tor x(n).
2*n*(n - 1)**2*(n + 1)
Let a(q) be the first derivative of q**7/63 - 2*q**6/45 + q**4/9 - q**3/9 + 5*q + 4. Let y(b) be the first derivative of a(b). Suppose y(d) = 0. Calculate d.
-1, 0, 1
Let q(k) be the first derivative of -k**4/3 + 2*k**2 - 8*k/3 - 4. Factor q(u).
-4*(u - 1)**2*(u + 2)/3
Let w(p) be the first derivative of -2*p**3/15 + 6*p**2/5 - 18*p/5 - 8. Factor w(j).
-2*(j - 3)**2/5
Let a(u) be the third derivative of 2*u**7/105 + u**6/15 + u**5/15 - 4*u**2. Factor a(b).
4*b**2*(b + 1)**2
Let t(j) be the third derivative of 0 + 0*j**7 - 1/20*j**6 + 0*j**3 - 6*j**2 + 0*j**5 + 1/112*j**8 + 1/8*j**4 + 0*j. Let t(n) = 0. Calculate n.
-1, 0, 1
Let n(o) be the second derivative of -11/10*o**6 + o + 3/14*o**7 - 1/2*o**3 - 3/2*o**4 + 3/2*o**2 + 0 + 21/10*o**5. Factor n(b).
3*(b - 1)**4*(3*b + 1)
Suppose -5*z + 0*y = 5*y + 15, -z + y + 3 = 0. Let c(x) be the third derivative of 1/90*x**5 + 0*x**3 + 0*x + 0 + z*x**4 - x**2. Suppose c(u) = 0. What is u?
0
Let u be (-15)/(-10)*(-16)/(-22). Let f = u - -118/33. Let 4/3 - f*s + 14/3*s**3 - 4/3*s**2 = 0. What is s?
-1, 2/7, 1
Let k(c) be the second derivative of c**4/48 + c**3/6 + 3*c**2/8 - 7*c. Determine s, given that k(s) = 0.
-3, -1
Let w(q) be the first derivative of q**4/10 - 2*q**3/15 - 26. Find n, given that w(n) = 0.
0, 1
Let p(m) = -m**2 - 11*m - 13. Let s be p(-9). Determine b so that 0 - 3/4*b**3 - 1/4*b**s + 0*b - 1/4*b**2 - 3/4*b**4 = 0.
-1, 0
Let t(f) = f**3 + f**2 - f + 1. Let w(k) = 7*k**3 + 2*k**2 - k + 4. Let h = -13 + 7. Let z(v) = h*t(v) + w(v). Solve z(r) = 0 for r.
1, 2
What is x in 0*x**4 - 1/2*x**5 + 0 + 3/2*x - 4*x**2 + 3*x**3 = 0?
-3, 0, 1
Let j = 26 - 17. Let l be -7 + j + 24/(-26). Factor 18/13*n**3 + 0*n - l*n**4 - 4/13*n**2 + 0.
-2*n**2*(n - 1)*(7*n - 2)/13
Let h(q) = 3*q + 5. Let y be h(-1). Let a(m) be the first derivative of 1/22*m**4 - 1/11*m**2 + 0*m**3 + y + 0*m. Factor a(b).
2*b*(b - 1)*(b + 1)/11
Let j be 5/20 - (-1)/(-4). Let b be -1*(-1 + (-2 - j)). Factor 3/2*l**b - 3*l**2 - 3/2*l + 3.
3*(l - 2)*(l - 1)*(l + 1)/2
Determine w, given that -326*w**2 - 4 + 109*w**2 + 48*w**2 + 52*w = 0.
2/13
Let u = 12 + -59/5. Let y(k) be the second derivative of k**2 + 0 + 2/3*k**3 - k - 1/6*k**4 - u*k**5. Factor y(w).
-2*(w - 1)*(w + 1)*(2*w + 1)
Let m(j) = j**2 - j + 1. Let u(f) be the third derivative of -f**5/30 + f**4/6 - f**3/3 - 2*f**2. Let n(b) = 8*m(b) + 3*u(b). Factor n(w).
2*(w + 1)**2
Let s be 3/6 - (-57)/6. Suppose j + 11 = 3*k, k + s = 3*k. Factor 2/3*y**2 - 1/3*y**5 - 1/3*y + 2/3*y**3 - 1/3*y**j - 1/3.
-(y - 1)**2*(y + 1)**3/3
Factor 1/3*l**2 - 7/6*l + 2/3 + 1/6*l**3.
(l - 1)**2*(l + 4)/6
Let z(l) be the third derivative of l**5/30 - l**4/3 + l**3 - 2*l**2. Solve z(n) = 0.
1, 3
Let z be -9*4/60 - -1. Let x be 3/(-5) - (-1 - 0). Factor -x - z*b**2 + 4/5*b.
-2*(b - 1)**2/5
Suppose 0 = -13*b + 11*b + 10. Suppose -x = b, -x = -4*o - 3*x - 10. Let o*c**3 - 2/7*c**2 + 0 + 0*c + 2/7*c**4 = 0. Calculate c.
-1, 0, 1
Let i(u) = -u + 1. Let z(v) = v**3 + 33*v**2 + 359*v + 1335. Let s(m) = 4*i(m) - z(m). Find t such that s(t) = 0.
-11
Let p = -2848 + 299044/105. Let l(g) be the second derivative of p*g**6 + 0 - 1/21*g**3 + 3/14*g**4 - g - 11/70*g**5 - 1/7*g**2. Factor l(c).
2*(c - 1)**3*(4*c + 1)/7
Let w be (165 - 169)*(-2)/(-8)*-3. Factor -35/4*x**w + 11/4*x**2 - 1/4*x + 25/4*x**4 + 0.
x*(x - 1)*(5*x - 1)**2/4
Let j(h) be the first derivative of 3*h**4/28 + h**3/7 - 10. Factor j(m).
3*m**2*(m + 1)/7
Let i(w) = 9*w**5 + w**4 - 17*w**3 - w**2 + 8. Let h(v) = -6*v**5 - v**4 + 11*v**3 + v**2 - 5. Let p(u) = -8*h(u) - 5*i(u). Factor p(f).
3*f**2*(f - 1)*(f + 1)**2
Suppose -v - 42 - 41 = 0. Let a = v - -251/3. Factor 1/3 + 1/3*u**2 + a*u.
(u + 1)**2/3
Let i(b) = -2*b**2 - 6*b - 4. Let c(k) = 8*k**2 + 24*k + 16. Let v(j) = 2*c(j) + 9*i(j). Factor v(z).
-2*(z + 1)*(z + 2)
Let j(z) be the third derivative of -z**6/50 + z**5/20 - z**4/40 + 11*z**2. Factor j(c).
-3*c*(c - 1)*(4*c - 1)/5
Let x be (-1)/((-30)/(-16) - 2). Suppose x*s**3 - 24*s**2 + 8*s**2 + 10*s - 1 - 1 = 0. What is s?
1/2, 1
Let r = -15 - -17. Let y be -1*(-28)/12 - r. Factor -1/3*g**2 + 2/3 + y*g.
-(g - 2)*(g + 1)/3
Let t be (4 + 24/(-6))/(-1 + 2). Factor -4/3*u + t - 2/3*u**2.
-2*u*(u + 2)/3
Let f be -1*((-2)/(-2) - 2). Let u be (1 - f)/(5/5). Factor 1/3*n**3 - 1/3*n + u*n**2 + 0.
n*(n - 1)*(n + 1)/3
Factor 0*m**2 - 4*m**3 - 12*m**2 + 8*m + 8*m**2.
-4*m*(m - 1)*(m + 2)
Factor 0*d + 6/5*d**2 + 0 + 3/5*d**3.
3*d**2*(d + 2)/5
Suppose -5 = 4*x - 33. Factor -x - b**2 + b - 3*b + 6.
-(b + 1)**2
Let h(w) be the third derivative of w**6/150 - 2*w**5/75 - w**4/10 + 16*w**2. Factor h(x).
4*x*(x - 3)*(x + 1)/5
Let u(g) = -4*g + 2. Let f(k) = -k + 1. Let c(m) = 3*f(m) - u(m). Let t(w) = w**2 + 3*w + 4. Let r(d) = -4*c(d) + t(d). Factor r(p).
p*(p - 1)
Let l(z) = 2*z - 3. Let j be l(6). Determine i, given that j*i**2 + i**3 - 20*i**2 - i + 11*i**2 = 0.
-1, 0, 1
Let m(o) be the first derivative of o**9/504 + o**8/168 + o**7/210 + o**3/3 - 2. Let c(s) be the third derivative of m(s). Factor c(g).
2*g**3*(g + 1)*(3*g + 2)
Let v(c) be the first derivative of 10*c**3/3 + 3*c**2 - 4*c - 53. Find m, given that v(m) = 0.
-1, 2/5
Let h(m) be the second derivative of m**7/756 + m**6/90 + m**5/45 + m**4/3 + 4*m. Let r(b) be the third derivative of h(b). Solve r(z) = 0 for z.
-2, -2/5
Let w(b) be the first derivative of 6 + 1/9*b**3 - 1/3*b**2 - b. What is a in w(a) = 0?
-1, 3
Let n(w) be the second derivative of 3*w**2 + 2*w**3 - 57/40*w**5 - 25/28*w**7 + 0 + 5*w + 11/4*w**6 - 23/8*w**4. What is a in n(a) = 0?
-2/5, 1
Let j(t) be the first derivative of -t**6/30 + t**5/10 - t**4/12 + 3*t - 4. Let p(s) be the first derivative of j(s). Determine n so that p(n) = 0.
0, 1
Find y such that -2*y - 3/4*y**2 + 1/4*y**4 + 1/2*y**3 - 1 = 0.
-2, -1, 2
Let w(y) be the first derivative of -y**6/30 + y**5/6 - y**4/3 + y**3/3 - y**2/2 - 2. Let s(x) be the second derivative of w(x). Let s(g) = 0. What is g?
1/2, 1
Let 5/2*r**2 + 1/2 + r**3 + 2*r = 0. Calculate r.
-1, -1/2
Find x, given that -15 + 5*x**4 + 30*x**3 + 8 + 60*x + 27 + 65*x**2 = 0.
-2, -1
Let z(r) = -3*r - 16. Let v be z(-6). Let o be -18*(-2)/(-20) + v. Find b, given that -o*b - 2/5 + 1/5*b**2 = 0.
-1, 2
Let w(d) = 11*d**4 - d**3 - 5*d**2 + 17*d + 2. Let f(g) = 7*g**4 - g**3 - 3*g**2 + 11*g + 1. Let x(o) = -8*f(o) + 5*w(o). Determine m so that x(m) = 0.
-1, 1, 2
Let t = -1/3 - -13/21. Suppose -t*h**4 - 2/7*h + 0 + 2/7*h**2 + 2/7*h**3 = 0. What is h?
-1, 0, 1
Let r(x) be the first derivative of -1/60*x**5 + 0*x - 1/2*x**2 - 2 + 0*x**3 + 1/12*x**4. Let h(a) be the second derivative of r(a). Factor h(c).
-c*(c - 2)
Let b = -10 - -14. Determine v so that -4*v**5 + 12*v**b - 4*v**2 + 4*v - 4*v**4 - 4*v**2 = 0.
-1, 0, 1
Let k = 16/15 + -437/30. Let y = k + 14. Factor 0*s + 6*s**3 + y*s**5 + 0 + 4*s**2 + 3*s**4.
s**2*(s + 2)**3/2
Determine i, given that -4*i**2 - 5 - 2*i**5 + 2*i**4 + 3*i + 3 - 6*i**3 + 5*i**5 + 4 = 0.
-1, -2/3, 1
Let t be 1*(2 - 1)*3. Find k, given that 4*k**2 - 3*k + t*k**3 - 1 + 2*k**2 - 5 = 0.
-2, -1, 1
Let r = 1 + 1. Factor l + 5*l**3 + 0 + r*l + 2 + 9*l**2 + 4*l + l**4.
(l + 1)**3*(l + 2)
Let o(d) be the first derivative of 5*d**3/3 + 5*d**2/2 + 10. Factor o(u).
5*u*(u + 1)
Let c(x) be the second derivative of x**6/90 + x**5/20 - x**4/36 - x**3/6 - 15*x. Determine m so that c(m) = 0.
-3, -1, 0, 1
Suppose 6*t = 5*t. Suppose 5*u + 20 = t, 4*n - 6 - 2 = -2*u. Factor 1 + w**n + 3*w**2 + 4*w + 3*w**2 + 0 + 4*w**3.
(w + 1)**4
Let i(u) = -3*u**4 - 3*u**3 + 9*u**2 + 12*u - 6. Let z(x) = -x. Let s(k) = -i(k) - 9*z(k). Determine v, given that s(v) = 0.
-2, -1, 1
Let g(z) = z**3 - 5*z**2 + 1. Let m be g(4). Let q be (m/(-10))/(3/4). Solve -4*c + 2 + 4*c**2 - 3*c**2 - 3*c**q + 4*c**2 = 0.
1
Let h(p) be the first derivative of 1/2*p - 3/2*p**2 + 7 + 3/2*p**3. Factor h(q).
(3*q - 1)**2/2
Let a(f) be the third derivative of -f**5/480 - f**4/96 + f**3/16 + 9*f**2. Let a(k) = 0. What is k?
-3, 1
Let -10/9*f - 2/9*f**3 + 8/9*f**2 + 4/9 = 0. Calculate f.
1, 2
Suppose 3*l - 41 = -l + 5*w, 23 = 2*l - 3*w. Determine q, given that l - 6*q - 3*q**3 - 9*q**2 - 4 = 0.
-2, -1, 0
What is w in -1/10*w**2 + 1/2*w - 3/5 = 0?
2, 3
Let i be 10/36 - (-2)/9. What is f in i*f**2 - 1/2 + 0*f = 0?
-1,