/4*u**2.
-u*(u + 2)/4
Let f be 4 + (-6)/(9/3). Suppose f = 2*o - 2. Determine x, given that 8*x**o + 16*x**3 - 3 + 4 + 2*x**5 + 6*x + 6*x**2 + 9*x**4 = 0.
-1, -1/2
Let q be (-8)/(-36) + (-50)/(-18). Let 2*d - 3*d**2 + 6*d**2 - 3*d**q - 2*d**3 + 0*d**2 = 0. Calculate d.
-2/5, 0, 1
Suppose -24*m = -13*m - 44. Find k such that 1/2*k**m - 1/2*k**3 - 1 - 3/2*k**2 + 5/2*k = 0.
-2, 1
Factor 9/4*j**4 + 0 - 15/4*j**3 + 3/4*j + 3/4*j**2.
3*j*(j - 1)**2*(3*j + 1)/4
Let r = 3926/5 + -785. Factor 0 - 1/5*f - r*f**3 - 2/5*f**2.
-f*(f + 1)**2/5
Suppose 0*l + 1/2*l**2 - 1/2*l**5 - 3/2*l**3 + 0 + 3/2*l**4 = 0. Calculate l.
0, 1
Let c be (-1 - -4) + 2/(-2). Factor 2 + y**3 - c*y**2 - 7*y + y + 5*y.
(y - 2)*(y - 1)*(y + 1)
Determine i, given that -15*i**3 - 3*i - 2*i - 2*i**2 - 3*i**4 - 19*i**2 - 4*i = 0.
-3, -1, 0
Factor -44/3*b - 28/3*b**2 - 20/3 - 4/3*b**3.
-4*(b + 1)**2*(b + 5)/3
What is x in 0 + 2/3*x**2 - 2*x = 0?
0, 3
Let f = 59/138 - 6/23. Find m, given that 1/6*m**4 - 1/6*m**2 - f*m + 0 + 1/6*m**3 = 0.
-1, 0, 1
Suppose p = -0*p. Let a(k) be the third derivative of p*k + 0 + 0*k**4 + 0*k**3 - 2*k**2 + 1/150*k**5. Factor a(l).
2*l**2/5
Let z(q) = -q + 7. Let g be z(7). Factor 2*r - 3*r**2 + r**3 - 2*r - 1 + g*r + 3*r.
(r - 1)**3
Factor 1/3*r**2 + 0 + 1/3*r.
r*(r + 1)/3
Let h be ((-744)/(-189) - 4) + 2/7. Factor -2/3*a**2 + 0 + 2/3*a**3 + h*a - 2/9*a**4.
-2*a*(a - 1)**3/9
Factor 0 + 2/13*h**2 + 0*h + 2/13*h**3.
2*h**2*(h + 1)/13
Let v(r) be the second derivative of r**4/21 - 12*r**3/7 + 162*r**2/7 - r + 20. Factor v(t).
4*(t - 9)**2/7
Let d be (-7)/2*852/(-30). Let r = -99 + d. Find n such that r*n**3 + 2/5*n**2 + 0 + 0*n = 0.
-1, 0
Suppose -p = 2*s - 1, -s = 2*s + 2*p - 1. Solve 9*k + 2*k**2 + 17 - 7*k + 10*k + s = 0.
-3
Suppose -5*p - 3*m = 67, 3*p + p = 3*m - 32. Let i = p + 15. Solve -27*s**2 + 3*s**4 + 31*s**3 - 7*s**i - 1 - 8*s**4 + 9*s + 0 = 0.
1/4, 1/3, 1
Let p(f) be the first derivative of 2*f**3/45 + 8*f**2/15 + 32*f/15 + 4. Find k, given that p(k) = 0.
-4
Let x = -18 - -18. Let w(n) be the first derivative of 3/4*n**4 - 2/3*n**6 + 1/2*n**2 - 5/3*n**3 + 1 + x*n + n**5. Solve w(a) = 0 for a.
-1, 0, 1/4, 1
Let u(s) = -3*s + 7. Let z(i) = -i + 3. Let n(o) = -2*u(o) + 5*z(o). Let k be n(1). Factor b**3 - 5*b**2 - b + 5*b**k.
b*(b - 1)*(b + 1)
Let k be (-2)/(-5) + (-11)/25. Let y = k - -59/225. Factor -2/3*w**3 - 4/9*w**2 + 0*w**4 + y*w**5 + 0 + 0*w.
2*w**2*(w - 2)*(w + 1)**2/9
Let x = -447 + 451. Suppose -4/3*s + 6*s**x + 0 - 4/3*s**3 + 8/3*s**5 - 6*s**2 = 0. What is s?
-2, -1, -1/4, 0, 1
Let l(x) be the second derivative of -x**6/3 + 7*x**5/10 + 4*x**4/3 - 4*x**3/3 + 31*x. Factor l(b).
-2*b*(b - 2)*(b + 1)*(5*b - 2)
Let o(m) be the third derivative of m**6/300 - m**5/30 + 2*m**4/15 - 4*m**3/15 - 14*m**2. Solve o(k) = 0 for k.
1, 2
Suppose 5*q - 4*q - 4 = 0. Factor 0 + 0*d**2 + 2/3*d**5 + 2/3*d + 0*d**q - 4/3*d**3.
2*d*(d - 1)**2*(d + 1)**2/3
Suppose 83*c - 86*c - 14 = -w, -14 = -4*w - 2*c. Factor 2*b**4 - 1/2*b**5 + 4 - w*b**2 + 2*b - 1/2*b**3.
-(b - 2)**3*(b + 1)**2/2
Let a(m) be the third derivative of 1/70*m**7 + 3/20*m**6 - 6*m**2 + 0*m + 5/4*m**4 + 3/2*m**3 + 0 + 3/5*m**5. Factor a(t).
3*(t + 1)**3*(t + 3)
Let p(a) be the second derivative of a**5/5 + a**4/6 - 2*a**3/3 - a**2 - 3*a + 3. Factor p(q).
2*(q - 1)*(q + 1)*(2*q + 1)
Determine k, given that 10/11*k**2 + 8/11*k - 2/11 = 0.
-1, 1/5
Let z(t) = -2*t**5 - 2*t**4 + 2*t**3 + 5*t**2 - 3*t - 3. Let c(y) = -y**2 + y + 1. Let h(n) = 3*c(n) + z(n). Find r, given that h(r) = 0.
-1, 0, 1
Let x(s) = s**2 + s - 3. Let q be x(2). Let p(u) be the second derivative of -1/3*u**q - 1/12*u**4 - 2*u - 1/2*u**2 + 0. Determine b so that p(b) = 0.
-1
Let s(h) = 3*h + 8. Let x(b) = -8*b - 23. Let o(f) = 11*s(f) + 4*x(f). Let r be o(4). Factor -3/4*u**2 + r + 3/4*u.
-3*u*(u - 1)/4
Suppose 2*z + 0 - 2 = 0. Suppose -74 = -5*c + 3*p, 4*p + 0*p = 2*c - 24. What is h in 3 + 4*h**4 + z + 2 - 6*h**2 + 2 + c*h - 10*h**3 = 0?
-1, -1/2, 2
Let b be (-14)/(-168)*4/6. Let j(a) be the second derivative of 0 + 0*a**2 - b*a**4 + 0*a**3 - a + 1/30*a**5. Let j(g) = 0. Calculate g.
0, 1
Let m(r) be the third derivative of -r**2 + 1/30*r**4 + 0*r + 2/15*r**3 + 0 + 1/300*r**5. Suppose m(t) = 0. Calculate t.
-2
Factor -9*m**2 + 3/2*m**3 + 0 + 27/2*m.
3*m*(m - 3)**2/2
Suppose -23*t = -18*t - 25. Let u(x) be the first derivative of 0*x**3 - x**2 + 3*x**4 - 1 - 16/5*x**t + x**6 + 0*x. Factor u(f).
2*f*(f - 1)**3*(3*f + 1)
Let f = 17/10 + -6/5. Factor 3/2*u**2 + 3/2*u + f*u**3 + 1/2.
(u + 1)**3/2
Suppose -2*b + 0*o + 8 = 4*o, 5*b - 44 = -2*o. Let h be (-19)/(-5) - 2/b. Factor -4/5*t**4 - 2/5 - h*t**2 - 2*t - 14/5*t**3.
-2*(t + 1)**3*(2*t + 1)/5
Let f = 4/61 + 41/305. Let g(p) be the first derivative of -1/3*p**3 + 1/2*p**2 + 0*p + f*p**5 - 1/4*p**4 + 1. Factor g(w).
w*(w - 1)**2*(w + 1)
Let k(x) = -x**2 - x + 3. Let c be k(-3). Let a be c - 16/30*-6. Let a*s**4 + 0*s**2 + 0 + 0*s + 2/5*s**3 = 0. What is s?
-2, 0
Let b(v) be the third derivative of -v**6/600 + v**5/100 - v**4/60 + 29*v**2. Find h, given that b(h) = 0.
0, 1, 2
Suppose -d = 10*d - 0*d. Let z(v) be the second derivative of -2*v**2 + 5/3*v**3 + 2*v - 2/3*v**4 + 1/10*v**5 + d. Factor z(x).
2*(x - 2)*(x - 1)**2
Factor -y**4 + 3*y**4 - 3*y**4 + y**2.
-y**2*(y - 1)*(y + 1)
Let f(y) = y**2 - 1. Let a be f(0). Let g be (-84)/(-18) + a/(-3). Factor -6*u - u + 0*u + g*u**2 + 2.
(u - 1)*(5*u - 2)
Let b be (16/4 - -1) + -1. Let j be (-3)/27*-39 - b. Factor 0*f**2 + j*f**3 - f - 2/3.
(f - 2)*(f + 1)**2/3
Let m = 2/87 - -77/435. Factor -1/5*f**2 + m*f**5 + 3/5*f**3 + 0*f - 3/5*f**4 + 0.
f**2*(f - 1)**3/5
Let v = 8 + -7. Suppose 2*c**3 + 2 - 4*c + v - 3 - 2*c**2 = 0. Calculate c.
-1, 0, 2
Let a(t) be the first derivative of -t**5/25 - t**4/5 - t**3/3 - t**2/5 + 6. Factor a(m).
-m*(m + 1)**2*(m + 2)/5
Suppose -2*r = -r - 3. Let a be (r/5)/(15/20). Find u, given that -a - 2/5*u + 2/5*u**3 + 4/5*u**2 = 0.
-2, -1, 1
Let s = -7 + 16. Let r(w) = -w**3 - w**2 + 3*w - 1. Let t(b) = 4*b**3 + 4*b**2 - 13*b + 5. Let k(m) = s*r(m) + 2*t(m). Factor k(g).
-(g - 1)*(g + 1)**2
Factor 0 + 0*d + 2/7*d**2.
2*d**2/7
Let r(a) = 5*a**2 - 54*a + 186. Let g(f) = 5*f**2 - 53*f + 187. Let i(d) = 6*g(d) - 7*r(d). Factor i(l).
-5*(l - 6)**2
Let g(l) be the first derivative of -1/3*l**6 + 6 - 3*l**4 + 8/5*l**5 - l**2 + 8/3*l**3 + 0*l. Factor g(u).
-2*u*(u - 1)**4
Let g(v) = v - 1. Let f(b) = b**2 - 5*b - 4. Let z(s) = -f(s) - 4*g(s). Let x(l) = 3*l**2 - 3*l - 23. Let r(u) = -6*x(u) - 17*z(u). Let r(h) = 0. What is h?
-1, 2
Let m(l) be the first derivative of -l**7/210 + l**6/120 + l**5/60 - l**4/24 + 3*l**2/2 - 1. Let f(o) be the second derivative of m(o). Solve f(g) = 0 for g.
-1, 0, 1
Factor -4/7*f**3 + 0 - 2/7*f**4 + 0*f + 0*f**2.
-2*f**3*(f + 2)/7
Let p(l) be the second derivative of -1/120*l**5 - l**2 - 1/48*l**4 + 0 + 2*l + 0*l**3. Let n(d) be the first derivative of p(d). Factor n(b).
-b*(b + 1)/2
Let c be 123/(-25) - -2 - -3. Let j(s) be the first derivative of 0*s**2 + 0*s + 2/15*s**6 - 1/10*s**4 + 0*s**3 + c*s**5 - 3. Solve j(d) = 0 for d.
-1, 0, 1/2
Let i(m) be the third derivative of 1/10*m**3 - 5*m**2 + 0*m + 1/20*m**4 + 0 + 1/100*m**5. Factor i(p).
3*(p + 1)**2/5
Let c(b) = 2*b**3 - 13*b**2 + 7*b - 6. Let f be c(6). Factor 0*q - 1/2*q**2 + f.
-q**2/2
Let i be (9/(-12))/((-2)/8). Determine g so that 4*g**5 + 10*g**2 + 7 - i*g**4 - 7*g**4 - 7 - 4*g = 0.
-1, 0, 1/2, 1, 2
Let q(l) = 18*l**5 + 32*l**4 + 4*l**3 - 28*l**2 - 26*l. Let u(g) = -g**5 + g**3 + g - 1. Let c(i) = q(i) + 4*u(i). Determine h so that c(h) = 0.
-1, -2/7, 1
Let u be 27/(-10) - (-14)/4. Find t such that -6/5*t**2 + t - 1/5 + 8/5*t**4 - u*t**3 = 0.
-1, 1/2
Suppose 29 = 2*v + 3*w + 2*w, 3*v - 2*w = -4. Suppose -v*o = -7*o. Factor o*u**2 - 1/2*u**3 + 0*u + 0.
-u**3/2
Let z(a) = 10*a**3 - 24*a**2 + 18*a - 8. Let d(p) = 21*p**3 - 48*p**2 + 35*p - 15. Let r be 2/(6/(-33)*1). Let l(m) = r*z(m) + 6*d(m). What is v in l(v) = 0?
1/2
Let a(f) = 3*f**5 + 2*f**4 + 8*f**3 + 2*f**2 - 2*f + 5. Let w(b) = 3*b**5 + 3*b**4 + 7*b**3 + b**2 - 2*b + 4. Let y(d) = 4*a(d) - 5*w(d). What is v in y(v) = 0?
-1, 0, 2/3
Let b(q) = -q + 2. Let s be b(0). Let f = 105/4 + -26. Factor -1/4*l**s + 0 + 1/2*l**3 - f*l**4 + 0*l.
-l**2*(l - 1)**2/4
Let p = 10 + -18. Let a