2.
-a**2*(a - 3)/4
Let w = 7 - 4. Suppose w*r - 2*x - x = -12, -3*r + 20 = 5*x. Solve 1/2*n**4 + 3/4*n**3 + r*n + 0 - 1/2*n**2 - 3/4*n**5 = 0 for n.
-1, 0, 2/3, 1
Let r(l) = -l**2 - l - 3. Let a(g) = -2*g - 2. Let q = 1 + 1. Let x(f) = q*r(f) - 3*a(f). Solve x(y) = 0.
0, 2
Let q = -24/5 + 28/5. Factor q*r**3 - 2/5*r + 0*r**4 - 2/5*r**5 + 0 + 0*r**2.
-2*r*(r - 1)**2*(r + 1)**2/5
Let q(x) = -2*x - 5. Suppose 5*j = -25 + 5. Let n be q(j). Solve 24*l**3 + 5*l**n + 56*l**5 - 9*l + 96*l**4 - 6*l**2 + 9*l**3 + 5*l = 0 for l.
-1, -1/2, 0, 2/7
Let v(z) = -22*z**3 - 23*z**2 - 15*z - 7. Let a(b) = 15*b**3 + 15*b**2 + 10*b + 5. Let s(m) = -7*a(m) - 5*v(m). Factor s(c).
5*c*(c + 1)**2
Let n = 5 + -5. Let x = 1 - n. Factor x - 3 + 2*i**2 - 3*i**2 - 3*i.
-(i + 1)*(i + 2)
Suppose -3*s = s - 440. Let f = s - 326/3. Let -1/3 - f*k - k**2 = 0. Calculate k.
-1, -1/3
Let z(u) be the first derivative of 2/5*u**5 + 16/3*u**3 - 3 - 4*u**2 - 5/2*u**4 + 0*u. Suppose z(r) = 0. Calculate r.
0, 1, 2
Let n = -19/6 - -11/3. Let o(x) be the second derivative of -x + 0 - n*x**3 - 1/20*x**5 - 1/2*x**2 - 1/4*x**4. Find h, given that o(h) = 0.
-1
Let q be (2/4)/((-2)/(-16)). Let b = q + -2. Suppose -d**4 - d**2 + 0*d**4 + b*d**3 + 0*d**2 = 0. What is d?
0, 1
Let j(m) be the third derivative of m**6/120 - m**5/60 - 5*m**4/24 - m**3/2 + 2*m**2. Solve j(d) = 0.
-1, 3
Suppose 0 + 3/4*x**3 + 0*x**2 - 3/4*x = 0. Calculate x.
-1, 0, 1
Let j be ((-13)/26)/((-7)/12). Find s, given that 2/7*s - j*s**5 + 0 + 0*s**2 + 16/7*s**4 - 12/7*s**3 = 0.
-1/3, 0, 1
Let m(h) = -h - 6. Let s be m(-9). Factor 18 - 14 + s*n**2 - 2*n - 9*n**2.
-2*(n + 1)*(3*n - 2)
Let o(t) = -t. Let p(x) = 3*x**2 - 4*x - 9. Let n(g) = -9*g**2 + 12*g + 26. Let y(h) = -6*n(h) - 17*p(h). Let f(l) = -4*o(l) + y(l). Factor f(r).
3*(r - 1)*(r + 1)
Determine y so that -39/8*y**3 - 3/8*y**5 + 9/4*y**4 + 0 - 3/2*y + 9/2*y**2 = 0.
0, 1, 2
Factor -2/5*b**2 + 1/5*b + 2/5 - 1/5*b**3.
-(b - 1)*(b + 1)*(b + 2)/5
Suppose 0 = -5*v + 4*s + 26, 3*v + 2*v = 5*s + 30. What is h in -h**2 - h**3 - 1 + 1 + 1 + v*h**3 - h = 0?
-1, 1
Solve 3*w**3 - 117*w - 8*w**3 - 10*w**2 + 132*w = 0 for w.
-3, 0, 1
Let w(r) be the third derivative of r**6/1020 - r**5/510 - r**4/204 + r**3/51 - 12*r**2. Factor w(u).
2*(u - 1)**2*(u + 1)/17
Let y(v) = -9*v**2 + 3*v + 2. Let s(r) = 19*r**2 - 7*r - 5. Let q(l) = -4*s(l) - 10*y(l). Suppose q(a) = 0. Calculate a.
0, 1/7
Let f be (-7)/((-147)/(-93)) + 5. Let 0 + 2/7*y**3 + 2/7*y**2 - f*y = 0. Calculate y.
-2, 0, 1
Let i(f) be the second derivative of -1/48*f**4 - 3*f + 1/8*f**2 + 0 + 1/6*f**3 - 1/20*f**5. What is t in i(t) = 0?
-1, -1/4, 1
Let q(w) be the third derivative of w**8/504 - 2*w**7/315 - w**6/45 + w**5/45 + w**4/12 + 4*w**2. Solve q(f) = 0.
-1, 0, 1, 3
Let d(r) be the first derivative of -r**7/735 - r**6/210 - r**5/210 - 3*r**2/2 + 2. Let b(x) be the second derivative of d(x). Solve b(j) = 0.
-1, 0
Let n(y) be the first derivative of -4*y**5/5 + 8*y**3/3 - 4*y + 16. Factor n(p).
-4*(p - 1)**2*(p + 1)**2
Factor 9*n**3 + 3*n**2 + 3*n**5 + 0*n**2 + 15*n**4 - 6*n**4.
3*n**2*(n + 1)**3
Let y be (-47)/(-52) - ((-80)/65)/(-8). Determine c so that -1/2*c**2 - 1/2*c**3 - 1/4 - 1/4*c**5 + y*c + 3/4*c**4 = 0.
-1, 1
Let a(m) = m**2 + 2*m - 6. Let j be a(-4). Let 4*t**j + 0*t + 8/3*t**3 - 4/3 = 0. What is t?
-1, 1/2
Suppose -16 = -4*v - 0. Let f(z) be the first derivative of -5/9*z**2 - 1/6*z**v - 14/27*z**3 - 1 - 2/9*z. Suppose f(w) = 0. What is w?
-1, -1/3
Let v = -2/107 - -220/321. Let k(x) be the first derivative of 0*x + v*x**3 + 1/2*x**4 + 2 + 0*x**2. Suppose k(h) = 0. What is h?
-1, 0
Let j(g) be the first derivative of -g**7/2520 - g**6/180 - g**5/30 - g**4/9 + 7*g**3/3 + 5. Let h(s) be the third derivative of j(s). Factor h(x).
-(x + 2)**3/3
Let b(d) = -d**2 - d + 1. Let i be 18/45 + (-64)/10. Let l(z) = -2*z**2 - z + 4. Let o(s) = i*b(s) + 2*l(s). Suppose o(x) = 0. Calculate x.
-1
Let f(p) = 4*p**2 - 4*p + 2. Let g be (-2)/4*(-1 - 3). Let h(m) = -5*m**2 + 5*m - 3. Let r(j) = g*h(j) + 3*f(j). Suppose r(z) = 0. Calculate z.
0, 1
Suppose 0 = -0*b + 7*b. Let r(a) be the third derivative of -1/60*a**4 + 0*a + b*a**3 + 0 - 1/150*a**5 + 3*a**2. Solve r(o) = 0.
-1, 0
Let o = 133/5 - 26. Suppose 6/5*h**2 + o - 9/5*h = 0. Calculate h.
1/2, 1
Let a(x) = -96*x**2 + 57*x - 15. Let p(y) = 48*y**2 - 29*y + 8. Let c(d) = -5*a(d) - 9*p(d). Solve c(r) = 0.
1/4
Let x(n) = n**2 - 6*n + 1. Let c(v) = v**2 + v. Let w(h) = -2*c(h) - x(h). Factor w(z).
-(z - 1)*(3*z - 1)
Let x(v) be the second derivative of 0 + 0*v**4 + 1/20*v**5 - 1/6*v**3 + 0*v**2 + 4*v. Find q, given that x(q) = 0.
-1, 0, 1
Suppose -90 = -5*a - 4*l, 4*l = -3*a + 27 + 35. Let c be (-20)/(-6) - (-12 + a). What is s in 14/3*s**2 - 6*s**5 - c*s - 14/3*s**4 + 22/3*s**3 + 0 = 0?
-1, 0, 2/9, 1
Let g be 2 + -2 - ((-40)/(-12))/(-5). Suppose 9 = 4*t - t. Solve 0*x + 0*x**2 + g*x**t + 0 = 0.
0
What is h in 0 - h**2 + 1/2*h**3 - 1/2*h**5 + h**4 + 0*h = 0?
-1, 0, 1, 2
Let y(v) be the third derivative of -1/96*v**4 + 1/12*v**3 - 5*v**2 - 1/240*v**5 + 0 + 0*v. Solve y(h) = 0.
-2, 1
Let s(l) be the second derivative of 2*l**7/21 + 2*l**6/5 + 3*l**5/5 + l**4/3 - 7*l. Suppose s(v) = 0. Calculate v.
-1, 0
Let s(k) be the third derivative of 0*k**5 + 0*k**3 + 5*k**2 + 1/540*k**6 + 0*k - 1/108*k**4 + 0. Factor s(u).
2*u*(u - 1)*(u + 1)/9
Let b(l) be the first derivative of -2*l**5/45 - 5*l**4/18 - 2*l**3/9 + l**2 - 18. Factor b(n).
-2*n*(n - 1)*(n + 3)**2/9
Let z(t) be the first derivative of 0*t**3 - 4/5*t**2 - 2 - 2/25*t**5 + 0*t + 3/10*t**4. Factor z(c).
-2*c*(c - 2)**2*(c + 1)/5
Find n, given that 0 + 14/3*n - 2/3*n**2 = 0.
0, 7
Let f(q) be the third derivative of q**5/30 - q**4/4 + 2*q**3/3 - 11*q**2. Determine z, given that f(z) = 0.
1, 2
Let u = 71 + -71. Let 1/4*x**2 + 0*x - 1/2*x**3 + u = 0. What is x?
0, 1/2
Let a(i) = 3*i**2 - 3*i - 4. Let n(q) = -7*q**2 + 7*q + 4. Let r(w) = -7*w**2 + 7*w + 3. Let m(o) = 6*n(o) - 5*r(o). Let z(g) = 9*a(g) + 4*m(g). Factor z(y).
-y*(y - 1)
Let u(t) be the second derivative of -t**6/1980 - t**5/220 - t**4/66 - 5*t**3/3 + 4*t. Let d(z) be the second derivative of u(z). Solve d(g) = 0 for g.
-2, -1
Let n(z) be the first derivative of -11*z**4/46 - 16*z**3/23 - 15*z**2/23 - 4*z/23 - 19. Factor n(q).
-2*(q + 1)**2*(11*q + 2)/23
Let n(y) = -2*y**5 - 22*y**4 - 42*y**3 - 26*y**2 - 16*y. Let b(k) = -2*k**5 - 21*k**4 - 41*k**3 - 27*k**2 - 15*k. Let l(c) = -6*b(c) + 5*n(c). Solve l(d) = 0.
-5, -1, 0
Let g(l) be the second derivative of l**7/147 - 2*l**6/105 - 3*l**5/70 + 2*l**4/21 + 4*l**3/21 + 14*l. What is o in g(o) = 0?
-1, 0, 2
Let k(c) = c**2 + c + 1. Let m(i) = -i**3 - 2*i**2 - 8*i - 4. Let l(q) = 12*k(q) - 3*m(q). Let l(r) = 0. Calculate r.
-2
Find y such that 16/3*y**3 - 14/3*y**2 + 4/3*y - 2*y**4 + 0 = 0.
0, 2/3, 1
Let u(c) be the second derivative of -5*c**4/18 + 8*c**3/9 + 4*c**2/3 + 31*c. Find t such that u(t) = 0.
-2/5, 2
Let j(l) be the second derivative of l**5/35 + 2*l**4/21 - 2*l**3/21 - 4*l**2/7 - 18*l. What is d in j(d) = 0?
-2, -1, 1
Let g(t) be the third derivative of t**10/50400 + t**9/10080 - 2*t**5/15 + 7*t**2. Let v(m) be the third derivative of g(m). Factor v(j).
3*j**3*(j + 2)
Let h = 109 + -105. Let f(r) be the second derivative of 1/8*r**2 - r + 0 + 0*r**3 - 1/48*r**h. Factor f(u).
-(u - 1)*(u + 1)/4
Let y(n) = -5*n**2 - 8*n. Let i(l) = -15*l**2 - 23*l. Let d(j) = 3*i(j) - 8*y(j). Determine z, given that d(z) = 0.
-1, 0
Let h be 4/3 - 1/(-6). Find q such that -9/2*q**4 + h*q**2 + 3 + 15/2*q**3 - 15/2*q = 0.
-1, 2/3, 1
Let u(d) = 5*d**3 - 3*d + 2. Let v be u(1). Factor 2*r**3 + v*r**2 - 65*r + 65*r.
2*r**2*(r + 2)
Let s(j) be the third derivative of j**8/420 + j**7/175 - j**5/150 + 2*j**2. Let s(k) = 0. What is k?
-1, 0, 1/2
Suppose 31 = 2*i - 5*d, 7*i - 32 = 3*i + 4*d. Factor 12*z**2 + 6*z**4 + z + 12*z**i + 3*z + z**4 - 3*z**4.
4*z*(z + 1)**3
Let n(m) be the second derivative of 0*m**4 - 1/39*m**7 + 0*m**2 - 5*m + 1/39*m**6 + 1/65*m**5 + 0 + 0*m**3. Factor n(l).
-2*l**3*(l - 1)*(7*l + 2)/13
Let k be 2/(-10)*(-5)/12. Let l(r) be the second derivative of 0*r**2 + 0*r**3 - 1/20*r**5 - k*r**4 - r + 0. Suppose l(q) = 0. Calculate q.
-1, 0
Let w(t) be the second derivative of t**6/30 - t**5/20 - t**4/12 + t**2/2 + 3*t. Let 