derivative of -19/2*w**4 + 18*w**3 - 8*w - 8*w**2 + k + 8/5*w**5. Let x(j) = 0. Calculate j.
-1/4, 1, 2
Suppose 27/7*w**3 - 213/7*w**2 + 48/7 + 408/7*w = 0. Calculate w.
-1/9, 4
Factor 1922/17*l + 0 + 2/17*l**3 + 124/17*l**2.
2*l*(l + 31)**2/17
Let x(u) be the second derivative of u**5/80 + u**4/16 - u**3/6 - 3*u**2/2 - u - 9. Let x(o) = 0. Calculate o.
-3, -2, 2
Let i(u) = u**2 + u - 3. Let s be i(-3). What is m in 0*m**2 - 1 + 3/2*m - 1/2*m**s = 0?
-2, 1
Let n(x) be the second derivative of x**6/24 - x**5/12 - 5*x**4/12 + 5*x**2/2 + 5*x. Let z(m) be the first derivative of n(m). Factor z(v).
5*v*(v - 2)*(v + 1)
Let f(m) = -2*m**2 + m. Let p(x) = -15*x**2 - 9*x. Let a(b) = 3*f(b) + p(b). Suppose a(k) = 0. Calculate k.
-2/7, 0
Let r(z) be the third derivative of 1/78*z**5 - 1/52*z**4 - 3/13*z**3 + 23*z**2 - 1/780*z**6 + 0 + 0*z. Let r(p) = 0. What is p?
-1, 3
Let m(b) = b**3 + 28*b**2 + 4*b - 9. Let l(i) = i**3 + 15*i**2 + 2*i - 4. Let o(q) = 7*l(q) - 4*m(q). What is k in o(k) = 0?
-1, 4/3, 2
Let m(y) be the second derivative of y**5/100 + 11*y**4/20 - 4*y - 23. Factor m(j).
j**2*(j + 33)/5
Suppose 2591*u + 27 = 2600*u. Factor 0*q - 8/3*q**u + 0 + 1/3*q**4 + 16/3*q**2.
q**2*(q - 4)**2/3
Let l(o) = -23*o + 278. Let r be l(12). Let a(u) be the third derivative of 0*u + 1/1260*u**7 + 0*u**5 + 0*u**3 - 1/360*u**6 + 0*u**4 + 0 - u**r. Factor a(d).
d**3*(d - 2)/6
Let v be (-15)/25*3/(-9). Let k(a) be the second derivative of 0 + 2*a**2 + 2*a**3 + 5*a + v*a**5 + a**4. Find l such that k(l) = 0.
-1
Let h(r) be the second derivative of -1/15*r**6 - 3/110*r**5 + 0 + 0*r**3 + 0*r**4 + 0*r**2 + 4/231*r**7 + 14*r. Suppose h(d) = 0. Calculate d.
-1/4, 0, 3
Find y such that 1/2*y**2 + 7 - 15/2*y = 0.
1, 14
Let g(m) be the first derivative of -m**5/90 - 5*m**4/36 - 21*m**2/2 - 16. Let k(h) be the second derivative of g(h). Factor k(n).
-2*n*(n + 5)/3
Let c(i) be the first derivative of -70*i**6/3 + 99*i**5 + 675*i**4/4 - 2225*i**3/3 - 1635*i**2/2 + 630*i + 391. Let c(r) = 0. What is r?
-7/4, -1, 2/7, 3
Let l(d) be the first derivative of 5*d**4 - 5*d**3 - 10*d**2 + 15*d - 83. Determine s, given that l(s) = 0.
-1, 3/4, 1
Factor -144/7 + 2/7*s**3 + 152/7*s - 44/7*s**2.
2*(s - 18)*(s - 2)**2/7
Let d(j) = j**3 - j**2 - j. Let z(x) = -7*x**3 + 20*x**2 + 8*x. Let u(h) = -40*d(h) - 5*z(h). Factor u(b).
-5*b**2*(b + 12)
Let v(g) be the first derivative of -4*g**3/21 - 40*g**2/7 - 144*g/7 + 114. Solve v(c) = 0 for c.
-18, -2
Factor -3/4*d**4 - 3/4*d**2 - 9/2*d + 0 + 3*d**3.
-3*d*(d - 3)*(d - 2)*(d + 1)/4
Determine w so that 2/5*w**2 - 2/5*w**4 + 0*w + 2/5*w**3 - 2/5*w**5 + 0 = 0.
-1, 0, 1
Suppose 0 = -2*k + 3*a + 10, -3*k + a = -k - 10. Suppose k*i + 18*i = 0. Factor 0 + 1/5*v**5 + 0*v**3 + 1/5*v**4 + i*v**2 + 0*v.
v**4*(v + 1)/5
Determine g so that 11/8 + 9/8*g**2 + 1/8*g**3 - 21/8*g = 0.
-11, 1
Let c(j) be the third derivative of -j**6/2520 - j**5/210 - j**4/56 - 5*j**3/6 + 13*j**2. Let l(m) be the first derivative of c(m). Find z such that l(z) = 0.
-3, -1
Let d(q) = -10*q**2 + 55*q - 65. Let b(l) = -9*l**2 + 55*l - 62. Let v(j) = 5*b(j) - 4*d(j). Find o, given that v(o) = 0.
1, 10
Let d(b) = b**2. Let w(t) = -2*t + 17. Let r be w(7). Let u(v) = -7*v**2 + 2*v - 2 + v - 2 + r. Let f(s) = 15*d(s) + 3*u(s). Suppose f(a) = 0. Calculate a.
1/2, 1
Let j(z) = -z**2 + 70*z - 546. Let d be j(9). Let l(u) be the second derivative of 0 + u**d + 0*u**2 + 8*u + 1/6*u**4. Find v such that l(v) = 0.
-3, 0
Let h(t) be the first derivative of 0*t**3 - 3/4*t**4 + 0*t - 10 + 0*t**2 - 9/5*t**5. Factor h(p).
-3*p**3*(3*p + 1)
Suppose 0 = 5*i - 5*l - 35, -5*i - 4*l = -2 + 12. Factor 3*u**2 + 0*u**2 + 2*u - 276 + 268 - 2*u**i.
(u - 2)*(u + 4)
Let q(u) be the second derivative of u**8/1680 - 13*u**7/4200 + u**6/450 + u**5/150 + 3*u**3 + 22*u. Let y(j) be the second derivative of q(j). Factor y(h).
h*(h - 2)*(h - 1)*(5*h + 2)/5
Let n(z) be the third derivative of z**5/240 + z**4/96 - z**3/4 - 145*z**2. Determine h so that n(h) = 0.
-3, 2
Let m be (-2)/5 + 0 + 136/40. Suppose 111*f**3 - 69*f**3 + f + 34*f**2 + m*f = 0. Calculate f.
-2/3, -1/7, 0
Factor -11*f**2 - 12*f**4 + 5*f**3 + 11*f**3 - 13*f**2 - 8*f + 28*f**2.
-4*f*(f - 1)**2*(3*f + 2)
Let g(l) be the first derivative of l**6/4 + 17*l**5/10 - 39*l**4/4 + 17*l**3 - 53*l**2/4 + 9*l/2 - 5. Determine a, given that g(a) = 0.
-9, 1/3, 1
Suppose 0 = -z + 4*k - 218 + 256, -z + 6*k = -56. Factor 33/2*m + 9/2*m**z - 6.
3*(m + 4)*(3*m - 1)/2
Let f(a) be the second derivative of -5*a**4/12 - 50*a**3/3 + 110*a**2 + 74*a. Determine g so that f(g) = 0.
-22, 2
Let y(l) = 11*l + 4. Let x be y(6). Let n = x - 208/3. Solve 2/3 - 4/3*r + n*r**2 = 0.
1
Suppose -2*f - 2*c = 4, 2*c = -2*f - c - 8. Suppose 30 = 21*h - 15*h. Factor -f*k**2 - k**5 + k - 5*k**4 - h*k**4 + 12*k**4.
-k*(k - 1)**3*(k + 1)
Let a be 3/(-4) + 18*18/240. Determine p so that 3/5 - 3/5*p**2 - a*p + 3/5*p**3 = 0.
-1, 1
Let d(c) = 4*c**2 - 2*c. Let m(n) = -9*n**2 + 5*n. Let b(o) = -7*d(o) - 3*m(o). Let y(s) = 8*s**2 + 17*s - 16. Let p(k) = -18*b(k) - 2*y(k). Factor p(r).
2*(r - 4)**2
Let a = 33 - 158/5. Let v = 6 + -6. Determine j, given that 9/5*j + 3*j**2 + v + a*j**3 + 1/5*j**4 = 0.
-3, -1, 0
Suppose 0*s = -s + 2. Suppose -11 = 26*t - 11. Let 5*f + 1 - 3*f**2 + 2 - s*f + t - 3*f**3 = 0. Calculate f.
-1, 1
Let a(q) be the first derivative of 0*q**3 + 0*q - 1/5*q**4 + 0*q**2 - 2/25*q**5 + 13. Factor a(v).
-2*v**3*(v + 2)/5
Let z(i) be the second derivative of -1/90*i**6 + 1/9*i**3 + 1/6*i**2 + 11*i + 0 - 1/30*i**5 + 0*i**4. Factor z(k).
-(k - 1)*(k + 1)**3/3
Let v(j) = j**2 - 1. Let r(w) = -2*w**2 - 3*w - 1. Let o(p) = r(p) - 3*v(p). Suppose o(s) = 0. What is s?
-1, 2/5
Suppose -8 = -8*q + 6*q. Factor -q*c**3 - 54*c**2 + c**3 + c - 648 - 325*c.
-3*(c + 6)**3
Factor -2*p - 7/4 - 1/4*p**2.
-(p + 1)*(p + 7)/4
Suppose 5*q - 5*d + 6*d = -3, -2*d - 6 = q. Let -2*c - 5*c + q*c + 2*c**2 - 3*c = 0. Calculate c.
0, 5
Let c(u) = 3*u. Let f be c(2). Suppose -6 = -9*w + f*w. Suppose -4*l**2 + 12*l - w*l**2 - 19 + 1 + 4*l**2 = 0. Calculate l.
3
Let t = -5771711/56145 + 1/11229. Let n = -498/5 - t. Factor -9/5 + 3*p - n*p**3 + 8/5*p**2.
-(p + 1)*(4*p - 3)**2/5
Let g(b) = -b + 3. Let k(r) = -1. Let u(t) = g(t) - 2*k(t). Let w be u(5). Factor 4/5*y + 6/5*y**2 + w + 2/5*y**3.
2*y*(y + 1)*(y + 2)/5
Let f(w) be the first derivative of w**3/15 + 42*w**2/5 + 1764*w/5 - 115. Factor f(z).
(z + 42)**2/5
Let p(z) be the second derivative of 1/4*z**5 + 0 + 5/12*z**4 + 13/2*z**2 + 1/24*z**6 + 0*z**3 - 8*z. Let a(w) be the first derivative of p(w). Factor a(d).
5*d*(d + 1)*(d + 2)
Let a(v) = 5*v**3 - 7*v**2 - 21*v - 15. Let q(p) be the first derivative of p**4 - 7*p**3/3 - 10*p**2 - 14*p - 12. Let b(h) = -5*a(h) + 6*q(h). Factor b(t).
-(t + 1)*(t + 3)**2
Let f(r) = 2*r**2 + 2*r + 1. Let s(q) = -q**4 + 2*q**3 - 5*q**2 - 8*q - 6. Let p(z) = 6*f(z) + s(z). Let p(l) = 0. What is l?
-1, 0, 4
Factor 1176/13*c**2 - 230496/13*c + 15059072/13 - 2/13*c**3.
-2*(c - 196)**3/13
Let p(h) = 2*h**4 + 18*h**3 - 42*h**2 + 25*h. Let n(v) = 3*v**4 + 17*v**3 - 43*v**2 + 25*v. Let w(r) = -3*n(r) + 2*p(r). Let w(b) = 0. What is b?
-5, 0, 1
Let i be (-9*(-40)/(-12))/4 - -8. Let -4 - 3*g**2 + i*g**3 + 6*g = 0. What is g?
2
Let c = -1698 + 1700. Factor 2/5 - 1/5*d**3 + 1/5*d - 2/5*d**c.
-(d - 1)*(d + 1)*(d + 2)/5
Determine p, given that -2/3*p**2 - 1/3*p**3 + 0*p + 0 = 0.
-2, 0
Let u(l) be the first derivative of -1/17*l**2 + 1/102*l**4 + 1/51*l**3 + 4*l - 1/170*l**5 + 10. Let f(z) be the first derivative of u(z). Factor f(y).
-2*(y - 1)**2*(y + 1)/17
Factor -12*z + 0 - 2/5*z**2.
-2*z*(z + 30)/5
Let o(r) be the second derivative of r**2 + 1/54*r**4 + 7*r + 2/9*r**3 + 0. Factor o(i).
2*(i + 3)**2/9
Let p be 15/(-54)*6/(-40). Let y(b) be the third derivative of -1/120*b**6 + 0 + 0*b**5 + 5*b**2 + 0*b**3 + p*b**4 + 0*b. What is n in y(n) = 0?
-1, 0, 1
Let s be (1 + 0)/(4/52). Suppose -21*y + 22 + 27*y**5 - 42*y**2 - 6*y**3 - 12 - s + 45*y**4 = 0. Calculate y.
-1, -1/3, 1
Let a(y) be the second derivative of -1/6*y**4 + 4/3*y**3 - 1/10*y**5 + 0 + 4*y**2 + 13*y. Factor a(x).
-2*(x - 2)*(x + 1)*(x + 2)
Let y be (-2)/5 - (-26)/40. Let w be (-4)/(-4 - (-2 - 0)). Find u, given that -1/4*u**3 + 0 - y*u**w + 1/4*u**5 + 0*u + 1/4*u**4 = 0.
-1, 0, 1