1/5*b.
-3*(b - 6)*(b - 1)/5
Suppose 0 = 11*h - h + 7*h. Factor h - 1/4*v**2 + 0*v.
-v**2/4
Let x = -25 + 29. Factor -5*l**4 - 8 + 6 - 4*l**3 + 2*l**5 + 2*l + 4*l**2 + 3*l**x.
2*(l - 1)**3*(l + 1)**2
Suppose -p = 4*p + 4*m, -3*m = 0. Solve 67*l**3 + l**3 - 32*l**2 + 0*l + 14*l**5 - 2*l - 52*l**4 + p + 4 = 0 for l.
-2/7, 1
Let c be -1 + (1 + 2)/1. Factor 0*x**4 + 21*x**3 - 6*x**3 + 9*x**4 - 5 - 15*x - 3*x**c - 1.
3*(x - 1)*(x + 1)**2*(3*x + 2)
Let s(k) be the second derivative of -k**4/60 + k**3/15 - k**2/10 - 7*k. Factor s(y).
-(y - 1)**2/5
Let m(b) be the third derivative of b**8/3360 + b**7/1260 - b**4/12 + 2*b**2. Let x(f) be the second derivative of m(f). Suppose x(n) = 0. Calculate n.
-1, 0
Let b(j) be the first derivative of -169*j**6/12 - 117*j**5/10 + 6*j**4 - 2*j**3/3 + 3. Factor b(r).
-r**2*(r + 1)*(13*r - 2)**2/2
Let i(c) be the second derivative of -c**7/1050 + c**5/150 - c**3/30 + 2*c**2 - 5*c. Let p(m) be the first derivative of i(m). Factor p(a).
-(a - 1)**2*(a + 1)**2/5
Let v(b) = 3*b - 8. Let t be v(7). Factor -t*c**2 + 7*c**2 + 6*c**2 - 3*c**3 + 3*c.
-3*c*(c - 1)*(c + 1)
Suppose -5*x - 38 = -48. Let m = 20/117 + 2/39. Let -2/9 + m*k**x + 0*k = 0. Calculate k.
-1, 1
Factor -5/2*n - 1/2*n**5 + 5/2*n**4 + 1/2 - 5*n**3 + 5*n**2.
-(n - 1)**5/2
Let x = -1/530 + 1857/1060. Find n such that 0 + 0*n + n**2 - 4*n**3 + x*n**4 = 0.
0, 2/7, 2
Suppose -9*i + 7 = -11. Factor 1/3*j**i + 1/3*j - 2/3.
(j - 1)*(j + 2)/3
Suppose -7*n + 2*n - 4*n = 0. Factor -2/9*u**3 + 0 + n*u**2 + 2/9*u.
-2*u*(u - 1)*(u + 1)/9
Let f(h) = 14*h. Let y be f(1). Let p = 18 - y. Factor 2/3*j**p - 8*j + 8/3 - 4*j**3 + 26/3*j**2.
2*(j - 2)**2*(j - 1)**2/3
Let f = 68 + -66. Factor 0*d + 0 + 1/4*d**3 + 1/4*d**f.
d**2*(d + 1)/4
Let j(v) be the second derivative of 14*v**6/135 - 8*v**5/9 + 8*v**4/3 - 64*v**3/27 - 32*v**2/9 - 10*v. Factor j(q).
4*(q - 2)**3*(7*q + 2)/9
Suppose 9*j - 2*j - 14 = 0. Find m, given that 4/5*m**j + 2/5*m**5 - 2/5*m**4 + 2/5*m - 2/5 - 4/5*m**3 = 0.
-1, 1
Let x = -114204/2825 + 1008/25. Let b = x + 1214/791. Solve -22/7*z**2 + b*z + 4/7 + 8/7*z**3 = 0.
-1/4, 1, 2
Let y(d) = -3*d**4 + 12*d**2 - 3. Let v(u) = -9*u**4 + 35*u**2 - 9. Let w(a) = -6*v(a) + 17*y(a). Determine k, given that w(k) = 0.
-1, 1
Let o = -97/15 - -44/5. Factor -20/3*y + 6*y**2 + 8/3 - o*y**3 + 1/3*y**4.
(y - 2)**3*(y - 1)/3
Find o such that 2/9*o**2 + 4/9*o + 2/9 = 0.
-1
Let d(x) be the first derivative of -x**8/84 + 2*x**7/105 - x**2 + 4. Let o(c) be the second derivative of d(c). Factor o(j).
-4*j**4*(j - 1)
Let u be 0 + (0 - -4 - 4). Determine y, given that -1/3*y + u + 0*y**2 + 1/3*y**3 = 0.
-1, 0, 1
Let m(q) = q - 1. Let j(k) = 3*k**2 + 9*k - 3. Let u(w) = -j(w) + 3*m(w). Factor u(g).
-3*g*(g + 2)
Let j(d) be the second derivative of d**6/720 + d**3/6 - d. Let i(k) be the second derivative of j(k). Factor i(o).
o**2/2
Let m(w) be the first derivative of 6*w**5/5 - 9*w**4/4 + w**3 - 22. Let m(p) = 0. What is p?
0, 1/2, 1
Let t(h) = -h**2 - h. Let n be t(-2). Let o = n + 6. Find y such that 5 + 4*y**2 - 1 - 3*y**2 + o*y = 0.
-2
Let s(z) be the first derivative of 20*z**3/9 - 26*z**2/3 - 8*z - 52. Factor s(p).
4*(p - 3)*(5*p + 2)/3
Let 20/3*s - 5/6*s**2 - 40/3 = 0. What is s?
4
Let k(j) be the second derivative of -j**2 + 1/12*j**4 + 3*j + 1/6*j**3 + 0. Determine o, given that k(o) = 0.
-2, 1
Let g(l) be the second derivative of 7*l**4/4 + 5*l**3/2 - 3*l**2 + 4*l. Find d such that g(d) = 0.
-1, 2/7
Let t(v) be the second derivative of 0 - 1/30*v**4 + 0*v**2 + 0*v**3 + 1/105*v**7 - 1/25*v**6 + 3/50*v**5 - 3*v. Find k such that t(k) = 0.
0, 1
Suppose 4*x = 4*f + 4, 3*x + 1 = 2*x + 3*f. Factor 0 - 1/4*a**x + 1/4*a.
-a*(a - 1)/4
Let v(t) = t + 2. Let h be v(-5). Let d be 9/12 + h/4. Factor -2*n**2 + d*n**4 + 2*n**5 + 6*n**2 - 2*n + 2*n**4 - 6*n**4.
2*n*(n - 1)**3*(n + 1)
Let i(a) = a**2 + 7*a - 6. Let s be i(-8). Solve -3*g**2 + 6*g**5 + 3*g**s - 2*g**4 = 0 for g.
0, 1/3
Let 1/2*o**2 - 1/2*o - 1 = 0. Calculate o.
-1, 2
Let h = 18 - 16. Let b(m) be the third derivative of -h*m**2 + 0*m**3 + 0*m - 1/240*m**5 + 1/48*m**4 + 0. Solve b(d) = 0.
0, 2
Solve m**3 - 3/5*m**4 - 2/5*m**2 + 0 + 0*m = 0 for m.
0, 2/3, 1
Let q(c) be the third derivative of 1/30*c**5 + 0*c - 2/3*c**3 - 1/12*c**4 + 0 + 4*c**2. Solve q(t) = 0 for t.
-1, 2
Let p = 23 - 18. Find i such that p*i + 12*i**2 - 3*i - 10*i**2 = 0.
-1, 0
Let u(o) be the third derivative of -1/210*o**5 - 4*o**2 + 0 + 0*o + 0*o**4 + 1/21*o**3. Determine g so that u(g) = 0.
-1, 1
Let h be 14/56 - (0 - 0). Factor 0 + t**4 + h*t - 1/4*t**3 - t**2.
t*(t - 1)*(t + 1)*(4*t - 1)/4
Let b(t) = -20*t**2 + 400*t - 1988. Let z(r) = -8*r**2 + 160*r - 795. Let o(f) = 5*b(f) - 12*z(f). Solve o(u) = 0 for u.
10
Factor -3/7*i**2 + 9/7*i + 0.
-3*i*(i - 3)/7
Let d(a) = 5*a**2 + 5*a. Let m(c) = c**2 + c. Let j(s) = 5*d(s) - 20*m(s). Find t, given that j(t) = 0.
-1, 0
Let k(g) = -g**5 + g**3 - g**2 - g - 1. Let w(n) = 4*n**5 + 2*n**4 - 4*n**3 + 4*n**2 + 6*n + 6. Let d(t) = -6*k(t) - w(t). Factor d(r).
2*r**2*(r - 1)**2*(r + 1)
Let v(p) be the second derivative of -p**7/21 + p**6/5 - p**5/10 - p**4/2 + 2*p**3/3 + 3*p. Suppose v(y) = 0. Calculate y.
-1, 0, 1, 2
Let m(l) be the first derivative of -21*l**5/5 - 33*l**4 - 75*l**3 - 27*l**2 - 7. Factor m(j).
-3*j*(j + 3)**2*(7*j + 2)
Let n(q) be the third derivative of q**4/12 - 7*q**3/6 - 4*q**2. Let c be n(5). Determine g, given that 0 + 0*g + 0*g**2 - 1/2*g**4 + 0*g**c = 0.
0
Suppose 7 = 8*b - 9. Factor 0*r - 1/8 + 1/8*r**b.
(r - 1)*(r + 1)/8
Suppose -2*d - 1 = -a, -3*a - a - 2*d - 16 = 0. Let g be (a - -2) + (-2)/(-2). Suppose 0*h**2 - 1/2*h**3 + 0 - 1/2*h**5 + g*h - h**4 = 0. Calculate h.
-1, 0
Let m(n) be the first derivative of n**6/6 - 2*n**5/5 + n**4/4 - 4. Suppose m(d) = 0. Calculate d.
0, 1
Let m(b) be the third derivative of b**8/2520 - b**7/1260 - b**3/3 - b**2. Let n(t) be the first derivative of m(t). Find p such that n(p) = 0.
0, 1
Let m = -22 + 26. Let a(x) be the third derivative of -1/90*x**5 + 1/180*x**6 + 0 - 1/36*x**m + 0*x + 2*x**2 + 1/315*x**7 + 0*x**3. Factor a(d).
2*d*(d - 1)*(d + 1)**2/3
Let l(w) be the first derivative of w**3/27 - w**2/6 + 2*w/9 - 28. Factor l(o).
(o - 2)*(o - 1)/9
Let j = 16 - 9. Suppose 40*i**2 + j - 6*i**5 - 4*i**4 - 6*i**4 + 14*i**3 + 2*i**2 + 32*i + 1 = 0. Calculate i.
-1, -2/3, 2
Let g(d) be the third derivative of d**6/180 - d**5/90 - 18*d**2. Suppose g(x) = 0. Calculate x.
0, 1
Let y(j) be the third derivative of -j**9/37800 - j**8/11200 + j**6/3600 - j**4/8 - 2*j**2. Let u(k) be the second derivative of y(k). Solve u(f) = 0 for f.
-1, 0, 1/2
Let m be (-6)/(-2)*36/27. Let f(j) be the second derivative of 0*j**m - 1/9*j**3 + 0 + 2*j + 0*j**2 + 1/30*j**5. Factor f(x).
2*x*(x - 1)*(x + 1)/3
Let b(u) be the first derivative of -1/8*u**4 + 1/2*u**3 - 1/2*u**2 + 0*u + 7. Solve b(r) = 0.
0, 1, 2
Suppose -5*u + 2*c = -17 + 9, 3*u + 2*c = 8. Let 0 + 2/5*z - 2/5*z**u + 2/5*z**4 - 2/5*z**3 = 0. What is z?
-1, 0, 1
Let c be (-4)/45*(-25)/10. Factor 2/9*s - 4/9 + c*s**2.
2*(s - 1)*(s + 2)/9
Let g(a) = -3*a**4 - 4*a**3 + 2*a**2 + a - 2. Let s(j) = 6*j**4 + 8*j**3 - 4*j**2 - 3*j + 3. Let n(l) = -5*g(l) - 3*s(l). Factor n(y).
-(y - 1)*(y + 1)**2*(3*y + 1)
Let t = -80 + 82. Let 0 - 10/3*n**t + 4/3*n = 0. Calculate n.
0, 2/5
Let n(s) be the second derivative of -3*s**5/20 + s**4/4 + s**3/2 - 3*s**2/2 + 2*s. Factor n(z).
-3*(z - 1)**2*(z + 1)
Let o(b) = b**3 - 9*b**2 - 6*b + 7. Let j(d) = -d**2 - d + 1. Let v(t) = -35*j(t) + 5*o(t). Solve v(x) = 0.
0, 1
Let c be (-7)/42 - (-109)/6. Suppose f + f - c = 0. Factor f*d**4 - 2*d**2 + 5*d**2 + 7*d**3 - 5*d**2.
d**2*(d + 1)*(9*d - 2)
Let o(h) be the first derivative of -h**3 + 6*h**2 - 12*h - 1. Factor o(i).
-3*(i - 2)**2
Let j be ((-8)/3 + 4)/2. Let d(b) be the first derivative of j*b**2 + 1 + 4/3*b + 1/9*b**3. Factor d(z).
(z + 2)**2/3
Let g(k) be the second derivative of -k**4/4 - k**3/2 - 18*k. Factor g(o).
-3*o*(o + 1)
Let b(m) = -m**3 + 7*m**2 - 11*m. Let k(c) be the third derivative of -c**5/20 + c**4/4 - 4*c**2. Let l(n) = 3*b(n) + 5*k(n). Factor l(u).
-3*u*(u - 1)**2
Let m(p) be the first derivative of -20*p**3/3 - 16*p**2 + 16*p - 3. Solve m(y) = 0 for y.
-2, 2/5
Factor 1/9 + 4/9*r + 2/3*r**2 + 1/9*r**4 + 4/9*r**3.
(r + 1)**4/9