+ 20 = 2*l + 1. Let u be (-4)/24*(-9)/l. Solve u*a**3 + 1/2*a**2 + 1/4*a**4 + 0 + 0*a = 0.
-2, -1, 0
Let f = -10 + 16. Let o be (5 - f)*(-1)/2. Let 1/2*q**4 + 0*q + 0*q**3 + 0 - o*q**2 = 0. Calculate q.
-1, 0, 1
Let d(f) be the second derivative of f**7/28 - f**6/60 - 3*f**5/40 + f**4/24 - 2*f. Determine m, given that d(m) = 0.
-1, 0, 1/3, 1
Let u = 4 - 2. Let h**3 + 2*h**4 + 0*h**4 - 3*h**3 - 2*h**u + 0*h**2 + 2*h**5 = 0. What is h?
-1, 0, 1
Let v = -79 - -82. Let 0 - 1/2*l**v - 3/2*l**2 - l = 0. Calculate l.
-2, -1, 0
Suppose 4*p - 11 = -3. Let i(y) be the second derivative of 0 + 1/6*y**4 - 2/3*y**3 - 3*y + 0*y**p. Factor i(h).
2*h*(h - 2)
Let d be ((-2)/(-4))/(6 - 1). Let u(c) be the first derivative of -1/5*c**2 - 2/15*c**3 + 2/25*c**5 - 2 + d*c**4 + 0*c. Factor u(k).
2*k*(k - 1)*(k + 1)**2/5
Let h(u) = u**3 - 9*u**2 - u + 6. Let z be h(9). Let y be (-22 - -26) + 11/z. Factor -2/3 - 5/3*t - t**2 + y*t**3 + 1/3*t**4.
(t - 2)*(t + 1)**3/3
Suppose -4*p + 0*p = 3*l - 6, 2 = 4*p + l. Let p*r + 0 - 1/2*r**2 = 0. What is r?
0
Let a(u) be the first derivative of -u**4/2 - u**3 - u**2/2 - 3. Factor a(w).
-w*(w + 1)*(2*w + 1)
Let x(k) be the third derivative of k**9/40320 - k**8/13440 - k**5/60 - 5*k**2. Let j(y) be the third derivative of x(y). Factor j(b).
3*b**2*(b - 1)/2
Suppose -1 = 2*s - 7. Let r(l) be the second derivative of -3/4*l**4 - 11/30*l**6 + 0 - 3/4*l**5 + 0*l**2 - l - 1/3*l**s - 1/14*l**7. Let r(t) = 0. Calculate t.
-1, -2/3, 0
Let g(u) be the second derivative of 1/3*u**3 + 0*u**2 - 5/6*u**4 + 3*u - 4/15*u**6 + 4/5*u**5 + 0. Find z, given that g(z) = 0.
0, 1/2, 1
Let r(n) be the third derivative of -n**7/315 - n**6/180 + 19*n**2. Factor r(h).
-2*h**3*(h + 1)/3
Let s be (0 + 4 - 52/12)*-6. Factor 0 + p - 5/4*p**3 - s*p**2.
-p*(p + 2)*(5*p - 2)/4
Let s(n) be the second derivative of n**3/3 - n**2/2 + 3*n. Let m be s(2). Factor 5 + g**4 - m*g**2 - 5 + 2*g**2.
g**2*(g - 1)*(g + 1)
Let w(y) be the third derivative of -y**8/560 - y**7/70 - 9*y**6/200 - 7*y**5/100 - y**4/20 - 3*y**2. Let w(s) = 0. What is s?
-2, -1, 0
Factor 14/9*v**3 + 2/9*v**4 + 16/9 + 4*v**2 + 40/9*v.
2*(v + 1)*(v + 2)**3/9
Suppose -3*x + 4*n + 214 = -30, 4*n + 16 = 0. Let c = -226/3 + x. What is t in 0 + 0*t**2 - c*t**3 + 2/3*t**4 + 0*t = 0?
0, 1
Let u(f) = 6*f**2 + 4*f. Let i(o) = -5*o**2 - 4*o. Let r = 11 + -15. Let v(a) = r*i(a) - 3*u(a). Factor v(g).
2*g*(g + 2)
Let q(c) = 68*c**3 + 96*c**2 + 32*c. Let z(h) = 137*h**3 + 192*h**2 + 63*h - 1. Let a(l) = -9*q(l) + 4*z(l). Factor a(v).
-4*(v + 1)*(4*v + 1)**2
Let l(r) be the third derivative of 2*r**7/315 - 2*r**6/45 + 4*r**5/45 - 16*r**2. Factor l(b).
4*b**2*(b - 2)**2/3
Let h(k) be the first derivative of 2/3*k**3 - 3*k**2 - 2/5*k**5 + 3/2*k**4 + 1 + 0*k. Factor h(q).
-2*q*(q - 3)*(q - 1)*(q + 1)
Determine d so that 0 - 8/7*d**3 - 2/7*d**4 - 10/7*d**2 - 4/7*d = 0.
-2, -1, 0
Let y(r) be the first derivative of 0*r - r**2 - 1 + 1/30*r**5 + 1/6*r**4 + 0*r**3 - 1/60*r**6. Let h(g) be the second derivative of y(g). Factor h(b).
-2*b*(b - 2)*(b + 1)
Let x(y) be the third derivative of -y**10/37800 + y**8/4200 - y**6/900 + 7*y**4/24 - 7*y**2. Let k(s) be the second derivative of x(s). Factor k(l).
-4*l*(l - 1)**2*(l + 1)**2/5
Let t(u) = 4*u**5 - 4*u**4 - 13*u**2 - 13*u - 13. Let j(b) = 2*b**5 - 2*b**4 - 6*b**2 - 6*b - 6. Let i(h) = 13*j(h) - 6*t(h). Find p such that i(p) = 0.
0, 1
Let z = 395290 - 69965849/177. Let s = z + -3/59. Determine g, given that 2/3*g**3 + 10/3*g - s*g**2 - 4/3 = 0.
1, 2
Factor 3/4*c + 1/4 - c**2.
-(c - 1)*(4*c + 1)/4
Let s(t) be the first derivative of 1/3*t**3 + 0*t**2 - 3 + 0*t + 1/10*t**5 - 3/8*t**4. Factor s(m).
m**2*(m - 2)*(m - 1)/2
Let g(c) be the third derivative of -c**6/60 - c**5/30 + c**4/6 + 10*c**2. Solve g(z) = 0.
-2, 0, 1
Let n(f) = 2193*f**3 + 1010*f**2 + 152*f + 12. Let k(o) = -2192*o**3 - 1009*o**2 - 151*o - 13. Let d(w) = 4*k(w) + 5*n(w). Factor d(q).
(13*q + 2)**3
Suppose -25 + 7 = -3*u. Let p(i) = -2*i**4 - 7*i**3 + 7*i + 2. Let m(k) = -18*k**4 - 62*k**3 + 62*k + 18. Let h(q) = u*m(q) - 52*p(q). Factor h(y).
-4*(y - 1)*(y + 1)**3
Factor -2*p**4 + 2 + 0*p**3 + 7*p**3 - 4*p - 3*p**3.
-2*(p - 1)**3*(p + 1)
Suppose 3*s = -2*b + 54, -s - b + 4 = -13. Let j be 8/2*s/16. Factor -i**3 + 5*i**5 + 3*i**3 - 7*i**j.
-2*i**3*(i - 1)*(i + 1)
Let v(h) = h - 10. Let i be v(10). Solve 2/5*z**3 + i + 0*z**2 - 2/5*z = 0 for z.
-1, 0, 1
What is w in -10*w**2 + 6 + 2*w + 4*w**2 + 3*w**3 - 6*w**3 + w = 0?
-2, -1, 1
Factor -3/2*k**2 + 1/2*k**4 - 1/2*k**3 + 1/2*k + 1.
(k - 2)*(k - 1)*(k + 1)**2/2
Let j(g) be the first derivative of g**6/480 + g**5/120 + g**4/96 + g**2/2 - 1. Let i(l) be the second derivative of j(l). Determine p, given that i(p) = 0.
-1, 0
Factor 2*u**2 + 2 - 6*u - 4 + 6.
2*(u - 2)*(u - 1)
Let m(v) = v - 5. Let p be m(5). Suppose 5*h + 0*h = p. Solve 0 - o**4 + 7/5*o**3 - 2/5*o**2 + h*o = 0.
0, 2/5, 1
Suppose -2*a = 12 - 62. Solve 2*b**2 + a*b - 2 - 25*b = 0 for b.
-1, 1
Let o be 99/(-630) + 1/6. Let x(c) be the third derivative of o*c**7 + 0*c**5 + 3*c**2 + 1/6*c**4 + 0*c - 1/3*c**3 + 0 - 1/30*c**6. Factor x(w).
2*(w - 1)**3*(w + 1)
Let g(u) = -u**3 - 7*u**2 + 9*u + 5. Let d be g(-8). Let r = d + 5. Factor 2*l - l - r*l**2 + 3*l**2.
l*(l + 1)
Factor 4*t + 3*t**2 + 0*t**2 - 4*t.
3*t**2
Let m(u) be the third derivative of 1/60*u**5 + 0*u**3 + 0 + 0*u + 1/240*u**6 + 1/48*u**4 + 2*u**2. Factor m(k).
k*(k + 1)**2/2
Let j(l) be the third derivative of 0 - 1/40*l**6 + 0*l**4 - 5*l**2 - 1/70*l**7 + 0*l + 0*l**3 + 0*l**5. Determine n so that j(n) = 0.
-1, 0
Let p(h) be the second derivative of 2/9*h**3 + h - 1/3*h**2 - 1/18*h**4 + 0. Let p(u) = 0. Calculate u.
1
Let n(k) be the second derivative of -k**4/6 + 2*k**3/3 - 15*k. Let n(l) = 0. What is l?
0, 2
Let q(t) be the second derivative of 9*t**5/80 + t**4/16 - t**3/4 + 35*t. Factor q(n).
3*n*(n + 1)*(3*n - 2)/4
Let t(q) = -2*q - 2. Let g be t(-3). Suppose 0 = i - 1 - g. Find k, given that -6*k**3 - 4*k**5 - 5*k**2 + 3*k**2 - 6*k**4 - 8*k**i + 10*k**5 = 0.
-1, 0
Let d(m) be the first derivative of -3/8*m**4 + 1/2*m**2 + 1/12*m**6 - 2 + 0*m + 1/6*m**3 - 1/10*m**5. Suppose d(n) = 0. What is n?
-1, 0, 1, 2
Suppose -4*s + 11 = -5. Let f(t) be the third derivative of -2/9*t**3 + 0 - 1/18*t**s + 0*t - t**2 - 1/180*t**5. Let f(j) = 0. Calculate j.
-2
Let c(l) be the second derivative of l**6/10 - 7*l**5/15 + 5*l**4/6 - 2*l**3/3 - 11*l**2/2 + 11*l. Let d(j) be the first derivative of c(j). Factor d(m).
4*(m - 1)**2*(3*m - 1)
Let s(m) = -4*m**5 + 12*m**4 - 22*m**3 + 20*m**2 - 10*m + 4. Let b(x) = -x**5 + x**4 - x**3 + 1. Let c(v) = 4*b(v) - 2*s(v). Determine h, given that c(h) = 0.
1
Factor -2 - 242/9*a**2 + 44/3*a.
-2*(11*a - 3)**2/9
Let s(c) = -2*c - 4*c**2 + 3*c**2 + 1 + 3*c. Let w(p) = p**3 - 7*p**2 + 9*p - 1. Let q(g) = -2*s(g) + w(g). Find z, given that q(z) = 0.
1, 3
Let o(c) = -2*c**2 - c. Let g(m) = -39*m**2 - 17*m - 1. Let w(u) = 5*g(u) - 35*o(u). Let w(h) = 0. What is h?
-1/5
Let p(l) = -l. Let k(w) = 4*w**3 - 8*w**2. Let b(h) = k(h) - 4*p(h). Find m such that b(m) = 0.
0, 1
Let c(v) be the first derivative of v**4/11 + 2*v**3/33 - 8*v**2/11 + 10*v/11 + 1. Factor c(d).
2*(d - 1)**2*(2*d + 5)/11
Let l = 5 + -1. Find s, given that -10*s**4 - s**3 + 0*s + 2*s**5 - 14*s**2 + 19*s**3 + l*s = 0.
0, 1, 2
Let s(r) = 19*r**4 + 12*r**3 - 18*r**2 - 61*r - 37. Let l(d) = -9*d**4 - 6*d**3 + 9*d**2 + 30*d + 18. Let x(q) = 13*l(q) + 6*s(q). Factor x(p).
-3*(p - 2)*(p + 1)**2*(p + 2)
Let n(z) = -7*z**3 + 19*z**2 - 96*z + 128. Suppose q - 2*q = 2. Let p(w) = 3*w**3 - 10*w**2 + 48*w - 64. Let u(i) = q*n(i) - 5*p(i). Factor u(l).
-(l - 4)**3
Suppose 0 = 6*g - 3 - 9. Let r(m) be the second derivative of 2*m + 1/3*m**3 - m**g + 0 + 1/6*m**4 - 1/10*m**5. Factor r(x).
-2*(x - 1)**2*(x + 1)
Let f(d) be the second derivative of d**6/180 - d**5/15 + d**4/4 - 7*d**3/6 - d. Let c(o) be the second derivative of f(o). Factor c(w).
2*(w - 3)*(w - 1)
Factor -2*d**3 - 3*d - d + d - 4*d**2 + d.
-2*d*(d + 1)**2
Let x = -4905 - -13449. Let m = 42882/5 - x. Factor -72/5*s - m*s**2 - 8/5.
-2*(9*s + 2)**2/5
Let n(a) = 14*a**4 + 52*a**3 + 34*a**2 + 8*a - 6. Let z(i) = i**3 - i**2 - 1. Let h(m) = -n(m) + 6*z(m). Factor h(v).
-2*v*(v + 1)*(v + 2)*(7*v + 2)
What is n in 53 -