/2*i**4 + 7/3*i**3 - 3*i + 1/2*i**5 + 2*i**2. Factor p(f).
2*(f + 1)**3*(f + 2)
Solve r**5 - 46*r**3 + 3*r**5 + 44*r**4 - 424*r**2 - 196 + 532*r + 86*r**3 = 0.
-7, 1
Let v(g) = -23*g**2 + 5*g + 17. Let o(h) = -4*h**2 + h + 3. Let l(y) = 34*o(y) - 6*v(y). Suppose l(m) = 0. Calculate m.
-2, 0
Let y be ((-1)/(-3))/((-11)/(-957)). Let w = y + -57/2. Solve -1/2*a**4 + 1/2*a**5 - w + a**2 + 1/2*a - a**3 = 0.
-1, 1
Let r(b) = -b**4 - b**3 + b**2 - b + 1. Let d(x) = -3*x**4 - 3*x**2 - 18*x + 18. Let n(h) = d(h) - 6*r(h). Determine g so that n(g) = 0.
-2, 1
Let g(v) be the first derivative of 5*v**3/3 - 15*v**2/2 - 20*v - 33. Solve g(i) = 0 for i.
-1, 4
Let j be (-8)/32 + (-74)/(-8). Suppose -j = -3*p - 0*p. Factor -2*u - 3*u**4 + 0*u**4 - 2*u**p + u**4 + 2*u**2 + 4*u.
-2*u*(u - 1)*(u + 1)**2
Let n be (12 + 1)*(-2)/(-66). Let l = n - -3/11. Find c such that l*c**2 - 2/9*c**3 + 2/9 - 2/3*c = 0.
1
Let o(d) be the third derivative of -1/270*d**5 - 1/540*d**6 + 0*d - 1/9*d**3 + 5/108*d**4 + 0 + 4*d**2. Factor o(u).
-2*(u - 1)**2*(u + 3)/9
Let z(m) = -9*m**4 - 5*m**3 - 5*m**2 - 9*m. Let g(u) = 5*u**4 + 3*u**3 + 3*u**2 + 5*u. Let a(o) = -11*g(o) - 6*z(o). Let a(l) = 0. Calculate l.
-1, 0
Suppose -5*c + 10 = 3*s - 2, -c = -3*s - 6. Suppose 4*h = 7*y - 2*y + 4, 3*h + y - c = 0. Factor 1 + 0*w**2 + 4*w + h + 2*w**2.
2*(w + 1)**2
Let 76/7*s - 4*s**2 + 24/7 = 0. Calculate s.
-2/7, 3
Let l(b) = -15*b**3 - 3*b**2 - 21*b - 9. Let n(w) = -w**3 + w**2. Let v(d) = l(d) - 12*n(d). Factor v(u).
-3*(u + 1)**2*(u + 3)
Let z be -6 + -3 + 19/2. Find q such that -1/2*q**2 + q - z = 0.
1
Let r = -4 - -6. Suppose -1 + 5 - r*y**2 - 4*y - 4 = 0. What is y?
-2, 0
Let d be 2/(-54)*-6 + 48/27. Determine c so that 2/7*c**3 - 2/7 + 6/7*c - 6/7*c**d = 0.
1
Let t(a) be the third derivative of a**8/224 + a**7/28 + 15*a**2. Let t(f) = 0. Calculate f.
-5, 0
Find h, given that 4*h**3 - 18*h + 11*h - 14*h**2 + 3*h + 14*h**4 = 0.
-1, -2/7, 0, 1
Let h be (0 - 86)/((-140)/(-50)). Let s = h - -31. Find y such that -4/7*y + s*y**2 + 0 = 0.
0, 2
Let c(r) be the third derivative of r**8/1680 - r**7/840 - r**6/180 - 5*r**3/6 - 2*r**2. Let o(k) be the first derivative of c(k). Factor o(z).
z**2*(z - 2)*(z + 1)
Let z(d) = -11*d**5 + 15*d**4 - 11*d**3 + 5*d**2 + 2*d + 4. Let s(l) = -l**5 - l**4 + l**3 + l**2 + 1. Let g(x) = -4*s(x) + z(x). Solve g(i) = 0.
-2/7, 0, 1
Let g(i) = -i**2 - 7*i - 3. Let y be g(-6). Let r(d) be the first derivative of -d**y - 3/2*d**2 - 1/4*d**4 - d - 2. Factor r(a).
-(a + 1)**3
Let p(r) be the third derivative of -r**11/166320 + r**9/30240 + r**5/12 - r**2. Let x(h) be the third derivative of p(h). Factor x(j).
-2*j**3*(j - 1)*(j + 1)
Factor 12/7*n - 2 + 2/7*n**2.
2*(n - 1)*(n + 7)/7
Let c(g) be the second derivative of g + 0*g**2 + 0 - 1/10*g**5 - 1/15*g**6 + 1/6*g**4 + 1/3*g**3. Factor c(r).
-2*r*(r - 1)*(r + 1)**2
Let d be 46/(-69) + (-10)/(-6). Suppose -16 + d = -5*v. Let -2/7*b**5 - 12/7*b**v - 2/7*b + 8/7*b**4 + 8/7*b**2 + 0 = 0. Calculate b.
0, 1
Determine x so that 51*x**3 + 0*x + 15 - 56*x**3 - 15*x**2 + 5*x = 0.
-3, -1, 1
Let r(s) = s**2 + 6*s - 4. Let l be r(-7). Factor l*t + 0*t - 9 + 12*t + t**3 - 7*t**2.
(t - 3)**2*(t - 1)
Let y(n) = -3*n - 15. Let k be y(-6). Factor 0*d**4 + 2/3*d**5 + 0*d**2 - 2/3*d**k + 0 + 0*d.
2*d**3*(d - 1)*(d + 1)/3
Let h(d) be the third derivative of d**6/120 + d**5/20 + d**4/12 + 4*d**2. Find x such that h(x) = 0.
-2, -1, 0
Let y(t) be the first derivative of -3/2*t**2 + 1/240*t**5 - 1/12*t**3 + 0*t + 4 - 1/96*t**4. Let p(u) be the second derivative of y(u). Factor p(g).
(g - 2)*(g + 1)/4
Let g(f) be the third derivative of -f**5/60 - f**4/6 + 5*f**3/6 + f**2. Let y be g(-4). Factor y*i - 5*i + 2*i**2 + 4*i.
2*i*(i + 2)
Let r be -5 + 8/2*10/8. Determine z so that r*z - 2/9*z**2 + 8/9 = 0.
-2, 2
Solve 0*f + 0*f**2 - 3/7*f**3 + 0 - 3/7*f**4 = 0 for f.
-1, 0
Let q be (-110)/(-35) - (3 - 1). Find r, given that 32/7*r**2 - 4*r + q - 12/7*r**3 = 0.
2/3, 1
Let d(z) be the third derivative of 0*z + 3*z**2 + 0*z**3 + 1/120*z**5 + 1/48*z**4 + 0. Solve d(g) = 0.
-1, 0
Factor 1/9*t**2 - 2/9*t + 1/9*t**3 + 0.
t*(t - 1)*(t + 2)/9
Let z = -10 - -5. Let p(c) = c + 7. Let v be p(z). Factor 0*h**v + 9*h - 9*h**3 + 6 + 6*h**3 + 0*h**2.
-3*(h - 2)*(h + 1)**2
Suppose -154*u = -157*u. Solve -8/11*o**2 + 8/11*o + u + 2/11*o**3 = 0.
0, 2
Let j(s) be the second derivative of 0*s**3 - 2*s + 0 - 1/60*s**4 + 0*s**2. What is q in j(q) = 0?
0
Suppose 5*x - 2 = 8. Let y be 1*(-2 + 1)*-3. Find h such that -x*h + 3*h**2 - y*h + 6*h = 0.
-1/3, 0
Let y be 4/(-6)*(-1 - 2). Suppose -3*o + 0*o + j = -1, 0 = -5*o + 2*j. Factor o*t**y - 4*t**3 + 0*t**2 + 4*t + 2*t**3.
-2*t*(t - 2)*(t + 1)
Solve -12/5 + 1/5*k**2 + 8/5*k - 1/5*k**3 = 0.
-3, 2
Let x(v) = -v + 5 + 1 - 8 + 0. Let y be x(-2). Factor 3/2*c - 1 + y*c**2 - 1/2*c**3.
-(c - 1)**2*(c + 2)/2
Factor 2*b**2 - b - 2 + b**2 + b**2 - b - 2*b**4 + 4*b**3 - 2*b**5.
-2*(b - 1)**2*(b + 1)**3
Let m(d) be the first derivative of d**4/6 - 7*d**3/18 - d**2/6 - 13. Factor m(q).
q*(q - 2)*(4*q + 1)/6
Let v be ((-3)/10)/(33/(-55)). Factor -v*t**2 + 1/2*t - 1/2*t**3 + 0 + 1/2*t**4.
t*(t - 1)**2*(t + 1)/2
Find u, given that -3*u**2 - 62*u**3 + u + 65*u**3 - u**4 + 0*u**4 = 0.
0, 1
Let n(f) be the first derivative of -f**5/240 + f**4/96 - 5*f**2/2 + 2. Let u(y) be the second derivative of n(y). Factor u(l).
-l*(l - 1)/4
Let k(v) = -v**2 + 5*v + 5. Let y be k(5). Suppose 10 = y*l, 2*o = -3*l + l + 10. Factor 3*t**o + t + 0 + 7/2*t**2.
t*(2*t + 1)*(3*t + 2)/2
Let z = 468/265 + -30/53. Factor 2/5*f**4 - z*f**2 - 8/5*f + 4/5*f**3 + 8/5.
2*(f - 1)**2*(f + 2)**2/5
Let r(l) be the second derivative of -5/12*l**3 + 1/2*l**2 + 0 - 3*l + 1/6*l**4 - 1/40*l**5. Solve r(a) = 0 for a.
1, 2
Let k be 0*(4/(-8))/1. Let s(v) be the third derivative of 0 + 1/12*v**4 + v**2 + k*v + 0*v**5 + 1/210*v**7 - 1/60*v**6 - 1/6*v**3. What is o in s(o) = 0?
-1, 1
Let o be (-86)/(-30) - 3 - 32/(-15). Determine s so that 1/2*s**3 - 1/2 - 1/2*s + 1/2*s**o = 0.
-1, 1
Suppose 2 = 3*f - 4. Let a(k) be the first derivative of 0*k**3 + 0*k**2 - 1/12*k**4 - f + 0*k. Factor a(b).
-b**3/3
Let d(z) be the first derivative of z**5/20 - z**4/3 + 5*z**3/6 - z**2 + 4*z - 1. Let i(j) be the first derivative of d(j). Suppose i(o) = 0. What is o?
1, 2
Suppose -4*y + d = -2*d + 3, -4 = -3*y - 4*d. Let z(o) be the first derivative of 1/10*o**2 + y*o + 4 - 1/15*o**3. Suppose z(a) = 0. What is a?
0, 1
Let l be (-4)/(-30)*(20 + -15). Factor 0 - l*z**4 - 4*z**3 - 6*z**2 + 0*z.
-2*z**2*(z + 3)**2/3
Let m(b) = b - 8. Let w = 2 - -6. Let v be m(w). Factor v*d**2 + 1/3*d + 0 - 2/3*d**3 + 1/3*d**5 + 0*d**4.
d*(d - 1)**2*(d + 1)**2/3
Let n(y) be the first derivative of y**6/63 - 4*y**5/21 - 25*y**4/21 - 160*y**3/63 - 55*y**2/21 - 4*y/3 - 51. Solve n(p) = 0.
-1, 14
Let r(b) be the second derivative of 2*b**6/15 - 2*b**5/5 + b**4/3 - b - 27. Factor r(o).
4*o**2*(o - 1)**2
Let d(t) = t**3 - 4*t**2 + 5*t - 4. Let c be d(3). Let 9*o**3 - 11*o**3 - 2 + c = 0. What is o?
0
Let z(p) be the third derivative of 7*p**5/90 - 61*p**4/36 - 2*p**3 + 29*p**2. Factor z(x).
2*(x - 9)*(7*x + 2)/3
Let s = 3896/5 + -779. Find t such that -s*t + 8/5*t**2 - t**3 - 2/5 = 0.
-2/5, 1
Solve -40/17*y**2 + 10/17*y**4 + 4/17*y**3 + 0 - 16/17*y = 0 for y.
-2, -2/5, 0, 2
Let r be ((-4)/6)/(1/(-6)). Suppose -4*f = r*v - 36, 0*f = 5*f - 5*v + 5. Determine l so that -8*l + 8*l**3 - l**4 - 5*l**4 + f*l**2 + 0*l**2 + 2 = 0.
-1, 1/3, 1
Let f(y) = -4*y**3 + 12*y**5 - 10*y**5 + 3 + 0*y**3 - 1. Let k(n) = 2*n**5 - n**4 - 5*n**3 + n**2 + 3. Let z(t) = -3*f(t) + 2*k(t). Factor z(d).
-2*d**2*(d - 1)*(d + 1)**2
Let t(n) = -n**2 - 21*n + 25. Let f be t(-22). Find u, given that -2/7*u**5 + 0 + 6/7*u**4 - 2/7*u**f + 4/7*u - 6/7*u**2 = 0.
-1, 0, 1, 2
Let v(n) be the first derivative of -5*n**3/3 - 50*n**2 - 500*n - 29. Factor v(z).
-5*(z + 10)**2
Suppose 5 = 3*m - 1. Factor 2/3 + 1/3*k**m + k.
(k + 1)*(k + 2)/3
Let v(h) = 6*h**2 - 8*h + 2. Suppose 3*r = -u - 2*u + 3, 0 = -r + 2*u - 14. Let b(t) = -5*t**2 + 7*t - 2. Let c(y) = r*b(y) - 3*v(y). Solve c(m) = 0 for m.
1
Let a = 13 - 12. Let g(j) be the first derivative of -8*j**3 + 8*j**2 - 2/5*j**5 + 3*j**4 + 0*j + a. Determine n so that g(n) = 0.
0, 2
Let p(l) be the third derivative of -l**6/3