9, -2 = z + z + t. Let n be (-3)/((12/(-4))/6). Factor x**4 + z + 2*x - x**3 + 5*x**3 + 2*x + n*x**2.
(x + 1)**4
Let r(h) be the second derivative of -2*h**6/15 + h**5/5 + h**4/3 - 2*h**3/3 + 18*h. Find b, given that r(b) = 0.
-1, 0, 1
Suppose 0 = 3*k + 4*p + 2 + 18, -4*k + 3*p = -15. Let m(r) be the second derivative of k*r**2 + r + 0 + 0*r**3 + 1/25*r**5 - 1/30*r**4 - 1/75*r**6. Factor m(j).
-2*j**2*(j - 1)**2/5
Let p = 281 + -279. Factor 0*t - 2/7*t**4 + 0*t**3 + 0 + 2/7*t**p.
-2*t**2*(t - 1)*(t + 1)/7
Suppose 5*s - 15 = -0*s. Let t(c) be the first derivative of -1/5*c - 3/10*c**2 - 2 - 1/5*c**s - 1/20*c**4. Let t(v) = 0. Calculate v.
-1
Factor -4*f - 8*f**3 - 2*f**4 - 10*f**2 - 18 + 18.
-2*f*(f + 1)**2*(f + 2)
Let d(w) be the third derivative of 1/48*w**4 + 0*w**3 + 2*w**2 - 1/240*w**6 + 0 + 0*w + 0*w**5. Let d(g) = 0. Calculate g.
-1, 0, 1
Suppose 1/4*j**2 + 0 - 1/4*j**4 - 1/2*j**3 + 1/2*j = 0. What is j?
-2, -1, 0, 1
Let b be -1 - (2 + 1) - -6. Let m = -3/2 + 33/10. Suppose 6/5 + m*i + 3/5*i**b = 0. What is i?
-2, -1
Determine i, given that 35 + 2*i**2 - 4 + 83 - 16 + 28*i = 0.
-7
Let d(z) be the second derivative of z**4/72 - z**3/18 - 8*z. Factor d(v).
v*(v - 2)/6
Let g(w) be the first derivative of -w**6/720 - w**5/120 - 2*w**3/3 - 3. Let o(m) be the third derivative of g(m). What is z in o(z) = 0?
-2, 0
Let s(w) be the second derivative of 0 + 0*w**2 + 1/147*w**7 - 11*w + 2/21*w**4 + 3/35*w**5 + 4/105*w**6 + 1/21*w**3. Solve s(a) = 0.
-1, 0
Let n be -9 - 0*(-3)/(-6). Let v be n*((-4)/(-6) - 1). Solve -2*u**v - u**4 + 10*u - 10*u = 0.
-2, 0
Let x = 30 - 26. Factor -12/7*s**2 - 2/7*s**x - 2/7 + 8/7*s**3 + 8/7*s.
-2*(s - 1)**4/7
Let f = -367/3 - -123. Solve f*w**3 - 2/3*w**2 + 2/3 - 2/3*w = 0 for w.
-1, 1
Suppose d = -3*d + 8. Suppose d*j = 2*r - 8, 3*j = 3*r - j - 14. What is g in -2/5*g**r + 4/5*g - 2/5 = 0?
1
Let b(o) be the first derivative of -2/3*o**3 + o**2 - 1 - 1/2*o**4 + 2/5*o**5 + 0*o. Factor b(l).
2*l*(l - 1)**2*(l + 1)
Solve -3*p - 3*p**5 - 12*p**3 - 5*p + 20*p**2 + 7*p**5 - 4*p**4 = 0 for p.
-2, 0, 1
Factor 0 - 25/4*a**3 - 5*a**2 - a.
-a*(5*a + 2)**2/4
Suppose -5*c - 15 = 5*v, c + v + v + 4 = 0. Let w = 5 + c. Factor 0 - 1/2*q**w + 0*q - 5/2*q**4 - 2*q**5 + 0*q**2.
-q**3*(q + 1)*(4*q + 1)/2
Let b be 0/7 - (-4)/22. Determine j, given that -b*j**3 - 6/11*j**2 - 2/11 - 6/11*j = 0.
-1
Let l = 5 - 1. Let r(c) be the second derivative of 0 + 1/9*c**3 - 1/18*c**l + 2*c - 1/9*c**2 + 1/90*c**5. Determine f, given that r(f) = 0.
1
Let l = -13 + 4. Let i be 15/9 + (-3)/l. Let -36/5*v**i - 3/5*v**4 - 24/5*v + 0 - 18/5*v**3 = 0. Calculate v.
-2, 0
Find u such that -3/2 + 3/2*u - 3/8*u**3 + 3/8*u**2 = 0.
-2, 1, 2
Let q = -2/61 + 65/122. Let t be (-6)/(-28) - 4/(-14). Suppose t*a**4 - a - q + 0*a**2 + a**3 = 0. Calculate a.
-1, 1
Let z be 273/117 + (-1 - 2/(-3)). Let a(f) be the second derivative of -1/18*f**3 + 1/12*f**4 - 1/3*f**z + 2*f + 0. Let a(l) = 0. What is l?
-2/3, 1
Let n = 7 - 3. Let w(t) be the first derivative of -1/5*t**5 - 1 + 2/3*t**2 + 0*t + 13/12*t**n - 16/9*t**3. Factor w(v).
-v*(v - 2)**2*(3*v - 1)/3
Factor -64/3 - 4*w**2 + 16*w + 1/3*w**3.
(w - 4)**3/3
Suppose 9*v = 23 - 5. Let l(t) be the first derivative of -1/30*t**5 - 1/12*t**2 + 1/24*t**4 + 1/18*t**3 + v + 0*t. Let l(s) = 0. Calculate s.
-1, 0, 1
Let s be 2 + (-40)/8 + 14/4. Factor 0 - s*o - 1/2*o**2.
-o*(o + 1)/2
Factor -3 + 19*s + 11*s + 5*s**2 + 43.
5*(s + 2)*(s + 4)
Let w be -1 + 3 - (-23 - -21). Let k(h) be the second derivative of 0*h**2 + 1/24*h**w + h - 1/24*h**3 - 1/80*h**5 + 0. Factor k(x).
-x*(x - 1)**2/4
Let t(j) be the third derivative of -1/30*j**5 + 8*j**2 + 0 + 0*j**4 + 0*j + 1/3*j**3. Factor t(w).
-2*(w - 1)*(w + 1)
Suppose -4*n + x + 13 = 2, 3*n - 9 = x. Let m(l) be the first derivative of 0*l - 1 + 1/2*l**n - 1/3*l**3. Factor m(h).
-h*(h - 1)
Let b(a) be the second derivative of -a**7/840 + a**6/60 - 3*a**5/40 + 2*a**4/3 + a. Let i(h) be the third derivative of b(h). Solve i(w) = 0.
1, 3
Suppose 1/3*u**3 + 0*u**2 - 1/3*u + 0 = 0. Calculate u.
-1, 0, 1
Let m(p) be the first derivative of p**5/150 - 4*p**3/15 + 9*p**2/2 - 5. Let j(y) be the second derivative of m(y). Let j(b) = 0. What is b?
-2, 2
Suppose x = -q - 3, 0 = 2*q + q - 4*x + 16. Let g be 4*(14/q + 4). Factor -1/2*f**g + f - 1/2.
-(f - 1)**2/2
Factor -1/2 - h**2 - 9/4*h.
-(h + 2)*(4*h + 1)/4
Let i(z) be the first derivative of z**5/35 - z**3/21 - 6. Find t such that i(t) = 0.
-1, 0, 1
Factor -6/5*c**4 + 0 - 24/5*c**2 + 0*c + 24/5*c**3.
-6*c**2*(c - 2)**2/5
Let r(k) be the third derivative of -k**7/1400 + k**6/150 - 3*k**5/200 + 2*k**3/3 + 4*k**2. Let y(x) be the first derivative of r(x). Solve y(o) = 0 for o.
0, 1, 3
Let m(s) = -2*s**2. Let j(n) = 2*n**2 + n. Let w(x) = 6*j(x) + 5*m(x). Find u, given that w(u) = 0.
-3, 0
Let w(h) = 2*h**3 + h**2 + 2*h - 5. Let k(d) = 2*d**3 + 2*d - 4. Let o = 13 - 8. Suppose j - 16 = o*j. Let x(l) = j*w(l) + 5*k(l). Determine a so that x(a) = 0.
0, 1
Let q(a) = 7*a**3 + 31*a**2 + 13*a - 24. Let p(o) = -o**3 - 5*o**2 - 2*o + 4. Let v(u) = 39*p(u) + 6*q(u). Factor v(k).
3*(k - 2)**2*(k + 1)
Let y(h) be the third derivative of h**6/180 - h**5/45 + h**4/36 + 3*h**2. Solve y(j) = 0 for j.
0, 1
Let v(y) be the first derivative of -y**3/3 - 7*y**2/2 - 5*y + 2. Let i be v(-5). Factor -10*o**4 + 6*o**3 + 2*o**4 - 3*o**2 + i*o**2.
-2*o**2*(o - 1)*(4*o + 1)
Let c(q) = 2*q**4 + q**3 + q**2 - 1. Let z(p) = p**4 + p**2 - 1. Suppose -2*u + 0*n = -5*n - 27, -n = 5. Let h(i) = u*z(i) - c(i). Factor h(a).
-a**3*(a + 1)
Let h be (-2)/(-3) - 2/6. Let d(y) be the second derivative of 1/6*y**4 + 0 + 0*y**2 - 2*y - h*y**3. Factor d(u).
2*u*(u - 1)
Suppose 0 = 3*c + y - 13, 0 = -0*c - 4*c - y + 16. Let f(x) be the second derivative of 2*x + 0*x**2 + 0*x**c - 1/30*x**5 + 0 + 1/18*x**4. Factor f(o).
-2*o**2*(o - 1)/3
Let c(a) be the third derivative of 0 + 1/100*a**6 + 3*a**2 + 0*a**3 - 1/50*a**5 + 1/60*a**4 + 0*a - 1/525*a**7. Suppose c(t) = 0. What is t?
0, 1
Suppose 3*r - 10 = 3*u - 4*u, 0 = -4*r + u + 4. Let q(o) be the second derivative of o**r + 0 - o - 1/6*o**3 - 1/12*o**4. Let q(d) = 0. What is d?
-2, 1
Let l be (12/8)/(48/112). Factor -19/2*x**3 - 8*x + l*x**4 + 25/2*x**2 + 2 - 1/2*x**5.
-(x - 2)**2*(x - 1)**3/2
Let d be ((49/112)/7)/((-1)/(-6)). Determine h so that -3/8*h**2 - 1/8*h**3 - 1/8 - d*h = 0.
-1
Factor 2/5*h**2 - 4/5*h + 0.
2*h*(h - 2)/5
Let o(p) be the third derivative of 7*p**5/330 - 5*p**4/132 - 2*p**3/33 - 4*p**2. Factor o(g).
2*(g - 1)*(7*g + 2)/11
Factor 0 + 0*p**2 + 0*p + 6/7*p**3 - 3/7*p**4.
-3*p**3*(p - 2)/7
Let r = 20 - 22. Let j be r/2*(0 - 0). Suppose 1/4*y**2 - 1/4*y**5 + 0 + j*y - 1/4*y**4 + 1/4*y**3 = 0. Calculate y.
-1, 0, 1
Let v(z) = -4*z - 16. Let t be v(-4). Let b(r) be the second derivative of 0 + 1/12*r**4 + 0*r**3 - r + t*r**2. Factor b(o).
o**2
Solve 2/5*s**2 + 2/5*s - 2/5*s**3 - 2/5 = 0.
-1, 1
Let k(g) = g - 1. Let i(v) = v**2 + 2*v + 12. Let p(w) = i(w) + 4*k(w). Suppose p(u) = 0. What is u?
-4, -2
Let a(g) be the first derivative of 2*g**5/5 + 7*g**4/2 + 28*g**3/3 + 8*g**2 + 45. Solve a(r) = 0 for r.
-4, -2, -1, 0
Suppose d = -5*r + 62, 2*d = 5*r - 42 - 14. Suppose -b + 3*i = -1 + r, -4*i + 20 = 0. Let b*t - 8*t - 2 + 4*t**4 + 4*t**3 - 2*t**4 = 0. Calculate t.
-1, 1
Factor -2/11*p**5 - 2/11 + 4/11*p**2 - 2/11*p**4 + 4/11*p**3 - 2/11*p.
-2*(p - 1)**2*(p + 1)**3/11
Let m(x) = 11 + 2*x - 4*x**2 + 3*x**2 + 13*x - 12*x**2. Let p(d) = 7*d**2 - 8*d - 6. Let z(h) = -6*m(h) - 11*p(h). Factor z(t).
t*(t - 2)
Let h(k) be the third derivative of -k**7/420 - k**6/180 + k**5/60 + k**4/12 + k**3/2 - k**2. Let x(m) be the first derivative of h(m). Factor x(q).
-2*(q - 1)*(q + 1)**2
Suppose -p - u = -4, p = 6*u - 10*u + 16. Factor r**4 + p*r**2 + 0 + 0*r - 1/3*r**5 - 2/3*r**3.
-r**3*(r - 2)*(r - 1)/3
Suppose 0 - 2/9*n**5 + 0*n + 2/9*n**3 + 2/9*n**4 - 2/9*n**2 = 0. What is n?
-1, 0, 1
Let c = 2696 + -8162/3. Let g = c - -25. Factor -1/3*z**3 + 1/3 - 1/3*z**2 + g*z.
-(z - 1)*(z + 1)**2/3
Let f = -5 + 8. Find y such that 7/3*y**4 + 5/3*y**f + 2/3 - 5/3*y - 3*y**2 = 0.
-1, 2/7, 1
Let r(u) be the first derivative of -u - 1/4*u**4 - 3/2*u**2 - u**3 - 3. Solve r(s) = 0.
-1
Suppose 3*k = 9 - 0. Suppose k*z - 3 - 3 = 0. Factor q**3 + z*q**2 + 0*q**2 -