
180
Let j(g) = 3*g**2 + 10*g + 5. Let c be ((-5)/3)/(2/6). Let v(t) = t**2 - 7*t + 14. What is the smallest common multiple of j(c) and v(5)?
60
Let j = 123497/35568 - -1/11856. What is the common denominator of -181/3840 and j?
11520
Calculate the smallest common multiple of ((-396)/14)/(66/(-3080)) and 55.
1320
Suppose -5*n = 3*x - 239, 4*n + 5*x - 108 = 78. Calculate the least common multiple of (-1 - 0 - -10)*(7 + (-266)/57) and n.
147
Let l be (-2)/2*(-21 - -10). Suppose -15*u + l*u + 56 = 0. Calculate the least common multiple of u and 24.
168
Let k = 168517/20 - 8424. Suppose -70 = b + 155. Calculate the common denominator of ((-20)/(-30))/(28/b) and k.
140
Let b(a) = -a**2 + 30*a + 2206. What is the least common multiple of b(-34) and 170?
510
Suppose 26 = 8*l - 38. Suppose -19*u = -l*u - 99. What is the lowest common multiple of 54 and u?
54
Suppose -220 = 1711*p - 1722*p. Suppose 0*y - 5*x - 134 = -2*y, -4*y + x + 286 = 0. Calculate the least common multiple of p and y.
360
Suppose -17 = -3*i + 13. Let z(o) = -o**2 + 16*o - 12. What is the lowest common multiple of z(i) and 32?
96
Suppose 19*w = -818 + 53 + 5553. Calculate the least common multiple of 420 and w.
1260
Let s = 121 + -31. Calculate the common denominator of (-14)/(-40)*-4*s/(-48) and -9/40.
40
Suppose 5*j = -2*p - 11 + 80, -4*p = -j + 27. What is the common denominator of 25/7 and ((-3)/(j/(-173)))/((-480)/(-40))?
420
Let i(d) = -5*d**2 - 279*d + 60. Calculate the lowest common multiple of i(-56) and 41.
164
Suppose 5*v - 8570 = -4*c, v + 32*c = 37*c + 1685. What is the lowest common multiple of 684 and v?
3420
Let r = -39475635/578 - -68297. What is the common denominator of 59/5 and r?
2890
Let a(v) = -6*v + 120. Let m be a(17). Calculate the smallest common multiple of 48 and 36*(8/14 + m/(-56)).
144
Calculate the common denominator of 37/1433 and (-1 - -3)*((-241)/30 - -8)*111.
7165
Let g(v) = -31*v - 125. Let x be g(-5). What is the least common multiple of 15 and 130/12 - (-5)/x?
165
Let w = -5623 - -8945. Let u = -4104/8267 + -494565539/148806. Let x = w + u. Calculate the common denominator of -71/10 and x.
90
Suppose 0 = -4*x + 4*t + 660, -3*x + 2*t + 254 = -241. Suppose x = 14*i - 9*i. What is the common denominator of 21/8 and (-2 - -3)*3/i?
88
Suppose -271*u + 64*u - 43401 = -141933. What is the lowest common multiple of 578 and u?
8092
Let x = -564815/39 - -14484. Find the common denominator of 24/403 and x.
1209
Let r = 99 - 109. Let h be ((-34)/r - 3)/(3/(-1455)). Find the common denominator of (h/(-4) + 3)*(-1)/18 and -111/10.
180
Let s = -32/17 + 585/952. Calculate the common denominator of 71/74 and s.
2072
Calculate the common denominator of -65/2 and 2956/7392 + ((-99)/(-72))/(-11).
462
Suppose 5*c - 172 + 7 = 0. Suppose -3*r + c = 3*y + 6, -10 = 5*y. What is the lowest common multiple of r and 5/((-25)/(-12))*((-5335)/(-33) - 160)?
44
Let n be 19/76 - 29261/4. Let h = -102317/14 - n. Find the common denominator of h and -79/14.
14
Let z be 16/(2/(3 - -7)). What is the lowest common multiple of (z/(-50))/(2*1/(-70)) and 4?
56
Let z = 8096 + -48461/6. Let c = -23843/548 + 5/548. What is the common denominator of c and z?
6
Let x = -21008 + 1344435/64. Calculate the common denominator of x and -77/576.
576
Calculate the common denominator of (-275)/300 + -2*(-2)/(-4) and -23/1332.
1332
Let h = -2/611 - -2177/105092. Calculate the common denominator of h and -52/43.
172
Calculate the lowest common multiple of 300 and (3/4)/((-2)/24)*375/(-15).
900
Let k = -217 - -224. Suppose -73 - 39 = -k*j. Calculate the lowest common multiple of 40 and j.
80
Let h = 5871 - 123352/21. Calculate the common denominator of 139/1518 and h.
10626
Let o(y) = -y**2 + 6*y - 2. Suppose 2*h - 5*x + 15 = 1, 5*x - 11 = 3*h. Let p be o(h). What is the common denominator of -77/12 and p/(-6)*(-147)/(-259)?
444
Let x = -79752841/3230 - -123456/5. Calculate the common denominator of -47/68 and x.
1292
Let t = 4525/12 + -376. Find the common denominator of t and (64/18)/((-434)/93).
84
Suppose 0 = -3*g + 9*m - 9, -3*g - 6*m = -7*m - 15. Let c = 4 + 4. What is the smallest common multiple of g and (c/(-5))/(10/(-25))?
12
What is the common denominator of -83/320 and (-6 - -26*10/35)/((-4)/22)?
2240
Let f(k) = 7*k**2 - 315 - 36*k**2 + 11*k + 323 + 7*k**3. What is the smallest common multiple of f(4) and 36?
36
Suppose 7*l - 2*o = 10*l + 2, 0 = l - 5*o - 22. Suppose -8*r + 56 = 8. Suppose -4*x - 32 = -r*x. What is the least common multiple of x and l?
16
Let s(o) = -o + 10. Let v(w) = 5*w**3 + 4*w**2 + 8*w + 12. Let p be v(-2). What is the lowest common multiple of 22 and s(p)?
418
Suppose r - 4*g = -392, 4*g = 2*r + 6*g + 744. Let k = 406 + r. Calculate the lowest common multiple of k and 45.
90
Suppose -3*t - 15 = 0, 3*s = 7*s + 4*t + 108468. Let m = 3578675/132 + s. Calculate the common denominator of m and -65/72.
792
Suppose 25*g - 10962 = 5*g + 2*g. What is the smallest common multiple of 42 and g?
1218
Suppose -80 = -6*f - 38. Let p(t) = 2*t**2 - 10*t - 4. Calculate the smallest common multiple of 21/35 - 264/(-10) and p(f).
216
Let f(i) = -i**3 - 3*i**2 - i - 7. Let d be f(-5). Suppose -6*m = -2*m - d. Let k = -6841 - -6871. Calculate the smallest common multiple of k and m.
60
What is the common denominator of 938/1072*(-1)/4 and -107/800?
800
Calculate the common denominator of (7/(-5) - (-2907216)/(-439200)) + 8 and -7/6710.
33550
Let s(d) = 6*d**2 - 1. Let f be s(-1). Suppose -2*i = -3*i - a + 14, -f*i = a - 54. Calculate the smallest common multiple of i and 4 + -6 - 406/(-7).
280
Let s(d) = 3*d**2 - 53*d - 18. Let v be s(18). Suppose -3*w + n + 3*n + 348 = v, 4*w - 5*n = 463. Calculate the smallest common multiple of 10 and w.
560
Let p(y) = y**2 + 14*y - 110. What is the lowest common multiple of 5350 and p(6)?
5350
Let l = -6631/5 + 1337. Let q = l + -11. Let z = q - -2/35. Calculate the common denominator of z and 49/4.
28
Find the common denominator of 101/44 and (6 - (-23 - 9)/(-4))*(-314)/1104.
3036
Let v = -24387599/744 - -32779. What is the common denominator of 107/56 and v?
5208
Suppose -23*n - 4*u = -22*n - 160, 6*u + 530 = 4*n. Suppose -r - 173 = -5*y + 251, 2*r = y - 92. Calculate the least common multiple of n and y.
420
Let t(r) = 9*r - 7. Let o be t(3). What is the lowest common multiple of 30 and ((o/8)/(-5))/(2/(-144))?
180
Let u = -42840 - -43050. Suppose -3*b + o + 72 = 2*b, -2*o - 54 = -4*b. What is the lowest common multiple of b and u?
210
Let z = -83 - -204. Suppose 2*n + 2*n - g = z, -3*n + 2*g = -92. Calculate the common denominator of 93/32 and 6/12 - n/56.
224
Suppose -l + 3*l - 6 = 0. Suppose 1 = -s - 3*d + d, l*s = d - 17. Calculate the lowest common multiple of 8 and (-1)/s - (-352)/40.
72
Let s(o) = -122*o**2 + 25*o + 50. Let d be s(-2). Calculate the smallest common multiple of 8 and d/(-6) + 236/(-177).
80
Suppose 0 = -5*w + v + 4*v + 10, w - 18 = 5*v. Let s = -39922/7777 + 30/707. What is the common denominator of (252/120)/(1*w/(-12)) and s?
55
Let h = 8071 - 8066. What is the least common mult