 - 4*d**2 + 3*d. Let h be o(3). Suppose h = p + 4*p - 25. Solve 2*w**3 - w**p - w + 0*w**3 + 0*w = 0.
-1, 0, 1
Let q(s) = s**2 + 4*s + 1. Let x be q(-3). Let v = x - -6. Let -2*c**5 + c**3 + c**5 - c**v - c**5 = 0. Calculate c.
-1, 0, 1/2
Let m(o) = -3*o**3 + 6*o**2 - 3*o - 2. Let s(d) = -48*d**3 + 96*d**2 - 48*d - 33. Let r(g) = -33*m(g) + 2*s(g). Determine z so that r(z) = 0.
0, 1
Factor 0*u**3 - 1/2*u**2 + 0 + 0*u + 1/2*u**4.
u**2*(u - 1)*(u + 1)/2
Let t(q) be the second derivative of q**4/20 - 3*q**3 + 135*q**2/2 - 28*q. Factor t(g).
3*(g - 15)**2/5
Factor 15*u - 6*u**2 - 37*u - u**3 + 14*u.
-u*(u + 2)*(u + 4)
Let k = 6756/29 + -233. Let o = 27/58 - k. What is t in 1/2*t**2 + 0*t - o = 0?
-1, 1
Let c(x) be the second derivative of x**4/3 + x**3/6 + 7*x**2/2 - 2*x. Let g(j) = -17*j**2 - 3*j - 29. Let k(i) = 26*c(i) + 6*g(i). Factor k(l).
2*(l + 2)**2
Let h(q) = q - 4. Let c be h(7). Let w(x) = -x**3 + 3*x**2 + 2*x - 4. Let l be w(c). Find g such that 0*g - 1/4*g**l + 0 - 1/4*g**3 = 0.
-1, 0
Let n(i) be the third derivative of 1/150*i**5 + 1/60*i**4 + 0*i**3 + 0*i + 0 + i**2. Suppose n(w) = 0. Calculate w.
-1, 0
Let z(x) be the first derivative of -4*x**5/5 - 7*x**4 - 24*x**3 - 40*x**2 - 32*x - 21. Factor z(l).
-4*(l + 1)*(l + 2)**3
Factor -3*j**3 + 0*j**4 - 4 - 3*j**5 + 4 + 6*j**4.
-3*j**3*(j - 1)**2
Let a be (-92)/48 + -3 + 3. Let x = -5/3 - a. Factor 1/2*s + 1/4 - 1/2*s**3 + 0*s**2 - x*s**4.
-(s - 1)*(s + 1)**3/4
Let a(s) be the second derivative of -s**4/12 - 5*s**3/6 - s. Let g be a(-4). Suppose g*u + u**2 - 5*u + 0*u**2 = 0. Calculate u.
0, 1
Factor -8/7*p + 6/7*p**3 + 8/7*p**2 + 0.
2*p*(p + 2)*(3*p - 2)/7
Let k(s) be the second derivative of s**4/12 - 7*s**3/6 + 2*s. Let z(i) = -3*i**2 + 27*i. Let r(y) = 9*k(y) + 2*z(y). Determine j so that r(j) = 0.
0, 3
Factor 9/4*l - 3/4*l**3 + 3/2*l**2 + 0.
-3*l*(l - 3)*(l + 1)/4
Suppose -2*j**2 + 0 - 2 + 16*j - 20*j = 0. Calculate j.
-1
Let c(o) = -4*o**2 + 3*o**2 + 0*o - 5*o + 2. Let z be c(-5). Find u, given that -2/3*u + 0 + 8/3*u**3 + 4/3*u**4 - 4/3*u**2 - z*u**5 = 0.
-1, -1/3, 0, 1
Let p(o) be the second derivative of 1/30*o**5 + 0*o**4 + 0 + 0*o**2 - 1/9*o**3 - 6*o. Factor p(c).
2*c*(c - 1)*(c + 1)/3
Let m = 17/30 - -21/10. Let -m - 1/3*z**3 - 4*z - 2*z**2 = 0. Calculate z.
-2
Let s(g) be the second derivative of -2/3*g**4 - 2*g**5 + 0 + g - 5/3*g**6 + 0*g**2 + 0*g**3. Factor s(q).
-2*q**2*(5*q + 2)**2
Suppose -5*g + 2 + 3 = 0. Let a be 0 - 2 - g - -3. Factor a - 1/2*l + 3/2*l**2 - 3/2*l**3 + 1/2*l**4.
l*(l - 1)**3/2
Let i(r) be the second derivative of -r**5/20 - r**4/4 - r**3/3 + 53*r. Suppose i(n) = 0. Calculate n.
-2, -1, 0
Let m = 17 - 15. Factor -x**2 - 13*x**2 - 12*x**3 - 4*x**4 + 6*x**m.
-4*x**2*(x + 1)*(x + 2)
Let z(h) be the second derivative of -h**7/399 + 2*h**6/285 - h**5/190 + 2*h. Factor z(t).
-2*t**3*(t - 1)**2/19
Let m be (-6)/10 + (-26)/(-10). Suppose -2*z + 12 = -3*k, -z + 5*k - 3 = -23. Suppose z*y + y + y**m + 0*y = 0. What is y?
-1, 0
Let z = 31/12 - 13/12. Factor -z*d + 1/4*d**2 + 9/4.
(d - 3)**2/4
Let t be 2/(-10) + 28/(-1050)*-20. Factor 4/3*p + 2*p**2 + 4/3*p**3 + 1/3 + t*p**4.
(p + 1)**4/3
Let y(w) = 20*w**2 + w. Let z be y(-1). Let i = -6 + 12. Let 6*t - 5*t**2 + 6*t - 4 + 4*t - i*t**3 - z*t**3 = 0. What is t?
-1, 2/5
Let g(v) be the third derivative of 7/90*v**6 + 0 - 5/36*v**4 + 0*v - 1/56*v**8 - 1/105*v**7 + 3*v**2 + 1/9*v**3 + 1/45*v**5. Find m, given that g(m) = 0.
-1, 1/3, 1
Suppose -4*d = 0, 7 = 4*l - d - 17. Suppose 0 = 3*x - 2*q - l, -4*x + 6 + 2 = 5*q. Determine g so that -g**5 + 7*g**4 - 2*g**5 + g**x - 3*g**3 - 2*g**3 = 0.
0, 1/3, 1
Let o = -1 + 4. Let q = 3 - o. Factor 1/2*g**3 + 1/2*g**2 + q + 0*g.
g**2*(g + 1)/2
Suppose f - s = 3 + 6, s = -f - 1. Suppose -c + 5 = -d, -f*c - 3*d - 2 = -1. Factor 3/2*j**3 - j**c + 0 + 0*j - 1/2*j**4.
-j**2*(j - 2)*(j - 1)/2
Let y = -105 - -423/4. Let 21/4*d**2 - 1/2 + 21/4*d**4 - y*d + 43/4*d**3 = 0. What is d?
-1, -1/3, 2/7
Let y(n) be the third derivative of 0*n**4 + 0*n + n**2 - 1/60*n**6 + 2/105*n**7 + 0*n**3 + 0 - 1/30*n**5. Factor y(c).
2*c**2*(c - 1)*(2*c + 1)
Let x(w) be the third derivative of -w**6/30 + 4*w**5/15 - w**4/2 - 9*w**2. Factor x(h).
-4*h*(h - 3)*(h - 1)
Let h(i) be the third derivative of i**8/560 - i**6/50 - i**5/50 + 3*i**4/40 + i**3/5 + 8*i**2. Find z, given that h(z) = 0.
-1, 1, 2
Let n(j) be the first derivative of -3/8*j**4 - 3/10*j**5 + j**3 + 0*j - 7 + 0*j**2. Let n(m) = 0. Calculate m.
-2, 0, 1
Let b(p) be the second derivative of -p**6/120 + p**5/40 - p**4/48 + 3*p + 5. Factor b(m).
-m**2*(m - 1)**2/4
Solve -9 - 4*o - 6 + 11 + 4*o**3 + 4*o**2 = 0.
-1, 1
Suppose 2*z - 12 = -k, 3*z = k + 3*k + 7. Suppose 0*l - 3*l + 12 = 0. Find s, given that 3*s**4 - 5*s**4 - 2 + 2*s + l*s**2 - s**3 - 3*s**3 + k*s**5 = 0.
-1, 1
Let z(d) be the second derivative of d**5/50 - d**4/30 + 12*d. Factor z(u).
2*u**2*(u - 1)/5
Let j be (2/(-4))/(2/(-32)). Suppose -2*v - 2*v = -j. Determine a so that 6/7*a**v + 0 + 2/7*a = 0.
-1/3, 0
Let g(n) be the third derivative of -n**8/112 - n**7/14 - 3*n**6/40 + 9*n**5/20 + 10*n**2. Let g(s) = 0. Calculate s.
-3, 0, 1
Let v be (16/10)/((-8)/(-20)). Suppose 0 = -g - v*g + 10. Factor 0 - 2/7*f**3 + 0*f + 4/7*f**g.
-2*f**2*(f - 2)/7
Let o(x) = -x**3 - 14*x**2 - 11*x + 30. Let b be o(-13). Let d(l) be the second derivative of 2*l**2 - l**3 + 0 + 1/6*l**b - l. Let d(f) = 0. Calculate f.
1, 2
Find z, given that -16*z**2 + 16/5*z - 20*z**5 + 84/5*z**3 + 16*z**4 + 0 = 0.
-1, 0, 2/5, 1
Factor -2*x**4 + 0*x**3 + 4*x**3 + x**4 + 11 - 7 - 4*x - 3*x**2.
-(x - 2)**2*(x - 1)*(x + 1)
Let i(n) be the first derivative of 4*n**3/3 + 6*n**2 + 5. Solve i(k) = 0.
-3, 0
Let l = 55/133 - -3/19. Suppose -2/7*h**2 - 2/7 + l*h = 0. Calculate h.
1
Let y(v) be the first derivative of -v**6/9 - 4*v**5/5 - 2*v**4 - 20*v**3/9 - v**2 - 17. Suppose y(g) = 0. Calculate g.
-3, -1, 0
Determine h, given that 3*h + 12*h - 30 + 18 - 3*h**2 = 0.
1, 4
Let x(a) be the third derivative of a**10/75600 - a**8/5040 + a**6/360 + a**5/30 - 3*a**2. Let s(d) be the third derivative of x(d). What is r in s(r) = 0?
-1, 1
Factor -1/3*f**2 + 1/3*f**3 + 0 + 0*f.
f**2*(f - 1)/3
Let a be (-8)/(-10)*(-20)/(-8). Let h be 1/(a - 5/3). Suppose 2*b**4 - 6*b**3 + h*b**4 + 2*b**2 - b**3 = 0. What is b?
0, 2/5, 1
Let j(g) = 5*g**2 - 4. Let a(n) = -9*n**2 + n + 7. Let s(i) = -4*a(i) - 7*j(i). What is h in s(h) = 0?
0, 4
Let u be (-16)/5 + 4 + 0. Factor -2/5*d + 26/5*d**3 + u - 18/5*d**2 - 2*d**4.
-2*(d - 1)**3*(5*d + 2)/5
Factor -2*r + 3/2*r**3 + 0 + 1/2*r**5 + 2*r**2 - 2*r**4.
r*(r - 2)**2*(r - 1)*(r + 1)/2
Let l be (1 - 4)*3/9. Let u(k) = -2*k**3 - 2*k**2 + 2*k + 2. Let v(a) = -a**3 + a. Let y(f) = l*u(f) + 4*v(f). Factor y(x).
-2*(x - 1)**2*(x + 1)
What is x in 5*x - 25/2 - 1/2*x**2 = 0?
5
Let i be (-2)/1 - (-1 - 1). Determine o so that i*o**3 - 3*o**3 + 4*o**2 + 8*o - o**3 = 0.
-1, 0, 2
Let h = 47/8 + -11/8. Factor h - 6*x + 3/2*x**2.
3*(x - 3)*(x - 1)/2
Let v(x) be the first derivative of -2/15*x**3 - 1/10*x**4 + 0*x + 1/5*x**2 - 3 + 2/25*x**5. Find b such that v(b) = 0.
-1, 0, 1
Let -9/4*d**3 + 9/4*d - 3/2 + 3/4*d**2 + 3/4*d**4 = 0. What is d?
-1, 1, 2
Let b(n) = n**2 - 18*n + 17. Let y be b(17). Factor 9/2*x**4 + 0 + 3/2*x**2 + 9/2*x**3 + y*x + 3/2*x**5.
3*x**2*(x + 1)**3/2
Let z(m) be the second derivative of -2*m**5/25 + 7*m**4/30 - 2*m**3/15 - m**2/5 - 5*m. Factor z(n).
-2*(n - 1)**2*(4*n + 1)/5
Let r(v) be the first derivative of -v**4/8 - 2*v**3/3 - 16. Determine x, given that r(x) = 0.
-4, 0
Let f(w) = 7*w**4 - w**2 + 4*w - 5. Let s(g) = 7*g**4 + 4*g - 4 + 7*g**4 - 8*g**4 - 2*g**2. Let k(t) = -4*f(t) + 5*s(t). Determine i, given that k(i) = 0.
-2, 0, 1
Let g(d) be the second derivative of -1/50*d**5 - 4/75*d**6 + 1/15*d**3 + 2*d + 0*d**2 + 2/15*d**4 + 0. What is y in g(y) = 0?
-1, -1/4, 0, 1
Suppose 0 = -5*g - 2*s + 44, 4*g + 4*s - 20 - 20 = 0. Find u, given that -3*u + g*u**3 + 4*u**5 + 3*u + 12*u**4 + 0*u = 0.
-2, -1, 0
Let g(b) = 3*b**2 + 3*b + 4. Let q be g(3). Suppose -23*j**2 + q*j**2 + 1 - 18*j**2 = 0. Calculate j.
-1, 1
Let j(x) = -52*x**3 + 352*x**2 - 473*x + 187. Let w(i) = 35*i**3 - 235*i**2 + 315*i - 125. Let k(p) = 5*j(p) + 7*w(p). Find s, given that k(s) = 0.
2/3, 1, 6
Suppose -3*x + 20 = 2*x. Let c be x/2