4*g(j). Suppose w(t) = 0. What is t?
0
Suppose -3*n + 5 = -7. Factor 6*g**3 - 1/4*g**2 - n*g**4 - 3/2*g - 1/4.
-(g - 1)**2*(4*g + 1)**2/4
Let r(c) = 2*c**3 + 20*c**2 + 18*c + 11. Let x(v) = -v**3 - 7*v**2 - 6*v - 4. Let l(h) = 4*r(h) + 11*x(h). Factor l(g).
-3*g*(g - 2)*(g + 1)
Let a be 3 + 3/(4 + -7). Let l(s) be the first derivative of a*s**3 + 5/2*s**4 + 0*s - 2*s**2 + 2. Factor l(k).
2*k*(k + 1)*(5*k - 2)
Let i(k) be the second derivative of 8/3*k**3 - 6*k**2 - 1/3*k**4 + 0 - 6*k. Factor i(l).
-4*(l - 3)*(l - 1)
Let o be (-6)/(-4)*24/9. Find k, given that 0 - 1 - 1 - o*k**2 + 5*k**2 + k = 0.
-2, 1
Let t(k) be the first derivative of -k**4/26 - 2*k**3/39 + 6. Factor t(v).
-2*v**2*(v + 1)/13
Let w(g) = 14*g**3 - 78*g**2 + 16*g + 4. Let u(s) = 28*s**3 - 155*s**2 + 33*s + 7. Let z(p) = -4*u(p) + 7*w(p). Factor z(m).
-2*m*(m - 5)*(7*m - 2)
Factor -3*i**4 + 379*i - 2*i**4 + i**5 + 6*i**4 - 377*i - 3*i**3 - i**2.
i*(i - 1)**2*(i + 1)*(i + 2)
Suppose -79*u + 82*u - 12 = 0. Factor -3/7*d**2 + 3/7*d**u + 0 + 3/7*d - 3/7*d**3.
3*d*(d - 1)**2*(d + 1)/7
Let y(l) = 10*l**3 - 2*l**2 - 34*l - 6. Let j(m) = 3*m**3 - m**2 - 11*m - 2. Let z(g) = 16*j(g) - 5*y(g). Factor z(c).
-2*(c + 1)**3
Let t(u) be the third derivative of -u**5/180 + u**4/18 - u**3/6 - 10*u**2. Factor t(k).
-(k - 3)*(k - 1)/3
Let l(v) be the first derivative of 7/6*v**4 + 4/3*v**2 - 8/3*v + 8/3*v**3 + 1/6*v**5 + 3. Factor l(c).
(c + 2)**3*(5*c - 2)/6
Let j(m) = -2*m**2 - 2*m - 4. Let p(q) = q**2 + q + 1. Let d(s) = j(s) + 4*p(s). Factor d(v).
2*v*(v + 1)
Let u(t) be the first derivative of t**5/10 + 17*t**4/24 - 3*t**3/2 + 7*t**2/12 + 26. Solve u(l) = 0 for l.
-7, 0, 1/3, 1
Let h(j) = 3*j**5 + 12*j**4 + 9*j**3 - 12*j**2 + 12*j. Let p(u) = -u**4 - u**3 + u**2 - u. Let r(n) = h(n) + 12*p(n). Find x such that r(x) = 0.
-1, 0, 1
Suppose 3*a + 2*z + 10 = 0, a - 15 = 2*z + z. Factor a*w - 6*w + 4 + 3*w**2 - w**2.
2*(w - 2)*(w - 1)
Let b(l) be the first derivative of -l**3 - 12*l**2 - 48*l + 2. Factor b(h).
-3*(h + 4)**2
Let w(s) be the first derivative of -s**4/24 + s**3/4 - s**2/2 + 3*s + 4. Let g(p) be the first derivative of w(p). Suppose g(t) = 0. What is t?
1, 2
Let a(t) = -t - 7. Suppose f - 4*f - 21 = 0. Let l be a(f). Determine i so that 2/3 - 4/3*i**2 + 2/3*i**4 + 0*i**3 + l*i = 0.
-1, 1
Let c(j) be the first derivative of j**3/2 - 3*j**2/4 + 6. Solve c(g) = 0 for g.
0, 1
Suppose -58/15*y**3 + 8/15 - 2*y**2 - 4/3*y**4 + 16/15*y = 0. What is y?
-2, -1, -2/5, 1/2
Let v = 0 + 5. Let r(j) be the third derivative of 0*j**7 + 0*j**v + 1/96*j**4 - 1/240*j**6 + 0*j**3 + 0*j + 0 - 3*j**2 + 1/1344*j**8. Factor r(s).
s*(s - 1)**2*(s + 1)**2/4
Let d be (7/(-5))/((-4)/20). Let b(m) be the third derivative of 0*m**3 + 0*m - 1/840*m**d + 0 - 1/240*m**5 + 2*m**2 + 1/240*m**6 + 0*m**4. Factor b(a).
-a**2*(a - 1)**2/4
Suppose -5*m = 8*z - 3*z - 50, -4*m = z - 19. What is o in 3*o**3 + 10*o**2 - 3 + 14*o - o**3 + z + 2 = 0?
-3, -1
Let i = 2 - 2. Suppose -4*x + 5*x - 3 = i. Factor n**2 - 6*n**x - 6*n**2 - 2*n - n**2 - 2*n**4.
-2*n*(n + 1)**3
Suppose -15*i + 2*n = -12*i - 14, 4*n + 26 = 5*i. Determine u so that 0 + 1/3*u**i - 7/6*u**4 + 0*u - 5/6*u**3 = 0.
-1, 0, 2/7
Factor -7*p + 67*p - 15*p**3 + 40 - 228*p**2 + 218*p**2.
-5*(p - 2)*(p + 2)*(3*p + 2)
Let d(b) = -b + 1. Let q be d(-2). Let y be 0 + 2/2 + 1. Factor 0*v + 0*v**y + 0 - v**q - 1/2*v**4.
-v**3*(v + 2)/2
Suppose -i = -1 - 2. Let b = 6 - 4. Let r**3 - r**3 - r**i - r + 2*r**b = 0. Calculate r.
0, 1
Suppose 4*r + 46 = -y, -3*r - 2*y - 39 = -2. Let z = 17 + r. Factor 16*j**2 + 4/3 - 26/3*j - z*j**3.
-2*(j - 2)*(3*j - 1)**2/3
Suppose -7*o + 3*o + 5 = w, 0 = -o - 4*w - 10. Solve 2/3*m + 4/9 - 2/9*m**3 + 0*m**o = 0 for m.
-1, 2
Let y = -4 + 5. Let f = 2 + y. Suppose 4*w**3 - 4*w**f + w**3 = 0. Calculate w.
0
Let d = 22 + -18. Factor -5*w**3 + 0*w**3 + d*w**5 + w**3.
4*w**3*(w - 1)*(w + 1)
Let z be (1/2)/((-124)/16 - -8). Find y such that -2/15*y**3 + 0*y + 8/15 - 2/5*y**z = 0.
-2, 1
Factor -6/5*l**3 + 0*l + 0 - 3/5*l**2 - 3/5*l**4.
-3*l**2*(l + 1)**2/5
Factor -1/5*p + 0 + 1/10*p**2.
p*(p - 2)/10
Suppose 0 = 4*m - 14*m + 30. What is p in 0 + 0*p + 2/5*p**m - 2/5*p**5 - 2/5*p**2 + 2/5*p**4 = 0?
-1, 0, 1
Suppose 0 = -4*c - 2*c + 18. Let u(a) be the second derivative of 1/12*a**4 - 2*a + 1/2*a**c + a**2 + 0. Factor u(j).
(j + 1)*(j + 2)
Let o(w) be the first derivative of -w**5/5 + w**4/2 + w**3/3 - w**2 + 17. Factor o(n).
-n*(n - 2)*(n - 1)*(n + 1)
Let b = -2 - -5. Suppose 2*p = -5*c + 4, 2*c + b*c - 2*p = 16. Factor -4/7 + 2/7*w**c - 2/7*w.
2*(w - 2)*(w + 1)/7
Solve 6*q**2 - 18*q**4 + 8*q**3 - 4*q**3 - 2*q**2 + 10*q**3 = 0 for q.
-2/9, 0, 1
Factor 4/3 + 6*z**2 - 10/3*z**3 + 2/3*z**4 - 14/3*z.
2*(z - 2)*(z - 1)**3/3
Let o(f) = -f**3 + f. Let j(i) = -2*i**4 - 2*i**3 - 2*i**2 + 2*i + 4. Let n(x) = -j(x) + 8*o(x). Solve n(l) = 0.
-1, 1, 2
Let w(a) be the second derivative of -a**9/22680 - a**8/10080 + a**4/2 + 7*a. Let b(h) be the third derivative of w(h). Factor b(f).
-2*f**3*(f + 1)/3
Let m = -41/3 + 14. Factor 1/3*b**3 - 1/3*b**2 + m - 1/3*b.
(b - 1)**2*(b + 1)/3
Let n = 956/225 + -184/25. Let t = -25/9 - n. Determine o so that 7/3*o**2 - 2/3 + t*o - 2*o**3 = 0.
-1/2, 2/3, 1
Let b(w) = -19*w**4 + 7*w**3 + 3. Let r(z) = 18*z**4 - 6*z**3 - 2. Let h(l) = 2*b(l) + 3*r(l). Suppose h(d) = 0. What is d?
0, 1/4
Let a be 2/(-6)*(-11 + 5). Factor 34/3*w**4 + 8/3*w**5 + 44/3*w**a + 2/3 + 56/3*w**3 + 16/3*w.
2*(w + 1)**4*(4*w + 1)/3
Let q(k) = 7*k**5 - 4*k**5 + 13*k**4 + 7*k**2 + 3*k**3 + 0*k - 7*k. Let n(p) = p**5 + 4*p**4 + p**3 + 2*p**2 - 2*p. Let b(u) = 7*n(u) - 2*q(u). Factor b(c).
c**3*(c + 1)**2
Let p = 31 + -28. Let h be -4 + 130/18 - p. Let 0 - 4/9*j**2 + h*j + 2/9*j**3 = 0. What is j?
0, 1
Let i = -6641/7 + 949. Let 2/7*m + i*m**2 + 0 = 0. What is m?
-1, 0
Let g(h) be the second derivative of h**7/1260 - h**6/180 + 5*h**4/12 + h. Let a(n) be the third derivative of g(n). What is i in a(i) = 0?
0, 2
Let v(g) = 3*g**4 - 4*g**3 + 3*g**2 - 2. Let a = 10 - 6. Let l(i) = -16*i**4 + 21*i**3 - 16*i**2 + 11. Let x(b) = a*l(b) + 22*v(b). Solve x(q) = 0.
0, 1
Let q be (21/35)/((-2)/(-10)). Let z(v) be the third derivative of 0*v + 0*v**4 - 1/180*v**6 + 1/180*v**5 + 0*v**q + 1/630*v**7 + 3*v**2 + 0. Factor z(i).
i**2*(i - 1)**2/3
Suppose 2 = -z - 4. Let c be (-38)/z + 4/(-12). Let d(b) = -b**4 + b**3 + b. Let o(p) = -5*p**4 + 7*p**3 + 6*p. Let s(l) = c*d(l) - o(l). Solve s(f) = 0.
-1, 0
Let l(p) be the second derivative of 3*p**5/40 - 9*p**4/4 + 27*p**3 - 162*p**2 - 38*p. Determine d so that l(d) = 0.
6
Let s be (18/(-4))/(39/(-104)). Let p be -2 + 2*20/s. Find m, given that 2/3 + p*m + 2/3*m**2 = 0.
-1
Let y(s) be the first derivative of -6/5*s + 2/15*s**3 + 2/5*s**2 - 3. Factor y(d).
2*(d - 1)*(d + 3)/5
Let s = -803/7 - -115. Determine h so that 0 + s*h**2 + 4/7*h**3 + 0*h = 0.
-1/2, 0
Determine g so that 0*g**5 - g**5 - 3*g**2 + g**2 - 2*g + 2*g**4 + 3*g = 0.
-1, 0, 1
Factor -4*o**2 - 3*o + 4*o**3 + 4*o - o.
4*o**2*(o - 1)
Let x(f) = 10 + 6*f - 3*f - 4*f. Let d be x(7). Determine c, given that 3*c**4 - 4*c**4 - 6*c**4 + 2*c**2 + 5*c**d = 0.
-2/7, 0, 1
Let b(c) be the first derivative of c**3 + 9/4*c**4 - 9/2*c**2 + 1 - 6*c + 3/5*c**5. Factor b(n).
3*(n - 1)*(n + 1)**2*(n + 2)
Let x(k) be the second derivative of 2/7*k**2 - 1/42*k**4 - 1/21*k**3 + 0 + k. Factor x(b).
-2*(b - 1)*(b + 2)/7
Let x(c) be the second derivative of -c**6/75 - c**5/25 + 2*c**3/15 + c**2/5 + 2*c + 17. Factor x(t).
-2*(t - 1)*(t + 1)**3/5
Let c(a) be the second derivative of -a**4/78 + 5*a. Factor c(t).
-2*t**2/13
Let r(b) = 10*b**2 + 2*b. Let s be r(-1). Let i = s - 6. Suppose -3/4*k + 0*k**i + 1/2 + 1/4*k**3 = 0. Calculate k.
-2, 1
Let q(l) be the third derivative of l**6/80 - 3*l**4/4 + 4*l**3 - 25*l**2. Factor q(v).
3*(v - 2)**2*(v + 4)/2
Suppose 3*h - 15 = 4*f - f, -3*f + 20 = 4*h. Let j(z) be the second derivative of f + 3*z - 1/2*z**2 - 1/3*z**3 - 1/12*z**4. Find l, given that j(l) = 0.
-1
Let z(j) = 2*j**3 + 2*j - 4. Let b(v) = -v**3 + v. Let k be -4 + -1*(-1 + 1). Let u be (1 - 30/21) + (-8)/14. Let q(g) = k*b(g) + u*z(g). Factor q(s).
2*(s - 1)**2*(s + 2)
Let n(b) be the second derivative of b**7/70 - b**6/40 + 3*b**2/2 - b. Let t(p) be the first derivative of n(p). Factor t(d).