3 - n**4 + 3*n**3 + 3*n**5 - 3*n**3 - 4*n**x = 0.
-2, 0, 1
Solve -y**4 + 3*y**4 + 257*y**3 + 2*y**2 - 6*y**2 - 255*y**3 = 0 for y.
-2, 0, 1
Let b(w) be the third derivative of -1/315*w**7 + 7*w**2 + 1/36*w**4 + 0*w - 2/9*w**3 + 1/30*w**5 + 0 - 1/180*w**6. Determine r, given that b(r) = 0.
-2, -1, 1
Let f(b) = 3*b**2 + 9*b**2 - 5*b**2 + 0 + 11*b + 9. Let a(g) = g**3 - g**2 + g - 1. Let z(m) = 2*a(m) + 2*f(m). Solve z(p) = 0.
-2
Let w(j) = -j**2 - 8*j - 5. Let u(n) = -n**2 - 12*n - 7. Let s(f) = -5*u(f) + 7*w(f). Determine i, given that s(i) = 0.
0, 2
Let g(q) be the first derivative of -4*q**6/51 + 8*q**5/85 + 3*q**4/34 - 4*q**3/51 - q**2/17 - 4. Suppose g(p) = 0. Calculate p.
-1/2, 0, 1
Let v(q) be the second derivative of 4*q + 1/8*q**2 + 0*q**3 + 0 - 1/48*q**4. Let v(j) = 0. What is j?
-1, 1
Let q(j) = -j**3 - 7*j**2 - 13*j - 7. Let s be q(-5). Let y be (s + -7)*(2 - -1). Factor -y*o + 3*o**4 + 6*o**2 - 3/5*o**5 - 6*o**3 + 3/5.
-3*(o - 1)**5/5
Suppose 0 = -42*p + 40*p + 3*t + 14, 2*p + 4*t = 0. Solve 0 - 1/9*r**2 + 0*r - 2/9*r**3 - 1/9*r**p = 0 for r.
-1, 0
Let m(c) be the first derivative of 3*c**5/35 - 13. Factor m(z).
3*z**4/7
Let y(c) be the second derivative of -3*c**5/50 - 7*c**4/10 - 8*c**3/5 + 48*c**2/5 - 10*c. Solve y(d) = 0 for d.
-4, 1
Let h(n) = n**5 - 3*n**4 + 6*n**3 + 4*n**2 - 8*n - 2. Let f(x) = -2*x**5 + 4*x**4 - 6*x**3 - 4*x**2 + 8*x + 3. Let c(s) = -2*f(s) - 3*h(s). Factor c(q).
q*(q - 2)*(q - 1)*(q + 2)**2
Let s = 15 - 11. Let y be -4 - (3 - 8 - 9). Factor -4*v - 5*v**3 - 2*v**3 - y*v**2 + 6*v**5 - 4*v**5 + v**3 + 2*v**s.
2*v*(v - 2)*(v + 1)**3
Let s be (0 + -1)*(-3 + 0). What is a in -4*a**4 - 3 + s + a + 6*a**3 - 3*a = 0?
-1/2, 0, 1
Let g = -5201 + 26098/5. Let p = g + -631/35. Factor p + 2/7*a**2 + 6/7*a.
2*(a + 1)*(a + 2)/7
Let g(q) = q**3 + 15*q**2 + 14*q + 3. Let s be g(-14). Let y be 5/s + 3 + -4. Factor -2/3*x + y*x**2 + 0.
2*x*(x - 1)/3
Let u be 1/(-4)*((-1)/3 - 1). Determine x so that 0*x - u + 1/3*x**2 = 0.
-1, 1
Let s(c) = c**2 - 33*c - 70. Let i be s(35). Factor i*q - 4/9*q**3 + 2/9*q**4 + 2/9*q**2 + 0.
2*q**2*(q - 1)**2/9
Let z(g) = g**2 + 1. Let x be z(-1). Suppose x*t - 10 = -3*t. Determine k, given that k**2 - 2 + k**t + 0*k**2 + 0 = 0.
-1, 1
Let p(v) = -v + 8. Let m be p(3). Factor -6*b**4 + 2*b**3 + 16*b**5 + b**3 - 13*b**m.
3*b**3*(b - 1)**2
Let b(d) = -5*d**3 + 5*d**2 + 2*d - 2. Let o(c) = 16*c**3 - 16*c**2 - 6*c + 6. Let f(q) = 20*b(q) + 6*o(q). Let f(m) = 0. Calculate m.
-1, 1
Let i be 48/(-75)*((-9)/2 - -2). Let 2/5*q**4 + 12/5*q**2 + 2/5 - i*q - 8/5*q**3 = 0. Calculate q.
1
Let n(l) = -l**3 - l**2 + l - 1. Let m(i) = 11*i**4 - 34*i**3 + 29*i**2 - 5*i + 1. Let w(t) = 3*m(t) + 3*n(t). Factor w(a).
3*a*(a - 2)*(a - 1)*(11*a - 2)
Let g be (-14)/(-21) + (-35)/(-42). Determine m so that 0*m**3 - 3*m**2 + g*m**4 + 3/2 + 0*m = 0.
-1, 1
Let g(z) be the second derivative of -2*z**7/21 - 2*z**6/15 + 3*z**5/5 + z**4/3 - 4*z**3/3 - 15*z. Let g(t) = 0. Calculate t.
-2, -1, 0, 1
Let p(b) be the first derivative of -5*b**6/18 + 17*b**5/15 - 11*b**4/12 - 13*b**3/9 + 8*b**2/3 - 4*b/3 + 12. Solve p(y) = 0.
-1, 2/5, 1, 2
Let k be (-6)/(-8)*(-28)/(-105). Let -2/5 + k*f + 1/5*f**2 = 0. Calculate f.
-2, 1
Solve -8/5*l**4 - 2/5*l**3 + 8/5*l**2 + 2/5*l + 0 = 0.
-1, -1/4, 0, 1
Let m(q) = -6*q**3 - 8*q**2 - 2*q - 2. Let o(g) = 13*g**3 + 16*g**2 + 3*g + 5. Let z = -8 + 10. Let n(x) = z*o(x) + 5*m(x). Solve n(r) = 0 for r.
-1, 0
Let y(z) be the second derivative of -z**6/70 + z**4/14 - 3*z**2/14 - 14*z. What is a in y(a) = 0?
-1, 1
Factor -4214*w**2 + 2*w**3 + 4214*w**2 + 2*w**4.
2*w**3*(w + 1)
Let t(p) be the first derivative of 5*p**4/18 - 2*p**3/9 - 2*p**2/9 - 6. Factor t(y).
2*y*(y - 1)*(5*y + 2)/9
Let z(y) be the second derivative of y**8/1680 - y**7/420 - y**6/360 + y**5/60 + 5*y**3/6 - y. Let s(r) be the second derivative of z(r). Factor s(n).
n*(n - 2)*(n - 1)*(n + 1)
Let o(m) be the second derivative of 1/40*m**6 - 1/2*m**2 + 1/3*m**3 + m - 1/24*m**4 - 1/15*m**5 + 0. Let j(x) be the first derivative of o(x). Factor j(u).
(u - 1)**2*(3*u + 2)
Let x be (2/7)/(-2 + (-168)/(-49)). Solve -x*u**5 + 1/5*u**3 + 0*u**4 + 0 + 0*u**2 + 0*u = 0.
-1, 0, 1
Let t(u) = u**2 - 4*u + 2. Let k be t(4). Suppose 9*v**2 + 2 + v**2 + k*v**2 - 8*v - 8*v**3 + 2*v**4 = 0. Calculate v.
1
Let i(l) = -2*l**5 - 6*l**4 + 2*l**3 + 6*l**2 - 2. Let p(u) = 2*u**5 + 7*u**4 - 3*u**3 - 7*u**2 + u + 3. Let v(y) = 6*i(y) + 4*p(y). Factor v(x).
-4*x*(x - 1)*(x + 1)**3
Factor -1/2 - 1/4*k + 1/4*k**2.
(k - 2)*(k + 1)/4
Let n(i) = -i - 4. Let f(g) = -2*g**2 + 3*g + 3. Let s be f(3). Let r be n(s). Suppose -k**3 + k**2 - 4*k**3 - r*k + 3*k**3 + 3*k**2 = 0. Calculate k.
0, 1
Let m be 3 + 1*(2 - -2). Let p be 1/4 - m/(-28). Determine k so that p*k - k**4 + 0*k**3 - 1/2*k**5 + 0 + k**2 = 0.
-1, 0, 1
Let n(j) be the second derivative of -1/3*j**3 + 1/6*j**4 + 0 - 2*j**2 - 3*j. Suppose n(t) = 0. What is t?
-1, 2
Let i be 2/(-8)*2*-10. Let b be i*((-18)/5 - -4). Factor 1/4*a**b + 0 - 1/4*a.
a*(a - 1)/4
Suppose c = 2 + 2. Let z(i) = 2*i**2 - 6*i. Let u(k) = -2*k**2 + 6*k. Let b(y) = c*z(y) + 5*u(y). Factor b(n).
-2*n*(n - 3)
Factor 2/7*k - 2/7*k**2 + 4/7.
-2*(k - 2)*(k + 1)/7
Let j = -7 + 324. Let s = -1439/5 + j. Suppose -2/5 + 128/5*w**5 - s*w**2 + 344/5*w**3 - 352/5*w**4 + 28/5*w = 0. Calculate w.
1/4, 1
Suppose -3*p - 1 = -5*j, 3*j - p = -5*p + 18. Solve z**2 + z**3 - z**2 + 4*z**j + 4*z = 0 for z.
-2, 0
Let p(f) = 2*f**3 - f**2 + f. Let c be p(1). Let m be (0 - 2) + 5 + c. Factor -2*z**3 + z - 1 + 0*z**5 + 2*z**2 - z**4 - z**m + 2*z**5.
(z - 1)**3*(z + 1)**2
Let w(o) be the second derivative of o**6/60 + o**5/80 - o**4/24 - o**3/24 + o. Suppose w(x) = 0. Calculate x.
-1, -1/2, 0, 1
Let h be (0 - -1)*(6 - 3). Factor -l**5 - 4*l**h - 8*l**5 + 2*l**3 - 15*l**4 - 4*l**3.
-3*l**3*(l + 1)*(3*l + 2)
Let f(n) be the third derivative of -n**5/90 + 4*n**3/9 + 3*n**2. Factor f(k).
-2*(k - 2)*(k + 2)/3
Let p(a) be the third derivative of a**6/480 + a**5/240 - a**4/48 - 49*a**2. Factor p(o).
o*(o - 1)*(o + 2)/4
Let p(g) = -15*g**4 + 15*g**3 + 11*g**2 + 11*g + 11. Let s(h) = -6*h - 4*h**3 + 3*h + 4*h**4 - 5*h**2 + 2*h**2 - 3. Let a(x) = 6*p(x) + 22*s(x). Solve a(n) = 0.
0, 1
Let r(s) be the second derivative of s**6/900 - s**5/300 - 5*s**3/6 - 2*s. Let u(n) be the second derivative of r(n). Factor u(j).
2*j*(j - 1)/5
Let l be ((-50)/(-10))/(1 + -2)*-1. Let w(r) be the second derivative of 1/14*r**7 - 3/20*r**l + 0*r**2 - 1/4*r**4 + 1/10*r**6 + 0*r**3 - 3*r + 0. Factor w(q).
3*q**2*(q - 1)*(q + 1)**2
Let l(o) be the second derivative of -o**5/80 - o**4/24 - o**3/24 + 31*o. Determine v, given that l(v) = 0.
-1, 0
Let v(t) be the first derivative of t**5/3 + 5*t**4/4 - 25*t**3/9 - 5*t**2/2 + 20*t/3 - 17. Solve v(p) = 0.
-4, -1, 1
Let g = 1 - -9. Factor 2*d**5 + 2*d**4 - 2*d**2 + 0*d**2 - g*d**3 + 0*d**2 + 8*d**3.
2*d**2*(d - 1)*(d + 1)**2
Let r(v) be the first derivative of 3*v**5/10 + 3*v**4/2 + 3*v**3/2 - 3*v**2 - 6*v + 2. Factor r(a).
3*(a - 1)*(a + 1)*(a + 2)**2/2
Determine p so that 0 + 8/5*p + 2/5*p**2 = 0.
-4, 0
Let d = 5 - 3. Factor -2*f**2 - 2*f**2 + 2 + 2*f**d + 0*f**2.
-2*(f - 1)*(f + 1)
Let k = -42 - -128/3. Factor 2/3*c**3 - 2/3*c**4 + 2/3*c**2 - k*c + 0.
-2*c*(c - 1)**2*(c + 1)/3
Suppose 4*n + 12 - 16 = w, 0 = 5*w + 2*n - 24. Let j be 4/(-18) - (-19)/45. Factor 3/5*z**3 + 2/5 - 3/5*z - j*z**2 - 1/5*z**w.
-(z - 2)*(z - 1)**2*(z + 1)/5
Factor -110 + 15*r**3 - 9*r**2 + 38 - 155*r - 2*r - 29*r.
3*(r - 4)*(r + 3)*(5*r + 2)
Let b = 6 + -3. Suppose -l**3 + 5*l**3 - 3*l**b - 3*l**3 = 0. What is l?
0
Let c = -1 + 6. Factor 2*z**3 - 2*z**c + 4*z**4 + z**5 + 3*z**5.
2*z**3*(z + 1)**2
Let j be 1 + -2 - (1 - 7). Let p be 13/(-3) - (-9 - -4). Factor -2/3*r**2 + p*r**3 - 1/3*r**j + 1/3*r**4 + 1/3 - 1/3*r.
-(r - 1)**3*(r + 1)**2/3
Let z(t) = -t**3 + 7*t**2 + 5. Let l be z(7). Let r be (-6)/l - (-14)/7. Factor 2/5 + 4/5*o + 0*o**2 - 2/5*o**4 - r*o**3.
-2*(o - 1)*(o + 1)**3/5
Suppose 0 = -3*s - 3 + 27. Suppose 0*z + 4*z - s = 0. Find d, given that -d**3 - z*d**2 - 4*d - d**3 + 4*d = 0.
-1, 0
Let g be 0/((3 + -2)*2). Suppose 0 + 0*s**2 + g*s + 2/11*s**4 + 0*s**3 = 0. What is s?
0
Suppose 3/5*m + 2/5 + 1/5*m**2 = 0. Calculate m.
-2, -1
Let c(u) be the third derivative of u**5/15 + 