he first derivative of -2*i**3/3 - 11*i**2 + 28. Factor d(o).
-2*o*(o + 11)
Let t(x) = 3*x**3 + x**2 - x - 1. Let y(g) = -7*g**3 - 3*g**2 + 2*g + 3. Let z = 10 - 5. Let d(l) = z*t(l) + 2*y(l). Factor d(i).
(i - 1)**2*(i + 1)
Suppose 18 = 5*i - 2. Factor 0 - 5/3*v**3 - 4/3*v + 8/3*v**2 + 1/3*v**i.
v*(v - 2)**2*(v - 1)/3
Let f be 0 - -5 - (-4 - -6). Factor -n + 4*n**3 + 3*n**2 - n**2 - 5*n**f.
-n*(n - 1)**2
Factor 7*z**3 - 8*z**3 + 4*z**2 - z + 2*z**3 + 5*z.
z*(z + 2)**2
Let z(y) be the second derivative of -2/3*y**2 - 1/30*y**5 + 4*y + 1/9*y**4 + 0 + 1/9*y**3. Factor z(m).
-2*(m - 2)*(m - 1)*(m + 1)/3
Let t(d) = 25*d + 1. Let g be t(-7). Let f be g/(-15) - 2/(-5). Factor 4 - 5*n + f*n**4 - 4*n**4 - 6*n**2 - 5 + 4*n**3.
(n - 1)*(2*n + 1)**3
Let x(t) be the second derivative of -t**5/20 + t**3/6 - t. Find m, given that x(m) = 0.
-1, 0, 1
Let m be -2 + (352/(-86))/(-2). Let s = 92/129 - m. Factor -2/3*b**4 + 2/3*b**2 + s*b**5 + 0*b - 2/3*b**3 + 0.
2*b**2*(b - 1)**2*(b + 1)/3
Let k(b) = -3*b**4 + 5*b**3 + 13*b**2 - 5*b - 6. Let q(p) = 7*p**4 - 10*p**3 - 25*p**2 + 10*p + 11. Let v(z) = 7*k(z) + 4*q(z). Find m such that v(m) = 0.
-1, -2/7, 1
Let a = -129/8 - -1303/56. Factor -24/7*f + 60/7*f**3 + 22/7*f**2 - a*f**4 - 8/7.
-2*(f - 1)**2*(5*f + 2)**2/7
Let 0*t**2 + 0*t - 2/9*t**3 + 0 + 2/9*t**4 = 0. What is t?
0, 1
Let q(y) be the second derivative of y**7/14 - y**6/10 - 3*y**5/10 + y**4/2 + y**3/2 - 3*y**2/2 + 41*y. Let q(k) = 0. Calculate k.
-1, 1
Let o(a) be the third derivative of 0*a + 1/60*a**5 + 1/18*a**3 + 1/24*a**4 + 1/360*a**6 + 0 + 3*a**2. Let o(u) = 0. What is u?
-1
Let f(k) = 57*k**2 + 177*k + 120. Let v(q) = -7*q**2 - 22*q - 15. Let g(s) = -4*f(s) - 33*v(s). Factor g(a).
3*(a + 1)*(a + 5)
Let v(w) = -3*w**3 + 87*w**2 - 168*w + 84. Let g(u) = u**3 - 25*u**2 + 48*u - 24. Let p(k) = -18*g(k) - 5*v(k). Factor p(c).
-3*(c - 2)**2*(c - 1)
Let c(i) be the first derivative of -1/2*i + 1 - 1/6*i**3 + 1/5*i**5 - 1/4*i**4 - 1/24*i**6 + 5/8*i**2. Determine v, given that c(v) = 0.
-1, 1, 2
What is b in -3 - 5*b**2 + 2 + 15*b**2 + 6*b - 3 = 0?
-1, 2/5
Let m(g) = -4*g**3 - 5*g**2 + 5*g. Let t(x) be the second derivative of x**5/5 + x**4/2 - x**3 + 4*x. Let b(y) = 4*m(y) + 3*t(y). Factor b(d).
-2*d*(d + 1)*(2*d - 1)
Let p(t) be the first derivative of -t**5/240 + t**4/48 - t**3/24 + 2*t**2 - 2. Let i(h) be the second derivative of p(h). Let i(f) = 0. Calculate f.
1
Let u(t) = -t**3 - 2*t**2 + 1. Let k be u(-2). Let o(m) = m**2 - 1. Let r(x) = 6*x**2 - 2*x - 8. Let i(a) = k*r(a) - 4*o(a). Factor i(p).
2*(p - 2)*(p + 1)
Let z(r) be the third derivative of -r**5/210 + 3*r**3/7 + 20*r**2. Suppose z(a) = 0. Calculate a.
-3, 3
Let h = -4 - -8. Suppose 2*t = h*t. Determine a so that -2/3*a**3 - 1/3*a**2 - 1/3*a**4 + 0 + t*a = 0.
-1, 0
Let m = 5 + -9. Let h(j) = 4*j**3 - 10*j**2. Let o(f) = -70*f**3 + f**2 + 71*f**3 - 4*f**2. Let r(w) = m*h(w) + 14*o(w). Factor r(q).
-2*q**2*(q + 1)
Suppose -8*j + 2*j + 42 = 0. Factor 1 - 4*f**3 - 2 + 7*f**3 + j - 9*f.
3*(f - 1)**2*(f + 2)
What is l in 6*l**2 + l**2 + 12 - 5*l - 7*l - 4*l**2 = 0?
2
Let c be (-2)/1*(-147)/98. Factor -2/3*a**2 + 2/3*a**c + 0*a + 0.
2*a**2*(a - 1)/3
Let w = 3 - 3. Let x = w + 2. Solve 2/5*i**3 + 0 + 0*i**x - 2/5*i = 0 for i.
-1, 0, 1
Let c = 0 + -4. Let j be -13*c/(-20) - -3. Let 0 - 4/5*m**3 - 2/5*m**2 + 0*m - j*m**4 = 0. Calculate m.
-1, 0
Suppose -3*o + 5 = -13. Factor 7*p**2 - 2 + o - 2*p + 18*p.
(p + 2)*(7*p + 2)
Let i(w) = 3*w**2 + 9*w - 11. Let b(t) = t**2 + 3*t - 4. Let c(z) = -17*b(z) + 6*i(z). Solve c(d) = 0 for d.
-2, -1
Let w(t) be the second derivative of -t**10/120960 - t**9/30240 - t**8/26880 - t**4/12 - t. Let s(k) be the third derivative of w(k). Find l such that s(l) = 0.
-1, 0
Suppose -5*h = -9 - 11, -4*h - 9 = -5*r. Suppose -38 - 2 = -r*u. Factor -3*o + 8*o**2 + 3*o + u*o**3 + 2*o.
2*o*(2*o + 1)**2
Let h(c) = -c**3 - c. Let d(i) = -6*i**3 + i**2 - 5*i. Suppose 0 = -k - 2 + 9. Suppose 2*x - k = 3*t, t - 1 = -4. Let v(p) = x*d(p) + 5*h(p). Factor v(q).
q**2*(q - 1)
Suppose 6/13*y**3 + 16/13*y**2 + 0 + 8/13*y - 4/13*y**4 - 2/13*y**5 = 0. Calculate y.
-2, -1, 0, 2
Let p(j) be the first derivative of -j**7/210 - j**6/30 - j**5/10 - j**4/6 - j**3/6 + j**2/2 + 3. Let k(g) be the second derivative of p(g). Factor k(s).
-(s + 1)**4
Let a be 6/(4/(-1888)*-18). Let q = a + -156. Solve 0 + q*m**2 - 2/3*m**5 + 2/3*m - 4/3*m**4 + 0*m**3 = 0 for m.
-1, 0, 1
Let p(d) be the first derivative of -2*d**3/33 - 5*d**2/11 - 8*d/11 + 9. Factor p(b).
-2*(b + 1)*(b + 4)/11
Let i = -15 - -20. Factor i*t**3 + 7*t**2 + 2*t**3 + 4*t + 9*t**2.
t*(t + 2)*(7*t + 2)
Let o = 6 - 8. Let w be 0/(3 + (-4 - o)). Let -i**3 - 2*i**2 - i**3 + 4*i**3 + w*i**2 = 0. Calculate i.
0, 1
Let q be 4/(-5)*225/(-6). Suppose 4*o - 3*w + 2*w - 25 = 0, -q = -o + 5*w. Factor -2*y**4 + y**5 - 3*y**5 + 3*y**o.
y**4*(y - 2)
Let j = -13 + 16. Let a = -3 - -5. Find m, given that 4 - j*m**2 - 2*m - 3*m**2 + 2*m**3 + a*m**2 = 0.
-1, 1, 2
Let y(b) = b**3 + b**2 - b - 1. Let t(s) = -14*s**4 + 72*s**3 - 97*s**2 + 47*s - 13. Let q(f) = -2*t(f) + 10*y(f). Find i such that q(i) = 0.
2/7, 1/2, 2
Let t(h) = -h**4 + h**3 - h**2 - h - 1. Let m(o) = 4*o**4 + 2. Let b(p) = -m(p) - 2*t(p). Factor b(r).
-2*r*(r - 1)*(r + 1)**2
Let s(f) be the first derivative of f**4/3 + 4*f**3/3 + 2*f**2 + 4*f + 7. Let i(r) be the first derivative of s(r). Factor i(c).
4*(c + 1)**2
Let j(k) be the second derivative of -k**7/840 - k**6/240 + k**5/20 - k**4/2 - 6*k. Let o(g) be the third derivative of j(g). Factor o(u).
-3*(u - 1)*(u + 2)
Let c(a) be the first derivative of -25*a**6/12 + 3*a**5 + 11*a**4/8 - 2*a**3 - a**2 - 8. Let c(k) = 0. What is k?
-2/5, 0, 1
Let g(y) be the third derivative of -y**6/900 + y**5/450 + 19*y**2. Solve g(c) = 0 for c.
0, 1
Let p = -33/5 + 383/55. Determine k, given that -2/11*k**2 - 2/11*k + p = 0.
-2, 1
Let m(c) be the first derivative of 2*c**3/9 + 4*c**2/3 + 8*c/3 + 5. Factor m(v).
2*(v + 2)**2/3
Suppose u - 1 = h, 7*h = 4*u + 5*h - 6. Factor -2/3*v**3 - 2*v + 2/3 + u*v**2.
-2*(v - 1)**3/3
Let r be 1 + 3 + (5 - 7). Let t(i) be the first derivative of -2 + 1/5*i - 1/5*i**r + 1/15*i**3. Factor t(x).
(x - 1)**2/5
Let v(f) = 8*f**2 - 2*f + 5. Let y(x) = 9*x**2 - 3*x + 6. Let c(j) = 5*v(j) - 4*y(j). Let l(w) = -3*w**2 - 2*w - 1. Let p(k) = -2*c(k) - 3*l(k). Factor p(n).
(n + 1)**2
Let i(g) = g. Let v be i(4). Suppose -r = v*c - 16, 9 = 3*c - 3. What is k in 0 + r*k**2 + 1/2*k**3 - 1/2*k**5 + 0*k**4 + 0*k = 0?
-1, 0, 1
Let u(t) be the third derivative of 5*t**8/672 + 5*t**7/84 + 7*t**6/48 + t**5/8 + 35*t**2. Factor u(l).
5*l**2*(l + 1)**2*(l + 3)/2
Let q be 7 + (6/(-2) - 0). Factor -q*z**2 + z**5 + z**5 + 4*z**4 - 2*z + 0*z**5.
2*z*(z - 1)*(z + 1)**3
Let s = -6 - -8. Factor 1 + o**2 - 3*o**2 - s + o**2 - 2*o.
-(o + 1)**2
Factor 3*f + 5*f**2 + 3*f + 28*f**2.
3*f*(11*f + 2)
Factor 8/15 + 2/15*v**2 - 8/15*v.
2*(v - 2)**2/15
Suppose 14 = 5*l + 4. Let c = l + -2. Suppose 4*s + c*s**3 - 2*s**3 - 2*s = 0. What is s?
-1, 0, 1
Let q(a) be the second derivative of a**6/2 - a**5/2 - 5*a**4/3 + 5*a**3/3 + 5*a**2/2 - 8*a. Factor q(k).
5*(k - 1)**2*(k + 1)*(3*k + 1)
Let l(r) = -r**2 - 5*r + 8. Let h be l(-6). Let d be (9/(-45))/(2/(-35)). Find w, given that d*w**h + 0 - 7/2*w**4 - w + w**3 = 0.
-1, 0, 2/7, 1
Suppose 37 - 10 = -2*b + h, 1 = h. Let y(f) = 6*f**3 + 31*f**2 + 18*f - 7. Let k(m) = 3*m**3 + 15*m**2 + 9*m - 3. Let c(p) = b*k(p) + 6*y(p). Factor c(r).
-3*(r + 1)**3
Suppose -4*z - 2*t - 7 = -19, -z + 3 = 4*t. Factor 0*h**z + 0*h**2 + 1/4*h**4 + 0 - 1/4*h**5 + 0*h.
-h**4*(h - 1)/4
Factor -17/2*t + 3 + 8*t**2 - 5/2*t**3.
-(t - 1)**2*(5*t - 6)/2
Suppose 4/5 - 2/5*y - 2/5*y**2 = 0. What is y?
-2, 1
Let m = 32/45 + -14/45. Solve 2/5*i**3 + 0*i**2 + 0 - m*i = 0.
-1, 0, 1
Let f = -6 + 10. Let l = 6 - f. Factor 49/2*n**5 + 0 + 2*n + 63*n**4 + 109/2*n**3 + 18*n**l.
n*(n + 1)**2*(7*n + 2)**2/2
Factor 0 - 1/5*t + 1/5*t**3 - 1/5*t**2 + 1/5*t**4.
t*(t - 1)*(t + 1)**2/5
Let u(r) be the first derivative of 2/11*r - 2/11*r**2 + 4 + 2/33*r**3. Factor u(l).
2*(l - 1)**2/11
Let q(y) be the second derivative of -5*y**7/168 + 3*y**5/16 - 5*y**4/24 + 14*y. Solve q(j) = 0 for j.
-2, 0, 1
Let f(s) be the third derivative of s**9/9072 - s**8/1680 + s**7/840 - s**6/10