t is the common denominator of 32/t + (-22)/(-64) and -59/14?
672
Let t = 966 + -960. Suppose 3*s - 2*l = 46, s = 2*l + 5 + 5. What is the least common multiple of s and t?
18
Let h(v) = -v**3 + 12*v**2 + 10*v - 36. Let p be h(16). Let i = -16195/18 - p. Let m = -2759/57 - 11/114. What is the common denominator of m and i?
18
Let f(q) = -4*q**2 + 31*q + 3. Let m = 5 - -7. Calculate the lowest common multiple of f(7) and m.
24
Let s(q) = -q**2 - 6*q + 19. Let k be s(-11). What is the common denominator of 55/3 - -1 - -1 and 1 + (-2)/(k/26)?
9
Calculate the common denominator of 213/(-4)*(24/12)/(-12) and 97/256.
256
Suppose 5*k + 30 = y, 4*y = 2*y - 3*k + 47. Let u = 27 + -25. What is the least common multiple of y and ((-1)/u)/(12/(-144))?
150
Let g(m) = m**2 - 12*m + 18. Calculate the least common multiple of g(12) and 264/143 + 4/26.
18
Suppose 6 + 9 = 3*p - 2*u, -3*p = 3*u. Suppose -3*b - 3*c + 162 = 0, -4*b + 273 = -p*c + 43. Find the common denominator of 11/20 and ((-21)/b)/(1/7).
40
Let v = 39 - 25. Let l(g) = -2*g**3 + 149*g**2 + 69*g + 458. Calculate the least common multiple of l(75) and v.
56
Let j be (-1 + 6/4)*6. Suppose 0 = -j*d + 5*a + 73, -a = 2*d + 4*a - 7. Calculate the lowest common multiple of d and (-8 - (-384)/54)/((-2)/27).
48
Suppose -32*b - 85 = -27*b. Calculate the lowest common multiple of 4 + (-30)/5 - b and 33.
165
Let w(h) = -9 - 2*h**2 + 3*h**2 + 10 - 8*h. What is the least common multiple of w(9) and 42?
210
Let v(z) = z**3 - 6*z**2 + 4*z - 9. Let p be v(4). Let g = p - -9. Find the common denominator of 37/g - 2/4 and -95/6.
48
Let c = -223746/1489 + 293293481/1816580. Let w = -350/61 + c. Find the common denominator of 149/18 and w.
180
Suppose 11 = -3*k - 1, 5*p - 171 = -k. Let a = p + 2. Calculate the common denominator of -67/9 and a.
9
Suppose 4*x + 948 = -4*b, -4*x - 753 = -2*b + 171. Calculate the common denominator of -1*(945/(-110) - -4) and 10/(-15) + x/60.
220
What is the common denominator of (0 - -1) + (-39)/(-44) and (260/64)/(-2*6/12*-1)?
176
Let n(x) = 6*x - 5. Let t(b) = -7*b + 6. Let k(l) = -3*n(l) - 2*t(l). Calculate the lowest common multiple of (-1)/(-4) - (-102)/8 and k(-1).
91
Suppose 3 = -4*d + 19. Suppose 3*i + 5*k + 224 = 0, -3*i + 2*i + d*k = 86. What is the common denominator of ((-98)/(-105))/((-8)/i) and -143/12?
60
Let j(w) = -w**3 - 6*w**2 - 3*w - 16. Calculate the lowest common multiple of 36 and j(-7).
108
Let c(y) = -2*y + 38. What is the least common multiple of 12 and c(11)?
48
Let d(n) = -n**2 - 5*n - 2. Let t be d(-4). Calculate the common denominator of t*(1 + 26/(-44)) and (12/(-10))/(((-6318)/720)/13).
99
Let j = -1139/616 - 2/77. What is the common denominator of (2*(-13)/(-16))/((-20)/(-72)) and j?
40
Let l = -303/110 - -27/11. What is the common denominator of l and 37/251?
2510
Let v be 38217/(-770) - (1 - 15/21). Let j = v + 636/11. What is the common denominator of 93/10 and j?
10
Let m be 31/(-2)*382/732. Let t be (112/(-732))/(2/(-48)). Let v = m + t. Find the common denominator of v and -13/22.
132
Let g(j) = 3*j. Let v be g(1). Suppose 5*r - v*r = 0. Suppose -5*h - 5*o + 80 = r, 3*h + 2*o - 56 = 3*o. Calculate the lowest common multiple of h and 4.
36
Let l be 6/(-8) - (-70)/40. Let c(f) = 0 - 1 + 0 - l - 4*f. What is the smallest common multiple of 4 and c(-6)?
44
Let m = -121 - -37. Let p be 3/15 - m/5. Suppose -4*h = -3*n - 5*h + p, n = -h + 3. What is the smallest common multiple of 11 and n?
77
Let u(o) = -o + 1. Let z be u(3). Let r = -30/89 - -1873/1068. Find the common denominator of (z/5)/((-28)/295) and r.
84
Let v = 121631/42 + -20282/7. Find the common denominator of -113/18 and v.
126
What is the lowest common multiple of (-3)/2*(-7 - 169 - 10) and 27?
837
Calculate the common denominator of -77/442 and (-14)/3*((-310)/(-24) - 14).
3978
Let m = 20661 + -847152/41. What is the common denominator of 11/6 and m?
246
Let l = -41 + 45. Suppose 4*a = 2 + 18, -l*b = 2*a - 82. Calculate the lowest common multiple of 16 and b.
144
Suppose 3*k - 2 = -4*v - v, 5*v = 5*k - 30. Suppose u + k*h = 24, 0 = -4*u - 2*h - 0*h + 82. Suppose f - u = -3*f. What is the least common multiple of 6 and f?
30
Let h(i) = 3*i**2 + 15*i + 22. What is the lowest common multiple of h(-7) and 2?
64
Suppose 4*m - 3 - 5 = 0. Suppose -3*b + 21 = 3*a, -2*b = 3*a + a - 22. Suppose 0 = b*n - 9 - 15. Calculate the smallest common multiple of n and m.
8
Let k(c) = -90*c + 106. Calculate the lowest common multiple of k(-1) and 8.
392
Let m(u) = -u**3 + u**2 + u - 1. Let h be m(0). Find the common denominator of h - (2 + 42/(-8)) and 77/4.
4
Let g(l) = l**3 - 9*l**2 + 3*l + 1. Let x(j) = -j**2 - j + 8. Let y be x(0). Let s be g(y). What is the common denominator of (-2)/(-11)*s/2 and 3/2?
22
Let z(m) = -3*m + m**3 + m - 11*m**2 - m - 12. Let h = -1240/7 - -4421/28. Find the common denominator of z(11) and h.
4
Let r(t) = -t**2 - 4*t + 2. Let s be r(-4). Let w be 1 + s + -3*1. Suppose w*m - 2*m + 2 = 0. Calculate the lowest common multiple of m and 11.
11
Find the common denominator of -45/328 and 5225/260 - (-15)/((-195)/(-2)).
328
Find the common denominator of 179/1020 + (-35)/175 and 21/20.
1020
Let l = 309562/85 - 3642. Find the common denominator of -61/15 and l.
255
Let d = -225859843/4017 + 56226. Let o = 119165/24102 - d. Calculate the common denominator of 53/10 and o.
90
Let p = -1031 + 1047. Calculate the least common multiple of p and 52.
208
Let b be (-6)/2 + (0 - -1)*134. Suppose -b = -3*p - 35. What is the lowest common multiple of p and 18?
288
Let m(c) = -c**3 + 4*c**2 - 3. Let p(b) = -b**3 + 16*b**2 - 9*b - 75. What is the least common multiple of m(3) and p(15)?
30
Let k be 8/1 - 1*3. Suppose -3*r + 4 + k = 0. Calculate the common denominator of 38/(-16) + r - 2 and 12/5.
40
Suppose 1137*h - 1141*h = -144. Calculate the smallest common multiple of 72 and h.
72
Let m = -15983929/232 + 68896. What is the common denominator of 3/14 and m?
1624
Let y = 14/113 + 2091/452. Let f(p) = -5*p + 4. Let s be f(2). Calculate the common denominator of y and (10/4)/((-3)/s*-1).
4
Let i(u) be the second derivative of -u**5/20 - 3*u**4/4 - u**3 + 9*u**2 + 9*u. Let d be i(-9). Calculate the common denominator of (2/d)/(12/(-3480)) and -9/8.
72
Suppose 5*s - 5*m - 40 = 0, -3*s - m = 2*s - 16. Suppose -s*o = -5*t + 10, -5*t + 31 = -4*t + 5*o. Calculate the common denominator of t/(-21)*14/(-8) and 50/7.
14
Let r = -5879 - -117623/20. Let t = -18847/3 - -100543/16. Calculate the common denominator of t and r.
240
Find the common denominator of (142/(-40))/((-4)/5) and (-2 - -3)*1001/(-126).
144
Let g be -1*(-2)/1*1. Suppose 7*t - 2*t + 5*s = -360, 5*t + 354 = -g*s. What is the common denominator of 50/7 - (-20)/t and 71/3?
21
Suppose 263*l = 259*l - 4. Find the common denominator of l and 1 + 1*50/(-7).
7
Let y(k) = 2*k**2 - 26*k - 114. What is the lowest common multiple of 12 and y(19)?
228
Calculate the common denominator of -53/50 and (-162)/28*(-1 + 3 - 3).
350
Let j = 365 + -920. Let i be j*-2*(-25)/(-10). Let v = -27719/10 + i. Find the common denominator of -64/9 and v.
90
Suppose q = 4*g - 33 - 120, 0 = -g - 3*q + 22. Let s(o) = -34*o - 3024. What is the smallest common multiple of g and s(-89)?
74
Find the common denominator of 137/312 and -3 - 4/7 - -6.
2184
Suppose 2*b = 4*c + 34, 9*c = 4*c - 4*b - 36. What is the common denominator of 25/14 and 34/(-4)*c/(-32)?
56
Find the common denominator of -35/33 and (-153)/330 + 6*3/18.
330
Let w = -71 + 99. Suppose 0 = -15*o - 5*o + 1120. Let x = o - w. Calculate the least common multiple of x and 2.
28
Suppose -3*w + 6 = -6. Suppose 0*z = -w*z - 5*o + 46, 0 = -4*z + 2*o + 60. What is the smallest common multiple of 30 and z?
210
Let m = 22330 - 781602/35. Let d = 2590 + -7696/3. Find the common denominator of d and m.
105
Let v(l) = -l**3 + l**2 + 7*l + 11. Let h be v(5). Calculate the common denominator of 78/8*((-330)/h - 6) and 133/18.
36
Suppose 39*m - 867 - 1239 = 0. What is the smallest common multiple of m and 2?
54
Suppose -117*x = -48*x - 345. What is the least common multiple of 82 and x?
410
Suppose d = -4, 9*x = 4*x - d + 106. Calculate the least common multiple of x and 56.
616
Let y(w) = -2*w**2 - 27*w + 1. Let v(f) = f