derivative of 1/90*w**5 + 1/9*w**2 + 1/18*w**o + 0 - w + 1/9*w**3. Factor b(i).
2*(i + 1)**3/9
Let 1/2*k + 0 + k**2 + 1/2*k**3 = 0. What is k?
-1, 0
Find a, given that -64/7 + 96/7*a + 4/7*a**3 - 36/7*a**2 = 0.
1, 4
Let x(q) = 5*q**4 - 60*q**3 - 65*q**2 - 35*q - 35. Let l(y) = y**4 - 10*y**3 - 11*y**2 - 6*y - 6. Let k(t) = 35*l(t) - 6*x(t). Find d such that k(d) = 0.
-1, 0
Let z(b) be the second derivative of b**4/6 - 4*b**3/3 - 5*b**2 - 16*b. Solve z(j) = 0 for j.
-1, 5
Let u(q) = -4*q - 2*q - 1 - 2*q + 6*q. Let h be u(-1). Determine c, given that -1 + 8*c**2 + h + 0*c**2 - 2*c = 0.
0, 1/4
Suppose 3 - 27 = -4*c. Suppose 2*x - c = -2. Factor 2*n - 2*n - x*n**3 - 2*n**2.
-2*n**2*(n + 1)
Let t = -102 + 2143/21. Let q(c) be the second derivative of 0*c**2 - c + 0 - t*c**4 - 1/21*c**3 - 1/70*c**5. Determine k, given that q(k) = 0.
-1, 0
Let x = 4 - 4. Let o be -1 - (x + (-2 - -1)). Let z - z + z**2 - z + o*z = 0. What is z?
0, 1
Let i(t) = -t**3 - 7*t**2 - 6*t - 4. Let v(c) = -2*c**3 - 15*c**2 - 13*c - 9. Let m(x) = -9*i(x) + 4*v(x). Factor m(j).
j*(j + 1)*(j + 2)
Factor -2/7 + 2/7*a**2 - 2/7*a**3 + 2/7*a.
-2*(a - 1)**2*(a + 1)/7
Find s such that 13*s**2 + 23*s**2 - 11*s**2 - 10*s = 0.
0, 2/5
Let b(q) be the second derivative of q**7/21 + 7*q**6/60 - q**5/20 - q**4/3 - q**3/6 + q**2/4 + 4*q. Factor b(x).
(x - 1)*(x + 1)**3*(4*x - 1)/2
Let w = 7 + -5. Factor 39*o - 5*o**w - 39*o + 3*o**2 + 2.
-2*(o - 1)*(o + 1)
Let k(n) be the first derivative of -4*n**5/5 + 4*n**4 - 1. What is x in k(x) = 0?
0, 4
Factor 3/4*k**3 - k**2 + 1/2*k**4 - k - 1/4*k**5 + 0.
-k*(k - 2)**2*(k + 1)**2/4
Determine y, given that 0 + 1/4*y + 1/4*y**2 = 0.
-1, 0
Let x be (-2)/16 - 100/64*-2. Solve -x - 3/2*b**2 + 9/2*b = 0 for b.
1, 2
Suppose 5*r - 6 = 9. Let f(x) be the first derivative of -1/2*x**3 - 6*x - 4 - r*x**2. Find l, given that f(l) = 0.
-2
Let v(o) be the first derivative of -o**7/1155 - o**6/330 - o**2 + 1. Let l(f) be the second derivative of v(f). Suppose l(b) = 0. Calculate b.
-2, 0
Let k be 1*((-6)/(-3) + 0). Factor 6*t + 6*t**2 - k*t - 10*t**2.
-4*t*(t - 1)
Let d = 44 + -31. Let u(b) = -4*b**2 + 2*b + 8. Let l(q) = -9*q**2 + 5*q + 17. Let m(v) = d*u(v) - 6*l(v). Solve m(a) = 0 for a.
1
Let s(a) = -a - 10. Let o be s(-13). Let y(c) be the first derivative of 1/2*c - 1/6*c**o + 0*c**2 - 1. Solve y(p) = 0.
-1, 1
Let v(t) be the third derivative of -t**10/30240 - t**9/5040 + t**7/630 + 5*t**4/24 + 2*t**2. Let l(j) be the second derivative of v(j). Factor l(y).
-y**2*(y - 1)*(y + 2)**2
Determine l, given that 4*l**2 - 6*l + 12*l**2 - 4*l**3 + 6*l - 16*l = 0.
0, 2
Let s be (-572)/(-546) - 2/(-7). Factor 0*v + 2/3*v**3 + 10/3*v**5 + 16/3*v**4 + 0 - s*v**2.
2*v**2*(v + 1)**2*(5*v - 2)/3
Let g = 7892/9 - 876. Factor g*b - 8/9*b**3 - 2/9*b**2 + 2/9.
-2*(b - 1)*(b + 1)*(4*b + 1)/9
Let y(b) = 2*b**3 - b**2 - 11*b + 13. Let p be y(1). Determine d, given that -8/11*d + 8/11*d**2 + 6/11*d**p + 0 - 4/11*d**4 - 2/11*d**5 = 0.
-2, 0, 1
Let p(j) be the second derivative of -1/84*j**7 - 1/20*j**5 + 1/4*j**3 + 1/12*j**4 + 1/4*j**2 + 0 - 1/20*j**6 + j. Factor p(m).
-(m - 1)*(m + 1)**4/2
Determine i so that 0 + 3*i**3 + 2*i - i - 4*i + 3 - 3*i**2 = 0.
-1, 1
Let k(q) be the first derivative of q**5/20 - q**4/8 - 4*q**2 - 8. Let a(l) be the second derivative of k(l). Factor a(g).
3*g*(g - 1)
Let b(u) be the second derivative of u**4/45 - u**3/45 + 13*u. Factor b(s).
2*s*(2*s - 1)/15
Let a(l) be the second derivative of -l**5/10 - l**4/6 + l**3/3 + l**2 + 6*l. Factor a(y).
-2*(y - 1)*(y + 1)**2
Factor 2/5*j**2 + 8/5*j + 8/5.
2*(j + 2)**2/5
Let f(g) be the first derivative of -g**6/3 - 2*g**5/5 + g**4 + 4*g**3/3 - g**2 - 2*g - 2. Find x such that f(x) = 0.
-1, 1
Let j(z) be the third derivative of 0*z - 1/20*z**4 - 1/200*z**6 + 0 + 3*z**2 + 0*z**3 + 3/100*z**5. Factor j(v).
-3*v*(v - 2)*(v - 1)/5
Suppose 5*f - 7 - 16 - 5*f**3 - 5*f**2 + 0*f**2 + 28 = 0. What is f?
-1, 1
Suppose 4*c - 19 = 5*i, 3*c + 6 + 3 = -4*i. Let h be c - 0 - (-45)/(-63). Let -4/7*v - 2/7 - h*v**2 = 0. Calculate v.
-1
Let k(l) be the second derivative of 1/14*l**7 - 5/2*l**3 + 0 + 3*l**2 + 1/2*l**4 + 3/5*l**5 - 2/5*l**6 + 2*l. Find p, given that k(p) = 0.
-1, 1, 2
Let q be 2 - (-2 + 300/74). Let p = 31/111 - q. Factor 0 - p*j - 2/3*j**2 - 1/3*j**3.
-j*(j + 1)**2/3
Let i(k) be the first derivative of 2/55*k**5 - 1/22*k**4 - 2/33*k**3 + 1/11*k**2 + 2 + 0*k. Factor i(p).
2*p*(p - 1)**2*(p + 1)/11
Suppose -1/6*s - 2/3*s**4 + 1/6*s**3 + 2/3*s**2 + 0 = 0. What is s?
-1, 0, 1/4, 1
Suppose 2*m - 2*b + 32 - 198 = 0, 0 = -m + 4*b + 95. Let m*d - 3*d**2 - 3*d**3 - 79*d = 0. What is d?
-1, 0
Let x be 2/(-4)*-12*1. Suppose 0 = -w - w + x. Factor -2*l**3 - 3*l**4 + 3*l**3 + l**5 + 2*l**w - l**2.
l**2*(l - 1)**3
Suppose 33 = -6*w + 17*w. Solve -6*m**2 + 1 - 3/2*m - 7/2*m**w = 0.
-1, 2/7
Let i(h) be the third derivative of -h**5/45 + h**4/9 - 2*h**3/9 + 12*h**2. Suppose i(l) = 0. What is l?
1
Factor 26*a**3 + 3*a**4 - 2*a**2 + 5*a**2 - 20*a**3.
3*a**2*(a + 1)**2
Let x be (-4 - 28/(-8))*0. Solve x*r**3 + 4/9*r**2 + 0 + 2/9*r**5 - 2/9*r - 4/9*r**4 = 0 for r.
-1, 0, 1
What is z in 1/3*z**5 - 4/3*z**4 + 0 - 2/3*z**2 + 0*z + 5/3*z**3 = 0?
0, 1, 2
Let r be 15/10 - (3 + -2). Solve 0*g - r*g**2 + 1/4*g**4 + 1/4 + 0*g**3 = 0 for g.
-1, 1
Let a(s) be the second derivative of 3*s**6/20 + 3*s**5/10 - 7*s**4/8 - s**3 + 3*s**2 + 13*s. Find q such that a(q) = 0.
-2, -1, 2/3, 1
Let c be 9/6*8/6. Solve 3*o**4 + 3*o**3 - 3*o**c - 3*o**3 = 0 for o.
-1, 0, 1
Let c = -4 + 6. Suppose -c*m - m = 0. Solve m*t**3 + 0*t + 2/3*t**4 - 4/3*t**2 + 2/3 = 0 for t.
-1, 1
Let a(n) = 3 - 4 + 2*n**2 + n**2 + n - 4*n**2. Let l(y) = 3*y**2 - 2*y + 2. Let o(v) = 2*a(v) + l(v). Factor o(b).
b**2
Let w(b) be the third derivative of -b**6/360 - b**5/60 + 2*b**3/3 + 5*b**2. Let g(h) be the first derivative of w(h). Factor g(s).
-s*(s + 2)
Let i(k) be the third derivative of -k**7/4200 + k**6/3600 - k**4/6 + 3*k**2. Let h(r) be the second derivative of i(r). Factor h(y).
-y*(3*y - 1)/5
Let h(z) be the first derivative of 0*z**2 + 1/3*z**6 + 2/3*z**3 + 0*z - 1/2*z**4 + 1 - 2/5*z**5. Factor h(u).
2*u**2*(u - 1)**2*(u + 1)
Let -9 + 12*j**3 - 3 - 68*j**2 + 64*j + 10*j**3 - 6*j**3 = 0. Calculate j.
1/4, 1, 3
Let x(t) be the first derivative of 1/6*t**4 + 3 + 4/9*t**3 - 3*t + 1/3*t**2. Let y(r) be the first derivative of x(r). Factor y(a).
2*(a + 1)*(3*a + 1)/3
Let g(t) = -t**2 + 8*t - 7. Let o(m) = 6*m + 1. Let a be o(1). Let j be g(a). Find i such that -1/6*i**2 + j - 1/3*i = 0.
-2, 0
Let j be (9/(-12) + 0)*-4. Factor -j*s - 1 + 3*s**3 - 3*s**2 - 3*s**3 - s**3.
-(s + 1)**3
Suppose 0 = y + 38 - 11. Let a be y/(-30) + (-2)/5. Find v, given that a*v + 0 + 3/4*v**2 = 0.
-2/3, 0
Factor -4/9*h**3 + 0 - 2/9*h**4 + 0*h - 2/9*h**2.
-2*h**2*(h + 1)**2/9
Let i(q) = q**2 - 8*q. Let v be 4/(-20) - (-123)/15. Let b be i(v). Determine r, given that -1/3*r**2 + b + 1/3*r**3 + 0*r = 0.
0, 1
Let a be ((-1)/(-2))/((-1)/18). Let h = 20 + a. Factor h*u**3 + 6*u - 2*u**3 + u**3 + 8*u + 18*u**2 + 4 + 2*u**4.
2*(u + 1)**3*(u + 2)
Suppose -5*g + 3 = -3*z, 0*z = z - 4. Find f such that f**g - 1/3*f**4 + 0 + 1/3*f - f**2 = 0.
0, 1
Suppose 6*q = q + 30. Suppose -j + 5*j + k - 51 = 0, -2*k = -j + q. Solve 0*d**4 + j*d - 9*d**4 - 3*d**2 + 8*d**2 - 12*d**3 + 4 = 0.
-1, -2/3, 1
Let d be (3/1 - -2)/4. What is s in s**2 + 1/4 - d*s = 0?
1/4, 1
Let k(x) = -x + 18. Let j be k(14). Find c such that 4/5*c**2 + 0*c - 2/5 - 2/5*c**j + 0*c**3 = 0.
-1, 1
Let f be 70/15*(4 - 1). Suppose -f = -5*q + d - 3*d, 0 = -2*q + 3*d - 2. Solve 3*r**3 + r**4 - 2*r - r**2 - r + 2*r**4 - q*r**2 = 0.
-1, 0, 1
Let d(l) be the third derivative of -1/20*l**4 - 2/15*l**3 + 0*l**5 + 0 + 0*l + 1/300*l**6 + 6*l**2. Factor d(u).
2*(u - 2)*(u + 1)**2/5
Let u(v) be the first derivative of 0*v**2 + 2/3*v**3 + 1/2*v**4 - 2 + 0*v. Suppose u(w) = 0. Calculate w.
-1, 0
Let o(x) = -6*x**3 - 6*x**2 - 4*x + 6. Let m(w) = -1 + 5*w - 37*w**2 + 7*w**3 - 6 + 44*w**2. Let q(h) = 5*m(h) + 6*o(h). Solve q(t) = 0.
-1, 1
Let o(g) be the third derivative of 0 + 1/210*g**5 - 6*g**2 + 1/420*g**6 - 1/84*g**4 + 0*g - 1/21*g**3. Factor o(i).
2*(i - 1)*(i + 1)**2/7
Let b(f) = 3*f**3 + 7*f**2 + 8*f + 4. Let r be (-1 + 0)*(-7 - -5). Let y(t) = -16*t**3 - 36*t**2 - 40