 - 1)**2*(2*o - 1)
Suppose 20 = 2*w + 2*w. Suppose w*m = -4*h + 37, 2*m + 3*m = -2*h + 31. Factor 10*v**3 - 4*v**2 - v**5 + 2*v**4 + 3*v**5 - 10*v**4 + 0*v**h.
2*v**2*(v - 2)*(v - 1)**2
Let v(n) be the first derivative of n**8/480 - n**7/140 - n**6/180 + 4*n**3/3 - 4. Let w(y) be the third derivative of v(y). Determine x so that w(x) = 0.
-2/7, 0, 2
Let n(d) = 11*d**4 - 9*d**3 + 21*d**2 - 11*d - 6. Let z(g) = -10*g**4 + 10*g**3 - 20*g**2 + 10*g + 5. Let x(m) = -5*n(m) - 6*z(m). Factor x(j).
5*j*(j - 1)**3
Let r(a) = 2*a**2 + 27*a + 18. Let n be r(-13). Let m be -2*(-1 - 4/(-5)). Determine g, given that 0 - 2/5*g**4 + 2/5*g**3 + 0*g + 2/5*g**2 - m*g**n = 0.
-1, 0, 1
Suppose 2*s + l - 37 = 0, 0 = -2*s + 6*l - 2*l + 32. Find w, given that s*w**2 - 21*w**4 + 3*w**2 + w**3 + 5*w**3 - 6*w = 0.
-1, 0, 2/7, 1
Let y be 6/(-9)*(-6)/4 + 1. Let o(j) be the third derivative of 0*j - 2/15*j**3 + y*j**2 + 0*j**4 + 49/300*j**5 + 0. Factor o(a).
(7*a - 2)*(7*a + 2)/5
Let j(h) be the first derivative of 0*h + 2 - 4/3*h**6 - 2/5*h**5 + 2/3*h**3 + 2*h**4 + 0*h**2. Solve j(o) = 0.
-1, -1/4, 0, 1
Find n such that 0 + 9/5*n + 1/5*n**4 + 7/5*n**3 + 3*n**2 = 0.
-3, -1, 0
Suppose -3*d - 11 = -5*m - 2*d, 5*m - 2*d = 12. Factor -1 - 2*n + n - 2*n - 3*n**m + 7*n.
-(n - 1)*(3*n - 1)
Let q(z) = -z**3 - 2*z**2 + 4*z - 4. Let t be 2*((-21)/(-6))/7. Let b(m) = m**2 - m + 1. Let c(p) = t*q(p) + 3*b(p). Factor c(j).
-(j - 1)**2*(j + 1)
Let u = 4204/5 + -839. Find o, given that 3/5*o**2 - u - 6/5*o = 0.
-1, 3
Suppose 5*v + 0*r - 2*r - 18 = 0, -3*r - 6 = 3*v. Find n, given that -2/7*n**3 - 2/7*n + 0 - 4/7*n**v = 0.
-1, 0
Let a = -15005/8 - -1878. Let g = a + -79/40. Factor 0*i - g*i**2 - 2/5*i**4 - 4/5*i**3 + 0.
-2*i**2*(i + 1)**2/5
Factor -t + t**3 - 4*t**4 + 0*t**2 + 3*t**4 + t**2 + 0*t**3.
-t*(t - 1)**2*(t + 1)
Let h = 11311/3 - 3650. Let y = h + -119. Find k, given that -2/3*k**2 - 2/3 - y*k = 0.
-1
Let v(x) = -3*x + 1. Let g(w) = w**2 + w. Let n = 4 - 5. Let k(r) = n*g(r) - v(r). Factor k(i).
-(i - 1)**2
Determine k so that -4*k**3 - k**2 + 7/4*k**5 + 0 - 5/4*k**4 + 0*k = 0.
-1, -2/7, 0, 2
Suppose 0 = -4*z + o + 13, z - 6*z = -2*o - 20. Suppose -4*b + 8 = -4*r, 3 - 11 = -z*r - b. Factor -4*u**3 + u**3 + 2*u**3 + u**r.
-u**2*(u - 1)
Let g be 0*(-2)/4*14/7. Let g + 2/5*w + 2/5*w**2 = 0. Calculate w.
-1, 0
Let z(w) be the first derivative of w**6/15 - w**5/10 + 2*w - 8. Let k(s) be the first derivative of z(s). Factor k(c).
2*c**3*(c - 1)
Factor -2*n**2 - 32/3 - 1/6*n**3 - 8*n.
-(n + 4)**3/6
Find z such that 32*z + 22*z**2 + 2*z**2 + 8*z**3 + 58*z**4 - 57*z**4 + 16 = 0.
-2
Suppose 3*x + 3*v - 3 = 0, 3*v + v = -4. Let z = 11 + x. Factor 6*k - 1 + z + 3*k**2 + 6*k.
3*(k + 2)**2
Factor 0 + 0*c - 2/19*c**2.
-2*c**2/19
Let h(r) be the second derivative of r**2 + 0 - 2*r + 1/180*r**5 + 2/9*r**3 - 1/18*r**4. Let s(i) be the first derivative of h(i). Determine z so that s(z) = 0.
2
Let o(y) be the third derivative of 2*y**7/315 - 2*y**6/45 + y**5/15 + 2*y**4/9 - 8*y**3/9 - 7*y**2. Solve o(s) = 0.
-1, 1, 2
Let t(z) = -3*z**2 - 4*z - 2. Let p(b) = -b**2 + 1. Let c = -10 - -9. Let u(s) = c*t(s) + 2*p(s). Suppose u(w) = 0. Calculate w.
-2
Let n(l) be the first derivative of -l**6/21 + 6*l**5/35 - 8*l**3/21 + 17. Factor n(i).
-2*i**2*(i - 2)**2*(i + 1)/7
Let s(r) be the first derivative of 4*r**5/5 - 4*r**4 + 4*r**3 + 8*r**2 - 16*r - 9. Determine d so that s(d) = 0.
-1, 1, 2
Let l(u) = -u**5 + 12*u**4 - 20*u**3 + 30*u**2 - 23*u + 2. Let p(w) = w**5 - 11*w**4 + 21*w**3 - 31*w**2 + 23*w - 3. Let j(y) = 3*l(y) + 4*p(y). Factor j(v).
(v - 3)*(v - 2)*(v - 1)**3
Let m = 3 - 8. Let b be m/(-15)*(5 - -1). Suppose 7*v**b - 11*v + 7*v**3 + 14*v**3 + v**2 + 2 = 0. What is v?
-1, 2/7, 1/3
Let d(r) = 2*r**5 + 20*r**4 + 18*r**3 + 18*r**2 + 18*r. Let u(f) = -f**4 - f**3 - f**2 - f. Let k(q) = -2*d(q) - 36*u(q). Factor k(g).
-4*g**4*(g + 1)
Let h be 2 + 0 - 43/27. Let r = h + -2/27. Factor 2/3*u**3 + u**4 - 1/3 - u - 2/3*u**2 + r*u**5.
(u - 1)*(u + 1)**4/3
Let p(o) be the first derivative of -4/3*o**3 - 7/2*o**5 + 13/3*o**4 + 2 + 2*o + 0*o**2 - 49/30*o**6. Let u(f) be the first derivative of p(f). Factor u(k).
-k*(k + 2)*(7*k - 2)**2
Let a be 68/42 - 1 - 13/39. Let i(s) be the first derivative of 1/14*s**4 - a*s + 2/21*s**3 - 1 - 1/7*s**2. Factor i(h).
2*(h - 1)*(h + 1)**2/7
Let b(f) be the first derivative of 0*f**2 - 4/21*f**3 + 1/14*f**4 + 0*f + 3. Factor b(u).
2*u**2*(u - 2)/7
Let n be ((-87)/(-9))/(14/2). Let h = 12/7 - n. Factor 0 + 1/3*y**2 - h*y**4 + 1/3*y**3 - 1/3*y.
-y*(y - 1)**2*(y + 1)/3
Let p(q) = -2*q - 5. Let n be p(-7). Let w(x) = -x**3 + 8*x**2 + 8*x + 9. Let v be w(n). Factor v*c - 2/9*c**2 + 2/9.
-2*(c - 1)*(c + 1)/9
Let h(d) be the first derivative of d**6/480 + d**5/80 + d**4/48 - d**2 - 2. Let v(r) be the second derivative of h(r). What is a in v(a) = 0?
-2, -1, 0
Let p(g) be the second derivative of g**5/240 - g**4/32 + g**3/12 - 3*g**2/2 - 5*g. Let w(n) be the first derivative of p(n). Factor w(a).
(a - 2)*(a - 1)/4
Factor 16 - 16 + 5*t**2.
5*t**2
Suppose 2*s + 20 = -0*s. Let j(g) = -10*g**3 + 20*g**2 - 2*g + 2. Let i(c) = 21*c**3 - 41*c**2 + 3*c - 5. Let h(x) = s*j(x) - 4*i(x). Factor h(k).
4*k*(k - 2)*(4*k - 1)
Let x(s) be the second derivative of -s**4/24 + s**2/4 + 10*s. Suppose x(c) = 0. What is c?
-1, 1
Find c, given that 2/7*c**3 + 8/7*c - 8/7*c**2 + 0 = 0.
0, 2
Let c be (-3 + 1 + 2)/(-2 + 3). Factor -1/6*g**4 + 1/6*g**2 - 1/6*g + c + 1/6*g**3.
-g*(g - 1)**2*(g + 1)/6
Let c be 38/(-57)*(-6)/16*7. Factor c*l**2 - 1/2 - 5/4*l.
(l - 1)*(7*l + 2)/4
Suppose -r = -3*v + 1, -4*r - 5 = 5*v + r. Let j(t) be the second derivative of v*t**2 + 0 + 1/9*t**4 + 1/30*t**5 + t + 1/9*t**3. Factor j(g).
2*g*(g + 1)**2/3
Suppose 1 - 10 = -3*s. Factor 0*n**2 - s*n**3 + n**4 + 7 - 1 - 9*n**2 + 3*n + 2*n**4.
3*(n - 2)*(n - 1)*(n + 1)**2
Let a(o) be the first derivative of -o**3/27 - o**2/6 + 4*o/9 - 28. Let a(n) = 0. What is n?
-4, 1
Let v be 2*3/99*-1. Let h = v + 76/165. Factor h*g**2 + 0*g + 0.
2*g**2/5
Let v(o) be the first derivative of -3*o**5/25 - 3*o**4/4 - 9*o**3/5 - 21*o**2/10 - 6*o/5 + 25. Solve v(t) = 0.
-2, -1
Suppose -3*u - 2*u = 0. Let 4*v**2 - 3*v + u*v**3 + v - 2*v**3 = 0. What is v?
0, 1
Let y(h) be the first derivative of -h**5/140 + h**4/28 - 2*h**2/7 + 6*h - 8. Let f(t) be the first derivative of y(t). Find r such that f(r) = 0.
-1, 2
Factor -8/3*t - 2/3*t**2 + 10/3.
-2*(t - 1)*(t + 5)/3
Suppose -7*z = 134 - 134. Factor 2/9*l + z - 2/9*l**2.
-2*l*(l - 1)/9
Let v(f) = -f**4 + f**2 + f - 1. Suppose -u + 3 - 2 = 0. Let s(o) = 2*o**4 + o**3 - 2*o**2 - 4*o + 3. Let r(q) = u*s(q) + 3*v(q). Find h, given that r(h) = 0.
-1, 0, 1
Let x be 27/(-12)*(-8 + 4). Suppose 6*s - 3*t = 3*s - x, 0 = 2*s - 4*t + 16. Solve -4*v**s - 13*v + 11*v + 5*v**2 = 0 for v.
0, 2
Let a(i) be the third derivative of 0 - 3*i**2 + 0*i**3 - 1/600*i**6 + 0*i**4 + 0*i + 0*i**5. Factor a(x).
-x**3/5
Let w(v) be the first derivative of v**7/210 - v**6/60 + v**5/60 + 3*v**2 + 6. Let z(h) be the second derivative of w(h). Factor z(f).
f**2*(f - 1)**2
Let w(p) be the first derivative of 1 - 2/9*p**3 + 0*p + 0*p**2. Solve w(d) = 0.
0
What is s in 827*s - 5*s**3 - 20 + 15*s**2 - 827*s = 0?
-1, 2
Let p(k) = -4*k - 24. Let n be p(-7). Let j(i) be the second derivative of 0 + 0*i**2 + 1/18*i**3 + 1/20*i**5 + 2*i + 1/12*i**n + 1/90*i**6. Factor j(v).
v*(v + 1)**3/3
Let f be (-21)/(-7) - (1 - 0). Let w be (-2 - -2)/(-1 + 3). Find b, given that -3/5*b + w*b**f + 1/5*b**3 + 2/5 = 0.
-2, 1
Let p(o) = -36*o**5 + 36*o**3 - 11*o**2 - 11*o - 11. Let s(j) = 7*j**5 - 7*j**3 + 2*j**2 + 2*j + 2. Let t(z) = -2*p(z) - 11*s(z). Suppose t(y) = 0. Calculate y.
-1, 0, 1
Let s(d) = -2*d**4 - 3*d**3 + 13*d**2 + 27*d + 8. Let c(v) = -2*v**4 - 2*v**3 + 14*v**2 + 26*v + 8. Let b(q) = -5*c(q) + 4*s(q). Let b(x) = 0. Calculate x.
-1, 4
Let r = 5/53 + 91/159. Factor -4/3*u - 2 + r*u**2.
2*(u - 3)*(u + 1)/3
Suppose 2*t - 7*t = 0. Let v(b) be the third derivative of b**2 + t*b + 0*b**4 + 1/180*b**5 + 0 - 1/18*b**3. Determine m so that v(m) = 0.
-1, 1
Factor 4*x + 1 + 4*x**2 - 12*x + 2 + 1.
4*(x - 1)**2
Suppose 2*z - 20 = -3*z + 2*h, 0 = z - 3*h - 17. Suppose 0 + 2/3*i**z - 4/3*i = 0. What is i?
0, 2
Suppose 5*o + 20 + 5 = 0. Let q be 8/(-10)*o/2. Fa