*5/5 + u**4/3 + 4*u**3/3 - 9*u. Factor p(q).
-4*q*(q - 2)*(q + 1)
Let n(w) be the second derivative of -w**7/5040 + w**5/240 - w**4/12 + 2*w. Let m(a) be the third derivative of n(a). Suppose m(k) = 0. What is k?
-1, 1
Let t be (-22)/(-108)*6 + -1. Factor 0 - 4/3*a**3 - 2/9*a**5 + 8/9*a**4 - t*a + 8/9*a**2.
-2*a*(a - 1)**4/9
Let j(c) = -4*c**2 - c. Let s(x) be the third derivative of -2*x**5/15 - x**4/12 + 3*x**2. Let m(t) = -13*j(t) + 6*s(t). Factor m(p).
p*(4*p + 1)
Let c(x) be the second derivative of x**4/3 - 2*x**3/3 - 4*x**2 + x - 9. Factor c(q).
4*(q - 2)*(q + 1)
What is l in 2/9*l**2 + 0*l - 2/9 = 0?
-1, 1
Let y be 6/(-3 + (-25)/(-5)). Let q(b) be the first derivative of 2 - 1/6*b**y + 0*b**2 + 0*b. Solve q(v) = 0.
0
Suppose -c + 1 + 1 = 0. Suppose -3*k = -3*d - 12, -5*d = 3*k - d + c. Factor 2*n**k - 8/3 - 2/3*n**3 + 0*n.
-2*(n - 2)**2*(n + 1)/3
Let z(g) be the third derivative of g**6/70 - 3*g**5/140 - g**4/56 + 4*g**2. Factor z(v).
3*v*(v - 1)*(4*v + 1)/7
Let f = 373/2 - 186. Factor 1 - f*u**2 - 1/2*u.
-(u - 1)*(u + 2)/2
Solve 5/9*i - 2/3 - 1/9*i**2 = 0.
2, 3
Let v(m) = -m**3 + 8*m**2 + 1. Suppose 0 = -4*l + 3*l + 8. Let k be v(l). Determine x, given that -1 + 2*x**2 + 4*x - 5*x**2 + x**2 - k = 0.
1
Let i(w) be the first derivative of w**3 - 6*w**2 + 12*w - 7. Let i(r) = 0. What is r?
2
Let t(p) be the first derivative of 1/27*p**6 - 1/9*p**4 - 4/27*p**3 - 4 + 2/45*p**5 + 1/9*p**2 + 2/9*p. Factor t(h).
2*(h - 1)**2*(h + 1)**3/9
Suppose 0 = 6*i - 4*i - 4. Let o be 0 + 3*(-4)/(-6). Factor -3*j**i + 0*j**o + 5*j**2 + 2*j.
2*j*(j + 1)
Let f(g) be the third derivative of -g**5/30 + g**4/12 - 2*g**2. Factor f(d).
-2*d*(d - 1)
Let f be (0 + 5)/(5/2). Let v(d) be the first derivative of -4/7*d**3 - 2/7*d**4 - 4/7*d**2 - 2/35*d**5 + f - 2/7*d. Solve v(k) = 0 for k.
-1
Suppose 0 = 2*n - 12. Let a be (n/(-4))/(6/(-16)). Factor -a + 2*o**2 + 3*o**2 - 2*o + o**2.
2*(o - 1)*(3*o + 2)
Let g(s) be the second derivative of s**5/90 + s**4/54 - 4*s**3/27 - 4*s**2/9 - 7*s. Factor g(w).
2*(w - 2)*(w + 1)*(w + 2)/9
Let v(h) be the third derivative of 0*h + 4*h**2 + 1/30*h**5 + 0 + 1/180*h**6 + 0*h**3 + 1/18*h**4. Factor v(t).
2*t*(t + 1)*(t + 2)/3
Let z(c) be the second derivative of -c**6/75 + c**5/50 + c**4/30 - c**3/15 + 12*c. Find d such that z(d) = 0.
-1, 0, 1
Let l(v) = 4*v**5 - 6*v**4 + 6*v**3 + 10*v**2 + 6*v. Let m(n) = -n**5 + n**4 - n**2 - n. Let j(w) = -l(w) - 6*m(w). Solve j(d) = 0 for d.
-1, 0, 2
Let t(h) be the third derivative of -h**6/360 - h**5/6 - 25*h**4/8 + h**2 + 5*h. Factor t(r).
-r*(r + 15)**2/3
Let b = -1/11 + 49/55. Factor -6/5*p + 2/5 + b*p**2.
2*(p - 1)*(2*p - 1)/5
Let d(t) be the first derivative of 9*t**4/4 + 11*t**3/3 - t**2/2 + 3*t - 1. Let v(w) = -2 + 2*w - w - 5 + 6. Let s(c) = -2*d(c) - 6*v(c). Factor s(u).
-2*u*(u + 1)*(9*u + 2)
Let b(r) be the second derivative of r**6/20 - r**5/8 - 7*r**4/36 + r**3/3 + 2*r**2/3 + 2*r. What is n in b(n) = 0?
-2/3, 1, 2
Let x(l) = 9*l**4 - 3*l**3 + 6*l. Let t(j) = 10*j**4 - 3*j**3 + 7*j. Let g(w) = -6*t(w) + 7*x(w). Suppose g(p) = 0. What is p?
0, 1
Solve 2*x**5 - 2*x**3 - 2*x**2 - 2*x - 3*x**5 + 6*x**4 - 1 + 5*x - 3*x**4 = 0 for x.
-1, 1
Let x(k) be the first derivative of -k**4/4 - 16*k**3/9 - 5*k**2/2 + 6*k + 13. Let x(r) = 0. What is r?
-3, 2/3
Let 5*f - 5*f**3 - 659*f**2 + 659*f**2 = 0. What is f?
-1, 0, 1
Let v(s) be the first derivative of 0*s + 0*s**3 - 1/2*s**4 + s**2 - 4. Factor v(t).
-2*t*(t - 1)*(t + 1)
Let j(u) be the second derivative of -2*u**4/3 + 2*u**3/3 + 2*u**2 - u. Determine g so that j(g) = 0.
-1/2, 1
Let q(r) be the second derivative of r**4/6 + r**3 + 2*r**2 + 7*r. Solve q(f) = 0 for f.
-2, -1
Let c(k) be the first derivative of 2*k**3/15 + 16*k**2/5 + 128*k/5 - 22. Find v, given that c(v) = 0.
-8
Let a(v) be the second derivative of -v**6/240 + 3*v**5/80 - 13*v**4/96 + v**3/4 - v**2/4 - 11*v. Solve a(z) = 0 for z.
1, 2
Let p(c) = -2*c - 7. Let d be p(-5). Let l be (-8)/d*(-3)/7. Factor 8/7*v - 2/7*v**2 - l.
-2*(v - 2)**2/7
Let t(m) be the third derivative of m**8/616 + 2*m**7/1155 - m**6/165 - m**5/165 + m**4/132 + m**2. Determine v so that t(v) = 0.
-1, 0, 1/3, 1
Suppose 0 = 34*p + 5 - 5. Find i such that -1/5*i**2 + 0*i + p - 1/5*i**3 = 0.
-1, 0
Let d(j) be the first derivative of -1 + 0*j + 1/4*j**4 + j**2 + j**3. Solve d(k) = 0 for k.
-2, -1, 0
Let v = 318 - 318. Solve 0 + 0*f + 1/5*f**4 + 0*f**3 + 1/5*f**5 + v*f**2 = 0.
-1, 0
Let t be (-4)/20 - (-688)/30. Let h = t - 67/3. Factor 0*p - h*p**3 - 2/5*p**2 + 0.
-2*p**2*(p + 1)/5
Let b(n) = 4*n + 6. Let t(w) = -9*w - 13. Let a(y) = y**2. Let i(x) = a(x) - t(x). Let o(f) = 10*b(f) - 4*i(f). Factor o(l).
-4*(l - 2)*(l + 1)
Let q(d) be the third derivative of d**9/22680 + d**8/10080 + d**4/8 + d**2. Let r(c) be the second derivative of q(c). Factor r(v).
2*v**3*(v + 1)/3
Let q(m) be the first derivative of -4*m**3/3 - 16*m**2 - 64*m - 9. Factor q(c).
-4*(c + 4)**2
Let j(z) be the first derivative of -1/9*z**2 + 2/27*z**3 - 2 + 0*z. Solve j(i) = 0 for i.
0, 1
Let l(b) be the second derivative of -b**6/90 + b**5/24 - b**4/24 - 7*b**3/6 + 4*b. Let o(s) be the second derivative of l(s). Solve o(n) = 0 for n.
1/4, 1
Let q(d) = 5*d**4 + 24*d**3 - 45*d. Let k(f) = -f**4 - 6*f**3 + 11*f. Let n(l) = -26*k(l) - 6*q(l). Solve n(c) = 0.
-1, 0, 2
Let m be (-6)/33 + (-764)/(-3960). Let q(t) be the second derivative of 0*t**4 + 0 + 0*t**2 + 2*t - m*t**6 - 1/60*t**5 + 0*t**3. Suppose q(y) = 0. What is y?
-1, 0
Let z be ((-20)/(-10))/(9/1). Let y = z + 10/9. Find p such that -2/3 - 2/3*p**2 - y*p = 0.
-1
Let i(k) be the second derivative of -k**10/3780 - k**9/3780 + k**8/1680 + k**4/3 - 3*k. Let u(l) be the third derivative of i(l). Let u(q) = 0. What is q?
-1, 0, 1/2
Solve -z - 2*z**2 - z**3 + 4*z + 0*z**3 = 0.
-3, 0, 1
Let n(f) = -f + 5. Let d be n(0). Factor 3*s - 4*s**2 - 2 - 5*s + 3*s**2 + d*s.
-(s - 2)*(s - 1)
Suppose 2*r - 4*r = 2*s, -3*s - 4*r = 0. Let v(o) be the first derivative of -4 - 2/5*o**5 - 2*o + s*o**4 + 4/3*o**3 + 0*o**2. What is g in v(g) = 0?
-1, 1
Let k(c) be the first derivative of -3*c**4/4 + 2*c**3 + 25. Determine d so that k(d) = 0.
0, 2
Factor -5*t - 37 - 8*t**2 - 7*t**2 + 5*t**4 + 47 + 5*t**3.
5*(t - 1)**2*(t + 1)*(t + 2)
Let b(o) = -38*o - 3. Let d be b(3). Let k be d/(-63) + -1 + 0. Let -6/7*r**2 + 2/7*r**3 - 2/7 + k*r = 0. What is r?
1
Let f(n) be the second derivative of -1/6*n**4 - 1/21*n**7 + 1/10*n**5 + 0 + 0*n**3 - n + 1/15*n**6 + 0*n**2. Factor f(x).
-2*x**2*(x - 1)**2*(x + 1)
Let i(h) be the first derivative of -h**4/24 + h**3/6 - h**2/4 - h + 2. Let v(r) be the first derivative of i(r). Find b such that v(b) = 0.
1
Let t(u) be the second derivative of 0 - 1/80*u**5 + 1/8*u**4 + 4*u - u**2 - 1/2*u**3. Let v(p) be the first derivative of t(p). Solve v(j) = 0 for j.
2
Solve 24/17*i**2 - 2/17*i**3 - 96/17*i + 128/17 = 0 for i.
4
Let m(x) = x**2 - 2*x + 4. Suppose -3*h + 3*n = 3, h + n + 4 = -1. Let w(r) = -r**2 + 0*r**2 - 20 + 2*r + 17. Let a(q) = h*w(q) - 2*m(q). Factor a(o).
(o - 1)**2
Let j(v) be the third derivative of -v**8/448 - v**7/70 - v**6/32 - v**5/40 - 19*v**2 + 2*v. Factor j(c).
-3*c**2*(c + 1)**2*(c + 2)/4
Let i(f) be the first derivative of f**6/12 - 3*f**5/10 + f**4/4 + f**3/3 - 3*f**2/4 + f/2 - 3. Find q, given that i(q) = 0.
-1, 1
Let k(l) = l**2 + l - 1. Let y be k(-3). Factor z**y - z**5 + z**5.
z**5
Let z(g) be the third derivative of -2*g**7/105 - g**6/30 + g**5/15 + g**4/6 - 6*g**2. Determine i so that z(i) = 0.
-1, 0, 1
Let b be (20/6 + -2)/((-50)/(-75)). Determine v so that 0*v + 2/7*v**b - 2/7 = 0.
-1, 1
Let x(n) be the third derivative of -5*n**8/168 + 3*n**7/14 - 2*n**6/3 + 7*n**5/6 - 5*n**4/4 + 5*n**3/6 + 2*n**2. Factor x(j).
-5*(j - 1)**4*(2*j - 1)
Let q(l) = l**3 + 5*l**2 + 5*l + 4. Let g be q(-4). Suppose a + a = g. Factor 4/7*t**2 + 0*t**3 + a*t - 2/7 - 2/7*t**4.
-2*(t - 1)**2*(t + 1)**2/7
Let l(p) be the third derivative of p**5/15 + 7*p**4/6 + 4*p**3 - 2*p**2. Factor l(y).
4*(y + 1)*(y + 6)
Let r(b) be the first derivative of 1/2*b + 1/10*b**5 - 1/3*b**3 + 3 + 1/4*b**4 - 1/12*b**6 - 1/4*b**2. Factor r(w).
-(w - 1)**3*(w + 1)**2/2
Let a(g) = -g. Let s be a(-3). Suppose -5*o - o**5 - 4 - 7*o**3 + 10*o + 3*o - 4*o**2 + s*o**2 + 5*o**4 = 0. Calculate o.
-1, 1, 