 + 2*s - 3/20*s**5 + 1/6*s**3 + 0 - 1/12*s**4 + 1/6*s**6 + 0*s**2. Solve c(r) = 0.
-1/2, 0, 1
Suppose x - 4 = -0*x. Suppose -2*b = -2*c - 4*b - 2, -x*b = 12. Let -d**2 - c*d**2 + 4*d**2 - d = 0. What is d?
0, 1
Let z be (2/(-16))/(21/(-28)). Let k(g) be the second derivative of 1/6*g**3 + 0*g**2 + z*g**4 + 1/20*g**5 + g + 0. Solve k(p) = 0.
-1, 0
Let j(d) = d + 4. Let p be j(-4). Let b(h) be the first derivative of -1 + 0*h**2 + 0*h**4 - 3/20*h**5 + 0*h - 1/8*h**6 + p*h**3. Solve b(f) = 0.
-1, 0
Let k(s) = s**4 - s**3 + s**2 + s. Let x(w) = -9*w**4 + 60*w**3 - 330*w**2 + 642*w. Let y(h) = 6*k(h) + x(h). Factor y(z).
-3*z*(z - 6)**3
Let o = -209/28 + 31/4. Suppose 4/7*j - o*j**2 + 0 - 6/7*j**3 = 0. What is j?
-1, 0, 2/3
Solve -2/9*n**5 + 0*n**2 + 0*n + 0 - 2/3*n**3 + 8/9*n**4 = 0 for n.
0, 1, 3
Let c = 163/1548 - -1/172. Let x(v) be the second derivative of 0*v**2 + 0*v**4 + 1/30*v**5 + 0 - c*v**3 - 3*v. Suppose x(p) = 0. What is p?
-1, 0, 1
Let b = -1/67 + 141/469. Let g(r) be the first derivative of -2/21*r**3 + 2/7*r**2 - 4 - b*r. Factor g(o).
-2*(o - 1)**2/7
Let g(d) = 4*d**2 + 20*d + 20. Let o(k) = 1. Let r(p) = g(p) - 4*o(p). Find n, given that r(n) = 0.
-4, -1
Factor 184*w**2 + 132*w - 21*w**4 + 57*w**4 - 2*w**5 + 120*w**3 + 6*w**5 + 36.
4*(w + 1)**3*(w + 3)**2
Suppose -22*u = -17*u. Let g(s) be the first derivative of 1/9*s**3 + 2 + 1/15*s**5 + 0*s**2 + u*s - 1/6*s**4. Factor g(j).
j**2*(j - 1)**2/3
Let p(h) be the third derivative of -h**4/24 + h**3 + 2*h**2. Let y be p(3). Factor 0*d**3 - 4*d**3 + y*d**3.
-d**3
Let r(v) = v**2 - 2*v + 1. Suppose u + 0*y + 2*y + 6 = 0, 2*y = -5*u + 10. Let l(p) = 3*p**2 - 3*p + 3. Let c(q) = u*l(q) - 9*r(q). Let c(g) = 0. What is g?
-1
Let n(h) be the third derivative of h**6/1440 - h**5/240 + h**3/3 - 3*h**2. Let z(s) be the first derivative of n(s). Solve z(g) = 0 for g.
0, 2
Let f(p) be the third derivative of -p**5/90 - p**4/36 - 3*p**2. Let f(j) = 0. What is j?
-1, 0
Let y = -11 + 15. Suppose 2*r + y = 4*r. What is b in 2/5 + 1/5*b**r + 3/5*b = 0?
-2, -1
Let y(t) = 11*t**3 - 11*t**2 - 16*t - 6. Let x(c) = -120*c**3 + 120*c**2 + 175*c + 65. Let f(w) = 6*x(w) + 65*y(w). Factor f(j).
-5*j*(j - 2)*(j + 1)
Let f(o) be the first derivative of -40*o**6 + 8*o**5 + 305*o**4/4 - 10*o**3 - 65*o**2/2 - 10*o + 21. Determine c, given that f(c) = 0.
-1, -1/4, 2/3, 1
Let i(q) be the third derivative of -q**8/10080 + q**7/2520 + q**5/30 + 3*q**2. Let m(n) be the third derivative of i(n). Factor m(j).
-2*j*(j - 1)
Suppose -1 = 5*s - 11. Suppose 7 = s*i + h, 0 = i - 4*i - 2*h + 11. Let -11/3*x - 2/3 - 4/3*x**i - 13/3*x**2 = 0. Calculate x.
-2, -1, -1/4
Let v be -1 + 1 - 12/(-48). Determine u, given that -1/4*u**4 + v*u**5 + 0 - 3/4*u**3 + 5/4*u**2 - 1/2*u = 0.
-2, 0, 1
Let v be (-12)/80*-5*54/3. Let t(j) be the first derivative of v*j**2 - 27/4*j**4 + 5*j**3 + 4 + 6*j - 21/5*j**5. Determine o so that t(o) = 0.
-1, -2/7, 1
Solve 0 - 3/8*m**4 + 3/8*m**2 - 9/8*m**3 + 3/8*m**5 + 3/4*m = 0 for m.
-1, 0, 1, 2
Let c(h) = 12*h**3 - 8*h**2 - 4*h + 8. Let s(t) = t**3 + t + 1. Let z(o) = c(o) - 8*s(o). Factor z(g).
4*g*(g - 3)*(g + 1)
Let c = -9855/44 + 756/11. Let o = c - -156. Suppose -3/4*d**2 + 1/4*d + 0 + o*d**4 + 1/4*d**3 - 1/2*d**5 = 0. What is d?
-1, 0, 1/2, 1
Let q be (-4 - 18/(-14)) + 3. Factor 0 - 2/7*p + 0*p**2 + 0*p**4 - q*p**5 + 4/7*p**3.
-2*p*(p - 1)**2*(p + 1)**2/7
Let k(d) be the first derivative of -2*d**3/3 + 3*d**2 + 8*d + 12. Determine s, given that k(s) = 0.
-1, 4
Factor 9/2 + 3*r + 1/2*r**2.
(r + 3)**2/2
Let z(d) be the first derivative of d**5/10 + d**4/2 + 2*d**3/3 - d - 2. Let v(c) be the first derivative of z(c). Factor v(w).
2*w*(w + 1)*(w + 2)
Let u(h) be the second derivative of -h**5/40 - h**4/8 - h**3/4 - h**2/4 - 7*h. Let u(o) = 0. Calculate o.
-1
Let x(r) be the first derivative of -3*r**4/4 + r**3 + 15*r**2/2 + 9*r + 2. Factor x(d).
-3*(d - 3)*(d + 1)**2
Let p(s) = -4*s**2 + 3*s - 9. Let k(g) be the third derivative of -23*g**5/60 + 19*g**4/24 - 9*g**3 + 3*g**2. Let l(q) = 6*k(q) - 34*p(q). Factor l(u).
-2*(u - 3)**2
Let g(v) = v**3 - 3*v**2 - 4*v + 2. Let r be g(4). Suppose 2*h = -h + 9. Suppose 3*t**2 + t**h + r*t**2 - 3*t**2 + t = 0. Calculate t.
-1, 0
Let j(p) be the first derivative of -p**3 + 15*p**2 - 75*p - 6. Solve j(a) = 0.
5
Let y(d) = -d**3 + 4*d**2 + 6*d + 1. Let v be y(5). Suppose -8*w - v = -11*w. Factor -2/7*x - 2/7*x**w + 4/7.
-2*(x - 1)*(x + 2)/7
Let q(s) = -s**2 + 5*s - 2. Suppose -8 - 8 = -4*a. Let j be q(a). Let 5*v**5 + 5*v**5 + 5*v**j + v - 5*v**4 - 5*v**3 - 2*v - 4*v**5 = 0. Calculate v.
-1, 0, 1/3, 1/2, 1
Factor 0*z**3 - 3*z**4 - 6*z**3 - 37*z**2 + 28*z**2 + 2*z**4.
-z**2*(z + 3)**2
Let r(q) be the third derivative of 0*q - 29/100*q**6 + 3/25*q**7 + 8/25*q**5 - 1/5*q**3 + 0 - 11/560*q**8 - 3*q**2 - 3/40*q**4. Factor r(v).
-3*(v - 1)**4*(11*v + 2)/5
Let q(z) be the first derivative of z**6/540 - z**5/270 - z**4/54 + 2*z**2 + 2. Let b(g) be the second derivative of q(g). Find k, given that b(k) = 0.
-1, 0, 2
Let q(a) be the second derivative of -a**4/12 - a**2/2 + 2*a. Let g = 5 - 6. Let k(x) = -2*x**2 - 6. Let d(b) = g*k(b) + 4*q(b). Let d(r) = 0. Calculate r.
-1, 1
Let k be (5/((-20)/12))/(-1). Let v(g) be the third derivative of -2*g**2 + 1/15*g**k + 0 - 1/300*g**5 + 0*g + 1/120*g**4. Solve v(u) = 0.
-1, 2
Let p(o) be the third derivative of -o**6/200 + 9*o**5/100 - o**4/5 - 10*o**2. Factor p(q).
-3*q*(q - 8)*(q - 1)/5
Let o(f) be the third derivative of -1/330*f**5 + 0*f**4 + 3*f**2 + 0*f + 0 + 1/33*f**3. What is q in o(q) = 0?
-1, 1
Let m(k) be the first derivative of -9/25*k**5 + 2/5*k**3 - 1/10*k**6 + 1 - 3/10*k**4 + 3/5*k + 9/10*k**2. Factor m(z).
-3*(z - 1)*(z + 1)**4/5
Let n = 12007/45 + -1323/5. Factor n*v**2 + 8/9*v - 16/9 - 2/9*v**3 - 8/9*v**4 - 2/9*v**5.
-2*(v - 1)**2*(v + 2)**3/9
Let i be (1/9)/((-15)/(-18)). Let q(d) be the first derivative of -2 + 1/5*d**2 + i*d**3 + 0*d. Solve q(n) = 0 for n.
-1, 0
Let h = 10 - 7. Suppose 2*s + 2 = 4*f - 0*s, -h*f = 3*s - 24. Factor 3/4*g**2 + 3/4*g**f + 1/4*g**4 + 1/4*g + 0.
g*(g + 1)**3/4
Let y(n) be the first derivative of 3*n**4/16 - n**3/3 + n**2/8 + 4. Factor y(k).
k*(k - 1)*(3*k - 1)/4
Let q(l) = -2*l**3 - 4*l**2 + 11*l + 5. Let j(m) = -m**3 + m**2 + m + 1. Let b(y) = -5*j(y) + q(y). Find w such that b(w) = 0.
0, 1, 2
Let u(p) = -21*p - 1 + 4 + 15*p + 1 + p**2. Let i(s) = 3*s**2 - 17*s + 11. Let v(y) = 4*i(y) - 11*u(y). Solve v(q) = 0 for q.
0, 2
Let m(f) = -5*f - f - f**2 - 2 - 1. Let g be m(-5). Factor 4*j + 6*j**2 + 10*j**3 - j**2 + 9*j**g.
2*j*(j + 1)*(5*j + 2)
Suppose 0*a - a = 0. Factor -2*s**3 + a*s + 0*s.
-2*s**3
Let q(g) be the third derivative of g**8/26880 + g**7/10080 + g**4/4 - 8*g**2. Let s(u) be the second derivative of q(u). Suppose s(m) = 0. What is m?
-1, 0
Determine y, given that 0 + y**3 + 0*y + 0*y**4 - 2/3*y**2 - 1/3*y**5 = 0.
-2, 0, 1
Let u(s) be the first derivative of -4*s**3/3 - 7*s**2 - 49*s/4 - 23. Factor u(j).
-(4*j + 7)**2/4
Let s = -196/3 - -66. Determine v, given that -4/3*v - 2/3*v**2 - s = 0.
-1
Let s(h) be the second derivative of -5*h + 0 + 1/3*h**3 + 1/30*h**5 - 1/6*h**4 - 1/3*h**2. Find l, given that s(l) = 0.
1
Find c such that c + 47*c**2 - 43*c**2 + 3*c = 0.
-1, 0
Determine i so that -4*i**2 + 4*i**4 - 4*i**3 + 4*i + 0*i - i + i = 0.
-1, 0, 1
Let i(u) be the first derivative of -u**4/16 + u**3/12 + u**2/4 + 7. Factor i(o).
-o*(o - 2)*(o + 1)/4
Let l(d) be the third derivative of d**6/90 - d**5/30 - 11*d**4/36 + 2*d**3/3 + 5*d**2. Let l(m) = 0. What is m?
-2, 1/2, 3
Let 0 + 12*y - 3/2*y**2 = 0. What is y?
0, 8
Let h be (12/(-10))/(57/(-190)). Factor 10 + h*f**4 + 4*f**5 - 4*f**2 - 10 - 12*f**3 + 8*f.
4*f*(f - 1)**2*(f + 1)*(f + 2)
Let y be 16/12*(14 + 1). Determine n so that -4 + y*n - 26*n**2 - n**3 + 9*n**2 - 15*n**2 + 17*n**3 = 0.
1/2, 1
Let z be (-4)/20 + (-1)/(-5). Let d = 1 - z. Factor -2*m**2 - 1 - d + m**2 + 3*m.
-(m - 2)*(m - 1)
Let l(z) = z**2 + 14*z + 9. Suppose 2 - 5 = -o. Let t(m) = -15*m - 9. Let a(f) = o*l(f) + 2*t(f). Find q such that a(q) = 0.
-3, -1
Let a(f) be the second derivative of 1/10*f**6 + f - 3/20*f**5 + 0 + 0*f**4 + 0*f**3 + 0*f**2. Factor a(u).
3*u**3*(u - 1)
Factor 17*n**3 - 3929*n - 4*n**4 - 12*n**2 + 3933*n - 5*n**3.
-4*n*(n - 1)**3
Fac