erivative of 0 - 1/6*f**4 + 1/6*f**3 + 1/20*f**5 - 4*f + 0*f**2. Determine u, given that c(u) = 0.
0, 1
Let n(p) be the second derivative of -p**4/24 - 5*p**3/6 + 11*p**2/4 - 10*p + 2. Factor n(u).
-(u - 1)*(u + 11)/2
Let s(f) be the third derivative of f**6/300 - 5*f**2. Let s(l) = 0. What is l?
0
Let d = -7/20 + 31/60. Let h(g) be the third derivative of 0*g + 1/15*g**6 - g**2 - d*g**5 + 1/12*g**4 + 0 + 0*g**3. Find k such that h(k) = 0.
0, 1/4, 1
Let u(w) = -w + 1. Let s be u(-2). Factor -1 + 1 - 10*h**s + 36*h**2 - 50*h**2 - 4*h.
-2*h*(h + 1)*(5*h + 2)
Suppose 3*a - 5 - 1 = -4*s, 4*s = -5*a + 10. Suppose 3/7*f**a + 0 - 1/7*f = 0. What is f?
0, 1/3
Let q(p) be the first derivative of 2*p**5/55 - 3*p**4/22 + 4*p**3/33 - 14. Suppose q(g) = 0. What is g?
0, 1, 2
Let c be 3/(-192)*6/(-3). Let g(l) be the third derivative of 0*l - 3*l**2 + 1/480*l**6 - 1/80*l**5 - 1/24*l**3 + c*l**4 + 0. Determine s, given that g(s) = 0.
1
Let f(z) be the second derivative of -z**4/60 + z**2/10 - 12*z. Factor f(c).
-(c - 1)*(c + 1)/5
Let n(l) be the third derivative of 0*l + 0 + 0*l**5 + 0*l**4 + 0*l**3 + 1/840*l**7 - 1/480*l**6 - 4*l**2. Solve n(i) = 0.
0, 1
Let d(u) be the first derivative of 2/21*u**3 + 2/7*u - 2 - 2/7*u**2. Determine y, given that d(y) = 0.
1
Let m(o) = 4*o - 4. Let f be m(2). Let b(g) = -2*g - 6. Let j be b(-4). Factor 2*c - j*c**5 + 2*c**2 + 6*c**f - 2*c - 6*c**3.
-2*c**2*(c - 1)**3
Let f(c) be the first derivative of c**4/16 - c**2/8 + 3. Suppose f(s) = 0. Calculate s.
-1, 0, 1
Let u(j) be the second derivative of -1/3*j**4 - 6*j**2 - 8/3*j**3 - 6*j + 0. Factor u(s).
-4*(s + 1)*(s + 3)
Let z(t) be the third derivative of 0 + 1/60*t**5 + 3/2*t**3 + 0*t + 1/4*t**4 + 2*t**2. Factor z(d).
(d + 3)**2
Let v(r) be the second derivative of -r**4/24 + r**3/12 + 7*r. Factor v(x).
-x*(x - 1)/2
Solve -23*v**2 + 17*v**3 - v**2 + 128 - 13*v**3 = 0.
-2, 4
Suppose 2*v = 3*v. Let z(t) be the third derivative of 0*t**4 + 0*t**5 + 0 - 1/120*t**6 + v*t**3 - 2*t**2 + 0*t. Factor z(s).
-s**3
Let q(i) = -8*i**3 - 6*i**2 + 12*i - 2. Suppose -5*j + 6*j - 2 = 0. Let k(g) = j*g**2 + 4 - g**2 + g**3 - g - 2 - 1. Let a(f) = 6*k(f) + q(f). Factor a(x).
-2*(x - 2)*(x + 1)**2
Let q be 3*(-6)/27*(-9)/7. Solve -q*k**2 + 0 - 4/7*k = 0 for k.
-2/3, 0
Let z(o) be the third derivative of 0*o**3 + 0*o**4 + 1/90*o**5 + 0 - 1/72*o**6 - 1/90*o**7 + 4*o**2 + 0*o. Solve z(y) = 0.
-1, 0, 2/7
Let b(l) = -18*l**2 + 12*l - 5. Let v(j) = -9*j**2 + 6*j - 2. Let k(p) = 2*b(p) - 5*v(p). Let k(i) = 0. Calculate i.
0, 2/3
Let a(z) be the third derivative of 0*z + 1/39*z**3 + 1/39*z**4 + 1/130*z**5 - 2*z**2 + 0. Determine g, given that a(g) = 0.
-1, -1/3
Let k(h) = h**3 - 9*h**2 + 9*h - 4. Let p be k(8). What is f in p + 0*f + f + f - 2*f**2 = 0?
-1, 2
Let h be (-8)/(-20) - -26*(-1)/(-10). Determine g, given that 0 + 0*g + 1/2*g**2 + 1/4*g**h = 0.
-2, 0
Solve -3/2*g**3 + 0 + 3*g**2 - 3/2*g = 0.
0, 1
Let m = -146 + 149. What is l in -1/2*l**4 + 2*l**3 - m*l**2 + 2*l - 1/2 = 0?
1
Let b(t) = -16*t**5 - 4*t**4 - 10*t**3 + 10. Let n(c) = 5*c**5 + c**4 + 3*c**3 - 3. Let j(q) = 6*b(q) + 20*n(q). Factor j(z).
4*z**4*(z - 1)
Let i be 7/(-2*(-5)/(-10)). Let n be 4/(-6) + i/(-6). Factor -1/2 + 2*l - n*l**4 + 2*l**3 - 3*l**2.
-(l - 1)**4/2
Let i = 5/29 + 443/290. Let v = -13/10 + i. Solve -v + 4/5*m - 2/5*m**2 = 0 for m.
1
Suppose 4*k = -5*p - 20, -3*p = -0*k + 3*k + 12. Suppose k + 0*u + 1/4*u**3 + 1/2*u**2 = 0. What is u?
-2, 0
Let r(j) = j**2 + 7*j + 4. Let w be r(-7). Let u(f) = f**2 - 4*f + 2. Let c be u(w). Factor -4/5*q + 2/5 + 2/5*q**c.
2*(q - 1)**2/5
Let z(y) be the first derivative of -1/10*y**2 - 2 - 2/15*y**3 + 0*y - 1/20*y**4. Determine i so that z(i) = 0.
-1, 0
Solve 2/5*j**2 - 2/3*j**3 + 0 + 4/15*j = 0 for j.
-2/5, 0, 1
Let a(l) be the second derivative of -l**6/70 - 3*l**5/70 - l**4/28 + 4*l. Factor a(c).
-3*c**2*(c + 1)**2/7
Let c be ((-1)/((-6)/(-9)))/(3/(-8)). Let n(m) be the third derivative of 0 + 2*m**2 + 0*m**c + 1/30*m**5 + 0*m - 1/3*m**3. What is i in n(i) = 0?
-1, 1
Suppose 3*m + 3 = 2*h + 12, 4*h - 3*m = -9. Factor h*b**2 + 1/2*b + 1/4*b**4 - 1/4 - 1/2*b**3.
(b - 1)**3*(b + 1)/4
Let k = -18 + 23. Let h(n) be the second derivative of 1/54*n**4 + 0*n**2 - 1/90*n**k + 0 - 1/135*n**6 + 1/27*n**3 - n. Find i, given that h(i) = 0.
-1, 0, 1
Let b(p) be the second derivative of p**6/80 + 9*p**5/160 - p**4/16 - 3*p**3/4 - 3*p**2/2 - 21*p. Determine k, given that b(k) = 0.
-2, -1, 2
Suppose -u = -5*u - 3*u. Let z(h) be the second derivative of 2*h + 0*h**2 + 1/9*h**3 + u + 0*h**4 - 1/30*h**5. Factor z(p).
-2*p*(p - 1)*(p + 1)/3
Let g = -686 - -688. Suppose 1 + 1/2*v - 1/2*v**g = 0. Calculate v.
-1, 2
Let d(a) be the third derivative of 1/24*a**4 + 0*a - 7/120*a**5 + 0 + 1/12*a**3 + 1/60*a**6 + a**2. Factor d(w).
(w - 1)**2*(4*w + 1)/2
Let v(m) be the second derivative of -m**5/4 + 5*m**4/2 - 10*m**3 + 20*m**2 + 12*m. Solve v(y) = 0 for y.
2
Let s(d) = -d + 1 + 0*d + d**2 + d**2 - 3*d**2. Suppose -2 = -3*j + 1. Let i(n) = -8*n**2 + 2*n - 2. Let r(v) = j*i(v) - 6*s(v). Factor r(a).
-2*(a - 2)**2
Let w be 22/(-2) + 1 + 0. Let k = w - -13. What is t in 50/9*t**5 - 8/9 + 10*t**4 - 16/3*t - 82/9*t**2 - 2/9*t**k = 0?
-1, -2/5, 1
Let b(r) be the third derivative of -2*r**6/45 - 2*r**5/45 + r**4/18 + r**3/9 + 7*r**2. Determine p so that b(p) = 0.
-1/2, 1/2
Suppose 4*i = 5*m + 4, m - 2 = 3*i - 5. Factor 4/13*d - 2/13*d**2 + m.
-2*d*(d - 2)/13
Suppose 0 = 2*q - 0*q. Let l = 2 + q. Determine a, given that 2*a**4 - 5*a**4 + 2*a + a**l + 0*a**4 - 4*a**3 = 0.
-1, 0, 2/3
Let m(b) = -2*b**3 - b**2 - 2*b - 1. Let d be m(-1). Solve 46 + 134*o**2 + 298*o**d - 192*o**3 - 324*o + 35 = 0 for o.
3/4
Factor -j**4 - j**5 + 2*j**3 + 0 - j - 12*j**2 + 14*j**2 + 0*j**5 - 1.
-(j - 1)**2*(j + 1)**3
Let k(v) be the second derivative of v**6/30 - v**5/20 - v**4/4 + 5*v**3/6 - v**2 + 7*v. Factor k(i).
(i - 1)**3*(i + 2)
Let s(c) be the first derivative of 3 + 1/14*c**4 + 0*c + 1/7*c**2 + 4/21*c**3. Determine q, given that s(q) = 0.
-1, 0
Let g(o) be the first derivative of -2*o**6/15 - 4*o**5/5 - 2*o**4 - 8*o**3/3 - 2*o**2 + 2*o - 4. Let x(r) be the first derivative of g(r). Factor x(b).
-4*(b + 1)**4
Determine i, given that 2/9*i**3 + 0*i + 2/9*i**2 + 0 = 0.
-1, 0
Suppose 2/5*z**2 + 0 + 0*z - 2/5*z**3 = 0. Calculate z.
0, 1
Suppose 12/7*k**3 + 12/7 - 4*k - 4*k**2 = 0. What is k?
-1, 1/3, 3
Let f = 6 + -4. Factor 3 - g**3 + 6*g**2 - 7 - 3*g**f.
-(g - 2)**2*(g + 1)
Let b = 81 + -79. Factor 3/2*n**4 + 3*n - 3/2 + 0*n**b - 3*n**3.
3*(n - 1)**3*(n + 1)/2
Let z(s) = -s**3 - 13*s**2 + 11*s - 38. Let m be z(-14). Factor 1/5*k**2 + 0 + 1/5*k**m + 0*k + 2/5*k**3.
k**2*(k + 1)**2/5
Let i = 78 + -75. Let t(o) be the first derivative of 3/8*o**4 + 1/5*o**5 + 1 + 0*o**2 - 1/3*o**i + 0*o. Factor t(g).
g**2*(g + 2)*(2*g - 1)/2
Suppose 0 = -3*v + 2*v + 3. Let a(w) = -10*w**2 + 10*w + 8. Let m(n) = 9*n**2 - 10*n - 7. Let z(o) = v*a(o) + 4*m(o). Find h such that z(h) = 0.
-1/3, 2
Factor 4 + 6*c + c**2 - 1/2*c**4 - 3/2*c**3.
-(c - 2)*(c + 1)*(c + 2)**2/2
Let b(i) be the second derivative of -5*i**4/12 - 2*i**3/3 - 3*i**2/2 - i. Let l(s) = -4*s**2 - 3*s - 2. Let v(w) = 3*b(w) - 4*l(w). What is m in v(m) = 0?
-1, 1
Let a = -35579/60 - -593. Let c(j) be the second derivative of 2*j + 0*j**4 + 0*j**2 + 0 + a*j**6 + 1/24*j**3 - 3/80*j**5. Let c(v) = 0. Calculate v.
-1/2, 0, 1
Let o(v) = -7*v**2 + 7*v + 2. Let l(s) = 8*s**2 - 8*s - 2. Let z(a) = -6*l(a) - 7*o(a). Solve z(y) = 0.
-1, 2
Let g = -190 + 571/3. Find b such that g*b**2 - 2/3 - 1/3*b = 0.
-1, 2
Suppose 30 = -6*h + 11*h. Let r = -17/3 + h. Suppose 2/3*w**2 + r*w**3 - 1/3*w - 2/3 = 0. Calculate w.
-2, -1, 1
Let h(i) be the first derivative of i**6/6 - 2*i**5/5 + i**4/4 + 4. Let h(u) = 0. Calculate u.
0, 1
Suppose -2*m - 2 = 2*z, -2*z - 17 = -5*m + 2*m. Let w(u) be the first derivative of 0*u**m + 1/5*u**5 + 2 - u + 1/2*u**4 - u**2. Factor w(d).
(d - 1)*(d + 1)**3
Suppose 4*t + 4 = 4*k - 0*k, -2*t = 3*k - 8. Let w(j) be the third derivative of 0*j**4 + 0*j + 1/180*j**5 + 3*j**k + 0 - 1/18*j**3. Let w(n) = 0. Calculate n.
-1, 1
Suppose u - 10 = 6*u + 5*p, 4*u + 3*p + 6 = 0. Find q such that -2/9*q + 2/9*q**2 + u = 0.
0, 1
Let a(n) be the third derivative of -n**6/60 + n**5/5 - n**4 + 