 that k(u) = 0.
-1, 0, 1
Let y(g) be the first derivative of g**4/34 + 2*g**3/17 - 8*g/17 + 7. Factor y(o).
2*(o - 1)*(o + 2)**2/17
Let z = 2 - 5. Let p(j) = 4*j**3 - 2*j**2 - 3. Let h(u) be the first derivative of -5*u**4/4 + u**3 + 4*u + 2. Let d(s) = z*h(s) - 4*p(s). Factor d(a).
-a**2*(a + 1)
Let q = -5 + 7. Factor 3*s - s**2 + 0*s**2 - q + s**2 - s**2.
-(s - 2)*(s - 1)
Suppose -2*d = 3*d - 30. Suppose 5*z + 4 = -3*o, -d = 2*z + z. Suppose 2*n**2 + n**2 - 5*n**2 + o = 0. What is n?
-1, 1
Determine p so that -3/8*p**3 + 9/8*p**2 - 3/2 + 0*p = 0.
-1, 2
Suppose -55 = -4*r - 47. Let t(o) be the first derivative of 3/8*o**r - 1/2*o - 4 - 1/12*o**3. Let t(c) = 0. Calculate c.
1, 2
Suppose 27*z - 22*z = 25. Let y(n) be the third derivative of 1/30*n**z + 2*n**2 + 1/6*n**3 + 0 + 5/48*n**4 + 1/240*n**6 + 0*n. Let y(c) = 0. Calculate c.
-2, -1
Let 4/11 - 2/11*l**3 + 8/11*l**2 - 10/11*l = 0. Calculate l.
1, 2
Let y(o) be the second derivative of o**4/48 - 5*o**3/24 + o**2/2 + 11*o. Determine w, given that y(w) = 0.
1, 4
Let g(q) be the third derivative of -7*q**2 + 0 + 2/15*q**5 + 1/6*q**4 + 0*q**3 + 1/30*q**6 + 0*q. Factor g(u).
4*u*(u + 1)**2
Let x(u) = -u**3 - 5*u**2 + 9*u - 5. Let q be x(-7). Let s be (q/(-25))/(6/(-20)). Solve y**4 + 5*y**4 - y**5 - 4*y**4 - y**3 + 0*y**s = 0.
0, 1
Let x = 28 - 10. Suppose 4*r - r = x. Factor 2 - z - 5*z**2 + r*z**2 + 4*z.
(z + 1)*(z + 2)
Let f(i) be the third derivative of 0 + 0*i + i**2 + 1/168*i**8 + 0*i**4 - 1/60*i**6 + 0*i**3 + 0*i**5 + 0*i**7. Let f(q) = 0. Calculate q.
-1, 0, 1
Let o(q) = -4*q**2 - 11*q - 1. Let m(v) = v**2 + 3*v. Let u(d) = 9*m(d) + 2*o(d). Let n be u(-6). Let 0*h**4 + h**4 - 2*h**5 - 2*h**3 - 5*h**n = 0. Calculate h.
-1, 0
What is k in -15*k**2 + 4 - 5/2*k**4 + 2*k + 23/2*k**3 = 0?
-2/5, 1, 2
Let x(h) be the second derivative of h**4/12 + h**2/2 - 3*h. Let a(r) = -2*r**3 - 10*r**2 - 12. Let s(z) = -a(z) - 12*x(z). Suppose s(f) = 0. What is f?
0, 1
Let t(u) be the first derivative of -u**2 + 2 + 2*u + 1/6*u**3. Factor t(q).
(q - 2)**2/2
Let d(s) be the first derivative of s**6/18 - 8*s**5/15 + 25*s**4/12 - 38*s**3/9 + 14*s**2/3 - 8*s/3 + 20. Suppose d(x) = 0. Calculate x.
1, 2
Let s(n) be the first derivative of -5*n**6/6 - n**5 + 15*n**4/2 + 70*n**3/3 + 55*n**2/2 + 15*n + 31. Determine d so that s(d) = 0.
-1, 3
Let h(v) be the second derivative of -v**5/4 - 5*v**4/6 + 5*v**3/6 + 5*v**2 - 22*v. Factor h(c).
-5*(c - 1)*(c + 1)*(c + 2)
Let n(t) be the first derivative of t**2/2 + 3*t - 4. Let x(a) be the first derivative of n(a). Let j(s) = s**2 + s + 1. Let q(d) = j(d) - x(d). Factor q(y).
y*(y + 1)
Let x(y) be the second derivative of y**6/60 - y**5/10 + y**4/4 - y**3/3 - y**2 + 3*y. Let v(h) be the first derivative of x(h). What is r in v(r) = 0?
1
Suppose -z**2 - 5/4*z - 1/4*z**3 - 1/2 = 0. Calculate z.
-2, -1
Factor -1/4*t**3 + 4 - 7/4*t**2 - 2*t.
-(t - 1)*(t + 4)**2/4
Suppose 2*l + 5 = -l + z, z + 7 = -3*l. Let b = l + 2. Factor 4 + b*d + 3*d**2 - 2*d**2 - 4*d.
(d - 2)**2
Factor n**5 - 8*n**3 - n**4 + 9*n**4 - 5*n**5 + 4*n**3.
-4*n**3*(n - 1)**2
Let u(t) = 3*t - 3. Let h be u(2). Let q be 4/((-16)/15) - (-15 + 11). Factor 1/4 - q*m - 1/4*m**2 + 1/4*m**h.
(m - 1)**2*(m + 1)/4
Let p = 8 + -8. Let t be (p*1/3)/1. Factor 0*q + t + 1/2*q**2.
q**2/2
Suppose 21 + 50*a + 86 - 19 + 5*a**2 + 37 = 0. Calculate a.
-5
Let c(m) be the first derivative of -6*m**5/5 + 2*m**4 + 10*m**3/3 - 2*m**2 + 12. Factor c(g).
-2*g*(g - 2)*(g + 1)*(3*g - 1)
Let y be 6/(-13) + 20/90. Let d = y + 6/13. Factor -2/9*i + d - 2/9*i**2 + 2/9*i**3.
2*(i - 1)**2*(i + 1)/9
Find t such that 22*t**3 + 40*t**3 + 6*t**4 + 8 - 90*t**3 - 32*t + 46*t**2 = 0.
2/3, 1, 2
Let d(a) be the second derivative of -a**5/100 - a**4/20 + a**3/30 + 3*a**2/10 + 23*a + 1. Let d(c) = 0. What is c?
-3, -1, 1
Let p(v) be the third derivative of -v**5/180 + v**4/6 - 2*v**3 + 26*v**2. Factor p(w).
-(w - 6)**2/3
Let l(r) be the first derivative of r**5/15 - r**4/6 + r**2/3 - r/3 + 8. Factor l(x).
(x - 1)**3*(x + 1)/3
Let w = 3/50 + 86/25. Let i(y) be the first derivative of w*y**2 - 5/3*y**3 + 2 - 2*y. Let i(f) = 0. Calculate f.
2/5, 1
Suppose -k = -30 + 27. Factor -2/3 + 1/3*y**4 - y**2 + 1/3*y**k - 5/3*y.
(y - 2)*(y + 1)**3/3
Let j(a) be the first derivative of -1 + 2/35*a**5 + 2/7*a + 4/7*a**2 + 2/7*a**4 + 4/7*a**3. Factor j(p).
2*(p + 1)**4/7
Let h be ((-7)/6 + 1)/(8/(-32)). Factor -2/3*w + 2/3*w**3 - h*w**2 + 2/3.
2*(w - 1)**2*(w + 1)/3
Suppose 3*z = -d - 1, 3*d - z = -1 + 8. Factor 2 + l**4 + 3*l**3 - l**2 - 5 + 2*l**d - 3*l + 1.
(l - 1)*(l + 1)**2*(l + 2)
Let i(j) be the second derivative of -j**7/56 - j**6/120 + j**5/16 + j**4/48 - j**3/12 + 14*j + 1. Let i(n) = 0. Calculate n.
-1, 0, 2/3, 1
Let v(s) be the third derivative of s**8/90720 - s**7/22680 - s**5/30 + 2*s**2. Let f(l) be the third derivative of v(l). Factor f(i).
2*i*(i - 1)/9
Let w be (-22)/6 - (2 - 0 - 6). Factor -1/3 + 0*n + w*n**2.
(n - 1)*(n + 1)/3
Let t = 4 + 1. Factor 5*s**4 - 4*s**3 - t*s**4 - 2*s**2 - 2*s**4.
-2*s**2*(s + 1)**2
Let t = -1 + 3. Factor 3*k**2 - t*k**2 - k**3 - k**4 - k + 2*k**3.
-k*(k - 1)**2*(k + 1)
Let v be (-432)/(-20) + (-4)/(-10). Suppose 5*x = -4*b + v, -2*b + 0*x - 2*x = -10. Suppose -1/2*o**b - 1/2*o + 0 + o**2 = 0. What is o?
0, 1
Let l(i) be the first derivative of 0*i**4 + 0*i - 1/20*i**5 + 0*i**3 + 0*i**2 + 4. Solve l(f) = 0 for f.
0
Suppose 0 = 3*l - 3*z - 39, -2*l + z = 4*z - 16. Suppose -4*x = 3*d + 11, -5*x - 8 = 2*d + l. Determine b so that -2/7*b + 2/7*b**d + 0 + 0*b**2 = 0.
-1, 0, 1
Solve 0 + 2/5*s - 2/5*s**3 + 1/5*s**4 - 1/5*s**2 = 0.
-1, 0, 1, 2
Let v be 33/15 + (35/(-25))/7. Determine h so that -1/3*h**3 + 0 - 1/3*h + 2/3*h**v = 0.
0, 1
Factor 9*d - 3*d - 55*d**3 - 3*d**2 + 25*d**3.
-3*d*(2*d + 1)*(5*d - 2)
Let i(b) be the first derivative of -b**9/756 + b**8/112 - b**7/42 + b**6/36 - b**4/24 + 2*b**3 + 5. Let l(o) be the third derivative of i(o). Solve l(f) = 0.
-1/4, 1
Let y(i) be the first derivative of -i**3/4 + 3*i**2/4 - 7. Factor y(z).
-3*z*(z - 2)/4
Suppose 4*f = -2*s - 10, 0 = s + 4*f - 0 + 15. Suppose r**4 + 6*r**4 - 2*r**2 - s*r**4 = 0. What is r?
-1, 0, 1
Suppose 3*p = s - 2*s - 10, -2 = 5*s - p. Let n be 0/s - 0/14. Find q such that -2/9*q**3 - 2/9*q**4 + 2/9*q + n + 2/9*q**2 = 0.
-1, 0, 1
Let i(m) = -5*m - 17. Let v be i(-4). Let j(z) be the first derivative of 0*z**2 + 0*z**v + 4 - 1/2*z**4 + 0*z. Factor j(y).
-2*y**3
Let w(k) be the third derivative of -1/105*k**7 - 3*k**2 - 4/5*k**5 + 0*k + 2/15*k**6 + 0 + 8/3*k**4 - 16/3*k**3. Factor w(t).
-2*(t - 2)**4
Let g(d) be the second derivative of 2*d**6/15 - 3*d**5/5 - 11*d. Factor g(m).
4*m**3*(m - 3)
Let d(k) = -2*k - 4. Let l be d(6). Let j(w) = 26*w**2 + 20*w + 26. Let s(r) = -5*r**2 - 4*r - 5. Let h(q) = l*s(q) - 3*j(q). Factor h(z).
2*(z + 1)**2
Let c(p) = p**2 - p - 1. Let g(m) = 2*m**3 - 4*m**2 + 4*m + 4. Let z = 15 + -21. Let f(r) = z*c(r) - g(r). Factor f(a).
-2*(a - 1)*(a + 1)**2
Let 2/3*p**2 + 0 - 2/3*p**4 + 1/3*p + 0*p**3 - 1/3*p**5 = 0. Calculate p.
-1, 0, 1
Let i(f) = 2*f - 9. Let w be i(6). Let g(m) = m**2 - m + 4. Let z be g(w). Factor -z*n**2 + 0*n - n + 11*n**2.
n*(n - 1)
Let m(k) be the first derivative of k**7/42 + k**6/6 + k**5/2 + 5*k**4/6 + 5*k**3/6 + k**2/2 + k + 3. Let x(z) be the first derivative of m(z). Factor x(c).
(c + 1)**5
Let u be (-4)/98*(4 + (-38)/6). Let p(t) be the first derivative of -u*t**3 + 2 - 1/14*t**4 + 2/7*t + 1/7*t**2. Factor p(k).
-2*(k - 1)*(k + 1)**2/7
Let z(v) = 9*v**5 - 8*v**4 + 5*v**3 + 3*v**2 + v. Let g(y) = 4*y**5 - 4*y**4 + 2*y**3 + 2*y**2. Let n(a) = -5*g(a) + 2*z(a). Factor n(o).
-2*o*(o - 1)**3*(o + 1)
Let o(v) be the first derivative of 3*v**4/4 + 2*v**3 + 3*v**2/2 + 1. Determine i so that o(i) = 0.
-1, 0
Let w(f) be the first derivative of 4*f**3/3 + 20*f**2 + 100*f + 8. Factor w(m).
4*(m + 5)**2
Let u(b) be the third derivative of b**6/30 - 4*b**5/15 + b**4/2 - 26*b**2. Suppose u(c) = 0. What is c?
0, 1, 3
Let f(d) be the second derivative of 2*d**6/255 - d**5/170 - d**4/102 - 5*d. What is c in f(c) = 0?
-1/2, 0, 1
Factor 1/2*z**2 + 1/2*z + 0 - 1/2*z**3 - 1/2*z**4.
-z*(z - 1)*(z + 1)**2/2
Let i(b) = -55*b**3 - 43*b**2 + 25*b. Let m(r) = -9*r**3 - 7*r**2 + 4*r. Let g(w) = -6*i(w) + 39*m(w). Let g(d) = 0. What 