actor 7*t**2 + t**4 - b*t**2 - 2*t**4.
-t**2*(t - 1)*(t + 1)
Let l(y) = 5*y**4 + 5*y**3 - 7*y**2 + 6*y. Let j(k) = -14*k**4 - 14*k**3 + 22*k**2 - 18*k. Let d(m) = 3*j(m) + 8*l(m). Factor d(w).
-2*w*(w - 1)**2*(w + 3)
Factor -9 + 9/2*c**3 + 3/2*c + 15*c**2.
3*(c + 1)*(c + 3)*(3*c - 2)/2
Determine t, given that -2*t**3 - 7*t**3 + 4*t**3 + 2*t**3 + 9*t**2 = 0.
0, 3
Suppose -3*y - 6 = -12. Solve -32/5*o + y*o**2 + 8/5 + 10*o**3 = 0 for o.
-1, 2/5
Let h(t) = -t**3 + t**2 - 2. Let z(i) = i**2 - 1. Suppose -v + 3 = 1. Let k(c) = v*z(c) + h(c). Factor k(m).
-(m - 2)**2*(m + 1)
Let c(u) be the third derivative of -1/24*u**4 + 0 + 0*u**3 - 1/60*u**6 + 2*u**2 + 0*u - 1/420*u**7 - 1/24*u**5. Solve c(s) = 0 for s.
-2, -1, 0
Let c(s) be the first derivative of s**4/8 - 2*s**3/9 - s**2/12 + s/3 - 1. Factor c(p).
(p - 1)**2*(3*p + 2)/6
Factor -6 + 2*j**2 + 6 - 10 - 4*j**2 + 12*j.
-2*(j - 5)*(j - 1)
Factor 6/13*u**2 + 2/13*u**3 + 2/13 + 6/13*u.
2*(u + 1)**3/13
Let p(f) = 2*f - 12. Let r be p(8). Let h(j) be the first derivative of -2 + j - 3/5*j**5 + j**r + 2/3*j**3 - 2*j**2. Suppose h(y) = 0. Calculate y.
-1, 1/3, 1
Let 1/7*c**2 + 484/7 + 44/7*c = 0. Calculate c.
-22
Let d = 3/253 - -43/253. Let 2/11 + d*a**2 - 4/11*a = 0. Calculate a.
1
Suppose 5*f - 5 = 4*f - j, 0 = -4*f - 3*j + 15. Factor -6/11*q**2 + f - 2/11*q**3 + 0*q.
-2*q**2*(q + 3)/11
Suppose -2*o - 6 = -3*a, -3*o - 5 = -3*a + 7. Let i = o + 8. Solve 0 + 0*k**i - 2/7*k**3 + 0*k = 0 for k.
0
Let s(f) be the second derivative of f**10/75600 + f**9/37800 + f**4/4 + 3*f. Let j(y) be the third derivative of s(y). Factor j(c).
2*c**4*(c + 1)/5
Let k(x) = 15*x - 1. Let f be k(1). Let z = -10 + f. Factor -2*s**2 - 1 - z*s - 1 + 0.
-2*(s + 1)**2
Suppose -h - 3 = 0, -9 = v - 3*h - 20. Factor -6*n - 3 - 3/4*n**3 - 15/4*n**v.
-3*(n + 1)*(n + 2)**2/4
Let d(n) be the first derivative of n**4/10 - 4*n**3/15 - 3*n**2/5 - 1. Determine x, given that d(x) = 0.
-1, 0, 3
Let b be 15*3/9 - 4. Let q(j) be the first derivative of -b + 8*j + 4*j**2 + 2/3*j**3. Determine h so that q(h) = 0.
-2
Suppose -3/4*o + 3/4*o**3 + 0 + 3/4*o**4 - 3/4*o**2 = 0. What is o?
-1, 0, 1
Let l(v) = 3*v**2 - 7*v + 1. Let c be l(5). Let y = c - 121/3. Solve -y + g**2 - 1/3*g = 0.
-2/3, 1
Let m(s) be the first derivative of -2*s**3/15 - 3*s**2/10 - s/5 - 5. Factor m(b).
-(b + 1)*(2*b + 1)/5
Suppose -o = -4*w + 27, 2*o + 0*w + 9 = -w. Let m = -4 - o. What is z in 0 + 0*z - 4/9*z**m - 2/9*z**2 - 2/9*z**4 = 0?
-1, 0
Let m = 17 + -33/2. Let t be 148/28 + 2/(-7). Let -z**2 - 3/4*z**t + m*z**3 + z**4 + 1/4*z + 0 = 0. What is z?
-1, 0, 1/3, 1
Let f(x) be the second derivative of x**6/12 + x**5/8 + 8*x. Factor f(m).
5*m**3*(m + 1)/2
Let y(p) be the second derivative of -p**6/150 - p**5/100 + p**4/15 + 2*p**3/15 - 7*p. Suppose y(n) = 0. What is n?
-2, -1, 0, 2
Let r(k) = 6*k**5 + 21*k**4 + 18*k**3 + 2*k**2. Let v(c) = -42*c**5 - 147*c**4 - 126*c**3 - 15*c**2. Let h(z) = -15*r(z) - 2*v(z). Suppose h(w) = 0. What is w?
-2, -3/2, 0
Let m(t) = 3*t**2 + 2*t - 2. Let p be m(-2). Factor -c**2 + 4*c**4 - 9*c**4 + 4*c**3 + p*c**4 - 3*c**3 - c.
c*(c - 1)*(c + 1)**2
Let i(a) = -2*a**3. Let p be i(-1). Factor c**p - 2*c**4 + 5*c**3 - 2*c**2 - c**2 - c**3.
-2*c**2*(c - 1)**2
Let k = 1579/4 - 392. Let l = k + -47/20. Suppose -1/5*a**3 + 0*a**2 + 0*a - 1/5*a**5 + 0 - l*a**4 = 0. Calculate a.
-1, 0
Let k(g) be the second derivative of g**6/15 - g**5/5 + 24*g. Factor k(f).
2*f**3*(f - 2)
Let j(a) be the third derivative of -a**7/2100 + a**6/450 - a**5/300 + 2*a**3/3 + a**2. Let w(c) be the first derivative of j(c). Factor w(b).
-2*b*(b - 1)**2/5
Let t(v) be the second derivative of v**6/180 - v**5/15 + v**4/3 + v**3/2 + 3*v. Let j(u) be the second derivative of t(u). Factor j(d).
2*(d - 2)**2
Suppose 84 = -2*s + 90. Let p(o) be the first derivative of 0*o**2 + 2/25*o**5 - 4/15*o**s + 2/5*o + 0*o**4 - 2. Factor p(m).
2*(m - 1)**2*(m + 1)**2/5
Let j(f) be the second derivative of -f**8/120 - f**7/105 - f**6/315 - f**3/3 - 2*f. Let s(x) be the second derivative of j(x). Factor s(n).
-2*n**2*(7*n + 2)**2/7
Let k(z) = -3 + 8 + 7*z**2 + 0 + 3*z. Let f be 4/(-10) - (-54)/10. Let d(m) = 8*m**2 + 4*m + 6. Let n(o) = f*d(o) - 6*k(o). Let n(q) = 0. Calculate q.
0, 1
Let d(r) be the third derivative of 0*r + 0 - 1/2*r**4 + 1/35*r**7 + 1/5*r**5 - 5/112*r**8 + 2*r**2 + 0*r**3 + 3/8*r**6. Solve d(z) = 0.
-1, 0, 2/5, 2
Suppose 4/7*k + 6/7*k**3 + 0 - 10/7*k**2 = 0. Calculate k.
0, 2/3, 1
Suppose 0 = -d - 0*d. Let g be (12/36)/(d + 1). Solve r + g + r**2 + 1/3*r**3 = 0.
-1
Let s(k) be the third derivative of k**5/15 + k**4/6 - 4*k**3/3 + 52*k**2. Solve s(o) = 0 for o.
-2, 1
Let z(q) be the second derivative of q**7/945 + q**6/180 + q**5/270 - q**4/36 - 2*q**3/27 - q**2 + 3*q. Let d(l) be the first derivative of z(l). Factor d(y).
2*(y - 1)*(y + 1)**2*(y + 2)/9
Let d(c) be the third derivative of 0 + 1/54*c**4 - 6*c**2 + 1/20*c**6 + 0*c - 13/270*c**5 + 0*c**3 + 1/216*c**8 - 23/945*c**7. Factor d(i).
2*i*(i - 1)**3*(7*i - 2)/9
Factor 0*z**2 + 1/4*z**3 + 0 - 1/4*z.
z*(z - 1)*(z + 1)/4
Solve 14/3*z**2 + 4/3*z**3 + 0 - 2/3*z**4 + 8/3*z = 0.
-1, 0, 4
Let q = -1174/7 + 169. Let p = q + 3/14. Factor -1/2*a + 2*a**2 - p*a**3 + 0.
-a*(a - 1)*(3*a - 1)/2
Let v(b) be the first derivative of b**4/20 - b**3/5 + 3*b**2/10 + 2*b - 2. Let w(s) be the first derivative of v(s). Let w(l) = 0. What is l?
1
Let n(y) be the third derivative of -y**5/20 + y**4/12 + y**3/6 + 7*y**2. Determine m, given that n(m) = 0.
-1/3, 1
Let z(j) be the third derivative of j**9/241920 + j**8/80640 - j**7/10080 - j**5/30 + 5*j**2. Let s(q) be the third derivative of z(q). Factor s(l).
l*(l - 1)*(l + 2)/4
Let l(g) be the first derivative of g**4/2 + 2*g**3/3 - 3. Factor l(n).
2*n**2*(n + 1)
Let l(r) be the third derivative of r**7/1470 - 2*r**6/105 + 8*r**5/35 - 32*r**4/21 + 128*r**3/21 + 7*r**2. Factor l(j).
(j - 4)**4/7
Let s(w) be the second derivative of w**6/60 - 7*w**5/40 + 5*w**4/8 - 3*w**3/4 - 10*w. Factor s(i).
i*(i - 3)**2*(i - 1)/2
Let w = 3898/7 - 556. Suppose 10 = 5*c - 0. Factor 2/7*t**3 - 2/7 + 6/7*t - w*t**c.
2*(t - 1)**3/7
Suppose o = -2*a - a - 15, -3*a - 15 = 0. Let r(h) be the third derivative of 0 + o*h**3 - h**2 - 1/240*h**6 + 0*h**5 + 1/48*h**4 + 0*h. Solve r(u) = 0.
-1, 0, 1
Let k be ((-5)/10)/((-1)/10). Let t = k - 23/5. Solve -1/5*j - t + 1/5*j**2 = 0.
-1, 2
Let a = 19 + -19. Let q(l) be the third derivative of -1/60*l**6 - 1/90*l**5 + 1/18*l**4 + 0 + 0*l + l**2 + a*l**3. Determine z, given that q(z) = 0.
-1, 0, 2/3
Let w(d) = -14*d**4 + 42*d**3 - 36*d**2 + 12*d - 2. Let s(t) = -t**4 + t**3 + 2*t - 1. Let q(z) = -2*s(z) + w(z). Factor q(r).
-4*r*(r - 2)*(r - 1)*(3*r - 1)
Let b(z) be the third derivative of -z**5/15 - z**4/2 - 4*z**3/3 + 17*z**2. What is f in b(f) = 0?
-2, -1
Suppose -2*g - 2*g = -12. Let j be (-1 - g)/(-1 - 8). Suppose 0 + j*c + 14/9*c**4 + 22/9*c**2 + 32/9*c**3 = 0. Calculate c.
-1, -2/7, 0
Factor -10/7*x**2 - 2/7*x - 6/7*x**3 + 2/7.
-2*(x + 1)**2*(3*x - 1)/7
Suppose 8 = -5*k - 2*b, -4*k = k + b + 4. Let i(z) be the first derivative of -4*z**2 + 1 + 40/3*z**3 + k*z - 25/2*z**4. Find y, given that i(y) = 0.
0, 2/5
Let n(i) be the first derivative of i**3 + 9*i**2 + 24*i + 3. Suppose n(d) = 0. What is d?
-4, -2
Factor 2/17*x**3 + 28/17 + 10/17*x - 16/17*x**2.
2*(x - 7)*(x - 2)*(x + 1)/17
Factor -h**4 - 3 + 29*h**2 + 2 - 27*h**2.
-(h - 1)**2*(h + 1)**2
Let k(g) be the first derivative of -3*g**4 - 4*g**3/3 - 8. Find a, given that k(a) = 0.
-1/3, 0
Suppose 31 = 13*p + 5. Let o(n) = -n**2 - 4*n + 5. Let k be o(-5). Factor k*t - 2/5*t**p + 2/5.
-2*(t - 1)*(t + 1)/5
Let k(i) be the first derivative of 2*i**6/3 + 4*i**5/5 - 4*i**4 - 16*i**3/3 + 20. Factor k(j).
4*j**2*(j - 2)*(j + 1)*(j + 2)
Let -3*g**3 - 9*g**2 + 3*g**4 + 19*g - 2*g**3 - g**3 + 5*g - 12 = 0. What is g?
-2, 1, 2
Let t(n) be the second derivative of n**7/14 - n**6/15 - 7*n**5/20 - n**4/6 + 20*n. Let t(o) = 0. What is o?
-1, -1/3, 0, 2
Let b(q) be the second derivative of -q**6/15 + q**4/6 - 6*q. Determine a so that b(a) = 0.
-1, 0, 1
Suppose -20*m + 31 + 9 - 27*m**4 + 5*m**3 + 5*m**5 + 47*m**4 - 50*m**2 = 0. What is m?
-2, 1
Let v(x) = 27*x + x**3 + 5*x**2 - 15*x - 8*x + 3. Let q be v(-4). Determine j, given that 0*j**q + 1/