lve -o*s + 0 + 1/4*s**2 = 0 for s.
0, 6
Factor -20*s**2 - 7*s**2 - 12*s**3 + 9*s**2 - 2*s**4.
-2*s**2*(s + 3)**2
Let s(r) be the third derivative of -r**8/1680 - r**7/630 + r**6/90 + 5*r**4/12 + 3*r**2. Let t(i) be the second derivative of s(i). Factor t(f).
-4*f*(f - 1)*(f + 2)
Let z(t) be the third derivative of 20*t**2 - 1/300*t**5 + 1/6*t**4 + 0 - 10/3*t**3 + 0*t. Factor z(u).
-(u - 10)**2/5
Let c(v) be the first derivative of 3*v**4/32 + v**3/8 - 15*v**2/16 + 9*v/8 + 269. Factor c(i).
3*(i - 1)**2*(i + 3)/8
Let x(c) be the first derivative of -c**7/2100 + c**6/900 + c**5/300 - c**4/60 - 8*c**3 - 1. Let d(g) be the third derivative of x(g). Factor d(o).
-2*(o - 1)**2*(o + 1)/5
Let i be (-70)/28 - 5/(-2). Let s(b) be the third derivative of 0*b + 1/9*b**3 - 1/90*b**5 - 1/36*b**4 + 11*b**2 + i + 1/180*b**6. Factor s(l).
2*(l - 1)**2*(l + 1)/3
Let i(t) be the first derivative of -11 - 8*t**3 + 4*t**4 - 4/5*t**5 - 4*t + 8*t**2. Factor i(a).
-4*(a - 1)**4
Let n = 17218/5 + -3516. Let a = -72 - n. Factor a*h**3 + 2/5*h + 0 - 4/5*h**2.
2*h*(h - 1)**2/5
Let l(r) be the first derivative of r**6/75 - r**4/10 + 2*r**3/15 - 11*r - 7. Let h(s) be the first derivative of l(s). Let h(f) = 0. Calculate f.
-2, 0, 1
Let p(i) be the second derivative of i**5/70 - i**4/6 + 5*i**3/7 - 9*i**2/7 + 3*i - 5. Suppose p(w) = 0. Calculate w.
1, 3
Let n be (-818)/(-132) + 1/6. Suppose 12 = -j + 5*j. Determine h, given that 60/11*h**j - n*h**2 + 30/11*h - 16/11*h**4 - 4/11 = 0.
1/4, 1/2, 1, 2
Let k = 28 + -24. Let o be 3/k + (-1)/(-3 + 5). What is l in -3/2*l - 9/4 - o*l**2 = 0?
-3
Suppose -2*r = -b, -5*r - 1 = -2*b + 3. Let o be 4/b*(4 - 4). Let o*h**4 + 0*h**2 + 0 - 1/6*h - 1/6*h**5 + 1/3*h**3 = 0. Calculate h.
-1, 0, 1
Let q(p) be the third derivative of -p**5/80 + 43*p**4/8 - 1849*p**3/2 - 5*p**2 - 17*p. Suppose q(j) = 0. Calculate j.
86
Let d = -299 + 288. Let p be (-112)/(-18) - (-66)/d. Determine v so that -16/9*v - 32/9 - p*v**2 = 0.
-4
Let k(o) be the third derivative of -o**9/37800 + o**7/6300 + o**4/8 + 11*o**2. Let h(s) be the second derivative of k(s). Let h(b) = 0. Calculate b.
-1, 0, 1
Let f(l) be the first derivative of -l**4/24 + 5*l**3/6 - 19*l**2/6 + 4*l + 14. Factor f(t).
-(t - 12)*(t - 2)*(t - 1)/6
Let v(n) = -n**3 - n**2 + 1. Let u(r) = 3*r**3 + 9*r**2 + 15*r + 3. Let s(z) = 3*z - 12. Let j be s(6). Let k(b) = j*v(b) + u(b). Suppose k(c) = 0. What is c?
-1, 3
Factor 18/5*m - 3/5 + 21/5*m**2.
3*(m + 1)*(7*m - 1)/5
Let v be 11/((28/(-8))/(-7)). Suppose u = 8 + v. Find c such that 96*c**4 + 36*c**2 - 8*c + 2*c - u*c**3 - 3 + 150*c**3 = 0.
-1/2, 1/4
Factor 114/7*t - 4*t**2 + 2/7*t**3 - 144/7.
2*(t - 8)*(t - 3)**2/7
Let r(q) be the third derivative of -73*q**7/735 - 221*q**6/420 - 15*q**5/14 - 79*q**4/84 - 2*q**3/21 + 374*q**2 + 2*q. Factor r(m).
-2*(m + 1)**3*(73*m + 2)/7
Let u = -276 - -282. Let l(v) be the third derivative of 0*v**3 + 0*v + 0 + 0*v**4 + 0*v**5 - v**2 + 1/660*v**u. Factor l(h).
2*h**3/11
Let g(x) be the first derivative of -9 + 1/5*x**3 + 0*x + 9/10*x**2. Let g(s) = 0. Calculate s.
-3, 0
Let s(l) be the first derivative of -5*l**4/4 - 40*l**3/3 - 50*l**2 - 80*l + 303. Find b, given that s(b) = 0.
-4, -2
Let t = -100 - -93. Let f be (-17)/t + ((-5)/(-5) - 3). Find u, given that 0*u + f - 3/7*u**2 = 0.
-1, 1
Solve -169*a - 341 - 3*a**2 - 254 - 75 + 130 + 61*a = 0.
-30, -6
Suppose -4*j + 2*c + 3*c - 23 = 0, 0 = -4*j - 4*c + 40. Let -8/15*s + 8/15*s**2 + 0 - 2/15*s**j = 0. What is s?
0, 2
Let m(n) = -n**3 - 18*n**2 - 10*n - 180. Let r be m(-18). Factor -2/7*w**2 + 0*w + 2/7*w**4 + r*w**3 + 0.
2*w**2*(w - 1)*(w + 1)/7
Let t(z) be the second derivative of -z**8/8960 + z**7/3360 + z**6/960 - z**5/160 + 19*z**4/12 - z. Let x(g) be the third derivative of t(g). Factor x(m).
-3*(m - 1)**2*(m + 1)/4
Let s(p) be the third derivative of -7/360*p**5 + 1/720*p**6 + 0 + 1/18*p**4 - 9*p**2 + 0*p + 4/9*p**3. Factor s(z).
(z - 4)**2*(z + 1)/6
Let j(q) be the first derivative of -q**4/8 + 61*q**3/3 - 960*q**2 + 3600*q + 620. Factor j(h).
-(h - 60)**2*(h - 2)/2
Let z(t) be the third derivative of t**7/350 + 7*t**6/200 - 9*t**5/100 - 7*t**4/40 + 4*t**3/5 + 901*t**2. Solve z(l) = 0 for l.
-8, -1, 1
Let a(n) be the first derivative of -n**5/5 + n**3/3 + 41. Let l(i) = 2*i**4 + 16*i**3 - 10*i**2 - 24*i. Let m(f) = -6*a(f) - l(f). Factor m(k).
4*k*(k - 3)*(k - 2)*(k + 1)
Factor 2/11*l**2 + 2/11*l + 0.
2*l*(l + 1)/11
Let v = -32 - -44. Factor 0*p**3 + 2*p**3 - 10*p**3 + 9*p**5 - 13*p**5 + v*p**4.
-4*p**3*(p - 2)*(p - 1)
Let a(v) be the third derivative of -v**7/1680 + v**6/480 - v**5/480 - 83*v**2. Let a(t) = 0. Calculate t.
0, 1
Let c(n) be the first derivative of n**6/12 + 7*n**5/10 + 15*n**4/8 + 13*n**3/6 + n**2 + 36. Let c(j) = 0. Calculate j.
-4, -1, 0
Let u be (-274)/(-110) - 777/555. Solve -10/11*c - 20/11*c**4 + 38/11*c**3 - u*c**2 + 4/11 = 0.
-1/2, 2/5, 1
Let v(g) be the third derivative of -2*g**7/525 + g**6/50 - 2*g**5/75 + 52*g**2. What is f in v(f) = 0?
0, 1, 2
Suppose -6*r + 11*r = 0. Suppose -o + 3*o - 12 = r. Suppose 5*z**3 - 14*z**3 + 12*z**3 + 3*z - o*z**2 = 0. What is z?
0, 1
Let g(s) = -s - 2. Let w(o) = 5*o**2 - 160*o - 510. Let d(p) = 15*g(p) - w(p). What is x in d(x) = 0?
-3, 32
Let p = -64 - -75. Suppose -5*i - 20 = 2*r, 4*i + 5 = -3*r - p. Factor -1/5*m**5 + 1/5*m**3 + 0*m + 0 + r*m**2 + 0*m**4.
-m**3*(m - 1)*(m + 1)/5
Let p(y) be the second derivative of -y**5/40 - 3*y**4/8 - 5*y**3/4 + 25*y**2/4 - 77*y. Determine x so that p(x) = 0.
-5, 1
Let h(m) be the third derivative of m**6/160 + m**5/40 - 5*m**4/32 - 3*m**3/4 - 4*m**2 - 6. Solve h(x) = 0.
-3, -1, 2
Let o(c) be the third derivative of -c**7/35 + 19*c**6/40 - 5*c**5/4 + c**4 - 29*c**2 - 16*c. Solve o(s) = 0.
0, 1/2, 1, 8
Let m = -8202 + 16413/2. Factor 0 + m*b**3 + 5/4*b**5 + 4*b**4 + 1/4*b + 2*b**2.
b*(b + 1)**3*(5*b + 1)/4
Factor 28 - 102/7*j + 2/7*j**2.
2*(j - 49)*(j - 2)/7
Factor 0 + 2/3*c**4 - 8/3*c + 2/3*c**5 - 6*c**3 + 22/3*c**2.
2*c*(c - 1)**3*(c + 4)/3
Let v(t) be the second derivative of 1/12*t**4 - 1/20*t**5 - 4/21*t**7 + 0*t**2 + 16*t + 0*t**3 + 0 - 1/3*t**6. Solve v(l) = 0.
-1, -1/2, 0, 1/4
Let u(j) = -11*j**4 + 83*j**3 + 283*j**2 + 29*j - 384. Let d(x) = 16*x**4 - 124*x**3 - 425*x**2 - 43*x + 576. Let i(s) = -5*d(s) - 7*u(s). Factor i(w).
-3*(w - 16)*(w - 1)*(w + 2)**2
Solve 4*n**4 + 53/3*n**3 + 32/3 + 32*n + 1/3*n**5 + 106/3*n**2 = 0 for n.
-4, -2, -1
Let r(l) be the third derivative of 0*l + 1/12*l**5 + 0 + 0*l**4 - 1/42*l**7 + 1/24*l**6 + 0*l**3 - 5/336*l**8 + 3*l**2. Factor r(b).
-5*b**2*(b - 1)*(b + 1)**2
Let b = 1413/10 - 704/5. Solve -5/2*v**2 - b*v**3 - 7/2*v - 3/2 = 0 for v.
-3, -1
Find g such that -5/6*g**3 + 115/3 + 5/6*g - 115/3*g**2 = 0.
-46, -1, 1
Let c(x) be the first derivative of -x**4/32 + 2*x**3/3 - 45*x**2/16 - 81*x/4 + 284. Factor c(h).
-(h - 9)**2*(h + 2)/8
Let v(s) = 7*s**2 + 11*s + 7. Let p(y) = 8*y**2 + 10*y**2 + 11*y**2 + y + 1 - 28*y**2. Let l(x) = 3*p(x) - v(x). Factor l(c).
-4*(c + 1)**2
Let x(b) = -b**3 - 21*b**2 - 21*b - 17. Let i be x(-20). Find c such that 13*c**2 + c**3 - 24*c + 2*c**2 + 12 - 4*c**i = 0.
1, 2
Suppose -44*f + 204 = 110*f - 104. Suppose 0*y**f - 3/5*y + 0 + 3/5*y**3 = 0. Calculate y.
-1, 0, 1
Let h = 279/1678 + 1/2517. Let p(z) be the third derivative of 2/3*z**3 - 1/210*z**7 + h*z**4 + 0 - 1/30*z**6 - 1/20*z**5 + 7*z**2 + 0*z. Factor p(n).
-(n - 1)*(n + 1)*(n + 2)**2
Suppose 0 = -c + 5, -6*n + 5*n = c - 2. Let s be (n/5)/((-1)/5). Factor 0 - 2/13*x**2 - 8/13*x**s + 0*x.
-2*x**2*(4*x + 1)/13
Let f(t) be the first derivative of -1/35*t**6 + 1/35*t**5 + 0*t**3 + t + 1/42*t**4 + 0*t**2 + 3. Let p(b) be the first derivative of f(b). Factor p(j).
-2*j**2*(j - 1)*(3*j + 1)/7
Factor 20/7*r + 38/7*r**2 - 4/7*r**3 + 0.
-2*r*(r - 10)*(2*r + 1)/7
What is b in 0 - 20/9*b**3 + 0*b + 16/9*b**4 + 8/9*b**2 - 4/9*b**5 = 0?
0, 1, 2
Solve -64/11 + 136/11*a - 96/11*a**2 + 26/11*a**3 - 2/11*a**4 = 0 for a.
1, 2, 8
Find t, given that -20/7*t + 4/7*t**5 - 46/7*t**4 - 22/7 + 16/7*t**3 + 68/7*t**2 = 0.
-1, -1/2, 1, 11
Find p such that 5 + 3*p - 29/4*p**2 + 1/4*p**5 - 13/4*p**3 + 9/4*p**4 = 0.
-10, -1, 1, 2
Let y(s) be the first derivative of s**7/1050 - s**6/120 + 2*s**5/75 - s**4/30 + 4*s**2 - 11. Let m(f) be the second derivative of y(