2 + 0*s + 4*s - 3*s**4 - 6*s = 0.
-1, 0, 2
Suppose -3*t = -5*t + m, 0 = 5*t + m. Factor -4/7*a**3 + 2/7*a + 2/7*a**5 + t*a**4 + 0*a**2 + 0.
2*a*(a - 1)**2*(a + 1)**2/7
Factor 8/13 + 2/13*t**2 - 8/13*t.
2*(t - 2)**2/13
Let j = 2852/3311 + -2/473. Let 8/7*r**3 + 0 + 0*r - 2/7*r**2 - j*r**4 = 0. Calculate r.
0, 1/3, 1
Let g(n) be the third derivative of n**10/756000 + n**9/302400 - n**5/30 - 2*n**2. Let w(x) be the third derivative of g(x). Determine m, given that w(m) = 0.
-1, 0
Let f(h) be the first derivative of -h**8/2240 - 3*h**7/1120 - h**6/160 - h**5/160 - 5*h**3/3 - 3. Let g(x) be the third derivative of f(x). Factor g(z).
-3*z*(z + 1)**3/4
Factor -2/9*h**3 + 8/9*h**2 + 0 - 8/9*h.
-2*h*(h - 2)**2/9
Let z(g) be the first derivative of 0*g + g**3 + 3*g**2 - 1 - 3/4*g**4. Factor z(l).
-3*l*(l - 2)*(l + 1)
Let u(m) be the third derivative of -m**8/12 - 8*m**7/35 + 11*m**6/30 + 4*m**5/5 - 2*m**4/3 + 5*m**2. Find d, given that u(d) = 0.
-2, -1, 0, 2/7, 1
Factor 34 - 4*b**4 + 10*b**3 - 8*b**2 - 34 + 2*b.
-2*b*(b - 1)**2*(2*b - 1)
Suppose 0 = -0*o + 4*o - 12. Solve -8 + 10*w**3 + o*w**2 - 4*w + 6*w**2 - 13*w**3 + w**2 = 0.
-2/3, 2
Suppose 5*u = 35*x - 36*x + 16, -5*u - 4*x + 4 = 0. What is f in -1/2*f**u + 1/2*f**3 + f**2 - 1/4*f**5 - 1/4*f - 1/2 = 0?
-2, -1, 1
Let f = 21/20 + -53/60. Let f*p**5 - 10/3*p + 4/3 + 7/3*p**2 + 1/6*p**3 - 2/3*p**4 = 0. What is p?
-2, 1, 2
Let u(a) = -11*a**2 + 4*a + 46. Let o(t) = -23*t**2 + 7*t + 93. Let x(s) = 6*o(s) - 13*u(s). Determine z, given that x(z) = 0.
-2, 4
Let x(t) = t**2 + 5*t - 4. Let h be x(-6). Factor s + s**3 - s - 1 + 3*s - 3*s**h + 0*s**2.
(s - 1)**3
Factor 14*v - 4 - 7*v**2 - 15/2*v**3.
-(v + 2)*(3*v - 2)*(5*v - 2)/2
Let d(x) = -x**3 - x**2 - 1. Let o(k) = k**3 + 12*k**2 - 3*k + 2. Suppose -2*j - 1 = 1. Let y(p) = j*o(p) - 4*d(p). Let y(q) = 0. Calculate q.
-1/3, 1, 2
Let p(s) be the third derivative of s**6/420 - s**5/70 + 4*s**3/21 - 12*s**2. Factor p(k).
2*(k - 2)**2*(k + 1)/7
Let y(z) be the third derivative of -z**8/1344 + z**7/420 - z**5/120 + z**4/96 + 10*z**2. Let y(w) = 0. Calculate w.
-1, 0, 1
Let i(s) = -3*s**2 + 6*s - 5. Let b(x) = -x**2 + 3*x - 2. Let h(t) = -5*b(t) + 2*i(t). Let n(v) = 5*v**2 + 16*v. Let q(f) = -11*h(f) - 2*n(f). Factor q(c).
c*(c + 1)
Factor 3/4*i + 0 + 21/8*i**2 + 27/8*i**3 + 3/8*i**5 + 15/8*i**4.
3*i*(i + 1)**3*(i + 2)/8
Let q = 7 - 7. Let m be q - (13/(-4) + 3). Factor 0*d + 0 + 1/4*d**4 + 0*d**2 + m*d**3.
d**3*(d + 1)/4
Determine l so that 40 - 84*l + 32 - 4*l**4 + 7*l**3 - 4*l**2 + 13*l**3 = 0.
-2, 1, 3
Let c be 6*(10/9 + -1). Let l(n) be the first derivative of 1/6*n**4 - c*n + 2/9*n**3 - 1 - 1/3*n**2. Find v, given that l(v) = 0.
-1, 1
Let u(o) be the third derivative of -2/75*o**5 + 1/100*o**6 + 0*o + 0*o**3 + 2*o**2 + 1/60*o**4 + 0. Solve u(m) = 0 for m.
0, 1/3, 1
Let b(k) be the third derivative of 0*k + 0 - 2*k**2 + 1/210*k**7 + 0*k**3 - 1/60*k**6 + 1/60*k**5 + 0*k**4. Factor b(f).
f**2*(f - 1)**2
Let c(q) be the first derivative of -1/5*q**5 - 6 + 0*q**2 + 0*q + 1/4*q**4 + 0*q**3. Determine s, given that c(s) = 0.
0, 1
Factor -10/3 + o + 1/3*o**2.
(o - 2)*(o + 5)/3
Let d(s) be the third derivative of 1/24*s**4 + 0*s**3 - 1/30*s**5 + 1/120*s**6 - 2*s**2 + 0 + 0*s. Factor d(a).
a*(a - 1)**2
Let s(j) be the third derivative of 0 - 1/60*j**5 + 1/3*j**3 - 1/24*j**4 + 0*j + 4*j**2. Factor s(z).
-(z - 1)*(z + 2)
Determine n, given that -23*n**2 + 29*n**2 + 2 - 6*n - 14*n**2 = 0.
-1, 1/4
Suppose 3/2*w - 3/2*w**2 + 0 = 0. Calculate w.
0, 1
Let k be (-4)/(-160) + (0 - 0). Let w(d) be the second derivative of k*d**5 + 0*d**4 + 0*d**2 - d + 0 - 1/12*d**3. Factor w(a).
a*(a - 1)*(a + 1)/2
Let y = 5 - 0. Suppose -w = 2*s - 1 - 2, 15 = 5*w + y*s. Solve -f**w + 5 + f**4 - 5 = 0 for f.
0, 1
Factor -1 - 4*u - 7 + 6 - u**2 + 7*u.
-(u - 2)*(u - 1)
Let w(p) = 2*p**4 + 6*p**2 + 3*p. Let a(t) = 2*t**4 - t**3 + 7*t**2 + 4*t. Let x(b) = -5*a(b) + 6*w(b). Solve x(m) = 0 for m.
-2, -1, 0, 1/2
Let a be 60/(-8)*12/(-15). Let z(c) be the third derivative of -c**2 - 1/36*c**4 + 1/90*c**5 - 1/9*c**3 + 0*c + 0 + 1/180*c**a. Factor z(y).
2*(y - 1)*(y + 1)**2/3
Factor 3/2*d**3 - 3/2*d + 1/2*d**4 - 1 + 1/2*d**2.
(d - 1)*(d + 1)**2*(d + 2)/2
Let l be ((-30)/(-180))/((-58)/30 - -2). Suppose 2*s**3 + l*s**2 + 0 + 1/2*s = 0. What is s?
-1, -1/4, 0
What is z in -39/5*z**4 + 21/5*z**3 + 6/5 - 33/5*z + 33/5*z**2 + 12/5*z**5 = 0?
-1, 1/4, 1, 2
Let y(o) = -o**3 + 5*o**2 - 1. Let i(k) = k**3 - 6*k**2. Let h(q) = -2*i(q) - 3*y(q). Let w(c) be the first derivative of h(c). Solve w(l) = 0.
0, 2
Let n be (-2)/1*1 + 1. Let x(f) = -f + 1. Let i be x(n). Factor t**2 + 0*t + 0 + 1 - i*t.
(t - 1)**2
Suppose i**3 - 2*i**4 - 11*i**4 + 5*i**3 + 16*i**4 = 0. Calculate i.
-2, 0
Let n(c) = c**3 + 6*c**2 + 4*c - 1. Let t be n(-5). Suppose -3*k = -2*k. Factor -2/11*m**t + 2/11*m**3 + 0*m**2 + 0 + k*m.
-2*m**3*(m - 1)/11
Let w(o) be the second derivative of o**6/30 - 3*o**5/20 + o**4/4 - o**3/6 - 2*o. Let w(s) = 0. Calculate s.
0, 1
Let l(j) = 5*j**2 + 2*j. Suppose -2*f - 2*n = -20, -f + 14 = -0*n + 5*n. Let b(g) = 9*g**2 + 3*g. Let u(q) = f*l(q) - 4*b(q). Determine t so that u(t) = 0.
-2/3, 0
Suppose 27 + 33 = 3*h. Let i be h/(-70)*14/(-18). Factor 2/9 - i*s - 2/9*s**2 + 2/9*s**3.
2*(s - 1)**2*(s + 1)/9
Let q = -898 - -901. Suppose 1/4 + 3/4*n**2 + 1/4*n**q + 3/4*n = 0. Calculate n.
-1
Suppose -j = 2*j - 6. Suppose 2*x**2 - 4*x**j - 6*x**2 + 4*x**2 + 4 = 0. What is x?
-1, 1
Let b(m) = 7*m**3 - 2*m**2 - m - 4. Let o be (-2)/(-4) - 46/4. Let v(l) = -13*l**3 + 3*l**2 + l + 7. Let y(j) = o*b(j) - 6*v(j). Suppose y(i) = 0. What is i?
-2, -1
Let f = 4 + 6. Solve 3 - 4 - 2*a**4 - 18*a**2 - 4 + 1 - f*a**3 - 14*a = 0.
-2, -1
Let a(n) be the third derivative of -1/45*n**6 + 5/504*n**8 + 1/20*n**5 + 0 + 0*n**3 - 1/36*n**4 + n**2 - 1/70*n**7 + 0*n. Find q such that a(q) = 0.
-1, 0, 2/5, 1/2, 1
Let h(b) be the third derivative of b**6/720 - b**5/240 - b**3/3 + b**2. Let c(y) be the first derivative of h(y). Let c(t) = 0. Calculate t.
0, 1
Let g be 12/7 + 4/14. Let u(h) = -h**3 + 3*h**2 - 2. Let r be u(2). Factor -y**g - y**r - 3*y + y.
-2*y*(y + 1)
Let t be 5/15 + 10/6. Suppose 3*h**2 + h + t*h - 5*h = 0. Calculate h.
0, 2/3
Let f(y) be the first derivative of -y**4/46 + 4*y**3/69 + y**2/23 - 4*y/23 + 35. Factor f(c).
-2*(c - 2)*(c - 1)*(c + 1)/23
Let c(g) be the second derivative of -g**4/12 + 7*g**3/6 - 5*g**2 + 34*g. Find q such that c(q) = 0.
2, 5
Let x(s) = s**3 + s**2 - s - 1. Let o be (-5)/(-4) - 3/12. Let r(h) = -2*h**4 - 8*h**3 - 8*h**2 + 2. Let u(a) = o*r(a) + 2*x(a). Factor u(c).
-2*c*(c + 1)**3
Factor 4*u - 3*u**3 + 2*u**5 - 3*u**3 + 2*u**2 - 2*u**4 + 0*u**2.
2*u*(u - 2)*(u - 1)*(u + 1)**2
Let a(j) be the second derivative of -j**8/3360 - j**7/1260 - j**4/6 + 3*j. Let d(v) be the third derivative of a(v). Factor d(t).
-2*t**2*(t + 1)
Let o(w) be the first derivative of w**3/6 - 9*w**2/16 + w/4 - 1. Determine x so that o(x) = 0.
1/4, 2
Factor 7*o**3 - 9*o**2 - 12 - 18*o**2 - 10*o**3 - 72*o - 36.
-3*(o + 1)*(o + 4)**2
Let n = 52 + -154/3. Factor n*o**2 + 2/3 - 4/3*o.
2*(o - 1)**2/3
Let t(r) = 10*r**3 - 6*r**2 - 10*r + 6. Let d(a) = 9*a**3 - 6*a**2 - 9*a + 6. Let g(j) = -7*d(j) + 6*t(j). Factor g(l).
-3*(l - 2)*(l - 1)*(l + 1)
Let z(l) be the second derivative of -l**5/10 - l**4/6 - 7*l. Factor z(a).
-2*a**2*(a + 1)
Suppose 9 = 5*z - 1. Suppose z*w = 7*w. Find v, given that 2/5*v**2 + w - 2/5*v = 0.
0, 1
Let x(y) be the second derivative of -y**6/150 - y**5/100 + y**4/12 - y**3/10 + 3*y. Factor x(w).
-w*(w - 1)**2*(w + 3)/5
Let i(g) = -g**3 - 17*g - 3. Let h(f) = 8*f + 2. Let l(j) = -5*h(j) - 2*i(j). Let l(u) = 0. Calculate u.
-1, 2
Let 4*p**3 + 2/5 + 2*p**4 + 4*p**2 + 2/5*p**5 + 2*p = 0. What is p?
-1
Let o(a) be the first derivative of a**7/210 + a**6/120 + 3*a**2/2 + 3. Let s(f) be the second derivative of o(f). Solve s(u) = 0 for u.
-1, 0
Let c(t) be the third derivative of -t**8/1680 - t**7/525 - t**6/600 + 5*t**2. Factor c(g).
-g**3*(g + 1)**2/5
Let v(a) be the third derivative of -2*a**7/945 - a**6/135 - a**5/135 - 8*a**2. Factor v(d).
-4*d**2*(d + 1)**2/9
Let b(c) = 32*c**3 - 17*c**2 + 9*c - 9. Let a(f) = -8*f**3 + 4*f**2 - 2*f + 2. Let u(n) = 9*a(n) + 2*b(n). Factor u(p).
-2*p**2*(4*p - 1)
Let q(w) be the 