 15*f**4/2 + 20*f**3/9 + 20*f**2/3 - 16*f/3 - 28. Suppose r(k) = 0. Calculate k.
-1, 2/3
Suppose -14214*w + 14214*w - w**2 = 0. Calculate w.
0
Let h be 0 - -2*(-6)/(-4). Suppose -h*z - 2*z = -15. Let 2*x - 2*x - 1 - x**4 - 2*x**z + 2*x**2 + x + x**5 = 0. Calculate x.
-1, 1
Let b(v) be the first derivative of -v**3 + 9*v**2 - 15*v - 13. Determine d, given that b(d) = 0.
1, 5
Let k(x) be the third derivative of -x**8/1680 - 11*x**7/5040 - x**6/360 - x**5/60 - 3*x**2. Let t(v) be the third derivative of k(v). Factor t(s).
-(3*s + 2)*(4*s + 1)
Factor 0*v - 9*v**3 - 3*v - v - 3*v**2 - v**4 + 4 + 13*v**3.
-(v - 2)**2*(v - 1)*(v + 1)
Let q(z) = -z**4 - z**2 + 1. Let p(h) = 3*h**4 + 2*h**3 + 3*h**2 - 2. Let s(j) = -3*p(j) - 6*q(j). Suppose s(g) = 0. Calculate g.
-1, 0
Let l(t) be the first derivative of -t**7/210 + t**6/120 + t**5/60 - t**4/24 + 3*t**2/2 - 4. Let m(c) be the second derivative of l(c). Factor m(s).
-s*(s - 1)**2*(s + 1)
Let c(z) be the third derivative of z**7/525 - z**5/50 - z**4/30 + 29*z**2. Factor c(a).
2*a*(a - 2)*(a + 1)**2/5
Suppose 15/2*q**5 + 27*q**4 + 51/2*q**3 + 0*q**2 - 6*q + 0 = 0. What is q?
-2, -1, 0, 2/5
Let h(s) be the third derivative of -s**7/420 + s**6/360 + 4*s**3/3 + s**2. Let f(k) be the first derivative of h(k). Factor f(j).
-j**2*(2*j - 1)
Let t(u) be the third derivative of u**5/15 - 11*u**4/6 - 14*u**2 - 3*u. Factor t(y).
4*y*(y - 11)
Let l = 98 - 98. Let h(b) be the first derivative of -1/5*b**5 + l*b - 4 + 0*b**4 + 1/3*b**3 + 0*b**2. Factor h(z).
-z**2*(z - 1)*(z + 1)
Let q be (-12)/8 + (-3)/(-2). Suppose q = -7*o + 3*o + 8. Let -12/5*i + 18/5 + 2/5*i**o = 0. What is i?
3
Let x(i) = -10*i**2 - 8*i - 6. Suppose -3*d - 3 = -2*k - 1, 8 = -2*d - 2*k. Let o(j) = j**3 - 11*j**2 - 7*j - 7. Let q(t) = d*o(t) + 3*x(t). Factor q(m).
-2*(m + 1)**2*(m + 2)
Let s(j) be the first derivative of -3 + 0*j**2 - 3/8*j**4 - 7/6*j**3 + 2*j. Factor s(d).
-(d + 1)*(d + 2)*(3*d - 2)/2
Suppose i = -3*i + 12. Suppose -3*w = -5*g + 29 + 2, 4*w = -g - i. Suppose 2*h**3 - h**2 - g*h**3 + 2*h**3 = 0. Calculate h.
-1, 0
Let o(u) = 2*u + 2. Let x be o(1). Factor 4*f - 2 + 6 + 4*f**3 - x*f**2 + 5*f - 13*f.
4*(f - 1)**2*(f + 1)
Let q(h) = h**3 - 11*h**2 + 2*h - 14. Suppose 14 = 2*r + 4*p, -5*r = 2*p + 2*p - 47. Let d be q(r). What is b in 2*b**2 - d*b + 10*b + 2*b - 2*b**3 = 0?
-1, 0, 2
Let a be (-12)/(-8) - (-7)/2. Suppose 0 = -7*h + a*h. Let 0*o + 0*o**2 + o**4 + 1/2*o**3 + h + 1/2*o**5 = 0. Calculate o.
-1, 0
Let y(j) = -j**3 - 2*j**2 - j - 1. Let r be y(-2). Let c = r - -1. Factor g**4 + 1 - g**c - g**2 + 0.
(g - 1)**2*(g + 1)**2
Let h(m) be the third derivative of m**7/42 + m**6/12 + m**5/12 + 9*m**2. Suppose h(z) = 0. What is z?
-1, 0
Let p(v) = -v**2 + 3*v + 9. Let h(n) = 2*n**2 - 4*n - 13. Let j(b) = -5*h(b) - 7*p(b). Factor j(i).
-(i + 1)*(3*i - 2)
Suppose 4*p = 5*o - 40, 2*p = o + 6*p + 16. Factor 3*c**2 - 7*c**5 + 10*c**5 + c**4 - 3*c**3 - 4*c**o.
3*c**2*(c - 1)**2*(c + 1)
Let -1/3*z**3 - 4/3*z**2 - 2/3 - 5/3*z = 0. What is z?
-2, -1
Factor 3/5*r**3 - 1/5*r**4 + 0*r**2 + 0 - 4/5*r.
-r*(r - 2)**2*(r + 1)/5
Let y(j) = -j**2 + 2*j - 1. Let v(d) = 11*d**2 + 18*d + 31. Let x(h) = -v(h) - 6*y(h). Factor x(s).
-5*(s + 1)*(s + 5)
Find s such that -2/3*s**3 + 2/3*s**2 + 2/3*s**5 + 0 - 2/3*s**4 + 0*s = 0.
-1, 0, 1
Let y be ((-268)/201)/(7/(-39)). Solve 0 - y*a**4 - 16/7*a**5 - 60/7*a**3 - 4/7*a - 4*a**2 = 0.
-1, -1/4, 0
Let p(w) be the third derivative of w**8/1176 - 3*w**7/245 + 8*w**6/105 - 4*w**5/15 + 4*w**4/7 - 16*w**3/21 - 2*w**2. Solve p(v) = 0.
1, 2
Let b(n) = -2*n. Let i be b(-2). Factor 2*k**2 - 4*k**2 + k**5 - 3*k**4 - k**3 + 6*k**3 - k**i.
k**2*(k - 2)*(k - 1)**2
Let d(q) be the third derivative of q**7/210 - q**6/90 - q**5/15 + 3*q**3/2 - 7*q**2. Let m(b) be the first derivative of d(b). Factor m(h).
4*h*(h - 2)*(h + 1)
Let f(u) be the first derivative of -u**4/2 - 2*u**3/3 + u**2 + 2*u + 16. Solve f(a) = 0.
-1, 1
Factor -36/7*d**2 - 60/7*d + 100/7 - 4/7*d**3.
-4*(d - 1)*(d + 5)**2/7
Suppose 6 = -7*g + 5*g. Let o(b) = -4*b**3 + 4*b**2 + 4*b - 1. Let w(k) = k**3 - k**2 - k. Let m(u) = g*w(u) - o(u). Factor m(j).
(j - 1)**2*(j + 1)
Let b(v) be the first derivative of v**4/12 - v**3/6 - v**2 + v - 1. Let h(p) be the first derivative of b(p). Factor h(z).
(z - 2)*(z + 1)
Solve k**2 - 2 + 7*k + 1 + 2*k**3 - k**3 - 8*k = 0.
-1, 1
Determine r, given that -4*r - 2*r**5 - 10*r**4 + 196*r**2 - 18*r**3 + 202*r**2 - 412*r**2 = 0.
-2, -1, 0
Let y(v) = 3*v**2 + 3 + 2*v**3 - 2*v**2 - 5 + v**4 + 2*v. Let q(i) = -2*i**4 - 3*i**3 - i**2 - 3*i + 3. Let m(c) = 2*q(c) + 3*y(c). Solve m(x) = 0 for x.
-1, 0, 1
Let g be 0 - -2 - 0/(-2). Let -z + 3*z**2 + 0*z**2 + z**3 + z**4 - 4*z**g + 0*z = 0. What is z?
-1, 0, 1
Factor 0*m**2 + 0 - 2/5*m**4 + 2/5*m**3 + 0*m.
-2*m**3*(m - 1)/5
Factor 5 + 12*a + 9*a - 6*a + 10*a**2.
5*(a + 1)*(2*a + 1)
What is z in -40/3*z + 5*z**3 + 0 + 10*z**2 - 5/3*z**4 = 0?
-2, 0, 1, 4
Let f(k) = 6*k**4 + 12*k**3 + 6*k**2 + 2*k - 2. Let t(v) = -31*v**4 - 60*v**3 - 29*v**2 - 11*v + 11. Let a(c) = -11*f(c) - 2*t(c). Factor a(z).
-4*z**2*(z + 1)*(z + 2)
Find j such that 24*j + 24*j**2 - 6*j - 11*j - 24 + 3*j**3 - 10*j = 0.
-8, -1, 1
Let b(p) be the second derivative of -p**7/3780 + p**6/540 - p**5/180 + p**4/3 + p. Let u(x) be the third derivative of b(x). Let u(f) = 0. What is f?
1
Let q(a) be the first derivative of -a**6/3 - 2*a**5 - 5*a**4 - 20*a**3/3 - 5*a**2 - 2*a + 1. Factor q(w).
-2*(w + 1)**5
Let j(y) = -7*y**2 + 6*y - 6. Let a(q) = 3*q**2 - 5*q + 5. Let c(u) = -2*u**2 + 5*u - 5. Let n(p) = 4*a(p) + 3*c(p). Let o(w) = -5*j(w) - 6*n(w). Factor o(z).
-z**2
Suppose -2*a - 8 = -2*g, 25 = g - 4*a + 9. Let k(v) be the second derivative of -v + 0*v**2 + g*v**4 + 0 + 1/21*v**7 + 0*v**6 + 0*v**3 + 0*v**5. Factor k(h).
2*h**5
Let x(z) be the second derivative of z**5/50 + z**4/30 - 4*z**3/15 - 4*z**2/5 - 6*z. Factor x(v).
2*(v - 2)*(v + 1)*(v + 2)/5
Let x(g) = -g + 12. Let q be x(9). Suppose 3*u - 12 + q = -3*j, 0 = -5*j. Factor -1/3*f - 2/3*f**2 + f**u + 0.
f*(f - 1)*(3*f + 1)/3
Let w = 14/75 - 79/450. Let m(l) be the third derivative of 0*l**4 + 0*l**3 + 0*l + w*l**5 + 0 + 2*l**2. Determine g, given that m(g) = 0.
0
Let -2/9*b**2 + 2/9*b**3 + 0 - 4/9*b = 0. Calculate b.
-1, 0, 2
Suppose h - d = -3*h + 28, 0 = h + 3*d - 7. Let n be ((-8)/h)/((-42)/49). Factor 0 - n*o - 2/3*o**2.
-2*o*(o + 2)/3
Let a(q) be the second derivative of q**7/2520 - q**6/720 + q**4/6 - 4*q. Let s(t) be the third derivative of a(t). Solve s(c) = 0.
0, 1
Let n(z) = -2*z**5 + z**4 + 6*z**3 - 4*z**2 - 7*z - 3. Let g(i) = -i**5 - i**4 + i**3 - i - 1. Let v(l) = -6*g(l) + 2*n(l). Factor v(w).
2*w*(w - 1)*(w + 1)*(w + 2)**2
Let d(u) be the first derivative of -u**5/180 + u**4/36 - u**2/2 - 7. Let i(k) be the second derivative of d(k). Factor i(p).
-p*(p - 2)/3
Let w(o) be the third derivative of o**6/30 - 13*o**5/15 + 23*o**4/6 - 22*o**3/3 - 39*o**2. Factor w(n).
4*(n - 11)*(n - 1)**2
Let j(v) be the second derivative of v**4/36 + v**3/6 + v**2/3 - 15*v. Let j(s) = 0. Calculate s.
-2, -1
Suppose -4*s - 10 = -2*s. Let m(h) = 3*h**3 + 3*h**2 - 5*h - 1. Let f(z) = -z**3 - 2*z**2 + 3*z. Let l(g) = s*f(g) - 2*m(g). Factor l(q).
-(q - 2)*(q - 1)**2
Let n(q) be the first derivative of q**7/840 - q**6/72 + q**5/15 - q**4/6 + 7*q**3/3 - 4. Let j(z) be the third derivative of n(z). Factor j(l).
(l - 2)**2*(l - 1)
Let w be 100/36 - 2/(-9). Let a(g) be the second derivative of 1/50*g**5 - 1/75*g**6 + 0*g**3 + 0*g**2 - w*g + 0*g**4 + 0. Suppose a(q) = 0. What is q?
0, 1
Let w(v) be the third derivative of v**6/120 + v**4/24 + 2*v**3/3 - 5*v**2. Let s(d) = 2*d**3 + 5. Let y(x) = 4*s(x) - 6*w(x). Solve y(j) = 0 for j.
-1, 2
Let f = 107 - 533/5. Let l(i) be the first derivative of -8/15*i**3 - f*i + 1/5*i**4 + 2/5*i**5 + 1 - 4/5*i**2 + 2/15*i**6. Solve l(o) = 0.
-1, -1/2, 1
Determine s so that -18*s - 3/2*s**4 + 3*s**2 - 27/2 + 6*s**3 = 0.
-1, 3
Suppose -5*w + 4*w + 3 = 0. Let y(o) = 2*o - 7. Let m be y(6). Factor 0*b**2 - 6/5*b**4 + 4/5*b**m + 2/5*b**w + 0*b + 0.
2*b**3*(b - 1)*(2*b - 1)/5
Let y(x) = x**4 + x**2 + x - 1. Let g(q) = 8*q**4 - 14*q**3 - 20*q**2 - 8*q - 10. Let c(v) = -2*g(v) + 20*y(v). Factor c(o).
4*o*(o + 1)*(o + 3)**2
Let c(s) = -s**2 - 1. Let o(f) = -8*f**2