4*v**4 - 1/4*v - 1/4*v**5 + 1/2*v**3 - 1/4 = 0.
-1, 1
Let 12/5*u**2 + 8/5*u + 0 = 0. Calculate u.
-2/3, 0
Suppose -f - 3*f - 4*o = 8, 0 = 3*f - 2*o - 19. Let 3 - 2*p + 9*p - 3*p**2 - 4*p - f*p**3 = 0. Calculate p.
-1, 1
Let u(v) be the third derivative of 0*v**5 + 0*v**3 - 1/448*v**8 - 1/32*v**4 + 0*v - 3*v**2 + 0 + 0*v**7 + 1/80*v**6. Determine x, given that u(x) = 0.
-1, 0, 1
Determine g so that 12/7 + 3/7*g**2 + 12/7*g = 0.
-2
Let n(l) be the third derivative of l**6/300 + 2*l**5/75 + l**4/12 + 2*l**3/15 - 12*l**2. Solve n(u) = 0.
-2, -1
Determine f so that -4/5*f**2 + 8/5*f - 16/15 + 2/15*f**3 = 0.
2
Let u(q) be the first derivative of q**5/15 + q**4/12 - q**3/3 - 5*q**2/6 - 2*q/3 - 1. Factor u(t).
(t - 2)*(t + 1)**3/3
Suppose -5*j - 8 - 1 = 4*y, 5*y = 5*j + 45. Let x = 1 - -1. What is p in -2*p**y - 4*p + 3*p + 2*p**2 + 0*p**x + p**5 = 0?
-1, 0, 1
Let g(q) = -q**2 - 8*q + 12. Let b be g(-9). Let i be 1 + -1 - 2/(-1). Factor 2*y**i - y**2 - b*y**2 - 2*y.
-2*y*(y + 1)
Find l, given that -5*l**4 + 20*l**2 + 9*l**3 + 22*l**3 + 5*l**5 - 61*l**3 + 40*l = 0.
-2, -1, 0, 2
Let l = 137/262 - 3/131. Factor -l*n**2 + 1 + 1/2*n.
-(n - 2)*(n + 1)/2
Let r = -322 - -1611/5. Find f, given that -r*f**2 + 4/5*f - 3/5 = 0.
1, 3
Determine b, given that b**2 + b + 2*b**2 - 4*b = 0.
0, 1
Let l be (-132)/308 - 16/(-21). Factor 1/3*r**2 + 1/3*r - 1/3*r**3 - l*r**4 + 0.
-r*(r - 1)*(r + 1)**2/3
Suppose 2*o = 2*l - 10, -2*l - l - 3*o + 9 = 0. Let 0 - 2/7*v**l + 4/7*v + 8/7*v**3 - 10/7*v**2 = 0. What is v?
0, 1, 2
Let v = 112 - 551/5. Let -v*m**2 - 7/5*m + 2/5 = 0. Calculate m.
-1, 2/9
Let q = -37 + 71. Let n be q/10 + -9 + 6. Factor -n*x - 18/5*x**2 - 22/5*x**3 + 2/5 - 8/5*x**4.
-2*(x + 1)**3*(4*x - 1)/5
Let c be 54/(-72)*(-16)/6. Find n such that 0*n + 0 + 1/4*n**3 + 0*n**c = 0.
0
Let a(q) be the first derivative of -q**5/10 + 5*q**4/12 - 2*q**3/3 + q**2/2 - q/6 + 6. Find k such that a(k) = 0.
1/3, 1
Let g(y) be the first derivative of -y**6/20 + y**4/4 - 3*y**2/4 + 4*y + 1. Let z(f) be the first derivative of g(f). Factor z(m).
-3*(m - 1)**2*(m + 1)**2/2
Let g be (-14)/4*(-72)/63. Suppose 2*j = -3*l + j + 8, 0 = g*l - 5*j + 2. Suppose 0*h - 2/9*h**3 - 2/9*h**5 + 0*h**l - 4/9*h**4 + 0 = 0. Calculate h.
-1, 0
Let g(r) be the first derivative of 1/4*r**4 + 1/10*r**5 + 1/6*r**3 + 0*r - 1 + 0*r**2. Find k such that g(k) = 0.
-1, 0
Let y = -151/5 - -31. Let i be (-4)/14 + (-24)/(-35). Factor 2/5*n**5 + 2/5*n + 2/5*n**4 - 4/5*n**2 - y*n**3 + i.
2*(n - 1)**2*(n + 1)**3/5
Let r(y) be the third derivative of -y**2 + 1/7*y**4 + 2/245*y**7 + 0*y + 1/105*y**5 - 1/1176*y**8 + 0 - 11/420*y**6 - 8/21*y**3. Solve r(m) = 0 for m.
-1, 1, 2
Factor 12*g**4 - g**2 + 9*g**3 - 14*g**4 - 9*g**2 + 3*g.
-g*(g - 3)*(g - 1)*(2*g - 1)
Let h(i) = i**4 + i**2 + 1. Suppose -5*j + 4 = -3*w, 0 = w + 5*j + 4 - 16. Let a(y) = -y**2. Let q(k) = w*h(k) + 6*a(k). Solve q(u) = 0.
-1, 1
Let w(g) = -g**4 + 11*g**3 + 12*g**2 - 5*g + 5. Let c(s) = 6*s**3 + 6*s**2 - 3*s + 3. Let k(t) = 5*c(t) - 3*w(t). Factor k(o).
3*o**2*(o - 2)*(o + 1)
Let f(n) be the first derivative of -n**8/1008 + n**7/1260 + n**6/216 - n**5/180 - 5*n**3/3 - 5. Let m(z) be the third derivative of f(z). Factor m(t).
-t*(t - 1)*(t + 1)*(5*t - 2)/3
Let p be 24 - 3/((-9)/(-12)). Factor 27*f - 49*f + 2*f**5 - 4*f**4 + 4*f**2 + p*f.
2*f*(f - 1)**3*(f + 1)
Let g(t) be the third derivative of t**7/210 - t**5/60 + 4*t**2. Factor g(f).
f**2*(f - 1)*(f + 1)
Let w(o) be the second derivative of -o**5/40 - o**4/8 + o**2 - 5*o. Solve w(t) = 0.
-2, 1
Let i(m) be the first derivative of -m**3/21 - 16*m**2/7 - 256*m/7 + 4. Factor i(x).
-(x + 16)**2/7
Let v be 27/(-6)*(-6)/9. Let r(y) = -y**2 + 9*y - 3. Let n be r(6). Find s, given that n - 15 + 2*s**v + 2*s**2 - 2*s**4 - 2*s**5 = 0.
-1, 0, 1
Suppose 5*n - 20 = 5. Suppose n*b - 6 = 2*b. Factor 1/5*p**b + 0 + 0*p + 1/5*p**3.
p**2*(p + 1)/5
Suppose r + 6 = 4*i - 2*i, 2*i + 6 = -5*r. Let h(d) be the first derivative of 0*d**3 + 1/3*d**6 + 2 + 0*d**i + 0*d + 8/15*d**5 + 1/6*d**4. Factor h(w).
2*w**3*(w + 1)*(3*w + 1)/3
Let n = 6061/7 - 865. Suppose 8/7*c - 2/7 - n*c**2 = 0. Calculate c.
1/3, 1
Let x(f) be the second derivative of -f**5/60 - f**4/36 + f**3/18 + f**2/6 - 3*f. Factor x(o).
-(o - 1)*(o + 1)**2/3
Let w(r) be the first derivative of -1/15*r**6 - 4 + 1/5*r**4 + 2/5*r - 4/15*r**3 - 1/5*r**2 + 2/25*r**5. Factor w(h).
-2*(h - 1)**3*(h + 1)**2/5
Let i be 9*3/36*(-28)/(-6). Factor -11/2*a**2 + 0 - 8*a**3 - i*a**4 - a.
-a*(a + 1)**2*(7*a + 2)/2
Let i = 101 + -98. Let u(j) be the first derivative of -2 + 4*j - j**2 - 2/3*j**i. Factor u(n).
-2*(n - 1)*(n + 2)
Let w(s) be the first derivative of 14*s**6/3 + 8*s**5/5 - 7*s**4 - 8*s**3/3 + 4. Determine k, given that w(k) = 0.
-1, -2/7, 0, 1
Let d(z) be the third derivative of -1/525*z**7 + 0*z**5 - 1/600*z**6 + 0*z**4 + 0*z**3 - 2*z**2 - 1/1680*z**8 + 0*z + 0. Suppose d(s) = 0. Calculate s.
-1, 0
Suppose 30 = 8*c - 2. Factor 0*g**2 + 3/2*g**5 + 3*g**c + 0*g + 3/2*g**3 + 0.
3*g**3*(g + 1)**2/2
Let i be (3 + -5)/(6/(-9)). Factor 2*v**3 - 3*v**5 + 3 + 4*v**i + 3*v**2 + 3*v**4 + 0*v**5 - 3*v - 9*v**2.
-3*(v - 1)**3*(v + 1)**2
Determine n, given that 10*n**2 - 55*n**3 + 24*n - 5*n**5 - 40 + 30*n**4 + 58*n - 22*n = 0.
-1, 1, 2
Let -3 + 5 + 108*o**2 - 1 + 36*o + 2 = 0. What is o?
-1/6
Let p(a) be the second derivative of 0*a**2 + 1/100*a**5 + 4*a + 0 + 0*a**4 + 0*a**3. Solve p(t) = 0 for t.
0
Let j(k) be the first derivative of 1/2*k**2 + 1/3*k**3 - 1 + 0*k. Factor j(c).
c*(c + 1)
Let b(u) be the first derivative of -u**5/15 - 2*u**4/3 - 2*u**3 - 3*u**2/2 + 5. Let t(g) be the second derivative of b(g). Find i such that t(i) = 0.
-3, -1
Let q be (1 + -2)*(-2 - 0). Find o, given that o**3 + 8*o**q - 2*o - 2*o**4 - 6*o**2 + o**3 = 0.
-1, 0, 1
Suppose 0 = -h + 2*h - 5. Let m(a) be the first derivative of -2/7*a**3 + 0*a + 2 - 2/35*a**h + 3/14*a**4 + 1/7*a**2. Factor m(c).
-2*c*(c - 1)**3/7
Factor 2*f - 4*f**2 + 3*f**2 - 8*f + 4*f**2.
3*f*(f - 2)
Suppose -5/2*x**5 + 25/2*x**2 - 35/4*x**4 + 0*x**3 - 15/4 + 5/2*x = 0. What is x?
-3, -1, 1/2, 1
Factor -1/5 - 4/5*f**2 - f.
-(f + 1)*(4*f + 1)/5
Let z(n) be the first derivative of -n**5/10 + n**3 + 2*n**2 + n - 6. Let j(a) be the first derivative of z(a). Determine u so that j(u) = 0.
-1, 2
Let g = -47 - -51. Factor a + 1/4 + 3/2*a**2 + a**3 + 1/4*a**g.
(a + 1)**4/4
Factor 0 + 10/3*r - 5/3*r**2.
-5*r*(r - 2)/3
Let r(w) be the second derivative of -3*w**6/20 + 3*w**5/20 + 3*w**4/8 - w**3/2 + 6*w - 1. Let r(z) = 0. What is z?
-1, 0, 2/3, 1
Let q(v) be the third derivative of -v**2 + 0*v - 1/390*v**5 + 0 - 1/156*v**4 + 0*v**3. Let q(k) = 0. What is k?
-1, 0
Factor -3*p**3 + 4*p**5 - 3*p**5 + p**2 + 2*p - p**4 + 0*p**4.
p*(p - 2)*(p - 1)*(p + 1)**2
Suppose 0 = -2*f + 3*k - 12 - 1, 0 = -f - 3*k + 7. Let v be 21/18*f/(-7). Determine q so that 0*q - v*q**5 + 0 - 4/3*q**4 - 5/3*q**3 - 2/3*q**2 = 0.
-2, -1, 0
Let z(g) be the second derivative of g**6/12 + g**5/15 - 5*g**4/12 - 2*g**3/3 - g**2 - 3*g. Let q(p) be the first derivative of z(p). Factor q(y).
2*(y - 1)*(y + 1)*(5*y + 2)
Let d = -3 - 3. Let z be ((-3)/6)/(3/d). Factor -z + i**2 - 3*i + 3 + i - 1.
(i - 1)**2
Let k = 14 + -27. Let d = 21 + k. Let -2*a**2 - a**2 + d*a + a - 6 = 0. Calculate a.
1, 2
Let d(v) = -v**3 + 5*v**2 + 3. Let q be d(4). Let g = q + -19. Factor 0*j**2 + j**3 + 1/2*j**5 + 3/2*j**4 + g + 0*j.
j**3*(j + 1)*(j + 2)/2
Let o(d) be the second derivative of d**6/180 + d**5/30 + d**4/12 - d**3/3 + 3*d. Let v(u) be the second derivative of o(u). Find w, given that v(w) = 0.
-1
Let r be (-350)/15*(-19)/(-3). Let k = r - -148. Factor 2/9 - k*j**2 + 0*j.
-2*(j - 1)*(j + 1)/9
Let o(y) be the third derivative of -y**5/210 + y**4/84 + 2*y**3/21 + 7*y**2. Factor o(x).
-2*(x - 2)*(x + 1)/7
Let v(t) be the second derivative of -t**6/10 + 3*t**5/5 - 3*t**4/4 - 2*t**3 + 6*t**2 + 3*t. Let v(w) = 0. Calculate w.
-1, 1, 2
Let r(o) be the third derivative of -7*o**5/30 - o**4/4 + 2*o**2 + 4*o. Suppose r(f) = 0. Calculate f.
-3/7, 0
Let q be ((-8)/4 - (-2)/1)/1. Factor q + 2/3*p - 4/3*p**2 + 2/3*p**3.
2*p*(p - 1)**2/3
Suppose -10*s + 8 = -8*s. Let i(g) be the first derivative of 0*g**3 + 1/7*g**s - 4 + 0*g**2 + 2/7*g**5 + 0*g + 1/7*g**6. Suppose i(k) = 0. Calculate k.
-1, -2/3,