 r + 0 - 1/6*r**3 + 1/12*r**4 + 1/6*r**2. Factor y(k).
-(k - 1)**3/3
Let p(z) = -5*z**3 + 2*z**2 + 8*z - 11. Let s(j) = 16*j**3 - 6*j**2 - 24*j + 34. Let f(d) = -10*p(d) - 3*s(d). Factor f(b).
2*(b - 2)*(b - 1)*(b + 2)
Let t(v) be the first derivative of 2*v**5/5 + 8. Factor t(c).
2*c**4
Let g(w) = 2*w - 10. Let t be g(8). Suppose -2 = -2*m - n, -5*n = -t*n. Factor -m + p**2 - 5*p + 5*p.
(p - 1)*(p + 1)
Let l(p) be the first derivative of p**5/5 - 2*p**3 - 4*p**2 - 3*p + 7. Solve l(k) = 0 for k.
-1, 3
Let b(p) be the second derivative of -3*p**7/49 - p**6/35 + 4*p**5/35 + 2*p**4/21 - 6*p. Factor b(t).
-2*t**2*(t - 1)*(3*t + 2)**2/7
Let u be 5 - -3*(-5)/3. Factor -4/3*v**3 + 2/3 + u*v**2 - 2/3*v**4 + 4/3*v.
-2*(v - 1)*(v + 1)**3/3
Let g(l) be the third derivative of -l**6/1440 - l**5/120 - l**4/24 - l**3/6 - l**2. Let p(w) be the first derivative of g(w). What is c in p(c) = 0?
-2
Let p(v) be the first derivative of 5*v**4/4 - 10*v**3/3 - 75*v**2/2 + 34. Suppose p(f) = 0. Calculate f.
-3, 0, 5
Let n(k) = -8*k**4 - 11*k**3 - 7*k**2 + 2*k + 3. Let q(r) = 17*r**4 + 21*r**3 + 14*r**2 - 4*r - 7. Let s(w) = 7*n(w) + 3*q(w). What is i in s(i) = 0?
-2, -1, 0, 1/5
Let f(c) be the third derivative of c**5/30 - 3*c**4/44 - 2*c**3/33 + 15*c**2. Find i such that f(i) = 0.
-2/11, 1
Let n = 39 - 48. Let q be 3/n*(2 - 2). Let q*g**3 + 0*g - 1/3*g**2 + 0 + 1/3*g**4 = 0. Calculate g.
-1, 0, 1
Let -o**3 - 4 + 6 + 3*o**3 - 7*o + 5*o - 2*o**2 = 0. Calculate o.
-1, 1
Let s(z) = -z - 14. Let h be s(-11). Let j be 162/(-45)*1/h. Determine c so that 4/5*c + j*c**2 + 0 = 0.
-2/3, 0
Let d = -7 - -2. Let r be 18/(-30)*d*1. Factor -2*a**3 + 4*a**3 + 4*a - r*a**3 - 3*a.
-a*(a - 1)*(a + 1)
Let u = 54 + -51. Let j(v) be the first derivative of 12/5*v**u - 6/5*v + 3/2*v**2 - 3. Factor j(w).
3*(3*w + 2)*(4*w - 1)/5
Let w(g) = -g - 36. Let t be w(-39). Factor -1/6*n**4 - 1/6*n**t + 1/3*n**2 + 0 + 0*n.
-n**2*(n - 1)*(n + 2)/6
Suppose -8*h = -4*h - 84. Let m(x) = -6*x**3 + 9*x**2 + 8*x - 7. Let f(z) = z**3 - z**2 - z + 1. Let k(i) = h*f(i) + 3*m(i). Find c such that k(c) = 0.
-1, 0
Let w(k) = 23*k**3 - 46*k**2 + 14*k. Let g(t) = -24*t**3 + 45*t**2 - 15*t. Let b(m) = -2*g(m) - 3*w(m). Find n, given that b(n) = 0.
0, 2/7, 2
Suppose -4/11*s**3 + 0*s**2 + 0*s + 0 + 10/11*s**5 - 6/11*s**4 = 0. Calculate s.
-2/5, 0, 1
Find y such that 2/13*y**2 + 2/13*y**3 + 0 + 0*y - 2/13*y**4 - 2/13*y**5 = 0.
-1, 0, 1
Let n(p) be the first derivative of -p**3/3 + 3*p**2/2 - 2*p - 6. Factor n(a).
-(a - 2)*(a - 1)
Factor 2/7*a**4 - 6/7*a**2 - 8/7 - 16/7*a + 4/7*a**3.
2*(a - 2)*(a + 1)**2*(a + 2)/7
Let y(g) be the third derivative of 0 + 4/9*g**3 + 1/18*g**5 - 4*g**2 + 0*g + 2/9*g**4 + 1/180*g**6. Find q such that y(q) = 0.
-2, -1
What is w in 2*w - 2/3*w**4 + 0 + 10/3*w**2 + 2/3*w**3 = 0?
-1, 0, 3
Let b(m) = m - 1. Let v be b(3). Let 6*x**3 + 0*x**5 + 2*x**5 + 6*x**4 + 0*x**v + 0*x**2 + 2*x**2 = 0. What is x?
-1, 0
Let c be -6 + 13 + -4 + 2. Factor -b**5 - c*b**3 - b**4 + 10*b**3 - b + 2*b**2 - 1 - 3*b**3.
-(b - 1)**2*(b + 1)**3
Suppose p - 3*p + 31 = 5*k, -5*k + 22 = -p. Let o(g) be the third derivative of 1/270*g**k + 0 + 0*g**3 + 0*g + 0*g**4 - g**2. Factor o(f).
2*f**2/9
Let f = 0 - 0. Suppose -3*q - 5*d + 31 = f, 4*d = -4*q + 2*d + 18. Factor -3*r - 4 + 4 + r**2 + q.
(r - 2)*(r - 1)
Let k(i) = -i**3 + 5*i**2 + 5*i + 8. Let o be k(6). Let c be (o + -1)/(11/22). Factor 2/3*d**3 + 8*d - 4*d**c - 16/3.
2*(d - 2)**3/3
Let k = 1614/5 - 322. Factor -2/5 - 2/5*c**2 - k*c.
-2*(c + 1)**2/5
Suppose -4*t - 4 + 12 = 0. Let j = 10 - 7. Factor 4*g + 2*g**j + t*g**2 - 4*g.
2*g**2*(g + 1)
Let l = -387 - -387. Suppose l + 0*k + 2/13*k**5 + 0*k**2 + 0*k**3 + 2/13*k**4 = 0. Calculate k.
-1, 0
Let k(o) = 14*o**5 + 11*o**3 - 11*o. Let r(s) = -5*s**5 - 4*s**3 + 4*s. Let d = -5 + 1. Let j(u) = d*k(u) - 11*r(u). Factor j(z).
-z**5
Let o be 38/45 + (-4)/9. Suppose 4/5 - o*h**2 - 2/5*h = 0. Calculate h.
-2, 1
Let v(u) be the third derivative of -1/75*u**6 - 2*u**2 + 2/15*u**3 + 11/60*u**4 + 7/75*u**5 + 0*u - 1/120*u**8 - 16/525*u**7 + 0. What is k in v(k) = 0?
-1, -2/7, 1
Let h be 6/39 + 20/39. Let o(g) be the first derivative of 0*g + 2 - h*g**3 - g**2. Factor o(q).
-2*q*(q + 1)
Suppose -i**3 - i**2 - 6*i**3 + 6*i**3 = 0. What is i?
-1, 0
Suppose 12*q - 9 = 15. Factor 2 + 1/2*k**q - 2*k.
(k - 2)**2/2
Let k = 12 + -11. Suppose -m = -2*m + 3, -z = -m + k. Let 0 - 10/7*n**5 - 4/7*n + 2*n**3 - 6/7*n**z + 6/7*n**4 = 0. What is n?
-1, -2/5, 0, 1
Let d(o) be the third derivative of o**8/840 - o**6/150 + o**4/60 + 20*o**2. Factor d(g).
2*g*(g - 1)**2*(g + 1)**2/5
Let c(y) be the second derivative of -5*y + 3/20*y**5 + 0*y**2 + 0*y**3 - 1/10*y**4 + 0 - 3/50*y**6. Find a such that c(a) = 0.
0, 2/3, 1
Let t = -7/244 + 959/3660. Let c(b) be the second derivative of 0*b**2 + 0 + 1/10*b**5 - 7/12*b**4 + t*b**6 - 1/3*b**3 - 3*b. Find j such that c(j) = 0.
-1, -2/7, 0, 1
Suppose 5*q - 16 = 4. Let -6*l**2 + 4*l**2 + 2*l**q + 0*l**3 - 2*l + 2*l**3 = 0. Calculate l.
-1, 0, 1
Let v(o) = 2*o - 8. Let t be v(10). Let x be 2 - (-2 + 8/t). Factor 5/3*h**4 + 1/3 + 10/3*h**3 + x*h**2 + 1/3*h**5 + 5/3*h.
(h + 1)**5/3
Suppose 27 = 4*d - 3*i, 23 = d - 2*i - 2*i. Suppose -15 = -d*z - 0. Suppose -2*p + 3 - 5*p**2 + z*p - 1 = 0. Calculate p.
-2/5, 1
Find c, given that -76*c**4 + 6*c**3 + c + 9*c**3 + 73*c**4 - 24*c**2 + 11*c = 0.
0, 1, 2
Let v**3 - 2*v**3 - v**4 - 67*v**2 + 67*v**2 = 0. Calculate v.
-1, 0
Let f(a) be the second derivative of 0*a**4 - 5*a + 2/15*a**3 + 0 - 1/25*a**5 + 0*a**2. Factor f(o).
-4*o*(o - 1)*(o + 1)/5
Factor 0*c**2 - 21*c - 3*c**2 + 201 - 231.
-3*(c + 2)*(c + 5)
Let f(x) be the first derivative of x**5/5 - x**4 + 2*x**3 - 2*x**2 + x - 8. Let f(k) = 0. What is k?
1
Let i(c) be the third derivative of -c**8/80640 + c**7/6720 - c**6/1440 - c**5/20 - 6*c**2. Let p(k) be the third derivative of i(k). Factor p(s).
-(s - 2)*(s - 1)/4
Suppose 3*o - 7*o = -3*a - 2, 3*o - 16 = -5*a. Suppose p - 6 = -o*p. Let 2/7*i + 2/7*i**3 - 4/7*i**p + 0 = 0. Calculate i.
0, 1
Let b(y) be the third derivative of y**7/210 - y**5/60 - 3*y**2. Let j(h) = -8*h**4 + 18*h**3 - 31*h**2 + 30*h - 9. Let m(u) = -5*b(u) - j(u). Factor m(o).
3*(o - 3)*(o - 1)**3
Let u(v) be the second derivative of -7*v**7/3 + 7*v**6 + 8*v**5/5 - 172*v**4/21 - 48*v**3/7 - 16*v**2/7 - 11*v. Determine h, given that u(h) = 0.
-2/7, 1, 2
Let q(d) = -9*d**5 - 6*d**4 + 6*d**3 + 6*d**2 - 9*d - 6. Let f(l) = -l**5 - l**4 + l**2 - l - 1. Let i(v) = 6*f(v) - q(v). Factor i(b).
3*b*(b - 1)**2*(b + 1)**2
Factor -7*n - 11*n**2 - 13*n**2 - 8*n**2 + 8 + 31*n**2.
-(n - 1)*(n + 8)
Let b(j) be the first derivative of -3*j**4/16 + j**3 - 3*j**2/2 - 12. Determine a, given that b(a) = 0.
0, 2
Let z(l) = l**4 + l**3 - l + 1. Let r(g) = -4*g**4 - 16*g**3 + 3*g**2 + 16*g + 11. Let y(a) = -r(a) + 5*z(a). Suppose y(h) = 0. What is h?
-2, -1, -1/3, 1
Let v(s) be the third derivative of s**5/240 - 5*s**4/24 + 25*s**3/6 - 13*s**2. Factor v(b).
(b - 10)**2/4
Let i(t) be the second derivative of t**6/40 - t**5/15 + t**4/24 + t**2/2 - t. Let s(a) be the first derivative of i(a). Factor s(y).
y*(y - 1)*(3*y - 1)
Let u(r) = -2*r**3 + 21*r**2 + 5*r - 26. Let t(i) = -i**3 + 10*i**2 + 2*i - 12. Let j(y) = -13*t(y) + 6*u(y). Find c such that j(c) = 0.
0, 2
Let u be (-12)/3 + 63/15. Let o(l) be the second derivative of 0*l**3 + 1/2*l**5 - 1/3*l**4 - l + 0*l**2 + 0 - u*l**6. Let o(t) = 0. What is t?
0, 2/3, 1
Let b(p) be the second derivative of 1/240*p**5 + 1/12*p**3 + 1/32*p**4 + 0 + 2*p + 2*p**2. Let w(q) be the first derivative of b(q). Solve w(z) = 0.
-2, -1
Let u(b) be the third derivative of b**9/11520 + b**8/1680 + b**7/1680 - b**5/60 + 3*b**2. Let d(s) be the third derivative of u(s). Factor d(l).
3*l*(l + 2)*(7*l + 2)/4
Let y(p) be the second derivative of -1/120*p**6 - 1/12*p**3 + 1/40*p**5 + 0*p**4 + 0 - 2*p + 1/8*p**2. Factor y(m).
-(m - 1)**3*(m + 1)/4
Let f(j) be the third derivative of j**5/300 + j**4/24 + 2*j**3/15 - 9*j**2. Factor f(g).
(g + 1)*(g + 4)/5
Let p(h) be the second derivative of 1/100*h**5 + 0*h**2 - 1/210*h**7 + 0*h**3 + 6*h + 0 + 1/60*h**4 - 1/150*h**6. Factor p(m).
-m**2*(m - 1)*(m + 1)**2/5
Let h(s) be the second derivative of 2/5*s**4 - 3/5*s**2 + 0 + 9*s + 1/10*s**3 + 3/20*s**5. So