 Let f(x) be the first derivative of 0*x + 16/7*x**3 + 4/7*x**2 - 14/5*x**5 - 3 + 3/2*x**n. Factor f(y).
-2*y*(y - 1)*(7*y + 2)**2/7
Let y(n) be the second derivative of 1/20*n**5 + 0*n**2 + 1/10*n**6 + 0 - 1/4*n**4 - 1/21*n**7 + 1/6*n**3 + 4*n. Find f such that y(f) = 0.
-1, 0, 1/2, 1
Factor -2/23*k**2 + 0 + 4/23*k.
-2*k*(k - 2)/23
Let i(m) be the first derivative of 2/25*m**5 - 4/5*m**2 + 1 + 2/5*m**3 - 8/5*m + 2/5*m**4. Let i(n) = 0. Calculate n.
-2, -1, 1
Let s be 0 - 10*(-1420)/(-72). Let i = -197 - s. Solve -2/9 + 4/9*z - i*z**2 = 0.
1
Factor 0 - 1/5*a**3 + 0*a + 6/5*a**2.
-a**2*(a - 6)/5
Let b(s) be the third derivative of s**8/1176 - s**7/735 + 33*s**2. Let b(w) = 0. Calculate w.
0, 1
Suppose 2*c + 6 = -5*h, 2*c - h + 6 = -0*h. Let m be (2/35)/(c/(-15)). Suppose -4/7 + m*z**3 + 10/7*z - 8/7*z**2 = 0. What is z?
1, 2
Let j(u) = 2*u**2 + 3*u - 9. Let q be j(2). Let 0*k + 2/13*k**q - 2/13*k**3 + 0 + 0*k**2 + 0*k**4 = 0. Calculate k.
-1, 0, 1
Let j be 2/(-20)*(-4)/8*4. Let -j*t**2 + 3/5*t - 2/5 = 0. What is t?
1, 2
Let l(w) be the third derivative of w**5/60 - w**4/12 - 3*w**2. Factor l(o).
o*(o - 2)
Suppose -12*d = -6*d. Let 1/3*o**3 + d + 2/3*o**2 - 2/3*o**4 - 1/3*o**5 + 0*o = 0. Calculate o.
-2, -1, 0, 1
Let t(w) be the second derivative of -w**7/1260 + w**6/270 - w**5/180 + w**3/6 - 5*w. Let r(n) be the second derivative of t(n). Suppose r(i) = 0. What is i?
0, 1
Let j(c) be the first derivative of 9*c**5/10 + 3*c**4 - c**3/3 - 2*c**2 - 8*c - 5. Let w(n) be the first derivative of j(n). Find m, given that w(m) = 0.
-2, -1/3, 1/3
Let f be (-3 + -2)/((-2)/2). Let l = -1 + f. Suppose 0*u**2 + 1/4 + 1/2*u**3 - 1/2*u - 1/4*u**l = 0. What is u?
-1, 1
Suppose -x = -0*x - 4. Solve 2*a - 12*a**5 + 15*a**3 - 2*a**2 - 5*a + x*a**2 + 7*a**2 - 9*a**4 = 0 for a.
-1, 0, 1/4, 1
Factor 0 - 2/3*x - 2/3*x**4 - 2*x**2 - 2*x**3.
-2*x*(x + 1)**3/3
Let n(v) = -2*v**3 + 3*v**2 + 2*v + 2. Let o(z) be the first derivative of -1/2*z**4 + 2*z + 4/3*z**3 + z**2 - 1. Let k(j) = 6*n(j) - 5*o(j). Factor k(t).
-2*(t - 1)*(t + 1)**2
Determine o, given that 6*o**3 - 3*o**3 + 6*o**2 - 6 - 3*o + 0*o**2 = 0.
-2, -1, 1
Find m, given that 1/3*m**2 - 1/3*m - 2/3 = 0.
-1, 2
Let l(n) be the third derivative of 0 - 2*n**2 + 0*n**3 + 0*n**4 + 1/210*n**7 - 1/60*n**6 + 0*n + 1/60*n**5. Determine z, given that l(z) = 0.
0, 1
Let x(y) be the third derivative of 0*y**3 + 0 + 0*y**4 - 1/490*y**7 + 0*y - 3/280*y**6 + 5*y**2 - 1/70*y**5. Find m, given that x(m) = 0.
-2, -1, 0
Suppose 0 = -4*f - 2*g - 1 + 5, 4*f = 2*g + 20. Let c(w) be the first derivative of 2/5*w**5 + 2 + 0*w**4 + 0*w**2 - 2/3*w**f + 0*w. Factor c(r).
2*r**2*(r - 1)*(r + 1)
Let -1/6*z**3 - 2*z - z**2 - 4/3 = 0. Calculate z.
-2
Let r be (-2)/((2/(-5))/2). Let z be -2 - ((-28)/r - 0). Let -2/5*h**2 + z*h - 2/5 = 0. Calculate h.
1
Let i(m) be the third derivative of m**6/90 + m**5/15 - 2*m**4/9 - 64*m**2. Find p such that i(p) = 0.
-4, 0, 1
Let t(b) = -41*b**2 - 79*b - 24. Let q = 0 + 19. Let g(s) = -10*s**2 - 6 - q*s - 5*s + 0 + 4*s. Let a(c) = 26*g(c) - 6*t(c). Factor a(n).
-2*(n + 3)*(7*n + 2)
Let f(c) = 13*c**3 - 4*c**2 - 5*c - 5. Suppose -5 + 2 = d. Let a(t) = -6*t**3 + 2*t**2 + 3*t + 3. Let y(z) = d*f(z) - 5*a(z). Factor y(o).
-o**2*(9*o - 2)
Let l(a) = a**3 - 4*a**2 + 2*a - 6. Let h be 2*(-2 + 1 - -3). Let b be l(h). Determine c so that 14/5*c**b - 8/5 - 6/5*c**3 + 0*c = 0.
-2/3, 1, 2
Let s = 63 + -59. Let m(o) be the first derivative of 0*o - 1/7*o**2 + 0*o**3 - 3 + 1/14*o**s. Factor m(x).
2*x*(x - 1)*(x + 1)/7
Let k = 4 + 8. Factor 0*t**3 + k*t**2 + 2*t**5 + 18*t**3 - 28*t + 31*t + t**5 + 12*t**4.
3*t*(t + 1)**4
Let z(x) be the third derivative of x**5/60 + x**4/8 - 3*x**2. Factor z(r).
r*(r + 3)
Suppose 8 = -5*z + 23. Let m = -158 - -158. Factor 2/9*f**z + 0*f + m - 2/9*f**2.
2*f**2*(f - 1)/9
Determine y so that 0*y + 0 - 1/8*y**2 = 0.
0
Factor 5/2*w**2 + 3/2*w + 1/2*w**3 - 9/2.
(w - 1)*(w + 3)**2/2
Let m(a) = a**3 - 7*a**2 + 13*a - 1. Let g be m(4). Factor 3*c**g - 9/5*c**2 + 0 - 6/5*c.
3*c*(c - 1)*(5*c + 2)/5
Suppose 4*w + 23 + 15 = -5*g, -8 = 4*w. Let t be 3/g*4/(-5). Find r such that -t*r + 1/5 + 1/5*r**2 = 0.
1
Let o = -7 - -9. Let f(z) be the second derivative of 2*z - 1/6*z**3 - 1/3*z**o - 1/36*z**4 + 0. What is d in f(d) = 0?
-2, -1
Let h(z) be the second derivative of -3*z**5/20 + 3*z**3/2 + 3*z**2 + 20*z. Find s such that h(s) = 0.
-1, 2
Solve 2*c**5 - 4*c**3 + 28*c**2 + 5*c + 39 - 3*c - 14*c**4 - 53 = 0.
-1, 1, 7
Let a(x) be the third derivative of -x**8/84 + 2*x**6/15 + 2*x**2. Solve a(t) = 0.
-2, 0, 2
Determine z so that 1/2*z**2 + 0 - 1/2*z**3 - 1/2*z**4 + 1/2*z = 0.
-1, 0, 1
Let v(y) be the third derivative of 0*y**5 - y**2 - 1/9*y**3 - 1/90*y**6 + 0 + 1/18*y**4 + 0*y + 1/315*y**7. Factor v(b).
2*(b - 1)**3*(b + 1)/3
Let c(q) be the third derivative of 0*q**4 - 1/165*q**5 + 1/132*q**6 + 0 + 0*q**3 + 4*q**2 + 1/1848*q**8 - 4/1155*q**7 + 0*q. Factor c(p).
2*p**2*(p - 2)*(p - 1)**2/11
Find s such that 53*s**2 - 215*s**2 - 20 + 60*s + 97*s**2 + 30*s**3 - 5*s**4 = 0.
1, 2
Find s, given that -43*s + 140*s**3 + s + 36 - 56*s**2 + 6*s**5 - 40*s**3 - 44*s**4 = 0.
-2/3, 1, 3
Let z(d) be the third derivative of d**7/2310 - d**6/660 + d**4/132 + d**3/2 + 3*d**2. Let i(m) be the first derivative of z(m). Factor i(f).
2*(f - 1)**2*(2*f + 1)/11
Let i = -427/3 + 143. Factor 0*v - 4/3*v**2 + i*v**4 + 2/3*v**3 + 0.
2*v**2*(v - 1)*(v + 2)/3
Suppose -5*m = -10 - 0. Factor 0*q**5 + 9*q**4 - q**m + 0*q**5 - 9*q**3 + 4*q**2 - 3*q**5.
-3*q**2*(q - 1)**3
Suppose 3*l + 14 + 22 = 0. Let v be (2/l)/((-15)/20). Determine i, given that -4/9 + 2/9*i**2 - v*i = 0.
-1, 2
Suppose 4*s - 4*x - 60 = 0, x - 32 = -3*s + 1. Solve -s + 6*z**2 - 3*z**3 + 12 - 3*z = 0.
0, 1
Let n(s) be the third derivative of s**7/840 - s**6/480 - s**5/120 + 8*s**2. Find f such that n(f) = 0.
-1, 0, 2
Let y(o) = -31*o - 122. Let j be y(-4). Factor -2/5*r**3 + 1/5*r**4 + 1/5*r**j + 0*r + 0.
r**2*(r - 1)**2/5
Let p(b) be the second derivative of 1/3*b**3 + b - 1/3*b**4 - 1/10*b**5 + 2*b**2 + 0. Factor p(d).
-2*(d - 1)*(d + 1)*(d + 2)
Let o = -9 + 11. Solve -3 + o*w - 1/3*w**2 = 0.
3
Let c(l) = -l**3 - 5*l**2 - 5*l - 2. Let z be c(-4). Suppose -h + 3*h**3 + 94*h**4 - 95*h**4 - z*h**3 + h**2 = 0. What is h?
-1, 0, 1
Let k(x) be the second derivative of x**6/36 - 4*x**5/15 + x**4 - 16*x**3/9 + 4*x**2/3 - 8*x. Factor k(u).
(u - 2)**3*(5*u - 2)/6
Factor -6*l**3 + 0*l + 0 + 4/3*l**2.
-2*l**2*(9*l - 2)/3
Let x(w) be the second derivative of 10*w**7/63 + w**6/2 + w**5/6 - 10*w**4/9 - 5*w**3/3 - 5*w**2/6 - 3*w. Find v, given that x(v) = 0.
-1, -1/4, 1
Let y = 8 - 15/2. Solve -2 - 5/2*w**2 - y*w**3 - 4*w = 0.
-2, -1
Determine w, given that -3*w**2 - 3 - 18*w + 0*w**2 - 8 - 4 = 0.
-5, -1
Let j(p) be the first derivative of p**7/5040 + p**6/1080 - 2*p**3/3 - 1. Let c(f) be the third derivative of j(f). Factor c(x).
x**2*(x + 2)/6
Let b(r) be the second derivative of r**7/42 - 7*r**6/30 + 4*r**5/5 - 2*r**4/3 - 8*r**3/3 + 8*r**2 + 23*r. Factor b(w).
(w - 2)**4*(w + 1)
Let f(x) = -x**3 - 5*x**2 + 7*x + 7. Let g be f(-6). Let y be -1 - g - (-2 - 0). What is q in 1/2*q**2 - 1/2*q**4 - 1/2*q**5 + y*q + 1/2*q**3 + 0 = 0?
-1, 0, 1
Let x(u) be the first derivative of -u**8/840 + u**7/140 - u**6/60 + u**5/60 - u**3 - 2. Let g(q) be the third derivative of x(q). Factor g(r).
-2*r*(r - 1)**3
Let c(r) = 9*r**3 - r**2 + 2*r - 1. Let a be (2/(-1))/(0 - 2). Let b be c(a). Factor -3*n**4 - 3*n**3 + 7*n**2 + 3*n + 5*n**2 - b*n**2.
-3*n*(n - 1)*(n + 1)**2
Factor 0*v**4 + 0 + 4/7*v**3 - 2/7*v**5 - 2/7*v + 0*v**2.
-2*v*(v - 1)**2*(v + 1)**2/7
Factor 3 + 7 + 4*z**3 - 4*z - 10.
4*z*(z - 1)*(z + 1)
Let p(f) be the second derivative of -f**6/10 + f**4/4 + 28*f. Find k such that p(k) = 0.
-1, 0, 1
Solve -3/7*b**2 + 3/7*b - 3/7*b**3 + 3/7*b**4 + 0 = 0.
-1, 0, 1
Suppose z + 6 = -3*n, 0 = 3*z + 4*n + 7 - 4. Suppose -w**4 + w**2 - 15*w**3 - w + 14*w**z + 2*w = 0. Calculate w.
-1, 0, 1
Factor 2/3*p**3 + 32*p + 8*p**2 + 128/3.
2*(p + 4)**3/3
Let r(s) be the second derivative of 2*s**7/21 + 8*s**6/15 + s**5/5 - 10*s**4/3 - 8*s**3/3 + 16*s**2 - 8*s. Suppose r(m) = 0. Calculate m.
-2, 1
Let g be 5/(-4)*57/(-15). Let s = g - 13/4. Factor -1 + s*z + 5/2*z**2.
(z + 1)*(5*z - 2)/2
Solve 3*t - 1/2*t**2 - 