4)).
4228
Find the common denominator of 101/666 and 3465/1215 - (-3)/12*-2.
1998
Let l(o) = o**2 - 24*o - 9. Let w be l(24). Let m = 57 - 27. What is the least common multiple of m and (-40)/(-180) - 61/w?
210
Let a = -22 + 62. Suppose -2*q - 20 = -a. Calculate the smallest common multiple of (-78)/(-18) + 2/(-6) and q.
20
Let x = -6444 + 25835/4. Let d = 3254 - 1968. Let j = -3892/3 + d. What is the common denominator of x and j?
12
What is the common denominator of 181/90 and ((-265)/(-33125))/((-3)/(-395)*2)?
450
Let y = 1117469/8031408 + -7/21648. Calculate the common denominator of -65/42 and y.
2226
Let q = 237 - 240. Find the common denominator of (-70 + q)*(-10)/(-1020) and 73/15.
510
Let j(r) = -4*r + 5. Let w = -8 + 10. Suppose -3*d + 8 = -5*q, -2*q + 5*q = -w*d - 1. Calculate the least common multiple of 12 and j(q).
36
Let p be 2/13 - 4439/(-299). Suppose -p*r + 448 = r. Let c(o) = -o**3 + o**2 + 5*o + 4. What is the lowest common multiple of r and c(3)?
28
Let u = 58446 - 2104027/36. Let j = 2657/10280 - 1/7710. Calculate the common denominator of u and j.
360
Let d(o) = -o + 3*o**2 + 0*o**3 - 3*o**3 + 0*o**2 + 1 + 4*o**3. Let g(f) = -4*f + 140. Calculate the smallest common multiple of d(-2) and g(32).
84
Let j = -77/87 + 1235/1392. What is the common denominator of -131/288 and j?
8352
Let n = -253 - -441. Calculate the least common multiple of 44 and n.
2068
Suppose -9*m = -6*m + i - 129, 4*m - 188 = 4*i. Suppose -23*u = -19*u - 2*c - 134, u - 4*c = m. Calculate the smallest common multiple of u and 44.
352
Let n(z) = -23*z - 34. Let k = 280 + -266. What is the smallest common multiple of k and n(-3)?
70
Let o = 6384 + -4010. What is the lowest common multiple of o and 6?
7122
Let w(d) = 3*d**3 - 3*d**2 + 4*d - 4. Let f(l) = -6*l + 6. Let o be f(-1). Let q be -2*(-1)/8 + 21/o. What is the lowest common multiple of w(q) and 36?
144
Let u be ((-49)/(-14))/(1/(-2)). Suppose 0 = -20*h - 0*h + 400. Calculate the smallest common multiple of (-38)/(-7) - (-3)/u and h.
20
Let s(z) = -176*z + 2515. What is the least common multiple of 1380 and s(14)?
23460
Suppose 19*h = -2*w + 14*h + 1802, -4*w + 5*h + 3574 = 0. What is the lowest common multiple of 784 and w?
6272
Suppose 697 = 6*n + 661. Find the common denominator of n/32*6/(792/979) and 27/2.
64
Let o be 2/5 + (-1617454)/880160. Let k = 17757229/5501 - 3228. Let f = k + o. Find the common denominator of f and 45/2.
16
Let n(s) = 6*s**2 + 111*s - 193. Calculate the lowest common multiple of n(-22) and 4.
1076
Let b(g) = 5*g**2 + 14*g + 22. Let j be b(-2). Suppose -u + j*o = 15*o - 53, -4*u + 5*o = -230. What is the smallest common multiple of 60 and u?
660
Find the common denominator of (-28)/120*(-35)/(-14) and -65/2326.
13956
Let w(a) = 15*a**2 + 31*a + 5. Calculate the smallest common multiple of w(-2) and 517.
1551
Let j = -7955 - -7999. What is the least common multiple of j and 1892?
1892
Let m = 92032742085481/362 + -254233919793. Let u = 174366 - m. Calculate the common denominator of u and -99/8.
1448
Let m be 0/((7 - 3)/(-4)). Let w(o) be the second derivative of o**4/12 + o**3 + 33*o**2/2 - 2*o. What is the lowest common multiple of w(m) and 12?
132
Let n be (-3)/12 + (-646)/(-4504). Let u = n - -17555/32654. Let v = 60251/10 + -6022. What is the common denominator of u and v?
290
Calculate the common denominator of ((-20)/(-70)*-9 - -4)/2 and 121/522.
3654
Let j = -38 - 81. Let o = 121 + j. What is the least common multiple of 18 and o?
18
Let o be (-18)/8*(-8)/(-48)*-8. What is the common denominator of -20/153 and 13/17 - (-8)/(o - 11)?
153
Let s(y) = -y**3 + 8*y**2 - 4*y + 7. Let c = 161 - 150. Suppose 168 = c*v + 3*v. What is the lowest common multiple of s(7) and v?
84
Let k = 63 + -61. Suppose k*g + 0*g - 18 = 0. Find the common denominator of (-45)/24*6/g and 31/42.
84
Let y(s) = s**3 + 26*s**2 - 144*s - 4021. Calculate the lowest common multiple of 612 and y(-25).
612
Let z be (42/84)/((-3)/6117). Let o = 975 + z. What is the common denominator of o and -47/34?
34
Suppose -6*i = -5*i - 78. Suppose 6 = 2*p - i. Suppose y - 3 = a, 3*y - 4*a = 4 - 0. Calculate the lowest common multiple of y and p.
168
Suppose 5*m + 21 = -19. What is the lowest common multiple of -4*(0 - (-26)/m) and 6?
78
Let w = 7939/1434 + -7/2390. Find the common denominator of -19/250 and w.
750
Suppose -l + 2*l - 1105 = -11*w, 0 = -3*l - 3*w + 3255. Calculate the lowest common multiple of l and 24.
8664
Let o = 292 + -232. Suppose 0 = 3*p - 5*l - 76, 2*p - o = 2*l - 4. Calculate the lowest common multiple of 30 and p.
480
Suppose -6*g + 78 = -9*g. Let s = g + 29. What is the least common multiple of s and 27?
27
Let b = 20110/11 + -11040511/6039. What is the common denominator of -73/18 and b?
1098
Let r(b) = -1518*b + 6087. Calculate the lowest common multiple of 1092 and r(4).
5460
Let n be 3*(-7 + (0 - -1)). Let l = n + 29. Let k(w) = -w**3 + 12*w**2 - 11*w + 14. Calculate the least common multiple of 14 and k(l).
14
Let h = -6025 - -361411/60. Calculate the common denominator of 57/130 and h.
780
Suppose 7*x + 854 = 574. What is the common denominator of -37/99 and (6/x)/((864/6900)/4)?
792
Let r = -30253/76 - -1603/4. What is the common denominator of -38/3 and r?
57
Let m(x) = 23*x - 1642. Calculate the lowest common multiple of 81 and m(80).
1782
Let k = 10259/43008 - 7/2048. Find the common denominator of 149/24 and k.
336
Suppose 7*o = 11 - 4. Suppose -201 = -10*s - o. Calculate the least common multiple of 938/70 + (-3)/(-5) and s.
140
Let m = -393506/27 - -14576. Let j = 373/3 - 142. What is the common denominator of j and m?
27
Let o = 2062369498234/7 - 4052555887096106/13755. Let g = o - -3388/1965. Let v = g - 12861. Calculate the common denominator of v and -56/33.
231
Let h = 30148 - 30147. Calculate the smallest common multiple of h and 1*(-1 + 1) + 21.
21
Suppose -9*m + 107*m - 784 = 0. What is the lowest common multiple of 64 and m?
64
Let d(f) = 44*f - 336. Calculate the least common multiple of d(9) and 426.
4260
Suppose z + 5*z = 90. Let g(j) = j**2 - 14*j - 5. Calculate the least common multiple of g(z) and 50.
50
Suppose 13*d - 18*d = 2*l + 102, 3*l + 63 = -3*d. What is the common denominator of 37/64 and (-268)/(-32)*5/d?
64
Let g be (2/(-2))/(2/(-76)). Suppose -42*q + 60 = -g*q. Suppose -4*n + 2*t + 39 = -n, 81 = 5*n + 2*t. Calculate the smallest common multiple of q and n.
15
Let a be -4*1/(-18) + 2035/(-45). Let m = 53 + a. Let n = 20 - 15. Calculate the lowest common multiple of n and m.
40
Let z be (12/(-4))/(-12) + 31687/(-126796). Let v = z + 3074533/2852910. What is the common denominator of v and 202/(-6)*9/60?
180
What is the smallest common multiple of (-21)/(-5) - (338/65 + -5) and 4333?
17332
Let z = 7/984 - -8449/22632. Calculate the common denominator of z and 109/10.
460
Suppose -61 = -22*i + 27. Let v be 2 + -1 - -1 - -43. Suppose -x + v = i*x. What is the smallest common multiple of x and 18?
18
Suppose -208*y - 5 = -213*y, -2*l - y = -4441. What is the smallest common multiple of 518 and l?
15540
Let l(o) = -2*o**3 + 2*o**2 - 4. Let c be l(-2). What is the common denominator of (118*1/(-5))/(16/c) and -127/204?
204
Suppose -18*n = -796 - 68. Calculate the common denominator of -4 - -11*20/n and 17/310.
1860
Suppose -3*z - 4*b + 39 = 0, 2*z + z - 5*b - 12 = 0. Suppose -5*d = -49 - 1. Calculate the smallest common multiple of (-15)/d*(-16)/3 and z.
72
Let h(v) = 3*v**3 + v**2 + 7*v - 7. Let x(d) = 4*d**3 + 8*d - 6. Let j(t) = -5*h(t) + 4*x(t). What is the lowest common multiple of j(6) and 1?
29
Let c = 2/69003 - 10144/1587069. Let z be (-6805984)/(-11152)*1/(-1932). Let b = c - z. Find the common denominator of -139/18 and b.
126
Suppose 16*b + 11454 - 13566 = 0. Calculate the smallest common multiple of 572 and b.
1716
Let x = 151 - 21. What is the least common multiple of x and (439/9 - (-6)/27) + 6?
1430
Let f = 2693275/31449168 + 2/218397. Calculate the common denominator of -41/108 and f.
432
Let h be 540483/27 + 21/28. Let y = h - 20017. Calculate the common denominator of y and 79/24.
72
Suppose -5*d - 639 = 571. Let w = d + 257. What is the smallest common multiple of w and 30?
30
Let g = 5745 + -5426. Calculate the lowest common multipl