(n).
-(n - 1)*(n + 1)**2
Suppose -4*r = -r. Factor 0*n**2 + r + 0 - n**2 + 1.
-(n - 1)*(n + 1)
Let t(d) = 4*d**4 + 2*d - 3. Let u(l) = 11*l**4 - l**3 + l**2 + 5*l - 8. Let n(h) = -8*t(h) + 3*u(h). Factor n(a).
a*(a - 1)**3
Let a = -30 + 31. Factor 4 + 7 + a + 12*w + 3*w**2.
3*(w + 2)**2
Let s(b) = b**3 - 9*b**2 - b + 5. Let o be s(9). Let g be ((-3)/27)/(1/o). Factor -2/9*h**2 - g - 2/3*h.
-2*(h + 1)*(h + 2)/9
Suppose 0 = 2*x + s - 2, 0 = -3*x - s + 3 + 1. Suppose -6*u = -x*u. Find i such that u + 2/3*i**2 + 0*i - 2/3*i**3 = 0.
0, 1
Let v = 6 - 4. Let d be v/((-4)/(-6)) - 1. Find f, given that 8*f**3 + d*f + 10*f**2 + 0*f + 0*f = 0.
-1, -1/4, 0
Let a(u) = u**2 - 6*u - 4. Let r be a(6). Let t = r + 9. Determine k, given that -5*k + 2 + 2*k - 5*k + t*k + k**2 = 0.
1, 2
Let s(i) be the second derivative of i**4/3 + 10*i**3/3 + 8*i**2 - 23*i. Find o such that s(o) = 0.
-4, -1
Let -4*f**2 + 2*f + 6*f - 3*f**2 - 3*f + f**4 - 5*f**3 + 6 = 0. What is f?
-1, 1, 6
Let m(q) be the second derivative of 3*q**6/25 + 6*q**5/25 - q**4/15 - 4*q**3/15 + q**2/5 - 3*q + 5. Solve m(u) = 0.
-1, 1/3
Let n(a) = a**2 - 5*a - 5. Let q be n(6). Let y be q*10/4 + 1. Factor y*v**2 + 0 + v.
v*(7*v + 2)/2
Let s(d) = -3*d**3 + 60*d**2 - 84*d + 45. Let t(v) = v**3 - 15*v**2 + 21*v - 11. Let z(b) = -2*s(b) - 9*t(b). Find n, given that z(n) = 0.
1, 3
Suppose -2*a + 6 = a. Find t, given that -2*t**2 + 2*t - a*t**2 - 4*t = 0.
-1/2, 0
Let a = 9 + -5. Suppose -a*k - 8 = -40. Suppose -1 - 8*l - 11*l**2 + 4*l**2 + k*l**3 - 8*l**2 + 16*l**4 = 0. Calculate l.
-1, -1/4, 1
Let y(m) = 2*m**3 - 15*m**2 + 13*m. Let z(q) = -2*q**3 + 14*q**2 - 12*q. Let v(n) = 4*y(n) + 5*z(n). Let v(x) = 0. Calculate x.
0, 1, 4
Let o = -2/25 - -7/25. Let s(k) be the second derivative of -o*k**4 - k + 4/15*k**3 + 0 - 1/5*k**2 + 2/25*k**5 - 1/75*k**6. Factor s(p).
-2*(p - 1)**4/5
Let m = 216/515 - 2/103. Solve 6/5*t**3 - 2/5*t**4 - 6/5*t - m*t**2 + 4/5 = 0.
-1, 1, 2
Let s be (-2*(-6)/(-80))/((-3)/12). Factor 9/5*l + 0*l**2 - s*l**3 - 6/5.
-3*(l - 1)**2*(l + 2)/5
Let r(y) = y**4 + y**3 + 3*y**2 - 3. Let n(j) = 2*j**4 + 3*j**3 + 7*j**2 - 7. Let s = -13 + 10. Let q(d) = s*n(d) + 7*r(d). Factor q(f).
f**3*(f - 2)
Let i be (-5 - 1)/((-15)/10). Factor 2*x**3 - 2 + 7*x**3 + 3 - x**2 - 5*x**3 - i*x.
(x - 1)*(x + 1)*(4*x - 1)
Determine c, given that -4/3 - 8/3*c + c**3 - 1/3*c**2 = 0.
-1, -2/3, 2
Let v(m) be the first derivative of 2*m**3/3 + 8*m**2 + 32*m + 10. Determine d, given that v(d) = 0.
-4
Let x(o) be the second derivative of o**5/70 - o**4/42 - 2*o**3/21 - o. Factor x(w).
2*w*(w - 2)*(w + 1)/7
Suppose 0 = 10*x - 5*x - 1675. Let r = x - 991/3. Factor -2*g**2 - r*g - 4/3.
-2*(g + 2)*(3*g + 1)/3
Let k be 45/(-5)*(-4)/18. Factor 0*y + 3/2*y**5 - 2*y**4 + 0 + y**k - 1/2*y**3.
y**2*(y - 1)**2*(3*y + 2)/2
Let d(z) = -z**2 + 9*z - 9. Let k be d(7). Let o = 0 + k. Solve x**4 - x**2 - x + 1/4*x**o + 3/4*x**3 + 0 = 0 for x.
-2, -1, 0, 1
Let u(r) be the third derivative of r**8/112 - r**7/14 + 3*r**6/40 + r**5/4 - r**4/2 - 4*r**2. Factor u(i).
3*i*(i - 4)*(i - 1)**2*(i + 1)
Let p(t) = -t**2 + 3*t + 6. Let m be p(4). Let w(o) be the first derivative of -1/2*o**4 + 1/5*o**5 + o**2 - o - m + 0*o**3. What is u in w(u) = 0?
-1, 1
What is j in 0*j - 1/6*j**5 + 1/6*j**2 + 1/2*j**4 + 0 - 1/2*j**3 = 0?
0, 1
Factor 4/5 + c**3 + 16/5*c + 17/5*c**2.
(c + 1)*(c + 2)*(5*c + 2)/5
Let x(i) = i**3 + 3*i**2 - 4*i - 5. Let s be x(-3). Let b = -5 + s. Solve 1/3*r**2 + b*r + 3 = 0 for r.
-3
Let q = -6 + 10. Let o(k) be the second derivative of 0 - 1/54*k**q + 1/135*k**6 + 0*k**3 + 0*k**2 - k + 0*k**5. Factor o(s).
2*s**2*(s - 1)*(s + 1)/9
Let x(u) be the second derivative of -u**6/1440 - u**5/240 - u**4/96 + 2*u**3/3 - 3*u. Let l(b) be the second derivative of x(b). Factor l(k).
-(k + 1)**2/4
Let g(p) be the first derivative of -p**4/24 + p**3/3 - 5*p**2/12 - 8. What is z in g(z) = 0?
0, 1, 5
Let v(j) be the third derivative of -j**6/600 + j**5/150 + 4*j**2. Determine r, given that v(r) = 0.
0, 2
Let y(v) be the second derivative of -v**4/4 - v**3/2 - v. Determine z so that y(z) = 0.
-1, 0
Let r = 14 - 11. Factor r*h**2 - 3*h**2 + 2*h**2 - 3*h**2.
-h**2
Let j(k) = -21*k**3 - 3*k**2 + 3*k + 3. Let l(i) = -5*i**3 - i**2 + i + 1. Let z(f) = -2*j(f) + 9*l(f). Factor z(a).
-3*(a - 1)*(a + 1)**2
Suppose -3*o - o - 40 = 0. Let k be o/3*15/(-9). Suppose 4/9 + k*f + 26*f**2 + 54*f**3 + 42*f**4 = 0. What is f?
-1/3, -2/7
Suppose 5*d + 5*w - 10 = 0, -w = 2*d + 2*d - 2. Determine o so that -1/4*o**5 + 1/2*o**3 + 1/4*o**4 + 0*o**2 + d + 0*o = 0.
-1, 0, 2
Let u(p) = p**5 + 13*p**3 + p. Let i(z) = 2*z**5 + 20*z**3 + 2*z. Let f(n) = 5*i(n) - 8*u(n). Determine a so that f(a) = 0.
-1, 0, 1
Let f(j) be the second derivative of 3*j**5/20 - 3*j**4/4 + 6*j**2 + 7*j - 1. Find u, given that f(u) = 0.
-1, 2
Let r(j) be the third derivative of -j**6/40 + j**4/8 - 7*j**2. Suppose r(q) = 0. What is q?
-1, 0, 1
Let g(w) = 2*w**3 - 9*w**2 + 3*w - 5. Let i(l) = 2*l**3 - 10*l**2 + 2*l - 6. Let z(s) = 4*g(s) - 3*i(s). Let z(h) = 0. What is h?
1
Let d(y) be the second derivative of 5*y**4/24 + 7*y**3/12 + y**2/2 - 7*y. Suppose d(b) = 0. Calculate b.
-1, -2/5
Let n(a) be the third derivative of 0*a - 1/10*a**3 + 0*a**4 + 8*a**2 + 1/100*a**5 + 0. Suppose n(v) = 0. What is v?
-1, 1
Let n(o) be the third derivative of -o**6/540 - o**5/45 - o**4/12 - 4*o**3/27 - 8*o**2. Suppose n(c) = 0. Calculate c.
-4, -1
Suppose 5 = v + l + 4, -2*v = l - 3. Let r(i) = i**3 - 5*i**2 + 4*i + 2. Let x be r(4). Solve 2*o**4 + 2*o**x + o + o**v + 3*o**3 - o**4 = 0.
-1, 0
Let m(a) = -a**5 - a**3 + a**2 + 1. Let t(k) = 9 + 3*k**5 - 12*k**3 - 9*k**2 - 6*k**3 + 15*k**2. Let z(d) = -9*m(d) + t(d). Find r, given that z(r) = 0.
-1/2, 0, 1
Let q be 121/(-77) + 4 + -2. Determine w so that -3/7*w - 3/7 + q*w**3 + 3/7*w**2 = 0.
-1, 1
Factor -t**2 + t**4 + 10*t - 10*t.
t**2*(t - 1)*(t + 1)
Let t(w) be the second derivative of -4*w - 1/60*w**4 - 9/10*w**2 - 1/5*w**3 + 0. Factor t(q).
-(q + 3)**2/5
Let o(g) be the first derivative of 0*g**4 - 3 - 2/5*g**5 - 2*g + 4/3*g**3 + 0*g**2. Factor o(x).
-2*(x - 1)**2*(x + 1)**2
Suppose -3*k + 0*z = -z - 6, 0 = 4*k + 2*z - 18. Let d = k + 1. What is r in 5 - d*r - 1 + 2*r**2 - 2 = 0?
1
Suppose -5*k - 3*d = -d + 6, 3*d = -3*k. Let t = -3/2 - k. Solve -3/2*c**3 + t*c**4 + 3/2*c**2 + 0 - 1/2*c = 0 for c.
0, 1
Let j(n) be the third derivative of -2*n**2 + 0 + 0*n - 1/480*n**6 + 0*n**3 - 1/240*n**5 + 0*n**4. Factor j(c).
-c**2*(c + 1)/4
Factor 35/3*z - 2 + 4*z**3 - 47/3*z**2.
(z - 3)*(3*z - 2)*(4*z - 1)/3
Let c(z) be the second derivative of 1/270*z**5 + 0 - 2*z + 1/3*z**3 + 0*z**4 - 1/1620*z**6 + 0*z**2. Let t(i) be the second derivative of c(i). Solve t(v) = 0.
0, 2
Let a(c) be the second derivative of -c**5/4 - 5*c**4/6 - 5*c**3/6 - 14*c. Factor a(j).
-5*j*(j + 1)**2
Factor 0 - 1/4*j - 1/8*j**2 + 1/8*j**3.
j*(j - 2)*(j + 1)/8
Let u(x) = x**2 - 8*x + 7. Let t be u(7). Let r(y) be the first derivative of -2/9*y**3 + 8/9*y + t*y**2 + 1/18*y**4 + 1. Factor r(c).
2*(c - 2)**2*(c + 1)/9
Suppose 14 = 3*w - 5*w. Let f = w - -22/3. Factor 0*p + 0 - 2/3*p**3 + 1/3*p**4 + f*p**2.
p**2*(p - 1)**2/3
Let s(w) be the first derivative of 3 - 2/5*w**2 - 2/5*w**3 + 1/10*w**4 + 6/25*w**5 + 1/15*w**6 + 0*w. Suppose s(d) = 0. What is d?
-2, -1, 0, 1
Factor 0*m**2 + 0*m + 1/6*m**3 + 0.
m**3/6
Let h be 0/(-1*(1 - 3)). Let b(x) = x**2 - 10*x - 34. Let z be b(13). Factor 1/2*u**3 + 0*u**2 - u**4 + 0*u + h + 1/2*u**z.
u**3*(u - 1)**2/2
Let f = -2/215 + 444/1505. Factor -8/7*r - 6/7 - f*r**2.
-2*(r + 1)*(r + 3)/7
Suppose 42*s - 40*s - 8 = 0. Factor 5/2*r**5 + 16*r**2 + 11*r**s + 13/2*r + 19*r**3 + 1.
(r + 1)**4*(5*r + 2)/2
Let a be (-8)/(-22)*91/14. Solve -a*w**2 - 8/11 - 2/11*w**4 + 12/11*w**3 + 24/11*w = 0.
1, 2
Let i(k) be the second derivative of 0*k**2 + 1/6*k**4 - 2*k - 7/180*k**6 + 1/9*k**3 - 3/40*k**5 + 0. Factor i(w).
-w*(w - 1)*(w + 2)*(7*w + 2)/6
Let k(o) be the third derivative of o**5/300 - o**4/120 - 22*o**2. Factor k(x).
x*(x - 1)/5
Let r(o) be the second derivative of 0 - 1/21*o**6 + 0*o**3 - 3/70*o**5 + 3*o + 1/21*o**4 + 0*o**2. Factor r(n).
-2*n**2*(n + 1)*(5*n - 2)/7
Let f(m) be the first derivative of -m**4/18 - 2*m**3/27 + m**2/9 + 2*m/9 + 6. Let f(d) = 0. Calculate d.
-1, 1
