e (-65)/(-26)*(-8)/(-570). Let x = t - -188/57. Factor -x*l**2 - 14/3*l**4 + 4/3*l**5 + 2/3*l + 0 + 6*l**3.
2*l*(l - 1)**3*(2*l - 1)/3
Let d(z) be the second derivative of 0*z**4 - 1/5*z**5 - 7*z + 0 + 0*z**2 + 0*z**3. Find h, given that d(h) = 0.
0
Factor -4/7*g**2 - 4/7*g + 4/7*g**3 + 0 + 4/7*g**4.
4*g*(g - 1)*(g + 1)**2/7
Let r(j) = j**2 - 3*j - 6. Let l be r(5). Solve 6*x - 2*x - l - 14*x**2 + 14*x = 0.
2/7, 1
Let b be 3*(14 + -4 + 2). Let s be 6/b - (-33)/18. Factor 1/2*x + 0 - 1/4*x**s.
-x*(x - 2)/4
Find v, given that 2*v**2 - 2*v**4 + 0 + 14/9*v**5 - 4/9*v - 10/9*v**3 = 0.
-1, 0, 2/7, 1
Let -27/4*z**2 - 3/4*z**3 - 21/4 - 45/4*z = 0. What is z?
-7, -1
Let o(u) be the first derivative of u**7/2520 + u**6/1080 - u**5/180 + u**3 + 1. Let m(t) be the third derivative of o(t). Find w, given that m(w) = 0.
-2, 0, 1
Let b(v) be the second derivative of -v**6/105 - 2*v**5/35 - v**4/7 - 4*v**3/21 - v**2/7 + 4*v. Factor b(i).
-2*(i + 1)**4/7
Let 16/5*t**2 + 2/5*t**4 - 2*t**3 - 8/5*t + 0 = 0. Calculate t.
0, 1, 2
Let k = -1/4 - -1/2. Let b be (-3)/(-20) + 22/220. Let 0 - k*m**2 + b*m = 0. What is m?
0, 1
Let i(p) be the third derivative of p**8/28 - 2*p**7/21 + p**6/30 + p**5/15 - 6*p**2. Factor i(n).
4*n**2*(n - 1)**2*(3*n + 1)
Suppose 0 = k + 2*k - 6. Let o be (k + 1 + -2)*0. Suppose -10/7*z**4 + 2/7*z**2 - 6/7*z**5 + o*z - 2/7*z**3 + 0 = 0. Calculate z.
-1, 0, 1/3
Let z(p) be the second derivative of p**7/126 + p**6/90 - p**5/60 - p**4/36 - 8*p. Factor z(h).
h**2*(h - 1)*(h + 1)**2/3
Let o(m) be the second derivative of -1/6*m**4 + 0 + 0*m**2 + 5*m + 0*m**3. Factor o(t).
-2*t**2
Let n be 2*(44/(-15) + 3). Let q(k) be the first derivative of 2 - 1/5*k**2 + n*k**3 + 0*k. Suppose q(i) = 0. Calculate i.
0, 1
Let k be 96/45 - 0 - (-28)/(-210). Let 0 - 1/3*g**5 + 0*g + 1/6*g**k - 2/3*g**3 + 5/6*g**4 = 0. What is g?
0, 1/2, 1
Let z(x) be the third derivative of -x**10/151200 - x**9/20160 - x**8/6720 - x**7/5040 + x**5/20 + x**2. Let i(u) be the third derivative of z(u). Factor i(l).
-l*(l + 1)**3
Let b(v) be the second derivative of v**6/1080 + v**5/120 + v**4/36 + v**3/3 - 3*v. Let s(u) be the second derivative of b(u). Find i, given that s(i) = 0.
-2, -1
Let s(v) = v**4 + v**3 - v + 1. Let q(m) = -m**5 - 1 + 2*m - 4*m**2 + 2 + 5*m - 5*m**3 + 6*m**4. Let d(f) = q(f) - s(f). Factor d(o).
-o*(o - 2)**3*(o + 1)
Let w(g) be the second derivative of -g - 1/5*g**6 + 0 - 2/9*g**4 + 2/5*g**5 + 0*g**2 + 0*g**3. Factor w(v).
-2*v**2*(3*v - 2)**2/3
Suppose -2*o + 13 = 3*n, 4*n = -3*o + 12 + 4. Let j = n + -7. Solve 1/4*f**2 + j*f + 0 = 0.
0
Let v(n) = 31*n**2 + 2*n + 1. Let a be v(-1). Let u be (-5)/a*8/(-6). Factor 2/9*l**3 + 0 + u*l - 4/9*l**2.
2*l*(l - 1)**2/9
Let j(t) = -t**4 - t**2. Let u(c) = -7*c**4 - 15*c**3 - 31*c**2 - 21*c - 6. Let f(x) = 4*j(x) - u(x). Factor f(o).
3*(o + 1)**3*(o + 2)
Let n(j) = -j**2 - 6*j + 9. Let r be n(-7). Suppose 20 = -2*f - 4*a, -20 = -5*f + 4*f + 4*a. Factor -3/2*d**r + f*d + 3/2.
-3*(d - 1)*(d + 1)/2
Let r be 3/(-12) + 1/4. Factor -2/7 + 2/7*o**2 + r*o.
2*(o - 1)*(o + 1)/7
Suppose -2*u + 3*u = 0. Suppose u = 6*o - 3*o - 18. Solve -2*g**4 - 4*g**4 + 2*g**5 + o*g**3 - g**2 - g**2 = 0 for g.
0, 1
Let a(t) be the first derivative of -5*t**4/4 + 15*t**2/2 + 10*t - 7. Solve a(n) = 0 for n.
-1, 2
Let k(b) be the second derivative of b**4/6 - 2*b**3/3 - 3*b**2 - b. Factor k(g).
2*(g - 3)*(g + 1)
Let z(c) be the second derivative of c**4/132 - 5*c**3/33 + 25*c**2/22 - c. Let z(f) = 0. Calculate f.
5
Let k(g) = -g**4 + g**3 - g**2 + g. Let b(z) = 2*z**5 + 3*z**4 - 3*z**3 - z**2 - z. Let q be 6/(-9)*3 + 3. Let l(c) = q*k(c) + b(c). Factor l(v).
2*v**2*(v - 1)*(v + 1)**2
Let g(t) be the first derivative of 0*t - 2/3*t**3 + 1/2*t**5 - 1/8*t**6 + 3 - 1/4*t**4 + 0*t**2. Factor g(s).
-s**2*(s - 2)**2*(3*s + 2)/4
Let o(m) be the third derivative of -m**5/180 + 5*m**4/72 - 2*m**3/9 + 22*m**2. Factor o(f).
-(f - 4)*(f - 1)/3
Let j(s) = 0*s**2 + 0*s**2 + 10 + 2*s**2 - 8*s**2 + 26*s. Let p(y) = -y**2 + 5*y + 2. Let b(u) = 2*j(u) - 11*p(u). What is t in b(t) = 0?
-2, -1
Factor -10/19*j**2 + 34/19*j - 12/19.
-2*(j - 3)*(5*j - 2)/19
Let 9*h + 3*h**3 - 2*h**4 + 15*h**2 - 3*h**4 + 2*h**4 = 0. Calculate h.
-1, 0, 3
Let s(r) be the second derivative of r**7/14 - 11*r**6/10 + 69*r**5/10 - 45*r**4/2 + 81*r**3/2 - 81*r**2/2 + 4*r. Factor s(l).
3*(l - 3)**3*(l - 1)**2
Let r = -6 - -4. Let g be r/(-9) + (-136)/(-36). Let -y**3 - 4 - 5*y + 4 - 2*y**2 + g*y = 0. What is y?
-1, 0
Let v(m) = 9*m**5 + 23*m**4 + 17*m**3 + 3*m**2 - 2*m + 2. Let g(l) = 36*l**5 + 93*l**4 + 69*l**3 + 12*l**2 - 9*l + 9. Let f(d) = 2*g(d) - 9*v(d). Factor f(t).
-3*t**2*(t + 1)**2*(3*t + 1)
Let i(t) be the first derivative of 9*t**5/10 + 7*t**4/6 - 20*t**3/3 + 4*t**2 - 3*t - 2. Let f(d) be the first derivative of i(d). Factor f(u).
2*(u - 1)*(u + 2)*(9*u - 2)
Let s = -21 + 51. Let z be s/5*2/6. Find n, given that -n**z + 2/5 - 3/5*n = 0.
-1, 2/5
Suppose -55 = -4*a - f, -3*f + 47 = 3*a - 8*f. Let s = a - 9. Factor 1 - s*k + 25/4*k**2.
(5*k - 2)**2/4
Let c = 35 - 33. Let a(p) be the first derivative of 1/3*p - 1/3*p**c + 1/9*p**3 - 1. Factor a(r).
(r - 1)**2/3
Suppose 0 = -4*a + 27*a. Let p(x) be the first derivative of -x**4 + 0*x + 1 - 2/3*x**3 + a*x**2 - 2/5*x**5. Factor p(o).
-2*o**2*(o + 1)**2
Suppose -5*b - 12*m - 10 = -10*m, -b - 2*m - 10 = 0. Factor b*v**3 + 3/4*v**2 + 0 + 0*v - 3/4*v**4.
-3*v**2*(v - 1)*(v + 1)/4
Let d = -52 + 52. Factor -2/5*n**2 + d + 26/5*n**4 + 2*n**5 - 4/5*n + 18/5*n**3.
2*n*(n + 1)**3*(5*n - 2)/5
Let l be (3 - (-2 + 5))/2. Let c(w) be the first derivative of l*w + 0*w**3 - 1/14*w**4 + 0*w**2 - 1. Solve c(f) = 0 for f.
0
Let o(g) be the second derivative of g**4/24 - 5*g**3/12 + g**2 + 9*g. Find x such that o(x) = 0.
1, 4
Let m(k) be the first derivative of k**4/48 + k**3/4 + 9*k**2/8 - 6*k + 7. Let j(c) be the first derivative of m(c). Factor j(u).
(u + 3)**2/4
Let l(x) be the second derivative of 0*x**2 - 3*x - x**3 + 3/20*x**5 + 0 + 1/4*x**4. Let l(a) = 0. What is a?
-2, 0, 1
Let r(i) be the second derivative of 1/6*i**3 - 1/60*i**6 + 4*i + 0*i**2 - 1/20*i**5 + 1/24*i**4 + 0. What is d in r(d) = 0?
-2, -1, 0, 1
Let x = -18/5 - -19/5. Suppose 20 = -5*l, 0*l + l = -3*c + 2. Factor -3*w**c + 9/5*w**3 + 7/5*w - x.
(w - 1)*(3*w - 1)**2/5
Let t = 22 - 30. Let y be (18/27)/((-1)/t). Determine j so that 2/3*j**3 - 10/3*j**2 - 8/3 + y*j = 0.
1, 2
Factor -2/9*w**3 + 22/9*w**2 + 0 + 0*w.
-2*w**2*(w - 11)/9
Let q(p) = -3*p**2 + 3*p. Let x be (2 - 7)*(0 + 1). Let r(h) = 115*h - 2*h**2 - 108*h - 1 - 4*h**2. Let k(o) = x*q(o) + 2*r(o). Factor k(y).
(y - 1)*(3*y + 2)
Let z(y) be the second derivative of y**6/270 - y**5/60 + y**4/36 - y**3/54 - 3*y. Let z(v) = 0. Calculate v.
0, 1
Let p(a) = -4*a - 9. Let i be p(-3). Let g(j) be the third derivative of -1/3*j**i + 4*j**2 + 0*j**4 + 0*j + 1/30*j**5 + 0. What is s in g(s) = 0?
-1, 1
Let o(c) = -c**2 - c. Let a be 14/6 + 24/(-18). Let z(q) = -3*q**3 + 12*q**2 + 15*q. Let y(j) = a*z(j) + 12*o(j). Suppose y(g) = 0. Calculate g.
-1, 0, 1
Let u(x) be the second derivative of -x**10/10080 + x**8/1120 - x**6/240 + x**4/12 + 2*x. Let l(r) be the third derivative of u(r). Factor l(a).
-3*a*(a - 1)**2*(a + 1)**2
Suppose 0 = 4*m - 2*z - 28, -7*z + 3*z + 16 = 4*m. Suppose -m*c + 30 = -c. What is x in 2*x**2 + 2*x + 3 - 1 - c*x = 0?
1
Let k be (-8)/2 + 0 - -6. Let x(g) be the second derivative of 1/12*g**4 - g + 0 + 1/12*g**3 + 0*g**k. Factor x(h).
h*(2*h + 1)/2
Let w = 14/9 - 8/9. Suppose -2 = -3*o + m + 7, 0 = 3*m. Let -2/3 + w*y**5 - 2*y + 2*y**4 - 4/3*y**2 + 4/3*y**o = 0. Calculate y.
-1, 1
Let w(l) be the first derivative of l**6/1980 + l**5/330 + l**4/132 - l**3/3 + 2. Let i(t) be the third derivative of w(t). Determine r, given that i(r) = 0.
-1
Let t be 15/18*(-3 + (-165)/(-50)). Factor -t*w**2 + 0 + 1/2*w.
-w*(w - 2)/4
Let t(b) be the first derivative of -4 + 0*b**4 + 0*b**2 + 0*b - 1/18*b**6 + 0*b**3 - 2/15*b**5. Find j such that t(j) = 0.
-2, 0
Solve 0 + 3/4*p**3 - 1/4*p**4 - 3/4*p**2 + 1/4*p = 0.
0, 1
Let j(x) be the second derivative of x**4/21 + 2*x**3/21 - x. Let j(v) = 0. Calculate v.
-1, 0
Suppose 2/11*k - 4/11*k**2 + 4/11 - 2/11*k**3 = 0. Calculate k.
-2, -1, 1
Let a(w) be the first derivative of 4*w**5/5 + 2*w**4