4*k**2 + 8/3*k**3 - 2/3.
-2*(k - 1)**4/3
Let m be ((-48)/(-10))/(13/(-455)). Let n be (70/m)/((-1)/4). Factor 3*k**2 + 1/3 - 7/3*k**3 - n*k + 2/3*k**4.
(k - 1)**3*(2*k - 1)/3
Suppose p + 4*s = -0 - 1, -3*s = 0. Let b = -1 - p. Suppose z**2 - 2*z + 4 + b*z - 3 = 0. Calculate z.
1
Let d be 130/60 - 2/12. Factor 2*c**2 - 4*c + c - c**d.
c*(c - 3)
Let n(b) be the third derivative of -b**5/60 + b**3/6 - 3*b**2. Determine q so that n(q) = 0.
-1, 1
Suppose -15/4*w - 3/2*w**2 - 2 + 1/4*w**3 = 0. Calculate w.
-1, 8
Let w be 21/(-3) + 585/81. Find y such that -4/9*y + w*y**2 + 2/9 = 0.
1
Solve 8/5*k + 19/5*k**2 + 7/5*k**3 - 4/5 = 0 for k.
-2, -1, 2/7
Let n(o) be the second derivative of o**6/10 - 33*o**5/80 + 9*o**4/16 - o**3/8 - 3*o**2/8 + 14*o. Determine s, given that n(s) = 0.
-1/4, 1
Factor 0*b**2 + 0 - 4/7*b**3 + 4/7*b.
-4*b*(b - 1)*(b + 1)/7
Let l(t) be the first derivative of -t**8/1512 + t**7/945 + t**6/540 - t**5/270 + 3*t**2 - 7. Let k(n) be the second derivative of l(n). Factor k(c).
-2*c**2*(c - 1)**2*(c + 1)/9
Let y be (2 + 15/(-6))*0. Let -q**4 + 2*q**3 + 0*q**4 + y*q**2 - q**2 = 0. Calculate q.
0, 1
Let d(a) be the first derivative of -5*a**4/4 + 15*a**2/2 + 10*a + 7. Factor d(r).
-5*(r - 2)*(r + 1)**2
Let u(o) be the second derivative of -1/2*o**4 + 0*o**5 + 0*o**2 - o + 0 + 1/15*o**6 + 2/3*o**3. Determine n, given that u(n) = 0.
-2, 0, 1
Let o = -3 - -11. Factor o*m**3 + 0*m**4 + 0 - 1 + 3*m**2 + 3*m**4 + 3*m**2.
(m + 1)**3*(3*m - 1)
Let a be (-795)/(-150) - 8/10. Let n(f) be the second derivative of -f**3 + 0 + 4*f + 14/5*f**5 - a*f**4 + 2*f**2. Let n(b) = 0. Calculate b.
-2/7, 1/4, 1
Suppose 6*w - 3*w = 6. Let r(l) be the second derivative of 0 + 0*l**w + 1/4*l**4 - 1/3*l**3 + l - 1/20*l**5. Factor r(p).
-p*(p - 2)*(p - 1)
Suppose 8 + 2*g**4 - 25*g**5 + 0*g**4 - 28*g - 10*g**2 + 9*g**4 + 9*g**4 + 71*g**3 = 0. What is g?
-1, 2/5, 2
Let g be 1 - 2/(2 + 0). Suppose 0 = -5*z - 2*f - 6, 4*f = z + 3*f - 3. Find j, given that 3*j**2 + g*j**2 + z*j**2 - 8*j + 4 = 0.
2/3, 2
Let h(a) = 2*a - 4. Let r be h(3). Let f = -7 - -11. Find s such that -4*s**f + 0*s - s**2 - s**2 + 6*s**4 - r*s + 2*s**3 = 0.
-1, 0, 1
Let w(z) be the third derivative of z**5/10 + z**4/24 - z**3/6 - 3*z**2. Let x(d) = -17*d**2 - 3*d + 3. Let p(r) = -11*w(r) - 4*x(r). Let p(f) = 0. What is f?
-1, 1/2
Factor -22*j + 2*j**3 - 4*j**3 - 4*j**2 + 28*j.
-2*j*(j - 1)*(j + 3)
Let t = 2686/3 - 895. Factor 4/3*d + 4/3*d**3 + t*d**4 + 2*d**2 + 1/3.
(d + 1)**4/3
Let j = -352 + 116. Let f be (-3 - j/84)*-3. What is s in 0 + f*s + 2/7*s**2 - 2/7*s**3 = 0?
-1, 0, 2
Let o(i) be the first derivative of 4*i**5/5 + 19*i**4/4 + 9*i**3 + 4*i**2 - 4*i - 69. Factor o(v).
(v + 1)*(v + 2)**2*(4*v - 1)
Let u(r) be the first derivative of 3/2*r + 0*r**2 - 1/2*r**3 - 5. Find s such that u(s) = 0.
-1, 1
Let u(j) be the third derivative of 11/240*j**6 + 1/48*j**4 - 6*j**2 + 0*j + 1/12*j**3 - 1/105*j**7 + 0 - 3/40*j**5. Let u(p) = 0. What is p?
-1/4, 1
Let l(i) be the second derivative of -i**4/60 + 4*i**3/15 + 31*i. Factor l(q).
-q*(q - 8)/5
Let m(i) be the third derivative of -i**10/64800 - i**9/20160 - i**8/30240 + i**5/20 + i**2. Let h(r) be the third derivative of m(r). Solve h(k) = 0.
-1, -2/7, 0
Let y be 48/27 + 4/18. Let b(a) be the third derivative of -1/30*a**5 - 2*a**y + 0*a**4 + 0*a + 1/105*a**7 + 0*a**6 + 0*a**3 + 0. Factor b(o).
2*o**2*(o - 1)*(o + 1)
Find p such that 3*p**4 - 3 + 17*p**3 - 15*p**3 + 6*p**2 + 2 + 6*p**3 = 0.
-1, 1/3
Let q = -1 + 5. Factor -6*x**4 + 12*x**2 - x**q - 3*x**5 - 2*x**4.
-3*x**2*(x - 1)*(x + 2)**2
Suppose k = 3*k - 3*n - 1, 0 = 3*k - n - 5. Determine a so that -1 + 8*a + 2 + 2 - a**k + 8*a**2 + 2*a**3 = 0.
-3/2, -1
Let o(m) be the first derivative of 27*m - 1 + 27/2*m**2 + 1/4*m**4 + 3*m**3. Factor o(v).
(v + 3)**3
Let o(w) be the first derivative of -w**6/21 - 3*w**5/35 + w**3/21 + 3. Factor o(n).
-n**2*(n + 1)**2*(2*n - 1)/7
Let g(r) = 2*r + 1. Let s be g(-2). Let f be 2 + ((-18)/(-5))/s. Factor -2/5*z**2 + 0 + f*z.
-2*z*(z - 2)/5
Let m(r) = -r**3 - 6*r**2 - 9*r - 2. Let v be m(-4). Let i = -4 - -9/2. Determine f, given that -i*f**v - 1/2*f + 0 = 0.
-1, 0
Let m = 1368 + -1364. Factor 0 + 3/2*d**2 + 1/2*d**m - 1/2*d - 3/2*d**3.
d*(d - 1)**3/2
Let r(b) be the second derivative of b**5/110 + b**4/66 - b**3/33 - b**2/11 + 3*b. Factor r(o).
2*(o - 1)*(o + 1)**2/11
Let r(v) be the first derivative of -v**5/10 + v**4/8 + v**3/2 - v**2/4 - v - 3. Factor r(h).
-(h - 2)*(h - 1)*(h + 1)**2/2
Let w(i) be the third derivative of i**7/3360 - i**6/720 + i**5/480 + i**3/2 + i**2. Let d(t) be the first derivative of w(t). Factor d(p).
p*(p - 1)**2/4
Let v(o) = o**3 - 6*o**2 - 4*o + 6. Let m(x) = -x**2 - x + 1. Let h(b) = -12*m(b) + 4*v(b). Factor h(l).
4*(l - 3)*(l - 1)*(l + 1)
Let f be 2/4*15/30. Factor 1/4*n + 1/4 - f*n**2 - 1/4*n**3.
-(n - 1)*(n + 1)**2/4
Let a(s) = -s**4 - 8*s**3 + 3*s**2 + 7*s - 1. Let b(l) = 3*l**4 + 16*l**3 - 6*l**2 - 14*l + 1. Let v(w) = 5*a(w) + 3*b(w). Factor v(c).
(c - 1)*(c + 2)*(2*c + 1)**2
What is g in 2/11*g**2 + 0 + 0*g + 2/11*g**3 = 0?
-1, 0
Factor -6/5*y**2 + 2/5*y**4 + 4/5*y**3 - 8/5*y + 8/5.
2*(y - 1)**2*(y + 2)**2/5
Let o(c) be the second derivative of 2*c**6/15 - 3*c**5/5 + c**4/3 + 2*c**3 - 4*c**2 - c. Find l such that o(l) = 0.
-1, 1, 2
Let u(d) be the second derivative of 5*d**4/12 + 115*d**3/3 + 2645*d**2/2 - 50*d. Factor u(s).
5*(s + 23)**2
Solve 6*o - 2*o**2 - 2*o**3 - 2*o**3 + 2*o**3 - 2*o = 0.
-2, 0, 1
Let r be -2 + 5 - (-3 - (-8)/2). Let x(s) be the third derivative of 1/120*s**6 + 0*s**3 + 0*s + 0*s**4 - r*s**2 - 1/60*s**5 + 0. Factor x(u).
u**2*(u - 1)
Factor -9*n**2 - 16 - 32*n + 29*n**2 + 8*n**3 - 8*n**2 - 8*n**2.
4*(n - 2)*(n + 2)*(2*n + 1)
Let a(c) = c + 1. Let o be a(3). Solve 0*f**4 - 2*f**2 - 2*f**3 + 2*f**5 - 7*f**o + 5*f**4 + 4*f**2 = 0.
-1, 0, 1
Let f(m) be the third derivative of -1/480*m**6 + 0*m + 1/240*m**5 - 1/840*m**7 + 0 + 1/96*m**4 + 7*m**2 + 0*m**3. Factor f(t).
-t*(t - 1)*(t + 1)**2/4
Let r(a) = -4*a**3 + 3*a**2 + 4*a + 4. Let v(p) = p**3 - p**2 - p - 1. Let h(t) = -2*r(t) - 7*v(t). Factor h(z).
(z - 1)*(z + 1)**2
Suppose 3*y - 48 = -y. Suppose 0 = 16*r - 13*r - y. Let 0*q**3 - 1/4*q**r + 1/4*q**2 + 0 + 0*q = 0. What is q?
-1, 0, 1
Let c(j) be the third derivative of j**8/252 - 2*j**6/45 + 2*j**5/45 + j**4/6 - 4*j**3/9 + 4*j**2. Solve c(r) = 0 for r.
-2, -1, 1
Let n(f) = -f**3 - 3*f**2 - f. Let i be n(-3). Let v be 2*i/(-12)*-3. Let 0 - v*d + 3/4*d**2 = 0. Calculate d.
0, 2
Let t(p) be the first derivative of -p**4/20 + p**2/10 - 6. Factor t(n).
-n*(n - 1)*(n + 1)/5
Let l = -70 + 70. Let j(y) be the third derivative of 0*y - 2/315*y**7 + 0*y**3 + 1/180*y**6 + y**2 + 0 + 1/504*y**8 + 0*y**5 + l*y**4. Factor j(r).
2*r**3*(r - 1)**2/3
Let b(k) = -10*k**2 - 20*k - 10. Let i(n) = -5*n**2 - 10*n - 5. Let l(o) = -4*b(o) + 9*i(o). Let l(z) = 0. Calculate z.
-1
Let v(r) = r**3 + 6*r**2 + 2*r + 9. Let y be v(-6). Let b be (y/(-24))/(3/12). Solve -b*d**3 + 1/2 + 1/2*d - 1/2*d**2 = 0.
-1, 1
Let f(c) be the second derivative of 0*c**2 + 0 + 2*c + 0*c**3 + 1/40*c**5 - 1/168*c**7 + 1/120*c**6 + 0*c**4. Find t, given that f(t) = 0.
-1, 0, 2
Let -2 - 13 + 9*n + 14*n - 5*n**2 - 3*n = 0. What is n?
1, 3
Let b(j) = j**3 + 2*j**2 - 7*j - 8. Let z be b(-3). Factor 2/3*p**3 - p**2 - 2/3*p + 0 + p**z.
p*(p - 1)*(p + 1)*(3*p + 2)/3
Let h(f) be the third derivative of 11/108*f**4 + 2/27*f**3 + 0 - f**2 - 1/216*f**8 - 1/135*f**6 + 7/135*f**5 - 16/945*f**7 + 0*f. Suppose h(p) = 0. What is p?
-1, -2/7, 1
Let w(a) be the second derivative of -a**5/140 + a**3/42 - 17*a. Factor w(z).
-z*(z - 1)*(z + 1)/7
Let t(l) = -l**3 + 5*l**2 + l + 1. Let i(b) = 2*b**3 - 5*b**2 - 2*b - 2. Let r(v) = 6*i(v) + 7*t(v). Factor r(g).
5*(g - 1)*(g + 1)**2
Let m(a) = -7*a**5 + 8*a**4 - 3*a**3 - 5*a**2 + a - 3. Let l(d) = -13*d**5 + 16*d**4 - 5*d**3 - 11*d**2 + 3*d - 5. Let h(n) = 3*l(n) - 5*m(n). Solve h(b) = 0.
-1, 0, 1
Factor -44/3*w**2 - 16/3*w**3 - 16*w - 6 - 2/3*w**4.
-2*(w + 1)**2*(w + 3)**2/3
Let j(u) be the second derivative of u**4/12 + u**3/3 + 7*u. Factor j(b).
b*(b + 2)
Let y(i) = -i**2 + 29*i + 6. Let m(p) = -p**2 - p + 1. Let s(v) = 6*m(v) - y(v). Suppose s(k) = 0. Calculate k.
-7, 0
Factor -x + 7/2*x**3 - 5/2*x**2 + 0.
x*(x - 1)*(7*x + 2)/