 1099/2735 - 1/547. Solve b*o**5 - 4/5*o**4 + 2/5*o**3 + 0 + 0*o + 0*o**2 = 0 for o.
0, 1
Let u(g) be the first derivative of -g**4/6 - 4*g**3/9 - 10. What is b in u(b) = 0?
-2, 0
Find n such that 0 - 1/10*n**2 - 1/10*n**5 + 1/10*n**4 + 3/10*n**3 - 1/5*n = 0.
-1, 0, 1, 2
Let l(j) = j**2 - 3*j - 7. Let a be l(5). Determine x, given that -x**2 + 1/3*x**4 + 2/3 - 1/3*x + 1/3*x**a = 0.
-2, -1, 1
Let z be ((-396)/(-96))/(3/4*1). Let -1 + 19/2*r**4 - 1/2*r**3 + z*r - 5*r**5 - 17/2*r**2 = 0. What is r?
-1, 2/5, 1/2, 1
Factor 2/15*c**2 - 8/5*c + 24/5.
2*(c - 6)**2/15
Let a be (-266)/11 - (-10)/55. Let g be ((-4)/3)/(8/a). Determine t so that -3*t**4 + 2*t**5 - g*t**5 + 0*t**4 + t**4 = 0.
-1, 0
Let m(d) be the first derivative of -d**4/4 + d**2/2 - d + 2. Let y be m(-2). Determine n, given that y - 5 + 2*n + 2*n**2 = 0.
-1, 0
Let i be (-2)/(-5) - 16/(-10). Suppose 3*r + 2*r + 4*q - 36 = 0, -28 = -5*r - 2*q. Factor -i*c**2 - r*c + 5*c**2 - c**2.
2*c*(c - 2)
Let t(z) be the first derivative of z**4/14 + 10*z**3/21 + 8*z**2/7 + 8*z/7 + 2. Factor t(a).
2*(a + 1)*(a + 2)**2/7
Let j(g) be the third derivative of -g**5/15 - g**3 - 4*g**2. Let d(b) = -4*b**2 - b - 7. Let r be 2/8 + (-38)/(-8). Let u(x) = r*d(x) - 6*j(x). Factor u(p).
(p - 1)*(4*p - 1)
Suppose 0 = -5*p + 5 - 0. Let a(u) = 2*u**5 + 6*u**4 + 2*u**3 - 6*u**2 - 8*u - 2. Let x(h) = -h**3 - h**2 - h. Let s(l) = p*a(l) - 2*x(l). Solve s(q) = 0.
-1, 1
Suppose 0 = 4*j + j + 10. Let n be j + (1 - 0)*5. Let t**2 - 5*t + t + n*t = 0. What is t?
0, 1
Suppose 2*l - 1 = -1. Factor -2/3*v + 1/3*v**2 + l.
v*(v - 2)/3
Let h(u) be the first derivative of -1/3*u**2 - 1/9*u**3 + 1/3*u + 1/6*u**4 + 2. Determine k, given that h(k) = 0.
-1, 1/2, 1
Factor -32/11*d - 2/11*d**5 + 50/11*d**2 + 14/11*d**4 - 38/11*d**3 + 8/11.
-2*(d - 2)**2*(d - 1)**3/11
Let d(b) be the third derivative of -7*b**5/20 - 23*b**4/8 - 3*b**3 - 7*b**2. Factor d(t).
-3*(t + 3)*(7*t + 2)
Find k, given that -2*k**3 + 0*k**5 + k**5 + 0*k**4 + 2*k**2 - k**4 - 1 + k = 0.
-1, 1
Let j(i) be the third derivative of -i**8/20160 + i**7/5040 + i**5/30 - 2*i**2. Let b(v) be the third derivative of j(v). Find r such that b(r) = 0.
0, 1
Suppose 3*h - 5 = -4*l + 2*h, -4 = l + 2*h. Let y(w) be the first derivative of l*w**3 - 1/2*w**4 - 3 - 3*w**2 + 2*w. Let y(s) = 0. What is s?
1
Determine x so that 0*x + 3/7*x**2 - 3/7 = 0.
-1, 1
Let i(a) = a**3 + 4*a**2 + 3*a. Let t be i(-3). Let q(k) be the second derivative of t + 0*k**4 + 4/9*k**3 + 0*k**2 - 1/10*k**5 - 1/45*k**6 + 3*k. Factor q(v).
-2*v*(v - 1)*(v + 2)**2/3
Let q(y) be the first derivative of -1 + 1/2*y**2 + 1/5*y**5 - 1/4*y**4 - 1/3*y**3 + 0*y. Factor q(u).
u*(u - 1)**2*(u + 1)
Let j(q) be the first derivative of 5*q**6/18 - 4*q**5/3 + 25*q**4/12 - 10*q**3/9 - 62. Factor j(w).
5*w**2*(w - 2)*(w - 1)**2/3
Let w be (1/(-3))/(3/(-9)). Let b(p) be the first derivative of 1/12*p**6 - 1/4*p**4 + 1/4*p**2 + 1/10*p**5 + w + 1/2*p - 1/3*p**3. Factor b(g).
(g - 1)**2*(g + 1)**3/2
Suppose -11 = -2*l - 7. Let z(w) = -3*w**3 - 3*w**2 + 2. Let u(x) = -3*x**3 - 3*x**2 + 3. Let t(h) = l*u(h) - 3*z(h). Factor t(k).
3*k**2*(k + 1)
Let -1/2*j**2 - 1/2 + j = 0. What is j?
1
Determine z, given that 0 + 4/7*z + 0*z**3 - 4/7*z**5 - 8/7*z**4 + 8/7*z**2 = 0.
-1, 0, 1
Let x(z) = z**3 + z - 2. Let t(b) = -2*b**3 + b**2 - b + 2. Let k(r) = -4*t(r) - 6*x(r). Suppose k(w) = 0. What is w?
-1, 1, 2
Let n(p) = 2*p**2 - 7*p + 4. Let z be n(4). Let a = 12 - z. Factor 4 + 6*w**3 + 4 + 11*w**3 + 34*w**2 + 28*w + 3*w**a.
(w + 1)*(w + 2)**2*(3*w + 2)
Let h(x) = -x**2 - 8*x + 8. Let m be h(-6). Suppose -6*q = -q - m. Solve 2 + 2*o - 4*o**2 + 6*o**q - 4*o**4 - 2*o = 0.
-1, 1
Determine a, given that 9*a**3 - 3*a**2 + 13*a**4 - 9*a**3 - 10*a**4 = 0.
-1, 0, 1
Suppose -2 = -6*m + 10. Determine g, given that -2*g**m - 5/2*g - 1/2*g**3 - 1 = 0.
-2, -1
Factor -5*f**3 - 13 - 2 - 30*f**2 - 15 - 55*f.
-5*(f + 1)*(f + 2)*(f + 3)
Suppose 9*r = -0*r + 54. Let l(s) be the second derivative of 0*s**2 + 0 - 13/90*s**r - 3/20*s**5 + 1/9*s**3 + 1/36*s**4 - 3*s - 5/126*s**7. Solve l(t) = 0.
-1, 0, 2/5
Let m(j) be the first derivative of -8*j**4 + 0*j**2 - 4/3*j**3 - 6 + 27/2*j**6 + 0*j - 9*j**5. Solve m(t) = 0 for t.
-2/9, 0, 1
Let l(n) = -n**4 - 16*n**3 + 6*n**2 + 6*n + 6. Let k(i) = -i**4 - i**3 + i**2 + i + 1. Let r(a) = -6*k(a) + l(a). Solve r(q) = 0 for q.
0, 2
Let g(k) = -3*k**5 - 6*k**4 + 6*k**2 + 3*k - 4. Let x(s) = -24*s**5 - 48*s**4 + 48*s**2 + 24*s - 33. Let h(f) = -33*g(f) + 4*x(f). Factor h(v).
3*v*(v - 1)*(v + 1)**3
Let p(c) be the first derivative of 6*c**3 + 27*c**2 + 1 + 54*c + 1/2*c**4. Let p(n) = 0. Calculate n.
-3
Let 4*b**2 - 27*b + 25*b - 4*b**4 + 2*b**5 + 0*b**5 = 0. Calculate b.
-1, 0, 1
Let u be (-12)/4*6/(-27). Let k be (-35)/(-14) + 2/(-4). Find a, given that 2*a - 4/3 - u*a**k = 0.
1, 2
Let a(v) be the first derivative of v**3/12 + v**2/8 - v/2 + 3. Let a(s) = 0. What is s?
-2, 1
Let s(a) be the first derivative of -1/3*a**6 + 3/5*a**5 + 0*a + 1/2*a**2 + 1/4*a**4 + 4 - a**3. What is t in s(t) = 0?
-1, 0, 1/2, 1
Let j(m) be the third derivative of -m**5/60 - 4*m**2. Let z(s) = -s. Let v(y) = j(y) - z(y). Find l such that v(l) = 0.
0, 1
Let m be (-204)/(-140) - (-3)/(-5). Solve -m*d + 2*d**3 - 6/7*d**2 + 4/7 - 6/7*d**4 = 0 for d.
-2/3, 1
Let s(u) be the second derivative of u**4/4 + 7*u**3 + 147*u**2/2 + 11*u. Factor s(d).
3*(d + 7)**2
Let l(r) = -r. Let g(u) = 3*u. Let t(i) = g(i) + 5*l(i). Let d be t(-2). What is x in -2*x**4 - d*x - 5*x**3 + 3*x**3 + 2 + 6*x**3 = 0?
-1, 1
Let c(z) be the second derivative of -9/40*z**5 - 13/12*z**3 + 1/2*z**2 - 3*z + 5/6*z**4 + 0. Factor c(q).
-(q - 1)**2*(9*q - 2)/2
Let b(c) be the second derivative of -2*c**6/15 - c**5/5 + c**4/3 + 2*c**3/3 - 10*c. Solve b(f) = 0.
-1, 0, 1
Determine z, given that 10*z + z**3 + z - 4*z**2 - 7*z = 0.
0, 2
Let i(g) = 14*g**2 - 20*g + 8. Let w(q) = -2*q**2 + 2*q + 13. Let v(u) = u**2 - u - 6. Let d(z) = 13*v(z) + 6*w(z). Let b(s) = -12*d(s) + i(s). Factor b(x).
2*(x - 2)**2
Suppose -3 = 2*l - 9. Factor 2*d**4 - 5*d + 4*d + 2*d - 2 + l*d - 4*d**3.
2*(d - 1)**3*(d + 1)
Let i = 126 + -503/4. Suppose -i*g**5 - 1/2 + g**2 - 1/2*g**4 + 1/2*g**3 - 1/4*g = 0. Calculate g.
-2, -1, 1
Suppose 4 = 2*b - 5*r + 3*r, 20 = b + 5*r. Determine f so that 4*f - 7*f**4 + f**b - 3*f**5 - 2*f**3 + 0*f + 6*f**2 + f**4 = 0.
-2, -1, 0, 1
Let p(y) be the first derivative of 1/5*y**4 + 2/15*y**3 + 0*y**2 - 2 + 0*y + 2/25*y**5. Factor p(a).
2*a**2*(a + 1)**2/5
Let g be 7/21 - 1/3. Let y(a) be the first derivative of 2 + g*a + 1/3*a**2 - 1/9*a**3. Suppose y(q) = 0. What is q?
0, 2
Let z(i) be the third derivative of -i**7/280 + i**6/240 + i**5/60 - i**4/48 - i**3/24 - 36*i**2. Solve z(f) = 0 for f.
-1, -1/3, 1
Let o = 8 - 11. Let t = -1 - o. Factor t*x**3 + 4*x**3 - 28 + 3*x**4 + 3*x**2 + 28.
3*x**2*(x + 1)**2
Let r = -8 - -20. Suppose r = v + 3*v. Suppose 3*t**3 - 22*t**2 + 10*t + 8*t**3 + 4 - 3*t**v = 0. Calculate t.
-1/4, 1, 2
Let y(o) be the first derivative of 8*o**5/5 + 11*o**4/2 + 10*o**3/3 - 2*o**2 - 1. Suppose y(r) = 0. Calculate r.
-2, -1, 0, 1/4
Let q = 8 - 4. Let l(u) = 2*u - 6. Let z be l(q). Determine w so that 3*w**z - 5*w**2 + w + w**2 - w**3 + 1 = 0.
-1, 1
Factor 5/2*t + 3/4*t**2 + 3/4.
(t + 3)*(3*t + 1)/4
Let u(y) be the third derivative of -1/60*y**6 - 1/3*y**3 + 0 + 0*y + 1/12*y**4 + 1/30*y**5 - 3*y**2. Factor u(i).
-2*(i - 1)**2*(i + 1)
Let g(y) be the third derivative of y**8/560 - y**7/420 + y**6/1080 - y**3/2 + 7*y**2. Let f(a) be the first derivative of g(a). Factor f(r).
r**2*(3*r - 1)**2/3
Let x(d) be the third derivative of -d**11/213840 - d**10/75600 - d**9/136080 - d**5/15 + 2*d**2. Let s(o) be the third derivative of x(o). Factor s(u).
-2*u**3*(u + 1)*(7*u + 2)/9
Suppose 0 = 4*w - 10*w + 12. Suppose 2*q + 4/9 + 14/9*q**w = 0. What is q?
-1, -2/7
Find n such that -12/7*n**4 - 24/7*n + 12/7 - 57/7*n**3 - 81/7*n**2 = 0.
-2, -1, 1/4
Let x(k) be the first derivative of -3*k**5/5 + k**3 - 5. Factor x(n).
-3*n**2*(n - 1)*(n + 1)
Let q(h) be the third derivative of -h**6/180 - h**5/36 - h**4/18 - h**3/18 + 6*h**2. Factor q(x).
-(x + 1)**2*(2*x + 1)/3
Let z = 15 - 11. Let y(s) = -s**4 + 6*s**3 - 4*s**2 - 4*s - 4. Let j(d) = d**4 - 7*d**3 + 5*d**2 + 5*d + 5. Let x(v) = z*j(