) - 57/c. Factor 2/3*g**2 - 1/3*g + 1/3*g**3 - m.
(g - 1)*(g + 1)*(g + 2)/3
Let a be (-1688)/1750*(-30)/36. Let n = -2/525 + a. Let -14/5*h**4 + 18/5*h - 18/5*h**3 + 2*h**2 + n = 0. Calculate h.
-1, -2/7, 1
Let m(d) be the third derivative of d**8/336 - d**7/42 + 7*d**6/120 - d**5/20 + 3*d**2. Factor m(n).
n**2*(n - 3)*(n - 1)**2
Find q such that 0*q - 1/5*q**3 + 0 - 1/5*q**2 = 0.
-1, 0
Let s(b) be the third derivative of -b**8/1080 + b**7/756 + b**6/810 - b**3/3 + 4*b**2. Let r(i) be the first derivative of s(i). Find v such that r(v) = 0.
-2/7, 0, 1
Suppose 2*u - 7 - 45 = 0. Solve -a**3 - a**3 - a**4 - 14 - 11 + 2*a + u = 0.
-1, 1
Let u(q) = -q - 17. Let c be u(-20). Suppose c + 18*n**2 + 33/2*n = 0. What is n?
-2/3, -1/4
Let b(i) be the first derivative of -3/5*i**2 + 2 + 3/20*i**4 + 1/5*i**3 + 0*i. Factor b(q).
3*q*(q - 1)*(q + 2)/5
Let l(c) = -5*c**5 - 8*c**4 - c**3 - c**2 - 3. Let f(i) = 5*i**5 + 8*i**4 + i**3 + 2*i**2 + 4. Let k = -6 - -2. Let q(n) = k*l(n) - 3*f(n). Factor q(z).
z**2*(z + 1)**2*(5*z - 2)
Let a(l) be the first derivative of -l**5/55 + l**4/22 + 4*l**3/33 - l**2/11 - 3*l/11 + 16. Determine y so that a(y) = 0.
-1, 1, 3
Let h(k) be the first derivative of k**3/18 + 2*k**2/3 + 8*k/3 + 2. Factor h(r).
(r + 4)**2/6
Let b = -3 - -3. Let n(c) be the third derivative of 0*c**4 + 0*c + 1/60*c**5 + 3*c**2 + b + 1/120*c**6 + 0*c**3. Factor n(p).
p**2*(p + 1)
Let r(k) be the first derivative of k**5/30 + k**4/24 - k**3/18 - k**2/12 - 12. Factor r(g).
g*(g - 1)*(g + 1)**2/6
Let q be 1 + 21/(-18) + 8/16. Solve 1/3*c**2 - q*c**3 + 0 + 0*c = 0 for c.
0, 1
Let o(l) be the third derivative of -9*l**8/448 + l**7/14 - 13*l**6/160 + l**5/40 + 2*l**2. Factor o(u).
-3*u**2*(u - 1)**2*(9*u - 2)/4
Let v = -40/17 - -474/187. Let u = 1091/2849 + -5/259. Factor u*q**2 - 2/11*q**3 + v*q - 4/11.
-2*(q - 2)*(q - 1)*(q + 1)/11
Let m(h) = -4*h**3 + 5*h**2 + 16*h + 25. Let u(x) = -2*x**3 + 2*x**2 + 8*x + 12. Let v(b) = 4*m(b) - 9*u(b). Let v(w) = 0. Calculate w.
-2, -1, 2
Factor 2/9*p**2 - 2/9*p - 4/3.
2*(p - 3)*(p + 2)/9
Suppose n + 4*v - 25 = -0*n, 5*n - 29 = 4*v. Solve 9*o**2 + 19 + n*o**2 - 12*o - 17 = 0 for o.
1/3
Let j(s) be the first derivative of -s**4/12 - 2*s**3/9 - s**2/6 + 5. Suppose j(l) = 0. What is l?
-1, 0
Let u(q) be the first derivative of q**5/20 + 3*q**4/4 + 9*q**3/2 - 5*q**2/2 + 5. Let r(y) be the second derivative of u(y). Factor r(k).
3*(k + 3)**2
Let c(y) = 6*y**2 + 13*y + 7. Let q(m) = 3*m**2 + 6*m + 3. Let n(d) = -3*c(d) + 5*q(d). Factor n(l).
-3*(l + 1)*(l + 2)
Let g(y) be the first derivative of 7*y**7/120 + 7*y**6/120 + y**5/60 + y**2 + 4. Let c(u) be the second derivative of g(u). Factor c(x).
x**2*(7*x + 2)**2/4
Let y be (-24)/9 - (-4 - 0). Let a(z) be the first derivative of 0*z - z**2 + y*z**3 + 3/2*z**4 + 1. Let a(g) = 0. Calculate g.
-1, 0, 1/3
Let m(d) = 3*d**2 - 6*d + 12. Let y be m(6). Let a be (y/8)/(9/4). Let 2/3*s**2 + 0*s - a*s**4 - 4/3*s**3 - 8/3*s**5 + 0 = 0. Calculate s.
-1, 0, 1/4
Let k(o) be the third derivative of -o**7/10 - o**6/8 + o**5/10 - 3*o**2. Factor k(i).
-3*i**2*(i + 1)*(7*i - 2)
Let y(s) = 20*s**2 + 11*s + 3. Let m(b) = -11*b**2 - 5. Let d(j) = 10*j**2 + j + 4. Let x(h) = 4*d(h) + 3*m(h). Let a(p) = 17*x(p) - 6*y(p). Factor a(w).
-(w - 1)**2
Factor 0*q + 0*q**2 + 1/2*q**3 + 0 + 1/2*q**4.
q**3*(q + 1)/2
Let -4/7*g + 4/7*g**2 + 4/7*g**3 - 4/7 = 0. Calculate g.
-1, 1
Let p = -288 + 5767/20. Let s(d) be the second derivative of 37/36*d**4 - d - p*d**5 - 4/3*d**3 + 2/3*d**2 + 0 + 2/45*d**6. Factor s(i).
(i - 2)**2*(i - 1)*(4*i - 1)/3
Let g be 64/12*9*2/60. Factor 8/5 + 2/5*w**2 - g*w.
2*(w - 2)**2/5
Let p(v) = 5*v**2 + 3*v + 4. Let o(y) = -4*y**2 - 2*y - 3. Let f(l) = 4*o(l) + 3*p(l). Suppose f(k) = 0. Calculate k.
0, 1
Let c(j) be the second derivative of -j**8/5040 + j**7/2520 - j**3/6 + 2*j. Let s(u) be the second derivative of c(u). Factor s(a).
-a**3*(a - 1)/3
Let x(u) be the third derivative of -u**6/200 + u**5/25 - u**4/8 + u**3/5 - 31*u**2. Solve x(f) = 0.
1, 2
Let o(g) be the first derivative of -g**4/4 - g**3/2 + 3*g**2 - 3*g - 3. Let l(k) be the first derivative of o(k). Suppose l(s) = 0. What is s?
-2, 1
Let g(y) be the second derivative of 2*y + 7/2*y**3 + 0 - 3/2*y**2 - 7/2*y**4 + 6/5*y**5. Solve g(k) = 0 for k.
1/4, 1/2, 1
Let r be 9/((-567)/(-14)) + 4/9. Factor -1/3 - 1/3*h**2 - r*h.
-(h + 1)**2/3
Let k(y) be the second derivative of -y**8/840 + y**7/315 - y**6/540 - y**3/2 - 2*y. Let r(j) be the second derivative of k(j). Factor r(q).
-2*q**2*(q - 1)*(3*q - 1)/3
Suppose 1/2 + q - q**3 - 1/2*q**2 = 0. What is q?
-1, -1/2, 1
Let v(x) be the second derivative of x**5/5 - 2*x**3 + 4*x**2 + 27*x. Factor v(u).
4*(u - 1)**2*(u + 2)
Let d(j) = -j**2 + 0 + 0. Let z(r) = 6*r**2 + 2*r + 4. Suppose -y = 4*u + 31, -3*u - 2*y - 19 = 3*y. Let c(x) = u*d(x) - z(x). Factor c(t).
2*(t - 2)*(t + 1)
Let q(x) be the first derivative of x**4 - 2*x**2 + 17. Suppose q(a) = 0. What is a?
-1, 0, 1
Let b(w) be the first derivative of -2*w**3/21 + w**2/7 - 30. Factor b(h).
-2*h*(h - 1)/7
Let c be (-18)/27*(31 + -1). Let z be ((-14)/35)/(2/c). Factor 2/5*g**z + 16/5*g**2 + 2*g**3 + 8/5*g + 0.
2*g*(g + 1)*(g + 2)**2/5
Let j(y) be the second derivative of -5*y - 1/160*y**5 + 1/48*y**4 - 1/48*y**3 + 0 + 0*y**2. Find x such that j(x) = 0.
0, 1
Let y(o) = -o**3 + 4*o**2 - o - 4. Let x be y(3). Factor 22*m**2 - 23*m**x - 2*m + m.
-m*(m + 1)
Factor 22*f**2 - 2 - 1 - 20*f**2 + 1.
2*(f - 1)*(f + 1)
Let o(d) be the third derivative of d**8/840 - d**7/105 + d**6/30 - d**5/15 + d**4/12 + d**3/3 + 2*d**2. Let u(x) be the first derivative of o(x). Factor u(z).
2*(z - 1)**4
Factor 0*d + 0*d**2 + 0*d**3 + 4/7*d**4 + 2/7*d**5 + 0.
2*d**4*(d + 2)/7
Factor 16*z**3 - 6*z**4 - 4*z**3 - 12*z**2 + 4*z + 2*z**4.
-4*z*(z - 1)**3
Let s(p) be the third derivative of -p**6/180 + 2*p**5/45 + p**4/36 - 4*p**3/9 + 10*p**2. Factor s(a).
-2*(a - 4)*(a - 1)*(a + 1)/3
Let u(t) be the third derivative of t**6/168 + t**5/210 - 3*t**2. Suppose u(f) = 0. What is f?
-2/5, 0
Let 0*f - 8/7 + 2/7*f**2 = 0. Calculate f.
-2, 2
Let q(r) = -r**2 + r + 1. Let p(j) = 2*j**3 + 7*j**2 + 19*j + 11. Let w(i) = -p(i) + 3*q(i). Find n such that w(n) = 0.
-2, -1
Let n(z) = 2*z**3 - z**2 + 2*z + 5. Let g(m) = -3*m**2 + 2*m**2 + 7 + 0*m**3 - 2*m**3 + 3*m + 5*m**3. Let r(h) = -5*g(h) + 7*n(h). Factor r(d).
-d*(d + 1)**2
Let w(q) be the first derivative of 3/2*q**2 + 1/12*q**3 - 1/240*q**5 - 1 - 1/96*q**4 + 0*q. Let j(l) be the second derivative of w(l). Solve j(g) = 0.
-2, 1
Let b = 57 + -341/6. Determine a, given that b*a**2 - 1/3*a**3 + 1/6*a**4 + 0*a + 0 = 0.
0, 1
Let u(c) be the first derivative of 22*c**3/51 + 13*c**2/17 + 4*c/17 + 2. Factor u(j).
2*(j + 1)*(11*j + 2)/17
Factor 10/3*g**4 + 0*g + 0 + 2*g**3 - 4/3*g**2.
2*g**2*(g + 1)*(5*g - 2)/3
Let f(d) be the second derivative of 1/3*d**4 - 4*d - 2/3*d**3 + 0 + 0*d**2 + 1/5*d**5 - 2/15*d**6. Factor f(b).
-4*b*(b - 1)**2*(b + 1)
Let g(b) = -b**2 + 6*b. Let p be g(5). Factor -v**4 - 3*v**3 - p*v**2 - 2*v - 6*v**3 + v**3 + 4*v**3.
-v*(v + 1)**2*(v + 2)
Let m(x) be the second derivative of -x**6/255 - x**5/85 + 2*x**3/51 + x**2/17 - 6*x. Factor m(f).
-2*(f - 1)*(f + 1)**3/17
Let b(q) be the second derivative of q**5/120 - q**4/36 + q**3/36 - 29*q. Determine l, given that b(l) = 0.
0, 1
Let a(d) be the third derivative of d**6/60 + 2*d**5/15 + 5*d**4/12 + 2*d**3/3 - 22*d**2 + 1. Solve a(i) = 0.
-2, -1
Suppose 0*n + 28 = -3*m + 5*n, 3*n = 6. Let i(y) = 2*y**2 - y. Let s(z) = 2*z**2 - 2*z. Let h(p) = m*i(p) + 5*s(p). Factor h(l).
-2*l*(l + 2)
Factor 0 + 12/7*h**2 + 10/7*h + 2/7*h**3.
2*h*(h + 1)*(h + 5)/7
Let s = 93 - 91. Factor 0 + 1/3*c**s - 1/6*c**3 + 0*c.
-c**2*(c - 2)/6
Suppose -3/4*p**2 - 3/4*p**3 + 0 + 3/4*p + 3/4*p**4 = 0. What is p?
-1, 0, 1
Factor 11*o**4 + 0*o**5 - 3*o**3 - o**5 - 8*o**4 + 4*o + 4*o**2 - 7*o**4.
-o*(o - 1)*(o + 1)*(o + 2)**2
Let m = -130/47 + 2442/611. What is r in m*r + 32/13 + 2/13*r**2 = 0?
-4
Let m(c) be the third derivative of -c**5/330 + c**3/33 + 6*c**2. Factor m(l).
-2*(l - 1)*(l + 1)/11
Let q(k) be the first derivative of 0*k + 2/11*k**3 + 3 + 1/11*k**2. What is b in q(b) = 0?
-1/3, 0
Let p be 0 - -3 - (3 - 4). Let o(q) be the first derivative of 0*q - 6/5*q**5 + 2 - 8/21*q**3 + 1