*m**2*(m - 1)/9
Find f, given that 2/3*f + 1/6*f**2 - 1/6*f**4 + 0 - 2/3*f**3 = 0.
-4, -1, 0, 1
Factor 3/7*k**4 - 18/7*k**3 + 0 + 33/7*k**2 - 18/7*k.
3*k*(k - 3)*(k - 2)*(k - 1)/7
Let v(o) = 11*o**2 + 109*o - 8. Let w be v(-10). Let c(s) be the second derivative of -2*s**3 + 0 + 5*s - 2*s**w + 7/12*s**4. Solve c(n) = 0.
-2/7, 2
Factor -3/7*w**2 - 432/7 + 72/7*w.
-3*(w - 12)**2/7
Let y be (-145)/(-174) - 6/8. Let r(b) be the third derivative of y*b**4 + 0*b**3 + 0 + 0*b + 1/90*b**5 - b**2. Factor r(m).
2*m*(m + 3)/3
Let k(p) be the second derivative of -p**6/90 - p**5/12 + 7*p**4/18 + 8*p - 3. Factor k(a).
-a**2*(a - 2)*(a + 7)/3
Let h(p) be the second derivative of 3/20*p**5 + 0 + 3/5*p**6 - 22*p + 1/14*p**7 + 0*p**2 - 6*p**4 + 8*p**3. Solve h(w) = 0 for w.
-4, 0, 1
Let o(s) be the second derivative of -s**7/210 - 7*s**6/150 - 7*s**5/50 - s**4/30 + s**3/2 + 9*s**2/10 - 6*s + 9. Find r such that o(r) = 0.
-3, -1, 1
Let m(g) = 2*g - 40. Let o(l) = 1. Let b(x) = 2*m(x) + 36*o(x). Let c be b(11). Factor 1/5*r**3 + 0*r + 0*r**4 + c*r**2 - 1/5*r**5 + 0.
-r**3*(r - 1)*(r + 1)/5
Let f(j) be the first derivative of -j**5/20 - j**4/12 + 5*j**3/6 - 3*j**2/2 + 8*j - 2. Let u(h) be the first derivative of f(h). Factor u(t).
-(t - 1)**2*(t + 3)
Let y(l) be the second derivative of -l**4/42 + l**3/3 - 6*l**2/7 + 300*l. Factor y(x).
-2*(x - 6)*(x - 1)/7
Let v(f) be the third derivative of 1/315*f**7 + 0*f + 1/18*f**6 + 6*f**2 + 0 + 2/5*f**5 + 3/2*f**4 + 3*f**3. Factor v(p).
2*(p + 1)*(p + 3)**3/3
Suppose -14*v = -12*v. Factor 37 + v - 17 - 5*n**2.
-5*(n - 2)*(n + 2)
Let h(s) = -2*s**3 - 18*s**5 + 22*s**5 - 2*s - 2 + 5*s**2 - s**2. Let q(f) = 5*f**5 + f**4 - 2*f**3 + 5*f**2 - 3*f - 3. Let y(i) = 3*h(i) - 2*q(i). Factor y(v).
2*v**2*(v - 1)**2*(v + 1)
Let r(f) be the third derivative of -f**7/1050 - f**6/300 + f**5/25 + 3*f**4/20 - 9*f**3/10 - 321*f**2. Find m such that r(m) = 0.
-3, 1, 3
Let y = -71 + 74. Let d be y/12 - (-1 - 2/(-40)). Factor 4/5*j + d - 2/5*j**2.
-2*(j - 3)*(j + 1)/5
Let a(t) be the third derivative of -t**6/1440 - t**5/240 - t**4/96 + 3*t**3 + 3*t**2. Let r(m) be the first derivative of a(m). Find o such that r(o) = 0.
-1
Let q(p) be the first derivative of -p**6/24 + 7*p**4/16 + p**3/2 + 32. Suppose q(s) = 0. What is s?
-2, -1, 0, 3
Let r(l) be the first derivative of -3/2*l**2 - 1/4*l**3 + 0*l + 6. Factor r(c).
-3*c*(c + 4)/4
Let l(v) = -164*v - 18*v**2 - 2*v**3 - 4*v**3 + 149*v - 6. Let d(p) = 5*p**3 + 17*p**2 + 15*p + 7. Let k(s) = 3*d(s) + 4*l(s). Factor k(x).
-3*(x + 1)**2*(3*x + 1)
Let t = -3910 - -3912. Determine d, given that 2/5*d**3 + 0 + 8/5*d**t + 8/5*d = 0.
-2, 0
Let y(v) be the second derivative of 5*v**4/12 + 50*v**3/3 + 95*v**2/2 + 158*v. Factor y(d).
5*(d + 1)*(d + 19)
Let n(g) = g**3 + 3*g**2 - 13*g - 11. Let h be n(-5). Let w be 2 - h - 33/(-12). Suppose -3/4*z**2 - w*z + 0 = 0. What is z?
-1, 0
Determine g so that g**3 + 1804 + 7*g**3 - 1820 - g**4 - 24*g**2 + 32*g = 0.
2
Factor -2/9*x**2 + 62/9 - 20/3*x.
-2*(x - 1)*(x + 31)/9
Let p = 20 + -18. Suppose t + q = -p, -2*q - 2 = 6. Factor -1 - 1 + 4*n**3 - 2 - 6*n**2 - 4*n + 10*n**t.
4*(n - 1)*(n + 1)**2
Let a be (-40)/16*(-4 - -2). Let u(s) be the second derivative of 0*s**3 - 5*s + 0 - 1/40*s**6 + 0*s**2 - 1/16*s**4 + 3/40*s**a. Factor u(t).
-3*t**2*(t - 1)**2/4
Let z(c) be the second derivative of -c**5/5 + 8*c**4 - 96*c**3 + 8*c + 10. Factor z(n).
-4*n*(n - 12)**2
Let t(f) be the second derivative of -f**6/75 - f**5/25 + 43*f**4/30 - 8*f**3/3 - 9*f - 9. Factor t(r).
-2*r*(r - 5)*(r - 1)*(r + 8)/5
Let c(d) be the second derivative of d**5/240 + d**4/16 + 3*d**3/8 - 3*d**2 - 5*d. Let a(j) be the first derivative of c(j). Factor a(w).
(w + 3)**2/4
Let h(y) = 3*y**2 + 16*y + 37. Let r(b) = -b**2 - 8*b - 18. Let z(p) = 2*h(p) + 5*r(p). Let n(m) = 2*m**2 - 8*m - 16. Let f(x) = 2*n(x) - 3*z(x). Factor f(k).
(k + 4)**2
Let a(b) be the first derivative of -b**4/12 + 5*b**3/6 - 2*b**2 - 25*b + 1. Let l(u) be the first derivative of a(u). Factor l(k).
-(k - 4)*(k - 1)
Let s(k) be the second derivative of -k**6/15 + 53*k**5/10 + 109*k**4/6 + 55*k**3/3 + 558*k. Solve s(c) = 0.
-1, 0, 55
Suppose 4*k - 9 = -5*l, -3*l = -0*l - 3. Let u be (-2 - k)/(1 - 2). Determine v, given that u - 2 + v**2 - 2*v**2 = 0.
-1, 1
Suppose 37*z + 67 = 38*z. Let n = z + -334/5. Solve -n*y**2 + 3/5*y - 2/5 = 0 for y.
1, 2
Let k be ((-7)/2 - -2)*-1. Factor k*v**2 - 1 - 1/2*v**4 + 1/2*v - 1/2*v**3.
-(v - 1)**2*(v + 1)*(v + 2)/2
Suppose -7 = -2*h + 3*z - 2*z, 30 = 3*h + 5*z. Suppose -h*j - 2*j**2 - 2*j**2 + 5*j**2 + 4*j**2 = 0. What is j?
0, 1
Let c(r) = 2*r**2 - 22*r + 2. Let o be c(11). Suppose -2*f = -o*k + 20, -k + 4*k - 10 = -f. Factor 8/5 + 4/5*x**k + 64/5*x**2 + 56/5*x**3 + 24/5*x**4 + 36/5*x.
4*(x + 1)**4*(x + 2)/5
Let i(w) be the third derivative of -5/6*w**4 - 5/336*w**8 + 0*w**5 + 0 + 5/24*w**6 + 0*w**3 + 0*w - 10*w**2 + 0*w**7. Find q such that i(q) = 0.
-2, -1, 0, 1, 2
Let y(d) be the second derivative of -3*d**6/40 + d**5/5 + 5*d**4/8 - d**3 - 19*d**2/2 - 9*d. Let s(m) be the first derivative of y(m). Factor s(b).
-3*(b - 2)*(b + 1)*(3*b - 1)
Let h(j) = -2*j**2 + 3*j**2 + 4*j + 51 - 53. Let x(s) = -3*s**2 - 13*s + 7. Let t be (-2 + -13)*4/(-10). Let c(v) = t*x(v) + 21*h(v). Solve c(n) = 0 for n.
-2, 0
Suppose -30*i = -22*i. Factor -2/7*g**2 + i + 2/7*g.
-2*g*(g - 1)/7
Find i such that -16/5*i + 36/5*i**3 + 1/5*i**4 - 3/5*i**5 + 36/5*i**2 + 0 = 0.
-2, 0, 1/3, 4
Suppose -7*v**3 - 1185*v**4 - 10*v + 17*v**3 + 45*v**2 + 1180*v**4 - 40 = 0. What is v?
-2, -1, 1, 4
Let z(c) be the second derivative of -c**6/50 + 3*c**5/25 - c**4/4 + c**3/5 - 235*c. Let z(h) = 0. Calculate h.
0, 1, 2
Let v be 48/60 + 48/440. Solve 2/11*d + 4/11*d**3 + v*d**2 - 4/11 = 0 for d.
-2, -1, 1/2
Let w(x) be the first derivative of 2*x**5/5 - 6*x**3 - 4*x**2 + 24*x + 95. Let w(t) = 0. Calculate t.
-2, 1, 3
Let t be 5*(5 - 426/90). Let q(y) be the third derivative of 1/3*y**4 + 0*y + y**2 + 0 + t*y**3 + 1/30*y**5. Find o such that q(o) = 0.
-2
Let a(t) be the first derivative of 0*t + 2*t**2 + 2/3*t**3 - 7. Factor a(u).
2*u*(u + 2)
Let v(y) = -2*y**2 - 4*y + 4. Let z = -18 - -18. Let j = z + 3. Let h(x) = x**2 + 4*x - 3. Let o(b) = j*v(b) + 4*h(b). Let o(k) = 0. Calculate k.
0, 2
Let x = 6247/56 + -780/7. Determine a, given that 1/8*a**2 - x + 0*a = 0.
-1, 1
Let c(o) be the second derivative of 1/25*o**5 - 1/15*o**4 - 16*o - 2/15*o**3 + 2/5*o**2 + 0. Suppose c(v) = 0. Calculate v.
-1, 1
Let i(p) = -p**5 - p**4 + p**3 - 3*p**2 + 1. Let s(n) = 3*n**5 + 39*n**4 + 133*n**3 + 157*n**2 + 64*n + 1. Let y(t) = -i(t) + s(t). Factor y(l).
4*l*(l + 1)**2*(l + 4)**2
Let p(s) = -2*s**2 + 160*s + 1597. Let u(l) = -12*l**2 + 800*l + 7984. Let m(t) = -16*p(t) + 3*u(t). Find y such that m(y) = 0.
-20
Let v(s) be the first derivative of s**5/360 + 7*s**4/72 + 49*s**3/36 - 18*s**2 - 2. Let g(p) be the second derivative of v(p). Factor g(t).
(t + 7)**2/6
Let w(i) be the third derivative of -i**11/166320 + i**9/7560 + i**5/30 - 12*i**2. Let v(l) be the third derivative of w(l). What is j in v(j) = 0?
-2, 0, 2
Let j(a) be the first derivative of -12*a - 9*a**2 + 10 + 9/8*a**4 - a**3 + 3/10*a**5. Factor j(m).
3*(m - 2)*(m + 1)*(m + 2)**2/2
Suppose 10*o - 7*o - 14 = -5*b, -b + 4*o = -12. Let 0*k + 0 - 2/9*k**b + 2/9*k**3 - 2/9*k**5 + 2/9*k**2 = 0. Calculate k.
-1, 0, 1
Let l(j) = 3*j**3 - 9*j**2 - 16*j + 27. Let z(v) = -2*v**3 + 4*v**2 + 8*v - 13. Let f(b) = -3*l(b) - 5*z(b). Let f(r) = 0. Calculate r.
-4, 1
Factor 67*t + 0*t**2 + 32 - t + 28*t**2 - 6*t.
4*(t + 1)*(7*t + 8)
Let i(o) be the second derivative of -5*o**7/126 + 19*o**6/45 - 7*o**5/5 + 10*o**4/9 + 16*o**3/9 - o - 85. What is f in i(f) = 0?
-2/5, 0, 2, 4
Suppose 60*l = 14*l. Find n, given that -2/7*n**5 + 2/7*n**3 - 2/7*n**4 + 2/7*n**2 + l*n + 0 = 0.
-1, 0, 1
Factor -45/2*k + 0 + 3/4*k**4 - 33/4*k**2 + 3*k**3.
3*k*(k - 3)*(k + 2)*(k + 5)/4
Let m(n) be the first derivative of n**6/300 - n**5/50 - n**4/60 + n**3/5 + n**2/2 - 5. Let d(g) be the second derivative of m(g). Factor d(v).
2*(v - 3)*(v - 1)*(v + 1)/5
Factor -1/2*a + 3/4*a**2 + 0 - 1/4*a**3.
-a*(a - 2)*(a - 1)/4
Let 1/3*w + 0 + 64/3*w**3 + 16/3*w**2 = 0. What is w?
-1/8, 0
Let f(o) be the second derivative of -o**4/12 - 7*o**3/6 -