**3.
-(g + 1)**3
Let b be 1*-5 + (-25)/(7 + -12). Factor -8/5*a**4 - 18/5*a + b - 10*a**3 - 84/5*a**2.
-2*a*(a + 3)**2*(4*a + 1)/5
Let d(z) = 34*z**3 - 26*z**2 - 78*z - 30. Let x(w) = 33*w**3 - 27*w**2 - 77*w - 29. Let r(v) = -3*d(v) + 2*x(v). Let r(s) = 0. What is s?
-2/3, 2
Let f = -75607 - -829820/11. Let v = 169 + f. Suppose 4/11*n - v*n**3 + 0 + 2/11*n**2 = 0. Calculate n.
-1, 0, 2
Let u(g) be the first derivative of -3*g**5/20 + g**4/2 - g**3/2 - g - 4. Let o(j) be the first derivative of u(j). Let o(r) = 0. What is r?
0, 1
Suppose -a + 4 = 4*k, 4*a - 3*a - 4 = -3*k. Let 2 + 2 - a - 7*v**2 + 16*v**4 - 8*v**3 - v = 0. What is v?
-1/4, 0, 1
Let f(y) be the second derivative of -y**4/6 - 4*y**3/3 - 4*y**2 - 12*y. Factor f(i).
-2*(i + 2)**2
Let a be (-3)/(-1)*7/35. Let n be (-6)/(-9) + 1/(-15). Suppose 0 + n*b**2 + 1/5*b + a*b**3 + 1/5*b**4 = 0. Calculate b.
-1, 0
Let j(i) be the second derivative of -i**6/30 + 3*i**5/5 - 3*i**4 - i + 14. Factor j(r).
-r**2*(r - 6)**2
Let g = -1391926 + 572080201/411. Let r = -5/137 - g. Factor 10/3*j**4 + r*j + 2/3 + 20/3*j**3 + 20/3*j**2 + 2/3*j**5.
2*(j + 1)**5/3
Suppose b + 20 = -h + 3*b, h = -4*b - 44. Let k be 16/42*(-21)/h. Find o such that 0 + k*o - 2/7*o**2 = 0.
0, 1
Solve 15/2*d**2 - 3/2*d**3 + 6 - 12*d = 0 for d.
1, 2
Let l be (-3)/(-4) - ((-363)/(-60))/11. Solve 0 + 0*c - l*c**2 = 0 for c.
0
Let w(n) = -9*n**2 + 4*n - 9. Let x = -12 + 8. Let m(z) = 5*z**2 - 2*z + 5. Let s = -1 + -6. Let a(i) = s*m(i) + x*w(i). Factor a(u).
(u - 1)**2
Let k(m) be the second derivative of 3/20*m**5 + 0 + 3/2*m**3 - m**2 + 3*m - 5/6*m**4. Factor k(q).
(q - 2)*(q - 1)*(3*q - 1)
Let 3*j - 8*j**4 - 20*j**3 - 12*j**2 - j + 4 + 2*j = 0. Calculate j.
-1, 1/2
Let r(u) be the third derivative of u**7/1260 - u**6/540 + u**3/3 + 7*u**2. Let w(b) be the first derivative of r(b). Solve w(x) = 0 for x.
0, 1
Factor -30/19*f**2 - 2/19 - 8/19*f**4 + 26/19*f**3 + 14/19*f.
-2*(f - 1)**3*(4*f - 1)/19
Let x(c) be the third derivative of -c**8/504 + c**7/63 + c**6/20 - 9*c**5/10 + 3*c**4 + 37*c**2 + 2*c. Factor x(s).
-2*s*(s - 3)**3*(s + 4)/3
Factor 16*s + 32*s - 34 - 2*s**2 - 12*s.
-2*(s - 17)*(s - 1)
Suppose 14*x = 17 + 11. Factor -1/4*f**x - 1/4 + 1/2*f.
-(f - 1)**2/4
Let g(f) be the third derivative of -f**7/420 + f**6/96 - f**5/80 - f**4/96 + f**3/24 - 5*f**2. Factor g(y).
-(y - 1)**3*(2*y + 1)/4
Let u(y) be the second derivative of -y**4/42 - y**3/7 + 4*y**2/7 - 3*y - 1. Factor u(w).
-2*(w - 1)*(w + 4)/7
Let n(b) be the third derivative of b**9/6048 + b**8/1680 - b**6/360 - b**5/240 - 2*b**3/3 + 5*b**2. Let z(w) be the first derivative of n(w). Factor z(c).
c*(c - 1)*(c + 1)**3/2
Suppose -20 = -6*m + m. Determine r so that -r**2 - 3*r**2 + m + 8*r + 2*r**2 - 10*r = 0.
-2, 1
Factor u**2 + 0 - 1/2*u**3 + 3/2*u.
-u*(u - 3)*(u + 1)/2
Let n(h) = -h**2 - 8*h + 11. Suppose -8 = -4*l - 44. Let r be n(l). Factor 2/7 + 8/7*d**r - 10/7*d.
2*(d - 1)*(4*d - 1)/7
Suppose -3 = 3*q - 9. Suppose -4*f**q + 4*f**2 - 2*f**2 - 4*f + 1 - 3 = 0. Calculate f.
-1
Let w be (-408)/(-66) + (-2)/11. Let k(r) be the first derivative of -w*r**2 + 4*r + 5/3*r**3 + 3*r**4 + 3 - 9/5*r**5. Suppose k(b) = 0. What is b?
-1, 2/3, 1
Let g(d) be the second derivative of d**8/6720 + d**7/630 + d**6/144 + d**5/60 + d**4/4 - d. Let a(k) be the third derivative of g(k). Factor a(l).
(l + 1)**2*(l + 2)
Let o(z) be the second derivative of z**7/980 - z**6/180 + z**5/84 - z**4/84 - 2*z**3/3 - z. Let l(v) be the second derivative of o(v). Factor l(i).
2*(i - 1)**2*(3*i - 1)/7
Let y(v) = -148*v**3 - v**2 + v. Let q be y(1). Let c = 1040/7 + q. Solve 0 - 2/7*s**3 - c*s**4 - 2/7*s**5 + 0*s**2 + 0*s = 0.
-1, 0
Suppose -7*x**3 - x**4 + x**2 - x**5 + 8*x**3 + 0*x**5 = 0. Calculate x.
-1, 0, 1
Let u(o) be the first derivative of -o**6/2 + 12*o**5/5 - 9*o**4/2 + 4*o**3 - 3*o**2/2 - 18. Determine w, given that u(w) = 0.
0, 1
Determine n, given that -2/5*n**3 - 16/5*n**2 - 12/5 - 26/5*n = 0.
-6, -1
Suppose 2*d + 0*d = 6. Suppose 5*s - n - 10 = 0, -4*s - d*n = -5 - 3. Solve 2*i**3 - 5*i**2 + 2*i**s + 0*i**3 + 5*i**2 = 0.
-1, 0
Let j(y) = -10*y**5 + 73*y**4 - 126*y**3 + 27*y**2 + 2*y - 2. Let r(v) = -v**5 + v**4 - v + 1. Let q(n) = -j(n) - 2*r(n). Find h, given that q(h) = 0.
0, 1/4, 3
Let g be 21 + 105/28*6/15. Factor g*c**3 - 27/2*c**4 + 0 - 21/2*c**2 + 3/2*c.
-3*c*(c - 1)*(3*c - 1)**2/2
Let q(d) be the third derivative of -1/420*d**7 - 1/20*d**5 - 1/60*d**6 + 0 + d**2 - 1/12*d**3 - 1/12*d**4 + 0*d. Factor q(y).
-(y + 1)**4/2
Let o(r) be the first derivative of -2 - 7/8*r**2 - 1/2*r + 1/3*r**3. Factor o(w).
(w - 2)*(4*w + 1)/4
Let l(q) = -7*q**3 + 59*q**2 - 196*q + 3. Let v(y) = -36*y**3 + 296*y**2 - 980*y + 16. Let o(p) = 16*l(p) - 3*v(p). Factor o(u).
-4*u*(u - 7)**2
Suppose 5*w = 2*w + 6. Factor 11*a**2 - a + w*a**4 - 13*a**2 + a.
2*a**2*(a - 1)*(a + 1)
Factor 2*r**3 + 2/3*r**5 + 0 - 2/3*r**2 + 0*r - 2*r**4.
2*r**2*(r - 1)**3/3
Suppose 4*k - 18 = -6. Suppose 2*z = -2*x, -5*x + 0*x - k = 4*z. Let -2*n + 4*n - 3*n + n**z = 0. What is n?
-1, 0, 1
Let h(x) = -9*x**2 - 3*x - 9. Let p(n) = -22*n**2 - 8*n - 22. Let d(s) = -12*h(s) + 5*p(s). Factor d(y).
-2*(y + 1)**2
Let k(v) be the first derivative of -v**5/90 + v**4/18 - v**3/9 + v**2/9 + v + 2. Let n(r) be the first derivative of k(r). Find t such that n(t) = 0.
1
Let l(d) be the first derivative of -4*d**3/9 + 12*d - 51. What is b in l(b) = 0?
-3, 3
Let i = 10 - 166. Let s be 26/i - 4/(-6). Let 1/2*n + 3/2*n**3 + 0 + s*n**4 + 3/2*n**2 = 0. Calculate n.
-1, 0
Let p be 6 - 6 - (-1 - -1). Let l be p/(1*(1 - -1)). Suppose 2/9*m**3 + l + 0*m**2 - 2/9*m = 0. What is m?
-1, 0, 1
Factor 22/9*j - 4/9*j**2 + 4/3.
-2*(j - 6)*(2*j + 1)/9
Determine c, given that -8/9*c - 8/9 - 2/9*c**2 = 0.
-2
Let o be 28/8 + (-2)/(-4). Factor 2*h - o - 7*h - 2*h**2 + 3*h - 4*h.
-2*(h + 1)*(h + 2)
Let d be (-214)/(-90) - (-9)/(-15). Let f = d + -55/36. Suppose 0 + 5/4*m**2 - f*m = 0. Calculate m.
0, 1/5
Suppose 0*w = 4*w - 24. Suppose g + 5 = -2*y, -4*y + 2*g + 16 = w. Suppose -2/5*f**5 + 0*f + y + 0*f**2 + 0*f**3 - 2/5*f**4 = 0. Calculate f.
-1, 0
Let l(s) be the third derivative of s**7/70 + s**6/20 - s**4/4 - s**3/2 + 14*s**2. Solve l(w) = 0 for w.
-1, 1
Suppose 1 = -b + 4. What is g in -g**2 + 2*g - 4*g - 3*g**2 + b*g**2 - 1 = 0?
-1
Factor -3/2*k**3 + 3/8*k**2 + 3/8*k**4 + 9/4*k + 0.
3*k*(k - 3)*(k - 2)*(k + 1)/8
Let q(a) be the third derivative of a**8/7560 - a**7/945 + a**6/540 - 4*a**3/3 + 2*a**2. Let d(j) be the first derivative of q(j). Suppose d(p) = 0. What is p?
0, 1, 3
Let p(x) = -x - 3. Let j be p(-3). Suppose 0*m + 4*m - 12 = j. Factor -w**5 + 3*w**4 - 2*w**3 - w**3 + m*w + w**3 - 2*w**2 - 1.
-(w - 1)**4*(w + 1)
Suppose 3 = 4*h - 5. Let x = h + 1. Factor 4*f**3 + 10*f**4 + 17*f**3 - 7*f**x + 4*f**2.
2*f**2*(f + 1)*(5*f + 2)
Let s = 10 + -8. Factor -1 + 8*t + 4 + 0 + 5 - s*t**2 - 2*t**3.
-2*(t - 2)*(t + 1)*(t + 2)
Let f(l) = -2*l + 2. Let z be f(-6). Suppose z + 6 = 5*m. Factor -2/5*c**5 - 4/5*c**2 - 8/5*c**m + 0 - 2*c**3 + 0*c.
-2*c**2*(c + 1)**2*(c + 2)/5
Let y(j) be the first derivative of -2*j**3/27 + 2*j**2/9 - 50. Factor y(c).
-2*c*(c - 2)/9
Solve 64/3 + 4/3*f**2 + 32/3*f = 0 for f.
-4
Let h(w) = -w**2 - 2*w - 3. Let y(u) = 3*u - 5*u + 0*u + 0*u**2 - u**2 - 4. Let b(t) = -3*h(t) + 2*y(t). Factor b(d).
(d + 1)**2
Suppose -2*b + j - 3*j = -8, 0 = 3*j - 6. Suppose -3*x + 2*x = -b. Factor 2/3*d**3 - x*d**5 - 8/3*d**4 + 0 + 0*d + 4/3*d**2.
-2*d**2*(d + 1)**2*(3*d - 2)/3
Let k(v) = -v - 1. Let s be k(1). Let i be -1 - 0 - s - 0. Factor -3/2*l + l**2 - i + 3/2*l**3.
(l - 1)*(l + 1)*(3*l + 2)/2
Let s(a) = -1. Let b(u) = -3*u**2 + 3*u + 24. Let c(f) = -b(f) - 18*s(f). Suppose c(t) = 0. What is t?
-1, 2
Let d(z) = 0 + 7 - 5*z + z + 5*z. Let l be d(-5). Factor 0*t**l + 0 - 2/5*t**3 + 2/5*t.
-2*t*(t - 1)*(t + 1)/5
Let f = 896 - 2684/3. Suppose 14/3*k + f*k**4 - 8/3*k**2 - 28/3*k**3 + 4/3 + 14/3*k**5 = 0. What is k?
-1, -2/7, 1
Let z(w) be the first derivative of -w**4/10 + 4*w**3/5 - 12*w**2/5 + 16*w/5 - 7. Factor z(j).
-2*(j - 2)**3/5
Suppose -4*l + 4 = -4. Suppose -2*z**4 - 5*z**2 - 17*z**3 - 4*z - 15*z**l - 2*z**4 = 0. Calculate z.
-2, -1/4, 0
Let g be (0*(-3)/6)/(-2). Suppose -3*s + s + 4 = g. Suppose 6*h**s - 2*h**2 - 2 + 3*h**3 - 9*h + 8*h = 0. Cal