2/9, 0
Let f(w) be the first derivative of -w**4 - 8*w**3/3 - 10. Find g such that f(g) = 0.
-2, 0
Suppose 4*z + l - 4 = 0, 2*z + 3*l - 12 = -3*z. Let j(v) be the second derivative of v**2 - 2*v + z*v**3 + 0 - 1/6*v**4. Suppose j(r) = 0. What is r?
-1, 1
Let c be (4/(-6) - 0)/((-52)/104). What is b in 2/3*b - c + 2/3*b**2 = 0?
-2, 1
Let f(c) be the third derivative of 0 + 0*c**5 + 1/240*c**6 + 0*c**3 + 0*c + c**2 - 1/48*c**4. Suppose f(o) = 0. Calculate o.
-1, 0, 1
Let j(t) be the first derivative of -3*t**4/4 + t**3 - 18. Factor j(m).
-3*m**2*(m - 1)
Let c(s) be the first derivative of 2*s**5/15 - 2*s**3/9 + 7. Suppose c(h) = 0. What is h?
-1, 0, 1
Let y(n) be the third derivative of 0*n + 0*n**3 + 1/144*n**4 + 1/360*n**5 + 2*n**2 + 0. Factor y(s).
s*(s + 1)/6
Let o = -53 - -56. Determine c, given that 4/5*c**2 + 0*c + 0 - 14/5*c**5 + 14/5*c**o - 4/5*c**4 = 0.
-1, -2/7, 0, 1
Let g(d) be the second derivative of -2/21*d**3 + d + 1/7*d**2 + 0 + 1/42*d**4. Suppose g(q) = 0. Calculate q.
1
Let a(c) be the second derivative of c**6/300 - c**5/150 - c**4/60 + c**3/15 + c**2 - 2*c. Let m(k) be the first derivative of a(k). Factor m(z).
2*(z - 1)**2*(z + 1)/5
Let x(o) be the second derivative of o**5/190 + o**4/114 - o**3/57 - o**2/19 - 10*o. Factor x(l).
2*(l - 1)*(l + 1)**2/19
Let d(x) be the third derivative of 0*x + x**2 - 1/30*x**5 + 0*x**3 + 0 + 1/60*x**6 + 0*x**4. Suppose d(c) = 0. What is c?
0, 1
Let i(b) be the first derivative of b**5/30 - b**4/6 + b**3/3 - b**2/2 - 5. Let x(m) be the second derivative of i(m). Factor x(t).
2*(t - 1)**2
Let m(x) be the first derivative of -1 + 0*x**4 + 0*x**2 - 1/70*x**5 + 2*x + 0*x**3 + 1/35*x**6. Let w(o) be the first derivative of m(o). Factor w(y).
2*y**3*(3*y - 1)/7
Let 40 - g**2 - 40 = 0. Calculate g.
0
Let k(y) be the first derivative of 4*y**3/9 - 2*y**2/3 + 8. What is m in k(m) = 0?
0, 1
Let c be (3/3 - 1)/(-2). Let j(m) be the second derivative of 1/15*m**3 + 3/50*m**5 + 0*m**2 - 1/75*m**6 - 1/10*m**4 - 2*m + c. Factor j(s).
-2*s*(s - 1)**3/5
Suppose -2*k - 49 = -9. Let j be (-23)/(-12) - (-5)/k. Factor 10/3*w**2 - 8/3*w**4 - 2/3 + j*w**5 - 1/3*w - 4/3*w**3.
(w - 1)**3*(w + 1)*(5*w + 2)/3
Let h = -3/68 + 37/68. Factor -4*p - h*p**3 + 5/2*p**2 + 2.
-(p - 2)**2*(p - 1)/2
Let d(g) be the second derivative of g**5/510 + g**4/102 - g**3/17 + 4*g**2 - g. Let n(j) be the first derivative of d(j). Factor n(x).
2*(x - 1)*(x + 3)/17
Let f(z) = -9*z**2 + 8*z - 12. Let g(a) = 2*a**2 - 2*a + 3. Let q(h) = 6*f(h) + 26*g(h). Factor q(j).
-2*(j - 1)*(j + 3)
Let i(p) be the third derivative of -1/120*p**5 + 0*p**3 + 5*p**2 + 0 + 0*p**4 + 0*p. Let i(m) = 0. What is m?
0
Let q(k) = -260*k**2 - 729*k + 120. Let f(i) = -52*i**2 - 146*i + 24. Let v(n) = -11*f(n) + 2*q(n). Factor v(m).
4*(m + 3)*(13*m - 2)
Suppose 5*p - d = 4*d - 320, -5*p + 2*d = 326. Let o be 35/11 + 12/p. Suppose -1/2*f**5 + 1/2*f**o + 3/4*f**4 + 0*f - f**2 + 1/4 = 0. What is f?
-1, -1/2, 1
Let z be (-249)/(-210) + 2/(-5). Let u = z + -2/7. Factor -3/2*b**4 + 1/2*b**5 + b**2 + b**3 - 3/2*b + u.
(b - 1)**4*(b + 1)/2
Let r(j) = 51*j + 54. Let t be r(-1). Find v, given that -2/7*v**t - 2/7*v + 0 + 4/7*v**2 = 0.
0, 1
Suppose -20 + 4 = -3*g + r, 2*r = 4*g - 18. Let q be 2/g + 18/21. Find d such that -2/7 + 2/7*d**2 - q*d + 8/7*d**3 = 0.
-1, -1/4, 1
Let i = 68 - 610/9. Let i*o**2 + 0 - 2/9*o = 0. What is o?
0, 1
Let v(z) = -z**2 + 4*z - 1. Let i be (2 - -2) + 2/(-2). Let b be v(i). Factor 6*u**b - u + u + 2*u.
2*u*(3*u + 1)
Let s = -39 - -39. Factor 2/3*v + 8/3*v**2 + s.
2*v*(4*v + 1)/3
Let p be 3/3 - 9/15. Factor 0 - p*i - 1/5*i**3 + 3/5*i**2.
-i*(i - 2)*(i - 1)/5
Let h(w) be the first derivative of w**6/1800 - w**5/200 + w**4/60 + w**3 - 5. Let q(u) be the third derivative of h(u). Factor q(m).
(m - 2)*(m - 1)/5
Let m(p) be the second derivative of 0*p**5 + 0*p**3 - 5*p + 0 + 0*p**6 + 0*p**2 + 1/42*p**7 + 0*p**4. Let m(s) = 0. What is s?
0
Let d(h) be the third derivative of h**5/60 - 5*h**4/24 + h**3 + 10*h**2. Factor d(q).
(q - 3)*(q - 2)
Let f be 3 - 5 - -3 - -4. Let o(x) = 4*x**3 + 4*x**2 - 20*x - 16. Let t(c) = 4*c**3 + 4*c**2 - 21*c - 16. Let v(q) = f*o(q) - 4*t(q). Factor v(p).
4*(p - 2)*(p + 1)*(p + 2)
Let j = -2 - -2. Let c(z) be the first derivative of -2*z**2 - 2 + j*z + 35/4*z**4 - 4/3*z**3. What is w in c(w) = 0?
-2/7, 0, 2/5
Factor 0*r**2 - 4/7*r + 4/7*r**3 - 2/7 + 2/7*r**4.
2*(r - 1)*(r + 1)**3/7
Factor -6/7*d**4 - 6/7*d**3 + 0 + 0*d - 2/7*d**5 - 2/7*d**2.
-2*d**2*(d + 1)**3/7
Let o = -10 + 12. Factor -1/2 - 5/4*q**3 - 7/4*q - 9/4*q**o - 1/4*q**4.
-(q + 1)**3*(q + 2)/4
Suppose -3*z + 4 = -z. Determine r so that 0*r - 6*r**3 + 0*r**3 - 2*r + 2*r**4 + 6*r**z = 0.
0, 1
Let b(n) be the second derivative of -n**7/420 - n**6/60 + n**5/60 + n**4/4 + 2*n**3/3 - 7*n. Let l(s) be the second derivative of b(s). Factor l(z).
-2*(z - 1)*(z + 1)*(z + 3)
Suppose -4*b + 4 = -3*b. Find l such that 5*l**3 - 2*l - 2 + 4*l**b + 6*l**2 + 0 + 5*l**3 = 0.
-1, 1/2
Let h(t) = -t**2 - 12*t + 15. Let s be h(-13). What is v in -40 + 2*v**s + 40 - 2*v**3 = 0?
0, 1
Let m = -147 - -149. Let 1/2*a**m - 1/2*a - 1 = 0. Calculate a.
-1, 2
Factor -k**2 + 0*k**2 + 3*k + 6 - 2*k**2.
-3*(k - 2)*(k + 1)
Let l(h) = -h**3 + 8*h**2 + 10*h - 5. Let r = -6 + 15. Let p be l(r). Let -4*f**4 - 4*f**3 + p*f + 4 - 3*f**2 + 0*f**2 + 3*f**4 = 0. What is f?
-2, -1, 1
Let j(h) be the second derivative of h**6/6 + h**5/2 - 5*h**4/12 - 5*h**3/3 - 2*h. Factor j(m).
5*m*(m - 1)*(m + 1)*(m + 2)
Let m(v) be the second derivative of 11*v**4/3 + 6*v**3 - 4*v**2 - 14*v + 3. Determine n, given that m(n) = 0.
-1, 2/11
Let q be (4 - (-550)/(-15))*6. Let y be (2/(-3))/(q/42). Find w such that y*w**2 + 0 - 1/7*w = 0.
0, 1
Determine h so that 1/4*h**3 + 1/4*h**2 + 0 + 0*h = 0.
-1, 0
Let h(b) be the third derivative of b**2 + 0 + 1/300*b**6 - 1/60*b**4 + 1/15*b**3 - 1/150*b**5 + 0*b. Factor h(a).
2*(a - 1)**2*(a + 1)/5
Let i be 2*(-5)/(-10) + 7. Let d(r) = -r + 1. Let g be d(-3). Factor 2/3*t**g + 4*t**3 + 26/3*t**2 + i*t + 8/3.
2*(t + 1)**2*(t + 2)**2/3
Let u(b) be the third derivative of b**5/60 + b**4/12 + b**3/6 + 8*b**2. Factor u(j).
(j + 1)**2
Factor 9*t + 4*t**2 - 3*t**4 + 0*t**3 - 15*t + 6*t**3 - t**2.
-3*t*(t - 2)*(t - 1)*(t + 1)
Let k(y) be the second derivative of y**6/60 + y**5/30 - y**4/6 - y**2/2 - 4*y. Let v(l) be the first derivative of k(l). Factor v(o).
2*o*(o - 1)*(o + 2)
Let l(x) be the second derivative of -1/20*x**5 + x**2 - 1/8*x**4 + 0 + 4*x + 0*x**3. Let m(r) be the first derivative of l(r). Factor m(g).
-3*g*(g + 1)
Factor -9*g**2 + 6 + 4*g**2 - 3*g + g**2 + g**2.
-3*(g - 1)*(g + 2)
Let v be (-2)/1 + 249/(-1). Let x = -2257/9 - v. Suppose 2/9 - x*l**2 + 0*l = 0. Calculate l.
-1, 1
Factor 4/7*q + 3/7 + 1/7*q**2.
(q + 1)*(q + 3)/7
Let p(r) = -r**3 + r**2 + r + 1. Let y(x) = 4*x**3 - 12*x**2 - 12*x - 8. Suppose 10*j = 5*j - 5. Let c(d) = j*y(d) - 6*p(d). Solve c(b) = 0.
-1
Let g(m) be the second derivative of m**8/26880 - m**7/2520 + m**6/720 + m**4/6 - 6*m. Let o(r) be the third derivative of g(r). Solve o(h) = 0 for h.
0, 2
Suppose d = 5*d - 12. Let -1/2 + 2*v**3 - 9/2*v**2 + d*v = 0. What is v?
1/4, 1
Let r(q) = 5*q**3 + 15*q**2 + 51*q + 37. Let p(k) = -11*k**3 - 29*k**2 - 103*k - 73. Let o(b) = -3*p(b) - 7*r(b). Factor o(u).
-2*(u + 2)**2*(u + 5)
Let i be (-8)/(-6)*-11*12/(-440). Factor 0 - i*f**3 - 4/5*f + 6/5*f**2.
-2*f*(f - 2)*(f - 1)/5
Let p(n) = 5*n**4 - 3*n**3 - 2*n**2 + 4. Let z(o) = -6*o**4 + 3*o**3 + 3*o**2 - 5. Let y(r) = 5*p(r) + 4*z(r). Factor y(v).
v**2*(v - 2)*(v - 1)
Let s(y) = -y**2 - 5*y - 3. Let p be s(-4). Suppose -6 + p = -d. Factor 13/5*b**2 - 2/5*b - 27/5*b**3 + 0 + 23/5*b**4 - 7/5*b**d.
-b*(b - 1)**3*(7*b - 2)/5
Let b(j) = 4*j**4 - 2*j**3 + 2*j + 8. Let x(d) = -12 - 5*d**3 + 5*d + 35 - 2*d**4 + 13*d**4. Let r(g) = -17*b(g) + 6*x(g). Determine n, given that r(n) = 0.
-1, 1
Let o = -8 - -10. Factor 0*v**2 + 0*v**o - 3*v**2.
-3*v**2
Let a be (-7)/(14/(-8))*(-6)/(-8). Let s be ((-2)/(-6))/(8/6). Suppose 0 + 1/4*n + s*n**a - 1/2*n**2 = 0. Calculate n.
0, 1
Let s(y) be the second derivative of -y**5/170 - y**4/102 + y**3/51 + y**2/17 - y. Solve s(f) = 0 for f.
-1, 1
Let i(o) = o**2 + 8*o - 5. Let y(n) = 4 - 9*n + 3 - n**2 - 1. Suppose 3*z + 13 = -8. Let d(r) =