(t) be the third derivative of -t**5/270 - t**4/108 - 2*t**2 + 54*t. Solve b(k) = 0.
-1, 0
Let x(k) be the second derivative of -1/18*k**4 + 0 + 4/3*k**2 + 1/30*k**5 - 4/9*k**3 - 12*k. Factor x(s).
2*(s - 2)*(s - 1)*(s + 2)/3
Let j(i) be the first derivative of -i**4/120 + i**3/12 - 3*i**2/10 + i - 21. Let h(b) be the first derivative of j(b). Solve h(v) = 0.
2, 3
Let c be (-9)/(-5) - (-20)/(-25). Let q be -1 - (0 + c) - -4. Factor -1 + 2*m + 7*m**3 + 3*m**q + 2*m**4 - 12*m**3 - m.
(m - 1)**3*(2*m + 1)
Let t(x) = -x**3 - 34*x**2 - 73*x - 34. Let w(r) = 2*r**2 + 1. Let c(d) = -t(d) + 2*w(d). Factor c(v).
(v + 1)**2*(v + 36)
Let y(p) be the third derivative of -p**7/1155 + 73*p**6/165 - 5329*p**5/55 + 389017*p**4/33 - 28398241*p**3/33 + 353*p**2. Determine z, given that y(z) = 0.
73
Let p(o) = o - 4. Suppose 5*x = 39 + 11. Let q be p(x). Solve -2*d**4 - q*d + 0*d - d**4 + d**2 + 8*d**2 = 0 for d.
-2, 0, 1
Let d be 6/(-12)*(-29 - 1). Suppose 3*r + d = k + 3*k, 0 = -3*r - 3. Suppose k*b**4 - 3/5*b**5 + 6*b**2 - 6*b**3 - 3*b + 3/5 = 0. Calculate b.
1
Suppose -3*d - 4*l = d, -5*l = 0. Let u(z) be the third derivative of -1/280*z**7 + 0*z**5 + d*z - 1/160*z**6 + 6*z**2 + 0*z**4 + 0*z**3 + 0. Factor u(y).
-3*y**3*(y + 1)/4
Let k(o) be the second derivative of 3/14*o**3 - 1/28*o**4 - 7/2*o**2 - 12*o + 0 - 1/140*o**5. Let u(h) be the first derivative of k(h). Factor u(w).
-3*(w - 1)*(w + 3)/7
Let z(l) be the second derivative of 4*l + 0 - 3/8*l**4 + 2*l**2 + 1/20*l**5 + l**3. Let h(v) be the first derivative of z(v). Solve h(x) = 0 for x.
1, 2
Let g(v) = -16*v**2 - 12*v + 4. Let x(p) = -15*p**2 - 12*p + 3. Let h be -2 - -2 - 2/1. Let k = 8 + h. Let y(a) = k*g(a) - 5*x(a). Let y(w) = 0. Calculate w.
-1, 3/7
Let w(j) be the first derivative of 0*j**3 + 0*j**2 + 3/20*j**5 - 4 + 3/16*j**4 + 0*j. Factor w(l).
3*l**3*(l + 1)/4
Suppose -n = -4*n + s + 15, -4*n - s + 13 = 0. Suppose 4*u + 5*q - n = 22, 0 = -2*u - 2*q + 12. Factor -4*o**4 + 3*o**4 - 2*o**u.
-3*o**4
Suppose 2*g + 11*a - 14 = 6*a, -3*a + 14 = 4*g. Let r(d) be the first derivative of -4*d + 4/3*d**3 + 5 + 0*d**g. Find z such that r(z) = 0.
-1, 1
Let p = -66 - -140. Let b = -71 + p. Solve -2/5*d**5 - 2/5*d + 4/5*d**b + 4/5*d**2 - 2/5*d**4 - 2/5 = 0.
-1, 1
Suppose 0 = -9*d + 49*d - 160. Factor 0*a**3 + 1/6*a**2 + 0*a - 1/6*a**d + 0.
-a**2*(a - 1)*(a + 1)/6
Let p = 4182 + -12541/3. Factor -2/3 - 3*r - p*r**3 - 4*r**2.
-(r + 1)**2*(5*r + 2)/3
Factor 8*z**4 - 5*z**5 + 23*z**5 - 4*z**3 - 8*z**2 - 14*z**5.
4*z**2*(z - 1)*(z + 1)*(z + 2)
Let t(v) = -v**3 + 47*v**2 - 321*v + 513. Let c(s) = -46*s**2 + 320*s - 510. Let m(d) = 6*c(d) + 4*t(d). Find n such that m(n) = 0.
-28, 3
Let i(s) = -s**2 + 938*s + 35595. Let p(o) = -o**2 + 470*o + 17799. Let b(j) = 4*i(j) - 7*p(j). Factor b(k).
3*(k + 77)**2
Suppose -2*n - 397 = -5*q, 2*q - 273 + 91 = -5*n. Factor 50*j**2 - 56*j**4 - 5*j**5 + q*j**4 - 46*j**3 - 4*j**3 - 25*j + 5.
-5*(j - 1)**5
Let r(n) be the third derivative of -n**9/40320 - n**8/6720 - n**7/3360 - 5*n**5/6 - 55*n**2. Let j(m) be the third derivative of r(m). Factor j(f).
-3*f*(f + 1)**2/2
Let f be (-12)/3 + 26/(-143)*-22. Let b(n) be the first derivative of 1/9*n**6 + f*n - 5 + 0*n**5 + 0*n**4 + 0*n**3 + 0*n**2. Determine z, given that b(z) = 0.
0
Let r(m) be the third derivative of -m**7/560 + m**6/240 + m**3 - 10*m**2. Let i(h) be the first derivative of r(h). Factor i(u).
-3*u**2*(u - 1)/2
Factor -19/6 + 3*o + 1/6*o**2.
(o - 1)*(o + 19)/6
Let p be ((0/(3 + 1))/(-1))/2. Let t(m) be the second derivative of 1/30*m**4 + p*m**2 + 0 + 0*m**3 + 1/50*m**5 - 3*m. Factor t(h).
2*h**2*(h + 1)/5
Let m(w) be the first derivative of 29*w**3 - 81*w**2/2 - 6*w + 34. Factor m(z).
3*(z - 1)*(29*z + 2)
Let w = -117 - -121. Let s(h) be the second derivative of -1/60*h**5 + 1/12*h**2 + 0*h**w - 1/180*h**6 + 0 + 1/18*h**3 + 5*h. Solve s(b) = 0.
-1, 1
Suppose 20 = 35*n - 25*n. Determine f so that -8/11*f**n - 10/11*f - 2/11*f**3 - 4/11 = 0.
-2, -1
Suppose 252 = a + a. Let x be 44/a - (-2)/9. Determine o, given that 0 + 4*o**3 - 24/7*o**5 - 10/7*o**2 + 10/7*o**4 - x*o = 0.
-1, -1/4, 0, 2/3, 1
Let x(d) be the first derivative of -3/20*d**5 - 1/20*d**6 + 0*d**2 - 3*d - 2 - 1/8*d**4 + 0*d**3. Let p(l) be the first derivative of x(l). Factor p(o).
-3*o**2*(o + 1)**2/2
Let d(p) be the third derivative of -p**8/112 + 4*p**7/35 - 11*p**6/20 + 7*p**5/5 - 17*p**4/8 + 2*p**3 - 150*p**2. Factor d(y).
-3*(y - 4)*(y - 1)**4
Let u(o) = 4*o**2 - 21*o + 11. Let i(r) = 6*r**2 - 32*r + 16. Let a(d) = 5*i(d) - 8*u(d). Factor a(z).
-2*(z - 2)**2
Let a = -2459 + 737701/300. Let s(d) be the third derivative of 8/15*d**3 + a*d**5 + 0*d + 14*d**2 + 0 - 1/15*d**4. Factor s(z).
(z - 4)**2/5
Let t be (-13 + 13)/(-8 - -3). Let l(v) be the third derivative of -7/6*v**4 - 10*v**2 + 0 + 4/3*v**3 + t*v - 4/15*v**5. Solve l(y) = 0 for y.
-2, 1/4
Suppose l + 3*b + 5 = 0, 3*l - 5 = l - b. Suppose 0 = 2*u - 12 + l. Factor -4*t**3 + 6*t**3 + u*t**3 - 5*t**3.
t**3
Suppose 10 = -5*z + 10*z. Suppose -6 = 3*h - 0*h, -8 = -2*g + 4*h. Factor g + 2/7*d**z + 2/7*d.
2*d*(d + 1)/7
Suppose -3*o - 13 = -2*r, -3*o - 10 = -r + 1. Let g(f) be the first derivative of -f**3 + r - 3*f - 3*f**2 - 3 - 2 + 2. Find s such that g(s) = 0.
-1
Let m(u) be the second derivative of 11*u**6/40 + 489*u**5/80 + 663*u**4/16 + 413*u**3/8 - 147*u**2/4 + 22*u - 6. Find x such that m(x) = 0.
-7, -1, 2/11
Let o(r) be the second derivative of -7/20*r**4 + 1/50*r**6 + 27/5*r**2 + 1 + 9/100*r**5 - 4*r - 3/2*r**3. Find a such that o(a) = 0.
-3, 1, 2
Let t(c) = -10*c**2 + 3*c - 3. Let o(z) = -9*z**2 + 3*z - 3. Let j(i) = -6*o(i) + 5*t(i). Let n be j(2). Factor 2 + 9*b**2 + n*b + 9*b**2 - 25*b.
2*(3*b - 1)**2
Let q(o) = o**3 - 12*o**2 - 43*o + 6. Let i(v) = 2*v**3 + v**2 + v + 2. Let t(p) = -15*i(p) - 5*q(p). Suppose t(j) = 0. What is j?
-2, 2/7, 3
Let y(d) be the first derivative of d**6/1260 + d**5/140 + d**4/42 + 4*d**3/3 - 1. Let s(p) be the third derivative of y(p). Factor s(b).
2*(b + 1)*(b + 2)/7
Let 1 + 1119*x**2 + x**5 + 3*x - 3 - 1117*x**2 - 4*x**3 = 0. Calculate x.
-2, -1, 1
Suppose -4*c + y + 25 = -2*y, -3*c = 4*y. Factor 0*m**2 - 44*m**c + 3*m**3 - 3*m + 41*m**4 - m**2 + 4*m**2.
-3*m*(m - 1)**2*(m + 1)
Let s(i) be the first derivative of -9 + 5*i**2 - 5*i + 5*i**4 + 35/3*i**3. Let s(y) = 0. Calculate y.
-1, 1/4
Let a(y) be the second derivative of -y**8/33600 - y**7/12600 + y**6/900 + y**5/150 + 3*y**4/4 - y. Let f(x) be the third derivative of a(x). Factor f(o).
-(o - 2)*(o + 1)*(o + 2)/5
Let c(l) be the third derivative of -l**5/60 + 19*l**4/6 - 722*l**3/3 - 61*l**2. Find i such that c(i) = 0.
38
Let a(t) be the third derivative of -t**5/15 + t**4/6 + 48*t**3 + 225*t**2 + 2*t. Factor a(l).
-4*(l - 9)*(l + 8)
Let q(b) be the third derivative of b**6/300 - 8*b**5/75 + b**4/4 + 204*b**2. Factor q(a).
2*a*(a - 15)*(a - 1)/5
Let d(v) be the third derivative of 11*v**5/60 - 43*v**4/24 + 16*v**3 + 23*v**2. Let r(s) = -6*s**2 + 21*s - 48. Let y(k) = 3*d(k) + 5*r(k). Factor y(f).
3*(f - 4)**2
Suppose 33 = -17*v + 28*v. Factor -67*p**2 + 2*p**4 + 47*p**2 + 60*p**v - 47*p**4.
-5*p**2*(3*p - 2)**2
Let s = 55 + -55. Factor 2*b + s*b**3 + b**4 + 3*b**2 + 2*b**2 + 4*b**3.
b*(b + 1)**2*(b + 2)
Suppose -5*b = 5 + 10. Let z be (-1)/b*-1 - (-28)/60. Solve 6/5 + z*d**2 + 4/5*d = 0 for d.
-3
Let k(b) be the first derivative of 5/3*b**5 + 14/3*b**2 + 5 + 23/3*b**3 + 35/6*b**4 + 4/3*b. Determine o so that k(o) = 0.
-1, -2/5
Solve 2*w**4 - 95*w + 23*w**3 - 48 - 44*w**2 - 9*w + 12*w**4 + 3*w**3 = 0 for w.
-2, -1, -6/7, 2
Let m(y) be the first derivative of -272*y**2 + 2662/5*y**5 - 1694*y**4 + 7 + 1056*y**3 + 32*y. Factor m(i).
2*(i - 2)*(11*i - 2)**3
Let l(m) be the second derivative of 0 - 9*m - 4/25*m**5 - 1/5*m**2 + 7/30*m**3 + 1/30*m**4 + 3/70*m**7 + 0*m**6. Suppose l(h) = 0. Calculate h.
-1, 1/3, 2/3, 1
Let y(m) be the third derivative of -m**7/210 - 11*m**6/480 + 19*m**5/240 + 11*m**4/24 - m**3/2 - 287*m**2. Find o, given that y(o) = 0.
-3, -2, 1/4, 2
Let z(d) be the second derivative of d**5/20 - d**4/4 - 25*d**3/6 - 21*d**2/2 + 4*d + 2. Factor z(g).
(g - 7)*(g + 1)*(g + 3)
Let k(m) = -5*m**4 - 24*m**3 + 59*m**2 + 3*m + 3. Let p(g) = 6*g**4 + 24*g**3 - 60*g**2 - 4*g - 4. Let t(u) = 4*k(u) + 3*p(u