9. What is the common denominator of t and f?
20
Suppose -1436 = -5*l + 4*o, -3*l + 47 = -3*o - 814. Find the common denominator of ((-102)/(-27))/2*-2 and l/22*(-7)/28.
99
Let a(s) be the first derivative of -s**2/2 + 18*s - 99. Suppose 5*m = 5*j + 35, -m = 3*j + 4 - 15. Calculate the smallest common multiple of 18 and a(m).
90
Suppose 7*u - 3*u = 0. Let m = 1205/158 - 10/79. What is the common denominator of m and u/2 + 26/40?
20
Let q(u) = -u**3 + 9*u**2 + 24*u - 10. What is the smallest common multiple of q(11) and 76?
228
Let c = -22 + 22. Suppose c = -3*t - 2*y + 64, -4*t + y = -4*y - 70. What is the smallest common multiple of 18 and t?
180
Suppose t + 0*t + 6 = 2*y, -5*y + 8 = t. Let u = 3 + y. Let h = 64 + -59. What is the smallest common multiple of h and u?
5
Let t = -1/427 - 37139/4270. Find the common denominator of t and (4/(-14))/(16*(-60)/32200).
60
Let c = -682139/188910 + -2/10495. Let f = 17/1794 - 57191/71760. Find the common denominator of c and f.
720
Calculate the common denominator of -23/35 and ((-952)/(-42))/(294/9).
245
Let s(h) = h**2 + 2*h - 1. Let z be s(7). Let f = 85 - 81. Calculate the common denominator of (z/(-4))/(22/f) and -46/3.
33
Let u = 1223947/30 - 40802. Calculate the common denominator of -10/9 and u.
90
Suppose -3*v = 3 - 9. Let b be ((-2901)/(-42) + v)*-53. Let k = 3764 + b. What is the common denominator of -52/3 and k?
42
Let z = -4897 + 73508/15. What is the common denominator of 5/9 and z?
45
Suppose -318*z = -303*z - 60. Calculate the least common multiple of 156 and z.
156
Let q(j) = -j - 4. Let w(v) = -v**3 - v**2 + 2*v + 3. Let z be w(-2). Suppose z*d = 11 + 16. Calculate the smallest common multiple of q(-21) and d.
153
Let u(g) = g**2 + 3*g - 31. Suppose 3*t + 2*r = -207, 0*t - 3*t = 4*r + 207. Find the common denominator of t/(-15) + -2 - 2 and u(-5).
5
Let k = 20 + -9. What is the smallest common multiple of k and 3 - 46/(-10) - (-2)/5?
88
What is the common denominator of 6/(-33) - (-4 - 1253/(-187)) and 37/102?
102
Suppose -3*n - 3 - 2 = -l, 0 = l - 4*n - 6. What is the least common multiple of 7 and -3 + 1 + 14 - l?
70
Suppose 0 = 3*l - 0*l - 6. Let a be (6/8)/((-1)/(-4)). Calculate the smallest common multiple of 20 and -2*-2*a/l.
60
Let z = 27 + -27. Suppose z = 5*j - 4*t - 126 - 82, -3*t + 154 = 4*j. What is the lowest common multiple of j and 14?
280
Let d = 8 - 9. Let y(q) = 3*q**3 - 2*q**2 + 2*q - 1. Calculate the least common multiple of y(1) and 21 + (-1 - d - 3).
18
Let f = 2944380/7 + -421637. Let k = -183333/182 - f. Find the common denominator of 34/11 and k.
286
Suppose 0 = 2*z + 3*j - 45, -3*z + 5*j = -176 + 61. What is the lowest common multiple of 10 and z?
30
Let c = 522511/28 - 18665. Find the common denominator of c and -77/4.
28
Let r = -1001 + 1608. What is the common denominator of 6/21 + r/(-140) and 49/20?
20
Suppose 5*b - 2*o = 28, 3*b + 2*o - 20 + 16 = 0. Calculate the least common multiple of 38 and b.
76
Suppose 0 = 4*c - 5*c + 18. Suppose 0 = s - 5*d + d - 36, 4*s = 2*d + 116. Calculate the smallest common multiple of s and c.
252
Let n(w) = -w**3 - 3*w**2 + 18*w + 2. Let h(b) = -b + 1. Let i = 11 - 20. What is the least common multiple of h(i) and n(-6)?
10
Let y = 31 - 16. Calculate the common denominator of -123/70 and y/(-4)*(-104)/(-132).
770
Let m(r) = 9*r - 17 + 7*r**2 - 8*r**2 - 3 + 4*r. What is the least common multiple of m(8) and 6?
60
Let o = -4157/2494 - -87/86. Let x = 63 + -59. What is the common denominator of x/(-10) + 436/(-110) and o?
319
Let l = 579/50 + -117/25. Let v = 25 - 18. Calculate the common denominator of (-8)/28 + 31/v and l.
70
Let d(f) = 8*f**2 + f - 1. Let i(v) = 2*v**2 - 22*v + 19. Let h be i(10). Calculate the least common multiple of 12 and d(h).
12
Let h = -1053901 - -4259771/4. Let i = h - 11107. Let m = i + 69. Calculate the common denominator of 25/3 and m.
12
Let m = -20 + 33. Let k = m + 7. Calculate the least common multiple of k and 6.
60
What is the common denominator of (4/(-14))/(3/44) and (2 - 9/6)/(-12 - 14580/(-1233))?
336
Let s = 58650 - 6158324/105. What is the common denominator of 4/165 and s?
1155
Let n be (-6)/21 + (-1244)/(-4305). Let v = n - 2831/615. Let j = 568/37 + -1351/370. Find the common denominator of v and j.
10
Let i be 2255*-3*(-2)/(-1). Let o be (-3)/2 - (2 - 649809/48). Let p = i + o. What is the common denominator of -125/6 and p?
48
Let b = -3980 + 2320. Calculate the common denominator of (-4)/(-18) - 670/(-36) and b/(-35)*(-1)/(-8).
42
Let p be ((-123)/4)/(4*(-12)/(-1904)). Let d = -1212 - p. Calculate the common denominator of d and -71/16.
16
Suppose 8 = g - 2*f, -2*f - 3 = g + 5. Suppose g = 6*w - 4*w + 796. Calculate the common denominator of 103/14 and (-9)/(-27) + w/240.
280
Let s = 4599384/2003911 - 4/32851. Let l = -119/610 + s. Let f = 2773/2574 + -25/117. Find the common denominator of l and f.
110
Let h = 45376181918580410931568903/79715800 - 569224443818921866. Let d = h + -1356/47225. Let z = d - -24/211. Find the common denominator of 81/22 and z.
88
Let h = 1837607 + -154400879/84. Let z = 3544/7 + h. Calculate the common denominator of z and 121/12.
12
Let h be 2/(2*3/12). Suppose -o - h*v + 18 = 0, -5*o = 4*v - 33 - 57. What is the smallest common multiple of 11 and o?
198
Let x(g) = -573*g**2 + 4*g. Let b be x(3). What is the common denominator of 55/9 and (1/(-1))/(-3) - b/(-450)?
90
Let q(u) = u - 45. Let t = 7769/10 + -788. Find the common denominator of t and q(0).
10
Suppose -6*w + 60 = 9*w. Calculate the lowest common multiple of 39 and w.
156
What is the smallest common multiple of 91 and (-252)/27*(-6)/4?
182
Suppose 0 = 3*k - 14*k + 132. Let a(v) = v**2 - 7*v. Let g be a(3). Calculate the least common multiple of (-12)/(((-9)/g)/(-1)) and k.
48
Let y(x) = x**3 - 2*x**2 + 11*x - 15. Let h be y(6). What is the common denominator of 25/6 and -2 + h/10 + 0?
6
Let q = 139/4 - 989/28. Calculate the common denominator of q and 368/42 - 15/35.
21
Calculate the common denominator of (-303)/2*(-4)/288 and -97/6.
48
What is the common denominator of -9/11 and 64500/(-7896) + (2 - 0)*4?
7238
Suppose 2*w - 102 = -3*s + 184, 0 = s + 3*w - 93. What is the least common multiple of s and 5?
480
Let y(d) = 138*d - 694. What is the least common multiple of y(7) and 112?
1904
Suppose 4*d - 3*d - 1 = 0. Calculate the common denominator of -34/3 and -4*d + 3335/989.
129
Suppose 69 = 2*i - i - 3*y, -y + 257 = 3*i. Find the common denominator of (-1)/(-3) - i/(-18) and (5*(-18)/(-480))/((-6)/(-212)).
8
Suppose 19*g - 15 = 16*g. Calculate the smallest common multiple of g and 10.
10
Suppose -8 = -2*t, -2*p + 7*t - 3*t - 4 = 0. What is the least common multiple of 21 and p?
42
Let g be 3*(-3)/(30/(-262)). Let b = g - 1667/20. Calculate the common denominator of 39 and b.
4
What is the least common multiple of (48/(-3 - -7))/2 and -2*4/8*-20?
60
What is the least common multiple of (5*12/70)/(4/14) and 11?
33
Let x be (-34)/(-6) - -4*5/(-30). Suppose -4 = 2*b - 8. Calculate the smallest common multiple of 2 and x - (4 + -1 - b).
4
Let a = -41 - -41. What is the common denominator of a/6 + 6/(-40)*42 and -29/6?
30
Let s = 11224837/422 - 26599. What is the common denominator of s and 1/12?
2532
Let k = 2249/4 + -547. Find the common denominator of -2/9 and k.
36
Suppose 5*c = 20, c = -3*z + 4*c + 15. Calculate the smallest common multiple of 32/6 - (-14)/21*1 and z.
18
Let z(m) = -m**2 - 6*m + 3. Let v be z(-7). Calculate the common denominator of v/(-6)*63/120 and (-5)/(55/2) - 7090/(-880).
40
Let g(t) = t**3 + 7*t**2 + 3*t + 16. Let k be g(-7). What is the common denominator of (6 + 0)*20/k and -81/8?
8
Suppose -5*u - 3*g = -188, -40 = -2*u + g + 33. Suppose 25 = 5*a, 3*c + 2*a - u = -3*a. Suppose -c = -4*v - 0*v. What is the least common multiple of v and 4?
4
Let h = 39 + -35. Let n = h - -8. What is the lowest common multiple of 20 and n?
60
Suppose 2*u = n - 2 + 4, -4*u = -4*n - 16. Calculate the common denominator of -73/24 and 5/330*(-207)/n.
264
Suppose 6*q = 5 + 25. Calculate the common denominator of 67/16 and (-505)/(-2)*q/(-800)*-4.
16
Let t = 239 - 7. Find the common denominator of -85/14 and ((-1)/(-8) + 0)*(-48)/t.
812
Suppose 68*z - 348 = 60. Calculate the leas