/7*g**2 = 0.
-1, 1
Let w(n) = -n**3 + 2*n**2 + 4*n - 2. Let d be w(4). Let m be (-5)/(-2) - 9/d. Solve -3/4*i**m - 1/4*i**5 + 1/4*i**2 + 0 + 0*i + 3/4*i**4 = 0.
0, 1
Solve -4/19 - 14/19*y + 24/19*y**2 + 90/19*y**3 = 0 for y.
-1/3, 2/5
Let b = -94/15 - -20/3. Factor 0 + b*x**3 - 2/5*x + 0*x**2.
2*x*(x - 1)*(x + 1)/5
Let d(i) be the second derivative of i**4/3 + 14*i**3/3 + 20*i**2 + 22*i. Factor d(r).
4*(r + 2)*(r + 5)
Let m = -1/217 - -9/31. Factor -m*w + 2/7*w**2 + 0 + 2/7*w**3 - 2/7*w**4.
-2*w*(w - 1)**2*(w + 1)/7
Let u(h) be the third derivative of h**5/90 - h**4/9 + h**3/3 + 18*h**2. Factor u(s).
2*(s - 3)*(s - 1)/3
Suppose 0 = 3*a + 4*o - 14, 7 + 0 = 4*a + 3*o. Let q be (0/a)/((-6)/3). Factor -1/3*r**5 - 1/3*r + q*r**2 + 2/3*r**3 + 0*r**4 + 0.
-r*(r - 1)**2*(r + 1)**2/3
Let p(q) be the third derivative of q**6/195 - 17*q**5/390 + q**4/39 - 52*q**2. Let p(w) = 0. What is w?
0, 1/4, 4
Let j(n) = -n**2 - n + 1. Let o(m) = 10*m**2 + 11*m - 8. Let d = 21 + -3. Let k(w) = d*j(w) + 2*o(w). Factor k(p).
2*(p + 1)**2
Let s(h) = -h**3 - 3*h**2 - 10*h - 8. Let i be s(6). Let l = 1966/5 + i. What is y in 6/5*y**2 - l*y**3 - 2/5*y + 2/5*y**4 + 0 = 0?
0, 1
Let f be (5 - 2)/1 - 1. Let v(r) be the first derivative of 1/8*r**6 - 3 - 1/2*r**3 - 9/8*r**f + 9/20*r**5 + 3/8*r**4 - 3/4*r. Factor v(p).
3*(p - 1)*(p + 1)**4/4
Let f(r) = 4 - r**2 + 6*r + 0*r + 0*r**2. Let y be f(6). Factor -9*l**3 - 2 - 13*l**2 - 2*l**y - 8*l + l**2 + l**3.
-2*(l + 1)**4
Let h be (-6)/(-33) + 74/77. Let w be 2 - (-2 + (-20)/(-7)). Factor -w*s + 2/7*s**2 + h.
2*(s - 2)**2/7
Factor 0*t**2 - 13/3*t**4 + 0 + 2/3*t**3 + 0*t.
-t**3*(13*t - 2)/3
Let u(q) be the second derivative of -q**2/2 - 9*q. Let c(v) = -28*v**2 + 48*v + 14. Let s(k) = c(k) - 2*u(k). Find h such that s(h) = 0.
-2/7, 2
Let q be (-3)/(-4) - (-33)/44. Factor -3/2*f - 1/2 - 1/2*f**3 - q*f**2.
-(f + 1)**3/2
Let r(j) = 2*j**2 - j**2 + j**3 - 2*j**2. Let z(g) = 9*g**3 + 4*g**2 + g - 2. Let v be ((-2)/6)/(6/(-72)). Let p(b) = v*r(b) - z(b). Factor p(k).
-(k + 1)**2*(5*k - 2)
Let i(v) = v**3 + v**2 + v. Let x = -2 + 6. Let h(b) = b**3 - 11*b**2 - 20*b - 12. Let s(q) = x*i(q) - h(q). Solve s(u) = 0 for u.
-2, -1
Let l(p) be the second derivative of 3*p**5/110 - 5*p**4/66 + p**3/33 + p**2/11 + 4*p. What is n in l(n) = 0?
-1/3, 1
Let u(h) be the second derivative of h**4/3 + 8*h**3/3 + 6*h**2 + 26*h. What is w in u(w) = 0?
-3, -1
Let r(g) be the second derivative of g**5/50 - g**4/5 + 4*g**3/5 - 8*g**2/5 - 3*g. Solve r(j) = 0 for j.
2
Let g(m) be the third derivative of m**5/90 + 5*m**4/18 + 25*m**3/9 - 9*m**2. What is y in g(y) = 0?
-5
Let x(o) be the second derivative of 1/300*o**5 + 0 + 1/60*o**4 + 4*o + 1/2*o**2 + 0*o**3. Let l(t) be the first derivative of x(t). Factor l(a).
a*(a + 2)/5
Let u(p) be the first derivative of 1/4*p**3 + 9/16*p**4 + 3/20*p**5 - 3 - 9/8*p**2 - 3/2*p. Factor u(j).
3*(j - 1)*(j + 1)**2*(j + 2)/4
Let r = 76/3 + -25. Let p = -1 + 3. Factor 4/3*y + r*y**p + 4/3.
(y + 2)**2/3
Let k(c) be the second derivative of 0 + 1/48*c**4 - 1/24*c**3 + 2*c + 0*c**2. Find p such that k(p) = 0.
0, 1
Let a(d) be the second derivative of 3*d**5/20 - d**4/4 - d**3 - 3*d. Factor a(j).
3*j*(j - 2)*(j + 1)
Let z(a) = 2*a**2 + 5*a + 2. Let u = -15 - -9. Let j(r) = 3*r**2 + 9*r + 3. Let h(n) = u*j(n) + 10*z(n). Factor h(p).
2*(p - 1)**2
Let y(u) be the second derivative of -4*u**5 + 10*u**4/3 + 25*u**3/2 - 45*u**2/2 - 42*u. Solve y(s) = 0 for s.
-1, 3/4
Let v(g) be the third derivative of -g**6/1440 - g**5/160 + g**4/24 - g**3/2 - 9*g**2. Let j(t) be the first derivative of v(t). Factor j(q).
-(q - 1)*(q + 4)/4
Factor 0 + 1/5*v**2 + 1/5*v.
v*(v + 1)/5
Let d(c) be the first derivative of 0*c + 4 - 1/4*c**2 + 1/16*c**4 - 1/12*c**3. Factor d(g).
g*(g - 2)*(g + 1)/4
Let v(g) = -g**3 - 9*g**2 - 7*g + 11. Let w be v(-8). Let k = -30 + 91/3. Suppose k*j - 1/3*j**2 - 1/3*j**w + 1/3 = 0. Calculate j.
-1, 1
Let p(a) be the first derivative of a**3/5 - 3*a**2/10 + 2. Find x such that p(x) = 0.
0, 1
Let f(a) be the third derivative of a**5/120 + a**4/12 + a**3/3 + 5*a**2. Solve f(s) = 0 for s.
-2
Let j(b) = 33*b**4 + 36*b**3 + 12*b**2 + 6*b. Let q(m) = -3*m + 3*m + 4*m - 5*m - m**4. Let y(z) = -j(z) - 6*q(z). Solve y(o) = 0.
-2/3, 0
Let t(j) = j**3 - 3*j**2 - 7*j - 1. Let z be t(5). Factor 3*h + 30*h**4 + 9*h**3 - z*h**4 - 9*h**2 - 19*h**4.
-3*h*(h - 1)**3
Suppose -3/2*c**2 + 0 + 1/2*c - 1/2*c**4 + 3/2*c**3 = 0. Calculate c.
0, 1
Let k(z) be the second derivative of z**5/170 - z**4/51 + 29*z. Suppose k(j) = 0. What is j?
0, 2
Let h(i) = -i**2 - 22*i - 18. Let f be h(-21). Let g(y) be the second derivative of -4/9*y**f - 2*y - 4/3*y**2 - 1/18*y**4 + 0. Factor g(z).
-2*(z + 2)**2/3
Let v(m) = -m - 4. Let u be v(-6). Suppose 0 = 3*b + 4*r + 2, -2*b = 2*r - r - u. Factor 2*z - z**b - z + z.
-z*(z - 2)
Let h(x) be the third derivative of x**6/720 - x**5/120 + x**4/48 + x**3/3 - 5*x**2. Let m(d) be the first derivative of h(d). What is k in m(k) = 0?
1
Let a = 5 + -3. Let o = 16 + -16. Find p, given that 2/5*p**3 + o - 1/5*p**4 - 1/5*p**a + 0*p = 0.
0, 1
Let x be ((-2)/5)/(19/(-95)). Let l be (-4 - 12)*x/(-12). Solve -10/3*i**3 + l - 32/3*i + 34/3*i**2 = 0 for i.
2/5, 1, 2
Suppose 0 = -4*n - 2*t + 12, n - 3*t = -11 - 0. Let f be 4/2*n/6. Factor 4/3*m**2 - f + m.
(m + 1)*(4*m - 1)/3
Suppose -8*v + 5*v = 0. Let z(c) be the second derivative of v - 2*c + 4/5*c**2 + 16/15*c**3 + 7/10*c**4 + 9/50*c**5. Factor z(f).
2*(f + 1)*(3*f + 2)**2/5
Let y(z) = z + z**2 + z - 6*z + 2. Let m be y(4). Factor 4*x - x**m - 2*x + 4 - 5.
-(x - 1)**2
Let k(u) be the second derivative of 2*u**6/75 + 4*u**5/25 + 4*u**4/15 + 10*u. Find y such that k(y) = 0.
-2, 0
Let v(r) = 5*r**5 - 5*r**3 + 4*r**2. Let j(u) = -6*u**5 + 6*u**3 - 5*u**2. Let t(c) = 4*j(c) + 5*v(c). Let t(w) = 0. What is w?
-1, 0, 1
Suppose -3*m + 4*a - a = -27, 5*a = -20. Suppose 0 = -2*f + 3*f - m. Factor x - 5*x**3 + f*x + 3*x**2 - 4*x.
-x*(x - 1)*(5*x + 2)
Let f(n) be the third derivative of n**10/604800 - n**5/60 - 6*n**2. Let k(j) be the third derivative of f(j). Factor k(a).
a**4/4
Let c(r) = -r**3 - 3*r**2 - 3*r - 1. Let z(n) = -12*n**3 - 34*n**2 - 32*n - 10. Let y(k) = 68*c(k) - 6*z(k). Factor y(j).
4*(j - 2)*(j + 1)**2
Factor -5/3*i**4 + 0*i**2 - 5*i**3 + 0 + 20/3*i.
-5*i*(i - 1)*(i + 2)**2/3
Let u = 537804359/588 - 914633. Let t = u + -2/147. Solve -3/4*d**2 - 1/4 + t*d**3 + 3/4*d = 0 for d.
1
Suppose -q - 2*q + 3 = 0. Let x(h) = -6*h**2 - h - 5. Let r(i) = i**2 + 1. Let d(g) = q*x(g) + 5*r(g). Factor d(b).
-b*(b + 1)
Suppose -11 = 5*x - 3*x - d, 8 = -2*x + 2*d. Let r = 9 + x. Factor 2/5*t + 2/5*t**3 + 0 - 4/5*t**r.
2*t*(t - 1)**2/5
Suppose 3 - 15*l - 4*l**5 - 41*l**3 + 19*l**4 + 37*l**2 - 1 + 2*l**4 = 0. What is l?
1/4, 1, 2
Factor -1/3*v - 1/6*v**2 + 0.
-v*(v + 2)/6
Let w = -4 + 3. Let d(a) = -a - 1. Let h(g) = g**3 + 5*g**2 - 2*g - 7. Let r be h(-5). Let t(b) = -3*b**3 + 3*b**2 - 6. Let k(q) = r*d(q) + w*t(q). Factor k(u).
3*(u - 1)**2*(u + 1)
Factor -16*t + 16*t**2 - 9*t**3 + 22*t**3 - 7*t**3 - 10*t**3.
-4*t*(t - 2)**2
Let 0*o**2 + 2/3*o**3 + 0*o + 0 + 2/3*o**4 = 0. What is o?
-1, 0
Suppose 5*h - 11 = 9. Suppose 2*t = 3*t - h. Factor -12*u**4 - 25*u**3 - 2*u**5 + 6*u**3 - 4*u + u**3 - 14*u**2 + 2*u**t.
-2*u*(u + 1)**3*(u + 2)
Let s(j) be the second derivative of -j**7/70 + j**6/50 + 3*j**5/50 - 8*j. What is v in s(v) = 0?
-1, 0, 2
Let u(x) be the second derivative of x**8/11200 + x**7/12600 - x**6/1800 - x**4/6 + 5*x. Let y(v) be the third derivative of u(v). What is k in y(k) = 0?
-1, 0, 2/3
Suppose 0 = -r - 42 + 44. Factor 0*t - 2/5*t**r + 0.
-2*t**2/5
Let w be (-2)/(-3) - (-82)/(-123). What is r in 3*r + w - 3/2*r**2 = 0?
0, 2
Let z(o) = -o**2 + 20*o + 69. Let j be z(23). Solve j + 1/4*q**2 + 1/2*q = 0 for q.
-2, 0
Let u(l) = l + 8. Let d be u(-6). Factor -3 + b**2 - 19*b**d + 3*b**3 - 3*b**3 + 12*b + 12*b**3 - 3*b**4.
-3*(b - 1)**4
Let p(f) be the first derivative of f**5/20 + f**4/8 - f**3/12 - f**2/4 + 9. Factor p(n).
n*(n - 1)*(n + 1)*(n + 2)/4
Let p = 2/81 + 239/162. Solve 3/2*k**2 - p*k + 1/2 - 1/2*k**3 = 0 for k.
1
Let y(l) be the third derivative of -l**5/15 + 2*l**4/3 - 8*l**3/3 - l**2. Find c, given that y(c) = 0.
2
Let h(r) be the second derivative of r**4/48 + r**3/4 