/48 + 5*q**3/12 - 19*q. Factor c(s).
5*s*(s - 2)*(s - 1)**3/4
Let w(o) be the second derivative of o**5/30 + o**4/12 + 3*o**2/2 + 2*o. Let r(t) be the first derivative of w(t). Factor r(h).
2*h*(h + 1)
Solve 48*o**4 + 21*o - 10*o**3 + 20*o**2 - 53*o**4 + 19*o = 0.
-2, 0, 2
Let x(z) = 9*z**2 - 4. Let t(m) be the third derivative of 0*m + 0 + 3*m**2 - m**3 + 0*m**4 + 7/30*m**5. Let j(i) = -5*t(i) + 8*x(i). Factor j(k).
2*(k - 1)*(k + 1)
Let z(t) = -4*t - 50. Let w be z(-13). Determine n, given that 2/3*n + 2/3*n**w + 0 = 0.
-1, 0
Let o = -4 + 9/2. What is n in -3/2*n**4 + 3/2*n - n**3 - o*n**5 + 1/2 + n**2 = 0?
-1, 1
Suppose 2*c**3 + 48*c + 20*c + 2*c**3 - 64*c**2 - 16 + 8*c**3 = 0. What is c?
1/3, 1, 4
Let d = 8 + 20. Suppose -27*o - 1 + d*o + 1 - o**3 = 0. What is o?
-1, 0, 1
Factor -1 + 3/4*k**2 + 1/4*k**3 + 0*k.
(k - 1)*(k + 2)**2/4
Let s be -23 - -20 - (-2 - 14/5). Factor 1/5 + 33/5*g**4 + 6*g**2 + 46/5*g**3 + 9/5*g**5 + s*g.
(g + 1)**3*(3*g + 1)**2/5
Suppose -10 = -3*p - 5*w, 0 = p - w - 1 + 3. Factor 6/5*c**3 + 6/5*c**2 + 2/5*c**4 + 2/5*c + p.
2*c*(c + 1)**3/5
Factor -1/4*u**4 + 3/4*u - 3/4*u**3 + 1/2 - 1/4*u**2.
-(u - 1)*(u + 1)**2*(u + 2)/4
Let q be (-5)/((-300)/35) + (-3)/12. Let p(g) be the first derivative of -g**2 - q*g**3 - g - 1. Factor p(f).
-(f + 1)**2
Let y be -1*(-4)/12*3. Solve -y + b - 3 + b**2 + 2 = 0.
-2, 1
Let b be 24/(9360/966) - 2/26. Find z such that 0 + b*z**2 + 0*z + 48/5*z**3 - 15*z**5 + 3*z**4 = 0.
-2/5, 0, 1
Let i(r) be the first derivative of 2*r**3/27 - 2*r**2/9 + 12. Solve i(v) = 0.
0, 2
Let -3 - 10/3*j - 1/3*j**2 = 0. Calculate j.
-9, -1
Let m(j) be the second derivative of -j**7/105 + j**5/50 + 36*j. Factor m(o).
-2*o**3*(o - 1)*(o + 1)/5
Let n(d) = -d**2 + 6*d + 1. Let i be n(6). What is a in 6*a**2 + a**2 + 16*a - 13*a**2 + 7 + i - 18*a**3 = 0?
-2/3, 1
Let x(v) be the first derivative of 4*v**5/5 + 10*v**4 + 128*v**3/3 + 64*v**2 - 54. Factor x(k).
4*k*(k + 2)*(k + 4)**2
Let u be ((-20)/(-5))/(-1) - -9. Let d(h) be the third derivative of 0 + 0*h + 3*h**2 - 1/4*h**4 + 7/120*h**u - 1/3*h**3. Let d(y) = 0. Calculate y.
-2/7, 2
Let x(c) = -c**3 + c**2 + c. Let l(a) = 3*a**4 + 2*a + 7*a - 9*a**3 + a**4 + 5*a**2 - 2 - 2*a**4. Let i(r) = -l(r) + 5*x(r). Factor i(z).
-2*(z - 1)**3*(z + 1)
Let f(g) be the first derivative of 5/16*g**4 - 1 + 3/4*g**3 + 1/2*g + 1/20*g**5 + 7/8*g**2. Let f(b) = 0. Calculate b.
-2, -1
Let t(k) be the second derivative of -3*k**5/80 + k**4/12 + k**3/24 - k**2/4 - 24*k. Suppose t(o) = 0. Calculate o.
-2/3, 1
Suppose 2*y + 11 = x, -5*x + 0*y = -3*y - 27. Let v = 31 + -28. What is r in -r**v + 4*r + 2 + 0 - 2*r**4 - x*r**3 = 0?
-1, 1
Let d(b) be the third derivative of -1/2*b**3 + 0*b + 0*b**4 + 0 + 1/360*b**5 + 2*b**2 + 1/1080*b**6. Let k(i) be the first derivative of d(i). Factor k(o).
o*(o + 1)/3
Let m = 252 - 248. What is n in 0 + 0*n - 2/3*n**2 - 16/3*n**3 - 32/3*n**m = 0?
-1/4, 0
Let f(w) = -w**3 + w**2 - w + 1. Let m(i) = -18*i**2 - 9*i - 3. Let y(g) = 3*f(g) + m(g). Factor y(r).
-3*r*(r + 1)*(r + 4)
Let q(p) be the first derivative of -7*p**8/24 - p**7/5 + 2*p**6/5 - 2*p**5/15 + p**2/2 + 1. Let m(c) be the second derivative of q(c). Solve m(s) = 0.
-1, 0, 2/7
Suppose -x - 4*x = 0. Let s be (-3)/(-4) - (x + 0). Factor 1/4 + s*t + 3/4*t**2 + 1/4*t**3.
(t + 1)**3/4
Let f be (3/(-2) + 1)*0. Find v such that 2/9*v**3 - 4/9*v**2 + 0*v + f = 0.
0, 2
Let w be 2/(1 + (-20)/12). Let g be (w/(-36))/((-3)/(-27)). Let -u - 1/4*u**2 - g = 0. Calculate u.
-3, -1
Let s = -2 + 5. Factor c**3 + 5*c - 6*c**s + 0 + 2*c**2 - 2.
-(c - 1)*(c + 1)*(5*c - 2)
Factor 24/7*k + 5/7*k**3 + 4/7 + 3*k**2.
(k + 2)**2*(5*k + 1)/7
Factor 75*z - 3*z**2 + 18*z**2 + z**3 + 125 + 0*z**3.
(z + 5)**3
Let m be (3/(-6))/(2/8). Let i = 5 + m. Factor 2*f**4 - 4*f + 5*f + 3*f - 4*f**i - 2.
2*(f - 1)**3*(f + 1)
Let v(s) = -s**3 - 3*s**2 - 2. Let a(d) = -d**3 - 2*d**2 + d - 2. Let f(t) = 3*a(t) - 2*v(t). Let i be f(1). Suppose i*y - 1/4 + 1/4*y**2 = 0. Calculate y.
-1, 1
Let i(m) = 14*m**3 + 8*m**2 + 8. Let f(s) be the second derivative of s**5/4 + s**4/4 + 3*s**2/2 + s. Let p(x) = 8*f(x) - 3*i(x). Factor p(u).
-2*u**3
Suppose -24*z = -44*z + 80. Let 0*l**2 - 3/2*l**3 - 3/2*l**z + 0*l + 0 = 0. Calculate l.
-1, 0
Let k(n) be the first derivative of -n**6/4 + 21*n**5/10 - 99*n**4/32 - 7*n**3 - 3*n**2 + 27. What is j in k(j) = 0?
-1/2, 0, 4
Let f = 70 + -839/12. Let d(s) be the first derivative of 0*s**5 - 1/4*s**4 + f*s**6 + 1/4*s**2 + 0*s**3 + 2 + 0*s. Determine k, given that d(k) = 0.
-1, 0, 1
Suppose -9/5*g**3 + 12/5*g + 0*g**2 - 3/5*g**4 + 0 = 0. What is g?
-2, 0, 1
Let o(t) be the third derivative of t**8/1680 + t**7/150 + t**6/40 + 3*t**5/100 + 53*t**2. Solve o(z) = 0.
-3, -1, 0
Let f(n) = 4*n**2 - 17*n + 4. Let c be f(4). Determine k so that -8/7*k**3 + c + 10/7*k**2 + 2/7*k**4 - 4/7*k = 0.
0, 1, 2
Let a(t) be the second derivative of t**4/102 - t**3/51 - 6*t**2/17 - 5*t. Solve a(q) = 0.
-2, 3
Suppose 5*h + 2*b - 10 = 0, 20 = 3*h + h + 4*b. Suppose h = 2*i + 2*v - 10, -4*v + 3 + 5 = 0. Factor 0*d**2 - 1/2*d**4 + 1/2*d**5 + 0*d + 0 - d**i.
d**3*(d - 2)*(d + 1)/2
Let h(q) be the first derivative of q**6/6 + 3*q**5/5 + 3*q**4/4 + q**3/3 + 4. Factor h(u).
u**2*(u + 1)**3
Let i(s) be the third derivative of s**8/168 - 2*s**7/105 - s**6/30 + 2*s**5/15 + s**4/12 - 2*s**3/3 + 2*s**2. Let i(o) = 0. Calculate o.
-1, 1, 2
Let v be -1 - -2 - (-80)/(-144). Factor v - 4/9*o**2 - 10/9*o**3 + 10/9*o.
-2*(o - 1)*(o + 1)*(5*o + 2)/9
Let u(n) be the first derivative of n**7/14 + 7*n**6/30 + n**5/4 + n**4/12 + 4*n + 4. Let i(c) be the first derivative of u(c). Factor i(v).
v**2*(v + 1)**2*(3*v + 1)
Let w(o) be the third derivative of 0 + 0*o + 0*o**3 - 1/120*o**6 + 1/12*o**4 - 3*o**2 - 1/60*o**5. Suppose w(s) = 0. What is s?
-2, 0, 1
Let d(f) = -4*f**4 - 18*f**3 - 46*f**2 - 48*f - 22. Let v(p) = 4*p**4 + 17*p**3 + 45*p**2 + 48*p + 23. Let c(l) = -7*d(l) - 6*v(l). Let c(n) = 0. What is n?
-2, -1
Let t = 7410 - 51669/7. Let r = 29 - t. Factor -r + 2/7*b + 2/7*b**2 - 2/7*b**3.
-2*(b - 1)**2*(b + 1)/7
Suppose 3*x = -0*x. Let m(f) be the third derivative of 0*f - 1/144*f**4 + 1/90*f**5 - f**2 + 1/315*f**7 + x*f**3 + 0 - 1/120*f**6 - 1/2016*f**8. Factor m(p).
-p*(p - 1)**4/6
Let j = 5/34382 - -4606613/3953930. Let y = j - -10/23. Factor y*x**2 - 2*x + 2/5.
2*(x - 1)*(4*x - 1)/5
Let k(r) be the second derivative of 0 + 1/24*r**4 - 1/240*r**5 - 1/6*r**3 - r + 3/2*r**2. Let h(b) be the first derivative of k(b). Factor h(x).
-(x - 2)**2/4
Let x(v) = 3*v**2 - v - 1. Let b be x(-1). Factor -4*i**2 + 4*i + 1 - b + 1 + i**2.
-(i - 1)*(3*i - 1)
Let i(z) be the first derivative of -z**6/7 + 4*z**5/5 - 13*z**4/7 + 16*z**3/7 - 11*z**2/7 + 4*z/7 + 5. Factor i(l).
-2*(l - 1)**4*(3*l - 2)/7
Let g(s) = -s**2 + 2. Let r be g(0). Let b be 6/(-8) - (-88)/32. Factor -10/9*d**3 - 2/9*d**4 - 4/9 - r*d**b - 14/9*d.
-2*(d + 1)**3*(d + 2)/9
Let d(w) be the third derivative of -w**8/504 - w**7/105 - w**6/60 - w**5/90 + 19*w**2. Factor d(q).
-2*q**2*(q + 1)**3/3
Let x(r) be the second derivative of -r**5/30 + r**4/9 - r**3/9 + 20*r. Solve x(f) = 0 for f.
0, 1
Let l(h) be the first derivative of h**2/2 - 6*h + 4. Let t be l(9). What is s in 0*s + 6/5*s**t - 8/5*s**4 + 2/5*s**2 + 0 = 0?
-1/4, 0, 1
Determine k so that -88*k**3 - 84*k**4 - 200*k**2 + 48*k + 115*k**2 + 145*k**2 - 16 = 0.
-1, 2/7, 2/3
Let a be (-19)/(-4) - (-9)/(-12). Factor -3/4*i**a + 3/4 + 0*i**2 + 3/2*i**3 - 3/2*i.
-3*(i - 1)**3*(i + 1)/4
Let h(d) be the first derivative of d**5/105 - d**4/14 + 4*d**3/21 - d**2/2 + 2. Let z(o) be the second derivative of h(o). Factor z(r).
4*(r - 2)*(r - 1)/7
Let d be (2 - 4)*(-939)/30. Let t be (-2)/(130/132 - 1). Factor -4/5 - 484/5*l**4 - 12*l - t*l**3 - d*l**2.
-(2*l + 1)**2*(11*l + 2)**2/5
Let g(r) = -r**3 - r**2 + 5*r + 2. Let f = -8 - -5. Let n be g(f). Factor 0*z**3 + z**4 + z**3 + z**5 - 2*z**n - z**2.
-z**2*(z - 1)**2*(z + 1)
Suppose -b = -0*b - 5. Suppose -2*d + 0*d = b*s - 18, 2*d - 14 = -3*s. Factor 2*t + 2/5 + 2*t**4 + 4*t**s + 4*t**3 + 2/5*t**5.
2*(t + 1)**5/5
Factor -48/17*a**2 + 0 + 288/17*a + 2/17*a**3.
2*a*(a - 12)**2/17
Let p(j) = 5*j**4 - 9*j**3 + 25*j**2 + j. Let a(h) = h**4 - 2*h**3 + 5*h**2. Let o(y) = 33*a(y) - 6*p(y). Factor o(m).
3*m*(m - 2)*(m - 