f be (-65)/(-15) - 3/g. Solve 9/5*j**3 - 4/5*j**f + 0 + 1/5*j - 6/5*j**2 = 0.
0, 1/4, 1
Suppose 0 = -20*h + 15*h + 10. Let b(g) be the first derivative of 2/35*g**5 + h + 8/21*g**3 + 0*g**2 - 2/7*g**4 + 0*g. Solve b(a) = 0 for a.
0, 2
Factor 21*x - 68*x + 2 + x**3 - x**4 + 20*x + 3*x**2 + 22*x.
-(x - 1)**3*(x + 2)
Let w(k) be the second derivative of k**4/12 - k**3/2 + 16*k. What is g in w(g) = 0?
0, 3
Let k(h) be the first derivative of -h**5/70 - h**4/42 - 5*h - 3. Let q(x) be the first derivative of k(x). Factor q(y).
-2*y**2*(y + 1)/7
What is w in -9*w - 11*w**5 + 2 + 26*w**3 + w**4 - 2*w**4 + 2*w**5 + 7*w**4 = 0?
-1, 1/3, 2
Let s be 481/(-148) - -7*1. Factor 0 + 3/4*f**2 + 9/4*f**5 + 0*f - s*f**4 + 3/4*f**3.
3*f**2*(f - 1)**2*(3*f + 1)/4
Let v(c) = -2*c**3 - 4*c**2 - 18*c - 6. Let f(h) = h**3 + h. Let s(o) = -20*f(o) - 4*v(o). Factor s(b).
-4*(b - 3)*(b + 1)*(3*b + 2)
Let s(a) = 7*a**2 - 9*a - 3. Let f(z) = -22*z**2 + 26*z + 10. Let b(m) = -3*f(m) - 10*s(m). Suppose b(t) = 0. What is t?
0, 3
Factor 0*y + 0*y**2 + 0*y**3 + 0*y**4 - 3/4*y**5 + 0.
-3*y**5/4
Let v(c) = c**3 + 14*c**2 + 12*c - 13. Let u be v(-13). Let f = 0 + u. Factor 2/5*d**4 - 4/5*d**3 + f*d + 2/5*d**2 + 0.
2*d**2*(d - 1)**2/5
Let v(h) be the third derivative of -4*h**7/1365 - h**6/156 + h**5/130 + 5*h**4/156 + h**3/39 + 31*h**2. Let v(i) = 0. What is i?
-1, -1/4, 1
Factor 0*q**2 + 0 - 2/5*q**4 + 2/5*q**5 + 0*q + 0*q**3.
2*q**4*(q - 1)/5
Let c(b) be the third derivative of -8*b**6/75 + 4*b**5/25 - b**4/10 + b**3/30 - 9*b**2. Factor c(p).
-(4*p - 1)**3/5
Let r be (-3)/(-1) + (-16)/2. Let z = 8 + r. What is n in n**4 - 3*n - n**2 + 5*n**4 - 5*n**2 + z*n**5 = 0?
-1, 0, 1
Find u, given that 4/7*u**3 + 2/7*u**2 - 10/7*u + 4/7 = 0.
-2, 1/2, 1
Let q = -90 - -94. Let k = 131/468 - 3/52. Factor 4/9*t**3 - 2/9*t**q + 0*t + 0 - k*t**2.
-2*t**2*(t - 1)**2/9
Factor -32*u**3 - 8*u - u**5 + 13*u**3 + u**3 + 7*u**4 + 20*u**2.
-u*(u - 2)**3*(u - 1)
Determine s, given that 0 + 3/2*s - 15/4*s**2 = 0.
0, 2/5
Let m be 4*3/6 - 5. Let f(h) = h**5 + 3*h**4 + 3*h**3 + h**2. Let t(b) = -3*b**4 - 3*b**3. Let w(n) = m*f(n) - 4*t(n). Factor w(y).
-3*y**2*(y - 1)**2*(y + 1)
Let s = -1 + -10. Let a(g) = g + 13. Let c be a(s). Factor 0*j - 4*j**c - 2*j + 4 + 2*j**2.
-2*(j - 1)*(j + 2)
Let c(b) be the second derivative of b**7/315 - b**5/90 + b**2/2 + 3*b. Let n(j) be the first derivative of c(j). Factor n(p).
2*p**2*(p - 1)*(p + 1)/3
Let l(i) be the second derivative of -i**3/6 + 10*i**2 + 14*i. Let o be l(20). Determine b, given that 1/2*b**4 - 3/2*b**3 + 3/2*b**2 - 1/2*b + o = 0.
0, 1
Factor -2 + 6 + 4*g**2 - 9*g + 2*g**5 + 7*g**3 - 8*g**4 - g + g**3.
2*(g - 2)*(g - 1)**3*(g + 1)
Let h be 0 + 2 + -2 + 3. Suppose -7*c + 8 = -h*c. Find n such that -10/3*n + 8/3*n**c + 2/3 = 0.
1/4, 1
Let p(l) = -5*l**2 + 15*l - 2. Let c(s) = 1 - 4*s**2 + 5*s**2 - 4*s**2 + 8*s - 2. Let g(o) = 11*c(o) - 6*p(o). Factor g(n).
-(n + 1)*(3*n - 1)
Let a(b) be the second derivative of -b**4/42 + 5*b**3/21 - 4*b**2/7 - 18*b. Solve a(k) = 0.
1, 4
Suppose -5*l + 32 = 12. Suppose 0 = 3*g + l*r - 4, -12 = -4*g + 3*g + 4*r. Suppose 1 - 75/4*y**g + 25/4*y**5 - 13/4*y**2 - 3*y + 71/4*y**3 = 0. What is y?
-2/5, 2/5, 1
Let b(s) be the first derivative of -5*s**3/3 - 5. Factor b(r).
-5*r**2
Let q(u) be the second derivative of 1/15*u**6 - 1/3*u**4 + 0 + 0*u**3 + 8*u + 0*u**5 + u**2. Factor q(h).
2*(h - 1)**2*(h + 1)**2
Let i(v) be the second derivative of -v**5/210 + 2*v**4/21 - 16*v**3/21 + v**2/2 - 2*v. Let x(b) be the first derivative of i(b). What is t in x(t) = 0?
4
Let n(k) = k**2 - 12*k - 6. Let b be n(13). Let a be 2/b + (-182)/(-49). Factor -1/4*r**a - 3/4*r**3 + 0 - 1/4*r - 3/4*r**2.
-r*(r + 1)**3/4
Factor -1443*i**2 - 48 - 123*i**3 - 239*i**3 + 992*i**3 + 504*i - 75*i**4.
-3*(i - 4)**2*(5*i - 1)**2
Let w(s) be the second derivative of -s**7/126 + s**6/90 + s**5/15 - s**4/9 - 47*s. Find l, given that w(l) = 0.
-2, 0, 1, 2
Suppose -4*q - 3 = 3*o, 0 - 6 = 2*q. Let -6*l**5 - 14*l**4 - 35*l**o + 6*l**4 + 33*l**3 = 0. What is l?
-1, -1/3, 0
Suppose 7*w = 2*w - 20. Let q be (-1)/(w/66) - 4. Factor -q*c**3 - 5/2*c**2 - 2 + 8*c.
-(c + 1)*(5*c - 2)**2/2
Factor 0*q**5 + q**2 - 5*q**4 - q**3 + 6*q**4 + q**5 - 2*q**2.
q**2*(q - 1)*(q + 1)**2
Let v(j) = -2*j**3 + 3*j**2 - 2*j + 4*j**2 + 2*j**2. Let c(x) = -x**3 + 4*x**2 - x. Let m(w) = -5*c(w) + 2*v(w). Let m(r) = 0. What is r?
0, 1
Factor 3 - 5*c**3 - 10*c**2 - 4 + 1.
-5*c**2*(c + 2)
Let z(q) be the first derivative of 1/5*q**2 + 0*q + 3/10*q**4 - 2 - 2/25*q**5 - 2/5*q**3. Factor z(c).
-2*c*(c - 1)**3/5
Let s(a) = -40*a**3 + 180*a**2 + 200*a + 155. Let u(i) = -7*i**3 + 30*i**2 + 33*i + 26. Let v(f) = -6*s(f) + 35*u(f). Factor v(c).
-5*(c + 1)**2*(c + 4)
Let x(l) be the second derivative of 0 + 32/27*l**3 - 5/18*l**4 - 1/10*l**5 - 4/3*l**2 + 3*l. Factor x(h).
-2*(h + 3)*(3*h - 2)**2/9
Suppose 10 = 2*a - 0. Let g(k) be the third derivative of k**2 - 1/36*k**4 + 0*k + 0*k**3 + 0 + 0*k**a + 1/180*k**6. Suppose g(r) = 0. Calculate r.
-1, 0, 1
Let z(u) = u**3 - 5*u - 2. Let s be z(-2). Let m(w) be the third derivative of s + 0*w**3 - 1/100*w**5 - 1/300*w**6 + 0*w + 4*w**2 - 1/120*w**4. Factor m(r).
-r*(r + 1)*(2*r + 1)/5
Let h = 62346/7 - 8892. Let o(w) = w**2 + 2*w. Let i be o(-3). Solve -24/7*l - 8/7 + 304/7*l**i + 110/7*l**2 - h*l**4 - 40*l**5 = 0 for l.
-1, -2/5, -1/4, 2/7, 1
Suppose -5*f + 10 = -0. Let y be f/2 + 2 + 1. Suppose -o - 25/3*o**3 + 3*o**y - 2/3 + 7*o**2 = 0. Calculate o.
-2/9, 1
Let d(x) = -230*x**3 - 55*x**2 + 965*x + 295. Let s(v) = 33*v**3 + 8*v**2 - 138*v - 42. Let g(q) = -2*d(q) - 15*s(q). What is k in g(k) = 0?
-2, -2/7, 2
Suppose 4*n - 1 = 11. Factor -4*v**4 - 2 + 5*v**4 + v**5 - 3*v - 4*v**4 + 2*v**n + 2*v**2 + 3.
(v - 1)**4*(v + 1)
Let z(q) = -q + 2. Let j be z(-2). Let n(v) = -v + 3. Let b be n(0). Factor -f**3 + f**j - 4*f**2 - f**b + f**4.
2*f**2*(f - 2)*(f + 1)
Let o(b) be the first derivative of b**6/15 + b**5/10 + 3*b - 4. Let z(k) be the first derivative of o(k). Factor z(v).
2*v**3*(v + 1)
Let l(h) = h**3 - 5*h**2 - 12*h - 1. Let p be l(7). Let g = p + -11. Factor 4/7*r + 2/7 + 2/7*r**g.
2*(r + 1)**2/7
Suppose -4/7*v**4 + 0*v**2 - 2/7*v**3 + 6/7*v**5 + 0*v + 0 = 0. What is v?
-1/3, 0, 1
Suppose 4*m - 3 - 9 = 0. Suppose m*n + 0*o - o - 14 = 0, 0 = -5*n + 4*o + 28. Factor 1/2*q**2 - 1/2*q**5 + 0*q + 0 + 3/2*q**n - 3/2*q**3.
-q**2*(q - 1)**3/2
Let x(r) be the third derivative of r**6/360 - r**5/90 - r**4/24 + 6*r**2. Factor x(v).
v*(v - 3)*(v + 1)/3
Let o(i) be the third derivative of -i**6/1260 + i**5/210 - 2*i**3/3 - 5*i**2. Let m(z) be the first derivative of o(z). Solve m(x) = 0 for x.
0, 2
Factor -4 + 4*j**4 - 77*j**3 - 90*j**3 + 148*j**3 - 8*j + 27*j**2.
(j - 2)**2*(j - 1)*(4*j + 1)
Suppose 0 = 2*v + 1 - 5. Factor 6*n + v - 4 - 2*n**2 + 10*n**2.
2*(n + 1)*(4*n - 1)
Let i be 3*1*((-16)/18 - -1). Factor 0 + q**4 - i*q**2 + 0*q + 2/3*q**3.
q**2*(q + 1)*(3*q - 1)/3
Let p = 3 + -1. Factor -2*n**3 - 2*n**3 - 9*n + 15*n**p - 27 + n**3.
-3*(n - 3)**2*(n + 1)
Suppose -3*z + 4*s - 8 = 0, -4*z = -4*s + 2*s - 6. Factor -10*x**3 + 8*x**3 + x + 4*x**2 - z + x.
-2*(x - 2)*(x - 1)*(x + 1)
Suppose 3*u - 3*x = 0, -4 + 8 = 5*u - 3*x. Factor 1/2*f**4 - 5/2*f**3 + 4*f - 1/2*f**2 - u + 1/2*f**5.
(f - 1)**3*(f + 2)**2/2
Let q(k) = -k**4 + k**3 + k**2 + 1. Let s(u) = 5*u**5 + 11*u**4 - u**3 - 31*u**2 + 24. Let t(z) = -4*q(z) + s(z). Suppose t(l) = 0. What is l?
-2, -1, 1
Let n(i) = 3*i**4 - 39*i**3 - 39*i**2 + 3*i - 18. Let k(v) = -v**4 + 11*v**3 + 11*v**2 - v + 5. Let l(w) = 18*k(w) + 5*n(w). Factor l(p).
-3*p*(p - 1)**2*(p + 1)
Let r = 35/6 - 233/42. Factor 0*o**2 + r*o**3 + 0 + 0*o.
2*o**3/7
Let n be (-128)/20 - (4 + (-1 - 10)). Factor 1/5*z**4 - 1/5*z - n*z**3 + 3/5*z**2 + 0.
z*(z - 1)**3/5
Let b(r) be the second derivative of r**7/10080 - r**6/1440 - r**5/160 - r**4/6 - 3*r. Let x(m) be the third derivative of b(m). Find o, given that x(o) = 0.
-1, 3
Let y = -78 + -52. Let x be 6/2 + y/50. Find j such that x*j**4 - 4/5 - 6/5*j**2 - 2*j + 2/5*j**3 = 0.
-1, 2
Let t(m) = m**3 + 3*m**2 - 4*m - 1. Let h be t(-3). Suppose -4*v + 27 = h. What is f in -8/7*f**2 + 8/7*f - 2*f**3 + 0 + 6/7*f**5 + 8/7*f**v = 0?
-2, -1, 0, 2/3, 1
Factor 1/3*x**3 - 1/3*x + 1 - x**2.
(x - 3)*(x - 1)*(x + 