/7*s**2 - 3/7*s + 3/7*s**3 - 15/7 = 0. What is s?
-5, -1, 1
Let i(d) be the second derivative of d**7/105 - d**5/10 - d**4/6 - 4*d**2 - 5*d. Let q(g) be the first derivative of i(g). Factor q(b).
2*b*(b - 2)*(b + 1)**2
Suppose 0 = -w - 0*w. Suppose 0 = -w*l + l. Factor 0*d + l + 0*d**3 - 3/2*d**2 + 9/2*d**4 - 3*d**5.
-3*d**2*(d - 1)**2*(2*d + 1)/2
Solve 0*k + 0 - 2/7*k**2 - 1/7*k**3 = 0 for k.
-2, 0
Solve 9/2*q**4 + 0 + 0*q + 0*q**3 - 3/2*q**5 - 6*q**2 = 0 for q.
-1, 0, 2
Let k = -17719/40 - -443. Let x(t) be the third derivative of 0 + 0*t**3 + 0*t + 1/20*t**5 - k*t**6 + 0*t**4 - 3*t**2. Factor x(a).
-3*a**2*(a - 1)
Let p(g) be the third derivative of g**7/1260 + g**6/360 - g**5/120 - g**4/36 + g**3/9 + 4*g**2. Suppose p(y) = 0. What is y?
-2, 1
Suppose -3*w + 4*v - 5*v = -1, w - 2*v = -2. Let s be w*(-1 - (-1 - 1)). Find m such that -2/3*m**2 + 2/3*m + s = 0.
0, 1
Let b(q) be the second derivative of q**8/840 - q**7/210 + q**6/180 + q**3/6 - q. Let z(i) be the second derivative of b(i). Factor z(m).
2*m**2*(m - 1)**2
Let y(h) be the second derivative of h**9/15120 - h**8/2240 + h**7/1260 - h**4/12 - 2*h. Let b(n) be the third derivative of y(n). Let b(x) = 0. What is x?
0, 1, 2
Solve -3/5*i + 3/5*i**3 + 0 + 3/5*i**4 - 3/5*i**2 = 0.
-1, 0, 1
Let l(c) be the second derivative of c**7/15 + 4*c**6/25 + 3*c**5/50 - c**4/15 + 8*c. Find g such that l(g) = 0.
-1, 0, 2/7
Let q be 15 - 16 - (-26)/10. Factor 12/5*x - q*x**2 + 8/5.
-4*(x - 2)*(2*x + 1)/5
Suppose -j = -3 - 10. Suppose -5*q - 2*s = -5*s - 3, -3*q = s - j. Factor 2/7*v + 0 - 2/7*v**4 - 6/7*v**2 + 6/7*v**q.
-2*v*(v - 1)**3/7
Let 1/4*p - 1/4 + 1/4*p**2 - 1/4*p**3 = 0. Calculate p.
-1, 1
Let i be -1*(-2)/4*2. Let c be (i - 2) + -31 + -2. Let a(h) = 11*h**3 + 17*h**2 + 6*h. Let k(p) = -2*p**3 - 3*p**2 - p. Let w(m) = c*k(m) - 6*a(m). Factor w(n).
2*n*(n - 1)*(n + 1)
Let i(t) be the third derivative of -t**10/302400 - t**9/20160 - t**8/4480 - t**5/30 + 8*t**2. Let q(c) be the third derivative of i(c). Factor q(u).
-u**2*(u + 3)**2/2
Let y be 0/5 + (8 - 2). Suppose 3*z - 4*h - y = 7, -3*z + 5*h = -14. Determine d, given that 2/5*d**2 + 2/5*d**z - 2/5*d - 2/5*d**4 + 0 = 0.
-1, 0, 1
Let h(y) = y**3 + 4*y**2 + y - 1. Let r be h(-4). Let i be r/(-3) + 2/6. Factor 2*g**i + 4*g + 1 + 1 + 0*g.
2*(g + 1)**2
Let g(k) = -k**2 - 20*k + 69. Let o be g(-23). Solve -2/3*b - 2/3*b**2 + o = 0.
-1, 0
Suppose d + d - 204 = -5*r, 4*d - 384 = -4*r. Let s = d + -271/3. Suppose s*f**4 + 0*f**2 + 0 + 0*f + 2/3*f**3 = 0. What is f?
-2/5, 0
Let s(r) = 2*r - 4. Let t be s(3). Suppose -t*g - 6 = -5*g. Find l, given that -6/7*l**g - 2/7*l**4 + 2/7*l + 0 + 6/7*l**3 = 0.
0, 1
Let o be (-2)/(-8) + 54/8. Factor -o - 2*m**2 - 8*m + 1 - 2.
-2*(m + 2)**2
Let -2/3*g**2 - 338/3 - 52/3*g = 0. What is g?
-13
Suppose 163 + 149 = -8*y. Let k = y - -79/2. Factor -1/2*r + k*r**3 - 1/6*r**2 + 1/6.
(r - 1)*(r + 1)*(3*r - 1)/6
Solve -1/3 - 8/3*v - 16/3*v**2 = 0 for v.
-1/4
Let z(j) = -4*j**2 - 2*j + 10. Let d(a) = -4*a**2 - a + 11. Let r(q) = -2*d(q) + 3*z(q). Factor r(p).
-4*(p - 1)*(p + 2)
Let s be 5 - ((-11)/5)/(4/(-8)). Find x such that 0 + 0*x**2 + s*x**3 - 9/5*x**4 + 6/5*x**5 + 0*x = 0.
0, 1/2, 1
Let n(r) be the second derivative of r**6/35 + r**5/14 - 5*r**4/42 - 5*r**3/21 + 2*r**2/7 - 14*r. Solve n(w) = 0.
-2, -1, 1/3, 1
Solve 12 - 6*x + 4*x**5 - 8*x**3 + 2*x - 24*x**2 + 8*x + 12*x**4 = 0.
-3, -1, 1
Let c(u) be the first derivative of 1/4*u**4 + 2 + 0*u**3 + 0*u**2 + 1/6*u**6 - 2/5*u**5 + 0*u. Factor c(f).
f**3*(f - 1)**2
Let f(q) be the third derivative of 0 - 1/52*q**4 + 0*q + 3*q**2 + 1/130*q**5 - 1/780*q**6 + 1/39*q**3. Factor f(b).
-2*(b - 1)**3/13
Let y = 0 - -5. Factor 4*f**2 + 2*f**4 - f**5 + 2*f**y - 5*f**4.
f**2*(f - 2)**2*(f + 1)
Let f(n) be the first derivative of n**4/12 + n**3/9 - n**2/6 - n/3 + 18. Factor f(w).
(w - 1)*(w + 1)**2/3
Let c(m) = 5*m**3 + m**2 + 3*m + 3. Let i(v) = 6*v**3 + 2*v**2 + 4*v + 4. Let p(j) = 4*c(j) - 3*i(j). Factor p(r).
2*r**2*(r - 1)
Let -5*u - 12 + 5*u**2 - 27 + 9 = 0. What is u?
-2, 3
Let r(d) be the first derivative of -d**4/36 + d**3/9 - d**2/6 - 2*d - 7. Let m(t) be the first derivative of r(t). Factor m(j).
-(j - 1)**2/3
Let x(j) be the second derivative of -j**4/18 + 5*j**3/9 + 6*j. Let x(w) = 0. What is w?
0, 5
Let a(i) be the third derivative of i**5/210 + 3*i**4/7 + 108*i**3/7 - 18*i**2. Let a(p) = 0. What is p?
-18
Factor 1/8*c**4 + 1/4*c - 1/4*c**3 + 0*c**2 - 1/8.
(c - 1)**3*(c + 1)/8
Let c(a) be the first derivative of -a**8/84 + 4*a**7/105 - a**6/30 + 3*a**2/2 + 7. Let t(i) be the second derivative of c(i). Factor t(m).
-4*m**3*(m - 1)**2
Let a(v) be the second derivative of -v**4/30 + v**2/5 + 5*v. Determine b, given that a(b) = 0.
-1, 1
Suppose 0 = -3*x, 0*x = -s + 2*x + 5. Solve 1/5*u**3 + 0*u**2 + 0*u + 0 - 4/5*u**4 + 3/5*u**s = 0.
0, 1/3, 1
Let l be 1*((-4)/1 + (-23)/(-5)). Factor 0 - 6/5*z**4 + 0*z**3 + 6/5*z**2 - 3/5*z**5 + l*z.
-3*z*(z - 1)*(z + 1)**3/5
Let v(p) be the first derivative of -2*p**6/3 + 4*p**4 + 8*p**3/3 - 6*p**2 - 8*p - 3. Solve v(a) = 0.
-1, 1, 2
Let k(m) = -m**2 + 6*m - 9. Let g be k(6). Let a be (9/3)/(g/(-24)). Factor l**4 + 5*l**2 + 4*l**2 + 2*l**3 - a*l**2.
l**2*(l + 1)**2
Let g = 25 + -18. Suppose 3*f - g = -1. Factor -1/4*r**f - 1/4*r + 0.
-r*(r + 1)/4
Let x(j) be the second derivative of 1/10*j**6 + 0 - 3/5*j**5 + 0*j**2 + 5/4*j**4 + j - j**3. Solve x(t) = 0 for t.
0, 1, 2
Let a(m) = m**3 + 7*m**2 - 10*m - 11. Let j be a(-8). Let s(t) be the third derivative of 1/180*t**j + 0*t**3 + 0*t + 0*t**4 - 4*t**2 + 0. Factor s(h).
h**2/3
Suppose 27*z + 4*z**3 - 18*z**2 - 27/2 = 0. Calculate z.
3/2
Let o(v) be the third derivative of 49*v**6/120 + 7*v**5/6 - 13*v**4/6 + 4*v**3/3 + 9*v**2. Factor o(s).
(s + 2)*(7*s - 2)**2
Factor -1/2*x**5 + 1/2*x**4 + 0 - 5/2*x**2 + 3/2*x**3 + x.
-x*(x - 1)**3*(x + 2)/2
Factor -6*q**3 - 12*q + 18*q**3 + 24 - 6*q**2 - 9*q**3.
3*(q - 2)**2*(q + 2)
Let b = -52/9 + 382/63. Solve 10/7*m**4 + 6/7*m**3 - 2/7*m + 4/7*m**5 + 0 - b*m**2 = 0 for m.
-1, 0, 1/2
Let m(o) = -3*o + 36. Let a be m(12). Factor a*b**2 - 1/2*b**4 + 1/2 + b - b**3.
-(b - 1)*(b + 1)**3/2
Let p(r) be the third derivative of -r**6/2160 - r**5/240 - r**3/2 + r**2. Let j(v) be the first derivative of p(v). Find l, given that j(l) = 0.
-3, 0
Let t(h) be the first derivative of 4*h + 3*h**2 + 2/3*h**3 + 1. Let t(o) = 0. What is o?
-2, -1
Let m = -77 - -77. Let p(a) be the third derivative of 0*a - 1/120*a**5 - a**2 + 0 - 1/48*a**4 + m*a**3. Factor p(n).
-n*(n + 1)/2
Factor -4/3*c + 0 + 2/3*c**2.
2*c*(c - 2)/3
Let -41 - 2*c**4 - 50*c + 8 - 12 + 7*c**4 + 50*c**3 + 40*c**2 = 0. Calculate c.
-9, -1, 1
Factor 3 + 1 - 1 - 2*o**2 - o**2.
-3*(o - 1)*(o + 1)
Let r(v) be the second derivative of -v**8/336 + v**7/70 - v**6/40 + v**5/60 - 5*v**2/2 + 2*v. Let f(w) be the first derivative of r(w). Factor f(l).
-l**2*(l - 1)**3
Let k be 6/9*(-27)/(-6). Let s(p) be the second derivative of 0 - 1/15*p**k - p + 1/60*p**4 + 1/10*p**2. Factor s(y).
(y - 1)**2/5
Let o(f) be the first derivative of f**4 + 4/3*f**3 - 10*f**2 + 12*f - 2. Find x such that o(x) = 0.
-3, 1
Let c be -24 + 22 - (-4 + 0). Suppose 3 = c*s - 1. Solve 1/3 + 2/3*i**3 + 1/3*i**4 - 1/3*i**5 - 2/3*i**s - 1/3*i = 0 for i.
-1, 1
Let x = -394/5 - -80. Factor -27/5*l - x + 33/5*l**2.
3*(l - 1)*(11*l + 2)/5
Let v(b) = 8*b + 40. Let h be v(-5). Let y(w) be the first derivative of 0*w**2 + 7/18*w**4 + 4 + 4/27*w**3 + h*w. Factor y(l).
2*l**2*(7*l + 2)/9
Let s(n) be the second derivative of n**7/840 + n**6/180 + n**5/120 - n**3/3 - 3*n. Let t(d) be the second derivative of s(d). Factor t(u).
u*(u + 1)**2
Let k(v) be the third derivative of -v**7/735 + v**6/420 + v**5/210 - v**4/84 + 5*v**2. Determine t, given that k(t) = 0.
-1, 0, 1
Let m(t) be the second derivative of -t**6/105 - t**5/70 + 5*t**4/42 - t**3/7 - 7*t. Let m(i) = 0. What is i?
-3, 0, 1
Suppose 12 = -2*r + 8*r. What is o in -2/9*o + 0*o**r + 0 + 2/9*o**3 = 0?
-1, 0, 1
Let u = -1172 - -1172. Factor 0 - 2/5*p**2 + u*p.
-2*p**2/5
Let x(z) be the second derivative of z**6/105 + z**5/35 - 2*z**4/21 - 8*z**3/21 - 5*z. Factor x(i).
2*i*(i - 2)*(i + 2)**2/7
Let z be (-12)/18 + (16/(-6))/(-2). Factor z*f**2 - 1/3*f - 1/3*f**3 + 0.
-f*(f - 1)**2/3
Let k(y) = y. Let u be 