n multiple of j and l?
36
Suppose -16*l - 15*l - 7*l + 174990 = 0. Calculate the least common multiple of 35 and l.
32235
Suppose 4*m = -8 + 4. Let j(z) be the third derivative of z**5/4 + z**4/6 + z**3/6 - 7*z**2. What is the lowest common multiple of 7 and j(m)?
84
Let h = 2620 - 691681/264. Let n be 204/22*(-4)/(-9). Let g = h - n. What is the common denominator of g and 53/4?
8
Let v(x) = x**3 - x**2 - 29*x + 4. Let z be v(-5). What is the common denominator of 88/18 - (-5 - z)*-1 and -8/105?
315
Let i = -49 + 130. Let c = i + -72. Suppose 1 = -v + c. Calculate the least common multiple of v and 5.
40
What is the lowest common multiple of 400 and 730/1100*370 + (-6)/11?
19600
Suppose -3*y - 11 - 7 = 0. What is the smallest common multiple of 3 + 21*(144/(-28) - y) and 48?
336
Let a = 16047/5 - 176622/55. What is the common denominator of 19/574 and a?
6314
Let a = 43201/674520 - -11/4380. What is the common denominator of -93/112 and a?
1232
Let u(m) = 6*m**2 - m + 4. Let l be u(3). Let j be 98 - (5 - (2 - 4/(-4))). Calculate the smallest common multiple of (j/60)/(2/l) and 18.
396
Let n = -72 - 43. Find the common denominator of 9/18 - n/15 and 11/9.
18
Let i = 29 + -33. Let v be (31 + 1)/i*1. Let w = v + 10. What is the lowest common multiple of w and 8?
8
Suppose -4*t = -3*i + 8, t = -i - 2*t + 7. Suppose 3*h = 3*j + 93, -119 = 4*j - h - i*h. Find the common denominator of (5 + (-356)/60)/(j/195) and 149/30.
90
Let g = 1647 + -1569. Suppose -8 = -2*t + 4. What is the lowest common multiple of t and g?
78
Let t be ((-3342)/32373)/((-14)/(-15) - 1). Let o = t - 73/109. What is the common denominator of -87/8 and o?
264
Let y = -207640504663/8158212 + -24220/226617. Let z = y + 25452. What is the common denominator of z and 79/14?
756
Let s(r) be the second derivative of r**5/4 - r**4/12 - 2*r. Let w = -1183 + 1184. What is the least common multiple of 28 and s(w)?
28
Suppose -5*t - 10 = -j - 7, -2*j - 2*t - 6 = 0. What is the common denominator of -63/10 and j + 5 - (-12617)/(-3696)?
1680
Let i be ((4*-3)/2)/1. What is the common denominator of 125/i + 1/(-3) and 5 - (9 - 729/198)?
66
Calculate the common denominator of (-16)/36*(-219)/(-32) and (-87)/232 - 531/120.
120
Let f = -3600107039/1476 + 2439097. Calculate the common denominator of f and 91/4.
1476
Let q be ((-2146)/(-9))/(302 - -2). Let d = 1/152 - q. Find the common denominator of d and -125/18.
18
Suppose -18*z + 290 = -34. Calculate the common denominator of -25/81 and (-264)/(-18)*z/(-32).
324
Let i = -120 + 123. Let u = -574 + 580. Calculate the smallest common multiple of i and u.
6
Suppose 4*w - 53 = x, 3*x + 3 = -w - 0. What is the lowest common multiple of w and 5658?
11316
Let a(d) = 23*d - 49. Let i = 39 + -3. Calculate the smallest common multiple of i and a(3).
180
Let n(i) = 2*i**3 + 183*i**2 + 779*i - 331. Suppose 0 = 5*z - 0*z. Calculate the lowest common multiple of n(-87) and 2 - (3 + z) - -5.
68
Suppose -3*h - s = 160 - 32, 176 = -4*h + 4*s. Let z = h + 30. Let j = 37 + z. What is the least common multiple of j and 12?
24
Let w be (-10915)/(-3210) + -2 + (-2)/12. Let a = w - -5421/1070. Calculate the common denominator of a and 3/8.
40
Let s(n) = -n + 5. Let l be s(-2). Suppose i - 2*t + 7 = 25, 0 = 4*i - 2*t - 78. What is the lowest common multiple of i and -2 + (l - 5) + 166?
1660
Let i = 29 - 30. Let p be (i + -1)/((-8)/(-20)). What is the smallest common multiple of p/15 + (-62)/(-6) and 20?
20
Let x be (-5)/30*1494/12. Let w = 19 + x. Find the common denominator of (14/20)/(44/(-8)) and w.
220
Suppose w = 3*w + 4746. Let y = -14381/6 - w. Let g = -842 + 4224/5. Calculate the common denominator of g and y.
30
Let r(z) = -57*z + 72. What is the lowest common multiple of 99 and r(-3)?
2673
Suppose z + 18 = -8*z. Calculate the common denominator of 8 - (-694)/216*z and -11/36.
108
Let j be (-22 - -21)*(70 + -1). Let v = -58 - j. Let i(x) = -x**2 + 14*x - 13. What is the lowest common multiple of i(v) and 16?
80
Let w(t) = -2*t**3 + 18*t**2 - 17*t - 4. Let l be w(8). Let m(o) = -o**2 + 6*o - 3. What is the smallest common multiple of m(5) and (-6)/(-36)*(-6 - l)?
2
Suppose 0 = 3*u - 4*c - 310, 2*u - 5*c - 210 = -3*c. Suppose 0 = 3*i - 2*f - u, -128 = -4*i + 13*f - 15*f. What is the lowest common multiple of i and 22?
374
Let a(r) = r**2 - r + 12. Suppose x = 3*p - 17, 2*p - 16 = -2*x - 2*x. Suppose 0 = -l - p*l + 42. Calculate the least common multiple of 12 and a(l).
84
Let b = 7703/16016 - 125/1456. Find the common denominator of 95/208 and b.
2288
Suppose 20 + 10 = 6*g. Let u(o) = 4*o + 8. Let c(k) = -k**3 - 7*k**2 - 2*k - 9. Calculate the smallest common multiple of u(g) and c(-7).
140
Suppose -2*c - 6 = 0, -j + 38919 = 3*c - 5*c. Let a = 1867921/48 - j. Find the common denominator of a and 25/18.
144
Let a be 3528 + -34 + 5 + -1. Let b = -21043/6 + a. Calculate the common denominator of b and -38/155.
930
Let w = -104 - -106. Suppose r + 35 + 6 = 4*n, 5*n + w*r = 48. Calculate the least common multiple of n and 18.
90
Let r = -23 + 25. Find the common denominator of ((-837)/(-270))/(r/(-3) - -1) and 8/(-6)*453/24.
30
Let b be 74/18 + 6/(-54). Suppose 5*o = 4*r + 4*o - 3613, -b*o = -4*r + 3604. Suppose 14*a + 288 - r = 0. Calculate the lowest common multiple of a and 24.
264
Let p be ((-588)/(-130))/((-117)/(-58370)). Let l = 2257 - p. Find the common denominator of 127/130 and l.
390
Suppose -2*l + 456 = w, 74 = 5*l - w - 1045. Calculate the lowest common multiple of 710 and l.
31950
Let y(n) = 6*n - 11. Let q be y(2). Find the common denominator of (-2053)/(-1494) - q - (-98)/441 and -2.
166
Let d = 153/10 + -2399/180. What is the common denominator of d and -1*((-374)/36 + -1 + -2 + 10)?
36
Suppose 24098*q - 24084*q = 994. What is the smallest common multiple of 35 and q?
2485
Let r be -64 + 60 - (-116)/(-2). Find the common denominator of r/(-240)*-14 - -6 and -21/10.
60
Let m = -25491 + 25499. What is the lowest common multiple of m and 242?
968
What is the least common multiple of 1081/5 + ((-15)/(-75))/(-1) and 480?
4320
Let w(v) = 61*v + 510. What is the least common multiple of w(-8) and 302?
3322
Let c = 9984042 + -10103845975/1012. Let q = 548549/23 - 23854. Let x = c + q. What is the common denominator of x and 34?
44
Let y(s) = 38*s**2 + 4*s + 4. Let d be y(-1). Let z = d - 30. Let v(w) = -w**3 - 5*w**2 + 4*w - 5. Calculate the least common multiple of z and v(-6).
56
Let i = 3 - 3. Suppose i = -l + 1 + 25. Suppose 0 = 3*w - 6, 2*w + 144 - 138 = z. Calculate the smallest common multiple of l and z.
130
Suppose -10 = 3*c + 3*t + t, 0 = 5*c + t - 6. Suppose 3*l + q = 17, -2*l - c*q = q - 9. Calculate the least common multiple of 28 and l.
84
Let b = -189450/5179 - 10114115783/321098. Let w = 31534 + b. Let h = -623/8 + 329/4. What is the common denominator of h and w?
248
Suppose -78 = 30*i - 24*i. What is the common denominator of -99/70 and (7*i/910)/((-2)/(-72))?
70
Let i be (-2)/(-3) + 56/(-3). Calculate the lowest common multiple of (-8)/12 + (-354)/i and 6.
114
Let v(k) = -k**3 + 17*k**2 - 8*k. Let j be v(17). Let f = 146 + j. What is the smallest common multiple of f and 18?
90
Suppose u - 28 = 2*n, -74 = -5*u - 4*n + 24. Calculate the common denominator of (1 + (-46)/36)*u/(-10) and -143/90.
90
Let u(b) = 125*b + 11823. Calculate the least common multiple of u(-91) and 100.
11200
Let n = 11/1347 + 63545/136047. Calculate the common denominator of n and (-702)/(-624) + (0 + 1)*(-1 - 0).
808
Let y = -9001 - -179937/20. Find the common denominator of (2/3)/(1408/(-3888)) and y.
220
Suppose -152 = -5*l + 13*l. Let u = 21 + l. Suppose 0 = 3*q - 9, 5*q - 21 = -u*k - 0*k. Calculate the lowest common multiple of 5 and k.
15
Suppose -l + 168 = 6*l. Let z(x) = x**2 - 26*x + 110. Calculate the lowest common multiple of z(l) and 4.
124
Suppose -4*r + 286 = 38. Let z = r + -44. What is the lowest common multiple of (z/(-24))/(3/(-24)) and 3?
6
What is the common denominator of 25/96 and (22219/4352 - 5)*(-6)/4?
1536
Let f be (-3465)/(-865) - (-9)/(45/(-20)). Let m = 8474/519 + f. What is the common denominator of -81/80 and m?
240
Let n be ((-45)/(-6))/(48/(-1120)). Let t = n - -183. Calculate the least common multiple of 798 and t.
3192
Let w =