be ((-1)/(-3))/(4/w). Solve -3*g**2 + 2*g**3 + 2*g**u - 7*g**3 = 0.
-1, 0
Let j be 1 + ((-8)/(-3))/(-4). Factor 2/3*u - j - 1/3*u**2.
-(u - 1)**2/3
Let s = -35 - -39. Let r(k) be the second derivative of 0 + 2*k + 0*k**2 - 1/6*k**s - 2/15*k**6 + 0*k**3 + 9/20*k**5. Find i such that r(i) = 0.
0, 1/4, 2
Let t(g) be the first derivative of 2*g**7/63 - g**6/9 + 2*g**5/15 - g**4/18 - 2*g + 6. Let v(l) be the first derivative of t(l). Factor v(d).
2*d**2*(d - 1)**2*(2*d - 1)/3
Let a = -11/3 - -4. Solve -1/3*s**3 + a*s - 1/3 + 1/3*s**2 = 0 for s.
-1, 1
Let j be (-6)/33 - (-126)/(-33). Let m = 8 + j. Factor 0 + 1/3*f + f**2 + f**3 + 1/3*f**m.
f*(f + 1)**3/3
Let a(b) = -b**2 - 9*b + 12. Suppose 5*u - 5*z = -75, 7*u = 5*u - 5*z + 5. Let g be a(u). Factor -2/7 + 0*h + 2/7*h**g.
2*(h - 1)*(h + 1)/7
Let a(h) = h**3 + 5*h**2 - 4*h - 4. Let w(g) = -2*g - 2. Let v be w(-3). Let u(x) = -2*x**3 - 11*x**2 + 9*x + 9. Let y(i) = v*u(i) + 9*a(i). Factor y(r).
r**2*(r + 1)
Let j = 7 + -11. Let v be j + 3 + 3 + -2. Factor v*g**3 - 1/4*g**4 + 1/2*g**2 - 1/4 + 0*g.
-(g - 1)**2*(g + 1)**2/4
Let d(z) = 5*z**4 - 2*z**3 - 6*z**2 + 2*z + 7. Let k be (-2 + (1 - -2))/1. Let c(q) = -q**4 + q**2 - 1. Let n(s) = k*d(s) + 6*c(s). Solve n(g) = 0 for g.
-1, 1
Let f(t) = -t**3 - t**2 + t + 1. Let a(u) = 6*u**3 + 2*u**2 - 4*u - 4. Suppose d - 5 = 6*d. Let l(b) = d*a(b) - 4*f(b). Solve l(k) = 0 for k.
0, 1
Let n(p) be the third derivative of -p**6/720 + p**4/36 - 36*p**2. Factor n(o).
-o*(o - 2)*(o + 2)/6
Let c(s) = -21*s**2 - 6*s. Let g(h) = -7*h**2 - 2*h. Let u(t) = 2*c(t) - 7*g(t). Let a(m) = -8*m**2 - 2*m. Let q(o) = -6*a(o) - 7*u(o). Factor q(i).
-i*(i + 2)
Let u(c) be the first derivative of -c**4/4 - 2*c**3/3 - c**2/2 - 1. Factor u(s).
-s*(s + 1)**2
Suppose 5 = b + 2. Factor 3*h - 3*h**2 - 5 + 5 - 3*h**3 + b*h.
-3*h*(h - 1)*(h + 2)
Let q(s) be the third derivative of -s**7/1680 + s**6/240 - s**5/96 + s**4/96 - 18*s**2. Factor q(n).
-n*(n - 2)*(n - 1)**2/8
Let n(a) be the first derivative of a**6/10 - 9*a**5/25 - 3*a**4/20 + 11*a**3/5 - 18*a**2/5 + 12*a/5 - 8. Let n(b) = 0. Calculate b.
-2, 1, 2
Suppose -6/5*p**2 - 48/5*p + 0 = 0. What is p?
-8, 0
Let n(s) be the third derivative of -s**6/40 - s**5/10 + s**4/8 + s**3 - 12*s**2. Factor n(w).
-3*(w - 1)*(w + 1)*(w + 2)
Factor -24*j**3 + 31*j**2 - 4 + 15*j**4 + 18*j**4 + 77*j**3 + 7*j**5.
(j + 1)**3*(j + 2)*(7*j - 2)
Suppose -5*t + y + 5 = 0, -4*y = 3*t - 2*y + 10. Suppose 2/9*c**4 + t*c**2 + 0 + 2/3*c**3 - 8/9*c = 0. What is c?
-2, 0, 1
Let t(v) = 16*v**5 - 8*v**3 - 2*v**2 - 10*v - 10. Let b(u) = -5*u**5 + 3*u**3 + u**2 + 3*u + 3. Let a(m) = -10*b(m) - 3*t(m). What is w in a(w) = 0?
-1, 0, 2
Let x be 1/(-3) - (-92)/240. Let t(s) be the third derivative of 1/24*s**4 + 1/40*s**6 + 0*s**3 - x*s**5 + 0 - 3*s**2 - 1/210*s**7 + 0*s. Factor t(i).
-i*(i - 1)**3
Let v(a) be the first derivative of -8/9*a**3 - 3 - 2/3*a - 1/2*a**4 - 1/6*a**6 + 3/2*a**2 + 2/3*a**5. Let v(t) = 0. What is t?
-1, 1/3, 1, 2
Let i(o) = -o**3 + 10*o**2 + o - 10. Let x be i(10). Suppose -25*a + 18*a + 21 = 0. Factor 2/11*t**5 + 0*t + 2/11*t**4 + 0 + x*t**2 + 0*t**a.
2*t**4*(t + 1)/11
Let n(q) be the second derivative of q**4/12 - 7*q**3/6 + q**2/2 - 3*q. Let j be n(7). Factor -v**2 - 2*v + 2*v**2 + 0 + j.
(v - 1)**2
Solve -15*l - 5*l**3 + 5*l + 8*l + 7*l**2 = 0.
0, 2/5, 1
Let f(j) be the third derivative of -j**10/1209600 - j**9/120960 - j**8/40320 + j**5/30 - 8*j**2. Let g(y) be the third derivative of f(y). Factor g(m).
-m**2*(m + 2)**2/8
Let k = -3898/7 + 557. Find y such that -2/7*y + k*y**2 + 0 = 0.
0, 2
Let b(a) be the second derivative of a**5/60 - a**4/18 - a**3/18 + a**2/3 - 2*a. Solve b(l) = 0 for l.
-1, 1, 2
Find j, given that 36/5 - 147/5*j**3 + 357/5*j**2 + 48*j = 0.
-2/7, 3
Let h = -14 - -16. Suppose -5*i = -11 - 4. Let -h*d**4 + 4*d**4 - i*d**4 + d**2 = 0. Calculate d.
-1, 0, 1
Let l(r) be the first derivative of -r**7/630 + r**6/180 - r**4/36 + r**3/18 - r**2 + 3. Let k(b) be the second derivative of l(b). Let k(h) = 0. What is h?
-1, 1
Factor -l + 11*l - 29*l**2 + 24 + 24*l**2 - 9.
-5*(l - 3)*(l + 1)
Let q = -2/91 - -97/273. Let g(i) be the first derivative of 0*i - 1/2*i**2 + 2 - q*i**3. Factor g(h).
-h*(h + 1)
Factor -10 - 13*i**2 - 13*i**3 + 8*i**3 - 14*i**2 - 25*i + 7*i**2.
-5*(i + 1)**2*(i + 2)
Let o(j) be the second derivative of -j**7/8820 - j**4/4 + 4*j. Let g(r) be the third derivative of o(r). Factor g(q).
-2*q**2/7
Factor b**2 + b**3 - 4*b + 6*b - 4*b - 1 + b.
(b - 1)*(b + 1)**2
Let q(k) = k**3 - 12*k**2 - k + 14. Let b be q(12). Let d(a) be the first derivative of 0*a + 1/4*a**b + 1/6*a**3 + 2. Factor d(i).
i*(i + 1)/2
Let b(i) be the second derivative of i**6/6 - 13*i**5/20 + 3*i**4/4 + i**3/6 - i**2 + 4*i. Find y, given that b(y) = 0.
-2/5, 1
Let k(d) be the second derivative of -1/50*d**5 - 1/10*d**4 + 0 + 0*d**2 - d - 2/15*d**3. Factor k(q).
-2*q*(q + 1)*(q + 2)/5
Factor 4*n**3 - 12*n**4 + 6*n**3 + 5*n**2 + 3*n**2 - 2*n**3 + 4*n**5 + 4 - 12*n.
4*(n - 1)**4*(n + 1)
Suppose -f + 15 = 4*z, 4*z + f - 24 = -3*f. Factor 0 - 2/7*g**z - 2/7*g**5 + 0*g**2 + 4/7*g**4 + 0*g.
-2*g**3*(g - 1)**2/7
Determine t so that 12/23*t - 38/23*t**2 + 0 - 8/23*t**4 - 38/23*t**3 = 0.
-3, -2, 0, 1/4
Let n(s) be the second derivative of -s**6/180 - s**5/60 - s**3/3 - 2*s. Let f(k) be the second derivative of n(k). Determine t so that f(t) = 0.
-1, 0
Find j, given that 2/7*j + 2/21*j**2 + 0 = 0.
-3, 0
Let i = 265 - 260. Factor 0*u**2 + 4/9*u**3 + 2/9*u**4 + 0*u - 2/9*u**i + 0.
-2*u**3*(u - 2)*(u + 1)/9
Suppose 2*k + c = 16, -3*k - 3*c = -2*c - 26. Suppose 4*u = -u + k. Factor -32*x**4 - 48*x**3 - 2 + 12*x - 2 + 2 - 2*x**u.
-2*(x + 1)**2*(4*x - 1)**2
Factor -5/2*a**3 - 9*a**2 - 5 + 33/2*a.
-(a - 1)*(a + 5)*(5*a - 2)/2
Suppose 8/11*j**5 + 0*j + 2/11*j**2 - 8/11*j**3 - 2/11*j**4 + 0 = 0. Calculate j.
-1, 0, 1/4, 1
Let k be 4 + 5/((-20)/14). Find l such that -l**2 + k + 1/2*l = 0.
-1/2, 1
Let o(l) be the third derivative of -l**5/60 + 5*l**4/24 + 4*l**3/3 + 2*l**2. Let a be o(6). Find g, given that g**a - 2*g**2 + 3 - 4 + 2*g = 0.
1
Solve 2/9*h**2 + 8/9*h + 0 = 0.
-4, 0
Suppose -3*x = d - 14, d - 3*x + 10 = -0*d. Factor a + 23*a**d - 23*a**2 + 2*a**3 - 3*a.
2*a*(a - 1)*(a + 1)
Let a(n) be the first derivative of -n**3/18 - n**2/3 - n/2 - 13. Factor a(l).
-(l + 1)*(l + 3)/6
Let a(y) be the third derivative of -7*y**5/390 + 5*y**4/156 + 2*y**3/39 + 11*y**2. Factor a(d).
-2*(d - 1)*(7*d + 2)/13
Let w(o) be the first derivative of o**3/4 - 3*o**2/2 + 24. Factor w(u).
3*u*(u - 4)/4
Factor -6*n + 8*n**2 + 14*n**2 + n**2 - 22*n**2 + 9.
(n - 3)**2
Let z(j) = -j**2 + j. Let p(o) = 2*o**2 - o - 1. Let b(g) = -3*p(g) - 3*z(g). Factor b(n).
-3*(n - 1)*(n + 1)
Let a(t) be the third derivative of -t**2 + 0 + 1/210*t**5 - 1/210*t**6 + 0*t**3 + 1/42*t**4 - 1/735*t**7 + 0*t. Find w, given that a(w) = 0.
-2, -1, 0, 1
Let x(v) = -7*v**3 + 10*v**2 + v - 4. Let q(f) = -13*f**3 + 19*f**2 + f - 7. Suppose 0 = 3*g + 28 - 7. Let a(j) = g*x(j) + 4*q(j). Factor a(t).
-3*t*(t - 1)**2
Let m = 4 - 0. Factor -4*k - 2*k**2 + 10*k**5 + k**3 + 0*k**2 + 26*k**m + 17*k**3.
2*k*(k + 1)**3*(5*k - 2)
Let u(c) be the first derivative of 10*c**5/7 - 15*c**4/7 - 22*c**3/21 + 12*c**2/7 + 8*c/7 + 12. Factor u(h).
2*(h - 1)**2*(5*h + 2)**2/7
Let r(u) = -3*u**4 + u**3 + 9*u**2 - 4*u - 3. Let b(j) = -18*j**4 + 6*j**3 + 55*j**2 - 24*j - 17. Let m(n) = 6*b(n) - 34*r(n). Factor m(d).
-2*d*(d - 2)*(d + 2)*(3*d - 1)
Factor -r**4 - 24*r**3 - 18*r**3 + 47*r**3 + 5*r**2 - 5*r**5 - 4*r**4.
-5*r**2*(r - 1)*(r + 1)**2
Suppose -x = j - 3, -2*x + 4 = 12. Let w(r) be the second derivative of 0 - r - 1/40*r**5 - 1/24*r**j + 0*r**4 - 3/40*r**6 + 0*r**3 + 0*r**2. Factor w(v).
-v**3*(v + 1)*(7*v + 2)/4
Let j(n) = 4*n**3 - 8*n**2 + 8*n - 2. Let q(g) = 9*g**3 - 16*g**2 + 17*g - 5. Let b(w) = -5*j(w) + 2*q(w). Factor b(m).
-2*m*(m - 3)*(m - 1)
Let c(n) = -n**3 - 9*n**2 + 10*n + 1. Let v be c(-10). Let m be 2 + v/((-33)/(-84)). Factor -m*b**3 + 0 - 2/11*b - 20/11*b**2.
-2*b*(5*b + 1)**2/11
Let 8/5*u**5 + 12/5*u**3 + 0 + 0*u - 18/5*u**4 - 2/5*u**2 = 0. Calculate u.
0, 1/4, 1
Let s = 21 - 20. Let i be (-9)/72*(-5 - s). Factor 1/2 + 2*c**3 + c**4 - i*c**2 - 5/4*c.
(c + 1)*(c + 2)*(2*c - 1)**2/4
Let l be 12*((-4)/(-12) + 0). Let q(