 2/9*n**4 = 0. Calculate n.
0, 1
Let n(f) be the first derivative of 1 - 3/4*f**4 + 0*f**2 + 3/10*f**5 + 0*f + 1/2*f**3. Solve n(g) = 0.
0, 1
Let a(g) = -g**3 + 2*g**2 + g. Let w(b) = 6*b**3 - 9*b**2 - 5*b + 1. Let j(s) = -11*a(s) - 2*w(s). Let n be j(-4). Factor -k - 1 + 0*k**n - 2*k**2 + 3*k + k**2.
-(k - 1)**2
Determine d, given that 16/3*d**2 + 4/3*d**3 + 20/3*d + 8/3 = 0.
-2, -1
Let w(f) = -f + 8. Let p be w(6). Let h be (-8 + -4)*2/(-6). Determine c, given that 0*c + c**h + 0*c**4 - c + c**3 - c**p = 0.
-1, 0, 1
Let f(g) = -11*g**2 - 9*g - 14. Let p(d) = d - 7*d - 9 + 4*d**2 - 11*d**2. Let u(z) = 5*f(z) - 8*p(z). Factor u(o).
(o + 1)*(o + 2)
Let f be 7*((-24)/14 + 2). Let v(l) be the first derivative of 14/15*l**3 + 2 + 3/10*l**4 + l**f + 2/5*l. Find t such that v(t) = 0.
-1, -1/3
Let c = 265 - 265. Factor 2/3*f**3 + 7/3*f**4 - 2/3*f + c - 7/3*f**2.
f*(f - 1)*(f + 1)*(7*f + 2)/3
Let h = -4 + 9. Let y = h + -3. Factor 0*i + 8 - 8*i + 4*i**2 - y*i**2.
2*(i - 2)**2
Let z = -10 + 13. Let -4 + 2 - 2*l**2 + z*l**2 - l = 0. What is l?
-1, 2
Let c(g) = g**3 - 4*g**2 - 5*g + 7. Let k be c(5). Suppose -3*w + k + 2 = 0. Let -1/5*p**w + 1/5*p + 0 + 0*p**2 = 0. Calculate p.
-1, 0, 1
Let b be (-23)/(-15) - 4/20. Factor -2/3 - 2/3*d**2 + b*d.
-2*(d - 1)**2/3
Let n = 11/2 + -5. Let g = -215/4 - -54. Let -1/4*m**2 - n*m - g = 0. Calculate m.
-1
Let b = 91/71 + 6281/639. Let c = b - 98/9. Factor 0*o - 2/9*o**2 + c.
-2*(o - 1)*(o + 1)/9
What is k in 6*k**2 + 3*k**5 - 3*k**3 - 3/2 - 9/2*k**4 + 0*k = 0?
-1, -1/2, 1
Let j be 1/(-30)*(-5)/4. Let r(t) be the second derivative of 1/12*t**3 + 2*t + j*t**4 - 1/2*t**2 + 0. Find m such that r(m) = 0.
-2, 1
Let i(o) be the third derivative of 0*o**5 + 1/80*o**6 - 1/96*o**4 + 0 + 1/448*o**8 + 0*o + 2*o**2 + 1/105*o**7 + 0*o**3. Factor i(j).
j*(j + 1)**3*(3*j - 1)/4
Determine k so that 0 + 0*k**2 - 2*k - 2*k**2 + 1 + 3*k**2 = 0.
1
Suppose 4/9*i + 2/9*i**4 - 2/3*i**2 + 0*i**3 + 0 = 0. What is i?
-2, 0, 1
Let r be (-23 - -23)*(0 + (1 - 0)). Let j(g) be the third derivative of r*g - 1/8*g**4 + 1/40*g**5 - 1/480*g**6 + 1/3*g**3 + 0 + 2*g**2. Factor j(k).
-(k - 2)**3/4
Factor 0 + 2/7*q**3 - 2/7*q + 0*q**2.
2*q*(q - 1)*(q + 1)/7
Suppose -4*t + 32 = -0*t. Let x(n) = t - 3 - n + 0*n + 5*n**2. Let w(m) = 4*m**2 - 2*m + 4. Let h(q) = -3*w(q) + 2*x(q). Let h(b) = 0. What is b?
1
Let l(a) = 3*a - 1. Let w be l(1). Find u such that -4*u**4 - u**5 + 3*u - 2*u**w + 4*u**4 - 2*u + 2*u**4 = 0.
-1, 0, 1
Suppose -102*s - 16 = -110*s. Find a, given that -2/5 - 6/5*a + 6/5*a**3 + 2/5*a**s = 0.
-1, -1/3, 1
Let m be (-3 - 7)*(-2)/4. Determine u so that -5 - 2*u + m + 2*u**2 = 0.
0, 1
Factor 9/2*l**3 + 1/2*l**5 - 7/2*l**2 + 0 - 5/2*l**4 + l.
l*(l - 2)*(l - 1)**3/2
Suppose 0 = -5*l - 2*a - 0*a - 32, 5*l - 4*a = -26. Let g = l - -9. Find m such that m + 2*m**3 - m**5 - g*m + m = 0.
-1, 0, 1
Let c(o) be the first derivative of 2*o**5/45 + o**4/9 + 2*o**3/27 - 26. Factor c(z).
2*z**2*(z + 1)**2/9
Suppose -6*c**3 + 1799*c**4 - 1804*c**4 + c**3 = 0. What is c?
-1, 0
Let w(n) be the second derivative of -3*n + 4/35*n**5 - 2/21*n**3 + 0 - 1/21*n**6 - 1/42*n**4 + 0*n**2. Factor w(k).
-2*k*(k - 1)**2*(5*k + 2)/7
Let j(b) be the first derivative of b**3/9 + b**2/6 - 2*b/3 - 14. Find u, given that j(u) = 0.
-2, 1
Let t(v) be the first derivative of -3/2*v**2 + v - 3/8*v**4 + 6 + 13/12*v**3 + 1/20*v**5. Let t(i) = 0. What is i?
1, 2
Let y(m) = -7*m**5 - m**4 + 9*m**3 - m**2 + 8*m. Let t(f) = -13*f**5 - 2*f**4 + 17*f**3 - f**2 + 15*f. Let q(r) = -6*t(r) + 11*y(r). Factor q(g).
g*(g - 2)*(g + 1)**3
Let i(t) = 3*t**3 - t**2 + t - 1. Let f be i(1). Let s = -2 + f. Let s*g - 1/2*g**2 + 1/2 = 0. Calculate g.
-1, 1
Let q(s) be the third derivative of 0 + 0*s + 0*s**3 - 1/180*s**5 + 1/360*s**6 - 4*s**2 + 0*s**4. Factor q(m).
m**2*(m - 1)/3
Let b(s) be the third derivative of -s**5/150 + s**4/20 - 8*s**2. Factor b(z).
-2*z*(z - 3)/5
Let o(g) = g**2 + 14*g. Let u be o(-12). Let j be (3/u)/((-2)/8). Factor j*p**5 + 0*p + 0 + p**4 + 0*p**2 + 1/2*p**3.
p**3*(p + 1)**2/2
Let s(y) = y**3 + y**2. Suppose -4*c = -c + 3*i + 18, -7 = -3*c + 2*i. Let x(p) = 2*p**4 + 10*p**3 + 6*p**2 - 4*p - 2. Let g(j) = c*x(j) + 6*s(j). Factor g(q).
-2*(q - 1)*(q + 1)**3
Factor 0 - q - 1/2*q**2.
-q*(q + 2)/2
Let p(m) = 42*m + 213. Let z be p(-5). Solve -180*k**2 - 10*k**4 - 270*k - 2/3*k**5 - 162 - 60*k**z = 0 for k.
-3
Let f = -614/3 + 206. Factor -2/3*k**3 - 4/3 + f*k**2 + 2/3*k.
-2*(k - 2)*(k - 1)*(k + 1)/3
Factor 4*y + 8/3 + 4*y**3 - 32/3*y**2.
4*(y - 2)*(y - 1)*(3*y + 1)/3
Let s(y) be the first derivative of 0*y + 0*y**3 + 0*y**4 + 3 - y**2 + 1/180*y**5. Let l(b) be the second derivative of s(b). Determine w so that l(w) = 0.
0
Let i(v) = v**2 + 2*v + 1. Let c be i(-1). Suppose c*x - 25 = -5*x. Factor 3*k**2 + 2*k**4 + k**x - k - 5*k**2 + 0*k.
k*(k - 1)*(k + 1)**3
Let y(p) = p + 3. Suppose a - q = -2*a - 4, 3*a - 4*q = -7. Let f be y(a). Factor -2/3*n**3 - f*n + 2/3 + 2*n**2.
-2*(n - 1)**3/3
Find p such that -5*p**3 + 5 - 5 + 4*p + 4*p**2 + 6*p**3 = 0.
-2, 0
Factor q**2 + 4*q**2 - 12*q - 3 - 12*q**3 - 3*q**4 - 23*q**2.
-3*(q + 1)**4
Let j(r) be the third derivative of -r**6/18 - 23*r**5/45 - 5*r**4/9 + 16*r**3/9 - 2*r**2. Factor j(z).
-4*(z + 1)*(z + 4)*(5*z - 2)/3
Let g(x) be the third derivative of x**6/30 - 2*x**5/15 + x**4/6 + 16*x**2. Suppose g(b) = 0. Calculate b.
0, 1
Let j(v) be the third derivative of v**6/180 + v**5/180 - v**4/36 - v**3/18 + 4*v**2. Factor j(d).
(d - 1)*(d + 1)*(2*d + 1)/3
Let l(k) be the second derivative of -k**4/3 - 2*k**3 - 4*k**2 - 46*k. Factor l(i).
-4*(i + 1)*(i + 2)
Let i be ((-85)/20)/((-1)/(-4)). Let u be 4 + 8/36*i. Factor u*k**3 + 0 - 4/9*k**2 + 2/9*k.
2*k*(k - 1)**2/9
Let p be 5 + (28/(-8) - 1). Let j(k) be the first derivative of p*k + 2 - 7/20*k**5 + 9/16*k**4 - 9/8*k**2 + 5/12*k**3. Let j(c) = 0. What is c?
-1, 2/7, 1
Let s(w) = -83*w**4 + 313*w**3 - 443*w**2 + 227*w - 27. Let t(n) = 41*n**4 - 156*n**3 + 221*n**2 - 114*n + 14. Let z(b) = 6*s(b) + 13*t(b). Factor z(v).
5*(v - 2)*(v - 1)**2*(7*v - 2)
Let s(f) be the first derivative of -f**4/16 + f**3/4 - f**2/4 - 9. Factor s(g).
-g*(g - 2)*(g - 1)/4
Let x(v) be the third derivative of 3*v**6/70 - 4*v**5/5 - 59*v**4/42 - 20*v**3/21 + 15*v**2. Let x(c) = 0. What is c?
-1/3, 10
Let g = -6 - -11. Factor -n**2 - 3 + 12 - 6 - 3*n - g.
-(n + 1)*(n + 2)
Factor -1/5 - 2/5*d**3 + 0*d**2 + 1/5*d**4 + 2/5*d.
(d - 1)**3*(d + 1)/5
Let m(k) = 2*k**3 - 2*k + 4. Let s(t) = -5*t**3 + 2*t**2 - 1. Let u be s(1). Let f(a) = -a**3 + a - 3. Let o(y) = u*f(y) - 3*m(y). Find d such that o(d) = 0.
-1, 0, 1
Determine d, given that 0 - 1/3*d**4 - 1/3*d**3 + 0*d + 1/3*d**5 + 1/3*d**2 = 0.
-1, 0, 1
Let w(v) be the second derivative of 3/4*v**4 - 1/20*v**5 - 3*v - 9/2*v**3 + 0 + 27/2*v**2. Suppose w(k) = 0. Calculate k.
3
Let r = 4 + 0. Let b = r - 2. What is t in -2/7*t**b + 0 - 2/7*t = 0?
-1, 0
Determine y, given that 69*y - 5*y**2 + 65*y - 15 - 154*y = 0.
-3, -1
Let s(v) be the second derivative of -v**5/150 - v**4/60 + 2*v**3/15 + v**2/2 - 5*v. Let l(i) be the first derivative of s(i). Determine f so that l(f) = 0.
-2, 1
Let p(i) be the first derivative of i**2/2 + 4*i - 3. Let j be p(-4). Suppose -2/7*r**3 + 2/7*r**5 + 0 + j*r**4 + 0*r**2 + 0*r = 0. What is r?
-1, 0, 1
Factor 0 - 1/4*i**3 + 0*i - 1/4*i**2.
-i**2*(i + 1)/4
Let p(w) be the third derivative of -w**7/560 - w**6/80 - w**5/40 - 5*w**2. Let p(j) = 0. What is j?
-2, 0
Let h(s) be the second derivative of -s**4/4 - 9*s**3/2 - 243*s**2/8 + 50*s. Determine j so that h(j) = 0.
-9/2
Let d be (-33)/(-9) - (-2)/3. Let -23/3*y**4 + 7/3*y**5 - d*y**2 + 9*y**3 + 0 + 2/3*y = 0. Calculate y.
0, 2/7, 1
Let r = 13 - 9. Factor 13*q**3 + 2*q**r - 9*q**2 - q**3 - 6*q**2 - 6*q + 7*q**4.
3*q*(q - 1)*(q + 2)*(3*q + 1)
Let m(d) = d**3 + 3*d**2. Let q(w) = -w**3 - 6*w**2 - 7*w - 5. Let p be q(-5). Let t(x) = x**3 + 4*x**2. Let v(z) = p*m(z) - 4*t(z). Solve v(u) = 0 for u.
0, 1
Let i = -679 - -1359/2. Factor 0*l + 0*l**2 - i*l**5 - 1/2*l**3 + 0 + l**4.
-l**3*(l - 1)**2/2
Suppose -4*a - 5*p - 3 = -21, 2*a + p = 6. Let n = -1 + a. Solve -2*h**4 + 8*h - 16*h**2 - n + 1 + 10*h**3 = 0 for h.
0, 1, 2
Let v(i) be the second derivative of 0 - 2*i**3 + 9*i**2 + 1/6*i**4 + 8*i. Find w suc