+ n**4.
-n*(n - 1)**4/4
Suppose -c = -3*c + 10. Determine r, given that 4*r**5 - 3*r**4 + 2*r**4 - 5*r**c = 0.
-1, 0
Suppose -2*k - 1 = 1. Let s(o) = 5*o**4 + 5*o**3 + o**2 - 5*o + 6. Let c(j) = j**4 + j**3 - j + 1. Let i(f) = k*s(f) + 6*c(f). Factor i(y).
y*(y - 1)*(y + 1)**2
Let u(c) be the second derivative of -3*c - 1/70*c**5 + 0 - 1/21*c**3 - 1/21*c**4 + 0*c**2. Factor u(i).
-2*i*(i + 1)**2/7
Let c be (-27)/(-12) + 6/8. Suppose 0 - 2/3*s + 5/3*s**2 - 4/3*s**c + 1/3*s**4 = 0. Calculate s.
0, 1, 2
Let a(n) be the second derivative of n**5/40 - n**3/4 - n**2/2 + 11*n. Let a(y) = 0. Calculate y.
-1, 2
Let r(y) be the second derivative of 0*y**3 - 2*y + 1/2*y**4 + 0 - 1/2*y**2 + 1/10*y**6 - 2/5*y**5. Factor r(q).
(q - 1)**3*(3*q + 1)
Let g(f) be the third derivative of -1/45*f**5 + 0 + 2*f**2 + 0*f + 1/180*f**6 + 0*f**4 + 0*f**3. Factor g(l).
2*l**2*(l - 2)/3
Let l(x) be the second derivative of 3*x**5/140 + x**4/14 + x**3/14 - 16*x. What is m in l(m) = 0?
-1, 0
Let d(q) be the second derivative of -q**5/50 + q**4/15 - 2*q. Factor d(s).
-2*s**2*(s - 2)/5
Let d be (-13)/(-3) - (-4)/(-12). Let z be d/(-26) - (-84)/208. What is c in 0*c + 1/4*c**2 - 1/4*c**3 - 1/4*c**4 + z*c**5 + 0 = 0?
-1, 0, 1
Let f(q) be the first derivative of q**6/30 - q**5/25 - q**4/10 + 2*q**3/15 + q**2/10 - q/5 + 2. Let f(t) = 0. Calculate t.
-1, 1
Let l(w) be the first derivative of w**7/63 - 7*w**6/135 + w**5/18 - w**4/54 + w + 2. Let h(f) be the first derivative of l(f). Solve h(s) = 0.
0, 1/3, 1
Let j(w) be the first derivative of -4*w**5/5 + 4*w**3 - 4*w**2 + 3. Factor j(h).
-4*h*(h - 1)**2*(h + 2)
Let h(l) be the second derivative of 0 + 0*l**2 - 2*l + 1/48*l**4 - 1/40*l**5 + 1/24*l**3. Factor h(a).
-a*(a - 1)*(2*a + 1)/4
Let u = -1 + 3/2. Let v(s) be the first derivative of 4/3*s**3 + u*s**4 - 1 + s**2 + 0*s. Factor v(r).
2*r*(r + 1)**2
Suppose 2*j - 34 = -4*c, j + 3 = -4*c + 30. Suppose j = -4*y + 23. Solve 4/5*f + 0*f**2 + 2/5*f**y - 2/5 - 4/5*f**3 = 0 for f.
-1, 1
Let a(l) be the third derivative of -3*l**6/160 - l**5/80 + 3*l**4/32 + l**3/8 - 11*l**2. Factor a(g).
-3*(g - 1)*(g + 1)*(3*g + 1)/4
Let 22/7*d**2 - 22/7*d**4 + 2*d**3 + 0 - 18/7*d**5 + 4/7*d = 0. What is d?
-1, -2/9, 0, 1
Suppose -3*t + 9 + 0 = 0. Factor -400*b**t + 402*b**2 - 144*b - 2 + 18*b**2 + 18.
-4*(4*b - 1)*(5*b - 2)**2
Let v(z) be the first derivative of 2*z**3/33 + 2*z**2/11 - 1. What is w in v(w) = 0?
-2, 0
Let z = 6 - 15. Let r be 196/9 - 2/z. Let -33*j**2 + 37/2*j**3 - 4 + r*j - 7/2*j**4 = 0. What is j?
2/7, 1, 2
Let g(h) be the first derivative of -1/4*h**4 + 0*h + 1/3*h**3 - 1/6*h**2 + 1 + 1/15*h**5. Determine x, given that g(x) = 0.
0, 1
Let t(q) = -1 - 42*q + 53*q - 17*q**2 + 13*q**3 + q**4 - 4*q**2. Let j(r) = 4*r**4 + 64*r**3 - 104*r**2 + 56*r - 6. Let m(v) = -3*j(v) + 14*t(v). Factor m(d).
2*(d - 2)*(d - 1)**3
Let i(x) = -2*x**3 - 8*x**2 + 5*x + 8. Let u(t) = t**3 - t**2 + 1. Let f(n) = -i(n) + 3*u(n). Factor f(b).
5*(b - 1)*(b + 1)**2
Let o = 1706 + -168896/99. Let f = o - -301/198. Determine u so that -3*u - 1 - f*u**3 - 13/4*u**2 - 1/4*u**4 = 0.
-2, -1
Suppose -2*r + 21 = -0*r - 5*j, 3*j + 19 = 2*r. Let p(z) = -z**3 + 8*z**2 + 4*z + 5. Let m be p(r). Factor 126*d**2 + 8 - 49*d**3 - m*d - 5*d - 18*d.
-(d - 2)*(7*d - 2)**2
Let f(m) be the second derivative of -4*m**7/63 - 13*m**6/45 - m**5/2 - 7*m**4/18 - m**3/9 + 19*m. Factor f(b).
-2*b*(b + 1)**3*(4*b + 1)/3
Determine z, given that -2/13*z**4 - 2/13 + 4/13*z**2 - 2/13*z - 2/13*z**5 + 4/13*z**3 = 0.
-1, 1
Let o(p) be the third derivative of p**6/90 + p**5/15 + p**4/6 + 2*p**3/9 + 12*p**2. Factor o(v).
4*(v + 1)**3/3
Let l(i) be the third derivative of -i**8/840 - 4*i**7/525 - i**6/50 - 2*i**5/75 - i**4/60 - 8*i**2. Suppose l(p) = 0. Calculate p.
-1, 0
Let y be (28/350)/((-2)/(-10)). Find m such that 0*m**2 + 0*m**3 + 2/5*m**5 + 0 + 0*m + y*m**4 = 0.
-1, 0
Let i = -6 + 11. Suppose -5 = -5*b + i. Factor 5*k - 4*k - 2*k**b + k.
-2*k*(k - 1)
Let h(a) = -a. Let f(r) = -4*r**2 + 12*r - 4. Let z(c) = -f(c) - 4*h(c). Factor z(u).
4*(u - 1)**2
Let -g**3 + 3*g**3 - 2*g**2 + 10*g**2 - 4*g**3 = 0. What is g?
0, 4
Determine o so that 2*o**3 + 224*o - 364*o**2 + 210*o**3 - o**5 + 12*o**4 - 35*o**5 - 48 = 0.
-3, 2/3, 1
Let y(h) be the third derivative of -h**8/112 + h**7/210 + h**6/20 - h**5/30 - h**4/8 + h**3/6 - 5*h**2. Let y(r) = 0. Calculate r.
-1, 1/3, 1
Let q = -150 + 153. Let w(v) be the first derivative of -6/5*v**5 + 1/2*v**2 - 3 + 0*v - 7/4*v**4 + 0*v**q. Factor w(u).
-u*(u + 1)*(2*u + 1)*(3*u - 1)
Solve 1/4*b**4 + 0*b**2 - b + 0 + 3/4*b**3 = 0.
-2, 0, 1
Let c(n) be the first derivative of n**7/210 + n**6/60 + n**5/60 + n**2/2 - 2. Let t(x) be the second derivative of c(x). Suppose t(m) = 0. What is m?
-1, 0
Let u(i) = 15*i**3 - 15*i**2 - 8*i - 8. Let c(h) = 10*h**3 - 10*h**2 - 5*h - 5. Let p(b) = 8*c(b) - 5*u(b). Solve p(k) = 0.
0, 1
Let x(n) = -n**3 - 19*n**2 + 4*n. Let y(w) = 10*w**2 - 2*w. Let z(v) = 6*x(v) + 11*y(v). Factor z(a).
-2*a*(a + 1)*(3*a - 1)
Let u be (-237)/(-27) - (-8)/36. Solve 3*g**4 - 22*g**2 + u*g**3 + 3*g + 0*g + 31*g**2 = 0.
-1, 0
Let w(n) be the first derivative of -n**7/1400 - n**6/200 - 3*n**5/200 - n**4/40 - 2*n**3 + 5. Let a(x) be the third derivative of w(x). Factor a(o).
-3*(o + 1)**3/5
Let c(b) = -2*b**3 + 6*b**2 + 5*b - 5. Let m(r) = r - 1. Let s(d) = -c(d) + 5*m(d). Factor s(x).
2*x**2*(x - 3)
Let t(j) be the third derivative of -j**5/20 + j**4/4 - j**3/2 - 12*j**2. Determine z, given that t(z) = 0.
1
Let r(l) = -2*l**2 + 8*l + 3. Let s be r(4). Let u(b) be the third derivative of 1/120*b**5 + 1/12*b**4 + 0 + 0*b + 1/3*b**s + b**2. Factor u(o).
(o + 2)**2/2
Let t(l) be the third derivative of l**8/672 + l**7/140 + l**6/120 - l**5/60 - l**4/16 - l**3/12 + 7*l**2. Factor t(f).
(f - 1)*(f + 1)**4/2
Factor 19*d**2 + 2045 - 2045 + 5*d**3 - d**3 - 5*d.
d*(d + 5)*(4*d - 1)
Let m be (-1)/18 + 2/9. Determine x, given that 0 + m*x + 0*x**2 - 1/6*x**3 = 0.
-1, 0, 1
Let f(w) = w**5 + w**3 + w**2 + 1. Let d(o) = -8*o**5 - 2*o**4 - 2*o**3 - 6*o**2 - 6. Let u be 21/15 - (-6)/(-15). Let b(p) = u*d(p) + 6*f(p). Factor b(v).
-2*v**3*(v - 1)*(v + 2)
Factor 0 - 1/4*d**4 + 13/4*d**3 - 3*d**2 + 0*d.
-d**2*(d - 12)*(d - 1)/4
Let x(m) be the third derivative of -m**7/13860 + m**5/660 - m**4/8 + 3*m**2. Let u(w) be the second derivative of x(w). Factor u(k).
-2*(k - 1)*(k + 1)/11
Let r(y) = -3*y**3 - 4 - y - 6*y**2 + 2*y**3 + 0. Let t be r(-6). Find x such that -1/2*x**t + 0*x + 1/2 = 0.
-1, 1
Let y(g) be the first derivative of 3*g**4/4 - g**3 + 5. Factor y(l).
3*l**2*(l - 1)
Let m be 15/9*((-155)/(-25) + -6). Factor 8/3*a + 16/3*a**2 + m.
(4*a + 1)**2/3
Let x(r) be the third derivative of r**7/10080 + r**6/2880 + r**4/12 + 2*r**2. Let c(s) be the second derivative of x(s). Factor c(l).
l*(l + 1)/4
Let i(w) be the second derivative of -w**7/105 + 2*w**6/75 - w**4/15 + w**3/15 + 8*w. Factor i(g).
-2*g*(g - 1)**3*(g + 1)/5
Let s(y) be the third derivative of y**8/1512 + y**7/315 + y**6/270 - y**5/135 - y**4/36 - y**3/27 + 13*y**2. Suppose s(c) = 0. Calculate c.
-1, 1
Let 0 - 3/4*a**3 + 0*a**2 + 3/4*a = 0. What is a?
-1, 0, 1
Let t(k) = -k**2 - 6*k + 3. Suppose -19 = 3*h - 1. Let p be t(h). Factor m**p + 0 + 7/3*m**2 + 2/3*m.
m*(m + 2)*(3*m + 1)/3
Let w = -110 + 115. Let v(t) be the third derivative of -t**2 + 0*t**4 + 1/840*t**7 + 0*t**6 + 1/24*t**3 + 0*t + 0 - 1/120*t**w. Factor v(h).
(h - 1)**2*(h + 1)**2/4
Let p(f) be the third derivative of f**7/7560 + f**6/2160 - f**5/180 + f**4/6 - f**2. Let j(i) be the second derivative of p(i). Factor j(l).
(l - 1)*(l + 2)/3
Let l(y) be the third derivative of -y**8/560 + y**7/50 + y**6/200 - 7*y**5/100 + 24*y**2. Let l(s) = 0. What is s?
-1, 0, 1, 7
Let f(t) = t**4 + t**3 + t**2 - t. Let q(z) = -3*z**3 + 3*z**2 + 3*z + 3. Let c(a) = 3*f(a) - q(a). Determine r so that c(r) = 0.
-1, 1
Let l(x) be the second derivative of -x**6/165 - 3*x**5/110 + 3*x. Determine j, given that l(j) = 0.
-3, 0
Let y(c) be the third derivative of -c**6/30 - 2*c**5/15 - c**4/6 - 7*c**2. Factor y(x).
-4*x*(x + 1)**2
Let d be 2/(-32)*3*(-4)/60. Let t(h) be the third derivative of 1/24*h**3 - d*h**5 + 1/48*h**4 + 0*h + 0 - 3*h**2. Factor t(k).
-(k - 1)*(3*k + 1)/4
Suppose -5*g + 3*k - k + 16 = 0, 1 = 2*g + 