1/12*x**3 - k*x**7. Factor v(w).
-(w - 1)**3*(w + 1)**2/2
Let v be 1/(0 - 1/(-13)). Suppose o - 3*p - 15 = 0, -4*o - 4*p - v = -3*o. Factor 3*z**5 - 2*z**5 + 0*z**4 + 2*z**4 + 0*z**o + z**3.
z**3*(z + 1)**2
Let c(v) be the first derivative of 4*v**3/15 - 4*v**2/5 + 47. Find b such that c(b) = 0.
0, 2
Let u(i) be the third derivative of -i**8/1008 - 2*i**7/315 - i**6/60 - i**5/45 - i**4/72 + 5*i**2. Find d such that u(d) = 0.
-1, 0
Let s(d) be the first derivative of -d**7/735 + d**6/70 - 2*d**5/35 + 2*d**4/21 - d**2/2 - 4. Let o(p) be the second derivative of s(p). Factor o(m).
-2*m*(m - 2)**3/7
Find j, given that 1/4*j - 1/4*j**2 + 0 - 1/4*j**3 + 1/4*j**4 = 0.
-1, 0, 1
Let j be (-24)/(-14) + 10/35. Let x be 0/3 - (0 - j). Determine m, given that 3*m**3 - 5*m + 5*m**4 + x*m - 7*m**2 + 2 + 0*m**2 = 0.
-1, 2/5, 1
Let l be ((-30)/(-4))/(-5)*28/(-63). Let x(v) be the first derivative of -2/9*v**3 + 1/3*v**4 - l*v**2 + 2/3*v + 2. Factor x(w).
2*(w - 1)*(w + 1)*(2*w - 1)/3
Let u = 367/273 + -1/91. Determine p so that 0 + 2/3*p**3 - u*p**2 + 2/3*p = 0.
0, 1
Let r(t) be the first derivative of -t**6/36 + 7*t**4/24 - t**3/3 - 32. Determine p, given that r(p) = 0.
-3, 0, 1, 2
Let y(p) be the second derivative of -1/60*p**6 + 0*p**4 + 0*p**2 - 4*p - 1/40*p**5 + 0*p**3 + 0. Let y(r) = 0. Calculate r.
-1, 0
Suppose -4*k = -4*a + 24, -3*a - 2*k + 24 = 1. Suppose 0 = -l + 2*b - 3 - a, 0 = -3*l - 2*b + 10. Suppose 2/3*g**4 - 4/3*g**3 + 0*g + 0*g**2 + l = 0. What is g?
0, 2
Let b(q) be the second derivative of 1/9*q**3 - 3/10*q**5 - 4/63*q**7 + 0*q**2 - 11/45*q**6 + 4*q + 0 - 1/18*q**4. Factor b(w).
-2*w*(w + 1)**3*(4*w - 1)/3
Suppose -2*s + 4*v = -32, -4 + 47 = 3*s - 5*v. Suppose s = 2*m + m. Suppose -4/9*l + 0 + 14/9*l**m + 0*l**3 - 2*l**4 = 0. Calculate l.
-1, 0, 1/3, 2/3
Let j be (((-2)/16)/(-1*1))/1. Let r(k) be the second derivative of -1/80*k**5 + 1/16*k**4 + j*k**2 + 0 - 1/8*k**3 - 3*k. Determine a, given that r(a) = 0.
1
Suppose 0*p = 5*p - 15. Let y(h) be the second derivative of -1/9*h**p + 0*h**2 + 2*h - 1/18*h**4 + 0. Factor y(i).
-2*i*(i + 1)/3
Factor 3 - 9 + 3*a + 3*a**2 + 6.
3*a*(a + 1)
Suppose 0 = 2*w + 2 - 10. Let x(j) be the third derivative of 0*j**5 + 1/600*j**6 + 0*j**3 + j**2 - 1/120*j**w + 0*j + 0. Determine r so that x(r) = 0.
-1, 0, 1
Factor 28*c**4 + 4*c**2 + 2*c**3 + 3*c**3 + 3*c**3 - 24*c**4.
4*c**2*(c + 1)**2
Let f be -2 - ((-76)/12 - -3). Suppose 8/3 + 4*m + f*m**2 = 0. Calculate m.
-2, -1
Let w be 1/8 + 48/(-384). Factor 0 + w*s - 1/5*s**4 + 0*s**2 + 1/5*s**3.
-s**3*(s - 1)/5
Let n = -30 + 56. Suppose n = 5*c + 6. Determine s, given that -1/2*s**3 + 1/4*s**c - 1/4 + 1/2*s + 0*s**2 = 0.
-1, 1
Find r, given that -14/11*r - 8/11*r**2 - 6/11 = 0.
-1, -3/4
Let x(m) be the first derivative of 2*m**4 - 8/3*m**3 + 4 + 2*m**2 - 4/5*m**5 + 2/15*m**6 - 4/5*m. Find a, given that x(a) = 0.
1
Let g(y) be the third derivative of y**5/12 + 5*y**4/24 - 5*y**3/3 + 27*y**2. Let g(a) = 0. Calculate a.
-2, 1
Let i(c) be the first derivative of 3*c**5/20 - c**4/4 - 2*c - 1. Let j(g) be the first derivative of i(g). Factor j(n).
3*n**2*(n - 1)
Let t = 9 + -9. Let n(x) be the second derivative of -3*x + 0*x**5 + t*x**4 + 0*x**3 + 0*x**2 - 1/15*x**6 + 0. Find q, given that n(q) = 0.
0
Let a(x) = 5*x**3 - x + 5. Let b(g) = -g**3 - 1. Let r(y) = -2*a(y) - 9*b(y). Let u be r(1). Factor 2/3*f**3 + u + 4/3*f - 2*f**2.
2*f*(f - 2)*(f - 1)/3
Let l = -3 + 14. Factor -l*i**5 - 2*i**3 + 4*i**4 - 2*i**3 - 3*i**5 + 14*i**4.
-2*i**3*(i - 1)*(7*i - 2)
Let h(t) be the third derivative of t**8/168 - t**6/60 + 5*t**2. Factor h(v).
2*v**3*(v - 1)*(v + 1)
Let n(g) = -g**2 - g + 3. Let w(t) = t**2 + t - 2. Let q(m) = 2*n(m) + 3*w(m). Factor q(r).
r*(r + 1)
Suppose -15 = 9*j - 12*j. Let 3*h**j - 3*h**4 + h**3 - 2*h**5 + h**3 = 0. What is h?
0, 1, 2
Factor -12*s**2 - 14*s - 8*s**3 + 6*s + 0 - 2*s**4 - 2.
-2*(s + 1)**4
Let v = -6/41 - -370/287. Find m, given that m**3 + 1/7*m**5 - 1/7*m**2 - 4/7 + 5/7*m**4 - v*m = 0.
-2, -1, 1
Suppose -4*n + 17 = -3*f, -4*f + 3*f + 4*n = 19. Let a be f/5*10/8. Factor 1/4*x**3 + 1/4*x**2 - 1/4 - a*x.
(x - 1)*(x + 1)**2/4
Suppose 9*f**3 + 5 - 523*f**4 + 526*f**4 - 5 + 6*f**2 = 0. Calculate f.
-2, -1, 0
Let u(k) be the third derivative of -k**6/180 + k**5/18 - 2*k**4/9 + 4*k**3/9 - 33*k**2. Solve u(x) = 0 for x.
1, 2
Suppose 3*s = 4*z - 5, -3*s - 2 = 5*z - 15. Factor 7*u**5 + 3*u + 2 + u**2 - 14*u + 3*u**3 + u**3 - 16*u**4 + 13*u**z.
(u - 1)**3*(u + 1)*(7*u - 2)
Determine w so that w**2 - w**2 - w**3 + w + 0*w**2 = 0.
-1, 0, 1
Suppose 0 = v - 6*v + 25. Factor -3*s**3 - v - 7*s**2 + 5 - 12*s - 5*s**2.
-3*s*(s + 2)**2
Solve -u**3 - u**4 + 2*u**4 - u**2 + u + 0*u**2 = 0 for u.
-1, 0, 1
Let f(k) be the second derivative of k**7/126 - k**6/15 + k**5/5 - 5*k**4/18 + k**3/6 - 14*k. Factor f(d).
d*(d - 3)*(d - 1)**3/3
Let x = 304/35 - 42/5. Factor -4/7*p**2 - x - 6/7*p.
-2*(p + 1)*(2*p + 1)/7
Let n(t) be the first derivative of 0*t - 1/3*t**3 - 1/4*t**4 + 0*t**2 - 3 + 1/6*t**6 + 1/5*t**5. Solve n(c) = 0.
-1, 0, 1
Let j be 1 - (8*1)/(-2). Suppose -4*s + 17 = -z, -j*z = -s + 33 - 5. Factor 0*x**3 - 2*x - 6*x**s - 2*x**4 + 0*x**4 - 6*x**2.
-2*x*(x + 1)**3
Let o be (0/(-2))/(-29 - -28). Solve 0*h + 2/3*h**2 - 2/3*h**3 + o = 0.
0, 1
Let i(m) = -m**2 - m - 1. Let s(c) = -6*c**2 - 3*c - 6. Let p(t) = 9*i(t) - s(t). Suppose p(h) = 0. Calculate h.
-1
Let f(b) = -9*b + 101. Let s be f(11). Solve 0*n**s - 2/5*n**4 + 0*n + 0 - 4/5*n**3 + 2/5*n**5 = 0.
-1, 0, 2
Let a(m) be the first derivative of -8/9*m + 4/9*m**2 + 1 - 2/27*m**3. Factor a(b).
-2*(b - 2)**2/9
Let b(v) = -4*v**2 - 6*v - 2. Let j(q) = 12*q**2 + 19*q + 7. Let o(h) = 7*b(h) + 2*j(h). Factor o(n).
-4*n*(n + 1)
Determine h, given that 4*h**4 + 22*h**3 + 29*h - 3*h + 2 + 24*h**2 + 4 + 14*h**2 = 0.
-3, -1, -1/2
Let n(u) = -2*u**3 + 8*u**2 + 2*u - 8. Let r(s) = 4*s**3 - 15*s**2 - 4*s + 15. Let v(d) = -11*n(d) - 6*r(d). Suppose v(h) = 0. What is h?
-1, 1
Solve p**2 + 2*p - 381 + 381 = 0.
-2, 0
Let u(g) be the first derivative of -g**4/2 - 8*g**3/3 - 4*g**2 + 26. Factor u(o).
-2*o*(o + 2)**2
Suppose 8 = 5*b - 2. Factor -1/2 + 3*h + 4*h**3 - 6*h**b.
(2*h - 1)**3/2
Suppose 3*y + m - 125 = -0*y, -3*m + 15 = 0. Let s = y + -118/3. Solve s*k**3 + 0*k**2 - 2/3*k + 1/3 - 1/3*k**4 = 0 for k.
-1, 1
Let a(f) = 4*f - 2*f**5 - f**3 + 4*f**4 - 3*f**4 - 3*f**4 + 17*f**2. Let i(u) = u**5 + u**4 - 8*u**2 - 2*u. Let s(q) = 6*a(q) + 14*i(q). Factor s(r).
2*r*(r - 2)*(r + 1)**3
Let y(q) be the first derivative of q**8/336 + q**7/210 - q**6/40 - q**5/12 - q**4/12 + 2*q**2 - 4. Let t(g) be the second derivative of y(g). Factor t(c).
c*(c - 2)*(c + 1)**3
Let j be ((-60)/3)/(-8 - -2). Factor j*k + 2/3*k**3 - 8/3*k**2 - 4/3.
2*(k - 2)*(k - 1)**2/3
Let a(v) = -10*v**2 - 51*v - 51. Let t(q) = 2*q**2 + 10*q + 10. Let p(k) = 2*a(k) + 11*t(k). Determine w, given that p(w) = 0.
-2
Suppose 0 = 8*b - 6*b. Let k(d) be the second derivative of b*d**2 + 1/12*d**4 + 1/30*d**6 + 0*d**3 - d + 1/10*d**5 + 0. Factor k(j).
j**2*(j + 1)**2
Let r(h) be the first derivative of 3*h**5/5 - 21*h**4/2 + 36*h**3 - 51*h**2 + 33*h - 51. Solve r(n) = 0.
1, 11
Let w be 15/(-3) + (-40)/(-6). Factor k**2 + w*k - 2/3.
(k + 2)*(3*k - 1)/3
Let u(c) be the first derivative of -23*c**4/4 + 11*c**3/3 + 13*c**2/2 - c - 1. Let f(l) = 12*l**3 - 5*l**2 - 7*l. Let a(j) = -5*f(j) - 2*u(j). Factor a(r).
-(r - 1)*(2*r + 1)*(7*r + 2)
Let h = -103/4 + 26. Factor 1/2*m**2 - h*m + 0.
m*(2*m - 1)/4
Let r(u) be the first derivative of u**7/126 + u**6/90 - u**5/60 - u**4/36 - 3*u - 1. Let v(o) be the first derivative of r(o). Suppose v(f) = 0. Calculate f.
-1, 0, 1
Let m be (-18)/54 + (-22)/(-30). Factor 2/5*f**3 + 6/5*f - m - 6/5*f**2.
2*(f - 1)**3/5
Let q(v) be the first derivative of 3*v**4/20 + v**3/5 - 3*v**2/2 + 9*v/5 + 5. Find z such that q(z) = 0.
-3, 1
Let g(t) = t**3 + t**2 + t + 2. Let v be g(0). Let l be 0/(4/((-4)/(-2))). Factor 0 + 1/3*x**3 + l*x**v + 4/3*x**4 + 0*x + x**5.
x**3*(x + 1)*(3*x + 1)/3
Suppose 3 = 3*n - 3*a, -4*n + 2*a + 3 = -a. Let f = 3 - n. Let 1/4*o**2 - 3/4*o**4 + 0*o + 0 - 1/2*o**f = 0. What is o?
-1, 0, 1/3
Let m(o) be the third derivative of 0 + 0*o**3 + 1/40*o**6 + 0*o + o**2 + 0*o**5 + 1/70*o**7 + 0*o**4. Find b such that m(b) = 0.
-1, 0
Let h