*k**5/15 + k**4/2 + 22*k**2. Factor o(u).
-4*u*(u - 1)*(u + 3)
Let t(a) be the third derivative of -a**5/40 + a**4/4 + 5*a**3/4 + 10*a**2 - 1. Factor t(g).
-3*(g - 5)*(g + 1)/2
Let l(u) be the first derivative of u**3/4 + 3*u**2/8 - 46. Let l(i) = 0. Calculate i.
-1, 0
Let g = 19 + 1. Let b be 5/(-20) + 13/g. Let -2/5*y - b*y**2 + 0 = 0. What is y?
-1, 0
Let v = -139/2 + 70. Suppose -2*f**3 + v*f**2 - 1/4 + 7/4*f**4 - 1/2*f**5 + 1/2*f = 0. Calculate f.
-1/2, 1
Suppose 0 = -3*p - 9, 3*l + 49*p = 47*p - 6. Let l + 1/3*g**2 + 2/3*g = 0. Calculate g.
-2, 0
Factor 26/7*c**2 - 120/7*c + 2/7*c**4 + 20/7*c**3 + 72/7.
2*(c - 1)**2*(c + 6)**2/7
Let d(k) be the second derivative of -k**3 - 3*k - 1/5*k**5 + 0 + 1/40*k**6 + 5/8*k**4 + 3/2*k**2. Let m(l) be the first derivative of d(l). Factor m(c).
3*(c - 2)*(c - 1)**2
Let h be (2/(-5))/((-5)/25). Solve -4*r**2 + 2 + 0 - h*r**4 + 4*r**4 = 0 for r.
-1, 1
Suppose -100 - 144 = -61*m. Factor 24/5*q**3 + 12/5*q**2 + 9/5*q**5 + 0*q + 0 - 33/5*q**m.
3*q**2*(q - 2)**2*(3*q + 1)/5
Let u(x) be the third derivative of -1/3*x**3 + 2*x**2 + 1/210*x**5 + 0*x + 0 + 1/1260*x**6 + 1/84*x**4. Let i(m) be the first derivative of u(m). Factor i(p).
2*(p + 1)**2/7
Let -2*l**2 - 8 + 2*l**3 - 4*l**2 + l**3 - 12*l - 4*l**3 = 0. What is l?
-2
Let g(d) be the second derivative of d**9/83160 + d**8/18480 + d**7/13860 - d**4/6 + 2*d. Let i(h) be the third derivative of g(h). Find m such that i(m) = 0.
-1, 0
Let l(r) be the first derivative of -5*r**4/4 - 7*r**3/2 - 3*r**2 - 2*r - 2. Let q(s) be the first derivative of l(s). Find k such that q(k) = 0.
-1, -2/5
Let b(f) be the first derivative of -f**3/7 + 3*f**2/7 + 2. Factor b(z).
-3*z*(z - 2)/7
Let t = -54 - -57. Factor 0 - 1/2*g**4 + 0*g**t + 1/4*g**5 + 1/2*g**2 - 1/4*g.
g*(g - 1)**3*(g + 1)/4
Let l(n) = 2*n**4 - 8*n**3 + 19*n**2 - 8*n + 2. Let y(k) = -k**4 + 4*k**3 - 9*k**2 + 4*k - 1. Let c(j) = 3*l(j) + 7*y(j). Factor c(b).
-(b - 1)**4
Let q(v) = -v**2 - 34*v + 39. Let u be q(-35). Factor -162*y**2 + 162*y**3 + 72*y - 243/4*y**u - 12.
-3*(3*y - 2)**4/4
Factor -4/3*n**2 + 2/3 + 0*n + 0*n**3 + 2/3*n**4.
2*(n - 1)**2*(n + 1)**2/3
Let s(p) be the first derivative of 3/4*p**2 + 1 + 1/4*p**3 + 0*p. What is w in s(w) = 0?
-2, 0
Let t = -42 - -60. Let c be 3*1*12/t. Let 7*d + 0*d - 5*d + 2*d**c = 0. Calculate d.
-1, 0
Let a be 34/(-24)*-3 - 4. Factor -3/4*l**4 + 0*l - l**3 + 0 - a*l**2.
-l**2*(l + 1)*(3*l + 1)/4
Let v(l) be the third derivative of -l**10/907200 + l**5/60 - 8*l**2. Let f(d) be the third derivative of v(d). Find w such that f(w) = 0.
0
Suppose 0 = 15*k - 7*k - 48. Let b(u) be the first derivative of -3/2*u**2 - k*u - 9/5*u**5 + 3/4*u**4 + 5*u**3 + 3. What is w in b(w) = 0?
-1, -2/3, 1
Let c = -40 - -46. Let t(z) be the second derivative of 0 - z + 0*z**3 - 2/105*z**c + 0*z**4 + 0*z**2 - 1/70*z**5 - 1/147*z**7. Factor t(u).
-2*u**3*(u + 1)**2/7
Let m(w) be the first derivative of -w**4/48 - 5*w**3/24 - w**2/2 + 6*w + 8. Let c(k) be the first derivative of m(k). Solve c(i) = 0.
-4, -1
Let m(l) = 5*l**3 + 7*l**2 + 8*l + 6. Let i(k) = 9*k**3 + 14*k**2 + 16*k + 11. Let j(p) = -6*i(p) + 11*m(p). Let b be j(8). Factor 1/4*g - 1/4*g**2 + b.
-g*(g - 1)/4
Factor 0 - 1/2*v**2 - 1/2*v**4 + 0*v + v**3.
-v**2*(v - 1)**2/2
Factor 2/3 - 1/3*i**2 + 1/3*i.
-(i - 2)*(i + 1)/3
Let -2*q**3 + 12*q**2 + 5 + 5*q**3 - 3 + 15*q + 4 = 0. Calculate q.
-2, -1
Find f such that 4*f**2 + 32*f**4 - 14*f**5 - 15*f - 22*f**3 + 15*f = 0.
0, 2/7, 1
Suppose 0 = -2*a - 3*a. Let r(l) be the second derivative of a*l**3 - 1/24*l**4 + l - 1/40*l**5 + 0 + 0*l**2. Let r(o) = 0. Calculate o.
-1, 0
Suppose -37 + 47 = 5*s. Solve 3/5*h**s + 0 + 3/5*h = 0 for h.
-1, 0
Let g(n) be the second derivative of -4/5*n**6 - 5*n - 1/5*n**5 + 0 + 0*n**2 + 3/7*n**7 + 1/3*n**3 + 2/3*n**4. Determine t so that g(t) = 0.
-1/3, 0, 1
Let t(c) be the second derivative of c + 0*c**2 - 1/6*c**3 + 1/6*c**4 - 1/20*c**5 + 0. Solve t(m) = 0 for m.
0, 1
Suppose 0 = 3*s + 5*w - 11, 2*s = -w + 2 + 3. Let u = -4 + 8. Determine v so that -2*v + 6*v**3 + 2*v**4 + 0*v**u - 4*v - s*v = 0.
-2, 0, 1
Let k be (0/3)/1 - -5. Let t = -3 + k. Find z, given that 0*z + z + 1 + z**t + z = 0.
-1
Let m(v) be the third derivative of -v**7/6300 - v**6/450 - v**5/75 - v**4/24 + v**2. Let c(o) be the second derivative of m(o). Find z such that c(z) = 0.
-2
Factor 13*v**2 + 12*v**2 + v - 26*v**2.
-v*(v - 1)
Factor 2/7 + 4/7*i + 2/7*i**2.
2*(i + 1)**2/7
Let z(v) be the second derivative of 3/40*v**6 + 0*v**2 + 1/16*v**4 + 1/56*v**7 + 0 - 3*v + 0*v**3 + 9/80*v**5. Factor z(c).
3*c**2*(c + 1)**3/4
Let r = 49/2 - 131/6. Factor r - 10/3*l**2 - 16/3*l.
-2*(l + 2)*(5*l - 2)/3
Let p(z) = -7*z + 165. Let w be p(23). What is q in 2/5*q**5 + 2/5*q**w + 0 - 2/5*q**2 - 6/5*q**3 + 4/5*q = 0?
-2, -1, 0, 1
Let o(v) = -12*v**5 - 18*v**4 - 74*v**3 - 102*v**2 - 106*v - 42. Let a(s) = s**5 + s**3 - s**2 + s + 1. Let p(x) = -20*a(x) - 2*o(x). Factor p(n).
4*(n + 1)*(n + 2)**4
Let x(t) = 3*t + 63. Let q be x(-20). Let y = 181/560 + -3/80. Factor -y + 2/7*a**2 + 2/7*a - 2/7*a**q.
-2*(a - 1)**2*(a + 1)/7
Suppose -5*q + 0*a - 3*a + 27 = 0, 3*q - a - 19 = 0. Suppose 2*p + 8 = q*p. Factor -1/5 - 1/5*t**p + 2/5*t.
-(t - 1)**2/5
Let x(z) be the first derivative of -4 + 8/7*z + 2/21*z**3 + 4/7*z**2. Let x(v) = 0. What is v?
-2
Let f(q) = q**3 + 8*q**2 + 6*q - 4. Let j be f(-7). Factor -3 - 9*b**2 + 3*b**3 + 9 - 3*b + j*b**2.
3*(b - 2)*(b - 1)*(b + 1)
Let u = -8 - -16. Factor 5 - u*a**4 - 2*a**2 - 5 + 10*a**4.
2*a**2*(a - 1)*(a + 1)
Let r(l) be the first derivative of l**5/180 - l**4/72 + l**2 - 3. Let w(i) be the second derivative of r(i). Let w(a) = 0. What is a?
0, 1
Let d(m) be the first derivative of -m**6/6 - 2*m**5/5 + m**4/4 + 2*m**3/3 - 12. What is f in d(f) = 0?
-2, -1, 0, 1
Let 5*h**2 - 9*h**4 + 3 - 9*h + h**2 + 6*h**3 + 0*h**5 + 3*h**5 = 0. What is h?
-1, 1
Let x(g) = 2*g**3 - 4*g**2 + 6*g - 6. Let q(t) = -t**3 + 4*t**2 - 5*t + 5. Let y(w) = 6*q(w) + 5*x(w). Factor y(d).
4*d**2*(d + 1)
Factor -3/4*a**5 - 3/4*a**4 + 0 + 3/2*a**3 + 0*a + 0*a**2.
-3*a**3*(a - 1)*(a + 2)/4
Let t be ((-4)/(-4))/((-1)/(-6)). Suppose -4*c - 2*c + 2*c**4 + t*c = 0. What is c?
0
Let c = 2/73 + 67/219. Let i(d) be the second derivative of 0 + 11/18*d**4 - c*d**2 + 2*d - 1/18*d**3 + 7/20*d**5. Factor i(r).
(r + 1)*(3*r + 1)*(7*r - 2)/3
Let r be -9*(-14)/819 - (-14)/78. Factor -1/3*v**2 + 0*v + 2/3*v**3 + 0 - r*v**4.
-v**2*(v - 1)**2/3
Suppose -10*r = -93 + 33. What is f in -4*f + r + 2/3*f**2 = 0?
3
Suppose 1/5*o**4 - o**2 + 1/5*o**5 - 2/5*o + 0 - 3/5*o**3 = 0. Calculate o.
-1, 0, 2
Factor -103*x + 0*x**2 + 845 - 96*x + 69*x + 5*x**2.
5*(x - 13)**2
Factor -2/3*s**4 - 2/9*s**5 + 0*s + 0 + 0*s**2 - 4/9*s**3.
-2*s**3*(s + 1)*(s + 2)/9
Suppose -4*l + 28 = -4*r, -2*l - 2 = 5*r + 12. Let x = -4 - r. Factor 1/4*m**3 - 1/4*m + 1/4*m**2 - 1/4*m**4 + x.
-m*(m - 1)**2*(m + 1)/4
Solve -32*l - 99*l**3 + 64*l**4 + 89*l**2 - 10*l**5 - 45*l**3 + 39*l**2 = 0 for l.
0, 2/5, 2
Let i(y) = 15*y**5 + 14*y**4 + 9*y**3 - 5*y**2 + 5*y - 5. Let k = -1 + 6. Let t(u) = -u**5 - u**3 + u**2 - u + 1. Let d(m) = k*t(m) + i(m). Factor d(x).
2*x**3*(x + 1)*(5*x + 2)
Let t = -5 - 1. Let o = 8 + t. What is l in -6*l**2 + l + 3*l**2 - o + 4*l**2 = 0?
-2, 1
Let 136*h - 1156 - 3*h**2 - 2*h**2 + 9*h**2 - 8*h**2 = 0. Calculate h.
17
Let y(r) be the third derivative of -r**5/20 + r**4/4 + 9*r**2. Factor y(j).
-3*j*(j - 2)
Let i be 2 + (-6)/(6/(-2)). Let -4*a - 2*a**2 + a**5 + a**4 + 3*a + a**i = 0. What is a?
-1, 0, 1
Suppose 7*i**5 + i + 6*i - 16*i**4 - 16*i**2 - 56*i**3 + 5*i**5 + 5*i = 0. Calculate i.
-1, 0, 1/3, 3
Let j = -2/59 - 230/177. Let f = j - -2. Suppose -f*k**2 + 0 - 1/3*k - 1/3*k**3 = 0. Calculate k.
-1, 0
Let c = -7 - -7. Let v(h) be the third derivative of 0*h**3 + 0 - h**2 + 0*h**4 + 1/360*h**6 + 0*h**7 + 0*h - 1/1008*h**8 + c*h**5. Factor v(b).
-b**3*(b - 1)*(b + 1)/3
Let r(i) be the third derivative of -i**8/28 + 16*i**7/105 - 7*i**6/30 + 2*i**5/15 + 3*i**2. Factor r(t).
-4*t**2*(t - 1)**2*(3*t - 2)
Let i(f) be the first derivative of 4 - 81*f - 81/2*f**2 - 9*f**3 - 3/4*f**4. Let i(l) = 0. What is l?
-3
Let t(z) be the first derivative of z**6/3 + 8*z**5/5 + 2*z**4 - 4*z**3/3 - 5*z**2 - 4*z + 10. Solve t(h) = 0 for h.
-2, -1, 1
Let q