 Let b(i) = -5*i**5 - 8*i**4 + 6. Let z(r) = 11*b(r) - 6*x(r). Solve z(u) = 0.
0, 2
Suppose -10 = -2*q + 10. Let h(z) = -6*z**4 + z**3 + 9*z**2 - 4. Let p(f) = -11*f**4 + f**3 + 18*f**2 - 8. Let d(r) = q*h(r) - 6*p(r). Factor d(v).
2*(v - 1)**2*(v + 2)*(3*v + 2)
Let s(c) be the second derivative of c - 5/2*c**4 - 5/2*c**3 - 1/14*c**7 - 3/2*c**2 - 3/2*c**5 - 1/2*c**6 + 0. Find a, given that s(a) = 0.
-1
Let u(t) = -9*t**2 - 3*t - 4. Let j(n) = -5*n**2 - n - 2. Let b(k) = 5*j(k) - 3*u(k). Factor b(r).
2*(r + 1)**2
Suppose -8*k + 6*k = 0. Determine g so that 1/2*g**2 - g + k = 0.
0, 2
Factor 1/3*p**2 + 1/2*p**4 + 7/6*p**3 + 0 + 0*p.
p**2*(p + 2)*(3*p + 1)/6
Let y = -23 - -26. Factor 0 + 2/3*l + 2/3*l**5 + 0*l**4 + 0*l**2 - 4/3*l**y.
2*l*(l - 1)**2*(l + 1)**2/3
Let r(s) be the first derivative of 0*s**2 + 0*s - 3/20*s**4 + 0*s**3 + 1/10*s**6 - 3 + 0*s**5. Factor r(x).
3*x**3*(x - 1)*(x + 1)/5
Let o be (7/(-266))/(6/(-88)). Let x = o + 18/19. Let -x*h + 4/3 + 1/3*h**2 = 0. Calculate h.
2
Let n(q) = -q**4 - 2*q**3 - 3*q**2. Let m(w) be the second derivative of -w**6/30 - w**4/12 - w**3/6 + 3*w. Let x(i) = -2*m(i) + n(i). Factor x(v).
v*(v - 2)*(v - 1)*(v + 1)
Let d = 171 + -171. Suppose -1/7*h**2 + 0*h**3 + d + 0*h + 1/7*h**4 = 0. Calculate h.
-1, 0, 1
Let k(v) be the third derivative of 0*v**4 + 0*v**5 + 0 + 0*v + 0*v**3 + 1/112*v**8 - 1/35*v**7 + 1/40*v**6 - 11*v**2. Determine l so that k(l) = 0.
0, 1
Let z(k) = -19*k**2 - 10*k + 4. Suppose -2*g = -5*g + 21. Let m(b) = 28*b**2 + 15*b - 6. Let t(x) = g*z(x) + 5*m(x). Factor t(r).
(r + 1)*(7*r - 2)
Determine j so that -4/3*j - 2/3*j**2 + 2*j**3 - 2/3*j**5 + 0 + 2/3*j**4 = 0.
-1, 0, 1, 2
Let w(o) be the first derivative of 3*o**4 + 28*o**3/3 + 4*o**2 - 29. Solve w(x) = 0.
-2, -1/3, 0
Factor 4/7*x - 4/7*x**3 + 0 + 2/7*x**2 - 2/7*x**4.
-2*x*(x - 1)*(x + 1)*(x + 2)/7
Determine z, given that -2*z**2 + 2*z + 1/2*z**3 + 0 = 0.
0, 2
Suppose 2*v + 20*u - 14 = 23*u, 12 = v - 4*u. Let 0*h + 0*h**2 + 3/5*h**3 - 6/5*h**v + 0 = 0. What is h?
0, 1/2
Let g be (-2)/17 - 42*(-3)/204. Determine j so that 0*j + 1/2*j**3 + 0 - 1/2*j**4 + g*j**2 - 1/2*j**5 = 0.
-1, 0, 1
Solve 0 - o**3 + 1/4*o**4 - 1/4*o**2 + 0*o + o**5 = 0.
-1, -1/4, 0, 1
Let s(v) be the first derivative of -v - 1/80*v**5 + 0*v**2 - 2 + 0*v**4 + 1/24*v**3. Let l(n) be the first derivative of s(n). Determine o so that l(o) = 0.
-1, 0, 1
Factor 415*o**5 - 418*o**5 + 3*o**4 - 7*o**4 - 5*o**4 + 12*o**2.
-3*o**2*(o - 1)*(o + 2)**2
Let b be -2*2 - (-10 + 1). Let h(u) be the third derivative of 0*u**4 + 1/120*u**b - 1/420*u**7 + 0 + 0*u - 2*u**2 + 0*u**3 + 0*u**6. Find x such that h(x) = 0.
-1, 0, 1
Factor 3*y - 5 - 5*y - 3*y + 5*y**2 + 5*y**3.
5*(y - 1)*(y + 1)**2
Let o be 50/12 - 2 - 7/(-21). Determine f, given that -5/2*f**4 - f**3 + o*f**2 + 0 + f = 0.
-1, -2/5, 0, 1
Let m(a) be the second derivative of 1/21*a**7 + 0 - 2/15*a**6 + 0*a**5 - 2*a + 1/3*a**4 - 1/3*a**3 + 0*a**2. Solve m(r) = 0 for r.
-1, 0, 1
Let y(b) be the first derivative of -14*b**6/3 + 4*b**5 + 9*b**4 - 20*b**3/3 - 4*b**2 + 33. Solve y(n) = 0 for n.
-1, -2/7, 0, 1
Let a be (3/(-6))/(4/(-72)). Suppose 0*k - 3*k + a = 0. Factor -3/2 - k*g - 3/2*g**2.
-3*(g + 1)**2/2
Let -4*c**4 - 6*c**4 - 4*c - 23*c**3 - 188*c**2 + 3*c**4 + 168*c**2 = 0. Calculate c.
-2, -1, -2/7, 0
Let j(d) = d**2 - 2*d - 2. Let s be j(2). Let f = s - -4. Factor a**f - 2*a**2 - 2*a + 3*a.
-a*(a - 1)
Let v(i) = -i**2 - i - 1. Let c(n) = n**3 - 4*n**2 - 5*n + 1. Let k be c(5). Let y(g) = 21*g**2 + 12*g + 18. Let z(w) = k*y(w) + 18*v(w). Factor z(j).
3*j*(j - 2)
Suppose 7*s = 2*s - 10. Let l(k) = -k**2 + k - 1. Let x(a) = 6*a**2 - 6*a. Let n(j) = s*x(j) + 4*l(j). Suppose n(r) = 0. What is r?
1/2
Let v(b) be the second derivative of -b**5/170 - b**4/17 - 4*b**3/17 - 8*b**2/17 - 43*b. Factor v(p).
-2*(p + 2)**3/17
Let k = 18 - 17. Suppose 4*z + w = -k, -2*z - 4*w - 6 = -2. Factor 0*h**3 + z - 1/2*h**2 + 1/2*h**4 + 1/4*h**5 - 1/4*h.
h*(h - 1)*(h + 1)**3/4
Let k(q) be the first derivative of q**8/1344 - q**7/140 + 3*q**6/160 - 5*q**2/2 - 1. Let f(i) be the second derivative of k(i). Factor f(b).
b**3*(b - 3)**2/4
Let s(h) be the second derivative of -1/6*h**3 + 0 - 1/6*h**4 + 5*h + h**2 + 1/20*h**5. Let s(k) = 0. What is k?
-1, 1, 2
Factor -i**4 + 2*i**4 + i**4 + i**4.
3*i**4
Let u(g) = 8*g**3 - 12*g**2 - 7*g - 7. Let d(z) = -z**3 + z**2 + z + 1. Let k(q) = -21*d(q) - 3*u(q). Suppose k(p) = 0. Calculate p.
0, 5
Let n be 0 - (-4)/((-3)/6*-4). Suppose 4/13 + 36/13*m**2 + n*m = 0. Calculate m.
-1/2, -2/9
Factor 2/7*l**3 + 0 - 4/7*l + 2/7*l**2.
2*l*(l - 1)*(l + 2)/7
Let b(d) be the second derivative of -2*d - 1/30*d**4 + 0*d**3 + 0 + 1/5*d**2. Let b(m) = 0. Calculate m.
-1, 1
Let v(h) = h**2 - 6*h + 7. Let k be v(5). Suppose -5*s = 3*w - 5*w - 18, -3*w + 23 = 5*s. Factor -l**2 + 0*l**3 + l**s + 2*l**2 + k*l**3.
l**2*(l + 1)**2
Let g(j) be the second derivative of j**4/6 - j**3 + 12*j. Find l such that g(l) = 0.
0, 3
Determine u, given that -6*u**2 - 140 - 3*u + 140 = 0.
-1/2, 0
Suppose -6 = 4*w + 5*u, -w + 5*u + 3 = -8. Let l = 13 + w. Suppose 0*s**5 + 4 + 4*s**4 + 56*s**4 + l*s**5 + 100*s**3 + 80*s**2 + 30*s = 0. What is s?
-1, -2/7
Let f(z) be the second derivative of -z**6/165 + 7*z. Factor f(p).
-2*p**4/11
Let 26/5*r**2 + 2/5*r**4 - 12/5*r**3 + 8/5 - 24/5*r = 0. What is r?
1, 2
Let l(s) = -34*s**3 - 2*s + 3. Let c be l(-3). Let d = 8351/9 - c. Factor -d*f**4 + 0 + 0*f**2 + 2/9*f**3 + 0*f.
-2*f**3*(4*f - 1)/9
Let o = -228380/33 + 6919. Let p = -3/11 - o. Factor -4/3*s**4 + 0 - p*s**2 + 1/3*s**5 + 1/3*s + 2*s**3.
s*(s - 1)**4/3
Let t(j) be the third derivative of 0*j**4 + 0*j**3 + 0*j + 0 - 1/60*j**5 + j**2. Let a(f) = 23*f**2 - 24*f + 8. Let l(c) = a(c) + 5*t(c). Factor l(x).
2*(3*x - 2)**2
Suppose 26 = 6*t + 8. Let y = -1 - -1. Factor d + y*d**t - d**3 + 1 + d**2 - 2.
-(d - 1)**2*(d + 1)
Let k = 257/2 - 126. Factor 1/2*j**2 + 2*j**3 + 0*j + 0 + k*j**4 + j**5.
j**2*(j + 1)**2*(2*j + 1)/2
Let v = -1099/6 - -367/2. Factor 0*l - 1/3 + v*l**2.
(l - 1)*(l + 1)/3
Let r be (((-8)/5)/(10/(-75)))/2. Let d(x) be the third derivative of 0*x**3 - 1/15*x**r + 0*x + 3*x**2 + 1/12*x**4 + 0 + 1/10*x**5. Find a such that d(a) = 0.
-1/4, 0, 1
Suppose 28*n**2 + 20*n**2 - 10*n**2 - 14*n**3 + n**4 + 11*n**2 = 0. What is n?
0, 7
Suppose 2/7*l**2 - 2/7*l**4 + 0*l - 2/7*l**5 + 2/7*l**3 + 0 = 0. Calculate l.
-1, 0, 1
Factor -1/4*t**2 + 0 + 1/2*t.
-t*(t - 2)/4
Let j(u) be the first derivative of 0*u**2 + 2/3*u**3 + 1/2*u**4 + 0*u + 4. Factor j(w).
2*w**2*(w + 1)
Factor 15*x + 2*x**2 - 12*x**2 + 5*x**2.
-5*x*(x - 3)
Let k(d) = -5*d**2 - d + 3. Let p(j) = j + 6*j**2 + j - 5 + 3 - 2. Let b(r) = -4*k(r) - 3*p(r). Suppose b(o) = 0. Calculate o.
0, 1
Let d = -14904/25 - -596. Let h = 11/25 - d. Factor 0 - 1/5*n - 1/5*n**4 - h*n**3 - 3/5*n**2.
-n*(n + 1)**3/5
Let k = 0 + -1. Let t = 3 + k. Let 0*d - 1/3*d**t + 0 = 0. Calculate d.
0
Let p(y) be the first derivative of -y**3 - 6*y**2 - 12*y + 5. Determine k, given that p(k) = 0.
-2
Let o(k) be the second derivative of k**7/70 + k**6/25 - k**4/10 - k**3/10 + 13*k. Find d such that o(d) = 0.
-1, 0, 1
Let l(d) be the first derivative of -3*d**4/4 + d**3 + 3*d**2/2 - 3*d + 1. Find w, given that l(w) = 0.
-1, 1
Let l(a) be the third derivative of -a**8/224 + a**6/80 + a**2. Factor l(t).
-3*t**3*(t - 1)*(t + 1)/2
Let i(p) be the first derivative of 2*p**3/39 + p**2/13 - 4*p/13 + 17. Find z, given that i(z) = 0.
-2, 1
Let m(c) be the third derivative of 0 + 0*c**3 - 2*c**2 + 1/40*c**6 + 0*c + 1/20*c**5 + 1/24*c**4 + 1/210*c**7. Factor m(j).
j*(j + 1)**3
Let r = 533/7 - 76. Let o(w) be the second derivative of -5/21*w**3 + 0 + 4/105*w**6 - 1/14*w**4 + w - r*w**2 + 1/14*w**5. Find g such that o(g) = 0.
-1, -1/4, 1
Factor -684 + 684 + 4*b**2 - 8*b.
4*b*(b - 2)
Let h be (-1)/((-1)/7*1). Solve 0 - h + i - 2*i**2 + 3 + 5*i = 0.
1, 2
Let a(o) be the third derivative of o**8/3528 - 4*o**7/2205 + o**6/315 + o**5/315 - 5*o**4/252 + 2*o**3/63 + 3*o**2. Solve a(t) = 0 for t.
-1, 1, 2
Let t be (-10)/55 - 2/(-11). Let c(s) be the second derivative of 0*s**3 + 2*s + t*s**4 + 0*s**2 + 0 - 7/45*s**6 - 1/15*s**5. Solve c(u) = 0 for u.
-2/7, 0
Factor o + 8*o + 6 + 3*o**2 + o - o.
3*(o + 1)*(o + 2)
Let h be (10/4)/((-1)/(-2)). Let b(g) b