3 + 2*n. Let m(j) = -i(j) - 4*o(j). Factor m(y).
-2*y*(y - 1)*(y + 1)*(2*y - 1)
Let x(p) be the second derivative of p**5/5 - 4*p**4/3 + 8*p**3/3 - 2*p. Factor x(k).
4*k*(k - 2)**2
Suppose 18 = w - 10. Let a be (-68)/w - 1*-3. Suppose a*k**2 + 0*k + 6/7*k**3 + 0 - 4/7*k**4 = 0. What is k?
-1/2, 0, 2
Let l(h) be the second derivative of h**6/75 - h**4/10 - 2*h**3/15 - h. Factor l(r).
2*r*(r - 2)*(r + 1)**2/5
Let d(v) be the third derivative of v**8/448 - 3*v**7/280 - 16*v**2. Factor d(j).
3*j**4*(j - 3)/4
Let j(q) be the third derivative of 1/336*q**8 + 7/120*q**6 + 0 - 1/60*q**5 - 1/3*q**4 - 6*q**2 + 0*q - 2/3*q**3 + 1/42*q**7. Find h such that j(h) = 0.
-2, -1, 1
Let m(j) be the first derivative of j**6/24 + 3*j**5/20 + j**4/16 - j**3/4 - j**2/4 - 11. Factor m(f).
f*(f - 1)*(f + 1)**2*(f + 2)/4
Let 8/7*f**4 + 4/7*f**3 - 18/7*f**2 - 2/7 + 11/7*f = 0. Calculate f.
-2, 1/2
Let w(v) = v**3 + 4*v**2 + 3*v + 1. Let c be w(-2). Let c*l**4 - 7*l**4 + 6*l**4 - 3*l**4 = 0. Calculate l.
0
Let t = -971 - -3887/4. Factor 0 - 1/4*o**4 + t*o**2 + 1/2*o**3 + 0*o.
-o**2*(o - 3)*(o + 1)/4
Let l(y) = 10*y**5 - 10*y**4 + y**3 + 10*y**2 + 11*y. Let n(i) = 2*i**5 - 2*i**4 + 2*i**2 + 2*i. Let u(x) = -2*l(x) + 11*n(x). Suppose u(t) = 0. Calculate t.
-1, 0, 1
Let s(u) be the third derivative of u**8/168 + 2*u**7/105 - u**5/15 - u**4/12 + 11*u**2. Factor s(o).
2*o*(o - 1)*(o + 1)**3
Let u = 4266/7 - 4110/7. Let p = u + -22. Find x such that 2/7 - 2/7*x**2 + 2/7*x - p*x**3 = 0.
-1, 1
Find a, given that 5*a**5 - 2*a**4 + 9*a**2 - 3*a**3 - a**5 - 7*a**5 - 7*a**4 + 6*a = 0.
-2, -1, 0, 1
Let o(v) be the second derivative of -v**7/84 - v**6/24 + v**5/20 + 19*v**4/48 + 2*v**3/3 + v**2/2 - 13*v - 2. Find a such that o(a) = 0.
-2, -1, -1/2, 2
Let d(u) be the first derivative of -u**4 + 8*u**3/3 + 2*u**2 - 8*u - 18. Find y such that d(y) = 0.
-1, 1, 2
Let d(f) be the second derivative of 3*f**5/20 + 3*f**4 + 24*f**3 + 96*f**2 + 6*f. Solve d(m) = 0.
-4
Let x(u) be the first derivative of -u**6/1440 + u**5/480 + u**4/48 + u**3/3 - 3. Let i(f) be the third derivative of x(f). Suppose i(a) = 0. Calculate a.
-1, 2
Let i(k) be the third derivative of -3*k**2 + 0*k**4 + 0*k + 4/27*k**3 - 1/270*k**5 + 0. Find h such that i(h) = 0.
-2, 2
Let t(m) be the third derivative of 1/72*m**6 + 0 - 2/315*m**7 + 0*m**4 + 0*m + 1/1008*m**8 + 0*m**3 + 2*m**2 - 1/90*m**5. Determine x, given that t(x) = 0.
0, 1, 2
Let f be (0 + 7)*(-48)/56. Let x be (-4)/(-1) + f + 3. Factor 13*v**2 - 3 + 8*v**2 - 2 - x + 15*v.
3*(v + 1)*(7*v - 2)
Factor 0 + 1/2*m**4 + m**2 + 0*m - 3/2*m**3.
m**2*(m - 2)*(m - 1)/2
Let j(s) be the third derivative of -1/36*s**4 - 1/180*s**5 + 0 + 8*s**2 + 1/6*s**3 + 0*s. Factor j(t).
-(t - 1)*(t + 3)/3
Suppose 5*x = 20, 2*i - 5*x = -18 + 2. Let r(c) = -c - 6. Let y be r(-6). Let 1/4*f**i - 1/4 + y*f = 0. Calculate f.
-1, 1
Let v(z) be the first derivative of z**6/24 - 3*z**5/20 + z**4/16 + z**3/4 - z**2/4 - 3. Suppose v(s) = 0. What is s?
-1, 0, 1, 2
Let q(f) be the first derivative of -f**4/12 + 2*f**2/3 + 15. Solve q(z) = 0 for z.
-2, 0, 2
Let y(t) = 6*t**3 + 8*t**2 - 6*t - 3. Let x(k) = k**3 + k**2 - k. Let a(s) = 5*x(s) - y(s). What is b in a(b) = 0?
-3, -1, 1
Let u = 1042/99 - 5/198. Let b = 11 - u. What is p in b + p + 1/2*p**2 = 0?
-1
Let m(x) be the second derivative of -x**4/4 + x**3 - 10*x - 2. Let m(s) = 0. What is s?
0, 2
Let s(g) be the first derivative of -2/3*g**3 + 0*g + 0*g**2 - 3. Factor s(m).
-2*m**2
Let o be (2 - 8)*(-1)/39. Determine l, given that -o*l + 0 + 2/13*l**2 = 0.
0, 1
Let x(u) be the third derivative of u**7/490 + u**6/280 - u**5/70 + 11*u**2. Solve x(p) = 0 for p.
-2, 0, 1
Let h(b) be the third derivative of 0*b**6 - b**2 + 0*b**4 - 1/630*b**7 + 0 - 1/18*b**3 + 1/90*b**5 + 0*b. What is g in h(g) = 0?
-1, 1
Let j(p) be the third derivative of p**6/120 + p**5/20 + p**4/8 + p**3/6 - 2*p**2. Factor j(k).
(k + 1)**3
Let f(r) be the second derivative of -r**4/28 + r**3/14 + 3*r**2/7 - 3*r. Find l such that f(l) = 0.
-1, 2
Let w(v) be the third derivative of -v**6/30 + 2*v**5/75 + 16*v**2. Find s, given that w(s) = 0.
0, 2/5
Let h(g) be the third derivative of -g**8/560 + g**6/120 - g**3/3 + 6*g**2. Let b(x) be the first derivative of h(x). Suppose b(r) = 0. Calculate r.
-1, 0, 1
Let y(c) be the first derivative of -c**7/525 + c**5/150 - 3*c**2/2 - 3. Let b(t) be the second derivative of y(t). Suppose b(q) = 0. What is q?
-1, 0, 1
Suppose 0 = -7*z + 2*z + 20. Suppose 0*i + 4*i - z*h = 0, 4*i + 3*h = 28. Factor 3*t**4 - 3 + 4 + 2*t - 2*t**3 - i*t**4.
-(t - 1)*(t + 1)**3
Let l(q) be the third derivative of 0*q**5 + 0 + 1/30*q**4 + 7*q**2 - 1/150*q**6 - 1/525*q**7 + 1/15*q**3 + 0*q. Factor l(n).
-2*(n - 1)*(n + 1)**3/5
Find n, given that 2/3*n**2 + 2 + 8/3*n = 0.
-3, -1
Let i be 1/(-3)*9/(-6) - 0. Factor i*x**2 + 0 + 0*x - 1/4*x**3.
-x**2*(x - 2)/4
Let c = 7 + 1. Let k be c/(-20)*5/(-3). Determine i, given that 0 + k*i + 5/3*i**2 - 4/3*i**3 - i**4 = 0.
-2, -1/3, 0, 1
Let k(i) be the third derivative of 0*i + 0 - 1/224*i**8 + 0*i**3 - 1/80*i**6 + 0*i**4 - 1/70*i**7 + 0*i**5 + i**2. Find o such that k(o) = 0.
-1, 0
Let o(n) = -6*n - 42. Let j be o(-7). Find s such that j - 16/7*s**3 - 2/7*s**5 + 0*s - 8/7*s**2 - 10/7*s**4 = 0.
-2, -1, 0
Factor -507/2*b**2 + 26*b - 2/3.
-(39*b - 2)**2/6
Let r be (3 - 39/3) + 2. Let v be (-1)/(4 + 36/r). Solve 0 + 4/7*a**3 + 6/7*a**4 - 2/7*a**v + 0*a = 0 for a.
-1, 0, 1/3
Let l = -5 - -7. Suppose 0*n**2 + 3*n**l - 2*n**2 - 8*n**3 + 12*n**4 + n**3 = 0. What is n?
0, 1/4, 1/3
Let h = 58928/27 - 2182. Let b(k) be the first derivative of 16/9*k**2 + 8/9*k + 1 + h*k**3. Find o such that b(o) = 0.
-2, -2/7
Suppose 0*b**4 - 2/5*b**5 - 2/5*b + 4/5*b**3 + 0*b**2 + 0 = 0. What is b?
-1, 0, 1
Let s(f) be the third derivative of -1/1008*f**8 + 0*f**3 - 1/36*f**4 - 1/630*f**7 + f**2 + 1/180*f**5 + 0*f + 0 + 1/120*f**6. Let s(w) = 0. Calculate w.
-2, -1, 0, 1
Suppose 0*n + 3*n = -3*n. Factor -2/13*q**5 + 0*q**2 + 0*q**4 - 2/13*q + 4/13*q**3 + n.
-2*q*(q - 1)**2*(q + 1)**2/13
Let j = -20 - -25. Let m(d) be the third derivative of -1/336*d**8 + 0*d + 0*d**7 + 0*d**3 + 1/120*d**6 + d**2 + 0*d**j + 0 + 0*d**4. What is p in m(p) = 0?
-1, 0, 1
Let o(z) = 3*z**4 - 15*z**3 + 4*z**2 + 4. Let y(t) = 3*t**4 - 16*t**3 + 3*t**2 - t + 5. Let a(m) = 5*o(m) - 4*y(m). Factor a(g).
g*(g - 2)**2*(3*g + 1)
Suppose -3*t - t = -8. Let b(y) = -y**2 + 4*y - 1. Let z be b(2). What is j in 0*j**2 + j**z - 2*j**2 + j**t = 0?
0, 1
Let a = -1/65 - -89/1560. Let c(h) be the third derivative of 3*h**2 - a*h**4 + 1/45*h**5 - 1/18*h**3 + 0*h + 0. Solve c(g) = 0 for g.
-1/4, 1
Suppose -2*d + 7 = y, -2*d - 2*y + 2 + 6 = 0. What is i in 2/9*i**d + 0*i + 2/9*i**2 + 0 = 0?
-1, 0
Suppose 87 = 4*a - 333. What is u in -8*u**3 - 133*u**4 + 7*u + 24*u**2 + u + a*u**4 + 4*u**2 = 0?
-1, -2/7, 0, 1
Let m(k) be the first derivative of -k**4/42 - 4*k**3/63 + k**2/21 + 4*k/21 - 8. Let m(x) = 0. What is x?
-2, -1, 1
Let 45*t - 45*t - 9*t**3 - 3*t**5 + 9*t**4 + 3*t**2 = 0. What is t?
0, 1
Let v(z) = -1. Let f(d) = -2*d**2 - 12*d - 14. Let w(h) = f(h) + 4*v(h). Factor w(p).
-2*(p + 3)**2
Factor -2/7*n + 2/7*n**2 + 0.
2*n*(n - 1)/7
Find f such that 1/2*f**2 - 1/2*f - 1/2 + 1/2*f**3 = 0.
-1, 1
Let l(x) be the third derivative of -1/12*x**4 - 1/2*x**3 + 1/60*x**5 + 0*x - 7*x**2 + 0. Factor l(c).
(c - 3)*(c + 1)
Let j(h) be the first derivative of -4 - 2/3*h**2 - 1/12*h**4 - 4/9*h**3 + 0*h. Solve j(y) = 0.
-2, 0
Let d(v) be the third derivative of v**8/336 - v**7/210 - v**6/120 + v**5/60 + 8*v**2. Factor d(g).
g**2*(g - 1)**2*(g + 1)
Let w(g) = -g**2 + 8*g. Let v be w(7). Let y be 12*-1*v/(-98). Factor 4/7*j + y - 2/7*j**2.
-2*(j - 3)*(j + 1)/7
Let k(a) be the second derivative of 0*a**2 - a - 1/12*a**4 - 1/3*a**3 + 0 + 1/20*a**5. Let k(d) = 0. Calculate d.
-1, 0, 2
Let b(y) be the third derivative of -y**6/320 + y**5/32 - 7*y**4/64 + 3*y**3/16 - 6*y**2. Determine l so that b(l) = 0.
1, 3
Suppose y = -4*b + 4, 3*b - 5 = -y - 2. Let 0*w - 1/3*w**2 + 0*w**3 + 1/3*w**4 + y = 0. What is w?
-1, 0, 1
Let h(r) = -r**2 - 3*r - 9. Let l(a) = -2*a**2 - 5*a - 17. Let i(t) = -11*h(t) + 6*l(t). Let g(w) = w**2 - 2*w + 2. Let f(p) = -3*g(p) - 2*i(p). Factor f(u).
-u**2
Let p(t) be the second derivative of 9*t**6