e -8506 = -f + 66*z - 61*z, 3*f - 25578 = 5*z. Calculate the lowest common multiple of f and 14.
59752
Let w(d) = -2*d - 12. Let p = 82 + -47. Suppose -5*j - 70 = -p. Calculate the least common multiple of 16 and w(j).
16
Find the common denominator of -35/506 and (-5 - -2*52/24)/(256/2088).
4048
Let c(z) = 3*z - 34. Suppose 0 = -h + 5 + 7. Let g be c(h). What is the common denominator of 0 + ((-75)/(-40) - g/(-6)) and 1/6?
24
Suppose 0*t = -4*d + 5*t + 133, -4*d - t + 103 = 0. Find the common denominator of 45/8 and 138/(-32) + (-18)/(d/3).
16
Let f = -2913/4 + 26177/36. Find the common denominator of f and -58/933.
2799
Let l = -141/3001 + 527746/11934977. Find the common denominator of -109/246 and l.
23862
Let a = 206 + -206. Let w(f) = -2*f**3 - f**2 - f + 4. Let c = 29 + -19. What is the least common multiple of c and w(a)?
20
Let f = -639584 - -1508139011/2358. Calculate the common denominator of f and 59/36.
4716
Let g(i) = i**3 + 20*i**2 + 92*i + 69. Calculate the least common multiple of 126 and g(-13).
504
What is the common denominator of ((-24483)/(-6120) + -4)/((-63)/(-6636)) and -151/1190?
10710
Let j = -10300 + -10287. Let w = j - -1667573/81. Calculate the common denominator of 55/21 and w.
567
Suppose 48*q - 167*q = 13320 - 57826. What is the smallest common multiple of 170 and q?
1870
Let p = 16279 - 716251/44. Suppose -4*b + 2*b = -21046. Let a = -420861/40 + b. What is the common denominator of a and p?
440
Suppose -4*j + 9*j = 2*o - 165, -5*j = -o + 170. Calculate the common denominator of ((-252)/j)/((-238)/(-105)) and -101/170.
170
Let p = -11442001/90 + 127132. Let u = 16117/75 + -3232/15. Find the common denominator of u and p.
450
Suppose p = 5*x + 1174, -x = 4*x + 5. What is the lowest common multiple of 87 and (-1)/(-7) + p/49?
696
Let k be (72/(-108))/((-2)/1320). Suppose -25*r = -5*r - k. Calculate the smallest common multiple of r and 10.
110
Let y = -1223 - -1685. What is the smallest common multiple of y and 21?
462
Suppose -4*t + 4 = r, 0 = 2*t - r - 7 - 1. Suppose g + 4*g = -f + 136, t*f - 2*g - 248 = 0. Calculate the lowest common multiple of 14 and f.
126
Let s be 1256/(-110)*(-99 - 10) + -2. Let a = 1938/11 - s. Let f = 1063 + a. What is the common denominator of f and 38/3?
15
Let a = 77 + -67. Let y(s) = 4*s + 17. Let w(b) = 5*b + 17. Let l(j) = -5*w(j) + 6*y(j). Calculate the lowest common multiple of l(5) and a.
60
Let i be -3 + (4/9)/(40/180). Calculate the lowest common multiple of 12 and 3/(-3) - (6 - (i - -24)).
48
Suppose -3*v - 486469 = 227165. Let t = 468857528/1971 + v. Let w = -92437/39420 + t. Calculate the common denominator of -69/44 and w.
220
Let p = 32687/18 - 1817. Let j be (-19075)/(-384) + (-15)/(-5). Let g = j - 158/3. What is the common denominator of g and p?
1152
Let l(r) = 8*r + 202. Suppose -2*j + 3*j = 4*d + 14, 0 = -2*j + 2*d + 22. Calculate the lowest common multiple of j and l(-23).
90
Let j = -3824585/272 - -14061. Find the common denominator of -7/68 and j.
272
Suppose -61 - 19 = -5*g. Let d = -184 - -194. Suppose d*c - 108 = 7*c. Calculate the least common multiple of c and g.
144
Let p(x) = x**2 - 67*x + 7 - 3*x**2 + 42*x. Let j be p(-13). Calculate the common denominator of (j/51)/(-1)*26/(-8) and 17/2.
34
Suppose -17*x - 2320 = -7*x - 155*x. What is the lowest common multiple of 134 and x?
1072
Suppose -5*u - 110 = -16*u. Suppose -3*o - 5*o = -40. Calculate the lowest common multiple of o and u.
10
Suppose -183 = -5*n + 392. What is the least common multiple of n and 115?
115
Let t be -15 - (-1 - 6/((-6)/5)). Let s(b) = b**3 + 20*b**2 + 14*b - 22. Let q be s(t). Suppose 8*p - q = 191. What is the smallest common multiple of 18 and p?
198
Let w = 210 - 245. Let f = 14 + 20. Calculate the smallest common multiple of f and w/(-3) + (-4)/6.
374
Calculate the common denominator of ((-8)/28)/(5/(580/8)) and 3160/(-32)*(-1)/20.
112
Let o(a) be the third derivative of -a**5/60 + 2*a**4/3 + 3*a**3/2 + 2*a**2. Let v(y) = 5*y - 313. Calculate the smallest common multiple of v(65) and o(16).
36
Suppose -24*k - 13*k = -148. What is the common denominator of (k/14)/(-2*(-90)/(-1743)) and 19/60?
60
Let g(f) = f**3 - 7*f**2 - 19*f - 40. Let o be g(11). Suppose y + 145 = 3*k, -5*k - 3*y - 2*y = -o. Calculate the lowest common multiple of 30 and k.
240
Calculate the lowest common multiple of (25*1)/(5/6) and 930.
930
Let b(q) = 3*q**2 + 4*q - 1. Let h be b(5). Let o = h + -60. Suppose -31*d = d - 128. What is the lowest common multiple of o and d?
68
Suppose -1408 + 2784 + 2800 = 16*x. What is the lowest common multiple of x and 1?
261
Let i(r) = r**3 + 17*r**2 - 59*r + 53. What is the lowest common multiple of i(-20) and 948?
10428
Let g = 2704727/131 + 49538255/5502. Let q = -29647 + g. Calculate the common denominator of q and 13/60.
420
Let v = -34259/6 - -5685. Let b = -24 + 14. Find the common denominator of v and b/8*(-804)/450.
30
Suppose -3*b = 3*l - 18, -3*b = -2*l + 2 - 0. Calculate the lowest common multiple of b and ((-16)/(-7))/(1/7).
16
Let y = -1636 - -1720. Calculate the least common multiple of 354 and y.
4956
Suppose 34 = 7*d - 1. Suppose -4*f + 2*z - 22 = 0, 0*z + 2*z = -d*f - 23. Let v = f - -39. Calculate the least common multiple of v and 7.
238
Let z be 4 - 5 - -7 - (-8 - -11). What is the lowest common multiple of 7 - (2 - z - 6) and 108?
756
Let z(s) = -s**3 + 32*s**2 + 33*s - 6. Let c be z(33). Let l = 5/151 + -4424/1359. Find the common denominator of l and (-45 + -2)*(440/72 + c).
9
Let a be (-3060)/(-28) + -1 - 2/7. Let m be (a/(-16))/(1/16). What is the least common multiple of (-996)/m + (-4)/18 and 9?
9
Let d = -144 - -174. Suppose -14*x + 9*x + d = 0. Calculate the least common multiple of 24 and x.
24
Suppose a + r = 33, 5*r - 53 = -2*a + 4. Let o(w) = w + 30. What is the least common multiple of o(0) and a?
180
Suppose 97*h + 17*h - 42750 = 0. Calculate the lowest common multiple of 750 and h.
750
Let g(l) = -l + 5. Let b be g(0). Suppose 2189 = -b*u - 436. What is the common denominator of (-215)/u - 3/((-45)/6) and -5/3?
21
Let i(v) = -18 - 9 - 2 + 8*v - v**2 + 42. Let b be i(9). Calculate the lowest common multiple of 2/(-4)*(b - (9 - -1)) and 32.
96
Let k(z) be the third derivative of -2/3*z**3 + 0*z + 0 - 1/24*z**4 - 8*z**2. What is the least common multiple of k(-6) and 18?
18
Let d = -30 + 34. Suppose 19 + 1 = d*x. What is the common denominator of (6 - x)*65/27 and -1/21?
189
Suppose -56 - 9 = 13*s. Let v be (-50)/4*(-24)/s. Find the common denominator of 131/6 and ((-1)/(-2) + -1)*546/v.
60
Let w be (178/4 - (-8)/(-16)) + 4. Let u be 414/790 + (-3 - w/(-20)). Let p = -3221/237 + u. Calculate the common denominator of 99/4 and p.
12
Let r be (-2)/9 + (-22865)/(-2142). Let b = r + 45/14. Calculate the common denominator of ((-3)/36 + 0)*-55 and b.
12
Suppose -g + 152 = -c, -4*g + 2*c + 457 = -g. Suppose -4*v - 304 = -4*o + 268, -o - v = -g. What is the lowest common multiple of 2 and o?
148
Suppose -7*n + 6*n = 4. Let z be ((-10)/4)/(n + 44/16). Calculate the least common multiple of (0 - 3/(-2))/(z/12) and 6.
18
Calculate the common denominator of (-1461)/(-972) - (4*(-54)/(-48) - 3) and 53/56.
4536
Let g(w) = 31*w**2 - 1233*w - 151. What is the lowest common multiple of 16*2*(-3)/(-4) and g(40)?
1032
Let k = -5/75523 + 496569/4153765. Calculate the common denominator of k and -39/350.
3850
Let f = 63275/18 + -3518. Let g = -211545/26 + 8135. Calculate the common denominator of g and f.
234
Suppose -5*j - 1299 = -4*s, -37*s + 2*j + 1594 = -32*s. What is the smallest common multiple of 20 and s?
1580
Let c(g) = 1 - 148*g + 76*g - 4 + 75*g + g**2 + 9*g**2. Suppose -9*a - 3 = -12*a. Calculate the smallest common multiple of 50 and c(a).
50
Suppose -872560 = -238*i + 598756. Calculate the smallest common multiple of 2 and i.
6182
Let p(r) = 133*r + 2037. Calculate the lowest common multiple of p(-13) and 280.
3080
Suppose -22 = 14*t - 92. Let k be 53/(-11) + t + 1978/11. Suppose k = -0*r + 10*r. Calculate the least common multiple of r and 15.
90
Let y be (1827/1860 - 0)/(24/(-472)). Let r = y - -495/31. Find the common denominator of 101/290 and r.
580
Let b(f) = -2*f**3 - 12*f**2 + 5*f. Let a be b(-6). Let o = -2809/92 + 3/92. What is the 