 - 1/2*w**2 = 0.
-1, 0, 1/4
Suppose 2*k - 15 + 11 = 0. Let s(f) be the third derivative of -k*f**2 + 0 - 1/3*f**3 + 0*f - 1/8*f**4 - 1/60*f**5. Factor s(p).
-(p + 1)*(p + 2)
Let b(s) be the third derivative of -s**7/315 - s**6/180 + s**5/30 + 5*s**4/36 + 2*s**3/9 + 8*s**2. Factor b(x).
-2*(x - 2)*(x + 1)**3/3
Let r(t) be the third derivative of -t**6/120 + t**5/60 + t**4/12 + 17*t**2. Factor r(y).
-y*(y - 2)*(y + 1)
Suppose -5*s = 4*v - 129 + 49, 95 = 4*s - 3*v. Suppose 0 = 9*j - 4*j - s. Factor 2*o**j + 30/7*o**2 - 4/7 + 2/7*o + 38/7*o**3.
2*(o + 1)**3*(7*o - 2)/7
Suppose -3*c + 2*q = -4*c + 21, c = q + 9. Let c + 2*n**3 - 2*n - 13 = 0. What is n?
-1, 0, 1
Let m(p) be the first derivative of 2/9*p**3 - 6 + 0*p - 1/3*p**2. Factor m(a).
2*a*(a - 1)/3
Let 0 + 0*h - 2/5*h**2 - 2/5*h**4 - 4/5*h**3 = 0. What is h?
-1, 0
Let m(b) be the second derivative of -b**3/6 + 3*b**2 + b. Let i be m(3). Factor 0*k**2 + k**5 - 3*k**2 + 4*k**2 - k**i - k**4.
k**2*(k - 1)**2*(k + 1)
Let j = 457/6 + -76. Let o(g) be the first derivative of 0*g**2 - 1 + j*g**4 - 1/9*g**6 + 0*g**3 + 0*g + 0*g**5. Factor o(w).
-2*w**3*(w - 1)*(w + 1)/3
Suppose -r = 2*r. Let b be r - (-20)/(-28) - -1. Factor -b - 2/7*z**3 - 6/7*z - 6/7*z**2.
-2*(z + 1)**3/7
Let y(l) = -2*l + 8. Let o be y(3). Factor -3/2 - 5/2*x**o - 4*x.
-(x + 1)*(5*x + 3)/2
Let y be (1 + -2)*4/2. Let a(r) = 3*r**3 - 8*r**2 + 5*r. Let z(s) = 1 - 18*s**3 + 14*s**2 + 18*s**2 + 6*s**3 - 21*s. Let t(m) = y*z(m) - 9*a(m). Factor t(c).
-(c - 2)*(c - 1)*(3*c + 1)
Let u(h) = h**3 - 7*h**2 - 4. Let y(g) = 2*g**3 + 0*g**3 - 1 - g**2 - g**3 + 0*g**3. Let w(j) = -u(j) + 4*y(j). Solve w(d) = 0 for d.
-1, 0
Find g, given that -3/2*g**2 - 486 - 54*g = 0.
-18
Let g(i) = i - 9. Let s be g(11). Suppose -3*c - 1 + 0*c - c**s + 5*c = 0. Calculate c.
1
Factor 13/2*v + v**3 - 11/2*v**2 - 2.
(v - 4)*(v - 1)*(2*v - 1)/2
Let x be 5/30 + 2 - 6/4. Suppose x*t**2 - 2/3*t + 0 = 0. Calculate t.
0, 1
Suppose -2/3 - 2/3*x**2 + 4/3*x = 0. What is x?
1
Factor 13*r**2 - 15*r**2 + 4*r - 2*r**4 + 2*r**3 + 4*r**4 - 6*r**3.
2*r*(r - 2)*(r - 1)*(r + 1)
Let m(u) be the third derivative of -u**6/300 + u**4/60 - 8*u**2. Factor m(y).
-2*y*(y - 1)*(y + 1)/5
Let z(s) be the second derivative of -s**5/30 + s**4/9 + s**3/9 - 2*s**2/3 + 10*s. Factor z(q).
-2*(q - 2)*(q - 1)*(q + 1)/3
Suppose 22*h = -20 + 108. Factor 16/5*b**2 + 8/5*b + 2/5*b**h + 0 + 2*b**3.
2*b*(b + 1)*(b + 2)**2/5
Let i(j) = -j**3 + 3*j**2 + 4*j + 2. Let t(o) = -o + 10. Let v be t(6). Let a be i(v). Factor a*k**2 - 6 + 6.
2*k**2
Let o(g) be the second derivative of g**5/50 - 2*g**4/15 + g**3/3 - 2*g**2/5 + 7*g. Factor o(f).
2*(f - 2)*(f - 1)**2/5
Suppose 0*g - g = -2. Determine t, given that -1/3 + 1/3*t**g + 0*t = 0.
-1, 1
Let j = -18 - -29. Suppose 15*r = j*r + 12. Find g, given that 1/6 - 7/6*g**2 + 0*g - g**r = 0.
-1, -1/2, 1/3
Let w(g) = -g**4 - g**3 + g**2 + g. Let h(t) = 6*t**4 - 3*t**3 - 3*t**2 + 3*t - 3. Let s(c) = -h(c) - 3*w(c). Solve s(d) = 0.
-1, 1
Let c(q) = q**3 - q**2 - q + 2. Let x(g) = -13*g**4 + 152*g**3 - 642*g**2 + 934*g - 140. Let l(r) = 6*c(r) + x(r). Factor l(n).
-(n - 4)**3*(13*n - 2)
Factor 0 - 6/5*m**2 - 3/5*m**3 + 0*m.
-3*m**2*(m + 2)/5
Suppose -2*g + 3 = -7. Suppose 0*n**3 + 2/3*n**2 - 2/3*n**4 - 1/3*n**g + 1/3*n + 0 = 0. What is n?
-1, 0, 1
Find t such that -2/3*t**2 - 4/3*t**3 + 2/3*t**4 + 0 + 4/3*t = 0.
-1, 0, 1, 2
Let f(m) be the third derivative of -m**5/120 - m**4/12 - m**3/3 - 23*m**2. Factor f(j).
-(j + 2)**2/2
Let h(y) be the second derivative of y**4/18 + 10*y**3/9 - 11*y**2/3 - 27*y. Let h(x) = 0. What is x?
-11, 1
Let f(y) be the second derivative of 0*y**2 + 2*y + 0 - 1/48*y**3 + 0*y**4 + 1/160*y**5. Factor f(x).
x*(x - 1)*(x + 1)/8
Factor 8*v**2 - v**3 + 4*v**2 + 6 + 15*v + 4*v**3.
3*(v + 1)**2*(v + 2)
Factor -2/9*o**3 + 2/9*o**2 + 4/9*o + 0.
-2*o*(o - 2)*(o + 1)/9
Let v(q) be the second derivative of q**5/30 + q**4/6 + q**3/3 + q**2/3 + 4*q. What is k in v(k) = 0?
-1
Let a(m) be the second derivative of -m**7/1080 - m**6/135 - m**5/90 - m**4/4 + 3*m. Let r(v) be the third derivative of a(v). Suppose r(g) = 0. What is g?
-2, -2/7
Suppose 7*b - 11*b = -8. What is d in 14*d + 2 + 49/2*d**b = 0?
-2/7
Let b(h) be the third derivative of -h**8/672 + h**7/420 + h**6/80 - h**5/120 - h**4/24 - 61*h**2. Determine o, given that b(o) = 0.
-1, 0, 1, 2
Let h(z) = -z**2 - 13*z + 5. Let s be h(-13). Let v(b) be the third derivative of -1/60*b**4 + 0*b**3 + 1/300*b**s - b**2 + 0*b + 0. Find l such that v(l) = 0.
0, 2
Factor -7*k + 7*k**2 + 2*k**2 - 5*k + 4 + 0.
(3*k - 2)**2
Find p such that -8*p**5 - 5*p + 24*p**3 + 0*p**5 + 4*p**4 + 4*p**2 - 3*p = 0.
-1, 0, 1/2, 2
Let r(a) = a**2 - 2*a. Let l be r(3). Suppose 0 = -0*p + p - l. Factor -2*c**p - 5*c**2 - c + c**2 - c.
-2*c*(c + 1)**2
Let l(f) = -f**2 + f - 1. Let k(c) = 2*c**3 - 5*c**2 - c - 9. Let v = -17 - -12. Let g(w) = v*l(w) + k(w). Suppose g(i) = 0. Calculate i.
-1, 2
Let u = 0 - -3. Factor -u*n - 4*n + n + n**2 + 0*n + 9.
(n - 3)**2
Let s(f) be the second derivative of 0 - 1/50*f**6 - 1/2*f**3 - 5*f + 3/20*f**4 + 3/5*f**2 + 3/100*f**5. Factor s(m).
-3*(m - 1)**3*(m + 2)/5
Let v = -9 + 11. Suppose j = v*j. Factor 0*p + j + 2/7*p**3 + 2/7*p**2.
2*p**2*(p + 1)/7
Let h(c) be the second derivative of c**5/130 - c**4/26 + c**3/13 - c**2/13 - 5*c. Factor h(t).
2*(t - 1)**3/13
Let p(x) be the second derivative of -7*x**5/6 - x**4/3 + 4*x**3/3 - x**2 + x. Let t(s) be the first derivative of p(s). Factor t(z).
-2*(5*z + 2)*(7*z - 2)
Let v(x) = -22*x + 9. Let q be v(-4). What is h in 14*h**3 + 16 - 138*h**3 + 54*h - q*h**4 - 13*h**5 + 10*h - 8*h**5 = 0?
-2, -1, -2/7, 2/3
Suppose l - 4 = 11. Suppose -5*c - 5 + l = 5*o, 0 = 2*o + 4. Solve -10*h**3 - 4*h**2 + 2*h + 6*h**4 + 6*h**2 + 0*h**c = 0 for h.
-1/3, 0, 1
Let i(x) be the first derivative of -5/7*x**2 + 2 + 2/7*x**5 + 20/21*x**3 + 2/7*x - 5/7*x**4 - 1/21*x**6. Suppose i(g) = 0. What is g?
1
Let q(r) be the first derivative of -r**4/6 + r**3/2 - r**2/2 + 5*r + 2. Let u(y) be the first derivative of q(y). What is b in u(b) = 0?
1/2, 1
Let s(o) be the third derivative of 0*o**4 - 1/30*o**6 + 0*o - 1/168*o**8 + 0*o**5 - 1/35*o**7 + 0*o**3 + 0 - 8*o**2. Solve s(f) = 0 for f.
-2, -1, 0
Let a be (-400)/(-144) - 4/(-18). Factor -2 + 1/2*q**a + 3/2*q**2 + 0*q.
(q - 1)*(q + 2)**2/2
Let p be 5/(15/(-3))*-2. Determine l, given that -2/7*l**p + 2/7*l - 2/7*l**3 + 2/7 = 0.
-1, 1
Let l(k) be the first derivative of k**7/210 + k**6/30 + k**5/10 + k**4/6 + k**3/6 - 3*k**2/2 - 9. Let f(p) be the second derivative of l(p). Factor f(s).
(s + 1)**4
Let v(d) = 2*d**3 + d**2 + d. Let o(x) = -8*x**3 + 13*x**2 - 7*x - 18. Let z(b) = o(b) + 5*v(b). Factor z(a).
2*(a - 1)*(a + 1)*(a + 9)
Let t(k) be the third derivative of -k**8/30240 - k**7/7560 + k**6/540 + k**5/20 - 3*k**2. Let y(c) be the third derivative of t(c). Factor y(d).
-2*(d - 1)*(d + 2)/3
Let i(s) = -4*s + 4. Let b(x) = 2*x - 2. Let f(p) = 7*b(p) + 3*i(p). Let l be f(2). Factor 2*j**3 + 0 - 2/3*j**4 + 2/3*j - 2*j**l.
-2*j*(j - 1)**3/3
Let d = -1 + 3. Find h such that -12*h**4 - 25*h**2 - 111*h**3 + 12*h + 72*h**4 + h**d = 0.
-2/5, 0, 1/4, 2
Let x(p) be the first derivative of p**5/5 - 3*p**4/2 + 13*p**3/3 - 6*p**2 + 4*p - 8. Factor x(d).
(d - 2)**2*(d - 1)**2
Let b be (2 - 3)*4/8*0. Let q = 230/21 - 32/3. Solve -q*n**3 + b*n + 0 + 2/7*n**2 = 0 for n.
0, 1
Let h(p) be the second derivative of p**7/14 - 3*p**5/20 - 5*p. Factor h(r).
3*r**3*(r - 1)*(r + 1)
Let a be (-1256)/161 - -9 - 2/(-23). Factor 3/7*p**5 + a*p**3 + 3/7*p**2 + 9/7*p**4 + 0*p + 0.
3*p**2*(p + 1)**3/7
Factor -7*w**3 - 3*w**4 + w**2 + 10*w**3 + w**2 + 4*w**2.
-3*w**2*(w - 2)*(w + 1)
Let p(u) = 4*u**2 - 5*u - 6. Let q(v) = 7*v**2 - 9*v - 11. Let w(z) = -5*p(z) + 3*q(z). Factor w(t).
(t - 3)*(t + 1)
Let w(q) be the first derivative of -1/2*q**2 + 0*q**5 - 1 + 0*q**4 + 0*q + 0*q**3 - 1/480*q**6. Let y(m) be the second derivative of w(m). Factor y(o).
-o**3/4
Let l = 104 + -934/9. Let y(o) be the first derivative of 0*o + 3 - 1/12*o**4 + l*o**3 - 1/6*o**2. Suppose y(p) = 0. Calculate p.
0, 1
Let n(l) = -4*l**4 + 2*l**2 + 2. Let h(y) = -y**5 - 5*y**4 + y**3 + 2*y**2 + 3. Let k(b) = -2*h(b) + 3*n(b). Determine p, given that k(p) = 0.
-1, 0, 1
Let -w + w - 1 - 3*w**2 + 4*w