*4/21 + 31*y**3/42 - 4*y**2/7 - 47*y. Factor r(d).
-(d - 1)**4*(d + 8)/7
Factor 1/4*i**3 - i + 1 - 1/4*i**2.
(i - 2)*(i - 1)*(i + 2)/4
Let g(f) be the first derivative of f**3/3 - 5*f**2/2 + 6*f + 19. Factor g(p).
(p - 3)*(p - 2)
Let s be (1 - (4 - 3))/2. Let u be 14/35 + s + 0. Find f, given that 2/5*f + 0 + u*f**2 = 0.
-1, 0
Let j be (-1 + 3)/(10/65). Let g = -8 + j. What is z in -19*z**2 + 6*z - 22*z**4 + 30*z**3 - 2*z + z**2 + 0*z + 6*z**g = 0?
0, 2/3, 1
Let y(q) = -q - 3. Let v be y(-3). Suppose v - 3 = -u. Factor k**4 + 8*k**3 - 8*k**u + k**5.
k**4*(k + 1)
Let v be 2/(-32)*-4 + 6/(-24). Find t, given that -5/2*t**3 - 1/2*t + 2*t**2 + t**4 + v = 0.
0, 1/2, 1
Let f(m) be the third derivative of 1/60*m**4 + 0*m - 1/150*m**5 + 0*m**3 - 2*m**2 + 0. Factor f(o).
-2*o*(o - 1)/5
Let d(x) be the second derivative of -15*x**4/4 + 2*x**3 + 6*x**2 + 13*x. Find j, given that d(j) = 0.
-2/5, 2/3
Let d(i) = -4*i**2 - 5*i - 6. Let p(t) = -t - 6. Suppose 5*f = -0*f. Let q be p(f). Let n(b) = -5*b**2 - 6*b - 7. Let j(x) = q*d(x) + 5*n(x). Solve j(w) = 0.
-1, 1
Let r = 263 - 260. Factor 14/5*g**r - 38/5*g**2 - 12/5*g + 0.
2*g*(g - 3)*(7*g + 2)/5
Let y(s) be the third derivative of -s**5/210 - 5*s**4/14 - 75*s**3/7 + 55*s**2. Factor y(z).
-2*(z + 15)**2/7
Let w(b) be the second derivative of -3*b + 1/14*b**7 - 1/3*b**3 + 0*b**2 + 5/12*b**4 - 1/6*b**6 + 0 - 1/20*b**5. Suppose w(a) = 0. What is a?
-1, 0, 2/3, 1
Determine d, given that d**3 + 36 - 36 + d**5 + 4*d**4 + 2*d**3 = 0.
-3, -1, 0
Let i(k) = -k**2 + 12*k - 15. Let o(h) = -2*h**2 + 23*h - 29. Let g = 2 + -8. Let b be (g + 0)*(2 - 1). Let r(c) = b*o(c) + 11*i(c). Factor r(j).
(j - 3)**2
Let c(h) = -3*h**2 - 8*h. Let s(u) = -3*u**2 - 9*u. Let p(v) = -3*c(v) + 2*s(v). Factor p(j).
3*j*(j + 2)
Let c be ((-680)/32)/(-5) + (0 - 4). Let -1/2*u - 1/4*u**2 - c = 0. Calculate u.
-1
Let v(l) = -l + 1. Let z(y) = -y**2 - 2*y + 19. Let x(f) = -3*v(f) + z(f). Let h be x(0). Factor 3*r**4 - 3*r**3 - 2*r**4 - r + h*r**2 - 13*r**2.
r*(r - 1)**3
Let p be 57/11 - (-8)/(-44). Suppose -p*i + 2 + 6 = -2*x, 0 = -i - 4*x + 6. Factor -2/5*v**3 + 0 + 0*v + 2/5*v**i.
-2*v**2*(v - 1)/5
Let i(u) be the first derivative of u**7/2100 - u**6/450 - u**5/300 + u**4/30 - u**3/3 + 4. Let f(z) be the third derivative of i(z). Factor f(q).
2*(q - 2)*(q - 1)*(q + 1)/5
Let i(k) be the second derivative of -k**8/10080 + k**6/360 - k**5/90 - k**4/12 + k. Let u(z) be the third derivative of i(z). Solve u(r) = 0 for r.
-2, 1
Suppose 81*r**5 - 69*r**5 + 36*r**3 + 20*r**2 - 12*r**4 - 56*r**4 = 0. What is r?
-1/3, 0, 1, 5
Suppose -v = -j + 8, 1 = -3*j - 3*v - 5. Suppose j*r = 0, -2*h - r + 1 = -5. Factor -h*l**2 + 2*l**3 + 0 + 0 + l**2.
2*l**2*(l - 1)
Let y(m) be the first derivative of 3*m**4/4 - 3*m**3 + 3*m**2 - 31. Find v, given that y(v) = 0.
0, 1, 2
Let g(m) be the first derivative of m**6/39 - 8*m**5/65 + 3*m**4/13 - 8*m**3/39 + m**2/13 - 4. Factor g(p).
2*p*(p - 1)**4/13
Let -2*c**3 - 4*c**2 - 1 - 1/3*c**4 - 10/3*c = 0. Calculate c.
-3, -1
Let 9*i - 3*i**2 - 14*i + 4*i**4 + 0*i**3 + 5*i**3 - 1 = 0. Calculate i.
-1, -1/4, 1
Let q(h) be the first derivative of h**3 - 6*h**2 + 12*h + 3. Find k, given that q(k) = 0.
2
Let y(r) = -495*r**3 + 1275*r**2 - 480*r - 220. Let i(n) = 38*n**3 - 98*n**2 + 37*n + 17. Let v(w) = -40*i(w) - 3*y(w). Factor v(t).
-5*(t - 2)*(t - 1)*(7*t + 2)
Let g be (-16)/(-12)*(-6)/4. Let u be -10*2/8*g. Factor -2/5*m**2 + 0*m + 0 - 6/5*m**4 - 6/5*m**3 - 2/5*m**u.
-2*m**2*(m + 1)**3/5
Let n(a) = -3*a**4 + 12*a**3 + 9*a**2 - 12*a + 3. Let v(r) = -r**3 + r - 1. Let y(u) = n(u) + 9*v(u). Factor y(t).
-3*(t - 2)*(t - 1)*(t + 1)**2
Let u(q) be the first derivative of -q**4/2 + 2*q**3 + 20. What is s in u(s) = 0?
0, 3
Let c(b) be the first derivative of b**6/60 - b**4/12 + 3*b**2/2 + 3. Let x(y) be the second derivative of c(y). Factor x(n).
2*n*(n - 1)*(n + 1)
Let v = -15 - 7. Let c = 27 + v. Determine a so that -a**2 + 3/2*a**3 - 3/2*a**c + 0*a + a**4 + 0 = 0.
-1, 0, 2/3, 1
Let v(a) be the second derivative of 54*a**7/7 - 12*a**6/5 - 47*a**5/5 - 44*a**4/9 - 8*a**3/9 - 8*a. Let v(i) = 0. What is i?
-1/3, -2/9, 0, 1
Let y(s) be the third derivative of -s**7/42 + s**6/24 + s**5/4 - 5*s**4/24 - 5*s**3/3 + 16*s**2. Factor y(b).
-5*(b - 2)*(b - 1)*(b + 1)**2
Let c(r) be the third derivative of -r**8/420 - 2*r**7/175 - r**6/50 - r**5/75 - 6*r**2. Find p such that c(p) = 0.
-1, 0
Let i = -13 + 26. Let v(y) = -y + 4. Let p be v(2). Factor i - h**3 - 13 - h + 2*h**p.
-h*(h - 1)**2
Let k = 25 + -20. Suppose u - 6 = -3*g, k*u - 10 = 3*g + 2. Solve -2/7*z**u + 2/7*z + 2/7*z**2 - 2/7 = 0 for z.
-1, 1
Suppose 36*o**2 + 2*o**4 + 16*o**3 + 9 - 2 + 32*o + 0 + 3 = 0. What is o?
-5, -1
Let w(v) be the second derivative of -v**6/120 + v**5/40 + 7*v**4/48 + v**3/6 - 9*v. Solve w(i) = 0 for i.
-1, 0, 4
Suppose 5*q - 2*q - 18 = 0. Let i(w) be the first derivative of -1/24*w**q + 1/16*w**4 + 0*w + 0*w**2 - 1/12*w**3 + 3 + 1/20*w**5. Factor i(o).
-o**2*(o - 1)**2*(o + 1)/4
Let x = -1 + 3. Factor o - x*o**2 + o + 2*o - 2*o.
-2*o*(o - 1)
Let k = -14 - -9. Suppose 4*r + 15 = -r. Let j(h) = -7*h**2 + 4. Let d(c) = 13*c**2 + c - 7. Let y(z) = k*j(z) + r*d(z). Find t, given that y(t) = 0.
-1, 1/4
Factor -11/2*r**2 - 25/2 - 35/2*r - 1/2*r**3.
-(r + 1)*(r + 5)**2/2
Let o(x) be the second derivative of -x**7/840 + x**6/240 + x**5/20 + x**4/6 - 4*x. Let p(v) be the third derivative of o(v). Factor p(i).
-3*(i - 2)*(i + 1)
Suppose 2*c + 3 = 3*c + 3*p, 3*p - 3 = -5*c. Solve 0 + 2/5*y**4 - 2/5*y**2 + c*y**3 + 0*y = 0 for y.
-1, 0, 1
Let p(l) = 8*l**3 - 4*l**2 + 2*l + 6. Let y(u) = 7*u**3 - 4*u**2 + 2*u + 5. Let j be -6*(0/(-1) - -1). Let x(q) = j*y(q) + 5*p(q). What is d in x(d) = 0?
0, 1
Let t(n) = -2 - n**2 - 8*n + 3*n + 0. Let x be t(-3). Factor -6*k**2 + 2*k**4 + 3 + 6 + 5 - x*k**3 + 8*k - 6.
2*(k - 2)**2*(k + 1)**2
Let h(o) = o - 1. Let v be h(12). Suppose -5*r = -5*y - 10, -5*r - y + v - 1 = 0. Solve 3/2*l - 3/2*l**3 - 3/2 + 3/2*l**r = 0.
-1, 1
Suppose -5*x = h - 20, x + 2*h = 10 + 3. Factor 3*s + 1 + s**x - 3*s + 3*s**2 + 3*s.
(s + 1)**3
Let h be (-1 - (-62)/10) + 160/(-40). Factor 3/5*l**3 - h*l**2 + 3*l**5 + 0*l + 0 + 24/5*l**4.
3*l**2*(l + 1)**2*(5*l - 2)/5
What is p in 117*p**2 - 10*p**3 + 35*p**4 - 112*p**2 - 15*p**3 - 15*p**5 = 0?
0, 1/3, 1
Find i such that 35*i - 4*i**3 + 24 - 87*i - 16*i**2 + 48*i**2 = 0.
1, 6
Let y be (-1 + (-2)/(-5))/(75/(-50)). Factor -3/5*q - y - 1/5*q**2.
-(q + 1)*(q + 2)/5
Factor 4*p**5 - 2822*p**2 + 2822*p**2.
4*p**5
Let x(h) be the third derivative of h**5/100 + 3*h**4/20 + 9*h**3/10 + 9*h**2. Determine f, given that x(f) = 0.
-3
Let g(j) be the first derivative of j**4/2 + 8*j**3/3 + 5*j**2 + 4*j - 2. Factor g(c).
2*(c + 1)**2*(c + 2)
Let k(i) be the third derivative of 1/40*i**6 + 2/3*i**3 + 7*i**2 + 0*i + 11/60*i**5 + 0 + 1/2*i**4. Factor k(v).
(v + 1)*(v + 2)*(3*v + 2)
Let k = -11/9 - -23/9. Solve -1/3 + 2/3*v**5 + 2/3*v**3 - k*v**2 + 5/3*v**4 - 4/3*v = 0.
-1, -1/2, 1
Let y(s) be the first derivative of -3*s**2 + 0*s - 2/3*s**3 + 1 - s**4. Let x(n) = n**3 + n. Let t(d) = -6*x(d) - y(d). Factor t(a).
-2*a**2*(a - 1)
Suppose 2/11*b**2 - 4/11*b + 2/11 = 0. What is b?
1
Let d(w) = 7*w + 24. Let f be d(-3). Let i(x) be the third derivative of -4/3*x**f + 4*x**2 + 1/3*x**4 - 1/30*x**5 + 0 + 0*x. Factor i(c).
-2*(c - 2)**2
Let q(r) be the second derivative of -1/4*r**4 + 1/14*r**7 + 1/10*r**6 + 0*r**2 + 0*r**3 - 4*r + 0 - 3/20*r**5. Factor q(v).
3*v**2*(v - 1)*(v + 1)**2
Let y = 143/476 + -1/68. Solve -2/7*j**4 + 0*j + y*j**3 + 0 + 4/7*j**2 = 0 for j.
-1, 0, 2
What is n in 7*n**2 + 9*n**2 - 8*n - n**3 - n**4 - 6*n**2 = 0?
-4, 0, 1, 2
Let i(x) be the first derivative of -21*x**5/25 + 57*x**4/20 - 3*x**3 + 3*x**2/10 + 6*x/5 - 7. Let i(g) = 0. What is g?
-2/7, 1
Let h(r) be the first derivative of r**6/120 + 3*r**5/20 + 9*r**4/8 - 4*r**3/3 + 1. Let u(i) be the third derivative of h(i). Solve u(d) = 0.
-3
Factor 38/11*o - 6/11*o**2 - 12/11.
-2*(o - 6)*(3*o - 1)/11
Let q(s) be the second derivative of -s**8/160 + 9*s**7/560 - s**6/120 - s**3/2 + s. Let a(h) be the second derivative of q(h). Factor a(d).
-3*d**2*(d - 1)*(7*d - 2)/2
Determine z so that 0*z**3 + 0 - 4/9*z**4 + 4/9*z**2 + 0*z = 0.
-1, 0, 1
Let w(b) = 4*b**4 - 11*b**3