n - 3*n**4 - 10*n**j - 8*n**3 + n**4.
-n*(2*n + 1)**2*(3*n - 1)
Let a(r) = r + 2. Let g(k) = -2*k**3 - 16*k**2 - 30*k - 20. Let b(j) = -4*a(j) - g(j). Solve b(y) = 0 for y.
-6, -1
Let y = -27 - -29. Let v(f) be the second derivative of -1/3*f**3 + 0 - 1/24*f**4 - f**y - 2*f. Factor v(q).
-(q + 2)**2/2
Let l(a) be the second derivative of -1/3*a**3 + 1/10*a**5 - a**2 + 1/6*a**4 + 0 + 4*a. Determine k, given that l(k) = 0.
-1, 1
Suppose -3*s + 22 = 5*w, 3*s - 16 = -s. Factor -7*v**2 + 9*v**4 - 2*v - 4*v**2 + 7*v**5 - 5*v**3 + 2*v**w.
v*(v - 1)*(v + 1)**2*(7*v + 2)
Factor -45/4*l**3 - 195/4*l + 45/2 + 5/4*l**4 + 145/4*l**2.
5*(l - 3)**2*(l - 2)*(l - 1)/4
Let y(x) = 8*x**5 - 4*x**3 - 4*x**2 + 4. Let t(l) = -23*l**5 - l**4 + 12*l**3 + 12*l**2 - 11. Let d(o) = -4*t(o) - 11*y(o). Let d(c) = 0. Calculate c.
-1, 0, 1
Factor 0*b - 3/8*b**4 - 1/8*b**5 + 0 + 0*b**3 + 0*b**2.
-b**4*(b + 3)/8
Let g(t) = t**3 - 10*t**2 + 9*t + 4. Let i be g(9). Suppose i*u - 6 = 6. Factor 12*y**2 + y**u - 11*y**2 + 0 + 0 - 1 - y.
(y - 1)*(y + 1)**2
Suppose 6 = 2*b, -c - 2*b = -0*b - 8. Let z(r) = -r**3 + 12*r**2 - r + 14. Let j be z(12). Let -u - c*u**3 + 0*u + u**j + 2*u = 0. Calculate u.
-1/2, 0, 1
Suppose 0*j + 2*j = 8. Suppose 0 = -2*a - 4*b, -j*b = -a + 4*a. Factor -2/3*c**2 + c**3 + 0*c + a.
c**2*(3*c - 2)/3
Let f(z) be the first derivative of -z**4/4 + 2*z**3 - 9*z**2/2 - 41. Solve f(s) = 0 for s.
0, 3
Let s(g) be the first derivative of 2*g**7/21 + g**6/15 + g**5/80 + 3*g + 1. Let t(j) be the first derivative of s(j). Let t(v) = 0. What is v?
-1/4, 0
Let k = 1533/10 + -153. Let a = k - -13/90. Factor a*v + 2/3*v**2 - 2/9.
2*(v + 1)*(3*v - 1)/9
Find m, given that -8/9 + 2/3*m**2 + 2/9*m**4 + 8/9*m**3 - 8/9*m = 0.
-2, -1, 1
Factor 6*f**3 + 2*f**2 + 0*f**4 - 5*f**2 - 3*f**4.
-3*f**2*(f - 1)**2
Let y(z) be the second derivative of z**5/20 - z**4/4 + 23*z. Solve y(h) = 0.
0, 3
Let r(t) = 9*t**3 + 9*t - 6. Let f(l) = -l**3 + 1. Let z(k) = -k**3 - 8*k**2 + k + 7. Let q be z(-8). Let w(x) = q*r(x) - 12*f(x). Find u, given that w(u) = 0.
-1, 2
Let l = 124 - 124. Determine z so that l - 1/4*z - 1/4*z**2 = 0.
-1, 0
Let t be 727/(-480)*-2 + -3. Let j(y) be the third derivative of 3*y**2 - 1/210*y**7 + 0 + 5/48*y**4 - 1/12*y**3 + 0*y + t*y**6 - 3/40*y**5. Factor j(r).
-(r - 1)**3*(2*r - 1)/2
Let p(g) be the first derivative of g**6/24 + g**5/20 - 3*g**4/16 - 5*g**3/12 - g**2/4 - 1. Factor p(h).
h*(h - 2)*(h + 1)**3/4
Factor -1936*k**2 - 85184/3*k - 2/3*k**4 - 468512/3 - 176/3*k**3.
-2*(k + 22)**4/3
Let m(i) be the third derivative of 1/540*i**6 + 0 - 1/54*i**4 - 3*i**2 - 1/270*i**5 + 0*i + 0*i**3. Factor m(t).
2*t*(t - 2)*(t + 1)/9
Let l = 10 - 6. Factor -k**5 + 3*k**3 + 8*k**4 + 0*k**3 - 2*k**4 + l*k**5.
3*k**3*(k + 1)**2
Let h be (-1 - (-1)/2)*2. Let t = 5 + h. Determine b, given that 0*b + 0 + 1/4*b**t + 1/4*b**2 - 1/2*b**3 = 0.
0, 1
Let f(v) be the second derivative of -v + 1/24*v**4 - 1/18*v**3 + 0*v**2 - 1/120*v**5 + 0. Solve f(x) = 0 for x.
0, 1, 2
Let l be 1*(-1 + (6 - 2)). Let z(s) be the first derivative of -1/2*s**2 - s - 1/12*s**l - 2. Determine t, given that z(t) = 0.
-2
Solve 4*n + 0*n**2 + 3*n**2 + 0*n + 2*n = 0 for n.
-2, 0
Suppose 2/7*o + 2/7*o**3 + 4/7*o**2 + 0 = 0. Calculate o.
-1, 0
Let u(a) be the third derivative of -4*a**2 + 0 + 0*a - 1/36*a**4 + 1/18*a**3 + 1/180*a**5. Factor u(t).
(t - 1)**2/3
Let z(y) be the first derivative of y**5/15 - y**4/12 - y**3/9 + y**2/6 - 3. Factor z(c).
c*(c - 1)**2*(c + 1)/3
Let s(y) be the second derivative of -y**4/66 - 5*y**3/33 + 6*y**2/11 + 23*y. Find t, given that s(t) = 0.
-6, 1
Let -245/2*c + 15 + 340*c**2 + 70*c**5 - 705/2*c**3 + 50*c**4 = 0. What is c?
-3, 2/7, 1/2, 1
Determine h, given that 22*h - 6*h + 20 - h**2 - h**2 - 2*h**2 = 0.
-1, 5
Let m = 2 + -6. Let b(o) = 1 + 2 + 2*o - o**2 - 6. Let j(p) = 1. Let c(s) = m*j(s) - 2*b(s). Factor c(z).
2*(z - 1)**2
Let k be (2 - 16/6)*-6. Factor 0*b**5 - b**2 - b**2 - 2*b**5 + 0*b**4 + 2*b**k + 2*b**3.
-2*b**2*(b - 1)**2*(b + 1)
Let w**3 + 4*w**2 + 0*w + 4*w - 2*w - 7*w**2 = 0. What is w?
0, 1, 2
Let t(u) be the second derivative of -u**9/3780 - u**8/840 - u**4/2 - 2*u. Let d(c) be the third derivative of t(c). Find y such that d(y) = 0.
-2, 0
Let l(p) be the third derivative of -p**5/300 - p**4/120 + p**3/15 + 9*p**2. Factor l(m).
-(m - 1)*(m + 2)/5
Let n = 68 - 203/3. Find z such that 4/3*z**2 + n*z**5 + 2*z**3 + 1/3*z + 0 + 4/3*z**4 = 0.
-1, 0
Let j = -25/2 + 13. Factor m**2 - 1/2*m**3 + 0 - j*m.
-m*(m - 1)**2/2
Suppose 8*q - 3*q - 17 = -4*h, 2*h - q - 5 = 0. Factor -2*j**2 + h + 4*j - 1 + 4*j**2.
2*(j + 1)**2
Let k(v) = 81*v**3 + 177*v**2 - 15*v - 144. Let n(c) = 5*c**3 + 11*c**2 - c - 9. Let w(g) = -2*k(g) + 33*n(g). Find x such that w(x) = 0.
-3, -1, 1
Suppose 4*x + 36 - 44 = 0. Determine t, given that 0*t**x + 1/3*t**3 + 0*t + 0 = 0.
0
Let z(q) be the third derivative of -1/12*q**5 - 1/3*q**4 + 0 + 2*q**2 - 5/6*q**3 + 0*q. Let g(i) = i**2 + 2*i + 1. Let s(n) = 9*g(n) + 2*z(n). Factor s(d).
-(d - 1)**2
Suppose -x = -3*w + x + 32, -5*w = -5*x - 50. Let v be 8/w + 21/(-45). Factor -1/5*r**3 + 0 + v*r - 3/5*r**2 + 3/5*r**4.
r*(r - 1)*(r + 1)*(3*r - 1)/5
Let q = 899/5 + -179. Find i, given that 4/5 + 1/5*i**2 - q*i = 0.
2
Suppose -2*i = -2, -4*i + 23 = 4*k - 9. Factor -k*y**2 + y**2 + 5*y**2 + 1.
-(y - 1)*(y + 1)
Let h(d) = -2*d**3 + 5*d**2 + 7. Let z(o) = 6*o**3 - 2*o**2 - 8. Let v(c) = -c**3 + 1. Let i(x) = 5*v(x) + z(x). Let f(r) = 3*h(r) + 7*i(r). Factor f(a).
a**2*(a + 1)
Let x = -24 - -36. Let o = x - 8. Solve 2*r**o - 3*r**5 + r**5 + 0*r**5 + r**2 - 3*r**2 + 2*r**3 = 0 for r.
-1, 0, 1
Let o(k) be the first derivative of 0*k**5 - 1/720*k**6 + 0*k + 0*k**4 + 0*k**2 - 2 + 1/3*k**3. Let z(c) be the third derivative of o(c). Factor z(m).
-m**2/2
Let l = -298/3 + 100. Factor -s**3 - 7/3*s - 8/3*s**2 - l.
-(s + 1)**2*(3*s + 2)/3
Let z(y) be the first derivative of 0*y - 1/12*y**4 - 3 + 0*y**3 + 0*y**2. Solve z(h) = 0 for h.
0
Let n(h) = -h**5 - 1. Let k(x) = -10*x**5 - x**4 + 5*x**3 + x**2 - 8*x - 5. Let a(l) = -4*k(l) + 36*n(l). Factor a(g).
4*(g - 1)**3*(g + 2)**2
Let f(w) = -w**3 + 65*w**2 - 67*w + 192. Let o be f(64). Find c, given that 1/4*c**5 + 0*c + o + 1/4*c**4 + 0*c**2 + 0*c**3 = 0.
-1, 0
Let f = -8/13 + 93/130. Let m(y) be the third derivative of -f*y**5 + 1/5*y**6 - 1/15*y**7 - y**2 + 0 + 0*y + 0*y**3 - 1/6*y**4. Find v, given that m(v) = 0.
-2/7, 0, 1
Factor 2433*p**2 - 2436*p**2 - 7 + 27*p - 17.
-3*(p - 8)*(p - 1)
Let q(f) be the third derivative of f**5/180 + f**4/24 + f**3/9 - 10*f**2. Factor q(l).
(l + 1)*(l + 2)/3
Let m be (-1)/((-14)/(-15) + -1). Suppose 4*x = -5*y + 1, 0 = 7*y - 2*y + m. Factor -2*v - x*v**2 - v + 5*v + 2*v**3.
2*v*(v - 1)**2
Suppose -2*w = 2*w. Suppose w*g + 3 = 4*g + j, 5*j + 21 = -2*g. Solve 3*r - 3*r + r**g - r = 0.
0, 1
Let c = 16 - 16. Let y(s) be the third derivative of 0*s**3 + c + 2*s**2 + 0*s + 0*s**4 - 1/120*s**5. Factor y(d).
-d**2/2
Let t be (2 - -4)/((-2)/(-2)). Let o(b) be the third derivative of 1/105*b**7 + 3*b**2 + 0*b + 0*b**3 + 1/12*b**4 - 1/60*b**t + 0 - 1/30*b**5. Factor o(c).
2*c*(c - 1)**2*(c + 1)
Let w(f) be the first derivative of 0*f**5 - 1 - 2/3*f**3 + 0*f + 1/900*f**6 + 0*f**2 - 1/60*f**4. Let z(j) be the third derivative of w(j). Factor z(t).
2*(t - 1)*(t + 1)/5
Let n = 71585/56 - 9079/8. Let r = 144 - n. Suppose -r*m**3 + 2/7 - 4/7*m**2 + 2/7*m**5 + 2/7*m + 2/7*m**4 = 0. Calculate m.
-1, 1
Suppose -1/5*c - 1/5*c**3 + 0 + 2/5*c**2 = 0. Calculate c.
0, 1
Let z be (1/3)/(4/24). Let m(y) = -y + 5. Let n be m(0). Suppose 3*v + n + 2*v**z + v - 3 = 0. Calculate v.
-1
Let q(j) be the first derivative of -7*j**6/195 + j**5/5 - 10*j**4/39 - 8*j**3/39 + 4*j - 3. Let k(b) be the first derivative of q(b). Factor k(m).
-2*m*(m - 2)**2*(7*m + 2)/13
Let u be 17/2 - (-6)/12. Factor 0*v**4 - 3*v**4 + 3*v + 7*v**3 + u*v**3 - 7*v**3 - 9*v**2.
-3*v*(v - 1)**3
Let d be 3/(-6)*-1*1. Let t(j) = j**3 - 12*j**2 + 20*j + 2. Let k be t(10). Let 1 + 2*q**k + 5/2*q + d*q**3 = 0. What is q?
-2, -1
Let l(j) be the first derivative of -7/10*j**2 - 1/10*j**4 + 2/25*j**5 - 8/15*j**3 + 2 - 2/5*j + 1/30*j**6. Factor l(m).
(m - 2)*(m + 1)**4/5
Let m(f) be the second derivative of f**4/6 + 4*f**3/3 + 4*f**2 - 7*f. Factor m(w).
2*(w + 2)*