+ 4*b(k). Factor i(r).
2*r**4
Let b(i) be the first derivative of i**6/3 + 6*i**5/5 + i**4 - 4*i**3/3 - 3*i**2 - 2*i - 8. Factor b(z).
2*(z - 1)*(z + 1)**4
Let m(l) be the third derivative of 1/21*l**3 - 1/210*l**5 + 3*l**2 + 0*l + 0*l**4 + 0. Let m(o) = 0. Calculate o.
-1, 1
Let d be ((-8)/(-8) - 2)*-5. Let 0 + 40/3*q**4 + 14*q**d + 0*q**2 + 8/3*q**3 + 0*q = 0. Calculate q.
-2/3, -2/7, 0
Let -14/3*k + 4/3 - 10/3*k**2 + 8/3*k**3 = 0. What is k?
-1, 1/4, 2
Let v be 63/(-28)*(-4)/3. Let f(c) be the second derivative of 0*c**2 + 0 + 2*c - 1/24*c**v + 1/48*c**4. Factor f(j).
j*(j - 1)/4
Let u(v) = -7*v + 20. Let l(o) = -13*o + 40. Let c(k) = 6*l(k) - 11*u(k). Let b be c(16). Factor 2/11*f**b + 2/11*f - 2/11*f**3 - 2/11*f**2 + 0.
2*f*(f - 1)**2*(f + 1)/11
Let j(n) be the third derivative of n**5/330 + n**4/44 + 12*n**2. Factor j(h).
2*h*(h + 3)/11
Let r be 2/8 - 22/(-8). Let w be ((-3)/2)/((-7)/14). Determine z so that -5 - w*z**3 + 1 + r*z + 2*z**3 + 2 = 0.
-2, 1
Suppose 0 = -4*x + 4 + 8. Let f(b) be the first derivative of 1/20*b**5 - 2 + 0*b**2 + 0*b**x - 1/16*b**4 + 0*b. Suppose f(r) = 0. What is r?
0, 1
Let n(t) be the first derivative of -2*t**3/21 + t**2/7 - 26. Factor n(g).
-2*g*(g - 1)/7
Let v(f) be the second derivative of -f**4/3 + 20*f**3/3 - 42*f. Factor v(w).
-4*w*(w - 10)
Factor 7*c**2 - 12*c**2 + 12 + 18 - 25*c.
-5*(c - 1)*(c + 6)
Determine u, given that 85*u**4 + 5*u**3 - 2*u**2 - 23*u**3 + 2*u - 107*u**4 - 13*u**5 + 5*u**5 = 0.
-1, 0, 1/4
Let h(d) be the second derivative of -d**5/120 + d**4/72 + d**3/36 - d**2/12 + 10*d. Let h(q) = 0. What is q?
-1, 1
Let 10/7*w**2 - 4/7*w + 0 + 2/7*w**5 - 2/7*w**4 - 6/7*w**3 = 0. What is w?
-2, 0, 1
Let b(t) = 25*t**3 - 817*t**2 + 5207*t + 1359. Let g(a) = 13*a**3 - 409*a**2 + 2603*a + 679. Let q(o) = 3*b(o) - 7*g(o). Determine i, given that q(i) = 0.
-1/4, 13
Let m(g) be the third derivative of -g**9/15120 + g**8/2240 - g**7/840 + g**6/720 + g**4/6 - 3*g**2. Let r(f) be the second derivative of m(f). Factor r(p).
-p*(p - 1)**3
Let a(i) be the second derivative of 1/120*i**6 + 1/12*i**4 + 0*i**3 + 0 - 2*i**2 + 4*i + 1/20*i**5. Let n(z) be the first derivative of a(z). Factor n(t).
t*(t + 1)*(t + 2)
Let p = 194/3 + -64. Determine s so that 0*s**2 - p*s**3 + 2*s + 4/3 = 0.
-1, 2
Factor 0*c**2 + 0*c + 4/5*c**3 + 0.
4*c**3/5
Let k = 2579/3 - 859. Factor -1/3*s**3 + k + 4/3*s**2 - 5/3*s.
-(s - 2)*(s - 1)**2/3
Suppose 1 = -4*r + 9. Suppose r*c - 3*c = -2. Suppose -6*f**2 - 1 - 6*f + 3 - c*f**2 = 0. Calculate f.
-1, 1/4
Let a be 4/(-8)*-4 - 4 - -4. Let s be ((-1)/2)/((-18)/8). Find j, given that -s*j + 0 - 2/9*j**a = 0.
-1, 0
Factor 1 - 1/4*h**3 - 1/4*h**2 + h.
-(h - 2)*(h + 1)*(h + 2)/4
Let i(t) be the second derivative of -t - 1/150*t**6 + 1/15*t**3 + 0 - 1/12*t**4 + 0*t**2 + 1/25*t**5. What is f in i(f) = 0?
0, 1, 2
Suppose 0 = 2*z - 4*c, 4*c + 3 = z + 7. Let g(x) be the first derivative of x**3 + 4*x + 3*x**2 + 1/8*x**z + 1. Solve g(f) = 0 for f.
-2
Let g(p) = -11*p**3 - 23*p**2 - 18*p - 11. Let n(o) = -16*o**3 - 34*o**2 - 27*o - 16. Let a(y) = -7*g(y) + 5*n(y). Factor a(z).
-3*(z + 1)**3
Let p(i) be the second derivative of 0*i**3 + 1/180*i**5 + 1/360*i**6 + 0*i**4 - i + 0 + 3/2*i**2. Let b(v) be the first derivative of p(v). Factor b(j).
j**2*(j + 1)/3
Suppose 3*z - 5*z + 6*z + 9 + 8*z + 3*z**2 = 0. Calculate z.
-3, -1
Let y = -97/6 - -50/3. Factor 1/2*p**2 - 1/2*p**3 - 1/2 + y*p.
-(p - 1)**2*(p + 1)/2
Solve -120*b**4 + 10*b - 44*b**3 + 100*b**5 + 48*b**2 + 5*b - 6*b + 7*b = 0 for b.
-2/5, 0, 1
Let i = -1979 + 6005/3. Let p = i + -64/3. Solve p*k**4 - k**2 + 0 - 1/3*k + 0*k**3 = 0.
-1/2, 0, 1
Suppose 4*h - 33 = 55. Suppose -y**3 + 7*y**4 - y**2 + 10*y**3 - h*y**4 + 7*y**2 = 0. Calculate y.
-2/5, 0, 1
Let p(k) be the first derivative of -k**5/5 + k**4/4 + 2*k**3/3 - 22. Let p(z) = 0. What is z?
-1, 0, 2
Suppose 0 = 5*x + 5 - 25. Let k be 3 - 0*(-2)/(-6). Suppose i**5 + 2*i**x + 0*i**5 + i**2 - i**3 - k*i**4 = 0. Calculate i.
-1, 0, 1
Let q(v) be the first derivative of v**7/3360 + v**6/360 + v**5/160 + 7*v**3/3 + 3. Let a(j) be the third derivative of q(j). Factor a(r).
r*(r + 1)*(r + 3)/4
Suppose t + 8 = 5*t. Suppose 3*n + v = 2*n + 1, 0 = 2*n - 3*v - 7. Determine u, given that -n*u + 1 + 3*u - 2*u**3 - 2*u**t - u**4 + 2*u**4 + 0 + u**5 = 0.
-1, 1
Suppose 0 = x - 0 - 4. Factor -5*p**3 + p**4 + 4*p**3 - 2 - 4*p + p**x + 5*p**3.
2*(p - 1)*(p + 1)**3
Let h(o) be the third derivative of o**6/360 - o**5/45 + 5*o**4/72 - o**3/9 + 3*o**2. Let h(i) = 0. Calculate i.
1, 2
Let m(q) be the second derivative of -q**5/240 + q**4/96 + q**3/12 + q**2 + 4*q. Let c(b) be the first derivative of m(b). Factor c(l).
-(l - 2)*(l + 1)/4
Factor 4/11 - 14/11*f - 10/11*f**2 + 8/11*f**3.
2*(f - 2)*(f + 1)*(4*f - 1)/11
Suppose -2*t + 0*t + 3*l + 18 = 0, 0 = 4*t - 3*l - 30. Let d(q) = q - 4. Let p be d(t). Find v, given that 4*v**p + v**4 - 6*v**3 + 3*v**3 - v**2 - v = 0.
0, 1
Factor 167*u**3 + 48 - 21*u**2 + 100*u**4 + 17*u**2 + 153*u**3 - 176*u.
4*(u + 1)*(u + 3)*(5*u - 2)**2
Let b be (-38)/(-78) - (-2)/(-6). Let 2/13 - 2/13*k**2 - 2/13*k + b*k**3 = 0. Calculate k.
-1, 1
Let f be 1/5 - 14/(-5). Suppose 8 = f*h + 2. Factor 4/3*y - 8/3*y**h + 0 - 7*y**3.
-y*(3*y + 2)*(7*y - 2)/3
Let d(o) = -o**3 + o**2 + o + 5. Let v be d(0). Factor -16*r**2 - 8*r + v*r**2 - 13*r**2 - 4*r**2.
-4*r*(7*r + 2)
Let 5*r**2 - 7*r + 7*r - 2*r**2 - 3 = 0. What is r?
-1, 1
Factor 1/5*g**2 - 4/5 + 0*g.
(g - 2)*(g + 2)/5
Let s(h) be the third derivative of 0 + 9/245*h**7 - h**2 - 9/140*h**6 + 0*h + 4/21*h**3 - 23/210*h**5 + 9/392*h**8 + 2/21*h**4. Suppose s(b) = 0. Calculate b.
-1, -1/3, 2/3
Let j be (-1 - (-6)/10)*5. Let v be 52/10 - j/(-10). Suppose 4*l + 4*l**4 + 6*l**4 + 8*l - 2*l**v - 8 + 4*l - 14*l**3 - 2*l**2 = 0. Calculate l.
-1, 1, 2
Suppose q = h - 7, 0*h + 4*q = -2*h - 4. Let c = -669 + 4695/7. Factor 2/7*j**5 - 8/7*j**2 + c*j**3 - 8/7*j**h + 2/7*j + 0.
2*j*(j - 1)**4/7
Suppose 0 = -x + 3 - 1. Solve -c**2 - 3*c**2 + 8*c**x - 69*c + 73*c = 0 for c.
-1, 0
Suppose 5*i + 4*b - 32 = 0, i - 5*b = 2*i + 2. Suppose -i + 2 = -3*z. Factor 2/5*h**z + 0*h + 0.
2*h**2/5
Let y = 19 - 13. Let p be ((-1)/(-5))/(y/10). Factor -4/3*f - p*f**2 - 4/3.
-(f + 2)**2/3
Let z(w) be the third derivative of -w**5/60 - w**4/12 - w**3/6 + 11*w**2. Let z(p) = 0. Calculate p.
-1
Solve -9/2*f - 9/8*f**3 - 2 - 7/2*f**2 - 1/8*f**4 = 0.
-4, -2, -1
Suppose d + 20 = 6*d. Suppose 0 = v + 3*z + 3, 5*v + 4*z = -0 + 7. Suppose 0*m**d + 1/4*m**v + 0 - 1/4*m**5 + 0*m + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let b(s) be the second derivative of s**8/840 + s**7/420 + s**3/2 - 3*s. Let y(u) be the second derivative of b(u). Factor y(d).
2*d**3*(d + 1)
Let n(v) be the first derivative of 0*v + 0*v**3 - 1/36*v**6 - 4 + 1/15*v**5 + 0*v**4 + 0*v**2. Factor n(b).
-b**4*(b - 2)/6
Suppose -3/4 - 3/4*q**2 + 3/2*q = 0. Calculate q.
1
Let c(l) be the first derivative of l**6/210 + 3*l**5/140 + l**4/42 + 6*l + 3. Let w(x) be the first derivative of c(x). Factor w(q).
q**2*(q + 1)*(q + 2)/7
Let v(w) be the second derivative of -w**6/30 - w**5/20 + w**4/12 + w**3/6 + 21*w. Let v(o) = 0. Calculate o.
-1, 0, 1
Let b(q) be the second derivative of -2/3*q**3 + 4*q - 2*q**2 - 1/12*q**4 + 0. Factor b(p).
-(p + 2)**2
Let w be 3/((-6)/(-16)*4). Let -6*z**4 + 0*z - z**2 + 0*z + w*z**3 + 5*z**2 = 0. What is z?
-2/3, 0, 1
What is g in 0 + 1/3*g**4 - 1/3*g + 1/3*g**3 - 1/3*g**2 = 0?
-1, 0, 1
Let j(f) be the first derivative of 3*f**5/40 + f**4/8 + f**3/24 - 1. Factor j(s).
s**2*(s + 1)*(3*s + 1)/8
Let n(o) = o**3 + o**2 - 3*o - 5. Let r(w) = 12*w**3 + 12*w**2 - 39*w - 66. Let d(p) = -27*n(p) + 2*r(p). Determine f so that d(f) = 0.
-1, 1
Let y(i) be the second derivative of -27*i**2 + 0 - 3/2*i**4 + 3*i - 9*i**3 - 1/10*i**5. Let y(j) = 0. What is j?
-3
Let j(b) be the third derivative of -b**5/120 + 5*b**4/48 - b**3/3 + 17*b**2. Factor j(a).
-(a - 4)*(a - 1)/2
Let c(f) be the second derivative of 0*f**2 - 1/4*f**3 + 0 + 3/8*f**4 - f - 9/40*f**5 + 1/20*f**6. Factor c(l).
3*l*(l - 1)**3/2
Let g(w) = w**3 + 4*w**2 + 3*w - 3. Let b(m) = 6*m**3 + 23*m**2 + 17*m - 17. Suppose 12 = 3*k - 6. Let d(i) = k*b(i) - 34*g(i). Determine h so that d(h) = 0.
-1, 0
Solve 1/4*c - 1/4*c**2 + 1/2 = 0 for c.
-1, 2
Let g(x) be the se