n**2 - 2/7*n**4 - 4/7*n**3 + 0.
-2*n**2*(n + 1)**2/7
Let f(h) = 1 - 5 - 9*h**2 - 1 + 9*h**3 + 5*h. Let t(z) = 4*z**3 - 4*z**2 + 2*z - 2. Let y(i) = -2*f(i) + 5*t(i). Factor y(a).
2*a**2*(a - 1)
Let s(t) = t**4 - t**3. Suppose -6*c = -3*c - 9. Let j(b) be the second derivative of -b**7/21 - b**5/5 + b. Let a(l) = c*s(l) - j(l). Factor a(w).
w**3*(w + 1)*(2*w + 1)
Let b(i) be the second derivative of i**6/30 - i**5/20 - i**4/12 + i**3/6 - 7*i. Suppose b(v) = 0. Calculate v.
-1, 0, 1
Let k(p) be the third derivative of -3*p**2 + 0*p + 0*p**3 - 3/40*p**6 + 0*p**4 - 3/70*p**7 - 1/112*p**8 + 0 - 1/20*p**5. Factor k(j).
-3*j**2*(j + 1)**3
Let h(j) = j**2 + 6*j. Let b(z) = -z**3 - 7*z**2 + 9*z + 2. Let q be b(-8). Let x be h(q). What is t in 2/3*t**3 - 4/3*t**2 + x + 2/3*t = 0?
0, 1
Let t = 353/9 - 39. Factor t*p**2 + 2/9*p**4 - 4/9 - 2/3*p**3 + 2/3*p.
2*(p - 2)*(p - 1)**2*(p + 1)/9
Let v(g) be the second derivative of -1/8*g**4 + 0*g**2 - 1/2*g**3 + 3/40*g**5 + 2*g + 0. Factor v(l).
3*l*(l - 2)*(l + 1)/2
Let c(y) be the first derivative of y**5/420 + y**4/56 + y**3/21 + 3*y**2/2 + 5. Let g(m) be the second derivative of c(m). Suppose g(p) = 0. Calculate p.
-2, -1
Let w be (2 + -2)*1 - -2. Suppose 2*s - 5*y - 19 = 0, -4*y - y = 2*s + 11. Factor -q**w + 5*q**2 - 3*q**s - q.
q*(q - 1)
Let x(c) be the first derivative of -c**4/2 - 2*c**3/3 + c**2 + 2*c - 2. Let x(m) = 0. Calculate m.
-1, 1
Factor -12*h**2 - 27 + 63/2*h + 3/2*h**3.
3*(h - 3)**2*(h - 2)/2
Let h be ((-39)/(-26))/((9/(-4))/(-3)). Let u(w) be the third derivative of 0*w**3 - w**h + 0*w + 0 + 1/210*w**5 + 0*w**4. Solve u(i) = 0 for i.
0
Factor 1605*p**2 - p + 9*p - 1607*p**2.
-2*p*(p - 4)
Let j(a) be the third derivative of -1/60*a**4 - 2*a**2 + 0*a**6 + 0 + 0*a - 2/525*a**7 + 1/840*a**8 + 1/75*a**5 + 0*a**3. Suppose j(q) = 0. Calculate q.
-1, 0, 1
What is z in 0 - 11/7*z**2 - 4/7*z = 0?
-4/11, 0
Let c = 30/11 + -49/22. What is g in 1/6*g**3 + 0*g**2 - c*g - 1/3 = 0?
-1, 2
Let r be ((-2)/(-1))/(2/17). Suppose 4 + 16*z**3 + 5*z + r*z - 2*z**3 + 32*z**2 = 0. Calculate z.
-1, -2/7
Let g(h) be the second derivative of h**8/2520 - h**7/1260 + h**3/3 + 4*h. Let t(w) be the second derivative of g(w). Suppose t(z) = 0. What is z?
0, 1
Let r(u) be the second derivative of u**6/15 - 3*u**5/10 + u**4/3 - 3*u. Factor r(b).
2*b**2*(b - 2)*(b - 1)
Let c = 35/66 + -4/11. Suppose 3 = -b, -b - 3 = -7*o + 2*o. Factor o*z**2 - 1/3*z**3 + c*z + 0*z**4 + 1/6*z**5 + 0.
z*(z - 1)**2*(z + 1)**2/6
Factor 3/8*c**2 + 0 - 9/8*c.
3*c*(c - 3)/8
Let j = 12 - 7. Let f(o) = -5*o**5 - 2*o**3 - 5*o. Let n(z) = 6*z**5 + 3*z**3 + 6*z. Let c(w) = j*f(w) + 4*n(w). Suppose c(v) = 0. Calculate v.
-1, 0, 1
Let y(n) be the third derivative of n**5/20 + 3*n**4/4 - 3*n**3 + n**2. Let r(b) = b**2 + b - 1. Let z(v) = 6*r(v) - y(v). Suppose z(t) = 0. What is t?
2
Let f(y) be the first derivative of y**4/14 - 20*y**3/21 + 9*y**2/7 - 45. Factor f(z).
2*z*(z - 9)*(z - 1)/7
Let c(j) = -4*j**2 - 2*j - 1. Let s(l) = l**2 + 8*l + 9. Let m be s(-6). Suppose w - 3 + 2 = 0. Let k(y) = -y**2. Let o(x) = m*k(x) + w*c(x). Factor o(f).
-(f + 1)**2
Find v, given that 21 + 10 - 5*v**3 + 8 + 1 - 10*v - 25*v**2 = 0.
-4, -2, 1
What is t in -15*t**2 + 3*t**3 + 20 - 9*t - 6*t**3 + 7 + 0 = 0?
-3, 1
Let q(i) be the first derivative of 7/5*i**2 - 2/5*i**5 - 7/10*i**4 + 2/5*i**3 - 2 + 4/5*i. Determine h so that q(h) = 0.
-1, -2/5, 1
Let z = -17 + 15. Let x be ((-4)/7)/(1*z). Factor 0*c + 0 - x*c**2 + 2/7*c**4 + 0*c**3.
2*c**2*(c - 1)*(c + 1)/7
Suppose c + 2*h = -2 - 4, -c = 5*h + 18. Find p, given that 43*p + 16 + 5*p**2 - 4*p**c - 35*p = 0.
-4
Let u be 5/(-40) - (-106)/80. Let f be 10/4*(-36)/(-75). Factor 2/5*i**3 + f*i + 2/5 + u*i**2.
2*(i + 1)**3/5
Let l(i) be the third derivative of i**8/588 - 4*i**7/735 - i**6/30 - 4*i**5/105 + i**2 + 24. Factor l(x).
4*x**2*(x - 4)*(x + 1)**2/7
Let t be 0/(6/4*6/9). Let a(j) be the first derivative of -4/27*j**3 + 1 + t*j - 1/6*j**4 + 1/9*j**2. Factor a(m).
-2*m*(m + 1)*(3*m - 1)/9
Suppose 0*s - 6 = -2*s. Solve -4*w**4 + 0*w**s - 4*w**3 + 5*w**3 + 5*w**4 = 0.
-1, 0
Let h = 17 - 15. Factor 3*l**2 + 6*l**3 - 6*l**2 - 3*l**4 + 0*l**h.
-3*l**2*(l - 1)**2
Suppose -5*d - 2*g + 12 = 0, 5*d - g + 2 = 11. Solve -3/7*j**d - 12/7 - 12/7*j = 0.
-2
Let n(y) be the third derivative of y**6/6 + 2*y**5/3 + 25*y**4/24 + 5*y**3/6 + y**2. Suppose n(r) = 0. What is r?
-1, -1/2
Let i(z) be the first derivative of -z**5/40 + z**4/8 - z**3/6 + 2*z + 4. Let g(s) be the first derivative of i(s). Determine n so that g(n) = 0.
0, 1, 2
Suppose 2*k - k - 2 = 0. Let v(s) = 1 - 2 - 1 - 3*s**k - 1. Let q(u) = 4*u**2 + u + 4. Let c(f) = -6*q(f) - 7*v(f). Factor c(w).
-3*(w + 1)**2
Let -1/4*a**4 - 3/2*a**2 - a - 1/4 - a**3 = 0. What is a?
-1
Factor -15*z**5 + 19*z**5 + 60*z**3 + 52*z**2 + 17*z**4 + 11*z**4 + 16*z.
4*z*(z + 1)**3*(z + 4)
Let r = 4 - 4. Suppose 0 + r*m + 1/8*m**2 = 0. What is m?
0
Let o = -119/2 + 60. Let m(c) be the first derivative of -o*c**3 + 0*c**2 - 3/8*c**4 + 0*c - 1. Let m(f) = 0. Calculate f.
-1, 0
Let c(p) be the first derivative of 0*p + 4/5*p**5 - 3/2*p**4 - 1/2*p**2 + 4 + 4/3*p**3 - 1/6*p**6. Factor c(n).
-n*(n - 1)**4
Let q(m) = -4*m**5 + 4*m**3 + 6*m**2 + 6*m + 6. Let k(u) = 9*u**5 - 9*u**3 - 13*u**2 - 13*u - 13. Let o(a) = 6*k(a) + 13*q(a). Solve o(g) = 0 for g.
-1, 0, 1
Let k(f) be the second derivative of f**8/840 - f**7/210 + f**6/180 - f**3/6 - f. Let n(g) be the second derivative of k(g). Let n(a) = 0. Calculate a.
0, 1
Let s(g) = 18*g. Let l be s(-2). Let p = l - -145/4. Let 0*x - 1/4*x**3 + p*x**2 + 0 = 0. What is x?
0, 1
Let m = 153/130 + -15/26. Factor -6/5*x - 3/5 - m*x**2.
-3*(x + 1)**2/5
Let t(g) be the first derivative of -25*g**3/6 - 30*g**2 - 72*g - 1. Determine u so that t(u) = 0.
-12/5
Suppose 8 = -4*p + 2*w, 3*w + 2*w - 20 = 5*p. Factor -1/5*a**2 + 1/5*a + p.
-a*(a - 1)/5
Suppose -11*k + 12 - 9*k**2 + 26*k - 15*k - 3*k**3 = 0. Calculate k.
-2, 1
Let p(z) be the second derivative of -7*z - 5/147*z**7 + 0 + 1/10*z**5 - 1/35*z**6 + 0*z**2 - 2/21*z**3 + 1/14*z**4. Determine a so that p(a) = 0.
-1, 0, 2/5, 1
Suppose 36*l - 80*l + 40*l + l**2 = 0. Calculate l.
0, 4
Let d(s) = -2*s**3 + 12*s**2 - 84*s + 12. Let x(l) = l**2 + l - 1. Let v(r) = d(r) + 12*x(r). Factor v(i).
-2*i*(i - 6)**2
Factor -3 + 12*j**2 + 1 - 18*j**2 - 8*j.
-2*(j + 1)*(3*j + 1)
Let u = 11 - 9. Let l be (1 - 2) + 2/u. Factor l + 0*z - 2/7*z**3 + 0*z**2 - 2/7*z**4.
-2*z**3*(z + 1)/7
Let f = 502/265 + -5/53. Solve -9/5*i**2 + f*i**3 + 0 - 3/5*i**4 + 3/5*i = 0.
0, 1
Suppose 3*m - 4*m = -4. Let h be 0*(0 - (-1)/2). Factor 1/2*t + 1/2*t**5 - 2*t**m - 2*t**2 + h + 3*t**3.
t*(t - 1)**4/2
Let d(l) be the second derivative of l + 7/12*l**4 + 1/6*l**6 + 0*l**2 + 1/42*l**7 + 1/3*l**3 + 9/20*l**5 + 0. Factor d(m).
m*(m + 1)**3*(m + 2)
Let x(a) be the first derivative of 0*a**2 + 1/8*a**4 - 1/12*a**3 + 0*a - 1/20*a**5 + 2. Factor x(g).
-g**2*(g - 1)**2/4
Let i(p) be the second derivative of -p**7/42 - 7*p**6/60 - p**5/5 - p**4/12 + p**3/6 + p**2/4 + 8*p. Determine j so that i(j) = 0.
-1, 1/2
Suppose -4*j + 5*m = j + 5, -m + 9 = j. What is r in 3 + r**j + 2*r**4 + 0 - 4*r**2 - 2*r**2 = 0?
-1, 1
Let c(r) = -r + 5. Let w be c(5). Suppose -4*x + 3 + 9 = w. Factor -8/3 + 28*z + 343/3*z**x - 98*z**2.
(7*z - 2)**3/3
Let q(y) = 10 + y + 0*y - 3. Let z be q(-3). Factor -14/3*b**3 + 0 + 16/9*b**2 - 2/9*b + 4*b**z.
2*b*(2*b - 1)*(3*b - 1)**2/9
Factor -3*k**3 - 8 + 4 - 3 + 1 + 6*k**2 + 3*k.
-3*(k - 2)*(k - 1)*(k + 1)
Let v(m) = -2*m**2 + 8. Let z(g) = g**2 - 4. Let p(k) = 6*v(k) + 14*z(k). Factor p(s).
2*(s - 2)*(s + 2)
Let c(y) = 4*y**4 - 5*y**3 - 6*y**2 + 4*y + 1. Let g(p) = p**4 - p**3 - p**2 - 1. Let q(r) = c(r) - 3*g(r). Suppose q(s) = 0. Calculate s.
-1, 2
Suppose x + z = 13, 3*x + 5*z - 43 = -0*x. Let g(v) = 8*v**3 + 6*v**2 - 3*v - 11. Let y(k) = -3*k**3 - 2*k**2 + k + 4. Let a(q) = x*y(q) + 4*g(q). Factor a(b).
-b*(b - 1)**2
Let y = 64/3 - 21. Let z(f) be the second derivative of -f**2 + 1/6*f**4 - 2*f + 0 - 1/10*f**5 + y*f**3. Find x, given that z(x) = 0.
-1, 1
Let p(v) be the second derivative of v**6/345 - v**4/46 + 2*v**3/69 - 8*v. Factor p(x).
2*x*(x - 1)**2*(x + 2)/23
Let z(p) = 7*p**2 - 2*p + 6. Let b(t) = 4*t**2 - 2. Let x = -5 - -4. Let u(l) = l**2 - 