l - 2)*(l + 1)
Let z(b) be the third derivative of -b**8/1680 - b**7/525 + b**5/150 + b**4/120 - 20*b**2. Find c such that z(c) = 0.
-1, 0, 1
Let q(c) = -2*c + 1. Let d be q(-1). Factor 4*n - 2*n + n**2 - 3*n**4 + 9*n**4 + 9*n**2 + 14*n**d.
2*n*(n + 1)**2*(3*n + 1)
Let 4 + 6*k + 3*k**2 - 8 - k**3 + 15*k**3 + 21*k**2 = 0. What is k?
-1, 2/7
Let j(p) = p**3 + 2*p**2 - p. Let s be j(1). Let r(n) be the first derivative of -2/15*n**5 - 4/27*n**3 + 2 + 5/18*n**4 + 0*n**s + 0*n. Factor r(l).
-2*l**2*(l - 1)*(3*l - 2)/9
Suppose -4 - 11 = -5*t. Suppose -t*h = -3*g - 6, 3 = 4*g - 1. Let -2/7*x**h + 0*x + 0 + 2/7*x**2 = 0. What is x?
0, 1
Suppose -5*w = -5, -5*g + 2*w = -5 + 7. Suppose 2/7*z**4 - 2/7*z**3 + 0 + g*z**2 + 0*z = 0. Calculate z.
0, 1
Let m(y) be the second derivative of -8*y**6/45 + 2*y**5/15 + 7*y**4/36 + y**3/18 - 12*y. Find b, given that m(b) = 0.
-1/4, 0, 1
Let u = -1 + 4. Solve -i + 0*i**3 - 3*i**u - 7*i**2 + 3*i**2 = 0.
-1, -1/3, 0
Let a(h) be the first derivative of h**6/9 - 2*h**5/15 - h**4/6 + 2*h**3/9 - 7. What is w in a(w) = 0?
-1, 0, 1
Let q(r) be the second derivative of 5*r**4/12 - 10*r**3/3 + 10*r**2 + 2*r. Solve q(a) = 0 for a.
2
Let g = 205/434 - -6/217. Factor g*b**3 - 1/2*b + 1/2*b**4 + 0 - 1/2*b**2.
b*(b - 1)*(b + 1)**2/2
Let j be -1*-2*(-4)/(-36). Solve 2/9*s - j*s**4 + 4/9*s**2 - 4/9*s**3 + 2/9*s**5 - 2/9 = 0 for s.
-1, 1
Suppose -2/7*d**2 + 4/7*d + 0 - 2/7*d**3 = 0. What is d?
-2, 0, 1
Let a(h) be the third derivative of h**8/112 + h**7/30 - h**6/40 - 11*h**5/60 + 2*h**3/3 - h**2. Let a(p) = 0. What is p?
-2, -1, 2/3, 1
Let w(v) be the second derivative of v**5/30 - v**4/6 - 2*v**2 - 3*v. Let j(u) be the first derivative of w(u). Factor j(o).
2*o*(o - 2)
Find k such that 0 + 0*k - 1/3*k**4 - 4/3*k**2 + 4/3*k**3 = 0.
0, 2
Let j(z) be the third derivative of -z**6/24 + z**5/6 + 5*z**4/24 - 5*z**3/3 + 10*z**2. Determine w, given that j(w) = 0.
-1, 1, 2
Let d(p) be the third derivative of p**8/240 + p**7/35 + 3*p**6/50 + 2*p**5/75 + 3*p**2. Solve d(a) = 0 for a.
-2, -2/7, 0
Let 14*c**2 + 1 + 57*c + 25*c + 27 + 20*c = 0. Calculate c.
-7, -2/7
Let b be ((36/(-21))/(-6))/(3/14). Suppose -b*t + 2/3*t**2 + 2/3 = 0. Calculate t.
1
Let w(p) be the second derivative of -p**4/6 - 26*p**3/3 - 169*p**2 + 26*p. Find c such that w(c) = 0.
-13
Let y(s) = -s + 13. Let r be y(8). Let h(w) be the third derivative of -1/2*w**r + 1/3*w**3 + 2*w**2 + 3/5*w**6 - 1/6*w**4 + 0 + 0*w. Solve h(u) = 0 for u.
-1/4, 1/3
Let i be -8*((-1)/5)/((-18)/(-45)). Let t(k) be the third derivative of 0 + 1/30*k**3 - 1/300*k**5 + 0*k + 0*k**i - 2*k**2. Suppose t(f) = 0. Calculate f.
-1, 1
Let d(g) be the third derivative of g**8/1176 - 4*g**7/735 + g**6/140 - 46*g**2. Solve d(c) = 0.
0, 1, 3
Let -4/9 - 10/9*l**2 + 14/9*l**4 - 2*l**3 + 2*l = 0. Calculate l.
-1, 2/7, 1
Let t be (-3)/(-6) - (1 + (-1 - 0)). Factor -1/2*z**2 - 3/2*z + 3/2*z**3 + t.
(z - 1)*(z + 1)*(3*z - 1)/2
Let w(d) = -14*d**2 + 28*d + 34. Let n(s) = -5*s**2 + 9*s + 11. Let f(v) = 8*n(v) - 3*w(v). Let o(p) = p + 1. Let y(h) = f(h) + 12*o(h). Factor y(k).
2*(k - 1)*(k + 1)
Let m(b) be the second derivative of -b**5/40 - b**4/24 + b**3/12 + b**2/4 + 13*b. Find q such that m(q) = 0.
-1, 1
Suppose 12 = 5*t - 18. Let u = t + -4. Solve u*b + b**2 + b**2 - 3*b**2 = 0 for b.
0, 2
Let s(q) be the second derivative of q**6/135 - 27*q. Factor s(b).
2*b**4/9
Let l(r) be the first derivative of -r**4/24 + r**3/12 - r + 2. Let s(d) be the first derivative of l(d). Factor s(j).
-j*(j - 1)/2
Find y, given that 0 - 6/7*y + 8/7*y**4 + 2/7*y**5 - 8/7*y**2 + 4/7*y**3 = 0.
-3, -1, 0, 1
Factor 36*u - 24 - 27/2*u**2 + 3/2*u**3.
3*(u - 4)**2*(u - 1)/2
Let c(r) be the third derivative of r**6/720 + 7*r**2. What is y in c(y) = 0?
0
Let o(i) be the second derivative of i**4/6 + 5*i**3/12 + i**2/4 + 23*i. Factor o(y).
(y + 1)*(4*y + 1)/2
Suppose 4*d - 9 - 23 = 0. Suppose -3*z + z + 2 = 0. Factor d*n + 139/4*n**3 + 25/4*n**5 - 95/4*n**4 - z - 97/4*n**2.
(n - 1)**3*(5*n - 2)**2/4
Let l be (15/(-240))/((-90)/4). Let d(t) be the third derivative of -l*t**6 + 0 + 1/90*t**5 - 1/9*t**3 + 0*t - 2*t**2 + 1/72*t**4. Solve d(a) = 0 for a.
-1, 1, 2
Let y(a) be the second derivative of -a**5/80 + a**4/12 - a**3/6 - 7*a. Factor y(l).
-l*(l - 2)**2/4
Let d(u) be the third derivative of u**6/160 - u**5/10 + 21*u**4/32 - 9*u**3/4 + 26*u**2. Factor d(k).
3*(k - 3)**2*(k - 2)/4
Let u(z) = 8*z**4 - 8*z**3 - 4*z**2 + 8*z - 8. Let f(m) = 11*m**2 - 22*m**2 - m**4 + 12*m**2 + 1. Let k(g) = 4*f(g) + u(g). Solve k(y) = 0.
-1, 1
Let a(m) be the third derivative of 0 + 0*m**3 + 1/30*m**5 + 1/12*m**4 + 0*m - 8*m**2. Factor a(f).
2*f*(f + 1)
Let x(w) be the second derivative of 0*w**2 - 1/84*w**4 + 0*w**3 - 6*w + 0 + 1/210*w**6 - 1/140*w**5 + 1/294*w**7. Factor x(b).
b**2*(b - 1)*(b + 1)**2/7
Determine f so that 12*f**2 - 9*f**2 + 24*f - 15*f = 0.
-3, 0
Suppose -5*q - 5*m + 27 = 7, 5*m = 5*q - 20. Let j(p) be the third derivative of 0*p**3 - p**2 + 0 + 0*p - 1/480*p**6 + 1/48*p**q - 1/240*p**5. Factor j(r).
-r*(r - 1)*(r + 2)/4
Let s(g) be the second derivative of g**6/60 - g**5/15 + g**4/12 + g**2/2 + g. Let b(h) be the first derivative of s(h). Factor b(l).
2*l*(l - 1)**2
Let y = -1083 - -3277/3. Let x = y - 9. Find h, given that -1/3*h + 1/3*h**3 - 1/3*h**2 + x = 0.
-1, 1
Let a(b) be the first derivative of 1/2*b + 1/12*b**3 - 3/8*b**2 + 6. Find w, given that a(w) = 0.
1, 2
Let d(k) be the second derivative of -5*k**4/12 + 10*k**2 - 18*k. Find u, given that d(u) = 0.
-2, 2
Suppose -5*m + m = 28. Let r(u) = u**3 + 8*u**2 + 6*u - 7. Let f be r(m). Solve -5/2*d**2 + d + f + 3/2*d**3 = 0.
0, 2/3, 1
Let s(p) be the second derivative of p**5/60 + 5*p**4/36 + 4*p**3/9 + 2*p**2/3 - 6*p. Factor s(r).
(r + 1)*(r + 2)**2/3
Factor 0*m**2 + 0 + 0*m - 2/13*m**3.
-2*m**3/13
Let n(t) = 20*t**3 + 45*t**2 + 55*t + 15. Let d(g) = 29*g**3 + 67*g**2 + 82*g + 23. Let f(q) = -5*d(q) + 7*n(q). Factor f(y).
-5*(y + 1)**2*(y + 2)
Let t(z) be the second derivative of z**4/60 + z**3/30 + 6*z. Factor t(r).
r*(r + 1)/5
Determine t so that -2/5*t**3 + 0*t + 0 - 4/15*t**2 - 2/15*t**4 = 0.
-2, -1, 0
Let q(u) = -u. Let v be q(-6). Let g be -2*(-1 - v/(-10)). Let 4/5*j - 1/5*j**2 - g = 0. What is j?
2
Factor 2*y + 0*y**3 + 9*y**3 - 11*y**3.
-2*y*(y - 1)*(y + 1)
Let i be 5 - ((-3 - 4) + 4). Suppose -5*q = -4*l - 30, 4*l - i*l - 10 = 5*q. What is y in -2/3*y**q + 4/3*y - 2/3 = 0?
1
Let p be 0 + 1/(-5) + 2096/655. Suppose 2/3*b - 2/3*b**p + 0*b**2 + 0 = 0. What is b?
-1, 0, 1
Determine r, given that 2*r**4 + 2*r**2 + 7*r**2 - 5*r**4 + 6*r = 0.
-1, 0, 2
Let v = 17 - 17. Let p(b) be the first derivative of 1/6*b**4 + 0*b - 2/9*b**3 - 2 + v*b**2. Factor p(m).
2*m**2*(m - 1)/3
Let k(x) = 10*x**2 + 5*x - 20. Let u(c) = c**2 + c. Let j(i) = k(i) - 5*u(i). Factor j(d).
5*(d - 2)*(d + 2)
Solve 1/6*y**3 + 0 - 1/3*y**2 - 1/2*y = 0 for y.
-1, 0, 3
Let m(k) = 3 + 2 + 2*k**2 - 2*k - 3. Let u(h) be the second derivative of h**4/4 - h**3/2 + 2*h**2 - 3*h. Let b(d) = 5*m(d) - 3*u(d). Factor b(o).
(o - 2)*(o + 1)
Let z be 2/1 + (-3 - -9). Factor -6*n + z*n**2 - 4 - 6*n**2 - 4*n**2.
-2*(n + 1)*(n + 2)
Let h be 91/325 - (-10)/(-125). Suppose -1/5*u**3 - h*u**2 + 1/5 + 1/5*u = 0. Calculate u.
-1, 1
Let w(f) = 9*f**3 - 30*f**2 + 38*f - 8. Let j(t) = 10*t**3 - 30*t**2 + 39*t - 8. Let q(l) = 2*j(l) - 3*w(l). Factor q(z).
-(z - 2)**2*(7*z - 2)
Let u(p) be the second derivative of 4*p**2 + 4/3*p**3 - 3*p + 0 + 1/6*p**4. Factor u(s).
2*(s + 2)**2
Let w(i) be the second derivative of 0 + 3*i**2 + 1/4*i**4 - 2*i + 3/2*i**3. Factor w(y).
3*(y + 1)*(y + 2)
Let j = 14 - 14. Let a(z) be the second derivative of -1/24*z**4 + j - 2*z + 1/6*z**3 - 1/4*z**2. Suppose a(t) = 0. Calculate t.
1
Let u(y) be the third derivative of y**6/180 + 2*y**5/45 + y**4/9 - 17*y**2. Let u(q) = 0. Calculate q.
-2, 0
Let m(c) be the second derivative of c**7/84 + c**6/60 + 10*c. Suppose m(i) = 0. What is i?
-1, 0
Let w(c) be the first derivative of -c**7/840 + c**6/90 - c**5/24 + c**4/12 - 7*c**3/3 + 5. Let s(d) be the third derivative of w(d). What is t in s(t) = 0?
1, 2
Let p = 11 + -8. Suppose 8 = p*k + k. Determine c, given that 3 - 6*c - c**2 - 7 + k*c = 0.
-2
Suppose -4*r + 36 = -4*t - 4, 3*r + 2*t - 5 = 0. Let w(s) be the third d