*a(n) + g(n). Factor d(i).
-i**2*(i - 1)*(i + 1)
Let p(v) = -v**3 + v**2 - v - 15. Let l be p(0). Let x be 10/18 - (-5)/l. Find m, given that -4/9 - x*m + 2/9*m**2 = 0.
-1, 2
Let c(v) be the third derivative of -5*v**8/336 - v**7/21 + v**6/8 + v**5/3 - 5*v**4/6 + 17*v**2. Factor c(i).
-5*i*(i - 1)**2*(i + 2)**2
Let v(l) = -9*l**4 - 4*l**3 + 13*l**2 + 5*l + 5. Let p(o) = 4*o**4 + 2*o**3 - 6*o**2 - 2*o - 2. Let n(d) = -10*p(d) - 4*v(d). Factor n(q).
-4*q**2*(q - 1)*(q + 2)
Let x(d) be the first derivative of -d**4/42 + 2*d**3/21 - 2*d + 3. Let p(r) be the first derivative of x(r). Determine f, given that p(f) = 0.
0, 2
Let i(a) be the first derivative of a**5/10 - 5*a**4/18 + 7*a**3/27 - a**2/9 - 7*a + 1. Let h(q) be the first derivative of i(q). Factor h(k).
2*(k - 1)*(3*k - 1)**2/9
Suppose 60 = 52*s - 96. Determine u, given that -2/3*u**2 - 11/3*u**s + 0 + 3*u**5 - 4*u**4 + 0*u = 0.
-1/3, 0, 2
Let j(q) = -6*q**3 + 4*q**2 + 2*q - 7. Let y(r) = -r**3 + r**2 - 1. Let f(t) = -2*j(t) + 14*y(t). Determine l so that f(l) = 0.
0, 1, 2
Let i(l) = -10*l**2 + 90*l + 100. Let r(h) = -h**2 + 10*h + 11. Let s(m) = 4*i(m) - 35*r(m). Determine q, given that s(q) = 0.
-1, 3
Let p(k) = k**3 - k. Let q be p(2). Let h be (-20)/(-16) - q/(-8). Let t(d) = -d + 1. Let c(x) = -x**2 + 1. Let v(z) = h*t(z) + 2*c(z). Factor v(r).
-2*(r - 1)*(r + 2)
Suppose 0 = -8*p + 3*p. Factor 0 - 1/3*x**2 + p*x + 2/3*x**3.
x**2*(2*x - 1)/3
Let f be (2/6)/((-2)/(-6)). Suppose p + p**2 + 0*p**3 - p**3 + 0 - f = 0. What is p?
-1, 1
Suppose 3*v - 17 = 2*v + 5*n, n = -2. Let a(s) = s**3 - 7*s**2 + s - 5. Let h be a(v). Suppose -t**4 - 6*t + h + 4*t**3 + 2*t - t**4 = 0. Calculate t.
-1, 1
Suppose -3*j = 3*z - 18 + 6, -6 = -4*j + z. Let a(k) be the second derivative of 1/27*k**3 - 1/54*k**4 + 0*k**j + 0 + k. Find r, given that a(r) = 0.
0, 1
Let u(v) be the first derivative of -4 - 2/9*v + 2/27*v**3 + 0*v**2. Factor u(j).
2*(j - 1)*(j + 1)/9
Let y be 2/(-48)*10/(-25). Let t(g) be the second derivative of y*g**5 - 1/36*g**4 + 2*g + 0 - 1/18*g**3 + 1/6*g**2. Suppose t(j) = 0. What is j?
-1, 1
Suppose 1/3 - 1/3*u**2 - 1/3*u**3 + 1/3*u = 0. Calculate u.
-1, 1
Suppose f = -4*p + 14, -2*p + 3 = f - 3. Let t be 69/21 + 1 - p. Suppose -6/7*v - 2/7 - 6/7*v**2 - t*v**3 = 0. Calculate v.
-1
Let w(j) be the first derivative of j**7/1260 - j**6/180 + j**5/60 - j**4/36 - j**3 - 4. Let x(c) be the third derivative of w(c). Factor x(n).
2*(n - 1)**3/3
Let t(h) be the first derivative of -3*h**2 - 2*h + 2/3*h**3 - 2 + 3/2*h**4. Factor t(c).
2*(c - 1)*(c + 1)*(3*c + 1)
Let m(y) be the second derivative of 8*y**4/33 + 8*y**3/33 + y**2/11 + 2*y. Suppose m(p) = 0. Calculate p.
-1/4
Let i(l) = 6*l**4 - 9*l**3 + 9*l**2 - 3*l - 3. Let u(a) = 5*a**4 - 9*a**3 + 8*a**2 - 2*a - 2. Let h(o) = 2*i(o) - 3*u(o). Suppose h(v) = 0. What is v?
0, 1, 2
Suppose 6*k + 3*a = k + 19, -2*a + 6 = 0. Let -2/9*g**3 - 4/9 - 8/9*g**k - 10/9*g = 0. What is g?
-2, -1
Factor 13*k**2 - 15*k**4 + 2 - 15*k + 7*k**5 - 3*k**2 - 2*k**5 + 3 + 10*k**3.
5*(k - 1)**4*(k + 1)
Suppose a**3 + 6*a**2 - a**2 + 8*a - 11*a**2 + a**2 - 4 = 0. Calculate a.
1, 2
Let m(p) be the first derivative of 2 + 1/2*p**2 - 1/2*p**3 + 0*p. Determine a so that m(a) = 0.
0, 2/3
Let q(y) = y**2 - 6*y. Let b(x) = x**2 - 8*x - 4. Let l be b(7). Let f(w) = -3*w**2 + 17*w. Let r(u) = l*q(u) - 4*f(u). Factor r(d).
d*(d - 2)
Let m(f) = f**4 + f**3 + f**2 - 4*f + 6. Let o(d) = d**3 - d**2 + 1. Let y = -6 - -11. Let z(v) = y*o(v) - m(v). Suppose z(l) = 0. What is l?
1
Let j(c) = -c**4 - c**3 - 25*c**2 + 17*c. Let y(x) = 2*x**4 + 2*x**3 + 26*x**2 - 18*x. Let z(b) = 6*j(b) + 5*y(b). Factor z(o).
4*o*(o - 1)**2*(o + 3)
Let n(q) be the second derivative of -q**4/3 + 8*q**2 + 26*q. Let n(f) = 0. What is f?
-2, 2
Let p(v) be the second derivative of v**8/7560 - v**7/1890 - v**6/1620 + v**5/270 - 7*v**3/6 + 2*v. Let x(o) be the second derivative of p(o). Factor x(j).
2*j*(j - 2)*(j - 1)*(j + 1)/9
Suppose 9 = 5*y - 1. Factor -6*g - 5*g**y + 0*g + 2*g - g**3 + g**2.
-g*(g + 2)**2
Factor 2*v - 1/2*v**2 - 3/2.
-(v - 3)*(v - 1)/2
Suppose 0 = -3*p + 9 - 0, 0 = 3*a + 5*p - 15. Factor a*b + 1/2 - 1/2*b**2.
-(b - 1)*(b + 1)/2
Let u(r) be the first derivative of -4*r**3/3 + 10*r**2 + 4. Suppose u(q) = 0. What is q?
0, 5
Let u(f) = 6*f**3 - 14*f - 2. Let v(g) = 7*g**3 - 13*g - 3. Let s(w) = 3*u(w) - 2*v(w). Factor s(m).
4*m*(m - 2)*(m + 2)
Let z(a) be the first derivative of 0*a**2 - 2/9*a**3 - 1/6*a**4 - 3 + 0*a. Factor z(j).
-2*j**2*(j + 1)/3
Let v(j) be the third derivative of j**8/110880 - j**7/6930 + j**6/990 + j**5/10 - 6*j**2. Let o(u) be the third derivative of v(u). Find q such that o(q) = 0.
2
Let h(w) be the second derivative of w**6/18 + 2*w**5/3 + 5*w**4/2 + 40*w**3/9 + 25*w**2/6 - 35*w. Factor h(z).
5*(z + 1)**3*(z + 5)/3
Let b(p) be the second derivative of p**6/20 + 9*p**5/20 + p**4 - 3*p**3/2 - 27*p**2/4 + 4*p - 1. Factor b(x).
3*(x - 1)*(x + 1)*(x + 3)**2/2
Suppose 12 = 2*b + 2*b. Find s, given that -1 + 0*s**3 - s**3 - b*s - 3*s**2 + 0*s**3 + 0*s**3 = 0.
-1
Suppose 0*u**3 - 3*u**5 + 5*u**4 - 13*u**4 - u**4 - 3*u**2 - 9*u**3 = 0. Calculate u.
-1, 0
Let y(n) = 2*n**2 + n + 2. Let j(z) = 3*z**2 + 3. Let i(o) = 5*j(o) - 6*y(o). Factor i(f).
3*(f - 1)**2
Let a(g) = -5*g**3 - 18*g**2 - 25*g - 10. Let k(q) = -25*q**3 - 89*q**2 - 125*q - 50. Let y(l) = 11*a(l) - 2*k(l). Solve y(o) = 0 for o.
-2, -1
Let x(r) be the second derivative of 1/120*r**6 + 0 + 1/24*r**3 + 3*r - 1/24*r**4 + 1/168*r**7 - 1/40*r**5 + 1/8*r**2. Factor x(j).
(j - 1)**2*(j + 1)**3/4
Let y(s) = s. Let p be y(5). Let -19/4*c**4 + 1/2*c - 15/4*c**3 - 1/4*c**2 + 0 - 7/4*c**p = 0. What is c?
-1, 0, 2/7
Solve -y**2 + 4*y - 3*y + 3*y = 0.
0, 4
What is c in -18*c - c**3 - c**2 + 8 + 0 + 19*c - 7*c**2 = 0?
-8, -1, 1
Let k = -8 - -11. Let v be (6/21 + 0)*7. Find c, given that 4*c**k + 0*c**4 + c**4 - 2*c**3 + c**v = 0.
-1, 0
Suppose z - 10 = 5*g + 3*z, g - 15 = 3*z. Let h(b) be the third derivative of g*b - 3*b**2 + 1/24*b**4 - 1/6*b**3 + 0 + 1/60*b**5 - 1/120*b**6. Factor h(x).
-(x - 1)**2*(x + 1)
Let s(y) be the first derivative of 4*y**3/3 + 2*y**2 - 8. What is j in s(j) = 0?
-1, 0
Suppose 5*i - w = 47, 3*i - 3*w = 3 + 18. Let o be (-1)/(-3 - i/(-4)). Factor 1/4*x**o + 0 - 1/4*x.
x*(x - 1)/4
Let j(p) be the first derivative of -2*p**5/25 + 2*p**3/15 + 7. Suppose j(b) = 0. Calculate b.
-1, 0, 1
Factor 2/3*f - 4/3*f**2 + 0 + 2/3*f**3.
2*f*(f - 1)**2/3
Let h = -53 - -266/5. Let t = 615 + -613. Suppose 1/5*i - h*i**t + 0 = 0. What is i?
0, 1
Let y = -15 - -15. Let o(h) be the third derivative of h**2 + 0*h + 0 - 1/30*h**5 + y*h**4 + 0*h**3. Factor o(b).
-2*b**2
Factor 4/9*g**2 - 4/9 + 4/9*g - 4/9*g**3.
-4*(g - 1)**2*(g + 1)/9
Let w(h) be the first derivative of -6/35*h**5 - 1/7*h**2 + 0*h - 2/21*h**3 + 5/14*h**4 + 1. Solve w(a) = 0 for a.
-1/3, 0, 1
Let r be (-2)/4 + (-14)/4. Let y be r/(-3) + 2/3. Find v, given that 0*v**2 - 4*v**y + 3*v**2 = 0.
0
Factor -6*j**3 - 2 - 4 + 7*j**4 - 4*j**4 + 3 + 6*j.
3*(j - 1)**3*(j + 1)
Let y(x) be the second derivative of 1/30*x**4 - x + 0 + 1/100*x**5 + 0*x**3 + 0*x**2. Let y(c) = 0. Calculate c.
-2, 0
What is r in -12*r**3 + 1 - 16*r + 16*r**3 - 1 = 0?
-2, 0, 2
Let l(j) = -7*j**3 - 3*j**2 - 5*j. Let a(d) = -3*d**3 - d**2 - 2*d. Let n = 1 + 1. Let s(o) = n*l(o) - 5*a(o). Factor s(x).
x**2*(x - 1)
Solve 2/5*p - 4/5*p**2 + 2/5*p**3 + 0 = 0.
0, 1
Let z be 37/(3 + 7 + -3) - 4. Factor 54/7*s**2 - 3*s + 39/7*s**4 - z*s**5 - 66/7*s**3 + 3/7.
-3*(s - 1)**4*(3*s - 1)/7
Factor -6/7*g**2 - 3*g + 9/7*g**3 - 6/7.
3*(g - 2)*(g + 1)*(3*g + 1)/7
Let b be (-3)/9 - 6/(-18). Let z(h) be the first derivative of -9/2*h**4 - 14/3*h**3 - 2 - 2*h**2 + b*h - 1/3*h**6 - 2*h**5. Find s, given that z(s) = 0.
-2, -1, 0
Let b(t) be the third derivative of -3*t**2 + 1/21*t**3 + 0*t + 1/140*t**6 + 0 + 1/84*t**4 - 1/42*t**5. Factor b(a).
2*(a - 1)**2*(3*a + 1)/7
Let z(h) = 10*h - 8. Let d(v) = v**2 + 21*v - 17. Let u(x) = -2*d(x) + 5*z(x). Factor u(g).
-2*(g - 3)*(g - 1)
Let g(l) be the second derivative of -3*l**5/40 + 3*l**3/4 + 3*l**2/2 - 7*l. Let g(s) = 0. Calculate s.
-1, 2
Let w(n) be the second derivative of -n**4/4 + 3*n**3/2 + 6*n**2 + 30*n. Factor w(s).
-3*(s - 4)*(s + 1)
Suppose 20 = u - 4*q, -5 = u + q - 0. Su