t x be d(5). Find the common denominator of (-23)/(21*x/18) and w.
182
Find the common denominator of -33/4 and (-21)/((-1050)/20) - 542/430.
172
Let i = -80 + 144. Find the common denominator of (-1)/(-4) + (-7)/i and 11/20.
320
Find the common denominator of -3 + (-2)/2 + (-1653)/(-493) and 2/9.
153
Suppose -5*b - 3*h + 35 = 0, 2*h - 20 = -3*b + 2. Suppose b*k - 33 = -9. Calculate the least common multiple of 38 and k.
114
Let v = 449/172 - 13/215. Find the common denominator of v and -99/184.
920
Let g = -406552/7 - -58220. Let p = g + -1006/7. Let w = -1266 - -13942/11. Calculate the common denominator of w and p.
77
Let g = 23905/703 - 624/19. Find the common denominator of -2/5 and g.
185
Suppose -2*t - t - 5*w + 34 = 0, 2*w - 28 = -3*t. Let d = -2936/21 + 95695/672. What is the common denominator of (t/3)/(-4) - 1055/(-210) and d?
224
Let d = 13 + -17. Calculate the least common multiple of 4 and (-126)/d - 12/8.
60
Suppose -62 + 142 = t. Calculate the smallest common multiple of 15 and t.
240
Suppose 0 = 27*k - 24*k - 12. Calculate the least common multiple of k and 8.
8
Let x be 1*-1*(19 - 7). What is the smallest common multiple of 10 and x/(-9) - (-18)/27?
10
Let x = 0 + 7. Let u be (-2)/x - (-408)/(-42). Calculate the common denominator of (-332)/(-80) - (-4)/u and 35.
4
Suppose 78*g - 84*g = -18. Calculate the least common multiple of g and 123.
123
Find the common denominator of (-4 - -4) + (-38)/(-48) and (-136)/170 + (-46)/80.
24
Let i = 95/18 + -5717/882. Find the common denominator of i and 27/91.
637
Let l = 691/18 + -227/9. Suppose 0 = 5*v + 2*w - 102, -2*w = -3*v - 2*v + 98. Find the common denominator of l and (-226)/(-6)*(-3)/v.
60
Find the common denominator of -107/14 and 42/(-48) + (-10)/2.
56
Let m = 0 - -6. Let l(i) = i**2 + 2*i + 2. Let k be l(-2). What is the lowest common multiple of m and 20 + k/(1/(-1))?
18
What is the common denominator of 1674/(-48)*(0 - (-4)/6) and 67/22?
44
Let o = -17 - -19. Suppose -5*x - o = -7. What is the smallest common multiple of 21*x/(21/18) and 6?
18
Let c(s) = -s**3 - 2*s**2 - 8*s - 21. What is the smallest common multiple of c(-7) and 8?
280
Let i = 2707 + -35164/13. What is the common denominator of i and 21/8?
104
Let j = 6 + -3. Suppose -j*l = -4*l + h + 93, -420 = -5*l - 4*h. Suppose r - 5*r = -l. Calculate the smallest common multiple of r and 8.
88
Suppose y - 3 - 7 = 0. Suppose -3*s + 38 = -4. What is the smallest common multiple of s and y?
70
Let q = -1406/9 + 150. Find the common denominator of q and -87/4.
36
Suppose q = -3*q. Suppose s = -q*s. Suppose -3*v + s*v = -48. What is the smallest common multiple of v and 4?
16
Let h = 1705/546 - 31/42. What is the common denominator of h and 83/4?
52
Let a = -13 + 13. Let h(i) = -i. Let k be h(a). Suppose 0*y - 2*y + 2 = k. What is the lowest common multiple of 11 and y?
11
Let a = -111365/40914 - 2/6819. Calculate the common denominator of 37/20 and a.
180
Let m be (-1)/(-9)*(-4 + 170). Let b = m - -85/18. Find the common denominator of b and -93/38.
114
What is the common denominator of (3 + -5)*230/320 and 22/100 + -5 + 6?
400
Let z(t) = -60*t**3 + t**2 + 2. Let x be z(2). What is the common denominator of 2/(17/(7242/(-120))) and (-6)/(-8)*x/63?
70
Let r(d) be the third derivative of d**6/120 + d**5/30 - 5*d**4/24 + 6*d**2. Calculate the lowest common multiple of r(-3) and 20.
60
Let q(u) be the third derivative of u**5/60 - u**4/3 + 5*u**3/2 + 8*u**2. What is the smallest common multiple of 33 and q(6)?
33
Let i(x) = x**3 - 3*x**2 - 5*x + 9. Let d be i(4). Suppose -2*m + 22770 = -d*m. Let n = m - -45641/6. Calculate the common denominator of 15/14 and n.
42
Let j(m) = 53*m + 436. Calculate the smallest common multiple of j(-7) and 273.
1365
Let v be (750/(-45))/(0 + 1/(-3)). Find the common denominator of v/(-27)*39/(-26) and -2/17.
153
Let m(j) = -2*j**2 + 14*j - 6. Calculate the smallest common multiple of 15 and m(6).
30
Suppose 11*a + 16*a = 162. Calculate the least common multiple of 120 and a.
120
Suppose 0 = -126*z + 35*z + 17745. Calculate the smallest common multiple of 30 and z.
390
Let h(n) = -7*n + 0*n - 4 + 4*n. Let v be h(-3). Suppose -44 = -k + v*k. What is the common denominator of 19/6 and k?
6
Suppose 210 - 795 = -9*a. What is the smallest common multiple of 40 and a?
520
Let g = 461 + -426. What is the lowest common multiple of 56 and g?
280
Let c(h) = 2 - 4 - 1 + 0 - 4*h. Let s be c(-2). Suppose 0*u - 3*u + 24 = 3*r, 0 = s*r - u - 10. What is the lowest common multiple of 1 and r?
3
Let z = -437813/44 - -9949. Let h = 101 + -172. What is the common denominator of z and h/28 - (33/(-12) - -3)?
308
Let w(j) = 140*j + 5. Let k be w(5). Find the common denominator of ((k/(-6))/(-5))/(-3) and (-2 + 321/9)*3/(-4).
12
Suppose -5*h + 22 = 4*o - 139, 5 = -5*o. What is the smallest common multiple of 18 and h?
198
Suppose 0 = -21*x + 19*x + 6. Suppose 15*y - 14*y - 80 = 2*o, 231 = 3*y + x*o. What is the lowest common multiple of y and 22?
858
Calculate the common denominator of 3/214 and 12 + (-7)/(-56)*-27.
856
Suppose -3*u + 15 = 0, 5*z - 2517 = 3*u + 5303. Let m = 4004 - z. Let d = m - 14581/6. What is the common denominator of -31/20 and d?
60
Suppose -3*m - 60 = -8*m + 5*x, -2*m + 3*x + 24 = 0. Suppose 0 = 38*c - 56 - 58. Calculate the lowest common multiple of c and m.
12
Let h = -10 + 26. Let x(s) = -s**3 - 8*s**2 - 26*s - 60. What is the least common multiple of x(-6) and h?
48
What is the common denominator of 65/2 and (1422/(-36))/(-1 - -7)?
12
Suppose d + 0*d + 3*w - 10 = 0, 0 = 2*d + 3*w - 17. Suppose -5*i - d*m + 130 = -2*m, 9 = -3*m. Calculate the lowest common multiple of 4 and i.
116
Let j = -48 + 118. Calculate the least common multiple of j/28*(-28)/(-5) and 38.
266
Let c = 4784 + -526199/110. Calculate the common denominator of c and 71/9.
990
Let b be (5/2)/5*2/(-1). Calculate the least common multiple of 3/(3 + -4)*b*10 and 24.
120
Suppose 3*i + 2 = 5*x, 18 = -5*i - 5*x - 52. Find the common denominator of ((-7)/3)/((-3)/(-6)) and (8 - -1)/((-21)/i).
21
What is the least common multiple of (-1440)/48*(-6)/9 and 106?
1060
Suppose 9 = 3*d, -4*i + 2*d + 57 = 5*d. Calculate the smallest common multiple of 4 and i.
12
Let z(h) = -14*h + 16. Let b be z(5). What is the common denominator of -55/8 and (-6)/b*387/6?
24
Let u(l) = -l**2 + l + 22. Let b = -15 - -7. Let y = -4 - b. What is the smallest common multiple of y and u(0)?
44
Let r = 127723 + -1010361/8. Let w = 1431 - r. Let p = w - -461/24. What is the common denominator of p and -68/9?
9
Let t(l) = -l**2 + 18*l + 18. Let h be t(20). Let k = 44 + h. Calculate the lowest common multiple of k and 8.
88
Calculate the least common multiple of 54 and (-169 + 170)*(6 + 0).
54
Suppose -12*r - 127 = 101. Let f = 29 + r. Calculate the smallest common multiple of 49 and f.
490
Let d(b) = -7*b**3 - b**2 - 6*b - 3. What is the smallest common multiple of d(-2) and 6?
366
Suppose 4*p - 10 - 10 = 0. Let v = -29 - -43. Suppose -3*a + 4*g = -v - p, 5*a - 28 = 3*g. What is the least common multiple of a and 9?
45
Let c = 45 - 57. Let p = 20 + -12. Calculate the common denominator of (-15)/(-54) + p/c and 43/10.
90
Let s(h) = h**2 - 10*h - 9. Let f be s(11). Suppose -3*c = -6, 0*c - f*c + 28 = -d. What is the common denominator of -41/3 and 2/(-2 + (-52)/d)?
3
Suppose 3*n = -2*n + d - 68, -2*n = 4*d + 36. Let v be ((-3)/2)/(7/n). Suppose -2*x = v*x - 35. What is the lowest common multiple of 6 and x?
42
Let j be 2/(-4)*(11 + 3). Let p = -13837/5 + 2780. Calculate the common denominator of j + 9 - 2/7 and p.
35
Let g = -22 - -36. Suppose -4*s - 61 = 5*r, s - 4*s = -4*r + 38. Let w = s + 24. Calculate the least common multiple of g and w.
70
Find the common denominator of 18150/(-720)*(-2)/(-5) and 7/(-8)*-3 - 2.
24
Calculate the least common multiple of 11 and (7/(-28))/((-92)/(-32) - 3).
22
What is the common denominator of 300/56 + (-1)/2 and (-19)/(-4) + 1*-3?
28
Let n be (-3 + 8)*(-2 + 6). Suppose -49*s = -44*s - n. What is the smallest common multiple of s and 20?
20
Suppose 0 = -r - i + 2*i + 7, -4*r + 2*i + 20 = 0. Suppose 2*o = -r*o + 90. Calculate the lowest common multiple of o and 21.
126
Let l be -2*(-1 + 56/61). Let i = l + -2164/549. What