 g = -31769/16952 - 2/2119. Find the common denominator of g and j.
40
Suppose -144 = -53*b + 47*b. What is the smallest common multiple of 24 and b?
24
Let v(x) = 3*x**3 + 3*x**2 - 10*x. What is the lowest common multiple of 32 and v(2)?
32
Let n(p) = -11 - 2*p + 0*p + 3*p. Let c be n(11). Suppose c*s - 3*s = -33. Calculate the smallest common multiple of 7 and s.
77
Suppose -9*j - 76 = -112. Calculate the least common multiple of j and 68.
68
Let u = -17792 - -1120849/63. Find the common denominator of u and 51/14.
126
Let f(x) = -x**3 + 2*x**2 + 28*x + 50. Calculate the lowest common multiple of 4 and f(-6).
340
Let t = 4103/5 + -808. Suppose -55 = 5*o - 2*l + 3*l, o = 3*l - 27. Calculate the common denominator of (-6)/(-8) + 555/o and t.
10
Suppose 3 = t - 16*u + 13*u, -5*u = 4*t - 97. Calculate the least common multiple of t and 12.
36
Let h = 0 - 110. Calculate the common denominator of 7790/456 + 2 + -7 and (-4)/(-10) - 131/h.
132
Let y = -257 - -413. What is the smallest common multiple of y and 6?
156
Let f(x) be the second derivative of -x**5/4 + x**3/3 + x**2 - 2*x - 4. Calculate the least common multiple of 19 and f(-1).
95
Let u = -20480/55537 + 1/2923. Calculate the common denominator of 93/16 and u.
304
Let h be (-12)/30 + (-4)/(-10). Suppose 0 = -4*f - h*f + 28. Calculate the lowest common multiple of 10 - 0/(1 - -2) and f.
70
Let z = 883 + -2686/3. Let y = 235/63 - 9/7. Find the common denominator of y and z.
9
Suppose 0 = -5*h + 43 + 117. Let x be 1/(-2)*h/(-28). Let s = -2/7 - x. Find the common denominator of -23 and s.
7
Suppose 130 = 21*r + 25. Calculate the lowest common multiple of 27 and r.
135
Let t(a) = a**2 + 18*a - 2. Let d be t(-20). Suppose 3*k = -2*n + 5*n - 12, -d = -2*n - 4*k. What is the lowest common multiple of -1 + 1*(1 - -1) and n?
9
Suppose 0 = 15*z - 23*z - 96. Let i(h) = h**3 + 11*h**2 - 14*h - 18. What is the smallest common multiple of i(z) and 4?
12
Let g = -180960/23 + 7870. Find the common denominator of g and (-17)/102 - 133/6.
69
Suppose -3 = 5*n - 6*n, -v + 173 = 4*n. Suppose 0 = 5*a + 2*o - 180, -2*o = -4*a + 28 + 116. Calculate the common denominator of -67/6 and 1/(-4) - v/a.
18
Let k(w) be the first derivative of -w**4/4 - 5*w**3 + 6*w + 7. Calculate the lowest common multiple of k(-15) and 12.
12
Let v = -457 + 12346/27. Let s = -10295/5187 - -8/247. Calculate the common denominator of s and v.
189
Calculate the common denominator of -52/11 and ((-341)/20 - (-195)/156) + 5.
55
Let i = 351507/20 + -17580. Let o be (1 - 0) + (-368)/9. Let a = o - -2071/72. What is the common denominator of i and a?
40
Let a = 1991707/114 + -17470. What is the common denominator of a and -8/15?
570
Let l = -90857 + 1817581/20. Let j = -229/5 + l. Find the common denominator of ((-6)/18)/((-133)/(-67) - 2) and j.
12
Let y = 1285176407/2878022 - 384756/853. Let q = 68182656/241 - 282916. Let t = q + y. Calculate the common denominator of 13/2 and t.
14
Let y(x) = -5*x - 14. Let d be y(-4). Suppose -d*h + 27 = -39. Calculate the smallest common multiple of 5 and h.
55
Let x be ((-36)/(-15) - 2)*5. Let w be x/(3 + (-28)/9). What is the common denominator of (-132)/w*2/24 and 101/32?
288
Let w = 20439/23 - 889. Calculate the common denominator of w and (156/(-637))/((-1)/(-21)).
161
Let u = 47 + -117. What is the common denominator of 17/2 and (-559)/u - ((-10)/(-35) - 0)?
10
Suppose -r + v + 66 = 0, -2*r - r + v + 192 = 0. Calculate the least common multiple of r and 18.
126
Let u(l) = -16*l**2 - 3*l - 2. Let i be u(-1). Let m = -918/167 + -1/334. What is the common denominator of 1414/(-120) - (-2)/i and m?
12
Let t(h) = -h**3 + 3*h**2 + 3*h - 3. Suppose 2*y = 3*l + 1, -l + 3*y - 3 = 3*l. Calculate the lowest common multiple of t(l) and 78.
78
Suppose 0 = 3*k - 2*p - 16, 0 = 4*k - 9*k + p + 36. Calculate the common denominator of k and -69/2.
2
Let y = 36/461 - -32011/9220. Let z = 23/168 - 8263/840. Find the common denominator of z and y.
20
Let r be 108380/475*(-6)/118. Let x = -2/1121 - r. Calculate the common denominator of 40/3 and x.
15
Let o be (56/(-10))/(4/(-10)). Let t be (-90)/(-21) - 4/o. What is the common denominator of -19/18 and ((-133)/2)/(t - -5)?
18
What is the smallest common multiple of (336/(-9))/(-4) + 2/(-6) and 100?
900
Suppose 4*o - 5*l + 28 = 0, -4*l + 6 = -2*o + 7*o. Find the common denominator of 5/15 + 129/12 and ((-3)/99)/(o/(-93)).
132
Let x(k) = -2*k - 4. Let u(s) be the second derivative of 2*s**3/3 - 3*s**2 - 3*s. Calculate the smallest common multiple of x(-7) and u(3).
30
Let v be (348/16)/((-4)/184). Let q = v + 1040. Calculate the common denominator of q and 33/2.
2
Let z be 6/4 - 4781/14. Let s be (70/z)/((-1)/336). Let n = -12701/204 + s. What is the common denominator of -13/4 and n?
12
Let h = -95 + 90. Let n(q) = 2*q**2 + 7*q + 5. What is the smallest common multiple of n(h) and 10?
20
Let n(l) = -5*l - 3. Let w be n(-3). Find the common denominator of (-2)/w*(22/(-4) - -5) and 143/18.
36
Suppose x + 4*s = 20, 0 = -2*x + 3*s - s. Suppose 13*y = 10*y + 36. Calculate the lowest common multiple of y and (-1 + x)*4/3.
12
Let a = -99 + 178. What is the least common multiple of (-16)/(-64) + a/4 and 22?
220
Let d(j) = 6*j. Let h be d(2). Suppose -7*q - 20 = -h*q. Suppose -l + q = -3*i, 2*l + 3*i = 5 + 21. What is the least common multiple of 6 and l?
30
What is the smallest common multiple of (-6)/5 - 464/(-20) and 6?
66
Let o(b) = b**3 + 8*b**2 + 11*b + 6. Let t be o(-7). Let n = -20 - t. What is the smallest common multiple of -21*(-6 + 4) - n and 22?
440
Let g(r) = 2*r**2 - 3*r + 4. Let l be g(1). Calculate the common denominator of -1*l + (-126)/20 and -13/4.
20
Suppose -25*u + 508 = 102*u. Calculate the smallest common multiple of u and 573.
2292
Suppose 0 = 3*a + 5*i - 5, -2*a = 2*i - 3*i + 14. Calculate the common denominator of 4/6 + (-981)/(-108) and (-79)/(-24) + a/(-15).
8
Let x(g) = -g**2 - 5*g - 6. Let v be x(-3). Suppose -5*o + v*o = 0. Let u = 6 - o. Calculate the lowest common multiple of u and 22.
66
Let m(i) = -6*i**2 - 2*i. Let q be m(-2). Let u be 32/q*(-10)/4. What is the common denominator of 57/4 and (8 - u) + 66/(-64)?
32
Let d be 64/(-8) - (-1 + -3). Let b be 0 - ((-94)/d + 4). Let p = 95/4 + b. Calculate the common denominator of -133/12 and p.
12
Let b = 3647177/90 - 40523. What is the common denominator of b and -119/40?
360
Let y be -80 - (-4 - -2)/1. Let m = -74 - y. Calculate the lowest common multiple of m and 18.
36
Let v = 1072 - 467. Find the common denominator of v/(-15)*2/12 and 6 - (-5 - (481/(-12))/13).
36
Suppose 7 = -2*d + 51. Let s(u) = 6*u**2 - 7*u + 2. Let c(z) = 7*z**2 - 6*z + 3. Let h(j) = 5*c(j) - 6*s(j). What is the least common multiple of h(11) and d?
154
Let j = -921 + 969. What is the lowest common multiple of j and 60?
240
Let y(a) = a**2 + 16*a + 6. Let s(c) = -2*c - 1. Let l be s(3). Calculate the smallest common multiple of 4/(-14) - 16/l and y(-16).
6
What is the smallest common multiple of 630/189*1062/4 - -7 and 7?
6244
Let r be ((-78)/315)/((-1)/10). Let h = 695/84 + r. Find the common denominator of h and 70/3.
12
Let a(u) be the first derivative of 3*u**2/2 + 1. Let s be a(5). Find the common denominator of 394/(-48) + 5/s and -1/10.
40
Let v be 173*-2*(-6)/(-12). Let t be (181/(-257))/(12/v). Let l = t - 18/257. Calculate the common denominator of -39/2 and l.
12
Let t be (10/(-8) - 7/(-28)) + -5. Let q = 1/207 - -17161/4140. What is the common denominator of q and -57*36/(-120)*(-2)/t?
20
Let o be 10/22*4848/20. Let u = -16715/154 + o. Calculate the common denominator of 87/10 and u.
70
Suppose -b + 4*i = 4*b - 21, 0 = 5*b - 2*i - 13. Calculate the common denominator of (7*(b - -4))/(-4) and 1*(-2 - 31/8).
8
Let c = -218/5 + 809/15. Find the common denominator of 73/267 and c.
267
Let y be (2 + 0)*3/2. Suppose 2*t + 6974 = -y*v, 4*v - 8 = -0*v. Let l = -69763/20 - t. Find the common denominator of l and -95/44.
220
Suppose -48 = -3*j - j. Let p = 15 + 1. Let a = p - j. Calculate the smallest common multiple of a and 6.
12
Let b be 14/4 - (-19)/38. Let u be (3 - b)/((-4)/12). Suppose u*j - n = 2, 2*j + j - 7 = -4*n. Calculate the smallest common multiple of j and 3.
3
Let i(q) = -2*q + 150. What is the lowes