t v(g) = 2*g**3 - 5*g**2 - 9*g - 4. Let y(r) = -2*h(r) + 5*v(r). Solve y(f) = 0 for f.
-1, -1/2, 4
Let n(k) be the second derivative of k**5/40 + k**4/12 - k**3/12 - k**2/2 - 2*k + 16. Factor n(w).
(w - 1)*(w + 1)*(w + 2)/2
Suppose -216/5*v**2 + 108/5*v**3 - 24/5*v**4 + 2/5*v**5 + 0 + 162/5*v = 0. Calculate v.
0, 3
Suppose 10 = -7*i + 2*i, 2*q - 3*i - 2 = 0. Let g = q + 5. Factor 1/4*j**4 + 0*j + 0*j**2 + 0 - 1/4*j**g.
j**3*(j - 1)/4
Let y(k) = 8*k**2 + 15*k - 9. Let r(q) = 2*q**2 + 4*q - 2. Let v(j) = -9*r(j) + 2*y(j). Factor v(p).
-2*p*(p + 3)
Let d(a) be the second derivative of 2*a**7/105 + a**6/75 - a**5/10 + a**4/15 - 28*a. Determine k so that d(k) = 0.
-2, 0, 1/2, 1
Let b(u) be the third derivative of -u**8/6720 + u**7/1260 - u**6/720 - u**4/12 + 6*u**2. Let c(v) be the second derivative of b(v). Factor c(d).
-d*(d - 1)**2
Solve -1/11*v**2 - 2/11 + 3/11*v = 0 for v.
1, 2
Let j(y) be the second derivative of 4*y + 0*y**2 + 0 - 1/6*y**4 + 1/15*y**6 + 1/10*y**5 - 1/3*y**3. Determine x, given that j(x) = 0.
-1, 0, 1
Let u = -290 + 34801/120. Let l(s) be the third derivative of 0*s - 1/100*s**5 + 1/1050*s**7 + 1/600*s**6 + 1/15*s**3 + 0 + s**2 - u*s**4. Factor l(c).
(c - 1)**2*(c + 1)*(c + 2)/5
Let v(z) be the first derivative of -2*z**5/65 + 9*z**4/13 - 122*z**3/39 - 180*z**2/13 - 200*z/13 + 31. Let v(j) = 0. What is j?
-1, 10
Let p(g) be the first derivative of 1/5*g + 1 + 0*g**2 - 1/15*g**3. Factor p(w).
-(w - 1)*(w + 1)/5
Let y(m) be the third derivative of 5*m**8/336 + m**7/42 - m**6/24 - m**5/12 + 12*m**2. Determine o, given that y(o) = 0.
-1, 0, 1
Factor -44 - 5*j**2 - 44 + 88.
-5*j**2
Let k(a) be the first derivative of -2*a**3/15 + 3*a**2/5 - 4*a/5 + 35. Factor k(r).
-2*(r - 2)*(r - 1)/5
Let u be -2 + 0 + -4 + 4. Let d = u - -4. Factor z**d - 2*z**4 + 3*z**2 - 14 + 12.
-2*(z - 1)**2*(z + 1)**2
Let w(b) be the third derivative of -b**6/40 - b**5/10 - b**4/8 - 7*b**2. Factor w(t).
-3*t*(t + 1)**2
Let u(p) = -6*p**3 - 3*p**2 - p + 1. Let f be u(-1). Suppose s - f*w + 3*w = 4, -4*s - 2*w = -6. Solve s*i**2 - 1 + 7/2*i = 0.
-2, 1/4
Suppose u = -2*y + 7, 8 + 0 = -4*y. Let o = u + -8. Factor 2*l**4 + 2*l**3 + 0*l**3 - l**o.
l**3*(2*l + 1)
Let o = 2557 + -460259/180. Let w(l) be the third derivative of 0*l**5 + o*l**6 + 0 - 3*l**2 + 0*l**3 + 0*l**4 + 0*l. Factor w(c).
2*c**3/3
Let z(m) be the third derivative of 0 + 0*m**3 - m**2 + 0*m + 1/12*m**4 - 1/30*m**5. Determine i so that z(i) = 0.
0, 1
Let b be (-1)/((-4)/10) + 5848/(-2448). Factor -2/9*n + b + 1/9*n**2.
(n - 1)**2/9
Let a = 4105/11 - 373. Let 0 - 4/11*h**4 + 0*h + a*h**3 + 2/11*h**5 + 0*h**2 = 0. What is h?
0, 1
Solve 3/5*r**4 - 3/5*r**2 + 0 + 3/5*r**3 - 3/5*r = 0.
-1, 0, 1
Let h(b) be the third derivative of 0*b + 1/12*b**3 - 1/84*b**7 + 2*b**2 + 1/12*b**4 - 1/120*b**6 - 1/336*b**8 + 0 + 1/30*b**5. Suppose h(w) = 0. Calculate w.
-1, -1/2, 1
Let t(z) be the first derivative of -5*z**4/4 - 1. Suppose t(s) = 0. Calculate s.
0
Let r(j) be the third derivative of -j**7/180 - j**6/45 - 11*j**5/360 - j**4/72 - 17*j**2. Let r(p) = 0. What is p?
-1, -2/7, 0
Suppose 7/4*r**2 + 0 + 1/2*r - 1/2*r**3 - 7/4*r**4 = 0. Calculate r.
-1, -2/7, 0, 1
Let w(j) be the second derivative of 5*j**7/42 + 5*j**6/6 + 3*j**5/2 - 5*j**4/3 - 20*j**3/3 + 17*j. Let w(p) = 0. What is p?
-2, 0, 1
Suppose -f = -5*y - 2*f + 32, 0 = -5*f - 15. Suppose -6 - 3*t - y*t**2 + 7*t + 9*t**2 = 0. Calculate t.
-3, 1
Let j(r) be the second derivative of -r**7/28 - 3*r**6/10 - 21*r**5/20 - 2*r**4 - 9*r**3/4 - 3*r**2/2 - 8*r. Find x, given that j(x) = 0.
-2, -1
Let k = -461/33 + 43/3. Factor -k*q + 2/11*q**2 - 6/11.
2*(q - 3)*(q + 1)/11
Factor 396*g**2 + 15 + 10 + 20*g - 401*g**2.
-5*(g - 5)*(g + 1)
Let k = -2/41 - -49/164. Let j(b) be the second derivative of k*b**2 - 1/12*b**3 + 1/40*b**5 - 1/24*b**4 - 3*b + 0. What is c in j(c) = 0?
-1, 1
Suppose 0 = -2*q - 2*y - 6, -q - y + 22 = -5*y. Suppose -5*n = -q*n - 6. Let -8/7 - 8/7*m - 2/7*m**n = 0. What is m?
-2
Let x(o) be the third derivative of -o**8/112 + o**7/35 - o**5/10 + o**4/8 + 3*o**2. Find s such that x(s) = 0.
-1, 0, 1
Let w(k) be the third derivative of -k**8/224 + k**7/140 + k**6/20 - k**5/10 + 15*k**2. Let w(z) = 0. What is z?
-2, 0, 1, 2
Let l(o) be the third derivative of o**6/480 - o**5/240 - o**4/48 + 15*o**2. Factor l(x).
x*(x - 2)*(x + 1)/4
Let n(d) = d**3 + 5*d**2 + 5*d + 6. Let j be n(-4). Suppose -j*t - t = -12. Find c such that 6*c**2 + 1 - 4*c - 2*c**3 - 2*c**3 + 0*c**t + c**4 + 0*c**3 = 0.
1
Let a(p) be the third derivative of p**6/300 + p**5/75 + p**4/60 - 24*p**2. Solve a(b) = 0.
-1, 0
Let z(b) be the third derivative of b**8/3360 - b**7/560 - b**6/720 + b**5/80 - 7*b**3/6 + b**2. Let i(d) be the first derivative of z(d). Factor i(a).
a*(a - 3)*(a - 1)*(a + 1)/2
Let p(x) be the first derivative of x**5/210 - x**3/21 + 3*x**2 + 3. Let f(b) be the second derivative of p(b). Let f(w) = 0. Calculate w.
-1, 1
Let v be (-8)/12*(-18)/(-4). Let b be (-7 - v)/(2/(-1)). Find r, given that -2/9*r**3 + 2/9*r - 2/3*r**b + 0 + 2/3*r**4 = 0.
-1, 0, 1/3, 1
Let g = 326/7 - 318/7. Determine n, given that -g*n - 2/7*n**2 - 8/7 = 0.
-2
Suppose -5*a + 3 = 13. Let s(r) = r**5 + r**4 - r**2 + r + 1. Let z(q) = -3*q**5 - 2*q**4 + 4*q**3 + 4*q**2 - 5*q - 4. Let x(l) = a*s(l) - z(l). Factor x(y).
(y - 2)*(y - 1)*(y + 1)**3
Let q(d) be the second derivative of -2*d**6/135 - d**5/45 + d**4/9 + 2*d**3/27 - 4*d**2/9 - 12*d. Let q(l) = 0. Calculate l.
-2, -1, 1
Factor -2/7*u**2 + 0 + 6/7*u.
-2*u*(u - 3)/7
Suppose 0 = -3*v + u + 17, 2 + 0 = -u. Factor -z + z + 3*z**2 + 3 - z - v*z.
3*(z - 1)**2
Let c = -7 + 9. Let g be (-39)/(-12) + 1/(-4). Factor -2*u - c*u**4 + 0*u**4 + u**3 - u**g - 6*u**2 - 6*u**3.
-2*u*(u + 1)**3
Let w(s) be the third derivative of -s**6/48 + 5*s**4/16 + 5*s**3/6 + 14*s**2. Factor w(c).
-5*(c - 2)*(c + 1)**2/2
Let h = 1 - -1. Solve 0*t**2 + 0*t**2 - t**h = 0.
0
Find b such that 3/7*b + 3/7*b**3 + 6/7*b**2 + 0 = 0.
-1, 0
Let x(p) = -5*p**3 + 3*p**2 - 3*p + 1. Let v(u) = 14*u**3 - 8*u**2 + 8*u - 3. Let r(q) = -4*v(q) - 11*x(q). Factor r(a).
-(a - 1)*(a + 1)**2
Factor 0 + 4/5*g**4 - 4/5*g**2 + 0*g + 4/5*g**3 - 4/5*g**5.
-4*g**2*(g - 1)**2*(g + 1)/5
Let t(f) = f + 3. Let j be t(-4). Let x = j - -4. Factor 25*z**4 + 4*z**2 - 10*z**3 + x*z**3 - 13*z**3.
z**2*(5*z - 2)**2
Let w(v) be the third derivative of v**8/105 - 2*v**7/105 + v**6/150 - 10*v**2 + 2. Factor w(f).
4*f**3*(f - 1)*(4*f - 1)/5
Let r(o) be the second derivative of 5*o**7/84 + o**6/2 + 7*o**5/4 + 10*o**4/3 + 15*o**3/4 + 5*o**2/2 - 3*o. Factor r(c).
5*(c + 1)**4*(c + 2)/2
Let d(r) be the first derivative of 3*r - 1/8*r**3 + 1/80*r**5 - 1/4*r**2 + 0*r**4 - 3. Let b(q) be the first derivative of d(q). Factor b(c).
(c - 2)*(c + 1)**2/4
Suppose -35 = 3*a + 2*a + 5*r, -5*a - 4*r = 30. Let s be (a/(-12))/(5/20). Factor -s + 2/3*f**2 + 0*f.
2*(f - 1)*(f + 1)/3
Let o(a) be the third derivative of -a**5/15 + a**4 + 14*a**3/3 + 3*a**2. Factor o(j).
-4*(j - 7)*(j + 1)
Let q(d) be the first derivative of d**3/7 - 6*d**2/7 + 9*d/7 + 7. Let q(l) = 0. Calculate l.
1, 3
Let t(s) be the third derivative of -s**5/75 - s**4/20 + 2*s**3/15 + 3*s**2. Find z, given that t(z) = 0.
-2, 1/2
Let j(l) be the first derivative of l**4/24 + 2*l**3/3 + 4*l**2 - 3*l - 9. Let a(p) be the first derivative of j(p). Factor a(v).
(v + 4)**2/2
Let r = -40301/1170 - -454/13. Let a = 1/45 + r. Factor -1/4*i + 0 + 1/2*i**2 + 0*i**3 - a*i**4 + 1/4*i**5.
i*(i - 1)**3*(i + 1)/4
Let v(q) be the third derivative of -q**7/70 + q**6/20 + q**5/20 - q**4/4 - 13*q**2. Factor v(c).
-3*c*(c - 2)*(c - 1)*(c + 1)
Factor -1/2 + 1/6*b**2 + 1/3*b.
(b - 1)*(b + 3)/6
Let p(g) be the third derivative of -5*g**7/21 + 3*g**6/8 + 2*g**5/3 - 15*g**4/8 + 5*g**3/3 + 12*g**2. Solve p(x) = 0.
-1, 2/5, 1/2, 1
Determine j so that j**4 - j - 3*j**2 + 2*j**4 - 3*j**3 + j + 3*j = 0.
-1, 0, 1
Factor -t**4 - 2 + 4*t + 4*t**3 + 6*t**2 - 5*t**3 - 3*t - 3*t**2.
-(t - 1)**2*(t + 1)*(t + 2)
Let h(r) = r**5 - r**4 + r**3 + r**2 - 1. Let a(b) = 2*b**5 - 5*b**4 + 17*b**3 + 11*b**2 - 9*b - 11. Let d(g) = -a(g) + 5*h(g). Factor d(i).
3*(i - 2)*(i - 1)*(i + 1)**3
Let t(x) = -x**3 + 5*x**2 - 5*x + 2. Let i be t(3). Suppose -5*c - 4 - 6 = i*n, 4*n = -3*c - 10. Factor -2 + 3*z**2 + 2*z**2 