ctor y(l).
(l - 1)**2*(l + 1)/3
Let f = -147 - -1765/12. Let x(z) be the third derivative of 0*z + 1/300*z**6 + 2/75*z**5 + 2/15*z**3 + 0 - 4*z**2 + f*z**4. Let x(v) = 0. Calculate v.
-2, -1
Factor -3/2*p - 3/2 + 15/2*p**2 - 9/2*p**3.
-3*(p - 1)**2*(3*p + 1)/2
Suppose -5*d = 3*h - 23, 5 + 8 = 4*d - 3*h. Let x be (1 - (1 + 2))*-1. Factor 2*y**2 - d*y**x + y**2 - y**3.
-y**2*(y + 1)
Let f = -92/7 + 95/7. Let m = 13/14 - f. Factor 2 + 2*d + m*d**2.
(d + 2)**2/2
Let y(d) be the second derivative of 0 + 9/4*d**2 + 7/24*d**4 + 5/4*d**3 + 1/40*d**5 + d. Let y(m) = 0. Calculate m.
-3, -1
Let a(b) be the second derivative of -b**8/8960 + b**6/960 + 7*b**4/12 + 5*b. Let r(w) be the third derivative of a(w). Factor r(m).
-3*m*(m - 1)*(m + 1)/4
Let o(f) = -3*f**2 - 4*f + 3*f**2 - 3*f**2. Let u(z) = -2*z**2 - 2*z. Let k(y) = 4*o(y) - 7*u(y). Determine q so that k(q) = 0.
0, 1
Let n = -82 + 248/3. Factor n*c**3 + 0*c**2 - 2/3*c + 0.
2*c*(c - 1)*(c + 1)/3
Let z(s) = -s**3 + 20*s**2 - 19*s + 3. Let d be z(19). Factor 0 - 3/2*h - 3/4*h**d - 9/4*h**2.
-3*h*(h + 1)*(h + 2)/4
Let m(i) = -6*i**3 - 2*i**2 + 1. Let p be m(-1). Let q(d) be the second derivative of 0 + 1/90*d**p - 1/9*d**2 + 1/54*d**4 - 2*d - 1/27*d**3. Factor q(z).
2*(z - 1)*(z + 1)**2/9
Suppose -1/3*h**4 + 2/3*h + 5/3*h**2 + 0 + h**3 - 1/3*h**5 = 0. What is h?
-1, 0, 2
Let v(f) = 5*f**4 - f**3 - 5*f**2 + 5*f - 4. Let r(p) = p**4 - p**2 + p - 1. Let c(s) = -4*r(s) + v(s). Let c(g) = 0. Calculate g.
-1, 0, 1
Let x be 24/108 + (-226)/(-198). Let r = x - 53/55. Find k, given that r*k**2 - 2/5*k + 0 = 0.
0, 1
Let p be 2/5*1/2. Let n = 5 + -5. Let n + 2/5*a - p*a**2 = 0. Calculate a.
0, 2
Let d = 24433/48 + -509. Let h(f) be the third derivative of 0*f**3 + 2*f**2 + 0 - d*f**4 + 1/480*f**6 + 1/240*f**5 + 0*f. Solve h(c) = 0.
-2, 0, 1
Let d(g) = -2*g + 3. Let s be d(2). Let p be 0/(s + 2) + 5. Factor x**p - 4*x**4 - 4*x**2 - 6*x**3 - 2*x**5 - x + 0*x**2.
-x*(x + 1)**4
Let x = -1142 + 3433/3. Factor -c**2 - 2/3 - x*c.
-(c + 2)*(3*c + 1)/3
Let n(z) be the first derivative of 1/2*z**2 + 4/3*z**3 - 5 + 0*z. Factor n(l).
l*(4*l + 1)
Let y(z) be the first derivative of 2*z**3/3 + 6*z**2 + 18*z + 10. Solve y(c) = 0 for c.
-3
Let l(d) = -d**3 + 2*d**2 - d. Let o(h) = -h. Let k be o(-2). Let x(m) = -2*m**3 + 4*m**2 - 2*m. Let w(c) = k*x(c) - 5*l(c). Find u, given that w(u) = 0.
0, 1
Factor 8/5*f**2 - 12/5 - 2*f.
2*(f - 2)*(4*f + 3)/5
Suppose x + 12 = -3*x + 5*q, -5*x - q + 14 = 0. Let z be 14*4/16 + x. Factor 8*a**4 - 7*a**2 + 7/2*a**5 - z*a + 2*a**3 - 1.
(a - 1)*(a + 1)**3*(7*a + 2)/2
Solve -3/2*m**3 + 3/2*m**2 + 0*m + 0 = 0.
0, 1
Let p(s) = 6*s**4 + 2*s**3 - 7*s**2 + 5*s + 1. Let u(i) = -5*i**4 - 2*i**3 + 6*i**2 - 4*i - 1. Let l = 0 + -7. Let a(c) = l*u(c) - 6*p(c). Factor a(h).
-(h - 1)**3*(h + 1)
Let g(h) be the third derivative of h**8/2688 - h**6/320 - h**5/240 + 13*h**2. Solve g(c) = 0 for c.
-1, 0, 2
Factor 2/7*z**2 + 2/7*z - 4/7.
2*(z - 1)*(z + 2)/7
Let i(s) = 8*s**4 + 20*s**3 + 24*s**2 + 12*s + 4. Let j(f) = -17*f**4 - 41*f**3 - 48*f**2 - 23*f - 8. Let q(l) = -9*i(l) - 4*j(l). Factor q(a).
-4*(a + 1)**4
Let g(l) be the first derivative of 2/3*l - 3 + 2/9*l**3 - 2/3*l**2. Let g(k) = 0. What is k?
1
What is f in -520*f**3 - 80/3*f + 640/3*f**2 + 0 - 245/3*f**5 + 1120/3*f**4 = 0?
0, 2/7, 2
Let n(o) be the third derivative of -o**5/270 + 7*o**4/18 - 49*o**3/3 - 3*o**2 + 1. Factor n(p).
-2*(p - 21)**2/9
Let m = 2 - 0. Suppose 4*t - 16 = 4*q, m*q = -0*q - 2. Suppose -y**t + 2*y + 0*y**3 - y = 0. What is y?
-1, 0, 1
Let y(k) = k + 9. Let c be y(-9). Suppose -g - 4 = -4*f, 3*g - 14 = -c*f - f. Factor -f*w + 1 + 2*w**2 + 4*w - w**2.
(w + 1)**2
Suppose -13*q + 6*q - 4*q = 0. Let 1/4*k + q - 1/4*k**2 = 0. Calculate k.
0, 1
Let i(u) = -3*u**3 + 7*u**2 - u - 7. Let h(n) = -24*n**3 + 57*n**2 - 9*n - 57. Let j(z) = 4*h(z) - 33*i(z). Factor j(o).
3*(o - 1)**2*(o + 1)
Let d(x) be the first derivative of x**3/3 + 2*x**2 + 3. What is g in d(g) = 0?
-4, 0
Let n(p) = 3*p - 33. Let v be n(12). Let y(l) = 3*l - 2. Let d be y(2). Factor -11/2*z**2 + 0 + z - 2*z**d + 13/2*z**v.
-z*(z - 2)*(z - 1)*(4*z - 1)/2
Suppose -q - 3*q = 0. Suppose v + 0*v + 5*y = 7, v - 2*y = 0. Suppose 3*j**v - j**4 - 3*j - 12*j**2 + q*j - 2*j**4 - 9*j**3 = 0. Calculate j.
-1, 0
Let r = -11 - -13. Let v be (2/9)/(1/r). Let 2/9*y**5 + 2/9*y**4 + 2/9*y + 2/9 - 4/9*y**3 - v*y**2 = 0. Calculate y.
-1, 1
Let p = 121 + -481/4. Factor p*v**2 + 3/4 - 3/2*v.
3*(v - 1)**2/4
Let b be 141/45 + -3 + 0/2. Let d(r) be the third derivative of 2/3*r**3 + 0 + b*r**5 + 2*r**2 + 0*r - 5/12*r**4 - 1/60*r**6. Let d(u) = 0. Calculate u.
1, 2
Let o(j) = j**4 + j**3 + j. Let i(p) = -p - 1 + 1. Let b(y) = i(y) + o(y). Factor b(m).
m**3*(m + 1)
Let y(s) be the second derivative of -s**6/60 - s**5/10 + s**4/24 + s**3/3 + 4*s - 1. Solve y(r) = 0 for r.
-4, -1, 0, 1
Let f(y) be the second derivative of y**6/165 + 4*y**5/55 + 4*y**4/11 + 32*y**3/33 + 16*y**2/11 - 7*y. Factor f(m).
2*(m + 2)**4/11
Let z = 109 - 109. Let m(b) be the third derivative of -1/480*b**6 + z - 1/840*b**7 + 0*b + 1/240*b**5 + 2*b**2 + 0*b**3 + 1/96*b**4. Factor m(p).
-p*(p - 1)*(p + 1)**2/4
Let o(n) be the first derivative of -n**3/12 + n**2/2 - 3*n/4 + 11. Factor o(d).
-(d - 3)*(d - 1)/4
Let l = -11 - -17. Let z(q) be the second derivative of -1/14*q**7 + 1/4*q**4 + 0*q**3 + 0*q**2 + 0 + 2*q + 3/20*q**5 - 1/10*q**l. Find r, given that z(r) = 0.
-1, 0, 1
Suppose 3*m = -5*r + 95, -r + 0*r + 19 = 2*m. Factor 19*v + v**3 - r*v + v**2.
v**2*(v + 1)
Factor -10/7*n**3 + 2/7*n + 2/7*n**2 + 0 + 6/7*n**4.
2*n*(n - 1)**2*(3*n + 1)/7
Let c(t) be the first derivative of t**5/240 + t**4/48 + t**3/24 + t**2/2 - 4. Let v(m) be the second derivative of c(m). Determine d so that v(d) = 0.
-1
Let y(l) be the third derivative of -l**9/1890 + l**8/672 - l**7/1260 - l**4/3 + 3*l**2. Let q(d) be the second derivative of y(d). Factor q(b).
-2*b**2*(b - 1)*(4*b - 1)
Let l = -2 - -3. Let m = l + -1. Factor -2/3*c - 2/3*c**2 + m.
-2*c*(c + 1)/3
Let p(q) be the first derivative of -q**6/6 + q**5/5 + 3*q**4/2 - 14*q**3/3 + 11*q**2/2 - 3*q + 17. Factor p(j).
-(j - 1)**4*(j + 3)
Let k be -2 + (-486)/(-10) - -2. Let f = k + -39. Suppose -4/5*d - 6*d**2 + 0 + 32/5*d**4 - f*d**3 = 0. What is d?
-1/4, 0, 2
Let r(l) = -l**3 - 2*l + 3. Let h be r(0). Let z(s) be the second derivative of 1/6*s**4 - 1/10*s**5 - s**2 + 1/3*s**h + 2*s + 0. Factor z(g).
-2*(g - 1)**2*(g + 1)
Let u(h) be the first derivative of 1/4*h**3 + 3/4*h + 3 - 3/4*h**2. Factor u(s).
3*(s - 1)**2/4
Let f be 297/(-6)*22/5. Let k = -217 - f. Factor 2/5*h**3 + 6/5*h**2 + 0 + k*h.
2*h*(h + 1)*(h + 2)/5
Let v(r) be the third derivative of -r**5/240 - 6*r**2. Factor v(n).
-n**2/4
Factor 4*s**2 - 6*s**2 - 77*s + 77*s - 3*s**3.
-s**2*(3*s + 2)
Let f(n) be the first derivative of -n**4/8 - n**3/6 - 7. Factor f(x).
-x**2*(x + 1)/2
Let u(k) be the third derivative of -k**6/180 + k**5/10 - 3*k**4/4 + 3*k**3 + 46*k**2. Solve u(s) = 0.
3
Let q(c) be the second derivative of 10*c - 14/3*c**3 - 5/3*c**4 - 4*c**2 + 0. Factor q(y).
-4*(y + 1)*(5*y + 2)
Let f = -69772/7 - -10091. Let k = f - 123. Factor 0*d**2 + 0*d + 6/7*d**4 - k*d**3 + 0.
2*d**3*(3*d - 2)/7
Let c(h) be the third derivative of -4*h**7/35 - 2*h**6/15 + 11*h**5/90 - h**4/36 - 12*h**2. Factor c(b).
-2*b*(b + 1)*(6*b - 1)**2/3
Factor 1/2*i + 1/2*i**2 + 0.
i*(i + 1)/2
Suppose 0 = -a + 3. Suppose 22 + 23*z + 12*z + 13*z + 4*z**a + 10 + 24*z**2 = 0. What is z?
-2
Let l(m) = 5*m - 7. Let z(o) = 2*o - 3. Let t(b) = 3*l(b) - 7*z(b). Let u be t(5). Suppose -3*k**2 + 3*k**5 + 2*k**4 - u*k**5 + 2*k**3 + k**2 = 0. Calculate k.
-1, 0, 1
Let n be 8/(-30)*(-10)/4. Factor -4/3*h - 2/3*h**2 - n.
-2*(h + 1)**2/3
Suppose -5*w - w**2 + 2*w**3 - 3*w**2 - w = 0. What is w?
-1, 0, 3
Factor -3/2*v**2 - 3/2*v + 0.
-3*v*(v + 1)/2
Let f(y) = -4*y**3 + 52*y**2 - 51*y + 3. Let g(j) = -j**3 - j**2 + j + 1. Let r(t) = -f(t) - 5*g(t). Factor r(w).
(w - 4)*(w - 1)*(9*w - 2)
Factor -2/3*r**2 + 8/3*r + 0.
-2*r*(r - 4)/3
Suppose -6 = -5*l - 5*s + 4, 2*l = -4*s - 6. Let u = l - 5. Find d such that -d**2 - 2*d**2 - d**3 + 5*d**u + 4*d - 8 = 0.
-2, 2
Let s = 10 + -10. Suppose -i = -s*i. Solve -3/4*w**2 - 7/4*w**4 + 3*w**3 - 1/2*w + i = 0 for w.
-2/7, 0, 1
Let d(i) = 