 z(o). Factor f(r).
-2*r**2*(r - 2)/5
Let r = 57/2 - 28. What is g in -3/2*g**3 + r*g**5 + 0 - g**4 + 2*g**2 + 2*g = 0?
-1, 0, 2
Let n(f) = 3*f**3 - 9*f**2 - 2*f - 5. Let l(o) be the second derivative of o**5/20 - o**4/3 - o**3/6 - o**2 + 2*o. Let a(u) = 5*l(u) - 2*n(u). Factor a(y).
-y*(y + 1)**2
Let k(g) be the third derivative of 3*g**7/350 + g**6/300 - 3*g**5/100 - g**4/60 + 12*g**2. Factor k(i).
i*(i - 1)*(i + 1)*(9*i + 2)/5
Let c(v) = 22*v**3 + 40*v**2 - 23*v - 3. Let m(k) = -45*k**3 - 80*k**2 + 45*k + 5. Let y(r) = 5*c(r) + 3*m(r). Factor y(n).
-5*n*(n + 2)*(5*n - 2)
Let y(v) be the third derivative of -6*v**2 + 1/80*v**5 + 0*v**6 + 0 - 1/840*v**7 + 1/48*v**4 + 0*v + 0*v**3. Factor y(d).
-d*(d - 2)*(d + 1)**2/4
Let a(j) be the second derivative of 4*j - 1/50*j**5 + 0 - 4/5*j**2 - 8/15*j**3 - 1/6*j**4. Factor a(r).
-2*(r + 1)*(r + 2)**2/5
Let w(h) be the second derivative of h**7/42 + h**6/15 + h**5/20 - 8*h. Solve w(v) = 0.
-1, 0
Let g = 1599/4 - 396. Factor 3/2*h**2 + g*h**5 + 0*h + 0 - 6*h**4 + 3/4*h**3.
3*h**2*(h - 1)**2*(5*h + 2)/4
Suppose -2*u - 6 = -l, -5*u = 5*l - 0*u - 45. Factor -l*w**2 + 2 - 2 + 9*w**2 + w.
w*(w + 1)
Let a(m) be the third derivative of m**8/47040 - m**7/5880 + 7*m**5/60 - 3*m**2. Let t(v) be the third derivative of a(v). Suppose t(y) = 0. Calculate y.
0, 2
Factor 3/7*a**2 + 48/7 + 24/7*a.
3*(a + 4)**2/7
Let w = -8 - -49/6. Suppose 0 + 1/6*k - w*k**2 = 0. What is k?
0, 1
Let t(i) be the first derivative of 0*i - 1/16*i**4 + 2 - 1/8*i**2 - 1/6*i**3. Factor t(x).
-x*(x + 1)**2/4
Let b be 78/(-9) + 2/(-6). Let d be (-6)/b*3 - -1. Let -8*i**2 + 343*i**5 - 4*i**4 - 63*i**4 - 227*i**4 + 84*i**d = 0. What is i?
0, 2/7
Let o(a) be the second derivative of -49*a**4/22 - 84*a**3/11 - 108*a**2/11 - 6*a. Factor o(n).
-6*(7*n + 6)**2/11
Let z = 45 - 48. Let o be -3 + (6 - (0 - z)). Suppose -2/5*d**3 + o*d - 2/5*d**2 + 0 = 0. Calculate d.
-1, 0
Let m = 883 + -883. What is j in 0*j**2 + 0*j**4 + m - 2/9*j**5 + 4/9*j**3 - 2/9*j = 0?
-1, 0, 1
Let y(g) be the first derivative of -14*g**3/9 - g**2/9 + 4*g/9 - 52. Solve y(k) = 0 for k.
-1/3, 2/7
Let f(l) be the first derivative of l**5/30 - l**4/3 + 4*l**3/3 + 7*l**2/2 + 9. Let t(h) be the second derivative of f(h). Suppose t(i) = 0. Calculate i.
2
Suppose 4*y + 2*w - 19 = -5, -14 = -y - 4*w. What is r in y*r - 5 + 4*r**2 + 4 + 0*r - 1 = 0?
-1, 1/2
Let o be 69/(-180)*-2 - 2/12. Let s(a) be the first derivative of -81/20*a**4 + 2 + 84/25*a**5 + 3/5*a**2 + 0*a - o*a**3. Let s(q) = 0. Calculate q.
-2/7, 0, 1/4, 1
Factor -5*s**3 + 0 - 20/3*s**2 - 5/3*s.
-5*s*(s + 1)*(3*s + 1)/3
Let q(b) be the second derivative of -3*b**5/140 + 5*b**4/28 - 4*b**3/7 + 6*b**2/7 - 3*b. Suppose q(t) = 0. Calculate t.
1, 2
Let v(i) = -7*i**4 + 5*i**3 + 9*i**2 - 32*i + 13. Let a(p) = 8*p**4 - 4*p**3 - 8*p**2 + 32*p - 12. Let m(q) = -3*a(q) - 4*v(q). Factor m(u).
4*(u - 2)*(u - 1)**2*(u + 2)
Let u(a) be the third derivative of a**7/2100 + a**6/450 + a**5/300 - a**3/3 - 2*a**2. Let l(p) be the first derivative of u(p). Factor l(v).
2*v*(v + 1)**2/5
Let f be (-312)/220 + 2 - 6/33. Factor -1/5*g**2 - f*g - 1/5.
-(g + 1)**2/5
Suppose 3/2*b**2 + 3*b + 0 = 0. What is b?
-2, 0
Let u(b) be the first derivative of -1 + 0*b**2 + 1/9*b**3 - 1/3*b. Factor u(k).
(k - 1)*(k + 1)/3
Let a(o) = -3 - 2*o - o**4 + 4*o**5 + 5*o**2 - 2 + 7*o + 2*o**4. Let x(k) = -2*k**5 - k**4 - 3*k**2 - 3*k + 3. Let j(c) = -3*a(c) - 5*x(c). Factor j(v).
-2*v**4*(v - 1)
Suppose -11*v - 2 = -12*v. Let p(c) be the first derivative of 7*c**4 + 17/2*c**2 - 2 - v*c - 43/3*c**3. Factor p(j).
(j - 1)*(4*j - 1)*(7*j - 2)
Let z(f) = f + 2. Let j be z(0). Factor -4*c**3 + j*c**4 - 2 + 4*c - 4*c + 4*c.
2*(c - 1)**3*(c + 1)
Let o = -9650 - -4545152/471. Let h = 1906/5181 - o. Determine g so that 6/11*g**5 - 4/11 + 6/11*g - 12/11*g**3 - h*g**4 + 8/11*g**2 = 0.
-1, 2/3, 1
Let u(q) be the first derivative of 2*q**5/5 + 2*q**4 + 4*q**3/3 - 4*q**2 - 6*q + 9. Suppose u(o) = 0. What is o?
-3, -1, 1
Let i be (2 + (-2)/4)*32/72. Suppose 2/3*d**5 - i*d**4 + 0 + 0*d**2 + 0*d + 0*d**3 = 0. Calculate d.
0, 1
Let o(t) = -6*t**3 + 5*t**2 + 8*t + 11. Let v(c) = 5*c**3 - 5*c**2 - 8*c - 10. Suppose j + 2 = 9. Let a(u) = j*v(u) + 6*o(u). Factor a(r).
-(r + 1)*(r + 2)**2
Let c(z) be the second derivative of -1/70*z**5 + z + 1/21*z**3 - 1/42*z**4 + 1/7*z**2 + 0. Factor c(w).
-2*(w - 1)*(w + 1)**2/7
Suppose -4*h + 4 = -12. Let v(l) be the first derivative of 1/3*l**3 + 5/12*l**h + 0*l - 1/5*l**5 - 1 - 2/9*l**6 - 1/6*l**2. What is r in v(r) = 0?
-1, 0, 1/4, 1
Let 4*m**2 + 1 + 3*m - 2*m**2 - 3 + m**5 - 4*m**3 + 0*m**5 = 0. Calculate m.
-2, -1, 1
Let h(v) be the first derivative of v**4/4 - v**3/3 - v**2/2 + v - 7. Factor h(g).
(g - 1)**2*(g + 1)
Let z(r) be the first derivative of -r**6/2 - 2*r**5 - 9*r**4/2 - 4*r**3 - 5*r**2/2 - 2*r - 2. Let l(a) = a**4 - a - 1. Let c(u) = 2*l(u) - z(u). Factor c(d).
3*d*(d + 1)**4
What is m in 2/13 + 2/13*m**3 + 6/13*m + 6/13*m**2 = 0?
-1
Let y = 1476 - 1474. Determine b, given that 4/7*b**5 + 12/7*b**3 + 12/7*b**4 + 0 + 4/7*b**y + 0*b = 0.
-1, 0
Let u(z) be the second derivative of 0 + 7*z - 1/20*z**6 + 1/8*z**4 + 0*z**2 - 1/84*z**7 - 1/40*z**5 + 1/6*z**3. Solve u(t) = 0.
-2, -1, 0, 1
Solve -1/6 + 1/3*q - 1/6*q**2 = 0.
1
Let i(h) be the first derivative of 2*h**3/27 + 2*h**2/9 - 2*h/3 - 1. What is s in i(s) = 0?
-3, 1
Let j(b) be the first derivative of 0*b**2 + 2/3*b - 2/9*b**3 + 1. Find m such that j(m) = 0.
-1, 1
Let l(c) = -3*c - 4. Let s be l(-2). Factor 0*z**s + 5*z + 4 + z - 2*z**4 - 2*z**2 - 6*z**3 + 0*z**4.
-2*(z - 1)*(z + 1)**2*(z + 2)
Let i = 421/20 - 94/5. Factor -3/2*b + i - 3/4*b**2.
-3*(b - 1)*(b + 3)/4
Let r(m) be the third derivative of -m**7/42 + m**6/8 - m**5/4 + 5*m**4/24 + 4*m**2. Factor r(g).
-5*g*(g - 1)**3
Determine t so that 2/19*t**5 + 0*t - 4/19*t**4 + 0*t**2 + 2/19*t**3 + 0 = 0.
0, 1
Let w(g) be the first derivative of -g**2 - 8/5*g**5 - 8/3*g**3 - 3*g**4 - 3 + 0*g - 1/3*g**6. Find s such that w(s) = 0.
-1, 0
Let h(t) be the second derivative of t**7/7 - 9*t**6/10 + 291*t**5/160 - 9*t**4/8 + t**3/4 - 2*t + 10. Solve h(m) = 0.
0, 1/4, 2
Let i(r) be the second derivative of -r + 0 - 7/12*r**3 + 1/60*r**6 - 1/8*r**5 + 1/2*r**2 + 3/8*r**4. Factor i(k).
(k - 2)*(k - 1)**3/2
Solve 2 + 3*z - 2 + 0 - 3*z**2 = 0 for z.
0, 1
Let d(z) be the third derivative of -z**5/160 + z**3/16 + 15*z**2. Find m such that d(m) = 0.
-1, 1
Let n = -11 - -14. Let y(o) be the first derivative of -3 - 1/18*o**6 + 1/12*o**4 + 0*o + 0*o**n + 0*o**2 + 0*o**5. Factor y(j).
-j**3*(j - 1)*(j + 1)/3
Let r(a) be the first derivative of -a**5/10 - a**4/8 + a**3/6 + a**2/4 - 1. Factor r(o).
-o*(o - 1)*(o + 1)**2/2
Let i be 18/(-9) - (-5 + 1). Solve 3*y**3 - y + 2*y - i - 2*y**3 + 4*y**2 - 4*y**3 = 0 for y.
-2/3, 1
Let r(n) be the first derivative of -n**3/9 - n**2/2 - 2*n/3 - 23. Determine f so that r(f) = 0.
-2, -1
Determine s, given that 4 - 36*s**2 + 4*s**3 - 4 = 0.
0, 9
Suppose 5*j = -5*r + 15 + 35, -4*r + 47 = 5*j. Determine z, given that 2 - 4*z**3 + 3 - 2*z + 0*z + j*z**2 - 6 = 0.
-1/4, 1
Factor -1/2*y**5 + 0 + y**2 + 0*y**4 + 0*y + 3/2*y**3.
-y**2*(y - 2)*(y + 1)**2/2
Let f(o) = -o + 9. Let d be f(6). Let a be d*(75/36 - 2). Suppose 1/4*l**2 + 0 + 0*l + 1/2*l**3 + a*l**4 = 0. Calculate l.
-1, 0
Let i(s) be the second derivative of 1/15*s**6 + 0*s**3 - 3*s - 1/3*s**4 + 0 + 1/10*s**5 + 0*s**2. Solve i(d) = 0 for d.
-2, 0, 1
Find m such that 0 + 2/7*m**3 + 4/7*m**2 + 0*m = 0.
-2, 0
Let j(z) = z**2 - z - 11. Let b be j(4). Let r(x) be the first derivative of 1/4*x**4 + 0*x + 1/3*x**3 + b + 0*x**2. Find s, given that r(s) = 0.
-1, 0
Let h(g) be the second derivative of 1/6*g**4 - 2/3*g**2 + 7*g + 0 + 1/9*g**3. Solve h(l) = 0.
-1, 2/3
Suppose 3*w - y + 4 = 2*w, 0 = 2*w + 4*y + 20. Let d be (w/(-5))/(6/15). Suppose -2*s**3 + d*s**3 - 2*s**5 + s**5 = 0. What is s?
-1, 0, 1
Suppose -3 - 9 = -d - 2*v, -2*v = -10. Suppose -2*a = 6 - 22. Determine p, given that -a - p - 6*p**2 + 11*p + d*p + p**3 = 0.
2
Let u = -380 - -383. Factor -10/9*q**u - 2/9*q**4 - 4/9 - 2*q**2 - 14/9*q.
-2*(q + 1)**3*(q + 2)/9
Let -3 - 1/3*a**2 + 2*a = 0. Calculate a.
3
Let b(g) be the third derivative of 0*g**5 + 0 + 0*g**4 + 0*g**3 - 1/60*g**6 + 0*g - 1/336*g**8 + 1/70*g**7 - 2*g