-1, 0, 1/3, 1
Let s(i) = 5*i**3 - 5*i**2 + 4. Let u(m) = -4*m**3 + 4*m**2 - 3. Let j be 96/(-8)*(-2)/6. Let q(x) = j*u(x) + 3*s(x). Factor q(z).
-z**2*(z - 1)
Let n(f) = f**5 + 10*f**4 + 7*f**3 + 6*f**2 - 8*f - 8. Let t(s) = -s**4 - s**3 - s**2 + s + 1. Let a(z) = 3*n(z) + 24*t(z). Factor a(o).
3*o**2*(o - 1)*(o + 1)*(o + 2)
Let u = -28 - -37. Let m = u - 5. Determine w, given that 0 + 1/3*w**m - 2/3*w + 5/3*w**2 - 4/3*w**3 = 0.
0, 1, 2
Let 201 + 4*z**2 + 115 + 84 - 45*z + 125*z = 0. Calculate z.
-10
Let k be (4/(-9))/(42/(-189)). Solve -1/4*d**k + 1/2 + 1/4*d = 0.
-1, 2
Let u(w) be the third derivative of 3*w**2 - 1/75*w**5 + 0 + 2/15*w**3 + 0*w + 1/300*w**6 - 1/60*w**4. Factor u(n).
2*(n - 2)*(n - 1)*(n + 1)/5
Let a(m) = 4*m**3 - 6*m**2 + 6*m - 4. Let t(x) = -7*x**3 + 11*x**2 - 11*x + 7. Let i(r) = -10*a(r) - 6*t(r). Factor i(z).
2*(z - 1)**3
Factor 3/11 - 2/11*n - 1/11*n**2.
-(n - 1)*(n + 3)/11
Let p(d) = -d**4 - d**3 - d**2 + d + 1. Let w(n) = -8*n**4 - 15*n**3 - 9*n**2 + 9*n + 9. Let i(y) = 18*p(y) - 2*w(y). Factor i(x).
-2*x**3*(x - 6)
Let b(z) = z - 4. Let v be b(8). Factor 6*s**3 - 5*s**3 + 5*s**3 - 3*s**v - 3*s**2.
-3*s**2*(s - 1)**2
Find s such that 50*s**2 - 24*s**2 + 3*s - 31*s**2 = 0.
0, 3/5
Let k(a) = 2*a**2 + 2*a. Let v = 0 - -3. Let r(b) = -b**3 - b**v - b**3 + 8*b + 9*b**2 + 4*b**3. Let d(y) = -9*k(y) + 2*r(y). Let d(o) = 0. What is o?
-1, 0, 1
Suppose -11*g + 13*g = 8. Find q such that 6/7*q**5 + 4/7*q**3 - 10/7*q + 2/7 + 12/7*q**2 - 2*q**g = 0.
-1, 1/3, 1
Let m(u) = u**3 - 10*u**2 + 2*u - 20. Let d be m(10). Find s such that 10/7*s**4 - 36/7*s**3 + 16/7*s + d + 24/7*s**2 = 0.
-2/5, 0, 2
Let n(i) be the third derivative of 1/20*i**5 + 1/120*i**6 + 1/12*i**4 + 0 + 0*i**3 - 3*i**2 + 0*i. Solve n(d) = 0 for d.
-2, -1, 0
Suppose -3*o = -7*o. Let n(d) be the first derivative of o*d**3 - 1 + 1/2*d**4 + 0*d**2 + 0*d. Factor n(u).
2*u**3
Let d = 17 + -10. Factor 7*l**3 + d*l**3 + 3*l**4 - 5*l**3 - 6 + 3*l**2 - 9*l.
3*(l - 1)*(l + 1)**2*(l + 2)
Suppose 0 = y + 3*y - 16. Factor -2*m**4 - 14*m - 2*m**3 - 8*m**3 + 0*m**2 - 18*m**2 - y.
-2*(m + 1)**3*(m + 2)
Let j(a) be the second derivative of 0*a**2 + 0 - a + 1/3*a**4 - 1/10*a**5 - 1/3*a**3. Solve j(s) = 0 for s.
0, 1
Suppose -5*d - 2*c - 10 = 0, -4*c = -3*d - 9*c - 25. Let p be 0 - (d + 6/(-3)). Let 49*q**3 - 14*q - 21*q**p - 10*q - 4 + 0 = 0. What is q?
-2/7, 1
Let u(m) be the third derivative of -m**8/168 - 2*m**7/35 - 7*m**6/30 - 8*m**5/15 - 3*m**4/4 - 2*m**3/3 + 3*m**2. Find v, given that u(v) = 0.
-2, -1
Solve -6/7*m + 3/7*m**2 + 0 = 0 for m.
0, 2
Let r = -6 + 11. Suppose 23 = 8*v + 7. Factor 5*m + 0*m**5 - m**r - m**2 - 4*m + v*m**4 - m**2.
-m*(m - 1)**3*(m + 1)
Solve 7*q**2 + q**2 + 14*q**3 + 4*q**2 - 17*q**3 = 0.
0, 4
Suppose -3*h + 6*h = 13*h. Let y be 2/8*(-1 + 3). Let -y*f + h + 1/2*f**2 = 0. What is f?
0, 1
Let v(b) = -8*b**2 - 12*b - 31. Let h(p) = 5*p**2 + 8*p + 21. Let m(r) = -7*h(r) - 5*v(r). Let k(n) = n**2 + 1. Let j(q) = -4*k(q) + m(q). Factor j(f).
(f + 2)**2
Suppose 2*o + 4*y + 6 = 5*o, -4*y = 4*o - 8. Factor -1/2*j**3 - j**o - 1/2*j + 0.
-j*(j + 1)**2/2
Let x = -15413/42 + 367. Let m(g) be the second derivative of 0 - g + 5/6*g**4 + 1/6*g**6 + 1/2*g**5 + 1/2*g**2 + 5/6*g**3 + x*g**7. Factor m(f).
(f + 1)**5
Let j(x) be the third derivative of x**10/60480 - x**9/20160 + x**8/26880 - x**4/8 - x**2. Let w(s) be the second derivative of j(s). Factor w(i).
i**3*(i - 1)*(2*i - 1)/4
Suppose 5*b = -2*b + 168. Let 126/5*w**4 - b*w**3 + 0 + 38/5*w**2 - 4/5*w = 0. What is w?
0, 2/7, 1/3
Let y(x) = -x - 4. Let j(t) = -3*t - 12. Let i(h) = -2*j(h) + 7*y(h). Let b be i(-6). Factor 2*n**4 + 7*n**2 - n**2 - b*n - 4*n**3 - 2*n**3.
2*n*(n - 1)**3
Let -4*h**3 + 0 - 2*h**4 + 8 - 2 - 4 + 4*h = 0. Calculate h.
-1, 1
Find q such that 0 - 1/12*q**4 + 1/12*q**2 + 1/12*q**3 - 1/12*q**5 + 0*q = 0.
-1, 0, 1
Let b(z) be the third derivative of -1/6*z**4 + 0 + 0*z + 1/210*z**7 + 2/3*z**3 + 4*z**2 - 1/20*z**5 + 1/60*z**6. Determine k so that b(k) = 0.
-2, 1
Let s(d) be the second derivative of -d**6/300 - d**5/50 - d**4/30 + d**2 + 4*d. Let b(t) be the first derivative of s(t). Factor b(i).
-2*i*(i + 1)*(i + 2)/5
Let t = -1 - -3. Let v = -421 + 423. Solve 0 - g - t*g**v - 1/4*g**4 - 5/4*g**3 = 0.
-2, -1, 0
Factor -5/6*q**4 + 1/6*q**5 + 5/6*q - 1/6 - 5/3*q**2 + 5/3*q**3.
(q - 1)**5/6
Let m(k) be the third derivative of k**7/1155 + k**6/165 + k**5/330 - k**4/22 - 42*k**2. Factor m(v).
2*v*(v - 1)*(v + 2)*(v + 3)/11
Let j(h) be the first derivative of 3/20*h**4 - 3/10*h**2 + 3 + 0*h + 0*h**3. Factor j(c).
3*c*(c - 1)*(c + 1)/5
Find n such that 4394/9*n**3 + 78*n - 6 - 338*n**2 = 0.
3/13
Let z(k) be the second derivative of 2*k**6/45 - 2*k**5/15 - k**4/3 + 8*k**3/9 + 8*k**2/3 - 5*k. Factor z(v).
4*(v - 2)**2*(v + 1)**2/3
Let y(p) = p**2 - 5*p + 3. Suppose -2*s - 2*s = -20. Let d be y(s). Solve -d*c**2 - 17*c - 2 - 6*c**3 - 2 + 5*c - c**4 - 10*c**2 = 0.
-2, -1
Let g(w) = w**4 - 3*w**3 + 11*w**2 - 17*w + 8. Let f(n) = -3*n**4 + 10*n**3 - 34*n**2 + 50*n - 23. Let a(b) = -4*f(b) - 11*g(b). Suppose a(p) = 0. What is p?
1, 4
Let k(r) be the third derivative of -1/30*r**5 + 1/60*r**6 + 0*r - 1/24*r**4 + 1/210*r**7 - 1/336*r**8 + 0 + 10*r**2 + 1/6*r**3. Factor k(w).
-(w - 1)**3*(w + 1)**2
Let m(c) be the first derivative of 0*c + 0*c**2 - 2 + 1/15*c**5 + 1/6*c**4 + 1/9*c**3. Factor m(a).
a**2*(a + 1)**2/3
Let t(i) be the first derivative of 27*i**5/5 - 45*i**4/4 - 11*i**3 + 33*i**2/2 - 6*i + 1. Determine h so that t(h) = 0.
-1, 1/3, 2
Let t = -8749/70 + 125. Let w(a) be the third derivative of 0*a + t*a**7 - 1/20*a**5 - 1/24*a**4 + a**2 + 1/120*a**6 + 0*a**3 + 0. Factor w(x).
x*(x - 1)*(x + 1)*(3*x + 1)
Let g(q) be the first derivative of -q**8/840 + q**7/210 - q**6/180 - 2*q**3/3 - 4. Let f(d) be the third derivative of g(d). Suppose f(z) = 0. Calculate z.
0, 1
Let m(j) be the second derivative of j**6/75 - j**5/50 - j**4/30 + j**3/15 - 13*j. Factor m(z).
2*z*(z - 1)**2*(z + 1)/5
Let b(w) = w**3 - 6*w**2 - 6*w + 2. Let o be b(7). Solve 5*l**4 + o*l**3 - 5*l**2 - 4*l**5 - 2*l**5 - l**5 - 3*l + l = 0 for l.
-1, -2/7, 0, 1
Let q(m) = m**3 - m**2 + 1. Let x(o) = -36*o**4 + 846*o**3 - 4618*o**2 - 3360*o - 570. Let l(w) = -6*q(w) + x(w). Factor l(c).
-4*(c - 12)**2*(3*c + 1)**2
Let j(k) be the second derivative of k**6/15 - k**5/2 + 4*k**4/3 - 4*k**3/3 - 2*k + 1. Factor j(q).
2*q*(q - 2)**2*(q - 1)
Let x = -11 - -14. Suppose 4*w - 11 = 3*u - 4*u, -x*w + 15 = 3*u. Factor 4*f**4 - 1/3*f - 3*f**5 + 0 + 2/3*f**u - 4/3*f**2.
-f*(f - 1)**2*(3*f + 1)**2/3
Let i(a) be the third derivative of 0 - 1/4*a**4 + 1/3*a**3 - 1/60*a**6 + 0*a + a**2 + 1/10*a**5. Let i(d) = 0. What is d?
1
Let k(u) = 5*u + 7*u**2 + 4*u**2 + 2 + 9. Let p(s) = 0*s**2 - 2*s - 2*s**2 - 3*s**2 + 0*s**2 - 5. Let w(f) = -4*k(f) - 9*p(f). Factor w(i).
(i - 1)**2
Suppose 5*b - 11 = -1. Factor b*y**3 - 2 - 6*y**3 + y + 3*y**2 + 2.
-y*(y - 1)*(4*y + 1)
Suppose h - 5*w + 25 = 0, -4*h + 3*w + 2*w - 25 = 0. Let b be 3/3 + (-2)/4. Factor -1/2 + h*q + b*q**2.
(q - 1)*(q + 1)/2
Let o = 5/26 + 25/39. Let g(b) be the second derivative of -4/3*b**3 + 0 - 1/5*b**5 - o*b**4 - b**2 + 2*b. Factor g(j).
-2*(j + 1)**2*(2*j + 1)
Factor -26/5*m - 22/5*m**2 - 4/5.
-2*(m + 1)*(11*m + 2)/5
Let i(x) = -4*x**2 + 2. Let j(c) = 4*c**2 - 3. Let r(z) = 3*i(z) + 2*j(z). Determine y, given that r(y) = 0.
0
Let p(l) be the first derivative of -l**4 + 2*l**2 + 0*l**3 - 2/5*l**5 + 3 + 2*l. Let p(g) = 0. What is g?
-1, 1
Let c(p) be the third derivative of p**6/36 - p**5/30 - p**4/18 + 10*p**2. Suppose c(t) = 0. What is t?
-2/5, 0, 1
Let m(v) = 2*v**4 + 3*v**3 - 6*v**2 + 3*v - 2. Let b(h) = h**3 + h - 1. Let u(g) = 4*b(g) - m(g). Suppose u(t) = 0. Calculate t.
-1, 1/2, 2
Let f(s) be the third derivative of -1/120*s**6 + 0*s**3 + 0*s**5 + 0 - 3*s**2 + 0*s**4 + 0*s. Find y, given that f(y) = 0.
0
Let m(b) be the second derivative of b**6/75 - b**5/50 + 11*b. Factor m(d).
2*d**3*(d - 1)/5
Solve -162/11 + 36/11*k - 2/11*k**2 = 0.
9
Let n be (3/(-18*1))/((-1)/3). Factor -5/4*y**2 - n*y - 1/4*y**4 - y**3 + 0.
-y*(y + 1)**2*(y + 2)/4
Let f(p) be the first derivative of -p**4/16 - p**3/6 - 18. Find k, given that f(k) = 0.
-2, 0
Let w be (-5)/(-5) + -4*1*-1. Let h(q) be the third derivative o