-3*k**3 + 4*k**3 - 5*k**n + 4*k**2 = 0.
0, 1
Let p be (-9 + 6)/((-6)/10). Factor 0*h**2 - 1 - 2*h**2 - p*h - 3*h**3 - 5*h**2.
-(h + 1)**2*(3*h + 1)
Let q(l) be the third derivative of -l**6/360 + l**5/90 - l**4/72 + 15*l**2. Let q(x) = 0. What is x?
0, 1
Let l(s) = -s**2 - 7*s + 4. Let w be l(-7). Let y(a) be the first derivative of 1/24*a**6 - 1/5*a**5 + 3/8*a**w - 1/3*a**3 + 1/8*a**2 + 0*a + 3. Factor y(r).
r*(r - 1)**4/4
Let z be (4 + -3 + 0)*3. Factor -3*q**z - 3*q**4 - 5*q**2 + 3*q + 6*q**4 + 2*q**2.
3*q*(q - 1)**2*(q + 1)
Suppose 4*l - 3*l = 3*m - 1, 5*l = -3*m + 13. Let d = 1 - m. Determine u, given that d + 1/3*u - 1/3*u**2 = 0.
0, 1
Factor -1/5*k**4 + 0*k**2 + 0 + 0*k + 0*k**3.
-k**4/5
Let a be (-96)/(-50) - (-124)/1550. Determine j so that 3/4*j**a + 15/4*j**3 - 3/4*j + 9/4*j**4 + 0 = 0.
-1, 0, 1/3
Let n be (56/(-35) - (-3 + 1))*10. Let -18/5*u**2 + 0 - 2*u**n - 24/5*u**3 - 4/5*u = 0. Calculate u.
-1, -2/5, 0
Let s(v) = v**3 + 3*v**2 + 1. Let f(o) = -o**3 - 2*o**2 + o. Let u be 4/(-12)*-3*2. Let n(j) = u*s(j) + 3*f(j). Solve n(t) = 0 for t.
-1, 2
Suppose -5*j + 12 = -j. Find l such that -10*l**3 + 8*l**j - 31*l**3 + 4*l**2 + 2*l**2 + 48*l**4 - 21*l**5 = 0.
0, 2/7, 1
Let q(x) be the first derivative of -x**8/2520 + x**7/630 - x**5/90 + x**4/36 + 2*x**3/3 - 2. Let j(a) be the third derivative of q(a). Factor j(l).
-2*(l - 1)**3*(l + 1)/3
Let z be (-2)/4*(1 - 3/3). What is n in z + 3/4*n + 3/4*n**2 = 0?
-1, 0
Factor 1/3*o - 1/3*o**3 + 2/3*o**2 - 2/3.
-(o - 2)*(o - 1)*(o + 1)/3
Let h(j) be the third derivative of -1/15*j**6 + 1/42*j**7 + 0 - 2/5*j**5 + 8/3*j**3 + 0*j + 4/3*j**4 + 5*j**2. Factor h(x).
(x - 2)**2*(x + 2)*(5*x + 2)
Let f be (-16)/(-14)*(-42)/(-12). Let u(z) be the first derivative of z - 1/10*z**5 + 5/4*z**2 - 1/8*z**f + 1/2*z**3 + 3. Find m such that u(m) = 0.
-1, 2
Factor 0 + 8/3*f**2 + f**3 + 4/3*f.
f*(f + 2)*(3*f + 2)/3
Let u(g) be the second derivative of 1/5*g**2 + 1/30*g**3 - 1/30*g**4 + 0 - 1/100*g**5 - 8*g. Factor u(z).
-(z - 1)*(z + 1)*(z + 2)/5
Let d be (-574)/126 + (5 - 0)*1. Determine m so that 2/9 + 2/9*m**2 + d*m = 0.
-1
Let m(t) be the first derivative of 3*t**4/20 - 3*t**3/5 - 27*t**2/10 - 3*t + 6. Factor m(a).
3*(a - 5)*(a + 1)**2/5
Suppose 4*i = c - 19, -4*i - 6 = 2*c + 4. Factor 3*g**4 - 1/3*g + 7/3*g**2 + 0 - 5*g**c.
g*(g - 1)*(3*g - 1)**2/3
Let r be (-5176)/15 + 2/3. Let a = r + 346. Factor 0 - 154/5*i**4 - a*i**2 + 0*i + 64/5*i**3 + 98/5*i**5.
2*i**2*(i - 1)*(7*i - 2)**2/5
Let p(c) be the second derivative of c**5/15 - c**4/9 - 2*c**3/9 + 2*c**2/3 - 6*c. Suppose p(f) = 0. Calculate f.
-1, 1
Let o(f) be the first derivative of -9/5*f**4 + 52/15*f**3 + 2/5*f + 9/5*f**6 - 9/5*f**2 + 3 - 54/25*f**5. Let o(a) = 0. What is a?
-1, 1/3, 1
Let y(i) = i + 1. Let u(l) = -4*l**3 + 2*l**2 - 2. Let o(c) = 2*c**2 - 3*c. Let a be o(2). Let f(m) = a*y(m) + u(m). Factor f(p).
-2*p*(p - 1)*(2*p + 1)
Suppose 4*o - o = -36. Let u be (3/(-63))/(2/o). Factor -u + 4/7*w - 2/7*w**2.
-2*(w - 1)**2/7
Let w = -1 + 5. Factor -10*p**2 - p - 2*p**w + 10*p - 5*p + 8*p**3.
-2*p*(p - 2)*(p - 1)**2
Let i(x) be the first derivative of -169*x**6/720 + 13*x**5/60 - x**4/12 - 2*x**3/3 - 2. Let l(u) be the third derivative of i(u). Factor l(v).
-(13*v - 2)**2/2
Let v be (1 + 14/(-10))*-5. Suppose 4*k + 2*c + 6 = 2*k, -v*k + c + 9 = 0. Solve 48/7*p**k + 16/7*p**3 + 64/7*p + 32/7 + 2/7*p**4 = 0.
-2
Let i(h) be the first derivative of -h**5/5 + 7*h**4/20 - 2*h**3/15 - 5. Factor i(f).
-f**2*(f - 1)*(5*f - 2)/5
Let w be (-20 + 19)*(0 - (0 + 0)). Factor w - 1/2*t**2 - t.
-t*(t + 2)/2
Solve -584 + 584 + 15*y**2 - 3*y**3 - 12*y = 0.
0, 1, 4
Factor 96/11*v**2 + 10/11*v**3 - 36/11 + 50/11*v.
2*(v + 1)*(v + 9)*(5*v - 2)/11
Let t(h) = -20*h**4 + 55*h**3 + 20*h**2 - 70*h - 15. Let f(z) = -3*z**4 + 8*z**3 + 3*z**2 - 10*z - 2. Let n(l) = 15*f(l) - 2*t(l). Solve n(a) = 0 for a.
-1, 0, 1, 2
Solve 0 + 6/11*h**3 - 6/11*h - 2/11*h**4 + 2/11*h**2 = 0.
-1, 0, 1, 3
Factor -4*h**2 - 312 - 8*h + 312.
-4*h*(h + 2)
Let d = 70 - 31. Find h, given that -9 - 10*h - d + 34*h - 3*h**2 = 0.
4
Let n be (7/((-140)/50))/(5/(-1)). Determine a so that 1/2*a**2 + n*a**3 + 0*a + 0 = 0.
-1, 0
Let g(m) be the third derivative of -m**6/1140 - m**5/190 - m**4/114 - 10*m**2. Factor g(z).
-2*z*(z + 1)*(z + 2)/19
Determine o, given that -2/7*o**2 + 0 - 3/7*o**3 + 0*o + 1/7*o**5 + 0*o**4 = 0.
-1, 0, 2
Find m, given that 5*m**4 - 216*m**2 + 4*m**3 - m**4 + 208*m**2 = 0.
-2, 0, 1
Suppose -f - 2*i = 2*f - 31, -f = -3*i - 3. Let y = 19/2 - f. Suppose -1/6*n**2 + 1/2*n**3 + 0*n - y*n**4 + 1/6*n**5 + 0 = 0. What is n?
0, 1
Determine j, given that 9*j**3 - 14*j - 17*j**2 - 4*j - 8*j**2 + 4*j**2 = 0.
-2/3, 0, 3
Let d(j) = 2*j - 6. Let s be d(4). Factor -v**3 + s*v + v**3 - 2*v**3.
-2*v*(v - 1)*(v + 1)
Let c(v) be the first derivative of -8 + 2*v**2 + 0*v - 16/3*v**3 + 3*v**4. Determine n, given that c(n) = 0.
0, 1/3, 1
Let z(x) = 3*x + 2. Suppose -n = 2*n + 3, 0 = 3*p + 5*n - 61. Let y(h) = -h**2 - 16*h - 11. Let g(d) = p*z(d) + 4*y(d). Find t such that g(t) = 0.
0, 1/2
Let f(p) = p**2 - p. Let q(v) = -2*v**2 - v - 3. Let a(z) = 3*z**2 + z + 4. Let g(w) = 3*a(w) + 4*q(w). Let b(c) = -2*f(c) + 3*g(c). Factor b(x).
x*(x - 1)
Suppose 0 = h + 5*w - 25, -4*h = -3*w - 2*w. Let r(l) be the third derivative of 0*l + 1/108*l**4 + 2*l**2 + 0 + 0*l**3 + 0*l**h - 1/540*l**6. Factor r(m).
-2*m*(m - 1)*(m + 1)/9
Let t = -133/2 + 202/3. Factor t*i + 1/6*i**3 + 1/3 + 2/3*i**2.
(i + 1)**2*(i + 2)/6
Solve -1/11 - 3/11*i**2 + 3/11*i + 1/11*i**3 = 0.
1
Let x(l) be the third derivative of -l**5/300 - 5*l**2. Suppose x(u) = 0. What is u?
0
Let v(w) be the first derivative of w**6/42 + 6*w**5/35 + 3*w**4/7 + 10*w**3/21 + 3*w**2/14 + 21. Determine u, given that v(u) = 0.
-3, -1, 0
Factor -6 - 9*d + 13*d**3 + 6*d**4 - 3*d**2 + 3 + 0 - 4*d**3.
3*(d - 1)*(d + 1)**2*(2*d + 1)
Suppose 3*y - y = 44. Let f(g) = -g**2 + g. Let r(d) = 1 - 7*d**2 - 7*d**2 + 10*d + d**3 + 7*d**2 - 5*d**2. Let z(j) = y*f(j) - 2*r(j). Factor z(l).
-2*(l - 1)**2*(l + 1)
Let n(z) be the third derivative of z**10/529200 + z**9/211680 - z**5/60 + 2*z**2. Let w(h) be the third derivative of n(h). Determine j, given that w(j) = 0.
-1, 0
Find g such that 16*g**2 - 15*g**2 - 2*g - g = 0.
0, 3
Let y(z) be the third derivative of 5*z**8/2016 - z**7/63 + z**6/24 - z**5/18 + 5*z**4/144 + 13*z**2. Suppose y(w) = 0. What is w?
0, 1
Let x(g) be the second derivative of -1/10*g**2 + 1/100*g**5 + 0 + 6*g - 1/20*g**4 + 1/10*g**3. Solve x(t) = 0.
1
Suppose 0 = -v + 5*v - 8. Let q be (-6)/v + 10/2. Factor 12*c**2 - 15*c**q + 3*c**4 + 6*c**3 - 6*c**4.
-3*c**2*(c - 1)**2
Let j(q) be the second derivative of q**4/3 - 2*q**3/3 + 9*q. Factor j(l).
4*l*(l - 1)
Suppose m + 25 = 6*m. Find d, given that d**5 - 13*d**4 + 12*d**m + 8*d**5 + 5*d**4 - 4*d**3 = 0.
-2/7, 0, 2/3
Let l(w) = -7*w**2 + 10*w - 4. Let z(n) = n - 1. Let g be z(7). Let c(b) = 6*b**2 - 9*b + 4. Let a(p) = g*c(p) + 5*l(p). Let a(s) = 0. Calculate s.
2
Let o(v) be the third derivative of v**7/2100 - v**5/100 - v**4/30 - v**3/6 - v**2. Let c(m) be the first derivative of o(m). Factor c(n).
2*(n - 2)*(n + 1)**2/5
Let q be (-12)/30*-5*2. Factor -18/7*y**q - 32/7*y**3 - 10/7*y**2 + 4/7*y + 0.
-2*y*(y + 1)**2*(9*y - 2)/7
Suppose 7*w - 105 = 2*w. Let r be (-19)/(-7) + 6/w. Factor 4/5*h**2 + 2/5*h + 0 + 2/5*h**r.
2*h*(h + 1)**2/5
Let a = -1747/18 - -97. Let l = a - -5/9. Suppose l*c**2 - c + 1/2 = 0. Calculate c.
1
Let f = 893/28590 - -2/953. Let b(g) be the second derivative of 0 - f*g**6 + 0*g**2 + 2*g - 1/10*g**5 + 0*g**3 - 1/12*g**4. Factor b(a).
-a**2*(a + 1)**2
Let m(j) be the second derivative of -1/30*j**5 - 7/36*j**4 + 0 - 2/9*j**3 + 3*j + 2/3*j**2. Factor m(c).
-(c + 2)**2*(2*c - 1)/3
Let u be ((30/(-9))/10)/((-2)/96). Find s, given that 16/3 - u*s + 20/3*s**2 = 0.
2/5, 2
Let q = 6 + -23/4. What is i in -1/2 + q*i**2 - 1/4*i = 0?
-1, 2
Let z(c) be the first derivative of -3*c**4/4 - 3. Solve z(o) = 0 for o.
0
Let m(l) = l**2 + l. Let k(j) = -2*j**3 + 10*j**2 - 2*j + 2. Let s(w) = k(w) - 4*m(w). Factor s(z).
-2*(z - 1)**3
Let a = -8 + 1. Let s(g) = 8*g**2 + 3*g + 9. Let q(f) = 7*f**2 + 3*f + 8. Let y(b) = a*q(b) + 6*s(b). Solve y(r) = 0.
-2, -1
Let j(c) be the first derivative of -c**7/14 - 3*c**6/10 - 