+ 30. Calculate the lowest common multiple of p and 4.
36
Let f(u) = u**3 - 6*u**2 + 10*u - 5. Let z = 314 - 309. Calculate the smallest common multiple of f(z) and 26 - (-2 + (-1 - -1)).
140
Let n(w) = -w + 19. Let d(g) = 2*g**2 + 11*g + 22. Let x be d(-4). Let l(v) = -v**2 - 17*v - 21. What is the smallest common multiple of l(-14) and n(x)?
63
Suppose 5324*o = 5282*o + 462. Let t(u) = 46*u + 31. Let g(n) = 9*n + 6. Let h(b) = 11*g(b) - 2*t(b). What is the lowest common multiple of o and h(6)?
506
Let t be ((-45)/(-10))/9*-76. Let z be (-728)/39 - 4/(-6). Let r = z - t. Calculate the lowest common multiple of r and 18.
180
Suppose -4*i = 0, -585 = -0*n - 5*n + 2*i. Suppose -137 = -3*v - 0*v + l, n = 3*v + 3*l. Calculate the smallest common multiple of 44 and v.
44
Let v = 6310 + -113531/18. Calculate the common denominator of v and 858/(-328)*1/(-9).
1476
Let j = 192289771/720 + -267069. What is the common denominator of -38/27 and j?
2160
Let k be (-21)/35 - 398/(-430). Let w = -789/86 - k. Calculate the common denominator of 4/(48/(-189))*2/(-24) and w.
16
Let a(q) = 269*q - 5914. What is the least common multiple of 6 and a(30)?
6468
Suppose 0*q + 9 = 3*q. Suppose -2*m + 2*k + 36 = m, q = k. Calculate the common denominator of (m/(-12) + 1)/(48/896) and -73/9.
9
Let c(x) = -4*x - 13. Let r = -6 + -1. What is the smallest common multiple of -5*(-1)/(-1)*351/(-65) and c(r)?
135
Let d = -33 + 43. Suppose -5*s - 6 = -3*m + 29, -s = 4. Suppose 2*p + 0*p = m*c + 9, 2*c = -2*p + 2. What is the least common multiple of p and d?
10
Calculate the common denominator of -95/16 and (-975)/20*((-9)/(-48))/((-30)/4).
32
Suppose -4 - 1 = c. Let h be c/(-15)*(7 + 2). Suppose -5*t + 4 = -h*t. Calculate the least common multiple of 32 and t.
32
Let q = 253 - 246. Let t(c) = c**3 - 6*c**2 - 22. What is the least common multiple of 4 and t(q)?
108
Suppose -4*r + p = -17, 50*r + 38 = 54*r + 2*p. Calculate the smallest common multiple of 2574 and r.
2574
Let g be 81/(-15) - (-18)/(-30). Let i = 5 - 0. Calculate the smallest common multiple of 2 + ((-7)/2 - -3)*g and i.
5
What is the common denominator of 1/(-2) + 14/20 + (-84592)/718410 and -51/55?
1155
Let b = 18 + -10. Suppose -3*o + b = 4*r, 3*o = 5*r + 2*o - 29. Suppose -75 = -3*u - 3*n, -8*n = 208 - 168. What is the smallest common multiple of u and r?
30
Let p(k) = 8*k**2 + 69*k + 287. What is the lowest common multiple of p(-15) and 1052?
1052
Let j = -448 - -385. What is the least common multiple of (324/j)/((-21)/98) and 40?
120
Let z be (-4543)/154*210/(1 - 0). Calculate the common denominator of 151/36 and (-34)/8*(5 - z/(-1215)).
324
Let y = -513/10 + 45. Calculate the common denominator of y and 3876/765 - (-3)/18*2.
10
Calculate the common denominator of ((-504)/(-260) - 3)/(30/(-75)) and 17/16.
208
Let k = 2363/2715 - 2/543. Find the common denominator of k and 36/3005.
9015
Suppose 131 = -4*a + 179. Calculate the least common multiple of 24 and ((-2)/5 - (-290)/100)*a.
120
Let y = -1601/473 + 40/43. Let v = y - -481/66. Calculate the common denominator of -49/260 and v.
780
Suppose -3*u + 18 = 0, 4*v - 3*u + 193 - 303 = 0. What is the lowest common multiple of v and 212?
1696
Find the common denominator of (-471)/(-471) - (-138)/(-260) and -18/455.
910
Let w(l) = 20*l + 80. Let s be w(-4). Suppose 4*r + 116 = 5*v, -4*v + 4*r + 92 = -s*r. What is the least common multiple of 4 and v?
24
Suppose 0 = n - 5*n + 4*m, -n - 5*m = -24. Suppose 0 = -4737*o + 4988*o - 1255. Calculate the lowest common multiple of n and o.
20
Let b = 2211747 - 597172349/270. Let t = 142/27 - b. Find the common denominator of -24/5 and t.
10
Find the common denominator of -21 + 5 + (-1065980)/(-66480) and 41/40.
33240
Let i be (-373)/4 - 1/(-4). Let w = 23287/78 + -4074/13. Find the common denominator of w and 2/(3/i*10).
30
Let u be -98 - ((-21)/35 - (-26)/10). What is the common denominator of 3850/u*9/(-7) and 39/8?
8
Let m(b) = b**3 - 4*b**2 - 50*b**2 + b + 87*b**2 - b + b + 38. Suppose 0 = -4*l + 63 + 61. What is the least common multiple of l and m(-33)?
155
Let q = -136 - -139. Suppose o + q*o = 4. Calculate the least common multiple of 128 and o.
128
Let t = 3507273/152 - 23074. Calculate the common denominator of t and -99/190.
760
Let c(b) = 3*b**3 - 8*b**2 + 3*b + 6. Let t(h) = h**3 + h**2 + h - 1. Let a(l) = c(l) - 2*t(l). Calculate the lowest common multiple of a(10) and 204.
612
Let u be 9 + (0 - (-16)/(-4)). Suppose 0 = -5*w + 5, -3*w + 110 = u*g + 2*w. Suppose -g*f - 176 = -25*f. Calculate the lowest common multiple of f and 12.
132
Let r be (-1 + (-1 - -1))*304/(-19). Suppose -r*f + 27 = -21. What is the least common multiple of 4 and f?
12
Let s(y) be the third derivative of y**5/60 + 19*y**4/24 - 107*y**3/2 - 40*y**2. Calculate the least common multiple of s(11) and 18.
18
Let l(h) = -h + 41. Let x be l(17). What is the common denominator of 2/24*-25*5 and (3 + x/(-9))*(-435)/(-6)?
12
Let s be 3 + -1 - (1 - (2 - -3)). Suppose 15878 = -s*b - 153694. Let x = -932563/33 - b. Calculate the common denominator of x and 59/12.
132
Let q(t) = -t**2 - 5*t + 3. What is the lowest common multiple of 169 + (-21)/6*(-1232)/539 and q(-5)?
177
Suppose 345*v - 343*v = -4*u + 464, -4*u = -v - 452. What is the lowest common multiple of 96 and u?
1824
Let i(q) = q**2 - q + 6. Let k be i(-6). Calculate the common denominator of (-60)/(-48) - 318/k and 4/(-14) + (-1581)/(-1050).
200
Let y = -81 - -102. Let s = 17 - y. Find the common denominator of -1*(2 + -1) + s/(-14) and -87/4.
28
Suppose 2*n - 18 + 0 = 0. Calculate the least common multiple of ((-15)/10)/(n/(-240)*2) and 40.
40
Let u(t) = -919*t + 3077. Calculate the smallest common multiple of u(3) and 360.
2880
Suppose -10*z + 8*z + l = -20, -3*z + 52 = 4*l. Suppose -f - z = -5*g, -3*f + 9 = -2*g + 2*f. What is the lowest common multiple of 12 and g?
12
Let w(i) = -i - 20. Let p be w(-20). Suppose 2*h + 3*h + 2*a - 52 = p, 0 = -2*h + 2*a + 18. What is the lowest common multiple of h and (-3)/(-12) + (-71)/(-4)?
90
Let s(c) = -3*c**2 - 13*c + 6. Let p be s(-5). What is the least common multiple of (-210)/(-28) + (-6)/p and 18?
18
Let z be ((-1)/(-4) - 45/(-12)) + -13. Calculate the common denominator of z/6 + (-1545)/(-225) and -77/24.
120
Let b(p) be the first derivative of -p**3/3 + 17*p**2/2 - 38*p - 78. What is the smallest common multiple of b(13) and 2?
14
Calculate the common denominator of -8 - (1 - 0 - (-14 - 317486/(-13767))) and 59/1765.
5295
Let j(z) = 2585*z - 19 - 28 - 82 - 2589*z. Find the common denominator of j(-27) and -7/10.
10
Calculate the least common multiple of (38*(-64)/(-1520))/((-1)/(-150)) and 10.
240
Let b = -116/625 + -15179/3750. Let p = -2843/14 - -7517/35. Find the common denominator of b and p.
30
Suppose 5*a + 10 = 0, t + 2*a = -2*t + 200. Let h = t + -60. Suppose 0*k = -h*k + 40. Calculate the smallest common multiple of k and 10.
10
Find the common denominator of 49/85 and 194/(-2037)*(-56)/(2 - 1).
255
Suppose -3*d + 228 = 5*w - w, -2*w = -3*d + 246. What is the common denominator of -75/8 and (-42)/81*(-14)/d?
1080
Let c = 152450/9 - 84623/5. Let t = c - 79/18. Calculate the common denominator of t and 85/12.
60
Let c(t) = -t**3 + 18*t**2 + 21*t - 28. Let i(a) = a**3 - 3*a**2 - 7*a + 4. Let b be i(5). What is the smallest common multiple of 76 and c(b)?
380
Let u = 1003291 + -2131993321/2125. What is the common denominator of -109/10 and u?
4250
Let o(c) = -c**3 - 9*c**2 - 13*c - 11. Suppose -10*t = -14*t - 28. Let v = t + -1. What is the lowest common multiple of o(v) and 1?
29
Suppose -u = -2*k + 22, -4*k = -2*k + 3*u - 38. Calculate the common denominator of 163/30 and -12 + k + 97/(-280)*2.
420
Let k(i) = 5*i + 5. Let x be k(-3). Let u be 3/(-15) + (-472)/x. Let r = u - 45. What is the smallest common multiple of 112 and r?
112
Suppose -4*f + 59 = -77. Calculate the least common multiple of (-23)/((-552)/256)*1/(-4)*-3 and f.
136
Let n = 4545703668533821963/4010178 + -1133541620480. Let m = n - 2/23047. Calculate the common denominator of 83/10 and m.
870
Let h = 1998 + -1648. Calculate the lowest common multiple of 210 and h.
1050
Let b be (-2)/(-4)*6 - 4 - -3. Suppose -4*q = b*q - 180. Find the common denominator of 13/14