e the second derivative of u(w). Factor a(q).
2*q*(q + 1)**2/7
Let f(w) = w**4 - 2*w**3. Let n(t) = 3*t**4 - 7*t**3. Let c(s) = 7*f(s) - 2*n(s). Factor c(v).
v**4
Factor -5*p**2 - 2*p + 3*p - 6*p + 23 - 13.
-5*(p - 1)*(p + 2)
Let x(c) = -c + 15. Let w be x(7). Determine l, given that 48*l**4 + 4*l**2 + w*l**5 + 12*l**3 + 5*l**5 - 12*l**2 + 15*l**5 = 0.
-1, 0, 2/7
Let g = -3454/7 + 496. Solve 12/7*c**3 + 2/7*c**2 + 0*c + 8/7*c**5 + g*c**4 + 0 = 0.
-1, -1/4, 0
Let w(s) be the third derivative of s**7/420 - s**6/60 + s**5/20 - s**4/12 + s**3/12 - 4*s**2. Solve w(h) = 0 for h.
1
Suppose 22*l - 3*l**2 + 3*l**3 + 2*l - 12*l**3 - 12 = 0. What is l?
-2, 2/3, 1
Find x such that -9*x**2 + 3*x**4 - 15/4*x + 3/2 - 3/4*x**3 = 0.
-1, 1/4, 2
Let m(n) = 2*n**4 + 12*n**3 + 34*n**2 + 30*n + 9. Let a(l) = -6*l**4 - 37*l**3 - 103*l**2 - 91*l - 27. Let j(x) = 3*a(x) + 8*m(x). Solve j(p) = 0.
-3, -1, -1/2
Let x = -519/1340 - -36/67. Let z(y) be the second derivative of 1/2*y**3 + 1/4*y**4 - x*y**5 + 0 - 3/2*y**2 - 3*y. Factor z(k).
-3*(k - 1)**2*(k + 1)
Let u(w) be the first derivative of 0*w**4 + w - 2/3*w**3 + 4 + 0*w**2 + 1/5*w**5. Factor u(k).
(k - 1)**2*(k + 1)**2
Factor 41*g - 47*g**2 - 20 + 5*g**3 - 13*g + 12*g + 22*g**2.
5*(g - 2)**2*(g - 1)
Let w(l) be the second derivative of 0 + l - 1/14*l**5 + 2/7*l**2 - 1/21*l**4 + 5/21*l**3. Factor w(k).
-2*(k - 1)*(k + 1)*(5*k + 2)/7
Let x(q) = -q**2 - 7*q - 1. Let c be x(-6). Let r = 9 - c. Factor 0*v**r + 3 + 3*v**4 - 3 - v**5 + v**2 - 3*v**3.
-v**2*(v - 1)**3
Let x be 1/5*(-8166)/6. Let l = x - -273. Factor 0 + 0*c + 0*c**3 + 0*c**2 - l*c**4 - 6/5*c**5.
-2*c**4*(3*c + 2)/5
Let p(j) be the first derivative of -3*j**5/5 - 5*j**4/4 - j**3/3 + j**2/2 - 3. Factor p(u).
-u*(u + 1)**2*(3*u - 1)
Factor 15*b**3 - 68*b**3 - 43*b**2 + 16*b - 18*b**4 - 15*b**3 - 13*b**2.
-2*b*(b + 2)**2*(9*b - 2)
Let y(u) be the third derivative of -u**6/30 + 4*u**5/5 - 6*u**4 + 24*u**2. What is s in y(s) = 0?
0, 6
Let o(v) be the first derivative of v**7/70 - v**6/40 - v**5/20 + v**4/8 + v**2 + 4. Let y(m) be the second derivative of o(m). Factor y(c).
3*c*(c - 1)**2*(c + 1)
Let a be 0 - 3 - 42/(-14). What is n in 2*n**2 - n + a + 2 + 5*n = 0?
-1
Let m(i) be the first derivative of -2/3*i**3 + 2 + 0*i**2 + 0*i - 1/2*i**4. Factor m(s).
-2*s**2*(s + 1)
Let i(r) be the second derivative of -r**5/20 - 7*r**4/36 - 5*r**3/18 - r**2/6 - 2*r. Factor i(j).
-(j + 1)**2*(3*j + 1)/3
Find c such that -55*c**2 - 20*c**2 - 56*c - 35*c**3 + 11*c - 5*c**4 = 0.
-3, -1, 0
Let u(w) = -2*w**3 + 2*w**2 - 3*w + 3. Let m(s) = 12*s**3 - 12*s**2 + 17*s - 17. Let x(q) = -6*m(q) - 34*u(q). Suppose x(r) = 0. Calculate r.
0, 1
Let y(k) be the second derivative of -3*k**5/20 + 5*k**4/4 - 4*k**3 + 6*k**2 + 2*k. Find r, given that y(r) = 0.
1, 2
Suppose 0 = -k - 4*r, 0 = -k - 0*r - r. What is x in -1/4*x**2 + 0 + k*x = 0?
0
Let i be (-104)/13*(-2)/4. Find b, given that 4/7*b**i - 4/7*b**2 + 0 + 2/7*b**3 - 2/7*b = 0.
-1, -1/2, 0, 1
Let k(i) be the third derivative of i**8/42 - 2*i**7/15 + 73*i**6/240 - 43*i**5/120 + 11*i**4/48 - i**3/12 + 10*i**2. Determine d so that k(d) = 0.
1/4, 1
Factor -14*u**2 + 8*u + u + 3*u**3 - u**2 + 3*u**4.
3*u*(u - 1)**2*(u + 3)
Let b(t) be the third derivative of t**8/3360 - t**7/315 + t**6/72 - t**5/30 + t**4/8 + 5*t**2. Let y(u) be the second derivative of b(u). Factor y(m).
2*(m - 2)*(m - 1)**2
Suppose 0 = -d - d - 3*a + 14, -5*d + 73 = -2*a. Factor d*h**2 - 13*h**2 - h**4.
-h**4
Let c(v) be the second derivative of v**6/120 - v**4/48 - 2*v. What is n in c(n) = 0?
-1, 0, 1
Let v(m) = 15*m**2 + 25*m. Let n(k) = -2*k**2 - 3*k. Let o(h) = -25*n(h) - 3*v(h). Determine c, given that o(c) = 0.
0
Let o = -1/6462 + 8977/12924. Let f = o + -4/9. Factor -c**3 + 3/2*c**2 + f + 1/4*c**4 - c.
(c - 1)**4/4
Suppose 34*d = -32*d + 198. Determine l, given that 32/3 - 24*l**d + 128/3*l + 128/3*l**2 - 18*l**5 - 54*l**4 = 0.
-2, -2/3, 1
Let q(c) be the first derivative of -1/25*c**5 + 0*c**2 - 1/5*c + 2 + 0*c**4 + 2/15*c**3. Factor q(a).
-(a - 1)**2*(a + 1)**2/5
Let i be (-45)/26*8/3. Let t = i + 566/117. Factor 2/9*d**2 + 0 + t*d.
2*d*(d + 1)/9
Let g(q) be the first derivative of q**4/18 + 2*q**3/9 + 8*q + 7. Let k(w) be the first derivative of g(w). Factor k(p).
2*p*(p + 2)/3
Let -1/5 + 1/5*d - 1/5*d**3 + 1/5*d**2 = 0. Calculate d.
-1, 1
Suppose -8 = -4*h + l, -2*h + 4 = -4*l - 0*l. Suppose -7 = 3*p - 22. Factor 0 - 6/5*d**4 + 0*d + 2/5*d**p - 2/5*d**h + 6/5*d**3.
2*d**2*(d - 1)**3/5
Let y(x) be the first derivative of x**4/16 - x**3/12 - x**2/4 - 46. Suppose y(b) = 0. Calculate b.
-1, 0, 2
Suppose 0 = 4*z - 2*z. Suppose -2*k - 3*k + 20 = z. Determine c, given that 4*c**k - 3*c**4 - 3*c**4 + 2*c**2 = 0.
-1, 0, 1
Let y(c) be the first derivative of c**3/15 + c**2/10 - 2*c/5 - 24. Let y(i) = 0. What is i?
-2, 1
Let t(k) = -8*k**2 - 2*k + 2. Let m(w) = 18*w**2 + 5*w - 3. Let n(c) = -2*m(c) - 5*t(c). Solve n(a) = 0 for a.
-1, 1
Let c(m) be the first derivative of m**6/360 + m**5/180 - m**4/72 - m**3/18 + 3*m**2/2 + 1. Let i(v) be the second derivative of c(v). Factor i(u).
(u - 1)*(u + 1)**2/3
Let v(k) be the second derivative of -k**2 - k - 1/2*k**4 + 1/10*k**5 + k**3 + 0. Solve v(l) = 0.
1
Let b = 31 - 27. Let k(n) be the third derivative of 1/24*n**b + 1/60*n**5 - n**2 + 0 - 1/3*n**3 + 0*n. Factor k(v).
(v - 1)*(v + 2)
Let h(f) = f**5 + 3*f**4 - 3*f**3 - 3*f**2 + 2*f + 2. Let m(v) = -8*v**5 - 26*v**4 + 23*v**3 + 24*v**2 - 17*v - 17. Let b(k) = -51*h(k) - 6*m(k). Factor b(x).
-3*x**2*(x - 3)*(x + 1)**2
Let y(w) be the first derivative of -w**2 - w - 10. Let v be y(-3). Factor 0 + 1/3*q**2 + 1/3*q**v + 0*q - 1/3*q**3 - 1/3*q**4.
q**2*(q - 1)**2*(q + 1)/3
Determine x, given that -9*x**2 + 6*x + 3*x**4 + 93*x**3 - 93*x**3 = 0.
-2, 0, 1
Let w(q) be the third derivative of 7/60*q**6 + 0*q + 0 + 1/21*q**7 - 2/3*q**3 + q**2 - 7/12*q**4 - 1/10*q**5. What is p in w(p) = 0?
-1, -2/5, 1
Suppose 0*k = -3*k + 15. Suppose 0 = k*n - 6*n. Factor n*v + 1/2*v**2 - 1/2.
(v - 1)*(v + 1)/2
Let b(y) = 2*y + 12. Suppose -q = 4*q + 25. Let v be b(q). Determine n so that -n - 1 - 1/4*n**v = 0.
-2
Let l(k) = -24*k**2 - 13*k + 11. Let u = 25 - 32. Let p(n) = -36*n**2 - 20*n + 16. Let h(m) = u*l(m) + 5*p(m). Factor h(g).
-3*(g + 1)*(4*g - 1)
Suppose 20 = 84*g - 79*g. Let s(m) be the third derivative of -1/20*m**5 + 0*m + 0*m**3 - 1/40*m**6 - 1/24*m**g + m**2 - 1/210*m**7 + 0. Factor s(i).
-i*(i + 1)**3
Let r(c) be the third derivative of -1/32*c**4 + 0 - 1/120*c**5 + 3*c**2 - 1/24*c**3 + 0*c. Find l, given that r(l) = 0.
-1, -1/2
Suppose -5*n - 5*h = -40, -2*h + h = -4*n + 7. Let a be (n + (2 - 4))*3. Solve 0 - 2/5*u - 1/5*u**2 + 1/5*u**a = 0.
-1, 0, 2
Let x(t) be the third derivative of -1/4*t**4 + 0*t**7 + t**2 - 1/15*t**5 + 1/15*t**6 + 0 - 1/168*t**8 + 2/3*t**3 + 0*t. Factor x(l).
-2*(l - 1)**3*(l + 1)*(l + 2)
Let w be (0 + 3)*1 + 1. Let y(j) be the first derivative of 3 - 2/3*j**3 + 2*j**2 + 0*j - 1/2*j**w. Suppose y(l) = 0. What is l?
-2, 0, 1
Let j(k) = 95*k**2 + k + 1. Let c be j(-1). Let -95*a**2 - 5*a**4 + 3*a**4 + c*a**2 - 2*a**3 = 0. What is a?
-1, 0
Let m(v) be the second derivative of v + 0 - 1/18*v**3 + 1/60*v**5 + 1/18*v**4 - 1/3*v**2. Factor m(n).
(n - 1)*(n + 1)*(n + 2)/3
Let h = -45 + 51. Let z(v) be the first derivative of 1/2*v**h + 0*v**2 - 3 + 3/4*v**4 + 0*v**3 + 0*v - 6/5*v**5. Solve z(x) = 0 for x.
0, 1
Suppose 10*d + 2*d = 0. Find f, given that d - 2/5*f - 2/5*f**3 + 4/5*f**2 = 0.
0, 1
Let x(t) = t**2 - 7*t + 6. Let w be x(6). Suppose 0*c = -c + 6. Determine v so that w*v + c*v**3 + v - 4*v - 3*v**5 = 0.
-1, 0, 1
Let h = 49 - 49. Let f(q) = 2*q - 4. Let r be f(2). Find a, given that -1/4*a**5 + h*a**4 + 1/2*a**3 - 1/4*a + r + 0*a**2 = 0.
-1, 0, 1
Let t(j) be the third derivative of -j**6/60 + 2*j**5/15 - j**4/3 + 23*j**2. Suppose t(z) = 0. What is z?
0, 2
Suppose -5*f + 8 + 7 = 0. Let i = -6 - -8. Find u, given that 0 + 1/2*u**f + 1/2*u**i - u = 0.
-2, 0, 1
Let b(i) = -i**3 + 11*i**2 - 8*i + 6. Let x be b(6). Let j = x + -682/5. Solve 2/5*d - j*d**2 - 4/5*d**3 + 2/5*d**5 + 4/5 + 4/5*d**4 = 0 for d.
-2, -1, 1
Let i(v) be the second derivative of -1/21*v**7 + 1/5*v**6 + 0*v**2 - 3/10*v**5 + 1/6*v**4 + 0*v**3 + 0 - 8*v. Find b, given that i(b) = 0.
0, 1
Let l(j) 