
-n*(n - 1)*(n + 2)/2
Let a(d) be the second derivative of d**6/6 + d**5/2 - 10*d**4/3 + 4*d. Let a(o) = 0. Calculate o.
-4, 0, 2
Let d(v) = 5*v**2 + 54*v + 174. Let q(b) = -10*b**2 - 107*b - 347. Let m(l) = -13*d(l) - 6*q(l). Factor m(k).
-5*(k + 6)**2
Factor 35*u**3 + 26 - 24*u - 16 - 11*u - 10*u**2.
5*(u - 1)*(u + 1)*(7*u - 2)
Let r(s) be the second derivative of s**5/10 + 7*s. Factor r(x).
2*x**3
Let z(a) be the second derivative of a**10/30240 + a**9/15120 - a**8/6720 - a**7/2520 + a**4/3 + a. Let y(s) be the third derivative of z(s). Factor y(l).
l**2*(l - 1)*(l + 1)**2
Suppose 4*j**4 + 20*j - 24*j**3 + 8 + 11*j**3 - 27*j**3 - 12*j**5 - 44*j**4 = 0. Calculate j.
-1, 2/3
Let u(x) = x**2 - 3*x - 4. Let r be u(4). Suppose -3*c + r*c = 0. What is z in 2*z**4 + 2/3*z**2 + 2*z**3 + c + 2/3*z**5 + 0*z = 0?
-1, 0
Let i be 3 - (1 + 1 - -1). Suppose i*y + 3*y = 6. Determine l, given that 12 + 18*l**y - l**3 - 2*l**3 - 36*l + 12 = 0.
2
Let n = 38 - 38. Find w such that 14/5*w**5 + 0 + n*w - 4/5*w**4 + 4/5*w**2 - 14/5*w**3 = 0.
-1, 0, 2/7, 1
Determine v so that 6*v - 80*v**2 + 82*v**2 - 20 + 0 = 0.
-5, 2
Find f such that -2/5 + 1/5*f**2 + 1/5*f = 0.
-2, 1
Let g(y) = -13*y**4 + 47*y**3 - 43*y**2 + 15*y + 3. Let s(b) = 12*b**4 - 46*b**3 + 44*b**2 - 14*b - 2. Let o(z) = -2*g(z) - 3*s(z). Factor o(n).
-2*n*(n - 3)*(n - 1)*(5*n - 2)
Let 3*w**2 - 2*w - 4 + w - 3*w = 0. What is w?
-2/3, 2
Let v(s) be the first derivative of -4*s**5/5 + 4*s**4 - 16*s**3/3 - 8. Solve v(l) = 0.
0, 2
Factor -8 - 1/2*d**2 + 4*d.
-(d - 4)**2/2
Let h(w) = -4*w**4 + w. Let a(x) = -23*x**4 + x**3 - x**2 + 6*x. Let b(m) = 6*a(m) - 34*h(m). Solve b(k) = 0.
0, 1
Let n(h) be the third derivative of 0*h**4 - 1/60*h**5 + 0*h**3 + 0*h - 5*h**2 + 0. Factor n(r).
-r**2
Suppose 2*k = 4*c + 5 + 1, c + 4*k - 12 = 0. Suppose -3*b - j - 4*j = -11, 2*b - 6 = -2*j. Let g + c + 3/2*g**b = 0. Calculate g.
-2/3, 0
Let a(g) = g - 4. Let k be a(4). Let h = k - -2. Find x such that -x**5 + 2*x**3 - 4*x**3 + 3*x**5 - h*x**4 + 2*x**2 = 0.
-1, 0, 1
Let f = -86 + 175/2. Suppose -5*q = -10, 3*o - 8 = o - 3*q. Factor 1/2*n**2 - f*n + o.
(n - 2)*(n - 1)/2
Let a(j) be the third derivative of -1/30*j**5 - 4*j**2 + 0 - 1/12*j**4 - 1/240*j**6 + 0*j + 0*j**3. Factor a(i).
-i*(i + 2)**2/2
Suppose 3*i - 2 + 2 = 0. Let x(u) be the second derivative of 0*u**2 + 1/45*u**6 + 1/18*u**4 + i - 1/15*u**5 + 0*u**3 + u. Find r, given that x(r) = 0.
0, 1
Let y = -21 + 65/3. Factor -2/9 + 2/9*c**2 + 2/3*c - y*c**3.
-2*(c - 1)*(c + 1)*(3*c - 1)/9
Let 50*a - 84 + 0*a - 5*a**2 + 9 - 50 = 0. What is a?
5
Suppose 9*c - 19*c = -30. Solve 6/17*h**5 - 2/17*h**c + 0 + 0*h**2 - 4/17*h**4 + 0*h = 0.
-1/3, 0, 1
Let v(l) be the third derivative of l**5/20 - l**4/24 + 2*l**2. Let n(p) = -7*p**2 + 3*p. Let u(d) = -4*n(d) - 10*v(d). Factor u(o).
-2*o*(o + 1)
Let u(v) be the third derivative of -v**8/336 - v**7/105 + v**5/30 + v**4/24 + 2*v**2. Factor u(c).
-c*(c - 1)*(c + 1)**3
Let s(c) = c**2 + 8*c - 9. Let q be s(-9). Suppose 4*a - a = q. Factor -1/2*g**5 + 0*g**4 + 0 + 0*g**2 + a*g**3 + 0*g.
-g**5/2
Solve -4*t**5 + 5 + 4*t**3 - 1 + 4*t**4 - 8*t**2 - 8*t + 2*t**5 + 6*t = 0 for t.
-1, 1, 2
Let s(v) be the second derivative of -7*v**6/240 + v**5/10 - v**4/16 - v**3/6 + 5*v**2/2 - 6*v. Let g(z) be the first derivative of s(z). Solve g(w) = 0 for w.
-2/7, 1
Let r(a) be the third derivative of -a**8/3360 + a**7/630 - a**6/360 - a**4/12 - 3*a**2. Let j(u) be the second derivative of r(u). Solve j(d) = 0.
0, 1
Let p(g) be the third derivative of g**6/24 + 5*g**5/12 - 23*g**2. Factor p(a).
5*a**2*(a + 5)
Suppose -3 = -3*o + 6. Let f = -1 + o. Factor 0*y + 2/3*y**f + 0.
2*y**2/3
Let c(m) be the third derivative of 0*m + 1/10*m**6 - m**3 - 3/8*m**4 + 0 + m**2 + 1/10*m**5 + 0*m**7 - 1/112*m**8. Factor c(i).
-3*(i - 2)*(i - 1)*(i + 1)**3
Factor -q**4 - 2*q**3 - 4*q**2 - 7*q**4 + 14*q**3.
-4*q**2*(q - 1)*(2*q - 1)
Suppose -2*a + 3 = -a. Let v be (0/a - -2)*1. Factor -6*s**3 + 4*s**2 - 3*s - 2*s**4 + s - 10*s**v.
-2*s*(s + 1)**3
Let s(c) = 5*c**3 - c**2 + c. Let p be s(1). Solve -g**5 + 2*g**3 - g**4 + 0*g**p + 1 - 2*g**4 - g - 2*g**2 + 4*g**4 = 0.
-1, 1
Factor 2/7*v + 0 + 1/7*v**2.
v*(v + 2)/7
Let 0*v**4 + 3*v**2 - 2*v**2 - v + 3*v - 2*v**3 - v**4 = 0. Calculate v.
-2, -1, 0, 1
Let u(k) = k**2 - 10*k + 12. Let i be u(10). Factor 0*a**2 + 2*a**2 - 5*a**2 + i.
-3*(a - 2)*(a + 2)
Determine s, given that 27*s**4 - 6*s**5 - 18*s**3 - 2*s**5 - 51*s**4 - 4*s**2 = 0.
-2, -1/2, 0
Let f(g) be the third derivative of -g**5/12 + g**4/6 + g**3/2 - g**2. Let p(s) = -s**2 + 1. Let i = -1 - 2. Let h(x) = i*p(x) + f(x). Factor h(q).
-2*q*(q - 2)
Let d(m) be the first derivative of -1/8*m**4 + 1/4*m**2 + 1/2*m - 5 - 1/6*m**3. Find w, given that d(w) = 0.
-1, 1
Suppose -3*s - 4*j = -20, -2*s + 10 = 3*s - 5*j. Let g(r) be the second derivative of -3*r + 0*r**2 - 1/9*r**3 + 1/30*r**5 + 0 + 0*r**s. What is y in g(y) = 0?
-1, 0, 1
Let y(p) = 14*p**4 - 14*p**3 - 6*p**2 - 2*p. Let z = 8 - 0. Let r(v) = -9*v**4 + 9*v**3 + 4*v**2 + v. Let f(s) = z*r(s) + 5*y(s). Let f(w) = 0. Calculate w.
-1, 0, 1
Let z(i) be the second derivative of -i + 1/21*i**3 + 0*i**2 - 1/42*i**4 + 0. Factor z(t).
-2*t*(t - 1)/7
Let d(p) = -16*p**4 + 8*p**3 + 16*p**2 + 12*p + 20. Let f(u) = u**4 - u**2 - u - 1. Suppose 5*o + 0 = -5. Let z(t) = o*d(t) - 20*f(t). Factor z(w).
-4*w*(w - 1)*(w + 1)*(w + 2)
Let l(w) be the first derivative of -w**8/840 - w**7/420 - w**3/3 - 3. Let t(h) be the third derivative of l(h). Find u, given that t(u) = 0.
-1, 0
Let u = 1685/3 - 557. What is y in 2/3*y**2 + 0*y - u*y**4 - 8/3*y**5 - 4/3*y**3 + 0 = 0?
-1, 0, 1/4
Let j = 24 + -21. Let f(d) be the first derivative of -2 + 0*d + 2/9*d**j + 0*d**2 - 1/3*d**4 + 2/15*d**5. Factor f(u).
2*u**2*(u - 1)**2/3
Let f = -10 - -13. Let n be 132/21 - 3 - f. Solve n*c**2 + 2/7*c + 0 = 0 for c.
-1, 0
Let x = -1404 - -18262/13. What is r in -6/13*r**3 + 0 - x*r**2 + 4/13*r = 0?
-2, 0, 1/3
Let h(r) = -r**3 + 4*r - 1. Let n be h(-3). Factor -m + 9*m - n*m - 2*m**2 - 4.
-2*(m + 1)*(m + 2)
Let f = -1 - -7. Let l(q) = 5*q**3 - 15*q**2 - 15*q. Let o(k) = 2*k**3 - 7*k**2 - 7*k. Let x(v) = f*l(v) - 14*o(v). Factor x(g).
2*g*(g + 2)**2
Let b be 1 + ((-3)/(-3) - 3). Let q(p) = -3*p**3 + p**2 + 2*p + 1. Let s be q(b). Let 1/2*a**4 + a**s + 0*a + 0 + 1/2*a**2 = 0. Calculate a.
-1, 0
Let f = 5 - 0. Let o**4 - 3*o**2 + 4*o + 3*o + 0*o**2 - f*o = 0. What is o?
-2, 0, 1
Let u = -2/1263 + 467/29049. Let h = 31/23 - u. Factor h*k**2 + 0*k - 2/3 - 2/3*k**4 + 0*k**3.
-2*(k - 1)**2*(k + 1)**2/3
Let x(n) = -2*n**4 - 3*n**3 - n**2 + 8*n + 13. Let k(d) = -d**4 - d**3 + 4*d + 7. Let g(v) = 5*k(v) - 3*x(v). Let g(s) = 0. What is s?
-2, -1, 1
Let u = -13/3 - -14/3. What is d in -1/3 + u*d**2 - 5/6*d + 5/6*d**3 = 0?
-1, -2/5, 1
Let y(q) = 8*q**4 - 8*q**3 - 6*q**2 - 4*q + 10. Suppose -5 = 3*d + 13. Let t(b) = -b**4 + b**3 + b - 1. Let n(c) = d*t(c) - y(c). Let n(s) = 0. Calculate s.
-1, 1, 2
Let q(u) be the second derivative of 0*u**3 + 1/18*u**4 - 1/3*u**2 + u + 0. Find t, given that q(t) = 0.
-1, 1
Let h(y) be the second derivative of -y**7/126 - y**6/45 - y**5/60 + 11*y. Factor h(l).
-l**3*(l + 1)**2/3
Let i be ((-42)/(-28))/(2/4). Let o(u) be the first derivative of 0*u + 1 + 1/2*u**2 + 0*u**i - 1/4*u**4. Factor o(d).
-d*(d - 1)*(d + 1)
Let o = -13 + 15. Find c, given that 6*c**2 - 8*c**4 + o*c + 5*c**3 + 10*c**4 + 0*c**3 + c**3 = 0.
-1, 0
Let r(c) be the third derivative of -c**5/4 + 27*c**4/8 - 5*c**3 + 31*c**2. Find n, given that r(n) = 0.
2/5, 5
Let u(t) = 2*t**5 + 5*t**4 - 5*t**3 - 5*t**2. Let v(o) = 2*o**5 + 4*o**4 - 4*o**3 - 4*o**2. Let x(y) = -2*u(y) + 3*v(y). Let x(k) = 0. What is k?
-1, 0, 1
Let k(q) be the first derivative of 1/3*q**3 + 4 + 3/4*q**2 + 1/2*q. What is i in k(i) = 0?
-1, -1/2
Factor 9 + 19*p + 2*p**2 - 6*p - p**2 - 7*p.
(p + 3)**2
Factor -1 - 1/9*t**2 - 2/3*t.
-(t + 3)**2/9
Let k(c) be the second derivative of -c**8/20160 - c**7/2520 + c**5/90 + c**4/4 + 4*c. Let y(m) be the third derivative of k(m). Factor y(f).
-(f - 1)*(f + 2)**2/3
Factor 12/5 - 16/5*z + 4/5*z**2.
4*(z - 3)*(z - 1)/5
Let j(d) be the third derivative of d**6/40 + d**5/10 + d**4/8 - 7*d**2. What is s in j(s) = 0?
-1, 0
Let c(w) = 3*w + 5. Let o(t) = -7*t - 11. Let r(s) 