+ 1. Factor 1/2*k - g*k**2 - 2*k**4 + 0 + 3*k**3 + 1/2*k**5.
k*(k - 1)**4/2
Let s(g) be the third derivative of g**8/840 - g**6/20 - g**5/15 + g**4 + 24*g**3/5 + 17*g**2. What is b in s(b) = 0?
-2, 3
Let i = 2 + 1. Suppose -4*w = -w - i. Factor u**4 + w + 0*u**2 + 0*u**2 - 2*u**2.
(u - 1)**2*(u + 1)**2
Let r = 16 - 8. Let k be (-2)/r - 21/(-4). Factor -13*p**5 - k*p**5 - 44*p**3 + 0*p + 48*p**4 + 16*p**2 - 2*p.
-2*p*(p - 1)**2*(3*p - 1)**2
Let x(i) be the second derivative of -7*i**4/66 + 5*i**3/33 + 2*i**2/11 + 6*i. Let x(w) = 0. What is w?
-2/7, 1
Let v(t) = -t - 5. Let l be -11 + (-1 - 2 - -5). Let y be v(l). Find p such that 9*p**3 - 2*p**4 + 3*p - p**2 - 8*p**2 - p**y = 0.
0, 1
Let m(l) be the first derivative of -l**4/4 + l**2/2 + 10. Factor m(h).
-h*(h - 1)*(h + 1)
What is k in k**2 - k**2 - 4*k**5 + 16*k**4 - 20*k**4 = 0?
-1, 0
Let y = -7 - -7. Factor -2*u**2 - u**3 + 3*u**2 + y*u + 0*u.
-u**2*(u - 1)
Let z = -211 + 214. Factor -3/5*b**4 + 3/5*b**5 + 0 + 0*b**2 + 0*b**z + 0*b.
3*b**4*(b - 1)/5
Factor 0*c**2 + 8/13*c**3 + 0*c + 0 + 0*c**4 - 2/13*c**5.
-2*c**3*(c - 2)*(c + 2)/13
Let d(p) be the third derivative of -p**8/84 + 4*p**7/105 - 2*p**5/15 + p**4/6 - 9*p**2. Determine g, given that d(g) = 0.
-1, 0, 1
Suppose 0 = -l + 1 + 3. Factor l*s**3 - 2 + 10*s**2 + 8*s + 2 + 2.
2*(s + 1)**2*(2*s + 1)
Suppose 12 = 7*t - 3*t. Let m(o) be the first derivative of 0*o - 1/6*o**t - 1/8*o**2 - 1 - 1/16*o**4. Factor m(p).
-p*(p + 1)**2/4
Let b be 18/30 - 2/5. Factor 1/5*q + 1/5 - 1/5*q**2 - b*q**3.
-(q - 1)*(q + 1)**2/5
Let d(y) = y + 12. Let l be d(-6). Let w(u) = -u**3 + u**2 + u - 1. Let a(q) = 2*q**3 - 2*q**2 - 2*q + 2. Let v(i) = l*w(i) + 4*a(i). Let v(p) = 0. What is p?
-1, 1
Suppose 0*x + x - 2 = 0. Let q = x - 4. Let t(w) = -w**3 - 4*w**2 + 3*w - 3. Let a(o) = -o**3 - 3*o**2 + 2*o - 2. Let v(b) = q*t(b) + 3*a(b). Factor v(c).
-c**2*(c + 1)
Let v be (-30)/(-40) - 45/(-20). Let 9/7*o**2 + 6/7*o - 3/7*o**4 + 0 + 0*o**v = 0. What is o?
-1, 0, 2
Let r be 3 - ((-92)/8 + (-6)/3). Let m(n) be the first derivative of 6*n - 4 - r*n**2 + 9*n**3. Factor m(p).
3*(p - 1)*(9*p - 2)
Factor -2/9*d**3 + 0*d**2 + 0 + 0*d**4 + 0*d + 2/9*d**5.
2*d**3*(d - 1)*(d + 1)/9
Let b(j) be the second derivative of -1/273*j**7 + 0 - 3/65*j**5 - 1/39*j**6 + 6*j + 2/39*j**4 + 0*j**2 + 8/39*j**3. Factor b(f).
-2*f*(f - 1)*(f + 2)**3/13
Let y(i) be the first derivative of 4*i**4 - 4*i**3 - 18*i**2 - 8*i - 18. Find l such that y(l) = 0.
-1, -1/4, 2
Suppose -4/15*t + 2/5*t**5 + 2/3*t**2 - 2/3*t**4 - 2/15*t**3 + 0 = 0. Calculate t.
-1, 0, 2/3, 1
Let q = 49/165 - -2/55. What is d in 0 + q*d**2 - 2/3*d = 0?
0, 2
Factor 2/15 + 16/15*v + 8/15*v**5 + 34/15*v**4 + 56/15*v**3 + 44/15*v**2.
2*(v + 1)**4*(4*v + 1)/15
Let b(w) = -w**2 + w. Let j(v) = 3 + 2*v - 1 - 2*v - 3*v**2 + v. Let f(y) = -2*b(y) + 2*j(y). Factor f(z).
-4*(z - 1)*(z + 1)
Suppose 0*o = -4*x + 2*o - 2, 0 = -5*x + 2*o - 2. Find r, given that -22*r**3 + 32*r**4 - 19*r**5 - 27*r**2 + 31*r**2 + x*r**3 + 5*r**5 = 0.
0, 2/7, 1
Let s be ((-30)/40)/(((-5)/8)/5). Let m(j) be the first derivative of 0*j - 1/3*j**4 - 1/3*j**5 - 1 + 0*j**2 - 1/9*j**s - 1/9*j**3. Let m(q) = 0. Calculate q.
-1, -1/2, 0
Suppose -5*l = -5*a - 40, 0*a = 4*a + 16. Let c(h) be the first derivative of 2*h - 1 - 12*h**2 + 36*h**3 + 162/5*h**5 - 54*h**l. Solve c(i) = 0.
1/3
Let l(o) be the second derivative of -o**4/4 - 2*o**3 - 9*o**2/2 - 9*o. Determine i so that l(i) = 0.
-3, -1
Let f be ((-4)/12)/(2/(-12)). Solve 3*d**2 + d**2 - 3*d**2 + 2*d**f - 3*d**4 = 0.
-1, 0, 1
Let m(q) = -96*q**3 - 105*q**2 - 9*q. Let t(s) = -12*s**3 - 13*s**2 - s. Let i(r) = 4*m(r) - 33*t(r). Factor i(k).
3*k*(k + 1)*(4*k - 1)
Let j(o) = 49*o**2 - 28*o - 5. Suppose -5*t - 19 = -4*d - 5, -t + 2*d = 4. Let f(w) = -1 - 1 + 1. Let p(a) = t*j(a) + 18*f(a). What is s in p(s) = 0?
2/7
Let 8/13*d**3 + 6/13*d**2 + 2/13*d**4 - 8/13 - 8/13*d = 0. What is d?
-2, -1, 1
Let s(p) = -3*p**2 + 13*p + 3. Let b(a) = 2*a**2 - 3*a + 3. Let i be b(2). Let f(z) = -2*z**2 + 7*z + 1. Let n(o) = i*f(o) - 3*s(o). Let n(l) = 0. Calculate l.
-2
Let k(f) = -f**2 + 9*f + 8. Let j be k(8). Let d be (-2)/(j/12) - -2. Find z, given that 0 - 1/2*z - d*z**2 = 0.
-1, 0
Let u be (25/(-7) - -3)*(-2)/4. Factor 2/7*o**2 + 0 + 0*o - u*o**3.
-2*o**2*(o - 1)/7
Let -2/11*m**3 + 0*m + 2/11*m**2 + 0 = 0. What is m?
0, 1
Let s(d) be the second derivative of d**7/126 + d**6/45 + d**5/60 - 8*d. Determine r so that s(r) = 0.
-1, 0
Let q(j) be the third derivative of -10*j**2 + 0 + 0*j**3 + 0*j - 1/90*j**5 + 1/180*j**6 + 1/315*j**7 - 1/36*j**4. Factor q(s).
2*s*(s - 1)*(s + 1)**2/3
Suppose -57 = -4*z + 5*q, 3*z - 17 = -z - 3*q. Let b be 2/5 + z/5. Let 3*i**b + 3/2*i**5 - 1/2*i - 1/2 + 7*i**3 + 11/2*i**4 = 0. Calculate i.
-1, 1/3
Let m(q) be the first derivative of 2*q**6/27 + 4*q**5/45 - q**4/9 - 4*q**3/27 + 3. Find v such that m(v) = 0.
-1, 0, 1
Let k(o) be the second derivative of -o**6/45 - o**5/15 + o**4/18 + 2*o**3/9 - 5*o. Factor k(v).
-2*v*(v - 1)*(v + 1)*(v + 2)/3
Let n(t) be the third derivative of -2*t**2 + 0*t**3 + 0 + 0*t + 0*t**4 - 1/360*t**5. Factor n(a).
-a**2/6
Let v be (-3)/(-6)*(1 - 76/(-20)). Factor v*n**3 - 6/5*n + 0 - 21/5*n**2.
3*n*(n - 2)*(4*n + 1)/5
Suppose 0 = -4*l - 4*o + 4 - 0, 4*o = -2*l - 2. Factor 0 + 6/7*t**2 + 2/7*t**l + 4/7*t.
2*t*(t + 1)*(t + 2)/7
Factor -3*o**5 + 3 + 6*o**2 - 53*o**3 + 47*o**3 + 4*o + 0*o**2 - 9*o**4 + 5*o.
-3*(o - 1)*(o + 1)**4
Let i(t) = -6*t**3 + 18*t + 12. Let r(d) = -5*d**3 + d**2 + 17*d + 11. Let g(m) = -2*i(m) + 3*r(m). What is z in g(z) = 0?
-1, 3
Let w = 27 - 22. Let a(l) be the second derivative of 0 + 5/126*l**7 + 0*l**3 - 7/90*l**6 - l + 0*l**4 + 1/30*l**w + 0*l**2. Factor a(f).
f**3*(f - 1)*(5*f - 2)/3
Let m = -6 + 6. Suppose m*s = 5*s. Solve -2/7*y**3 + s + 0*y**4 + 0*y**2 + 2/7*y**5 + 0*y = 0 for y.
-1, 0, 1
Let o = 4/165 + -13/990. Let u(f) be the third derivative of 0*f**4 + 0 + 0*f**3 + 1/504*f**8 + 0*f + o*f**5 - 1/315*f**7 - f**2 - 1/180*f**6. Factor u(m).
2*m**2*(m - 1)**2*(m + 1)/3
Let g(f) be the second derivative of -f**9/504 + f**8/112 - 3*f**7/280 - f**6/120 + f**5/40 + f**3 - f. Let z(m) be the second derivative of g(m). Factor z(p).
-3*p*(p - 1)**3*(2*p + 1)
Factor 6*t**2 + 0 + 24*t**3 + 32*t**4 + 1/2*t.
t*(4*t + 1)**3/2
Let r = 92 + -275/3. Let v(c) be the third derivative of 0*c + r*c**3 + 0 + 1/12*c**4 - 3*c**2 + 1/120*c**5. Factor v(m).
(m + 2)**2/2
Let s = -14 - -21. Let k be 0 + (3 - 4/(-1)). Find c, given that 2 + 13*c - s*c + c**2 + k = 0.
-3
Suppose 13 + 7 = 5*f. Suppose f*q = -3*v - 2, 5 = 2*q - v + 1. Factor q + 1/2*h - 1/2*h**2.
-(h - 2)*(h + 1)/2
Let f = -1348/117 - -170/13. Suppose -32/9*c**3 + 0 + f*c**4 - 4/9*c + 22/9*c**2 = 0. Calculate c.
0, 2/7, 1
Factor -5/2*u + 5/2*u**3 - 15/2*u**2 + 5/2*u**4 + 5.
5*(u - 1)**2*(u + 1)*(u + 2)/2
Let y = 503/3 - 167. What is o in -2/3*o + 7/3*o**2 + y*o**3 + 0 - 7/3*o**4 = 0?
-1, 0, 2/7, 1
Suppose -4*j + h = -16, -2*j - j = 3*h - 27. Let l(o) = o**3 + 5*o**2 + 3*o - 2. Let f be l(-4). What is v in -2*v - v**2 - 3*v**3 - v**j - 3*v**4 + f*v = 0?
-1, 0
Suppose 0 = q - 6*q + 5. Let w be 4/q + 6 + -7. Suppose 0 - 2/5*b**w + 1/5*b**2 + 0*b + 1/5*b**4 = 0. Calculate b.
0, 1
Let r be 1 + 1376/(-10) + 1. Let b = r + 136. Factor 0 - b*w**4 - 2/5*w - 6/5*w**2 - 6/5*w**3.
-2*w*(w + 1)**3/5
Let u be (-1 - (-3)/8)*24/(-300). Let w(f) be the first derivative of 1/12*f**3 + 2 + 1/8*f**2 - 1/16*f**4 + 0*f - u*f**5. Find y such that w(y) = 0.
-1, 0, 1
Suppose -4*u - 10 = -5*n, 5*u + 0*u = 0. Let -4*p**4 - 6*p + 6*p**3 + 5 - 3 + 0*p**4 + 0*p**4 + 2*p**n = 0. What is p?
-1, 1/2, 1
Suppose 2*n - 6 = 8. Factor 4*r + 6*r**2 - 4 - n*r**2 + 0*r.
-(r - 2)**2
Let u(a) be the first derivative of -a**3/5 - 3*a**2/5 - 3*a/5 + 50. Factor u(k).
-3*(k + 1)**2/5
Let x(c) = -9*c**5 + 4*c**3 + 5*c - 7. Let n = -5 + 11. Let d(y) = 4*y**5 - 2*y**3 - 2*y + 3. Let s(w) = n*x(w) + 14*d(w). Suppose s(m) = 0. Calculate m.
-1, 0, 1
Let n(m) be the first derivative of m**5/6 - m**4/3 - m**3/3 + m**2/2 - 1. Let c(o) be the second derivative of n(o). Factor c(g).
2*(g - 1)*(5*g + 1)
Let d be (4/(-42))/(-3 + (-60)/(-21)). What is h in -1/3*h**2 + h - d = 0?
1, 2
Suppose 5*o + 4*c - 4 = 3, -16 = o - 5*c. Let k(h) = -h - 1. Let a be k(o). Solve 