actor -15*o**2 + 5 + 8*o**2 + 11 + 3*o**2.
-4*(o - 2)*(o + 2)
Solve 26/7*u + 4/7 + 40/7*u**2 = 0.
-2/5, -1/4
Let c(w) = 5*w**4 + 3*w**3 + w**2 + 5*w - 14. Let v(d) = 2*d**4 + d**3 + 2*d - 5. Let p(g) = 3*c(g) - 8*v(g). Factor p(f).
-(f - 2)*(f - 1)*(f + 1)**2
Let j(b) = b**2 + 5*b - 12. Let x be j(-7). Let l(z) be the first derivative of -1/6*z**x + 1 - 2/3*z + 1/9*z**3. Find t, given that l(t) = 0.
-1, 2
Let v(b) be the second derivative of -b**8/420 + b**7/70 - 2*b**5/15 - b**3/2 + 8*b. Let a(r) be the second derivative of v(r). Factor a(y).
-4*y*(y - 2)**2*(y + 1)
Let c(n) be the second derivative of 5/21*n**3 + 2/105*n**6 - 1/7*n**5 - 2/21*n**4 + 2/7*n**2 + 5/147*n**7 + 0 - n. Determine f, given that c(f) = 0.
-1, -2/5, 1
Determine l, given that 6/7 - 1/7*l - 1/7*l**2 = 0.
-3, 2
Let q = 4 + -3. Let u(g) = -g**3 + 4*g**2 + 5*g + 6. Let w be u(5). Factor -q + w*b**4 + 5*b**2 + 2*b - 5*b**2 - 5*b**4 - 2*b**3.
(b - 1)**3*(b + 1)
Factor 2/17*h**2 + 28/17*h + 98/17.
2*(h + 7)**2/17
Let q(o) be the third derivative of o**7/2940 - o**5/420 + 2*o**3/3 + 2*o**2. Let c(s) be the first derivative of q(s). Factor c(a).
2*a*(a - 1)*(a + 1)/7
Let l(k) = 8*k**2 - 11*k - 3. Let q(j) = 7*j**2 - 10*j - 2. Let p be (-2)/4 + (-13)/(-2). Let f(m) = p*l(m) - 7*q(m). Suppose f(n) = 0. What is n?
2
Let d(x) = -x**2 - 4*x. Let p(c) = -c. Let y(r) = -2*d(r) + 6*p(r). Suppose y(s) = 0. Calculate s.
-1, 0
Let n(v) = -11*v**4 - 12*v**3 + 11*v**2 + 7*v - 5. Let r(p) = 5*p**4 + 6*p**3 - 5*p**2 - 4*p + 2. Let f(q) = -2*n(q) - 5*r(q). Factor f(a).
-3*a*(a - 1)*(a + 1)*(a + 2)
Let t be 2*2 + 236/(-60). Let n(f) be the third derivative of 4*f**2 + 0*f + 1/300*f**6 - 1/150*f**5 + t*f**3 - 1/60*f**4 + 0. What is s in n(s) = 0?
-1, 1
Suppose 7 = 2*c - 5. Suppose -4*l - 4*k = -16, -l - c = l - 5*k. Suppose -a + l*a**3 - 2*a + a**4 + a - 1 = 0. What is a?
-1, 1
Suppose 4*c - l = -4, -c + l - 4 = -0*c. Factor 0 + 0*u**2 + c*u - 2/7*u**3.
-2*u**3/7
Let b(l) be the first derivative of -2*l**5/35 - l**4/7 - 2*l**3/21 - 1. Factor b(v).
-2*v**2*(v + 1)**2/7
Let o = -362 + 9776/27. Let q = 23/54 + o. Find m such that 5/2*m**2 + 4*m + q*m**3 + 2 = 0.
-2, -1
Let t(o) = -o**2 + 6*o + 2. Suppose 3*k + b = 19, 3*k - b + 4*b = 27. Let w be t(k). Let -c**2 + 4*c**4 - 4*c**5 - w*c**4 - 3*c**3 + 3*c**5 = 0. Calculate c.
-1, 0
Solve -1/3*m**2 + 0*m + 4/3 = 0 for m.
-2, 2
Let u(c) be the second derivative of c**6/225 + c**5/75 + 9*c. Determine r so that u(r) = 0.
-2, 0
Let s = 2 + 1. Solve h - 15*h**s + 14*h**3 + 0*h = 0.
-1, 0, 1
Let x(k) = -k**2. Let t(c) = 12*c**2 - 8. Let o(f) = -t(f) - 10*x(f). Factor o(p).
-2*(p - 2)*(p + 2)
Let u be (1/(5/(-4)))/(12/(-10)). Solve -2/9*n**2 - 2/3*n**3 + 0*n - u*n**4 - 2/9*n**5 + 0 = 0.
-1, 0
Let c(z) be the second derivative of -z**7/21 + z**6/15 + 2*z**5/5 - 2*z**4/3 - 46*z. Let c(k) = 0. Calculate k.
-2, 0, 1, 2
Let s(m) be the first derivative of 6 + 3/5*m**5 + 0*m**2 + 0*m - 9/4*m**4 + 2*m**3. Suppose s(p) = 0. What is p?
0, 1, 2
Solve -214*c**2 - 10*c**4 - 216*c**2 + 5*c - 15*c**3 + 430*c**2 = 0 for c.
-1, 0, 1/2
Let i(t) be the first derivative of -t - 16/5*t**2 - 2 - 32/15*t**3 - 4/25*t**5 - 4/5*t**4 - 1/75*t**6. Let k(n) be the first derivative of i(n). Factor k(q).
-2*(q + 2)**4/5
Factor -1 - 3*z**2 - 2*z**2 + 5 + z**2.
-4*(z - 1)*(z + 1)
Let x(a) be the first derivative of -2*a**3/21 - 5*a**2/7 - 12*a/7 - 6. Factor x(j).
-2*(j + 2)*(j + 3)/7
Determine b, given that 3/5*b + 3/5*b**2 + 0 = 0.
-1, 0
Factor 1/2*q**4 + 0 + 0*q + 0*q**2 + 2*q**3.
q**3*(q + 4)/2
Suppose 6 = -44*x + 47*x. Let 2/3*u + 4/3*u**x + 0 + 2/3*u**3 = 0. What is u?
-1, 0
Let f = 92/7 + -269/21. Factor 0*p**2 + f*p**3 - 1/3*p**5 + 0*p**4 + 0 + 0*p.
-p**3*(p - 1)*(p + 1)/3
Determine i, given that 4*i**3 + 4 - 4219*i**2 + 12 + 4243*i**2 + 36*i = 0.
-4, -1
Let j = -245 + 245. Factor j*v**2 - 2*v + 0 + 1/2*v**4 + 3/2*v**3.
v*(v - 1)*(v + 2)**2/2
Solve 3/4*u - 15/4*u**2 + 9/4*u**3 + 3/4 = 0.
-1/3, 1
Let d(v) be the first derivative of 3 + 169/15*v**5 + 0*v + 0*v**2 + 13/3*v**4 + 4/9*v**3. Solve d(s) = 0 for s.
-2/13, 0
Suppose -6*o + 7*o - 2 = 0. Factor 0 - 24*d**4 - 26/3*d**o + 32*d**3 + 2/3*d.
-2*d*(d - 1)*(6*d - 1)**2/3
Suppose -2*m = 5*z + 25 - 4, -4 = 4*z. Let f be (-10)/25*10/m. Solve -1/2*t**3 - t**2 - f*t + 0 = 0.
-1, 0
Suppose 11 + 1 = 2*m. Let w(y) = -y**4 + y**3 - y**2. Let f(l) = 8*l**4 + 8*l**2 - 6*l - 4. Let g(s) = m*w(s) + f(s). Factor g(n).
2*(n - 1)*(n + 1)**2*(n + 2)
Suppose 4*p - 41 = -4*r - p, 3*r - 27 = -3*p. Solve -u**r - 2*u**3 + u**3 - u**4 = 0 for u.
-1/2, 0
Let w = 94/3 + -31. Let r be 8/(4 - 0 - 2). Determine z, given that 1/3*z**r - z**3 + 0 + z**2 - w*z = 0.
0, 1
Let f be (2/24)/(9/48). Let r(s) be the second derivative of 0 - 2*s + 1/54*s**4 + 4/27*s**3 + f*s**2. Determine a, given that r(a) = 0.
-2
Let f be 1/3 + 9/135. What is b in -2/5*b**4 + 2/5*b**3 + f*b**2 - 2/5*b + 0 = 0?
-1, 0, 1
Let j(f) be the third derivative of 2*f**2 + 0 + 0*f - 1/900*f**6 + 1/150*f**5 - 1/60*f**4 - 1/6*f**3. Let m(w) be the first derivative of j(w). Factor m(p).
-2*(p - 1)**2/5
Let n(x) be the third derivative of 2/105*x**7 + 0*x**6 + 0 + 0*x - 1/15*x**5 + 2*x**2 + 0*x**4 + 0*x**3. Factor n(o).
4*o**2*(o - 1)*(o + 1)
Let k(j) be the first derivative of j**9/7560 - j**8/4200 - j**7/2100 + j**6/900 + j**3 - 3. Let d(u) be the third derivative of k(u). Factor d(v).
2*v**2*(v - 1)**2*(v + 1)/5
Let g(k) = 4*k + 2. Let b be g(-2). Let i be (-12)/8*20/b. Find y such that 0*y**4 + y + 6*y**3 - y**4 + 4*y**2 + y**5 + i*y**4 + 0*y**3 = 0.
-1, 0
Let m(u) be the second derivative of -1/20*u**5 + 0*u**2 + 0 + 3*u + 1/12*u**4 + 0*u**3. Solve m(k) = 0 for k.
0, 1
Let s(j) be the first derivative of j**5/10 + j**4/24 - 5*j**3/18 - j**2/12 + j/3 + 23. Let s(t) = 0. Calculate t.
-1, 2/3, 1
Let d(t) = t**3 + 7*t + 2*t**2 - 5 - 11*t**2 + 2*t. Let l be d(8). Find b, given that 5*b**3 - l*b**4 - 3*b + 7*b + 4*b**4 + 8*b**2 = 0.
-2, -1, 0
Let v(q) = q**3 - 1 - 2 - 4*q**2 + 2 + q. Let d be v(4). Let -2*n**2 + 2*n - n**2 + 5*n**4 - 2*n**d - 2*n**2 = 0. Calculate n.
-1, 0, 2/5, 1
Let i(o) = 2*o**4 + 0*o**3 - 3*o**3 + 31*o**2 - 12*o**3 - 54 - o**3. Let x(v) = -3*v**4 + 24*v**3 - 47*v**2 + 81. Let j(b) = 7*i(b) + 5*x(b). Factor j(d).
-(d - 3)**3*(d + 1)
Let w = -9/26 - -11/13. Factor w + 1/2*j**2 - j.
(j - 1)**2/2
Factor 0*t**3 + t**4 - t**2 + 0 + 1/2*t - 1/2*t**5.
-t*(t - 1)**3*(t + 1)/2
Let p(d) be the first derivative of -d**4/8 + 5*d**3/6 - 2*d**2 + 2*d + 8. Solve p(q) = 0 for q.
1, 2
Let j(t) be the first derivative of 3*t**4/20 - 4*t**3/5 - 9*t**2/10 + 54*t/5 - 17. Suppose j(k) = 0. Calculate k.
-2, 3
Let f = -19/31 + 333/341. Suppose -f + 10/11*c**3 - 18/11*c**2 + 14/11*c - 2/11*c**4 = 0. What is c?
1, 2
Let z(g) be the third derivative of 1/2*g**7 + 6*g**2 + 0*g + 7/10*g**5 + 69/80*g**6 + 0*g**3 + 25/224*g**8 + 1/4*g**4 + 0. Find c, given that z(c) = 0.
-1, -2/5, 0
Let n(r) be the second derivative of r**5/210 - r**4/21 + 4*r**3/21 - 5*r**2/2 + r. Let t(l) be the first derivative of n(l). Solve t(v) = 0 for v.
2
Factor 5*i**2 + 3*i**4 + 5*i**3 + 2*i**4 - 25*i**2 - 20*i.
5*i*(i - 2)*(i + 1)*(i + 2)
Let z = -26 - -132/5. Find y, given that 0*y**3 + 0 - 2/5*y**4 + z*y**2 + 0*y = 0.
-1, 0, 1
Let h(u) = 4*u**2 + 8*u + 6. Let d(c) = 9*c**2 + 17*c + 11. Let m(j) = 6*d(j) - 13*h(j). Factor m(w).
2*(w - 3)*(w + 2)
Let t(o) = o**2 + 6*o - 2. Let d be t(-7). Solve 2*n**4 + 115 + 2*n**3 - 115 - 2*n**2 - 2*n**d = 0.
-1, 0, 1
Let b be 1/(-5)*(-8 + 10) - -1. Factor 1/5*c**2 + b*c + 2/5.
(c + 1)*(c + 2)/5
Let y = 32 - 30. Factor 0*o**y + 1/2*o**3 + 0*o + 0.
o**3/2
Let f(z) be the second derivative of 0 - 11/15*z**4 - 12/25*z**5 - 1/5*z**2 - 3/25*z**6 - 8/15*z**3 - 6*z. Factor f(m).
-2*(m + 1)**2*(3*m + 1)**2/5
Let w(n) be the first derivative of -2*n**6/3 + 12*n**5/5 - 5*n**4/4 - 10*n**3/3 + 9*n**2/2 - 2*n - 1. Find x such that w(x) = 0.
-1, 1/2, 1, 2
Let i = 1/1047 - -2435/8376. Let w = i - 1/24. Factor -w*u**2 + 0*u + 1/2*u**3 + 0.
u**2*(2*u - 1)/4
Suppose 4*y - 3*y - 3*r - 13 = 0, 2*y + 7 = -5*r. Suppose -y*n = -n - 9. Find b such that 4/3*b**4 - 10/3*b - 14/3*b**n + 2/3 + 6*b**2 = 0.
1/2, 1
Let c(m) = 2*m**3 + 1 - 8*m - 6*m**2 + 4 - 5*m**3 + 1. Let o(g) = g**3 + 2*g**2 + 3*g - 2. Let b(x) = -4*c(x) - 11