2*(n - 1)**2/9
Let d(w) = -4*w + 3. Let g be d(2). Let o = g - -7. Find y such that y - o*y**3 - 3*y**4 + y**5 + 3*y**4 = 0.
-1, 0, 1
Let t(n) be the second derivative of -2*n**7/63 + 2*n**6/45 + n**5/15 - n**4/9 + 10*n. Factor t(m).
-4*m**2*(m - 1)**2*(m + 1)/3
Let f(o) be the second derivative of -o**7/357 + 7*o**6/255 - 8*o**5/85 + 4*o**4/51 + 16*o**3/51 - 16*o**2/17 - 11*o. Find c such that f(c) = 0.
-1, 2
Suppose -3*k + 3*d = -12, 4*k + 2*d + 8 = -0*d. Suppose -2*z - 12 = -5*z. Suppose k*g**z - 2*g**2 - 2*g**4 + 4*g**2 = 0. What is g?
-1, 0, 1
Let b(u) be the third derivative of -u**7/42 + u**5/3 + 32*u**2. Find k such that b(k) = 0.
-2, 0, 2
Let z = -13 - -21. Factor 21*m - z*m + m**3 - 6*m + 1 - 4*m + 3*m**2.
(m + 1)**3
Suppose t + 3*t = 0. Suppose -2*o + 5*w = t, 0 = -3*o - 2*w - 3*w + 25. Determine i so that i**5 + 0*i**4 + 9*i**3 + 2*i**o + 3*i**2 + 9*i**4 = 0.
-1, 0
Let y(l) = 4*l**5 + 5*l**4 - l**3 - 2*l**2 - 3*l - 3. Let s(c) = c**4 + c**3 - c - 1. Let w(t) = -3*s(t) + y(t). Suppose w(o) = 0. Calculate o.
-1, -1/2, 0, 1
Suppose 2/11*t**3 + 0*t**2 - 4/11 - 6/11*t = 0. What is t?
-1, 2
Factor -1/6*w**3 + 1/6*w + 0 - 1/6*w**2 + 1/6*w**4.
w*(w - 1)**2*(w + 1)/6
Let l = 187 - 185. Factor s + 0 + 6*s**3 - 5/2*s**4 - 9/2*s**l.
-s*(s - 1)**2*(5*s - 2)/2
Let s(z) be the second derivative of 0*z**3 - 1/42*z**7 - 6*z + 0*z**2 + 0*z**6 + 0*z**4 + 0 + 0*z**5. Suppose s(f) = 0. Calculate f.
0
Let n(b) = 2*b**3 + b**2 - 11*b + 8. Let x(y) = -3*y**3 - y**2 + 17*y - 12. Let j(r) = -8*n(r) - 5*x(r). Let a be j(-4). Factor a*o**2 + 1/4*o**3 - 3/4*o + 1/2.
(o - 1)**2*(o + 2)/4
Let a(i) be the third derivative of i**5/120 + i**4/12 + i**3/3 + 15*i**2. Factor a(q).
(q + 2)**2/2
Let h(o) = -o**2 - 10*o + 4. Let s be h(0). Suppose 2/3*r**s + 2/3*r**3 + 0*r - 2/3*r**2 - 2/3*r**5 + 0 = 0. Calculate r.
-1, 0, 1
Let l = 127 - 125. Factor 2/11*z**l + 2/11*z + 0.
2*z*(z + 1)/11
Let z(u) be the third derivative of -u**5/15 - 2*u**4/3 - 2*u**3 - 17*u**2 + 1. Suppose z(l) = 0. What is l?
-3, -1
Let m(g) be the second derivative of 0 + 9*g + 1/36*g**4 - 1/18*g**3 + 0*g**2. Factor m(o).
o*(o - 1)/3
Let w be 2/6 - 4/3. Let r be 0/(-1*(w + 0)). Find y such that 0*y + 2/3*y**2 - 6*y**5 + 10/3*y**3 + 2*y**4 + r = 0.
-1/3, 0, 1
Let o(m) = -m + 3 - 3 + 1 - 5. Let h be o(-4). Find u, given that h*u**2 - 2*u**2 + 2*u - 2 + 6 = 0.
-1, 2
Let f(a) be the second derivative of a**7/168 - a**6/60 - a**5/80 + a**4/24 + a. Find b, given that f(b) = 0.
-1, 0, 1, 2
Let j(c) be the third derivative of 2*c**7/315 + 2*c**6/45 - 2*c**5/45 - 2*c**4/3 + 2*c**3 + 19*c**2. Factor j(d).
4*(d - 1)**2*(d + 3)**2/3
Let c(m) be the third derivative of 0*m + 1/35*m**7 + 0 + 0*m**3 + 1/30*m**6 - 7/30*m**5 - 4*m**2 + 1/6*m**4. Factor c(d).
2*d*(d - 1)*(d + 2)*(3*d - 1)
Suppose 2*m**5 - 2*m - 3*m**5 + 4*m**2 + 4*m**3 + m**5 - 2 - 2*m**4 - 2*m**5 = 0. What is m?
-1, 1
Let x(i) be the first derivative of -i**4/18 + 10*i**3/27 - 2*i**2/9 - 16*i/9 - 25. Factor x(c).
-2*(c - 4)*(c - 2)*(c + 1)/9
Let w(a) be the first derivative of a**4/14 - a**2/7 + 1. Let w(u) = 0. What is u?
-1, 0, 1
Let l(i) = -i**3 - i**2 - 1. Let n = 10 + -15. Let v(f) = 4*f**3 + 4*f**2 + 2*f + 5. Let o(s) = n*l(s) - v(s). Find q, given that o(q) = 0.
-2, 0, 1
Let y(f) be the third derivative of 1/105*f**5 - 1/84*f**4 + 0*f - 2/21*f**3 + 0 + 1/420*f**6 + 3*f**2. Determine k, given that y(k) = 0.
-2, -1, 1
Let i(m) = m**3 + 8*m**2 + 6*m - 7. Let k be i(-7). Let p = 5 - k. Factor 2/5*c**2 - 2/5*c**3 - 1/5 + 1/5*c**p - 1/5*c**4 + 1/5*c.
(c - 1)**3*(c + 1)**2/5
Let v(d) = 4*d**3 + 8*d**2 + 9. Let f(m) = m**3 + 2*m**2 + 2. Suppose w - 3 = -7. Let y = -16 + 34. Let g(h) = w*v(h) + y*f(h). Factor g(b).
2*b**2*(b + 2)
Suppose -4*v - 70 = v. Let l = v - -31/2. Factor -3/2*i**3 - 3/2*i**2 + 3/2 + l*i.
-3*(i - 1)*(i + 1)**2/2
Let f(v) be the third derivative of 0*v**4 + 1/90*v**5 + 3*v**2 - 1/180*v**6 + 0*v**3 + 0*v + 0. What is r in f(r) = 0?
0, 1
Determine r, given that -1/2*r**4 + 1/2*r**2 - 1/4*r + 0 + 1/4*r**5 + 0*r**3 = 0.
-1, 0, 1
Let i be 13/4 - 1/4. Let u = -3/2 + 2. Factor i*c**3 + 7/4*c**4 + 0 - u*c + 3/4*c**2.
c*(c + 1)**2*(7*c - 2)/4
Let v = -2648/5 - -499. Let h = 31 + v. Factor 18/5*n**3 + 0 + h*n - 8/5*n**4 - 12/5*n**2.
-2*n*(n - 1)**2*(4*n - 1)/5
Let h(a) = -16*a**4 - 15*a**3 + 21*a**2 + 60*a + 29. Let v(l) = 3*l**4 + 3*l**3 - 4*l**2 - 12*l - 6. Let w(s) = -2*h(s) - 11*v(s). Let w(b) = 0. Calculate b.
-2, -1, 2
Let r(o) = 2*o**2 + 2*o - 2. Let q be r(-2). Suppose -f = -6*f - j, 5*f = -q*j. Find h, given that f*h - 3/5*h**3 - 1/5*h**4 + 0 - 2/5*h**2 = 0.
-2, -1, 0
Let x(n) = -22*n**2 + 78*n - 34. Let o(u) = 2*u**2 - 7*u + 3. Let r(j) = -68*o(j) - 6*x(j). Solve r(p) = 0 for p.
0, 2
Let x(c) = -c**2 + 7*c + 2. Let j be x(7). Let 0*r**4 + 6*r**3 - 9*r**2 - 2*r**4 + 3*r**2 + j*r = 0. Calculate r.
0, 1
Let l(k) be the first derivative of 2 + 2/21*k**3 + 1/7*k**2 - 1/14*k**4 - 2/7*k. Determine b so that l(b) = 0.
-1, 1
Factor -4/5*l**5 - 16/5*l**2 + 0*l - 32/5*l**3 + 0 - 4*l**4.
-4*l**2*(l + 1)*(l + 2)**2/5
Let h = 1165/42 - 83/3. Let g(w) be the second derivative of h*w**4 - 2/7*w**2 + w - 1/21*w**3 + 0. Factor g(y).
2*(y - 1)*(3*y + 2)/7
Let h(d) = -d**3 + 4*d**2 + d. Let f be h(4). Suppose 5*j + f = 7*j. Factor 5/2*s + 1/2 + j*s**2.
(s + 1)*(4*s + 1)/2
Let g = -2924/11 - -266. Let 2/11*x**5 + 0*x**2 + 0*x**4 - 4/11*x**3 + 0 + g*x = 0. Calculate x.
-1, 0, 1
Let r(z) be the third derivative of 0*z + 6*z**2 + 0 + 0*z**4 - 1/30*z**5 + 0*z**3. Factor r(f).
-2*f**2
Factor 4*o**2 + 20*o - o**2 + 2*o**2 + 0*o.
5*o*(o + 4)
Solve -2/5*r**3 + 2/5*r - 3/5*r**2 + 0 + 3/5*r**4 = 0.
-1, 0, 2/3, 1
Let h(i) be the first derivative of 3/5*i**2 + 1/2*i**4 - 3/25*i**5 - 4/5*i**3 - 1/5*i - 2. Find w such that h(w) = 0.
1/3, 1
Let c(q) be the second derivative of q**4/54 - q**3/27 - 2*q**2/9 - 4*q. Factor c(g).
2*(g - 2)*(g + 1)/9
Let k(p) be the third derivative of -p**8/56 + p**7/21 + 13*p**6/60 - p**5/30 - p**4/2 + 3*p**2 - 3. What is l in k(l) = 0?
-1, 0, 2/3, 3
Let i(m) be the second derivative of m**8/1680 + m**7/840 - m**6/360 - m**5/120 + 5*m**3/6 + m. Let k(h) be the second derivative of i(h). Factor k(j).
j*(j - 1)*(j + 1)**2
Suppose m - 3 = -0. Suppose 5*k - 6 = m*o, 2*k - 6 = -0*k. Solve 0*b + 0*b**2 + 1/2*b**o + b**4 + 1/2*b**5 + 0 = 0.
-1, 0
Suppose 4 = z - 0*z. Let y be (2/5)/(z/20). Determine c, given that 2/5*c + 12/5*c**3 + 8/5*c**y + 8/5*c**4 + 2/5*c**5 + 0 = 0.
-1, 0
Let y be 6*(-3 - (-40)/12). Factor -20*b**2 + 39*b**2 - 21*b**y + 4*b.
-2*b*(b - 2)
Suppose 4*v - 5*d + 3*d - 74 = 0, 105 = 5*v - 5*d. Suppose 6*l - 2*l - v = 0. Factor 7 - 10*g**3 - 7 - l*g**2 + 14*g**4.
2*g**2*(g - 1)*(7*g + 2)
Let y be -70 + 66 + 92/22. Solve y - 2/11*z**2 - 2/11*z + 2/11*z**3 = 0 for z.
-1, 1
Let a(o) = -o - 4. Let f be a(-7). Let m = f - 0. Solve 5*n + 6*n**5 + 0*n - m*n - 4*n**3 - 4*n**5 = 0 for n.
-1, 0, 1
Solve 0 + 0*t - 10/13*t**5 + 2/13*t**2 + 22/13*t**4 - 14/13*t**3 = 0 for t.
0, 1/5, 1
Suppose 2/3*n**4 + 4/3*n**3 + 0 + 0*n + 2/3*n**2 = 0. Calculate n.
-1, 0
Let x(q) = 28*q**2 - 48*q - 36. Let f(u) = 4*u**2 - 7*u - 5. Let y(h) = 20*f(h) - 3*x(h). Determine a so that y(a) = 0.
-1, 2
Let y(j) = 2*j**2 + 2*j - 1. Let g be y(-2). Let k(a) be the first derivative of 0*a + 6/5*a**5 - 2 + 2*a**2 - 2*a**g - a**4. Find w such that k(w) = 0.
-1, 0, 2/3, 1
Let v be 9/3 - 0/1. Factor 0*x + 0 + x + v*x**3 - 2 - 4*x**3 + 5*x**2 - 3*x**4.
-(x - 1)*(x + 1)**2*(3*x - 2)
Suppose 2*l = -2*l - 2*b + 18, l - 3*b = -6. Suppose -q + 8*u = 4*u, 0 = -l*u. Factor 10/7*v**4 - 6/7*v**5 + 0 - 2/7*v**3 - 2/7*v**2 + q*v.
-2*v**2*(v - 1)**2*(3*v + 1)/7
Let g = 3 + -1. Suppose 0 = -5*b - 10, -5*z + 3*b = -g*b - 25. Factor -5*y**z - y**3 + 9*y**3.
3*y**3
Let s(h) be the first derivative of -h**6/120 - h**5/20 + h**2 - 2. Let u(j) be the second derivative of s(j). Suppose u(v) = 0. Calculate v.
-3, 0
Let h(s) be the first derivative of -s**6/30 - 2*s**5/25 + 3*s**4/20 - 3. Solve h(b) = 0.
-3, 0, 1
Let i(d) = -d**3 + d**2 - 13*d - 9. Let f(k) = 6*k**3 - 6*k**2 + 66*k + 46. Let u(b) = 3*f(b) + 16*i(b). Let u(p) = 0. What is p?
-1, 3
Factor 2/7*z + 1/7*z**2 + 0.
z*(z + 2)/7
Let n(q) = q**2 - 6*q - 3. Let j be n(5). Let i = j - -12. Solve -5*z**4 + 3*z**3 - 2 - 9*z**2 + 2*z**