t = 4*o - 10, -12 = 3*t - 2*o. Let c = t - -6. Let h = c + 1. Calculate the least common multiple of h and 2.
10
Let x = 125 - -243. Let q be 2/(-3) + x/12. Find the common denominator of ((-57)/q)/(4/(-30)) and 101/20.
20
Let d(y) = y**2 - 6*y - 37. Calculate the smallest common multiple of 20 and d(12).
140
Let w be ((-32)/10)/(6/270*9). Let c = -1 - -2. What is the common denominator of c + -2 + 66/w and 44/7?
56
Let v(g) = -g + 23. Suppose 13*f - 222 = 64. Calculate the smallest common multiple of v(f) and 10.
10
Let k(j) = 2*j - 24. Calculate the lowest common multiple of k(15) and (525/84)/((-10)/(-48)).
30
Suppose -4*w - 20 = 168. Let k = 97 + w. What is the lowest common multiple of k and 16?
400
Suppose -4*n + 4*a - 4 = 0, -11 = -0*n - n - 3*a. Suppose 0 = -3*d + 30 + 3. Calculate the least common multiple of d and n.
22
Let h(k) = 1028*k - 3 + 3123*k + 6638*k. Let c be h(-2). Let m = c - -1381113/64. Find the common denominator of 13/8 and m.
64
Let b = 7 - 7. Suppose -3*o + 5*q + 45 = 0, -37 = -2*o + q - b*q. What is the smallest common multiple of o and 20?
20
Let o(n) = -12*n + 158. Calculate the lowest common multiple of o(-14) and 20.
3260
Let q = 69127/10 + -6904. Find the common denominator of q and (-122)/488*(-393)/18.
120
Let w(o) = -3*o + 5. Let c = 8 + -3. Let g be w(c). Let k = g - -13. What is the smallest common multiple of 9 and k?
9
Let f be (70/(-15))/((-1)/(-3)). Let a(n) = -2*n - 25. Calculate the lowest common multiple of 5 and a(f).
15
Let f be 40*(-4 + 785/190). Let o = 935/304 - f. Find the common denominator of o and -85/4.
16
What is the common denominator of (-394)/624 - (-8)/(-64) and 35/52?
156
Suppose 2*c = -8, -3*b + 5*c - 6*c = 625. Let i = -431/2 - b. Let w = -22561/1167 + -1/1167. What is the common denominator of i and w?
6
Let i = -127/15 - -589/30. Calculate the common denominator of i and -91/498.
498
Let i = -32 + 57. Let y = i - 13. What is the smallest common multiple of 22 and y?
132
Suppose -16*a + 4*a = 1080. Calculate the common denominator of 1/1 + 790/a and 76/9.
9
Find the common denominator of ((-34)/(-132))/(5/(-20)) and 19/12.
132
Let y(g) = -g + 10. Let k be (-2 - 1/1) + 5. Suppose 3*n = -9, p + 5*n = k*p - 37. Calculate the lowest common multiple of p and y(-6).
176
Let q = 1844000765/24 + -76847636. Let k = q + 14268. What is the common denominator of k and 115/12?
24
Let m(p) = 5*p + 10. Let c be m(6). Suppose c*j = 37*j + 78. What is the lowest common multiple of j and 4?
52
Let c(u) = u**2 + 4*u - 6. Let t(s) = -3*s**3 - 2*s**2 - 2*s - 2. Calculate the lowest common multiple of c(-6) and t(-2).
18
Let n be ((-104)/20 + 4)*-5. Suppose -d - n = -24. Calculate the lowest common multiple of d and 14.
126
Suppose t + 32 = 5*i - 1927, 9795 = -5*t - 3*i. Let l be (-78092)/30*(-12)/16. Let q = l + t. Calculate the common denominator of 8 and q.
10
Let u = 3741669495/56 + -66810782. Let x = 4745 - u. Find the common denominator of 95/16 and x.
112
Suppose w - 10 = 2*f, -9 = -3*w - 4*f + 21. What is the smallest common multiple of 10 and (2/10)/(2/w)?
10
Let s = 530 + -506. Calculate the smallest common multiple of s and 88.
264
Suppose 14*s - 15*s + 6 = 0. Calculate the smallest common multiple of 216/28 - s/(-21) and 5.
40
Let u = -3837/8 - -57767/120. Calculate the common denominator of u and 125/24.
120
Let k be ((4*-4)/4 + 5)*-262. Calculate the smallest common multiple of 14 and k/(-8) + (138/(-24) - -5).
224
Let p be (-1)/(-2) + (-134)/4. Let u(y) = 16*y - 17. Let z be u(0). Let j = z - p. Calculate the lowest common multiple of j and 4.
16
Let i(t) = -816*t + 3. Let o be i(2). Let h = 3179/2 + o. What is the common denominator of h and 8/(-36) - (-125)/117?
26
What is the lowest common multiple of ((-6)/9)/((-26)/1053) and 108?
108
Suppose -2 = 5*o - 17, -o + 11 = 4*t. Suppose 0*n = 3*n - t*p - 4, p = 5*n - 16. What is the common denominator of -11/4 and (-106)/3*3/n?
4
What is the common denominator of ((-37790)/4650 + 8)/((-4)/10) and -17/10?
930
Let p(d) be the second derivative of d**5/20 - d**4/3 - d**3/2 + d. What is the smallest common multiple of 26*2/4 + 50/(-50) and p(5)?
60
Suppose z - c = 3*z - 4, -3*z + 9 = 3*c. Calculate the common denominator of (2 - 17/27)*z and -43/9.
27
Let s = -7 - -9. Suppose 2*q + s*q = 8. Suppose -3*n - q*n + 56 = -4*u, 2*n - 28 = 3*u. Calculate the least common multiple of n and 8.
8
Calculate the common denominator of (-1843)/(-456) + 2/16 and -29/121.
726
Suppose 0 = 4*g - 7*g - k - 104, -3*g = -2*k + 89. Calculate the common denominator of g + 0/(6 + -2) and -107/10.
10
Calculate the common denominator of (-12)/(-72) - 13/(-15) and 145/42.
210
Let s = 4138/5 + -837. What is the common denominator of 107/10 and s?
10
Let m(g) = -g + 2. Let c be m(-2). Suppose 5*o = c*h + 4, 2*o + 2*o - 4*h = 0. Calculate the least common multiple of o and 38/(-19)*11*-1.
44
Suppose 2*m - 112 = -6*m. What is the lowest common multiple of m and 14?
14
Suppose 7*z - 340 = -60. What is the lowest common multiple of z and 85?
680
Let f = 127 + -87. Suppose -9 = -43*t + f*t. What is the common denominator of 13/19 and t?
19
Let v = 13 + -11. Suppose u - 8 = v*b, 2*u + 5*b + 30 - 10 = 0. Suppose -n = g + n - 16, -5*n + 20 = u. What is the least common multiple of 13 and g?
104
Suppose -7*q + 2*q + 3*z = -156, -5*q - z + 148 = 0. What is the smallest common multiple of 12 and q?
60
Suppose 2*d - x - 165 = 0, 4*x - 13 = -17. Calculate the least common multiple of d and 14.
574
Suppose 6 - 8 = -m. Suppose 0 = -m*z + 2*a + 2*a + 2012, 5*a = 2*z - 2012. Let y = 9034/9 - z. What is the common denominator of y and -26/3?
9
Let n = -2015 - -647. Let j = n - -2809/2. What is the common denominator of j and (-15)/(-10)*26/(-30)?
10
Let y be (-5)/((-20)/(-16)) + 50. Let h = -6 + 16. Calculate the lowest common multiple of (-10)/35 - y/(-14) and h.
30
Let g = 21589 - 2137255/99. Find the common denominator of -53/18 and g.
198
Let b = -22 - -36. Let f = 21 + -7. What is the lowest common multiple of f and b?
14
Suppose 0*b - b - 102 = 0. Let s = -4 - -8. Calculate the common denominator of 7/10 and b/10*2/s.
10
Let u = -7549/6 + 1259. Calculate the common denominator of 139/168 and u.
168
Let d be (-10)/20 + (-289)/(-2). Calculate the common denominator of 95/18 and 270/d*(-3)/(-5).
72
Let y(g) = g**3 - 9*g**2 + 8*g + 2. Let f be y(8). Let i(c) = f*c + 21 - 13 - 22. Calculate the least common multiple of i(9) and 7.
28
Let k be (-16)/(-32) + (-11)/2. What is the smallest common multiple of 5 and (-6)/(3/1)*k/2?
5
Suppose -12*i + 10*i = -56. Suppose i*u + 6 = 31*u. Calculate the lowest common multiple of u and 16.
16
Suppose -33*j + t + 8 = -30*j, -j = -5*t + 16. Suppose 3*u - 131 = -4*l, u - 125 = -5*l + 5*u. What is the least common multiple of j and l?
116
Calculate the common denominator of 111/160 and (1 - -2)/1 + 868/(-112).
160
Let m = -2 + -1. Find the common denominator of -109/10 and (-70 + m)/(-31 + -2 + 3).
30
Let n = -1232317/6032 - -5920/29. What is the common denominator of 113/6 and n?
624
What is the common denominator of -151/60 and 33/((700/15)/14)?
60
Let j(d) = d**3 - 7*d**2 + 3*d - 17. Let m be j(7). Suppose s - 2*s = 4*x - 69, m*s - 24 = -2*x. Calculate the least common multiple of 10 and x.
90
Let f(d) = 9 - 45*d + 9 - 3 + 42*d. Let w be f(6). Let y(j) = 5*j**2 + 3*j - 4. What is the least common multiple of y(w) and 12?
96
Let s = 0 + 22. Calculate the least common multiple of s and (-6 + 1)*(-128)/40.
176
Suppose 2*m + 3*m = 3*p - 64, -4*m - 80 = -4*p. Find the common denominator of p and 5/7.
7
Let m be 54/15 - (-2)/5. Let f = m - 181. What is the smallest common multiple of (-1)/(f/(-90) + -2) and 18?
90
Let k = 2782 - 22201/8. What is the common denominator of -5/24 and k?
24
Suppose 0 = -5*y - 135 + 735. Let w = -1149/10 + y. Find the common denominator of w and 25/6.
30
Suppose -2*k + 3*k = -4*z + 133, 28 = z - 5*k. Calculate the least common multiple of 11 and z.
33
What is the smallest common multiple of 30 and 155/(-465) + 145/3?
240
Let a(w) = 17*w**2 + 12*w + 4. Let i be a(3). Let d = i - 122. Calculate the least common multiple of d and 8.
568
Let b(k) = -k**3 + 5*k**2 - 4*k + 6. What is the lowest common multiple of b(2) and 50/6 + 