g*r(n) - 2*f(n). Factor j(w).
-4*(w - 2)**2*(w - 1)
Let p be 23/65 + 2/(-13). Let s(g) be the second derivative of 0*g**4 + p*g**5 - 3/5*g**6 + 0*g**3 + 0 - g + 1/3*g**7 + 0*g**2. Factor s(k).
2*k**3*(k - 1)*(7*k - 2)
Solve 4/3 + 0*l - 4/3*l**2 = 0.
-1, 1
Let m be (-4*12/864)/((-1)/3). Factor -m*p**3 - 1/2*p**2 - 1/6 - 1/2*p.
-(p + 1)**3/6
Suppose 0*i - 24 = -4*i. Let g(v) be the first derivative of 2 + 1/14*v**4 + 0*v**2 + 2/35*v**5 - 1/21*v**i + 0*v - 2/21*v**3. Factor g(s).
-2*s**2*(s - 1)**2*(s + 1)/7
Suppose -125*d**3 - 31*d**4 - 320 - 7*d**5 + 400*d + 100*d**2 + 2*d**5 - 19*d**4 = 0. Calculate d.
-4, 1
Let s(f) be the second derivative of -f + 0*f**2 - 1/2*f**3 - 1/60*f**5 - 1/18*f**4 + 0 + 1/108*f**6. Let d(h) be the second derivative of s(h). Factor d(q).
2*(q - 1)*(5*q + 2)/3
Let q(k) be the second derivative of -k**7/525 - k**6/150 + k**4/30 + k**3/15 - 7*k**2/2 + 7*k. Let i(b) be the first derivative of q(b). Factor i(o).
-2*(o - 1)*(o + 1)**3/5
Let q(a) = -a**3 + 5*a**2 + 5*a + 8. Let i = 9 - 3. Let o be q(i). Factor -1/5*u**o + 2/5*u - 1/5.
-(u - 1)**2/5
Let n be (-2)/3 - (-8)/3. Suppose -21*v + 12 = -15*v. Solve -n*b**4 - 2*b**3 + 5*b**3 + 6*b**v - b**4 - 3*b**5 - 3*b**4 = 0.
-2, -1, 0, 1
Suppose 5*i = 6*i. Let w(x) be the third derivative of 0*x + x**2 + 1/96*x**4 + i*x**3 - 1/480*x**6 + 0 + 0*x**5. Factor w(u).
-u*(u - 1)*(u + 1)/4
Suppose 0 = 6*a - 6 - 6. Factor -1/3*v + 0 + 0*v**a + 1/3*v**3.
v*(v - 1)*(v + 1)/3
Let y be (-7 + 1)*(-12)/9. Suppose y = 4*p - 0. Solve 4*l + 0 + 0 + p*l**2 = 0.
-2, 0
Let r = 2 - 2. Suppose -3*n - 3*y = r, 4*n + 0*y = -y + 9. Find i, given that -2*i**2 - i**4 + i - 2*i**2 - i**n + 5*i**2 = 0.
-1, 0, 1
Let s(j) be the second derivative of -j**6/20 - j**5/15 + j**4/4 + 2*j**3/3 - 3*j**2/2 + 2*j. Let n(b) be the first derivative of s(b). What is a in n(a) = 0?
-1, -2/3, 1
Let -4*i**2 - i**5 + 6*i**2 + 5*i**4 - 6*i**3 - i**5 + i**4 = 0. What is i?
0, 1
Let c(y) be the second derivative of 1/50*y**5 + 1/15*y**4 + 0 + 1/15*y**3 + 0*y**2 + 2*y. Find q, given that c(q) = 0.
-1, 0
Let y(w) = 0*w**2 + 3*w**2 - w**2. Let d be y(1). Solve -2*x**5 + 5*x**d - 2 - 2*x**4 + 6*x**3 - 2*x**3 - x**2 - 2*x = 0.
-1, 1
Let n(h) be the third derivative of -h**8/168 + h**7/35 - h**6/20 + h**5/30 + 3*h**2. Factor n(a).
-2*a**2*(a - 1)**3
Let x(n) = -n**4 - 2*n**2 - 1. Let u(h) = 4*h**4 - h**3 + 7*h**2 + h + 3. Suppose -3*o + 1 = -5. Let q(b) = o*u(b) + 7*x(b). Factor q(w).
(w - 1)**3*(w + 1)
Let q = 65 + -65. Let w(t) be the third derivative of 0*t + q + 2/27*t**3 + 7/270*t**5 - 1/12*t**4 - 3*t**2. Factor w(a).
2*(a - 1)*(7*a - 2)/9
Let n(u) = -8*u**5 + 12*u**4 - 12*u**3 + 8*u**2 + 10. Let p(z) = -z**5 + z**4 - z**3 + z**2 + 1. Let q(y) = -2*n(y) + 20*p(y). Factor q(k).
-4*k**2*(k - 1)*(k + 1)**2
Suppose -7 = -4*z + 1, 4*a - 22 = -z. Factor -6*o - o**2 + 8*o**3 - 2*o**2 - a*o**3.
3*o*(o - 2)*(o + 1)
Let w be 6/8 + (-33)/(-4). Factor w*a + 8*a**4 - 3*a**2 + 0*a**5 - 3 - 3*a**5 + a**4 - 3*a**2 - 6*a**3.
-3*(a - 1)**4*(a + 1)
Let n(b) = 35*b**2 + 4*b + 6. Let y(a) = 140*a**2 + 15*a + 25. Let j(f) = 25*n(f) - 6*y(f). Determine x so that j(x) = 0.
-2/7, 0
Suppose -5*s - 5*a = 15, 4*s - 11 = s + a. Let t = 6 + -3. Factor 2/5*k**4 + 2/5*k - 4/5*k**s + 2/5 + 2/5*k**5 - 4/5*k**t.
2*(k - 1)**2*(k + 1)**3/5
Suppose -3 + 4 = 3*t - 4*a, -4*t - a = -33. Suppose -t*z + 3*z = -8. Factor 2*j**5 - j**5 - j**3 - j**4 + 0*j**5 - j**2 + z*j**2.
j**2*(j - 1)**2*(j + 1)
Suppose 4*p - 22 = -2, -5*p = 3*m - 31. Find z, given that m*z + 2 - 4 - 2*z**3 + 4 + 2*z**2 - 4*z**2 = 0.
-1, 1
Let g(k) be the third derivative of k**5/300 - k**4/120 - k**3/15 + k**2 + 3. Factor g(j).
(j - 2)*(j + 1)/5
Let x(k) be the third derivative of -k**5/40 - 5*k**4/36 - k**3/9 - 39*k**2. Let x(s) = 0. What is s?
-2, -2/9
Let p(w) be the first derivative of -w**3/3 + 4*w**2 - 16*w + 37. Factor p(u).
-(u - 4)**2
Suppose 0 = -10*z + 14*z. Let 2/9*h**3 + 2/9*h**2 + z*h + 0 = 0. What is h?
-1, 0
Let o be 2/(-8)*(-16)/14. Find c, given that -4/7*c**4 + 2/7*c**5 + 0 + 0*c + 0*c**2 + o*c**3 = 0.
0, 1
Let p(o) be the second derivative of 2*o**6/15 + o**5 + 8*o**4/3 + 8*o**3/3 + 11*o. Factor p(u).
4*u*(u + 1)*(u + 2)**2
Let w(t) be the third derivative of t**8/120960 - t**6/1080 - t**5/20 + 2*t**2. Let h(p) be the third derivative of w(p). Factor h(n).
(n - 2)*(n + 2)/6
Let v(q) be the third derivative of 0*q - 1/60*q**5 - 7/240*q**6 + 0*q**3 - 6*q**2 - 1/105*q**7 + 0 + 1/48*q**4. Let v(n) = 0. What is n?
-1, 0, 1/4
Let c(g) be the third derivative of g**7/945 - 2*g**6/135 + 8*g**5/135 - 38*g**2. Find l, given that c(l) = 0.
0, 4
Let v(f) be the first derivative of -f**5/30 + f**4/12 - 3*f**2/2 + 1. Let o(l) be the second derivative of v(l). Find y such that o(y) = 0.
0, 1
Determine t, given that -8/7*t**2 - 6/7*t**3 + 26/7*t - 12/7 = 0.
-3, 2/3, 1
Let d(v) = 13*v**3 + 24*v**2 + 24*v. Let f(r) = 4*r**3 + 8*r**2 + 8*r. Let k(m) = -2*d(m) + 7*f(m). Solve k(u) = 0 for u.
-2, 0
Let u(k) be the first derivative of 3*k**5/5 + 9*k**4/4 + 2*k**3 - 7. Let u(r) = 0. Calculate r.
-2, -1, 0
Let b(v) be the third derivative of -v**7/10080 - v**6/720 - v**5/120 + v**4/12 + 4*v**2. Let z(q) be the second derivative of b(q). Factor z(a).
-(a + 2)**2/4
Let i(g) be the first derivative of -12*g**5/5 + g**4 + 8*g**3/3 + 3. Factor i(v).
-4*v**2*(v - 1)*(3*v + 2)
Let l(g) = -g**2 + 11*g - 13. Let a be l(9). Let z(s) be the third derivative of 0*s**3 + 0 - s**2 + 1/6*s**4 - 1/30*s**a + 0*s. Factor z(j).
-2*j*(j - 2)
Factor -3*z + 2*z - 2*z + 3*z**2.
3*z*(z - 1)
Let z(n) be the second derivative of n**3/6 + 9*n**2/2 - 3*n. Let g be z(-6). Suppose 0 - 2/3*h**4 + 0*h**g + 1/3*h + 2/3*h**2 - 1/3*h**5 = 0. Calculate h.
-1, 0, 1
What is h in -2/9*h**3 + 0 + 0*h - 2/9*h**2 = 0?
-1, 0
Suppose -3*c - 2 = -11. Let -v**3 + 0*v**c - v + v = 0. What is v?
0
Suppose 5*z + 6 = 21. Let w = z + -1. Factor -4*h**3 - 6 + 6 + 2*h - w*h**2.
-2*h*(h + 1)*(2*h - 1)
Suppose -45 = 2*u - 1. Let j = 26 + u. Determine n, given that 4/3 - 2/3*n**2 + 2*n - 2*n**3 - 2/3*n**j = 0.
-2, -1, 1
Suppose 0 = 3*i + g + 8 - 17, -4*i + 12 = 5*g. Suppose 5*l - 5 = -0*a + 5*a, 2*a - 26 = -5*l. Factor -2/5*t**2 + 0 + 0*t - 2/5*t**l - 4/5*t**i.
-2*t**2*(t + 1)**2/5
Let l = 447 + -2229/5. Factor 4/5 + 0*d**2 + 2/5*d**3 - l*d.
2*(d - 1)**2*(d + 2)/5
Let y(q) be the first derivative of q**6/600 + 3*q**5/200 + q**4/20 + q**3 + 1. Let o(n) be the third derivative of y(n). Suppose o(t) = 0. What is t?
-2, -1
Let k(q) be the first derivative of -q**6/54 + q**5/45 + q**4/36 - q**3/27 - 12. Factor k(v).
-v**2*(v - 1)**2*(v + 1)/9
Let a(j) = j**2 - 7*j + 9. Let r be a(6). Let x(m) = 3 - 5 + r. Let g(b) = b**2 - 4*b - 5. Let l(u) = -2*g(u) - 18*x(u). Determine n so that l(n) = 0.
2
Let t(h) = 6*h**3 + 2*h**2 + h - 5. Let f(z) = -z**3 - z**2 - z + 1. Let u(d) = -5*f(d) - t(d). Factor u(i).
-i*(i - 4)*(i + 1)
Let s = 37/51 - 1/17. What is w in s*w**2 + 0 + 2/3*w = 0?
-1, 0
Suppose -p - 2*r + 1 = 0, 2*p = 6*p + 3*r - 9. Let a(d) be the first derivative of 1/4*d + 2 - 1/12*d**p + 1/16*d**4 - 1/8*d**2. Factor a(g).
(g - 1)**2*(g + 1)/4
Suppose 2*a - 2 = 4*s, -a - 12 = -s - 3*a. Let o be 12/(-8) + 7/s. Factor 0*p**o - 4*p - 2 + p**2 - 3*p**2.
-2*(p + 1)**2
Let x = 8 + 4. Factor -1 - 10*j**3 + x*j**3 + 4*j**4 - 3*j**4 - 2*j.
(j - 1)*(j + 1)**3
Let d(g) be the second derivative of -g**4/36 + g**3/9 - g**2/6 + g. Find x, given that d(x) = 0.
1
Let t(p) be the third derivative of -p**5/120 + p**4/16 - p**3/6 + 16*p**2. Determine f, given that t(f) = 0.
1, 2
Let y(v) = -2*v + 24. Let s be y(10). Let w(c) be the first derivative of 2 - 3/2*c**s - 7/10*c**5 - 1/2*c**3 + 1/2*c**2 + 0*c. Find m such that w(m) = 0.
-1, 0, 2/7
Let g(s) be the second derivative of -2*s**6/45 - 2*s**5/15 + s**4/3 + 8*s**3/9 - 8*s**2/3 - 2*s. Factor g(a).
-4*(a - 1)**2*(a + 2)**2/3
Suppose -40 = 3*a - 8*a. Let v(g) be the third derivative of 0*g + 0*g**6 - 1/30*g**5 + 2*g**2 + 0*g**3 + 0 + 1/105*g**7 + 1/24*g**4 - 1/336*g**a. Factor v(r).
-r*(r - 1)**3*(r + 1)
Let d be -240*(-5)/(175/24). Let g = -164 + d. Factor 0 + 0*t - g*t**3 + 2/7*t**2 + 2/7*t**4.
2*t**2*(t - 1)**2/7
Let v(x) = 33*x + 264. Let r be v(-8). Suppose r*h + 0*h**4 + 0 + 0*h**2 + 1/6*h**3 - 1/6*h**5 = 0. Calculate h.
-1,