.
-(l - 2)**2*(l + 1)*(l + 2)
Let b(m) be the third derivative of -2/33*m**3 + 2/165*m**5 + 1/220*m**6 + 0 + 0*m - 5/132*m**4 - 2*m**2. Factor b(z).
2*(z - 1)*(z + 2)*(3*z + 1)/11
Let l(z) = -46*z**3 + 5*z + 20 - 3 + 35*z**3 - 23*z**2. Let x(t) = -4*t**3 - 8*t**2 + 2*t + 6. Let y(j) = 6*l(j) - 17*x(j). Factor y(a).
2*a*(a - 2)*(a + 1)
Let f(w) = 2*w**2 - 3*w. Let g be f(2). Suppose -g = 2*x - 12. Let -5*a**3 - a**3 + 0*a**3 + x*a**3 = 0. Calculate a.
0
Find n, given that 3*n**3 - 4*n**2 - 12*n**3 + 13*n**3 + 8*n**4 = 0.
-1, 0, 1/2
Let o = 40 + -21. Suppose 20 = 4*j, 3*q + j = -j + o. Suppose -1/4*v**2 + 1/4*v - 1/4*v**q + 1/4 = 0. What is v?
-1, 1
Let u(l) be the third derivative of l**8/1008 - l**7/315 - l**6/360 + l**5/90 + 12*l**2. Factor u(p).
p**2*(p - 2)*(p - 1)*(p + 1)/3
Let i = -525 - -2101/4. Factor 1/2 - 1/4*t**2 + i*t.
-(t - 2)*(t + 1)/4
Let c = -53777/5 + 10686. Let w = -69 - c. Factor 4/5*m + 0*m**2 - 4/5*m**3 + 2/5 - w*m**4.
-2*(m - 1)*(m + 1)**3/5
Let u(f) = f**2 - 5*f + 4. Let l be u(4). Let i = l - -6. Factor 5*z**3 - 2*z - i*z**2 + 0*z**3 - 3*z**3 + 4 + 2*z**4.
2*(z - 1)**2*(z + 1)*(z + 2)
Let a(s) be the first derivative of 3/20*s**5 + 3/16*s**4 + 0*s**2 - 1 + 1/24*s**6 + 1/12*s**3 + 0*s. Factor a(o).
o**2*(o + 1)**3/4
Factor -25*c**2 + 6*c**3 - 2 + 429*c - 2 - 401*c.
(c - 2)**2*(6*c - 1)
Let a(p) = -p**2 - 5*p + 2. Let r be a(-5). Factor -t**2 + 3*t + t**2 - 3*t**r.
-3*t*(t - 1)
Let t = 1073/9 - 119. Factor t*g**5 - 8/9*g**4 + 4/9*g**2 + 8/9*g**3 + 4/9 - 10/9*g.
2*(g - 2)*(g - 1)**3*(g + 1)/9
Let x(f) = 2*f**2 + f + 2. Let t(a) = 2*a + 13*a**2 - 4*a**2 + 2 - 7*a**2. Let c(z) = 3*t(z) - 2*x(z). Factor c(v).
2*(v + 1)**2
Let u(r) = -14*r**5 - 6*r**4 - 16*r**3 + 10*r**2 + 10. Let o(n) = -n**5 + n**4 + n**2 + 1. Let y(b) = -10*o(b) + u(b). Suppose y(v) = 0. What is v?
-2, 0
Let v = -275 - -280. Find j such that 5/3*j**v + 10/3*j**2 - 3*j + 2/3 - 4*j**4 + 4/3*j**3 = 0.
-1, 2/5, 1
Suppose 3 = -3*r + 4*r. Factor 0 + 0*j**2 + 1/2*j**r - 1/2*j.
j*(j - 1)*(j + 1)/2
Let a(w) be the first derivative of w**6/30 - w**5/25 - w**4/20 + w**3/15 - 7. Factor a(p).
p**2*(p - 1)**2*(p + 1)/5
Let v = -4 + -3. Let g be (v/14)/(1*-1). Factor 0 - 1/2*n**3 - g*n + n**2.
-n*(n - 1)**2/2
Let s(b) be the third derivative of -b**9/362880 - b**5/15 + 5*b**2. Let o(a) be the third derivative of s(a). Factor o(p).
-p**3/6
Let h = -3 - -7. Factor -6*s**h - 2*s**3 + s - 7*s + 2*s - 14*s**2 - 14*s**3.
-2*s*(s + 1)**2*(3*s + 2)
Let i be ((-6)/4)/(5/(-40)). Suppose 0 = -0*a - 3*a + i. Factor 0 - 4/3*v**2 - 2/3*v - 8/3*v**a + 14/3*v**3.
-2*v*(v - 1)**2*(4*v + 1)/3
Let p(c) = c + 4. Let u be p(-6). Let j(w) = 16*w**2 - 43*w + 34. Let q(n) = -5*n**2 + 14*n - 11. Let a(l) = u*j(l) - 7*q(l). Suppose a(m) = 0. What is m?
1, 3
Let o(l) = 5*l**2 + 2*l - 3. Let a(m) = -14*m**2 - 6*m + 8. Let s(g) = 3*a(g) + 8*o(g). Factor s(d).
-2*d*(d + 1)
Let o(f) be the first derivative of f**6/30 - f**4/20 + 15. Solve o(z) = 0 for z.
-1, 0, 1
Let d be (-27)/180 + 4/10. Factor 1/2*u + 0 - d*u**2.
-u*(u - 2)/4
Let b(m) = 4*m**4 + 79*m**3 - 648*m**2 + 2599*m - 3888. Let q(h) = -3*h**4 - 53*h**3 + 432*h**2 - 1733*h + 2592. Let d(r) = -5*b(r) - 7*q(r). Factor d(o).
(o - 6)**4
Let g(f) be the second derivative of f**7/840 + f**6/360 + f**4/4 - f. Let r(y) be the third derivative of g(y). Factor r(j).
j*(3*j + 2)
Let n be (-1)/((-30)/(-8) - 4). Let u(b) be the second derivative of 1/3*b**3 + 2*b + 0*b**2 + 0 - 1/6*b**n. Solve u(d) = 0.
0, 1
Find s such that -2/5*s - 3/5*s**2 + 0 - 1/5*s**3 = 0.
-2, -1, 0
Let 336/5*m**3 + 72/5*m**2 - 6/5 - 27/5*m = 0. What is m?
-1/4, 2/7
Solve 3*f + 130*f + 40*f - 33*f - 980 - 5*f**2 = 0 for f.
14
Let c(a) be the first derivative of 3*a**5/5 - 2*a**3 + 3*a + 6. Find g such that c(g) = 0.
-1, 1
Let a(z) be the third derivative of 7*z**6/80 - 3*z**5/10 + 3*z**4/16 + z**3/2 + 9*z**2. Find d such that a(d) = 0.
-2/7, 1
Let 30*a**3 - 4*a**4 - 39*a**5 - 46*a**2 - 5*a**4 + 40*a**5 - 9 + 33*a = 0. Calculate a.
1, 3
Let z(t) be the second derivative of -3*t**5/40 - 23*t. Suppose z(j) = 0. Calculate j.
0
Factor -125 - j**2 - j**2 - 3*j**2 + 210*j - 160*j.
-5*(j - 5)**2
Factor 3*w**2 - 4*w**3 - 4 + 4*w - 7*w + 7*w + w**4.
(w - 2)**2*(w - 1)*(w + 1)
Let s be -1*0/((-5)/15*3). Factor -1/4*y**5 + 1/2*y**4 - 1/4*y**3 + 0 + 0*y**2 + s*y.
-y**3*(y - 1)**2/4
Let q(f) be the second derivative of f**5 - 2*f**4/3 - 10*f**3/3 + 4*f**2 - f. Determine y so that q(y) = 0.
-1, 2/5, 1
Let v(s) be the third derivative of s**5/570 - 5*s**4/228 - 2*s**3/19 + s**2 - 4. Solve v(n) = 0.
-1, 6
Let -1/3*x**2 + 0 + 1/3*x**3 + 1/9*x - 1/9*x**4 = 0. Calculate x.
0, 1
Let s(t) be the second derivative of 0*t**2 + 1/3*t**3 - 1/6*t**4 + 1/60*t**6 - 1/12*t**5 - t + 0. Let p(w) be the second derivative of s(w). Factor p(c).
2*(c - 2)*(3*c + 1)
Let k(q) = -6*q**5 + 2*q**4 + 2*q**3 - 2*q**2 - 4*q - 4. Let n(d) = -d**5 - d**4 + d**2 - d - 1. Let i(w) = k(w) - 4*n(w). Determine c, given that i(c) = 0.
-1, 0, 1, 3
Let x = 229/3 + -76. Let u(o) be the first derivative of 2 - x*o**3 + o - 1/4*o**4 + 1/2*o**2. Factor u(n).
-(n - 1)*(n + 1)**2
Let j(x) be the third derivative of -x**11/1663200 + x**5/30 + 7*x**2. Let o(v) be the third derivative of j(v). Determine n so that o(n) = 0.
0
Let r(m) be the first derivative of 0*m**3 - 1 - 2*m + 3/2*m**2 - 1/4*m**4. Factor r(k).
-(k - 1)**2*(k + 2)
Let o be (-14)/(-8) - (-6)/24. Factor -l**2 - 3*l**3 - l**2 + 4*l**o - l + 2*l**3.
-l*(l - 1)**2
Let l(c) = -6*c**2 - 6*c + 20. Let n(f) = -4*f**2 - 4*f + 13. Let h(x) = 5*l(x) - 8*n(x). Factor h(w).
2*(w - 1)*(w + 2)
Let b(i) be the third derivative of -i**6/165 + 7*i**5/330 - i**4/44 + 2*i**2 + 4*i. Solve b(z) = 0 for z.
0, 3/4, 1
Suppose x - 6 = -2. Factor -4*p**2 - 2 - 3*p + 4*p**3 + x*p**2 - 3*p**3.
(p - 2)*(p + 1)**2
Suppose -2*x + 2*d = 58, 11*d + 30 = -2*x + 6*d. Let b = x + 25. Solve -2/5*h**2 - 2/5*h**3 + 0 + b*h = 0 for h.
-1, 0
Let s(f) = -f**3 - 3*f**2 + 4*f + 5. Let n be s(-4). Let t be ((-80)/(-6))/n + -2. Solve 2*h - t - 2*h**2 + 2/3*h**3 = 0.
1
Let l(q) = -q**5 + q**4 - q**3 - q - 1. Let k(i) = 3*i**5 - 16*i**4 + 5*i**3 + 6*i**2 - 2*i - 2. Let r(d) = 3*k(d) - 6*l(d). Solve r(x) = 0.
-2/5, 0, 1, 3
Let g(n) be the second derivative of -9*n**6/200 + 3*n**5/50 - n**4/30 - n**3/2 - 5*n. Let r(a) be the second derivative of g(a). What is s in r(s) = 0?
2/9
Let v(u) = -2*u**2 + 8*u + 14. Let y(w) = w**2 - 1 + 3*w**2 - 5*w**2 + w - 2*w. Let b(f) = v(f) - 4*y(f). Solve b(r) = 0.
-3
Let k(y) be the second derivative of y**6/1080 - y**4/72 - y**3/3 + 3*y. Let i(a) be the second derivative of k(a). Factor i(l).
(l - 1)*(l + 1)/3
Solve 4 + 14*n**4 + 34*n**2 + 23*n**3 - 26*n - 30*n**3 + 20*n**2 - 39*n**3 = 0 for n.
2/7, 1
Suppose -4*x = 2*j - 8, -4*x + 3*j = -0*j - 28. Let t(a) be the second derivative of 0*a**2 - 2/3*a**3 - 7/6*a**x - 1/2*a**5 - a + 0. What is g in t(g) = 0?
-1, -2/5, 0
Let q = -318 - -320. Factor 0*h**4 + 0 + 0*h**q - 2/9*h**5 + 2/9*h**3 + 0*h.
-2*h**3*(h - 1)*(h + 1)/9
Let a = -1 - -5. Factor 3*s - 3*s**3 + a*s**3 - 4*s**3.
-3*s*(s - 1)*(s + 1)
Let h(o) = 4*o**4 + 11*o**3 + 3*o**2 - 5*o - 1. Let g(f) = 20*f**4 + 56*f**3 + 16*f**2 - 24*f - 4. Let n(i) = -3*g(i) + 16*h(i). Determine p so that n(p) = 0.
-1, 1
Let k(c) = -c + 15. Let t be k(9). Factor -4*u - t*u**2 + 4*u - 2*u**2 + 2*u**5 + 6*u**4.
2*u**2*(u - 1)*(u + 2)**2
Let q(u) be the second derivative of -5*u**4/18 + 7*u**3/9 - 2*u**2/3 + 5*u. Find a, given that q(a) = 0.
2/5, 1
Factor 1/2*m**2 + 0 + 0*m - 1/2*m**5 + 3/2*m**4 - 3/2*m**3.
-m**2*(m - 1)**3/2
Let l(k) = 3*k**2. Let y be l(1). Let q = 5 - y. Suppose 3*j**5 + 2*j**2 - 4*j**3 - 1 + 2*j - j**4 - q*j**5 + j**5 = 0. What is j?
-1, 1/2, 1
Let y = -83 + 85. Factor -8/5*w + 8/5*w**y - 2/5*w**3 + 0.
-2*w*(w - 2)**2/5
Let y = -690 + 41401/60. Let g(p) be the third derivative of 0*p**3 + 1/15*p**5 + p**2 + 0*p + 0 - y*p**6 - 1/12*p**4. Solve g(z) = 0 for z.
0, 1
Suppose 0 = -3*d + b - 2 + 7, -2*b - 4 = 0. Let g(w) be the first derivative of 0*w - d + w**2 + 2/3*w**3. Factor g(j).
2*j*(j + 1)
Let u = -3/34 - -35/204. Let l(f) be the third derivative of -1/24*f**4 + 0*f - u*f**3 - 2*f**2 + 0 + 1/40*f**5. Factor l(y).
(y - 1)*(3*y + 1)/2
Let a = -165 + 827/5. Suppose -2/5*o + a*o**2 + 0 = 0