8*n**3/3 + 2*n**2. Factor a(g).
-2*(g - 2)**3
Let u(l) be the first derivative of 3/2*l**2 - 8 - 2/9*l**3 - 4/3*l. Let u(o) = 0. Calculate o.
1/2, 4
Let n(i) be the first derivative of -2*i**5/55 + 2*i**3/33 + 21. Factor n(k).
-2*k**2*(k - 1)*(k + 1)/11
Let i(g) be the first derivative of 0*g**3 + 1/22*g**4 + 2 + 0*g + 0*g**2 + 4/55*g**5 + 1/33*g**6. Find f, given that i(f) = 0.
-1, 0
Find m such that 2*m + 0*m - m**4 + 3 - 5 + 3 - 2*m**3 = 0.
-1, 1
Let w(k) = 9*k**2 - 3*k - 30*k**3 + 2 + 25*k**3 + 0*k. Let n(l) = l**3 - l**2 - l. Let v(s) = -3*n(s) - w(s). Suppose v(i) = 0. Calculate i.
1
Determine s, given that -9/5*s**2 + 3/5*s**3 + 9/5*s - 3/5 = 0.
1
Let p(o) be the third derivative of -5*o**9/4536 - o**8/840 + o**7/630 + o**3/3 + o**2. Let s(h) be the first derivative of p(h). Solve s(n) = 0.
-1, 0, 2/5
Suppose 30 = -4*s - 2*b, 4*b - 2*b = -2. Let z(g) = -g**3 - 7*g**2 - g - 5. Let y be z(s). Factor y*j**3 + 2/3*j + 0 + 2/3*j**4 + 2*j**2.
2*j*(j + 1)**3/3
Let j be (-85)/(-40) - (17/8 + -2). Factor 3/4*w**j + 12 + 6*w.
3*(w + 4)**2/4
Let l(p) be the first derivative of -p**5/10 + p**3/3 - p/2 - 8. Suppose l(d) = 0. What is d?
-1, 1
Determine t, given that -152/7*t - 164/7*t**2 - 6*t**3 + 16/7 = 0.
-2, 2/21
Let r(l) be the first derivative of -l**4 + 4*l**3 - 6*l**2 + 4*l - 12. Determine m so that r(m) = 0.
1
Let k be (-186)/45 - (-1)/3. Let o = 7/10 - k. Factor -3*r - 3/2*r**3 + 0 + o*r**2.
-3*r*(r - 2)*(r - 1)/2
Suppose 3*n + y = 55, 5*y = -4*n + 3*n + 37. Let s = n - 67/4. Suppose 1/4*c**3 + 0 - 1/2*c - s*c**2 = 0. What is c?
-1, 0, 2
Factor 9/4 - 3*x + 3/4*x**2.
3*(x - 3)*(x - 1)/4
Let i(y) = -y - 3. Let n be i(-3). Find z such that n*z**2 + 2*z**2 + 1 - 3 = 0.
-1, 1
Factor t**4 + 12*t**3 + t**4 + 8*t + 15*t**3 - 33*t**3.
2*t*(t - 2)**2*(t + 1)
Let g(r) = -r**3 - 23*r**2 - 29*r - 13. Let q(b) = 24*b**2 + 28*b + 12. Let u(z) = -4*g(z) - 3*q(z). What is c in u(c) = 0?
-2, -1
Let g(h) be the first derivative of 5*h**8/336 + 4*h**7/105 + h**6/120 - h**5/30 + h**2 + 2. Let m(c) be the second derivative of g(c). Factor m(i).
i**2*(i + 1)**2*(5*i - 2)
Determine t so that 30/7*t - 75/7 - 3/7*t**2 = 0.
5
Let o = -113 + 263. Let v = 1052/7 - o. Factor 0 + 8/7*r**5 + v*r**3 + 0*r**2 + 0*r + 8/7*r**4.
2*r**3*(2*r + 1)**2/7
Let z(x) = 4*x**3 + 5*x**2 - 22*x + 13. Let c(b) = b**3 + 2*b**2 - 7*b + 4. Let y = 2 + -4. Let i(j) = y*z(j) + 7*c(j). Solve i(r) = 0.
1, 2
Let -3/4*y**4 + 9/4*y**3 - 3/2*y**2 + 0 + 0*y = 0. What is y?
0, 1, 2
Let m(b) be the second derivative of 0 - 1/15*b**6 - 3/2*b**4 - 7/3*b**3 + 4*b - 1/2*b**5 - 2*b**2. Let m(u) = 0. What is u?
-2, -1
Let m(w) = -w - 14. Let b be m(-11). Let j(f) = -f - 1. Let p be j(b). Find u such that 3/2*u**4 + 0*u + 5/2*u**3 + 0 + u**p = 0.
-1, -2/3, 0
Let z(r) = -4*r**2 - 17*r - 4. Let k(x) = -x**2 - 2*x - 2. Let q be k(-2). Let b(j) = -j**2 - 4*j - 1. Let f(d) = q*z(d) + 9*b(d). Factor f(a).
-(a + 1)**2
Factor 12/7*a**2 - 16/7 + 16/7*a - 16/7*a**3 + 4/7*a**4.
4*(a - 2)**2*(a - 1)*(a + 1)/7
Let t(n) be the third derivative of -n**7/840 - n**6/360 + n**3/3 + 3*n**2. Let l(r) be the first derivative of t(r). Determine o so that l(o) = 0.
-1, 0
Let s(o) = -3*o**2 - 2*o**2 - 6 + 5*o + 3*o**2 + 3*o**2. Let b be s(-6). Find l such that -2/9*l**5 + 0 + 2/9*l**2 - 2/9*l**4 + b*l + 2/9*l**3 = 0.
-1, 0, 1
Let w(j) be the first derivative of 0*j**3 + 0*j**2 + 1/30*j**5 - 2*j - 2 - 1/18*j**4. Let o(k) be the first derivative of w(k). Factor o(f).
2*f**2*(f - 1)/3
Suppose 2*d = -9*d + 4*d. Find b, given that d - 3/2*b - 3/2*b**2 = 0.
-1, 0
Let p be ((-2)/15)/(1*2/(-10)). Factor -1/3*j**2 + j - p.
-(j - 2)*(j - 1)/3
Let a = 19/6 - 55/18. Let t(o) be the first derivative of 1/3*o**2 + a*o**3 + 1/3*o - 2. Factor t(i).
(i + 1)**2/3
Let p(k) be the third derivative of k**8/26880 - k**7/5040 + k**6/2880 + k**4/8 + 2*k**2. Let g(j) be the second derivative of p(j). Factor g(i).
i*(i - 1)**2/4
Let j(q) be the first derivative of -q**9/12096 + q**8/6720 + q**3/3 + 4. Let z(c) be the third derivative of j(c). Factor z(d).
-d**4*(d - 1)/4
Let q(z) be the first derivative of -z**6/240 + z**2/2 + 4. Let u(y) be the second derivative of q(y). Find h, given that u(h) = 0.
0
Let p(v) be the first derivative of -5*v**6/6 - 2*v**5 - 5*v**4/4 + 4. Suppose p(o) = 0. Calculate o.
-1, 0
Let p = -15/49 + 173/245. Factor 4/5*b + 0 + 2/5*b**2 - 4/5*b**3 - p*b**4.
-2*b*(b - 1)*(b + 1)*(b + 2)/5
Determine l, given that -68/7*l**4 + 8/7*l + 0 + 12*l**3 + 20/7*l**5 - 44/7*l**2 = 0.
0, 2/5, 1
Suppose -6*j + 13 = 1. Factor 1 - 1/2*h - 1/2*h**j.
-(h - 1)*(h + 2)/2
Let w(s) = s. Let u(i) be the second derivative of 11*i**4/12 - 7*i**3/6 - i**2 - 3*i. Let z(t) = -3*u(t) + 6*w(t). Factor z(q).
-3*(q - 1)*(11*q + 2)
Let f(l) = 5*l**3 - l**2 + 3*l + 7. Let p(w) = -3*w**3 + w**2 - 2*w - 4. Suppose x = -x - 2*b, 0 = -2*b - 8. Let y(i) = x*f(i) + 7*p(i). Factor y(r).
-r*(r - 2)*(r - 1)
Let r(t) be the first derivative of -t**9/1008 - t**8/280 - t**7/280 + t**3 - 1. Let x(k) be the third derivative of r(k). Suppose x(l) = 0. Calculate l.
-1, 0
Let g(k) be the first derivative of k**3 - 6*k**2 + 12*k + 5. Factor g(m).
3*(m - 2)**2
Suppose -40 = 5*b - 3*a, b - 15 = 2*b - 2*a. Let z(u) = 2*u**2 + 2*u + 4. Let k(h) = 2*h**2 + 3*h + 5. Let t(s) = b*z(s) + 4*k(s). Factor t(o).
-2*o*(o - 1)
Let x(n) = n**2 + 2. Let u be x(0). What is l in -2*l**u - 2*l**4 + 3*l**5 + 9*l**5 + 0*l**4 - 8*l**3 = 0?
-1/2, -1/3, 0, 1
Let t = 1353/10 + -135. Let m(y) be the second derivative of 1/42*y**7 + t*y**5 + 2*y + 1/6*y**3 + 0 - 1/3*y**4 + 0*y**2 - 2/15*y**6. What is x in m(x) = 0?
0, 1
Solve 2/5*i - 1/5*i**4 + 11/5*i**2 + 0 + 12/5*i**3 - 4/5*i**5 = 0.
-1, -1/4, 0, 2
Suppose -s + 3*b + 25 - 6 = 0, -4*b - 32 = -2*s. Let x be 45/s*4/9. What is g in 0*g - g**x - 1/2*g**3 + 0 = 0?
-2, 0
Let k(p) be the first derivative of -4*p**5/5 + 3*p**4 + 16*p**3/3 + 9. Factor k(f).
-4*f**2*(f - 4)*(f + 1)
Let g be -3 + 44/(-48)*-4. Factor -g*r**2 + 0*r + 0 - 2/3*r**3.
-2*r**2*(r + 1)/3
Let d be 0/(1 + 1 - 3). Let q(z) be the second derivative of -2/135*z**6 + 1/63*z**7 - 2*z + 1/27*z**4 + 0*z**3 + 0*z**2 + d - 1/30*z**5. Solve q(r) = 0.
-1, 0, 2/3, 1
Let x(y) = -y**2 + y + 2. Let j be x(0). Factor 3*k**3 - 5*k**3 - 8 + 2*k**4 + 7*k**4 - 24*k + 2*k**5 - 22*k**j - 3*k**4.
2*(k - 2)*(k + 1)**3*(k + 2)
Let s be (3 - (4 + -3)) + 1. Solve 7/2*z**s - 1/2*z + 0 - z**2 - 2*z**4 = 0 for z.
-1/4, 0, 1
Let d(g) be the first derivative of g**3 + g**2/3 - 7. Solve d(n) = 0.
-2/9, 0
Find x, given that 49*x**2 - 46*x**2 + 5*x - 14*x = 0.
0, 3
Let j(u) be the first derivative of 0*u**2 - 4 - 1/12*u**3 - 1/12*u**4 - 2*u - 1/40*u**5. Let b(p) be the first derivative of j(p). Factor b(c).
-c*(c + 1)**2/2
Let l(r) be the third derivative of 1/33*r**3 + 1/660*r**6 + 0 + 3*r**2 + 0*r - 1/132*r**4 - 1/330*r**5. Factor l(u).
2*(u - 1)**2*(u + 1)/11
Let i be (-1)/(-3) + (-2)/((-126)/123). Suppose -i - 8/7*n - 1/7*n**2 = 0. What is n?
-4
Let p(x) be the first derivative of -2/3*x**2 - 2/9*x**3 + 0*x + 1/6*x**4 - 1. Let p(v) = 0. What is v?
-1, 0, 2
Let g(i) = -7*i**3 + 23*i**2 - 53*i + 32. Let k(c) = c**3 - c**2 + c. Let o(y) = 2*g(y) + 10*k(y). Factor o(m).
-4*(m - 4)**2*(m - 1)
Let y be (2 - (-1 - -4)) + 3. Let m be (-34)/(-36) + (-1)/y. Solve 0 + 0*s + m*s**3 + 2/9*s**4 + 2/9*s**2 = 0 for s.
-1, 0
Let s be (-6)/(-4)*(440/30)/11. Let 4/3*n - 1/3 + 4/3*n**3 - 1/3*n**4 - 2*n**s = 0. Calculate n.
1
Let k(c) be the third derivative of 5*c**8/1008 - c**7/63 - c**6/72 + c**5/18 - 14*c**2. Determine x, given that k(x) = 0.
-1, 0, 1, 2
Factor -4*g**2 + 2*g**3 + 0*g**2 - 4*g**2 + 4*g**2.
2*g**2*(g - 2)
Let d = 158 - 155. Solve 1/4*x + 0 + 0*x**2 - 1/4*x**d = 0 for x.
-1, 0, 1
Let l be ((-60)/270)/((-2)/6). Let z(s) be the second derivative of 0 + l*s**3 - 1/12*s**4 - s - 2*s**2. Let z(g) = 0. What is g?
2
Let t(d) = -6 + 16*d - 23*d - d**2 + 13*d. Let m be t(4). Factor 4*g + 6 + 2/3*g**m.
2*(g + 3)**2/3
Factor -7 - 5832*v**3 - 900*v**4 - 1287*v**4 - 41 - 3240*v**2 - 672*v.
-3*(v + 2)*(9*v + 2)**3
Let o = -2/3051 + 36626/21357. Let -o*y**3 - 2/7*y**5 + 0 - 8/7*y**4 - 8/7*y**2 - 2/7*y = 0. What is y?
-1, 0
Let a(s) be the third derivative of s**7/210 - s**6/120 - s**5/60 + s**4/24 + 13*s**2. Factor a(n).
n*(n - 1)**2*(n + 