12/161 - -1747/322. Solve 5/2*c**2 + 1 + y*c = 0.
-2, -1/5
Suppose 2*d - 6 = w, 0 = 2*d - d - 5*w - 3. Factor -1 - 8*g**d + 0*g + 2*g - 6*g**2 + 1.
-2*g*(g + 1)*(4*g - 1)
Let u(g) be the second derivative of -g**7/63 - g**6/15 + g**5/30 + g**4/6 + 5*g. Solve u(r) = 0 for r.
-3, -1, 0, 1
Let r(t) be the third derivative of -t**7/13860 + t**6/1980 - t**4/12 - 3*t**2. Let a(j) be the second derivative of r(j). Find o, given that a(o) = 0.
0, 2
Factor -9/2 - 1/2*c**2 + 3*c.
-(c - 3)**2/2
Let j = -34 + 37. Let d(g) be the first derivative of -1/2*g**2 + 1/3*g**6 + 0*g + 1 - 1/3*g**j + 3/4*g**4 + g**5. Factor d(z).
z*(z + 1)**3*(2*z - 1)
Let q(h) be the second derivative of h**4/30 + 2*h**3/15 - 3*h**2/5 + 25*h. Factor q(d).
2*(d - 1)*(d + 3)/5
Let g be (-2)/(-5*(-9)/((-135)/12)). Factor 3/2 - g*j**2 + j.
-(j - 3)*(j + 1)/2
Let r(w) = w**2 + w + 1. Let s(v) = 8*v - 3 - 2*v + 9 + 8*v**2. Let c(y) = -y**2 + 7*y - 7. Let h be c(6). Let q(z) = h*s(z) + 6*r(z). Factor q(u).
-2*u**2
Let a(o) be the third derivative of -o**6/180 + o**4/9 - 27*o**2. Factor a(i).
-2*i*(i - 2)*(i + 2)/3
Let x = -12 - -12. Suppose -4*b + 2*b = 0. Factor x*g**2 + b*g + 1/4*g**3 + 0.
g**3/4
Let h(z) be the second derivative of z**5/10 + 7*z**4/6 + 8*z**3/3 - 16*z**2 - 9*z. Determine j, given that h(j) = 0.
-4, 1
Solve -9/2*b**4 + b + 9/2*b**2 + 0 + b**3 - 2*b**5 = 0.
-2, -1, -1/4, 0, 1
Suppose 4*h - 3*m - m = 0, -h = 2*m - 12. Suppose -26 = -2*o + h*c, -3*c - 8 = -4*o - 6*c. Factor a**3 - 2*a**2 - o*a**3 - 6*a**4 + 4*a**4.
-2*a**2*(a + 1)**2
Let o(q) be the first derivative of -q**6/30 + 4*q**5/15 - 2*q**4/3 + 4*q**2 + 5. Let u(t) be the second derivative of o(t). Find w such that u(w) = 0.
0, 2
Let f(t) be the second derivative of -1/18*t**4 - 4*t + 0*t**2 - 1/18*t**3 + 0 + 1/126*t**7 + 1/45*t**6 + 0*t**5. Factor f(r).
r*(r - 1)*(r + 1)**3/3
Let r = -1519/9 - -169. Let i(l) be the second derivative of -r*l**3 - 1/10*l**5 + 0*l**2 + 0 - 4*l - 5/18*l**4. Factor i(k).
-2*k*(k + 1)*(3*k + 2)/3
Let q(w) be the first derivative of w**6/160 - w**5/40 + w**4/32 + 7*w**2/2 + 1. Let x(d) be the second derivative of q(d). Suppose x(s) = 0. Calculate s.
0, 1
Let q be 9/15*(-9)/(378/(-30)). Factor 3/7 + 3/7*k - 3/7*k**2 - q*k**3.
-3*(k - 1)*(k + 1)**2/7
Factor 10*g**2 + 40*g - 4*g**3 - 5*g**2 - 6*g**2 - 3*g**2 - 32.
-4*(g - 2)*(g - 1)*(g + 4)
Let l(u) = 16*u**2 + 62*u + 20. Let o(m) = m**2 + m. Let f(i) = -11*i**2 - 27*i - 7. Let p(x) = f(x) + 6*o(x). Let z(n) = -3*l(n) - 8*p(n). Factor z(h).
-2*(h + 2)*(4*h + 1)
Let g(k) be the first derivative of k**3/3 - k**2/2 - 2. Solve g(i) = 0 for i.
0, 1
Let x = -532 + 532. Find n, given that 3/4*n**2 + x - 3/4*n**3 - 3/4*n**4 + 3/4*n = 0.
-1, 0, 1
Let n(y) be the first derivative of -1/6*y**4 - 2/9*y**3 + 1 + 0*y + 0*y**2. Determine r so that n(r) = 0.
-1, 0
Let s be (9/12)/((-3)/(-12)). Let i(c) be the third derivative of 0*c + 0 - 2*c**2 - 1/3*c**s + 1/12*c**5 + 1/8*c**4. Factor i(a).
(a + 1)*(5*a - 2)
Factor -2*r - 3*r**2 - r**3 + r - 1 - 2*r.
-(r + 1)**3
Factor 235*q**2 + 33 + 507*q**2 - 98*q**3 + 23 - 400*q.
-2*(q - 7)*(7*q - 2)**2
Let l(q) = q**2 + 10*q - 11. Suppose k + 5*d = -11, -2*k - 3*d + 2*d = 22. Let s be l(k). Factor s*j - 1/2*j**3 + 0 + 0*j**2 - 1/2*j**4.
-j**3*(j + 1)/2
Factor -2*v + 0*v + 2*v**2 + 14 - 14*v.
2*(v - 7)*(v - 1)
Let v be 1/(7/2 + -3). Suppose 3*j**2 - 9*j - 4*j**2 - 2*j**v = 0. What is j?
-3, 0
Find n such that -3 + 3*n - 2*n**2 - 9*n**2 + 7 + 10*n**2 = 0.
-1, 4
Factor -48/7*t - 18/7 - 44/7*t**2 - 2/7*t**4 - 16/7*t**3.
-2*(t + 1)**2*(t + 3)**2/7
Determine i, given that 0*i**2 - 5/6*i**5 + 0 + 0*i**4 + 5/6*i**3 + 0*i = 0.
-1, 0, 1
Let r = 964/417 - -3/139. Factor 3*n + r*n**2 + 2/3.
(n + 1)*(7*n + 2)/3
Let a = -2/211 + 653/2110. Let u = 1/5 + a. Find l such that 0*l**2 + u*l**3 + 0 - 1/2*l = 0.
-1, 0, 1
Let c = -18 - -20. Let -1 - 3*g - 10*g**2 + 11*g**c - 3 = 0. What is g?
-1, 4
Factor -12/5*o**2 - 147/5*o**5 - 231/5*o**4 + 0 + 0*o - 96/5*o**3.
-3*o**2*(o + 1)*(7*o + 2)**2/5
Let p be (0 + -4 - -4)*1. Let -1/2*a**2 - a + p = 0. Calculate a.
-2, 0
Solve 1/8 + 0*m - 1/8*m**2 = 0 for m.
-1, 1
Let u(l) = 24*l**4 - 7*l**3 - 25*l**2 + 13*l + 4. Let y(c) = 24*c**4 - 8*c**3 - 26*c**2 + 12*c + 4. Let g(b) = -2*u(b) + 3*y(b). Solve g(z) = 0 for z.
-1, -1/4, 2/3, 1
Let j(f) be the second derivative of 3*f**5/4 - 5*f**4/3 - 10*f**3/3 - 3*f. Factor j(s).
5*s*(s - 2)*(3*s + 2)
Factor -6/7*l**4 - 12/7*l**2 + 0 - 4/7*l - 1/7*l**5 - 13/7*l**3.
-l*(l + 1)**2*(l + 2)**2/7
Let c(i) be the third derivative of i**5/90 - 4*i**4/9 + 64*i**3/9 + 30*i**2. Factor c(s).
2*(s - 8)**2/3
Let h(o) be the third derivative of -o**6/4 + 11*o**5/20 + 2*o**4 + 2*o**3 - 7*o**2. Factor h(m).
-3*(m - 2)*(2*m + 1)*(5*m + 2)
Factor 10*d**3 + d + 3*d**3 - 4*d**3 - 4*d**4 - 6*d**2.
-d*(d - 1)**2*(4*d - 1)
Suppose 0 = 4*a - a - 6. Factor -2/3*t + 2/3*t**3 - 4/3*t**a + 4/3.
2*(t - 2)*(t - 1)*(t + 1)/3
Let y(v) = 2 - 2*v**2 - 8*v - v - v**2. Let d(k) = 2*k**2 + 10*k - 2. Suppose -18 = -5*j + 7. Let s(o) = j*y(o) + 4*d(o). Factor s(f).
-(f + 1)*(7*f - 2)
Let z(w) be the first derivative of w**4/10 - 2*w**3/3 + 8*w**2/5 - 8*w/5 + 5. Factor z(o).
2*(o - 2)**2*(o - 1)/5
Let z(a) be the first derivative of -a**4/36 - a**3/9 + 2*a + 3. Let m(v) be the first derivative of z(v). Factor m(c).
-c*(c + 2)/3
Suppose 14 = 2*m - 0*m. Let u be 14/(-2)*(-2)/m. Factor 0 - 6*d**5 + 5*d**5 + 4 + d**u + 8*d - 7*d**3 - 5*d**4.
-(d - 1)*(d + 1)**2*(d + 2)**2
Let t(y) be the third derivative of y**8/60480 - y**7/2520 + y**6/240 - y**5/15 - 3*y**2. Let f(l) be the third derivative of t(l). Factor f(d).
(d - 3)**2/3
Let w = -17 - -37. Let h be (1/(-2))/((-2)/w). Suppose -2 - h*y**4 + 6*y**3 + 6 + 2*y**4 - 1 - 6*y = 0. Calculate y.
-1, 1
Let q be (-15051)/63 + 2/(-3). Let p = -239 - q. Suppose 2/7*v**2 + p*v + 2/7 = 0. Calculate v.
-1
Suppose 3*u + u = 0. Let j(d) be the first derivative of -1/12*d**3 - 3/20*d**5 + u*d + 1/24*d**6 + 0*d**2 + 3/16*d**4 - 2. Factor j(m).
m**2*(m - 1)**3/4
What is b in -10/7*b - 6/7 - 2/7*b**2 + 2/7*b**3 = 0?
-1, 3
Let x(u) = -3*u**2 + 1 - 4*u**2 + 1 + 11*u. Let l(s) = 22*s**2 - 32*s - 6. Let g(o) = -3*l(o) - 8*x(o). Factor g(c).
-2*(c - 1)*(5*c + 1)
Let w(u) = 5*u**3 + 3*u**2 + 3*u + 7. Let f(q) = -3 + q**3 + 4 + q + 0*q**3. Let a be 2 + (-3 - (-1 - -1)). Let o(v) = a*w(v) + 6*f(v). Factor o(h).
(h - 1)**3
Let u(w) = 2*w - 4. Let p be u(4). Suppose 27*l**4 + 3*l**5 - 3*l**3 - 27*l**p = 0. What is l?
-1, 0, 1
Let l(i) be the second derivative of -i**4/9 - 5*i**3/9 - 2*i**2/3 - 11*i. Factor l(q).
-2*(q + 2)*(2*q + 1)/3
Factor 6*v**3 + 24/5*v - 72/5*v**2 + 0.
6*v*(v - 2)*(5*v - 2)/5
Let j(o) be the second derivative of 1/54*o**4 + 2/9*o**2 + 1/9*o**3 + 0 + 5*o. Factor j(t).
2*(t + 1)*(t + 2)/9
Let x(y) = y + 0*y - 2 + 1. Let s be x(4). Factor 3*c + c**2 - 2*c - s*c.
c*(c - 2)
Let p(k) be the second derivative of -k**7/105 + k**6/20 - k**5/30 - k**4/4 + 2*k**3/3 + 5*k**2/2 + k. Let m(y) be the first derivative of p(y). Factor m(d).
-2*(d - 2)*(d - 1)**2*(d + 1)
Let j(t) = -t**4 + 20*t**3 + t**2 - 31*t - 11. Let c(o) = -4*o**3 + 6*o + 2. Let l(y) = 11*c(y) + 2*j(y). What is k in l(k) = 0?
-2, -1, 0, 1
Let h(v) be the second derivative of -v**6/1440 - v**5/120 + v**3/6 - 7*v. Let c(q) be the second derivative of h(q). Factor c(i).
-i*(i + 4)/4
Suppose -3 = -2*a + 7. Let b = a + -2. Factor -1 + 4*c**2 - c + 3*c**b - 3*c**2 - 2*c**3.
(c - 1)*(c + 1)**2
Let u(i) be the second derivative of i**7/105 - i**6/60 - i**5/30 + i**4/12 + 4*i**2 - i. Let x(p) be the first derivative of u(p). Factor x(n).
2*n*(n - 1)**2*(n + 1)
Factor 0*j - j**2 + 2*j**2 - 3*j.
j*(j - 3)
Let r(m) be the third derivative of m**7/2520 - m**6/720 - m**4/4 - 4*m**2. Let w(n) be the second derivative of r(n). Factor w(z).
z*(z - 1)
Let y(v) be the second derivative of 0*v**3 - v**2 + 0*v**4 - 1/420*v**6 + 1/735*v**7 + v + 0 + 0*v**5. Let f(r) be the first derivative of y(r). Factor f(u).
2*u**3*(u - 1)/7
Let q(o) be the second derivative of o**6/30 - o**5/40 - o**4/24 + 32*o. Find v such that q(v) = 0.
-1/2, 0, 1
Let v(u) = -7*u**5 - 2*u**4 + 2*u**3 + 2*u**2 + 5. Let s(z) = 4*z**5 + z**4 - z**3 - z**2 - 3. Let x(g) = -5*s(g) - 3*v(g). Solve x(w) = 0 for w.
-1, 0, 1
Factor 6*a**3 - 4 + 8*a**3 -